diff --git a/.gitignore b/.gitignore
index d1a19546..d42d53c7 100644
--- a/.gitignore
+++ b/.gitignore
@@ -11,3 +11,4 @@ __pycache__
 _gitmsg.saved.txt
 *.egg-info
 dist
+.vscode/
diff --git a/AUTHORS.rst b/AUTHORS.rst
index 100af573..810a30eb 100644
--- a/AUTHORS.rst
+++ b/AUTHORS.rst
@@ -15,4 +15,6 @@ contributed to this package :
 
 * Christof Köhler (University of Bremen)
 
+* Alexander Maryewski (Karlsruhe Institute of Technology, Germany)
+
 * Thomas Niehaus (University of Lyon, France)
diff --git a/sktools/src/sktools/calculators/sktwocnt.py b/sktools/src/sktools/calculators/sktwocnt.py
index c58a56aa..d73f5668 100644
--- a/sktools/src/sktools/calculators/sktwocnt.py
+++ b/sktools/src/sktools/calculators/sktwocnt.py
@@ -11,7 +11,9 @@
 
 SUPPORTED_FUNCTIONALS = {'lda' : 1, 'pbe' : 2, 'blyp' : 3, 'lcy-pbe' : 4,
                          'lcy-bnl' : 5, 'pbe0' : 6, 'b3lyp' : 7,
-                         'camy-b3lyp' : 8, 'camy-pbeh' : 9}
+                         'camy-b3lyp' : 8, 'camy-pbeh' : 9, 'tpss': 10,
+                         'scan': 11, 'r2scan': 12, 'r4scan': 13, 'task': 14,
+                         'task+cc': 15}
 
 INPUT_FILE = "sktwocnt.in"
 STDOUT_FILE = "output"
diff --git a/sktools/src/sktools/calculators/slateratom.py b/sktools/src/sktools/calculators/slateratom.py
index 5659ddb6..694489b4 100644
--- a/sktools/src/sktools/calculators/slateratom.py
+++ b/sktools/src/sktools/calculators/slateratom.py
@@ -16,9 +16,25 @@
 
 LOGGER = logging.getLogger('slateratom')
 
-SUPPORTED_FUNCTIONALS = {'lda' : 2, 'pbe' : 3, 'blyp' : 4, 'lcy-pbe' : 5,
-                         'lcy-bnl' : 6, 'pbe0' : 7, 'b3lyp' : 8,
-                         'camy-b3lyp' : 9, 'camy-pbeh' : 10}
+SUPPORTED_FUNCTIONALS = {
+    "lda": 2,
+    "pbe": 3,
+    "blyp": 4,
+    "lcy-pbe": 5,
+    "lcy-bnl": 6,
+    "pbe0": 7,
+    "b3lyp": 8,
+    "camy-b3lyp": 9,
+    "camy-pbeh": 10,
+    "tpss": 11,
+    "scan": 12,
+    "r2scan": 13,
+    "r4scan": 14,
+    "task": 15,
+    "task+cc": 16
+}
+
+SUPPORTED_MIXERS = {1: 'simple', 2: "broyden"}
 
 INPUT_FILE = "slateratom.in"
 STDOUT_FILE = "output"
@@ -63,12 +79,14 @@ class SlaterAtomSettings(sc.ClassDict):
         Maximal power for every angular momentum.
     """
 
-    def __init__(self, exponents, maxpowers, scftol, maxscfiter):
+    def __init__(self, exponents, maxpowers, scftol, maxscfiter, mixer_id, mixing_parameter):
         super().__init__()
         self.exponents = exponents
         self.maxpowers = maxpowers
         self.scftol = scftol
         self.maxscfiter = maxscfiter
+        self.mixer = mixer_id
+        self.mixing_parameter = mixing_parameter
 
     @classmethod
     def fromhsd(cls, root, query):
@@ -80,7 +98,11 @@ def fromhsd(cls, root, query):
             root, "scftolerance", converter=conv.float0, defvalue=1.0e-10)
         maxscfiter = query.getvalue(
             root, "maxscfiterations", converter=conv.int0, defvalue=120)
-        return cls(exponents, maxpowers, scftol, maxscfiter)
+        mixer_id = query.getvalue(
+            root, "mixer", converter=conv.int0, defvalue=2)
+        mixing_parameter = query.getvalue(
+            root, "mixingparameter", converter=conv.float0, defvalue=0.1)
+        return cls(exponents, maxpowers, scftol, maxscfiter, mixer_id, mixing_parameter)
 
     def __eq__(self, other):
         if not isinstance(other, SlaterAtomSettings):
@@ -167,6 +189,14 @@ def __init__(self, settings, atomconfig, functional, compressions):
             msg = "Slateratom: Maximum number of SCF iterations must be >=1"
             raise sc.SkgenException(msg)
 
+        if self._settings.mixer not in SUPPORTED_MIXERS.keys():
+            msg = f"Slateratom: mixer {self._settings.mixer} not found"
+            raise sc.SkgenException(msg)
+
+        if not (0. <= self._settings.mixing_parameter <= 1.):
+            msg = "Slateratom: mixing parameter must lie within the [0, 1] interval"
+            raise sc.SkgenException(msg)
+
         if self.isXCFunctionalSupported(functional):
             xcfkey = functional.type
             self._functional = SUPPORTED_FUNCTIONALS[xcfkey]
@@ -326,8 +356,8 @@ def write(self, workdir):
 
         out.append("{:s} \t\t{:s} write eigenvectors".format(
             self._LOGICALSTRS[False], self._COMMENT))
-        out.append("{} {:g} \t\t{:s} broyden mixer, mixing factor".format(
-            2, 0.1, self._COMMENT))
+        out.append("{} {:g} \t\t{:s} mixer, mixing factor".format(
+            self._settings.mixer, self._settings.mixing_parameter, self._COMMENT))
 
         # Occupations
         for ll, occperl in enumerate(self._atomconfig.occupations):
@@ -527,19 +557,15 @@ def get_density012(self):
         density : GridData
            Grid data with the density and its first and second derivatives.
         """
-        fp = open(os.path.join(self._workdir, "dens.dat"), "r")
-        fp.readline()
-        fp.readline()
-        fp.readline()
-        fp.readline()
-        fp.readline()
-        ngrid = int(fp.readline())
-        # noinspection PyNoneFunctionAssignment,PyTypeChecker
-        dens = np.fromfile(fp, dtype=float, count=ngrid * 7, sep=" ")
-        fp.close()
-        dens.shape = (ngrid, 7)
-        grid = oc.RadialGrid(dens[:,0], dens[:,1])
-        density = dens[:,2:5]
+
+        with open(os.path.join(self._workdir, "dens.dat"), 'r') as handle:
+            lines_ = [x.split() for x in handle.readlines()]
+            datarray = np.asarray(lines_[6:], dtype=float)
+            grid = oc.RadialGrid(datarray[:,0], datarray[:,1])
+            density = datarray[:,2:5]
+            if datarray.shape[1] == 8:
+                density = np.column_stack([density, datarray[:, 7]])
+
         return oc.GridData(grid, density)
 
     def get_wavefunction012(self, ss, nn, ll):
diff --git a/sktools/src/sktools/xcfunctionals.py b/sktools/src/sktools/xcfunctionals.py
index 47e53ec5..e5cbc8cf 100644
--- a/sktools/src/sktools/xcfunctionals.py
+++ b/sktools/src/sktools/xcfunctionals.py
@@ -188,6 +188,69 @@ def fromhsd(cls, root, query):
         myself.beta = 1.0
         return myself
 
+class XCTPSS(sc.ClassDict):
+    """mGGA TPSS xc-functional."""
+
+    @classmethod
+    def fromhsd(cls, root, query):
+        """Creates instance from a HSD-node and with given query object."""
+        myself = cls()
+        myself.type = "tpss"
+        return myself
+
+
+class XCSCAN(sc.ClassDict):
+    """mGGA SCAN xc-functional."""
+
+    @classmethod
+    def fromhsd(cls, root, query):
+        """Creates instance from a HSD-node and with given query object."""
+        myself = cls()
+        myself.type = "scan"
+        return myself
+
+
+class XCR2SCAN(sc.ClassDict):
+    """mGGA r2SCAN xc-functional."""
+
+    @classmethod
+    def fromhsd(cls, root, query):
+        """Creates instance from a HSD-node and with given query object."""
+        myself = cls()
+        myself.type = "r2scan"
+        return myself
+
+
+class XCR4SCAN(sc.ClassDict):
+    """mGGA r4SCAN xc-functional."""
+
+    @classmethod
+    def fromhsd(cls, root, query):
+        """Creates instance from a HSD-node and with given query object."""
+        myself = cls()
+        myself.type = "r4scan"
+        return myself
+
+
+class XCTASK(sc.ClassDict):
+    """mGGA TASK xc-functional."""
+
+    @classmethod
+    def fromhsd(cls, root, query):
+        """Creates instance from a HSD-node and with given query object."""
+        myself = cls()
+        myself.type = "task"
+        return myself
+    
+class XCTASK_CC(sc.ClassDict):
+    """mGGA TASK+CC xc-functional."""
+
+    @classmethod
+    def fromhsd(cls, root, query):
+        """Creates instance from a HSD-node and with given query object."""
+        myself = cls()
+        myself.type = "task+cc"
+        return myself
 
 class XCLocal(sc.ClassDict):
     '''Local xc-functional.'''
@@ -235,14 +298,20 @@ def fromhsd(cls, root, query):
 
 # Registered xc-functionals with corresponding HSD name as key:
 XCFUNCTIONALS = {
-    'lcy-bnl': XCLCYBNL,
-    'lcy-pbe': XCLCYPBE,
-    'local': XCLocal,
-    'pbe': XCPBE,
-    'lda': XCLDA,
-    'blyp': XCBLYP,
-    'pbe0': XCPBE0,
-    'b3lyp': XCB3LYP,
-    'camy-b3lyp': XCCAMYB3LYP,
-    'camy-pbeh': XCCAMYPBEH
+    "lcy-bnl": XCLCYBNL,
+    "lcy-pbe": XCLCYPBE,
+    "local": XCLocal,
+    "pbe": XCPBE,
+    "lda": XCLDA,
+    "blyp": XCBLYP,
+    "pbe0": XCPBE0,
+    "b3lyp": XCB3LYP,
+    "camy-b3lyp": XCCAMYB3LYP,
+    "camy-pbeh": XCCAMYPBEH,
+    "tpss": XCTPSS,
+    "scan": XCSCAN,
+    "r2scan": XCR2SCAN,
+    "r4scan": XCR4SCAN,
+    "task": XCTASK,
+    "task+cc": XCTASK_CC
 }
diff --git a/sktwocnt/lib/twocnt.f90 b/sktwocnt/lib/twocnt.f90
index 9c63bf24..a42de140 100644
--- a/sktwocnt/lib/twocnt.f90
+++ b/sktwocnt/lib/twocnt.f90
@@ -22,9 +22,11 @@ module twocnt
   use, intrinsic :: iso_c_binding, only : c_size_t
 
   use xc_f03_lib_m, only : xc_f03_func_t, xc_f03_func_init, xc_f03_func_end, xc_f03_lda_vxc,&
-      & xc_f03_gga_vxc, XC_LDA_X, XC_LDA_X_YUKAWA, XC_LDA_C_PW, XC_GGA_X_PBE, XC_GGA_C_PBE,&
-      & XC_GGA_X_B88, XC_GGA_C_LYP, XC_GGA_X_SFAT_PBE, XC_HYB_GGA_XC_B3LYP,&
-      & XC_HYB_GGA_XC_CAMY_B3LYP, XC_UNPOLARIZED, xc_f03_func_set_ext_params
+  & xc_f03_gga_vxc, xc_f03_mgga_vxc, XC_LDA_X, XC_LDA_X_YUKAWA, XC_LDA_C_PW, XC_GGA_X_PBE,&
+  & XC_GGA_C_PBE, XC_GGA_X_B88, XC_GGA_C_LYP, XC_GGA_X_SFAT_PBE, XC_MGGA_X_TPSS, XC_MGGA_C_TPSS,&
+  & XC_MGGA_X_SCAN, XC_MGGA_C_SCAN,  XC_MGGA_X_R2SCAN, XC_MGGA_C_R2SCAN, XC_MGGA_X_R4SCAN,&
+  & XC_MGGA_X_TASK, XC_HYB_GGA_XC_B3LYP, XC_HYB_GGA_XC_CAMY_B3LYP, XC_MGGA_C_CC, &
+  & XC_UNPOLARIZED, xc_f03_func_set_ext_params
 
   implicit none
   private
@@ -61,7 +63,7 @@ module twocnt
     type(TGridorb2) :: pot
 
     !> atomic density and 1st/2nd derivative on grid
-    type(TGridorb2) :: rho, drho, ddrho
+    type(TGridorb2) :: rho, drho, ddrho, tau
 
   end type TAtomdata
 
@@ -122,6 +124,9 @@ module twocnt
     !! true, if a CAM functional is requested
     logical :: tCam
 
+    !! true, if a MGGA functional is requested
+    logical :: tMGGA
+
     !> atomic properties of slateratom code, in the homonuclear case only atom1 is read
     type(TAtomdata) :: atom1, atom2
 
@@ -269,6 +274,24 @@ subroutine get_twocenter_integrals(inp, imap, skham, skover)
       call xc_f03_func_init(xcfunc_x, XC_GGA_X_PBE, XC_UNPOLARIZED)
       ! cpbe96
       call xc_f03_func_init(xcfunc_c, XC_GGA_C_PBE, XC_UNPOLARIZED)
+    case(xcFunctional%MGGA_TPSS)
+      call xc_f03_func_init(xcfunc_x, XC_MGGA_X_TPSS, XC_UNPOLARIZED)
+      call xc_f03_func_init(xcfunc_c, XC_MGGA_C_TPSS, XC_UNPOLARIZED)
+    case(xcFunctional%MGGA_SCAN)
+      call xc_f03_func_init(xcfunc_x, XC_MGGA_X_SCAN, XC_UNPOLARIZED)
+      call xc_f03_func_init(xcfunc_c, XC_MGGA_C_SCAN, XC_UNPOLARIZED)
+    case(xcFunctional%MGGA_r2SCAN)
+      call xc_f03_func_init(xcfunc_x, XC_MGGA_X_R2SCAN, XC_UNPOLARIZED)
+      call xc_f03_func_init(xcfunc_c, XC_MGGA_C_R2SCAN, XC_UNPOLARIZED)
+    case(xcFunctional%MGGA_r4SCAN)
+      call xc_f03_func_init(xcfunc_x, XC_MGGA_X_R4SCAN, XC_UNPOLARIZED)
+      call xc_f03_func_init(xcfunc_c, XC_MGGA_C_R2SCAN, XC_UNPOLARIZED)
+    case(xcFunctional%MGGA_TASK)
+      call xc_f03_func_init(xcfunc_x, XC_MGGA_X_TASK, XC_UNPOLARIZED)
+      call xc_f03_func_init(xcfunc_c, XC_LDA_C_PW, XC_UNPOLARIZED)
+    case(xcFunctional%MGGA_TASK_CC)
+      call xc_f03_func_init(xcfunc_x, XC_MGGA_X_TASK, XC_UNPOLARIZED)
+      call xc_f03_func_init(xcfunc_c, XC_MGGA_C_CC, XC_UNPOLARIZED)
     end select
 
     if (inp%tLC .or. inp%tCam) then
@@ -439,7 +462,8 @@ subroutine getskintegrals(beckeInt, radialHFQuadrature, nRad, nAng, atom1, atom2
 
     !> xc-functional type
     !! (1: LDA-PW91, 2: GGA-PBE96, 3: GGA-BLYP, 4: LCY-PBE96, 5: LCY-BNL, 6: PBE0, 7: B3LYP,
-    !! 8: CAMY-B3LYP, 9: CAMY-PBEh)
+    !! 8: CAMY-B3LYP, 9: CAMY-PBEh, 10: TPSS, 11: SCAN, 12: r2SCAN, 13: r4SCAN, 14: TASK,
+    !! 15: TASK+CC)
     integer, intent(in) :: iXC
 
     !> CAM alpha parameter
@@ -482,7 +506,7 @@ subroutine getskintegrals(beckeInt, radialHFQuadrature, nRad, nAng, atom1, atom2
     real(dp), allocatable :: radval2(:,:), radval2p(:,:), radval2pp(:,:)
 
     !! total potential and electron density of two atoms
-    real(dp), allocatable :: potval(:), densval(:)
+    real(dp), allocatable :: potval(:), densval(:), tauval(:), taupotval(:)
 
     !! atomic 1st density derivatives of atom 1
     real(dp), allocatable :: densval1p(:)
@@ -511,9 +535,12 @@ subroutine getskintegrals(beckeInt, radialHFQuadrature, nRad, nAng, atom1, atom2
     !! integral index
     integer :: ii
 
+    !! dummy laplacian
+    real(dp), allocatable :: lapl(:), vlapl(:)
+
     !! libxc related objects
     real(dp), allocatable :: vxc(:), vx(:), vx_sr(:), vc(:)
-    real(dp), allocatable :: rhor(:), sigma(:), vxcsigma(:), vxsigma(:), vxsigma_sr(:), vcsigma(:)
+    real(dp), allocatable :: rhor(:), sigma(:), tau(:), vxcsigma(:), vxsigma(:), vxsigma_sr(:), vcsigma(:), vxtau(:), vctau(:)
     real(dp), allocatable :: divvxc(:), divvx(:), divvc(:)
 
     r1 => grid1(:, 1)
@@ -564,6 +591,18 @@ subroutine getskintegrals(beckeInt, radialHFQuadrature, nRad, nAng, atom1, atom2
         densval2p = atom2%drho%getValue(r2)
         ! care about correct 4pi normalization of density and compute sigma
         sigma = getLibxcSigma(densval1p, densval2p, dots)
+        if (xcFunctional%isMGGA(iXC)) then
+          allocate(tauval(nGrid))
+          tauval(:) = atom1%tau%getValue(r1) + atom2%tau%getValue(r2)
+          tau = getLibxcTau(tauval)
+
+          allocate(vxtau(nGrid))
+          vxtau(:) = 0.0_dp
+          if (iXC /= xcFunctional%MGGA_TASK) then
+             allocate(vctau(nGrid))
+             vctau(:) = 0.0_dp
+          end if
+       end if
       end if
       if (tGlobalHybrid .or. tCam) then
         allocate(vxc(nGrid))
@@ -593,6 +632,27 @@ subroutine getskintegrals(beckeInt, radialHFQuadrature, nRad, nAng, atom1, atom2
         call getDivergence(nRad, nAng, densval1p, densval2p, r1, r2, theta1, theta2, vxsigma, divvx)
         call getDivergence(nRad, nAng, densval1p, densval2p, r1, r2, theta1, theta2, vcsigma, divvc)
         potval = vx + vc + divvx + divvc
+      ! 10: MGGA-TPSS, 11: MGGA-SCAN, 12: MGGA-r2SCAN, 13: MGGA-r4SCAN,
+      ! 14: MGGA-TASK, 15: MGGA-TASK+CC 
+      case(10:15)
+        ! MGGA exchange
+        call xc_f03_mgga_vxc(xcfunc_x, nGridLibxc, rhor(1), sigma(1), lapl(1), tau(1),&
+        & vx(1), vxsigma(1), vlapl(1), vxtau(1))
+        call getDivergence(nRad, nAng, densval1p, densval2p, r1, r2, theta1, theta2, vxsigma, divvx)
+        ! 11: MGGA-TPSS, 12: MGGA-SCAN, 13: MGGA-r2SCAN, 14: MGGA-TASK
+        if (iXC /= xcFunctional%MGGA_TASK) then
+          ! MGGA correlation
+          call xc_f03_mgga_vxc(xcfunc_c, nGridLibxc, rhor(1), sigma(1), lapl(1), tau(1),&
+          & vc(1), vcsigma(1), vlapl(1), vctau(1))
+          call getDivergence(nRad, nAng, densval1p, densval2p, r1, r2, theta1, theta2, vcsigma, divvc)
+          potval = vx + vc + divvx + divvc
+          taupotval = vxtau + vctau
+        else
+          ! LDA correlation for TASK
+          call xc_f03_lda_vxc(xcfunc_c, nGridLibxc, rhor(1), vc(1))
+          potval = vx + vc + divvx
+          taupotval = vxtau
+        end if
       ! 5: LCY-BNL
       case(xcFunctional%LCY_BNL)
         call xc_f03_lda_vxc(xcfunc_x, nGridLibxc, rhor(1), vx(1))
@@ -654,7 +714,7 @@ subroutine getskintegrals(beckeInt, radialHFQuadrature, nRad, nAng, atom1, atom2
       ! calculate SK-quantities
       ! Hamiltonian
       integ1 = getHamiltonian(radval1(:, i1), radval2(:, i2), radval2p(:, i2), radval2pp(:, i2),&
-          & r2, l2, spherval1, spherval2, potval, weights)
+          & r2, l2, spherval1, spherval2, potval, taupotval, weights)
       ! overlap integral: \sum_{r,\Omega} R_1(r) Y_1(\Omega) R_2(r) Y_2(\Omega) weight
       integ2 = getOverlap(radval1(:, i1), radval2(:, i2), spherval1, spherval2, weights)
       ! total density: \int (|\phi_1|^2 + |\phi_2|^2)
@@ -735,6 +795,20 @@ pure function getLibxcSigma(drho1, drho2, dots) result(sigma)
 
   end function getLibxcSigma
 
+  !> Calculates libXC renormalized density superposition of dimer.
+  pure function getLibxcTau(tau) result(tau_libxc)
+
+    !> superposition of atomic densities of atom 1 and atom 2
+    real(dp), intent(in) :: tau(:)
+
+    !> renormalized density
+    real(dp), allocatable :: tau_libxc(:)
+
+    ! renorm rho (incoming quantities are 4pi normed)
+    tau_libxc = tau * rec4pi
+
+  end function getLibxcTau
+
 
   !> Computes contribution div(v) to the xc-potential due to vsigma = deps/dsigma returned by libxc.
   !! div(v) = -2 div(vsigma grad(n)), evaluated in spherical coordinates r1, theta1 as:
@@ -895,8 +969,8 @@ end function getdensity
 
 
   !> Calculates Hamiltonian for a fixed orbital and interaction configuration.
-  pure function getHamiltonian(rad1, rad2, rad2p, rad2pp, r2, l2, spher1, spher2, pot, weights)&
-      & result(res)
+  pure function getHamiltonian(rad1, rad2, rad2p, rad2pp, r2, l2, spher1,&
+  & spher2, pot, pot_tau, weights) result(res)
 
     !> radial grid-orbital portion of atom 1 and atom 2
     real(dp), intent(in) :: rad1(:), rad2(:)
@@ -916,18 +990,31 @@ pure function getHamiltonian(rad1, rad2, rad2p, rad2pp, r2, l2, spher1, spher2,
     !> effective potential on grid
     real(dp), intent(in) :: pot(:)
 
+    !> effective potential on grid
+    real(dp), intent(in), allocatable :: pot_tau(:)
+
     !> integration weights
     real(dp), intent(in) :: weights(:)
 
     !! resulting Hamiltonian matrix element
     real(dp) :: res
 
-    res = sum((rad1 * spher1)&
-        & * (- 0.5_dp * rad2pp&
-        & - rad2p / r2&
-        & + 0.5_dp * l2 * (l2 + 1) * rad2 / r2**2&
-        & + pot * rad2)&
-        & * spher2 * weights)
+    if (allocated(pot_tau)) then
+      res = sum((rad1 * spher1)&
+          & * ((- 0.5_dp * rad2pp&
+          & - rad2p / r2&
+          & + 0.5_dp * l2 * (l2 + 1) * rad2 / r2**2)&
+          & * (1.0_dp + pot_tau)&
+          & + pot * rad2)&
+          & * spher2 * weights)
+    else
+      res = sum((rad1 * spher1)&
+          & * (- 0.5_dp * rad2pp&
+          & - rad2p / r2&
+          & + 0.5_dp * l2 * (l2 + 1) * rad2 / r2**2&
+          & + pot * rad2)&
+          & * spher2 * weights)
+    end if
 
   end function getHamiltonian
 
diff --git a/sktwocnt/lib/xcfunctionals.f90 b/sktwocnt/lib/xcfunctionals.f90
index b12325d5..fe1b0800 100644
--- a/sktwocnt/lib/xcfunctionals.f90
+++ b/sktwocnt/lib/xcfunctionals.f90
@@ -37,10 +37,29 @@ module xcfunctionals
     !> CAMY-PBEh
     integer :: CAMY_PBEh = 9
 
+    !> TPSS
+    integer :: MGGA_TPSS = 10
+
+    !> SCAN
+    integer :: MGGA_SCAN = 11
+
+    !> r2SCAN
+    integer :: MGGA_r2SCAN = 12
+
+    !> r4SCAN
+    integer :: MGGA_r4SCAN = 13
+
+    !> TASK
+    integer :: MGGA_TASK = 14
+
+    !> TASK+CC
+    integer :: MGGA_TASK_CC = 15
+
   contains
 
     procedure :: isLDA => TXcFunctionalsEnum_isLDA
     procedure :: isGGA => TXcFunctionalsEnum_isGGA
+    procedure :: isMGGA => TXcFunctionalsEnum_isMGGA
     procedure :: isGlobalHybrid => TXcFunctionalsEnum_isGlobalHybrid
     procedure :: isLongRangeCorrected => TXcFunctionalsEnum_isLongRangeCorrected
     procedure :: isCAMY => TXcFunctionalsEnum_isCAMY
@@ -90,6 +109,25 @@ pure function TXcFunctionalsEnum_isGGA(this, xcnr) result(isGGA)
 
   end function TXcFunctionalsEnum_isGGA
 
+  pure function TXcFunctionalsEnum_isMGGA(this, xcnr) result(isMGGA)
+
+  !> Class instance
+  class(TXcFunctionalsEnum), intent(in) :: this
+
+  !> identifier of exchange-correlation type
+  integer, intent(in) :: xcnr
+
+  !> True, if xc-functional index corresponds to a GGA functional
+  logical :: isMGGA
+
+  isMGGA = .false.
+
+  if (xcnr == this%MGGA_TPSS .or. xcnr == this%MGGA_SCAN&
+  & .or. xcnr == this%MGGA_r2SCAN .or. xcnr == this%MGGA_r4SCAN&
+  & .or. xcnr == this%MGGA_TASK .or. xcnr == this%MGGA_TASK_CC)&
+  & isMGGA = .true.
+
+  end function TXcFunctionalsEnum_isMGGA
 
   pure function TXcFunctionalsEnum_isLongRangeCorrected(this, xcnr) result(isLongRangeCorrected)
 
diff --git a/sktwocnt/prog/input.f90 b/sktwocnt/prog/input.f90
index 1c636b49..d626c32c 100644
--- a/sktwocnt/prog/input.f90
+++ b/sktwocnt/prog/input.f90
@@ -45,8 +45,8 @@ subroutine readInput(inp, fname)
     integer :: iErr
 
     !! xc-functional type
-    !! (1: LDA-PW91, 2: GGA-PBE96, 3: GGA-BLYP, 4: LCY-PBE96, 5: LCY-BNL, 6: PBE0, 7: B3LYP,
-    !! 8: CAMY-B3LYP, 9: CAMY-PBEh)
+    ! (1: LDA-PW91, 2: GGA-PBE96, 3: GGA-BLYP, 4: LCY-PBE96, 5: LCY-BNL, 6: PBE0, 7: B3LYP,
+    !! 8: CAMY-B3LYP, 9: CAMY-PBEh, 10: TPSS, 11: SCAN, 12: r2SCAN, 13: r4SCAN, 14: TASK)
     integer :: iXC
 
     !! potential data columns, summed up in order to receive the total atomic potential
@@ -58,6 +58,7 @@ subroutine readInput(inp, fname)
     inp%tLC = .false.
     inp%tCam = .false.
     inp%tGlobalHybrid = .false.
+    inp%tMGGA = .false.
 
     fp = 14
     open(fp, file=fname, form="formatted", action="read")
@@ -107,6 +108,10 @@ subroutine readInput(inp, fname)
     case(xcFunctional%CAMY_PBEh)
       ! CAMY-PBEh (general CAM form)
       inp%tCam = .true.
+    case(xcFunctional%MGGA_TPSS, xcFunctional%MGGA_SCAN,&
+      & xcFunctional%MGGA_r2SCAN, xcFunctional%MGGA_r4SCAN,&
+      & xcFunctional%MGGA_TASK, xcFunctional%MGGA_TASK_CC)
+        inp%tMGGA = .true.
     case default
       call error_("Unknown exchange-correlation functional!", fname, line, iline)
     end select
@@ -172,10 +177,10 @@ subroutine readInput(inp, fname)
     tReadRadDerivs = .not. inp%tHetero
 
     call readatom_(fname, fp, iLine, potcomps, inp%tDensitySuperpos, tReadRadDerivs,&
-        & (inp%tGlobalHybrid .or. inp%tLC .or. inp%tCam), inp%atom1)
+        & (inp%tGlobalHybrid .or. inp%tLC .or. inp%tCam), inp%tMGGA, inp%atom1)
     if (inp%tHetero) then
       call readatom_(fname, fp, iLine, potcomps, inp%tDensitySuperpos, .true., (inp%tGlobalHybrid&
-          & .or. inp%tLC .or. inp%tCam), inp%atom2)
+          & .or. inp%tLC .or. inp%tCam), inp%tMGGA, inp%atom2)
     end if
 
     close(fp)
@@ -185,7 +190,7 @@ end subroutine readInput
 
   !> Fills TAtomdata instance based on slateratom's output.
   subroutine readatom_(fname, fp, iLine, potcomps, tDensitySuperpos, tReadRadDerivs, tNonLocal,&
-      & atom)
+      & tMGGA, atom)
 
     !> filename
     character(len=*), intent(in) :: fname
@@ -208,6 +213,9 @@ subroutine readatom_(fname, fp, iLine, potcomps, tDensitySuperpos, tReadRadDeriv
     !! true, there are non-local exchange contributions to calculate
     logical, intent(in) :: tNonLocal
 
+    !! true if tau needs to be read from density file
+    logical, intent(in) :: tMGGA
+
     !> atomic properties instance
     type(TAtomdata), intent(out) :: atom
 
@@ -302,7 +310,12 @@ subroutine readatom_(fname, fp, iLine, potcomps, tDensitySuperpos, tReadRadDeriv
     read(line, *, iostat=iErr) buffer
     call checkerror_(fname, line, iLine, iErr)
     if (tDensitySuperpos) then
-      call readdata_(buffer, [1, 3, 4, 5], data)
+      if (tMGGA) then
+        call readdata_(buffer, [1, 3, 4, 5, 6], data)
+        call TGridorb2_init(atom%tau, data(:, 1), data(:, 5))
+     else
+        call readdata_(buffer, [1, 3, 4, 5], data)
+     end if
       call TGridorb2_init(atom%rho, data(:, 1), data(:, 2))
       call TGridorb2_init(atom%drho, data(:, 1), data(:, 3))
       call TGridorb2_init(atom%ddrho, data(:, 1), data(:, 4))
diff --git a/sktwocnt/prog/main.f90 b/sktwocnt/prog/main.f90
index 182c423d..f9d84ed0 100644
--- a/sktwocnt/prog/main.f90
+++ b/sktwocnt/prog/main.f90
@@ -22,7 +22,7 @@ program main
 
   call readInput(inp, "sktwocnt.in")
   write(*, "(A)") "Input done."
-
+  
   call get_twocenter_integrals(inp, imap, skham, skover)
   write(*, "(A)") "Twocnt done."
 
diff --git a/slateratom/lib/CMakeLists.txt b/slateratom/lib/CMakeLists.txt
index 78399778..327e6057 100644
--- a/slateratom/lib/CMakeLists.txt
+++ b/slateratom/lib/CMakeLists.txt
@@ -24,6 +24,7 @@ set(sources-f90
   mixer.f90
   numerical_differentiation.f90
   output.f90
+  sap.f90
   total_energy.f90
   utilities.f90
   xcfunctionals.f90
diff --git a/slateratom/lib/density.f90 b/slateratom/lib/density.f90
index 1af7c7f1..a46f5d36 100644
--- a/slateratom/lib/density.f90
+++ b/slateratom/lib/density.f90
@@ -13,8 +13,8 @@ module density
   public :: basis_times_basis, basis_times_basis_1st, basis_times_basis_2nd
   public :: basis_1st_times_basis_1st, basis_2nd_times_basis_2nd
   public :: basis_times_basis_times_r2, basis_times_basis_1st_times_r2,&
-      & basis_times_basis_2nd_times_r2, basis_times_basis_1st_times_r,&
-      & basis_1st_times_basis_1st_times_r2
+  & basis_times_basis_2nd_times_r2, basis_times_basis_1st_times_r,&
+  & basis_1st_times_basis_1st_times_r2, tau_at_point
 
 
 contains
@@ -221,6 +221,81 @@ pure function density_at_point_2nd(pp, max_l, num_alpha, poly_order, alpha, rr)
 
   end function density_at_point_2nd
 
+  !> Calculates kinetic energy density at a radial point in space analytically.
+  pure function tau_at_point(pp, max_l, num_alpha, poly_order, alpha, rr)
+
+    !> density matrix supervector
+    real(dp), intent(in) :: pp(0:,:,:)
+
+    !> maximum angular momentum
+    integer, intent(in) :: max_l
+
+    !> number of exponents in each shell
+    integer, intent(in) :: num_alpha(0:)
+
+    !> highest polynomial order + l in each shell
+    integer, intent(in) :: poly_order(0:)
+
+    !> basis exponents
+    real(dp), intent(in) :: alpha(0:,:)
+
+    !> radial point in space, i.e. abcissa
+    real(dp), intent(in) :: rr
+
+    !> resulting analytical 2nd derivative at a radial point in space
+    real(dp) :: tau_at_point
+
+    !> auxiliary variables
+    integer :: ii, jj, kk, ll, mm, nn, oo, start
+
+    tau_at_point = 0.0_dp
+
+    do ii = 0, max_l
+      ll = 0
+      do jj = 1, num_alpha(ii)
+        do kk = 1, poly_order(ii)
+          ll = ll + 1
+
+            ! set global index correctly
+          oo = ll - 1
+          do mm = jj, num_alpha(ii)
+
+              ! catch start index for polynomials, different depending on alpha block
+            start = 1
+            if (mm == jj) start = kk
+
+                do nn = start, poly_order(ii)
+                oo = oo + 1
+
+                  ! TODO: eq. 5, term T in 10.1103/RevModPhys.32.186
+                ! TODO: fix H atom convergence;
+                ! second term seems unrelated, the problem must be in basis_1st_times_basis_1st
+                ! or in some normalization term
+                if (ll == oo) then
+                  tau_at_point = tau_at_point + pp(ii, ll, oo) * (basis_1st_times_basis_1st(&
+                                 & alpha(ii, jj), kk, alpha(ii, mm), nn, ii, rr) + &
+                                 & basis_times_basis_times_rminus2(alpha(ii, jj), kk, alpha(ii, mm), nn, ii, rr) &
+                                 & * real(ii * (ii + 1), dp))
+
+                  end if
+
+                  if (ll /= oo) then
+                   tau_at_point = tau_at_point + 2.0_dp * pp(ii, ll, oo) * (basis_1st_times_basis_1st(&
+                   & alpha(ii, jj), kk, alpha(ii, mm), nn, ii, rr) + &
+                   & basis_times_basis_times_rminus2(alpha(ii, jj), kk, alpha(ii, mm), nn, ii, rr) &
+                   & * real(ii * (ii + 1), dp))
+                end if
+
+                end do
+          end do
+        end do
+      end do
+    end do
+
+    ! Normalize tau
+    tau_at_point = tau_at_point * 0.5_dp
+
+  end function tau_at_point
 
   !> Calculates wavefunction at a radial point in space analytically.
   pure function wavefunction(cof, alpha, num_alpha, poly_order, ang, rr)
@@ -786,6 +861,63 @@ pure function basis_times_basis_times_r2(alpha, poly1, beta, poly2, ll, rr)
 
   end function basis_times_basis_times_r2
 
+  !> Evaluates product of two primitive Slater basis functions with r^(-2) at a radial point in space.
+  !> r^(-2)r^(m-1)*e^(-alpha*r)*r^(n-1)*exp(-beta*r)=r^(m+n-2)*exp(-(alpha+beta)*r)
+  pure function basis_times_basis_times_rminus2(alpha, poly1, beta, poly2, ll, rr)
+
+    !> basis exponent of 1st basis
+    real(dp), intent(in) :: alpha
+
+    !> highest polynomial order in 1st basis shell
+    integer, intent(in) :: poly1
+
+    !> basis exponent of 2nd basis
+    real(dp), intent(in) :: beta
+
+    !> highest polynomial order in 2nd basis shell
+    integer, intent(in) :: poly2
+
+    !> angular momentum
+    integer, intent(in) :: ll
+
+    !> radial point in space, i.e. abcissa
+    real(dp), intent(in) :: rr
+
+    !> product of two primitive Slater basis functions at a radial point in space
+    real(dp) :: basis_times_basis_times_rminus2
+
+    !> normalization pre-factors
+    real(dp) :: normalization1, normalization2
+
+    ! auxiliary variables
+    integer :: mm, nn
+    real(dp) :: ab
+
+    mm = poly1 + ll
+    nn = poly2 + ll
+    ab = - (alpha + beta)
+
+    normalization1 = (2.0_dp * alpha)**(mm) * sqrt(2.0_dp * alpha) / sqrt(fak(2 * mm))
+    normalization2 = (2.0_dp * beta)**(nn) * sqrt(2.0_dp * beta) / sqrt(fak(2 * nn))
+
+    ! catch 0^0
+    if ((rr == 0.0_dp) .and. ((mm + nn - 4) == 0)) then
+       basis_times_basis_times_rminus2 = normalization1 * normalization2 * exp(ab * rr)
+    else
+       basis_times_basis_times_rminus2 = normalization1 * normalization2 * rr**(mm + nn - 4) * exp(ab * rr)
+    end if
+
+    ! NOTE: there are cases where (mm + n - 4) < 0, resulting in singularity (for example, in calculation of
+    ! kinetic energy density of a product of 1s-orbitals). This, however, does not matter numerically,
+    ! because the product is later multiplied with \lambda (\lambda + 1), which is zero in such cases,
+    ! resulting in no numerical artifacts. The results of the calculations that rely on this function
+    ! were tested against NWChem 7.2.2. (binary distribution from conda-forge), and those usually
+    ! agree up to the 10^(-4) Hartree in total energies for very large basis sets.
+
+    if (abs(basis_times_basis_times_rminus2) < 1.0d-20) basis_times_basis_times_rminus2 = 0.0_dp
+
+  end function basis_times_basis_times_rminus2
+
 
   !> Evaluates product of a basis function with 1st derivative of another basis function and r^2.
   !! beta and poly2 are the arguments of the derivative.
@@ -881,7 +1013,7 @@ pure function basis_times_basis_2nd_times_r2(alpha, poly1, beta, poly2, ll, rr)
     negative = real(2 * (nn - 1), dp) * beta * rr**(nn + mm - 1)
 
     basis_times_basis_2nd_times_r2 = normalization1 * normalization2&
-        & * (positive - negative) * exp(ab * rr)
+                                     & * (positive - negative) * exp(ab * rr)
 
     if (abs(basis_times_basis_2nd_times_r2) < 1.0d-20) basis_times_basis_2nd_times_r2 = 0.0_dp
 
diff --git a/slateratom/lib/dft.f90 b/slateratom/lib/dft.f90
index cda52119..d5f6a3d0 100644
--- a/slateratom/lib/dft.f90
+++ b/slateratom/lib/dft.f90
@@ -5,15 +5,18 @@ module dft
   use common_accuracy, only : dp
   use common_constants, only : pi, rec4pi
   use xcfunctionals, only : xcFunctional, getExcVxc_LDA_PW91,&
-      & getExcVxc_GGA_PBE96, getExcVxc_GGA_BLYP, getExcVxc_LCY_PBE96, getExcVxc_LCY_BNL,&
-      & getExcVxc_HYB_B3LYP, getExcVxc_HYB_PBE0, getExcVxc_CAMY_B3LYP, getExcVxc_CAMY_PBEh
+  & getExcVxc_GGA_PBE96, getExcVxc_GGA_BLYP, getExcVxc_LCY_PBE96, getExcVxc_LCY_BNL,&
+  & getExcVxc_HYB_B3LYP, getExcVxc_HYB_PBE0, getExcVxc_CAMY_B3LYP, getExcVxc_CAMY_PBEh, &
+  & getExcVxc_MGGA_TPSS, getExcVxc_MGGA_SCAN, getExcVxc_MGGA_r2SCAN, getExcVxc_MGGA_r4SCAN,&
+  & getExcVxc_MGGA_TASK, getExcVxc_MGGA_TASK_CC
   use density, only : basis, basis_times_basis_times_r2, density_at_point, density_at_point_1st,&
-      & density_at_point_2nd
+  & density_at_point_2nd, tau_at_point, basis_1st_times_basis_1st_times_r2, basis_1st_times_basis_1st
+  use globals, only : xcnr
 
   implicit none
   private
 
-  public :: dft_start_pot, density_grid, dft_exc_energy, dft_vxc_energy
+  public :: thomas_fermi_start_pot, density_grid, dft_exc_energy, dft_vxc_energy
   public :: dft_exc_matrixelement, xalpha
   public :: check_accuracy
 
@@ -25,7 +28,7 @@ module dft
   !!
   !! Generalized Thomas-Fermi atomic potential as published by R. Latter,
   !! Phys. Rev. 99, 510 (1955) eqn. 5/9 and implemented in Dirk Porezags scfatom.
-  pure subroutine dft_start_pot(abcissa, num_mesh_points, nuc, vxc)
+  pure subroutine thomas_fermi_start_pot(abcissa, num_mesh_points, nuc, vxc)
 
     !> numerical integration abcissas
     real(dp), intent(in) :: abcissa(:)
@@ -59,13 +62,13 @@ pure subroutine dft_start_pot(abcissa, num_mesh_points, nuc, vxc)
 
     end do
 
-  end subroutine dft_start_pot
+  end subroutine thomas_fermi_start_pot
 
 
   !> Calculate and store density and density derivatives on radial grid.
   !! Further calculates and stores exchange-correlation potential and energy density on grid.
   subroutine density_grid(pp, max_l, num_alpha, poly_order, alpha, num_mesh_points, abcissa, dzdr,&
-      & dz, xcnr, omega, camAlpha, camBeta, rho, drho, ddrho, vxc, exc, xalpha_const)
+    & dz, xcnr, omega, camAlpha, camBeta, rho, drho, ddrho, tau, vxc, vtau, exc, xalpha_const)
 
     !> density matrix supervector
     real(dp), intent(in) :: pp(:, 0:,:,:)
@@ -115,6 +118,12 @@ subroutine density_grid(pp, max_l, num_alpha, poly_order, alpha, num_mesh_points
     !> 2nd deriv. of density on grid
     real(dp), intent(out) :: ddrho(:,:)
 
+    !> kinetic energy density on grid
+    real(dp), intent(out) :: tau(:,:)
+
+    !> orbital-dependent potential on grid
+    real(dp), intent(out) :: vtau(:,:)
+
     !> xc potential on grid
     real(dp), intent(out) :: vxc(:,:)
 
@@ -149,6 +158,8 @@ subroutine density_grid(pp, max_l, num_alpha, poly_order, alpha, num_mesh_points
     ddrho(:,:) = 0.0_dp
     exc(:) = 0.0_dp
     vxc(:,:) = 0.0_dp
+    vtau(:,:) = 0.0_dp
+    tau(:, :) = 0.0_dp
 
     ! get density on grid
     do ii = 1, num_mesh_points
@@ -158,7 +169,7 @@ subroutine density_grid(pp, max_l, num_alpha, poly_order, alpha, num_mesh_points
     rho = max(rho, 0.0_dp)
 
     ! get density derivatives on grid
-    if (xcFunctional%isGGA(xcnr) .or. xcFunctional%isLongRangeCorrected(xcnr)&
+    if (xcFunctional%isGGA(xcnr) .or. xcFunctional%isMGGA(xcnr) .or. xcFunctional%isLongRangeCorrected(xcnr)&
         & .or. xcFunctional%isGlobalHybrid(xcnr) .or. xcFunctional%isCAMY(xcnr)) then
       do ii = 1, num_mesh_points
 
@@ -178,7 +189,7 @@ subroutine density_grid(pp, max_l, num_alpha, poly_order, alpha, num_mesh_points
     rhor = transpose(rho) * rec4pi
 
     ! get contracted gradients of the density
-    if (xcFunctional%isGGA(xcnr) .or. xcFunctional%isLongRangeCorrected(xcnr)&
+    if (xcFunctional%isGGA(xcnr) .or. xcFunctional%isMGGA(xcnr) .or. xcFunctional%isLongRangeCorrected(xcnr)&
         & .or. xcFunctional%isGlobalHybrid(xcnr) .or. xcFunctional%isCAMY(xcnr)) then
       allocate(sigma(3, nn))
       sigma(1, :) = drho(:, 1) * drho(:, 1) * rec4pi**2
@@ -186,6 +197,13 @@ subroutine density_grid(pp, max_l, num_alpha, poly_order, alpha, num_mesh_points
       sigma(3, :) = drho(:, 2) * drho(:, 2) * rec4pi**2
     end if
 
+    if (xcFunctional%isMGGA(xcnr)) then
+      do ii = 1, num_mesh_points
+         tau(ii, 1) = tau_at_point(pp(1, :,:,:), max_l, num_alpha, poly_order, alpha, abcissa(ii))
+         tau(ii, 2) = tau_at_point(pp(2, :,:,:), max_l, num_alpha, poly_order, alpha, abcissa(ii))
+      end do
+   end if
+
     select case (xcnr)
     case(xcFunctional%HF_Exchange)
       return
@@ -217,6 +235,18 @@ subroutine density_grid(pp, max_l, num_alpha, poly_order, alpha, num_mesh_points
     case(xcFunctional%CAMY_PBEh)
       call getExcVxc_CAMY_PBEh(abcissa, dz, dzdr, rho, drho, sigma, omega, camAlpha, camBeta, exc,&
           & vxc)
+    case(xcFunctional%MGGA_TPSS)
+      call getExcVxc_MGGA_TPSS(abcissa, dz, dzdr, rho, drho, sigma, tau, exc, vxc, vtau)
+    case(xcFunctional%MGGA_SCAN)
+      call getExcVxc_MGGA_SCAN(abcissa, dz, dzdr, rho, drho, sigma, tau, exc, vxc, vtau)
+    case(xcFunctional%MGGA_r2SCAN)
+      call getExcVxc_MGGA_r2SCAN(abcissa, dz, dzdr, rho, drho, sigma, tau, exc, vxc, vtau)
+    case(xcFunctional%MGGA_r4SCAN)
+      call getExcVxc_MGGA_r4SCAN(abcissa, dz, dzdr, rho, drho, sigma, tau, exc, vxc, vtau)
+    case(xcFunctional%MGGA_TASK)
+      call getExcVxc_MGGA_TASK(abcissa, dz, dzdr, rho, drho, sigma, tau, exc, vxc, vtau)
+    case(xcFunctional%MGGA_TASK_CC)
+      call getExcVxc_MGGA_TASK_CC(abcissa, dz, dzdr, rho, drho, sigma, tau, exc, vxc, vtau)
     case default
       write(*, '(A,I2,A)') 'XCNR=', xcnr, ' not implemented!'
       stop
@@ -299,8 +329,8 @@ end subroutine dft_vxc_energy
 
 
   !> Calculates a single matrix element of the exchange correlation potential.
-  pure subroutine dft_exc_matrixelement(num_mesh_points, weight, abcissa, vxc, alpha1, poly1,&
-      & alpha2, poly2, ll, exc_matrixelement)
+  pure subroutine dft_exc_matrixelement(num_mesh_points, weight, abcissa, vxc, vtau, alpha1, poly1,&
+  & alpha2, poly2, ll, exc_matrixelement)
 
     !> number of numerical integration points
     integer, intent(in) :: num_mesh_points
@@ -314,6 +344,9 @@ pure subroutine dft_exc_matrixelement(num_mesh_points, weight, abcissa, vxc, alp
     !> xc potential on grid
     real(dp), intent(in) :: vxc(:,:)
 
+    !> orbital-dependent tau potential on grid
+    real(dp), intent(in) :: vtau(:,:)
+
     !> basis exponent of 1st basis
     real(dp), intent(in) :: alpha1
 
@@ -332,10 +365,10 @@ pure subroutine dft_exc_matrixelement(num_mesh_points, weight, abcissa, vxc, alp
     !> single matrix element of the exchange correlation potential
     real(dp), intent(out) :: exc_matrixelement(2)
 
-    !> stores product of two basis functions and r^2
+    ! stores product of two basis functions and r^2
     real(dp) :: basis
 
-    !> auxiliary variable
+    ! auxiliary variable
     integer :: ii
 
     exc_matrixelement(:) = 0.0_dp
@@ -345,11 +378,18 @@ pure subroutine dft_exc_matrixelement(num_mesh_points, weight, abcissa, vxc, alp
 
       exc_matrixelement(1) = exc_matrixelement(1) - weight(ii) * vxc(ii, 1) * basis
       exc_matrixelement(2) = exc_matrixelement(2) - weight(ii) * vxc(ii, 2) * basis
-    end do
 
-  end subroutine dft_exc_matrixelement
+      if (xcFunctional%isMGGA(xcnr)) then
+        ! «basis» for MGGA is a product of gradients
+        basis = basis_1st_times_basis_1st_times_r2(alpha1, poly1, alpha2, poly2, ll, abcissa(ii))
 
+        exc_matrixelement(1) = exc_matrixelement(1) - weight(ii) * vtau(ii, 1) * basis * 0.5_dp
+        exc_matrixelement(2) = exc_matrixelement(2) - weight(ii) * vtau(ii, 2) * basis * 0.5_dp
+      end if
+    end do
 
+  end subroutine dft_exc_matrixelement
+  
   !> Calculates Xalpha potential and energy density.
   !!
   !! alpha=2/3 recovers the Gaspar/Kohn/Sham functional commonly used as exchange part in most
diff --git a/slateratom/lib/globals.f90 b/slateratom/lib/globals.f90
index 6687874d..0b93e74c 100644
--- a/slateratom/lib/globals.f90
+++ b/slateratom/lib/globals.f90
@@ -81,7 +81,7 @@ module globals
   real(dp), allocatable :: cof(:,:,:,:)
 
   !> relative changes during scf
-  real(dp) :: change_max
+  real(dp) :: orb_grad_norm
 
   !> density matrix supervector
   real(dp), allocatable :: pp(:,:,:,:)
@@ -99,7 +99,7 @@ module globals
   real(dp), allocatable :: eigval_scaled(:,:,:)
 
   !> total energy
-  real(dp) :: total_ene
+  real(dp) :: total_ene, total_ene_old, total_ene_diff
 
   !> kinetic energy
   real(dp) :: kinetic_energy
@@ -149,6 +149,12 @@ module globals
   !> 2nd deriv. of density on grid
   real(dp), allocatable :: ddrho(:,:)
 
+  !> kinetic energy density on grid
+  real(dp), allocatable :: tau(:, :)
+
+  !> orbital-dependent tau potential on grid
+  real(dp), allocatable :: vtau(:,:)
+
   !> xc potential on grid
   real(dp), allocatable :: vxc(:,:)
 
@@ -167,8 +173,8 @@ module globals
   !> true, if zero-order regular approximation for relativistic effects is desired
   logical :: tZora
 
-  !> true, if SCF cycle reached convergency
-  logical :: tConverged
+  !> true, if SCF cycle reached convergency on a quantity
+  logical :: tOrbGradConverged, tEnergyConverged
 
   !> identifier of mixer
   integer :: mixnr
@@ -210,6 +216,8 @@ subroutine allocate_globals()
     allocate(rho(num_mesh_points, 2))
     allocate(drho(num_mesh_points, 2))
     allocate(ddrho(num_mesh_points, 2))
+    allocate(tau(num_mesh_points, 2))
+    allocate(vtau(num_mesh_points, 2))
     allocate(exc(num_mesh_points))
     allocate(vxc(num_mesh_points, 2))
 
@@ -245,6 +253,7 @@ subroutine allocate_globals()
     rho(:,:) = 0.0_dp
     drho(:,:) = 0.0_dp
     ddrho(:,:) = 0.0_dp
+    tau(:,:) = 0.0_dp
 
     eigval(:,:,:) = 0.0_dp
     eigval_scaled(:,:,:) = 0.0_dp
diff --git a/slateratom/lib/hamiltonian.f90 b/slateratom/lib/hamiltonian.f90
index dab8d521..d1175c84 100644
--- a/slateratom/lib/hamiltonian.f90
+++ b/slateratom/lib/hamiltonian.f90
@@ -18,8 +18,8 @@ module hamiltonian
 
   !> Main driver routine for Fock matrix build-up. Also calls mixer with potential matrix.
   subroutine build_hamiltonian(pMixer, iScf, tt, uu, nuc, vconf, jj, kk, kk_lr, pp, max_l,&
-      & num_alpha, poly_order, problemsize, xcnr, num_mesh_points, weight, abcissa, vxc, alpha,&
-      & pot_old, pot_new, tZora, ff, camAlpha, camBeta)
+      & num_alpha, poly_order, problemsize, xcnr, num_mesh_points, weight, abcissa, vxc, vtau,&
+      & alpha, pot_old, pot_new, tZora, ff, camAlpha, camBeta)
 
     !> mixer instances
     type(TMixer), intent(inout) :: pMixer
@@ -78,6 +78,9 @@ subroutine build_hamiltonian(pMixer, iScf, tt, uu, nuc, vconf, jj, kk, kk_lr, pp
     !> xc potential on grid
     real(dp), intent(in) :: vxc(:,:)
 
+    !> xc potential on grid
+    real(dp), intent(in) :: vtau(:,:)
+
     !> basis exponents
     real(dp), intent(in) :: alpha(0:,:)
 
@@ -138,34 +141,34 @@ subroutine build_hamiltonian(pMixer, iScf, tt, uu, nuc, vconf, jj, kk, kk_lr, pp
     end if
 
     ! pure DFT
-    if (xcFunctional%isLDA(xcnr) .or. xcFunctional%isGGA(xcnr)) then
+    if (xcFunctional%isLDA(xcnr) .or. xcFunctional%isGGA(xcnr) .or. xcFunctional%isMGGA(xcnr)) then
       call build_dft_exc_matrix(max_l, num_alpha, poly_order, alpha, num_mesh_points, abcissa,&
-          & weight, vxc, k_matrix)
+          & weight, vxc, vtau, k_matrix)
     end if
 
     ! HF - DFT hybrid
     if (xcFunctional%isLongRangeCorrected(xcnr)) then
       call build_hf_ex_matrix(kk_lr, pp, max_l, num_alpha, poly_order, k_matrix)
       call build_dft_exc_matrix(max_l, num_alpha, poly_order, alpha, num_mesh_points, abcissa,&
-          & weight, vxc, k_matrix2)
+          & weight, vxc, vtau, k_matrix2)
       k_matrix(:,:,:,:) = k_matrix + k_matrix2
     elseif (xcnr == xcFunctional%HYB_B3LYP) then
       call build_hf_ex_matrix(kk, pp, max_l, num_alpha, poly_order, k_matrix)
       call build_dft_exc_matrix(max_l, num_alpha, poly_order, alpha, num_mesh_points, abcissa,&
-          & weight, vxc, k_matrix2)
+          & weight, vxc, vtau, k_matrix2)
       ! B3LYP parameters a=0.20, b=0.72, c=0.81 (libXC defaults)
       ! --> 0.20 * HF exchange + full libXC DFT exchange
       k_matrix(:,:,:,:) = 0.20_dp * k_matrix + k_matrix2
     elseif (xcnr == xcFunctional%HYB_PBE0) then
       call build_hf_ex_matrix(kk, pp, max_l, num_alpha, poly_order, k_matrix)
       call build_dft_exc_matrix(max_l, num_alpha, poly_order, alpha, num_mesh_points, abcissa,&
-          & weight, vxc, k_matrix3)
+          & weight, vxc, vtau, k_matrix3)
       k_matrix(:,:,:,:) = camAlpha * k_matrix + k_matrix3
     elseif (xcFunctional%isCAMY(xcnr)) then
       call build_hf_ex_matrix(kk, pp, max_l, num_alpha, poly_order, k_matrix)
       call build_hf_ex_matrix(kk_lr, pp, max_l, num_alpha, poly_order, k_matrix2)
       call build_dft_exc_matrix(max_l, num_alpha, poly_order, alpha, num_mesh_points, abcissa,&
-          & weight, vxc, k_matrix3)
+          & weight, vxc, vtau, k_matrix3)
       if (xcnr == xcFunctional%CAMY_B3LYP) then
         ! CAMY-B3LYP parameters (libXC defaults)
         k_matrix(:,:,:,:) = camAlpha * k_matrix + camBeta * k_matrix2 + k_matrix3
@@ -175,14 +178,23 @@ subroutine build_hamiltonian(pMixer, iScf, tt, uu, nuc, vconf, jj, kk, kk_lr, pp
       end if
     end if
 
+
     ! build mixer input
-    pot_new(1, :,:,:) = - real(nuc, dp) * uu + j_matrix - k_matrix(1, :,:,:)
-    pot_new(2, :,:,:) = - real(nuc, dp) * uu + j_matrix - k_matrix(2, :,:,:)
+    if (iScf /= 0) then
+      pot_new(1, :,:,:) = - real(nuc, dp) * uu + j_matrix - k_matrix(1, :,:,:)
+      pot_new(2, :,:,:) = - real(nuc, dp) * uu + j_matrix - k_matrix(2, :,:,:)
+    else
+       pot_new(1, :,:,:) = -k_matrix(1, :,:,:)
+       pot_new(2, :,:,:) = -k_matrix(2, :,:,:)
+    end if
 
     ! mixer
     allocate(pot_diff, mold=pot_old)
     pot_diff(:,0:,:,:) = pot_old - pot_new
-    call TMixer_mix(pMixer, pot_new, pot_diff)
+    if (iScf /= 0) then
+      ! Do not call mixer on the 0th (guess) iteration
+      call TMixer_mix(pMixer, pot_new, pot_diff)
+    end if
 
     ! Not sure: before or after mixer (potential .ne. Matrix elements)?
     ! Should be irrelevant once self-consistency is reached.
@@ -352,7 +364,7 @@ end subroutine build_hf_ex_matrix
   !> Builds DFT exchange matrix to be added to the Fock matrix by calculating the single matrix
   !! elements and putting them together.
   subroutine build_dft_exc_matrix(max_l, num_alpha, poly_order, alpha, num_mesh_points, abcissa,&
-      & weight, vxc, k_matrix)
+      & weight, vxc, vtau, k_matrix)
 
     !> maximum angular momentum
     integer, intent(in) :: max_l
@@ -378,6 +390,9 @@ subroutine build_dft_exc_matrix(max_l, num_alpha, poly_order, alpha, num_mesh_po
     !> xc potential on grid
     real(dp), intent(in) :: vxc(:,:)
 
+    !> tau potential on grid
+    real(dp), intent(in) :: vtau(:,:)
+
     !> DFT exchange matrix
     real(dp), intent(out) :: k_matrix(:,0:,:,:)
 
@@ -405,7 +420,7 @@ subroutine build_dft_exc_matrix(max_l, num_alpha, poly_order, alpha, num_mesh_po
             do mm = start, poly_order(ii)
               tt = tt + 1
 
-              call dft_exc_matrixelement(num_mesh_points, weight, abcissa, vxc, alpha(ii, jj), kk,&
+              call dft_exc_matrixelement(num_mesh_points, weight, abcissa, vxc, vtau, alpha(ii, jj), kk,&
                   & alpha(ii, ll), mm, ii, exc_matrixelement)
 
               k_matrix(1, ii, ss, tt) = exc_matrixelement(1)
diff --git a/slateratom/lib/output.f90 b/slateratom/lib/output.f90
index c24d7ae5..8997dfe4 100644
--- a/slateratom/lib/output.f90
+++ b/slateratom/lib/output.f90
@@ -8,7 +8,9 @@ module output
       & density_at_point_1st
   use coulomb_potential, only : cou_pot
   use common_taggedout, only : TTaggedwriter, TTaggedwriter_init, writetag
+  use globals, only : xcnr
   use utilities, only : fak
+  use xcfunctionals, only : xcFunctional
 
   implicit none
   private
@@ -292,10 +294,10 @@ end subroutine write_potentials_file_standard
 
   !> Writes potentials and mesh info to file on standard (internal) integration mesh;
   !! in principle one could read in the points from another file to have other meshes!
-  subroutine write_densities_file_standard(num_mesh_points, abcissa, weight, rho, drho, ddrho)
+  subroutine write_densities_file_standard(num_mesh_points, abcissa, weight, rho, drho, ddrho, tau)
 
     real(dp), intent(in) :: abcissa(:), weight(:)
-    real(dp), intent(in) :: rho(:,:), drho(:,:), ddrho(:,:)
+    real(dp), intent(in) :: rho(:,:), drho(:,:), ddrho(:,:), tau(:,:)
     integer, intent(in) :: num_mesh_points
     real(dp) :: enumber, zeta, r_seitz
     integer :: ii
@@ -313,22 +315,29 @@ subroutine write_densities_file_standard(num_mesh_points, abcissa, weight, rho,
     ! note division of total density by 4*pi in calculation of r_seitz
     ! commonly r_seitz=((4*pi*rho)/3)**(-1/3) but our rho is from the
     ! radial part only and the angular part must be taken into account
-    ! explicitely; during integration this happens implicitely, see enumber
+    ! explicitly; during integration this happens implicitely, see enumber
 
     do ii = 1, num_mesh_points
 
-      if ((rho(ii, 1) + rho(ii, 2)) > 1.0d-12) then
-        zeta = (rho(ii, 1) - rho(ii, 2)) / (rho(ii, 1) + rho(ii, 2))
-        r_seitz = (4.0_dp * pi / 3.0_dp&
-            & * ((rho(ii, 1) + rho(ii, 2)) / 4.0_dp / pi))**(-1.0_dp / 3.0_dp)
-      else
-        zeta = 0.0_dp
-        r_seitz = 0.0_dp
-      end if
-
-      write(95, '(7ES21.12E3)') abcissa(ii), weight(ii), rho(ii, 1) + rho(ii, 2),&
+       if ((rho(ii, 1) + rho(ii, 2)) > 1.0d-12) then
+          zeta = (rho(ii, 1) - rho(ii, 2)) / (rho(ii, 1) + rho(ii, 2))
+          r_seitz = (4.0_dp * pi / 3.0_dp&
+          & * ((rho(ii, 1) + rho(ii, 2)) / 4.0_dp / pi))**(-1.0_dp / 3.0_dp)
+       else
+          zeta = 0.0_dp
+          r_seitz = 0.0_dp
+       end if
+
+       if (xcFunctional%isMGGA(xcnr)) then
+          write(95, '(8ES21.12E3)') abcissa(ii), weight(ii), rho(ii, 1) + rho(ii, 2),&
+          & drho(ii, 1) + drho(ii, 2), ddrho(ii, 1) + ddrho(ii, 2), zeta, r_seitz,&
+          & tau(ii, 1) + tau(ii, 2)
+       else
+          write(95, '(7ES21.12E3)') abcissa(ii), weight(ii), rho(ii, 1) + rho(ii, 2),&
           & drho(ii, 1) + drho(ii, 2), ddrho(ii, 1) + ddrho(ii, 2), zeta, r_seitz
-      enumber = enumber + weight(ii) * (rho(ii, 1) + rho(ii, 2)) * abcissa(ii)**2
+       end if
+
+       enumber = enumber + weight(ii) * (rho(ii, 1) + rho(ii, 2)) * abcissa(ii)**2
     end do
 
     close(95)
diff --git a/slateratom/lib/sap.f90 b/slateratom/lib/sap.f90
new file mode 100644
index 00000000..151f6b91
--- /dev/null
+++ b/slateratom/lib/sap.f90
@@ -0,0 +1,45265 @@
+!>  Module for atomic guess through superposition of atomic potentials
+!! (SAP) method
+!
+!  References:
+!  S. Lehtola, "Assessment of Initial Guesses for Self-Consistent Field
+!  Calculations. Superposition of Atomic Potentials: Simple yet
+!  Efficient", J. Chem. Theory Comput. 15, 1593 (2019).
+!  DOI: 10.1021/acs.jctc.8b01089
+!
+!  S. Lehtola, L. Visscher, E. Engel, Efficient implementation of the
+!  superposition of atomic potentials initial guess for electronic
+!  structure calculations in Gaussian basis sets, J. Chem. Phys., in
+!  press (2020).
+!
+!  S. Lehtola, "Fully numerical calculations on atoms with fractional
+!  occupations and range-separated exchange functionals", Phys. Rev. A
+!  101, 012516 (2020). DOI: 10.1103/PhysRevA.101.012516
+!
+!  S. Lehtola, "Fully numerical Hartree-Fock and density functional
+!  calculations. I. Atoms", Int. J. Quantum Chem. e25945 (2019).
+!  DOI: 10.1002/qua.25945
+
+module sap
+
+ use common_accuracy, only: dp
+ use common_message, only: error
+
+ implicit none
+ private
+
+ public :: sap_start_pot
+
+contains
+
+  !> Compute SAP potential for an atom on a grid.
+  subroutine sap_start_pot(abcissa, num_mesh_points, nuc, v)
+
+    !> numerical integration abcissas
+    real(dp), intent(in) :: abcissa(:)
+
+    !> number of numerical integration points
+    integer, intent(in) :: num_mesh_points
+
+    !> nuclear charge, i.e. atomic number
+    integer, intent(in) :: nuc
+
+    !> xc potential on grid for two spin channels v(:, 1) and v(:, 2)
+    real(dp), intent(out) :: v(:, :)
+
+    ! auxiliary variables
+    integer :: ii, jj
+
+    ! Storage variables for effective charge, vxc and abscissa
+    real(dp), dimension(1501) :: r_tab, v_tab
+    real(dp) :: Zeff
+
+    ! Get tabulated references
+    call get_sap_data(r_tab, 0)
+    call get_sap_data(v_tab, nuc)
+
+    jj = 1
+    do ii = 1, num_mesh_points
+      ! Return 0.0 beyond range of tabulation
+      if (abcissa(ii) > r_tab(1501)) then
+
+        v(ii, 1) = 0.0_dp
+        v(ii, 2) = 0.0_dp
+
+      else
+
+        ! Assumes that radial points are ordered
+        ! in ascending order in both arrays
+        do while (abcissa(ii) > r_tab(jj))
+           jj = jj + 1
+        end do
+
+        ! Compute linear interpolation for v_tab
+        Zeff = (v_tab(jj - 1)*(r_tab(jj) - abcissa(ii)) + v_tab(jj)*(abcissa(ii) - r_tab(jj - 1)))&
+        & /(r_tab(jj) - r_tab(jj - 1))
+
+        ! Compute resulting potential
+        v(ii, 1) = -Zeff/abcissa(ii)
+        v(ii, 2) = v(ii, 1)
+
+      end if
+
+    end do
+
+  end subroutine sap_start_pot
+
+  !> Get tabulated SAP data array
+  subroutine get_sap_data(out, N)
+
+    !> Output array (must be exactly 1501 elements long)
+    real(dp), intent(out) :: out(1501)
+
+    !> Atomic number; if N == 0, returns radial mesh
+    ! for tabulation
+    integer, intent(in) ::  N
+
+    ! N == 0 corresponds to tabulated radial distance,
+    !  otherwise it's Z (atomic number)
+    !
+    ! The array is adapted from PySCF implementation of SAP:
+    ! https://github.com/pyscf/pyscf/blob/master/pyscf/dft/sap_data.py
+
+    ! Copyright (c) 2020, Susi Lehtola
+    ! All rights reserved.
+    ! Redistribution and use in source and binary forms, with or without
+    ! modification, are permitted provided that the following conditions are met:
+    ! * Redistributions of source code must retain the above copyright
+    ! notice, this list of conditions and the following disclaimer.
+    ! * Redistributions in binary form must reproduce the above copyright
+    ! notice, this list of conditions and the following disclaimer in the
+    ! documentation and/or other materials provided with the distribution.
+    ! * Neither the name of the <organization> nor the
+    ! names of its contributors may be used to endorse or promote products
+    ! derived from this software without specific prior written permission.
+    ! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+    ! "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+    ! LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+    ! FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+    ! COPYRIGHT HOLDER BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+    ! SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+    ! LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF
+    ! USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
+    ! ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+    ! OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT
+    ! OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+    ! SUCH DAMAGE.
+    ! Routines for the implementation of the superposition of atomic
+    ! potentials guess for electronic structure calculations, see
+    ! S. Lehtola, "Assessment of Initial Guesses for Self-Consistent Field
+    ! Calculations. Superposition of Atomic Potentials: Simple yet
+    ! Efficient", J. Chem. Theory Comput. 15, 1593 (2019).
+    ! DOI: 10.1021/acs.jctc.8b01089
+    ! This function evaluates the effective charge of a neutral atom,
+    ! given by exchange-only LDA on top of spherically symmetric
+    ! unrestricted Hartree-Fock calculations as described in
+    ! S. Lehtola, L. Visscher, E. Engel, Efficient implementation of the
+    ! superposition of atomic potentials initial guess for electronic
+    ! structure calculations in Gaussian basis sets, J. Chem. Phys., in
+    ! press (2020).
+    ! The potentials have been calculated for the ground-states of
+    ! spherically symmetric atoms at the non-relativistic level of theory
+    ! as described in
+    ! S. Lehtola, "Fully numerical calculations on atoms with fractional
+    ! occupations and range-separated exchange functionals", Phys. Rev. A
+    ! 101, 012516 (2020). DOI: 10.1103/PhysRevA.101.012516
+    ! using accurate finite-element calculations as described in
+    ! S. Lehtola, "Fully numerical Hartree-Fock and density functional
+    ! calculations. I. Atoms", Int. J. Quantum Chem. e25945 (2019).
+    ! DOI: 10.1002/qua.25945
+
+    select case (N)
+    case (0)
+      out = [&
+      & 0.0000000000000000e+00_dp, 1.9095291060172699e-10_dp, 6.0955947806667901e-09_dp, 4.6100466017523503e-08_dp, &
+      & 1.9316341043525100e-07_dp, 5.8518541705930603e-07_dp, 1.4431474063426200e-06_dp, 3.0863676484665900e-06_dp, &
+      & 5.9443182316111196e-06_dp, 1.0564538040043300e-05_dp, 1.7616292318383701e-05_dp, 2.7889751976002900e-05_dp, &
+      & 4.2290595918512802e-05_dp, 6.1830073277808906e-05_dp, 8.7610695745079695e-05_dp, 1.2080785959011100e-04_dp, &
+      & 0.0001626478187771_dp, 0.0002143825414644_dp, 0.0002772620790033_dp, 0.0003525051566010_dp, &
+      & 0.0004412687558318_dp, 0.0005446174993975_dp, 0.0006634936667930_dp, 0.0007986886652215_dp, &
+      & 0.0009508167532628_dp, 0.0011202917660744_dp, 0.0013073075215358_dp, 0.0015118224985400_dp, &
+      & 0.0017335492739170_dp, 0.0019719490860152_dp, 0.0022262317639251_dp, 0.0024953611251482_dp, &
+      & 0.0027780658048384_dp, 0.0030728553403232_dp, 0.0033780411991833_dp, 0.0036917623113763_dp, &
+      & 0.0040120145491752_dp, 0.0043366834961819_dp, 0.0046635797611534_dp, 0.0049904760261249_dp, &
+      & 0.0053151449731316_dp, 0.0056353972109304_dp, 0.0059491183231235_dp, 0.0062543041819836_dp, &
+      & 0.0065490937174684_dp, 0.0068317983971586_dp, 0.0071009277583817_dp, 0.0073552104362916_dp, &
+      & 0.0075936102483897_dp, 0.0078153370237667_dp, 0.0080198520007710_dp, 0.0082068677562324_dp, &
+      & 0.0083763427690440_dp, 0.0085284708570853_dp, 0.0086636658555138_dp, 0.0087825420229093_dp, &
+      & 0.0088858907664750_dp, 0.0089746543657058_dp, 0.0090498974433035_dp, 0.0091127769808424_dp, &
+      & 0.0091645117035297_dp, 0.0092063516627167_dp, 0.0092395488265617_dp, 0.0092653294490290_dp, &
+      & 0.0092848689263883_dp, 0.0092992697703308_dp, 0.0093095432299884_dp, 0.0093165949842667_dp, &
+      & 0.0093212152040752_dp, 0.0093240731546583_dp, 0.0093257163749004_dp, 0.0093265743368897_dp, &
+      & 0.0093269663588963_dp, 0.0093271134218408_dp, 0.0093271534267120_dp, 0.0093271593313539_dp, &
+      & 0.0093271601059184_dp, 0.0093271781523447_dp, 0.0093273004197029_dp, 0.0093277498899082_dp, &
+      & 0.0093289480313741_dp, 0.0093315702306849_dp, 0.0093365924240223_dp, 0.0093453272119767_dp, &
+      & 0.0093594480440749_dp, 0.0093810004035493_dp, 0.0094123992990364_dp, 0.0094564127676191_dp, &
+      & 0.0095161315019038_dp, 0.0095949251213289_dp, 0.0096963860033275_dp, 0.0098242619623011_dp, &
+      & 0.0099823794032462_dp, 0.0101745588727976_dp, 0.0104045251751296_dp, 0.0106758144066244_dp, &
+      & 0.0109916803861568_dp, 0.0113550030136215_dp, 0.0117682010761543_dp, 0.0122331519394712_dp, &
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+      & 15.4802653564145007_dp, 15.6640543403033004_dp, 15.8529834232229003_dp, 16.0458456796623992_dp, &
+      & 16.2413677660837017_dp, 16.4382311876085012_dp, 16.6350946091333007_dp, 16.8306166955545997_dp, &
+      & 17.0234789519941998_dp, 17.2124080349137003_dp, 17.3961970188024999_dp, 17.5737251303283983_dp, &
+      & 17.7439755017412004_dp, 17.9060505468255009_dp, 18.0591846244271999_dp, 18.2027537248713003_dp, &
+      & 18.3362819915469011_dp, 18.4594449714899014_dp, 18.5720695727601992_dp, 18.6741307905227991_dp, &
+      & 18.7657453457531993_dp, 18.8471624582001986_dp, 18.9187520465770014_dp, 18.9809907120154016_dp, &
+      & 19.0344459139367999_dp, 19.0797587892712990_dp, 19.1176260952953001_dp, 19.1487817725274994_dp, &
+      & 19.1739786267121985_dp, 19.1939706179331004_dp, 19.2094962206756001_dp, 19.2212632819116003_dp, &
+      & 19.2299357560729014_dp, 19.2361226374655985_dp, 19.2403693439095989_dp, 19.2431517320159990_dp, &
+      & 19.2448728466038013_dp, 19.2458624264608993_dp, 19.2463791082062983_dp, 19.2466151916426007_dp, &
+      & 19.2467037558677987_dp, 19.2467278475955013_dp, 19.2467314034880985_dp, 19.2467316883823010_dp, &
+      & 19.2467369419827001_dp, 19.2467725359462989_dp, 19.2469033838385997_dp, 19.2472521817871005_dp, &
+      & 19.2480155455183990_dp, 19.2494775855052005_dp, 19.2520204205588996_dp, 19.2561312183292017_dp, &
+      & 19.2624054513670018_dp, 19.2715461669184016_dp, 19.2843591843989017_dp, 19.3017442533549008_dp, &
+      & 19.3246823233492009_dp, 19.3542191923235016_dp, 19.3914459083817015_dp, 19.4374763985939012_dp, &
+      & 19.4934228845683997_dp, 19.5603697157676990_dp, 19.6393463058285000_dp, 19.7312998929362990_dp, &
+      & 19.8370688615421997_dp, 19.9573573588731996_dp, 20.0927119158095984_dp, 20.2435007383488994_dp, &
+      & 20.4098962741536987_dp, 20.5918615802039007_dp, 20.7891409243967011_dp, 21.0012549485439983_dp, &
+      & 21.2275006053997011_dp, 21.4669559611852989_dp, 21.7184898308079006_dp, 21.9807760889130002_dp, &
+      & 22.2523123794240014_dp, 22.5314428325126990_dp, 22.8163842941012014_dp, 23.1052554817885998_dp, &
+      & 23.3961084049999997_dp, 23.6869613282114990_dp, 23.9758325158988015_dp, 24.2607739774873998_dp, &
+      & 24.5399044305761009_dp, 24.8114407210869992_dp, 25.0737269791920987_dp, 25.3252608488147004_dp, &
+      & 25.5647162046004013_dp, 25.7909618614561005_dp, 26.0030758856033017_dp, 26.2003552297960987_dp, &
+      & 26.3823205358463007_dp, 26.5487160716511994_dp, 26.6995048941905004_dp, 26.8348594511268992_dp, &
+      & 26.9551479484577996_dp, 27.0609169170637003_dp, 27.1528705041715988_dp, 27.2318470942323003_dp, &
+      & 27.2987939254316991_dp, 27.3547404114062012_dp, 27.4007709016183014_dp, 27.4379976176765012_dp, &
+      & 27.4675344866507984_dp, 27.4904725566452015_dp, 27.5078576256011011_dp, 27.5206706430817007_dp, &
+      & 27.5298113586330011_dp, 27.5360855916709006_dp, 27.5401963894410997_dp, 27.5427392244948983_dp, &
+      & 27.5442012644816003_dp, 27.5449646282128988_dp, 27.5453134261613997_dp, 27.5454442740537004_dp, &
+      & 27.5454798680172992_dp, 27.5454851216176984_dp, 27.5454855464948984_dp, 27.5454934309369008_dp, &
+      & 27.5455468492639000_dp, 27.5457432217608016_dp, 27.5462666870060993_dp, 27.5474123198420990_dp, &
+      & 27.5496065045374010_dp, 27.5534227132651992_dp, 27.5595920722670016_dp, 27.5690082484533008_dp, &
+      & 27.5827263535319993_dp, 27.6019557365255999_dp, 27.6280467139111003_dp, 27.6624714646559013_dp, &
+      & 27.7067994901817016_dp, 27.7626682019636988_dp, 27.8317493475265998_dp, 27.9157121148907983_dp, &
+      & 28.0161838624159998_dp, 28.1347095024625986_dp, 28.2727106209985983_dp, 28.4314454396510001_dp, &
+      & 28.6119707209453011_dp, 28.8151066816365002_dp, 29.0414059139734988_dp, 29.2911272221104007_dp, &
+      & 29.5642151630975007_dp, 29.8602859420515010_dp, 30.1786201529304989_dp, 30.5181626840265992_dp, &
+      & 30.8775299254490001_dp, 31.2550242293620002_dp, 31.6486553875750012_dp, 32.0561687102433979_dp, &
+      & 32.4750791188008989_dp, 32.9027105103892978_dp, 33.3362395141777981_dp, 33.7727426457581004_dp, &
+      & 34.2092457773385021_dp, 34.6427747811270024_dp, 35.0704061727154013_dp, 35.4893165812729023_dp, &
+      & 35.8968299039413026_dp, 36.2904610621543000_dp, 36.6679553660672966_dp, 37.0273226074896016_dp, &
+      & 37.3668651385858013_dp, 37.6851993494648028_dp, 37.9812701284187995_dp, 38.2543580694059031_dp, &
+      & 38.5040793775428014_dp, 38.7303786098798000_dp, 38.9335145705709991_dp, 39.1140398518653001_dp, &
+      & 39.2727746705176983_dp, 39.4107757890537016_dp, 39.5293014291003004_dp, 39.6297731766254984_dp, &
+      & 39.7137359439896969_dp, 39.7828170895526014_dp, 39.8386858013345986_dp, 39.8830138268603989_dp, &
+      & 39.9174385776052034_dp, 39.9435295549906968_dp, 39.9627589379841979_dp, 39.9764770430629000_dp, &
+      & 39.9858932192492986_dp, 39.9920625782511010_dp, 39.9958787869788992_dp, 39.9980729716741976_dp, &
+      & 39.9992186045100979_dp, 39.9997420697554986_dp, 39.9999384422524003_dp, 39.9999918605792999_dp, &
+      & 39.9999997450213982_dp &
+      &]
+    case (1)
+      out = [&
+         & 1.0000000000000000_dp, 0.9999999998899280_dp, 0.9999999964862890_dp, 0.9999999734261000_dp, &
+         & 0.9999998886539360_dp, 0.9999996626788420_dp, 0.9999991681194620_dp, 0.9999982209085270_dp, &
+         & 0.9999965734799310_dp, 0.9999939102043111_dp, 0.9999898452737680_dp, 0.9999839231652150_dp, &
+         & 0.9999756217366330_dp, 0.9999643579334619_dp, 0.9999494960057370_dp, 0.9999303580623780_dp, &
+         & 0.9999062367195470_dp, 0.9998764095369900_dp, 0.9998401548815939_dp, 0.9997967688124900_dp, &
+         & 0.9997455825480560_dp, 0.9996859800531100_dp, 0.9996174152748510_dp, 0.9995394285589830_dp, &
+         & 0.9994516617928320_dp, 0.9993538718496540_dp, 0.9992459419469930_dp, 0.9991278905809630_dp, &
+         & 0.9989998777563140_dp, 0.9988622082977900_dp, 0.9987153320998460_dp, 0.9985598412475860_dp, &
+         & 0.9983964640198950_dp, 0.9982260558642170_dp, 0.9980495875093660_dp, 0.9978681304560630_dp, &
+         & 0.9976828401528390_dp, 0.9974949372254970_dp, 0.9973056871800290_dp, 0.9971163790400940_dp, &
+         & 0.9969283034097880_dp, 0.9967427304693830_dp, 0.9965608884155290_dp, 0.9963839428476799_dp, &
+         & 0.9962129775794560_dp, 0.9960489773177270_dp, 0.9958928126043231_dp, 0.9957452273566580_dp, &
+         & 0.9956068292758320_dp, 0.9954780833157660_dp, 0.9953593083267840_dp, 0.9952506769039730_dp, &
+         & 0.9951522183871140_dp, 0.9950638248771730_dp, 0.9949852600568050_dp, 0.9949161705310470_dp, &
+         & 0.9948560993414630_dp, 0.9948045012541560_dp, 0.9947607593806400_dp, 0.9947242026617560_dp, &
+         & 0.9946941237291510_dp, 0.9946697966567910_dp, 0.9946504941263890_dp, 0.9946355035549670_dp, &
+         & 0.9946241417694580_dp, 0.9946157678608410_dp, 0.9946097939076950_dp, 0.9946056933243210_dp, &
+         & 0.9946030066600940_dp, 0.9946013447522770_dp, 0.9946003892122800_dp, 0.9945998903029450_dp, &
+         & 0.9945996623399920_dp, 0.9945995768220610_dp, 0.9945995535590000_dp, 0.9945995501254170_dp, &
+         & 0.9945995496750040_dp, 0.9945995391809040_dp, 0.9945994680817331_dp, 0.9945992067121590_dp, &
+         & 0.9945985099853180_dp, 0.9945969851572130_dp, 0.9945940647049670_dp, 0.9945889853129271_dp, &
+         & 0.9945807737822699_dp, 0.9945682404770860_dp, 0.9945499806988970_dp, 0.9945243841488340_dp, &
+         & 0.9944896523991290_dp, 0.9944438240603320_dp, 0.9943848071045740_dp, 0.9943104175948980_dp, &
+         & 0.9942184238818800_dp, 0.9941065951667269_dp, 0.9939727531985491_dp, 0.9938148257758100_dp, &
+         & 0.9936309006597760_dp, 0.9934192784819940_dp, 0.9931785232383380_dp, 0.9929075090078930_dp, &
+         & 0.9926054616142180_dp, 0.9922719940570910_dp, 0.9919071346818720_dp, 0.9915113472180890_dp, &
+         & 0.9910855420053299_dp, 0.9906310779292860_dp, 0.9901497548098500_dp, 0.9896437962121289_dp, &
+         & 0.9891158228853000_dp, 0.9885688172682811_dp, 0.9880060797295240_dp, 0.9874311774251200_dp, &
+         & 0.9868478868585610_dp, 0.9862601314010750_dp, 0.9856719151774980_dp, 0.9850872548339500_dp, &
+         & 0.9845101107758140_dp, 0.9839443194941240_dp, 0.9833935285836820_dp, 0.9828611359962410_dp, &
+         & 0.9823502349680659_dp, 0.9818635659155930_dp, 0.9814034764097900_dp, 0.9809718901245090_dp, &
+         & 0.9805702854131479_dp, 0.9801996839085220_dp, 0.9798606492710100_dp, 0.9795532959379299_dp, &
+         & 0.9792773074608540_dp, 0.9790319637652020_dp, 0.9788161764351980_dp, 0.9786285309238220_dp, &
+         & 0.9784673344172160_dp, 0.9783306679508340_dp, 0.9782164412834530_dp, 0.9781224489872580_dp, &
+         & 0.9780464262080450_dp, 0.9779861025886331_dp, 0.9779392529290530_dp, 0.9779037432758910_dp, &
+         & 0.9778775712865750_dp, 0.9778588998974570_dp, 0.9778460835319071_dp, 0.9778376863103870_dp, &
+         & 0.9778324919622330_dp, 0.9778295053822980_dp, 0.9778279460181660_dp, 0.9778272335089220_dp, &
+         & 0.9778269662184020_dp, 0.9778268935085500_dp, 0.9778268827767160_dp, 0.9778268818292990_dp, &
+         & 0.9778268632651300_dp, 0.9778267374899730_dp, 0.9778262751245040_dp, 0.9778250426072650_dp, &
+         & 0.9778223451686150_dp, 0.9778171788492130_dp, 0.9778081933192559_dp, 0.9777936669379050_dp, &
+         & 0.9777714951324670_dp, 0.9777391927847680_dp, 0.9776939108997390_dp, 0.9776324674111310_dp, &
+         & 0.9775513915643320_dp, 0.9774469809189550_dp, 0.9773153696457501_dp, 0.9771526064637810_dp, &
+         & 0.9769547402832330_dp, 0.9767179113932710_dp, 0.9764384458676130_dp, 0.9761129507551870_dp, &
+         & 0.9757384075801360_dp, 0.9753122616932650_dp, 0.9748325050935220_dp, 0.9742977504699880_dp, &
+         & 0.9737072943984550_dp, 0.9730611678577830_dp, 0.9723601725059410_dp, 0.9716059014692680_dp, &
+         & 0.9708007437466940_dp, 0.9699478717078250_dp, 0.9690512115639460_dp, 0.9681153971064280_dp, &
+         & 0.9671457074290120_dp, 0.9661479897684579_dp, 0.9651285690004781_dp, 0.9640941457020640_dp, &
+         & 0.9630516850243260_dp, 0.9620082988992110_dp, 0.9609711243175409_dp, 0.9599472005552609_dp, &
+         & 0.9589433482826580_dp, 0.9579660534639040_dp, 0.9570213588410220_dp, 0.9561147656002950_dp, &
+         & 0.9552511475462990_dp, 0.9544346797681310_dp, 0.9536687833852880_dp, 0.9529560875199941_dp, &
+         & 0.9522984091727220_dp, 0.9516967511928250_dp, 0.9511513180511409_dp, 0.9506615486504550_dp, &
+         & 0.9502261649658880_dp, 0.9498432349029240_dp, 0.9495102474064820_dp, 0.9492241975592610_dp, &
+         & 0.9489816791788740_dp, 0.9487789822662390_dp, 0.9486121925757550_dp, 0.9484772905720690_dp, &
+         & 0.9483702471078760_dp, 0.9482871132992610_dp, 0.9482241022846970_dp, 0.9481776608243200_dp, &
+         & 0.9481445290193620_dp, 0.9481217867981290_dp, 0.9481068862143240_dp, 0.9480976690246650_dp, &
+         & 0.9480923694442330_dp, 0.9480896024081890_dp, 0.9480883380860440_dp, 0.9480878637886030_dp, &
+         & 0.9480877347675800_dp, 0.9480877157243250_dp, 0.9480877141968200_dp, 0.9480876860066030_dp, &
+         & 0.9480874950134670_dp, 0.9480867928984590_dp, 0.9480849212866160_dp, 0.9480808251525130_dp, &
+         & 0.9480729799626280_dp, 0.9480593352242320_dp, 0.9480372766310530_dp, 0.9480036084513380_dp, &
+         & 0.9479545572101500_dp, 0.9478857970927880_dp, 0.9477924968589070_dp, 0.9476693874265120_dp, &
+         & 0.9475108486802730_dp, 0.9473110134970650_dp, 0.9470638864789220_dp, 0.9467634744527470_dp, &
+         & 0.9464039254473280_dp, 0.9459796725983010_dp, 0.9454855792647180_dp, 0.9449170815675720_dp, &
+         & 0.9442703245799160_dp, 0.9435422885067800_dp, 0.9427309013869080_dp, 0.9418351351225840_dp, &
+         & 0.9408550819936090_dp, 0.9397920092317560_dp, 0.9386483897172890_dp, 0.9374279074032690_dp, &
+         & 0.9361354366683570_dp, 0.9347769954347630_dp, 0.9333596725518750_dp, 0.9318915306218030_dp, &
+         & 0.9303814861116010_dp, 0.9288391692365630_dp, 0.9272747666868760_dp, 0.9256988507830030_dp, &
+         & 0.9241221990621110_dp, 0.9225556086004720_dp, 0.9210097095514390_dp, 0.9194947824173270_dp, &
+         & 0.9180205834744920_dp, 0.9165961825383830_dp, 0.9152298168991760_dp, 0.9139287647935800_dp, &
+         & 0.9126992412226310_dp, 0.9115463182992750_dp, 0.9104738716348850_dp, 0.9094845535719840_dp, &
+         & 0.9085797933620110_dp, 0.9077598236912180_dp, 0.9070237322920400_dp, 0.9063695367572890_dp, &
+         & 0.9057942801138510_dp, 0.9052941442234430_dp, 0.9048645776704980_dp, 0.9045004344803210_dp, &
+         & 0.9041961197909640_dp, 0.9039457384849880_dp, 0.9037432427750880_dp, 0.9035825748310889_dp, &
+         & 0.9034578007327080_dp, 0.9033632323280110_dp, 0.9032935339639390_dp, 0.9032438115222970_dp, &
+         & 0.9032096817295860_dp, 0.9031873202971430_dp, 0.9031734880729940_dp, 0.9031655350310840_dp, &
+         & 0.9031613825692550_dp, 0.9031594852164150_dp, 0.9031587734443580_dp, 0.9031585798242030_dp, &
+         & 0.9031585512462410_dp, 0.9031585490420340_dp, 0.9031585094615310_dp, 0.9031582412974420_dp, &
+         & 0.9031572554924560_dp, 0.9031546276566100_dp, 0.9031488764905710_dp, 0.9031378615088330_dp, &
+         & 0.9031187038257960_dp, 0.9030877331029920_dp, 0.9030404630001410_dp, 0.9029715966474100_dp, &
+         & 0.9028750627845530_dp, 0.9027440823192310_dp, 0.9025712641671180_dp, 0.9023487283756880_dp, &
+         & 0.9020682537259940_dp, 0.9017214462746720_dp, 0.9012999246613820_dp, 0.9007955174812260_dp, &
+         & 0.9002004676197640_dp, 0.8995076381787110_dp, 0.8987107144878840_dp, 0.8978043967051800_dp, &
+         & 0.8967845776499300_dp, 0.8956485007928620_dp, 0.8943948937334690_dp, 0.8930240730268890_dp, &
+         & 0.8915380168704080_dp, 0.8899404029151480_dp, 0.8882366093195730_dp, 0.8864336780923590_dp, &
+         & 0.8845402407624030_dp, 0.8825664074375600_dp, 0.8805236213401459_dp, 0.8784244819011900_dp, &
+         & 0.8762825404191950_dp, 0.8741120731051000_dp, 0.8719278370081680_dp, 0.8697448148181940_dp, &
+         & 0.8675779548464360_dp, 0.8654419125892970_dp, 0.8633508001743280_dp, 0.8613179496869530_dp, &
+         & 0.8593556958974800_dp, 0.8574751832774140_dp, 0.8556862014428810_dp, 0.8539970523241111_dp, &
+         & 0.8524144514662270_dp, 0.8509434649484090_dp, 0.8495874824927010_dp, 0.8483482264424240_dp, &
+         & 0.8472257954413400_dp, 0.8462187408522340_dp, 0.8453241732283380_dp, 0.8445378955018050_dp, &
+         & 0.8438545589881460_dp, 0.8432678378315740_dp, 0.8427706171412990_dp, 0.8423551898007380_dp, &
+         & 0.8420134567781270_dp, 0.8417371257348431_dp, 0.8415179028222340_dp, 0.8413476727813840_dp, &
+         & 0.8412186628123580_dp, 0.8411235861551600_dp, 0.8410557619146301_dp, 0.8410092083520950_dp, &
+         & 0.8409787076397790_dp, 0.8409598409081840_dp, 0.8409489932875650_dp, 0.8409433295260750_dp, &
+         & 0.8409407416322460_dp, 0.8409397708118860_dp, 0.8409395067240730_dp, 0.8409394677452240_dp, &
+         & 0.8409394647938619_dp, 0.8409394125107840_dp, 0.8409390582847930_dp, 0.8409377561059880_dp, &
+         & 0.8409342849247360_dp, 0.8409266880724380_dp, 0.8409121382064920_dp, 0.8408868327849620_dp, &
+         & 0.8408459242185270_dp, 0.8407834878709460_dp, 0.8406925300088161_dp, 0.8405650366632720_dp, &
+         & 0.8403920631885140_dp, 0.8401638631142860_dp, 0.8398700537221599_dp, 0.8394998146596649_dp, &
+         & 0.8390421148726200_dp, 0.8384859622136950_dp, 0.8378206693015300_dp, 0.8370361285835040_dp, &
+         & 0.8361230891167550_dp, 0.8350734273418740_dp, 0.8338804040930750_dp, 0.8325389002738700_dp, &
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+         & 0.1068302697092520_dp, 0.1047186067145680_dp, 0.1025835937078840_dp, 0.1004410570996510_dp, &
+         & 0.0983066213726415_dp, 0.0961954033961336_dp, 0.0941217380647992_dp, 0.0920989422804595_dp, &
+         & 0.0901391219034560_dp, 0.0882530238801998_dp, 0.0864499334776507_dp, 0.0847376145714035_dp, &
+         & 0.0831222893504975_dp, 0.0816086526818843_dp, 0.0801999157363000_dp, 0.0788978732876129_dp, &
+         & 0.0777029892974845_dp, 0.0766144959004859_dp, 0.0756305016135095_dp, 0.0747481054075990_dp, &
+         & 0.0739635141074827_dp, 0.0732721613451268_dp, 0.0726688269272155_dp, 0.0721477559412774_dp, &
+         & 0.0717027772002038_dp, 0.0713274207086705_dp, 0.0710150337437623_dp, 0.0707588949073049_dp, &
+         & 0.0705523251722523_dp, 0.0703887945610832_dp, 0.0702620227151235_dp, 0.0701660712933333_dp, &
+         & 0.0700954259246854_dp, 0.0700450653668319_dp, 0.0700105156184970_dp, 0.0699878870013046_dp, &
+         & 0.0699738926593666_dp, 0.0699658474975088_dp, 0.0699616472546036_dp, 0.0699597281418606_dp, &
+         & 0.0699590082185079_dp, 0.0699588123820979_dp, 0.0699587834770610_dp, 0.0699587812396921_dp, &
+         & 0.0699587409608554_dp, 0.0699584680659673_dp, 0.0699574648778549_dp, 0.0699547907648194_dp, &
+         & 0.0699489386259623_dp, 0.0699377314329879_dp, 0.0699182431354692_dp, 0.0698867478342260_dp, &
+         & 0.0698387006528749_dp, 0.0697687531595326_dp, 0.0696708054684688_dp, 0.0695380962430636_dp, &
+         & 0.0693633306920742_dp, 0.0691388452839932_dp, 0.0688568063090371_dp, 0.0685094376391948_dp, &
+         & 0.0680892711560683_dp, 0.0675894114536923_dp, 0.0670038047302256_dp, 0.0663275004291554_dp, &
+         & 0.0655568933512263_dp, 0.0646899337892790_dp, 0.0637262938573236_dp, 0.0626674796512425_dp, &
+         & 0.0615168811754313_dp, 0.0602797549979114_dp, 0.0589631381736434_dp, 0.0575756958480859_dp, &
+         & 0.0561275088165781_dp, 0.0546298108460520_dp, 0.0530946884556279_dp, 0.0515347578453836_dp, &
+         & 0.0499628345854054_dp, 0.0483916114639135_dp, 0.0468333585928238_dp, 0.0452996576394643_dp, &
+         & 0.0438011791393990_dp, 0.0423475085469120_dp, 0.0409470233116082_dp, 0.0396068201238500_dp, &
+         & 0.0383326887859757_dp, 0.0371291271026177_dp, 0.0359993898209212_dp, 0.0349455639897298_dp, &
+         & 0.0339686630800060_dp, 0.0330687327049314_dp, 0.0322449616601735_dp, 0.0314957931300178_dp, &
+         & 0.0308190321401968_dp, 0.0302119465699037_dp, 0.0296713601749559_dp, 0.0291937370585723_dp, &
+         & 0.0287752578167078_dp, 0.0284118881627142_dp, 0.0280994411988875_dp, 0.0278336346605447_dp, &
+         & 0.0276101444315547_dp, 0.0274246554461812_dp, 0.0272729107839804_dp, 0.0271507593703910_dp, &
+         & 0.0270542022567903_dp, 0.0269794370129786_dp, 0.0269228993643047_dp, 0.0268813008832087_dp, &
+         & 0.0268516613324190_dp, 0.0268313341761958_dp, 0.0268180238366545_dp, 0.0268097934709314_dp, &
+         & 0.0268050623653983_dp, 0.0268025924578646_dp, 0.0268014639723172_dp, 0.0268010406441891_dp, &
+         & 0.0268009254892176_dp, 0.0268009084926047_dp, 0.0268009071663312_dp, 0.0268008831519467_dp, &
+         & 0.0268007204512672_dp, 0.0268001223509698_dp, 0.0267985280705972_dp, 0.0267950392067673_dp, &
+         & 0.0267883583040308_dp, 0.0267767423138647_dp, 0.0267579735737201_dp, 0.0267293507718824_dp, &
+         & 0.0266877021189480_dp, 0.0266294225696652_dp, 0.0265505363731351_dp, 0.0264467854255614_dp, &
+         & 0.0263137428274729_dp, 0.0261469497069576_dp, 0.0259420718031638_dp, 0.0256950705983836_dp, &
+         & 0.0254023820781873_dp, 0.0250610946631477_dp, 0.0246691166929532_dp, 0.0242253232552511_dp, &
+         & 0.0237296723098568_dp, 0.0231832810768946_dp, 0.0225884555603284_dp, 0.0219486687854618_dp, &
+         & 0.0212684866488707_dp, 0.0205534439226829_dp, 0.0198098765656630_dp, 0.0190447196925377_dp, &
+         & 0.0182652829923294_dp, 0.0174790168002993_dp, 0.0166932822733948_dp, 0.0159151381971641_dp, &
+         & 0.0151511550064083_dp, 0.0144072638927889_dp, 0.0136886457342843_dp, 0.0129996613698729_dp, &
+         & 0.0123438217852230_dp, 0.0117237943288167_dp, 0.0111414393053104_dp, 0.0105978702543706_dp, &
+         & 0.0100935308866600_dp, 0.0096282819112773_dp, 0.0092014917054648_dp, 0.0088121257877259_dp, &
+         & 0.0084588312078335_dp, 0.0081400131334941_dp, 0.0078539019973462_dp, 0.0075986105065238_dp, &
+         & 0.0073721805777149_dp, 0.0071726208354911_dp, 0.0069979357102099_dp, 0.0068461474138822_dp, &
+         & 0.0067153121824917_dp, 0.0066035321760876_dp, 0.0065089643461782_dp, 0.0064298274331303_dp, &
+         & 0.0063644080611884_dp, 0.0063110666700841_dp, 0.0062682437737540_dp, 0.0062344667821046_dp, &
+         & 0.0062083573752120_dp, 0.0061886391953626_dp, 0.0061741454352311_dp, 0.0061638257630241_dp, &
+         & 0.0061567519474509_dp, 0.0061521215322644_dp, 0.0061492589617316_dp, 0.0061476136686259_dp, &
+         & 0.0061467547935771_dp, 0.0061463623930111_dp, 0.0061462151943048_dp, 0.0061461751530929_dp, &
+         & 0.0061461692431086_dp, 0.0061461687780191_dp, 0.0061461603065233_dp, 0.0061461029111134_dp, &
+         & 0.0061458919228146_dp, 0.0061453295308255_dp, 0.0061440988783437_dp, 0.0061417425244741_dp, &
+         & 0.0061376463473501_dp, 0.0061310299750254_dp, 0.0061209448316550_dp, 0.0061062808488482_dp, &
+         & 0.0060857827802654_dp, 0.0060580768332644_dp, 0.0060217079604460_dp, 0.0059751876141019_dp, &
+         & 0.0059170510563721_dp, 0.0058459224643764_dp, 0.0057605851334249_dp, 0.0056600531573564_dp, &
+         & 0.0055436401758162_dp, 0.0054110202608497_dp, 0.0052622759002969_dp, 0.0050979284226360_dp, &
+         & 0.0049189471404112_dp, 0.0047267349349197_dp, 0.0045230898476792_dp, 0.0043101442925394_dp, &
+         & 0.0040902855122210_dp, 0.0038660626155484_dp, 0.0036400867165497_dp, 0.0034149311941571_dp, &
+         & 0.0031930388420622_dp, 0.0029766417345394_dp, 0.0027676981485005_dp, 0.0025678490772294_dp, &
+         & 0.0023783949960637_dp, 0.0022002918255948_dp, 0.0020341636613228_dp, 0.0018803289055791_dp, &
+         & 0.0017388359784038_dp, 0.0016095047640627_dp, 0.0014919702852482_dp, 0.0013857256753204_dp, &
+         & 0.0012901622208797_dp, 0.0012046049664753_dp, 0.0011283430316612_dp, 0.0010606543415788_dp, &
+         & 0.0010008248974376_dp, 0.0009481630136544_dp, 0.0009020091359071_dp, 0.0008617419466840_dp, &
+         & 0.0008267814829535_dp, 0.0007965899562852_dp, 0.0007706708996258_dp, 0.0007485671834456_dp, &
+         & 0.0007298583584215_dp, 0.0007141576985266_dp, 0.0007011092400966_dp, 0.0006903850398299_dp, &
+         & 0.0006816828075633_dp, 0.0006747240076935_dp, 0.0006692524661251_dp, 0.0006650334679237_dp, &
+         & 0.0006618532853186_dp, 0.0006595190377726_dp, 0.0006578587572765_dp, 0.0006567215146228_dp, &
+         & 0.0006559774573731_dp, 0.0006555176179968_dp, 0.0006552533703642_dp, 0.0006551154424479_dp, &
+         & 0.0006550524296148_dp, 0.0006550287925507_dp, 0.0006550223628116_dp, 0.0006550214138000_dp, &
+         & 0.0006550213384559_dp, 0.0006550199576795_dp, 0.0006550106027784_dp, 0.0006549762141148_dp, &
+         & 0.0006548845537994_dp, 0.0006546839941539_dp, 0.0006543000390892_dp, 0.0006536327779607_dp, &
+         & 0.0006525554869473_dp, 0.0006509146070757_dp, 0.0006485313325416_dp, 0.0006452050276228_dp, &
+         & 0.0006407186439709_dp, 0.0006348462222362_dp, 0.0006273624262935_dp, 0.0006180538749501_dp, &
+         & 0.0006067318143432_dp, 0.0005932454349276_dp, 0.0005774949116962_dp, 0.0005594430750312_dp, &
+         & 0.0005391245447359_dp, 0.0005166512176745_dp, 0.0004922132106157_dp, 0.0004660747210929_dp, &
+         & 0.0004385647488820_dp, 0.0004100631612655_dp, 0.0003809831104421_dp, 0.0003517512390800_dp, &
+         & 0.0003227873671430_dp, 0.0002944853907804_dp, 0.0002671969312129_dp, 0.0002412188829868_dp, &
+         & 0.0002167855041426_dp, 0.0001940651653329_dp, 0.0001731614189250_dp, 0.0001541177099171_dp, &
+         & 1.3692483033478399e-04_dp, 1.2153010174176200e-04_dp, 1.0784725644585900e-04_dp, 9.5766097014338096e-05_dp, &
+         & 8.5161249837817406e-05_dp, 7.5899638110055206e-05_dp, 6.7846577954444598e-05_dp, 6.0870557933134797e-05_dp, &
+         & 5.4846789887541500e-05_dp, 4.9659597082807303e-05_dp, 4.5203725294484798e-05_dp, 4.1384746040207302e-05_dp, &
+         & 3.8118810540499502e-05_dp, 3.5332033991419800e-05_dp, 3.2959723084147199e-05_dp, 3.0945552842665001e-05_dp, &
+         & 2.9240717852929698e-05_dp, 2.7803059018505199e-05_dp, 2.6596184012128699e-05_dp, 2.5588621366035000e-05_dp, &
+         & 2.4753051057868601e-05_dp, 2.4065638618342399e-05_dp, 2.3505478784602300e-05_dp, 2.3054140302125600e-05_dp, &
+         & 2.2695298714348100e-05_dp, 2.2414445212448599e-05_dp, 2.2198662054218099e-05_dp, 2.2036455997298501e-05_dp, &
+         & 2.1917640434465599e-05_dp, 2.1833255475889300e-05_dp, 2.1775514101651801e-05_dp, 2.1737762243123599e-05_dp, &
+         & 2.1714441356901499e-05_dp, 2.1701043542932099e-05_dp, 2.1694051395515501e-05_dp, 2.1690857246014999e-05_dp, &
+         & 2.1689659110646401e-05_dp, 2.1689333198571200e-05_dp, 2.1689285094717001e-05_dp, 2.1689281240688800e-05_dp, &
+         & 2.1689210163877700e-05_dp, 2.1688728615409898e-05_dp, 2.1686958471822701e-05_dp, 2.1682240537002100e-05_dp, &
+         & 2.1671918586818599e-05_dp, 2.1652162825014399e-05_dp, 2.1617844923382802e-05_dp, 2.1562478672687599e-05_dp, &
+         & 2.1478241956973700e-05_dp, 2.1356096612024099e-05_dp, 2.1186021683328202e-05_dp, 2.0957371715035799e-05_dp, &
+         & 2.0659364181607702e-05_dp, 2.0281688824286301e-05_dp, 1.9815217067620202e-05_dp, 1.9252773256428501e-05_dp, &
+         & 1.8589912844424502e-05_dp, 1.7825637239066198e-05_dp, 1.6962961578048700e-05_dp, 1.6009242019832101e-05_dp, &
+         & 1.4976168663638500e-05_dp, 1.3879350760803700e-05_dp, 1.2737477090962701e-05_dp, 1.1571131121601600e-05_dp, &
+         & 1.0401453461428300e-05_dp, 9.2489109958515703e-06_dp, 8.1323785947606808e-06_dp, 7.0685441251328004e-06_dp, &
+         & 6.0714079386237100e-06_dp, 5.1515658641143602e-06_dp, 4.3152051101280603e-06_dp, 3.5632297943344301e-06_dp, &
+         & 2.8912710402506601e-06_dp, 2.2910376531459801e-06_dp, 1.7524267492685701e-06_dp, 1.2645414748657700e-06_dp, &
+         & 8.1233620086163004e-07_dp, 3.5502719542002099e-07_dp, 3.1726859117675598e-07_dp, 6.0945916535715096e-07_dp, &
+         & 7.9575747580218295e-07_dp, 9.3185830896125300e-07_dp, 1.0346604445432599e-06_dp, 1.1104850954346499e-06_dp, &
+         & 1.1635395514852899e-06_dp, 1.1991656110321701e-06_dp, 1.2238169148082200e-06_dp, 1.2433940642653200e-06_dp, &
+         & 1.2616724911485001e-06_dp, 1.2799010215003301e-06_dp, 1.2975678275184400e-06_dp, 1.3135927955376701e-06_dp, &
+         & 1.3272056619273400e-06_dp, 1.3382346976120700e-06_dp, 1.3469599542403900e-06_dp, 1.3538294820758500e-06_dp, &
+         & 1.3592507905890700e-06_dp, 1.3635173414794400e-06_dp, 1.3668281880763200e-06_dp, 1.3693352703958401e-06_dp, &
+         & 1.3711768898083699e-06_dp, 1.3724876785081700e-06_dp, 1.3733936058413200e-06_dp, 1.3740035934573001e-06_dp, &
+         & 1.3744046344355001e-06_dp, 1.3746618474641501e-06_dp, 1.3748218641307400e-06_dp, 1.3749173281008000e-06_dp, &
+         & 1.3749709660837401e-06_dp, 1.3749986029765199e-06_dp, 1.3750111460542101e-06_dp, 1.3750158377456900e-06_dp, &
+         & 1.3750171126147801e-06_dp, 1.3750173007975900e-06_dp, 1.3750173087911900e-06_dp, 1.3750173692983500e-06_dp, &
+         & 1.3750177804139301e-06_dp, 1.3750193054162801e-06_dp, 1.3750234761911201e-06_dp, 1.3750331375739201e-06_dp, &
+         & 1.3750536594914200e-06_dp, 1.3750955167868301e-06_dp, 1.3751790659544100e-06_dp, 1.3753419290107901e-06_dp, &
+         & 1.3756478601800701e-06_dp, 1.3761928487898700e-06_dp, 1.3770998650297600e-06_dp, 1.3784903847291500e-06_dp, &
+         & 1.3804236173031700e-06_dp, 1.3828097239487700e-06_dp, 1.3853341003233799e-06_dp, 1.3874664716029300e-06_dp, &
+         & 1.3886424304887500e-06_dp, 1.3886547507446799e-06_dp, 1.3881511126134799e-06_dp, 1.3889373889908200e-06_dp, &
+         & 1.3936633138644800e-06_dp, 1.4046316428872900e-06_dp, 1.4220520406782500e-06_dp, 1.4428053289883299e-06_dp, &
+         & 1.4609942829979499e-06_dp, 1.4706979721834701e-06_dp, 1.4697682306774600e-06_dp, 1.4622130836139399e-06_dp, &
+         & 1.4566465046383900e-06_dp, 1.4601737883257500e-06_dp, 1.4708064022261901e-06_dp, 1.4742197381734099e-06_dp, &
+         & 1.4483513511853700e-06_dp, 1.3734037291879301e-06_dp, 1.2414188403919700e-06_dp, 1.0607900639003599e-06_dp, &
+         & 8.5420701056992996e-07_dp, 6.5130410509261996e-07_dp, 4.7888602405787903e-07_dp, 3.5191752079111199e-07_dp, &
+         &  2.6859185398020500e-07_dp, -2.8865798640254102e-15_dp, -2.8865798640254102e-15_dp, -2.8865798640254102e-15_dp, &
+         & -2.8865798640254102e-15_dp, -2.8865798640254102e-15_dp, -2.8865798640254102e-15_dp, -2.8865798640254102e-15_dp, &
+         & -2.8865798640254102e-15_dp, -2.8865798640254102e-15_dp, -2.8865798640254102e-15_dp, -2.8865798640254102e-15_dp, &
+         & -2.8865798640254102e-15_dp, -2.8865798640254102e-15_dp, -2.8865798640254102e-15_dp, -2.8865798640254102e-15_dp, &
+         & -2.8865798640254102e-15_dp, -2.8865798640254102e-15_dp, -2.8865798640254102e-15_dp, -2.8865798640254102e-15_dp, &
+         & -2.8865798640254102e-15_dp, -2.8865798640254102e-15_dp, -2.8865798640254102e-15_dp, -2.8865798640254102e-15_dp, &
+         & -2.8865798640254102e-15_dp, -2.8865798640254102e-15_dp, -2.8865798640254102e-15_dp, -2.8865798640254102e-15_dp, &
+         & -2.8865798640254102e-15_dp, -2.8865798640254102e-15_dp, -2.8865798640254102e-15_dp, -2.8865798640254102e-15_dp, &
+         & -2.8865798640254102e-15_dp &
+         &]
+      case (2)
+         out = [&
+         & 2.0000000000000000_dp, 1.9999999996436999_dp, 1.9999999886262501_dp, 1.9999999139813101_dp, &
+         & 1.9999996395770401_dp, 1.9999989081040299_dp, 1.9999973072324699_dp, 1.9999942411389999_dp, &
+         & 1.9999889084477900_dp, 1.9999802874435300_dp, 1.9999671292019301_dp, 1.9999479590517599_dp, &
+         & 1.9999210865384700_dp, 1.9998846238098500_dp, 1.9998365120970001_dp, 1.9997745557254201_dp, &
+         & 1.9996964628686700_dp, 1.9995998920571201_dp, 1.9994825032813699_dp, 1.9993420123896599_dp, &
+         & 1.9991762473733601_dp, 1.9989832050673599_dp, 1.9987611067637501_dp, 1.9985084512478599_dp, &
+         & 1.9982240638149700_dp, 1.9979071399112700_dp, 1.9975572821628700_dp, 1.9971745297070600_dp, &
+         & 1.9967593789188001_dp, 1.9963127948270101_dp, 1.9958362127358700_dp, 1.9953315298014200_dp, &
+         & 1.9948010865575101_dp, 1.9942476386325101_dp, 1.9936743191436801_dp, 1.9930845924930800_dp, &
+         & 1.9924822005122500_dp, 1.9918711021059901_dp, 1.9912554077225399_dp, 1.9906393101236699_dp, &
+         & 1.9900270130375799_dp, 1.9894226593469999_dp, 1.9888302604910999_dp, 1.9882536287407300_dp, &
+         & 1.9876963139422501_dp, 1.9871615462160901_dp, 1.9866521859452100_dp, 1.9861706821995999_dp, &
+         & 1.9857190405206699_dp, 1.9852988007411501_dp, 1.9849110252479900_dp, 1.9845562978170601_dp, &
+         & 1.9842347328665000_dp, 1.9839459946993401_dp, 1.9836893260435500_dp, 1.9834635849569500_dp, &
+         & 1.9832672889518601_dp, 1.9830986650166600_dp, 1.9829557040725800_dp, 1.9828362183084201_dp, &
+         & 1.9827378997849201_dp, 1.9826583786954199_dp, 1.9825952797094899_dp, 1.9825462749094500_dp, &
+         & 1.9825091319533601_dp, 1.9824817562575701_dp, 1.9824622261830900_dp, 1.9824488204261601_dp, &
+         & 1.9824400370493001_dp, 1.9824346038378000_dp, 1.9824314799208000_dp, 1.9824298488501699_dp, &
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+         & 4.4804604196313498e-05_dp, 4.4155363569053898e-05_dp, 4.3646906919381203e-05_dp, 4.3256074054642803e-05_dp, &
+         & 4.2962185203609901e-05_dp, 4.2746863085474401e-05_dp, 4.2593913647470699e-05_dp, 4.2489245438259702e-05_dp, &
+         & 4.2420807815135602e-05_dp, 4.2378529313325002e-05_dp, 4.2354239786712697e-05_dp, 4.2341563224912401e-05_dp, &
+         & 4.2335772285628799e-05_dp, 4.2333600080324301e-05_dp, 4.2333009204309498e-05_dp, 4.2332921992960197e-05_dp, &
+         & 4.2332915068055103e-05_dp, 4.2332788156462797e-05_dp, 4.2331928320704601e-05_dp, 4.2328767605015499e-05_dp, &
+         & 4.2320343316637497e-05_dp, 4.2301912134501400e-05_dp, 4.2266634008969502e-05_dp, 4.2205346939994101e-05_dp, &
+         & 4.2106456681345599e-05_dp, 4.1955968172802103e-05_dp, 4.1737686906184701e-05_dp, 4.1433616892350097e-05_dp, &
+         & 4.1024575714976301e-05_dp, 4.0491034915435298e-05_dp, 3.9814174870977903e-05_dp, 3.8977117849281498e-05_dp, &
+         & 3.7966273117140403e-05_dp, 3.6772697474818399e-05_dp, 3.5393348319257001e-05_dp, 3.3832089613383700e-05_dp, &
+         & 3.2100309168336902e-05_dp, 3.0217022734868599e-05_dp, 2.8208380055127999e-05_dp, 2.6106551594962099e-05_dp, &
+         & 2.3948058568867799e-05_dp, 2.1771700195794000e-05_dp, 1.9616306811798301e-05_dp, 1.7518576031383400e-05_dp, &
+         & 1.5511213410146499e-05_dp, 1.3621511059547201e-05_dp, 1.1870402734759400e-05_dp, 1.0271984968834900e-05_dp, &
+         & 8.8335052339516602e-06_dp, 7.5558418777266203e-06_dp, 6.4344608297073302e-06_dp, 5.4607096628966900e-06_dp, &
+         & 4.6231839019306198e-06_dp, 3.9089035688277801e-06_dp, 3.3042051343912198e-06_dp, 2.7954501433669099e-06_dp, &
+         & 2.3696801927375299e-06_dp, 2.0151708395310702e-06_dp, 1.7216604910608200e-06_dp, 1.4801095704619599e-06_dp, &
+         & 1.2821822776842899e-06_dp, 1.1199223015623299e-06_dp, 9.8597719433435295e-07_dp, 8.7424461181484503e-07_dp, &
+         & 7.8040289808178898e-07_dp, 7.0184295841713204e-07_dp, 6.3697440899623803e-07_dp, 5.8433158733883804e-07_dp, &
+         & 5.4201353583138701e-07_dp, 5.0771278181649404e-07_dp, 4.7916710044226797e-07_dp, 4.5464227427238800e-07_dp, &
+         & 4.3314693320972697e-07_dp, 4.1432993436174602e-07_dp, 3.9819576280741800e-07_dp, 3.8481317443661599e-07_dp, &
+         & 3.7413070774761103e-07_dp, 3.6592423735548602e-07_dp, 3.5983851387477701e-07_dp, 3.5546453913681799e-07_dp, &
+         & 3.5240803364367000e-07_dp, 3.5032969192272400e-07_dp, 3.4895816636293402e-07_dp, 3.4808575199996002e-07_dp, &
+         & 3.4755699429567202e-07_dp, 3.4725686326453300e-07_dp, 3.4710130525361601e-07_dp, 3.4703049189843698e-07_dp, &
+         & 3.4700397000264600e-07_dp, 3.4699675932614598e-07_dp, 3.4699569528839902e-07_dp, 3.4699558582040900e-07_dp, &
+         & 3.4699326989517900e-07_dp, 3.4697758133361802e-07_dp, 3.4691993722191201e-07_dp, 3.4676649929288301e-07_dp, &
+         & 3.4643181967553000e-07_dp, 3.4579511898336101e-07_dp, 3.4470104748329799e-07_dp, 3.4296740514250198e-07_dp, &
+         & 3.4040237206767198e-07_dp, 3.3683256828176401e-07_dp, 3.3213973282819598e-07_dp, 3.2629745794210402e-07_dp, &
+         & 3.1939099098821099e-07_dp, 3.1159649638290400e-07_dp, 3.0309905030279099e-07_dp, 2.9395067024928799e-07_dp, &
+         & 2.8391365525237699e-07_dp, 2.7238360655878998e-07_dp, 2.5850113494208003e-07_dp, 2.4150335398154302e-07_dp, &
+         & 2.2123665566198301e-07_dp, 1.9859934519139699e-07_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, &
+         & 0.0000000000000000e+00_dp, 2.2204460492503101e-16_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, &
+         & 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 2.2204460492503101e-16_dp, &
+         & 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 2.2204460492503101e-16_dp, &
+         & 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 2.2204460492503101e-16_dp, 0.0000000000000000e+00_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 2.2204460492503101e-16_dp, 0.0000000000000000e+00_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 2.2204460492503101e-16_dp, 0.0000000000000000e+00_dp, &
+         & 2.2204460492503101e-16_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 2.2204460492503101e-16_dp, &
+         & 2.2204460492503101e-16_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, &
+         & 0.0000000000000000e+00_dp, 2.2204460492503101e-16_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, &
+         & 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 2.2204460492503101e-16_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 2.2204460492503101e-16_dp, 2.2204460492503101e-16_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 2.2204460492503101e-16_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 2.2204460492503101e-16_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 2.2204460492503101e-16_dp, &
+         & 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 2.2204460492503101e-16_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 2.2204460492503101e-16_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, &
+         & 2.2204460492503101e-16_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, &
+         & 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 2.2204460492503101e-16_dp, 0.0000000000000000e+00_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 0.0000000000000000e+00_dp, 2.2204460492503101e-16_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, &
+         & 0.0000000000000000_dp &
+         &]
+      case (3)
+         out = [&
+         & 3.0000000000000000_dp, 2.9999999993597899_dp, 2.9999999795632402_dp, 2.9999998454385102_dp, &
+         & 2.9999993523789699_dp, 2.9999980380415199_dp, 2.9999951615357698_dp, 2.9999896522600600_dp, &
+         & 2.9999800702593000_dp, 2.9999645796428700_dp, 2.9999409362185601_dp, 2.9999064900814600_dp, &
+         & 2.9998582034573702_dp, 2.9997926836524602_dp, 2.9997062305167299_dp, 2.9995948974029800_dp, &
+         & 2.9994545642059398_dp, 2.9992810207107001_dp, 2.9990700581743099_dp, 2.9988175668164700_dp, &
+         & 2.9985196367118299_dp, 2.9981726594592502_dp, 2.9977734279555102_dp, 2.9973192316207902_dp, &
+         & 2.9968079445103499_dp, 2.9962381038961099_dp, 2.9956089771108800_dp, 2.9949206147097400_dp, &
+         & 2.9941738883132101_dp, 2.9933705118476999_dp, 2.9925130452840500_dp, 2.9916048803869200_dp, &
+         & 2.9906502084179798_dp, 2.9896539701756399_dp, 2.9886217891939100_dp, 2.9875598893517301_dp, &
+         & 2.9864749985521302_dp, 2.9853742405051502_dp, 2.9842650169794900_dp, 2.9831548831639201_dp, &
+         & 2.9820514189907099_dp, 2.9809620994116699_dp, 2.9798941666761900_dp, 2.9788545076357700_dp, &
+         & 2.9778495389900002_dp, 2.9768851031958401_dp, 2.9759663774905500_dp, 2.9750977981352600_dp, &
+         & 2.9742830015813500_dp, 2.9735247838078802_dp, 2.9728250785878498_dp, 2.9721849549309902_dp, &
+         & 2.9716046334346502_dp, 2.9710835207693300_dp, 2.9706202610462600_dp, 2.9702128023747201_dp, &
+         & 2.9698584765300899_dp, 2.9695540893303498_dp, 2.9692960190670799_dp, 2.9690803201643101_dp, &
+         & 2.9689028291474102_dp, 2.9687592699967702_dp, 2.9686453560351000_dp, 2.9685568856505800_dp, &
+         & 2.9684898293830799_dp, 2.9684404061920899_dp, 2.9684051470712300_dp, 2.9683809445673202_dp, &
+         & 2.9683650871884502_dp, 2.9683552781352200_dp, 2.9683496382492200_dp, 2.9683466935305902_dp, &
+         & 2.9683453480209701_dp, 2.9683448432668400_dp, 2.9683447059608201_dp, 2.9683446856947100_dp, &
+         & 2.9683446830362299_dp, 2.9683446210966902_dp, 2.9683442014465800_dp, 2.9683426587589499_dp, &
+         & 2.9683385464476499_dp, 2.9683295463871699_dp, 2.9683123087852601_dp, 2.9682823280399302_dp, &
+         & 2.9682338593393598_dp, 2.9681598795455999_dp, 2.9680520945791402_dp, 2.9679009941363499_dp, &
+         & 2.9676959531708600_dp, 2.9674253782000002_dp, 2.9670768952025202_dp, 2.9666375746936100_dp, &
+         & 2.9660941885306702_dp, 2.9654334921421901_dp, 2.9646425251989901_dp, 2.9637089232663101_dp, &
+         & 2.9626212326855401_dp, 2.9613692208261200_dp, 2.9599441739079801_dp, 2.9583391748079699_dp, &
+         & 2.9565493536165999_dp, 2.9545721041939901_dp, 2.9524072605807699_dp, 2.9500572278509800_dp, &
+         & 2.9475270628517101_dp, 2.9448245012639598_dp, 2.9419599285419902_dp, 2.9389462935403001_dp, &
+         & 2.9357989650056000_dp, 2.9325355325699300_dp, 2.9291755553934702_dp, 2.9257402631218601_dp, &
+         & 2.9222522152841202_dp, 2.9187349266003899_dp, 2.9152124668286801_dp, 2.9117090446990401_dp, &
+         & 2.9082485861116600_dp, 2.9048543170795100_dp, 2.9015483618566700_dp, 2.8983513663104601_dp, &
+         & 2.8952821558858002_dp, 2.8923574365037501_dp, 2.8895915454773400_dp, 2.8869962580666102_dp, &
+         & 2.8845806536885101_dp, 2.8823510441023399_dp, 2.8803109641647402_dp, 2.8784612240425398_dp, &
+         & 2.8768000201357302_dp, 2.8753231004387900_dp, 2.8740239786956598_dp, 2.8728941905116501_dp, &
+         & 2.8719235836032899_dp, 2.8711006336131200_dp, 2.8704127764073402_dp, 2.8698467475188600_dp, &
+         & 2.8693889193988702_dp, 2.8690256273944001_dp, 2.8687434758664301_dp, 2.8685296165871601_dp, &
+         & 2.8683719924836399_dp, 2.8682595409003100_dp, 2.8681823518033198_dp, 2.8681317777090398_dp, &
+         & 2.8681004935509300_dp, 2.8680825061626698_dp, 2.8680731145145701_dp, 2.8680688232536098_dp, &
+         & 2.8680672134309200_dp, 2.8680667755179901_dp, 2.8680667108828799_dp, 2.8680667051768300_dp, &
+         & 2.8680665933695599_dp, 2.8680658358577702_dp, 2.8680630511478600_dp, 2.8680556280073102_dp, &
+         & 2.8680393820046199_dp, 2.8680082665089999_dp, 2.8679541487116902_dp, 2.8678666593149802_dp, &
+         & 2.8677331223590201_dp, 2.8675385692895299_dp, 2.8672658388857499_dp, 2.8668957621487099_dp, &
+         & 2.8664074287746999_dp, 2.8657785294867901_dp, 2.8649857663384499_dp, 2.8640053211959802_dp, &
+         & 2.8628133709968400_dp, 2.8613866370942298_dp, 2.8597029550479900_dp, 2.8577418506011698_dp, &
+         & 2.8554851072776999_dp, 2.8529173110270598_dp, 2.8500263576074900_dp, 2.8468039089275501_dp, &
+         & 2.8432457853543900_dp, 2.8393522820566401_dp, 2.8351283988026501_dp, 2.8305839743046799_dp, &
+         & 2.8257337182099902_dp, 2.8205971361948001_dp, 2.8151983462991299_dp, 2.8095657875978599_dp, &
+         & 2.8037318254473802_dp, 2.7977322607578401_dp, 2.7916057538694101_dp, 2.7853931764961701_dp, &
+         & 2.7791369076847299_dp, 2.7728800916738301_dp, 2.7666658768280299_dp, 2.7605366553873298_dp, &
+         & 2.7545333236067400_dp, 2.7486945809862302_dp, 2.7430562857838798_dp, 2.7376508819675300_dp, &
+         & 2.7325069103174400_dp, 2.7276486136753402_dp, 2.7230956434713600_dp, 2.7188628717626000_dp, &
+         & 2.7149603101809001_dp, 2.7113931344834801_dp, 2.7081618108818399_dp, 2.7052623180228199_dp, &
+         & 2.7026864564332400_dp, 2.7004222354261000_dp, 2.6984543259127198_dp, 2.6967645662790400_dp, &
+         & 2.6953325074803498_dp, 2.6941359828013902_dp, 2.6931516873381698_dp, 2.6923557522026398_dp, &
+         & 2.6917242987480399_dp, 2.6912339587714200_dp, 2.6908623476711200_dp, 2.6905884789095600_dp, &
+         & 2.6903931098308300_dp, 2.6902590108703901_dp, 2.6901711524187299_dp, 2.6901168060013299_dp, &
+         & 2.6900855589422399_dp, 2.6900692442139298_dp, 2.6900617896634800_dp, 2.6900589931692398_dp, &
+         & 2.6900582324517002_dp, 2.6900581201712699_dp, 2.6900581111649902_dp, 2.6900579449533999_dp, &
+         & 2.6900568188440301_dp, 2.6900526791258201_dp, 2.6900416439954902_dp, 2.6900174930631402_dp, &
+         & 2.6899712379979399_dp, 2.6898907902230800_dp, 2.6897607388402300_dp, 2.6895622488591600_dp, &
+         & 2.6892730864067600_dp, 2.6888677739775000_dp, 2.6883178750571401_dp, 2.6875924036990702_dp, &
+         & 2.6866583509580400_dp, 2.6854813165876901_dp, 2.6840262311792000_dp, 2.6822581510457302_dp, &
+         & 2.6801431057129399_dp, 2.6776489759203299_dp, 2.6747463786156902_dp, 2.6714095345680899_dp, &
+         & 2.6676170939579000_dp, 2.6633528956449899_dp, 2.6586066367895298_dp, 2.6533744311261600_dp, &
+         & 2.6476592364932299_dp, 2.6414711352094700_dp, 2.6348274545645798_dp, 2.6277527190109300_dp, &
+         & 2.6202784305240501_dp, 2.6124426789004098_dp, 2.6042895892811400_dp, 2.5958686196804299_dp, &
+         & 2.5872337264722698_dp, 2.5784424203580500_dp, 2.5695547390272200_dp, 2.5606321653170001_dp, &
+         & 2.5517365210301399_dp, 2.5429288666329999_dp, 2.5342684358753398_dp, 2.5258116320847601_dp, &
+         & 2.5176111096983602_dp, 2.5097149607563800_dp, 2.5021660218656199_dp, 2.4950013128060999_dp, &
+         & 2.4882516137276598_dp, 2.4819411839406702_dp, 2.4760876217644099_dp, 2.4707018618163601_dp, &
+         & 2.4657883035113701_dp, 2.4613450623561901_dp, 2.4573643338086599_dp, 2.4538328579491799_dp, &
+         & 2.4507324719118602_dp, 2.4480407358872598_dp, 2.4457316175038999_dp, 2.4437762185134599_dp, &
+         & 2.4421435269653400_dp, 2.4408011775042699_dp, 2.4397162021202199_dp, 2.4388557536940700_dp, &
+         & 2.4381877850829401_dp, 2.4376816673348500_dp, 2.4373087319502602_dp, 2.4370427239325099_dp, &
+         & 2.4368601546707200_dp, 2.4367405464300398_dp, 2.4366665633074800_dp, 2.4366240268455099_dp, &
+         & 2.4366018179597599_dp, 2.4365916703037200_dp, 2.4365878635299500_dp, 2.4365868279916301_dp, &
+         & 2.4365866751482201_dp, 2.4365866633594599_dp, 2.4365864516712201_dp, 2.4365850174508501_dp, &
+         & 2.4365797450848201_dp, 2.4365656907371100_dp, 2.4365349323511900_dp, 2.4364760233364100_dp, &
+         & 2.4363735705956602_dp, 2.4362079543028998_dp, 2.4359552031290299_dp, 2.4355870345017498_dp, &
+         & 2.4350710650269498_dp, 2.4343711914583501_dp, 2.4334481376550801_dp, 2.4322601579053300_dp, &
+         & 2.4307638819306301_dp, 2.4289152819565301_dp, 2.4266707375947298_dp, 2.4239881701002002_dp, &
+         & 2.4208282140220998_dp, 2.4171553915375101_dp, 2.4129392530107299_dp, 2.4081554467087400_dp, &
+         & 2.4027866812504599_dp, 2.3968235463609400_dp, 2.3902651608841201_dp, 2.3831196217640001_dp, &
+         & 2.3754042337472701_dp, 2.3671455067259202_dp, 2.3583789156711199_dp, 2.3491484266704901_dp, &
+         & 2.3395058012540302_dp, 2.3295096995143099_dp, 2.3192246100112701_dp, 2.3087196406498300_dp, &
+         & 2.2980672092506702_dp, 2.2873416751410698_dp, 2.2766179536592701_dp, 2.2659701540411801_dp, &
+         & 2.2554702779417801_dp, 2.2451870111693299_dp, 2.2351846354970899_dp, 2.2255220811312100_dp, &
+         & 2.2162521340095598_dp, 2.2074208059926099_dp, 2.1990668705056602_dp, 2.1912215615213202_dp, &
+         & 2.1839084300405101_dp, 2.1771433494471699_dp, 2.1709346591942800_dp, 2.1652834350847998_dp, &
+         & 2.1601838737572199_dp, 2.1556237786780601_dp, 2.1515851347977000_dp, 2.1480447588858200_dp, &
+         & 2.1449750123146498_dp, 2.1423445626389199_dp, 2.1401191797200299_dp, 2.1382625513987601_dp, &
+         & 2.1367371029196200_dp, 2.1355048035667301_dp, 2.1345279434229001_dp, 2.1337698629499098_dp, &
+         & 2.1331956183391401_dp, 2.1327725664006199_dp, 2.1324708542112698_dp, 2.1322638008494801_dp, &
+         & 2.1321281612728300_dp, 2.1320442656683301_dp, 2.1319960312977702_dp, 2.1319708478177901_dp, &
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+         & 0.3802215083501100_dp, 0.3802199050856130_dp, 0.3802194689587380_dp, 0.3802194045873180_dp, &
+         & 0.3802193996424450_dp, 0.3802193111085250_dp, 0.3802187112783230_dp, 0.3802165062404600_dp, &
+         & 0.3802106284301070_dp, 0.3801977650416140_dp, 0.3801731303273150_dp, 0.3801302910205320_dp, &
+         & 0.3800610531053480_dp, 0.3799554169679690_dp, 0.3798016065617630_dp, 0.3795861765362170_dp, &
+         & 0.3792941992540380_dp, 0.3789095311994480_dp, 0.3784151554433960_dp, 0.3777935936053090_dp, &
+         & 0.3770273772352250_dp, 0.3760995648956780_dp, 0.3749942876952220_dp, 0.3736973029126200_dp, &
+         & 0.3721965329893740_dp, 0.3704825658934990_dp, 0.3685490929587030_dp, 0.3663932619727650_dp, &
+         & 0.3640159265892030_dp, 0.3614217779531590_dp, 0.3586193504866700_dp, 0.3556209006191000_dp, &
+         & 0.3524421643129600_dp, 0.3491020059030260_dp, 0.3456219764364450_dp, 0.3420258038786550_dp, &
+         & 0.3383388399043280_dp, 0.3345874884053890_dp, 0.3307986394238980_dp, 0.3269991292506760_dp, &
+         & 0.3232152433649660_dp, 0.3194722742440490_dp, 0.3157941413505600_dp, 0.3122030762685990_dp, &
+         & 0.3087193723236540_dp, 0.3053611952803070_dp, 0.3021444499121040_dp, 0.2990826963208030_dp, &
+         & 0.2961871096843840_dp, 0.2934664774797210_dp, 0.2909272289241290_dp, 0.2885734922620210_dp, &
+         & 0.2864071764141150_dp, 0.2844280743161870_dp, 0.2826339859206350_dp, 0.2810208593071280_dp, &
+         & 0.2795829485906070_dp, 0.2783129874084120_dp, 0.2772023766485560_dp, 0.2762413848251310_dp, &
+         & 0.2754193591303890_dp, 0.2747249447091410_dp, 0.2741463091772300_dp, 0.2736713688439770_dp, &
+         & 0.2732880125879190_dp, 0.2729843188689070_dp, 0.2727487610393020_dp, 0.2725703959299900_dp, &
+         & 0.2724390307363170_dp, 0.2723453634730470_dp, 0.2722810927738720_dp, 0.2722389935650840_dp, &
+         & 0.2722129560796450_dp, 0.2721979868378550_dp, 0.2721901714651360_dp, 0.2721866005387570_dp, &
+         & 0.2721852609583410_dp, 0.2721848965596470_dp, 0.2721848427751450_dp, 0.2721848386117530_dp, &
+         & 0.2721847636640640_dp, 0.2721842558795210_dp, 0.2721823892103690_dp, 0.2721774133543860_dp, &
+         & 0.2721665238074640_dp, 0.2721456689921840_dp, 0.2721094021997260_dp, 0.2720507851662060_dp, &
+         & 0.2719613490568670_dp, 0.2718311173761120_dp, 0.2716486938755300_dp, 0.2714014167906540_dp, &
+         & 0.2710755787097140_dp, 0.2706567090211460_dp, 0.2701299132662700_dp, 0.2694802608670180_dp, &
+         & 0.2686932098225880_dp, 0.2677550542001840_dp, 0.2666533778908890_dp, 0.2653774964171340_dp, &
+         & 0.2639188678085180_dp, 0.2622714539649440_dp, 0.2604320155606670_dp, 0.2584003264641580_dp, &
+         & 0.2561792976047780_dp, 0.2537750049860820_dp, 0.2511966216800330_dp, 0.2484562585908280_dp, &
+         & 0.2455687232733410_dp, 0.2425512094854620_dp, 0.2394229325147440_dp, 0.2362047262565380_dp, &
+         & 0.2329186179561810_dp, 0.2295873952912240_dp, 0.2262341788052560_dp, 0.2228820104939910_dp, &
+         & 0.2195534672231010_dp, 0.2162703056146560_dp, 0.2130531432218890_dp, 0.2099211794757040_dp, &
+         & 0.2068919584519370_dp, 0.2039811746605370_dp, 0.2012025221908020_dp, 0.1985675864527080_dp, &
+         & 0.1960857775415690_dp, 0.1937643031458700_dp, 0.1916081786330310_dp, 0.1896202716355480_dp, &
+         & 0.1878013778692390_dp, 0.1861503251437060_dp, 0.1846641022606120_dp, 0.1833380097865040_dp, &
+         & 0.1821658295534260_dp, 0.1811400100473200_dp, 0.1802518648904420_dp, 0.1794917812334980_dp, &
+         & 0.1788494353535020_dp, 0.1783140119699840_dp, 0.1778744239363450_dp, 0.1775195282959930_dp, &
+         & 0.1772383344975270_dp, 0.1770202007007890_dp, 0.1768550131190440_dp, 0.1767333443741730_dp, &
+         & 0.1766465864293460_dp, 0.1765870545115730_dp, 0.1765480583668420_dp, 0.1765239396876380_dp, &
+         & 0.1765100734776090_dp, 0.1765028339275420_dp, 0.1764995261157570_dp, 0.1764982852351920_dp, &
+         & 0.1764979476866690_dp, 0.1764978978603850_dp, 0.1764978939725110_dp, 0.1764978235666020_dp, &
+         & 0.1764973466591780_dp, 0.1764955934368650_dp, 0.1764909199774680_dp, 0.1764806922288940_dp, &
+         & 0.1764611047054270_dp, 0.1764270413791370_dp, 0.1763719846717530_dp, 0.1762879783429590_dp, &
+         & 0.1761656479500780_dp, 0.1759942817806900_dp, 0.1757619738490730_dp, 0.1754558274385830_dp, &
+         & 0.1750622172916590_dp, 0.1745671049849100_dp, 0.1739564002130000_dp, 0.1732163577879690_dp, &
+         & 0.1723339987995760_dp, 0.1712975406148680_dp, 0.1700968208944550_dp, 0.1687236980229970_dp, &
+         & 0.1671724116088120_dp, 0.1654398870121910_dp, 0.1635259689483170_dp, 0.1613784640636350_dp, &
+         & 0.1591180075937840_dp, 0.1566942557204090_dp, 0.1541192683432690_dp, 0.1514078667364890_dp, &
+         & 0.1485773347755430_dp, 0.1456470479020700_dp, 0.1426380441318620_dp, 0.1395725537111370_dp, &
+         & 0.1364735054725710_dp, 0.1333640284528460_dp, 0.1302669668699900_dp, 0.1272044251424170_dp, &
+         & 0.1241973573524310_dp, 0.1212652125769220_dp, 0.1184256440509260_dp, 0.1156942864611130_dp, &
+         & 0.1130846020661400_dp, 0.1106077930743260_dp, 0.1082727749973210_dp, 0.1060862036939090_dp, &
+         & 0.1040525475897920_dp, 0.1021741960929220_dp, 0.1004515954345670_dp, 0.0988834039197535_dp, &
+         & 0.0974666597059364_dp, 0.0961969555772231_dp, 0.0950686165825934_dp, 0.0940748777200699_dp, &
+         & 0.0932080599638883_dp, 0.0924597437728258_dp, 0.0918209397456806_dp, 0.0912822562994271_dp, &
+         & 0.0908340641617085_dp, 0.0904666571415649_dp, 0.0901704081389934_dp, 0.0899359187561255_dp, &
+         & 0.0897541602670215_dp, 0.0896166031740826_dp, 0.0895153322021929_dp, 0.0894431434162577_dp, &
+         & 0.0893936202314976_dp, 0.0893611854318954_dp, 0.0893411269080673_dp, 0.0893295956357343_dp, &
+         & 0.0893235753846877_dp, 0.0893208247079120_dp, 0.0893197928382401_dp, 0.0893195121450621_dp, &
+         & 0.0893194707153508_dp, 0.0893194674550171_dp, 0.0893194080687567_dp, 0.0893190057184166_dp, &
+         & 0.0893175266406407_dp, 0.0893135839979555_dp, 0.0893049558016386_dp, 0.0892884324662924_dp, &
+         & 0.0892597004161417_dp, 0.0892132676101483_dp, 0.0891424361968269_dp, 0.0890393266967018_dp, &
+         & 0.0888949570719864_dp, 0.0886993787077541_dp, 0.0884418696374203_dp, 0.0881111832666051_dp, &
+         & 0.0876958483952510_dp, 0.0871845135746239_dp, 0.0865663258905380_dp, 0.0858313313236270_dp, &
+         & 0.0849708811388066_dp, 0.0839780265694894_dp, 0.0828478826652344_dp, 0.0815779418194027_dp, &
+         & 0.0801683183849522_dp, 0.0786219080327664_dp, 0.0769444491045728_dp, 0.0751444780263610_dp, &
+         & 0.0732331766068550_dp, 0.0712241153520390_dp, 0.0691329032862380_dp, 0.0669767606351437_dp, &
+         & 0.0647740355542248_dp, 0.0625436894076250_dp, 0.0603047765853111_dp, 0.0580759443454979_dp, &
+         & 0.0558749757539503_dp, 0.0537183947381923_dp, 0.0516211470298700_dp, 0.0495963648889144_dp, &
+         & 0.0476552175788671_dp, 0.0458068441406185_dp, 0.0440583605275910_dp, 0.0424149298986869_dp, &
+         & 0.0408798829238948_dp, 0.0394548742921841_dp, 0.0381400620531247_dp, 0.0369342977294496_dp, &
+         & 0.0358353170334942_dp, 0.0348399232358765_dp, 0.0339441575292203_dp, 0.0331434529095156_dp, &
+         & 0.0324327700247440_dp, 0.0318067150317205_dp, 0.0312596407210735_dp, 0.0307857330142074_dp, &
+         & 0.0303790854244297_dp, 0.0300337642403461_dp, 0.0297438670752381_dp, 0.0295035770801642_dp, &
+         & 0.0293072145945095_dp, 0.0291492873631563_dp, 0.0290245397440980_dp, 0.0289280006248536_dp, &
+         & 0.0288550291193097_dp, 0.0288013565830223_dp, 0.0287631231096208_dp, 0.0287369064862775_dp, &
+         & 0.0287197416075839_dp, 0.0287091285714647_dp, 0.0287030280856020_dp, 0.0286998433595409_dp, &
+         & 0.0286983882952274_dp, 0.0286978424606135_dp, 0.0286976939813313_dp, 0.0286976720661358_dp, &
+         & 0.0286976703262396_dp, 0.0286976384404229_dp, 0.0286974224098926_dp, 0.0286966282673164_dp, &
+         & 0.0286945114401136_dp, 0.0286898791470920_dp, 0.0286810090221894_dp, 0.0286655877758935_dp, &
+         & 0.0286406736147238_dp, 0.0286026860048074_dp, 0.0285474261131808_dp, 0.0284701307969448_dp, &
+         & 0.0283655622364560_dp, 0.0282281341366772_dp, 0.0280520737946364_dp, 0.0278316172470658_dp, &
+         & 0.0275612322377130_dp, 0.0272358610274135_dp, 0.0268511723439504_dp, 0.0264038093357444_dp, &
+         & 0.0258916185991178_dp, 0.0253138445394190_dp, 0.0246712737951746_dp, 0.0239663163852035_dp, &
+         & 0.0232030136528851_dp, 0.0223869678042270_dp, 0.0215251934888512_dp, 0.0206258979051435_dp, &
+         & 0.0196982016683291_dp, 0.0187518174984498_dp, 0.0177967070891194_dp, 0.0168427379085272_dp, &
+         & 0.0158993609992750_dp, 0.0149753281892249_dp, 0.0140784628718582_dp, 0.0132154932462019_dp, &
+         & 0.0123919513182851_dp, 0.0116121357262018_dp, 0.0108791320769215_dp, 0.0101948812860728_dp, &
+         & 0.0095602845139528_dp, 0.0089753326721929_dp, 0.0084392490002383_dp, 0.0079506346282270_dp, &
+         & 0.0075076090078112_dp, 0.0071079392406013_dp, 0.0067491543814073_dp, 0.0064286425912039_dp, &
+         & 0.0061437305209133_dp, 0.0058917455156697_dp, 0.0056700621238614_dp, 0.0054761349604950_dp, &
+         & 0.0053075202314012_dp, 0.0051618882438884_dp, 0.0050370291033519_dp, 0.0049308535987862_dp, &
+         & 0.0048413910499852_dp, 0.0047667856325337_dp, 0.0047052924119075_dp, 0.0046552740104970_dp, &
+         & 0.0046151985146552_dp, 0.0045836389199194_dp, 0.0045592741261253_dp, 0.0045408912416907_dp, &
+         & 0.0045273887478592_dp, 0.0045177799182374_dp, 0.0045111957951449_dp, 0.0045068869978300_dp, &
+         & 0.0045042236795396_dp, 0.0045026930557381_dp, 0.0045018940829222_dp, 0.0045015290600623_dp, &
+         & 0.0045013921329535_dp, 0.0045013548859858_dp, 0.0045013493884305_dp, 0.0045013489479704_dp, &
+         & 0.0045013408256240_dp, 0.0045012857958322_dp, 0.0045010835049837_dp, 0.0045005443063304_dp, &
+         & 0.0044993644581970_dp, 0.0044971055780865_dp, 0.0044931794632590_dp, 0.0044868394441355_dp, &
+         & 0.0044771794838381_dp, 0.0044631422371597_dp, 0.0044435371866864_dp, 0.0044170697303279_dp, &
+         & 0.0043823816560140_dp, 0.0043381027756517_dp, 0.0042829126010489_dp, 0.0042156098699184_dp, &
+         & 0.0041351865584245_dp, 0.0040409018836112_dp, 0.0039323508763531_dp, 0.0038095215812461_dp, &
+         & 0.0036728349893074_dp, 0.0035231625601506_dp, 0.0033618176855854_dp, 0.0031905196097663_dp, &
+         & 0.0030113309335271_dp, 0.0028265725413870_dp, 0.0026387221744106_dp, 0.0024503045403863_dp, &
+         & 0.0022637815647788_dp, 0.0020814511106906_dp, 0.0019053613678595_dp, 0.0017372463164920_dp, &
+         & 0.0015784853784169_dp, 0.0014300877717677_dp, 0.0012926995302891_dp, 0.0011666291338428_dp, &
+         & 0.0010518866582205_dp, 0.0009482313463272_dp, 0.0008552231208596_dp, 0.0007722742423750_dp, &
+         & 0.0006986978299750_dp, 0.0006337505428733_dp, 0.0005766677171417_dp, 0.0005266906099459_dp, &
+         & 0.0004830865873875_dp, 0.0004451635550282_dp, 0.0004122796492352_dp, 0.0003838487064622_dp, &
+         & 0.0003593418729877_dp, 0.0003382860217718_dp, 0.0003202600503633_dp, 0.0003048902288052_dp, &
+         & 0.0002918454500476_dp, 0.0002808327435226_dp, 0.0002715930522941_dp, 0.0002638971785305_dp, &
+         & 0.0002575418935908_dp, 0.0002523463287925_dp, 0.0002481488056199_dp, 0.0002448042200087_dp, &
+         & 0.0002421820118879_dp, 0.0002401646770278_dp, 0.0002386467347475_dp, 0.0002375340489489_dp, &
+         & 0.0002367433987631_dp, 0.0002362021990043_dp, 0.0002358482759131_dp, 0.0002356296110682_dp, &
+         & 0.0002355039775059_dp, 0.0002354384078020_dp, 0.0002354084535638_dp, 0.0002353972175198_dp, &
+         & 0.0002353941611211_dp, 0.0002353937100064_dp, 0.0002353936735333_dp, 0.0002353929968417_dp, &
+         & 0.0002353884122011_dp, 0.0002353715592172_dp, 0.0002353266402757_dp, 0.0002352283612628_dp, &
+         & 0.0002350402409625_dp, 0.0002347133978682_dp, 0.0002341859371433_dp, 0.0002333830745194_dp, &
+         & 0.0002322181428984_dp, 0.0002305946246590_dp, 0.0002284093297695_dp, 0.0002255567870724_dp, &
+         & 0.0002219348230961_dp, 0.0002174511611410_dp, 0.0002120306834894_dp, 0.0002056227814906_dp, &
+         & 0.0001982080229088_dp, 0.0001898032755459_dp, 0.0001804645282415_dp, 0.0001702869788356_dp, &
+         & 0.0001594024265992_dp, 0.0001479743910586_dp, 0.0001361914277589_dp, 0.0001242587665353_dp, &
+         & 1.1238798790857999e-04_dp, 1.0078460295659400e-04_dp, 8.9634529587989702e-05_dp, 7.9123782663614902e-05_dp, &
+         & 6.9306030227256303e-05_dp, 6.0284465542181899e-05_dp, 5.2105658585599498e-05_dp, 4.4788640889414901e-05_dp, &
+         & 3.8313193770456200e-05_dp, 3.2671947280959998e-05_dp, 2.7785492185738999e-05_dp, 2.3574948190052701e-05_dp, &
+         & 1.9968110479329199e-05_dp, 1.6872414826174500e-05_dp, 1.4263006977710500e-05_dp, 1.2041955066433000e-05_dp, &
+         & 1.0129858272645001e-05_dp, 8.4627465182229906e-06_dp, 6.9246046194848498e-06_dp, 5.4685110941754502e-06_dp, &
+         & 4.0992361101110896e-06_dp, 2.8636265283488201e-06_dp, 1.8242170130022800e-06_dp, 1.0319101573230699e-06_dp, &
+         & 5.1014773605473404e-07_dp, 2.7487290932271001e-07_dp, 0.0000000000000000e+00_dp, 2.8143403119074198e-07_dp, &
+         &  2.8701802223807201e-07_dp, 2.6346243542363400e-07_dp, -4.4408920985006301e-16_dp, -4.4408920985006301e-16_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & -4.4408920985006301e-16_dp, -4.4408920985006301e-16_dp, -4.4408920985006301e-16_dp, -4.4408920985006301e-16_dp, &
+         & -4.4408920985006301e-16_dp, -4.4408920985006301e-16_dp, 0.0000000000000000e+00_dp, -4.4408920985006301e-16_dp, &
+         & -4.4408920985006301e-16_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, -4.4408920985006301e-16_dp, &
+         & 0.0000000000000000_dp &
+         &]
+      case (4)
+         out = [&
+         & 4.0000000000000000_dp, 3.9999999990116701_dp, 3.9999999684505401_dp, 3.9999997613940801_dp, &
+         & 3.9999990002282102_dp, 3.9999969712056100_dp, 3.9999925305674302_dp, 3.9999840255555101_dp, &
+         & 3.9999692332073100_dp, 3.9999453193049002_dp, 3.9999088192577199_dp, 3.9998556420535101_dp, &
+         & 3.9997810977335901_dp, 3.9996799481561900_dp, 3.9995464801281799_dp, 3.9993745993293199_dp, &
+         & 3.9991579428445698_dp, 3.9988900075760201_dp, 3.9985642913398398_dp, 3.9981744430781001_dp, &
+         & 3.9977144183373499_dp, 3.9971786359902302_dp, 3.9965621321054998_dp, 3.9958607069032399_dp, &
+         & 3.9950710608634901_dp, 3.9941909162814500_dp, 3.9932191208755401_dp, 3.9921557304468700_dp, &
+         & 3.9910020680536298_dp, 3.9897607576907101_dp, 3.9884357310464198_dp, 3.9870322065319201_dp, &
+         & 3.9855566404357901_dp, 3.9840166507311001_dp, 3.9824209147429599_dp, 3.9807790425536500_dp, &
+         & 3.9791014286630402_dp, 3.9773990850159202_dp, 3.9756834590357899_dp, 3.9739662407489602_dp, &
+         & 3.9722591634261799_dp, 3.9705738023972299_dp, 3.9689213767960099_dp, 3.9673125589625600_dp, &
+         & 3.9657572960619598_dp, 3.9642646481807202_dp, 3.9628426467366999_dp, 3.9614981765006099_dp, &
+         & 3.9602368838927302_dp, 3.9590631135061898_dp, 3.9579798740411101_dp, 3.9569888340355899_dp, &
+         & 3.9560903469746100_dp, 3.9552835045708998_dp, 3.9545662162662398_dp, 3.9539353123194299_dp, &
+         & 3.9533866672473801_dp, 3.9529153398854100_dp, 3.9525157259445098_dp, 3.9521817186768500_dp, &
+         & 3.9519068731216498_dp, 3.9516845693937599_dp, 3.9515081705940100_dp, 3.9513711711592698_dp, &
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+         & 0.0119858421006414_dp, 0.0119831368968537_dp, 0.0119779573749752_dp, 0.0119689541068912_dp, &
+         & 0.0119544130706122_dp, 0.0119322522599554_dp, 0.0119000379498466_dp, 0.0118550228855954_dp, &
+         & 0.0117942081483133_dp, 0.0117144295609064_dp, 0.0116124681823351_dp, 0.0114851826883720_dp, &
+         & 0.0113296593257077_dp, 0.0111433728122181_dp, 0.0109243492881737_dp, 0.0106713205221101_dp, &
+         & 0.0103838573967643_dp, 0.0100624705789776_dp, 0.0097086674568678_dp, 0.0093249569956377_dp, &
+         & 0.0089147980021642_dp, 0.0084824910580354_dp, 0.0080330195456013_dp, 0.0075718500917956_dp, &
+         & 0.0071047067111953_dp, 0.0066373353683855_dp, 0.0061752762456844_dp, 0.0057236596383024_dp, &
+         & 0.0052870383597741_dp, 0.0048692653318909_dp, 0.0044734202927850_dp, 0.0041017849189169_dp, &
+         & 0.0037558616519773_dp, 0.0034364285306907_dp, 0.0031436205688449_dp, 0.0028770277396948_dp, &
+         & 0.0026358002758613_dp, 0.0024187534485494_dp, 0.0022244658352411_dp, 0.0020513669539945_dp, &
+         & 0.0018978118213062_dp, 0.0017621414195026_dp, 0.0016427292430814_dp, 0.0015380150119579_dp, &
+         & 0.0014465272413604_dp, 0.0013668966191247_dp, 0.0012978621163540_dp, 0.0012382715662556_dp, &
+         & 0.0011870782079257_dp, 0.0011433344724185_dp, 0.0011061840947448_dp, 0.0010748534494791_dp, &
+         & 0.0010486428194749_dp, 0.0010269181240456_dp, 0.0010091034691295_dp, 0.0009946747453951_dp, &
+         & 0.0009831543890839_dp, 0.0009741073273450_dp, 0.0009671380480958_dp, 0.0009618886618896_dp, &
+         & 0.0009580377612295_dp, 0.0009552998352391_dp, 0.0009534249683738_dp, 0.0009521985437977_dp, &
+         & 0.0009514406861975_dp, 0.0009510052137935_dp, 0.0009507779218856_dp, 0.0009506740849319_dp, &
+         & 0.0009506351344655_dp, 0.0009506245392177_dp, 0.0009506229753899_dp, 0.0009506228500973_dp, &
+         & 0.0009506205396539_dp, 0.0009506048861829_dp, 0.0009505473442353_dp, 0.0009503939728677_dp, &
+         & 0.0009500583961266_dp, 0.0009494160052061_dp, 0.0009482997536368_dp, 0.0009464979324796_dp, &
+         & 0.0009437543457524_dp, 0.0009397713208767_dp, 0.0009342159639822_dp, 0.0009267299826448_dp, &
+         & 0.0009169432285270_dp, 0.0009044908467706_dp, 0.0008890335588507_dp, 0.0008702801719123_dp, &
+         & 0.0008480109442077_dp, 0.0008221000096693_dp, 0.0007925347573248_dp, 0.0007594299598073_dp, &
+         & 0.0007230346226468_dp, 0.0006837300222839_dp, 0.0006420182027593_dp, 0.0005985012286542_dp, &
+         & 0.0005538525959707_dp, 0.0005087831862540_dp, 0.0004640048159801_dp, 0.0004201946546249_dp, &
+         & 0.0003779635538432_dp, 0.0003378307585229_dp, 0.0003002067131925_dp, 0.0002653848301746_dp, &
+         & 0.0002335421503532_dp, 0.0002047478026563_dp, 0.0001789772069176_dp, 0.0001561294066721_dp, &
+         & 1.3604508201758801e-04_dp, 1.1852364024456100e-04_dp, 1.0333880119084399e-04_dp, 9.0252624366016194e-05_dp, &
+         & 7.9027722246216597e-05_dp, 6.9436907693898306e-05_dp, 6.1269472682035100e-05_dp, 5.4334008558587499e-05_dp, &
+         & 4.8458704549947398e-05_dp, 4.3490593038875100e-05_dp, 3.9294848403148597e-05_dp, 3.5754352196271100e-05_dp, &
+         & 3.2769054087111699e-05_dp, 3.0254631401938101e-05_dp, 2.8140416448607700e-05_dp, 2.6367016998651801e-05_dp, &
+         & 2.4884150296333699e-05_dp, 2.3648974782464201e-05_dp, 2.2624896555356599e-05_dp, 2.1780664072767999e-05_dp, &
+         & 2.1089580204858300e-05_dp, 2.0528762372684598e-05_dp, 2.0078466154149799e-05_dp, 1.9721513240256199e-05_dp, &
+         & 1.9442846276973599e-05_dp, 1.9229204379023201e-05_dp, 1.9068895491081201e-05_dp, 1.8951638508291099e-05_dp, &
+         & 1.8868452743347999e-05_dp, 1.8811578219590799e-05_dp, 1.8774414153099900e-05_dp, 1.8751464877730902e-05_dp, &
+         & 1.8738283535046901e-05_dp, 1.8731405233118899e-05_dp, 1.8728263289524701e-05_dp, 1.8727084770020500e-05_dp, &
+         & 1.8726764196674799e-05_dp, 1.8726716881190000e-05_dp, 1.8726713054473299e-05_dp, 1.8726642069921698e-05_dp, &
+         & 1.8726161146620499e-05_dp, 1.8724393310076699e-05_dp, 1.8719681612822101e-05_dp, 1.8709373751146799e-05_dp, &
+         & 1.8689646658298601e-05_dp, 1.8655383936749801e-05_dp, 1.8600121383105500e-05_dp, 1.8516078220010002e-05_dp, &
+         & 1.8394293466617002e-05_dp, 1.8224887060824799e-05_dp, 1.7997462388397201e-05_dp, 1.7701659131397200e-05_dp, &
+         & 1.7327849976211998e-05_dp, 1.6867949938603699e-05_dp, 1.6316272453131800e-05_dp, 1.5670327783823298e-05_dp, &
+         & 1.4931431600917499e-05_dp, 1.4104998074415699e-05_dp, 1.3200454894501899e-05_dp, 1.2230836563986700e-05_dp, &
+         & 1.1212240467184400e-05_dp, 1.0163372154981000e-05_dp, 9.1052609141328793e-06_dp, 8.0608827643935399e-06_dp, &
+         & 7.0540669452334700e-06_dp, 6.1070592520806599e-06_dp, 5.2368147640535801e-06_dp, 4.4513805814716500e-06_dp, &
+         & 3.7487575474948200e-06_dp, 3.1201753101228700e-06_dp, 2.5572508546289900e-06_dp, 2.0592771470262501e-06_dp, &
+         & 1.6355719325567000e-06_dp, 1.2999200755814400e-06_dp, 1.0583945733166900e-06_dp, 8.9738547703888095e-07_dp, &
+         & 7.8423087357393197e-07_dp, 6.8410431586229905e-07_dp, 5.7662956765014396e-07_dp, 4.6002223497154702e-07_dp, &
+         & -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, &
+         & -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, -3.5527136788005001e-15_dp, -3.5527136788005001e-15_dp, &
+         & -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, &
+         & -2.6645352591003800e-15_dp, -3.5527136788005001e-15_dp, -2.6645352591003800e-15_dp, -3.5527136788005001e-15_dp, &
+         & -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, -3.5527136788005001e-15_dp, &
+         & -2.6645352591003800e-15_dp, -3.5527136788005001e-15_dp, -3.5527136788005001e-15_dp, -3.5527136788005001e-15_dp, &
+         & -3.5527136788005001e-15_dp, -3.5527136788005001e-15_dp, -2.6645352591003800e-15_dp, -3.5527136788005001e-15_dp, &
+         & -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, -3.5527136788005001e-15_dp, -2.6645352591003800e-15_dp, &
+         & -3.5527136788005001e-15_dp &
+         &]
+      case (5)
+         out = [&
+         & 5.0000000000000000_dp, 4.9999999986235304_dp, 4.9999999560602699_dp, 4.9999996676875504_dp, &
+         & 4.9999986075927403_dp, 4.9999957817216600_dp, 4.9999895971308002_dp, 4.9999777519754396_dp, &
+         & 4.9999571502590401_dp, 4.9999238446422201_dp, 4.9998730097839603_dp, 4.9997989477873404_dp, &
+         & 4.9996951263767304_dp, 4.9995542494691403_dp, 4.9993683588518003_dp, 4.9991289647672899_dp, &
+         & 4.9988272023650397_dp, 4.9984540102257800_dp, 4.9980003265248500_dp, 4.9974572978841900_dp, &
+         & 4.9968164955837304_dp, 4.9960701335643902_dp, 4.9952112825594099_dp, 4.9942340747349903_dp, &
+         & 4.9931338933997198_dp, 4.9919075426474402_dp, 4.9905533922210097_dp, 4.9890714934150804_dp, &
+         & 4.9874636624641600_dp, 4.9857335285784297_dp, 4.9838865445809901_dp, 4.9819299589563100_dp, &
+         & 4.9798727490251302_dp, 4.9777255158994302_dp, 4.9755003428238700_dp, 4.9732106194535701_dp, &
+         & 4.9708708355282303_dp, 4.9684963482511204_dp, 4.9661031284407500_dp, 4.9637074911654198_dp, &
+         & 4.9613258170701302_dp, 4.9589742709400104_dp, 4.9566685241983599_dp, 4.9544234879986000_dp, &
+         & 4.9522530633371096_dp, 4.9501699141902504_dp, 4.9481852690766202_dp, 4.9463087556834102_dp, &
+         & 4.9445482722962204_dp, 4.9429098987657198_dp, 4.9413978486625698_dp, 4.9400144631488700_dp, &
+         & 4.9387602459648399_dp, 4.9376339378275800_dp, 4.9366326274968797_dp, 4.9357518958116797_dp, &
+         & 4.9349859881660301_dp, 4.9343280101973397_dp, 4.9337701409215002_dp, 4.9333038571800403_dp, &
+         & 4.9329201630732804_dp, 4.9326098180414304_dp, 4.9323635574209002_dp, 4.9321722996369699_dp, &
+         & 4.9320273346852597_dp, 4.9319204891854600_dp, 4.9318442640428497_dp, 4.9317919416033602_dp, &
+         & 4.9317576601120496_dp, 4.9317364542569102_dp, 4.9317242615744696_dp, 4.9317178954830201_dp, &
+         & 4.9317149866690801_dp, 4.9317138954573103_dp, 4.9317135986198100_dp, 4.9317135548071596_dp, &
+         & 4.9317135490598698_dp, 4.9317134151547597_dp, 4.9317125079266004_dp, 4.9317091728392501_dp, &
+         & 4.9317002825624101_dp, 4.9316808256048601_dp, 4.9316435601219899_dp, 4.9315787454905102_dp, &
+         & 4.9314739619165300_dp, 4.9313140257020498_dp, 4.9310810049287701_dp, 4.9307543373231404_dp, &
+         & 4.9303110490467503_dp, 4.9297260702154899_dp, 4.9289726401868199_dp, 4.9280227931536604_dp, &
+         & 4.9268479124137601_dp, 4.9254193398921400_dp, 4.9237090261035297_dp, 4.9216902047507496_dp, &
+         & 4.9193380755416198_dp, 4.9166304785365798_dp, 4.9135485433699699_dp, 4.9100772969833999_dp, &
+         & 4.9062062140463700_dp, 4.9019296950131297_dp, 4.8972474577947001_dp, 4.8921648303495902_dp, &
+         & 4.8866929331666604_dp, 4.8808487426799196_dp, 4.8746550291534296_dp, 4.8681401655118997_dp, &
+         & 4.8613378069323296_dp, 4.8542864446723799_dp, 4.8470288414580898_dp, 4.8396113596162902_dp, &
+         & 4.8320831968169502_dp, 4.8244955475820603_dp, 4.8169007114297502_dp, 4.8093511704955398_dp, &
+         & 4.8018986605976703_dp, 4.7945932599368097_dp, 4.7874825189483801_dp, 4.7806106533215598_dp, &
+         & 4.7740178199675896_dp, 4.7677394929010397_dp, 4.7618059527455898_dp, 4.7562419000473000_dp, &
+         & 4.7510661989214498_dp, 4.7462917539026197_dp, 4.7419255193192003_dp, 4.7379686371560199_dp, &
+         & 4.7344166962650300_dp, 4.7312601029785402_dp, 4.7284845507057200_dp, 4.7260715739763004_dp, &
+         & 4.7239991706579803_dp, 4.7222424747369800_dp, 4.7207744611359397_dp, 4.7195666635685596_dp, &
+         & 4.7185898864136497_dp, 4.7178148920413499_dp, 4.7172130459421897_dp, 4.7167569033837902_dp, &
+         & 4.7164207231240898_dp, 4.7161808959044498_dp, 4.7160162779748802_dp, 4.7159084227010197_dp, &
+         & 4.7158417062894600_dp, 4.7158033467604303_dp, 4.7157833184057498_dp, 4.7157741670056899_dp, &
+         & 4.7157707339543800_dp, 4.7157698000769201_dp, 4.7157696622384098_dp, 4.7157696500698902_dp, &
+         & 4.7157694116337296_dp, 4.7157677961915399_dp, 4.7157618576230798_dp, 4.7157460273335001_dp, &
+         & 4.7157113818815999_dp, 4.7156450269050900_dp, 4.7155296200492902_dp, 4.7153430516248598_dp, &
+         & 4.7150582971956201_dp, 4.7146434513578601_dp, 4.7140619467560603_dp, 4.7132729570387397_dp, &
+         & 4.7122319771465797_dp, 4.7108915691971900_dp, 4.7092022574310999_dp, 4.7071135513397397_dp, &
+         & 4.7045750723080904_dp, 4.7015377559450000_dp, 4.6979550997804598_dp, 4.6937844241937903_dp, &
+         & 4.6889881132927798_dp, 4.6835348019833400_dp, 4.6774004756545997_dp, 4.6705694497871004_dp, &
+         & 4.6630351984349403_dp, 4.6548010030309497_dp, 4.6458803964229096_dp, 4.6362973815642796_dp, &
+         & 4.6260864098971402_dp, 4.6152921111412697_dp, 4.6039687737897896_dp, 4.5921795838353798_dp, &
+         & 4.5799956377215603_dp, 4.5674947537546000_dp, 4.5547601137074496_dp, 4.5418787726015202_dp, &
+         & 4.5289400792456496_dp, 4.5160340527561100_dp, 4.5032497608469999_dp, 4.4906737442130797_dp, &
+         & 4.4783885280306599_dp, 4.4664712568102303_dp, 4.4549924829634904_dp, 4.4440151329450996_dp, &
+         & 4.4335936681269397_dp, 4.4237734510338100_dp, 4.4145903215015299_dp, 4.4060703819025298_dp, &
+         & 4.3982299859089498_dp, 4.3910759213365402_dp, 4.3846057743698701_dp, 4.3788084598086696_dp, &
+         & 4.3736648997724101_dp, 4.3691488314419802_dp, 4.3652277228075498_dp, 4.3618637739763999_dp, &
+         & 4.3590149803567702_dp, 4.3566362330021997_dp, 4.3546804306384104_dp, 4.3530995774906804_dp, &
+         & 4.3518458410871803_dp, 4.3508725448320504_dp, 4.3501350714056803_dp, 4.3495916550148799_dp, &
+         & 4.3492040431978296_dp, 4.3489380122626704_dp, 4.3487637244323301_dp, 4.3486559192681202_dp, &
+         & 4.3485939368034296_dp, 4.3485615748622797_dp, 4.3485467880795898_dp, 4.3485412409911799_dp, &
+         & 4.3485397320433696_dp, 4.3485395093256400_dp, 4.3485394914609197_dp, 4.3485391617662197_dp, &
+         & 4.3485369280340302_dp, 4.3485287165669098_dp, 4.3485068275700600_dp, 4.3484589228162100_dp, &
+         & 4.3483671748081196_dp, 4.3482076096273001_dp, 4.3479496706076297_dp, 4.3475560242068498_dp, &
+         & 4.3469826230564301_dp, 4.3461790342415396_dp, 4.3450890334971204_dp, 4.3436514583205303_dp, &
+         & 4.3418013051409101_dp, 4.3394710478242597_dp, 4.3365921471377300_dp, 4.3330967135784304_dp, &
+         & 4.3289192794432996_dp, 4.3239986304368800_dp, 4.3182796427439101_dp, 4.3117150685845802_dp, &
+         & 4.3042672120571499_dp, 4.2959094377667002_dp, 4.2866274575149497_dp, 4.2764203453085301_dp, &
+         & 4.2653012381757396_dp, 4.2532976897025598_dp, 4.2404516546011797_dp, 4.2268190956351699_dp, &
+         & 4.2124692182908401_dp, 4.1974833529880300_dp, 4.1819535185245700_dp, 4.1659807129625097_dp, &
+         & 4.1496729884452304_dp, 4.1331433737847503_dp, 4.1165077126064702_dp, 4.0998824852061704_dp, &
+         & 4.0833826791942203_dp, 4.0671197679017697_dp, 4.0511998470616497_dp, 4.0357219702588800_dp, &
+         & 4.0207767129258798_dp, 4.0064449840414600_dp, 3.9927970948586302_dp, 3.9798920854356901_dp, &
+         & 3.9677773027728600_dp, 3.9564882190606800_dp, 3.9460484748502500_dp, 3.9364701296476499_dp, &
+         & 3.9277541012196000_dp, 3.9198907744371301_dp, 3.9128607604457901_dp, 3.9066357870356798_dp, &
+         & 3.9011797010582301_dp, 3.8964495634379999_dp, 3.8923968166822198_dp, 3.8889685038053199_dp, &
+         & 3.8861085163429498_dp, 3.8837588477763498_dp, 3.8818608274161699_dp, 3.8803563088227100_dp, &
+         & 3.8791887863903902_dp, 3.8783044139998899_dp, 3.8776529008060701_dp, 3.8771882613855499_dp, &
+         & 3.8768694006488000_dp, 3.8766605180809801_dp, 3.8765313208911900_dp, 3.8764570413308701_dp, &
+         & 3.8764182595442400_dp, 3.8764005395602998_dp, 3.8763938921396299_dp, 3.8763920838759800_dp, &
+         & 3.8763918169799099_dp, 3.8763917963943100_dp, 3.8763914267430799_dp, 3.8763889223002801_dp, &
+         & 3.8763797156834201_dp, 3.8763551740680100_dp, 3.8763014645560800_dp, 3.8761986014002701_dp, &
+         & 3.8760197120744802_dp, 3.8757305540363700_dp, 3.8752893081133499_dp, 3.8746466677598499_dp, &
+         & 3.8737462359537500_dp, 3.8725252332007098_dp, 3.8709155110073099_dp, 3.8688448553433998_dp, &
+         & 3.8662385542067699_dp, 3.8630211927112499_dp, 3.8591186285398398_dp, 3.8544600906507598_dp, &
+         & 3.8489803353972798_dp, 3.8426217873754398_dp, 3.8353365880008998_dp, 3.8270884736320099_dp, &
+         & 3.8178544074687499_dp, 3.8076258957438802_dp, 3.7964099289137399_dp, 3.7842295023849899_dp, &
+         & 3.7711236882053698_dp, 3.7571472482157899_dp, 3.7423697992697900_dp, 3.7268745609566900_dp, &
+         & 3.7107567344458201_dp, 3.6941215763110300_dp, 3.6770822424329799_dp, 3.6597574835988800_dp, &
+         & 3.6422692759470499_dp, 3.6247404661220100_dp, 3.6072925035318000_dp, 3.5900433213877401_dp, &
+         & 3.5731054154239299_dp, 3.5565841555626498_dp, 3.5405763524534302_dp, 3.5251690887072900_dp, &
+         & 3.5104388144405001_dp, 3.4964506987975601_dp, 3.4832582235193499_dp, 3.4709030011949999_dp, &
+         & 3.4594147992508000_dp, 3.4488117505483298_dp, 3.4391007322161200_dp, 3.4302778955742599_dp, &
+         & 3.4223293313383900_dp, 3.4152318553980399_dp, 3.4089539011374699_dp, 3.4034565043772500_dp, &
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+         & 0.4653363245069060_dp, 0.4645873692392350_dp, 0.4639943199356840_dp, 0.4635344911583180_dp, &
+         & 0.4631864039729960_dp, 0.4629300924987220_dp, 0.4627473625356920_dp, 0.4626219939561380_dp, &
+         & 0.4625398797239630_dp, 0.4624890961153700_dp, 0.4624599008596850_dp, 0.4624446583852940_dp, &
+         & 0.4624376939911600_dp, 0.4624350814094460_dp, 0.4624343707241540_dp, 0.4624342658285030_dp, &
+         & 0.4624342577706400_dp, 0.4624341135012950_dp, 0.4624331360555910_dp, 0.4624295428668410_dp, &
+         & 0.4624199647837190_dp, 0.4623990035801950_dp, 0.4623588611231520_dp, 0.4622890554171790_dp, &
+         & 0.4621762371841340_dp, 0.4620041188017230_dp, 0.4617535252262690_dp, 0.4614025738358950_dp, &
+         & 0.4609269868200410_dp, 0.4603005357030540_dp, 0.4594956127754950_dp, 0.4584839186626340_dp, &
+         & 0.4572372491523320_dp, 0.4557283580394860_dp, 0.4539318665629000_dp, 0.4518251845652890_dp, &
+         & 0.4493894044119330_dp, 0.4466101265614060_dp, 0.4434781759970230_dp, 0.4399901718184280_dp, &
+         & 0.4361489182147430_dp, 0.4319635935437690_dp, 0.4274497247687300_dp, 0.4226289462372860_dp, &
+         & 0.4175285537415720_dp, 0.4121808759398650_dp, 0.4066224946027160_dp, 0.4008933520234830_dp, &
+         & 0.3950357878476680_dp, 0.3890935483954480_dp, 0.3831108094624210_dp, 0.3771312490337340_dp, &
+         & 0.3711971999700060_dp, 0.3653489052431250_dp, 0.3596238904402130_dp, 0.3540564606631880_dp, &
+         & 0.3486773221496430_dp, 0.3435133232914430_dp, 0.3385873054311060_dp, 0.3339180509249600_dp, &
+         & 0.3295203144047560_dp, 0.3254049227842270_dp, 0.3215789301258690_dp, 0.3180458147611580_dp, &
+         & 0.3148057077994480_dp, 0.3118556441391640_dp, 0.3091898291109890_dp, 0.3067999157736920_dp, &
+         & 0.3046752895230870_dp, 0.3028033579741510_dp, 0.3011698449804740_dp, 0.2997590881408040_dp, &
+         & 0.2985543392157180_dp, 0.2975380665715890_dp, 0.2966922581422870_dp, 0.2959987225316270_dp, &
+         & 0.2954393848699060_dp, 0.2949965729974460_dp, 0.2946532885938730_dp, 0.2943934571187570_dp, &
+         & 0.2942021499790850_dp, 0.2940657722722260_dp, 0.2939722098191790_dp, 0.2939109300148880_dp, &
+         & 0.2938730322544390_dp, 0.2938512452818240_dp, 0.2938398706568520_dp, 0.2938346735283080_dp, &
+         & 0.2938327239110720_dp, 0.2938321935683940_dp, 0.2938321152909430_dp, 0.2938321092319460_dp, &
+         & 0.2938320001532160_dp, 0.2938312611291740_dp, 0.2938285444046430_dp, 0.2938213026607340_dp, &
+         & 0.2938054545159940_dp, 0.2937751043221420_dp, 0.2937223278944310_dp, 0.2936370347117040_dp, &
+         & 0.2935069158158100_dp, 0.2933174850475970_dp, 0.2930522192637540_dp, 0.2926928006658280_dp, &
+         & 0.2922194612402970_dp, 0.2916114255074630_dp, 0.2908474433377510_dp, 0.2899063996516410_dp, &
+         & 0.2887679826282530_dp, 0.2874133869794490_dp, 0.2858260243701200_dp, 0.2839922097042320_dp, &
+         & 0.2819017902649810_dp, 0.2795486850277800_dp, 0.2769313041271760_dp, 0.2740528234981170_dp, &
+         & 0.2709212969074080_dp, 0.2675495964556130_dp, 0.2639551824499950_dp, 0.2601597134672500_dp, &
+         & 0.2561885165451120_dp, 0.2520699449493020_dp, 0.2478346562274810_dp, 0.2435148459186070_dp, &
+         & 0.2391434722646210_dp, 0.2347535047874240_dp, 0.2303772250968670_dp, 0.2260456023881090_dp, &
+         & 0.2217877594363540_dp, 0.2176305381472060_dp, 0.2135981674241860_dp, 0.2097120306871800_dp, &
+         & 0.2059905260778680_dp, 0.2024490093315640_dp, 0.1990998074610380_dp, 0.1959522906706380_dp, &
+         & 0.1930129901181080_dp, 0.1902857500543120_dp, 0.1877719042787400_dp, 0.1854704685454850_dp, &
+         & 0.1833783423594620_dp, 0.1814905153662940_dp, 0.1798002751448500_dp, 0.1782994145733550_dp, &
+         & 0.1769784380016010_dp, 0.1758267661916990_dp, 0.1748329403787260_dp, 0.1739848258617850_dp, &
+         & 0.1732698152942880_dp, 0.1726750313461730_dp, 0.1721875277213450_dp, 0.1717944867055830_dp, &
+         & 0.1714834105771360_dp, 0.1712423034231440_dp, 0.1710598392569170_dp, 0.1709255119028490_dp, &
+         & 0.1708297619700620_dp, 0.1707640764131130_dp, 0.1707210566911100_dp, 0.1706944523683120_dp, &
+         & 0.1706791581041270_dp, 0.1706711732880260_dp, 0.1706675249979910_dp, 0.1706661564046580_dp, &
+         & 0.1706657841146730_dp, 0.1706657291654730_dp, 0.1706657248776960_dp, 0.1706656472403700_dp, &
+         & 0.1706651212364900_dp, 0.1706631875968940_dp, 0.1706580332721600_dp, 0.1706467534046010_dp, &
+         & 0.1706251520516290_dp, 0.1705875900678770_dp, 0.1705268878369010_dp, 0.1704342896881390_dp, &
+         & 0.1702994957647550_dp, 0.1701107657238360_dp, 0.1698550968475480_dp, 0.1695184768335690_dp, &
+         & 0.1690862086678260_dp, 0.1685433015813460_dp, 0.1678749182617670_dp, 0.1670668644350520_dp, &
+         & 0.1661061029599650_dp, 0.1649812710741030_dp, 0.1636831768282150_dp, 0.1622052494693160_dp, &
+         & 0.1605439189333700_dp, 0.1586989018969160_dp, 0.1566733760314720_dp, 0.1544740299974840_dp, &
+         & 0.1521109838761860_dp, 0.1495975825557410_dp, 0.1469500723412860_dp, 0.1441871780126440_dp, &
+         & 0.1413296030614960_dp, 0.1383994794293450_dp, 0.1354197944990660_dp, 0.1324138223782230_dp, &
+         & 0.1294045838962100_dp, 0.1264143556421340_dp, 0.1234642433254540_dp, 0.1205738293020780_dp, &
+         & 0.1177608987877510_dp, 0.1150412444941910_dp, 0.1124285454629130_dp, 0.1099343128956780_dp, &
+         & 0.1075678938265300_dp, 0.1053365224892360_dp, 0.1032454090770730_dp, 0.1012978561025980_dp, &
+         & 0.0994953935623961_dp, 0.0978379254210751_dp, 0.0963238813944347_dp, 0.0949503695035707_dp, &
+         & 0.0937133262872774_dp, 0.0926076628230890_dp, 0.0916274057645063_dp, 0.0907658334200816_dp, &
+         & 0.0900156074626457_dp, 0.0893689011615395_dp, 0.0888175250881327_dp, 0.0883530510768065_dp, &
+         & 0.0879669348635144_dp, 0.0876506373149724_dp, 0.0873957435565238_dp, 0.0871940786648224_dp, &
+         & 0.0870378179766202_dp, 0.0869195895398782_dp, 0.0868325658561240_dp, 0.0867705418802602_dp, &
+         & 0.0867279962871361_dp, 0.0867001332949497_dp, 0.0866829028442355_dp, 0.0866729976373195_dp, &
+         & 0.0866678263981582_dp, 0.0866654636554394_dp, 0.0866645773154087_dp, 0.0866643362100268_dp, &
+         & 0.0866643006234016_dp, 0.0866642978228906_dp, 0.0866642468122389_dp, 0.0866639012079595_dp, &
+         & 0.0866626307360283_dp, 0.0866592441700824_dp, 0.0866518329855923_dp, 0.0866376405706237_dp, &
+         & 0.0866129626266732_dp, 0.0865730839846766_dp, 0.0865122565655696_dp, 0.0864237225685649_dp, &
+         & 0.0862997860919155_dp, 0.0861319351944729_dp, 0.0859110148173912_dp, 0.0856274489620779_dp, &
+         & 0.0852715080726192_dp, 0.0848336147771027_dp, 0.0843046781606231_dp, 0.0836764438100959_dp, &
+         & 0.0829418442889240_dp, 0.0820953328047063_dp, 0.0811331819539660_dp, 0.0800537298319055_dp, &
+         & 0.0788575576368586_dp, 0.0775475861758546_dp, 0.0761290832083983_dp, 0.0746095789952781_dp, &
+         & 0.0729986932563520_dp, 0.0713078824202462_dp, 0.0695501210091773_dp, 0.0677395347681911_dp, &
+         & 0.0658910053950930_dp, 0.0640197673192988_dp, 0.0621410159749827_dp, 0.0602695446475270_dp, &
+         & 0.0584194235973063_dp, 0.0566037311994352_dp, 0.0548343427026765_dp, 0.0531217782760933_dp, &
+         & 0.0514751085651781_dp, 0.0499019132077638_dp, 0.0484082857538555_dp, 0.0469988771994361_dp, &
+         & 0.0456769698241839_dp, 0.0444445731141663_dp, 0.0433025341244084_dp, 0.0422506555554421_dp, &
+         & 0.0412878159499996_dp, 0.0404120876443850_dp, 0.0396208493373065_dp, 0.0389108912919971_dp, &
+         & 0.0382785122103426_dp, 0.0377196076721855_dp, 0.0372297506963957_dp, 0.0368042654428109_dp, &
+         & 0.0364382953366622_dp, 0.0361268669705259_dp, 0.0358649510407103_dp, 0.0356475213306444_dp, &
+         & 0.0354696123938210_dp, 0.0353263761500280_dp, 0.0352131371317403_dp, 0.0351254456460994_dp, &
+         & 0.0350591276959733_dp, 0.0350103301710982_dp, 0.0349755596115422_dp, 0.0349517127836769_dp, &
+         & 0.0349360974042261_dp, 0.0349264415969790_dp, 0.0349208910506311_dp, 0.0349179933346297_dp, &
+         & 0.0349166693829357_dp, 0.0349161727292060_dp, 0.0349160376279416_dp, 0.0349160176872978_dp, &
+         & 0.0349160161041642_dp, 0.0349159870912548_dp, 0.0349157905248729_dp, 0.0349150679315580_dp, &
+         & 0.0349131418052373_dp, 0.0349089267388338_dp, 0.0349008552021637_dp, 0.0348868212973077_dp, &
+         & 0.0348641456625396_dp, 0.0348295644910888_dp, 0.0347792453291982_dp, 0.0347088318551974_dp, &
+         & 0.0346135191473147_dp, 0.0344881599634137_dp, 0.0343274012429431_dp, 0.0341258484033125_dp, &
+         & 0.0338782530933264_dp, 0.0335797180001256_dp, 0.0332259102581247_dp, 0.0328132732033843_dp, &
+         & 0.0323392249055976_dp, 0.0318023313385449_dp, 0.0312024424161015_dp, 0.0305407805367004_dp, &
+         & 0.0298199737357407_dp, 0.0290440288973262_dp, 0.0282182444473840_dp, 0.0273490661615918_dp, &
+         & 0.0264438937438785_dp, 0.0255108492442417_dp, 0.0245585208377239_dp, 0.0235956967453754_dp, &
+         & 0.0226311040549207_dp, 0.0216731659571927_dp, 0.0207297886574116_dp, 0.0198081862558590_dp, &
+         & 0.0189147485832883_dp, 0.0180549536768249_dp, 0.0172333235884086_dp, 0.0164534197377355_dp, &
+         & 0.0157178721772366_dp, 0.0150284359856530_dp, 0.0143860675447396_dp, 0.0137910136158936_dp, &
+         & 0.0132429067876512_dp, 0.0127408618351019_dp, 0.0122835686442908_dp, 0.0118693784841648_dp, &
+         & 0.0114963814820523_dp, 0.0111624741408551_dp, 0.0108654165937327_dp, 0.0106028799896771_dp, &
+         & 0.0103724849150000_dp, 0.0101718320856579_dp, 0.0099985267105032_dp, 0.0098501979686985_dp, &
+         & 0.0097245149881049_dp, 0.0096192005779665_dp, 0.0095320437705553_dp, 0.0094609119779161_dp, &
+         & 0.0094037632826200_dp, 0.0093586590841115_dp, 0.0093237770258527_dp, 0.0092974238638250_dp, &
+         & 0.0092780477139653_dp, 0.0092642489570043_dp, 0.0092547889958050_dp, 0.0092485960533928_dp, &
+         & 0.0092447672780782_dp, 0.0092425665673206_dp, 0.0092414177299140_dp, 0.0092408928467877_dp, &
+         & 0.0092406959498703_dp, 0.0092406423895497_dp, 0.0092406344841933_dp, 0.0092406338508288_dp, &
+         & 0.0092406221711752_dp, 0.0092405430400824_dp, 0.0092402521498913_dp, 0.0092394767747779_dp, &
+         & 0.0092377800443124_dp, 0.0092345312118010_dp, 0.0092288833711249_dp, 0.0092197600761743_dp, &
+         & 0.0092058523003224_dp, 0.0091856271092308_dp, 0.0091573492597297_dp, 0.0091191166342988_dp, &
+         & 0.0090689099357686_dp, 0.0090046563666766_dp, 0.0089243061056399_dp, 0.0088259193012012_dp, &
+         & 0.0087077601072858_dp, 0.0085683931027338_dp, 0.0084067764236879_dp, 0.0082223452626700_dp, &
+         & 0.0080150792087297_dp, 0.0077855473504238_dp, 0.0075349261734434_dp, 0.0072649870334018_dp, &
+         & 0.0069780522322578_dp, 0.0066769212754041_dp, 0.0063647714574939_dp, 0.0060450392183444_dp, &
+         & 0.0057212903981334_dp, 0.0053970883287642_dp, 0.0050758684747700_dp, 0.0047608271741284_dp, &
+         & 0.0044548302269378_dp, 0.0041603450818899_dp, 0.0038793984491043_dp, 0.0036135593424582_dp, &
+         & 0.0033639456585437_dp, 0.0031312504724053_dp, 0.0029157827359843_dp, 0.0027175166970945_dp, &
+         & 0.0025361453132229_dp, 0.0023711345465660_dp, 0.0022217765915711_dp, 0.0020872401202805_dp, &
+         & 0.0019666152292297_dp, 0.0018589509975300_dp, 0.0017632848579874_dp, 0.0016786644290505_dp, &
+         & 0.0016041632949273_dp, 0.0015388921654207_dp, 0.0014820063751548_dp, 0.0014327102085909_dp, &
+         & 0.0013902584457144_dp, 0.0013539556899982_dp, 0.0013231542195946_dp, 0.0012972510872533_dp, &
+         & 0.0012756850569469_dp, 0.0012579337586045_dp, 0.0012435113031613_dp, 0.0012319664801375_dp, &
+         & 0.0012228815832200_dp, 0.0012158718501709_dp, 0.0012105854316875_dp, 0.0012067037515715_dp, &
+         & 0.0012039420713830_dp, 0.0012020500376000_dp, 0.0012008119863474_dp, 0.0012000467866153_dp, &
+         & 0.0011996070411362_dp, 0.0011993775029957_dp, 0.0011992726362626_dp, 0.0011992332989221_dp, &
+         & 0.0011992225983723_dp, 0.0011992210190117_dp, 0.0011992208912899_dp, 0.0011992185208367_dp, &
+         & 0.0011992024613843_dp, 0.0011991434263345_dp, 0.0011989860722359_dp, 0.0011986417652805_dp, &
+         & 0.0011979826006954_dp, 0.0011968370098101_dp, 0.0011949873137942_dp, 0.0011921696000954_dp, &
+         & 0.0011880763077601_dp, 0.0011823618705567_dp, 0.0011746516969486_dp, 0.0011645546177670_dp, &
+         & 0.0011516787175863_dp, 0.0011356501817321_dp, 0.0011161344472246_dp, 0.0010928585832612_dp, &
+         & 0.0010656334644077_dp, 0.0010343739929803_dp, 0.0009991154111146_dp, 0.0009600237032537_dp, &
+         & 0.0009173983277559_dp, 0.0008716661802994_dp, 0.0008233667818205_dp, 0.0007731299395344_dp, &
+         & 0.0007216480416314_dp, 0.0006696453748090_dp, 0.0006178464488817_dp, 0.0005669446926424_dp, &
+         & 0.0005175726218081_dp, 0.0004702752398611_dp, 0.0004254899269416_dp, 0.0003835366708245_dp, &
+         & 0.0003446201699173_dp, 0.0003088412924237_dp, 0.0002762130826905_dp, 0.0002466770366505_dp, &
+         & 0.0002201172060019_dp, 0.0001963714731943_dp, 0.0001752406108819_dp, 0.0001564965875556_dp, &
+         & 0.0001398920952278_dp, 0.0001251731978762_dp, 0.0001120990599013_dp, 0.0001004969200133_dp, &
+         & 9.0144946054415698e-05_dp, 8.0825731425093696e-05_dp, 7.2385357287707604e-05_dp, 6.4698771105931003e-05_dp, &
+         & 5.7665932187589399e-05_dp, 5.1208114537182298e-05_dp, 4.5259529396268801e-05_dp, 3.9833732954797099e-05_dp, &
+         & 3.4816420780181498e-05_dp, 3.0199570274724900e-05_dp, 2.5968889133309899e-05_dp, 2.2113086587616200e-05_dp, &
+         & 1.8622967847825602e-05_dp, 1.5490392782702101e-05_dp, 1.2706475214230300e-05_dp, 1.0259570748516501e-05_dp, &
+         & 8.1353464169708900e-06_dp, 6.3175473439258701e-06_dp, 4.7877974580501401e-06_dp, 3.5254015360308699e-06_dp, &
+         & 2.5074549769854600e-06_dp, 1.7091481714359700e-06_dp, 1.1041774738984600e-06_dp, 6.6521849362288797e-07_dp, &
+         &  3.6444190953943700e-07_dp, -6.2172489379008798e-15_dp, -6.2172489379008798e-15_dp, -6.2172489379008798e-15_dp, &
+         & -6.2172489379008798e-15_dp &
+         &]
+      case (6)
+         out = [&
+         & 6.0000000000000000_dp, 5.9999999981439798_dp, 5.9999999407520699_dp, 5.9999995519129001_dp, &
+         & 5.9999981224905898_dp, 5.9999943121111903_dp, 5.9999859728626204_dp, 5.9999700009528496_dp, &
+         & 5.9999422217521596_dp, 5.9998973126633697_dp, 5.9998287671495003_dp, 5.9997289020336702_dp, &
+         & 5.9995889089096899_dp, 5.9993989492028401_dp, 5.9991482911389600_dp, 5.9988254856551197_dp, &
+         & 5.9984185771524103_dp, 5.9979153439830704_dp, 5.9973035627053699_dp, 5.9965712894511300_dp, &
+         & 5.9957071512448001_dp, 5.9947006397961298_dp, 5.9935424001619300_dp, 5.9922245067305697_dp, &
+         & 5.9907407192192998_dp, 5.9890867117765296_dp, 5.9872602688396297_dp, 5.9852614420985804_dp, &
+         & 5.9830926637474597_dp, 5.9807588121544804_dp, 5.9782672271359001_dp, 5.9756276731636397_dp, &
+         & 5.9728522500538697_dp, 5.9699552519526700_dp, 5.9669529767286598_dp, 5.9638634891710600_dp, &
+         & 5.9607063426381703_dp, 5.9575022649684799_dp, 5.9542728155128302_dp, 5.9510400210321697_dp, &
+         & 5.9478259988944497_dp, 5.9446525764655904_dp, 5.9415409157990098_dp, 5.9385111526733798_dp, &
+         & 5.9355820587039796_dp, 5.9327707346685097_dp, 5.9300923423589396_dp, 5.9275598812252497_dp, &
+         & 5.9251840148481696_dp, 5.9229729509073197_dp, 5.9209323768419804_dp, 5.9190654518816901_dp, &
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+         & 0.0010923704649128_dp, 0.0010916196259618_dp, 0.0010911881504079_dp, 0.0010909629341480_dp, &
+         & 0.0010908600430488_dp, 0.0010908214469971_dp, 0.0010908109481189_dp, 0.0010908093985140_dp, &
+         & 0.0010908092754880_dp, 0.0010908070208719_dp, 0.0010907917456171_dp, 0.0010907355936682_dp, &
+         & 0.0010905859247412_dp, 0.0010902584365562_dp, 0.0010896314820226_dp, 0.0010885419051148_dp, &
+         & 0.0010867827434025_dp, 0.0010841031668996_dp, 0.0010802110295094_dp, 0.0010747783840355_dp, &
+         & 0.0010674502367900_dp, 0.0010578566770150_dp, 0.0010456282992051_dp, 0.0010304145433064_dp, &
+         & 0.0010119042234278_dp, 0.0009898471326268_dp, 0.0009640752494304_dp, 0.0009345217938685_dp, &
+         & 0.0009012362545668_dp, 0.0008643935925585_dp, 0.0008242961578411_dp, 0.0007813674291794_dp, &
+         & 0.0007361374575137_dp, 0.0006892207627462_dp, 0.0006412882731057_dp, 0.0005930355688939_dp, &
+         & 0.0005451500880254_dp, 0.0004982800144973_dp, 0.0004530073107585_dp, 0.0004098268261661_dp, &
+         & 0.0003691326911905_dp, 0.0003312123725845_dp, 0.0002962479193300_dp, 0.0002643232089268_dp, &
+         & 0.0002354355572614_dp, 0.0002095099690944_dp, 0.0001864145276294_dp, 0.0001659757670778_dp, &
+         & 0.0001479931481434_dp, 0.0001322519061224_dp, 0.0001185336748817_dp, 0.0001066245535597_dp, &
+         & 9.6320684514594705e-05_dp, 8.7431783436287005e-05_dp, 7.9783209330663905e-05_dp, 7.3217040115203206e-05_dp, &
+         & 6.7592378051095596e-05_dp, 6.2821406186408497e-05_dp, 5.8726348083126802e-05_dp, 5.5233566911283601e-05_dp, &
+         & 5.2248226981355097e-05_dp, 4.9782831250233501e-05_dp, 4.7703510589691702e-05_dp, 4.5958823141845100e-05_dp, &
+         & 4.4503133854512100e-05_dp, 4.3296521671010202e-05_dp, 4.2294222177829999e-05_dp, 4.1533627038958798e-05_dp, &
+         & 4.0923149230209801e-05_dp, 4.0443235566733897e-05_dp, 4.0073155730624401e-05_dp, 3.9794027355100097e-05_dp, &
+         & 3.9588958200553700e-05_dp, 3.9442953998047903e-05_dp, 3.9342856744895003e-05_dp, 3.9277320947661599e-05_dp, &
+         & 3.9236798755837299e-05_dp, 3.9213505235835603e-05_dp, 3.9201344629979901e-05_dp, 3.9195788500201398e-05_dp, &
+         & 3.9193704228779298e-05_dp, 3.9193137259196897e-05_dp, 3.9193053575914398e-05_dp, 3.9193046970531498e-05_dp, &
+         & 3.9192926448272699e-05_dp, 3.9192109878349902e-05_dp, 3.9189108050230500e-05_dp, 3.9181106047614398e-05_dp, &
+         & 3.9163592741253701e-05_dp, 3.9130048842928000e-05_dp, 3.9071706357418600e-05_dp, 3.8977395012018703e-05_dp, &
+         & 3.8833499773183198e-05_dp, 3.8624067554948697e-05_dp, 3.8331114466494398e-05_dp, 3.7935187646276300e-05_dp, &
+         & 3.7416222271602398e-05_dp, 3.6754701841168503e-05_dp, 3.5933062912718603e-05_dp, 3.4937088605246900e-05_dp, &
+         & 3.3755408068714098e-05_dp, 3.2434753610033299e-05_dp, 3.0947182324325702e-05_dp, 2.9286542550188699e-05_dp, &
+         & 2.7472599786193500e-05_dp, 2.5530806635032401e-05_dp, 2.3536460141748698e-05_dp, 2.1501481480612500e-05_dp, &
+         & 1.9442844830130899e-05_dp, 1.7399181317934199e-05_dp, 1.5455519068119399e-05_dp, 1.3602680652979899e-05_dp, &
+         & 1.1854494713858800e-05_dp, 1.0258360863879500e-05_dp, 8.8189439777508500e-06_dp, 7.5154224123963297e-06_dp, &
+         & 6.3630748448062499e-06_dp, 5.3837868696504600e-06_dp, 4.5291613792741697e-06_dp, 3.7841831677099002e-06_dp, &
+         & 3.1922260319561200e-06_dp, 2.6744132508582699e-06_dp, 2.2309076195270399e-06_dp, 1.8810089166265700e-06_dp, &
+         & 1.5789937846122400e-06_dp, 1.3487042620496900e-06_dp, 1.1722791031232300e-06_dp, 1.0140731694363600e-06_dp, &
+         & 8.6622585104834105e-07_dp, 7.7557970801223096e-07_dp, 6.8011544129831204e-07_dp, 5.8028099214624305e-07_dp, &
+         & 5.1622050367683404e-07_dp, 4.9367306331760098e-07_dp, 4.7006624548373597e-07_dp, 4.4054179859642799e-07_dp, &
+         & 4.0173544491040000e-07_dp, 3.4973888496381299e-07_dp, 3.7522370543996399e-07_dp, 3.8511200006752201e-07_dp, &
+         & 3.8816848135780901e-07_dp, 3.8636468424613202e-07_dp, 3.8144198644118898e-07_dp, 3.7500008254198699e-07_dp, &
+         & 3.6829251914838302e-07_dp, 3.6213737786283699e-07_dp, 3.5695636579902199e-07_dp, 3.5287749433621198e-07_dp, &
+         & 3.4984548946681602e-07_dp, 3.4771094892249700e-07_dp, 3.4629082090731302e-07_dp, 3.4540436644192601e-07_dp, &
+         & 3.4489204825405300e-07_dp, 3.4462381215405500e-07_dp, 3.4450108277184199e-07_dp, 3.4445501562174698e-07_dp, &
+         & 3.4444248164788902e-07_dp, 3.4444063157223999e-07_dp, 3.4444052676718700e-07_dp, 3.4443914120885200e-07_dp, &
+         & 3.4442974605752900e-07_dp, 3.4439511420458799e-07_dp, 3.4430207129787499e-07_dp, 3.4409477667196597e-07_dp, &
+         & 3.4368385648519998e-07_dp, 3.4292650141765101e-07_dp, 3.4159115180898399e-07_dp, 3.3930130705073198e-07_dp, &
+         & 3.3545794853040402e-07_dp, 3.2914801462169402e-07_dp, 3.1904615394040500e-07_dp, 3.0325783395568399e-07_dp, &
+         & 2.7857143969356499e-07_dp, 2.5357873045805898e-07_dp, 2.7559624449224900e-07_dp, 2.8557189413192001e-07_dp, &
+         &  2.8265002427474402e-07_dp, 2.6142159104125503e-07_dp, -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, &
+         & -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, &
+         & -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, &
+         & -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, &
+         & -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, &
+         & -2.6645352591003800e-15_dp, -3.5527136788005001e-15_dp, -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, &
+         & -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, &
+         & -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, -3.5527136788005001e-15_dp, &
+         & -3.5527136788005001e-15_dp, -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, &
+         & -3.5527136788005001e-15_dp, -2.6645352591003800e-15_dp, -3.5527136788005001e-15_dp, -1.7763568394002501e-15_dp, &
+         & -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, -1.7763568394002501e-15_dp, -2.6645352591003800e-15_dp, &
+         & -3.5527136788005001e-15_dp, -3.5527136788005001e-15_dp, -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, &
+         & -1.7763568394002501e-15_dp, -1.7763568394002501e-15_dp, -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, &
+         & -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, -2.6645352591003800e-15_dp, -3.5527136788005001e-15_dp, &
+         & -2.6645352591003800e-15_dp &
+         &]
+      case (7)
+         out = [&
+         & 7.0000000000000000_dp, 6.9999999976087697_dp, 6.9999999236671799_dp, 6.9999994227012801_dp, &
+         & 6.9999975810868102_dp, 6.9999926719355203_dp, 6.9999819279554796_dp, 6.9999613503292197_dp, &
+         & 6.9999255605969903_dp, 6.9998677012661998_dp, 6.9997793894297997_dp, 6.9996507261106196_dp, &
+         & 6.9994703624027999_dp, 6.9992256218085904_dp, 6.9989026765197098_dp, 6.9984867738179002_dp, &
+         & 6.9979625073159699_dp, 6.9973141264687300_dp, 6.9965258766856504_dp, 6.9955823614991104_dp, &
+         & 6.9944689175984402_dp, 6.9931719931380796_dp, 6.9916795195674899_dp, 6.9899812673035102_dp, &
+         & 6.9880691758623996_dp, 6.9859376495737200_dp, 6.9835838106983701_dp, 6.9810077026531703_dp, &
+         & 6.9782124370909600_dp, 6.9752042797854603_dp, 6.9719926716094998_dp, 6.9685901823581702_dp, &
+         & 6.9650123967333304_dp, 6.9612777334477700_dp, 6.9574072000907501_dp, 6.9534240880819098_dp, &
+         & 6.9493536136784799_dp, 6.9452225125384901_dp, 6.9410585967240799_dp, 6.9368902841999596_dp, &
+         & 6.9327461117907596_dp, 6.9286542431674496_dp, 6.9246419837037800_dp, 6.9207353139638697_dp, &
+         & 6.9169584531464601_dp, 6.9133334630334398_dp, 6.9098799018945600_dp, 6.9066145364248204_dp, &
+         & 6.9035511181828202_dp, 6.9007002292119699_dp, 6.8980691996198198_dp, 6.8956620979254799_dp, &
+         & 6.8934797930199796_dp, 6.8915200846780396_dp, 6.8897778977660602_dp, 6.8882455336583801_dp, &
+         & 6.8869129709460699_dp, 6.8857682063349603_dp, 6.8847976257116903_dp, 6.8839863947289297_dp, &
+         & 6.8833188579367901_dp, 6.8827789354700704_dp, 6.8823505065877999_dp, 6.8820177699381002_dp, &
+         & 6.8817655712695904_dp, 6.8815796904012698_dp, 6.8814470805642696_dp, 6.8813560547018797_dp, &
+         & 6.8812964149172702_dp, 6.8812595229464604_dp, 6.8812383112623099_dp, 6.8812272361366098_dp, &
+         & 6.8812221756569398_dp, 6.8812202772699003_dp, 6.8812197608601000_dp, 6.8812196846390004_dp, &
+         & 6.8812196746404002_dp, 6.8812194416849701_dp, 6.8812178633752499_dp, 6.8812120613061802_dp, &
+         & 6.8811965948469096_dp, 6.8811627454918902_dp, 6.8810979146116802_dp, 6.8809851565303601_dp, &
+         & 6.8808028648187998_dp, 6.8805246251123302_dp, 6.8801192427887097_dp, 6.8795509486478403_dp, &
+         & 6.8787797804976698_dp, 6.8777621334530599_dp, 6.8764514669666497_dp, 6.8747991522821899_dp, &
+         & 6.8727554402478503_dp, 6.8702705263241599_dp, 6.8672956871975304_dp, 6.8637844616497699_dp, &
+         & 6.8596938471832800_dp, 6.8549854832858701_dp, 6.8496267920598601_dp, 6.8435920471784097_dp, &
+         & 6.8368633427461498_dp, 6.8294314346630296_dp, 6.8212964286025803_dp, 6.8124682908483001_dp, &
+         & 6.8029671611317699_dp, 6.7928234504197498_dp, 6.7820777113899497_dp, 6.7707802751172999_dp, &
+         & 6.7589906541540303_dp, 6.7467767194993398_dp, 6.7342136665800396_dp, 6.7213827928832099_dp, &
+         & 6.7083701168392400_dp, 6.6952648735048097_dp, 6.6821579271587801_dp, 6.6691401438224904_dp, &
+         & 6.6563007678041703_dp, 6.6437258456385404_dp, 6.6314967383744596_dp, 6.6196887592889304_dp, &
+         & 6.6083699690839399_dp, 6.5976001547972896_dp, 6.5874300123745497_dp, 6.5779005464177898_dp, &
+         & 6.5690426943102604_dp, 6.5608771759086704_dp, 6.5534145644303603_dp, 6.5466555691134802_dp, &
+         & 6.5405915157238699_dp, 6.5352050070213998_dp, 6.5304707418659396_dp, 6.5263564687238897_dp, &
+         & 6.5228240469255496_dp, 6.5198305871322004_dp, 6.5173296411271497_dp, 6.5152724102895201_dp, &
+         & 6.5136089419908698_dp, 6.5122892837207198_dp, 6.5112645660348898_dp, 6.5104879874464103_dp, &
+         & 6.5099156771348499_dp, 6.5095074147967802_dp, 6.5092271910252597_dp, 6.5090435961902200_dp, &
+         & 6.5089300307639100_dp, 6.5088647352504401_dp, 6.5088306431727201_dp, 6.5088150657789399_dp, &
+         & 6.5088092220892504_dp, 6.5088076324572199_dp, 6.5088073978306200_dp, 6.5088073771175496_dp, &
+         & 6.5088069712551899_dp, 6.5088042214747004_dp, 6.5087941129417999_dp, 6.5087671669285001_dp, &
+         & 6.5087081943297198_dp, 6.5085952474377002_dp, 6.5083988089676996_dp, 6.5080812507508199_dp, &
+         & 6.5075965870234702_dp, 6.5068905390313798_dp, 6.5059009189244703_dp, 6.5045583318618796_dp, &
+         & 6.5027871860995896_dp, 6.5005069918321503_dp, 6.4976339209391600_dp, 6.4940825917675600_dp, &
+         & 6.4897680358600498_dp, 6.4846077972789899_dp, 6.4785241099988902_dp, 6.4714460948387504_dp, &
+         & 6.4633119146531097_dp, 6.4540708250763901_dp, 6.4436850581283904_dp, 6.4321314775946696_dp, &
+         & 6.4194029484964403_dp, 6.4055093683874400_dp, 6.3904783158646197_dp, 6.3743552816690601_dp, &
+         & 6.3572034600366898_dp, 6.3391030922574698_dp, 6.3201503701802197_dp, 6.3004559238641598_dp, &
+         & 6.2801429337368697_dp, 6.2593449223823203_dp, 6.2382032933955003_dp, 6.2168646937115604_dp, &
+         & 6.1954782808421198_dp, 6.1741929772836297_dp, 6.1531547911405600_dp, 6.1325042752196302_dp, &
+         & 6.1123741872622803_dp, 6.0928874025186897_dp, 6.0741551174982700_dp, 6.0562753713630704_dp, &
+         & 6.0393318998137202_dp, 6.0233933259956203_dp, 6.0085126842399301_dp, 5.9947272654487103_dp, &
+         & 5.9820587675491703_dp, 5.9705137304574398_dp, 5.9600842321065901_dp, 5.9507488199751997_dp, &
+         & 5.9424736508900402_dp, 5.9352138104068599_dp, 5.9289147816139796_dp, 5.9235140316591401_dp, &
+         & 5.9189426826679199_dp, 5.9151272320833099_dp, 5.9119912859646497_dp, 5.9094572676407298_dp, &
+         & 5.9074480635463598_dp, 5.9058885683103002_dp, 5.9047070924064204_dp, 5.9038365980775298_dp, &
+         & 5.9032157328731900_dp, 5.9027896350050604_dp, 5.9025104907263497_dp, 5.9023378309117502_dp, &
+         & 5.9022385617052304_dp, 5.9021867322145596_dp, 5.9021630504312599_dp, 5.9021541665021804_dp, &
+         & 5.9021517498510301_dp, 5.9021513931581300_dp, 5.9021513645469499_dp, 5.9021508365254203_dp, &
+         & 5.9021472590992801_dp, 5.9021341080634100_dp, 5.9020990519310699_dp, 5.9020223309249404_dp, &
+         & 5.9018753952034304_dp, 5.9016198545497902_dp, 5.9012067840514497_dp, 5.9005764214774601_dp, &
+         & 5.8996582821890602_dp, 5.8983717065440899_dp, 5.8966268429386304_dp, 5.8943260569689500_dp, &
+         & 5.8913657438588700_dp, 5.8876385075391200_dp, 5.8830356559464096_dp, 5.8774499486983904_dp, &
+         & 5.8707785208556302_dp, 5.8629258956398100_dp, 5.8538069904116696_dp, 5.8433500146017803_dp, &
+         & 5.8314991562667302_dp, 5.8182169560544796_dp, 5.8034862739967599_dp, 5.7873117658807596_dp, &
+         & 5.7697208018877504_dp, 5.7507637802859204_dp, 5.7305138124239097_dp, 5.7090657809116196_dp, &
+         & 5.6865347991997401_dp, 5.6630541260718896_dp, 5.6387726110880800_dp, 5.6138517651569799_dp, &
+         & 5.5884625629008600_dp, 5.5627820895564604_dp, 5.5369901446758201_dp, 5.5112659083233204_dp, &
+         & 5.4857847638200496_dp, 5.4607153557653803_dp, 5.4362169446635100_dp, 5.4124371015828103_dp, &
+         & 5.3895097692660299_dp, 5.3675537010562904_dp, 5.3466712765813300_dp, 5.3269476836274796_dp, &
+         & 5.3084504489684203_dp, 5.2912292967588401_dp, 5.2753163109564998_dp, 5.2607263775151996_dp, &
+         & 5.2474578822171303_dp, 5.2354936404647097_dp, 5.2248020357082003_dp, 5.2153383431400799_dp, &
+         & 5.2070462146566197_dp, 5.1998592998027497_dp, 5.1937029755147304_dp, 5.1884961550845601_dp, &
+         & 5.1841531440926403_dp, 5.1805855083537100_dp, 5.1777039164948802_dp, 5.1754199179523699_dp, &
+         & 5.1736476162475604_dp, 5.1723051976616397_dp, 5.1713162770932204_dp, 5.1706110260937104_dp, &
+         & 5.1701270528673096_dp, 5.1698100103242997_dp, 5.1696139158979504_dp, 5.1695011754890299_dp, &
+         & 5.1694423132147103_dp, 5.1694154181853600_dp, 5.1694053288714503_dp, 5.1694025843277904_dp, &
+         & 5.1694021792386904_dp, 5.1694021479943197_dp, 5.1694015869456704_dp, 5.1693977857567299_dp, &
+         & 5.1693838121569398_dp, 5.1693465634619704_dp, 5.1692650445467798_dp, 5.1691089220203299_dp, &
+         & 5.1688374109573001_dp, 5.1683985428501700_dp, 5.1677288545884803_dp, 5.1667535282157298_dp, &
+         & 5.1653869998766497_dp, 5.1635340436659103_dp, 5.1610913219948404_dp, 5.1579493786875501_dp, &
+         & 5.1539950345498804_dp, 5.1491141280855803_dp, 5.1431945270539403_dp, 5.1361293205917899_dp, &
+         & 5.1278200877605800_dp, 5.1181801278312697_dp, 5.1071375315833301_dp, 5.0946379724173303_dp, &
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+         & 6.2172489379008798e-15_dp, 5.3290705182007498e-15_dp, 6.2172489379008798e-15_dp, 6.2172489379008798e-15_dp, &
+         & 6.2172489379008798e-15_dp &
+         &]
+      case (8)
+         out = [&
+         & 8.0000000000000000_dp, 7.9999999970423996_dp, 7.9999999055876998_dp, 7.9999992859677400_dp, &
+         & 7.9999970081657397_dp, 7.9999909362785102_dp, 7.9999776475770004_dp, 7.9999521961127700_dp, &
+         & 7.9999079295087201_dp, 7.9998363660052298_dp, 7.9997271370511402_dp, 7.9995679987909902_dp, &
+         & 7.9993449137631103_dp, 7.9990422020546399_dp, 7.9986427591217497_dp, 7.9981283355408399_dp, &
+         & 7.9974798721650897_dp, 7.9966778825721603_dp, 7.9957028733415001_dp, 7.9945357916244904_dp, &
+         & 7.9931584886843199_dp, 7.9915541875922802_dp, 7.9897079430714202_dp, 7.9876070815653497_dp, &
+         & 7.9852416099669004_dp, 7.9826045820492997_dp, 7.9796924124853001_dp, 7.9765051294011098_dp, &
+         & 7.9730465576777103_dp, 7.9693244266699699_dp, 7.9653503976486499_dp, 7.9611400080672796_dp, &
+         & 7.9567125316893899_dp, 7.9520907556529004_dp, 7.9473006776530797_dp, 7.9423711285425496_dp, &
+         & 7.9373333277121301_dp, 7.9322203805604703_dp, 7.9270667291093604_dp, 7.9219075683030198_dp, &
+         & 7.9167782416780401_dp, 7.9117136308508096_dp, 7.9067475536031600_dp, 7.9019121852323897_dp, &
+         & 7.8972375172689997_dp, 7.8927508666705499_dp, 7.8884764472098601_dp, 7.8844350130397700_dp, &
+         & 7.8806435823972301_dp, 7.8771152471759702_dp, 7.8738590717241701_dp, 7.8708800817860398_dp, &
+         & 7.8681793420781201_dp, 7.8657541186425801_dp, 7.8635981199152303_dp, 7.8617018084437902_dp, &
+         & 7.8600527734434200_dp, 7.8586361529236397_dp, 7.8574350929990100_dp, 7.8564312312289299_dp, &
+         & 7.8556051904365596_dp, 7.8549370694374003_dp, 7.8544069174611000_dp, 7.8539951797598500_dp, &
+         & 7.8536831029405496_dp, 7.8534530899020902_dp, 7.8532889958634700_dp, 7.8531763587863903_dp, &
+         & 7.8531025594759800_dp, 7.8530569087298199_dp, 7.8530306610422898_dp, 7.8530169565014800_dp, &
+         & 7.8530106945820899_dp, 7.8530083454873401_dp, 7.8530077064735302_dp, 7.8530076121563201_dp, &
+         & 7.8530075997838900_dp, 7.8530073115210799_dp, 7.8530053584952304_dp, 7.8529981789218297_dp, &
+         & 7.8529790404789397_dp, 7.8529371547587701_dp, 7.8528569320562100_dp, 7.8527174036434602_dp, &
+         & 7.8524918336936498_dp, 7.8521475373591203_dp, 7.8516459153692599_dp, 7.8509427090962296_dp, &
+         & 7.8499884735678798_dp, 7.8487292596093097_dp, 7.8471074903791003_dp, 7.8450630122177101_dp, &
+         & 7.8425342950853398_dp, 7.8394597540240101_dp, 7.8357791600622901_dp, 7.8314351067637702_dp, &
+         & 7.8263744971275697_dp, 7.8205500146795499_dp, 7.8139215422496999_dp, 7.8064574920436902_dp, &
+         & 7.7981360111772497_dp, 7.7889460279135596_dp, 7.7788881055664403_dp, 7.7679750736039104_dp, &
+         & 7.7562324091283896_dp, 7.7436983468139999_dp, 7.7304237016629003_dp, 7.7164713965844900_dp, &
+         & 7.7019156956273704_dp, 7.6868411533584897_dp, 7.6713413008933697_dp, 7.6555170988389500_dp, &
+         & 7.6394751962848799_dp, 7.6233260423732796_dp, 7.6071819024035303_dp, 7.5911548335588304_dp, &
+         & 7.5753546760399102_dp, 7.5598871137199701_dp, 7.5448518546287104_dp, 7.5303409760059798_dp, &
+         & 7.5164374717908604_dp, 7.5032140327114600_dp, 7.4907320810757501_dp, 7.4790410743300404_dp, &
+         & 7.4681780837614804_dp, 7.4581676475889598_dp, 7.4490218912341701_dp, 7.4407409018372697_dp, &
+         & 7.4333133390648998_dp, 7.4267172599077300_dp, 7.4209211314217702_dp, 7.4158850021853002_dp, &
+         & 7.4115618005945798_dp, 7.4078987260096403_dp, 7.4048386972192803_dp, 7.4023218217802400_dp, &
+         & 7.4002868495718497_dp, 7.3986725744705497_dp, 7.3974191494545103_dp, 7.3964692827380603_dp, &
+         & 7.3957692857196697_dp, 7.3952699475714700_dp, 7.3949272161308004_dp, 7.3947026702553300_dp, &
+         & 7.3945637748206403_dp, 7.3944839158883502_dp, 7.3944422200514204_dp, 7.3944231683591397_dp, &
+         & 7.3944160213275003_dp, 7.3944140771536597_dp, 7.3944137901973797_dp, 7.3944137648646002_dp, &
+         & 7.3944132684812098_dp, 7.3944099054069099_dp, 7.3943975423336097_dp, 7.3943645864858700_dp, &
+         & 7.3942924612198100_dp, 7.3941543242790404_dp, 7.3939140766065501_dp, 7.3935257016859302_dp, &
+         & 7.3929329663599299_dp, 7.3920695041485098_dp, 7.3908592914777600_dp, 7.3892175161682303_dp, &
+         & 7.3870518262702900_dp, 7.3842639361449702_dp, 7.3807515558498702_dp, 7.3764105996774498_dp, &
+         & 7.3711376203640402_dp, 7.3648324072711802_dp, 7.3574006799278902_dp, 7.3487568028781096_dp, &
+         & 7.3388264439509800_dp, 7.3275490960269796_dp, 7.3148803823110997_dp, 7.3007940672977103_dp, &
+         & 7.2852837003175601_dp, 7.2683638260984003_dp, 7.2500707073820196_dp, 7.2304625184052602_dp, &
+         & 7.2096189847964798_dp, 7.1876404646656598_dp, 7.1646464865211996_dp, 7.1407737809562697_dp, &
+         & 7.1161738634157201_dp, 7.0910102433227999_dp, 7.0654553490719501_dp, 7.0396872678401303_dp, &
+         & 7.0138864032343804_dp, 6.9882321523902000_dp, 6.9628996976919302_dp, 6.9380569976580198_dp, &
+         & 6.9138620478840300_dp, 6.8904604675577703_dp, 6.8679834512275502_dp, 6.8465461103226897_dp, &
+         & 6.8262462152446801_dp, 6.8071633372084097_dp, 6.7893583796524304_dp, 6.7728734819182197_dp, &
+         & 6.7577322727776199_dp, 6.7439404478822098_dp, 6.7314866428736702_dp, 6.7203435722827800_dp, &
+         & 6.7104694030605003_dp, 6.7018093303190200_dp, 6.6942973214093904_dp, 6.6878579927408097_dp, &
+         & 6.6824085817801002_dp, 6.6778609745853998_dp, 6.6741237472359796_dp, 6.6711041778851801_dp, &
+         & 6.6687101851806601_dp, 6.6668521487571502_dp, 6.6654445686697796_dp, 6.6644075231959796_dp, &
+         & 6.6636678885025198_dp, 6.6631602892596700_dp, 6.6628277562872604_dp, 6.6626220755341796_dp, &
+         & 6.6625038218260801_dp, 6.6624420804997300_dp, 6.6624138698677600_dp, 6.6624032870032597_dp, &
+         & 6.6624004081997201_dp, 6.6623999832940699_dp, 6.6623999492113803_dp, 6.6623993202128000_dp, &
+         & 6.6623950586521197_dp, 6.6623793926626700_dp, 6.6623376325671400_dp, 6.6622462399985896_dp, &
+         & 6.6620712060853204_dp, 6.6617668012057498_dp, 6.6612747498125104_dp, 6.6605238734945100_dp, &
+         & 6.6594302338370097_dp, 6.6578977937694397_dp, 6.6558196019849998_dp, 6.6530794897492003_dp, &
+         & 6.6495542531552303_dp, 6.6451162769273102_dp, 6.6396365386668901_dp, 6.6329879155883802_dp, &
+         & 6.6250487000557703_dp, 6.6157062164825300_dp, 6.6048604213376301_dp, 6.5924273610632698_dp, &
+         & 6.5783423605382403_dp, 6.5625628180497699_dp, 6.5450704920550900_dp, 6.5258731804750001_dp, &
+         & 6.5050057145948896_dp, 6.4825302160974196_dp, 6.4585355960500097_dp, 6.4331363070851699_dp, &
+         & 6.4064703924494202_dp, 6.3786969057913003_dp, 6.3499928013135198_dp, 6.3205494133636702_dp, &
+         & 6.2905686563890599_dp, 6.2602590798850501_dp, 6.2298319087809801_dp, 6.1994971886433401_dp, &
+         & 6.1694601387314796_dp, 6.1399177962576701_dp, 6.1110560141952899_dp, 6.0830468544788996_dp, &
+         & 6.0560463999055596_dp, 6.0301929924502398_dp, 6.0056058935125600_dp, 5.9823843528246101_dp, &
+         & 5.9606070670185902_dp, 5.9403320055985098_dp, 5.9215965805941302_dp, 5.9044181358045797_dp, &
+         & 5.8887947316454996_dp, 5.8747062016953704_dp, 5.8621154567290104_dp, 5.8509700111043896_dp, &
+         & 5.8412037047328500_dp, 5.8327385915258398_dp, 5.8254869622797898_dp, 5.8193534666205400_dp, &
+         & 5.8142372951285601_dp, 5.8100343794044100_dp, 5.8066395649399896_dp, 5.8039487095786404_dp, &
+         & 5.8018606594062900_dp, 5.8002790544131999_dp, 5.7991139184296898_dp, 5.7982829918108596_dp, &
+         & 5.7977127711514296_dp, 5.7973392278572504_dp, 5.7971081864607701_dp, 5.7969753538068600_dp, &
+         & 5.7969060012195799_dp, 5.7968743129995897_dp, 5.7968624255814598_dp, 5.7968591919086201_dp, &
+         & 5.7968587146250403_dp, 5.7968586778123301_dp, 5.7968580167742800_dp, 5.7968535381419501_dp, &
+         & 5.7968370741822897_dp, 5.7967931870534404_dp, 5.7966971398406297_dp, 5.7965131929376996_dp, &
+         & 5.7961932920814698_dp, 5.7956762052278101_dp, 5.7948871549627503_dp, 5.7937379812311400_dp, &
+         & 5.7921278557519500_dp, 5.7899445544814601_dp, 5.7870662778546897_dp, 5.7833639903806304_dp, &
+         & 5.7787042317897397_dp, 5.7729523318817204_dp, 5.7659759413325604_dp, 5.7576487720966503_dp, &
+         & 5.7478544250100096_dp, 5.7364901702098301_dp, 5.7234705394558398_dp, 5.7087305895867200_dp, &
+         & 5.6922287039972099_dp, 5.6739488144370602_dp, 5.6539019481807804_dp, 5.6321270345261700_dp, &
+         & 5.6086909377874701_dp, 5.5836877190656198_dp, 5.5572371634309503_dp, 5.5294826401142698_dp, &
+         & 5.5005883886107396_dp, 5.4707363416592703_dp, 5.4401226061179200_dp, 5.4089537249653796_dp, &
+         & 5.3774428389796798_dp, 5.3458058566293296_dp, 5.3142577272034197_dp, 5.2830088970409799_dp, &
+         & 5.2522620134561100_dp, 5.2222089267190404_dp, 5.1930280278755196_dp, 5.1648819494553502_dp, &
+         & 5.1379156471010203_dp, 5.1122548725251100_dp, 5.0880050416325799_dp, 5.0652504958260600_dp, &
+         & 5.0440541492602096_dp, 5.0244575100348499_dp, 5.0064810589899702_dp, 4.9901249658848696_dp, &
+         & 4.9753701192795097_dp, 4.9621794433221202_dp, 4.9504994717709296_dp, 4.9402621468092898_dp, &
+         & 4.9313868074313003_dp, 4.9237823293030596_dp, 4.9173493750416499_dp, 4.9119827108874503_dp, &
+         & 4.9075735429579703_dp, 4.9040118239232102_dp, 4.9011884793499600_dp, 4.8989975024599204_dp, &
+         & 4.8973378669490097_dp, 4.8961152100775003_dp, 4.8952432426234802_dp, 4.8946448485372498_dp, &
+         & 4.8942528451470997_dp, 4.8940103843209100_dp, 4.8938709857329803_dp, 4.8937982048765702_dp, &
+         & 4.8937649501927698_dp, 4.8937524751303796_dp, 4.8937490816031604_dp, 4.8937485807253696_dp, &
+         & 4.8937485428004104_dp, 4.8937478709635203_dp, 4.8937433191671103_dp, 4.8937265862424102_dp, &
+         & 4.8936819821046003_dp, 4.8935843654970403_dp, 4.8933974121028996_dp, 4.8930722800784299_dp, &
+         & 4.8925467306046899_dp, 4.8917447501879003_dp, 4.8905767091680596_dp, 4.8889400771864597_dp, &
+         & 4.8867207011838296_dp, 4.8837946348795302_dp, 4.8800304907677496_dp, 4.8752922667838696_dp, &
+         & 4.8694425804909001_dp, 4.8623462246985296_dp, 4.8538739408662499_dp, 4.8439062916387501_dp, &
+         & 4.8323375026613498_dp, 4.8190791376083997_dp, 4.8040634700833804_dp, 4.7872464222958904_dp, &
+         & 4.7686099532702899_dp, 4.7481637983217500_dp, 4.7259464856426696_dp, 4.7020255836500002_dp, &
+         & 4.6764971625745799_dp, 4.6494844839120999_dp, 4.6211359602346498_dp, 4.5916224541949902_dp, &
+         & 4.5611340083784704_dp, 4.5298761162780901_dp, 4.4980656585757002_dp, 4.4659266376700604_dp, &
+         & 4.4336858466035602_dp, 4.4015686058860304_dp, 4.3697946930945397_dp, 4.3385745758187397_dp, &
+         & 4.3081060393149997_dp, 4.2785712774730396_dp, 4.2501344911794403_dp, 4.2229400139011304_dp, &
+         & 4.1971109622516698_dp, 4.1727483910169001_dp, 4.1499309185839399_dp, 4.1287147802339899_dp, &
+         & 4.1091342629650800_dp, 4.0912024755439997_dp, 4.0749124101875704_dp, 4.0602382564053299_dp, &
+         & 4.0471369319672004_dp, 4.0355497997934799_dp, 4.0254045421923301_dp, 4.0166171649845399_dp, &
+         & 4.0090941036128500_dp, 4.0027344015073902_dp, 3.9974319281017001_dp, 3.9930776004076902_dp, &
+         & 3.9895615684668599_dp, 3.9867753218241200_dp, 3.9846136719321299_dp, 3.9829765645442001_dp, &
+         & 3.9817706770647798_dp, 3.9809107587470498_dp, 3.9803206766630099_dp, 3.9799341374651300_dp, &
+         & 3.9796950638900901_dp, 3.9795576153569101_dp, 3.9794858533944901_dp, 3.9794530644320800_dp, &
+         & 3.9794407641070499_dp, 3.9794374181153702_dp, 3.9794369242538301_dp, 3.9794368871794901_dp, &
+         & 3.9794362346289698_dp, 3.9794318135017499_dp, 3.9794155609481598_dp, 3.9793722374367202_dp, &
+         & 3.9792774241252400_dp, 3.9790958419714499_dp, 3.9787800586945701_dp, 3.9782696410778802_dp, &
+         & 3.9774908001525500_dp, 3.9763565654236901_dp, 3.9747675113223599_dp, 3.9726130443214598_dp, &
+         & 3.9697732425356902_dp, 3.9661212211792400_dp, 3.9615259772438600_dp, 3.9558556457223202_dp, &
+         & 3.9489810784844699_dp, 3.9407796366563899_dp, 3.9311390694533599_dp, 3.9199613384286200_dp, &
+         & 3.9071662376115501_dp, 3.8926946584853899_dp, 3.8765113553577999_dp, 3.8586070820868601_dp, &
+         & 3.8389999953617902_dp, 3.8177362520232299_dp, 3.7948897665765502_dp, 3.7705611375456400_dp, &
+         & 3.7448757943140101_dp, 3.7179814558003699_dp, 3.6900450248895100_dp, 3.6612490647166802_dp, &
+         & 3.6317880125962301_dp, 3.6018642841772199_dp, 3.5716844057509598_dp, 3.5414552896182299_dp, &
+         & 3.5113807401482502_dp, 3.4816582508459302_dp, 3.4524761288522101_dp, 3.4240109649362802_dp, &
+         & 3.3964254547593700_dp, 3.3698665702633499_dp, 3.3444640769475700_dp, 3.3203293918196399_dp, &
+         & 3.2975547764704398_dp, 3.2762128590580000_dp, 3.2563564775550198_dp, 3.2380188344070402_dp, &
+         & 3.2212139499958399_dp, 3.2059373993083802_dp, 3.1921673132250699_dp, 3.1798656229985802_dp, &
+         & 3.1689795238090199_dp, 3.1594431306821900_dp, 3.1511792974349100_dp, 3.1441015665763699_dp, &
+         & 3.1381162152181798_dp, 3.1331243590887601_dp, 3.1290240738668800_dp, 3.1257124904895699_dp, &
+         & 3.1230878191585698_dp, 3.1210512558026902_dp, 3.1195087250761802_dp, 3.1183724158572299_dp, &
+         & 3.1175620688393302_dp, 3.1170059812488899_dp, 3.1166417009075902_dp, 3.1164163905849800_dp, &
+         & 3.1162868535267001_dp, 3.1162192217686600_dp, 3.1161883198625802_dp, 3.1161767274264900_dp, &
+         & 3.1161735739967300_dp, 3.1161731085568798_dp, 3.1161730737224200_dp, 3.1161724620116500_dp, &
+         & 3.1161683175791799_dp, 3.1161530821774401_dp, 3.1161124699625500_dp, 3.1160235899691102_dp, &
+         & 3.1158533697246402_dp, 3.1155573414454998_dp, 3.1150788438660002_dp, 3.1143486830929499_dp, &
+         & 3.1132852849061301_dp, 3.1117953585522500_dp, 3.1097750782145499_dp, 3.1071117729523698_dp, &
+         & 3.1036860990912101_dp, 3.0993746510938598_dp, 3.0940529483909200_dp, 3.0875987172934498_dp, &
+         & 3.0798953700069598_dp, 3.0708355681588100_dp, 3.0603247474597501_dp, 3.0482844743900501_dp, &
+         & 3.0346555061114500_dp, 3.0194004317137901_dp, 3.0025057864014300_dp, 2.9839835496995999_dp, &
+         & 2.9638719630428598_dp, 2.9422356296170298_dp, 2.9191648882812600_dp, 2.8947744820488301_dp, &
+         & 2.8692015684252699_dp, 2.8426031426924898_dp, 2.8151529651350100_dp, 2.7870380986600600_dp, &
+         & 2.7584551738931000_dp, 2.7296065043820898_dp, 2.7006961748774798_dp, 2.6719262207823200_dp, &
+         & 2.6434930070383600_dp, 2.6155839004915800_dp, 2.5883743120661600_dp, 2.5620251650786798_dp, &
+         & 2.5366808251443298_dp, 2.5124675068080600_dp, 2.4894921535911698_dp, 2.4678417726211501_dp, &
+         & 2.4475831930801699_dp, 2.4287632096253100_dp, 2.4114090675689401_dp, 2.3955292454982700_dp, &
+         & 2.3811144924650400_dp, 2.3681390800651401_dp, 2.3565622338026002_dp, 2.3463297123055300_dp, &
+         & 2.3373755065726498_dp, 2.3296236339965199_dp, 2.3229900031522699_dp, 2.3173843251845199_dp, &
+         & 2.3127120461929098_dp, 2.3088762726016401_dp, 2.3057796585249100_dp, 2.3033262211219800_dp, &
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+         & 0.0433112218785325_dp, 0.0433112202670634_dp, 0.0433111909144905_dp, 0.0433109920467709_dp, &
+         & 0.0433102609921496_dp, 0.0433083123008471_dp, 0.0433040477994995_dp, 0.0432958813896471_dp, &
+         & 0.0432816818757198_dp, 0.0432587368979931_dp, 0.0432237407873375_dp, 0.0431728088094490_dp, &
+         & 0.0431015197734563_dp, 0.0430049882866816_dp, 0.0428779669949311_dp, 0.0427149779274822_dp, &
+         & 0.0425104705723438_dp, 0.0422590025893577_dp, 0.0419554372261839_dp, 0.0415951496859117_dp, &
+         & 0.0411742330980278_dp, 0.0406896935813528_dp, 0.0401396233671800_dp, 0.0395233412402591_dp, &
+         & 0.0388414907467736_dp, 0.0380960887014634_dp, 0.0372905193782938_dp, 0.0364294731610215_dp, &
+         & 0.0355188320533451_dp, 0.0345655079513687_dp, 0.0335772426155305_dp, 0.0325623805444222_dp, &
+         & 0.0315296272412349_dp, 0.0304878055917097_dp, 0.0294456222965316_dp, 0.0284114546957657_dp, &
+         & 0.0273931661345124_dp, 0.0263979555061091_dp, 0.0254322440019621_dp, 0.0245015995921838_dp, &
+         & 0.0236106975327148_dp, 0.0227633134002101_dp, 0.0219623439060790_dp, 0.0212098500635287_dp, &
+         & 0.0205071171083357_dp, 0.0198547257790089_dp, 0.0192526300227431_dp, 0.0187002368315632_dp, &
+         & 0.0181964846856557_dp, 0.0177399179455593_dp, 0.0173287554191432_dp, 0.0169609521486560_dp, &
+         & 0.0166342541481868_dp, 0.0163462463457718_dp, 0.0160943943592624_dp, 0.0158760809837268_dp, &
+         & 0.0156886384114889_dp, 0.0155293772447607_dp, 0.0153956133019451_dp, 0.0152846930645438_dp, &
+         & 0.0151940183845936_dp, 0.0151210707937537_dp, 0.0150634354574404_dp, 0.0150188245216816_dp, &
+         & 0.0149850993374709_dp, 0.0149602908327271_dp, 0.0149426171583338_dp, 0.0149304976715889_dp, &
+         & 0.0149225623475884_dp, 0.0149176558213684_dp, 0.0149148354567199_dp, 0.0149133630884508_dp, &
+         & 0.0149126903777521_dp, 0.0149124380250516_dp, 0.0149123693794024_dp, 0.0149123592474538_dp, &
+         & 0.0149123584430511_dp, 0.0149123437014094_dp, 0.0149122438248561_dp, 0.0149118766716834_dp, &
+         & 0.0149108980038166_dp, 0.0149087563537158_dp, 0.0149046553761885_dp, 0.0148975254273029_dp, &
+         & 0.0148860060588891_dp, 0.0148684410431326_dp, 0.0148428874127902_dp, 0.0148071397806673_dp, &
+         & 0.0147587708406505_dp, 0.0146951884173321_dp, 0.0146137086943643_dp, 0.0145116443174560_dp, &
+         & 0.0143864049656033_dp, 0.0142356067841583_dp, 0.0140571858820637_dp, 0.0138495100453273_dp, &
+         & 0.0136114820663478_dp, 0.0133426277789459_dp, 0.0130431621524529_dp, 0.0127140277058277_dp, &
+         & 0.0123569010531144_dp, 0.0119741654848076_dp, 0.0115688499326421_dp, 0.0111445371894776_dp, &
+         & 0.0107052465880706_dp, 0.0102552982260962_dp, 0.0097991670857747_dp, 0.0093413359151944_dp, &
+         & 0.0088861554583151_dp, 0.0084377195785823_dp, 0.0079997611538696_dp, 0.0075755726018523_dp, &
+         & 0.0071679527928277_dp, 0.0067791801313719_dp, 0.0064110098317602_dp, 0.0060646919643874_dp, &
+         & 0.0057410058720508_dp, 0.0054403062384916_dp, 0.0051625764133645_dp, 0.0049074852732422_dp, &
+         & 0.0046744445349276_dp, 0.0044626638461009_dp, 0.0042712013251922_dp, 0.0040990078274552_dp, &
+         & 0.0039449640905920_dp, 0.0038079108773195_dp, 0.0036866728776372_dp, 0.0035800773229351_dp, &
+         & 0.0034869681274090_dp, 0.0034062161891910_dp, 0.0033367264379338_dp, 0.0032774423076534_dp, &
+         & 0.0032273483986431_dp, 0.0031854721174431_dp, 0.0031508849703190_dp, 0.0031227039909432_dp, &
+         & 0.0031000936038046_dp, 0.0030822680467493_dp, 0.0030684942672785_dp, 0.0030580952010331_dp, &
+         & 0.0030504531166047_dp, 0.0030450127791211_dp, 0.0030412840244853_dp, 0.0030388434263085_dp, &
+         & 0.0030373346980665_dp, 0.0030364675673145_dp, 0.0030360149152502_dp, 0.0030358081093125_dp, &
+         & 0.0030357305332878_dp, 0.0030357094305638_dp, 0.0030357063158197_dp, 0.0030357060660649_dp, &
+         & 0.0030357014641318_dp, 0.0030356702844738_dp, 0.0030355556640966_dp, 0.0030352501476738_dp, &
+         & 0.0030345816135258_dp, 0.0030333016006692_dp, 0.0030310766253034_dp, 0.0030274830907313_dp, &
+         & 0.0030220064463302_dp, 0.0030140451924874_dp, 0.0030029202702400_dp, 0.0029878902948299_dp, &
+         & 0.0029681727845814_dp, 0.0029429712793911_dp, 0.0029104480429005_dp, 0.0028720377816827_dp, &
+         & 0.0028260211920381_dp, 0.0027719047500465_dp, 0.0027093672733498_dp, 0.0026382929879505_dp, &
+         & 0.0025587966778540_dp, 0.0024712380663363_dp, 0.0023762231735587_dp, 0.0022745914695630_dp, &
+         & 0.0021673890989726_dp, 0.0020558299849833_dp, 0.0019412477908558_dp, 0.0018250422216059_dp, &
+         & 0.0017086230719130_dp, 0.0015933552375271_dp, 0.0014805080488429_dp, 0.0013712126327450_dp, &
+         & 0.0012664307842645_dp, 0.0011669372851255_dp, 0.0010733149938504_dp, 0.0009859597980304_dp, &
+         & 0.0009050921741336_dp, 0.0008307736488424_dp, 0.0007629280928763_dp, 0.0007013675417928_dp, &
+         & 0.0006458201341326_dp, 0.0005959560026580_dp, 0.0005514077702182_dp, 0.0005117854635399_dp, &
+         & 0.0004766885145004_dp, 0.0004457176005683_dp, 0.0004184865635697_dp, 0.0003946321049266_dp, &
+         & 0.0003738187499192_dp, 0.0003557387143358_dp, 0.0003401087668173_dp, 0.0003266669871911_dp, &
+         & 0.0003151711868652_dp, 0.0003053989173676_dp, 0.0002971478552682_dp, 0.0002902354082872_dp, &
+         & 0.0002844971725482_dp, 0.0002797846283995_dp, 0.0002759627549098_dp, 0.0002729080946891_dp, &
+         & 0.0002705074743705_dp, 0.0002686573178847_dp, 0.0002672633696248_dp, 0.0002662406432972_dp, &
+         & 0.0002655134612599_dp, 0.0002650154967458_dp, 0.0002646897591667_dp, 0.0002644884740652_dp, &
+         & 0.0002643728144021_dp, 0.0002643124468689_dp, 0.0002642848683854_dp, 0.0002642745233823_dp, &
+         & 0.0002642717093497_dp, 0.0002642712940064_dp, 0.0002642712604422_dp, 0.0002642706379437_dp, &
+         & 0.0002642664204400_dp, 0.0002642509168549_dp, 0.0002642095931087_dp, 0.0002641191729191_dp, &
+         & 0.0002639460681699_dp, 0.0002636452282170_dp, 0.0002631595055123_dp, 0.0002624196449394_dp, &
+         & 0.0002613450151570_dp, 0.0002598452097313_dp, 0.0002578226477112_dp, 0.0002551762838268_dp, &
+         & 0.0002518064728836_dp, 0.0002476208886701_dp, 0.0002425411528524_dp, 0.0002365095092438_dp, &
+         & 0.0002294945970078_dp, 0.0002214953386099_dp, 0.0002125423740056_dp, 0.0002026973577669_dp, &
+         & 0.0001920514029869_dp, 0.0001807242260767_dp, 0.0001688644067546_dp, 0.0001566487934941_dp, &
+         & 0.0001442770428675_dp, 0.0001320093671353_dp, 0.0001198890453296_dp, 0.0001082365600746_dp, &
+         & 9.7167477594695101e-05_dp, 8.6696078038350804e-05_dp, 7.6892207285794698e-05_dp, 6.7962332460425005e-05_dp, &
+         & 5.9826582993416400e-05_dp, 5.2495194034385399e-05_dp, 4.5917223284064301e-05_dp, 4.0003991658821299e-05_dp, &
+         & 3.4840714488559902e-05_dp, 3.0225960722773901e-05_dp, 2.6158995741987199e-05_dp, 2.2587258367678901e-05_dp, &
+         & 1.9385565370733101e-05_dp, 1.6386704175808100e-05_dp, 1.3459309553098801e-05_dp, 1.0518040705065300e-05_dp, &
+         & 7.6306171843398795e-06_dp, 4.9667301764699801e-06_dp, 2.7290073143504401e-06_dp, 1.1982747247785099e-06_dp, &
+         & 9.5115329834527497e-07_dp, 7.3136892542180497e-07_dp, 3.4737299525744400e-07_dp, 5.6728027342245500e-07_dp, &
+         & 6.7401985326398496e-07_dp, 6.3694317997686799e-07_dp, 5.4365677915058097e-07_dp, 4.5714120133766301e-07_dp, &
+         & 4.0505874387974901e-07_dp, 3.8304311278381002e-07_dp, 3.7130551966413302e-07_dp, 3.5299607681338298e-07_dp, &
+         &  3.2156505369584899e-07_dp, 2.7851340522744300e-07_dp, -5.3290705182007498e-15_dp, -3.5527136788005001e-15_dp, &
+         & -5.3290705182007498e-15_dp, -5.3290705182007498e-15_dp, -5.3290705182007498e-15_dp, -5.3290705182007498e-15_dp, &
+         & -5.3290705182007498e-15_dp, -3.5527136788005001e-15_dp, -3.5527136788005001e-15_dp, -5.3290705182007498e-15_dp, &
+         & -3.5527136788005001e-15_dp &
+         &]
+      case (9)
+         out = [&
+         & 9.0000000000000000_dp, 8.9999999963887305_dp, 8.9999998847212499_dp, 8.9999991281564906_dp, &
+         & 8.9999963469279400_dp, 8.9999889330671099_dp, 8.9999727073713700_dp, 8.9999416307601905_dp, &
+         & 8.9998875805649305_dp, 8.9998002003812303_dp, 8.9996668299365208_dp, 8.9994725190566900_dp, &
+         & 8.9992001273291304_dp, 8.9988305085331692_dp, 8.9983427764238595_dp, 8.9977146460866209_dp, &
+         & 8.9969228429001902_dp, 8.9959435692128107_dp, 8.9947530172019494_dp, 8.9933279150837002_dp, &
+         & 8.9916460928870308_dp, 8.9896870534148192_dp, 8.9874325337753298_dp, 8.9848670429695794_dp, &
+         & 8.9819783614436304_dp, 8.9787579892390692_dp, 8.9752015303799002_dp, 8.9713090024024709_dp, &
+         & 8.9670850614525595_dp, 8.9625391351285799_dp, 8.9576854572280897_dp, 8.9525430007404996_dp, &
+         & 8.9471353077948503_dp, 8.9414902177807303_dp, 8.9356394974612297_dp, 8.9296183795202193_dp, &
+         & 8.9234650185537703_dp, 8.9172198759341992_dp, 8.9109250471515402_dp, 8.9046235470767403_dp, &
+         & 8.8983585700109593_dp, 8.8921727423158394_dp, 8.8861073858144408_dp, 8.8802018099864597_dp, &
+         & 8.8744926502569097_dp, 8.8690132684204208_dp, 8.8637932295017308_dp, 8.8588578671927003_dp, &
+         & 8.8542279475074395_dp, 8.8499194375470900_dp, 8.8459433833566905_dp, 8.8423058978808307_dp, &
+         & 8.8390082570704003_dp, 8.8360470993436007_dp, 8.8334147209366805_dp, 8.8310994572615407_dp, &
+         & 8.8290861382777006_dp, 8.8273566041353799_dp, 8.8258902659943104_dp, 8.8246646959989903_dp, &
+         & 8.8236562299145600_dp, 8.8228405659046292_dp, 8.8221933433595900_dp, 8.8216906865439206_dp, &
+         & 8.8213096990963393_dp, 8.8210288970482793_dp, 8.8208285699762907_dp, 8.8206910621158201_dp, &
+         & 8.8206009676751904_dp, 8.8205452371323805_dp, 8.8205131939043202_dp, 8.8204964633780296_dp, &
+         & 8.8204888188172603_dp, 8.8204859510389397_dp, 8.8204851709299597_dp, 8.8204850557873709_dp, &
+         & 8.8204850406830904_dp, 8.8204846887714403_dp, 8.8204823045146998_dp, 8.8204735396817195_dp, &
+         & 8.8204501754481299_dp, 8.8203990413295799_dp, 8.8203011054627893_dp, 8.8201307694061502_dp, &
+         & 8.8198553945606104_dp, 8.8194350804241406_dp, 8.8188227074147107_dp, 8.8179642491798802_dp, &
+         & 8.8167993514262406_dp, 8.8152621666204194_dp, 8.8132824266925596_dp, 8.8107867293367192_dp, &
+         & 8.8077000078219996_dp, 8.8039471495077102_dp, 8.7994547245271697_dp, 8.7941527833257194_dp, &
+         & 8.7879766798125605_dp, 8.7808688756858508_dp, 8.7727806808964797_dp, 8.7636738851551197_dp, &
+         & 8.7535222358685001_dp, 8.7423127190236301_dp, 8.7300466015342106_dp, 8.7167401967051497_dp, &
+         & 8.7024253190638792_dp, 8.6871494011081598_dp, 8.6709752526661497_dp, 8.6539804535043903_dp, &
+         & 8.6362563812820703_dp, 8.6179068894322697_dp, 8.5990466623626496_dp, 8.5797992876942804_dp, &
+         & 8.5602950962585709_dp, 8.5406688294837600_dp, 8.5210572000257692_dp, 8.5015964146696401_dp, &
+         & 8.4824197285486704_dp, 8.4636550967628192_dp, 8.4454229839098893_dp, 8.4278343844193397_dp, &
+         & 8.4109890975268904_dp, 8.3949742908887206_dp, 8.3798633767898991_dp, 8.3657152151342498_dp, &
+         & 8.3525736482667394_dp, 8.3404673643929907_dp, 8.3294100790235692_dp, 8.3194010174813897_dp, &
+         & 8.3104256760040407_dp, 8.3024568342469394_dp, 8.2954557879447393_dp, 8.2893737670316092_dp, &
+         & 8.2841535016110104_dp, 8.2797308957977105_dp, 8.2760367676739506_dp, 8.2729986124853205_dp, &
+         & 8.2705423458555298_dp, 8.2685939843312308_dp, 8.2670812220798595_dp, 8.2659348651265496_dp, &
+         & 8.2650900881595994_dp, 8.2644874836374704_dp, 8.2640738786140506_dp, 8.2638029012304308_dp, &
+         & 8.2636352860154005_dp, 8.2635389147715408_dp, 8.2634885976457007_dp, 8.2634656067298806_dp, &
+         & 8.2634569819456694_dp, 8.2634546357859993_dp, 8.2634542894974103_dp, 8.2634542589267106_dp, &
+         & 8.2634536599089596_dp, 8.2634496014712404_dp, 8.2634346821605096_dp, 8.2633949122611803_dp, &
+         & 8.2633078742997608_dp, 8.2631411765750702_dp, 8.2628512577415805_dp, 8.2623825910385698_dp, &
+         & 8.2616673260054405_dp, 8.2606253936714502_dp, 8.2591650884850303_dp, 8.2571841269071307_dp, &
+         & 8.2545711689112604_dp, 8.2512077749176704_dp, 8.2469707572674302_dp, 8.2417348725533497_dp, &
+         & 8.2353757893003898_dp, 8.2277732549421003_dp, 8.2188143770567201_dp, 8.2083969266697991_dp, &
+         & 8.1964325663572808_dp, 8.1828499031688295_dp, 8.1675972663571095_dp, 8.1506451129139794_dp, &
+         & 8.1319879703790896_dp, 8.1116458366698794_dp, 8.0896649710258401_dp, 8.0661180285598295_dp, &
+         & 8.0411035130000208_dp, 8.0147445471809693_dp, 7.9871869874464396_dp, 7.9585969347238601_dp, &
+         & 7.9291577197710899_dp, 7.8990664611309098_dp, 7.8685303100589197_dp, 7.8377625059899803_dp, &
+         & 7.8069783684731000_dp, 7.7763913471158501_dp, 7.7462092407502601_dp, 7.7166306820710204_dp, &
+         & 7.6878419660060597_dp, 7.6600142807343099_dp, 7.6333013811100301_dp, 7.6078377265449397_dp, &
+         & 7.5837370900157302_dp, 7.5610916322764501_dp, 7.5399714256562698_dp, 7.5204244048017097_dp, &
+         & 7.5024767169511497_dp, 7.4861334412628002_dp, 7.4713796447790903_dp, 7.4581817412619298_dp, &
+         & 7.4464891179286896_dp, 7.4362359937303397_dp, 7.4273434710516302_dp, 7.4197217405250599_dp, &
+         & 7.4132723961084599_dp, 7.4078908148652198_dp, 7.4034685532762703_dp, 7.3998957097337197_dp, &
+         & 7.3970632014730402_dp, 7.3948649039439500_dp, 7.3931996018065798_dp, 7.3919727036041696_dp, &
+         & 7.3910976768394496_dp, 7.3904971666834403_dp, 7.3901037697572400_dp, 7.3898604441086899_dp, &
+         & 7.3897205473045702_dp, 7.3896475060358799_dp, 7.3896141322994104_dp, 7.3896016125652197_dp, &
+         & 7.3895982068851502_dp, 7.3895977042135801_dp, 7.3895976638930998_dp, 7.3895969197756903_dp, &
+         & 7.3895918782676500_dp, 7.3895733451047700_dp, 7.3895239421434900_dp, 7.3894158231773099_dp, &
+         & 7.3892087555490003_dp, 7.3888486416965096_dp, 7.3882665442231197_dp, 7.3873782659756797_dp, &
+         & 7.3860845229743699_dp, 7.3842717328549803_dp, 7.3818134247539398_dp, 7.3785722583453701_dp, &
+         & 7.3744026202033304_dp, 7.3691537451546498_dp, 7.3626732893564197_dp, 7.3548112612423298_dp, &
+         & 7.3454241972069800_dp, 7.3343794520759502_dp, 7.3215594612823001_dp, 7.3068658234882600_dp, &
+         & 7.2902230503019201_dp, 7.2715818346660397_dp, 7.2509217020013699_dp, 7.2282529283477697_dp, &
+         & 7.2036176370492599_dp, 7.1770900188088298_dp, 7.1487756573872296_dp, 7.1188099824775302_dp, &
+         & 7.0873559096362202_dp, 7.0546007617863298_dp, 7.0207525951641703_dp, 6.9860360726565700_dp, &
+         & 6.9506880380982397_dp, 6.9149529460710202_dp, 6.8790782938508501_dp, 6.8433101869924702_dp, &
+         & 6.8078891497955603_dp, 6.7730462689540101_dp, 6.7389997353396600_dp, 6.7059518270213303_dp, &
+         & 6.6740863576220102_dp, 6.6435665987090200_dp, 6.6145336732606097_dp, 6.5871054090653498_dp, &
+         & 6.5613756355943096_dp, 6.5374139046998696_dp, 6.5152656136807900_dp, 6.4949525081330801_dp, &
+         & 6.4764735410317700_dp, 6.4598060632612997_dp, 6.4449073190784798_dp, 6.4317162176238796_dp, &
+         & 6.4201553485755998_dp, 6.4101332064296397_dp, 6.4015465838370300_dp, 6.3942830901364500_dp, &
+         & 6.3882237469572098_dp, 6.3832456088453498_dp, 6.3792243536311002_dp, 6.3760367850737696_dp, &
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+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 0.0000000000000000_dp &
+         &]
+      case (10)
+         out = [&
+         & 10.0000000000000000_dp, 9.9999999956621703_dp, 9.9999998615280195_dp, 9.9999989527480793_dp, &
+         & 9.9999956119570204_dp, 9.9999867064821704_dp, 9.9999672162945608_dp, 9.9999298872886708_dp, &
+         & 9.9998649625546800_dp, 9.9997600020041393_dp, 9.9995997980939997_dp, 9.9993663925473406_dp, &
+         & 9.9990391959815597_dp, 9.9985952093210795_dp, 9.9980093428887695_dp, 9.9972548262297707_dp, &
+         & 9.9963036991091592_dp, 9.9951273718123197_dp, 9.9936972409221898_dp, 9.9919853451917806_dp, &
+         & 9.9899650449948805_dp, 9.9876117081314408_dp, 9.9849033844769703_dp, 9.9818214520810908_dp, &
+         & 9.9783512178156499_dp, 9.9744824565212102_dp, 9.9702098737814104_dp, 9.9655334789481191_dp, &
+         & 9.9604588568333696_dp, 9.9549973285665097_dp, 9.9491659944749404_dp, 9.9429876544670801_dp, &
+         & 9.9364906042487195_dp, 9.9297083087420805_dp, 9.9226789572390501_dp, 9.9154449080193796_dp, &
+         & 9.9080520333001498_dp, 9.9005489783398595_dp, 9.8929863511774307_dp, 9.8854158617270897_dp, &
+         & 9.8778894306694802_dp, 9.8704582896930297_dp, 9.8631720950916506_dp, 9.8560780764880391_dp, &
+         & 9.8492202415336294_dp, 9.8426386558731096_dp, 9.8363688155160105_dp, 9.8304411261166198_dp, &
+         & 9.8248805006249107_dp, 9.8197060834440197_dp, 9.8149311057272293_dp, 9.8105628728771297_dp, &
+         & 9.8066028817788897_dp, 9.8030470619036905_dp, 9.7998861312463106_dp, 9.7971060551908700_dp, &
+         & 9.7946885938973001_dp, 9.7926119217273406_dp, 9.7908513006265707_dp, 9.7893797882844993_dp, &
+         & 9.7881689613292302_dp, 9.7871896337861202_dp, 9.7864125515372997_dp, 9.7858090445420203_dp, &
+         & 9.7853516200853097_dp, 9.7850144822694194_dp, 9.7847739652921106_dp, 9.7846088707019891_dp, &
+         & 9.7845007017088097_dp, 9.7844337906762906_dp, 9.7843953190524804_dp, 9.7843752321141206_dp, &
+         & 9.7843660539329598_dp, 9.7843626108329200_dp, 9.7843616742217492_dp, 9.7843615359797393_dp, &
+         & 9.7843615178452996_dp, 9.7843610953346207_dp, 9.7843582327583505_dp, 9.7843477095622298_dp, &
+         & 9.7843196581012002_dp, 9.7842582657100792_dp, 9.7841406825297508_dp, 9.7839361749536096_dp, &
+         & 9.7836055572918603_dp, 9.7831009260069006_dp, 9.7823657119190202_dp, 9.7813350564172001_dp, &
+         & 9.7799365082573395_dp, 9.7780910283125095_dp, 9.7757142809645696_dp, 9.7727181829605598_dp, &
+         & 9.7690126737042409_dp, 9.7645076652352500_dp, 9.7591151255989104_dp, 9.7527512458716199_dp, &
+         & 9.7453386386589695_dp, 9.7368085142709404_dp, 9.7271027798612604_dp, 9.7161760065236500_dp, &
+         & 9.7039972097024894_dp, 9.6905513894696806_dp, 9.6758407795417103_dp, 9.6598857577472206_dp, &
+         & 9.6427253764087109_dp, 9.6244174790963708_dp, 9.6050383805990798_dp, 9.5846820996319906_dp, &
+         & 9.5634591483582696_dp, 9.5414948985458299_dp, 9.5189275601736600_dp, 9.4959058234742209_dp, &
+         & 9.4725862286740199_dp, 9.4491303381258405_dp, 9.4257017924118092_dp, 9.4024633349573996_dp, &
+         & 9.3795738887067905_dp, 9.3571857637751208_dp, 9.3354420672877296_dp, 9.3144743765944007_dp, &
+         & 9.2944007255364909_dp, 9.2753239412570103_dp, 9.2573303568874508_dp, 9.2404889138797408_dp, &
+         & 9.2248506571602409_dp, 9.2104486168719593_dp, 9.1972980622995504_dp, 9.1853971065783693_dp, &
+         & 9.1747276348423696_dp, 9.1652565234016894_dp, 9.1569371132049096_dp, 9.1497108971097791_dp, &
+         & 9.1435093772968195_dp, 9.1382560465056404_dp, 9.1338684447144995_dp, 9.1302602415225600_dp, &
+         & 9.1273432939743397_dp, 9.1250296300344207_dp, 9.1232333095188807_dp, 9.1218721171224502_dp, &
+         & 9.1208690463021700_dp, 9.1201535381787195_dp, 9.1196624462154698_dp, 9.1193407050792601_dp, &
+         & 9.1191416905619995_dp, 9.1190272664783691_dp, 9.1189675237490206_dp, 9.1189402261070693_dp, &
+         & 9.1189299857066501_dp, 9.1189272000588204_dp, 9.1189267889026500_dp, 9.1189267526053808_dp, &
+         & 9.1189260413782396_dp, 9.1189212227048806_dp, 9.1189035086793595_dp, 9.1188562890340599_dp, &
+         & 9.1187529471689306_dp, 9.1185550243039994_dp, 9.1182108008905605_dp, 9.1176543533508703_dp, &
+         & 9.1168051315970100_dp, 9.1155680888381507_dp, 9.1138343801627908_dp, 9.1114826305451295_dp, &
+         & 9.1083807565717407_dp, 9.1043883096583897_dp, 9.0993592922074296_dp, 9.0931453824527608_dp, &
+         & 9.0855994890729495_dp, 9.0765795434408005_dp, 9.0659524260224202_dp, 9.0535979143313003_dp, &
+         & 9.0394125333780799_dp, 9.0233131861540592_dp, 9.0052404418103293_dp, 8.9851613633509295_dp, &
+         & 8.9630717653524705_dp, 8.9389978058763102_dp, 8.9129968355615805_dp, 8.8851574507294302_dp, &
+         & 8.8555987255531807_dp, 8.8244686297542003_dp, 8.7919416711270593_dp, 8.7582158343177792_dp, &
+         & 8.7235089163362396_dp, 8.6880543830471506_dp, 8.6520968875474900_dp, 8.6158875997734192_dp, &
+         & 8.5796794965892502_dp, 8.5437227535506892_dp, 8.5082603647986694_dp, 8.4735240979461004_dp, &
+         & 8.4397308684324006_dp, 8.4070795946727106_dp, 8.3757485731836603_dp, 8.3458933930604502_dp, &
+         & 8.3176453925379192_dp, 8.2911106472210694_dp, 8.2663694698205692_dp, 8.2434763944558291_dp, &
+         & 8.2224606141787593_dp, 8.2033268376265305_dp, 8.1860565289521396_dp, 8.1706094938101401_dp, &
+         & 8.1569257727292097_dp, 8.1449278013717805_dp, 8.1345227948109091_dp, 8.1256053100451702_dp, &
+         & 8.1180599376548201_dp, 8.1117640700237796_dp, 8.1065906902427400_dp, 8.1024111230592606_dp, &
+         & 8.0990976874614908_dp, 8.0965261900741599_dp, 8.0945781998571409_dp, 8.0931430478944009_dp, &
+         & 8.0921195014943894_dp, 8.0914170694036400_dp, 8.0909569045293193_dp, 8.0906722818894892_dp, &
+         & 8.0905086421516206_dp, 8.0904232045648694_dp, 8.0903841667645100_dp, 8.0903695222308603_dp, &
+         & 8.0903655385525308_dp, 8.0903649505695903_dp, 8.0903649034060905_dp, 8.0903640330000908_dp, &
+         & 8.0903581358679109_dp, 8.0903364573341303_dp, 8.0902786699223093_dp, 8.0901522015549805_dp, &
+         & 8.0899099917230703_dp, 8.0894887624501699_dp, 8.0888078785989403_dp, 8.0877688579645000_dp, &
+         & 8.0862555756896093_dp, 8.0841351897857194_dp, 8.0812597949244296_dp, 8.0774687902196494_dp, &
+         & 8.0725919236421895_dp, 8.0664529513944903_dp, 8.0588738256819603_dp, 8.0496792997861792_dp, &
+         & 8.0387018163818809_dp, 8.0257865250669091_dp, 8.0107962596498794_dp, 7.9936162964235500_dp, &
+         & 7.9741587128601497_dp, 7.9523661729925301_dp, 7.9282149817972396_dp, 7.9017172761194097_dp, &
+         & 7.8729222532535896_dp, 7.8419163785776096_dp, 7.8088225582192896_dp, 7.7737983086087201_dp, &
+         & 7.7370329986026602_dp, 7.6987442783840097_dp, 7.6591738397143798_dp, 7.6185826723529502_dp, &
+         & 7.5772459906359098_dp, 7.5354480026048298_dp, 7.4934766830360902_dp, 7.4516186934402402_dp, &
+         & 7.4101545692101496_dp, 7.3693542692808798_dp, 7.3294731592884101_dp, 7.2907484770649500_dp, &
+         & 7.2533963104791104_dp, 7.2176091025367297_dp, 7.1835536871610604_dp, 7.1513698506514203_dp, &
+         & 7.1211694077684804_dp, 7.0930357769724202_dp, 7.0670240358874299_dp, 7.0431614350575797_dp, &
+         & 7.0214483451187304_dp, 7.0018596093914498_dp, 6.9843462704568600_dp, 6.9688376354425996_dp, &
+         & 6.9552436405092397_dp, 6.9434574704358898_dp, 6.9333583843596100_dp, 6.9248146937984796_dp, &
+         & 6.9176868343225397_dp, 6.9118304679402698_dp, 6.9070995498057401_dp, 6.9033492906207501_dp, &
+         & 6.9004389455046002_dp, 6.8982343614901902_dp, 6.8966102194585703_dp, 6.8954519124077001_dp, &
+         & 6.8946570104809304_dp, 6.8941362740108802_dp, 6.8938141886526800_dp, 6.8936290110242702_dp, &
+         & 6.8935323285586803_dp, 6.8934881528439798_dp, 6.8934715808954099_dp, 6.8934670729129301_dp, &
+         & 6.8934664075437704_dp, 6.8934663562241001_dp, 6.8934654346873900_dp, 6.8934591911370200_dp, &
+         & 6.8934362391311303_dp, 6.8933750570937402_dp, 6.8932411595875802_dp, 6.8929847217445896_dp, &
+         & 6.8925387488327896_dp, 6.8918178699653296_dp, 6.8907178200446397_dp, 6.8891156571833001_dp, &
+         & 6.8868707439938097_dp, 6.8838265002335897_dp, 6.8798129113513102_dp, 6.8746497526948396_dp, &
+         & 6.8681504629532197_dp, 6.8601265735760899_dp, 6.8503925745606802_dp, 6.8387710725732802_dp, &
+         & 6.8250980765960296_dp, 6.8092282309983103_dp, 6.7910398078854204_dp, 6.7704392712133004_dp, &
+         & 6.7473652353569404_dp, 6.7217916606889903_dp, 6.6937301574822303_dp, 6.6632313054217498_dp, &
+         & 6.6303849367789498_dp, 6.5953193739655402_dp, 6.5581996537563096_dp, 6.5192248082413800_dp, &
+         & 6.4786243044722696_dp, 6.4366537695755799_dp, 6.3935901454719604_dp, 6.3497264276343603_dp, &
+         & 6.3053661463783301_dp, 6.2608177479537197_dp, 6.2163890270139301_dp, 6.1723817524046298_dp, &
+         & 6.1290866149095402_dp, 6.0867786088031304_dp, 6.0457129391176396_dp, 6.0061215241138504_dp, &
+         & 5.9682101386557598_dp, 5.9321562204825797_dp, 5.8981073393332704_dp, 5.8661803099407397_dp, &
+         & 5.8364609150839497_dp, 5.8090041945926396_dp, 5.7838352502452803_dp, 5.7609505141764403_dp, &
+         & 5.7403194286693200_dp, 5.7218864868899999_dp, 5.7055735861361399_dp, 5.6912826466541198_dp, &
+         & 5.6788984494488597_dp, 5.6682916455098100_dp, 5.6593218865374402_dp, 5.6518410238563099_dp, &
+         & 5.6456963182122903_dp, 5.6407335991650500_dp, 5.6368003094564800_dp, 5.6337483677152198_dp, &
+         & 5.6314367827396801_dp, 5.6297339548636502_dp, 5.6285196048665798_dp, 5.6276862786604100_dp, &
+         & 5.6271403864694696_dp, 5.6268027481042600_dp, 5.6266086307077403_dp, 5.6265072813612100_dp, &
+         & 5.6264609734205404_dp, 5.6264436016182602_dp, 5.6264388760578701_dp, 5.6264381785747402_dp, &
+         & 5.6264381257634097_dp, 5.6264371902160697_dp, 5.6264308517422998_dp, 5.6264075507994598_dp, &
+         & 5.6263454387121703_dp, 5.6262095062608299_dp, 5.6259491729650497_dp, 5.6254964311848603_dp, &
+         & 5.6247646264246898_dp, 5.6236479405610602_dp, 5.6220216280552897_dp, 5.6197430364164802_dp, &
+         & 5.6166534211049903_dp, 5.6125805416640304_dp, 5.6073420002699201_dp, 5.6007492565062202_dp, &
+         & 5.5926122237337497_dp, 5.5827443240504504_dp, 5.5709678519627097_dp, 5.5571194732534197_dp, &
+         & 5.5410556670280400_dp, 5.5226579074533300_dp, 5.5018373790095003_dp, 5.4785390265225198_dp, &
+         & 5.4527447596534397_dp, 5.4244756610017797_dp, 5.3937930867947799_dp, 5.3607985976049504_dp, &
+         & 5.3256327110095203_dp, 5.2884725249967603_dp, 5.2495283159166100_dp, 5.2090392631839197_dp, &
+         & 5.1672684902953998_dp, 5.1244976344637196_dp, 5.0810211633947002_dp, 5.0371406476776599_dp, &
+         & 4.9931591734129599_dp, 4.9493760463690002_dp, 4.9060819013905803_dp, 4.8635542940707603_dp, &
+         & 4.8220538198263903_dp, 4.7818207807507997_dp, 4.7430724034363898_dp, 4.7060006004216604_dp, &
+         & 4.6707702622675198_dp, 4.6375180645687104_dp, 4.6063517728059900_dp, 4.5773500267159397_dp, &
+         & 4.5505625842118400_dp, 4.5260110026670297_dp, 4.5036897326500203_dp, 4.4835675961356802_dp, &
+         & 4.4655896179341799_dp, 4.4496791756257599_dp, 4.4357404296402603_dp, 4.4236609912183500_dp, &
+         & 4.4133147818044103_dp, 4.4045650329876498_dp, 4.3972673715747304_dp, 4.3912729300066502_dp, &
+         & 4.3864314184978603_dp, 4.3825940924233304_dp, 4.3796165470919597_dp, 4.3773612725781099_dp, &
+         & 4.3756999041200801_dp, 4.3745151089853502_dp, 4.3737020587337598_dp, 4.3731694463733204_dp, &
+         & 4.3728400207001696_dp, 4.3726506246610199_dp, 4.3725517402520797_dp, 4.3725065585534004_dp, &
+         & 4.3724896092420398_dp, 4.3724849986092904_dp, 4.3724843180892199_dp, 4.3724842670023598_dp, &
+         & 4.3724833678156596_dp, 4.3724772756904597_dp, 4.3724548803492604_dp, 4.3723951822498099_dp, &
+         & 4.3722645326826202_dp, 4.3720143164763297_dp, 4.3715791675657600_dp, 4.3708757953094803_dp, &
+         & 4.3698024852060202_dp, 4.3682393214963300_dp, 4.3660491609299896_dp, 4.3630793665892798_dp, &
+         & 4.3591642880699597_dp, 4.3541284496564696_dp, 4.3477903818261296_dp, 4.3399670042479404_dp, &
+         & 4.3304784415690296_dp, 4.3191531282396403_dp, 4.3058330372273499_dp, 4.2903788516486800_dp, &
+         & 4.2726748899339402_dp, 4.2526335956090602_dp, 4.2301994129797196_dp, 4.2053518899734303_dp, &
+         & 4.1781078782594401_dp, 4.1485227367906496_dp, 4.1166904856993201_dp, 4.0827429002838800_dp, &
+         & 4.0468475769178998_dp, 4.0092050417053002_dp, 3.9700450067690300_dp, 3.9296219069895200_dp, &
+         & 3.8882098711482902_dp, 3.8460972955109800_dp, 3.8035811948548299_dp, 3.7609615058737100_dp, &
+         & 3.7185355109590699_dp, 3.6765925369265999_dp, 3.6354090640111600_dp, 3.5952443564496699_dp, &
+         & 3.5563366986740901_dp, 3.5189002923067201_dp, 3.4831228406842398_dp, 3.4491638213418598_dp, &
+         & 3.4171534242781898_dp, 3.3871921159474199_dp, 3.3593507762971599_dp, 3.3336713487459502_dp, &
+         & 3.3101679402477400_dp, 3.2888283096285500_dp, 3.2696156860864498_dp, 3.2524708649269201_dp, &
+         & 3.2373145331247901_dp, 3.2240497821894900_dp, 3.2125647693325501_dp, 3.2027354896526399_dp, &
+         & 3.1944286218246098_dp, 3.1875044077559198_dp, 3.1818195232638700_dp, 3.1772298926377101_dp, &
+         & 3.1735933957186000_dp, 3.1707724126498200_dp, 3.1686361494776998_dp, 3.1670626879746901_dp, &
+         & 3.1659407058826599_dp, 3.1651708194887500_dp, 3.1646665090422998_dp, 3.1643545987412298_dp, &
+         & 3.1641752763721098_dp, 3.1640816525080102_dp, 3.1640388746654700_dp, 3.1640228271671900_dp, &
+         & 3.1640184618535798_dp, 3.1640178175422600_dp, 3.1640177693206901_dp, 3.1640169225256498_dp, &
+         & 3.1640111853633801_dp, 3.1639900949287201_dp, 3.1639338754253301_dp, 3.1638108396666200_dp, &
+         & 3.1635752085939801_dp, 3.1631654351861500_dp, 3.1625031082838002_dp, 3.1614924993171698_dp, &
+         & 3.1600208005151700_dp, 3.1579590866175899_dp, 3.1551640131285299_dp, 3.1514802425634798_dp, &
+         & 3.1467435659875100_dp, 3.1407846607585599_dp, 3.1334333974980901_dp, 3.1245235810397198_dp, &
+         & 3.1138979829738700_dp, 3.1014134992417599_dp, 3.0869462470451201_dp, 3.0703964031376700_dp, &
+         & 3.0516925821513801_dp, 3.0307955603602799_dp, 3.0077011679488499_dp, 2.9824422014038001_dp, &
+         & 2.9550892461911702_dp, 2.9257503466351902_dp, 2.8945695122986699_dp, 2.8617241049437001_dp, &
+         & 2.8274212036909199_dp, 2.7918930945526799_dp, 2.7553920705879902_dp, 2.7181847576016200_dp, &
+         & 2.6805461955736698_dp, 2.6427539069891299_dp, 2.6050821703210700_dp, 2.5677966917056199_dp, &
+         & 2.5311498329666802_dp, 2.4953765129512799_dp, 2.4606908552941298_dp, 2.4272836128164901_dp, &
+         & 2.3953203598906199_dp, 2.3649404116355801_dp, 2.3362564042305398_dp, 2.3093544544998998_dp, &
+         & 2.2842948089736401_dp, 2.2611128919293102_dp, 2.2398206670919301_dp, 2.2204082370766800_dp, &
+         & 2.2028456166220201_dp, 2.1870846285919199_dp, 2.1730608842470498_dp, 2.1606958202911701_dp, &
+         & 2.1498987738929798_dp, 2.1405690827796802_dp, 2.1325982004129500_dp, 2.1258718162839201_dp, &
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+         & 0.0017556854589458_dp, 0.0017555287695128_dp, 0.0017554699926734_dp, 0.0017554540042095_dp, &
+         & 0.0017554516443567_dp, 0.0017554514586457_dp, 0.0017554480759863_dp, 0.0017554251581089_dp, &
+         & 0.0017553409116484_dp, 0.0017551163574758_dp, 0.0017546250071323_dp, 0.0017536843226722_dp, &
+         & 0.0017520494349306_dp, 0.0017494096255497_dp, 0.0017453881045579_dp, 0.0017395456208273_dp, &
+         & 0.0017313884035293_dp, 0.0017203808256046_dp, 0.0017059629815392_dp, 0.0016875730683630_dp, &
+         & 0.0016646740497404_dp, 0.0016367835888627_dp, 0.0016035056995527_dp, 0.0015645620544653_dp, &
+         & 0.0015198204895857_dp, 0.0014693180475298_dp, 0.0014132759894210_dp, 0.0013521046260951_dp, &
+         & 0.0012863965752370_dp, 0.0012169080816822_dp, 0.0011445292254866_dp, 0.0010702450240920_dp, &
+         & 0.0009950904338947_dp, 0.0009201029147690_dp, 0.0008462764332542_dp, 0.0007745205148098_dp, &
+         & 0.0007056272623824_dp, 0.0006402482566834_dp, 0.0005788821069981_dp, 0.0005218723065532_dp, &
+         & 0.0004694141177097_dp, 0.0004215685732056_dp, 0.0003782813695548_dp, 0.0003394044231673_dp, &
+         & 0.0003047180911668_dp, 0.0002739524412103_dp, 0.0002468064062295_dp, 0.0002229641133233_dp, &
+         & 0.0002021080809129_dp, 0.0001839293001478_dp, 0.0001681344404236_dp, 0.0001544505494504_dp, &
+         & 0.0001426276762722_dp, 0.0001324398547737_dp, 0.0001236848640271_dp, 0.0001161831384593_dp, &
+         & 1.0977614086904500e-04_dp, 1.0432444216768001e-04_dp, 9.9705684638351499e-05_dp, 9.5812550396701099e-05_dp, &
+         & 9.2550817695880001e-05_dp, 8.9837562132544195e-05_dp, 8.7599541995331306e-05_dp, 8.5771792322830706e-05_dp, &
+         & 8.4296438519260205e-05_dp, 8.3121727891821706e-05_dp, 8.2201267263215500e-05_dp, 8.1493446801417195e-05_dp, &
+         & 8.0961024417902595e-05_dp, 8.0570840783167301e-05_dp, 8.0293631899763795e-05_dp, 8.0103904565476100e-05_dp, &
+         & 7.9979839959776200e-05_dp, 7.9903192645502900e-05_dp, 7.9859156313588601e-05_dp, 7.9836173577874106e-05_dp, &
+         & 7.9825674445643799e-05_dp, 7.9821736164831196e-05_dp, 7.9820664883101204e-05_dp, 7.9820506764249899e-05_dp, &
+         & 7.9820494212512499e-05_dp, 7.9820264140551003e-05_dp, 7.9818705385648099e-05_dp, 7.9812975464221795e-05_dp, &
+         & 7.9797703355311000e-05_dp, 7.9764289644401702e-05_dp, 7.9700332575427497e-05_dp, 7.9589217591546899e-05_dp, &
+         & 7.9409912901340403e-05_dp, 7.9137018284214405e-05_dp, 7.8741116761094104e-05_dp, 7.8189476093726298e-05_dp, &
+         & 7.7447136542119197e-05_dp, 7.6478400508506197e-05_dp, 7.5248706600916594e-05_dp, 7.3726826638420602e-05_dp, &
+         & 7.1887271312576204e-05_dp, 6.9712735816906997e-05_dp, 6.7196368712885105e-05_dp, 6.4343616584139300e-05_dp, &
+         & 6.1173393676838800e-05_dp, 5.7718357711067397e-05_dp, 5.4024145043740598e-05_dp, 5.0147527954180800e-05_dp, &
+         & 4.6153593725506398e-05_dp, 4.2112187941256700e-05_dp, 3.8093980776920903e-05_dp, 3.4166571612814798e-05_dp, &
+         & 3.0391021432762999e-05_dp, 2.6819102197705998e-05_dp, 2.3491417309173799e-05_dp, 2.0436431737991300e-05_dp, &
+         & 1.7670385082268998e-05_dp, 1.5198028878060700e-05_dp, 1.3014083876328200e-05_dp, 1.1105227333274600e-05_dp, &
+         & 9.4523303371118993e-06_dp, 8.0326449563017394e-06_dp, 6.8217254654001602e-06_dp, 5.7949935694523396e-06_dp, &
+         & 4.9289224097748300e-06_dp, 4.2017970756091901e-06_dp, 3.5939964906361899e-06_dp, 3.0878435204329001e-06_dp, &
+         & 2.6672754724899101e-06_dp, 2.3176876453589999e-06_dp, 2.0261344086946998e-06_dp, 1.7817619912818800e-06_dp, &
+         & 1.5761115719215000e-06_dp, 1.4029351689259801e-06_dp, 1.2575230989853000e-06_dp, 1.1359570297742001e-06_dp, &
+         & 1.0346595011867500e-06_dp, 9.5025094815071000e-07_dp, 8.7961009676007496e-07_dp, 8.2009608171063096e-07_dp, &
+         & 7.6978063745514202e-07_dp, 7.2745241652683003e-07_dp, 6.9235229283037803e-07_dp, 6.6384161456767298e-07_dp, &
+         & 6.4120795961741795e-07_dp, 6.2364434150197202e-07_dp, 6.1031642673015096e-07_dp, 6.0043279859201004e-07_dp, &
+         & 5.9328581514250800e-07_dp, 5.8826599413919201e-07_dp, 5.8486130960488904e-07_dp, 5.8264969382548802e-07_dp, &
+         & 5.8128950009006499e-07_dp, 5.8051021945004798e-07_dp, 5.8010416026377200e-07_dp, 5.7991881163843604e-07_dp, &
+         & 5.7984931167709398e-07_dp, 5.7983040768760898e-07_dp, 5.7982761880737101e-07_dp, 5.7982738610462505e-07_dp, &
+         & 5.7982293455438604e-07_dp, 5.7979278267339396e-07_dp, 5.7968195754654104e-07_dp, 5.7938670749990696e-07_dp, &
+         & 5.7874141212721497e-07_dp, 5.7750881765627995e-07_dp, 5.7537521591655097e-07_dp, 5.7195239122620499e-07_dp, &
+         & 5.6678783622032803e-07_dp, 5.5938294529767095e-07_dp, 5.4921616587932899e-07_dp, 5.3576546044098397e-07_dp, &
+         & 5.1852541460562005e-07_dp, 4.9702164695020201e-07_dp, 4.7083169008033099e-07_dp, 4.3960893592043201e-07_dp, &
+         & 4.0305973847409902e-07_dp, 3.6078136922412801e-07_dp, 3.1193492766590199e-07_dp, 2.5491524624499101e-07_dp, &
+         & 3.5527136788005001e-15_dp, 1.7763568394002501e-15_dp, 1.7763568394002501e-15_dp, 1.7763568394002501e-15_dp, &
+         & 2.0151311908023199e-07_dp, 2.4833635237087000e-07_dp, 2.9165804882325098e-07_dp, 3.3351508577084101e-07_dp, &
+         & 3.7239304440106501e-07_dp, 4.0453966398956698e-07_dp, 4.2577172543190003e-07_dp, 4.3430020291168598e-07_dp, &
+         & 4.3264735438697201e-07_dp, 4.2692113488840299e-07_dp, 4.2417301848729499e-07_dp, 4.2917375608908499e-07_dp, &
+         & 4.4185533276675002e-07_dp, 4.5809152204867598e-07_dp, 4.7317594820128798e-07_dp, 4.8393435569948895e-07_dp, &
+         & 4.8898350790693701e-07_dp, 4.8849602052314399e-07_dp, 4.8361430060595001e-07_dp, 4.7613965570292299e-07_dp, &
+         & 4.6880105308844101e-07_dp, 4.6456729663191302e-07_dp, 4.6488564819924202e-07_dp, 4.6918384732919099e-07_dp, &
+         & 4.7582467033180402e-07_dp, 4.8277650499528601e-07_dp, 4.8814106712313798e-07_dp, 4.9104722599224704e-07_dp, &
+         & 4.9204263241620104e-07_dp, 4.9243517707964202e-07_dp, 4.9328280127269895e-07_dp, 4.9491799281042901e-07_dp, &
+         & 4.9711895044879405e-07_dp, 4.9948439873048798e-07_dp, 5.0167764165109898e-07_dp, 5.0350393188125498e-07_dp, &
+         & 5.0489991032520699e-07_dp, 5.0589338407292004e-07_dp, 5.0655939709542995e-07_dp, 5.0698481679489802e-07_dp, &
+         & 5.0724663225309996e-07_dp, 5.0740328916276699e-07_dp, 5.0749478219813703e-07_dp, 5.0754669089769798e-07_dp, &
+         & 5.0757485503538604e-07_dp, 5.0758906233738799e-07_dp, 5.0759543945844101e-07_dp, 5.0759781267117898e-07_dp, &
+         & 5.0759845571235505e-07_dp, 5.0759855163562396e-07_dp, 5.0759854985926701e-07_dp, 5.0759843617243003e-07_dp, &
+         & 5.0759766878627499e-07_dp, 5.0759487102425304e-07_dp, 5.0758760572478000e-07_dp, 5.0757267722190104e-07_dp, &
+         & 5.0754776559358603e-07_dp, 5.0751572011620304e-07_dp, 5.0749314972620099e-07_dp, 5.0752448466084801e-07_dp, &
+         & 5.0770057313798102e-07_dp, 5.0817669894342998e-07_dp, 5.0917887506329904e-07_dp, 5.1098093933887899e-07_dp, &
+         & 5.1383031163254600e-07_dp, 5.1780216914210097e-07_dp, 5.2258741156663301e-07_dp, 5.2729627064707095e-07_dp, &
+         & 5.3047101111758397e-07_dp, 5.3052088766492002e-07_dp, 5.2656548632512599e-07_dp, 5.1925634281246900e-07_dp, &
+         & 5.1090037445078504e-07_dp, 5.0453545874518103e-07_dp, 5.0235831139389099e-07_dp, 5.0426579001339199e-07_dp, &
+         & 5.0736741918910898e-07_dp, 5.0760794323423397e-07_dp, 5.0307500032431605e-07_dp, 4.9582189731722803e-07_dp, &
+         & 4.9002611035575704e-07_dp, 4.8842157873707503e-07_dp, 4.8930655616175003e-07_dp, 4.8519260609225501e-07_dp, &
+         & 4.6662046493395300e-07_dp, 4.2962270008217702e-07_dp, 3.7852911383140498e-07_dp, 1.7763568394002501e-15_dp, &
+         & 1.7763568394002501e-15_dp, 1.7763568394002501e-15_dp, 1.7763568394002501e-15_dp, 1.7763568394002501e-15_dp, &
+         & 1.7763568394002501e-15_dp, 1.7763568394002501e-15_dp, 1.7763568394002501e-15_dp, 0.0000000000000000e+00_dp, &
+         & 1.7763568394002501e-15_dp, 1.7763568394002501e-15_dp, 1.7763568394002501e-15_dp, 1.7763568394002501e-15_dp, &
+         & 0.0000000000000000e+00_dp, 1.7763568394002501e-15_dp, 3.5527136788005001e-15_dp, 1.7763568394002501e-15_dp, &
+         & 0.0000000000000000e+00_dp, 1.7763568394002501e-15_dp, 1.7763568394002501e-15_dp, 1.7763568394002501e-15_dp, &
+         & 1.7763568394002501e-15_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 1.7763568394002501e-15_dp, &
+         & 1.7763568394002501e-15_dp, 1.7763568394002501e-15_dp, 1.7763568394002501e-15_dp, 1.7763568394002501e-15_dp, &
+         & 1.7763568394002501e-15_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 1.7763568394002501e-15_dp, &
+         & 1.7763568394002501e-15_dp, 1.7763568394002501e-15_dp, 1.7763568394002501e-15_dp, 1.7763568394002501e-15_dp, &
+         & 0.0000000000000000_dp &
+         &]
+      case (11)
+         out = [&
+         & 11.0000000000000000_dp, 10.9999999950043001_dp, 10.9999998405263995_dp, 10.9999987939147008_dp, &
+         & 10.9999949464364999_dp, 10.9999846902956993_dp, 10.9999622440875999_dp, 10.9999192534849008_dp, &
+         & 10.9998444817340992_dp, 10.9997236018862008_dp, 10.9995390996674995_dp, 10.9992702926167993_dp, &
+         & 10.9988934676726995_dp, 10.9983821359002008_dp, 10.9977073996182995_dp, 10.9968384239213997_dp, &
+         & 10.9957430015982993_dp, 10.9943881977975000_dp, 10.9927410585610996_dp, 10.9907693655729002_dp, &
+         & 10.9884424181756994_dp, 10.9857318229133991_dp, 10.9826122705208995_dp, 10.9790622804150999_dp, &
+         & 10.9750648932859001_dp, 10.9706082933321998_dp, 10.9656863430030000_dp, 10.9602990147712003_dp, &
+         & 10.9544527064830000_dp, 10.9481604291741998_dp, 10.9414418589300002_dp, 10.9343232473627001_dp, &
+         & 10.9268371885757993_dp, 10.9190222440065003_dp, 10.9109224302352992_dp, 10.9025865786002996_dp, &
+         & 10.8940675791460997_dp, 10.8854215249206998_dp, 10.8767067757661007_dp, 10.8679829633849003_dp, &
+         & 10.8593099614781998_dp, 10.8507468460424992_dp, 10.8423508714140997_dp, 10.8341764873383006_dp, &
+         & 10.8262744212228998_dp, 10.8186908478686998_dp, 10.8114666664280996_dp, 10.8046369012326000_dp, &
+         & 10.7982302395794996_dp, 10.7922687156950001_dp, 10.7867675460372006_dp, 10.7817351169865994_dp, &
+         & 10.7771731219218001_dp, 10.7730768407888000_dp, 10.7694355516571001_dp, 10.7662330604874992_dp, &
+         & 10.7634483324925991_dp, 10.7610562061182993_dp, 10.7590281688535008_dp, 10.7573331728341994_dp, &
+         & 10.7559384675681002_dp, 10.7548104270736005_dp, 10.7539153493090005_dp, 10.7532202069349001_dp, &
+         & 10.7526933301789001_dp, 10.7523050047973001_dp, 10.7520279708041002_dp, 10.7518378106698993_dp, &
+         & 10.7517132190154001_dp, 10.7516361493279007_dp, 10.7515918368328993_dp, 10.7515687002439009_dp, &
+         & 10.7515581286087993_dp, 10.7515541627691000_dp, 10.7515530839595002_dp, 10.7515529247292001_dp, &
+         & 10.7515529038415991_dp, 10.7515524171842998_dp, 10.7515491200050004_dp, 10.7515369991533003_dp, &
+         & 10.7515046888604004_dp, 10.7514339757721000_dp, 10.7512985410092003_dp, 10.7510629852113997_dp, &
+         & 10.7506821741741998_dp, 10.7501009332163999_dp, 10.7492541081315007_dp, 10.7480669998113001_dp, &
+         & 10.7464561687651994_dp, 10.7443305951519008_dp, 10.7415931699562996_dp, 10.7381424838794004_dp, &
+         & 10.7338748726002997_dp, 10.7286866704470008_dp, 10.7224766192101999_dp, 10.7151483747661995_dp, &
+         & 10.7066130511969995_dp, 10.6967917400159997_dp, 10.6856179407685001_dp, 10.6730398386174006_dp, &
+         & 10.6590223646089992_dp, 10.6435489754138999_dp, 10.6266230918432996_dp, 10.6082691398780007_dp, &
+         & 10.5885331448358002_dp, 10.5674828390345006_dp, 10.5452072560616994_dp, 10.5218158003421003_dp, &
+         & 10.4974367985411998_dp, 10.4722155585247005_dp, 10.4463119808713998_dp, 10.4198977859671000_dp, &
+         & 10.3931534351373003_dp, 10.3662648359859002_dp, 10.3394199293014992_dp, 10.3128052572178994_dp, &
+         & 10.2866026098529009_dp, 10.2609858409129995_dp, 10.2361179325364002_dp, 10.2121483769613004_dp, &
+         & 10.1892109285026997_dp, 10.1674217647776004_dp, 10.1468780819803008_dp, 10.1276571358803995_dp, &
+         & 10.1098157284887993_dp, 10.0933901301832005_dp, 10.0783964184786008_dp, 10.0648312074408004_dp, &
+         & 10.0526727357349994_dp, 10.0418822762547002_dp, 10.0324058259470998_dp, 10.0241760306948997_dp, &
+         & 10.0171142968297993_dp, 10.0111330380394001_dp, 10.0061380041572008_dp, 10.0020306367370004_dp, &
+         & 9.9987103955784207_dp, 9.9960770006981505_dp, 9.9940325358020896_dp, 9.9924833622705904_dp, &
+         & 9.9913417970913692_dp, 9.9905275140853291_dp, 9.9899686350842192_dp, 9.9896024862767696_dp, &
+         & 9.9893760044960693_dp, 9.9892457884691908_dp, 9.9891778006338292_dp, 9.9891467356689994_dp, &
+         & 9.9891350820050402_dp, 9.9891319119142494_dp, 9.9891314440150705_dp, 9.9891314027084803_dp, &
+         & 9.9891305933260206_dp, 9.9891251096355997_dp, 9.9891049509320702_dp, 9.9890512146347596_dp, &
+         & 9.9889336110433007_dp, 9.9887083745275493_dp, 9.9883166501349603_dp, 9.9876834221817994_dp, &
+         & 9.9867170372234995_dp, 9.9853093581028194_dp, 9.9833365687870792_dp, 9.9806606316865505_dp, &
+         & 9.9771313803985695_dp, 9.9725892117059907_dp, 9.9668683215963494_dp, 9.9598004115333794_dp, &
+         & 9.9512187737184892_dp, 9.9409626481581999_dp, 9.9288817305445605_dp, 9.9148406988046407_dp, &
+         & 9.8987236182451195_dp, 9.8804380811045505_dp, 9.8599189366684392_dp, 9.8371314735593405_dp, &
+         & 9.8120739270042296_dp, 9.7847792012628592_dp, 9.7553157211094099_dp, 9.7237873559433492_dp, &
+         & 9.6903323947732591_dp, 9.6551215882902408_dp, 9.6183553132178705_dp, 9.5802599513597801_dp, &
+         & 9.5410836084211308_dp, 9.5010913231860599_dp, 9.4605599340589297_dp, 9.4197727763130406_dp, &
+         & 9.3790143796811893_dp, 9.3385653232254207_dp, 9.2986973846159096_dp, 9.2596690964113808_dp, &
+         & 9.2217217952003896_dp, 9.1850762228847795_dp, 9.1499297148724406_dp, 9.1164539888154295_dp, &
+         & 9.0847935304659195_dp, 9.0550645603349995_dp, 9.0273545557766095_dp, 9.0017222972239903_dp, &
+         & 8.9781984037624696_dp, 8.9567863211910606_dp, 8.9374637244392403_dp, 8.9201842950346606_dp, &
+         & 8.9048798328042800_dp, 8.8914626588587993_dp, 8.8798282640530797_dp, 8.8698581535893801_dp, &
+         & 8.8614228344256407_dp, 8.8543848879695393_dp, 8.8486020665684606_dp, 8.8439303489858894_dp, &
+         & 8.8402268878474093_dp, 8.8373527813893400_dp, 8.8351756031394100_dp, 8.8335716266977293_dp, &
+         & 8.8324276887374094_dp, 8.8316426417226399_dp, 8.8311283585009495_dp, 8.8308102635486492_dp, &
+         & 8.8306273797750094_dp, 8.8305318948410196_dp, 8.8304882662730293_dp, 8.8304718995756009_dp, &
+         & 8.8304674474261695_dp, 8.8304667902978498_dp, 8.8304667375880292_dp, 8.8304657648243801_dp, &
+         & 8.8304591742039005_dp, 8.8304349463308203_dp, 8.8303703632940405_dp, 8.8302290227540592_dp, &
+         & 8.8299583304968294_dp, 8.8294875686836995_dp, 8.8287266234147896_dp, 8.8275654395754302_dp, &
+         & 8.8258742532474503_dp, 8.8235046321674204_dp, 8.8202913327360601_dp, 8.8160549579428800_dp, &
+         & 8.8106053744575394_dp, 8.8037458194952691_dp, 8.7952775996472603_dp, 8.7850052557831209_dp, &
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+         & 3.6663274030956900e-05_dp, 3.0983438088938401e-05_dp, 2.6139844905514999e-05_dp, 2.2072233605285901e-05_dp, &
+         & 1.8655348663187999e-05_dp, 1.5667980660438699e-05_dp, 1.2886093818664800e-05_dp, 1.0245351779403200e-05_dp, &
+         & 7.7487976390955299e-06_dp, 5.4592474096892804e-06_dp, 3.4921726541625701e-06_dp, 1.9524789856006902e-06_dp, &
+         & 8.9678122883185604e-07_dp, 3.5147629340315202e-07_dp, 3.2323229426367598e-07_dp, 4.6182741719746900e-07_dp, &
+         & 5.6275677096095901e-07_dp, 5.6803036407870898e-07_dp, 5.1468837369839104e-07_dp, 4.4155949119328900e-07_dp, &
+         & 3.7358728377512302e-07_dp, 3.1998607497030202e-07_dp, 2.7996154550180600e-07_dp, 1.7763568394002501e-15_dp, &
+         & 3.5527136788005001e-15_dp, 0.0000000000000000e+00_dp, 1.7763568394002501e-15_dp, 3.5527136788005001e-15_dp, &
+         & 1.7763568394002501e-15_dp, 3.5527136788005001e-15_dp, 1.7763568394002501e-15_dp, 0.0000000000000000e+00_dp, &
+         & 3.5527136788005001e-15_dp, 1.7763568394002501e-15_dp, 0.0000000000000000e+00_dp, 3.5527136788005001e-15_dp, &
+         & 3.5527136788005001e-15_dp &
+         &]
+      case (12)
+         out = [&
+         & 12.0000000000000000_dp, 11.9999999943144999_dp, 11.9999998185066001_dp, 11.9999986273804993_dp, &
+         & 11.9999942486485995_dp, 11.9999825763557997_dp, 11.9999570308059003_dp, 11.9999081041036000_dp, &
+         & 11.9998230078949994_dp, 11.9996854368674999_dp, 11.9994754581317995_dp, 11.9991695328715000_dp, &
+         & 11.9987406727272994_dp, 11.9981587294064997_dp, 11.9973908121116999_dp, 11.9964018236745993_dp, &
+         & 11.9951551028874004_dp, 11.9936131575264007_dp, 11.9917384700432006_dp, 11.9894943559036999_dp, &
+         & 11.9868458530999007_dp, 11.9837606204624993_dp, 11.9802098220295008_dp, 11.9761689748583002_dp, &
+         & 11.9716187382697008_dp, 11.9665456235455991_dp, 11.9609426045504996_dp, 11.9548096115841993_dp, &
+         & 11.9481538930079001_dp, 11.9409902318058005_dp, 11.9333410072635004_dp, 11.9252360953421999_dp, &
+         & 11.9167126050825996_dp, 11.9078144524262992_dp, 11.8985917771095000_dp, 11.8891002126323002_dp, &
+         & 11.8794000236048998_dp, 11.8695551288240004_dp, 11.8596320320825992_dp, 11.8496986857761009_dp, &
+         & 11.8398233146913991_dp, 11.8300732288395007_dp, 11.8205136547337997_dp, 11.8112066141091994_dp, &
+         & 11.8022098777299007_dp, 11.7935760197271993_dp, 11.7853515949285992_dp, 11.7775764580272000_dp, &
+         & 11.7702832393325991_dp, 11.7634969873969002_dp, 11.7572349841759998_dp, 11.7515067337038008_dp, &
+         & 11.7463141206641009_dp, 11.7416517308612995_dp, 11.7375073215139007_dp, 11.7338624256267998_dp, &
+         & 11.7306930715099007_dp, 11.7279705958689000_dp, 11.7256625268600008_dp, 11.7237335121065005_dp, &
+         & 11.7221462659564999_dp, 11.7208625102294999_dp, 11.7198438833517997_dp, 11.7190527940974007_dp, &
+         & 11.7184531981003008_dp, 11.7180112778197998_dp, 11.7176960096673994_dp, 11.7174796054449999_dp, &
+         & 11.7173378190113002_dp, 11.7172501130759006_dp, 11.7171996851174001_dp, 11.7171733555088995_dp, &
+         & 11.7171613249120998_dp, 11.7171568117581995_dp, 11.7171555840651003_dp, 11.7171554028599001_dp, &
+         & 11.7171553790896006_dp, 11.7171548252701996_dp, 11.7171510730567991_dp, 11.7171372794422997_dp, &
+         & 11.7171005101083008_dp, 11.7170200381629996_dp, 11.7168659126625005_dp, 11.7165978492633993_dp, &
+         & 11.7161644858847005_dp, 11.7155030355169991_dp, 11.7145393566372000_dp, 11.7131884494777001_dp, &
+         & 11.7113553740453007_dp, 11.7089365737367004_dp, 11.7058215770308003_dp, 11.7018950394101999_dp, &
+         & 11.6970390786321001_dp, 11.6911358488779005_dp, 11.6840702931796994_dp, 11.6757330087549995_dp, &
+         & 11.6660231562894001_dp, 11.6548513415699997_dp, 11.6421423960218995_dp, 11.6278379815783008_dp, &
+         & 11.6118989450542998_dp, 11.5943073481575993_dp, 11.5750681019799000_dp, 11.5542101399556998_dp, &
+         & 11.5317870714841995_dp, 11.5078772701779002_dp, 11.4825833661756995_dp, 11.4560311308704996_dp, &
+         & 11.4283677639570005_dp, 11.3997596156930996_dp, 11.3703894001197998_dp, 11.3404529760057002_dp, &
+         & 11.3101557898612004_dp, 11.2797090881825000_dp, 11.2493260132883997_dp, 11.2192176983999001_dp, &
+         & 11.1895894732440002_dp, 11.1606372821846005_dp, 11.1325444037842001_dp, 11.1054785450580003_dp, &
+         & 11.0795893667957994_dp, 11.0550064793561003_dp, 11.0318379322285995_dp, 11.0101692060688006_dp, &
+         & 10.9900627031952993_dp, 10.9715577218159996_dp, 10.9546708903926007_dp, 10.9393970313356999_dp, &
+         & 10.9257104173049004_dp, 10.9135663784604997_dp, 10.9029032147773002_dp, 10.8936443637895994_dp, &
+         & 10.8857007707728997_dp, 10.8789734053922995_dp, 10.8733558663384002_dp, 10.8687370136153998_dp, &
+         & 10.8650035671580998_dp, 10.8620426105888992_dp, 10.8597439404083005_dp, 10.8580022039454001_dp, &
+         & 10.8567187740897992_dp, 10.8558033152199993_dp, 10.8551750027626994_dp, 10.8547633682892002_dp, &
+         & 10.8545087527093003_dp, 10.8543623616030001_dp, 10.8542859286462008_dp, 10.8542510049735004_dp, &
+         & 10.8542379037650001_dp, 10.8542343399060002_dp, 10.8542338138874008_dp, 10.8542337674499993_dp, &
+         & 10.8542328575313007_dp, 10.8542266926930004_dp, 10.8542040300135003_dp, 10.8541436190035991_dp, &
+         & 10.8540114078039007_dp, 10.8537581953469999_dp, 10.8533178186065999_dp, 10.8526059502873000_dp, &
+         & 10.8515195665820006_dp, 10.8499371271533995_dp, 10.8477194905141001_dp, 10.8447115677202000_dp, &
+         & 10.8407446960535001_dp, 10.8356396925310996_dp, 10.8292105250981994_dp, 10.8212685177830004_dp, &
+         & 10.8116269855302995_dp, 10.8001061755606997_dp, 10.7865383756126008_dp, 10.7707730360627991_dp, &
+         & 10.7526817434380000_dp, 10.7321628780441003_dp, 10.7091457891763007_dp, 10.6835943284690007_dp, &
+         & 10.6555095961131006_dp, 10.6249317763851003_dp, 10.5919409681917003_dp, 10.5566569525181002_dp, &
+         & 10.5192378803221995_dp, 10.4798779093173007_dp, 10.4388038632647007_dp, 10.3962710295253995_dp, &
+         & 10.3525582463574004_dp, 10.3079624579322005_dp, 10.2627929303396002_dp, 10.2173653251782994_dp, &
+         & 10.1719958192168995_dp, 10.1269954407203997_dp, 10.0826647678991002_dp, 10.0392891055126992_dp, &
+         & 9.9971342249223092_dp, 9.9564427234133905_dp, 9.9174310323831794_dp, 9.8802870821836493_dp, &
+         & 9.8451686145004995_dp, 9.8122021209505395_dp, 9.7814823784626199_dp, 9.7530725470737103_dp, &
+         & 9.7270047930309609_dp, 9.7032813985979907_dp, 9.6818763189109696_dp, 9.6627371449949901_dp, &
+         & 9.6457874302153108_dp, 9.6309293347807703_dp, 9.6180465393954098_dp, 9.6070073748848799_dp, &
+         & 9.5976681098522896_dp, 9.5898763334967505_dp, 9.5834743660905897_dp, 9.5783026257421806_dp, &
+         & 9.5742028774736294_dp, 9.5710212897992992_dp, 9.5686112253261495_dp, 9.5668356957328697_dp, &
+         & 9.5655694180064899_dp, 9.5647004180419906_dp, 9.5641311394763502_dp, 9.5637790295892806_dp, &
+         & 9.5635765897447307_dp, 9.5634708945294395_dp, 9.5634226007425500_dp, 9.5634044839512100_dp, &
+         & 9.5633995557329392_dp, 9.5633988283378208_dp, 9.5633987699917302_dp, 9.5633976932103799_dp, &
+         & 9.5633903978543895_dp, 9.5633635792955403_dp, 9.5632920904146008_dp, 9.5631356364663294_dp, &
+         & 9.5628359996980308_dp, 9.5623149014900495_dp, 9.5614725947985306_dp, 9.5601872624425006_dp, &
+         & 9.5583152772624604_dp, 9.5556923582820197_dp, 9.5521356326255802_dp, 9.5474465860756492_dp, &
+         & 9.5414148559841507_dp, 9.5338227892718503_dp, 9.5244506563205800_dp, 9.5130823799612401_dp, &
+         & 9.4995116091632692_dp, 9.4835479414454404_dp, 9.4650230786472491_dp, 9.4437966897072698_dp, &
+         & 9.4197617534077391_dp, 9.3928491650445700_dp, 9.3630314142430304_dp, 9.3303251762120105_dp, &
+         & 9.2947927040219298_dp, 9.2565419622796394_dp, 9.2157254991982605_dp, 9.1725381102720700_dp, &
+         & 9.1272133982274894_dp, 9.0800193767582602_dp, 9.0312532968809904_dp, 8.9812358930540999_dp, &
+         & 8.9303052515004495_dp, 8.8788104968901909_dp, 8.8271054781701999_dp, 8.7755426129213703_dp, &
+         & 8.7244670252442802_dp, 8.6742110874177492_dp, 8.6250894522835200_dp, 8.5773946424830694_dp, &
+         & 8.5313932445660896_dp, 8.4873227403563494_dp, 8.4453889943171205_dp, 8.4057644035275203_dp, &
+         & 8.3685867059364405_dp, 8.3339584326732599_dp, 8.3019469813830806_dp, 8.2725852798982604_dp, &
+         & 8.2458730030946104_dp, 8.2217783004393308_dp, 8.2002399873143705_dp, 8.1811701493876505_dp, &
+         & 8.1644571057507402_dp, 8.1499686729259508_dp, 8.1375556679483196_dp, 8.1270555844896908_dp, &
+         & 8.1182963715330096_dp, 8.1111002397312095_dp, 8.1052874167482898_dp, 8.1006797701390596_dp, &
+         & 8.0971042152687502_dp, 8.0943958269628205_dp, 8.0924005774666199_dp, 8.0909776301774201_dp, &
+         & 8.0900011285767199_dp, 8.0893614326980607_dp, 8.0889657709473308_dp, 8.0887382925740194_dp, &
+         & 8.0886195248360000_dp, 8.0885652580702896_dp, 8.0885449006027006_dp, 8.0885393628656104_dp, &
+         & 8.0885385455067809_dp, 8.0885384824641893_dp, 8.0885373504216993_dp, 8.0885296806631395_dp, &
+         & 8.0885014857583197_dp, 8.0884263280249602_dp, 8.0882618447845100_dp, 8.0879468305842401_dp, &
+         & 8.0873989897149094_dp, 8.0865134566154797_dp, 8.0851621636604900_dp, 8.0831941153461102_dp, &
+         & 8.0804366049262892_dp, 8.0766973840044205_dp, 8.0717677674675095_dp, 8.0654266256816491_dp, &
+         & 8.0574451835866796_dp, 8.0475925131619501_dp, 8.0356415730338302_dp, 8.0213756185022707_dp, &
+         & 8.0045947790193495_dp, 7.9851225803179302_dp, 7.9628121770187104_dp, 7.9375520603192298_dp, &
+         & 7.9092710153417798_dp, 7.8779421241242602_dp, 7.8435856424050101_dp, 7.8062706197522598_dp, &
+         & 7.7661151810154703_dp, 7.7232854399193700_dp, 7.6779930701570001_dp, 7.6304916129470097_dp, &
+         & 7.5810716502939703_dp, 7.5300550178854300_dp, 7.4777882684874397_dp, 7.4246356236484203_dp, &
+         & 7.3709716663490497_dp, 7.3171740281963702_dp, 7.2636163110325098_dp, 7.2106614550499897_dp, &
+         & 7.1586557261004700_dp, 7.1079234479432998_dp, 7.0587625558670100_dp, 7.0114410017053697_dp, &
+         & 6.9661940011383701_dp, 6.9232220850396002_dp, 6.8826898982830302_dp, 6.8447256808883497_dp, &
+         & 6.8094213655076601_dp, 6.7768332293662699_dp, 6.7469830452796602_dp, 6.7198596831691404_dp, &
+         & 6.6954211191246102_dp, 6.6735968126782401_dp, 6.6542904142291501_dp, 6.6373827635273397_dp, &
+         & 6.6227351370439900_dp, 6.6101926973196896_dp, 6.5995880914728700_dp, 6.5907451395086900_dp, &
+         & 6.5834825464882103_dp, 6.5776175666314698_dp, 6.5729695426908004_dp, 6.5693632410816196_dp, &
+         & 6.5666319028817002_dp, 6.5646199333785198_dp, 6.5631851586703700_dp, 6.5622005870160596_dp, &
+         & 6.5615556250506204_dp, 6.5611567142699698_dp, 6.5609273707379803_dp, 6.5608076300053604_dp, &
+         & 6.5607529188499001_dp, 6.5607323947054104_dp, 6.5607268116309196_dp, 6.5607259875804704_dp, &
+         & 6.5607259251858601_dp, 6.5607248198714103_dp, 6.5607173312004301_dp, 6.5606898020100903_dp, &
+         & 6.5606164189604401_dp, 6.5604558202485297_dp, 6.5601482479776196_dp, 6.5596133567967598_dp, &
+         & 6.5587487756050002_dp, 6.5574295020191302_dp, 6.5555081897859200_dp, 6.5528163671269901_dp, &
+         & 6.5491665988737999_dp, 6.5443555770316904_dp, 6.5381680932040904_dp, 6.5303818125918101_dp, &
+         & 6.5207727340285500_dp, 6.5091211852424404_dp, 6.4952181693065896_dp, 6.4788718495636104_dp, &
+         & 6.4599139389326501_dp, 6.4382057481502697_dp, 6.4136436484769401_dp, 6.3861637192523801_dp, &
+         & 6.3557453797808003_dp, 6.3224138473241096_dp, 6.2862413159114103_dp, 6.2473468103029601_dp, &
+         & 6.2058947308950296_dp, 6.1620921634506196_dp, 6.1161850776236797_dp, 6.0684535768889898_dp, &
+         & 6.0192063880241502_dp, 5.9687747908954396_dp, 5.9175061907048097_dp, 5.8657575276834697_dp, &
+         & 5.8138887062369600_dp, 5.7622562090350398_dp, 5.7112070429530304_dp, 5.6610731437632902_dp, &
+         & 5.6121663451802899_dp, 5.5647739952914801_dp, 5.5191552797873600_dp, 5.4755382873589697_dp, &
+         & 5.4341178291576897_dp, 5.3950540025158702_dp, 5.3584714703815504_dp, 5.3244594130303300_dp, &
+         & 5.2930720980627699_dp, 5.2643300084576499_dp, 5.2382214660502600_dp, 5.2147046883993600_dp, &
+         & 5.1937102195398399_dp, 5.1751436784786602_dp, 5.1588887724554002_dp, 5.1448105241366502_dp, &
+         & 5.1327586625115798_dp, 5.1225711260932902_dp, 5.1140776242208101_dp, 5.1071031982100097_dp, &
+         & 5.1014717194609398_dp, 5.0970092571964800_dp, 5.0935472451472901_dp, 5.0909253750476502_dp, &
+         & 5.0889941459780399_dp, 5.0876170028968799_dp, 5.0866720054006000_dp, 5.0860529788044104_dp, &
+         & 5.0856701137210596_dp, 5.0854499968450799_dp, 5.0853350738312999_dp, 5.0852825640622399_dp, &
+         & 5.0852628657549701_dp, 5.0852575073302200_dp, 5.0852567164376801_dp, 5.0852566570651199_dp, &
+         & 5.0852556120407897_dp, 5.0852485318450098_dp, 5.0852225042639096_dp, 5.0851531240395103_dp, &
+         & 5.0850012858508302_dp, 5.0847104927096698_dp, 5.0842047858382804_dp, 5.0833873884034499_dp, &
+         & 5.0821401396816404_dp, 5.0803237781482400_dp, 5.0777791113462296_dp, 5.0743290869205504_dp, &
+         & 5.0697817527477804_dp, 5.0639340647323303_dp, 5.0565764690263402_dp, 5.0474981520452697_dp, &
+         & 5.0364928180578596_dp, 5.0233648221372604_dp, 5.0079354580323399_dp, 4.9900491783985101_dp, &
+         & 4.9695795111187104_dp, 4.9464344321533904_dp, 4.9205609639350598_dp, 4.8919487894501801_dp, &
+         & 4.8606327055989702_dp, 4.8266937839968103_dp, 4.7902591609699696_dp, 4.7515004382115400_dp, &
+         & 4.7106307379290397_dp, 4.6679005175203496_dp, 4.6235923049726999_dp, 4.5780145636126397_dp, &
+         & 4.5314949303642003_dp, 4.4843730929100998_dp, 4.4369935767580397_dp, 4.3896987030904100_dp, &
+         & 4.3428219536336199_dp, 4.2966819420617801_dp, 4.2515771460744700_dp, 4.2077815042870004_dp, &
+         & 4.1655409316132097_dp, 4.1250707597507397_dp, 4.0865540688260298_dp, 4.0501408443687898_dp, &
+         & 4.0159478716238999_dp, 3.9840592667849002_dp, 3.9545275411781700_dp, 3.9273750982241400_dp, &
+         & 3.9025960722556001_dp, 3.8801584309564499_dp, 3.8600062773497399_dp, 3.8420623012000399_dp, &
+         & 3.8262303420196999_dp, 3.8123980355837701_dp, 3.8004395223555001_dp, 3.7902181992757700_dp, &
+         & 3.7815894960894498_dp, 3.7744036541882400_dp, 3.7685084805100200_dp, 3.7637520422048998_dp, &
+         & 3.7599852605361401_dp, 3.7570643558471599_dp, 3.7548530903736901_dp, 3.7532247530634102_dp, &
+         & 3.7520638310346599_dp, 3.7512673162409200_dp, 3.7507456033839599_dp, 3.7504229458934399_dp, &
+         & 3.7502374503256202_dp, 3.7501406050527399_dp, 3.7500963556775200_dp, 3.7500797562140500_dp, &
+         & 3.7500752407579601_dp, 3.7500745742861201_dp, 3.7500745244060099_dp, 3.7500736484862900_dp, &
+         & 3.7500677140023302_dp, 3.7500458982271900_dp, 3.7499877455005102_dp, 3.7498604802904700_dp, &
+         & 3.7496167545262500_dp, 3.7491929206972698_dp, 3.7485079122224501_dp, 3.7474628009340298_dp, &
+         & 3.7459410877529300_dp, 3.7438097661604601_dp, 3.7409211782753200_dp, 3.7371156597406201_dp, &
+         & 3.7322249420303999_dp, 3.7260762494796000_dp, 3.7184969941949002_dp, 3.7093199365392602_dp, &
+         & 3.6983886442677099_dp, 3.6855630523269500_dp, 3.6707249008502600_dp, 3.6537828140504298_dp, &
+         & 3.6346767802885398_dp, 3.6133818056172302_dp, 3.5899105405456702_dp, 3.5643147222743701_dp, &
+         & 3.5366853303264500_dp, 3.5071514189901798_dp, 3.4758776606480200_dp, 3.4430607043905201_dp, &
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+         & 0.1593697527933230_dp, 0.1545920055401990_dp, 0.1499992314500980_dp, 0.1456136639036030_dp, &
+         & 0.1414533812384950_dp, 0.1375323506539400_dp, 0.1338605724245470_dp, 0.1304443026329060_dp, &
+         & 0.1272863325985920_dp, 0.1243863046410900_dp, 0.1217410463750390_dp, 0.1193449089884830_dp, &
+         & 0.1171900985129620_dp, 0.1152669926267520_dp, 0.1135644387729840_dp, 0.1120700321269190_dp, &
+         & 0.1107703740840740_dp, 0.1096513134020590_dp, 0.1086981729094790_dp, 0.1078959648391270_dp, &
+         & 0.1072295974300880_dp, 0.1066840745837910_dp, 0.1062446891826510_dp, 0.1058972093319350_dp, &
+         & 0.1056280554167340_dp, 0.1054244646247400_dp, 0.1052746386050650_dp, 0.1051678693220420_dp, &
+         & 0.1050946379935010_dp, 0.1050466823061720_dp, 0.1050170278623330_dp, 0.1049999809738720_dp, &
+         & 0.1049910813888940_dp, 0.1049870151925400_dp, 0.1049854898376810_dp, 0.1049850749056650_dp, &
+         & 0.1049850136626220_dp, 0.1049850088430690_dp, 0.1049849210559600_dp, 0.1049843262862980_dp, &
+         & 0.1049821398638320_dp, 0.1049763117697470_dp, 0.1049635576635930_dp, 0.1049391340754550_dp, &
+         & 0.1048966676693920_dp, 0.1048280479034190_dp, 0.1047233916918590_dp, 0.1045710876879010_dp, &
+         & 0.1043579263834950_dp, 0.1040693201968320_dp, 0.1036896149351740_dp, 0.1032024903925630_dp, &
+         & 0.1025914433732210_dp, 0.1018403412513290_dp, 0.1009340285585870_dp, 0.0998589634457776_dp, &
+         & 0.0986038557302180_dp, 0.0971602742303510_dp, 0.0955231888269079_dp, 0.0936914127311290_dp, &
+         & 0.0916679131785312_dp, 0.0894599643525833_dp, 0.0870791246224076_dp, 0.0845410306641927_dp, &
+         & 0.0818650129245277_dp, 0.0790735491224197_dp, 0.0761915838875300_dp, 0.0732457520195346_dp, &
+         & 0.0702635492253272_dp, 0.0672724968688545_dp, 0.0642993460031906_dp, 0.0613693609682677_dp, &
+         & 0.0585057147873904_dp, 0.0557290184677530_dp, 0.0530569952659423_dp, 0.0505043001870362_dp, &
+         & 0.0480824754638594_dp, 0.0458000252637909_dp, 0.0436625878140067_dp, 0.0416731806014621_dp, &
+         & 0.0398324940760073_dp, 0.0381392109391339_dp, 0.0365903311065239_dp, 0.0351814862439461_dp, &
+         & 0.0339072319016953_dp, 0.0327613093108585_dp, 0.0317368725628064_dp, 0.0308266799857169_dp, &
+         & 0.0300232509740663_dp, 0.0293189913118574_dp, 0.0287062912063689_dp, 0.0281776008923291_dp, &
+         & 0.0277254888605736_dp, 0.0273426875923395_dp, 0.0270221312139878_dp, 0.0267569887958725_dp, &
+         & 0.0265406961664105_dp, 0.0263669881602624_dp, 0.0262299322291728_dp, 0.0261239633777102_dp, &
+         & 0.0260439195056996_dp, 0.0259850755041420_dp, 0.0259431739137685_dp, 0.0259144496542980_dp, &
+         & 0.0258956462890563_dp, 0.0258840215021738_dp, 0.0258773399094814_dp, 0.0258738519526283_dp, &
+         & 0.0258722583760349_dp, 0.0258716605865708_dp, 0.0258714979748635_dp, 0.0258714739737727_dp, &
+         & 0.0258714720682729_dp, 0.0258714371475612_dp, 0.0258712005554553_dp, 0.0258703308307684_dp, &
+         & 0.0258680125633290_dp, 0.0258629395953900_dp, 0.0258532261846671_dp, 0.0258363405198594_dp, &
+         & 0.0258090650034468_dp, 0.0257674876971485_dp, 0.0257070291522226_dp, 0.0256225083812236_dp, &
+         & 0.0255082508202076_dp, 0.0253582396478453_dp, 0.0251663096836072_dp, 0.0249263802746640_dp, &
+         & 0.0246327202032539_dp, 0.0242802339351282_dp, 0.0238647548476631_dp, 0.0233833278949405_dp, &
+         & 0.0228344620161440_dp, 0.0222183319863074_dp, 0.0215369107474093_dp, 0.0207940167412541_dp, &
+         & 0.0199952663070864_dp, 0.0191479283973148_dp, 0.0182606869896027_dp, 0.0173433246951831_dp, &
+         & 0.0164063481616772_dp, 0.0154605810123094_dp, 0.0145167525721543_dp, 0.0135851101958497_dp, &
+         & 0.0126750797378659_dp, 0.0117949931001675_dp, 0.0109518946672829_dp, 0.0101514307845800_dp, &
+         & 0.0093978192405828_dp, 0.0086938897886615_dp, 0.0080411825852895_dp, 0.0074400891837865_dp, &
+         & 0.0068900202730635_dp, 0.0063895853885505_dp, 0.0059367719582699_dp, 0.0055291138469720_dp, &
+         & 0.0051638425749516_dp, 0.0048380172154356_dp, 0.0045486313457825_dp, 0.0042926972471502_dp, &
+         & 0.0040673088515160_dp, 0.0038696858059346_dp, 0.0036972015253678_dp, 0.0035473982799203_dp, &
+         & 0.0034179922661703_dp, 0.0033068713333861_dp, 0.0032120876740294_dp, 0.0031318474209545_dp, &
+         & 0.0030644987545667_dp, 0.0030085198115746_dp, 0.0029625073906541_dp, 0.0029251671630046_dp, &
+         & 0.0028953058201306_dp, 0.0028718253346422_dp, 0.0028537192797362_dp, 0.0028400709537770_dp, &
+         & 0.0028300528933602_dp, 0.0028229272362488_dp, 0.0028180463212184_dp, 0.0028148528900260_dp, &
+         & 0.0028128792890953_dp, 0.0028117451522149_dp, 0.0028111531719937_dp, 0.0028108827236277_dp, &
+         & 0.0028107812743361_dp, 0.0028107536781619_dp, 0.0028107496050413_dp, 0.0028107492787033_dp, &
+         & 0.0028107432608841_dp, 0.0028107024895494_dp, 0.0028105526139690_dp, 0.0028101531326250_dp, &
+         & 0.0028092790394627_dp, 0.0028076056670905_dp, 0.0028046975997107_dp, 0.0028000025978159_dp, &
+         & 0.0027928515397146_dp, 0.0027824654059341_dp, 0.0027679702659231_dp, 0.0027484210224902_dp, &
+         & 0.0027228342831567_dp, 0.0026902301311740_dp, 0.0026496817628647_dp, 0.0026003709845668_dp, &
+         & 0.0025416465123822_dp, 0.0024730810291000_dp, 0.0023945221982746_dp, 0.0023061324989762_dp, &
+         & 0.0022084129868301_dp, 0.0021022070050627_dp, 0.0019886814619205_dp, 0.0018692854317734_dp, &
+         & 0.0017456882679276_dp, 0.0016197017736026_dp, 0.0014931928609823_dp, 0.0013679941949043_dp, &
+         & 0.0012458203859929_dp, 0.0011281964017673_dp, 0.0010164032237263_dp, 0.0009114436962481_dp, &
+         & 0.0008140292760181_dp, 0.0007245862383964_dp, 0.0006432780751116_dp, 0.0005700396032378_dp, &
+         & 0.0005046179209920_dp, 0.0004466157851724_dp, 0.0003955339357322_dp, 0.0003508098995599_dp, &
+         & 0.0003118515801699_dp, 0.0002780645367668_dp, 0.0002488725109604_dp, 0.0002237315522358_dp, &
+         & 0.0002021387948972_dp, 0.0001836372209993_dp, 0.0001678175265134_dp, 0.0001543177657410_dp, &
+         & 0.0001428211617220_dp, 0.0001330524917389_dp, 0.0001247736307324_dp, 0.0001177789009468_dp, &
+         & 1.1189071915218600e-04_dp, 1.0695574948194100e-04_dp, 1.0284153554529500e-04_dp, 9.9433499562096004e-05_dp, &
+         & 9.6632234061644299e-05_dp, 9.4351086030286497e-05_dp, 9.2514075049621197e-05_dp, 9.1054180243688206e-05_dp, &
+         & 8.9911996706604200e-05_dp, 8.9034727899672803e-05_dp, 8.8375460029155306e-05_dp, 8.7892658156007997e-05_dp, &
+         & 8.7549825229515905e-05_dp, 8.7315269368559698e-05_dp, 8.7161929018364503e-05_dp, 8.7067210245095298e-05_dp, &
+         & 8.7012796537777604e-05_dp, 8.6984399331413402e-05_dp, 8.6971427073478895e-05_dp, 8.6966561163137599e-05_dp, &
+         & 8.6965237557023997e-05_dp, 8.6965042196851500e-05_dp, 8.6965026403262895e-05_dp, 8.6964733357675100e-05_dp, &
+         & 8.6962747962715498e-05_dp, 8.6955449770442797e-05_dp, 8.6935998057313695e-05_dp, 8.6893441581636894e-05_dp, &
+         & 8.6811991113933104e-05_dp, 8.6670505336172696e-05_dp, 8.6442248720786097e-05_dp, 8.6094987873153200e-05_dp, &
+         & 8.5591497846593297e-05_dp, 8.4890548274430002e-05_dp, 8.3948426265578705e-05_dp, 8.2721024286413995e-05_dp, &
+         & 8.1166471666449497e-05_dp, 7.9248215572036402e-05_dp, 7.6938362818523802e-05_dp, 7.4220988857121001e-05_dp, &
+         & 7.1095029200662893e-05_dp, 6.7576328911300693e-05_dp, 6.3698478077966997e-05_dp, 5.9512224359181700e-05_dp, &
+         & 5.5083495691832200e-05_dp, 5.0490293116212101e-05_dp, 4.5818805208597302e-05_dp, 4.1158993964174301e-05_dp, &
+         & 3.6599705104833902e-05_dp, 3.2223312134149798e-05_dp, 2.8100237669193000e-05_dp, 2.4284330695678601e-05_dp, &
+         & 2.0810501574430900e-05_dp, 1.7695566059572299e-05_dp, 1.4941784396427201e-05_dp, 1.2540984863918000e-05_dp, &
+         & 1.0476918065549500e-05_dp, 8.7253101668238708e-06_dp, 7.2537457782573298e-06_dp, 6.0243930839476400e-06_dp, &
+         & 5.0000895992496899e-06_dp, 4.1502159344730697e-06_dp, 3.4513947539949198e-06_dp, 2.8817740851394500e-06_dp, &
+         & 2.4138166327958301e-06_dp, 2.0132111160364700e-06_dp, 1.6468820263071399e-06_dp, 1.2945998530966601e-06_dp, &
+         &  9.5551129497550804e-07_dp, 6.4622150652837696e-07_dp, 3.9496273629424602e-07_dp, -1.7763568394002501e-14_dp, &
+         & -1.7763568394002501e-14_dp, -1.7763568394002501e-14_dp, -1.7763568394002501e-14_dp, -1.7763568394002501e-14_dp, &
+         & -1.7763568394002501e-14_dp, -1.9539925233402799e-14_dp, -1.7763568394002501e-14_dp, -1.7763568394002501e-14_dp, &
+         & -1.7763568394002501e-14_dp, -1.7763568394002501e-14_dp, -1.7763568394002501e-14_dp, -1.5987211554602302e-14_dp, &
+         & -1.7763568394002501e-14_dp, -1.7763568394002501e-14_dp, -1.5987211554602302e-14_dp, -1.7763568394002501e-14_dp, &
+         & -1.7763568394002501e-14_dp, -1.7763568394002501e-14_dp, -1.7763568394002501e-14_dp, -1.7763568394002501e-14_dp, &
+         & -1.5987211554602302e-14_dp, -1.7763568394002501e-14_dp, -1.7763568394002501e-14_dp, -1.7763568394002501e-14_dp, &
+         & -1.5987211554602302e-14_dp &
+         &]
+      case (13)
+         out = [&
+         & 13.0000000000000000_dp, 12.9999999936151003_dp, 12.9999997961824008_dp, 12.9999984585448995_dp, &
+         & 12.9999935412182008_dp, 12.9999804332035005_dp, 12.9999517454810007_dp, 12.9998968006421993_dp, &
+         & 12.9998012372789002_dp, 12.9996467443443997_dp, 12.9994109368404001_dp, 12.9990673799795005_dp, &
+         & 12.9985857645737006_dp, 12.9979322319343993_dp, 12.9970698421962005_dp, 12.9959591758290998_dp, &
+         & 12.9945590543020995_dp, 12.9928273625205009_dp, 12.9907219528531002_dp, 12.9882016083456993_dp, &
+         & 12.9852270411084003_dp, 12.9817619008689995_dp, 12.9777737682661005_dp, 12.9732351075940997_dp, &
+         & 12.9681241543545003_dp, 12.9624257140817001_dp, 12.9561318504786005_dp, 12.9492424428890995_dp, &
+         & 12.9417655955762001_dp, 12.9337178841570992_dp, 12.9251244278932997_dp, 12.9160187803342996_dp, &
+         & 12.9064426350466004_dp, 12.8964453477613006_dp, 12.8860832811375001_dp, 12.8754189833297001_dp, &
+         & 12.8645202164740997_dp, 12.8534588558768004_dp, 12.8423096848708997_dp, 12.8311491138196008_dp, &
+         & 12.8200538543849003_dp, 12.8090995818329993_dp, 12.7983596187236000_dp, 12.7879036727978992_dp, &
+         & 12.7777966602867004_dp, 12.7680976432737001_dp, 12.7588589063079993_dp, 12.7501251933117992_dp, &
+         & 12.7419331211421998_dp, 12.7343107811311995_dp, 12.7272775346956006_dp, 12.7208440038609005_dp, &
+         & 12.7150122524097000_dp, 12.7097761484852008_dp, 12.7051218949562994_dp, 12.7010287097914993_dp, &
+         & 12.6974696351584004_dp, 12.6944124510538003_dp, 12.6918206670172005_dp, 12.6896545639456999_dp, &
+         & 12.6878722572278999_dp, 12.6864307523863999_dp, 12.6852869651368998_dp, 12.6843986792391004_dp, &
+         & 12.6837254176809004_dp, 12.6832292055454001_dp, 12.6828752062868002_dp, 12.6826322169932002_dp, &
+         & 12.6824730124270992_dp, 12.6823745321049000_dp, 12.6823179092657004_dp, 12.6822883451742996_dp, &
+         & 12.6822748366704996_dp, 12.6822697690955000_dp, 12.6822683905856994_dp, 12.6822681871203002_dp, &
+         & 12.6822681604298992_dp, 12.6822675385762000_dp, 12.6822633254199992_dp, 12.6822478373221994_dp, &
+         & 12.6822065510488002_dp, 12.6821161935431999_dp, 12.6819431346747002_dp, 12.6816421418042005_dp, &
+         & 12.6811555444096999_dp, 12.6804128449900997_dp, 12.6793307993995992_dp, 12.6778139760813993_dp, &
+         & 12.6757557898328006_dp, 12.6730399922094001_dp, 12.6695425879164993_dp, 12.6651341349160997_dp, &
+         & 12.6596823757907995_dp, 12.6530551393076998_dp, 12.6451234441236000_dp, 12.6357647310453007_dp, &
+         & 12.6248661459804001_dp, 12.6123277924379007_dp, 12.5980658699730004_dp, 12.5820156132928993_dp, &
+         & 12.5641339460512995_dp, 12.5444017641322993_dp, 12.5228257661610005_dp, 12.4994397549066001_dp, &
+         & 12.4743053429612001_dp, 12.4475120101407999_dp, 12.4191764786019991_dp, 12.3894413942750994_dp, &
+         & 12.3584733288499997_dp, 12.3264601436464005_dp, 12.2936077833123996_dp, 12.2601365913593003_dp, &
+         & 12.2262772591538003_dp, 12.1922665336514005_dp, 12.1583428159920999_dp, 12.1247417828876003_dp, &
+         & 12.0916921559971993_dp, 12.0594117322577006_dp, 12.0281037718138002_dp, 11.9979538213826995_dp, &
+         & 11.9691270311110003_dp, 11.9417660036015008_dp, 11.9159891958195008_dp, 11.8918898787078007_dp, &
+         & 11.8695356458643992_dp, 11.8489684515642999_dp, 11.8302051495320004_dp, 11.8132384968102997_dp, &
+         & 11.7980385814074999_dp, 11.7845546277183004_dp, 11.7727171296536000_dp, 11.7624402577393994_dp, &
+         & 11.7536244830282008_dp, 11.7461593575237995_dp, 11.7399263880568991_dp, 11.7348019383966005_dp, &
+         & 11.7306600930948992_dp, 11.7273754164588997_dp, 11.7248255413950009_dp, 11.7228935259297007_dp, &
+         & 11.7214699201241004_dp, 11.7204544929325998_dp, 11.7197575772372993_dp, 11.7193010016441992_dp, &
+         & 11.7190185893442003_dp, 11.7188562170490993_dp, 11.7187714402293004_dp, 11.7187327041212992_dp, &
+         & 11.7187181727276997_dp, 11.7187142198228997_dp, 11.7187136363820006_dp, 11.7187135848752000_dp, &
+         & 11.7187125756260997_dp, 11.7187057378086994_dp, 11.7186806011841007_dp, 11.7186135955208002_dp, &
+         & 11.7184669519627995_dp, 11.7181860993499996_dp, 11.7176976546974991_dp, 11.7169080919652000_dp, &
+         & 11.7157031560220997_dp, 11.7139480695238998_dp, 11.7114885594853000_dp, 11.7081527078412009_dp, &
+         & 11.7037536065611008_dp, 11.6980927732615001_dp, 11.6909642582764999_dp, 11.6821593493919007_dp, &
+         & 11.6714717566710995_dp, 11.6587031378053005_dp, 11.6436688051072004_dp, 11.6262034395768001_dp, &
+         & 11.6061666264071004_dp, 11.5834480209038002_dp, 11.5579719551236000_dp, 11.5297013045996000_dp, &
+         & 11.4986404521185008_dp, 11.4648372120878008_dp, 11.4283836143958002_dp, 11.3894154898178996_dp, &
+         & 11.3481108480104993_dp, 11.3046870910464996_dp, 11.2593971566589008_dp, 11.2125247319041996_dp, &
+         & 11.1643787160399999_dp, 11.1152871379890996_dp, 11.0655907469773993_dp, 11.0156364944115008_dp, &
+         & 10.9657711119062000_dp, 10.9163349669632002_dp, 10.8676563473457009_dp, 10.8200462912075999_dp, &
+         & 10.7737940458619992_dp, 10.7291632064324993_dp, 10.6863885584185994_dp, 10.6456736264052001_dp, &
+         & 10.6071889148955005_dp, 10.5710708160594997_dp, 10.5374211521420005_dp, 10.5063073162571996_dp, &
+         & 10.4777629731931992_dp, 10.4517892806576995_dp, 10.4283565903248991_dp, 10.4074065865088006_dp, &
+         & 10.3888548179442992_dp, 10.3725935748484996_dp, 10.3584950591788001_dp, 10.3464147909710995_dp, &
+         & 10.3361951881222005_dp, 10.3276692513521997_dp, 10.3206642808347997_dp, 10.3150055466084005_dp, &
+         & 10.3105198319411997_dp, 10.3070387678165005_dp, 10.3044018781020004_dp, 10.3024592591083994_dp, &
+         & 10.3010738243314997_dp, 10.3001230552342005_dp, 10.2995002117744008_dp, 10.2991149716500008_dp, &
+         & 10.2988934843550002_dp, 10.2987778444063007_dp, 10.2987250067318996_dp, 10.2987051853623992_dp, &
+         & 10.2986997934567004_dp, 10.2986989976221999_dp, 10.2986989337863992_dp, 10.2986977556926007_dp, &
+         & 10.2986897739294996_dp, 10.2986604320620998_dp, 10.2985822169396002_dp, 10.2984110426376994_dp, &
+         & 10.2980832141003003_dp, 10.2975130885072002_dp, 10.2965915360608005_dp, 10.2951852830939004_dp, &
+         & 10.2931371991001992_dp, 10.2902675653532008_dp, 10.2863763360617995_dp, 10.2812463734906991_dp, &
+         & 10.2746476063396006_dp, 10.2663420264712002_dp, 10.2560894037577999_dp, 10.2436535638405992_dp, &
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+         & 0.0009180993698390_dp, 0.0008313041496635_dp, 0.0007524783114619_dp, 0.0006810530309700_dp, &
+         & 0.0006163973582325_dp, 0.0005578524312586_dp, 0.0005047610320812_dp, 0.0004564920095582_dp, &
+         & 0.0004124593599926_dp, 0.0003721359866571_dp, 0.0003350623648632_dp, 0.0003008504852975_dp, &
+         & 0.0002691835486601_dp, 0.0002398120068587_dp, 0.0002125466969360_dp, 0.0001872499245099_dp, &
+         & 0.0001638253742975_dp, 0.0001422076688034_dp, 0.0001223522887699_dp, 0.0001042264226800_dp, &
+         & 8.7801139132537301e-05_dp, 7.3045095916768305e-05_dp, 5.9919836925104198e-05_dp, 4.8376598519084302e-05_dp, &
+         & 3.8354457993605699e-05_dp, 2.9779608384572501e-05_dp, 2.2573956023563800e-05_dp, 1.6620597319771898e-05_dp, &
+         & 1.1820781237403799e-05_dp, 8.0570414624503394e-06_dp, 5.2050373824386000e-06_dp, 3.1357606413706700e-06_dp, &
+         &  1.7179224052199501e-06_dp, 8.2052839545099200e-07_dp, 3.1570503900013602e-07_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp &
+         &]
+      case (14)
+         out = [&
+         & 14.0000000000000000_dp, 13.9999999928760008_dp, 13.9999997725868006_dp, 13.9999982800931999_dp, &
+         & 13.9999927934957995_dp, 13.9999781679871003_dp, 13.9999461591278003_dp, 13.9998848533853000_dp, &
+         & 13.9997782266997000_dp, 13.9996058480449008_dp, 13.9993427406337005_dp, 13.9989594087293003_dp, &
+         & 13.9984220331065004_dp, 13.9976928332332999_dp, 13.9967305893664999_dp, 13.9954913131356005_dp, &
+         & 13.9939290509715999_dp, 13.9919968010242997_dp, 13.9896475211077007_dp, 13.9868352027637997_dp, &
+         & 13.9835159847566999_dp, 13.9796492782141009_dp, 13.9751988751668996_dp, 13.9701340123744995_dp, &
+         & 13.9644303630064002_dp, 13.9580709299437995_dp, 13.9510468161440002_dp, 13.9433578496623998_dp, &
+         & 13.9350130435752000_dp, 13.9260308742048000_dp, 13.9164393647377000_dp, 13.9062759655611998_dp, &
+         & 13.8955872273863008_dp, 13.8844282684198994_dp, 13.8728620423653997_dp, 13.8609584197103004_dp, &
+         & 13.8487931003779003_dp, 13.8364463811419007_dp, 13.8240018059735998_dp, 13.8115447314674000_dp, &
+         & 13.7991608424740004_dp, 13.7869346548995999_dp, 13.7749480432180000_dp, 13.7632788295723003_dp, &
+         & 13.7519994694552992_dp, 13.7411758659610008_dp, 13.7308663406506000_dp, 13.7211207843463008_dp, &
+         & 13.7119800058710002_dp, 13.7034752910776998_dp, 13.6956281786674996_dp, 13.6884504534450997_dp, &
+         & 13.6819443519709001_dp, 13.6761029701780004_dp, 13.6709108575378000_dp, 13.6663447778936007_dp, &
+         & 13.6623746132100994_dp, 13.6589643832889998_dp, 13.6560733520328004_dp, 13.6536571891495999_dp, &
+         & 13.6516691553188991_dp, 13.6500612787991997_dp, 13.6487854922553993_dp, 13.6477947001973003_dp, &
+         & 13.6470437498180992_dp, 13.6464902811280009_dp, 13.6460954360246003_dp, 13.6458244102164006_dp, &
+         & 13.6456468366056001_dp, 13.6455369937081006_dp, 13.6454738378079998_dp, 13.6454408626645005_dp, &
+         & 13.6454257955759992_dp, 13.6454201433144000_dp, 13.6454186057548998_dp, 13.6454183788140995_dp, &
+         & 13.6454183490443004_dp, 13.6454176554423992_dp, 13.6454129561809996_dp, 13.6453956810996999_dp, &
+         & 13.6453496313140992_dp, 13.6452488486196994_dp, 13.6450558228932994_dp, 13.6447201031893997_dp, &
+         & 13.6441773664568000_dp, 13.6433489844317997_dp, 13.6421421147400004_dp, 13.6404503270128998_dp, &
+         & 13.6381547594214005_dp, 13.6351257859524999_dp, 13.6312251605098993_dp, 13.6263085909268007_dp, &
+         & 13.6202286845463991_dp, 13.6128381973349999_dp, 13.6039935105315006_dp, 13.5935582524558995_dp, &
+         & 13.5814069780492996_dp, 13.5674288147026996_dp, 13.5515309797699999_dp, 13.5336420728520999_dp, &
+         & 13.5137150447792997_dp, 13.4917297458143004_dp, 13.4676949588314994_dp, 13.4416498301120999_dp, &
+         & 13.4136646218737994_dp, 13.3838407273554001_dp, 13.3523099112900994_dp, 13.3192327653306997_dp, &
+         & 13.2847963980885009_dp, 13.2492114109625998_dp, 13.2127082414901000_dp, 13.1755329830899992_dp, &
+         & 13.1379428115892001_dp, 13.1002011631772994_dp, 13.0625728145391005_dp, 13.0253190138411998_dp, &
+         & 12.9886928017514993_dp, 12.9529346461381003_dp, 12.9182684943047992_dp, 12.8848983244765005_dp, &
+         & 12.8530052555499008_dp, 12.8227452523712007_dp, 12.7942474440883007_dp, 12.7676130561088002_dp, &
+         & 12.7429149421038996_dp, 12.7201976912354997_dp, 12.6994782769893995_dp, 12.6807472071813994_dp, &
+         & 12.6639701293232996_dp, 12.6490898410996007_dp, 12.6360286517921008_dp, 12.6246910368402006_dp, &
+         & 12.6149665242019999_dp, 12.6067327478109998_dp, 12.5998586003574005_dp, 12.5942074151226997_dp, &
+         & 12.5896401049770006_dp, 12.5860181862760001_dp, 12.5832066166075993_dp, 12.5810763784099997_dp, &
+         & 12.5795067456349994_dp, 12.5783871779128997_dp, 12.5776187960524997_dp, 12.5771154039818995_dp, &
+         & 12.5768040350696992_dp, 12.5766250147430991_dp, 12.5765315459024993_dp, 12.5764888382818008_dp, &
+         & 12.5764728170275006_dp, 12.5764684588435998_dp, 12.5764678155842997_dp, 12.5764677587966993_dp, &
+         & 12.5764666460724008_dp, 12.5764591071955003_dp, 12.5764313933986003_dp, 12.5763575179168008_dp, &
+         & 12.5761958398095004_dp, 12.5758861937784996_dp, 12.5753476756982003_dp, 12.5744771771509996_dp, &
+         & 12.5731487434744000_dp, 12.5712138088548997_dp, 12.5685023390250006_dp, 12.5648248873142006_dp, &
+         & 12.5599755434386999_dp, 12.5537357268829997_dp, 12.5458787485491001_dp, 12.5361750362382001_dp, &
+         & 12.5243978923284995_dp, 12.5103296267148991_dp, 12.4937678857797998_dp, 12.4745319800654002_dp, &
+         & 12.4524690006706003_dp, 12.4274595085125004_dp, 12.3994225827572002_dp, 12.3683200261106006_dp, &
+         & 12.3341595461461004_dp, 12.2969967637833992_dp, 12.2569359419899993_dp, 12.2141293783008003_dp, &
+         & 12.1687754612893997_dp, 12.1211154500500005_dp, 12.0714290927364996_dp, 12.0200292506638995_dp, &
+         & 11.9672557342475994_dp, 11.9134685829925004_dp, 11.8590410322231001_dp, 11.8043524043984007_dp, &
+         & 11.7497811444702993_dp, 11.6956981899454995_dp, 11.6424608309599993_dp, 11.5904071777927005_dp, &
+         & 11.5398513163989005_dp, 11.4910791994914998_dp, 11.4443452931317999_dp, 11.3998699774032008_dp, &
+         & 11.3578376843155997_dp, 11.3183957458241995_dp, 11.2816539185746993_dp, 11.2476845484554993_dp, &
+         & 11.2165233360721004_dp, 11.1881706628823991_dp, 11.1625934362056007_dp, 11.1397274091523997_dp, &
+         & 11.1194799284384995_dp, 11.1017330589533998_dp, 11.0863470289211996_dp, 11.0731639337068994_dp, &
+         & 11.0620116301021003_dp, 11.0527077466643995_dp, 11.0450637298903995_dp, 11.0388888411977000_dp, &
+         & 11.0339940164643000_dp, 11.0301954987674993_dp, 11.0273181564758005_dp, 11.0251984033561996_dp, &
+         & 11.0236866450788007_dp, 11.0226491874695007_dp, 11.0219695558728006_dp, 11.0215491916448993_dp, &
+         & 11.0213075104796001_dp, 11.0211813272210009_dp, 11.0211236721551007_dp, 11.0211020436049996_dp, &
+         & 11.0210961601012993_dp, 11.0210952917080007_dp, 11.0210952220521001_dp, 11.0210939365476008_dp, &
+         & 11.0210852270607997_dp, 11.0210532099996001_dp, 11.0209678637578996_dp, 11.0207810829995001_dp, &
+         & 11.0204233655547998_dp, 11.0198012607843001_dp, 11.0187956904823992_dp, 11.0172612329252004_dp, &
+         & 11.0150264374585998_dp, 11.0118952109099002_dp, 11.0076492879300005_dp, 11.0020517650879999_dp, &
+         & 10.9948516433527992_dp, 10.9857892860981003_dp, 10.9746026610295004_dp, 10.9610341960661994_dp, &
+         & 10.9448380433615995_dp, 10.9257875148663999_dp, 10.9036824299271000_dp, 10.8783561030810993_dp, &
+         & 10.8496817007988007_dp, 10.8175777109464999_dp, 10.7820122986202005_dp, 10.7430063657517003_dp, &
+         & 10.7006351870887002_dp, 10.6550285580484001_dp, 10.6063694558283004_dp, 10.5548912789172000_dp, &
+         & 10.5008737869826003_dp, 10.4446379091485007_dp, 10.3865396215706998_dp, 10.3269631143070999_dp, &
+         & 10.2663134737705999_dp, 10.2050091027403003_dp, 10.1434740877989000_dp, 10.0821307069100001_dp, &
+         & 10.0213922498179002_dp, 9.9616563023713596_dp, 9.9032986232926792_dp, 9.8466677183714300_dp, &
+         & 9.7920801925115395_dp, 9.7398169347143408_dp, 9.6901201656160492_dp, 9.6431913527216295_dp, &
+         & 9.5991899763099102_dp, 9.5582331103459808_dp, 9.5203957684509000_dp, 9.4857119552881901_dp, &
+         & 9.4541763582599891_dp, 9.4257466122918707_dp, 9.4003460705503095_dp, 9.3778670149375802_dp, &
+         & 9.3581742410388102_dp, 9.3411089520296304_dp, 9.3264928944256908_dp, 9.3141326653807006_dp, &
+         & 9.3038241167742299_dp, 9.2953567761200606_dp, 9.2885181991140406_dp, 9.2830981642927100_dp, &
+         & 9.2788926176733302_dp, 9.2757072752114400_dp, 9.2733607941116603_dp, 9.2716874309063506_dp, &
+         & 9.2705391149499405_dp, 9.2697868804362091_dp, 9.2693216178058293_dp, 9.2690541257761101_dp, &
+         & 9.2689144672855104_dp, 9.2688506553583405_dp, 9.2688267171704801_dp, 9.2688202053906092_dp, &
+         & 9.2688192442650994_dp, 9.2688191701338400_dp, 9.2688178389744404_dp, 9.2688088201698395_dp, &
+         & 9.2687756660331306_dp, 9.2686872888396898_dp, 9.2684938752932897_dp, 9.2681234567062400_dp, &
+         & 9.2674792690545598_dp, 9.2664380190809901_dp, 9.2648491518990603_dp, 9.2625351919768999_dp, &
+         & 9.2592932027155292_dp, 9.2548973798505596_dp, 9.2491027604993796_dp, 9.2416499930234206_dp, &
+         & 9.2322710735579196_dp, 9.2206959141595100_dp, 9.2066595666563895_dp, 9.1899098875903000_dp, &
+         & 9.1702153956530008_dp, 9.1473730464975898_dp, 9.1212156334787604_dp, 9.0916185191648893_dp, &
+         & 9.0585054132076994_dp, 9.0218529383604498_dp, 8.9816937681111497_dp, 8.9381181754331998_dp, &
+         & 8.8912739002719299_dp, 8.8413643201186503_dp, 8.7886449887623996_dp, 8.7334186874303992_dp, &
+         & 8.6760292037217592_dp, 8.6168541106127492_dp, 8.5562968548065594_dp, 8.4947784771700494_dp, &
+         & 8.4327292771921805_dp, 8.3705807009358395_dp, 8.3087576835349495_dp, 8.2476716205683491_dp, &
+         & 8.1877140855844903_dp, 8.1292513602709100_dp, 8.0726198033782204_dp, 8.0181220558183206_dp, &
+         & 7.9660240612863200_dp, 7.9165528718019704_dp, 7.8698952028128701_dp, 7.8261967004148101_dp, &
+         & 7.7855618820685200_dp, 7.7480547109968096_dp, 7.7136997629254003_dp, 7.6824839420155904_dp, &
+         & 7.6543587008459602_dp, 7.6292427171690500_dp, 7.6070249778028103_dp, 7.5875682172119197_dp, &
+         & 7.5707126548633799_dp, 7.5562799711388502_dp, 7.5440774564387798_dp, 7.5339022622990104_dp, &
+         & 7.5255456772537501_dp, 7.5187973444015297_dp, 7.5134493328833702_dp, 7.5092999725481997_dp, &
+         & 7.5061573607154903_dp, 7.5038424527930001_dp, 7.5021916550160404_dp, 7.5010588479340203_dp, &
+         & 7.5003167833765003_dp, 7.4998578150798103_dp, 7.4995939432638696_dp, 7.4994561753142603_dp, &
+         & 7.4993932272966104_dp, 7.4993696132081400_dp, 7.4993631895927804_dp, 7.4993622414802203_dp, &
+         & 7.4993621696919899_dp, 7.4993608979706803_dp, 7.4993522818684299_dp, 7.4993206081165402_dp, &
+         & 7.4992361771496503_dp, 7.4990514001491899_dp, 7.4986975228282100_dp, 7.4980821044781800_dp, &
+         & 7.4970873638080002_dp, 7.4955694835099802_dp, 7.4933589431148802_dp, 7.4902619242588901_dp, &
+         & 7.4860628036831702_dp, 7.4805277169625199_dp, 7.4734091402449900_dp, 7.4644513987547896_dp, &
+         & 7.4533969705983996_dp, 7.4399934142689403_dp, 7.4240007105028996_dp, 7.4051987765954097_dp, &
+         & 7.3833948869201498_dp, 7.3584307200850496_dp, 7.3301887532038297_dp, 7.2985977385661904_dp, &
+         & 7.2636370276971602_dp, 7.2253395511805296_dp, 7.1837933171424604_dp, 7.1391413533910102_dp, &
+         & 7.0915800837688199_dp, 7.0413561941484497_dp, 6.9887621039705996_dp, 6.9341302123159698_dp, &
+         & 6.8778261310618998_dp, 6.8202411502868401_dp, 6.7617842018815599_dp, 6.7028735958339203_dp, &
+         & 6.6439287997572700_dp, 6.5853625162553202_dp, 6.5275732855933297_dp, 6.4709388045589797_dp, &
+         & 6.4158101088125203_dp, 6.3625067185465802_dp, 6.3113127993435896_dp, 6.2624743451145504_dp, &
+         & 6.2161973508438697_dp, 6.1726469116748701_dp, 6.1319471627938098_dp, 6.0941819617391397_dp, &
+         & 6.0593962104109202_dp, 6.0275977167251504_dp, 5.9987595036665100_dp, 5.9728224843918500_dp, &
+         & 5.9496984340468497_dp, 5.9292732003464304_dp, 5.9114101043750500_dp, 5.8959534895580097_dp, &
+         & 5.8827323798703404_dp, 5.8715642080577002_dp, 5.8622585713132702_dp, 5.8546209661921100_dp, &
+         & 5.8484564475088199_dp, 5.8435731486762599_dp, 5.8397855945791903_dp, 5.8369177337642704_dp, &
+         & 5.8348056154357604_dp, 5.8332996391963201_dp, 5.8322663120627602_dp, 5.8315894580529504_dp, &
+         & 5.8311708402467701_dp, 5.8309301729978804_dp, 5.8308045219667699_dp, 5.8307471107358699_dp, &
+         & 5.8307255737627601_dp, 5.8307197151802601_dp, 5.8307188504656304_dp, 5.8307187855512304_dp, &
+         & 5.8307176429841503_dp, 5.8307099019237203_dp, 5.8306814449610398_dp, 5.8306055891030004_dp, &
+         & 5.8304395801922402_dp, 5.8301216524230899_dp, 5.8295687707251602_dp, 5.8286751598502304_dp, &
+         & 5.8273117078299199_dp, 5.8253263126792403_dp, 5.8225452192537999_dp, 5.8187753674613703_dp, &
+         & 5.8138077431707202_dp, 5.8074216890700203_dp, 5.7993900948216499_dp, 5.7894853451760602_dp, &
+         & 5.7774858629672101_dp, 5.7631830434972304_dp, 5.7463883406540699_dp, 5.7269402364482103_dp, &
+         & 5.7047108077844202_dp, 5.6796116001613601_dp, 5.6515985298611904_dp, 5.6206755652421903_dp, &
+         & 5.5868969838177698_dp, 5.5503680632159300_dp, 5.5112441376475800_dp, 5.4697280325633599_dp, &
+         & 5.4260659730819496_dp, 5.3805421402898901_dp, 5.3334721174486903_dp, 5.2851955200181102_dp, &
+         & 5.2360681350938796_dp, 5.1864539051286798_dp, 5.1367170776090703_dp, 5.0872148088613498_dp, &
+         & 5.0382904604456398_dp, 4.9902677661291897_dp, 4.9434459823162502_dp, 4.8980960710217998_dp, &
+         & 4.8544579071519998_dp, 4.8127384547906003_dp, 4.7731108225857497_dp, 4.7357140867786596_dp, &
+         & 4.7006537611190797_dp, 4.6680027940430202_dp, 4.6378029825985303_dp, 4.6100667070256103_dp, &
+         & 4.5847789070642202_dp, 4.5618992387492696_dp, 4.5413643668859800_dp, 4.5230903623117902_dp, &
+         & 4.5069751836512300_dp, 4.4929012301786901_dp, 4.4807379555885403_dp, 4.4703445321707900_dp, &
+         & 4.4615725515561797_dp, 4.4542687424477103_dp, 4.4482776783468596_dp, 4.4434444400579496_dp, &
+         & 4.4396171896199297_dp, 4.4366496051852398_dp, 4.4344031211115302_dp, 4.4327489149111603_dp, &
+         & 4.4315695832930100_dp, 4.4307604536686203_dp, 4.4302304852314496_dp, 4.4299027248020799_dp, &
+         & 4.4297142965220804_dp, 4.4296159203904804_dp, 4.4295709716174798_dp, 4.4295541097961397_dp, &
+         & 4.4295495229733302_dp, 4.4295488459679504_dp, 4.4295487952994899_dp, 4.4295479055359301_dp, &
+         & 4.4295418772583597_dp, 4.4295197166943998_dp, 4.4294606449366700_dp, 4.4293313686999296_dp, &
+         & 4.4290837925373099_dp, 4.4286532658278901_dp, 4.4279574479001100_dp, 4.4268958630108797_dp, &
+         & 4.4253502030442498_dp, 4.4231854190345601_dp, 4.4202516222303103_dp, 4.4163867908075600_dp, &
+         & 4.4114202492650296_dp, 4.4051768542668697_dp, 4.3974817842162999_dp, 4.3881657919046102_dp, &
+         & 4.3770707427281303_dp, 4.3640552283973699_dp, 4.3490000213612596_dp, 4.3318131219156202_dp, &
+         & 4.3124341512470901_dp, 4.2908378615699396_dp, 4.2670365696576296_dp, 4.2410813712683701_dp, &
+         & 4.2130620581213600_dp, 4.1831057313586104_dp, 4.1513741797021604_dp, 4.1180601600777003_dp, &
+         & 4.0833827768920097_dp, 4.0475821981399500_dp, 4.0109139686876203_dp, 3.9736431823902101_dp, &
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+         & 0.0427662854491775_dp, 0.0414907386710031_dp, 0.0403365964635380_dp, 0.0392989036276479_dp, &
+         & 0.0383720641419369_dp, 0.0375499926767002_dp, 0.0368262445736303_dp, 0.0361941262519547_dp, &
+         & 0.0356467888352761_dp, 0.0351773082354416_dp, 0.0347787550224314_dp, 0.0344442572030914_dp, &
+         & 0.0341670585807350_dp, 0.0339405747303356_dp, 0.0337584478615582_dp, 0.0336146010183285_dp, &
+         & 0.0335032912452782_dp, 0.0334191606035876_dp, 0.0333572833025393_dp, 0.0333132067799671_dp, &
+         & 0.0332829843520699_dp, 0.0332631970785755_dp, 0.0332509627500048_dp, 0.0332439303739918_dp, &
+         & 0.0332402591729828_dp, 0.0332385818469607_dp, 0.0332379526363660_dp, 0.0332377814769913_dp, &
+         & 0.0332377562142661_dp, 0.0332377542262030_dp, 0.0332377180140710_dp, 0.0332374726722229_dp, &
+         & 0.0332365707794242_dp, 0.0332341667395859_dp, 0.0332289059389623_dp, 0.0332188323392533_dp, &
+         & 0.0332013188422167_dp, 0.0331730246632791_dp, 0.0331298838031007_dp, 0.0330671284213100_dp, &
+         & 0.0329793503882581_dp, 0.0328606034027388_dp, 0.0327045467147915_dp, 0.0325046296176925_dp, &
+         & 0.0322543134692914_dp, 0.0319473251499875_dp, 0.0315779327404915_dp, 0.0311412310831951_dp, &
+         & 0.0306334221344855_dp, 0.0300520730279530_dp, 0.0293963339495509_dp, 0.0286670986051085_dp, &
+         & 0.0278670924265736_dp, 0.0270008777100497_dp, 0.0260747703675897_dp, 0.0250966694410284_dp, &
+         & 0.0240758073200293_dp, 0.0230224349760366_dp, 0.0219474617233608_dp, 0.0208620724262421_dp, &
+         & 0.0197773462887980_dp, 0.0187039002866527_dp, 0.0176515771223986_dp, 0.0166291927784545_dp, &
+         & 0.0156443529482999_dp, 0.0147033415729645_dp, 0.0138110790740598_dp, 0.0129711432012680_dp, &
+         & 0.0121858420483623_dp, 0.0114563268695314_dp, 0.0107827317835465_dp, 0.0101643280747581_dp, &
+         & 0.0095996822853088_dp, 0.0090868093106504_dp, 0.0086233139492986_dp, 0.0082065165609446_dp, &
+         & 0.0078335604708961_dp, 0.0075015004129799_dp, 0.0072073725836894_dp, 0.0069482477929021_dp, &
+         & 0.0067212697784846_dp, 0.0065236810595621_dp, 0.0063528387951610_dp, 0.0062062230479754_dp, &
+         & 0.0060814396749471_dp, 0.0059762198140110_dp, 0.0058884176374416_dp, 0.0058160077157812_dp, &
+         & 0.0057570829956060_dp, 0.0057098540512257_dp, 0.0056726499339046_dp, 0.0056439206254115_dp, &
+         & 0.0056222408174058_dp, 0.0056063144996177_dp, 0.0055949796611792_dp, 0.0055872123026415_dp, &
+         & 0.0055821289282179_dp, 0.0055789867390157_dp, 0.0055771808723240_dp, 0.0055762382154150_dp, &
+         & 0.0055758075460961_dp, 0.0055756459933853_dp, 0.0055756020477151_dp, 0.0055755955614476_dp, &
+         & 0.0055755950464871_dp, 0.0055755856092112_dp, 0.0055755216705950_dp, 0.0055752866303305_dp, &
+         & 0.0055746601365687_dp, 0.0055732892595088_dp, 0.0055706645908806_dp, 0.0055661025380278_dp, &
+         & 0.0055587351339028_dp, 0.0055475087264902_dp, 0.0055311929013993_dp, 0.0055084008777868_dp, &
+         & 0.0054776223429176_dp, 0.0054372692043554_dp, 0.0053857340072820_dp, 0.0053214597866003_dp, &
+         & 0.0052430189413410_dp, 0.0051491974276701_dp, 0.0050390793131658_dp, 0.0049121257089215_dp, &
+         & 0.0047682415041628_dp, 0.0046078233618534_dp, 0.0044317832246499_dp, 0.0042415431624168_dp, &
+         & 0.0040389996715753_dp, 0.0038264582876746_dp, 0.0036065422591936_dp, 0.0033820816591899_dp, &
+         & 0.0031559912971506_dp, 0.0029311468400213_dp, 0.0027102685057265_dp, 0.0024958205800338_dp, &
+         & 0.0022899330193056_dp, 0.0020943488568346_dp, 0.0019103984092670_dp, 0.0017389987557408_dp, &
+         & 0.0015806749407012_dp, 0.0014355980231553_dp, 0.0013036345182193_dp, 0.0011844018817513_dp, &
+         & 0.0010773253131138_dp, 0.0009816920902992_dp, 0.0008967007115999_dp, 0.0008215031501120_dp, &
+         & 0.0007552394369750_dp, 0.0006970645273867_dp, 0.0006461679496166_dp, 0.0006017870921671_dp, &
+         & 0.0005632151651014_dp, 0.0005298049109417_dp, 0.0005009690806794_dp, 0.0004761785730150_dp, &
+         & 0.0004549589941973_dp, 0.0004368862544091_dp, 0.0004215816863677_dp, 0.0004087070580905_dp, &
+         & 0.0003979597556203_dp, 0.0003890683318346_dp, 0.0003817885521222_dp, 0.0003759000140260_dp, &
+         & 0.0003712033731098_dp, 0.0003675181687530_dp, 0.0003646812102573_dp, 0.0003625454548430_dp, &
+         & 0.0003609792849950_dp, 0.0003598660747954_dp, 0.0003591039240796_dp, 0.0003586054369418_dp, &
+         & 0.0003582974275247_dp, 0.0003581204513079_dp, 0.0003580280823670_dp, 0.0003579858847651_dp, &
+         & 0.0003579700560419_dp, 0.0003579657503447_dp, 0.0003579651148389_dp, 0.0003579650639214_dp, &
+         & 0.0003579641249996_dp, 0.0003579577637201_dp, 0.0003579343798279_dp, 0.0003578720533302_dp, &
+         & 0.0003577356857161_dp, 0.0003574746495101_dp, 0.0003570210934480_dp, 0.0003562890672235_dp, &
+         & 0.0003551746457120_dp, 0.0003535572402722_dp, 0.0003513022743213_dp, 0.0003482653624189_dp, &
+         & 0.0003442980564063_dp, 0.0003392551036985_dp, 0.0003330030019395_dp, 0.0003254294412898_dp, &
+         & 0.0003164530209023_dp, 0.0003060324416673_dp, 0.0002941742513141_dp, 0.0002809381901461_dp, &
+         & 0.0002664392886604_dp, 0.0002508461154047_dp, 0.0002343749525444_dp, 0.0002172801420404_dp, &
+         & 0.0001998413220416_dp, 0.0001823486700196_dp, 0.0001650875054011_dp, 0.0001483236406159_dp, &
+         & 1.3229072626863599e-04_dp, 1.1718058146570301e-04_dp, 1.0313720189536499e-04_dp, 9.0254807366463297e-05_dp, &
+         & 7.8579877408557804e-05_dp, 6.8116586806610298e-05_dp, 5.8834475586522203e-05_dp, 5.0676814888461797e-05_dp, &
+         & 4.3568240766234098e-05_dp, 3.7420890944161997e-05_dp, 3.2152974434040998e-05_dp, 2.7642432133489999e-05_dp, &
+         & 2.3788439879268701e-05_dp, 2.0518666632440800e-05_dp, 1.7747795522993201e-05_dp, 1.5384145214625301e-05_dp, &
+         & 1.3371304209641701e-05_dp, 1.1693138800339399e-05_dp, 1.0271396245542500e-05_dp, 9.0716808838209300e-06_dp, &
+         & 8.0724511715146701e-06_dp, 7.2488395979064501e-06_dp, 6.5634389780910902e-06_dp, 5.9904239044783497e-06_dp, &
+         & 5.5453711134134698e-06_dp, 5.1884093270615503e-06_dp, 4.8961872547437199e-06_dp, 4.6566647995405202e-06_dp, &
+         & 4.4606823514925500e-06_dp, 4.3013162311922298e-06_dp, 4.1731504438757796e-06_dp, 4.0716672238261304e-06_dp, &
+         & 3.9928407495892796e-06_dp, 3.9329401175791603e-06_dp, 3.8885002098254501e-06_dp, 3.8563837119198803e-06_dp, &
+         & 3.8338502985624203e-06_dp, 3.8185838260318397e-06_dp, 3.8086757907507301e-06_dp, 3.8025858888346399e-06_dp, &
+         & 3.7990982395541601e-06_dp, 3.7972813267117502e-06_dp, 3.7964520771538399e-06_dp, 3.7961411418763200e-06_dp, &
+         & 3.7960565766326201e-06_dp, 3.7960440923967600e-06_dp, 3.7960430869787800e-06_dp, 3.7960244334556099e-06_dp, &
+         & 3.7958980421137801e-06_dp, 3.7954334235479299e-06_dp, 3.7941949226905102e-06_dp, 3.7914845698594499e-06_dp, &
+         & 3.7862942132704798e-06_dp, 3.7772693932680602e-06_dp, 3.7626876121521499e-06_dp, 3.7404556945119802e-06_dp, &
+         & 3.7081345887202099e-06_dp, 3.6630071420518098e-06_dp, 3.6022163314441998e-06_dp, 3.5230350743376002e-06_dp, &
+         & 3.4235444772434701e-06_dp, 3.3055027017781000e-06_dp, 3.1763145376118001e-06_dp, 3.0318413131169602e-06_dp, &
+         & 2.8677105046170898e-06_dp, 2.6844988507690502e-06_dp, 2.4846105670661700e-06_dp, 2.2714635576903700e-06_dp, &
+         & 2.0777744662581199e-06_dp, 1.8927983660432799e-06_dp, 1.7027358687471399e-06_dp, 1.5115762046491501e-06_dp, &
+         & 1.3285093238835099e-06_dp, 1.1554776140343401e-06_dp, 9.8499721268297001e-07_dp, 8.1885947444959605e-07_dp, &
+         & 6.7858044694446604e-07_dp, 5.5986929758944402e-07_dp, 4.5510011936755698e-07_dp, 3.8775550592617899e-07_dp, &
+         &  3.3663459397814698e-07_dp, 2.8891977699174699e-07_dp, 2.4221454708594999e-07_dp, -1.7763568394002501e-15_dp, &
+         & -1.7763568394002501e-15_dp, -1.7763568394002501e-15_dp, -1.7763568394002501e-15_dp, -1.7763568394002501e-15_dp, &
+         & -1.7763568394002501e-15_dp, -1.7763568394002501e-15_dp, -1.7763568394002501e-15_dp, -1.7763568394002501e-15_dp, &
+         & -1.7763568394002501e-15_dp, -1.7763568394002501e-15_dp, -1.7763568394002501e-15_dp, -1.7763568394002501e-15_dp, &
+         & -1.7763568394002501e-15_dp, -1.7763568394002501e-15_dp, -1.7763568394002501e-15_dp, -1.7763568394002501e-15_dp, &
+         & -3.5527136788005001e-15_dp, -1.7763568394002501e-15_dp, -1.7763568394002501e-15_dp, -1.7763568394002501e-15_dp, &
+         & -1.7763568394002501e-15_dp, -1.7763568394002501e-15_dp, -3.5527136788005001e-15_dp, -1.7763568394002501e-15_dp, &
+         & -1.7763568394002501e-15_dp, -1.7763568394002501e-15_dp, -1.7763568394002501e-15_dp, -1.7763568394002501e-15_dp, &
+         & -1.7763568394002501e-15_dp, -3.5527136788005001e-15_dp, -1.7763568394002501e-15_dp, -1.7763568394002501e-15_dp, &
+         & -1.7763568394002501e-15_dp, -1.7763568394002501e-15_dp, -1.7763568394002501e-15_dp, -1.7763568394002501e-15_dp, &
+         & -1.7763568394002501e-15_dp &
+         &]
+      case (15)
+         out = [&
+         & 15.0000000000000000_dp, 14.9999999921008005_dp, 14.9999997478407003_dp, 14.9999980929401993_dp, &
+         & 14.9999920093141998_dp, 14.9999757923175991_dp, 14.9999403003805991_dp, 14.9998723235697007_dp, &
+         & 14.9997540940943992_dp, 14.9995629575587994_dp, 14.9992712189673991_dp, 14.9988461722939004_dp, &
+         & 14.9982503169633006_dp, 14.9974417590893001_dp, 14.9963747899036992_dp, 14.9950006287112991_dp, &
+         & 14.9932683130362996_dp, 14.9911257145445003_dp, 14.9885206559010999_dp, 14.9854021010403002_dp, &
+         & 14.9817213893749006_dp, 14.9774334832695999_dp, 14.9724981975855993_dp, 14.9668813802374991_dp, &
+         & 14.9605560134173992_dp, 14.9535032064082003_dp, 14.9457130526875996_dp, 14.9371853263341006_dp, &
+         & 14.9279299955964007_dp, 14.9179675349238003_dp, 14.9073290208035001_dp, 14.8960560014389003_dp, &
+         & 14.8842001355969007_dp, 14.8718226017819006_dp, 14.8589932851230007_dp, 14.8457897557851997_dp, &
+         & 14.8322960590892006_dp, 14.8186013435544002_dp, 14.8047983584778002_dp, 14.7909818571431995_dp, &
+         & 14.7772469450844000_dp, 14.7636874148358999_dp, 14.7503941091855992_dp, 14.7374533541016994_dp, &
+         & 14.7249455002830008_dp, 14.7129436088277004_dp, 14.7015123120041000_dp, 14.6907068747549996_dp, &
+         & 14.6805724766102994_dp, 14.6711437273440009_dp, 14.6624444232166997_dp, 14.6544875441757991_dp, &
+         & 14.6472754861287005_dp, 14.6408005164862001_dp, 14.6350454357325006_dp, 14.6299844229033003_dp, &
+         & 14.6255840386385003_dp, 14.6218043559973996_dp, 14.6186001865322996_dp, 14.6159223672801009_dp, &
+         & 14.6137190733752007_dp, 14.6119371209441002_dp, 14.6105232258103008_dp, 14.6094251853056996_dp, &
+         & 14.6085929531126997_dp, 14.6079795804777994_dp, 14.6075420012591000_dp, 14.6072416429912995_dp, &
+         & 14.6070448513254991_dp, 14.6069231207070001_dp, 14.6068531298162991_dp, 14.6068165859795993_dp, &
+         & 14.6067998882771999_dp, 14.6067936243081000_dp, 14.6067919203486998_dp, 14.6067916688476007_dp, &
+         & 14.6067916358559007_dp, 14.6067908671900994_dp, 14.6067856593585006_dp, 14.6067665147104009_dp, &
+         & 14.6067154812745006_dp, 14.6066037916213993_dp, 14.6063898763769995_dp, 14.6060178252855000_dp, &
+         & 14.6054163557201004_dp, 14.6044983337847007_dp, 14.6031608771072996_dp, 14.6012860516008001_dp, &
+         & 14.5987421574234002_dp, 14.5953855826732006_dp, 14.5910631875416001_dp, 14.5856151671962007_dp, &
+         & 14.5788783289078996_dp, 14.5706897080544007_dp, 14.5608904386158002_dp, 14.5493297864469007_dp, &
+         & 14.5358692476617009_dp, 14.5203866096059002_dp, 14.5027798679079005_dp, 14.4829708900593008_dp, &
+         & 14.4609087142730992_dp, 14.4365723727761992_dp, 14.4099731323035005_dp, 14.3811560525853004_dp, &
+         & 14.3502007771643001_dp, 14.3172214906344006_dp, 14.2823660023658991_dp, 14.2458139481512003_dp, &
+         & 14.2077741362550007_dp, 14.1684811006665008_dp, 14.1281909590785997_dp, 14.0871767033575992_dp, &
+         & 14.0457230735323009_dp, 14.0041211808181991_dp, 13.9626630500935995_dp, 13.9216362477394995_dp, &
+         & 13.8813187479546993_dp, 13.8419741713492002_dp, 13.8038475059976999_dp, 13.7671613954391994_dp, &
+         & 13.7321130524027009_dp, 13.6988718329549997_dp, 13.6675774844486995_dp, 13.6383390626884999_dp, &
+         & 13.6112344992668000_dp, 13.5863107887779009_dp, 13.5635847571171002_dp, 13.5430443656518005_dp, &
+         & 13.5246505010803997_dp, 13.5083391966714998_dp, 13.4940242268546005_dp, 13.4816000135027991_dp, &
+         & 13.4709447786030996_dp, 13.4619238743759002_dp, 13.4543932184918997_dp, 13.4482027591361994_dp, &
+         & 13.4431998926685008_dp, 13.4392327559486002_dp, 13.4361533164143996_dp, 13.4338201860738007_dp, &
+         & 13.4321010909134007_dp, 13.4308749349637004_dp, 13.4300334083203996_dp, 13.4294821006216996_dp, &
+         & 13.4291410954516994_dp, 13.4289450364115996_dp, 13.4288426715925002_dp, 13.4287958992723002_dp, &
+         & 13.4287783532001992_dp, 13.4287735802280999_dp, 13.4287728757467999_dp, 13.4287728135546001_dp, &
+         & 13.4287715949272002_dp, 13.4287633385416996_dp, 13.4287329871051000_dp, 13.4286520806256995_dp, &
+         & 13.4284750152587993_dp, 13.4281359004276002_dp, 13.4275461347383001_dp, 13.4265928034299993_dp, &
+         & 13.4251379797403008_dp, 13.4230189897964998_dp, 13.4200496755813994_dp, 13.4160226633270998_dp, &
+         & 13.4107126156040000_dp, 13.4038804147687003_dp, 13.3952781938998005_dp, 13.3846550996562996_dp, &
+         & 13.3717636406367006_dp, 13.3563664459807008_dp, 13.3382432334749002_dp, 13.3171977657829999_dp, &
+         & 13.2930645591647991_dp, 13.2657151027917006_dp, 13.2350633500353005_dp, 13.2010702572528000_dp, &
+         & 13.1637471715327994_dp, 13.1231579068142992_dp, 13.0794193969815993_dp, 13.0327008729846003_dp, &
+         & 12.9832215754555005_dp, 12.9312470803079993_dp, 12.8770843772965993_dp, 12.8210758953334008_dp, &
+         & 12.7635927090036994_dp, 12.7050271850976007_dp, 12.6457853348260993_dp, 12.5862791274941994_dp, &
+         & 12.5269189973757999_dp, 12.4681067412680004_dp, 12.4102289642569001_dp, 12.3536511900015000_dp, &
+         & 12.2987127130815992_dp, 12.2457222372585992_dp, 12.1949543162817005_dp, 12.1466465934040997_dp, &
+         & 12.1009978214522995_dp, 12.0581666359913005_dp, 12.0182710484680992_dp, 11.9813886228602993_dp, &
+         & 11.9475572971517998_dp, 11.9167768090060004_dp, 11.8890106826925006_dp, 11.8641887312644005_dp, &
+         & 11.8422100239894998_dp, 11.8229462640865997_dp, 11.8062455159893993_dp, 11.7919362148674001_dp, &
+         & 11.7798313842704001_dp, 11.7697329809530000_dp, 11.7614362796515000_dp, 11.7547342054142998_dp, &
+         & 11.7494215176125003_dp, 11.7452987485816003_dp, 11.7421758014952999_dp, 11.7398751169628000_dp, &
+         & 11.7382343262160997_dp, 11.7371083206418998_dp, 11.7363706826181993_dp, 11.7359144406834996_dp, &
+         & 11.7356521323528007_dp, 11.7355151795512995_dp, 11.7354526037229991_dp, 11.7354291292138004_dp, &
+         & 11.7354227435634009_dp, 11.7354218010543008_dp, 11.7354217254533992_dp, 11.7354203302332998_dp, &
+         & 11.7354108774073005_dp, 11.7353761277474007_dp, 11.7352834973639002_dp, 11.7350807752506991_dp, &
+         & 11.7346925274812008_dp, 11.7340173279569004_dp, 11.7329259363391003_dp, 11.7312605216133008_dp, &
+         & 11.7288350045655996_dp, 11.7254365641210008_dp, 11.7208283208150998_dp, 11.7147531755816008_dp, &
+         & 11.7069387437772008_dp, 11.6971032835586009_dp, 11.6849624755723998_dp, 11.6702368691863008_dp, &
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+         & 1.6464372603053301e-06_dp, 1.5592536026787200e-06_dp, 1.4639060346155500e-06_dp, 1.4084097337274700e-06_dp, &
+         & 1.3589881007192200e-06_dp, 1.2840823071513800e-06_dp, 1.1830265282952700e-06_dp, 1.1198497151809799e-06_dp, &
+         & 1.1249179259209501e-06_dp, 1.1215379593920701e-06_dp, 1.0915451209569899e-06_dp, 1.0284577491859201e-06_dp, &
+         & 9.8398588832537804e-07_dp, 9.8912616941504396e-07_dp, 9.9059616154306696e-07_dp, 1.0692544449852899e-06_dp, &
+         & 1.1210772576930601e-06_dp, 1.0961154526256699e-06_dp, 9.6813565875208994e-07_dp, 7.4091292212585803e-07_dp, &
+         & 6.6164570355908804e-07_dp, 6.2220082597264103e-07_dp, 5.5327843639929597e-07_dp, 4.4422867162552398e-07_dp, &
+         & 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, &
+         & 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, &
+         & 7.1054273576010003e-15_dp, 8.8817841970012507e-15_dp, 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, &
+         & 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, &
+         & 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, &
+         & 8.8817841970012507e-15_dp, 7.1054273576010003e-15_dp, 8.8817841970012507e-15_dp, 7.1054273576010003e-15_dp, &
+         & 5.3290705182007498e-15_dp, 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, &
+         & 8.8817841970012507e-15_dp, 5.3290705182007498e-15_dp, 7.1054273576010003e-15_dp, 5.3290705182007498e-15_dp, &
+         & 7.1054273576010003e-15_dp &
+         &]
+      case (16)
+         out = [&
+         & 16.0000000000000000_dp, 15.9999999913148994_dp, 15.9999997227538007_dp, 15.9999979032099997_dp, &
+         & 15.9999912143338001_dp, 15.9999733839333995_dp, 15.9999343609530005_dp, 15.9998596212025994_dp, &
+         & 15.9997296291377999_dp, 15.9995194763477997_dp, 15.9991987121359003_dp, 15.9987313758526000_dp, &
+         & 15.9980762346446994_dp, 15.9971872242202995_dp, 15.9960140843038001_dp, 15.9945031748484006_dp, &
+         & 15.9925984539733008_dp, 15.9902425941186994_dp, 15.9873782091900996_dp, 15.9839491625329995_dp, &
+         & 15.9799019234658992_dp, 15.9751869387906993_dp, 15.9697599851288992_dp, 15.9635834680534003_dp, &
+         & 15.9566276347292000_dp, 15.9488716680961993_dp, 15.9403046325024995_dp, 15.9309262431396004_dp, &
+         & 15.9207474346757003_dp, 15.9097907081856000_dp, 15.8980902398864998_dp, 15.8856917403340994_dp, &
+         & 15.8726520585999999_dp, 15.8590385324436003_dp, 15.8449280924667004_dp, 15.8304061354503993_dp, &
+         & 15.8155651892384999_dp, 15.8005033983087007_dp, 15.7853228652239999_dp, 15.7701278881595996_dp, &
+         & 15.7550231383831001_dp, 15.7401118237419997_dp, 15.7254938847736003_dp, 15.7112642690041007_dp, &
+         & 15.6975113264157997_dp, 15.6843153651145997_dp, 15.6717474011219000_dp, 15.6598681302131997_dp, &
+         & 15.6487271430862993_dp, 15.6383623981229007_dp, 15.6287999588536000_dp, 15.6200539961531994_dp, &
+         & 15.6121270483649006_dp, 15.6050105261241008_dp, 15.5986854427594004_dp, 15.5931233458756999_dp, &
+         & 15.5882874211804996_dp, 15.5841337358529994_dp, 15.5806125858573008_dp, 15.5776699096133004_dp, &
+         & 15.5752487294030999_dp, 15.5732905818410003_dp, 15.5717368996755994_dp, 15.5705303091078999_dp, &
+         & 15.5696158096668995_dp, 15.5689418074054000_dp, 15.5684609766849995_dp, 15.5681309309703000_dp, &
+         & 15.5679146887325004_dp, 15.5677809265897995_dp, 15.5677040180359008_dp, 15.5676638623433004_dp, &
+         & 15.5676455143057009_dp, 15.5676386312310999_dp, 15.5676367588592992_dp, 15.5676364825008005_dp, &
+         & 15.5676364462484003_dp, 15.5676356016107000_dp, 15.5676298790583001_dp, 15.5676088422326995_dp, &
+         & 15.5675527648766003_dp, 15.5674300363728992_dp, 15.5671949790501998_dp, 15.5667861574561996_dp, &
+         & 15.5661252455721009_dp, 15.5651165017962008_dp, 15.5636468839532007_dp, 15.5615868181560000_dp, &
+         & 15.5587916166437008_dp, 15.5551035213833000_dp, 15.5503543328161999_dp, 15.5443685671870000_dp, &
+         & 15.5369670717625006_dp, 15.5279710151271999_dp, 15.5172061596096000_dp, 15.5045073145294001_dp, &
+         & 15.4897228620370004_dp, 15.4727192415061001_dp, 15.4533852735428994_dp, 15.4316362008254000_dp, &
+         & 15.4074173206828000_dp, 15.3807070845573008_dp, 15.3515195435502996_dp, 15.3199060285871997_dp, &
+         & 15.2859559696066007_dp, 15.2497967813166007_dp, 15.2115927733776992_dp, 15.1715430792433992_dp, &
+         & 15.1298786382060992_dp, 15.0868583065022008_dp, 15.0427642122651992_dp, 14.9978965023375999_dp, &
+         & 14.9525676536631007_dp, 14.9070965363097994_dp, 14.8618024183945998_dp, 14.8169990957810995_dp, &
+         & 14.7729893129074004_dp, 14.7300596177240006_dp, 14.6884757660948999_dp, 14.6484787617397991_dp, &
+         & 14.6102815891704996_dp, 14.5740666708403008_dp, 14.5399840570366994_dp, 14.5081503383979005_dp, &
+         & 14.4786482563206995_dp, 14.4515269755190001_dp, 14.4268029749228006_dp, 14.4044615071963999_dp, &
+         & 14.3844585726406002_dp, 14.3667233494543005_dp, 14.3511610187825998_dp, 14.3376559193426996_dp, &
+         & 14.3260749626054000_dp, 14.3162712355760000_dp, 14.3080877144099006_dp, 14.3013610087726004_dp, &
+         & 14.2959250544409002_dp, 14.2916146706212004_dp, 14.2882688992794993_dp, 14.2857340468152998_dp, &
+         & 14.2838663539479995_dp, 14.2825342278432998_dp, 14.2816199812496993_dp, 14.2810210365251997_dp, &
+         & 14.2806505675353996_dp, 14.2804375689627001_dp, 14.2803263599600996_dp, 14.2802755466088005_dp, &
+         & 14.2802564845983007_dp, 14.2802512992534005_dp, 14.2802505339068002_dp, 14.2802504663412009_dp, &
+         & 14.2802491424275999_dp, 14.2802401727119008_dp, 14.2802071989960009_dp, 14.2801193024682007_dp, &
+         & 14.2799269394765993_dp, 14.2795585275774997_dp, 14.2789178131453003_dp, 14.2778821327176999_dp, &
+         & 14.2763016583501994_dp, 14.2739996926959005_dp, 14.2707740524065994_dp, 14.2663995488685007_dp, &
+         & 14.2606315434581994_dp, 14.2532105208030000_dp, 14.2438675885689001_dp, 14.2323307769510006_dp, &
+         & 14.2183319764387992_dp, 14.2016143199699005_dp, 14.1819397868703003_dp, 14.1590967827839993_dp, &
+         & 14.1329074340006997_dp, 14.1032343281127996_dp, 14.0699864375532009_dp, 14.0331239798059002_dp, &
+         & 13.9926619988370007_dp, 13.9486724966166005_dp, 13.9012850002931998_dp, 13.8506855170532006_dp, &
+         & 13.7971139009015005_dp, 13.7408597283235991_dp, 13.6822568471992998_dp, 13.6216768197344003_dp, &
+         & 13.5595215208821998_dp, 13.4962151757969000_dp, 13.4321961225690991_dp, 13.3679085713703998_dp, &
+         & 13.3037946016468993_dp, 13.2402865998294992_dp, 13.1778002962893002_dp, 13.1167285166556002_dp, &
+         & 13.0574357228358000_dp, 13.0002533854766007_dp, 12.9454762031861002_dp, 12.8933591644094996_dp, &
+         & 12.8441154344507993_dp, 12.7979150413521996_dp, 12.7548843287198999_dp, 12.7151061397813994_dp, &
+         & 12.6786206939574999_dp, 12.6454271142790997_dp, 12.6154855606132994_dp, 12.5887199196239994_dp, &
+         & 12.5650209975531997_dp, 12.5442501562621995_dp, 12.5262433265856998_dp, 12.5108153260906008_dp, &
+         & 12.4977644010707998_dp, 12.4868769054157003_dp, 12.4779320223672006_dp, 12.4707064297020001_dp, &
+         & 12.4649788051829002_dp, 12.4605340678574006_dp, 12.4571672525246004_dp, 12.4546869199065995_dp, &
+         & 12.4529180140240996_dp, 12.4517040910294003_dp, 12.4509088600942999_dp, 12.4504169963984008_dp, &
+         & 12.4501342081159994_dp, 12.4499865626507997_dp, 12.4499191011914991_dp, 12.4498937939029002_dp, &
+         & 12.4498869096911005_dp, 12.4498858935952992_dp, 12.4498858120918996_dp, 12.4498843079396000_dp, &
+         & 12.4498741170817997_dp, 12.4498366543346002_dp, 12.4497367918233000_dp, 12.4495182422081001_dp, &
+         & 12.4490996822379003_dp, 12.4483717675355994_dp, 12.4471951687885003_dp, 12.4453997356476993_dp, &
+         & 12.4427848675577000_dp, 12.4391211402219000_dp, 12.4341532022714993_dp, 12.4276039188573009_dp, &
+         & 12.4191796975892004_dp, 12.4085768881835996_dp, 12.3954891016513002_dp, 12.3796152497976006_dp, &
+         & 12.3606680637899995_dp, 12.3383828146382992_dp, 12.3125259319321998_dp, 12.2829032032698002_dp, &
+         & 12.2493672380890004_dp, 12.2118238976645994_dp, 12.1702374280240004_dp, 12.1246340829760992_dp, &
+         & 12.0751040872247000_dp, 12.0218018601732002_dp, 11.9649444942438006_dp, 11.9048085520013007_dp, &
+         & 11.8417253094781003_dp, 11.7760746255772997_dp, 11.7082776576865992_dp, 11.6387886716560001_dp, &
+         & 11.5680862111644007_dp, 11.4966638987179994_dp, 11.4250211393160992_dp, 11.3536539886993992_dp, &
+         & 11.2830464309052996_dp, 11.2136622841685991_dp, 11.1459379200547009_dp, 11.0802759391853005_dp, &
+         & 11.0170399004807003_dp, 10.9565501531359004_dp, 10.8990807757152002_dp, 10.8448575885790994_dp, &
+         & 10.7940571769832001_dp, 10.7468068436434994_dp, 10.7031854007448004_dp, 10.6632247104308000_dp, &
+         & 10.6269118871959005_dp, 10.5941920826239997_dp, 10.5649717802336003_dp, 10.5391225340397003_dp, &
+         & 10.5164850877310005_dp, 10.4968738116292002_dp, 10.4800813919090992_dp, 10.4658837013554997_dp, &
+         & 10.4540447739630995_dp, 10.4443217978509999_dp, 10.4364700333011999_dp, 10.4302475562913006_dp, &
+         & 10.4254197236992994_dp, 10.4217632553402009_dp, 10.4190698308815008_dp, 10.4171491069682993_dp, &
+         & 10.4158310717609002_dp, 10.4149676703883998_dp, 10.4144336550575005_dp, 10.4141266369158991_dp, &
+         & 10.4139663421931008_dp, 10.4138931013920004_dp, 10.4138656261064995_dp, 10.4138581521501994_dp, &
+         & 10.4138570490093993_dp, 10.4138569639245997_dp, 10.4138554360739999_dp, 10.4138450846580994_dp, &
+         & 10.4138070317049003_dp, 10.4137055960918996_dp, 10.4134836046494996_dp, 10.4130584564925002_dp, &
+         & 10.4123190952845004_dp, 10.4111240238958001_dp, 10.4093004725621991_dp, 10.4066448049392992_dp, &
+         & 10.4029242159910993_dp, 10.3978797410583006_dp, 10.3912305564668994_dp, 10.3826795087777999_dp, &
+         & 10.3719197628706006_dp, 10.3586424097813001_dp, 10.3425448256209993_dp, 10.3233395257274001_dp, &
+         & 10.3007632168151009_dp, 10.2745857180351994_dp, 10.2446184033224004_dp, 10.2107218156374007_dp, &
+         & 10.1728121213059008_dp, 10.1308661109208007_dp, 10.0849245117509003_dp, 10.0350934527576001_dp, &
+         & 9.9815440124147994_dp, 9.9245098747893703_dp, 9.8642832125755895_dp, 9.8012089984020694_dp, &
+         & 9.7356780101270903_dp, 9.6681188367711393_dp, 9.5989892074127603_dp, 9.5287669577740992_dp, &
+         & 9.4579409234909697_dp, 9.3870020121113296_dp, 9.3164346646188996_dp, 9.2467088771471495_dp, &
+         & 9.1782729176008093_dp, 9.1115468408829106_dp, 9.0469168794559103_dp, 8.9847307615332994_dp, &
+         & 8.9252939860310807_dp, 8.8688670609911302_dp, 8.8156636908359101_dp, 8.7658498784257208_dp, &
+         & 8.7195438915443493_dp, 8.6768170310031394_dp, 8.6376951294161994_dp, 8.6021607056741107_dp, &
+         & 8.5701556995138599_dp, 8.5415847122651201_dp, 8.5163186825923400_dp, 8.4941989286348392_dp, &
+         & 8.4750414893690103_dp, 8.4586416976092895_dp, 8.4447789145611800_dp, 8.4332213513861998_dp, &
+         & 8.4237308973626401_dp, 8.4160678677602405_dp, 8.4099955785295109_dp, 8.4052846504634502_dp, &
+         & 8.4017169437081307_dp, 8.3990890253073598_dp, 8.3972150785335895_dp, 8.3959291734076391_dp, &
+         & 8.3950868329899908_dp, 8.3945658492920892_dp, 8.3942663252146303_dp, 8.3941099436982398_dp, &
+         & 8.3940384910171701_dp, 8.3940116865405301_dp, 8.3940043950626801_dp, 8.3940033188554395_dp, &
+         & 8.3940032373682794_dp, 8.3940017938311904_dp, 8.3939920136521895_dp, 8.3939560606369596_dp, &
+         & 8.3938602227710000_dp, 8.3936504822835403_dp, 8.3932487977906192_dp, 8.3925502451630596_dp, &
+         & 8.3914211449229406_dp, 8.3896982822181094_dp, 8.3871893004954501_dp, 8.3836743214818696_dp, &
+         & 8.3789088115750996_dp, 8.3726276779960696_dp, 8.3645505371616498_dp, 8.3543880533184307_dp, &
+         & 8.3418491987922891_dp, 8.3266492402146195_dp, 8.3085182104007398_dp, 8.2872095863120396_dp, &
+         & 8.2625088631174499_dp, 8.2342416960780795_dp, 8.2022812786208892_dp, 8.1665546384808394_dp, &
+         & 8.1270475649281799_dp, 8.0838079282505308_dp, 8.0369472158363795_dp, 7.9866401841799801_dp, &
+         & 7.9331226086919902_dp, 7.8766871985080904_dp, 7.8176778263868396_dp, 7.7564822991562297_dp, &
+         & 7.6935239572223697_dp, 7.6292524382765796_dp, 7.5641339674165700_dp, 7.4986415416771299_dp, &
+         & 7.4332453613361800_dp, 7.3684038250203496_dp, 7.3045553540185297_dp, 7.2421112481865704_dp, &
+         & 7.1814497071253900_dp, 7.1229110818525099_dp, 7.0667943593391804_dp, 7.0133548292982404_dp, &
+         & 6.9628028422130699_dp, 6.9153035408872601_dp, 6.8709774343404897_dp, 6.8299016810347597_dp, &
+         & 6.7921119557325698_dp, 6.7576047879229399_dp, 6.7263402768482097_dp, 6.6982451061445802_dp, &
+         & 6.6732157978482904_dp, 6.6511221594406402_dp, 6.6318108876922901_dp, 6.6151092988296298_dp, &
+         & 6.6008291559588796_dp, 6.5887705621154700_dp, 6.5787258814490102_dp, 6.5704836428519702_dp, &
+         & 6.5638323709181403_dp, 6.5585642797051102_dp, 6.5544787566263896_dp, 6.5513855580934601_dp, &
+         & 6.5491076362823000_dp, 6.5474835183693401_dp, 6.5463691661918402_dp, 6.5456392555745504_dp, &
+         & 6.5451878301667996_dp, 6.5449283038152197_dp, 6.5447928072158996_dp, 6.5447308975966800_dp, &
+         & 6.5447076731443401_dp, 6.5447013555286100_dp, 6.5447004230617098_dp, 6.5447003530611196_dp, &
+         & 6.5446991209714698_dp, 6.5446907733833699_dp, 6.5446600867752300_dp, 6.5445782876117802_dp, &
+         & 6.5443992724844700_dp, 6.5440564384076403_dp, 6.5434602511663602_dp, 6.5424966650902103_dp, &
+         & 6.5410264907187097_dp, 6.5388857869855004_dp, 6.5358873310324199_dp, 6.5318231907950501_dp, &
+         & 6.5264683924730802_dp, 6.5195856367123000_dp, 6.5109309741954497_dp, 6.5002603045784797_dp, &
+         & 6.4873365144152597_dp, 6.4719370228652098_dp, 6.4538614622831396_dp, 6.4329391884107903_dp, &
+         & 6.4090362960206599_dp, 6.3820618142380798_dp, 6.3519727741009699_dp, 6.3187778803949302_dp, &
+         & 6.2825395796792796_dp, 6.2433743938073700_dp, 6.2014514781634302_dp, 6.1569894595563497_dp, &
+         & 6.1102517023828096_dp, 6.0615402351995300_dp, 6.0111886358702904_dp, 5.9595542163262403_dp, &
+         & 5.9070098645299502_dp, 5.8539358912190602_dp, 5.8007121951030003_dp, 5.7477110075542601_dp, &
+         & 5.6952904132981796_dp, 5.6437887746114397_dp, 5.5935201201176801_dp, 5.5447705011359103_dp, &
+         & 5.4977952725310004_dp, 5.4528172228918699_dp, 5.4100254604584803_dp, 5.3695749548631504_dp, &
+         & 5.3315866378305898_dp, 5.2961479755055700_dp, 5.2633139381577099_dp, 5.2331083071955300_dp, &
+         & 5.2055252728469101_dp, 5.1805312872954303_dp, 5.1580671468096604_dp, 5.1380502821985798_dp, &
+         & 5.1203772397899998_dp, 5.1049263352609104_dp, 5.0915604603541604_dp, 5.0801300181668099_dp, &
+         & 5.0704759567240600_dp, 5.0624328634524698_dp, 5.0558320755084196_dp, 5.0505047533402596_dp, &
+         & 5.0462848580663398_dp, 5.0430119679559100_dp, 5.0405338661996097_dp, 5.0387088318571198_dp, &
+         & 5.0374075688202904_dp, 5.0365147140678701_dp, 5.0359298763928502_dp, 5.0355681698562202_dp, &
+         & 5.0353602219022404_dp, 5.0352516535714402_dp, 5.0352020476312003_dp, 5.0351834387023997_dp, &
+         & 5.0351783766199203_dp, 5.0351776294670501_dp, 5.0351775735486104_dp, 5.0351765915927098_dp, &
+         & 5.0351699386967903_dp, 5.0351454819451398_dp, 5.0350802892052897_dp, 5.0349376163908897_dp, &
+         & 5.0346643805077704_dp, 5.0341892198362901_dp, 5.0334212306879502_dp, 5.0322494563140996_dp, &
+         & 5.0305431873437101_dp, 5.0281531140380800_dp, 5.0249133480884698_dp, 5.0206443052019099_dp, &
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+         & 0.1292575570842040_dp, 0.1264951670453500_dp, 0.1235962320502590_dp, 0.1205832683276000_dp, &
+         & 0.1174807962256690_dp, 0.1143146449186890_dp, 0.1111112399083610_dp, 0.1078969086794340_dp, &
+         & 0.1046972361346920_dp, 0.1015364956369070_dp, 0.0984371743307211_dp, 0.0954196036856327_dp, &
+         & 0.0925016986507501_dp, 0.0896988020867742_dp, 0.0870236256980128_dp, 0.0844862747646147_dp, &
+         & 0.0820943416092259_dp, 0.0798530518109661_dp, 0.0777654474982974_dp, 0.0758325933498600_dp, &
+         & 0.0740537929139506_dp, 0.0724268052226016_dp, 0.0709480541546270_dp, 0.0696128253863257_dp, &
+         & 0.0684154479228560_dp, 0.0673494590504955_dp, 0.0664077530461054_dp, 0.0655827151025115_dp, &
+         & 0.0648663426699478_dp, 0.0642503567881434_dp, 0.0637263060229110_dp, 0.0632856653716409_dp, &
+         & 0.0629199320164542_dp, 0.0626207191395416_dp, 0.0623798482324602_dp, 0.0621894394961391_dp, &
+         & 0.0620419991106491_dp, 0.0619305014246034_dp, 0.0618484635403505_dp, 0.0617900094084280_dp, &
+         & 0.0617499204328116_dp, 0.0617236697442305_dp, 0.0617074377160769_dp, 0.0616981069446201_dp, &
+         & 0.0616932357406466_dp, 0.0616910101157302_dp, 0.0616901752180556_dp, 0.0616899481066895_dp, &
+         & 0.0616899145855641_dp, 0.0616899119476031_dp, 0.0616898638977101_dp, 0.0616895383532263_dp, &
+         & 0.0616883416265193_dp, 0.0616851516635375_dp, 0.0616781708680740_dp, 0.0616648031910003_dp, &
+         & 0.0616415610107719_dp, 0.0616040070720612_dp, 0.0615467364147335_dp, 0.0614634027296361_dp, &
+         & 0.0613467928102516_dp, 0.0611889516135058_dp, 0.0609813587964894_dp, 0.0607151553952416_dp, &
+         & 0.0603814165612988_dp, 0.0599714630625048_dp, 0.0594772007818261_dp, 0.0588914740102062_dp, &
+         & 0.0582084153097888_dp, 0.0574237725538786_dp, 0.0565351928484308_dp, 0.0555424437459298_dp, &
+         & 0.0544475546619445_dp, 0.0532548656736740_dp, 0.0519709766557401_dp, 0.0506045965007136_dp, &
+         & 0.0491662993129260_dp, 0.0476682011983929_dp, 0.0461235768645221_dp, 0.0445464390838897_dp, &
+         & 0.0429511057835938_dp, 0.0413517789936737_dp, 0.0397621573135112_dp, 0.0381950993693678_dp, &
+         & 0.0366623505311203_dp, 0.0351743395698758_dp, 0.0337400465588402_dp, 0.0323669386167644_dp, &
+         & 0.0310609663910775_dp, 0.0298266116450527_dp, 0.0286669749710136_dp, 0.0275838923828964_dp, &
+         & 0.0265780701326079_dp, 0.0256492282868948_dp, 0.0247962451491066_dp, 0.0240172963166412_dp, &
+         & 0.0233099838830118_dp, 0.0226714529131584_dp, 0.0220984937548003_dp, 0.0215876299364464_dp, &
+         & 0.0211351923191518_dp, 0.0207373808229541_dp, 0.0203903154727971_dp, 0.0200900787392282_dp, &
+         & 0.0198327512150307_dp, 0.0196144425909868_dp, 0.0194313196888878_dp, 0.0192796329988560_dp, &
+         & 0.0191557427765137_dp, 0.0190561453136926_dp, 0.0189774995359127_dp, 0.0189166536328607_dp, &
+         & 0.0188706710252777_dp, 0.0188368546432827_dp, 0.0188127682619861_dp, 0.0187962535305051_dp, &
+         & 0.0187854413498165_dp, 0.0187787564024280_dp, 0.0187749138992483_dp, 0.0187729079628998_dp, &
+         & 0.0187719914789035_dp, 0.0187716476813762_dp, 0.0187715541607965_dp, 0.0187715403573812_dp, &
+         & 0.0187715392615004_dp, 0.0187715191780011_dp, 0.0187713831097298_dp, 0.0187708829143212_dp, &
+         & 0.0187695496227303_dp, 0.0187666319786608_dp, 0.0187610452300113_dp, 0.0187513326080833_dp, &
+         & 0.0187356418931035_dp, 0.0187117193995476_dp, 0.0186769235689646_dp, 0.0186282600656895_dp, &
+         & 0.0185624397603377_dp, 0.0184759601946798_dp, 0.0183652100097618_dp, 0.0182265943867588_dp, &
+         & 0.0180566778511153_dp, 0.0178523389404006_dp, 0.0176109294136459_dp, 0.0173304291123753_dp, &
+         & 0.0170095865254538_dp, 0.0166480348051774_dp, 0.0162463736227032_dp, 0.0158062089281454_dp, &
+         & 0.0153301453457182_dp, 0.0148217293725690_dp, 0.0142853453957006_dp, 0.0137260703343642_dp, &
+         & 0.0131494959984586_dp, 0.0125615306661917_dp, 0.0119681927080215_dp, 0.0113754092243319_dp, &
+         & 0.0107888316130449_dp, 0.0102136778282951_dp, 0.0096546080901767_dp, 0.0091156374283994_dp, &
+         & 0.0086000852694212_dp, 0.0081105597489035_dp, 0.0076489726494771_dp, 0.0072165796391506_dp, &
+         & 0.0068140396323724_dp, 0.0064414866774740_dp, 0.0060986080313956_dp, 0.0057847230905175_dp, &
+         & 0.0054988592884122_dp, 0.0052398224013839_dp, 0.0050062595671445_dp, 0.0047967138078722_dp, &
+         & 0.0046096693133215_dp, 0.0044435874144337_dp, 0.0042969339552617_dp, 0.0041681993438960_dp, &
+         & 0.0040559127336692_dp, 0.0039586516215042_dp, 0.0038750478875436_dp, 0.0038037911320785_dp, &
+         & 0.0037436301262428_dp, 0.0036933731935100_dp, 0.0036518882798884_dp, 0.0036181033161835_dp, &
+         & 0.0035910072564889_dp, 0.0035696519472559_dp, 0.0035531547810166_dp, 0.0035407019322165_dp, &
+         & 0.0035315518576660_dp, 0.0035250386652095_dp, 0.0035205749101852_dp, 0.0035176533718140_dp, &
+         & 0.0035158473932544_dp, 0.0035148094385029_dp, 0.0035142676206430_dp, 0.0035140200796970_dp, &
+         & 0.0035139272217961_dp, 0.0035139019625010_dp, 0.0035138982342939_dp, 0.0035138979355800_dp, &
+         & 0.0035138924270051_dp, 0.0035138551057692_dp, 0.0035137179116038_dp, 0.0035133522226722_dp, &
+         & 0.0035125520245831_dp, 0.0035110199448685_dp, 0.0035083568821310_dp, 0.0035040559832318_dp, &
+         & 0.0034975017392274_dp, 0.0034879749582775_dp, 0.0034746643024146_dp, 0.0034566849139264_dp, &
+         & 0.0034331043791571_dp, 0.0034029758680472_dp, 0.0033653777499829_dp, 0.0033194583491749_dp, &
+         & 0.0032644838168050_dp, 0.0031998864348459_dp, 0.0031253101082314_dp, 0.0030406494377893_dp, &
+         & 0.0029460786895861_dp, 0.0028420672916152_dp, 0.0027293792883452_dp, 0.0026090554953768_dp, &
+         & 0.0024823788036770_dp, 0.0023508248814199_dp, 0.0022160019964410_dp, 0.0020795845091897_dp, &
+         & 0.0019432447365624_dp, 0.0018085876389158_dp, 0.0016770924554308_dp, 0.0015500650139106_dp, &
+         & 0.0014286036162012_dp, 0.0013135798630515_dp, 0.0012056338188291_dp, 0.0011051813298284_dp, &
+         & 0.0010124308007633_dp, 0.0009274071549310_dp, 0.0008499809000977_dp, 0.0007798994900892_dp, &
+         & 0.0007168176913908_dp, 0.0006603246544401_dp, 0.0006099670295043_dp, 0.0005652686210809_dp, &
+         & 0.0005257475153115_dp, 0.0004909311115444_dp, 0.0004603684022211_dp, 0.0004336381394996_dp, &
+         & 0.0004103519381236_dp, 0.0003901530799055_dp, 0.0003727134811076_dp, 0.0003577311668117_dp, &
+         & 0.0003449290496107_dp, 0.0003340545383210_dp, 0.0003248791040686_dp, 0.0003171971096840_dp, &
+         & 0.0003108237049307_dp, 0.0003055921335502_dp, 0.0003013510603900_dp, 0.0002979624097872_dp, &
+         & 0.0002952999002463_dp, 0.0002932482036790_dp, 0.0002917025459119_dp, 0.0002905685664611_dp, &
+         & 0.0002897623002980_dp, 0.0002892101859473_dp, 0.0002888490283688_dp, 0.0002886258562302_dp, &
+         & 0.0002884976201667_dp, 0.0002884306884869_dp, 0.0002884001112164_dp, 0.0002883886413318_dp, &
+         & 0.0002883855213103_dp, 0.0002883850608075_dp, 0.0002883850235840_dp, 0.0002883843331158_dp, &
+         & 0.0002883796551121_dp, 0.0002883624587682_dp, 0.0002883166233687_dp, 0.0002882163326969_dp, &
+         & 0.0002880243368857_dp, 0.0002876906828870_dp, 0.0002871520243506_dp, 0.0002863316327062_dp, &
+         & 0.0002851402413704_dp, 0.0002834778608687_dp, 0.0002812366972673_dp, 0.0002783052775808_dp, &
+         & 0.0002745738125043_dp, 0.0002699406828910_dp, 0.0002643197053978_dp, 0.0002576475381240_dp, &
+         & 0.0002498903187860_dp, 0.0002410485378714_dp, 0.0002311593912232_dp, 0.0002202964844518_dp, &
+         & 0.0002085676178130_dp, 0.0001961119939402_dp, 0.0001830978181836_dp, 0.0001697195028356_dp, &
+         & 0.0001561916499977_dp, 0.0001427370401910_dp, 0.0001295690911807_dp, 0.0001168738844157_dp, &
+         & 1.0479912256400300e-04_dp, 9.3454118671232295e-05_dp, 8.2917109002878005e-05_dp, 7.3239953207959702e-05_dp, &
+         & 6.4442868772829302e-05_dp, 5.6504086591857599e-05_dp, 4.9361066301045800e-05_dp, 4.2935748242101099e-05_dp, &
+         & 3.7172814172592398e-05_dp, 3.2057838366128501e-05_dp, 2.7589116848858500e-05_dp, 2.3716269383910999e-05_dp, &
+         & 2.0298879091384900e-05_dp, 1.7129792345471601e-05_dp, 1.4022086448406400e-05_dp, 1.0924857150485000e-05_dp, &
+         & 7.9525500282784395e-06_dp, 5.2347800458818500e-06_dp, 2.9160592891486199e-06_dp, 1.0870014737207599e-06_dp, &
+         &  7.2433119591153204e-07_dp, 6.4296058965851401e-07_dp, -3.5527136788005001e-15_dp, 5.8323445983887702e-07_dp, &
+         & 7.0593649681427503e-07_dp, 6.7347798626826695e-07_dp, 5.7887348425822396e-07_dp, 4.8802607643949603e-07_dp, &
+         & 4.3084367717938200e-07_dp, 4.0441452497930202e-07_dp, 3.8951702130418700e-07_dp, 3.6892731536397600e-07_dp, &
+         &  3.3543369326594101e-07_dp, 2.9023686920481898e-07_dp, -3.5527136788005001e-15_dp, -3.5527136788005001e-15_dp, &
+         &  0.0000000000000000e+00_dp, -3.5527136788005001e-15_dp, -3.5527136788005001e-15_dp, -3.5527136788005001e-15_dp, &
+         & -3.5527136788005001e-15_dp, -3.5527136788005001e-15_dp, -3.5527136788005001e-15_dp, -3.5527136788005001e-15_dp, &
+         & -3.5527136788005001e-15_dp &
+         &]
+      case (17)
+         out = [&
+         & 17.0000000000000000_dp, 16.9999999904899006_dp, 16.9999996964176994_dp, 16.9999977040322996_dp, &
+         & 16.9999903797682990_dp, 16.9999708556265006_dp, 16.9999281257782009_dp, 16.9998462863336997_dp, &
+         & 16.9997039459682995_dp, 16.9994738300112012_dp, 16.9991225948276998_dp, 16.9986108630453003_dp, &
+         & 16.9978934836139004_dp, 16.9969200140484986_dp, 16.9956354157238003_dp, 16.9939809469653014_dp, &
+         & 16.9918952331186013_dp, 16.9893154879081010_dp, 16.9861788563504987_dp, 16.9824238463115016_dp, &
+         & 16.9779918135092984_dp, 16.9728284633415996_dp, 16.9668853322902997_dp, 16.9601212117614999_dp, &
+         & 16.9525034779804002_dp, 16.9440092929317991_dp, 16.9346266432997012_dp, 16.9243551869302991_dp, &
+         & 16.9132068795856014_dp, 16.9012063587303984_dp, 16.8883910658846013_dp, 16.8748110947113013_dp, &
+         & 16.8605287584820012_dp, 16.8456178777765011_dp, 16.8301627970472012_dp, 16.8142571467440014_dp, &
+         & 16.7980023757086983_dp, 16.7815060861254004_dp, 16.7648802100619996_dp, 16.7482390721837007_dp, &
+         & 16.7316973872679995_dp, 16.7153682434855995_dp, 16.6993611229305010_dp, 16.6837800095878990_dp, &
+         & 16.6687216319429012_dp, 16.6542738829325003_dp, 16.6405144542014014_dp, 16.6275097149192987_dp, &
+         & 16.6153138580540016_dp, 16.6039683292650011_dp, 16.5935015457415993_dp, 16.5839289045891007_dp, &
+         & 16.5752530729564000_dp, 16.5674645451521982_dp, 16.5605424456371999_dp, 16.5544555511174991_dp, &
+         & 16.5491635000723996_dp, 16.5446181540188988_dp, 16.5407650716935990_dp, 16.5375450551966985_dp, &
+         & 16.5348957260239011_dp, 16.5327530888540011_dp, 16.5310530419695993_dp, 16.5297327952567983_dp, &
+         & 16.5287321598208017_dp, 16.5279946772922983_dp, 16.5274685617941017_dp, 16.5271074331506007_dp, &
+         & 16.5268708261133987_dp, 16.5267244669583988_dp, 16.5266403156159996_dp, 16.5265963783154000_dp, &
+         & 16.5265763023795991_dp, 16.5265687711026992_dp, 16.5265667224032988_dp, 16.5265664200192006_dp, &
+         & 16.5265663803528007_dp, 16.5265654561727011_dp, 16.5265591947086001_dp, 16.5265361767772987_dp, &
+         & 16.5264748184497989_dp, 16.5263405323096002_dp, 16.5260833393520983_dp, 16.5256360193913991_dp, &
+         & 16.5249128723372003_dp, 16.5238091451134004_dp, 16.5222011598317984_dp, 16.5199471587250990_dp, &
+         & 16.5168888609162998_dp, 16.5128537060322991_dp, 16.5076577405907017_dp, 16.5011090855544005_dp, &
+         & 16.4930119078494002_dp, 16.4831708051849013_dp, 16.4713955021523013_dp, 16.4575057460802014_dp, &
+         & 16.4413362831169998_dp, 16.4227417881412983_dp, 16.4016016161953999_dp, 16.3778242383920016_dp, &
+         & 16.3513512223279989_dp, 16.3221606171245988_dp, 16.2902696078626015_dp, 16.2557363150625989_dp, &
+         & 16.2186606333989012_dp, 16.1791840307883987_dp, 16.1374882641184989_dp, 16.0937930097251005_dp, &
+         & 16.0483524526860002_dp, 16.0014509255505999_dp, 15.9533977303442995_dp, 15.9045213137731007_dp, &
+         & 15.8551629914311007_dp, 15.8056704305598004_dp, 15.7563911019723992_dp, 15.7076659009791992_dp, &
+         & 15.6598231165108004_dp, 15.6131728998838000_dp, 15.5680023528617006_dp, 15.5245713217771009_dp, &
+         & 15.4831089530204000_dp, 15.4438110369904997_dp, 15.4068381437447002_dp, 15.3723145344668009_dp, &
+         & 15.3403278183034004_dp, 15.3109293134839994_dp, 15.2841350641039000_dp, 15.2599274585789999_dp, &
+         & 15.2382573917164006_dp, 15.2190469088514000_dp, 15.2021922670510996_dp, 15.1875673446744006_dp, &
+         & 15.1750273265120992_dp, 15.1644125874262006_dp, 15.1555526931466993_dp, 15.1482704330790998_dp, &
+         & 15.1423857971219995_dp, 15.1377198071183994_dp, 15.1340981141682001_dp, 15.1313542760507005_dp, &
+         & 15.1293326347442001_dp, 15.1278907226427997_dp, 15.1269011375258007_dp, 15.1262528404013992_dp, &
+         & 15.1258518466165004_dp, 15.1256212985266991_dp, 15.1255009268649996_dp, 15.1254459269666999_dp, &
+         & 15.1254252944293999_dp, 15.1254196818624003_dp, 15.1254188534585996_dp, 15.1254187803262994_dp, &
+         & 15.1254173473350999_dp, 15.1254076386024003_dp, 15.1253719481799003_dp, 15.1252768098943999_dp, &
+         & 15.1250685984149005_dp, 15.1246698344656991_dp, 15.1239763366257005_dp, 15.1228553416592000_dp, &
+         & 15.1211446918236998_dp, 15.1186531611896005_dp, 15.1151619637454004_dp, 15.1104274539978007_dp, &
+         & 15.1041849960889998_dp, 15.0961539405200007_dp, 15.0860436090306997_dp, 15.0735601490160995_dp, &
+         & 15.0584140803503992_dp, 15.0403283212620007_dp, 15.0190464478479004_dp, 14.9943409160352008_dp, &
+         & 14.9660209575220993_dp, 14.9339398546936000_dp, 14.8980013057652005_dp, 14.8581646120992996_dp, &
+         & 14.8144484556412994_dp, 14.7669330855199998_dp, 14.7157607973772002_dp, 14.6611346636438995_dp, &
+         & 14.6033155528975005_dp, 14.5426175555644992_dp, 14.4794020050205994_dp, 14.4140703414468998_dp, &
+         & 14.3470561058702000_dp, 14.2788163710113007_dp, 14.2098229138119994_dp, 14.1405534141985996_dp, &
+         & 14.0714829300885995_dp, 14.0030758552977002_dp, 13.9357785203999995_dp, 13.8700125515651997_dp, &
+         & 13.8061690624506994_dp, 13.7446037213133003_dp, 13.6856327101091999_dp, 13.6295295738419995_dp, &
+         & 13.5765229454811003_dp, 13.5267951228423993_dp, 13.4804814674570999_dp, 13.4376705904592999_dp, &
+         & 13.3984052860856995_dp, 13.3626841689819003_dp, 13.3304639668501999_dp, 13.3016624149005995_dp, &
+         & 13.2761616929838002_dp, 13.2538123401383992_dp, 13.2344375745846001_dp, 13.2178379400156008_dp, &
+         & 13.2037961915807003_dp, 13.1920823275435009_dp, 13.1824586657329004_dp, 13.1746848581665006_dp, &
+         & 13.1685227333206996_dp, 13.1637408541427003_dp, 13.1601186817021993_dp, 13.1574502398855007_dp, &
+         & 13.1555471860653004_dp, 13.1542412062986003_dp, 13.1533856711071007_dp, 13.1528565087609000_dp, &
+         & 13.1525522764720009_dp, 13.1523934350167000_dp, 13.1523208579517004_dp, 13.1522936316123005_dp, &
+         & 13.1522862253710997_dp, 13.1522851322247991_dp, 13.1522850445409993_dp, 13.1522834263289994_dp, &
+         & 13.1522724626991998_dp, 13.1522321591563998_dp, 13.1521247240948007_dp, 13.1518896019747000_dp, &
+         & 13.1514393030475993_dp, 13.1506561920701994_dp, 13.1493903761999995_dp, 13.1474588066479008_dp, &
+         & 13.1446456795837001_dp, 13.1407041890137002_dp, 13.1353596476491994_dp, 13.1283139510815001_dp, &
+         & 13.1192513161338997_dp, 13.1078451768284996_dp, 13.0937660723770009_dp, 13.0766903130854004_dp, &
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+         & 3.0459083042444499e-06_dp, 2.9812136475015900e-06_dp, 2.9035318327430602e-06_dp, 2.8114736991824400e-06_dp, &
+         & 2.7034750615939599e-06_dp, 2.5789031354861402e-06_dp, 2.4401235130255802e-06_dp, 2.2937122601263101e-06_dp, &
+         & 2.1486304255802199e-06_dp, 2.0126439963519298e-06_dp, 1.8908626344682499e-06_dp, 1.7847900117828900e-06_dp, &
+         & 1.6869950627551599e-06_dp, 1.5795799441775701e-06_dp, 1.4489101438641700e-06_dp, 1.3045106825870800e-06_dp, &
+         & 1.1770290271329000e-06_dp, 1.0965646772831399e-06_dp, 1.0784460613422200e-06_dp, 1.1161949160509700e-06_dp, &
+         & 1.1521520484336600e-06_dp, 1.1057294315719399e-06_dp, 9.4072914436083000e-07_dp, 6.8367906891353403e-07_dp, &
+         & 5.5876791194009499e-07_dp, 5.9257752127450700e-07_dp, 5.6131375814061400e-07_dp, 4.4393630105332699e-07_dp, &
+         & -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, &
+         & 5.2018393859043499e-07_dp, 7.0612833980021595e-07_dp, 7.9847432132851303e-07_dp, 7.8798468194918304e-07_dp, &
+         &  6.9162930316224405e-07_dp, 5.4127619364407998e-07_dp, -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, &
+         & -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, &
+         & -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, &
+         & -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, &
+         & -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, &
+         & -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, &
+         & -1.0658141036401500e-14_dp &
+         &]
+      case (18)
+         out = [&
+         & 18.0000000000000000_dp, 17.9999999896303002_dp, 17.9999996689778001_dp, 17.9999974965069995_dp, &
+         & 17.9999895102256993_dp, 17.9999682213566992_dp, 17.9999216292830013_dp, 17.9998323925895996_dp, &
+         & 17.9996771863897003_dp, 17.9994262705697992_dp, 17.9990432872857014_dp, 17.9984852991916995_dp, &
+         & 17.9977030727275000_dp, 17.9966416035510015_dp, 17.9952408741463010_dp, 17.9934368269762999_dp, &
+         & 17.9911625305033986_dp, 17.9883495101236015_dp, 17.9849292116788000_dp, 17.9808345617813998_dp, &
+         & 17.9760015867177998_dp, 17.9703710501594003_dp, 17.9638900692172001_dp, 17.9565136684665987_dp, &
+         & 17.9482062323341012_dp, 17.9389428176578001_dp, 17.9287102902667002_dp, 17.9175082521263001_dp, &
+         & 17.9053497290250014_dp, 17.8922615930409989_dp, 17.8782846992075015_dp, 17.8634737219497985_dp, &
+         & 17.8478966839951987_dp, 17.8316341784317984_dp, 17.8147782932350012_dp, 17.7974312565495012_dp, &
+         & 17.7797038299448005_dp, 17.7617134852877996_dp, 17.7435824083581011_dp, 17.7254353784504985_dp, &
+         & 17.7073975776268000_dp, 17.6895923857603989_dp, 17.6721392179705994_dp, 17.6551514594694012_dp, &
+         & 17.6387345494040986_dp, 17.6229842601904991_dp, 17.6079852123989014_dp, 17.5938096578096008_dp, &
+         & 17.5805165551358016_dp, 17.5681509544333991_dp, 17.5567436976734008_dp, 17.5463114345775004_dp, &
+         & 17.5368569448183997_dp, 17.5283697502091016_dp, 17.5208269936895995_dp, 17.5141945558528995_dp, &
+         & 17.5084283745243994_dp, 17.5034759285947992_dp, 17.4992778439730010_dp, 17.4957695772284012_dp, &
+         & 17.4928831312945015_dp, 17.4905487575334995_dp, 17.4886965995404999_dp, 17.4872582362906002_dp, &
+         & 17.4861680855546986_dp, 17.4853646328790013_dp, 17.4847914567091998_dp, 17.4843980263326984_dp, &
+         & 17.4841402560296011_dp, 17.4839808059824016_dp, 17.4838891278987987_dp, 17.4838412607352005_dp, &
+         & 17.4838193891609990_dp, 17.4838111842698005_dp, 17.4838089523301008_dp, 17.4838086229001988_dp, &
+         & 17.4838085796858991_dp, 17.4838075728452012_dp, 17.4838007513419988_dp, 17.4837756746388990_dp, &
+         & 17.4837088283100996_dp, 17.4835625314516996_dp, 17.4832823351462991_dp, 17.4827950078347989_dp, &
+         & 17.4820071866286995_dp, 17.4808047545101992_dp, 17.4790529825780006_dp, 17.4765974546468001_dp, &
+         & 17.4732657692894016_dp, 17.4688699925429987_dp, 17.4632098136617984_dp, 17.4560763370926999_dp, &
+         & 17.4472564266893002_dp, 17.4365375032825014_dp, 17.4237126840389998_dp, 17.4085861412860012_dp, &
+         & 17.3909785492772997_dp, 17.3707324793319984_dp, 17.3477175967645998_dp, 17.3218355073164005_dp, &
+         & 17.2930240972439009_dp, 17.2612612112171995_dp, 17.2265675175707997_dp, 17.1890084231302005_dp, &
+         & 17.1486949214105984_dp, 17.1057832891830017_dp, 17.0604735868091986_dp, 17.0130069655035001_dp, &
+         & 16.9636618366279990_dp, 16.9127490101313001_dp, 16.8606059567556983_dp, 16.8075903874136010_dp, &
+         & 16.7540733698330015_dp, 16.7004322152787985_dp, 16.6470433665555007_dp, 16.5942755038709997_dp, &
+         & 16.5424830599829988_dp, 16.4920003036738017_dp, 16.4431361145216002_dp, 16.3961695354799986_dp, &
+         & 16.3513461556123012_dp, 16.3088753453528987_dp, 16.2689283418838997_dp, 16.2316371628505998_dp, &
+         & 16.1970943123097015_dp, 16.1653532326788003_dp, 16.1364294495263003_dp, 16.1103023512383992_dp, &
+         & 16.0869175419542998_dp, 16.0661897029064988_dp, 16.0480058938809016_dp, 16.0322292226389003_dp, &
+         & 16.0187028057479992_dp, 16.0072539395232987_dp, 15.9976983950120992_dp, 15.9898447466283997_dp, &
+         & 15.9834986407221997_dp, 15.9784669086213000_dp, 15.9745614290798006_dp, 15.9716026480676998_dp, &
+         & 15.9694226698038992_dp, 15.9678678420221996_dp, 15.9668007706574002_dp, 15.9661017141940995_dp, &
+         & 15.9656693254054005_dp, 15.9654207274897999_dp, 15.9652909319555008_dp, 15.9652316261579994_dp, &
+         & 15.9652093783205000_dp, 15.9652033263517001_dp, 15.9652024330932001_dp, 15.9652023542354993_dp, &
+         & 15.9652008090570003_dp, 15.9651903402389994_dp, 15.9651518556604994_dp, 15.9650492691649006_dp, &
+         & 15.9648247573781994_dp, 15.9643947760781995_dp, 15.9636469900243991_dp, 15.9624382482429006_dp, &
+         & 15.9605937116067000_dp, 15.9579072112396005_dp, 15.9541428847985998_dp, 15.9490381030589994_dp, &
+         & 15.9423076615930999_dp, 15.9336491720456994_dp, 15.9227495452699994_dp, 15.9092924154569992_dp, &
+         & 15.8929663118411000_dp, 15.8734733444560003_dp, 15.8505381349439993_dp, 15.8239166950507997_dp, &
+         & 15.7934049367519993_dp, 15.7588464915424993_dp, 15.7201395245733000_dp, 15.6772422538084992_dp, &
+         & 15.6301769259821999_dp, 15.5790320593384006_dp, 15.5239628356912007_dp, 15.4651896072163009_dp, &
+         & 15.4029945708195992_dp, 15.3377167480438992_dp, 15.2697454840372000_dp, 15.1995127386473996_dp, &
+         & 15.1274844815117007_dp, 15.0541515189073998_dp, 14.9800200738190998_dp, 14.9056024154410007_dp, &
+         & 14.8314077953868999_dp, 14.7579339012684994_dp, 14.6856589898915004_dp, 14.6150348168593993_dp, &
+         & 14.5464804400146992_dp, 14.4803769423001008_dp, 14.4170630952256005_dp, 14.3568319660989996_dp, &
+         & 14.2999284589736995_dp, 14.2465477692992994_dp, 14.1968347242440007_dp, 14.1508839736907994_dp, &
+         & 14.1087409904721994_dp, 14.0704038322485001_dp, 14.0358256114230002_dp, 14.0049176135155005_dp, &
+         & 13.9775529983675995_dp, 13.9535710122527004_dp, 13.9327816322954998_dp, 13.9149705575136000_dp, &
+         & 13.8999044533731997_dp, 13.8873363492850999_dp, 13.8770110814296004_dp, 13.8686706673229008_dp, &
+         & 13.8620594943817999_dp, 13.8569292031868994_dp, 13.8530431479344998_dp, 13.8501803222905995_dp, &
+         & 13.8481386488991003_dp, 13.8467375452508001_dp, 13.8458196972625007_dp, 13.8452519942271994_dp, &
+         & 13.8449256039396005_dp, 13.8447551937425004_dp, 13.8446773307622006_dp, 13.8446481214835000_dp, &
+         & 13.8446401758339004_dp, 13.8446390030720003_dp, 13.8446389090020006_dp, 13.8446371729330000_dp, &
+         & 13.8446254108045999_dp, 13.8445821718930002_dp, 13.8444669121880999_dp, 13.8442146658868008_dp, &
+         & 13.8437315715653995_dp, 13.8428914274368999_dp, 13.8415334263104004_dp, 13.8394611934741008_dp, &
+         & 13.8364432196120006_dp, 13.8322147457743991_dp, 13.8264811180952005_dp, 13.8189225863015999_dp, &
+         & 13.8092004723611996_dp, 13.7969645846691993_dp, 13.7818617005007997_dp, 13.7635448872746000_dp, &
+         & 13.7416833844701998_dp, 13.7159727263135007_dp, 13.6861447543391002_dp, 13.6519771521991995_dp, &
+         & 13.6133021354646999_dp, 13.5700139483147009_dp, 13.5220748569918996_dp, 13.4695193850572004_dp, &
+         & 13.4124566044831006_dp, 13.3510703749656994_dp, 13.2856175064463002_dp, 13.2164239018279996_dp, &
+         & 13.1438788141811003_dp, 13.0684274223883996_dp, 12.9905619892066007_dp, 12.9108119146138005_dp, &
+         & 12.8297330334708999_dp, 12.7478965277779004_dp, 12.6658778276049997_dp, 12.5842458588778996_dp, &
+         & 12.5035529598735007_dp, 12.4243257333935002_dp, 12.3470570330252993_dp, 12.2721992070948005_dp, &
+         & 12.2001586513446991_dp, 12.1312916587085002_dp, 12.0659015070575997_dp, 12.0042366954704995_dp, &
+         & 11.9464902252887004_dp, 11.8927998206316001_dp, 11.8432489897579991_dp, 11.7978688394070996_dp, &
+         & 11.7566405655230994_dp, 11.7194985532124996_dp, 11.6863340250598000_dp, 11.6569991795693007_dp, &
+         & 11.6313117605595995_dp, 11.6090599942205994_dp, 11.5900078238367996_dp, 11.5739003635749000_dp, &
+         & 11.5604694830427999_dp, 11.5494394244109007_dp, 11.5405323447306998_dp, 11.5334736686841008_dp, &
+         & 11.5279971323653996_dp, 11.5238493977618006_dp, 11.5207941211175005_dp, 11.5186153668612992_dp, &
+         & 11.5171202724283006_dp, 11.5161408879513001_dp, 11.5155351378638002_dp, 11.5151868780480999_dp, &
+         & 11.5150050510737003_dp, 11.5149219719220000_dp, 11.5148908059174993_dp, 11.5148823279946999_dp, &
+         & 11.5148810766705996_dp, 11.5148809801564003_dp, 11.5148792470718000_dp, 11.5148675051646006_dp, &
+         & 11.5148243406134991_dp, 11.5147092793212007_dp, 11.5144574682288994_dp, 11.5139752111698996_dp, &
+         & 11.5131365348921992_dp, 11.5117809380018006_dp, 11.5097124491526994_dp, 11.5067000905506003_dp, &
+         & 11.5024798082434003_dp, 11.4967578912646005_dp, 11.4892158571409997_dp, 11.4795167316861999_dp, &
+         & 11.4673125971133008_dp, 11.4522532258761007_dp, 11.4339955607703008_dp, 11.4122137480958994_dp, &
+         & 11.3866093842298994_dp, 11.3569216013389997_dp, 11.3229365996675995_dp, 11.2844962356594003_dp, &
+         & 11.2415052995799005_dp, 11.1939371637978002_dp, 11.1418375515559003_dp, 11.0853262615015993_dp, &
+         & 11.0245967788572994_dp, 10.9599138018758993_dp, 10.8916088039465997_dp, 10.8200738302902000_dp, &
+         & 10.7457537888064998_dp, 10.6691375353764002_dp, 10.5907480756554992_dp, 10.5111322109518994_dp, &
+         & 10.4308499487937993_dp, 10.3504639825226992_dp, 10.2705295209026009_dp, 10.1915847193518996_dp, &
+         & 10.1141419293414998_dp, 10.0386799420813997_dp, 9.9656373577881308_dp, 9.8954071644231298_dp, &
+         & 9.8283325624500097_dp, 9.7647040278922805_dp, 9.7047575676370492_dp, 9.6486740906894397_dp, &
+         & 9.5965797981068608_dp, 9.5485474826773000_dp, 9.5045986260854605_dp, 9.4647061846093692_dp, &
+         & 9.4287979621435003_dp, 9.3967604792800206_dp, 9.3684432571918599_dp, 9.3436634434236403_dp, &
+         & 9.3222107121848197_dp, 9.3038523736920808_dp, 9.2883386254230000_dp, 9.2754078732284295_dp, &
+         & 9.2647920429500505_dp, 9.2562217946678196_dp, 9.2494315433336993_dp, 9.2441641827703496_dp, &
+         & 9.2401754062002208_dp, 9.2372375167862195_dp, 9.2351426269592203_dp, 9.2337051560171499_dp, &
+         & 9.2327635515845401_dp, 9.2321811815318604_dp, 9.2318463679593403_dp, 9.2316715625998391_dp, &
+         & 9.2315916920162806_dp, 9.2315617297105703_dp, 9.2315535792282208_dp, 9.2315523762337808_dp, &
+         & 9.2315522851466696_dp, 9.2315506715475504_dp, 9.2315397391741598_dp, 9.2314995505839601_dp, &
+         & 9.2313924223336894_dp, 9.2311579736413698_dp, 9.2307089719926498_dp, 9.2299281407334597_dp, &
+         & 9.2286660732724108_dp, 9.2267403748904293_dp, 9.2239361259055208_dp, 9.2200077284600699_dp, &
+         & 9.2146821628671507_dp, 9.2076636378471495_dp, 9.1986395721087195_dp, 9.1872877932118797_dp, &
+         & 9.1732847849180494_dp, 9.1563147585704900_dp, 9.1360792705745002_dp, 9.1123070605493908_dp, &
+         & 9.0847637473754705_dp, 9.0532609973287901_dp, 9.0176647734866098_dp, 8.9779022913620992_dp, &
+         & 8.9339673436862608_dp, 8.8859237171068006_dp, 8.8339065031641102_dp, 8.7781212012228806_dp, &
+         & 8.7188406164024705_dp, 8.6563996639824605_dp, 8.5911882955199204_dp, 8.5236428531759998_dp, &
+         & 8.4542362303748106_dp, 8.3834672632598597_dp, 8.3118497950358599_dp, 8.2399018434721700_dp, &
+         & 8.1681352627932409_dp, 8.0970462297709993_dp, 8.0271068070068008_dp, 7.9587577522102997_dp, &
+         & 7.8924026588506999_dp, 7.8284034379818896_dp, 7.7670770886501099_dp, 7.7086936581832299_dp, &
+         & 7.6534752646700399_dp, 7.6015960409285102_dp, 7.5531828596470101_dp, 7.5083167097426600_dp, &
+         & 7.4670346106594403_dp, 7.4293319709011199_dp, 7.3951653166901599_dp, 7.3644553340970900_dp, &
+         & 7.3370901818573504_dp, 7.3129290416028203_dp, 7.2918058771443297_dp, 7.2735333749281201_dp, &
+         & 7.2579070343394703_dp, 7.2447093698499998_dp, 7.2337141779744298_dp, 7.2246908116107003_dp, &
+         & 7.2174083936642797_dp, 7.2116398920244196_dp, 7.2071659700839197_dp, 7.2037785221132999_dp, &
+         & 7.2012838018025800_dp, 7.1995050558185598_dp, 7.1982845826309800_dp, 7.1974851501102997_dp, &
+         & 7.1969907230766799_dp, 7.1967064733017097_dp, 7.1965580683367500_dp, 7.1964902606620296_dp, &
+         & 7.1964648236265800_dp, 7.1964579041328101_dp, 7.1964568828299003_dp, 7.1964568061603700_dp, &
+         & 7.1964554566896703_dp, 7.1964463138270602_dp, 7.1964127036960797_dp, 7.1963231114201003_dp, &
+         & 7.1961270408810796_dp, 7.1957515422104397_dp, 7.1950985464551200_dp, 7.1940431305816102_dp, &
+         & 7.1924328170407303_dp, 7.1900879899674202_dp, 7.1868034839685002_dp, 7.1823513705505500_dp, &
+         & 7.1764849309366401_dp, 7.1689437621217502_dp, 7.1594599160119197_dp, 7.1477649207587000_dp, &
+         & 7.1335974813236200_dp, 7.1167116062756000_dp, 7.0968848640579303_dp, 7.0739264391666197_dp, &
+         & 7.0476846415325998_dp, 7.0180535249034000_dp, 6.9849782948347903_dp, 6.9484592347172196_dp, &
+         & 6.9085539473655100_dp, 6.8653777958337896_dp, 6.8191025237140597_dp, 6.7699531339891701_dp, &
+         & 6.7182031975902996_dp, 6.6641688396945904_dp, 6.6082017067271597_dp, 6.5506812459341504_dp, &
+         & 6.4920066314811402_dp, 6.4325886488264103_dp, 6.3728418079163900_dp, 6.3131769026157603_dp, &
+         & 6.2539941762917604_dp, 6.1956771984631001_dp, 6.1385875100281497_dp, 6.0830600576918101_dp, &
+         & 6.0293994124303696_dp, 5.9778767509243202_dp, 5.9287275704465499_dp, 5.8821501039325002_dp, &
+         & 5.8383044003846498_dp, 5.7973120346080096_dp, 5.7592564086377402_dp, 5.7241836049692498_dp, &
+         & 5.6921037491908502_dp, 5.6629928373667200_dp, 5.6367949819258696_dp, 5.6134250289978302_dp, &
+         & 5.5927714998926001_dp, 5.5746998092924898_dp, 5.5590557121413502_dp, 5.5456689296641999_dp, &
+         & 5.5343569021021501_dp, 5.5249286115581100_dp, 5.5171884130871502_dp, 5.5109398063938997_dp, &
+         & 5.5059890750015299_dp, 5.5021487154411899_dp, 5.4992405767963204_dp, 5.4970986316374502_dp, &
+         & 5.4955713036096698_dp, 5.4945232850156502_dp, 5.4938367896714499_dp, 5.4934122017647304_dp, &
+         & 5.4931680997677903_dp, 5.4930406547535302_dp, 5.4929824236690301_dp, 5.4929605791133698_dp, &
+         & 5.4929546368583999_dp, 5.4929537597937896_dp, 5.4929536941524901_dp, 5.4929525414582399_dp, &
+         & 5.4929447317836200_dp, 5.4929160225710998_dp, 5.4928394941784102_dp, 5.4926720127865201_dp, &
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+         & 0.0516809102350884_dp, 0.0508869497561619_dp, 0.0499772694205554_dp, 0.0489502104956188_dp, &
+         & 0.0478067829848321_dp, 0.0465508118649645_dp, 0.0451889588706393_dp, 0.0437306113078222_dp, &
+         & 0.0421876388958786_dp, 0.0405740296720261_dp, 0.0389054254511798_dp, 0.0371985851364975_dp, &
+         & 0.0354708094140896_dp, 0.0337393624521134_dp, 0.0320209249845753_dp, 0.0303311088516800_dp, &
+         & 0.0286840563322741_dp, 0.0270921393457364_dp, 0.0255657648405538_dp, 0.0241132843988865_dp, &
+         & 0.0227409990656149_dp, 0.0214532451858211_dp, 0.0202525438384598_dp, 0.0191397952424168_dp, &
+         & 0.0181145000212268_dp, 0.0171749910432837_dp, 0.0163186622471372_dp, 0.0155421839755689_dp, &
+         & 0.0148416975029200_dp, 0.0142129843696459_dp, 0.0136516086568719_dp, 0.0131530323532800_dp, &
+         & 0.0127127054705518_dp, 0.0123261335853009_dp, 0.0119889260906483_dp, 0.0116968287064623_dp, &
+         & 0.0114457438020388_dp, 0.0112317418958590_dp, 0.0110510673700084_dp, 0.0109001410136642_dp, &
+         & 0.0107755615223191_dp, 0.0106741075528944_dp, 0.0105927413895053_dp, 0.0105286147332997_dp, &
+         & 0.0104790766135139_dp, 0.0104416829514840_dp, 0.0104142069194992_dp, 0.0103946489468001_dp, &
+         & 0.0103812450547380_dp, 0.0103724721637768_dp, 0.0103670491070460_dp, 0.0103639322975582_dp, &
+         & 0.0103623053059572_dp, 0.0103615619802966_dp, 0.0103612831429238_dp, 0.0103612072933146_dp, &
+         & 0.0103611960981098_dp, 0.0103611952170937_dp, 0.0103611791696494_dp, 0.0103610704463293_dp, &
+         & 0.0103606707753059_dp, 0.0103596054559425_dp, 0.0103572743190519_dp, 0.0103528110182793_dp, &
+         & 0.0103450527585771_dp, 0.0103325226282607_dp, 0.0103134267428615_dp, 0.0102856683696366_dp, &
+         & 0.0102468809999152_dp, 0.0101944818878756_dp, 0.0101257468002167_dp, 0.0100379055720410_dp, &
+         & 0.0099282565371510_dp, 0.0097942960591624_dp, 0.0096338573745918_dp, 0.0094452509909395_dp, &
+         & 0.0092273972448638_dp, 0.0089799406305389_dp, 0.0087033354477768_dp, 0.0083988934012140_dp, &
+         & 0.0080687860738635_dp, 0.0077159985827251_dp, 0.0073442348889365_dp, 0.0069577796995119_dp, &
+         & 0.0065613260828847_dp, 0.0061597812436887_dp, 0.0057580648877860_dp, 0.0053609149754088_dp, &
+         & 0.0049727143824079_dp, 0.0045973492955724_dp, 0.0042381064957979_dp, 0.0038976125867904_dp, &
+         & 0.0035778142718357_dp, 0.0032799954400069_dp, 0.0030048244117538_dp, 0.0027524233453100_dp, &
+         & 0.0025224514839977_dp, 0.0023141944674201_dp, 0.0021266530928941_dp, 0.0019586264277542_dp, &
+         & 0.0018087857830231_dp, 0.0016757375623016_dp, 0.0015580742662031_dp, 0.0014544139045185_dp, &
+         & 0.0013634287436162_dp, 0.0012838647283111_dp, 0.0012145531124190_dp, 0.0011544158608849_dp, &
+         & 0.0011024662981889_dp, 0.0010578063182045_dp, 0.0010196212778162_dp, 0.0009871734993538_dp, &
+         & 0.0009597951220996_dp, 0.0009368808789070_dp, 0.0009178812310786_dp, 0.0009022961713150_dp, &
+         & 0.0008896698973757_dp, 0.0008795864645315_dp, 0.0008716664412063_dp, 0.0008655645176212_dp, &
+         & 0.0008609679524341_dp, 0.0008575956883732_dp, 0.0008551979274394_dp, 0.0008535559315455_dp, &
+         & 0.0008524818080389_dp, 0.0008518180519808_dp, 0.0008514366472738_dp, 0.0008512375744942_dp, &
+         & 0.0008511466290138_dp, 0.0008511125142476_dp, 0.0008511032343961_dp, 0.0008511018647148_dp, &
+         & 0.0008511017559769_dp, 0.0008510997631461_dp, 0.0008510862615196_dp, 0.0008510366296690_dp, &
+         & 0.0008509043412772_dp, 0.0008506148917355_dp, 0.0008500607924766_dp, 0.0008490979324911_dp, &
+         & 0.0008475436350395_dp, 0.0008451767642654_dp, 0.0008417402475729_dp, 0.0008369463578575_dp, &
+         & 0.0008304850263947_dp, 0.0008220353153057_dp, 0.0008112799571975_dp, 0.0007979225693688_dp, &
+         & 0.0007817067888034_dp, 0.0007624361866156_dp, 0.0007399934640411_dp, 0.0007143571740045_dp, &
+         & 0.0006856141251461_dp, 0.0006539657674409_dp, 0.0006197272585879_dp, 0.0005833185524793_dp, &
+         & 0.0005452476695886_dp, 0.0005060871964666_dp, 0.0004664458815711_dp, 0.0004269378130459_dp, &
+         & 0.0003881519656055_dp, 0.0003506248232412_dp, 0.0003148183226074_dp, 0.0002811046006101_dp, &
+         & 0.0002497581254914_dp, 0.0002209549343455_dp, 0.0001947780470850_dp, 0.0001712277273036_dp, &
+         & 0.0001502350615219_dp, 0.0001316772519644_dp, 0.0001153930556086_dp, 0.0001011970130946_dp, &
+         & 8.8891547694203195e-05_dp, 7.8276604938309902e-05_dp, 6.9157010724296697e-05_dp, 6.1347929555921596e-05_dp, &
+         & 5.4678712711364603e-05_dp, 4.8995234617876797e-05_dp, 4.4160740340970499e-05_dp, 4.0055382633852298e-05_dp, &
+         & 3.6574893872654002e-05_dp, 3.3628951502606703e-05_dp, 3.1139644843136700e-05_dp, 2.9040155649084899e-05_dp, &
+         & 2.7273531131299899e-05_dp, 2.5791414454800999e-05_dp, 2.4552753007611700e-05_dp, 2.3522600745451400e-05_dp, &
+         & 2.2671078795610800e-05_dp, 2.1972486987209499e-05_dp, 2.1404557166704301e-05_dp, 2.0947854842745501e-05_dp, &
+         & 2.0585320548605099e-05_dp, 2.0301920219623101e-05_dp, 2.0084373659301501e-05_dp, 1.9920944478002401e-05_dp, &
+         & 1.9801284242504400e-05_dp, 1.9716323674146000e-05_dp, 1.9658199274630299e-05_dp, 1.9620201516801200e-05_dp, &
+         & 1.9596730439275200e-05_dp, 1.9583246917420601e-05_dp, 1.9576210210203699e-05_dp, 1.9572995739736099e-05_dp, &
+         & 1.9571789987793399e-05_dp, 1.9571462004819299e-05_dp, 1.9571413595542701e-05_dp, 1.9571409719532102e-05_dp, &
+         & 1.9571338192747600e-05_dp, 1.9570853638128900e-05_dp, 1.9569072449598900e-05_dp, 1.9564325146603799e-05_dp, &
+         & 1.9553939349492600e-05_dp, 1.9534062882797801e-05_dp, 1.9499539956058199e-05_dp, 1.9443855190814899e-05_dp, &
+         & 1.9359162223509002e-05_dp, 1.9236414246393000e-05_dp, 1.9065612065105601e-05_dp, 1.8836181336467900e-05_dp, &
+         & 1.8537483441605201e-05_dp, 1.8159454455712899e-05_dp, 1.7693351292535901e-05_dp, 1.7132560820698500e-05_dp, &
+         & 1.6473399728766901e-05_dp, 1.5715817777817199e-05_dp, 1.4863932229047800e-05_dp, 1.3926336976055600e-05_dp, &
+         & 1.2916073931279501e-05_dp, 1.1850049499884099e-05_dp, 1.0747775128550100e-05_dp, 9.6297251701571406e-06_dp, &
+         & 8.5157918832123903e-06_dp, 7.4238575820118100e-06_dp, 6.3686553026798299e-06_dp, 5.3623845595041101e-06_dp, &
+         & 4.4168092969698600e-06_dp, 3.5413987369281598e-06_dp, 2.7369918171871198e-06_dp, 1.9978139746967801e-06_dp, &
+         & 1.3157318079493101e-06_dp, 6.5191391485086601e-07_dp, 6.5815489236342696e-07_dp, 1.1720697337125300e-06_dp, &
+         & 1.4974247974919300e-06_dp, 1.6718524911141201e-06_dp, 1.7925426796239199e-06_dp, 1.9178400343378101e-06_dp, &
+         & 2.0191002754188499e-06_dp, 2.0883905058610699e-06_dp, 2.1589456977722000e-06_dp, 2.2273125921401498e-06_dp, &
+         & 2.2652010329693401e-06_dp, 2.2805718806751000e-06_dp, 2.3011024339325601e-06_dp, 2.3294870210577301e-06_dp, &
+         & 2.3525195018692098e-06_dp, 2.3676147407059000e-06_dp, 2.3800045205746301e-06_dp, 2.3922296250589200e-06_dp, &
+         & 2.4053037250837402e-06_dp, 2.4213423550634199e-06_dp, 2.4409520555934701e-06_dp, 2.4614963649582899e-06_dp, &
+         & 2.4793070423356801e-06_dp, 2.4923146213495801e-06_dp, 2.5005195638527800e-06_dp, 2.5050403742454802e-06_dp, &
+         & 2.5071609428550801e-06_dp, 2.5078934342559499e-06_dp, 2.5079136385386400e-06_dp, 2.5076313754368601e-06_dp, &
+         & 2.5072742815268599e-06_dp, 2.5069532405552802e-06_dp, 2.5067090412278499e-06_dp, 2.5065444617666799e-06_dp, &
+         & 2.5064451349976501e-06_dp, 2.5063919046886002e-06_dp, 2.5063672666192398e-06_dp, 2.5063579762729702e-06_dp, &
+         & 2.5063554431881100e-06_dp, 2.5063550701531801e-06_dp, 2.5063550346260399e-06_dp, 2.5063543453995900e-06_dp, &
+         & 2.5063496842392401e-06_dp, 2.5063325672647398e-06_dp, 2.5062870818715102e-06_dp, 2.5061882773513802e-06_dp, &
+         & 2.5060016426437002e-06_dp, 2.5056841259640801e-06_dp, 2.5051855487845400e-06_dp, 2.5044470497448401e-06_dp, &
+         & 2.5033941071228600e-06_dp, 2.5019406528770101e-06_dp, 2.5000709449329899e-06_dp, 2.4981092785481000e-06_dp, &
+         & 2.4971591479072698e-06_dp, 2.4992039762139501e-06_dp, 2.5058712509462600e-06_dp, 2.5158216878651299e-06_dp, &
+         & 2.5238333911659100e-06_dp, 2.5257244651300000e-06_dp, 2.5261147733601800e-06_dp, 2.5358802524522200e-06_dp, &
+         & 2.5553845155457098e-06_dp, 2.5719493379483500e-06_dp, 2.5893286483835701e-06_dp, 2.6347275472460301e-06_dp, &
+         & 2.6998912936448998e-06_dp, 2.7249921288330400e-06_dp, 2.6953864669110300e-06_dp, 2.6833684465543700e-06_dp, &
+         & 2.7135928526433902e-06_dp, 2.7172971037714399e-06_dp, 2.7098384016710501e-06_dp, 2.7412527394687901e-06_dp, &
+         & 2.6958284031763898e-06_dp, 2.6457651038924702e-06_dp, 3.1839216276807700e-06_dp, 4.1482572328277498e-06_dp, &
+         & 4.8991753516247602e-06_dp, 5.1589811924657203e-06_dp, 4.9124961201130199e-06_dp, 4.2989490012246304e-06_dp, &
+         & 3.5254673242946002e-06_dp, 2.7759627521106701e-06_dp, 2.1334538722328502e-06_dp, 1.6111667058282800e-06_dp, &
+         & 1.3582545186352501e-06_dp, 1.4757981467994301e-06_dp, 1.6207636868159600e-06_dp, 1.5956679249029500e-06_dp, &
+         & 1.3924717627844500e-06_dp, 1.0700961290410800e-06_dp, 7.0927196205161604e-07_dp, 4.2304430536432799e-07_dp, &
+         & 3.5527136788005001e-15_dp, 4.2208207062799401e-07_dp, 4.0810549251091299e-07_dp, 3.5527136788005001e-15_dp, &
+         & 3.5527136788005001e-15_dp, 3.5527136788005001e-15_dp, 3.5527136788005001e-15_dp, 3.5527136788005001e-15_dp, &
+         & 3.5527136788005001e-15_dp, 3.5527136788005001e-15_dp, 3.5527136788005001e-15_dp, 3.5527136788005001e-15_dp, &
+         & 3.5527136788005001e-15_dp, 3.5527136788005001e-15_dp, 3.5527136788005001e-15_dp, 3.5527136788005001e-15_dp, &
+         & 3.5527136788005001e-15_dp, 3.5527136788005001e-15_dp, 3.5527136788005001e-15_dp, 3.5527136788005001e-15_dp, &
+         & 3.5527136788005001e-15_dp &
+         &]
+      case (19)
+         out = [&
+         & 19.0000000000000000_dp, 18.9999999888122986_dp, 18.9999996428677989_dp, 18.9999972990388990_dp, &
+         & 18.9999886828232007_dp, 18.9999657147492016_dp, 18.9999154476189993_dp, 18.9998191721488006_dp, &
+         & 18.9996517235668989_dp, 18.9993810157276997_dp, 18.9989678224950005_dp, 18.9983658187539994_dp, &
+         & 18.9975218856836001_dp, 18.9963766771198017_dp, 18.9948654362349991_dp, 18.9929190445910017_dp, &
+         & 18.9904652791314987_dp, 18.9874302470208001_dp, 18.9837399635507005_dp, 18.9793220346771996_dp, &
+         & 18.9741074031216002_dp, 18.9680321153220994_dp, 18.9610390657796017_dp, 18.9530796753880004_dp, &
+         & 18.9441154611107017_dp, 18.9341194557847992_dp, 18.9230774389140990_dp, 18.9109889420907997_dp, &
+         & 18.8978679962633009_dp, 18.8837435925693988_dp, 18.8686598339890992_dp, 18.8526757617280012_dp, &
+         & 18.8358648479934985_dp, 18.8183141555818985_dp, 18.8001231741916008_dp, 18.7814023532841006_dp, &
+         & 18.7622713611631013_dp, 18.7428571092336007_dp, 18.7232915886261999_dp, 18.7037095730577008_dp, &
+         & 18.6842462465695007_dp, 18.6650348174010006_dp, 18.6462041795993017_dp, 18.6278766820941009_dp, &
+         & 18.6101660610354003_dp, 18.5931755854936007_dp, 18.5769964594807000_dp, 18.5617065150639000_dp, &
+         & 18.5473692224693991_dp, 18.5340330338793997_dp, 18.5217310684023992_dp, 18.5104811367157005_dp, &
+         & 18.5002860953330988_dp, 18.4911345125041002_dp, 18.4830016205174985_dp, 18.4758505227705996_dp, &
+         & 18.4696336184384009_dp, 18.4642942030199997_dp, 18.4597681995132987_dp, 18.4559859725403008_dp, &
+         & 18.4528741764652011_dp, 18.4503575884676003_dp, 18.4483608786737001_dp, 18.4468102718043987_dp, &
+         & 18.4456350583477011_dp, 18.4447689179152015_dp, 18.4441510231140988_dp, 18.4437268987887997_dp, &
+         & 18.4434490187062998_dp, 18.4432771294611015_dp, 18.4431782993491993_dp, 18.4431266979721009_dp, &
+         & 18.4431031201568985_dp, 18.4430942751879989_dp, 18.4430918691309991_dp, 18.4430915140017007_dp, &
+         & 18.4430914674161990_dp, 18.4430903820300998_dp, 18.4430830283702001_dp, 18.4430559953942002_dp, &
+         & 18.4429839342965991_dp, 18.4428262247204984_dp, 18.4425241704551013_dp, 18.4419988280879004_dp, &
+         & 18.4411495540330002_dp, 18.4398533348722005_dp, 18.4379649436227986_dp, 18.4353179410585000_dp, &
+         & 18.4317265173012999_dp, 18.4269881453190010_dp, 18.4208869954495995_dp, 18.4131980392472983_dp, &
+         & 18.4036917522644998_dp, 18.3921393090621983_dp, 18.3783181497068995_dp, 18.3620177849713997_dp, &
+         & 18.3430456969770006_dp, 18.3212331827044999_dp, 18.2964409795683984_dp, 18.2685645054783983_dp, &
+         & 18.2375385415376989_dp, 18.2033411854308014_dp, 18.1659969097334013_dp, 18.1255785740322004_dp, &
+         & 18.0822082645821993_dp, 18.0360568710003015_dp, 17.9873423555050991_dp, 17.9363267241678983_dp, &
+         & 17.8833117677622013_dp, 17.8286336972564996_dp, 17.7726568506335987_dp, 17.7157666888106000_dp, &
+         & 17.6583623254310993_dp, 17.6008488463516990_dp, 17.5436296697624989_dp, 17.4870991788445984_dp, &
+         & 17.4316358287846995_dp, 17.3775958927176006_dp, 17.3253079707673017_dp, 17.2750683464387009_dp, &
+         & 17.2271372380150005_dp, 17.1817359612185001_dp, 17.1390449940710994_dp, 17.0992029156749012_dp, &
+         & 17.0623061768831015_dp, 17.0284096515254006_dp, 16.9975279107649015_dp, 16.9696371591052007_dp, &
+         & 16.9446777674789004_dp, 16.9225573359180999_dp, 16.9031542149777003_dp, 16.8863214110828004_dp, &
+         & 16.8718907962790006_dp, 16.8596775376901995_dp, 16.8494846567088992_dp, 16.8411076230983987_dp, &
+         & 16.8343388853681013_dp, 16.8289722366384993_dp, 16.8248069153416999_dp, 16.8216513430299983_dp, &
+         & 16.8193264076729001_dp, 16.8176682102937001_dp, 16.8165302056315014_dp, 16.8157846834467009_dp, &
+         & 16.8153235556588996_dp, 16.8150584350543006_dp, 16.8149200130078995_dp, 16.8148567656448016_dp, &
+         & 16.8148330391834016_dp, 16.8148265849923995_dp, 16.8148256323666985_dp, 16.8148255482680007_dp, &
+         & 16.8148239003948987_dp, 16.8148127358055000_dp, 16.8147716934973985_dp, 16.8146622890298012_dp, &
+         & 16.8144228562596005_dp, 16.8139642994187994_dp, 16.8131668200340982_dp, 16.8118777600104004_dp, &
+         & 16.8099106755983989_dp, 16.8070457269463986_dp, 16.8030314344637013_dp, 16.7975878162380994_dp, &
+         & 16.7904108803445986_dp, 16.7811784024174990_dp, 16.7695568730433990_dp, 16.7552094525495008_dp, &
+         & 16.7378047242443984_dp, 16.7170259932446008_dp, 16.6925808391978983_dp, 16.6642106003391994_dp, &
+         & 16.6316994463488008_dp, 16.5948826913570997_dp, 16.5536540087124990_dp, 16.5079712376363013_dp, &
+         & 16.4578605193072001_dp, 16.4034185653267990_dp, 16.3448129420550998_dp, 16.2822803451105003_dp, &
+         & 16.2161229327521994_dp, 16.1467028771871988_dp, 16.0744353712507007_dp, 15.9997803876985003_dp, &
+         & 15.9232335250228001_dp, 15.8453162857031007_dp, 15.7665661217125006_dp, 15.6875265521700005_dp, &
+         & 15.6087376153022994_dp, 15.5307268679216008_dp, 15.4540010964168992_dp, 15.3790388582911000_dp, &
+         & 15.3062839351551006_dp, 15.2361397475798004_dp, 15.1689647586623000_dp, 15.1050688751269000_dp, &
+         & 15.0447108405840009_dp, 14.9880966037829992_dp, 14.9353786343441008_dp, 14.8866561490519995_dp, &
+         & 14.8419762031929992_dp, 14.8013355936266002_dp, 14.7646835133022005_dp, 14.7319248906271998_dp, &
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+         & 0.0013376647060568_dp, 0.0013376625682326_dp, 0.0013376623953398_dp, 0.0013376591869729_dp, &
+         & 0.0013376374499643_dp, 0.0013375575449537_dp, 0.0013373445669451_dp, 0.0013368785683028_dp, &
+         & 0.0013359865025500_dp, 0.0013344363731314_dp, 0.0013319341184861_dp, 0.0013281238089711_dp, &
+         & 0.0013225917502275_dp, 0.0013148750530085_dp, 0.0013044751114961_dp, 0.0012908762019599_dp, &
+         & 0.0012735690545220_dp, 0.0012520787634216_dp, 0.0012259958126606_dp, 0.0011950083631227_dp, &
+         & 0.0011589333632962_dp, 0.0011177436208385_dp, 0.0010715878233185_dp, 0.0010208007214096_dp, &
+         & 0.0009659013363574_dp, 0.0009075781049468_dp, 0.0008466612248412_dp, 0.0007840839297302_dp, &
+         & 0.0007208357791662_dp, 0.0006579120582231_dp, 0.0005962638631871_dp, 0.0005367533074505_dp, &
+         & 0.0004801175401283_dp, 0.0004269440667493_dp, 0.0003776584160136_dp, 0.0003325237580540_dp, &
+         & 0.0002916508703414_dp, 0.0002550160191461_dp, 0.0002225669427816_dp, 0.0001939453615734_dp, &
+         & 0.0001688988265052_dp, 0.0001471279442811_dp, 0.0001282961287394_dp, 0.0001120388893447_dp, &
+         & 9.8067348634600594e-05_dp, 8.6075697787180202e-05_dp, 7.5691770192065606e-05_dp, 6.6794742405562602e-05_dp, &
+         & 5.9183217448577400e-05_dp, 5.2517337092439200e-05_dp, 4.6618521146513103e-05_dp, 4.1345833384553998e-05_dp, &
+         & 3.6595247486559401e-05_dp, 3.2292461110472500e-05_dp, 2.8384324714636501e-05_dp, 2.4833070728647000e-05_dp, &
+         & 2.1630309149145399e-05_dp, 1.8744241376822401e-05_dp, 1.6107117147612401e-05_dp, 1.3707307406463099e-05_dp, &
+         & 1.1539573780083900e-05_dp, 9.5977534790847602e-06_dp, 7.8740829891898994e-06_dp, 6.3595648036596197e-06_dp, &
+         & 5.0445427177692198e-06_dp, 3.9187022693454301e-06_dp, 2.9707144690860298e-06_dp, 2.1879619716003201e-06_dp, &
+         & 1.5564790238897800e-06_dp, 1.0610707761316001e-06_dp, 6.8554877685755897e-07_dp, 4.1303248821122901e-07_dp, &
+         & -3.5527136788005001e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -3.5527136788005001e-15_dp &
+         &]
+      case (20)
+         out = [&
+         & 20.0000000000000000_dp, 19.9999999879758015_dp, 19.9999996161622988_dp, 19.9999970970674994_dp, &
+         & 19.9999878365514014_dp, 19.9999631509773010_dp, 19.9999091249780001_dp, 19.9998056502033990_dp, &
+         & 19.9996256800281991_dp, 19.9993347287494991_dp, 19.9988906364755010_dp, 19.9982436129587988_dp, &
+         & 19.9973365653193014_dp, 19.9961057062201988_dp, 19.9944814308956005_dp, 19.9923894437531011_dp, &
+         & 19.9897521083193013_dp, 19.9864899882605016_dp, 19.9825235422154996_dp, 19.9777749312906998_dp, &
+         & 19.9721698952735984_dp, 19.9656396518743016_dp, 19.9581227724874992_dp, 19.9495669879865005_dp, &
+         & 19.9399308788042013_dp, 19.9291854049763018_dp, 19.9173152339234001_dp, 19.9043198265877983_dp, &
+         & 19.8902142462590987_dp, 19.8750296591524993_dp, 19.8588135017110012_dp, 19.8416292967647010_dp, &
+         & 19.8235561091068000_dp, 19.8046876406072982_dp, 19.7851309754077995_dp, 19.7650049966261996_dp, &
+         & 19.7444385068265014_dp, 19.7235680947127001_dp, 19.7025357994993016_dp, 19.6814866316777994_dp, &
+         & 19.6605660140281984_dp, 19.6399172094440004_dp, 19.6196788023571003_dp, 19.5999822983215992_dp, &
+         & 19.5809499018613984_dp, 19.5626925263192000_dp, 19.5453080815630003_dp, 19.5288800764351009_dp, &
+         & 19.5134765631792000_dp, 19.4991494411464004_dp, 19.4859341271776998_dp, 19.4738495904678999_dp, &
+         & 19.4628987406339000_dp, 19.4530691492936008_dp, 19.4443340778380005_dp, 19.4366537773174990_dp, &
+         & 19.4299770205561018_dp, 19.4242428218137988_dp, 19.4193822956026985_dp, 19.4153206037012005_dp, &
+         & 19.4119789380516004_dp, 19.4092764871368999_dp, 19.4071323346244995_dp, 19.4054672415604017_dp, &
+         & 19.4042052671548007_dp, 19.4032751881509995_dp, 19.4026116828124984_dp, 19.4021562525301015_dp, &
+         & 19.4018578617766018_dp, 19.4016732853873002_dp, 19.4015671606990985_dp, 19.4015117506843993_dp, &
+         & 19.4014864326230985_dp, 19.4014769348199003_dp, 19.4014743511755015_dp, 19.4014739698344982_dp, &
+         & 19.4014739198105985_dp, 19.4014727543139003_dp, 19.4014648578916002_dp, 19.4014358296555010_dp, &
+         & 19.4013584498646985_dp, 19.4011891001432986_dp, 19.4008647523981992_dp, 19.4003006377007985_dp, &
+         & 19.3993886871031016_dp, 19.3979968144657988_dp, 19.3959690874977007_dp, 19.3931268080654995_dp, &
+         & 19.3892704971951986_dp, 19.3841827548576013_dp, 19.3776319403852995_dp, 19.3693765968656990_dp, &
+         & 19.3591705225831987_dp, 19.3467683747480983_dp, 19.3319316752813002_dp, 19.3144350749816986_dp, &
+         & 19.2940727205370983_dp, 19.2706645581482015_dp, 19.2440623979833987_dp, 19.2141555557745995_dp, &
+         & 19.1808758828709003_dp, 19.1442019959284018_dp, 19.1041625245768003_dp, 19.0608382122983997_dp, &
+         & 19.0143627342576984_dp, 18.9649221366009009_dp, 18.9127528538216012_dp, 18.8581383213433007_dp, &
+         & 18.8014042650256989_dp, 18.7429128123164013_dp, 18.6830556254018987_dp, 18.6222462998052016_dp, &
+         & 18.5609122987006998_dp, 18.4994867020555986_dp, 18.4384000409820992_dp, 18.3780724637631003_dp, &
+         & 18.3189064446591985_dp, 18.2612802043129996_dp, 18.2055419658402009_dp, 18.1520051274628997_dp, &
+         & 18.1009443937583008_dp, 18.0525928750722997_dp, 18.0071401390970003_dp, 17.9647311797992018_dp, &
+         & 17.9254662559377991_dp, 17.8894015430432987_dp, 17.8565505375627005_dp, 17.8268861485673007_dp, &
+         & 17.8003434098558984_dp, 17.7768227426192986_dp, 17.7561936955233008_dp, 17.7382990848674993_dp, &
+         & 17.7229594524225007_dp, 17.7099777528864983_dp, 17.6991441770790985_dp, 17.6902410115873003_dp, &
+         & 17.6830474312546997_dp, 17.6773441183452000_dp, 17.6729176020805987_dp, 17.6695642150997010_dp, &
+         & 17.6670935696389009_dp, 17.6653314661000991_dp, 17.6641221601435987_dp, 17.6633299312628012_dp, &
+         & 17.6628399154676998_dp, 17.6625581865176997_dp, 17.6624110932414986_dp, 17.6623438838814018_dp, &
+         & 17.6623186711315014_dp, 17.6623118126335008_dp, 17.6623108003329001_dp, 17.6623107109660005_dp, &
+         & 17.6623089598659000_dp, 17.6622970958987011_dp, 17.6622534826032016_dp, 17.6621372248246011_dp, &
+         & 17.6618827937369005_dp, 17.6613955132709997_dp, 17.6605480830947990_dp, 17.6591782888641013_dp, &
+         & 17.6570880223913989_dp, 17.6540437026615997_dp, 17.6497781531274995_dp, 17.6439939513604998_dp, &
+         & 17.6363682239235011_dp, 17.6265588126418002_dp, 17.6142116890023992_dp, 17.5989694425095990_dp, &
+         & 17.5804806182824009_dp, 17.5584096313872990_dp, 17.5324469432262013_dp, 17.5023191519511983_dp, &
+         & 17.4677986277483015_dp, 17.4287123181771015_dp, 17.3849493613788013_dp, 17.3364671777668988_dp, &
+         & 17.2832957642851994_dp, 17.2255399880829998_dp, 17.1633797649827997_dp, 17.0970681066334009_dp, &
+         & 17.0269271212298001_dp, 16.9533421475875983_dp, 16.8767542828961012_dp, 16.7976516238304008_dp, &
+         & 16.7165595747601010_dp, 16.6340305847468990_dp, 16.5506336594230987_dp, 16.4669439599270007_dp, &
+         & 16.3835327556071988_dp, 16.3009579471141990_dp, 16.2197553276534983_dp, 16.1404307065810997_dp, &
+         & 16.0634529830711017_dp, 15.9892482283185000_dp, 15.9181948114401006_dp, 15.8506195852108007_dp, &
+         & 15.7867951314155999_dp, 15.7269380508456003_dp, 15.6712082693567005_dp, 15.6197093189823004_dp, &
+         & 15.5724895421132992_dp, 15.5295441574767992_dp, 15.4908181190894005_dp, 15.4562096932657997_dp, &
+         & 15.4255746736325001_dp, 15.3987311493128995_dp, 15.3754647364060997_dp, 15.3555341771900995_dp, &
+         & 15.3386772049731004_dp, 15.3246165654103006_dp, 15.3130660778769006_dp, 15.3037366139257003_dp, &
+         & 15.2963418649027005_dp, 15.2906037684413008_dp, 15.2862574647854998_dp, 15.2830556594645994_dp, &
+         & 15.2807722792988994_dp, 15.2792053242256998_dp, 15.2781788377926997_dp, 15.2775439438035008_dp, &
+         & 15.2771789245706007_dp, 15.2769883463452008_dp, 15.2769012683720007_dp, 15.2768686022225992_dp, &
+         & 15.2768597162194002_dp, 15.2768584046632991_dp, 15.2768582994603008_dp, 15.2768563579307006_dp, &
+         & 15.2768432037766999_dp, 15.2767948476317006_dp, 15.2766659472633997_dp, 15.2763838487135004_dp, &
+         & 15.2758435838018993_dp, 15.2749040196557999_dp, 15.2733853296786002_dp, 15.2710679251258004_dp, &
+         & 15.2676929520286002_dp, 15.2629644192388998_dp, 15.2565529794994994_dp, 15.2481013365293006_dp, &
+         & 15.2372311974010000_dp, 15.2235516318744999_dp, 15.2066686405020999_dp, 15.1861956737532999_dp, &
+         & 15.1617647884469005_dp, 15.1330380793372008_dp, 15.0997189869591999_dp, 15.0615630617561003_dp, &
+         & 15.0183877623064994_dp, 14.9700808841393993_dp, 14.9166072555794997_dp, 14.8580133970472001_dp, &
+         & 14.7944299174560001_dp, 14.7260715119269996_dp, 14.6532345244648994_dp, 14.5762921428165004_dp, &
+         & 14.4956873956757004_dp, 14.4119242196711994_dp, 14.3255569495270993_dp, 14.2371786529607007_dp, &
+         & 14.1474087754903994_dp, 14.0568805733967999_dp, 13.9662287923682005_dp, 13.8760779960798004_dp, &
+         & 13.7870318695793994_dp, 13.6996637279069002_dp, 13.6145083640086995_dp, 13.5320552839790995_dp, &
+         & 13.4527433105025995_dp, 13.3769564905758997_dp, 13.3050212198033009_dp, 13.2372044881698994_dp, &
+         & 13.1737131552671993_dp, 13.1146941709755005_dp, 13.0602356665169008_dp, 13.0103688481747000_dp, &
+         & 12.9650706308087003_dp, 12.9242669504666008_dp, 12.8878366951516004_dp, 12.8556161904941995_dp, &
+         & 12.8274041729277997_dp, 12.8029671771297995_dp, 12.7820452570969003_dp, 12.7643579515130003_dp, &
+         & 12.7496103944506007_dp, 12.7374994625720994_dp, 12.7277198407330001_dp, 12.7199698802761993_dp, &
+         & 12.7139571194456007_dp, 12.7094033343327997_dp, 12.7060489924976991_dp, 12.7036569905221004_dp, &
+         & 12.7020155715329999_dp, 12.7009403390194002_dp, 12.7002753084708999_dp, 12.6998929675023007_dp, &
+         & 12.6996933468701005_dp, 12.6996021375978998_dp, 12.6995679216962003_dp, 12.6995586141266994_dp, &
+         & 12.6995572403483994_dp, 12.6995571343893996_dp, 12.6995552317057001_dp, 12.6995423407398000_dp, &
+         & 12.6994949521258000_dp, 12.6993686310194995_dp, 12.6990921780344994_dp, 12.6985627285532008_dp, &
+         & 12.6976419834756999_dp, 12.6961537394911002_dp, 12.6938828581000003_dp, 12.6905757795389000_dp, &
+         & 12.6859426498903005_dp, 12.6796610864422004_dp, 12.6713815574210997_dp, 12.6607342976772994_dp, &
+         & 12.6473376225932004_dp, 12.6308074401650998_dp, 12.6107676986908004_dp, 12.5868614485547994_dp, &
+         & 12.5587621458212997_dp, 12.5261847876633006_dp, 12.4888964497993005_dp, 12.4467257979002994_dp, &
+         & 12.3995711705922993_dp, 12.3474068812619997_dp, 12.2902874570199003_dp, 12.2283496212246998_dp, &
+         & 12.1618119245457006_dp, 12.0909720314640996_dp, 12.0162017674427002_dp, 11.9379401209634999_dp, &
+         & 11.8566844701520999_dp, 11.7729803634173997_dp, 11.6874102263642001_dp, 11.6005813928380004_dp, &
+         & 11.5131138661985002_dp, 11.4256282077354001_dp, 11.3387339227680997_dp, 11.2530186724391008_dp, &
+         & 11.1690385827629992_dp, 11.0873098558035004_dp, 11.0083018158239998_dp, 10.9324314514426000_dp, &
+         & 10.8600594486554005_dp, 10.7914876536255004_dp, 10.7269578614109005_dp, 10.6666517986512996_dp, &
+         & 10.6106921542299002_dp, 10.5591445102511994_dp, 10.5120200335526004_dp, 10.4692788021616003_dp, &
+         & 10.4308336583763008_dp, 10.3965544976027999_dp, 10.3662729173857997_dp, 10.3397871626004001_dp, &
+         & 10.3168673095635999_dp, 10.2972606336106001_dp, 10.2806971017368003_dp, 10.2668949250187005_dp, &
+         & 10.2555660958468007_dp, 10.2464218239516001_dp, 10.2391777743593000_dp, 10.2335590013908995_dp, &
+         & 10.2293044671146003_dp, 10.2261710315704999_dp, 10.2239368065395997_dp, 10.2224037751220003_dp, &
+         & 10.2213995959191006_dp, 10.2207785326608995_dp, 10.2204214766956998_dp, 10.2202350594868001_dp, &
+         & 10.2201498835096007_dp, 10.2201179309927994_dp, 10.2201092391272006_dp, 10.2201079562257995_dp, &
+         & 10.2201078590882997_dp, 10.2201061383085996_dp, 10.2200944797716993_dp, 10.2200516217452009_dp, &
+         & 10.2199373778936007_dp, 10.2196873575704998_dp, 10.2192085370246009_dp, 10.2183758587091997_dp, &
+         & 10.2170300147828002_dp, 10.2149765464079998_dp, 10.2119863619943008_dp, 10.2077977442739005_dp, &
+         & 10.2021198771748001_dp, 10.1946378782308003_dp, 10.1850192706107006_dp, 10.1729217713787996_dp, &
+         & 10.1580022109106007_dp, 10.1399263351382007_dp, 10.1183791812102992_dp, 10.0930756627977996_dp, &
+         & 10.0637709587804007_dp, 10.0302702735774005_dp, 9.9924375335687401_dp, 9.9502026053515795_dp, &
+         & 9.9035666696788400_dp, 9.8526054592864707_dp, 9.7974701663250805_dp, 9.7383859401336093_dp, &
+         & 9.6756480207133997_dp, 9.6096156779380095_dp, 9.5407042410110101_dp, 9.4693755971400506_dp, &
+         & 9.3961276046674804_dp, 9.3214828986025999_dp, 9.2459775638374797_dp, 9.1701501153905607_dp, &
+         & 9.0945311615148405_dp, 9.0196340428854604_dp, 8.9459466492585307_dp, 8.8739245238741908_dp, &
+         & 8.8039852839848400_dp, 8.7365043193610106_dp, 8.6718116827133098_dp, 8.6101900570821606_dp, &
+         & 8.5518736734581395_dp, 8.4970480537068607_dp, 8.4458504650685704_dp, 8.3983709889084004_dp, &
+         & 8.3546541244172801_dp, 8.3147008648911402_dp, 8.2784711982749606_dp, 8.2458869939089201_dp, &
+         & 8.2168352435587106_dp, 8.1911716269815606_dp, 8.1687243708509403_dp, 8.1492983653424105_dp, &
+         & 8.1326794956408008_dp, 8.1186391366897208_dp, 8.1069387493558303_dp, 8.0973345055967698_dp, &
+         & 8.0895818600620597_dp, 8.0834399767543008_dp, 8.0786759128900698_dp, 8.0750684588439992_dp, &
+         & 8.0724115338240594_dp, 8.0705170422881096_dp, 8.0692171063502496_dp, 8.0683656044706105_dp, &
+         & 8.0678389661259295_dp, 8.0675361951137692_dp, 8.0673781195431005_dp, 8.0673058930944794_dp, &
+         & 8.0672787983929499_dp, 8.0672714279708408_dp, 8.0672703401117598_dp, 8.0672702584458307_dp, &
+         & 8.0672688210328900_dp, 8.0672590823474906_dp, 8.0672232818912306_dp, 8.0671278508762896_dp, &
+         & 8.0669190017101506_dp, 8.0665190277963994_dp, 8.0658234611132098_dp, 8.0646992170740894_dp, &
+         & 8.0629838353365493_dp, 8.0604859010319103_dp, 8.0569867026664106_dp, 8.0522431499772704_dp, &
+         & 8.0459919367832793_dp, 8.0379548902502194_dp, 8.0278453995788794_dp, 8.0153757653965307_dp, &
+         & 8.0002652585856797_dp, 7.9822486274134601_dp, 7.9610847489395900_dp, 7.9365650895048301_dp, &
+         & 7.9085216242126002_dp, 7.8768338704365304_dp, 7.8414347176695802_dp, 7.8023147854426602_dp, &
+         & 7.7595251100103200_dp, 7.7131780439346498_dp, 7.6634463434645204_dp, 7.6105605084264099_dp, &
+         & 7.5548045200093599_dp, 7.4965101864916104_dp, 7.4360503512533898_dp, 7.3738312401182302_dp, &
+         & 7.3102842281066698_dp, 7.2458572935383003_dp, 7.1810064058846503_dp, 7.1161870685486601_dp, &
+         & 7.0518462130727100_dp, 6.9884146191022802_dp, 6.9263000142644700_dp, 6.8658809876462596_dp, &
+         & 6.8075018268190304_dp, 6.7514683590974904_dp, 6.6980448424655501_dp, 6.6474519120863702_dp, &
+         & 6.5998655481582000_dp, 6.5554169946143102_dp, 6.5141935299978799_dp, 6.4762399745588803_dp, &
+         & 6.4415608119882002_dp, 6.4101228089761602_dp, 6.3818580281995798_dp, 6.3566671469087304_dp, &
+         & 6.3344230105427304_dp, 6.3149743659083102_dp, 6.2981497295022404_dp, 6.2837613526251301_dp, &
+         & 6.2716092459840400_dp, 6.2614852231548399_dp, 6.2531769156719399_dp, 6.2464717040016904_dp, &
+         & 6.2411604997066501_dp, 6.2370413061737500_dp, 6.2339224796772896_dp, 6.2316256103787300_dp, &
+         & 6.2299879449227600_dp, 6.2288642790074098_dp, 6.2281282597122001_dp, 6.2276730530877096_dp, &
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+         & 0.3822409554055390_dp, 0.3821667472494780_dp, 0.3820468052639330_dp, 0.3818637981758890_dp, &
+         & 0.3815973069886240_dp, 0.3812240029297800_dp, 0.3807179604242530_dp, 0.3800511037474340_dp, &
+         & 0.3791937814463890_dp, 0.3781154575581310_dp, 0.3767855032538490_dp, 0.3751740670419390_dp, &
+         & 0.3732529964069720_dp, 0.3709967791564850_dp, 0.3683834692349880_dp, 0.3653955597727080_dp, &
+         & 0.3620207660164850_dp, 0.3582526827616450_dp, 0.3540912850081950_dp, 0.3495432466480710_dp, &
+         & 0.3446220597068820_dp, 0.3393479455178010_dp, 0.3337475586074130_dp, 0.3278534934109810_dp, &
+         & 0.3217036126360680_dp, 0.3153402236741980_dp, 0.3088091355480560_dp, 0.3021586332133670_dp, &
+         & 0.2954384084480210_dp, 0.2886984869788950_dp, 0.2819881899289600_dp, 0.2753551642217680_dp, &
+         & 0.2688445114798130_dp, 0.2624980385377040_dp, 0.2563536454087900_dp, 0.2504448589137880_dp, &
+         & 0.2448005127495850_dp, 0.2394445680664030_dp, 0.2343960630676880_dp, 0.2296691760549340_dp, &
+         & 0.2252733838477140_dp, 0.2212136965902260_dp, 0.2174909504376640_dp, 0.2141021412241070_dp, &
+         & 0.2110407846164360_dp, 0.2082972911057230_dp, 0.2058593471427020_dp, 0.2037122964931330_dp, &
+         & 0.2018395182375380_dp, 0.2002227996082770_dp, 0.1988427029604160_dp, 0.1976789265997210_dp, &
+         & 0.1967106589938580_dp, 0.1959169251761070_dp, 0.1952769230605860_dp, 0.1947703460975990_dp, &
+         & 0.1943776873920590_dp, 0.1940805192699350_dp, 0.1938617414676610_dp, 0.1937057907665650_dp, &
+         & 0.1935988050786040_dp, 0.1935287357399070_dp, 0.1934854030583320_dp, 0.1934604919125180_dp, &
+         & 0.1934474862940550_dp, 0.1934415439754420_dp, 0.1934393148156170_dp, 0.1934387084309460_dp, &
+         & 0.1934386189298750_dp, 0.1934386118865350_dp, 0.1934384835937240_dp, 0.1934376143917050_dp, &
+         & 0.1934344191232210_dp, 0.1934259017879330_dp, 0.1934072622005760_dp, 0.1933715666655080_dp, &
+         & 0.1933094965402520_dp, 0.1932091873675220_dp, 0.1930561698393130_dp, 0.1928334221011280_dp, &
+         & 0.1925215406603090_dp, 0.1920990342739300_dp, 0.1915427415304340_dp, 0.1908283683369310_dp, &
+         & 0.1899311362066240_dp, 0.1888265262545340_dp, 0.1874910974306300_dp, 0.1859033511574140_dp, &
+         & 0.1840446087114710_dp, 0.1818998629841640_dp, 0.1794585632790520_dp, 0.1767152911021590_dp, &
+         & 0.1736702868995580_dp, 0.1703297926225530_dp, 0.1667061828308500_dp, 0.1628178674695560_dp, &
+         & 0.1586889618773170_dp, 0.1543487331368920_dp, 0.1498308455036690_dp, 0.1451724401752660_dp, &
+         & 0.1404130949500450_dp, 0.1355937163770340_dp, 0.1307554201281070_dp, 0.1259384542277000_dp, &
+         & 0.1211812146042450_dp, 0.1165193937700660_dp, 0.1119852922374170_dp, 0.1076073097183150_dp, &
+         & 0.1034096204849990_dp, 0.0994120256517377_dp, 0.0956299655078148_dp, 0.0920746679902784_dp, &
+         & 0.0887534051723975_dp, 0.0856698281633435_dp, 0.0828243517118743_dp, 0.0802145625662938_dp, &
+         & 0.0778356296795089_dp, 0.0756806990849590_dp, 0.0737412611886334_dp, 0.0720074829074022_dp, &
+         & 0.0704685012343695_dp, 0.0691126782464018_dp, 0.0679278202049076_dp, 0.0669013652305885_dp, &
+         & 0.0660205450961158_dp, 0.0652725270479131_dp, 0.0646445413292120_dp, 0.0641239993364273_dp, &
+         & 0.0636986062145191_dp, 0.0633564703090563_dp, 0.0630862103724219_dp, 0.0628770599002486_dp, &
+         & 0.0627189665796344_dp, 0.0626026836802183_dp, 0.0625198494107444_dp, 0.0624630498674819_dp, &
+         & 0.0624258612496043_dp, 0.0624028675042574_dp, 0.0623896504410517_dp, 0.0623827505396797_dp, &
+         & 0.0623795980540081_dp, 0.0623784154698512_dp, 0.0623780937803637_dp, 0.0623780462997416_dp, &
+         & 0.0623780425301526_dp, 0.0623779734475711_dp, 0.0623775054041431_dp, 0.0623757848453153_dp, &
+         & 0.0623711986078668_dp, 0.0623611624533318_dp, 0.0623419447524611_dp, 0.0623085335699685_dp, &
+         & 0.0622545551993383_dp, 0.0621722519024850_dp, 0.0620525260589062_dp, 0.0618850569231988_dp, &
+         & 0.0616584945146101_dp, 0.0613607326282164_dp, 0.0609792594449523_dp, 0.0605015797179682_dp, &
+         & 0.0599156971714621_dp, 0.0592106398851087_dp, 0.0583770055530479_dp, 0.0574074982532551_dp, &
+         & 0.0562974244848746_dp, 0.0550451144744351_dp, 0.0536522357487499_dp, 0.0521239701191121_dp, &
+         & 0.0504690325678183_dp, 0.0486995206974470_dp, 0.0468305955865276_dp, 0.0448800079088372_dp, &
+         & 0.0428674956102704_dp, 0.0408140898650124_dp, 0.0387413732088255_dp, 0.0366707368068049_dp, &
+         & 0.0346226823997995_dp, 0.0326162088081539_dp, 0.0306683137441901_dp, 0.0287936303469785_dp, &
+         & 0.0270042057982671_dp, 0.0253094180457794_dp, 0.0237160171743511_dp, 0.0222282710084265_dp, &
+         & 0.0208481903749309_dp, 0.0195758080661328_dp, 0.0184094866263251_dp, 0.0173462331044938_dp, &
+         & 0.0163820031282853_dp, 0.0155119812823479_dp, 0.0147308292031987_dp, 0.0140328967050394_dp, &
+         & 0.0134123945245967_dp, 0.0128635299004642_dp, 0.0123806081478328_dp, 0.0119581046251014_dp, &
+         & 0.0115907120609151_dp, 0.0112733682688102_dp, 0.0110012690173242_dp, 0.0107698704051771_dp, &
+         & 0.0105748845938187_dp, 0.0104122721924078_dp, 0.0102782339713556_dp, 0.0101692039133461_dp, &
+         & 0.0100818449238034_dp, 0.0100130478519027_dp, 0.0099599338507552_dp, 0.0099198595556942_dp, &
+         & 0.0098904241051230_dp, 0.0098694766898077_dp, 0.0098551231117341_dp, 0.0098457297761172_dp, &
+         & 0.0098399236317199_dp, 0.0098365868037433_dp, 0.0098348450061465_dp, 0.0098340492391671_dp, &
+         & 0.0098337507315875_dp, 0.0098336695314281_dp, 0.0098336575464941_dp, 0.0098336565862773_dp, &
+         & 0.0098336388791864_dp, 0.0098335189116980_dp, 0.0098330779082758_dp, 0.0098319024299478_dp, &
+         & 0.0098293303042922_dp, 0.0098244058315267_dp, 0.0098158466855658_dp, 0.0098020250493356_dp, &
+         & 0.0097809656246568_dp, 0.0097503631562113_dp, 0.0097076219004464_dp, 0.0096499189408910_dp, &
+         & 0.0095742922978843_dp, 0.0094777533387571_dp, 0.0093574210616154_dp, 0.0092106734904611_dp, &
+         & 0.0090353088722139_dp, 0.0088297069019383_dp, 0.0085929781945602_dp, 0.0083250890787632_dp, &
+         & 0.0080269488917430_dp, 0.0077004485785004_dp, 0.0073484426380048_dp, 0.0069746711446115_dp, &
+         & 0.0065836242348070_dp, 0.0061803573338644_dp, 0.0057702705929472_dp, 0.0053588696688429_dp, &
+         & 0.0049515265732758_dp, 0.0045532587536101_dp, 0.0041685421166129_dp, 0.0038011697855822_dp, &
+         & 0.0034541633868024_dp, 0.0031297380484077_dp, 0.0028293167957720_dp, 0.0025535856681422_dp, &
+         & 0.0023025785583073_dp, 0.0020757806389398_dp, 0.0018722404976508_dp, 0.0016906826235186_dp, &
+         & 0.0015296131283726_dp, 0.0013874129322495_dp, 0.0012624147481937_dp, 0.0011529629960165_dp, &
+         & 0.0010574582496261_dp, 0.0009743889024207_dp, 0.0009023523156451_dp, 0.0008400667654094_dp, &
+         & 0.0007863751360873_dp, 0.0007402418056266_dp, 0.0007007449115797_dp, 0.0006670663838086_dp, &
+         & 0.0006384815522154_dp, 0.0006143491938637_dp, 0.0005941021508988_dp, 0.0005772384031317_dp, &
+         & 0.0005633126008497_dp, 0.0005519282662370_dp, 0.0005427309529722_dp, 0.0005354025792030_dp, &
+         & 0.0005296569972515_dp, 0.0005252367208826_dp, 0.0005219106400496_dp, 0.0005194725122912_dp, &
+         & 0.0005177400091441_dp, 0.0005165540986916_dp, 0.0005157785543375_dp, 0.0005152993960031_dp, &
+         & 0.0005150240953711_dp, 0.0005148804123003_dp, 0.0005148147734353_dp, 0.0005147901518292_dp, &
+         & 0.0005147834543244_dp, 0.0005147824657925_dp, 0.0005147823858742_dp, 0.0005147809031705_dp, &
+         & 0.0005147708577447_dp, 0.0005147339310838_dp, 0.0005146355089352_dp, 0.0005144201691074_dp, &
+         & 0.0005140079769212_dp, 0.0005132918263939_dp, 0.0005121360957219_dp, 0.0005103769165515_dp, &
+         & 0.0005078243759904_dp, 0.0005042669647253_dp, 0.0004994785348700_dp, 0.0004932279165608_dp, &
+         & 0.0004852911401905_dp, 0.0004754659023369_dp, 0.0004635874986256_dp, 0.0004495449675801_dp, &
+         & 0.0004332957562454_dp, 0.0004148770092698_dp, 0.0003944117922572_dp, 0.0003721092701419_dp, &
+         & 0.0003482588953752_dp, 0.0003232195427287_dp, 0.0002974046966671_dp, 0.0002712640891467_dp, &
+         & 0.0002452612614725_dp, 0.0002198467213894_dp, 0.0001954286454549_dp, 0.0001723466268047_dp, &
+         & 1.5085588292862399e-04_dp, 1.3112649474322801e-04_dp, 1.1325467654543800e-04_dp, 9.7275879067382193e-05_dp, &
+         & 8.3170036585755697e-05_dp, 7.0859461363426094e-05_dp, 6.0211120825215403e-05_dp, 5.1054628080748898e-05_dp, &
+         & 4.3213237105987901e-05_dp, 3.6529836684451298e-05_dp, 3.0867966987813100e-05_dp, 2.6085178326695799e-05_dp, &
+         & 2.2003714857277102e-05_dp, 1.8414949881417900e-05_dp, 1.5128031158440099e-05_dp, 1.2031464734718601e-05_dp, &
+         & 9.1243608224544897e-06_dp, 6.4995707980131101e-06_dp, 4.2932596713285403e-06_dp, 2.6292177075504199e-06_dp, &
+         & 1.5644900450695300e-06_dp, 9.9157656308079801e-07_dp, 6.9119840162557001e-07_dp, 6.2098650133179902e-07_dp, &
+         & 6.4968725865810505e-07_dp, 6.3450466925019100e-07_dp, 5.7091720506718999e-07_dp, 4.8882783687531596e-07_dp, &
+         &  4.1164936703808100e-07_dp, -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, &
+         & -1.0658141036401500e-14_dp, -1.4210854715202001e-14_dp, -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, &
+         & -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, &
+         & -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp &
+         &]
+      case (21)
+         out = [&
+         & 21.0000000000000000_dp, 20.9999999871344016_dp, 20.9999995893051015_dp, 20.9999968939490991_dp, &
+         & 20.9999869854740986_dp, 20.9999605726467991_dp, 20.9999027664323989_dp, 20.9997920514650005_dp, &
+         & 20.9995994885667017_dp, 20.9992881788181016_dp, 20.9988130118370009_dp, 20.9981207124144014_dp, &
+         & 20.9971501907607987_dp, 20.9958331926533006_dp, 20.9940952370535996_dp, 20.9918568205725009_dp, &
+         & 20.9890348607527990_dp, 20.9855443437251985_dp, 20.9813001364972997_dp, 20.9762189200211999_dp, &
+         & 20.9702211962374001_dp, 20.9632333204374000_dp, 20.9551895094060008_dp, 20.9460337757740014_dp, &
+         & 20.9357217397235011_dp, 20.9242222705844014_dp, 20.9115189129592984_dp, 20.8976110548975988_dp, &
+         & 20.8825147994696998_dp, 20.8662635060478010_dp, 20.8489079738662006_dp, 20.8305162481235016_dp, &
+         & 20.8111730380059008_dp, 20.7909787464210005_dp, 20.7700481226162985_dp, 20.7485085607736011_dp, &
+         & 20.7264980795196010_dp, 20.7041630284411013_dp, 20.6816555774840012_dp, 20.6591310529763987_dp, &
+         & 20.6367451894872005_dp, 20.6146513695439992_dp, 20.5929979232819989_dp, 20.5719255574812010_dp, &
+         & 20.5515649784187993_dp, 20.5320347658948990_dp, 20.5134395471244986_dp, 20.4958685094124000_dp, &
+         & 20.4793942800814008_dp, 20.4640721914479009_dp, 20.4499399380553015_dp, 20.4370176231842002_dp, &
+         & 20.4253081820552005_dp, 20.4147981602806006_dp, 20.4054588181151004_dp, 20.3972475239773985_dp, &
+         & 20.3901093946372995_dp, 20.3839791344461005_dp, 20.3787830220982009_dp, 20.3744409907197017_dp, &
+         & 20.3708687456474991_dp, 20.3679798641535008_dp, 20.3656878226161986_dp, 20.3639078992640989_dp, &
+         & 20.3625589045772983_dp, 20.3615646966781014_dp, 20.3608554454451003_dp, 20.3603686164980004_dp, &
+         & 20.3600496544218998_dp, 20.3598523534062998_dp, 20.3597389126029995_dp, 20.3596796827084994_dp, &
+         & 20.3596526192648994_dp, 20.3596424667009011_dp, 20.3596397049449003_dp, 20.3596392973149989_dp, &
+         & 20.3596392438426008_dp, 20.3596379979986999_dp, 20.3596295572123012_dp, 20.3595985278284992_dp, &
+         & 20.3595158136536014_dp, 20.3593347894626007_dp, 20.3589880825615985_dp, 20.3583850815062988_dp, &
+         & 20.3574102705611999_dp, 20.3559224651848005_dp, 20.3537549984101993_dp, 20.3507168811991015_dp, &
+         & 20.3465949324812989_dp, 20.3411568475085005_dp, 20.3341551471472002_dp, 20.3253319265294010_dp, &
+         & 20.3144242995593984_dp, 20.3011704163677997_dp, 20.2853159138147987_dp, 20.2666206442141998_dp, &
+         & 20.2448655140837985_dp, 20.2198592525578000_dp, 20.1914449181201014_dp, 20.1595059432234009_dp, &
+         & 20.1239715106237007_dp, 20.0848210551713997_dp, 20.0420876931064988_dp, 19.9958604003285991_dp, &
+         & 19.9462847936454004_dp, 19.8935624152133990_dp, 19.8379484789427991_dp, 19.7797481051233000_dp, &
+         & 19.7193111407188013_dp, 19.6570257313366987_dp, 19.5933108703097005_dp, 19.5286081950138986_dp, &
+         & 19.4633733266710003_dp, 19.3980670559162007_dp, 19.3331466632965991_dp, 19.2690576346038007_dp, &
+         & 19.2062259900407000_dp, 19.1450513987870998_dp, 19.0859012015523000_dp, 19.0291054173771990_dp, &
+         & 18.9749527702796001_dp, 18.9236877380356994_dp, 18.8755085999281995_dp, 18.8305664421666989_dp, &
+         & 18.7889650677280997_dp, 18.7507617500813986_dp, 18.7159687660547007_dp, 18.6845556405557005_dp, &
+         & 18.6564520337799991_dp, 18.6315511990826010_dp, 18.6097139363396984_dp, 18.5907729611712007_dp, &
+         & 18.5745376049280999_dp, 18.5607987541638018_dp, 18.5493339319178006_dp, 18.5399124171643983_dp, &
+         & 18.5323002939352008_dp, 18.5262653186515003_dp, 18.5215814937971999_dp, 18.5180332388315989_dp, &
+         & 18.5154190556317992_dp, 18.5135545960000982_dp, 18.5122750528740987_dp, 18.5114368145648989_dp, &
+         & 18.5109183421003998_dp, 18.5106202528181996_dp, 18.5104646178077985_dp, 18.5103935056209004_dp, &
+         & 18.5103668287798016_dp, 18.5103595720128986_dp, 18.5103585009286000_dp, 18.5103584063722018_dp, &
+         & 18.5103565535868988_dp, 18.5103440006867999_dp, 18.5102978548013013_dp, 18.5101748460670983_dp, &
+         & 18.5099056406765996_dp, 18.5093900656468016_dp, 18.5084934309654017_dp, 18.5070441091124991_dp, &
+         & 18.5048325024602001_dp, 18.5016114956518010_dp, 18.4970984525932991_dp, 18.4909787759712003_dp, &
+         & 18.4829110012287003_dp, 18.4725333470174000_dp, 18.4594715910710008_dp, 18.4433480856184993_dp, &
+         & 18.4237916718798012_dp, 18.4004482015437993_dp, 18.3729913276261989_dp, 18.3411331913726983_dp, &
+         & 18.3046346096943005_dp, 18.2633143626077015_dp, 18.2170571953368992_dp, 18.1658201870145000_dp, &
+         & 18.1096371975752000_dp, 18.0486211845740989_dp, 17.9829642779968992_dp, 17.9129356069996994_dp, &
+         & 17.8388769794771989_dp, 17.7611966141438984_dp, 17.6803612067277989_dp, 17.5968866701974989_dp, &
+         & 17.5113279200548995_dp, 17.4242680797261009_dp, 17.3363074615370998_dp, 17.2480526418414009_dp, &
+         & 17.1601059019279987_dp, 17.0730552564278995_dp, 16.9874652435682982_dp, 16.9038686100813003_dp, &
+         & 16.8227589888787001_dp, 16.7445846390507995_dp, 16.6697432936509990_dp, 16.5985781393533003_dp, &
+         & 16.5313749321534011_dp, 16.4683602343701985_dp, 16.4097007405367989_dp, 16.3555036440019990_dp, &
+         & 16.3058179828626990_dp, 16.2606368935954002_dp, 16.2199006933551999_dp, 16.1835007068291006_dp, &
+         & 16.1512837498795996_dp, 16.1230571790306989_dp, 16.0985944122428997_dp, 16.0776408217924001_dp, &
+         & 16.0599198941939996_dp, 16.0451395451717005_dp, 16.0329984702596988_dp, 16.0231924045926988_dp, &
+         & 16.0154201598814012_dp, 16.0093893036269996_dp, 16.0048213463687006_dp, 16.0014563080837995_dp, &
+         & 15.9990565453580995_dp, 15.9974097368454995_dp, 15.9963309456370997_dp, 15.9956637028640003_dp, &
+         & 15.9952800861727003_dp, 15.9950797983632000_dp, 15.9949882839930009_dp, 15.9949539535965997_dp, &
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+         & 0.0052930448598154_dp, 0.0051654753153407_dp, 0.0050207246788965_dp, 0.0048591206703854_dp, &
+         & 0.0046814992730049_dp, 0.0044892025901469_dp, 0.0042840471232246_dp, 0.0040682630430879_dp, &
+         & 0.0038444077337978_dp, 0.0036152593779022_dp, 0.0033836983134279_dp, 0.0031525850541243_dp, &
+         & 0.0029246440710331_dp, 0.0027023616299466_dp, 0.0024879042359451_dp, 0.0022830617252865_dp, &
+         & 0.0020892161617567_dp, 0.0019073350397107_dp, 0.0017379853341310_dp, 0.0015813638386497_dp, &
+         & 0.0014373392873210_dp, 0.0013055030092737_dp, 0.0011852264027041_dp, 0.0010753622472599_dp, &
+         & 0.0009758186569151_dp, 0.0008852373846651_dp, 0.0008026931701153_dp, 0.0007272917200680_dp, &
+         & 0.0006581991417924_dp, 0.0005946635622713_dp, 0.0005362293066682_dp, 0.0004817424418668_dp, &
+         & 0.0004313532231848_dp, 0.0003845083124929_dp, 0.0003409419977274_dp, 0.0003004628564511_dp, &
+         & 0.0002629388050721_dp, 0.0002282815628227_dp, 0.0001964316308012_dp, 0.0001673446548729_dp, &
+         & 1.4097977289040400e-04_dp, 1.1729027346163400e-04_dp, 9.6216648145741601e-05_dp, 7.7681922658001695e-05_dp, &
+         & 6.1589017064989093e-05_dp, 4.7838489546592200e-05_dp, 3.6251047461632900e-05_dp, 2.6690565736231499e-05_dp, &
+         & 1.8982613251949898e-05_dp, 1.2938516896099399e-05_dp, 8.3585734955704504e-06_dp, 5.0355959508863196e-06_dp, &
+         &  2.7587435802445300e-06_dp, 1.3176538082859700e-06_dp, 5.0697808973154700e-07_dp, -7.1054273576010003e-15_dp, &
+         & -3.5527136788005001e-15_dp &
+         &]
+      case (22)
+         out = [&
+         & 22.0000000000000000_dp, 21.9999999861573983_dp, 21.9999995581155012_dp, 21.9999966580645996_dp, &
+         & 21.9999859971047016_dp, 21.9999575783921983_dp, 21.9998953821595009_dp, 21.9997762590633990_dp, &
+         & 21.9995690721104999_dp, 21.9992341199641999_dp, 21.9987228659921996_dp, 21.9979779882524014_dp, &
+         & 21.9969337560429992_dp, 21.9955167290078997_dp, 21.9936467654098990_dp, 21.9912383173924013_dp, &
+         & 21.9882019831099988_dp, 21.9844462787415011_dp, 21.9798795877368001_dp, 21.9744122402654014_dp, &
+         & 21.9679586726849010_dp, 21.9604396148649990_dp, 21.9517842522342015_dp, 21.9419323093369982_dp, &
+         & 21.9308360023689985_dp, 21.9184618095477006_dp, 21.9047920102999996_dp, 21.8898259472105998_dp, &
+         & 21.8735809686778992_dp, 21.8560930154709006_dp, 21.8374168210997013_dp, 21.8176257042307000_dp, &
+         & 21.7968109413100990_dp, 21.7750807189414992_dp, 21.7525586780562001_dp, 21.7293820749860984_dp, &
+         & 21.7056995975441005_dp, 21.6816688864150997_dp, 21.6574538228260991_dp, 21.6332216519617013_dp, &
+         & 21.6091400174402004_dp, 21.5853739850459014_dp, 21.5620831337725001_dp, 21.5394187891650013_dp, &
+         & 21.5175214682780016_dp, 21.4965185977101001_dp, 21.4765225566396012_dp, 21.4576290861099999_dp, &
+         & 21.4399160944823990_dp, 21.4234428774582994_dp, 21.4082497597291983_dp, 21.3943581544316004_dp, &
+         & 21.3817710263848006_dp, 21.3704737357067991_dp, 21.3604352299492000_dp, 21.3516095454281007_dp, &
+         & 21.3439375720267002_dp, 21.3373490304528985_dp, 21.3317646068310012_dp, 21.3270981866531990_dp, &
+         & 21.3232591285918005_dp, 21.3201545185428998_dp, 21.3176913455803998_dp, 21.3157785442694987_dp, &
+         & 21.3143288519968017_dp, 21.3132604355532997_dp, 21.3124982480389988_dp, 21.3119750850841996_dp, &
+         & 21.3116323181887992_dp, 21.3114202924185001_dp, 21.3112983855079001_dp, 21.3112347353001006_dp, &
+         & 21.3112056521234017_dp, 21.3111947418789001_dp, 21.3111917740144996_dp, 21.3111913359634997_dp, &
+         & 21.3111912785003987_dp, 21.3111899396798989_dp, 21.3111808689626017_dp, 21.3111475238770005_dp, &
+         & 21.3110586368216985_dp, 21.3108641030799006_dp, 21.3104915224202998_dp, 21.3098435224499987_dp, &
+         & 21.3087959699387994_dp, 21.3071971514082996_dp, 21.3048679770734992_dp, 21.3016032335082990_dp, &
+         & 21.2971738810405995_dp, 21.2913303627390000_dp, 21.2838068638127993_dp, 21.2743264340323002_dp, &
+         & 21.2626068619366997_dp, 21.2483671683492013_dp, 21.2313345679677994_dp, 21.2112517311644986_dp, &
+         & 21.1878841630876984_dp, 21.1610275033801010_dp, 21.1305145373671017_dp, 21.0962216992991003_dp, &
+         & 21.0580748418917985_dp, 21.0160540466061008_dp, 20.9701972589469996_dp, 20.9206025555143995_dp, &
+         & 20.8674288867048006_dp, 20.8108951912536995_dp, 20.7512778444817982_dp, 20.6889064770586018_dp, &
+         & 20.6241582793063003_dp, 20.5574509803505983_dp, 20.4892347546179003_dp, 20.4199833542508991_dp, &
+         & 20.3501847910958986_dp, 20.2803318947700006_dp, 20.2109130554553005_dp, 20.1424034252355000_dp, &
+         & 20.0752568052248996_dp, 20.0098983932122998_dp, 19.9467185134701985_dp, 19.8860674011915997_dp, &
+         & 19.8282510717043010_dp, 19.7735282707294999_dp, 19.7221084766892005_dp, 19.6741509086237016_dp, &
+         & 19.6297644822018995_dp, 19.5890086498678997_dp, 19.5518950576224988_dp, 19.5183899487769992_dp, &
+         & 19.4884172430374996_dp, 19.4618622166381989_dp, 19.4385757054884998_dp, 19.4183787482704986_dp, &
+         & 19.4010675802786992_dp, 19.3864188818909007_dp, 19.3741951784625002_dp, 19.3641502818197999_dp, &
+         & 19.3560346581601017_dp, 19.3496006038276001_dp, 19.3446071098605010_dp, 19.3408242990415999_dp, &
+         & 19.3380373258995988_dp, 19.3360496409559985_dp, 19.3346855354859990_dp, 19.3337919018823001_dp, &
+         & 19.3332391668133994_dp, 19.3329213789656009_dp, 19.3327554592471991_dp, 19.3326796478278986_dp, &
+         & 19.3326512081320985_dp, 19.3326434718250013_dp, 19.3326423299616010_dp, 19.3326422291568001_dp, &
+         & 19.3326402539359989_dp, 19.3326268715181016_dp, 19.3325776762342016_dp, 19.3324465388992017_dp, &
+         & 19.3321595441408007_dp, 19.3316098998692993_dp, 19.3306540170062000_dp, 19.3291089303505998_dp, &
+         & 19.3267512001243986_dp, 19.3233173982217004_dp, 19.3185062432660999_dp, 19.3119824040303989_dp, &
+         & 19.3033819415415984_dp, 19.2923193066038010_dp, 19.2783957523546015_dp, 19.2612089623471014_dp, &
+         & 19.2403636357351999_dp, 19.2154827154229011_dp, 19.1862188960777011_dp, 19.1522660107725002_dp, &
+         & 19.1133698718753990_dp, 19.0693381376316999_dp, 19.0200487938704015_dp, 18.9654568823340988_dp, &
+         & 18.9055991732284987_dp, 18.8405965672857008_dp, 18.7706541168270995_dp, 18.6960586684296999_dp, &
+         & 18.6171742425044009_dp, 18.5344353674759006_dp, 18.4483386693468994_dp, 18.3594330747167014_dp, &
+         & 18.2683090138711002_dp, 18.1755870114088012_dp, 18.0819060296256993_dp, 17.9879118915321996_dp, &
+         & 17.8942460636680991_dp, 17.8015350307189983_dp, 17.7103804491964993_dp, 17.6213502284802992_dp, &
+         & 17.5349706543994017_dp, 17.4517196418074008_dp, 17.3720211763472001_dp, 17.2962409802603005_dp, &
+         & 17.2246834120575016_dp, 17.1575895855214000_dp, 17.0951366709489001_dp, 17.0374383220386996_dp, &
+         & 16.9845461563820983_dp, 16.9364522064673011_dp, 16.8930922510983983_dp, 16.8543499331915996_dp, &
+         & 16.8200615677156016_dp, 16.7900215417601011_dp, 16.7639882061845000_dp, 16.7416901543099996_dp, &
+         & 16.7228327774225995_dp, 16.7071049797074984_dp, 16.6941859273352016_dp, 16.6837516987677006_dp, &
+         & 16.6754816971718007_dp, 16.6690646823859012_dp, 16.6642042803656985_dp, 16.6606238334166008_dp, &
+         & 16.6580704654491001_dp, 16.6563182532170018_dp, 16.6551704168158992_dp, 16.6544604699826984_dp, &
+         & 16.6540523018889992_dp, 16.6538391958004013_dp, 16.6537418245989990_dp, 16.6537052970944011_dp, &
+         & 16.6536953607080989_dp, 16.6536938941175983_dp, 16.6536937764788995_dp, 16.6536916054479995_dp, &
+         & 16.6536768963890012_dp, 16.6536228242487994_dp, 16.6534786871373015_dp, 16.6531632433539016_dp, &
+         & 16.6525591183551995_dp, 16.6515085010603983_dp, 16.6498103198893013_dp, 16.6472190554917994_dp, &
+         & 16.6434453089761014_dp, 16.6381582011090998_dp, 16.6309896289721983_dp, 16.6215403516523992_dp, &
+         & 16.6093878159754986_dp, 16.5940955679880986_dp, 16.5752240277080993_dp, 16.5523423363928011_dp, &
+         & 16.5250409209392011_dp, 16.4929443634460995_dp, 16.4557241201885986_dp, 16.4131106079042013_dp, &
+         & 16.3649041703151994_dp, 16.3109844570309015_dp, 16.2513177916855014_dp, 16.1859621760141010_dp, &
+         & 16.1150696694978990_dp, 16.0388859965751998_dp, 15.9577473599906003_dp, 15.8720745727465005_dp, &
+         & 15.7823647536304001_dp, 15.6891809519724994_dp, 15.5931401646560008_dp, 15.4949002715530000_dp, &
+         & 15.3951464365806991_dp, 15.2945774981200007_dp, 15.1938928094307002_dp, 15.0937798985162992_dp, &
+         & 14.9949032134553999_dp, 14.8978941195359997_dp, 14.8033422309495997_dp, 14.7117880985534999_dp, &
+         & 14.6237172363310002_dp, 14.5395554481478992_dp, 14.4596654068063994_dp, 14.3843444332065999_dp, &
+         & 14.3138234204600003_dp, 14.2482668440240996_dp, 14.1877737940620996_dp, 14.1323799609125000_dp, &
+         & 14.0820604996286001_dp, 14.0367336955513995_dp, 13.9962653498335996_dp, 13.9604738012991003_dp, &
+         & 13.9291354982842996_dp, 13.9019910304128000_dp, 13.8787515250365008_dp, 13.8591053061060006_dp, &
+         & 13.8427247047099993_dp, 13.8292729010672009_dp, 13.8184106683628993_dp, 13.8098028807361999_dp, &
+         & 13.8031246423319001_dp, 13.7980668929362995_dp, 13.7943413494843998_dp, 13.7916846524404999_dp, &
+         & 13.7898616020925999_dp, 13.7886673920387999_dp, 13.7879287749239001_dp, 13.7875041277214994_dp, &
+         & 13.7872824190556997_dp, 13.7871811174947005_dp, 13.7871431156134996_dp, 13.7871327781644997_dp, &
+         & 13.7871312523780993_dp, 13.7871311346947998_dp, 13.7871290214797995_dp, 13.7871147041330993_dp, &
+         & 13.7870620719880002_dp, 13.7869217735206000_dp, 13.7866147312573002_dp, 13.7860266990157001_dp, &
+         & 13.7850040760481996_dp, 13.7833511650092007_dp, 13.7808290287223993_dp, 13.7771560641108000_dp, &
+         & 13.7720103697349998_dp, 13.7650339355437996_dp, 13.7558386292863002_dp, 13.7440138936973995_dp, &
+         & 13.7291360029781995_dp, 13.7107786581761992_dp, 13.6885246318644000_dp, 13.6619781070930006_dp, &
+         & 13.6307772988386997_dp, 13.5946069033452996_dp, 13.5532098968428993_dp, 13.5063982042244994_dp, &
+         & 13.4540617828143994_dp, 13.3961757167675994_dp, 13.3328049919670004_dp, 13.2641067154906995_dp, &
+         & 13.1903296520975992_dp, 13.1118110660820992_dp, 13.0289709734182004_dp, 12.9423040198369996_dp, &
+         & 12.8523692995306007_dp, 12.7597785114596007_dp, 12.6651829114434005_dp, 12.5692595548274006_dp, &
+         & 12.4726973342001006_dp, 12.3761832985862004_dp, 12.2803896961126995_dp, 12.1859621150079001_dp, &
+         & 12.0935090139051002_dp, 12.0035928393925992_dp, 11.9167228348600993_dp, 11.8333495577935999_dp, &
+         & 11.7538610491012996_dp, 11.6785805419702999_dp, 11.6077655607875005_dp, 11.5416082421414004_dp, &
+         & 11.4802367073019003_dp, 11.4237173251411992_dp, 11.3720577220085008_dp, 11.3252104165034009_dp, &
+         & 11.2830769788554992_dp, 11.2455126339408000_dp, 11.2123312419377008_dp, 11.1833106001889995_dp, &
+         & 11.1581980136376000_dp, 11.1367160795113005_dp, 11.1185686254853007_dp, 11.1034467304285993_dp, &
+         & 11.0910347444229007_dp, 11.0810162115402004_dp, 11.0730795865234004_dp, 11.0669236266150008_dp, &
+         & 11.0622623338435009_dp, 11.0588293223355993_dp, 11.0563814906043998_dp, 11.0547018907184000_dp, &
+         & 11.0536017047377992_dp, 11.0529212632395009_dp, 11.0525300700435007_dp, 11.0523258299380007_dp, &
+         & 11.0522325104896009_dp, 11.0521975030688004_dp, 11.0521879801944998_dp, 11.0521865746380001_dp, &
+         & 11.0521864682135007_dp, 11.0521845829140997_dp, 11.0521718097320996_dp, 11.0521248541512005_dp, &
+         & 11.0519996877130993_dp, 11.0517257635227999_dp, 11.0512011640037002_dp, 11.0502888750155002_dp, &
+         & 11.0488143573026001_dp, 11.0465645593800001_dp, 11.0432884847060997_dp, 11.0386993894018008_dp, &
+         & 11.0324786438714000_dp, 11.0242812417228002_dp, 11.0137428821845003_dp, 11.0004884884787000_dp, &
+         & 10.9841419561106992_dp, 10.9643368548601998_dp, 10.9407277406890007_dp, 10.9130016741610998_dp, &
+         & 10.8808894962817995_dp, 10.8441763868961996_dp, 10.8027112302653006_dp, 10.7564143409382993_dp, &
+         & 10.7052831621086000_dp, 10.6493956369392002_dp, 10.5889110663646004_dp, 10.5240683970533002_dp, &
+         & 10.4551820204129005_dp, 10.3826352960924009_dp, 10.3068721295346002_dp, 10.2283870223050002_dp, &
+         & 10.1477140685750999_dp, 10.0654153877121999_dp, 9.9820694624236399_dp, 9.8982597997219592_dp, &
+         & 9.8145642569381408_dp, 9.7315452878465507_dp, 9.6497412755498200_dp, 9.5696590384208893_dp, &
+         & 9.4917675296712698_dp, 9.4164927032264991_dp, 9.3442134885544696_dp, 9.2752588024143705_dp, &
+         & 9.2099055221977792_dp, 9.1483773492335505_dp, 9.0908444972154392_dp, 9.0374241478902402_dp, &
+         & 8.9881816216076800_dp, 8.9431322136208102_dp, 8.9022436481977394_dp, 8.8654391020694892_dp, &
+         & 8.8326007469289607_dp, 8.8035737578851307_dp, 8.7781707310206496_dp, 8.7561764483962801_dp, &
+         & 8.7373529228552904_dp, 8.7214446477693297_dp, 8.7081839686145095_dp, 8.6972964844293905_dp, &
+         & 8.6885063785176300_dp, 8.6815415701756304_dp, 8.6761385738291903_dp, 8.6720469498383892_dp, &
+         & 8.6690332333283795_dp, 8.6668842344255292_dp, 8.6654096155713791_dp, 8.6644436690876407_dp, &
+         & 8.6638462403759693_dp, 8.6635027681613401_dp, 8.6633234418012108_dp, 8.6632415054416505_dp, &
+         & 8.6632107681769099_dp, 8.6632024068854800_dp, 8.6632011727760094_dp, 8.6632010801310209_dp, &
+         & 8.6631994494740905_dp, 8.6631884015308103_dp, 8.6631477880825205_dp, 8.6630395272327796_dp, &
+         & 8.6628025994488809_dp, 8.6623488484120497_dp, 8.6615597528156805_dp, 8.6602843142328503_dp, &
+         & 8.6583381818612093_dp, 8.6555041069645196_dp, 8.6515337875949303_dp, 8.6461511271072506_dp, &
+         & 8.6390568876698897_dp, 8.6299346724823494_dp, 8.6184581184437992_dp, 8.6042991261673301_dp, &
+         & 8.5871368990472003_dp, 8.5666675110330903_dp, 8.5426136780238107_dp, 8.5147343748453608_dp, &
+         & 8.4828339228445504_dp, 8.4467701755043496_dp, 8.4064614528998494_dp, 8.3618919199446502_dp, &
+         & 8.3131151656857991_dp, 8.2602558168581695_dp, 8.2035091026365397_dp, 8.1431383727971998_dp, &
+         & 8.0794706528206905_dp, 8.0128903929587594_dp, 7.9438316321107596_dp, 7.8727688514217196_dp, &
+         & 7.8002068375459404_dp, 7.7266699116961499_dp, 7.6526909063535804_dp, 7.5788002830587304_dp, &
+         & 7.5055157767228904_dp, 7.4333329194392004_dp, 7.3627167377064202_dp, 7.2940948341034701_dp, &
+         & 7.2278519661065204_dp, 7.1643261334715804_dp, 7.1038060951753703_dp, 7.0465301687473803_dp, &
+         & 6.9926861252781203_dp, 6.9424119826800403_dp, 6.8957975128829903_dp, 6.8528863074246100_dp, &
+         & 6.8136782815526900_dp, 6.7781325320094403_dp, 6.7461704929922304_dp, 6.7176793557736998_dp, &
+         & 6.6925157295705802_dp, 6.6705095252939399_dp, 6.6514680413109097_dp, 6.6351802230160999_dp, &
+         & 6.6214210574957502_dp, 6.6099560523237502_dp, 6.6005457348300904_dp, 6.5929500961544898_dp, &
+         & 6.5869328940728602_dp, 6.5822657209079196_dp, 6.5787317386626700_dp, 6.5761289835541001_dp, &
+         & 6.5742731468781797_dp, 6.5729997488306902_dp, 6.5721656364385703_dp, 6.5716497556583304_dp, &
+         & 6.5713531701646097_dp, 6.5711983242783303_dp, 6.5711275735645502_dp, 6.5711010324726900_dp, &
+         & 6.5710938126468399_dp, 6.5710927470154799_dp, 6.5710926672614596_dp, 6.5710912667407904_dp, &
+         & 6.5710817780062998_dp, 6.5710468964010600_dp, 6.5709539147445399_dp, 6.5707504261369296_dp, &
+         & 6.5703607190910196_dp, 6.5696830089453098_dp, 6.5685876321737302_dp, 6.5669163100667900_dp, &
+         & 6.5644825648224199_dp, 6.5610733436447504_dp, 6.5564518742558198_dp, 6.5503617377030698_dp, &
+         & 6.5425321013433297_dp, 6.5326840069260399_dp, 6.5205375571996802_dp, 6.5058197918700502_dp, &
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+         & 0.1562120777154520_dp, 0.1528108499871440_dp, 0.1493414812164180_dp, 0.1458307299854620_dp, &
+         & 0.1423054508448800_dp, 0.1387920137451710_dp, 0.1353157742990940_dp, 0.1319006101002960_dp, &
+         & 0.1285685338363830_dp, 0.1253393892944170_dp, 0.1222306319426030_dp, 0.1192571917793580_dp, &
+         & 0.1164314126565600_dp, 0.1137630596727380_dp, 0.1112593842417300_dp, 0.1089252357287660_dp, &
+         & 0.1067632081867240_dp, 0.1047738117554610_dp, 0.1029556592534990_dp, 0.1013056601252590_dp, &
+         & 0.0998192156988367_dp, 0.0984904113123726_dp, 0.0973122027548463_dp, 0.0962765955982121_dp, &
+         & 0.0953748174225311_dp, 0.0945974836570436_dp, 0.0939347577639751_dp, 0.0933765072716319_dp, &
+         & 0.0929124559190413_dp, 0.0925323325767131_dp, 0.0922260162055828_dp, 0.0919836757901393_dp, &
+         & 0.0917959031466040_dp, 0.0916538358518366_dp, 0.0915492671770934_dp, 0.0914747394837576_dp, &
+         & 0.0914236174257610_dp, 0.0913901379472293_dp, 0.0913694343607254_dp, 0.0913575325948024_dp, &
+         & 0.0913513190134907_dp, 0.0913484800224289_dp, 0.0913474150405271_dp, 0.0913471253322520_dp, &
+         & 0.0913470825722591_dp, 0.0913470792011530_dp, 0.0913470179109304_dp, 0.0913466026470466_dp, &
+         & 0.0913450760937451_dp, 0.0913410069359344_dp, 0.0913321019410596_dp, 0.0913150489251180_dp, &
+         & 0.0912853970534719_dp, 0.0912374810184922_dp, 0.0911643948191951_dp, 0.0910580198271198_dp, &
+         & 0.0909091114997729_dp, 0.0907074468258955_dp, 0.0904420333482605_dp, 0.0901013780292317_dp, &
+         & 0.0896738111962421_dp, 0.0891478576164459_dp, 0.0885126432846910_dp, 0.0877583226221468_dp, &
+         & 0.0868765081335034_dp, 0.0858606814386782_dp, 0.0847065639624063_dp, 0.0834124249228232_dp, &
+         & 0.0819793066470567_dp, 0.0804111504225382_dp, 0.0787148107919329_dp, 0.0768721390392813_dp, &
+         & 0.0749538090035600_dp, 0.0729436543710733_dp, 0.0708580307836684_dp, 0.0687146826558198_dp, &
+         & 0.0665322232513859_dp, 0.0643296005371461_dp, 0.0621255764548856_dp, 0.0599382448056289_dp, &
+         & 0.0577846086941847_dp, 0.0556802329674966_dp, 0.0536389808850046_dp, 0.0516728379738538_dp, &
+         & 0.0497918202125334_dp, 0.0480039588590131_dp, 0.0463153507604410_dp, 0.0447302609913400_dp, &
+         & 0.0432512640542413_dp, 0.0418794103532143_dp, 0.0406144058962248_dp, 0.0394547949405712_dp, &
+         & 0.0383981373851441_dp, 0.0374411749597314_dp, 0.0365799824643354_dp, 0.0358101022653408_dp, &
+         & 0.0351266618239876_dp, 0.0345244751848703_dp, 0.0339981301404784_dp, 0.0335420632872250_dp, &
+         & 0.0331506254478953_dp, 0.0328181399708818_dp, 0.0325389562350757_dp, 0.0323075003103526_dp, &
+         & 0.0321183241929504_dp, 0.0319661544087140_dp, 0.0318459401181634_dp, 0.0317529002186205_dp, &
+         & 0.0316825683697779_dp, 0.0316308344115548_dp, 0.0315939803323104_dp, 0.0315687088083259_dp, &
+         & 0.0315521623854806_dp, 0.0315419316086434_dp, 0.0315360508038509_dp, 0.0315329807478690_dp, &
+         & 0.0315315780719594_dp, 0.0315310518891820_dp, 0.0315309087555988_dp, 0.0315308876294118_dp, &
+         & 0.0315308859521579_dp, 0.0315308552141929_dp, 0.0315306469604977_dp, 0.0315298814057279_dp, &
+         & 0.0315278407779935_dp, 0.0315233752196455_dp, 0.0315148243118948_dp, 0.0314999578746864_dp, &
+         & 0.0314759395930402_dp, 0.0314393168765577_dp, 0.0313860400999602_dp, 0.0313115139103992_dp, &
+         & 0.0312106825289078_dp, 0.0310781498342969_dp, 0.0309083334478117_dp, 0.0306956500364102_dp, &
+         & 0.0304347266919152_dp, 0.0301206306723145_dp, 0.0297491072376310_dp, 0.0293168130682098_dp, &
+         & 0.0288215311477948_dp, 0.0282623523608514_dp, 0.0276398096814816_dp, 0.0269559529003622_dp, &
+         & 0.0262143553456404_dp, 0.0254200487550094_dp, 0.0245793878464617_dp, 0.0236998515505320_dp, &
+         & 0.0227897926629943_dp, 0.0218581514036025_dp, 0.0209141507971538_dp, 0.0199669927829547_dp, &
+         & 0.0190255732913371_dp, 0.0180982319898000_dp, 0.0171925481444468_dp, 0.0163151888631532_dp, &
+         & 0.0154718111259307_dp, 0.0146670154021322_dp, 0.0139043463023789_dp, 0.0131863338536569_dp, &
+         & 0.0125145670670221_dp, 0.0118897899044583_dp, 0.0113120095871686_dp, 0.0107806088887230_dp, &
+         & 0.0102944567721970_dp, 0.0098520139015328_dp, 0.0094514303218176_dp, 0.0090906325133915_dp, &
+         & 0.0087673973556726_dp, 0.0084794119558218_dp, 0.0082243202724861_dp, 0.0079997588781744_dp, &
+         & 0.0078033844168850_dp, 0.0076328946200128_dp, 0.0074860439490116_dp, 0.0073606546271883_dp, &
+         & 0.0072546240234139_dp, 0.0071659296854563_dp, 0.0070926334278134_dp, 0.0070328856456747_dp, &
+         & 0.0069849305734593_dp, 0.0069471127208374_dp, 0.0069178843289848_dp, 0.0068958134259205_dp, &
+         & 0.0068795918970963_dp, 0.0068680428898880_dp, 0.0068601268226196_dp, 0.0068549452701845_dp, &
+         & 0.0068517420563978_dp, 0.0068499010012459_dp, 0.0068489399422660_dp, 0.0068485008579309_dp, &
+         & 0.0068483361473319_dp, 0.0068482913425321_dp, 0.0068482847294540_dp, 0.0068482841995703_dp, &
+         & 0.0068482744276501_dp, 0.0068482082216761_dp, 0.0068479648457185_dp, 0.0068473161269367_dp, &
+         & 0.0068458965848990_dp, 0.0068431786171352_dp, 0.0068384540035034_dp, 0.0068308230170793_dp, &
+         & 0.0068191924404388_dp, 0.0068022837470991_dp, 0.0067786525702829_dp, 0.0067467202977163_dp, &
+         & 0.0067048181616123_dp, 0.0066512435212331_dp, 0.0065843271792225_dp, 0.0065025095850970_dp, &
+         & 0.0064044227386653_dp, 0.0062889735924294_dp, 0.0061554238343078_dp, 0.0060034601850205_dp, &
+         & 0.0058332489110846_dp, 0.0056454684132170_dp, 0.0054413148811605_dp, 0.0052224783744350_dp, &
+         & 0.0049910900812762_dp, 0.0047496450145203_dp, 0.0045009067075661_dp, 0.0042478007455458_dp, &
+         & 0.0039933027633161_dp, 0.0037403257211786_dp, 0.0034916124459094_dp, 0.0032496420055956_dp, &
+         & 0.0030165594096800_dp, 0.0027941344335716_dp, 0.0025837477719861_dp, 0.0023863962737529_dp, &
+         & 0.0022027089492767_dp, 0.0020329715937955_dp, 0.0018771636960686_dp, 0.0017350099505222_dp, &
+         & 0.0016060405079123_dp, 0.0014896472270394_dp, 0.0013851255206170_dp, 0.0012917019696097_dp, &
+         & 0.0012085572763532_dp, 0.0011348537957119_dp, 0.0010697677037612_dp, 0.0010125169370774_dp, &
+         & 0.0009623754916142_dp, 0.0009186722958177_dp, 0.0008807814625378_dp, 0.0008481134695941_dp, &
+         & 0.0008201128548713_dp, 0.0007962617051085_dp, 0.0007760844220392_dp, 0.0007591495956731_dp, &
+         & 0.0007450676298575_dp, 0.0007334854235168_dp, 0.0007240804277338_dp, 0.0007165558879016_dp, &
+         & 0.0007106379654971_dp, 0.0007060745312764_dp, 0.0007026350331785_dp, 0.0007001108610538_dp, &
+         & 0.0006983158152956_dp, 0.0006970864598834_dp, 0.0006962822375698_dp, 0.0006957852590865_dp, &
+         & 0.0006954996854383_dp, 0.0006953506308989_dp, 0.0006952825359505_dp, 0.0006952569926888_dp, &
+         & 0.0006952500444406_dp, 0.0006952490189036_dp, 0.0006952489360472_dp, 0.0006952473995447_dp, &
+         & 0.0006952369895892_dp, 0.0006951987223083_dp, 0.0006950967222679_dp, 0.0006948735305521_dp, &
+         & 0.0006944462180805_dp, 0.0006937035157044_dp, 0.0006925041885282_dp, 0.0006906769048314_dp, &
+         & 0.0006880218813343_dp, 0.0006843146231184_dp, 0.0006793121051238_dp, 0.0006727617216598_dp, &
+         & 0.0006644131819407_dp, 0.0006540331448832_dp, 0.0006414216883250_dp, 0.0006264287705697_dp, &
+         & 0.0006089680301002_dp, 0.0005890252428280_dp, 0.0005666601802616_dp, 0.0005420034923276_dp, &
+         & 0.0005152532444548_dp, 0.0004866762780438_dp, 0.0004566153598944_dp, 0.0004254948801652_dp, &
+         & 0.0003938110838462_dp, 0.0003620953742463_dp, 0.0003308547240621_dp, 0.0003005140347341_dp, &
+         & 0.0002713934125644_dp, 0.0002437341743367_dp, 0.0002177484369348_dp, 0.0001936409361534_dp, &
+         & 0.0001715703706928_dp, 0.0001515764421178_dp, 0.0001335470595762_dp, 0.0001172800782037_dp, &
+         & 1.0260575913179100e-04_dp, 8.9459640523870094e-05_dp, 7.7818841432986105e-05_dp, 6.7537537471906703e-05_dp, &
+         & 5.8262286966481697e-05_dp, 4.9414483736853801e-05_dp, 4.0571643605602503e-05_dp, 3.1601903330624703e-05_dp, &
+         & 2.2760706066549099e-05_dp, 1.4582799835238800e-05_dp, 7.6328366098721307e-06_dp, 2.1358041166763499e-06_dp, &
+         & 2.1318659548796901e-06_dp, 1.7654781601095199e-06_dp, 5.8021350568537897e-07_dp, 1.7398385452338499e-06_dp, &
+         & 2.0505452482666400e-06_dp, 1.9167036846568000e-06_dp, 1.6208660902350400e-06_dp, 1.3579249049655600e-06_dp, &
+         & 1.2107885751788699e-06_dp, 1.1582816910049600e-06_dp, 1.1331894498312099e-06_dp, 1.0832258361403999e-06_dp, &
+         & 9.8976851958809696e-07_dp, 8.5870091481865497e-07_dp, 7.0681107544601197e-07_dp, 5.5213529392972305e-07_dp, &
+         &  4.0896798481071501e-07_dp, 2.8626593007174998e-07_dp, -3.5527136788005001e-15_dp, -3.5527136788005001e-15_dp, &
+         & -7.1054273576010003e-15_dp, -3.5527136788005001e-15_dp, -7.1054273576010003e-15_dp, -3.5527136788005001e-15_dp, &
+         & -7.1054273576010003e-15_dp &
+         &]
+      case (23)
+         out = [&
+         & 23.0000000000000000_dp, 22.9999999851617005_dp, 22.9999995263306012_dp, 22.9999964176783003_dp, &
+         & 22.9999849898722992_dp, 22.9999545269919992_dp, 22.9998878569561995_dp, 22.9997601652566992_dp, &
+         & 22.9995380751302996_dp, 22.9991790293161991_dp, 22.9986309994907998_dp, 22.9978325396429000_dp, &
+         & 22.9967131893947005_dp, 22.9951942229466013_dp, 22.9931897292876997_dp, 22.9906079999063984_dp, &
+         & 22.9873531917588991_dp, 22.9833272259259012_dp, 22.9784318763682016_dp, 22.9725709985244002_dp, &
+         & 22.9656528441561001_dp, 22.9575924067219006_dp, 22.9483137405110007_dp, 22.9377521966212008_dp, &
+         & 22.9258565195050998_dp, 22.9125907491729990_dp, 22.8979358762673009_dp, 22.8818912002544010_dp, &
+         & 22.8644753451332008_dp, 22.8457268926025989_dp, 22.8257045998071995_dp, 22.8044871777520015_dp, &
+         & 22.7821726172636012_dp, 22.7588770617845988_dp, 22.7347332399384001_dp, 22.7098884850930993_dp, &
+         & 22.6845023833510986_dp, 22.6587441046777016_dp, 22.6327894834513010_dp, 22.6068179238733009_dp, &
+         & 22.5810092118730985_dp, 22.5555403180905003_dp, 22.5305822761282997_dp, 22.5062972167148985_dp, &
+         & 22.4828356320509997_dp, 22.4603339359197989_dp, 22.4389123746983010_dp, 22.4186733327902985_dp, &
+         & 22.3997000637703003_dp, 22.3820558661576001_dp, 22.3657837106286017_dp, 22.3509063139159991_dp, &
+         & 22.3374266438496996_dp, 22.3253288301051001_dp, 22.3145794463310985_dp, 22.3051291214982008_dp, &
+         & 22.2969144315823016_dp, 22.2898600171489001_dp, 22.2838808680806011_dp, 22.2788847136822987_dp, &
+         & 22.2747744547762991_dp, 22.2714505742471012_dp, 22.2688134638593986_dp, 22.2667656080894005_dp, &
+         & 22.2652135701567992_dp, 22.2640697313594984_dp, 22.2632537420774987_dp, 22.2626936512518014_dp, &
+         & 22.2623266905382984_dp, 22.2620996994256011_dp, 22.2619691880910011_dp, 22.2619010453551986_dp, &
+         & 22.2618699094498993_dp, 22.2618582291469984_dp, 22.2618550518072986_dp, 22.2618545828381009_dp, &
+         & 22.2618545213192007_dp, 22.2618530880031003_dp, 22.2618433770640998_dp, 22.2618076784469991_dp, &
+         & 22.2617125176731001_dp, 22.2615042537075993_dp, 22.2611053767097005_dp, 22.2604116430652006_dp, &
+         & 22.2592901617191004_dp, 22.2575785192574997_dp, 22.2550850021790012_dp, 22.2515899441343983_dp, &
+         & 22.2468481945093011_dp, 22.2405926734928983_dp, 22.2325389486300011_dp, 22.2223907395795983_dp, &
+         & 22.2098462319533994_dp, 22.1946050579323995_dp, 22.1763757807433990_dp, 22.1548837016141000_dp, &
+         & 22.1298787910130983_dp, 22.1011435304613997_dp, 22.0685004371893001_dp, 22.0318190324193992_dp, &
+         & 21.9910220071444016_dp, 21.9460903398784986_dp, 21.8970671324644997_dp, 21.8440599558480990_dp, &
+         & 21.7872415399490009_dp, 21.7268487005975004_dp, 21.6631794697079982_dp, 21.5965884776064989_dp, &
+         & 21.5274807217926991_dp, 21.4563039363647015_dp, 21.3835398429993013_dp, 21.3096946113839998_dp, &
+         & 21.2352888804601996_dp, 21.1608476909302006_dp, 21.0868906563649006_dp, 21.0139226594802011_dp, &
+         & 20.9424253077533997_dp, 20.8728493249438998_dp, 20.8056079981080018_dp, 20.7410717479372018_dp, &
+         & 20.6795638466508009_dp, 20.6213572735494992_dp, 20.5666726735640992_dp, 20.5156773675813007_dp, &
+         & 20.4684853532498998_dp, 20.4251582294053016_dp, 20.3857069743327983_dp, 20.3500945062407013_dp, &
+         & 20.3182389523196996_dp, 20.2900175498451993_dp, 20.2652710985163012_dp, 20.2438088775428007_dp, &
+         & 20.2254139341103993_dp, 20.2098486421865005_dp, 20.1968604228023985_dp, 20.1861875096825010_dp, &
+         & 20.1775646381972003_dp, 20.1707285319155005_dp, 20.1654230603079014_dp, 20.1614039440682014_dp, &
+         & 20.1584428915751985_dp, 20.1563310614846003_dp, 20.1548817622998016_dp, 20.1539323197389990_dp, &
+         & 20.1533450661858993_dp, 20.1530074326509983_dp, 20.1528311514091989_dp, 20.1527506056590013_dp, &
+         & 20.1527203899415994_dp, 20.1527121705126007_dp, 20.1527109573412986_dp, 20.1527108502414016_dp, &
+         & 20.1527087516708008_dp, 20.1526945335393997_dp, 20.1526422660807008_dp, 20.1525029394305015_dp, &
+         & 20.1521980224278998_dp, 20.1516140544224989_dp, 20.1505984807573988_dp, 20.1489569137548017_dp, &
+         & 20.1464519678422000_dp, 20.1428037797983990_dp, 20.1376922827058991_dp, 20.1307612547877994_dp, &
+         & 20.1216241117978996_dp, 20.1098713543359011_dp, 20.0950795202650987_dp, 20.0768214289595015_dp, &
+         & 20.0546774408480992_dp, 20.0282473959230991_dp, 19.9971628425112016_dp, 19.9610991271256992_dp, &
+         & 19.9197868922356989_dp, 19.8730225255791986_dp, 19.8206771256055987_dp, 19.7627035945833995_dp, &
+         & 19.6991415434853003_dp, 19.6301197879022986_dp, 19.5558563260019014_dp, 19.4766558094382987_dp, &
+         & 19.3929046359703001_dp, 19.3050638978733993_dp, 19.2136605039689989_dp, 19.1192768490867984_dp, &
+         & 19.0225394309048994_dp, 18.9241068124530010_dp, 18.8246573047391017_dp, 18.7248767056216003_dp, &
+         & 18.6254463860914008_dp, 18.5270319700030015_dp, 18.4302728119468995_dp, 18.3357724416087997_dp, &
+         & 18.2440901106525999_dp, 18.1557335478638997_dp, 18.0711529980535985_dp, 17.9907365890889999_dp, &
+         & 17.9148070397616017_dp, 17.8436196905232016_dp, 17.7773618114512999_dp, 17.7161531190050994_dp, &
+         & 17.6600474163059999_dp, 17.6090352609143999_dp, 17.5630475584989014_dp, 17.5219599788361009_dp, &
+         & 17.4855980904018011_dp, 17.4537431096836002_dp, 17.4261381599147995_dp, 17.4024949304322014_dp, &
+         & 17.3825006221081999_dp, 17.3658250567047006_dp, 17.3521278193763990_dp, 17.3410652950941007_dp, &
+         & 17.3322974528253013_dp, 17.3254942272861996_dp, 17.3203413482556989_dp, 17.3165454728577011_dp, &
+         & 17.3138384875750013_dp, 17.3119808643109998_dp, 17.3107639783540996_dp, 17.3100113249309011_dp, &
+         & 17.3095786040383999_dp, 17.3093526789584011_dp, 17.3092494506043018_dp, 17.3092107258713988_dp, &
+         & 17.3092001917849991_dp, 17.3091986369751005_dp, 17.3091985122601990_dp, 17.3091962106359993_dp, &
+         & 17.3091806167883000_dp, 17.3091232920696996_dp, 17.3089704847647994_dp, 17.3086360664080985_dp, &
+         & 17.3079956025747990_dp, 17.3068817909369983_dp, 17.3050814687480994_dp, 17.3023343565830992_dp, &
+         & 17.2983336648305013_dp, 17.2927286435452991_dp, 17.2851291043203013_dp, 17.2751118844987985_dp, &
+         & 17.2622291595756998_dp, 17.2460184399720013_dp, 17.2260140154866015_dp, 17.2017595375671988_dp, &
+         & 17.1728213600876991_dp, 17.1388021982874008_dp, 17.0993546180731002_dp, 17.0541938390849985_dp, &
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+         & 3.1377776501528800e-06_dp, 2.4192930609956399e-06_dp, 1.5354689892887999e-06_dp, 7.2529909544982697e-07_dp, &
+         & 2.9509915933090301e-07_dp, 0.0000000000000000e+00_dp, 4.2010629286437501e-07_dp, 4.4729760517725502e-07_dp, &
+         & -3.5527136788005001e-15_dp, 4.1430068975500902e-07_dp, 5.0032453202675200e-07_dp, 4.2187916449165599e-07_dp, &
+         & -3.5527136788005001e-15_dp, 3.3255427922540500e-07_dp, 4.1869022737728301e-07_dp, 4.0897642961113000e-07_dp, &
+         &  3.5100483231076401e-07_dp, 2.8201467117128200e-07_dp, 0.0000000000000000e+00_dp, -3.5527136788005001e-15_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & -3.5527136788005001e-15_dp, 0.0000000000000000e+00_dp, -3.5527136788005001e-15_dp, 0.0000000000000000e+00_dp, &
+         & 0.0000000000000000e+00_dp, 3.5527136788005001e-15_dp, 0.0000000000000000e+00_dp, 3.5527136788005001e-15_dp, &
+         & 3.5527136788005001e-15_dp, 3.5527136788005001e-15_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, &
+         & 0.0000000000000000_dp &
+         &]
+      case (24)
+         out = [&
+         & 24.0000000000000000_dp, 23.9999999841999987_dp, 23.9999994956340998_dp, 23.9999961855226012_dp, &
+         & 23.9999840171266996_dp, 23.9999515800687995_dp, 23.9998805894060006_dp, 23.9997446224701001_dp, &
+         & 23.9995081393889009_dp, 23.9991258246931984_dp, 23.9985422777671999_dp, 23.9976920694240015_dp, &
+         & 23.9965001709682006_dp, 23.9948827511150000_dp, 23.9927483254609015_dp, 23.9899992332142986_dp, &
+         & 23.9865334068988005_dp, 23.9822463929941989_dp, 23.9770335751139996_dp, 23.9707925464037999_dp, &
+         & 23.9634255743223008_dp, 23.9548420987216986_dp, 23.9449612030011991_dp, 23.9337139978900986_dp, &
+         & 23.9210458579883998_dp, 23.9069184524989993_dp, 23.8913115136762002_dp, 23.8742242895668006_dp, &
+         & 23.8556766318843003_dp, 23.8357096756567017_dp, 23.8143860748981986_dp, 23.7917897681705988_dp, &
+         & 23.7680252595395984_dp, 23.7432164138866000_dp, 23.7175047803699997_dp, 23.6910474733690002_dp, &
+         & 23.6640146556728013_dp, 23.6365866830666995_dp, 23.6089509819553989_dp, 23.5812987414525992_dp, &
+         & 23.5538215079063988_dp, 23.5267077727888996_dp, 23.5001396442124992_dp, 23.4742896882419991_dp, &
+         & 23.4493180190704997_dp, 23.4253697075652987_dp, 23.4025725663150013_dp, 23.3810353567522000_dp, &
+         & 23.3608464507965010_dp, 23.3420729662664002_dp, 23.3247603824661986_dp, 23.3089326301547999_dp, &
+         & 23.2945926387712987_dp, 23.2817233134452017_dp, 23.2702889050400010_dp, 23.2602367283195015_dp, &
+         & 23.2514991763296983_dp, 23.2439959733000983_dp, 23.2376366038639013_dp, 23.2323228532377009_dp, &
+         & 23.2279513912989017_dp, 23.2244163333118010_dp, 23.2216117114708993_dp, 23.2194337944724012_dp, &
+         & 23.2177831969937003_dp, 23.2165667271834018_dp, 23.2156989279374990_dp, 23.2151032766566985_dp, &
+         & 23.2147130181412003_dp, 23.2144716159791997_dp, 23.2143328189335989_dp, 23.2142603500811013_dp, &
+         & 23.2142272374851011_dp, 23.2142148156489014_dp, 23.2142114365932990_dp, 23.2142109378511989_dp, &
+         & 23.2142108724268006_dp, 23.2142093481155989_dp, 23.2141990206704989_dp, 23.2141610557040003_dp, &
+         & 23.2140598536141987_dp, 23.2138383680707001_dp, 23.2134141689959996_dp, 23.2126763963781997_dp, &
+         & 23.2114837264976011_dp, 23.2096634440357015_dp, 23.2070116828034010_dp, 23.2032948653146995_dp, &
+         & 23.1982523380704997_dp, 23.1916001661675004_dp, 23.1830360186545015_dp, 23.1722450457519997_dp, &
+         & 23.1589066212067998_dp, 23.1427017979284990_dp, 23.1233213025270992_dp, 23.1004738740187001_dp, &
+         & 23.0738947332711000_dp, 23.0433539524215014_dp, 23.0086644778239986_dp, 22.9696895473148004_dp, &
+         & 22.9263492350933014_dp, 22.8786258586263003_dp, 22.8265679955351999_dp, 22.7702928879132998_dp, &
+         & 22.7099870591522013_dp, 22.6459050341154011_dp, 22.5783661345660995_dp, 22.5077494124941992_dp, &
+         & 22.4344868765257992_dp, 22.3590552519918013_dp, 22.2819665849449997_dp, 22.2037580477355014_dp, &
+         & 22.1249813249070009_dp, 22.0461919528198997_dp, 21.9679389574539989_dp, 21.8907550877410984_dp, &
+         & 21.8151478833732995_dp, 21.7415917533915000_dp, 21.6705211812111003_dp, 21.6023251177741997_dp, &
+         & 21.5373425800504990_dp, 21.4758594381610983_dp, 21.4181063504921987_dp, 21.3642577907960991_dp, &
+         & 21.3144321024049006_dp, 21.2686925101289006_dp, 21.2270490181916998_dp, 21.1894611210487014_dp, &
+         & 21.1558412519461001_dp, 21.1260588908851012_dp, 21.0999452488984005_dp, 21.0772984392386000_dp, &
+         & 21.0578890384786988_dp, 21.0414659321349014_dp, 21.0277623308861017_dp, 21.0165018355700006_dp, &
+         & 21.0074044227212013_dp, 21.0001922183489000_dp, 20.9945949267399996_dp, 20.9903547840317017_dp, &
+         & 20.9872309136311017_dp, 20.9850029725674005_dp, 20.9834739945282003_dp, 20.9824723563483992_dp, &
+         & 20.9818528194585987_dp, 20.9814966253770017_dp, 20.9813106536151999_dp, 20.9812256801311001_dp, &
+         & 20.9811938034089991_dp, 20.9811851321455016_dp, 20.9811838522843992_dp, 20.9811837392969984_dp, &
+         & 20.9811815253648994_dp, 20.9811665256418003_dp, 20.9811113849671997_dp, 20.9809643993622998_dp, &
+         & 20.9806427208429014_dp, 20.9800266522149990_dp, 20.9789552543173983_dp, 20.9772234578773009_dp, &
+         & 20.9745808372461013_dp, 20.9707321636648985_dp, 20.9653398110089988_dp, 20.9580280368802008_dp, &
+         & 20.9483891062936003_dp, 20.9359911643649994_dp, 20.9203876992832996_dp, 20.9011283692077008_dp, &
+         & 20.8777708992437994_dp, 20.8498936908918004_dp, 20.8171087306910003_dp, 20.7790743420919988_dp, &
+         & 20.7355072998823999_dp, 20.6861938243749997_dp, 20.6309989965672997_dp, 20.5698741873302993_dp, &
+         & 20.5028621726086016_dp, 20.4300997089096015_dp, 20.3518174621996017_dp, 20.2683373093199002_dp, &
+         & 20.1800671532262008_dp, 20.0874935008450990_dp, 19.9911721360888990_dp, 19.8917172749934004_dp, &
+         & 19.7897896138490985_dp, 19.6860836777875008_dp, 19.5813148531030983_dp, 19.4762064497829996_dp, &
+         & 19.3714770989884997_dp, 19.2678287492438010_dp, 19.1659354875185990_dp, 19.0664333771523999_dp, &
+         & 18.9699114716915993_dp, 18.8769041298175999_dp, 18.7878847200863994_dp, 18.7032607652929990_dp, &
+         & 18.6233705366632982_dp, 18.5484810706307996_dp, 18.4787875486448989_dp, 18.4144139555316997_dp, &
+         & 18.3554149153007984_dp, 18.3017785944557012_dp, 18.2534305601445013_dp, 18.2102384815850016_dp, &
+         & 18.1720175656781997_dp, 18.1385366195382005_dp, 18.1095246323422003_dp, 18.0846777657450986_dp, &
+         & 18.0636666360673992_dp, 18.0461437631538999_dp, 18.0317510512498984_dp, 18.0201271577927002_dp, &
+         & 18.0109145981777985_dp, 18.0037664298232016_dp, 17.9983523585991989_dp, 17.9943641160139016_dp, &
+         & 17.9915199671774992_dp, 17.9895682277904996_dp, 17.9882896929812013_dp, 17.9874989110217989_dp, &
+         & 17.9870442696064998_dp, 17.9868068999218984_dp, 17.9866984424069010_dp, 17.9866577560309011_dp, &
+         & 17.9866466883295999_dp, 17.9866450547593999_dp, 17.9866449237268000_dp, 17.9866425055116004_dp, &
+         & 17.9866261217423009_dp, 17.9865658931888994_dp, 17.9864053453316011_dp, 17.9860539869910987_dp, &
+         & 17.9853810811600994_dp, 17.9842108529228000_dp, 17.9823193473320018_dp, 17.9794331131760998_dp, &
+         & 17.9752298463383013_dp, 17.9693410783216017_dp, 17.9613569408803002_dp, 17.9508329761836016_dp, &
+         & 17.9372988937506008_dp, 17.9202691015202014_dp, 17.8992547609079011_dp, 17.8737770376917986_dp, &
+         & 17.8433811463132983_dp, 17.8076507197774987_dp, 17.7662219864086985_dp, 17.7187972039032005_dp, &
+         & 17.6651567954863005_dp, 17.6051696564889006_dp, 17.5388011546131004_dp, 17.4661184337133015_dp, &
+         & 17.3872927467444995_dp, 17.3025986832923984_dp, 17.2124103123171004_dp, 17.1171944196718009_dp, &
+         & 17.0175011683252002_dp, 16.9139526317935989_dp, 16.8072297345709991_dp, 16.6980581687090996_dp, &
+         & 16.5871938420722991_dp, 16.4754083585503999_dp, 16.3634749478162007_dp, 16.2521551692430002_dp, &
+         & 16.1421866268149010_dp, 16.0342718594213984_dp, 15.9290685171615003_dp, 15.8271808967860004_dp, &
+         & 15.7291528825751001_dp, 15.6354623168884999_dp, 15.5465168031622998_dp, 15.4626509216389998_dp, &
+         & 15.3841248151693009_dp, 15.3111240808529008_dp, 15.2437608851010005_dp, 15.1820762063402999_dp, &
+         & 15.1260431014614998_dp, 15.0755708886772002_dp, 15.0305101393638996_dp, 14.9906583730021996_dp, &
+         & 14.9557663507554999_dp, 14.9255448631049994_dp, 14.8996719043205008_dp, 14.8778001210619006_dp, &
+         & 14.8595644143341996_dp, 14.8445895641948997_dp, 14.8324977363001995_dp, 14.8229157201401005_dp, &
+         & 14.8154817423236995_dp, 14.8098516961428004_dp, 14.8057046322195003_dp, 14.8027473653067005_dp, &
+         & 14.8007180697018992_dp, 14.7993887601347005_dp, 14.7985665856881994_dp, 14.7980939000652008_dp, &
+         & 14.7978471106514995_dp, 14.7977343494066993_dp, 14.7976920485891004_dp, 14.7976805417238992_dp, &
+         & 14.7976788433341007_dp, 14.7976787123379001_dp, 14.7976763600671006_dp, 14.7976604230816999_dp, &
+         & 14.7976018369699993_dp, 14.7974456673867003_dp, 14.7971038914381001_dp, 14.7964493395112999_dp, &
+         & 14.7953110366212996_dp, 14.7934711517030006_dp, 14.7906637278809008_dp, 14.7865753261470996_dp, &
+         & 14.7808476683708996_dp, 14.7730823124460002_dp, 14.7628473321891995_dp, 14.7496859075037996_dp, &
+         & 14.7331266572813995_dp, 14.7126954706677004_dp, 14.6879285149151002_dp, 14.6583860245356998_dp, &
+         & 14.6236664121296993_dp, 14.5834201918295001_dp, 14.5373631773131002_dp, 14.4852884124544996_dp, &
+         & 14.4270763170351000_dp, 14.3627025835906998_dp, 14.2922434431739998_dp, 14.2158780239942999_dp, &
+         & 14.1338876519970000_dp, 14.0466520793215004_dp, 13.9546427670788997_dp, 13.8584134843436999_dp, &
+         & 13.7585886069600996_dp, 13.6558495995057996_dp, 13.5509202344226996_dp, 13.4445511386491994_dp, &
+         & 13.3375042574567999_dp, 13.2305377882598005_dp, 13.1243920681513995_dp, 13.0197768053039002_dp, &
+         & 12.9173599359767994_dp, 12.8177582765755993_dp, 12.7215300343073991_dp, 12.6291691489236992_dp, &
+         & 12.5411013674107004_dp, 12.4576819056266999_dp, 12.3791945251802993_dp, 12.3058518472548997_dp, &
+         & 12.2377967331752995_dp, 12.1751045792090995_dp, 12.1177863955718994_dp, 12.0657925627268998_dp, &
+         & 12.0190171787103992_dp, 11.9773029272895997_dp, 11.9404464071555996_dp, 11.9082038667321992_dp, &
+         & 11.8802972878053001_dp, 11.8564207547610003_dp, 11.8362470357700005_dp, 11.8194342890108999_dp, &
+         & 11.8056327923900000_dp, 11.7944915806933004_dp, 11.7856648612689998_dp, 11.7788180697076008_dp, &
+         & 11.7736334219982997_dp, 11.7698148204634006_dp, 11.7670919782710008_dp, 11.7652236418767000_dp, &
+         & 11.7639998122501996_dp, 11.7632428935202000_dp, 11.7628077305593006_dp, 11.7625805334175002_dp, &
+         & 11.7624767245140998_dp, 11.7624377821049002_dp, 11.7624271888153995_dp, 11.7624256252676993_dp, &
+         & 11.7624255068806001_dp, 11.7624234096645992_dp, 11.7624092007157994_dp, 11.7623569670881007_dp, &
+         & 11.7622177311922993_dp, 11.7619130157131995_dp, 11.7613294447992995_dp, 11.7603145965669995_dp, &
+         & 11.7586742957091008_dp, 11.7561715045472006_dp, 11.7525269355608000_dp, 11.7474214673136998_dp, &
+         & 11.7405003977843005_dp, 11.7313795136340993_dp, 11.7196528908080992_dp, 11.7049022718275992_dp, &
+         & 11.6867077902759000_dp, 11.6646597366967999_dp, 11.6383709872420003_dp, 11.6074896528678995_dp, &
+         & 11.5717114593121000_dp, 11.5307913430488007_dp, 11.4845537515851994_dp, 11.4329011715951001_dp, &
+         & 11.3758204765274993_dp, 11.3133867841275997_dp, 11.2457646378218996_dp, 11.1732064648545002_dp, &
+         & 11.0960484067079008_dp, 11.0147037508810008_dp, 10.9296543053959994_dp, 10.8414401387562993_dp, &
+         & 10.7506481527312001_dp, 10.6578999623567992_dp, 10.5638395308374005_dp, 10.4691209544862005_dp, &
+         & 10.3743967247128008_dp, 10.2803067209671006_dp, 10.1874681195741008_dp, 10.0964663447325993_dp, &
+         & 10.0078471422459998_dp, 9.9221098232691602_dp, 9.8397017016417401_dp, 9.7610137304819808_dp, &
+         & 9.6863773281759507_dp, 9.6160623684941395_dp, 9.5502762936079897_dp, 9.4891642929289208_dp, &
+         & 9.4328104763763605_dp, 9.3812399594006504_dp, 9.3344217698308807_dp, 9.2922724835454797_dp, &
+         & 9.2546604963769692_dp, 9.2214108422273906_dp, 9.1923104704656105_dp, 9.1671138977576003_dp, &
+         & 9.1455491493789598_dp, 9.1273239021688095_dp, 9.1121317356267095_dp, 9.0996583898390497_dp, &
+         & 9.0895879200381504_dp, 9.0816086290582394_dp, 9.0754186523120506_dp, 9.0707310666874807_dp, &
+         & 9.0672783962614307_dp, 9.0648163949002196_dp, 9.0631269991532992_dp, 9.0620203643130104_dp, &
+         & 9.0613359215467799_dp, 9.0609424235559608_dp, 9.0607369788453003_dp, 9.0606431087073407_dp, &
+         & 9.0606078946560409_dp, 9.0605983155687699_dp, 9.0605969017151402_dp, 9.0605967955766999_dp, &
+         & 9.0605949274197197_dp, 9.0605822703782994_dp, 9.0605357417100496_dp, 9.0604117130172508_dp, &
+         & 9.0601402774996505_dp, 9.0596204392789392_dp, 9.0587164151875292_dp, 9.0572552153779409_dp, &
+         & 9.0550256413249208_dp, 9.0517788078467696_dp, 9.0472302590463904_dp, 9.0410637059347199_dp, &
+         & 9.0329363655405093_dp, 9.0224858276011304_dp, 9.0093383162529097_dp, 8.9931181521734800_dp, &
+         & 8.9734581580241493_dp, 8.9500106903620793_dp, 8.9224589287063107_dp, 8.8905280117364498_dp, &
+         & 8.8539955860909991_dp, 8.8127013286007294_dp, 8.7665550205021798_dp, 8.7155427931192104_dp, &
+         & 8.6597312279007905_dp, 8.5992690772640401_dp, 8.5343864729215504_dp, 8.4653916009146997_dp, &
+         & 8.3926649423497999_dp, 8.3166512998712694_dp, 8.2378499449343003_dp, 8.1568033210530597_dp, &
+         & 8.0740848131018907_dp, 7.9902861320355099_dp, 7.9060048599631401_dp, 7.8218326495096600_dp, &
+         & 7.7383444785777300_dp, 7.6560892397861204_dp, 7.5755818116565798_dp, 7.4972966361622202_dp, &
+         & 7.4216627310178600_dp, 7.3490600041176704_dp, 7.2798167121788300_dp, 7.2142079091827700_dp, &
+         & 7.1524547520439699_dp, 7.0947245602379301_dp, 7.0411315543604003_dp, 6.9917382206971599_dp, &
+         & 6.9465572630364001_dp, 6.9055541096445001_dp, 6.8686499441953899_dp, 6.8357252263639596_dp, &
+         & 6.8066236622886898_dp, 6.7811565781570202_dp, 6.7591076422567697_dp, 6.7402378721530196_dp, &
+         & 6.7242908542952202_dp, 6.7109980935298301_dp, 6.7000844000976700_dp, 6.6912732123796399_dp, &
+         & 6.6842917457788600_dp, 6.6788758526773897_dp, 6.6747744763782197_dp, 6.6717535842222802_dp, &
+         & 6.6695994723036396_dp, 6.6681213467092597_dp, 6.6671531039004597_dp, 6.6665542552304098_dp, &
+         & 6.6662099667587196_dp, 6.6660302142613501_dp, 6.6659480832012799_dp, 6.6659172728984801_dp, &
+         & 6.6659088917390097_dp, 6.6659076546970697_dp, 6.6659075621143202_dp, 6.6659059363148900_dp, &
+         & 6.6658949212817902_dp, 6.6658544288146402_dp, 6.6657464904546098_dp, 6.6655102684235201_dp, &
+         & 6.6650578689566098_dp, 6.6642711236523002_dp, 6.6629994834907098_dp, 6.6610591459069601_dp, &
+         & 6.6582335073588998_dp, 6.6542750016207997_dp, 6.6489083469597903_dp, 6.6418351829990696_dp, &
+         & 6.6327400304745803_dp, 6.6212974549696204_dp, 6.6071802606751904_dp, 6.5900684848779800_dp, &
+         & 6.5696589117890003_dp, 6.5456747797985297_dp, 6.5178753239004097_dp, 6.4860647792086903_dp, &
+         & 6.4501004755441196_dp, 6.4098996786691398_dp, 6.3654448803916601_dp, 6.3167873045787699_dp, &
+         & 6.2640484741945102_dp, 6.2074197695334599_dp, 6.1471599933026297_dp, 6.0835910383444398_dp, &
+         & 6.0170918244538898_dp, 5.9480907297104704_dp, 5.8770567884475398_dp, 5.8044899627419397_dp, &
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+         & 0.0857709558861437_dp, 0.0840167776985368_dp, 0.0824129984288753_dp, 0.0809571078431119_dp, &
+         & 0.0796452175229412_dp, 0.0784722365612609_dp, 0.0774320427700381_dp, 0.0765176475980844_dp, &
+         & 0.0757213541067649_dp, 0.0750349087332332_dp, 0.0744496470369924_dp, 0.0739566350168630_dp, &
+         & 0.0735468060138480_dp, 0.0732110942409037_dp, 0.0729405640832539_dp, 0.0727265347180612_dp, &
+         & 0.0725606978783020_dp, 0.0724352268030692_dp, 0.0723428737267078_dp, 0.0722770522469567_dp, &
+         & 0.0722319021724900_dp, 0.0722023337292796_dp, 0.0721840486654912_dp, 0.0721735372488652_dp, &
+         & 0.0721680495363834_dp, 0.0721655421879568_dp, 0.0721646016081863_dp, 0.0721643457493570_dp, &
+         & 0.0721643079878511_dp, 0.0721643050288350_dp, 0.0721642508884806_dp, 0.0721638841226131_dp, &
+         & 0.0721625358980518_dp, 0.0721589420802999_dp, 0.0721510773592087_dp, 0.0721360164307576_dp, &
+         & 0.0721098284038639_dp, 0.0720675097970229_dp, 0.0720029613372866_dp, 0.0718826035895752_dp, &
+         & 0.0717512807427561_dp, 0.0715734303479358_dp, 0.0713393567285721_dp, 0.0710389222061742_dp, &
+         & 0.0706618329794182_dp, 0.0701979669647024_dp, 0.0696377336477703_dp, 0.0689724529011499_dp, &
+         & 0.0681947368995282_dp, 0.0672988570305471_dp, 0.0662810763728992_dp, 0.0651399281846956_dp, &
+         & 0.0638764221232506_dp, 0.0624941626963533_dp, 0.0609993686691261_dp, 0.0594007876030389_dp, &
+         & 0.0577095060072068_dp, 0.0559386622301403_dp, 0.0541030756218284_dp, 0.0522188110450017_dp, &
+         & 0.0503027019615452_dp, 0.0483718576460888_dp, 0.0464431803584553_dp, 0.0445329165371895_dp, &
+         & 0.0426562624887481_dp, 0.0408270400659916_dp, 0.0390574520185147_dp, 0.0373579206713188_dp, &
+         & 0.0357370079324575_dp, 0.0342014098266645_dp, 0.0327560151283777_dp, 0.0314040153784667_dp, &
+         & 0.0301470526030307_dp, 0.0289853912613793_dp, 0.0279181020950787_dp, 0.0269432473463631_dp, &
+         & 0.0260580589788439_dp, 0.0252591038129779_dp, 0.0245424316812404_dp, 0.0239037046699799_dp, &
+         & 0.0233383071587348_dp, 0.0228414376538808_dp, 0.0224081843387900_dp, 0.0220335868475310_dp, &
+         & 0.0217126870501723_dp, 0.0214405716551589_dp, 0.0212124092338364_dp, 0.0210234838972632_dp, &
+         & 0.0208692273509961_dp, 0.0207452504641346_dp, 0.0206473748602178_dp, 0.0205716644159075_dp, &
+         & 0.0205144559846424_dp, 0.0204723881897095_dp, 0.0204424267907832_dp, 0.0204218849471722_dp, &
+         & 0.0204084366931667_dp, 0.0204001221042276_dp, 0.0203953429493211_dp, 0.0203928480631816_dp, &
+         & 0.0203917081892477_dp, 0.0203912805929178_dp, 0.0203911642772638_dp, 0.0203911471093505_dp, &
+         & 0.0203911457463555_dp, 0.0203911207676661_dp, 0.0203909515339227_dp, 0.0203903294207031_dp, &
+         & 0.0203886711560521_dp, 0.0203850423929630_dp, 0.0203780940597191_dp, 0.0203660145490048_dp, &
+         & 0.0203465007783308_dp, 0.0203167510938265_dp, 0.0202734828276938_dp, 0.0202129769718979_dp, &
+         & 0.0201311518045273_dp, 0.0200236663197408_dp, 0.0198860529145684_dp, 0.0197138769718954_dp, &
+         & 0.0195029188114120_dp, 0.0192493710982973_dp, 0.0189500424219062_dp, 0.0186025556677762_dp, &
+         & 0.0182055283283447_dp, 0.0177587213481019_dp, 0.0172631437355015_dp, 0.0167211021415135_dp, &
+         & 0.0161361878842925_dp, 0.0155131982844097_dp, 0.0148579942715727_dp, 0.0141773014906761_dp, &
+         & 0.0134784669565775_dp, 0.0127691870861426_dp, 0.0120572251929723_dp, 0.0113501369834133_dp, &
+         & 0.0106550212073522_dp, 0.0099783096132811_dp, 0.0093256061681295_dp, 0.0087015807056332_dp, &
+         & 0.0081099173757302_dp, 0.0075533140299910_dp, 0.0070335253913925_dp, 0.0065514407283374_dp, &
+         & 0.0061071858091850_dp, 0.0057002390364822_dp, 0.0053295526336612_dp, 0.0049936713067140_dp, &
+         & 0.0046908426399028_dp, 0.0044191153462343_dp, 0.0041764231864292_dp, 0.0039606537854304_dp, &
+         & 0.0037697026761272_dp, 0.0036015136922742_dp, 0.0034541073433871_dp, 0.0033255990690826_dp, &
+         & 0.0032142093375036_dp, 0.0031182674772445_dp, 0.0030362109701585_dp, 0.0029665817265254_dp, &
+         & 0.0029080206405290_dp, 0.0028592614950647_dp, 0.0028191250548630_dp, 0.0027865139603556_dp, &
+         & 0.0027604088138879_dp, 0.0027398656415016_dp, 0.0027240147208047_dp, 0.0027120605956092_dp, &
+         & 0.0027032829564178_dp, 0.0026970379597095_dp, 0.0026927594939288_dp, 0.0026899598811667_dp, &
+         & 0.0026882295306656_dp, 0.0026872351311980_dp, 0.0026867160753419_dp, 0.0026864789396122_dp, &
+         & 0.0026863899858860_dp, 0.0026863657886977_dp, 0.0026863622172577_dp, 0.0026863619311257_dp, &
+         & 0.0026863566545430_dp, 0.0026863209051591_dp, 0.0026861894898893_dp, 0.0026858392100806_dp, &
+         & 0.0026850727583856_dp, 0.0026836053986017_dp, 0.0026810551707470_dp, 0.0026769374114117_dp, &
+         & 0.0026706644218386_dp, 0.0026615511251933_dp, 0.0026488274943901_dp, 0.0026316583650043_dp, &
+         & 0.0026091709380189_dp, 0.0025804898039574_dp, 0.0025447786814823_dp, 0.0025012872912313_dp, &
+         & 0.0024494009472065_dp, 0.0023886896460112_dp, 0.0023189528021135_dp, 0.0022402554559342_dp, &
+         & 0.0021529518993901_dp, 0.0020576933024827_dp, 0.0019554170947842_dp, 0.0018473174730822_dp, &
+         & 0.0017347982915297_dp, 0.0016194114840786_dp, 0.0015027857778804_dp, 0.0013865515165428_dp, &
+         & 0.0012722677516237_dp, 0.0011613573423546_dp, 0.0010550547229045_dp, 0.0009543694427379_dp, &
+         & 0.0008600667901817_dp, 0.0007726650125015_dp, 0.0006924470855161_dp, 0.0006194838757168_dp, &
+         & 0.0005536650121378_dp, 0.0004947338347527_dp, 0.0004423232469755_dp, 0.0003959899417936_dp, &
+         & 0.0003552451306241_dp, 0.0003195805462823_dp, 0.0002884891440118_dp, 0.0002614805607735_dp, &
+         & 0.0002380918908109_dp, 0.0002179907915547_dp, 0.0002006051336956_dp, 0.0001855516741358_dp, &
+         & 0.0001728176547502_dp, 0.0001619319926682_dp, 0.0001526267518948_dp, 0.0001446886276852_dp, &
+         & 0.0001379376539852_dp, 0.0001323131441353_dp, 0.0001276647932578_dp, 0.0001237901175344_dp, &
+         & 0.0001205837143452_dp, 0.0001179555606754_dp, 0.0001158267418617_dp, 0.0001141268592768_dp, &
+         & 0.0001127921958854_dp, 0.0001117646754132_dp, 0.0001109914434672_dp, 0.0001104248191126_dp, &
+         & 0.0001100223843054_dp, 0.0001097470568077_dp, 0.0001095670803331_dp, 0.0001094559200077_dp, &
+         & 0.0001093920660615_dp, 0.0001093587438632_dp, 0.0001093435221975_dp, 0.0001093378125958_dp, &
+         & 0.0001093362594986_dp, 0.0001093360302704_dp, 0.0001093360117892_dp, 0.0001093356695741_dp, &
+         & 0.0001093333510340_dp, 0.0001093248280029_dp, 0.0001093021100296_dp, 0.0001092523989463_dp, &
+         & 0.0001091572219210_dp, 0.0001089917898192_dp, 0.0001087246319571_dp, 0.0001083175665322_dp, &
+         & 0.0001077260765925_dp, 0.0001069001654521_dp, 0.0001057857306890_dp, 0.0001043264428411_dp, &
+         & 1.0247960544518299e-04_dp, 1.0028471633205500e-04_dp, 9.7630790957481395e-05_dp, 9.4479753641962802e-05_dp, &
+         & 9.0819371141748206e-05_dp, 8.6655486736475495e-05_dp, 8.2015311988925505e-05_dp, 7.6947685826667098e-05_dp, &
+         & 7.1616664968132695e-05_dp, 6.6130540886888398e-05_dp, 6.0460902503223197e-05_dp, 5.4716917716746098e-05_dp, &
+         & 4.9036853912554100e-05_dp, 4.3607203377149497e-05_dp, 3.8414972934219798e-05_dp, 3.3512098038812603e-05_dp, &
+         & 2.9019302299815302e-05_dp, 2.4970074537833401e-05_dp, 2.1299086863990600e-05_dp, 1.8101830871586300e-05_dp, &
+         & 1.5378526001086401e-05_dp, 1.3040750186377200e-05_dp, 1.1044347104416400e-05_dp, 9.3297897691968501e-06_dp, &
+         & 7.8471532312107700e-06_dp, 6.5670248048377297e-06_dp, 5.4700408256280803e-06_dp, 4.5328506921293899e-06_dp, &
+         & 3.7759657267599799e-06_dp, 3.1745331483534798e-06_dp, 2.5776777512476201e-06_dp, 2.1123133571165900e-06_dp, &
+         & 1.7582966016504999e-06_dp, 1.4115015822824300e-06_dp, 1.0765485711772301e-06_dp, 7.7090131966883704e-07_dp, &
+         &  5.1407922185831001e-07_dp, -1.0658141036401500e-14_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -3.5527136788005001e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -3.5527136788005001e-15_dp, -3.5527136788005001e-15_dp, -7.1054273576010003e-15_dp, -3.5527136788005001e-15_dp, &
+         & -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, &
+         & -7.1054273576010003e-15_dp, -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp &
+         &]
+      case (25)
+         out = [&
+         & 25.0000000000000000_dp, 24.9999999832335007_dp, 24.9999994647798012_dp, 24.9999959521747002_dp, &
+         & 24.9999830393858993_dp, 24.9999486180123007_dp, 24.9998732845334999_dp, 24.9997289998587995_dp, &
+         & 24.9994780498853011_dp, 24.9990723467382985_dp, 24.9984531001169010_dp, 24.9975508770513990_dp, &
+         & 24.9962860567862002_dp, 24.9945696758417988_dp, 24.9923046470016992_dp, 24.9893873253964998_dp, &
+         & 24.9857093853552001_dp, 24.9811599635193993_dp, 24.9756280170202984_dp, 24.9690048403532998_dp, &
+         & 24.9611866808868008_dp, 24.9520773905742992_dp, 24.9415910501994986_dp, 24.9296545021821991_dp, &
+         & 24.9162097284623982_dp, 24.9012160112018996_dp, 24.8846518160716990_dp, 24.8665163409395014_dp, &
+         & 24.8468306771301997_dp, 24.8256385364704002_dp, 24.8030065053808997_dp, 24.7790237975537018_dp, &
+         & 24.7538014892767002_dp, 24.7274712360155000_dp, 24.7001834849306015_dp, 24.6721052148540991_dp, &
+         & 24.6434172519493018_dp, 24.6143112248192999_dp, 24.5849862362429015_dp, 24.5556453391536991_dp, &
+         & 24.5264919113329007_dp, 24.4977260262345986_dp, 24.4695409163647000_dp, 24.4421196209622984_dp, &
+         & 24.4156319018361998_dp, 24.3902315007430985_dp, 24.3660537993449005_dp, 24.3432139292673995_dp, &
+         & 24.3218053657381006_dp, 24.3018990242612993_dp, 24.2835428662212998_dp, 24.2667620064868998_dp, &
+         & 24.2515593042366007_dp, 24.2379164074454998_dp, 24.2257952118311017_dp, 24.2151396865932007_dp, &
+         & 24.2058780120263002_dp, 24.1979249680756006_dp, 24.1911845082235004_dp, 24.1855524497951997_dp, &
+         & 24.1809192099803987_dp, 24.1771725166538012_dp, 24.1742000245318991_dp, 24.1718917703737013_dp, &
+         & 24.1701424058083987_dp, 24.1688531529044006_dp, 24.1679334356572006_dp, 24.1673021499839003_dp, &
+         & 24.1668885453203011_dp, 24.1666327022421008_dp, 24.1664856023263006_dp, 24.1664087984018998_dp, &
+         & 24.1663737050241991_dp, 24.1663605401199995_dp, 24.1663569589311003_dp, 24.1663564303546003_dp, &
+         & 24.1663563610165006_dp, 24.1663547455218009_dp, 24.1663438002949000_dp, 24.1663035642896986_dp, &
+         & 24.1661963083876010_dp, 24.1659615739345988_dp, 24.1655120005056006_dp, 24.1647300982076985_dp, &
+         & 24.1634660937355008_dp, 24.1615369497347992_dp, 24.1587266245946992_dp, 24.1547876054353985_dp, &
+         & 24.1494437117368008_dp, 24.1423941317726012_dp, 24.1333186197491010_dp, 24.1218837491648017_dp, &
+         & 24.1077500880071014_dp, 24.0905801342521997_dp, 24.0700468255979985_dp, 24.0458424150167005_dp, &
+         & 24.0176874830224989_dp, 23.9853398382913987_dp, 23.9486030408523014_dp, 23.9073342680046004_dp, &
+         & 23.8614512350929004_dp, 23.8109378850349991_dp, 23.7558485762518004_dp, 23.6963105321563994_dp, &
+         & 23.6325243688295998_dp, 23.5647625906190008_dp, 23.4933660327039995_dp, 23.4187383286237001_dp, &
+         & 23.3413385805023985_dp, 23.2616725003425984_dp, 23.1802823630946015_dp, 23.0977361592766997_dp, &
+         & 23.0146163531209993_dp, 22.9315086418082004_dp, 22.8489910760916999_dp, 22.7676238488995999_dp, &
+         & 22.6879399940263013_dp, 22.6104371695068984_dp, 22.5355706362457013_dp, 22.4637474866911013_dp, &
+         & 22.3953221334183006_dp, 22.3305930340825007_dp, 22.2698006064338010_dp, 22.2131262730806007_dp, &
+         & 22.1606925680919993_dp, 22.1125642339800983_dp, 22.0687502360135994_dp, 22.0292066195524008_dp, &
+         & 21.9938401340068985_dp, 21.9625125434621999_dp, 21.9350455386891987_dp, 21.9112261582727008_dp, &
+         & 21.8908126182554987_dp, 21.8735404405618006_dp, 21.8591287612328991_dp, 21.8472866909873993_dp, &
+         & 21.8377195936967006_dp, 21.8301351439409004_dp, 21.8242490237225013_dp, 21.8197901214120016_dp, &
+         & 21.8165051036169011_dp, 21.8141622432091005_dp, 21.8125544042058017_dp, 21.8115011062560988_dp, &
+         & 21.8108496174832993_dp, 21.8104750534260994_dp, 21.8102794906448985_dp, 21.8101901348906999_dp, &
+         & 21.8101566142190997_dp, 21.8101474957606989_dp, 21.8101461498945000_dp, 21.8101460310801016_dp, &
+         & 21.8101437029709011_dp, 21.8101279296814994_dp, 21.8100699452935984_dp, 21.8099153793775997_dp, &
+         & 21.8095771114564982_dp, 21.8089292718454004_dp, 21.8078026230210007_dp, 21.8059815239171009_dp, &
+         & 21.8032026429808994_dp, 21.7991555442464993_dp, 21.7934852237176990_dp, 21.7857966206115989_dp, &
+         & 21.7756610693133013_dp, 21.7626245935303011_dp, 21.7462178751124995_dp, 21.7259676582030998_dp, &
+         & 21.7014092777069010_dp, 21.6720999334033984_dp, 21.6376322721296006_dp, 21.5976477956439012_dp, &
+         & 21.5518495864547006_dp, 21.5000138429643002_dp, 21.4419997423778987_dp, 21.3777572065386998_dp, &
+         & 21.3073322309818991_dp, 21.2308695466193988_dp, 21.1486125089037991_dp, 21.0609002407833010_dp, &
+         & 20.9681621816168011_dp, 20.8709103032937016_dp, 20.7697293382584007_dp, 20.6652654171351990_dp, &
+         & 20.5582135360432012_dp, 20.4493042697964000_dp, 20.3392901243358004_dp, 20.2289318882716991_dp, &
+         & 20.1189853064792992_dp, 20.0101883627058008_dp, 19.9032494242721008_dp, 19.7988364686255984_dp, &
+         & 19.6975675759615996_dp, 19.6000028320308992_dp, 19.5066377400350000_dp, 19.4178981918872999_dp, &
+         & 19.3341370006412987_dp, 19.2556319518529016_dp, 19.1825852958358993_dp, 19.1151245774231988_dp, &
+         & 19.0533046852658998_dp, 18.9971109973864998_dp, 18.9464635009727012_dp, 18.9012217691204008_dp, &
+         & 18.8611906824726994_dp, 18.8261267872038012_dp, 18.7957451811536984_dp, 18.7697268165954014_dp, &
+         & 18.7477261013636003_dp, 18.7293786707021006_dp, 18.7143091914611013_dp, 18.7021390496996993_dp, &
+         & 18.6924937639391011_dp, 18.6850099608589986_dp, 18.6793417495602014_dp, 18.6751663357756996_dp, &
+         & 18.6721887293529001_dp, 18.6701454172355987_dp, 18.6688068997920986_dp, 18.6679790199043012_dp, &
+         & 18.6675030505040986_dp, 18.6672545455848997_dp, 18.6671410002652998_dp, 18.6670984052742988_dp, &
+         & 18.6670868183831011_dp, 18.6670851081814995_dp, 18.6670849710022004_dp, 18.6670824393475989_dp, &
+         & 18.6670652870102991_dp, 18.6670022331204990_dp, 18.6668341539604015_dp, 18.6664663135823012_dp, &
+         & 18.6657618428085996_dp, 18.6645367232809996_dp, 18.6625564998680993_dp, 18.6595349062474014_dp, &
+         & 18.6551345443994983_dp, 18.6489697084315011_dp, 18.6406113858621012_dp, 18.6295944048390005_dp, &
+         & 18.6154266238573989_dp, 18.5975999824538007_dp, 18.5756031491862998_dp, 18.5489354203592001_dp, &
+         & 18.5171214439545011_dp, 18.4797262736464987_dp, 18.4363702037509007_dp, 18.3867428037413987_dp, &
+         & 18.3306155662657986_dp, 18.2678526098858995_dp, 18.1984189396468992_dp, 18.1223858650396998_dp, &
+         & 18.0399333027563991_dp, 17.9513488439235012_dp, 17.8570236314103994_dp, 17.7574452580832016_dp, &
+         & 17.6531880452036987_dp, 17.5449011757703985_dp, 17.4332952284737992_dp, 17.3191276790220989_dp, &
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+         &  6.1917612725892500e-07_dp, 3.8466065532816200e-07_dp, -1.0658141036401500e-14_dp, -7.1054273576010003e-15_dp, &
+         & -1.0658141036401500e-14_dp, -1.0658141036401500e-14_dp, -7.1054273576010003e-15_dp, -1.0658141036401500e-14_dp, &
+         & -7.1054273576010003e-15_dp, -1.0658141036401500e-14_dp, -3.5527136788005001e-15_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -3.5527136788005001e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp &
+         &]
+      case (26)
+         out = [&
+         & 26.0000000000000000_dp, 25.9999999822682000_dp, 25.9999994339645006_dp, 25.9999957191206015_dp, &
+         & 25.9999820628758016_dp, 25.9999456596841014_dp, 25.9998659888539017_dp, 25.9997133969015017_dp, &
+         & 25.9994479982151994_dp, 25.9990189359653989_dp, 25.9983640343455988_dp, 25.9974098614673004_dp, &
+         & 25.9960722099663002_dp, 25.9942569900597000_dp, 25.9918615178440007_dp, 25.9887761704773013_dp, &
+         & 25.9848863698842010_dp, 25.9800748480291013_dp, 25.9742241397847984_dp, 25.9672192440209990_dp, &
+         & 25.9589503896648992_dp, 25.9493158409983984_dp, 25.9382246751158014_dp, 25.9255994640705012_dp, &
+         & 25.9113787946219993_dp, 25.8955195596110990_dp, 25.8779989569298010_dp, 25.8588161350604011_dp, &
+         & 25.8379934285885007_dp, 25.8155771333617992_dp, 25.7916377794546001_dp, 25.7662698710472000_dp, &
+         & 25.7395910757728998_dp, 25.7117408617657013_dp, 25.6828785979949004_dp, 25.6531811516765984_dp, &
+         & 25.6228400345686005_dp, 25.5920581666815004_dp, 25.5610463402908010_dp, 25.5300194782176995_dp, &
+         & 25.4991927874971012_dp, 25.4687779124433007_dp, 25.4389791897642006_dp, 25.4099901030526993_dp, &
+         & 25.3819900252624002_dp, 25.3551413263507008_dp, 25.3295869099234991_dp, 25.3054482282168003_dp, &
+         & 25.2828238097923013_dp, 25.2617883194830988_dp, 25.2423921558447013_dp, 25.2246615779597008_dp, &
+         & 25.2085993410929987_dp, 25.1941858095087987_dp, 25.1813805047871995_dp, 25.1701240392300001_dp, &
+         & 25.1603403764559985_dp, 25.1519393550704997_dp, 25.1448194064428989_dp, 25.1388703941934999_dp, &
+         & 25.1339765011105989_dp, 25.1300190889718991_dp, 25.1268794582364983_dp, 25.1244414378524006_dp, &
+         & 25.1225937405083997_dp, 25.1212320254783990_dp, 25.1202606196612983_dp, 25.1195938572978008_dp, &
+         & 25.1191570099076991_dp, 25.1188867899255008_dp, 25.1187314239575983_dp, 25.1186503041884990_dp, &
+         & 25.1186132388154988_dp, 25.1185993341395992_dp, 25.1185955517142006_dp, 25.1185949934355008_dp, &
+         & 25.1185949202011010_dp, 25.1185932139275003_dp, 25.1185816536593016_dp, 25.1185391566904990_dp, &
+         & 25.1184258738365003_dp, 25.1181779492778006_dp, 25.1177031141877016_dp, 25.1168772784260987_dp, &
+         & 25.1155422571499010_dp, 25.1135047380256999_dp, 25.1105365606102993_dp, 25.1063763432858984_dp, &
+         & 25.1007324558739988_dp, 25.0932872987320010_dp, 25.0837028127887010_dp, 25.0716271104783992_dp, &
+         & 25.0567020855283999_dp, 25.0385718303070988_dp, 25.0168916628121991_dp, 24.9913375409342997_dp, &
+         & 24.9616156188540010_dp, 24.9274716791403002_dp, 24.8887001549045017_dp, 24.8451524409788007_dp, &
+         & 24.7967441846002998_dp, 24.7434612486543983_dp, 24.6853640587618983_dp, 24.6225900833773998_dp, &
+         & 24.5553542557908990_dp, 24.4839472277984989_dp, 24.4087314426707991_dp, 24.3301351223928002_dp, &
+         & 24.2486443710386013_dp, 24.1647936917486987_dp, 24.0791552892644987_dp, 23.9923275761606014_dp, &
+         & 23.9049233155182002_dp, 23.8175578167178017_dp, 23.7308375590368001_dp, 23.6453495571886982_dp, &
+         & 23.5616517124245988_dp, 23.4802643206237995_dp, 23.4016628417782009_dp, 23.3262719781039998_dp, &
+         & 23.2544610630512985_dp, 23.1865407309753984_dp, 23.1227608158624989_dp, 23.0633094149975015_dp, &
+         & 23.0083130471777011_dp, 22.9578378324953007_dp, 22.9118916196566005_dp, 22.8704269856850999_dp, &
+         & 22.8333450305740016_dp, 22.8004998854313001_dp, 22.7717038467363011_dp, 22.7467330416201996_dp, &
+         & 22.7253335200167008_dp, 22.7072276596627987_dp, 22.6921207600187991_dp, 22.6797076920569012_dp, &
+         & 22.6696794634524004_dp, 22.6617295539409014_dp, 22.6555598743440001_dp, 22.6508862058025997_dp, &
+         & 22.6474429836414011_dp, 22.6449873033541991_dp, 22.6433020444354014_dp, 22.6421980308575002_dp, &
+         & 22.6415151742179006_dp, 22.6411225759716004_dp, 22.6409175974918995_dp, 22.6408239395756006_dp, &
+         & 22.6407888050060002_dp, 22.6407792475275009_dp, 22.6407778368627994_dp, 22.6407777123279992_dp, &
+         & 22.6407752721288986_dp, 22.6407587394141991_dp, 22.6406979632968017_dp, 22.6405359556420009_dp, &
+         & 22.6401814015909011_dp, 22.6395023718379989_dp, 22.6383214822967993_dp, 22.6364127136260009_dp, &
+         & 22.6335000648812006_dp, 22.6292581720781989_dp, 22.6233149732623993_dp, 22.6152564463293011_dp, &
+         & 22.6046333841070002_dp, 22.5909701033865993_dp, 22.5737749117089983_dp, 22.5525520798201988_dp, &
+         & 22.5268149919026008_dp, 22.4961000741977983_dp, 22.4599810405902005_dp, 22.4180829468667007_dp, &
+         & 22.3700955195042006_dp, 22.3157852251361994_dp, 22.2550055770381014_dp, 22.1877052364353986_dp, &
+         & 22.1139335575167983_dp, 22.0338433405609990_dp, 21.9476906890396997_dp, 21.8558320028154007_dp, &
+         & 21.7587182684370006_dp, 21.6568869177269008_dp, 21.5509516089513014_dp, 21.4415903368944001_dp, &
+         & 21.3295323001302002_dp, 21.2155439510501012_dp, 21.1004146346583994_dp, 20.9849421939209009_dp, &
+         & 20.8699188886528013_dp, 20.7561179443359016_dp, 20.6442810161649994_dp, 20.5351068191240991_dp, &
+         & 20.4292411337254016_dp, 20.3272683475736997_dp, 20.2297046362858985_dp, 20.1369928274236010_dp, &
+         & 20.0494989335990006_dp, 19.9675102914621014_dp, 19.8912352060122011_dp, 19.8208039762806010_dp, &
+         & 19.7562711680416001_dp, 19.6976189989802997_dp, 19.6447617078482999_dp, 19.5975507876600012_dp, &
+         & 19.5557809706815995_dp, 19.5191968575823012_dp, 19.4875000835018994_dp, 19.4603569097311002_dp, &
+         & 19.4374061217579985_dp, 19.4182671037055989_dp, 19.4025479471068003_dp, 19.3898534401925993_dp, &
+         & 19.3797927740869014_dp, 19.3719867961702015_dp, 19.3660746398416990_dp, 19.3617195651503984_dp, &
+         & 19.3586138570471995_dp, 19.3564826476047003_dp, 19.3550865551988984_dp, 19.3542230665456998_dp, &
+         & 19.3537266253204017_dp, 19.3534674321701985_dp, 19.3533490032884004_dp, 19.3533045763011984_dp, &
+         & 19.3532924910621986_dp, 19.3532907073055007_dp, 19.3532905642261994_dp, 19.3532879236861994_dp, &
+         & 19.3532700336340007_dp, 19.3532042678275005_dp, 19.3530289597011986_dp, 19.3526452989478983_dp, &
+         & 19.3519105304185999_dp, 19.3506327233243987_dp, 19.3485673440926007_dp, 19.3454158262332996_dp, &
+         & 19.3408262847353996_dp, 19.3343964700552995_dp, 19.3256789969171017_dp, 19.3141888153952017_dp, &
+         & 19.2994128162130991_dp, 19.2808213799408001_dp, 19.2578815930541012_dp, 19.2300717662419984_dp, &
+         & 19.1968968068256984_dp, 19.1579039237101014_dp, 19.1126980866662990_dp, 19.0609566288129990_dp, &
+         & 19.0024423782126988_dp, 18.9370147364065993_dp, 18.8646381910789991_dp, 18.7853878563215986_dp, &
+         & 18.6994517726913010_dp, 18.6071298615885006_dp, 18.5088296013400999_dp, 18.4050586595162997_dp, &
+         & 18.2964148602607999_dp, 18.1835739718883005_dp, 18.0672758594776006_dp, 17.9483095586046986_dp, &
+         & 17.8274977970568003_dp, 17.7056814348662996_dp, 17.5837042248062012_dp, 17.4623982286170012_dp, &
+         & 17.3425701661907006_dp, 17.2249889270426984_dp, 17.1103744324638001_dp, 16.9993879978292988_dp, &
+         & 16.8926243036766017_dp, 16.7906050398825002_dp, 16.6937742408630996_dp, 16.6024952843769995_dp, &
+         & 16.5170494860553987_dp, 16.4376361894356009_dp, 16.3643742288893996_dp, 16.2973046306172016_dp, &
+         & 16.2363944135490001_dp, 16.1815413552529002_dp, 16.1325795950000987_dp, 16.0892859541873996_dp, &
+         & 16.0513868609812995_dp, 16.0185657695929002_dp, 15.9904709640464997_dp, 15.9667236315044008_dp, &
+         & 15.9469260816791998_dp, 15.9306699777807008_dp, 15.9175444323802004_dp, 15.9071438104344001_dp, &
+         & 15.8990750734388993_dp, 15.8929644951445006_dp, 15.8884635820253006_dp, 15.8852540418524004_dp, &
+         & 15.8830516618213995_dp, 15.8816089836087002_dp, 15.8807166956996006_dp, 15.8802037019938993_dp, &
+         & 15.8799358681852993_dp, 15.8798134915956997_dp, 15.8797675837324004_dp, 15.8797550956634996_dp, &
+         & 15.8797532524501008_dp, 15.8797531102836995_dp, 15.8797505574321001_dp, 15.8797332614830999_dp, &
+         & 15.8796696796832997_dp, 15.8795001934755007_dp, 15.8791292746519996_dp, 15.8784189115228003_dp, &
+         & 15.8771835552689993_dp, 15.8751868137987007_dp, 15.8721400824541004_dp, 15.8677032572474008_dp, &
+         & 15.8614876260940001_dp, 15.8530609758868994_dp, 15.8419548876345999_dp, 15.8276741183550005_dp, &
+         & 15.8097078880081998_dp, 15.7875428047262005_dp, 15.7606770755468997_dp, 15.7286355676514997_dp, &
+         & 15.6909852126255007_dp, 15.6473501899472005_dp, 15.5974262921057996_dp, 15.5409938680036994_dp, &
+         & 15.4779287675728003_dp, 15.4082107706573996_dp, 15.3319290763789002_dp, 15.2492845518445002_dp, &
+         & 15.1605885849388997_dp, 15.0662585464304009_dp, 14.9668100312731003_dp, 14.8628462062085003_dp, &
+         & 14.7550447287661992_dp, 14.6441428106247002_dp, 14.5309210672598006_dp, 14.4161868204911006_dp, &
+         & 14.3007574998981006_dp, 14.1854447268427997_dp, 14.0710395692030001_dp, 13.9582993374291995_dp, &
+         & 13.8479361664031000_dp, 13.7406075056511998_dp, 13.6369085335207991_dp, 13.5373664262569999_dp, &
+         & 13.4424363539073006_dp, 13.3524990412385005_dp, 13.2678597200620008_dp, 13.1887483043906997_dp, &
+         & 13.1153206359073007_dp, 13.0476606687991001_dp, 12.9857834855692005_dp, 12.9296390556147003_dp, &
+         & 12.8791166640833996_dp, 12.8340499487268005_dp, 12.7942224868985992_dp, 12.7593738737938995_dp, &
+         & 12.7292062270967996_dp, 12.7033910432434993_dp, 12.6815763175057992_dp, 12.6633938251769003_dp, &
+         & 12.6484664455686993_dp, 12.6364153956793004_dp, 12.6268672277307008_dp, 12.6194604357747000_dp, &
+         & 12.6138515126119994_dp, 12.6097203005158001_dp, 12.6067744885414008_dp, 12.6047531258996006_dp, &
+         & 12.6034290448183999_dp, 12.6026101168060993_dp, 12.6021393019933008_dp, 12.6018934905965008_dp, &
+         & 12.6017811765091992_dp, 12.6017390434831995_dp, 12.6017275822658998_dp, 12.6017258906137997_dp, &
+         & 12.6017257625269998_dp, 12.6017234934820994_dp, 12.6017081203661991_dp, 12.6016516071221005_dp, &
+         & 12.6015009632260995_dp, 12.6011712810387007_dp, 12.6005398936726998_dp, 12.5994418852825003_dp, &
+         & 12.5976671568393996_dp, 12.5949592170361999_dp, 12.5910158293362002_dp, 12.5854916014032998_dp, &
+         & 12.5780025512439000_dp, 12.5681326246468998_dp, 12.5554420708464995_dp, 12.5394775086930004_dp, &
+         & 12.5197834362147002_dp, 12.4959148560093993_dp, 12.4674506125749005_dp, 12.4340069718326003_dp, &
+         & 12.3952509247083995_dp, 12.3509126725389997_dp, 12.3007967579445996_dp, 12.2447913441253000_dp, &
+         & 12.1828752186483005_dp, 12.1151222013672992_dp, 12.0417027630213003_dp, 11.9628828009802994_dp, &
+         & 11.8790196592018003_dp, 11.7905556081115996_dp, 11.6980091058186009_dp, 11.6019642372252001_dp, &
+         & 11.5030587691543005_dp, 11.4019712693763005_dp, 11.2994077212823001_dp, 11.1960880322180998_dp, &
+         & 11.0927327908806994_dp, 10.9900505846709997_dp, 10.8887261455355997_dp, 10.7894095532698007_dp, &
+         & 10.6927066866090996_dp, 10.5991710717357996_dp, 10.5092972327799998_dp, 10.4235155991722994_dp, &
+         & 10.3421889724448004_dp, 10.2656105043657000_dp, 10.1940030940324995_dp, 10.1275200779982004_dp, &
+         & 10.0662470672026991_dp, 10.0102047776433007_dp, 9.9593527064385707_dp, 9.9135935177578798_dp, &
+         & 9.8727780199493598_dp, 9.8367106322029301_dp, 9.8051552531326394_dp, 9.7778414527441200_dp, &
+         & 9.7544709124809295_dp, 9.7347240355385196_dp, 9.7182666422950099_dp, 9.7047566549873494_dp, &
+         & 9.6938506634476305_dp, 9.6852102517415304_dp, 9.6785079558432798_dp, 9.6734327167936591_dp, &
+         & 9.6696946935796007_dp, 9.6670293062832293_dp, 9.6652003933938406_dp, 9.6640023875068408_dp, &
+         & 9.6632614403084300_dp, 9.6628354595925696_dp, 9.6626130564688797_dp, 9.6625114380053798_dp, &
+         & 9.6624733173080202_dp, 9.6624629475442791_dp, 9.6624614169885206_dp, 9.6624613020892198_dp, &
+         & 9.6624592797311006_dp, 9.6624455779551806_dp, 9.6623952087459202_dp, 9.6622609426844193_dp, &
+         & 9.6619671034615902_dp, 9.6614043614798693_dp, 9.6604257336927706_dp, 9.6588439714049201_dp, &
+         & 9.6564304883096703_dp, 9.6529159470033292_dp, 9.6479925827617894_dp, 9.6413182976404492_dp, &
+         & 9.6325225053536805_dp, 9.6212136478386299_dp, 9.6069882386572605_dp, 9.5894412182250903_dp, &
+         & 9.5681773341971592_dp, 9.5428231912325501_dp, 9.5130395527667595_dp, 9.4785334289041199_dp, &
+         & 9.4390694547728700_dp, 9.3944800578920002_dp, 9.3446739354713895_dp, 9.2896424156687303_dp, &
+         & 9.2294633610483796_dp, 9.1643023855283001_dp, 9.0944112925273508_dp, 9.0201237929676097_dp, &
+         & 8.9418487150083301_dp, 8.8600610580224295_dp, 8.7752913556043506_dp, 8.6881138824001294_dp, &
+         & 8.5991342585467407_dp, 8.5089769728416993_dp, 8.4182732700047396_dp, 8.3276497448203699_dp, &
+         & 8.2377178765032806_dp, 8.1490646386080492_dp, 8.0622442453418195_dp, 7.9777710480630297_dp, &
+         & 7.8961135724064704_dp, 7.8176896786905896_dp, 7.7428628269740898_dp, 7.6719394262639797_dp, &
+         & 7.6051672412366100_dp, 7.5427348190046901_dp, 7.4847718847806997_dp, 7.4313506414911599_dp, &
+         & 7.3824878969880903_dp, 7.3381479350459697_dp, 7.2982460432140401_dp, 7.2626526111667600_dp, &
+         & 7.2311977161052399_dp, 7.2036761153622102_dp, 7.1798525690773998_dp, 7.1594674164284600_dp, &
+         & 7.1422423267471604_dp, 7.1278861418529802_dp, 7.1161007186118201_dp, 7.1065866720820603_dp, &
+         & 7.0990489110004802_dp, 7.0932018503168797_dp, 7.0887741815298702_dp, 7.0855130820429100_dp, &
+         & 7.0831877506457701_dp, 7.0815921680724196_dp, 7.0805469994127996_dp, 7.0799005784529898_dp, &
+         & 7.0795289417871201_dp, 7.0793349114015101_dp, 7.0792462567326604_dp, 7.0792129992113502_dp, &
+         & 7.0792039523502703_dp, 7.0792026170522000_dp, 7.0792025171157702_dp, 7.0792007621819000_dp, &
+         & 7.0791888722446403_dp, 7.0791451635465403_dp, 7.0790286519669596_dp, 7.0787736680166802_dp, &
+         & 7.0782853386190396_dp, 7.0774361152186502_dp, 7.0760635055740497_dp, 7.0739691409146204_dp, &
+         & 7.0709192805119203_dp, 7.0666468214582503_dp, 7.0608548418745096_dp, 7.0532216604197400_dp, &
+         & 7.0434073438631399_dp, 7.0310615383381698_dp, 7.0158324403651999_dp, 6.9973766634224397_dp, &
+         & 6.9753696983143403_dp, 6.9495166150896397_dp, 6.9195626153797196_dp, 6.8853030211531197_dp, &
+         & 6.8465922826340897_dp, 6.8033516068234103_dp, 6.7555748492982097_dp, 6.7033323745099800_dp, &
+         & 6.6467726706621297_dp, 6.5861216000540797_dp, 6.5216792692304901_dp, 6.4538146096176101_dp, &
+         & 6.3829578627044796_dp, 6.3095912584786502_dp, 6.2342382562342999_dp, 6.1574517779282401_dp, &
+         & 6.0798019016018996_dp, 6.0018634929026096_dp, 5.9242042351723896_dp, 5.8473734740353303_dp, &
+         & 5.7718922245977096_dp, 5.6982446043242101_dp, 5.6268708601016897_dp, 5.5581620623646701_dp, &
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+         & 0.1659809913201580_dp, 0.1648655800327780_dp, 0.1639142366996750_dp, 0.1631125816506010_dp, &
+         & 0.1624459919873370_dp, 0.1618998182683530_dp, 0.1614595970889890_dp, 0.1611112570777390_dp, &
+         & 0.1608413148264310_dp, 0.1606370564217170_dp, 0.1604866996451550_dp, 0.1603795316386320_dp, &
+         & 0.1603060169421790_dp, 0.1602578713216120_dp, 0.1602280976958320_dp, 0.1602109816956800_dp, &
+         & 0.1602020458558400_dp, 0.1601979630549800_dp, 0.1601964314648360_dp, 0.1601960148360640_dp, &
+         & 0.1601959533425660_dp, 0.1601959485032970_dp, 0.1601958603571630_dp, 0.1601952631547410_dp, &
+         & 0.1601930677846610_dp, 0.1601872158047220_dp, 0.1601744092483590_dp, 0.1601498845349520_dp, &
+         & 0.1601072401524880_dp, 0.1600383270376890_dp, 0.1599332096831960_dp, 0.1597802048518490_dp, &
+         & 0.1595660032456370_dp, 0.1592758774234180_dp, 0.1588939765697570_dp, 0.1584037053220370_dp, &
+         & 0.1577881797816150_dp, 0.1570307491953710_dp, 0.1561155668507760_dp, 0.1550281888606440_dp, &
+         & 0.1537561752063650_dp, 0.1522896642021970_dp, 0.1506218899698270_dp, 0.1487496130133260_dp, &
+         & 0.1466734368267520_dp, 0.1443979886753690_dp, 0.1419319500081750_dp, 0.1392879308491470_dp, &
+         & 0.1364821922089940_dp, 0.1335342301543180_dp, 0.1304662437428130_dp, 0.1273025157634960_dp, &
+         & 0.1240687395134720_dp, 0.1207913263902540_dp, 0.1174967278996920_dp, 0.1142108020849160_dp, &
+         & 0.1109582489194520_dp, 0.1077621325602180_dp, 0.1046435012475760_dp, 0.1016211087388360_dp, &
+         & 0.0987112350148038_dp, 0.0959275989884283_dp, 0.0932813522745555_dp, 0.0907811407926964_dp, &
+         & 0.0884332199769240_dp, 0.0862416094747047_dp, 0.0842082741920329_dp, 0.0823333201330918_dp, &
+         & 0.0806151954477912_dp, 0.0790508892266288_dp, 0.0776361226961768_dp, 0.0763655294347529_dp, &
+         & 0.0752328229534811_dp, 0.0742309514117565_dp, 0.0733522403261411_dp, 0.0725885248783023_dp, &
+         & 0.0719312738361637_dp, 0.0713717071944906_dp, 0.0709009094476372_dp, 0.0705099399716005_dp, &
+         & 0.0701899413678362_dp, 0.0699322458697047_dp, 0.0697284791043202_dp, 0.0695706597112355_dp, &
+         & 0.0694512926190960_dp, 0.0693634532407543_dp, 0.0693008595222508_dp, 0.0692579287110711_dp, &
+         & 0.0692298159112354_dp, 0.0692124319586078_dp, 0.0692024388473378_dp, 0.0691972218139725_dp, &
+         & 0.0691948381702900_dp, 0.0691939439932732_dp, 0.0691937007563901_dp, 0.0691936648551703_dp, &
+         & 0.0691936620048921_dp, 0.0691936097699148_dp, 0.0691932558708572_dp, 0.0691919549094493_dp, &
+         & 0.0691884870928625_dp, 0.0691808982106075_dp, 0.0691663659325030_dp, 0.0691410983697303_dp, &
+         & 0.0691002705214530_dp, 0.0690380038266092_dp, 0.0689473934683917_dp, 0.0688205872284620_dp, &
+         & 0.0686489184427366_dp, 0.0684230938703863_dp, 0.0681334349903437_dp, 0.0677701683922187_dp, &
+         & 0.0673237576237966_dp, 0.0667852652929035_dp, 0.0661467306956922_dp, 0.0654015451404533_dp, &
+         & 0.0645448048844450_dp, 0.0635736206203461_dp, 0.0624873630768867_dp, 0.0612878267260335_dp, &
+         & 0.0599792978008189_dp, 0.0585685185741944_dp, 0.0570645466547788_dp, 0.0554785152689661_dp, &
+         & 0.0538233073819683_dp, 0.0521131623399604_dp, 0.0503632378952297_dp, 0.0485891526170512_dp, &
+         & 0.0468065336623482_dp, 0.0450305928151167_dp, 0.0432757499629020_dp, 0.0415553182836561_dp, &
+         & 0.0398812599619163_dp, 0.0382640158163632_dp, 0.0367124072866218_dp, 0.0352336051456525_dp, &
+         & 0.0338331562777121_dp, 0.0325150579584736_dp, 0.0312818682457490_dp, 0.0301348411990787_dp, &
+         & 0.0290740764909003_dp, 0.0280986743249443_dp, 0.0272068882201530_dp, 0.0263962699728175_dp, &
+         & 0.0256638028372080_dp, 0.0250060205652716_dp, 0.0244191113436614_dp, 0.0238990068132452_dp, &
+         & 0.0234414572308133_dp, 0.0230420944433014_dp, 0.0226964847134496_dp, 0.0224001735927040_dp, &
+         & 0.0221487250084920_dp, 0.0219377565452312_dp, 0.0217629725775588_dp, 0.0216201964905274_dp, &
+         & 0.0215054027291650_dp, 0.0214147488966923_dp, 0.0213446076063875_dp, 0.0212915973252343_dp, &
+         & 0.0212526110648668_dp, 0.0212248415072374_dp, 0.0212058010228766_dp, 0.0211933350589533_dp, &
+         & 0.0211856275424367_dp, 0.0211811972433154_dp, 0.0211788844476430_dp, 0.0211778277623722_dp, &
+         & 0.0211774313713633_dp, 0.0211773235441690_dp, 0.0211773076291237_dp, 0.0211773063540264_dp, &
+         & 0.0211772828405969_dp, 0.0211771235341018_dp, 0.0211765379134938_dp, 0.0211749769172194_dp, &
+         & 0.0211715609852057_dp, 0.0211650201019289_dp, 0.0211536486899817_dp, 0.0211352781594201_dp, &
+         & 0.0211072698410355_dp, 0.0210665308615816_dp, 0.0210095551795639_dp, 0.0209324914081748_dp, &
+         & 0.0208312381362070_dp, 0.0207015661705050_dp, 0.0205392654653380_dp, 0.0203403125333104_dp, &
+         & 0.0201010519816016_dp, 0.0198183836888113_dp, 0.0194899452926016_dp, 0.0191142783886882_dp, &
+         & 0.0186909664273855_dp, 0.0182207329556370_dp, 0.0177054906986953_dp, 0.0171483349657926_dp, &
+         & 0.0165534787801427_dp, 0.0159261315994677_dp, 0.0152723280140421_dp, 0.0145987168559110_dp, &
+         & 0.0139123242431261_dp, 0.0132203058643832_dp, 0.0125297041214303_dp, 0.0118472246105696_dp, &
+         & 0.0111790440125112_dp, 0.0105306580900049_dp, 0.0099067746219212_dp, 0.0093112522175858_dp, &
+         & 0.0087470825120981_dp, 0.0082164106031470_dp, 0.0077205868402821_dp, 0.0072602421044650_dp, &
+         & 0.0068353785095994_dp, 0.0064454679050456_dp, 0.0060895514698984_dp, 0.0057663351463830_dp, &
+         & 0.0054742773100465_dp, 0.0052116662483996_dp, 0.0049766861339613_dp, 0.0047674713789867_dp, &
+         & 0.0045821495925722_dp, 0.0044188735497421_dp, 0.0042758438080703_dp, 0.0041513242359983_dp, &
+         & 0.0040436517339515_dp, 0.0039512409083677_dp, 0.0038725852296046_dp, 0.0038062565027452_dp, &
+         & 0.0037509036934260_dp, 0.0037052514953970_dp, 0.0036680990501061_dp, 0.0036383193603697_dp, &
+         & 0.0036148597660457_dp, 0.0035967435229587_dp, 0.0035830722656236_dp, 0.0035730289816378_dp, &
+         & 0.0035658810412045_dp, 0.0035609827730809_dp, 0.0035577770669981_dp, 0.0035557955150516_dp, &
+         & 0.0035546566828764_dp, 0.0035540622152510_dp, 0.0035537906221670_dp, 0.0035536887420946_dp, &
+         & 0.0035536610286257_dp, 0.0035536569381804_dp, 0.0035536566073802_dp, 0.0035536504687279_dp, &
+         & 0.0035536088786934_dp, 0.0035534559926234_dp, 0.0035530484794464_dp, 0.0035521567734804_dp, &
+         & 0.0035504495354601_dp, 0.0035474821529888_dp, 0.0035426901505140_dp, 0.0035353884064371_dp, &
+         & 0.0035247770768017_dp, 0.0035099550505287_dp, 0.0034899415861318_dp, 0.0034637064569303_dp, &
+         & 0.0034302084367823_dp, 0.0033884412787906_dp, 0.0033374855064920_dp, 0.0032765634704290_dp, &
+         & 0.0032050943970852_dp, 0.0031227456833207_dp, 0.0030294762985399_dp, 0.0029255676112108_dp, &
+         & 0.0028116368515114_dp, 0.0026886304265226_dp, 0.0025577984064817_dp, 0.0024206530343669_dp, &
+         & 0.0022789100816318_dp, 0.0021344115265585_dp, 0.0019890401458795_dp, 0.0018446420130473_dp, &
+         & 0.0017029541379259_dp, 0.0015655325042481_dp, 0.0014337040177246_dp, 0.0013085449859673_dp, &
+         & 0.0011908550133057_dp, 0.0010811512939633_dp, 0.0009797006174317_dp, 0.0008865293396525_dp, &
+         & 0.0008014545291353_dp, 0.0007241601396224_dp, 0.0006541880014375_dp, 0.0005909660020578_dp, &
+         & 0.0005339498618753_dp, 0.0004825089000917_dp, 0.0004358856047233_dp, 0.0003937522022781_dp, &
+         & 0.0003557993082879_dp, 0.0003210604299007_dp, 0.0002890355652951_dp, 0.0002593728923515_dp, &
+         & 0.0002318264455177_dp, 0.0002062280027033_dp, 0.0001824443166427_dp, 0.0001607562556210_dp, &
+         & 1.4072326738201501e-04_dp, 1.2216559063205101e-04_dp, 1.0509765962396500e-04_dp, 8.9519911796287502e-05_dp, &
+         & 7.5418236811231095e-05_dp, 6.2761949454426299e-05_dp, 5.1508264753863400e-05_dp, 4.1607801069432098e-05_dp, &
+         & 3.3005475632563703e-05_dp, 2.5638624908452802e-05_dp, 1.9435267873291199e-05_dp, 1.4313489661077500e-05_dp, &
+         & 1.0181902748485099e-05_dp, 6.9408907634738196e-06_dp, 4.4843488566925796e-06_dp, 2.7017139565543900e-06_dp, &
+         & 1.4801679988352101e-06_dp, 7.0697836918043301e-07_dp, 2.7201692631706502e-07_dp, 3.5527136788005001e-15_dp, &
+         & 7.1054273576010003e-15_dp &
+         &]
+      case (27)
+         out = [&
+         & 27.0000000000000000_dp, 26.9999999811786999_dp, 26.9999993991860983_dp, 26.9999954560950997_dp, &
+         & 26.9999809607841001_dp, 26.9999423209077989_dp, 26.9998577549362011_dp, 26.9996957873885002_dp, &
+         & 26.9994140819170987_dp, 26.9989586567300996_dp, 26.9982635153270998_dp, 26.9972507130271993_dp, &
+         & 26.9958308667537992_dp, 26.9939041024667006_dp, 26.9913614219696001_dp, 26.9880864590131004_dp, &
+         & 26.9839575840329999_dp, 26.9788503077895001_dp, 26.9726399267775001_dp, 26.9652043475867984_dp, &
+         & 26.9564270233187990_dp, 26.9461999325232995_dp, 26.9344265296705991_dp, 26.9210245956659016_dp, &
+         & 26.9059289171974996_dp, 26.8890937247203006_dp, 26.8704948207504017_dp, 26.8501313331402010_dp, &
+         & 26.8280270325590990_dp, 26.8042311599601000_dp, 26.7788187188285995_dp, 26.7518901987346993_dp, &
+         & 26.7235707111998018_dp, 26.6940085358293011_dp, 26.6633730934446014_dp, 26.6318523826369997_dp, &
+         & 26.5996499356186007_dp, 26.5669813672483990_dp, 26.5340706064771013_dp, 26.5011459112114984_dp, &
+         & 26.4684357750555996_dp, 26.4361648372031013_dp, 26.4045499049781007_dp, 26.3737961924988014_dp, &
+         & 26.3440938693088000_dp, 26.3156150003588003_dp, 26.2885109442933000_dp, 26.2629102614322001_dp, &
+         & 26.2389171668827998_dp, 26.2166105484801015_dp, 26.1960435541932988_dp, 26.1772437395622006_dp, &
+         & 26.1602137528139984_dp, 26.1449325236606995_dp, 26.1313569114034010_dp, 26.1194237588895000_dp, &
+         & 26.1090522910848009_dp, 26.1001467905648994_dp, 26.0925994771648995_dp, 26.0862935154389000_dp, &
+         & 26.0811060715891010_dp, 26.0769113412438003_dp, 26.0735834709908012_dp, 26.0709992999917013_dp, &
+         & 26.0690408533113001_dp, 26.0675975257609984_dp, 26.0665679039455007_dp, 26.0658611846236994_dp, &
+         & 26.0653981591771000_dp, 26.0651117466038009_dp, 26.0649470706397004_dp, 26.0648610899628999_dp, &
+         & 26.0648218035438006_dp, 26.0648070656675017_dp, 26.0648030565904989_dp, 26.0648024648584986_dp, &
+         & 26.0648023872357015_dp, 26.0648005787183017_dp, 26.0647883257328985_dp, 26.0647432822539997_dp, &
+         & 26.0646232112773006_dp, 26.0643604307637986_dp, 26.0638571435389004_dp, 26.0629818255099011_dp, &
+         & 26.0615668176296005_dp, 26.0594072341520011_dp, 26.0562612636986017_dp, 26.0518519014106005_dp, &
+         & 26.0458701109876003_dp, 26.0379793758017009_dp, 26.0278215595544005_dp, 26.0150239600699003_dp, &
+         & 25.9992074054280984_dp, 25.9799952100401015_dp, 25.9570227793044985_dp, 25.9299476247295999_dp, &
+         & 25.8984595263629984_dp, 25.8622905559426997_dp, 25.8212246531282013_dp, 25.7751064305329010_dp, &
+         & 25.7238488745087999_dp, 25.6674396123401998_dp, 25.6059454376607007_dp, 25.5395148287371008_dp, &
+         & 25.4683782608661993_dp, 25.3928462033847993_dp, 25.3133047987464010_dp, 25.2302093372058991_dp, &
+         & 25.1440757548416016_dp, 25.0554704831282997_dp, 24.9649990546198985_dp, 24.8732939142044991_dp, &
+         & 24.7810018959578002_dp, 24.6887718035524983_dp, 24.5972424832480989_dp, 24.5070317110985982_dp, &
+         & 24.4187261396372008_dp, 24.3328724727676011_dp, 24.2499699679633984_dp, 24.1704643067203016_dp, &
+         & 24.0947428295197987_dp, 24.0231311001329004_dp, 23.9558907441435984_dp, 23.8932184954221007_dp, &
+         & 23.8352463790480016_dp, 23.7820429571885015_dp, 23.7336155635056016_dp, 23.6899134502437008_dp, &
+         & 23.6508317692494003_dp, 23.6162163033249008_dp, 23.5858688574497002_dp, 23.5595532107338990_dp, &
+         & 23.5370015199554992_dp, 23.5179210548028017_dp, 23.5020011342658997_dp, 23.4889201238675014_dp, &
+         & 23.4783523455358996_dp, 23.4699747468609985_dp, 23.4634731751499999_dp, 23.4585481049026008_dp, &
+         & 23.4549196756599017_dp, 23.4523319109614015_dp, 23.4505560083806017_dp, 23.4493926149341014_dp, &
+         & 23.4486730308654998_dp, 23.4482593168430995_dp, 23.4480433136913007_dp, 23.4479446184349989_dp, &
+         & 23.4479075941729000_dp, 23.4478975226510009_dp, 23.4478960361145994_dp, 23.4478959048817011_dp, &
+         & 23.4478933334379995_dp, 23.4478759115212014_dp, 23.4478118665978990_dp, 23.4476411454713016_dp, &
+         & 23.4472675220195015_dp, 23.4465519713896988_dp, 23.4453075695669995_dp, 23.4432961423315014_dp, &
+         & 23.4402268473973017_dp, 23.4357568277283015_dp, 23.4294940221833983_dp, 23.4210021612513017_dp, &
+         & 23.4098079104478991_dp, 23.3954100522594004_dp, 23.3772905204350998_dp, 23.3549270201286987_dp, &
+         & 23.3278068872219997_dp, 23.2954417646662009_dp, 23.2573826083916018_dp, 23.2132344864119986_dp, &
+         & 23.1626706083754001_dp, 23.1054450243976000_dp, 23.0414034653382984_dp, 22.9704918628884016_dp, &
+         & 22.8927621847700991_dp, 22.8083753420959994_dp, 22.7176010631240004_dp, 22.6208147684228997_dp, &
+         & 22.5184916142098999_dp, 22.4111979820680993_dp, 22.2995807765751017_dp, 22.1843549446226014_dp, &
+         & 22.0662896535258994_dp, 21.9461935656653999_dp, 21.8248996335021985_dp, 21.7032498178141005_dp, &
+         & 21.5820801084922991_dp, 21.4622062019186011_dp, 21.3444101591805016_dp, 21.2294283310795002_dp, &
+         & 21.1179407859296013_dp, 21.0105624143559986_dp, 20.9078358152830006_dp, 20.8102259956181008_dp, &
+         & 20.7181168504973989_dp, 20.6318093379803997_dp, 20.5515212256288002_dp, 20.4773882669536995_dp, &
+         & 20.4094666607600992_dp, 20.3477366516017995_dp, 20.2921071399693993_dp, 20.2424211820530999_dp, &
+         & 20.1984622676775984_dp, 20.1599612693404993_dp, 20.1266039544623005_dp, 20.0980389472078009_dp, &
+         & 20.0738860164547006_dp, 20.0537445540149015_dp, 20.0372020936565995_dp, 20.0238427085451001_dp, &
+         & 20.0132551141648989_dp, 20.0050402972692005_dp, 19.9988184903784010_dp, 19.9942353170016993_dp, &
+         & 19.9909669458366004_dp, 19.9887241129640998_dp, 19.9872548992289012_dp, 19.9863461846973003_dp, &
+         & 19.9858237419660014_dp, 19.9855509733624004_dp, 19.9854263416697009_dp, 19.9853795877819991_dp, &
+         & 19.9853668695686011_dp, 19.9853649923860992_dp, 19.9853648418128991_dp, 19.9853620629723991_dp, &
+         & 19.9853432359137990_dp, 19.9852740255680992_dp, 19.9850895355307010_dp, 19.9846857802156990_dp, &
+         & 19.9839125275309009_dp, 19.9825677940815005_dp, 19.9803942384569986_dp, 19.9770776560481984_dp, &
+         & 19.9722477305619996_dp, 19.9654811421420995_dp, 19.9563070689066997_dp, 19.9442150472404016_dp, &
+         & 19.9286650764332016_dp, 19.9090997663647009_dp, 19.8849582353015997_dp, 19.8556913723775992_dp, &
+         & 19.8207779912527009_dp, 19.7797413243375999_dp, 19.7321652481339989_dp, 19.6777095971245011_dp, &
+         & 19.6161239230128999_dp, 19.5472590930232997_dp, 19.4710761977789986_dp, 19.3876523545799984_dp, &
+         & 19.2971831397923985_dp, 19.1999815538253991_dp, 19.0964735989314001_dp, 18.9871907164749985_dp, &
+         & 18.8727594694782006_dp, 18.7538889551694012_dp, 18.6313564849033995_dp, 18.5059920775028992_dp, &
+         & 18.3786622864226992_dp, 18.2502538347787002_dp, 18.1216574784717999_dp, 17.9937524655639010_dp, &
+         & 17.8673919132085999_dp, 17.7433893803032987_dp, 17.6225068705215016_dp, 17.5054444526397006_dp, &
+         & 17.3928316314752998_dp, 17.2852205446242984_dp, 17.1830810012523010_dp, 17.0867973242536983_dp, &
+         & 16.9966669106568986_dp, 16.9129003902891988_dp, 16.8356232406267985_dp, 16.7648787056975017_dp, &
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+         & 2.8082770242576798e-07_dp, 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, &
+         & 7.1054273576010003e-15_dp, 3.5527136788005001e-15_dp, 1.0658141036401500e-14_dp, 7.1054273576010003e-15_dp, &
+         & 7.1054273576010003e-15_dp &
+         &]
+      case (28)
+         out = [&
+         & 28.0000000000000000_dp, 27.9999999800080985_dp, 27.9999993618178991_dp, 27.9999951734821018_dp, &
+         & 27.9999797766196998_dp, 27.9999387334936998_dp, 27.9998489078419013_dp, 27.9996768665083984_dp, &
+         & 27.9993776399184995_dp, 27.9988938886413017_dp, 27.9981555110431017_dp, 27.9970797137607015_dp, &
+         & 27.9955715529021987_dp, 27.9935249399987001_dp, 27.9908240932975012_dp, 27.9873454024700017_dp, &
+         & 27.9829596636043014_dp, 27.9775346317584983_dp, 27.9709378305431997_dp, 27.9630395521953012_dp, &
+         & 27.9537159773102992_dp, 27.9428523405924985_dp, 27.9303460673992987_dp, 27.9161098052404988_dp, &
+         & 27.9000742745586017_dp, 27.8821908640267999_dp, 27.8624338974009014_dp, 27.8408025019644008_dp, &
+         & 27.8173220132999006_dp, 27.7920448580116997_dp, 27.7650508656182993_dp, 27.7364469734196994_dp, &
+         & 27.7063663037639003_dp, 27.6749666114489017_dp, 27.6424281193112016_dp, 27.6089507813290993_dp, &
+         & 27.5747510335520012_dp, 27.5400581125167001_dp, 27.5051100372327006_dp, 27.4701493632782991_dp, &
+         & 27.4354188252953008_dp, 27.4011569868906015_dp, 27.3675940147061993_dp, 27.3349476866421988_dp, &
+         & 27.3034197336072992_dp, 27.2731926006170013_dp, 27.2444266974790992_dp, 27.2172581926261010_dp, &
+         & 27.1917973866483997_dp, 27.1681276854044000_dp, 27.1463051767034003_dp, 27.1263587997758009_dp, &
+         & 27.1082910832420012_dp, 27.0920794151358990_dp, 27.0776777977382004_dp, 27.0650190305304008_dp, &
+         & 27.0540172564730987_dp, 27.0445708000856015_dp, 27.0365652205048015_dp, 27.0298764989389007_dp, &
+         & 27.0243742778166016_dp, 27.0199250686127996_dp, 27.0163953468995999_dp, 27.0136544567324997_dp, &
+         & 27.0115772520431996_dp, 27.0100464102374005_dp, 27.0089543625612016_dp, 27.0082047968001007_dp, &
+         & 27.0077137002292993_dp, 27.0074099240945991_dp, 27.0072352648795011_dp, 27.0071440717767999_dp, &
+         & 27.0071024036957006_dp, 27.0070867723660015_dp, 27.0070825202469997_dp, 27.0070818926424003_dp, &
+         & 27.0070818103139985_dp, 27.0070798921589983_dp, 27.0070668963622005_dp, 27.0070191222215001_dp, &
+         & 27.0068917722362016_dp, 27.0066130614522990_dp, 27.0060792645588990_dp, 27.0051508859085985_dp, &
+         & 27.0036501070869015_dp, 27.0013596319233997_dp, 26.9980230107728012_dp, 26.9933464854168008_dp, &
+         & 26.9870023541054991_dp, 26.9786338141522997_dp, 26.9678611982341998_dp, 26.9542894810913012_dp, &
+         & 26.9375168963563993_dp, 26.9171444690894006_dp, 26.8927862381121017_dp, 26.8640799129974006_dp, &
+         & 26.8306976831233008_dp, 26.7923568705327000_dp, 26.7488300954186009_dp, 26.6999546052124010_dp, &
+         & 26.6456404093739003_dp, 26.5858768670969994_dp, 26.5207373996443003_dp, 26.4503820472864994_dp, &
+         & 26.3750576648455990_dp, 26.2950956479850007_dp, 26.2109071988236018_dp, 26.1229762645108998_dp, &
+         & 26.0318504038772005_dp, 25.9381299424135996_dp, 25.8424558536372011_dp, 25.7454968480276989_dp, &
+         & 25.6479361567607995_dp, 25.5504584690262000_dp, 25.4537374256585984_dp, 25.3584239976318990_dp, &
+         & 25.2651359959541999_dp, 25.1744488790257996_dp, 25.0868879517392998_dp, 25.0029219918837988_dp, &
+         & 24.9229582953389013_dp, 24.8473391013896006_dp, 24.7763393409873984_dp, 24.7101656408860002_dp, &
+         & 24.6489565121515994_dp, 24.5927836498350985_dp, 24.5416542694302002_dp, 24.4955144036727006_dp, &
+         & 24.4542530793972013_dp, 24.4177072882239017_dp, 24.3856676568188000_dp, 24.3578847126734992_dp, &
+         & 24.3340756302800010_dp, 24.3139313309115010_dp, 24.2971237977371004_dp, 24.2833134576125005_dp, &
+         & 24.2721564725461008_dp, 24.2633117785372008_dp, 24.2564477081599996_dp, 24.2512480367344985_dp, &
+         & 24.2474173008069016_dp, 24.2446852522914007_dp, 24.2428103319928994_dp, 24.2415820719606998_dp, &
+         & 24.2408223664631990_dp, 24.2403855852157015_dp, 24.2401575384909016_dp, 24.2400533403347005_dp, &
+         & 24.2400142517300985_dp, 24.2400036186554999_dp, 24.2400020492350983_dp, 24.2400019106850984_dp, &
+         & 24.2399991958668011_dp, 24.2399808025650998_dp, 24.2399131867218998_dp, 24.2397329467837999_dp, &
+         & 24.2393384913921004_dp, 24.2385830441326000_dp, 24.2372692586904996_dp, 24.2351456808976984_dp, &
+         & 24.2319052516801996_dp, 24.2271859965462006_dp, 24.2205739924845993_dp, 24.2116086414393017_dp, &
+         & 24.1997902106270999_dp, 24.1845895241665012_dp, 24.1654596089903002_dp, 24.1418490131344008_dp, &
+         & 24.1132164298248988_dp, 24.0790461812087990_dp, 24.0388640469940000_dp, 23.9922528722721005_dp, &
+         & 23.9388673619046983_dp, 23.8784474717263997_dp, 23.8108298432060010_dp, 23.7359567990320990_dp, &
+         & 23.6538825196175999_dp, 23.5647761481361009_dp, 23.4689217142217004_dp, 23.3667149114095984_dp, &
+         & 23.2586568978502015_dp, 23.1453454027654004_dp, 23.0274635054719994_dp, 22.9057665076963985_dp, &
+         & 22.7810673466231997_dp, 22.6542210025206998_dp, 22.5261083488176013_dp, 22.3976198803711988_dp, &
+         & 22.2696397398589987_dp, 22.1430304410651999_dp, 22.0186186567819995_dp, 21.8971823933647016_dp, &
+         & 21.7794398115330985_dp, 21.6660398760766988_dp, 21.5575549324819988_dp, 21.4544752256172018_dp, &
+         & 21.3572053039663992_dp, 21.2660621993336996_dp, 21.1812752391724004_dp, 21.1029873352914983_dp, &
+         & 21.0312575941768998_dp, 20.9660651046525999_dp, 20.9073137724019986_dp, 20.8548380833994997_dp, &
+         & 20.8084096866453017_dp, 20.7677446893256992_dp, 20.7325115544743994_dp, 20.7023394830655008_dp, &
+         & 20.6768271504490997_dp, 20.6555516526650997_dp, 20.6380775031325001_dp, 20.6239655062529010_dp, &
+         & 20.6127813233374013_dp, 20.6041035396028001_dp, 20.5975310402569995_dp, 20.5926895100439005_dp, &
+         & 20.5892368848083009_dp, 20.5868676058910012_dp, 20.5853155581613017_dp, 20.5843556093167983_dp, &
+         & 20.5838037102952001_dp, 20.5835155623752009_dp, 20.5833839036366015_dp, 20.5833345136436989_dp, &
+         & 20.5833210783440990_dp, 20.5833190953212011_dp, 20.5833189362581983_dp, 20.5833160007394014_dp, &
+         & 20.5832961121614986_dp, 20.5832229995503013_dp, 20.5830281074432015_dp, 20.5826015871347998_dp, &
+         & 20.5817847355436996_dp, 20.5803641794089991_dp, 20.5780680638967013_dp, 20.5745644600814011_dp, &
+         & 20.5694621546294982_dp, 20.5623139265042987_dp, 20.5526223487567989_dp, 20.5398480778822012_dp, &
+         & 20.5234205089455983_dp, 20.5027505829077015_dp, 20.4772454359019989_dp, 20.4463244827722015_dp, &
+         & 20.4094364346793000_dp, 20.3660766700500986_dp, 20.3158043174253002_dp, 20.2582583758204002_dp, &
+         & 20.1931722001167984_dp, 20.1203857208220995_dp, 20.0398548511378003_dp, 19.9516576572568987_dp, &
+         & 19.8559970227953997_dp, 19.7531997129845003_dp, 19.6437119226188983_dp, 19.5280915562523987_dp, &
+         & 19.4069976239605992_dp, 19.2811772305563984_dp, 19.1514506872854007_dp, 19.0186952873971009_dp, &
+         & 18.8838282708462017_dp, 18.7477894709084012_dp, 18.6115240967467983_dp, 18.4759660663454994_dp, &
+         & 18.3420222640862001_dp, 18.2105580536279987_dp, 18.0823843259965997_dp, 17.9582463029991999_dp, &
+         & 17.8388142483161012_dp, 17.7246761668289992_dp, 17.6163325025902004_dp, 17.5141927831794000_dp, &
+         & 17.4185741076671015_dp, 17.3297013396018009_dp, 17.2477088456668000_dp, 17.1726436132222986_dp, &
+         & 17.1044695827966002_dp, 17.0430730409705014_dp, 16.9882689312629012_dp, 16.9398079522622993_dp, &
+         & 16.8973843208612990_dp, 16.8606440824206985_dp, 16.8291938483576011_dp, 16.8026098351929996_dp, &
+         & 16.7804470684248983_dp, 16.7622486012027991_dp, 16.7475545835669983_dp, 16.7359110051081004_dp, &
+         & 16.7268779244732997_dp, 16.7200369951980008_dp, 16.7149981005720001_dp, 16.7114049218164986_dp, &
+         & 16.7089392843086983_dp, 16.7073241557757015_dp, 16.7063252074088986_dp, 16.7057508921954998_dp, &
+         & 16.7054510423558007_dp, 16.7053140372224007_dp, 16.7052626416621983_dp, 16.7052486608044006_dp, &
+         & 16.7052465972582986_dp, 16.7052464380977987_dp, 16.7052435800855008_dp, 16.7052242166266005_dp, &
+         & 16.7051530344321009_dp, 16.7049632882875017_dp, 16.7045480307081995_dp, 16.7037527521016003_dp, &
+         & 16.7023697225638017_dp, 16.7001342895697000_dp, 16.6967233432119997_dp, 16.6917561116549997_dp, &
+         & 16.6847973931687008_dp, 16.6753632665117983_dp, 16.6629292479094993_dp, 16.6469407804827014_dp, &
+         & 16.6268258518937984_dp, 16.6020094406700984_dp, 16.5719293951657001_dp, 16.5360532568633012_dp, &
+         & 16.4938954583249000_dp, 16.4450342628809985_dp, 16.3891277753845017_dp, 16.3259283475094996_dp, &
+         & 16.2552947319132990_dp, 16.1772014094131009_dp, 16.0917446213936017_dp, 15.9991447817846009_dp, &
+         & 15.8997451115260002_dp, 15.7940065227454003_dp, 15.6824989667944994_dp, 15.5658896353795004_dp, &
+         & 15.4449285529676992_dp, 15.3204322089328997_dp, 15.1932659405251993_dp, 15.0643257886206001_dp, &
+         & 14.9345205090001993_dp, 14.8047543398978991_dp, 14.6759110136052993_dp, 14.5488393705548997_dp, &
+         & 14.4243408033745997_dp, 14.3031586388826994_dp, 14.1859694672030994_dp, 14.0733763540230008_dp, &
+         & 13.9659038250013996_dp, 13.8639944875223993_dp, 13.7680071491987999_dp, 13.6782162988092004_dp, &
+         & 13.5948128280746996_dp, 13.5179058872978999_dp, 13.4475257812298992_dp, 13.3836278217402000_dp, &
+         & 13.3260970601132005_dp, 13.2747538238937999_dp, 13.2293599813539995_dp, 13.1896258511629991_dp, &
+         & 13.1552176661051003_dp, 13.1257654881612993_dp, 13.1008714585438995_dp, 13.0801182511421992_dp, &
+         & 13.0630775823660006_dp, 13.0493186158455998_dp, 13.0384160883695994_dp, 13.0299579753823007_dp, &
+         & 13.0235525118282993_dp, 13.0188343884314008_dp, 13.0154699555238000_dp, 13.0131612867093001_dp, &
+         & 13.0116489827628001_dp, 13.0107136314053005_dp, 13.0101758795601992_dp, 13.0098951195002996_dp, &
+         & 13.0097668367377004_dp, 13.0097187132548999_dp, 13.0097056224828993_dp, 13.0097036903116994_dp, &
+         & 13.0097035440136004_dp, 13.0097009523558995_dp, 13.0096833934888991_dp, 13.0096188451637005_dp, &
+         & 13.0094467824697002_dp, 13.0090702246408991_dp, 13.0083490604987997_dp, 13.0070949160400993_dp, &
+         & 13.0050677939526000_dp, 13.0019746758542993_dp, 12.9974702332247993_dp, 12.9911597415000006_dp, &
+         & 12.9826042327169997_dp, 12.9713278548511006_dp, 12.9568273306432999_dp, 12.9385833264166994_dp, &
+         & 12.9160734545867992_dp, 12.8887865462908007_dp, 12.8562377482590993_dp, 12.8179839273638994_dp, &
+         & 12.7736388144189998_dp, 12.7228872926621008_dp, 12.6654982415162003_dp, 12.6013353858610007_dp, &
+         & 12.5303656750881007_dp, 12.4526648208547996_dp, 12.3684197503259998_dp, 12.2779278726382000_dp, &
+         & 12.1815931988257997_dp, 12.0799194884372003_dp, 11.9735007106406002_dp, 11.8630091983947992_dp, &
+         & 11.7491819397392998_dp, 11.6328054922747004_dp, 11.5147000290314008_dp, 11.3957030295948005_dp, &
+         & 11.2766531212184002_dp, 11.1583745499287996_dp, 11.0416627188867000_dp, 10.9272711682777999_dp, &
+         & 10.8159002880735997_dp, 10.7081879565351006_dp, 10.6047021920019997_dp, 10.5059358045867004_dp, &
+         & 10.4123029490132009_dp, 10.3241374181660994_dp, 10.2416924823436997_dp, 10.1651420701031991_dp, &
+         & 10.0945830974543007_dp, 10.0300387755418008_dp, 9.9714627554085702_dp, 9.9187439958192698_dp, &
+         & 9.8717122623302895_dp, 9.8301441806488796_dp, 9.7937697742698404_dp, 9.7622794159223005_dp, &
+         & 9.7353311156545406_dp, 9.7125580569092698_dp, 9.6935762773265903_dp, 9.6779923749602599_dp, &
+         & 9.6654111048457896_dp, 9.6554427171563493_dp, 9.6477098782082091_dp, 9.6418540108660302_dp, &
+         & 9.6375408927254700_dp, 9.6344653597065992_dp, 9.6323549797764798_dp, 9.6309725862620308_dp, &
+         & 9.6301175918514303_dp, 9.6296260415901607_dp, 9.6293694041738807_dp, 9.6292521435325096_dp, &
+         & 9.6292081548742594_dp, 9.6291961888791207_dp, 9.6291944227228097_dp, 9.6291942901368905_dp, &
+         & 9.6291919564743793_dp, 9.6291761455640899_dp, 9.6291180229343194_dp, 9.6289630889513003_dp, &
+         & 9.6286240177307292_dp, 9.6279746481600306_dp, 9.6268453651798893_dp, 9.6250200796109908_dp, &
+         & 9.6222349802448406_dp, 9.6181791920489808_dp, 9.6124974282858506_dp, 9.6047946711843899_dp, &
+         & 9.5946428548806004_dp, 9.5815894556239698_dp, 9.5651678186587397_dp, 9.5449089709024904_dp, &
+         & 9.5203545871357900_dp, 9.4910706998601597_dp, 9.4566616754259805_dp, 9.4167839283370505_dp, &
+         & 9.3711588186734094_dp, 9.3195841803253003_dp, 9.2619439642856598_dp, 9.1982155528006597_dp, &
+         & 9.1284744042192401_dp, 9.0528958183159300_dp, 8.9717537572494095_dp, 8.8854168049568401_dp, &
+         & 8.7943414835729605_dp, 8.6990632568410309_dp, 8.6001856288318805_dp, 8.4983677886130504_dp, &
+         & 8.3943112607306603_dp, 8.2887460050286794_dp, 8.1824163770792406_dp, 8.0760673212212293_dp, &
+         & 7.9704311278188502_dp, 7.8662150469724699_dp, 7.7640900114846296_dp, 7.6646806798091296_dp, &
+         & 7.5685569627080103_dp, 7.4762271448093403_dp, 7.3881326557818303_dp, 7.3046444888489201_dp, &
+         & 7.2260612112151703_dp, 7.1526084658924498_dp, 7.0844398305644800_dp, 7.0216388780999601_dp, &
+         & 6.9642222749776304_dp, 6.9121437565744204_dp, 6.8652988292601300_dp, 6.8235300652518296_dp, &
+         & 6.7866328738564201_dp, 6.7543616490821297_dp, 6.7264362062890202_dp, 6.7025484280708003_dp, &
+         & 6.6823690413024801_dp, 6.6655544435016498_dp, 6.6517534883464302_dp, 6.6406141289780400_dp, &
+         & 6.6317898055971600_dp, 6.6249454530204899_dp, 6.6197629964206399_dp, 6.6159462012779198_dp, &
+         & 6.6132247480132200_dp, 6.6113574136306701_dp, 6.6101342620798000_dp, 6.6093777713646800_dp, &
+         & 6.6089428574702200_dp, 6.6087157912350900_dp, 6.6086120423431396_dp, 6.6085731224785498_dp, &
+         & 6.6085625353247899_dp, 6.6085609726828203_dp, 6.6085608557315103_dp, 6.6085588020078498_dp, &
+         & 6.6085448877268496_dp, 6.6084937373439496_dp, 6.6083573890947500_dp, 6.6080589937371901_dp, &
+         & 6.6074875288276900_dp, 6.6064937399876902_dp, 6.6048874954367598_dp, 6.6024367108792203_dp, &
+         & 6.5988679679632201_dp, 6.5938689100494603_dp, 6.5870924529759698_dp, 6.5781627952092903_dp, &
+         & 6.5666831511387604_dp, 6.5522450640765504_dp, 6.5344390836255100_dp, 6.5128665184909504_dp, &
+         & 6.4871519046749402_dp, 6.4569557653245502_dp, 6.4219871878269199_dp, 6.3820157115538896_dp, &
+         & 6.3368820108329702_dp, 6.2865068759178904_dp, 6.2308980418687803_dp, 6.1701544911373700_dp, &
+         & 6.1044679578068104_dp, 6.0341214851143699_dp, 5.9594850262961900_dp, 5.8810082234738204_dp, &
+         & 5.7992106406532198_dp, 5.7146698548809001_dp, 5.6280079145305200_dp, 5.5398767472489601_dp, &
+         & 5.4509431362586698_dp, 5.3618738796574297_dp, 5.2733217039651397_dp, 5.1859124251306596_dp, &
+         & 5.1002337455406597_dp, 5.0168259546055802_dp, 4.9361746745567396_dp, 4.8587056730451899_dp, &
+         & 4.7847816591292300_dp, 4.7147008957996501_dp, 4.6486974038089199_dp, 4.5869424987715099_dp, &
+         & 4.5295473943040001_dp, 4.4765666145703600_dp, 4.4280019851254897_dp, 4.3838070062009002_dp, &
+         & 4.3438914525646304_dp, 4.3081260844520104_dp, 4.2763473912854604_dp, 4.2483623213896102_dp, &
+         & 4.2239529749822600_dp, 4.2028812535351898_dp, 4.1848934660446400_dp, 4.1697248923511498_dp, &
+         & 4.1571042964605898_dp, 4.1467583703314501_dp, 4.1384160726331896_dp, 4.1318128095838498_dp, &
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+         & 0.0431339300781772_dp, 0.0431339278483023_dp, 0.0431338872317042_dp, 0.0431336120488517_dp, &
+         & 0.0431326004563637_dp, 0.0431299039895912_dp, 0.0431240031799973_dp, 0.0431127037342058_dp, &
+         & 0.0430930580039899_dp, 0.0430613162908493_dp, 0.0430129122821583_dp, 0.0429424865300057_dp, &
+         & 0.0428439512587673_dp, 0.0427105988157521_dp, 0.0425352546694846_dp, 0.0423104739526146_dp, &
+         & 0.0420287781418018_dp, 0.0416829256423483_dp, 0.0412662069664940_dp, 0.0407727521198602_dp, &
+         & 0.0401978350710159_dp, 0.0395381581531602_dp, 0.0387920983075816_dp, 0.0379598975388546_dp, &
+         & 0.0370437820033978_dp, 0.0360479978135047_dp, 0.0349787567211237_dp, 0.0338440909538704_dp, &
+         & 0.0326536230410177_dp, 0.0314182628117372_dp, 0.0301498491788053_dp, 0.0288607582317475_dp, &
+         & 0.0275635011304125_dp, 0.0262703351353153_dp, 0.0249929089290752_dp, 0.0237419595112556_dp, &
+         & 0.0225270729031664_dp, 0.0213565152863389_dp, 0.0202371356285482_dp, 0.0191743358634433_dp, &
+         & 0.0181721006988589_dp, 0.0172330763885320_dp, 0.0163586863860594_dp, 0.0155492716132457_dp, &
+         & 0.0148042438888645_dp, 0.0141222425765335_dp, 0.0135012864163855_dp, 0.0129389145416638_dp, &
+         & 0.0124323126538570_dp, 0.0119784221094150_dp, 0.0115740311805084_dp, 0.0112158489559491_dp, &
+         & 0.0109005632390868_dp, 0.0106248843965524_dp, 0.0103855774505774_dp, 0.0101794848319017_dp, &
+         & 0.0100035421662774_dp, 0.0098547892942591_dp, 0.0097303784556964_dp, 0.0096275812328912_dp, &
+         & 0.0095437954636068_dp, 0.0094765529256904_dp, 0.0094235281804274_dp, 0.0093825485625132_dp, &
+         & 0.0093516049422142_dp, 0.0093288625827874_dp, 0.0093126711931184_dp, 0.0093015731470132_dp, &
+         & 0.0092943088164859_dp, 0.0092898180457226_dp, 0.0092872369663297_dp, 0.0092858896039871_dp, &
+         & 0.0092852740272420_dp, 0.0092850431103031_dp, 0.0092849802959805_dp, 0.0092849710247442_dp, &
+         & 0.0092849702886788_dp, 0.0092849567993696_dp, 0.0092848654076896_dp, 0.0092845294478821_dp, &
+         & 0.0092836339459481_dp, 0.0092816743828621_dp, 0.0092779224319557_dp, 0.0092714004072469_dp, &
+         & 0.0092608661921823_dp, 0.0092448104340193_dp, 0.0092214677407689_dp, 0.0091888434433649_dp, &
+         & 0.0091447571205023_dp, 0.0090869034672814_dp, 0.0090129301842303_dp, 0.0089205313676430_dp, &
+         & 0.0088075534423524_dp, 0.0086721091012159_dp, 0.0085126931658195_dp, 0.0083282929744364_dp, &
+         & 0.0081184850730196_dp, 0.0078835098557200_dp, 0.0076243165386920_dp, 0.0073425725160376_dp, &
+         & 0.0070406336665840_dp, 0.0067214753389706_dp, 0.0063885871972680_dp, 0.0060458384469335_dp, &
+         & 0.0056973227540524_dp, 0.0053471940496763_dp, 0.0049995051082910_dp, 0.0046580601793487_dp, &
+         & 0.0043262910814299_dp, 0.0040071632966061_dp, 0.0037031151961600_dp, 0.0034160301934705_dp, &
+         & 0.0031472389271663_dp, 0.0028975468439221_dp, 0.0026672817272626_dp, 0.0024563554749371_dp, &
+         & 0.0022643344239519_dp, 0.0020905126581461_dp, 0.0019339831736716_dp, 0.0017937027333161_dp, &
+         & 0.0016685476890572_dp, 0.0015573596682756_dp, 0.0014589813593773_dp, 0.0013722834164831_dp, &
+         & 0.0012961837503553_dp, 0.0012296604126725_dp, 0.0011717591547260_dp, 0.0011215966646070_dp, &
+         & 0.0010783604503217_dp, 0.0010413062867087_dp, 0.0010097540531078_dp, 0.0009830826652610_dp, &
+         & 0.0009607246721295_dp, 0.0009421609632732_dp, 0.0009269159189849_dp, 0.0009145532307819_dp, &
+         & 0.0009046725229247_dp, 0.0008969068172675_dp, 0.0008909208057908_dp, 0.0008864098292243_dp, &
+         & 0.0008830994071367_dp, 0.0008807451260431_dp, 0.0008791326690165_dp, 0.0008780777644297_dp, &
+         & 0.0008774258434912_dp, 0.0008770512251743_dp, 0.0008768556903824_dp, 0.0008767663602711_dp, &
+         & 0.0008767328512995_dp, 0.0008767237362264_dp, 0.0008767223908634_dp, 0.0008767222830741_dp, &
+         & 0.0008767202954232_dp, 0.0008767068289117_dp, 0.0008766573260388_dp, 0.0008765253807184_dp, &
+         & 0.0008762366783053_dp, 0.0008756839958046_dp, 0.0008747235555902_dp, 0.0008731730512288_dp, &
+         & 0.0008708116879497_dp, 0.0008673825889716_dp, 0.0008625978972319_dp, 0.0008561468317048_dp, &
+         & 0.0008477068228316_dp, 0.0008369576417344_dp, 0.0008235981527065_dp, 0.0008073649743103_dp, &
+         & 0.0007880519647614_dp, 0.0007655291081150_dp, 0.0007397591394493_dp, 0.0007108101810509_dp, &
+         & 0.0006788628195764_dp, 0.0006442104395745_dp, 0.0006072521811831_dp, 0.0005684784972892_dp, &
+         & 0.0005284498399476_dp, 0.0004877694937555_dp, 0.0004470521285498_dp, 0.0004068904785122_dp, &
+         & 0.0003678237061209_dp, 0.0003303120404219_dp, 0.0002947222158376_dp, 0.0002613260668163_dp, &
+         & 0.0002303102968746_dp, 0.0002017906751881_dp, 0.0001758218533823_dp, 0.0001523971495665_dp, &
+         & 1.3144045684043701e-04_dp, 1.1280047822026500e-04_dp, 9.6259651957808501e-05_dp, 8.1563206371981805e-05_dp, &
+         & 6.8461232885397294e-05_dp, 5.6747110345867200e-05_dp, 4.6276129378242097e-05_dp, 3.6958377236828703e-05_dp, &
+         & 2.8732302876477400e-05_dp, 2.1531263087126700e-05_dp, 1.5250493813567800e-05_dp, 9.6984619659679100e-06_dp, &
+         & 4.2676844849154299e-06_dp, 3.6854463445479298e-06_dp, 5.4534003943729203e-06_dp, 7.0941578691474703e-06_dp, &
+         & 7.9922712465929601e-06_dp, 8.4867852798708992e-06_dp, 8.7448690777591798e-06_dp, 8.8629032148901405e-06_dp, &
+         & 8.8994018838661793e-06_dp, 8.8907026345452795e-06_dp, 8.8594276981268598e-06_dp, 8.8193905938283007e-06_dp, &
+         & 8.7786889224617005e-06_dp, 8.7417448249027496e-06_dp, 8.7106411861270806e-06_dp, 8.6859860566335101e-06_dp, &
+         & 8.6674854458124207e-06_dp, 8.6543403732264307e-06_dp, 8.6455284993292008e-06_dp, 8.6399979508655599e-06_dp, &
+         & 8.6367903193718104e-06_dp, 8.6351074486401592e-06_dp, 8.6343366625385392e-06_dp, 8.6340472122969897e-06_dp, &
+         & 8.6339684450820204e-06_dp, 8.6339568134974292e-06_dp, 8.6339559217662992e-06_dp, 8.6339399523183096e-06_dp, &
+         & 8.6338317153433797e-06_dp, 8.6334336444338095e-06_dp, 8.6323710455360503e-06_dp, 8.6300380139903205e-06_dp, &
+         & 8.6255412199420806e-06_dp, 8.6176319804565099e-06_dp, 8.6046123577432405e-06_dp, 8.5841983725742904e-06_dp, &
+         & 8.5533288753936193e-06_dp, 8.5079268821175396e-06_dp, 8.4426542095172897e-06_dp, 8.3507419326167598e-06_dp, &
+         & 8.2239993055566208e-06_dp, 8.0530645192311601e-06_dp, 7.8278674564558093e-06_dp, 7.5382630413400901e-06_dp, &
+         & 7.1750858445796001e-06_dp, 6.7324025749826399e-06_dp, 6.2116825034763704e-06_dp, 5.6267976802359996e-06_dp, &
+         & 5.0054461233628402e-06_dp, 4.3817846453464401e-06_dp, 3.7846573306410400e-06_dp, 3.2409916173037299e-06_dp, &
+         & 2.7953248924461600e-06_dp, 2.4810077299264300e-06_dp, 2.2469177629602701e-06_dp, 2.0263580395862799e-06_dp, &
+         & 1.8011894589164999e-06_dp, 1.5306688148086799e-06_dp, 1.1629625795706000e-06_dp, 7.7667805342684904e-07_dp, &
+         & 6.8499072014560603e-07_dp, 5.4588766218444096e-07_dp, 4.8315032685764002e-07_dp, 5.2473540534947503e-07_dp, &
+         & 4.4911875463071701e-07_dp, 5.0099929538305300e-07_dp, 4.8733480539908701e-07_dp, 3.5527136788005001e-15_dp, &
+         & 3.8958706483072103e-07_dp, 5.0328735312632499e-07_dp, 3.5622920080413699e-07_dp, 6.3047374609936902e-07_dp, &
+         & 1.1375165200888700e-06_dp, 1.4388645723784100e-06_dp, 1.5002245881135000e-06_dp, 1.3389480173486801e-06_dp, &
+         & 1.0177491844842700e-06_dp, 6.1699737941012202e-07_dp, 3.5527136788005001e-15_dp, 3.5527136788005001e-15_dp, &
+         & 3.5750751692376102e-07_dp, 3.3419620493191402e-07_dp, 3.5527136788005001e-15_dp, 3.5527136788005001e-15_dp, &
+         & 7.1054273576010003e-15_dp, 0.0000000000000000e+00_dp, 3.5527136788005001e-15_dp, 3.5527136788005001e-15_dp, &
+         & 3.5527136788005001e-15_dp, 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, 3.5527136788005001e-15_dp, &
+         & 7.1054273576010003e-15_dp, 3.5527136788005001e-15_dp, 7.1054273576010003e-15_dp, 3.5527136788005001e-15_dp, &
+         & 3.5527136788005001e-15_dp, 3.5527136788005001e-15_dp, 3.5527136788005001e-15_dp, 3.5527136788005001e-15_dp, &
+         & 3.5527136788005001e-15_dp &
+         &]
+      case (29)
+         out = [&
+         & 29.0000000000000000_dp, 28.9999999789295018_dp, 28.9999993273880001_dp, 28.9999949130916015_dp, &
+         & 28.9999786855689017_dp, 28.9999354281654007_dp, 28.9998407564082008_dp, 28.9996594333865012_dp, &
+         & 28.9993440633069994_dp, 28.9988342129963996_dp, 28.9980559982089012_dp, 28.9969221576055993_dp, &
+         & 28.9953326227013015_dp, 28.9931755774485005_dp, 28.9903289869944985_dp, 28.9866625619831986_dp, &
+         & 28.9820401130160015_dp, 28.9763222398361009_dp, 28.9693692916302012_dp, 28.9610445285788991_dp, &
+         & 28.9512174102945004_dp, 28.9397669338340009_dp, 28.9265849422679011_dp, 28.9115793240343990_dp, &
+         & 28.8946770233241992_dp, 28.8758267824978994_dp, 28.8550015391926991_dp, 28.8322004037142996_dp, &
+         & 28.8074501470622018_dp, 28.7808061370967003_dp, 28.7523526704667987_dp, 28.7222026613227008_dp, &
+         & 28.6904966645591983_dp, 28.6574012310085990_dp, 28.6231066138433015_dp, 28.5878238683180008_dp, &
+         & 28.5517814094933016_dp, 28.5152211132562989_dp, 28.4783940634202999_dp, 28.4415560607932996_dp, &
+         & 28.4049630180978987_dp, 28.3688663671884989_dp, 28.3335086022360016_dp, 28.2991190749683987_dp, &
+         & 28.2659101464324003_dp, 28.2340737850682011_dp, 28.2037786841741998_dp, 28.1751679540575992_dp, &
+         & 28.1483574261723000_dp, 28.1234345889914010_dp, 28.1004581587446012_dp, 28.0794582727627002_dp, &
+         & 28.0604372791704009_dp, 28.0433710841111008_dp, 28.0282110065531995_dp, 28.0148860809996982_dp, &
+         & 28.0033057400743992_dp, 27.9933628020131984_dp, 27.9849366826080015_dp, 27.9778967472359987_dp, &
+         & 27.9721057163920008_dp, 27.9674230377667996_dp, 27.9637081395202003_dp, 27.9608234830619011_dp, &
+         & 27.9586373394309007_dp, 27.9570262212013994_dp, 27.9558769116286996_dp, 27.9550880442628014_dp, &
+         & 27.9545711992147012_dp, 27.9542514962950008_dp, 27.9540676799401986_dp, 27.9539717057474988_dp, &
+         & 27.9539278530927007_dp, 27.9539114022451010_dp, 27.9539069271964991_dp, 27.9539062666880014_dp, &
+         & 27.9539061800432016_dp, 27.9539041613235000_dp, 27.9538904841850986_dp, 27.9538402053539983_dp, &
+         & 27.9537061787309007_dp, 27.9534128560202006_dp, 27.9528510745114005_dp, 27.9518740271667987_dp, &
+         & 27.9502945781765000_dp, 27.9478840507620987_dp, 27.9443725741046016_dp, 27.9394510337880995_dp, &
+         & 27.9327746261533001_dp, 27.9239679725617016_dp, 27.9126317059311013_dp, 27.8983503999942002_dp, &
+         & 27.8807016722991996_dp, 27.8592662553117982_dp, 27.8336387959903000_dp, 27.8034391124555995_dp, &
+         & 27.7683236064626016_dp, 27.7279965023966994_dp, 27.6822205586545991_dp, 27.6308268781864008_dp, &
+         & 27.5737234360109014_dp, 27.5109019481573007_dp, 27.4424427345227997_dp, 27.3685172821125988_dp, &
+         & 27.2893882968760018_dp, 27.2054071396336994_dp, 27.1170086676434003_dp, 27.0247036372963017_dp, &
+         & 26.9290689518781008_dp, 26.8307361475416997_dp, 26.7303785891194998_dp, 26.6286978878748002_dp, &
+         & 26.5264100539518992_dp, 26.4242318607590008_dp, 26.3228678348623006_dp, 26.2229982037967986_dp, &
+         & 26.1252680466544014_dp, 26.0302778082056996_dp, 25.9385752638393008_dp, 25.8506489638606993_dp, &
+         & 25.7669231427313008_dp, 25.6877540503788993_dp, 25.6134276459794989_dp, 25.5441585861820997_dp, &
+         & 25.4800904362767007_dp, 25.4212970314640003_dp, 25.3677849140745018_dp, 25.3194967699632016_dp, &
+         & 25.2763157826524001_dp, 25.2380708168992989_dp, 25.2045423343590009_dp, 25.1754689332630015_dp, &
+         & 25.1505543920910988_dp, 25.1294750847631008_dp, 25.1118876227186014_dp, 25.0974365683033014_dp, &
+         & 25.0857620551143015_dp, 25.0765071453961994_dp, 25.0693247531802008_dp, 25.0638839654838002_dp, &
+         & 25.0598756031712000_dp, 25.0570168783672003_dp, 25.0550550266226004_dp, 25.0537698189426017_dp, &
+         & 25.0529748905357010_dp, 25.0525178585610000_dp, 25.0522792388263014_dp, 25.0521702097049008_dp, &
+         & 25.0521293088271015_dp, 25.0521181827691990_dp, 25.0521165405853985_dp, 25.0521163956118009_dp, &
+         & 25.0521135549258993_dp, 25.0520943088522010_dp, 25.0520235581251001_dp, 25.0518349617075984_dp, &
+         & 25.0514222182145012_dp, 25.0506317464749984_dp, 25.0492570513593016_dp, 25.0470350224782017_dp, &
+         & 25.0436443689814006_dp, 25.0387063431064014_dp, 25.0317878478333000_dp, 25.0224069593853997_dp, &
+         & 25.0100408230979987_dp, 24.9941358016594002_dp, 24.9741196691726017_dp, 24.9494155553526014_dp, &
+         & 24.9194572553020990_dp, 24.8837054368804012_dp, 24.8416642060158992_dp, 24.7928974373648998_dp, &
+         & 24.7370442503716994_dp, 24.6738330148663998_dp, 24.6030933096029010_dp, 24.5247653321900003_dp, &
+         & 24.4389063664422999_dp, 24.3456940459138984_dp, 24.2454262993856986_dp, 24.1385180123375989_dp, &
+         & 24.0254945749719013_dp, 23.9069826015634987_dp, 23.7836981917002994_dp, 23.6564331606714013_dp, &
+         & 23.5260396981372004_dp, 23.3934139284863001_dp, 23.2594788501015017_dp, 23.1251671284476004_dp, &
+         & 22.9914042092215993_dp, 22.8590921984378994_dp, 22.7290949200546990_dp, 22.6022245040081984_dp, &
+         & 22.4792297783005992_dp, 22.3607866440058984_dp, 22.2474905123360998_dp, 22.1398507906720994_dp, &
+         & 22.0382873302718991_dp, 21.9431286982540001_dp, 21.8546121110152995_dp, 21.7728848614438988_dp, &
+         & 21.6980070814712001_dp, 21.6299556974818010_dp, 21.5686294527315994_dp, 21.5138548839845001_dp, &
+         & 21.4653931467548986_dp, 21.4229475841736985_dp, 21.3861719290032006_dp, 21.3546790178165011_dp, &
+         & 21.3280498822708005_dp, 21.3058430663735017_dp, 21.2876040023440005_dp, 21.2728742628524010_dp, &
+         & 21.2612004957756007_dp, 21.2521428407808983_dp, 21.2452826264735002_dp, 21.2402291536866983_dp, &
+         & 21.2366253854973017_dp, 21.2341523879386003_dp, 21.2325323968181010_dp, 21.2315304245694989_dp, &
+         & 21.2309543651895005_dp, 21.2306536030733994_dp, 21.2305161807333000_dp, 21.2304646286029985_dp, &
+         & 21.2304506051485014_dp, 21.2304485353149985_dp, 21.2304483692888013_dp, 21.2304453052623003_dp, &
+         & 21.2304245460254002_dp, 21.2303482327750004_dp, 21.2301448089050986_dp, 21.2296996168694996_dp, &
+         & 21.2288470060240009_dp, 21.2273642621694982_dp, 21.2249676291852012_dp, 21.2213106465536008_dp, &
+         & 21.2159849731621009_dp, 21.2085238066436013_dp, 21.1984079377399013_dp, 21.1850744001451012_dp, &
+         & 21.1679275881252984_dp, 21.1463526182117008_dp, 21.1197306101564983_dp, 21.0874554605651987_dp, &
+         & 21.0489515862543008_dp, 21.0036920309326014_dp, 20.9512162666157984_dp, 20.8911469886201999_dp, &
+         & 20.8232052073215002_dp, 20.7472229860111987_dp, 20.6631532633977990_dp, 20.5710763281147990_dp, &
+         & 20.4712026723488982_dp, 20.3638721289325986_dp, 20.2495493743547996_dp, 20.1288160420933018_dp, &
+         & 20.0023598223843990_dp, 19.8709610177909006_dp, 19.7354770778793984_dp, 19.5968256567222987_dp, &
+         & 19.4559667334080011_dp, 19.3138843179291015_dp, 19.1715682392741016_dp, 19.0299964813114002_dp, &
+         & 18.8901184933904993_dp, 18.7528398532638008_dp, 18.6190085977418995_dp, 18.4894034620763001_dp, &
+         & 18.3647241862957991_dp, 18.2455839619433995_dp, 18.1325040130615989_dp, 18.0259102372613000_dp, &
+         & 17.9261317806610982_dp, 17.8334013861624996_dp, 17.7478573371775994_dp, 17.6695468158063989_dp, &
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+         & 5.8664014446208099e-07_dp, 5.5922946273767604e-07_dp, 4.7533011127143302e-07_dp, 3.9791013506373903e-07_dp, &
+         & -7.1054273576010003e-15_dp, -3.5527136788005001e-15_dp, -7.1054273576010003e-15_dp, -3.5527136788005001e-15_dp, &
+         & -7.1054273576010003e-15_dp, -3.5527136788005001e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -3.5527136788005001e-15_dp, -3.5527136788005001e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp &
+         &]
+      case (30)
+         out = [&
+         & 30.0000000000000000_dp, 29.9999999778409006_dp, 29.9999992926375008_dp, 29.9999946502767010_dp, &
+         & 29.9999775843594989_dp, 29.9999320920613997_dp, 29.9998325290759986_dp, 29.9996418379391017_dp, &
+         & 29.9993101740375998_dp, 29.9987739816213015_dp, 29.9979555585482984_dp, 29.9967631337736016_dp, &
+         & 29.9950914662618011_dp, 29.9928229586411987_dp, 29.9898292640611999_dp, 29.9859733509181012_dp, &
+         & 29.9811119777930983_dp, 29.9750985204428986_dp, 29.9677860841634995_dp, 29.9590308283172995_dp, &
+         & 29.9486954251394017_dp, 29.9366525718359000_dp, 29.9227884731483016_dp, 29.9070062106587002_dp, &
+         & 29.8892289149566004_dp, 29.8694026573587017_dp, 29.8474989793604983_dp, 29.8235169808431984_dp, &
+         & 29.7974848928546017_dp, 29.7694610682029008_dp, 29.7395343337476987_dp, 29.7078236625190009_dp, &
+         & 29.6744771416755988_dp, 29.6396702334022990_dp, 29.6036033492858017_dp, 29.5664987832336017_dp, &
+         & 29.5285970720901005_dp, 29.4901528751532993_dp, 29.4514304823049002_dp, 29.4126990742223988_dp, &
+         & 29.3742278663551986_dp, 29.3362812706941014_dp, 29.2991142060173999_dp, 29.2629676788387982_dp, &
+         & 29.2280647445950983_dp, 29.1946069427771988_dp, 29.1627712818097997_dp, 29.1327078306031986_dp, &
+         & 29.1045379546885989_dp, 29.0783532164384013_dp, 29.0542149415236999_dp, 29.0321544377895009_dp, &
+         & 29.0121738382504013_dp, 28.9942475269717015_dp, 28.9783240951570988_dp, 28.9643287647679983_dp, &
+         & 28.9521662084234990_dp, 28.9417236871791985_dp, 28.9328744221241010_dp, 28.9254811116659987_dp, &
+         & 28.9193995040617011_dp, 28.9144819343169992_dp, 28.9105807362093010_dp, 28.9075514439577006_dp, &
+         & 28.9052557040453983_dp, 28.9035638258447989_dp, 28.9023569098938005_dp, 28.9015285046991011_dp, &
+         & 28.9009857565041983_dp, 28.9006500311651990_dp, 28.9004570026982996_dp, 28.9003562187173983_dp, &
+         & 28.9003101683766985_dp, 28.9002928930926011_dp, 28.9002881937765004_dp, 28.9002875001664989_dp, &
+         & 28.9002874091795015_dp, 28.9002852892913999_dp, 28.9002709267222997_dp, 28.9002181281686994_dp, &
+         & 28.9000773848405004_dp, 28.8997693625325986_dp, 28.8991794285693011_dp, 28.8981534208442987_dp, &
+         & 28.8964948307474998_dp, 28.8939635337454988_dp, 28.8902761596463016_dp, 28.8851081500793008_dp, &
+         & 28.8780975045475010_dp, 28.8688501697036983_dp, 28.8569469804345005_dp, 28.8419520169222992_dp, &
+         & 28.8234221998640017_dp, 28.8009179067708985_dp, 28.7740143556647006_dp, 28.7423134681084989_dp, &
+         & 28.7054558910141004_dp, 28.6631328262868017_dp, 28.6150972905154006_dp, 28.5611744066337998_dp, &
+         & 28.5012703205531004_dp, 28.4353793441777007_dp, 28.3635889581423015_dp, 28.2860823677286000_dp, &
+         & 28.2031383953394013_dp, 28.1151286097321993_dp, 28.0225117281277001_dp, 27.9258254701924997_dp, &
+         & 27.8256761780843007_dp, 27.7227266295980002_dp, 27.6176825499832006_dp, 27.5112783651326005_dp, &
+         & 27.4042627334785998_dp, 27.2973843508511997_dp, 27.1913784510586005_dp, 27.0869543368220000_dp, &
+         & 26.9847841828871005_dp, 26.8854932658332011_dp, 26.7896517004629011_dp, 26.6977677043613006_dp, &
+         & 26.6102823707692018_dp, 26.5275659034143985_dp, 26.4499152520780001_dp, 26.3775530806776004_dp, &
+         & 26.3106279969852999_dp, 26.2492159719391012_dp, 26.1933228748501001_dp, 26.1428880474514003_dp, &
+         & 26.0977888341382993_dp, 26.0578459778267018_dp, 26.0228297808370002_dp, 25.9924669185185984_dp, &
+         & 25.9664477805490996_dp, 25.9444342016438014_dp, 25.9260674306249008_dp, 25.9109761753217001_dp, &
+         & 25.8987845516180002_dp, 25.8891197591484001_dp, 25.8816193046944996_dp, 25.8759375981017001_dp, &
+         & 25.8717517552220002_dp, 25.8687664583402004_dp, 25.8667177467705010_dp, 25.8653756384080005_dp, &
+         & 25.8645455161593993_dp, 25.8640682501759009_dp, 25.8638190661620015_dp, 25.8637052100649996_dp, &
+         & 25.8636624984108003_dp, 25.8636508797767988_dp, 25.8636491648897007_dp, 25.8636490134977990_dp, &
+         & 25.8636460470481993_dp, 25.8636259489068010_dp, 25.8635520658848996_dp, 25.8633551198905991_dp, &
+         & 25.8629241034048007_dp, 25.8620986361320000_dp, 25.8606630817168011_dp, 25.8583426832626984_dp, &
+         & 25.8548019300923002_dp, 25.8496453154286989_dp, 25.8424205848494992_dp, 25.8326245078578012_dp, &
+         & 25.8197111293842987_dp, 25.8031023748166000_dp, 25.7822007925562993_dp, 25.7564041247537006_dp, &
+         & 25.7251213038190016_dp, 25.6877893850829011_dp, 25.6438908512479991_dp, 25.5929706693979995_dp, &
+         & 25.5346524534842985_dp, 25.4686530904180017_dp, 25.3947952298235009_dp, 25.3130171164692008_dp, &
+         & 25.2233793565374995_dp, 25.1260683462032013_dp, 25.0213962419060998_dp, 24.9097975028793002_dp, &
+         & 24.7918221750298997_dp, 24.6681262012722016_dp, 24.5394591318659998_dp, 24.4066496697823005_dp, &
+         & 24.2705895256524009_dp, 24.1322160814995001_dp, 23.9924943778897983_dp, 23.8523989470042999_dp, &
+         & 23.7128960109953013_dp, 23.5749265438138984_dp, 23.4393906483036005_dp, 23.3071336255496000_dp, &
+         & 23.1789340138382016_dp, 23.0554937606958994_dp, 22.9374305781716998_dp, 22.8252724335430983_dp, &
+         & 22.7194540554501998_dp, 22.6203152930015001_dp, 22.5281011501358002_dp, 22.4429633224814999_dp, &
+         & 22.3649630804905009_dp, 22.2940753627190986_dp, 22.2301939608919987_dp, 22.1731376903263993_dp, &
+         & 22.1226574440725017_dp, 22.0784440268777011_dp, 22.0401366567962000_dp, 22.0073320093515008_dp, &
+         & 21.9795936631707001_dp, 21.9564617885495004_dp, 21.9374629031084005_dp, 21.9221195032339011_dp, &
+         & 21.9099593680148992_dp, 21.9005243254984983_dp, 21.8933782707550009_dp, 21.8881142326080003_dp, &
+         & 21.8843603017269999_dp, 21.8817842573138996_dp, 21.8800967624783986_dp, 21.8790530386120992_dp, &
+         & 21.8784529750769998_dp, 21.8781396803033985_dp, 21.8779965316142011_dp, 21.8779428313206985_dp, &
+         & 21.8779282235126011_dp, 21.8779260674297014_dp, 21.8779258944852018_dp, 21.8779227027815999_dp, &
+         & 21.8779010785126005_dp, 21.8778215853084994_dp, 21.8776096848119010_dp, 21.8771459416972007_dp, &
+         & 21.8762578025921002_dp, 21.8747132725285987_dp, 21.8722167705094996_dp, 21.8684073972086992_dp, &
+         & 21.8628597921427996_dp, 21.8550876939218988_dp, 21.8445502444366007_dp, 21.8306609954233011_dp, &
+         & 21.8127994839261987_dp, 21.7903251430855001_dp, 21.7625932093488998_dp, 21.7289721813222982_dp, &
+         & 21.6888622855020010_dp, 21.6417143179868994_dp, 21.5870481677415000_dp, 21.5244702947303992_dp, &
+         & 21.4536894426343991_dp, 21.3745299155233006_dp, 21.2869418413951017_dp, 21.1910079784801013_dp, &
+         & 21.0869467829609007_dp, 20.9751116351592017_dp, 20.8559862987286984_dp, 20.7301768479804984_dp, &
+         & 20.5984004298666008_dp, 20.4614713232029004_dp, 20.3202848189317997_dp, 20.1757994773351008_dp, &
+         & 20.0290183289628985_dp, 19.8809695822654007_dp, 19.7326873857149998_dp, 19.5851931650418010_dp, &
+         & 19.4394780143330017_dp, 19.2964865606920988_dp, 19.1571026458389007_dp, 19.0221370778873009_dp, &
+         & 18.8923176091523004_dp, 18.7682811995301009_dp, 18.6505685380045989_dp, 18.5396207236743997_dp, &
+         & 18.4357779561002992_dp, 18.3392800534839004_dp, 18.2502686042873989_dp, 18.1687905596077997_dp, &
+         & 18.0948030852183983_dp, 18.0281795088346009_dp, 17.9687162155561992_dp, 17.9161403591767012_dp, &
+         & 17.8701182668239014_dp, 17.8302644179710015_dp, 17.7961508760059992_dp, 17.7673170418628992_dp, &
+         & 17.7432795859956016_dp, 17.7235423989999994_dp, 17.7076063846060983_dp, 17.6949789038841985_dp, &
+         & 17.6851826686576992_dp, 17.6777638774140016_dp, 17.6722993902348016_dp, 17.6684027516388014_dp, &
+         & 17.6657288923222993_dp, 17.6639773723847000_dp, 17.6628940687838991_dp, 17.6622712568076992_dp, &
+         & 17.6619460870319003_dp, 17.6617975129523010_dp, 17.6617417774715015_dp, 17.6617266160492008_dp, &
+         & 17.6617243782542985_dp, 17.6617242056540000_dp, 17.6617211063068993_dp, 17.6617001077692990_dp, &
+         & 17.6616229148517014_dp, 17.6614171463201011_dp, 17.6609668241069997_dp, 17.6601043924110002_dp, &
+         & 17.6586045827064986_dp, 17.6561804008859013_dp, 17.6524814667263996_dp, 17.6470948828852983_dp, &
+         & 17.6395487495949013_dp, 17.6293183710285000_dp, 17.6158351191724982_dp, 17.5984978309958997_dp, &
+         & 17.5766865159768990_dp, 17.5497780463829010_dp, 17.5171633965384004_dp, 17.4782658957607993_dp, &
+         & 17.4325598701547015_dp, 17.3795889793114000_dp, 17.3189835134758994_dp, 17.2504759123138989_dp, &
+         & 17.1739138034956014_dp, 17.0892699404620991_dp, 16.9966485428220011_dp, 16.8962877045429991_dp, &
+         & 16.7885577249662994_dp, 16.6739554224642994_dp, 16.5530946943855000_dp, 16.4266937727965008_dp, &
+         & 16.2955597773676004_dp, 16.1605712715826009_dp, 16.0226595783663015_dp, 15.8827896047161996_dp, &
+         & 15.7419408671967993_dp, 15.6010893122909007_dp, 15.4611904025975004_dp, 15.3231638080136996_dp, &
+         & 15.1878799152230997_dp, 15.0561482602990004_dp, 14.9287079044487996_dp, 14.8062197133876996_dp, &
+         & 14.6892604640362006_dp, 14.5783186831841007_dp, 14.4737921156203999_dp, 14.3759867186494006_dp, &
+         & 14.2851170819350006_dp, 14.2013081738103004_dp, 14.1245983165021993_dp, 14.0549432929401998_dp, &
+         & 13.9922214870458994_dp, 13.9362399577148004_dp, 13.8867413438907992_dp, 13.8434114937890005_dp, &
+         & 13.8058877049346993_dp, 13.7737674528873999_dp, 13.7466174752568993_dp, 13.7239830643160996_dp, &
+         & 13.7053974070730007_dp, 13.6903907974662005_dp, 13.6784995330928005_dp, 13.6692743004440000_dp, &
+         & 13.6622878498292000_dp, 13.6571417655973004_dp, 13.6534721500347001_dp, 13.6509540609653008_dp, &
+         & 13.6493045734366998_dp, 13.6482843740737003_dp, 13.6476978411904994_dp, 13.6473916124931005_dp, &
+         & 13.6472516927765000_dp, 13.6471992038505991_dp, 13.6471849255703006_dp, 13.6471828181253994_dp, &
+         & 13.6471826585559999_dp, 13.6471798318001998_dp, 13.6471606801086995_dp, 13.6470902763838993_dp, &
+         & 13.6469026052806992_dp, 13.6464918885073008_dp, 13.6457053046640997_dp, 13.6443373909326997_dp, &
+         & 13.6421263770999008_dp, 13.6387526598392004_dp, 13.6338395763066007_dp, 13.6269565800519992_dp, &
+         & 13.6176248580916006_dp, 13.6053253551488993_dp, 13.5895090896810000_dp, 13.5696095576118001_dp, &
+         & 13.5450569263129008_dp, 13.5152936275250006_dp, 13.4797908692486992_dp, 13.4380655100060995_dp, &
+         & 13.3896966816071004_dp, 13.3343415156448994_dp, 13.2717493299970002_dp, 13.2017736678534998_dp, &
+         & 13.1243816533719002_dp, 13.0396602316856001_dp, 12.9478189902977991_dp, 12.8491894052717992_dp, &
+         & 12.7442205095701997_dp, 12.6334711333221001_dp, 12.5175990090806000_dp, 12.3973471634052004_dp, &
+         & 12.2735281246841001_dp, 12.1470065615532992_dp, 12.0186810213211999_dp, 11.8894654574779999_dp, &
+         & 11.7602712141638008_dp, 11.6319900709059993_dp, 11.5054788461514992_dp, 11.3815459232683001_dp, &
+         & 11.2609399140188007_dp, 11.1443405310049002_dp, 11.0323516194400000_dp, 10.9254962111353002_dp, &
+         & 10.8242134132524992_dp, 10.7288569273415000_dp, 10.6396950018110008_dp, 10.5569116430438008_dp, &
+         & 10.4806089377035008_dp, 10.4108103648032007_dp, 10.3474649970999995_dp, 10.2904525059534002_dp, &
+         & 10.2395888920058002_dp, 10.1946328666392994_dp, 10.1552928069757993_dp, 10.1212342009545004_dp, &
+         & 10.0920874893669001_dp, 10.0674561992756004_dp, 10.0469252487743006_dp, 10.0300692875987991_dp, &
+         & 10.0164609230024997_dp, 10.0056786671393994_dp, 9.9973144326513506_dp, 9.9909803989092794_dp, &
+         & 9.9863150738525306_dp, 9.9829883866696996_dp, 9.9807056651788493_dp, 9.9792103785768198_dp, &
+         & 9.9782855604507805_dp, 9.9777538671713302_dp, 9.9774762711003007_dp, 9.9773494341893691_dp, &
+         & 9.9773018531277096_dp, 9.9772889099103992_dp, 9.9772869995180908_dp, 9.9772868561043406_dp, &
+         & 9.9772843318595203_dp, 9.9772672297257206_dp, 9.9772043604161293_dp, 9.9770367734843592_dp, &
+         & 9.9766700113763100_dp, 9.9759676096058296_dp, 9.9747461005650209_dp, 9.9727717461319401_dp, &
+         & 9.9697591868024205_dp, 9.9653721519221499_dp, 9.9592263257984701_dp, 9.9508944070603995_dp, &
+         & 9.9399133329448404_dp, 9.9257935662352494_dp, 9.9080302614369096_dp, 9.8861160408652307_dp, &
+         & 9.8595550245918400_dp, 9.8278776760524806_dp, 9.7906559541571596_dp, 9.7475182101287192_dp, &
+         & 9.6981632399356403_dp, 9.6423729066945896_dp, 9.5800227850662392_dp, 9.5110903515034799_dp, &
+         & 9.4356603466012405_dp, 9.3539270615711505_dp, 9.2661934401618993_dp, 9.1728670290705594_dp, &
+         & 9.0744529434848094_dp, 8.9715441314731397_dp, 8.8648093163102999_dp, 8.7549790675975494_dp, &
+         & 8.6428305008181692_dp, 8.5291711325158399_dp, 8.4148224261838394_dp, 8.3006035528651694_dp, &
+         & 8.1873158601906493_dp, 8.0757284938555909_dp, 7.9665655471142003_dp, 7.8604950294282103_dp, &
+         & 7.7581198498533102_dp, 7.6599709108366998_dp, 7.5665023114813899_dp, 7.4780885733428901_dp, &
+         & 7.3950237323678403_dp, 7.3175220913560501_dp, 7.2457203995072001_dp, 7.1796812179984100_dp, &
+         & 7.1193972400270296_dp, 7.0647963559955897_dp, 7.0157472846178797_dp, 6.9720656238565102_dp, &
+         & 6.9335202074826601_dp, 6.8998396802649999_dp, 6.8707192249731399_dp, 6.8458273862398098_dp, &
+         & 6.8248129396337198_dp, 6.8073117497654598_dp, 6.7929535503859304_dp, 6.7813685643505099_dp, &
+         & 6.7721938645086599_dp, 6.7650793606886301_dp, 6.7596932855432801_dp, 6.7557270453458003_dp, &
+         & 6.7528993025805297_dp, 6.7509591663814499_dp, 6.7496883847569302_dp, 6.7489024585275201_dp, &
+         & 6.7484506296811198_dp, 6.7482147345059502_dp, 6.7481069520982899_dp, 6.7480665192035998_dp, &
+         & 6.7480555204765897_dp, 6.7480538970875399_dp, 6.7480537755898098_dp, 6.7480516420285896_dp, &
+         & 6.7480371868397304_dp, 6.7479840480719497_dp, 6.7478423999000201_dp, 6.7475324077262702_dp, &
+         & 6.7469387409420101_dp, 6.7459063660643004_dp, 6.7442378185455798_dp, 6.7416921230941300_dp, &
+         & 6.7379854988048198_dp, 6.7327939453881003_dp, 6.7257577588686601_dp, 6.7164879681913003_dp, &
+         & 6.7045746178323702_dp, 6.6895967464582498_dp, 6.6711338299389302_dp, 6.6487783721449603_dp, &
+         & 6.6221492439020704_dp, 6.5909052954168903_dp, 6.5547587073273004_dp, 6.5134875072879099_dp, &
+         & 6.4669466690488502_dp, 6.4150772342526103_dp, 6.3579129563910302_dp, 6.2955840614516498_dp, &
+         & 6.2283178474520398_dp, 6.1564359987253203_dp, 6.0803486608423096_dp, 6.0005454963736504_dp, &
+         & 5.9175841068194401_dp, 5.8320763483547804_dp, 5.7446731763345404_dp, 5.6560487164471596_dp, &
+         & 5.5668842738614996_dp, 5.4778529555103601_dp, 5.3896054997362901_dp, 5.3027577913048303_dp, &
+         & 5.2178804008604498_dp, 5.1354903402955401_dp, 5.0560450828439203_dp, 4.9799387705578999_dp, &
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+         & 0.0776134870137177_dp, 0.0767309225206319_dp, 0.0759802273919483_dp, 0.0753491339658794_dp, &
+         & 0.0748254135630226_dp, 0.0743970134179825_dp, 0.0740521894812893_dp, 0.0737796351812854_dp, &
+         & 0.0735686049542252_dp, 0.0734090301819279_dp, 0.0732916242299240_dp, 0.0732079726474240_dp, &
+         & 0.0731506043363161_dp, 0.0731130396487352_dp, 0.0730898119220420_dp, 0.0730764598595037_dp, &
+         & 0.0730694893361203_dp, 0.0730663045506681_dp, 0.0730651098445598_dp, 0.0730647848571238_dp, &
+         & 0.0730647368897230_dp, 0.0730647331148973_dp, 0.0730646643573785_dp, 0.0730641985159934_dp, &
+         & 0.0730624860477533_dp, 0.0730579213434623_dp, 0.0730479321442381_dp, 0.0730288037191045_dp, &
+         & 0.0729955457564451_dp, 0.0729418095776779_dp, 0.0728598628339867_dp, 0.0727406281703580_dp, &
+         & 0.0725737912765787_dp, 0.0723479821229240_dp, 0.0720510308517248_dp, 0.0716702966729414_dp, &
+         & 0.0711930641916005_dp, 0.0706069969968262_dp, 0.0699006333257834_dp, 0.0690639035799521_dp, &
+         & 0.0680886449349565_dp, 0.0669690848409665_dp, 0.0657022634554991_dp, 0.0642883654996709_dp, &
+         & 0.0627309350242591_dp, 0.0610369521979912_dp, 0.0592167592573425_dp, 0.0572838326235185_dp, &
+         & 0.0552544090406535_dp, 0.0531469843533827_dp, 0.0509817130802688_dp, 0.0487797441948601_dp, &
+         & 0.0465625326833425_dp, 0.0443511670615742_dp, 0.0421657501023809_dp, 0.0400248639831275_dp, &
+         & 0.0379451427177635_dp, 0.0359409651242828_dp, 0.0340242718032613_dp, 0.0322045006790148_dp, &
+         & 0.0304886283686123_dp, 0.0288812994804353_dp, 0.0273850230637933_dp, 0.0260004147090136_dp, &
+         & 0.0247264638901825_dp, 0.0235608085795853_dp, 0.0225000024350770_dp, 0.0215397634917522_dp, &
+         & 0.0206751968835377_dp, 0.0199009873927132_dp, 0.0192115603979417_dp, 0.0186012119856116_dp, &
+         & 0.0180642105995581_dp, 0.0175948736757832_dp, 0.0171876233167154_dp, 0.0168370252856427_dp, &
+         & 0.0165378155278688_dp, 0.0162849181235210_dp, 0.0160734581044757_dp, 0.0158987719762003_dp, &
+         & 0.0157564181121863_dp, 0.0156421884717659_dp, 0.0155521223660458_dp, 0.0154825222981962_dp, &
+         & 0.0154299712706418_dp, 0.0153913504218970_dp, 0.0153638554626703_dp, 0.0153450101527284_dp, &
+         & 0.0153326750113685_dp, 0.0153250495847495_dp, 0.0153206668877495_dp, 0.0153183790631708_dp, &
+         & 0.0153173338144548_dp, 0.0153169417180727_dp, 0.0153168350595259_dp, 0.0153168193169897_dp, &
+         & 0.0153168180671521_dp, 0.0153167951623452_dp, 0.0153166399795772_dp, 0.0153160695211909_dp, &
+         & 0.0153145489644828_dp, 0.0153112216484317_dp, 0.0153048509157294_dp, 0.0152937767747368_dp, &
+         & 0.0152758904095123_dp, 0.0152486296025067_dp, 0.0152089980599364_dp, 0.0151536113383450_dp, &
+         & 0.0150787714477367_dp, 0.0149805711496960_dp, 0.0148550274110981_dp, 0.0146982414106205_dp, &
+         & 0.0145065800080033_dp, 0.0142768708567935_dp, 0.0140066006570407_dp, 0.0136941037741103_dp, &
+         & 0.0133387270050740_dp, 0.0129409560457496_dp, 0.0125024904901672_dp, 0.0120262570956449_dp, &
+         & 0.0115163554538960_dp, 0.0109779357451387_dp, 0.0104170143162605_dp, 0.0098402386592333_dp, &
+         & 0.0092546181890611_dp, 0.0086672403544803_dp, 0.0080849926221127_dp, 0.0075143096363206_dp, &
+         & 0.0069609615984021_dp, 0.0064298951480843_dp, 0.0059251324772980_dp, 0.0054497288277098_dp, &
+         & 0.0050057836099775_dp, 0.0045944966450691_dp, 0.0042162587365411_dp, 0.0038707649583643_dp, &
+         & 0.0035571394987493_dp, 0.0032740623086518_dp, 0.0030198897860032_dp, 0.0027927639262764_dp, &
+         & 0.0025907065019517_dp, 0.0024116967046126_dp, 0.0022537321863254_dp, 0.0021148745340547_dp, &
+         & 0.0019932809176240_dp, 0.0018872240200345_dp, 0.0017951024617417_dp, 0.0017154438474201_dp, &
+         & 0.0016469023667334_dp, 0.0015882526274886_dp, 0.0015383811286256_dp, 0.0014962765186119_dp, &
+         & 0.0014610195426457_dp, 0.0014317733668179_dp, 0.0014077747777925_dp, 0.0013883265905612_dp, &
+         & 0.0013727914498354_dp, 0.0013605870797591_dp, 0.0013511829198620_dp, 0.0013440979831962_dp, &
+         & 0.0013388996875108_dp, 0.0013352033464073_dp, 0.0013326719684201_dp, 0.0013310160010072_dp, &
+         & 0.0013299926746520_dp, 0.0013294046485903_dp, 0.0013290977286324_dp, 0.0013289575132411_dp, &
+         & 0.0013289049166580_dp, 0.0013288906094040_dp, 0.0013288884976888_dp, 0.0013288883285014_dp, &
+         & 0.0013288852085900_dp, 0.0013288640708922_dp, 0.0013287863689051_dp, 0.0013285792624842_dp, &
+         & 0.0013281261092999_dp, 0.0013272586273949_dp, 0.0013257511971645_dp, 0.0013233178153485_dp, &
+         & 0.0013196122554291_dp, 0.0013142320057291_dp, 0.0013067265230759_dp, 0.0012966102254453_dp, &
+         & 0.0012833804264609_dp, 0.0012665400698317_dp, 0.0012456246552404_dp, 0.0012202321837549_dp, &
+         & 0.0011900543470631_dp, 0.0011549066260308_dp, 0.0011147545562906_dp, 0.0010697332741003_dp, &
+         & 0.0010201576675222_dp, 0.0009665210750036_dp, 0.0009094814766293_dp, 0.0008498354126232_dp, &
+         & 0.0007884812634309_dp, 0.0007263748115847_dp, 0.0006644809514924_dp, 0.0006037258482898_dp, &
+         & 0.0005449537045337_dp, 0.0004888916247197_dp, 0.0004361250161082_dp, 0.0003870847073841_dp, &
+         & 0.0003420456645138_dp, 0.0003011359705631_dp, 0.0002643537517990_dp, 0.0002315891371971_dp, &
+         & 0.0002026482775079_dp, 0.0001772769431128_dp, 0.0001551820703405_dp, 0.0001360504826948_dp, &
+         & 1.1956457039730100e-04_dp, 1.0541488622450900e-04_dp, 9.3309577216871303e-05_dp, 8.2980601092685902e-05_dp, &
+         & 7.4186916013019299e-05_dp, 6.6715160890851193e-05_dp, 6.0378555051698902e-05_dp, 5.5014765937500001e-05_dp, &
+         & 5.0483363228437397e-05_dp, 4.6663266456192800e-05_dp, 4.3450382392507001e-05_dp, 4.0755479844278900e-05_dp, &
+         & 3.8502273813634199e-05_dp, 3.6625674084689301e-05_dp, 3.5070172476281400e-05_dp, 3.3788371560206101e-05_dp, &
+         & 3.2739673585524502e-05_dp, 3.1889146303143400e-05_dp, 3.1206569737207701e-05_dp, 3.0665654460193503e-05_dp, &
+         & 3.0243414666841800e-05_dp, 2.9919677515977101e-05_dp, 2.9676710958881399e-05_dp, 2.9498951786166599e-05_dp, &
+         & 2.9372813905581599e-05_dp, 2.9286555317753499e-05_dp, 2.9230181812778299e-05_dp, 2.9195366732182000e-05_dp, &
+         & 2.9175368684519801e-05_dp, 2.9164932882963499e-05_dp, 2.9160165809116700e-05_dp, 2.9158377699900501e-05_dp, &
+         & 2.9157891308528901e-05_dp, 2.9157819518843600e-05_dp, 2.9157813713709398e-05_dp, 2.9157705931481801e-05_dp, &
+         & 2.9156975713817701e-05_dp, 2.9154291507182998e-05_dp, 2.9147137567520100e-05_dp, 2.9131487277567200e-05_dp, &
+         & 2.9101537847964199e-05_dp, 2.9049526606428300e-05_dp, 2.8965653068979701e-05_dp, 2.8838134259245900e-05_dp, &
+         & 2.8653422873503600e-05_dp, 2.8396615753933899e-05_dp, 2.8052072885031999e-05_dp, 2.7604251808810401e-05_dp, &
+         & 2.7038739361273700e-05_dp, 2.6343432825370900e-05_dp, 2.5509791299782602e-05_dp, 2.4534053231661801e-05_dp, &
+         & 2.3418308199296699e-05_dp, 2.2171322601849400e-05_dp, 2.0809042023728400e-05_dp, 1.9354707109897601e-05_dp, &
+         & 1.7838511762846599e-05_dp, 1.6296676641047701e-05_dp, 1.4769623362553799e-05_dp, 1.3298643949610800e-05_dp, &
+         & 1.1920819545707700e-05_dp, 1.0664340759802801e-05_dp, 9.5496992713606199e-06_dp, 8.5998852235036304e-06_dp, &
+         & 7.8503648168748407e-06_dp, 7.3374352282939998e-06_dp, 7.0538374892237201e-06_dp, 6.9060141640875398e-06_dp, &
+         & 6.7321125705177599e-06_dp, 6.3749697432058400e-06_dp, 5.7491935159248399e-06_dp, 4.8688835789789698e-06_dp, &
+         & 3.8367034669306602e-06_dp, 2.8056396317310798e-06_dp, 1.9277567204767399e-06_dp, 1.3033282293406501e-06_dp, &
+         & 9.3955604896223100e-07_dp, 7.4059156318639897e-07_dp, 5.8924893053813300e-07_dp, 5.0293000697365599e-07_dp, &
+         & 5.7456191981941597e-07_dp, 6.5794706571864502e-07_dp, 6.5332386611771696e-07_dp, 5.5963593226238096e-07_dp, &
+         & 4.1059185207359400e-07_dp, 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, &
+         & 3.5527136788005001e-15_dp, 7.1054273576010003e-15_dp, 3.5527136788005001e-15_dp, 7.1054273576010003e-15_dp, &
+         & 3.5527136788005001e-15_dp, 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, &
+         & 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, 3.5527136788005001e-15_dp, &
+         & 3.5527136788005001e-15_dp, 7.1054273576010003e-15_dp, 3.5527136788005001e-15_dp, 3.5527136788005001e-15_dp, &
+         & 7.1054273576010003e-15_dp, 3.5527136788005001e-15_dp, 7.1054273576010003e-15_dp, 3.5527136788005001e-15_dp, &
+         & 3.5527136788005001e-15_dp &
+         &]
+      case (31)
+         out = [&
+         & 31.0000000000000000_dp, 30.9999999767594012_dp, 30.9999992581150003_dp, 30.9999943891853000_dp, &
+         & 30.9999764903717008_dp, 30.9999287778349988_dp, 30.9998243556955018_dp, 30.9996243578688997_dp, &
+         & 30.9992765069636000_dp, 30.9987141450857990_dp, 30.9978557771353991_dp, 30.9966051517330996_dp, &
+         & 30.9948518888399995_dp, 30.9924726470229999_dp, 30.9893328077711985_dp, 30.9852886398258001_dp, &
+         & 30.9801898936288005_dp, 30.9738827650457011_dp, 30.9662131586535985_dp, 30.9570301741131004_dp, &
+         & 30.9461897342782990_dp, 30.9335582704573007_dp, 30.9190163782517011_dp, 30.9024623563443015_dp, &
+         & 30.8838155402545986_dp, 30.8630193434368998_dp, 30.8400439193795997_dp, 30.8148883610823994_dp, &
+         & 30.7875823590972999_dp, 30.7581872469890989_dp, 30.7267963742474990_dp, 30.6935347618002012_dp, &
+         & 30.6585580143397998_dp, 30.6220504862430012_dp, 30.5842227229436006_dp, 30.5453082258588005_dp, &
+         & 30.5055596146780985_dp, 30.4652442842663014_dp, 30.4246396729954007_dp, 30.3840282737060008_dp, &
+         & 30.3436925268904005_dp, 30.3039097377785005_dp, 30.2649471550287004_dp, 30.2270573393368984_dp, &
+         & 30.1904739364801991_dp, 30.1554079522646994_dp, 30.1220446077639998_dp, 30.0905408332157016_dp, &
+         & 30.0610234389475011_dp, 30.0335879824332999_dp, 30.0082983325429993_dp, 29.9851869155117008_dp, &
+         & 29.9642556122449015_dp, 29.9454772632883994_dp, 29.9287977260637987_dp, 29.9141384187436010_dp, &
+         & 29.9013992763478988_dp, 29.8904620373104990_dp, 29.8811937729271015_dp, 29.8734505678949986_dp, &
+         & 29.8670812577223010_dp, 29.8619311283060007_dp, 29.8578454846161989_dp, 29.8546729992925997_dp, &
+         & 29.8522687581312987_dp, 29.8504969278814016_dp, 29.8492329823680009_dp, 29.8483654354909014_dp, &
+         & 29.8477970437952003_dp, 29.8474454566852003_dp, 29.8472433084865010_dp, 29.8471377629549011_dp, &
+         & 29.8470895369700990_dp, 29.8470714455183987_dp, 29.8470665241841004_dp, 29.8470657978046994_dp, &
+         & 29.8470657025190000_dp, 29.8470634824772993_dp, 29.8470484413521007_dp, 29.8469931483489006_dp, &
+         & 29.8468457556887010_dp, 29.8465231812511007_dp, 29.8459053773398999_dp, 29.8448309007942001_dp, &
+         & 29.8430939648289986_dp, 29.8404431133610011_dp, 29.8365816150393002_dp, 29.8311696277206018_dp, &
+         & 29.8238281358021986_dp, 29.8141446138142001_dp, 29.8016803211698011_dp, 29.7859790860302986_dp, &
+         & 29.7665773916354013_dp, 29.7430155365358004_dp, 29.7148496008468008_dp, 29.6816639135430016_dp, &
+         & 29.6430836806447005_dp, 29.5987874012983987_dp, 29.5485186698833999_dp, 29.4920969408427993_dp, &
+         & 29.4294268241785986_dp, 29.3605054899791007_dp, 29.2854277964866014_dp, 29.2043888228784994_dp, &
+         & 29.1176835864181989_dp, 29.0257038503144003_dp, 28.9289320745676015_dp, 28.8279327138283001_dp, &
+         & 28.7233412079292982_dp, 28.6158511266893001_dp, 28.5062000084990999_dp, 28.3951544652657013_dp, &
+         & 28.2834951142890993_dp, 28.1720018465813986_dp, 28.0614398616609009_dp, 27.9525468038927016_dp, &
+         & 27.8460212377298006_dp, 27.7425126092208991_dp, 27.6426127658879004_dp, 27.5468490497399010_dp, &
+         & 27.4556789386249989_dp, 27.3694861867784986_dp, 27.2885784024825000_dp, 27.2131859950928998_dp, &
+         & 27.1434624216749008_dp, 27.0794856623078992_dp, 27.0212608509238983_dp, 26.9687239843139004_dp, &
+         & 26.9217466253079998_dp, 26.8801415071534002_dp, 26.8436689351104008_dp, 26.8120438687112994_dp, &
+         & 26.7849435545740988_dp, 26.7620155658064007_dp, 26.7428860906800985_dp, 26.7271683013089998_dp, &
+         & 26.7144706235417999_dp, 26.7044047232392003_dp, 26.6965930225813004_dp, 26.6906755639619000_dp, &
+         & 26.6863160490761011_dp, 26.6832068973867003_dp, 26.6810731912717998_dp, 26.6796754043929987_dp, &
+         & 26.6788108443269998_dp, 26.6783137790298994_dp, 26.6780542577033017_dp, 26.6779356783372990_dp, &
+         & 26.6778911948111990_dp, 26.6778790941840995_dp, 26.6778773081558001_dp, 26.6778771504834999_dp, &
+         & 26.6778740609722007_dp, 26.6778531290698986_dp, 26.6777761810513994_dp, 26.6775710648756998_dp, &
+         & 26.6771221680178989_dp, 26.6762624571961986_dp, 26.6747673514038013_dp, 26.6723506979048999_dp, &
+         & 26.6686630727026994_dp, 26.6632925720979017_dp, 26.6557681996745011_dp, 26.6455658827045987_dp, &
+         & 26.6321170732106012_dp, 26.6148198020711000_dp, 26.5930519610093015_dp, 26.5661864898041991_dp, &
+         & 26.5336080489263004_dp, 26.4947306668263991_dp, 26.4490157733670017_dp, 26.3959899740697992_dp, &
+         & 26.3352618914587993_dp, 26.2665374059324996_dp, 26.1896326729174014_dp, 26.1044843754839988_dp, &
+         & 26.0111567877846994_dp, 25.9098453659299999_dp, 25.8008767372089984_dp, 25.6847051123495014_dp, &
+         & 25.5619052862525997_dp, 25.4331625113135011_dp, 25.2992596202632996_dp, 25.1610618440983984_dp, &
+         & 25.0194998205720012_dp, 24.8755513260748984_dp, 24.7302222918882997_dp, 24.5845276829440991_dp, &
+         & 24.4394728163978989_dp, 24.2960356692070008_dp, 24.1551506615385989_dp, 24.0176943060501991_dp, &
+         & 23.8844729905840012_dp, 23.7562130296126988_dp, 23.6335529965500015_dp, 23.5170382506321012_dp, &
+         & 23.4071175072174000_dp, 23.3041412694755010_dp, 23.2083619362168001_dp, 23.1199354152243011_dp, &
+         & 23.0389240938173998_dp, 22.9653010405098996_dp, 22.8989553284534004_dp, 22.8396983806081018_dp, &
+         & 22.7872712379939983_dp, 22.7413526468426994_dp, 22.7015678494090984_dp, 22.6674979481550984_dp, &
+         & 22.6386896954876988_dp, 22.6146655427264989_dp, 22.5949337639879992_dp, 22.5789984547904012_dp, &
+         & 22.5663691930044017_dp, 22.5565701429149996_dp, 22.5491483830675001_dp, 22.5436812464485996_dp, &
+         & 22.5397824781786014_dp, 22.5371070415000005_dp, 22.5353544370717991_dp, 22.5342704424055000_dp, &
+         & 22.5336472260899008_dp, 22.5333218431680002_dp, 22.5331731712332015_dp, 22.5331173989679989_dp, &
+         & 22.5331022275323001_dp, 22.5330999882591989_dp, 22.5330998086418006_dp, 22.5330964937894009_dp, &
+         & 22.5330740351697010_dp, 22.5329914747992994_dp, 22.5327713983285989_dp, 22.5322897621159015_dp, &
+         & 22.5313673549037006_dp, 22.5297632301727013_dp, 22.5271704015721994_dp, 22.5232140433510004_dp, &
+         & 22.5174523798585007_dp, 22.5093803819578007_dp, 22.4984363125957998_dp, 22.4840110781375984_dp, &
+         & 22.4654602465708990_dp, 22.4421184897347992_dp, 22.4133160974255006_dp, 22.3783971015033991_dp, &
+         & 22.3367384447820001_dp, 22.2877695408008982_dp, 22.2309915057156005_dp, 22.1659953113429999_dp, &
+         & 22.0924781162484010_dp, 22.0102570839462004_dp, 21.9192800938105989_dp, 21.8196328859643991_dp, &
+         & 21.7115423458958006_dp, 21.5953758135194001_dp, 21.4716364788327994_dp, 21.3409550874772016_dp, &
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+         & 0.0002923439440679_dp, 0.0002604872257379_dp, 0.0002308696199549_dp, 0.0002033056081672_dp, &
+         & 0.0001780251613361_dp, 0.0001545994895622_dp, 0.0001330494270491_dp, 0.0001133493196939_dp, &
+         & 9.5478811680038702e-05_dp, 7.9414098681951400e-05_dp, 6.5123450703197196e-05_dp, 5.2575114906972003e-05_dp, &
+         & 4.1697763503378797e-05_dp, 3.2386415082186197e-05_dp, 2.4547321700651998e-05_dp, 1.8076453503823600e-05_dp, &
+         & 1.2857651462638799e-05_dp, 8.7644246704598993e-06_dp, 5.6622860959976202e-06_dp, 3.4113202254104601e-06_dp, &
+         &  1.8689135536931200e-06_dp, 8.9265175517994098e-07_dp, 3.4345590904649699e-07_dp, -1.7763568394002501e-14_dp, &
+         & -1.7763568394002501e-14_dp &
+         &]
+      case (32)
+         out = [&
+         & 32.0000000000000000_dp, 31.9999999756516011_dp, 31.9999992227504002_dp, 31.9999941217261998_dp, &
+         & 31.9999753697024012_dp, 31.9999253827772989_dp, 31.9998159829725992_dp, 31.9996064514715997_dp, &
+         & 31.9992420187673012_dp, 31.9986528491534017_dp, 31.9977535620426998_dp, 31.9964433164064985_dp, &
+         & 31.9946064677852995_dp, 31.9921137904565001_dp, 31.9888242410736012_dp, 31.9845872250098999_dp, &
+         & 31.9792453132185983_dp, 31.9726373460254010_dp, 31.9646018510616017_dp, 31.9549806955147986_dp, &
+         & 31.9436228878304007_dp, 31.9303884405989002_dp, 31.9151522042334008_dp, 31.8978075798017002_dp, &
+         & 31.8782700188159005_dp, 31.8564802178944007_dp, 31.8324069172724009_dp, 31.8060492147047000_dp, &
+         & 31.7774383111263994_dp, 31.7466386123561009_dp, 31.7137481228667006_dp, 31.6788980836752998_dp, &
+         & 31.6422518267252002_dp, 31.6040028422365005_dp, 31.5643720823239988_dp, 31.5236045521971988_dp, &
+         & 31.4819652676527006_dp, 31.4397346824502009_dp, 31.3972037097891992_dp, 31.3546684771194002_dp, &
+         & 31.3124249620490005_dp, 31.2707636589041016_dp, 31.2299644208129017_dp, 31.1902916118157982_dp, &
+         & 31.1519896885289995_dp, 31.1152793125894007_dp, 31.0803540747904989_dp, 31.0473778906530988_dp, &
+         & 31.0164831061664010_dp, 30.9877693323129009_dp, 30.9613030082588985_dp, 30.9371176760080004_dp, &
+         & 30.9152149339777012_dp, 30.8955660233309999_dp, 30.8781139889008003_dp, 30.8627763460798015_dp, &
+         & 30.8494481760547004_dp, 30.8380055642392001_dp, 30.8283092907525003_dp, 30.8202086774392008_dp, &
+         & 30.8135454933840016_dp, 30.8081578203352997_dp, 30.8038837810982002_dp, 30.8005650379205989_dp, &
+         & 30.7980499742578999_dp, 30.7961964820411005_dp, 30.7948742875762989_dp, 30.7939667622407001_dp, &
+         & 30.7933721788954990_dp, 30.7930043909819986_dp, 30.7927929281330002_dp, 30.7926825192832005_dp, &
+         & 30.7926320711554986_dp, 30.7926131460925987_dp, 30.7926079979949989_dp, 30.7926072381457985_dp, &
+         & 30.7926071384697018_dp, 30.7926048161337995_dp, 30.7925890819503003_dp, 30.7925312411855998_dp, &
+         & 30.7923770570850017_dp, 30.7920396195232016_dp, 30.7913933500976000_dp, 30.7902693691144016_dp, &
+         & 30.7884524136592006_dp, 30.7856794546823984_dp, 30.7816401156674999_dp, 30.7759789469513017_dp, &
+         & 30.7682995592353983_dp, 30.7581705684510993_dp, 30.7451332531213986_dp, 30.7287107757979001_dp, &
+         & 30.7084187728214992_dp, 30.6837770719589003_dp, 30.6543222553085997_dp, 30.6196207449209012_dp, &
+         & 30.5792820506291001_dp, 30.5329717841853991_dp, 30.4804240129057007_dp, 30.4214525034984007_dp, &
+         & 30.3559603983437007_dp, 30.2839478792191983_dp, 30.2055174142179013_dp, 30.1208762572629993_dp, &
+         & 30.0303359771295000_dp, 29.9343089297873988_dp, 29.8333017440440997_dp, 29.7279060510470998_dp, &
+         & 29.6187868359960014_dp, 29.5066689089442988_dp, 29.3923220682194994_dp, 29.2765455583427006_dp, &
+         & 29.1601524051487999_dp, 29.0439541514400013_dp, 28.9287464289928984_dp, 28.8152957011633006_dp, &
+         & 28.7043274081414985_dp, 28.5965156547809016_dp, 28.4924745055872002_dp, 28.3927508955367998_dp, &
+         & 28.2978191280028000_dp, 28.2080769090038999_dp, 28.1238428558928000_dp, 28.0453554140918015_dp, &
+         & 27.9727731138307014_dp, 27.9061760973423993_dp, 27.8455688439663014_dp, 27.7908840152845009_dp, &
+         & 27.7419873346164003_dp, 27.6986834050880013_dp, 27.6607223584823991_dp, 27.6278072136504989_dp, &
+         & 27.5996018089853017_dp, 27.5757391589991983_dp, 27.5558300711754001_dp, 27.5394718468852986_dp, &
+         & 27.5262568803077983_dp, 27.5157809630336985_dp, 27.5076511004548010_dp, 27.5014926500968997_dp, &
+         & 27.4969556024786002_dp, 27.4937198422945990_dp, 27.4914992517458998_dp, 27.4900445482336018_dp, &
+         & 27.4891447845274008_dp, 27.4886274796115018_dp, 27.4883573910835999_dp, 27.4882339834082003_dp, &
+         & 27.4881876886056986_dp, 27.4881750952664987_dp, 27.4881732365148999_dp, 27.4881730724225015_dp, &
+         & 27.4881698571128013_dp, 27.4881480729075989_dp, 27.4880679917297996_dp, 27.4878545236749012_dp, &
+         & 27.4873873487961013_dp, 27.4864926328499983_dp, 27.4849366512018989_dp, 27.4824216017009988_dp, &
+         & 27.4785838372932005_dp, 27.4729946920678003_dp, 27.4651640096410006_dp, 27.4545464095619991_dp, &
+         & 27.4405502453818002_dp, 27.4225491175097993_dp, 27.3998957064330000_dp, 27.3719375902089013_dp, &
+         & 27.3380346088759012_dp, 27.2975772436958017_dp, 27.2500053983407007_dp, 27.1948269103228988_dp, &
+         & 27.1316350918852009_dp, 27.0601246064711987_dp, 26.9801050332756986_dp, 26.8915115578578003_dp, &
+         & 26.7944123465027992_dp, 26.6890123067433009_dp, 26.5756530937858990_dp, 26.4548093790548009_dp, &
+         & 26.3270815406836007_dp, 26.1931850586114017_dp, 26.0539369964352012_dp, 25.9102400308518988_dp, &
+         & 25.7630645526872009_dp, 25.6134294155767996_dp, 25.4623819494172992_dp, 25.3109778798264990_dp, &
+         & 25.1602617915518998_dp, 25.0112487324367017_dp, 24.8649074701467008_dp, 24.7221457911949010_dp, &
+         & 24.5837980859998986_dp, 24.4506153163618016_dp, 24.3232573342611005_dp, 24.2022874282910010_dp, &
+         & 24.0881689215255008_dp, 23.9812636280088007_dp, 23.8818319840728996_dp, 23.7900346932511013_dp, &
+         & 23.7059357491427001_dp, 23.6295067220512998_dp, 23.5606322089636997_dp, 23.4991163516057995_dp, &
+         & 23.4446903246933012_dp, 23.3970206875961999_dp, 23.3557184790614016_dp, 23.3203489178677010_dp, &
+         & 23.2904415536734994_dp, 23.2655006931360013_dp, 23.2450159080055982_dp, 23.2284724157984002_dp, &
+         & 23.2153611114005010_dp, 23.2051880211810015_dp, 23.1974829513770011_dp, 23.1918071109056001_dp, &
+         & 23.1877595061711013_dp, 23.1849819321361998_dp, 23.1831624195231996_dp, 23.1820370414770984_dp, &
+         & 23.1813900326812998_dp, 23.1810522276079993_dp, 23.1808978798136991_dp, 23.1808399783255012_dp, &
+         & 23.1808242276883014_dp, 23.1808219029262013_dp, 23.1808217164515007_dp, 23.1808182750476988_dp, &
+         & 23.1807949590228013_dp, 23.1807092467352014_dp, 23.1804807683713001_dp, 23.1799807446228989_dp, &
+         & 23.1790231223200003_dp, 23.1773577558728014_dp, 23.1746659379891007_dp, 23.1705585307060993_dp, &
+         & 23.1645768876703002_dp, 23.1561966898224014_dp, 23.1448347381518005_dp, 23.1298586583031991_dp, &
+         & 23.1105993727362993_dp, 23.0863660883705002_dp, 23.0564634344187986_dp, 23.0202102716169996_dp, &
+         & 22.9769595873598007_dp, 22.9261188000034011_dp, 22.8671697291636988_dp, 22.7996874562869998_dp, &
+         & 22.7233573083616989_dp, 22.6379892513998016_dp, 22.5435290787326004_dp, 22.4400659165285994_dp, &
+         & 22.3278357346264009_dp, 22.2072207306333986_dp, 22.0787446340675011_dp, 21.9430641416338013_dp, &
+         & 21.8009568352415002_dp, 21.6533060470082006_dp, 21.5010832207526015_dp, 21.3453283802461016_dp, &
+         & 21.1871293534229004_dp, 21.0276004194029014_dp, 20.8678610396340005_dp, 20.7090153026951000_dp, &
+         & 20.5521326523373986_dp, 20.3982303813779993_dp, 20.2482582653964016_dp, 20.1030855888555990_dp, &
+         & 19.9634906933656993_dp, 19.8301530643717996_dp, 19.7036478775006998_dp, 19.5844428546791995_dp, &
+         & 19.4728972346119988_dp, 19.3692626405304011_dp, 19.2736856260098008_dp, 19.1862116914644005_dp, &
+         & 19.1067905837355987_dp, 19.0352827135760982_dp, 18.9714665464630983_dp, 18.9150468379328984_dp, &
+         & 18.8656635937025001_dp, 18.8229016365308013_dp, 18.7863006563264001_dp, 18.7553656084426983_dp, &
+         & 18.7295773089992998_dp, 18.7084030574523013_dp, 18.6913070977930005_dp, 18.6777607131171983_dp, &
+         & 18.6672517362740003_dp, 18.6592932540782002_dp, 18.6534312859675993_dp, 18.6492512312742988_dp, &
+         & 18.6463829030114994_dp, 18.6445040000417990_dp, 18.6433419126333995_dp, 18.6426738069469984_dp, &
+         & 18.6423249895276015_dp, 18.6421656105883002_dp, 18.6421058218226001_dp, 18.6420895578076014_dp, &
+         & 18.6420871572723001_dp, 18.6420869721198983_dp, 18.6420836473773015_dp, 18.6420611217518015_dp, &
+         & 18.6419783150967007_dp, 18.6417575823950017_dp, 18.6412745114255998_dp, 18.6403493618058995_dp, &
+         & 18.6387404846717999_dp, 18.6361400197111990_dp, 18.6321721170238987_dp, 18.6263938745344007_dp, &
+         & 18.6182991162010012_dp, 18.6073250607657990_dp, 18.5928618443993017_dp, 18.5742647632804996_dp, &
+         & 18.5508689952243984_dp, 18.5220064459450988_dp, 18.4870242503127997_dp, 18.4453043488348989_dp, &
+         & 18.3962834628806000_dp, 18.3394727181685013_dp, 18.2744761240418008_dp, 18.2010071143027012_dp, &
+         & 18.1189023997875012_dp, 18.0281324759239006_dp, 17.9288082683053993_dp, 17.8211835790311000_dp, &
+         & 17.7056532045318988_dp, 17.5827468160780995_dp, 17.4531189088071983_dp, 17.3175353151240010_dp, &
+         & 17.1768569269985996_dp, 17.0320213669036988_dp, 16.8840233832894988_dp, 16.7338947254926005_dp, &
+         & 16.5826841837166015_dp, 16.4314383763963008_dp, 16.2811837465024993_dp, 16.1329101061965012_dp, &
+         & 15.9875559583622007_dp, 15.8459957316189008_dp, 15.7090289948137993_dp, 15.5773716657147006_dp, &
+         & 15.4516491921077996_dp, 15.3323916565410006_dp, 15.2200307342983994_dp, 15.1148984154059001_dp, &
+         & 15.0172273848983000_dp, 14.9271529418456996_dp, 14.8447163277076992_dp, 14.7698693290851004_dp, &
+         & 14.7024800186477993_dp, 14.6423394998335006_dp, 14.5891695240760999_dp, 14.5426308518448995_dp, &
+         & 14.5023322288669991_dp, 14.4678398453342005_dp, 14.4386871381869994_dp, 14.4143847850924001_dp, &
+         & 14.3944307246009995_dp, 14.3783200219502998_dp, 14.3655543862026995_dp, 14.3556511342108006_dp, &
+         & 14.3481513925024995_dp, 14.3426273314920998_dp, 14.3386882388135994_dp, 14.3359852607094993_dp, &
+         & 14.3342146721810995_dp, 14.3331195770661992_dp, 14.3324899867134992_dp, 14.3321612781807008_dp, &
+         & 14.3320110872517006_dp, 14.3319547452411999_dp, 14.3319394188284992_dp, 14.3319371566814002_dp, &
+         & 14.3319369853984995_dp, 14.3319339511379003_dp, 14.3319133935706997_dp, 14.3318378217029991_dp, &
+         & 14.3316363742641997_dp, 14.3311955085001994_dp, 14.3303511864347008_dp, 14.3288828676499005_dp, &
+         & 14.3265095784832006_dp, 14.3228882822744996_dp, 14.3176147232552999_dp, 14.3102268568457003_dp, &
+         & 14.3002109104770998_dp, 14.2870100409102996_dp, 14.2700354664735993_dp, 14.2486798569717994_dp, &
+         & 14.2223326629715991_dp, 14.1903969641385004_dp, 14.1523073192155007_dp, 14.1075480152394004_dp, &
+         & 14.0556710484056993_dp, 13.9963131310899005_dp, 13.9292110151612007_dp, 13.8542144550392994_dp, &
+         & 13.7712962063028996_dp, 13.6805585653824000_dp, 13.5822360983147004_dp, 13.4766943746191004_dp, &
+         & 13.3644247070896007_dp, 13.2460350892781999_dp, 13.1222377080070007_dp, 12.9938335755236007_dp, &
+         & 12.8616949611542992_dp, 12.7267463920042001_dp, 12.5899450254976006_dp, 12.4522611680802999_dp, &
+         & 12.3146596274669005_dp, 12.1780824531514007_dp, 12.0434334619178998_dp, 11.9115647853453002_dp, &
+         & 11.7832655357326992_dp, 11.6592525791101007_dp, 11.5401633332675004_dp, 11.4265504710089001_dp, &
+         & 11.3188783950750995_dp, 11.2175213511871004_dp, 11.1227630510721003_dp, 11.0347976829842995_dp, &
+         & 10.9537321910979006_dp, 10.8795897073760006_dp, 10.8123140211306996_dp, 10.7517749734639008_dp, &
+         & 10.6977746664015996_dp, 10.6500543793664999_dp, 10.6083020876627998_dp, 10.5721604776482003_dp, &
+         & 10.5412353502304992_dp, 10.5151042976597004_dp, 10.4933255284144007_dp, 10.4754467020784006_dp, &
+         & 10.4610136219168997_dp, 10.4495786193017004_dp, 10.4407084533465007_dp, 10.4339915432774006_dp, &
+         & 10.4290443520597993_dp, 10.4255167490612006_dp, 10.4230961978061991_dp, 10.4215106421734998_dp, &
+         & 10.4205299999082008_dp, 10.4199662145712999_dp, 10.4196718639257995_dp, 10.4195373717963005_dp, &
+         & 10.4194869190116002_dp, 10.4194731946173000_dp, 10.4194711689249999_dp, 10.4194710168555993_dp, &
+         & 10.4194683402622008_dp, 10.4194502059454006_dp, 10.4193835422325005_dp, 10.4192058408966002_dp, &
+         & 10.4188169440785003_dp, 10.4180721532858005_dp, 10.4167769343798007_dp, 10.4146834586642001_dp, &
+         & 10.4114891810624997_dp, 10.4068376111772007_dp, 10.4003213807127999_dp, 10.3914876502323992_dp, &
+         & 10.3798458287455997_dp, 10.3648775012057008_dp, 10.3460483727399009_dp, 10.3228219468914997_dp, &
+         & 10.2946745624384999_dp, 10.2611113250599999_dp, 10.2216823930197993_dp, 10.1759990174048998_dp, &
+         & 10.1237487042855996_dp, 10.0647088641244995_dp, 9.9987583463322292_dp, 9.9258863245416702_dp, &
+         & 9.8461980982645105_dp, 9.7599175033833792_dp, 9.6673857694529808_dp, 9.5690568168537595_dp, &
+         & 9.4654891421906395_dp, 9.3573345874668892_dp, 9.2453244202085898_dp, 9.1302532617976695_dp, &
+         & 9.0129614846698498_dp, 8.8943167513921200_dp, 8.7751953865006609_dp, 8.6564642533442502_dp, &
+         & 8.5389637532719398_dp, 8.4234924765125392_dp, 8.3107939194398099_dp, 8.2015455508908097_dp, &
+         & 8.0963503719365200_dp, 7.9957309805053098_dp, 7.9001260348686504_dp, 7.8098889160857903_dp, &
+         & 7.7252883236786998_dp, 7.6465105022311199_dp, 7.5736627873306901_dp, 7.5067781729826102_dp, &
+         & 7.4458206335306398_dp, 7.3906909748774998_dp, 7.3412330362470799_dp, 7.2972401094760100_dp, &
+         & 7.2584614835514403_dp, 7.2246090547490898_dp, 7.1953639654405599_dp, 7.1703832467529196_dp, &
+         & 7.1493064421281600_dp, 7.1317621816558399_dp, 7.1173746627521099_dp, 7.1057699737571696_dp, &
+         & 7.0965821760733796_dp, 7.0894590404296700_dp, 7.0840673164876700_dp, 7.0800974047153096_dp, &
+         & 7.0772672971115203_dp, 7.0753256601134602_dp, 7.0740539491701098_dp, 7.0732674694678099_dp, &
+         & 7.0728153297899299_dp, 7.0725792744678602_dp, 7.0724714193752902_dp, 7.0724309592928503_dp, &
+         & 7.0724199531775698_dp, 7.0724183286982996_dp, 7.0724182071189698_dp, 7.0724160721250096_dp, &
+         & 7.0724016072323597_dp, 7.0723484328396502_dp, 7.0722066900680502_dp, 7.0718964927087100_dp, &
+         & 7.0713024400332296_dp, 7.0702694161906496_dp, 7.0685998791100202_dp, 7.0660528150786996_dp, &
+         & 7.0623445030899701_dp, 7.0571511938330396_dp, 7.0501137599401700_dp, 7.0408443152803200_dp, &
+         & 7.0289347310022601_dp, 7.0139668952731702_dp, 6.9955244744541902_dp, 6.9732058398526000_dp, &
+         & 6.9466377320398003_dp, 6.9154891513892602_dp, 6.8794848972934499_dp, 6.8384181379618898_dp, &
+         & 6.7921613854696696_dp, 6.7406752826461398_dp, 6.6840146824143103_dp, 6.6223316155608201_dp, &
+         & 6.5558748946775500_dp, 6.4849862809753702_dp, 6.4100933338961701_dp, 6.3316992553542404_dp, &
+         & 6.2503702143642901_dp, 6.1667207779723903_dp, 6.0813981679051503_dp, 5.9950661009808899_dp, &
+         & 5.9083889527684699_dp, 5.8220169121809597_dp, 5.7365726792877298_dp, 5.6526401134790696_dp, &
+         & 5.5707550802614803_dp, 5.4913985883406298_dp, 5.4149921680620299_dp, 5.3418953278843402_dp, &
+         & 5.2724048431304098_dp, 5.2067555822143596_dp, 5.1451225575887696_dp, 5.0876238968435601_dp, &
+         & 5.0343244572826604_dp, 4.9852398480719504_dp, 4.9403406713118896_dp, 4.8995568417573603_dp, &
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+         & 0.0706035872535793_dp, 0.0704623496272703_dp, 0.0703584330032641_dp, 0.0702843914463855_dp, &
+         & 0.0702336131596972_dp, 0.0702003633714554_dp, 0.0701798036217767_dp, 0.0701679851672345_dp, &
+         & 0.0701618152633756_dp, 0.0701589962734275_dp, 0.0701579387875491_dp, 0.0701576511271256_dp, &
+         & 0.0701576086691027_dp, 0.0701576053278430_dp, 0.0701575444675946_dp, 0.0701571321312571_dp, &
+         & 0.0701556163513821_dp, 0.0701515759317779_dp, 0.0701427340443210_dp, 0.0701258025808436_dp, &
+         & 0.0700963642838062_dp, 0.0700487993650931_dp, 0.0699762629146825_dp, 0.0698707187888061_dp, &
+         & 0.0697230347102824_dp, 0.0695231418607491_dp, 0.0692602601657342_dp, 0.0689231876873180_dp, &
+         & 0.0685006490479623_dp, 0.0679816937260860_dp, 0.0673561306303512_dp, 0.0666149809454240_dp, &
+         & 0.0657509273250199_dp, 0.0647587346272580_dp, 0.0636356160739631_dp, 0.0623815194095130_dp, &
+         & 0.0609993105972784_dp, 0.0594948378330677_dp, 0.0578768658924780_dp, 0.0561568794919296_dp, &
+         & 0.0543487636207125_dp, 0.0524683777463899_dp, 0.0505330484501734_dp, 0.0485610105817074_dp, &
+         & 0.0465708298601086_dp, 0.0445808397509317_dp, 0.0426086225497500_dp, 0.0406705593662586_dp, &
+         & 0.0387814668400779_dp, 0.0369543307653828_dp, 0.0352001391902910_dp, 0.0335278107139416_dp, &
+         & 0.0319442081726393_dp, 0.0304542240043730_dp, 0.0290609213969049_dp, 0.0277657147391466_dp, &
+         & 0.0265685736406738_dp, 0.0254682365100685_dp, 0.0244624220280087_dp, 0.0235480294890316_dp, &
+         & 0.0227213216466247_dp, 0.0219780861760377_dp, 0.0213137740262574_dp, 0.0207236146907022_dp, &
+         & 0.0202027097629269_dp, 0.0197461070807243_dp, 0.0193488583450971_dp, 0.0190060633842357_dp, &
+         & 0.0187129042676624_dp, 0.0184646723075836_dp, 0.0182567906539752_dp, 0.0180848347330915_dp, &
+         & 0.0179445522320556_dp, 0.0178318837305014_dp, 0.0177429844595629_dp, 0.0176742470657558_dp, &
+         & 0.0176223247106897_dp, 0.0175841533828809_dp, 0.0175569719680091_dp, 0.0175383384439840_dp, &
+         & 0.0175261405497054_dp, 0.0175185994219973_dp, 0.0175142649868469_dp, 0.0175120023008297_dp, &
+         & 0.0175109685247783_dp, 0.0175105807300184_dp, 0.0175104752414228_dp, 0.0175104596715592_dp, &
+         & 0.0175104584354351_dp, 0.0175104357818476_dp, 0.0175102823010285_dp, 0.0175097180976067_dp, &
+         & 0.0175082142020528_dp, 0.0175049232864097_dp, 0.0174986220267606_dp, 0.0174876679552654_dp, &
+         & 0.0174699736559170_dp, 0.0174430011421123_dp, 0.0174037791362203_dp, 0.0173489456650486_dp, &
+         & 0.0172748177906996_dp, 0.0171774893289935_dp, 0.0170529560119661_dp, 0.0168972657231379_dp, &
+         & 0.0167066892450229_dp, 0.0164779045617287_dp, 0.0162081853970619_dp, 0.0158955826496694_dp, &
+         & 0.0155390860587907_dp, 0.0151387531254805_dp, 0.0146957932774683_dp, 0.0142125976093794_dp, &
+         & 0.0136927081738918_dp, 0.0131407254482276_dp, 0.0125621577673378_dp, 0.0119632215829419_dp, &
+         & 0.0113506057324493_dp, 0.0107312159270734_dp, 0.0101119170226838_dp, 0.0094992901853566_dp, &
+         & 0.0088994199169186_dp, 0.0083177223876341_dp, 0.0077588221328497_dp, 0.0072264795106669_dp, &
+         & 0.0067235670010000_dp, 0.0062520889434694_dp, 0.0058132369279278_dp, 0.0054074717876631_dp, &
+         & 0.0050346228633487_dp, 0.0046939957230805_dp, 0.0043844806725630_dp, 0.0041046559838271_dp, &
+         & 0.0038528815641179_dp, 0.0036273804962441_dp, 0.0034263072941911_dp, 0.0032478027668219_dp, &
+         & 0.0030900361323738_dp, 0.0029512355708761_dp, 0.0028297087804248_dp, 0.0027238553025768_dp, &
+         & 0.0026321723919800_dp, 0.0025532560648536_dp, 0.0024857987478804_dp, 0.0024285847321437_dp, &
+         & 0.0023804844462028_dp, 0.0023404483905232_dp, 0.0023075014039762_dp, 0.0022807377526561_dp, &
+         & 0.0022593173468231_dp, 0.0022424632139142_dp, 0.0022294601956396_dp, 0.0022196546989157_dp, &
+         & 0.0022124552196310_dp, 0.0022073332753543_dp, 0.0022038243339821_dp, 0.0022015283113212_dp, &
+         & 0.0022001092342769_dp, 0.0021992937248818_dp, 0.0021988680480014_dp, 0.0021986735738331_dp, &
+         & 0.0021986006232808_dp, 0.0021985807792824_dp, 0.0021985778503613_dp, 0.0021985776156974_dp, &
+         & 0.0021985732883465_dp, 0.0021985439700814_dp, 0.0021984361957763_dp, 0.0021981489300273_dp, &
+         & 0.0021975203624081_dp, 0.0021963169879804_dp, 0.0021942255853169_dp, 0.0021908487450020_dp, &
+         & 0.0021857046384994_dp, 0.0021782317252565_dp, 0.0021677990465960_dp, 0.0021537226145405_dp, &
+         & 0.0021352881442773_dp, 0.0021117799808081_dp, 0.0020825155353137_dp, 0.0020468839006220_dp, &
+         & 0.0020043866176351_dp, 0.0019546779027273_dp, 0.0018976011325336_dp, 0.0018332181340846_dp, &
+         & 0.0017618279500127_dp, 0.0016839723055533_dp, 0.0016004260005822_dp, 0.0015121718112745_dp, &
+         & 0.0014203610552528_dp, 0.0013262625335209_dp, 0.0012312038677820_dp, 0.0011365100875054_dp, &
+         & 0.0010434445455729_dp, 0.0009531568356032_dp, 0.0008666414233396_dp, 0.0007847093188182_dp, &
+         & 0.0007079735239977_dp, 0.0006368475386758_dp, 0.0005715551419065_dp, 0.0005121490377604_dp, &
+         & 0.0004585358126903_dp, 0.0004105046625043_dp, 0.0003677570757787_dp, 0.0003299348412789_dp, &
+         & 0.0002966445965278_dp, 0.0002674777392038_dp, 0.0002420258099924_dp, 0.0002198926731829_dp, &
+         & 0.0002007036694138_dp, 0.0001841116317500_dp, 0.0001698009262263_dp, 0.0001574892335157_dp, &
+         & 0.0001469259435574_dp, 0.0001378890416852_dp, 0.0001301829585856_dp, 0.0001236364565464_dp, &
+         & 0.0001180991880680_dp, 0.0001134383427832_dp, 0.0001095369358097_dp, 0.0001062928884075_dp, &
+         & 1.0361741391307099e-04_dp, 1.0143265964401800e-04_dp, 9.9669496275822694e-05_dp, 9.8266004744829201e-05_dp, &
+         & 9.7166574452245400e-05_dp, 9.6321316878089606e-05_dp, 9.5685620983942995e-05_dp, 9.5219810855695601e-05_dp, &
+         & 9.4888902090417600e-05_dp, 9.4662436072923101e-05_dp, 9.4514354362473796e-05_dp, 9.4422871999455497e-05_dp, &
+         & 9.4370313423297603e-05_dp, 9.4342883194542497e-05_dp, 9.4330352393257004e-05_dp, 9.4325652032267699e-05_dp, &
+         & 9.4324373449694603e-05_dp, 9.4324184743754800e-05_dp, 9.4324169474191395e-05_dp, 9.4323886269620502e-05_dp, &
+         & 9.4321967544885906e-05_dp, 9.4314914406368202e-05_dp, 9.4296115577208197e-05_dp, 9.4254986230168897e-05_dp, &
+         & 9.4176262418699307e-05_dp, 9.4039498108600101e-05_dp, 9.3818818292845703e-05_dp, 9.3482988230420005e-05_dp, &
+         & 9.2995862214451095e-05_dp, 9.2317272898156903e-05_dp, 9.1404408951945002e-05_dp, 9.0213702502950395e-05_dp, &
+         & 8.8703204863094202e-05_dp, 8.6835374453642103e-05_dp, 8.4580142196699599e-05_dp, 8.1918059859020800e-05_dp, &
+         & 7.8843255842286894e-05_dp, 7.5365786099013094e-05_dp, 7.1512829453723698e-05_dp, 6.7328289070189799e-05_dp, &
+         & 6.2870957862060095e-05_dp, 5.8212015861869297e-05_dp, 5.3432155549870699e-05_dp, 4.8617446402943201e-05_dp, &
+         & 4.3853675606442300e-05_dp, 3.9221200054839803e-05_dp, 3.4791743960482797e-05_dp, 3.0625542947859699e-05_dp, &
+         & 2.6768267801458000e-05_dp, 2.3250088677428901e-05_dp, 2.0086187785040000e-05_dp, 1.7275466358768199e-05_dp, &
+         & 1.4800250951907399e-05_dp, 1.2630126278168101e-05_dp, 1.0727236066543399e-05_dp, 9.0547842681587604e-06_dp, &
+         & 7.5896022551091804e-06_dp, 6.3249016264421698e-06_dp, 5.2541780704018501e-06_dp, 4.3704168142255597e-06_dp, &
+         & 3.6681149495621000e-06_dp, 3.0351456636879001e-06_dp, 2.4273484662273901e-06_dp, 2.1130328811125301e-06_dp, &
+         & 1.7893055215267901e-06_dp, 1.4435051234329400e-06_dp, 1.1214334350029299e-06_dp, 8.5782264491740502e-07_dp, &
+         &  5.9579857136782298e-07_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, &
+         & -2.1316282072802999e-14_dp, -1.4210854715202001e-14_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, &
+         & -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, &
+         & -2.1316282072802999e-14_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, &
+         & -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, &
+         & -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, &
+         & -2.1316282072802999e-14_dp &
+         &]
+      case (33)
+         out = [&
+         & 33.0000000000000000_dp, 32.9999999745243002_dp, 32.9999991867640006_dp, 32.9999938495636016_dp, &
+         & 32.9999742293256020_dp, 32.9999219280153966_dp, 32.9998074630093967_dp, 32.9995882301751990_dp, &
+         & 32.9992069240578019_dp, 32.9985904752377976_dp, 32.9976495492745983_dp, 32.9962786347012980_dp, &
+         & 32.9943567299190974_dp, 32.9917486211943967_dp, 32.9883067269735974_dp, 32.9838734679836989_dp, &
+         & 32.9782841086111986_dp, 32.9713700031999011_dp, 32.9629621713537020_dp, 32.9528951190494013_dp, &
+         & 32.9410108171275979_dp, 32.9271627451833027_dp, 32.9112199065801008_dp, 32.8930707188810985_dp, &
+         & 32.8726266831912000_dp, 32.8498257357510965_dp, 32.8246351859312000_dp, 32.7970541471706980_dp, &
+         & 32.7671153722304993_dp, 32.7348864122984011_dp, 32.7004700318146035_dp, 32.6640038278624019_dp, &
+         & 32.6256590246102007_dp, 32.5856384390073970_dp, 32.5441736425714012_dp, 32.5015213739740005_dp, &
+         & 32.4579592862712971_dp, 32.4137811389776971_dp, 32.3692915668905030_dp, 32.3248005731935990_dp, &
+         & 32.2806179030157026_dp, 32.2370474550439994_dp, 32.1943818833640023_dp, 32.1528975302686035_dp, &
+         & 32.1128498145752985_dp, 32.0744691803937982_dp, 32.0379576896951974_dp, 32.0034863197043009_dp, &
+         & 31.9711930041054018_dp, 31.9411814360881010_dp, 31.9135206318361995_dp, 31.8882452354543986_dp, &
+         & 31.8653565305694002_dp, 31.8448241098999993_dp, 31.8265881418321008_dp, 31.8105621623490009_dp, &
+         & 31.7966363114764015_dp, 31.7846809256847003_dp, 31.7745503915188010_dp, 31.7660871612178006_dp, &
+         & 31.7591258284321007_dp, 31.7534971615400003_dp, 31.7490319937160983_dp, 31.7455648729551996_dp, &
+         & 31.7429373818056995_dp, 31.7410010456022995_dp, 31.7396197593950014_dp, 31.7386716773232997_dp, &
+         & 31.7380505235450983_dp, 31.7376663005602992_dp, 31.7374453883785002_dp, 31.7373300458936995_dp, &
+         & 31.7372773434945010_dp, 31.7372575727680015_dp, 31.7372521946285993_dp, 31.7372514008256985_dp, &
+         & 31.7372512966955007_dp, 31.7372488705865017_dp, 31.7372324333244009_dp, 31.7371720079628012_dp, &
+         & 31.7370109342338012_dp, 31.7366584186761997_dp, 31.7359832722695003_dp, 31.7348090714253992_dp, &
+         & 31.7329109404888001_dp, 31.7300141110080993_dp, 31.7257943658193007_dp, 31.7198804254533009_dp, &
+         & 31.7118582816076007_dp, 31.7012774286287993_dp, 31.6876588903589003_dp, 31.6705048874197992_dp, &
+         & 31.6493099398654003_dp, 31.6235731525325008_dp, 31.5928113853016015_dp, 31.5565729675635005_dp, &
+         & 31.5144515753475005_dp, 31.4660998515510002_dp, 31.4112423167864989_dp, 31.3496870948167015_dp, &
+         & 31.2813359686758012_dp, 31.2061922988970011_dp, 31.1243663810212006_dp, 31.0360779006602989_dp, &
+         & 30.9416552613423015_dp, 30.8415317078288993_dp, 30.7362383341248986_dp, 30.6263942347254989_dp, &
+         & 30.5126942112417012_dp, 30.3958945671135012_dp, 30.2767975978287005_dp, 30.1562354070494010_dp, &
+         & 30.0350536521680986_dp, 29.9140957548646007_dp, 29.7941880166971984_dp, 29.6761259718601984_dp, &
+         & 29.5606622030552018_dp, 29.4484957527417990_dp, 29.3402631871922992_dp, 29.2365313167133998_dp, &
+         & 29.1377915404640007_dp, 29.0444557645699994_dp, 28.9568538328843985_dp, 28.8752324061364014_dp, &
+         & 28.7997552236225012_dp, 28.7305046794705987_dp, 28.6674846414201987_dp, 28.6106244334656985_dp, &
+         & 28.5597838946183984_dp, 28.5147594147761012_dp, 28.4752908356997985_dp, 28.4410690908677992_dp, &
+         & 28.4117444430601012_dp, 28.3869351635261005_dp, 28.3662364822656983_dp, 28.3492296261931997_dp, &
+         & 28.3354907517893011_dp, 28.3245995723926995_dp, 28.3161474786503007_dp, 28.3097449548392994_dp, &
+         & 28.3050281045743013_dp, 28.3016641172601986_dp, 28.2993555315797991_dp, 28.2978431838700999_dp, &
+         & 28.2969077665314011_dp, 28.2963699632880008_dp, 28.2960891724871004_dp, 28.2959608747866014_dp, &
+         & 28.2959127455557997_dp, 28.2958996532066003_dp, 28.2958977208020990_dp, 28.2958975502075987_dp, &
+         & 28.2958942074915001_dp, 28.2958715600891999_dp, 28.2957883057041997_dp, 28.2955663790164991_dp, &
+         & 28.2950806924900000_dp, 28.2941505239986988_dp, 28.2925328884324010_dp, 28.2899181853916986_dp, &
+         & 28.2859283631249987_dp, 28.2801177795867993_dp, 28.2719768741730988_dp, 28.2609386875591007_dp, &
+         & 28.2463881817218017_dp, 28.2276742180114013_dp, 28.2041239495780012_dp, 28.1750592785983009_dp, &
+         & 28.1398149233483004_dp, 28.0977575416365006_dp, 28.0483052732083991_dp, 27.9909470028160001_dp, &
+         & 27.9252606157183010_dp, 27.8509295247650002_dp, 27.7677567963029013_dp, 27.6756762902146995_dp, &
+         & 27.5747603521339002_dp, 27.4652237436448985_dp, 27.3474236565017002_dp, 27.2218558163700983_dp, &
+         & 27.0891468291517015_dp, 26.9500430518468015_dp, 26.8053963787611984_dp, 26.6561474256389985_dp, &
+         & 26.5033066733092006_dp, 26.3479342003477015_dp, 26.1911186869144998_dp, 26.0339563989383009_dp, &
+         & 25.8775308497472984_dp, 25.7228937747650015_dp, 25.5710479430673985_dp, 25.4229321791110010_dp, &
+         & 25.2794088011049993_dp, 25.1412535256813996_dp, 25.0091477639056983_dp, 24.8836731532204993_dp, &
+         & 24.7653081336117999_dp, 24.6544263748265990_dp, 24.5512968811543004_dp, 24.4560856278339003_dp, &
+         & 24.3688586087238015_dp, 24.2895861929961008_dp, 24.2181486974999984_dp, 24.1543430816823985_dp, &
+         & 24.0978906651955000_dp, 24.0484457563978999_dp, 24.0056050644173986_dp, 23.9689177495525989_dp, &
+         & 23.9378959475909987_dp, 23.9120255841685001_dp, 23.8907772767949993_dp, 23.8736171060008999_dp, &
+         & 23.8600170248126986_dp, 23.8494646690799996_dp, 23.8414723316113992_dp, 23.8355848719529995_dp, &
+         & 23.8313863518037010_dp, 23.8285052138190991_dp, 23.8266178585183006_dp, 23.8254505191058996_dp, &
+         & 23.8247793855336987_dp, 23.8244289848171000_dp, 23.8242688818926993_dp, 23.8242088214440990_dp, &
+         & 23.8241924835161001_dp, 23.8241900720711008_dp, 23.8241898786433985_dp, 23.8241863089205985_dp, &
+         & 23.8241621235159009_dp, 23.8240732152906993_dp, 23.8238362176913014_dp, 23.8233175496046989_dp, &
+         & 23.8223242203996008_dp, 23.8205967569578014_dp, 23.8178045673986993_dp, 23.8135440017823008_dp, &
+         & 23.8073393077069007_dp, 23.7986466073731009_dp, 23.7868609412875003_dp, 23.7713263316577006_dp, &
+         & 23.7513487158914991_dp, 23.7262114890523002_dp, 23.6951932770192002_dp, 23.6575874448382990_dp, &
+         & 23.6127227346849011_dp, 23.5599843338767982_dp, 23.4988346051021004_dp, 23.4288326775971996_dp, &
+         & 23.3496521066490992_dp, 23.2610958632635985_dp, 23.1631080153135009_dp, 23.0557815999723985_dp, &
+         & 22.9393623541407017_dp, 22.8142481512101014_dp, 22.6809841745714991_dp, 22.5402540283835009_dp, &
+         & 22.3928671357969016_dp, 22.2397429000128000_dp, 22.0818922035475005_dp, 21.9203968965327007_dp, &
+         & 21.7563879756142988_dp, 21.5910231789872995_dp, 21.4254647168685004_dp, 21.2608578171777012_dp, &
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+         & 6.8155881649545304e-07_dp, 6.4657001530576995e-07_dp, 5.4913345337581600e-07_dp, 4.4077548011500798e-07_dp, &
+         &  4.4345539862433698e-07_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, 7.7227706896110196e-07_dp, &
+         & 1.1088044189477799e-06_dp, 1.2591339455525500e-06_dp, 1.2084589968708300e-06_dp, 9.8865730535635500e-07_dp, &
+         &  6.6239528706546501e-07_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, &
+         & -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, &
+         & -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, &
+         & -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, &
+         & -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, &
+         & -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, &
+         & -1.4210854715202001e-14_dp &
+         &]
+      case (34)
+         out = [&
+         & 34.0000000000000000_dp, 33.9999999733951981_dp, 33.9999991507229993_dp, 33.9999935769891977_dp, &
+         & 33.9999730872234025_dp, 33.9999184680264008_dp, 33.9997989301540002_dp, 33.9995699813006027_dp, &
+         & 33.9991717762126981_dp, 33.9985280068291971_dp, 33.9975453787925019_dp, 33.9961137029685005_dp, &
+         & 33.9941066122101034_dp, 33.9913828951892967_dp, 33.9877884214049004_dp, 33.9831586150743021_dp, &
+         & 33.9773214210881989_dp, 33.9701006939100978_dp, 33.9613199304074982_dp, 33.9508062600765967_dp, &
+         & 33.9383946007041004_dp, 33.9239318838013020_dp, 33.9072812516827966_dp, 33.8883261264194005_dp, &
+         & 33.8669740498325993_dp, 33.8431601932461987_dp, 33.8168504362321016_dp, 33.7880439157827013_dp, &
+         & 33.7567749521427984_dp, 33.7231142659517005_dp, 33.6871694142741021_dp, 33.6490843910629991_dp, &
+         & 33.6090383606011969_dp, 33.5672435198702033_dp, 33.5239421163011002_dp, 33.4794026791526989_dp, &
+         & 33.4339155536877968_dp, 33.3877878551718013_dp, 33.3413379825087972_dp, 33.2948898475383004_dp, &
+         & 33.2487669847279008_dp, 33.2032867070101005_dp, 33.1587544672627033_dp, 33.1154585723874035_dp, &
+         & 33.0736653794569975_dp, 33.0336150824637969_dp, 32.9955181753141034_dp, 32.9595526532121994_dp, &
+         & 32.9258619915327984_dp, 32.8945539194794989_dp, 32.8656999857550005_dp, 32.8393358953449024_dp, &
+         & 32.8154625803866011_dp, 32.7940479538540970_dp, 32.7750292822962024_dp, 32.7583161029837981_dp, &
+         & 32.7437936014410980_dp, 32.7313263574459015_dp, 32.7207623612449012_dp, 32.7119371970741994_dp, &
+         & 32.7046782882989007_dp, 32.6988090978147028_dp, 32.6941531789971975_dp, 32.6905379766201989_dp, &
+         & 32.6877982838908991_dp, 32.6857792710737982_dp, 32.6843390129810984_dp, 32.6833504566629003_dp, &
+         & 32.6827027865941986_dp, 32.6823021620676997_dp, 32.6820718198447011_dp, 32.6819515538012979_dp, &
+         & 32.6818966017356018_dp, 32.6818759870730986_dp, 32.6818703793618965_dp, 32.6818695516747013_dp, &
+         & 32.6818694430996004_dp, 32.6818669134294026_dp, 32.6818497745250980_dp, 32.6817867698476974_dp, &
+         & 32.6816188205716003_dp, 32.6812512578532974_dp, 32.6805472935918999_dp, 32.6793229759364010_dp, &
+         & 32.6773438366882019_dp, 32.6743233932267003_dp, 32.6699236185546980_dp, 32.6637574404894977_dp, &
+         & 32.6553932760295993_dp, 32.6443615506998981_dp, 32.6301630964831020_dp, 32.6122792669019006_dp, &
+         & 32.5901835547913024_dp, 32.5633544477035031_dp, 32.5312892077184017_dp, 32.4935182164349001_dp, &
+         & 32.4496194821049997_dp, 32.3992328651808990_dp, 32.3420735435863023_dp, 32.2779442145448030_dp, &
+         & 32.2067455226465000_dp, 32.1284842220361995_dp, 32.0432786317439025_dp, 31.9513610321414987_dp, &
+         & 31.8530767772965007_dp, 31.7488800562876001_dp, 31.6393264135217009_dp, 31.5250623159737984_dp, &
+         & 31.4068122142528985_dp, 31.2853636663570995_dp, 31.1615511650304988_dp, 31.0362393265546004_dp, &
+         & 30.9103060637018991_dp, 30.7846262887997995_dp, 30.6600565893414014_dp, 30.5374212046836995_dp, &
+         & 30.4174995227436007_dp, 30.3010152209740014_dp, 30.1886271021447001_dp, 30.0809216236974990_dp, &
+         & 29.9784070872130997_dp, 29.8815094371845014_dp, 29.7905696105584994_dp, 29.7058423755565997_dp, &
+         & 29.6274965964650008_dp, 29.5556168580488006_dp, 29.4902063778603001_dp, 29.4311911266933990_dp, &
+         & 29.3784250670044997_dp, 29.3316964067177999_dp, 29.2907347519307990_dp, 29.2552190271164996_dp, &
+         & 29.2247860159587987_dp, 29.1990393605228995_dp, 29.1775588417635987_dp, 29.1599097512810985_dp, &
+         & 29.1456521537879993_dp, 29.1343498331066009_dp, 29.1255787128139012_dp, 29.1189345469689016_dp, &
+         & 29.1140396874930012_dp, 29.1105487532299989_dp, 29.1081530515073013_dp, 29.1065836357308001_dp, &
+         & 29.1056129212038002_dp, 29.1050548245979002_dp, 29.1047634385474012_dp, 29.1046302997247004_dp, &
+         & 29.1045803544113006_dp, 29.1045667680424991_dp, 29.1045647627218003_dp, 29.1045645856900990_dp, &
+         & 29.1045611168419001_dp, 29.1045376148751984_dp, 29.1044512190179994_dp, 29.1042209182954004_dp, &
+         & 29.1037169052775013_dp, 29.1027516389005996_dp, 29.1010729663706016_dp, 29.0983596074858006_dp, &
+         & 29.0942192508763995_dp, 29.0881894502213996_dp, 29.0797414386825004_dp, 29.0682869008034999_dp, &
+         & 29.0531876525096990_dp, 29.0337680819679989_dp, 29.0093300985320006_dp, 28.9791702269753984_dp, &
+         & 28.9425983746934996_dp, 28.8989576972272992_dp, 28.8476449004064008_dp, 28.7881302542880988_dp, &
+         & 28.7199765631076005_dp, 28.6428563430365983_dp, 28.5565665089393015_dp, 28.4610399614953984_dp, &
+         & 28.3563535913412998_dp, 28.2427323673434998_dp, 28.1205493392379005_dp, 27.9903215479364000_dp, &
+         & 27.8527019896960013_dp, 27.7084679175525004_dp, 27.5585058844969986_dp, 27.4037940405948994_dp, &
+         & 27.2453822929868998_dp, 27.0843710212655999_dp, 26.9218891019574009_dp, 26.7590720199433996_dp, &
+         & 26.5970408164984988_dp, 26.4368825353537993_dp, 26.2796326853230013_dp, 26.1262600605730988_dp, &
+         & 25.9776540768883990_dp, 25.8346146236131986_dp, 25.6978443167810013_dp, 25.5679429758830992_dp, &
+         & 25.4454041285611012_dp, 25.3306133600327996_dp, 25.2238483512884990_dp, 25.1252804789242994_dp, &
+         & 25.0349778717966984_dp, 24.9529098322540008_dp, 24.8789525326428986_dp, 24.8128958929360017_dp, &
+         & 24.7544515348607987_dp, 24.7032616936740013_dp, 24.6589089519983986_dp, 24.6209266417966006_dp, &
+         & 24.5888097413034998_dp, 24.5620260743773997_dp, 24.5400276013041001_dp, 24.5222615739569996_dp, &
+         & 24.5081813159691002_dp, 24.4972563819299012_dp, 24.4889818502343992_dp, 24.4828865134615015_dp, &
+         & 24.4785397489842005_dp, 24.4755568812371997_dp, 24.4736028853140013_dp, 24.4723943282334986_dp, &
+         & 24.4716994975305013_dp, 24.4713367244672995_dp, 24.4711709684448984_dp, 24.4711087873127013_dp, &
+         & 24.4710918725062996_dp, 24.4710893759151986_dp, 24.4710891756576991_dp, 24.4710854798909985_dp, &
+         & 24.4710604405201018_dp, 24.4709683930202004_dp, 24.4707230272329994_dp, 24.4701860453994016_dp, &
+         & 24.4691576425156008_dp, 24.4673691835802991_dp, 24.4644784035263001_dp, 24.4600673992906010_dp, &
+         & 24.4536436189079005_dp, 24.4446439786722998_dp, 24.4324421551907989_dp, 24.4163590038694984_dp, &
+         & 24.3956759492685009_dp, 24.3696510774945985_dp, 24.3375375398815983_dp, 24.2986037562169983_dp, &
+         & 24.2521547922799989_dp, 24.1975541895828989_dp, 24.1342454547604994_dp, 24.0617723812565991_dp, &
+         & 23.9797973839912011_dp, 23.8881170821813988_dp, 23.7866744654498987_dp, 23.6755671177673008_dp, &
+         & 23.5550511423056008_dp, 23.4255406148644987_dp, 23.2876025807251992_dp, 23.1419477880439999_dp, &
+         & 22.9894175120351996_dp, 22.8309669635128998_dp, 22.6676458905183011_dp, 22.5005770708566004_dp, &
+         & 22.3309334535428015_dp, 22.1599147342451985_dp, 21.9887241394933000_dp, 21.8185461442437010_dp, &
+         & 21.6505257588677011_dp, 21.4857499011980018_dp, 21.3252312280060998_dp, 21.1698946520360991_dp, &
+         & 21.0205666296752014_dp, 20.8779671824714015_dp, 20.7427045210542005_dp, 20.6152720758921006_dp, &
+         & 20.4960477046573004_dp, 20.3852948363278017_dp, 20.2831653211297009_dp, 20.1897037759980016_dp, &
+         & 20.1048532408771017_dp, 20.0284619865098996_dp, 19.9602913354569012_dp, 19.9000243724815995_dp, &
+         & 19.8472754269653997_dp, 19.8016002085606999_dp, 19.7625064685418010_dp, 19.7294650445858011_dp, &
+         & 19.7019211277866013_dp, 19.6793055696894008_dp, 19.6610460263957982_dp, 19.6465777187931998_dp, &
+         & 19.6353535751525001_dp, 19.6268535169514990_dp, 19.6205926526789014_dp, 19.6161281588313017_dp, &
+         & 19.6130646529134012_dp, 19.6110578997159983_dp, 19.6098167383716984_dp, 19.6091031717697994_dp, &
+         & 19.6087306192913005_dp, 19.6085603955243002_dp, 19.6084965384758014_dp, 19.6084791677880013_dp, &
+         & 19.6084766039100984_dp, 19.6084764061590988_dp, 19.6084728551868999_dp, 19.6084487968220991_dp, &
+         & 19.6083603556513992_dp, 19.6081246033702996_dp, 19.6076086622696018_dp, 19.6066205618433997_dp, &
+         & 19.6049022109337017_dp, 19.6021248024144015_dp, 19.5978869148495995_dp, 19.5917155149425994_dp, &
+         & 19.5830699945748989_dp, 19.5713492954263018_dp, 19.5559020815765017_dp, 19.5360398160791995_dp, &
+         & 19.5110524826719001_dp, 19.4802265718299985_dp, 19.4428648266754003_dp, 19.3983071262751992_dp, &
+         & 19.3459517808054002_dp, 19.2852764351260006_dp, 19.2158577346922002_dp, 19.1373889092940992_dp, &
+         & 19.0496944820121996_dp, 18.9527414150914986_dp, 18.8466461581828995_dp, 18.7316772590210014_dp, &
+         & 18.6082534182733994_dp, 18.4769371010351016_dp, 18.3384240371654990_dp, 18.1935291318482015_dp, &
+         & 18.0431694503144016_dp, 17.8883450265927983_dp, 17.7301182730317990_dp, 17.5695927406719008_dp, &
+         & 17.4078919121892994_dp, 17.2461386146875988_dp, 17.0854355349291005_dp, 16.9268472176671985_dp, &
+         & 16.7713838366089014_dp, 16.6199869497930983_dp, 16.4735173850754002_dp, 16.3327453430018998_dp, &
+         & 16.1983427498195987_dp, 16.0708778408089010_dp, 15.9508119041945005_dp, 15.8384980712653007_dp, &
+         & 15.7341820024997006_dp, 15.6380042952160991_dp, 15.5500044266381003_dp, 15.4701260462489998_dp, &
+         & 15.3982234400939006_dp, 15.3340690033925995_dp, 15.2773615723668996_dp, 15.2277354780334999_dp, &
+         & 15.1847701913343993_dp, 15.1480004290805006_dp, 15.1169265836721003_dp, 15.0910253273750001_dp, &
+         & 15.0697602258423995_dp, 15.0525921779107996_dp, 15.0389894821040002_dp, 15.0284373174657997_dp, &
+         & 15.0204464198364995_dp, 15.0145607366111005_dp, 15.0103638548870997_dp, 15.0074840204582003_dp, &
+         & 15.0055975982297003_dp, 15.0044308673057003_dp, 15.0037600944306000_dp, 15.0034098851867004_dp, &
+         & 15.0032498704683999_dp, 15.0031898432256003_dp, 15.0031735143414000_dp, 15.0031711042315994_dp, &
+         & 15.0031709217454008_dp, 15.0031676890196994_dp, 15.0031457868229996_dp, 15.0030652719649993_dp, &
+         & 15.0028506484048005_dp, 15.0023809474072003_dp, 15.0014814038979001_dp, 14.9999170591866999_dp, &
+         & 14.9973885790248005_dp, 14.9935305282995994_dp, 14.9879122887146998_dp, 14.9800417423726007_dp, &
+         & 14.9693717710296994_dp, 14.9553095370812006_dp, 14.9372284180485000_dp, 14.9144823627700003_dp, &
+         & 14.8864223275314007_dp, 14.8524143387015997_dp, 14.8118586214937995_dp, 14.7642091400580995_dp, &
+         & 14.7089928208686995_dp, 14.6458276878784996_dp, 14.5744391317943993_dp, 14.4946735727186002_dp, &
+         & 14.4065088581201000_dp, 14.3100608659801001_dp, 14.2055859513705993_dp, 14.0934790749367007_dp, &
+         & 13.9742676708904998_dp, 13.8486015336360992_dp, 13.7172392068556004_dp, 13.5810315270001993_dp, &
+         & 13.4409030873011996_dp, 13.2978324373684007_dp, 13.1528318151808996_dp, 13.0069271314043995_dp, &
+         & 12.8611388081880005_dp, 12.7164639383529003_dp, 12.5738600976818002_dp, 12.4342310282666997_dp, &
+         & 12.2984143214086004_dp, 12.1671711631435997_dp, 12.0411781577842003_dp, 11.9210212072513997_dp, &
+         & 11.8071913905071995_dp, 11.7000827553606008_dp, 11.5999919046679008_dp, 11.5071192327957998_dp, &
+         & 11.4215716488811996_dp, 11.3433666128726998_dp, 11.2724373090330996_dp, 11.2086387884040999_dp, &
+         & 11.1517549242929004_dp, 11.1015060400214001_dp, 11.0575570827753005_dp, 11.0195262285848994_dp, &
+         & 10.9869938092917998_dp, 10.9595114518035999_dp, 10.9366113131302001_dp, 10.9178152827233994_dp, &
+         & 10.9026440084192995_dp, 10.8906255863214998_dp, 10.8813037410006004_dp, 10.8742453131758996_dp, &
+         & 10.8690468699656009_dp, 10.8653402596573994_dp, 10.8627969497708996_dp, 10.8611310140905992_dp, &
+         & 10.8601006705311995_dp, 10.8595083155527004_dp, 10.8591990500438005_dp, 10.8590577434331994_dp, &
+         & 10.8590047343407008_dp, 10.8589903145724005_dp, 10.8589881862445008_dp, 10.8589880264702003_dp, &
+         & 10.8589852142621996_dp, 10.8589661611375998_dp, 10.8588961198159009_dp, 10.8587094152142001_dp, &
+         & 10.8583008159796996_dp, 10.8575182965757993_dp, 10.8561574794264999_dp, 10.8539580121077002_dp, &
+         & 10.8506020945538992_dp, 10.8457153247842992_dp, 10.8388699774504005_dp, 10.8295907662255004_dp, &
+         & 10.8173630677458004_dp, 10.8016435013385994_dp, 10.7818726662344009_dp, 10.7574897389920991_dp, &
+         & 10.7279485327927997_dp, 10.6927345229804995_dp, 10.6513822569224992_dp, 10.6034924987236998_dp, &
+         & 10.5487484181742008_dp, 10.4869301250445996_dp, 10.4179268789490997_dp, 10.3417463732277994_dp, &
+         & 10.2585205973122999_dp, 10.1685079213830001_dp, 10.0720912126175008_dp, 9.9697719746660702_dp, &
+         & 9.8621606904372801_dp, 9.7499637313478100_dp, 9.6339673622442401_dp, 9.5150195090502905_dp, &
+         & 9.3940100558174002_dp, 9.2718504913491095_dp, 9.1494537281804291_dp, 9.0277148678339803_dp, &
+         & 8.9074935901335408_dp, 8.7895987098472492_dp, 8.6747752838390095_dp, 8.5636944812995708_dp, &
+         & 8.4569462638573896_dp, 8.3550347750533902_dp, 8.2583762200668307_dp, 8.1672989326796408_dp, &
+         & 8.0820452787808605_dp, 8.0027750318249300_dp, 7.9295698701999298_dp, 7.8624386823145702_dp, &
+         & 7.8013234146587997_dp, 7.7461052537704100_dp, 7.6966109885976604_dp, 7.6526194502013096_dp, &
+         & 7.6138679675793597_dp, 7.5800588095151697_dp, 7.5508656018709104_dp, 7.5259397178271099_dp, &
+         & 7.5049166361902104_dp, 7.4874222516928102_dp, 7.4730791033421200_dp, 7.4615124648407196_dp, &
+         & 7.4523562176437501_dp, 7.4452584051212796_dp, 7.4398863482348796_dp, 7.4359311914620401_dp, &
+         & 7.4331117442384604_dp, 7.4311774890695803_dp, 7.4299106430053703_dp, 7.4291271838307402_dp, &
+         & 7.4286767847341899_dp, 7.4284416393350003_dp, 7.4283342002636799_dp, 7.4282938962888503_dp, &
+         & 7.4282829326427500_dp, 7.4282813144319997_dp, 7.4282811933218102_dp, 7.4282790665664002_dp, &
+         & 7.4282646574927904_dp, 7.4282116883228602_dp, 7.4280704927999999_dp, 7.4277614940965400_dp, &
+         & 7.4271697408805801_dp, 7.4261407279851701_dp, 7.4244777063050797_dp, 7.4219406608331804_dp, &
+         & 7.4182471045497698_dp, 7.4130747971108297_dp, 7.4060664487608898_dp, 7.3968364098156902_dp, &
+         & 7.3849792735321103_dp, 7.3700802357467197_dp, 7.3517269607179596_dp, 7.3295226036396102_dp, &
+         & 7.3030995428888197_dp, 7.2721332875745102_dp, 7.2363559578221901_dp, 7.1955686960649299_dp, &
+         & 7.1496523659480999_dp, 7.0985759374641804_dp, 7.0424020451759999_dp, 6.9812893388623802_dp, &
+         & 6.9154914155803597_dp, 6.8453523170574897_dp, 6.7712987806031997_dp, 6.6938296271052300_dp, &
+         & 6.6135028377231402_dp, 6.5309209954400602_dp, 6.4467158370745201_dp, 6.3615326703621600_dp, &
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+         & 0.0865070411298063_dp, 0.0846119506444225_dp, 0.0828890945788032_dp, 0.0813331112397577_dp, &
+         & 0.0799375020994688_dp, 0.0786948257734537_dp, 0.0775968733978658_dp, 0.0766348269167167_dp, &
+         & 0.0757994027059468_dp, 0.0750809834416302_dp, 0.0744697412008151_dp, 0.0739557545180531_dp, &
+         & 0.0735291215740261_dp, 0.0731800709297801_dp, 0.0728990703165735_dp, 0.0726769330217252_dp, &
+         & 0.0725049204601120_dp, 0.0723748386720828_dp, 0.0722791258193851_dp, 0.0722109273286762_dp, &
+         & 0.0721641552012287_dp, 0.0721335281895037_dp, 0.0721145900270415_dp, 0.0721037036523029_dp, &
+         & 0.0720980203282551_dp, 0.0720954236492588_dp, 0.0720944495580440_dp, 0.0720941845828236_dp, &
+         & 0.0720941454730735_dp, 0.0720941423953150_dp, 0.0720940863345803_dp, 0.0720937065155240_dp, &
+         & 0.0720923102711595_dp, 0.0720885884782305_dp, 0.0720804438409814_dp, 0.0720648474786429_dp, &
+         & 0.0720377302562483_dp, 0.0719939149918076_dp, 0.0719270952778004_dp, 0.0718298660734220_dp, &
+         & 0.0716938103282203_dp, 0.0715096445534584_dp, 0.0712674243462459_dp, 0.0709568083215544_dp, &
+         & 0.0705673757218293_dp, 0.0700889892585650_dp, 0.0695121907182923_dp, 0.0688286128783915_dp, &
+         & 0.0680313877670926_dp, 0.0671155287607732_dp, 0.0660782629262400_dp, 0.0649192907768992_dp, &
+         & 0.0636409534441853_dp, 0.0622482921500946_dp, 0.0607489915148278_dp, 0.0591532060926525_dp, &
+         & 0.0574732778377509_dp, 0.0557233600912994_dp, 0.0539189702908658_dp, 0.0520764982138715_dp, &
+         & 0.0502126987094869_dp, 0.0483441974013488_dp, 0.0464870349544810_dp, 0.0446562706817630_dp, &
+         & 0.0428656602008886_dp, 0.0411274152843575_dp, 0.0394520476690232_dp, 0.0378482929750206_dp, &
+         & 0.0363231064323273_dp, 0.0348817190517821_dp, 0.0335277412442707_dp, 0.0322633005533817_dp, &
+         & 0.0310892008602721_dp, 0.0300050918313630_dp, 0.0290096392162980_dp, 0.0281006886351278_dp, &
+         & 0.0272754175475924_dp, 0.0265304720368889_dp, 0.0258620867547137_dp, 0.0252661877847373_dp, &
+         & 0.0247384792583603_dp, 0.0242745153161437_dp, 0.0238697594949926_dp, 0.0235196338831329_dp, &
+         & 0.0232195604557788_dp, 0.0229649969081578_dp, 0.0227514690572264_dp, 0.0225746015149966_dp, &
+         & 0.0224301478732372_dp, 0.0223140211199322_dp, 0.0222223244674069_dp, 0.0221513822488006_dp, &
+         & 0.0220977700690455_dp, 0.0220583430125814_dp, 0.0220302604429108_dp, 0.0220110058006568_dp, &
+         & 0.0219983998291013_dp, 0.0219906058284067_dp, 0.0219861258457712_dp, 0.0219837871213571_dp, &
+         & 0.0219827185914312_dp, 0.0219823177574625_dp, 0.0219822087217096_dp, 0.0219821926282933_dp, &
+         & 0.0219821913505953_dp, 0.0219821679352137_dp, 0.0219820092930192_dp, 0.0219814261144649_dp, &
+         & 0.0219798716281048_dp, 0.0219764699442848_dp, 0.0219699563533098_dp, 0.0219586324194267_dp, &
+         & 0.0219403386699497_dp, 0.0219124476034622_dp, 0.0218718795724513_dp, 0.0218151437542815_dp, &
+         & 0.0217384058288062_dp, 0.0216375830559343_dp, 0.0215084661466562_dp, 0.0213468656459455_dp, &
+         & 0.0211487785587465_dp, 0.0209105687870874_dp, 0.0206291528151112_dp, 0.0203021802467092_dp, &
+         & 0.0199281975655978_dp, 0.0195067831351636_dp, 0.0190386422119388_dp, 0.0185256527216495_dp, &
+         & 0.0179708556814404_dp, 0.0173783881956382_dp, 0.0167533614668258_dp, 0.0161016907026834_dp, &
+         & 0.0154298876202148_dp, 0.0147448290337806_dp, 0.0140535165186932_dp, 0.0133628422706522_dp, &
+         & 0.0126793750277940_dp, 0.0120091773806337_dp, 0.0113576622564580_dp, 0.0107294923831560_dp, &
+         & 0.0101285228095165_dp, 0.0095577836227036_dp, 0.0090194979796294_dp, 0.0085151292145511_dp, &
+         & 0.0080454498534976_dp, 0.0076106249170067_dp, 0.0072103022072198_dp, 0.0068437034528159_dp, &
+         & 0.0065097118599127_dp, 0.0062069531520308_dp, 0.0059338681710628_dp, 0.0056887756633372_dp, &
+         & 0.0054699244134611_dp, 0.0052755346760165_dp, 0.0051038297541766_dp, 0.0049530592215206_dp, &
+         & 0.0048215154553617_dp, 0.0047075449396701_dp, 0.0046095554862831_dp, 0.0045260203388935_dp, &
+         & 0.0044554800940446_dp, 0.0043965433863562_dp, 0.0043478872198719_dp, 0.0043082576454623_dp, &
+         & 0.0042764712253174_dp, 0.0042514174553148_dp, 0.0042320620831617_dp, 0.0042174510793345_dp, &
+         & 0.0042067148862870_dp, 0.0041990724820309_dp, 0.0041938347442354_dp, 0.0041904065934375_dp, &
+         & 0.0041882874319015_dp, 0.0041870694753641_dp, 0.0041864336940876_dp, 0.0041861432236132_dp, &
+         & 0.0041860342618705_dp, 0.0041860046219924_dp, 0.0041860002472092_dp, 0.0041859998966913_dp, &
+         & 0.0041859934327419_dp, 0.0041859496387318_dp, 0.0041857886503607_dp, 0.0041853595380488_dp, &
+         & 0.0041844205557169_dp, 0.0041826227499868_dp, 0.0041794977826513_dp, 0.0041744508466977_dp, &
+         & 0.0041667595747157_dp, 0.0041555798221253_dp, 0.0041399591235631_dp, 0.0041188584311058_dp, &
+         & 0.0040911824186338_dp, 0.0040558181601114_dp, 0.0040116813661086_dp, 0.0039577686255825_dp, &
+         & 0.0038932133093823_dp, 0.0038173420264442_dp, 0.0037297278739885_dp, 0.0036302362870373_dp, &
+         & 0.0035190591804337_dp, 0.0033967334217380_dp, 0.0032641406039104_dp, 0.0031224866502129_dp, &
+         & 0.0029732618332048_dp, 0.0028181839191959_dp, 0.0026591288072098_dp, 0.0024980538183712_dp, &
+         & 0.0023369187712845_dp, 0.0021776096708734_dp, 0.0020218697515375_dp, 0.0018712426460397_dp, &
+         & 0.0017270317914182_dp, 0.0015902780969626_dp, 0.0014617547657423_dp, 0.0013419756174713_dp, &
+         & 0.0012312128952345_dp, 0.0011295221883429_dp, 0.0010367736916308_dp, 0.0009526885375806_dp, &
+         & 0.0008768766657354_dp, 0.0008088711796432_dp, 0.0007481556550033_dp, 0.0006941847426276_dp, &
+         & 0.0006464013450085_dp, 0.0006042532085004_dp, 0.0005672088041067_dp, 0.0005347695919298_dp, &
+         & 0.0005064756779944_dp, 0.0004819049666338_dp, 0.0004606691820683_dp, 0.0004424101599341_dp, &
+         & 0.0004267976525725_dp, 0.0004135285726434_dp, 0.0004023270890130_dp, 0.0003929443206019_dp, &
+         & 0.0003851564828636_dp, 0.0003787616303654_dp, 0.0003735761708086_dp, 0.0003694321690944_dp, &
+         & 0.0003661757023821_dp, 0.0003636660138469_dp, 0.0003617751375984_dp, 0.0003603877746485_dp, &
+         & 0.0003594012896713_dp, 0.0003587257345359_dp, 0.0003582838162046_dp, 0.0003580107336489_dp, &
+         & 0.0003578538168654_dp, 0.0003577719149774_dp, 0.0003577344985572_dp, 0.0003577204632066_dp, &
+         & 0.0003577166453255_dp, 0.0003577160818224_dp, 0.0003577160362909_dp, 0.0003577151918677_dp, &
+         & 0.0003577094708760_dp, 0.0003576884404453_dp, 0.0003576323852954_dp, 0.0003575097316499_dp, &
+         & 0.0003572749184997_dp, 0.0003568668376843_dp, 0.0003562079753578_dp, 0.0003552044005488_dp, &
+         & 0.0003537467606023_dp, 0.0003517124546377_dp, 0.0003489691563630_dp, 0.0003453798285307_dp, &
+         & 0.0003408092837986_dp, 0.0003351321608278_dp, 0.0003282418792310_dp, 0.0003200597431743_dp, &
+         & 0.0003105430039270_dp, 0.0002996905651429_dp, 0.0002875453333502_dp, 0.0002741931122969_dp, &
+         & 0.0002597594531863_dp, 0.0002444075122128_dp, 0.0002283391989053_dp, 0.0002117957011052_dp, &
+         & 0.0001950470993464_dp, 0.0001783695192046_dp, 0.0001620236710593_dp, 0.0001462389939988_dp, &
+         & 1.3119975110242901e-04_dp, 1.1703134152441000e-04_dp, 1.0384746597225100e-04_dp, 9.1734304071167103e-05_dp, &
+         & 8.0724116756414305e-05_dp, 7.0822014542670799e-05_dp, 6.1960244941872106e-05_dp, 5.4019202735844401e-05_dp, &
+         & 4.7000739215263800e-05_dp, 4.0788387941859101e-05_dp, 3.5303702752287302e-05_dp, 3.0502306749724499e-05_dp, &
+         & 2.6235229498183799e-05_dp, 2.2197715225047401e-05_dp, 1.8261571682387502e-05_dp, 1.4416298867558899e-05_dp, &
+         & 1.0629225904779100e-05_dp, 7.1000230690287902e-06_dp, 4.0634328328792401e-06_dp, 1.6753265370539301e-06_dp, &
+         & 6.7933632408312395e-07_dp, 6.9540317326754998e-07_dp, 0.0000000000000000e+00_dp, 7.5131475085754605e-07_dp, &
+         & 8.9689083182520303e-07_dp, 8.4650547904630002e-07_dp, 7.2100368697647397e-07_dp, 6.0578562255386704e-07_dp, &
+         & 5.3765567287200600e-07_dp, 5.0945627805276704e-07_dp, 4.9329437246114996e-07_dp, 4.6785590512854501e-07_dp, &
+         &  4.2532497701586202e-07_dp, 3.6785504420322500e-07_dp, 3.0221571734045901e-07_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, -7.1054273576010003e-15_dp, &
+         &  0.0000000000000000e+00_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, 0.0000000000000000e+00_dp, &
+         & 0.0000000000000000_dp &
+         &]
+      case (35)
+         out = [&
+         & 35.0000000000000000_dp, 34.9999999722420014_dp, 34.9999991139108033_dp, 34.9999932985816002_dp, &
+         & 34.9999719206792008_dp, 34.9999149339905031_dp, 34.9997902146872022_dp, 34.9995513418808031_dp, &
+         & 34.9991358761607003_dp, 34.9984642015034026_dp, 34.9974389788647002_dp, 34.9959452412884033_dp, &
+         & 34.9938511411627005_dp, 34.9910093410615985_dp, 34.9872590211471035_dp, 34.9824284590497001_dp, &
+         & 34.9763381230514980_dp, 34.9688042066439024_dp, 34.9596425223017988_dp, 34.9486726645398988_dp, &
+         & 34.9357223467108966_dp, 34.9206318121388009_dp, 34.9032582175291992_dp, 34.8834798847367011_dp, &
+         & 34.8612003156125994_dp, 34.8363518638850991_dp, 34.8088989582315023_dp, 34.7788407726726021_dp, &
+         & 34.7462132451921022_dp, 34.7110903541554023_dp, 34.6735845756590990_dp, 34.6338464639432004_dp, &
+         & 34.5920633214371023_dp, 34.5484569541726003_dp, 34.5032805407645000_dp, 34.4568146769407022_dp, &
+         & 34.4093626903817977_dp, 34.3612453500182013_dp, 34.3127951178135007_dp, 34.2643501078423967_dp, &
+         & 34.2162479262091992_dp, 34.1688195658960012_dp, 34.1223835234929993_dp, 34.0772402910473033_dp, &
+         & 34.0336673574339983_dp, 33.9919148313314992_dp, 33.9522017736712982_dp, 33.9147133027312009_dp, &
+         & 33.8795985109826034_dp, 33.8469692101698030_dp, 33.8168995003782982_dp, 33.7894261402374028_dp, &
+         & 33.7645496788987032_dp, 33.7422362959143030_dp, 33.7224202824183976_dp, 33.7050070859394992_dp, &
+         & 33.6898768316046997_dp, 33.6768882244374979_dp, 33.6658827309359978_dp, 33.6566889333115000_dp, &
+         & 33.6491269468684990_dp, 33.6430127902591991_dp, 33.6381625999801983_dp, 33.6343965846928015_dp, &
+         & 33.6315426218523967_dp, 33.6294394087441972_dp, 33.6279390922292976_dp, 33.6269093160740979_dp, &
+         & 33.6262346413079030_dp, 33.6258173131609013_dp, 33.6255773672250982_dp, 33.6254520869489966_dp, &
+         & 33.6253948437866015_dp, 33.6253733696461978_dp, 33.6253675281353992_dp, 33.6253666659398007_dp, &
+         & 33.6253665528379031_dp, 33.6253639176995023_dp, 33.6253460642316000_dp, 33.6252804327381014_dp, &
+         & 33.6251054812978012_dp, 33.6247225943282970_dp, 33.6239892815788011_dp, 33.6227139244245024_dp, &
+         & 33.6206522857935965_dp, 33.6175059539001992_dp, 33.6129228390747983_dp, 33.6064997883525010_dp, &
+         & 33.5977873252009971_dp, 33.5862964630609966_dp, 33.5715074824908015_dp, 33.5528805038135971_dp, &
+         & 33.5298676311399007_dp, 33.5019263899356972_dp, 33.4685341289431975_dp, 33.4292030080721005_dp, &
+         & 33.3834951469848988_dp, 33.3310374656799979_dp, 33.2715357113882035_dp, 33.2047871408009030_dp, &
+         & 33.1306913204192028_dp, 33.0492585292309968_dp, 32.9606153048533983_dp, 32.8650067715487992_dp, &
+         & 32.7627955255629004_dp, 32.6544570226318029_dp, 32.5405715999989980_dp, 32.4218134515466971_dp, &
+         & 32.2989370385754029_dp, 32.1727615415035970_dp, 32.0441540264660034_dp, 31.9140120110109002_dp, &
+         & 31.7832460693560996_dp, 31.6527630319028006_dp, 31.5234502223943984_dp, 31.3961610566590998_dp, &
+         & 31.2717022143948995_dp, 31.1508225005442014_dp, 31.0342034406886000_dp, 30.9224516058386989_dp, &
+         & 30.8160926326258000_dp, 30.7155668898846983_dp, 30.6212267362561015_dp, 30.5333353107902994_dp, &
+         & 30.4520667960936002_dp, 30.3775080892638982_dp, 30.3096618089023018_dp, 30.2484505568822009_dp, &
+         & 30.1937223417163985_dp, 30.1452570568286013_dp, 30.1027738922939001_dp, 30.0659395430881986_dp, &
+         & 30.0343770609840988_dp, 30.0076751814474996_dp, 29.9853979418741012_dp, 29.9670943941236985_dp, &
+         & 29.9523082036058987_dp, 29.9405869203347983_dp, 29.9314907056055013_dp, 29.9246003023637002_dp, &
+         & 29.9195240488208007_dp, 29.9159037539113015_dp, 29.9134192798728016_dp, 29.9117917110817011_dp, &
+         & 29.9107850283334002_dp, 29.9102062525752004_dp, 29.9099040698544982_dp, 29.9097659978780008_dp, &
+         & 29.9097142019575983_dp, 29.9097001121777986_dp, 29.9096980325547008_dp, 29.9096978489634999_dp, &
+         & 29.9096942515853002_dp, 29.9096698788086997_dp, 29.9095802817591014_dp, 29.9093414478091013_dp, &
+         & 29.9088187599117994_dp, 29.9078177284465987_dp, 29.9060768586878005_dp, 29.9032629686793996_dp, &
+         & 29.8989692165469982_dp, 29.8927160326418999_dp, 29.8839550795572002_dp, 29.8720762811560014_dp, &
+         & 29.8564178698253002_dp, 29.8362792995912010_dp, 29.8109367631675006_dp, 29.7796609367719007_dp, &
+         & 29.7417364628430008_dp, 29.6964825745768017_dp, 29.6432741758837999_dp, 29.5815626248684005_dp, &
+         & 29.5108954366885996_dp, 29.4309341291032993_dp, 29.3414694842924995_dp, 29.2424335923939012_dp, &
+         & 29.1339081696607991_dp, 29.0161287971994994_dp, 28.8894848926286016_dp, 28.7545153947746996_dp, &
+         & 28.6119003017158988_dp, 28.4624483507867012_dp, 28.3070812655969988_dp, 28.1468151214324998_dp, &
+         & 27.9827394958591000_dp, 27.8159951688181017_dp, 27.6477512014241995_dp, 27.4791822365930010_dp, &
+         & 27.3114468126835988_dp, 27.1456673608160983_dp, 26.9829123815766998_dp, 26.8241810964123992_dp, &
+         & 26.6703906780986983_dp, 26.5223660128854988_dp, 26.3808318500581009_dp, 26.2464071523163014_dp, &
+         & 26.1196014598695996_dp, 26.0008131044869018_dp, 25.8903291401934013_dp, 25.7883268833567989_dp, &
+         & 25.6948769710168996_dp, 25.6099478517115990_dp, 25.5334116196038998_dp, 25.4650510931109011_dp, &
+         & 25.4045680258155002_dp, 25.3515923217534009_dp, 25.3056921100378993_dp, 25.2663845156059992_dp, &
+         & 25.2331469439907998_dp, 25.2054286790033011_dp, 25.1826625739881997_dp, 25.1642766012389991_dp, &
+         & 25.1497050118860983_dp, 25.1383988519079011_dp, 25.1298355806285016_dp, 25.1235275476355007_dp, &
+         & 25.1190291034777999_dp, 25.1159421491671004_dp, 25.1139199690253996_dp, 25.1126692396659017_dp, &
+         & 25.1119501630404010_dp, 25.1115747311161002_dp, 25.1114031910861009_dp, 25.1113388401616007_dp, &
+         & 25.1113213351179994_dp, 25.1113187514091010_dp, 25.1113185441637015_dp, 25.1113147194344002_dp, &
+         & 25.1112888063220012_dp, 25.1111935468520002_dp, 25.1109396190994012_dp, 25.1103838994498005_dp, &
+         & 25.1093196107774013_dp, 25.1074687441861002_dp, 25.1044770914875990_dp, 25.0999121672956989_dp, &
+         & 25.0932642328179014_dp, 25.0839505570485990_dp, 25.0713229639769004_dp, 25.0546786159367016_dp, &
+         & 25.0332738735964995_dp, 25.0063409540432993_dp, 24.9731069836003989_dp, 24.9328149171634017_dp, &
+         & 24.8847456787249008_dp, 24.8282407777122991_dp, 24.7627245827466993_dp, 24.6877253977758002_dp, &
+         & 24.6028944924243014_dp, 24.5080222924500006_dp, 24.4030510364057989_dp, 24.2880833451722005_dp, &
+         & 24.1633863220074012_dp, 24.0293909898001985_dp, 23.8866870665757993_dp, 23.7360132689390007_dp, &
+         & 23.5782435076330010_dp, 23.4143694939386009_dp, 23.2454804057821995_dp, 23.0727403637038009_dp, &
+         & 22.8973645339093004_dp, 22.7205947027389001_dp, 22.5436751494673011_dp, 22.3678295811968013_dp, &
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+         &  4.1165308317658898e-07_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, 7.0176861299842099e-07_dp, &
+         & 9.8270419357504600e-07_dp, 1.1007323905687399e-06_dp, 1.0445610882925400e-06_dp, 8.4387802701257897e-07_dp, &
+         &  5.5453316605280602e-07_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp &
+         &]
+      case (36)
+         out = [&
+         & 36.0000000000000000_dp, 35.9999999710689025_dp, 35.9999990764622027_dp, 35.9999930153608005_dp, &
+         & 35.9999707339678992_dp, 35.9999113388581975_dp, 35.9997813485471028_dp, 35.9995323802195983_dp, &
+         & 35.9990993554543977_dp, 35.9983992930622989_dp, 35.9973307393538988_dp, 35.9957738668830984_dp, &
+         & 35.9935912527007034_dp, 35.9906293271582030_dp, 35.9867204650916008_dp, 35.9816856734824029_dp, &
+         & 35.9753378140339990_dp, 35.9674852858927991_dp, 35.9579360831735997_dp, 35.9465021339225999_dp, &
+         & 35.9330038213579002_dp, 35.9172745841918015_dp, 35.8991654899969035_dp, 35.8785496734662033_dp, &
+         & 35.8553265297556010_dp, 35.8294255519662030_dp, 35.8008097016950018_dp, 35.7694782033043026_dp, &
+         & 35.7354686572926994_dp, 35.6988583770844983_dp, 35.6597648677673007_dp, 35.6183453853931979_dp, &
+         & 35.5747955414046970_dp, 35.5293469477454025_dp, 35.4822639327269016_dp, 35.4338393935732014_dp, &
+         & 35.3843898862455006_dp, 35.3342500841088025_dp, 35.2837667619799973_dp, 35.2332924794201006_dp, &
+         & 35.1831791458571033_dp, 35.1337716501371986_dp, 35.0854017290154019_dp, 35.0383822341371030_dp, &
+         & 34.9930019368323002_dp, 34.9495209862902030_dp, 34.9081671111157021_dp, 34.8691326283593028_dp, &
+         & 34.8325722990311988_dp, 34.7986020456582992_dp, 34.7672985260876999_dp, 34.7386995386523978_dp, &
+         & 34.7128052169614989_dp, 34.6895799577912030_dp, 34.6689550126232007_dp, 34.6508316621063983_dp, &
+         & 34.6350848829830014_dp, 34.6215674087752987_dp, 34.6101140788520993_dp, 34.6005463655215024_dp, &
+         & 34.5926769657758015_dp, 34.5863143434796001_dp, 34.5812671094183983_dp, 34.5773481309079003_dp, &
+         & 34.5743782697452033_dp, 34.5721896571824985_dp, 34.5706284272106998_dp, 34.5695568445302968_dp, &
+         & 34.5688547807694988_dp, 34.5684205113226000_dp, 34.5681708250294975_dp, 34.5680404591794002_dp, &
+         & 34.5679808923237033_dp, 34.5679585464772998_dp, 34.5679524678404988_dp, 34.5679515706454978_dp, &
+         & 34.5679514529523999_dp, 34.5679487108452008_dp, 34.5679301326473976_dp, 34.5678618369653989_dp, &
+         & 34.5676797837422001_dp, 34.5672813545172986_dp, 34.5665182758117027_dp, 34.5651911532906979_dp, &
+         & 34.5630458423829978_dp, 34.5597718332214967_dp, 34.5550027750212010_dp, 34.5483192082949984_dp, &
+         & 34.5392535137125023_dp, 34.5272970251599034_dp, 34.5119091929288970_dp, 34.4925286221296972_dp, &
+         & 34.4685857523000010_dp, 34.4395168872475992_dp, 34.4047792294988000_dp, 34.3638665212147032_dp, &
+         & 34.3163248433775010_dp, 34.2617680788466998_dp, 34.1998925058942973_dp, 34.1304899628184018_dp, &
+         & 34.0534590191594972_dp, 33.9688136140028973_dp, 33.8766886849879967_dp, 33.7773424176625028_dp, &
+         & 33.6711548924955011_dp, 33.5586230876076002_dp, 33.4403523933160969_dp, 33.3170449889947022_dp, &
+         & 33.1894856011431969_dp, 33.0585252844308002_dp, 32.9250639321233010_dp, 32.7900322252405019_dp, &
+         & 32.6543736770166007_dp, 32.5190273344267027_dp, 32.3849115796732008_dp, 32.2529093500280979_dp, &
+         & 32.1238549797562030_dp, 31.9985227733182995_dp, 31.8776173491394985_dp, 31.7617657472182984_dp, &
+         & 31.6515112674584991_dp, 31.5473089927861992_dp, 31.4495229458215988_dp, 31.3584248251383997_dp, &
+         & 31.2741942636777992_dp, 31.1969205459706984_dp, 31.1266057120488995_dp, 31.0631689645884990_dp, &
+         & 31.0064522825541999_dp, 30.9562271299975009_dp, 30.9122021331812995_dp, 30.8740315831915986_dp, &
+         & 30.8413246049700014_dp, 30.8136548176575005_dp, 30.7905702958839989_dp, 30.7716036280026017_dp, &
+         & 30.7562818563228006_dp, 30.7441360773715004_dp, 30.7347104783618015_dp, 30.7275705905645999_dp, &
+         & 30.7223105520731004_dp, 30.7185591920855003_dp, 30.7159847763840013_dp, 30.7142982886948985_dp, &
+         & 30.7132551640715015_dp, 30.7126554368625015_dp, 30.7123423153086996_dp, 30.7121992452232995_dp, &
+         & 30.7121455743290994_dp, 30.7121309745100000_dp, 30.7121288196061002_dp, 30.7121286293691007_dp, &
+         & 30.7121249017685010_dp, 30.7120996467161014_dp, 30.7120068063246983_dp, 30.7117593267936009_dp, &
+         & 30.7112177181397996_dp, 30.7101804507266003_dp, 30.7083765649874998_dp, 30.7054608207431983_dp, &
+         & 30.7010116548354013_dp, 30.6945321499372987_dp, 30.6854541424965994_dp, 30.6731455129261015_dp, &
+         & 30.6569206058867003_dp, 30.6360536231901008_dp, 30.6097947182074002_dp, 30.5773884021731988_dp, &
+         & 30.5380937548091005_dp, 30.4912058215078012_dp, 30.4360774855855993_dp, 30.3721410360390998_dp, &
+         & 30.2989286174367010_dp, 30.2160907555283984_dp, 30.1234122029188001_dp, 30.0208244422838000_dp, &
+         & 29.9084143140097005_dp, 29.7864283908936009_dp, 29.6552728928936986_dp, 29.5155091089088017_dp, &
+         & 29.3678444624511990_dp, 29.2131195204979015_dp, 29.0522913995822982_dp, 28.8864141699885018_dp, &
+         & 28.7166169926242993_dp, 28.5440808308975988_dp, 28.3700146418740005_dp, 28.1956319465603009_dp, &
+         & 28.0221285964145999_dp, 27.8506623972761993_dp, 27.6823350471630008_dp, 27.5181766281256017_dp, &
+         & 27.3591327026660984_dp, 27.2060539288107996_dp, 27.0596880334055001_dp, 26.9206739622938009_dp, &
+         & 26.7895380403960992_dp, 26.6666920042001010_dp, 26.5524327980939994_dp, 26.4469440455473013_dp, &
+         & 26.3502991138756002_dp, 26.2624656888131014_dp, 26.1833117655544001_dp, 26.1126129494208001_dp, &
+         & 26.0500609439535999_dp, 25.9952730880725014_dp, 25.9478027871600005_dp, 25.9071506654733987_dp, &
+         & 25.8727762491074991_dp, 25.8441099702193000_dp, 25.8205652652554996_dp, 25.8015505238722014_dp, &
+         & 25.7864806328534009_dp, 25.7747878525687000_dp, 25.7659317642216017_dp, 25.7594080359455013_dp, &
+         & 25.7547557757709988_dp, 25.7515632700389006_dp, 25.7494719466009983_dp, 25.7481784519706984_dp, &
+         & 25.7474347885667996_dp, 25.7470465198398983_dp, 25.7468691145028998_dp, 25.7468025632886999_dp, &
+         & 25.7467844597119004_dp, 25.7467817876607015_dp, 25.7467815733292014_dp, 25.7467776178245984_dp, &
+         & 25.7467508186899998_dp, 25.7466523021053000_dp, 25.7463896920521016_dp, 25.7458149712558004_dp, &
+         & 25.7447142925618984_dp, 25.7428001416902994_dp, 25.7397062001370003_dp, 25.7349851967403005_dp, &
+         & 25.7281099673913012_dp, 25.7184778634387996_dp, 25.7054185593576001_dp, 25.6882052085192001_dp, &
+         & 25.6660687826867004_dp, 25.6382153079719011_dp, 25.6038455811517984_dp, 25.5621768213711000_dp, &
+         & 25.5124655912976017_dp, 25.4540312182686996_dp, 25.3862788700072990_dp, 25.3087214005352017_dp, &
+         & 25.2209990872568000_dp, 25.1228964335142990_dp, 25.0143553114196990_dp, 24.8954838619679997_dp, &
+         & 24.7665607439238009_dp, 24.6280345180303009_dp, 24.4805181565299002_dp, 24.3247788688404007_dp, &
+         & 24.1617236234319996_dp, 23.9923809161267982_dp, 23.8178794794272015_dp, 23.6394247390551016_dp, &
+         & 23.4582738951668013_dp, 23.2757105298809996_dp, 23.0930196156028984_dp, 22.9114637206958989_dp, &
+         & 22.7322610868768997_dp, 22.5565660986265009_dp, 22.3854524952236993_dp, 22.2198995081994006_dp, &
+         & 22.0607809566505999_dp, 21.9088572112550004_dp, 21.7647698507546998_dp, 21.6290387824383998_dp, &
+         & 21.5020615766169989_dp, 21.3841147673570013_dp, 21.2753568898206993_dp, 21.1758330507862986_dp, &
+         & 21.0854808568665995_dp, 21.0041375498358001_dp, 20.9315482172317999_dp, 20.8673749573952989_dp, &
+         & 20.8112068808562007_dp, 20.7625708248406013_dp, 20.7209426456132988_dp, 20.6857589358290994_dp, &
+         & 20.6564289928215992_dp, 20.6323468409270987_dp, 20.6129030888460996_dp, 20.5974963841585001_dp, &
+         & 20.5855442139020006_dp, 20.5764927948778009_dp, 20.5698258019664983_dp, 20.5650716985600006_dp, &
+         & 20.5618094608054989_dp, 20.5596725264407993_dp, 20.5583508483966995_dp, 20.5575909910283983_dp, &
+         & 20.5571942701165007_dp, 20.5570130034827017_dp, 20.5569450038559012_dp, 20.5569265062847002_dp, &
+         & 20.5569237760810992_dp, 20.5569235655014992_dp, 20.5569197841679987_dp, 20.5568941650719985_dp, &
+         & 20.5567999864811988_dp, 20.5565489402939008_dp, 20.5559995285954997_dp, 20.5549473269812992_dp, &
+         & 20.5531175004691988_dp, 20.5501599094095013_dp, 20.5456470867435002_dp, 20.5390753033269995_dp, &
+         & 20.5298688633757003_dp, 20.5173876859217010_dp, 20.5009381294407014_dp, 20.4797869054813013_dp, &
+         & 20.4531778047307000_dp, 20.4203508290490987_dp, 20.3805631914516994_dp, 20.3331115209130004_dp, &
+         & 20.2773545001837014_dp, 20.2127350835617996_dp, 20.1388013986261001_dp, 20.0552254406199992_dp, &
+         & 19.9618187265520000_dp, 19.8585441896300985_dp, 19.7455237591477015_dp, 19.6230412761540016_dp, &
+         & 19.4915406255062003_dp, 19.3516192007339001_dp, 19.2040170387952998_dp, 19.0496021482843005_dp, &
+         & 18.8893526928505011_dp, 18.7243367745073002_dp, 18.5556905901467992_dp, 18.3845957171091001_dp, &
+         & 18.2122562328262987_dp, 18.0398763032560012_dp, 17.8686387965342988_dp, 17.6996853988170990_dp, &
+         & 17.5340986302594999_dp, 17.3728860784489001_dp, 17.2169670813194990_dp, 17.0671620004848990_dp, &
+         & 16.9241841314835000_dp, 16.7886342056843993_dp, 16.6609973575406016_dp, 16.5416423679670999_dp, &
+         & 16.4308229545499991_dp, 16.3286808627949007_dp, 16.2352505166020009_dp, 16.1504650048313003_dp, &
+         & 16.0741632073115994_dp, 16.0060978914467000_dp, 15.9459446344918003_dp, 15.8933114432111999_dp, &
+         & 15.8477489503203000_dp, 15.8087610656974995_dp, 15.7758159508001992_dp, 15.7483571688376003_dp, &
+         & 15.7258148434018992_dp, 15.7076166371426993_dp, 15.6931983425527992_dp, 15.6820138618490006_dp, &
+         & 15.6735443448859009_dp, 15.6673062552129991_dp, 15.6628581463144005_dp, 15.6598059535175000_dp, &
+         & 15.6578066418580004_dp, 15.6565700952849003_dp, 15.6558591860364995_dp, 15.6554880221891004_dp, &
+         & 15.6553184331853004_dp, 15.6552548143048007_dp, 15.6552375084087991_dp, 15.6552349540940998_dp, &
+         & 15.6552347606890994_dp, 15.6552313345386995_dp, 15.6552081218619001_dp, 15.6551227895481002_dp, &
+         & 15.6548953244813003_dp, 15.6543975204739994_dp, 15.6534441575394005_dp, 15.6517862241496992_dp, &
+         & 15.6491064898710999_dp, 15.6450176856748993_dp, 15.6390634913295994_dp, 15.6307224621908993_dp, &
+         & 15.6194149499864992_dp, 15.6045129827947004_dp, 15.5853529682495999_dp, 15.5612509723788008_dp, &
+         & 15.5315202075383993_dp, 15.4954902418021003_dp, 15.4525273260763001_dp, 15.4020551329537003_dp, &
+         & 15.3435751227696002_dp, 15.2766857074092002_dp, 15.2010993800173999_dp, 15.1166570253950994_dp, &
+         & 15.0233387244267007_dp, 14.9212705145061992_dp, 14.8107267592904996_dp, 14.6921280021523000_dp, &
+         & 14.5660344104651003_dp, 14.4331351411353008_dp, 14.2942341501948000_dp, 14.1502331128652994_dp, &
+         & 14.0021122045104001_dp, 13.8509095160094997_dp, 13.6976998475747997_dp, 13.5435735580298005_dp, &
+         & 13.3896160595694997_dp, 13.2368884560878008_dp, 13.0864097355312996_dp, 12.9391408461412993_dp, &
+         & 12.7959709107443995_dp, 12.6577057584837007_dp, 12.5250588767243993_dp, 12.3986448074020998_dp, &
+         & 12.2789749349746007_dp, 12.1664555426196994_dp, 12.0613879550065999_dp, 11.9639705442743995_dp, &
+         & 11.8743023529990008_dp, 11.7923880835401995_dp, 11.7181442145672001_dp, 11.6514060284709000_dp, &
+         & 11.5919353626659003_dp, 11.5394289283710005_dp, 11.4935270678479995_dp, 11.4538228418961001_dp, &
+         & 11.4198713515263002_dp, 11.3911992004713003_dp, 11.3673139990428993_dp, 11.3477137964940002_dp, &
+         & 11.3318963109663997_dp, 11.3193678063703000_dp, 11.3096514474291006_dp, 11.3022949508518007_dp, &
+         & 11.2968773449322999_dp, 11.2930146539628993_dp, 11.2903643388890007_dp, 11.2886283518619006_dp, &
+         & 11.2875546989439997_dp, 11.2869374504494999_dp, 11.2866151897513998_dp, 11.2864679458671002_dp, &
+         & 11.2864127095526001_dp, 11.2863976839309998_dp, 11.2863954661806005_dp, 11.2863952996933996_dp, &
+         & 11.2863923693294002_dp, 11.2863725156836008_dp, 11.2862995315963008_dp, 11.2861049829283004_dp, &
+         & 11.2856792184996007_dp, 11.2848638308817009_dp, 11.2834458718663004_dp, 11.2811540917080002_dp, &
+         & 11.2776574308701996_dp, 11.2725659457896992_dp, 11.2654342944864005_dp, 11.2557678419750005_dp, &
+         & 11.2430313681496994_dp, 11.2266602717434996_dp, 11.2060740641625003_dp, 11.1806918392260997_dp, &
+         & 11.1499492937486995_dp, 11.1133167659625993_dp, 11.0703176619235002_dp, 11.0205465630508996_dp, &
+         & 10.9636862595975995_dp, 10.8995229429238005_dp, 10.8279588197768994_dp, 10.7490214873511007_dp, &
+         & 10.6628695282484003_dp, 10.5697939453805994_dp, 10.4702152504153005_dp, 10.3646762343151000_dp, &
+         & 10.2538306708796991_dp, 10.1384284182295001_dp, 10.0192975725331994_dp, 9.8973244775453697_dp, &
+         & 9.7734324897905598_dp, 9.6485604339023894_dp, 9.5236416527895909_dp, 9.3995844665452299_dp, &
+         & 9.2772547123410707_dp, 9.1574608601836207_dp, 9.0409420047811899_dp, 8.9283588409256502_dp, &
+         & 8.8202875558185792_dp, 8.7172164297178494_dp, 8.6195448339354002_dp, 8.5275842548625604_dp, &
+         & 8.4415609517461405_dp, 8.3616198681724505_dp, 8.2878294543089392_dp, 8.2201871099138906_dp, &
+         & 8.1586250184908309_dp, 8.1030162035790294_dp, 8.0531806935728198_dp, 8.0088917279477805_dp, &
+         & 7.9698819732220603_dp, 7.9358497405904300_dp, 7.9064652091344998_dp, 7.8813766597718304_dp, &
+         & 7.8602167171239001_dp, 7.8426085811124997_dp, 7.8281722094789004_dp, 7.8165303889150399_dp, &
+         & 7.8073146085884604_dp, 7.8001706280422800_dp, 7.7947636141547196_dp, 7.7907827111597703_dp, &
+         & 7.7879449053101597_dp, 7.7859980526179999_dp, 7.7847229544936196_dp, 7.7839343914537800_dp, &
+         & 7.7834810580372098_dp, 7.7832443806277398_dp, 7.7831362415611602_dp, 7.7830956749927900_dp, &
+         & 7.7830846399147502_dp, 7.7830830111607900_dp, 7.7830828892615500_dp, 7.7830807486495699_dp, &
+         & 7.7830662456957400_dp, 7.7830129314116796_dp, 7.7828708159374598_dp, 7.7825598039234896_dp, &
+         & 7.7819641949012501_dp, 7.7809284764815398_dp, 7.7792546161998599_dp, 7.7767010318517302_dp, &
+         & 7.7729833886000899_dp, 7.7677773318495600_dp, 7.7607232156069097_dp, 7.7514328249047502_dp, &
+         & 7.7394980169210204_dp, 7.7245011192487301_dp, 7.7060268278984498_dp, 7.6836752468417897_dp, &
+         & 7.6570756122719699_dp, 7.6259001572095197_dp, 7.5898775057087597_dp, 7.5488049508466597_dp, &
+         & 7.5025589756678199_dp, 7.4511034272278103_dp, 7.3944948525110004_dp, 7.3328846477776599_dp, &
+         & 7.2665178507469497_dp, 7.1957286038023396_dp, 7.1209325182581500_dp, 7.0426163552191801_dp, &
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+         & 0.0292295307691717_dp, 0.0278235708930765_dp, 0.0265368746259966_dp, 0.0253656307828578_dp, &
+         & 0.0243051292796110_dp, 0.0233500004105807_dp, 0.0224944212557077_dp, 0.0217322879678505_dp, &
+         & 0.0210573549634319_dp, 0.0204633436965338_dp, 0.0199440247904406_dp, 0.0194932779118986_dp, &
+         & 0.0191051339894344_dp, 0.0187738042817358_dp, 0.0184937004671113_dp, 0.0182594494132218_dp, &
+         & 0.0180659056452726_dp, 0.0179081638052523_dp, 0.0177815726204287_dp, 0.0176817511149352_dp, &
+         & 0.0176046070437508_dp, 0.0175463568438303_dp, 0.0175035458250861_dp, 0.0174730669016014_dp, &
+         & 0.0174521759206385_dp, 0.0174385016000826_dp, 0.0174300482341465_dp, 0.0174251896545883_dp, &
+         & 0.0174226534055464_dp, 0.0174214946562827_dp, 0.0174210599830005_dp, 0.0174209417426141_dp, &
+         & 0.0174209242906187_dp, 0.0174209229172249_dp, 0.0174208979011681_dp, 0.0174207284144856_dp, &
+         & 0.0174201053738514_dp, 0.0174184446560162_dp, 0.0174148106202452_dp, 0.0174078525572199_dp, &
+         & 0.0173957572773418_dp, 0.0173762211069075_dp, 0.0173464445854066_dp, 0.0173031530637004_dp, &
+         & 0.0172426460785076_dp, 0.0171608777028709_dp, 0.0170535689383158_dp, 0.0169163515497459_dp, &
+         & 0.0167449405476390_dp, 0.0165353298771294_dp, 0.0162840029762350_dp, 0.0159881470168202_dp, &
+         & 0.0156458572318243_dp, 0.0152563161958099_dp, 0.0148199326714789_dp, 0.0143384259686741_dp, &
+         & 0.0138148448030577_dp, 0.0132535142659265_dp, 0.0126599103285372_dp, 0.0120404676761439_dp, &
+         & 0.0114023328107393_dp, 0.0107530794625745_dp, 0.0101004067067905_dp, 0.0094518413364924_dp, &
+         & 0.0088144648700208_dp, 0.0081946822974430_dp, 0.0075980448250093_dp, 0.0070291331818808_dp, &
+         & 0.0064915022868632_dp, 0.0059876829386809_dp, 0.0055192322111353_dp, 0.0050868216979296_dp, &
+         & 0.0046903517032248_dp, 0.0043290797526794_dp, 0.0040017530921119_dp, 0.0037067367717967_dp, &
+         & 0.0034421311186534_dp, 0.0032058745812478_dp, 0.0029958298891799_dp, 0.0028098530796328_dp, &
+         & 0.0026458461578898_dp, 0.0025017949752808_dp, 0.0023757943688736_dp, 0.0022660627815014_dp, &
+         & 0.0021709485516439_dp, 0.0020889299050637_dp, 0.0020186104547264_dp, 0.0019587117597695_dp, &
+         & 0.0019080642343567_dp, 0.0018655974463187_dp, 0.0018303306130889_dp, 0.0018013638913814_dp, &
+         & 0.0017778708684091_dp, 0.0017590924913549_dp, 0.0017443325185269_dp, 0.0017329544362639_dp, &
+         & 0.0017243796636848_dp, 0.0017180867653295_dp, 0.0017136113146989_dp, 0.0017105460047233_dp, &
+         & 0.0017085405877708_dp, 0.0017073012496738_dp, 0.0017065890760151_dp, 0.0017062173507725_dp, &
+         & 0.0017060475277901_dp, 0.0017059838247917_dp, 0.0017059664963597_dp, 0.0017059639387256_dp, &
+         & 0.0017059637356809_dp, 0.0017059600144265_dp, 0.0017059348025654_dp, 0.0017058421237479_dp, &
+         & 0.0017055950964320_dp, 0.0017050545865942_dp, 0.0017040198417249_dp, 0.0017022216507669_dp, &
+         & 0.0016993186202967_dp, 0.0016948971988810_dp, 0.0016884760967457_dp, 0.0016795157064919_dp, &
+         & 0.0016674330020194_dp, 0.0016516221465466_dp, 0.0016314806604640_dp, 0.0016064404840535_dp, &
+         & 0.0015760026483278_dp, 0.0015397735975071_dp, 0.0014975005798590_dp, 0.0014491030538295_dp, &
+         & 0.0013946968639900_dp, 0.0013346081288717_dp, 0.0012693744076557_dp, 0.0011997317629096_dp, &
+         & 0.0011265877157740_dp, 0.0010509816221713_dp, 0.0009740354529768_dp, 0.0008968990956717_dp, &
+         & 0.0008206949131804_dp, 0.0007464662940606_dp, 0.0006751343219733_dp, 0.0006074656023856_dp, &
+         & 0.0005440529015743_dp, 0.0004853087892727_dp, 0.0004314711306890_dp, 0.0003826182227940_dp, &
+         & 0.0003386907448970_dp, 0.0002995175524774_dp, 0.0002648426328022_dp, 0.0002343510972267_dp, &
+         & 0.0002076927065175_dp, 0.0001845019700255_dp, 0.0001644143016861_dp, 0.0001470781091157_dp, &
+         & 1.3216306653873701e-04_dp, 1.1936513271848500e-04_dp, 1.0840903473052800e-04_dp, 9.9048913099863994e-05_dp, &
+         & 9.1067673800182506e-05_dp, 8.4275430161540003e-05_dp, 7.8507319273057901e-05_dp, 7.3620946132280096e-05_dp, &
+         & 6.9493692336663999e-05_dp, 6.6020086009643806e-05_dp, 6.3109361953195303e-05_dp, 6.0683271854600200e-05_dp, &
+         & 5.8674156797167102e-05_dp, 5.7023274017353702e-05_dp, 5.5679366234073802e-05_dp, 5.4597463162053800e-05_dp, &
+         & 5.3737903364492501e-05_dp, 5.3065559839637899e-05_dp, 5.2549247747890597e-05_dp, 5.2161288067509297e-05_dp, &
+         & 5.1877198401939502e-05_dp, 5.1675481032020798e-05_dp, 5.1537477489205203e-05_dp, 5.1447260219106297e-05_dp, &
+         & 5.1391533588684999e-05_dp, 5.1359520227833902e-05_dp, 5.1342813300436801e-05_dp, 5.1335181353806500e-05_dp, &
+         & 5.1332318605545899e-05_dp, 5.1331539893340098e-05_dp, 5.1331424955947100e-05_dp, 5.1331415747313299e-05_dp, &
+         & 5.1331245956021101e-05_dp, 5.1330095523383099e-05_dp, 5.1325866657236902e-05_dp, 5.1314595573614999e-05_dp, &
+         & 5.1289936791931703e-05_dp, 5.1242741861301497e-05_dp, 5.1160762026825102e-05_dp, 5.1028508991635101e-05_dp, &
+         & 5.0827312328749499e-05_dp, 5.0535614725788498e-05_dp, 5.0129544099775103e-05_dp, 4.9583793078511503e-05_dp, &
+         & 4.8872818233292003e-05_dp, 4.7972341924662501e-05_dp, 4.6861100365447301e-05_dp, 4.5522732854408298e-05_dp, &
+         & 4.3947658099341397e-05_dp, 4.2134742393784597e-05_dp, 4.0092545113168399e-05_dp, 3.7839941434469899e-05_dp, &
+         & 3.5405976149149899e-05_dp, 3.2828889395375400e-05_dp, 3.0154355386002900e-05_dp, 2.7433062385284801e-05_dp, &
+         & 2.4717818909891799e-05_dp, 2.2060404432977500e-05_dp, 1.9508422553826700e-05_dp, 1.7102483084841000e-05_dp, &
+         & 1.4874109503182401e-05_dp, 1.2844745548079600e-05_dp, 1.1026016494497500e-05_dp, 9.4209971166492306e-06_dp, &
+         & 8.0258587900061701e-06_dp, 6.8312258818537000e-06_dp, 5.8230030219874598e-06_dp, 4.9830819648377698e-06_dp, &
+         & 4.2906587438551503e-06_dp, 3.7244299946337399e-06_dp, 3.2649443610921501e-06_dp, 2.8958995699213098e-06_dp, &
+         & 2.6037247380372702e-06_dp, 2.3759234935028000e-06_dp, 2.1998131387590501e-06_dp, 2.0629969270658000e-06_dp, &
+         & 1.9548003891145501e-06_dp, 1.8673096988663899e-06_dp, 1.7957972886506500e-06_dp, 1.7380913988063199e-06_dp, &
+         & 1.6927152728385400e-06_dp, 1.6576154706626801e-06_dp, 1.6306750296735101e-06_dp, 1.6103606412798399e-06_dp, &
+         & 1.5952168297417300e-06_dp, 1.5833901017003901e-06_dp, 1.5731991780398900e-06_dp, 1.5638997226119500e-06_dp, &
+         & 1.5556324797216801e-06_dp, 1.5487708253658600e-06_dp, 1.5434236644296100e-06_dp, 1.5393908512351101e-06_dp, &
+         & 1.5363572032356400e-06_dp, 1.5340533678909200e-06_dp, 1.5323004944889400e-06_dp, 1.5309859264789300e-06_dp, &
+         & 1.5300288751518601e-06_dp, 1.5293602615429300e-06_dp, 1.5289163997067600e-06_dp, 1.5286393875158000e-06_dp, &
+         & 1.5284792382885800e-06_dp, 1.5283953658240501e-06_dp, 1.5283569823054700e-06_dp, 1.5283425796042100e-06_dp, &
+         & 1.5283386574083101e-06_dp, 1.5283380747632700e-06_dp, 1.5283380321307001e-06_dp, 1.5283371723739900e-06_dp, &
+         & 1.5283313743452700e-06_dp, 1.5283100438523400e-06_dp, 1.5282532430660501e-06_dp, 1.5281291609881001e-06_dp, &
+         & 1.5278923939376901e-06_dp, 1.5274832279033001e-06_dp, 1.5268284556668700e-06_dp, 1.5258434871157099e-06_dp, &
+         & 1.5244350635157399e-06_dp, 1.5225018330511401e-06_dp, 1.5199288228018300e-06_dp, 1.5165719986498499e-06_dp, &
+         & 1.5122347747365001e-06_dp, 1.5066506762195801e-06_dp, 1.4995009181006899e-06_dp, 1.4904963663298100e-06_dp, &
+         & 1.4795180476312499e-06_dp, 1.4667399526047099e-06_dp, 1.4526228255817801e-06_dp, 1.4377756372141399e-06_dp, &
+         & 1.4228766005430800e-06_dp, 1.4087434081488901e-06_dp, 1.3960953566538600e-06_dp, 1.3845338528994899e-06_dp, &
+         & 1.3716701730004401e-06_dp, 1.3541052936716401e-06_dp, 1.3296987191324701e-06_dp, 1.2985950732513600e-06_dp, &
+         & 1.2626507270852000e-06_dp, 1.2246058460618799e-06_dp, 1.1859701274374901e-06_dp, 1.1438573253030901e-06_dp, &
+         & 1.0914920736127000e-06_dp, 1.0218754908919400e-06_dp, 9.2973265708451404e-07_dp, 8.1457602618684198e-07_dp, &
+         &  6.8508528272559499e-07_dp, 5.5307501156676196e-07_dp, 4.2325080329419501e-07_dp, -2.1316282072802999e-14_dp, &
+         & -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, 4.4906728646765302e-07_dp, &
+         & 6.0029903892200299e-07_dp, 6.5639444812859395e-07_dp, 6.1149945196348199e-07_dp, 4.8442458933095601e-07_dp, &
+         & -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, &
+         & -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, &
+         & -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, &
+         & -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, &
+         & -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, &
+         & -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, &
+         & -2.1316282072802999e-14_dp &
+         &]
+      case (37)
+         out = [&
+         & 37.0000000000000000_dp, 36.9999999699347981_dp, 36.9999990402601000_dp, 36.9999927415675032_dp, &
+         & 36.9999695867582972_dp, 36.9999078633953999_dp, 36.9997727775267009_dp, 36.9995140497060007_dp, &
+         & 36.9990640503122989_dp, 36.9983365449227009_dp, 36.9972261019795994_dp, 36.9956081949599991_dp, &
+         & 36.9933400104612033_dp, 36.9902619528486980_dp, 36.9861998161840972_dp, 36.9809675757798999_dp, &
+         & 36.9743707355259019_dp, 36.9662101535120016_dp, 36.9562862575786966_dp, 36.9444035541852998_dp, &
+         & 36.9303753280158986_dp, 36.9140284255474995_dp, 36.8952080127638027_dp, 36.8737821948175011_dp, &
+         & 36.8496463834384969_dp, 36.8227272963559997_dp, 36.7929864724760023_dp, 36.7604231879872998_dp, &
+         & 36.7250766632083980_dp, 36.6870274591622021_dp, 36.6463979777185997_dp, 36.6033520003307018_dp, &
+         & 36.5580932278670971_dp, 36.5108628169229021_dp, 36.4619359445874025_dp, 36.4116174716068031_dp, &
+         & 36.3602368104834994_dp, 36.3081421375871969_dp, 36.2556941144014004_dp, 36.2032593008531975_dp, &
+         & 36.1512034523234007_dp, 36.0998848913374033_dp, 36.0496481358365983_dp, 36.0008179496646008_dp, &
+         & 35.9536939592270031_dp, 35.9085459550792976_dp, 35.8656099702687996_dp, 35.8250852001576021_dp, &
+         & 35.7871318023869023_dp, 35.7518695914207001_dp, 35.7193776201719970_dp, 35.6896946217174005_dp, &
+         & 35.6628202669604022_dp, 35.6387171791109978_dp, 35.6173136327563000_dp, 35.5985068538877982_dp, &
+         & 35.5821668273706990_dp, 35.5681405099534018_dp, 35.5562563400781002_dp, 35.5463289306464034_dp, &
+         & 35.5381638277337970_dp, 35.5315622173384966_dp, 35.5263254638420989_dp, 35.5222593682065977_dp, &
+         & 35.5191780411610978_dp, 35.5169072967921977_dp, 35.5152874849389022_dp, 35.5141756963589970_dp, &
+         & 35.5134472924106035_dp, 35.5129967304676981_dp, 35.5127376768700032_dp, 35.5126024202287027_dp, &
+         & 35.5125406186812995_dp, 35.5125174345170009_dp, 35.5125111278366035_dp, 35.5125101969829018_dp, &
+         & 35.5125100748744984_dp, 35.5125072298954976_dp, 35.5124879547267014_dp, 35.5124170969017001_dp, &
+         & 35.5122282139189025_dp, 35.5118148377951002_dp, 35.5110231334649029_dp, 35.5096462291012998_dp, &
+         & 35.5074204531036983_dp, 35.5040236631273984_dp, 35.4990757980179978_dp, 35.4921417248036022_dp, &
+         & 35.4827363910810973_dp, 35.4703322294236969_dp, 35.4543686961044031_dp, 35.4342637626922965_dp, &
+         & 35.4094271168476027_dp, 35.3792747684562983_dp, 35.3432446992165978_dp, 35.3008131379060970_dp, &
+         & 35.2515109902689971_dp, 35.1949399034498995_dp, 35.1307874039300998_dp, 35.0588405212978031_dp, &
+         & 34.9789973064550992_dp, 34.8912756816487999_dp, 34.7958191294019983_dp, 34.6928988425395985_dp, &
+         & 34.5829121160887993_dp, 34.4663769540451028_dp, 34.3439230724450013_dp, 34.2162796823340969_dp, &
+         & 34.0842606084286999_dp, 33.9487474214451979_dp, 33.8106713218227029_dp, 33.6709945074716970_dp, &
+         & 33.5306916959197991_dp, 33.3907323672246008_dp, 33.2520641678196966_dp, 33.1155977864081024_dp, &
+         & 32.9821934968259995_dp, 32.8526494693518032_dp, 32.7276918847984035_dp, 32.6079668431604972_dp, &
+         & 32.4940340353043027_dp, 32.3863621354997022_dp, 32.2853258681356010_dp, 32.1912046988366995_dp, &
+         & 32.1041830954017016_dp, 32.0243522962487006_dp, 31.9517135133480998_dp, 31.8861824835759009_dp, &
+         & 31.8275952678232983_dp, 31.7757151816895984_dp, 31.7302407255821990_dp, 31.6908143657718995_dp, &
+         & 31.6570320015868987_dp, 31.6284529377868999_dp, 31.6046101657580003_dp, 31.5850207433446997_dp, &
+         & 31.5691960519619990_dp, 31.5566517023917008_dp, 31.5469168586902988_dp, 31.5395427541644011_dp, &
+         & 31.5341101853958996_dp, 31.5302357904203987_dp, 31.5275769454759995_dp, 31.5258351507889003_dp, &
+         & 31.5247578186122013_dp, 31.5241384246400997_dp, 31.5238150350267006_dp, 31.5236672733258985_dp, &
+         & 31.5236118424361003_dp, 31.5235967638547017_dp, 31.5235945382863996_dp, 31.5235943418111013_dp, &
+         & 31.5235904919736996_dp, 31.5235644087494009_dp, 31.5234685239085017_dp, 31.5232129289818985_dp, &
+         & 31.5226535599260984_dp, 31.5215822789988991_dp, 31.5197192427867989_dp, 31.5167078938110983_dp, &
+         & 31.5121128536987989_dp, 31.5054209280044013_dp, 31.4960453554955002_dp, 31.4833333471267984_dp, &
+         & 31.4665768614987016_dp, 31.4450264547031999_dp, 31.4179079249048989_dp, 31.3844413493579992_dp, &
+         & 31.3438619894224004_dp, 31.2954424250103003_dp, 31.2385151826943996_dp, 31.1724950509259990_dp, &
+         & 31.0969002401887984_dp, 31.0113715520307984_dp, 30.9156887717430990_dp, 30.8097835934893993_dp, &
+         & 30.6937485178282010_dp, 30.5678413202251988_dp, 30.4324848643016992_dp, 30.2882622153857994_dp, &
+         & 30.1359071918773012_dp, 29.9762906711725989_dp, 29.8104031422239011_dp, 29.6393341645863018_dp, &
+         & 29.4642495435060994_dp, 29.2863671431194987_dp, 29.1069323109472009_dp, 28.9271938560942985_dp, &
+         & 28.7483814048487005_dp, 28.5716847660388993_dp, 28.3982357094870999_dp, 28.2290923379697993_dp, &
+         & 28.0652260542400995_dp, 27.9075110104037982_dp, 27.7567158771304996_dp, 27.6134977688645016_dp, &
+         & 27.4783981859520985_dp, 27.3518408651369000_dp, 27.2341314530202006_dp, 27.1254589275582987_dp, &
+         & 27.0258986910646009_dp, 26.9354172480658995_dp, 26.8538783667530012_dp, 26.7810506066951000_dp, &
+         & 26.7166160795144982_dp, 26.6601802936503987_dp, 26.6112829187436013_dp, 26.5694092889630014_dp, &
+         & 26.5340024474392990_dp, 26.5044755161118992_dp, 26.4802241575907011_dp, 26.4606388795397010_dp, &
+         & 26.4451169194794993_dp, 26.4330734408608983_dp, 26.4239517717928010_dp, 26.4172324276411992_dp, &
+         & 26.4124406790096984_dp, 26.4091524578390988_dp, 26.4069984361673988_dp, 26.4056661632764005_dp, &
+         & 26.4049002055729005_dp, 26.4045002970239011_dp, 26.4043175733130013_dp, 26.4042490269861005_dp, &
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+         & 0.0014273156043814_dp, 0.0013447895117125_dp, 0.0012583352710251_dp, 0.0011692301059654_dp, &
+         & 0.0010793238254791_dp, 0.0009890453404395_dp, 0.0009001784309604_dp, 0.0008140080161638_dp, &
+         & 0.0007315867899180_dp, 0.0006537945079685_dp, 0.0005814183653783_dp, 0.0005148001500075_dp, &
+         & 0.0004540974438356_dp, 0.0003993610942672_dp, 0.0003504017068181_dp, 0.0003068904044383_dp, &
+         & 0.0002687190868329_dp, 0.0002354658045931_dp, 0.0002063217873527_dp, 0.0001811905503644_dp, &
+         & 0.0001595077033727_dp, 0.0001403901323798_dp, 0.0001244331380335_dp, 0.0001107613857343_dp, &
+         & 9.8711575176935198e-05_dp, 8.7928737961817701e-05_dp, 7.8155472557739399e-05_dp, 6.9232922768947005e-05_dp, &
+         & 6.1072610719747900e-05_dp, 5.3597223384827002e-05_dp, 4.7378805106745899e-05_dp, 4.1682613165505700e-05_dp, &
+         & 3.6339616755753903e-05_dp, 3.1396234888347903e-05_dp, 2.6886916977275598e-05_dp, 2.2855698674106899e-05_dp, &
+         & 1.9278374892905999e-05_dp, 1.6105683755540701e-05_dp, 1.3276760526537100e-05_dp, 1.0771231607975600e-05_dp, &
+         & 8.5772376436921099e-06_dp, 6.6842331492011900e-06_dp, 5.0798285826658701e-06_dp, 3.7482517853959499e-06_dp, &
+         & 2.6699137052332802e-06_dp, 1.8216933312942299e-06_dp, 1.1776199997370900e-06_dp, 7.0972092203191995e-07_dp, &
+         & 3.8889643860784402e-07_dp, 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, &
+         & 7.1054273576010003e-15_dp &
+         &]
+      case (38)
+         out = [&
+         & 38.0000000000000000_dp, 37.9999999687886003_dp, 37.9999990036692026_dp, 37.9999924648331984_dp, &
+         & 37.9999684272254967_dp, 37.9999043505996994_dp, 37.9997641144366014_dp, 37.9994955222825013_dp, &
+         & 37.9990283659030013_dp, 37.9982731226721029_dp, 37.9971203403808033_dp, 37.9954407428461991_dp, &
+         & 37.9930860681106992_dp, 37.9898906294848970_dp, 37.9856735690235965_dp, 37.9802417540181025_dp, &
+         & 37.9733932503471010_dp, 37.9649212924872970_dp, 37.9546186587860035_dp, 37.9422823521299009_dp, &
+         & 37.9277184800122029_dp, 37.9107472236286966_dp, 37.8912077823880011_dp, 37.8689631775504978_dp, &
+         & 37.8439047963323034_dp, 37.8159565558506969_dp, 37.7850785653298971_dp, 37.7512701660989975_dp, &
+         & 37.7145722334455016_dp, 37.6750686338076974_dp, 37.6328867463066032_dp, 37.5881969799552991_dp, &
+         & 37.5412112469562018_dp, 37.4921803873401984_dp, 37.4413905789634995_dp, 37.3891588070110004_dp, &
+         & 37.3358275057458968_dp, 37.2817585193671022_dp, 37.2273265559581006_dp, 37.1729123268070012_dp, &
+         & 37.1188955718909028_dp, 37.0656481710606016_dp, 37.0135275302630973_dp, 36.9628704145092968_dp, &
+         & 36.9139873761172979_dp, 36.8671579000623026_dp, 36.8226263599539010_dp, 36.7805988498676015_dp, &
+         & 36.7412409302070984_dp, 36.7046763008007986_dp, 36.6709863919436998_dp, 36.6402108442135983_dp, &
+         & 36.6123488304734011_dp, 36.5873611582982008_dp, 36.5651730778238999_dp, 36.5456777084769016_dp, &
+         & 36.5287399880298977_dp, 36.5142010388991025_dp, 36.5018828396079016_dp, 36.4915930840844993_dp, &
+         & 36.4831301081742012_dp, 36.4762877617434995_dp, 36.4708601063179998_dp, 36.4666458225900030_dp, &
+         & 36.4634522195103017_dp, 36.4610987470975019_dp, 36.4594199284534994_dp, 36.4582676425274030_dp, &
+         & 36.4575127075332972_dp, 36.4570457350717021_dp, 36.4567772463232984_dp, 36.4566370634708008_dp, &
+         & 36.4565730110482988_dp, 36.4565489824951001_dp, 36.4565424461197978_dp, 36.4565414813636011_dp, &
+         & 36.4565413548078965_dp, 36.4565384062122035_dp, 36.4565184290250031_dp, 36.4564449905033001_dp, &
+         & 36.4562492283059001_dp, 36.4558207970656980_dp, 36.4550002599131986_dp, 36.4535732135502997_dp, &
+         & 36.4512663907876018_dp, 36.4477459335334970_dp, 36.4426179729439994_dp, 36.4354315927338988_dp, &
+         & 36.4256841875905977_dp, 36.4128291624188023_dp, 36.3962858510686971_dp, 36.3754514664698974_dp, &
+         & 36.3497148286758005_dp, 36.3184715537716016_dp, 36.2811403250970983_dp, 36.2371798088714030_dp, &
+         & 36.1861057197033986_dp, 36.1275074896121993_dp, 36.0610639512693965_dp, 35.9865574190690012_dp, &
+         & 35.9038855494957971_dp, 35.8130703952145026_dp, 35.7142641439646980_dp, 35.6077511579855965_dp, &
+         & 35.4939460995386966_dp, 35.3733881319423986_dp, 35.2467314043303972_dp, 35.1147322378976980_dp, &
+         & 34.9782336068304005_dp, 34.8381476278867979_dp, 34.6954368266987032_dp, 34.5510949351744969_dp, &
+         & 34.4061279023061033_dp, 34.2615356875350017_dp, 34.1182952726559989_dp, 33.9773451952545003_dp, &
+         & 33.8395717897076977_dp, 33.7057972301014033_dp, 33.5767694056142005_dp, 33.4531536200638016_dp, &
+         & 33.3355260871580015_dp, 33.2243691841968030_dp, 33.1200684229603013_dp, 33.0229110925388980_dp, &
+         & 32.9330865223130971_dp, 32.8506879033945012_dp, 32.7757155940046019_dp, 32.7080818194466971_dp, &
+         & 32.6476166614516998_dp, 32.5940752153935023_dp, 32.5471457775033031_dp, 32.5064589078190025_dp, &
+         & 32.4715971982464993_dp, 32.4421055589562002_dp, 32.4175018208663985_dp, 32.3972874379744979_dp, &
+         & 32.3809580619014028_dp, 32.3680137535502013_dp, 32.3579685946455982_dp, 32.3503594664415033_dp, &
+         & 32.3447537751057013_dp, 32.3407559238767988_dp, 32.3380123611439032_dp, 32.3362150706785982_dp, &
+         & 32.3351034142816971_dp, 32.3344642865043994_dp, 32.3341305938378980_dp, 32.3339781245350011_dp, &
+         & 32.3339209276525992_dp, 32.3339053686776978_dp, 32.3339030722043006_dp, 32.3339028694692985_dp, &
+         & 32.3338988969788019_dp, 32.3338719827606980_dp, 32.3337730430977999_dp, 32.3335093051285014_dp, &
+         & 32.3329321151798013_dp, 32.3318267049447030_dp, 32.3299043170608016_dp, 32.3267970386138970_dp, &
+         & 32.3220556298988981_dp, 32.3151505658375982_dp, 32.3054764278150017_dp, 32.2923596933624992_dp, &
+         & 32.2750698695088971_dp, 32.2528338031494997_dp, 32.2248528802619987_dp, 32.1903226989632003_dp, &
+         & 32.1484546750087006_dp, 32.0984989201350999_dp, 32.0397676328187018_dp, 31.9716581672881013_dp, &
+         & 31.8936749088965001_dp, 31.8054490888867001_dp, 31.7067557221458003_dp, 31.5975269462638018_dp, &
+         & 31.4778611731927995_dp, 31.3480276269741012_dp, 31.2084660223097003_dp, 31.0597813305837001_dp, &
+         & 30.9027337767322017_dp, 30.7382244091718988_dp, 30.5672767825579008_dp, 30.3910154812514008_dp, &
+         & 30.2106423731721989_dp, 30.0274115940565984_dp, 29.8426042940612000_dp, 29.6575041146396998_dp, &
+         & 29.4733742064379989_dp, 29.2914363756289013_dp, 29.1128527012356990_dp, 28.9387097468557002_dp, &
+         & 28.7700053308849988_dp, 28.6076377316753003_dp, 28.4523971784525003_dp, 28.3049594929472015_dp, &
+         & 28.1658817761265006_dp, 28.0356000607012987_dp, 27.9144288637325992_dp, 27.8025625732119011_dp, &
+         & 27.7000785913031997_dp, 27.6069421400043993_dp, 27.5230126165740998_dp, 27.4480513687515000_dp, &
+         & 27.3817307443102997_dp, 27.3236442553559016_dp, 27.2733176838923015_dp, 27.2302209405158990_dp, &
+         & 27.1937804720815990_dp, 27.1633919969681017_dp, 27.1384333290640001_dp, 27.1182770353480009_dp, &
+         & 27.1023026589822003_dp, 27.0899082323969012_dp, 27.0805208050992015_dp, 27.0736057207046983_dp, &
+         & 27.0686743982446991_dp, 27.0652904046520995_dp, 27.0630736481252008_dp, 27.0617025746031992_dp, &
+         & 27.0609143098360008_dp, 27.0605027548287005_dp, 27.0603147097181989_dp, 27.0602441671445995_dp, &
+         & 27.0602249778202015_dp, 27.0602221455147998_dp, 27.0602219183288994_dp, 27.0602177255961003_dp, &
+         & 27.0601893192053993_dp, 27.0600848941752012_dp, 27.0598065343615986_dp, 27.0591973455286983_dp, &
+         & 27.0580306561496009_dp, 27.0560017112952984_dp, 27.0527222298866015_dp, 27.0477181319614992_dp, &
+         & 27.0404306696872005_dp, 27.0302211124032006_dp, 27.0163790407960995_dp, 26.9981341975893017_dp, &
+         & 26.9746717221836008_dp, 26.9451504663846997_dp, 26.9087239516158014_dp, 26.8645633910249018_dp, &
+         & 26.8118820709335992_dp, 26.7499602750359990_dp, 26.6781698521483008_dp, 26.5959974839575999_dp, &
+         & 26.5030657107894001_dp, 26.3991508251237015_dp, 26.2841968443215990_dp, 26.1583249212523015_dp, &
+         & 26.0218377359574013_dp, 25.8752186224165008_dp, 25.7191254100651996_dp, 25.5543791881624998_dp, &
+         & 25.3819484209309003_dp, 25.2029290412659002_dp, 25.0185213191465010_dp, 24.8300044260107988_dp, &
+         & 24.6387096877432015_dp, 24.4459935291115009_dp, 24.2532110595521004_dp, 24.0616911392813009_dp, &
+         & 23.8727136082091000_dp, 23.6874891760749016_dp, 23.5071422811880986_dp, 23.3326970466726991_dp, &
+         & 23.1650663124968013_dp, 23.0050436079410012_dp, 22.8532978550366010_dp, 22.7103705557336006_dp, &
+         & 22.5766752071081989_dp, 22.4524987010041990_dp, 22.3380044883463995_dp, 22.2332373164861998_dp, &
+         & 22.1381293747503989_dp, 22.0525077051829008_dp, 21.9761027502921991_dp, 21.9085579166453996_dp, &
+         & 21.8494400324190998_dp, 21.7982505691006985_dp, 21.7544374833953995_dp, 21.7174075163163991_dp, &
+         & 21.6865387640536014_dp, 21.6611933114768007_dp, 21.6407296962967983_dp, 21.6245149524497009_dp, &
+         & 21.6119359677088987_dp, 21.6024098852513013_dp, 21.5953932839240004_dp, 21.5903898886855998_dp, &
+         & 21.5869565917790993_dp, 21.5847076063396983_dp, 21.5833166261358009_dp, 21.5825169258697009_dp, &
+         & 21.5820994030733999_dp, 21.5819086318179991_dp, 21.5818370666683990_dp, 21.5818175991874988_dp, &
+         & 21.5818147258272006_dp, 21.5818145042060010_dp, 21.5818105246003995_dp, 21.5817835621816982_dp, &
+         & 21.5816844453919003_dp, 21.5814202357565996_dp, 21.5808420160609984_dp, 21.5797346432511006_dp, &
+         & 21.5778088722062016_dp, 21.5746962056173999_dp, 21.5699467662688988_dp, 21.5630304200313994_dp, &
+         & 21.5533412993213993_dp, 21.5402057860686007_dp, 21.5228939092618994_dp, 21.5006339948659004_dp, &
+         & 21.4726302769741011_dp, 21.4380830422928987_dp, 21.3962107417029017_dp, 21.3462733713575012_dp, &
+         & 21.2875963121770013_dp, 21.2195937322981010_dp, 21.1417906134342992_dp, 21.0538424686488987_dp, &
+         & 20.9555518816136015_dp, 20.8468811167584001_dp, 20.7279602204927009_dp, 20.5990902443451986_dp, &
+         & 20.4607414547197983_dp, 20.3135466311014987_dp, 20.1582897749200001_dp, 19.9958907378346993_dp, &
+         & 19.8273864197369001_dp, 19.6539092793846990_dp, 19.4766639474813985_dp, 19.2969027412759999_dp, &
+         & 19.1159008609950014_dp, 18.9349320092184996_dp, 18.7552451180281992_dp, 18.5780427944746016_dp, &
+         & 18.4044619997197003_dp, 18.2355573598485989_dp, 18.0722873703311997_dp, 17.9155036110118999_dp, &
+         & 17.7659429483281990_dp, 17.6242225810816997_dp, 17.4908376971064996_dp, 17.3661614560345008_dp, &
+         & 17.2504469965669003_dp, 17.1438311783003989_dp, 17.0463397983726992_dp, 16.9578940619166012_dp, &
+         & 16.8783181241266007_dp, 16.8073475547706011_dp, 16.7446385998708998_dp, 16.6897781287381015_dp, &
+         & 16.6422941577075996_dp, 16.6016668358374986_dp, 16.5673397641023996_dp, 16.5387315002833013_dp, &
+         & 16.5152470791271995_dp, 16.4962893540313011_dp, 16.4812699452456002_dp, 16.4696195631571989_dp, &
+         & 16.4607974662388017_dp, 16.4542998139286993_dp, 16.4496666866700991_dp, 16.4464875693818016_dp, &
+         & 16.4444051306134007_dp, 16.4431171764774007_dp, 16.4423767141153014_dp, 16.4419901212069988_dp, &
+         & 16.4418134826125986_dp, 16.4417472191993994_dp, 16.4417291939275998_dp, 16.4417265334346006_dp, &
+         & 16.4417263319901004_dp, 16.4417227634206995_dp, 16.4416985858350984_dp, 16.4416097064246003_dp, &
+         & 16.4413727861778014_dp, 16.4408542901325987_dp, 16.4398613009738988_dp, 16.4381344619510017_dp, &
+         & 16.4353433704688001_dp, 16.4310846919698008_dp, 16.4248832037966004_dp, 16.4161959090090015_dp, &
+         & 16.4044192790090015_dp, 16.3888995900882009_dp, 16.3689462124977005_dp, 16.3438475927204010_dp, &
+         & 16.3128895437253014_dp, 16.2753753297589014_dp, 16.2306469096116999_dp, 16.1781065950353984_dp, &
+         & 16.1172382999542982_dp, 16.0476275120959997_dp, 15.9689791209790997_dp, 15.8811322910777992_dp, &
+         & 15.7840716780875994_dp, 15.6779344454973995_dp, 15.5630127379276999_dp, 15.4397514911788001_dp, &
+         & 15.3087416871622004_dp, 15.1707093745172994_dp, 15.0265009550446997_dp, 14.8770653702230007_dp, &
+         & 14.7234339067884008_dp, 14.5666983788620996_dp, 14.4079884447904991_dp, 14.2484487897372993_dp, &
+         & 14.0892168584255995_dp, 13.9314017608322995_dp, 13.7760648980711995_dp, 13.6242027652982003_dp, &
+         & 13.4767322830255001_dp, 13.3344788901884002_dp, 13.1981675074936007_dp, 13.0684163565399007_dp, &
+         & 12.9457335085404992_dp, 12.8305159448699992_dp, 12.7230508461846004_dp, 12.6235187901241002_dp, &
+         & 12.5319985285605995_dp, 12.4484730299871007_dp, 12.3728365048455000_dp, 12.3049021744099996_dp, &
+         & 12.2444105903289007_dp, 12.1910383560521005_dp, 12.1444071383830003_dp, 12.1040928841464996_dp, &
+         & 12.0696351718637001_dp, 12.0405466312891001_dp, 12.0163223558576995_dp, 11.9964492167521009_dp, &
+         & 11.9804149654026002_dp, 11.9677169872503999_dp, 11.9578705471683993_dp, 11.9504163495215998_dp, &
+         & 11.9449272265062998_dp, 11.9410137694338996_dp, 11.9383287303936001_dp, 11.9365700465397993_dp, &
+         & 11.9354823752830992_dp, 11.9348570741244995_dp, 11.9345306110924998_dp, 11.9343814475569001_dp, &
+         & 11.9343254911845005_dp, 11.9343102696963008_dp, 11.9343080230365999_dp, 11.9343078543790995_dp, &
+         & 11.9343048858168004_dp, 11.9342847733742996_dp, 11.9342108379654004_dp, 11.9340137537518007_dp, &
+         & 11.9335824420086993_dp, 11.9327564370007000_dp, 11.9313200342228996_dp, 11.9289984976574992_dp, &
+         & 11.9254565633696004_dp, 11.9202994303061001_dp, 11.9130763735409992_dp, 11.9032870483188997_dp, &
+         & 11.8903904734586003_dp, 11.8738165893550001_dp, 11.8529801799114001_dp, 11.8272968321386003_dp, &
+         & 11.7962004869451000_dp, 11.7591620170020992_dp, 11.7157081614410998_dp, 11.6654400625694006_dp, &
+         & 11.6080505969478995_dp, 11.5433396812953006_dp, 11.4712267698245007_dp, 11.3917598475891992_dp, &
+         & 11.3051203638642992_dp, 11.2116237354284998_dp, 11.1117152719105992_dp, 11.0059616196950003_dp, &
+         & 10.8950380692545004_dp, 10.7797123031214994_dp, 10.6608253578553001_dp, 10.5392707153906997_dp, &
+         & 10.4159725137898000_dp, 10.2918638680830998_dp, 10.1678662199903993_dp, 10.0448705003000995_dp, &
+         & 9.9237207059121602_dp, 9.8052002858173104_dp, 9.6900215188578809_dp, 9.5788178714171703_dp, &
+         & 9.4721391612609800_dp, 9.3704492345284507_dp, 9.2741257897771199_dp, 9.1834619536166109_dp, &
+         & 9.0986692200454993_dp, 9.0198814008387291_dp, 8.9471592871739691_dp, 8.8804957837833296_dp, &
+         & 8.8198213385353004_dp, 8.7650095467840696_dp, 8.7158828573871396_dp, 8.6722183440493392_dp, &
+         & 8.6337535310060698_dp, 8.6001922763473999_dp, 8.5712107204423607_dp, 8.5464633022490393_dp, &
+         & 8.5255888343204003_dp, 8.5082166097444993_dp, 8.4939724929542706_dp, 8.4824849233162691_dp, &
+         & 8.4733907377871400_dp, 8.4663406988776799_dp, 8.4610045987818001_dp, 8.4570758016751508_dp, &
+         & 8.4542750853297193_dp, 8.4523536512198891_dp, 8.4510951894140298_dp, 8.4503169101900806_dp, &
+         & 8.4498694871829496_dp, 8.4496358950278605_dp, 8.4495291655225397_dp, 8.4494891277103292_dp, &
+         & 8.4494782364649996_dp, 8.4494766289403902_dp, 8.4494765086299797_dp, 8.4494743959189407_dp, &
+         & 8.4494600819972003_dp, 8.4494074626033697_dp, 8.4492671993610493_dp, 8.4489602404531006_dp, &
+         & 8.4483723918568092_dp, 8.4473501633793902_dp, 8.4456980916289996_dp, 8.4431777160009602_dp, &
+         & 8.4395083521913694_dp, 8.4343697686048706_dp, 8.4274068221174900_dp, 8.4182360491705097_dp, &
+         & 8.4064541352267295_dp, 8.3916481008331107_dp, 8.3734069485022307_dp, 8.3513344162213503_dp, &
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+         & 0.3744047441715570_dp, 0.3676151104436090_dp, 0.3606377000551930_dp, 0.3535228510374110_dp, &
+         & 0.3463226037716750_dp, 0.3390896177725510_dp, 0.3318761144741630_dp, 0.3247328786765280_dp, &
+         & 0.3177083470441390_dp, 0.3108478067333420_dp, 0.3041927211256090_dp, 0.2977801931022770_dp, &
+         & 0.2916425697156700_dp, 0.2858071859176550_dp, 0.2802962395994580_dp, 0.2751267858960350_dp, &
+         & 0.2703108357145400_dp, 0.2658555418279460_dp, 0.2617634555653580_dp, 0.2580328379537780_dp, &
+         & 0.2546580108606800_dp, 0.2516297359425290_dp, 0.2489356117017250_dp, 0.2465604813953770_dp, &
+         & 0.2444868466755070_dp, 0.2426952834922890_dp, 0.2411648578502220_dp, 0.2398735394406160_dp, &
+         & 0.2387986110148570_dp, 0.2379170707077020_dp, 0.2372060235070990_dp, 0.2366430568711450_dp, &
+         & 0.2362065942992610_dp, 0.2358762196588060_dp, 0.2356329644122250_dp, 0.2354595497115140_dp, &
+         & 0.2353405757045910_dp, 0.2352626513573880_dp, 0.2352144596033770_dp, 0.2351867546066300_dp, &
+         & 0.2351722902397950_dp, 0.2351656813826960_dp, 0.2351632021773540_dp, 0.2351625277738660_dp, &
+         & 0.2351624282333450_dp, 0.2351624203999520_dp, 0.2351622777163700_dp, 0.2351613110145860_dp, &
+         & 0.2351577573242810_dp, 0.2351482845495880_dp, 0.2351275539130950_dp, 0.2350878534109170_dp, &
+         & 0.2350188174945200_dp, 0.2349072467455290_dp, 0.2347370396051150_dp, 0.2344892461539490_dp, &
+         & 0.2341422513759430_dp, 0.2336720921401610_dp, 0.2330529081854210_dp, 0.2322575226372830_dp, &
+         & 0.2312581420647750_dp, 0.2300271599435670_dp, 0.2285380409107770_dp, 0.2267662567719600_dp, &
+         & 0.2246902393539260_dp, 0.2222923105504510_dp, 0.2195595468545260_dp, 0.2164845348298670_dp, &
+         & 0.2130659757436110_dp, 0.2093091021841640_dp, 0.2052258769168770_dp, 0.2008349542299040_dp, &
+         & 0.1961613960761570_dp, 0.1912361486633860_dp, 0.1860952988253220_dp, 0.1807791424433280_dp, &
+         & 0.1753311082915300_dp, 0.1697965889683890_dp, 0.1642217352978930_dp, 0.1586522712831310_dp, &
+         & 0.1531323832968850_dp, 0.1477037300221440_dp, 0.1424046094413280_dp, 0.1372693069805350_dp, &
+         & 0.1323276359912460_dp, 0.1276046693245550_dp, 0.1231206498513730_dp, 0.1188910591401250_dp, &
+         & 0.1149268175445780_dp, 0.1112345858122550_dp, 0.1078171378537790_dp, 0.1046737761183040_dp, &
+         & 0.1018007645127240_dp, 0.0991917583337880_dp, 0.0968382156574279_dp, 0.0947297795832114_dp, &
+         & 0.0928546253279237_dp, 0.0911997701586387_dp, 0.0897513473842224_dp, 0.0884948479858210_dp, &
+         & 0.0874153349427900_dp, 0.0864976359516092_dp, 0.0857265201439787_dp, 0.0850868637130588_dp, &
+         & 0.0845638081910920_dp, 0.0841429136305010_dp, 0.0838103072735947_dp, 0.0835528266101875_dp, &
+         & 0.0833581541725152_dp, 0.0832149401462985_dp, 0.0831129080053543_dp, 0.0830429379861286_dp, &
+         & 0.0829971233472975_dp, 0.0829687949962477_dp, 0.0829525111502036_dp, 0.0829440101366856_dp, &
+         & 0.0829401260953446_dp, 0.0829386690803204_dp, 0.0829382727390637_dp, 0.0829382142400092_dp, &
+         & 0.0829382095956461_dp, 0.0829381244816929_dp, 0.0829375478234340_dp, 0.0829354279861789_dp, &
+         & 0.0829297774280349_dp, 0.0829174120792047_dp, 0.0828937338672446_dp, 0.0828525663653892_dp, &
+         & 0.0827860531908158_dp, 0.0826846283055573_dp, 0.0825370666049352_dp, 0.0823306218986204_dp, &
+         & 0.0820512573680077_dp, 0.0816839706190322_dp, 0.0812132114118640_dp, 0.0806233850339098_dp, &
+         & 0.0798994282443104_dp, 0.0790274381027132_dp, 0.0779953273364953_dp, 0.0767934739014962_dp, &
+         & 0.0754153278512888_dp, 0.0738579363599356_dp, 0.0721223484361317_dp, 0.0702138649788964_dp, &
+         & 0.0681421074632667_dp, 0.0659208893954073_dp, 0.0635678879892367_dp, 0.0611041281341684_dp, &
+         & 0.0585533051840343_dp, 0.0559409857884461_dp, 0.0532937353921525_dp, 0.0506382259844216_dp, &
+         & 0.0480003776379121_dp, 0.0454045824856593_dp, 0.0428730508156292_dp, 0.0404253070989995_dp, &
+         & 0.0380778503891293_dp, 0.0358439800882948_dp, 0.0337337760090648_dp, 0.0317542121810988_dp, &
+         & 0.0299093777218715_dp, 0.0282007753811584_dp, 0.0266276685762463_dp, 0.0251874500911740_dp, &
+         & 0.0238760094350425_dp, 0.0226880806267502_dp, 0.0216175574144089_dp, 0.0206577680836517_dp, &
+         & 0.0198017064876836_dp, 0.0190422193890072_dp, 0.0183721526190723_dp, 0.0177844601592696_dp, &
+         & 0.0172722812738613_dp, 0.0168289914125666_dp, 0.0164482327690081_dp, 0.0161239301469109_dp, &
+         & 0.0158502972226771_dp, 0.0156218375250177_dp, 0.0154333435974578_dp, 0.0152798969391839_dp, &
+         & 0.0151568704602596_dp, 0.0150599343480167_dp, 0.0149850654378270_dp, 0.0149285594455293_dp, &
+         & 0.0148870447934542_dp, 0.0148574962905244_dp, 0.0148372466435163_dp, 0.0148239937001051_dp, &
+         & 0.0148158014554056_dp, 0.0148110931730940_dp, 0.0148086354444956_dp, 0.0148075125836797_dp, &
+         & 0.0148070913753031_dp, 0.0148069767978711_dp, 0.0148069598865419_dp, 0.0148069585316222_dp, &
+         & 0.0148069335464243_dp, 0.0148067642689043_dp, 0.0148061419993653_dp, 0.0148044833536574_dp, &
+         & 0.0148008539374302_dp, 0.0147939050459414_dp, 0.0147818267305908_dp, 0.0147623207026086_dp, &
+         & 0.0147325966464606_dp, 0.0146893954839342_dp, 0.0146290428293483_dp, 0.0145475351625564_dp, &
+         & 0.0144406599863913_dp, 0.0143041493439569_dp, 0.0141338635413035_dp, 0.0139259988564930_dp, &
+         & 0.0136773096553640_dp, 0.0133853320498787_dp, 0.0130485935133393_dp, 0.0126667912481082_dp, &
+         & 0.0122409220899868_dp, 0.0117733486859990_dp, 0.0112677906974028_dp, 0.0107292356184985_dp, &
+         & 0.0101637708828974_dp, 0.0095783464012555_dp, 0.0089804835709231_dp, 0.0083779522019469_dp, &
+         & 0.0077784399853797_dp, 0.0071892396142772_dp, 0.0066169762820891_dp, 0.0060673932359947_dp, &
+         & 0.0055452060624148_dp, 0.0050540286452332_dp, 0.0045963667223461_dp, 0.0041736698168862_dp, &
+         & 0.0037864293507965_dp, 0.0034343094392071_dp, 0.0031162964795897_dp, 0.0028308540085433_dp, &
+         & 0.0025760708928146_dp, 0.0023497941583059_dp, 0.0021497420645673_dp, 0.0019735968392212_dp, &
+         & 0.0018190783798104_dp, 0.0016840001670388_dp, 0.0015663079830617_dp, 0.0014641023061941_dp, &
+         & 0.0013756467482580_dp, 0.0012993665283503_dp, 0.0012338414065312_dp, 0.0011777963690562_dp, &
+         & 0.0011300914888892_dp, 0.0010897109763235_dp, 0.0010557511035216_dp, 0.0010274071894116_dp, &
+         & 0.0010039604789469_dp, 0.0009847660080098_dp, 0.0009692423151293_dp, 0.0009568633746895_dp, &
+         & 0.0009471526723317_dp, 0.0009396790797140_dp, 0.0009340541101750_dp, 0.0009299301677501_dp, &
+         & 0.0009269994546202_dp, 0.0009249932381294_dp, 0.0009236811932567_dp, 0.0009228705483650_dp, &
+         & 0.0009224047861167_dp, 0.0009221616969626_dp, 0.0009220506459471_dp, 0.0009220089898676_dp, &
+         & 0.0009219976586792_dp, 0.0009219959862321_dp, 0.0009219958509163_dp, 0.0009219933389062_dp, &
+         & 0.0009219763198658_dp, 0.0009219137584395_dp, 0.0009217470107359_dp, 0.0009213821793139_dp, &
+         & 0.0009206838353037_dp, 0.0009194705093449_dp, 0.0009175124020473_dp, 0.0009145318110484_dp, &
+         & 0.0009102067929305_dp, 0.0009041785471382_dp, 0.0008960628950447_dp, 0.0008854660027779_dp, &
+         & 0.0008720041466574_dp, 0.0008553268534826_dp, 0.0008351422066895_dp, 0.0008112425777824_dp, &
+         & 0.0007835286366458_dp, 0.0007520293306484_dp, 0.0007169156564828_dp, 0.0006785064216572_dp, &
+         & 0.0006372646249915_dp, 0.0005937834140042_dp, 0.0005487608825021_dp, 0.0005029637549683_dp, &
+         & 0.0004571819652597_dp, 0.0004121794056928_dp, 0.0003686493412616_dp, 0.0003271833254388_dp, &
+         & 0.0002882575467282_dp, 0.0002522316354074_dp, 0.0002193483251105_dp, 0.0001897255502641_dp, &
+         & 0.0001633464491775_dp, 0.0001400663324986_dp, 0.0001196522043969_dp, 0.0001018446910095_dp, &
+         & 8.6403444228721997e-05_dp, 7.3097461374516101e-05_dp, 6.1644241966973796e-05_dp, 5.1657457156295502e-05_dp, &
+         & 4.2675867852892700e-05_dp, 3.4287334422344897e-05_dp, 2.6276850810802399e-05_dp, 1.8699611842976100e-05_dp, &
+         & 1.1829700092391701e-05_dp, 5.9999248875897104e-06_dp, 1.3199128900964800e-06_dp, 2.1328605086523600e-06_dp, &
+         & 1.8016875600324100e-06_dp, 4.3738415911320798e-07_dp, 1.1732904567907101e-06_dp, 1.4030347870175300e-06_dp, &
+         & 1.1418676919561200e-06_dp, 6.6696735245841399e-07_dp, 3.5527136788005003e-14_dp, 3.5527136788005003e-14_dp, &
+         & 3.5527136788005003e-14_dp, 4.9824380710106198e-07_dp, 6.8246176709863004e-07_dp, 7.6343660992961304e-07_dp, &
+         & 7.5561352019804005e-07_dp, 6.8455825896762700e-07_dp, 5.7750991544480701e-07_dp, 4.5769706247256202e-07_dp, &
+         & 4.2632564145605999e-14_dp, 4.2632564145605999e-14_dp, 3.5527136788005003e-14_dp, 3.5527136788005003e-14_dp, &
+         & 4.2632564145605999e-14_dp, 3.5527136788005003e-14_dp, 3.5527136788005003e-14_dp, 3.5527136788005003e-14_dp, &
+         & 3.5527136788005003e-14_dp &
+         &]
+      case (39)
+         out = [&
+         & 39.0000000000000000_dp, 38.9999999676421965_dp, 38.9999989670735019_dp, 38.9999921880624996_dp, &
+         & 38.9999672675404980_dp, 38.9999008373422029_dp, 38.9997554502065000_dp, 38.9994769924150972_dp, &
+         & 38.9989926767664983_dp, 38.9982096919623018_dp, 38.9970145645304029_dp, 38.9952732678340013_dp, &
+         & 38.9928320903314969_dp, 38.9895192529369012_dp, 38.9851472439507987_dp, 38.9795158203800014_dp, &
+         & 38.9724156072029970_dp, 38.9636322116777976_dp, 38.9529507582967014_dp, 38.9401607413103008_dp, &
+         & 38.9250610854409018_dp, 38.9074653008701006_dp, 38.8872066151130014_dp, 38.8641429614159009_dp, &
+         & 38.8381617005325026_dp, 38.8091839503033995_dp, 38.7771683960435993_dp, 38.7421144554970027_dp, &
+         & 38.7040646765276009_dp, 38.6631062553727034_dp, 38.6193715794910020_dp, 38.5730377225663972_dp, &
+         & 38.5243248499577007_dp, 38.4734935297640988_dp, 38.4208409856727968_dp, 38.3666963701313009_dp, &
+         & 38.3114151769979969_dp, 38.2553729485577989_dp, 38.1989584599727010_dp, 38.1425665829631981_dp, &
+         & 38.0865910388440980_dp, 38.0314172490425975_dp, 37.9774154798675028_dp, 37.9249344592349971_dp, &
+         & 37.8742956183274018_dp, 37.8257880829355031_dp, 37.7796645095299013_dp, 37.7361378316114013_dp, &
+         & 37.6953789538867028_dp, 37.6575154061024975_dp, 37.6226309453668009_dp, 37.5907660755393991_dp, &
+         & 37.5619194346307026_dp, 37.5360499858078995_dp, 37.5130799342534971_dp, 37.4928982804645017_dp, &
+         & 37.4753649104509989_dp, 37.4603151146230999_dp, 37.4475644200199014_dp, 37.4369136151248014_dp, &
+         & 37.4281538430916996_dp, 37.4210716381073993_dp, 37.4154537811422969_dp, 37.4110918557751972_dp, &
+         & 37.4077863923007001_dp, 37.4053504989884971_dp, 37.4036128930895018_dp, 37.4024202607104996_dp, &
+         & 37.4016388936234989_dp, 37.4011555718883031_dp, 37.4008776832153984_dp, 37.4007325925473992_dp, &
+         & 37.4006662976562012_dp, 37.4006414278679031_dp, 37.4006346626554986_dp, 37.4006336641232977_dp, &
+         & 37.4006335331368973_dp, 37.4006304813116017_dp, 37.4006098047280986_dp, 37.4005337951489025_dp, &
+         & 37.4003311794353976_dp, 37.3998877493380988_dp, 37.3990384871779966_dp, 37.3975614865303001_dp, &
+         & 37.3951739209996035_dp, 37.3915302617239007_dp, 37.3862228862141990_dp, 37.3787851584494035_dp, &
+         & 37.3686969938450986_dp, 37.3553928539935001_dp, 37.3382720462169999_dp, 37.3167111332134027_dp, &
+         & 37.2900781893932987_dp, 37.2577485735050971_dp, 37.2191218220796003_dp, 37.1736392052835996_dp, &
+         & 37.1208014267914024_dp, 37.0601858945551967_dp, 36.9914629445488998_dp, 36.9144103721153982_dp, &
+         & 36.8289256252478978_dp, 36.7350350515987998_dp, 36.6328996750303020_dp, 36.5228171120734970_dp, &
+         & 36.4052194200407016_dp, 36.2806668841242015_dp, 36.1498379798012976_dp, 36.0135159633936013_dp, &
+         & 35.8725727216478987_dp, 35.7279506297810983_dp, 35.5806432151671004_dp, 35.4316754009908976_dp, &
+         & 35.2820840220658027_dp, 35.1328991828352031_dp, 34.9851268878839008_dp, 34.8397332390807009_dp, &
+         & 34.6976303764958018_dp, 34.5596642510631966_dp, 34.4266042569740023_dp, 34.2991347168757983_dp, &
+         & 34.1778481958506006_dp, 34.0632406129326029_dp, 33.9557081148994016_dp, 33.8555456717482031_dp, &
+         & 33.7629473445407982_dp, 33.6780081639416977_dp, 33.6007275426731979_dp, 33.5310141285176968_dp, &
+         & 33.4686919874650997_dp, 33.4135079897337022_dp, 33.3651402548577991_dp, 33.3232074957309976_dp, &
+         & 33.2872790852838989_dp, 33.2568856534305013_dp, 33.2315300064313988_dp, 33.2106981466959965_dp, &
+         & 33.1938701594216994_dp, 33.1805307247534031_dp, 33.1701790118164013_dp, 33.1623377154414030_dp, &
+         & 33.1565610087771034_dp, 33.1524412059839975_dp, 33.1496139589646006_dp, 33.1477618501571030_dp, &
+         & 33.1466162887029014_dp, 33.1459576681653019_dp, 33.1456137983126027_dp, 33.1454566789215974_dp, &
+         & 33.1453977376229005_dp, 33.1453817041237002_dp, 33.1453793376115016_dp, 33.1453791286934987_dp, &
+         & 33.1453750350481968_dp, 33.1453472999892966_dp, 33.1452453428282965_dp, 33.1449735613135985_dp, &
+         & 33.1443787682447990_dp, 33.1432396458615983_dp, 33.1412586320594968_dp, 33.1380565979834003_dp, &
+         & 33.1331706136478985_dp, 33.1260550263202020_dp, 33.1160859944424999_dp, 33.1025695268306990_dp, &
+         & 33.0847529721377001_dp, 33.0618397875221035_dp, 33.0330072899853988_dp, 32.9974269627767001_dp, &
+         & 32.9542867585494008_dp, 32.9028147185713991_dp, 32.8423031226547977_dp, 32.7721323075415967_dp, &
+         & 32.6917932513388010_dp, 32.6009080250005994_dp, 32.4992472618904031_dp, 32.3867438917826007_dp, &
+         & 32.2635025208048987_dp, 32.1298040054497989_dp, 31.9861049579605989_dp, 31.8330321246800985_dp, &
+         & 31.6713717933676016_dp, 31.5020546061449984_dp, 31.3261363750529007_dp, 31.1447757032631998_dp, &
+         & 30.9592093831710002_dp, 30.7707266426091017_dp, 30.5806433150336012_dp, 30.3902769073679018_dp, &
+         & 30.2009233443556013_dp, 30.0138359197393996_dp, 29.8302067343619015_dp, 29.6511506962755007_dp, &
+         & 29.4776920249260996_dp, 29.3107531418590987_dp, 29.1511458258305005_dp, 28.9995645339682007_dp, &
+         & 28.8565818186890013_dp, 28.7226457873928993_dp, 28.5980795534642986_dp, 28.4830826149940997_dp, &
+         & 28.3777340775076006_dp, 28.2819976145752001_dp, 28.1957280395124990_dp, 28.1186793441715004_dp, &
+         & 28.0505140469097007_dp, 27.9908136798404996_dp, 27.9390902337284004_dp, 27.8947983659668992_dp, &
+         & 27.8573481622358017_dp, 27.8261182258112001_dp, 27.8004688510774010_dp, 27.7797550212657001_dp, &
+         & 27.7633389570066988_dp, 27.7506019343313000_dp, 27.7409550906008988_dp, 27.7338489464528983_dp, &
+         & 27.7287813925625990_dp, 27.7253039224099993_dp, 27.7230259359636015_dp, 27.7216169930095013_dp, &
+         & 27.7208069566828996_dp, 27.7203840348446988_dp, 27.7201907961090015_dp, 27.7201183052230000_dp, &
+         & 27.7200985859100015_dp, 27.7200956753795005_dp, 27.7200954419189003_dp, 27.7200911333872995_dp, &
+         & 27.7200619424430990_dp, 27.7199546333117013_dp, 27.7196685855485008_dp, 27.7190425718520004_dp, &
+         & 27.7178436609470999_dp, 27.7157586829054985_dp, 27.7123886378269013_dp, 27.7072463635919988_dp, &
+         & 27.6997577036311000_dp, 27.6892663300434982_dp, 27.6750422796696007_dp, 27.6562941500386010_dp, &
+         & 27.6321847787725012_dp, 27.6018500959334006_dp, 27.5644206979610011_dp, 27.5190455505629998_dp, &
+         & 27.4649170946570003_dp, 27.4012969143167986_dp, 27.3275410393856006_dp, 27.2431239080776990_dp, &
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+         & 0.0009777667064341_dp, 0.0008846968813572_dp, 0.0007984535687342_dp, 0.0007182822688847_dp, &
+         & 0.0006433769232927_dp, 0.0005738593625537_dp, 0.0005090781484967_dp, 0.0004487942559876_dp, &
+         & 0.0003928461232832_dp, 0.0003411283518560_dp, 0.0002935710847680_dp, 0.0002501212896391_dp, &
+         & 0.0002107267920834_dp, 0.0001753235222850_dp, 0.0001438260930229_dp, 0.0001161686834692_dp, &
+         & 9.2110459895877698e-05_dp, 7.1522795479950205e-05_dp, 5.4199631101425900e-05_dp, 3.9906157176972101e-05_dp, &
+         & 2.8381970743396299e-05_dp, 1.9345232985301701e-05_dp, 1.2497508699027499e-05_dp, 7.5291024117518603e-06_dp, &
+         & 4.1248125057791202e-06_dp, 1.9701280393746898e-06_dp, 7.5802306298555798e-07_dp, 0.0000000000000000e+00_dp, &
+         & -7.1054273576010003e-15_dp &
+         &]
+      case (40)
+         out = [&
+         & 40.0000000000000000_dp, 39.9999999663870014_dp, 39.9999989270080007_dp, 39.9999918850504983_dp, &
+         & 39.9999659979026987_dp, 39.9998969909846025_dp, 39.9997459645042994_dp, 39.9994567057120989_dp, &
+         & 39.9989536039613967_dp, 39.9981402475765009_dp, 39.9968987607865998_dp, 39.9950899165663998_dp, &
+         & 39.9925540379751965_dp, 39.9891126774189019_dp, 39.9845710410843012_dp, 39.9787211054391989_dp, &
+         & 39.9713453548364015_dp, 39.9622210543369007_dp, 39.9511249600277978_dp, 39.9378383601758031_dp, &
+         & 39.9221523340604989_dp, 39.9038731105978002_dp, 39.8828274051501026_dp, 39.8588676096188976_dp, &
+         & 39.8318767077171998_dp, 39.8017727844140978_dp, 39.7685129966651019_dp, 39.7320968729588984_dp, &
+         & 39.6925688135450017_dp, 39.6500196731632997_dp, 39.6045873250931990_dp, 39.5564561301726982_dp, &
+         & 39.5058552669678988_dp, 39.4530559183276992_dp, 39.3983673529410012_dp, 39.3421319852501981_dp, &
+         & 39.2847195398152991_dp, 39.2265204836283985_dp, 39.1679389191577982_dp, 39.1093851500510965_dp, &
+         & 39.0512681395379033_dp, 38.9939880787867992_dp, 38.9379292698862969_dp, 38.8834535075520975_dp, &
+         & 38.8308941173195024_dp, 38.7805507781633025_dp, 38.7326852263283001_dp, 38.6875179064172983_dp, &
+         & 38.6452256067658979_dp, 38.6059400896507015_dp, 38.5697477033005001_dp, 38.5366899420303000_dp, &
+         & 38.5067649028901968_dp, 38.4799295716656999_dp, 38.4561028575374024_dp, 38.4351692838830985_dp, &
+         & 38.4169832324051015_dp, 38.4013736289101004_dp, 38.3881489517497982_dp, 38.3771024383397972_dp, &
+         & 38.3680173616030018_dp, 38.3606722469804993_dp, 38.3548459021439996_dp, 38.3503221360426991_dp, &
+         & 38.3468940515973031_dp, 38.3443678073136027_dp, 38.3425657572182033_dp, 38.3413288955853986_dp, &
+         & 38.3405185525106020_dp, 38.3400173079397035_dp, 38.3397291146089003_dp, 38.3395786437466981_dp, &
+         & 38.3395098905468004_dp, 38.3394840985534984_dp, 38.3394770824780977_dp, 38.3394760469191027_dp, &
+         & 38.3394759110756027_dp, 38.3394727460846028_dp, 38.3394513027868982_dp, 38.3393724746811984_dp, &
+         & 38.3391623457826967_dp, 38.3387024731181967_dp, 38.3378217209181003_dp, 38.3362899570856968_dp, &
+         & 38.3338138750235018_dp, 38.3300351497275003_dp, 38.3245310770923027_dp, 38.3168177804780967_dp, &
+         & 38.3063559998261027_dp, 38.2925594071321029_dp, 38.2748053192057966_dp, 38.2524476055897011_dp, &
+         & 38.2248315173170994_dp, 38.1913100914984014_dp, 38.1512617178712006_dp, 38.1041083867659012_dp, &
+         & 38.0493340744588977_dp, 37.9865026642693024_dp, 37.9152747551311009_dp, 37.8354226818043031_dp, &
+         & 37.7468430727617985_dp, 37.6495663142056003_dp, 37.5437623805719980_dp, 37.4297426368375028_dp, &
+         & 37.3079574112668979_dp, 37.1789893647884000_dp, 37.0435429223340975_dp, 36.9024302547189009_dp, &
+         & 36.7565544797639987_dp, 36.6068908672241022_dp, 36.4544668729690002_dp, 36.3003417956096968_dp, &
+         & 36.1455867566513973_dp, 35.9912655744649967_dp, 35.8384169568716970_dp, 35.6880382985672995_dp, &
+         & 35.5410712535176003_dp, 35.3983891664734003_dp, 35.2607863920216005_dp, 35.1289694986899974_dp, &
+         & 35.0035503413059033_dp, 34.8850409786542031_dp, 34.7738504087606017_dp, 34.6702830867509988_dp, &
+         & 34.5745391786875018_dp, 34.4867164894477014_dp, 34.4068139849940025_dp, 34.3347368107918030_dp, &
+         & 34.2703026898298972_dp, 34.2132495661861000_dp, 34.1632443433521971_dp, 34.1198925502738035_dp, &
+         & 34.0827487519699019_dp, 34.0513275055986995_dp, 34.0251146472941031_dp, 34.0035786807866032_dp, &
+         & 33.9861820269592982_dp, 33.9723918855286016_dp, 33.9616904575660001_dp, 33.9535842820683982_dp, &
+         & 33.9476124524300005_dp, 33.9433535002360998_dp, 33.9404307644355967_dp, 33.9385161032134022_dp, &
+         & 33.9373318526340029_dp, 33.9366509886778971_dp, 33.9362955054621978_dp, 33.9361330797626977_dp, &
+         & 33.9360721478737020_dp, 33.9360555728844986_dp, 33.9360531264495009_dp, 33.9360529104758015_dp, &
+         & 33.9360486785784019_dp, 33.9360200068400033_dp, 33.9359146063437009_dp, 33.9356336461408006_dp, &
+         & 33.9350187656336004_dp, 33.9338411730058027_dp, 33.9317932578840029_dp, 33.9284830901586005_dp, &
+         & 33.9234321119621001_dp, 33.9160762555524968_dp, 33.9057706352030976_dp, 33.8917978650607026_dp, &
+         & 33.8733799466616006_dp, 33.8496935497836020_dp, 33.8198883805082033_dp, 33.7831081947115024_dp, &
+         & 33.7385138798303998_dp, 33.6853079008410035_dp, 33.6227592976281002_dp, 33.5502283404762025_dp, &
+         & 33.4671899075728021_dp, 33.3732546500952978_dp, 33.2681870599093017_dp, 33.1519196511420020_dp, &
+         & 33.0245626049731982_dp, 32.8864083995340977_dp, 32.7379311460210971_dp, 32.5797805715574000_dp, &
+         & 32.4127708239566985_dp, 32.2378645175280028_dp, 32.0561526813358029_dp, 31.8688314914884003_dp, &
+         & 31.6771768369019995_dp, 31.4825178499757996_dp, 31.2862105050822983_dp, 31.0896122465137985_dp, &
+         & 30.8940583801702999_dp, 30.7008406995174994_dp, 30.5111885720608988_dp, 30.3262525303832007_dp, &
+         & 30.1470903085273001_dp, 29.9746552310278993_dp, 29.8097868727616984_dp, 29.6532039344332006_dp, &
+         & 29.5054992993403999_dp, 29.3671372415908003_dp, 29.2384527435824992_dp, 29.1196528567035990_dp, &
+         & 29.0108200109540988_dp, 28.9119171524489005_dp, 28.8227945658447986_dp, 28.7431982223679015_dp, &
+         & 28.6727794821191004_dp, 28.6111059695748011_dp, 28.5576734314423994_dp, 28.5119183745831002_dp, &
+         & 28.4732312677504993_dp, 28.4409700745786012_dp, 28.4144738677062989_dp, 28.3930762569890014_dp, &
+         & 28.3761183507904988_dp, 28.3629609609318010_dp, 28.3529957614472004_dp, 28.3456551209450005_dp, &
+         & 28.3404203495181015_dp, 28.3368281343904016_dp, 28.3344749834948999_dp, 28.3330195516677996_dp, &
+         & 28.3321827879453991_dp, 28.3317459117340000_dp, 28.3315462970696004_dp, 28.3314714143429001_dp, &
+         & 28.3314510443902989_dp, 28.3314480378267000_dp, 28.3314477966630989_dp, 28.3314433459713015_dp, &
+         & 28.3314131918708014_dp, 28.3313023420726005_dp, 28.3310068561712001_dp, 28.3303601872377016_dp, &
+         & 28.3291217186901001_dp, 28.3269679483487984_dp, 28.3234867133362016_dp, 28.3181747821960990_dp, &
+         & 28.3104390634476992_dp, 28.2996015914397994_dp, 28.2849083494892994_dp, 28.2655418760291006_dp, &
+         & 28.2406374721406017_dp, 28.2093026903580011_dp, 28.1706396391054987_dp, 28.1237694910195017_dp, &
+         & 28.0678584453550002_dp, 28.0021442750267013_dp, 27.9259624985845001_dp, 27.8387711669912008_dp, &
+         & 27.7401732528198011_dp, 27.6299356804593010_dp, 27.5080041410075005_dp, 27.3745129912473999_dp, &
+         & 27.2297897350950997_dp, 27.0743538177559984_dp, 26.9089097150836984_dp, 26.7343345594340995_dp, &
+         & 26.5516607937234994_dp, 26.3620545715897983_dp, 26.1667908073501003_dp, 25.9672259096462987_dp, &
+         & 25.7647692953144016_dp, 25.5608547689938987_dp, 25.3569127712367006_dp, 25.1543443540867990_dp, &
+         & 24.9544975565613996_dp, 24.7586466460216990_dp, 24.5679744884041007_dp, 24.3835581304868008_dp, &
+         & 24.2063575341872017_dp, 24.0372073020832993_dp, 23.8768111736713990_dp, 23.7257390468450993_dp, &
+         & 23.5844262795186985_dp, 23.4531750425452010_dp, 23.3321575186666017_dp, 23.2214207668294996_dp, &
+         & 23.1208930926715013_dp, 23.0303917820614998_dp, 22.9496320642915990_dp, 22.8782371746404998_dp, &
+         & 22.8157493827483009_dp, 22.7616418439306010_dp, 22.7153311158414013_dp, 22.6761901636532990_dp, &
+         & 22.6435616544840990_dp, 22.6167713179080998_dp, 22.5951411262638011_dp, 22.5780020286278997_dp, &
+         & 22.5647059584417988_dp, 22.5546368294197990_dp, 22.5472202397296009_dp, 22.5419316220791011_dp, &
+         & 22.5383026080036011_dp, 22.5359254180502013_dp, 22.5344551444467989_dp, 22.5336098569748984_dp, &
+         & 22.5331685331501994_dp, 22.5329668869172011_dp, 22.5328912421733989_dp, 22.5328706649425001_dp, &
+         & 22.5328676277854001_dp, 22.5328673935306014_dp, 22.5328631870664005_dp, 22.5328346876463996_dp, &
+         & 22.5327299206728995_dp, 22.5324506496864991_dp, 22.5318394684108014_dp, 22.5306689695363005_dp, &
+         & 22.5286334195603004_dp, 22.5253433151981000_dp, 22.5203231346050003_dp, 22.5130125248169009_dp, &
+         & 22.5027710838403010_dp, 22.4888868000394986_dp, 22.4705881017220008_dp, 22.4470593461118000_dp, &
+         & 22.4174594409839010_dp, 22.3809431481822010_dp, 22.3366844726621991_dp, 22.2839014027366993_dp, &
+         & 22.2218811479457017_dp, 22.1500049325616004_dp, 22.0677713568504998_dp, 21.9748173443936992_dp, &
+         & 21.8709357576419983_dp, 21.7560888856651005_dp, 21.6304171817821995_dp, 21.4942428424474983_dp, &
+         & 21.3480680557443989_dp, 21.1925679892086016_dp, 21.0285788142845007_dp, 20.8570812640443002_dp, &
+         & 20.6791803830019987_dp, 20.4960822499968991_dp, 20.3090685385503988_dp, 20.1194698265497003_dp, &
+         & 19.9286385796937004_dp, 19.7379227087604008_dp, 19.5486405351377002_dp, 19.3620578890872999_dp, &
+         & 19.1793679132682016_dp, 19.0016739609198986_dp, 18.8299757826584013_dp, 18.6651590109939995_dp, &
+         & 18.5079877984884007_dp, 18.3591003576016014_dp, 18.2190070913939017_dp, 18.0880909887492010_dp, &
+         & 17.9666099741705985_dp, 17.8547009371771992_dp, 17.7523852081591009_dp, 17.6595752877566987_dp, &
+         & 17.5760826704658015_dp, 17.5016266280201016_dp, 17.4358438337131005_dp, 17.3782987155587989_dp, &
+         & 17.3284944247730017_dp, 17.2858842973417985_dp, 17.2498836714887993_dp, 17.2198819040471989_dp, &
+         & 17.1952544059045991_dp, 17.1753744931066983_dp, 17.1596248285260984_dp, 17.1474082120623983_dp, &
+         & 17.1381574679160984_dp, 17.1313441779833013_dp, 17.1264860226389999_dp, 17.1231525150560984_dp, &
+         & 17.1209689526652014_dp, 17.1196184582836004_dp, 17.1188420417396010_dp, 17.1184366775802985_dp, &
+         & 17.1182514622629007_dp, 17.1181819814274014_dp, 17.1181630809388992_dp, 17.1181602912657986_dp, &
+         & 17.1181600800402016_dp, 17.1181563381990998_dp, 17.1181309866724014_dp, 17.1180377917348991_dp, &
+         & 17.1177893679139004_dp, 17.1172456967623994_dp, 17.1162044949698995_dp, 17.1143938159843998_dp, &
+         & 17.1114672227760991_dp, 17.1070018153958010_dp, 17.1004993343793004_dp, 17.0913904881190000_dp, &
+         & 17.0790425672948984_dp, 17.0627703110482010_dp, 17.0418498775922984_dp, 17.0155356479003999_dp, &
+         & 16.9830794586398994_dp, 16.9437517257509995_dp, 16.8968637914502011_dp, 16.8417907153716016_dp, &
+         & 16.7779936464167996_dp, 16.7050408667751995_dp, 16.6226266026849991_dp, 16.5305867534740010_dp, &
+         & 16.4289108018835002_dp, 16.3177493294449008_dp, 16.1974167598298990_dp, 16.0683891751681998_dp, &
+         & 15.9312972775574995_dp, 15.7869147831417997_dp, 15.6361427251703997_dp, 15.4799902963137992_dp, &
+         & 15.3195529753769009_dp, 15.1559887595711995_dp, 14.9904933626665002_dp, 14.8242752434232994_dp, &
+         & 14.6585312982613996_dp, 14.4944239868934996_dp, 14.3330605601742000_dp, 14.1754749288275992_dp, &
+         & 14.0226125570448001_dp, 13.8753185970965998_dp, 13.7343293135647002_dp, 13.6002666924568008_dp, &
+         & 13.4736360033178997_dp, 13.3548259896807000_dp, 13.2441113082957997_dp, 13.1416568193185999_dp, &
+         & 13.0475233429366000_dp, 12.9616745351539997_dp, 12.8839845878681007_dp, 12.8142465173363007_dp, &
+         & 12.7521808630978004_dp, 12.6974446704374007_dp, 12.6496406694709993_dp, 12.6083265906191002_dp, &
+         & 12.5730245689626994_dp, 12.5432305895013005_dp, 12.5184239134921000_dp, 12.4980764055609992_dp, &
+         & 12.4816616554297006_dp, 12.4686637605576998_dp, 12.4585856104685000_dp, 12.4509564935718000_dp, &
+         & 12.4453388359656998_dp, 12.4413338813542005_dp, 12.4385861332327003_dp, 12.4367864051849999_dp, &
+         & 12.4356733616619000_dp, 12.4350334781012997_dp, 12.4346994029396001_dp, 12.4345467616325998_dp, &
+         & 12.4344895006722993_dp, 12.4344739243088007_dp, 12.4344716252703993_dp, 12.4344714526807998_dp, &
+         & 12.4344684149094000_dp, 12.4344478335668995_dp, 12.4343721744597993_dp, 12.4341704957138006_dp, &
+         & 12.4337291300352000_dp, 12.4328838747006998_dp, 12.4314140084658007_dp, 12.4290384210026001_dp, &
+         & 12.4254141011795998_dp, 12.4201371837322991_dp, 12.4127466973026994_dp, 12.4027310879996993_dp, &
+         & 12.3895375095983002_dp, 12.3725837734211996_dp, 12.3512727387180004_dp, 12.3250088010703998_dp, &
+         & 12.2932160075789998_dp, 12.2553572013263992_dp, 12.2109534839265006_dp, 12.1596031952326999_dp, &
+         & 12.1009995550815006_dp, 12.0349461037935992_dp, 11.9613691239835997_dp, 11.8803263300516999_dp, &
+         & 11.7920112724593995_dp, 11.6967531146338999_dp, 11.5950116882703007_dp, 11.4873679998105001_dp, &
+         & 11.3745106249937002_dp, 11.2572186660111004_dp, 11.1363421345080003_dp, 11.0127807452306996_dp, &
+         & 10.8874621482069998_dp, 10.7613205895848001_dp, 10.6352768796937998_dp, 10.5102203771859006_dp, &
+         & 10.3869934919756002_dp, 10.2663789915734007_dp, 10.1490901886173006_dp, 10.0357639109190995_dp, &
+         & 9.9269560215578299_dp, 9.8231391704830706_dp, 9.7247024190176994_dp, 9.6319523776641596_dp, &
+         & 9.5451155258491198_dp, 9.4643414289155601_dp, 9.3897066228809791_dp, 9.3212189932536305_dp, &
+         & 9.2588225249351304_dp, 9.2024023426247297_dp, 9.1517899937108407_dp, 9.1067689482215304_dp, &
+         & 9.0670803035984999_dp, 9.0324286868159298_dp, 9.0024883437671708_dp, 8.9769093969977298_dp, &
+         & 8.9553242389241703_dp, 8.9373540098965094_dp, 8.9226150902565795_dp, 8.9107255145346507_dp, &
+         & 8.9013111959153708_dp, 8.8940118320007002_dp, 8.8884863505900000_dp, 8.8844177483868592_dp, &
+         & 8.8815171775608395_dp, 8.8795271457363096_dp, 8.8782237143837808_dp, 8.8774176081573302_dp, &
+         & 8.8769541821559308_dp, 8.8767122334778801_dp, 8.8766016854616296_dp, 8.8765602151380598_dp, &
+         & 8.8765489342096195_dp, 8.8765472691684000_dp, 8.8765471445533297_dp, 8.8765449562502301_dp, &
+         & 8.8765301301789705_dp, 8.8764756280368609_dp, 8.8763303458291301_dp, 8.8760124017708897_dp, &
+         & 8.8754035104411404_dp, 8.8743446732737503_dp, 8.8726333913261808_dp, 8.8700225779403894_dp, &
+         & 8.8662213150289002_dp, 8.8608975554414808_dp, 8.8536828232513400_dp, 8.8441789022521693_dp, &
+         & 8.8319664297887304_dp, 8.8166152289991206_dp, 8.7976961202734394_dp, 8.7747938570542896_dp, &
+         & 8.7475207390033205_dp, 8.7155303757678997_dp, 8.6785310167614895_dp, 8.6362978358602405_dp, &
+         & 8.5886835722545101_dp, 8.5356269840678802_dp, 8.4771586693503291_dp, 8.4134039439605903_dp, &
+         & 8.3445826268571608_dp, 8.2710057556403598_dp, 8.1930694221339504_dp, 8.1112460633488901_dp, &
+         & 8.0260736546383793_dp, 7.9381433219224702_dp, 7.8480859175674000_dp, 7.7565580947951096_dp, &
+         & 7.6642283774767401_dp, 7.5717636664943297_dp, 7.4798165600569000_dp, 7.3890137998019396_dp, &
+         & 7.2999460897223800_dp, 7.2131594703478603_dp, 7.1291483643221101_dp, 7.0483503405691899_dp, &
+         & 6.9711425740834398_dp, 6.8978399112569004_dp, 6.8286943926643699_dp, 6.7638960424671604_dp, &
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+         & 0.1074041497062050_dp, 0.1070242242830660_dp, 0.1067178930021480_dp, 0.1064754296636960_dp, &
+         & 0.1062874938492800_dp, 0.1061452635034570_dp, 0.1060405529536300_dp, 0.1059659127856420_dp, &
+         & 0.1059147080976790_dp, 0.1058811720975680_dp, 0.1058604325961810_dp, 0.1058485098536510_dp, &
+         & 0.1058422852264660_dp, 0.1058394411704950_dp, 0.1058383742708600_dp, 0.1058380840492110_dp, &
+         & 0.1058380412130190_dp, 0.1058380378422330_dp, 0.1058379764397870_dp, 0.1058375604312540_dp, &
+         & 0.1058360311437310_dp, 0.1058319546622140_dp, 0.1058230335725770_dp, 0.1058059493475480_dp, &
+         & 0.1057762420175690_dp, 0.1057282331984980_dp, 0.1056549978704740_dp, 0.1055483894520320_dp, &
+         & 0.1053991216288490_dp, 0.1051969089817600_dp, 0.1049306666491960_dp, 0.1045887670359780_dp, &
+         & 0.1041593489464960_dp, 0.1036306715429870_dp, 0.1029915023812290_dp, 0.1022315257296920_dp, &
+         & 0.1013417545966180_dp, 0.1003149278729650_dp, 0.0991458729062416_dp, 0.0978318139976437_dp, &
+         & 0.0963726089032448_dp, 0.0947708983522162_dp, 0.0930321578675262_dp, 0.0911646463646250_dp, &
+         & 0.0891792517847705_dp, 0.0870892399780772_dp, 0.0849099185699203_dp, 0.0826582323892637_dp, &
+         & 0.0803523104733301_dp, 0.0780109867163361_dp, 0.0756533166061644_dp, 0.0732981112331927_dp, &
+         & 0.0709635075617854_dp, 0.0686665902803369_dp, 0.0664230770919332_dp, 0.0642470743544337_dp, &
+         & 0.0621509060294230_dp, 0.0601450138849629_dp, 0.0582379235997195_dp, 0.0564165990664591_dp, &
+         & 0.0547274984575026_dp, 0.0531513987260723_dp, 0.0516898665171581_dp, 0.0503430366455859_dp, &
+         & 0.0491097722053695_dp, 0.0479878253529264_dp, 0.0469739931495923_dp, 0.0460642646707825_dp, &
+         & 0.0452539572092121_dp, 0.0445378407341437_dp, 0.0439102508197493_dp, 0.0433651910501851_dp, &
+         & 0.0428964264548952_dp, 0.0424975698090009_dp, 0.0421621626403024_dp, 0.0418837525340976_dp, &
+         & 0.0416559678694313_dp, 0.0414725905258280_dp, 0.0413276264439162_dp, 0.0412153732735163_dp, &
+         & 0.0411304837613855_dp, 0.0410680230682061_dp, 0.0410235179046268_dp, 0.0409929952683683_dp, &
+         & 0.0409730086640820_dp, 0.0409606499902395_dp, 0.0409535457589527_dp, 0.0409498369359724_dp, &
+         & 0.0409481423957203_dp, 0.0409475067235192_dp, 0.0409473338060522_dp, 0.0409473082838261_dp, &
+         & 0.0409473062575572_dp, 0.0409472691234924_dp, 0.0409470175352524_dp, 0.0409460926775367_dp, &
+         & 0.0409436274022781_dp, 0.0409382324911718_dp, 0.0409279016772501_dp, 0.0409099397043988_dp, &
+         & 0.0408809175075433_dp, 0.0408366583443254_dp, 0.0407722583335755_dp, 0.0406821442735890_dp, &
+         & 0.0405601707341390_dp, 0.0403997571646642_dp, 0.0401940640890217_dp, 0.0399362053681855_dp, &
+         & 0.0396194910727772_dp, 0.0392376928549396_dp, 0.0387853210527780_dp, 0.0382579003653447_dp, &
+         & 0.0376522291084527_dp, 0.0369666061180993_dp, 0.0362010096047456_dp, 0.0353572138912028_dp, &
+         & 0.0344388330533363_dp, 0.0334512848623305_dp, 0.0324016736929522_dp, 0.0312985966480142_dp, &
+         & 0.0301518824861731_dp, 0.0289722776119845_dp, 0.0277710971230647_dp, 0.0265598614134746_dp, &
+         & 0.0253499396585681_dp, 0.0241522201895705_dp, 0.0229768242672463_dp, 0.0218328747967007_dp, &
+         & 0.0207283263356430_dp, 0.0196698583254502_dp, 0.0186628299032066_dp, 0.0177112913273021_dp, &
+         & 0.0168180436342809_dp, 0.0159847352965414_dp, 0.0152119835714259_dp, 0.0144995094248088_dp, &
+         & 0.0138462774637560_dp, 0.0132506345787391_dp, 0.0127104420502349_dp, 0.0122231962280992_dp, &
+         & 0.0117861337617100_dp, 0.0113963193375923_dp, 0.0110507163577296_dp, 0.0107462428026679_dp, &
+         & 0.0104798150193233_dp, 0.0102483816693848_dp, 0.0100489493970670_dp, 0.0098786015327761_dp, &
+         & 0.0097345113640159_dp, 0.0096139518114526_dp, 0.0095143033866591_dp, 0.0094330619810208_dp, &
+         & 0.0093678474705001_dp, 0.0093164135211694_dp, 0.0092766584791875_dp, 0.0092466368652992_dp, &
+         & 0.0092245707491472_dp, 0.0092088601189602_dp, 0.0091980912785843_dp, 0.0091910422951500_dp, &
+         & 0.0091866845973669_dp, 0.0091841799836629_dp, 0.0091828725323140_dp, 0.0091822751887207_dp, &
+         & 0.0091820511112672_dp, 0.0091819901574013_dp, 0.0091819811607650_dp, 0.0091819804398909_dp, &
+         & 0.0091819671463824_dp, 0.0091818770812395_dp, 0.0091815459978264_dp, 0.0091806634937228_dp, &
+         & 0.0091787323718791_dp, 0.0091750348731310_dp, 0.0091686074900750_dp, 0.0091582261021088_dp, &
+         & 0.0091424031839651_dp, 0.0091193987859057_dp, 0.0090872468020251_dp, 0.0090437976695910_dp, &
+         & 0.0089867780239246_dp, 0.0089138669447877_dp, 0.0088227872876416_dp, 0.0087114092599165_dp, &
+         & 0.0085778619770807_dp, 0.0084206473305244_dp, 0.0082387492313245_dp, 0.0080317302887210_dp, &
+         & 0.0077998074378627_dp, 0.0075438982813054_dp, 0.0072656313697621_dp, 0.0069673165946469_dp, &
+         & 0.0066518760487000_dp, 0.0063227401377688_dp, 0.0059837169651189_dp, 0.0056388441076649_dp, &
+         & 0.0052922313185420_dp, 0.0049498736030174_dp, 0.0046116336686097_dp, 0.0042828749912545_dp, &
+         & 0.0039665637254700_dp, 0.0036651426783720_dp, 0.0033804989852442_dp, 0.0031139654173060_dp, &
+         & 0.0028663499518373_dp, 0.0026379857534167_dp, 0.0024287948933690_dp, 0.0022383604351361_dp, &
+         & 0.0020659997531283_dp, 0.0019108311338130_dp, 0.0017718299330198_dp, 0.0016478766199341_dp, &
+         & 0.0015378016082153_dp, 0.0014404295228445_dp, 0.0013546199302184_dp, 0.0012792969228172_dp, &
+         & 0.0012134615492982_dp, 0.0011561886376867_dp, 0.0011066165721374_dp, 0.0010639393378184_dp, &
+         & 0.0010274051127652_dp, 0.0009963196634999_dp, 0.0009700498594185_dp, 0.0009480235447867_dp, &
+         & 0.0009297249382811_dp, 0.0009146872500096_dp, 0.0009024850293500_dp, 0.0008927280962183_dp, &
+         & 0.0008850577117485_dp, 0.0008791447140268_dp, 0.0008746889564506_dp, 0.0008714194122987_dp, &
+         & 0.0008690944976024_dp, 0.0008675023389486_dp, 0.0008664608098954_dp, 0.0008658171968392_dp, &
+         & 0.0008654473679215_dp, 0.0008652543376044_dp, 0.0008651661527423_dp, 0.0008651330735532_dp, &
+         & 0.0008651240753892_dp, 0.0008651227472853_dp, 0.0008651226399365_dp, 0.0008651206487613_dp, &
+         & 0.0008651071583188_dp, 0.0008650575672888_dp, 0.0008649253854571_dp, 0.0008646361578926_dp, &
+         & 0.0008640824410335_dp, 0.0008631201146017_dp, 0.0008615663365106_dp, 0.0008591994782279_dp, &
+         & 0.0008557614101932_dp, 0.0008509625339741_dp, 0.0008444899618780_dp, 0.0008360191843693_dp, &
+         & 0.0008252293679831_dp, 0.0008118219938567_dp, 0.0007955418103052_dp, 0.0007761980986842_dp, &
+         & 0.0007536833668667_dp, 0.0007279863984238_dp, 0.0006991977349955_dp, 0.0006675082299310_dp, &
+         & 0.0006332041820301_dp, 0.0005966635511925_dp, 0.0005583549081862_dp, 0.0005188343517304_dp, &
+         & 0.0004787294911637_dp, 0.0004387004571029_dp, 0.0003993804663409_dp, 0.0003613172761234_dp, &
+         & 0.0003249446918190_dp, 0.0002905957652501_dp, 0.0002585355883085_dp, 0.0002289726031321_dp, &
+         & 0.0002020251506707_dp, 0.0001776674482414_dp, 0.0001557204102909_dp, 0.0001359346269894_dp, &
+         & 1.1812569255909000e-04_dp, 1.0224442146267201e-04_dp, 8.8291953012742397e-05_dp, 7.6124157622814396e-05_dp, &
+         & 6.5316396842263202e-05_dp, 5.5218513253407798e-05_dp, 4.5225854471198097e-05_dp, 3.5147294973114599e-05_dp, &
+         & 2.5272372056406301e-05_dp, 1.6176882041918398e-05_dp, 8.4619277487263406e-06_dp, 2.3639714115120101e-06_dp, &
+         & 2.3661066634872398e-06_dp, 1.9620704918565900e-06_dp, 5.8670818248174296e-07_dp, 1.9276917768706902e-06_dp, &
+         & 2.2707646749608999e-06_dp, 2.1409792552162799e-06_dp, 1.8244734647510101e-06_dp, 1.5328715363693799e-06_dp, &
+         & 1.3601430239873501e-06_dp, 1.2878968718155199e-06_dp, 1.2532978885815299e-06_dp, 1.2023514912584700e-06_dp, &
+         & 1.1024635426792901e-06_dp, 9.5856297832597193e-07_dp, 7.9005151576438895e-07_dp, 6.1765579317807404e-07_dp, &
+         &  4.5772364387630702e-07_dp, 3.2048843934262502e-07_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, 0.0000000000000000e+00_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp &
+         &]
+      case (41)
+         out = [&
+         & 41.0000000000000000_dp, 40.9999999651547000_dp, 40.9999988876689017_dp, 40.9999915875326977_dp, &
+         & 40.9999647512858019_dp, 40.9998932143679014_dp, 40.9997366507912986_dp, 40.9994367868249014_dp, &
+         & 40.9989152395448997_dp, 40.9980720621127972_dp, 40.9967850561306975_dp, 40.9949098881747034_dp, &
+         & 40.9922810235061021_dp, 40.9887134659632011_dp, 40.9840052700814965_dp, 40.9779407704543033_dp, &
+         & 40.9702944549173012_dp, 40.9608353927786979_dp, 40.9493321171516982_dp, 40.9355578512774017_dp, &
+         & 40.9192959620454033_dp, 40.9003455189877982_dp, 40.8785268330625016_dp, 40.8536868458823008_dp, &
+         & 40.8257042364030980_dp, 40.7944941086557975_dp, 40.7600121217170965_dp, 40.7222579231530020_dp, &
+         & 40.6812777513871993_dp, 40.6371660826918983_dp, 40.5900662162911985_dp, 40.5401697172352016_dp, &
+         & 40.4877146710869980_dp, 40.4329827457560000_dp, 40.3762951016387035_dp, 40.3180072383837995_dp, &
+         & 40.2585029114896997_dp, 40.1981872910353033_dp, 40.1374795651823035_dp, 40.0768052106195967_dp, &
+         & 40.0165881599415982_dp, 39.9572430922951014_dp, 39.8991680597423013_dp, 39.8427376396536985_dp, &
+         & 39.7882967754301973_dp, 39.7361554364253990_dp, 39.6865841953212026_dp, 39.6398107892458995_dp, &
+         & 39.5960177009283996_dp, 39.5553407689725987_dp, 39.5178688122352995_dp, 39.4836442322983032_dp, &
+         & 39.4526645398535010_dp, 39.4248847351066019_dp, 39.4002204586336973_dp, 39.3785518171725002_dp, &
+         & 39.3597277783800976_dp, 39.3435710195713000_dp, 39.3298831079581035_dp, 39.3184498841449965_dp, &
+         & 39.3090469169133030_dp, 39.3014448960115033_dp, 39.2954148311211995_dp, 39.2907329297067989_dp, &
+         & 39.2871850342924986_dp, 39.2845705109342020_dp, 39.2827054951797976_dp, 39.2814254193904020_dp, &
+         & 39.2805867655046015_dp, 39.2800680095982031_dp, 39.2797697482209998_dp, 39.2796140207086992_dp, &
+         & 39.2795428656511021_dp, 39.2795161726296982_dp, 39.2795089114520977_dp, 39.2795078397165014_dp, &
+         & 39.2795076991274001_dp, 39.2795044235694988_dp, 39.2794822311641028_dp, 39.2794006492568002_dp, &
+         & 39.2791831797116018_dp, 39.2787072421080978_dp, 39.2777957231935986_dp, 39.2762104544298012_dp, &
+         & 39.2736478905376032_dp, 39.2697372061388990_dp, 39.2640409657425025_dp, 39.2560584553041991_dp, &
+         & 39.2452316924046016_dp, 39.2309540579049028_dp, 39.2125814160400026_dp, 39.1894455135619992_dp, &
+         & 39.1608693728000006_dp, 39.1261843190673986_dp, 39.0847482101384998_dp, 39.0359643650088017_dp, &
+         & 38.9793006221312979_dp, 38.9143078967934031_dp, 38.8406375589250032_dp, 38.7580569250754010_dp, &
+         & 38.6664621625972984_dp, 38.5658879517824005_dp, 38.4565133518552997_dp, 38.3386634724491984_dp, &
+         & 38.2128067576892008_dp, 38.0795479295318984_dp, 37.9396168860791008_dp, 37.7938540799918030_dp, &
+         & 37.6431930836237001_dp, 37.4886411597743034_dp, 37.3312586902274006_dp, 37.1721382720221030_dp, &
+         & 37.0123841891141012_dp, 36.8530928278733967_dp, 36.6953344541023014_dp, 36.5401366290939009_dp, &
+         & 36.3884694278426011_dp, 36.2412325404311986_dp, 36.0992442865746028_dp, 35.9632325465345986_dp, &
+         & 35.8338275999043034_dp, 35.7115568582458991_dp, 35.5968414716351020_dp, 35.4899947792278994_dp, &
+         & 35.3912225592124017_dp, 35.3006250150026020_dp, 35.2182004141749019_dp, 35.1438502762222029_dp, &
+         & 35.0773859858850017_dp, 35.0185366909659024_dp, 34.9669583269110973_dp, 34.9222435944924001_dp, &
+         & 34.8839327011278968_dp, 34.8515246605711013_dp, 34.8244889301465008_dp, 34.8022771502485000_dp, &
+         & 34.7843347386790001_dp, 34.7701120841594999_dp, 34.7590750806608995_dp, 34.7507147486360992_dp, &
+         & 34.7445557020754023_dp, 34.7401632423461990_dp, 34.7371488912101967_dp, 34.7351742157770005_dp, &
+         & 34.7339528462878988_dp, 34.7332506417825968_dp, 34.7328840166267980_dp, 34.7327165000257025_dp, &
+         & 34.7326536583545007_dp, 34.7326365638574970_dp, 34.7326340407441023_dp, 34.7326338180011973_dp, &
+         & 34.7326294534639004_dp, 34.7325998830711029_dp, 34.7324911790244997_dp, 34.7322014127592027_dp, &
+         & 34.7315672603482000_dp, 34.7303527595213026_dp, 34.7282406601131015_dp, 34.7248267518605971_dp, &
+         & 34.7196174866391019_dp, 34.7120311357772025_dp, 34.7014026358914975_dp, 34.6869921775740977_dp, &
+         & 34.6679974795790002_dp, 34.6435695672695019_dp, 34.6128317400050989_dp, 34.5749012719175965_dp, &
+         & 34.5289132504422014_dp, 34.4740458254421966_dp, 34.4095460287006034_dp, 34.3347552393676025_dp, &
+         & 34.2491333251499981_dp, 34.1522804887608018_dp, 34.0439558979642030_dp, 33.9240922749276024_dp, &
+         & 33.7928057623796008_dp, 33.6504005639533972_dp, 33.4973680674365966_dp, 33.3343803966072016_dp, &
+         & 33.1622785941548983_dp, 32.9820559059328033_dp, 32.7948368988108996_dp, 32.6018533732788001_dp, &
+         & 32.4044181918057035_dp, 32.2038982001626977_dp, 32.0016873526188022_dp, 31.7991809724974992_dp, &
+         & 31.5977518265818986_dp, 31.3987284233075989_dp, 31.2033757164617995_dp, 31.0128782429589016_dp, &
+         & 30.8283256505735999_dp, 30.6507005603129983_dp, 30.4808687281241006_dp, 30.3195714938741006_dp, &
+         & 30.1674205145163015_dp, 30.0248947677239997_dp, 29.8923397857365991_dp, 29.7699690445968983_dp, &
+         & 29.6578673993119004_dp, 29.5559964262164989_dp, 29.4642015122590983_dp, 29.3822205166350017_dp, &
+         & 29.3096938209504998_dp, 29.2461755770613010_dp, 29.1911459542114002_dp, 29.1440241771983004_dp, &
+         & 29.1041821341677007_dp, 29.0709583165462000_dp, 29.0436718358153989_dp, 29.0216362443490006_dp, &
+         & 29.0041728729108002_dp, 28.9906233883768998_dp, 28.9803612743981986_dp, 28.9728019472552987_dp, &
+         & 28.9674112405691986_dp, 28.9637120264767987_dp, 28.9612887870130002_dp, 28.9597900064377995_dp, &
+         & 28.9589283208886989_dp, 28.9584784330634015_dp, 28.9582728732453987_dp, 28.9581957602798994_dp, &
+         & 28.9581747836475998_dp, 28.9581716875394015_dp, 28.9581714391932010_dp, 28.9581668559461995_dp, &
+         & 28.9581358037645984_dp, 28.9580216525246996_dp, 28.9577173661888985_dp, 28.9570514377029014_dp, &
+         & 28.9557760847433983_dp, 28.9535581718993988_dp, 28.9499732650159984_dp, 28.9445031542864015_dp, &
+         & 28.9365371033510996_dp, 28.9253769907989984_dp, 28.9102464066397999_dp, 28.8903036486543989_dp, &
+         & 28.8646584322971016_dp, 28.8323919850090995_dp, 28.7925800456017988_dp, 28.7443181383723996_dp, &
+         & 28.6867483486838992_dp, 28.6190867024624005_dp, 28.5406501577619984_dp, 28.4508821630094992_dp, &
+         & 28.3493757325647984_dp, 28.2358930413845997_dp, 28.1103806482731997_dp, 27.9729796184717010_dp, &
+         & 27.8240300241063991_dp, 27.6640695447858000_dp, 27.4938261572589013_dp, 27.3142051772896011_dp, &
+         & 27.1262711818339000_dp, 26.9312255771122011_dp, 26.7303807699891003_dp, 26.5251320297322017_dp, &
+         & 26.3169281826753014_dp, 26.1072422587502011_dp, 25.8975431105983986_dp, 25.6892688666980007_dp, &
+         & 25.4838028807088008_dp, 25.2824526248714996_dp, 25.0864317698442001_dp, 24.8968455161114015_dp, &
+         & 24.7146791049031016_dp, 24.5407893431889015_dp, 24.3758989245442983_dp, 24.2205933076298017_dp, &
+         & 24.0753199167550989_dp, 23.9403894448959988_dp, 23.8159790607424000_dp, 23.7021373424240984_dp, &
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+         & 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, 0.0000000000000000e+00_dp, 7.1054273576010003e-15_dp, &
+         & 7.1054273576010003e-15_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 7.1054273576010003e-15_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 7.1054273576010003e-15_dp, 0.0000000000000000e+00_dp, 7.1054273576010003e-15_dp, 0.0000000000000000e+00_dp, &
+         & 7.1054273576010003e-15_dp &
+         &]
+      case (42)
+         out = [&
+         & 42.0000000000000000_dp, 41.9999999639374977_dp, 41.9999988488139024_dp, 41.9999912936750022_dp, &
+         & 41.9999635200046981_dp, 41.9998894842107973_dp, 41.9997274516524968_dp, 41.9994171129641032_dp, &
+         & 41.9988773470264007_dp, 41.9980047152700990_dp, 41.9966727497181012_dp, 41.9947320731060003_dp, &
+         & 41.9920113644758999_dp, 41.9883191588234013_dp, 41.9834464456602987_dp, 41.9771700096505000_dp, &
+         & 41.9692564375004977_dp, 41.9594666994956995_dp, 41.9475612016059003_dp, 41.9333051946961035_dp, &
+         & 41.9164744205188029_dp, 41.8968608690396991_dp, 41.8742785174239032_dp, 41.8485689169773991_dp, &
+         & 41.8196064902068017_dp, 41.7873033961653988_dp, 41.7516138193145991_dp, 41.7125375367361997_dp, &
+         & 41.6701226226153025_dp, 41.6244671594365983_dp, 41.5757198439359001_dp, 41.5240794033980976_dp, &
+         & 41.4697927741825012_dp, 41.4131520379565004_dp, 41.3544901594567023_dp, 41.2941756192283975_dp, &
+         & 41.2326060818663009_dp, 41.1702012810628020_dp, 41.1073953341427014_dp, 41.0446287186235992_dp, &
+         & 40.9823401507982013_dp, 40.9209586017338012_dp, 40.8608956708162978_dp, 40.8025385131950031_dp, &
+         & 40.7462434877618023_dp, 40.6923306592237992_dp, 40.6410792537533965_dp, 40.5927241345197984_dp, &
+         & 40.5474533324673985_dp, 40.5054066398045975_dp, 40.4666752490963972_dp, 40.4313023995564009_dp, &
+         & 40.3992849737703992_dp, 40.3705759722464990_dp, 40.3450877794118981_dp, 40.3226961226164988_dp, &
+         & 40.3032446151311987_dp, 40.2865497649567033_dp, 40.2724063236043008_dp, 40.2605928430659006_dp, &
+         & 40.2508773053225966_dp, 40.2430226873052987_dp, 40.2367923256234974_dp, 40.2319549499476992_dp, &
+         & 40.2282892619082020_dp, 40.2255879478449998_dp, 40.2236610286512999_dp, 40.2223384680238993_dp, &
+         & 40.2214719812581976_dp, 40.2209360096883017_dp, 40.2206278502779995_dp, 40.2204669548869020_dp, &
+         & 40.2203934385340034_dp, 40.2203658597014027_dp, 40.2203583575608974_dp, 40.2203572502596032_dp, &
+         & 40.2203571050050002_dp, 40.2203537207473971_dp, 40.2203307918857007_dp, 40.2202465026843967_dp, &
+         & 40.2200218164703998_dp, 40.2195300852770004_dp, 40.2185883194170017_dp, 40.2169504499250010_dp, &
+         & 40.2143028664973983_dp, 40.2102624561568973_dp, 40.2043773041955035_dp, 40.1961301498468018_dp, &
+         & 40.1849446155746008_dp, 40.1701941519890013_dp, 40.1512135614913035_dp, 40.1273128840806024_dp, &
+         & 40.0977933494143031_dp, 40.0619650209713996_dp, 40.0191656815216987_dp, 39.9687804347086981_dp, &
+         & 39.9102614269333031_dp, 39.8431470302886979_dp, 39.7670797772457973_dp, 39.6818223104151002_dp, &
+         & 39.5872706177010016_dp, 39.4834638765074004_dp, 39.3705903394513967_dp, 39.2489888608504032_dp, &
+         & 39.1191458811326029_dp, 38.9816879377939998_dp, 38.8373700302090015_dp, 38.6870604006104983_dp, &
+         & 38.5317224756347017_dp, 38.3723948206907011_dp, 38.2101699843248994_dp, 38.0461730571098968_dp, &
+         & 37.8815406570228035_dp, 37.7174009059688018_dp, 37.5548548067266026_dp, 37.3949592886776969_dp, &
+         & 37.2387120788145012_dp, 37.0870384770092016_dp, 36.9407800685510992_dp, 36.8006853843494000_dp, &
+         & 36.6674025097927014_dp, 36.5414736378575995_dp, 36.4233315543124974_dp, 36.3132980298136019_dp, &
+         & 36.2115840753371003_dp, 36.1182919955311021_dp, 36.0334191516008033_dp, 35.9568633232724011_dp, &
+         & 35.8884295393317032_dp, 35.8278382283648966_dp, 35.7747345251068012_dp, 35.7286985523862981_dp, &
+         & 35.6892564833402020_dp, 35.6558921730299971_dp, 35.6280591330897991_dp, 35.6051926084021986_dp, &
+         & 35.5867215023645969_dp, 35.5720798887210989_dp, 35.5607178449782992_dp, 35.5521113467367016_dp, &
+         & 35.5457709752327986_dp, 35.5412492128289017_dp, 35.5381461333489028_dp, 35.5361133355573031_dp, &
+         & 35.5348560175421966_dp, 35.5341331454622988_dp, 35.5337557297550006_dp, 35.5335832828126001_dp, &
+         & 35.5335185915921983_dp, 35.5335009939721971_dp, 35.5334983965989011_dp, 35.5334981673003014_dp, &
+         & 35.5334936743064986_dp, 35.5334632336022977_dp, 35.5333513301986983_dp, 35.5330530356205969_dp, &
+         & 35.5324002191960986_dp, 35.5311499745136032_dp, 35.5289757161265030_dp, 35.5254613421365022_dp, &
+         & 35.5200987896564016_dp, 35.5122892316097989_dp, 35.5013480736698028_dp, 35.4865138081636999_dp, &
+         & 35.4669606667389985_dp, 35.4418148858822022_dp, 35.4101742610396997_dp, 35.3711305202586033_dp, &
+         & 35.3237939034045993_dp, 35.2673191967315987_dp, 35.2009323550322009_dp, 35.1239567554510970_dp, &
+         & 35.0358380780682026_dp, 34.9361668060086004_dp, 34.8246973861051003_dp, 34.7013631901343018_dp, &
+         & 34.5662865631747991_dp, 34.4197834345370026_dp, 34.2623621923540966_dp, 34.0947167796106001_dp, &
+         & 33.9177142496598023_dp, 33.7323773100121969_dp, 33.5398626612076001_dp, 33.3414361685753988_dp, &
+         & 33.1384460485879018_dp, 32.9322952755141998_dp, 32.7244143081768968_dp, 32.5162350233148985_dp, &
+         & 32.3091664727637990_dp, 32.1045728193337965_dp, 31.9037536027086013_dp, 31.7079263660166006_dp, &
+         & 31.5182116295660002_dp, 31.3356202035241012_dp, 31.1610428535967010_dp, 30.9952423477970989_dp, &
+         & 30.8388479059501002_dp, 30.6923520465848014_dp, 30.5561097857047983_dp, 30.4303400982595988_dp, &
+         & 30.3151295140127992_dp, 30.2104376895356985_dp, 30.1161047782929998_dp, 30.0318604095540991_dp, &
+         & 29.9573340809975015_dp, 29.8920667658536985_dp, 29.8355235302442985_dp, 29.7871069479801989_dp, &
+         & 29.7461710876901009_dp, 29.7120358311344006_dp, 29.6840012633570005_dp, 29.6613618571640991_dp, &
+         & 29.6434201589991986_dp, 29.6294996735183993_dp, 29.6189566427857010_dp, 29.6111904253153000_dp, &
+         & 29.6056522017580015_dp, 29.6018517685578999_dp, 29.5993622280455995_dp, 29.5978224418356994_dp, &
+         & 29.5969371817533009_dp, 29.5964749857912004_dp, 29.5962638022596991_dp, 29.5961845796412000_dp, &
+         & 29.5961630291318016_dp, 29.5961598483204007_dp, 29.5961595931800012_dp, 29.5961548845450011_dp, &
+         & 29.5961229828407006_dp, 29.5960057086670005_dp, 29.5956930977458015_dp, 29.5950089511567995_dp, &
+         & 29.5936987085371008_dp, 29.5914201228656992_dp, 29.5877371541386012_dp, 29.5821174283912001_dp, &
+         & 29.5739335272128017_dp, 29.5624682796734994_dp, 29.5469241219681997_dp, 29.5264364691361010_dp, &
+         & 29.5000909081711988_dp, 29.4669438747326993_dp, 29.4260463207642005_dp, 29.3764697243834014_dp, &
+         & 29.3173336455004012_dp, 29.2478339016228013_dp, 29.1672703399083986_dp, 29.0750731249274992_dp, &
+         & 28.9708264561140005_dp, 28.8542886806093009_dp, 28.7254078781278999_dp, 28.5843321620567998_dp, &
+         & 28.4314141583583009_dp, 28.2672093801940996_dp, 28.0924684974771992_dp, 27.9081237899577985_dp, &
+         & 27.7152703509378995_dp, 27.5151428558958990_dp, 27.3090889060724997_dp, 27.0985400839778983_dp, &
+         & 26.8849819041552998_dp, 26.6699238052322016_dp, 26.4548702153231012_dp, 26.2412935488975982_dp, &
+         & 26.0306097830217986_dp, 25.8241570408380987_dp, 25.6231774046431013_dp, 25.4288020082330988_dp, &
+         & 25.2420393283023010_dp, 25.0637665091809012_dp, 24.8947235089323016_dp, 24.7355098386446990_dp, &
+         & 24.5865836703112990_dp, 24.4482631027377018_dp, 24.3207293924774000_dp, 24.2040319734961002_dp, &
+         & 24.0980951028535983_dp, 24.0027259792890995_dp, 23.9176241869620014_dp, 23.8423923175957988_dp, &
+         & 23.7765476207022992_dp, 23.7195345231634995_dp, 23.6707378461659985_dp, 23.6294965296396988_dp, &
+         & 23.5951176528878008_dp, 23.5668905166069003_dp, 23.5441005282165996_dp, 23.5260426120431987_dp, &
+         & 23.5120338513490985_dp, 23.5014250633226993_dp, 23.4936110133753999_dp, 23.4880389932238991_dp, &
+         & 23.4842155190954998_dp, 23.4817109517787017_dp, 23.4801618978209987_dp, 23.4792713186080988_dp, &
+         & 23.4788063481632996_dp, 23.4785938975375004_dp, 23.4785141996836018_dp, 23.4784925199077001_dp, &
+         & 23.4784893200172000_dp, 23.4784890732107989_dp, 23.4784846413608008_dp, 23.4784546149188991_dp, &
+         & 23.4783442344498994_dp, 23.4780499999379018_dp, 23.4774060713128989_dp, 23.4761728571960013_dp, &
+         & 23.4740282444177986_dp, 23.4705618643243987_dp, 23.4652727264357992_dp, 23.4575704745140996_dp, &
+         & 23.4467804328509004_dp, 23.4321525098419983_dp, 23.4128739104622987_dp, 23.3880854791045998_dp, &
+         & 23.3569013512537005_dp, 23.3184314409186015_dp, 23.2718061375643011_dp, 23.2162024409903012_dp, &
+         & 23.1508706367354016_dp, 23.0751605206311012_dp, 22.9885461310499011_dp, 22.8906479508484999_dp, &
+         & 22.7812516035942991_dp, 22.6603221905685999_dp, 22.5280135904360002_dp, 22.3846722609665001_dp, &
+         & 22.2308353264155016_dp, 22.0672229881086004_dp, 21.8947255434383017_dp, 21.7143855268638006_dp, &
+         & 21.5273756862283001_dp, 21.3349736721011993_dp, 21.1385344407648006_dp, 20.9394614454644987_dp, &
+         & 20.7391777065897998_dp, 20.5390978014698007_dp, 20.3406016958339002_dp, 20.1450111591891989_dp, &
+         & 19.9535692847566004_dp, 19.7674233996608990_dp, 19.5876114335327998_dp, 19.4150516384953988_dp, &
+         & 19.2505354339061014_dp, 19.0947230852968985_dp, 18.9481419085760017_dp, 18.8111867026944992_dp, &
+         & 18.6841221418783014_dp, 18.5670868910007982_dp, 18.4600992381114999_dp, 18.3630640637279008_dp, &
+         & 18.2757809867425003_dp, 18.1979535420215015_dp, 18.1291992552142993_dp, 18.0690604857695014_dp, &
+         & 18.0170159091549991_dp, 17.9724925033228011_dp, 17.9348778924778998_dp, 17.9035328838122005_dp, &
+         & 17.8778040114844003_dp, 17.8570358789813994_dp, 17.8405830689112008_dp, 17.8278213713891986_dp, &
+         & 17.8181580716421983_dp, 17.8110410370148990_dp, 17.8059663553184002_dp, 17.8024843015260998_dp, &
+         & 17.8002034482334004_dp, 17.7987927859214992_dp, 17.7979817797099003_dp, 17.7975583568935001_dp, &
+         & 17.7973648904873016_dp, 17.7972923143933990_dp, 17.7972725719205016_dp, 17.7972696579723006_dp, &
+         & 17.7972694373370004_dp, 17.7972655288034005_dp, 17.7972390479109990_dp, 17.7971417013149988_dp, &
+         & 17.7968822107667002_dp, 17.7963143207078005_dp, 17.7952267381702995_dp, 17.7933354069403009_dp, &
+         & 17.7902784697200005_dp, 17.7856142160743005_dp, 17.7788222489764003_dp, 17.7693080269278987_dp, &
+         & 17.7564108500166995_dp, 17.7394152555018998_dp, 17.7175656713714993_dp, 17.6900840463623013_dp, &
+         & 17.6561900360326014_dp, 17.6151231830146990_dp, 17.5661663943823996_dp, 17.5086699009048985_dp, &
+         & 17.4420747935222984_dp, 17.3659351829338995_dp, 17.2799380279595987_dp, 17.1839197328668014_dp, &
+         & 17.0778787237957985_dp, 16.9619833749197007_dp, 16.8365748560526001_dp, 16.7021647012464989_dp, &
+         & 16.5594271367862014_dp, 16.4091864415159989_dp, 16.2523998292497005_dp, 16.0901365316253013_dp, &
+         & 15.9235539123459002_dp, 15.7538715542921004_dp, 15.5823443244625999_dp, 15.4102354338854006_dp, &
+         & 15.2387904678826995_dp, 15.0692132668118006_dp, 14.9026443936811006_dp, 14.7401427432792005_dp, &
+         & 14.5826706429183997_dp, 14.4310825858593006_dp, 14.2861175434932992_dp, 14.1483946373985994_dp, &
+         & 14.0184118285898993_dp, 13.8965472038129008_dp, 13.7830624067567999_dp, 13.6781077698258997_dp, &
+         & 13.5817287405774003_dp, 13.4938732555790004_dp, 13.4143997828569006_dp, 13.3430858231916005_dp, &
+         & 13.2796367231266004_dp, 13.2236947037608008_dp, 13.1748480463672006_dp, 13.1326403976093999_dp, &
+         & 13.0965801640930000_dp, 13.0661499597597004_dp, 13.0408160526336996_dp, 13.0200377326601000_dp, &
+         & 13.0032764932281992_dp, 12.9900048890508000_dp, 12.9797149059758006_dp, 12.9719256574349000_dp, &
+         & 12.9661902105174995_dp, 12.9621013443397999_dp, 12.9592960557762993_dp, 12.9574586529979001_dp, &
+         & 12.9563223147473998_dp, 12.9556690409680009_dp, 12.9553279754664992_dp, 12.9551721403437003_dp, &
+         & 12.9551136812935006_dp, 12.9550977790224007_dp, 12.9550954318807996_dp, 12.9550952556800993_dp, &
+         & 12.9550921543489004_dp, 12.9550711423802003_dp, 12.9549939002590992_dp, 12.9547880018828998_dp, &
+         & 12.9543374021739996_dp, 12.9534744645848008_dp, 12.9519738550688999_dp, 12.9495485951959992_dp, &
+         & 12.9458485273512007_dp, 12.9404613974776002_dp, 12.9329167030423005_dp, 12.9226923831509009_dp, &
+         & 12.9092243418478994_dp, 12.8919186936140999_dp, 12.8701665028284999_dp, 12.8433606597722001_dp, &
+         & 12.8109144006884996_dp, 12.7722808472195997_dp, 12.7269728223169007_dp, 12.6745821080052004_dp, &
+         & 12.6147972579433993_dp, 12.5474190759525008_dp, 12.4723729289177996_dp, 12.3897171822990000_dp, &
+         & 12.2996472264262007_dp, 12.2024947925552993_dp, 12.0987225232825004_dp, 11.9889140407652999_dp, &
+         & 11.8737600230693996_dp, 11.7540410281647993_dp, 11.6306079738427002_dp, 11.5043612737261007_dp, &
+         & 11.3762296372986995_dp, 11.2471494685941007_dp, 11.1180456570511002_dp, 10.9898143660140004_dp, &
+         & 10.8633082146884998_dp, 10.7393240432982999_dp, 10.6185932700643004_dp, 10.5017747070507994_dp, &
+         & 10.3894496064822004_dp, 10.2821186588671001_dp, 10.1802006523742996_dp, 10.0840325192358993_dp, &
+         & 9.9938705285001301_dp, 9.9098924254183895_dp, 9.8322003587172695_dp, 9.7608244733630993_dp, &
+         & 9.6957270760316394_dp, 9.6368073029884904_dp, 9.5839062360719200_dp, 9.5368124228459799_dp, &
+         & 9.4952677625098598_dp, 9.4589737202498192_dp, 9.4275978295843093_dp, 9.4007804349729494_dp, &
+         & 9.3781416157588104_dp, 9.3592882179178396_dp, 9.3438209030422001_dp, 9.3313411058568700_dp, &
+         & 9.3214577740980396_dp, 9.3137937497157104_dp, 9.3079916400892202_dp, 9.3037190240578802_dp, &
+         & 9.3006728414784003_dp, 9.2985828275541405_dp, 9.2972138744764301_dp, 9.2963672323523898_dp, &
+         & 9.2958804976346396_dp, 9.2956263783717095_dp, 9.2955102692100606_dp, 9.2954667126595698_dp, &
+         & 9.2954548642221706_dp, 9.2954531154176596_dp, 9.2954529845335703_dp, 9.2954506861433295_dp, &
+         & 9.2954351142136709_dp, 9.2953778701892507_dp, 9.2952252789153906_dp, 9.2948913380558107_dp, &
+         & 9.2942518067660700_dp, 9.2931396734000398_dp, 9.2913422156017198_dp, 9.2885998352626693_dp, &
+         & 9.2846068143085496_dp, 9.2790140934841698_dp, 9.2714341235279694_dp, 9.2614477750040294_dp, &
+         & 9.2486132190998003_dp, 9.2324766077637701_dp, 9.2125842902920692_dp, 9.1884962095301201_dp, &
+         & 9.1598000308493308_dp, 9.1261254791490494_dp, 9.0871583022041200_dp, 9.0426532511698792_dp, &
+         & 8.9924454775823293_dp, 8.9364597941909203_dp, 8.8747173336823106_dp, 8.8073392594742295_dp, &
+         & 8.7345473268553295_dp, 8.6566612486281809_dp, 8.5740929741118403_dp, 8.4873381323207404_dp, &
+         & 8.3969650109902503_dp, 8.3036015385066495_dp, 8.2079208048872196_dp, 8.1106257018236700_dp, &
+         & 8.0124332813175307_dp, 7.9140594266040702_dp, 7.8162043948201996_dp, 7.7195397247081097_dp, &
+         & 7.6246969035785304_dp, 7.5322580603085196_dp, 7.4427488066954997_dp, 7.3566332049161796_dp, &
+         & 7.2743107126950504_dp, 7.1961148654068099_dp, 7.1223134039179401_dp, 7.0531095480910500_dp, &
+         & 6.9886441407525099_dp, 6.9289984335490704_dp, 6.8741973418340301_dp, 6.8242130499960201_dp, &
+         & 6.7789688944809203_dp, 6.7383434857767703_dp, 6.7021750522995402_dp, 6.6702659996630400_dp, &
+         & 6.6423876802635098_dp, 6.6182853625969802_dp, 6.5976833791755096_dp, 6.5802904179235897_dp, &
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+         & 0.0754629239928093_dp, 0.0754602688859833_dp, 0.0754592728729833_dp, 0.0754590019319465_dp, &
+         & 0.0754589619425303_dp, 0.0754589587972418_dp, 0.0754589014714782_dp, 0.0754585131040812_dp, &
+         & 0.0754570854289938_dp, 0.0754532798263057_dp, 0.0754449516515194_dp, 0.0754290033099139_dp, &
+         & 0.0754012724799296_dp, 0.0753564614098963_dp, 0.0752881127021183_dp, 0.0751886363099672_dp, &
+         & 0.0750493915157762_dp, 0.0748608263207586_dp, 0.0746126749576135_dp, 0.0742942118963086_dp, &
+         & 0.0738945580578019_dp, 0.0734030317318926_dp, 0.0728095333216530_dp, 0.0721049496447534_dp, &
+         & 0.0712815604613013_dp, 0.0703334275164309_dp, 0.0692567450003381_dp, 0.0680501304561290_dp, &
+         & 0.0667148365851773_dp, 0.0652548678171740_dp, 0.0636769902713539_dp, 0.0619906296855817_dp, &
+         & 0.0602076590919793_dp, 0.0583420847332050_dp, 0.0564096456258838_dp, 0.0544273476745119_dp, &
+         & 0.0524129570616836_dp, 0.0503844801578737_dp, 0.0483596567701881_dp, 0.0463399980152204_dp, &
+         & 0.0443744964711215_dp, 0.0424596336107470_dp, 0.0406080958764576_dp, 0.0388306883919398_dp, &
+         & 0.0371362574777265_dp, 0.0355316908015766_dp, 0.0340219839523570_dp, 0.0326103599444210_dp, &
+         & 0.0312984272521248_dp, 0.0300863622753624_dp, 0.0289731033967797_dp, 0.0279565457127973_dp, &
+         & 0.0270337278083730_dp, 0.0262010043390646_dp, 0.0254542004732272_dp, 0.0247887462872356_dp, &
+         & 0.0241997909082130_dp, 0.0236822975246724_dp, 0.0232311213342342_dp, 0.0228410730926640_dp, &
+         & 0.0225069712077115_dp, 0.0222236853289601_dp, 0.0219861741672815_dp, 0.0217895198802083_dp, &
+         & 0.0216289608299078_dp, 0.0214999239024891_dp, 0.0213980569202832_dp, 0.0213192610286725_dp, &
+         & 0.0212597223452349_dp, 0.0212159416641100_dp, 0.0211847606532913_dp, 0.0211633827922171_dp, &
+         & 0.0211493872885171_dp, 0.0211407343821648_dp, 0.0211357607750173_dp, 0.0211331643808208_dp, &
+         & 0.0211319781301000_dp, 0.0211315331367388_dp, 0.0211314120887209_dp, 0.0211313942223157_dp, &
+         & 0.0211313928038734_dp, 0.0211313668089161_dp, 0.0211311906898288_dp, 0.0211305432657198_dp, &
+         & 0.0211288175346382_dp, 0.0211250411384256_dp, 0.0211178101296028_dp, 0.0211052392298825_dp, &
+         & 0.0210849317436725_dp, 0.0210539722293603_dp, 0.0210089448648887_dp, 0.0209459800831482_dp, &
+         & 0.0208608313991405_dp, 0.0207489833208996_dp, 0.0206057897726524_dp, 0.0204266405591440_dp, &
+         & 0.0202071511289716_dp, 0.0199433683998862_dp, 0.0196319829204370_dp, 0.0192705354592277_dp, &
+         & 0.0188576045755227_dp, 0.0183929611640394_dp, 0.0178776766539315_dp, 0.0173141736240865_dp, &
+         & 0.0167062110521456_dp, 0.0160588010197031_dp, 0.0153780590372605_dp, 0.0146709956578519_dp, &
+         & 0.0139452620720633_dp, 0.0132088662920111_dp, 0.0124698788388855_dp, 0.0117361472593274_dp, &
+         & 0.0110150372904130_dp, 0.0103132153157617_dp, 0.0096364823690820_dp, 0.0089896649442664_dp, &
+         & 0.0083765628877401_dp, 0.0077999502395869_dp, 0.0072616214705548_dp, 0.0067624733624498_dp, &
+         & 0.0063026118370644_dp, 0.0058814732206898_dp, 0.0054979504899464_dp, 0.0051505166756698_dp, &
+         & 0.0048373395054497_dp, 0.0045563832892626_dp, 0.0043054958099020_dp, 0.0040824794588161_dp, &
+         & 0.0038851470056684_dp, 0.0037113632035215_dp, 0.0035590739423981_dp, 0.0034263249222519_dp, &
+         & 0.0033112718798023_dp, 0.0032121843303727_dp, 0.0031274446237646_dp, 0.0030555439005298_dp, &
+         & 0.0029950762979780_dp, 0.0029447325111462_dp, 0.0029032935711371_dp, 0.0028696254676106_dp, &
+         & 0.0028426750162822_dp, 0.0028214671586682_dp, 0.0028051036843522_dp, 0.0027927631905129_dp, &
+         & 0.0027837019470667_dp, 0.0027772552253893_dp, 0.0027728385811443_dp, 0.0027699485618342_dp, &
+         & 0.0027681623380928_dp, 0.0027671358307657_dp, 0.0027666000156969_dp, 0.0027663552234429_dp, &
+         & 0.0027662633976391_dp, 0.0027662384191984_dp, 0.0027662347324480_dp, 0.0027662344370611_dp, &
+         & 0.0027662289901400_dp, 0.0027661920866180_dp, 0.0027660564287828_dp, 0.0027656948407255_dp, &
+         & 0.0027649036457476_dp, 0.0027633889170460_dp, 0.0027607563688150_dp, 0.0027565057042054_dp, &
+         & 0.0027500302812911_dp, 0.0027406229671314_dp, 0.0027274889888957_dp, 0.0027097664178726_dp, &
+         & 0.0026865546023842_dp, 0.0026569503751048_dp, 0.0026200911990131_dp, 0.0025752036158764_dp, &
+         & 0.0025216544914173_dp, 0.0024590017202755_dp, 0.0023870403999311_dp, 0.0023058401537526_dp, &
+         & 0.0022157694120537_dp, 0.0021175031298455_dp, 0.0020120116379516_dp, 0.0019005299969379_dp, &
+         & 0.0017845091669457_dp, 0.0016655522544440_dp, 0.0015453407586534_dp, 0.0014255568466126_dp, &
+         & 0.0013078080505835_dp, 0.0011935603490798_dp, 0.0010840844447699_dp, 0.0009804183957982_dp, &
+         & 0.0008837035954272_dp, 0.0007934034645132_dp, 0.0007108729793117_dp, 0.0006361028237905_dp, &
+         & 0.0005685153948392_dp, 0.0005078928373905_dp, 0.0004538789310260_dp, 0.0004063305414519_dp, &
+         & 0.0003645937489409_dp, 0.0003279934483658_dp, 0.0002960257837969_dp, 0.0002682172054520_dp, &
+         & 0.0002441786493677_dp, 0.0002235462434896_dp, 0.0002057991406943_dp, 0.0001905252921119_dp, &
+         & 0.0001773963640943_dp, 0.0001661387206084_dp, 0.0001565224374147_dp, 0.0001483494749479_dp, &
+         & 0.0001414416756305_dp, 0.0001356344470409_dp, 0.0001307795281704_dp, 0.0001267485901835_dp, &
+         & 0.0001234310682889_dp, 0.0001207291237506_dp, 0.0001185541611477_dp, 0.0001168261536293_dp, &
+         & 0.0001154738908866_dp, 0.0001144345542912_dp, 0.0001136527662666_dp, 0.0001130796879494_dp, &
+         & 0.0001126724025511_dp, 0.0001123935602863_dp, 0.0001122111770968_dp, 0.0001120984807201_dp, &
+         & 0.0001120337258556_dp, 0.0001119999278814_dp, 0.0001119844875603_dp, 0.0001119786957275_dp, &
+         & 0.0001119771202482_dp, 0.0001119768877018_dp, 0.0001119768688369_dp, 0.0001119765178856_dp, &
+         & 0.0001119741401752_dp, 0.0001119654000661_dp, 0.0001119421068552_dp, 0.0001118911539990_dp, &
+         & 0.0001117936639119_dp, 0.0001116244096480_dp, 0.0001113515965230_dp, 0.0001109370881167_dp, &
+         & 0.0001103371349274_dp, 0.0001095035888525_dp, 0.0001083854791730_dp, 0.0001069308133879_dp, &
+         & 1.0508871989145499e-04_dp, 1.0281236580311800e-04_dp, 1.0006296998454900e-04_dp, 9.6814822825308497e-05_dp, &
+         & 9.3060705403047504e-05_dp, 8.8815453551660499e-05_dp, 8.4113351206838201e-05_dp, 7.9000087914948795e-05_dp, &
+         & 7.3530092720375305e-05_dp, 6.7773614816246704e-05_dp, 6.1841756021863094e-05_dp, 5.6027605438657702e-05_dp, &
+         & 5.0336911250781200e-05_dp, 4.4718748888783500e-05_dp, 3.9212623242690397e-05_dp, 3.4400545935397999e-05_dp, &
+         & 2.9907137694351601e-05_dp, 2.5676712134270501e-05_dp, 2.1766812558610100e-05_dp, 1.8692462617764199e-05_dp, &
+         & 1.5771633378847100e-05_dp, 1.3407711904278601e-05_dp, 1.1747137357076599e-05_dp, 1.0304349736145501e-05_dp, &
+         & 8.9830727958428707e-06_dp, 7.7219143221895996e-06_dp, 6.5127117991892200e-06_dp, 5.3902092460589301e-06_dp, &
+         & 4.4079448215939001e-06_dp, 3.6117098787258299e-06_dp, 3.0147532825708401e-06_dp, 2.5812243151790401e-06_dp, &
+         & 2.2464661881826899e-06_dp, 1.9871284564487698e-06_dp, 1.8154302026118800e-06_dp, 1.7004035015588700e-06_dp, &
+         & 1.5753894757608601e-06_dp, 1.4048344567640899e-06_dp, 1.2576565779909301e-06_dp, 1.1306234313224199e-06_dp, &
+         & 9.8561491768123190e-07_dp, 8.4155712443134700e-07_dp, 7.1195428574810596e-07_dp, 6.0154981440518895e-07_dp, &
+         & 5.0944994711699099e-07_dp, 4.3225202972507801e-07_dp, 3.6585716856052402e-07_dp, 3.0671690609551698e-07_dp, &
+         & -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, -2.1316282072802999e-14_dp, -7.1054273576010003e-15_dp, &
+         &  0.0000000000000000e+00_dp, -1.4210854715202001e-14_dp, 0.0000000000000000e+00_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp &
+         &]
+      case (43)
+         out = [&
+         & 43.0000000000000000_dp, 42.9999999627167995_dp, 42.9999988098465025_dp, 42.9999909989683005_dp, &
+         & 42.9999622851668022_dp, 42.9998857432779999_dp, 42.9997182259377979_dp, 42.9993973822612006_dp, &
+         & 42.9988393450103032_dp, 42.9979371737646971_dp, 42.9965601185603035_dp, 42.9945537435712026_dp, &
+         & 42.9917409246276989_dp, 42.9879237087182986_dp, 42.9828859991547034_dp, 42.9763970077021966_dp, &
+         & 42.9682153954599002_dp, 42.9580940080693026_dp, 42.9457850980628990_dp, 42.9310459175635017_dp, &
+         & 42.9136445575147008_dp, 42.8933659042959974_dp, 42.8700175800742969_dp, 42.8434357288157983_dp, &
+         & 42.8134905052249977_dp, 42.7800911192868014_dp, 42.7431902855442019_dp, 42.7027879254049978_dp, &
+         & 42.6589339746919975_dp, 42.6117301594580979_dp, 42.5613306225298018_dp, 42.5079413122182999_dp, &
+         & 42.4518180829095968_dp, 42.3932635032354028_dp, 42.3326224184533970_dp, 42.2702763658350023_dp, &
+         & 42.2066369911594990_dp, 42.1421386568881005_dp, 42.0772304649835007_dp, 42.0123679374768031_dp, &
+         & 41.9480046049123985_dp, 41.8845837471760021_dp, 41.8225305144869992_dp, 41.7622446308682029_dp, &
+         & 41.7040938509195982_dp, 41.6484083059814978_dp, 41.5954758402266975_dp, 41.5455384028366979_dp, &
+         & 41.4987895305550012_dp, 41.4553729263480975_dp, 41.4153821148977030_dp, 41.3788611340729986_dp, &
+         & 41.3458062030161031_dp, 41.3161682915238018_dp, 41.2898565015595977_dp, 41.2667421595715993_dp, &
+         & 41.2466635076025980_dp, 41.2294308718628031_dp, 41.2148321796101982_dp, 41.2026386890722023_dp, &
+         & 41.1926107931097008_dp, 41.1845037557721980_dp, 41.1780732422348024_dp, 41.1730805072060022_dp, &
+         & 41.1692971149980025_dp, 41.1665090761765029_dp, 41.1645203009788005_dp, 41.1631552882610023_dp, &
+         & 41.1622609901536975_dp, 41.1617078162761985_dp, 41.1613897665232997_dp, 41.1612237072721001_dp, &
+         & 41.1611478314609016_dp, 41.1611193675062026_dp, 41.1611116245903972_dp, 41.1611104817511020_dp, &
+         & 41.1611103318346991_dp, 41.1611068389619987_dp, 41.1610831742168983_dp, 41.1609961798288992_dp, &
+         & 41.1607642825661983_dp, 41.1602567700984991_dp, 41.1592847809388971_dp, 41.1575943520286032_dp, &
+         & 41.1548618163415014_dp, 41.1506917839149011_dp, 41.1446178742242026_dp, 41.1361062966416000_dp, &
+         & 41.1245622997708011_dp, 41.1093394308670028_dp, 41.0897514645917994_dp, 41.0650867773087001_dp, &
+         & 41.0346248601145973_dp, 40.9976545816597024_dp, 40.9534937311394032_dp, 40.9015092934699993_dp, &
+         & 40.8411378343963989_dp, 40.7719053069420028_dp, 40.6934455389657970_dp, 40.6055166345882981_dp, &
+         & 40.5080145322097991_dp, 40.4009830211886012_dp, 40.2846196370623986_dp, 40.1592770334365028_dp, &
+         & 40.0254596591036034_dp, 39.8838158323437000_dp, 39.7351255723218983_dp, 39.5802847875230981_dp, &
+         & 39.4202866030644969_dp, 39.2562007113829026_dp, 39.0891516467000031_dp, 38.9202968202546984_dp, &
+         & 38.7508050305152025_dp, 38.5818360076262010_dp, 38.4145213921286981_dp, 38.2499474072532024_dp, &
+         & 38.0891393756375010_dp, 37.9330481590339019_dp, 37.7825385589629974_dp, 37.6383796977255969_dp, &
+         & 37.5012373916556996_dp, 37.3716685225804000_dp, 37.2501174031861026_dp, 37.1369141152257001_dp, &
+         & 37.0322747771368981_dp, 36.9363036722462965_dp, 36.8489971432038033_dp, 36.7702491347771030_dp, &
+         & 36.6998582466582022_dp, 36.6375361403428030_dp, 36.5829171285868000_dp, 36.5355687612592988_dp, &
+         & 36.4950032066847001_dp, 36.4606892123513973_dp, 36.4320644134106999_dp, 36.4085477425562019_dp, &
+         & 36.3895516820997997_dp, 36.3744940900866993_dp, 36.3628093290030989_dp, 36.3539584297934013_dp, &
+         & 36.3474380369393018_dp, 36.3427879031713985_dp, 36.3395967352468006_dp, 36.3375062346347022_dp, &
+         & 36.3362132277214016_dp, 36.3354698373827034_dp, 36.3350817090959026_dp, 36.3349043674420997_dp, &
+         & 36.3348378400390999_dp, 36.3348197429321971_dp, 36.3348170718357011_dp, 36.3348168360287005_dp, &
+         & 36.3348122155068012_dp, 36.3347809107810988_dp, 36.3346658311432975_dp, 36.3343590698934022_dp, &
+         & 36.3336877243767020_dp, 36.3324019943127965_dp, 36.3301660266968014_dp, 36.3265519145861973_dp, &
+         & 36.3210371866859987_dp, 36.3130060440389997_dp, 36.3017545080506991_dp, 36.2864995392423992_dp, &
+         & 36.2663920677562004_dp, 36.2405337450843987_dp, 36.2079970838436012_dp, 36.1678485028895977_dp, &
+         & 36.1191736453039027_dp, 36.0611041955746998_dp, 35.9928453000713020_dp, 35.9137026025900994_dp, &
+         & 35.8231078544498018_dp, 35.7206420541742986_dp, 35.6060551197945969_dp, 35.4792811981441005_dp, &
+         & 35.3404488680927997_dp, 35.1898856944535012_dp, 35.0281168313850984_dp, 34.8558576522912986_dp, &
+         & 34.6740006872981965_dp, 34.4835974610050968_dp, 34.2858361121918023_dp, 34.0820159029956002_dp, &
+         & 33.8735198457469977_dp, 33.6617866632609974_dp, 33.4482831542293013_dp, 33.2344777954683011_dp, &
+         & 33.0218161380022011_dp, 32.8116983081911968_dp, 32.6054587523812032_dp, 32.4043482757665018_dp, &
+         & 32.2095184060313002_dp, 32.0220081271808965_dp, 31.8427330467370986_dp, 31.6724770594377993_dp, &
+         & 31.5118865463728000_dp, 31.3614671049451985_dp, 31.2215827525194989_dp, 31.0924574957216997_dp, &
+         & 30.9741791156702995_dp, 30.8667049903402990_dp, 30.7698697584445995_dp, 30.6833946217515994_dp, &
+         & 30.6068980806057986_dp, 30.5399078964956985_dp, 30.4818740725656987_dp, 30.4321826359233008_dp, &
+         & 30.3901699937356007_dp, 30.3551376189947995_dp, 30.3263668030768017_dp, 30.3031331932410986_dp, &
+         & 30.2847208169166002_dp, 30.2704352840411985_dp, 30.2596158567491003_dp, 30.2516460847262003_dp, &
+         & 30.2459627262496014_dp, 30.2420627099971000_dp, 30.2395079408306984_dp, 30.2379278125283015_dp, &
+         & 30.2370193594904002_dp, 30.2365450546405015_dp, 30.2363283384410018_dp, 30.2362470403250008_dp, &
+         & 30.2362249252296991_dp, 30.2362216610865993_dp, 30.2362213992619004_dp, 30.2362165672689009_dp, &
+         & 30.2361838297961008_dp, 30.2360634832508985_dp, 30.2357426825311002_dp, 30.2350406128479996_dp, &
+         & 30.2336960456652015_dp, 30.2313577702493994_dp, 30.2275783296059011_dp, 30.2218114170748997_dp, &
+         & 30.2134132066181991_dp, 30.2016477942942991_dp, 30.1856968190436987_dp, 30.1646732066738004_dp, &
+         & 30.1376388420668988_dp, 30.1036258231618987_dp, 30.0616607905717999_dp, 30.0107916656831009_dp, &
+         & 29.9501159770832004_dp, 29.8788098213561994_dp, 29.7961564017702010_dp, 29.7015730288295003_dp, &
+         & 29.5946354599365016_dp, 29.4750985081711008_dp, 29.3429119649848005_dp, 29.1982310562465983_dp, &
+         & 29.0414208787516017_dp, 28.8730545337364006_dp, 28.6939049699976003_dp, 28.5049308532883003_dp, &
+         & 28.3072570695942005_dp, 28.1021507251014988_dp, 27.8909937034188005_dp, 27.6752529628920989_dp, &
+         & 27.4564497927398001_dp, 27.2361291951270985_dp, 27.0158304310741002_dp, 26.7970595809433014_dp, &
+         & 26.5812647512765992_dp, 26.3698143365907995_dp, 26.1639785415482002_dp, 25.9649142025471988_dp, &
+         & 25.7736528260314017_dp, 25.5910916829923991_dp, 25.4179877582708009_dp, 25.2549543392274991_dp, &
+         & 25.1024600308013000_dp, 24.9608299943658984_dp, 24.8302492203652001_dp, 24.7107676562883007_dp, &
+         & 24.6023070208836003_dp, 24.5046691423048983_dp, 24.4175456620170017_dp, 24.3405289474166011_dp, &
+         & 24.2731240536128006_dp, 24.2147615679334010_dp, 24.1648111589648984_dp, 24.1225956353378983_dp, &
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+         & -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, &
+         & -2.1316282072802999e-14_dp &
+         &]
+      case (44)
+         out = [&
+         & 44.0000000000000000_dp, 43.9999999614637005_dp, 43.9999987698448010_dp, 43.9999906964385019_dp, &
+         & 43.9999610175493032_dp, 43.9998819030394017_dp, 43.9997087553200998_dp, 43.9993771277937995_dp, &
+         & 43.9988003342087026_dp, 43.9978678393396976_dp, 43.9964444975791977_dp, 43.9943706802839998_dp, &
+         & 43.9914633060728022_dp, 43.9875177617931996_dp, 43.9823106766146026_dp, 43.9756034886578036_dp, &
+         & 43.9671467234880993_dp, 43.9566848871725995_dp, 43.9439618635268019_dp, 43.9287266953615969_dp, &
+         & 43.9107396223233977_dp, 43.8897782423900011_dp, 43.8656436592837977_dp, 43.8381664732175977_dp, &
+         & 43.8072124671817988_dp, 43.7726878357540983_dp, 43.7345437992492023_dp, 43.6927804447163979_dp, &
+         & 43.6474496390517004_dp, 43.5986568706128992_dp, 43.5465618960511023_dp, 43.4913780995630006_dp, &
+         & 43.4333705121050997_dp, 43.3728524865996974_dp, 43.3101810787757984_dp, 43.2457512380764015_dp, &
+         & 43.1799889646433996_dp, 43.1133436325848010_dp, 43.0462797131232975_dp, 42.9792681515973030_dp, &
+         & 42.9127776588248011_dp, 42.8472661706140983_dp, 42.7831727109561015_dp, 42.7209098671979035_dp, &
+         & 42.6608570522003987_dp, 42.6033546920373993_dp, 42.5486994407622987_dp, 42.4971404881753969_dp, &
+         & 42.4488769937449035_dp, 42.4040566506231968_dp, 42.3627753582681024_dp, 42.3250779603422984_dp, &
+         & 42.2909599858901970_dp, 42.2603703157493982_dp, 42.2332146822061034_dp, 42.2093598976572011_dp, &
+         & 42.1886386972145004_dp, 42.1708550707215011_dp, 42.1557899516416015_dp, 42.1432071239889012_dp, &
+         & 42.1328592042678025_dp, 42.1244935537101028_dp, 42.1178579773796997_dp, 42.1127060713357011_dp, &
+         & 42.1088020872850990_dp, 42.1059251961325032_dp, 42.1038730474877028_dp, 42.1024645412683967_dp, &
+         & 42.1015417495749986_dp, 42.1009709514002992_dp, 42.1006427686861997_dp, 42.1004714189010016_dp, &
+         & 42.1003931257521984_dp, 42.1003637549627996_dp, 42.1003557653651015_dp, 42.1003545861160973_dp, &
+         & 42.1003544314234972_dp, 42.1003508272713987_dp, 42.1003264085911013_dp, 42.1002366426560997_dp, &
+         & 42.0999973574526010_dp, 42.0994736765859017_dp, 42.0984707227357973_dp, 42.0967264451180014_dp, &
+         & 42.0939068733262971_dp, 42.0896040393391999_dp, 42.0833367421357991_dp, 42.0745542560508028_dp, &
+         & 42.0626430056069012_dp, 42.0469361471882976_dp, 42.0267259128145980_dp, 42.0012784847445033_dp, &
+         & 41.9698510828392983_dp, 41.9317108604384003_dp, 41.8861551196891000_dp, 41.8325322748258017_dp, &
+         & 41.7702629139265014_dp, 41.6988602404508981_dp, 41.6179491227255980_dp, 41.5272829531182026_dp, &
+         & 41.4267575318894998_dp, 41.3164212564432987_dp, 41.1964810239390999_dp, 41.0673034452454999_dp, &
+         & 40.9294112114010034_dp, 40.7834747289862989_dp, 40.6302994177530010_dp, 40.4708093083058031_dp, &
+         & 40.3060277586439994_dp, 40.1370562050962008_dp, 39.9650518695491996_dp, 39.7912052704857970_dp, &
+         & 39.6167182525609007_dp, 39.4427830874570020_dp, 39.2705630366020984_dp, 39.1011746267677012_dp, &
+         & 38.9356717854375987_dp, 38.7750319163744024_dp, 38.6201439607720971_dp, 38.4717984746773993_dp, &
+         & 38.3306797471428027_dp, 38.1973599763681975_dp, 38.0722955075125995_dp, 37.9558251147109971_dp, &
+         & 37.8481702830201030_dp, 37.7494374169192994_dp, 37.6596218739447011_dp, 37.5786136972905993_dp, &
+         & 37.5062049005583020_dp, 37.4420981407974978_dp, 37.3859166012772022_dp, 37.3372148916053987_dp, &
+         & 37.2954907587164968_dp, 37.2601973873543031_dp, 37.2307560532170996_dp, 37.2065688768521028_dp, &
+         & 37.1870314132056023_dp, 37.1715448023324981_dp, 37.1595272031307999_dp, 37.1504242359559029_dp, &
+         & 37.1437181730942996_dp, 37.1389356392929031_dp, 37.1356536181255024_dp, 37.1335036034529011_dp, &
+         & 37.1321737873416993_dp, 37.1314092346416018_dp, 37.1310100574839979_dp, 37.1308276674616025_dp, &
+         & 37.1307592462335023_dp, 37.1307406339594976_dp, 37.1307378868254006_dp, 37.1307376443056967_dp, &
+         & 37.1307328922522970_dp, 37.1307006963810977_dp, 37.1305823407984974_dp, 37.1302668470830000_dp, &
+         & 37.1295763907830008_dp, 37.1282540612981009_dp, 37.1259544470303027_dp, 37.1222374651430016_dp, &
+         & 37.1165657830335007_dp, 37.1083060958833002_dp, 37.0967344300598967_dp, 37.0810455343557024_dp, &
+         & 37.0603662992201990_dp, 37.0337730086122008_dp, 37.0003120819784002_dp, 36.9590238094686967_dp, &
+         & 36.9089684286223019_dp, 36.8492537444049972_dp, 36.7790633673481011_dp, 36.6976845478608027_dp, &
+         & 36.6045345290779025_dp, 36.4991843342058999_dp, 36.3813789525234981_dp, 36.2510529928497007_dp, &
+         & 36.1083410334230024_dp, 35.9535821097575976_dp, 35.7873180425330020_dp, 35.6102856083681019_dp, &
+         & 35.4234028835535995_dp, 35.2277504199716986_dp, 35.0245482064423967_dp, 34.8151295822381002_dp, &
+         & 34.6009133612244000_dp, 34.3833753749165965_dp, 34.1640204648816024_dp, 33.9443556978911971_dp, &
+         & 33.7258653080502029_dp, 33.5099876494712987_dp, 33.2980943044156987_dp, 33.0914714345382990_dp, &
+         & 32.8913034605905992_dp, 32.6986591730699985_dp, 32.5144803835101968_dp, 32.3395732083620970_dp, &
+         & 32.1746020342655967_dp, 32.0200861540817030_dp, 31.8763989998254011_dp, 31.7437698424472003_dp, &
+         & 31.6222877858906983_dp, 31.5119078559470012_dp, 31.4124589713382001_dp, 31.3236535811341987_dp, &
+         & 31.2450987542032017_dp, 31.1763085084214993_dp, 31.1167171664028004_dp, 31.0656935185160989_dp, &
+         & 31.0225555623784999_dp, 30.9865855715661986_dp, 30.9570452268168985_dp, 30.9331905230992987_dp, &
+         & 30.9142861486761014_dp, 30.8996190208842982_dp, 30.8885106608051991_dp, 30.8803280977918995_dp, &
+         & 30.8744930166883016_dp, 30.8704888962664015_dp, 30.8678659365828985_dp, 30.8662436341798987_dp, &
+         & 30.8653109348897985_dp, 30.8648239712147010_dp, 30.8646014710714987_dp, 30.8645180031949984_dp, &
+         & 30.8644952978718017_dp, 30.8644919466124001_dp, 30.8644916777999008_dp, 30.8644867168462014_dp, &
+         & 30.8644531056466001_dp, 30.8643295471907990_dp, 30.8640001847088996_dp, 30.8632793778828010_dp, &
+         & 30.8618989270735007_dp, 30.8594982504949016_dp, 30.8556179550396017_dp, 30.8496971672309996_dp, &
+         & 30.8410749054837012_dp, 30.8289956768866986_dp, 30.8126193694479014_dp, 30.7910353830604997_dp, &
+         & 30.7632807995715005_dp, 30.7283622363025017_dp, 30.6852808626783009_dp, 30.6330598933311009_dp, &
+         & 30.5707737127735015_dp, 30.4975776480049987_dp, 30.4127372987687004_dp, 30.3156562728031993_dp, &
+         & 30.2059011657669991_dp, 30.0832226798091007_dp, 29.9475718940521993_dp, 29.7991108826733999_dp, &
+         & 29.6382171148819005_dp, 29.4654813540036997_dp, 29.2816990836484017_dp, 29.0878558070998992_dp, &
+         & 28.8851068682973988_dp, 28.6747527044569992_dp, 28.4582106384534015_dp, 28.2369844353272015_dp, &
+         & 28.0126328719329010_dp, 27.7867385030203984_dp, 27.5608776637801007_dp, 27.3365925506417007_dp, &
+         & 27.1153659970226997_dp, 26.8985993371313015_dp, 26.6875935522448984_dp, 26.4835337351196003_dp, &
+         & 26.2874767947170014_dp, 26.1003422522982014_dp, 25.9229059425909014_dp, 25.7557964195152991_dp, &
+         & 25.5994938649348995_dp, 25.4543313036956995_dp, 25.3204979344952008_dp, 25.1980443920468993_dp, &
+         & 25.0868897612255992_dp, 24.9868301684835998_dp, 24.8975487795961001_dp, 24.8186270349514011_dp, &
+         & 24.7495569529320996_dp, 24.6897543271281990_dp, 24.6385726332391997_dp, 24.5953174462955992_dp, &
+         & 24.5592611489114994_dp, 24.5296576882590998_dp, 24.5057571157455989_dp, 24.4868196219708985_dp, &
+         & 24.4721287637391001_dp, 24.4610035728718991_dp, 24.4528092410903000_dp, 24.4469660933052992_dp, &
+         & 24.4429565942546994_dp, 24.4403301804047004_dp, 24.4387057690042013_dp, 24.4377718666849013_dp, &
+         & 24.4372842776569996_dp, 24.4370614924098994_dp, 24.4369779176821993_dp, 24.4369551833025014_dp, &
+         & 24.4369518277547009_dp, 24.4369515689425008_dp, 24.4369469215071007_dp, 24.4369154344425006_dp, &
+         & 24.4367996845743995_dp, 24.4364911372502007_dp, 24.4358158855602987_dp, 24.4345226846960983_dp, &
+         & 24.4322737565593009_dp, 24.4286387807643983_dp, 24.4230924198996000_dp, 24.4150156480802991_dp, &
+         & 24.4037010606268012_dp, 24.3883622372451008_dp, 24.3681471100721012_dp, 24.3421551513431993_dp, &
+         & 24.3094580451895013_dp, 24.2691233486091988_dp, 24.2202404851919013_dp, 24.1619482615769989_dp, &
+         & 24.0934629628249013_dp, 24.0141059817686013_dp, 23.9233298813511013_dp, 23.8207417879836001_dp, &
+         & 23.7061230741703994_dp, 23.5794444109142987_dp, 23.4408754499945005_dp, 23.2907886232327996_dp, &
+         & 23.1297568067706010_dp, 22.9585448777297998_dp, 22.7780954727831997_dp, 22.5895095279800984_dp, &
+         & 22.3940224217482999_dp, 22.1929767426520002_dp, 21.9877928434562016_dp, 21.7799384070397011_dp, &
+         & 21.5708982259664985_dp, 21.3621452843823008_dp, 21.1551140408803988_dp, 20.9511765709494995_dp, &
+         & 20.7516219733497991_dp, 20.5576392117597990_dp, 20.3703033772610986_dp, 20.1905652297739984_dp, &
+         & 20.0192438039351011_dp, 19.8570218340171003_dp, 19.7044437471928013_dp, 19.5619159810796006_dp, &
+         & 19.4297093914968997_dp, 19.3079635262870006_dp, 19.1966925507962998_dp, 19.0957926214068010_dp, &
+         & 19.0050505161658982_dp, 18.9241533457546005_dp, 18.8526991822017997_dp, 18.7902084546086989_dp, &
+         & 18.7361359682735014_dp, 18.6898834041482012_dp, 18.6508121485629985_dp, 18.6182562889073999_dp, &
+         & 18.5915355908963988_dp, 18.5699682496844005_dp, 18.5528831836639014_dp, 18.5396316199236004_dp, &
+         & 18.5295977076568015_dp, 18.5222078934804983_dp, 18.5169388030478004_dp, 18.5133233978609013_dp, &
+         & 18.5109552149347003_dp, 18.5094905487869994_dp, 18.5086484978423016_dp, 18.5082088674898984_dp, &
+         & 18.5080079958664996_dp, 18.5079326418427001_dp, 18.5079121437075997_dp, 18.5079091182253990_dp, &
+         & 18.5079088891449999_dp, 18.5079048310087018_dp, 18.5078773365369997_dp, 18.5077762639331986_dp, &
+         & 18.5075068413447994_dp, 18.5069172159133011_dp, 18.5057880100444017_dp, 18.5038243033439009_dp, &
+         & 18.5006504092290989_dp, 18.4958077578407014_dp, 18.4887561300833987_dp, 18.4788784093918004_dp, &
+         & 18.4654889260432995_dp, 18.4478453620026990_dp, 18.4251640620669015_dp, 18.3966384610856011_dp, &
+         & 18.3614601912338991_dp, 18.3188422843260987_dp, 18.2680437411222982_dp, 18.2083946136053996_dp, &
+         & 18.1393206493879013_dp, 18.0603664914277999_dp, 17.9712164207848986_dp, 17.8717116814299004_dp, &
+         & 17.7618635356325001_dp, 17.6418613625464999_dp, 17.5120753227141996_dp, 17.3730533548630994_dp, &
+         & 17.2255125336903987_dp, 17.0703250825057999_dp, 16.9084995870565002_dp, 16.7411581818851012_dp, &
+         & 16.5695106645733006_dp, 16.3948266240059013_dp, 16.2184067362038000_dp, 16.0415543786010986_dp, &
+         & 15.8655486392438991_dp, 15.6916196562811994_dp, 15.5209270275161000_dp, 15.3545417982992998_dp, &
+         & 15.1934322913481008_dp, 15.0384538075837000_dp, 14.8903420234543002_dp, 14.7497097524543008_dp, &
+         & 14.6170466344148000_dp, 14.4927212659696991_dp, 14.3769852834850003_dp, 14.2699789454767991_dp, &
+         & 14.1717378228848006_dp, 14.0822002802659991_dp, 14.0012155082452008_dp, 13.9285519390109993_dp, &
+         & 13.8639059365194992_dp, 13.8069106980713006_dp, 13.7571453328759006_dp, 13.7141440964732997_dp, &
+         & 13.6774057589482005_dp, 13.6464030719779004_dp, 13.6205922776417996_dp, 13.5994225736304006_dp, &
+         & 13.5823454182900996_dp, 13.5688235281726008_dp, 13.5583393937374996_dp, 13.5504031186982008_dp, &
+         & 13.5445593778864009_dp, 13.5403932894943004_dp, 13.5375350113323005_dp, 13.5356628974917008_dp, &
+         & 13.5345050906369000_dp, 13.5338394741285999_dp, 13.5334919644898992_dp, 13.5333331849599006_dp, &
+         & 13.5332736213564999_dp, 13.5332574186196997_dp, 13.5332550271300001_dp, 13.5332548476000998_dp, &
+         & 13.5332516876707007_dp, 13.5332302786904997_dp, 13.5331515771117008_dp, 13.5329417883428995_dp, &
+         & 13.5324826745340996_dp, 13.5316034311523996_dp, 13.5300744648648994_dp, 13.5276033705589001_dp, &
+         & 13.5238333646494997_dp, 13.5183443831959007_dp, 13.5106569941317005_dp, 13.5002392003537004_dp, &
+         & 13.4865161222274992_dp, 13.4688824432475993_dp, 13.4467173820497994_dp, 13.4194018212344002_dp, &
+         & 13.3863370849429000_dp, 13.3469647222147998_dp, 13.3007865336955007_dp, 13.2473839886518991_dp, &
+         & 13.1864361309909004_dp, 13.1177350788500000_dp, 13.0411982905013009_dp, 12.9568769024009995_dp, &
+         & 12.8649596389638994_dp, 12.7657720362165996_dp, 12.6597709939858998_dp, 12.5475349493361001_dp, &
+         & 12.4297502205971995_dp, 12.3071942805479004_dp, 12.1807168581301006_dp, 12.0512198278964995_dp, &
+         & 11.9196368233070995_dp, 11.7869134130923001_dp, 11.6539885276469999_dp, 11.5217776391341999_dp, &
+         & 11.3911580103846006_dp, 11.2629561563551004_dp, 11.1379375238161007_dp, 11.0167982976185996_dp, &
+         & 10.9001591847314998_dp, 10.7885610033298995_dp, 10.6824619032688002_dp, 10.5822360556361996_dp, &
+         & 10.4881736640962995_dp, 10.4004821640307998_dp, 10.3192884850741002_dp, 10.2446422590611004_dp, &
+         & 10.1765198605093001_dp, 10.1148291724285997_dp, 10.0594149775697996_dp, 10.0100648841054998_dp, &
+         & 9.9665157040782404_dp, 9.9284602110248308_dp, 9.8955542081899104_dp, 9.8674238392483300_dp, &
+         & 9.8436730687363596_dp, 9.8238912495590505_dp, 9.8076606809289508_dp, 9.7945640435384593_dp, &
+         & 9.7841915818021601_dp, 9.7761478880088397_dp, 9.7700581325677103_dp, 9.7655735803322408_dp, &
+         & 9.7623762368586906_dp, 9.7601824813638292_dp, 9.7587455652544204_dp, 9.7578568857644807_dp, &
+         & 9.7573459820374104_dp, 9.7570792438813498_dp, 9.7569573689308804_dp, 9.7569116494157697_dp, &
+         & 9.7568992125978493_dp, 9.7568973769495209_dp, 9.7568972395658697_dp, 9.7568948270399591_dp, &
+         & 9.7568784818237297_dp, 9.7568183951067802_dp, 9.7566582261875094_dp, 9.7563077014769704_dp, &
+         & 9.7556364087528795_dp, 9.7544690376877803_dp, 9.7525822895739491_dp, 9.7497036464072195_dp, &
+         & 9.7455121509225400_dp, 9.7396413032386793_dp, 9.7316841248391093_dp, 9.7212003754274097_dp, &
+         & 9.7077258323293893_dp, 9.6907834564592097_dp, 9.6698961759911501_dp, 9.6446009232237699_dp, &
+         & 9.6144634679270400_dp, 9.5790935093653395_dp, 9.5381594274884591_dp, 9.4914020594277808_dp, &
+         & 9.4386468668798997_dp, 9.3798138971117204_dp, 9.3149250158286101_dp, 9.2441080012206100_dp, &
+         & 9.1675972293344508_dp, 9.0857308435598707_dp, 8.9989444763558204_dp, 8.9077617697615796_dp, &
+         & 8.8127821126394892_dp, 8.7146661658306197_dp, 8.6141198686825309_dp, 8.5118776976367094_dp, &
+         & 8.4086859664360905_dp, 8.3052869093957309_dp, 8.2024041746312992_dp, 8.1007301858654497_dp, &
+         & 8.0009156336165201_dp, 7.9035611598808400_dp, 7.8092111341702202_dp, 7.7183493033244899_dp, &
+         & 7.6313960399290197_dp, 7.5487069084415701_dp, 7.4705722994356600_dp, 7.3972179328483598_dp, &
+         & 7.3288060850366596_dp, 7.2654374411201097_dp, 7.2071535084851499_dp, 7.1539395489356696_dp, &
+         & 7.1057279979723802_dp, 7.0624023431786096_dp, 7.0238014325148104_dp, 6.9897241794361298_dp, &
+         & 6.9599346261586597_dp, 6.9341673193922500_dp, 6.9121329443463599_dp, 6.8935241526718096_dp, &
+         & 6.8780215083238998_dp, 6.8652994625715804_dp, 6.8550322563843196_dp, 6.8468996363810701_dp, &
+         & 6.8405922608236303_dp, 6.8358166662181397_dp, 6.8322996642723499_dp, 6.8297920442573901_dp, &
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+         & 0.1287726125449780_dp, 0.1287726074100770_dp, 0.1287725138788930_dp, 0.1287718801924240_dp, &
+         & 0.1287695507090090_dp, 0.1287633412774620_dp, 0.1287497526768680_dp, 0.1287237311361620_dp, &
+         & 0.1286784865158810_dp, 0.1286053781316100_dp, 0.1284938774488110_dp, 0.1283316158389810_dp, &
+         & 0.1281045240783740_dp, 0.1277970681023890_dp, 0.1273925825361530_dp, 0.1268736996063640_dp, &
+         & 0.1262228662044220_dp, 0.1254229362592270_dp, 0.1244578194846540_dp, 0.1233131614500850_dp, &
+         & 0.1219770243672900_dp, 0.1204405336697220_dp, 0.1186984530641840_dp, 0.1167496508652520_dp, &
+         & 0.1145974235065670_dp, 0.1122496483176860_dp, 0.1097187467798620_dp, 0.1070214509851440_dp, &
+         & 0.1041783790268700_dp, 0.1012134383862180_dp, 0.0981530887392807_dp, 0.0950255057019405_dp, &
+         & 0.0918596937524754_dp, 0.0886845991760055_dp, 0.0855282720828896_dp, 0.0824171206111899_dp, &
+         & 0.0793752910777172_dp, 0.0764241962256946_dp, 0.0735822011881879_dp, 0.0708644647162586_dp, &
+         & 0.0682829228099990_dp, 0.0658463940032377_dp, 0.0635607806412182_dp, 0.0614293385769216_dp, &
+         & 0.0594529884530459_dp, 0.0576306445379942_dp, 0.0559595412273097_dp, 0.0544355421023326_dp, &
+         & 0.0530534212494516_dp, 0.0518071109432086_dp, 0.0506899135079877_dp, 0.0496946780752552_dp, &
+         & 0.0488139450406351_dp, 0.0480400623715767_dp, 0.0473652786350414_dp, 0.0467818178312314_dp, &
+         & 0.0462819409504220_dp, 0.0458579987139629_dp, 0.0455024792982428_dp, 0.0452080540336297_dp, &
+         & 0.0449676231720915_dp, 0.0447743628750601_dp, 0.0446217736328833_dp, 0.0445037294396045_dp, &
+         & 0.0444145262613631_dp, 0.0443489277053501_dp, 0.0443022053625697_dp, 0.0442701710976579_dp, &
+         & 0.0442491986088811_dp, 0.0442362318786067_dp, 0.0442287786541371_dp, 0.0442248877931348_dp, &
+         & 0.0442231101165191_dp, 0.0442224432632088_dp, 0.0442222618643058_dp, 0.0442222350902597_dp, &
+         & 0.0442222329646071_dp, 0.0442221940093503_dp, 0.0442219300825286_dp, 0.0442209598715024_dp, &
+         & 0.0442183737363990_dp, 0.0442127145061235_dp, 0.0442018781776810_dp, 0.0441830392634657_dp, &
+         & 0.0441526054703090_dp, 0.0441062062773767_dp, 0.0440387197032734_dp, 0.0439443409798841_dp, &
+         & 0.0438166958384514_dp, 0.0436489995318112_dp, 0.0434342604849220_dp, 0.0431655245822711_dp, &
+         & 0.0428361526761591_dp, 0.0424401201777798_dp, 0.0419723239488050_dp, 0.0414288786304979_dp, &
+         & 0.0408073825692270_dp, 0.0401071331331480_dp, 0.0393292728449524_dp, 0.0384768515326499_dp, &
+         & 0.0375547954665763_dp, 0.0365697817114849_dp, 0.0355300238823801_dp, 0.0344449831594389_dp, &
+         & 0.0333250247696100_dp, 0.0321810443156778_dp, 0.0310240897897458_dp, 0.0298650037442627_dp, &
+         & 0.0287141062556557_dp, 0.0275809337161022_dp, 0.0264740420466651_dp, 0.0254008765763700_dp, &
+         & 0.0243677053450497_dp, 0.0233796084635571_dp, 0.0224405135895438_dp, 0.0215532664775893_dp, &
+         & 0.0207197256881884_dp, 0.0199408715508014_dp, 0.0192169210252047_dp, 0.0185474418785745_dp, &
+         & 0.0179314613532213_dp, 0.0173675660823278_dp, 0.0168539913437158_dp, 0.0163886988094575_dp, &
+         & 0.0159694427742139_dp, 0.0155938254565058_dp, 0.0152593423947636_dp, 0.0149634192295878_dp, &
+         & 0.0147034413033609_dp, 0.0144767775453118_dp, 0.0142808000712691_dp, 0.0141129008285290_dp, &
+         & 0.0139705064697822_dp, 0.0138510924507287_dp, 0.0137521971197927_dp, 0.0136714363122152_dp, &
+         & 0.0136065186862382_dp, 0.0135552617594712_dp, 0.0135156083356236_dp, 0.0134856427723378_dp, &
+         & 0.0134636063478837_dp, 0.0134479108532801_dp, 0.0134371494799623_dp, 0.0134301040963791_dp, &
+         & 0.0134257481124322_dp, 0.0134232443064377_dp, 0.0134219372252389_dp, 0.0134213400389882_dp, &
+         & 0.0134211160186481_dp, 0.0134210550801441_dp, 0.0134210460857673_dp, 0.0134210453651491_dp, &
+         & 0.0134210320765362_dp, 0.0134209420445615_dp, 0.0134206110816208_dp, 0.0134197288874915_dp, &
+         & 0.0134177983875006_dp, 0.0134141018631411_dp, 0.0134076754973833_dp, 0.0133972939374871_dp, &
+         & 0.0133814664403502_dp, 0.0133584460707681_dp, 0.0133262532268787_dp, 0.0132827144156025_dp, &
+         & 0.0132255166528950_dp, 0.0131522770887926_dp, 0.0130606264581132_dp, 0.0129483037766676_dp, &
+         & 0.0128132584289276_dp, 0.0126537545623719_dp, 0.0124684716881944_dp, 0.0122565947728788_dp, &
+         & 0.0120178870577163_dp, 0.0117527394771031_dp, 0.0114621918874818_dp, 0.0111479232858898_dp, &
+         & 0.0108122105984521_dp, 0.0104578581758972_dp, 0.0100881025223671_dp, 0.0097064986983924_dp, &
+         & 0.0093167960482745_dp, 0.0089228112997901_dp, 0.0085283066946218_dp, 0.0081368797667025_dp, &
+         & 0.0077518698843377_dp, 0.0073762849120413_dp, 0.0070127495127181_dp, 0.0066634748726386_dp, &
+         & 0.0063302481684317_dp, 0.0060144390663126_dp, 0.0057170200104082_dp, 0.0054385969513149_dp, &
+         & 0.0051794473287643_dp, 0.0049395623677526_dp, 0.0047186909821448_dp, 0.0045163828875303_dp, &
+         & 0.0043320290277720_dp, 0.0041648980663425_dp, 0.0040141683322545_dp, 0.0038789551210527_dp, &
+         & 0.0037583335456333_dp, 0.0036513572067633_dp, 0.0035570729663519_dp, 0.0034745322026026_dp, &
+         & 0.0034027990808028_dp, 0.0033409564907743_dp, 0.0032881103308853_dp, 0.0032433927608935_dp, &
+         & 0.0032059649312757_dp, 0.0031750195662354_dp, 0.0031497836598788_dp, 0.0031295214412808_dp, &
+         & 0.0031135376674172_dp, 0.0031011812057571_dp, 0.0030918487764851_dp, 0.0030849886425557_dp, &
+         & 0.0030801039756128_dp, 0.0030767555914650_dp, 0.0030745637457628_dp, 0.0030732087069865_dp, &
+         & 0.0030724298779674_dp, 0.0030720233123276_dp, 0.0030718375613006_dp, 0.0030717678816359_dp, &
+         & 0.0030717489272618_dp, 0.0030717461296490_dp, 0.0030717459034051_dp, 0.0030717417048933_dp, &
+         & 0.0030717132594660_dp, 0.0030716086927498_dp, 0.0030713299692948_dp, 0.0030707200557743_dp, &
+         & 0.0030695522510058_dp, 0.0030675222190197_dp, 0.0030642432686534_dp, 0.0030592454256677_dp, &
+         & 0.0030519788254892_dp, 0.0030418218987549_dp, 0.0030280947072541_dp, 0.0030100775976294_dp, &
+         & 0.0029870350610324_dp, 0.0029582443204035_dp, 0.0029230277247905_dp, 0.0028807875483992_dp, &
+         & 0.0028310413184300_dp, 0.0027734554010763_dp, 0.0027078743300350_dp, 0.0026343433482907_dp, &
+         & 0.0025531219203358_dp, 0.0024646865833091_dp, 0.0023697223406103_dp, 0.0022691026377402_dp, &
+         & 0.0021638586955319_dp, 0.0020551398384399_dp, 0.0019441674640959_dp, 0.0018321855723826_dp, &
+         & 0.0017204101628394_dp, 0.0016099813735764_dp, 0.0015019267832130_dp, 0.0013971415628262_dp, &
+         & 0.0012963751360857_dp, 0.0012002066192878_dp, 0.0011090146347783_dp, 0.0010227131191129_dp, &
+         & 0.0009430429412021_dp, 0.0008682580422388_dp, 0.0007983414858117_dp, 0.0007331368311370_dp, &
+         & 0.0006724347567371_dp, 0.0006159969269106_dp, 0.0005632942853424_dp, 0.0005145622797045_dp, &
+         & 0.0004689709010748_dp, 0.0004262374839428_dp, 0.0003860890397931_dp, 0.0003483221652445_dp, &
+         & 0.0003127924861062_dp, 0.0002794040682303_dp, 0.0002481001206860_dp, 0.0002189457319091_dp, &
+         & 0.0001918435537362_dp, 0.0001667007116453_dp, 0.0001435233265141_dp, 0.0001223135007820_dp, &
+         & 1.0306442804619600e-04_dp, 8.5757503796912702e-05_dp, 7.0358328635222706e-05_dp, 5.6813277829803603e-05_dp, &
+         & 4.5050717631056600e-05_dp, 3.4984004571470002e-05_dp, 2.6512418799029499e-05_dp, 1.9521577428349701e-05_dp, &
+         & 1.3884605671421500e-05_dp, 9.4640241599108793e-06_dp, 6.1140952496430103e-06_dp, 3.6834600294355398e-06_dp, &
+         &  2.0179902904260399e-06_dp, 9.6385181791447394e-07_dp, 3.7085026605154802e-07_dp, -1.4210854715202001e-14_dp, &
+         & -1.4210854715202001e-14_dp &
+         &]
+      case (45)
+         out = [&
+         & 45.0000000000000000_dp, 44.9999999601258978_dp, 44.9999987271391007_dp, 44.9999903734588997_dp, &
+         & 44.9999596642458002_dp, 44.9998778032165987_dp, 44.9996986445309020_dp, 44.9993555042269975_dp, &
+         & 44.9987586865146980_dp, 44.9977938184458992_dp, 44.9963210618125018_dp, 44.9941752444851986_dp, &
+         & 44.9911669258343991_dp, 44.9870843834944978_dp, 44.9816964826398973_dp, 44.9747563651599975_dp, &
+         & 44.9660058754313994_dp, 44.9551806222965027_dp, 44.9420155634413021_dp, 44.9262509883047017_dp, &
+         & 44.9076387682288996_dp, 44.8859487367986034_dp, 44.8609750581962032_dp, 44.8325424361165972_dp, &
+         & 44.8005120100048018_dp, 44.7647867795040995_dp, 44.7253163932098019_dp, 44.6821011360497025_dp, &
+         & 44.6351949532510019_dp, 44.5847073603384985_dp, 44.5308041099127010_dp, 44.4737065180675017_dp, &
+         & 44.4136893958468022_dp, 44.3510775822593999_dp, 44.2862411318008000_dp, 44.2195892669489012_dp, &
+         & 44.1515632600384009_dp, 44.0826284548757030_dp, 44.0132656728575995_dp, 43.9439622689410996_dp, &
+         & 43.8752031088095009_dp, 43.8074617306909033_dp, 43.7411919354399004_dp, 43.6768200194277014_dp, &
+         & 43.6147378296218022_dp, 43.5552967820434986_dp, 43.4988029462368999_dp, 43.4455132615567976_dp, &
+         & 43.3956329173622990_dp, 43.3493138993174014_dp, 43.3066546781178019_dp, 43.2677009948348967_dp, &
+         & 43.2324476782037976_dp, 43.2008414129973985_dp, 43.1727843645547011_dp, 43.1481385521375032_dp, &
+         & 43.1267308527943030_dp, 43.1083585077483988_dp, 43.0927949951054003_dp, 43.0797961261790974_dp, &
+         & 43.0691062183442028_dp, 43.0604641955171985_dp, 43.0536094685825006_dp, 43.0482874527455976_dp, &
+         & 43.0442545871879005_dp, 43.0412827346552973_dp, 43.0391628546904030_dp, 43.0377078638379018_dp, &
+         & 43.0367546188661976_dp, 43.0361649842019034_dp, 43.0358259715669007_dp, 43.0356489673521025_dp, &
+         & 43.0355680905939977_dp, 43.0355377505948979_dp, 43.0355294973479019_dp, 43.0355282791847031_dp, &
+         & 43.0355281193874006_dp, 43.0355243963015965_dp, 43.0354991718280999_dp, 43.0354064437091992_dp, &
+         & 43.0351592623911969_dp, 43.0346183009702017_dp, 43.0335822524048979_dp, 43.0317804215920034_dp, &
+         & 43.0288678252995993_dp, 43.0244230506132013_dp, 43.0179490532012991_dp, 43.0088770010933032_dp, &
+         & 42.9965731886453000_dp, 42.9803489600098985_dp, 42.9594734929791002_dp, 42.9331892038445986_dp, &
+         & 42.9007294431144004_dp, 42.8613380615278032_dp, 42.8142903366724994_dp, 42.7589146638524014_dp, &
+         & 42.6946143331170020_dp, 42.6208886422626989_dp, 42.5373525411138971_dp, 42.4437539767835972_dp, &
+         & 42.3399881265024973_dp, 42.2261077771477034_dp, 42.1023292477263027_dp, 41.9690334532196019_dp, &
+         & 41.8267619643436035_dp, 41.6762082048489972_dp, 41.5182042136028002_dp, 41.3537036470780990_dp, &
+         & 41.1837618773711966_dp, 41.0095141311054974_dp, 40.8321526110643021_dp, 40.6529034570584002_dp, &
+         & 40.4730042601782998_dp, 40.2936826763769034_dp, 40.1161365212750027_dp, 39.9415155907843982_dp, &
+         & 39.7709053532176995_dp, 39.6053125984567984_dp, 39.4456531003365001_dp, 39.2927413371520018_dp, &
+         & 39.1472823095472009_dp, 39.0098654856280973_dp, 38.8809608853636988_dp, 38.7609172900750991_dp, &
+         & 38.6499625310777972_dp, 38.5482057785425027_dp, 38.4556417210854988_dp, 38.3721565007638006_dp, &
+         & 38.2975352475095008_dp, 38.2314710406825995_dp, 38.1735751116499031_dp, 38.1233880883222014_dp, &
+         & 38.0803920690388011_dp, 38.0440232985092024_dp, 38.0136852029360028_dp, 37.9887615260136968_dp, &
+         & 37.9686292938513006_dp, 37.9526713270011982_dp, 37.9402880138100969_dp, 37.9309080631797002_dp, &
+         & 37.9239979681287025_dp, 37.9190699352794027_dp, 37.9156880698484002_dp, 37.9134726504036976_dp, &
+         & 37.9121023812860969_dp, 37.9113145711764972_dp, 37.9109032512802031_dp, 37.9107153130773966_dp, &
+         & 37.9106448105250990_dp, 37.9106256320795012_dp, 37.9106228013796027_dp, 37.9106225514827031_dp, &
+         & 37.9106176548754021_dp, 37.9105844796300033_dp, 37.9104625237627033_dp, 37.9101374329981979_dp, &
+         & 37.9094259737315014_dp, 37.9080634208226996_dp, 37.9056938569649020_dp, 37.9018638160164016_dp, &
+         & 37.8960196283896025_dp, 37.8875087414303025_dp, 37.8755851903394998_dp, 37.8594192841306025_dp, &
+         & 37.8381114455149969_dp, 37.8107100037723001_dp, 37.7762325877329985_dp, 37.7336906064115993_dp, &
+         & 37.6821161444981030_dp, 37.6205904481229965_dp, 37.5482730440027979_dp, 37.4644304338829031_dp, &
+         & 37.3684632470735991_dp, 37.2599307258115005_dp, 37.1385714672631977_dp, 37.0043194551465007_dp, &
+         & 36.8573145833042020_dp, 36.6979071009156002_dp, 36.5266556894806982_dp, 36.3443192054904003_dp, &
+         & 36.1518424712959003_dp, 35.9503368390977016_dp, 35.7410565457706966_dp, 35.5253720712185981_dp, &
+         & 35.3047417723523012_dp, 35.0806829786587997_dp, 34.8547435311346021_dp, 34.6284744829426998_dp, &
+         & 34.4034044267754027_dp, 34.1810157244411030_dp, 33.9627228099213028_dp, 33.7498527057406008_dp, &
+         & 33.5436279009588034_dp, 33.3451517516419003_dp, 33.1553965563997011_dp, 32.9751944217873003_dp, &
+         & 32.8052309701028975_dp, 32.6460418680266997_dp, 32.4980120823741032_dp, 32.3613777094547004_dp, &
+         & 32.2362301824569002_dp, 32.1225226373056998_dp, 32.0200782083552014_dp, 31.9286000259862988_dp, &
+         & 31.8476826931808006_dp, 31.7768250226559985_dp, 31.7154438166700992_dp, 31.6628884662263985_dp, &
+         & 31.6184561347238002_dp, 31.5814072740542002_dp, 31.5509812007844985_dp, 31.5264114391589985_dp, &
+         & 31.5069405194618000_dp, 31.4918339081266012_dp, 31.4803927429833017_dp, 31.4719650557825013_dp, &
+         & 31.4659551864053988_dp, 31.4618311297367015_dp, 31.4591296066905990_dp, 31.4574587138593991_dp, &
+         & 31.4564980791740005_dp, 31.4559965304949998_dp, 31.4557673662949995_dp, 31.4556813984929988_dp, &
+         & 31.4556580131287014_dp, 31.4556545614966012_dp, 31.4556542846329990_dp, 31.4556491750951999_dp, &
+         & 31.4556145572158989_dp, 31.4554872980980988_dp, 31.4551480710031015_dp, 31.4544056756773003_dp, &
+         & 31.4529838801739992_dp, 31.4505113044047988_dp, 31.4465147996146008_dp, 31.4404167016298999_dp, &
+         & 31.4315362479850009_dp, 31.4190953481964002_dp, 31.4022287808143012_dp, 31.3799987592959013_dp, &
+         & 31.3514136613761991_dp, 31.3154505555672991_dp, 31.2710809882881016_dp, 31.2172993231823988_dp, &
+         & 31.1531527603303999_dp, 31.0777720192122011_dp, 30.9904015584500989_dp, 30.8904281402867014_dp, &
+         & 30.7774065394658010_dp, 30.6510812525068985_dp, 30.5114031877847012_dp, 30.3585405076717016_dp, &
+         & 30.1928830440973002_dp, 30.0150400055367008_dp, 29.8258310187814999_dp, 29.6262708805227994_dp, &
+         & 29.4175487063235011_dp, 29.2010024315748993_dp, 28.9780898164318010_dp, 28.7503572164614987_dp, &
+         & 28.5194073945361986_dp, 28.2868675710374013_dp, 28.0543587544688009_dp, 27.8234671881950000_dp, &
+         & 27.5957185209171989_dp, 27.3725550870993999_dp, 27.1553164910619991_dp, 26.9452235376211000_dp, &
+         & 26.7433654458999008_dp, 26.5506902162403016_dp, 26.3679979833463989_dp, 26.1959371712394002_dp, &
+         & 26.0350032583527984_dp, 25.8855399583023988_dp, 25.7477426208140017_dp, 25.6216636574163985_dp, &
+         & 25.5072197981587010_dp, 25.4042009889418985_dp, 25.3122807434637984_dp, 25.2310277678067010_dp, &
+         & 25.1599186774354990_dp, 25.0983516239056001_dp, 25.0456606405487001_dp, 25.0011305023582011_dp, &
+         & 24.9640118758457987_dp, 24.9335365114948004_dp, 24.9089322071634989_dp, 24.8894372486232989_dp, &
+         & 24.8743140168218986_dp, 24.8628614438262012_dp, 24.8544260036437983_dp, 24.8484109423344997_dp, &
+         & 24.8442834850770993_dp, 24.8415798059746002_dp, 24.8399076079669996_dp, 24.8389462327129991_dp, &
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+         & 0.7811399932419720_dp, 0.7801960881926110_dp, 0.7789538333476070_dp, 0.7773594547473480_dp, &
+         & 0.7753583496669730_dp, 0.7728968101083570_dp, 0.7699239014027980_dp, 0.7663934208184320_dp, &
+         & 0.7622658463234870_dp, 0.7575101753756290_dp, 0.7521055498142460_dp, 0.7460425672078590_dp, &
+         & 0.7393241921307520_dp, 0.7319662025155300_dp, 0.7239971349623180_dp, 0.7154577260880470_dp, &
+         & 0.7063998812875379_dp, 0.6968852339602800_dp, 0.6869833839104300_dp, 0.6767699206380660_dp, &
+         & 0.6663243441959140_dp, 0.6557279931502720_dp, 0.6450620772062980_dp, 0.6344058934673600_dp, &
+         & 0.6238352828663880_dp, 0.6134213598683120_dp, 0.6032295265781900_dp, 0.5933187637485990_dp, &
+         & 0.5837411769502130_dp, 0.5745417667048830_dp, 0.5657583864248540_dp, 0.5574218508857030_dp, &
+         & 0.5495561597894110_dp, 0.5421788048103340_dp, 0.5353011334961120_dp, 0.5289287488066849_dp, &
+         & 0.5230619283841090_dp, 0.5176960524951680_dp, 0.5128220337623191_dp, 0.5084267451962750_dp, &
+         & 0.5044934456371100_dp, 0.5010022035220980_dp, 0.4979303209710650_dp, 0.4952527605726330_dp, &
+         & 0.4929425770309950_dp, 0.4909713550645240_dp, 0.4893096537154950_dp, 0.4879274556312860_dp, &
+         & 0.4867946180269060_dp, 0.4858813200714000_dp, 0.4851584995107390_dp, 0.4845982696116740_dp, &
+         & 0.4841743061519570_dp, 0.4838621933450610_dp, 0.4836397173972740_dp, 0.4834870969334730_dp, &
+         & 0.4833871408180810_dp, 0.4833253259023140_dp, 0.4832897898445620_dp, 0.4832712372202650_dp, &
+         & 0.4832627604644060_dp, 0.4832595805554260_dp, 0.4832587155444800_dp, 0.4832585878707220_dp, &
+         & 0.4832585780630940_dp, 0.4832584024656580_dp, 0.4832572127681090_dp, 0.4832528393275620_dp, &
+         & 0.4832411814444130_dp, 0.4832156689782960_dp, 0.4831668115689140_dp, 0.4830818544292370_dp, &
+         & 0.4829445580273270_dp, 0.4827351170024840_dp, 0.4824302311965100_dp, 0.4820033384972220_dp, &
+         & 0.4814250150470660_dp, 0.4806635430604870_dp, 0.4796856399120910_dp, 0.4784573343538060_dp, &
+         & 0.4769449669566510_dp, 0.4751162826616950_dp, 0.4729415744157920_dp, 0.4703948292114790_dp, &
+         & 0.4674548224855710_dp, 0.4641061047500660_dp, 0.4603398262942660_dp, 0.4561543521774070_dp, &
+         & 0.4515556303719210_dp, 0.4465572900898280_dp, 0.4411804637840080_dp, 0.4354533434486210_dp, &
+         & 0.4294104979124000_dp, 0.4230919912225130_dp, 0.4165423517397430_dp, 0.4098094465395330_dp, &
+         & 0.4029433160830960_dp, 0.3959950203900040_dp, 0.3890155410232200_dp, 0.3820547742260840_dp, &
+         & 0.3751606406879520_dp, 0.3683783276788690_dp, 0.3617496704642210_dp, 0.3553126724821570_dp, &
+         & 0.3491011579723990_dp, 0.3431445466002780_dp, 0.3374677369925010_dp, 0.3320910847754990_dp, &
+         & 0.3270304604360770_dp, 0.3222973728610510_dp, 0.3178991455376660_dp, 0.3138391339140010_dp, &
+         & 0.3101169741640750_dp, 0.3067288554342230_dp, 0.3036678094424520_dp, 0.3009240129566140_dp, &
+         & 0.2984851000987090_dp, 0.2963364825394660_dp, 0.2944616764052270_dp, 0.2928426350848030_dp, &
+         & 0.2914600870936750_dp, 0.2902938777455900_dp, 0.2893233126479660_dp, 0.2885275000551960_dp, &
+         & 0.2878856879823740_dp, 0.2873775908226860_dp, 0.2869836991504470_dp, 0.2866855655591750_dp, &
+         & 0.2864660588936370_dp, 0.2863095791791470_dp, 0.2862022259872750_dp, 0.2861319139206270_dp, &
+         & 0.2860884303211790_dp, 0.2860634321351510_dp, 0.2860503809932670_dp, 0.2860444178562100_dp, &
+         & 0.2860421808836970_dp, 0.2860415723735060_dp, 0.2860414825586940_dp, 0.2860414756066660_dp, &
+         & 0.2860413504507520_dp, 0.2860405025015570_dp, 0.2860373853576230_dp, 0.2860290762505000_dp, &
+         & 0.2860108922473970_dp, 0.2859760687583660_dp, 0.2859155137114300_dp, 0.2858176494963090_dp, &
+         & 0.2856683532827800_dp, 0.2854510044946180_dp, 0.2851466459298350_dp, 0.2847342621240610_dp, &
+         & 0.2841911749395860_dp, 0.2834935519700680_dp, 0.2826170182190140_dp, 0.2815373557998980_dp, &
+         & 0.2802312704206290_dp, 0.2786771975997690_dp, 0.2768561164694530_dp, 0.2747523352660510_dp, &
+         & 0.2723542107841010_dp, 0.2696547646521030_dp, 0.2666521625517290_dp, 0.2633500284417000_dp, &
+         & 0.2597575741446150_dp, 0.2558895347000810_dp, 0.2517659108341450_dp, 0.2474115307827200_dp, &
+         & 0.2428554535790040_dp, 0.2381302439505500_dp, 0.2332711545827020_dp, 0.2283152543882490_dp, &
+         & 0.2233005415714190_dp, 0.2182650779366070_dp, 0.2132461765137210_dp, 0.2082796687137360_dp, &
+         & 0.2033992704944230_dp, 0.1986360599911170_dp, 0.1940180722664020_dp, 0.1895700106743730_dp, &
+         & 0.1853130691267210_dp, 0.1812648554797040_dp, 0.1774394034164430_dp, 0.1738472585613950_dp, &
+         & 0.1704956240388850_dp, 0.1673885511186200_dp, 0.1645271617822170_dp, 0.1619098917817110_dp, &
+         & 0.1595327448264290_dp, 0.1573895507272100_dp, 0.1554722224656120_dp, 0.1537710090950810_dp, &
+         & 0.1522747430041920_dp, 0.1509710813035170_dp, 0.1498467418923110_dp, 0.1488877351107760_dp, &
+         & 0.1480795918085040_dp, 0.1474075882116420_dp, 0.1468569672241320_dp, 0.1464131548486170_dp, &
+         & 0.1460619693711320_dp, 0.1457898199370720_dp, 0.1455838902717370_dp, 0.1454323026712100_dp, &
+         & 0.1453242570932080_dp, 0.1452501402681890_dp, 0.1452016002484770_dp, 0.1451715827005340_dp, &
+         & 0.1451543264687910_dp, 0.1451453174152920_dp, 0.1451412011624600_dp, 0.1451396570233360_dp, &
+         & 0.1451392369809310_dp, 0.1451391749835840_dp, 0.1451391701458250_dp, 0.1451390825502370_dp, &
+         & 0.1451384890777800_dp, 0.1451363074190370_dp, 0.1451304919853130_dp, 0.1451177653931950_dp, &
+         & 0.1450933937587920_dp, 0.1450510153878710_dp, 0.1449825316985520_dp, 0.1448780683110510_dp, &
+         & 0.1447260130901000_dp, 0.1445131364051730_dp, 0.1442247968504660_dp, 0.1438452330310440_dp, &
+         & 0.1433579387115100_dp, 0.1427461146559990_dp, 0.1419931859851720_dp, 0.1410833690747140_dp, &
+         & 0.1400022672758960_dp, 0.1387374705045520_dp, 0.1372791305257190_dp, 0.1356204820614910_dp, &
+         & 0.1337582800910230_dp, 0.1316931261693030_dp, 0.1294296613216940_dp, 0.1269766098780710_dp, &
+         & 0.1243466670416920_dp, 0.1215562323713540_dp, 0.1186250008670840_dp, 0.1155754321257230_dp, &
+         & 0.1124321252610440_dp, 0.1092211323252390_dp, 0.1059692454223010_dp, 0.1027032924542580_dp, &
+         & 0.0994494736580762_dp, 0.0962327661898215_dp, 0.0930764175874828_dp, 0.0900015416867319_dp, &
+         & 0.0870268231710867_dp, 0.0841683300416989_dp, 0.0814394273909684_dp, 0.0788507812928003_dp, &
+         & 0.0764104385362643_dp, 0.0741239663201796_dp, 0.0719946357532351_dp, 0.0700236338389502_dp, &
+         & 0.0682102902892652_dp, 0.0665523077189789_dp, 0.0650459862575516_dp, 0.0636864361442235_dp, &
+         & 0.0624677742628279_dp, 0.0613833026923487_dp, 0.0604256691125116_dp, 0.0595870102646288_dp, &
+         & 0.0588590806144396_dp, 0.0582333689061869_dp, 0.0577012054630828_dp, 0.0572538629222521_dp, &
+         & 0.0568826526424786_dp, 0.0565790183548174_dp, 0.0563346278081980_dp, 0.0561414622706877_dp, &
+         & 0.0559919028633189_dp, 0.0558788119053588_dp, 0.0557956068109959_dp, 0.0557363236595947_dp, &
+         & 0.0556956674057076_dp, 0.0556690458229028_dp, 0.0556525846779365_dp, 0.0556431222793634_dp, &
+         & 0.0556381823809602_dp, 0.0556359253750998_dp, 0.0556350787063522_dp, 0.0556348483930549_dp, &
+         & 0.0556348143993333_dp, 0.0556348117241825_dp, 0.0556347629968528_dp, 0.0556344328626750_dp, &
+         & 0.0556332192645002_dp, 0.0556299843339332_dp, 0.0556229051562838_dp, 0.0556093491738281_dp, &
+         & 0.0555857798679824_dp, 0.0555476981181471_dp, 0.0554896243191010_dp, 0.0554051258569359_dp, &
+         & 0.0552868937809876_dp, 0.0551268713434396_dp, 0.0549164353995408_dp, 0.0546466294067685_dp, &
+         & 0.0543084439280364_dp, 0.0538931372275684_dp, 0.0533925849443406_dp, 0.0527996442399470_dp, &
+         & 0.0521085146374034_dp, 0.0513150754361078_dp, 0.0504171785403429_dp, 0.0494148761348896_dp, &
+         & 0.0483105650928763_dp, 0.0471090343127898_dp, 0.0458174071183777_dp, 0.0444449779396408_dp, &
+         & 0.0430029500577191_dp, 0.0415040884552909_dp, 0.0399623079850215_dp, 0.0383922214737495_dp, &
+         & 0.0368086745647531_dp, 0.0352262938829639_dp, 0.0336590726127710_dp, 0.0321200131961135_dp, &
+         & 0.0306208411767557_dp, 0.0291717979262103_dp, 0.0277815137775264_dp, 0.0264569575695930_dp, &
+         & 0.0252034542113506_dp, 0.0240247588587366_dp, 0.0229231746981071_dp, 0.0218997010152719_dp, &
+         & 0.0209541989509319_dp, 0.0200855638101700_dp, 0.0192918947187408_dp, 0.0185706545548570_dp, &
+         & 0.0179188152284766_dp, 0.0173329853692437_dp, 0.0168095192092395_dp, 0.0163446068398443_dp, &
+         & 0.0159343470685371_dp, 0.0155748048198987_dp, 0.0152620554568159_dp, 0.0149922185919777_dp, &
+         & 0.0147614839604060_dp, 0.0145661317707706_dp, 0.0144025496781239_dp, 0.0142672481522865_dp, &
+         & 0.0141568755810155_dp, 0.0140682339706970_dp, 0.0139982956177747_dp, 0.0139442206485896_dp, &
+         & 0.0139033748944115_dp, 0.0138733472102217_dp, 0.0138519650853581_dp, 0.0138373072527429_dp, &
+         & 0.0138277119892152_dp, 0.0138217799146929_dp, 0.0138183703277761_dp, 0.0138165904385801_dp, &
+         & 0.0138157772432947_dp, 0.0138154721938832_dp, 0.0138153892138249_dp, 0.0138153769661713_dp, &
+         & 0.0138153759938007_dp, 0.0138153581739218_dp, 0.0138152374420173_dp, 0.0138147936253432_dp, &
+         & 0.0138136106236360_dp, 0.0138110219098948_dp, 0.0138060651964764_dp, 0.0137974485060965_dp, &
+         & 0.0137835298992997_dp, 0.0137623130989368_dp, 0.0137314611614201_dp, 0.0136883301037329_dp, &
+         & 0.0136300239256144_dp, 0.0135534717006109_dp, 0.0134555263031331_dp, 0.0133330828884013_dp, &
+         & 0.0131832135047603_dp, 0.0130033123172737_dp, 0.0127912440493887_dp, 0.0125454866566486_dp, &
+         & 0.0122652582072220_dp, 0.0119506177209630_dp, 0.0116025305069059_dp, 0.0112228904199441_dp, &
+         & 0.0108144943628261_dp, 0.0103809680591311_dp, 0.0099266462371972_dp, 0.0094564144080422_dp, &
+         & 0.0089755228619452_dp, 0.0084893858601944_dp, 0.0080033799233163_dp, 0.0075226545153058_dp, &
+         & 0.0070519664870687_dp, 0.0065955467926742_dp, 0.0061570047298147_dp, 0.0057392716830336_dp, &
+         & 0.0053445832837227_dp, 0.0049744961527764_dp, 0.0046299331199364_dp, 0.0043112493008408_dp, &
+         & 0.0040183109550611_dp, 0.0037505797116282_dp, 0.0035071962344162_dp, 0.0032870591548644_dp, &
+         & 0.0030888966226286_dp, 0.0029113289042613_dp, 0.0027529211906554_dp, 0.0026122263575346_dp, &
+         & 0.0024878179751226_dp, 0.0023783143589853_dp, 0.0022823948127240_dp, 0.0021988093917287_dp, &
+         & 0.0021263835417855_dp, 0.0020640188947638_dp, 0.0020106913792688_dp, 0.0019654476521396_dp, &
+         & 0.0019274006874355_dp, 0.0018957251849301_dp, 0.0018696532941931_dp, 0.0018484709987092_dp, &
+         & 0.0018315153694601_dp, 0.0018181727741293_dp, 0.0018078780152706_dp, 0.0018001142684980_dp, &
+         & 0.0017944136042942_dp, 0.0017903578105489_dp, 0.0017875791920901_dp, 0.0017857610116962_dp, &
+         & 0.0017846372559376_dp, 0.0017839914559517_dp, 0.0017836543620859_dp, 0.0017835003575257_dp, &
+         & 0.0017834425877581_dp, 0.0017834268732315_dp, 0.0017834245538140_dp, 0.0017834243679644_dp, &
+         & 0.0017834209411802_dp, 0.0017833977243313_dp, 0.0017833123788407_dp, 0.0017830848954716_dp, &
+         & 0.0017825871365602_dp, 0.0017816341862442_dp, 0.0017799779910419_dp, 0.0017773038046869_dp, &
+         & 0.0017732299790367_dp, 0.0017673116484502_dp, 0.0017590488159769_dp, 0.0017478992402999_dp, &
+         & 0.0017332963196210_dp, 0.0017146718592471_dp, 0.0016914831921042_dp, 0.0016632436180828_dp, &
+         & 0.0016295545828129_dp, 0.0015901374972245_dp, 0.0015448626905510_dp, 0.0014937727777422_dp, &
+         & 0.0014370977825351_dp, 0.0013752597394472_dp, 0.0013088652254822_dp, 0.0012386853434378_dp, &
+         & 0.0011656240560640_dp, 0.0010906773340267_dp, 0.0010148870443345_dp, 0.0009392943707880_dp, &
+         & 0.0008648972367311_dp, 0.0007926144213357_dp, 0.0007232563820736_dp, 0.0006575007663940_dp, &
+         & 0.0005958710557010_dp, 0.0005387203672313_dp, 0.0004862270285599_dp, 0.0004384094125740_dp, &
+         & 0.0003951610664856_dp, 0.0003562962107964_dp, 0.0003215889929180_dp, 0.0002907937007848_dp, &
+         & 0.0002636450246030_dp, 0.0002398492431226_dp, 0.0002190812419371_dp, 0.0002009958761704_dp, &
+         & 0.0001852505309827_dp, 0.0001715284443975_dp, 0.0001595539181878_dp, 0.0001490968309668_dp, &
+         & 0.0001399689089254_dp, 0.0001320158986502_dp, 0.0001251091086019_dp, 0.0001191382491328_dp, &
+         & 0.0001140061346945_dp, 0.0001096250714099_dp, 0.0001059145544957_dp, 0.0001027999228356_dp, &
+         & 1.0021165864770900e-04_dp, 9.8085060500352497e-05_dp, 9.6360084135937996e-05_dp, 9.4981230510882101e-05_dp, &
+         & 9.3897435348822000e-05_dp, 9.3061963291063394e-05_dp, 9.2432325494940000e-05_dp, 9.1970234258553801e-05_dp, &
+         & 9.1641591588143001e-05_dp, 9.1416493901874701e-05_dp, 9.1269225734436104e-05_dp, 9.1178213558862394e-05_dp, &
+         & 9.1125913861844806e-05_dp, 9.1098615456530806e-05_dp, 9.1086144124119501e-05_dp, 9.1081465953379793e-05_dp, &
+         & 9.1080193392656397e-05_dp, 9.1080005567789599e-05_dp, 9.1079990397702204e-05_dp, 9.1079708973040906e-05_dp, &
+         & 9.1077802267136603e-05_dp, 9.1070793217795694e-05_dp, 9.1052111208966794e-05_dp, 9.1011233848803399e-05_dp, &
+         & 9.0932978572766401e-05_dp, 9.0796985347196796e-05_dp, 9.0577435415184495e-05_dp, 9.0243056050098898e-05_dp, &
+         & 8.9757464422746098e-05_dp, 8.9079906558708899e-05_dp, 8.8166445664228404e-05_dp, 8.6971644250866107e-05_dp, &
+         & 8.5450762313143996e-05_dp, 8.3562448502050302e-05_dp, 8.1271829458273701e-05_dp, 7.8553806005743395e-05_dp, &
+         & 7.5396267689598103e-05_dp, 7.1802880249549603e-05_dp, 6.7795128330772099e-05_dp, 6.3413407964674207e-05_dp, &
+         & 5.8717083653902999e-05_dp, 5.3783409263985498e-05_dp, 4.8704963838019901e-05_dp, 4.3584871377788699e-05_dp, &
+         & 3.8528870433651698e-05_dp, 3.3633739718652598e-05_dp, 2.8973385667541199e-05_dp, 2.4587647239115998e-05_dp, &
+         & 2.0482488331197099e-05_dp, 1.6646677551079800e-05_dp, 1.3075738124257400e-05_dp, 9.7922943567141408e-06_dp, &
+         & 6.9234684545449497e-06_dp, 5.0681078818115600e-06_dp, 4.9059431503906100e-06_dp, 5.1471873376840398e-06_dp, &
+         & 4.8512320702798198e-06_dp, 3.9529103403879196e-06_dp, 2.6868780977906698e-06_dp, 1.3853091118676300e-06_dp, &
+         & 3.9340157798051202e-07_dp, 3.5115674279495600e-07_dp, 5.6942835158224604e-07_dp, 7.2051425803465495e-07_dp, &
+         & 6.9650684508815196e-07_dp, 9.0873497526899904e-07_dp, 1.0904838916303599e-06_dp, 9.8377495305612704e-07_dp, &
+         & 6.4019880596788404e-07_dp, 5.5482123428873798e-07_dp, 6.5292328343957696e-07_dp, 7.0363428505970702e-07_dp, &
+         & 6.5896165324375002e-07_dp, 5.4355438550146605e-07_dp, 4.2530408705942998e-07_dp, 3.4797734826952402e-07_dp, &
+         & 3.2107517000667898e-07_dp, 3.2529879234743899e-07_dp, 3.3300328539098700e-07_dp, 3.2699521312906702e-07_dp, &
+         &  3.0311947796235499e-07_dp, -1.4210854715202001e-14_dp, 0.0000000000000000e+00_dp, -7.1054273576010003e-15_dp, &
+         &  0.0000000000000000e+00_dp, -7.1054273576010003e-15_dp, 0.0000000000000000e+00_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp, 0.0000000000000000e+00_dp, -7.1054273576010003e-15_dp, 0.0000000000000000e+00_dp, &
+         & 0.0000000000000000_dp &
+         &]
+      case (46)
+         out = [&
+         & 46.0000000000000000_dp, 45.9999999588177033_dp, 45.9999986853802980_dp, 45.9999900576402965_dp, &
+         & 45.9999583409476998_dp, 45.9998737942942029_dp, 45.9996887579127005_dp, 45.9993343600738029_dp, &
+         & 45.9987179621457969_dp, 45.9977214384692985_dp, 45.9962003621063005_dp, 45.9939841400011034_dp, &
+         & 45.9908771126226981_dp, 45.9866606048950999_dp, 45.9810958883247025_dp, 45.9739279897393018_dp, &
+         & 45.9648902607950021_dp, 45.9537096048747031_dp, 45.9401122442762997_dp, 45.9238299003022021_dp, &
+         & 45.9046062512450987_dp, 45.8822035272728996_dp, 45.8564090957684982_dp, 45.8270418849231973_dp, &
+         & 45.7939584869921035_dp, 45.7570587760397984_dp, 45.7162908695317967_dp, 45.6716552608380013_dp, &
+         & 45.6232079531939974_dp, 45.5710624375061002_dp, 45.5153903786814027_dp, 45.4564209089316975_dp, &
+         & 45.3944384713028981_dp, 45.3297792104995025_dp, 45.2628259673829021_dp, 45.1940019938180981_dp, &
+         & 45.1237635608611001_dp, 45.0525916809820970_dp, 44.9809832003921031_dp, 44.9094415382616035_dp, &
+         & 44.8384673549904988_dp, 44.7685494225484035_dp, 44.7001559483776987_dp, 44.6337265733904971_dp, &
+         & 44.5696652275196001_dp, 44.5083339863212970_dp, 44.4500480320688993_dp, 44.3950717847359968_dp, &
+         & 44.3436162336608035_dp, 44.2958374701766004_dp, 44.2518363952245011_dp, 44.2116595535982029_dp, &
+         & 44.1753010274794988_dp, 44.1427053056414991_dp, 44.1137710305383024_dp, 44.0883555129954985_dp, &
+         & 44.0662798930763984_dp, 44.0473348158606015_dp, 44.0312864824526002_dp, 44.0178829298347978_dp, &
+         & 44.0068603886118979_dp, 43.9979495657379971_dp, 43.9908817004724000_dp, 43.9853942464933994_dp, &
+         & 43.9812360416287973_dp, 43.9781718391858973_dp, 43.9759860913309026_dp, 43.9744858951179012_dp, &
+         & 43.9735030351216025_dp, 43.9728950825260014_dp, 43.9725455381351011_dp, 43.9723630351728971_dp, &
+         & 43.9722796459410006_dp, 43.9722483634181032_dp, 43.9722398537808985_dp, 43.9722385977752026_dp, &
+         & 43.9722384330137004_dp, 43.9722345942688975_dp, 43.9722085861886995_dp, 43.9721129774469972_dp, &
+         & 43.9718581174332002_dp, 43.9713003513073986_dp, 43.9702321194667007_dp, 43.9683743208701969_dp, &
+         & 43.9653712636243981_dp, 43.9607884622158025_dp, 43.9541134695026017_dp, 43.9447598537433990_dp, &
+         & 43.9320743473618975_dp, 43.9153471058602989_dp, 43.8938249235283990_dp, 43.8667271586796019_dp, &
+         & 43.8332640263197035_dp, 43.7926568214848970_dp, 43.7441595429718006_dp, 43.6870812962659016_dp, &
+         & 43.6208087689408970_dp, 43.5448279968568031_dp, 43.4587445837127007_dp, 43.3623015119234978_dp, &
+         & 43.2553937035947982_dp, 43.1380785700797986_dp, 43.0105819359383972_dp, 42.8732989376712013_dp, &
+         & 42.7267897667830994_dp, 42.5717704254348988_dp, 42.4090989567516985_dp, 42.2397578634251971_dp, &
+         & 42.0648336053326020_dp, 41.8854941497810032_dp, 41.7029655339431002_dp, 41.5185083024897992_dp, &
+         & 41.3333945316975004_dp, 41.1488859774987006_dp, 40.9662137199270973_dp, 40.7865595423690976_dp, &
+         & 40.6110391911949975_dp, 40.4406876081281013_dp, 40.2764462040100994_dp, 40.1191522344701994_dp, &
+         & 39.9695303322319972_dp, 39.8281862383504972_dp, 39.6956027519046017_dp, 39.5721378857532997_dp, &
+         & 39.4580251790890983_dp, 39.3533760807038036_dp, 39.2581842841755986_dp, 39.1723318697346983_dp, &
+         & 39.0955970874395007_dp, 39.0276636010725966_dp, 38.9681309996600973_dp, 38.9165263715987990_dp, &
+         & 38.8723167235066995_dp, 38.8349220114589002_dp, 38.8037285365486966_dp, 38.7781024408711019_dp, &
+         & 38.7574030258437006_dp, 38.7409956043850983_dp, 38.7282635940901017_dp, 38.7186195622259035_dp, &
+         & 38.7115149467733985_dp, 38.7064482019048981_dp, 38.7029711515265973_dp, 38.7006933803279978_dp, &
+         & 38.6992845468395004_dp, 38.6984745652588984_dp, 38.6980516696281995_dp, 38.6978584423247014_dp, &
+         & 38.6977859556396027_dp, 38.6977662374610034_dp, 38.6977633270976966_dp, 38.6977630701680013_dp, &
+         & 38.6977580357569977_dp, 38.6977239268714968_dp, 38.6975985388444030_dp, 38.6972642992005973_dp, &
+         & 38.6965328178284977_dp, 38.6951319201672987_dp, 38.6926956743833017_dp, 38.6887578575024023_dp, &
+         & 38.6827492292231980_dp, 38.6739988947348010_dp, 38.6617399378214017_dp, 38.6451193913617033_dp, &
+         & 38.6232124830685990_dp, 38.5950409502602980_dp, 38.5595950607642024_dp, 38.5158588122610013_dp, &
+         & 38.4628376165560013_dp, 38.3995876179385007_dp, 38.3252456572251035_dp, 38.2390587873328016_dp, &
+         & 38.1404121837901968_dp, 38.0288542841931019_dp, 37.9041180412750975_dp, 37.7661372890419997_dp, &
+         & 37.6150574014694996_dp, 37.4512396668604026_dp, 37.2752591022740987_dp, 37.0878957786771011_dp, &
+         & 36.8901200947048977_dp, 36.6830727875086993_dp, 36.4680407543652976_dp, 36.2464299297021029_dp, &
+         & 36.0197364873477994_dp, 35.7895175190223966_dp, 35.5573621175417998_dp, 35.3248635333066971_dp, &
+         & 35.0935928431058031_dp, 34.8650744153298007_dp, 34.6407633838266023_dp, 34.4220253313352984_dp, &
+         & 34.2101183956442014_dp, 34.0061780135839982_dp, 33.8112044905520008_dp, 33.6260535241914980_dp, &
+         & 33.4514297301903980_dp, 33.2878831312248025_dp, 33.1358084911680990_dp, 32.9954473153745980_dp, &
+         & 32.8668922978889029_dp, 32.7500939765670012_dp, 32.6448693527446991_dp, 32.5509122371919020_dp, &
+         & 32.4678050926352029_dp, 32.3950321500876015_dp, 32.3319935781414003_dp, 32.2780204794773979_dp, &
+         & 32.2323904769284013_dp, 32.1943436336757998_dp, 32.1630984308029966_dp, 32.1378675034341015_dp, &
+         & 32.1178728174661003_dp, 32.1023599559046033_dp, 32.0906111802845970_dp, 32.0819569412378982_dp, &
+         & 32.0757855348199001_dp, 32.0715506385061033_dp, 32.0687765124663002_dp, 32.0670607162940016_dp, &
+         & 32.0660742662109968_dp, 32.0655592394415976_dp, 32.0653239169620008_dp, 32.0652356389719984_dp, &
+         & 32.0652116251801971_dp, 32.0652080807934965_dp, 32.0652077964898012_dp, 32.0652025496450008_dp, &
+         & 32.0651670014907992_dp, 32.0650363225852999_dp, 32.0646879796001016_dp, 32.0639256344132022_dp, &
+         & 32.0624656326992010_dp, 32.0599266165103032_dp, 32.0558227276850971_dp, 32.0495607906986990_dp, &
+         & 32.0404417736128977_dp, 32.0276667223284974_dp, 32.0103472445822987_dp, 31.9875204848435004_dp, &
+         & 31.9581683795960991_dp, 31.9212408165703998_dp, 31.8756821460142987_dp, 31.8204603145658993_dp, &
+         & 31.7545977229003995_dp, 31.6772027594321983_dp, 31.5875008474488013_dp, 31.4848637754972991_dp, &
+         & 31.3688360722400006_dp, 31.2391572457713984_dp, 31.0957788374172992_dp, 30.9388754397605013_dp, &
+         & 30.7688490905079988_dp, 30.5863267641788994_dp, 30.3921510230228016_dp, 30.1873642327465994_dp, &
+         & 29.9731870699921998_dp, 29.7509923190578007_dp, 29.5222751502571015_dp, 29.2886211740988998_dp, &
+         & 29.0516735676410995_dp, 28.8131004783430988_dp, 28.5745637451895007_dp, 28.3376897642603005_dp, &
+         & 28.1040430970859987_dp, 27.8751032031385009_dp, 27.6522444930830993_dp, 27.4367197571638997_dp, &
+         & 27.2296469236338012_dp, 27.0319990385009987_dp, 26.8445973196586003_dp, 26.6681071155022984_dp, &
+         & 26.5030365829287007_dp, 26.3497378881893987_dp, 26.2084107254780001_dp, 26.0791079429993005_dp, &
+         & 25.9617430654360000_dp, 25.8560995051260001_dp, 25.7618412606319005_dp, 25.6785249084113012_dp, &
+         & 25.6056126982532994_dp, 25.5424865635113001_dp, 25.4884628512208984_dp, 25.4428075643495006_dp, &
+         & 25.4047518893646007_dp, 25.3735077588677989_dp, 25.3482831740437007_dp, 25.3282969885298002_dp, &
+         & 25.3127928377510010_dp, 25.3010518893184013_dp, 25.2924040938457004_dp, 25.2862376336857011_dp, &
+         & 25.2820063007507017_dp, 25.2792345835976988_dp, 25.2775203068962000_dp, 25.2765347406246015_dp, &
+         & 25.2760201782628009_dp, 25.2757850686549013_dp, 25.2756968706305010_dp, 25.2756728786017000_dp, &
+         & 25.2756693374275017_dp, 25.2756690642980999_dp, 25.2756641597699989_dp, 25.2756309308653009_dp, &
+         & 25.2755087778121990_dp, 25.2751831619744998_dp, 25.2744705563971017_dp, 25.2731058188935016_dp, &
+         & 25.2707324895832990_dp, 25.2668964528431985_dp, 25.2610433319136014_dp, 25.2525199015196016_dp, &
+         & 25.2405797078681005_dp, 25.2243929742224005_dp, 25.2030607425033999_dp, 25.1756330569527016_dp, &
+         & 25.1411308368110014_dp, 25.0985709158255013_dp, 25.0469935547348008_dp, 24.9854915689723995_dp, &
+         & 24.9132400701598016_dp, 24.8295257100734013_dp, 24.7337742527701003_dp, 24.6255752954343983_dp, &
+         & 24.5047030184687991_dp, 24.3711319726652995_dp, 24.2250471027602003_dp, 24.0668474538443000_dp, &
+         & 23.8971432970691993_dp, 23.7167467274345007_dp, 23.5266561098840015_dp, 23.3280350586373011_dp, &
+         & 23.1221869045729989_dp, 22.9105258116121000_dp, 22.6945458229088999_dp, 22.4757891363990012_dp, &
+         & 22.2558148253893009_dp, 22.0361690486156014_dp, 21.8183575658312989_dp, 21.6038211278313987_dp, &
+         & 21.3939140799569003_dp, 21.1898863303463010_dp, 20.9928686976154992_dp, 20.8038615623915994_dp, &
+         & 20.6237266902348999_dp, 20.4531820558135990_dp, 20.2927994694281004_dp, 20.1430047824629987_dp, &
+         & 20.0040804282172004_dp, 19.8761700413788986_dp, 19.7592848957729004_dp, 19.6533119068772990_dp, &
+         & 19.5580229617720001_dp, 19.4730853615198995_dp, 19.3980731852524002_dp, 19.3324794070193988_dp, &
+         & 19.2757286119711004_dp, 19.2271901650865011_dp, 19.1861916823537015_dp, 19.1520326415147011_dp, &
+         & 19.1239979490738001_dp, 19.1013712552669013_dp, 19.0834477828615015_dp, 19.0695464131579016_dp, &
+         & 19.0590207574235002_dp, 19.0512689377682989_dp, 19.0457418108213012_dp, 19.0419493920005003_dp, &
+         & 19.0394652778637017_dp, 19.0379289177951989_dp, 19.0370456516803017_dp, 19.0365845037925006_dp, &
+         & 19.0363738007431991_dp, 19.0362947586304010_dp, 19.0362732572475011_dp, 19.0362700836879988_dp, &
+         & 19.0362698433956012_dp, 19.0362655866405994_dp, 19.0362367464989006_dp, 19.0361307270845010_dp, &
+         & 19.0358481182306001_dp, 19.0352296355641997_dp, 19.0340451668790998_dp, 19.0319853646943002_dp, &
+         & 19.0286561735874002_dp, 19.0235766213072992_dp, 19.0161801331694988_dp, 19.0058195475784011_dp, &
+         & 18.9917759143966016_dp, 18.9732710455579010_dp, 18.9494836584160993_dp, 18.9195688084144997_dp, &
+         & 18.8826801528910018_dp, 18.8379944290898003_dp, 18.7847373763110994_dp, 18.7222101962676994_dp, &
+         & 18.6498155399198993_dp, 18.5670819458484004_dp, 18.4736856452895992_dp, 18.3694686996385990_dp, &
+         & 18.2544525503088018_dp, 18.1288462358953986_dp, 17.9930487599986009_dp, 17.8476453625555003_dp, &
+         & 17.6933977422354012_dp, 17.5312285789670987_dp, 17.3622009942096014_dp, 17.1874938420037005_dp, &
+         & 17.0083739269070016_dp, 16.8261663788006004_dp, 16.6422244669287984_dp, 16.4579001006936991_dp, &
+         & 16.2745161454635010_dp, 16.0933414899494984_dp, 15.9155695578876006_dp, 15.7423006868915998_dp, &
+         & 15.5745285294217997_dp, 15.4131303904652004_dp, 15.2588612234061998_dp, 15.1123508710089993_dp, &
+         & 14.9741040649479000_dp, 14.8445026796164008_dp, 14.7238097632000002_dp, 14.6121749275013002_dp, &
+         & 14.5096407537113006_dp, 14.4161499517883005_dp, 14.3315530866294001_dp, 14.2556167482202998_dp, &
+         & 14.1880320917926994_dp, 14.1284237064313007_dp, 14.0763587870332998_dp, 14.0313565865921994_dp, &
+         & 13.9928981156907994_dp, 13.9604360363815001_dp, 13.9334046710507007_dp, 13.9112300162482008_dp, &
+         & 13.8933396197436991_dp, 13.8791721492238995_dp, 13.8681864560132002_dp, 13.8598699197462008_dp, &
+         & 13.8537458524565000_dp, 13.8493797448763001_dp, 13.8463841549086002_dp, 13.8444220682899992_dp, &
+         & 13.8432086034466995_dp, 13.8425109844883991_dp, 13.8421467653418997_dp, 13.8419803507926993_dp, &
+         & 13.8419179229803007_dp, 13.8419009411045000_dp, 13.8418984346153007_dp, 13.8418982464524003_dp, &
+         & 13.8418949345714992_dp, 13.8418724960960997_dp, 13.8417900099559006_dp, 13.8415701327225005_dp, &
+         & 13.8410889394730994_dp, 13.8401674071700995_dp, 13.8385648870956999_dp, 13.8359748753796996_dp, &
+         & 13.8320233467809999_dp, 13.8262698647464006_dp, 13.8182116178561003_dp, 13.8072904563912999_dp, &
+         & 13.7929029107579009_dp, 13.7744130649473000_dp, 13.7511680342011005_dp, 13.7225156602862999_dp, &
+         & 13.6878238970372994_dp, 13.6465012228697997_dp, 13.5980172981367993_dp, 13.5419229973098005_dp, &
+         & 13.4778689027459997_dp, 13.4056213599118994_dp, 13.3250752708242999_dp, 13.2362629444589999_dp, &
+         & 13.1393585237547992_dp, 13.0346777545502004_dp, 12.9226731312559000_dp, 12.8039247215047993_dp, &
+         & 12.6791272103432995_dp, 12.5490738894707992_dp, 12.4146384312108005_dp, 12.2767553228695991_dp, &
+         & 12.1363997987733008_dp, 11.9945680088326991_dp, 11.8522580256063002_dp, 11.7104521409805997_dp, &
+         & 11.5701007610619993_dp, 11.4321080896073006_dp, 11.2973197035741002_dp, 11.1665120676775000_dp, &
+         & 11.0403840002891993_dp, 10.9195500797625993_dp, 10.8045359584614999_dp, 10.6957755253336000_dp, &
+         & 10.5936098257873006_dp, 10.4982876132310992_dp, 10.4099673756798001_dp, 10.3287206590277005_dp, &
+         & 10.2545364996340993_dp, 10.1873267833998007_dp, 10.1269323642487006_dp, 10.0731297975518999_dp, &
+         & 10.0256385684741005_dp, 9.9841287168099306_dp, 9.9482287751391691_dp, 9.9175339441345400_dp, &
+         & 9.8916144272043507_dp, 9.8700238372563600_dp, 9.8523075730944107_dp, 9.8380110443099191_dp, &
+         & 9.8266876043235705_dp, 9.8179060343441105_dp, 9.8112574091231401_dp, 9.8063611707840899_dp, &
+         & 9.8028702413780007_dp, 9.8004750191154208_dp, 9.7989061275424696_dp, 9.7979358205031595_dp, &
+         & 9.7973779869862305_dp, 9.7970867466546103_dp, 9.7969536763216993_dp, 9.7969037570101403_dp, &
+         & 9.7968901777436699_dp, 9.7968881734722704_dp, 9.7968880234685098_dp, 9.7968853893273806_dp, &
+         & 9.7968675426346898_dp, 9.7968019363215202_dp, 9.7966270541087006_dp, 9.7962443293267398_dp, &
+         & 9.7955113681259096_dp, 9.7942367504087802_dp, 9.7921766507090808_dp, 9.7890334850267493_dp, &
+         & 9.7844567471494699_dp, 9.7780461476663501_dp, 9.7693571090541607_dp, 9.7579085996111292_dp, &
+         & 9.7431932072044507_dp, 9.7246892616749907_dp, 9.7018747148860101_dp, 9.6742423842568606_dp, &
+         & 9.6413160654668992_dp, 9.6026669306194101_dp, 9.5579295581755197_dp, 9.5068168991111897_dp, &
+         & 9.4491334778140406_dp, 9.3847861621862396_dp, 9.3137919185689402_dp, 9.2362820934988399_dp, &
+         & 9.1525029322121707_dp, 9.0628122452318607_dp, 8.9676723565656200_dp, 8.8676396922515597_dp, &
+         & 8.7633515739576797_dp, 8.6555109443930398_dp, 8.5448698464374395_dp, 8.4322124906165108_dp, &
+         & 8.3183386734680909_dp, 8.2040481662978006_dp, 8.0901265080648699_dp, 7.9773324434204600_dp, &
+         & 7.8663870806416600_dp, 7.7579647265269598_dp, 7.6526852927145201_dp, 7.5511081523843799_dp, &
+         & 7.4537273411069496_dp, 7.3609680221039797_dp, 7.2731841596546101_dp, 7.1906573567019096_dp, &
+         & 7.1135968123303597_dp, 7.0421403447246904_dp, 6.9763564105812499_dp, 6.9162470377013099_dp, &
+         & 6.8617515771481798_dp, 6.8127511764300799_dp, 6.7690738753909496_dp, 6.7305002302936696_dp, &
+         & 6.6967693767651904_dp, 6.6675854466222004_dp, 6.6426242553056802_dp, 6.6215401746364604_dp, &
+         & 6.6039730996000801_dp, 6.5895554084321804_dp, 6.5779188036502596_dp, 6.5687009096111799_dp, &
+         & 6.5615514916829998_dp, 6.5561381552370301_dp, 6.5521513812078798_dp, 6.5493087603204296_dp, &
+         & 6.5473583010413803_dp, 6.5460807069944797_dp, 6.5452905473984400_dp, 6.5448362778096199_dp, &
+         & 6.5445991063222504_dp, 6.5444907402946102_dp, 6.5444500883890901_dp, 6.5444390300787703_dp, &
+         & 6.5444373978951003_dp, 6.5444372756934399_dp, 6.5444351291598402_dp, 6.5444205860783002_dp, &
+         & 6.5443671241631902_dp, 6.5442246142573204_dp, 6.5439127344652404_dp, 6.5433154460172904_dp, &
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+         & 0.0298769403502348_dp, 0.0293017299342679_dp, 0.0286533288109823_dp, 0.0279327696989782_dp, &
+         & 0.0271429075218208_dp, 0.0262884157333900_dp, 0.0253756936550218_dp, 0.0244126868345731_dp, &
+         & 0.0234086293505200_dp, 0.0223737233428025_dp, 0.0213187760972247_dp, 0.0202548181227300_dp, &
+         & 0.0191927264796377_dp, 0.0181428760966611_dp, 0.0171148382389390_dp, 0.0161171402051821_dp, &
+         & 0.0151570944373205_dp, 0.0142406992323245_dp, 0.0133726077807950_dp, 0.0125561578028552_dp, &
+         & 0.0117934509174518_dp, 0.0110854692027189_dp, 0.0104322161179482_dp, 0.0098328698288270_dp, &
+         & 0.0092859386468120_dp, 0.0087894103775525_dp, 0.0083408895564290_dp, 0.0079377186217329_dp, &
+         & 0.0075770809264313_dp, 0.0072560850524255_dp, 0.0069718311274798_dp, 0.0067214607291461_dp, &
+         & 0.0065021925055078_dp, 0.0063113458973873_dp, 0.0061463553851055_dp, 0.0060047775777576_dp, &
+         & 0.0058842932697516_dp, 0.0057827063416553_dp, 0.0056979410976652_dp, 0.0056280393217847_dp, &
+         & 0.0055711580083226_dp, 0.0055255683913273_dp, 0.0054896565734595_dp, 0.0054619257488042_dp, &
+         & 0.0054409997415021_dp, 0.0054256273527571_dp, 0.0054146868386837_dp, 0.0054071897398131_dp, &
+         & 0.0054022832567995_dp, 0.0053992504171276_dp, 0.0053975073979800_dp, 0.0053965975480423_dp, &
+         & 0.0053961818673400_dp, 0.0053960259371877_dp, 0.0053959835209767_dp, 0.0053959772604415_dp, &
+         & 0.0053959767634097_dp, 0.0053959676545787_dp, 0.0053959059412136_dp, 0.0053956790810688_dp, &
+         & 0.0053950743913731_dp, 0.0053937512261442_dp, 0.0053912179091356_dp, 0.0053868146478280_dp, &
+         & 0.0053797037060406_dp, 0.0053688681532904_dp, 0.0053531205004873_dp, 0.0053311224216230_dp, &
+         & 0.0053014164943548_dp, 0.0052624704209023_dp, 0.0052127334807537_dp, 0.0051507040174386_dp, &
+         & 0.0050750056150335_dp, 0.0049844683692939_dp, 0.0048782104455682_dp, 0.0047557141298142_dp, &
+         & 0.0046168900171111_dp, 0.0044621230302795_dp, 0.0042922947405515_dp, 0.0041087780004787_dp, &
+         & 0.0039134021037057_dp, 0.0037083893446805_dp, 0.0034962666505933_dp, 0.0032797585231421_dp, &
+         & 0.0030616694696661_dp, 0.0028447650927390_dp, 0.0026316608556414_dp, 0.0024247262854686_dp, &
+         & 0.0022260103012783_dp, 0.0020371909104426_dp, 0.0018595501379650_dp, 0.0016939729831904_dp, &
+         & 0.0015409674657789_dp, 0.0014007013994473_dp, 0.0012730505338396_dp, 0.0011576524083168_dp, &
+         & 0.0010539608652422_dp, 0.0009612975076152_dp, 0.0008788979172536_dp, 0.0008059515958152_dp, &
+         & 0.0007416351497582_dp, 0.0006851384656841_dp, 0.0006356839157036_dp, 0.0005925391445771_dp, &
+         & 0.0005550245181638_dp, 0.0005225165564795_dp, 0.0004944485325353_dp, 0.0004703090658467_dp, &
+         & 0.0004496392346098_dp, 0.0004320286070865_dp, 0.0004171106045590_dp, 0.0004045576260623_dp, &
+         & 0.0003940763144357_dp, 0.0003854032266588_dp, 0.0003783010470144_dp, 0.0003725553895322_dp, &
+         & 0.0003679721880516_dp, 0.0003643756487151_dp, 0.0003616067241623_dp, 0.0003595220493935_dp, &
+         & 0.0003579932572393_dp, 0.0003569065709712_dp, 0.0003561625578783_dp, 0.0003556759238350_dp, &
+         & 0.0003553752343279_dp, 0.0003552024625861_dp, 0.0003551122876857_dp, 0.0003550710923079_dp, &
+         & 0.0003550556395169_dp, 0.0003550514360811_dp, 0.0003550508156565_dp, 0.0003550507659540_dp, &
+         & 0.0003550498493539_dp, 0.0003550436392672_dp, 0.0003550208111562_dp, 0.0003549599659749_dp, &
+         & 0.0003548268391782_dp, 0.0003545720056835_dp, 0.0003541292241991_dp, 0.0003534145803172_dp, &
+         & 0.0003523266033270_dp, 0.0003507475386400_dp, 0.0003485459476380_dp, 0.0003455807697463_dp, &
+         & 0.0003417069082445_dp, 0.0003367822881231_dp, 0.0003306761807025_dp, 0.0003232784077838_dp, &
+         & 0.0003145088440419_dp, 0.0003043264585898_dp, 0.0002927370039956_dp, 0.0002797984065381_dp, &
+         & 0.0002656229691951_dp, 0.0002503757000198_dp, 0.0002342684493399_dp, 0.0002175500747370_dp, &
+         & 0.0002004934849396_dp, 0.0001833809887799_dp, 0.0001664896769071_dp, 0.0001500784082680_dp, &
+         & 1.3437735193377900e-04_dp, 1.1958020125035800e-04_dp, 1.0583858076529400e-04_dp, 9.3258179539645894e-05_dp, &
+         & 8.1896754281274298e-05_dp, 7.1764883969649404e-05_dp, 6.2830570804806003e-05_dp, 5.5028057381889498e-05_dp, &
+         & 4.8269733234462799e-05_dp, 4.2458544193380001e-05_dp, 3.7497879631587198e-05_dp, 3.3296861587928099e-05_dp, &
+         & 2.9770761145187000e-05_dp, 2.6838054047573199e-05_dp, 2.4416785201708501e-05_dp, 2.2422971625246599e-05_dp, &
+         & 2.0772477462571701e-05_dp, 1.9385888734291301e-05_dp, 1.8194625859280199e-05_dp, 1.7146052229577401e-05_dp, &
+         & 1.6205488371667801e-05_dp, 1.5354252902000098e-05_dp, 1.4584791493632601e-05_dp, 1.3895121448115301e-05_dp, &
+         & 1.3284474356112201e-05_dp, 1.2750900147295901e-05_dp, 1.2290629506139799e-05_dp, 1.1898484068240101e-05_dp, &
+         & 1.1568567039432800e-05_dp, 1.1294761662838900e-05_dp, 1.1070951074998400e-05_dp, 1.0891089019082800e-05_dp, &
+         & 1.0749255402231500e-05_dp, 1.0639745397611500e-05_dp, 1.0557177823500300e-05_dp, 1.0496593560560500e-05_dp, &
+         & 1.0453526385845200e-05_dp, 1.0424043928480799e-05_dp, 1.0404764005045300e-05_dp, 1.0392852914264900e-05_dp, &
+         & 1.0386009748231101e-05_dp, 1.0382438333067500e-05_dp, 1.0380806827470200e-05_dp, 1.0380194844117300e-05_dp, &
+         & 1.0380028378165200e-05_dp, 1.0380003807597399e-05_dp, 1.0380001832288601e-05_dp, 1.0379965289075701e-05_dp, &
+         & 1.0379717735986601e-05_dp, 1.0378807701272299e-05_dp, 1.0376381801791001e-05_dp, 1.0371072463044601e-05_dp, &
+         & 1.0360903246464700e-05_dp, 1.0343215400610000e-05_dp, 1.0314619110829401e-05_dp, 1.0270973710646601e-05_dp, &
+         & 1.0207404685047501e-05_dp, 1.0118371243095200e-05_dp, 9.9978077443552104e-06_dp, 9.8393711169819704e-06_dp, &
+         & 9.6368247994860195e-06_dp, 9.3845643291956498e-06_dp, 9.0782288282298396e-06_dp, 8.7152601224715892e-06_dp, &
+         & 8.2952217042020493e-06_dp, 7.8197523123435497e-06_dp, 7.2922314799939201e-06_dp, 6.7174846165585197e-06_dp, &
+         & 6.1020199026984301e-06_dp, 5.4553152892822297e-06_dp, 4.7924082977601799e-06_dp, 4.1369883021502599e-06_dp, &
+         & 3.5220899192722801e-06_dp, 2.9835510275688602e-06_dp, 2.5435461239453599e-06_dp, 2.1926595366039700e-06_dp, &
+         & 1.8883229486732500e-06_dp, 1.5745854540227800e-06_dp, 1.2068022030575799e-06_dp, 7.8683488169417604e-07_dp, &
+         & 8.3876508938374204e-07_dp, 7.4926679616282896e-07_dp, 5.6357893640779398e-07_dp, 3.4134249204953401e-07_dp, &
+         & 5.1224843389263697e-07_dp, 5.8165417016198304e-07_dp, 5.6347771248965696e-07_dp, 4.3455618481402801e-07_dp, &
+         &  3.7337031955075899e-07_dp, 3.6409868897635502e-07_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & 6.0920214650650503e-07_dp, 7.8510741730042397e-07_dp, 8.3604518863467103e-07_dp, 7.6604933951784904e-07_dp, &
+         &  6.0590885198053002e-07_dp, 3.9832717391163902e-07_dp, 0.0000000000000000e+00_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp, -1.4210854715202001e-14_dp, -7.1054273576010003e-15_dp, -1.4210854715202001e-14_dp, &
+         & -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp, 0.0000000000000000e+00_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp &
+         &]
+      case (47)
+         out = [&
+         & 47.0000000000000000_dp, 46.9999999575351026_dp, 46.9999986444370990_dp, 46.9999897479903979_dp, &
+         & 46.9999570434966998_dp, 46.9998698636746965_dp, 46.9996790643989968_dp, 46.9993136288946971_dp, &
+         & 46.9986780331405996_dp, 46.9976504719931967_dp, 46.9960820192510980_dp, 46.9937967664890976_dp, &
+         & 46.9905929561380020_dp, 46.9862450951691031_dp, 46.9805070080512976_dp, 46.9731157624775975_dp, &
+         & 46.9637963795414990_dp, 46.9522672221047017_dp, 46.9382459410775965_dp, 46.9214558488463993_dp, &
+         & 46.9016325812769992_dp, 46.8785309035080004_dp, 46.8519315089546993_dp, 46.8216476546875029_dp, &
+         & 46.7875314693095987_dp, 46.7494797621222986_dp, 46.7074391561572995_dp, 46.6614103648096972_dp, &
+         & 46.6114514350931017_dp, 46.5576797927241017_dp, 46.5002729475491989_dp, 46.4394677532931013_dp, &
+         & 46.3755581627387983_dp, 46.3088914760279025_dp, 46.2398631420302024_dp, 46.1689102358459991_dp, &
+         & 46.0965037942202969_dp, 46.0231402400877982_dp, 45.9493321637577026_dp, 45.8755987490378985_dp, &
+         & 45.8024561372553976_dp, 45.7304080116484002_dp, 45.6599366613144966_dp, 45.5914947509864987_dp, &
+         & 45.5254979838847973_dp, 45.4623188031575012_dp, 45.4022812358595971_dp, 45.3456569442124007_dp, &
+         & 45.2926625134238989_dp, 45.2434579742888019_dp, 45.1981465321760965_dp, 45.1567754514783033_dp, &
+         & 45.1193380255129028_dp, 45.0857765455448032_dp, 45.0559861683848979_dp, 45.0298195694379970_dp, &
+         & 45.0070922568092016_dp, 44.9875884120806973_dp, 44.9710671147620005_dp, 44.9572688005125016_dp, &
+         & 44.9459217984865020_dp, 44.9367487910463979_dp, 44.9294730401698033_dp, 44.9238242295649002_dp, &
+         & 44.9195437801644033_dp, 44.9163895094320011_dp, 44.9141395217595019_dp, 44.9125952378864994_dp, &
+         & 44.9115834952495021_dp, 44.9109576777886019_dp, 44.9105978621497997_dp, 44.9104099964604018_dp, &
+         & 44.9103241569062988_dp, 44.9102919551750972_dp, 44.9102831954903010_dp, 44.9102819025778999_dp, &
+         & 44.9102817329751005_dp, 44.9102777814323986_dp, 44.9102510091300999_dp, 44.9101525910258985_dp, &
+         & 44.9098902422759991_dp, 44.9093160871980004_dp, 44.9082164684134995_dp, 44.9063040872228001_dp, &
+         & 44.9032128088297995_dp, 44.8984954004175023_dp, 44.8916243969422979_dp, 44.8819962095263989_dp, &
+         & 44.8689385052516982_dp, 44.8517207959790980_dp, 44.8295680787626978_dp, 44.8016772728184023_dp, &
+         & 44.7672360991337968_dp, 44.7254439498272021_dp, 44.6755341964175017_dp, 44.6167972909534001_dp, &
+         & 44.5486039246008971_dp, 44.4704274305423013_dp, 44.3818645611190021_dp, 44.2826537457861988_dp, &
+         & 44.1726899614620976_dp, 44.0520354340647984_dp, 43.9209255479025984_dp, 43.7797695667515967_dp, &
+         & 43.6291460526835024_dp, 43.4697931787913987_dp, 43.3025944334166013_dp, 43.1285604674428029_dp, &
+         & 42.9488080100095004_dp, 42.7645368527060015_dp, 42.5770058771816977_dp, 42.3875089931883977_dp, &
+         & 42.1973516933051016_dp, 42.0078287519496030_dp, 41.8202034313195981_dp, 41.6356884272008969_dp, &
+         & 41.4554287016626972_dp, 41.2804863037845990_dp, 41.1118272615189966_dp, 40.9503106222110986_dp, &
+         & 40.7966797125742033_dp, 40.6515556724950002_dp, 40.5154332884806010_dp, 40.3886791144647006_dp, &
+         & 40.2715318255175987_dp, 40.1641047095685977_dp, 40.0663901678222985_dp, 39.9782660680333990_dp, &
+         & 39.8995037757349991_dp, 39.8297776748634007_dp, 39.7686759782896999_dp, 39.7157126180791025_dp, &
+         & 39.6703399931593026_dp, 39.6319623378443993_dp, 39.5999494587396015_dp, 39.5736505712240998_dp, &
+         & 39.5524079519168978_dp, 39.5355701125272034_dp, 39.5225041956326990_dp, 39.5126072963600024_dp, &
+         & 39.5053164273728967_dp, 39.5001168691078988_dp, 39.4965486831533994_dp, 39.4942112135289989_dp, &
+         & 39.4927654570426014_dp, 39.4919342477539033_dp, 39.4915002691576973_dp, 39.4913019779125989_dp, &
+         & 39.4912275915612980_dp, 39.4912073566268020_dp, 39.4912043699912019_dp, 39.4912041063281976_dp, &
+         & 39.4911989399800021_dp, 39.4911639372008025_dp, 39.4910352631263990_dp, 39.4906922640950029_dp, &
+         & 39.4899416130553007_dp, 39.4885040033338015_dp, 39.4860039154278013_dp, 39.4819629139369965_dp, &
+         & 39.4757968536953996_dp, 39.4668172846350984_dp, 39.4542372423546013_dp, 39.4371814941845003_dp, &
+         & 39.4147011777182001_dp, 39.3857926205646010_dp, 39.3494199686645985_dp, 39.3045410804902033_dp, &
+         & 39.2501359730991979_dp, 39.1852369430782019_dp, 39.1089593425428035_dp, 39.0205318800748984_dp, &
+         & 38.9193252509190017_dp, 38.8048778904812011_dp, 38.6769176982519980_dp, 38.5353787008707016_dp, &
+         & 38.3804118152224021_dp, 38.2123891335025974_dp, 38.0319014746704980_dp, 37.8397493139706000_dp, &
+         & 37.6369275844075020_dp, 37.4246051972201030_dp, 37.2041004000032984_dp, 36.9768532341297984_dp, &
+         & 36.7443963444152004_dp, 36.5083252480539002_dp, 36.2702689381266978_dp, 36.0318614499938974_dp, &
+         & 35.7947148193044029_dp, 35.5603937408222990_dp, 35.3303921938341006_dp, 35.1061123020031971_dp, &
+         & 34.8888457046157967_dp, 34.6797577024326031_dp, 34.4798743922104975_dp, 34.2900729233508983_dp, &
+         & 34.1110749124279025_dp, 33.9434429536973994_dp, 33.7875800802930968_dp, 33.6437319699219017_dp, &
+         & 33.5119916524838999_dp, 33.3923064622311969_dp, 33.2844869779718024_dp, 33.1882177045244973_dp, &
+         & 33.1030692606857002_dp, 33.0285118482478026_dp, 32.9639297797512967_dp, 32.9086368380473999_dp, &
+         & 32.8618922284668997_dp, 32.8229168658012966_dp, 32.7909097158647000_dp, 32.7650638882585028_dp, &
+         & 32.7445821566445971_dp, 32.7286915689409028_dp, 32.7166568057117004_dp, 32.7077919533632979_dp, &
+         & 32.7014703814825012_dp, 32.6971324515731965_dp, 32.6942908372013008_dp, 32.6925333015814985_dp, &
+         & 32.6915228552598975_dp, 32.6909953002329985_dp, 32.6907542534757027_dp, 32.6906638281094004_dp, &
+         & 32.6906392301790021_dp, 32.6906355995745983_dp, 32.6906353083551977_dp, 32.6906299338803024_dp, &
+         & 32.6905935210132981_dp, 32.6904596633347992_dp, 32.6901028469283972_dp, 32.6893219579701011_dp, &
+         & 32.6878264431118026_dp, 32.6852256705079967_dp, 32.6810219702299989_dp, 32.6746077529051036_dp, &
+         & 32.6652670134556971_dp, 32.6521814209503987_dp, 32.6344410738945001_dp, 32.6110598614899985_dp, &
+         & 32.5809952155806002_dp, 32.5431718673182004_dp, 32.4965090418751998_dp, 32.4399503414753028_dp, &
+         & 32.3724953921740024_dp, 32.2932321759638015_dp, 32.2013688509707023_dp, 32.0962637926824002_dp, &
+         & 31.9774525805751004_dp, 31.8446707161246998_dp, 31.6978709942626011_dp, 31.5372346592797008_dp, &
+         & 31.3631757499564010_dp, 31.1763383625427011_dp, 30.9775869130370012_dp, 30.7679898356665014_dp, &
+         & 30.5487974830641988_dp, 30.3214152659200984_dp, 30.0873732606711002_dp, 29.8482936065117990_dp, &
+         & 29.6058570033005992_dp, 29.3617695190919008_dp, 29.1177307416078008_dp, 28.8754040915120989_dp, &
+         & 28.6363898883473986_dp, 28.4022015495697993_dp, 28.1742451274281009_dp, 27.9538022548290002_dp, &
+         & 27.7420164774821991_dp, 27.5398828869296999_dp, 27.3482409268867990_dp, 27.1677702145366986_dp, &
+         & 26.9989891935005986_dp, 26.8422564143663003_dp, 26.6977742227402999_dp, 26.5655946254432997_dp, &
+         & 26.4456271036562001_dp, 26.3376481469269983_dp, 26.2413122917281996_dp, 26.1561644593731017_dp, &
+         & 26.0816533969652014_dp, 26.0171460285772014_dp, 25.9619425200436993_dp, 25.9152918489999990_dp, &
+         & 25.8764076529064013_dp, 25.8444841038550983_dp, 25.8187115329920012_dp, 25.7982915030984010_dp, &
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+         & 0.8321615995146490_dp, 0.8319337507418400_dp, 0.8315862029483010_dp, 0.8310803335881120_dp, &
+         & 0.8303721492005560_dp, 0.8294129757030430_dp, 0.8281504362841120_dp, 0.8265297070607220_dp, &
+         & 0.8244950266851350_dp, 0.8219914201861510_dp, 0.8189665804413200_dp, 0.8153728341998060_dp, &
+         & 0.8111691052862970_dp, 0.8063227774836790_dp, 0.8008113555126850_dp, 0.7946238259921610_dp, &
+         & 0.7877616320521950_dp, 0.7802391951824110_dp, 0.7720839446468299_dp, 0.7633358460837700_dp, &
+         & 0.7540464536829670_dp, 0.7442775412154180_dp, 0.7340993929846820_dp, 0.7235888539369530_dp, &
+         & 0.7128272472071090_dp, 0.7018982669934960_dp, 0.6908859457146900_dp, 0.6798727787115910_dp, &
+         & 0.6689380696906750_dp, 0.6581565381989950_dp, 0.6475972090121400_dp, 0.6373225842620660_dp, &
+         & 0.6273880836710860_dp, 0.6178417269909530_dp, 0.6087240257042840_dp, 0.6000680478407360_dp, &
+         & 0.5918996197292120_dp, 0.5842376308714560_dp, 0.5770944120973880_dp, 0.5704761620456080_dp, &
+         & 0.5643834022221480_dp, 0.5588114459825420_dp, 0.5537508714406700_dp, 0.5491879923295290_dp, &
+         & 0.5451053241065510_dp, 0.5414820450559930_dp, 0.5382944537900940_dp, 0.5355164254107340_dp, &
+         & 0.5331198687185720_dp, 0.5310751863145600_dp, 0.5293517383211390_dp, 0.5279183088687840_dp, &
+         & 0.5267435725826600_dp, 0.5257965562202640_dp, 0.5250470885297460_dp, 0.5244662295059900_dp, &
+         & 0.5240266687036200_dp, 0.5237030812925810_dp, 0.5234724302509480_dp, 0.5233142035706140_dp, &
+         & 0.5232105766326640_dp, 0.5231464919506050_dp, 0.5231096511730799_dp, 0.5230904174169519_dp, &
+         & 0.5230816294576360_dp, 0.5230783328073160_dp, 0.5230774360400759_dp, 0.5230773036791661_dp, &
+         & 0.5230772935114840_dp, 0.5230771114675220_dp, 0.5230758780938700_dp, 0.5230713440967210_dp, &
+         & 0.5230592582389310_dp, 0.5230328092129570_dp, 0.5229821583795060_dp, 0.5228940830866620_dp, &
+         & 0.5227517486031200_dp, 0.5225346246884470_dp, 0.5222185603003811_dp, 0.5217760266634029_dp, &
+         & 0.5211765346402120_dp, 0.5203872268407320_dp, 0.5193736380569900_dp, 0.5181006094743950_dp, &
+         & 0.5165333329497490_dp, 0.5146384919868440_dp, 0.5123854566558920_dp, 0.5097474815723541_dp, &
+         & 0.5067028502561540_dp, 0.5032359067717070_dp, 0.4993379173240910_dp, 0.4950077108839110_dp, &
+         & 0.4902520588340450_dp, 0.4850857683900930_dp, 0.4795314819060580_dp, 0.4736191924988020_dp, &
+         & 0.4673855038893390_dp, 0.4608726772320110_dp, 0.4541275185983410_dp, 0.4472001668459530_dp, &
+         & 0.4401428426089420_dp, 0.4330086154782360_dp, 0.4258502389730770_dp, 0.4187190928237070_dp, &
+         & 0.4116642606881980_dp, 0.4047317599310600_dp, 0.3979639295064740_dp, 0.3913989730252040_dp, &
+         & 0.3850706471437420_dp, 0.3790080806104040_dp, 0.3732357065254770_dp, 0.3677732893538990_dp, &
+         & 0.3626360286181050_dp, 0.3578347226170490_dp, 0.3533759776032500_dp, 0.3492624502880160_dp, &
+         & 0.3454931140757790_dp, 0.3420635418553890_dp, 0.3389662003571130_dp, 0.3361907529228180_dp, &
+         & 0.3337243689746860_dp, 0.3315520394735500_dp, 0.3296568982232200_dp, 0.3280205490103260_dp, &
+         & 0.3266233983017980_dp, 0.3254449925956640_dp, 0.3244643586055100_dp, 0.3236603433333440_dp, &
+         & 0.3230119498551360_dp, 0.3224986634179100_dp, 0.3221007613522670_dp, 0.3217995994567100_dp, &
+         & 0.3215778670210130_dp, 0.3214198026105280_dp, 0.3213113631858700_dp, 0.3212403400972970_dp, &
+         & 0.3211964169402040_dp, 0.3211711661147450_dp, 0.3211579830904870_dp, 0.3211519596994140_dp, &
+         & 0.3211497001242170_dp, 0.3211490854655990_dp, 0.3211489947432970_dp, 0.3211489877210170_dp, &
+         & 0.3211488613005360_dp, 0.3211480047836590_dp, 0.3211448561445640_dp, 0.3211364630865670_dp, &
+         & 0.3211180953777700_dp, 0.3210829201420680_dp, 0.3210217536288550_dp, 0.3209229017217720_dp, &
+         & 0.3207720999505740_dp, 0.3205525619333120_dp, 0.3202451428596480_dp, 0.3198286216793990_dp, &
+         & 0.3192801019619650_dp, 0.3185755268762880_dp, 0.3176902984474030_dp, 0.3165999853438780_dp, &
+         & 0.3152810972641120_dp, 0.3137118979921140_dp, 0.3118732239820260_dp, 0.3097492715631130_dp, &
+         & 0.3073283141669020_dp, 0.3046033118746510_dp, 0.3015723793385160_dp, 0.2982390847119020_dp, &
+         & 0.2946125612438880_dp, 0.2907074239348190_dp, 0.2865434951455510_dp, 0.2821453542123610_dp, &
+         & 0.2775417358884130_dp, 0.2727648099419890_dp, 0.2678493789234580_dp, 0.2628320327643440_dp, &
+         & 0.2577502976427010_dp, 0.2526418128940550_dp, 0.2475435643146400_dp, 0.2424911957294570_dp, &
+         & 0.2375184138884020_dp, 0.2326564952076780_dp, 0.2279338970248260_dp, 0.2233759711504110_dp, &
+         & 0.2190047736937260_dp, 0.2148389624170050_dp, 0.2108937711603790_dp, 0.2071810500594250_dp, &
+         & 0.2037093602058420_dp, 0.2004841119235290_dp, 0.1975077367980160_dp, 0.1947798848609920_dp, &
+         & 0.1922976397695070_dp, 0.1900557463120260_dp, 0.1880468460195030_dp, 0.1862617179651520_dp, &
+         & 0.1846895229222200_dp, 0.1833180498538810_dp, 0.1821339641926730_dp, 0.1811230575145330_dp, &
+         & 0.1802704980343180_dp, 0.1795610808826140_dp, 0.1789794764284590_dp, 0.1785104740694830_dp, &
+         & 0.1781392180166180_dp, 0.1778514307593180_dp, 0.1776336192112140_dp, 0.1774732581007970_dp, &
+         & 0.1773589450597370_dp, 0.1772805221208740_dp, 0.1772291589830460_dp, 0.1771973944100220_dp, &
+         & 0.1771791334530950_dp, 0.1771695997382490_dp, 0.1771652437395300_dp, 0.1771636096595870_dp, &
+         & 0.1771631651507450_dp, 0.1771630995421770_dp, 0.1771630944226390_dp, 0.1771630017247860_dp, &
+         & 0.1771623736836220_dp, 0.1771600649441110_dp, 0.1771539107402230_dp, 0.1771404426590880_dp, &
+         & 0.1771146506057380_dp, 0.1770698009289900_dp, 0.1769973197691710_dp, 0.1768867496213530_dp, &
+         & 0.1767257857916180_dp, 0.1765003977540120_dp, 0.1761950382795310_dp, 0.1757929405149600_dp, &
+         & 0.1752764998890230_dp, 0.1746277338436430_dp, 0.1738288080478940_dp, 0.1728626131800510_dp, &
+         & 0.1717133718935030_dp, 0.1703672516341540_dp, 0.1688129560183850_dp, 0.1670422659626710_dp, &
+         & 0.1650505020540080_dp, 0.1628368819870470_dp, 0.1604047512906350_dp, 0.1577616718130340_dp, &
+         & 0.1549193600983260_dp, 0.1518934762504930_dp, 0.1487032724239160_dp, 0.1453711179572750_dp, &
+         & 0.1419219247184530_dp, 0.1383825009461010_dp, 0.1347808644715440_dp, 0.1311455466246090_dp, &
+         & 0.1275049165170610_dp, 0.1238865520578050_dp, 0.1203166793759250_dp, 0.1168196967586180_dp, &
+         & 0.1134177932226880_dp, 0.1101306659066100_dp, 0.1069753350287710_dp, 0.1039660505490620_dp, &
+         & 0.1011142810985960_dp, 0.0984287732838283_dp, 0.0959156680967155_dp, 0.0935786607903637_dp, &
+         & 0.0914191910876028_dp, 0.0894366518226519_dp, 0.0876286058770219_dp, 0.0859910033413982_dp, &
+         & 0.0845183929979285_dp, 0.0832041242910364_dp, 0.0820405378021718_dp, 0.0810191437762597_dp, &
+         & 0.0801307894110579_dp, 0.0793658163884245_dp, 0.0787142104982195_dp, 0.0781657452003586_dp, &
+         & 0.0777101206350821_dp, 0.0773370989868098_dp, 0.0770366363161230_dp, 0.0767990100852529_dp, &
+         & 0.0766149407124530_dp, 0.0764757046929674_dp, 0.0763732362039065_dp, 0.0763002137373761_dp, &
+         & 0.0762501282273789_dp, 0.0762173293705999_dp, 0.0761970473810010_dp, 0.0761853882223846_dp, &
+         & 0.0761793013726546_dp, 0.0761765203050899_dp, 0.0761754770410548_dp, 0.0761751932489148_dp, &
+         & 0.0761751513618307_dp, 0.0761751480655022_dp, 0.0761750880236320_dp, 0.0761746812317980_dp, &
+         & 0.0761731858310455_dp, 0.0761691997117282_dp, 0.0761604765425545_dp, 0.0761437719920721_dp, &
+         & 0.0761147269011460_dp, 0.0760677937576446_dp, 0.0759962123211864_dp, 0.0758920395574947_dp, &
+         & 0.0757462380573628_dp, 0.0755488257169148_dp, 0.0752890875404830_dp, 0.0749558479356196_dp, &
+         & 0.0745377988065670_dp, 0.0740238752119140_dp, 0.0734036665281792_dp, 0.0726678472495479_dp, &
+         & 0.0718086081326916_dp, 0.0708200657947415_dp, 0.0696986275171625_dp, 0.0684432882600632_dp, &
+         & 0.0670558389829381_dp, 0.0655409693495628_dp, 0.0639062536030934_dp, 0.0621620154555202_dp, &
+         & 0.0603210756729879_dp, 0.0583983939478969_dp, 0.0564106238536439_dp, 0.0543756054348279_dp, &
+         & 0.0523118236932660_dp, 0.0502378625414792_dp, 0.0481718826807480_dp, 0.0461311485925151_dp, &
+         & 0.0441316248853454_dp, 0.0421876561735388_dp, 0.0403117380461140_dp, 0.0385143800850827_dp, &
+         & 0.0368040558966314_dp, 0.0351872302913137_dp, 0.0336684504815921_dp, 0.0322504865612459_dp, &
+         & 0.0309345063689932_dp, 0.0297202707212634_dp, 0.0286063365467371_dp, 0.0275902574244284_dp, &
+         & 0.0266687732864384_dp, 0.0258379834640508_dp, 0.0250934996376699_dp, 0.0244305773713123_dp, &
+         & 0.0238442266049219_dp, 0.0233293026905699_dp, 0.0228805803451309_dp, 0.0224928133425664_dp, &
+         & 0.0221607829598796_dp, 0.0218793381629823_dp, 0.0216434302933379_dp, 0.0214481446155119_dp, &
+         & 0.0212887305468072_dp, 0.0211606317592228_dp, 0.0210595166754857_dp, 0.0209813092244531_dp, &
+         & 0.0209222191249694_dp, 0.0208787704742193_dp, 0.0208478270613810_dp, 0.0208266126386007_dp, &
+         & 0.0208127243714245_dp, 0.0208041378596917_dp, 0.0207992024481101_dp, 0.0207966260027561_dp, &
+         & 0.0207954488685118_dp, 0.0207950072953196_dp, 0.0207948871777006_dp, 0.0207948694486149_dp, &
+         & 0.0207948680410723_dp, 0.0207948422458983_dp, 0.0207946674804020_dp, 0.0207940250324228_dp, &
+         & 0.0207923125673446_dp, 0.0207885652108786_dp, 0.0207813898450908_dp, 0.0207689157980155_dp, &
+         & 0.0207487650897988_dp, 0.0207180453468538_dp, 0.0206733683372491_dp, 0.0206108967234755_dp, &
+         & 0.0205264209737805_dp, 0.0204154673322776_dp, 0.0202734362648656_dp, 0.0200957688674634_dp, &
+         & 0.0198781364160965_dp, 0.0196166457069111_dp, 0.0193080503206176_dp, 0.0189499557612365_dp, &
+         & 0.0185410049123362_dp, 0.0180810297597276_dp, 0.0175711561082537_dp, 0.0170138502019412_dp, &
+         & 0.0164128997041075_dp, 0.0157733261861281_dp, 0.0151012317124284_dp, 0.0144035877281681_dp, &
+         & 0.0136879795582843_dp, 0.0129623236655121_dp, 0.0122345767723075_dp, 0.0115124557659669_dp, &
+         & 0.0108031852258037_dp, 0.0101132860892008_dp, 0.0094484150900200_dp, 0.0088132604566269_dp, &
+         & 0.0082114948431879_dp, 0.0076457815671773_dp, 0.0071178256129798_dp, 0.0066284578634992_dp, &
+         & 0.0061777406981705_dp, 0.0057650851649029_dp, 0.0053893726903738_dp, 0.0050490758943838_dp, &
+         & 0.0047423730967395_dp, 0.0044672508469290_dp, 0.0042215899372238_dp, 0.0040032331984747_dp, &
+         & 0.0038100365637490_dp, 0.0036399066997248_dp, 0.0034908283681432_dp, 0.0033608834171162_dp, &
+         & 0.0032482622332495_dp, 0.0031512683615134_dp, 0.0030683175816932_dp, 0.0029979332813710_dp, &
+         & 0.0029387400076857_dp, 0.0028894566662316_dp, 0.0028488902884760_dp, 0.0028159308526909_dp, &
+         & 0.0027895473809707_dp, 0.0027687853902236_dp, 0.0027527656650577_dp, 0.0027406841975690_dp, &
+         & 0.0027318130043596_dp, 0.0027255014083352_dp, 0.0027211772914697_dp, 0.0027183477948256_dp, &
+         & 0.0027165989688171_dp, 0.0027155939498868_dp, 0.0027150693503444_dp, 0.0027148296817714_dp, &
+         & 0.0027147397779217_dp, 0.0027147153222700_dp, 0.0027147117126844_dp, 0.0027147114235007_dp, &
+         & 0.0027147060906572_dp, 0.0027146699601275_dp, 0.0027145371437598_dp, 0.0027141831295481_dp, &
+         & 0.0027134085071552_dp, 0.0027119255070431_dp, 0.0027093481039486_dp, 0.0027051864846541_dp, &
+         & 0.0026988467223461_dp, 0.0026896365085491_dp, 0.0026767777309544_dp, 0.0026594265143842_dp, &
+         & 0.0026367010272637_dp, 0.0026077168795311_dp, 0.0025716293018618_dp, 0.0025276805323742_dp, &
+         & 0.0024752500080751_dp, 0.0024139041502451_dp, 0.0023434418536468_dp, 0.0022639313570636_dp, &
+         & 0.0021757341301054_dp, 0.0020795119457588_dp, 0.0019762146469375_dp, 0.0018670483436836_dp, &
+         & 0.0017534264996684_dp, 0.0016369085849348_dp, 0.0015191317144954_dp, 0.0014017398838817_dp, &
+         & 0.0012863138467409_dp, 0.0011743035882574_dp, 0.0010669665805807_dp, 0.0009653196406632_dp, &
+         & 0.0008701158613462_dp, 0.0007818523659040_dp, 0.0007008013634149_dp, 0.0006270478968631_dp, &
+         & 0.0005605178970072_dp, 0.0005009877407858_dp, 0.0004480857964921_dp, 0.0004013195810444_dp, &
+         & 0.0003601442360832_dp, 0.0003240278222023_dp, 0.0002924787486904_dp, 0.0002649875602998_dp, &
+         & 0.0002413559307755_dp, 0.0002210650170653_dp, 0.0002035696066685_dp, 0.0001885157976034_dp, &
+         & 0.0001755828205887_dp, 0.0001645017121561_dp, 0.0001550331069780_dp, 0.0001469592021977_dp, &
+         & 0.0001400860273932_dp, 0.0001344058864490_dp, 0.0001297257339488_dp, 0.0001258184713819_dp, &
+         & 0.0001225827100200_dp, 0.0001199293135059_dp, 0.0001177796598313_dp, 0.0001160631223840_dp, &
+         & 0.0001147153349024_dp, 0.0001136774522479_dp, 0.0001128960091421_dp, 0.0001123229473166_dp, &
+         & 0.0001119156177296_dp, 0.0001116367409182_dp, 0.0001114543401215_dp, 0.0001113416366962_dp, &
+         & 0.0001112768795082_dp, 0.0001112430808874_dp, 0.0001112276404101_dp, 0.0001112218485488_dp, &
+         & 0.0001112202730482_dp, 0.0001112200405089_dp, 0.0001112200217506_dp, 0.0001112196741815_dp, &
+         & 0.0001112173193363_dp, 0.0001112086629433_dp, 0.0001111855901428_dp, 0.0001111351058896_dp, &
+         & 0.0001110384608296_dp, 0.0001108705142059_dp, 0.0001105993906449_dp, 0.0001101864957960_dp, &
+         & 0.0001095869745242_dp, 0.0001087507456106_dp, 0.0001076243891376_dp, 0.0001061545930412_dp, &
+         & 1.0429512671095200e-04_dp, 1.0201783462804300e-04_dp, 9.9300908658506200e-05_dp, 9.6103308955264297e-05_dp, &
+         & 9.2396682958906199e-05_dp, 8.8184592250684104e-05_dp, 8.3507016100270394e-05_dp, 7.8440944044189096e-05_dp, &
+         & 7.3063565288578007e-05_dp, 6.7429394064788499e-05_dp, 6.1613205637911506e-05_dp, 5.5780880387601401e-05_dp, &
+         & 5.0128209679201097e-05_dp, 4.4610480749440699e-05_dp, 3.9266023996731299e-05_dp, 3.4215334736131802e-05_dp, &
+         & 2.9766037741296700e-05_dp, 2.5625105138260598e-05_dp, 2.1807356112901699e-05_dp, 1.8734346184601199e-05_dp, &
+         & 1.5996388547989699e-05_dp, 1.3524177028045900e-05_dp, 1.1267067343112600e-05_dp, 9.4029350279356499e-06_dp, &
+         & 8.1136818650406894e-06_dp, 6.9321075173434102e-06_dp, 5.8508750981900397e-06_dp, 4.8731568682569602e-06_dp, &
+         & 4.0267675416316698e-06_dp, 3.3417453906281501e-06_dp, 2.7169522383019301e-06_dp, 2.2328608153543398e-06_dp, &
+         & 1.9186179045505001e-06_dp, 1.6723164719678601e-06_dp, 1.4830733618964599e-06_dp, 1.2707724934557499e-06_dp, &
+         &  9.8104036538870808e-07_dp, 6.3335588862401003e-07_dp, 0.0000000000000000e+00_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp, 0.0000000000000000e+00_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -1.4210854715202001e-14_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -1.4210854715202001e-14_dp, &
+         & -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -1.4210854715202001e-14_dp, &
+         & -7.1054273576010003e-15_dp &
+         &]
+      case (48)
+         out = [&
+         & 48.0000000000000000_dp, 47.9999999562444017_dp, 47.9999986032360013_dp, 47.9999894363899031_dp, &
+         & 47.9999557378723978_dp, 47.9998659082945025_dp, 47.9996693098201987_dp, 47.9992927671136016_dp, &
+         & 47.9986378525764010_dp, 47.9975790583747965_dp, 47.9959629306398980_dp, 47.9936082119690965_dp, &
+         & 47.9903070081130991_dp, 47.9858269647507001_dp, 47.9799144117801006_dp, 47.9722984066912019_dp, &
+         & 47.9626955862324991_dp, 47.9508157172279965_dp, 47.9363678231061030_dp, 47.9190667520069979_dp, &
+         & 47.8986400443546003_dp, 47.8748349513210982_dp, 47.8474254494633016_dp, 47.8162190900255979_dp, &
+         & 47.7810635136753987_dp, 47.7418524533045030_dp, 47.6985310405436991_dp, 47.6511002282082998_dp, &
+         & 47.5996201439699007_dp, 47.5442122031043013_dp, 47.4850598325180968_dp, 47.4224076954927014_dp, &
+         & 47.3565593561307026_dp, 47.2878733819242996_dp, 47.2167579481634974_dp, 47.1436640739010997_dp, &
+         & 47.0690776803452025_dp, 46.9935107137219035_dp, 46.9174916118265983_dp, 46.8415554142812027_dp, &
+         & 46.7662338203739978_dp, 46.6920454864501977_dp, 46.6194868296932015_dp, 46.5490235701966029_dp, &
+         & 46.4810832022166025_dp, 46.4160485419600022_dp, 46.3542524561991982_dp, 46.2959738356423998_dp, &
+         & 46.2414348407058000_dp, 46.1907994157396971_dp, 46.1441730408567992_dp, 46.1016036678215002_dp, &
+         & 46.0630837673268019_dp, 46.0285533986254976_dp, 45.9979041982399011_dp, 45.9709841718096968_dp, &
+         & 45.9476031617601990_dp, 45.9275388533105016_dp, 45.9105431725381976_dp, 45.8963489231133011_dp, &
+         & 45.8846765033676007_dp, 45.8752405431198014_dp, 45.8677563006617035_dp, 45.8619456650125983_dp, &
+         & 45.8575426173165965_dp, 45.8542980182632007_dp, 45.8519836056278010_dp, 45.8503951071828979_dp, &
+         & 45.8493543988303003_dp, 45.8487106651463989_dp, 45.8483405487411986_dp, 45.8481473049154005_dp, &
+         & 45.8480590079987991_dp, 45.8480258844183979_dp, 45.8480168739675022_dp, 45.8480155440426032_dp, &
+         & 45.8480153695845019_dp, 45.8480113049199005_dp, 45.8479837661999028_dp, 45.8478825306622966_dp, &
+         & 45.8476126716648977_dp, 45.8470220805696016_dp, 45.8458909847538010_dp, 45.8439238644544034_dp, &
+         & 45.8407441123437991_dp, 45.8358917125136998_dp, 45.8288241405628014_dp, 45.8189206043357018_dp, &
+         & 45.8054896562709999_dp, 45.7877801142175969_dp, 45.7649951291878025_dp, 45.7363091371420012_dp, &
+         & 45.7008873289061981_dp, 45.6579071689322973_dp, 45.6065813911541014_dp, 45.5461818006038968_dp, &
+         & 45.4760631162684987_dp, 45.3956860101544990_dp, 45.3046384395926012_dp, 45.2026543479020972_dp, &
+         & 45.0896288380763011_dp, 44.9656290192344983_dp, 44.8308998943434034_dp, 44.6858648977431017_dp, &
+         & 44.5311209863193014_dp, 44.3674285093993035_dp, 44.1956963910210021_dp, 44.0169634138417010_dp, &
+         & 43.8323765636014002_dp, 43.6431674588669978_dp, 43.4506278541405990_dp, 43.2560850851507013_dp, &
+         & 43.0608781558318015_dp, 42.8663349839291996_dp, 42.6737511583930029_dp, 42.4843704374692024_dp, &
+         & 42.2993671382429994_dp, 42.1198305302141023_dp, 41.9467513329161008_dp, 41.7810104139091010_dp, &
+         & 41.6233697747935025_dp, 41.4744658914434012_dp, 41.3348054394108004_dp, 41.2047633906445014_dp, &
+         & 41.0845834200775002_dp, 40.9743805167966002_dp, 40.8741456588272030_dp, 40.7837523845090004_dp, &
+         & 40.7029650759158983_dp, 40.6314487580486983_dp, 40.5687802083750029_dp, 40.5144601619012974_dp, &
+         & 40.4679263855220981_dp, 40.4285673812870030_dp, 40.3957364619978989_dp, 40.3687659256409006_dp, &
+         & 40.3469810396618982_dp, 40.3297135344310007_dp, 40.3163142998621993_dp, 40.3061649823088999_dp, &
+         & 40.2986881923069973_dp, 40.2933560586354034_dp, 40.2896969008312027_dp, 40.2872998402145015_dp, &
+         & 40.2858172272497015_dp, 40.2849648285212965_dp, 40.2845197869469018_dp, 40.2843164408942016_dp, &
+         & 40.2842401583033975_dp, 40.2842194075451019_dp, 40.2842163447751034_dp, 40.2842160743906987_dp, &
+         & 40.2842107763434001_dp, 40.2841748812829010_dp, 40.2840429270897005_dp, 40.2836911844751029_dp, &
+         & 40.2829213983665966_dp, 40.2814471428869965_dp, 40.2788833282877974_dp, 40.2747393290963984_dp, &
+         & 40.2684161228893984_dp, 40.2592077374575013_dp, 40.2463071990511025_dp, 40.2288170541933994_dp, &
+         & 40.2057644011348998_dp, 40.1761202145997984_dp, 40.1388225812468988_dp, 40.0928032879236014_dp, &
+         & 40.0370170277831008_dp, 39.9704723206905967_dp, 39.8922630961146965_dp, 39.8015997719476005_dp, &
+         & 39.6978385942899976_dp, 39.5805079926651970_dp, 39.4493307615436990_dp, 39.3042410087248015_dp, &
+         & 39.1453950167079014_dp, 38.9731754425277970_dp, 38.7881886248665992_dp, 38.5912551533610966_dp, &
+         & 38.3833942479762982_dp, 38.1658028465474999_dp, 37.9398305516572023_dp, 37.7069517010803992_dp, &
+         & 37.4687357861901020_dp, 37.2268172769460008_dp, 36.9828656806605025_dp, 36.7385564357920984_dp, &
+         & 36.4955430762624005_dp, 36.2554310163044988_dp, 36.0197532854722979_dp, 35.7899485519701983_dp, &
+         & 35.5673417722100993_dp, 35.3531277710590999_dp, 35.1483579848340995_dp, 34.9539304974840022_dp, &
+         & 34.7705833873803982_dp, 34.5988912959658990_dp, 34.4392650436863974_dp, 34.2919540597910029_dp, &
+         & 34.1570513608646991_dp, 34.0345008037932999_dp, 33.9241063451922003_dp, 33.8255430535434982_dp, &
+         & 33.7383696356227034_dp, 33.6620422501055998_dp, 33.5959293853060998_dp, 33.5393275734543010_dp, &
+         & 33.4914777010598002_dp, 33.4515816553532019_dp, 33.4188190231901032_dp, 33.3923635344430991_dp, &
+         & 33.3713989204844026_dp, 33.3551338435623990_dp, 33.3428155481268007_dp, 33.3337418932612977_dp, &
+         & 33.3272714482870001_dp, 33.3228313721401008_dp, 33.3199228509393990_dp, 33.3181239356214007_dp, &
+         & 33.3170896999201034_dp, 33.3165497246460021_dp, 33.3163030029644034_dp, 33.3162104487362996_dp, &
+         & 33.3161852717037021_dp, 33.3161815556251000_dp, 33.3161812575496015_dp, 33.3161757565449008_dp, &
+         & 33.3161384864207974_dp, 33.3160014773772986_dp, 33.3156362606111998_dp, 33.3148369877853980_dp, &
+         & 33.3133062660597972_dp, 33.3106442697893002_dp, 33.3063416194692010_dp, 33.2997764369355025_dp, &
+         & 33.2902158918859996_dp, 33.2768224465334015_dp, 33.2586648806056004_dp, 33.2347340365969970_dp, &
+         & 33.2039630651956017_dp, 33.1652517753488993_dp, 33.1174945074345004_dp, 33.0596107594012025_dp, &
+         & 32.9905776154346029_dp, 32.9094628679384016_dp, 32.8154576010160994_dp, 32.7079069317829010_dp, &
+         & 32.5863375976013998_dp, 32.4504811422118991_dp, 32.3002915962417987_dp, 32.1359567660555996_dp, &
+         & 31.9579025306662992_dp, 31.7667898834755000_dp, 31.5635048211108007_dp, 31.3491415472304986_dp, &
+         & 31.1249797935293984_dp, 30.8924573327205998_dp, 30.6531389437569999_dp, 30.4086831726920011_dp, &
+         & 30.1608082114222000_dp, 29.9112581033433003_dp, 29.6617703039810010_dp, 29.4140454071450996_dp, &
+         & 29.1697196246490016_dp, 28.9303404057315987_dp, 28.6973454164103998_dp, 28.4720449733434009_dp, &
+         & 28.2556079365452995_dp, 28.0490510007005014_dp, 27.8532312755876994_dp, 27.6688420049285000_dp, &
+         & 27.4964112367058995_dp, 27.3363032273291005_dp, 27.1887223394426982_dp, 27.0537191810559001_dp, &
+         & 26.9311987326267008_dp, 26.8209302171936983_dp, 26.7225584831139997_dp, 26.6356166849611000_dp, &
+         & 26.5595400612151984_dp, 26.4936806140060988_dp, 26.4373224942082992_dp, 26.3896978841508982_dp, &
+         & 26.3500031511246995_dp, 26.3174150200938008_dp, 26.2911064868830984_dp, 26.2702621675061003_dp, &
+         & 26.2540927593412015_dp, 26.2418482794420989_dp, 26.2328297476920014_dp, 26.2263990001655003_dp, &
+         & 26.2219863521616006_dp, 26.2190958807647014_dp, 26.2173081619850983_dp, 26.2162803747564013_dp, &
+         & 26.2157437695241988_dp, 26.2154985884093996_dp, 26.2154066122251983_dp, 26.2153815924461995_dp, &
+         & 26.2153778995783000_dp, 26.2153776147487996_dp, 26.2153725001249001_dp, 26.2153378477906003_dp, &
+         & 26.2152104620713011_dp, 26.2148708979552012_dp, 26.2141277673601998_dp, 26.2127045725164010_dp, &
+         & 26.2102295907852003_dp, 26.2062292711722016_dp, 26.2001255285582992_dp, 26.1912372357521015_dp, &
+         & 26.1787861136895010_dp, 26.1619071042021005_dp, 26.1396631761482006_dp, 26.1110643641559008_dp, &
+         & 26.0750906717842987_dp, 26.0307182923402998_dp, 25.9769484187518991_dp, 25.9128377396071983_dp, &
+         & 25.8375295649026988_dp, 25.7502844066567995_dp, 25.6505087705758008_dp, 25.5377809077122002_dp, &
+         & 25.4118723382539997_dp, 25.2727640969843996_dp, 25.1206568595024002_dp, 24.9559743817276001_dp, &
+         & 24.7793600080702987_dp, 24.5916663555378001_dp, 24.3939386361440995_dp, 24.1873924083274012_dp, &
+         & 23.9733868182301997_dp, 23.7533945753960012_dp, 23.5289699857526990_dp, 23.3017163338913988_dp, &
+         & 23.0732537807840004_dp, 22.8451887518506993_dp, 22.6190855710271990_dp, 22.3964408838446012_dp, &
+         & 22.1786612297447014_dp, 21.9670439791130008_dp, 21.7627617392911006_dp, 21.5668502450810990_dp, &
+         & 21.3801996721552996_dp, 21.2035492402292007_dp, 21.0374849066096985_dp, 20.8824398938407008_dp, &
+         & 20.7386977531106993_dp, 20.6063976420643016_dp, 20.4855414929736988_dp, 20.3760027628770004_dp, &
+         & 20.2775364865955012_dp, 20.1897903902533002_dp, 20.1123168605001013_dp, 20.0445855972396991_dp, &
+         & 19.9859968009169009_dp, 19.9358947567167988_dp, 19.8935816766653986_dp, 19.8583316476074998_dp, &
+         & 19.8294045108492014_dp, 19.8060594714821008_dp, 19.7875682063299010_dp, 19.7732272136419986_dp, &
+         & 19.7623691294982002_dp, 19.7543727291972999_dp, 19.7486713395505014_dp, 19.7447594116220984_dp, &
+         & 19.7421970432684013_dp, 19.7406122956060983_dp, 19.7397012147340014_dp, 19.7392255459948984_dp, &
+         & 19.7390082084675988_dp, 19.7389266775685996_dp, 19.7389044991788012_dp, 19.7389012256946010_dp, &
+         & 19.7389009778362983_dp, 19.7388965870504016_dp, 19.7388668388319992_dp, 19.7387574812562008_dp, &
+         & 19.7384659742775987_dp, 19.7378280192371989_dp, 19.7366062622838001_dp, 19.7344816269344996_dp, &
+         & 19.7310476789411986_dp, 19.7258083660817007_dp, 19.7181794046164995_dp, 19.7074935004268994_dp, &
+         & 19.6930094936727009_dp, 19.6739253992032985_dp, 19.6493951803446016_dp, 19.6185489426332005_dp, &
+         & 19.5805160708146992_dp, 19.5344506642050000_dp, 19.4795584624237996_dp, 19.4151243079783988_dp, &
+         & 19.3405390779322985_dp, 19.2553249476069013_dp, 19.1591578369032014_dp, 19.0518859430817002_dp, &
+         & 18.9335433867232013_dp, 18.8043581885551987_dp, 18.6647540463816988_dp, 18.5153456802654013_dp, &
+         & 18.3569278421097017_dp, 18.1904584205936999_dp, 18.0170363892327003_dp, 17.8378756186737988_dp, &
+         & 17.6542757804038004_dp, 17.4675916885861007_dp, 17.2792024479441011_dp, 17.0904816966737982_dp, &
+         & 16.9027700637018015_dp, 16.7173507193427007_dp, 16.5354286157266017_dp, 16.3581137202942983_dp, &
+         & 16.1864082729922991_dp, 16.0211978705029985_dp, 15.8632460147996994_dp, 15.7131916640979004_dp, &
+         & 15.5715492879850999_dp, 15.4387109441404995_dp, 15.3149499466238002_dp, 15.2004257694248999_dp, &
+         & 15.0951899096604993_dp, 14.9991925114848001_dp, 14.9122896171442996_dp, 14.8342509617892997_dp, &
+         & 14.7647682625207004_dp, 14.7034639704057994_dp, 14.6499004586052006_dp, 14.6035896125306994_dp, &
+         & 14.5640027714262992_dp, 14.5305809472475005_dp, 14.5027452184948000_dp, 14.4799071660912997_dp, &
+         & 14.4614791879270008_dp, 14.4468845009191007_dp, 14.4355666169577006_dp, 14.4269980644711993_dp, &
+         & 14.4206881227605006_dp, 14.4161893434141000_dp, 14.4131026529659998_dp, 14.4110808634869993_dp, &
+         & 14.4098304620298006_dp, 14.4091116037714002_dp, 14.4087362945150002_dp, 14.4085648125104999_dp, &
+         & 14.4085004836731994_dp, 14.4084829846682005_dp, 14.4084804018516000_dp, 14.4084802079587995_dp, &
+         & 14.4084767952248001_dp, 14.4084536734526001_dp, 14.4083686754143994_dp, 14.4081421021748000_dp, &
+         & 14.4076462538218006_dp, 14.4066966511889998_dp, 14.4050453038869009_dp, 14.4023763403034994_dp, &
+         & 14.3983042689109997_dp, 14.3923750855015999_dp, 14.3840703754807997_dp, 14.3728144815618997_dp, &
+         & 14.3579847131139005_dp, 14.3389244632505992_dp, 14.3149589747328001_dp, 14.2854133597758999_dp, &
+         & 14.2496323387922992_dp, 14.2070010288917992_dp, 14.1569659970004995_dp, 14.0990557084995007_dp, &
+         & 14.0328994637396995_dp, 13.9582439326502996_dp, 13.8749664782696005_dp, 13.7830846032085006_dp, &
+         & 13.6827610509047002_dp, 13.5743043304166005_dp, 13.4581646875302994_dp, 13.3349257907378007_dp, &
+         & 13.2052926132656996_dp, 13.0700761516166999_dp, 12.9301757153163006_dp, 12.7865595506424992_dp, &
+         & 12.6402445325227006_dp, 12.4922755909332999_dp, 12.3437054518498996_dp, 12.1955751868804008_dp, &
+         & 12.0488959921896992_dp, 11.9046325589480997_dp, 11.7636883482464007_dp, 11.6268930320016004_dp, &
+         & 11.4949922967184008_dp, 11.3686401233004002_dp, 11.2483935559928003_dp, 11.1347098674817993_dp, &
+         & 11.0279459302236003_dp, 10.9283595306871000_dp, 10.8361123227899991_dp, 10.7512741113510000_dp, &
+         & 10.6738281807452005_dp, 10.6036774282533006_dp, 10.5406511144087993_dp, 10.4845120937375000_dp, &
+         & 10.4349644312679999_dp, 10.3916613390308008_dp, 10.3542133813435004_dp, 10.3221968990189996_dp, &
+         & 10.2951625930380004_dp, 10.2726441906276005_dp, 10.2541670942016001_dp, 10.2392568893471996_dp, &
+         & 10.2274475649116994_dp, 10.2182892789739999_dp, 10.2113554914893001_dp, 10.2062492796541004_dp, &
+         & 10.2026086570069001_dp, 10.2001107327011997_dp, 10.1984745732400999_dp, 10.1974626643728996_dp, &
+         & 10.1968809141758996_dp, 10.1965771872510000_dp, 10.1964384117061009_dp, 10.1963863521751996_dp, &
+         & 10.1963721907173994_dp, 10.1963701005157006_dp, 10.1963699440808000_dp, 10.1963671970046992_dp, &
+         & 10.1963485851612994_dp, 10.1962801660762992_dp, 10.1960977860707995_dp, 10.1956986526760005_dp, &
+         & 10.1949342674883994_dp, 10.1936050046576998_dp, 10.1914565878215004_dp, 10.1881786805735999_dp, &
+         & 10.1834057612070996_dp, 10.1767203997839992_dp, 10.1676589927199998_dp, 10.1557199355864007_dp, &
+         & 10.1403741281852007_dp, 10.1210776080323992_dp, 10.0972860019349007_dp, 10.0684703752574993_dp, &
+         & 10.0341339517689008_dp, 9.9938290825286593_dp, 9.9471737702969207_dp, 9.8938670168726297_dp, &
+         & 9.8337022641510003_dp, 9.7665782526981904_dp, 9.6925067274589392_dp, 9.6116165765272097_dp, &
+         & 9.5241541866779400_dp, 9.4304800223892205_dp, 9.3310616609110806_dp, 9.2264637185236609_dp, &
+         & 9.1173352574103497_dp, 9.0043953501221896_dp, 8.8884174927445301_dp, 8.7702135061587203_dp, &
+         & 8.6506174673666099_dp, 8.5304700966866100_dp, 8.4106039175586993_dp, 8.2918294212589405_dp, &
+         & 8.1749224146681296_dp, 8.0606126999919905_dp, 7.9495742189837300_dp, 7.8424167777713203_dp, &
+         & 7.7396794424615498_dp, 7.6418256568149197_dp, 7.5492400837236699_dp, 7.4622271181064397_dp, &
+         & 7.3810109676409601_dp, 7.3057371561175000_dp, 7.2364752764486102_dp, 7.1732228080352902_dp, &
+         & 7.1159098151833602_dp, 7.0644043565625401_dp, 7.0185184561942400_dp, 6.9780145097524002_dp, &
+         & 6.9426120220589400_dp, 6.9119945893758503_dp, 6.8858170513492301_dp, 6.8637127413181700_dp, &
+         & 6.8453007603459097_dp, 6.8301931909155398_dp, 6.8180021526602301_dp, 6.8083465871856497_dp, &
+         & 6.8008586446274304_dp, 6.7951895336653898_dp, 6.7910146915709602_dp, 6.7880381332369701_dp, &
+         & 6.7859958490650900_dp, 6.7846581412904001_dp, 6.7838308162070398_dp, 6.7833551844745203_dp, &
+         & 6.7831068612770800_dp, 6.7829934002274603_dp, 6.7829508370496301_dp, 6.7829392588312798_dp, &
+         & 6.7829375499104501_dp, 6.7829374219634602_dp, 6.7829351745105697_dp, 6.7829199476879500_dp, &
+         & 6.7828639722976103_dp, 6.7827147626146704_dp, 6.7823882216665696_dp, 6.7817628597293496_dp, &
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+         & 0.0904203013423981_dp, 0.0890459184381882_dp, 0.0874883941463338_dp, 0.0857470277908519_dp, &
+         & 0.0838251281924798_dp, 0.0817301434929050_dp, 0.0794736180389748_dp, 0.0770709702640104_dp, &
+         & 0.0745410974465699_dp, 0.0719058253753673_dp, 0.0691892320877514_dp, 0.0664168838028729_dp, &
+         & 0.0636150269722577_dp, 0.0608097823951965_dp, 0.0580263854257197_dp, 0.0552885107307901_dp, &
+         & 0.0526177115828190_dp, 0.0500329933287063_dp, 0.0475505296672480_dp, 0.0451835198463684_dp, &
+         & 0.0429421758343764_dp, 0.0408338215979143_dp, 0.0388630821727034_dp, 0.0370321382497067_dp, &
+         & 0.0353410222565245_dp, 0.0337879339397702_dp, 0.0323695567012550_dp, 0.0310813598570547_dp, &
+         & 0.0299178760904013_dp, 0.0288729472803908_dp, 0.0279399353536220_dp, 0.0271118976793687_dp, &
+         & 0.0263817287549557_dp, 0.0257422715184177_dp, 0.0251864026347235_dp, 0.0247070966109675_dp, &
+         & 0.0242974736906731_dp, 0.0239508362425553_dp, 0.0236606978680385_dp, 0.0234208087684138_dp, &
+         & 0.0232251800951744_dp, 0.0230681091073990_dp, 0.0229442060324061_dp, 0.0228484226242003_dp, &
+         & 0.0227760815931504_dp, 0.0227229053946942_dp, 0.0226850423599956_dp, 0.0226590878658399_dp, &
+         & 0.0226420981920654_dp, 0.0226315949030607_dp, 0.0226255579915389_dp, 0.0226224065963976_dp, &
+         & 0.0226209667930846_dp, 0.0226204266885475_dp, 0.0226202797684678_dp, 0.0226202580834354_dp, &
+         & 0.0226202563618187_dp, 0.0226202248108791_dp, 0.0226200110494688_dp, 0.0226192252521713_dp, &
+         & 0.0226171306994019_dp, 0.0226125473004117_dp, 0.0226037713764455_dp, 0.0225885157074543_dp, &
+         & 0.0225638738877336_dp, 0.0225263130399256_dp, 0.0224716987965579_dp, 0.0223953560445054_dp, &
+         & 0.0222921680959587_dp, 0.0221567155749725_dp, 0.0219834543070050_dp, 0.0217669288658300_dp, &
+         & 0.0215020152640477_dp, 0.0211841827948973_dp, 0.0208097615897032_dp, 0.0203761995004612_dp, &
+         & 0.0198822899563993_dp, 0.0193283519623151_dp, 0.0187163447820495_dp, 0.0180499032527095_dp, &
+         & 0.0173342850020788_dp, 0.0165762276793657_dp, 0.0157837219621584_dp, 0.0149657136697385_dp, &
+         & 0.0141317548263373_dp, 0.0132916281011219_dp, 0.0124549710752575_dp, 0.0116309259918026_dp, &
+         & 0.0108278371924655_dp, 0.0100530128910208_dp, 0.0093125611116847_dp, 0.0086113024821941_dp, &
+         & 0.0079527560055652_dp, 0.0073391886309011_dp, 0.0067717158173082_dp, 0.0062504384698343_dp, &
+         & 0.0057746015081861_dp, 0.0053427606033267_dp, 0.0049529458544058_dp, 0.0046028139070273_dp, &
+         & 0.0042897828048325_dp, 0.0040111464034922_dp, 0.0037641672830873_dp, 0.0035461487130703_dp, &
+         & 0.0033544873682061_dp, 0.0031867092103965_dp, 0.0030404913004247_dp, 0.0029136723584102_dp, &
+         & 0.0028042547368301_dp, 0.0027104001907432_dp, 0.0026304214979476_dp, 0.0025627716441008_dp, &
+         & 0.0025060319685579_dp, 0.0024589003700939_dp, 0.0024201803998523_dp, 0.0023887718169675_dp, &
+         & 0.0023636629513320_dp, 0.0023439250057038_dp, 0.0023287082389558_dp, 0.0023172398052580_dp, &
+         & 0.0023088228851051_dp, 0.0023028366405242_dp, 0.0022987364623930_dp, 0.0022960539597676_dp, &
+         & 0.0022943961685087_dp, 0.0022934435287425_dp, 0.0022929462883638_dp, 0.0022927191233037_dp, &
+         & 0.0022926339104146_dp, 0.0022926107308621_dp, 0.0022926073096201_dp, 0.0022926070355211_dp, &
+         & 0.0022926019808480_dp, 0.0022925677350187_dp, 0.0022924418473096_dp, 0.0022921063047150_dp, &
+         & 0.0022913721190747_dp, 0.0022899666064120_dp, 0.0022875240992093_dp, 0.0022835808952593_dp, &
+         & 0.0022775753034807_dp, 0.0022688536688591_dp, 0.0022566832022619_dp, 0.0022402722663770_dp, &
+         & 0.0022187984344058_dp, 0.0021914441199797_dp, 0.0021574388757770_dp, 0.0021161066114175_dp, &
+         & 0.0020669150691717_dp, 0.0020095240406803_dp, 0.0019438281645989_dp, 0.0018699898741659_dp, &
+         & 0.0017884583076366_dp, 0.0016999708339895_dp, 0.0016055352705990_dp, 0.0015063927597652_dp, &
+         & 0.0014039633886753_dp, 0.0012997786624425_dp, 0.0011954065239621_dp, 0.0010923754586543_dp, &
+         & 0.0009921041791472_dp, 0.0008958424906211_dp, 0.0008046274140980_dp, 0.0007192567979928_dp, &
+         & 0.0006402807582617_dp, 0.0005680095452334_dp, 0.0005025349624077_dp, 0.0004437614069630_dp, &
+         & 0.0003914421529032_dp, 0.0003452167975340_dp, 0.0003046467547136_dp, 0.0002692469306140_dp, &
+         & 0.0002385127628131_dp, 0.0002119423376357_dp, 0.0001890534127043_dp, 0.0001693952398867_dp, &
+         & 0.0001525554186586_dp, 0.0001381625736698_dp, 0.0001258861181839_dp, 0.0001154344235701_dp, &
+         & 1.0655233196388300e-04_dp, 9.9018399211558999e-05_dp, 9.2641878346455501e-05_dp, 8.7259384841331693e-05_dp, &
+         & 8.2731320595996695e-05_dp, 7.8938288361030104e-05_dp, 7.5777772636342902e-05_dp, 7.3161278002942294e-05_dp, &
+         & 7.1011976615409394e-05_dp, 6.9262810519887794e-05_dp, 6.7854958253121795e-05_dp, 6.6736590135008100e-05_dp, &
+         & 6.5861865365946000e-05_dp, 6.5190144425741905e-05_dp, 6.4685395294361597e-05_dp, 6.4315767737355104e-05_dp, &
+         & 6.4053301542799104e-05_dp, 6.3873729423846699e-05_dp, 6.3756333560149896e-05_dp, 6.3683817195681099e-05_dp, &
+         & 6.3642158018239998e-05_dp, 6.3620417009246894e-05_dp, 6.3610485383946993e-05_dp, 6.3606760015488803e-05_dp, &
+         & 6.3605746646544503e-05_dp, 6.3605597084404094e-05_dp, 6.3605584998072104e-05_dp, 6.3605360729468403e-05_dp, &
+         & 6.3603841311987694e-05_dp, 6.3598256048180701e-05_dp, 6.3583369801278904e-05_dp, 6.3550801939982193e-05_dp, &
+         & 6.3488470118500104e-05_dp, 6.3380198156437500e-05_dp, 6.3205533471943895e-05_dp, 6.2939825582475405e-05_dp, &
+         & 6.2554621095500806e-05_dp, 6.2018428785393098e-05_dp, 6.1297897843814994e-05_dp, 6.0359428864842398e-05_dp, &
+         & 5.9171198465435302e-05_dp, 5.7705521548712100e-05_dp, 5.5941402678172401e-05_dp, 5.3867046581501702e-05_dp, &
+         & 5.1482024446158903e-05_dp, 4.8798754534118402e-05_dp, 4.5842984476962597e-05_dp, 4.2653087220401203e-05_dp, &
+         & 3.9278209655435603e-05_dp, 3.5775598867360299e-05_dp, 3.2207645148218897e-05_dp, 2.8639107902961300e-05_dp, &
+         & 2.5134508270241400e-05_dp, 2.1755032122427999e-05_dp, 1.8554089947997502e-05_dp, 1.5571363931599101e-05_dp, &
+         & 1.2826676062616101e-05_dp, 1.0316926932318900e-05_dp, 8.0201978036598104e-06_dp, 5.9077652210248701e-06_dp, &
+         & 3.9563296070355102e-06_dp, 2.1387816246942701e-06_dp, 0.0000000000000000e+00_dp, 1.3657247635023899e-06_dp, &
+         & 1.6300483167697200e-06_dp, 1.5125998018561400e-06_dp, 1.2271108715822299e-06_dp, 9.1528661272377597e-07_dp, &
+         & 6.8518875195877595e-07_dp, 5.7494270322422402e-07_dp, 4.5343812615783500e-07_dp, 4.3561131946034900e-07_dp, &
+         & 7.2057735422959002e-07_dp, 9.4307785047931205e-07_dp, 1.0141013504494399e-06_dp, 9.3342024598541705e-07_dp, &
+         & 7.3900401531545899e-07_dp, 4.8601739877085503e-07_dp, 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, &
+         & 7.1054273576010003e-15_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, &
+         & 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, &
+         & 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 7.1054273576010003e-15_dp, 0.0000000000000000e+00_dp, &
+         & 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 7.1054273576010003e-15_dp, 0.0000000000000000e+00_dp, &
+         & 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, 7.1054273576010003e-15_dp, 0.0000000000000000e+00_dp, &
+         & 7.1054273576010003e-15_dp &
+         &]
+      case (49)
+         out = [&
+         & 49.0000000000000000_dp, 48.9999999549600034_dp, 48.9999985622344028_dp, 48.9999891262980967_dp, &
+         & 48.9999544385692971_dp, 48.9998619720637976_dp, 48.9996596024653002_dp, 48.9992720063212985_dp, &
+         & 48.9985978664959987_dp, 48.9975079903458024_dp, 48.9958444181523021_dp, 48.9934205692264015_dp, &
+         & 48.9900224419667012_dp, 48.9854108533222004_dp, 48.9793246738483035_dp, 48.9714849880149004_dp, &
+         & 48.9616000865340979_dp, 48.9493711787294998_dp, 48.9344986984009012_dp, 48.9166890657551008_dp, &
+         & 48.8956617598148000_dp, 48.8711565490187994_dp, 48.8429407212007973_dp, 48.8108161467984019_dp, &
+         & 48.7746260006813017_dp, 48.7342609590204034_dp, 48.6896646798082031_dp, 48.6408383715880035_dp, &
+         & 48.5878442578117031_dp, 48.5308077571636005_dp, 48.4699182256295984_dp, 48.4054281451563000_dp, &
+         & 48.3376506957800984_dp, 48.2669557104833018_dp, 48.1937640804435006_dp, 48.1185407472802993_dp, &
+         & 48.0417864825168976_dp, 47.9640287073680014_dp, 47.8858116439829971_dp, 47.8076861100052994_dp, &
+         & 47.7301992712919017_dp, 47.6538846542129022_dp, 47.5792526919028020_dp, 47.5067820418215021_dp, &
+         & 47.4369118689384024_dp, 47.3700352435162984_dp, 47.3064937579146019_dp, 47.2465734253409977_dp, &
+         & 47.1905018864144026_dp, 47.1384469173246998_dp, 47.0905162062086973_dp, 47.0467583415713975_dp, &
+         & 47.0071649374174001_dp, 46.9716738034011030_dp, 46.9401730540393984_dp, 46.9125060383057999_dp, &
+         & 46.8884769594362965_dp, 46.8678570444560023_dp, 46.8503911139382012_dp, 46.8358043952006966_dp, &
+         & 46.8238094170004970_dp, 46.8141128213863027_dp, 46.8064219292622994_dp, 46.8004509009168999_dp, &
+         & 46.7959263416415965_dp, 46.7925922158075025_dp, 46.7902139503411973_dp, 46.7885816301920983_dp, &
+         & 46.7875122135935015_dp, 46.7868507229774977_dp, 46.7864703974018994_dp, 46.7862718232666026_dp, &
+         & 46.7861810908413034_dp, 46.7861470536101010_dp, 46.7861377946234001_dp, 46.7861364280150980_dp, &
+         & 46.7861362487449028_dp, 46.7861320719644027_dp, 46.7861037736427008_dp, 46.7859997457290007_dp, &
+         & 46.7857224432807968_dp, 46.7851155623693984_dp, 46.7839532695833995_dp, 46.7819318974185023_dp, &
+         & 46.7786644596801011_dp, 46.7736782722358981_dp, 46.7664158876513980_dp, 46.7562394679627005_dp, &
+         & 46.7424386287465978_dp, 46.7242416906426001_dp, 46.7008301727247996_dp, 46.6713562569641027_dp, &
+         & 46.6349628458416987_dp, 46.5908057273209977_dp, 46.5380772543450973_dp, 46.4760308420257005_dp, &
+         & 46.4040054886614968_dp, 46.3214494435065021_dp, 46.2279420853952985_dp, 46.1232130560995017_dp, &
+         & 46.0071577266675007_dp, 45.8798481782855987_dp, 45.7415390591459001_dp, 45.5926679318570010_dp, &
+         & 45.4338500342713019_dp, 45.2658677086472991_dp, 45.0896550691442997_dp, 44.9062787341047027_dp, &
+         & 44.7169156142402002_dp, 44.5228288040468030_dp, 44.3253425752670012_dp, 44.1258173407276999_dp, &
+         & 43.9256252796566997_dp, 43.7261271301051977_dp, 43.5286504927427984_dp, 43.3344698726028028_dp, &
+         & 43.1447886157458029_dp, 42.9607228675572017_dp, 42.7832876719380977_dp, 42.6133853279890005_dp, &
+         & 42.4517961090147011_dp, 42.2991714210586025_dp, 42.1560294353864009_dp, 42.0227531773893972_dp, &
+         & 41.8995910013899007_dp, 41.7866593340034029_dp, 41.6839475323768980_dp, 41.5913246786776014_dp, &
+         & 41.5085481167748966_dp, 41.4352735276352035_dp, 41.3710663327729975_dp, 41.3154142070496988_dp, &
+         & 41.2677404713161025_dp, 41.2274181213135975_dp, 41.1937842325931030_dp, 41.1661544636100984_dp, &
+         & 41.1438373628785996_dp, 41.1261481736692005_dp, 41.1124218238055974_dp, 41.1020247909499972_dp, &
+         & 41.0943655472274969_dp, 41.0889033122725991_dp, 41.0851548811454990_dp, 41.0826993425106011_dp, &
+         & 41.0811805615725021_dp, 41.0803073692867997_dp, 41.0798514714378982_dp, 41.0796431650263969_dp, &
+         & 41.0795650216277011_dp, 41.0795437646838977_dp, 41.0795406272020003_dp, 41.0795403502219969_dp, &
+         & 41.0795349229362969_dp, 41.0794981522671989_dp, 41.0793629792458006_dp, 41.0790026564306032_dp, &
+         & 41.0782140928322974_dp, 41.0767038764783976_dp, 41.0740775264463025_dp, 41.0698324555946002_dp, &
+         & 41.0633550436312973_dp, 41.0539221264466008_dp, 41.0407071000864008_dp, 41.0227907145632003_dp, &
+         & 40.9991764927090969_dp, 40.9688105526401998_dp, 40.9306054413271028_dp, 40.8834674060448009_dp, &
+         & 40.8263263477417979_dp, 40.7581675259722971_dp, 40.6780639314657009_dp, 40.5852081233436977_dp, &
+         & 40.4789422571256026_dp, 40.3587850194605977_dp, 40.2244542462752008_dp, 40.0758841399177967_dp, &
+         & 39.9132362209142997_dp, 39.7369034479107981_dp, 39.5475073024867996_dp, 39.3458880375129993_dp, &
+         & 39.1330886867170022_dp, 38.9103337751537026_dp, 38.6790039010425986_dp, 38.4406074424780968_dp, &
+         & 38.1967505761710981_dp, 37.9491066180431034_dp, 37.6993854733954024_dp, 37.4493037858820017_dp, &
+         & 37.2005562441531978_dp, 36.9547884503104029_dp, 36.7135717506521999_dp, 36.4783804372691023_dp, &
+         & 36.2505717140462025_dp, 36.0313687645154985_dp, 35.8218471627763009_dp, 35.6229247472651025_dp, &
+         & 35.4353549509266017_dp, 35.2597234689448982_dp, 35.0964480589630980_dp, 34.9457812134422028_dp, &
+         & 34.8078154177033028_dp, 34.6824907041500978_dp, 34.5696042250285984_dp, 34.4688215846751973_dp, &
+         & 34.3796896905648026_dp, 34.3016508955146975_dp, 34.2340582081210982_dp, 34.1761913437946987_dp, &
+         & 34.1272733751652027_dp, 34.0864877200039018_dp, 34.0529951799639008_dp, 34.0259507178492981_dp, &
+         & 34.0045196385663004_dp, 33.9878928232043975_dp, 33.9753006603256011_dp, 33.9660253263947993_dp, &
+         & 33.9594110903410993_dp, 33.9548723563664012_dp, 33.9518992139367981_dp, 33.9500603327495014_dp, &
+         & 33.9490031205750000_dp, 33.9484511494918024_dp, 33.9481989468215986_dp, 33.9481043364846968_dp, &
+         & 33.9480786001405974_dp, 33.9480748015087030_dp, 33.9480744968115005_dp, 33.9480688736013008_dp, &
+         & 33.9480307755165995_dp, 33.9478907228061999_dp, 33.9475173927689013_dp, 33.9467003643865013_dp, &
+         & 33.9451356391784032_dp, 33.9424145122317000_dp, 33.9380162954884028_dp, 33.9313053122113999_dp, &
+         & 33.9215324857238016_dp, 33.9078417349529033_dp, 33.8892812618899981_dp, 33.8648196703286004_dp, &
+         & 33.8333666911578987_dp, 33.7937981093010009_dp, 33.7449842961411974_dp, 33.6858215571779027_dp, &
+         & 33.6152653189370980_dp, 33.5323640155909999_dp, 33.4362924095158007_dp, 33.3263830063633009_dp, &
+         & 33.2021542176493014_dp, 33.0633339923257026_dp, 32.9098777880670994_dp, 32.7419799811590977_dp, &
+         & 32.5600781114914994_dp, 32.3648497088984968_dp, 32.1572018243247015_dp, 31.9382537637066015_dp, &
+         & 31.7093138610666010_dp, 31.4718513986700010_dp, 31.2274649612904014_dp, 30.9778485850178988_dp, &
+         & 30.7247570292796013_dp, 30.4699713790712998_dp, 30.2152659995522015_dp, 29.9623776495181993_dp, &
+         & 29.7129773448323000_dp, 29.4686453710130003_dp, 29.2308496881045983_dp, 29.0009278517070008_dp, &
+         & 28.7800724845977989_dp, 28.5693202633955003_dp, 28.3695443251329991_dp, 28.1814499445781017_dp, &
+         & 28.0055732844861005_dp, 27.8422829808184993_dp, 27.6917842972344985_dp, 27.5541255703532997_dp, &
+         & 27.4292066692019993_dp, 27.3167892058771997_dp, 27.2165082548256017_dp, 27.1278853596026011_dp, &
+         & 27.0503426233489002_dp, 26.9832176886799004_dp, 26.9257794121593008_dp, 26.8772440277481017_dp, &
+         & 26.8367915739516008_dp, 26.8035823334930008_dp, 26.7767730058145013_dp, 26.7555323056694014_dp, &
+         & 26.7390556598055014_dp, 26.7265786622579995_dp, 26.7173889504916993_dp, 26.7108361819987010_dp, &
+         & 26.7063398252154016_dp, 26.7033945296355988_dp, 26.7015729062288010_dp, 26.7005256278854013_dp, &
+         & 26.6999788467318986_dp, 26.6997290161997007_dp, 26.6996352958658001_dp, 26.6996098016365018_dp, &
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+         & 1.1257752446294900_dp, 1.1229092403782199_dp, 1.1194438970447800_dp, 1.1153229833978500_dp, &
+         & 1.1104972937227200_dp, 1.1049267270897301_dp, 1.0985821621141900_dp, 1.0914470238903899_dp, &
+         & 1.0835184517027301_dp, 1.0748079961823200_dp, 1.0653418014614899_dp, 1.0551602592568601_dp, &
+         & 1.0443171546458501_dp, 1.0328783542778299_dp, 1.0209201137862001_dp, 1.0085270998495499_dp, &
+         & 0.9957902323220150_dp, 0.9828044529103220_dp, 0.9696665198940270_dp, 0.9564729150611631_dp, &
+         & 0.9433179315212999_dp, 0.9302919916088970_dp, 0.9174802247260840_dp, 0.9049613172881480_dp, &
+         & 0.8928066320030650_dp, 0.8810795820895270_dp, 0.8698352378374420_dp, 0.8591201379241510_dp, &
+         & 0.8489722756972070_dp, 0.8394212306882810_dp, 0.8304884173771681_dp, 0.8221874261484600_dp, &
+         & 0.8145244350061350_dp, 0.8074986745343080_dp, 0.8011029324897760_dp, 0.7953240880322170_dp, &
+         & 0.7901436687466800_dp, 0.7855384261543960_dp, 0.7814809272493760_dp, 0.7779401606908110_dp, &
+         & 0.7748821566168260_dp, 0.7722706186525630_dp, 0.7700675656382930_dp, 0.7682339790122870_dp, &
+         & 0.7667304498006260_dp, 0.7655178169787930_dp, 0.7645577867901709_dp, 0.7638135206612450_dp, &
+         & 0.7632501778659130_dp, 0.7628353982630290_dp, 0.7625397104206471_dp, 0.7623368513467030_dp, &
+         & 0.7622039858912470_dp, 0.7621218166146090_dp, 0.7620745783935799_dp, 0.7620499160616350_dp, &
+         & 0.7620386477016230_dp, 0.7620344205609650_dp, 0.7620332706771790_dp, 0.7620331009567850_dp, &
+         & 0.7620330879192210_dp, 0.7620328544924670_dp, 0.7620312729926870_dp, 0.7620254592439371_dp, &
+         & 0.7620099620144740_dp, 0.7619760471645090_dp, 0.7619110979231110_dp, 0.7617981561340910_dp, &
+         & 0.7616156269045720_dp, 0.7613371662497670_dp, 0.7609317678710500_dp, 0.7603640608953700_dp, &
+         & 0.7595948249883760_dp, 0.7585817225241980_dp, 0.7572802393478780_dp, 0.7556448161756610_dp, &
+         & 0.7536301421441610_dp, 0.7511925710055180_dp, 0.7482916097944990_dp, 0.7448914204968200_dp, &
+         & 0.7409622684643220_dp, 0.7364818481525079_dp, 0.7314364180839590_dp, 0.7258216832648831_dp, &
+         & 0.7196433745715110_dp, 0.7129174902556340_dp, 0.7056701835075569_dp, 0.6979373003332510_dp, &
+         & 0.6897635920000700_dp, 0.6812016441527859_dp, 0.6723105788540590_dp, 0.6631545951871870_dp, &
+         & 0.6538014181953360_dp, 0.6443207249372160_dp, 0.6347826109532090_dp, 0.6252561514637160_dp, &
+         & 0.6158081003668771_dp, 0.6065017577869370_dp, 0.5973960246594250_dp, 0.5885446515183830_dp, &
+         & 0.5799956789142370_dp, 0.5717910591131240_dp, 0.5639664430514060_dp, 0.5565511128934020_dp, &
+         & 0.5495680387826520_dp, 0.5430340382096190_dp, 0.5369600175182681_dp, 0.5313512770997730_dp, &
+         & 0.5262078644398610_dp, 0.5215249620946379_dp, 0.5172933006016360_dp, 0.5134995890674010_dp, &
+         & 0.5101269585354870_dp, 0.5071554151009890_dp, 0.5045623010162640_dp, 0.5023227626896730_dp, &
+         & 0.5004102245200530_dp, 0.4987968669810880_dp, 0.4974541063576510_dp, 0.4963530721617460_dp, &
+         & 0.4954650766694190_dp, 0.4947620693935240_dp, 0.4942170678224470_dp, 0.4938045545898010_dp, &
+         & 0.4935008305545450_dp, 0.4932843131904930_dp, 0.4931357702855830_dp, 0.4930384802557630_dp, &
+         & 0.4929783123447390_dp, 0.4929437225067230_dp, 0.4929256637075530_dp, 0.4929174125417930_dp, &
+         & 0.4929143172525630_dp, 0.4929134752595770_dp, 0.4929133509831940_dp, 0.4929133413637030_dp, &
+         & 0.4929131681860000_dp, 0.4929119948822280_dp, 0.4929076817028390_dp, 0.4928961844225060_dp, &
+         & 0.4928710232725920_dp, 0.4928228380662820_dp, 0.4927390479873420_dp, 0.4926036327543390_dp, &
+         & 0.4923970497930200_dp, 0.4920962995151610_dp, 0.4916751476316250_dp, 0.4911045094314300_dp, &
+         & 0.4903529959805720_dp, 0.4893876161555110_dp, 0.4881746213774680_dp, 0.4866804720714410_dp, &
+         & 0.4848728966461660_dp, 0.4827220057735030_dp, 0.4802014176885340_dp, 0.4772893449665720_dp, &
+         & 0.4739695905769210_dp, 0.4702324016399190_dp, 0.4660751336347890_dp, 0.4615026858668120_dp, &
+         & 0.4565276804260850_dp, 0.4511703708605030_dp, 0.4454582822055500_dp, 0.4394255995093270_dp, &
+         & 0.4331123361803080_dp, 0.4265633251188700_dp, 0.4198270837305740_dp, 0.4129546080216070_dp, &
+         & 0.4059981509582190_dp, 0.3990100364706350_dp, 0.3920415535841140_dp, 0.3851419660746630_dp, &
+         & 0.3783576627850490_dp, 0.3717314632739030_dp, 0.3653020836547190_dp, 0.3591037589624830_dp, &
+         & 0.3531660115849960_dp, 0.3475135504083800_dp, 0.3421662823469230_dp, 0.3371394166901500_dp, &
+         & 0.3324436429352960_dp, 0.3280853641486350_dp, 0.3240669700715910_dp, 0.3203871368271290_dp, &
+         & 0.3170411429006990_dp, 0.3140211938264980_dp, 0.3113167505161560_dp, 0.3089148582868550_dp, &
+         & 0.3068004752904370_dp, 0.3049568001636440_dp, 0.3033655993033760_dp, 0.3020075342359970_dp, &
+         & 0.3008624891470080_dp, 0.2999098978392780_dp, 0.2991290682930550_dp, 0.2984995017270150_dp, &
+         & 0.2980012017373500_dp, 0.2976149678622020_dp, 0.2973226669170690_dp, 0.2971074747963910_dp, &
+         & 0.2969540812354130_dp, 0.2968488503369850_dp, 0.2967799305088550_dp, 0.2967373088015750_dp, &
+         & 0.2967128064112710_dp, 0.2967000142045320_dp, 0.2966941693965310_dp, 0.2966919768164620_dp, &
+         & 0.2966913803823910_dp, 0.2966912923500120_dp, 0.2966912854806980_dp, 0.2966911611003770_dp, &
+         & 0.2966903184060430_dp, 0.2966872205821360_dp, 0.2966789629946620_dp, 0.2966608918405310_dp, &
+         & 0.2966262848518330_dp, 0.2965661074933410_dp, 0.2964688569250670_dp, 0.2963205046129220_dp, &
+         & 0.2961045467391870_dp, 0.2958021693369020_dp, 0.2953925321849340_dp, 0.2948531718153480_dp, &
+         & 0.2941605194292760_dp, 0.2932905241209620_dp, 0.2922193657429940_dp, 0.2909242353306990_dp, &
+         & 0.2893841547253610_dp, 0.2875808015020880_dp, 0.2854993012004950_dp, 0.2831289468432700_dp, &
+         & 0.2804638063612050_dp, 0.2775031821576800_dp, 0.2742518936699840_dp, 0.2707203630924720_dp, &
+         & 0.2669244957419470_dp, 0.2628853589023020_dp, 0.2586286752444310_dp, 0.2541841579171520_dp, &
+         & 0.2495847231191700_dp, 0.2448656216416720_dp, 0.2400635331368260_dp, 0.2352156657389130_dp, &
+         & 0.2303588995334850_dp, 0.2255290059066940_dp, 0.2207599668558370_dp, 0.2160834097827120_dp, &
+         & 0.2115281649393100_dp, 0.2071199452068060_dp, 0.2028811417200490_dp, 0.1988307242425550_dp, &
+         & 0.1949842321986850_dp, 0.1913538407770260_dp, 0.1879484863210120_dp, 0.1847740360507540_dp, &
+         & 0.1818334887279180_dp, 0.1791271949062860_dp, 0.1766530876612510_dp, 0.1744069169616010_dp, &
+         & 0.1723824829802470_dp, 0.1705718655248700_dp, 0.1689656483272660_dp, 0.1675531381157640_dp, &
+         & 0.1663225791865840_dp, 0.1652613645893200_dp, 0.1643562450659600_dp, 0.1635935365712060_dp, &
+         & 0.1629593266050550_dp, 0.1624396787757620_dp, 0.1620208340643790_dp, 0.1616894062715200_dp, &
+         & 0.1614325681923750_dp, 0.1612382242828120_dp, 0.1610951650367340_dp, 0.1609931980638710_dp, &
+         & 0.1609232509847300_dp, 0.1608774417625800_dp, 0.1608491129536060_dp, 0.1608328275265480_dp, &
+         & 0.1608243253053130_dp, 0.1608204406248460_dp, 0.1608189833559310_dp, 0.1608185869442740_dp, &
+         & 0.1608185284347950_dp, 0.1608185238303430_dp, 0.1608184399615380_dp, 0.1608178717386650_dp, &
+         & 0.1608157828998880_dp, 0.1608102148892810_dp, 0.1607980297722950_dp, 0.1607746951108310_dp, &
+         & 0.1607341199918860_dp, 0.1606685506935650_dp, 0.1605685336156740_dp, 0.1604229520026620_dp, &
+         & 0.1602191415205430_dp, 0.1599430877841640_dp, 0.1595797063544420_dp, 0.1591132024738680_dp, &
+         & 0.1585275039008210_dp, 0.1578067557647960_dp, 0.1569358616446620_dp, 0.1559010504435320_dp, &
+         & 0.1546904445698660_dp, 0.1532946019620810_dp, 0.1517070031286990_dp, 0.1499244550325260_dp, &
+         & 0.1479473865676720_dp, 0.1457800155506420_dp, 0.1434303742852380_dp, 0.1409101893017630_dp, &
+         & 0.1382346200413740_dp, 0.1354218701666810_dp, 0.1324926929529650_dp, 0.1294698181089300_dp, &
+         & 0.1263773308903990_dp, 0.1232400353014280_dp, 0.1200828316317840_dp, 0.1169301349307830_dp, &
+         & 0.1138053558311400_dp, 0.1107304590664530_dp, 0.1077256087251040_dp, 0.1048089033157640_dp, &
+         & 0.1019961985170500_dp, 0.0993010113172161_dp, 0.0967344962449559_dp, 0.0943054825400580_dp, &
+         & 0.0920205603129887_dp, 0.0898842038261307_dp, 0.0878989208045482_dp, 0.0860654179465428_dp, &
+         & 0.0843827743720453_dp, 0.0828486164560829_dp, 0.0814592892142727_dp, 0.0802100210299841_dp, &
+         & 0.0790950799600267_dp, 0.0781079210704902_dp, 0.0772413252012996_dp, 0.0764875302190759_dp, &
+         & 0.0758383561901965_dp, 0.0752853259999213_dp, 0.0748197827815531_dp, 0.0744330051377418_dp, &
+         & 0.0741163205798969_dp, 0.0738612169384538_dp, 0.0736594507720483_dp, 0.0735031510963182_dp, &
+         & 0.0733849161334277_dp, 0.0732979003156515_dp, 0.0732358885132314_dp, 0.0731933544344585_dp, &
+         & 0.0731655003791616_dp, 0.0731482760082542_dp, 0.0731383744878613_dp, 0.0731332052288636_dp, &
+         & 0.0731308434035824_dp, 0.0731299574097477_dp, 0.0731297163987463_dp, 0.0731296808260495_dp, &
+         & 0.0731296780018553_dp, 0.0731296262448708_dp, 0.0731292755842219_dp, 0.0731279865263232_dp, &
+         & 0.0731245504307765_dp, 0.0731170309218001_dp, 0.0731026313200331_dp, 0.0730775939137445_dp, &
+         & 0.0730371365326903_dp, 0.0729754314475883_dp, 0.0728856310158577_dp, 0.0727599436328745_dp, &
+         & 0.0725897623236662_dp, 0.0723658466317474_dp, 0.0720785562790596_dp, 0.0717181323883267_dp, &
+         & 0.0712750189672207_dp, 0.0707402140322486_dp, 0.0701056364720358_dp, 0.0693644918657057_dp, &
+         & 0.0685116183693282_dp, 0.0675437928426135_dp, 0.0664599779135955_dp, 0.0652614928419268_dp, &
+         & 0.0639520948296166_dp, 0.0625379626175544_dp, 0.0610275803793243_dp, 0.0594315265042127_dp, &
+         & 0.0577621782002637_dp, 0.0560333483061513_dp, 0.0542598747467906_dp, 0.0524571853449274_dp, &
+         & 0.0506408610737736_dp, 0.0488262193925593_dp, 0.0470279363301671_dp, 0.0452597218911279_dp, &
+         & 0.0435340586384285_dp, 0.0418620084383363_dp, 0.0402530877612861_dp, 0.0387152079539490_dp, &
+         & 0.0372546737632433_dp, 0.0358762312182321_dp, 0.0345831547697486_dp, 0.0333773632621330_dp, &
+         & 0.0322595547190119_dp, 0.0312293508861217_dp, 0.0302854438119340_dp, 0.0294257382971495_dp, &
+         & 0.0286474856628374_dp, 0.0279474058527143_dp, 0.0273217963016776_dp, 0.0267666272074365_dp, &
+         & 0.0262776237991389_dp, 0.0258503369015060_dp, 0.0254802035560573_dp, 0.0251625996975449_dp, &
+         & 0.0248928869170726_dp, 0.0246664551972415_dp, 0.0244787632104817_dp, 0.0243253773610164_dp, &
+         & 0.0242020102623215_dp, 0.0241045588154591_dp, 0.0240291415320826_dp, 0.0239721342717942_dp, &
+         & 0.0239302031760147_dp, 0.0239003333121985_dp, 0.0238798514188403_dp, 0.0238664411737304_dp, &
+         & 0.0238581495933019_dp, 0.0238533834935239_dp, 0.0238508953733145_dp, 0.0238497585793596_dp, &
+         & 0.0238493321365709_dp, 0.0238492161345505_dp, 0.0238491990129077_dp, 0.0238491976411552_dp, &
+         & 0.0238491723450736_dp, 0.0238490009608796_dp, 0.0238483709412733_dp, 0.0238466915926310_dp, &
+         & 0.0238430166447401_dp, 0.0238359796975161_dp, 0.0238237455712493_dp, 0.0238039805180250_dp, &
+         & 0.0237738441455093_dp, 0.0237300057037046_dp, 0.0236686870127372_dp, 0.0235857336844774_dp, &
+         & 0.0234767153414666_dp, 0.0233370542190627_dp, 0.0231621798473540_dp, 0.0229477055098357_dp, &
+         & 0.0226896199922351_dp, 0.0223844859667821_dp, 0.0220296344591802_dp, 0.0216233435055955_dp, &
+         & 0.0211649886028056_dp, 0.0206551531085779_dp, 0.0200956884859025_dp, 0.0194897171741530_dp, &
+         & 0.0188415747287820_dp, 0.0181566923406322_dp, 0.0174414254665720_dp, 0.0167028385621535_dp, &
+         & 0.0159484592972703_dp, 0.0151860177610672_dp, 0.0144231868267397_dp, 0.0136673390758943_dp, &
+         & 0.0129253335663435_dp, 0.0122033424749688_dp, 0.0115067237730955_dp, 0.0108399421747052_dp, &
+         & 0.0102065368161419_dp, 0.0096091308022324_dp, 0.0090494757942494_dp, 0.0085285241240172_dp, &
+         & 0.0080465200748776_dp, 0.0076031014701599_dp, 0.0071974047382213_dp, 0.0068281689226026_dp, &
+         & 0.0064938327312945_dp, 0.0061926187230199_dp, 0.0059226053535113_dp, 0.0056817909267863_dp, &
+         & 0.0054681464144011_dp, 0.0052796515963394_dp, 0.0051143189478324_dp, 0.0049702143205366_dp, &
+         & 0.0048454744165980_dp, 0.0047383155765530_dp, 0.0046470346033729_dp, 0.0045700076045563_dp, &
+         & 0.0045056902767868_dp, 0.0044526189410945_dp, 0.0044094111606299_dp, 0.0043747662939850_dp, &
+         & 0.0043474668635284_dp, 0.0043263811052370_dp, 0.0043104665245224_dp, 0.0042987739532450_dp, &
+         & 0.0042904515509932_dp, 0.0042847481604795_dp, 0.0042810154069741_dp, 0.0042787080203226_dp, &
+         & 0.0042773819077908_dp, 0.0042766896755566_dp, 0.0042763734157489_dp, 0.0042762547800166_dp, &
+         & 0.0042762225081177_dp, 0.0042762177453426_dp, 0.0042762173598305_dp, 0.0042762102117848_dp, &
+         & 0.0042761617798419_dp, 0.0042759837438879_dp, 0.0042755091920412_dp, 0.0042744707873865_dp, &
+         & 0.0042724826590401_dp, 0.0042690269759902_dp, 0.0042634462072684_dp, 0.0042549420837403_dp, &
+         & 0.0042425822963139_dp, 0.0042253158552938_dp, 0.0042019978674972_dp, 0.0041714241190363_dp, &
+         & 0.0041323752320466_dp, 0.0040836693252757_dp, 0.0040242209221333_dp, 0.0039531028716269_dp, &
+         & 0.0038696079908149_dp, 0.0037733084447069_dp, 0.0036641120590914_dp, 0.0035423130813683_dp, &
+         & 0.0034074794435241_dp, 0.0032631035062351_dp, 0.0031092818914544_dp, 0.0029477374993050_dp, &
+         & 0.0027804349455067_dp, 0.0026094974666222_dp, 0.0024381177200397_dp, 0.0022665450672434_dp, &
+         & 0.0020975391959155_dp, 0.0019331603830892_dp, 0.0017752597376699_dp, 0.0016253708593368_dp, &
+         & 0.0014843513516709_dp, 0.0013525233550169_dp, 0.0012299620267342_dp, 0.0011165677977871_dp, &
+         & 0.0010121443714652_dp, 0.0009164508298127_dp, 0.0008292086794768_dp, 0.0007500753710872_dp, &
+         & 0.0006786240042871_dp, 0.0006142739220181_dp, 0.0005560347705185_dp, 0.0005030236236152_dp, &
+         & 0.0004547560638670_dp, 0.0004106356266789_dp, 0.0003699555468799_dp, 0.0003322417465981_dp, &
+         & 0.0002971965067999_dp, 0.0002646741148027_dp, 0.0002346137221139_dp, 0.0002067571202389_dp, &
+         & 0.0001809068159346_dp, 0.0001570111188940_dp, 0.0001350598392662_dp, 0.0001150428564785_dp, &
+         & 9.6933327469628198e-05_dp, 8.0684079478032800e-05_dp, 6.6232791766651603e-05_dp, 5.3513696549600802e-05_dp, &
+         & 4.2457358411240902e-05_dp, 3.2985361436033097e-05_dp, 2.5006992700582500e-05_dp, 1.8418250711249601e-05_dp, &
+         & 1.3102488935601300e-05_dp, 8.9321195062552795e-06_dp, 5.7709547149897802e-06_dp, 3.4769047871918701e-06_dp, &
+         &  1.9048778554520100e-06_dp, 9.0983675704592304e-07_dp, 3.5006905108048201e-07_dp, -2.1316282072802999e-14_dp, &
+         & -2.1316282072802999e-14_dp &
+         &]
+      case (50)
+         out = [&
+         & 50.0000000000000000_dp, 49.9999999536583033_dp, 49.9999985206815012_dp, 49.9999888120366975_dp, &
+         & 49.9999531217959969_dp, 49.9998579829068035_dp, 49.9996497645856977_dp, 49.9992509663782982_dp, &
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+         & 0.0371420341816346_dp, 0.0356337391524875_dp, 0.0340890603190331_dp, 0.0325235402968644_dp, &
+         & 0.0309527648887595_dp, 0.0293918635321688_dp, 0.0278550605451073_dp, 0.0263553037862749_dp, &
+         & 0.0249039874838175_dp, 0.0235107725578629_dp, 0.0221834964181653_dp, 0.0209281592106976_dp, &
+         & 0.0197489756600717_dp, 0.0186484858519762_dp, 0.0176277190749374_dp, 0.0166863982753256_dp, &
+         & 0.0158231636217465_dp, 0.0150357908964125_dp, 0.0143163580106247_dp, 0.0136721049104764_dp, &
+         & 0.0130935531387237_dp, 0.0125767218815085_dp, 0.0121175165899245_dp, 0.0117118143828989_dp, &
+         & 0.0113555287203937_dp, 0.0110446562171234_dp, 0.0107753087638542_dp, 0.0105437341754850_dp, &
+         & 0.0103463284490317_dp, 0.0101796424389633_dp, 0.0100403853806341_dp, 0.0099254272486249_dp, &
+         & 0.0098318014517176_dp, 0.0097567088628381_dp, 0.0096975236804155_dp, 0.0096518011392632_dp, &
+         & 0.0096172866567343_dp, 0.0095919256376007_dp, 0.0095738728917922_dp, 0.0095615004599097_dp, &
+         & 0.0095534026038564_dp, 0.0095483968038295_dp, 0.0095455197974488_dp, 0.0095440179820372_dp, &
+         & 0.0095433318452365_dp, 0.0095430744605451_dp, 0.0095430044465061_dp, 0.0095429941126142_dp, &
+         & 0.0095429932921860_dp, 0.0095429782567535_dp, 0.0095428763899292_dp, 0.0095425019237325_dp, &
+         & 0.0095415037881494_dp, 0.0095393196659188_dp, 0.0095351378568438_dp, 0.0095278689291049_dp, &
+         & 0.0095161291942745_dp, 0.0094982380847384_dp, 0.0094722314770266_dp, 0.0094358928181677_dp, &
+         & 0.0093868034907913_dp, 0.0093224131259504_dp, 0.0092401294911681_dp, 0.0091374261427148_dp, &
+         & 0.0090119642954249_dp, 0.0088617234617274_dp, 0.0086851335520564_dp, 0.0084811995761456_dp, &
+         & 0.0082496091348006_dp, 0.0079908128195356_dp, 0.0077060686442749_dp, 0.0073974437890669_dp, &
+         & 0.0070677701360466_dp, 0.0067205540318724_dp, 0.0063598449597393_dp, 0.0059900717909329_dp, &
+         & 0.0056158584492678_dp, 0.0052418327078243_dp, 0.0048724421903543_dp, 0.0045117904543801_dp, &
+         & 0.0041635035031433_dp, 0.0038306335980920_dp, 0.0035156033131472_dp, 0.0032201889137298_dp, &
+         & 0.0029455388468662_dp, 0.0026922207694824_dp, 0.0024602892972681_dp, 0.0022493664753966_dp, &
+         & 0.0020587276103043_dp, 0.0018873862478017_dp, 0.0017341734685630_dp, 0.0015978081298584_dp, &
+         & 0.0014769561064369_dp, 0.0013702778729225_dp, 0.0012764648079084_dp, 0.0011947732991899_dp, &
+         & 0.0011230821838026_dp, 0.0010605853945336_dp, 0.0010060023226899_dp, 0.0009593465886866_dp, &
+         & 0.0009196679472510_dp, 0.0008855610091629_dp, 0.0008565575701667_dp, 0.0008320725401916_dp, &
+         & 0.0008115744549357_dp, 0.0007945800884883_dp, 0.0007806473309486_dp, 0.0007693680209400_dp, &
+         & 0.0007603651919439_dp, 0.0007532944418642_dp, 0.0007478446027491_dp, 0.0007437362338791_dp, &
+         & 0.0007407195201523_dp, 0.0007385727580953_dp, 0.0007371015931881_dp, 0.0007361386909324_dp, &
+         & 0.0007355434360221_dp, 0.0007352013099933_dp, 0.0007350227137906_dp, 0.0007349411170026_dp, &
+         & 0.0007349105082639_dp, 0.0007349021818470_dp, 0.0007349009530486_dp, 0.0007349008549156_dp, &
+         & 0.0007348990492773_dp, 0.0007348868152945_dp, 0.0007348418442703_dp, 0.0007347219798746_dp, &
+         & 0.0007344597227288_dp, 0.0007339577080074_dp, 0.0007330854406433_dp, 0.0007316775765176_dp, &
+         & 0.0007295340375038_dp, 0.0007264222074355_dp, 0.0007220814151268_dp, 0.0007162299927970_dp, &
+         & 0.0007085754322773_dp, 0.0006988285714868_dp, 0.0006867250467621_dp, 0.0006718446356828_dp, &
+         & 0.0006547704150961_dp, 0.0006346827912083_dp, 0.0006117432608548_dp, 0.0005860169750633_dp, &
+         & 0.0005576798231459_dp, 0.0005270121332615_dp, 0.0004943869680503_dp, 0.0004606035039956_dp, &
+         & 0.0004261324299364_dp, 0.0003912222043780_dp, 0.0003564102231834_dp, 0.0003222494350226_dp, &
+         & 0.0002898399780022_dp, 0.0002589108749618_dp, 0.0002297390159569_dp, 0.0002028010360391_dp, &
+         & 0.0001785059667370_dp, 0.0001563448155792_dp, 0.0001362638732729_dp, 0.0001190162892044_dp, &
+         & 1.0372547359338600e-04_dp, 9.0146129551271797e-05_dp, 7.8533407943837106e-05_dp, 6.8770124414641005e-05_dp, &
+         & 6.0171668607722502e-05_dp, 5.2526223846882699e-05_dp, 4.6639310525620197e-05_dp, 4.1528864166195897e-05_dp, &
+         & 3.6988736518139797e-05_dp, 3.2909011473236701e-05_dp, 2.9977257128166501e-05_dp, 2.7478932722146999e-05_dp, &
+         & 2.5231562716499000e-05_dp, 2.3215901585160699e-05_dp, 2.1439723639105099e-05_dp, 2.0051517580554901e-05_dp, &
+         & 1.9066884412666200e-05_dp, 1.8239681800480402e-05_dp, 1.7541168638501899e-05_dp, 1.6959430595875299e-05_dp, &
+         & 1.6479438542660302e-05_dp, 1.6086166866102799e-05_dp, 1.5766291966201600e-05_dp, 1.5508259558316702e-05_dp, &
+         & 1.5302240491621399e-05_dp, 1.5140080805053901e-05_dp, 1.5014990026429600e-05_dp, 1.4921067659656699e-05_dp, &
+         & 1.4852918575059000e-05_dp, 1.4805487694502500e-05_dp, 1.4774088917590701e-05_dp, 1.4754528798732700e-05_dp, &
+         & 1.4743232554792500e-05_dp, 1.4737319673940899e-05_dp, 1.4734614516953601e-05_dp, 1.4733599137173301e-05_dp, &
+         & 1.4733322878157700e-05_dp, 1.4733282100110000e-05_dp, 1.4733278831613500e-05_dp, 1.4733218378637499e-05_dp, &
+         & 1.4732808821804600e-05_dp, 1.4731303473070101e-05_dp, 1.4727292374061600e-05_dp, 1.4718522365342300e-05_dp, &
+         & 1.4701757642399101e-05_dp, 1.4672698235074200e-05_dp, 1.4625974891657700e-05_dp, 1.4555234919555500e-05_dp, &
+         & 1.4453319167273499e-05_dp, 1.4312515389747200e-05_dp, 1.4124886469346600e-05_dp, 1.3882754430483101e-05_dp, &
+         & 1.3579582351042101e-05_dp, 1.3211832779802499e-05_dp, 1.2783986143460900e-05_dp, 1.2321018473926400e-05_dp, &
+         & 1.1856021991718499e-05_dp, 1.1373099511047300e-05_dp, 1.0838464177709301e-05_dp, 1.0229468379918700e-05_dp, &
+         & 9.5364301415656899e-06_dp, 8.7708833191868507e-06_dp, 8.0370706356802708e-06_dp, 7.9266393555599296e-06_dp, &
+         & 7.9447936229826206e-06_dp, 7.9080453758706392e-06_dp, 7.6659829559844201e-06_dp, 7.8150694591272407e-06_dp, &
+         & 8.0157927442314792e-06_dp, 8.0381941316431898e-06_dp, 8.0865968854482196e-06_dp, 9.1308829013314607e-06_dp, &
+         & 9.8433942881115399e-06_dp, 9.8477420493736594e-06_dp, 9.9321514781536297e-06_dp, 9.6047279498634503e-06_dp, &
+         & 8.3826396277686399e-06_dp, 6.5088310634564601e-06_dp, 4.3907709113000203e-06_dp, 2.4926595045826599e-06_dp, &
+         & 1.2526158741366100e-06_dp, 9.7989855873947796e-07_dp, 9.5386511844708408e-07_dp, 9.8102812984279808e-07_dp, &
+         & 1.3655757840069799e-06_dp, 1.7993199961097200e-06_dp, 1.9658194574390100e-06_dp, 1.8164212960414299e-06_dp, &
+         & 1.4350842150179201e-06_dp, 9.9155635524539299e-07_dp, 7.3939510514264797e-07_dp, 7.2982432897106296e-07_dp, &
+         & 6.7961214256229099e-07_dp, 5.8351275811219196e-07_dp, 4.9705757021456499e-07_dp, 4.2500871444417498e-07_dp, &
+         & -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, 3.6227764610430302e-07_dp, 3.5935087794314303e-07_dp, &
+         & -2.8421709430404001e-14_dp, -3.5527136788005003e-14_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, &
+         & -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, -3.5527136788005003e-14_dp, -2.8421709430404001e-14_dp, &
+         & -2.8421709430404001e-14_dp, -3.5527136788005003e-14_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, &
+         & -3.5527136788005003e-14_dp &
+         &]
+      case (51)
+         out = [&
+         & 51.0000000000000000_dp, 50.9999999523396994_dp, 50.9999984785893972_dp, 50.9999884936976002_dp, &
+         & 50.9999517879364035_dp, 50.9998539419874035_dp, 50.9996397990510033_dp, 50.9992296534207981_dp, &
+         & 50.9985162931673983_dp, 50.9973630084399971_dp, 50.9956026473087007_dp, 50.9930377691779029_dp, &
+         & 50.9894419128679033_dp, 50.9845619638894973_dp, 50.9781215745848968_dp, 50.9698255629228001_dp, &
+         & 50.9593651917663024_dp, 50.9464242109006022_dp, 50.9306855290078033_dp, 50.9118383715140013_dp, &
+         & 50.8895857717064999_dp, 50.8636522353139995_dp, 50.8337914114050022_dp, 50.7997935939277028_dp, &
+         & 50.7614928681869984_dp, 50.7187737057798032_dp, 50.6715768019492003_dp, 50.6199039439439034_dp, &
+         & 50.5638217013795028_dp, 50.5034637433290001_dp, 50.4390316146371021_dp, 50.3707938469260981_dp, &
+         & 50.2990833370602033_dp, 50.2242929944144976_dp, 50.1468697331922968_dp, 50.0673069610686028_dp, &
+         & 49.9861357840717986_dp, 49.9039152039431002_dp, 49.8212216238015984_dp, 49.7386379983478975_dp, &
+         & 49.6567429658081991_dp, 49.5761002821180981_dp, 49.4972488467222007_dp, 49.4206935680089998_dp, &
+         & 49.3468972691906984_dp, 49.2762737864212994_dp, 49.2091823634302017_dp, 49.1459234032412979_dp, &
+         & 49.0867355989955030_dp, 49.0317944329346034_dp, 48.9812120050002022_dp, 48.9350381295669976_dp, &
+         & 48.8932626196600992_dp, 48.8558186616763024_dp, 48.8225871693301983_dp, 48.7934019926988967_dp, &
+         & 48.7680558465072025_dp, 48.7463068111348008_dp, 48.7278852504204991_dp, 48.7125009825939017_dp, &
+         & 48.6998505351108975_dp, 48.6896243114374982_dp, 48.6815134985234010_dp, 48.6752165483923989_dp, &
+         & 48.6704450763650982_dp, 48.6669290321307031_dp, 48.6644210181995973_dp, 48.6626996529101987_dp, &
+         & 48.6615719016245976_dp, 48.6608743292522021_dp, 48.6604732588454993_dp, 48.6602638536314984_dp, &
+         & 48.6601681723038979_dp, 48.6601322785534975_dp, 48.6601225145470977_dp, 48.6601210733989973_dp, &
+         & 48.6601208843506967_dp, 48.6601164797530998_dp, 48.6600866379370984_dp, 48.6599769359751022_dp, &
+         & 48.6596845085985024_dp, 48.6590445271572989_dp, 48.6578188429201006_dp, 48.6556872325639986_dp, &
+         & 48.6522416208094981_dp, 48.6469835831936024_dp, 48.6393253514777015_dp, 48.6285944555705001_dp, &
+         & 48.6140420396503004_dp, 48.5948547871899024_dp, 48.5701702809242022_dp, 48.5390955108207010_dp, &
+         & 48.5007281272928026_dp, 48.4541799198144005_dp, 48.3986018846293007_dp, 48.3332101322232006_dp, &
+         & 48.2573117804714968_dp, 48.1703298909281017_dp, 48.0718264455922011_dp, 47.9615223453645996_dp, &
+         & 47.8393134564211024_dp, 47.7052818514981993_dp, 47.5597015963374972_dp, 47.4030387111562987_dp, &
+         & 47.2359452712353018_dp, 47.0592479633704031_dp, 46.8739317412101997_dp, 46.6811194782755976_dp, &
+         & 46.4820486697572974_dp, 46.2780462693774979_dp, 46.0705026747174031_dp, 45.8608457223459993_dp, &
+         & 45.6505153634249012_dp, 45.4409395027305010_dp, 45.2335113314238981_dp, 45.0295683828042002_dp, &
+         & 44.8303734898407029_dp, 44.6370978090855033_dp, 44.4508060765407009_dp, 44.2724442571408972_dp, &
+         & 44.1028297275407013_dp, 43.9426440882281995_dp, 43.7924286405240011_dp, 43.6525824967644027_dp, &
+         & 43.5233632287079999_dp, 43.4048899079981965_dp, 43.2971483569667015_dp, 43.1999984073446015_dp, &
+         & 43.1131829546917018_dp, 43.0363385924007034_dp, 42.9690076061515995_dp, 42.9106511041322989_dp, &
+         & 42.8606630483878988_dp, 42.8183849381123025_dp, 42.7831208777071978_dp, 42.7541527430705983_dp, &
+         & 42.7307551414811968_dp, 42.7122098464453970_dp, 42.6978193817656972_dp, 42.6869194313110967_dp, &
+         & 42.6788897644764020_dp, 42.6731633932951979_dp, 42.6692337159964978_dp, 42.6666594528727003_dp, &
+         & 42.6650672421634027_dp, 42.6641518338858035_dp, 42.6636738951464025_dp, 42.6634555179928014_dp, &
+         & 42.6633735966984986_dp, 42.6633513120743970_dp, 42.6633480229088988_dp, 42.6633477325381989_dp, &
+         & 42.6633420428671002_dp, 42.6633034944981020_dp, 42.6631617864670005_dp, 42.6627840437415031_dp, &
+         & 42.6619573572273012_dp, 42.6603741314328033_dp, 42.6576208189474002_dp, 42.6531705472417997_dp, &
+         & 42.6463800581527011_dp, 42.6364912824840019_dp, 42.6226377595513028_dp, 42.6038559822029015_dp, &
+         & 42.5791016005132974_dp, 42.5472702520270971_dp, 42.5072226053628981_dp, 42.4578130121849995_dp, &
+         & 42.3979209680799016_dp, 42.3264843968218969_dp, 42.2425336084105965_dp, 42.1452246542433997_dp, &
+         & 42.0338707283432029_dp, 41.9079702563124030_dp, 41.7672303859717005_dp, 41.6115847539682022_dp, &
+         & 41.4412046534017975_dp, 41.2565030617120030_dp, 41.0581313852368979_dp, 40.8469692001306015_dp, &
+         & 40.6241076667351990_dp, 40.3908276078568989_dp, 40.1485734227160975_dp, 39.8989240385727015_dp, &
+         & 39.6435620019147024_dp, 39.3842416361531988_dp, 39.1227570117956986_dp, 38.8609103427042015_dp, &
+         & 38.6004813592728979_dp, 38.3431982013663983_dp, 38.0907103837442023_dp, 37.8445643756175016_dp, &
+         & 37.6061822792811000_dp, 37.3768439863601998_dp, 37.1576730476026995_dp, 36.9496263361902990_dp, &
+         & 36.7534874386060011_dp, 36.5698635887226970_dp, 36.3991858789405001_dp, 36.2417124375391992_dp, &
+         & 36.0975342483930035_dp, 35.9665832988669010_dp, 35.8486427642136007_dp, 35.7433589631618034_dp, &
+         & 35.6502548426135988_dp, 35.5687447647282013_dp, 35.4981503747063982_dp, 35.4377173217763968_dp, &
+         & 35.3866325902864034_dp, 35.3440421747035032_dp, 35.3090688048432995_dp, 35.2808293995374029_dp, &
+         & 35.2584519021771001_dp, 35.2410911341219020_dp, 35.2279432954724001_dp, 35.2182587501755009_dp, &
+         & 35.2113527559109016_dp, 35.2066138396162032_dp, 35.2035095764348966_dp, 35.2015896016066989_dp, &
+         & 35.2004857684202008_dp, 35.1999094569030007_dp, 35.1996461328728003_dp, 35.1995473505275029_dp, &
+         & 35.1995204792956002_dp, 35.1995165131567020_dp, 35.1995161950232998_dp, 35.1995103238482017_dp, &
+         & 35.1994705457655002_dp, 35.1993243172111008_dp, 35.1989345246913032_dp, 35.1980814688232968_dp, &
+         & 35.1964477476458981_dp, 35.1936066391819011_dp, 35.1890145085970971_dp, 35.1820076789042986_dp, &
+         & 35.1718041044596035_dp, 35.1575100712297015_dp, 35.1381320146223004_dp, 35.1125933929104974_dp, &
+         & 35.0797563818580969_dp, 35.0384479663449966_dp, 34.9874898029402033_dp, 34.9257310221844008_dp, &
+         & 34.8520829428685985_dp, 34.7655544976205988_dp, 34.6652870360786025_dp, 34.5505870953712986_dp, &
+         & 34.4209557222260969_dp, 34.2761130076169991_dp, 34.1160166583567985_dp, 33.9408736778103020_dp, &
+         & 33.7511445486330004_dp, 33.5475396838684006_dp, 33.3310083105694019_dp, 33.1027203383979014_dp, &
+         & 32.8640421087377987_dp, 32.6165071855378983_dp, 32.3617835142459995_dp, 32.1016383303498003_dp, &
+         & 31.8379021505865012_dp, 31.5724330487074987_dp, 31.3070822342880000_dp, 31.0436617502686012_dp, &
+         & 30.7839149103354011_dp, 30.5294899279390997_dp, 30.2819170495031997_dp, 30.0425893901564010_dp, &
+         & 29.8127475713509007_dp, 29.5934681672130999_dp, 29.3856558765785998_dp, 29.1900392525970993_dp, &
+         & 29.0071697480588995_dp, 28.8374237795690007_dp, 28.6810074824621992_dp, 28.5379638216353015_dp, &
+         & 28.4081817376270997_dp, 28.2914070354233012_dp, 28.1872547574776000_dp, 28.0952228146717999_dp, &
+         & 28.0147066734479999_dp, 27.9450149104427013_dp, 27.8853854462342987_dp, 27.8350022578379992_dp, &
+         & 27.7930123474939990_dp, 27.7585427163913003_dp, 27.7307170602982005_dp, 27.7086718740963995_dp, &
+         & 27.6915716284445992_dp, 27.6786226684215002_dp, 27.6690854845557013_dp, 27.6622850236932010_dp, &
+         & 27.6576187419480988_dp, 27.6545621544149007_dp, 27.6526717047647992_dp, 27.6515848593531999_dp, &
+         & 27.6510174209686994_dp, 27.6507581520554986_dp, 27.6506608910718015_dp, 27.6506344337011001_dp, &
+         & 27.6506305286476994_dp, 27.6506302274523996_dp, 27.6506248189515986_dp, 27.6505881755592995_dp, &
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+         & 1.0943427242084800_dp, 1.0873339208156900_dp, 1.0793541667568400_dp, 1.0703841962588101_dp, &
+         & 1.0604224875741399_dp, 1.0494861983134700_dp, 1.0376114265096299_dp, 1.0248527682157400_dp, &
+         & 1.0112821851348299_dp, 0.9969872383921440_dp, 0.9820687830649040_dp, 0.9666382488382010_dp, &
+         & 0.9508146523938310_dp, 0.9347214953221790_dp, 0.9184836973283980_dp, 0.9022246994845490_dp, &
+         & 0.8860638485735630_dp, 0.8701141442268390_dp, 0.8544803989026311_dp, 0.8392578299521180_dp, &
+         & 0.8245310757009390_dp, 0.8103736054860490_dp, 0.7968474779039600_dp, 0.7840033922885750_dp, &
+         & 0.7718809751020150_dp, 0.7605092444789679_dp, 0.7499072013574311_dp, 0.7400845031589680_dp, &
+         & 0.7310421846650500_dp, 0.7227733995941180_dp, 0.7152641646842710_dp, 0.7084940953370090_dp, &
+         & 0.7024371277954200_dp, 0.6970622272946800_dp, 0.6923340846292940_dp, 0.6882138052023730_dp, &
+         & 0.6846595949777240_dp, 0.6816274469985760_dp, 0.6790718304417280_dp, 0.6769463817436400_dp, &
+         & 0.6752045943877290_dp, 0.6738005007295340_dp, 0.6726893360284900_dp, 0.6718281719343300_dp, &
+         & 0.6711765043227660_dp, 0.6706967788425330_dp, 0.6703548370316880_dp, 0.6701202665171240_dp, &
+         & 0.6699666406703880_dp, 0.6698716360943350_dp, 0.6698170202974720_dp, 0.6697885066257210_dp, &
+         & 0.6697754786525680_dp, 0.6697705914357710_dp, 0.6697692619967340_dp, 0.6697690657744100_dp, &
+         & 0.6697690507010210_dp, 0.6697687808245900_dp, 0.6697669523735780_dp, 0.6697602308169410_dp, &
+         & 0.6697423137891650_dp, 0.6697031036970030_dp, 0.6696280150702880_dp, 0.6694974459268860_dp, &
+         & 0.6692864399538290_dp, 0.6689645633539310_dp, 0.6684960164908200_dp, 0.6678399956270060_dp, &
+         & 0.6669513137037200_dp, 0.6657812809333240_dp, 0.6642788357854810_dp, 0.6623919048175680_dp, &
+         & 0.6600689561211150_dp, 0.6572606967028209_dp, 0.6539218500424649_dp, 0.6500129378277320_dp, &
+         & 0.6455019810821480_dp, 0.6403660321480870_dp, 0.6345924515265150_dp, 0.6281798530991199_dp, &
+         & 0.6211386576742800_dp, 0.6134912171186711_dp, 0.6052714977171900_dp, 0.5965243393420320_dp, &
+         & 0.5873043336758170_dp, 0.5776743873839510_dp, 0.5677040525405910_dp, 0.5574677153953760_dp, &
+         & 0.5470427353695940_dp, 0.5365076196545930_dp, 0.5259403064488380_dp, 0.5154166137335490_dp, &
+         & 0.5050088927201630_dp, 0.4947849076916810_dp, 0.4848069484527850_dp, 0.4751311689842480_dp, &
+         & 0.4658071365866050_dp, 0.4568775697380400_dp, 0.4483782396977960_dp, 0.4403380099986550_dp, &
+         & 0.4327789887881150_dp, 0.4257167709463800_dp, 0.4191607495774360_dp, 0.4131144794912420_dp, &
+         & 0.4075760784238080_dp, 0.4025386547980720_dp, 0.3979907536799420_dp, 0.3939168151264950_dp, &
+         & 0.3902976412629680_dp, 0.3871108700848890_dp, 0.3843314550981210_dp, 0.3819321504392550_dp, &
+         & 0.3798840010542720_dp, 0.3781568368784250_dp, 0.3767197688257800_dp, 0.3755416828724240_dp, &
+         & 0.3745917267516600_dp, 0.3738397819533860_dp, 0.3732569120274430_dp, 0.3728157768303500_dp, &
+         & 0.3724910015060490_dp, 0.3722594887971410_dp, 0.3721006638380050_dp, 0.3719966419105210_dp, &
+         & 0.3719323117092230_dp, 0.3718953293559010_dp, 0.3718760215607450_dp, 0.3718671997441520_dp, &
+         & 0.3718638903882340_dp, 0.3718629901643170_dp, 0.3718628572931950_dp, 0.3718628470084230_dp, &
+         & 0.3718626618540450_dp, 0.3718614074066980_dp, 0.3718567959381150_dp, 0.3718445035519550_dp, &
+         & 0.3718176024526730_dp, 0.3717660854961480_dp, 0.3716765029178500_dp, 0.3715317293369860_dp, &
+         & 0.3713108770002550_dp, 0.3709893685929940_dp, 0.3705391795941400_dp, 0.3699292558551410_dp, &
+         & 0.3691261066552300_dp, 0.3680945668266350_dp, 0.3667987137092080_dp, 0.3652029159351430_dp, &
+         & 0.3632729818378590_dp, 0.3609773663257060_dp, 0.3582883872365840_dp, 0.3551833964611860_dp, &
+         & 0.3516458484198640_dp, 0.3476662095390490_dp, 0.3432426576061760_dp, 0.3383815292394560_dp, &
+         & 0.3330974866551630_dp, 0.3274133904428140_dp, 0.3213598818256640_dp, 0.3149746943806730_dp, &
+         & 0.3083017299660260_dp, 0.3013899454474330_dp, 0.2942921049113140_dp, 0.2870634560365420_dp, &
+         & 0.2797603892415170_dp, 0.2724391345563650_dp, 0.2651545445655190_dp, 0.2579590030286520_dp, &
+         & 0.2509014887473460_dp, 0.2440268137004580_dp, 0.2373750441282780_dp, 0.2309811037099510_dp, &
+         & 0.2248745497292150_dp, 0.2190795065034480_dp, 0.2136147355680080_dp, 0.2084938192187240_dp, &
+         & 0.2037254329456600_dp, 0.1993136828446040_dp, 0.1952584859837150_dp, 0.1915559745880980_dp, &
+         & 0.1881989084196500_dp, 0.1851770835191150_dp, 0.1824777292199330_dp, 0.1800858887724670_dp, &
+         & 0.1779847818254650_dp, 0.1761561492575720_dp, 0.1745805823591840_dp, 0.1732378391130500_dp, &
+         & 0.1721071503485940_dp, 0.1711675179292410_dp, 0.1703980059989620_dp, 0.1697780248154500_dp, &
+         & 0.1692876050126560_dp, 0.1689076584507840_dp, 0.1686202203139900_dp, 0.1684086659741620_dp, &
+         & 0.1682578954880680_dp, 0.1681544785286850_dp, 0.1680867531049800_dp, 0.1680448725776530_dp, &
+         & 0.1680207971533460_dp, 0.1680082281112050_dp, 0.1680024853259990_dp, 0.1680003310274430_dp, &
+         & 0.1679997450077410_dp, 0.1679996585125210_dp, 0.1679996517631680_dp, 0.1679995295547060_dp, &
+         & 0.1679987015755560_dp, 0.1679956578525220_dp, 0.1679875445268170_dp, 0.1679697893331350_dp, &
+         & 0.1679357883934500_dp, 0.1678766679232520_dp, 0.1677811335283150_dp, 0.1676354186494820_dp, &
+         & 0.1674233422294760_dp, 0.1671264836277540_dp, 0.1667244799801470_dp, 0.1661954474061820_dp, &
+         & 0.1655165226025520_dp, 0.1646645154404500_dp, 0.1636166563905230_dp, 0.1623514152928180_dp, &
+         & 0.1608493607220750_dp, 0.1590940226706220_dp, 0.1570727162753510_dp, 0.1547772816402140_dp, &
+         & 0.1522046951252850_dp, 0.1493575112305550_dp, 0.1462441015094170_dp, 0.1428786675209960_dp, &
+         & 0.1392810179845370_dp, 0.1354761149902760_dp, 0.1314934090567520_dp, 0.1273659966134280_dp, &
+         & 0.1231296448133890_dp, 0.1188217363686230_dp, 0.1144801906539000_dp, 0.1101424164153710_dp, &
+         & 0.1058443462959960_dp, 0.1016195947430990_dp, 0.0974987697132050_dp, 0.0935089561485540_dp, &
+         & 0.0896733767092002_dp, 0.0860112238245136_dp, 0.0825376476526998_dp, 0.0792638775608978_dp, &
+         & 0.0761974504742113_dp, 0.0733425177976699_dp, 0.0707002032548232_dp, 0.0682689864292101_dp, &
+         & 0.0660450904822909_dp, 0.0640228569120183_dp, 0.0621950948195575_dp, 0.0605533965819518_dp, &
+         & 0.0590884158031102_dp, 0.0577901067661841_dp, 0.0566479272509284_dp, 0.0556510085004973_dp, &
+         & 0.0547882973533547_dp, 0.0540486761604484_dp, 0.0534210661628620_dp, 0.0528945195951565_dp, &
+         & 0.0524583049941540_dp, 0.0521019891235923_dp, 0.0518155176682882_dp, 0.0515892955053019_dp, &
+         & 0.0514142660285302_dp, 0.0512819877879167_dp, 0.0511847057007131_dp, 0.0511154133826963_dp, &
+         & 0.0510679027901233_dp, 0.0510367973875105_dp, 0.0510175654597447_dp, 0.0510065109258520_dp, &
+         & 0.0510007400183881_dp, 0.0509981033699276_dp, 0.0509971142925920_dp, 0.0509968452415066_dp, &
+         & 0.0509968055302039_dp, 0.0509968024050949_dp, 0.0509967454820597_dp, 0.0509963598212053_dp, &
+         & 0.0509949421073443_dp, 0.0509911631274491_dp, 0.0509828935552719_dp, 0.0509670587603779_dp, &
+         & 0.0509395295074881_dp, 0.0508950552867304_dp, 0.0508272468112594_dp, 0.0507286137957550_dp, &
+         & 0.0505906633074744_dp, 0.0504040625723761_dp, 0.0501588679509766_dp, 0.0498448187659690_dp, &
+         & 0.0494516907601934_dp, 0.0489696993220861_dp, 0.0483899375330026_dp, 0.0477048290248021_dp, &
+         & 0.0469085711846517_dp, 0.0459975410791884_dp, 0.0449706352539749_dp, 0.0438295158291737_dp, &
+         & 0.0425787393576371_dp, 0.0412257516961745_dp, 0.0397807412407545_dp, 0.0382563534898495_dp, &
+         & 0.0366672809268422_dp, 0.0350297524005967_dp, 0.0333609543134301_dp, 0.0316784210087704_dp, &
+         & 0.0299994331930478_dp, 0.0283404609320428_dp, 0.0267166821397993_dp, 0.0251415993572053_dp, &
+         & 0.0236267680959230_dp, 0.0221816402770685_dp, 0.0208135173992829_dp, 0.0195276008677183_dp, &
+         & 0.0183271219151209_dp, 0.0172135309078953_dp, 0.0161867253924513_dp, 0.0152452975960529_dp, &
+         & 0.0143867847252750_dp, 0.0136079087594680_dp, 0.0129047960391020_dp, 0.0122731704215653_dp, &
+         & 0.0117085168589739_dp, 0.0112062147828595_dp, 0.0107616425999097_dp, 0.0103702559278958_dp, &
+         & 0.0100276430068433_dp, 0.0097295611080526_dp, 0.0094719578353519_dp, 0.0092509810579742_dp, &
+         & 0.0090629809032166_dp, 0.0089045068245355_dp, 0.0087723022849104_dp, 0.0086632990855193_dp, &
+         & 0.0085746128456918_dp, 0.0085035406156422_dp, 0.0084475610947905_dp, 0.0084043374489084_dp, &
+         & 0.0083717222900432_dp, 0.0083477640227656_dp, 0.0083307134916808_dp, 0.0083190297031734_dp, &
+         & 0.0083113833528188_dp, 0.0083066569672567_dp, 0.0083039406572851_dp, 0.0083025227575106_dp, &
+         & 0.0083018749664987_dp, 0.0083016319672780_dp, 0.0083015658664962_dp, 0.0083015561101973_dp, &
+         & 0.0083015553356276_dp, 0.0083015411405611_dp, 0.0083014449674579_dp, 0.0083010914323935_dp, &
+         & 0.0083001490949997_dp, 0.0082980871033698_dp, 0.0082941392564777_dp, 0.0082872774018270_dp, &
+         & 0.0082761961704989_dp, 0.0082593111201561_dp, 0.0082347723464977_dp, 0.0082004954524280_dp, &
+         & 0.0081542113472182_dp, 0.0080935356033862_dp, 0.0080160569797130_dp, 0.0079194432188459_dp, &
+         & 0.0078015604172137_dp, 0.0076606002878066_dp, 0.0074952077239274_dp, 0.0073045995155638_dp, &
+         & 0.0070886641913290_dp, 0.0068480330495575_dp, 0.0065841137020328_dp, 0.0062990799282829_dp, &
+         & 0.0059958151733497_dp, 0.0056778112581739_dp, 0.0053490282828150_dp, 0.0050137256716738_dp, &
+         & 0.0046762772505034_dp, 0.0043409847106304_dp, 0.0040119036000163_dp, 0.0036926941511766_dp, &
+         & 0.0033865061342198_dp, 0.0030959030077327_dp, 0.0028228265119239_dp, 0.0025685990692281_dp, &
+         & 0.0023339583750470_dp, 0.0021191166567434_dp, 0.0019238363238259_dp, 0.0017475139924059_dp, &
+         & 0.0015892658712886_dp, 0.0014480089355260_dp, 0.0013225339055936_dp, 0.0012115676004427_dp, &
+         & 0.0011138236162509_dp, 0.0010280413993229_dp, 0.0009530145934349_dp, 0.0008876100530770_dp, &
+         & 0.0008307791073179_dp, 0.0007815626270187_dp, 0.0007390913725445_dp, 0.0007025829692111_dp, &
+         & 0.0006713365965894_dp, 0.0006447262416103_dp, 0.0006221932632826_dp, 0.0006032388938024_dp, &
+         & 0.0005874170741436_dp, 0.0005743278415480_dp, 0.0005636114330585_dp, 0.0005549432442820_dp, &
+         & 0.0005480297133147_dp, 0.0005426051115691_dp, 0.0005384291648909_dp, 0.0005352853951734_dp, &
+         & 0.0005329800475380_dp, 0.0005313414444075_dp, 0.0005302195889243_dp, 0.0005294858362532_dp, &
+         & 0.0005290324591698_dp, 0.0005287719575975_dp, 0.0005286359943995_dp, 0.0005285738813043_dp, &
+         & 0.0005285505820893_dp, 0.0005285442442897_dp, 0.0005285433088531_dp, 0.0005285432338979_dp, &
+         & 0.0005285418518781_dp, 0.0005285324885307_dp, 0.0005284980690945_dp, 0.0005284063289324_dp, &
+         & 0.0005282056055478_dp, 0.0005278213790589_dp, 0.0005271537777318_dp, 0.0005260762899155_dp, &
+         & 0.0005244359474759_dp, 0.0005220552563472_dp, 0.0005187361352483_dp, 0.0005142660678175_dp, &
+         & 0.0005084265638189_dp, 0.0005010038519160_dp, 0.0004918014884083_dp, 0.0004806542728772_dp, &
+         & 0.0004674425471123_dp, 0.0004521056820010_dp, 0.0004346534093500_dp, 0.0004151736656297_dp, &
+         & 0.0003938357437292_dp, 0.0003708877752544_dp, 0.0003466480575156_dp, 0.0003214906594948_dp, &
+         & 0.0002958266805564_dp, 0.0002700827320723_dp, 0.0002446780474514_dp, 0.0002200024942240_dp, &
+         & 0.0001963985728395_dp, 0.0001741483384095_dp, 0.0001534641508982_dp, 0.0001344854139376_dp, &
+         & 1.1728365370089500e-04_dp, 1.0186976420811799e-04_dp, 8.8200612886168997e-05_dp, 7.6194366748438797e-05_dp, &
+         & 6.5745848885967502e-05_dp, 5.6721806352300098e-05_dp, 4.8961657292068099e-05_dp, 4.2307855224521497e-05_dp, &
+         & 3.6628501788982201e-05_dp, 3.1835693306447899e-05_dp, 2.7934931168260798e-05_dp, 2.4892200372050899e-05_dp, &
+         & 2.2446201072057199e-05_dp, 2.0354381888409999e-05_dp, 1.8473882086311699e-05_dp, 1.6762666014358301e-05_dp, &
+         & 1.5290318735594600e-05_dp, 1.4142050268617400e-05_dp, 1.3244595699291001e-05_dp, 1.2494478774272001e-05_dp, &
+         & 1.1902970086907800e-05_dp, 1.1501633352395400e-05_dp, 1.1239646440230899e-05_dp, 1.1040061643541299e-05_dp, &
+         & 1.0861183447730100e-05_dp, 1.0693655021043499e-05_dp, 1.0542279888170500e-05_dp, 1.0413519142105100e-05_dp, &
+         & 1.0310245869504801e-05_dp, 1.0231364150570199e-05_dp, 1.0173409407343600e-05_dp, 1.0132182261202200e-05_dp, &
+         & 1.0103727987598200e-05_dp, 1.0084722369185800e-05_dp, 1.0072521661186300e-05_dp, 1.0065079429466599e-05_dp, &
+         & 1.0060837780656599e-05_dp, 1.0058634146048501e-05_dp, 1.0057629808102299e-05_dp, 1.0057253454931500e-05_dp, &
+         & 1.0057151115461201e-05_dp, 1.0057136009322700e-05_dp, 1.0057134630869801e-05_dp, 1.0057107012073601e-05_dp, &
+         & 1.0056919926171300e-05_dp, 1.0056232213173600e-05_dp, 1.0054399297132501e-05_dp, 1.0050389434468301e-05_dp, &
+         & 1.0042715686609001e-05_dp, 1.0029389265753300e-05_dp, 1.0007903277653400e-05_dp, 9.9752646463002697e-06_dp, &
+         & 9.9281160004238700e-06_dp, 9.8630367162400001e-06_dp, 9.7771553910774906e-06_dp, 9.6690814785915808e-06_dp, &
+         & 9.5395287758037705e-06_dp, 9.3898224591271207e-06_dp, 9.2164076690437503e-06_dp, 9.0034628215107693e-06_dp, &
+         & 8.7216827253655504e-06_dp, 8.3406499769011993e-06_dp, 7.8542591026575792e-06_dp, 7.3087515701786296e-06_dp, &
+         & 6.8022081194385498e-06_dp, 6.4182655350464302e-06_dp, 6.1770252912651796e-06_dp, 6.0838213897795901e-06_dp, &
+         & 6.1162043536455704e-06_dp, 6.1779003175388400e-06_dp, 6.1561847459756800e-06_dp, 6.0227377502997098e-06_dp, &
+         & 5.8805471994105599e-06_dp, 5.9030620818134602e-06_dp, 6.2285618795954204e-06_dp, 6.8599964606619298e-06_dp, &
+         & 7.5849030380936702e-06_dp, 8.0710969214692307e-06_dp, 8.0525856134272493e-06_dp, 7.3970984360016701e-06_dp, &
+         & 6.1383097857969898e-06_dp, 4.5317611068185198e-06_dp, 2.9245369290720200e-06_dp, 1.5063033700357700e-06_dp, &
+         & 9.7624841544075004e-07_dp, 1.2895186571881799e-06_dp, 1.0041373670333100e-06_dp, 1.2312355366361801e-06_dp, &
+         & 2.4451583016116299e-06_dp, 3.2692100901954299e-06_dp, 3.5397286737293101e-06_dp, 3.2678044732392702e-06_dp, &
+         & 2.5929184559458901e-06_dp, 1.7206196574193200e-06_dp, 8.7930263248381401e-07_dp, 6.6039209656309997e-07_dp, &
+         & 8.3115729410110404e-07_dp, 8.0652726808239105e-07_dp, 7.0359372017492195e-07_dp, 5.9763537763046802e-07_dp, &
+         & 5.2411092354986998e-07_dp, 4.9156052739363098e-07_dp, 4.7970109307016205e-07_dp, 4.6099415129674499e-07_dp, &
+         &  4.2346516693214701e-07_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -1.4210854715202001e-14_dp, &
+         & -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp &
+         &]
+      case (52)
+         out = [&
+         & 52.0000000000000000_dp, 51.9999999510231987_dp, 51.9999984365630965_dp, 51.9999881758563021_dp, &
+         & 51.9999504561625017_dp, 51.9998499073858014_dp, 51.9996298490957969_dp, 51.9992083737764972_dp, &
+         & 51.9984753077218969_dp, 51.9972901641162011_dp, 51.9954811724236023_dp, 51.9928454354240017_dp, &
+         & 51.9891502314003020_dp, 51.9841354455303986_dp, 51.9775170829001993_dp, 51.9689917869911966_dp, &
+         & 51.9582422629989011_dp, 51.9449434854281975_dp, 51.9287695540556982_dp, 51.9094010509057995_dp, &
+         & 51.8865327421830003_dp, 51.8598814616262018_dp, 51.8291940039807031_dp, 51.7942548481145977_dp, &
+         & 51.7548935184246020_dp, 51.7109913814419997_dp, 51.6624876640424020_dp, 51.6093844735877028_dp, &
+         & 51.5517506024967034_dp, 51.4897239139019973_dp, 51.4235121340597985_dp, 51.3533919222070026_dp, &
+         & 51.2797061486408978_dp, 51.2028593836055990_dp, 51.1233116778539980_dp, 51.0415707939120011_dp, &
+         & 50.9581831182615019_dp, 50.8737235426824981_dp, 50.7887846432932974_dp, 50.7039655059559990_dp, &
+         & 50.6198605465498019_dp, 50.5370486561277019_dp, 50.4560829677014979_dp, 50.3774814977815026_dp, &
+         & 50.3017188664508978_dp, 50.2292192488924982_dp, 50.1603506622937019_dp, 50.0954206472929968_dp, &
+         & 50.0346733638819003_dp, 49.9782880883334997_dp, 49.9263790699663019_dp, 49.8789966835854983_dp, &
+         & 49.8361297943144024_dp, 49.7977092352346986_dp, 49.7636122839579969_dp, 49.7336680113438021_dp, &
+         & 49.7076633637355982_dp, 49.6853498292444016_dp, 49.6664505289981975_dp, 49.6506675663025021_dp, &
+         & 49.6376894608890993_dp, 49.6271984925242009_dp, 49.6188777788385025_dp, 49.6124179169136994_dp, &
+         & 49.6075230273436034_dp, 49.6039160534210026_dp, 49.6013431867719987_dp, 49.5995773139016976_dp, &
+         & 49.5984204051911988_dp, 49.5977047981146981_dp, 49.5972933588558007_dp, 49.5970785399668017_dp, &
+         & 49.5969803850408013_dp, 49.5969435633507985_dp, 49.5969335469216972_dp, 49.5969320685164021_dp, &
+         & 49.5969318745807968_dp, 49.5969273561140014_dp, 49.5968967428169023_dp, 49.5967842048097012_dp, &
+         & 49.5964842175820024_dp, 49.5958276916130032_dp, 49.5945703227072983_dp, 49.5923836127037987_dp, &
+         & 49.5888489459631003_dp, 49.5834550335170974_dp, 49.5755989544265034_dp, 49.5645909331145020_dp, &
+         & 49.5496628926874010_dp, 49.5299807182519984_dp, 49.5046600520676989_dp, 49.4727853253962024_dp, &
+         & 49.4334316116702013_dp, 49.3856887637928992_dp, 49.3286871770955031_dp, 49.2616244018740019_dp, &
+         & 49.1837917208167994_dp, 49.0945997156644012_dp, 48.9936017869094016_dp, 48.8805145766350009_dp, &
+         & 48.7552342954056002_dp, 48.6178480841308982_dp, 48.4686397571447998_dp, 48.3080895658162035_dp, &
+         & 48.1368679689902024_dp, 47.9558237589001024_dp, 47.7659672220331970_dp, 47.5684492686145006_dp, &
+         & 47.3645376092607009_dp, 47.1555910811614964_dp, 46.9430331408512984_dp, 46.7283253783544978_dp, &
+         & 46.5129417114910026_dp, 46.2983437321664013_dp, 46.0859575302975983_dp, 45.8771522299049010_dp, &
+         & 45.6732204319387023_dp, 45.4753607520638994_dp, 45.2846626455957022_dp, 45.1020937052709030_dp, &
+         & 44.9284895882750988_dp, 44.7645466753804016_dp, 44.6108174946240013_dp, 44.4677088668489020_dp, &
+         & 44.3354826626377019_dp, 44.2142590079108970_dp, 44.1040217415651981_dp, 44.0046259110157010_dp, &
+         & 43.9158070853266977_dp, 43.8371922647481966_dp, 43.7683121646109967_dp, 43.7086146470411023_dp, &
+         & 43.6574790641371990_dp, 43.6142312611845995_dp, 43.5781589695790998_dp, 43.5485272987164009_dp, &
+         & 43.5245940169785968_dp, 43.5056242970970004_dp, 43.4909045934476026_dp, 43.4797553207570999_dp, &
+         & 43.4715420172370983_dp, 43.4656847015303001_dp, 43.4616651724175966_dp, 43.4590320523909028_dp, &
+         & 43.4574034393926993_dp, 43.4564671028526988_dp, 43.4559782375115020_dp, 43.4557548678661973_dp, &
+         & 43.4556710737099010_dp, 43.4556482796213004_dp, 43.4556449152599029_dp, 43.4556446182508012_dp, &
+         & 43.4556387985041965_dp, 43.4555993688544007_dp, 43.4554544211439975_dp, 43.4550680426372011_dp, &
+         & 43.4542224569991973_dp, 43.4526030373992000_dp, 43.4497867844487971_dp, 43.4452347865394017_dp, &
+         & 43.4382890932295993_dp, 43.4281743323164022_dp, 43.4140042860977005_dp, 43.3947935099772977_dp, &
+         & 43.3694739255344999_dp, 43.3369161504756022_dp, 43.2959551417604018_dp, 43.2454195307936970_dp, &
+         & 43.1841638291997967_dp, 43.1111024918703976_dp, 43.0252446548269987_dp, 42.9257282348976972_dp, &
+         & 42.8118520027647023_dp, 42.6831042362511965_dp, 42.5391866400089000_dp, 42.3800323897916016_dp, &
+         & 42.2058174257045025_dp, 42.0169644695387987_dp, 41.8141396517506010_dp, 41.5982420619159967_dp, &
+         & 41.3703869270568987_dp, 41.1318834172479981_dp, 40.8842082351483995_dp, 40.6289761563149980_dp, &
+         & 40.3679085809537028_dp, 40.1028009955204965_dp, 39.8354900901460027_dp, 39.5678211801909967_dp, &
+         & 39.3016165465384972_dp, 39.0386453158562006_dp, 38.7805955092570969_dp, 38.5290488596761023_dp, &
+         & 38.2854589166514003_dp, 38.0511328249363032_dp, 37.8272169993538014_dp, 37.6146867482140976_dp, &
+         & 37.4143397452526969_dp, 37.2267931317144019_dp, 37.0524839528165018_dp, 36.8916725948494033_dp, &
+         & 36.7444488833008975_dp, 36.6107405184372965_dp, 36.4903235522268972_dp, 36.3828346402071006_dp, &
+         & 36.2877848269695988_dp, 36.2045746399340018_dp, 36.1325102708562014_dp, 36.0708206178667012_dp, &
+         & 36.0186749440527976_dp, 35.9752008841674993_dp, 35.9395025022286987_dp, 35.9106780734096986_dp, &
+         & 35.8878372377743986_dp, 35.8701171551319007_dp, 35.8566972832693978_dp, 35.8468124091210001_dp, &
+         & 35.8397635861341968_dp, 35.8349266721472972_dp, 35.8317582200565994_dp, 35.8297985467035005_dp, &
+         & 35.8286718907307034_dp, 35.8280836636399016_dp, 35.8278148952804969_dp, 35.8277140705786010_dp, &
+         & 35.8276866437761967_dp, 35.8276825956361975_dp, 35.8276822709253011_dp, 35.8276762783619986_dp, &
+         & 35.8276356778564988_dp, 35.8274864259922978_dp, 35.8270885744653000_dp, 35.8262178817919974_dp, &
+         & 35.8245503845382984_dp, 35.8216505408077026_dp, 35.8169634827442991_dp, 35.8098118268364018_dp, &
+         & 35.7993973892088988_dp, 35.7848080355231986_dp, 35.7650297590747996_dp, 35.7389639244631994_dp, &
+         & 35.7054494376507989_dp, 35.6632894086612993_dp, 35.6112816660668017_dp, 35.5482522717637011_dp, &
+         & 35.4730909828022973_dp, 35.3847874295443034_dp, 35.2824666432425005_dp, 35.1654224884448965_dp, &
+         & 35.0331475516792992_dp, 34.8853581188251027_dp, 34.7220130443307013_dp, 34.5433255728288984_dp, &
+         & 34.3497675053509965_dp, 34.1420654864320028_dp, 33.9211895948619997_dp, 33.6883348141070016_dp, &
+         & 33.4448963018945022_dp, 33.1924396400728980_dp, 32.9326674039154028_dp, 32.6673834375618029_dp, &
+         & 32.3984561686176988_dp, 32.1277821633927019_dp, 31.8572509464314990_dp, 31.5887119157528993_dp, &
+         & 31.3239440033398999_dp, 31.0646285719112996_dp, 30.8123259047398008_dp, 30.5684555277920005_dp, &
+         & 30.3342804929710006_dp, 30.1108956414071010_dp, 29.8992197568399014_dp, 29.6999914177219004_dp, &
+         & 29.5137682724318005_dp, 29.3409294035739983_dp, 29.1816804190649997_dp, 29.0360609082554006_dp, &
+         & 28.9039539245084001_dp, 28.7850971924297987_dp, 28.6790957788000007_dp, 28.5854360030003996_dp, &
+         & 28.5035003895335990_dp, 28.4325834788645011_dp, 28.3719083124349005_dp, 28.3206433943823015_dp, &
+         & 28.2779199087663002_dp, 28.2428489405054997_dp, 28.2145384149679010_dp, 28.1921094397890997_dp, &
+         & 28.1747117075832989_dp, 28.1615376040032999_dp, 28.1518346656872005_dp, 28.1449160495667989_dp, &
+         & 28.1401687101242004_dp, 28.1370590343153992_dp, 28.1351357534090987_dp, 28.1340300338885001_dp, &
+         & 28.1334527416929987_dp, 28.1331889705322986_dp, 28.1330900206063994_dp, 28.1330631038031989_dp, &
+         & 28.1330591309384985_dp, 28.1330588245130002_dp, 28.1330533220934988_dp, 28.1330160423892011_dp, &
+         & 28.1328789982064009_dp, 28.1325136883754006_dp, 28.1317142149426012_dp, 28.1301831207680983_dp, &
+         & 28.1275205135370996_dp, 28.1232169743643006_dp, 28.1166506704778989_dp, 28.1070890000204017_dp, &
+         & 28.0936949901829998_dp, 28.0755385449383006_dp, 28.0516124935121987_dp, 28.0208532250236999_dp, &
+         & 27.9821655104647995_dp, 27.9344509156290002_dp, 27.8766390065072009_dp, 27.8077203543517015_dp, &
+         & 27.7267801762457005_dp, 27.6330313155769005_dp, 27.5258451923213983_dp, 27.4047793506041018_dp, &
+         & 27.2696003114951004_dp, 27.1203006069653014_dp, 26.9571091226458996_dp, 26.7804941993190013_dp, &
+         & 26.5911593131011017_dp, 26.3900315409299999_dp, 26.1782433852416005_dp, 25.9571088441239013_dp, &
+         & 25.7280948424518989_dp, 25.4927892705492987_dp, 25.2528669112895017_dp, 25.0100544908055014_dp, &
+         & 24.7660959875715001_dp, 24.5227192052863003_dp, 24.2816044752998010_dp, 24.0443562123139003_dp, &
+         & 23.8124779020045985_dp, 23.5873509466511990_dp, 23.3702176325156010_dp, 23.1621683140031998_dp, &
+         & 22.9641327440077987_dp, 22.7768753303529010_dp, 22.6009939777713988_dp, 22.4369220926950987_dp, &
+         & 22.2849332878714002_dp, 22.1451483231532009_dp, 22.0175438505281988_dp, 21.9019625853922015_dp, &
+         & 21.7981245911646013_dp, 21.7056394302891000_dp, 21.6240189931056008_dp, 21.5526908611750017_dp, &
+         & 21.4910120901004014_dp, 21.4382833078162989_dp, 21.3937630187535994_dp, 21.3566819848504004_dp, &
+         & 21.3262575247885984_dp, 21.3017075375990004_dp, 21.2822640207748996_dp, 21.2671858212163016_dp, &
+         & 21.2557703343247013_dp, 21.2473638563581986_dp, 21.2413703006930987_dp, 21.2372580116190015_dp, &
+         & 21.2345644499065003_dp, 21.2328985813321012_dp, 21.2319408698694012_dp, 21.2314408574648006_dp, &
+         & 21.2312123975050007_dp, 21.2311266942604995_dp, 21.2311033808975012_dp, 21.2310999398939018_dp, &
+         & 21.2310996793513986_dp, 21.2310950638687999_dp, 21.2310637932988016_dp, 21.2309488394408987_dp, &
+         & 21.2306424151614017_dp, 21.2299718156600008_dp, 21.2286875471220995_dp, 21.2264542238254990_dp, &
+         & 21.2228446614867003_dp, 21.2173375325046010_dp, 21.2093188755016016_dp, 21.1980876641367004_dp, &
+         & 21.1828655353584985_dp, 21.1628106525694015_dp, 21.1370355336391995_dp, 21.1046285088173988_dp, &
+         & 21.0646782939435013_dp, 21.0163009780131986_dp, 20.9586685426514983_dp, 20.8910378687514005_dp, &
+         & 20.8127790586638994_dp, 20.7234018272827996_dp, 20.6225787069048998_dp, 20.5101638799024997_dp, &
+         & 20.3862066054021014_dp, 20.2509584394910007_dp, 20.1048737529344983_dp, 19.9486034075709995_dp, &
+         & 19.7829818364504995_dp, 19.6090081516973989_dp, 19.4278222436316987_dp, 19.2406771018515990_dp, &
+         & 19.0489087567096007_dp, 18.8539052912759004_dp, 18.6570763066540017_dp, 18.4598240496539994_dp, &
+         & 18.2635171572555990_dp, 18.0694676724514984_dp, 17.8789116798493986_dp, 17.6929936324764014_dp, &
+         & 17.5127542202759017_dp, 17.3391214800819000_dp, 17.1729047676925006_dp, 17.0147911954144000_dp, &
+         & 16.8653441665877999_dp, 16.7250036931968999_dp, 16.5940882464588988_dp, 16.4727979502944990_dp, &
+         & 16.3612189761669988_dp, 16.2593290321790001_dp, 16.1670038603121000_dp, 16.0840246658931996_dp, &
+         & 16.0100864057745014_dp, 15.9448068586752996_dp, 15.8877363940485008_dp, 15.8383683451670993_dp, &
+         & 15.7961498778484994_dp, 15.7604932282873005_dp, 15.7307871621821995_dp, 15.7064084836968991_dp, &
+         & 15.6867333984894994_dp, 15.6711485124018992_dp, 15.6590612291333002_dp, 15.6499092991337996_dp, &
+         & 15.6431692705806000_dp, 15.6383636036088998_dp, 15.6350662320644993_dp, 15.6329063930153005_dp, &
+         & 15.6315705920778001_dp, 15.6308026302396996_dp, 15.6304016823552008_dp, 15.6302184853624002_dp, &
+         & 15.6301497617498999_dp, 15.6301310672519005_dp, 15.6301283079829005_dp, 15.6301281008435993_dp, &
+         & 15.6301244549587999_dp, 15.6300997535525994_dp, 15.6300089485684008_dp, 15.6297668958036002_dp, &
+         & 15.6292371691667995_dp, 15.6282226789722003_dp, 15.6264584710256003_dp, 15.6236070392812998_dp, &
+         & 15.6192564336980002_dp, 15.6129213851027000_dp, 15.6040475983404008_dp, 15.5920192815856993_dp, &
+         & 15.5761698817855994_dp, 15.5557958833807994_dp, 15.5301734012071009_dp, 15.4985771627888003_dp, &
+         & 15.4603013368659994_dp, 15.4146815334192002_dp, 15.3611171871757008_dp, 15.2990934540433994_dp, &
+         & 15.2282017096929003_dp, 15.1481577504493004_dp, 15.0588168629007004_dp, 14.9601850483572001_dp, &
+         & 14.8524258533425009_dp, 14.7358624542422003_dp, 14.6109748567265996_dp, 14.4783922826691995_dp, &
+         & 14.3388810167403999_dp, 14.1933281652913994_dp, 14.0427219408213002_dp, 13.8881292282871005_dp, &
+         & 13.7306713144770001_dp, 13.5714987609222000_dp, 13.4117664571560002_dp, 13.2526098810863999_dp, &
+         & 13.0951234962633993_dp, 12.9403420258358999_dp, 12.7892250769402995_dp, 12.6426452868649992_dp, &
+         & 12.5013798757368999_dp, 12.3661052677820003_dp, 12.2373943135188004_dp, 12.1157156118351992_dp, &
+         & 12.0014344746179997_dp, 11.8948151661297992_dp, 11.7960241529123007_dp, 11.7051341936931994_dp, &
+         & 11.6221291696839000_dp, 11.5469096006299008_dp, 11.4792988142200993_dp, 11.4190497418740993_dp, &
+         & 11.3658523083668008_dp, 11.3193413706908004_dp, 11.2791051457510996_dp, 11.2446940483225006_dp, &
+         & 11.2156298408221993_dp, 11.1914149753229992_dp, 11.1715419865555994_dp, 11.1555027735860008_dp, &
+         & 11.1427975889997004_dp, 11.1329435397345993_dp, 11.1254823952028001_dp, 11.1199874979224003_dp, &
+         & 11.1160695809837993_dp, 11.1133813161274002_dp, 11.1116204460067003_dp, 11.1105313935146999_dp, &
+         & 11.1099052881980001_dp, 11.1095784023953996_dp, 11.1094290450238002_dp, 11.1093730158286004_dp, &
+         & 11.1093577745205003_dp, 11.1093555249351006_dp, 11.1093553565715997_dp, 11.1093524000230008_dp, &
+         & 11.1093323689709997_dp, 11.1092587326947001_dp, 11.1090624453394007_dp, 11.1086328748669008_dp, &
+         & 11.1078101945002992_dp, 11.1063795416712008_dp, 11.1040672135120992_dp, 11.1005391261313999_dp, &
+         & 11.0954017160849006_dp, 11.0882054050264998_dp, 11.0784506807686007_dp, 11.0655967686513996_dp, &
+         & 11.0490727758835003_dp, 11.0282910896216997_dp, 11.0026627002302000_dp, 10.9716140099098993_dp, &
+         & 10.9346045814180002_dp, 10.8911451913398007_dp, 10.8408154874937992_dp, 10.7832805200880006_dp, &
+         & 10.7183054284265005_dp, 10.6457676225896005_dp, 10.5656659007660991_dp, 10.4781260805310001_dp, &
+         & 10.3834028844594002_dp, 10.2818779925221992_dp, 10.1740543413468991_dp, 10.0605469021627005_dp, &
+         & 9.9420702983667493_dp, 9.8194237284059707_dp, 9.6934737418376393_dp, 9.5651354786853400_dp, &
+         & 9.4353530255508797_dp, 9.3050795643433695_dp, 9.1752579862430199_dp, 9.0468026092606308_dp, &
+         & 8.9205825691508700_dp, 8.7974073514645603_dp, 8.6780148034774705_dp, 8.5630618195822805_dp, &
+         & 8.4531177462142004_dp, 8.3486604164126508_dp, 8.2500746113828800_dp, 8.1576526646454504_dp, &
+         & 8.0715968766373898_dp, 7.9920233926527802_dp, 7.9189672100262500_dp, 7.8523880145490903_dp, &
+         & 7.7921765934819600_dp, 7.7381616256377903_dp, 7.6901167013030900_dp, 7.6477674711268797_dp, &
+         & 7.6107988600026300_dp, 7.5788623074041004_dp, 7.5515830089937701_dp, 7.5285671361467301_dp, &
+         & 7.5094090018131396_dp, 7.4936981250946300_dp, 7.4810261257726598_dp, 7.4709933568455504_dp, &
+         & 7.4632151610449000_dp, 7.4573276193034204_dp, 7.4529926478519002_dp, 7.4499022980483103_dp, &
+         & 7.4477821204171297_dp, 7.4463934720309304_dp, 7.4455346736892603_dp, 7.4450409588567501_dp, &
+         & 7.4447831978129697_dp, 7.4446654252553000_dp, 7.4446212447987596_dp, 7.4446092266523998_dp, &
+         & 7.4446074527994996_dp, 7.4446073199910696_dp, 7.4446049871442703_dp, 7.4445891817700698_dp, &
+         & 7.4445310796342801_dp, 7.4443762013768504_dp, 7.4440372576730898_dp, 7.4433881536314299_dp, &
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+         & 0.0863141274847479_dp, 0.0851483331347254_dp, 0.0838277910595622_dp, 0.0823520508468860_dp, &
+         & 0.0807240229171740_dp, 0.0789500600220805_dp, 0.0770398915148576_dp, 0.0750064089580107_dp, &
+         & 0.0728653121028131_dp, 0.0706346343192195_dp, 0.0683341750947903_dp, 0.0659848733293487_dp, &
+         & 0.0636081581997558_dp, 0.0612253141143881_dp, 0.0588568929102706_dp, 0.0565222005372021_dp, &
+         & 0.0542388778583813_dp, 0.0520225868143172_dp, 0.0498868049437888_dp, 0.0478427238815726_dp, &
+         & 0.0458992415088986_dp, 0.0440630332536642_dp, 0.0423386857196704_dp, 0.0407288752371855_dp, &
+         & 0.0392345747469420_dp, 0.0378552742430216_dp, 0.0365892023983321_dp, 0.0354335396594152_dp, &
+         & 0.0343846157925469_dp, 0.0334380874174158_dp, 0.0325890933335558_dp, 0.0318323873246129_dp, &
+         & 0.0311624495594529_dp, 0.0305735787162931_dp, 0.0300599675887767_dp, 0.0296157652649924_dp, &
+         & 0.0292351290507042_dp, 0.0289122691759331_dp, 0.0286414890010107_dp, 0.0284172229578488_dp, &
+         & 0.0282340738621656_dp, 0.0280868505583385_dp, 0.0279706061606291_dp, 0.0278806764782047_dp, &
+         & 0.0278127176048315_dp, 0.0277627411583055_dp, 0.0277271453089725_dp, 0.0277027395681628_dp, &
+         & 0.0276867613319567_dp, 0.0276768823913756_dp, 0.0276712040079801_dp, 0.0276682396778654_dp, &
+         & 0.0276668853189435_dp, 0.0276663772631522_dp, 0.0276662390606859_dp, 0.0276662186623255_dp, &
+         & 0.0276662170428708_dp, 0.0276661873639483_dp, 0.0276659862854771_dp, 0.0276652471087360_dp, &
+         & 0.0276632768039988_dp, 0.0276589651907031_dp, 0.0276507092781202_dp, 0.0276363563778332_dp, &
+         & 0.0276131695511168_dp, 0.0275778188648488_dp, 0.0275264017202659_dp, 0.0274544950886124_dp, &
+         & 0.0273572417308827_dp, 0.0272294712982983_dp, 0.0270658555482939_dp, 0.0268610947654508_dp, &
+         & 0.0266101299298924_dp, 0.0263083724011537_dp, 0.0259519401521047_dp, 0.0255378872376397_dp, &
+         & 0.0250644116015764_dp, 0.0245310258794049_dp, 0.0239386768374814_dp, 0.0232898016395851_dp, &
+         & 0.0225883131784741_dp, 0.0218395119258759_dp, 0.0210499275796181_dp, 0.0202270995140452_dp, &
+         & 0.0193793099693167_dp, 0.0185152874924768_dp, 0.0176439000385287_dp, 0.0167738572116676_dp, &
+         & 0.0159134393703653_dp, 0.0150702678918293_dp, 0.0142511262211826_dp, 0.0134618361817900_dp, &
+         & 0.0127071892951776_dp, 0.0119909291955409_dp, 0.0113157787068374_dp, 0.0106835034313590_dp, &
+         & 0.0100950024909281_dp, 0.0095504165065918_dp, 0.0090492434049167_dp, 0.0085904542996928_dp, &
+         & 0.0081726039774708_dp, 0.0077939325398901_dp, 0.0074524560006992_dp, 0.0071460442828482_dp, &
+         & 0.0068724856923623_dp, 0.0066295379087720_dp, 0.0064149666455791_dp, 0.0062265739228238_dp, &
+         & 0.0060622180714489_dp, 0.0059198272930914_dp, 0.0057974081974734_dp, 0.0056930505108497_dp, &
+         & 0.0056049291181353_dp, 0.0055313046224228_dp, 0.0054705235256023_dp, 0.0054210189029078_dp, &
+         & 0.0053813121144586_dp, 0.0053500157549067_dp, 0.0053258377504832_dp, 0.0053075862897600_dp, &
+         & 0.0052941751129865_dp, 0.0052846285759500_dp, 0.0052780858443384_dp, 0.0052738035656219_dp, &
+         & 0.0052711564137482_dp, 0.0052696350030885_dp, 0.0052688408168962_dp, 0.0052684779757399_dp, &
+         & 0.0052683418661914_dp, 0.0052683048415432_dp, 0.0052682993767945_dp, 0.0052682989389368_dp, &
+         & 0.0052682908644570_dp, 0.0052682361589831_dp, 0.0052680350596930_dp, 0.0052674990322643_dp, &
+         & 0.0052663260987558_dp, 0.0052640803631405_dp, 0.0052601768005616_dp, 0.0052538724097033_dp, &
+         & 0.0052442648517967_dp, 0.0052302996784945_dp, 0.0052107871456144_dp, 0.0051844293717167_dp, &
+         & 0.0051498581941090_dp, 0.0051056834774954_dp, 0.0050505508503420_dp, 0.0049832069220273_dp, &
+         & 0.0049025690474451_dp, 0.0048077957537487_dp, 0.0046983531406255_dp, 0.0045740720274097_dp, &
+         & 0.0044351904829867_dp, 0.0042823767932561_dp, 0.0041167290637034_dp, 0.0039397495935134_dp, &
+         & 0.0037532947217258_dp, 0.0035595035386748_dp, 0.0033607110150413_dp, 0.0031593522375672_dp, &
+         & 0.0029578645303232_dp, 0.0027585937373260_dp, 0.0025637104257115_dp, 0.0023751412634780_dp, &
+         & 0.0021945195256450_dp, 0.0020231560888320_dp, 0.0018620293900113_dp, 0.0017117912718660_dp, &
+         & 0.0015727861747408_dp, 0.0014450829791315_dp, 0.0013285188414045_dp, 0.0012227505609843_dp, &
+         & 0.0011273051030542_dp, 0.0010416208122521_dp, 0.0009650749684269_dp, 0.0008970015906584_dp, &
+         & 0.0008367087937629_dp, 0.0007835003486676_dp, 0.0007366996441718_dp, 0.0006956714519788_dp, &
+         & 0.0006598343686051_dp, 0.0006286603891539_dp, 0.0006016675504839_dp, 0.0005784137272187_dp, &
+         & 0.0005584933236733_dp, 0.0005415348616040_dp, 0.0005271988458091_dp, 0.0005151761985616_dp, &
+         & 0.0005051865635437_dp, 0.0004969755860671_dp, 0.0004903114271286_dp, 0.0004849815574204_dp, &
+         & 0.0004807905820385_dp, 0.0004775591574955_dp, 0.0004751236660496_dp, 0.0004733362771532_dp, &
+         & 0.0004720651398387_dp, 0.0004711945525599_dp, 0.0004706250100668_dp, 0.0004702730456927_dp, &
+         & 0.0004700707966521_dp, 0.0004699652321918_dp, 0.0004699170052618_dp, 0.0004698989147016_dp, &
+         & 0.0004698939937313_dp, 0.0004698932674074_dp, 0.0004698932087237_dp, 0.0004698921206341_dp, &
+         & 0.0004698847486893_dp, 0.0004698576492643_dp, 0.0004697854170814_dp, 0.0004696273636924_dp, &
+         & 0.0004693247684600_dp, 0.0004687988542145_dp, 0.0004679496518207_dp, 0.0004666559342397_dp, &
+         & 0.0004647764207633_dp, 0.0004621524747961_dp, 0.0004586125331301_dp, 0.0004539784833923_dp, &
+         & 0.0004480740841259_dp, 0.0004407352178646_dp, 0.0004318212588004_dp, 0.0004212263176981_dp, &
+         & 0.0004088890224381_dp, 0.0003948000440914_dp, 0.0003790071990721_dp, 0.0003616175946348_dp, &
+         & 0.0003427954424637_dp, 0.0003227560712418_dp, 0.0003017625443391_dp, 0.0002801308796521_dp, &
+         & 0.0002582302193517_dp, 0.0002364475706997_dp, 0.0002151274501614_dp, 0.0001945524239630_dp, &
+         & 0.0001749522171153_dp, 0.0001564837331074_dp, 0.0001392585389226_dp, 0.0001233929672182_dp, &
+         & 1.0895193145188400e-04_dp, 9.5908908917863300e-05_dp, 8.4178019449154804e-05_dp, 7.3622902540648697e-05_dp, &
+         & 6.4111948958611706e-05_dp, 5.5627551709846998e-05_dp, 4.8181342584996401e-05_dp, 4.1572517368138099e-05_dp, &
+         & 3.5877695623298698e-05_dp, 3.0661321503089298e-05_dp, 2.5209320810404299e-05_dp, 2.0053181941648301e-05_dp, &
+         & 1.5464488747340999e-05_dp, 1.1073265007155399e-05_dp, 7.1720740280056799e-06_dp, 4.0505994149952997e-06_dp, &
+         & 2.2541038973145099e-06_dp, 1.6159374141011500e-06_dp, 6.8145256193474800e-07_dp, 1.0618569632470101e-06_dp, &
+         & 1.4230490990030401e-06_dp, 1.4111820405560100e-06_dp, 1.2420049486649999e-06_dp, 1.0556449296927901e-06_dp, &
+         & 9.2044701460736199e-07_dp, 8.4065811023492600e-07_dp, 7.8646963430628603e-07_dp, 7.2824396113446699e-07_dp, &
+         & 6.5220122991149797e-07_dp, 5.5898043171964705e-07_dp, 4.5671976778294302e-07_dp, 3.5517059160383703e-07_dp, &
+         & -2.1316282072802999e-14_dp, -7.1054273576010003e-15_dp, -1.4210854715202001e-14_dp, -2.1316282072802999e-14_dp, &
+         & -1.4210854715202001e-14_dp, -2.1316282072802999e-14_dp, -2.1316282072802999e-14_dp, -1.4210854715202001e-14_dp, &
+         & -2.1316282072802999e-14_dp &
+         &]
+      case (53)
+         out = [&
+         & 53.0000000000000000_dp, 52.9999999496901992_dp, 52.9999983940120032_dp, 52.9999878540459974_dp, &
+         & 52.9999491077585034_dp, 52.9998458224036000_dp, 52.9996197748935032_dp, 52.9991868284066001_dp, &
+         & 52.9984338104709991_dp, 52.9972164101289991_dp, 52.9953581805349998_dp, 52.9926506996474984_dp, &
+         & 52.9888549069263988_dp, 52.9837035996203980_dp, 52.9769050397852013_dp, 52.9681475939370969_dp, &
+         & 52.9571053022187996_dp, 52.9434442536630030_dp, 52.9268296285332980_dp, 52.9069332570978972_dp, &
+         & 52.8834415353029001_dp, 52.8560635300574972_dp, 52.8245390986205976_dp, 52.7886468367339035_dp, &
+         & 52.7482116583827008_dp, 52.7031117973187975_dp, 52.6532850089962992_dp, 52.5987337447632015_dp, &
+         & 52.5395290720805974_dp, 52.4758131291631003_dp, 52.4077999327327007_dp, 52.3357744047637965_dp, &
+         & 52.2600895470405007_dp, 52.1811617675164996_dp, 52.0994644442078965_dp, 52.0155198937182988_dp, &
+         & 51.9298899852540998_dp, 51.8431657007065994_dp, 51.7559559823361965_dp, 51.6688762293700989_dp, &
+         & 51.5825368034381029_dp, 51.4975318824112023_dp, 51.4144289667106023_dp, 51.3337592962190001_dp, &
+         & 51.2560093844056013_dp, 51.1816138235574982_dp, 51.1109494645588001_dp, 51.0443310288513032_dp, &
+         & 50.9820081703051997_dp, 50.9241639710309002_dp, 50.8709148272643006_dp, 50.8223116584915005_dp, &
+         & 50.7783423538966971_dp, 50.7389353539694028_dp, 50.7039642508114028_dp, 50.6732532777207965_dp, &
+         & 50.6465835466532965_dp, 50.6236998811467984_dp, 50.6043180824554995_dp, 50.5881324584352967_dp, &
+         & 50.5748234387356987_dp, 50.5640650967623984_dp, 50.5555323993600965_dp, 50.5489080098164010_dp, &
+         & 50.5438884790749015_dp, 50.5401896741985013_dp, 50.5375513121668973_dp, 50.5357404907280028_dp, &
+         & 50.5345541357249033_dp, 50.5338203152824974_dp, 50.5333984044556033_dp, 50.5331781182638977_dp, &
+         & 50.5330774652363033_dp, 50.5330397064147974_dp, 50.5330294350625024_dp, 50.5330279190310989_dp, &
+         & 50.5330277201597013_dp, 50.5330230866956001_dp, 50.5329916942754025_dp, 50.5328762921298988_dp, &
+         & 50.5325686701662988_dp, 50.5318954357910002_dp, 50.5306060683913998_dp, 50.5283637130603012_dp, &
+         & 50.5247391095439013_dp, 50.5192079772835001_dp, 50.5111520932382021_dp, 50.4998642062112992_dp, &
+         & 50.4845568300480991_dp, 50.4643748490061981_dp, 50.4384117528593023_dp, 50.4057291982451972_dp, &
+         & 50.3653794680190998_dp, 50.3164302737449987_dp, 50.2579912202701991_dp, 50.1892411291000968_dp, &
+         & 50.1094553048109006_dp, 50.0180317353432997_dp, 49.9145151562315021_dp, 49.7986178977953031_dp, &
+         & 49.6702364912560981_dp, 49.5294631493242008_dp, 49.3765914644421997_dp, 49.2121159745040018_dp, &
+         & 49.0367256054380007_dp, 48.8512913716214001_dp, 48.6568490498057002_dp, 48.4545777939864024_dp, &
+         & 48.2457757953569981_dp, 48.0318341034378022_dp, 47.8142096267576022_dp, 47.5943981595590984_dp, &
+         & 47.3739080807548021_dp, 47.1542351866143008_dp, 46.9368389803619976_dp, 46.7231206618244030_dp, &
+         & 46.5144030312210006_dp, 46.3119125223321007_dp, 46.1167635861323006_dp, 45.9299456352918014_dp, &
+         & 45.7523127217506982_dp, 45.5845760548329011_dp, 45.4272993863483023_dp, 45.2808972062488024_dp, &
+         & 45.1456356207314968_dp, 45.0216357323010001_dp, 44.9088793099940986_dp, 44.8072165243900997_dp, &
+         & 44.7163755198362978_dp, 44.6359735986493007_dp, 44.5655297932094001_dp, 44.5044785982044999_dp, &
+         & 44.4521846253483019_dp, 44.4079579270714007_dp, 44.3710697156949010_dp, 44.3407681830024032_dp, &
+         & 44.3162941049188035_dp, 44.2968959002682965_dp, 44.2818438042593030_dp, 44.2704428189875969_dp, &
+         & 44.2620441168483012_dp, 44.2560545995403984_dp, 44.2519443556876979_dp, 44.2492518133511012_dp, &
+         & 44.2475864483056966_dp, 44.2466289824007006_dp, 44.2461290854561966_dp, 44.2459006753412964_dp, &
+         & 44.2458149903244973_dp, 44.2457916818755024_dp, 44.2457882415955979_dp, 44.2457879378843018_dp, &
+         & 44.2457819868120978_dp, 44.2457416674122967_dp, 44.2455934488884992_dp, 44.2451983516064971_dp, &
+         & 44.2443336852061009_dp, 44.2426777239084998_dp, 44.2397979254036997_dp, 44.2351432230290982_dp, &
+         & 44.2280408322436998_dp, 44.2176979102656986_dp, 44.2032082900532970_dp, 44.1835643743471991_dp, &
+         & 44.1576741207124996_dp, 44.1243828743647981_dp, 44.0824996143243979_dp, 44.0308269753731025_dp, &
+         & 43.9681942020120999_dp, 43.8934919930611969_dp, 43.8057080215275008_dp, 43.7039617806543035_dp, &
+         & 43.5875373311494982_dp, 43.4559125231431977_dp, 43.3087833533674029_dp, 43.1460823020936033_dp, &
+         & 42.9679897755530007_dp, 42.7749381452146977_dp, 42.5676082961615023_dp, 42.3469190264950015_dp, &
+         & 42.1140100202969023_dp, 41.8702193923304975_dp, 41.6170569381076021_dp, 41.3561742187228987_dp, &
+         & 41.0893325048649984_dp, 40.8183694612639982_dp, 40.5451653320931982_dp, 40.2716093238274979_dp, &
+         & 39.9995668729418981_dp, 39.7308485010003025_dp, 39.4671809585472033_dp, 39.2101813102314978_dp, &
+         & 38.9613345054404974_dp, 38.7219748209965999_dp, 38.4932713787247991_dp, 38.2762177587175003_dp, &
+         & 38.0716255725514969_dp, 37.8801217442193021_dp, 37.7021491748164976_dp, 37.5379704363814994_dp, &
+         & 37.3876741417119973_dp, 37.2511836592047985_dp, 37.1282678737794996_dp, 37.0185537275269994_dp, &
+         & 36.9215403001930014_dp, 36.8366142058459971_dp, 36.7630660863140974_dp, 36.7001079742802006_dp, &
+         & 36.6468912808598972_dp, 36.6025251366709981_dp, 36.5660947852465981_dp, 36.5366796970549998_dp, &
+         & 36.5133710455066023_dp, 36.4952881672654996_dp, 36.4815936216875016_dp, 36.4715064713766992_dp, &
+         & 36.4643134298288984_dp, 36.4593775638468003_dp, 36.4561442974615986_dp, 36.4541445386819021_dp, &
+         & 36.4529948374487986_dp, 36.4523945786203001_dp, 36.4521203128525997_dp, 36.4520174258816994_dp, &
+         & 36.4519894380919993_dp, 36.4519853071515030_dp, 36.4519849757990002_dp, 36.4519788606639992_dp, &
+         & 36.4519374297171979_dp, 36.4517851250663014_dp, 36.4513791359548023_dp, 36.4504906344989976_dp, &
+         & 36.4487890317651022_dp, 36.4458298797834033_dp, 36.4410469677482993_dp, 36.4337490710692009_dp, &
+         & 36.4231217084252989_dp, 36.4082341420619997_dp, 36.3880517176745997_dp, 36.3614534805154008_dp, &
+         & 36.3272548236511028_dp, 36.2842347249534001_dp, 36.2311669170493005_dp, 36.1668541183759018_dp, &
+         & 36.0901642465438997_dp, 36.0000673533124029_dp, 35.8956718813008990_dp, 35.7762587639310965_dp, &
+         & 35.6413118877854984_dp, 35.4905435220241969_dp, 35.3239134975106026_dp, 35.1416411850917996_dp, &
+         & 34.9442096645161016_dp, 34.7323618693745999_dp, 34.5070889074286029_dp, 34.2696111527465987_dp, &
+         & 34.0213530489619984_dp, 33.7639128201385006_dp, 33.4990284372316012_dp, 33.2285412297015981_dp, &
+         & 32.9543584756387986_dp, 32.6784161752421980_dp, 32.4026430435320023_dp, 32.1289265788702991_dp, &
+         & 31.8590818952924018_dp, 31.5948238573142994_dp, 31.3377429229138009_dp, 31.0892849746731983_dp, &
+         & 30.8507352920984985_dp, 30.6232066873421012_dp, 30.4076316972247014_dp, 30.2047586076843011_dp, &
+         & 30.0151509949040012_dp, 29.8391904092727991_dp, 29.6770818065281006_dp, 29.5288613407239993_dp, &
+         & 29.3944061670559016_dp, 29.2734459479645999_dp, 29.1655758028196992_dp, 29.0702704815494997_dp, &
+         & 28.9868995704865995_dp, 28.9147435518869997_dp, 28.8530105368733985_dp, 28.8008534765202988_dp, &
+         & 28.7573876302802987_dp, 28.7217080386699983_dp, 28.6929067123815997_dp, 28.6700892173555992_dp, &
+         & 28.6523903094406016_dp, 28.6389882573584984_dp, 28.6291174923954017_dp, 28.6220792401727984_dp, &
+         & 28.6172498253416983_dp, 28.6140863939345991_dp, 28.6121298687674006_dp, 28.6110050376001013_dp, &
+         & 28.6104177675481992_dp, 28.6101494374556999_dp, 28.6100487773225005_dp, 28.6100213953018994_dp, &
+         & 28.6100173537722000_dp, 28.6100170420505009_dp, 28.6100114445298992_dp, 28.6099735205016010_dp, &
+         & 28.6098341077214009_dp, 28.6094624841234015_dp, 28.6086491933894003_dp, 28.6070916382867004_dp, &
+         & 28.6043830179586003_dp, 28.6000051165770017_dp, 28.5933253709429991_dp, 28.5835985517871016_dp, &
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+         & 1.0868953812960200_dp, 1.0751574743395200_dp, 1.0624317488389601_dp, 1.0487814472687200_dp, &
+         & 1.0342882932712500_dp, 1.0190503431719999_dp, 1.0031792623129501_dp, 0.9867971817152820_dp, &
+         & 0.9700333110045490_dp, 0.9530204885673680_dp, 0.9358918398526650_dp, 0.9187776916799630_dp, &
+         & 0.9018028578551950_dp, 0.8850843735940190_dp, 0.8687297175967790_dp, 0.8528355249850530_dp, &
+         & 0.8374867646170540_dp, 0.8227563322769740_dp, 0.8087049974169250_dp, 0.7953816350383530_dp, &
+         & 0.7828236747285620_dp, 0.7710577042146700_dp, 0.7601001733664390_dp, 0.7499581548082690_dp, &
+         & 0.7406301279035080_dp, 0.7321067629013310_dp, 0.7243716908683100_dp, 0.7174022523233670_dp, &
+         & 0.7111702231313330_dp, 0.7056425202051880_dp, 0.7007818920253190_dp, 0.6965476000540600_dp, &
+         & 0.6928960969725750_dp, 0.6897817064673220_dp, 0.6871573072281270_dp, 0.6849750210790830_dp, &
+         & 0.6831869019652430_dp, 0.6817456190949970_dp, 0.6806051241560170_dp, 0.6797212894564880_dp, &
+         & 0.6790525013719700_dp, 0.6785601918590630_dp, 0.6782092902396640_dp, 0.6779685781025649_dp, &
+         & 0.6778109320587190_dp, 0.6777134421616610_dp, 0.6776573979019670_dp, 0.6776281385453590_dp, &
+         & 0.6776147698857860_dp, 0.6776097548695010_dp, 0.6776083906662580_dp, 0.6776081893128140_dp, &
+         & 0.6776081738452790_dp, 0.6776078969117380_dp, 0.6776060206478500_dp, 0.6775991233286550_dp, &
+         & 0.6775807378025011_dp, 0.6775405025148800_dp, 0.6774634509061170_dp, 0.6773294693399020_dp, &
+         & 0.6771129512553600_dp, 0.6767826722751520_dp, 0.6763019072433490_dp, 0.6756288052179040_dp, &
+         & 0.6747170318858120_dp, 0.6735166803461180_dp, 0.6719754405216420_dp, 0.6700400046855960_dp, &
+         & 0.6676576721527280_dp, 0.6647781009309530_dp, 0.6613551393152260_dp, 0.6573486576234590_dp, &
+         & 0.6527262912860790_dp, 0.6474650029948280_dp, 0.6415523749152779_dp, 0.6349875527362060_dp, &
+         & 0.6277817813473090_dp, 0.6199584959997611_dp, 0.6115529607917340_dp, 0.6026114754475460_dp, &
+         & 0.5931901985776020_dp, 0.5833536580753180_dp, 0.5731730348469380_dp, 0.5627243134842890_dp, &
+         & 0.5520863927106420_dp, 0.5413392404309150_dp, 0.5305621647637080_dp, 0.5198322557019920_dp, &
+         & 0.5092230342406480_dp, 0.4988033288117960_dp, 0.4886363840572660_dp, 0.4787791951213900_dp, &
+         & 0.4692820520075570_dp, 0.4601882729327540_dp, 0.4515341026045970_dp, 0.4433487503946410_dp, &
+         & 0.4356545439553870_dp, 0.4284671754609450_dp, 0.4217960199729380_dp, 0.4156445081643550_dp, &
+         & 0.4100105385648620_dp, 0.4048869174554350_dp, 0.4002618174001360_dp, 0.3961192480270910_dp, &
+         & 0.3924395349448770_dp, 0.3891998044935510_dp, 0.3863744732972800_dp, 0.3839357422467490_dp, &
+         & 0.3818540945738600_dp, 0.3800987971085380_dp, 0.3786384026975970_dp, 0.3774412502324790_dp, &
+         & 0.3764759569315070_dp, 0.3757118956423330_dp, 0.3751196481733170_dp, 0.3746714242391250_dp, &
+         & 0.3743414346990330_dp, 0.3741062075310570_dp, 0.3739448355141660_dp, 0.3738391459189430_dp, &
+         & 0.3737737845893680_dp, 0.3737362095290920_dp, 0.3737165923134360_dp, 0.3737076291259600_dp, &
+         & 0.3737042667379030_dp, 0.3737033520880570_dp, 0.3737032170877010_dp, 0.3737032066381120_dp, &
+         & 0.3737030185166790_dp, 0.3737017439671040_dp, 0.3736970586012730_dp, 0.3736845692377030_dp, &
+         & 0.3736572370861070_dp, 0.3736048947197830_dp, 0.3735138770817770_dp, 0.3733667849622580_dp, &
+         & 0.3731423972356680_dp, 0.3728157454856170_dp, 0.3723583612522030_dp, 0.3717387017744120_dp, &
+         & 0.3709227545742660_dp, 0.3698748144374660_dp, 0.3685584183425660_dp, 0.3669374149313570_dp, &
+         & 0.3649771356865660_dp, 0.3626456258020740_dp, 0.3599148846938930_dp, 0.3567620601935100_dp, &
+         & 0.3531705376418590_dp, 0.3491308661204190_dp, 0.3446414693378300_dp, 0.3397090982030590_dp, &
+         & 0.3343489953242480_dp, 0.3285847575705670_dp, 0.3224479000656540_dp, 0.3159771420172110_dp, &
+         & 0.3092174501389170_dp, 0.3022188878313800_dp, 0.2950353268801390_dp, 0.2877230827686430_dp, &
+         & 0.2803395348040210_dp, 0.2729417884988980_dp, 0.2655854307103380_dp, 0.2583234187360760_dp, &
+         & 0.2512051338103940_dp, 0.2442756181096400_dp, 0.2375750032841000_dp, 0.2311381283694300_dp, &
+         & 0.2249943362432280_dp, 0.2191674309560480_dp, 0.2136757734803540_dp, 0.2085324907126780_dp, &
+         & 0.2037457718028580_dp, 0.1993192268175290_dp, 0.1952522850293330_dp, 0.1915406133742510_dp, &
+         & 0.1881765394407250_dp, 0.1851494673767960_dp, 0.1824462790026400_dp, 0.1800517159339780_dp, &
+         & 0.1779487414631970_dp, 0.1761188831829800_dp, 0.1745425588076800_dp, 0.1731993883439530_dp, &
+         & 0.1720684957291920_dp, 0.1711288023800610_dp, 0.1703593139028210_dp, 0.1697393996648420_dp, &
+         & 0.1692490631930850_dp, 0.1688691996370370_dp, 0.1685818349964020_dp, 0.1683703406380350_dp, &
+         & 0.1682196159465760_dp, 0.1681162318650420_dp, 0.1680485286187900_dp, 0.1680066620617420_dp, &
+         & 0.1679825947569710_dp, 0.1679700299794860_dp, 0.1679642891486490_dp, 0.1679621355841970_dp, &
+         & 0.1679615497642640_dp, 0.1679614632985390_dp, 0.1679614565514810_dp, 0.1679613343847000_dp, &
+         & 0.1679605066878980_dp, 0.1679574640034720_dp, 0.1679493534513410_dp, 0.1679316043529370_dp, &
+         & 0.1678976151837970_dp, 0.1678385154871480_dp, 0.1677430154848660_dp, 0.1675973550244830_dp, &
+         & 0.1673853620382600_dp, 0.1670886286509660_dp, 0.1666868102358020_dp, 0.1661580488924840_dp, &
+         & 0.1654795178950580_dp, 0.1646280776471870_dp, 0.1635810267716880_dp, 0.1623169245245460_dp, &
+         & 0.1608164533273710_dp, 0.1590632835800390_dp, 0.1570448978665770_dp, 0.1547533290130690_dp, &
+         & 0.1521857668923590_dp, 0.1493449928434320_dp, 0.1462396081870660_dp, 0.1428840342630910_dp, &
+         & 0.1392982749532340_dp, 0.1355074476866210_dp, 0.1315411040967050_dp, 0.1274323753666810_dp, &
+         & 0.1232169885162260_dp, 0.1189322073708180_dp, 0.1146157550523910_dp, 0.1103047733693360_dp, &
+         & 0.1060348687951350_dp, 0.1018392855832030_dp, 0.0977482350619852_dp, 0.0937883975461631_dp, &
+         & 0.0899826008378923_dp, 0.0863496680752291_dp, 0.0829044185373817_dp, 0.0796577984331250_dp, &
+         & 0.0766171148316843_dp, 0.0737863446032350_dp, 0.0711664911510326_dp, 0.0687559643379316_dp, &
+         & 0.0665509627822942_dp, 0.0645458420865523_dp, 0.0627334570995615_dp, 0.0611054706358800_dp, &
+         & 0.0596526249231957_dp, 0.0583649752694910_dp, 0.0572320879647776_dp, 0.0562432062514091_dp, &
+         & 0.0553873893497610_dp, 0.0546536300740570_dp, 0.0540309565923209_dp, 0.0535085234584756_dp, &
+         & 0.0530756962571175_dp, 0.0527221331434831_dp, 0.0524378653224957_dp, 0.0522133771897373_dp, &
+         & 0.0520396855518541_dp, 0.0519084161552001_dp, 0.0518118747716088_dp, 0.0517431093999505_dp, &
+         & 0.0516959597992468_dp, 0.0516650906019649_dp, 0.0516460046611869_dp, 0.0516350340218565_dp, &
+         & 0.0516293069051841_dp, 0.0516266902628928_dp, 0.0516257086901959_dp, 0.0516254416805282_dp, &
+         & 0.0516254022705311_dp, 0.0516253991691187_dp, 0.0516253426779869_dp, 0.0516249599432967_dp, &
+         & 0.0516235529860509_dp, 0.0516198026772727_dp, 0.0516115958407042_dp, 0.0515958811519255_dp, &
+         & 0.0515685606392466_dp, 0.0515244234613874_dp, 0.0514571284298526_dp, 0.0513592413176767_dp, &
+         & 0.0512223321775949_dp, 0.0510371364915017_dp, 0.0507937818233017_dp, 0.0504820786427373_dp, &
+         & 0.0500918701235307_dp, 0.0496134311280656_dp, 0.0490379015678641_dp, 0.0483577343294215_dp, &
+         & 0.0475671335716399_dp, 0.0466624561009112_dp, 0.0456425473650484_dp, 0.0445089849020306_dp, &
+         & 0.0432662061210252_dp, 0.0419215040297374_dp, 0.0404848835232627_dp, 0.0389687813093929_dp, &
+         & 0.0373876633724777_dp, 0.0357575238370487_dp, 0.0340953169930245_dp, 0.0324183591333949_dp, &
+         & 0.0307437381736548_dp, 0.0290877666999521_dp, 0.0274655085477562_dp, 0.0258904010656522_dp, &
+         & 0.0243739859444290_dp, 0.0229257520351140_dp, 0.0215530849803329_dp, 0.0202613115424342_dp, &
+         & 0.0190538217018172_dp, 0.0179322490554341_dp, 0.0168966896007987_dp, 0.0159459402629665_dp, &
+         & 0.0150777410187501_dp, 0.0142890076797997_dp, 0.0135760458529433_dp, 0.0129347399338613_dp, &
+         & 0.0123607139501303_dp, 0.0118494635036441_dp, 0.0113964599200784_dp, 0.0109972290152101_dp, &
+         & 0.0106474077008301_dp, 0.0103427820649742_dp, 0.0100793106628601_dp, 0.0098531366282799_dp, &
+         & 0.0096605919316062_dp, 0.0094981967212320_dp, 0.0093626562312181_dp, 0.0092508572449148_dp, &
+         & 0.0091598655915561_dp, 0.0090869256364741_dp, 0.0090294622200133_dp, 0.0089850850229354_dp, &
+         & 0.0089515949079129_dp, 0.0089269914275363_dp, 0.0089094804225098_dp, 0.0088974804749284_dp, &
+         & 0.0088896269428531_dp, 0.0088847723848460_dp, 0.0088819823750583_dp, 0.0088805259934546_dp, &
+         & 0.0088798606188760_dp, 0.0088796110233247_dp, 0.0088795431281667_dp, 0.0088795331070202_dp, &
+         & 0.0088795323114255_dp, 0.0088795177310175_dp, 0.0088794189471528_dp, 0.0088790558145888_dp, &
+         & 0.0088780878930450_dp, 0.0088759699075069_dp, 0.0088719148115928_dp, 0.0088648664063555_dp, &
+         & 0.0088534835426159_dp, 0.0088361379959210_dp, 0.0088109280832285_dp, 0.0087757099129462_dp, &
+         & 0.0087281477358516_dp, 0.0086657841182074_dp, 0.0085861295389122_dp, 0.0084867695181217_dp, &
+         & 0.0083654855802777_dp, 0.0082203843863411_dp, 0.0080500274621187_dp, 0.0078535523922554_dp, &
+         & 0.0076307754581464_dp, 0.0073822657614428_dp, 0.0071093820920538_dp, 0.0068142662147892_dp, &
+         & 0.0064997897164716_dp, 0.0061694557260381_dp, 0.0058272611832848_dp, 0.0054775292909355_dp, &
+         & 0.0051247247649115_dp, 0.0047732660568514_dp, 0.0044273486377051_dp, 0.0040907917432733_dp, &
+         & 0.0037669179870221_dp, 0.0034584714313510_dp, 0.0031675756610810_dp, 0.0028957296859247_dp, &
+         & 0.0026438365469659_dp, 0.0024122575615735_dp, 0.0022008842539947_dp, 0.0020092200770563_dp, &
+         & 0.0018364648357121_dp, 0.0016815960379546_dp, 0.0015434429704229_dp, 0.0014207508827937_dp, &
+         & 0.0013122340631995_dp, 0.0012166176803916_dp, 0.0011326690339146_dp, 0.0010592193393393_dp, &
+         & 0.0009951774478765_dp, 0.0009395370062677_dp, 0.0008913785368421_dp, 0.0008498677875153_dp, &
+         & 0.0008142515074496_dp, 0.0007838515921748_dp, 0.0007580583443954_dp, 0.0007363234300328_dp, &
+         & 0.0007181529713947_dp, 0.0007031011048042_dp, 0.0006907642312939_dp, 0.0006807761030387_dp, &
+         & 0.0006728038125203_dp, 0.0006665446852026_dp, 0.0006617240191673_dp, 0.0006580935660168_dp, &
+         & 0.0006554306067628_dp, 0.0006535374461833_dp, 0.0006522411311494_dp, 0.0006513931939338_dp, &
+         & 0.0006508692324303_dp, 0.0006505681636284_dp, 0.0006504110241252_dp, 0.0006503392361736_dp, &
+         & 0.0006503123077337_dp, 0.0006503049826918_dp, 0.0006503039015442_dp, 0.0006503038149290_dp, &
+         & 0.0006503022175934_dp, 0.0006502913954307_dp, 0.0006502516133651_dp, 0.0006501455791863_dp, &
+         & 0.0006499135777034_dp, 0.0006494694652162_dp, 0.0006486977695559_dp, 0.0006474521663478_dp, &
+         & 0.0006455556268818_dp, 0.0006428025431333_dp, 0.0006389631183765_dp, 0.0006337902494664_dp, &
+         & 0.0006270290054218_dp, 0.0006184286173436_dp, 0.0006077566375069_dp, 0.0005948146174575_dp, &
+         & 0.0005794543275073_dp, 0.0005615932422174_dp, 0.0005412278083057_dp, 0.0005184429521492_dp, &
+         & 0.0004934164243551_dp, 0.0004664169399717_dp, 0.0004377956449346_dp, 0.0004079711648757_dp, &
+         & 0.0003774092750675_dp, 0.0003465989370639_dp, 0.0003160269354439_dp, 0.0002861535023300_dp, &
+         & 0.0002573910899883_dp, 0.0002300879051020_dp, 0.0002045171163374_dp, 0.0001808719868279_dp, &
+         & 0.0001592666714885_dp, 0.0001397420185967_dp, 0.0001222753310373_dp, 0.0001067926324509_dp, &
+         & 9.3181701153355293e-05_dp, 8.1304284940131297e-05_dp, 7.1006568063580703e-05_dp, 6.2127777979981106e-05_dp, &
+         & 5.4507366819223100e-05_dp, 4.7991127431146197e-05_dp, 4.2435944543228702e-05_dp, 3.7712583889515399e-05_dp, &
+         & 3.3706411180389798e-05_dp, 3.0316375308814299e-05_dp, 2.7453116025810700e-05_dp, 2.5037692616081100e-05_dp, &
+         & 2.3001366407982001e-05_dp, 2.1285248493541099e-05_dp, 1.9839497035434299e-05_dp, 1.8622790193489901e-05_dp, &
+         & 1.7601625749818999e-05_dp, 1.6748559701795801e-05_dp, 1.6040036371123299e-05_dp, 1.5455173048906100e-05_dp, &
+         & 1.4975642393721999e-05_dp, 1.4585733943306401e-05_dp, 1.4272039734919400e-05_dp, 1.4022939645030900e-05_dp, &
+         & 1.3828192905407401e-05_dp, 1.3678708867814699e-05_dp, 1.3566424101441000e-05_dp, 1.3484219969939201e-05_dp, &
+         & 1.3425858462312600e-05_dp, 1.3385933499421300e-05_dp, 1.3359834163395600e-05_dp, 1.3343713014535300e-05_dp, &
+         & 1.3334451942625899e-05_dp, 1.3329618852253600e-05_dp, 1.3327411039654200e-05_dp, 1.3326582887884800e-05_dp, &
+         & 1.3326357610310400e-05_dp, 1.3326324371121200e-05_dp, 1.3326321692375099e-05_dp, 1.3326272068070500e-05_dp, &
+         & 1.3325935903196800e-05_dp, 1.3324700162797901e-05_dp, 1.3321406576949400e-05_dp, 1.3314200806746600e-05_dp, &
+         & 1.3300409264616100e-05_dp, 1.3276451888089000e-05_dp, 1.3237801255172600e-05_dp, 1.3178999950014299e-05_dp, &
+         & 1.3093750645509801e-05_dp, 1.2975096048251099e-05_dp, 1.2815707393087900e-05_dp, 1.2608297431882001e-05_dp, &
+         & 1.2346156218257001e-05_dp, 1.2023761783552800e-05_dp, 1.1637344663029100e-05_dp, 1.1185248489198301e-05_dp, &
+         & 1.0668071354302800e-05_dp, 1.0088922849149601e-05_dp, 9.4541902839750896e-06_dp, 8.7741947041308793e-06_dp, &
+         & 8.0618048059477604e-06_dp, 7.3287902964125402e-06_dp, 6.5843921746022699e-06_dp, 5.8395044248982197e-06_dp, &
+         & 5.1130590605907898e-06_dp, 4.4344652607719598e-06_dp, 3.8194779037326001e-06_dp, 3.2563871315005599e-06_dp, &
+         & 2.7882987367888699e-06_dp, 2.3805124484965698e-06_dp, 1.9996247857534399e-06_dp, 1.6877955459904100e-06_dp, &
+         & 1.5854390653657899e-06_dp, 1.4690971852360199e-06_dp, 1.2989467137458601e-06_dp, 1.0461606336775701e-06_dp, &
+         & 7.5738184790452600e-07_dp, 6.5120954673147903e-07_dp, 5.2150136298223504e-07_dp, 3.9954404940090198e-07_dp, &
+         & -3.5527136788005003e-14_dp, -3.5527136788005003e-14_dp, -3.5527136788005003e-14_dp, -3.5527136788005003e-14_dp, &
+         & 3.9073633217867599e-07_dp, 4.8963497079057603e-07_dp, 5.1067049611219804e-07_dp, 4.5434150308665298e-07_dp, &
+         & -2.8421709430404001e-14_dp, -3.5527136788005003e-14_dp, -3.5527136788005003e-14_dp, -3.5527136788005003e-14_dp, &
+         & -3.5527136788005003e-14_dp, -2.8421709430404001e-14_dp, -3.5527136788005003e-14_dp, -2.8421709430404001e-14_dp, &
+         & -3.5527136788005003e-14_dp, -3.5527136788005003e-14_dp, -3.5527136788005003e-14_dp, -3.5527136788005003e-14_dp, &
+         & -3.5527136788005003e-14_dp, -3.5527136788005003e-14_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, &
+         & -3.5527136788005003e-14_dp, -4.2632564145605999e-14_dp, -3.5527136788005003e-14_dp, -3.5527136788005003e-14_dp, &
+         & -4.2632564145605999e-14_dp, -3.5527136788005003e-14_dp, -3.5527136788005003e-14_dp, -2.8421709430404001e-14_dp, &
+         & -3.5527136788005003e-14_dp &
+         &]
+      case (54)
+         out = [&
+         & 54.0000000000000000_dp, 53.9999999483439979_dp, 53.9999983510372985_dp, 53.9999875290318982_dp, &
+         & 53.9999477459302994_dp, 53.9998416967529025_dp, 53.9996096003956012_dp, 53.9991650685350990_dp, &
+         & 53.9983919000716028_dp, 53.9971419218160023_dp, 53.9952339640175012_dp, 53.9924540247293976_dp, &
+         & 53.9885566413351015_dp, 53.9832674523415008_dp, 53.9762868992986995_dp, 53.9672949887905986_dp, &
+         & 53.9559570088794018_dp, 53.9419300737253025_dp, 53.9248703542433034_dp, 53.9044408408614970_dp, &
+         & 53.8803194753672017_dp, 53.8522074807857010_dp, 53.8198377095368983_dp, 53.7829828195691988_dp, &
+         & 53.7414630754778031_dp, 53.6951535578131001_dp, 53.6439905512865991_dp, 53.5879768750142986_dp, &
+         & 53.5271859196245998_dp, 53.4617641711674025_dp, 53.3919320334120968_dp, 53.3179828095423005_dp, &
+         & 53.2402797701769970_dp, 53.1592513132665019_dp, 53.0753843067121025_dp, 52.9892157891899984_dp, &
+         & 52.9013232810217033_dp, 52.8123140183228017_dp, 52.7228134652335996_dp, 52.6334534783813979_dp, &
+         & 52.5448604950169980_dp, 52.4576440939524034_dp, 52.3723862406218998_dp, 52.2896314792765011_dp, &
+         & 52.2098782816034017_dp, 52.1335717064734965_dp, 52.0610974736246988_dp, 51.9927775072628009_dp, &
+         & 51.9288669650337980_dp, 51.8695527338017968_dp, 51.8149533456647973_dp, 51.7651202446984016_dp, &
+         & 51.7200403158951971_dp, 51.6796395715786971_dp, 51.6437878762780969_dp, 51.6123045780222967_dp, &
+         & 51.5849649019064032_dp, 51.5615069505755983_dp, 51.5416391462072028_dp, 51.5250479401237982_dp, &
+         & 51.5114056099524973_dp, 51.5003779609738999_dp, 51.4916317486713027_dp, 51.4848416441243018_dp, &
+         & 51.4796965732724985_dp, 51.4759052754602990_dp, 51.4732009460758988_dp, 51.4713448522416996_dp, &
+         & 51.4701288388389031_dp, 51.4693766738503982_dp, 51.4689442160397022_dp, 51.4687184231713033_dp, &
+         & 51.4686152540519970_dp, 51.4685765513502034_dp, 51.4685660232388003_dp, 51.4685644693102020_dp, &
+         & 51.4685642654675988_dp, 51.4685595161780967_dp, 51.4685273390239999_dp, 51.4684090521143034_dp, &
+         & 51.4680937404349024_dp, 51.4674036773385026_dp, 51.4660820810530026_dp, 51.4637836798210984_dp, &
+         & 51.4600684923112013_dp, 51.4543991532468965_dp, 51.4461420281586967_dp, 51.4345722659924007_dp, &
+         & 51.4188828343308018_dp, 51.3981974698165018_dp, 51.3715873569911992_dp, 51.3380912235825022_dp, &
+         & 51.2967384109220035_dp, 51.2465743466492967_dp, 51.1866877156980991_dp, 51.1162384986566991_dp, &
+         & 51.0344859302681968_dp, 50.9408153350902992_dp, 50.8347627364704024_dp, 50.7160361269037026_dp, &
+         & 50.5845323512141007_dp, 50.4403487034737026_dp, 50.2837885787803032_dp, 50.1153608412405021_dp, &
+         & 49.9357729414717966_dp, 49.7459181972444995_dp, 49.5468579887329028_dp, 49.3397998683163976_dp, &
+         & 49.1260727126530981_dp, 48.9071000444147970_dp, 48.6843725410329995_dp, 48.4594205669576965_dp, &
+         & 48.2337873626561020_dp, 48.0090033425694003_dp, 47.7865618252886009_dp, 47.5678964513004985_dp, &
+         & 47.3543605258314031_dp, 47.1472085323690990_dp, 46.9475800688426972_dp, 46.7564864418076027_dp, &
+         & 46.5748001051362976_dp, 46.4032470525633016_dp, 46.2424021813555015_dp, 46.0926875540110004_dp, &
+         & 45.9543734102060029_dp, 45.8275817297770018_dp, 45.7122921198224006_dp, 45.6083497900512995_dp, &
+         & 45.5154753826517009_dp, 45.4332764285081012_dp, 45.3612602045862019_dp, 45.2988477642013976_dp, &
+         & 45.2453889015482034_dp, 45.2001777950474022_dp, 45.1624690528177979_dp, 45.1314938607076996_dp, &
+         & 45.1064759119774976_dp, 45.0866467811014999_dp, 45.0712603952413033_dp, 45.0596062583349024_dp, &
+         & 45.0510210964434989_dp, 45.0448986202452986_dp, 45.0406971417047970_dp, 45.0379448363320023_dp, &
+         & 45.0362425084498028_dp, 45.0352637919742023_dp, 45.0347528001398985_dp, 45.0345193206377985_dp, &
+         & 45.0344317339122995_dp, 45.0344079081517989_dp, 45.0344043915176968_dp, 45.0344040810659010_dp, &
+         & 45.0343979979146027_dp, 45.0343567836601011_dp, 45.0342052755570990_dp, 45.0338014094757995_dp, &
+         & 45.0329175528286996_dp, 45.0312248401274999_dp, 45.0282811312931983_dp, 45.0235231346242983_dp, &
+         & 45.0162631458120970_dp, 45.0056907501093022_dp, 44.9908797144799024_dp, 44.9708001579631969_dp, &
+         & 44.9443359299074032_dp, 44.9103069470916978_dp, 44.8674960443499984_dp, 44.8146796845633020_dp, &
+         & 44.7506616617131030_dp, 44.6743087275137967_dp, 44.5845868934705010_dp, 44.4805970236970012_dp, &
+         & 44.3616082579610023_dp, 44.2270878068025013_dp, 44.0767257556358985_dp, 43.9104537108075021_dp, &
+         & 43.7284564159471998_dp, 43.5311758455892033_dp, 43.3193077113781015_dp, 43.0937907440339032_dp, &
+         & 42.8557894826195991_dp, 42.6066715591199028_dp, 42.3479805833461000_dp, 42.0814057205787009_dp, &
+         & 41.8087489573650970_dp, 41.5318909319556013_dp, 41.2527561183642035_dp, 40.9732781203577971_dp, &
+         & 40.6953658420588980_dp, 40.4208713196441991_dp, 40.1515599841786965_dp, 39.8890840527657033_dp, &
+         & 39.6349596096864971_dp, 39.3905477569053986_dp, 39.1570400117887019_dp, 38.9354479383113983_dp, &
+         & 38.7265968393693996_dp, 38.5311232248124966_dp, 38.3494757048067001_dp, 38.1819189352974036_dp, &
+         & 38.0285402510805994_dp, 37.8892586501005013_dp, 37.7638358287023976_dp, 37.6518890025269997_dp, &
+         & 37.5529052751406027_dp, 37.4662573326208985_dp, 37.3912202457516969_dp, 37.3269891525898032_dp, &
+         & 37.2726975747332006_dp, 37.2274360934119031_dp, 37.1902710800373981_dp, 37.1602631440760973_dp, &
+         & 37.1364849332369005_dp, 37.1180379011663035_dp, 37.1040676499042021_dp, 37.0937774614434019_dp, &
+         & 37.0864396570015984_dp, 37.0814044650354973_dp, 37.0781061391658966_dp, 37.0760661432287009_dp, &
+         & 37.0748933094739996_dp, 37.0742809733404002_dp, 37.0740011893421979_dp, 37.0738962322908989_dp, &
+         & 37.0738676813889967_dp, 37.0738634673341991_dp, 37.0738631293149012_dp, 37.0738568911438975_dp, &
+         & 37.0738146266103001_dp, 37.0736592576087034_dp, 37.0732451000856997_dp, 37.0723387223742975_dp, &
+         & 37.0706028849048010_dp, 37.0675841997838020_dp, 37.0627050699959000_dp, 37.0552603767836004_dp, &
+         & 37.0444192783035007_dp, 37.0292323603923990_dp, 37.0086442384977019_dp, 36.9815115466225990_dp, &
+         & 36.9466260642658995_dp, 36.9027425282283019_dp, 36.8486104585685013_dp, 36.7830091065240978_dp, &
+         & 36.7047844201501974_dp, 36.6128867372257005_dp, 36.5064077729606993_dp, 36.3846153906239991_dp, &
+         & 36.2469846426939029_dp, 36.0932236601554024_dp, 35.9232931527403991_dp, 35.7374185587547970_dp, &
+         & 35.5360942349280009_dp, 35.3200794794863029_dp, 35.0903866020110016_dp, 34.8482616533826004_dp, &
+         & 34.5951587706562975_dp, 34.3327093443949991_dp, 34.0626873619250006_dp, 33.7869723177106991_dp, &
+         & 33.5075110264544023_dp, 33.2262795525512971_dp, 32.9452463125731967_dp, 32.6663372428102008_dp, &
+         & 32.3914037682034035_dp, 32.1221941660012007_dp, 31.8603287809931999_dp, 31.6072794096561012_dp, &
+         & 31.3643530222259983_dp, 31.1326798371607012_dp, 30.9132056126469017_dp, 30.7066878901494000_dp, &
+         & 30.5136958294995004_dp, 30.3346132215202999_dp, 30.1696442522504995_dp, 30.0188216148156997_dp, &
+         & 29.8820166090061008_dp, 29.7589509218955008_dp, 29.6492098343846990_dp, 29.5522566404806994_dp, &
+         & 29.4674480938710985_dp, 29.3940507082282991_dp, 29.3312577341431009_dp, 29.2782066186466992_dp, &
+         & 29.2339967259943982_dp, 29.1977070645443995_dp, 29.1684137284926983_dp, 29.1452067295027000_dp, &
+         & 29.1272058665042017_dp, 29.1135752664428011_dp, 29.1035362281762993_dp, 29.0963780187081014_dp, &
+         & 29.0914663068496999_dp, 29.0882489740986010_dp, 29.0862591143054985_dp, 29.0851151194620989_dp, &
+         & 29.0845178443670989_dp, 29.0842449429156993_dp, 29.0841425679126004_dp, 29.0841147194062017_dp, &
+         & 29.0841106090242008_dp, 29.0841102919920012_dp, 29.0841045991109013_dp, 29.0840660290018000_dp, &
+         & 29.0839242411651000_dp, 29.0835462865786987_dp, 29.0827191408333015_dp, 29.0811350524999987_dp, &
+         & 29.0783802930815014_dp, 29.0739278251571989_dp, 29.0671343243563989_dp, 29.0572418965504013_dp, &
+         & 29.0433847212990983_dp, 29.0246007231344016_dp, 28.9998482214816988_dp, 28.9680273373950001_dp, &
+         & 28.9280057429281001_dp, 28.8786481324187996_dp, 28.8188485835721018_dp, 28.7475647731446990_dp, &
+         & 28.6638528335382006_dp, 28.5669015008920013_dp, 28.4560641305195006_dp, 28.3308871576351997_dp, &
+         & 28.1911336712216993_dp, 28.0368009500909992_dp, 27.8681310767389014_dp, 27.6856140800290014_dp, &
+         & 27.4899834357908013_dp, 27.2822041416029002_dp, 27.0634539425916998_dp, 26.8350985871784005_dp, &
+         & 26.5986622136495008_dp, 26.3557941025127001_dp, 26.1082330821042987_dp, 25.8577708616558013_dp, &
+         & 25.6062155054631013_dp, 25.3553561683283988_dp, 25.1069300930475983_dp, 24.8625927259058983_dp, &
+         & 24.6238916343488015_dp, 24.3922447136407001_dp, 24.1689229542609993_dp, 23.9550378234653998_dp, &
+         & 23.7515331111717991_dp, 23.5591809200419000_dp, 23.3785813557507005_dp, 23.2101654023387987_dp, &
+         & 23.0542004479571006_dp, 22.9107979505183010_dp, 22.7799227888646989_dp, 22.6614039195581007_dp, &
+         & 22.5549460394169010_dp, 22.4601420287728999_dp, 22.3764860123332987_dp, 22.3033869188558995_dp, &
+         & 22.2401824456752983_dp, 22.1861533398640987_dp, 22.1405378965952018_dp, 22.1025465504448988_dp, &
+         & 22.0713764011443985_dp, 22.0462254763433982_dp, 22.0263064952235013_dp, 22.0108598631640007_dp, &
+         & 21.9991656036446983_dp, 21.9905539230149003_dp, 21.9844141095510004_dp, 21.9802014919522009_dp, &
+         & 21.9774422242566985_dp, 21.9757357227072987_dp, 21.9747546525547008_dp, 21.9742424451666984_dp, &
+         & 21.9740084132998987_dp, 21.9739206198539989_dp, 21.9738967379067986_dp, 21.9738932129814017_dp, &
+         & 21.9738929460846997_dp, 21.9738882180361017_dp, 21.9738561848166007_dp, 21.9737384273885006_dp, &
+         & 21.9734245298987005_dp, 21.9727375758580017_dp, 21.9714219879477994_dp, 21.9691342047706009_dp, &
+         & 21.9654366335657016_dp, 21.9597952545312012_dp, 21.9515811775244991_dp, 21.9400763622818005_dp, &
+         & 21.9244836054830010_dp, 21.9039407692708004_dp, 21.8775390751127006_dp, 21.8443451156909987_dp, &
+         & 21.8034260506019990_dp, 21.7538772576331993_dp, 21.6948515225648002_dp, 21.6255886822770016_dp, &
+         & 21.5454445059132986_dp, 21.4539175246980989_dp, 21.3506725186236004_dp, 21.2355594493143016_dp, &
+         & 21.1086267981796993_dp, 20.9701285244150988_dp, 20.8205241859600001_dp, 20.6604721461179999_dp, &
+         & 20.4908161887493989_dp, 20.3125662497335995_dp, 20.1268743040890996_dp, 19.9350066926279013_dp, &
+         & 19.7383143041130005_dp, 19.5382020369792002_dp, 19.3360988534832998_dp, 19.1334295295681009_dp, &
+         & 18.9315889294581012_dp, 18.7319193355685982_dp, 18.5356910814810014_dp, 18.3440865005668989_dp, &
+         & 18.1581870345440990_dp, 17.9789632494915992_dp, 17.8072674732312990_dp, 17.6438287803423002_dp, &
+         & 17.4892500888457008_dp, 17.3440071770414015_dp, 17.2084494666916008_dp, 17.0828024431260985_dp, &
+         & 16.9671715934101002_dp, 16.8615477440879999_dp, 16.7658136753761013_dp, 16.6797518836019982_dp, &
+         & 16.6030533608385014_dp, 16.5353272604427985_dp, 16.4761113181880994_dp, 16.4248828984907007_dp, &
+         & 16.3810705315373006_dp, 16.3440657982588995_dp, 16.3132354056104987_dp, 16.2879332753245016_dp, &
+         & 16.2675124471908994_dp, 16.2513365758292991_dp, 16.2387907811696017_dp, 16.2292916008363015_dp, &
+         & 16.2222957903308007_dp, 16.2173077266513985_dp, 16.2138851940854991_dp, 16.2116433675187004_dp, &
+         & 16.2102568576999992_dp, 16.2094597423112994_dp, 16.2090435733625995_dp, 16.2088534216753004_dp, &
+         & 16.2087820891063004_dp, 16.2087626849078994_dp, 16.2087598208884991_dp, 16.2087596058856001_dp, &
+         & 16.2087558215918008_dp, 16.2087301824440004_dp, 16.2086359302182998_dp, 16.2083846883410985_dp, &
+         & 16.2078348513929988_dp, 16.2067818469219986_dp, 16.2049506603799998_dp, 16.2019909682393006_dp, &
+         & 16.1974751711585014_dp, 16.1908995570091001_dp, 16.1816887505985996_dp, 16.1692035209492992_dp, &
+         & 16.1527519164277997_dp, 16.1316035825235993_dp, 16.1050069881566991_dp, 16.0722091479591001_dp, &
+         & 16.0324772865516003_dp, 15.9851217554887004_dp, 15.9295193951663006_dp, 15.8651364442967004_dp, &
+         & 15.7915500494754006_dp, 15.7084674254708005_dp, 15.6157417678452006_dp, 15.5133841234393000_dp, &
+         & 15.4015705766388002_dp, 15.2806443024073992_dp, 15.1511122615000993_dp, 15.0136365599817001_dp, &
+         & 14.8690207558489007_dp, 14.7181916611408994_dp, 14.5621774452783992_dp, 14.4020830734983001_dp, &
+         & 14.2390642831191006_dp, 14.0743013752361001_dp, 13.9089740515178999_dp, 13.7442383460863002_dp, &
+         & 13.5812064120841001_dp, 13.4209295722555009_dp, 13.2643846998878008_dp, 13.1124637230606993_dp, &
+         & 12.9659658791960997_dp, 12.8255922930530009_dp, 12.6919424857061003_dp, 12.5655125060425004_dp, &
+         & 12.4466944718068007_dp, 12.3357773872027003_dp, 12.2329491560362005_dp, 12.1382997331817997_dp, &
+         & 12.0518253598637006_dp, 11.9734338191532999_dp, 11.9029506351779997_dp, 11.8401261278158003_dp, &
+         & 11.7846432260006999_dp, 11.7361259367421003_dp, 11.6941483618006004_dp, 11.6582441476416996_dp, &
+         & 11.6279162452127007_dp, 11.6026468435773005_dp, 11.5819073258395999_dp, 11.5651680784324995_dp, &
+         & 11.5519079678050005_dp, 11.5416232843664002_dp, 11.5338359448454995_dp, 11.5281007433951999_dp, &
+         & 11.5240114506459008_dp, 11.5212055795375008_dp, 11.5193676672660992_dp, 11.5182309632201001_dp, &
+         & 11.5175774616017002_dp, 11.5172362720582004_dp, 11.5170803790974006_dp, 11.5170218981621009_dp, &
+         & 11.5170059899199995_dp, 11.5170036418963999_dp, 11.5170034661655993_dp, 11.5170003802434007_dp, &
+         & 11.5169794726652004_dp, 11.5169026141788002_dp, 11.5166977375409996_dp, 11.5162493693603007_dp, &
+         & 11.5153906880892993_dp, 11.5138974261251992_dp, 11.5114838962504997_dp, 11.5078013788210995_dp, &
+         & 11.5024390551125002_dp, 11.4949276124826998_dp, 11.4847455769248992_dp, 11.4713283469681997_dp, &
+         & 11.4540798095504002_dp, 11.4323863147187996_dp, 11.4056326750215007_dp, 11.3732197425559995_dp, &
+         & 11.3345830091615003_dp, 11.2892115820204992_dp, 11.2366668173730009_dp, 11.1765998579334003_dp, &
+         & 11.1087673216532004_dp, 11.0330444341473992_dp, 10.9494349837867997_dp, 10.8580776024294003_dp, &
+         & 10.7592480279607994_dp, 10.6533571772349003_dp, 10.5409450393329998_dp, 10.4226705799383996_dp, &
+         & 10.2992980201386004_dp, 10.1716800103005003_dp, 10.0407383551166003_dp, 9.9074430521409607_dp, &
+         & 9.7727904750315506_dp, 9.6377815565159892_dp, 9.5034007992897394_dp, 9.3705968645098601_dp, &
+         & 9.2402653620574604_dp, 9.1132343051960998_dp, 8.9902525103536206_dp, 8.8719810385402802_dp, &
+         & 8.7589876057937701_dp, 8.6517437501174292_dp, 8.5506244406569305_dp, 8.4559097546233204_dp, &
+         & 8.3677882267340902_dp, 8.2863614887131600_dp, 8.2116498542651506_dp, 8.1435985586966595_dp, &
+         & 8.0820844232413993_dp, 8.0269227747214806_dp, 7.9778745057575904_dp, 7.9346532054700898_dp, &
+         & 7.8969323233168396_dp, 7.8643523486331999_dp, 7.8365279959515597_dp, 7.8130553825246203_dp, &
+         & 7.7935191715666896_dp, 7.7774996349541201_dp, 7.7645795652357403_dp, 7.7543509417368703_dp, &
+         & 7.7464212322807100_dp, 7.7404191934298296_dp, 7.7360000206463901_dp, 7.7328496972955802_dp, &
+         & 7.7306883991398099_dp, 7.7292728291812596_dp, 7.7283973857775798_dp, 7.7278941033683903_dp, &
+         & 7.7276313476745804_dp, 7.7275112931312497_dp, 7.7274662566410903_dp, 7.7274540056345300_dp, &
+         & 7.7274521974120098_dp, 7.7274520620303200_dp, 7.7274496839830302_dp, 7.7274335723696703_dp, &
+         & 7.7273743444777701_dp, 7.7272164654558297_dp, 7.7268709550986303_dp, 7.7262092768389898_dp, &
+         & 7.7250586610180996_dp, 7.7231990894634404_dp, 7.7203621389595902_dp, 7.7162318456971501_dp, &
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+         & 0.0251038224556126_dp, 0.0241679171235347_dp, 0.0231744148441990_dp, 0.0221333140973528_dp, &
+         & 0.0210559008221693_dp, 0.0199543196196075_dp, 0.0188411076812258_dp, 0.0177287236513735_dp, &
+         & 0.0166291029219323_dp, 0.0155532669520184_dp, 0.0145110078215183_dp, 0.0135106613721021_dp, &
+         & 0.0125589739850867_dp, 0.0116610601624458_dp, 0.0108204413215560_dp, 0.0100391511855946_dp, &
+         & 0.0093178903075923_dp, 0.0086562117489777_dp, 0.0080527213972133_dp, 0.0075052790967334_dp, &
+         & 0.0070111898502319_dp, 0.0065673772931447_dp, 0.0061705343296907_dp, 0.0058172483150401_dp, &
+         & 0.0055041004554752_dp, 0.0052277409708168_dp, 0.0049849427940245_dp, 0.0047726371240131_dp, &
+         & 0.0045879341748858_dp, 0.0044281322472202_dp, 0.0042907179729710_dp, 0.0041733603183403_dp, &
+         & 0.0040739006387440_dp, 0.0039903407420638_dp, 0.0039208305385472_dp, 0.0038636564715162_dp, &
+         & 0.0038172315611220_dp, 0.0037800875684937_dp, 0.0037508694926061_dp, 0.0037283323472366_dp, &
+         & 0.0037113399283868_dp, 0.0036988650821286_dp, 0.0036899908311270_dp, 0.0036839116244352_dp, &
+         & 0.0036799339479146_dp, 0.0036774755732551_dp, 0.0036760628264290_dp, 0.0036753254118835_dp, &
+         & 0.0036749885191227_dp, 0.0036748621451750_dp, 0.0036748277689824_dp, 0.0036748226951460_dp, &
+         & 0.0036748222923393_dp, 0.0036748149100632_dp, 0.0036747648944413_dp, 0.0036745810364991_dp, &
+         & 0.0036740909752027_dp, 0.0036730186732115_dp, 0.0036709657959477_dp, 0.0036673980440014_dp, &
+         & 0.0036616375616134_dp, 0.0036528626096697_dp, 0.0036401157083574_dp, 0.0036223213706919_dp, &
+         & 0.0035983143075740_dp, 0.0035668785360485_dp, 0.0035267971347324_dp, 0.0034769114632880_dp, &
+         & 0.0034161875447865_dp, 0.0033437860995349_dp, 0.0032591315692017_dp, 0.0031619745716256_dp, &
+         & 0.0030524417833178_dp, 0.0029310674468093_dp, 0.0027988016713820_dp, 0.0026569924679052_dp, &
+         & 0.0025073409132048_dp, 0.0023518316860276_dp, 0.0021926440028395_dp, 0.0020320501833737_dp, &
+         & 0.0018723102697820_dp, 0.0017155711580088_dp, 0.0015637777664352_dp, 0.0014186022545886_dp, &
+         & 0.0012813955118176_dp, 0.0011531630787829_dp, 0.0010345651943950_dp, 0.0009259378833804_dp, &
+         & 0.0008273295722461_dp, 0.0007385466227205_dp, 0.0006592019354414_dp, 0.0005887628649788_dp, &
+         & 0.0005265966988475_dp, 0.0004720126924198_dp, 0.0004242991314385_dp, 0.0003827532925982_dp, &
+         & 0.0003467027006749_dp, 0.0003155178252428_dp, 0.0002886182328297_dp, 0.0002654749688276_dp, &
+         & 0.0002456112664149_dp, 0.0002286023146780_dp, 0.0002140738237415_dp, 0.0002016990011739_dp, &
+         & 0.0001911940416264_dp, 0.0001823127530471_dp, 0.0001748411129583_dp, 0.0001685923454460_dp, &
+         & 0.0001634027584458_dp, 0.0001591283091358_dp, 0.0001556417595481_dp, 0.0001528302992924_dp, &
+         & 0.0001505935663957_dp, 0.0001488420364666_dp, 0.0001474957623913_dp, 0.0001464834374048_dp, &
+         & 0.0001457417368087_dp, 0.0001452148775840_dp, 0.0001448543249793_dp, 0.0001446185733087_dp, &
+         & 0.0001444729322344_dp, 0.0001443892590771_dp, 0.0001443455903853_dp, 0.0001443256415072_dp, &
+         & 0.0001443181585827_dp, 0.0001443161231052_dp, 0.0001443158226806_dp, 0.0001443157986145_dp, &
+         & 0.0001443153551719_dp, 0.0001443123507627_dp, 0.0001443013067046_dp, 0.0001442718708446_dp, &
+         & 0.0001442074691624_dp, 0.0001440842011817_dp, 0.0001438700528027_dp, 0.0001435245109960_dp, &
+         & 0.0001429986752299_dp, 0.0001422359671892_dp, 0.0001411735387862_dp, 0.0001397444613929_dp, &
+         & 0.0001378807402972_dp, 0.0001355171288679_dp, 0.0001325956117597_dp, 0.0001290702850767_dp, &
+         & 0.0001249122032334_dp, 0.0001201136292579_dp, 0.0001146910860612_dp, 0.0001086867306128_dp, &
+         & 1.0216787521955000e-04_dp, 9.5224870591437098e-05_dp, 8.7967834268454199e-05_dp, 8.0522622710077499e-05_dp, &
+         & 7.3025928926995193e-05_dp, 6.5618742397077794e-05_dp, 5.8437337344230400e-05_dp, 5.1602133936512500e-05_dp, &
+         & 4.5206987344670297e-05_dp, 3.9313161032339401e-05_dp, 3.3951463876746897e-05_dp, 2.9132079269800202e-05_dp, &
+         & 2.4856290551156201e-05_dp, 2.1121789679057201e-05_dp, 1.7917281567747499e-05_dp, 1.5211059185560299e-05_dp, &
+         & 1.2945018411869599e-05_dp, 1.1043913026753700e-05_dp, 9.4381951427635596e-06_dp, 8.0850086305872503e-06_dp, &
+         & 6.9710956722701701e-06_dp, 6.0950747169386002e-06_dp, 5.4403720852747003e-06_dp, 4.9601739533500197e-06_dp, &
+         & 4.5905141448088199e-06_dp, 4.2767538985799496e-06_dp, 3.9894502705806198e-06_dp, 3.7271560273666199e-06_dp, &
+         & 3.5073823667630698e-06_dp, 3.3454226908702401e-06_dp, 3.2387728197136299e-06_dp, 3.1739073733660899e-06_dp, &
+         & 3.1393927670819700e-06_dp, 3.1266063160728701e-06_dp, 3.1255951427056099e-06_dp, 3.1266739668467402e-06_dp, &
+         & 3.1244855378531598e-06_dp, 3.1186370534896898e-06_dp, 3.1112327647519999e-06_dp, 3.1043668755614800e-06_dp, &
+         & 3.0990915504958101e-06_dp, 3.0955338559124399e-06_dp, 3.0933601919969099e-06_dp, 3.0921347899948202e-06_dp, &
+         & 3.0914897024558698e-06_dp, 3.0911691624169201e-06_dp, 3.0910168078435201e-06_dp, 3.0909464072692601e-06_dp, &
+         & 3.0909144115298701e-06_dp, 3.0909002006751499e-06_dp, 3.0908942818541601e-06_dp, 3.0908921502259499e-06_dp, &
+         & 3.0908915817917702e-06_dp, 3.0908914965266402e-06_dp, 3.0908914183669401e-06_dp, 3.0908889740999299e-06_dp, &
+         & 3.0908723971379000e-06_dp, 3.0908115391525800e-06_dp, 3.0906497414662201e-06_dp, 3.0902978167546301e-06_dp, &
+         & 3.0896320879492102e-06_dp, 3.0884997457292200e-06_dp, 3.0867357239117201e-06_dp, 3.0841945246606900e-06_dp, &
+         & 3.0807963540269199e-06_dp, 3.0765769452045801e-06_dp, 3.0717118093548400e-06_dp, 3.0664540915381601e-06_dp, &
+         & 3.0608821433020201e-06_dp, 3.0543325948428901e-06_dp, 3.0445235452702899e-06_dp, 3.0268259649801600e-06_dp, &
+         & 2.9948205693131100e-06_dp, 2.9433755273089399e-06_dp, 2.8738475066347700e-06_dp, 2.7976894898529302e-06_dp, &
+         & 2.7329865659453398e-06_dp, 2.6943849604776898e-06_dp, 2.6872503084973699e-06_dp, 2.7097925183738901e-06_dp, &
+         & 2.7491990266525999e-06_dp, 2.7745339821194601e-06_dp, 2.7512304896504201e-06_dp, 2.6714800114291401e-06_dp, &
+         & 2.5655847082361999e-06_dp, 2.4801164997256798e-06_dp, 2.4484344152142499e-06_dp, 2.4752655320980900e-06_dp, &
+         & 2.5193939166001702e-06_dp, 2.4963698947999500e-06_dp, 2.3255462053839399e-06_dp, 1.9793965932990402e-06_dp, &
+         & 1.5105390289704701e-06_dp, 1.0688543881087800e-06_dp, 8.2800352174672298e-07_dp, 6.8190402657819504e-07_dp, &
+         &  5.0839220477882897e-07_dp, 4.2387746645999900e-07_dp, -4.9737991503207000e-14_dp, 3.6636431843817300e-07_dp, &
+         & 7.4968108521034104e-07_dp, 9.8408690973883495e-07_dp, 1.0363086957454500e-06_dp, 9.1855122974493497e-07_dp, &
+         &  6.8010249520966702e-07_dp, 3.8700829918525399e-07_dp, -5.6843418860808002e-14_dp, -5.6843418860808002e-14_dp, &
+         & -5.6843418860808002e-14_dp, -4.9737991503207000e-14_dp, -5.6843418860808002e-14_dp, -5.6843418860808002e-14_dp, &
+         & -5.6843418860808002e-14_dp, -5.6843418860808002e-14_dp, -5.6843418860808002e-14_dp, -5.6843418860808002e-14_dp, &
+         & -5.6843418860808002e-14_dp, -5.6843418860808002e-14_dp, -4.9737991503207000e-14_dp, -5.6843418860808002e-14_dp, &
+         & -5.6843418860808002e-14_dp, -5.6843418860808002e-14_dp, -5.6843418860808002e-14_dp, -5.6843418860808002e-14_dp, &
+         & -5.6843418860808002e-14_dp, -5.6843418860808002e-14_dp, -5.6843418860808002e-14_dp, -5.6843418860808002e-14_dp, &
+         & -5.6843418860808002e-14_dp &
+         &]
+      case (55)
+         out = [&
+         & 55.0000000000000000_dp, 54.9999999470308012_dp, 54.9999983091190998_dp, 54.9999872120078024_dp, &
+         & 54.9999464175803965_dp, 54.9998376725238032_dp, 54.9995996760155990_dp, 54.9991438435686035_dp, &
+         & 54.9983510198741001_dp, 54.9970692643696992_dp, 54.9951128003072967_dp, 54.9922621826102969_dp, &
+         & 54.9882657032335018_dp, 54.9828420166588003_dp, 54.9756839341380967_dp, 54.9664633047251030_dp, &
+         & 54.9548368750823997_dp, 54.9404529990399979_dp, 54.9229590518013993_dp, 54.9020093917430003_dp, &
+         & 54.8772737034960016_dp, 54.8484455476708987_dp, 54.8152509333948004_dp, 54.7774567185405985_dp, &
+         & 54.7348786288688984_dp, 54.6873886723832001_dp, 54.6349217116267027_dp, 54.5774809482797991_dp, &
+         & 54.5151420758316974_dp, 54.4480558716961980_dp, 54.3764490331794974_dp, 54.3006231134139981_dp, &
+         & 54.2209514823491006_dp, 54.1378743200314005_dp, 54.0518917383266029_dp, 53.9635552151653002_dp, &
+         & 53.8734576043529998_dp, 53.7822220470043035_dp, 53.6904901527692999_dp, 53.5989098378346966_dp, &
+         & 53.5081232025542022_dp, 53.4187548071861968_dp, 53.3314006640248977_dp, 53.2466182134758981_dp, &
+         & 53.1649174956830990_dp, 53.0867536728727032_dp, 53.0125210042692032_dp, 52.9425483276553024_dp, &
+         & 52.8770960605507980_dp, 52.8163546997188007_dp, 52.7604447696661012_dp, 52.7094181479375976_dp, &
+         & 52.6632606761052031_dp, 52.6218959492541032_dp, 52.5851901625155023_dp, 52.5529578801321975_dp, &
+         & 52.5249685803235025_dp, 52.5009538178325030_dp, 52.4806148357547002_dp, 52.4636304495594032_dp, &
+         & 52.4496650197709968_dp, 52.4383763263126994_dp, 52.4294231577607022_dp, 52.4224724333571004_dp, &
+         & 52.4172056850921990_dp, 52.4133247417604977_dp, 52.4105564766392007_dp, 52.4086565050600015_dp, &
+         & 52.4074117470757983_dp, 52.4066418028303005_dp, 52.4061991230653987_dp, 52.4059679932281028_dp, &
+         & 52.4058623855607024_dp, 52.4058227680683970_dp, 52.4058119911112001_dp, 52.4058104004534968_dp, &
+         & 52.4058101917927033_dp, 52.4058053302475031_dp, 52.4057723925445984_dp, 52.4056513097787970_dp, &
+         & 52.4053285453859985_dp, 52.4046221722723971_dp, 52.4032693405972978_dp, 52.4009166215267967_dp, &
+         & 52.3971136440073977_dp, 52.3913103634095023_dp, 52.3828582130670029_dp, 52.3710152924477015_dp, &
+         & 52.3549556391606004_dp, 52.3337825167903006_dp, 52.3065455275920002_dp, 52.2722612297701019_dp, &
+         & 52.2299368051287018_dp, 52.1785961864329977_dp, 52.1173079176757028_dp, 52.0452138888700020_dp, &
+         & 51.9615579668527019_dp, 51.8657134455904014_dp, 51.7572081787145990_dp, 51.6357462521142025_dp, &
+         & 51.5012251245087000_dp, 51.3537473235711985_dp, 51.1936260380984010_dp, 51.0213842805251971_dp, &
+         & 50.8377476781244013_dp, 50.6436313396610984_dp, 50.4401215843859987_dp, 50.2284535644775971_dp, &
+         & 50.0099859300397966_dp, 49.7861736726365010_dp, 49.5585401610140011_dp, 49.3286491935270988_dp, &
+         & 49.0980776866849027_dp, 48.8683894434604014_dp, 48.6411103268385006_dp, 48.4177051092682973_dp, &
+         & 48.1995562622614031_dp, 47.9879449646342024_dp, 47.7840346133506984_dp, 47.5888570965168967_dp, &
+         & 47.4033020268906000_dp, 47.2281090436432009_dp, 47.0638631867499981_dp, 46.9109932511260013_dp, &
+         & 46.7697729510391014_dp, 46.6403246761314989_dp, 46.5226255973671030_dp, 46.4165158776298981_dp, &
+         & 46.3217087485171035_dp, 46.2378022236643034_dp, 46.1642922235884967_dp, 46.1005868842338984_dp, &
+         & 46.0460218104216992_dp, 45.9998760173992025_dp, 45.9613882810598966_dp, 45.9297735931834978_dp, &
+         & 45.9042393955474992_dp, 45.8840012492373006_dp, 45.8682975859792990_dp, 45.8564031894493027_dp, &
+         & 45.8476410682839983_dp, 45.8413924101918013_dp, 45.8371043484468998_dp, 45.8342953275061973_dp, &
+         & 45.8325579218236996_dp, 45.8315590385898020_dp, 45.8310375177430984_dp, 45.8307992274147011_dp, &
+         & 45.8307098359767977_dp, 45.8306855192901992_dp, 45.8306819301963984_dp, 45.8306816133477994_dp, &
+         & 45.8306754048541976_dp, 45.8306333413869993_dp, 45.8304787114906986_dp, 45.8300665238712028_dp, &
+         & 45.8291644558257971_dp, 45.8274368664414027_dp, 45.8244325077715970_dp, 45.8195764875443032_dp, &
+         & 45.8121669447453996_dp, 45.8013767931277016_dp, 45.7862607649609998_dp, 45.7657678457475967_dp, &
+         & 45.7387590284007999_dp, 45.7040301323875013_dp, 45.6603392319137029_dp, 45.6064380229492983_dp, &
+         & 45.5411062410011027_dp, 45.4631880329772002_dp, 45.3716290034934033_dp, 45.2655125170712012_dp, &
+         & 45.1440937623596028_dp, 45.0068300911747983_dp, 44.8534062485419014_dp, 44.6837533176630970_dp, &
+         & 44.4980605120594035_dp, 44.2967793365234996_dp, 44.0806200713898022_dp, 43.8505409577999998_dp, &
+         & 43.6077308163237021_dp, 43.3535860696142024_dp, 43.0896832422797971_dp, 42.8177479959892011_dp, &
+         & 42.5396216745913023_dp, 42.2572262427945020_dp, 41.9725284476731986_dp, 41.6875040275531035_dp, &
+         & 41.4041028173713030_dp, 41.1242156145744033_dp, 40.8496436377050003_dp, 40.5820713109688000_dp, &
+         & 40.3230429450660992_dp, 40.0739436790417969_dp, 39.8359848307281013_dp, 39.6101936045020011_dp, &
+         & 39.3974069463774015_dp, 39.1982692284722987_dp, 39.0132333875437993_dp, 38.8425651276739998_dp, &
+         & 38.6863498132584027_dp, 38.5445017122183984_dp, 38.4167752892341028_dp, 38.3027782857915966_dp, &
+         & 38.2019863519129004_dp, 38.1137590102794022_dp, 38.0373567360045968_dp, 37.9719589252333023_dp, &
+         & 37.9166825049891969_dp, 37.8706009081613999_dp, 37.8327631047897981_dp, 37.8022123479030014_dp, &
+         & 37.7780042633359017_dp, 37.7592238924057000_dp, 37.7450012879216033_dp, 37.7345252709298009_dp, &
+         & 37.7270549800652972_dp, 37.7219288883857971_dp, 37.7185710236581002_dp, 37.7164942054195009_dp, &
+         & 37.7153002025423021_dp, 37.7146768142319004_dp, 37.7143919804058001_dp, 37.7142851289901984_dp, &
+         & 37.7142560627752985_dp, 37.7142517726613988_dp, 37.7142514285412034_dp, 37.7142450777780027_dp, &
+         & 37.7142020504158992_dp, 37.7140438771803019_dp, 37.7136222446307983_dp, 37.7126995081683987_dp, &
+         & 37.7109323423527982_dp, 37.7078591789111002_dp, 37.7028920028675998_dp, 37.6953129845912969_dp, &
+         & 37.6842763183814995_dp, 37.6688155138081981_dp, 37.6478562416111018_dp, 37.6202346694895979_dp, &
+         & 37.5847210343441986_dp, 37.5400479888855969_dp, 37.4849430379628998_dp, 37.4181641533359013_dp, &
+         & 37.3385374386669966_dp, 37.2449955262352006_dp, 37.1366152422092028_dp, 37.0126529972924985_dp, &
+         & 36.8725763608825972_dp, 36.7160903714022027_dp, 36.5431573274861989_dp, 36.3540090890345979_dp, &
+         & 36.1491512777773991_dp, 35.9293591774738985_dp, 35.6956655593171988_dp, 35.4493410593859011_dp, &
+         & 35.1918680745155967_dp, 34.9249093913230979_dp, 34.6502729047566973_dp, 34.3698738188421018_dp, &
+         & 34.0856956705019982_dp, 33.7997514051977035_dp, 33.5140455906194035_dp, 33.2305387052673993_dp, &
+         & 32.9511142940492974_dp, 32.6775496420366025_dp, 32.4114904716736021_dp, 32.1544300095330016_dp, &
+         & 31.9076925948570000_dp, 31.6724218225069016_dp, 31.4495730444815003_dp, 31.2399099158017002_dp, &
+         & 31.0440045765753005_dp, 30.8622410177692004_dp, 30.6948211792437995_dp, 30.5417733635466000_dp, &
+         & 30.4029626032948990_dp, 30.2781026799126991_dp, 30.1667695461636995_dp, 30.0684159473556996_dp, &
+         & 29.9823870627459996_dp, 29.9079369987486992_dp, 29.8442459600832990_dp, 29.7904379062986990_dp, &
+         & 29.7455984723048985_dp, 29.7087928964288004_dp, 29.6790836623445990_dp, 29.6555475265657016_dp, &
+         & 29.6372915756371995_dp, 29.6234679410734998_dp, 29.6132867991368016_dp, 29.6060272994605995_dp, &
+         & 29.6010461026708995_dp, 29.5977832624352999_dp, 29.5957652600612988_dp, 29.5946050867202004_dp, &
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+         & 1.4078933612004900_dp, 1.4062831856330700_dp, 1.4041631101783700_dp, 1.4014404971417700_dp, &
+         & 1.3980208132005201_dp, 1.3938104280332799_dp, 1.3887196756663800_dp, 1.3826660661127499_dp, &
+         & 1.3755775133692900_dp, 1.3673954302817699_dp, 1.3580775338688800_dp, 1.3476002085587999_dp, &
+         & 1.3359602905941701_dp, 1.3231761644250899_dp, 1.3092880995427800_dp, 1.2943578007755800_dp, &
+         & 1.2784671923701401_dp, 1.2617165015086700_dp, 1.2442217458086200_dp, 1.2261117582896499_dp, &
+         & 1.2075249002278701_dp, 1.1886056169146100_dp, 1.1695009848534601_dp, 1.1503573837958001_dp, &
+         & 1.1313174062042000_dp, 1.1125170931351500_dp, 1.0940835614438900_dp, 1.0761330641075599_dp, &
+         & 1.0587695040337399_dp, 1.0420834021481300_dp, 1.0261513028625699_dp, 1.0110355843863399_dp, &
+         & 0.9967846282156150_dp, 0.9834332922064700_dp, 0.9710036256034020_dp, 0.9595057627113019_dp, &
+         & 0.9489389345638410_dp, 0.9392925444269620_dp, 0.9305472623076130_dp, 0.9226761045709320_dp, &
+         & 0.9156454760139990_dp, 0.9094161621675880_dp, 0.9039442683422860_dp, 0.8991821084776530_dp, &
+         & 0.8950790509844350_dp, 0.8915823305364370_dp, 0.8886378344106020_dp, 0.8861908698529750_dp, &
+         & 0.8841869155034420_dp, 0.8825723556213489_dp, 0.8812951912098370_dp, 0.8803057176256390_dp, &
+         & 0.8795571543410220_dp, 0.8790062095994240_dp, 0.8786135610966920_dp, 0.8783442337381830_dp, &
+         & 0.8781678570457530_dp, 0.8780587878535120_dp, 0.8779960883352160_dp, 0.8779633548231870_dp, &
+         & 0.8779483989050760_dp, 0.8779427884714081_dp, 0.8779412623019029_dp, 0.8779410370426460_dp, &
+         & 0.8779410197387070_dp, 0.8779407099260720_dp, 0.8779386109023189_dp, 0.8779308947068710_dp, &
+         & 0.8779103264539000_dp, 0.8778653148124390_dp, 0.8777791177943540_dp, 0.8776292381691350_dp, &
+         & 0.8773870404053310_dp, 0.8770176180974401_dp, 0.8764799369812200_dp, 0.8757272733678860_dp, &
+         & 0.8747079606047310_dp, 0.8733664465375950_dp, 0.8716446526374360_dp, 0.8694836104961400_dp, &
+         & 0.8668253342318341_dp, 0.8636148688774130_dp, 0.8598024364273940_dp, 0.8553455846617130_dp, &
+         & 0.8502112311788250_dp, 0.8443774883203470_dp, 0.8378351556908470_dp, 0.8305887770787730_dp, &
+         & 0.8226571782790300_dp, 0.8140734310919480_dp, 0.8048842249633740_dp, 0.7951486685141230_dp, &
+         & 0.7849365847584410_dp, 0.7743264016441530_dp, 0.7634027690646480_dp, 0.7522540507166871_dp, &
+         & 0.7409698415441780_dp, 0.7296386485522670_dp, 0.7183458464559610_dp, 0.7071719841043630_dp, &
+         & 0.6961914784614440_dp, 0.6854716959043190_dp, 0.6750723904759180_dp, 0.6650454483473990_dp, &
+         & 0.6554348777434810_dp, 0.6462769826956890_dp, 0.6376006647580110_dp, 0.6294278064179220_dp, &
+         & 0.6217737008383960_dp, 0.6146475029367270_dp, 0.6080526855936770_dp, 0.6019874916122210_dp, &
+         & 0.5964453769872901_dp, 0.5914154444202570_dp, 0.5868828681909970_dp, 0.5828293128150860_dp, &
+         & 0.5792333486044540_dp, 0.5760708674586110_dp, 0.5733155020098620_dp, 0.5709390506548641_dp, &
+         & 0.5689119100356810_dp, 0.5672035152048590_dp, 0.5657827860648230_dp, 0.5646185767882910_dp, &
+         & 0.5636801229187610_dp, 0.5629374788606110_dp, 0.5623619366661220_dp, 0.5619264155850560_dp, &
+         & 0.5616058109269910_dp, 0.5613772905341110_dp, 0.5612205276648230_dp, 0.5611178603770240_dp, &
+         & 0.5610543695388440_dp, 0.5610178702793860_dp, 0.5609988148603260_dp, 0.5609901083923960_dp, &
+         & 0.5609868423135820_dp, 0.5609859538626270_dp, 0.5609858227291940_dp, 0.5609858125789200_dp, &
+         & 0.5609856298460020_dp, 0.5609843918046310_dp, 0.5609798406499560_dp, 0.5609677090682010_dp, &
+         & 0.5609411600359880_dp, 0.5608903179064550_dp, 0.5608019106604730_dp, 0.5606590415620620_dp, &
+         & 0.5604411064892080_dp, 0.5601238707154580_dp, 0.5596797156362290_dp, 0.5590780615921320_dp, &
+         & 0.5582859673060629_dp, 0.5572688993958220_dp, 0.5559916570051660_dp, 0.5544194271114971_dp, &
+         & 0.5525189360931581_dp, 0.5502596535261830_dp, 0.5476149959927030_dp, 0.5445634730776731_dp, &
+         & 0.5410897157794990_dp, 0.5371853300493900_dp, 0.5328495254167440_dp, 0.5280894803629580_dp, &
+         & 0.5229204213654910_dp, 0.5173654099156410_dp, 0.5114548495850780_dp, 0.5052257416227380_dp, &
+         & 0.4987207311051450_dp, 0.4919869953059290_dp, 0.4850750312155580_dp, 0.4780374000822500_dp, &
+         & 0.4709274839251950_dp, 0.4637983029167070_dp, 0.4567014341879700_dp, 0.4496860628442010_dp, &
+         & 0.4427981856030670_dp, 0.4360799772412850_dp, 0.4295693206054170_dp, 0.4232994928525430_dp, &
+         & 0.4172989942305070_dp, 0.4115915013081520_dp, 0.4061959241605920_dp, 0.4011265464578950_dp, &
+         & 0.3963932284040230_dp, 0.3920016546404810_dp, 0.3879536121378420_dp, 0.3842472863485680_dp, &
+         & 0.3808775671343340_dp, 0.3778363589443070_dp, 0.3751128922224250_dp, 0.3726940349518630_dp, &
+         & 0.3705646045643650_dp, 0.3687076811578010_dp, 0.3671049231214100_dp, 0.3657368859336570_dp, &
+         & 0.3645833441557120_dp, 0.3636236155896460_dp, 0.3628368853097040_dp, 0.3622025259190020_dp, &
+         & 0.3617004090528720_dp, 0.3613112019632180_dp, 0.3610166420943840_dp, 0.3607997820041720_dp, &
+         & 0.3606451968774210_dp, 0.3605391472764410_dp, 0.3604696906856260_dp, 0.3604267368073270_dp, &
+         & 0.3604020433806810_dp, 0.3603891514151340_dp, 0.3603832610217810_dp, 0.3603810513403190_dp, &
+         & 0.3603804502541830_dp, 0.3603803615351640_dp, 0.3603803546122610_dp, 0.3603802292618000_dp, &
+         & 0.3603793799945410_dp, 0.3603762580073640_dp, 0.3603679360056230_dp, 0.3603497238627750_dp, &
+         & 0.3603148467883910_dp, 0.3602541995119570_dp, 0.3601561887930130_dp, 0.3600066751430330_dp, &
+         & 0.3597890228707930_dp, 0.3594842652874210_dp, 0.3590713889624410_dp, 0.3585277371696800_dp, &
+         & 0.3578295280254840_dp, 0.3569524773350920_dp, 0.3558725100031880_dp, 0.3545665373736280_dp, &
+         & 0.3530132715516460_dp, 0.3511940422755520_dp, 0.3490935779620660_dp, 0.3467007108539090_dp, &
+         & 0.3440089673143090_dp, 0.3410170085634480_dp, 0.3377288945120470_dp, 0.3341541534004830_dp, &
+         & 0.3303076518927240_dp, 0.3262092729906240_dp, 0.3218834213418730_dp, 0.3173583859365150_dp, &
+         & 0.3126655977559660_dp, 0.3078388239496870_dp, 0.3029133403486100_dp, 0.2979251208536340_dp, &
+         & 0.2929100761637430_dp, 0.2879033664144690_dp, 0.2829388036771970_dp, 0.2780483519554550_dp, &
+         & 0.2732617251409410_dp, 0.2686060779034140_dp, 0.2641057808976300_dp, 0.2597822698744000_dp, &
+         & 0.2556539579516580_dp, 0.2517362009901020_dp, 0.2480413072945350_dp, 0.2445785843755530_dp, &
+         & 0.2413544170143210_dp, 0.2383723722222300_dp, 0.2356333277925490_dp, 0.2331356219761960_dp, &
+         & 0.2308752223912480_dp, 0.2288459126407500_dp, 0.2270394953080130_dp, 0.2254460100557410_dp, &
+         & 0.2240539654817230_dp, 0.2228505831794370_dp, 0.2218220521081240_dp, 0.2209537909026690_dp, &
+         & 0.2202307151642420_dp, 0.2196375061069060_dp, 0.2191588762420050_dp, 0.2187798271243790_dp, &
+         & 0.2184858936338760_dp, 0.2182633688945120_dp, 0.2180995038067120_dp, 0.2179826753393780_dp, &
+         & 0.2179025182253300_dp, 0.2178500155346230_dp, 0.2178175447381040_dp, 0.2177988772691250_dp, &
+         & 0.2177891311722180_dp, 0.2177846781009980_dp, 0.2177830076004100_dp, 0.2177825531837530_dp, &
+         & 0.2177824861128030_dp, 0.2177824808346000_dp, 0.2177823846936350_dp, 0.2177817333245140_dp, &
+         & 0.2177793388256360_dp, 0.2177729559924370_dp, 0.2177589874282480_dp, 0.2177322363787790_dp, &
+         & 0.2176857173995260_dp, 0.2176105339043420_dp, 0.2174958303986900_dp, 0.2173288257117180_dp, &
+         & 0.2170949317247520_dp, 0.2167779598663700_dp, 0.2163604149332840_dp, 0.2158238725750220_dp, &
+         & 0.2151494330833470_dp, 0.2143182400784910_dp, 0.2133120485037030_dp, 0.2121138223440580_dp, &
+         & 0.2107083390691860_dp, 0.2090827753807430_dp, 0.2072272478243350_dp, 0.2051352824913620_dp, &
+         & 0.2028041905226700_dp, 0.2002353303522430_dp, 0.1974342432975080_dp, 0.1944106557260880_dp, &
+         & 0.1911783480032130_dp, 0.1877548971061390_dp, 0.1841613056215930_dp, 0.1804215344076000_dp, &
+         & 0.1765619593197980_dp, 0.1726107741269870_dp, 0.1685973622818650_dp, 0.1645516598346010_dp, &
+         & 0.1605035306714060_dp, 0.1564821734925490_dp, 0.1525155775337050_dp, 0.1486300410444560_dp, &
+         & 0.1448497631501130_dp, 0.1411965161479930_dp, 0.1376894016889030_dp, 0.1343446907341960_dp, &
+         & 0.1311757437224090_dp, 0.1281930042209820_dp, 0.1254040568282950_dp, 0.1228137385196530_dp, &
+         & 0.1204242921434470_dp, 0.1182355511780880_dp, 0.1162451459240470_dp, 0.1144487227081970_dp, &
+         & 0.1128401693095640_dp, 0.1114118415013150_dp, 0.1101547873084100_dp, 0.1090589670525120_dp, &
+         & 0.1081134684454600_dp, 0.1073067167006980_dp, 0.1066266799464300_dp, 0.1060610700752420_dp, &
+         & 0.1055975387296470_dp, 0.1052238674347170_dp, 0.1049281500817830_dp, 0.1046989651364780_dp, &
+         & 0.1045255342055850_dp, 0.1043978630650100_dp, 0.1043068609522780_dp, 0.1042444340149800_dp, &
+         & 0.1042035491683750_dp, 0.1041782653742300_dp, 0.1041637303503860_dp, 0.1041561419456020_dp, &
+         & 0.1041526747837340_dp, 0.1041513741385170_dp, 0.1041510203320400_dp, 0.1041509681109360_dp, &
+         & 0.1041509639647770_dp, 0.1041508879855610_dp, 0.1041503732114460_dp, 0.1041484808565020_dp, &
+         & 0.1041434365896660_dp, 0.1041323976251860_dp, 0.1041112577969300_dp, 0.1040744989335420_dp, &
+         & 0.1040150961703860_dp, 0.1039244840748520_dp, 0.1037925894455330_dp, 0.1036079353631010_dp, &
+         & 0.1033578193363030_dp, 0.1030285661809960_dp, 0.1026058534884480_dp, 0.1020751042314250_dp, &
+         & 0.1014219373119470_dp, 0.1006326628228390_dp, 0.0996948047859689_dp, 0.0985976304456884_dp, &
+         & 0.0973326622305635_dp, 0.0958941466309255_dp, 0.0942794538613754_dp, 0.0924893835358276_dp, &
+         & 0.0905283548468674_dp, 0.0884044648976925_dp, 0.0861294055462594_dp, 0.0837182370655043_dp, &
+         & 0.0811890252974123_dp, 0.0785623573582086_dp, 0.0758607586301352_dp, 0.0731080402164608_dp, &
+         & 0.0703286107625800_dp, 0.0675467885948819_dp, 0.0647861493023640_dp, 0.0620689395919598_dp, &
+         & 0.0594155816861388_dp, 0.0568442844329056_dp, 0.0543707695589717_dp, 0.0520081142407136_dp, &
+         & 0.0497667046537771_dp, 0.0476542889703566_dp, 0.0456761127513801_dp, 0.0438351163438142_dp, &
+         & 0.0421321729958493_dp, 0.0405663485454966_dp, 0.0391214884381412_dp, 0.0378225533153795_dp, &
+         & 0.0366494926977552_dp, 0.0355967391873406_dp, 0.0346581057574511_dp, 0.0338269547182080_dp, &
+         & 0.0330963397682353_dp, 0.0324591235925737_dp, 0.0319080744814713_dp, 0.0314359459778899_dp, &
+         & 0.0310355436743919_dp, 0.0306997830425217_dp, 0.0304217416596515_dp, 0.0301947084709013_dp, &
+         & 0.0300122318581302_dp, 0.0298681673556871_dp, 0.0297567249264574_dp, 0.0296725148604651_dp, &
+         & 0.0296105906499449_dp, 0.0295664866817589_dp, 0.0295362483122901_dp, 0.0295164518717570_dp, &
+         & 0.0295042123787397_dp, 0.0294971772084267_dp, 0.0294935045992446_dp, 0.0294918266413760_dp, &
+         & 0.0294911971956324_dp, 0.0294910259724617_dp, 0.0294910007003253_dp, 0.0294909986755485_dp, &
+         & 0.0294909613376575_dp, 0.0294907083687264_dp, 0.0294897784401158_dp, 0.0294872996839288_dp, &
+         & 0.0294818754536053_dp, 0.0294714891929502_dp, 0.0294534329974212_dp, 0.0294242644156171_dp, &
+         & 0.0293797959540569_dp, 0.0293151215132781_dp, 0.0292246834698346_dp, 0.0291023831884374_dp, &
+         & 0.0289417362800819_dp, 0.0287360718351266_dp, 0.0284787721480058_dp, 0.0281635462027836_dp, &
+         & 0.0277847266094042_dp, 0.0273375760918881_dp, 0.0268185864508865_dp, 0.0262257506345733_dp, &
+         & 0.0255587876312973_dp, 0.0248193007428128_dp, 0.0240108526464198_dp, 0.0231389455084710_dp, &
+         & 0.0222109009929881_dp, 0.0212356427543909_dp, 0.0202233921097559_dp, 0.0191852951144611_dp, &
+         & 0.0181330052740876_dp, 0.0170782498274207_dp, 0.0160324084383134_dp, 0.0150061311311234_dp, &
+         & 0.0140090177027403_dp, 0.0130493743067319_dp, 0.0121340553346911_dp, 0.0112683910949727_dp, &
+         & 0.0104561950023268_dp, 0.0096998387163154_dp, 0.0090003802751468_dp, 0.0083577288321806_dp, &
+         & 0.0077708299114150_dp, 0.0072378567747293_dp, 0.0067563960633734_dp, 0.0063236188689544_dp, &
+         & 0.0059364314019774_dp, 0.0055916021567697_dp, 0.0052858647399674_dp, 0.0050159972542190_dp, &
+         & 0.0047788803189448_dp, 0.0045715365193288_dp, 0.0043911544012332_dp, 0.0042351001614449_dp, &
+         & 0.0041009200196243_dp, 0.0039863359692518_dp, 0.0038892372537447_dp, 0.0038076695364495_dp, &
+         & 0.0037398233573853_dp, 0.0036840231054995_dp, 0.0036387173905297_dp, 0.0036024713745775_dp, &
+         & 0.0035739613213153_dp, 0.0035519713450398_dp, 0.0035353920974046_dp, 0.0035232209257643_dp, &
+         & 0.0035145628833746_dp, 0.0035086318771107_dp, 0.0035047512090287_dp, 0.0035023528055120_dp, &
+         & 0.0035009745276184_dp, 0.0035002551064878_dp, 0.0034999264345004_dp, 0.0034998031443578_dp, &
+         & 0.0034997696070178_dp, 0.0034997646569934_dp, 0.0034997642566807_dp, 0.0034997568278499_dp, &
+         & 0.0034997064968110_dp, 0.0034995214795757_dp, 0.0034990283300118_dp, 0.0034979492793283_dp, &
+         & 0.0034958835155052_dp, 0.0034922934725543_dp, 0.0034864972808819_dp, 0.0034776686037432_dp, &
+         & 0.0034648451085459_dp, 0.0034469467399845_dp, 0.0034228047161022_dp, 0.0033912017043107_dp, &
+         & 0.0033509229173561_dp, 0.0033008168989852_dp, 0.0032398635943736_dp, 0.0031672460261518_dp, &
+         & 0.0030824206886990_dp, 0.0029851808380883_dp, 0.0028757064175267_dp, 0.0027545946144301_dp, &
+         & 0.0026228661152459_dp, 0.0024819440052255_dp, 0.0023336048012013_dp, 0.0021799040063755_dp, &
+         & 0.0020230814291580_dp, 0.0018654538665430_dp, 0.0017093042217979_dp, 0.0015567764466624_dp, &
+         & 0.0014097848123029_dp, 0.0012699440774924_dp, 0.0011385244777031_dp, 0.0010164325544722_dp, &
+         & 0.0009042161351971_dp, 0.0008023995200546_dp, 0.0007102728338708_dp, 0.0006275489143448_dp, &
+         & 0.0005543019768197_dp, 0.0004898145609573_dp, 0.0004329472212348_dp, 0.0003830229054245_dp, &
+         & 0.0003392829824591_dp, 0.0003009009786581_dp, 0.0002674376179073_dp, 0.0002381952284907_dp, &
+         & 0.0002123279304413_dp, 0.0001893671931299_dp, 0.0001688391138259_dp, 0.0001503580978692_dp, &
+         & 1.3361780035836500e-04_dp, 1.1838017200460599e-04_dp, 1.0446856177281899e-04_dp, 9.1759728825024895e-05_dp, &
+         & 8.0114019262111897e-05_dp, 6.9438132733523603e-05_dp, 5.9680516713456200e-05_dp, 5.0802627612256401e-05_dp, &
+         & 4.2775899245839402e-05_dp, 3.5578860448026703e-05_dp, 2.9187070857972200e-05_dp, 2.3568933734452501e-05_dp, &
+         & 1.8690655231523599e-05_dp, 1.4515344027188301e-05_dp, 1.1001162263824000e-05_dp, 8.1008308754348895e-06_dp, &
+         & 5.7619194890890000e-06_dp, 3.9275579197806101e-06_dp, 2.5373907490688899e-06_dp, 1.5286780623569000e-06_dp, &
+         &  8.3749407764344099e-07_dp, 4.0001302181735799e-07_dp, -1.4210854715202001e-14_dp, -2.1316282072802999e-14_dp, &
+         & -2.1316282072802999e-14_dp &
+         &]
+      case (56)
+         out = [&
+         & 56.0000000000000000_dp, 55.9999999457086020_dp, 55.9999982669101968_dp, 55.9999868927854010_dp, &
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+         & 0.2564438536260450_dp, 0.2507508080364360_dp, 0.2447880908478620_dp, 0.2385993094982480_dp, &
+         & 0.2322321708171980_dp, 0.2257372749201780_dp, 0.2191668388628970_dp, 0.2125734069339340_dp, &
+         & 0.2060086035276290_dp, 0.1995219799029190_dp, 0.1931599982023970_dp, 0.1869651856105610_dp, &
+         & 0.1809754794566270_dp, 0.1752237715273280_dp, 0.1697376479505270_dp, 0.1645393106974640_dp, &
+         & 0.1596456587253670_dp, 0.1550685014348760_dp, 0.1508148745111480_dp, 0.1468874281423500_dp, &
+         & 0.1432848596442890_dp, 0.1400023661193120_dp, 0.1370320973577320_dp, 0.1343635941945110_dp, &
+         & 0.1319842024843040_dp, 0.1298794573737330_dp, 0.1280334363664580_dp, 0.1264290826286540_dp, &
+         & 0.1250485019989470_dp, 0.1238732382532890_dp, 0.1228845313942200_dp, 0.1220635632000080_dp, &
+         & 0.1213916931306400_dp, 0.1208506861185300_dp, 0.1204229319673400_dp, 0.1200916542406530_dp, &
+         & 0.1198411048358640_dp, 0.1196567390846400_dp, 0.1195253653393640_dp, 0.1194352626913900_dp, &
+         & 0.1193762607651510_dp, 0.1193397764235230_dp, 0.1193188036326380_dp, 0.1193078545499450_dp, &
+         & 0.1193028519615990_dp, 0.1193009753403300_dp, 0.1193004648559470_dp, 0.1193003895095970_dp, &
+         & 0.1193003835276870_dp, 0.1193002739014730_dp, 0.1192995311690910_dp, 0.1192968008260920_dp, &
+         & 0.1192895228858790_dp, 0.1192735960622850_dp, 0.1192430972423890_dp, 0.1191900687792400_dp, &
+         & 0.1191043854984460_dp, 0.1189737125116540_dp, 0.1187835637799920_dp, 0.1185174696461860_dp, &
+         & 0.1181572590130170_dp, 0.1176834582798490_dp, 0.1170758044301790_dp, 0.1163138637907370_dp, &
+         & 0.1153777411266150_dp, 0.1142488562597420_dp, 0.1129107578581530_dp, 0.1113499371649450_dp, &
+         & 0.1095565990551040_dp, 0.1075253447783950_dp, 0.1052557208325030_dp, 0.1027525921606770_dp, &
+         & 0.1000263055047550_dp, 0.0970926200649842_dp, 0.0939723969571560_dp, 0.0906910552005016_dp, &
+         & 0.0872778186412546_dp, 0.0837647936438231_dp, 0.0801859299014538_dp, 0.0765759249209381_dp, &
+         & 0.0729691356783633_dp, 0.0693985583119741_dp, 0.0658949288907920_dp, 0.0624859862873137_dp, &
+         & 0.0591959234809991_dp, 0.0560450379559612_dp, 0.0530495769349315_dp, 0.0502217604458508_dp, &
+         & 0.0475699556431337_dp, 0.0450989698762498_dp, 0.0428104276883516_dp, 0.0407031977995658_dp, &
+         & 0.0387738394770381_dp, 0.0370170426901737_dp, 0.0354260422812942_dp, 0.0339929923483879_dp, &
+         & 0.0327092926026893_dp, 0.0315658632799298_dp, 0.0305533690693593_dp, 0.0296623954343644_dp, &
+         & 0.0288835826873353_dp, 0.0282077243595609_dp, 0.0276258369106017_dp, 0.0271292077888887_dp, &
+         & 0.0267094284093687_dp, 0.0263584178615801_dp, 0.0260684421893203_dp, 0.0258321329631102_dp, &
+         & 0.0256425076658076_dp, 0.0254929931905039_dp, 0.0253774525728474_dp, 0.0252902140111786_dp, &
+         & 0.0252261003326169_dp, 0.0251804563983669_dp, 0.0251491715518810_dp, 0.0251286941256907_dp, &
+         & 0.0251160352336370_dp, 0.0251087595604389_dp, 0.0251049615639403_dp, 0.0251032263559736_dp, &
+         & 0.0251025754402647_dp, 0.0251023983773635_dp, 0.0251023722433246_dp, 0.0251023701494901_dp, &
+         & 0.0251023315381929_dp, 0.0251020699420792_dp, 0.0251011083040851_dp, 0.0250985450606152_dp, &
+         & 0.0250929361263985_dp, 0.0250821968806960_dp, 0.0250635291713763_dp, 0.0250333784715480_dp, &
+         & 0.0249874263963363_dp, 0.0249206236723651_dp, 0.0248272681673285_dp, 0.0247011315370429_dp, &
+         & 0.0245356362560187_dp, 0.0243240821506987_dp, 0.0240599180426315_dp, 0.0237370498686218_dp, &
+         & 0.0233501719843616_dp, 0.0228951037637017_dp, 0.0223691097040799_dp, 0.0217711787448494_dp, &
+         & 0.0211022380679395_dp, 0.0203652787889013_dp, 0.0195653758724958_dp, 0.0187095921386842_dp, &
+         & 0.0178067657364593_dp, 0.0168671909301992_dp, 0.0159022121682355_dp, 0.0149237598187568_dp, &
+         & 0.0139438614684337_dp, 0.0129741644872823_dp, 0.0120255034284966_dp, 0.0111075401235752_dp, &
+         & 0.0102284959522621_dp, 0.0093949859742111_dp, 0.0086119547753114_dp, 0.0078827052452368_dp, &
+         & 0.0072090049735465_dp, 0.0065912510016872_dp, 0.0060286723272185_dp, 0.0055195504841876_dp, &
+         & 0.0050614411396026_dp, 0.0046513832777819_dp, 0.0042860865423222_dp, 0.0039620911488782_dp, &
+         & 0.0036758981038005_dp, 0.0034240700754182_dp, 0.0032033051112421_dp, 0.0030104865332063_dp, &
+         & 0.0028427128894108_dp, 0.0026973119359468_dp, 0.0025718424102195_dp, 0.0024640869601953_dp, &
+         & 0.0023720391097228_dp, 0.0022938866387463_dp, 0.0022279932811600_dp, 0.0021728802156034_dp, &
+         & 0.0021272084519453_dp, 0.0020897628968015_dp, 0.0020594386077164_dp, 0.0020352295072996_dp, &
+         & 0.0020162196205860_dp, 0.0020015767147399_dp, 0.0019905480603626_dp, 0.0019824579015193_dp, &
+         & 0.0019767061212903_dp, 0.0019727675292671_dp, 0.0019701911806891_dp, 0.0019685991661902_dp, &
+         & 0.0019676843846028_dp, 0.0019672069220746_dp, 0.0019669887965392_dp, 0.0019669069751274_dp, &
+         & 0.0019668847182004_dp, 0.0019668814331482_dp, 0.0019668811674620_dp, 0.0019668762373684_dp, &
+         & 0.0019668428354507_dp, 0.0019667200505609_dp, 0.0019663927826414_dp, 0.0019656767245735_dp, &
+         & 0.0019643059998415_dp, 0.0019619242124733_dp, 0.0019580797463732_dp, 0.0019522262252067_dp, &
+         & 0.0019437290791515_dp, 0.0019318791111473_dp, 0.0019159137668367_dp, 0.0018950464398273_dp, &
+         & 0.0018685035619157_dp, 0.0018355684376488_dp, 0.0017956298289050_dp, 0.0017482322790983_dp, &
+         & 0.0016931242343219_dp, 0.0016302993582258_dp, 0.0015600262394528_dp, 0.0014828621127876_dp, &
+         & 0.0013996473320077_dp, 0.0013114790959037_dp, 0.0012196651534637_dp, 0.0011256605876753_dp, &
+         & 0.0010309929169594_dp, 0.0009371822762390_dp, 0.0008456640603427_dp, 0.0007577210018894_dp, &
+         & 0.0006744302895072_dp, 0.0005966292664255_dp, 0.0005249008661679_dp, 0.0004595776537570_dp, &
+         & 0.0004007614966355_dp, 0.0003483547067589_dp, 0.0003020980359523_dp, 0.0002616111011022_dp, &
+         & 0.0002264315110665_dp, 0.0001960499686433_dp, 0.0001699397250192_dp, 0.0001475797801689_dp, &
+         & 1.2847200683552301e-04_dp, 1.1215286310317700e-04_dp, 9.8200587267172095e-05_dp, 8.6238820422579506e-05_dp, &
+         & 7.5937553219773704e-05_dp, 6.7012194179483204e-05_dp, 5.9221419945743003e-05_dp, 5.2364272178806500e-05_dp, &
+         & 4.6276747006857002e-05_dp, 4.0827981614199898e-05_dp, 3.5916117440137903e-05_dp, 3.1463956986499397e-05_dp, &
+         & 2.7414569260031399e-05_dp, 2.3727022544051100e-05_dp, 2.0372421623449100e-05_dp, 1.7330393120573700e-05_dp, &
+         & 1.4586107589309400e-05_dp, 1.2127869212008599e-05_dp, 9.9452600892391308e-06_dp, 8.0277940668338505e-06_dp, &
+         & 6.3640151068966597e-06_dp, 4.9409637696840002e-06_dp, 3.7439335756062098e-06_dp, 2.7564440543414999e-06_dp, &
+         & 1.9603682801516702e-06_dp, 1.3361659227939501e-06_dp, 8.6318667058549202e-07_dp, 5.2002186379240801e-07_dp, &
+         & -7.1054273576010003e-15_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, &
+         & 0.0000000000000000_dp &
+         &]
+      case (57)
+         out = [&
+         & 57.0000000000000000_dp, 56.9999999443665004_dp, 56.9999982240688965_dp, 56.9999865687804004_dp, &
+         & 56.9999437224198999_dp, 56.9998295075483981_dp, 56.9995795399044027_dp, 56.9991007790775015_dp, &
+         & 56.9982680757845017_dp, 56.9969218455824986_dp, 56.9948669642174011_dp, 56.9918729425118968_dp, &
+         & 56.9876754002931989_dp, 56.9819788210367975_dp, 56.9744605333119978_dp, 56.9647758332408998_dp, &
+         & 56.9525641351332013_dp, 56.9374560157687029_dp, 56.9190810012944013_dp, 56.8970759334422027_dp, &
+         & 56.8710937421675027_dp, 56.8408124428574979_dp, 56.8059441660239983_dp, 56.7662440145191027_dp, &
+         & 56.7215185275821980_dp, 56.6716335137394012_dp, 56.6165209987335984_dp, 56.5561850246098032_dp, &
+         & 56.4907060369543004_dp, 56.4202436139475978_dp, 56.3450373268920970_dp, 56.2654055784348017_dp, &
+         & 56.1817423401028009_dp, 56.0945118002871013_dp, 56.0042410302409976_dp, 55.9115108703590025_dp, &
+         & 55.8169453232137016_dp, 55.7211998060414970_dp, 55.6249486583562032_dp, 55.5288723178778980_dp, &
+         & 55.4336445706871999_dp, 55.3399202527508010_dp, 55.2483237347604970_dp, 55.1594384664870034_dp, &
+         & 55.0737977963826992_dp, 54.9918772220098973_dp, 54.9140881707944004_dp, 54.8407733609913990_dp, &
+         & 54.7722037506415020_dp, 54.7085770476296034_dp, 54.6500177259397972_dp, 54.5965784705565014_dp, &
+         & 54.5482429548438006_dp, 54.5049298383489997_dp, 54.4664978588004018_dp, 54.4327518789180971_dp, &
+         & 54.4034497361915967_dp, 54.3783097320144009_dp, 54.3570185858149983_dp, 54.3392396706362035_dp, &
+         & 54.3246213396890028_dp, 54.3128051495493978_dp, 54.3034337856485010_dp, 54.2961585002378015_dp, &
+         & 54.2906458826317007_dp, 54.2865837965354032_dp, 54.2836863397094973_dp, 54.2816977068011965_dp, &
+         & 54.2803948663246985_dp, 54.2795889966117002_dp, 54.2791256619756979_dp, 54.2788837480587034_dp, &
+         & 54.2787732129703997_dp, 54.2787317470185968_dp, 54.2787204672343009_dp, 54.2787188023603022_dp, &
+         & 54.2787185839639008_dp, 54.2787134955907007_dp, 54.2786790210948027_dp, 54.2785522889192009_dp, &
+         & 54.2782144653030016_dp, 54.2774751355929013_dp, 54.2760591886518000_dp, 54.2735967133532995_dp, &
+         & 54.2696163452881990_dp, 54.2635424205722003_dp, 54.2546962022352020_dp, 54.2423013430837031_dp, &
+         & 54.2254936372259024_dp, 54.2033349910169022_dp, 54.1748314138971025_dp, 54.1389546918424003_dp, &
+         & 54.0946672627890024_dp, 54.0409496668825966_dp, 53.9768297980878984_dp, 53.9014130426814972_dp, &
+         & 53.8139122624711987_dp, 53.7136764783900986_dp, 53.6002170501116026_dp, 53.4732301496042979_dp, &
+         & 53.3326144110369000_dp, 53.1784828203036994_dp, 53.0111681863811981_dp, 52.8312218976172971_dp, &
+         & 52.6394060733634035_dp, 52.4366796242715978_dp, 52.2241790768080989_dp, 52.0031952506674031_dp, &
+         & 51.7751469741099015_dp, 51.5415529826752987_dp, 51.3040030007271000_dp, 51.0641288024233972_dp, &
+         & 50.8235758443831998_dp, 50.5839759021201019_dp, 50.3469210502441982_dp, 50.1139393004339979_dp, &
+         & 49.8864722273401000_dp, 49.6658549359313000_dp, 49.4532987218019002_dp, 49.2498767296132982_dp, &
+         & 49.0565128236317989_dp, 48.8739737638449014_dp, 48.7028646553048006_dp, 48.5436275299252031_dp, &
+         & 48.3965428435266034_dp, 48.2617336301722020_dp, 48.1391720451992029_dp, 48.0286880370639011_dp, &
+         & 47.9299799045205006_dp, 47.8426265102369968_dp, 47.7661009287851996_dp, 47.6997853035592030_dp, &
+         & 47.6429866739236019_dp, 47.5949535128327028_dp, 47.5548926893711013_dp, 47.5219865435924973_dp, &
+         & 47.4954097361910001_dp, 47.4743455163009997_dp, 47.4580010401566028_dp, 47.4456213740777031_dp, &
+         & 47.4365018293066001_dp, 47.4299983048383993_dp, 47.4255353578761998_dp, 47.4226117792060009_dp, &
+         & 47.4208035208613978_dp, 47.4197639032625986_dp, 47.4192211150813989_dp, 47.4189731074580010_dp, &
+         & 47.4188800707151970_dp, 47.4188547624162027_dp, 47.4188510269624999_dp, 47.4188506971930011_dp, &
+         & 47.4188442355226982_dp, 47.4188004567466024_dp, 47.4186395211962974_dp, 47.4182105250437971_dp, &
+         & 47.4172716720637979_dp, 47.4154736356206001_dp, 47.4123467704584982_dp, 47.4072927512662972_dp, &
+         & 47.3995811193290990_dp, 47.3883511081625031_dp, 47.3726189913109010_dp, 47.3512910478107969_dp, &
+         & 47.3231820712241031_dp, 47.2870391563891985_dp, 47.2415702865707985_dp, 47.1854770184407997_dp, &
+         & 47.1174903332469981_dp, 47.0364085036878024_dp, 46.9411356351229969_dp, 46.8307193971619000_dp, &
+         & 46.7043863886106010_dp, 46.5615735948912004_dp, 46.4019545170307026_dp, 46.2254587805730992_dp, &
+         & 46.0322843626955986_dp, 45.8229019800828965_dp, 45.5980516144142030_dp, 45.3587315603588976_dp, &
+         & 45.1061807077384032_dp, 44.8418549785758032_dp, 44.5673989272844011_dp, 44.2846135091297981_dp, &
+         & 43.9954209806278982_dp, 43.7018278658907988_dp, 43.4058869311999018_dp, 43.1096591492526002_dp, &
+         & 42.8151766717803000_dp, 42.5244078241654009_dp, 42.2392250591811020_dp, 41.9613766523301024_dp, &
+         & 41.6924627047361014_dp, 41.4339157725668983_dp, 41.1869862001043003_dp, 40.9527320266891977_dp, &
+         & 40.7320131843037032_dp, 40.5254896081487033_dp, 40.3336228422732006_dp, 40.1566807243118973_dp, &
+         & 39.9947447631869011_dp, 39.8477198671689976_dp, 39.7153461253869011_dp, 39.5972123853655020_dp, &
+         & 39.4927713973392969_dp, 39.4013563104833011_dp, 39.3221983064946983_dp, 39.2544451432843005_dp, &
+         & 39.1971803581531972_dp, 39.1494428487877002_dp, 39.1102465153522019_dp, 39.0785996119886008_dp, &
+         & 39.0535234254586001_dp, 39.0340698767775010_dp, 39.0193376324467991_dp, 39.0084863185998998_dp, &
+         & 39.0007484563180995_dp, 38.9954387805928988_dp, 38.9919606684723021_dp, 38.9898094819335981_dp, &
+         & 38.9885727246543965_dp, 38.9879270146888004_dp, 38.9876319819129975_dp, 38.9875213045190989_dp, &
+         & 38.9874911975453031_dp, 38.9874867538176986_dp, 38.9874863973756973_dp, 38.9874798192141014_dp, &
+         & 38.9874352511950022_dp, 38.9872714143487968_dp, 38.9868346847507965_dp, 38.9858789090598989_dp, &
+         & 38.9840484702932031_dp, 38.9808652781729990_dp, 38.9757202759593966_dp, 38.9678699601221012_dp, &
+         & 38.9564382985173978_dp, 38.9404243040269975_dp, 38.9187153708666003_dp, 38.8901063077764988_dp, &
+         & 38.8533238057264967_dp, 38.8070558601285001_dp, 38.7499854351385977_dp, 38.6808274208688019_dp, &
+         & 38.5983677078573990_dp, 38.5015030050156000_dp, 38.3892798776238990_dp, 38.2609314009084969_dp, &
+         & 38.1159098297771024_dp, 37.9539137883847033_dp, 37.7749086879695994_dp, 37.5791393809592975_dp, &
+         & 37.3671344352407999_dp, 37.1397018354618993_dp, 36.8979163510232979_dp, 36.6430992128915989_dp, &
+         & 36.3767910770412968_dp, 36.1007194952374988_dp, 35.8167622536003023_dp, 35.5269079825313980_dp, &
+         & 35.2332154084628968_dp, 34.9377725351099997_dp, 34.6426569331356973_dp, 34.3498981955803018_dp, &
+         & 34.0614434824990013_dp, 33.7791269234714022_dp, 33.5046434621076017_dp, 33.2395275119019971_dp, &
+         & 32.9851365603935989_dp, 32.7426396321966990_dp, 32.5130103281758025_dp, 32.2970240192941986_dp, &
+         & 32.0952586988682995_dp, 31.9080989821748986_dp, 31.7357427737172983_dp, 31.5782101816581999_dp, &
+         & 31.4353543285376986_dp, 31.3068737739213994_dp, 31.1923263195296983_dp, 31.0911440064535007_dp, &
+         & 31.0026491360561991_dp, 30.9260711517626987_dp, 30.8605642098298993_dp, 30.8052252457442997_dp, &
+         & 30.7591123120370007_dp, 30.7212629265434991_dp, 30.6907121315049984_dp, 30.6665099278976001_dp, &
+         & 30.6477377205875001_dp, 30.6335233928157997_dp, 30.6230546269334987_dp, 30.6155901051062997_dp, &
+         & 30.6104682603580009_dp, 30.6071133047754991_dp, 30.6050383362149994_dp, 30.6038454141895997_dp, &
+         & 30.6032225952496013_dp, 30.6029380227308998_dp, 30.6028312695279006_dp, 30.6028022300470006_dp, &
+         & 30.6027979438796010_dp, 30.6027976132892015_dp, 30.6027916769454009_dp, 30.6027514573423005_dp, &
+         & 30.6026036058103017_dp, 30.6022094877851991_dp, 30.6013469694952001_dp, 30.5996951413642009_dp, &
+         & 30.5968225908077009_dp, 30.5921797650830989_dp, 30.5850958811669003_dp, 30.5747807420016997_dp, &
+         & 30.5603317037207987_dp, 30.5407459033204987_dp, 30.5149376982068006_dp, 30.4817610874596987_dp, &
+         & 30.4400366817809989_dp, 30.3885825708826012_dp, 30.3262482136973013_dp, 30.2519502625298990_dp, &
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+         & 1.3509916956946399_dp, 1.3311961628735800_dp, 1.3119200831142599_dp, 1.2932739488690901_dp, &
+         & 1.2753515341767900_dp, 1.2582299430706800_dp, 1.2419701886542001_dp, 1.2266181523183799_dp, &
+         & 1.2122057789088301_dp, 1.1987523833510001_dp, 1.1862659715701300_dp, 1.1747445080808301_dp, &
+         & 1.1641770901775901_dp, 1.1545450116176099_dp, 1.1458227159367100_dp, 1.1379786511017300_dp, &
+         & 1.1309760438100900_dp, 1.1247736144292200_dp, 1.1193262533825401_dp, 1.1145856776422800_dp, &
+         & 1.1105010825843500_dp, 1.1070198002981599_dp, 1.1040879708624900_dp, 1.1016512283334201_dp, &
+         & 1.0996553984246900_dp, 1.0980472002660799_dp, 1.0967749403901501_dp, 1.0957891834304501_dp, &
+         & 1.0950433811465701_dp, 1.0944944395467000_dp, 1.0941032032574001_dp, 1.0938348370265201_dp, &
+         & 1.0936590863868600_dp, 1.0935504029926599_dp, 1.0934879247864100_dp, 1.0934553066785699_dp, &
+         & 1.0934404034574301_dp, 1.0934348127869999_dp, 1.0934332919930900_dp, 1.0934330675272399_dp, &
+         & 1.0934330502842400_dp, 1.0934327415628100_dp, 1.0934306499319699_dp, 1.0934229609101800_dp, &
+         & 1.0934024650657701_dp, 1.0933576117542501_dp, 1.0932717174409099_dp, 1.0931223626009801_dp, &
+         & 1.0928810086510801_dp, 1.0925128632725500_dp, 1.0919770184460700_dp, 1.0912268800119500_dp, &
+         & 1.0902109000473299_dp, 1.0888736133331300_dp, 1.0871569663962799_dp, 1.0850019121433501_dp, &
+         & 1.0823502255209900_dp, 1.0791464770870300_dp, 1.0753400835682101_dp, 1.0708873395822300_dp, &
+         & 1.0657533250924400_dp, 1.0599135810562199_dp, 1.0533554527303499_dp, 1.0460790167706899_dp, &
+         & 1.0380975338061600_dp, 1.0294374003169799_dp, 1.0201376089013601_dp, 1.0102487601455901_dp, &
+         & 0.9998316981271740_dp, 0.9889558617223880_dp, 0.9776974534986490_dp, 0.9661375269956520_dp, &
+         & 0.9543600832686040_dp, 0.9424502514936680_dp, 0.9304926094693040_dp, 0.9185696809576740_dp, &
+         & 0.9067606301557730_dp, 0.8951401603150660_dp, 0.8837776138568930_dp, 0.8727362648357579_dp, &
+         & 0.8620727905632110_dp, 0.8518369068874350_dp, 0.8420711504583380_dp, 0.8328107909367120_dp, &
+         & 0.8240838563435630_dp, 0.8159112555132850_dp, 0.8083069828538780_dp, 0.8012783922553840_dp, &
+         & 0.7948265289032790_dp, 0.7889465097960910_dp, 0.7836279457634840_dp, 0.7788553995672910_dp, &
+         & 0.7746088761004090_dp, 0.7708643416700910_dp, 0.7675942697973210_dp, 0.7647682108607010_dp, &
+         & 0.7623533822815670_dp, 0.7603152748461430_dp, 0.7586182692858470_dp, 0.7572262555161799_dp, &
+         & 0.7561032451228660_dp, 0.7552139659529620_dp, 0.7545244262023590_dp, 0.7540024343668750_dp, &
+         & 0.7536180609979510_dp, 0.7533440285016010_dp, 0.7531560163086790_dp, 0.7530328706389680_dp, &
+         & 0.7529567107232890_dp, 0.7529129266158630_dp, 0.7528900674474740_dp, 0.7528796229232380_dp, &
+         & 0.7528757048246250_dp, 0.7528746390070890_dp, 0.7528744816946680_dp, 0.7528744695180480_dp, &
+         & 0.7528742503049700_dp, 0.7528727651046270_dp, 0.7528673053583010_dp, 0.7528527517345650_dp, &
+         & 0.7528209017661500_dp, 0.7527599063436550_dp, 0.7526538381620680_dp, 0.7524824128245340_dp, &
+         & 0.7522208804963600_dp, 0.7518401026289750_dp, 0.7513068241424040_dp, 0.7505841463626910_dp, &
+         & 0.7496321997875550_dp, 0.7484090083260850_dp, 0.7468715280995400_dp, 0.7449768344779460_dp, &
+         & 0.7426834212624130_dp, 0.7399525665352090_dp, 0.7367497115955930_dp, 0.7330457935732539_dp, &
+         & 0.7288184697150730_dp, 0.7240531727241331_dp, 0.7187439422971590_dp, 0.7128939880921410_dp, &
+         & 0.7065159531863470_dp, 0.6996318635959400_dp, 0.6922727671976719_dp, 0.6844780828146140_dp, &
+         & 0.6762946957222340_dp, 0.6677758480619000_dp, 0.6589798806800640_dp, 0.6499688863159960_dp, &
+         & 0.6408073329379180_dp, 0.6315607109542610_dp, 0.6222942499440260_dp, 0.6130717406019600_dp, &
+         & 0.6039544869659540_dp, 0.5950004037468800_dp, 0.5862632645405550_dp, 0.5777920993882470_dp, &
+         & 0.5696307347785280_dp, 0.5618174656931670_dp, 0.5543848474483040_dp, 0.5473595945181911_dp, &
+         & 0.5407625738786590_dp, 0.5346088813297880_dp, 0.5289079904781669_dp, 0.5236639653761230_dp, &
+         & 0.5188757290954060_dp, 0.5145373816663720_dp, 0.5106385617829260_dp, 0.5071648474158790_dp, &
+         & 0.5040981909545860_dp, 0.5014173846817940_dp, 0.4990985522566830_dp, 0.4971156614367090_dp, &
+         & 0.4954410525286190_dp, 0.4940459760735220_dp, 0.4929011321196410_dp, 0.4919772022270050_dp, &
+         & 0.4912453642078840_dp, 0.4906777786758240_dp, 0.4902480358910990_dp, 0.4899315512733080_dp, &
+         & 0.4897058983942980_dp, 0.4895510693190420_dp, 0.4894496538301280_dp, 0.4893869313053050_dp, &
+         & 0.4893508717174340_dp, 0.4893320452571070_dp, 0.4893234432677220_dp, 0.4893202163606180_dp, &
+         & 0.4893193385632840_dp, 0.4893192090022250_dp, 0.4893191988923600_dp, 0.4893190158364430_dp, &
+         & 0.4893177756058620_dp, 0.4893132163890430_dp, 0.4893010632065330_dp, 0.4892744663430620_dp, &
+         & 0.4892235304711360_dp, 0.4891349535116800_dp, 0.4889917921431750_dp, 0.4887733683810040_dp, &
+         & 0.4884553287119930_dp, 0.4880098637661940_dp, 0.4874060923062800_dp, 0.4866106083170510_dp, &
+         & 0.4855881841456120_dp, 0.4843026160477920_dp, 0.4827176913445400_dp, 0.4807982490410080_dp, &
+         & 0.4785112987259050_dp, 0.4758271564743030_dp, 0.4727205520155380_dp, 0.4691716592521260_dp, &
+         & 0.4651670028516720_dp, 0.4607001973646520_dp, 0.4557724821202950_dp, 0.4503930246407750_dp, &
+         & 0.4445789767857420_dp, 0.4383552803493130_dp, 0.4317542313209090_dp, 0.4248148234734540_dp, &
+         & 0.4175819015239950_dp, 0.4101051612692430_dp, 0.4024380385972180_dp, 0.3946365311734970_dp, &
+         & 0.3867579961642560_dp, 0.3788599649780050_dp, 0.3709990120926390_dp, 0.3632297099659640_dp, &
+         & 0.3556036961288530_dp, 0.3481688721147120_dp, 0.3409687471545840_dp, 0.3340419328493520_dp, &
+         & 0.3274217886209740_dp, 0.3211362119642730_dp, 0.3152075626628560_dp, 0.3096527064388110_dp, &
+         & 0.3044831611182060_dp, 0.2997053273457410_dp, 0.2953207860814540_dp, 0.2913266463691360_dp, &
+         & 0.2877159289121280_dp, 0.2844779735160900_dp, 0.2815988611471950_dp, 0.2790618439163740_dp, &
+         & 0.2768477784962680_dp, 0.2749355601329810_dp, 0.2733025554274630_dp, 0.2719250324052000_dp, &
+         & 0.2707785861099410_dp, 0.2698385571509970_dp, 0.2690804394554790_dp, 0.2684802721109630_dp, &
+         & 0.2680150088289320_dp, 0.2676628574121980_dp, 0.2674035808433930_dp, 0.2672187513653130_dp, &
+         & 0.2670919492821750_dp, 0.2670088992027710_dp, 0.2669575380382700_dp, 0.2669280111708830_dp, &
+         & 0.2669125956888370_dp, 0.2669055522743020_dp, 0.2669029100538650_dp, 0.2669021913065560_dp, &
+         & 0.2669020852209840_dp, 0.2669020768725120_dp, 0.2669019248071080_dp, 0.2669008945422680_dp, &
+         & 0.2668971071893720_dp, 0.2668870115713060_dp, 0.2668649179348250_dp, 0.2668226074216160_dp, &
+         & 0.2667490336034320_dp, 0.2666301308928780_dp, 0.2664487428777350_dp, 0.2661846814676210_dp, &
+         & 0.2658149250295590_dp, 0.2653139602564420_dp, 0.2646542682243480_dp, 0.2638069498818890_dp, &
+         & 0.2627424801163020_dp, 0.2614315727280430_dp, 0.2598461314385220_dp, 0.2579602549220400_dp, &
+         & 0.2557512573781580_dp, 0.2532006610043850_dp, 0.2502951135532360_dp, 0.2470271835507420_dp, &
+         & 0.2433959881453230_dp, 0.2394076141464300_dp, 0.2350753015211990_dp, 0.2304193700602970_dp, &
+         & 0.2254668834263640_dp, 0.2202510594397250_dp, 0.2148104501424230_dp, 0.2091879287440290_dp, &
+         & 0.2034295318531390_dp, 0.1975832134493700_dp, 0.1916975711245430_dp, 0.1858206048470310_dp, &
+         & 0.1799985639235120_dp, 0.1742749294242070_dp, 0.1686895679637740_dp, 0.1632780795390190_dp, &
+         & 0.1580713484077950_dp, 0.1530952930143100_dp, 0.1483707998069690_dp, 0.1439138172298440_dp, &
+         & 0.1397355806067540_dp, 0.1358429361108690_dp, 0.1322387322387330_dp, 0.1289222496714260_dp, &
+         & 0.1258896444699360_dp, 0.1231343845561100_dp, 0.1206476647692090_dp, 0.1184187909670560_dp, &
+         & 0.1164355282915610_dp, 0.1146844126089660_dp, 0.1131510271435520_dp, 0.1118202484188590_dp, &
+         & 0.1106764668385200_dp, 0.1097037876565570_dp, 0.1088862178105290_dp, 0.1082078432448980_dp, &
+         & 0.1076530000704780_dp, 0.1072064413355630_dp, 0.1068534994747310_dp, 0.1065802428083910_dp, &
+         & 0.1063736229360190_dp, 0.1062216086391030_dp, 0.1061133010941190_dp, 0.1060390248748110_dp, &
+         & 0.1059903894263460_dp, 0.1059603164147300_dp, 0.1059430295269480_dp, 0.1059340048250380_dp, &
+         & 0.1059298815038120_dp, 0.1059283347262440_dp, 0.1059279139673850_dp, 0.1059278518643300_dp, &
+         & 0.1059278469338450_dp, 0.1059277565761510_dp, 0.1059271443908470_dp, 0.1059248939523130_dp, &
+         & 0.1059188952581640_dp, 0.1059057680177060_dp, 0.1058806306746120_dp, 0.1058369256764280_dp, &
+         & 0.1057663110836060_dp, 0.1056586280581020_dp, 0.1055019529069060_dp, 0.1052827409622590_dp, &
+         & 0.1049860674183020_dp, 0.1045959671093470_dp, 0.1040958709770980_dp, 0.1034691316297300_dp, &
+         & 0.1026996241143930_dp, 0.1017724011700380_dp, 0.1006743753669710_dp, 0.0993949944101118_dp, &
+         & 0.0979268713264858_dp, 0.0962663291192740_dp, 0.0944138204720204_dp, 0.0923741876877529_dp, &
+         & 0.0901567363239266_dp, 0.0877751075415603_dp, 0.0852469481438476_dp, 0.0825933923203550_dp, &
+         & 0.0798383836450185_dp, 0.0770078782308730_dp, 0.0741289786475221_dp, 0.0712290522120398_dp, &
+         & 0.0683348861478308_dp, 0.0654719261434948_dp, 0.0626636349638545_dp, 0.0599309953748772_dp, &
+         & 0.0572921683795045_dp, 0.0547623051944441_dp, 0.0523535008085503_dp, 0.0500748691650514_dp, &
+         & 0.0479327153177209_dp, 0.0459307781842782_dp, 0.0440705182875547_dp, 0.0423514274844408_dp, &
+         & 0.0407713414391964_dp, 0.0393267398699990_dp, 0.0380130238822289_dp, 0.0368247636435015_dp, &
+         & 0.0357559130426353_dp, 0.0347999907135588_dp, 0.0339502288882372_dp, 0.0331996930176430_dp, &
+         & 0.0325413760446054_dp, 0.0319682717134597_dp, 0.0314734314433593_dp, 0.0310500091470303_dp, &
+         & 0.0306912980097138_dp, 0.0303907626996889_dp, 0.0301420698093011_dp, 0.0299391185585449_dp, &
+         & 0.0297760729730641_dp, 0.0296473959147932_dp, 0.0295478845421613_dp, 0.0294727060558913_dp, &
+         & 0.0294174319940694_dp, 0.0293780689202947_dp, 0.0293510831334558_dp, 0.0293334170374848_dp, &
+         & 0.0293224950405673_dp, 0.0293162172863290_dp, 0.0293129401126748_dp, 0.0293114428316841_dp, &
+         & 0.0293108811639229_dp, 0.0293107283780003_dp, 0.0293107058271644_dp, 0.0293107040204177_dp, &
+         & 0.0293106707030617_dp, 0.0293104449738451_dp, 0.0293096151811127_dp, 0.0293074033485041_dp, &
+         & 0.0293025632643307_dp, 0.0292932956766805_dp, 0.0292771847470590_dp, 0.0292511599174006_dp, &
+         & 0.0292114873022911_dp, 0.0291537945282343_dp, 0.0290731324759363_dp, 0.0289640764976014_dp, &
+         & 0.0288208682571209_dp, 0.0286375972953508_dp, 0.0284084187550775_dp, 0.0281278005181491_dp, &
+         & 0.0277907895430971_dp, 0.0273932838082516_dp, 0.0269322934254319_dp, 0.0264061727015772_dp, &
+         & 0.0258148046666378_dp, 0.0251597211947114_dp, 0.0244441454405688_dp, 0.0236729487186835_dp, &
+         & 0.0228525206825481_dp, 0.0219905589741032_dp, 0.0210957915035408_dp, 0.0201776502854614_dp, &
+         & 0.0192459195483963_dp, 0.0183103821974768_dp, 0.0173804875564727_dp, 0.0164650599300344_dp, &
+         & 0.0155720624934261_dp, 0.0147084250951011_dp, 0.0138799385422104_dp, 0.0130912125285434_dp, &
+         & 0.0123456900664891_dp, 0.0116457083731092_dp, 0.0109925946811060_dp, 0.0103867852552426_dp, &
+         & 0.0098279567294526_dp, 0.0093151604159658_dp, 0.0088469521543146_dp, 0.0084215122878106_dp, &
+         & 0.0080367522649780_dp, 0.0076904060282956_dp, 0.0073801057010030_dp, 0.0071034421001102_dp, &
+         & 0.0068580113105696_dp, 0.0066414489949978_dp, 0.0064514543375367_dp, 0.0062858055805322_dp, &
+         & 0.0061423690570379_dp, 0.0060191034861248_dp, 0.0059140611124135_dp, 0.0058253870537897_dp, &
+         & 0.0057513179844619_dp, 0.0056901810348009_dp, 0.0056403935364528_dp, 0.0056004639903904_dp, &
+         & 0.0055689943900035_dp, 0.0055446838012756_dp, 0.0055263328952719_dp, 0.0055128489569256_dp, &
+         & 0.0055032507692729_dp, 0.0054966727015326_dp, 0.0054923673205849_dp, 0.0054897058973182_dp, &
+         & 0.0054881762875851_dp, 0.0054873778223339_dp, 0.0054870130263751_dp, 0.0054868761836033_dp, &
+         & 0.0054868389594773_dp, 0.0054868334652909_dp, 0.0054868330209601_dp, 0.0054868247754740_dp, &
+         & 0.0054867689113252_dp, 0.0054865635528145_dp, 0.0054860161732933_dp, 0.0054848184031471_dp, &
+         & 0.0054825251298212_dp, 0.0054785389845833_dp, 0.0054721013488717_dp, 0.0054622910412831_dp, &
+         & 0.0054480318289833_dp, 0.0054281098022102_dp, 0.0054012014064426_dp, 0.0053659125044803_dp, &
+         & 0.0053208282093067_dp, 0.0052645723903524_dp, 0.0051958747495533_dp, 0.0051136422737485_dp, &
+         & 0.0050170308268065_dp, 0.0049055118144494_dp, 0.0047789284126125_dp, 0.0046375359539397_dp, &
+         & 0.0044820218152495_dp, 0.0043135015470455_dp, 0.0041334899307657_dp, 0.0039438479250364_dp, &
+         & 0.0037467087742300_dp, 0.0035443885747028_dp, 0.0033392880339846_dp, 0.0031337928135571_dp, &
+         & 0.0029301796466186_dp, 0.0027305344400190_dp, 0.0025366869971677_dp, 0.0023501651014044_dp, &
+         & 0.0021721687645524_dp, 0.0020035637228162_dp, 0.0018448919283500_dp, 0.0016963959243768_dp, &
+         & 0.0015580536016557_dp, 0.0014296198349513_dp, 0.0013106717789029_dp, 0.0012006550384669_dp, &
+         & 0.0010989284176261_dp, 0.0010048054245075_dp, 0.0009175911509445_dp, 0.0008366135374658_dp, &
+         & 0.0007612483703170_dp, 0.0006909376771631_dp, 0.0006252015208190_dp, 0.0005636434823799_dp, &
+         & 0.0005059503630918_dp, 0.0004518868833969_dp, 0.0004012864140108_dp, 0.0003540389354555_dp, &
+         & 0.0003100774401972_dp, 0.0002693639110518_dp, 0.0002318758658646_dp, 0.0001975942545656_dp, &
+         & 1.6649324575723800e-04_dp, 1.3853218699466701e-04_dp, 1.1364980163364200e-04_dp, 9.1760511466532093e-05_dp, &
+         & 7.2752655711383300e-05_dp, 5.6488311670932503e-05_dp, 4.2804405168794801e-05_dp, 3.1514819248457102e-05_dp, &
+         & 2.2413252814601499e-05_dp, 1.5276636290195701e-05_dp, 9.8689691157005705e-06_dp, 5.9454999146168996e-06_dp, &
+         &  3.2572246766449102e-06_dp, 1.5557405959043499e-06_dp, 5.9858364664933095e-07_dp, -3.5527136788005003e-14_dp, &
+         & -4.2632564145605999e-14_dp &
+         &]
+      case (58)
+         out = [&
+         & 58.0000000000000000_dp, 57.9999999429693034_dp, 57.9999981794680011_dp, 57.9999862314672967_dp, &
+         & 57.9999423090579000_dp, 57.9998252257755027_dp, 57.9995689803817029_dp, 57.9990781957540023_dp, &
+         & 57.9982245793434998_dp, 57.9968445382485029_dp, 57.9947380464230022_dp, 57.9916688233040034_dp, &
+         & 57.9873658437790027_dp, 57.9815261606760970_dp, 57.9738189845465968_dp, 57.9638909329483027_dp, &
+         & 57.9513723338648035_dp, 57.9358844458457014_dp, 57.9170474407105971_dp, 57.8944889822382009_dp, &
+         & 57.8678532244505988_dp, 57.8368100438203996_dp, 57.8010643089302008_dp, 57.7603649774000019_dp, &
+         & 57.7145137930679013_dp, 57.6633733378954005_dp, 57.6068741760376994_dp, 57.5450208166195978_dp, &
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+         & 0.0378500693372317_dp, 0.0371849989595532_dp, 0.0366032622745749_dp, 0.0360988802597433_dp, &
+         & 0.0356657396442017_dp, 0.0352976634530933_dp, 0.0349884759540018_dp, 0.0347320639403179_dp, &
+         & 0.0345224358074887_dp, 0.0343537793287823_dp, 0.0342205182770599_dp, 0.0341173674049244_dp, &
+         & 0.0340393846001135_dp, 0.0339820185881194_dp, 0.0339411501757994_dp, 0.0339131248987883_dp, &
+         & 0.0338947750039367_dp, 0.0338834289456500_dp, 0.0338769069962410_dp, 0.0338735022140000_dp, &
+         & 0.0338719466008328_dp, 0.0338713630458471_dp, 0.0338712043069833_dp, 0.0338711808778598_dp, &
+         & 0.0338711790167494_dp, 0.0338711449277156_dp, 0.0338709139675615_dp, 0.0338700649462851_dp, &
+         & 0.0338678018248544_dp, 0.0338628493605952_dp, 0.0338533660208782_dp, 0.0338368782378922_dp, &
+         & 0.0338102398662912_dp, 0.0337696205649962_dp, 0.0337105265157263_dp, 0.0336278563963717_dp, &
+         & 0.0335159946640502_dp, 0.0333689430170452_dp, 0.0331804892365497_dp, 0.0329444104165830_dp, &
+         & 0.0326547051412902_dp, 0.0323058463583763_dp, 0.0318930439776466_dp, 0.0314125038046811_dp, &
+         & 0.0308616677076117_dp, 0.0302394192549187_dp, 0.0295462396271233_dp, 0.0287843005862811_dp, &
+         & 0.0279574844678478_dp, 0.0270713254537895_dp, 0.0261328715888354_dp, 0.0251504728106511_dp, &
+         & 0.0241335066093313_dp, 0.0230920585995804_dp, 0.0220365794364170_dp, 0.0209775404253918_dp, &
+         & 0.0199251076038536_dp, 0.0188822933868522_dp, 0.0178719642463676_dp, 0.0168940633172312_dp, &
+         & 0.0159551050768769_dp, 0.0150603723234113_dp, 0.0142139083390234_dp, 0.0134185594243945_dp, &
+         & 0.0126760579432244_dp, 0.0119871346178044_dp, 0.0113516487046255_dp, 0.0107687258772415_dp, &
+         & 0.0102368956508059_dp, 0.0097542222428046_dp, 0.0093184243901874_dp, 0.0089269809014354_dp, &
+         & 0.0085772199826479_dp, 0.0082663918302757_dp, 0.0079917254152875_dp, 0.0077504713949352_dp, &
+         & 0.0075399334665178_dp, 0.0073574903657843_dp, 0.0072006104399307_dp, 0.0070668605412436_dp, &
+         & 0.0069539109265193_dp, 0.0068595377917404_dp, 0.0067816249019543_dp, 0.0067181654646546_dp, &
+         & 0.0066672649914992_dp, 0.0066271454826179_dp, 0.0065961509003074_dp, 0.0065727536028035_dp, &
+         & 0.0065555611809032_dp, 0.0065433229788780_dp, 0.0065349354889506_dp, 0.0065294457887219_dp, &
+         & 0.0065260522479065_dp, 0.0065241018600233_dp, 0.0065230837445398_dp, 0.0065226185963354_dp, &
+         & 0.0065224441091871_dp, 0.0065223966450318_dp, 0.0065223896394357_dp, 0.0065223890781354_dp, &
+         & 0.0065223787272686_dp, 0.0065223085989245_dp, 0.0065220508046266_dp, 0.0065213636573347_dp, &
+         & 0.0065198600433121_dp, 0.0065169811744212_dp, 0.0065119770867952_dp, 0.0065038952945571_dp, &
+         & 0.0064915790385669_dp, 0.0064736765451556_dp, 0.0064486625786913_dp, 0.0064148732742737_dp, &
+         & 0.0063705547260682_dp, 0.0063139250523676_dp, 0.0062432486659532_dp, 0.0061569202956022_dp, &
+         & 0.0060535550236764_dp, 0.0059320793546931_dp, 0.0057918172624127_dp, 0.0056325644474029_dp, &
+         & 0.0054546438584069_dp, 0.0052589360854185_dp, 0.0050468796957546_dp, 0.0048204390034456_dp, &
+         & 0.0045820399173877_dp, 0.0043344778476140_dp, 0.0040808043981642_dp, 0.0038242011526393_dp, &
+         & 0.0035678492436517_dp, 0.0033148031622119_dp, 0.0030678770254582_dp, 0.0028295511968963_dp, &
+         & 0.0026019057966948_dp, 0.0023865843609059_dp, 0.0021847861876125_dp, 0.0019972818824314_dp, &
+         & 0.0018244455042478_dp, 0.0016662985931291_dp, 0.0015225637021885_dp, 0.0013927249954477_dp, &
+         & 0.0012760908848293_dp, 0.0011718515982793_dp, 0.0010791261297030_dp, 0.0009974444401593_dp, &
+         & 0.0009250372670522_dp, 0.0008613599772573_dp, 0.0008055373483913_dp, 0.0007567694085040_dp, &
+         & 0.0007143623318413_dp, 0.0006776891143687_dp, 0.0006460820184415_dp, 0.0006189388435587_dp, &
+         & 0.0005957784779156_dp, 0.0005761761780221_dp, 0.0005596815652424_dp, 0.0005458809451753_dp, &
+         & 0.0005344267277110_dp, 0.0005250183290642_dp, 0.0005173875180304_dp, 0.0005112898058712_dp, &
+         & 0.0005065000101041_dp, 0.0005028108493121_dp, 0.0005000331288514_dp, 0.0004979962737863_dp, &
+         & 0.0004965486574093_dp, 0.0004955576685433_dp, 0.0004949095695039_dp, 0.0004945091436142_dp, &
+         & 0.0004942790767544_dp, 0.0004941590013061_dp, 0.0004941041470445_dp, 0.0004940835707785_dp, &
+         & 0.0004940779737126_dp, 0.0004940771475788_dp, 0.0004940770807451_dp, 0.0004940758403507_dp, &
+         & 0.0004940674365983_dp, 0.0004940365443673_dp, 0.0004939542041384_dp, 0.0004937740405850_dp, &
+         & 0.0004934291441216_dp, 0.0004928298004643_dp, 0.0004918622746715_dp, 0.0004903888823264_dp, &
+         & 0.0004882496144489_dp, 0.0004852656170016_dp, 0.0004812448306595_dp, 0.0004759899598810_dp, &
+         & 0.0004693084231278_dp, 0.0004610230255295_dp, 0.0004509820087790_dp, 0.0004390693175225_dp, &
+         & 0.0004252170321450_dp, 0.0004094185917438_dp, 0.0003917399177240_dp, 0.0003723315801381_dp, &
+         & 0.0003514531405031_dp, 0.0003294023492657_dp, 0.0003064218001754_dp, 0.0002828741349319_dp, &
+         & 0.0002591822983646_dp, 0.0002357077550599_dp, 0.0002127823663187_dp, 0.0001907199769420_dp, &
+         & 0.0001698038931792_dp, 0.0001502708279446_dp, 0.0001322830811930_dp, 0.0001159685436960_dp, &
+         & 1.0129569529482300e-04_dp, 8.8177184608184702e-05_dp, 7.6482280711331896e-05_dp, 6.6048107278504604e-05_dp, &
+         & 5.6727888456009603e-05_dp, 4.8992734043906701e-05_dp, 4.2167950404348203e-05_dp, 3.6165073396432497e-05_dp, &
+         & 3.0832560454996403e-05_dp, 2.5952024891751100e-05_dp, 2.1115748410238700e-05_dp, 1.6458551414189101e-05_dp, &
+         & 1.2068325943914700e-05_dp, 7.9824789551707892e-06_dp, 4.4666547580618499e-06_dp, 1.7255123907489199e-06_dp, &
+         &  1.4599391704450701e-06_dp, 1.1068315473039501e-06_dp, -3.5527136788005003e-14_dp, 9.9025871946878397e-07_dp, &
+         & 1.1753697037875099e-06_dp, 1.1005186948409601e-06_dp, 9.3219215102635602e-07_dp, 7.8143034443201000e-07_dp, &
+         & 6.9524185875025100e-07_dp, 6.6330310488638102e-07_dp, 6.4823656487078604e-07_dp, 6.1961218023043298e-07_dp, &
+         & 5.6625150079980802e-07_dp, 4.9134496293845597e-07_dp, 4.0447688576250600e-07_dp, 3.1598277416833298e-07_dp, &
+         & -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, &
+         & -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, &
+         & -2.8421709430404001e-14_dp &
+         &]
+      case (59)
+         out = [&
+         & 59.0000000000000000_dp, 58.9999999414824998_dp, 58.9999981320071996_dp, 58.9999858725251016_dp, &
+         & 58.9999408050692011_dp, 58.9998206694502016_dp, 58.9995577437740977_dp, 58.9990541643860027_dp, &
+         & 58.9981782939612032_dp, 58.9967622742123012_dp, 58.9946008632187002_dp, 58.9914516181398980_dp, &
+         & 58.9870364436980026_dp, 58.9810444871008031_dp, 58.9731363227796024_dp, 58.9629493370188982_dp, &
+         & 58.9501041944068973_dp, 58.9342122455847033_dp, 58.9148837187631997_dp, 58.8917365248547000_dp, &
+         & 58.8644054960326031_dp, 58.8325518678820032_dp, 58.7958728039145981_dp, 58.7541107466344030_dp, &
+         & 58.7070623613820999_dp, 58.6545868194091966_dp, 58.5966131484124020_dp, 58.5331463670183965_dp, &
+         & 58.4642721201398032_dp, 58.3901595500993977_dp, 58.3110621777592968_dp, 58.2273166297986009_dp, &
+         & 58.1393391306522034_dp, 58.0476197750626000_dp, 57.9527147015965980_dp, 57.8552363892771027_dp, &
+         & 57.7558423890962018_dp, 57.6552228715404027_dp, 57.5540874149511978_dp, 57.4531514754348009_dp, &
+         & 57.3531229682686003_dp, 57.2546893572523032_dp, 57.1585055979561005_dp, 57.0651832198638971_dp, &
+         & 56.9752807673138975_dp, 56.8892957552260015_dp, 56.8076582367927969_dp, 56.7307260289217012_dp, &
+         & 56.6587815981427028_dp, 56.5920305746775014_dp, 56.5306018343532983_dp, 56.4745490655966975_dp, &
+         & 56.4238537203190020_dp, 56.3784292317223006_dp, 56.3381263678300996_dp, 56.3027395761658980_dp, &
+         & 56.2720141621595999_dp, 56.2456541315959981_dp, 56.2233305160986987_dp, 56.2046899908733977_dp, &
+         & 56.1893635864807024_dp, 56.1769752921279988_dp, 56.1671503476960012_dp, 56.1595230262082978_dp, &
+         & 56.1537437182811985_dp, 56.1494851455966000_dp, 56.1464475516674995_dp, 56.1443627448263030_dp, &
+         & 56.1429968998591988_dp, 56.1421520601204023_dp, 56.1416663201228019_dp, 56.1414127081623988_dp, &
+         & 56.1412968280442968_dp, 56.1412533569716032_dp, 56.1412415317441997_dp, 56.1412397863638972_dp, &
+         & 56.1412395574068981_dp, 56.1412342229814030_dp, 56.1411980814451965_dp, 56.1410652210552001_dp, &
+         & 56.1407110618837990_dp, 56.1399359822846975_dp, 56.1384515703123981_dp, 56.1358700346357011_dp, &
+         & 56.1316972357229034_dp, 56.1253297134651987_dp, 56.1160559920232984_dp, 56.1030623363742009_dp, &
+         & 56.0854430176788981_dp, 56.0622150164411011_dp, 56.0323369542551006_dp, 55.9947318981648010_dp, &
+         & 55.9483135283048014_dp, 55.8920150023826992_dp, 55.8248196936552006_dp, 55.7457928283699999_dp, &
+         & 55.6541129134717991_dp, 55.5491017393819035_dp, 55.4302516842217017_dp, 55.2972490564372023_dp, &
+         & 55.1499923129904985_dp, 54.9886041935885004_dp, 54.8134371171278971_dp, 54.6250715744319990_dp, &
+         & 54.4243076807513972_dp, 54.2121504666194980_dp, 53.9897898269863035_dp, 53.7585762675747034_dp, &
+         & 53.5199936599844008_dp, 53.2756301508587029_dp, 53.0271482030912011_dp, 52.7762545353984009_dp, &
+         & 52.5246705298580991_dp, 52.2741035396946003_dp, 52.0262194694897033_dp, 51.7826170054267010_dp, &
+         & 51.5448039101148012_dp, 51.3141758228998981_dp, 51.0919979882717996_dp, 50.8793902576560981_dp, &
+         & 50.6773155820650985_dp, 50.4865720603784993_dp, 50.3077884616936970_dp, 50.1414230256321005_dp, &
+         & 49.9877652742039018_dp, 49.8469405415519020_dp, 49.7189169325443032_dp, 49.6035144428120987_dp, &
+         & 49.5004159976093021_dp, 49.4091801850887009_dp, 49.3292554661908014_dp, 49.2599956372920005_dp, &
+         & 49.2006763046616982_dp, 49.1505121046795992_dp, 49.1086743743133027_dp, 49.0743089462971014_dp, &
+         & 49.0465537163880967_dp, 49.0245556093938006_dp, 49.0074865594000997_dp, 48.9945581203919005_dp, &
+         & 48.9850343382435014_dp, 48.9782425450885981_dp, 48.9735817826457023_dp, 48.9705286214140969_dp, &
+         & 48.9686402159466994_dp, 48.9675545198308981_dp, 48.9669876739656971_dp, 48.9667286740630985_dp, &
+         & 48.9666315137167985_dp, 48.9666050836956970_dp, 48.9666011826780974_dp, 48.9666008382925000_dp, &
+         & 48.9665940902261028_dp, 48.9665483710743032_dp, 48.9663803024944002_dp, 48.9659322922803000_dp, &
+         & 48.9649518273707969_dp, 48.9630740986417976_dp, 48.9598086464716999_dp, 48.9545306298990965_dp, &
+         & 48.9464772223694027_dp, 48.9347495217733979_dp, 48.9183202290023971_dp, 48.8960471947199977_dp, &
+         & 48.8666927563648983_dp, 48.8289485862874031_dp, 48.7814655499552998_dp, 48.7228878367267981_dp, &
+         & 48.6518903855061993_dp, 48.5672183989027033_dp, 48.4677275415413007_dp, 48.3524232729212002_dp, &
+         & 48.2204976953723019_dp, 48.0713623235035001_dp, 47.9046753168501027_dp, 47.7203619645904027_dp, &
+         & 47.5186275565614977_dp, 47.2999621860893029_dp, 47.0651374587959026_dp, 46.8151954717411982_dp, &
+         & 46.5514307310575006_dp, 46.2753658696493986_dp, 45.9887221185938984_dp, 45.6933855141409992_dp, &
+         & 45.3913698349059018_dp, 45.0847772968496017_dp, 44.7757580943155986_dp, 44.4664699411751982_dp, &
+         & 44.1590387976569971_dp, 43.8555219289296971_dp, 43.5578743128886003_dp, 43.2679192038511999_dp, &
+         & 42.9873233940956965_dp, 42.7175774351963966_dp, 42.4599808236927032_dp, 42.2156319486585971_dp, &
+         & 41.9854224561048994_dp, 41.7700356071868981_dp, 41.5699481842358978_dp, 41.3854355155627971_dp, &
+         & 41.2165792305610026_dp, 41.0632774064474972_dp, 40.9252568160037029_dp, 40.8020870245958989_dp, &
+         & 40.6931961105412014_dp, 40.5978877940334968_dp, 40.5153597566698025_dp, 40.4447229176468994_dp, &
+         & 40.3850214063706972_dp, 40.3352529376156994_dp, 40.2943892581664969_dp, 40.2613962971430013_dp, &
+         & 40.2352536203162003_dp, 40.2149727660088985_dp, 40.1996140307082968_dp, 40.1883012796686998_dp, &
+         & 40.1802343839366998_dp, 40.1746989314433023_dp, 40.1710729256448005_dp, 40.1688302686653032_dp, &
+         & 40.1675409235650989_dp, 40.1668677576112003_dp, 40.1665601798748000_dp, 40.1664447964179985_dp, &
+         & 40.1664134092796985_dp, 40.1664087766023030_dp, 40.1664084050042973_dp, 40.1664015471356990_dp, &
+         & 40.1663550840609034_dp, 40.1661842807872986_dp, 40.1657289812361000_dp, 40.1647325655784968_dp, &
+         & 40.1628242961123973_dp, 40.1595057548082011_dp, 40.1541419897829996_dp, 40.1459578884018029_dp, &
+         & 40.1340401793392019_dp, 40.1173453317213031_dp, 40.0947134632279969_dp, 40.0648881884338977_dp, &
+         & 40.0265421333399019_dp, 39.9783076146680969_dp, 39.9188117396845996_dp, 39.8467149351264993_dp, &
+         & 39.7607516777113972_dp, 39.6597719927948020_dp, 39.5427821332528993_dp, 39.4089827686510006_dp, &
+         & 39.2578030232732971_dp, 39.0889288124941032_dp, 38.9023241430005982_dp, 38.6982443549153032_dp, &
+         & 38.4772406722062001_dp, 38.2401558603767029_dp, 37.9881112286417988_dp, 37.7224856177025032_dp, &
+         & 37.4448873497262014_dp, 37.1571203625250988_dp, 36.8611458997057966_dp, 36.5590411928299019_dp, &
+         & 36.2529565704596024_dp, 35.9450723834561998_dp, 35.6375570594108027_dp, 35.3325274926605033_dp, &
+         & 35.0320128310945975_dp, 34.7379225266536977_dp, 34.4520192720734997_dp, 34.1758971670259015_dp, &
+         & 33.9109651722585994_dp, 33.6584356566800977_dp, 33.4193176499252971_dp, 33.1944142972760972_dp, &
+         & 32.9843239729402029_dp, 32.7894445260409029_dp, 32.6099801893260022_dp, 32.4459507523531983_dp, &
+         & 32.2972026725321015_dp, 32.1634218589529013_dp, 32.0441479107081975_dp, 31.9387896221530987_dp, &
+         & 31.8466415827377993_dp, 31.7669016998593996_dp, 31.6986894611185015_dp, 31.6410647292427001_dp, &
+         & 31.5930468311339006_dp, 31.5536336650751998_dp, 31.5218205109378999_dp, 31.4966181916686985_dp, &
+         & 31.4770702051476015_dp, 31.4622684282802005_dp, 31.4513669939636991_dp, 31.4435939593235005_dp, &
+         & 31.4382604219704014_dp, 31.4347667999108999_dp, 31.4326060684015012_dp, 31.4313638400848987_dp, &
+         & 31.4307152784949011_dp, 31.4304189438731996_dp, 31.4303077782873999_dp, 31.4302775385300990_dp, &
+         & 31.4302730752045001_dp, 31.4302727309498984_dp, 31.4302665492418001_dp, 31.4302246672591004_dp, &
+         & 31.4300707046413983_dp, 31.4296602966877003_dp, 31.4287621281950003_dp, 31.4270420253075997_dp, &
+         & 31.4240507432717990_dp, 31.4192160129438989_dp, 31.4118393216919003_dp, 31.4010978026077012_dp, &
+         & 31.3860514864523985_dp, 31.3656560300479015_dp, 31.3387808703605018_dp, 31.3042325646337005_dp, &
+         & 31.2607828660340985_dp, 31.2072008576095001_dp, 31.1422882355734991_dp, 31.0649166109007986_dp, &
+         & 30.9740655042900990_dp, 30.8688595638702985_dp, 30.7486034572064995_dp, 30.6128128953968002_dp, &
+         & 30.4612403471247006_dp, 30.2938941953365983_dp, 30.1110503693978018_dp, 29.9132558319165014_dp, &
+         & 29.7013236852824001_dp, 29.4763200583278007_dp, 29.2395433099312001_dp, 28.9924964209670009_dp, &
+         & 28.7368537235086983_dp, 28.4744233282202011_dp, 28.2071067530138002_dp, 27.9368573247618990_dp, &
+         & 27.6656389167643013_dp, 27.3953864938692995_dp, 27.1279697645538995_dp, 26.8651609927281001_dp, &
+         & 26.6086077196119994_dp, 26.3598108152302011_dp, 26.1201079527042985_dp, 25.8906623087581984_dp, &
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+         & 1.0171790644249601_dp, 1.0158205276128001_dp, 1.0147460451530701_dp, 1.0139136896337699_dp, &
+         & 1.0132840410895301_dp, 1.0128206447983801_dp, 1.0124904040124700_dp, 1.0122638900117500_dp, &
+         & 1.0121155536258100_dp, 1.0120238252983600_dp, 1.0119710947217799_dp, 1.0119435657985401_dp, &
+         & 1.0119309878777700_dp, 1.0119262695093900_dp, 1.0119249860029400_dp, 1.0119247965602201_dp, &
+         & 1.0119247820076300_dp, 1.0119245214556500_dp, 1.0119227561799100_dp, 1.0119162668740100_dp, &
+         & 1.0118989690317399_dp, 1.0118611144701899_dp, 1.0117886236018701_dp, 1.0116625774693699_dp, &
+         & 1.0114588965940601_dp, 1.0111482312670801_dp, 1.0106960846425299_dp, 1.0100631853863400_dp, &
+         & 1.0092061201546700_dp, 1.0080782273535900_dp, 1.0066307421970100_dp, 1.0048141690972401_dp, &
+         & 1.0025798414286000_dp, 0.9998816117874010_dp, 0.9966775996797780_dp, 0.9929319102004260_dp, &
+         & 0.9886162290262350_dp, 0.9837111980829431_dp, 0.9782074840865180_dp, 0.9721064692889670_dp, &
+         & 0.9654205192555450_dp, 0.9581728139552300_dp, 0.9503967621695890_dp, 0.9421350508061860_dp, &
+         & 0.9334384058200200_dp, 0.9243641567691940_dp, 0.9149747009452160_dp, 0.9053359559824510_dp, &
+         & 0.8955158742355490_dp, 0.8855830716532510_dp, 0.8756056023644589_dp, 0.8656498911539360_dp, &
+         & 0.8557798216651520_dp, 0.8460559693222440_dp, 0.8365349641535860_dp, 0.8272689686567890_dp, &
+         & 0.8183052580025461_dp, 0.8096858928097530_dp, 0.8014474774222220_dp, 0.7936209985517100_dp, &
+         & 0.7862317402194280_dp, 0.7792992712928640_dp, 0.7728375018559890_dp, 0.7668548044328820_dp, &
+         & 0.7613541958987400_dp, 0.7563335758468810_dp, 0.7517860172448820_dp, 0.7477001053505750_dp, &
+         & 0.7440603209823710_dp, 0.7408474642492781_dp, 0.7380391146635570_dp, 0.7356101231265550_dp, &
+         & 0.7335331305763760_dp, 0.7317791071340520_dp, 0.7303179044323610_dp, 0.7291188125443850_dp, &
+         & 0.7281511116526220_dp, 0.7273846074403350_dp, 0.7267901382776000_dp, 0.7263400417460130_dp, &
+         & 0.7260085680113240_dp, 0.7257722281004670_dp, 0.7256100663143390_dp, 0.7255038478107000_dp, &
+         & 0.7254381547705510_dp, 0.7254003874170820_dp, 0.7253806693450000_dp, 0.7253716599698951_dp, &
+         & 0.7253682802381930_dp, 0.7253673608688440_dp, 0.7253672251718370_dp, 0.7253672146683240_dp, &
+         & 0.7253670255760910_dp, 0.7253657444484460_dp, 0.7253610348894740_dp, 0.7253484809477090_dp, &
+         & 0.7253210070208100_dp, 0.7252683914229719_dp, 0.7251768932659030_dp, 0.7250290100861390_dp, &
+         & 0.7248033810600770_dp, 0.7244748475939961_dp, 0.7240146794266740_dp, 0.7233909700047499_dp, &
+         & 0.7225691996758100_dp, 0.7215129591536210_dp, 0.7201848188194190_dp, 0.7185473219555260_dp, &
+         & 0.7165640723549560_dp, 0.7142008794710790_dp, 0.7114269180481120_dp, 0.7082158547476500_dp, &
+         & 0.7045468923514590_dp, 0.7004056832110450_dp, 0.6957850679893840_dp, 0.6906856033179660_dp, &
+         & 0.6851158523147231_dp, 0.6790924241913960_dp, 0.6726397624020490_dp, 0.6657896938305750_dp, &
+         & 0.6585807633098359_dp, 0.6510573874079740_dp, 0.6432688682621970_dp, 0.6352683119523380_dp, &
+         & 0.6271114964628030_dp, 0.6188557319599820_dp, 0.6105587514310710_dp, 0.6022776633857210_dp, &
+         & 0.5940679910783120_dp, 0.5859828153139400_dp, 0.5780720309889630_dp, 0.5703817215545470_dp, &
+         & 0.5629536508496640_dp, 0.5558248683076170_dp, 0.5490274213134680_dp, 0.5425881672827160_dp, &
+         & 0.5365286775951790_dp, 0.5308652256010480_dp, 0.5256088513061460_dp, 0.5207654958780590_dp, &
+         & 0.5163361996780370_dp, 0.5123173580360000_dp, 0.5087010293936630_dp, 0.5054752906999340_dp, &
+         & 0.5026246350276220_dp, 0.5001304062639920_dp, 0.4979712654020360_dp, 0.4961236824226420_dp, &
+         & 0.4945624470300560_dp, 0.4932611906286790_dp, 0.4921929109709850_dp, 0.4913304899562120_dp, &
+         & 0.4906471942202660_dp, 0.4901171475417810_dp, 0.4897157638058970_dp, 0.4894201294120320_dp, &
+         & 0.4892093246506800_dp, 0.4890646747439010_dp, 0.4889699229356450_dp, 0.4889113201834830_dp, &
+         & 0.4888776285539720_dp, 0.4888600382356930_dp, 0.4888520010165820_dp, 0.4888489859689290_dp, &
+         & 0.4888481658019900_dp, 0.4888480447470370_dp, 0.4888480353009330_dp, 0.4888478642632420_dp, &
+         & 0.4888467054575330_dp, 0.4888424455631790_dp, 0.4888310902334680_dp, 0.4888062392939640_dp, &
+         & 0.4887586464723770_dp, 0.4886758812186760_dp, 0.4885421080460900_dp, 0.4883379963526980_dp, &
+         & 0.4880407708161480_dp, 0.4876244091087260_dp, 0.4870599897731790_dp, 0.4863161885701710_dp, &
+         & 0.4853599164446290_dp, 0.4841570865328250_dp, 0.4826734915185820_dp, 0.4808757664390270_dp, &
+         & 0.4787324061444590_dp, 0.4762148015305460_dp, 0.4732982549238680_dp, 0.4699629331294730_dp, &
+         & 0.4661947170536680_dp, 0.4619859097285970_dp, 0.4573357699751450_dp, 0.4522508465671890_dp, &
+         & 0.4467450970666180_dp, 0.4408397857549030_dp, 0.4345631654623220_dp, 0.4279499577816210_dp, &
+         & 0.4210406544677740_dp, 0.4138806693080640_dp, 0.4065193741887900_dp, 0.3990090555070650_dp, &
+         & 0.3914038276689240_dp, 0.3837585394462910_dp, 0.3761277067140370_dp, 0.3685645018007830_dp, &
+         & 0.3611198255695950_dp, 0.3538414835735540_dp, 0.3467734823757950_dp, 0.3399554565696480_dp, &
+         & 0.3334222314117240_dp, 0.3272035205674300_dp, 0.3213237535776090_dp, 0.3158020235774190_dp, &
+         & 0.3106521427596010_dp, 0.3058827911812400_dp, 0.3014977437625180_dp, 0.2974961606033230_dp, &
+         & 0.2938729268620150_dp, 0.2906190301511560_dp, 0.2877219654328510_dp, 0.2851661594611840_dp, &
+         & 0.2829334086750560_dp, 0.2810033258969900_dp, 0.2793537921248160_dp, 0.2779614100660270_dp, &
+         & 0.2768019558861000_dp, 0.2758508250056550_dp, 0.2750834668221810_dp, 0.2744758021152690_dp, &
+         & 0.2740046158042450_dp, 0.2736479168445030_dp, 0.2733852565343540_dp, 0.2731979964828070_dp, &
+         & 0.2730695180356260_dp, 0.2729853660934650_dp, 0.2729333219465030_dp, 0.2729034019047420_dp, &
+         & 0.2728877809972870_dp, 0.2728806436872590_dp, 0.2728779662377430_dp, 0.2728772379067190_dp, &
+         & 0.2728771304065920_dp, 0.2728771219468200_dp, 0.2728769678537550_dp, 0.2728759238509820_dp, &
+         & 0.2728720859920410_dp, 0.2728618557129040_dp, 0.2728394672191570_dp, 0.2727965914259300_dp, &
+         & 0.2727220327250560_dp, 0.2726015331998110_dp, 0.2724176969688020_dp, 0.2721500450248730_dp, &
+         & 0.2717752081138730_dp, 0.2712672617457270_dp, 0.2705982032421940_dp, 0.2697385657601930_dp, &
+         & 0.2686581585314020_dp, 0.2673269162858320_dp, 0.2657158342581240_dp, 0.2637979587073150_dp, &
+         & 0.2615493970078760_dp, 0.2589503066405210_dp, 0.2559858193807260_dp, 0.2526468561454250_dp, &
+         & 0.2489307896877620_dp, 0.2448419168213650_dp, 0.2403917090884060_dp, 0.2355988205031710_dp, &
+         & 0.2304888427142370_dp, 0.2250938109391710_dp, 0.2194514774748480_dp, 0.2136043825066880_dp, &
+         & 0.2075987633353190_dp, 0.2014833520675770_dp, 0.1953081175020300_dp, 0.1891230088537700_dp, &
+         & 0.1829767569218180_dp, 0.1769157824920310_dp, 0.1709832527410670_dp, 0.1652183150312330_dp, &
+         & 0.1596555248497040_dp, 0.1543244719312470_dp, 0.1492495969295580_dp, 0.1444501812844050_dp, &
+         & 0.1399404857630130_dp, 0.1357300087793830_dp, 0.1318238339430520_dp, 0.1282230370452950_dp, &
+         & 0.1249251253892610_dp, 0.1219244864479730_dp, 0.1192128277058730_dp, 0.1167795946528760_dp, &
+         & 0.1146123587921440_dp, 0.1126971718586990_dp, 0.1110188860154790_dp, 0.1095614424893720_dp, &
+         & 0.1083081329031400_dp, 0.1072418384689090_dp, 0.1063452523089200_dp, 0.1056010895617230_dp, &
+         & 0.1049922887656150_dp, 0.1045022064490480_dp, 0.1041148050849540_dp, 0.1038148327669790_dp, &
+         & 0.1035879913181930_dp, 0.1034210882091240_dp, 0.1033021667710160_dp, 0.1032206088341780_dp, &
+         & 0.1031672041386710_dp, 0.1031341816435190_dp, 0.1031151991329440_dp, 0.1031052891740170_dp, &
+         & 0.1031007613740300_dp, 0.1030990628629310_dp, 0.1030986008288930_dp, 0.1030985326337160_dp, &
+         & 0.1030985272195440_dp, 0.1030984279980130_dp, 0.1030977557587890_dp, 0.1030952845562330_dp, &
+         & 0.1030886973906890_dp, 0.1030742823171100_dp, 0.1030466787046790_dp, 0.1029986851105490_dp, &
+         & 0.1029211397271300_dp, 0.1028028837100760_dp, 0.1026308167155820_dp, 0.1023900524434250_dp, &
+         & 0.1020641796598700_dp, 0.1016356308503320_dp, 0.1010861561983350_dp, 0.1003973950019630_dp, &
+         & 0.0995515300853285_dp, 0.0985320036027844_dp, 0.0973242654148265_dp, 0.0959165186624205_dp, &
+         & 0.0943004221003036_dp, 0.0924717060202696_dp, 0.0904306589478168_dp, 0.0881824462605465_dp, &
+         & 0.0857372296379140_dp, 0.0831100675483967_dp, 0.0803205910691176_dp, 0.0773924650222355_dp, &
+         & 0.0743526601980378_dp, 0.0712305766909012_dp, 0.0680570695671037_dp, 0.0648634349602162_dp, &
+         & 0.0616804164221207_dp, 0.0585372876959696_dp, 0.0554610594629210_dp, 0.0524758452114327_dp, &
+         & 0.0496024068860805_dp, 0.0468578862310807_dp, 0.0442557142935556_dp, 0.0418056804186762_dp, &
+         & 0.0395141338558034_dp, 0.0373842861842064_dp, 0.0354165813361931_dp, 0.0336091017974027_dp, &
+         & 0.0319579837599875_dp, 0.0304578193789453_dp, 0.0291020297764817_dp, 0.0278831975452292_dp, &
+         & 0.0267933521994266_dp, 0.0258242063499736_dp, 0.0249673441205829_dp, 0.0242143660975742_dp, &
+         & 0.0235569967012665_dp, 0.0229871604359317_dp, 0.0224970334236332_dp, 0.0220790763215390_dp, &
+         & 0.0217260543178668_dp, 0.0214310493585330_dp, 0.0211874689974110_dp, 0.0209890552817029_dp, &
+         & 0.0208298959625566_dp, 0.0207044391750060_dp, 0.0206075116601667_dp, 0.0205343396675701_dp, &
+         & 0.0204805709158364_dp, 0.0204422954333054_dp, 0.0204160627743448_dp, 0.0203988930284282_dp, &
+         & 0.0203882792136696_dp, 0.0203821790520067_dp, 0.0203789947190529_dp, 0.0203775398854589_dp, &
+         & 0.0203769941456713_dp, 0.0203768456929652_dp, 0.0203768237817172_dp, 0.0203768220261935_dp, &
+         & 0.0203767896531772_dp, 0.0203765703222913_dp, 0.0203757640537958_dp, 0.0203736149540674_dp, &
+         & 0.0203689122905359_dp, 0.0203599083827655_dp, 0.0203442575678991_dp, 0.0203189806275859_dp, &
+         & 0.0202804591536179_dp, 0.0202244642550298_dp, 0.0201462236056713_dp, 0.0200405299261064_dp, &
+         & 0.0199018924297079_dp, 0.0197247304435066_dp, 0.0195036053379098_dp, 0.0192334831976808_dp, &
+         & 0.0189100166192944_dp, 0.0185298300504328_dp, 0.0180907897293991_dp, 0.0175922371243473_dp, &
+         & 0.0170351643914870_dp, 0.0164223122594862_dp, 0.0157581751965665_dp, 0.0150489056811196_dp, &
+         & 0.0143021183144825_dp, 0.0135266042264561_dp, 0.0127319751265347_dp, 0.0119282628868618_dp, &
+         & 0.0111255038274081_dp, 0.0103333370708540_dp, 0.0095606442847469_dp, 0.0088152543961471_dp, &
+         & 0.0081037310508734_dp, 0.0074312518922568_dp, 0.0068015776568799_dp, 0.0062170985863545_dp, &
+         & 0.0056789398619870_dp, 0.0051871084753827_dp, 0.0047406682175435_dp, 0.0043379317141401_dp, &
+         & 0.0039766559828749_dp, 0.0036542245079687_dp, 0.0033678009528728_dp, 0.0031144494281037_dp, &
+         & 0.0028912276263355_dp, 0.0026952633031385_dp, 0.0025238189757317_dp, 0.0023743408633052_dp, &
+         & 0.0022444850771208_dp, 0.0021321197023667_dp, 0.0020353102092088_dp, 0.0019522998797328_dp, &
+         & 0.0018814939087051_dp, 0.0018214490581343_dp, 0.0017708656296023_dp, 0.0017285777202929_dp, &
+         & 0.0016935401318534_dp, 0.0016648131346670_dp, 0.0016415476127491_dp, 0.0016229727173425_dp, &
+         & 0.0016083869376189_dp, 0.0015971523917742_dp, 0.0015886915764582_dp, 0.0015824857235032_dp, &
+         & 0.0015780740521549_dp, 0.0015750533692014_dp, 0.0015730775786054_dp, 0.0015718567236789_dp, &
+         & 0.0015711552323552_dp, 0.0015707891007111_dp, 0.0015706218372884_dp, 0.0015705590950716_dp, &
+         & 0.0015705420280625_dp, 0.0015705395090180_dp, 0.0015705393054262_dp, 0.0015705355290265_dp, &
+         & 0.0015705099435692_dp, 0.0015704158915568_dp, 0.0015701652054219_dp, 0.0015696166965284_dp, &
+         & 0.0015685666643535_dp, 0.0015667419909633_dp, 0.0015637964447066_dp, 0.0015593108823779_dp, &
+         & 0.0015527980968955_dp, 0.0015437130839402_dp, 0.0015314694580155_dp, 0.0015154625673475_dp, &
+         & 0.0014950994300236_dp, 0.0014698348045457_dp, 0.0014392114254278_dp, 0.0014029007838303_dp, &
+         & 0.0013607392915134_dp, 0.0013127541401303_dp, 0.0012591746855222_dp, 0.0012004291138794_dp, &
+         & 0.0011371311936656_dp, 0.0010700647729536_dp, 0.0010001704399656_dp, 0.0009285285785907_dp, &
+         & 0.0008563219446884_dp, 0.0007847608482550_dp, 0.0007149737876944_dp, 0.0006478987144973_dp, &
+         & 0.0005842287807383_dp, 0.0005244434698639_dp, 0.0004688935406634_dp, 0.0004178554899283_dp, &
+         & 0.0003714910209638_dp, 0.0003297437016627_dp, 0.0002922936034437_dp, 0.0002586648767391_dp, &
+         & 0.0002284347011710_dp, 0.0002013616325556_dp, 0.0001772907484181_dp, 0.0001558965586455_dp, &
+         & 1.3651014092630500e-04_dp, 1.1824518601599700e-04_dp, 1.0038662295386300e-04_dp, 8.2783662641361402e-05_dp, &
+         & 6.6023209825516501e-05_dp, 5.1397028165922600e-05_dp, 4.0702797114988698e-05_dp, 3.4573964718731497e-05_dp, &
+         & 3.0590634985117001e-05_dp, 2.6950927228597300e-05_dp, 2.3609849186812001e-05_dp, 2.0718894923277299e-05_dp, &
+         & 1.8147256021450199e-05_dp, 1.5755169513909099e-05_dp, 1.3530573575337700e-05_dp, 1.1507745121264199e-05_dp, &
+         & 9.7031702566141592e-06_dp, 8.1138599057339905e-06_dp, 6.7261867329193600e-06_dp, 5.5168475157074698e-06_dp, &
+         & 4.4585785445860901e-06_dp, 3.5306753787267600e-06_dp, 2.7234151147581500e-06_dp, 2.0344164894936499e-06_dp, &
+         & 1.4626626949620901e-06_dp, 1.0044527485320000e-06_dp, 6.5201955834481904e-07_dp, 3.9391367323560200e-07_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 0.0000000000000000_dp &
+         &]
+      case (60)
+         out = [&
+         & 60.0000000000000000_dp, 59.9999999399730015_dp, 59.9999980838187028_dp, 59.9999855080792983_dp, &
+         & 59.9999392780198022_dp, 59.9998160432626975_dp, 59.9995463348752978_dp, 59.9990297645438986_dp, &
+         & 59.9981312988812974_dp, 59.9966787488110995_dp, 59.9944615765574980_dp, 59.9912310825064026_dp, &
+         & 59.9867019927927032_dp, 59.9805554277683015_dp, 59.9724431933127988_dp, 59.9619933029072030_dp, &
+         & 59.9488166096631971_dp, 59.9325144046440030_dp, 59.9126868205389016_dp, 59.8889418669291018_dp, &
+         & 59.8609049131136004_dp, 59.8282284244390965_dp, 59.7906017460647021_dp, 59.7477607126017034_dp, &
+         & 59.6994968429388990_dp, 59.6456658584793971_dp, 59.5861952435711970_dp, 59.5210905543155988_dp, &
+         & 59.4504401821819002_dp, 59.3744182975757013_dp, 59.2932857396573993_dp, 59.2073886834651972_dp, &
+         & 59.1171550014552025_dp, 59.0230883381629994_dp, 58.9257600252416012_dp, 58.8257990695851021_dp, &
+         & 58.7238805396044015_dp, 58.6207127456365029_dp, 58.5170236544255999_dp, 58.4135469925736999_dp, &
+         & 58.3110084812091003_dp, 58.2101126081218965_dp, 58.1115302903706024_dp, 58.0158877167350013_dp, &
+         & 57.9237565919419026_dp, 57.8356459388061026_dp, 57.7519955542642975_dp, 57.6731711630347021_dp, &
+         & 57.5994612691168015_dp, 57.5310756701638013_dp, 57.4681455717714016_dp, 57.4107252163607029_dp, &
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+         & 0.0823516594362559_dp, 0.0823505407509870_dp, 0.0823502364414068_dp, 0.0823501915268352_dp, &
+         & 0.0823501879608983_dp, 0.0823501226111745_dp, 0.0823496798549854_dp, 0.0823480522460045_dp, &
+         & 0.0823437137065923_dp, 0.0823342192699670_dp, 0.0823160376257448_dp, 0.0822844237887423_dp, &
+         & 0.0822333386798348_dp, 0.0821554219081051_dp, 0.0820420231759087_dp, 0.0818832967304886_dp, &
+         & 0.0816683617691751_dp, 0.0813855296511150_dp, 0.0810225962745932_dp, 0.0805671947397215_dp, &
+         & 0.0800071998560412_dp, 0.0793311721006162_dp, 0.0785288246950131_dp, 0.0775914938626769_dp, &
+         & 0.0765125894106333_dp, 0.0752880010427930_dp, 0.0739164355598234_dp, 0.0723996617799259_dp, &
+         & 0.0707426436275114_dp, 0.0689535474768519_dp, 0.0670436170020707_dp, 0.0650269169271311_dp, &
+         & 0.0629199552869082_dp, 0.0607412017592708_dp, 0.0585105264668897_dp, 0.0562485893260956_dp, &
+         & 0.0539762139485944_dp, 0.0517137811231692_dp, 0.0494806746074516_dp, 0.0472948052715552_dp, &
+         & 0.0451722312887171_dp, 0.0431125566087331_dp, 0.0411581398893333_dp, 0.0393015364092975_dp, &
+         & 0.0375497257779784_dp, 0.0359074715944772_dp, 0.0343774939840884_dp, 0.0329606847735491_dp, &
+         & 0.0316563471648834_dp, 0.0304624437621683_dp, 0.0293758395994459_dp, 0.0283925299993371_dp, &
+         & 0.0275078463041964_dp, 0.0267166354975643_dp, 0.0260134122956472_dp, 0.0253924843450193_dp, &
+         & 0.0248480526893715_dp, 0.0243742906908793_dp, 0.0239654051639491_dp, 0.0236156836717925_dp, &
+         & 0.0233195318172790_dp, 0.0230715039995388_dp, 0.0228663305645753_dp, 0.0226989436081482_dp, &
+         & 0.0225645029429060_dp, 0.0224584229673042_dp, 0.0223764004211446_dp, 0.0223144423283372_dp, &
+         & 0.0222688928580723_dp, 0.0222364574201208_dp, 0.0222142220784889_dp, 0.0221996663350623_dp, &
+         & 0.0221906675004178_dp, 0.0221854952117653_dp, 0.0221827951438911_dp, 0.0221815615365841_dp, &
+         & 0.0221810987802016_dp, 0.0221809729004008_dp, 0.0221809543208380_dp, 0.0221809528322652_dp, &
+         & 0.0221809253822229_dp, 0.0221807394047673_dp, 0.0221800557422256_dp, 0.0221782334274394_dp, &
+         & 0.0221742457347958_dp, 0.0221666103539349_dp, 0.0221533371422353_dp, 0.0221318969329900_dp, &
+         & 0.0220992148638004_dp, 0.0220516915557312_dp, 0.0219852551084259_dp, 0.0218954461625032_dp, &
+         & 0.0217775371106015_dp, 0.0216266848452022_dp, 0.0214381142068589_dp, 0.0212073266218837_dp, &
+         & 0.0209303254747510_dp, 0.0206038468331897_dp, 0.0202255816063470_dp, 0.0197943734898374_dp, &
+         & 0.0193103765478497_dp, 0.0187751573315964_dp, 0.0181917292029681_dp, 0.0175645109719227_dp, &
+         & 0.0168992077503489_dp, 0.0162026185167150_dp, 0.0154823815172875_dp, 0.0147466744635736_dp, &
+         & 0.0140038907254194_dp, 0.0132623147610360_dp, 0.0125298195639232_dp, 0.0118136060088361_dp, &
+         & 0.0111199990685620_dp, 0.0104543096698322_dp, 0.0098207643340089_dp, 0.0092224985889544_dp, &
+         & 0.0086616051782826_dp, 0.0081392248084100_dp, 0.0076556657282509_dp, 0.0072105386951975_dp, &
+         & 0.0068028954808597_dp, 0.0064313615178051_dp, 0.0060942560800896_dp, 0.0057896960939132_dp, &
+         & 0.0055156819887543_dp, 0.0052701657703906_dp, 0.0050511026970952_dp, 0.0048564886302387_dp, &
+         & 0.0046843854207310_dp, 0.0045329367008335_dp, 0.0044003762864904_dp, 0.0042850311424871_dp, &
+         & 0.0041853205776761_dp, 0.0040997530590303_dp, 0.0040269217743614_dp, 0.0039654998418186_dp, &
+         & 0.0039142358565556_dp, 0.0038719502751832_dp, 0.0038375329633240_dp, 0.0038099420657645_dp, &
+         & 0.0037882042022090_dp, 0.0037714158468844_dp, 0.0037587456202886_dp, 0.0037494371153741_dp, &
+         & 0.0037428118023044_dp, 0.0037382715147345_dp, 0.0037353000196561_dp, 0.0037334632124413_dp, &
+         & 0.0037324075575285_dp, 0.0037318565053113_dp, 0.0037316047466547_dp, 0.0037315103067783_dp, &
+         & 0.0037314846171768_dp, 0.0037314808254649_dp, 0.0037314805188018_dp, 0.0037314748283208_dp, &
+         & 0.0037314362746201_dp, 0.0037312945500929_dp, 0.0037309167871200_dp, 0.0037300901767097_dp, &
+         & 0.0037285075579518_dp, 0.0037257567440605_dp, 0.0037213143822541_dp, 0.0037145451694300_dp, &
+         & 0.0037047072369276_dp, 0.0036909644432299_dp, 0.0036724061361824_dp, 0.0036480746356204_dp, &
+         & 0.0036170002221994_dp, 0.0035782428004936_dp, 0.0035309386673887_dp, 0.0034743500289593_dp, &
+         & 0.0034079141721435_dp, 0.0033312886430465_dp, 0.0032443885423561_dp, 0.0031474122316553_dp, &
+         & 0.0030408524087377_dp, 0.0029254906316893_dp, 0.0028023748370529_dp, 0.0026727810176936_dp, &
+         & 0.0025381617601354_dp, 0.0024000855614332_dp, 0.0022601715723525_dp, 0.0021200245678301_dp, &
+         & 0.0019811745539755_dp, 0.0018450246007618_dp, 0.0017128094138386_dp, 0.0015855660046782_dp, &
+         & 0.0014641167400455_dp, 0.0013490641524783_dp, 0.0012407962256802_dp, 0.0011395004414751_dp, &
+         & 0.0010451846642283_dp, 0.0009577028981411_dp, 0.0008771280697388_dp, 0.0008023695049388_dp, &
+         & 0.0007331048889512_dp, 0.0006694444828810_dp, 0.0006106006366409_dp, 0.0005561041675861_dp, &
+         & 0.0005057640259025_dp, 0.0004587577692945_dp, 0.0004148605483039_dp, 0.0003737881283641_dp, &
+         & 0.0003353250303846_dp, 0.0002993151400261_dp, 0.0002655918470680_dp, 0.0002342683128731_dp, &
+         & 0.0002052294655925_dp, 0.0001782692914603_dp, 0.0001534480839638_dp, 0.0001307542894580_dp, &
+         & 1.1017052753459200e-04_dp, 9.1670262648335706e-05_dp, 7.5211109326289702e-05_dp, 6.0732404683960801e-05_dp, &
+         & 4.8157905098378298e-05_dp, 3.7396100985631599e-05_dp, 2.8339790709708298e-05_dp, 2.0866714784517599e-05_dp, &
+         & 1.4841116190211800e-05_dp, 1.0115901176277501e-05_dp, 6.5351897191590103e-06_dp, 3.9371354461081898e-06_dp, &
+         &  2.1569626227346800e-06_dp, 1.0302281978624699e-06_dp, 3.9638901938587899e-07_dp, -1.4210854715202001e-14_dp, &
+         & -7.1054273576010003e-15_dp &
+         &]
+      case (61)
+         out = [&
+         & 61.0000000000000000_dp, 60.9999999384494984_dp, 60.9999980351863016_dp, 60.9999851402765003_dp, &
+         & 60.9999377369043003_dp, 60.9998113744620980_dp, 60.9995348208851027_dp, 60.9990051399435984_dp, &
+         & 60.9980838708988031_dp, 60.9965944539754972_dp, 60.9943210067227994_dp, 60.9910085150426013_dp, &
+         & 60.9863644602183967_dp, 60.9800618615723025_dp, 60.9717436752977022_dp, 60.9610284552128974_dp, &
+         & 60.9475171518880003_dp, 60.9308009033291000_dp, 60.9104696528749017_dp, 60.8861214169316014_dp, &
+         & 60.8573720146666020_dp, 60.8238650613650975_dp, 60.7852820144980015_dp, 60.7413520451100979_dp, &
+         & 60.6918614867950978_dp, 60.6366625920843987_dp, 60.5756813053648031_dp, 60.5089237479635003_dp, &
+         & 60.4364811111043991_dp, 60.3585326719389030_dp, 60.2753466908897977_dp, 60.1872790162584010_dp, &
+         & 60.0947693119090971_dp, 59.9983349297008033_dp, 59.8985625611286991_dp, 59.7960979117999969_dp, &
+         & 59.6916337374736017_dp, 59.5858966528233012_dp, 59.4796331682264992_dp, 59.3735954238109969_dp, &
+         & 59.2685270753577029_dp, 59.1651497480624968_dp, 59.0641504180913017_dp, 58.9661700155159991_dp, &
+         & 58.8717934724048035_dp, 58.7815413721901976_dp, 58.6958632949553021_dp, 58.6151329002175032_dp, &
+         & 58.5396447448600981_dp, 58.4696127985668994_dp, 58.4051705911647971_dp, 58.3463729040263033_dp, &
+         & 58.2931988994273027_dp, 58.2455565660094976_dp, 58.2032883441347977_dp, 58.1661777812165965_dp, &
+         & 58.1339570537886985_dp, 58.1063151802142031_dp, 58.0829067359683009_dp, 58.0633608730191000_dp, &
+         & 58.0472904368029035_dp, 58.0343009695669991_dp, 58.0239993883244978_dp, 58.0160021301279016_dp, &
+         & 58.0099425674488032_dp, 58.0054775124960003_dp, 58.0022926513799035_dp, 58.0001067768470975_dp, &
+         & 57.9986747212221019_dp, 57.9977889282679016_dp, 57.9972796426671025_dp, 57.9970137373241030_dp, &
+         & 57.9968922401537981_dp, 57.9968466619139988_dp, 57.9968342634846010_dp, 57.9968324335007992_dp, &
+         & 57.9968321934454991_dp, 57.9968266004455018_dp, 57.9967887070286992_dp, 57.9966494065407971_dp, &
+         & 57.9962780804404971_dp, 57.9954654314744005_dp, 57.9939090698117994_dp, 57.9912024134633981_dp, &
+         & 57.9868273874678977_dp, 57.9801513181257988_dp, 57.9704283189650980_dp, 57.9568053538108998_dp, &
+         & 57.9383330390072970_dp, 57.9139811116053025_dp, 57.8826583438705029_dp, 57.8432365282292977_dp, &
+         & 57.7945779929851966_dp, 57.7355659410129007_dp, 57.6651367358300035_dp, 57.5823130989608032_dp, &
+         & 57.4862370399648981_dp, 57.3762012311823995_dp, 57.2516774831800035_dp, 57.1123409968873972_dp, &
+         & 56.9580891855478981_dp, 56.7890540863807018_dp, 56.6056077147917023_dp, 56.4083601284047020_dp, &
+         & 56.1981504180673994_dp, 55.9760312676454035_dp, 55.7432480615760966_dp, 55.5012137209839977_dp, &
+         & 55.2514804961485027_dp, 54.9957098506416031_dp, 54.7356413869636000_dp, 54.4730615489774976_dp, &
+         & 54.2097726549717009_dp, 53.9475627083921978_dp, 53.6881764105491968_dp, 53.4332878376290026_dp, &
+         & 53.1844752980162028_dp, 52.9431989067208022_dp, 52.7107813683542972_dp, 52.4883923421781020_dp, &
+         & 52.2770365928044001_dp, 52.0775459451309999_dp, 51.8905748999919965_dp, 51.7165996535850994_dp, &
+         & 51.5559202067504998_dp, 51.4086652413794027_dp, 51.2747994632671009_dp, 51.1541331447590011_dp, &
+         & 51.0463336315836997_dp, 50.9509385973603983_dp, 50.8673708331103001_dp, 50.7949543484302026_dp, &
+         & 50.7329315388100994_dp, 50.6804811438114982_dp, 50.6367366875390985_dp, 50.6008050598817007_dp, &
+         & 50.5717848679708979_dp, 50.5487841654804981_dp, 50.5309371557645974_dp, 50.5174194659411029_dp, &
+         & 50.5074616048650995_dp, 50.5003602496980974_dp, 50.4954870537253981_dp, 50.4922947314002997_dp, &
+         & 50.4903202533881981_dp, 50.4891850717148998_dp, 50.4885923892350021_dp, 50.4883215842111994_dp, &
+         & 50.4882199953308017_dp, 50.4881923606385996_dp, 50.4881882818139971_dp, 50.4881879217314022_dp, &
+         & 50.4881808660905023_dp, 50.4881330630757006_dp, 50.4879573339874028_dp, 50.4874889036133965_dp, &
+         & 50.4864637493922004_dp, 50.4845004341689005_dp, 50.4810861428683992_dp, 50.4755675532705013_dp, &
+         & 50.4671470666272981_dp, 50.4548848032056014_dp, 50.4377066281032000_dp, 50.4144183108502020_dp, &
+         & 50.3837257361388993_dp, 50.3442608722453997_dp, 50.2946129710928034_dp, 50.2333642263104991_dp, &
+         & 50.1591288646264033_dp, 50.0705944078944967_dp, 49.9665636386936001_dp, 49.8459956551828967_dp, &
+         & 49.7080443345193999_dp, 49.5520925589546977_dp, 49.3777807069809995_dp, 49.1850281725754996_dp, &
+         & 48.9740470303057975_dp, 48.7453473761002982_dp, 48.4997342926346988_dp, 48.2382967621302967_dp, &
+         & 47.9623891387904990_dp, 47.6736059856875016_dp, 47.3737511945844005_dp, 47.0648023804946973_dp, &
+         & 46.7488716149707031_dp, 46.4281636529416986_dp, 46.1049329079165986_dp, 45.7814405060236993_dp, &
+         & 45.4599127597789021_dp, 45.1425023182561986_dp, 44.8312530659385970_dp, 44.5280695781068019_dp, &
+         & 44.2346916342867971_dp, 43.9526739869358991_dp, 43.6833713180678984_dp, 43.4279281162643969_dp, &
+         & 43.1872730789997021_dp, 42.9621175853402022_dp, 42.7529577778136982_dp, 42.5600798218504011_dp, &
+         & 42.3835679594370021_dp, 42.2233150264061976_dp, 42.0790351501594984_dp, 41.9502783805896016_dp, &
+         & 41.8364470287018975_dp, 41.7368134943082012_dp, 41.6505393570348019_dp, 41.5766954854958968_dp, &
+         & 41.5142828903126997_dp, 41.4622540107340996_dp, 41.4195340855384018_dp, 41.3850422207083994_dp, &
+         & 41.3577117334733018_dp, 41.3365093290902976_dp, 41.3204526573847986_dp, 41.3086258040329994_dp, &
+         & 41.3001922993321031_dp, 41.2944052758411999_dp, 41.2906144753434035_dp, 41.2882698929971994_dp, &
+         & 41.2869219487318020_dp, 41.2862181880940966_dp, 41.2858966312481996_dp, 41.2857760037213026_dp, &
+         & 41.2857431900663983_dp, 41.2857383468382011_dp, 41.2857379583513975_dp, 41.2857307887990004_dp, &
+         & 41.2856822140199000_dp, 41.2855036478906001_dp, 41.2850276553590021_dp, 41.2839859533292994_dp, &
+         & 41.2819909539288972_dp, 41.2785215850526015_dp, 41.2729140331969973_dp, 41.2643579493829975_dp, &
+         & 41.2518985382338030_dp, 41.2344448098474032_dp, 41.2107841106845996_dp, 41.1796028608530023_dp, &
+         & 41.1395132105538011_dp, 41.0890850909148995_dp, 41.0268828809364976_dp, 40.9515056544985967_dp, &
+         & 40.8616297255923016_dp, 40.7560519962198029_dp, 40.6337324519695002_dp, 40.4938340669732000_dp, &
+         & 40.3357583912190023_dp, 40.1591752106433972_dp, 39.9640448958179988_dp, 39.7506323781404021_dp, &
+         & 39.5195120906495987_dp, 39.2715636508958994_dp, 39.0079585066898034_dp, 38.7301381736021995_dp, &
+         & 38.4397850350079011_dp, 38.1387869339502998_dp, 37.8291969592994022_dp, 37.5131899271762990_dp, &
+         & 37.1930170978828016_dp, 36.8709606597291000_dp, 36.5492894546097986_dp, 36.2302173059541985_dp, &
+         & 35.9158651253559000_dp, 35.6082277167462991_dp, 35.3091458820429978_dp, 35.0202840947009975_dp, &
+         & 34.7431136925602999_dp, 34.4789012894562035_dp, 34.2287019399574035_dp, 33.9933565152389008_dp, &
+         & 33.7734927444318984_dp, 33.5695294196574991_dp, 33.3816833292902970_dp, 33.2099785537324976_dp, &
+         & 33.0542578197739019_dp, 32.9141956585725026_dp, 32.7893131474338020_dp, 32.6789940375539985_dp, &
+         & 32.5825020795716966_dp, 32.4989993568052995_dp, 32.4275654229816013_dp, 32.3672170180429006_dp, &
+         & 32.3169281039585030_dp, 32.2756499250863982_dp, 32.2423307582565997_dp, 32.2159349809035973_dp, &
+         & 32.1954610561707000_dp, 32.1799580168016988_dp, 32.1685400290736965_dp, 32.1603986371744028_dp, &
+         & 32.1548123289928967_dp, 32.1511531262276975_dp, 32.1488899831949979_dp, 32.1475888762077986_dp, &
+         & 32.1469095740032031_dp, 32.1465991935939996_dp, 32.1464827589246980_dp, 32.1464510858467989_dp, &
+         & 32.1464464109659005_dp, 32.1464460503940970_dp, 32.1464395756820025_dp, 32.1463957085528023_dp, &
+         & 32.1462344483177986_dp, 32.1458045875251983_dp, 32.1448638466139016_dp, 32.1430622110860966_dp, &
+         & 32.1399291388307020_dp, 32.1348652263426970_dp, 32.1271388309390034_dp, 32.1158880392867019_dp, &
+         & 32.1001282472731972_dp, 32.0787654689792987_dp, 32.0506153206492996_dp, 32.0144274285057975_dp, &
+         & 31.9689147895582018_dp, 31.9127873787455982_dp, 31.8447890548868990_dp, 31.7637365873641002_dp, &
+         & 31.6685594241186017_dp, 31.5583386700090003_dp, 31.4323436627609993_dp, 31.2900645379047013_dp, &
+         & 31.1312392739364014_dp, 30.9558739052659000_dp, 30.7642548742049016_dp, 30.5569528459706987_dp, &
+         & 30.3348177073584999_dp, 30.0989648823518010_dp, 29.8507534995280004_dp, 29.5917573136835017_dp, &
+         & 29.3237295996052012_dp, 29.0485634852852002_dp, 28.7682493631527016_dp, 28.4848311000454011_dp, &
+         & 28.2003627505090009_dp, 27.9168673592857992_dp, 27.6362992221760990_dp, 27.3605106762147017_dp, &
+         & 27.0912241385591983_dp, 26.8300097451357011_dp, 26.5782685935354017_dp, 26.3372213034757010_dp, &
+         & 26.1079013951954018_dp, 25.8911528605791013_dp, 25.6876312593836005_dp, 25.4978076990662998_dp, &
+         & 25.3219751308803005_dp, 25.1602564952995991_dp, 25.0126143569858002_dp, 24.8788617684906015_dp, &
+         & 24.7586741830551986_dp, 24.6516022954046008_dp, 24.5570857243539002_dp, 24.4744674638530988_dp, &
+         & 24.4030090227892984_dp, 24.3419061520764011_dp, 24.2903050241651002_dp, 24.2473186890162005_dp, &
+         & 24.2120435857634995_dp, 24.1835758447628990_dp, 24.1610270745606002_dp, 24.1435392965491005_dp, &
+         & 24.1302986704934987_dp, 24.1205476499710016_dp, 24.1135952204819013_dp, 24.1088249058303994_dp, &
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+         & 0.5792952110855080_dp, 0.5792619106826040_dp, 0.5791981403123360_dp, 0.5790872552604970_dp, &
+         & 0.5789080681754510_dp, 0.5786347494771110_dp, 0.5782369306046250_dp, 0.5776800243685680_dp, &
+         & 0.5769257713042680_dp, 0.5759330138186340_dp, 0.5746586908991920_dp, 0.5730590352578490_dp, &
+         & 0.5710909423645700_dp, 0.5687134675889570_dp, 0.5658893946578730_dp, 0.5625868071843459_dp, &
+         & 0.5587805866045980_dp, 0.5544537559105220_dp, 0.5495985902466670_dp, 0.5442174234138120_dp, &
+         & 0.5383230935721880_dp, 0.5319389911847811_dp, 0.5250986959794870_dp, 0.5178452153646160_dp, &
+         & 0.5102298619280250_dp, 0.5023108300187290_dp, 0.4941515488997720_dp, 0.4858189010889970_dp, &
+         & 0.4773813985017130_dp, 0.4689074058736940_dp, 0.4604634913855320_dp, 0.4521129697263010_dp, &
+         & 0.4439146847287030_dp, 0.4359220590802270_dp, 0.4281824193389030_dp, 0.4207365872053050_dp, &
+         & 0.4136187139679990_dp, 0.4068563249928590_dp, 0.4004705352826010_dp, 0.3944763952331630_dp, &
+         & 0.3888833271421320_dp, 0.3836956169526000_dp, 0.3789129312515980_dp, 0.3745308358575200_dp, &
+         & 0.3705412987341390_dp, 0.3669331659539810_dp, 0.3636926046645570_dp, 0.3608035113104440_dp, &
+         & 0.3582478866620350_dp, 0.3560061815117880_dp, 0.3540576182783680_dp, 0.3523804942958580_dp, &
+         & 0.3509524723579320_dp, 0.3497508632484030_dp, 0.3487529036382280_dp, 0.3479360309982910_dp, &
+         & 0.3472781552120450_dp, 0.3467579245307350_dp, 0.3463549815650640_dp, 0.3460502033170980_dp, &
+         & 0.3458259179823030_dp, 0.3456660905237500_dp, 0.3455564689288980_dp, 0.3454846836415650_dp, &
+         & 0.3454402938965020_dp, 0.3454147764907130_dp, 0.3454014547694230_dp, 0.3453953681165840_dp, &
+         & 0.3453930848274990_dp, 0.3453924637198330_dp, 0.3453923720457150_dp, 0.3453923649497670_dp, &
+         & 0.3453922372029790_dp, 0.3453913717009910_dp, 0.3453881900436930_dp, 0.3453797090636780_dp, &
+         & 0.3453611494085250_dp, 0.3453256083689310_dp, 0.3452638113406150_dp, 0.3451639554432550_dp, &
+         & 0.3450116577447420_dp, 0.3447900190585000_dp, 0.3444798121454580_dp, 0.3440598000982720_dp, &
+         & 0.3435071864785970_dp, 0.3427981932856600_dp, 0.3419087560721720_dp, 0.3408153177186290_dp, &
+         & 0.3394956939998650_dp, 0.3379299758367300_dp, 0.3361014259348560_dp, 0.3339973223858410_dp, &
+         & 0.3316096997322480_dp, 0.3289359397643070_dp, 0.3259791703443900_dp, 0.3227484407632630_dp, &
+         & 0.3192586558666410_dp, 0.3155302672529740_dp, 0.3115887366303340_dp, 0.3074638021358990_dp, &
+         & 0.3031885913649570_dp, 0.2987986336794320_dp, 0.2943308282902350_dp, 0.2898224235156520_dp, &
+         & 0.2853100570379400_dp, 0.2808288979398770_dp, 0.2764119201278130_dp, 0.2720893248176640_dp, &
+         & 0.2678881183081360_dp, 0.2638318412356280_dp, 0.2599404374955650_dp, 0.2562302452911570_dp, &
+         & 0.2527140893269790_dp, 0.2494014517963880_dp, 0.2462987001868480_dp, 0.2434093516452980_dp, &
+         & 0.2407343562889110_dp, 0.2382723850213680_dp, 0.2360201107825050_dp, 0.2339724754517150_dp, &
+         & 0.2321229376460680_dp, 0.2304636992689380_dp, 0.2289859107995510_dp, 0.2276798569310610_dp, &
+         & 0.2265351252714470_dp, 0.2255407614434970_dp, 0.2246854141045420_dp, 0.2239574732086780_dp, &
+         & 0.2233452043148250_dp, 0.2228368809696450_dp, 0.2224209162336450_dp, 0.2220859933480880_dp, &
+         & 0.2218211944406720_dp, 0.2216161251221320_dp, 0.2214610319205410_dp, 0.2213469088123150_dp, &
+         & 0.2212655887064440_dp, 0.2212098156674290_dp, 0.2211732939418880_dp, 0.2211507104761590_dp, &
+         & 0.2211377285330020_dp, 0.2211309511678510_dp, 0.2211278546202920_dp, 0.2211266930124150_dp, &
+         & 0.2211263770282270_dp, 0.2211263303896730_dp, 0.2211263267504010_dp, 0.2211262608551370_dp, &
+         & 0.2211258144058020_dp, 0.2211241732222220_dp, 0.2211197985169730_dp, 0.2211102250261520_dp, &
+         & 0.2210918923494840_dp, 0.2210600170010510_dp, 0.2210085122708490_dp, 0.2209299624893790_dp, &
+         & 0.2208156575608340_dp, 0.2206556925434880_dp, 0.2204391354555430_dp, 0.2201542642396320_dp, &
+         & 0.2197888708474810_dp, 0.2193306267169250_dp, 0.2187674996353830_dp, 0.2180882073816900_dp, &
+         & 0.2172826890222620_dp, 0.2163425708256100_dp, 0.2152616010332760_dp, 0.2140360267406440_dp, &
+         & 0.2126648873372970_dp, 0.2111502025497530_dp, 0.2094970390496160_dp, 0.2077134474363550_dp, &
+         & 0.2058102704722200_dp, 0.2038008328070550_dp, 0.2017005310572270_dp, 0.1995263500212230_dp, &
+         & 0.1972963352693000_dp, 0.1950290539037880_dp, 0.1927430739182160_dp, 0.1904564886252090_dp, &
+         & 0.1881865067074740_dp, 0.1859491213742710_dp, 0.1837588647230110_dp, 0.1816286465015220_dp, &
+         & 0.1795696706948820_dp, 0.1775914191640030_dp, 0.1757016891264200_dp, 0.1739066705050620_dp, &
+         & 0.1722110497785610_dp, 0.1706181285485190_dp, 0.1691299472046740_dp, 0.1677474064956210_dp, &
+         & 0.1664703822455070_dp, 0.1652978306872090_dp, 0.1642278837422570_dp, 0.1632579349692160_dp, &
+         & 0.1623847178058070_dp, 0.1616043782008490_dp, 0.1609125438612150_dp, 0.1603043922163180_dp, &
+         & 0.1597747189013030_dp, 0.1593180081356990_dp, 0.1589285058706550_dp, 0.1586002960348690_dp, &
+         & 0.1583273796609750_dp, 0.1581037561469570_dp, 0.1579235054221610_dp, 0.1577808693632720_dp, &
+         & 0.1576703304590270_dp, 0.1575866854726370_dp, 0.1575251117156710_dp, 0.1574812235426750_dp, &
+         & 0.1574511168131990_dp, 0.1574313993484040_dp, 0.1574192058259600_dp, 0.1574121960898860_dp, &
+         & 0.1574085364711880_dp, 0.1574068643829210_dp, 0.1574062371284130_dp, 0.1574060665003070_dp, &
+         & 0.1574060413159590_dp, 0.1574060393340630_dp, 0.1574060032342930_dp, 0.1574057586531910_dp, &
+         & 0.1574048595507590_dp, 0.1574024629008830_dp, 0.1573972180287130_dp, 0.1573871739976200_dp, &
+         & 0.1573697089902380_dp, 0.1573414853128340_dp, 0.1572984332710870_dp, 0.1572357666724000_dp, &
+         & 0.1571480320491010_dp, 0.1570291928053890_dp, 0.1568727483133970_dp, 0.1566718864921340_dp, &
+         & 0.1564196666056360_dp, 0.1561092269849810_dp, 0.1557340102469030_dp, 0.1552879965557850_dp, &
+         & 0.1547659338136140_dp, 0.1541635526440290_dp, 0.1534777539221110_dp, 0.1527067575693050_dp, &
+         & 0.1518502034388190_dp, 0.1509091982518530_dp, 0.1498863064355690_dp, 0.1487854869406390_dp, &
+         & 0.1476119821704320_dp, 0.1463721685076250_dp, 0.1450733801236050_dp, 0.1437237185183730_dp, &
+         & 0.1423318595364120_dp, 0.1409068676884710_dp, 0.1394580249416820_dp, 0.1379946782296100_dp, &
+         & 0.1365261071860860_dp, 0.1350614112553860_dp, 0.1336094135209790_dp, 0.1321785774919920_dp, &
+         & 0.1307769328687480_dp, 0.1294120070155100_dp, 0.1280907602349400_dp, 0.1268195244352630_dp, &
+         & 0.1256039459075280_dp, 0.1244489335061660_dp, 0.1233586137278170_dp, 0.1223362943185580_dp, &
+         & 0.1213844382031230_dp, 0.1205046495937270_dp, 0.1196976738965670_dp, 0.1189634124470370_dp, &
+         & 0.1183009523467860_dp, 0.1177086109645200_dp, 0.1171839941511830_dp, 0.1167240668602860_dp, &
+         & 0.1163252346074730_dp, 0.1159834339351780_dp, 0.1156942297943000_dp, 0.1154529175355920_dp, &
+         & 0.1152546270215640_dp, 0.1150944262893460_dp, 0.1149674221594590_dp, 0.1148688552311870_dp, &
+         & 0.1147941868062150_dp, 0.1147391754616510_dp, 0.1146999412334610_dp, 0.1146730157027920_dp, &
+         & 0.1146553766595280_dp, 0.1146444664761220_dp, 0.1146381938119210_dp, 0.1146349188022100_dp, &
+         & 0.1146334223975170_dp, 0.1146328610400430_dp, 0.1146327083368060_dp, 0.1146326857979220_dp, &
+         & 0.1146326840086690_dp, 0.1146326512155080_dp, 0.1146324290381460_dp, 0.1146316122874610_dp, &
+         & 0.1146294351142960_dp, 0.1146246703436020_dp, 0.1146155449272400_dp, 0.1145996747816080_dp, &
+         & 0.1145740218001240_dp, 0.1145348753065680_dp, 0.1144778595985940_dp, 0.1143979685461080_dp, &
+         & 0.1142896274711160_dp, 0.1141467816777530_dp, 0.1139630101315130_dp, 0.1137316618246020_dp, &
+         & 0.1134460114150500_dp, 0.1130994298079880_dp, 0.1126855645208380_dp, 0.1121985240181330_dp, &
+         & 0.1116330597653030_dp, 0.1109847396274330_dp, 0.1102501064409440_dp, 0.1094268161723380_dp, &
+         & 0.1085137510162260_dp, 0.1075111039546780_dp, 0.1064204325073490_dp, 0.1052446804430790_dp, &
+         & 0.1039881668808320_dp, 0.1026565426506990_dp, 0.1012567142592500_dp, 0.0997967366603163_dp, &
+         & 0.0982856774187368_dp, 0.0967334561683941_dp, 0.0951506640438922_dp, 0.0935483675482942_dp, &
+         & 0.0919379009054637_dp, 0.0903306511729269_dp, 0.0887378419878289_dp, 0.0871703239958919_dp, &
+         & 0.0856383807626457_dp, 0.0841515577847431_dp, 0.0827185184018049_dp, 0.0813176847214478_dp, &
+         & 0.0800173712709906_dp, 0.0787900155884529_dp, 0.0776399244378965_dp, 0.0765702094763085_dp, &
+         & 0.0755828088029489_dp, 0.0746785299935055_dp, 0.0738571112358599_dp, 0.0731172973006551_dp, &
+         & 0.0724569273544589_dp, 0.0718730319809353_dp, 0.0713619371475502_dp, 0.0709193731852409_dp, &
+         & 0.0705405870968363_dp, 0.0702204566559885_dp, 0.0699536047983358_dp, 0.0697345127557014_dp, &
+         & 0.0695576302665444_dp, 0.0694174810475019_dp, 0.0693087615693813_dp, 0.0692264310837771_dp, &
+         & 0.0691657908260765_dp, 0.0691225504011825_dp, 0.0690928795524641_dp, 0.0690734438259568_dp, &
+         & 0.0690614230586633_dp, 0.0690545121249500_dp, 0.0690509039407274_dp, 0.0690492553192357_dp, &
+         & 0.0690486368623908_dp, 0.0690484686269670_dp, 0.0690484437957508_dp, 0.0690484418063093_dp, &
+         & 0.0690484051198297_dp, 0.0690481565634755_dp, 0.0690472428438014_dp, 0.0690448072003704_dp, &
+         & 0.0690394768430735_dp, 0.0690292685283111_dp, 0.0690115160496276_dp, 0.0689828229679605_dp, &
+         & 0.0689390433858534_dp, 0.0688752929689542_dp, 0.0687859917221374_dp, 0.0686649392234671_dp, &
+         & 0.0685054220978927_dp, 0.0683003524744166_dp, 0.0680424350292697_dp, 0.0677243590004082_dp, &
+         & 0.0673390103080678_dp, 0.0668796976878667_dp, 0.0663403856027003_dp, 0.0657159257227065_dp, &
+         & 0.0650022780239041_dp, 0.0641967121374947_dp, 0.0632979795548607_dp, 0.0623064477285098_dp, &
+         & 0.0612241880580982_dp, 0.0600550112447564_dp, 0.0588044455337879_dp, 0.0574796558939070_dp, &
+         & 0.0560893050963287_dp, 0.0546433607881625_dp, 0.0531528557770713_dp, 0.0516296115912880_dp, &
+         & 0.0500859376734297_dp, 0.0485343200563761_dp, 0.0469871138734987_dp, 0.0454562534892204_dp, &
+         & 0.0439529924442397_dp, 0.0424876829536345_dp, 0.0410696016406433_dp, 0.0397068248564878_dp, &
+         & 0.0384061536593308_dp, 0.0371730856011681_dp, 0.0360118281284940_dp, 0.0349253467777118_dp, &
+         & 0.0339154404840301_dp, 0.0329828361763234_dp, 0.0321272952919784_dp, 0.0313477257587635_dp, &
+         & 0.0306422941912032_dp, 0.0300085343764920_dp, 0.0294434494425602_dp, 0.0289436063041393_dp, &
+         & 0.0285052219948767_dp, 0.0281242422709127_dp, 0.0277964133978372_dp, 0.0275173483115552_dp, &
+         & 0.0272825883979877_dp, 0.0270876619983014_dp, 0.0269281404599582_dp, 0.0267996921613189_dp, &
+         & 0.0266981344923138_dp, 0.0266194833207791_dp, 0.0265599990621439_dp, 0.0265162281392008_dp, &
+         & 0.0264850384039264_dp, 0.0264636470137845_dp, 0.0264496393235518_dp, 0.0264409775637162_dp, &
+         & 0.0264359984113298_dp, 0.0264333989899299_dp, 0.0264322113259112_dp, 0.0264317657974757_dp, &
+         & 0.0264316446034485_dp, 0.0264316267154712_dp, 0.0264316252688204_dp, 0.0264315984231231_dp, &
+         & 0.0264314165399711_dp, 0.0264307479233707_dp, 0.0264289656766152_dp, 0.0264250654738589_dp, &
+         & 0.0264175968882583_dp, 0.0264046113625866_dp, 0.0263836297652276_dp, 0.0263516322881827_dp, &
+         & 0.0263050731728498_dp, 0.0262399223317686_dp, 0.0261517353107195_dp, 0.0260357521495251_dp, &
+         & 0.0258870245184966_dp, 0.0257005690290768_dp, 0.0254715428805810_dp, 0.0251954361027558_dp, &
+         & 0.0248682727208234_dp, 0.0244868113925207_dp, 0.0240487346546558_dp, 0.0235528150947033_dp, &
+         & 0.0229990467322523_dp, 0.0223887308136455_dp, 0.0217245071640022_dp, 0.0210103251719573_dp, &
+         & 0.0202513522504262_dp, 0.0194538219376241_dp, 0.0186248282980017_dp, 0.0177720774982646_dp, &
+         & 0.0169036109138361_dp, 0.0160275164571431_dp, 0.0151516457247993_dp, 0.0142833539211082_dp, &
+         & 0.0134292774151703_dp, 0.0125951605016255_dp, 0.0117857388656830_dp, 0.0110046828555213_dp, &
+         & 0.0102545993622343_dp, 0.0095370872481553_dp, 0.0088528381105419_dp, 0.0082017718920326_dp, &
+         & 0.0075831955379115_dp, 0.0069959725323301_dp, 0.0064386916209571_dp, 0.0059098241983335_dp, &
+         & 0.0054078615656437_dp, 0.0049314254311099_dp, 0.0044793475095588_dp, 0.0040507167165060_dp, &
+         & 0.0036448950241521_dp, 0.0032615053120608_dp, 0.0029003962919276_dp, 0.0025615906825607_dp, &
+         & 0.0022452232196457_dp, 0.0019514748537759_dp, 0.0016805087309564_dp, 0.0014324124186444_dp, &
+         & 0.0012071495131281_dp, 0.0010045224169204_dp, 0.0008241468582497_dp, 0.0006654377485518_dp, &
+         & 0.0005276052919925_dp, 0.0004098115859392_dp, 0.0003105491500790_dp, 0.0002286485437466_dp, &
+         & 1.6261726364774599e-04_dp, 1.1083957942048499e-04_dp, 7.1604820305992703e-05_dp, 4.3138076101456597e-05_dp, &
+         & 2.3633123184651999e-05_dp, 1.1287845396168401e-05_dp, 4.3430907226138498e-06_dp, 1.1272138422668800e-06_dp, &
+         & -4.2632564145605999e-14_dp &
+         &]
+      case (62)
+         out = [&
+         & 62.0000000000000000_dp, 61.9999999370018031_dp, 61.9999979889738029_dp, 61.9999847907753008_dp, &
+         & 61.9999362724738035_dp, 61.9998069379771977_dp, 61.9995238798156976_dp, 61.9989817406058989_dp, &
+         & 61.9980388027405027_dp, 61.9965143530758027_dp, 61.9941874300915998_dp, 61.9907970187213024_dp, &
+         & 61.9860437146172032_dp, 61.9795928369716975_dp, 61.9710789290900976_dp, 61.9601115504255020_dp, &
+         & 61.9462822339680983_dp, 61.9291724592747030_dp, 61.9083624736772009_dp, 61.8834407810213989_dp, &
+         & 61.8540141065704034_dp, 61.8197176358991030_dp, 61.7802253122936023_dp, 61.7352599597373981_dp, &
+         & 61.6846029769511972_dp, 61.6281033240801008_dp, 61.5656855015690994_dp, 61.4973562063456995_dp, &
+         & 61.4232093502685998_dp, 61.3434291460712018_dp, 61.2582910109656993_dp, 61.1681601087864024_dp, &
+         & 61.0734874452722991_dp, 60.9748035412682015_dp, 60.8727098256863002_dp, 60.7678680029361971_dp, &
+         & 60.6609877473416006_dp, 60.5528131509114971_dp, 60.4441083950515008_dp, 60.3356431295648008_dp, &
+         & 60.2281780255394992_dp, 60.1224509274206014_dp, 60.0191639705963027_dp, 59.9189719617230026_dp, &
+         & 59.8224722468384016_dp, 59.7301962228401990_dp, 59.6426025851701027_dp, 59.5600723507548011_dp, &
+         & 59.4829056510149030_dp, 59.4113202544363972_dp, 59.3454517503915966_dp, 59.2853553038321976_dp, &
+         & 59.2310088723911008_dp, 59.1823177617682035_dp, 59.1391203809005006_dp, 59.1011950445965013_dp, &
+         & 59.0682676577883967_dp, 59.0400201024235969_dp, 59.0160991357466997_dp, 58.9961255979986987_dp, &
+         & 58.9797037192535996_dp, 58.9664303101574987_dp, 58.9559036206683018_dp, 58.9477316553185986_dp, &
+         & 58.9415397437018029_dp, 58.9369771811571965_dp, 58.9337227770953973_dp, 58.9314891767403992_dp, &
+         & 58.9300258556483030_dp, 58.9291207242100015_dp, 58.9286003201993012_dp, 58.9283286098405981_dp, &
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+         & 0.0799918151929546_dp, 0.0793078020890050_dp, 0.0784957841750185_dp, 0.0775468882814749_dp, &
+         & 0.0764543112448024_dp, 0.0752137305288585_dp, 0.0738236471443727_dp, 0.0722856378413042_dp, &
+         & 0.0706044969264497_dp, 0.0687882533020598_dp, 0.0668480550776707_dp, 0.0647979221648072_dp, &
+         & 0.0626543758221132_dp, 0.0604359626300948_dp, 0.0581626974586698_dp, 0.0558554556978521_dp, &
+         & 0.0535353476241411_dp, 0.0512231083070418_dp, 0.0489385337587080_dp, 0.0466999901944192_dp, &
+         & 0.0445240165358740_dp, 0.0424250330255020_dp, 0.0404016638241131_dp, 0.0384927888069768_dp, &
+         & 0.0366898645785909_dp, 0.0349980697627785_dp, 0.0334204904412587_dp, 0.0319583290353123_dp, &
+         & 0.0306111404083111_dp, 0.0293770788751999_dp, 0.0282531424636900_dp, 0.0272354038610274_dp, &
+         & 0.0263192206448366_dp, 0.0254994203652856_dp, 0.0247704586350039_dp, 0.0241265504932215_dp, &
+         & 0.0235617769092400_dp, 0.0230701693927529_dp, 0.0226457763320767_dp, 0.0222827149463072_dp, &
+         & 0.0219752126798340_dp, 0.0217176415503175_dp, 0.0215045484459466_dp, 0.0213306837060543_dp, &
+         & 0.0211910295686977_dp, 0.0210808292781763_dp, 0.0209956168703016_dp, 0.0209312469436256_dp, &
+         & 0.0208839231320468_dp, 0.0208502235596271_dp, 0.0208271213145821_dp, 0.0208119979426087_dp, &
+         & 0.0208026481283312_dp, 0.0207972740876556_dp, 0.0207944686946888_dp, 0.0207931869652427_dp, &
+         & 0.0207927061568540_dp, 0.0207925753664995_dp, 0.0207925560621547_dp, 0.0207925545155305_dp, &
+         & 0.0207925259946578_dp, 0.0207923327622268_dp, 0.0207916224298756_dp, 0.0207897290251324_dp, &
+         & 0.0207855857635977_dp, 0.0207776524870908_dp, 0.0207638613495575_dp, 0.0207415843494232_dp, &
+         & 0.0207076262902177_dp, 0.0206582466081926_dp, 0.0205892131285097_dp, 0.0204958900770293_dp, &
+         & 0.0203733614770201_dp, 0.0202165893282356_dp, 0.0200206036942063_dp, 0.0197807190913579_dp, &
+         & 0.0194927685649304_dp, 0.0191533438374378_dp, 0.0187600273016173_dp, 0.0183115998249690_dp, &
+         & 0.0178082077538733_dp, 0.0172514734849329_dp, 0.0166445366877497_dp, 0.0159920176714010_dp, &
+         & 0.0152999001861005_dp, 0.0145753375909763_dp, 0.0138263930549272_dp, 0.0130617304560516_dp, &
+         & 0.0122902771136140_dp, 0.0115208818148176_dp, 0.0107619914707726_dp, 0.0100251593197953_dp, &
+         & 0.0093096739456655_dp, 0.0086250751580650_dp, 0.0079759646789697_dp, 0.0073657523991813_dp, &
+         & 0.0067966828078170_dp, 0.0062699187726594_dp, 0.0057856825269269_dp, 0.0053433917392596_dp, &
+         & 0.0049418022718015_dp, 0.0045791687849714_dp, 0.0042533735782797_dp, 0.0039620461796943_dp, &
+         & 0.0037026967338463_dp, 0.0034728022723840_dp, 0.0032698569143506_dp, 0.0030914436746130_dp, &
+         & 0.0029352839237404_dp, 0.0027992246014463_dp, 0.0026812319583414_dp, 0.0025794295376187_dp, &
+         & 0.0024921174724000_dp, 0.0024177422429830_dp, 0.0023548600139307_dp, 0.0023021307386202_dp, &
+         & 0.0022583273031458_dp, 0.0022223334484863_dp, 0.0021931302117508_dp, 0.0021697820117978_dp, &
+         & 0.0021514281667123_dp, 0.0021372793676164_dp, 0.0021266167376552_dp, 0.0021187918495684_dp, &
+         & 0.0021132270403328_dp, 0.0021094157097465_dp, 0.0021069222713734_dp, 0.0021053813581489_dp, &
+         & 0.0021044958942937_dp, 0.0021040337207765_dp, 0.0021038225769203_dp, 0.0021037433739437_dp, &
+         & 0.0021037218292363_dp, 0.0021037186493160_dp, 0.0021037183920925_dp, 0.0021037136193129_dp, &
+         & 0.0021036812832520_dp, 0.0021035624159680_dp, 0.0021032455861132_dp, 0.0021025523477292_dp, &
+         & 0.0021012252339787_dp, 0.0020989190020515_dp, 0.0020951958956985_dp, 0.0020895257583149_dp, &
+         & 0.0020812918645063_dp, 0.0020698033113362_dp, 0.0020543146608887_dp, 0.0020340531462892_dp, &
+         & 0.0020082529980456_dp, 0.0019761952913555_dp, 0.0019372507313804_dp, 0.0018909232996052_dp, &
+         & 0.0018368949748080_dp, 0.0017750722473906_dp, 0.0017056290335020_dp, 0.0016290298868427_dp, &
+         & 0.0015460159077776_dp, 0.0014575622310602_dp, 0.0013648448975872_dp, 0.0012692178328422_dp, &
+         & 0.0011721497561368_dp, 0.0010751195874761_dp, 0.0009795438603462_dp, 0.0008867494651170_dp, &
+         & 0.0007979200891057_dp, 0.0007140197235955_dp, 0.0006357674042263_dp, 0.0005636370169739_dp, &
+         & 0.0004978409490874_dp, 0.0004383679739419_dp, 0.0003850568932222_dp, 0.0003376267611372_dp, &
+         & 0.0002957143237197_dp, 0.0002589501508794_dp, 0.0002269227674887_dp, 0.0001990666987481_dp, &
+         & 0.0001752451383652_dp, 0.0001548044724728_dp, 0.0001366078769678_dp, 0.0001212856594819_dp, &
+         & 1.0850933520600800e-04_dp, 9.7050759087835599e-05_dp, 8.6589824014993196e-05_dp, 7.6923433425690705e-05_dp, &
+         & 6.7961051883003206e-05_dp, 5.9675613670151499e-05_dp, 5.1991749145940998e-05_dp, 4.5989372573274102e-05_dp, &
+         & 4.0279229956752301e-05_dp, 3.4921021672573702e-05_dp, 2.9984966822382800e-05_dp, 2.5507727613671701e-05_dp, &
+         & 2.1494133228827599e-05_dp, 1.7920381864655600e-05_dp, 1.4751418042635600e-05_dp, 1.1957572681353700e-05_dp, &
+         & 9.5178261361183996e-06_dp, 7.4158069978125198e-06_dp, 5.6354340429720702e-06_dp, 4.1581874867802097e-06_dp, &
+         & 2.9619580175221901e-06_dp, 2.0209931790304802e-06_dp, 1.3064750561397899e-06_dp, 7.8738607811601500e-07_dp, &
+         &  4.3145590211679498e-07_dp, -3.5527136788005003e-14_dp, -3.5527136788005003e-14_dp, -2.8421709430404001e-14_dp, &
+         & -2.8421709430404001e-14_dp &
+         &]
+      case (63)
+         out = [&
+         & 63.0000000000000000_dp, 62.9999999355720988_dp, 62.9999979433328008_dp, 62.9999844455959987_dp, &
+         & 62.9999348261519998_dp, 62.9998025563514972_dp, 62.9995130740351996_dp, 62.9989586305960998_dp, &
+         & 62.9979942918044031_dp, 62.9964352424395031_dp, 62.9940555045671005_dp, 62.9905881360541002_dp, &
+         & 62.9857269315066972_dp, 62.9791296042430986_dp, 62.9704223871712969_dp, 62.9592059542801010_dp, &
+         & 62.9450625341427994_dp, 62.9275640629020003_dp, 62.9062812062629035_dp, 62.8807930666935988_dp, &
+         & 62.8506973811014973_dp, 62.8156210030565987_dp, 62.7752304496294968_dp, 62.7292422744555012_dp, &
+         & 62.6774330056888971_dp, 62.6196483621485029_dp, 62.5558114375092984_dp, 62.4859295269849966_dp, &
+         & 62.4100992705567990_dp, 62.3285098078654016_dp, 62.2414436867829011_dp, 62.1492753414784005_dp, &
+         & 62.0524670534748992_dp, 61.9515624237862994_dp, 61.8471775056254032_dp, 61.7399898637777014_dp, &
+         & 61.6307259272289016_dp, 61.5201470768483034_dp, 61.4090349541215019_dp, 61.2981764884085010_dp, &
+         & 61.1883491212184012_dp, 61.0803066618867021_dp, 60.9747661470970996_dp, 60.8723960047919022_dp, &
+         & 60.7738057484720002_dp, 60.6795373566192993_dp, 60.5900584280287973_dp, 60.5057571493823971_dp, &
+         & 60.4269390669058026_dp, 60.3538256186716993_dp, 60.2865543564983000_dp, 60.2251807645640014_dp, &
+         & 60.1696815639671030_dp, 60.1199593769132008_dp, 60.0758486098377986_dp, 60.0371224008462008_dp, &
+         & 60.0035004631251994_dp, 59.9746576425869975_dp, 59.9502329954272994_dp, 59.9298391802446986_dp, &
+         & 59.9130719507779972_dp, 59.8995195301313004_dp, 59.8887716465373003_dp, 59.8804280150995965_dp, &
+         & 59.8741060602047028_dp, 59.8694476898062007_dp, 59.8661249556055992_dp, 59.8638444620136028_dp, &
+         & 59.8623504210013024_dp, 59.8614262885593007_dp, 59.8608949601845026_dp, 59.8606175461277985_dp, &
+         & 59.8604907904401031_dp, 59.8604432395340993_dp, 59.8604303044902011_dp, 59.8604283953032024_dp, &
+         & 59.8604281448581972_dp, 59.8604223097884969_dp, 59.8603827763144025_dp, 59.8602374468068987_dp, &
+         & 59.8598500495860009_dp, 59.8590022295291035_dp, 59.8573785116465018_dp, 59.8545547242253022_dp, &
+         & 59.8499903885302018_dp, 59.8430254906009012_dp, 59.8328819472465980_dp, 59.8186699623839004_dp, &
+         & 59.7993993409169988_dp, 59.7739956853285008_dp, 59.7413212456281997_dp, 59.7002000277606015_dp, &
+         & 59.6494465914339997_dp, 59.5878977892468029_dp, 59.5144465203387014_dp, 59.4280764016594034_dp, &
+         & 59.3278961103534002_dp, 59.2131720386598985_dp, 59.0833578498201035_dp, 58.9381195538653984_dp, &
+         & 58.7773548571558990_dp, 58.6012057903699031_dp, 58.4100639796938026_dp, 58.2045683657400019_dp, &
+         & 57.9855956426493009_dp, 57.7542441205078987_dp, 57.5118120431280033_dp, 57.2597715742452991_dp, &
+         & 56.9997396845242008_dp, 56.7334470536078967_dp, 56.4627059016325035_dp, 56.1893774539899979_dp, &
+         & 55.9153395853659987_dp, 55.6424551206431985_dp, 55.3725412894574021_dp, 55.1073409008430986_dp, &
+         & 54.8484958676412973_dp, 54.5975237136968019_dp, 54.3557976114002983_dp, 54.1245303286181993_dp, &
+         & 53.9047622482066018_dp, 53.6973534092105993_dp, 53.5029793492685997_dp, 53.3221304254875008_dp, &
+         & 53.1551142559173968_dp, 53.0020609386196995_dp, 52.8629307463154987_dp, 52.7375240399387977_dp, &
+         & 52.6254931792977985_dp, 52.5263562264763024_dp, 52.4395122367042035_dp, 52.3642579149721001_dp, &
+         & 52.2998053889822003_dp, 52.2453008146773001_dp, 52.1998434938128000_dp, 52.1625051476031985_dp, &
+         & 52.1323489598195025_dp, 52.1084479799863018_dp, 52.0899024654024032_dp, 52.0758557421180015_dp, &
+         & 52.0655081817112020_dp, 52.0581289239307026_dp, 52.0530650252713016_dp, 52.0497477794824022_dp, &
+         & 52.0476960359056022_dp, 52.0465164323565972_dp, 52.0459005571177968_dp, 52.0456191550085023_dp, &
+         & 52.0455135907754993_dp, 52.0454848746892011_dp, 52.0454806362529965_dp, 52.0454802620797992_dp, &
+         & 52.0454729303393009_dp, 52.0454232567086024_dp, 52.0452406510354990_dp, 52.0447538901847011_dp, &
+         & 52.0436886200319009_dp, 52.0416484774941992_dp, 52.0381005812602027_dp, 52.0323660462803019_dp, &
+         & 52.0236160686141034_dp, 52.0108740018691975_dp, 51.9930237011806966_dp, 51.9688242422870985_dp, &
+         & 51.9369309293891988_dp, 51.8959222858646996_dp, 51.8443324795129001_dp, 51.7806883761740977_dp, &
+         & 51.7035501546728966_dp, 51.6115541696271976_dp, 51.5034565387298002_dp, 51.3781757823319012_dp, &
+         & 51.2348327799254974_dp, 51.0727863503407988_dp, 50.8916629204257021_dp, 50.6913790162746025_dp, &
+         & 50.4721556693788003_dp, 50.2345242379991035_dp, 49.9793235521594994_dp, 49.7076886520275991_dp, &
+         & 49.4210316743196998_dp, 49.1210156468148966_dp, 48.8095220996994001_dp, 48.4886135289924027_dp, &
+         & 48.1604918786880987_dp, 47.8274543479149017_dp, 47.4918479537869018_dp, 47.1560243496005995_dp, &
+         & 46.8222963734125983_dp, 46.4928976645147998_dp, 46.1699464428039974_dp, 45.8554142310495010_dp, &
+         & 45.5510999590120989_dp, 45.2586095681257987_dp, 44.9793409721371020_dp, 44.7144740421571996_dp, &
+         & 44.4649651764695975_dp, 44.2315459755361999_dp, 44.0147255529869028_dp, 43.8147960542556021_dp, &
+         & 43.6318410084647965_dp, 43.4657461930302986_dp, 43.3162127358006970_dp, 43.1827722118898976_dp, &
+         & 43.0648035100497992_dp, 42.9615512466181997_dp, 42.8721454948980991_dp, 42.7956225760798006_dp, &
+         & 42.7309466268076008_dp, 42.6770316210805021_dp, 42.6327634838028970_dp, 42.5970218939702008_dp, &
+         & 42.5687013415869018_dp, 42.5467309784902028_dp, 42.5300927935943989_dp, 42.5178376512911029_dp, &
+         & 42.5090987604286994_dp, 42.5031021916022027_dp, 42.4991741319800980_dp, 42.4967446574299004_dp, &
+         & 42.4953479075872025_dp, 42.4946186657525971_dp, 42.4942854662717977_dp, 42.4941604711799030_dp, &
+         & 42.4941264694405021_dp, 42.4941214508533989_dp, 42.4941210483005989_dp, 42.4941136191602027_dp, &
+         & 42.4940632856337999_dp, 42.4938782541641018_dp, 42.4933850274137015_dp, 42.4923056087435995_dp, &
+         & 42.4902383775634007_dp, 42.4866433973244000_dp, 42.4808328249355966_dp, 42.4719669825595005_dp, &
+         & 42.4590565277677996_dp, 42.4409710125984034_dp, 42.4164539526772018_dp, 42.3841443317130029_dp, &
+         & 42.3426042439680970_dp, 42.2903521307252035_dp, 42.2259008036322996_dp, 42.1477991803416003_dp, &
+         & 42.0546764030967992_dp, 41.9452867898516999_dp, 41.8185539031795983_dp, 41.6736119372038019_dp, &
+         & 41.5098426357004016_dp, 41.3269060766629011_dp, 41.1247638907736004_dp, 40.9036938117831994_dp, &
+         & 40.6642948618655993_dp, 40.4074829209941981_dp, 40.1344768781850973_dp, 39.8467759782622011_dp, &
+         & 39.5461293338522992_dp, 39.2344988550962981_dp, 38.9140170584758991_dp, 38.5869413581318028_dp, &
+         & 38.2556065238934977_dp, 37.9223770072049007_dp, 37.5896007763616993_dp, 37.2595661498269024_dp, &
+         & 36.9344628642500012_dp, 36.6163482767749997_dp, 36.3071192181463971_dp, 36.0084896381536979_dp, &
+         & 35.7219738703817029_dp, 35.4488751230176007_dp, 35.1902786842741975_dp, 34.9470492992956991_dp, &
+         & 34.7198322020152972_dp, 34.5090573411713990_dp, 34.3149464023787019_dp, 34.1375222851035005_dp, &
+         & 33.9766207398762035_dp, 33.8319039068883995_dp, 33.7028755235465027_dp, 33.5888975864287005_dp, &
+         & 33.4892082622632969_dp, 33.4029408422101994_dp, 33.3291435230805035_dp, 33.2667997781477993_dp, &
+         & 33.2148490500455011_dp, 33.1722074614408982_dp, 33.1377881995695986_dp, 33.1105211930483989_dp, &
+         & 33.0893716689326993_dp, 33.0733571599233969_dp, 33.0615625304997991_dp, 33.0531526099742976_dp, &
+         & 33.0473820618564034_dp, 33.0436021824977999_dp, 33.0412644058896987_dp, 33.0399203920531974_dp, &
+         & 33.0392186886197976_dp, 33.0388980729073012_dp, 33.0387777986228031_dp, 33.0387450810764989_dp, &
+         & 33.0387402520343016_dp, 33.0387398795720983_dp, 33.0387331913464024_dp, 33.0386878776320998_dp, &
+         & 33.0385212996023014_dp, 33.0380772635608011_dp, 33.0371055006660015_dp, 33.0352444551023012_dp, &
+         & 33.0320080707197974_dp, 33.0267771848875995_dp, 33.0187960438840022_dp, 33.0071743440722969_dp, &
+         & 32.9908950738927018_dp, 32.9688282796973979_dp, 32.9397507009541997_dp, 32.9023710167220003_dp, &
+         & 32.8553602181629003_dp, 32.7973863779478023_dp, 32.7271528381035992_dp, 32.6434385989559033_dp, &
+         & 32.5451394826903027_dp, 32.4313084867528971_dp, 32.3011936551436989_dp, 32.1542717962312992_dp, &
+         & 31.9902764740892991_dp, 31.8092188979125012_dp, 31.6114006226242985_dp, 31.3974173363731985_dp, &
+         & 31.1681534237565998_dp, 30.9247674304678988_dp, 30.6686689885695998_dp, 30.4014881664013998_dp, &
+         & 30.1250385602536994_dp, 29.8412757252655005_dp, 29.5522527310509986_dp, 29.2600747065622002_dp, &
+         & 28.9668541976147011_dp, 28.6746689981788982_dp, 28.3855238453048990_dp, 28.1013170142058009_dp, &
+         & 27.8238124532066990_dp, 27.5546177022771985_dp, 27.2951674857142983_dp, 27.0467125915355986_dp, &
+         & 26.8103134649756001_dp, 26.5868378530226011_dp, 26.3769618294942987_dp, 26.1811735851206997_dp, &
+         & 25.9997794603443992_dp, 25.8329118072341011_dp, 25.6805383727041985_dp, 25.5424729857635988_dp, &
+         & 25.4183874001700012_dp, 25.3078241886906987_dp, 25.2102106073324990_dp, 25.1248733502464994_dp, &
+         & 25.0510541020428015_dp, 24.9879257675255992_dp, 24.9346092227991996_dp, 24.8901903896344017_dp, &
+         & 24.8537373903331016_dp, 24.8243174966533999_dp, 24.8010135474650006_dp, 24.7829394795598006_dp, &
+         & 24.7692545981888017_dp, 24.7591762117023002_dp, 24.7519902705580996_dp, 24.7470596862344010_dp, &
+         & 24.7438300600783982_dp, 24.7418326242139983_dp, 24.7406842831853986_dp, 24.7400847416875997_dp, &
+         & 24.7398108053138017_dp, 24.7397080421750992_dp, 24.7396800880957990_dp, 24.7396759621317983_dp, &
+         & 24.7396756497261983_dp, 24.7396701154931016_dp, 24.7396326202498997_dp, 24.7394947837751005_dp, &
+         & 24.7391273623835986_dp, 24.7383232698750994_dp, 24.7367833373665995_dp, 24.7341053844208005_dp, &
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+         & 0.9176049314665560_dp, 0.9111208228778200_dp, 0.9041461041339010_dp, 0.8967152405782240_dp, &
+         & 0.8888701797249400_dp, 0.8806592725027900_dp, 0.8721360847614860_dp, 0.8633581617405000_dp, &
+         & 0.8543857979667070_dp, 0.8452808521533300_dp, 0.8361056337298080_dp, 0.8269218766394250_dp, &
+         & 0.8177898080583430_dp, 0.8087673148336310_dp, 0.7999092081170081_dp, 0.7912665859489680_dp, &
+         & 0.7828862934861790_dp, 0.7748104804712600_dp, 0.7670762550566930_dp, 0.7597154321674040_dp, &
+         & 0.7527543733792830_dp, 0.7462139140482260_dp, 0.7401093723773470_dp, 0.7344506344082830_dp, &
+         & 0.7292423086172590_dp, 0.7244839438449380_dp, 0.7201703045898500_dp, 0.7162916981105100_dp, &
+         & 0.7128343481755340_dp, 0.7097808105549530_dp, 0.7071104253720860_dp, 0.7047998011849760_dp, &
+         & 0.7028233251276110_dp, 0.7011536926410070_dp, 0.6997624493191950_dp, 0.6986205362743620_dp, &
+         & 0.6976988292945520_dp, 0.6969686610498300_dp, 0.6964023148264360_dp, 0.6959734778534070_dp, &
+         & 0.6956576423387230_dp, 0.6954324429295230_dp, 0.6952779204915560_dp, 0.6951767038647320_dp, &
+         & 0.6951141035411870_dp, 0.6950781139344780_dp, 0.6950593239315380_dp, 0.6950507385817910_dp, &
+         & 0.6950475179138780_dp, 0.6950466418134700_dp, 0.6950465125028560_dp, 0.6950465024936890_dp, &
+         & 0.6950463223008190_dp, 0.6950451014675640_dp, 0.6950406135550580_dp, 0.6950286504254420_dp, &
+         & 0.6950024693956680_dp, 0.6949523295408180_dp, 0.6948651357529700_dp, 0.6947242069792030_dp, &
+         & 0.6945091825227220_dp, 0.6941960773211950_dp, 0.6937574936130840_dp, 0.6931629922585780_dp, &
+         & 0.6923796221120990_dp, 0.6913726002259249_dp, 0.6901061293698870_dp, 0.6885443325767610_dp, &
+         & 0.6866522775043720_dp, 0.6843970568175880_dp, 0.6817488851202070_dp, 0.6786821688407580_dp, &
+         & 0.6751765035021010_dp, 0.6712175534638550_dp, 0.6667977727851170_dp, 0.6619169323004930_dp, &
+         & 0.6565824270082320_dp, 0.6508093488191800_dp, 0.6446203217598661_dp, 0.6380451088842780_dp, &
+         & 0.6311200114350440_dp, 0.6238870903113990_dp, 0.6163932469597740_dp, 0.6086892049788090_dp, &
+         & 0.6008284349126710_dp, 0.5928660630813880_dp, 0.5848578013240910_dp, 0.5768589288512660_dp, &
+         & 0.5689233507594980_dp, 0.5611027508827320_dp, 0.5534458501644220_dp, 0.5459977760876530_dp, &
+         & 0.5387995441521410_dp, 0.5318876490041050_dp, 0.5252937605247330_dp, 0.5190445187889240_dp, &
+         & 0.5131614211019270_dp, 0.5076607940999480_dp, 0.5025538439833640_dp, 0.4978467782053360_dp, &
+         & 0.4935409922683580_dp, 0.4896333156216240_dp, 0.4861163109510400_dp, 0.4829786213692980_dp, &
+         & 0.4802053601060340_dp, 0.4777785372309960_dp, 0.4756775176915300_dp, 0.4738795044960040_dp, &
+         & 0.4723600402392800_dp, 0.4710935193794090_dp, 0.4700537027986580_dp, 0.4692142253021390_dp, &
+         & 0.4685490859273290_dp, 0.4680331103658870_dp, 0.4676423745464720_dp, 0.4673545785842280_dp, &
+         & 0.4671493609377610_dp, 0.4670085437624610_dp, 0.4669163021008980_dp, 0.4668592516617240_dp, &
+         & 0.4668264524188000_dp, 0.4668093279953710_dp, 0.4668015036448740_dp, 0.4667985684511540_dp, &
+         & 0.4667977700063870_dp, 0.4667976521575810_dp, 0.4667976429616440_dp, 0.4667974764538980_dp, &
+         & 0.4667963483391520_dp, 0.4667922012676160_dp, 0.4667811466790040_dp, 0.4667569538881300_dp, &
+         & 0.4667106214390130_dp, 0.4666300477931880_dp, 0.4664998163310020_dp, 0.4663011072229180_dp, &
+         & 0.4660117459241420_dp, 0.4656063947855670_dp, 0.4650568904808380_dp, 0.4643327255700310_dp, &
+         & 0.4634016675468760_dp, 0.4622305032199710_dp, 0.4607858904241700_dp, 0.4590352931214450_dp, &
+         & 0.4569479703124060_dp, 0.4544959843014170_dp, 0.4516551902433790_dp, 0.4484061670285300_dp, &
+         & 0.4447350498202240_dp, 0.4406342271722180_dp, 0.4361028706189880_dp, 0.4311472717121700_dp, &
+         & 0.4257809701883630_dp, 0.4200246666455310_dp, 0.4139059230222980_dp, 0.4074586635823960_dp, &
+         & 0.4007224973749080_dp, 0.3937418898187770_dp, 0.3865652159087390_dp, 0.3792437305103180_dp, &
+         & 0.3718304923999800_dp, 0.3643792782915940_dp, 0.3569435212706790_dp, 0.3495753050259150_dp, &
+         & 0.3423244411951810_dp, 0.3352376522113260_dp, 0.3283578764465100_dp, 0.3217237064752330_dp, &
+         & 0.3153689652192920_dp, 0.3093224189550060_dp, 0.3036076210043600_dp, 0.2982428757015750_dp, &
+         & 0.2932413091423950_dp, 0.2886110313876600_dp, 0.2843553741831500_dp, 0.2804731887404230_dp, &
+         & 0.2769591894714200_dp, 0.2738043315055020_dp, 0.2709962120387600_dp, 0.2685194877865980_dp, &
+         & 0.2663563027876560_dp, 0.2644867223501920_dp, 0.2628891699283220_dp, 0.2615408641203840_dp, &
+         & 0.2604182528214170_dp, 0.2594974409263810_dp, 0.2587546070052440_dp, 0.2581664032273570_dp, &
+         & 0.2577103316842230_dp, 0.2573650893306050_dp, 0.2571108731941290_dp, 0.2569296374199580_dp, &
+         & 0.2568052941941800_dp, 0.2567238516526800_dp, 0.2566734834943740_dp, 0.2566445270943660_dp, &
+         & 0.2566294093280210_dp, 0.2566225019149190_dp, 0.2566199107088990_dp, 0.2566192058383270_dp, &
+         & 0.2566191018009080_dp, 0.2566190936136290_dp, 0.2566189444841030_dp, 0.2566179341100250_dp, &
+         & 0.2566142198744500_dp, 0.2566043191354840_dp, 0.2565826518610520_dp, 0.2565411573990490_dp, &
+         & 0.2564690011889820_dp, 0.2563523856519510_dp, 0.2561744776543900_dp, 0.2559154627303430_dp, &
+         & 0.2555527335365110_dp, 0.2550612166739870_dp, 0.2544138379321840_dp, 0.2535821211484830_dp, &
+         & 0.2525369102727670_dp, 0.2512491980327450_dp, 0.2496910380907170_dp, 0.2478365111572320_dp, &
+         & 0.2456627096766580_dp, 0.2431507009717890_dp, 0.2402864256886020_dp, 0.2370614875205920_dp, &
+         & 0.2334737918993500_dp, 0.2295279958243060_dp, 0.2252357382624480_dp, 0.2206156303258880_dp, &
+         & 0.2156929962389850_dp, 0.2104993692197540_dp, 0.2050717599306400_dp, 0.1994517280933510_dp, &
+         & 0.1936842991798780_dp, 0.1878167768205610_dp, 0.1818975069241020_dp, 0.1759746509731310_dp, &
+         & 0.1700950233916250_dp, 0.1643030415238870_dp, 0.1586398272548950_dp, 0.1531424875884890_dp, &
+         & 0.1478435887326630_dp, 0.1427708256130130_dp, 0.1379468773358070_dp, 0.1333894298058100_dp, &
+         & 0.1291113400111930_dp, 0.1251209126201400_dp, 0.1214222583774140_dp, 0.1180157049829870_dp, &
+         & 0.1148982341605700_dp, 0.1120639228877490_dp, 0.1095043716818790_dp, 0.1072091078988890_dp, &
+         & 0.1051659567885680_dp, 0.1033613772570940_dp, 0.1017807627189600_dp, 0.1004087099772380_dp, &
+         & 0.0992292607302261_dp, 0.0982261211023712_dp, 0.0973828646183676_dp, 0.0966831233979519_dp, &
+         & 0.0961107711825306_dp, 0.0956501002720316_dp, 0.0952859927210099_dp, 0.0950040843889894_dp, &
+         & 0.0947909188320608_dp, 0.0946340867142226_dp, 0.0945223455323614_dp, 0.0944457140770680_dp, &
+         & 0.0943955362300173_dp, 0.0943645094166996_dp, 0.0943466742262231_dp, 0.0943373632721176_dp, &
+         & 0.0943331091624486_dp, 0.0943315133220466_dp, 0.0943310792169285_dp, 0.0943310151440073_dp, &
+         & 0.0943310100571182_dp, 0.0943309168333357_dp, 0.0943302852298160_dp, 0.0943279634082543_dp, &
+         & 0.0943217744362386_dp, 0.0943082307926346_dp, 0.0942822960466145_dp, 0.0942372045429778_dp, &
+         & 0.0941643494879472_dp, 0.0940532492544222_dp, 0.0938916008367272_dp, 0.0936654279609357_dp, &
+         & 0.0933593291624462_dp, 0.0929568279709443_dp, 0.0924408230659211_dp, 0.0917941308786041_dp, &
+         & 0.0910001067805482_dp, 0.0900433240673522_dp, 0.0889102829630346_dp, 0.0875901155487853_dp, &
+         & 0.0860752476747990_dp, 0.0843619763748649_dp, 0.0824509217963438_dp, 0.0803473166821291_dp, &
+         & 0.0780611041462294_dp, 0.0756068255926152_dp, 0.0730032943933807_dp, 0.0702730661955329_dp, &
+         & 0.0674417319748386_dp, 0.0645370735732627_dp, 0.0615881319031075_dp, 0.0586242440536253_dp, &
+         & 0.0556741064965749_dp, 0.0527649173931053_dp, 0.0499216422532172_dp, 0.0471664350489647_dp, &
+         & 0.0445182328579961_dp, 0.0419925278636200_dp, 0.0396013075801847_dp, 0.0373531436897352_dp, &
+         & 0.0352534025892624_dp, 0.0333045468811406_dp, 0.0315064963734812_dp, 0.0298570191465899_dp, &
+         & 0.0283521271491622_dp, 0.0269864558330468_dp, 0.0257536127983187_dp, 0.0246464857204103_dp, &
+         & 0.0236575045597149_dp, 0.0227788569724083_dp, 0.0220026588588524_dp, 0.0213210841238407_dp, &
+         & 0.0207264590720726_dp, 0.0202113275509888_dp, 0.0197684931190096_dp, 0.0193910442858041_dp, &
+         & 0.0190723683517859_dp, 0.0188061586519481_dp, 0.0185864191499832_dp, 0.0184074693864886_dp, &
+         & 0.0182639518009893_dp, 0.0181508424669232_dp, 0.0180634653407168_dp, 0.0179975092805122_dp, &
+         & 0.0179490463793925_dp, 0.0179145496288342_dp, 0.0178909076133209_dp, 0.0178754338566449_dp, &
+         & 0.0178658685956989_dp, 0.0178603711276608_dp, 0.0178575014200888_dp, 0.0178561903334185_dp, &
+         & 0.0178556985167759_dp, 0.0178555647323435_dp, 0.0178555449860980_dp, 0.0178555434040462_dp, &
+         & 0.0178555142302983_dp, 0.0178553165747815_dp, 0.0178545899862144_dp, 0.0178526532754901_dp, &
+         & 0.0178484153776211_dp, 0.0178403013889152_dp, 0.0178261976415754_dp, 0.0178034198073078_dp, &
+         & 0.0177687081182327_dp, 0.0177182537379466_dp, 0.0176477599603047_dp, 0.0175525410917601_dp, &
+         & 0.0174276604444259_dp, 0.0172681067312652_dp, 0.0170690053083007_dp, 0.0168258572669728_dp, &
+         & 0.0165347956039525_dp, 0.0161928439982120_dp, 0.0157981606347093_dp, 0.0153502476197289_dp, &
+         & 0.0148501063885718_dp, 0.0143003215135664_dp, 0.0137050596239732_dp, 0.0130699765442941_dp, &
+         & 0.0124020336667670_dp, 0.0117092330935051_dp, 0.0110002891017231_dp, 0.0102842598727122_dp, &
+         & 0.0095701672393460_dp, 0.0088666328803271_dp, 0.0081815568463739_dp, 0.0075218589781514_dp, &
+         & 0.0068932965191735_dp, 0.0063003631390686_dp, 0.0057462667957964_dp, 0.0052329773416417_dp, &
+         & 0.0047613301645910_dp, 0.0043311697218442_dp, 0.0039415164707108_dp, 0.0035907420626344_dp, &
+         & 0.0032767402093086_dp, 0.0029970837866386_dp, 0.0027491620073121_dp, 0.0025302944779924_dp, &
+         & 0.0023378214229197_dp, 0.0021691711956677_dp, 0.0020219074155392_dp, 0.0018937587315335_dp, &
+         & 0.0017826344468901_dp, 0.0016866291539159_dp, 0.0016040192463791_dp, 0.0015332537899226_dp, &
+         & 0.0014729418104906_dp, 0.0014218376515984_dp, 0.0013788256823517_dp, 0.0013429053185163_dp, &
+         & 0.0013131770516921_dp, 0.0012888299601954_dp, 0.0012691309910764_dp, 0.0012534161483586_dp, &
+         & 0.0012410835890009_dp, 0.0012315885124323_dp, 0.0012244396297163_dp, 0.0012191969150379_dp, &
+         & 0.0012154702805702_dp, 0.0012129187776395_dp, 0.0012112499185975_dp, 0.0012102187340162_dp, &
+         & 0.0012096262299224_dp, 0.0012093169835339_dp, 0.0012091757077855_dp, 0.0012091227138526_dp, &
+         & 0.0012091082985464_dp, 0.0012091061708901_dp, 0.0012091059988180_dp, 0.0012091028057029_dp, &
+         & 0.0012090811720782_dp, 0.0012090016473891_dp, 0.0012087896855277_dp, 0.0012083259225406_dp, &
+         & 0.0012074381836911_dp, 0.0012058957205312_dp, 0.0012034062363284_dp, 0.0011996163124692_dp, &
+         & 0.0011941158747462_dp, 0.0011864473038301_dp, 0.0011761196655442_dp, 0.0011626282796442_dp, &
+         & 0.0011454794436432_dp, 0.0011242195807242_dp, 0.0010984674241428_dp, 0.0010679471521300_dp, &
+         & 0.0010325197575227_dp, 0.0009922095039130_dp, 0.0009472222219529_dp, 0.0008979525414361_dp, &
+         & 0.0008449779816502_dp, 0.0007890390904564_dp, 0.0007310063860473_dp, 0.0006718364835052_dp, &
+         & 0.0006125212078913_dp, 0.0005540344458623_dp, 0.0004972817825859_dp, 0.0004430575373533_dp, &
+         & 0.0003920127279642_dp, 0.0003446359855346_dp, 0.0003012477901336_dp, 0.0002620068459933_dp, &
+         & 0.0002269262064942_dp, 0.0001958961341231_dp, 0.0001687106239956_dp, 0.0001450946946520_dp, &
+         & 1.2472989763523401e-04_dp, 1.0727635368112900e-04_dp, 9.2390730067393206e-05_dp, 7.9740094932390107e-05_dp, &
+         & 6.9011613994973700e-05_dp, 5.9918479692555600e-05_dp, 5.2203094263347800e-05_dp, 4.5638380804291501e-05_dp, &
+         & 4.0027435055378599e-05_dp, 3.5201792165651100e-05_dp, 3.1019226156558903e-05_dp, 2.7361800022163199e-05_dp, &
+         & 2.4133876934229199e-05_dp, 2.1259573564691399e-05_dp, 1.8679866883530802e-05_dp, 1.6349883196653499e-05_dp, &
+         & 1.4236460522454300e-05_dp, 1.2315786833028099e-05_dp, 1.0571100780509800e-05_dp, 8.9906278333273804e-06_dp, &
+         & 7.5658673708289800e-06_dp, 6.2902272830456198e-06_dp, 5.1579703921333896e-06_dp, 4.1634474357010697e-06_dp, &
+         & 3.3005867123847599e-06_dp, 2.5625934867434799e-06_dp, 1.9418072056964800e-06_dp, 1.4296728210183599e-06_dp, &
+         &  1.0167940232008700e-06_dp, 6.9304508087952896e-07_dp, 4.4772325225039801e-07_dp, -2.1316282072802999e-14_dp, &
+         & -1.4210854715202001e-14_dp, -2.1316282072802999e-14_dp, -7.1054273576010003e-15_dp, -7.1054273576010003e-15_dp, &
+         & -7.1054273576010003e-15_dp &
+         &]
+      case (64)
+         out = [&
+         & 64.0000000000000000_dp, 63.9999999341264996_dp, 63.9999978971862973_dp, 63.9999840965938986_dp, &
+         & 63.9999333638121968_dp, 63.9997981261997992_dp, 63.9995021485812998_dp, 63.9989352646422986_dp, &
+         & 63.9979492879023013_dp, 63.9963552556227029_dp, 63.9939221178738009_dp, 63.9903769397656035_dp, &
+         & 63.9854066394495007_dp, 63.9786612399918013_dp, 63.9697585716511981_dp, 63.9582903242556000_dp, &
+         & 63.9438293185682980_dp, 63.9259378412861992_dp, 63.9041768701768973_dp, 63.8781160023907972_dp, &
+         & 63.8473438878418023_dp, 63.8114789579413966_dp, 63.7701802252517993_dp, 63.7231579101050016_dp, &
+         & 63.6701836259056009_dp, 63.6110998279375011_dp, 63.5458282056085011_dp, 63.4743766816578017_dp, &
+         & 63.3968446812381998_dp, 63.3134263556871986_dp, 63.2244114947497025_dp, 63.1301839380017000_dp, &
+         & 63.0312173979962012_dp, 62.9280687267650976_dp, 62.8213687831458003_dp, 62.7118111787821988_dp, &
+         & 62.6001392838270974_dp, 62.4871319499047004_dp, 62.3735884519668033_dp, 62.2603131607806972_dp, &
+         & 62.1481004364563034_dp, 62.0377201864186034_dp, 61.9299044662474998_dp, 61.8253354270762969_dp, &
+         & 61.7246348363281996_dp, 61.6283553255219019_dp, 61.5369734537633022_dp, 61.4508846204561010_dp, &
+         & 61.3703998160722008_dp, 61.2957441646145966_dp, 61.2270571840108033_dp, 61.1643946690954010_dp, &
+         & 61.1077320841515998_dp, 61.0569693365410018_dp, 61.0119367885654000_dp, 60.9724023506633017_dp, &
+         & 60.9380794851009000_dp, 60.9086359356423017_dp, 60.8837029857913024_dp, 60.8628850368406020_dp, &
+         & 60.8457692880797012_dp, 60.8319352960927020_dp, 60.8209641891072010_dp, 60.8124473167002009_dp, &
+         & 60.8059941255067997_dp, 60.8012390683135990_dp, 60.7978473771143015_dp, 60.7955195600872997_dp, &
+         & 60.7939945173309013_dp, 60.7930512095702014_dp, 60.7925088566112990_dp, 60.7922256865307986_dp, &
+         & 60.7920963008233031_dp, 60.7920477632987968_dp, 60.7920345598699967_dp, 60.7920326110699989_dp, &
+         & 60.7920323554285034_dp, 60.7920263992890000_dp, 60.7919860455491019_dp, 60.7918377006598973_dp, &
+         & 60.7914422655566966_dp, 60.7905768548837031_dp, 60.7889194492219005_dp, 60.7860370795797991_dp, &
+         & 60.7813780624174029_dp, 60.7742687104103965_dp, 60.7639148388063006_dp, 60.7494082689451034_dp, &
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+         & 0.0000000000000000_dp &
+         &]
+      case (65)
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+         & 53.2373764139117966_dp, 53.1418201231228977_dp, 53.0295390125892965_dp, 52.8994096743846995_dp, &
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+         & 43.6978974724251970_dp, 43.6916849285225979_dp, 43.6876153983009985_dp, 43.6850984269157010_dp, &
+         & 43.6836513740916033_dp, 43.6828958692802019_dp, 43.6825506699629003_dp, 43.6824211733073966_dp, &
+         & 43.6823859470325999_dp, 43.6823807477066026_dp, 43.6823803306563008_dp, 43.6823726339636025_dp, &
+         & 43.6823204877308982_dp, 43.6821287925619970_dp, 43.6816178028434976_dp, 43.6804995103886000_dp, &
+         & 43.6783578313997012_dp, 43.6746333862340990_dp, 43.6686135652799976_dp, 43.6594284627161997_dp, &
+         & 43.6460531306071999_dp, 43.6273164552154995_dp, 43.6019167819477005_dp, 43.5684442123557005_dp, &
+         & 43.5254092656812972_dp, 43.4712773416791975_dp, 43.4045081485264035_dp, 43.3235989822829026_dp, &
+         & 43.2271304803607990_dp, 43.1138132425707994_dp, 42.9825335433954976_dp, 42.8323962712778012_dp, &
+         & 42.6627632437362010_dp, 42.4732851720106979_dp, 42.2639257857309971_dp, 42.0349769643639988_dp, &
+         & 41.7870641335462025_dp, 41.5211416378375020_dp, 41.2384782608186029_dp, 40.9406334962526017_dp, &
+         & 40.6294255568486022_dp, 40.3068924278762992_dp, 39.9752475278380999_dp, 39.6368317255098006_dp, &
+         & 39.2940635737716022_dp, 38.9493896386459966_dp, 38.6052367059343027_dp, 38.2639674260500016_dp, &
+         & 37.9278406212090999_dp, 37.5989770680318003_dp, 37.2793311439782968_dp, 36.9706683515103975_dp, &
+         & 36.6745484550651994_dp, 36.3923137986641976_dp, 36.1250823034808022_dp, 35.8737446450910014_dp, &
+         & 35.6389651466752966_dp, 35.4211859718267021_dp, 35.2206342448450016_dp, 35.0373317630162973_dp, &
+         & 34.8711069954023003_dp, 34.7216090884183970_dp, 34.5883236211764000_dp, 34.4705898724411028_dp, &
+         & 34.3676193739237021_dp, 34.2785155288289971_dp, 34.2022940680222973_dp, 34.1379040981136015_dp, &
+         & 34.0842494671107019_dp, 34.0402101367172989_dp, 34.0046632099800021_dp, 33.9765032239738005_dp, &
+         & 33.9546612852300029_dp, 33.9381226061983980_dp, 33.9259419990561000_dp, 33.9172569022526034_dp, &
+         & 33.9112975572854012_dp, 33.9073940183790015_dp, 33.9049797640764012_dp, 33.9035917834545018_dp, &
+         & 33.9028671254825014_dp, 33.9025360216712031_dp, 33.9024118129418994_dp, 33.9023780251315969_dp, &
+         & 33.9023730381206008_dp, 33.9023726534744014_dp, 33.9023657464620030_dp, 33.9023189504357987_dp, &
+         & 33.9021469232778969_dp, 33.9016883619158023_dp, 33.9006848109878973_dp, 33.8987628885951011_dp, &
+         & 33.8954206422071991_dp, 33.8900186641320005_dp, 33.8817764987521031_dp, 33.8697747603447965_dp, &
+         & 33.8529632470823998_dp, 33.8301751799396015_dp, 33.8001475118825994_dp, 33.7615470421753017_dp, &
+         & 33.7130018355916974_dp, 33.6531371936760024_dp, 33.5806151666285970_dp, 33.4941763461582980_dp, &
+         & 33.3926824615910007_dp, 33.2751581352936014_dp, 33.1408300600019032_dp, 32.9891618572179013_dp, &
+         & 32.8198829733952024_dp, 32.6330101715953020_dp, 32.4288604738031978_dp, 32.2080547875206022_dp, &
+         & 31.9715118870667006_dp, 31.7204328882415005_dp, 31.4562768255174987_dp, 31.1807283840683986_dp, &
+         & 30.8956592253042999_dp, 30.6030846457916006_dp, 30.3051174997621011_dp, 30.0039213750346008_dp, &
+         & 29.7016649316171986_dp, 29.4004790967798009_dp, 29.1024184822523999_dp, 28.8094279862282008_dp, &
+         & 28.5233151129264009_dp, 28.2457281351695997_dp, 27.9781398829841983_dp, 27.7218366915215988_dp, &
+         & 27.4779118947648016_dp, 27.2472632008907993_dp, 27.0305933116414998_dp, 26.8284132260277985_dp, &
+         & 26.6410477721234003_dp, 26.4686430176465990_dp, 26.3111753050548991_dp, 26.1684617313724992_dp, &
+         & 26.0401719440612993_dp, 25.9258411529071005_dp, 25.8248842671007992_dp, 25.7366110600242983_dp, &
+         & 25.6602422450303997_dp, 25.5949263165771015_dp, 25.5397569749470001_dp, 25.4937909118910007_dp, &
+         & 25.4560656915972991_dp, 25.4256174195424016_dp, 25.4014978546235000_dp, 25.3827905913537002_dp, &
+         & 25.3686259226514004_dp, 25.3581939932696017_dp, 25.3507558717458004_dp, 25.3456522062678999_dp, &
+         & 25.3423091869345001_dp, 25.3402416118664000_dp, 25.3390529442993007_dp, 25.3384323477100004_dp, &
+         & 25.3381487908618013_dp, 25.3380424187140001_dp, 25.3380134828931993_dp, 25.3380092120261011_dp, &
+         & 25.3380088886489006_dp, 25.3380031600545017_dp, 25.3379643479834016_dp, 25.3378216706903991_dp, &
+         & 25.3374413453033007_dp, 25.3366090119477008_dp, 25.3350149918930008_dp, 25.3322429710357007_dp, &
+         & 25.3277626305441004_dp, 25.3209266656593996_dp, 25.3109725391695015_dp, 25.2970292047513006_dp, &
+         & 25.2781289038267012_dp, 25.2532239852046985_dp, 25.2212085188853017_dp, 25.1809442762667004_dp, &
+         & 25.1312904348475996_dp, 25.0711361470379011_dp, 24.9994349049690001_dp, 24.9152394548503011_dp, &
+         & 24.8177358858115014_dp, 24.7062754587894986_dp, 24.5804027662944016_dp, 24.4398789318499006_dp, &
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+         & 0.4228727443975230_dp, 0.4151391247468720_dp, 0.4078285954509080_dp, 0.4009587955100640_dp, &
+         & 0.3945411911309260_dp, 0.3885815802156430_dp, 0.3830806208161160_dp, 0.3780343612038170_dp, &
+         & 0.3734347556766830_dp, 0.3692701561188020_dp, 0.3655257743731260_dp, 0.3621841145476740_dp, &
+         & 0.3592253774052240_dp, 0.3566278410156940_dp, 0.3543682229434490_dp, 0.3524220294908530_dp, &
+         & 0.3507638970361310_dp, 0.3493679294034560_dp, 0.3482080336191160_dp, 0.3472582544748950_dp, &
+         & 0.3464931061955810_dp, 0.3458878973483050_dp, 0.3454190431180000_dp, 0.3450643573712280_dp, &
+         & 0.3448033157042830_dp, 0.3446172800530010_dp, 0.3444896755225530_dp, 0.3444061109090340_dp, &
+         & 0.3443544359063680_dp, 0.3443247301281080_dp, 0.3443092216777900_dp, 0.3443021358855560_dp, &
+         & 0.3442994777840060_dp, 0.3442987547181960_dp, 0.3442986479952740_dp, 0.3442986397344900_dp, &
+         & 0.3442984910173410_dp, 0.3442974834381400_dp, 0.3442937794899590_dp, 0.3442839062739440_dp, &
+         & 0.3442622997431500_dp, 0.3442209235674910_dp, 0.3441489791734540_dp, 0.3440327223926260_dp, &
+         & 0.3438554007811230_dp, 0.3435973238393760_dp, 0.3432360758084340_dp, 0.3427468771600250_dp, &
+         & 0.3421030960928560_dp, 0.3412769051524980_dp, 0.3402400705368360_dp, 0.3389648529889510_dp, &
+         & 0.3374249899349590_dp, 0.3355967194857780_dp, 0.3334597990865260_dp, 0.3309984660873370_dp, &
+         & 0.3282022853920950_dp, 0.3250668314701950_dp, 0.3215941588205170_dp, 0.3177930263376110_dp, &
+         & 0.3136788561897250_dp, 0.3092734254421860_dp, 0.3046043069697080_dp, 0.2997040932402090_dp, &
+         & 0.2946094504766280_dp, 0.2893600600692850_dp, 0.2839975080955240_dp, 0.2785641823036830_dp, &
+         & 0.2731022295314740_dp, 0.2676526164148920_dp, 0.2622543239080390_dp, 0.2569436931548380_dp, &
+         & 0.2517539280506330_dp, 0.2467147494630520_dp, 0.2418521881776030_dp, 0.2371884984042080_dp, &
+         & 0.2327421710027120_dp, 0.2285280251001470_dp, 0.2245573579856310_dp, 0.2208381355287230_dp, &
+         & 0.2173752083481300_dp, 0.2141705421240090_dp, 0.2112234534895520_dp, 0.2085308456705800_dp, &
+         & 0.2060874403713200_dp, 0.2038860042949440_dp, 0.2019175701304050_dp, 0.2001716528490790_dp, &
+         & 0.1986364627621530_dp, 0.1972991170323010_dp, 0.1961458512492270_dp, 0.1951622323061460_dp, &
+         & 0.1943333731962440_dp, 0.1936441495257530_dp, 0.1930794165749890_dp, 0.1926242246960470_dp, &
+         & 0.1922640297974710_dp, 0.1919848947221400_dp, 0.1917736765578720_dp, 0.1916181944210110_dp, &
+         & 0.1915073720822850_dp, 0.1914313500117690_dp, 0.1913815620181940_dp, 0.1913507726299460_dp, &
+         & 0.1913330726601860_dp, 0.1913238319334740_dp, 0.1913196098267920_dp, 0.1913180259781480_dp, &
+         & 0.1913175951337820_dp, 0.1913175315420830_dp, 0.1913175265799230_dp, 0.1913174367316940_dp, &
+         & 0.1913168279972840_dp, 0.1913145902339720_dp, 0.1913086252460940_dp, 0.1912955713586230_dp, &
+         & 0.1912705729150870_dp, 0.1912271045188870_dp, 0.1911568590569170_dp, 0.1910497076051310_dp, &
+         & 0.1908937381127770_dp, 0.1906753781646420_dp, 0.1903796049855800_dp, 0.1899902430594980_dp, &
+         & 0.1894903462160470_dp, 0.1888626568213280_dp, 0.1880901299338260_dp, 0.1871565052456250_dp, &
+         & 0.1860469047423690_dp, 0.1847484298262290_dp, 0.1832507287385570_dp, 0.1815465040545940_dp, &
+         & 0.1796319312224600_dp, 0.1775069627744590_dp, 0.1751754988440410_dp, 0.1726454125440280_dp, &
+         & 0.1699284278773800_dp, 0.1670398572445180_dp, 0.1639982142908990_dp, 0.1608247249146760_dp, &
+         & 0.1575427640660370_dp, 0.1541772482136140_dp, 0.1507540130936890_dp, 0.1472992039815040_dp, &
+         & 0.1438387017896190_dp, 0.1403976033994500_dp, 0.1369997693106340_dp, 0.1336674464236720_dp, &
+         & 0.1304209689764090_dp, 0.1272785366641640_dp, 0.1242560659492680_dp, 0.1213671084530860_dp, &
+         & 0.1186228289166280_dp, 0.1160320343093420_dp, 0.1136012451900400_dp, 0.1113348004115270_dp, &
+         & 0.1092349867579400_dp, 0.1073021860292160_dp, 0.1055350332627820_dp, 0.1039305810206490_dp, &
+         & 0.1024844658579980_dp, 0.1011910742061420_dp, 0.1000437059408480_dp, 0.0990347348267591_dp, &
+         & 0.0981557657645880_dp, 0.0973977892410574_dp, 0.0967513335677239_dp, 0.0962066154000070_dp, &
+         & 0.0957536887004693_dp, 0.0953825918005009_dp, 0.0950834915828551_dp, 0.0948468231252946_dp, &
+         & 0.0946634224712000_dp, 0.0945246496215901_dp, 0.0944224984232420_dp, 0.0943496898360365_dp, &
+         & 0.0942997451254683_dp, 0.0942670358679010_dp, 0.0942468082516683_dp, 0.0942351799923671_dp, &
+         & 0.0942291091704419_dp, 0.0942263354022685_dp, 0.0942252948726292_dp, 0.0942250118238945_dp, &
+         & 0.0942249700465823_dp, 0.0942249667588868_dp, 0.0942249068743308_dp, 0.0942245011479486_dp, &
+         & 0.0942230096614907_dp, 0.0942190339549711_dp, 0.0942103334664921_dp, 0.0941936719408716_dp, &
+         & 0.0941647003826915_dp, 0.0941178826295328_dp, 0.0940464690146143_dp, 0.0939425228154818_dp, &
+         & 0.0937970031449566_dp, 0.0935999065545872_dp, 0.0933404677879963_dp, 0.0930074178286446_dp, &
+         & 0.0925892946050482_dp, 0.0920747985796595_dp, 0.0914531820878182_dp, 0.0907146579997971_dp, &
+         & 0.0898508103596640_dp, 0.0888549874844529_dp, 0.0877226569292446_dp, 0.0864517020226430_dp, &
+         & 0.0850426415172336_dp, 0.0834987572836070_dp, 0.0818261197482002_dp, 0.0800335066136739_dp, &
+         & 0.0781322168368916_dp, 0.0761357882944509_dp, 0.0740596334098882_dp, 0.0719206116510804_dp, &
+         & 0.0697365608298099_dp, 0.0675258104702721_dp, 0.0653067003107708_dp, 0.0630971255363448_dp, &
+         & 0.0609141276670329_dp, 0.0587735461579655_dp, 0.0566897406864229_dp, 0.0546753884199944_dp, &
+         & 0.0527413552484575_dp, 0.0508966360901155_dp, 0.0491483570752109_dp, 0.0475018311717292_dp, &
+         & 0.0459606576146427_dp, 0.0445268542707709_dp, 0.0432010111207006_dp, 0.0419824537095934_dp, &
+         & 0.0408694074483265_dp, 0.0398591564528772_dp, 0.0389481931804738_dp, 0.0381323567306140_dp, &
+         & 0.0374069585170815_dp, 0.0367668945434616_dp, 0.0362067445214223_dp, 0.0357208592115796_dp, &
+         & 0.0353034380797510_dp, 0.0349485994670573_dp, 0.0346504455008159_dp, 0.0344031237080884_dp, &
+         & 0.0342008865606829_dp, 0.0340381497219937_dp, 0.0339095489190413_dp, 0.0338099948641286_dp, &
+         & 0.0337347251634696_dp, 0.0336793515910898_dp, 0.0336399008492521_dp, 0.0336128468807715_dp, &
+         & 0.0335951325913157_dp, 0.0335841793817906_dp, 0.0335778832023692_dp, 0.0335745962650407_dp, &
+         & 0.0335730944917429_dp, 0.0335725311341548_dp, 0.0335723778873529_dp, 0.0335723552668838_dp, &
+         & 0.0335723534754209_dp, 0.0335723205655540_dp, 0.0335720975975562_dp, 0.0335712779568809_dp, &
+         & 0.0335690931496657_dp, 0.0335643120443336_dp, 0.0335551567879975_dp, 0.0335392392305778_dp, &
+         & 0.0335135216643891_dp, 0.0334743053100226_dp, 0.0334172498636178_dp, 0.0333374267636373_dp, &
+         & 0.0332294081964619_dp, 0.0330873925627628_dp, 0.0329053656072205_dp, 0.0326772944498259_dp, &
+         & 0.0323973493066632_dp, 0.0320601452800133_dp, 0.0316609938582104_dp, 0.0311961519053057_dp, &
+         & 0.0306630537847354_dp, 0.0300605114664023_dp, 0.0293888672169658_dp, 0.0286500856049514_dp, &
+         & 0.0278477758172215_dp, 0.0269776512960647_dp, 0.0260663685300671_dp, 0.0251113411267596_dp, &
+         & 0.0241215220061122_dp, 0.0231065882272077_dp, 0.0220766160270784_dp, 0.0210417488467414_dp, &
+         & 0.0200118780366694_dp, 0.0189963540687899_dp, 0.0180037425245274_dp, 0.0170416344566036_dp, &
+         & 0.0161165157843470_dp, 0.0152336959076251_dp, 0.0143972920085389_dp, 0.0136102624615404_dp, &
+         & 0.0128744803181604_dp, 0.0121908362376075_dp, 0.0115593599348784_dp, 0.0109793503136899_dp, &
+         & 0.0104495064097421_dp, 0.0099680532381967_dp, 0.0095328580895568_dp, 0.0091415338770133_dp, &
+         & 0.0087915272846004_dp, 0.0084801909373908_dp, 0.0082048403484265_dp, 0.0079627974937750_dp, &
+         & 0.0077514232581564_dp, 0.0075681408397230_dp, 0.0074104518901379_dp, 0.0072759469900490_dp, &
+         & 0.0071623120465603_dp, 0.0070673322041017_dp, 0.0069888947306822_dp, 0.0069249920403536_dp, &
+         & 0.0068737256046916_dp, 0.0068333110812375_dp, 0.0068020846163819_dp, 0.0067785099841870_dp, &
+         & 0.0067611860010288_dp, 0.0067488535016764_dp, 0.0067404010742109_dp, 0.0067348687350233_dp, &
+         & 0.0067314487822614_dp, 0.0067294831957980_dp, 0.0067284571411506_dp, 0.0067279883645171_dp, &
+         & 0.0067278125160897_dp, 0.0067277646815995_dp, 0.0067277576213485_dp, 0.0067277570556712_dp, &
+         & 0.0067277466239233_dp, 0.0067276759475874_dp, 0.0067274161387303_dp, 0.0067267236205169_dp, &
+         & 0.0067252082479428_dp, 0.0067223068432298_dp, 0.0067172635129538_dp, 0.0067091181529833_dp, &
+         & 0.0066967045718229_dp, 0.0066786596349573_dp, 0.0066534446971787_dp, 0.0066193802926904_dp, &
+         & 0.0065746945468845_dp, 0.0065175850295418_dp, 0.0064462927957578_dp, 0.0063591862051879_dp, &
+         & 0.0062548508601310_dp, 0.0061321807813783_dp, 0.0059904648848033_dp, 0.0058294620877035_dp, &
+         & 0.0056494581410220_dp, 0.0054512977587393_dp, 0.0052363870078835_dp, 0.0050066633084356_dp, &
+         & 0.0047645335639288_dp, 0.0045127843025625_dp, 0.0042544704261047_dp, 0.0039927906227035_dp, &
+         & 0.0037309577473508_dp, 0.0034720722375994_dp, 0.0032190066455939_dp, 0.0029743094660972_dp, &
+         & 0.0027401354036556_dp, 0.0025182058851243_dp, 0.0023097985010736_dp, 0.0021157596641075_dp, &
+         & 0.0019365337243045_dp, 0.0017722041468176_dp, 0.0016225450951737_dp, 0.0014870815048908_dp, &
+         & 0.0013651523984777_dp, 0.0012559694759346_dp, 0.0011592736688613_dp, 0.0010728546080685_dp, &
+         & 0.0009960264134747_dp, 0.0009296019312472_dp, 0.0008707503572509_dp, 0.0008188601060368_dp, &
+         & 0.0007741572359805_dp, 0.0007357709147584_dp, 0.0007023524332936_dp, 0.0006733154919374_dp, &
+         & 0.0006480964847810_dp, 0.0006274039238718_dp, 0.0006103218925659_dp, 0.0005958661633940_dp, &
+         & 0.0005837463271234_dp, 0.0005736943408294_dp, 0.0005654704752232_dp, 0.0005588526061047_dp, &
+         & 0.0005536286131189_dp, 0.0005495939807219_dp, 0.0005465534642752_dp, 0.0005443248071089_dp, &
+         & 0.0005427425533924_dp, 0.0005416607105815_dp, 0.0005409539479047_dp, 0.0005405176249980_dp, &
+         & 0.0005402670649630_dp, 0.0005401363339956_dp, 0.0005400766213484_dp, 0.0005400542242313_dp, &
+         & 0.0005400481319811_dp, 0.0005400472327892_dp, 0.0005400471602286_dp, 0.0005400458156544_dp, &
+         & 0.0005400367059707_dp, 0.0005400032174663_dp, 0.0005399139469375_dp, 0.0005397185680636_dp, &
+         & 0.0005393443478283_dp, 0.0005386934391396_dp, 0.0005376410673534_dp, 0.0005360347401790_dp, &
+         & 0.0005336946435790_dp, 0.0005304153560246_dp, 0.0005259685161576_dp, 0.0005201045585750_dp, &
+         & 0.0005128194373896_dp, 0.0005043502181650_dp, 0.0004939389892655_dp, 0.0004814308263548_dp, &
+         & 0.0004667183007854_dp, 0.0004497531770937_dp, 0.0004305639869102_dp, 0.0004092418679704_dp, &
+         & 0.0003868403262430_dp, 0.0003634987185279_dp, 0.0003387210309143_dp, 0.0003129179873014_dp, &
+         & 0.0002867264168600_dp, 0.0002616736081080_dp, 0.0002367833767636_dp, 0.0002124535991328_dp, &
+         & 0.0001897696095767_dp, 0.0001686213538221_dp, 0.0001486204438237_dp, 0.0001305169353287_dp, &
+         & 1.1439802877077900e-04_dp, 9.9670666003248698e-05_dp, 8.6743669086786199e-05_dp, 7.5365518526382402e-05_dp, &
+         & 6.4929454907769495e-05_dp, 5.6258819924437403e-05_dp, 4.8632910591095397e-05_dp, 4.1555207346277698e-05_dp, &
+         & 3.5916166694960298e-05_dp, 3.0631286563220797e-05_dp, 2.4832550607811802e-05_dp, 1.9672410303428498e-05_dp, &
+         & 1.5318493382210400e-05_dp, 1.1020936725003601e-05_dp, 7.0484182259633599e-06_dp, 3.5629575023676799e-06_dp, &
+         & 2.8492551678027701e-06_dp, 1.9759366978178201e-06_dp, 4.2046794135330898e-07_dp, 1.5666368398115099e-06_dp, &
+         & 1.8605438043550700e-06_dp, 1.7311729294533500e-06_dp, 1.4569410495823800e-06_dp, 1.2170346224138501e-06_dp, &
+         & 1.0845941744719299e-06_dp, 1.0384382989059300e-06_dp, 1.0169053865638499e-06_dp, 9.7261965947836892e-07_dp, &
+         & 8.8890446647838004e-07_dp, 7.7121859476392295e-07_dp, 6.3477239109488405e-07_dp, 4.9582725125674198e-07_dp, &
+         & -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, -2.8421709430404001e-14_dp, -1.4210854715202001e-14_dp, &
+         & -1.4210854715202001e-14_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, &
+         & -2.8421709430404001e-14_dp &
+         &]
+      case (66)
+         out = [&
+         & 66.0000000000000000_dp, 65.9999999310423959_dp, 65.9999977987351940_dp, 65.9999833520166987_dp, &
+         & 65.9999302439896951_dp, 65.9997886747130025_dp, 65.9994788397302017_dp, 65.9988854147067059_dp, &
+         & 65.9978532747446991_dp, 65.9961846088102959_dp, 65.9936375466183023_dp, 65.9899263690115987_dp, &
+         & 65.9847233253808980_dp, 65.9776620351613019_dp, 65.9683424071010052_dp, 65.9563369717023988_dp, &
+         & 65.9411984903493931_dp, 65.9224686796645045_dp, 65.8996878710621985_dp, 65.8724054116403011_dp, &
+         & 65.8401906009209057_dp, 65.8026439454396979_dp, 65.7594084969478985_dp, 65.7101810182180941_dp, &
+         & 65.6547226932418937_dp, 65.5928690685304048_dp, 65.5245388844054020_dp, 65.4497414367747012_dp, &
+         & 65.3685821089492975_dp, 65.2812657368897931_dp, 65.1880975246588008_dp, 65.0894813106745005_dp, &
+         & 64.9859150957595944_dp, 64.8779838725900930_dp, 64.7663499311862978_dp, 64.6517409432497061_dp, &
+         & 64.5349362367557973_dp, 64.4167517512867960_dp, 64.2980242082421967_dp, 64.1795950371299995_dp, &
+         & 64.0622945728458006_dp, 63.9469269858025982_dp, 63.8342563355215020_dp, 63.7249940577969980_dp, &
+         & 63.6197881138691983_dp, 63.5192139534508016_dp, 63.4237673760668983_dp, 63.3338593188852030_dp, &
+         & 63.2498125541539977_dp, 63.1718602443175001_dp, 63.1001462758799008_dp, 63.0347272719466005_dp, &
+         & 62.9755761659737985_dp, 62.9225872039055005_dp, 62.8755822273366007_dp, 62.8343180759186026_dp, &
+         & 62.7984949327285022_dp, 62.7677654219682992_dp, 62.7417442547486033_dp, 62.7200182066410008_dp, &
+         & 62.7021562011763010_dp, 62.6877192675565027_dp, 62.6762701395872028_dp, 62.6673822671339025_dp, &
+         & 62.6606480219698980_dp, 62.6556858971475990_dp, 62.6521465230651984_dp, 62.6497173539215026_dp, &
+         & 62.6481259145565019_dp, 62.6471415387146990_dp, 62.6465755741636983_dp, 62.6462800762623004_dp, &
+         & 62.6461450577706032_dp, 62.6460944071778982_dp, 62.6460806289419025_dp, 62.6460785953013968_dp, &
+         & 62.6460783285306988_dp, 62.6460721130925009_dp, 62.6460300025660999_dp, 62.6458751995466017_dp, &
+         & 62.6454625494606034_dp, 62.6445594643261003_dp, 62.6428299079746012_dp, 62.6398220689625020_dp, &
+         & 62.6349602633801013_dp, 62.6275415131620008_dp, 62.6167371359507996_dp, 62.6015995592668020_dp, &
+         & 62.5810744338927023_dp, 62.5540179686314985_dp, 62.5192192413863026_dp, 62.4754270613526970_dp, &
+         & 62.4213807667881966_dp, 62.3558441467170965_dp, 62.2776414796275972_dp, 62.1856944975583019_dp, &
+         & 62.0790589242272972_dp, 61.9569591205871006_dp, 61.8188193245966033_dp, 61.6642900198703998_dp, &
+         & 61.4932681315319982_dp, 61.3059100357157973_dp, 61.1026367696687984_dp, 60.8841313050035993_dp, &
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+         & 9.6874940425095701e-07_dp &
+         &]
+      case (67)
+         out = [&
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+         & 55.0931664287722000_dp, 55.0931353360001026_dp, 55.0931307467699014_dp, 55.0931303416282034_dp, &
+         & 55.0931224030764994_dp, 55.0930686182091023_dp, 55.0928708991780027_dp, 55.0923438515331014_dp, &
+         & 55.0911904140539974_dp, 55.0889814179984967_dp, 55.0851398761221986_dp, 55.0789307103134007_dp, &
+         & 55.0694565090496013_dp, 55.0556597699224000_dp, 55.0363319249437026_dp, 55.0101292637760011_dp, &
+         & 54.9755956599431030_dp, 54.9311917672544965_dp, 54.8753300915802029_dp, 54.8064150650664033_dp, &
+         & 54.7228869698024027_dp, 54.6232682953955972_dp, 54.5062108939827965_dp, 54.3705421431970990_dp, &
+         & 54.2153082672370985_dp, 54.0398130165984014_dp, 53.8436500745383029_dp, 53.6267278332067008_dp, &
+         & 53.3892855378426034_dp, 53.1319001939239968_dp, 52.8554840267795996_dp, 52.5612726422785030_dp, &
+         & 52.2508043465833012_dp, 51.9258913499026988_dp, 51.5885838240138028_dp, 51.2411280233705995_dp, &
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+         & 48.0634696833209034_dp, 47.7473175175381002_dp, 47.4454817954132011_dp, 47.1592292884539006_dp, &
+         & 46.8895867217247968_dp, 46.6373394275649034_dp, 46.4030337558359989_dp, 46.1869828403525986_dp, &
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+         & 45.3765080368525986_dp, 45.2649266678073019_dp, 45.1683081084017033_dp, 45.0856111948422011_dp, &
+         & 45.0157167103676983_dp, 44.9574511787225006_dp, 44.9096107643707967_dp, 44.8709848412390002_dp, &
+         & 44.8403787564522034_dp, 44.8166352906651966_dp, 44.7986543068275012_dp, 44.7854100885556008_dp, &
+         & 44.7759659005443993_dp, 44.7694853579767980_dp, 44.7652402692215006_dp, 44.7626147139861033_dp, &
+         & 44.7611052335195012_dp, 44.7603171350661029_dp, 44.7599570432648974_dp, 44.7598219598956035_dp, &
+         & 44.7597852138964001_dp, 44.7597797902622005_dp, 44.7597793552195995_dp, 44.7597713264776971_dp, &
+         & 44.7597169305625968_dp, 44.7595169653124003_dp, 44.7589839305093022_dp, 44.7578173925002005_dp, &
+         & 44.7555833158713980_dp, 44.7516981853274984_dp, 44.7454186403697989_dp, 44.7358372287834030_dp, &
+         & 44.7218847498410028_dp, 44.7023395009462021_dp, 44.6758435584629012_dp, 44.6409260119931020_dp, &
+         & 44.5960328310348970_dp, 44.5395627770428035_dp, 44.4699084904277981_dp, 44.3855015942269020_dp, &
+         & 44.2848603824573033_dp, 44.1666384240449972_dp, 44.0296722371884002_dp, 43.8730260976267985_dp, &
+         & 43.6960320564814992_dp, 43.4983233698766014_dp, 43.2798597830124976_dp, 43.0409434530181016_dp, &
+         & 42.7822247136788008_dp, 42.5046973494016029_dp, 42.2096835219578992_dp, 41.8988089520561999_dp, &
+         & 41.5739693769880034_dp, 41.2372896715319968_dp, 40.8910773211135989_dp, 40.5377721592493998_dp, &
+         & 40.1798944029463030_dp, 39.8199930128038986_dp, 39.4605962492781970_dp, 39.1041659960835020_dp, &
+         & 38.7530570118399993_dp, 38.4094818158501994_dp, 38.0754814870160985_dp, 37.7529023156824977_dp, &
+         & 37.4433780243875987_dp, 37.1483171588852983_dp, 36.8688952160460985_dp, 36.6060510844085982_dp, &
+         & 36.3604873971999965_dp, 36.1326744204064028_dp, 35.9228571155968979_dp, 35.7310650312400000_dp, &
+         & 35.5571246914634003_dp, 35.4006741700246010_dp, 35.2611795591291965_dp, 35.1379530644640994_dp, &
+         & 35.0301724750120016_dp, 34.9369017645960014_dp, 34.8571125786911011_dp, 34.7897063437252001_dp, &
+         & 34.7335367079046975_dp, 34.6874319854787032_dp, 34.6502172348640016_dp, 34.6207355607574030_dp, &
+         & 34.5978681973279976_dp, 34.5805529096743030_dp, 34.5678002490558995_dp, 34.5587072177390979_dp, &
+         & 34.5524679436841993_dp, 34.5483810337563000_dp, 34.5458533646535031_dp, 34.5444001793376998_dp, &
+         & 34.5436414779296967_dp, 34.5432948192293026_dp, 34.5431647752980027_dp, 34.5431294001687021_dp, &
+         & 34.5431241788727021_dp, 34.5431237761561007_dp, 34.5431165446588011_dp, 34.5430675501989981_dp, &
+         & 34.5428874413562994_dp, 34.5424073371124010_dp, 34.5413566397214993_dp, 34.5393444247063002_dp, &
+         & 34.5358451539801976_dp, 34.5301893701893974_dp, 34.5215599282580001_dp, 34.5089942011274999_dp, &
+         & 34.4913925570628024_dp, 34.4675332417713989_dp, 34.4360936070320989_dp, 34.3956774079070016_dp, &
+         & 34.3448476456656024_dp, 34.2821641704296027_dp, 34.2062249882580005_dp, 34.1157099586218990_dp, &
+         & 34.0094253403556976_dp, 33.8863474694856990_dp, 33.7456637524879000_dp, 33.5868091516636014_dp, &
+         & 33.4094964374025025_dp, 33.2137386887357025_dp, 32.9998628331345003_dp, 32.7685134143111014_dp, &
+         & 32.5206462404793015_dp, 32.2575120669702997_dp, 31.9806309740984993_dp, 31.6917585791244001_dp, &
+         & 31.3928456344792011_dp, 31.0859928787055999_dp, 30.7734031920461995_dp, 30.4573331449312015_dp, &
+         & 30.1400459090843995_dp, 29.8237672403453011_dp, 29.5106458713320983_dp, 29.2027192175374992_dp, &
+         & 28.9018848563787998_dp, 28.6098778364186010_dp, 28.3282535528953012_dp, 28.0583757074074001_dp, &
+         & 27.8014087563589989_dp, 27.5583142305503017_dp, 27.3298503526997010_dp, 27.1165744629241985_dp, &
+         & 26.9188478590453002_dp, 26.7368427501099006_dp, 26.5705510964256000_dp, 26.4197951632129993_dp, &
+         & 26.2842396480153013_dp, 26.1634052571574003_dp, 26.0566836073517010_dp, 25.9633533180779992_dp, &
+         & 25.8825971408069009_dp, 25.8135199440046996_dp, 25.7551673394243004_dp, 25.7065446970136016_dp, &
+         & 25.6666362550542004_dp, 25.6344239918840984_dp, 25.6089058894520996_dp, 25.5891131911564997_dp, &
+         & 25.5741262410989982_dp, 25.5630884927628017_dp, 25.5552182950108993_dp, 25.5498181036996996_dp, &
+         & 25.5462808280357017_dp, 25.5440931003095990_dp, 25.5428353524700995_dp, 25.5421786884696012_dp, &
+         & 25.5418786518302987_dp, 25.5417660974963994_dp, 25.5417354799667002_dp, 25.5417309608826990_dp, &
+         & 25.5417306187112985_dp, 25.5417245571787994_dp, 25.5416834894020006_dp, 25.5415325198726002_dp, &
+         & 25.5411300902455984_dp, 25.5402493813773006_dp, 25.5385627128883002_dp, 25.5356295645520994_dp, &
+         & 25.5308887695061983_dp, 25.5236553429493007_dp, 25.5131223093824993_dp, 25.4983677734358984_dp, &
+         & 25.4783673405834996_dp, 25.4520118321093989_dp, 25.4181300530059993_dp, 25.3755161645364993_dp, &
+         & 25.3229609914398992_dp, 25.2592863680938002_dp, 25.1833814136439997_dp, 25.0942394418206014_dp, &
+         & 24.9909940771272012_dp, 24.8729530844422015_dp, 24.7396284387005991_dp, 24.5907612726622986_dp, &
+         & 24.4263405414401014_dp, 24.2466145193110982_dp, 24.0520945747298995_dp, 23.8435510248318003_dp, &
+         & 23.6220012219487003_dp, 23.3886903481437010_dp, 23.1450656758635986_dp, 22.8927452909985014_dp, &
+         & 22.6334824738230012_dp, 22.3691270979560990_dp, 22.1015855327657000_dp, 21.8327806012885013_dp, &
+         & 21.5646131233714016_dp, 21.2989264337250006_dp, 21.0374749976270010_dp, 20.7818978763285998_dp, &
+         & 20.5336973754189991_dp, 20.2942228148532990_dp, 20.0646590537959000_dp, 19.8460192230095984_dp, &
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+         & 0.5722696744241630_dp, 0.5710941688466560_dp, 0.5701158199243390_dp, 0.5693135857200250_dp, &
+         & 0.5686665649476340_dp, 0.5681543233833820_dp, 0.5677572051611151_dp, 0.5674566210233390_dp, &
+         & 0.5672353052840150_dp, 0.5670775333720290_dp, 0.5669692924069950_dp, 0.5668983983215130_dp, &
+         & 0.5668545545550639_dp, 0.5668293492352060_dp, 0.5668161899293980_dp, 0.5668101773664490_dp, &
+         & 0.5668079218517900_dp, 0.5668073082976119_dp, 0.5668072177383150_dp, 0.5668072107286410_dp, &
+         & 0.5668070845353270_dp, 0.5668062295573150_dp, 0.5668030865742960_dp, 0.5667947085857040_dp, &
+         & 0.5667763738172770_dp, 0.5667412615180750_dp, 0.5666802039872040_dp, 0.5665815269729960_dp, &
+         & 0.5664309890526340_dp, 0.5662118287222310_dp, 0.5659049255719710_dp, 0.5654890789375460_dp, &
+         & 0.5649414036889620_dp, 0.5642378382767530_dp, 0.5633537548517470_dp, 0.5622646553876650_dp, &
+         & 0.5609469316161010_dp, 0.5593786607331740_dp, 0.5575404038887800_dp, 0.5554159711080330_dp, &
+         & 0.5529931151576620_dp, 0.5502641184297800_dp, 0.5472262413633761_dp, 0.5438820080927230_dp, &
+         & 0.5402393143550480_dp, 0.5363113533354640_dp, 0.5321163659973680_dp, 0.5276772324372700_dp, &
+         & 0.5230209289504730_dp, 0.5181778811354150_dp, 0.5131812462085750_dp, 0.5080661578380440_dp, &
+         & 0.5028689646256910_dp, 0.4976264894643240_dp, 0.4923753320260430_dp, 0.4871512312189030_dp, &
+         & 0.4819884991031530_dp, 0.4769195328623250_dp, 0.4719744072289270_dp, 0.4671805463925980_dp, &
+         & 0.4625624719046190_dp, 0.4581416213929690_dp, 0.4539362319256240_dp, 0.4499612814834110_dp, &
+         & 0.4462284820883440_dp, 0.4427463185419210_dp, 0.4395201273350440_dp, 0.4365522109886800_dp, &
+         & 0.4338419837857540_dp, 0.4313861454940740_dp, 0.4291788802092640_dp, 0.4272120778294810_dp, &
+         & 0.4254755758881570_dp, 0.4239574195043760_dp, 0.4226441370559260_dp, 0.4215210288522970_dp, &
+         & 0.4205724655968340_dp, 0.4197821928198380_dp, 0.4191336367830020_dp, 0.4186102066608730_dp, &
+         & 0.4181955871692080_dp, 0.4178740153054150_dp, 0.4176305345657310_dp, 0.4174512199727620_dp, &
+         & 0.4173233675301450_dp, 0.4172356423474920_dp, 0.4171781806450950_dp, 0.4171426421283830_dp, &
+         & 0.4171222107594020_dp, 0.4171115436707000_dp, 0.4171066697731480_dp, 0.4171048414032160_dp, &
+         & 0.4171043440420020_dp, 0.4171042706325210_dp, 0.4171042649042680_dp, 0.4171041611845250_dp, &
+         & 0.4171034584680910_dp, 0.4171008752089310_dp, 0.4170939891948390_dp, 0.4170789193533720_dp, &
+         & 0.4170500589267620_dp, 0.4169998707861000_dp, 0.4169187544356280_dp, 0.4167949928330610_dp, &
+         & 0.4166147854760420_dp, 0.4163623722079990_dp, 0.4160202498098470_dp, 0.4155694806089940_dp, &
+         & 0.4149900890360390_dp, 0.4142615383323540_dp, 0.4133632755741420_dp, 0.4122753290368880_dp, &
+         & 0.4109789379686650_dp, 0.4094571914287710_dp, 0.4076956503742220_dp, 0.4056829260133840_dp, &
+         & 0.4034111878894180_dp, 0.4008765773706390_dp, 0.3980795061874010_dp, 0.3950248251427550_dp, &
+         & 0.3917218547276210_dp, 0.3881842765306370_dp, 0.3844298914288800_dp, 0.3804802569679570_dp, &
+         & 0.3763602215957460_dp, 0.3720973771632430_dp, 0.3677214532228130_dp, 0.3632636771894790_dp, &
+         & 0.3587561235998460_dp, 0.3542310738021680_dp, 0.3497204047717870_dp, 0.3452550226683970_dp, &
+         & 0.3408643534842780_dp, 0.3365758998476170_dp, 0.3324148698697090_dp, 0.3284038809356960_dp, &
+         & 0.3245627386084350_dp, 0.3209082884052490_dp, 0.3174543361842690_dp, 0.3142116313007650_dp, &
+         & 0.3111879056082220_dp, 0.3083879607976880_dp, 0.3058137964717960_dp, 0.3034647716780650_dp, &
+         & 0.3013377932847870_dp, 0.2994275254606290_dp, 0.2977266154868090_dp, 0.2962259320704280_dp, &
+         & 0.2949148131299210_dp, 0.2937813206116570_dp, 0.2928125002156320_dp, 0.2919946439490670_dp, &
+         & 0.2913135531997430_dp, 0.2907547995794740_dp, 0.2903039802023390_dp, 0.2899469634189980_dp, &
+         & 0.2896701204295060_dp, 0.2894605377323390_dp, 0.2893062051258250_dp, 0.2891961740225070_dp, &
+         & 0.2891206812069810_dp, 0.2890712338728180_dp, 0.2890406527930200_dp, 0.2890230717582650_dp, &
+         & 0.2890138928880360_dp, 0.2890096989897160_dp, 0.2890081257141900_dp, 0.2890076977451490_dp, &
+         & 0.2890076345778140_dp, 0.2890076296068290_dp, 0.2890075390613730_dp, 0.2890069256027770_dp, &
+         & 0.2890046704670230_dp, 0.2889986591256390_dp, 0.2889855035664940_dp, 0.2889603095357240_dp, &
+         & 0.2889164982783680_dp, 0.2888456913291580_dp, 0.2887376657478170_dp, 0.2885803858143420_dp, &
+         & 0.2883601155242700_dp, 0.2880616141767690_dp, 0.2876684148719450_dp, 0.2871631828002990_dp, &
+         & 0.2865281468469190_dp, 0.2857455943429270_dp, 0.2847984149473040_dp, 0.2836706758806430_dp, &
+         & 0.2823482073617780_dp, 0.2808191744557580_dp, 0.2790746099630180_dp, 0.2771088827501130_dp, &
+         & 0.2749200772443170_dp, 0.2725102627627360_dp, 0.2698856358526310_dp, 0.2670565246654770_dp, &
+         & 0.2640372512181410_dp, 0.2608458547566810_dp, 0.2575036868073820_dp, 0.2540348953441480_dp, &
+         & 0.2504658213087510_dp, 0.2468243350591170_dp, 0.2431391428598740_dp, 0.2394390940851990_dp, &
+         & 0.2357525183496560_dp, 0.2321066184756550_dp, 0.2285269403563180_dp, 0.2250369348457470_dp, &
+         & 0.2216576203446150_dp, 0.2184073483268630_dp, 0.2153016682034800_dp, 0.2123532830696040_dp, &
+         & 0.2095720843213660_dp, 0.2069652509711520_dp, 0.2045373987048580_dp, 0.2022907641407410_dp, &
+         & 0.2002254111145590_dp, 0.1983394478320260_dp, 0.1966292460970040_dp, 0.1950896562756270_dp, &
+         & 0.1937142139693290_dp, 0.1924953363872390_dp, 0.1914245080264150_dp, 0.1904924564352940_dp, &
+         & 0.1896893195468440_dp, 0.1890048063434480_dp, 0.1884283525065200_dp, 0.1879492722752330_dp, &
+         & 0.1875569070642770_dp, 0.1872407705632640_dp, 0.1869906891419790_dp, 0.1867969355158440_dp, &
+         & 0.1866503528681560_dp, 0.1865424660603740_dp, 0.1864655762517630_dp, 0.1864128352372630_dp, &
+         & 0.1863782961118830_dp, 0.1863569374715010_dp, 0.1863446592197850_dp, 0.1863382491111880_dp, &
+         & 0.1863353203356440_dp, 0.1863342216598770_dp, 0.1863339227942900_dp, 0.1863338786823760_dp, &
+         & 0.1863338751802530_dp, 0.1863338109990170_dp, 0.1863333761623240_dp, 0.1863317776652450_dp, &
+         & 0.1863275167252570_dp, 0.1863181920986110_dp, 0.1863003356119610_dp, 0.1862692870652580_dp, &
+         & 0.1862191151887200_dp, 0.1861425907559070_dp, 0.1860312171804420_dp, 0.1858753228473380_dp, &
+         & 0.1856642179291440_dp, 0.1853864164153120_dp, 0.1850299214767260_dp, 0.1845825691033700_dp, &
+         & 0.1840324212879660_dp, 0.1833681960766710_dp, 0.1825797178707660_dp, 0.1816583678282910_dp, &
+         & 0.1805975115235010_dp, 0.1793928796242170_dp, 0.1780428776320240_dp, 0.1765488029674600_dp, &
+         & 0.1749149519492190_dp, 0.1731486053625420_dp, 0.1712598889354380_dp, 0.1692615135075360_dp, &
+         & 0.1671684081801890_dp, 0.1649972673929340_dp, 0.1627660388373040_dp, 0.1604933827171350_dp, &
+         & 0.1581981336958900_dp, 0.1558987948769750_dp, 0.1536130886508570_dp, 0.1513575828265630_dp, &
+         & 0.1491474029783860_dp, 0.1469960342881220_dp, 0.1449152092011450_dp, 0.1429148716050720_dp, &
+         & 0.1410032043948770_dp, 0.1391867053324490_dp, 0.1374702959136160_dp, 0.1358574491985110_dp, &
+         & 0.1343503248111660_dp, 0.1329499021134380_dp, 0.1316561054871950_dp, 0.1304679183867560_dp, &
+         & 0.1293834851245920_dp, 0.1284002011081500_dp, 0.1275147934300090_dp, 0.1267233943646890_dp, &
+         & 0.1260216105287240_dp, 0.1254045903143890_dp, 0.1248670918162700_dp, 0.1244035529216210_dp, &
+         & 0.1240081646089520_dp, 0.1236749478485560_dp, 0.1233978338656100_dp, 0.1231707469405450_dp, &
+         & 0.1229876884001160_dp, 0.1228428200125510_dp, 0.1227305446559510_dp, 0.1226455818918450_dp, &
+         & 0.1225830359623070_dp, 0.1225384537473390_dp, 0.1225078703803040_dp, 0.1224878405203920_dp, &
+         & 0.1224754537151970_dp, 0.1224683328334490_dp, 0.1224646151787710_dp, 0.1224629165715780_dp, &
+         & 0.1224622793686050_dp, 0.1224621060342340_dp, 0.1224620804504750_dp, 0.1224620784007160_dp, &
+         & 0.1224620406023580_dp, 0.1224617845132340_dp, 0.1224608431061970_dp, 0.1224583336891380_dp, &
+         & 0.1224528420354720_dp, 0.1224423254141700_dp, 0.1224240386490860_dp, 0.1223944870080660_dp, &
+         & 0.1223494093214010_dp, 0.1222837942099350_dp, 0.1221919316047180_dp, 0.1220675007934630_dp, &
+         & 0.1219036949757710_dp, 0.1216933807161240_dp, 0.1214292887619880_dp, 0.1211042305195210_dp, &
+         & 0.1207113322011110_dp, 0.1202442765024330_dp, 0.1196975399197270_dp, 0.1190666127917690_dp, &
+         & 0.1183481891376060_dp, 0.1175403145626890_dp, 0.1166424829829110_dp, 0.1156556765341460_dp, &
+         & 0.1145823474587500_dp, 0.1134263454770660_dp, 0.1121927985423670_dp, 0.1108879583290450_dp, &
+         & 0.1095190238170570_dp, 0.1080939566418240_dp, 0.1066213004904170_dp, 0.1051100140426370_dp, &
+         & 0.1035693233064020_dp, 0.1020085953231420_dp, 0.1004372317531190_dp, 0.0988645782856281_dp, &
+         & 0.0972998444386377_dp, 0.0957520281495903_dp, 0.0942298404321349_dp, 0.0927416269534689_dp, &
+         & 0.0912952852901299_dp, 0.0898981784875019_dp, 0.0885570471079689_dp, 0.0872779230427483_dp, &
+         & 0.0860660489328495_dp, 0.0849258071268224_dp, 0.0838606617943043_dp, 0.0828731172295818_dp, &
+         & 0.0819646946324468_dp, 0.0811359288392310_dp, 0.0803863856585281_dp, 0.0797146996838194_dp, &
+         & 0.0791186317279653_dp, 0.0785951443658490_dp, 0.0781404934920715_dp, 0.0777503333044933_dp, &
+         & 0.0774198317234465_dp, 0.0771437929543310_dp, 0.0769167837120079_dp, 0.0767332595440138_dp, &
+         & 0.0765876877205613_dp, 0.0764746632969207_dp, 0.0763890151900739_dp, 0.0763258994404055_dp, &
+         & 0.0762808772353765_dp, 0.0762499757456254_dp, 0.0762297303524377_dp, 0.0762172074108065_dp, &
+         & 0.0762100072824126_dp, 0.0762062479690542_dp, 0.0762045302626149_dp, 0.0762038858843681_dp, &
+         & 0.0762037105971700_dp, 0.0762036847251011_dp, 0.0762036826327233_dp, 0.0762036438047744_dp, &
+         & 0.0762033807392299_dp, 0.0762024136782458_dp, 0.0761998358156291_dp, 0.0761941940585018_dp, &
+         & 0.0761833887755330_dp, 0.0761645962844426_dp, 0.0761342172139621_dp, 0.0760878531681612_dp, &
+         & 0.0760203133378923_dp, 0.0759256518527138_dp, 0.0757972357615699_dp, 0.0756278425791521_dp, &
+         & 0.0754097853575786_dp, 0.0751350622593066_dp, 0.0747955266507745_dp, 0.0743830728490451_dp, &
+         & 0.0738898318905257_dp, 0.0733083711058953_dp, 0.0726318909369610_dp, 0.0718544123542415_dp, &
+         & 0.0709709484475667_dp, 0.0699776542475519_dp, 0.0688719495453256_dp, 0.0676526103527380_dp, &
+         & 0.0663198256146984_dp, 0.0648752168319078_dp, 0.0633218193827787_dp, 0.0616640255893941_dp, &
+         & 0.0599074910185209_dp, 0.0580590071973290_dp, 0.0561263458100427_dp, 0.0541180813840327_dp, &
+         & 0.0520434012666868_dp, 0.0499119130796544_dp, 0.0477334604882031_dp, 0.0455179577501639_dp, &
+         & 0.0432752520622302_dp, 0.0410150201079915_dp, 0.0387467016261667_dp, 0.0364794689827050_dp, &
+         & 0.0342222278544853_dp, 0.0319836405869864_dp, 0.0297721619288609_dp, 0.0275960762911041_dp, &
+         & 0.0254635246755015_dp, 0.0233825107496557_dp, 0.0213608810796728_dp, 0.0194062783182432_dp, &
+         & 0.0175260658370036_dp, 0.0157272247798232_dp, 0.0140162312425360_dp, 0.0123989247146454_dp, &
+         & 0.0108803770385606_dp, 0.0094647690779368_dp, 0.0081552822736910_dp, 0.0069540118264229_dp, &
+         & 0.0058619061294962_dp, 0.0048787344860557_dp, 0.0040030832054327_dp, 0.0032323788429807_dp, &
+         & 0.0025629363510973_dp, 0.0019900292686970_dp, 0.0015079788379779_dp, 0.0011102590892733_dp, &
+         & 0.0007896153295661_dp, 0.0005381940207911_dp, 0.0003476826931603_dp, 0.0002094593281328_dp, &
+         & 1.1475168119545700e-04_dp, 5.4808577871767698e-05_dp, 2.1088039815708699e-05_dp, 5.4732286258740697e-06_dp, &
+         & 5.4389755632655600e-07_dp &
+         &]
+      case (68)
+         out = [&
+         & 68.0000000000000000_dp, 67.9999999277946046_dp, 67.9999976950623051_dp, 67.9999825679471996_dp, &
+         & 67.9999269586921002_dp, 67.9997787219211034_dp, 67.9994542945863003_dp, 67.9988329207667022_dp, &
+         & 67.9977521691779998_dp, 67.9960049112903988_dp, 67.9933378828037007_dp, 67.9894519027303943_dp, &
+         & 67.9840037746360935_dp, 67.9766098459784018_dp, 67.9668511562695983_dp, 67.9542800649631999_dp, &
+         & 67.9384282169254021_dp, 67.9188156776194063_dp, 67.8949610510639019_dp, 67.8663923794138952_dp, &
+         & 67.8326586108295970_dp, 67.7933414088052047_dp, 67.7480670582411051_dp, 67.6965181993672047_dp, &
+         & 67.6384450903608041_dp, 67.5736760660722950_dp, 67.5021268293994012_dp, 67.4238081914453034_dp, &
+         & 67.3388318754627022_dp, 67.2474140256149013_dp, 67.1498761198479031_dp, 67.0466430773423951_dp, &
+         & 66.9382384706220961_dp, 66.8252768910180066_dp, 66.7084536608416983_dp, 66.5885322217711035_dp, &
+         & 66.4663296430022967_dp, 66.3427007741525046_dp, 66.2185216107965999_dp, 66.0946724441439954_dp, &
+         & 65.9720213346873976_dp, 65.8514083902206977_dp, 65.7336312508643061_dp, 65.6194320973539931_dp, &
+         & 65.5094864123902028_dp, 65.4043936448098009_dp, 65.3046698567980997_dp, 65.2107423770242036_dp, &
+         & 65.1229464372716933_dp, 65.0415237353147972_dp, 64.9666228402232946_dp, 64.8983013355252041_dp, &
+         & 64.8365295784902997_dp, 64.7811959384180938_dp, 64.7321133619995948_dp, 64.6890270988892979_dp, &
+         & 64.6516234054519003_dp, 64.6195390295124952_dp, 64.5923712645113994_dp, 64.5696883486268973_dp, &
+         & 64.5510399742463932_dp, 64.5359676667610955_dp, 64.5240147901075005_dp, 64.5147359407503984_dp, &
+         & 64.5077055026409028_dp, 64.5025251535296036_dp, 64.4988301379753040_dp, 64.4962941541356969_dp, &
+         & 64.4946327392538024_dp, 64.4936050815502995_dp, 64.4930142325759022_dp, 64.4927057422840022_dp, &
+         & 64.4925647873524071_dp, 64.4925119097785995_dp, 64.4924975257480071_dp, 64.4924954026935069_dp, &
+         & 64.4924951241934963_dp, 64.4924886354779971_dp, 64.4924446734584933_dp, 64.4922830641556999_dp, &
+         & 64.4918522710275965_dp, 64.4909094803414007_dp, 64.4891038833080046_dp, 64.4859638095337004_dp, &
+         & 64.4808882790763960_dp, 64.4731434399910057_dp, 64.4618642442239036_dp, 64.4460615860721049_dp, &
+         & 64.4246349831585974_dp, 64.3963907194519010_dp, 64.3600651936248056_dp, 64.3143530255665041_dp, &
+         & 64.2579392721975040_dp, 64.1895348957965979_dp, 64.1079144213431960_dp, 64.0119545249649065_dp, &
+         & 63.9006721293664981_dp, 63.7732604654114965_dp, 63.6291215176950971_dp, 63.4678933327328991_dp, &
+         & 63.2894708523165974_dp, 63.0940192481866973_dp, 62.8819791612529002_dp, 62.6540637463238994_dp, &
+         & 62.4112479259017974_dp, 62.1547506880553016_dp, 61.8860115568517983_dp, 61.6066624819908029_dp, &
+         & 61.3184963431987029_dp, 61.0234330950711978_dp, 60.7234843700006977_dp, 60.4207171952430002_dp, &
+         & 60.1172174238590031_dp, 59.8150535387212017_dp, 59.5162416210250029_dp, 59.2227123998286018_dp, &
+         & 58.9362813334924027_dp, 58.6586225669404016_dp, 58.3912473652537969_dp, 58.1354873010611968_dp, &
+         & 57.8924821525553028_dp, 57.6631722226063985_dp, 57.4482946538495014_dp, 57.2483832856257990_dp, &
+         & 57.0637716438913998_dp, 56.8945987333356982_dp, 56.7408173774226015_dp, 56.6022049063477013_dp, &
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+         & 0.0949133357217704_dp, 0.0949131277518376_dp, 0.0949130970558940_dp, 0.0949130945965919_dp, &
+         & 0.0949130492453492_dp, 0.0949127419839613_dp, 0.0949116124578921_dp, 0.0949086015506424_dp, &
+         & 0.0949020122259299_dp, 0.0948893927741921_dp, 0.0948674471085269_dp, 0.0948319761856879_dp, &
+         & 0.0947778539694895_dp, 0.0946990405957138_dp, 0.0945886345237454_dp, 0.0944389644543548_dp, &
+         & 0.0942417206463801_dp, 0.0939881239783773_dp, 0.0936691296920173_dp, 0.0932756612611314_dp, &
+         & 0.0927988683086909_dp, 0.0922304010214248_dp, 0.0915626921781723_dp, 0.0907892368115029_dp, &
+         & 0.0899048587622389_dp, 0.0889059530550043_dp, 0.0877906931946626_dp, 0.0865591932105190_dp, &
+         & 0.0852136155814094_dp, 0.0837582180483736_dp, 0.0821993347142467_dp, 0.0805452896532017_dp, &
+         & 0.0788062443770627_dp, 0.0769939837602323_dp, 0.0751216482030799_dp, 0.0732034226872429_dp, &
+         & 0.0712541957069845_dp, 0.0692892026347067_dp, 0.0673236687311061_dp, 0.0653724666555604_dp, &
+         & 0.0634498019827987_dp, 0.0615689380026225_dp, 0.0597419681813989_dp, 0.0579796413690161_dp, &
+         & 0.0562912414559946_dp, 0.0546845200205297_dp, 0.0531656778123448_dp, 0.0517393888818987_dp, &
+         & 0.0504088598715811_dp, 0.0491759164415697_dp, 0.0480411089349815_dp, 0.0470038300641562_dp, &
+         & 0.0460624384654977_dp, 0.0452143832602587_dp, 0.0444563261159203_dp, 0.0437842585943145_dp, &
+         & 0.0431936137007511_dp, 0.0426793714378704_dp, 0.0422361587922069_dp, 0.0418583449294232_dp, &
+         & 0.0415401324646609_dp, 0.0412756455443031_dp, 0.0410590151677042_dp, 0.0408844617508777_dp, &
+         & 0.0407463744430032_dp, 0.0406393862147070_dp, 0.0405584432970869_dp, 0.0404988672134010_dp, &
+         & 0.0404564074512308_dp, 0.0404272827947239_dp, 0.0404082094864293_dp, 0.0403964147077573_dp, &
+         & 0.0403896343342609_dp, 0.0403860944996666_dp, 0.0403844771499848_dp, 0.0403838704311568_dp, &
+         & 0.0403837053893739_dp, 0.0403836810295815_dp, 0.0403836790595165_dp, 0.0403836425010979_dp, &
+         & 0.0403833948127783_dp, 0.0403824842893954_dp, 0.0403800572076420_dp, 0.0403747457978199_dp, &
+         & 0.0403645745760173_dp, 0.0403468891253311_dp, 0.0403183111519212_dp, 0.0402747233202092_dp, &
+         & 0.0402112869419966_dp, 0.0401224949921755_dp, 0.0400022620858778_dp, 0.0398440519187346_dp, &
+         & 0.0396410412088386_dp, 0.0393863173893862_dp, 0.0390731052284394_dp, 0.0386950153013856_dp, &
+         & 0.0382463049627262_dp, 0.0377221403590369_dp, 0.0371188463284966_dp, 0.0364341299849258_dp, &
+         & 0.0356672636169719_dp, 0.0348192134195955_dp, 0.0338927026179050_dp, 0.0328922007311121_dp, &
+         & 0.0318238349251772_dp, 0.0306952243533232_dp, 0.0295152436971762_dp, 0.0282937273248933_dp, &
+         & 0.0270411300542861_dp, 0.0257681639547798_dp, 0.0244854325482038_dp, 0.0232030839479620_dp, &
+         & 0.0219305028931984_dp, 0.0206760584706132_dp, 0.0194469199056755_dp, 0.0182489475774616_dp, &
+         & 0.0170866608451945_dp, 0.0159632788622588_dp, 0.0148808257549575_dp, 0.0138402877328332_dp, &
+         & 0.0128418071009690_dp, 0.0118848968287182_dp, 0.0109686592546581_dp, 0.0100919935561166_dp, &
+         & 0.0092537786682811_dp, 0.0084530212836427_dp, 0.0076889621823000_dp, 0.0069611380694567_dp, &
+         & 0.0062693999242072_dp, 0.0056138922548286_dp, 0.0049950003042483_dp, 0.0044132739302967_dp, &
+         & 0.0038693375404222_dp, 0.0033637951836312_dp, 0.0028971388595096_dp, 0.0024696665023214_dp, &
+         & 0.0020814141867476_dp, 0.0017321051498698_dp, 0.0014211164572799_dp, 0.0011474627218888_dp, &
+         & 0.0009097952910508_dp, 0.0007064147560527_dp, 0.0005352944581745_dp, 0.0003941127776415_dp, &
+         & 2.8029229923731702e-04_dp, 1.9104436144346001e-04_dp, 1.2341795253689700e-04_dp, 7.4352390726062394e-05_dp, &
+         & 4.0733739012921399e-05_dp, 1.9455560575920599e-05_dp, 7.4856829002101196e-06_dp, 1.9428478879035500e-06_dp, &
+         & -1.4210854715202001e-14_dp &
+         &]
+      case (69)
+         out = [&
+         & 69.0000000000000000_dp, 68.9999999262530963_dp, 68.9999976458518063_dp, 68.9999821957718069_dp, &
+         & 68.9999253992553037_dp, 68.9997739976139997_dp, 68.9994426436977051_dp, 68.9988080033420061_dp, &
+         & 68.9977041770559936_dp, 68.9959196133744967_dp, 68.9931956391673964_dp, 68.9892266826613962_dp, &
+         & 68.9836622141768032_dp, 68.9761103799876025_dp, 68.9661432586273975_dp, 68.9533036284364016_dp, &
+         & 68.9371131016054051_dp, 68.9170814539200052_dp, 68.8927169601580971_dp, 68.8635375307316053_dp, &
+         & 68.8290824327298054_dp, 68.7889243645300041_dp, 68.7426816343937048_dp, 68.6900301680158947_dp, &
+         & 68.6307150381066009_dp, 68.5645611738708993_dp, 68.4914828757473941_dp, 68.4114917392851964_dp, &
+         & 68.3247025907659946_dp, 68.2313370643330046_dp, 68.1317245111548999_dp, 68.0263000261235931_dp, &
+         & 67.9155995019111032_dp, 67.8002517639565951_dp, 67.6809679894652021_dp, 67.5585287536426051_dp, &
+         & 67.4337691630743024_dp, 67.3075626186162026_dp, 67.1808037924881063_dp, 67.0543914059466033_dp, &
+         & 66.9292113593547953_dp, 66.8061207036761004_dp, 66.6859328613113007_dp, 66.5694044148376065_dp, &
+         & 66.4572236933927059_dp, 66.3500013047613066_dp, 66.2482626907140002_dp, 66.1524427254173020_dp, &
+         & 66.0628823314260956_dp, 65.9798270531915989_dp, 65.9034275017718016_dp, 65.8337415639750958_dp, &
+         & 65.7707382521907959_dp, 65.7143030558394940_dp, 65.6642446404754025_dp, 65.6203027254340014_dp, &
+         & 65.5821569554416044_dp, 65.5494365661106997_dp, 65.5217306284300065_dp, 65.4985986441468953_dp, &
+         & 65.4795812534346027_dp, 65.4642108095683000_dp, 65.4520215736316970_dp, 65.4425592865087964_dp, &
+         & 65.4353898863592036_dp, 65.4301071578769040_dp, 65.4263391249991031_dp, 65.4237530310419970_dp, &
+         & 65.4220587887684957_dp, 65.4210108265071995_dp, 65.4204083036971014_dp, 65.4200937183986042_dp, &
+         & 65.4199499785597993_dp, 65.4198960562631981_dp, 65.4198813880420005_dp, 65.4198792230415052_dp, &
+         & 65.4198789390390942_dp, 65.4198723221236946_dp, 65.4198274915308957_dp, 65.4196626892632054_dp, &
+         & 65.4192233848791034_dp, 65.4182619676001025_dp, 65.4164206987298940_dp, 65.4132185923220959_dp, &
+         & 65.4080428032876000_dp, 65.4001450000078961_dp, 65.3886430824360048_dp, 65.3725284755382035_dp, &
+         & 65.3506790806380025_dp, 65.3218778031211968_dp, 65.2848363943621024_dp, 65.2382241502075004_dp, &
+         & 65.1807008011039954_dp, 65.1109527151942018_dp, 65.0277313233736010_dp, 64.9298924761438059_dp, &
+         & 64.8164352728134929_dp, 64.6865387864278034_dp, 64.5395950693902023_dp, 64.3752368922809950_dp, &
+         & 64.1933588626330049_dp, 63.9941308967218987_dp, 63.7780034573931971_dp, 63.5457044788623975_dp, &
+         & 63.2982284066780991_dp, 63.0368182098204031_dp, 62.7629415055550979_dp, 62.4782620415939007_dp, &
+         & 62.1846077153414996_dp, 61.8839361329879978_dp, 61.5782985075445026_dp, 61.2698025510228987_dp, &
+         & 60.9605749875082026_dp, 60.6527244033054984_dp, 60.3483053038475035_dp, 60.0492843751639001_dp, &
+         & 59.7575099633171973_dp, 59.4746856426590966_dp, 59.2023484597254992_dp, 58.9418520845338989_dp, &
+         & 58.6943547661243983_dp, 58.4608117475370008_dp, 58.2419716776039991_dp, 58.0383765498829973_dp, &
+         & 57.8503647626988027_dp, 57.6780769833389968_dp, 57.5214645791844035_dp, 57.3803004305289974_dp, &
+         & 57.2541919598529034_dp, 57.1425962048935006_dp, 57.0448367358863990_dp, 56.9601221785505984_dp, &
+         & 56.8875660598481971_dp, 56.8262076476274984_dp, 56.7750334110869019_dp, 56.7329986891879017_dp, &
+         & 56.6990491212034016_dp, 56.6721413701349022_dp, 56.6512626584720991_dp, 56.6354486392604031_dp, &
+         & 56.6237991458058971_dp, 56.6154914019470965_dp, 56.6097903319762992_dp, 56.6060556841151978_dp, &
+         & 56.6037457717605008_dp, 56.6024177391540988_dp, 56.6017243683522011_dp, 56.6014075573733990_dp, &
+         & 56.6012887099689976_dp, 56.6012563805303017_dp, 56.6012516087706032_dp, 56.6012511875149968_dp, &
+         & 56.6012429332197016_dp, 56.6011870091424996_dp, 56.6009814261390005_dp, 56.6004334159493965_dp, &
+         & 56.5992341020392971_dp, 56.5969372455409001_dp, 56.5929429086414970_dp, 56.5864867720847968_dp, &
+         & 56.5766357209828001_dp, 56.5622901716434967_dp, 56.5421934482262998_dp, 56.5149483282269003_dp, &
+         & 56.4790406574984019_dp, 56.4328696886228016_dp, 56.3747845246440988_dp, 56.3031257622476033_dp, &
+         & 56.2162711390334024_dp, 56.1126837189603975_dp, 55.9909609232131018_dp, 55.8498825574408002_dp, &
+         & 55.6884559250635007_dp, 55.5059561673311990_dp, 55.3019601387405970_dp, 55.0763723999155985_dp, &
+         & 54.8294422619966966_dp, 54.5617712092678033_dp, 54.2743104219441008_dp, 53.9683484913237024_dp, &
+         & 53.6454897557831032_dp, 53.3076239964427003_dp, 52.9568885303888024_dp, 52.5956240330720988_dp, &
+         & 52.2263256954827995_dp, 51.8515915402249021_dp, 51.4740698378235990_dp, 51.0964075426205966_dp, &
+         & 50.7212014930127992_dp, 50.3509538120415030_dp, 49.9880325476275971_dp, 49.6346381678522022_dp, &
+         & 49.2927761345375970_dp, 48.9642354616094977_dp, 48.6505729446020965_dp, 48.3531026236249986_dp, &
+         & 48.0728899974953023_dp, 47.8107505170964018_dp, 47.5672519266053015_dp, 47.3427200720688006_dp, &
+         & 47.1372478447285985_dp, 46.9507069646679014_dp, 46.7827623364616016_dp, 46.6328887226858981_dp, &
+         & 46.5003894843043000_dp, 46.3844171299300996_dp, 46.2839953993713991_dp, 46.1980425813029996_dp, &
+         & 46.1253957314526986_dp, 46.0648354182493023_dp, 46.0151105804002967_dp, 45.9749630392902020_dp, &
+         & 45.9431511731024003_dp, 45.9184722342251987_dp, 45.8997827816664028_dp, 45.8860167100907006_dp, &
+         & 45.8762003896869999_dp, 45.8694644877924986_dp, 45.8650521236006981_dp, 45.8623231090076970_dp, &
+         & 45.8607541475697005_dp, 45.8599349940755019_dp, 45.8595607128295981_dp, 45.8594203064870030_dp, &
+         & 45.8593821125078023_dp, 45.8593764751546971_dp, 45.8593760229693004_dp, 45.8593676778540029_dp, &
+         & 45.8593111384618979_dp, 45.8591032935569984_dp, 45.8585492544371007_dp, 45.8573367487375023_dp, &
+         & 45.8550146374988969_dp, 45.8509764109533009_dp, 45.8444494138983032_dp, 45.8344904302761975_dp, &
+         & 45.8199881160975977_dp, 45.7996726064764985_dp, 45.7721324324354981_dp, 45.7358386635339969_dp, &
+         & 45.6891759429215014_dp, 45.6304798055668002_dp, 45.5580793764422012_dp, 45.4703442470956034_dp, &
+         & 45.3657340453304982_dp, 45.2428489667735008_dp, 45.1004793540788995_dp, 44.9376523133729009_dp, &
+         & 44.7536733674615022_dp, 44.5481612720986035_dp, 44.3210743648933985_dp, 44.0727271639066984_dp, &
+         & 43.8037963617879029_dp, 43.5153158419080981_dp, 43.2086608443824005_dp, 42.8855219043039995_dp, &
+         & 42.5478696491268025_dp, 42.1979119568617023_dp, 41.8380453190577981_dp, 41.4708024930776986_dp, &
+         & 41.0987986325014987_dp, 40.7246780236096981_dp, 40.3510633225659987_dp, 39.9805088097520027_dp, &
+         & 39.6154587170322969_dp, 39.2582112209911998_dp, 38.9108883026316974_dp, 38.5754113933697980_dp, &
+         & 38.2534825618246970_dp, 37.9465709198722010_dp, 37.6559039019689976_dp, 37.3824630662023978_dp, &
+         & 37.1269840601368983_dp, 36.8899603847567974_dp, 36.6716505799566974_dp, 36.4720884519013993_dp, &
+         & 36.2910959706537994_dp, 36.1282984860186005_dp, 35.9831419368456977_dp, 35.8549117580372965_dp, &
+         & 35.7427532136292001_dp, 35.6456928980807035_dp, 35.5626611478388028_dp, 35.4925150903210991_dp, &
+         & 35.4340620290641013_dp, 35.3860828253850030_dp, 35.3473548935435034_dp, 35.3166743841409030_dp, &
+         & 35.2928770957775981_dp, 35.2748576340062030_dp, 35.2615863346834004_dp, 35.2521234898667970_dp, &
+         & 35.2456304605281971_dp, 35.2413773315593986_dp, 35.2387468587167021_dp, 35.2372345701333032_dp, &
+         & 35.2364450111086995_dp, 35.2360842532207030_dp, 35.2359489201829987_dp, 35.2359121062872021_dp, &
+         & 35.2359066726322965_dp, 35.2359062535365979_dp, 35.2358987279219988_dp, 35.2358477407741972_dp, &
+         & 35.2356603065968983_dp, 35.2351606756790972_dp, 35.2340672445318006_dp, 35.2319731888455010_dp, &
+         & 35.2283315952075000_dp, 35.2224457762732968_dp, 35.2134653477661033_dp, 35.2003885218006971_dp, &
+         & 35.1820709257211988_dp, 35.1572410848743004_dp, 35.1245225085078019_dp, 35.0824620895791028_dp, &
+         & 35.0295642745183997_dp, 34.9643301852671016_dp, 34.8853005955580997_dp, 34.7911013936233999_dp, &
+         & 34.6804899253532994_dp, 34.5524004284853987_dp, 34.4059866623016006_dp, 34.2406598278660965_dp, &
+         & 34.0561199742602980_dp, 33.8523793014920997_dp, 33.6297760961844006_dp, 33.3889784575641997_dp, &
+         & 33.1309774655818998_dp, 32.8570699796328967_dp, 32.5688317989111980_dp, 32.2680824235203971_dp, &
+         & 31.9568430873409000_dp, 31.6372900498591996_dp, 31.3117053027967991_dp, 30.9824268500339990_dp, &
+         & 30.6518005564593992_dp, 30.3221352549053016_dp, 29.9956623918955003_dp, 29.6745010373338012_dp, &
+         & 29.3606286385435986_dp, 29.0558575155382997_dp, 28.7618168060073991_dp, 28.4799393884622987_dp, &
+         & 28.2114532337053987_dp, 27.9573766370759991_dp, 27.7185168384616993_dp, 27.4954716158098016_dp, &
+         & 27.2886335184652005_dp, 27.0981964750080984_dp, 26.9241645603079007_dp, 26.7663627382133988_dp, &
+         & 26.6244494128421003_dp, 26.4979306267626988_dp, 26.3861757415475999_dp, 26.2884344268132004_dp, &
+         & 26.2038547683164005_dp, 26.1315022836833002_dp, 26.0703796058511017_dp, 26.0194465600445000_dp, &
+         & 25.9776403219558993_dp, 25.9438953058316990_dp, 25.9171623954168986_dp, 25.8964271027678983_dp, &
+         & 25.8807262244592984_dp, 25.8691625658135997_dp, 25.8609173245949009_dp, 25.8552597678103986_dp, &
+         & 25.8515538988339983_dp, 25.8492618951800992_dp, 25.8479441964004018_dp, 25.8472562318418007_dp, &
+         & 25.8469418935444999_dp, 25.8468239741368002_dp, 25.8467918971741994_dp, 25.8467871626809007_dp, &
+         & 25.8467868041993007_dp, 25.8467804537342012_dp, 25.8467374283956985_dp, 25.8465792626495983_dp, &
+         & 25.8461576504548987_dp, 25.8452349605187983_dp, 25.8434678913949014_dp, 25.8403949198416996_dp, &
+         & 25.8354281176577985_dp, 25.8278498214163008_dp, 25.8168145338885999_dp, 25.8013563123354999_dp, &
+         & 25.7804017539546990_dp, 25.7527885201698012_dp, 25.7172891486761017_dp, 25.6726396878298004_dp, &
+         & 25.6175724586930009_dp, 25.5508520168589008_dp, 25.4713131644344983_dp, 25.3778996708836004_dp, &
+         & 25.2697022199191004_dp, 25.1459940271860987_dp, 25.0062625847528999_dp, 24.8502360909536009_dp, &
+         & 24.6779033162758985_dp, 24.4895259265246992_dp, 24.2856426142327990_dp, 24.0670647545994996_dp, &
+         & 23.8348636796946991_dp, 23.5903500351127988_dp, 23.3350460334285010_dp, 23.0706517392011001_dp, &
+         & 22.7990067995988994_dp, 22.5220492537272001_dp, 22.2417731829116008_dp, 21.9601869694173999_dp, &
+         & 21.6792737875431989_dp, 21.4009556598388002_dp, 21.1270620092338000_dp, 20.8593031928860988_dp, &
+         & 20.5992490943208999_dp, 20.3483125406984016_dp, 20.1077371313677986_dp, 19.8785890036537012_dp, &
+         & 19.6617520865150013_dp, 19.4579264580454989_dp, 19.2676294918628983_dp, 19.0911995290640988_dp, &
+         & 18.9288018410424002_dp, 18.7804366590464014_dp, 18.6459490479350016_dp, 18.5250404022166997_dp, &
+         & 18.4172813466499008_dp, 18.3221258319453000_dp, 18.2389262260293989_dp, 18.1669492090252014_dp, &
+         & 18.1053922818083990_dp, 18.0534006910751010_dp, 18.0100845575031983_dp, 17.9745359689112014_dp, &
+         & 17.9458457702396998_dp, 17.9231197509053999_dp, 17.9054939025970015_dp, 17.8921484019695995_dp, &
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+         & 0.4493285353193810_dp, 0.4492908452052120_dp, 0.4492253060186750_dp, 0.4491193886456130_dp, &
+         & 0.4489578112814880_dp, 0.4487225925853270_dp, 0.4483932287835440_dp, 0.4479469988209250_dp, &
+         & 0.4473593976484690_dp, 0.4466046928156690_dp, 0.4456565937333320_dp, 0.4444890164806030_dp, &
+         & 0.4430769202012070_dp, 0.4413971844970060_dp, 0.4394294914431640_dp, 0.4371571716554430_dp, &
+         & 0.4345679719465350_dp, 0.4316547030902030_dp, 0.4284157303925720_dp, 0.4248552771324230_dp, &
+         & 0.4209835210740490_dp, 0.4168164764039370_dp, 0.4123756665287600_dp, 0.4076876059660180_dp, &
+         & 0.4027831208307330_dp, 0.3976965461031200_dp, 0.3924648431977290_dp, 0.3871266829840320_dp, &
+         & 0.3817215374094900_dp, 0.3762888177282950_dp, 0.3708670898426330_dp, 0.3654933884110110_dp, &
+         & 0.3602026422123570_dp, 0.3550272147207210_dp, 0.3499965566723090_dp, 0.3451369620352550_dp, &
+         & 0.3404714153625860_dp, 0.3360195169007480_dp, 0.3317974717411970_dp, 0.3278181303468700_dp, &
+         & 0.3240910695465120_dp, 0.3206227051921500_dp, 0.3174164298057320_dp, 0.3144727704843010_dp, &
+         & 0.3117895639503420_dp, 0.3093621468713510_dp, 0.3071835604224590_dp, 0.3052447685574010_dp, &
+         & 0.3035348896244870_dp, 0.3020414408552480_dp, 0.3007505949098150_dp, 0.2996474471190990_dp, &
+         & 0.2987162913687630_dp, 0.2979409017644910_dp, 0.2973048163606220_dp, 0.2967916183824570_dp, &
+         & 0.2963852095935240_dp, 0.2960700698268970_dp, 0.2958314962803140_dp, 0.2956558160346820_dp, &
+         & 0.2955305654421920_dp, 0.2954446305707280_dp, 0.2953883437903930_dp, 0.2953535328155820_dp, &
+         & 0.2953335200219270_dp, 0.2953230715574340_dp, 0.2953182975716830_dp, 0.2953165066854520_dp, &
+         & 0.2953160195210390_dp, 0.2953159476165870_dp, 0.2953159420057570_dp, 0.2953158404124850_dp, &
+         & 0.2953151521032990_dp, 0.2953126218089180_dp, 0.2953058769967640_dp, 0.2952911162601170_dp, &
+         & 0.2952628481425140_dp, 0.2952136910841150_dp, 0.2951342440592700_dp, 0.2950130361599010_dp, &
+         & 0.2948365618034640_dp, 0.2945894063182380_dp, 0.2942544642859700_dp, 0.2938132501268030_dp, &
+         & 0.2932462969588560_dp, 0.2925336357894960_dp, 0.2916553427323410_dp, 0.2905921374285190_dp, &
+         & 0.2893260115356210_dp, 0.2878408624633270_dp, 0.2861231049590170_dp, 0.2841622321262210_dp, &
+         & 0.2819512983442820_dp, 0.2794872995102790_dp, 0.2767714309747620_dp, 0.2738092101516540_dp, &
+         & 0.2706104584774350_dp, 0.2671891454347840_dp, 0.2635631049403320_dp, 0.2597536407945280_dp, &
+         & 0.2557850425529150_dp, 0.2516840358110810_dp, 0.2474791915124540_dp, 0.2432003177567450_dp, &
+         & 0.2388778551675440_dp, 0.2345422936986380_dp, 0.2302236252989760_dp, 0.2259508434725180_dp, &
+         & 0.2217514976769190_dp, 0.2176513077912150_dp, 0.2136738415711080_dp, 0.2098402560691710_dp, &
+         & 0.2061691023751850_dp, 0.2026761916579570_dp, 0.1993745193089890_dp, 0.1962742429834630_dp, &
+         & 0.1933827095379430_dp, 0.1907045253331460_dp, 0.1882416641527840_dp, 0.1859936070853650_dp, &
+         & 0.1839575090763500_dp, 0.1821283874030970_dp, 0.1804993279554170_dp, 0.1790617058356500_dp, &
+         & 0.1778054173393430_dp, 0.1767191207786140_dp, 0.1757904838147650_dp, 0.1750064349530760_dp, &
+         & 0.1743534166240720_dp, 0.1738176368691740_dp, 0.1733853161224910_dp, 0.1730429250153950_dp, &
+         & 0.1727774086100030_dp, 0.1725763920817800_dp, 0.1724283626935230_dp, 0.1723228229927830_dp, &
+         & 0.1722504105590870_dp, 0.1722029803310650_dp, 0.1721736465376150_dp, 0.1721567824945250_dp, &
+         & 0.1721479779370580_dp, 0.1721439550604200_dp, 0.1721424459402240_dp, 0.1721420354229080_dp, &
+         & 0.1721419748314330_dp, 0.1721419700631510_dp, 0.1721418832099600_dp, 0.1721412947669310_dp, &
+         & 0.1721391315903700_dp, 0.1721333653732700_dp, 0.1721207462364870_dp, 0.1720965794183940_dp, &
+         & 0.1720545541784020_dp, 0.1719866330641790_dp, 0.1718830085615080_dp, 0.1717321328036120_dp, &
+         & 0.1715208243961970_dp, 0.1712344544465050_dp, 0.1708572115195320_dp, 0.1703724424571930_dp, &
+         & 0.1697630628193280_dp, 0.1690120272331230_dp, 0.1681028463333400_dp, 0.1670201334778060_dp, &
+         & 0.1657501613170920_dp, 0.1642814059026420_dp, 0.1626050546394000_dp, 0.1607154542833340_dp, &
+         & 0.1586104765091530_dp, 0.1562917813667750_dp, 0.1537649631079890_dp, 0.1510395681670930_dp, &
+         & 0.1481289811903960_dp, 0.1450501815273810_dp, 0.1418233790844570_dp, 0.1384715444599320_dp, &
+         & 0.1350198534208430_dp, 0.1314950697142340_dp, 0.1279248926962990_dp, 0.1243372972026580_dp, &
+         & 0.1207598924602850_dp, 0.1172193247157620_dp, 0.1137407447456410_dp, 0.1103473567248870_dp, &
+         & 0.1070600594106990_dp, 0.1038971847378460_dp, 0.1008743332856170_dp, 0.0980043011629022_dp, &
+         & 0.0952970889786400_dp, 0.0927599808314028_dp, 0.0903976796519004_dp, 0.0882124847044992_dp, &
+         & 0.0862044975340126_dp, 0.0843718440048207_dp, 0.0827109021000325_dp, 0.0812165275241341_dp, &
+         & 0.0798822715737515_dp, 0.0787005879620324_dp, 0.0776630271625152_dp, 0.0767604183116362_dp, &
+         & 0.0759830397540497_dp, 0.0753207799236719_dp, 0.0747632904339071_dp, 0.0743001330383208_dp, &
+         & 0.0739209215810206_dp, 0.0736154592777609_dp, 0.0733738707581750_dp, 0.0731867273730558_dp, &
+         & 0.0730451634262863_dp, 0.0729409803289798_dp, 0.0728667352651939_dp, 0.0728158108504005_dp, &
+         & 0.0727824624848523_dp, 0.0727618406355219_dp, 0.0727499860878993_dp, 0.0727437972265363_dp, &
+         & 0.0727409695487893_dp, 0.0727399087996190_dp, 0.0727396202511130_dp, 0.0727395776619773_dp, &
+         & 0.0727395742807460_dp, 0.0727395123151240_dp, 0.0727390924894564_dp, 0.0727375491753719_dp, &
+         & 0.0727334353398419_dp, 0.0727244326826479_dp, 0.0727071929398591_dp, 0.0726772173352828_dp, &
+         & 0.0726287807466264_dp, 0.0725549066404767_dp, 0.0724473981276788_dp, 0.0722969294898803_dp, &
+         & 0.0720932011023905_dp, 0.0718251587313716_dp, 0.0714812756465477_dp, 0.0710498928733188_dp, &
+         & 0.0705196092940099_dp, 0.0698797093875214_dp, 0.0691206124533608_dp, 0.0682343235660170_dp, &
+         & 0.0672148636745362_dp, 0.0660586546193400_dp, 0.0647648347678569_dp, 0.0633354827399586_dp, &
+         & 0.0617757304240456_dp, 0.0600937521088269_dp, 0.0583006237973365_dp, 0.0564100551274720_dp, &
+         & 0.0544380050695565_dp, 0.0524022008167009_dp, 0.0503215860981356_dp, 0.0482157297751229_dp, &
+         & 0.0461042276194377_dp, 0.0440061296074958_dp, 0.0419394221064948_dp, 0.0399205892465204_dp, &
+         & 0.0379642708428491_dp, 0.0360830259641887_dp, 0.0342872026258618_dp, 0.0325849064593484_dp, &
+         & 0.0309820557041860_dp, 0.0294825068020828_dp, 0.0280882336659971_dp, 0.0267995434815589_dp, &
+         & 0.0256153122888492_dp, 0.0245332248519645_dp, 0.0235500058417131_dp, 0.0226616329537990_dp, &
+         & 0.0218635264426723_dp, 0.0211507127450687_dp, 0.0205179619731553_dp, 0.0199599003166213_dp, &
+         & 0.0194710992794853_dp, 0.0190461444979775_dp, 0.0186796875901649_dp, 0.0183664848826339_dp, &
+         & 0.0181014268297162_dp, 0.0178795615436655_dp, 0.0176961152380670_dp, 0.0175465116913074_dp, &
+         & 0.0174263921264384_dp, 0.0173316362106419_dp, 0.0172583842054763_dp, 0.0172030596764472_dp, &
+         & 0.0171623916435095_dp, 0.0171334346559604_dp, 0.0171135850450241_dp, 0.0171005915656224_dp, &
+         & 0.0170925587762127_dp, 0.0170879418146512_dp, 0.0170855316620901_dp, 0.0170844305160642_dp, &
+         & 0.0170840174498181_dp, 0.0170839050869347_dp, 0.0170838885024409_dp, 0.0170838871737544_dp, &
+         & 0.0170838626712282_dp, 0.0170836966639882_dp, 0.0170830864134359_dp, 0.0170814597840092_dp, &
+         & 0.0170779003238550_dp, 0.0170710849821631_dp, 0.0170592375829415_dp, 0.0170401012148886_dp, &
+         & 0.0170109327029735_dp, 0.0169685222279696_dp, 0.0169092408398228_dp, 0.0168291179640931_dp, &
+         & 0.0167239499288314_dp, 0.0165894389755010_dp, 0.0164213601613739_dp, 0.0162157510825267_dp, &
+         & 0.0159691166285825_dp, 0.0156786382698613_dp, 0.0153423750228541_dp, 0.0149594416296281_dp, &
+         & 0.0145301490075980_dp, 0.0140560930345544_dp, 0.0135401804439113_dp, 0.0129865849865780_dp, &
+         & 0.0124006326983306_dp, 0.0117886213298988_dp, 0.0111575847931391_dp, 0.0105150180104943_dp, &
+         & 0.0098685804355654_dp, 0.0092257979772796_dp, 0.0085937834831782_dp, 0.0079789951078055_dp, &
+         & 0.0073870487222649_dp, 0.0068225941172813_dp, 0.0062892559954264_dp, 0.0057896324064899_dp, &
+         & 0.0053253388607715_dp, 0.0048970874820924_dp, 0.0045047941637222_dp, 0.0041477072891496_dp, &
+         & 0.0038245482137853_dp, 0.0035336503536740_dp, 0.0032730841408011_dp, 0.0030407605735690_dp, &
+         & 0.0028345139259045_dp, 0.0026521686014149_dp, 0.0024915938309107_dp, 0.0023507465088528_dp, &
+         & 0.0022277009547764_dp, 0.0021206654054708_dp, 0.0020279871414885_dp, 0.0019481496668305_dp, &
+         & 0.0018797654627463_dp, 0.0018215668745256_dp, 0.0017723964972163_dp, 0.0017311975805114_dp, &
+         & 0.0016970046503104_dp, 0.0016689346207954_dp, 0.0016461788258226_dp, 0.0016279963878247_dp, &
+         & 0.0016137091567856_dp, 0.0016026982151374_dp, 0.0015944017571172_dp, 0.0015883140344073_dp, &
+         & 0.0015839849938573_dp, 0.0015810202037443_dp, 0.0015790806578622_dp, 0.0015778820709613_dp, &
+         & 0.0015771933295952_dp, 0.0015768338394224_dp, 0.0015766696070756_dp, 0.0015766080013577_dp, &
+         & 0.0015765912434205_dp, 0.0015765887700070_dp, 0.0015765885699892_dp, 0.0015765848582419_dp, &
+         & 0.0015765597108270_dp, 0.0015764672691034_dp, 0.0015762208751511_dp, 0.0015756817582400_dp, &
+         & 0.0015746497072513_dp, 0.0015728562833175_dp, 0.0015699611794133_dp, 0.0015655523826155_dp, &
+         & 0.0015591508178119_dp, 0.0015502201165560_dp, 0.0015381820284546_dp, 0.0015224377386005_dp, &
+         & 0.0015023949460726_dp, 0.0014774999848726_dp, 0.0014472735529694_dp, 0.0014113478412412_dp, &
+         & 0.0013695021660851_dp, 0.0013216937872755_dp, 0.0012680805744765_dp, 0.0012090326522127_dp, &
+         & 0.0011451311630566_dp, 0.0010771537337888_dp, 0.0010060474328242_dp, 0.0009328899679275_dp, &
+         & 0.0008588386969279_dp, 0.0007850673377447_dp, 0.0007126967534958_dp, 0.0006427348986051_dp, &
+         & 0.0005760322238615_dp, 0.0005132516096467_dp, 0.0004548706335328_dp, 0.0004012305910095_dp, &
+         & 0.0003527145725855_dp, 0.0003092307887869_dp, 0.0002703934495969_dp, 0.0002359991430012_dp, &
+         & 0.0002061398865436_dp, 0.0001801218740241_dp, 0.0001574577359804_dp, 0.0001377760599439_dp, &
+         & 1.2074362514624700e-04_dp, 1.0606356994458100e-04_dp, 9.3416418707192902e-05_dp, 8.2529649091611605e-05_dp, &
+         & 7.3154351795778894e-05_dp, 6.4937608513559994e-05_dp, 5.7653938156931899e-05_dp, 5.1138947981144197e-05_dp, &
+         & 4.5270712377032403e-05_dp, 3.9958698081932198e-05_dp, 3.5135531646801603e-05_dp, 3.0823510741129198e-05_dp, &
+         & 2.6913416590446101e-05_dp, 2.3325110490190999e-05_dp, 2.0043814870973599e-05_dp, 1.7057502589068500e-05_dp, &
+         & 1.4357584092294899e-05_dp, 1.1938446604631300e-05_dp, 9.7938420964283102e-06_dp, 7.9120442109115208e-06_dp, &
+         & 6.2783824859025100e-06_dp, 4.8789505484592197e-06_dp, 3.6997642212099899e-06_dp, 2.7255208721044302e-06_dp, &
+         & 1.9391929697576399e-06_dp, 1.3221090853221500e-06_dp, 8.5425880058664905e-07_dp, 5.1469692152750202e-07_dp, &
+         &  2.8199075075008301e-07_dp, -1.4210854715202001e-14_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, &
+         & -2.8421709430404001e-14_dp &
+         &]
+      case (70)
+         out = [&
+         & 70.0000000000000000_dp, 69.9999999247270068_dp, 69.9999975971382042_dp, 69.9999818273551995_dp, &
+         & 69.9999238555678005_dp, 69.9997693210190022_dp, 69.9994311104721021_dp, 69.9987833375492983_dp, &
+         & 69.9976566695544022_dp, 69.9958351766907043_dp, 69.9930548314792986_dp, 69.9890037356129966_dp, &
+         & 69.9833240996918988_dp, 69.9756159507167013_dp, 69.9654424952792056_dp, 69.9523370251791050_dp, &
+         & 69.9358112181745071_dp, 69.9153646602256060_dp, 69.8904953961777977_dp, 69.8607113013296015_dp, &
+         & 69.8255420536518017_dp, 69.7845514719211053_dp, 69.7373499653990052_dp, 69.6836068139115952_dp, &
+         & 69.6230619636186958_dp, 69.5555369866978026_dp, 69.4809448189846961_dp, 69.3992978670138996_dp, &
+         & 69.3107140745018029_dp, 69.2154205666285947_dp, 69.1137545538318960_dp, 69.0061612756828993_dp, &
+         & 68.8931888945872970_dp, 68.7754803980063940_dp, 68.6537627223326012_dp, 68.5288334557017009_dp, &
+         & 68.4015455963038050_dp, 68.2727909261544994_dp, 68.1434826019200983_dp, 68.0145375640081937_dp, &
+         & 67.8868593275636982_dp, 67.7613216527718976_dp, 67.6387535073469053_dp, 67.5199256417294009_dp, &
+         & 67.4055390063545019_dp, 67.2962151570640970_dp, 67.1924887233254964_dp, 67.0948019558564965_dp, &
+         & 67.0035013250229952_dp, 66.9188361070917068_dp, 66.8409588695464976_dp, 66.7699277465449939_dp, &
+         & 66.7057103788324071_dp, 66.6481893771769052_dp, 66.5971691534133043_dp, 66.5523839478404966_dp, &
+         & 66.5135068659394051_dp, 66.4801597215272011_dp, 66.4519234682607021_dp, 66.4283489878235969_dp, &
+         & 66.4089679922892060_dp, 66.3933037912305934_dp, 66.3808816722815038_dp, 66.3712386480485037_dp, &
+         & 66.3639323333078011_dp, 66.3585487347715031_dp, 66.3547087614717981_dp, 66.3520732966675979_dp, &
+         & 66.3503467113980037_dp, 66.3492787442276040_dp, 66.3486647198737955_dp, 66.3483441295278027_dp, &
+         & 66.3481976458863016_dp, 66.3481426942870058_dp, 66.3481277460698067_dp, 66.3481255397423979_dp, &
+         & 66.3481252503188017_dp, 66.3481185070958048_dp, 66.3480728207499055_dp, 66.3479048726457989_dp, &
+         & 66.3474571826365036_dp, 66.3464774137213027_dp, 66.3446009996525987_dp, 66.3413377766375021_dp, &
+         & 66.3360632100996952_dp, 66.3280147036524994_dp, 66.3162933593428932_dp, 66.2998714246486998_dp, &
+         & 66.2776055114234026_dp, 66.2482555042372070_dp, 66.2105088906041033_dp, 66.1630100450246061_dp, &
+         & 66.1043937859402035_dp, 66.0333223051051021_dp, 65.9485243509486025_dp, 65.8488353436419942_dp, &
+         & 65.7332369273393056_dp, 65.6008943475691950_dp, 65.4511900064597967_dp, 65.2837516229753021_dp, &
+         & 65.0984736300606954_dp, 64.8955307795762053_dp, 64.6753833784826071_dp, 64.4387740972645986_dp, &
+         & 64.1867168026384007_dp, 63.9204782916867984_dp, 63.6415540775157993_dp, 63.3516394658015969_dp, &
+         & 63.0525970835636969_dp, 62.7464218388072013_dp, 62.4352040928889025_dp, 62.1210917042213993_dp, &
+         & 61.8062516038686027_dp, 61.4928316839325007_dp, 61.1829239528250000_dp, 60.8785300385919967_dp, &
+         & 60.5815301128927999_dp, 60.2936561253007000_dp, 60.0164699107746031_dp, 59.7513463473057982_dp, &
+         & 59.4994613954603011_dp, 59.2617846193269031_dp, 59.0390756921202993_dp, 58.8318844063287969_dp, &
+         & 58.6405537901622012_dp, 58.4652260306634020_dp, 58.3058509850910980_dp, 58.1621971103745992_dp, &
+         & 58.0338646543995011_dp, 57.9203009393852000_dp, 57.8208175357441974_dp, 57.7346090826226970_dp, &
+         & 57.6607734647368986_dp, 57.5983330081096980_dp, 57.5462563126530000_dp, 57.5034802995514980_dp, &
+         & 57.4689320184249013_dp, 57.4415497358519005_dp, 57.4203028157310982_dp, 57.4042099057461996_dp, &
+         & 57.3923549650748015_dp, 57.3839007078406027_dp, 57.3780990950162035_dp, 57.3742985836354009_dp, &
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+         & 0.0133724126156523_dp, 0.0133325702924623_dp, 0.0132769134193325_dp, 0.0132017538814324_dp, &
+         & 0.0131032136717693_dp, 0.0129773676276699_dp, 0.0128204141717703_dp, 0.0126288682092905_dp, &
+         & 0.0123997671837230_dp, 0.0121308782253919_dp, 0.0118208917973845_dp, 0.0114695857568989_dp, &
+         & 0.0110779437703457_dp, 0.0106482138816659_dp, 0.0101838968304406_dp, 0.0096896592407774_dp, &
+         & 0.0091711735266244_dp, 0.0086348934757296_dp, 0.0080877810230788_dp, 0.0075370047487269_dp, &
+         & 0.0069896333722852_dp, 0.0064523475526386_dp, 0.0059311906513955_dp, 0.0054313742392509_dp, &
+         & 0.0049571477981942_dp, 0.0045117352681956_dp, 0.0040973347503552_dp, 0.0037151725834832_dp, &
+         & 0.0033655996279833_dp, 0.0030482160664320_dp, 0.0027620112048083_dp, 0.0025055062646828_dp, &
+         & 0.0022768905173223_dp, 0.0020741438471532_dp, 0.0018951415396771_dp, 0.0017377394717783_dp, &
+         & 0.0015998397783790_dp, 0.0014794384180021_dp, 0.0013746568903628_dp, 0.0012837607542195_dp, &
+         & 0.0012051676563516_dp, 0.0011374474203763_dp, 0.0010793164503582_dp, 0.0010296283491584_dp, &
+         & 0.0009873622905019_dp, 0.0009516103472578_dp, 0.0009215646838214_dp, 0.0008965052740706_dp, &
+         & 0.0008757886064501_dp, 0.0008588376762617_dp, 0.0008451334352628_dp, 0.0008342077628214_dp, &
+         & 0.0008256379321523_dp, 0.0008190424683931_dp, 0.0008140782282595_dp, 0.0008104384760799_dp, &
+         & 0.0008078516906096_dp, 0.0008060808105199_dp, 0.0008049226234590_dp, 0.0008042070179926_dp, &
+         & 0.0008037958536278_dp, 0.0008035812576850_dp, 0.0008034832227821_dp, 0.0008034464490265_dp, &
+         & 0.0008034364459348_dp, 0.0008034349695123_dp, 0.0008034348500985_dp, 0.0008034326343278_dp, &
+         & 0.0008034176222509_dp, 0.0008033624384183_dp, 0.0008032153544377_dp, 0.0008028935454121_dp, &
+         & 0.0008022775514718_dp, 0.0008012072988777_dp, 0.0007994800770774_dp, 0.0007968509105183_dp, &
+         & 0.0007930357834169_dp, 0.0007877181526936_dp, 0.0007805590893497_dp, 0.0007712112024478_dp, &
+         & 0.0007593362038421_dp, 0.0007446255724233_dp, 0.0007268232952526_dp, 0.0007057491574471_dp, &
+         & 0.0006813205991705_dp, 0.0006535708578781_dp, 0.0006226610658615_dp, 0.0005888842532329_dp, &
+         & 0.0005526598437342_dp, 0.0005145181857387_dp, 0.0004750758176471_dp, 0.0004350033484997_dp, &
+         & 0.0003949888381101_dp, 0.0003557001962804_dp, 0.0003177502569827_dp, 0.0002816677745159_dp, &
+         & 0.0002478767026446_dp, 0.0002166849380387_dp, 0.0001882824564490_dp, 0.0001627476446799_dp, &
+         & 1.4005992137811101e-04_dp, 1.2011674473910700e-04_dp, 1.0275348458321800e-04_dp, 8.7764263938083800e-05_dp, &
+         & 7.4920740232187200e-05_dp, 6.3986160498075205e-05_dp, 5.4724967640140703e-05_dp, 4.6910432104141398e-05_dp, &
+         & 4.0331294471229699e-05_dp, 3.4796189481767201e-05_dp, 3.0135348353610401e-05_dp, 2.6200650594887500e-05_dp, &
+         & 2.2864725494287099e-05_dp, 2.0019234781898400e-05_dp, 1.7573037240481399e-05_dp, 1.5450809485173499e-05_dp, &
+         & 1.3591667595846999e-05_dp, 1.1947318029115200e-05_dp, 1.0480090423925500e-05_dp, 9.1612705830357299e-06_dp, &
+         & 7.9696130796946801e-06_dp, 6.8898204261813598e-06_dp, 5.9110698913400500e-06_dp, 5.0257525145980304e-06_dp, &
+         & 4.2284438563911004e-06_dp, 3.5150507073922199e-06_dp, 2.8821219899555200e-06_dp, 2.3263453670097100e-06_dp, &
+         & 1.8442249967165500e-06_dp, 1.4319002445972701e-06_dp, 1.0850584715171901e-06_dp, 7.9890969573170899e-07_dp, &
+         & 5.6820600491391804e-07_dp, 1.4210854715202001e-14_dp, 2.8421709430404001e-14_dp, 2.8421709430404001e-14_dp, &
+         & 2.8421709430404001e-14_dp, 1.4210854715202001e-14_dp, 2.8421709430404001e-14_dp, 1.4210854715202001e-14_dp, &
+         & 1.4210854715202001e-14_dp &
+         &]
+      case (71)
+         out = [&
+         & 71.0000000000000000_dp, 70.9999999232093018_dp, 70.9999975486875030_dp, 70.9999814609261932_dp, &
+         & 70.9999223202082987_dp, 70.9997646696530040_dp, 70.9994196394631985_dp, 70.9987588048093983_dp, &
+         & 70.9976094182912050_dp, 70.9957511953487028_dp, 70.9929147829244016_dp, 70.9887819900757933_dp, &
+         & 70.9829878064201978_dp, 70.9751241827588046_dp, 70.9647455004465968_dp, 70.9513756141968059_dp, &
+         & 70.9345163185230945_dp, 70.9136570613934936_dp, 70.8882857091092973_dp, 70.8579001517957039_dp, &
+         & 70.8220205259618041_dp, 70.7802018155668975_dp, 70.7320465724733936_dp, 70.6772174690300972_dp, &
+         & 70.6154493602222999_dp, 70.5465604938556936_dp, 70.4704624713271954_dp, 70.3871685377987006_dp, &
+         & 70.2967997790651964_dp, 70.1995888319325019_dp, 70.0958807809428066_dp, 69.9861310171537951_dp, &
+         & 69.8708999687935943_dp, 69.7508447678854964_dp, 69.6267080763636983_dp, 69.4993044433662988_dp, &
+         & 69.3695046872307017_dp, 69.2382188799718961_dp, 69.1063785528429975_dp, 68.9749187389997047_dp, &
+         & 68.8447604285894954_dp, 68.7167939418038998_dp, 68.5918636374415058_dp, 68.4707542791620938_dp, &
+         & 68.3541792881247972_dp, 68.2427710258572944_dp, 68.1370731789500041_dp, 68.0375352588396964_dp, &
+         & 67.9445091848460976_dp, 67.8582478846892059_dp, 67.7789058212470934_dp, 67.7065413345333980_dp, &
+         & 67.6411206713438986_dp, 67.5825235598449012_dp, 67.5305501713191063_dp, 67.4849292957428020_dp, &
+         & 67.4453275417794060_dp, 67.4113593555649970_dp, 67.3825976370672066_dp, 67.3585847188483058_dp, &
+         & 67.3388434608838935_dp, 67.3228882079117028_dp, 67.3102353537504001_dp, 67.3004132611796990_dp, &
+         & 67.2929712970991005_dp, 67.2874877612706968_dp, 67.2835765131064960_dp, 67.2808921343600019_dp, &
+         & 67.2791335054806012_dp, 67.2780457186047016_dp, 67.2774202991966064_dp, 67.2770937594045932_dp, &
+         & 67.2769445573662068_dp, 67.2768885859949961_dp, 67.2768733603743954_dp, 67.2768711131028994_dp, &
+         & 67.2768708183081969_dp, 67.2768639499469998_dp, 67.2768174157719017_dp, 67.2766463509608030_dp, &
+         & 67.2761903529764993_dp, 67.2751924023718004_dp, 67.2732811686164069_dp, 67.2699573951980057_dp, &
+         & 67.2645849666575941_dp, 67.2563871547428960_dp, 67.2444484207894959_dp, 67.2277220154387010_dp, &
+         & 67.2050434635388001_dp, 67.1751498506916960_dp, 67.1367046385984025_dp, 67.0883275307469944_dp, &
+         & 67.0286286915630996_dp, 66.9562463967209993_dp, 66.8698869687921018_dp, 66.7683656439056961_dp, &
+         & 66.6506468399851002_dp, 66.5158821794679938_dp, 66.3634445874400001_dp, 66.1929568677452949_dp, &
+         & 66.0043133749440045_dp, 65.7976937515993967_dp, 65.5735681652635947_dp, 65.3326940060664043_dp, &
+         & 65.0761045197831010_dp, 64.8050902716919950_dp, 64.5211745979590034_dp, 64.2260842756351025_dp, &
+         & 63.9217165516869983_dp, 63.6101034848611988_dp, 63.2933743669785969_dp, 62.9737168907645000_dp, &
+         & 62.6533377660588968_dp, 62.3344236380089001_dp, 62.0191033515021033_dp, 61.7094127273833024_dp, &
+         & 61.4072629774565968_dp, 61.1144136573760974_dp, 60.8324506854912030_dp, 60.5627695412929015_dp, &
+         & 60.3065634061385012_dp, 60.0648157911930980_dp, 59.8382971263321011_dp, 59.6275648252923034_dp, &
+         & 59.4329664416875971_dp, 59.2546456368185019_dp, 59.0925507610190976_dp, 58.9464458932192983_dp, &
+         & 58.8159241904826970_dp, 58.7004233794583001_dp, 58.5992431850351991_dp, 58.5115644462204969_dp, &
+         & 58.4364696209725025_dp, 58.3729643339291968_dp, 58.3199995760495966_dp, 58.2764941251562973_dp, &
+         & 58.2413567234351035_dp, 58.2135075246341032_dp, 58.1918983127388998_dp, 58.1755309979649979_dp, &
+         & 58.1634739172411983_dp, 58.1548755064354026_dp, 58.1489749707807988_dp, 58.1451096574073034_dp, &
+         & 58.1427189273512965_dp, 58.1413444304305003_dp, 58.1406268004419999_dp, 58.1402989050971968_dp, &
+         & 58.1401758995413971_dp, 58.1401424389825010_dp, 58.1401375002716989_dp, 58.1401370642776030_dp, &
+         & 58.1401285211865968_dp, 58.1400706404762033_dp, 58.1398578646760029_dp, 58.1392906810848018_dp, &
+         & 58.1380494064179985_dp, 58.1356721891456019_dp, 58.1315381013532004_dp, 58.1248560825903979_dp, &
+         & 58.1146603714356971_dp, 58.0998129140824986_dp, 58.0790130696685978_dp, 58.0508147356916027_dp, &
+         & 58.0136507910689971_dp, 57.9658644991382985_dp, 57.9057472320689968_dp, 57.8315815809583000_dp, &
+         & 57.7416886175294977_dp, 57.6344777949055995_dp, 57.5084977419083003_dp, 57.3624860447814982_dp, &
+         & 57.1954160464582984_dp, 57.0065387427938006_dp, 56.7954180210909030_dp, 56.5619577566261995_dp, &
+         & 56.3064196312445020_dp, 56.0294309295890969_dp, 55.7319819698212982_dp, 55.4154132147073000_dp, &
+         & 55.0813924797197032_dp, 54.7318830135624026_dp, 54.3691035801017009_dp, 53.9954820128115003_dp, &
+         & 53.6136040164605987_dp, 53.2261592116145010_dp, 52.8358865084803000_dp, 52.4455208262978019_dp, &
+         & 52.0577429414030988_dp, 51.6751338832846017_dp, 51.3001348607688996_dp, 50.9350132566976015_dp, &
+         & 50.5818348381237968_dp, 50.2424420288685027_dp, 49.9184378959607997_dp, 49.6111754026108969_dp, &
+         & 49.3217514553472967_dp, 49.0510052942576991_dp, 48.7995208180106985_dp, 48.5676324815635994_dp, &
+         & 48.3554344440052972_dp, 48.1627926729696014_dp, 47.9893597303468979_dp, 47.8345919728324986_dp, &
+         & 47.6977689012593018_dp, 47.5780143849761004_dp, 47.4743194715439003_dp, 47.3855664675457007_dp, &
+         & 47.3105539437918026_dp, 47.2480222792203008_dp, 47.1966793151837010_dp, 47.1552256496067983_dp, &
+         & 47.1223790636175011_dp, 47.0968975469994007_dp, 47.0776003783745978_dp, 47.0633867258207985_dp, &
+         & 47.0532512668645992_dp, 47.0462963849800033_dp, 47.0417405824423014_dp, 47.0389228542286020_dp, &
+         & 47.0373028903438026_dp, 47.0364571087079995_dp, 47.0360706607831034_dp, 47.0359256902892966_dp, &
+         & 47.0358862547493999_dp, 47.0358804341445023_dp, 47.0358799672600014_dp, 47.0358713508723980_dp, &
+         & 47.0358129735713035_dp, 47.0355983723195976_dp, 47.0350263232720991_dp, 47.0337744033489997_dp, &
+         & 47.0313768093963986_dp, 47.0272073185286033_dp, 47.0204681654552985_dp, 47.0101854876199994_dp, &
+         & 46.9952118441389004_dp, 46.9742361460139008_dp, 46.9458011389082017_dp, 46.9083283530334967_dp, &
+         & 46.8601501770447015_dp, 46.7995484278047016_dp, 46.7247984840197006_dp, 46.6342177432030027_dp, &
+         & 46.5262168677554016_dp, 46.3993520309009000_dp, 46.2523761825024025_dp, 46.0842872528843017_dp, &
+         & 45.8943712192943991_dp, 45.6822380857298995_dp, 45.4478490728495004_dp, 45.1915336694332979_dp, &
+         & 44.9139956393966031_dp, 44.6163075815475025_dp, 44.2998941739800003_dp, 43.9665047729194001_dp, &
+         & 43.6181765493046001_dp, 43.2571898049857992_dp, 42.8860174772554998_dp, 42.5072710728799024_dp, &
+         & 42.1236453314123978_dp, 41.7378637824067980_dp, 41.3526270476961031_dp, 40.9705653037811004_dp, &
+         & 40.5941958433897980_dp, 40.2258862426644015_dp, 39.8678233077681980_dp, 39.5219877579760990_dp, &
+         & 39.1901344817459005_dp, 38.8737781401162010_dp, 38.5741838520618003_dp, 38.2923626573739000_dp, &
+         & 38.0290714090065975_dp, 37.7848167048748991_dp, 37.5598624388417974_dp, 37.3542405396780026_dp, &
+         & 37.1677644771523035_dp, 37.0000451425228007_dp, 36.8505087491067016_dp, 36.7184164383736018_dp, &
+         & 36.6028853098664015_dp, 36.5029106129748016_dp, 36.4173888417177025_dp, 36.3451414596242017_dp, &
+         & 36.2849389525397967_dp, 36.2355248667897030_dp, 36.1956394442497995_dp, 36.1640424209892970_dp, &
+         & 36.1395345190894020_dp, 36.1209771384551033_dp, 36.1073097524482023_dp, 36.0975645320460004_dp, &
+         & 36.0908777701216010_dp, 36.0864977503638968_dp, 36.0837888020855999_dp, 36.0822313984397027_dp, &
+         & 36.0814182854375005_dp, 36.0810467655769997_dp, 36.0809073953575989_dp, 36.0808694832509005_dp, &
+         & 36.0808638875024030_dp, 36.0808634559043995_dp, 36.0808557057901993_dp, 36.0808031976245971_dp, &
+         & 36.0806101720338006_dp, 36.0800956365280001_dp, 36.0789695873977010_dp, 36.0768130656869985_dp, &
+         & 36.0730628472246977_dp, 36.0670014727497019_dp, 36.0577532150334008_dp, 36.0442864526394970_dp, &
+         & 36.0254227704973005_dp, 35.9998529315648028_dp, 35.9661596583182970_dp, 35.9228469268290027_dp, &
+         & 35.8683752126273987_dp, 35.8012018439397011_dp, 35.7198253269385972_dp, 35.6228322271603020_dp, &
+         & 35.5089449430294977_dp, 35.3770685156084994_dp, 35.2263345070718970_dp, 35.0561399696747031_dp, &
+         & 34.8661796317499011_dp, 34.6564696537353996_dp, 34.4273616515451977_dp, 34.1795461323433969_dp, &
+         & 33.9140450141889005_dp, 33.6321934720756985_dp, 33.3356119270502020_dp, 33.0261695258440966_dp, &
+         & 32.7059408983281017_dp, 32.3771582859633966_dp, 32.0421612743992981_dp, 31.7033463233983994_dp, &
+         & 31.3631180760927002_dp, 31.0238440794433004_dp, 30.6878141101204989_dp, 30.3572048361938016_dp, &
+         & 30.0340501145156011_dp, 29.7202168728204015_dp, 29.4173862799902999_dp, 29.1270397706345996_dp, &
+         & 28.8504494450621003_dp, 28.5886723853238998_dp, 28.3425484819506011_dp, 28.1127014285256003_dp, &
+         & 27.8995425953610017_dp, 27.7032775318661990_dp, 27.5239148698390999_dp, 27.3612774111524999_dp, &
+         & 27.2150151882629991_dp, 27.0846202882465015_dp, 26.9694432318750010_dp, 26.8687106975935990_dp, &
+         & 26.7815443739577006_dp, 26.7069807108779003_dp, 26.6439913185654014_dp, 26.5915037335537008_dp, &
+         & 26.5484222354789985_dp, 26.5136483598776991_dp, 26.4861007156972015_dp, 26.4647336867312006_dp, &
+         & 26.4485545789813017_dp, 26.4366387756296994_dp, 26.4281424813330013_dp, 26.4223126798214984_dp, &
+         & 26.4184939933529002_dp, 26.4161322175699986_dp, 26.4147744071043000_dp, 26.4140655007355996_dp, &
+         & 26.4137415939763009_dp, 26.4136200851121004_dp, 26.4135870317306001_dp, 26.4135821531199007_dp, &
+         & 26.4135817837262010_dp, 26.4135752399538006_dp, 26.4135309049302016_dp, 26.4133679246489983_dp, &
+         & 26.4129334787162016_dp, 26.4119827026861991_dp, 26.4101618462077994_dp, 26.4069953407395985_dp, &
+         & 26.4018773702878988_dp, 26.3940684453827004_dp, 26.3826973720143982_dp, 26.3667688802623985_dp, &
+         & 26.3451770284432989_dp, 26.3167243253144996_dp, 26.2801463146804011_dp, 26.2341411463212992_dp, &
+         & 26.1774034211473001_dp, 26.1086613579629017_dp, 26.0267160995849984_dp, 25.9304817759107991_dp, &
+         & 25.8190247909376005_dp, 25.6916007186902995_dp, 25.5476871945648014_dp, 25.3870112823334004_dp, &
+         & 25.2095699834038989_dp, 25.0156428259897012_dp, 24.8057958129341998_dp, 24.5808763991818999_dp, &
+         & 24.3419995930993984_dp, 24.0905257097604988_dp, 23.8280307274524006_dp, 23.5562705849648992_dp, &
+         & 23.2771410729463994_dp, 22.9926351772708983_dp, 22.7047997870205016_dp, 22.4156935616525992_dp, &
+         & 22.1273474699355006_dp, 21.8417291137756990_dp, 21.5607115083163983_dp, 21.2860465867943986_dp, &
+         & 21.0193433953959001_dp, 20.7620507631882987_dp, 20.5154441607024012_dp, 20.2806164594644009_dp, &
+         & 20.0584723306503996_dp, 19.8497260418052015_dp, 19.6549024114531008_dp, 19.4743406633545000_dp, &
+         & 19.3082008952945010_dp, 19.1564728538545985_dp, 19.0189866957850988_dp, 18.8954254221093016_dp, &
+         & 18.7853386913842009_dp, 18.6881577482701005_dp, 18.6032112355925996_dp, 18.5297416854346011_dp, &
+         & 18.4669225019376988_dp, 18.4138752522195013_dp, 18.3696870714413016_dp, 18.3334279653552983_dp, &
+         & 18.3041677623760002_dp, 18.2809924325311997_dp, 18.2630194584506995_dp, 18.2494119197521982_dp, &
+         & 18.2393909420693987_dp, 18.2322461695708995_dp, 18.2273439475720984_dp, 18.2241329502458989_dp, &
+         & 18.2221470560905985_dp, 18.2210053575167983_dp, 18.2204092860472997_dp, 18.2201369356308014_dp, &
+         & 18.2200347675160010_dp, 18.2200069753049014_dp, 18.2200028732324988_dp, 18.2200025652885991_dp, &
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+         & 0.6525017918660300_dp, 0.6433235096429970_dp, 0.6338622341925770_dp, 0.6241879263117770_dp, &
+         & 0.6143728987684089_dp, 0.6044901953834910_dp, 0.5946120526229350_dp, 0.5848084940001140_dp, &
+         & 0.5751460949220329_dp, 0.5656869423394110_dp, 0.5564878008212020_dp, 0.5475994853447620_dp, &
+         & 0.5390664317669260_dp, 0.5309264489188050_dp, 0.5232106315885120_dp, 0.5159434111722450_dp, &
+         & 0.5091427201915200_dp, 0.5028202478234360_dp, 0.4969817656776880_dp, 0.4916275058829170_dp, &
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+         & 0.4717941968955730_dp, 0.4690949946264170_dp, 0.4667638991325300_dp, 0.4647732265090380_dp, &
+         & 0.4630939997342130_dp, 0.4616964495232590_dp, 0.4605505119084370_dp, 0.4596263170004140_dp, &
+         & 0.4588946616673440_dp, 0.4583274572874810_dp, 0.4578981424775750_dp, 0.4575820499455290_dp, &
+         & 0.4573567164948290_dp, 0.4572021258043010_dp, 0.4571008749404230_dp, 0.4570382575915060_dp, &
+         & 0.4570022596327870_dp, 0.4569834656859510_dp, 0.4569748786293250_dp, 0.4569716573364960_dp, &
+         & 0.4569707810675540_dp, 0.4569706517321350_dp, 0.4569706416398560_dp, 0.4569704589027740_dp, &
+         & 0.4569692208327610_dp, 0.4569646695670430_dp, 0.4569525376455630_dp, 0.4569259876477790_dp, &
+         & 0.4568751428183190_dp, 0.4567867282169400_dp, 0.4566438400961770_dp, 0.4564258590458790_dp, &
+         & 0.4561085197939580_dp, 0.4556641472261160_dp, 0.4550620639768400_dp, 0.4542691696788950_dp, &
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+         & 0.4330550226175380_dp, 0.4286755713358730_dp, 0.4238603851292590_dp, 0.4186232987898250_dp, &
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+         & 0.2522201282276770_dp, 0.2522141416962280_dp, 0.2522118959537350_dp, 0.2522112850584650_dp, &
+         & 0.2522111948916430_dp, 0.2522111877959220_dp, 0.2522110585488240_dp, 0.2522101828815120_dp, &
+         & 0.2522069638480960_dp, 0.2521983831814650_dp, 0.2521796050821620_dp, 0.2521436446137530_dp, &
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+         & 0.1162654059008620_dp, 0.1162653256154870_dp, 0.1162647816711480_dp, 0.1162627820863090_dp, &
+         & 0.1162574520208610_dp, 0.1162457877776010_dp, 0.1162234511749890_dp, 0.1161846133264110_dp, &
+         & 0.1161218563156870_dp, 0.1160261405802600_dp, 0.1158868448846280_dp, 0.1156918844324930_dp, &
+         & 0.1154279107642960_dp, 0.1150805944780300_dp, 0.1146349884085960_dp, 0.1140759647191630_dp, &
+         & 0.1133887145308850_dp, 0.1125592935286050_dp, 0.1115751918550100_dp, 0.1104259020921180_dp, &
+         & 0.1091034558356090_dp, 0.1076028978930450_dp, 0.1059226679627160_dp, 0.1040648630536940_dp, &
+         & 0.1020353598754440_dp, 0.0998437846128724_dp, 0.0975033272514736_dp, 0.0950304080135425_dp, &
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+         & 0.0814137034535349_dp, 0.0786029770717676_dp, 0.0758173533175039_dp, 0.0730779164981072_dp, &
+         & 0.0704038521886474_dp, 0.0678121591391374_dp, 0.0653174665463183_dp, 0.0629319501245220_dp, &
+         & 0.0606653358052256_dp, 0.0585249768504212_dp, 0.0565159886332083_dp, 0.0546414251507201_dp, &
+         & 0.0529024822226205_dp, 0.0512987140034511_dp, 0.0498282515991519_dp, 0.0484880149759590_dp, &
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+         & 0.0398934888375635_dp, 0.0398466172544119_dp, 0.0398144760422383_dp, 0.0397934314989925_dp, &
+         & 0.0397804194128923_dp, 0.0397729398392102_dp, 0.0397690351420437_dp, 0.0397672511254257_dp, &
+         & 0.0397665818908308_dp, 0.0397663998438844_dp, 0.0397663729741708_dp, 0.0397663708214111_dp, &
+         & 0.0397663311231895_dp, 0.0397660621625704_dp, 0.0397650734450536_dp, 0.0397624379648676_dp, &
+         & 0.0397566706753025_dp, 0.0397456271369236_dp, 0.0397264270592501_dp, 0.0396954073217302_dp, &
+         & 0.0396481088734220_dp, 0.0395793015763104_dp, 0.0394830504612145_dp, 0.0393528258858424_dp, &
+         & 0.0391816586144529_dp, 0.0389623388091422_dp, 0.0386876553352948_dp, 0.0383506687290236_dp, &
+         & 0.0379450078472843_dp, 0.0374651769280518_dp, 0.0369068569165165_dp, 0.0362671829003318_dp, &
+         & 0.0355449787649178_dp, 0.0347409310589768_dp, 0.0338576867239766_dp, 0.0328998637342579_dp, &
+         & 0.0318739695215697_dp, 0.0307882287811481_dp, 0.0296523291751214_dp, 0.0284770997836006_dp, &
+         & 0.0272741421848934_dp, 0.0260554372125910_dp, 0.0248329514348740_dp, 0.0236182661942763_dp, &
+         & 0.0224222488799768_dp, 0.0212547814491302_dp, 0.0201245556900744_dp, 0.0190389389980510_dp, &
+         & 0.0180039091407878_dp, 0.0170240521030536_dp, 0.0161026138436142_dp, 0.0152415947302416_dp, &
+         & 0.0144418745757946_dp, 0.0137033564927549_dp, 0.0130251189437018_dp, 0.0124055671350334_dp, &
+         & 0.0118425769746437_dp, 0.0113336267106945_dp, 0.0108759129027760_dp, 0.0104664488763433_dp, &
+         & 0.0101021453935886_dp, 0.0097798745785838_dp, 0.0094965189164355_dp, 0.0092490075134322_dp, &
+         & 0.0090343418947327_dp, 0.0088496135369951_dp, 0.0086920152155017_dp, 0.0085588481379943_dp, &
+         & 0.0084475266720574_dp, 0.0083555821882442_dp, 0.0082806671594113_dp, 0.0082205602427194_dp, &
+         & 0.0081731726715901_dp, 0.0081365559226754_dp, 0.0081089103013170_dp, 0.0080885938213271_dp, &
+         & 0.0080741305541352_dp, 0.0080642175034740_dp, 0.0080577290387538_dp, 0.0080537179895686_dp, &
+         & 0.0080514126606204_dp, 0.0080502092527581_dp, 0.0080496594472237_dp, 0.0080494532028865_dp, &
+         & 0.0080493971000522_dp, 0.0080493888194297_dp, 0.0080493881497290_dp, 0.0080493757222513_dp, &
+         & 0.0080492915247134_dp, 0.0080489820113030_dp, 0.0080481570059590_dp, 0.0080463517241043_dp, &
+         & 0.0080428952444862_dp, 0.0080368870600296_dp, 0.0080271833821115_dp, 0.0080123949036022_dp, &
+         & 0.0079908976934462_dp, 0.0079608587369791_dp, 0.0079202772867575_dp, 0.0078670425871650_dp, &
+         & 0.0077990076465966_dp, 0.0077140775551783_dp, 0.0076103094391584_dp, 0.0074860196216662_dp, &
+         & 0.0073398920949899_dp, 0.0071710811979386_dp, 0.0069793006125138_dp, 0.0067648906265134_dp, &
+         & 0.0065288562255290_dp, 0.0062728700330297_dp, 0.0059992360545920_dp, 0.0057108123670133_dp, &
+         & 0.0054108953100780_dp, 0.0051030781372532_dp, 0.0047911087673498_dp, 0.0044787649084270_dp, &
+         & 0.0041697340298157_dp, 0.0038674595917598_dp, 0.0035749291663336_dp, 0.0032944716969467_dp, &
+         & 0.0030277212830612_dp, 0.0027757636113392_dp, 0.0025393068715545_dp, 0.0023187821338695_dp, &
+         & 0.0021143737410796_dp, 0.0019260054481833_dp, 0.0017533156407268_dp, 0.0015956363815803_dp, &
+         & 0.0014518711877543_dp, 0.0013205348881655_dp, 0.0012001994929847_dp, 0.0010895957196482_dp, &
+         & 0.0009877540463776_dp, 0.0008938553255149_dp, 0.0008067913509393_dp, 0.0007258234578416_dp, &
+         & 0.0006504556065465_dp, 0.0005802012536975_dp, 0.0005146532001703_dp, 0.0004534876459417_dp, &
+         & 0.0003972105659926_dp, 0.0003450420228575_dp, 0.0002970039991084_dp, 0.0002530626793629_dp, &
+         & 0.0002131861511288_dp, 0.0001773287289382_dp, 0.0001454221256125_dp, 0.0001174089027387_dp, &
+         & 9.3121640460935905e-05_dp, 7.2326238850450904e-05_dp, 5.4818840169446001e-05_dp, 4.0367571742194700e-05_dp, &
+         & 2.8712847623069100e-05_dp, 1.9571978384647099e-05_dp, 1.2644481259371801e-05_dp, 7.6178157542017297e-06_dp, &
+         &  4.1734627274081504e-06_dp, 1.9933754060730301e-06_dp, 7.6696919393270904e-07_dp, -1.4210854715202001e-14_dp, &
+         & -2.8421709430404001e-14_dp &
+         &]
+      case (72)
+         out = [&
+         & 72.0000000000000000_dp, 71.9999999215938971_dp, 71.9999974971211003_dp, 71.9999810709336003_dp, &
+         & 71.9999206861162975_dp, 71.9997597191785985_dp, 71.9994074308106065_dp, 71.9987326945125972_dp, &
+         & 71.9975591286485042_dp, 71.9956618139954969_dp, 71.9927657297578065_dp, 71.9885459883225991_dp, &
+         & 71.9826298951232957_dp, 71.9746008074068016_dp, 71.9640037170165954_dp, 71.9503524397005947_dp, &
+         & 71.9331382584474994_dp, 71.9118398414018003_dp, 71.8859342351597945_dp, 71.8549087194608944_dp, &
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+         & 70.8471928379810976_dp, 70.7246414473243021_dp, 70.5979312683516014_dp, 70.4678947824995987_dp, &
+         & 70.3354216603977989_dp, 70.2014413392473955_dp, 70.0669048250127986_dp, 69.9327663506409039_dp, &
+         & 69.7999654776091063_dp, 69.6694101547091975_dp, 69.5419611564766029_dp, 69.4184182252767954_dp, &
+         & 69.2995081452576045_dp, 69.1858748899900036_dp, 69.0780719125385048_dp, 68.9765565881217952_dp, &
+         & 68.8816867745472052_dp, 68.7937194219887971_dp, 68.7128111385729028_dp, 68.6390205987514008_dp, &
+         & 68.5723126650659935_dp, 68.5125640787324954_dp, 68.4595705592639945_dp, 68.4130551375273939_dp, &
+         & 68.3726775301748972_dp, 68.3380443467579965_dp, 68.3087199048111984_dp, 68.2842374138323009_dp, &
+         & 68.2641102775608033_dp, 68.2478432565086024_dp, 68.2349432305146024_dp, 68.2249293052141041_dp, &
+         & 68.2173420175681997_dp, 68.2117514144610055_dp, 68.2077638049706962_dp, 68.2050270209189051_dp, &
+         & 68.2032340609368930_dp, 68.2021250393724046_dp, 68.2014874113452976_dp, 68.2011544973272947_dp, &
+         & 68.2010023828004961_dp, 68.2009453188459958_dp, 68.2009297960155010_dp, 68.2009275048763044_dp, &
+         & 68.2009272043272006_dp, 68.2009202018929983_dp, 68.2008727593536008_dp, 68.2006983553010997_dp, &
+         & 68.2002334561380934_dp, 68.1992160255852014_dp, 68.1972674856426977_dp, 68.1938788372146973_dp, &
+         & 68.1884015554494027_dp, 68.1800437675483977_dp, 68.1678720985411957_dp, 68.1508194319088005_dp, &
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+         & 61.0986056384300014_dp, 60.8523752055854033_dp, 60.6216568047005993_dp, 60.4070172235114029_dp, &
+         & 60.2088099216423984_dp, 60.0271810182247023_dp, 59.8620779330664021_dp, 59.7132605400515999_dp, &
+         & 59.5803146907552019_dp, 59.4626679397956011_dp, 59.3596072620528972_dp, 59.2702985037249022_dp, &
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+         & 58.9950646938066967_dp, 58.9666972504970985_dp, 58.9446858855416025_dp, 58.9280139545285024_dp, &
+         & 58.9157324675279028_dp, 58.9069740185944966_dp, 58.9009636568793979_dp, 58.8970263978598965_dp, &
+         & 58.8945911684114023_dp, 58.8931910874252011_dp, 58.8924600998620988_dp, 58.8921261012428019_dp, &
+         & 58.8920008061236970_dp, 58.8919667227467016_dp, 58.8919616921091986_dp, 58.8919612479997028_dp, &
+         & 58.8919525458920035_dp, 58.8918935878187995_dp, 58.8916768515143971_dp, 58.8910991106351034_dp, &
+         & 58.8898347314096000_dp, 58.8874132654066997_dp, 58.8832022263961008_dp, 58.8763958278193016_dp, &
+         & 58.8660103282498000_dp, 58.8508864830364971_dp, 58.8296994275940008_dp, 58.8009761178338977_dp, &
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+         & 0.0019865659711939_dp, 0.0018360019089130_dp, 0.0017018820201997_dp, 0.0015817552406219_dp, &
+         & 0.0014751040600487_dp, 0.0013808091091079_dp, 0.0012978357831770_dp, 0.0012251103927810_dp, &
+         & 0.0011615677762222_dp, 0.0011062634524990_dp, 0.0010583546814473_dp, 0.0010170845857971_dp, &
+         & 0.0009817769333296_dp, 0.0009517911269796_dp, 0.0009264837806882_dp, 0.0009052631133528_dp, &
+         & 0.0008876197505145_dp, 0.0008731095158936_dp, 0.0008613320396194_dp, 0.0008519169484771_dp, &
+         & 0.0008445188230581_dp, 0.0008388181427534_dp, 0.0008345234531504_dp, 0.0008313723708540_dp, &
+         & 0.0008291316666345_dp, 0.0008275970993736_dp, 0.0008265931892311_dp, 0.0008259727954822_dp, &
+         & 0.0008256162980729_dp, 0.0008254302227755_dp, 0.0008253452145226_dp, 0.0008253133267857_dp, &
+         & 0.0008253046526931_dp, 0.0008253033724230_dp, 0.0008253032688543_dp, 0.0008253013453583_dp, &
+         & 0.0008252883137487_dp, 0.0008252404096112_dp, 0.0008251127261900_dp, 0.0008248333523966_dp, &
+         & 0.0008242985411471_dp, 0.0008233691989261_dp, 0.0008218690158373_dp, 0.0008195845931880_dp, &
+         & 0.0008162679536099_dp, 0.0008116418220965_dp, 0.0008054079471407_dp, 0.0007972582732094_dp, &
+         & 0.0007868879663420_dp, 0.0007740093328579_dp, 0.0007583679529262_dp, 0.0007397635128541_dp, &
+         & 0.0007180748077502_dp, 0.0006932889601075_dp, 0.0006655426463311_dp, 0.0006351105795659_dp, &
+         & 0.0006022150702023_dp, 0.0005670842893437_dp, 0.0005301158023201_dp, 0.0004920759601674_dp, &
+         & 0.0004538217802974_dp, 0.0004155549960956_dp, 0.0003777710983144_dp, 0.0003410931480801_dp, &
+         & 0.0003065543263574_dp, 0.0002738291449873_dp, 0.0002429984402994_dp, 0.0002149662776674_dp, &
+         & 0.0001895296354633_dp, 0.0001665276238469_dp, 0.0001465651492651_dp, 0.0001290300213128_dp, &
+         & 1.1331492622446100e-04_dp, 9.9149657842190195e-05_dp, 8.6418371836316496e-05_dp, 7.4973771603481496e-05_dp, &
+         & 6.4488374960092201e-05_dp, 5.4485274574744801e-05_dp, 4.4552025983080098e-05_dp, 3.4588984718197901e-05_dp, &
+         & 2.4923231791262899e-05_dp, 1.6176336373519000e-05_dp, 8.8683912338183307e-06_dp, 3.1084158251815101e-06_dp, &
+         & 2.5446469038570298e-06_dp, 2.0694164106771500e-06_dp, 6.2248237497897197e-07_dp, 1.9502950152627801e-06_dp, &
+         & 2.3336736063583902e-06_dp, 2.2149024374584799e-06_dp, 1.9016044063846500e-06_dp, 1.6028290019676199e-06_dp, &
+         & 1.4132365180330499e-06_dp, 1.3242548533298799e-06_dp, 1.2759025622699499e-06_dp, 1.2113824823245499e-06_dp, &
+         & 1.1043207308603100e-06_dp, 9.5744364614347390e-07_dp, 7.8796921343382596e-07_dp, 6.1553194541374999e-07_dp, &
+         & 4.5594028108553202e-07_dp, 3.1915490694700597e-07_dp, 1.4210854715202001e-14_dp, 2.8421709430404001e-14_dp, &
+         & 2.8421709430404001e-14_dp, 2.8421709430404001e-14_dp, 2.8421709430404001e-14_dp, 2.8421709430404001e-14_dp, &
+         & 2.8421709430404001e-14_dp &
+         &]
+      case (73)
+         out = [&
+         & 73.0000000000000000_dp, 72.9999999200098983_dp, 72.9999974465561934_dp, 72.9999806885150946_dp, &
+         & 72.9999190837597070_dp, 72.9997548648454995_dp, 72.9993954592543020_dp, 72.9987070912718963_dp, &
+         & 72.9975098155698987_dp, 72.9955741681792034_dp, 72.9926195704313017_dp, 72.9883145676835028_dp, &
+         & 72.9822789296529066_dp, 72.9740875856159050_dp, 72.9632763181600978_dp, 72.9493490958837043_dp, &
+         & 72.9317868899389055_dp, 72.9100577920775947_dp, 72.8836282319405058_dp, 72.8519750764087064_dp, &
+         & 72.8145983803451031_dp, 72.7710345419132949_dp, 72.7208695931544042_dp, 72.6637523255107993_dp, &
+         & 72.5994069110559934_dp, 72.5276446372924966_dp, 72.4483743339301043_dp, 72.3616110440632951_dp, &
+         & 72.2674824905353006_dp, 72.1662329204823010_dp, 72.0582239828000013_dp, 71.9439324046069970_dp, &
+         & 71.8239443772744011_dp, 71.6989467279079946_dp, 71.5697151218822967_dp, 71.4370996983686979_dp, &
+         & 71.3020086677296945_dp, 71.1653904854408950_dp, 71.0282152561202054_dp, 70.8914560139527055_dp, &
+         & 70.7560704785386037_dp, 70.6229838080883070_dp, 70.4930727768200995_dp, 70.3671517019802053_dp, &
+         & 70.2459603478079941_dp, 70.1301539458958985_dp, 70.0202953975624069_dp, 69.9168496651027027_dp, &
+         & 69.8201803140010071_dp, 69.7305481349686005_dp, 69.6481117499855031_dp, 69.5729300873699970_dp, &
+         & 69.5049665947194057_dp, 69.4440950434111954_dp, 69.3901067630059032_dp, 69.3427191278070012_dp, &
+         & 69.3015851010168973_dp, 69.2663036248844008_dp, 69.2364306287968958_dp, 69.2114904125016039_dp, &
+         & 69.1909871497713027_dp, 69.1744162501148026_dp, 69.1612753137841025_dp, 69.1510744194227982_dp, &
+         & 69.1433454950554989_dp, 69.1376505422517056_dp, 69.1335885103103038_dp, 69.1308006518889044_dp, &
+         & 69.1289742328525989_dp, 69.1278445160406960_dp, 69.1271949895592996_dp, 69.1268558632603032_dp, &
+         & 69.1267009102419934_dp, 69.1266427814634028_dp, 69.1266269689740938_dp, 69.1266246350818960_dp, &
+         & 69.1266243289245068_dp, 69.1266171958235986_dp, 69.1265688679988983_dp, 69.1263912095460000_dp, &
+         & 69.1259176353637059_dp, 69.1248812198323037_dp, 69.1228963217239993_dp, 69.1194444472003937_dp, &
+         & 69.1138649780920957_dp, 69.1053512835978978_dp, 69.0929526091874067_dp, 69.0755819953278944_dp, &
+         & 69.0520303190840963_dp, 69.0209863726251029_dp, 68.9810626942715004_dp, 68.9308266516515005_dp, &
+         & 68.8688360465866936_dp, 68.7936782739676005_dp, 68.7040118320333022_dp, 68.5986087636767934_dp, &
+         & 68.4763964277713058_dp, 68.3364968819553980_dp, 68.1782621335306942_dp, 68.0013036116475007_dp, &
+         & 67.8055144508080048_dp, 67.5910835525017006_dp, 67.3585008804656979_dp, 67.1085539879207005_dp, &
+         & 66.8423162925891035_dp, 66.5611280238540957_dp, 66.2665710030215962_dp, 65.9604384622290070_dp, &
+         & 65.6447009946191997_dp, 65.3214695403271008_dp, 64.9929561538770031_dp, 64.6614332561702980_dp, &
+         & 64.3291921810837977_dp, 63.9985020409527010_dp, 63.6715701516583010_dp, 63.3505053514827026_dp, &
+         & 63.0372854317388018_dp, 62.7337295676943967_dp, 62.4414761783356980_dp, 62.1619661824705005_dp, &
+         & 61.8964312725392034_dp, 61.6458866534967029_dp, 61.4111276812979980_dp, 61.1927299274452992_dp, &
+         & 60.9910523253285035_dp, 60.8062431687045972_dp, 60.6382488061166995_dp, 60.4868249030122982_dp, &
+         & 60.3515501344126974_dp, 60.2318421379564981_dp, 60.1269755113824971_dp, 60.0361015879199016_dp, &
+         & 59.9582696722137030_dp, 59.8924493707531980_dp, 59.8375536057939001_dp, 59.7924618619628987_dp, &
+         & 59.7560431820639977_dp, 59.7271784055459989_dp, 59.7047811325015019_dp, 59.6878169007520967_dp, &
+         & 59.6753200859582975_dp, 59.6664080763654994_dp, 59.6602923352135974_dp, 59.6562860441224032_dp, &
+         & 59.6538081176247985_dp, 59.6523834888848015_dp, 59.6516396848365034_dp, 59.6512998301804984_dp, &
+         & 59.6511723382470009_dp, 59.6511376572820993_dp, 59.6511325384418001_dp, 59.6511320865457009_dp, &
+         & 59.6511232318627975_dp, 59.6510632400705987_dp, 59.6508427037017981_dp, 59.6502548332174030_dp, &
+         & 59.6489682854530017_dp, 59.6465043634876011_dp, 59.6422194914547035_dp, 59.6352937543951995_dp, &
+         & 59.6247261618422968_dp, 59.6093371420327998_dp, 59.5877785979195025_dp, 59.5585516527587018_dp, &
+         & 59.5200319793633028_dp, 59.4705023430978983_dp, 59.4081916985032024_dp, 59.3313198726306013_dp, &
+         & 59.2381465604904989_dp, 59.1270230711294005_dp, 58.9964450227425985_dp, 58.8451040191666976_dp, &
+         & 58.6719362721032027_dp, 58.4761661792059968_dp, 58.2573430305302011_dp, 58.0153692827108003_dp, &
+         & 57.7505191865886971_dp, 57.4634469483675971_dp, 57.1551840180822026_dp, 56.8271255142617022_dp, &
+         & 56.4810062052584030_dp, 56.1188668780067985_dp, 55.7430123315333006_dp, 55.3559626168690997_dp, &
+         & 54.9603994688768012_dp, 54.5591100886151992_dp, 54.1549304915494005_dp, 53.7506905143282978_dp, &
+         & 53.3491622824093028_dp, 52.9530135276257994_dp, 52.5647666758745018_dp, 52.1867641710949002_dp, &
+         & 51.8211401195341992_dp, 51.4697980601062994_dp, 51.1343944977212033_dp, 50.8163277607053985_dp, &
+         & 50.5167317332025974_dp, 50.2364740395330003_dp, 49.9761582963074034_dp, 49.7361300848103980_dp, &
+         & 49.5164863242627007_dp, 49.3170877451744971_dp, 49.1375741728009032_dp, 48.9773823354557010_dp, &
+         & 48.8357659117547982_dp, 48.7118175240830027_dp, 48.6044923714134001_dp, 48.5126331719628965_dp, &
+         & 48.4349960549350982_dp, 48.3702770020897006_dp, 48.3171383969620010_dp, 48.2742351964757006_dp, &
+         & 48.2402402016653014_dp, 48.2138678768975026_dp, 48.1938961558396031_dp, 48.1791856821672013_dp, &
+         & 48.1686959670039982_dp, 48.1614980049712997_dp, 48.1567829760785031_dp, 48.1538667690179025_dp, &
+         & 48.1521901883168013_dp, 48.1513148472353976_dp, 48.1509148932724003_dp, 48.1507648561838977_dp, &
+         & 48.1507240424060967_dp, 48.1507180183762031_dp, 48.1507175351744010_dp, 48.1507086176517021_dp, &
+         & 48.1506482001150999_dp, 48.1504260987419030_dp, 48.1498340571231012_dp, 48.1485383839422028_dp, &
+         & 48.1460569972490973_dp, 48.1417417900492026_dp, 48.1347671205092027_dp, 48.1241251008955970_dp, &
+         & 48.1086282096269997_dp, 48.0869195765492989_dp, 48.0574910886076978_dp, 48.0187092284671024_dp, &
+         & 47.9688482919519004_dp, 47.9061303350607020_dp, 47.8287708865623031_dp, 47.7350291423684965_dp, &
+         & 47.6232610530772007_dp, 47.4919734507058990_dp, 47.3398771610437024_dp, 47.1659369394389998_dp, &
+         & 46.9694160705306984_dp, 46.7499135985119025_dp, 46.5073924055914034_dp, 46.2421967229623974_dp, &
+         & 45.9550581219206009_dp, 45.6470895672662991_dp, 45.3197676914150023_dp, 44.9749040335055028_dp, &
+         & 44.6146065466574981_dp, 44.2412331649025035_dp, 43.8573395890282001_dp, 43.4656236481345033_dp, &
+         & 43.0688685873851966_dp, 42.6698874220042015_dp, 42.2714701256366965_dp, 41.8763349658510009_dp, &
+         & 41.4870848499523035_dp, 41.1061691707134003_dp, 40.7358513752814986_dp, 40.3781823121256025_dp, &
+         & 40.0349793062162007_dp, 39.7078108338774030_dp, 39.3979865908488023_dp, 39.1065526632015974_dp, &
+         & 38.8342914284145024_dp, 38.5817257466024017_dp, 38.3491269612002981_dp, 38.1365262193455976_dp, &
+         & 37.9437286423848974_dp, 37.7703299182148982_dp, 37.6157349385397026_dp, 37.4791781544762017_dp, &
+         & 37.3597453640118005_dp, 37.2563966683971017_dp, 37.1679903386898971_dp, 37.0933073185216031_dp, &
+         & 37.0310760575008970_dp, 36.9799973262563029_dp, 36.9387686151046992_dp, 36.9061076706291971_dp, &
+         & 36.8807746851328986_dp, 36.8615926296721028_dp, 36.8474652178152979_dp, 36.8373920085477025_dp, &
+         & 36.8304802050449993_dp, 36.8259527813188967_dp, 36.8231526687004020_dp, 36.8215428543301968_dp, &
+         & 36.8207023781249987_dp, 36.8203183557724003_dp, 36.8201742954335032_dp, 36.8201351075003984_dp, &
+         & 36.8201293234425009_dp, 36.8201288773203004_dp, 36.8201208663976018_dp, 36.8200665912163032_dp, &
+         & 36.8198670698929007_dp, 36.8193352191790026_dp, 36.8181712762913023_dp, 36.8159421840850030_dp, &
+         & 36.8120657667449009_dp, 36.8058004262209977_dp, 36.7962409769818990_dp, 36.7823211052328034_dp, &
+         & 36.7628227842786970_dp, 36.7363927957585972_dp, 36.7015662936651026_dp, 36.6567971034972970_dp, &
+         & 36.6004941754753972_dp, 36.5310633162288028_dp, 36.4469530209427006_dp, 36.3467029360772997_dp, &
+         & 36.2289932242580974_dp, 36.0926929030483024_dp, 35.9369051132826982_dp, 35.7610072625910007_dp, &
+         & 35.5646841016745014_dp, 35.3479520319796023_dp, 35.1111733100048014_dp, 34.8550592900690006_dp, &
+         & 34.5806624065472974_dp, 34.2893571999525975_dp, 33.9828112916310019_dp, 33.6629477569300022_dp, &
+         & 33.3319007844397035_dp, 32.9919667946545019_dp, 32.6455532957377983_dp, 32.2951276697468970_dp, &
+         & 31.9431678281719016_dp, 31.5921162936731008_dp, 31.2443388151336983_dp, 30.9020881705341992_dp, &
+         & 30.5674734139002986_dp, 30.2424345173617013_dp, 29.9287221618303008_dp, 29.6278823316558011_dp, &
+         & 29.3412453451933004_dp, 29.0699189731322996_dp, 28.8147853309325015_dp, 28.5765012609802014_dp, &
+         & 28.3555019354908993_dp, 28.1520074135163014_dp, 27.9660318808912010_dp, 27.7973952977650001_dp, &
+         & 27.6457371794050992_dp, 27.5105322433600001_dp, 27.3911076674624994_dp, 27.2866617140387007_dp, &
+         & 27.1962834811265992_dp, 27.1189735375742984_dp, 27.0536651835812982_dp, 26.9992460518488002_dp, &
+         & 26.9545797294553999_dp, 26.9185270410580983_dp, 26.8899665953937017_dp, 26.8678141652098006_dp, &
+         & 26.8510404514325991_dp, 26.8386867806017015_dp, 26.8298783040933984_dp, 26.8238343104539005_dp, &
+         & 26.8198753283454003_dp, 26.8174267852286015_dp, 26.8160190921554999_dp, 26.8152841425687001_dp, &
+         & 26.8149483364476993_dp, 26.8148223637220013_dp, 26.8147880960619993_dp, 26.8147830382262988_dp, &
+         & 26.8147826552621993_dp, 26.8147758710919994_dp, 26.8147299073381014_dp, 26.8145609396764009_dp, &
+         & 26.8141105336178001_dp, 26.8131248294075988_dp, 26.8112370819174011_dp, 26.8079542544008014_dp, &
+         & 26.8026482819415008_dp, 26.7945525240096991_dp, 26.7827638133403987_dp, 26.7662503769617999_dp, &
+         & 26.7438657511092011_dp, 26.7143686323498990_dp, 26.6764484019793002_dp, 26.6287558322717999_dp, &
+         & 26.5699382382013987_dp, 26.4986780879992985_dp, 26.4137338459181983_dp, 26.3139816097039017_dp, &
+         & 26.1984559440253015_dp, 26.0663882192077985_dp, 25.9172407584585009_dp, 25.7507351870271997_dp, &
+         & 25.5668735668540990_dp, 25.3659511859351987_dp, 25.1485602415092018_dp, 24.9155840927580989_dp, &
+         & 24.6681822389350991_dp, 24.4077666733284993_dp, 24.1359707352016990_dp, 23.8546119858071997_dp, &
+         & 23.5656509217422006_dp, 23.2711474661886015_dp, 22.9732171234146989_dp, 22.6739884553654001_dp, &
+         & 22.3755631894901015_dp, 22.0799798684613009_dp, 21.7891815825692987_dp, 21.5049880401711988_dp, &
+         & 21.2290720501367005_dp, 20.9629403971030008_dp, 20.7079190490850991_dp, 20.4651426091427986_dp, &
+         & 20.2355478822899997_dp, 20.0198713674095998_dp, 19.8186504085342001_dp, 19.6322276654128984_dp, &
+         & 19.4607585051996992_dp, 19.3042208859621987_dp, 19.1624273020148017_dp, 19.0350383876780000_dp, &
+         & 18.9215778220230000_dp, 18.8214482322905994_dp, 18.7339478477449006_dp, 18.6582877001550003_dp, &
+         & 18.5936091959659997_dp, 18.5390018956276990_dp, 18.4935213275898995_dp, 18.4562066408377987_dp, &
+         & 18.4260978652620011_dp, 18.4022525097124010_dp, 18.3837611899889986_dp, 18.3697619498815996_dp, &
+         & 18.3594529235260993_dp, 18.3521029912778992_dp, 18.3470601066911989_dp, 18.3437570196963016_dp, &
+         & 18.3417141892219995_dp, 18.3405397639776986_dp, 18.3399266079951992_dp, 18.3396464519252014_dp, &
+         & 18.3395413557052009_dp, 18.3395127669846012_dp, 18.3395085473493005_dp, 18.3395082305800017_dp, &
+         & 18.3395026550802989_dp, 18.3394648802553988_dp, 18.3393260160850993_dp, 18.3389558558214993_dp, &
+         & 18.3381457723371000_dp, 18.3365943778165992_dp, 18.3338965281403006_dp, 18.3295361891178992_dp, &
+         & 18.3228836069444014_dp, 18.3131971372197988_dp, 18.2996299820417008_dp, 18.2812419593915010_dp, &
+         & 18.2570162804763001_dp, 18.2258811379597994_dp, 18.1867357130293996_dp, 18.1384799974784983_dp, &
+         & 18.0800476077988002_dp, 18.0104405547182012_dp, 17.9287647396964012_dp, 17.8342647971774007_dp, &
+         & 17.7263568053018012_dp, 17.6046573634946988_dp, 17.4690075939595992_dp, 17.3194907710919992_dp, &
+         & 17.1564425171324011_dp, 16.9804528161985999_dp, 16.7923594779011012_dp, 16.5932331058550986_dp, &
+         & 16.3843540701857009_dp, 16.1671824168296006_dp, 15.9433220374227993_dp, 15.7144807385499004_dp, &
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+         & 0.1639114442934750_dp, 0.1611162371328730_dp, 0.1585436435794070_dp, 0.1561916042309830_dp, &
+         & 0.1540560421476020_dp, 0.1521310673583970_dp, 0.1504091802810020_dp, 0.1488814731286110_dp, &
+         & 0.1475378291961110_dp, 0.1463671204616330_dp, 0.1453574041998420_dp, 0.1444961192771070_dp, &
+         & 0.1437702825016200_dp, 0.1431666848653920_dp, 0.1426720867920320_dp, 0.1422734106602520_dp, &
+         & 0.1419579279891540_dp, 0.1417134378384470_dp, 0.1415284322789030_dp, 0.1413922443159090_dp, &
+         & 0.1412951734628080_dp, 0.1412285843085210_dp, 0.1411849739221940_dp, 0.1411580047683150_dp, &
+         & 0.1411425009255680_dp, 0.1411344067378480_dp, 0.1411307084858320_dp, 0.1411293211517800_dp, &
+         & 0.1411289437640310_dp, 0.1411288880623970_dp, 0.1411288837159080_dp, 0.1411288050155120_dp, &
+         & 0.1411282718092080_dp, 0.1411263116939950_dp, 0.1411210868045030_dp, 0.1411096525559260_dp, &
+         & 0.1410877557295580_dp, 0.1410496804931680_dp, 0.1409881502604970_dp, 0.1408942924696960_dp, &
+         & 0.1407576723082260_dp, 0.1405664000240140_dp, 0.1403073146191220_dp, 0.1399662443212150_dp, &
+         & 0.1395283412178540_dp, 0.1389784838345350_dp, 0.1383017373643720_dp, 0.1374838569419130_dp, &
+         & 0.1365118151473720_dp, 0.1353743312582200_dp, 0.1340623771192920_dp, 0.1325696333296380_dp, &
+         & 0.1308928701122770_dp, 0.1290322299197580_dp, 0.1269913935003330_dp, 0.1247776175041510_dp, &
+         & 0.1224016392337860_dp, 0.1198774521457580_dp, 0.1172219634366770_dp, 0.1144545517915960_dp, &
+         & 0.1115965485517020_dp, 0.1086706688127490_dp, 0.1057004201633300_dp, 0.1027095160025340_dp, &
+         & 0.0997213179164760_dp, 0.0967583278215045_dp, 0.0938417459441609_dp, 0.0909911056364479_dp, &
+         & 0.0882239909146421_dp, 0.0855558378070356_dp, 0.0829998163659837_dp, 0.0805667867482924_dp, &
+         & 0.0782653202059862_dp, 0.0761017742036643_dp, 0.0740804101429973_dp, 0.0722035422347176_dp, &
+         & 0.0704717067911531_dp, 0.0688838424388649_dp, 0.0674374733421388_dp, 0.0661288892916474_dp, &
+         & 0.0649533183078006_dp, 0.0639050891106905_dp, 0.0629777822976934_dp, 0.0621643702954344_dp, &
+         & 0.0614573470562760_dp, 0.0608488490495915_dp, 0.0603307693629915_dp, 0.0598948666648766_dp, &
+         & 0.0595328704920917_dp, 0.0592365837852213_dp, 0.0589979829289007_dp, 0.0588093148090252_dp, &
+         & 0.0586631896490388_dp, 0.0585526677074455_dp, 0.0584713374013432_dp, 0.0584133820863144_dp, &
+         & 0.0583736326371422_dp, 0.0583476031410015_dp, 0.0583315074379414_dp, 0.0583222548761739_dp, &
+         & 0.0583174244571438_dp, 0.0583152174564390_dp, 0.0583143895433977_dp, 0.0583141643319607_dp, &
+         & 0.0583141310912936_dp, 0.0583141284751889_dp, 0.0583140808274010_dp, 0.0583137580059514_dp, &
+         & 0.0583125712881696_dp, 0.0583094079957931_dp, 0.0583024855190217_dp, 0.0582892293407156_dp, &
+         & 0.0582661804685358_dp, 0.0582289373873408_dp, 0.0581721372674480_dp, 0.0580894806495422_dp, &
+         & 0.0579738030417190_dp, 0.0578171957612028_dp, 0.0576111767796448_dp, 0.0573469103013622_dp, &
+         & 0.0570154712568893_dp, 0.0566081479645959_dp, 0.0561167730296006_dp, 0.0555340693923370_dp, &
+         & 0.0548539955965452_dp, 0.0540720722496388_dp, 0.0531856705775198_dp, 0.0521942443098311_dp, &
+         & 0.0510994880094131_dp, 0.0499054084341708_dp, 0.0486183004257015_dp, 0.0472466247599641_dp, &
+         & 0.0458007919445294_dp, 0.0442928623967163_dp, 0.0427361791839758_dp, 0.0411449540098658_dp, &
+         & 0.0395338298290540_dp, 0.0379174442800405_dp, 0.0363100168311234_dp, 0.0347249795702993_dp, &
+         & 0.0331746671194395_dp, 0.0316700759921673_dp, 0.0302206982180593_dp, 0.0288344287655491_dp, &
+         & 0.0275175417551168_dp, 0.0262747267939289_dp, 0.0251091743459995_dp, 0.0240226978738463_dp, &
+         & 0.0230158807820828_dp, 0.0220882369599025_dp, 0.0212383752757006_dp, 0.0204568155984504_dp, &
+         & 0.0197562367407045_dp, 0.0191252644047637_dp, 0.0185603805862655_dp, 0.0180578221845451_dp, &
+         & 0.0176136647980485_dp, 0.0172238908438089_dp, 0.0168844440195954_dp, 0.0165912724832395_dp, &
+         & 0.0163403632472665_dp, 0.0161277702200806_dp, 0.0159496381018869_dp, 0.0158022239990601_dp, &
+         & 0.0156819181858197_dp, 0.0155852649509143_dp, 0.0155089839503120_dp, 0.0154499919824787_dp, &
+         & 0.0154054246402922_dp, 0.0153726569120352_dp, 0.0153493215241838_dp, 0.0153333236700206_dp, &
+         & 0.0153228507545293_dp, 0.0153163759110271_dp, 0.0153126542942346_dp, 0.0153107114997511_dp, &
+         & 0.0153098238722720_dp, 0.0153094909008615_dp, 0.0153094003253358_dp, 0.0153093869566163_dp, &
+         & 0.0153093858952360_dp, 0.0153093664442281_dp, 0.0153092346612453_dp, 0.0153087502197593_dp, &
+         & 0.0153074589280919_dp, 0.0153046332289364_dp, 0.0152992226775979_dp, 0.0152898168139615_dp, &
+         & 0.0152746228409484_dp, 0.0152514604921521_dp, 0.0152177763609842_dp, 0.0151706796972491_dp, &
+         & 0.0151070011777392_dp, 0.0150233753565345_dp, 0.0149163463521802_dp, 0.0147824948304844_dp, &
+         & 0.0146185825478824_dp, 0.0144217087520673_dp, 0.0141894707835917_dp, 0.0139201195321874_dp, &
+         & 0.0136126992479859_dp, 0.0132671608615027_dp, 0.0128844386318008_dp, 0.0124664817258235_dp, &
+         & 0.0120162351882271_dp, 0.0115375684855792_dp, 0.0110351540430997_dp, 0.0105143024643439_dp, &
+         & 0.0099807649122994_dp, 0.0094405159444193_dp, 0.0088995315639835_dp, 0.0083635771930091_dp, &
+         & 0.0078380187378571_dp, 0.0073276671733851_dp, 0.0068366635306632_dp, 0.0063684073181918_dp, &
+         & 0.0059255276865429_dp, 0.0055120790530196_dp, 0.0051249499577182_dp, 0.0047667414042962_dp, &
+         & 0.0044373385500336_dp, 0.0041361719388817_dp, 0.0038623313377144_dp, 0.0036146492412712_dp, &
+         & 0.0033917572870195_dp, 0.0031921313766645_dp, 0.0030141444974419_dp, 0.0028561312482083_dp, &
+         & 0.0027164494363774_dp, 0.0025935229076737_dp, 0.0024858618743338_dp, 0.0023920666986896_dp, &
+         & 0.0023108236825493_dp, 0.0022408997450043_dp, 0.0021811392921762_dp, 0.0021304629288039_dp, &
+         & 0.0020878659414194_dp, 0.0020524152129724_dp, 0.0020232448125199_dp, 0.0019995513584234_dp, &
+         & 0.0019805901571033_dp, 0.0019656726145314_dp, 0.0019541649560040_dp, 0.0019454880175260_dp, &
+         & 0.0019391177560237_dp, 0.0019345860958140_dp, 0.0019314817318019_dp, 0.0019294505255090_dp, &
+         & 0.0019281951566086_dp, 0.0019274737391868_dp, 0.0019270971798875_dp, 0.0019269251463641_dp, &
+         & 0.0019268606138496_dp, 0.0019268430596924_dp, 0.0019268404687551_dp, 0.0019268402612340_dp, &
+         & 0.0019268364342935_dp, 0.0019268105067027_dp, 0.0019267151962765_dp, 0.0019264611516405_dp, &
+         & 0.0019259052723726_dp, 0.0019248410467156_dp, 0.0019229914439194_dp, 0.0019200049350871_dp, &
+         & 0.0019154552521172_dp, 0.0019088455113945_dp, 0.0018996173077710_dp, 0.0018871652861634_dp, &
+         & 0.0018708574882567_dp, 0.0018500613889074_dp, 0.0018241749453551_dp, 0.0017926611833730_dp, &
+         & 0.0017550839928902_dp, 0.0017111422326650_dp, 0.0016606993639954_dp, 0.0016038067427644_dp, &
+         & 0.0015407198234953_dp, 0.0014719069016280_dp, 0.0013980490855658_dp, 0.0013200281809702_dp, &
+         & 0.0012388969757637_dp, 0.0011558261543883_dp, 0.0010720286484656_dp, 0.0009886785835675_dp, &
+         & 0.0009068533107524_dp, 0.0008275120295593_dp, 0.0007514978384364_dp, 0.0006795393162093_dp, &
+         & 0.0006122323106297_dp, 0.0005499976106194_dp, 0.0004930381782913_dp, 0.0004413395969465_dp, &
+         & 0.0003947304107896_dp, 0.0003529671301550_dp, 0.0003157949330443_dp, 0.0002829593063609_dp, &
+         & 0.0002541756085748_dp, 0.0002290937766816_dp, 0.0002073023862437_dp, 0.0001883771924156_dp, &
+         & 0.0001719369443123_dp, 0.0001576724172025_dp, 0.0001453418839219_dp, 0.0001347455130372_dp, &
+         & 0.0001256976041901_dp, 0.0001180119611348_dp, 0.0001115042668829_dp, 0.0001060034957163_dp, &
+         & 1.0136144423711399e-04_dp, 9.7455161252923999e-05_dp, 9.4183527821201096e-05_dp, 9.1461699824435500e-05_dp, &
+         & 8.9216280187542893e-05_dp, 8.7382264425173202e-05_dp, 8.5901484112582693e-05_dp, 8.4721832266154706e-05_dp, &
+         & 8.3796720943496398e-05_dp, 8.3084554958645599e-05_dp, 8.2548232683166093e-05_dp, 8.2154746181117803e-05_dp, &
+         & 8.1874916503465997e-05_dp, 8.1683246406782901e-05_dp, 8.1557840033497100e-05_dp, 8.1480333960826101e-05_dp, &
+         & 8.1435793561013297e-05_dp, 8.1412544602699199e-05_dp, 8.1401923125668004e-05_dp, 8.1397938828331503e-05_dp, &
+         & 8.1396855009074898e-05_dp, 8.1396695065905105e-05_dp, 8.1396682034551304e-05_dp, 8.1396439185255103e-05_dp, &
+         & 8.1394793923550397e-05_dp, 8.1388746139055002e-05_dp, 8.1372628187637006e-05_dp, 8.1337370474443601e-05_dp, &
+         & 8.1269908818626404e-05_dp, 8.1152781874038697e-05_dp, 8.0963974212977505e-05_dp, 8.0677061248479704e-05_dp, &
+         & 8.0261697647188198e-05_dp, 7.9684451435468900e-05_dp, 7.8909924937420301e-05_dp, 7.7902042590949295e-05_dp, &
+         & 7.6625381339567893e-05_dp, 7.5046549241619700e-05_dp, 7.3135915513944396e-05_dp, 7.0870359252239696e-05_dp, &
+         & 6.8237821110983505e-05_dp, 6.5243868348829906e-05_dp, 6.1918908002667195e-05_dp, 5.8322355926065898e-05_dp, &
+         & 5.4538361382583403e-05_dp, 5.0659407449416001e-05_dp, 4.6761667192640703e-05_dp, 4.2885848898777099e-05_dp, &
+         & 3.9038724850115600e-05_dp, 3.5219358665017400e-05_dp, 3.1460039636499500e-05_dp, 2.7861482379876199e-05_dp, &
+         & 2.4594771929287200e-05_dp, 2.1855544972026999e-05_dp, 1.9796090015233899e-05_dp, 1.8438118345898099e-05_dp, &
+         & 1.7498116378078501e-05_dp, 1.6389048482778900e-05_dp, 1.4695550859755699e-05_dp, 1.2564054927111100e-05_dp, &
+         & 1.0515282525602700e-05_dp, 8.7596637428077901e-06_dp, 7.1349727761571600e-06_dp, 5.6283514879851299e-06_dp, &
+         & 4.4295723995446704e-06_dp, 3.5647589555765101e-06_dp, 2.8003079819427499e-06_dp, 2.0711757571234599e-06_dp, &
+         & 1.5575436407289100e-06_dp, 1.2630692225457101e-06_dp, 9.9071129966432594e-07_dp, 8.3034393583147903e-07_dp, &
+         & 7.9620028259341801e-07_dp, 7.0337951285637203e-07_dp, 4.6721979174435499e-07_dp, 3.7100748784268902e-07_dp, &
+         & 5.8170299155335701e-07_dp, 7.0993090162119198e-07_dp, 7.1863603068322803e-07_dp, 6.3873650901768997e-07_dp, &
+         & 5.0733960677007396e-07_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 2.8421709430404001e-14_dp, &
+         & 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, &
+         & 1.4210854715202001e-14_dp, 2.8421709430404001e-14_dp, 2.8421709430404001e-14_dp, 1.4210854715202001e-14_dp, &
+         & 2.8421709430404001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 2.8421709430404001e-14_dp, &
+         & 2.8421709430404001e-14_dp &
+         &]
+      case (74)
+         out = [&
+         & 74.0000000000000000_dp, 73.9999999184462069_dp, 73.9999973966414046_dp, 73.9999803110138998_dp, &
+         & 73.9999175020074063_dp, 73.9997500729326987_dp, 73.9993836416332016_dp, 73.9986818172366014_dp, &
+         & 73.9974611365175008_dp, 73.9954876491258062_dp, 73.9924752898231048_dp, 73.9880861210478997_dp, &
+         & 73.9819324730889036_dp, 73.9735809545785941_dp, 73.9625582555984948_dp, 73.9483586217196063_dp, &
+         & 73.9304528413426993_dp, 73.9082985611935044_dp, 73.8813517247780993_dp, 73.8490789135503007_dp, &
+         & 73.8109703567823061_dp, 73.7665533594111054_dp, 73.7154058736060023_dp, 73.6571699073062973_dp, &
+         & 73.5915644221465044_dp, 73.5183973282227043_dp, 73.4375761418513946_dp, 73.3491168453030014_dp, &
+         & 73.2531504858086038_dp, 73.1499270847535001_dp, 73.0398165027044968_dp, 72.9233060216433984_dp, &
+         & 72.8009945556292024_dp, 72.6735835720957937_dp, 72.5418649809232932_dp, 72.4067064088579002_dp, &
+         & 72.2690344062460071_dp, 72.1298162194476049_dp, 71.9900408000614931_dp, 71.8506997122305933_dp, &
+         & 71.7127685485640001_dp, 71.5771893842984070_dp, 71.4448547006377055_dp, 71.3165931037189011_dp, &
+         & 71.1931570652918992_dp, 71.0752128218997967_dp, 70.9633324948345034_dp, 70.8579884342853035_dp, &
+         & 70.7595497465929952_dp, 70.6682809307482955_dp, 70.5843425260478057_dp, 70.5077936540408956_dp, &
+         & 70.4385963219250044_dp, 70.3766213394324041_dp, 70.3216556857733934_dp, 70.2734111468537037_dp, &
+         & 70.2315340258120955_dp, 70.1956157124713940_dp, 70.1652038804306954_dp, 70.1398140653557931_dp, &
+         & 70.1189413658092064_dp, 70.1020719999707040_dp, 70.0886944490938930_dp, 70.0783099225885024_dp, &
+         & 70.0704418910801934_dp, 70.0646444531793975_dp, 70.0605093291163996_dp, 70.0576713095361043_dp, &
+         & 70.0558120297988012_dp, 70.0546619878770969_dp, 70.0540007757611960_dp, 70.0536555483005969_dp, &
+         & 70.0534978075638008_dp, 70.0534386330079997_dp, 70.0534225360412961_dp, 70.0534201601607975_dp, &
+         & 70.0534198484953947_dp, 70.0534125870652957_dp, 70.0533633897908032_dp, 70.0531825351513930_dp, &
+         & 70.0527004411303977_dp, 70.0516453802467964_dp, 70.0496247744660963_dp, 70.0461108052739974_dp, &
+         & 70.0404309780816021_dp, 70.0317641693639956_dp, 70.0191425585300067_dp, 70.0014597028621068_dp, &
+         & 69.9774848512260945_dp, 69.9458834094779007_dp, 69.9052432676106008_dp, 69.8541064774225049_dp, &
+         & 69.7910055338103064_dp, 69.7145032694893985_dp, 69.6232351324971006_dp, 69.5159523934954962_dp, &
+         & 69.3915646466838041_dp, 69.2491798508512062_dp, 69.0881401362031937_dp, 68.9080517068000944_dp, &
+         & 68.7088074161842002_dp, 68.4906009829638975_dp, 68.2539323130967972_dp, 67.9996039455745063_dp, &
+         & 67.7287091559601038_dp, 67.4426126533206940_dp, 67.1429250291648003_dp, 66.8314721466219055_dp, &
+         & 66.5102605355675962_dp, 66.1814396739567030_dp, 65.8472618955485984_dp, 65.5100406551324994_dp, &
+         & 65.1721080281077008_dp, 64.8357725656293979_dp, 64.5032788499154037_dp, 64.1767701644156006_dp, &
+         & 63.8582555292384981_dp, 63.5495819667497983_dp, 63.2524123590799974_dp, 62.9682087818276983_dp, &
+         & 62.6982208636329972_dp, 62.4434785765863012_dp, 62.2047888822632018_dp, 61.9827357747658994_dp, &
+         & 61.7776834034221025_dp, 61.5897820729615972_dp, 61.4189769858804979_dp, 61.2650196105079985_dp, &
+         & 61.1274815408577012_dp, 61.0057706749595994_dp, 60.8991494886802016_dp, 60.8067551294806989_dp, &
+         & 60.7276210030781982_dp, 60.6606994773460002_dp, 60.6048852830929974_dp, 60.5590391518442033_dp, &
+         & 60.5220111982609978_dp, 60.4926635319059969_dp, 60.4698915725740989_dp, 60.4526435483250992_dp, &
+         & 60.4399376781400974_dp, 60.4308765834763975_dp, 60.4246585353915009_dp, 60.4205852254876987_dp, &
+         & 60.4180658473690997_dp, 60.4166173869788992_dp, 60.4158611403469976_dp, 60.4155156004999014_dp, &
+         & 60.4153859758433995_dp, 60.4153507147249016_dp, 60.4153455102552002_dp, 60.4153450507996013_dp, &
+         & 60.4153360479930015_dp, 60.4152750526402968_dp, 60.4150508270743032_dp, 60.4144531225227013_dp, &
+         & 60.4131450530324017_dp, 60.4106399139638981_dp, 60.4062833637196022_dp, 60.3992417720642010_dp, &
+         & 60.3884974048195033_dp, 60.3728509604140982_dp, 60.3509317951667015_dp, 60.3212159674781034_dp, &
+         & 60.2820519936531980_dp, 60.2316939398819997_dp, 60.1683411801936998_dp, 60.0901838387067002_dp, &
+         & 59.9954526222070967_dp, 59.8824714579024970_dp, 59.7497111073368998_dp, 59.5958417582235995_dp, &
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+         & 0.0002142350401328_dp, 0.0001956541027965_dp, 0.0001797714541283_dp, 0.0001663287117140_dp, &
+         & 0.0001547691238102_dp, 0.0001448239078456_dp, 0.0001362746931051_dp, 0.0001289346423192_dp, &
+         & 0.0001228678780620_dp, 0.0001179345088502_dp, 0.0001137711199704_dp, 0.0001102749875770_dp, &
+         & 0.0001073654264161_dp, 0.0001049746528707_dp, 0.0001030407217542_dp, 0.0001015021789783_dp, &
+         & 1.0029817445911200e-04_dp, 9.9372188302027098e-05_dp, 9.8674433687051506e-05_dp, 9.8161732552171102e-05_dp, &
+         & 9.7796490479140603e-05_dp, 9.7545939325982504e-05_dp, 9.7381823806585999e-05_dp, 9.7280317675085799e-05_dp, &
+         & 9.7221958355930797e-05_dp, 9.7191488436010304e-05_dp, 9.7177566217965196e-05_dp, 9.7172343473062001e-05_dp, &
+         & 9.7170922757072704e-05_dp, 9.7170713075911394e-05_dp, 9.7170696065518300e-05_dp, 9.7170379902422596e-05_dp, &
+         & 9.7168237971345702e-05_dp, 9.7160364575188396e-05_dp, 9.7139381153965601e-05_dp, 9.7093480547982795e-05_dp, &
+         & 9.7005656243709395e-05_dp, 9.6853182597556002e-05_dp, 9.6607426982586703e-05_dp, 9.6234094641545198e-05_dp, &
+         & 9.5694024267345399e-05_dp, 9.4944654932760400e-05_dp, 9.3942180825479200e-05_dp, 9.2643901353994806e-05_dp, &
+         & 9.1009214813198000e-05_dp, 8.8998228420678101e-05_dp, 8.6571834955862000e-05_dp, 8.3698666884402000e-05_dp, &
+         & 8.0369613428388207e-05_dp, 7.6621103985985401e-05_dp, 7.2528074525735105e-05_dp, 6.8116032622356202e-05_dp, &
+         & 6.3382529447153502e-05_dp, 5.8355995136594201e-05_dp, 5.3109771570802898e-05_dp, 4.8083851098113000e-05_dp, &
+         & 4.3213911965267498e-05_dp, 3.8324211814710900e-05_dp, 3.3456525045494298e-05_dp, 2.9125974720045599e-05_dp, &
+         & 2.5326889385723899e-05_dp, 2.1711620746600598e-05_dp, 1.8274079295110800e-05_dp, 1.6092078638507701e-05_dp, &
+         & 1.4023261954321200e-05_dp, 1.1753464448815999e-05_dp, 1.0427950215330401e-05_dp, 8.8036164669347306e-06_dp, &
+         & 6.8418586494090101e-06_dp, 4.7383640406906099e-06_dp, 2.7870754735204198e-06_dp, 1.2924409418246800e-06_dp, &
+         & 7.1953262192891998e-07_dp, 6.6925207420354095e-07_dp, 6.1458342770492901e-07_dp, 6.9921837564379498e-07_dp, &
+         & 8.1463801393510895e-07_dp, 1.0584293050896999e-06_dp, 1.0712269897794600e-06_dp, 9.2576570409619297e-07_dp, &
+         & 7.9355113768997398e-07_dp, 6.5878241173322696e-07_dp, 5.7963261212989902e-07_dp, 5.7768551187109604e-07_dp, &
+         & 6.1434452902631197e-07_dp, 6.3076080891733000e-07_dp, 5.9701210375351397e-07_dp, 5.2218426560557397e-07_dp, &
+         & 4.2706641067979902e-07_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 1.4210854715202001e-14_dp, &
+         & 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, &
+         & 1.4210854715202001e-14_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, &
+         & 0.0000000000000000e+00_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, &
+         & 1.4210854715202001e-14_dp &
+         &]
+      case (75)
+         out = [&
+         & 75.0000000000000000_dp, 74.9999999168835956_dp, 74.9999973467594998_dp, 74.9999799337608977_dp, &
+         & 74.9999159212947006_dp, 74.9997452841689949_dp, 74.9993718317768980_dp, 74.9986565598011055_dp, &
+         & 74.9974124894158933_dp, 74.9954011867993984_dp, 74.9923311036607032_dp, 74.9878578236045996_dp, &
+         & 74.9815862420578014_dp, 74.9730746519294939_dp, 74.9618406559079062_dp, 74.9473687816576017_dp, &
+         & 74.9291196397798984_dp, 74.9065404366297969_dp, 74.8790766339106000_dp, 74.8461845317874008_dp, &
+         & 74.8073445382372029_dp, 74.7620748700256001_dp, 74.7099454061298047_dp, 74.6505913803750047_dp, &
+         & 74.5837265572583021_dp, 74.5091554878460016_dp, 74.4267843994322931_dp, 74.3366302442795046_dp, &
+         & 74.2388274310448963_dp, 74.1336317975857071_dp, 74.0214214616475061_dp, 73.9026943061830934_dp, &
+         & 73.7780620113831986_dp, 73.6482407222494970_dp, 73.5140386207585976_dp, 73.3763408362022034_dp, &
+         & 73.2360922590889061_dp, 73.0942789109073061_dp, 72.9519085585385056_dp, 72.8099912495366937_dp, &
+         & 72.6695203901709021_dp, 72.5314549033174956_dp, 72.3967029009389051_dp, 72.2661071983399950_dp, &
+         & 72.1404328947983942_dp, 72.0203571544874990_dp, 71.9064612464867992_dp, 71.7992248437781058_dp, &
+         & 71.6990225369504941_dp, 71.6061224860539056_dp, 71.5206871103069943_dp, 71.4427756969665069_dp, &
+         & 71.3723487949054061_dp, 71.3092742433627933_dp, 71.2533346707158017_dp, 71.2042362815054020_dp, &
+         & 71.1616187324109006_dp, 71.1250658799991982_dp, 71.0941171657810997_dp, 71.0682793885311952_dp, &
+         & 71.0470386012563040_dp, 71.0298718619429934_dp, 71.0162585645336009_dp, 71.0056910805909069_dp, &
+         & 70.9976844536644052_dp, 70.9917849080060961_dp, 70.9875769611121967_dp, 70.9846889652632029_dp, &
+         & 70.9827969459834947_dp, 70.9816266539058063_dp, 70.9809537992540953_dp, 70.9806024931356063_dp, &
+         & 70.9804419749629005_dp, 70.9803817584874963_dp, 70.9803653780925998_dp, 70.9803629603786987_dp, &
+         & 70.9803626432256038_dp, 70.9803552539395071_dp, 70.9803051904223992_dp, 70.9801211513862000_dp, &
+         & 70.9796305689548035_dp, 70.9785569315054943_dp, 70.9765007498111942_dp, 70.9729249151563977_dp, &
+         & 70.9671451005423961_dp, 70.9583257436285066_dp, 70.9454820216201938_dp, 70.9274880821640039_dp, &
+         & 70.9030916286043009_dp, 70.8709347714322035_dp, 70.8295808503728068_dp, 70.7775467050872038_dp, &
+         & 70.7133396310433966_dp, 70.6354980078663033_dp, 70.5426343414484052_dp, 70.4334792342773994_dp, &
+         & 70.3069246127510041_dp, 70.1620644234095039_dp, 69.9982309931704947_dp, 69.8150253606958984_dp, &
+         & 69.6123401446801040_dp, 69.3903739162882971_dp, 69.1496365538069995_dp, 68.8909456138953971_dp, &
+         & 68.6154142709118986_dp, 68.3244317684813041_dp, 68.0196375364284052_dp, 67.7028901411037936_dp, &
+         & 67.3762321063911997_dp, 67.0418514625116018_dp, 66.7020407619882008_dp, 66.3591543296094954_dp, &
+         & 66.0155646992982952_dp, 65.6736194635854957_dp, 65.3355999866351027_dp, 65.0036834715439937_dp, &
+         & 64.6799096540724037_dp, 64.3661529510874004_dp, 64.0641003480572948_dp, 63.7752348219840997_dp, &
+         & 63.5008237796362991_dp, 63.2419118800599023_dp, 62.9993176641721035_dp, 62.7736335541735002_dp, &
+         & 62.5652289361083973_dp, 62.3742561519718990_dp, 62.2006592861906000_dp, 62.0441856400198972_dp, &
+         & 61.9043997612772969_dp, 61.7806998513852008_dp, 61.6723363185494975_dp, 61.5784321918729987_dp, &
+         & 61.4980050594501009_dp, 61.4299901451653980_dp, 61.3732640946742976_dp, 61.3266690018806031_dp, &
+         & 61.2890361749600032_dp, 61.2592091181472966_dp, 61.2360651951066970_dp, 61.2185354447914989_dp, &
+         & 61.2056220438536016_dp, 61.1964129526484015_dp, 61.1900933452212996_dp, 61.1859535065024005_dp, &
+         & 61.1833929799366985_dp, 61.1819208622359980_dp, 61.1811522640544965_dp, 61.1808010806134988_dp, &
+         & 61.1806693388390030_dp, 61.1806335018121032_dp, 61.1806282123394993_dp, 61.1806277453797023_dp, &
+         & 61.1806185955330974_dp, 61.1805566039630975_dp, 61.1803287161943032_dp, 61.1797212495362999_dp, &
+         & 61.1783918158213993_dp, 61.1758457613484978_dp, 61.1714180577519997_dp, 61.1642614603590999_dp, &
+         & 61.1533416148813984_dp, 61.1374396365237018_dp, 61.1151625041406987_dp, 61.0849614021015981_dp, &
+         & 61.0451579013436003_dp, 60.9939775987467030_dp, 60.9295905347455005_dp, 60.8501573929164010_dp, &
+         & 60.7538801683250966_dp, 60.6390556958363973_dp, 60.5041301817735970_dp, 60.3477527096562980_dp, &
+         & 60.1688256171337983_dp, 59.9665496819766020_dp, 59.7404622128039975_dp, 59.4904664037115012_dp, &
+         & 59.2168506582624019_dp, 58.9202969895896018_dp, 58.6018780351022031_dp, 58.2630426713960006_dp, &
+         & 57.9055906716788016_dp, 57.5316373107279020_dp, 57.1435692783849021_dp, 56.7439936814229995_dp, &
+         & 56.3356822474788004_dp, 55.9215130397026030_dp, 55.5044120051112984_dp, 55.0872965009009974_dp, &
+         & 54.6730225962083978_dp, 54.2643374897947979_dp, 53.8638378919644012_dp, 53.4739347641706004_dp, &
+         & 53.0968244448692985_dp, 52.7344659392392998_dp, 52.3885640094514997_dp, 52.0605576476784009_dp, &
+         & 51.7516135142609031_dp, 51.4626239489463018_dp, 51.1942091929704972_dp, 50.9467234833638969_dp, &
+         & 50.7202646957827028_dp, 50.5146872205132027_dp, 50.3296177610790991_dp, 50.1644737477842995_dp, &
+         & 50.0184840590831996_dp, 49.8907117398555968_dp, 49.7800783948407997_dp, 49.6853899156530971_dp, &
+         & 49.6053631703245017_dp, 49.5386532464076978_dp, 49.4838807953412001_dp, 49.4396589815745031_dp, &
+         & 49.4046195004709006_dp, 49.3774371002471995_dp, 49.3568520310130978_dp, 49.3416898532672974_dp, &
+         & 49.3308780725893001_dp, 49.3234591284317005_dp, 49.3185993524840995_dp, 49.3155936234829966_dp, &
+         & 49.3138655759997988_dp, 49.3129633644589020_dp, 49.3125511331241029_dp, 49.3123964903637031_dp, &
+         & 49.3123544237310014_dp, 49.3123482147821974_dp, 49.3123477167477020_dp, 49.3123385254850035_dp, &
+         & 49.3122762533204977_dp, 49.3120473341437986_dp, 49.3114371187999012_dp, 49.3101016730486990_dp, &
+         & 49.3075441178258984_dp, 49.3030964551071023_dp, 49.2959077081316011_dp, 49.2849390719081981_dp, &
+         & 49.2689666158900010_dp, 49.2465919013029989_dp, 49.2162606665210021_dp, 49.1762894919352007_dp, &
+         & 49.1249000805327967_dp, 49.0602604855569027_dp, 48.9805322912088030_dp, 48.8839224213065009_dp, &
+         & 48.7687379347652978_dp, 48.6334418907710031_dp, 48.4767081577291989_dp, 48.2974729245635004_dp, &
+         & 48.0949806720804034_dp, 47.8688224893746010_dp, 47.6189648788920010_dp, 47.3457675763642030_dp, &
+         & 47.0499894011728017_dp, 46.7327817235865979_dp, 46.3956697557006024_dp, 46.0405225035322019_dp, &
+         & 45.6695128106253989_dp, 45.2850694222497978_dp, 44.8898233448130028_dp, 44.4865509194844009_dp, &
+         & 44.0781159537375018_dp, 43.6674129842159005_dp, 43.2573133457849011_dp, 42.8506152840894003_dp, &
+         & 42.4499989536223978_dp, 42.0579868373990990_dp, 41.6769099122288011_dp, 41.3088797377273025_dp, &
+         & 40.9557665295915996_dp, 40.6191831597137991_dp, 40.3004748979458967_dp, 40.0007145808245994_dp, &
+         & 39.7207027784744966_dp, 39.4609724489372979_dp, 39.2217975289552996_dp, 39.0032049120750983_dp, &
+         & 38.8049893010735971_dp, 38.6267304795212993_dp, 38.4678126127818985_dp, 38.3274452493227002_dp, &
+         & 38.2046857393783981_dp, 38.0984628140508974_dp, 38.0076010717560990_dp, 37.9308461016512979_dp, &
+         & 37.8668899388690008_dp, 37.8143964994641024_dp, 37.7720265905561021_dp, 37.7384620404539035_dp, &
+         & 37.7124284518631967_dp, 37.6927160554047020_dp, 37.6781981363427008_dp, 37.6678465288281998_dp, &
+         & 37.6607437212910980_dp, 37.6560911938024034_dp, 37.6532137108808982_dp, 37.6515594167635967_dp, &
+         & 37.6506957182649984_dp, 37.6503010854873992_dp, 37.6501530448171025_dp, 37.6501127741378028_dp, &
+         & 37.6501068302689035_dp, 37.6501063718204989_dp, 37.6500981395593968_dp, 37.6500423647787983_dp, &
+         & 37.6498373307781975_dp, 37.6492907853562997_dp, 37.6480946837924009_dp, 37.6458040051484986_dp, &
+         & 37.6418204924629975_dp, 37.6353820680813982_dp, 37.6255585599184030_dp, 37.6112542396337020_dp, &
+         & 37.5912175150469992_dp, 37.5640579319374979_dp, 37.5282704210906033_dp, 37.4822664740549030_dp, &
+         & 37.4244116484893965_dp, 37.3530684992047028_dp, 37.2666437177050014_dp, 37.1636379604509983_dp, &
+         & 37.0426965780269981_dp, 36.9026592504872966_dp, 36.7426064150482006_dp, 36.5619003645928018_dp, &
+         & 36.3602190164029011_dp, 36.1375806079396966_dp, 35.8943579663702010_dp, 35.6312815036258002_dp, &
+         & 35.3494306782586989_dp, 35.0502142959922978_dp, 34.7353406398338009_dp, 34.4067789704491034_dp, &
+         & 34.0667143631112026_dp, 33.7174981047278024_dp, 33.3615959386318011_dp, 33.0015363172910980_dp, &
+         & 32.6398605329777993_dp, 32.2790761962737989_dp, 31.9216150878552014_dp, 31.5697959855084989_dp, &
+         & 31.2257927168564002_dp, 30.8916074363875985_dp, 30.5690489746436995_dp, 30.2597160380911987_dp, &
+         & 29.9649850190575009_dp, 29.6860021747162008_dp, 29.4236799297774994_dp, 29.1786970395274992_dp, &
+         & 28.9515023203409001_dp, 28.7423216231227983_dp, 28.5511677020123003_dp, 28.3778526233616013_dp, &
+         & 28.2220023700702001_dp, 28.0830733199610982_dp, 27.9603703067154008_dp, 27.8530659996234995_dp, &
+         & 27.7602213568999012_dp, 27.6808069118787010_dp, 27.6137246403418004_dp, 27.5578301316912011_dp, &
+         & 27.5119547501231985_dp, 27.4749274295741017_dp, 27.4455957041332006_dp, 27.4228455403554001_dp, &
+         & 27.4056195156288993_dp, 27.3929328827830005_dp, 27.3838870793535989_dp, 27.3776802825024994_dp, &
+         & 27.3736146775702984_dp, 27.3711001976300992_dp, 27.3696545992244999_dp, 27.3688998601585993_dp, &
+         & 27.3685550121799004_dp, 27.3684256475604997_dp, 27.3683904572250007_dp, 27.3683852632043987_dp, &
+         & 27.3683848699287999_dp, 27.3683779030913001_dp, 27.3683307017403017_dp, 27.3681571845560008_dp, &
+         & 27.3676946512576009_dp, 27.3666824074736006_dp, 27.3647438358011001_dp, 27.3613726317319994_dp, &
+         & 27.3559238384173007_dp, 27.3476102158523986_dp, 27.3355043654093990_dp, 27.3185468961059001_dp, &
+         & 27.2955607608421005_dp, 27.2652717062259988_dp, 27.2263345678860986_dp, 27.1773649069211984_dp, &
+         & 27.1169752291589994_dp, 27.0438147686043990_dp, 26.9566115657766012_dp, 26.8542153500611001_dp, &
+         & 26.7356395641877000_dp, 26.6001007696781002_dp, 26.4470536629664004_dp, 26.2762200261563983_dp, &
+         & 26.0876101402060989_dp, 25.8815354995976996_dp, 25.6586120749661006_dp, 25.4197538526030016_dp, &
+         & 25.1661569054921017_dp, 24.8992747769604996_dp, 24.6207864334098012_dp, 24.3325584119310001_dp, &
+         & 24.0366030045836006_dp, 23.7350343581194991_dp, 23.4300242335861988_dp, 23.1237589075721992_dp, &
+         & 22.8183983731742011_dp, 22.5160386842138998_dp, 22.2186780313032983_dp, 21.9281869606454016_dp, &
+         & 21.6462830320376014_dp, 21.3745101293881987_dp, 21.1142225525186014_dp, 20.8665739132517984_dp, &
+         & 20.6325107296521999_dp, 20.4127704724091998_dp, 20.2078836866439993_dp, 20.0181797101149996_dp, &
+         & 19.8437954478334007_dp, 19.6846866476953011_dp, 19.5406411478795015_dp, 19.4112936244127994_dp, &
+         & 19.2961414433818987_dp, 19.1945613032712004_dp, 19.1058264270163001_dp, 19.0291241216716998_dp, &
+         & 18.9635735606588014_dp, 18.9082436574014991_dp, 18.8621708909201011_dp, 18.8243769173558988_dp, &
+         & 18.7938857620813984_dp, 18.7697403418693014_dp, 18.7510180229024996_dp, 18.7368448853496012_dp, &
+         & 18.7264083450683998_dp, 18.7189677825464997_dp, 18.7138628513513012_dp, 18.7105191838952010_dp, &
+         & 18.7084512797836986_dp, 18.7072624479160012_dp, 18.7066417727649998_dp, 18.7063581816700015_dp, &
+         & 18.7062517969417996_dp, 18.7062228577240006_dp, 18.7062185863563997_dp, 18.7062182657033986_dp, &
+         & 18.7062126218487990_dp, 18.7061743839124013_dp, 18.7060338173498018_dp, 18.7056591195517008_dp, &
+         & 18.7048391079081000_dp, 18.7032687079149014_dp, 18.7005378330384993_dp, 18.6961241849352007_dp, &
+         & 18.6893904289126986_dp, 18.6795861121861009_dp, 18.6658545874720012_dp, 18.6472450776218004_dp, &
+         & 18.6227298650386004_dp, 18.5912264113038006_dp, 18.5516240095289007_dp, 18.5028143500264015_dp, &
+         & 18.4437251487073013_dp, 18.3733557609535012_dp, 18.2908134986361013_dp, 18.1953492034604984_dp, &
+         & 18.0863905250714012_dp, 17.9635713245397000_dp, 17.8267556861872016_dp, 17.6760551805069994_dp, &
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+         & 0.3734169587573460_dp, 0.3672022954346370_dp, 0.3612896610040650_dp, 0.3557009934534530_dp, &
+         & 0.3504534206234240_dp, 0.3455593130999260_dp, 0.3410264087636680_dp, 0.3368579991093980_dp, &
+         & 0.3330531678630420_dp, 0.3296070731978630_dp, 0.3265112658605460_dp, 0.3237540366251750_dp, &
+         & 0.3213207875549670_dp, 0.3191944224353020_dp, 0.3173557523466430_dp, 0.3157839126008500_dp, &
+         & 0.3144567871506180_dp, 0.3133514361199160_dp, 0.3124445213605750_dp, 0.3117127240211350_dp, &
+         & 0.3111331471443320_dp, 0.3106836954336530_dp, 0.3103434236875560_dp, 0.3100928451155060_dp, &
+         & 0.3099141909208920_dp, 0.3097916132185650_dp, 0.3097113245593730_dp, 0.3096616690264680_dp, &
+         & 0.3096331219671530_dp, 0.3096182178124850_dp, 0.3096114079772290_dp, 0.3096088533723100_dp, &
+         & 0.3096081584577770_dp, 0.3096080558898390_dp, 0.3096080478863000_dp, 0.3096079029687930_dp, &
+         & 0.3096069211316030_dp, 0.3096033117975310_dp, 0.3095936906635470_dp, 0.3095726351764650_dp, &
+         & 0.3095323118954240_dp, 0.3094621909227440_dp, 0.3093488609562910_dp, 0.3091759566130890_dp, &
+         & 0.3089242074165670_dp, 0.3085716151225030_dp, 0.3080937627705540_dp, 0.3074642549026550_dp, &
+         & 0.3066552837543100_dp, 0.3056383109481690_dp, 0.3043848484601310_dp, 0.3028673166596860_dp, &
+         & 0.3010599514399810_dp, 0.2989397273270670_dp, 0.2964872595231750_dp, 0.2936876456053740_dp, &
+         & 0.2905312075007490_dp, 0.2870140966628300_dp, 0.2831387301491050_dp, 0.2789140323687320_dp, &
+         & 0.2743554662320380_dp, 0.2694848476899380_dp, 0.2643299484784050_dp, 0.2589239025137570_dp, &
+         & 0.2533044410802890_dp, 0.2475129900697650_dp, 0.2415936685707860_dp, 0.2355922317248510_dp, &
+         & 0.2295550018023250_dp, 0.2235278299163500_dp, 0.2175551268785090_dp, 0.2116789957545110_dp, &
+         & 0.2059384912015220_dp, 0.2003690222600910_dp, 0.1950019065912020_dp, 0.1898640758423650_dp, &
+         & 0.1849779244714400_dp, 0.1803612884061750_dp, 0.1760275356522380_dp, 0.1719857484885380_dp, &
+         & 0.1682409761345270_dp, 0.1647945375323160_dp, 0.1616443558438190_dp, 0.1587853090608040_dp, &
+         & 0.1562095843902400_dp, 0.1539070274653230_dp, 0.1518654806492070_dp, 0.1500711075093340_dp, &
+         & 0.1485087027876800_dp, 0.1471619887770710_dp, 0.1460138999071180_dp, 0.1450468575679200_dp, &
+         & 0.1442430368263100_dp, 0.1435846258305990_dp, 0.1430540774926920_dp, 0.1426343516451280_dp, &
+         & 0.1423091444607820_dp, 0.1420631006638190_dp, 0.1418820030966540_dp, 0.1417529336634690_dp, &
+         & 0.1416643996189460_dp, 0.1416064196494490_dp, 0.1415705651778300_dp, 0.1415499537488360_dp, &
+         & 0.1415391931118110_dp, 0.1415342765761240_dp, 0.1415324322281320_dp, 0.1415319305221060_dp, &
+         & 0.1415318564713740_dp, 0.1415318506439430_dp, 0.1415317444980250_dp, 0.1415310253447330_dp, &
+         & 0.1415283816743770_dp, 0.1415213347210480_dp, 0.1415059131497430_dp, 0.1414763809642920_dp, &
+         & 0.1414250304070070_dp, 0.1413420508000770_dp, 0.1412154832839150_dp, 0.1410312701054720_dp, &
+         & 0.1407734053311600_dp, 0.1404241914306970_dp, 0.1399646029460230_dp, 0.1393747543379790_dp, &
+         & 0.1386344641062750_dp, 0.1377239015466360_dp, 0.1366242963359100_dp, 0.1353186849576250_dp, &
+         & 0.1337926623589710_dp, 0.1320351028064120_dp, 0.1300388113318010_dp, 0.1278010670107930_dp, &
+         & 0.1253240220091100_dp, 0.1226149260400430_dp, 0.1196861544649440_dp, 0.1165550292721060_dp, &
+         & 0.1132434347981640_dp, 0.1097772432685390_dp, 0.1061855778328180_dp, 0.1024999515469740_dp, &
+         & 0.0987533286350697_dp, 0.0949791585634188_dp, 0.0912104335817645_dp, 0.0874788164961871_dp, &
+         & 0.0838138780443387_dp, 0.0802424732303137_dp, 0.0767882744765984_dp, 0.0734714676709274_dp, &
+         & 0.0703086062594735_dp, 0.0673126093653877_dp, 0.0644928830967189_dp, 0.0618555400044016_dp, &
+         & 0.0594036900025259_dp, 0.0571377766617331_dp, 0.0550559351471804_dp, 0.0531543516488711_dp, &
+         & 0.0514276083873284_dp, 0.0498690026946917_dp, 0.0484708328900467_dp, 0.0472246474208902_dp, &
+         & 0.0461214568756674_dp, 0.0451519109134892_dp, 0.0443064439044605_dp, 0.0435753941701620_dp, &
+         & 0.0429491022282065_dp, 0.0424179934554871_dp, 0.0419726501825721_dp, 0.0416038774945946_dp, &
+         & 0.0413027660345335_dp, 0.0410607539610623_dp, 0.0408696889967359_dp, 0.0407218903017963_dp, &
+         & 0.0406102088088716_dp, 0.0405280837440074_dp, 0.0404695924030278_dp, 0.0404294899086608_dp, &
+         & 0.0404032356629784_dp, 0.0403870035334677_dp, 0.0403776734297594_dp, 0.0403728027850292_dp, &
+         & 0.0403705774637331_dp, 0.0403697426877301_dp, 0.0403695156101946_dp, 0.0403694820940785_dp, &
+         & 0.0403694794331813_dp, 0.0403694306684912_dp, 0.0403691002814810_dp, 0.0403678857592524_dp, &
+         & 0.0403646484067224_dp, 0.0403575641379774_dp, 0.0403439992073942_dp, 0.0403204168495535_dp, &
+         & 0.0402823207379299_dp, 0.0402242410493869_dp, 0.0401397686028275_dp, 0.0400216418573791_dp, &
+         & 0.0398618903330430_dp, 0.0396520360937416_dp, 0.0393833522088016_dp, 0.0390471735759093_dp, &
+         & 0.0386352512693264_dp, 0.0381401369438805_dp, 0.0375555792048203_dp, 0.0368769098024870_dp, &
+         & 0.0361013946551196_dp, 0.0352285236604075_dp, 0.0342602145260287_dp, 0.0332009097039645_dp, &
+         & 0.0320575519090056_dp, 0.0308394322280208_dp, 0.0295579147111766_dp, 0.0282260515268291_dp, &
+         & 0.0268581120667193_dp, 0.0254690566524829_dp, 0.0240739897979410_dp, 0.0226876287918429_dp, &
+         & 0.0213238206351178_dp, 0.0199951345402667_dp, 0.0187125491322746_dp, 0.0174852442891194_dp, &
+         & 0.0163204983905558_dp, 0.0152236836358384_dp, 0.0141983457938295_dp, 0.0132463506640477_dp, &
+         & 0.0123680777100503_dp, 0.0115626415538799_dp, 0.0108281238625096_dp, 0.0101618010883300_dp, &
+         & 0.0095603569926510_dp, 0.0090200724073952_dp, 0.0085369879148516_dp, 0.0081070378412136_dp, &
+         & 0.0077261560792579_dp, 0.0073903557834427_dp, 0.0070957859687297_dp, 0.0068387685700912_dp, &
+         & 0.0066158196778900_dp, 0.0064236585563293_dp, 0.0062592077692898_dp, 0.0061195873597626_dp, &
+         & 0.0060021056024624_dp, 0.0059042484058693_dp, 0.0058236689951059_dp, 0.0057581790665466_dp, &
+         & 0.0057057421796998_dp, 0.0056644697444739_dp, 0.0056326195853984_dp, 0.0056085967293455_dp, &
+         & 0.0055909557826084_dp, 0.0055784040534235_dp, 0.0055698044481005_dp, 0.0055641771320296_dp, &
+         & 0.0055606990029986_dp, 0.0055587001656079_dp, 0.0055576568073832_dp, 0.0055571801374867_dp, &
+         & 0.0055570013301036_dp, 0.0055569526909096_dp, 0.0055569455118842_dp, 0.0055569449367283_dp, &
+         & 0.0055569343302153_dp, 0.0055568624699021_dp, 0.0055565983102213_dp, 0.0055558942063811_dp, &
+         & 0.0055543535405462_dp, 0.0055514039321167_dp, 0.0055462775130764_dp, 0.0055379998390492_dp, &
+         & 0.0055253890856193_dp, 0.0055070671921840_dp, 0.0054814844943252_dp, 0.0054469590537423_dp, &
+         & 0.0054017312856871_dp, 0.0053440335525608_dp, 0.0052721731397867_dp, 0.0051846255137349_dp, &
+         & 0.0050801331125712_dp, 0.0049578033443538_dp, 0.0048171982166139_dp, 0.0046584073803331_dp, &
+         & 0.0044820965856758_dp, 0.0042895247771639_dp, 0.0040825253167753_dp, 0.0038634499531298_dp, &
+         & 0.0036350778070187_dp, 0.0034004953360522_dp, 0.0031629564233242_dp, 0.0029257338973991_dp, &
+         & 0.0026919745738212_dp, 0.0024645691847809_dp, 0.0022460464830658_dp, 0.0020384977588464_dp, &
+         & 0.0018435345194092_dp, 0.0016622786795466_dp, 0.0014953817068743_dp, 0.0013430670195334_dp, &
+         & 0.0012051886834428_dp, 0.0010812991620952_dp, 0.0009707194938926_dp, 0.0008726066084392_dp, &
+         & 0.0007860141578675_dp, 0.0007099447895627_dp, 0.0006433929306979_dp, 0.0005853778945664_dp, &
+         & 0.0005349676660273_dp, 0.0004912942615078_dp, 0.0004535620678467_dp, 0.0004210508556781_dp, &
+         & 0.0003931151007919_dp, 0.0003691808865938_dp, 0.0003487412262331_dp, 0.0003313503396072_dp, &
+         & 0.0003166173066518_dp, 0.0003041995107793_dp, 0.0002937962661491_dp, 0.0002851429384663_dp, &
+         & 0.0002780057399718_dp, 0.0002721772623033_dp, 0.0002674727363114_dp, 0.0002637269760157_dp, &
+         & 0.0002607919542186_dp, 0.0002585349516551_dp, 0.0002568372104719_dp, 0.0002555930060311_dp, &
+         & 0.0002547090369660_dp, 0.0002541040222894_dp, 0.0002537083929894_dp, 0.0002534639707648_dp, &
+         & 0.0002533235417559_dp, 0.0002532502511059_dp, 0.0002532167699343_dp, 0.0002532042109351_dp, &
+         & 0.0002532007946741_dp, 0.0002532002904445_dp, 0.0002532002496736_dp, 0.0002531994930024_dp, &
+         & 0.0002531943663797_dp, 0.0002531755212232_dp, 0.0002531252929430_dp, 0.0002530154000340_dp, &
+         & 0.0002528050585653_dp, 0.0002524396376344_dp, 0.0002518499980795_dp, 0.0002509526735253_dp, &
+         & 0.0002496510609831_dp, 0.0002478377799378_dp, 0.0002453983231732_dp, 0.0002422160521860_dp, &
+         & 0.0002381784774883_dp, 0.0002331846147143_dp, 0.0002271530265148_dp, 0.0002200299723398_dp, &
+         & 0.0002117969189186_dp, 0.0002024765501289_dp, 0.0001921363959525_dp, 0.0001808893174200_dp, &
+         & 0.0001688903695936_dp, 0.0001563300246517_dp, 0.0001434243063585_dp, 0.0001304029111679_dp, &
+         & 1.1749664443527800e-04_dp, 1.0492531876593600e-04_dp, 9.2886716956286404e-05_dp, 8.1546716344860201e-05_dp, &
+         & 7.1030786884307404e-05_dp, 6.1418107591748594e-05_dp, 5.2740836395059900e-05_dp, 4.4990877270834103e-05_dp, &
+         & 3.8133558177832997e-05_dp, 3.2123496609415297e-05_dp, 2.6916219326267300e-05_dp, 2.2471819150382500e-05_dp, &
+         & 1.8753698242335300e-05_dp, 1.5733890634805899e-05_dp, 1.3337635891730300e-05_dp, 1.1370988175940501e-05_dp, &
+         & 9.7182612819324294e-06_dp, 8.3109174227047299e-06_dp, 7.1190288792877297e-06_dp, 6.2047390230190996e-06_dp, &
+         & 5.4549931434166899e-06_dp, 4.8054750720893901e-06_dp, 4.2311702515007701e-06_dp, 3.7180242458134701e-06_dp, &
+         & 3.2647035084210100e-06_dp, 2.8704458685524502e-06_dp, 2.5210026848299098e-06_dp, 2.2008278790508501e-06_dp, &
+         & 1.9049645771929100e-06_dp, 1.6362233736799700e-06_dp, 1.3979397266439300e-06_dp, 1.1874252265897701e-06_dp, &
+         & 1.0011758178052301e-06_dp, 8.3919032078938503e-07_dp, 6.9780567457655696e-07_dp, 5.7226404237553705e-07_dp, &
+         &  4.6055441771386498e-07_dp, 3.6226187205556899e-07_dp, 2.7739993413433700e-07_dp, -1.4210854715202001e-14_dp, &
+         & -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, &
+         & -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, &
+         & -2.8421709430404001e-14_dp &
+         &]
+      case (76)
+         out = [&
+         & 76.0000000000000000_dp, 75.9999999152945946_dp, 75.9999972960353034_dp, 75.9999795501382067_dp, &
+         & 75.9999143138923046_dp, 75.9997404145490947_dp, 75.9993598225165954_dp, 75.9986308759072955_dp, &
+         & 75.9973630209395026_dp, 75.9953132646287060_dp, 75.9921844830768975_dp, 75.9876256717123937_dp, &
+         & 75.9812341656617036_dp, 75.9725598018793988_dp, 75.9611109425280944_dp, 75.9463622337922004_dp, &
+         & 75.9277639374473949_dp, 75.9047526444848017_dp, 75.8767631597834935_dp, 75.8432413315259026_dp, &
+         & 75.8036575847349070_dp, 75.7575209003681067_dp, 75.7043929557452060_dp, 75.6439021064318950_dp, &
+         & 75.5757568448955936_dp, 75.4997583219862065_dp, 75.4158114721644068_dp, 75.3239342538337979_dp, &
+         & 75.2242645144222024_dp, 75.1170640264906950_dp, 75.0027193221683035_dp, 74.8817390781048999_dp, &
+         & 74.7547479640974046_dp, 74.6224770511795015_dp, 74.4857510605490063_dp, 74.3454729033582993_dp, &
+         & 74.2026060955687967_dp, 74.0581557194118005_dp, 73.9131486380913003_dp, 73.7686136549623939_dp, &
+         & 73.6255622503977065_dp, 73.4849704407746032_dp, 73.3477621979572945_dp, 73.2147947570473008_dp, &
+         & 73.0868460353722043_dp, 72.9646042936832941_dp, 72.8486600948434955_dp, 72.7395005564086006_dp, &
+         & 72.6375058496958985_dp, 72.5429478661613985_dp, 72.4559909486730049_dp, 72.3766945672416000_dp, &
+         & 72.3050178032058000_dp, 72.2408254907876000_dp, 72.1838958491629938_dp, 72.1339294212679931_dp, &
+         & 72.0905591176396996_dp, 72.0533611452849954_dp, 72.0218665838276024_dp, 71.9955733551977062_dp, &
+         & 71.9739583201933044_dp, 71.9564892267185030_dp, 71.9426362316545038_dp, 71.9318827222943042_dp, &
+         & 71.9237351749302007_dp, 71.9177318080779031_dp, 71.9134498160678959_dp, 71.9105110050000036_dp, &
+         & 71.9085856965227066_dp, 71.9073948142920045_dp, 71.9067101216203071_dp, 71.9063526347775053_dp, &
+         & 71.9061892925328010_dp, 71.9061280166426968_dp, 71.9061113480605059_dp, 71.9061088878108023_dp, &
+         & 71.9061085650779006_dp, 71.9061010457890006_dp, 71.9060501014839986_dp, 71.9058628245807938_dp, &
+         & 71.9053636112053027_dp, 71.9042710852499027_dp, 71.9021787302051933_dp, 71.8985399910346956_dp, &
+         & 71.8926585093285979_dp, 71.8836840407664965_dp, 71.8706144733984047_dp, 71.8523042165702037_dp, &
+         & 71.8274790614886030_dp, 71.7947574240851054_dp, 71.7526776688895040_dp, 71.6997309808856045_dp, &
+         & 71.6343990050917938_dp, 71.5551952183922992_dp, 71.4607087465154933_dp, 71.3496491077930983_dp, &
+         & 71.2208901772528975_dp, 71.0735115483447970_dp, 70.9068354569707964_dp, 70.7204575525177006_dp, &
+         & 70.5142700701975969_dp, 70.2884763725204067_dp, 70.0435963489706950_dp, 69.7804627249155942_dp, &
+         & 69.5002088462922956_dp, 69.2042488900538046_dp, 68.8942516448030062_dp, 68.5721090066950012_dp, &
+         & 68.2399001984493054_dp, 67.8998525473562040_dp, 67.5542995663793988_dp, 67.2056371495913965_dp, &
+         & 66.8562789205695935_dp, 66.5086120711573017_dp, 66.1649552492728930_dp, 65.8275200565216068_dp, &
+         & 65.4983774377970036_dp, 65.1794297414488000_dp, 64.8723886475479929_dp, 64.5787586701012941_dp, &
+         & 64.2998256472707936_dp, 64.0366495605429975_dp, 63.7900611121053984_dp, 63.5606616508761988_dp, &
+         & 63.3488261944661986_dp, 63.1547094025540972_dp, 62.9782544053154965_dp, 62.8192043883951001_dp, &
+         & 62.6771168010577000_dp, 62.5513800030092000_dp, 62.4412321092643978_dp, 62.3457817373873979_dp, &
+         & 62.2640303097500976_dp, 62.1948955156605976_dp, 62.1372354945329022_dp, 62.0898732625190988_dp, &
+         & 62.0516208729826033_dp, 62.0213027784458006_dp, 61.9977778513171032_dp, 61.9799595259409983_dp, &
+         & 61.9668335480332999_dp, 61.9574728611774006_dp, 61.9510492243618032_dp, 61.9468412386623015_dp, &
+         & 61.9442385627638004_dp, 61.9427422123034006_dp, 61.9419609621244973_dp, 61.9416039978099988_dp, &
+         & 61.9414700874187005_dp, 61.9414336604743028_dp, 61.9414282839310033_dp, 61.9414278092845976_dp, &
+         & 61.9414185088213998_dp, 61.9413554968010018_dp, 61.9411238577462981_dp, 61.9405063915170970_dp, &
+         & 61.9391550738832990_dp, 61.9365671086972966_dp, 61.9320665207980028_dp, 61.9247921197223974_dp, &
+         & 61.9136925263846010_dp, 61.8975287955933027_dp, 61.8748849829162992_dp, 61.8441867910863010_dp, &
+         & 61.8037281861728971_dp, 61.7517055971605018_dp, 61.6862590087824998_dp, 61.6055189364918974_dp, &
+         & 61.5076579507141972_dp, 61.3909451173717002_dp, 61.2538014696672022_dp, 61.0948544497316988_dp, &
+         & 60.9129891818293032_dp, 60.7073944766309026_dp, 60.4776016214496011_dp, 60.2235142734682967_dp, &
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+         & 0.0029354492659053_dp, 0.0028074981077566_dp, 0.0026927189753820_dp, 0.0025902676836722_dp, &
+         & 0.0024992930525798_dp, 0.0024189504357111_dp, 0.0023484117471213_dp, 0.0022868724352634_dp, &
+         & 0.0022335558949180_dp, 0.0021877159042987_dp, 0.0021486377332138_dp, 0.0021156385067940_dp, &
+         & 0.0020880672731351_dp, 0.0020653050906674_dp, 0.0020467653533416_dp, 0.0020318944896474_dp, &
+         & 0.0020201730880842_dp, 0.0020111174246438_dp, 0.0020042812927557_dp, 0.0019992579724999_dp, &
+         & 0.0019956821262070_dp, 0.0019932313768862_dp, 0.0019916273208480_dp, 0.0019906357433541_dp, &
+         & 0.0019900658465417_dp, 0.0019897683559833_dp, 0.0019896324407966_dp, 0.0019895814560584_dp, &
+         & 0.0019895675871311_dp, 0.0019895655401285_dp, 0.0019895653745721_dp, 0.0019895623025263_dp, &
+         & 0.0019895414889959_dp, 0.0019894649777825_dp, 0.0019892610382470_dp, 0.0019888147787697_dp, &
+         & 0.0019879603578090_dp, 0.0019864751986063_dp, 0.0019840766274371_dp, 0.0019804213641379_dp, &
+         & 0.0019751082877235_dp, 0.0019676848599914_dp, 0.0019576575026008_dp, 0.0019445060676304_dp, &
+         & 0.0019277023143047_dp, 0.0019067319990285_dp, 0.0018811198202258_dp, 0.0018504560609642_dp, &
+         & 0.0018144233842463_dp, 0.0017728219180242_dp, 0.0017255905785163_dp, 0.0016728225908338_dp, &
+         & 0.0016147734358469_dp, 0.0015518600139330_dp, 0.0014846506037145_dp, 0.0014138460182807_dp, &
+         & 0.0013402530394302_dp, 0.0012647517304600_dp, 0.0011882586537553_dp, 0.0011116882124043_dp, &
+         & 0.0010359144429799_dp, 0.0009617364452623_dp, 0.0008898518844092_dp, 0.0008208417345799_dp, &
+         & 0.0007551653142741_dp, 0.0006931622204718_dp, 0.0006350574709302_dp, 0.0005809666653533_dp, &
+         & 0.0005309230254227_dp, 0.0004849890596432_dp, 0.0004427892947376_dp, 0.0004039545362247_dp, &
+         & 0.0003683432624655_dp, 0.0003356554014573_dp, 0.0003054450567390_dp, 0.0002779025797679_dp, &
+         & 0.0002525261005815_dp, 0.0002289162211326_dp, 0.0002068618285023_dp, 0.0001862086557765_dp, &
+         & 0.0001668555179180_dp, 0.0001487362209076_dp, 0.0001319143609919_dp, 0.0001164220191328_dp, &
+         & 1.0195522693834399e-04_dp, 8.8539358102934798e-05_dp, 7.6189496326151102e-05_dp, 6.4911942715184496e-05_dp, &
+         & 5.4699369371746798e-05_dp, 4.5530136560500998e-05_dp, 3.7373140031604601e-05_dp, 3.0193639901199300e-05_dp, &
+         & 2.3953308613045000e-05_dp, 1.8607974311635199e-05_dp, 1.4106212859132899e-05_dp, 1.0389029753810100e-05_dp, &
+         & 7.3903364636862500e-06_dp, 5.0379510128095700e-06_dp, 3.2549185675634400e-06_dp, 1.9610163235483899e-06_dp, &
+         &  1.0743688534375900e-06_dp, 5.1315524274286904e-07_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, &
+         & -1.4210854715202001e-14_dp &
+         &]
+      case (77)
+         out = [&
+         & 77.0000000000000000_dp, 76.9999999136344968_dp, 76.9999972430435946_dp, 76.9999791493659984_dp, &
+         & 76.9999126346331053_dp, 76.9997353272399039_dp, 76.9993472764033982_dp, 76.9986040438747068_dp, &
+         & 76.9973113411390955_dp, 76.9952214123305936_dp, 76.9920313089011046_dp, 76.9873831440066994_dp, &
+         & 76.9808663552820036_dp, 76.9720219470704023_dp, 76.9603486301335948_dp, 76.9453107308432038_dp, &
+         & 76.9263477045063979_dp, 76.9028850591630970_dp, 76.8743464757374966_dp, 76.8401668949720005_dp, &
+         & 76.7998063269480014_dp, 76.7527641204006983_dp, 76.6985934022468001_dp, 76.6369153604504021_dp, &
+         & 76.5674329964827933_dp, 76.4899439221590995_dp, 76.4043517285633982_dp, 76.3106754240241969_dp, &
+         & 76.2090564364611964_dp, 76.0997627137173964_dp, 75.9831895398564967_dp, 75.8598568151261929_dp, &
+         & 75.7304027140465053_dp, 75.5955738247505025_dp, 75.4562120637458946_dp, 75.3132388330797937_dp, &
+         & 75.1676370234164040_dp, 75.0204315542433022_dp, 74.8726691760170979_dp, 74.7253982407304989_dp, &
+         & 74.5796490855646965_dp, 74.4364155814819952_dp, 74.2966382888137957_dp, 74.1611895482496948_dp, &
+         & 74.0308607286479941_dp, 73.9063517598009980_dp, 73.7882630020773007_dp, 73.6770894460261019_dp, &
+         & 73.5732171915930024_dp, 73.4769221253285991_dp, 73.3883706912005067_dp, 73.3076226329235965_dp, &
+         & 73.2346355702922978_dp, 73.1692712568685977_dp, 73.1113033503749961_dp, 73.0604265098642003_dp, &
+         & 73.0162666153764945_dp, 72.9783918870047046_dp, 72.9463246620754973_dp, 72.9195535727220943_dp, &
+         & 72.8975458528253029_dp, 72.8797594944931006_dp, 72.8656549712476931_dp, 72.8547062490382018_dp, &
+         & 72.8464108179846050_dp, 72.8402984979451986_dp, 72.8359387996973027_dp, 72.8329466604007933_dp, &
+         & 72.8309864162348930_dp, 72.8297739253740986_dp, 72.8290768090942038_dp, 72.8287128357787026_dp, &
+         & 72.8285465297584977_dp, 72.8284841420453972_dp, 72.8284671710196960_dp, 72.8284646661299035_dp, &
+         & 72.8284643375412060_dp, 72.8284566818182952_dp, 72.8284048131533979_dp, 72.8282141382073007_dp, &
+         & 72.8277058669107049_dp, 72.8265935179866943_dp, 72.8244631998533976_dp, 72.8207584433887973_dp, &
+         & 72.8147702624160047_dp, 72.8056330017014943_dp, 72.7923263995231054_dp, 72.7736841404960018_dp, &
+         & 72.7484090022433065_dp, 72.7150945051919990_dp, 72.6722527581145954_dp, 72.6183479548800932_dp, &
+         & 72.5518347247217008_dp, 72.4712002770344981_dp, 72.3750090244411979_dp, 72.2619481321629991_dp, &
+         & 72.1308722513316951_dp, 71.9808455783343959_dp, 71.8111793740327045_dp, 71.6214632048272932_dp, &
+         & 71.4115884481169019_dp, 71.1817630301128048_dp, 70.9325168951881011_dp, 70.6646982728313020_dp, &
+         & 70.3794613213907070_dp, 70.0782461012831988_dp, 69.7627520101223979_dp, 69.4349057994345031_dp, &
+         & 69.0968251509754054_dp, 68.7507786302106041_dp, 68.3991427724865986_dp, 68.0443571671516025_dp, &
+         & 67.6888786739682047_dp, 67.3351362276189036_dp, 66.9854878968141065_dp, 66.6421818213432999_dp, &
+         & 66.3073223068002022_dp, 65.9828417933644999_dp, 65.6704788019175965_dp, 65.3717614728683003_dp, &
+         & 65.0879960524690944_dp, 64.8202596491757959_dp, 64.5693967048744071_dp, 64.3360188053561046_dp, &
+         & 64.1205076140201982_dp, 63.9230208132676978_dp, 63.7435009742521999_dp, 63.5816872619832978_dp, &
+         & 63.4371298392500975_dp, 63.3092067763656985_dp, 63.1971432151097972_dp, 63.1000324795409995_dp, &
+         & 63.0168587750047990_dp, 62.9465210695450992_dp, 62.8878577088675002_dp, 62.8396712776903001_dp, &
+         & 62.8007531884802006_dp, 62.7699074559185988_dp, 62.7459731051823013_dp, 62.7278446675533985_dp, &
+         & 62.7144902407993001_dp, 62.7049666360938005_dp, 62.6984311986077998_dp, 62.6941499744298980_dp, &
+         & 62.6915019997859986_dp, 62.6899796057856022_dp, 62.6891847581663981_dp, 62.6888215809856035_dp, &
+         & 62.6886853399201982_dp, 62.6886482789747035_dp, 62.6886428088540981_dp, 62.6886423259466028_dp, &
+         & 62.6886328636113035_dp, 62.6885687548836970_dp, 62.6883330842130988_dp, 62.6877048711462024_dp, &
+         & 62.6863300341675966_dp, 62.6836970260366968_dp, 62.6791181062453973_dp, 62.6717170950920988_dp, &
+         & 62.6604243135449011_dp, 62.6439792510272966_dp, 62.6209413157508976_dp, 62.5897088053193968_dp, &
+         & 62.5485459863186009_dp, 62.4956178905520972_dp, 62.4290321269717978_dp, 62.3468866823614007_dp, &
+         & 62.2473223570618970_dp, 62.1285781770319971_dp, 61.9890478670476028_dp, 61.8273352894205033_dp, &
+         & 61.6423066721064004_dp, 61.4331374847714997_dp, 61.1993519743679002_dp, 60.9408536329441972_dp, &
+         & 60.6579452195128965_dp, 60.3513373705618008_dp, 60.0221452891735012_dp, 59.6718734869775034_dp, &
+         & 59.3023890580133965_dp, 58.9158844781772970_dp, 58.5148314247886034_dp, 58.1019275563657018_dp, &
+         & 57.6800385273934992_dp, 57.2521376816086018_dp, 56.8212458345371019_dp, 56.3903733210864999_dp, &
+         & 55.9624660856971019_dp, 55.5403571002361005_dp, 55.1267238896439977_dp, 54.7240524991184003_dp, &
+         & 54.3346078956447016_dp, 53.9604105754113021_dp, 53.6032190337574974_dp, 53.2645177155992968_dp, &
+         & 52.9455100676220027_dp, 52.6471163310499009_dp, 52.3699757288740031_dp, 52.1144527084842011_dp, &
+         & 51.8806469015331970_dp, 51.6684064620780035_dp, 51.4773444451536974_dp, 51.3068578915962021_dp, &
+         & 51.1561492890371028_dp, 51.0242500796995984_dp, 50.9100458789647021_dp, 50.8123030518092023_dp, &
+         & 50.7296962662308033_dp, 50.6608366049706973_dp, 50.6042997725668968_dp, 50.5586538889836987_dp, &
+         & 50.5224863197823026_dp, 50.4944289624308027_dp, 50.4731813950171997_dp, 50.4575313025495973_dp, &
+         & 50.4463716309194012_dp, 50.4387139812792995_dp, 50.4336978476343987_dp, 50.4305954152279980_dp, &
+         & 50.4288117720771965_dp, 50.4278805343518997_dp, 50.4274550406599005_dp, 50.4272954227227004_dp, &
+         & 50.4272520027204010_dp, 50.4272455940171014_dp, 50.4272450799599028_dp, 50.4272355929955012_dp, &
+         & 50.4271713174091971_dp, 50.4269350334449982_dp, 50.4263051863073031_dp, 50.4249267769855010_dp, &
+         & 50.4222869418830015_dp, 50.4176961953219021_dp, 50.4102761910083998_dp, 50.3989547217007967_dp, &
+         & 50.3824685175725975_dp, 50.3593742187577007_dp, 50.3280676817764032_dp, 50.2868115296609020_dp, &
+         & 50.2337705711080034_dp, 50.1670543986369992_dp, 50.0847661387880976_dp, 49.9850559842046991_dp, &
+         & 49.8661778092454000_dp, 49.7265468834017028_dp, 49.5647964783807993_dp, 49.3798310425031985_dp, &
+         & 49.1708736128730024_dp, 48.9375052667751973_dp, 48.6796946841011007_dp, 48.3978162965311967_dp, &
+         & 48.0926560200861033_dp, 47.7654041784604999_dp, 47.4176358877644972_dp, 47.0512798401029002_dp, &
+         & 46.6685770341012969_dp, 46.2720314890609998_dp, 45.8643552853911984_dp, 45.4484103601380980_dp, &
+         & 45.0271493556033988_dp, 44.6035575195419014_dp, 44.1805972682737007_dp, 43.7611566353482004_dp, &
+         & 43.3480024997212965_dp, 42.9437392393608022_dp, 42.5507732721615994_dp, 42.1712837910666991_dp, &
+         & 41.8071998432268970_dp, 41.4601837307641006_dp, 41.1316205303098030_dp, 40.8226133600054979_dp, &
+         & 40.5339838883506971_dp, 40.2662774948724973_dp, 40.0197724629399971_dp, 39.7944926043979024_dp, &
+         & 39.5902227708598033_dp, 39.4065267810102000_dp, 39.2427673710835023_dp, 39.0981278437003965_dp, &
+         & 38.9716351394629967_dp, 38.8621840814166006_dp, 38.7685625437483026_dp, 38.6894772750332976_dp, &
+         & 38.6235800673496001_dp, 38.5694939116267008_dp, 38.5258387236469986_dp, 38.4912561716109991_dp, &
+         & 38.4644330925118965_dp, 38.4441229575893004_dp, 38.4291648426259016_dp, 38.4184993809898003_dp, &
+         & 38.4111812282996965_dp, 38.4063876472722967_dp, 38.4034229272126026_dp, 38.4017184800218985_dp, &
+         & 38.4008285969881982_dp, 38.4004220002548990_dp, 38.4002694714875972_dp, 38.4002279799368011_dp, &
+         & 38.4002218558698019_dp, 38.4002213835227977_dp, 38.4002129016871976_dp, 38.4001554360032031_dp, &
+         & 38.3999441860659019_dp, 38.3993810712612031_dp, 38.3981487081223989_dp, 38.3957885846606999_dp, &
+         & 38.3916843082151971_dp, 38.3850507011286979_dp, 38.3749293996921992_dp, 38.3601914729411035_dp, &
+         & 38.3395474143448993_dp, 38.3115646663239033_dp, 38.2746926110868984_dp, 38.2272947004096011_dp, &
+         & 38.1676871046620008_dp, 38.0941829459187034_dp, 38.0051408555794978_dp, 37.8990162836702993_dp, &
+         & 37.7744137098767965_dp, 37.6301376933271001_dp, 37.4652405773579034_dp, 37.2790646619498034_dp, &
+         & 37.0712767884191976_dp, 36.8418935563090031_dp, 36.5912958062385982_dp, 36.3202315350108975_dp, &
+         & 36.0298070257091965_dp, 35.7214666275096988_dp, 35.3969622494623977_dp, 35.0583141781281995_dp, &
+         & 34.7077652345368008_dp, 34.3477305101330970_dp, 33.9807449466326972_dp, 33.6094108623299022_dp, &
+         & 33.2363472170655996_dp, 32.8641420102687007_dp, 32.4953087895861970_dp, 32.1322478724687031_dp, &
+         & 31.7772125899955995_dp, 31.4322806643101984_dp, 31.0993307156978993_dp, 30.7800238333270997_dp, &
+         & 30.4757901017609001_dp, 30.1878199281639006_dp, 29.9170599520159008_dp, 29.6642132443053015_dp, &
+         & 29.4297434304828016_dp, 29.2138823166568002_dp, 29.0166405725959997_dp, 28.8378210307994003_dp, &
+         & 28.6770341928679997_dp, 28.5337155820125012_dp, 28.4071446313830016_dp, 28.2964648410384996_dp, &
+         & 28.2007049640266985_dp, 28.1188009903606009_dp, 28.0496186863828996_dp, 27.9919764187451001_dp, &
+         & 27.9446679517280998_dp, 27.9064848599779012_dp, 27.8762381526649001_dp, 27.8527786664707016_dp, &
+         & 27.8350157600406014_dp, 27.8219338370621010_dp, 27.8126062429001983_dp, 27.8062061228831006_dp, &
+         & 27.8020138989199985_dp, 27.7994211130363986_dp, 27.7979304975004986_dp, 27.7971522557289994_dp, &
+         & 27.7967966692370005_dp, 27.7966632762413006_dp, 27.7966269900908003_dp, 27.7966216343303003_dp, &
+         & 27.7966212288081991_dp, 27.7966140450259012_dp, 27.7965653738425011_dp, 27.7963864534094007_dp, &
+         & 27.7959095171150992_dp, 27.7948657531397991_dp, 27.7928668181128984_dp, 27.7893906466170009_dp, &
+         & 27.7837722113312999_dp, 27.7751997875705996_dp, 27.7627171581016015_dp, 27.7452320555814005_dp, &
+         & 27.7215309767804001_dp, 27.6903003118904998_dp, 27.6501535128848985_dp, 27.5996637796868995_dp, &
+         & 27.5374014787769994_dp, 27.4619752376776987_dp, 27.3720753970948998_dp, 27.2665182709188016_dp, &
+         & 27.1442894856735997_dp, 27.0045845683543000_dp, 26.8468449453959010_dp, 26.6707876209997998_dp, &
+         & 26.4764270275524005_dp, 26.2640878815392007_dp, 26.0344083201791001_dp, 25.7883331084539016_dp, &
+         & 25.5270972513349008_dp, 25.2522008688926007_dp, 24.9653766353895996_dp, 24.6685513966258014_dp, &
+         & 24.3638037315616991_dp, 24.0533192135453007_dp, 23.7393449847179987_dp, 23.4241450389561017_dp, &
+         & 23.1099573734766004_dp, 22.7989539614458003_dp, 22.4932043346737984_dp, 22.1946434367141983_dp, &
+         & 21.9050442864078008_dp, 21.6259958537991999_dp, 21.3588863802908016_dp, 21.1048921760528998_dp, &
+         & 20.8649717178441989_dp, 20.6398646745316015_dp, 20.4300953296378012_dp, 20.2359797667695993_dp, &
+         & 20.0576361410642008_dp, 19.8949973741244008_dp, 19.7478256699477015_dp, 19.6157283394921009_dp, &
+         & 19.4981745251065988_dp, 19.3945125179422995_dp, 19.3039874495897017_dp, 19.2257592053508013_dp, &
+         & 19.1589204464665990_dp, 19.1025146415944000_dp, 19.0555539962020006_dp, 19.0170371370377005_dp, &
+         & 18.9859663638587008_dp, 18.9613642295956986_dp, 18.9422891608713009_dp, 18.9278497907401011_dp, &
+         & 18.9172176511892012_dp, 18.9096378693125011_dp, 18.9044375311989015_dp, 18.9010314222405000_dp, &
+         & 18.8989249202973006_dp, 18.8977139053499990_dp, 18.8970816506166983_dp, 18.8967927691680018_dp, &
+         & 18.8966843999188008_dp, 18.8966549208700982_dp, 18.8966505698248000_dp, 18.8966502431904999_dp, &
+         & 18.8966444940561011_dp, 18.8966055428366992_dp, 18.8964623542163004_dp, 18.8960806673286008_dp, &
+         & 18.8952453620274987_dp, 18.8936456797259993_dp, 18.8908639041847017_dp, 18.8863680448401006_dp, &
+         & 18.8795089917689012_dp, 18.8695225237967996_dp, 18.8555364450606007_dp, 18.8365829958544992_dp, &
+         & 18.8116165271167013_dp, 18.7795362428472998_dp, 18.7392136027621987_dp, 18.6895237443421998_dp, &
+         & 18.6293800394252997_dp, 18.5577706603381003_dp, 18.4737958126720017_dp, 18.3767041168992016_dp, &
+         & 18.2659265102170991_dp, 18.1411060126186001_dp, 18.0021217722833988_dp, 17.8491059836546988_dp, &
+         & 17.6824525573854991_dp, 17.5028168055047999_dp, 17.3111058682367016_dp, 17.1084601215316994_dp, &
+         & 16.8962263285034986_dp, 16.6759237896837007_dp, 16.4492051606533991_dp, 16.2178138993992000_dp, &
+         & 15.9835404480266998_dp, 15.7481792284660997_dp, 15.5134883434662996_dp, 15.2811535466888007_dp, &
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+         & 0.1580679859218610_dp, 0.1566626054579810_dp, 0.1554508105488990_dp, 0.1544174094095330_dp, &
+         & 0.1535467198589660_dp, 0.1528228083205220_dp, 0.1522297247573480_dp, 0.1517517323415090_dp, &
+         & 0.1513735294940800_dp, 0.1510804607947730_dp, 0.1508587122750670_dp, 0.1506954858884200_dp, &
+         & 0.1505791475968290_dp, 0.1504993435779060_dp, 0.1504470795717620_dp, 0.1504147593283420_dp, &
+         & 0.1503961794286250_dp, 0.1503864793455990_dp, 0.1503820473658380_dp, 0.1503803847882640_dp, &
+         & 0.1503799325278980_dp, 0.1503798657752640_dp, 0.1503798605664310_dp, 0.1503797662521290_dp, &
+         & 0.1503791272593990_dp, 0.1503767782646290_dp, 0.1503705167845770_dp, 0.1503568140821160_dp, &
+         & 0.1503305732755390_dp, 0.1502849450117760_dp, 0.1502112102780590_dp, 0.1500987389800340_dp, &
+         & 0.1499350316963590_dp, 0.1497058503952930_dp, 0.1493954417172320_dp, 0.1489868535669810_dp, &
+         & 0.1484623421484490_dp, 0.1478038622319100_dp, 0.1469936285017180_dp, 0.1460147305533330_dp, &
+         & 0.1448517788877410_dp, 0.1434915545886210_dp, 0.1419236318248100_dp, 0.1401409404571010_dp, &
+         & 0.1381402363124380_dp, 0.1359224494238730_dp, 0.1334928857844490_dp, 0.1308612657051360_dp, &
+         & 0.1280415911999310_dp, 0.1250518451908530_dp, 0.1219135358184790_dp, 0.1186511087963850_dp, &
+         & 0.1152912586624950_dp, 0.1118621752549560_dp, 0.1083927643330040_dp, 0.1049118808544310_dp, &
+         & 0.1014476101978940_dp, 0.0980266270452574_dp, 0.0946736543840956_dp, 0.0914110369383536_dp, &
+         & 0.0882584350871412_dp, 0.0852326377008126_dp, 0.0823474858619022_dp, 0.0796138944907341_dp, &
+         & 0.0770399556068071_dp, 0.0746311053020321_dp, 0.0723903363274587_dp, 0.0703184392532563_dp, &
+         & 0.0684142571461308_dp, 0.0666749412812635_dp, 0.0650961982514247_dp, 0.0636725216817098_dp, &
+         & 0.0623974044122662_dp, 0.0612635293340418_dp, 0.0602629389846498_dp, 0.0593871854841126_dp, &
+         & 0.0586274634091808_dp, 0.0579747287757044_dp, 0.0574198074595387_dp, 0.0569534961844482_dp, &
+         & 0.0565666586991966_dp, 0.0562503190285497_dp, 0.0559957527852220_dp, 0.0557945765560675_dp, &
+         & 0.0556388344086542_dp, 0.0555210796884751_dp, 0.0554344495710950_dp, 0.0553727293618351_dp, &
+         & 0.0553304033450530_dp, 0.0553026890978856_dp, 0.0552855525904050_dp, 0.0552757020663108_dp, &
+         & 0.0552705595723069_dp, 0.0552682100081512_dp, 0.0552673286191094_dp, 0.0552670888611999_dp, &
+         & 0.0552670534734716_dp, 0.0552670506886273_dp, 0.0552669999630950_dp, 0.0552666562909820_dp, &
+         & 0.0552653929269979_dp, 0.0552620253477869_dp, 0.0552546559159737_dp, 0.0552405442312391_dp, &
+         & 0.0552160090839067_dp, 0.0551763676985502_dp, 0.0551159176531826_dp, 0.0550279663791287_dp, &
+         & 0.0549049123653447_dp, 0.0547383809689421_dp, 0.0545194159565341_dp, 0.0542387254903076_dp, &
+         & 0.0538869782332085_dp, 0.0534551416762099_dp, 0.0529348509028296_dp, 0.0523187921362762_dp, &
+         & 0.0516010819861208_dp, 0.0507776208136477_dp, 0.0498463975375785_dp, 0.0488077239017883_dp, &
+         & 0.0476643789494773_dp, 0.0464216491970006_dp, 0.0450872565077702_dp, 0.0436711734041637_dp, &
+         & 0.0421853337741709_dp, 0.0406432547622444_dp, 0.0390595922090284_dp, 0.0374496565902120_dp, &
+         & 0.0358289185220286_dp, 0.0342125323908959_dp, 0.0326149037032906_dp, 0.0310493207867211_dp, &
+         & 0.0295276651488621_dp, 0.0280602078667016_dp, 0.0266554925924680_dp, 0.0253202998184321_dp, &
+         & 0.0240596824446300_dp, 0.0228770596927887_dp, 0.0217743549779357_dp, 0.0207521632583081_dp, &
+         & 0.0198099343282081_dp, 0.0189461602100636_dp, 0.0181585569928444_dp, 0.0174442339082646_dp, &
+         & 0.0167998448760898_dp, 0.0162217199466710_dp, 0.0157059758675757_dp, 0.0152486063649206_dp, &
+         & 0.0148455537052286_dp, 0.0144927637676773_dp, 0.0141862272647018_dp, 0.0139220099313917_dp, &
+         & 0.0136962744851843_dp, 0.0135052969643965_dp, 0.0133454797330046_dp, 0.0132133630262388_dp, &
+         & 0.0131056364461131_dp, 0.0130191513206483_dp, 0.0129509343394147_dp, 0.0128982023947515_dp, &
+         & 0.0128583781182243_dp, 0.0128291052349425_dp, 0.0128082625886918_dp, 0.0127939755407738_dp, &
+         & 0.0127846234235420_dp, 0.0127788418372887_dp, 0.0127755188049008_dp, 0.0127737841161633_dp, &
+         & 0.0127729915759147_dp, 0.0127726942753412_dp, 0.0127726134031718_dp, 0.0127726014666507_dp, &
+         & 0.0127726005189999_dp, 0.0127725831517722_dp, 0.0127724654868189_dp, 0.0127720329448948_dp, &
+         & 0.0127708799997350_dp, 0.0127683570753732_dp, 0.0127635264000503_dp, 0.0127551290272407_dp, &
+         & 0.0127415652612228_dp, 0.0127208907307761_dp, 0.0126908302777622_dp, 0.0126488115992345_dp, &
+         & 0.0125920201145817_dp, 0.0125174757576758_dp, 0.0124221312682096_dp, 0.0123029900753124_dp, &
+         & 0.0121572400888255_dp, 0.0119823977685343_dp, 0.0117764549295600_dp, 0.0115380191242167_dp, &
+         & 0.0112664374022273_dp, 0.0109618930688526_dp, 0.0106254659399241_dp, 0.0102591486191272_dp, &
+         & 0.0098658144158890_dp, 0.0094491364083638_dp, 0.0090134613980126_dp, 0.0085636465531707_dp, &
+         & 0.0081048698668553_dp, 0.0076424277425389_dp, 0.0071815338421572_dp, 0.0067271327450129_dp, &
+         & 0.0062837400626847_dp, 0.0058553176332907_dp, 0.0054451886210387_dp, 0.0050559933089289_dp, &
+         & 0.0046896827710867_dp, 0.0043475450253823_dp, 0.0040302569066739_dp, 0.0037379545094467_dp, &
+         & 0.0034703151610955_dp, 0.0032266442159710_dp, 0.0030059605930859_dp, 0.0028070761526067_dp, &
+         & 0.0026286657081300_dp, 0.0024693262906368_dp, 0.0023276256532512_dp, 0.0022021406703914_dp, &
+         & 0.0020914864228132_dp, 0.0019943367812090_dp, 0.0019094374710562_dp, 0.0018356128865662_dp, &
+         & 0.0017717681181750_dp, 0.0017168876270972_dp, 0.0016700317710559_dp, 0.0016303320931570_dp, &
+         & 0.0015969860469483_dp, 0.0015692516762584_dp, 0.0015464426640364_dp, 0.0015279240683981_dp, &
+         & 0.0015131089547680_dp, 0.0015014560129316_dp, 0.0014924681337618_dp, 0.0014856918186439_dp, &
+         & 0.0014807172151876_dp, 0.0014771785144490_dp, 0.0014747544111060_dp, 0.0014731683193219_dp, &
+         & 0.0014721880543789_dp, 0.0014716247311810_dp, 0.0014713306929224_dp, 0.0014711963597733_dp, &
+         & 0.0014711459692478_dp, 0.0014711322620258_dp, 0.0014711302388974_dp, 0.0014711300767942_dp, &
+         & 0.0014711270877825_dp, 0.0014711068367603_dp, 0.0014710323939227_dp, 0.0014708339717657_dp, &
+         & 0.0014703998067347_dp, 0.0014695686236337_dp, 0.0014681241118382_dp, 0.0014657918718512_dp, &
+         & 0.0014622393214694_dp, 0.0014570790564221_dp, 0.0014498761296835_dp, 0.0014401596128408_dp, &
+         & 0.0014274386185775_dp, 0.0014112226746903_dp, 0.0013910459508821_dp, 0.0013664943653708_dp, &
+         & 0.0013372340866056_dp, 0.0013030394662792_dp, 0.0012638180858176_dp, 0.0012196304664656_dp, &
+         & 0.0011707021549512_dp, 0.0011174263701008_dp, 0.0010603561329532_dp, 0.0010001856996666_dp, &
+         & 0.0009377220740134_dp, 0.0008738483463731_dp, 0.0008094815749047_dp, 0.0007455288165943_dp, &
+         & 0.0006828454823875_dp, 0.0006222000613860_dp, 0.0005642481351771_dp, 0.0005095165833353_dp, &
+         & 0.0004583967960059_dp, 0.0004111448738087_dp, 0.0003678876119722_dp, 0.0003286342512610_dp, &
+         & 0.0002932942347513_dp, 0.0002617002322296_dp, 0.0002336330262267_dp, 0.0002088423441222_dp, &
+         & 0.0001870604281322_dp, 0.0001680110338498_dp, 0.0001514166531393_dp, 0.0001370043839302_dp, &
+         & 1.2451422948345201e-04_dp, 1.1371137553339799e-04_dp, 1.0439264418948799e-04_dp, 9.6380150054642399e-05_dp, &
+         & 8.9512180338147105e-05_dp, 8.3642778079706700e-05_dp, 7.8645138003707898e-05_dp, 7.4409338296277397e-05_dp, &
+         & 7.0836648276895203e-05_dp, 6.7837269440928995e-05_dp, 6.5331549379266094e-05_dp, 6.3250796713987297e-05_dp, &
+         & 6.1536248338711603e-05_dp, 6.0137013491612399e-05_dp, 5.9008113481695498e-05_dp, 5.8109288900709503e-05_dp, &
+         & 5.7404527382232097e-05_dp, 5.6861824262455202e-05_dp, 5.6452850358823498e-05_dp, 5.6152551721311297e-05_dp, &
+         & 5.5938826122314802e-05_dp, 5.5792339921367798e-05_dp, 5.5696451042308602e-05_dp, 5.5637168941302702e-05_dp, &
+         & 5.5603094523348800e-05_dp, 5.5585306569128099e-05_dp, 5.5577179551846698e-05_dp, 5.5574130882973798e-05_dp, &
+         & 5.5573301580125203e-05_dp, 5.5573179167822700e-05_dp, 5.5573169234435200e-05_dp, 5.5572984010154903e-05_dp, &
+         & 5.5571729134840098e-05_dp, 5.5567116461929800e-05_dp, 5.5554823077841300e-05_dp, 5.5527931266396997e-05_dp, &
+         & 5.5476475679938603e-05_dp, 5.5387134793249997e-05_dp, 5.5243107880187401e-05_dp, 5.5024218980292999e-05_dp, &
+         & 5.4707279431909201e-05_dp, 5.4266715224571298e-05_dp, 5.3675428290489401e-05_dp, 5.2905822357729401e-05_dp, &
+         & 5.1930884751527601e-05_dp, 5.0725232867421302e-05_dp, 4.9266442900375302e-05_dp, 4.7539181636579997e-05_dp, &
+         & 4.5554540506031999e-05_dp, 4.3403408866993198e-05_dp, 4.1141862382687598e-05_dp, 3.8669941361035901e-05_dp, &
+         & 3.5934219454247802e-05_dp, 3.2937857781689699e-05_dp, 2.9803540840589401e-05_dp, 2.6916361932194401e-05_dp, &
+         & 2.4052690406506399e-05_dp, 2.1045855447709999e-05_dp, 1.7903663348306499e-05_dp, 1.5505634934243099e-05_dp, &
+         & 1.3212993451361401e-05_dp, 1.0766772234660500e-05_dp, 8.3712824050508095e-06_dp, 6.8456172783726296e-06_dp, &
+         & 5.1043080446788702e-06_dp, 3.5790540664493198e-06_dp, 3.5302694385563899e-06_dp, 4.2316442119272298e-06_dp, &
+         & 4.7181030851106698e-06_dp, 4.4843081639101001e-06_dp, 3.6281483630773399e-06_dp, 2.4587119611396702e-06_dp, &
+         & 1.3478600209282400e-06_dp, 6.4227421603391100e-07_dp, 4.2135661715292398e-07_dp, 5.8196638974550297e-07_dp, &
+         & 7.7971468215309901e-07_dp, 8.9448612072828805e-07_dp, 9.3528906575102198e-07_dp, 8.6307517221939602e-07_dp, &
+         & 6.5358658218883605e-07_dp, 1.4210854715202001e-14_dp, 4.3016818551677700e-07_dp, 5.9614065150981301e-07_dp, &
+         & 6.4947801092785095e-07_dp, 6.2275613288420604e-07_dp, 5.5502086127035000e-07_dp, 4.7618453891118401e-07_dp, &
+         & 4.0402565559816102e-07_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, &
+         & 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, &
+         & 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, &
+         & 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, &
+         & 1.4210854715202001e-14_dp &
+         &]
+      case (78)
+         out = [&
+         & 78.0000000000000000_dp, 77.9999999120076950_dp, 77.9999971911104950_dp, 77.9999787566007967_dp, &
+         & 77.9999109889233040_dp, 77.9997303415677976_dp, 77.9993349809396932_dp, 77.9985777478837008_dp, &
+         & 77.9972606937286059_dp, 77.9951313947852043_dp, 77.9918811940057992_dp, 77.9871454593338029_dp, &
+         & 77.9805058878836945_dp, 77.9714948264667953_dp, 77.9596015250534009_dp, 77.9442801930634062_dp, &
+         & 77.9249596905635968_dp, 77.9010546578869025_dp, 77.8719778666056044_dp, 77.8371535592066977_dp, &
+         & 77.7960315298871024_dp, 77.7481016796275952_dp, 77.6929087507513003_dp, 77.6300669071845988_dp, &
+         & 77.5592737776357950_dp, 77.4803235251570044_dp, 77.3931184574744009_dp, 77.2976786605097033_dp, &
+         & 77.1941491359490044_dp, 77.0828039637124931_dp, 76.9640470979827001_dp, 76.8384095401081026_dp, &
+         & 76.7065428043643038_dp, 76.5692087873457012_dp, 76.4272663483062047_dp, 76.2816550847226011_dp, &
+         & 76.1333769261651980_dp, 75.9834762574948002_dp, 75.8330193143603992_dp, 75.6830735725516064_dp, &
+         & 75.5346877870174040_dp, 75.3888732394187997_dp, 75.2465866395073988_dp, 75.1087150089109059_dp, &
+         & 74.9760627667905055_dp, 74.8493411423241071_dp, 74.7291599623207929_dp, 74.6160218035602014_dp, &
+         & 74.5103184564697045_dp, 74.4123296160494050_dp, 74.3222236937036058_dp, 74.2400606263048957_dp, &
+         & 74.1657965435553024_dp, 74.0992901395376009_dp, 74.0403105781378059_dp, 73.9885467443961033_dp, &
+         & 73.9436176350505008_dp, 73.9050836622810010_dp, 73.8724586259723992_dp, 73.8452220929554954_dp, &
+         & 73.8228319080134980_dp, 73.8047365523584062_dp, 73.7903870621205016_dp, 73.7792482233046059_dp, &
+         & 73.7708087715809029_dp, 73.7645903457280951_dp, 73.7601549726824999_dp, 73.7571108996172029_dp, &
+         & 73.7551166334254020_dp, 73.7538830991151002_dp, 73.7531738841901046_dp, 73.7528035940734981_dp, &
+         & 73.7526344018049969_dp, 73.7525709313523947_dp, 73.7525536657944940_dp, 73.7525511174323043_dp, &
+         & 73.7525507831410039_dp, 73.7525429945530959_dp, 73.7524902257082005_dp, 73.7522962416075956_dp, &
+         & 73.7517791493390007_dp, 73.7506474960277956_dp, 73.7484802080460042_dp, 73.7447111618351983_dp, &
+         & 73.7386190745641983_dp, 73.7293232849794009_dp, 73.7157858599372986_dp, 73.6968203081302988_dp, &
+         & 73.6711070072209964_dp, 73.6372152523895949_dp, 73.5936316129831027_dp, 73.5387940414293979_dp, &
+         & 73.4711309195327971_dp, 73.3891039599450039_dp, 73.2912536177394998_dp, 73.1762454269646980_dp, &
+         & 73.0429154844570974_dp, 72.8903131885128062_dp, 72.7177393363086964_dp, 72.5247778203089979_dp, &
+         & 72.3113194554218950_dp, 72.0775769057252944_dp, 71.8240902202227005_dp, 71.5517230580547050_dp, &
+         & 71.2616501932700999_dp, 70.9553372518506933_dp, 70.6345137983700937_dp, 70.3011408640174977_dp, &
+         & 69.9573738635717035_dp, 69.6055217031813953_dp, 69.2480028522791002_dp, 68.8872993080916984_dp, &
+         & 68.5259096920315045_dp, 68.1663030575187037_dp, 67.8108751817104007_dp, 67.4619090173446949_dp, &
+         & 67.1215405674059014_dp, 66.7917308228531965_dp, 66.4742437641913995_dp, 66.1706299513409988_dp, &
+         & 65.8822150031822957_dp, 65.6100922794903028_dp, 65.3551192333117967_dp, 65.1179170968340060_dp, &
+         & 64.8988737229010013_dp, 64.6981494947129931_dp, 64.5156862392771018_dp, 64.3512190548051990_dp, &
+         & 64.2042909104709025_dp, 64.0742698158360042_dp, 63.9603682967832015_dp, 63.8616648589936986_dp, &
+         & 63.7771270693864025_dp, 63.7056358397270017_dp, 63.6460104543179028_dp, 63.5970338458264024_dp, &
+         & 63.5574775916806018_dp, 63.5261260808342030_dp, 63.5017992904453976_dp, 63.4833736175441032_dp, &
+         & 63.4698002350009034_dp, 63.4601204860563968_dp, 63.4534778979833973_dp, 63.4491264822869994_dp, &
+         & 63.4464350937823980_dp, 63.4448877400228994_dp, 63.4440798608409011_dp, 63.4437107293585996_dp, &
+         & 63.4435722546174006_dp, 63.4435345860566997_dp, 63.4435290262534011_dp, 63.4435285354285980_dp, &
+         & 63.4435189179581016_dp, 63.4434537581664983_dp, 63.4432142236706014_dp, 63.4425757110444977_dp, &
+         & 63.4411783336324007_dp, 63.4385021574910013_dp, 63.4338481669677989_dp, 63.4263258183407004_dp, &
+         & 63.4148478973664993_dp, 63.3981332319508013_dp, 63.3747176206589984_dp, 63.3429731174617032_dp, &
+         & 63.3011355602080030_dp, 63.2473399449291023_dp, 63.1796629347416001_dp, 63.0961714611756008_dp, &
+         & 62.9949760439484976_dp, 62.8742871453004994_dp, 62.7324726138930018_dp, 62.5681140885864977_dp, &
+         & 62.3800601480813981_dp, 62.1674740238110033_dp, 61.9298738440718992_dp, 61.6671636379078976_dp, &
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+         & 9.5504355499542692e-06_dp, 8.7728922579799507e-06_dp, 8.1137007441611803e-06_dp, 7.5664593879309896e-06_dp, &
+         & 7.1121573341770298e-06_dp, 6.7310554214827798e-06_dp, 6.4102975301239002e-06_dp, 6.1422459793902800e-06_dp, &
+         & 5.9212218843640602e-06_dp, 5.7417538954496203e-06_dp, 5.5979860320576302e-06_dp, 5.4839657082084201e-06_dp, &
+         & 5.3943477809070802e-06_dp, 5.3247986073756701e-06_dp, 5.2718741869739503e-06_dp, 5.2326765853649704e-06_dp, &
+         & 5.2046082288370599e-06_dp, 5.1852997984269703e-06_dp, 5.1726363778925597e-06_dp, 5.1648003136506304e-06_dp, &
+         & 5.1602945347895002e-06_dp, 5.1579419562131096e-06_dp, 5.1568670471624500e-06_dp, 5.1564638141599104e-06_dp, &
+         & 5.1563541205723604e-06_dp, 5.1563379201979800e-06_dp, 5.1563366838536197e-06_dp, 5.1563141454380499e-06_dp, &
+         & 5.1561614355932803e-06_dp, 5.1556001352537401e-06_dp, 5.1541043859515403e-06_dp, 5.1508334735217398e-06_dp, &
+         & 5.1445788074033797e-06_dp, 5.1337310793542201e-06_dp, 5.1162744370003599e-06_dp, 5.0898138539423599e-06_dp, &
+         & 5.0516409260126196e-06_dp, 4.9988452559546204e-06_dp, 4.9284935386140197e-06_dp, 4.8379377801666098e-06_dp, &
+         & 4.7253734010155296e-06_dp, 4.5908131340866004e-06_dp, 4.4375760523962501e-06_dp, 4.2738473808867596e-06_dp, &
+         & 4.1118681934904097e-06_dp, 3.9592105878227804e-06_dp, 3.8007410836371500e-06_dp, 3.5887632208186902e-06_dp, &
+         & 3.2687536446473999e-06_dp, 2.8651445092009500e-06_dp, 2.6015145948576901e-06_dp, 2.5263660603513901e-06_dp, &
+         & 2.2888798980602600e-06_dp, 1.6999203324985499e-06_dp, 1.2994263727250699e-06_dp, 1.8380016371111201e-06_dp, &
+         & 1.8989863548313201e-06_dp, 1.2017067092529001e-06_dp, 1.2956564177102301e-06_dp, 1.6201339718691101e-06_dp, &
+         & 1.1757700946191099e-06_dp, 2.2562211370313902e-06_dp, 3.7912336807721701e-06_dp, 4.5541844002627798e-06_dp, &
+         & 4.9001475872500999e-06_dp, 4.4968890620111796e-06_dp, 3.4175445620121498e-06_dp, 2.0642776803470000e-06_dp, &
+         & 9.2478065027989900e-07_dp, 5.9482958647549801e-07_dp, 5.5928202868926704e-07_dp, 1.0121308520183401e-06_dp, &
+         & 1.2127573540965401e-06_dp, 1.3733813233329800e-06_dp, 1.5327649833807300e-06_dp, 1.3877424862585001e-06_dp, &
+         & 9.5241713893301505e-07_dp, 6.1169563991825303e-07_dp, 9.0370208738477199e-07_dp, 1.0078111785105599e-06_dp, &
+         & 9.4695298002989095e-07_dp, 8.0012588909994499e-07_dp, 6.4924110176889403e-07_dp, 5.4073345268079699e-07_dp, &
+         & 4.8196876889505802e-07_dp, 4.6442492873666202e-07_dp, 4.5741128928966598e-07_dp, 4.3773354718723599e-07_dp, &
+         & 3.9922693417793198e-07_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, &
+         & 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, &
+         & 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, &
+         & 1.4210854715202001e-14_dp &
+         &]
+      case (79)
+         out = [&
+         & 79.0000000000000000_dp, 78.9999999104071975_dp, 78.9999971400218044_dp, 78.9999783702209015_dp, &
+         & 78.9999093699682930_dp, 78.9997254369485944_dp, 78.9993228853618064_dp, 78.9985518793696002_dp, &
+         & 78.9972108696141930_dp, 78.9950428403829932_dp, 78.9917335187408014_dp, 78.9869116366900954_dp, &
+         & 78.9801512759518971_dp, 78.9709762653351959_dp, 78.9588665458834953_dp, 78.9432663716346070_dp, &
+         & 78.9235941755864019_dp, 78.8992539016759054_dp, 78.8696475828893000_dp, 78.8341889299320968_dp, &
+         & 78.7923176796495994_dp, 78.7435144324540062_dp, 78.6873156788661987_dp, 78.6233286745387971_dp, &
+         & 78.5512457719325994_dp, 78.4708577607157025_dp, 78.3820657178135036_dp, 78.2848908348358066_dp, &
+         & 78.1794816891209052_dp, 78.0661184663983931_dp, 77.9452137344045042_dp, 77.8173095064971960_dp, &
+         & 77.6830705130050063_dp, 77.5432737990476966_dp, 77.3987949696534940_dp, 77.2505915840833950_dp, &
+         & 77.0996843422759071_dp, 76.9471367943799009_dp, 76.7940343344929062_dp, 76.6414632150674038_dp, &
+         & 76.4904902486458980_dp, 76.3421437624282930_dp, 76.1973962537719984_dp, 76.0571490749712069_dp, &
+         & 75.9222193644528005_dp, 75.7933293458670931_dp, 75.6710980395461945_dp, 75.5560353722989930_dp, &
+         & 75.4485386290548945_dp, 75.3488911597939932_dp, 75.2572632335065066_dp, 75.1737149139901959_dp, &
+         & 75.0982008172140070_dp, 75.0305765947831986_dp, 74.9706069716233969_dp, 74.9179751480404974_dp, &
+         & 74.8722933570929001_dp, 74.8331143484908949_dp, 74.7999435510870967_dp, 74.7722516487259981_dp, &
+         & 74.7494872901853995_dp, 74.7310896445838040_dp, 74.7165005102928035_dp, 74.7051756892755066_dp, &
+         & 74.6965953507811946_dp, 74.6902731290458064_dp, 74.6857637291977028_dp, 74.6826688536068986_dp, &
+         & 74.6806413065880008_dp, 74.6793871873239965_dp, 74.6786661373756004_dp, 74.6782896681015984_dp, &
+         & 74.6781176524773969_dp, 74.6780531228790068_dp, 74.6780355692069975_dp, 74.6780329783197061_dp, &
+         & 74.6780326384500057_dp, 74.6780247198923064_dp, 74.6779710704829967_dp, 74.6777738493374983_dp, &
+         & 74.6772481283179985_dp, 74.6760975913109064_dp, 74.6738941392294038_dp, 74.6700622047110016_dp, &
+         & 74.6638684768684016_dp, 74.6544176168643929_dp, 74.6406544081328036_dp, 74.6213726285487979_dp, &
+         & 74.5952307534152936_dp, 74.5607743960772069_dp, 74.5164651670427958_dp, 74.4607153846395988_dp, &
+         & 74.3919278053339070_dp, 74.3085392685251946_dp, 74.2090668822394974_dp, 74.0921551318206042_dp, &
+         & 73.9566220990592029_dp, 73.8015028655266008_dp, 73.6260881748672062_dp, 73.4299565734465034_dp, &
+         & 73.2129985511719070_dp, 72.9754316527061064_dp, 72.7178060787503995_dp, 72.4410008712277005_dp, &
+         & 72.1462112813962051_dp, 71.8349282707463033_dp, 71.5089112438654979_dp, 71.1701550747869049_dp, &
+         & 70.8208523439703015_dp, 70.4633515755668043_dp, 70.1001122734618036_dp, 69.7336577576368057_dp, &
+         & 69.3665271542653983_dp, 69.0012282471352023_dp, 68.6401930651084058_dp, 68.2857379230244987_dp, &
+         & 67.9400291460524954_dp, 67.6050550279718010_dp, 67.2826039150268969_dp, 66.9742478505798999_dp, &
+         & 66.6813310361588947_dp, 66.4049624212176042_dp, 66.1460119205494976_dp, 65.9051099652321994_dp, &
+         & 65.6826502482079064_dp, 65.4787956035793997_dp, 65.2934869675942053_dp, 65.1264553322278061_dp, &
+         & 64.9772365428080008_dp, 64.8451887261187068_dp, 64.7295120737936998_dp, 64.6292706504432033_dp, &
+         & 64.5434158464144048_dp, 64.4708110500040021_dp, 64.4102570724937067_dp, 64.3605178220166039_dp, &
+         & 64.3203456908107967_dp, 64.2885060977639000_dp, 64.2638006178265044_dp, 64.2450881354206018_dp, &
+         & 64.2313034834392056_dp, 64.2214730749063989_dp, 64.2147271015474956_dp, 64.2103079615795025_dp, &
+         & 64.2075746854973062_dp, 64.2060032495744935_dp, 64.2051827970527000_dp, 64.2048079206437023_dp, &
+         & 64.2046672907716953_dp, 64.2046290359622986_dp, 64.2046233896299015_dp, 64.2046228911661956_dp, &
+         & 64.2046131240156939_dp, 64.2045469501200046_dp, 64.2043036876689968_dp, 64.2036552376721943_dp, &
+         & 64.2022361125121961_dp, 64.1995182866210001_dp, 64.1947918661749952_dp, 64.1871524497774999_dp, &
+         & 64.1754959073809061_dp, 64.1585211376060016_dp, 64.1347411702632968_dp, 64.1025027572654977_dp, &
+         & 64.0600143384460949_dp, 64.0053819791700960_dp, 63.9366525586507990_dp, 63.8518631520116031_dp, &
+         & 63.7490952122816026_dp, 63.6265318436173004_dp, 63.4825161911439011_dp, 63.3156087836778028_dp, &
+         & 63.1246415772207001_dp, 62.9087664751244020_dp, 62.6674962491076002_dp, 62.4007360455776023_dp, &
+         & 62.1088040165115984_dp, 61.7924400426329967_dp, 61.4528020003211992_dp, 61.0914495489338023_dp, &
+         & 60.7103159696526973_dp, 60.3116691514010981_dp, 59.8980633594373018_dp, 59.4722838860882987_dp, &
+         & 59.0372870094033999_dp, 58.5961378202674013_dp, 58.1519483943623001_dp, 57.7078184946683024_dp, &
+         & 57.2667805454987970_dp, 56.8317501000112983_dp, 56.4054825148775976_dp, 55.9905361170860019_dp, &
+         & 55.5892418365374965_dp, 55.2036790879908992_dp, 54.8356575942823028_dp, 54.4867048139062007_dp, &
+         & 54.1580586352486009_dp, 53.8506650026372995_dp, 53.5651801350512002_dp, 53.3019769869859985_dp, &
+         & 53.0611555885045973_dp, 52.8425568941048027_dp, 52.6457797707483977_dp, 52.4702007630316984_dp, &
+         & 52.3149962836148035_dp, 52.1791668838684970_dp, 52.0615632579266006_dp, 51.9609136195310981_dp, &
+         & 51.8758520642722019_dp, 51.8049474916672992_dp, 51.7467326158159011_dp, 51.6997325455705976_dp, &
+         & 51.6624923717473976_dp, 51.6336031666399009_dp, 51.6117257864274990_dp, 51.5956118754160968_dp, &
+         & 51.5841215062767020_dp, 51.5762369544448021_dp, 51.5710721971814010_dp, 51.5678778457559019_dp, &
+         & 51.5660413578869026_dp, 51.5650825303373992_dp, 51.5646444305997989_dp, 51.5644800836953010_dp, &
+         & 51.5644353772987998_dp, 51.5644287787265014_dp, 51.5644282494393025_dp, 51.5644184814070030_dp, &
+         & 51.5643523015441971_dp, 51.5641090172643004_dp, 51.5634605099022991_dp, 51.5620412633743967_dp, &
+         & 51.5593232210504979_dp, 51.5545964743358027_dp, 51.5469566652997031_dp, 51.5352998451467030_dp, &
+         & 51.5183253671726007_dp, 51.4945472025555020_dp, 51.4623138451329964_dp, 51.4198367137216010_dp, &
+         & 51.3652266669388027_dp, 51.2965379196835016_dp, 51.2118183019086999_dp, 51.1091644448766971_dp, &
+         & 50.9867801396149005_dp, 50.8430358135341010_dp, 50.6765268434241989_dp, 50.4861282949618015_dp, &
+         & 50.2710436749804970_dp, 50.0308454200839989_dp, 49.7655051306372016_dp, 49.4754119879293981_dp, &
+         & 49.1613783468665986_dp, 48.8246321460312984_dp, 48.4667964763073016_dp, 48.0898573394699014_dp, &
+         & 47.6961212397352980_dp, 47.2881647141041981_dp, 46.8687781669378012_dp, 46.4409064101318023_dp, &
+         & 46.0075881472746033_dp, 45.5718963434499997_dp, 45.1368810753470981_dp, 44.7055161307191966_dp, &
+         & 44.2806503588284031_dp, 43.8649645616007007_dp, 43.4609345301773971_dp, 43.0708006412114983_dp, &
+         & 42.6965442142490019_dp, 42.3398706003239980_dp, 42.0021987441370968_dp, 41.6846567658369977_dp, &
+         & 41.3880829666833989_dp, 41.1130315873192984_dp, 40.8597826364349999_dp, 40.6283551490466976_dp, &
+         & 40.4185233092837990_dp, 40.2298349630482974_dp, 40.0616321340541006_dp, 39.9130732297632989_dp, &
+         & 39.7831566736689979_dp, 39.6707457238617991_dp, 39.5745942351736986_dp, 39.4933730965602976_dp, &
+         & 39.4256970318363003_dp, 39.3701513968386010_dp, 39.3253185467401991_dp, 39.2898032911287984_dp, &
+         & 39.2622569090236979_dp, 39.2413991680995977_dp, 39.2260377877870994_dp, 39.2150848088031978_dp, &
+         & 39.2075693841988979_dp, 39.2026465890192028_dp, 39.1996019545834997_dp, 39.1978515643772027_dp, &
+         & 39.1969376948950980_dp, 39.1965201385431001_dp, 39.1963634984424019_dp, 39.1963208885089998_dp, &
+         & 39.1963145993710995_dp, 39.1963141142922993_dp, 39.1963054038333993_dp, 39.1962463891931989_dp, &
+         & 39.1960294451327016_dp, 39.1954511519159965_dp, 39.1941855713437022_dp, 39.1917618330974022_dp, &
+         & 39.1875469318008030_dp, 39.1807345303384977_dp, 39.1703404430218995_dp, 39.1552053296405020_dp, &
+         & 39.1340049634210985_dp, 39.1052682373157978_dp, 39.0674028399258972_dp, 39.0187282635378025_dp, &
+         & 38.9575155052716013_dp, 38.8820324968038022_dp, 38.7905939633308989_dp, 38.6816140893734968_dp, &
+         & 38.5536600838400005_dp, 38.4055045188236974_dp, 38.2361741954748027_dp, 38.0449932921942988_dp, &
+         & 37.8316186942144981_dp, 37.5960656971029010_dp, 37.3387227133132029_dp, 37.0603541678284998_dp, &
+         & 36.7620914070577030_dp, 36.4454121111401008_dp, 36.1121093311945032_dp, 35.7642518059677030_dp, &
+         & 35.4041375915957985_dp, 35.0342432276479983_dp, 34.6571706535996995_dp, 34.2755939044984999_dp, &
+         & 33.8922073021730981_dp, 33.5096764845835011_dp, 33.1305932472879974_dp, 32.7574348587722994_dp, &
+         & 32.3925282804512022_dp, 32.0380195685636977_dp, 31.6958486330138989_dp, 31.3677294431720988_dp, &
+         & 31.0551356747413010_dp, 30.7592916735601989_dp, 30.4811684788078985_dp, 30.2214845195973005_dp, &
+         & 29.9807104984515007_dp, 29.7590779192230990_dp, 29.5565907105250005_dp, 29.3730394318357000_dp, &
+         & 29.2080176134081988_dp, 29.0609398555934995_dp, 28.9310613826317997_dp, 28.8174987991538991_dp, &
+         & 28.7192518284505987_dp, 28.6352258183821995_dp, 28.5642547854481990_dp, 28.5051247342364000_dp, &
+         & 28.4565969439258986_dp, 28.4174308623321998_dp, 28.3864061981313007_dp, 28.3623437603139017_dp, &
+         & 28.3441245670308994_dp, 28.3307067392441994_dp, 28.3211397119827986_dp, 28.3145753396677016_dp, &
+         & 28.3102755419254990_dp, 28.3076162303651984_dp, 28.3060873707119001_dp, 28.3052891625112011_dp, &
+         & 28.3049244532948983_dp, 28.3047876380667986_dp, 28.3047504209876983_dp, 28.3047449278240997_dp, &
+         & 28.3047445118982992_dp, 28.3047371438147017_dp, 28.3046872239639988_dp, 28.3045037133112984_dp, &
+         & 28.3040145412808002_dp, 28.3029440002245991_dp, 28.3008937859086984_dp, 28.2973284456319014_dp, &
+         & 28.2915659068846992_dp, 28.2827736563280006_dp, 28.2699710183814013_dp, 28.2520378408103987_dp, &
+         & 28.2277297271371985_dp, 28.1956997592382983_dp, 28.1545264271857008_dp, 28.1027472298985010_dp, &
+         & 28.0388971367002995_dp, 27.9615508188468986_dp, 27.8693672889895012_dp, 27.7611353471708000_dp, &
+         & 27.6358180487486997_dp, 27.4925943072952990_dp, 27.3308957459997011_dp, 27.1504370303198996_dp, &
+         & 26.9512381591024983_dp, 26.7336375551223995_dp, 26.4982952583138989_dp, 26.2461860499665995_dp, &
+         & 25.9785828749552010_dp, 25.6970314259250010_dp, 25.4033171556317008_dp, 25.0994262538577004_dp, &
+         & 24.7875022513105989_dp, 24.4697999110816014_dp, 24.1486379773470006_dp, 23.8263522174667983_dp, &
+         & 23.5052500545199017_dp, 23.1875679586251984_dp, 22.8754326405577011_dp, 22.5708269496864986_dp, &
+         & 22.2755611992524010_dp, 21.9912504160586018_dp, 21.7192977463633987_dp, 21.4608839677873000_dp, &
+         & 21.2169627890016983_dp, 20.9882613946526995_dp, 20.7752855342465992_dp, 20.5783283706388005_dp, &
+         & 20.3974822943116010_dp, 20.2326529620934998_dp, 20.0835749157063006_dp, 19.9498282567721006_dp, &
+         & 19.8308559819951995_dp, 19.7259816996805988_dp, 19.6344275453202002_dp, 19.5553321828774003_dp, &
+         & 19.4877688169603012_dp, 19.4307631500494011_dp, 19.3833112019101002_dp, 19.3443968708400007_dp, &
+         & 19.3130090654905011_dp, 19.2881581794397015_dp, 19.2688916264546997_dp, 19.2543081100506015_dp, &
+         & 19.2435702730954006_dp, 19.2359153668979985_dp, 19.2306635975090998_dp, 19.2272238506952000_dp, &
+         & 19.2250965646959990_dp, 19.2238736077702015_dp, 19.2232351202174989_dp, 19.2229433913918015_dp, &
+         & 19.2228339540659015_dp, 19.2228041844813013_dp, 19.2227997905538004_dp, 19.2227994607003012_dp, &
+         & 19.2227936549046987_dp, 19.2227543198005009_dp, 19.2226097200240993_dp, 19.2222242718577014_dp, &
+         & 19.2213807368419012_dp, 19.2197653003638003_dp, 19.2169561491762018_dp, 19.2124160998710991_dp, &
+         & 19.2054897576731989_dp, 19.1954055977762010_dp, 19.1812832548400003_dp, 19.1621461750585986_dp, &
+         & 19.1369396251789006_dp, 19.1045538621138995_dp, 19.0638520468770984_dp, 19.0137022434562013_dp, &
+         & 18.9530125878368985_dp, 18.8807684604580999_dp, 18.7960702667960007_dp, 18.6981702481048018_dp, &
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+         & 0.2693640542110240_dp, 0.2638670860872590_dp, 0.2583865938166670_dp, 0.2529608272955670_dp, &
+         & 0.2476258090780450_dp, 0.2424148188146090_dp, 0.2373579944093080_dp, 0.2324820461484480_dp, &
+         & 0.2278100759688900_dp, 0.2233614912047270_dp, 0.2191520004714820_dp, 0.2151936786608670_dp, &
+         & 0.2114950881490930_dp, 0.2080614440863970_dp, 0.2048948128654760_dp, 0.2019943344019590_dp, &
+         & 0.1993564605573540_dp, 0.1969752037657030_dp, 0.1948423915742410_dp, 0.1929479242751170_dp, &
+         & 0.1912800340121660_dp, 0.1898255446290590_dp, 0.1885701320486390_dp, 0.1874985851240610_dp, &
+         & 0.1865950666946220_dp, 0.1858433740557500_dp, 0.1852271972769590_dp, 0.1847303728647490_dp, &
+         & 0.1843371292717820_dp, 0.1840323198104840_dp, 0.1838016377545840_dp, 0.1836318079035240_dp, &
+         & 0.1835107487258230_dp, 0.1834276994389800_dp, 0.1833733070440640_dp, 0.1833396693892270_dp, &
+         & 0.1833203317325600_dp, 0.1833102359229740_dp, 0.1833056231075570_dp, 0.1833038926882440_dp, &
+         & 0.1833034219729090_dp, 0.1833033524963380_dp, 0.1833033470749540_dp, 0.1833032489119970_dp, &
+         & 0.1833025838440820_dp, 0.1833001389914700_dp, 0.1832936219688150_dp, 0.1832793599126750_dp, &
+         & 0.1832520474744540_dp, 0.1832045543746400_dp, 0.1831278021872720_dp, 0.1830107189226450_dp, &
+         & 0.1828402786068890_dp, 0.1826016313007980_dp, 0.1822783267324300_dp, 0.1818526318319160_dp, &
+         & 0.1813059388981340_dp, 0.1806192569214320_dp, 0.1797737738663870_dp, 0.1787514727331260_dp, &
+         & 0.1775357793387970_dp, 0.1761122154568820_dp, 0.1744690277387950_dp, 0.1725977612256320_dp, &
+         & 0.1704937466489580_dp, 0.1681564733634960_dp, 0.1655898246698230_dp, 0.1628021592223380_dp, &
+         & 0.1598062306840120_dp, 0.1566189470846100_dp, 0.1532609806519080_dp, 0.1497562473958140_dp, &
+         & 0.1461312827108830_dp, 0.1424145441849450_dp, 0.1386356753584720_dp, 0.1348247643191200_dp, &
+         & 0.1310116289198360_dp, 0.1272251564321460_dp, 0.1234927200772520_dp, 0.1198396886556030_dp, &
+         & 0.1162890389664000_dp, 0.1128610743736830_dp, 0.1095732471524120_dp, 0.1064400774524330_dp, &
+         & 0.1034731580503210_dp, 0.1006812316067140_dp, 0.0980703258937865_dp, 0.0956439323020817_dp, &
+         & 0.0934032137078447_dp, 0.0913472292701840_dp, 0.0894731657005678_dp, 0.0877765667829635_dp, &
+         & 0.0862515552149006_dp, 0.0848910430216989_dp, 0.0836869287348208_dp, 0.0826302811224480_dp, &
+         & 0.0817115104648281_dp, 0.0809205291421193_dp, 0.0802469036620153_dp, 0.0796800002175644_dp, &
+         & 0.0792091254879637_dp, 0.0788236637425683_dp, 0.0785132104634840_dp, 0.0782677017588327_dp, &
+         & 0.0780775378944867_dp, 0.0779336984255252_dp, 0.0778278457470947_dp, 0.0777524134806811_dp, &
+         & 0.0777006760166756_dp, 0.0776667957662909_dp, 0.0776458452286164_dp, 0.0776338018081049_dp, &
+         & 0.0776275143642522_dp, 0.0776246416493365_dp, 0.0776235640061458_dp, 0.0776232708621336_dp, &
+         & 0.0776232275947280_dp, 0.0776232241897787_dp, 0.0776231621693455_dp, 0.0776227419724052_dp, &
+         & 0.0776211972938228_dp, 0.0776170798234546_dp, 0.0776080692237997_dp, 0.0775908143171051_dp, &
+         & 0.0775608124884997_dp, 0.0775123339055881_dp, 0.0774383966492564_dp, 0.0773307981529427_dp, &
+         & 0.0771802073350756_dp, 0.0769763203607710_dp, 0.0767080809682881_dp, 0.0763639636844147_dp, &
+         & 0.0759323150305420_dp, 0.0754017440927868_dp, 0.0747615497970884_dp, 0.0740021682150740_dp, &
+         & 0.0731156196273872_dp, 0.0720959323505355_dp, 0.0709395189432485_dp, 0.0696454807353746_dp, &
+         & 0.0682158189122362_dp, 0.0666555346883229_dp, 0.0649726072271761_dp, 0.0631778454829117_dp, &
+         & 0.0612846184158116_dp, 0.0593084762975167_dp, 0.0572666832564579_dp, 0.0551776870710796_dp, &
+         & 0.0530605559224995_dp, 0.0509344130345113_dp, 0.0488178988151589_dp, 0.0467286865050767_dp, &
+         & 0.0446830719089775_dp, 0.0426956511810204_dp, 0.0407790935756935_dp, 0.0389440092701250_dp, &
+         & 0.0371989064179417_dp, 0.0355502269311501_dp, 0.0340024473243687_dp, 0.0325582293090037_dp, &
+         & 0.0312186045598963_dp, 0.0299831789592133_dp, 0.0288503433687737_dp, 0.0278174802858899_dp, &
+         & 0.0268811582938469_dp, 0.0260373087638754_dp, 0.0252813815961304_dp, 0.0246084787868597_dp, &
+         & 0.0240134662229252_dp, 0.0234910653296652_dp, 0.0230359270522342_dp, 0.0226426911595041_dp, &
+         & 0.0223060340637886_dp, 0.0220207082888209_dp, 0.0217815764426916_dp, 0.0215836421093911_dp, &
+         & 0.0214220795075306_dp, 0.0212922631224615_dp, 0.0211897978429647_dp, 0.0211105494691282_dp, &
+         & 0.0210506748526313_dp, 0.0210066504253064_dp, 0.0209752975089117_dp, 0.0209538026021363_dp, &
+         & 0.0209397308303210_dp, 0.0209310309121093_dp, 0.0209260303320775_dp, 0.0209234198713375_dp, &
+         & 0.0209222271971043_dp, 0.0209217797946195_dp, 0.0209216580913250_dp, 0.0209216401282077_dp, &
+         & 0.0209216387020490_dp, 0.0209216125663829_dp, 0.0209214354939178_dp, 0.0209207845655897_dp, &
+         & 0.0209190494967686_dp, 0.0209152526820020_dp, 0.0209079826336023_dp, 0.0208953440451722_dp, &
+         & 0.0208749276962124_dp, 0.0208438033672564_dp, 0.0207985387774698_dp, 0.0207352471966828_dp, &
+         & 0.0206496657165189_dp, 0.0205372651037692_dp, 0.0203933906416012_dp, 0.0202134313897488_dp, &
+         & 0.0199930129327015_dp, 0.0197282060944985_dp, 0.0194157415248242_dp, 0.0190532178264959_dp, &
+         & 0.0186392893548373_dp, 0.0181738193279273_dp, 0.0176579847199037_dp, 0.0170943217107435_dp, &
+         & 0.0164867041861925_dp, 0.0158402526583643_dp, 0.0151611765290198_dp, 0.0144565582241398_dp, &
+         & 0.0137340927044534_dp, 0.0130017996008860_dp, 0.0122677272853906_dp, 0.0115396683467708_dp, &
+         & 0.0108249042026074_dp, 0.0101299931624226_dp, 0.0094606115990814_dp, 0.0088214526203103_dp, &
+         & 0.0082161815306279_dp, 0.0076474431349425_dp, 0.0071169129333555_dp, 0.0066253825044100_dp, &
+         & 0.0061728686817304_dp, 0.0057587362260563_dp, 0.0053818244434751_dp, 0.0050405697375453_dp, &
+         & 0.0047331183202601_dp, 0.0044574255627197_dp, 0.0042113402494408_dp, 0.0039926734375797_dp, &
+         & 0.0037992526076351_dp, 0.0036289621165082_dp, 0.0034797711790588_dp, 0.0033497512162199_dp, &
+         & 0.0032370848902303_dp, 0.0031400689977801_dp, 0.0030571129704668_dp, 0.0029867344631356_dp, &
+         & 0.0029275533299256_dp, 0.0028782850504570_dp, 0.0028377344160049_dp, 0.0028047900694332_dp, &
+         & 0.0027784202901557_dp, 0.0027576702113663_dp, 0.0027416604580708_dp, 0.0027295870204540_dp, &
+         & 0.0027207220336578_dp, 0.0027144150273983_dp, 0.0027100941440779_dp, 0.0027072668043360_dp, &
+         & 0.0027055193281456_dp, 0.0027045150908549_dp, 0.0027039909010256_dp, 0.0027037514200146_dp, &
+         & 0.0027036615866081_dp, 0.0027036371501339_dp, 0.0027036335433621_dp, 0.0027036332544128_dp, &
+         & 0.0027036279257260_dp, 0.0027035918234759_dp, 0.0027034591110464_dp, 0.0027031053739535_dp, &
+         & 0.0027023313582930_dp, 0.0027008495212897_dp, 0.0026982741444641_dp, 0.0026941158105558_dp, &
+         & 0.0026877810877153_dp, 0.0026785782763170_dp, 0.0026657300132058_dp, 0.0026483933603601_dp, &
+         & 0.0026256876916051_dp, 0.0025967302074008_dp, 0.0025606782516263_dp, 0.0025167768040717_dp, &
+         & 0.0024644086521732_dp, 0.0024031439270829_dp, 0.0023327850849313_dp, 0.0022534031694335_dp, &
+         & 0.0021653613842148_dp, 0.0020693226021962_dp, 0.0019662384553669_dp, 0.0018573192629105_dp, &
+         & 0.0017439863258630_dp, 0.0016278101192029_dp, 0.0015104381519251_dp, 0.0013935161006202_dp, &
+         & 0.0012786100778754_dp, 0.0011671431727649_dp, 0.0010603505591575_dp, 0.0009592430217964_dp, &
+         & 0.0008645822324809_dp, 0.0007768849337282_dp, 0.0006964369925839_dp, 0.0006232964168333_dp, &
+         & 0.0005573280132865_dp, 0.0004982688730735_dp, 0.0004457534953701_dp, 0.0003993253294539_dp, &
+         & 0.0003584951280118_dp, 0.0003227746438483_dp, 0.0002916500097854_dp, 0.0002645994639749_dp, &
+         & 0.0002411570828542_dp, 0.0002209148849772_dp, 0.0002034813772127_dp, 0.0001884878454490_dp, &
+         & 0.0001756237504509_dp, 0.0001646329683922_dp, 0.0001552824178930_dp, 0.0001473512880210_dp, &
+         & 0.0001406432416360_dp, 0.0001349934337895_dp, 0.0001302630128919_dp, 0.0001263312159239_dp, &
+         & 0.0001230909382031_dp, 0.0001204468128577_dp, 0.0001183138973744_dp, 0.0001166164390725_dp, &
+         & 0.0001152867896650_dp, 0.0001142645069194_dp, 0.0001134956454223_dp, 0.0001129322470490_dp, &
+         & 0.0001125320143416_dp, 0.0001122581101782_dp, 0.0001120790138742_dp, 0.0001119683734885_dp, &
+         & 0.0001119048091738_dp, 0.0001118716353403_dp, 0.0001118564808138_dp, 0.0001118507962730_dp, &
+         & 0.0001118492500041_dp, 0.0001118490217777_dp, 0.0001118490032894_dp, 0.0001118486604099_dp, &
+         & 0.0001118463373189_dp, 0.0001118377978315_dp, 0.0001118150377692_dp, 0.0001117652435312_dp, &
+         & 0.0001116699414609_dp, 0.0001115043970970_dp, 0.0001112373324617_dp, 0.0001108310359541_dp, &
+         & 0.0001102419403054_dp, 0.0001094217339528_dp, 0.0001083190471860_dp, 0.0001068817174712_dp, &
+         & 1.0505959146200901e-04_dp, 1.0280776552917801e-04_dp, 1.0009009359635000e-04_dp, 9.6882693313204995e-05_dp, &
+         & 9.3177082703732594e-05_dp, 8.8982689860017699e-05_dp, 8.4329153452244996e-05_dp, 7.9269654889912999e-05_dp, &
+         & 7.3884668893242606e-05_dp, 6.8278356039286296e-05_dp, 6.2557459230561094e-05_dp, 5.6806932221320501e-05_dp, &
+         & 5.1100321613262201e-05_dp, 4.5536548100244497e-05_dp, 4.0230740268043499e-05_dp, 3.5245609637968300e-05_dp, &
+         & 3.0596208688393697e-05_dp, 2.6350310577072401e-05_dp, 2.2584735773989501e-05_dp, 1.9220357415861100e-05_dp, &
+         & 1.6214275348147600e-05_dp, 1.3879558935059300e-05_dp, 1.2279023380301600e-05_dp, 1.0847004688230300e-05_dp, &
+         & 9.1697373676424798e-06_dp, 7.1814103819178896e-06_dp, 5.0559822284412803e-06_dp, 3.0971474984653498e-06_dp, &
+         & 1.7860822083548600e-06_dp, 1.2016514148172100e-06_dp, 8.5329762100627704e-07_dp, 7.9244350104090699e-07_dp, &
+         & 8.2967281400669901e-07_dp, 9.8106524148988704e-07_dp, 1.0907316720931699e-06_dp, 1.0090096083104100e-06_dp, &
+         & 7.5464538440428399e-07_dp, 6.5511814284491297e-07_dp, 8.5882491873690004e-07_dp, 8.8017254995520499e-07_dp, &
+         & 7.7148631305590200e-07_dp, 6.1238979753852597e-07_dp, 4.8056872969937103e-07_dp, 3.9982465693810799e-07_dp, &
+         & 3.5796557540379602e-07_dp, 3.5686777266619201e-07_dp, 3.6709970174797501e-07_dp, 3.6172174588955402e-07_dp, &
+         &  3.3570606206012599e-07_dp, -2.8421709430404001e-14_dp, -4.2632564145605999e-14_dp, -2.8421709430404001e-14_dp, &
+         & -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, -4.2632564145605999e-14_dp, -4.2632564145605999e-14_dp, &
+         & -4.2632564145605999e-14_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, &
+         & -2.8421709430404001e-14_dp &
+         &]
+      case (80)
+         out = [&
+         & 80.0000000000000000_dp, 79.9999999088021951_dp, 79.9999970887842977_dp, 79.9999779827160040_dp, &
+         & 79.9999077462993995_dp, 79.9997205180484059_dp, 79.9993107545636946_dp, 79.9985259355261036_dp, &
+         & 79.9971609003954995_dp, 79.9949540280351954_dp, 79.9915854132047031_dp, 79.9866771325119004_dp, &
+         & 79.9797956298695993_dp, 79.9704561908780960_dp, 79.9581294199199988_dp, 79.9422495857564996_dp, &
+         & 79.9222246627504944_dp, 79.8974478658399931_dp, 79.8673104566077967_dp, 79.8312155819922964_dp, &
+         & 79.7885928916408034_dp, 79.7389136592692012_dp, 79.6817061030174045_dp, 79.6165705572375941_dp, &
+         & 79.5431940947047025_dp, 79.4613641397253048_dp, 79.3709805593736064_dp, 79.2720656856309063_dp, &
+         & 79.1647717198257936_dp, 79.0493850143824943_dp, 78.9263268218515037_dp, 78.7961502461082972_dp, &
+         & 78.6595333154504033_dp, 78.5172683046450999_dp, 78.3702476406739947_dp, 78.2194469121256049_dp, &
+         & 78.0659056453289963_dp, 77.9107065983699982_dp, 77.7549543523468003_dp, 77.5997539511841978_dp, &
+         & 77.4461902673505023_dp, 77.2953086653652974_dp, 77.1480974137256936_dp, 77.0054721730867016_dp, &
+         & 76.8682627752758947_dp, 76.7372024109736941_dp, 76.6129192666038961_dp, 76.4959305927448980_dp, &
+         & 76.3866391444948931_dp, 76.2853319048087002_dp, 76.1921809807105035_dp, 76.1072465457498026_dp, &
+         & 76.0304816871670965_dp, 75.9617390010052986_dp, 75.9007787617685068_dp, 75.8472784749133950_dp, &
+         & 75.8008436008039013_dp, 75.7610192185594968_dp, 75.7273023786080017_dp, 75.6991548750187064_dp, &
+         & 75.6760161542917018_dp, 75.6573160676374954_dp, 75.6424871702811004_dp, 75.6309762751662049_dp, &
+         & 75.6222549805552973_dp, 75.6158289119943987_dp, 75.6112454490864963_dp, 75.6080997461240969_dp, &
+         & 75.6060389020173034_dp, 75.6047641877480032_dp, 75.6040312969994943_dp, 75.6036486455526955_dp, &
+         & 75.6034738051951933_dp, 75.6034082159339960_dp, 75.6033903740074038_dp, 75.6033877405743056_dp, &
+         & 75.6033873951235051_dp, 75.6033793465326056_dp, 75.6033248161292022_dp, 75.6031243563594018_dp, &
+         & 75.6025900023797988_dp, 75.6014205724677026_dp, 75.5991809386614051_dp, 75.5952860852208062_dp, &
+         & 75.5889906674204042_dp, 75.5793846618705061_dp, 75.5653955605354071_dp, 75.5457974015551059_dp, &
+         & 75.5192267483937059_dp, 75.4842055229226929_dp, 75.4391703674859997_dp, 75.3825079577951982_dp, &
+         & 75.3125954177329930_dp, 75.2278447078373063_dp, 75.1267495853446974_dp, 75.0079334851426012_dp, &
+         & 74.8701964743588064_dp, 74.7125593207922947_dp, 74.5343027212136064_dp, 74.3349998885852017_dp, &
+         & 74.1145410104999058_dp, 73.8731485505854977_dp, 73.6113829223006064_dp, 73.3301386410224012_dp, &
+         & 73.0306315600740987_dp, 72.7143781346450027_dp, 72.3831677914756995_dp, 72.0390294336242931_dp, &
+         & 71.6841929676295990_dp, 71.3210466349160015_dp, 70.9520909794029961_dp, 70.5798905364427043_dp, &
+         & 70.2070247197101054_dp, 69.8360397449819033_dp, 69.4694035624743975_dp, 69.1094655433415994_dp, &
+         & 68.7584221017362012_dp, 68.4182887007573015_dp, 68.0908780204516972_dp, 67.7777836379953982_dp, &
+         & 67.4803684392885970_dp, 67.1997570840491960_dp, 66.9368320617669070_dp, 66.6922330907987941_dp, &
+         & 66.4663597607704020_dp, 66.2593773818972949_dp, 66.0712259988243034_dp, 65.9016324779998968_dp, &
+         & 65.7501255110829987_dp, 65.6160533087058013_dp, 65.4986036967626006_dp, 65.3968262729115963_dp, &
+         & 65.3096562327967973_dp, 65.2359394316832066_dp, 65.1744582066506979_dp, 65.1239574476156946_dp, &
+         & 65.0831703741318961_dp, 65.0508434522017041_dp, 65.0257598748768970_dp, 65.0067610359507029_dp, &
+         & 64.9927654506993946_dp, 64.9827846236003950_dp, 64.9759354309749995_dp, 64.9714486757655010_dp, &
+         & 64.9686735796507975_dp, 64.9670781004356002_dp, 64.9662450948798949_dp, 64.9658644828245997_dp, &
+         & 64.9657217013038064_dp, 64.9656828611928034_dp, 64.9656771284710004_dp, 64.9656766223807978_dp, &
+         & 64.9656667057922022_dp, 64.9655995194308957_dp, 64.9653525350484955_dp, 64.9646941637413988_dp, &
+         & 64.9632533259979965_dp, 64.9604939177645946_dp, 64.9556951848173014_dp, 64.9479388909682029_dp, &
+         & 64.9361040188053948_dp, 64.9188695721225031_dp, 64.8947258530063067_dp, 64.8619943596496000_dp, &
+         & 64.8188561905088960_dp, 64.7633885465471053_dp, 64.6936086006514017_dp, 64.6075236624436968_dp, &
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+         & 0.0002665373081356_dp, 0.0002372000100479_dp, 0.0002119076320639_dp, 0.0001901691497324_dp, &
+         & 0.0001715341349069_dp, 0.0001555963356452_dp, 0.0001419938662508_dp, 0.0001304073253863_dp, &
+         & 1.2055690611134699e-04_dp, 1.1219919068139500e-04_dp, 1.0512393940587099e-04_dp, 9.9150728431141006e-05_dp, &
+         & 9.4125196199001894e-05_dp, 8.9915106030957799e-05_dp, 8.6406745069211906e-05_dp, 8.3501924294182599e-05_dp, &
+         & 8.1115478948845494e-05_dp, 7.9173133016752204e-05_dp, 7.7609716711890501e-05_dp, 7.6367750267536394e-05_dp, &
+         & 7.5396350098344596e-05_dp, 7.4650386864050206e-05_dp, 7.4089845384151003e-05_dp, 7.3679356589195804e-05_dp, &
+         & 7.3387872362218304e-05_dp, 7.3188445057326094e-05_dp, 7.3058067968645405e-05_dp, 7.2977532639129095e-05_dp, &
+         & 7.2931266586806500e-05_dp, 7.2907121321463806e-05_dp, 7.2896091381835504e-05_dp, 7.2891954033593706e-05_dp, &
+         & 7.2890828604954495e-05_dp, 7.2890662494273797e-05_dp, 7.2890649079226905e-05_dp, 7.2890399906100397e-05_dp, &
+         & 7.2888711855512197e-05_dp, 7.2882506600535594e-05_dp, 7.2865967993607201e-05_dp, 7.2829785267458606e-05_dp, &
+         & 7.2760535488214400e-05_dp, 7.2640248646393997e-05_dp, 7.2446206146992194e-05_dp, 7.2151030124700797e-05_dp, &
+         & 7.1723125060430007e-05_dp, 7.1127529807313294e-05_dp, 7.0327225259347897e-05_dp, 6.9284915653611306e-05_dp, &
+         & 6.7965258310209706e-05_dp, 6.6337457212739496e-05_dp, 6.4378067307302404e-05_dp, 6.2073784036442703e-05_dp, &
+         & 5.9423925407031702e-05_dp, 5.6442251874955198e-05_dp, 5.3157723442609501e-05_dp, 4.9613826419658801e-05_dp, &
+         & 4.5866369205782603e-05_dp, 4.1980193699941999e-05_dp, 3.8025659208074103e-05_dp, 3.4075326894367202e-05_dp, &
+         & 3.0200319670825600e-05_dp, 2.6466165451211099e-05_dp, 2.2929509796654202e-05_dp, 1.9635657679373300e-05_dp, &
+         & 1.6612669398341499e-05_dp, 1.3862581127455101e-05_dp, 1.1364723974338600e-05_dp, 9.0996417583255607e-06_dp, &
+         & 7.0681742556644201e-06_dp, 5.2734929738562599e-06_dp, 3.6842550628080100e-06_dp, 2.2869077156428800e-06_dp, &
+         & 1.6162754548076900e-06_dp, 1.9402448998562199e-06_dp, 1.9818383520941998e-06_dp, 1.6489630212390700e-06_dp, &
+         & 1.3861152581284801e-06_dp, 1.1873286496211200e-06_dp, 2.8421709430404001e-14_dp, 1.6604630275196499e-06_dp, &
+         & 2.6522940288486998e-06_dp, 3.1354825722473800e-06_dp, 3.0661480394655899e-06_dp, 2.5215451273652400e-06_dp, &
+         & 1.6649147767111599e-06_dp, 6.5449458475086399e-07_dp, 6.4962024737269499e-07_dp, 9.0121935159004405e-07_dp, &
+         & 8.3364841430011396e-07_dp, 6.4532727606092500e-07_dp, 4.7197063679504899e-07_dp, 1.4210854715202001e-14_dp, &
+         & 1.4210854715202001e-14_dp, 3.9733124879148802e-07_dp, 4.4388860942490298e-07_dp, 4.6002178066828502e-07_dp, &
+         & 4.3977840391562500e-07_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, &
+         & 1.4210854715202001e-14_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 1.4210854715202001e-14_dp, &
+         & 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, &
+         & 0.0000000000000000_dp &
+         &]
+      case (81)
+         out = [&
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+         & 65.7292109976851009_dp, 65.7291428145916967_dp, 65.7288921661161964_dp, 65.7282240276801986_dp, &
+         & 65.7267618148033961_dp, 65.7239614705920019_dp, 65.7190915495106935_dp, 65.7112201963856961_dp, &
+         & 65.6992097706983031_dp, 65.6817196943039932_dp, 65.6572179017487940_dp, 65.6240010422208968_dp, &
+         & 65.5802233180034051_dp, 65.5239335461870951_dp, 65.4531197030708967_dp, 65.3657598647870941_dp, &
+         & 65.2598781104579047_dp, 65.1336036288894036_dp, 64.9852309938059989_dp, 64.8132793739830930_dp, &
+         & 64.6165483477167015_dp, 64.3941680121120044_dp, 64.1456412218657022_dp, 63.8708760533798028_dp, &
+         & 63.5702069536839005_dp, 63.2444034818906005_dp, 62.8946660670257032_dp, 62.5226087750737989_dp, &
+         & 62.1302296822702971_dp, 61.7198700627111023_dp, 61.2941641710673011_dp, 60.8559818747259982_dp, &
+         & 60.4083666988520989_dp, 59.9544719420285972_dp, 59.4974973819989970_dp, 59.0406287468616995_dp, &
+         & 58.5869816427979018_dp, 58.1395510934001010_dp, 57.7011673446685975_dp, 57.2744581868782987_dp, &
+         & 56.8618177672211971_dp, 56.4653817076601996_dp, 56.0870082691345004_dp, 55.7282652766077007_dp, &
+         & 55.3904225062860007_dp, 55.0744492179300025_dp, 54.7810164877554016_dp, 54.5105039672384990_dp, &
+         & 54.2630106695397032_dp, 54.0383693749768028_dp, 53.8361642512945977_dp, 53.6557512994502019_dp, &
+         & 53.4962812540738994_dp, 53.3567245818568026_dp, 53.2358982244654015_dp, 53.1324937215006017_dp, &
+         & 53.0451063228237985_dp, 52.9722646604274985_dp, 52.9124605023354988_dp, 52.8641780607931011_dp, &
+         & 52.8259222811592011_dp, 52.7962455035579978_dp, 52.7737718731886005_dp, 52.7572188828283970_dp, &
+         & 52.7454154665079997_dp, 52.7373161284955003_dp, 52.7320106861910034_dp, 52.7287293264743013_dp, &
+         & 52.7268428174250019_dp, 52.7258578742959969_dp, 52.7254078421308989_dp, 52.7252390189604014_dp, &
+         & 52.7251930949108996_dp, 52.7251863166154990_dp, 52.7251857729123969_dp, 52.7251757388316022_dp, &
+         & 52.7251077564516990_dp, 52.7248578459371018_dp, 52.7241916755314008_dp, 52.7227337741962998_dp, &
+         & 52.7199417045646967_dp, 52.7150862277214003_dp, 52.7072383672608993_dp, 52.6952641361105023_dp, &
+         & 52.6778275223755017_dp, 52.6534021351849972_dp, 52.6202916831924981_dp, 52.5766591933250993_dp, &
+         & 52.5205645748475973_dp, 52.4500097976599022_dp, 52.3629905936993012_dp, 52.2575532226457966_dp, &
+         & 52.1318544904773020_dp, 51.9842228995728988_dp, 51.8132185726366998_dp, 51.6176894600105030_dp, &
+         & 51.3968213373025975_dp, 51.1501792464961014_dp, 50.8777383369943976_dp, 50.5799025185007025_dp, &
+         & 50.2575099252772972_dp, 49.9118248747155988_dp, 49.5445167288021011_dp, 49.1576267667863007_dp, &
+         & 48.7535247758432035_dp, 48.3348574955859007_dp, 47.9044912693737004_dp, 47.4654512589584030_dp, &
+         & 47.0208594117166001_dp, 46.5738731038666032_dp, 46.1276260935780016_dp, 45.6851731551416975_dp, &
+         & 45.2494395420407969_dp, 44.8231762239139968_dp, 44.4089216291776978_dp, 44.0089703799769012_dp, &
+         & 43.6253492292780010_dp, 43.2598001226021012_dp, 42.9137700419245007_dp, 42.5884070781892987_dp, &
+         & 42.2845620422189015_dp, 42.0027948667248978_dp, 41.7433850657268977_dp, 41.5063455835025010_dp, &
+         & 41.2914394609319970_dp, 41.0981988514082985_dp, 40.9259460141416014_dp, 40.7738159878821023_dp, &
+         & 40.6407806964185028_dp, 40.5256742568123016_dp, 40.4272192538052977_dp, 40.3440537131935031_dp, &
+         & 40.2747584588435004_dp, 40.2178844791046970_dp, 40.1719798659390008_dp, 40.1356158317014007_dp, &
+         & 40.1074112615633993_dp, 40.0860552309219997_dp, 40.0703269125330976_dp, 40.0591123217223029_dp, &
+         & 40.0514174020153035_dp, 40.0463770376750006_dp, 40.0432596913072985_dp, 40.0414674989405981_dp, &
+         & 40.0405318049574035_dp, 40.0401042768092026_dp, 40.0399438959433027_dp, 40.0399002684309977_dp, &
+         & 40.0398938291005990_dp, 40.0398933324375008_dp, 40.0398844139619996_dp, 40.0398239899784016_dp, &
+         & 40.0396018650273007_dp, 40.0390097614934035_dp, 40.0377139575575001_dp, 40.0352323386343016_dp, &
+         & 40.0309167844788973_dp, 40.0239417069193024_dp, 40.0132994284493009_dp, 39.9978029460335023_dp, &
+         & 39.9760964523837998_dp, 39.9466737833419998_dp, 39.9079047207282969_dp, 39.8580688038210980_dp, &
+         & 39.7953959926593015_dp, 39.7181131915135026_dp, 39.6244952965535973_dp, 39.5129190998452984_dp, &
+         & 39.3819180896729009_dp, 39.2302359654905999_dp, 39.0568765654591985_dp, 38.8611479127276027_dp, &
+         & 38.6426982425793994_dp, 38.4015421833060984_dp, 38.1380757205832026_dp, 37.8530791520523024_dp, &
+         & 37.5477078922081020_dp, 37.2234716597394026_dp, 36.8822032043920984_dp, 36.5260182437814009_dp, &
+         & 36.1572686304250013_dp, 35.7784909268830020_dp, 35.3923525338904028_dp, 35.0015973256066033_dp, &
+         & 34.6089924543472023_dp, 34.2172776609194997_dp, 33.8291181245839994_dp, 33.4470616443095992_dp, &
+         & 33.0735007656293973_dp, 32.7106403336440010_dp, 32.3604708278345967_dp, 32.0247476877534965_dp, &
+         & 31.7049766580398007_dp, 31.4024049773801011_dp, 31.1180180371782988_dp, 30.8525409746957990_dp, &
+         & 30.6064445667630984_dp, 30.3799547621858999_dp, 30.1730652253761988_dp, 29.9855523409963993_dp, &
+         & 29.8169922261383995_dp, 29.6667793918859992_dp, 29.5341467750915996_dp, 29.4181869155409998_dp, &
+         & 29.3178740806899008_dp, 29.2320871410762990_dp, 29.1596329780456998_dp, 29.0992701666987017_dp, &
+         & 29.0497326269834986_dp, 29.0097528811304990_dp, 28.9780845029885015_dp, 28.9535233010632993_dp, &
+         & 28.9349267485625994_dp, 28.9212311659746000_dp, 28.9114661787052007_dp, 28.9047660162725002_dp, &
+         & 28.9003772905345002_dp, 28.8976629862041001_dp, 28.8961025131337017_dp, 28.8952878004501983_dp, &
+         & 28.8949155503294008_dp, 28.8947759062689009_dp, 28.8947379196807006_dp, 28.8947323129392011_dp, &
+         & 28.8947318884136983_dp, 28.8947243679860009_dp, 28.8946734159828011_dp, 28.8944861110444009_dp, &
+         & 28.8939868249630010_dp, 28.8928941501706014_dp, 28.8908015494663992_dp, 28.8871625063014008_dp, &
+         & 28.8812808639446992_dp, 28.8723069371615004_dp, 28.8592398575340994_dp, 28.8409364689572989_dp, &
+         & 28.8161269186422011_dp, 28.7834368877253013_dp, 28.7414161732550006_dp, 28.6885730726430985_dp, &
+         & 28.6234137401620998_dp, 28.5444853957701987_dp, 28.4504219879014002_dp, 28.3399906668579007_dp, &
+         & 28.2121372398510992_dp, 28.0660286783777018_dp, 27.9010907559949999_dp, 27.7170390249631993_dp, &
+         & 27.5139015979200998_dp, 27.2920325758184994_dp, 27.0521154301038003_dp, 26.7951561652803001_dp, &
+         & 26.5224666074375008_dp, 26.2356386334115008_dp, 25.9365105316856983_dp, 25.6271269465697991_dp, &
+         & 25.3096940021444006_dp, 24.9865312531747996_dp, 24.6600220981359008_dp, 24.3325642423575985_dp, &
+         & 24.0065217300744997_dp, 23.6841799680928986_dp, 23.3677050242675008_dp, 23.0591082839885999_dp, &
+         & 22.7602172812234009_dp, 22.4726531980967010_dp, 22.1978151754483015_dp, 21.9368712327164985_dp, &
+         & 21.6907552956751992_dp, 21.4601696039303000_dp, 21.2455916324815988_dp, 21.0472846146525008_dp, &
+         & 20.8653107865556002_dp, 20.6995465670521988_dp, 20.5496990192147990_dp, 20.4153230872548015_dp, &
+         & 20.2958392474644995_dp, 20.1905513383164994_dp, 20.0986644339077998_dp, 20.0193026915749996_dp, &
+         & 19.9515271379110999_dp, 19.8943533598759004_dp, 19.8467690438374014_dp, 19.8077512615007016_dp, &
+         & 19.7762833451008007_dp, 19.7513711328690995_dp, 19.7320583075645004_dp, 19.7174405032850011_dp, &
+         & 19.7066778253439985_dp, 19.6990054196904012_dp, 19.6937417452413008_dp, 19.6902942453667009_dp, &
+         & 19.6881621821170008_dp, 19.6869364848719002_dp, 19.6862965684019002_dp, 19.6860041870977014_dp, &
+         & 19.6858945050701983_dp, 19.6858646689269996_dp, 19.6858602651758012_dp, 19.6858599345848013_dp, &
+         & 19.6858541158091001_dp, 19.6858146927650992_dp, 19.6856697697525007_dp, 19.6852834602639994_dp, &
+         & 19.6844380418225988_dp, 19.6828190043233988_dp, 19.6800036095865991_dp, 19.6754535191045008_dp, &
+         & 19.6685119755464015_dp, 19.6584059373887996_dp, 19.6442534596829006_dp, 19.6250764818410985_dp, &
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+         & 0.4261806784897710_dp, 0.4188172542437910_dp, 0.4114750824850260_dp, 0.4042059732095000_dp, &
+         & 0.3970587045357800_dp, 0.3900782970242600_dp, 0.3833054554068410_dp, 0.3767761737531860_dp, &
+         & 0.3705214931163850_dp, 0.3645673956831390_dp, 0.3589348163859680_dp, 0.3536397516546540_dp, &
+         & 0.3486934452130300_dp, 0.3441026322347800_dp, 0.3398698254059700_dp, 0.3359936291672200_dp, &
+         & 0.3324690713256900_dp, 0.3292879440886050_dp, 0.3264391491788670_dp, 0.3239090439062690_dp, &
+         & 0.3216817867894410_dp, 0.3197396825000140_dp, 0.3180635265169940_dp, 0.3166329499533160_dp, &
+         & 0.3154267645984130_dp, 0.3144233073859510_dp, 0.3136007823483740_dp, 0.3129375967816090_dp, &
+         & 0.3124126869550570_dp, 0.3120058274085690_dp, 0.3116979168250960_dp, 0.3114712327833760_dp, &
+         & 0.3113096474846770_dp, 0.3111987968744780_dp, 0.3111261964669440_dp, 0.3110812985951550_dp, &
+         & 0.3110554876807040_dp, 0.3110420123193480_dp, 0.3110358553752950_dp, 0.3110335457026990_dp, &
+         & 0.3110329174166680_dp, 0.3110328246829970_dp, 0.3110328174468290_dp, 0.3110326864240990_dp, &
+         & 0.3110317987265320_dp, 0.3110285354664200_dp, 0.3110198368906230_dp, 0.3110008006639050_dp, &
+         & 0.3109643455207020_dp, 0.3109009544405410_dp, 0.3107985102733290_dp, 0.3106422352772850_dp, &
+         & 0.3104147442084870_dp, 0.3100962182537900_dp, 0.3096647040584340_dp, 0.3090965382177870_dp, &
+         & 0.3083668928052390_dp, 0.3074504318270500_dp, 0.3063220621051950_dp, 0.3049577553379660_dp, &
+         & 0.3033354114766950_dp, 0.3014357277332920_dp, 0.2992430332099330_dp, 0.2967460470219690_dp, &
+         & 0.2939385184517960_dp, 0.2908197114699790_dp, 0.2873947029251410_dp, 0.2836744734884460_dp, &
+         & 0.2796757823330440_dp, 0.2754208295189930_dp, 0.2709367229461750_dp, 0.2662547783119750_dp, &
+         & 0.2614096896934650_dp, 0.2564386143781410_dp, 0.2513802179905160_dp, 0.2462737248243340_dp, &
+         & 0.2411580139919640_dp, 0.2360707952477270_dp, 0.2310478900059680_dp, 0.2261226340812210_dp, &
+         & 0.2213254098777920_dp, 0.2166833078439370_dp, 0.2122199104644410_dp, 0.2079551871594990_dp, &
+         & 0.2039054852470340_dp, 0.2000836005043850_dp, 0.1964989106168390_dp, 0.1931575556445750_dp, &
+         & 0.1900626512730810_dp, 0.1872145227480930_dp, 0.1846109497757030_dp, 0.1822474150791040_dp, &
+         & 0.1801173515765560_dp, 0.1782123851577780_dp, 0.1765225717036860_dp, 0.1750366282669660_dp, &
+         & 0.1737421591854800_dp, 0.1726258783367170_dp, 0.1716738287793760_dp, 0.1708716007070170_dp, &
+         & 0.1702045480129330_dp, 0.1696580029088750_dp, 0.1692174870385800_dp, 0.1688689164769530_dp, &
+         & 0.1685987970147660_dp, 0.1683944052941800_dp, 0.1682439507807630_dp, 0.1681367133068790_dp, &
+         & 0.1680631510477610_dp, 0.1680149743165340_dp, 0.1679851814667050_dp, 0.1679680544203280_dp, &
+         & 0.1679591128150120_dp, 0.1679550273802160_dp, 0.1679534948020630_dp, 0.1679530779045280_dp, &
+         & 0.1679530163713570_dp, 0.1679530115289650_dp, 0.1679529233259700_dp, 0.1679523257383120_dp, &
+         & 0.1679501289520570_dp, 0.1679442731975340_dp, 0.1679314583822990_dp, 0.1679069178587720_dp, &
+         & 0.1678642460027650_dp, 0.1677952885373340_dp, 0.1676901036393020_dp, 0.1675370007143900_dp, &
+         & 0.1673226621871610_dp, 0.1670323515852200_dp, 0.1666502084843270_dp, 0.1661596274531830_dp, &
+         & 0.1655437140154990_dp, 0.1647858059630350_dp, 0.1638700433684620_dp, 0.1627819657591660_dp, &
+         & 0.1615091106158390_dp, 0.1600415842166430_dp, 0.1583725743963240_dp, 0.1564987754771610_dp, &
+         & 0.1544206987026090_dp, 0.1521428469640970_dp, 0.1496737401495380_dp, 0.1470257864695270_dp, &
+         & 0.1442150048178800_dp, 0.1412606126573760_dp, 0.1381845021587370_dp, 0.1350106335756610_dp, &
+         & 0.1317643785713760_dp, 0.1284718472067820_dp, 0.1251592306634990_dp, 0.1218521879000180_dp, &
+         & 0.1185752989243130_dp, 0.1153516009019880_dp, 0.1122022166016310_dp, 0.1091460783129460_dp, &
+         & 0.1061997448203580_dp, 0.1033773045798230_dp, 0.1006903550556190_dp, 0.0981480462269673_dp, &
+         & 0.0957571754533149_dp, 0.0935223210138645_dp, 0.0914460024988131_dp, 0.0895288576112705_dp, &
+         & 0.0877698266395726_dp, 0.0861663377057340_dp, 0.0847144877412802_dp, 0.0834092158751645_dp, &
+         & 0.0822444674560359_dp, 0.0812133482143906_dp, 0.0803082690673307_dp, 0.0795210827582338_dp, &
+         & 0.0788432139097637_dp, 0.0782657841589014_dp, 0.0777797338652135_dp, 0.0773759414750117_dp, &
+         & 0.0770453410334397_dp, 0.0767790376241066_dp, 0.0765684197497052_dp, 0.0764052669193092_dp, &
+         & 0.0762818500535758_dp, 0.0761910218222397_dp, 0.0761262937475919_dp, 0.0760818968793586_dp, &
+         & 0.0760528230861013_dp, 0.0760348445085981_dp, 0.0760245094472936_dp, 0.0760191138562334_dp, &
+         & 0.0760166486214615_dp, 0.0760157238357380_dp, 0.0760154722724451_dp, 0.0760154351422671_dp, &
+         & 0.0760154321944100_dp, 0.0760153781713342_dp, 0.0760150121575833_dp, 0.0760136666605575_dp, &
+         & 0.0760100801227708_dp, 0.0760022313935877_dp, 0.0759872013684202_dp, 0.0759610678779694_dp, &
+         & 0.0759188395439452_dp, 0.0758544338634835_dp, 0.0757607041599613_dp, 0.0756295191410601_dp, &
+         & 0.0754518975251273_dp, 0.0752181984383924_dp, 0.0749183659930992_dp, 0.0745422236376783_dp, &
+         & 0.0740798106163538_dp, 0.0735217493803759_dp, 0.0728596293424033_dp, 0.0720863893323838_dp, &
+         & 0.0711966789052383_dp, 0.0701871776717695_dp, 0.0690568523950219_dp, 0.0678071338955846_dp, &
+         & 0.0664419998244767_dp, 0.0649679548564706_dp, 0.0633939063782805_dp, 0.0617309406887045_dp, &
+         & 0.0599920113947263_dp, 0.0581915574056211_dp, 0.0563450721329133_dp, 0.0544686478299212_dp, &
+         & 0.0525785193142667_dp, 0.0506906297156888_dp, 0.0488202376825484_dp, 0.0469815811127461_dp, &
+         & 0.0451876074651523_dp, 0.0434497755711902_dp, 0.0417779290645797_dp, 0.0401802374255169_dp, &
+         & 0.0386631974272547_dp, 0.0372316855748664_dp, 0.0358890509252490_dp, 0.0346372373834498_dp, &
+         & 0.0334769250343925_dp, 0.0324076811158847_dp, 0.0314281126721028_dp, 0.0305360145679998_dp, &
+         & 0.0297285082381080_dp, 0.0290021681588257_dp, 0.0283531344768164_dp, 0.0277772114555290_dp, &
+         & 0.0272699523886644_dp, 0.0268267323584723_dp, 0.0264428106921883_dp, 0.0261133852095696_dp, &
+         & 0.0258336403796591_dp, 0.0255987913471216_dp, 0.0254041254759017_dp, 0.0252450426300896_dp, &
+         & 0.0251170949036066_dp, 0.0250160259665790_dp, 0.0249378096550430_dp, 0.0248786869402409_dp, &
+         & 0.0248352000112106_dp, 0.0248042219264448_dp, 0.0247829801624562_dp, 0.0247690724203835_dp, &
+         & 0.0247604732437452_dp, 0.0247555303364919_dp, 0.0247529499154666_dp, 0.0247517709504592_dp, &
+         & 0.0247513286882253_dp, 0.0247512083829236_dp, 0.0247511906261622_dp, 0.0247511892034993_dp, &
+         & 0.0247511629690251_dp, 0.0247509852271577_dp, 0.0247503318363158_dp, 0.0247485901906828_dp, &
+         & 0.0247447789179631_dp, 0.0247374809330836_dp, 0.0247247929875982_dp, 0.0247042947839873_dp, &
+         & 0.0246730406143598_dp, 0.0246275762758899_dp, 0.0245639836280134_dp, 0.0244779545081855_dp, &
+         & 0.0243648947366353_dp, 0.0242200575702611_dp, 0.0240387042107386_dp, 0.0238162868918579_dp, &
+         & 0.0235486478017179_dp, 0.0232322248415500_dp, 0.0228642532547809_dp, 0.0224429507729553_dp, &
+         & 0.0219676734139398_dp, 0.0214390296611100_dp, 0.0208589425681680_dp, 0.0202306523426046_dp, &
+         & 0.0195586559617027_dp, 0.0188485850152205_dp, 0.0181070277655948_dp, 0.0173413058171263_dp, &
+         & 0.0165592192788750_dp, 0.0157687765457979_dp, 0.0149779255725520_dp, 0.0141943025751061_dp, &
+         & 0.0134250116630170_dp, 0.0126764456787640_dp, 0.0119541547520896_dp, 0.0112627645816730_dp, &
+         & 0.0106059425559266_dp, 0.0099864077023568_dp, 0.0094059777632509_dp, 0.0088656435459029_dp, &
+         & 0.0083656623073267_dp, 0.0079056643278221_dp, 0.0074847625321013_dp, 0.0071016558067072_dp, &
+         & 0.0067547275640720_dp, 0.0064421393746272_dp, 0.0061619081861579_dp, 0.0059119643402283_dp, &
+         & 0.0056902019677665_dp, 0.0054945245717590_dp, 0.0053228771724463_dp, 0.0051732635748181_dp, &
+         & 0.0050437557931389_dp, 0.0049325009251646_dp, 0.0048377268717559_dp, 0.0047577463649588_dp, &
+         & 0.0046909581619161_dp, 0.0046358457378943_dp, 0.0045909757242129_dp, 0.0045549980938944_dp, &
+         & 0.0045266483593025_dp, 0.0045047509994021_dp, 0.0044882234213475_dp, 0.0044760801095833_dp, &
+         & 0.0044674366427415_dp, 0.0044615130882733_dp, 0.0044576361773352_dp, 0.0044552396521453_dp, &
+         & 0.0044538623000108_dp, 0.0044531433175194_dp, 0.0044528148355596_dp, 0.0044526916151426_dp, &
+         & 0.0044526580967243_dp, 0.0044526531495279_dp, 0.0044526527495918_dp, 0.0044526453248039_dp, &
+         & 0.0044525950223289_dp, 0.0044524101080583_dp, 0.0044519172241024_dp, 0.0044508387070437_dp, &
+         & 0.0044487737823999_dp, 0.0044451846269169_dp, 0.0044393883333527_dp, 0.0044305558453743_dp, &
+         & 0.0044177189106733_dp, 0.0043997860068856_dp, 0.0043755679816684_dp, 0.0043438137539056_dp, &
+         & 0.0043032558777867_dp, 0.0042526650400987_dp, 0.0041909117784797_dp, 0.0041170328829878_dp, &
+         & 0.0040302989031176_dp, 0.0039302770295393_dp, 0.0038168803654912_dp, 0.0036903957822716_dp, &
+         & 0.0035514969194423_dp, 0.0034012628291293_dp, 0.0032412002195912_dp, 0.0030731825148393_dp, &
+         & 0.0028992063235051_dp, 0.0027213109850948_dp, 0.0025418030894713_dp, 0.0023633391628835_dp, &
+         & 0.0021877786417548_dp, 0.0020166342835211_dp, 0.0018512141479903_dp, 0.0016954717324325_dp, &
+         & 0.0015474313460260_dp, 0.0014095234022307_dp, 0.0012823425061583_dp, 0.0011648518778458_dp, &
+         & 0.0010567210394754_dp, 0.0009575587889401_dp, 0.0008669696462817_dp, 0.0007845563855824_dp, &
+         & 0.0007099007260507_dp, 0.0006424846819613_dp, 0.0005815043456749_dp, 0.0005263597350194_dp, &
+         & 0.0004761008379290_dp, 0.0004299278323572_dp, 0.0003872810589485_dp, 0.0003477295555143_dp, &
+         & 0.0003109537273502_dp, 0.0002767257470566_dp, 0.0002454436249195_dp, 0.0002164220284868_dp, &
+         & 0.0001894307889785_dp, 0.0001644590776948_dp, 0.0001414994057853_dp, 0.0001205376027258_dp, &
+         & 1.0155036255810000e-04_dp, 8.4504582048339203e-05_dp, 6.9350402753798294e-05_dp, 5.6021231102931799e-05_dp, &
+         & 4.4440501540066200e-05_dp, 3.4522669963621397e-05_dp, 2.6170668760983100e-05_dp, 1.9274417169867798e-05_dp, &
+         & 1.3711119819959100e-05_dp, 9.3468389366080407e-06_dp, 6.0388249636389404e-06_dp, 3.6382660084655101e-06_dp, &
+         &  1.9932746937456601e-06_dp, 9.5205658112718105e-07_dp, 3.6631332989145401e-07_dp, -1.4210854715202001e-14_dp, &
+         & -2.8421709430404001e-14_dp &
+         &]
+      case (82)
+         out = [&
+         & 82.0000000000000000_dp, 81.9999999055959989_dp, 81.9999969864383047_dp, 81.9999772086810026_dp, &
+         & 81.9999045030459968_dp, 81.9997106926209938_dp, 81.9992865234763997_dp, 81.9984741130691930_dp, &
+         & 81.9970610875319039_dp, 81.9947766263489939_dp, 81.9912895735782001_dp, 81.9862087112608009_dp, &
+         & 81.9790852259579026_dp, 81.9694173367393972_dp, 81.9566569956351003_dp, 81.9402185222909054_dp, &
+         & 81.9194889951103988_dp, 81.8938401917672962_dp, 81.8626418510499008_dp, 81.8252760119995060_dp, &
+         & 81.7811521701257931_dp, 81.7297229683913997_dp, 81.6705001077068999_dp, 81.6030701153623994_dp, &
+         & 81.5271095516776967_dp, 81.4423991716464002_dp, 81.3488365007665948_dp, 81.2464462472570972_dp, &
+         & 81.1353879718027997_dp, 81.0159604834783948_dp, 80.8886025330947973_dp, 80.7538895308964015_dp, &
+         & 80.6125262130833988_dp, 80.4653354018770983_dp, 80.3132432228893975_dp, 80.1572613369528995_dp, &
+         & 79.9984668907583938_dp, 79.8379809783258025_dp, 79.6769464292513021_dp, 79.5165057044566055_dp, &
+         & 79.3577795975087952_dp, 79.2018473253136932_dp, 79.0497284629424968_dp, 78.9023670485427999_dp, &
+         & 78.7606180670881031_dp, 78.6252364230126943_dp, 78.4968684341416036_dp, 78.3760458218339977_dp, &
+         & 78.2631821316973060_dp, 78.1585714912300062_dp, 78.0623895908535985_dp, 77.9746967590573945_dp, &
+         & 77.8954429878234009_dp, 77.8244747491598048_dp, 77.7615434264579051_dp, 77.7063151653377986_dp, &
+         & 77.6583819280822070_dp, 77.6172735145970023_dp, 77.5824702922498943_dp, 77.5534163583412948_dp, &
+         & 77.5295328438080986_dp, 77.5102310565691965_dp, 77.4949251590817028_dp, 77.4830440784444932_dp, &
+         & 77.4740423597107934_dp, 77.4674096945683033_dp, 77.4626788883435040_dp, 77.4594320680345021_dp, &
+         & 77.4573049818811938_dp, 77.4559892954329001_dp, 77.4552328483342052_dp, 77.4548378979390009_dp, &
+         & 77.4546574379965023_dp, 77.4545897406198947_dp, 77.4545713252333030_dp, 77.4545686071587056_dp, &
+         & 77.4545682506045949_dp, 77.4545599433228062_dp, 77.4545036602512056_dp, 77.4542967574940064_dp, &
+         & 77.4537452289243049_dp, 77.4525382130898947_dp, 77.4502265986946981_dp, 77.4462065733696932_dp, &
+         & 77.4397088524563060_dp, 77.4297941997863006_dp, 77.4153557092888036_dp, 77.3951281521289047_dp, &
+         & 77.3677045062276960_dp, 77.3315595713832948_dp, 77.2850803333979002_dp, 77.2266024767145041_dp, &
+         & 77.1544521625753958_dp, 77.0669918984808930_dp, 76.9626690399451974_dp, 76.8400652088387943_dp, &
+         & 76.6979447123729017_dp, 76.5352999369572018_dp, 76.3513917069648045_dp, 76.1457827683129977_dp, &
+         & 75.9183628912289947_dp, 75.6693645669161015_dp, 75.3993688448836963_dp, 75.1093014360208997_dp, &
+         & 74.8004196924542981_dp, 74.4742913866341070_dp, 74.1327663159064940_dp, 73.7779416932185939_dp, &
+         & 73.4121221566636990_dp, 73.0377751816677971_dp, 72.6574828238648962_dp, 72.2738910784902941_dp, &
+         & 71.8896586044013048_dp, 71.5074069173227969_dp, 71.1296741923209055_dp, 70.7588744300875021_dp, &
+         & 70.3972630203992935_dp, 70.0469089131184006_dp, 69.7096729429043052_dp, 69.3871915083134070_dp, &
+         & 69.0808647852286981_dp, 68.7918488477805994_dp, 68.5210513313128047_dp, 68.2691304896414977_dp, &
+         & 68.0364976218918969_dp, 67.8233228732832032_dp, 67.6295443772556979_dp, 67.4548806361402029_dp, &
+         & 67.2988459594001966_dp, 67.1607687063946059_dp, 67.0398120193477070_dp, 66.9349966807979939_dp, &
+         & 66.8452256851099946_dp, 66.7693100726869062_dp, 66.7059955368657995_dp, 66.6539892774889040_dp, &
+         & 66.6119865439514030_dp, 66.5786962874922068_dp, 66.5528653316145977_dp, 66.5333004748282946_dp, &
+         & 66.5188879647947005_dp, 66.5086098297804966_dp, 66.5015566229284047_dp, 66.4969362264206012_dp, &
+         & 66.4940784735910029_dp, 66.4924354732941936_dp, 66.4915776569642958_dp, 66.4911857085503044_dp, &
+         & 66.4910386743518984_dp, 66.4909986774078021_dp, 66.4909927739397943_dp, 66.4909922527759960_dp, &
+         & 66.4909820408267933_dp, 66.4909128533544020_dp, 66.4906585126754948_dp, 66.4899805321808941_dp, &
+         & 66.4884967802000943_dp, 66.4856551860300016_dp, 66.4807135309336985_dp, 66.4727262366032932_dp, &
+         & 66.4605389126362951_dp, 66.4427912502520996_dp, 66.4179286477285018_dp, 66.3842227196441002_dp, &
+         & 66.3398005740764063_dp, 66.2826824395134935_dp, 66.2108268911486988_dp, 66.1221825752003980_dp, &
+         & 66.0147449772984061_dp, 65.8866164502363034_dp, 65.7360674350479997_dp, 65.5615966056899993_dp, &
+         & 65.3619875662196961_dp, 65.1363597469497932_dp, 64.8842112885791948_dp, 64.6054519657564015_dp, &
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+         & 4.9526964062351901e-05_dp, 4.4219972977543903e-05_dp, 4.0181610685863200e-05_dp, 3.6916406770615099e-05_dp, &
+         & 3.3987395667622898e-05_dp, 3.1359700642496998e-05_dp, 2.9013845107783699e-05_dp, 2.6967491777440999e-05_dp, &
+         & 2.5666572554428102e-05_dp, 2.4569916448058400e-05_dp, 2.3620344819619300e-05_dp, 2.2816800154146201e-05_dp, &
+         & 2.2149373577917699e-05_dp, 2.1603059010999500e-05_dp, 2.1160748630677500e-05_dp, 2.0805791720590598e-05_dp, &
+         & 2.0523671949490600e-05_dp, 2.0302469025068600e-05_dp, 2.0132400592842701e-05_dp, 2.0005071732498399e-05_dp, &
+         & 1.9912898977736401e-05_dp, 1.9848863104243699e-05_dp, 1.9806526537991000e-05_dp, 1.9780175279038300e-05_dp, &
+         & 1.9764965117019501e-05_dp, 1.9757005929932300e-05_dp, 1.9753365108954299e-05_dp, 1.9751998635797500e-05_dp, &
+         & 1.9751626851416401e-05_dp, 1.9751571983306301e-05_dp, 1.9751567506887100e-05_dp, 1.9751483691266000e-05_dp, &
+         & 1.9750915953409300e-05_dp, 1.9748829245713801e-05_dp, 1.9743269689342900e-05_dp, 1.9731117006927000e-05_dp, &
+         & 1.9707897394027899e-05_dp, 1.9667685322133400e-05_dp, 1.9603128080802900e-05_dp, 1.9505622120163901e-05_dp, &
+         & 1.9365641946933499e-05_dp, 1.9173158335661400e-05_dp, 1.8917980014521200e-05_dp, 1.8589738985497199e-05_dp, &
+         & 1.8177197830482301e-05_dp, 1.7666758964196601e-05_dp, 1.7040891137298799e-05_dp, 1.6283075609635499e-05_dp, &
+         & 1.5506926047237401e-05_dp, 1.4855724984386100e-05_dp, 1.4120685619900501e-05_dp, 1.3251919071422001e-05_dp, &
+         & 1.2215676221671900e-05_dp, 1.0979743350958400e-05_dp, 9.5065209677613893e-06_dp, 8.8335928865035402e-06_dp, &
+         & 8.0236840460656805e-06_dp, 6.9904747022064797e-06_dp, 5.6907902461489399e-06_dp, 5.0486078890799002e-06_dp, &
+         & 4.5644629693697400e-06_dp, 3.7730233088950601e-06_dp, 2.7257645882627900e-06_dp, 2.8200448412008002e-06_dp, &
+         & 2.5355481767519399e-06_dp, 1.6110722924622699e-06_dp, 2.4499744171180299e-06_dp, 3.4736221010689401e-06_dp, &
+         & 4.1540634185821503e-06_dp, 4.1256754315099897e-06_dp, 3.4579829417680200e-06_dp, 2.4251775698758100e-06_dp, &
+         & 1.3821439068806300e-06_dp, 6.7632677769324800e-07_dp, 4.8170775812650401e-07_dp, 5.9857340772850897e-07_dp, &
+         & 7.0465840451561203e-07_dp, 7.3553388801883599e-07_dp, 7.5772838670218303e-07_dp, 7.3561514568609699e-07_dp, &
+         &  5.9880301250814196e-07_dp, 0.0000000000000000e+00_dp, -1.4210854715202001e-14_dp, 5.2346658208080001e-07_dp, &
+         & 6.1791102723418600e-07_dp, 6.2036090753281304e-07_dp, 5.6781972546104995e-07_dp, 4.9089258880030705e-07_dp, &
+         &  4.1063775313432400e-07_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, 0.0000000000000000e+00_dp, &
+         & -1.4210854715202001e-14_dp, 0.0000000000000000e+00_dp, -1.4210854715202001e-14_dp, 0.0000000000000000e+00_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & -1.4210854715202001e-14_dp, 0.0000000000000000e+00_dp, -1.4210854715202001e-14_dp, 0.0000000000000000e+00_dp, &
+         & 0.0000000000000000_dp &
+         &]
+      case (83)
+         out = [&
+         & 83.0000000000000000_dp, 82.9999999039731051_dp, 82.9999969346315964_dp, 82.9999768168711967_dp, &
+         & 82.9999028613393932_dp, 82.9997057190747967_dp, 82.9992742579094056_dp, 82.9984478809855943_dp, &
+         & 82.9970105631038990_dp, 82.9946868270803009_dp, 82.9911398219162066_dp, 82.9859715999618004_dp, &
+         & 82.9787256244664064_dp, 82.9688914752891975_dp, 82.9559116623844943_dp, 82.9391904067762056_dp, &
+         & 82.9181042088778071_dp, 82.8920139944336967_dp, 82.8602786073713986_dp, 82.8222694027491997_dp, &
+         & 82.7773856764785023_dp, 82.7250706456444931_dp, 82.6648276589455975_dp, 82.5962362684934988_dp, &
+         & 82.5189677336250043_dp, 82.4327994612812063_dp, 82.3376278276970055_dp, 82.2334787878698990_dp, &
+         & 82.1205156784396024_dp, 81.9990436692008018_dp, 81.8695104250726047_dp, 81.7325027016530044_dp, &
+         & 81.5887388016029007_dp, 81.4390570459965062_dp, 81.2844006395808947_dp, 81.1257995063816963_dp, &
+         & 80.9643498212011963_dp, 80.8011920498742029_dp, 80.6374883326914045_dp, 80.4744000063810034_dp, &
+         & 80.3130659728499978_dp, 80.1545825041044964_dp, 79.9999849397760983_dp, 79.8502316018913945_dp, &
+         & 79.7061901324161965_dp, 79.5686263595239041_dp, 79.4381957208263003_dp, 79.3154372147877069_dp, &
+         & 79.2007698117041059_dp, 79.0944912283917034_dp, 78.9967789514494001_dp, 78.9076933786269024_dp, &
+         & 78.8271829334176033_dp, 78.7550909925784026_dp, 78.6911644488945967_dp, 78.6350637120575016_dp, &
+         & 78.5863739294803025_dp, 78.5446171872102070_dp, 78.5092654300197950_dp, 78.4797538207077992_dp, &
+         & 78.4554942431183946_dp, 78.4358886429107969_dp, 78.4203418961038068_dp, 78.4082738991534995_dp, &
+         & 78.3991305867578063_dp, 78.3923936053372046_dp, 78.3875884013680064_dp, 78.3842905240633030_dp, &
+         & 78.3821299904216033_dp, 78.3807936159523990_dp, 78.3800252745792960_dp, 78.3796241140928061_dp, &
+         & 78.3794408166609031_dp, 78.3793720548362955_dp, 78.3793533498932931_dp, 78.3793505890808007_dp, &
+         & 78.3793502269203941_dp, 78.3793417890181985_dp, 78.3792846209742038_dp, 78.3790744649678999_dp, &
+         & 78.3785142644545942_dp, 78.3772882704062965_dp, 78.3749403109305973_dp, 78.3708570826705966_dp, &
+         & 78.3642572129307950_dp, 78.3541867149959046_dp, 78.3395213138726945_dp, 78.3189759529998071_dp, &
+         & 78.2911216014334030_dp, 78.2544092634958020_dp, 78.2072008483720964_dp, 78.1478062878372981_dp, &
+         & 78.0745260019025977_dp, 77.9856975149422027_dp, 77.8797447346670992_dp, 77.7552281455890011_dp, &
+         & 77.6108939667319930_dp, 77.4457202150671975_dp, 77.2589576371379962_dp, 77.0501636497283044_dp, &
+         & 76.8192277753527009_dp, 76.5663875486247036_dp, 76.2922344478299976_dp, 75.9977099839443042_dp, &
+         & 75.6840925570060961_dp, 75.3529759868497990_dp, 75.0062407143903016_dp, 74.6460185980192961_dp, &
+         & 74.2746521135599949_dp, 73.8946487518710029_dp, 73.5086316049750934_dp, 73.1192875430554068_dp, &
+         & 72.7293148769310989_dp, 72.3413727422668984_dp, 71.9580344144540049_dp, 71.5817462888171008_dp, &
+         & 71.2147934620012961_dp, 70.8592719931723991_dp, 70.5170672771803027_dp, 70.1898376691164998_dp, &
+         & 69.8790025381252065_dp, 69.5857341638354967_dp, 69.3109531667365957_dp, 69.0553273763877939_dp, &
+         & 68.8192741475372003_dp, 68.6029661442079970_dp, 68.4063405593281999_dp, 68.2291116574706962_dp, &
+         & 68.0707864455547025_dp, 67.9306832034688028_dp, 67.8079525465852981_dp, 67.7016006427862038_dp, &
+         & 67.6105141639211951_dp, 67.5334865122078014_dp, 67.4692448243469016_dp, 67.4164772205137979_dp, &
+         & 67.3738597341768042_dp, 67.3400823354081979_dp, 67.3138734492022053_dp, 67.2940223754410027_dp, &
+         & 67.2793990421276931_dp, 67.2689705707206969_dp, 67.2618142027936017_dp, 67.2571262299598942_dp, &
+         & 67.2542266814828054_dp, 67.2525596520224980_dp, 67.2516892900670058_dp, 67.2512916093989048_dp, &
+         & 67.2511424248254031_dp, 67.2511018429263032_dp, 67.2510958531202050_dp, 67.2510953243343010_dp, &
+         & 67.2510849630354954_dp, 67.2510147636971993_dp, 67.2507567032926943_dp, 67.2500688073768060_dp, &
+         & 67.2485633557481037_dp, 67.2456802041906059_dp, 67.2406662805590969_dp, 67.2325621813676975_dp, &
+         & 67.2201966420358019_dp, 67.2021894772151001_dp, 67.1769633830690935_dp, 67.1427647567031016_dp, &
+         & 67.0976934162006984_dp, 67.0397407979957052_dp, 66.9668358713850012_dp, 66.8768976537334936_dp, &
+         & 66.7678928518180044_dp, 66.6378968184275067_dp, 66.4851557264945967_dp, 66.3081476541760964_dp, &
+         & 66.1056401683576951_dp, 65.8767420082555049_dp, 65.6209466119042020_dp, 65.3381654925871942_dp, &
+         & 65.0287498480468003_dp, 64.6934992572670069_dp, 64.3336568717053012_dp, 63.9508911225559018_dp, &
+         & 63.5472646187490966_dp, 63.1251915639290004_dp, 62.6873856190267986_dp, 62.2368006117711019_dp, &
+         & 61.7765667786348018_dp, 61.3099252732277975_dp, 60.8401634824663020_dp, 60.3705532987024966_dp, &
+         & 59.9042939809171031_dp, 59.4444606961404034_dp, 58.9939593490582013_dp, 58.5554879381207982_dp, &
+         & 58.1315044355292017_dp, 57.7242010564959998_dp, 57.3354847207123015_dp, 56.9669634748587015_dp, &
+         & 56.6199386104374014_dp, 56.2954021652651022_dp, 55.9940394440660967_dp, 55.7162361458803019_dp, &
+         & 55.4620896550744007_dp, 55.2314240442916002_dp, 55.0238083498949990_dp, 54.8385777057899020_dp, &
+         & 54.6748569497968973_dp, 54.5315863383584016_dp, 54.4075490132770980_dp, 54.3013998548698993_dp, &
+         & 54.2116953293356971_dp, 54.1369238971605995_dp, 54.0755364991155005_dp, 54.0259765833715022_dp, &
+         & 53.9867090887897021_dp, 53.9562477629434980_dp, 53.9331801757898006_dp, 53.9161897969000989_dp, &
+         & 53.9040745398699030_dp, 53.8957612439108971_dp, 53.8903156592558972_dp, 53.8869476269583032_dp, &
+         & 53.8850112897549991_dp, 53.8840003318315013_dp, 53.8835384132900970_dp, 53.8833651311291035_dp, &
+         & 53.8833179941261022_dp, 53.8833110368013024_dp, 53.8833104787377977_dp, 53.8833001796352988_dp, &
+         & 53.8832304016951014_dp, 53.8829738905194020_dp, 53.8822901252414965_dp, 53.8807937182978023_dp, &
+         & 53.8779279071180000_dp, 53.8729441971661984_dp, 53.8648890888142020_dp, 53.8525986731633992_dp, &
+         & 53.8347017106324017_dp, 53.8096316058519974_dp, 53.7756474579392005_dp, 53.7308640926310019_dp, &
+         & 53.6732906712066011_dp, 53.6008771245172966_dp, 53.5115672887488003_dp, 53.4033572395846008_dp, &
+         & 53.2743569567160975_dp, 53.1228531300971980_dp, 52.9473706750930972_dp, 52.7467303877505032_dp, &
+         & 52.5201001719683020_dp, 52.2670374276710987_dp, 51.9875205118981967_dp, 51.6819676668452033_dp, &
+         & 51.3512424265337017_dp, 50.9966452239252988_dp, 50.6198916613997980_dp, 50.2230786048522972_dp, &
+         & 49.8086398388533027_dp, 49.3792934165379975_dp, 48.9379830256566990_dp, 48.4878156871030015_dp, &
+         & 48.0319979573446005_dp, 47.5737725910217009_dp, 47.1163573929336010_dp, 46.6628877768959995_dp, &
+         & 46.2163643457683975_dp, 45.7796065858831014_dp, 45.3552135056359020_dp, 44.9455317365079026_dp, &
+         & 44.5526312737070995_dp, 44.1782886985696024_dp, 43.8239774356134006_dp, 43.4908643848392984_dp, &
+         & 43.1798121493892992_dp, 42.8913860473362973_dp, 42.6258651377318003_dp, 42.3832565810836996_dp, &
+         & 42.1633127678139985_dp, 41.9655507628625983_dp, 41.7892737140634978_dp, 41.6335939460778022_dp, &
+         & 41.4974575059750990_dp, 41.3796699407322990_dp, 41.2789230737362018_dp, 41.1938225115454983_dp, &
+         & 41.1229155596743965_dp, 41.0647191637605999_dp, 41.0177474274428988_dp, 40.9805381980608985_dp, &
+         & 40.9516781632473013_dp, 40.9298258724062975_dp, 40.9137320927063968_dp, 40.9022569337432031_dp, &
+         & 40.8943832305824984_dp, 40.8892257612577978_dp, 40.8860359892589997_dp, 40.8842021590588018_dp, &
+         & 40.8832447262903997_dp, 40.8828072654925023_dp, 40.8826431585438002_dp, 40.8825985174462971_dp, &
+         & 40.8825919285128023_dp, 40.8825914203109022_dp, 40.8825822946350002_dp, 40.8825204668390967_dp, &
+         & 40.8822931813280022_dp, 40.8816873216560026_dp, 40.8803614128509025_dp, 40.8778221398940005_dp, &
+         & 40.8734063261136029_dp, 40.8662692056096972_dp, 40.8553796962721023_dp, 40.8395232306962015_dp, &
+         & 40.8173125261183003_dp, 40.7872064658804021_dp, 40.7475370196235005_dp, 40.6965438460590008_dp, &
+         & 40.6324159040466029_dp, 40.5533390540254004_dp, 40.4575482786463994_dp, 40.3433828115068991_dp, &
+         & 40.2093421646888984_dp, 40.0541408212716021_dp, 39.8767592401771012_dp, 39.6764888355327017_dp, &
+         & 39.4529687603532011_dp, 39.2062126506006976_dp, 38.9366239595499977_dp, 38.6449991040912977_dp, &
+         & 38.3325183064668025_dp, 38.0007246854992999_dp, 37.6514927631220004_dp, 37.2869880421188995_dp, &
+         & 36.9096196331684965_dp, 36.5219880441523017_dp, 36.1268302048794965_dp, 35.7269636279001972_dp, &
+         & 35.3252313610789983_dp, 34.9244491309245007_dp, 34.5273558507088012_dp, 34.1365684880039026_dp, &
+         & 33.7545421361204987_dp, 33.3835359784836996_dp, 33.0255856410250033_dp, 32.6824821817611024_dp, &
+         & 32.3557576837475978_dp, 32.0466771354166013_dp, 31.7562360462662987_dp, 31.4851630909972009_dp, &
+         & 31.2339270149307993_dp, 31.0027470584946983_dp, 30.7916062436367994_dp, 30.6002669798647986_dp, &
+         & 30.4282885653184003_dp, 30.2750462600869987_dp, 30.1397516847837004_dp, 30.0214743439496985_dp, &
+         & 29.9191640922623989_dp, 29.8316743550983006_dp, 29.7577858881446993_dp, 29.6962308184113013_dp, &
+         & 29.6457166566047015_dp, 29.6049499143993984_dp, 29.5726589060921015_dp, 29.5476152691130984_dp, &
+         & 29.5286537082807001_dp, 29.5146894601062009_dp, 29.5047329901100994_dp, 29.4979014803162016_dp, &
+         & 29.4934267359849009_dp, 29.4906592380014985_dp, 29.4890681857477013_dp, 29.4882375085215998_dp, &
+         & 29.4878579641943013_dp, 29.4877155838452012_dp, 29.4876768529220996_dp, 29.4876711363184008_dp, &
+         & 29.4876707034744996_dp, 29.4876630356866016_dp, 29.4876110852973987_dp, 29.4874201102015014_dp, &
+         & 29.4869110409443991_dp, 29.4857969565047000_dp, 29.4836633560372015_dp, 29.4799530210514007_dp, &
+         & 29.4739561712535014_dp, 29.4648065110872999_dp, 29.4514836395875008_dp, 29.4328221490091018_dp, &
+         & 29.4075275630987996_dp, 29.3741990602178014_dp, 29.3313586887051017_dp, 29.2774865147028009_dp, &
+         & 29.2110608540534002_dp, 29.1306024434210009_dp, 29.0347211207698983_dp, 28.9221633357004002_dp, &
+         & 28.7918586225265010_dp, 28.6429630696989008_dp, 28.4748978304476985_dp, 28.2873808552905999_dp, &
+         & 28.0804502891259986_dp, 27.8544783509890017_dp, 27.6101749749564007_dp, 27.3485809954981001_dp, &
+         & 27.0710511630488995_dp, 26.7792277318018996_dp, 26.4750057396920013_dp, 26.1604913861806985_dp, &
+         & 25.8379551106411007_dp, 25.5097810981701016_dp, 25.1784150066858992_dp, 24.8463117264989997_dp, &
+         & 24.5158849455259009_dp, 24.1894601847813000_dp, 23.8692327744136996_dp, 23.5572319553108009_dp, &
+         & 23.2552919274266010_dp, 22.9650302534090009_dp, 22.6878336067732995_dp, 22.4248504723262982_dp, &
+         & 22.1769901004409000_dp, 21.9449268099775985_dp, 21.7291086345655984_dp, 21.5297693057530992_dp, &
+         & 21.3469426452064006_dp, 21.1804785716345982_dp, 21.0300600903436994_dp, 20.8952208008565989_dp, &
+         & 20.7753626123762984_dp, 20.6697734852659991_dp, 20.5776451119361994_dp, 20.4980905100058983_dp, &
+         & 20.4301615254290994_dp, 20.3728662371578011_dp, 20.3251862233769991_dp, 20.2860935991128990_dp, &
+         & 20.2545676735187001_dp, 20.2296110101564004_dp, 20.2102646128310006_dp, 20.1956219102189003_dp, &
+         & 20.1848411809483004_dp, 20.1771560517472004_dp, 20.1718837177511006_dp, 20.1684305767961014_dp, &
+         & 20.1662950369888989_dp, 20.1650673452951992_dp, 20.1644263887687991_dp, 20.1641335325339988_dp, &
+         & 20.1640236723889004_dp, 20.1639937877977005_dp, 20.1639893768957990_dp, 20.1639890457680018_dp, &
+         & 20.1639832175440006_dp, 20.1639437304882989_dp, 20.1637985721895987_dp, 20.1634116357264013_dp, &
+         & 20.1625648462399987_dp, 20.1609431871384999_dp, 20.1581232462743998_dp, 20.1535658425274988_dp, &
+         & 20.1466132226230989_dp, 20.1364912323846994_dp, 20.1223167602663011_dp, 20.1031106179530994_dp, &
+         & 20.0778158581047990_dp, 20.0453213304677007_dp, 20.0044900460149009_dp, 19.9541916609330983_dp, &
+         & 19.8933381203179991_dp, 19.8209212332705000_dp, 19.7360507094897990_dp, 19.6379909985042005_dp, &
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+         & 0.2816340039396010_dp, 0.2741531822524050_dp, 0.2669111022261890_dp, 0.2599458159862420_dp, &
+         & 0.2532896717354300_dp, 0.2469692268721810_dp, 0.2410053039456840_dp, 0.2354131659808160_dp, &
+         & 0.2302027865875260_dp, 0.2253791907254200_dp, 0.2209428437652860_dp, 0.2168900692660290_dp, &
+         & 0.2132134793175170_dp, 0.2099024050493340_dp, 0.2069433186463670_dp, 0.2043202416737840_dp, &
+         & 0.2020151374726140_dp, 0.2000082876908210_dp, 0.1982786545685970_dp, 0.1968042313730930_dp, &
+         & 0.1955623834042090_dp, 0.1945301813507000_dp, 0.1936847275892010_dp, 0.1930034744504920_dp, &
+         & 0.1924645317149470_dp, 0.1920469588418140_dp, 0.1917310358846010_dp, 0.1914985058762970_dp, &
+         & 0.1913327808288020_dp, 0.1912191034780050_dp, 0.1911446575592920_dp, 0.1910986206902410_dp, &
+         & 0.1910721557887030_dp, 0.1910583392259890_dp, 0.1910520264387540_dp, 0.1910496583128490_dp, &
+         & 0.1910490141269180_dp, 0.1910489190464940_dp, 0.1910489116272200_dp, 0.1910487772887710_dp, &
+         & 0.1910478671271960_dp, 0.1910445212932930_dp, 0.1910356026537130_dp, 0.1910160850644330_dp, &
+         & 0.1909787089805090_dp, 0.1909137192757130_dp, 0.1908086990927130_dp, 0.1906485122673870_dp, &
+         & 0.1904153652017300_dp, 0.1900889967846810_dp, 0.1896470018565570_dp, 0.1890652895848890_dp, &
+         & 0.1883186728605610_dp, 0.1873815784536820_dp, 0.1862288603802970_dp, 0.1848366911168430_dp, &
+         & 0.1831834975377120_dp, 0.1812509014923480_dp, 0.1790246196138410_dp, 0.1764952740973060_dp, &
+         & 0.1736590665074690_dp, 0.1705182706344460_dp, 0.1670815081231180_dp, 0.1633637817557200_dp, &
+         & 0.1593862551437160_dp, 0.1551757830946630_dp, 0.1507642127208580_dp, 0.1461874900072220_dp, &
+         & 0.1414846186962250_dp, 0.1366965268588980_dp, 0.1318649006692850_dp, 0.1270310444136270_dp, &
+         & 0.1222348208638810_dp, 0.1175137174898570_dp, 0.1129020725889380_dp, 0.1084304824994290_dp, &
+         & 0.1041253979064150_dp, 0.1000089050214830_dp, 0.0960986770633099_dp, 0.0924080736188557_dp, &
+         & 0.0889463604151643_dp, 0.0857190197517497_dp, 0.0827281220384464_dp, 0.0799727310822931_dp, &
+         & 0.0774493194033568_dp, 0.0751521743586778_dp, 0.0730737806942585_dp, 0.0712051698925649_dp, &
+         & 0.0695362310230792_dp, 0.0680559815196489_dp, 0.0667527992929422_dp, 0.0656146197980405_dp, &
+         & 0.0646291031378468_dp, 0.0637837770457708_dp, 0.0630661617338717_dp, 0.0624638822055914_dp, &
+         & 0.0619647728107964_dp, 0.0615569776697953_dp, 0.0612290492203869_dp, 0.0609700456629696_dp, &
+         & 0.0607696266093285_dp, 0.0606181449013548_dp, 0.0605067314603218_dp, 0.0604273692544979_dp, &
+         & 0.0603729520922087_dp, 0.0603373239981977_dp, 0.0603152954014092_dp, 0.0603026332117480_dp, &
+         & 0.0602960230069272_dp, 0.0602930028866098_dp, 0.0602918699573394_dp, 0.0602915617752160_dp, &
+         & 0.0602915162882596_dp, 0.0602915127086305_dp, 0.0602914475066285_dp, 0.0602910057547490_dp, &
+         & 0.0602893818457488_dp, 0.0602850532359582_dp, 0.0602755808663602_dp, 0.0602574427780525_dp, &
+         & 0.0602259087281425_dp, 0.0601749634349886_dp, 0.0600972858136259_dp, 0.0599842910488064_dp, &
+         & 0.0598262414003159_dp, 0.0596124300341927_dp, 0.0593314397421381_dp, 0.0589714750305461_dp, &
+         & 0.0585207617277632_dp, 0.0579680031165708_dp, 0.0573028759706773_dp, 0.0565165442595799_dp, &
+         & 0.0556021633304198_dp, 0.0545553438160340_dp, 0.0533745430704187_dp, 0.0520613531925846_dp, &
+         & 0.0506206589998897_dp, 0.0490606466331798_dp, 0.0473926533813369_dp, 0.0456308609549012_dp, &
+         & 0.0437918466400049_dp, 0.0418940181696428_dp, 0.0399569674240894_dp, 0.0380007841056909_dp, &
+         & 0.0360453726295447_dp, 0.0341098134557001_dp, 0.0322118043341959_dp, 0.0303672082858100_dp, &
+         & 0.0285897247686790_dp, 0.0268906896694574_dp, 0.0252789997200438_dp, 0.0237611486378171_dp, &
+         & 0.0223413563291075_dp, 0.0210217691098222_dp, 0.0198027079607783_dp, 0.0186829429612487_dp, &
+         & 0.0176599746942827_dp, 0.0167303069990368_dp, 0.0158896994132647_dp, 0.0151333915510037_dp, &
+         & 0.0144562951766716_dp, 0.0138531526725671_dp, 0.0133186628731607_dp, 0.0128475768665908_dp, &
+         & 0.0124347674058782_dp, 0.0120752761266942_dp, 0.0117643429427545_dp, 0.0114974218791559_dp, &
+         & 0.0112701872948691_dp, 0.0110785340025927_dp, 0.0109185742644371_dp, 0.0107866340617164_dp, &
+         & 0.0106792504284385_dp, 0.0105931710232170_dp, 0.0105253565110388_dp, 0.0104729857561523_dp, &
+         & 0.0104334633150529_dp, 0.0104044282894336_dp, 0.0103837632783126_dp, 0.0103696019780557_dp, &
+         & 0.0103603339303504_dp, 0.0103546050126084_dp, 0.0103513124927446_dp, 0.0103495938020046_dp, &
+         & 0.0103488085867838_dp, 0.0103485140365933_dp, 0.0103484339128528_dp, 0.0103484220867784_dp, &
+         & 0.0103484211478815_dp, 0.0103484039414070_dp, 0.0103482873655878_dp, 0.0103478588292631_dp, &
+         & 0.0103467165755688_dp, 0.0103442171206041_dp, 0.0103394316651020_dp, 0.0103311137841331_dp, &
+         & 0.0103176807894840_dp, 0.0102972112317872_dp, 0.0102674609878051_dp, 0.0102259001682654_dp, &
+         & 0.0101697725847174_dp, 0.0100961786342992_dp, 0.0100021811430508_dp, 0.0098849319478376_dp, &
+         & 0.0097418148691162_dp, 0.0095705984031298_dp, 0.0093695892054484_dp, 0.0091377755883997_dp, &
+         & 0.0088749491832090_dp, 0.0085817929665097_dp, 0.0082599252576046_dp, 0.0079118921165531_dp, &
+         & 0.0075411046510254_dp, 0.0071517226686240_dp, 0.0067484912916882_dp, 0.0063365418839254_dp, &
+         & 0.0059211722282413_dp, 0.0055076228152018_dp, 0.0051008660666412_dp, 0.0047054233697139_dp, &
+         & 0.0043252212747547_dp, 0.0039634936882464_dp, 0.0036227320496352_dp, 0.0033046809850248_dp, &
+         & 0.0030103733190572_dp, 0.0027401959234794_dp, 0.0024939767662033_dp, 0.0022710836014710_dp, &
+         & 0.0020705257657596_dp, 0.0018910521498583_dp, 0.0017312402740970_dp, 0.0015895732867364_dp, &
+         & 0.0014645034132741_dp, 0.0013545016880840_dp, 0.0012580947427949_dp, 0.0011738901374656_dp, &
+         & 0.0011005920897560_dp, 0.0010370094270087_dp, 0.0009820574526032_dp, 0.0009347553566954_dp, &
+         & 0.0008942206360416_dp, 0.0008596616598453_dp, 0.0008303692237916_dp, 0.0008057077728836_dp, &
+         & 0.0007851068487810_dp, 0.0007680531625311_dp, 0.0007540835450328_dp, 0.0007427789197294_dp, &
+         & 0.0007337593620491_dp, 0.0007266802421952_dp, 0.0007212293835295_dp, 0.0007171251136242_dp, &
+         & 0.0007141150372263_dp, 0.0007119753254301_dp, 0.0007105102949794_dp, 0.0007095520459615_dp, &
+         & 0.0007089599387058_dp, 0.0007086197197879_dp, 0.0007084421481522_dp, 0.0007083610264118_dp, &
+         & 0.0007083305968081_dp, 0.0007083223194115_dp, 0.0007083210976901_dp, 0.0007083209998058_dp, &
+         & 0.0007083191947999_dp, 0.0007083069657057_dp, 0.0007082620118553_dp, 0.0007081421932895_dp, &
+         & 0.0007078800337581_dp, 0.0007073781986122_dp, 0.0007065062275728_dp, 0.0007050988341177_dp, &
+         & 0.0007029561103593_dp, 0.0006998459924858_dp, 0.0006955093195700_dp, 0.0006896677493415_dp, &
+         & 0.0006820346513052_dp, 0.0006723288773713_dp, 0.0006602910081028_dp, 0.0006457013116687_dp, &
+         & 0.0006283982683186_dp, 0.0006082961720324_dp, 0.0005854000898182_dp, 0.0005598164068772_dp, &
+         & 0.0005317573411787_dp, 0.0005015381947828_dp, 0.0004695667753793_dp, 0.0004363254315365_dp, &
+         & 0.0004023473034351_dp, 0.0003681890021028_dp, 0.0003344015539994_dp, 0.0003015013752190_dp, &
+         & 0.0002699450206052_dp, 0.0002401124229863_dp, 0.0002122975559473_dp, 0.0001867005071006_dp, &
+         & 0.0001634264078660_dp, 0.0001425030751392_dp, 0.0001238967006572_dp, 0.0001075016086531_dp, &
+         & 9.3160803359637598e-05_dp, 8.0735539711440706e-05_dp, 7.0068506786924404e-05_dp, 6.0891367439808198e-05_dp, &
+         & 5.3009097314316002e-05_dp, 4.6455809581402698e-05_dp, 4.1014533977090698e-05_dp, 3.6183496206376697e-05_dp, &
+         & 3.1948572043916101e-05_dp, 2.8922242222506601e-05_dp, 2.6540608743630401e-05_dp, 2.4151623321699800e-05_dp, &
+         & 2.1675150705391398e-05_dp, 1.9683264696368500e-05_dp, 1.8917900646897599e-05_dp, 1.8196826061966900e-05_dp, &
+         & 1.7365446112194099e-05_dp, 1.6482737265732801e-05_dp, 1.5626294469939199e-05_dp, 1.4858541277362699e-05_dp, &
+         & 1.4211087801641000e-05_dp, 1.3684222409438000e-05_dp, 1.3258829426376901e-05_dp, 1.2912335066061999e-05_dp, &
+         & 1.2630055095996800e-05_dp, 1.2408781728368001e-05_dp, 1.2252055540784600e-05_dp, 1.2157808583879200e-05_dp, &
+         & 1.2110755434946400e-05_dp, 1.2090893349636600e-05_dp, 1.2083718260669201e-05_dp, 1.2081575789579800e-05_dp, &
+         & 1.2081120615903301e-05_dp, 1.2081104046046699e-05_dp, 1.2081146351761200e-05_dp, 1.2081170268629599e-05_dp, &
+         & 1.2081177516165601e-05_dp, 1.2081178624612201e-05_dp, 1.2081178155654000e-05_dp, 1.2081162850563501e-05_dp, &
+         & 1.2081059310276000e-05_dp, 1.2080680505732700e-05_dp, 1.2079684381660600e-05_dp, 1.2077571753366099e-05_dp, &
+         & 1.2073768928644299e-05_dp, 1.2067834305185000e-05_dp, 1.2059727694691000e-05_dp, 1.2049847697426200e-05_dp, &
+         & 1.2038386685730999e-05_dp, 1.2023981128095300e-05_dp, 1.2002552381318300e-05_dp, 1.1967271802859600e-05_dp, &
+         & 1.1909269034049400e-05_dp, 1.1817645173550800e-05_dp, 1.1677523900743800e-05_dp, 1.1465824314882399e-05_dp, &
+         & 1.1145651797051000e-05_dp, 1.0660900571224400e-05_dp, 9.9317573472035292e-06_dp, 8.8469474803787307e-06_dp, &
+         & 7.2242528403876299e-06_dp, 7.4339624376307299e-06_dp, 7.5075585783679302e-06_dp, 7.0634979039141399e-06_dp, &
+         & 5.8644831710807904e-06_dp, 4.4465928397130500e-06_dp, 5.3237801864725000e-06_dp, 5.6742063350157002e-06_dp, &
+         & 5.1462246659639302e-06_dp, 3.3635278668953102e-06_dp, 2.3281998693391900e-06_dp, 4.5021109968956799e-06_dp, &
+         & 6.6987894768999501e-06_dp, 1.1555504798366201e-05_dp, 1.6431508100822601e-05_dp, 1.9116253014317401e-05_dp, &
+         & 1.9011143933766999e-05_dp, 1.6309778928302900e-05_dp, 1.1933558440091499e-05_dp, 7.2186226276471601e-06_dp, &
+         & 3.5455761349112402e-06_dp, 2.0329244563299700e-06_dp, 2.2030422428542802e-06_dp, 2.5151811229306999e-06_dp, &
+         & 2.1528756377620101e-06_dp, 2.2933938481628502e-06_dp, 2.8514659504708098e-06_dp, 2.5665519700623901e-06_dp, &
+         & 1.4629663951382099e-06_dp, 1.1301679450070900e-06_dp, 2.0922220187458198e-06_dp, 2.4373713500835901e-06_dp, &
+         & 2.3303475131797301e-06_dp, 1.9936823747457298e-06_dp, 1.6234013884286501e-06_dp, 1.3500605291483200e-06_dp, &
+         & 1.2107479534506600e-06_dp, 1.1604550564925401e-06_dp, 1.1299359385930100e-06_dp, 1.0726008810024700e-06_dp, &
+         & 9.7372749507940192e-07_dp, 8.4041072057061704e-07_dp, 6.8908032346826097e-07_dp, 5.3680005862588597e-07_dp, &
+         &  3.9685983210802099e-07_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, &
+         & -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, 0.0000000000000000e+00_dp, &
+         & -1.4210854715202001e-14_dp &
+         &]
+      case (84)
+         out = [&
+         & 84.0000000000000000_dp, 83.9999999023545030_dp, 83.9999968829620940_dp, 83.9999764260988968_dp, &
+         & 83.9999012239797054_dp, 83.9997007586975997_dp, 83.9992620248173978_dp, 83.9984217183485953_dp, &
+         & 83.9969601724103967_dp, 83.9945972654372071_dp, 83.9909904663563935_dp, 83.9857351154526981_dp, &
+         & 83.9783669727587068_dp, 83.9683670011969951_dp, 83.9551682927025951_dp, 83.9381649950320963_dp, &
+         & 83.9167230567290972_dp, 83.8901925779649957_dp, 83.8579215339320001_dp, 83.8192706212703058_dp, &
+         & 83.7736289611675033_dp, 83.7204303691308951_dp, 83.6591698657398979_dp, 83.5894200523915032_dp, &
+         & 83.5108469129531983_dp, 83.4232245334948033_dp, 83.3264481701898063_dp, 83.2205450559126945_dp, &
+         & 83.1056823354745973_dp, 82.9821715711946979_dp, 82.8504693712257989_dp, 82.7111738601071949_dp, &
+         & 82.5650169218318979_dp, 82.4128523793355043_dp, 82.2556405049234058_dp, 82.0944294577123941_dp, &
+         & 81.9303343951019940_dp, 81.7645150921182022_dp, 81.5981529215001018_dp, 81.4324280044315003_dp, &
+         & 81.2684972500037048_dp, 81.1074738781229030_dp, 80.9504088836372944_dp, 80.7982747647056954_dp, &
+         & 80.6519517174902063_dp, 80.5122163988664994_dp, 80.3797332811472955_dp, 80.2550485663281989_dp, &
+         & 80.1385865883070068_dp, 80.0306486050756973_dp, 79.9314138642399001_dp, 79.8409428102850001_dp, &
+         & 79.7591822877393071_dp, 79.6859725788684017_dp, 79.6210560968735024_dp, 79.5640875357000965_dp, &
+         & 79.5146452560419021_dp, 79.4722436649441022_dp, 79.4363463248404997_dp, 79.4063795083635995_dp, &
+         & 79.3817458993632954_dp, 79.3618381298173006_dp, 79.3460518381420030_dp, 79.3337979381076934_dp, &
+         & 79.3245138001057057_dp, 79.3176730685371041_dp, 79.3127938707289957_dp, 79.3094452136868000_dp, &
+         & 79.3072514142194933_dp, 79.3058944641040995_dp, 79.3051142930687973_dp, 79.3047069562269940_dp, &
+         & 79.3045208367203998_dp, 79.3044510162306011_dp, 79.3044320233043010_dp, 79.3044292199859058_dp, &
+         & 79.3044288522496998_dp, 79.3044202844367021_dp, 79.3043622362279024_dp, 79.3041488446462068_dp, &
+         & 79.3035800193020037_dp, 79.3023351501499008_dp, 79.2999510430806964_dp, 79.2958049553774060_dp, &
+         & 79.2891034921466940_dp, 79.2788779966377035_dp, 79.2639869200591960_dp, 79.2431254872613948_dp, &
+         & 79.2148427804647071_dp, 79.1775661417952961_dp, 79.1296325462240020_dp, 79.0693263218058036_dp, &
+         & 78.9949222998374978_dp, 78.9047331743693974_dp, 78.7971595549412029_dp, 78.6707409317674973_dp, &
+         & 78.5242055691560950_dp, 78.3565172363191067_dp, 78.1669167109823064_dp, 77.9549561780554967_dp, &
+         & 77.7205250007709054_dp, 77.4638658413979044_dp, 77.1855806923354066_dp, 76.8866269549044006_dp, &
+         & 76.5683041716564929_dp, 76.2322323004405007_dp, 75.8803224938024954_dp, 75.5147412719662015_dp, &
+         & 75.1378688772544052_dp, 74.7522526225990021_dp, 74.3605562994461025_dp, 73.9655071751756026_dp, &
+         & 73.5698426268048991_dp, 73.1762587746512025_dp, 72.7873633794939963_dp, 72.4056346986094042_dp, &
+         & 72.0333871227509945_dp, 71.6727435343400998_dp, 71.3256137093950002_dp, 70.9936778530413051_dp, &
+         & 70.6783744573490935_dp, 70.3808919446413057_dp, 70.1021638486996039_dp, 69.8428674891702030_dp, &
+         & 69.6034261811029040_dp, 69.3840150115670014_dp, 69.1845701476837007_dp, 69.0048015515418030_dp, &
+         & 68.8442088912135972_dp, 68.7021003642378929_dp, 68.5776140918017063_dp, 68.4697416948985023_dp, &
+         & 68.3773536232117038_dp, 68.2992257696223959_dp, 68.2340668664062946_dp, 68.1805461238978978_dp, &
+         & 68.1373205410914977_dp, 68.1030612940611064_dp, 68.0764785965805999_dp, 68.0563444322354059_dp, &
+         & 68.0415125823161020_dp, 68.0309354213681985_dp, 68.0236770233935033_dp, 68.0189222155423039_dp, &
+         & 68.0159813300803933_dp, 68.0142905352089997_dp, 68.0134077653497968_dp, 68.0130044153583952_dp, &
+         & 68.0128531040180064_dp, 68.0128119435859020_dp, 68.0128058683895063_dp, 68.0128053320652981_dp, &
+         & 68.0127948230564954_dp, 68.0127236229615022_dp, 68.0124618836700989_dp, 68.0117641811991973_dp, &
+         & 68.0102372681985941_dp, 68.0073130156768002_dp, 68.0022276175329949_dp, 67.9940079976376950_dp, &
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+         & 0.0025368186593227_dp, 0.0023405904659199_dp, 0.0021559012298837_dp, 0.0019835071124845_dp, &
+         & 0.0018238220753659_dp, 0.0016769558257579_dp, 0.0015427596888600_dp, 0.0014208734791055_dp, &
+         & 0.0013107747348471_dp, 0.0012118285588798_dp, 0.0011233236562163_dp, 0.0010444974926287_dp, &
+         & 0.0009745728258110_dp, 0.0009127925219588_dp, 0.0008584220029348_dp, 0.0008107451196793_dp, &
+         & 0.0007690907318363_dp, 0.0007328579120838_dp, 0.0007015018125145_dp, 0.0006745076139794_dp, &
+         & 0.0006513907860324_dp, 0.0006317118966308_dp, 0.0006150791059554_dp, 0.0006011389755542_dp, &
+         & 0.0005895679499872_dp, 0.0005800683433677_dp, 0.0005723665354367_dp, 0.0005662116105611_dp, &
+         & 0.0005613741112143_dp, 0.0005576449224520_dp, 0.0005548343693107_dp, 0.0005527716523090_dp, &
+         & 0.0005513046371419_dp, 0.0005502998550213_dp, 0.0005496425043390_dp, 0.0005492362702739_dp, &
+         & 0.0005490028343615_dp, 0.0005488809913032_dp, 0.0005488253274137_dp, 0.0005488044471491_dp, &
+         & 0.0005487987673121_dp, 0.0005487979289853_dp, 0.0005487978611995_dp, 0.0005487966033400_dp, &
+         & 0.0005487880813035_dp, 0.0005487567543554_dp, 0.0005486732559632_dp, 0.0005484905609308_dp, &
+         & 0.0005481408280872_dp, 0.0005475331084739_dp, 0.0005465521270480_dp, 0.0005450583613396_dp, &
+         & 0.0005428896427304_dp, 0.0005398644879051_dp, 0.0005357873218372_dp, 0.0005304556821670_dp, &
+         & 0.0005236693957897_dp, 0.0005152415741918_dp, 0.0005050110004987_dp, 0.0004928548552385_dp, &
+         & 0.0004786994404213_dp, 0.0004625253295956_dp, 0.0004443661722462_dp, 0.0004243109170403_dp, &
+         & 0.0004025294806951_dp, 0.0003793412261217_dp, 0.0003552461417087_dp, 0.0003305719492914_dp, &
+         & 0.0003053803530833_dp, 0.0002798976362612_dp, 0.0002550548007747_dp, 0.0002315507535826_dp, &
+         & 0.0002086387451214_dp, 0.0001863530392257_dp, 0.0001665246160343_dp, 0.0001483310203838_dp, &
+         & 1.3074892751774301e-04_dp, 1.1628469518143400e-04_dp, 1.0407276424473400e-04_dp, 9.2768772134377300e-05_dp, &
+         & 8.2115168467566905e-05_dp, 7.2040420391772400e-05_dp, 6.2668570294022202e-05_dp, 5.4234629317306799e-05_dp, &
+         & 4.6968884646503297e-05_dp, 4.1559226914955602e-05_dp, 3.7109024830783703e-05_dp, 3.3156997957917203e-05_dp, &
+         & 2.9352345464417299e-05_dp, 2.6188627160195200e-05_dp, 2.3619468024094200e-05_dp, 2.1074657041708599e-05_dp, &
+         & 1.8518186934102202e-05_dp, 1.6309475483922102e-05_dp, 1.4733073896877600e-05_dp, 1.3121707198138200e-05_dp, &
+         & 1.1521134794634200e-05_dp, 9.9831069775291292e-06_dp, 8.5567201040248602e-06_dp, 7.2748036075154198e-06_dp, &
+         & 6.1451415120927802e-06_dp, 5.1530647340314300e-06_dp, 4.2761067788887902e-06_dp, 3.4971549638385101e-06_dp, &
+         & 2.8074537681277400e-06_dp, 2.2037667832819399e-06_dp, 1.6848293000748499e-06_dp, 1.2489002614302100e-06_dp, &
+         & 8.9255033230983795e-07_dp, 6.1035503051698502e-07_dp, 3.9511698446403898e-07_dp, 1.4210854715202001e-14_dp, &
+         & 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, &
+         & 1.4210854715202001e-14_dp &
+         &]
+      case (85)
+         out = [&
+         & 85.0000000000000000_dp, 84.9999999007235942_dp, 84.9999968308997040_dp, 84.9999760323559030_dp, &
+         & 84.9998995741727015_dp, 84.9996957606110044_dp, 84.9992496987272972_dp, 84.9983953568164026_dp, &
+         & 84.9969093986262010_dp, 84.9945070228886976_dp, 84.9908399752467005_dp, 84.9854968328341016_dp, &
+         & 84.9780055937999066_dp, 84.9678385384525967_dp, 84.9544192688599935_dp, 84.9371317826038990_dp, &
+         & 84.9153313957720997_dp, 84.8883573003569012_dp, 84.8555465201374943_dp, 84.8162490128371047_dp, &
+         & 84.7698436491541969_dp, 84.7157547748213062_dp, 84.6534690247230941_dp, 84.5825520057367015_dp, &
+         & 84.5026643992897988_dp, 84.4135769631855055_dp, 84.3151838478518982_dp, 84.2075136013243934_dp, &
+         & 84.0907372369780006_dp, 83.9651727920405051_dp, 83.8312859198884013_dp, 83.6896862320865011_dp, &
+         & 83.5411193237787018_dp, 83.3864546565009022_dp, 83.2266697089470000_dp, 83.0628310118215012_dp, &
+         & 82.8960728356106955_dp, 82.7275743863056050_dp, 82.5585363804756014_dp, 82.3901578240372032_dp, &
+         & 82.2236137225021935_dp, 82.0600343224705995_dp, 81.9004863432225960_dp, 81.7459565195839986_dp, &
+         & 81.5973376545171050_dp, 81.4554172787723019_dp, 81.3208689373156943_dp, 81.1942460663620977_dp, &
+         & 81.0759783866015056_dp, 80.9663707125664018_dp, 80.8656040600811963_dp, 80.7737389191878066_dp, &
+         & 80.6907205457938943_dp, 80.6163861096564034_dp, 80.5504735183462941_dp, 80.4926317165435989_dp, &
+         & 80.4424322379882000_dp, 80.3993817647106965_dp, 80.3629354260958024_dp, 80.3325105503798937_dp, &
+         & 80.3075005649101996_dp, 80.2872887304534970_dp, 80.2712613905064956_dp, 80.2588204202205020_dp, &
+         & 80.2493945722087005_dp, 80.2424494387888956_dp, 80.2374957822801065_dp, 80.2340960264450018_dp, &
+         & 80.2318687521234040_dp, 80.2304910970667038_dp, 80.2296990220309993_dp, 80.2292854700206988_dp, &
+         & 80.2290965107048066_dp, 80.2290256248968063_dp, 80.2290063421773993_dp, 80.2290034960861931_dp, &
+         & 80.2290031227390017_dp, 80.2289944241988024_dp, 80.2289354902941056_dp, 80.2287188428038007_dp, &
+         & 80.2281413384274060_dp, 80.2268774755510066_dp, 80.2244569937080030_dp, 80.2202476514683980_dp, &
+         & 80.2134439561038022_dp, 80.2030624884441039_dp, 80.1879443169498956_dp, 80.1667648232172070_dp, &
+         & 80.1380510637611962_dp, 80.1002065675914992_dp, 80.0515432152303958_dp, 79.9903195647094947_dp, &
+         & 79.9147846898972034_dp, 79.8232262873718952_dp, 79.7140215071515001_dp, 79.5856886940759978_dp, &
+         & 79.4369380217448935_dp, 79.2667188960474931_dp, 79.0742620369015015_dp, 78.8591143421172944_dp, &
+         & 78.6211650024595059_dp, 78.3606618456142030_dp, 78.0782174751280991_dp, 77.7748053445771035_dp, &
+         & 77.4517463656979999_dp, 77.1106869167170004_dp, 76.7535691794734021_dp, 76.3825946573975045_dp, &
+         & 76.0001816457775021_dp, 75.6089174942242011_dp, 75.2115068128115070_dp, 74.8107172905178999_dp, &
+         & 74.4093253292588059_dp, 74.0100639787060999_dp, 73.6155754745387014_dp, 73.2283700170568039_dp, &
+         & 72.8507914839671997_dp, 72.4849898752595010_dp, 72.1328997098737972_dp, 71.7962234272885951_dp, &
+         & 71.4764190065427982_dp, 71.1746913242451029_dp, 70.8919870683041040_dp, 70.6289932129974005_dp, &
+         & 70.3861391257898958_dp, 70.1636023458572993_dp, 69.9613179921415025_dp, 69.7789916620342012_dp, &
+         & 69.6161155930041957_dp, 69.4719877874285032_dp, 69.3457337451034022_dp, 69.2363304036227021_dp, &
+         & 69.1426318485358991_dp, 69.0633963189241058_dp, 68.9973139980396013_dp, 68.9430350436191048_dp, &
+         & 68.8991972810126043_dp, 68.8644529583089025_dp, 68.8374939507439052_dp, 68.8170748063311066_dp, &
+         & 68.8020330496551935_dp, 68.7913062086974065_dp, 68.7839451014165064_dp, 68.7791230137724057_dp, &
+         & 68.7761405163046931_dp, 68.7744257979314000_dp, 68.7735305376361055_dp, 68.7731214806129998_dp, &
+         & 68.7729680283601965_dp, 68.7729262855472996_dp, 68.7729201243926980_dp, 68.7729195804800071_dp, &
+         & 68.7729089227787966_dp, 68.7728367152708984_dp, 68.7725712726241056_dp, 68.7718636983766061_dp, &
+         & 68.7703151812786047_dp, 68.7673495544966045_dp, 68.7621922067040998_dp, 68.7538562984992012_dp, &
+         & 68.7411370805308053_dp, 68.7226149282727050_dp, 68.6966674982849952_dp, 68.6614911676164041_dp, &
+         & 68.6151316386455932_dp, 68.5555232761971070_dp, 68.4805363970400975_dp, 68.3880313649208063_dp, &
+         & 68.2759179748565970_dp, 68.1422182624878019_dp, 67.9851305759995057_dp, 67.8030925285381016_dp, &
+         & 67.5948403338860970_dp, 67.3594620359238974_dp, 67.0964422817516066_dp, 66.8056965580425981_dp, &
+         & 66.4875932013092950_dp, 66.1429619918563958_dp, 65.7730887319691959_dp, 65.3796958701347961_dp, &
+         & 64.9649099332166031_dp, 64.5312172195519054_dp, 64.0814098226209978_dp, 63.6185245226801968_dp, &
+         & 63.1457773360492993_dp, 62.6664965111785008_dp, 62.1840565147939017_dp, 61.7018151157138988_dp, &
+         & 61.2230551382344999_dp, 60.7509319206931977_dp, 60.2884270593484999_dp, 59.8383086869160010_dp, &
+         & 59.4030983302438997_dp, 58.9850442811251980_dp, 58.5861013526894965_dp, 58.2079168414188999_dp, &
+         & 57.8518224500339997_dp, 57.5188318482998966_dp, 57.2096434703579035_dp, 56.9246480855710004_dp, &
+         & 56.6639406471918008_dp, 56.4273359221590027_dp, 56.2143874297609969_dp, 56.0244092550424000_dp, &
+         & 55.8565003416522003_dp, 55.7095708974415018_dp, 55.5823705574281988_dp, 55.4735179399162988_dp, &
+         & 55.3815312034634033_dp, 55.3048591687854980_dp, 55.2419125163344020_dp, 55.1910945142155001_dp, &
+         & 55.1508306799453010_dp, 55.1195967409249974_dp, 55.0959442394551004_dp, 55.0785231345393029_dp, &
+         & 55.0661007887527987_dp, 55.0575767961029996_dp, 55.0519932056023009_dp, 55.0485398222196025_dp, &
+         & 55.0465544166438008_dp, 55.0455178406150978_dp, 55.0450442169516023_dp, 55.0448665437955000_dp, &
+         & 55.0448182123354002_dp, 55.0448110787111986_dp, 55.0448105065063018_dp, 55.0447999464235025_dp, &
+         & 55.0447284003035975_dp, 55.0444653891213989_dp, 55.0437642972814984_dp, 55.0422299719310999_dp, &
+         & 55.0392915438076002_dp, 55.0341815565779982_dp, 55.0259223618323006_dp, 55.0133205862009973_dp, &
+         & 54.9949703017483031_dp, 54.9692653255955008_dp, 54.9344208341506004_dp, 54.8885041972396976_dp, &
+         & 54.8294746168852996_dp, 54.7552307984198023_dp, 54.6636654983422972_dp, 54.5527254012439968_dp, &
+         & 54.4204744016589004_dp, 54.2651580360902983_dp, 54.0852665593952011_dp, 53.8795940219572032_dp, &
+         & 53.6472907094005009_dp, 53.3879064762803992_dp, 53.1014228476444998_dp, 52.7882722690562005_dp, &
+         & 52.4493435280871978_dp, 52.0859730987997978_dp, 51.6999229074055009_dp, 51.2933457043401972_dp, &
+         & 50.8687397825309020_dp, 50.4288951536930981_dp, 49.9768334715770024_dp, 49.5157440009371967_dp, &
+         & 49.0489178288791976_dp, 48.5796823596297003_dp, 48.1113379626482995_dp, 47.6470984635163006_dp, &
+         & 47.1900369580943035_dp, 46.7430381675160973_dp, 46.3087582228341006_dp, 45.8895923863314010_dp, &
+         & 45.4876508171147975_dp, 45.1047421179787023_dp, 44.7423641012308977_dp, 44.4017010104172982_dp, &
+         & 44.0836263397604995_dp, 43.7887103923491026_dp, 43.5172317880767991_dp, 43.2691922445174981_dp, &
+         & 43.0443340812002972_dp, 42.8421600184262985_dp, 42.6619549411535033_dp, 42.5028093686053978_dp, &
+         & 42.3636444085786010_dp, 42.2432379832070026_dp, 42.1402520938942970_dp, 42.0532608524122011_dp, &
+         & 41.9807789488685970_dp, 41.9212901620250022_dp, 41.8732754504043001_dp, 41.8352401010901005_dp, &
+         & 41.8057393643319983_dp, 41.7834019728135004_dp, 41.7669509404427970_dp, 41.7552210610285002_dp, &
+         & 41.7471725843304995_dp, 41.7419006355184976_dp, 41.7386400612625010_dp, 41.7367655263722028_dp, &
+         & 41.7357868419641989_dp, 41.7353396710886031_dp, 41.7351719215498989_dp, 41.7351262895791990_dp, &
+         & 41.7351195543948990_dp, 41.7351190349126995_dp, 41.7351097066794026_dp, 41.7350465065270981_dp, &
+         & 41.7348141760898983_dp, 41.7341948685096966_dp, 41.7328395293469967_dp, 41.7302438939672982_dp, &
+         & 41.7257300661852994_dp, 41.7184345309253999_dp, 41.7073033232937007_dp, 41.6910949238772019_dp, &
+         & 41.6683912699076018_dp, 41.6376170584829026_dp, 41.5970672669267998_dp, 41.5449425252184028_dp, &
+         & 41.4793916496102000_dp, 41.3985602946534996_dp, 41.3006443194803978_dp, 41.1839461170173990_dp, &
+         & 41.0469318513537971_dp, 40.8882873218077023_dp, 40.7069700552809977_dp, 40.5022552495942989_dp, &
+         & 40.2737733683738028_dp, 40.0215375270298992_dp, 39.7459592957142007_dp, 39.4478521455908009_dp, &
+         & 39.1284224280814996_dp, 38.7892484391347026_dp, 38.4322487147746017_dp, 38.0596411713891030_dp, &
+         & 37.6738950061332005_dp, 37.2776774007008029_dp, 36.8737970484244002_dp, 36.4651463978190975_dp, &
+         & 36.0546443321685999_dp, 35.6451808312671972_dp, 35.2395650082754983_dp, 34.8404777703026980_dp, &
+         & 34.4504301816493026_dp, 34.0717283776166013_dp, 33.7064455692749974_dp, 33.3564013142834028_dp, &
+         & 33.0231478544728034_dp, 32.7079629975654029_dp, 32.4118487964999034_dp, 32.1355351759849981_dp, &
+         & 31.8794876622926004_dp, 31.6439184578594990_dp, 31.4288002287416006_dp, 31.2338821068777008_dp, &
+         & 31.0587075278602995_dp, 30.9026336171357983_dp, 30.7648519002371010_dp, 30.6444101473409987_dp, &
+         & 30.5402351724536985_dp, 30.4511563964228991_dp, 30.3759299542603998_dp, 30.3132630846696998_dp, &
+         & 30.2618384875867008_dp, 30.2203382792329016_dp, 30.1874671197920996_dp, 30.1619740429901988_dp, &
+         & 30.1426724861920015_dp, 30.1284580100065007_dp, 30.1183232123301003_dp, 30.1113693858005007_dp, &
+         & 30.1068145400591014_dp, 30.1039975088182992_dp, 30.1023779820409985_dp, 30.1015324391802004_dp, &
+         & 30.1011461027662008_dp, 30.1010011744943000_dp, 30.1009617504765998_dp, 30.1009559315737008_dp, &
+         & 30.1009554909838997_dp, 30.1009476859801985_dp, 30.1008948059346011_dp, 30.1007004133407001_dp, &
+         & 30.1001822344193002_dp, 30.0990482143656983_dp, 30.0968764373561015_dp, 30.0930997210059985_dp, &
+         & 30.0869956026677983_dp, 30.0776823274919991_dp, 30.0641213220986003_dp, 30.0451264883297000_dp, &
+         & 30.0193804739481998_dp, 29.9854578675640013_dp, 29.9418550223373003_dp, 29.8870259400698011_dp, &
+         & 29.8194233523252983_dp, 29.7375438323042012_dp, 29.6399754802385011_dp, 29.5254464706330992_dp, &
+         & 29.3928725588319999_dp, 29.2414015434669992_dp, 29.0704526919151007_dp, 28.8797492706321997_dp, &
+         & 28.6693425812506000_dp, 28.4396262723531983_dp, 28.1913401478123014_dp, 27.9255631876003996_dp, &
+         & 27.6436959949744008_dp, 27.3474333485064989_dp, 27.0387279434381007_dp, 26.7197467427626982_dp, &
+         & 26.3928216236195006_dp, 26.0603962020241013_dp, 25.7249708475662011_dp, 25.3890479497317010_dp, &
+         & 25.0550794522343985_dp, 24.7254185147731000_dp, 24.4022768865985000_dp, 24.0876891944921994_dp, &
+         & 23.7834848902435994_dp, 23.4912681157078005_dp, 23.2124052793269016_dp, 22.9480197441811988_dp, &
+         & 22.6989927383167007_dp, 22.4659694291344998_dp, 22.2493690525344014_dp, 22.0493980369947984_dp, &
+         & 21.8660651864533015_dp, 21.6991981540959991_dp, 21.5484606241103016_dp, 21.4133697971651991_dp, &
+         & 21.2933139313424995_dp, 21.1875698134019004_dp, 21.0953201211388013_dp, 21.0156706860350013_dp, &
+         & 20.9476676793072016_dp, 20.8903147287222986_dp, 20.8425899342930983_dp, 20.8034626950815991_dp, &
+         & 20.7719101940761988_dp, 20.7469333209354012_dp, 20.7275717505903998_dp, 20.7129178461268992_dp, &
+         & 20.7021290229663002_dp, 20.6944382027289002_dp, 20.6891620020975004_dp, 20.6857063452059009_dp, &
+         & 20.6835692559875000_dp, 20.6823406758139008_dp, 20.6816992560809005_dp, 20.6814061883537015_dp, &
+         & 20.6812962488947996_dp, 20.6812663427307015_dp, 20.6812619286448012_dp, 20.6812615972778993_dp, &
+         & 20.6812557648467994_dp, 20.6812162492883012_dp, 20.6810709862252011_dp, 20.6806837706119993_dp, &
+         & 20.6798363707900990_dp, 20.6782135450326017_dp, 20.6753915822473999_dp, 20.6708309290217009_dp, &
+         & 20.6638733950060995_dp, 20.6537443432263004_dp, 20.6395601653813010_dp, 20.6203412083038984_dp, &
+         & 20.5950301513284018_dp, 20.5625156326983998_dp, 20.5216606877606011_dp, 20.4713352992428987_dp, &
+         & 20.4104520831374003_dp, 20.3380038614498986_dp, 20.2531016293911001_dp, 20.1550112369091003_dp, &
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+         & 0.2899558023428740_dp, 0.2822382441757440_dp, 0.2747702839441360_dp, 0.2675909178508110_dp, &
+         & 0.2607331836775160_dp, 0.2542240897373060_dp, 0.2480846922853460_dp, 0.2423302958134460_dp, &
+         & 0.2369707497153540_dp, 0.2320108155648910_dp, 0.2274505813880840_dp, 0.2232859024725680_dp, &
+         & 0.2195088520571030_dp, 0.2161081693084270_dp, 0.2130696959883240_dp, 0.2103767968553000_dp, &
+         & 0.2080107619221110_dp, 0.2059511910520940_dp, 0.2041763629439540_dp, 0.2026635913072990_dp, &
+         & 0.2013895710073970_dp, 0.2003307162462140_dp, 0.1994634915792800_dp, 0.1987647349126150_dp, &
+         & 0.1982119697739650_dp, 0.1977837023134870_dp, 0.1974596968629210_dp, 0.1972212226560690_dp, &
+         & 0.1970512636337530_dp, 0.1969346832252650_dp, 0.1968583366551680_dp, 0.1968111246439430_dp, &
+         & 0.1967839842684920_dp, 0.1967698150811830_dp, 0.1967633411845780_dp, 0.1967609126221960_dp, &
+         & 0.1967602519962240_dp, 0.1967601544892690_dp, 0.1967601468806490_dp, 0.1967600091138020_dp, &
+         & 0.1967590757243580_dp, 0.1967556445032410_dp, 0.1967464982600970_dp, 0.1967264826029830_dp, &
+         & 0.1966881528015850_dp, 0.1966215050182140_dp, 0.1965138061316050_dp, 0.1963495350860430_dp, &
+         & 0.1961104470033630_dp, 0.1957757689692410_dp, 0.1953225332137410_dp, 0.1947260491466380_dp, &
+         & 0.1939605102627840_dp, 0.1929997253246540_dp, 0.1918179556586640_dp, 0.1903908322760510_dp, &
+         & 0.1886963184628460_dp, 0.1867156762551900_dp, 0.1844343897096510_dp, 0.1818429949657200_dp, &
+         & 0.1789377675216880_dp, 0.1757212213864960_dp, 0.1722023829362480_dp, 0.1683968140616660_dp, &
+         & 0.1643263737617390_dp, 0.1600187235470260_dp, 0.1555065984356930_dp, 0.1508268804294060_dp, &
+         & 0.1460195237222880_dp, 0.1411263893734680_dp, 0.1361900510330830_dp, 0.1312526323168870_dp, &
+         & 0.1263547308718100_dp, 0.1215344748209470_dp, 0.1168267452387970_dp, 0.1122625849020410_dp, &
+         & 0.1078688001072120_dp, 0.1036677500220550_dp, 0.0996773077469015_dp, 0.0959109695900793_dp, &
+         & 0.0923780842499866_dp, 0.0890841715826411_dp, 0.0860313010989131_dp, 0.0832185027721408_dp, &
+         & 0.0806421865572702_dp, 0.0782965516352192_dp, 0.0761739712807241_dp, 0.0742653439953074_dp, &
+         & 0.0725604058541620_dp, 0.0710480026899205_dp, 0.0697163236781080_dp, 0.0685531000576702_dp, &
+         & 0.0675457741426300_dp, 0.0666816445055929_dp, 0.0659479933263327_dp, 0.0653322014828177_dp, &
+         & 0.0648218561198064_dp, 0.0644048542605731_dp, 0.0640695046407984_dp, 0.0638046284507823_dp, &
+         & 0.0635996581955283_dp, 0.0634447325351175_dp, 0.0633307838607351_dp, 0.0632496145904042_dp, &
+         & 0.0631939577968410_dp, 0.0631575178412902_dp, 0.0631349871779179_dp, 0.0631220363628415_dp, &
+         & 0.0631152754733222_dp, 0.0631121865047817_dp, 0.0631110277483344_dp, 0.0631107125405634_dp, &
+         & 0.0631106660166552_dp, 0.0631106623554132_dp, 0.0631105956670268_dp, 0.0631101438445114_dp, &
+         & 0.0631084829149131_dp, 0.0631040556228584_dp, 0.0630943672950366_dp, 0.0630758156421081_dp, &
+         & 0.0630435624658645_dp, 0.0629914550504509_dp, 0.0629120047307481_dp, 0.0627964295981656_dp, &
+         & 0.0626347673235728_dp, 0.0624160624377339_dp, 0.0621286299301289_dp, 0.0617603935831283_dp, &
+         & 0.0612992930512064_dp, 0.0607337484700849_dp, 0.0600531656673837_dp, 0.0592484593523324_dp, &
+         & 0.0583125666485671_dp, 0.0572409197412753_dp, 0.0560318449748110_dp, 0.0546868570506973_dp, &
+         & 0.0532108213773199_dp, 0.0516119650807241_dp, 0.0499017272431956_dp, 0.0480944507176986_dp, &
+         & 0.0462069301695180_dp, 0.0442578424492126_dp, 0.0422670946737185_dp, 0.0402551313977568_dp, &
+         & 0.0382422443274493_dp, 0.0362479259944308_dp, 0.0342903030367552_dp, 0.0323856760505663_dp, &
+         & 0.0305481825594569_dp, 0.0287895888228320_dp, 0.0271192062167103_dp, 0.0255439197279230_dp, &
+         & 0.0240683102497741_dp, 0.0226948489964656_dp, 0.0214241413130907_dp, 0.0202551981104619_dp, &
+         & 0.0191857156544160_dp, 0.0182123479588796_dp, 0.0173309600048839_dp, 0.0165368539221760_dp, &
+         & 0.0158249637543548_dp, 0.0151900173006254_dp, 0.0146266657540224_dp, 0.0141295834858113_dp, &
+         & 0.0136935414233506_dp, 0.0133134581000292_dp, 0.0129844326952906_dp, 0.0127017643120553_dp, &
+         & 0.0124609614485678_dp, 0.0122577451870001_dp, 0.0120880490958228_dp, 0.0119480182644907_dp, &
+         & 0.0118340092774218_dp, 0.0117425923103980_dp, 0.0116705559163393_dp, 0.0116149144808162_dp, &
+         & 0.0115729178004358_dp, 0.0115420617958648_dp, 0.0115200990420448_dp, 0.0115050476059224_dp, &
+         & 0.0114951966354226_dp, 0.0114891072486358_dp, 0.0114856075106360_dp, 0.0114837806379029_dp, &
+         & 0.0114829459945298_dp, 0.0114826329022719_dp, 0.0114825477346585_dp, 0.0114825351641343_dp, &
+         & 0.0114825341661202_dp, 0.0114825158764944_dp, 0.0114823919621330_dp, 0.0114819364487460_dp, &
+         & 0.0114807222853130_dp, 0.0114780654637485_dp, 0.0114729786558883_dp, 0.0114641367941175_dp, &
+         & 0.0114498571046937_dp, 0.0114280961650479_dp, 0.0113964665233652_dp, 0.0113522751909869_dp, &
+         & 0.0112925857973210_dp, 0.0112143052850939_dp, 0.0111142946635283_dp, 0.0109895015243211_dp, &
+         & 0.0108371098372402_dp, 0.0106547001517043_dp, 0.0104404110065133_dp, 0.0101930904383067_dp, &
+         & 0.0099124253581806_dp, 0.0095990365866641_dp, 0.0092545287374009_dp, 0.0088814869824745_dp, &
+         & 0.0084834168453796_dp, 0.0080646281538748_dp, 0.0076300695498901_dp, 0.0071851248162602_dp, &
+         & 0.0067353860612798_dp, 0.0062864209529607_dp, 0.0058435513841459_dp, 0.0054116591356603_dp, &
+         & 0.0049950305788968_dp, 0.0045972478189924_dp, 0.0042211287063765_dp, 0.0038687136132865_dp, &
+         & 0.0035412933209784_dp, 0.0032394699931473_dp, 0.0029632419464178_dp, 0.0027121026137422_dp, &
+         & 0.0024851446396639_dp, 0.0022811613919203_dp, 0.0020987401624240_dp, 0.0019363435843758_dp, &
+         & 0.0017923777948283_dp, 0.0016652472429399_dp, 0.0015533967760746_dp, 0.0014553419979819_dp, &
+         & 0.0013696891728046_dp, 0.0012951462569930_dp, 0.0012305269137443_dp, 0.0011747494353642_dp, &
+         & 0.0011268322822673_dp, 0.0010858875447184_dp, 0.0010511132403650_dp, 0.0010217850935845_dp, &
+         & 0.0009972482978498_dp, 0.0009769096799772_dp, 0.0009602306084560_dp, 0.0009467208939924_dp, &
+         & 0.0009359338179848_dp, 0.0009274623160849_dp, 0.0009209362479226_dp, 0.0009160206114132_dp, &
+         & 0.0009124145052084_dp, 0.0009098506051970_dp, 0.0009080948991596_dp, 0.0009069464191498_dp, &
+         & 0.0009062367254842_dp, 0.0009058289281825_dp, 0.0009056160809848_dp, 0.0009055188429983_dp, &
+         & 0.0009054823678696_dp, 0.0009054724459503_dp, 0.0009054709815075_dp, 0.0009054708641969_dp, &
+         & 0.0009054687004380_dp, 0.0009054540408471_dp, 0.0009054001524476_dp, 0.0009052565190899_dp, &
+         & 0.0009049422488658_dp, 0.0009043406438991_dp, 0.0009032952612387_dp, 0.0009016078267194_dp, &
+         & 0.0008990383942233_dp, 0.0008953081555489_dp, 0.0008901052820534_dp, 0.0008830940963804_dp, &
+         & 0.0008739277115097_dp, 0.0008622640263098_dp, 0.0008477846305794_dp, 0.0008302157740729_dp, &
+         & 0.0008093501298134_dp, 0.0007850676977199_dp, 0.0007573539145511_dp, 0.0007263129337360_dp, &
+         & 0.0006921741664740_dp, 0.0006552905836230_dp, 0.0006161279959542_dp, 0.0005752455417252_dp, &
+         & 0.0005332687685637_dp, 0.0004908577181197_dp, 0.0004486730653923_dp, 0.0004073435998038_dp, &
+         & 0.0003674380826197_dp, 0.0003294433693668_dp, 0.0002937489317958_dp, 0.0002606375466030_dp, &
+         & 0.0002302835656991_dp, 0.0002027596742948_dp, 0.0001780491391230_dp, 0.0001560617245957_dp, &
+         & 1.3665584184252601e-04_dp, 1.1965935885882600e-04_dp, 1.0487445155149501e-04_dp, 9.2082253459580002e-05_dp, &
+         & 8.1069554212831503e-05_dp, 7.1636120679841001e-05_dp, 6.3563016411194399e-05_dp, 5.6638675758335901e-05_dp, &
+         & 5.0741531367748400e-05_dp, 4.5796983528134701e-05_dp, 4.1632087516063600e-05_dp, 3.8034497137573501e-05_dp, &
+         & 3.4939327946403898e-05_dp, 3.2409687321432998e-05_dp, 3.0402991683331500e-05_dp, 2.8724407400204699e-05_dp, &
+         & 2.7232168193336299e-05_dp, 2.5896275900549901e-05_dp, 2.4738489500464301e-05_dp, 2.3777151611170700e-05_dp, &
+         & 2.3004350140354301e-05_dp, 2.2392888084254998e-05_dp, 2.1912879716978801e-05_dp, 2.1540136231124099e-05_dp, &
+         & 2.1256055617868700e-05_dp, 2.1045080401904700e-05_dp, 2.0892999557986500e-05_dp, 2.0786676643069799e-05_dp, &
+         & 2.0714564655577299e-05_dp, 2.0667183477485199e-05_dp, 2.0637183311578200e-05_dp, 2.0619070369321000e-05_dp, &
+         & 2.0608816882372600e-05_dp, 2.0603511202921302e-05_dp, 2.0601098000838599e-05_dp, 2.0600194503117601e-05_dp, &
+         & 2.0599948911126399e-05_dp, 2.0599912687657700e-05_dp, 2.0599909461793700e-05_dp, 2.0599846308755301e-05_dp, &
+         & 2.0599418434130702e-05_dp, 2.0597845860947900e-05_dp, 2.0593656529399599e-05_dp, 2.0584501342568701e-05_dp, &
+         & 2.0567018125916500e-05_dp, 2.0536771131673999e-05_dp, 2.0488302965304700e-05_dp, 2.0415343243484999e-05_dp, &
+         & 2.0311213333457100e-05_dp, 2.0169418291970901e-05_dp, 1.9984272540796199e-05_dp, 1.9751094498587901e-05_dp, &
+         & 1.9465118185735301e-05_dp, 1.9118301338494300e-05_dp, 1.8694348469239200e-05_dp, 1.8164049905067299e-05_dp, &
+         & 1.7483671385321001e-05_dp, 1.6598480172547200e-05_dp, 1.5454621475896602e-05_dp, 1.4040981284324499e-05_dp, &
+         & 1.2700906552254299e-05_dp, 1.2079899249783900e-05_dp, 1.1344353538333999e-05_dp, 1.0083906914815100e-05_dp, &
+         & 8.4378429647813408e-06_dp, 8.5010668868790196e-06_dp, 8.5641835880778706e-06_dp, 8.0883810653631406e-06_dp, &
+         & 7.0805536864781996e-06_dp, 5.9631456394981797e-06_dp, 5.6417932228214298e-06_dp, 6.7456239492003104e-06_dp, &
+         & 8.8740072357040794e-06_dp, 1.1169796408694300e-05_dp, 1.2759376744497799e-05_dp, 1.3003233533481801e-05_dp, &
+         & 1.1708754584560699e-05_dp, 9.1670197122084607e-06_dp, 6.0235263532604196e-06_dp, 3.0524599168302298e-06_dp, &
+         & 9.8839490192403900e-07_dp, 7.1189491279710595e-07_dp, 1.2592082612172800e-06_dp, 1.4424188066186599e-06_dp, &
+         & 1.1153838954669501e-06_dp, 1.5041429861639699e-06_dp, 1.9011497727206000e-06_dp, 1.6660237491805699e-06_dp, &
+         & 8.9239210865343900e-07_dp, 1.0115693811485501e-06_dp, 1.3149229118880599e-06_dp, 1.4246531492290200e-06_dp, &
+         & 1.2697384619286799e-06_dp, 9.9190488356271110e-07_dp, 7.3134363276494696e-07_dp, 5.8269620240025699e-07_dp, &
+         & 5.6112682500497602e-07_dp, 6.0542832613918996e-07_dp, 6.4662818033411895e-07_dp, 6.4999859716863295e-07_dp, &
+         & 6.1025099284961502e-07_dp, 5.3726540727438998e-07_dp, 4.4583225644601001e-07_dp, 3.4986844354989401e-07_dp, &
+         &  0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, -1.4210854715202001e-14_dp, 0.0000000000000000e+00_dp, &
+         & -1.4210854715202001e-14_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, &
+         & -1.4210854715202001e-14_dp &
+         &]
+      case (86)
+         out = [&
+         & 86.0000000000000000_dp, 85.9999998990832069_dp, 85.9999967785357029_dp, 85.9999756363306034_dp, &
+         & 85.9998979148026024_dp, 85.9996907335530949_dp, 85.9992373011886002_dp, 85.9983688424756991_dp, &
+         & 85.9968583305141010_dp, 85.9944162571883055_dp, 85.9906886116395981_dp, 85.9852571685647007_dp, &
+         & 85.9776421190869939_dp, 85.9673070103230970_dp, 85.9536658990895006_dp, 85.9360925734401064_dp, &
+         & 85.9139316547379934_dp, 85.8865113628978065_dp, 85.8531577062986031_dp, 85.8132098414881028_dp, &
+         & 85.7660363302554032_dp, 85.7110519963639064_dp, 85.6477350456491990_dp, 85.5756440586859952_dp, &
+         & 85.4944343969259961_dp, 85.4038734890026063_dp, 85.3038543971592986_dp, 85.1944070216162999_dp, &
+         & 85.0757063007447982_dp, 84.9480768212770982_dp, 84.8119933721396961_dp, 84.6680771545018018_dp, &
+         & 84.5170875852617058_dp, 84.3599098785988986_dp, 84.1975388325714960_dp, 84.0310594573765002_dp, &
+         & 83.8616252362425030_dp, 83.6904348953842003_dp, 83.5187085729924945_dp, 83.3476642259523004_dp, &
+         & 83.1784950115675059_dp, 83.0123482488424003_dp, 82.8503064189741991_dp, 82.6933705241339965_dp, &
+         & 82.5424459991710933_dp, 82.3983312691047018_dp, 82.2617089678022069_dp, 82.1331397780184034_dp, &
+         & 82.0130588155899005_dp, 81.9017744557719993_dp, 81.7994694823412942_dp, 81.7062044259189975_dp, &
+         & 81.6219229439271032_dp, 81.5464590788130010_dp, 81.4795462128879961_dp, 81.4208275173772051_dp, &
+         & 81.3698676707385005_dp, 81.3261655980761020_dp, 81.2891679608927973_dp, 81.2582831060195048_dp, &
+         & 81.2328951659065979_dp, 81.2123779911424037_dp, 81.1961085915658032_dp, 81.1834797659664957_dp, &
+         & 81.1739116131371929_dp, 81.1668616395952967_dp, 81.1618332117829056_dp, 81.1583821426098950_dp, &
+         & 81.1561212528787053_dp, 81.1547228059416028_dp, 81.1539187769200936_dp, 81.1534989836433027_dp, &
+         & 81.1533071725935002_dp, 81.1532352169939060_dp, 81.1532156432646019_dp, 81.1532127542209025_dp, &
+         & 81.1532123752393062_dp, 81.1532035454228975_dp, 81.1531437221031950_dp, 81.1529238050323016_dp, &
+         & 81.1523375851789979_dp, 81.1510546488194962_dp, 81.1485976394524045_dp, 81.1443247770334040_dp, &
+         & 81.1374184201612962_dp, 81.1268803251722943_dp, 81.1115341046108966_dp, 81.0900352131586004_dp, &
+         & 81.0608885885329045_dp, 81.0224738456039972_dp, 80.9730776633954008_dp, 80.9109327190914058_dp, &
+         & 80.8342622170694938_dp, 80.7413287458939948_dp, 80.6304858899972032_dp, 80.5002307504513936_dp, &
+         & 80.3492553229846038_dp, 80.1764945783861975_dp, 79.9811691274239962_dp, 79.7628205560911994_dp, &
+         & 79.5213378919185061_dp, 79.2569741791492959_dp, 78.9703527327996966_dp, 78.6624632125465979_dp, &
+         & 78.3346481050517980_dp, 77.9885804557644065_dp, 77.6262337417390995_dp, 77.2498447020297050_dp, &
+         & 76.8618698856037952_dp, 76.4649367934540010_dp, 76.0617908646274969_dp, 75.6552401234673937_dp, &
+         & 75.2480998505673995_dp, 74.8431398759800004_dp, 74.4430368190906933_dp, 74.0503328341394962_dp, &
+         & 73.6674014138419011_dp, 73.2964199051310032_dp, 72.9393478628582983_dp, 72.5979102718080043_dp, &
+         & 72.2735848859735057_dp, 71.9675932726838994_dp, 71.6808954446393045_dp, 71.4141881337774009_dp, &
+         & 71.1679068019725065_dp, 70.9422314325245935_dp, 70.7370960505589039_dp, 70.5522018169918965_dp, &
+         & 70.3870334504108968_dp, 70.2408786606928004_dp, 70.1128502252072963_dp, 70.0019102970433948_dp, &
+         & 69.9068964987537953_dp, 69.8265493203812042_dp, 69.7595403053225027_dp, 69.7045004727214064_dp, &
+         & 69.6600483933762007_dp, 69.6248173117548959_dp, 69.5974806943717965_dp, 69.5767755891350959_dp, &
+         & 69.5615232052554973_dp, 69.5506461715592934_dp, 69.5431820036260007_dp, 69.5382924062531060_dp, &
+         & 69.5352681546506943_dp, 69.5335294310922052_dp, 69.5326216377228974_dp, 69.5322068541880043_dp, &
+         & 69.5320512537153945_dp, 69.5320089265339050_dp, 69.5320026791277002_dp, 69.5320021276006059_dp, &
+         & 69.5319913206995039_dp, 69.5319181023402990_dp, 69.5316489436986984_dp, 69.5309314639845013_dp, &
+         & 69.5293612690723961_dp, 69.5263541269030014_dp, 69.5211245841942969_dp, 69.5126719916753046_dp, &
+         & 69.4997747459792947_dp, 69.4809933725253046_dp, 69.4546828608384033_dp, 69.4190144172797972_dp, &
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+         & 2.1998826056801600e-05_dp, 1.8618996278973999e-05_dp, 1.5776834175085201e-05_dp, 1.3401791690625899e-05_dp, &
+         & 1.1425796728303799e-05_dp, 9.7858853536081403e-06_dp, 8.4238525772661904e-06_dp, 7.2919416851391403e-06_dp, &
+         & 6.3585092817675104e-06_dp, 5.5921469481745598e-06_dp, 4.9574348537362303e-06_dp, 4.4456803891534904e-06_dp, &
+         & 4.0579988791478197e-06_dp, 3.7426524528427801e-06_dp, 3.4373194210957102e-06_dp, 3.1728732494684702e-06_dp, &
+         & 3.0400992869772402e-06_dp, 3.0267712389786500e-06_dp, 3.0138564710569001e-06_dp, 2.9234057592475399e-06_dp, &
+         & 2.7641428204105999e-06_dp, 2.5925620406042101e-06_dp, 2.4623338248375102e-06_dp, 2.3905184889372301e-06_dp, &
+         & 2.3607939425573902e-06_dp, 2.3499258503534301e-06_dp, 2.3439501717348300e-06_dp, 2.3381968787816702e-06_dp, &
+         & 2.3324007258906902e-06_dp, 2.3273128277878598e-06_dp, 2.3234207588984599e-06_dp, 2.3207792594348601e-06_dp, &
+         & 2.3191777387410201e-06_dp, 2.3183173425422899e-06_dp, 2.3179186854349601e-06_dp, 2.3177682209052402e-06_dp, &
+         & 2.3177272083785300e-06_dp, 2.3177211545544201e-06_dp, 2.3177209698133100e-06_dp, 2.3177210835001499e-06_dp, &
+         & 2.3177218935188602e-06_dp, 2.3177251051720300e-06_dp, 2.3177355501502499e-06_dp, 2.3177677519470299e-06_dp, &
+         & 2.3178647126087501e-06_dp, 2.3181401331839900e-06_dp, 2.3188559055142798e-06_dp, 2.3205308821161499e-06_dp, &
+         & 2.3240307314154098e-06_dp, 2.3304924496869700e-06_dp, 2.3408065459307198e-06_dp, 2.3543279468185599e-06_dp, &
+         & 2.3667717243824899e-06_dp, 2.3680966876327101e-06_dp, 2.3423505410846701e-06_dp, 2.2722213941506202e-06_dp, &
+         & 2.1509954422071999e-06_dp, 2.0023053366458001e-06_dp, 1.8912816130978199e-06_dp, 1.8718773588943800e-06_dp, &
+         & 1.8979326767976101e-06_dp, 1.8808272983506000e-06_dp, 1.8223578592824201e-06_dp, 1.8297596682259601e-06_dp, &
+         & 1.9391555241554700e-06_dp, 2.0498537338653499e-06_dp, 2.1171058222080302e-06_dp, 2.1802680976179498e-06_dp, &
+         & 2.2453860992754901e-06_dp, 2.3052258342204402e-06_dp, 2.4144153059069102e-06_dp, 2.5889184769312098e-06_dp, &
+         & 2.7648564895343999e-06_dp, 2.8886153842222501e-06_dp, 2.8952610620080998e-06_dp, 2.7090358400983001e-06_dp, &
+         & 2.3454733906191900e-06_dp, 1.9030838842581901e-06_dp, 1.3858677903044700e-06_dp, 9.0766842220091295e-07_dp, &
+         & 1.1381341664673500e-06_dp, 1.1071989121091999e-06_dp, 4.2338983519130098e-07_dp, 1.7955364484123499e-06_dp, &
+         & 2.7580324655218600e-06_dp, 3.2014748683195602e-06_dp, 3.0862561573030702e-06_dp, 2.4966299037032501e-06_dp, &
+         & 1.6003205729475701e-06_dp, 5.5607632987175695e-07_dp, 7.3418169677097499e-07_dp, 9.3438664805489701e-07_dp, &
+         &  8.2494250364106805e-07_dp, 5.9364747073686896e-07_dp, -4.2632564145605999e-14_dp, -4.2632564145605999e-14_dp, &
+         & -4.2632564145605999e-14_dp, -4.2632564145605999e-14_dp, 4.4245973640499901e-07_dp, 4.6607902959294702e-07_dp, &
+         &  4.4850645508631699e-07_dp, 4.0033448556187100e-07_dp, -4.2632564145605999e-14_dp, -5.6843418860808002e-14_dp, &
+         & -2.8421709430404001e-14_dp, -4.2632564145605999e-14_dp, -4.2632564145605999e-14_dp, -4.2632564145605999e-14_dp, &
+         & -4.2632564145605999e-14_dp, -4.2632564145605999e-14_dp, -4.2632564145605999e-14_dp, -4.2632564145605999e-14_dp, &
+         & -4.2632564145605999e-14_dp &
+         &]
+      case (87)
+         out = [&
+         & 87.0000000000000000_dp, 86.9999998974742965_dp, 86.9999967271750023_dp, 86.9999752478940991_dp, &
+         & 86.9998962872302002_dp, 86.9996858028253968_dp, 86.9992251412116957_dp, 86.9983428361872058_dp, &
+         & 86.9968082408854002_dp, 86.9943272304385005_dp, 86.9905401475718065_dp, 86.9850220944481975_dp, &
+         & 86.9772856039420930_dp, 86.9667856559209014_dp, 86.9529269426214029_dp, 86.9350732348703019_dp, &
+         & 86.9125586595754953_dp, 86.8847006687168033_dp, 86.8508144589204960_dp, 86.8102285842465022_dp, &
+         & 86.7623014869175933_dp, 86.7064386445879052_dp, 86.6421099926505036_dp, 86.5688672233913934_dp, &
+         & 86.4863604927963934_dp, 86.3943539887701064_dp, 86.2927397453949965_dp, 86.1815490443996026_dp, &
+         & 86.0609607454273942_dp, 85.9313059454774049_dp, 85.7930684917390067_dp, 85.6468810572231973_dp, &
+         & 85.4935167203203008_dp, 85.3338762438326057_dp, 85.1689714973052929_dp, 84.9999056800801043_dp, &
+         & 84.8278511584077961_dp, 84.6540258145007982_dp, 84.4796688159653968_dp, 84.3060166583779989_dp, &
+         & 84.1342802273878050_dp, 83.9656234892111968_dp, 83.8011442694978967_dp, 83.6418574371072054_dp, &
+         & 83.4886806832459030_dp, 83.3424229840831998_dp, 83.2037757577484030_dp, 83.0733066721346063_dp, &
+         & 82.9514560234857043_dp, 82.8385355818208069_dp, 82.7347297825620984_dp, 82.6400991299639003_dp, &
+         & 82.5545856640122935_dp, 82.4780203265555940_dp, 82.4101320438151959_dp, 82.3505583212342032_dp, &
+         & 82.2988571235752033_dp, 82.2545197894182962_dp, 82.2169847061339993_dp, 82.1856514505446967_dp, &
+         & 82.1598950834650026_dp, 82.1390802747112048_dp, 82.1225749305041006_dp, 82.1097629987804964_dp, &
+         & 82.1000561407995946_dp, 82.0929039802400951_dp, 82.0878026738840987_dp, 82.0843015905988977_dp, &
+         & 82.0820079367056934_dp, 82.0805892244528934_dp, 82.0797735442031069_dp, 82.0793476677365987_dp, &
+         & 82.0791530771818998_dp, 82.0790800788868040_dp, 82.0790602215183043_dp, 82.0790572906100948_dp, &
+         & 82.0790569061366995_dp, 82.0790479483691939_dp, 82.0789872581618027_dp, 82.0787641543241051_dp, &
+         & 82.0781694397490043_dp, 82.0768679130434009_dp, 82.0743753014926938_dp, 82.0700405283067056_dp, &
+         & 82.0630341118022955_dp, 82.0523433608347972_dp, 82.0367748772684990_dp, 82.0149646993832988_dp, &
+         & 81.9853962164189056_dp, 81.9464257513310059_dp, 81.8963154455993987_dp, 81.8332727890115024_dp, &
+         & 81.7554958253888060_dp, 81.6612227442650038_dp, 81.5487842570828008_dp, 81.4166568804670021_dp, &
+         & 81.2635150416282954_dp, 81.0882798199252051_dp, 80.8901621810431948_dp, 80.6686987722765991_dp, &
+         & 80.4237787317951955_dp, 80.1556604897051983_dp, 79.8649781339561997_dp, 79.5527374807934962_dp, &
+         & 79.2203024254850021_dp, 78.8693723862850931_dp, 78.5019516943705042_dp, 78.1203117119075046_dp, &
+         & 77.7269464320526993_dp, 77.3245224840009939_dp, 76.9158249026862961_dp, 76.5037006378875049_dp, &
+         & 76.0910023248942053_dp, 75.6805350179626970_dp, 75.2750082137513061_dp, 74.8769946262485036_dp, &
+         & 74.4888961127198002_dp, 74.1129162612842975_dp, 73.7510386824185957_dp, 73.4050100259097036_dp, &
+         & 73.0763270201315009_dp, 72.7662271932032070_dp, 72.4756832258707959_dp, 72.2054010352560027_dp, &
+         & 71.9558217046757989_dp, 71.7271273033911996_dp, 71.5192505317014025_dp, 71.3318880178427008_dp, &
+         & 71.1645170023898004_dp, 71.0164150776182055_dp, 70.8866825995799985_dp, 70.7742673523572989_dp, &
+         & 70.6779910104358038_dp, 70.5965769119543012_dp, 70.5286786211172938_dp, 70.4729087232983034_dp, &
+         & 70.4278672643553989_dp, 70.3921692207759975_dp, 70.3644703744142959_dp, 70.3434909695796051_dp, &
+         & 70.3280365551037931_dp, 70.3170154625321970_dp, 70.3094524447921998_dp, 70.3044980968173974_dp, &
+         & 70.3014337978986958_dp, 70.2996720505472013_dp, 70.2987522365197037_dp, 70.2983319606097012_dp, &
+         & 70.2981742997513948_dp, 70.2981314120946053_dp, 70.2981250819633061_dp, 70.2981245231331968_dp, &
+         & 70.2981135731324969_dp, 70.2980393852530057_dp, 70.2977666625549062_dp, 70.2970396823947965_dp, &
+         & 70.2954486960929046_dp, 70.2924017363227023_dp, 70.2871029517184951_dp, 70.2785384492447065_dp, &
+         & 70.2654704638981968_dp, 70.2464404892915013_dp, 70.2197817871336980_dp, 70.1836414439950005_dp, &
+         & 70.1360118567898070_dp, 70.0747712041372068_dp, 69.9977321040546059_dp, 69.9026972804917932_dp, &
+         & 69.7875206800644037_dp, 69.6501721203346023_dp, 69.4888032407805980_dp, 69.3018122969464940_dp, &
+         & 69.0879052139327001_dp, 68.8461503173742955_dp, 68.5760242991413946_dp, 68.2774472524958043_dp, &
+         & 67.9508050208519023_dp, 67.5969576334586009_dp, 67.2172332326723989_dp, 66.8134076051550068_dp, &
+         & 66.3876701735372023_dp, 65.9425780279721039_dp, 65.4810002043971053_dp, 65.0060548693432025_dp, &
+         & 64.5210422858030057_dp, 64.0293763832239051_dp, 63.5345174590263966_dp, 63.0399080689649978_dp, &
+         & 62.5489136187530974_dp, 62.0647686505066005_dp, 61.5905293987458009_dp, 61.1290329021407999_dp, &
+         & 60.6828627851753026_dp, 60.2543217259245978_dp, 59.8454105534706002_dp, 59.4578138362670998_dp, &
+         & 59.0928917199492005_dp, 58.7516776602270028_dp, 58.4348815952314027_dp, 58.1428980322485032_dp, &
+         & 57.8758184963665983_dp, 57.6334478009640989_dp, 57.4153236403791993_dp, 57.2207390574846997_dp, &
+         & 57.0487673879150989_dp, 56.8982893169406978_dp, 56.7680216980544969_dp, 56.6565477725264017_dp, &
+         & 56.5623483985082984_dp, 56.4838338513893987_dp, 56.4193757003648031_dp, 56.3673382069876965_dp, &
+         & 56.3261086376681988_dp, 56.2941258414218026_dp, 56.2699064238141986_dp, 56.2520678539545003_dp, &
+         & 56.2393478777747973_dp, 56.2306196797305020_dp, 56.2249023359671014_dp, 56.2213662318675986_dp, &
+         & 56.2193332702281978_dp, 56.2182718656872993_dp, 56.2177868976803978_dp, 56.2176049688709014_dp, &
+         & 56.2175554797699988_dp, 56.2175481752803989_dp, 56.2175475893699996_dp, 56.2175367763509968_dp, &
+         & 56.2174635165514971_dp, 56.2171942057114009_dp, 56.2164763213705001_dp, 56.2149052464162011_dp, &
+         & 56.2118964398377017_dp, 56.2066640683654981_dp, 56.1982070801681033_dp, 56.1853035478787035_dp, &
+         & 56.1665139290384019_dp, 56.1401936820705032_dp, 56.1045154293745014_dp, 56.0575005717174975_dp, &
+         & 55.9970599287161974_dp, 55.9210426128951994_dp, 55.8272919501871030_dp, 55.7137068558784989_dp, &
+         & 55.5783066873364007_dp, 55.4192972549305978_dp, 55.2351354156971013_dp, 55.0245895358319999_dp, &
+         & 54.7867931191389985_dp, 54.5212890807613988_dp, 54.2280625062227983_dp, 53.9075602633441022_dp, &
+         & 53.5606964954751987_dp, 53.1888437633921995_dp, 52.7938103482171002_dp, 52.3778049016057992_dp, &
+         & 51.9433901662245034_dp, 51.4934278512174970_dp, 51.0310169336941968_dp, 50.5594277017917975_dp, &
+         & 50.0820338073303972_dp, 49.6022444987363968_dp, 49.1234390750225032_dp, 48.6489054292144019_dp, &
+         & 48.1817843107784967_dp, 47.7250206137670006_dp, 47.2813225954340979_dp, 46.8531294804484020_dp, &
+         & 46.4425874584415013_dp, 46.0515336906319988_dp, 45.6814876460545989_dp, 45.3336489099534035_dp, &
+         & 45.0089005440076022_dp, 44.7078171102107973_dp, 44.4306765675051025_dp, 44.1774753809124974_dp, &
+         & 43.9479463193969977_dp, 43.7415785408491971_dp, 43.5576396581794967_dp, 43.3951995440845977_dp, &
+         & 43.2531556630986032_dp, 43.1302597206301996_dp, 43.0251453942003010_dp, 42.9363568672972988_dp, &
+         & 42.8623778270895031_dp, 42.8016605200472000_dp, 42.7526543911711983_dp, 42.7138337701328012_dp, &
+         & 42.6837240183891993_dp, 42.6609255219980028_dp, 42.6441349112324986_dp, 42.6321629144715004_dp, &
+         & 42.6239483123976015_dp, 42.6185675490918001_dp, 42.6152396763376018_dp, 42.6133264511346965_dp, &
+         & 42.6123275667925014_dp, 42.6118711663761971_dp, 42.6116999545143003_dp, 42.6116533807074021_dp, &
+         & 42.6116465065100982_dp, 42.6116459763058018_dp, 42.6116364555393972_dp, 42.6115719509466970_dp, &
+         & 42.6113348252507009_dp, 42.6107027352846970_dp, 42.6093194222536980_dp, 42.6066702138376030_dp, &
+         & 42.6020632229315979_dp, 42.5946171135282015_dp, 42.5832561712367976_dp, 42.5667132602278997_dp, &
+         & 42.5435410644465009_dp, 42.5121317929678995_dp, 42.4707452728346979_dp, 42.4175450562445988_dp, &
+         & 42.3506418360517998_dp, 42.2681431041088018_dp, 42.1682076182176004_dp, 42.0491028898178030_dp, &
+         & 41.9092635965110034_dp, 41.7473485950536016_dp, 41.5622940951694986_dp, 41.3533605808494968_dp, &
+         & 41.1201712516674007_dp, 40.8627401045729002_dp, 40.5814882702095971_dp, 40.2772478206639022_dp, &
+         & 39.9512529239476990_dp, 39.6051188700078001_dp, 39.2408100689996004_dp, 38.8605985726230969_dp, &
+         & 38.4670149650181017_dp, 38.0627936128923992_dp, 37.6508142854154002_dp, 37.2340420996552979_dp, &
+         & 36.8154676614020033_dp, 36.3980491772488008_dp, 35.9846582036137974_dp, 35.5780305379227002_dp, &
+         & 35.1807235072203000_dp, 34.7950805521380033_dp, 34.4232035609919009_dp, 34.0669329394109965_dp, &
+         & 33.7278349819858008_dp, 33.4071958084632996_dp, 33.1060209683141977_dp, 32.8250397951688981_dp, &
+         & 32.5647136696486967_dp, 32.3252474787266024_dp, 32.1066037013440990_dp, 31.9085186771968985_dp, &
+         & 31.7305207164029994_dp, 31.5719497802684010_dp, 31.4319785104590004_dp, 31.3096344093464012_dp, &
+         & 31.2038229809968009_dp, 31.1133516320030985_dp, 31.0369541055569016_dp, 30.9733151828384017_dp, &
+         & 30.9210953362348988_dp, 30.8789549638548984_dp, 30.8455777803856996_dp, 30.8196928924832996_dp, &
+         & 30.8000950546062988_dp, 30.7856625898670018_dp, 30.7753724749812001_dp, 30.7683121316119994_dp, &
+         & 30.7636875387496005_dp, 30.7608273801062992_dp, 30.7591830622762998_dp, 30.7583245770996996_dp, &
+         & 30.7579323274282999_dp, 30.7577851809207985_dp, 30.7577451534921984_dp, 30.7577392455272012_dp, &
+         & 30.7577387981938983_dp, 30.7577308737295994_dp, 30.7576771843224002_dp, 30.7574798164510987_dp, &
+         & 30.7569537066991998_dp, 30.7558023310618012_dp, 30.7535973192720000_dp, 30.7497628175013986_dp, &
+         & 30.7435653298159011_dp, 30.7341096604632007_dp, 30.7203414518306985_dp, 30.7010566618170984_dp, &
+         & 30.6749181443102010_dp, 30.6404792835053996_dp, 30.5962143857423001_dp, 30.5405552543581003_dp, &
+         & 30.4719330721456991_dp, 30.3888244067900999_dp, 30.2897998574253009_dp, 30.1735736001213013_dp, &
+         & 30.0390518939273008_dp, 29.8853785032048016_dp, 29.7119749974925007_dp, 29.5185740190174002_dp, &
+         & 29.3052438599593010_dp, 29.0724030529902997_dp, 28.8208241236703984_dp, 28.5516261483412990_dp, &
+         & 28.2662562707469007_dp, 27.9664608235192986_dp, 27.6542471539200996_dp, 27.3318376520297015_dp, &
+         & 27.0016178135748000_dp, 26.6660804272040011_dp, 26.3277681405236983_dp, 25.9892167091149986_dp, &
+         & 25.6529011475388984_dp, 25.3211867703693017_dp, 24.9962867419972987_dp, 24.6802272756251995_dp, &
+         & 24.3748210828905982_dp, 24.0816491348722010_dp, 23.8020503108038000_dp, 23.5371181287814011_dp, &
+         & 23.2877035001392017_dp, 23.0544223317167010_dp, 22.8376668048946989_dp, 22.6376192608848008_dp, &
+         & 22.4542677859105986_dp, 22.2874227852212989_dp, 22.1367340334448990_dp, 22.0017078696640986_dp, &
+         & 21.8817243553083998_dp, 21.7760543247219012_dp, 21.6838763305491007_dp, 21.6042935210190983_dp, &
+         & 21.5363504881993997_dp, 21.4790501010573003_dp, 21.4313702910577994_dp, 21.3922806977757993_dp, &
+         & 21.3607590144711992_dp, 21.3358068057162988_dp, 21.3164645077623014_dp, 21.3018252737723017_dp, &
+         & 21.2910472959123993_dp, 21.2833642289079989_dp, 21.2780933576915992_dp, 21.2746411958135013_dp, &
+         & 21.2725062697865006_dp, 21.2712789338038988_dp, 21.2706381638153985_dp, 21.2703453929993991_dp, &
+         & 21.2702355649282993_dp, 21.2702056890648983_dp, 21.2702012794512996_dp, 21.2702009484202001_dp, &
+         & 21.2701951218984995_dp, 21.2701556463774004_dp, 21.2700105304997003_dp, 21.2696237072562013_dp, &
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+         & 0.0000000000000000_dp &
+         &]
+      case (88)
+         out = [&
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+         & 0.0050092819942051_dp, 0.0046789270653846_dp, 0.0043885235105705_dp, 0.0041342305595435_dp, &
+         & 0.0039124421796828_dp, 0.0037198111039771_dp, 0.0035532569410322_dp, 0.0034099624527784_dp, &
+         & 0.0032873615764402_dp, 0.0031831222081138_dp, 0.0030951262120311_dp, 0.0030214486043860_dp, &
+         & 0.0029603374000686_dp, 0.0029101952051889_dp, 0.0028695632814504_dp, 0.0028371084949299_dp, &
+         & 0.0028116132803433_dp, 0.0027919685037716_dp, 0.0027771688883718_dp, 0.0027663104873312_dp, &
+         & 0.0027585895515756_dp, 0.0027533020567887_dp, 0.0027498431297772_dp, 0.0027477056519274_dp, &
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+         & 0.0027454037168724_dp, 0.0027453993060504_dp, 0.0027453989493580_dp, 0.0027453923297287_dp, &
+         & 0.0027453474812660_dp, 0.0027451826187956_dp, 0.0027447431963168_dp, 0.0027437817356031_dp, &
+         & 0.0027419412072902_dp, 0.0027387429652777_dp, 0.0027335803339952_dp, 0.0027257190409529_dp, &
+         & 0.0027143057261725_dp, 0.0026983856897402_dp, 0.0026769307935837_dp, 0.0026488779556928_dp, &
+         & 0.0026131779294900_dp, 0.0025688530483734_dp, 0.0025150613937370_dp, 0.0024511635350137_dp, &
+         & 0.0023767867800757_dp, 0.0022918809950880_dp, 0.0021967597509871_dp, 0.0020921210281699_dp, &
+         & 0.0019790430685021_dp, 0.0018589531578925_dp, 0.0017335699317869_dp, 0.0016048228442855_dp, &
+         & 0.0014747552480969_dp, 0.0013454196117948_dp, 0.0012187743731715_dp, 0.0010965916029448_dp, &
+         & 0.0009803830930792_dp, 0.0008713499747017_dp, 0.0007703579665446_dp, 0.0006779373655945_dp, &
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+         & 0.0003433267088866_dp, 0.0002989344249755_dp, 0.0002605591729434_dp, 0.0002274977208572_dp, &
+         & 0.0001990697859782_dp, 0.0001746357850010_dp, 0.0001536083934752_dp, 0.0001354592486820_dp, &
+         & 1.1972199426679700e-04_dp, 1.0599259694288299e-04_dp, 9.3927609142952005e-05_dp, 8.3240849093613206e-05_dp, &
+         & 7.3698848254366594e-05_dp, 6.5115399323190104e-05_dp, 5.7345557635812798e-05_dp, 5.0279411283327102e-05_dp, &
+         & 4.3835859202090399e-05_dp, 3.7956590190901800e-05_dp, 3.2600453792497299e-05_dp, 2.7738401854549001e-05_dp, &
+         & 2.3349142054485101e-05_dp, 1.9415583707882399e-05_dp, 1.5922091677111900e-05_dp, 1.2852504852389801e-05_dp, &
+         & 1.0188828909463200e-05_dp, 7.9104867154455894e-06_dp, 5.9940036578609596e-06_dp, 4.4130142242693199e-06_dp, &
+         & 3.1384956855617900e-06_dp, 2.1391566207285000e-06_dp, 1.3819292377093000e-06_dp, 8.3253405591676700e-07_dp, &
+         &  4.5610114796090800e-07_dp, -5.6843418860808002e-14_dp, -4.2632564145605999e-14_dp, -4.2632564145605999e-14_dp, &
+         & -4.2632564145605999e-14_dp &
+         &]
+      case (89)
+         out = [&
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+         & 73.5284039134758984_dp, 73.2936228017560012_dp, 73.0802197596964049_dp, 72.8878821165754971_dp, &
+         & 72.7160718740304048_dp, 72.5640460767604054_dp, 72.4308799103282013_dp, 72.3154920869370983_dp, &
+         & 72.2166720513511962_dp, 72.1331085088256998_dp, 72.0634187436501037_dp, 72.0061781621000989_dp, &
+         & 71.9599494607449941_dp, 71.9233107949714991_dp, 71.8948823085695068_dp, 71.8733503883967018_dp, &
+         & 71.8574890327603981_dp, 71.8461777711340943_dp, 71.8384156473153013_dp, 71.8333308773256931_dp, &
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+         & 71.8268406164765025_dp, 71.8267965999041991_dp, 71.8267901031474025_dp, 71.8267895296073959_dp, &
+         & 71.8267782913740973_dp, 71.8267021506766952_dp, 71.8264222492196041_dp, 71.8256761331707025_dp, &
+         & 71.8240432686813932_dp, 71.8209161080824003_dp, 71.8154778564162939_dp, 71.8066879457671945_dp, &
+         & 71.7932760600950957_dp, 71.7737453627889010_dp, 71.7463853583096949_dp, 71.7092945632728060_dp, &
+         & 71.6604128677805932_dp, 71.5975631346512955_dp, 71.5185012173316039_dp, 71.4209731880747967_dp, &
+         & 71.3027781747223059_dp, 71.1618348319331062_dp, 70.9962491502215016_dp, 70.8043810642926985_dp, &
+         & 70.5849071889070956_dp, 70.3368770075752963_dp, 70.0597599798202992_dp, 69.7534813203469071_dp, &
+         & 69.4184446338399965_dp, 69.0555401506468058_dp, 68.6661379815948010_dp, 68.2520665631589054_dp, &
+         & 67.8155772487626933_dp, 67.3592967505568936_dp, 66.8861697667202009_dp, 66.3993945607405038_dp, &
+         & 65.9023544320154997_dp, 65.3985479150958042_dp, 64.8915202049285966_dp, 64.3847978110774051_dp, &
+         & 63.8818279021637991_dp, 63.3859233117160983_dp, 62.9002138014320025_dp, 62.4276039317406983_dp, &
+         & 61.9707377433790967_dp, 61.5319703559518985_dp, 61.1133464918318978_dp, 60.7165858105351006_dp, &
+         & 60.3430747923067017_dp, 59.9938647630823993_dp, 59.6696755349447017_dp, 59.3709040673272028_dp, &
+         & 59.0976375399855982_dp, 58.8496702600682013_dp, 58.6265238845230030_dp, 58.4274705056733978_dp, &
+         & 58.2515582054226968_dp, 58.0976387212808021_dp, 57.9643968802310994_dp, 57.8503814441841016_dp, &
+         & 57.7540369766189983_dp, 57.6737362894498986_dp, 57.6078129689619018_dp, 57.5545934174623000_dp, &
+         & 57.5124277910135007_dp, 57.4797191711002000_dp, 57.4549502865410986_dp, 57.4367071074254980_dp, &
+         & 57.4236986696213023_dp, 57.4147725585169013_dp, 57.4089255836383003_dp, 57.4053093084747985_dp, &
+         & 57.4032302566617005_dp, 57.4021447889620973_dp, 57.4016488263142008_dp, 57.4014627730377001_dp, &
+         & 57.4014121619821012_dp, 57.4014046918942995_dp, 57.4014040927009006_dp, 57.4013930345427994_dp, &
+         & 57.4013181138904969_dp, 57.4010426975900998_dp, 57.4003085384109966_dp, 57.3987018467645029_dp, &
+         & 57.3956248314657032_dp, 57.3902738491674000_dp, 57.3816251669783028_dp, 57.3684291858024977_dp, &
+         & 57.3492137890231035_dp, 57.3222972665585004_dp, 57.2858110120212984_dp, 57.2377318961501018_dp, &
+         & 57.1759238816863018_dp, 57.0981880675653031_dp, 57.0023199446598028_dp, 56.8861722301216020_dp, &
+         & 56.7477212490666005_dp, 56.5851344838754002_dp, 56.3968366495032001_dp, 56.1815715147427994_dp, &
+         & 55.9384567062904026_dp, 55.6670289262873013_dp, 55.3672773903282973_dp, 55.0396638366871969_dp, &
+         & 54.6851281306403010_dp, 54.3050792308737016_dp, 53.9013720248036989_dp, 53.4762712025970970_dp, &
+         & 53.0324038683943968_dp, 52.5727029546795990_dp, 52.1003437194069008_dp, 51.6186756981852000_dp, &
+         & 51.1311524939595969_dp, 50.6412617380217966_dp, 50.1524574479515977_dp, 49.6680968203053013_dp, &
+         & 49.1913832068736028_dp, 48.7253166287960013_dp, 48.2726527062955029_dp, 47.8358703721483991_dp, &
+         & 47.4171482551764996_dp, 47.0183492218398982_dp, 46.6410122861946022_dp, 46.2863509524585979_dp, &
+         & 45.9552570280151969_dp, 45.6483090095364972_dp, 45.3657842659964032_dp, 45.1076743862245024_dp, &
+         & 44.8737031988108015_dp, 44.6633470910401016_dp, 44.4758573419084016_dp, 44.3102842393893965_dp, &
+         & 44.1655027753047023_dp, 44.0402397059828985_dp, 43.9331017379561004_dp, 43.8426045503129984_dp, &
+         & 43.7672023044641989_dp, 43.7053172239181009_dp, 43.6553687577087004_dp, 43.6158017783157987_dp, &
+         & 43.5851132154026999_dp, 43.5618764972926016_dp, 43.5447631687378021_dp, 43.5325610805887990_dp, &
+         & 43.5241886067526025_dp, 43.5187044361557014_dp, 43.5153126094813985_dp, 43.5133626169182008_dp, &
+         & 43.5123445366402990_dp, 43.5118793654286975_dp, 43.5117048633364973_dp, 43.5116573945069973_dp, &
+         & 43.5116503882060996_dp, 43.5116498478127980_dp, 43.5116401440830032_dp, 43.5115743998866975_dp, &
+         & 43.5113327172797000_dp, 43.5106884802823970_dp, 43.5092785838744973_dp, 43.5065784655100032_dp, &
+         & 43.5018829430228990_dp, 43.4942937463886992_dp, 43.4827144953320968_dp, 43.4658537161330969_dp, &
+         & 43.4422363035425008_dp, 43.4102236115164004_dp, 43.3680420949126031_dp, 43.3138201219701031_dp, &
+         & 43.2456322379428997_dp, 43.1615497939270014_dp, 43.0596964794136028_dp, 42.9383069375890969_dp, &
+         & 42.7957863301438977_dp, 42.6307684880267033_dp, 42.4421701701710035_dp, 42.2292389819374989_dp, &
+         & 41.9915926957735977_dp, 41.7292480690525025_dp, 41.4426377493493021_dp, 41.1326144568959009_dp, &
+         & 40.8004422828391995_dp, 40.4477755773284002_dp, 40.0766264638091982_dp, 39.6893224614637035_dp, &
+         & 39.2884560083409013_dp, 38.8768278634963025_dp, 38.4573864587384975_dp, 38.0331653056074970_dp, &
+         & 37.6072205623623006_dp, 37.1825708216886994_dp, 36.7621410577915029_dp, 36.3487124284645020_dp, &
+         & 35.9448792416376008_dp, 35.5530138891580023_dp, 35.1752399922579002_dp, 34.8134134868247003_dp, &
+         & 34.4691109849541988_dp, 34.1436245251951007_dp, 33.8379617616900035_dp, 33.5528507000730016_dp, &
+         & 33.2887482101684000_dp, 33.0458516841569008_dp, 32.8241133337376993_dp, 32.6232567188477987_dp, &
+         & 32.4427951737879994_dp, 32.2820518493270967_dp, 32.1401811264757029_dp, 32.0161911816528004_dp, &
+         & 31.9089674939041004_dp, 31.8172970814080998_dp, 31.7398932357374015_dp, 31.6754204886761990_dp, &
+         & 31.6225195003801005_dp, 31.5798315039952016_dp, 31.5460218869598989_dp, 31.5198024405796993_dp, &
+         & 31.4999517747299009_dp, 31.4853333806282016_dp, 31.4749108369076005_dp, 31.4677596958979002_dp, &
+         & 31.4630756586978997_dp, 31.4601787471865997_dp, 31.4585133039528984_dp, 31.4576437905279001_dp, &
+         & 31.4572465022136996_dp, 31.4570974655784994_dp, 31.4570569239931999_dp, 31.4570509401400003_dp, &
+         & 31.4570504870607017_dp, 31.4570424608060009_dp, 31.4569880817561014_dp, 31.4567881787127988_dp, &
+         & 31.4562553113348002_dp, 31.4550891478723003_dp, 31.4528558197461017_dp, 31.4489720885225985_dp, &
+         & 31.4426950676073993_dp, 31.4331181323178015_dp, 31.4191735240980989_dp, 31.3996420023456011_dp, &
+         & 31.3731697152911018_dp, 31.3382922454832986_dp, 31.2934655343610011_dp, 31.2371031071497995_dp, &
+         & 31.1676187123947983_dp, 31.0834731744884003_dp, 30.9832239530850018_dp, 30.8655756354715010_dp, &
+         & 30.7294293840974007_dp, 30.5739292477216011_dp, 30.3985032420428993_dp, 30.2028972264449003_dp, &
+         & 29.9871998482305990_dp, 29.7518571827674982_dp, 29.4976761448812006_dp, 29.2258162542933988_dp, &
+         & 28.9377698744861007_dp, 28.6353315808445998_dp, 28.3205578250632009_dp, 27.9957185263134996_dp, &
+         & 27.6632426129871014_dp, 27.3256598361522016_dp, 26.9855413482830997_dp, 26.6454415607919017_dp, &
+         & 26.3078436433764011_dp, 25.9751107074193008_dp, 25.6494442486111005_dp, 25.3328508577908984_dp, &
+         & 25.0271176069104015_dp, 24.7337959465534993_dp, 24.4541934716808989_dp, 24.1893725638572015_dp, &
+         & 23.9401547183041004_dp, 23.7071293069903994_dp, 23.4906655911136006_dp, 23.2909269439367996_dp, &
+         & 23.1078864414573992_dp, 22.9413431906332015_dp, 22.7909389667813009_dp, 22.6561749056775987_dp, &
+         & 22.5364281321827988_dp, 22.4309683026969005_dp, 22.3389740947109985_dp, 22.2595496972177003_dp, &
+         & 22.1917413462204998_dp, 22.1345539160651015_dp, 22.0869675260084009_dp, 22.0479540585795988_dp, &
+         & 22.0164934181686007_dp, 21.9915892912122999_dp, 21.9722841095966999_dp, 21.9576728723610017_dp, &
+         & 21.9469154527184998_dp, 21.9392470118792993_dp, 21.9339861606768984_dp, 21.9305405551288999_dp, &
+         & 21.9284096812330986_dp, 21.9271846738853000_dp, 21.9265451193811991_dp, 21.9262529038675993_dp, &
+         & 21.9261432840994992_dp, 21.9261134648985987_dp, 21.9261090636483011_dp, 21.9261087332450018_dp, &
+         & 21.9261029177738003_dp, 21.9260635171212002_dp, 21.9259186764614995_dp, 21.9255325867998998_dp, &
+         & 21.9246876509889006_dp, 21.9230695436955010_dp, 21.9202557850496014_dp, 21.9157083882825994_dp, &
+         & 21.9087710714718007_dp, 21.8986714379546008_dp, 21.8845284230452997_dp, 21.8653651699836011_dp, &
+         & 21.8401273302246999_dp, 21.8077065795274017_dp, 21.7669689033645994_dp, 21.7167869401033009_dp, &
+         & 21.6560753918369002_dp, 21.5838282408432995_dp, 21.4991562701017997_dp, 21.4013232082044986_dp, &
+         & 21.2897787314768010_dp, 21.1641865841835006_dp, 21.0244462375599994_dp, 20.8707068032470993_dp, &
+         & 20.7033723334158992_dp, 20.5230981481320001_dp, 20.3307783844479992_dp, 20.1275255050553987_dp, &
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+         & 0.5889751118684931_dp, 0.5824612896940951_dp, 0.5764290054246570_dp, 0.5708819569151160_dp, &
+         & 0.5658184805819100_dp, 0.5612318895450980_dp, 0.5571108543624920_dp, 0.5534398221533650_dp, &
+         & 0.5501994703736131_dp, 0.5473671915938350_dp, 0.5449176053517280_dp, 0.5428230925244150_dp, &
+         & 0.5410543467364870_dp, 0.5395809361492350_dp, 0.5383718676597340_dp, 0.5373961441855070_dp, &
+         & 0.5366233044569810_dp, 0.5360239337263830_dp, 0.5355701331678090_dp, 0.5352359356128890_dp, &
+         & 0.5349976557312170_dp, 0.5348341638812431_dp, 0.5347270746195530_dp, 0.5346608432218430_dp, &
+         & 0.5346227664258980_dp, 0.5346028868142700_dp, 0.5345938036343800_dp, 0.5345903962165860_dp, &
+         & 0.5345894693160320_dp, 0.5345893325074370_dp, 0.5345893218320300_dp, 0.5345891285361120_dp, &
+         & 0.5345878189281310_dp, 0.5345830046733080_dp, 0.5345701716577480_dp, 0.5345420870196310_dp, &
+         & 0.5344883019709810_dp, 0.5343947705495250_dp, 0.5342436022044980_dp, 0.5340129635051060_dp, &
+         & 0.5336771411725040_dp, 0.5332067749358770_dp, 0.5325692642576740_dp, 0.5317293476518330_dp, &
+         & 0.5306498470855130_dp, 0.5292925628851890_dp, 0.5276192968843390_dp, 0.5255929736483300_dp, &
+         & 0.5231788220517760_dp, 0.5203455729672160_dp, 0.5170666241054820_dp, 0.5133211208599560_dp, &
+         & 0.5090949029206800_dp, 0.5043812707474870_dp, 0.4991815336726400_dp, 0.4935053119918390_dp, &
+         & 0.4873705780792650_dp, 0.4808034352252690_dp, 0.4738376463323850_dp, 0.4665139366488940_dp, &
+         & 0.4588791044400440_dp, 0.4509849803086750_dp, 0.4428872795953400_dp, 0.4346443930924410_dp, &
+         & 0.4263161596511220_dp, 0.4179626607297140_dp, 0.4096430721319560_dp, 0.4014146026218550_dp, &
+         & 0.3933315431603010_dp, 0.3854444444470320_dp, 0.3777994344350050_dp, 0.3704376816573500_dp, &
+         & 0.3633950047122170_dp, 0.3567016232671140_dp, 0.3503820416648440_dp, 0.3444550528250970_dp, &
+         & 0.3389338477824000_dp, 0.3338262149474080_dp, 0.3291348130025110_dp, 0.3248575021183200_dp, &
+         & 0.3209877197098480_dp, 0.3175148889796590_dp, 0.3144248507486080_dp, 0.3117003112765250_dp, &
+         & 0.3093213006985420_dp, 0.3072656381612970_dp, 0.3055094006307400_dp, 0.3040273926164190_dp, &
+         & 0.3027936137479660_dp, 0.3017817203421910_dp, 0.3009654759582650_dp, 0.3003191846330250_dp, &
+         & 0.2998180992176320_dp, 0.2994387961930870_dp, 0.2991595077015320_dp, 0.2989604014259020_dp, &
+         & 0.2988237994688210_dp, 0.2987343285447820_dp, 0.2986789955726150_dp, 0.2986471850441460_dp, &
+         & 0.2986305772079870_dp, 0.2986229889793890_dp, 0.2986201423775440_dp, 0.2986193680332290_dp, &
+         & 0.2986192537416770_dp, 0.2986192447474280_dp, 0.2986190809193520_dp, 0.2986179709605210_dp, &
+         & 0.2986138906424430_dp, 0.2986030140736910_dp, 0.2985792112793890_dp, 0.2985336272703880_dp, &
+         & 0.2984543600202160_dp, 0.2983262530743640_dp, 0.2981308165239510_dp, 0.2978462876702680_dp, &
+         & 0.2974478397334790_dp, 0.2969079432639030_dp, 0.2961968803676600_dp, 0.2952834064024470_dp, &
+         & 0.2941355474812470_dp, 0.2927215151208740_dp, 0.2910107120158900_dp, 0.2889747956814830_dp, &
+         & 0.2865887601748800_dp, 0.2838319909333930_dp, 0.2806892446073590_dp, 0.2771515051879310_dp, &
+         & 0.2732166701399450_dp, 0.2688900258167880_dp, 0.2641844800572100_dp, 0.2591205311458820_dp, &
+         & 0.2537259656037780_dp, 0.2480352916816030_dp, 0.2420889299421700_dp, 0.2359321958624610_dp, &
+         & 0.2296141209109660_dp, 0.2231861671551910_dp, 0.2167008954045710_dp, 0.2102106477894670_dp, &
+         & 0.2037663024415370_dp, 0.1974161508850760_dp, 0.1912049385504990_dp, 0.1851730964490060_dp, &
+         & 0.1793561786701190_dp, 0.1737845071867100_dp, 0.1684830135864250_dp, 0.1634712576677800_dp, &
+         & 0.1587635959071750_dp, 0.1543694688253790_dp, 0.1502937751497630_dp, 0.1465373019979380_dp, &
+         & 0.1430971835557670_dp, 0.1399673652570780_dp, 0.1371390556800520_dp, 0.1346011537026040_dp, &
+         & 0.1323406434713800_dp, 0.1303429541127340_dp, 0.1285922846529250_dp, 0.1270718972179590_dp, &
+         & 0.1257643832372250_dp, 0.1246519081259690_dp, 0.1237164398621930_dp, 0.1229399661292800_dp, &
+         & 0.1223047034172140_dp, 0.1217932998275590_dp, 0.1213890314914320_dp, 0.1210759906651480_dp, &
+         & 0.1208392618943460_dp, 0.1206650812922450_dp, 0.1205409730942360_dp, 0.1204558573185890_dp, &
+         & 0.1204001226202250_dp, 0.1203656592591930_dp, 0.1203458484452400_dp, 0.1203355060521720_dp, &
+         & 0.1203307806728730_dp, 0.1203290080434980_dp, 0.1203285258475400_dp, 0.1203284546765100_dp, &
+         & 0.1203284490260900_dp, 0.1203283454748170_dp, 0.1203276439011200_dp, 0.1203250648623850_dp, &
+         & 0.1203181902493210_dp, 0.1203031461248120_dp, 0.1202743378847090_dp, 0.1202242496834320_dp, &
+         & 0.1201433195293330_dp, 0.1200199007600130_dp, 0.1198403195712670_dp, 0.1195890366589510_dp, &
+         & 0.1192489185933140_dp, 0.1188016210609960_dp, 0.1182280814459920_dp, 0.1175091123750180_dp, &
+         & 0.1166260810037300_dp, 0.1155616513455440_dp, 0.1143005594377800_dp, 0.1128303843656510_dp, &
+         & 0.1111422730019740_dp, 0.1092315736619160_dp, 0.1070983344937280_dp, 0.1047476268555840_dp, &
+         & 0.1021896623149560_dp, 0.0994396839356568_dp, 0.0965176273665378_dp, 0.0934475636371701_dp, &
+         & 0.0902569518797378_dp, 0.0869757446742199_dp, 0.0836353996978119_dp, 0.0802678575572173_dp, &
+         & 0.0769045463687377_dp, 0.0735754688218293_dp, 0.0703084178174436_dp, 0.0671283536347005_dp, &
+         & 0.0640569606418637_dp, 0.0611123866301142_dp, 0.0583091545236272_dp, 0.0556582257120084_dp, &
+         & 0.0531671872248296_dp, 0.0508405315400182_dp, 0.0486799976365830_dp, 0.0466849443010346_dp, &
+         & 0.0448527308577127_dp, 0.0431790856032848_dp, 0.0416584475820656_dp, 0.0402842724082291_dp, &
+         & 0.0390492972823040_dp, 0.0379457639821368_dp, 0.0369656013904915_dp, 0.0361005710970801_dp, &
+         & 0.0353423808798539_dp, 0.0346827715443538_dp, 0.0341135827996055_dp, 0.0336268036768956_dp, &
+         & 0.0332146125412152_dp, 0.0328694110738468_dp, 0.0325838557762239_dp, 0.0323508896069313_dp, &
+         & 0.0321637753654898_dp, 0.0320161314254506_dp, 0.0319019694490805_dp, 0.0318157328421194_dp, &
+         & 0.0317523339864181_dp, 0.0317071877722981_dp, 0.0316762386783438_dp, 0.0316559786380139_dp, &
+         & 0.0316434531876553_dp, 0.0316362538832067_dp, 0.0316324956574050_dp, 0.0316307785980285_dp, &
+         & 0.0316301344867611_dp, 0.0316299592744969_dp, 0.0316299334135834_dp, 0.0316299313416124_dp, &
+         & 0.0316298931338395_dp, 0.0316296342715390_dp, 0.0316286826804912_dp, 0.0316261461967144_dp, &
+         & 0.0316205957151681_dp, 0.0316099679906756_dp, 0.0315914928953021_dp, 0.0315616499611764_dp, &
+         & 0.0315161590132078_dp, 0.0314500095008867_dp, 0.0313575326118070_dp, 0.0312325192324465_dp, &
+         & 0.0310683851570985_dp, 0.0308583825416804_dp, 0.0305958534530077_dp, 0.0302745175989401_dp, &
+         & 0.0298887822193876_dp, 0.0294340581017991_dp, 0.0289070623060894_dp, 0.0283060860568014_dp, &
+         & 0.0276312059507973_dp, 0.0268844185534789_dp, 0.0260696827639322_dp, 0.0251928608132062_dp, &
+         & 0.0242615568475344_dp, 0.0232848608363696_dp, 0.0222730139415717_dp, 0.0212370183814699_dp, &
+         & 0.0201882193001808_dp, 0.0191378876559583_dp, 0.0180968315624170_dp, 0.0170750592236004_dp, &
+         & 0.0160815103298830_dp, 0.0151238654791115_dp, 0.0142084358501791_dp, 0.0133401288315866_dp, &
+         & 0.0125224802182942_dp, 0.0117577402370301_dp, 0.0110469990797526_dp, 0.0103903376108008_dp, &
+         & 0.0097869901226772_dp, 0.0092355080398931_dp, 0.0087339159111224_dp, 0.0082798535515280_dp, &
+         & 0.0078707005415453_dp, 0.0075036813006335_dp, 0.0071759505516553_dp, 0.0068846601684669_dp, &
+         & 0.0066270091852942_dp, 0.0064002792056499_dp, 0.0062018576463601_dp, 0.0060292512620066_dp, &
+         & 0.0058800922702318_dp, 0.0057521391929640_dp, 0.0056432742736945_dp, 0.0055514990517622_dp, &
+         & 0.0054749293856418_dp, 0.0054117909259190_dp, 0.0053604157499620_dp, 0.0053192405882498_dp, &
+         & 0.0052868068007541_dp, 0.0052617620090558_dp, 0.0052428630629606_dp, 0.0052289798326939_dp, &
+         & 0.0052190991787171_dp, 0.0052123283707743_dp, 0.0052078972136798_dp, 0.0052051581882466_dp, &
+         & 0.0052035840290898_dp, 0.0052027623236199_dp, 0.0052023869132398_dp, 0.0052022460893255_dp, &
+         & 0.0052022077823182_dp, 0.0052022021282880_dp, 0.0052022016710254_dp, 0.0052021931856672_dp, &
+         & 0.0052021356964076_dp, 0.0052019243643855_dp, 0.0052013610658008_dp, 0.0052001284784637_dp, &
+         & 0.0051977686074594_dp, 0.0051936669028549_dp, 0.0051870431753827_dp, 0.0051769505597150_dp, &
+         & 0.0051622837703462_dp, 0.0051417977880845_dp, 0.0051141378578024_dp, 0.0050778812140209_dp, &
+         & 0.0050315902548590_dp, 0.0049738759536808_dp, 0.0049034691783021_dp, 0.0048192963765672_dp, &
+         & 0.0047205549339822_dp, 0.0046067826047818_dp, 0.0044779149622656_dp, 0.0043343249864307_dp, &
+         & 0.0041768398132689_dp, 0.0040067313105539_dp, 0.0038256793884415_dp, 0.0036357095410295_dp, &
+         & 0.0034391087005190_dp, 0.0032383256895372_dp, 0.0030358640467085_dp, 0.0028341755594567_dp, &
+         & 0.0026355624014514_dp, 0.0024420944505294_dp, 0.0022555463977767_dp, 0.0020773569847279_dp, &
+         & 0.0019086104687460_dp, 0.0017500385182672_dp, 0.0016020393733527_dp, 0.0014647103410823_dp, &
+         & 0.0013378894807801_dp, 0.0012212025419274_dp, 0.0011141117087590_dp, 0.0010159633548028_dp, &
+         & 0.0009260327079090_dp, 0.0008435639925040_dp, 0.0007678051716624_dp, 0.0006980367796814_dp, &
+         & 0.0006335945470397_dp, 0.0005738857188220_dp, 0.0005183991900566_dp, 0.0004667097617812_dp, &
+         & 0.0004184770198634_dp, 0.0003734396422885_dp, 0.0003314062059161_dp, 0.0002922436280528_dp, &
+         & 0.0002558642948571_dp, 0.0002222128421892_dp, 0.0001912534612671_dp, 0.0001629584424165_dp, &
+         & 1.3729844884835499e-04_dp, 1.1423478530048200e-04_dp, 9.3713728020361500e-05_dp, 7.5662820080424394e-05_dp, &
+         & 5.9988920313003298e-05_dp, 4.6577727431440501e-05_dp, 3.5294483978986998e-05_dp, 2.5985585466514702e-05_dp, &
+         & 1.8480862408409801e-05_dp, 1.2596355659866300e-05_dp, 8.1374603411177304e-06_dp, 4.9023626473854199e-06_dp, &
+         & 2.6857448602868300e-06_dp, 1.2827860302877500e-06_dp, 4.9356222575624997e-07_dp, 0.0000000000000000e+00_dp, &
+         & 0.0000000000000000_dp &
+         &]
+      case (90)
+         out = [&
+         & 90.0000000000000000_dp, 89.9999998925484022_dp, 89.9999965699330033_dp, 89.9999740586855950_dp, &
+         & 89.9998913043740032_dp, 89.9996707072712070_dp, 89.9991879131181065_dp, 89.9982632172367971_dp, &
+         & 89.9966548901297045_dp, 89.9940546725942028_dp, 89.9900856206528061_dp, 89.9843024082368999_dp, &
+         & 89.9761941221455004_dp, 89.9651895132051038_dp, 89.9506646036064978_dp, 89.9319524962882042_dp, &
+         & 89.9083551899129958_dp, 89.8791571724355975_dp, 89.8436405450887037_dp, 89.8011014119189070_dp, &
+         & 89.7508672509703018_dp, 89.6923149543618052_dp, 89.6248891796177958_dp, 89.5481205910054001_dp, &
+         & 89.4616434901321043_dp, 89.3652122491702983_dp, 89.2587158835453067_dp, 89.1421900535577976_dp, &
+         & 89.0158257862650970_dp, 88.8799742756028053_dp, 88.7351472569189070_dp, 88.5820126567482049_dp, &
+         & 88.4213854725472999_dp, 88.2542141132138056_dp, 88.0815626974846992_dp, 87.9045900326609058_dp, &
+         & 87.7245261561059948_dp, 87.5426474029671056_dp, 87.3602509642262959_dp, 87.1786298295055957_dp, &
+         & 86.9990488871212051_dp, 86.8227228016893946_dp, 86.6507961287013018_dp, 86.4843259737000949_dp, &
+         & 86.3242673730777028_dp, 86.1714614699609029_dp, 86.0266264826487941_dp, 85.8903514111676998_dp, &
+         & 85.7630923940852057_dp, 85.6451716065325002_dp, 85.5367785757005947_dp, 85.4379737773871000_dp, &
+         & 85.3486943634263042_dp, 85.2687618533495026_dp, 85.1978916038838037_dp, 85.1357038472267931_dp, &
+         & 85.0817360643536063_dp, 85.0354564342000003_dp, 84.9962780749294069_dp, 84.9635737712602008_dp, &
+         & 84.9366908636684030_dp, 84.9149659628513973_dp, 84.8977391476871048_dp, 84.8843673084212043_dp, &
+         & 84.8742363100299997_dp, 84.8667716743137959_dp, 84.8614475134475015_dp, 84.8577934920616030_dp, &
+         & 84.8553996484565971_dp, 84.8539189666972931_dp, 84.8530676580136998_dp, 84.8526231796785027_dp, &
+         & 84.8524200896357996_dp, 84.8523439028664939_dp, 84.8523231781535969_dp, 84.8523201192270022_dp, &
+         & 84.8523197179603983_dp, 84.8523103689290963_dp, 84.8522470278532950_dp, 84.8520141791527038_dp, &
+         & 84.8513934884306025_dp, 84.8500351139646938_dp, 84.8474336336912955_dp, 84.8429095416890959_dp, &
+         & 84.8355971485016056_dp, 84.8244395811288001_dp, 84.8081914187529975_dp, 84.7854293156890009_dp, &
+         & 84.7545707497844063_dp, 84.7139007895869014_dp, 84.6616064962197044_dp, 84.5958182687037947_dp, &
+         & 84.5146571118554988_dp, 84.4162864672930056_dp, 84.2989669211521999_dp, 84.1611118153489031_dp, &
+         & 84.0013415785019930_dp, 83.8185344980176978_dp, 83.6118717138098049_dp, 83.3808744505650026_dp, &
+         & 83.1254319164451942_dp, 82.8458188411440943_dp, 82.5427022255500020_dp, 82.2171374236765047_dp, &
+         & 81.8705540750365941_dp, 81.5047325988307989_dp, 81.1217719792933991_dp, 80.7240495350038998_dp, &
+         & 80.3141734496066988_dp, 79.8949291934518016_dp, 79.4692215981196028_dp, 79.0400150757837991_dp, &
+         & 78.6102749692565936_dp, 78.1829129582162068_dp, 77.7607387338779006_dp, 77.3464190034318051_dp, &
+         & 76.9424437212174013_dp, 76.5510986600681065_dp, 76.1744431983995014_dp, 75.8142924096786999_dp, &
+         & 75.4722029602179987_dp, 75.1494627174714935_dp, 74.8470842135484986_dp, 74.5658021754855014_dp, &
+         & 74.3060752704993064_dp, 74.0680920863027978_dp, 73.8517812276612062_dp, 73.6568252921879036_dp, &
+         & 73.4826784017332955_dp, 73.3285869078200960_dp, 73.1936128514161055_dp, 73.0766597289705970_dp, &
+         & 72.9765000902133067_dp, 72.8918044641780938_dp, 72.8211710770697067_dp, 72.7631557906090052_dp, &
+         & 72.7163016561155047_dp, 72.6791674528334966_dp, 72.6503545643916055_dp, 72.6285315500416999_dp, &
+         & 72.6124557918551972_dp, 72.6009916483195070_dp, 72.5931246199754980_dp, 72.5879711330508002_dp, &
+         & 72.5847836696461997_dp, 72.5829511132458975_dp, 72.5819943300206063_dp, 72.5815571624662965_dp, &
+         & 72.5813931649507964_dp, 72.5813485535679064_dp, 72.5813419690181973_dp, 72.5813413877278037_dp, &
+         & 72.5813299976285009_dp, 72.5812528280170000_dp, 72.5809691441651950_dp, 72.5802129456591985_dp, &
+         & 72.5785580160545010_dp, 72.5753885984846931_dp, 72.5698768627347022_dp, 72.5609681853469937_dp, &
+         & 72.5473750975504004_dp, 72.5275805629323997_dp, 72.4998510230996942_dp, 72.4622593901764986_dp, &
+         & 72.4127178664456039_dp, 72.3490201336015986_dp, 72.2688920819046956_dp, 72.1700498544195028_dp, &
+         & 72.0502635819749031_dp, 71.9074248054978966_dp, 71.7396152535706051_dp, 71.5451743955140955_dp, &
+         & 71.3227630526996990_dp, 71.0714203457735039_dp, 70.7906113972312028_dp, 70.4802635023097963_dp, &
+         & 70.1407889229580945_dp, 69.7730930380999013_dp, 69.3785672774254039_dp, 68.9590670409552047_dp, &
+         & 68.5168756098666023_dp, 68.0546558132588046_dp, 67.5753918454554992_dp, 67.0823240471908946_dp, &
+         & 66.5788796154500062_dp, 66.0686020807770973_dp, 65.5550820320507057_dp, 65.0418910669321946_dp, &
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+         & 0.0005241441804458_dp, 0.0005203140896839_dp, 0.0005174298686086_dp, 0.0005153145181822_dp, &
+         & 0.0005138108439979_dp, 0.0005127813308547_dp, 0.0005121079664008_dp, 0.0005116919010959_dp, &
+         & 0.0005114528381256_dp, 0.0005113280644196_dp, 0.0005112710631323_dp, 0.0005112496814235_dp, &
+         & 0.0005112438652048_dp, 0.0005112430067555_dp, 0.0005112429373497_dp, 0.0005112416494342_dp, &
+         & 0.0005112329236283_dp, 0.0005112008476686_dp, 0.0005111153525519_dp, 0.0005109282872837_dp, &
+         & 0.0005105701833941_dp, 0.0005099479028985_dp, 0.0005089433841334_dp, 0.0005074137215075_dp, &
+         & 0.0005051928351349_dp, 0.0005020949924415_dp, 0.0004979204221627_dp, 0.0004924631827521_dp, &
+         & 0.0004855212690842_dp, 0.0004769086339707_dp, 0.0004664684148565_dp, 0.0004540863445897_dp, &
+         & 0.0004397031956955_dp, 0.0004233249983088_dp, 0.0004050294497802_dp, 0.0003849668248961_dp, &
+         & 0.0003633551179263_dp, 0.0003404725499507_dp, 0.0003166515013220_dp, 0.0002922707628557_dp, &
+         & 0.0002677370789002_dp, 0.0002434563243412_dp, 0.0002198048016311_dp, 0.0001971070306581_dp, &
+         & 0.0001756241283886_dp, 0.0001555575800580_dp, 0.0001370602523423_dp, 0.0001202326640311_dp, &
+         & 1.0509986822171400e-04_dp, 9.1592800984585706e-05_dp, 7.9559264975159695e-05_dp, 6.8816299531704303e-05_dp, &
+         & 5.9224832227755501e-05_dp, 5.0730572809243299e-05_dp, 4.3323028222630503e-05_dp, 3.6936649493668503e-05_dp, &
+         & 3.1408434608692901e-05_dp, 2.6422123795555301e-05_dp, 2.1541238368172300e-05_dp, 1.6867852636437399e-05_dp, &
+         & 1.2456335838351200e-05_dp, 8.3510745128023700e-06_dp, 4.7935563998180399e-06_dp, 1.9337834089583301e-06_dp, &
+         & 1.3187842569095701e-06_dp, 1.0725858174964700e-06_dp, 3.6870856945370200e-07_dp, 1.0188050367787599e-06_dp, &
+         & 1.1912650137446700e-06_dp, 1.1108067496934401e-06_dp, 9.3960112224067405e-07_dp, 7.8758087340702300e-07_dp, &
+         & 7.0106288774240997e-07_dp, 6.6991978542318996e-07_dp, 6.5564455553612799e-07_dp, 6.2710971349133605e-07_dp, &
+         & 5.7323320845625900e-07_dp, 4.9743269414648197e-07_dp, 4.0949046820060202e-07_dp, 3.1989650040031800e-07_dp, &
+         & -1.4210854715202001e-14_dp, -4.2632564145605999e-14_dp, -4.2632564145605999e-14_dp, -2.8421709430404001e-14_dp, &
+         & -2.8421709430404001e-14_dp, -1.4210854715202001e-14_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, &
+         & -1.4210854715202001e-14_dp &
+         &]
+      case (91)
+         out = [&
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+         & 85.7710698049812947_dp, 85.7709924662101031_dp, 85.7709714281238007_dp, 85.7709683229440003_dp, &
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+         & 77.7440409898273970_dp, 77.3469795250168062_dp, 76.9648182784910944_dp, 76.5993991555675962_dp, &
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+         & 74.2336418169817023_dp, 74.0772966723319968_dp, 73.9403493669362035_dp, 73.8216871113812942_dp, &
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+         & 73.4560671183526068_dp, 73.4183910822074068_dp, 73.3891578330806027_dp, 73.3670164674310001_dp, &
+         & 73.3507062158495984_dp, 73.3390748566958024_dp, 73.3310930845916999_dp, 73.3258644339667001_dp, &
+         & 73.3226304821326949_dp, 73.3207711985847936_dp, 73.3198004611138998_dp, 73.3193569176885944_dp, &
+         & 73.3191905283540990_dp, 73.3191452663374008_dp, 73.3191385857554963_dp, 73.3191379959873046_dp, &
+         & 73.3191264397694056_dp, 73.3190481446797975_dp, 73.3187603234514995_dp, 73.3179930962201070_dp, &
+         & 73.3163140305255041_dp, 73.3130983894788955_dp, 73.3075062707873002_dp, 73.2984676733970986_dp, &
+         & 73.2846763594234005_dp, 73.2645931834796045_dp, 73.2364593346773063_dp, 73.1983196734650932_dp, &
+         & 73.1480560425852957_dp, 73.0834300885933033_dp, 73.0021347525668034_dp, 72.9018531873472000_dp, &
+         & 72.7803234525521958_dp, 72.6354069529374016_dp, 72.4651582504534986_dp, 72.2678936271429961_dp, &
+         & 72.0422556342412008_dp, 71.7872708561078952_dp, 71.5023982612309936_dp, 71.1875658126778035_dp, &
+         & 70.8431934642718062_dp, 70.4702012646591953_dp, 70.0700020066004043_dp, 69.6444786554545061_dp, &
+         & 69.1959476117047956_dp, 68.7271096306950966_dp, 68.2409908502738034_dp, 67.7408767818423030_dp, &
+         & 67.2302422498531058_dp, 66.7126801156421010_dp, 66.1918312458087001_dp, 65.6713176790545958_dp, &
+         & 65.1546804201287983_dp, 64.6453228387987053_dp, 64.1464603246353988_dp, 63.6610766412217970_dp, &
+         & 63.1918872923876975_dp, 62.7413101008944025_dp, 62.3114430634133996_dp, 61.9040493722857974_dp, &
+         & 61.5205493025898988_dp, 61.1620184873793988_dp, 60.8291919775979011_dp, 60.5224734236886022_dp, &
+         & 60.2419487212294982_dp, 59.9874035158398016_dp, 59.7583440392989971_dp, 59.5540208267123035_dp, &
+         & 59.3734549270182015_dp, 59.2154662568077015_dp, 59.0787037572620974_dp, 58.9616769974887021_dp, &
+         & 58.8627888289829997_dp, 58.7803686413827009_dp, 58.7127057061373989_dp, 58.6580820298446000_dp, &
+         & 58.6148040807291011_dp, 58.5812327079078017_dp, 58.5558105509511009_dp, 58.5370862429112009_dp, &
+         & 58.5237347477897032_dp, 58.5145732454488012_dp, 58.5085720827224023_dp, 58.5048604457274024_dp, &
+         & 58.5027265693813021_dp, 58.5016124780592008_dp, 58.5011034369788021_dp, 58.5009124775206004_dp, &
+         & 58.5008605318636015_dp, 58.5008528647913977_dp, 58.5008522497973971_dp, 58.5008409000382983_dp, &
+         & 58.5007640037470011_dp, 58.5004813247903002_dp, 58.4997278060519008_dp, 58.4980787465638983_dp, &
+         & 58.4949205920876025_dp, 58.4894285090390014_dp, 58.4805517730900988_dp, 58.4670078427822020_dp, &
+         & 58.4472858008232024_dp, 58.4196596254750986_dp, 58.3822114953367972_dp, 58.3328650281584018_dp, &
+         & 58.2694280068685018_dp, 58.1896437580246015_dp, 58.0912499308064980_dp, 57.9720429979309984_dp, &
+         & 57.8299463909957012_dp, 57.6630798259487989_dp, 57.4698271077975988_dp, 57.2488995652479034_dp, &
+         & 56.9993922881438024_dp, 56.7208305442754011_dp, 56.4132041409056981_dp, 56.0769880519267971_dp, &
+         & 55.7131483122456004_dp, 55.3231329252587969_dp, 54.9088482650092971_dp, 54.4726221136657003_dp, &
+         & 54.0171550086795023_dp, 53.5454619634764981_dp, 53.0608068810473981_dp, 52.5666321278873028_dp, &
+         & 52.0664858002133002_dp, 51.5639492012068033_dp, 51.0625669425702000_dp, 50.5657818623216997_dp, &
+         & 50.0768765996676990_dp, 49.5989231988504002_dp, 49.1347415690178977_dp, 48.6868670698937009_dp, &
+         & 48.2575269912813027_dp, 47.8486253028936019_dp, 47.4617347990999008_dp, 47.0980956521732992_dp, &
+         & 46.7586193956220981_dp, 46.4438974509128997_dp, 46.1542134480149997_dp, 45.8895587393515996_dp, &
+         & 45.6496506437703005_dp, 45.4339530678184005_dp, 45.2416992299587974_dp, 45.0719162590403002_dp, &
+         & 44.9234514540452992_dp, 44.7949999818630999_dp, 44.6851337579198002_dp, 44.5923312054167980_dp, &
+         & 44.5150075275140011_dp, 44.4515450584593026_dp, 44.4003231906024993_dp, 44.3597473112869025_dp, &
+         & 44.3282761339874014_dp, 44.3044467787406973_dp, 44.2868969540212021_dp, 44.2743836203077024_dp, &
+         & 44.2657975771057011_dp, 44.2601735099706985_dp, 44.2566951592932014_dp, 44.2546954228010989_dp, &
+         & 44.2536513713558008_dp, 44.2531743336226029_dp, 44.2529953799754026_dp, 44.2529467002137977_dp, &
+         & 44.2529395151818008_dp, 44.2529389610029966_dp, 44.2529290097306003_dp, 44.2528615883962999_dp, &
+         & 44.2526137404492985_dp, 44.2519530688956024_dp, 44.2505072057429985_dp, 44.2477382063000988_dp, &
+         & 44.2429228976024973_dp, 44.2351400907507966_dp, 44.2232654278965001_dp, 44.2059744718389993_dp, &
+         & 44.1817544539541984_dp, 44.1489248684051034_dp, 44.1056668326319965_dp, 44.0500608246061987_dp, &
+         & 43.9801320600693018_dp, 43.8939023985219023_dp, 43.7894472832911035_dp, 43.6649558543844023_dp, &
+         & 43.5187920549521010_dp, 43.3495543182454028_dp, 43.1561313061472021_dp, 42.9377512005450015_dp, &
+         & 42.6940222409392973_dp, 42.4249625548703975_dp, 42.1310178215434021_dp, 41.8130659038913990_dp, &
+         & 41.4724082263767002_dp, 41.1107483058975021_dp, 40.7301584084172035_dp, 40.3330357692162025_dp, &
+         & 39.9220501692339980_dp, 39.5000849155075002_dp, 39.0701734526263991_dp, 38.6354339494704035_dp, &
+         & 38.1990042531577032_dp, 37.7639795458075014_dp, 37.3333548343236004_dp, 36.9099740223882975_dp, &
+         & 36.4964867765175001_dp, 36.0953137769050016_dp, 35.7086203441637977_dp, 35.3382979543408027_dp, &
+         & 34.9859528545557978_dp, 34.6529008724127010_dp, 34.3401675315264967_dp, 34.0484926820958975_dp, &
+         & 33.7783389749415974_dp, 33.5299036157917030_dp, 33.3031329213315033_dp, 33.0977392617341977_dp, &
+         & 32.9132200237618022_dp, 32.7488782707509998_dp, 32.6038448134245016_dp, 32.4771014369289972_dp, &
+         & 32.3675050508146001_dp, 32.2738125355026000_dp, 32.1947060483069976_dp, 32.1288185238973014_dp, &
+         & 32.0747590607339035_dp, 32.0311378315902999_dp, 31.9965900998804997_dp, 31.9697988723672992_dp, &
+         & 31.9495156812335992_dp, 31.9345789719891009_dp, 31.9239295840455988_dp, 31.9166228515342993_dp, &
+         & 31.9118369237653994_dp, 31.9088770055567998_dp, 31.9071753427049991_dp, 31.9062869202391006_dp, &
+         & 31.9058809924252991_dp, 31.9057287148474984_dp, 31.9056872916502989_dp, 31.9056811776729994_dp, &
+         & 31.9056807147410986_dp, 31.9056725139488009_dp, 31.9056169523820010_dp, 31.9054127023045986_dp, &
+         & 31.9048682475065988_dp, 31.9036767261561991_dp, 31.9013948380816004_dp, 31.8974266714746015_dp, &
+         & 31.8910132094934013_dp, 31.8812281670361983_dp, 31.8669806780548015_dp, 31.8470251987915987_dp, &
+         & 31.8199788066518003_dp, 31.7843458537533010_dp, 31.7385496770912994_dp, 31.6809707767080013_dp, &
+         & 31.6099905578849985_dp, 31.5240394080273987_dp, 31.4216475643890014_dp, 31.3014969505601997_dp, &
+         & 31.1624719453575985_dp, 31.0037069240265986_dp, 30.8246284001733990_dp, 30.6249897109414988_dp, &
+         & 30.4048964301125011_dp, 30.1648210550503002_dp, 29.9056059745598013_dp, 29.6284542594679010_dp, &
+         & 29.3349083960927004_dp, 29.0268176737998012_dp, 28.7062955104265995_dp, 28.3756685211830018_dp, &
+         & 28.0374195726808999_dp, 27.6941273765630989_dp, 27.3484053305327990_dp, 27.0028422807146988_dp, &
+         & 26.6599476479558000_dp, 26.3221029463153009_dp, 25.9915211656839986_dp, 25.6702148551763010_dp, &
+         & 25.3599731036698017_dp, 25.0623470399025017_dp, 24.7786430226335987_dp, 24.5099223933836008_dp, &
+         & 24.2570065258199001_dp, 24.0204859097718995_dp, 23.8007321215070000_dp, 23.5979117158458997_dp, &
+         & 23.4120012915643017_dp, 23.2428031974040010_dp, 23.0899615391978017_dp, 22.9529783057283012_dp, &
+         & 22.8312295465800013_dp, 22.7239816096778995_dp, 22.6304074832217985_dp, 22.5496032917667009_dp, &
+         & 22.4806049752608992_dp, 22.4224051388600003_dp, 22.3739700059863011_dp, 22.3342563429960990_dp, &
+         & 22.3022281565346994_dp, 22.2768728998998000_dp, 22.2572168681876015_dp, 22.2423394191614001_dp, &
+         & 22.2313856325470987_dp, 22.2235770186610999_dp, 22.2182199102650983_dp, 22.2147112197724006_dp, &
+         & 22.2125413158073997_dp, 22.2112938650163017_dp, 22.2106425915524994_dp, 22.2103450212160993_dp, &
+         & 22.2102333926150983_dp, 22.2102030269577995_dp, 22.2101985450515009_dp, 22.2101982085934004_dp, &
+         & 22.2101922865494998_dp, 22.2101521638493011_dp, 22.2100046688352997_dp, 22.2096115034010992_dp, &
+         & 22.2087510812243991_dp, 22.2071033110487015_dp, 22.2042379538745998_dp, 22.1996071211247994_dp, &
+         & 22.1925424079584985_dp, 22.1822570674864998_dp, 22.1678535218029005_dp, 22.1483363682597982_dp, &
+         & 22.1226308690715996_dp, 22.0896067065865012_dp, 22.0481065471220994_dp, 21.9969786905250011_dp, &
+         & 21.9351128045205002_dp, 21.8614774729942987_dp, 21.7751580516450005_dp, 21.6753931522267997_dp, &
+         & 21.5616079968175995_dp, 21.4334429204096004_dp, 21.2907754682970989_dp, 21.1337348350450007_dp, &
+         & 20.9627078082987985_dp, 20.7783358802052014_dp, 20.5815037240341994_dp, 20.3733197475387016_dp, &
+         & 20.1550898716861013_dp, 19.9282859979127984_dp, 19.6945107924445999_dp, 19.4554604305889001_dp, &
+         & 19.2128868299063988_dp, 18.9685606999340983_dp, 18.7242364960489986_dp, 18.4816201290367985_dp, &
+         & 18.2423400766117005_dp, 18.0079223744067995_dp, 17.7797698199114009_dp, 17.5591455833951002_dp, &
+         & 17.3471612687215000_dp, 17.1447693008549997_dp, 16.9527593480463992_dp, 16.7717583380296986_dp, &
+         & 16.6022335229729983_dp, 16.4444980030215007_dp, 16.2987181350743988_dp, 16.1649223209918986_dp, &
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+         & 0.3481927566829060_dp, 0.3480831338450230_dp, 0.3480113390158410_dp, 0.3479669399113450_dp, &
+         & 0.3479414159281330_dp, 0.3479280904257110_dp, 0.3479220019659690_dp, 0.3479197179862300_dp, &
+         & 0.3479190966894810_dp, 0.3479190049874030_dp, 0.3479189978317550_dp, 0.3479188682665750_dp, &
+         & 0.3479179904442450_dp, 0.3479147634879210_dp, 0.3479061616952490_dp, 0.3478873373292400_dp, &
+         & 0.3478512881285240_dp, 0.3477886036228170_dp, 0.3476873031738560_dp, 0.3475327772622020_dp, &
+         & 0.3473078417691370_dp, 0.3469929126775210_dp, 0.3465663055455930_dp, 0.3460046601258000_dp, &
+         & 0.3452834855179820_dp, 0.3443778152940520_dp, 0.3432629553090580_dp, 0.3419152998105520_dp, &
+         & 0.3403131845598320_dp, 0.3384377397214990_dp, 0.3362737010863130_dp, 0.3338101365585400_dp, &
+         & 0.3310410463872420_dp, 0.3279658006819660_dp, 0.3245893862403620_dp, 0.3209224460795210_dp, &
+         & 0.3169811083194670_dp, 0.3127866148946480_dp, 0.3083647735024330_dp, 0.3037452668472010_dp, &
+         & 0.2989608605087430_dp, 0.2940465540272190_dp, 0.2890387189800380_dp, 0.2839742633883450_dp, &
+         & 0.2788898546379530_dp, 0.2738212243861110_dp, 0.2688025698700760_dp, 0.2638660576916150_dp, &
+         & 0.2590414292759390_dp, 0.2543557021694910_dp, 0.2498329581723340_dp, 0.2454942077756780_dp, &
+         & 0.2413573201271220_dp, 0.2374370083804680_dp, 0.2337448614224230_dp, 0.2302894142930820_dp, &
+         & 0.2270762509042190_dp, 0.2241081337866860_dp, 0.2213851565385600_dp, 0.2189049154209930_dp, &
+         & 0.2166626972097130_dp, 0.2146516809765020_dp, 0.2128631519500030_dp, 0.2112867259683780_dp, &
+         & 0.2099105832573680_dp, 0.2087217103200910_dp, 0.2077061485902330_dp, 0.2068492481748480_dp, &
+         & 0.2061359245084300_dp, 0.2055509150941650_dp, 0.2050790327781730_dp, 0.2047054112595530_dp, &
+         & 0.2044157378723670_dp, 0.2041964681685760_dp, 0.2040350165673740_dp, 0.2039199173749180_dp, &
+         & 0.2038409508633380_dp, 0.2037892298377530_dp, 0.2037572431925130_dp, 0.2037388543124620_dp, &
+         & 0.2037292537366260_dp, 0.2037248671717290_dp, 0.2037232216226240_dp, 0.2037227739936900_dp, &
+         & 0.2037227079245700_dp, 0.2037227027251870_dp, 0.2037226080203280_dp, 0.2037219663809960_dp, &
+         & 0.2037196076516210_dp, 0.2037133201812080_dp, 0.2036995603891260_dp, 0.2036732094426840_dp, &
+         & 0.2036273871206190_dp, 0.2035533319582750_dp, 0.2034403556149870_dp, 0.2032758780029130_dp, &
+         & 0.2030455479675340_dp, 0.2027334521200570_dp, 0.2023224117020700_dp, 0.2017943640795890_dp, &
+         & 0.2011308216453930_dp, 0.2003133966850610_dp, 0.1993243763607640_dp, 0.1981473277257350_dp, &
+         & 0.1967677090114110_dp, 0.1951734607815180_dp, 0.1933555493425700_dp, 0.1913084353648740_dp, &
+         & 0.1890304431567530_dp, 0.1865240103862930_dp, 0.1837958039641020_dp, 0.1808566947880190_dp, &
+         & 0.1777215914847690_dp, 0.1744091405124240_dp, 0.1709413064606340_dp, 0.1673428516997150_dp, &
+         & 0.1636407384575730_dp, 0.1598634788564230_dp, 0.1560404594237210_dp, 0.1522012661830420_dp, &
+         & 0.1483750348059660_dp, 0.1445898477074220_dp, 0.1408721966396910_dp, 0.1372465254548130_dp, &
+         & 0.1337348633345950_dp, 0.1303565539803200_dp, 0.1271280812663060_dp, 0.1240629870698060_dp, &
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+         & 0.1005486416909780_dp, 0.0998417099364701_dp, 0.0992466388846509_dp, 0.0987522761995052_dp, &
+         & 0.0983475274860695_dp, 0.0980215027011866_dp, 0.0977636568211864_dp, 0.0975639232391785_dp, &
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+         & 0.0971324714273578_dp, 0.0971104631368718_dp, 0.0970978116048542_dp, 0.0970912066698162_dp, &
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+         & 0.0970866998199540_dp, 0.0970866336888889_dp, 0.0970861856386023_dp, 0.0970845385706269_dp, &
+         & 0.0970801481708037_dp, 0.0970705402890388_dp, 0.0970521415853085_dp, 0.0970201509000646_dp, &
+         & 0.0969684583792656_dp, 0.0968896188238375_dp, 0.0967748850078465_dp, 0.0966143056319311_dp, &
+         & 0.0963968910771769_dp, 0.0961108480305342_dp, 0.0957438813796756_dp, 0.0952835584045175_dp, &
+         & 0.0947177264844470_dp, 0.0940349712986119_dp, 0.0932250982925353_dp, 0.0922796163143573_dp, &
+         & 0.0911921992326086_dp, 0.0899590995451405_dp, 0.0885794877882375_dp, 0.0870556933602131_dp, &
+         & 0.0853933261457342_dp, 0.0836012640999115_dp, 0.0816914996031386_dp, 0.0796788460828566_dp, &
+         & 0.0775805161561749_dp, 0.0754155917481114_dp, 0.0732044150031754_dp, 0.0709679347587553_dp, &
+         & 0.0687270463208307_dp, 0.0665019618922855_dp, 0.0643116458618351_dp, 0.0621733429419038_dp, &
+         & 0.0601022198411130_dp, 0.0581111317084151_dp, 0.0561900280273306_dp, 0.0543907631043652_dp, &
+         & 0.0526952881535436_dp, 0.0511072517218025_dp, 0.0496284039342214_dp, 0.0482588553182381_dp, &
+         & 0.0469973430288206_dp, 0.0458414875196951_dp, 0.0447880275317516_dp, 0.0438330260613924_dp, &
+         & 0.0429720441991890_dp, 0.0422002830829342_dp, 0.0415126965865937_dp, 0.0409040788204464_dp, &
+         & 0.0403691311977212_dp, 0.0399025139167009_dp, 0.0394988863982633_dp, 0.0391529406607845_dp, &
+         & 0.0388594309239352_dp, 0.0386132019880705_dp, 0.0384092181847961_dp, 0.0382425939659470_dp, &
+         & 0.0381086265113169_dp, 0.0380028301015329_dp, 0.0379209714416930_dp, 0.0378591046492716_dp, &
+         & 0.0378136042594690_dp, 0.0377811943748014_dp, 0.0377589720078362_dp, 0.0377444227484176_dp, &
+         & 0.0377354271248578_dp, 0.0377302564056095_dp, 0.0377275570768205_dp, 0.0377263237888457_dp, &
+         & 0.0377258611492834_dp, 0.0377257353009952_dp, 0.0377257167260865_dp, 0.0377257152378832_dp, &
+         & 0.0377256877946905_dp, 0.0377255018634912_dp, 0.0377248183687158_dp, 0.0377229964839501_dp, &
+         & 0.0377190096447180_dp, 0.0377113755623384_dp, 0.0376981035567638_dp, 0.0376766624699769_dp, &
+         & 0.0376439723202822_dp, 0.0375964226445120_dp, 0.0375299200471915_dp, 0.0374399667380629_dp, &
+         & 0.0373217706940210_dp, 0.0371703864749833_dp, 0.0369808836562413_dp, 0.0367485374002996_dp, &
+         & 0.0364690330680730_dp, 0.0361386742514895_dp, 0.0357545815715525_dp, 0.0353148684381210_dp, &
+         & 0.0348187800857573_dp, 0.0342667838468884_dp, 0.0336606018542653_dp, 0.0330031819702299_dp, &
+         & 0.0322986082273644_dp, 0.0315519577023338_dp, 0.0307691156855725_dp, 0.0299565644525188_dp, &
+         & 0.0291211623317480_dp, 0.0282699289253259_dp, 0.0274098495381878_dp, 0.0265477077716412_dp, &
+         & 0.0256899506915147_dp, 0.0248425868532394_dp, 0.0240111143757957_dp, 0.0232004744970880_dp, &
+         & 0.0224150255430970_dp, 0.0216585326816841_dp, 0.0209341697732413_dp, 0.0202445306728265_dp, &
+         & 0.0195916481948331_dp, 0.0189770194977115_dp, 0.0184016368790765_dp, 0.0178660229833270_dp, &
+         & 0.0173702693260935_dp, 0.0169140769433653_dp, 0.0164967979470276_dp, 0.0161174768448262_dp, &
+         & 0.0157748906593582_dp, 0.0154675871291374_dp, 0.0151939205597103_dp, 0.0149520851762617_dp, &
+         & 0.0147401460773864_dp, 0.0145560680825838_dp, 0.0143977428855351_dp, 0.0142630149718173_dp, &
+         & 0.0141497067305352_dp, 0.0140556430989562_dp, 0.0139786759357747_dp, 0.0139167081412097_dp, &
+         & 0.0138677173483757_dp, 0.0138297788177937_dp, 0.0138010869954996_dp, 0.0137799750627892_dp, &
+         & 0.0137649317224344_dp, 0.0137546144485867_dp, 0.0137478584728967_dp, 0.0137436808916505_dp, &
+         & 0.0137412794473590_dp, 0.0137400257495415_dp, 0.0137394529412234_dp, 0.0137392380637067_dp, &
+         & 0.0137391796120738_dp, 0.0137391709847350_dp, 0.0137391702870246_dp, 0.0137391573394012_dp, &
+         & 0.0137390696175288_dp, 0.0137387471452115_dp, 0.0137378875720628_dp, 0.0137360065169787_dp, &
+         & 0.0137324044538758_dp, 0.0137261416322048_dp, 0.0137160224586381_dp, 0.0137005906766205_dp, &
+         & 0.0136781365490179_dp, 0.0136467170413965_dp, 0.0136041896883654_dp, 0.0135482603737245_dp, &
+         & 0.0134765446501177_dp, 0.0133866414658286_dp, 0.0132762172824101_dp, 0.0131430976125984_dp, &
+         & 0.0129853620657343_dp, 0.0128014381671875_dp, 0.0125901886335384_dp, 0.0123509865495492_dp, &
+         & 0.0120837730924279_dp, 0.0117890931252731_dp, 0.0114681051265677_dp, 0.0111225634616403_dp, &
+         & 0.0107547728184869_dp, 0.0103675165586736_dp, 0.0099639626004375_dp, 0.0095475520783879_dp, &
+         & 0.0091218772598296_dp, 0.0086905559251846_dp, 0.0082571095768884_dp, 0.0078248524158369_dp, &
+         & 0.0073967970736817_dp, 0.0069755817163184_dp, 0.0065634214788162_dp, 0.0061620854111197_dp, &
+         & 0.0057728983541097_dp, 0.0053967655589133_dp, 0.0050342165199879_dp, 0.0046854634932174_dp, &
+         & 0.0043504695645993_dp, 0.0040290209275753_dp, 0.0037207981974490_dp, 0.0034254420911708_dp, &
+         & 0.0031426095870302_dp, 0.0028720176945427_dp, 0.0026134731365346_dp, 0.0023668874769811_dp, &
+         & 0.0021322784013194_dp, 0.0019097588643007_dp, 0.0016995165667737_dp, 0.0015017866625158_dp, &
+         & 0.0013168207235594_dp, 0.0011448548367383_dp, 0.0009860793256138_dp, 0.0008406120549012_dp, &
+         & 0.0007084766614014_dp, 0.0005895864440788_dp, 0.0004837340998449_dp, 0.0003905870585896_dp, &
+         & 0.0003096878719475_dp, 0.0002404589457257_dp, 0.0001822786683761_dp, 0.0001342066778420_dp, &
+         & 9.5449198099117893e-05_dp, 6.5057952625124899e-05_dp, 4.2028866872101403e-05_dp, 2.5320141318729801e-05_dp, &
+         & 1.3871596053149900e-05_dp, 6.6254647919095103e-06_dp, 2.5492016675343599e-06_dp, 6.6162456846541296e-07_dp, &
+         & -1.4210854715202001e-14_dp &
+         &]
+      case (92)
+         out = [&
+         & 92.0000000000000000_dp, 91.9999998890292972_dp, 91.9999964575967937_dp, 91.9999732090960975_dp, &
+         & 91.9998877445428036_dp, 91.9996599227710021_dp, 91.9991613167965028_dp, 91.9982063362831042_dp, &
+         & 91.9965453342415032_dp, 91.9938599539704995_dp, 91.9897609022565064_dp, 91.9837882601127035_dp, &
+         & 91.9754143665799972_dp, 91.9640492383750967_dp, 91.9490484224468929_dp, 91.9297231231092979_dp, &
+         & 91.9053524023354953_dp, 91.8751972209520034_dp, 91.8385160672100938_dp, 91.7945819022824026_dp, &
+         & 91.7427001323241029_dp, 91.6822272858968006_dp, 91.6125900272424047_dp, 91.5333040673810956_dp, &
+         & 91.4439924495540026_dp, 91.3444025935060040_dp, 91.2344214015438979_dp, 91.1140876794494972_dp, &
+         & 90.9836011285115944_dp, 90.8433272374927014_dp, 90.6937975519202979_dp, 90.5357050166483930_dp, &
+         & 90.3698943571327931_dp, 90.1973477560328973_dp, 90.0191663603067980_dp, 89.8365483870562969_dp, &
+         & 89.6507647586952032_dp, 89.4631332760066016_dp, 89.2749923310026929_dp, 89.0876750818324012_dp, &
+         & 88.9024848792225981_dp, 88.7206725717534965_dp, 88.5434161484093067_dp, 88.3718030197289011_dp, &
+         & 88.2068151055883050_dp, 88.0493167936561036_dp, 87.9000457576793934_dp, 87.7596065747892027_dp, &
+         & 87.6284670496901015_dp, 87.5069571341777959_dp, 87.3952703169289009_dp, 87.2934673463148982_dp, &
+         & 87.2014821351057066_dp, 87.1191296787885960_dp, 87.0461157984847063_dp, 86.9820484955639017_dp, &
+         & 86.9264506791061962_dp, 86.8787740006989964_dp, 86.8384135052902053_dp, 86.8047227835980948_dp, &
+         & 86.7770292926410036_dp, 86.7546494979620064_dp, 86.7369034856840955_dp, 86.7231286960196996_dp, &
+         & 86.7126924433848956_dp, 86.7050029125033035_dp, 86.6995183550266972_dp, 86.6957542568242019_dp, &
+         & 86.6932883012068061_dp, 86.6917630163220991_dp, 86.6908860636453937_dp, 86.6904281963631007_dp, &
+         & 86.6902189886922940_dp, 86.6901405069720994_dp, 86.6901191579752037_dp, 86.6901160069055976_dp, &
+         & 86.6901155935516954_dp, 86.6901059629026065_dp, 86.6900407138247004_dp, 86.6898008511107037_dp, &
+         & 86.6891614636348038_dp, 86.6877621719366971_dp, 86.6850823308665070_dp, 86.6804219706439056_dp, &
+         & 86.6728893367523057_dp, 86.6613957467307046_dp, 86.6446583175699061_dp, 86.6212109272469064_dp, &
+         & 86.5894235538134041_dp, 86.5475298822062058_dp, 86.4936627816781964_dp, 86.4258969382747040_dp, &
+         & 86.3422975850663050_dp, 86.2409739222974991_dp, 86.1201354823100047_dp, 85.9781494003341038_dp, &
+         & 85.8135963396620980_dp, 85.6253227296872979_dp, 85.4124870453450029_dp, 85.1745981085949069_dp, &
+         & 84.9115438196666048_dp, 84.6236092813036009_dp, 84.3114838773743003_dp, 83.9762573995651991_dp, &
+         & 83.6194056859354049_dp, 83.2427664022644933_dp, 82.8485056117884966_dp, 82.4390757848152020_dp, &
+         & 82.0171660836027030_dp, 81.5856462491666008_dp, 81.1475061761635033_dp, 80.7057940348537954_dp, &
+         & 80.2635562008468071_dp, 79.8237819806011970_dp, 79.3893551642263020_dp, 78.9630131284823022_dp, &
+         & 78.5473130451537997_dp, 78.1446040979940051_dp, 77.7570045561124061_dp, 77.3863829087298996_dp, &
+         & 77.0343427504633951_dp, 76.7022114913639967_dp, 76.3910331534395937_dp, 76.1015655174979031_dp, &
+         & 75.8342817683155062_dp, 75.5893766256629931_dp, 75.3667767961073025_dp, 75.1661554616222958_dp, &
+         & 74.9869504406669023_dp, 74.8283856081250036_dp, 74.6894951304654029_dp, 74.5691500503600935_dp, &
+         & 74.4660867325641931_dp, 74.3789366557606968_dp, 74.3062570025782065_dp, 74.2465614642907070_dp, &
+         & 74.1983506420594949_dp, 74.1601413984278963_dp, 74.1304944969812993_dp, 74.1080398701749061_dp, &
+         & 74.0914988798808025_dp, 74.0797029853184057_dp, 74.0716083099554936_dp, 74.0663057018522011_dp, &
+         & 74.0630260078655027_dp, 74.0611404263003976_dp, 74.0601559586561962_dp, 74.0597061417469007_dp, &
+         & 74.0595373990032044_dp, 74.0594914968013001_dp, 74.0594847217294046_dp, 74.0594841236194981_dp, &
+         & 74.0594724039507071_dp, 74.0593930014570958_dp, 74.0591011092956961_dp, 74.0583230304593059_dp, &
+         & 74.0566202163334992_dp, 74.0533590943563951_dp, 74.0476878844365984_dp, 74.0385214559198062_dp, &
+         & 74.0245351055669971_dp, 74.0041679388267966_dp, 73.9756363067536000_dp, 73.9369574841577020_dp, &
+         & 73.8859834673801998_dp, 73.8204444222555054_dp, 73.7380009293517986_dp, 73.6363037660643016_dp, &
+         & 73.5130595524032060_dp, 73.3661001949031970_dp, 73.1934537213693943_dp, 72.9934138403094011_dp, &
+         & 72.7646054130535020_dp, 72.5060430183357028_dp, 72.2171799349589065_dp, 71.8979451753873064_dp, &
+         & 71.5487666695696021_dp, 71.1705793118936043_dp, 70.7648173203890991_dp, 70.3333911749128049_dp, &
+         & 69.8786502383900938_dp, 69.4033329410823967_dp, 68.9105070314296029_dp, 68.4035027868222016_dp, &
+         & 67.8858421852950045_dp, 67.3611668680670022_dp, 66.8331673328850968_dp, 66.3055152906654968_dp, &
+         & 65.7818006057052997_dp, 65.2654738120325959_dp, 64.7597948960163023_dp, 64.2677888451190000_dp, &
+         & 63.7922083341535995_dp, 63.3355037948678969_dp, 62.8998009534608968_dp, 62.4868857195955982_dp, &
+         & 62.0981960962341972_dp, 61.7348205923673987_dp, 61.3975024942334997_dp, 61.0866492994514019_dp, &
+         & 60.8023466358327980_dp, 60.5443760510215014_dp, 60.3122361440884021_dp, 60.1051665924783975_dp, &
+         & 59.9221746911878981_dp, 59.7620640575445989_dp, 59.6234651625262018_dp, 59.5048673305073024_dp, &
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+         & 0.0250190830882673_dp, 0.0250074627319776_dp, 0.0249886863491184_dp, 0.0249600504929361_dp, &
+         & 0.0249183798258912_dp, 0.0248600634630805_dp, 0.0247811162676896_dp, 0.0246772655244882_dp, &
+         & 0.0245440623908877_dp, 0.0243770162477404_dp, 0.0241717485822619_dp, 0.0239241614089138_dp, &
+         & 0.0236306135887929_dp, 0.0232880969011120_dp, 0.0228944025285358_dp, 0.0224482679304714_dp, &
+         & 0.0219494940627527_dp, 0.0213990236831165_dp, 0.0207989731236893_dp, 0.0201526123739768_dp, &
+         & 0.0194642914794656_dp, 0.0187393148812021_dp, 0.0179837690931350_dp, 0.0172043126698327_dp, &
+         & 0.0164079403829760_dp, 0.0156017355750038_dp, 0.0147926255529711_dp, 0.0139871545193984_dp, &
+         & 0.0131912869670288_dp, 0.0124102518774976_dp, 0.0116484347664567_dp, 0.0109093209468796_dp, &
+         & 0.0101954896834684_dp, 0.0095086554800474_dp, 0.0088497498386460_dp, 0.0082190346360136_dp, &
+         & 0.0076162368991390_dp, 0.0070406942338934_dp, 0.0064915004124373_dp, 0.0059676415473149_dp, &
+         & 0.0054681147693003_dp, 0.0049920232759604_dp, 0.0045386439063435_dp, 0.0041074658433900_dp, &
+         & 0.0036982014251947_dp, 0.0033107721221199_dp, 0.0029452743180514_dp, 0.0026019305077227_dp, &
+         & 0.0022810318696571_dp, 0.0019828779415860_dp, 0.0017077184239867_dp, 0.0014557011051011_dp, &
+         & 0.0012268286975967_dp, 0.0010209261605496_dp, 0.0008376189856136_dp, 0.0006763220480366_dp, &
+         & 0.0005362380141491_dp, 0.0004163639536330_dp, 0.0003155047008647_dp, 0.0002322915842257_dp, &
+         & 1.6520533675645801e-04_dp, 1.1260226074227801e-04_dp, 7.2743001339858906e-05_dp, 4.3823576064028202e-05_dp, &
+         & 2.4008617486970299e-05_dp, 1.1467179859892000e-05_dp, 4.4120893676335999e-06_dp, 1.1451217716285100e-06_dp, &
+         & -1.4210854715202001e-14_dp &
+         &]
+      case (93)
+         out = [&
+         & 93.0000000000000000_dp, 92.9999998872877001_dp, 92.9999964019987999_dp, 92.9999727886127943_dp, &
+         & 92.9998859826922057_dp, 92.9996545852481944_dp, 92.9991481535983979_dp, 92.9981781844330015_dp, &
+         & 92.9964911121597027_dp, 92.9937635824776976_dp, 92.9896001900194022_dp, 92.9835337929851988_dp, &
+         & 92.9750284407778054_dp, 92.9634848768615001_dp, 92.9482485124739952_dp, 92.9286197108152976_dp, &
+         & 92.9038661779042059_dp, 92.8732372253256955_dp, 92.8359796488183946_dp, 92.7913549496114030_dp, &
+         & 92.7386576050706992_dp, 92.6772340633432066_dp, 92.6065020865927977_dp, 92.5259699963688007_dp, &
+         & 92.4352552861051038_dp, 92.3341019705596011_dp, 92.2223959578587937_dp, 92.1001776787155961_dp, &
+         & 91.9676512112991986_dp, 91.8251892158851035_dp, 91.6733331473803048_dp, 91.5127884395399036_dp, &
+         & 91.3444146321877071_dp, 91.1692107115773069_dp, 90.9882962187416950_dp, 90.8028889175475058_dp, &
+         & 90.6142799774592049_dp, 90.4238077022498032_dp, 90.2328308253342044_dp, 90.0427023075022959_dp, &
+         & 89.8547444345040986_dp, 89.6702258446738938_dp, 89.4903409439601063_dp, 89.3161920060205006_dp, &
+         & 89.1487741205395992_dp, 88.9889630488628995_dp, 88.8375059718440951_dp, 88.6950150659128980_dp, &
+         & 88.5619638131655051_dp, 88.4386859327881041_dp, 88.3253768082261956_dp, 88.2220972725665007_dp, &
+         & 88.1287796006213000_dp, 88.0452355387290027_dp, 87.9711661820144997_dp, 87.9061734843699014_dp, &
+         & 87.8497731598160954_dp, 87.8014087066352005_dp, 87.7604662593220013_dp, 87.7262899497105053_dp, &
+         & 87.6981974392961945_dp, 87.6754952715224931_dp, 87.6574936872069941_dp, 87.6435205497709973_dp, &
+         & 87.6329340406040984_dp, 87.6251338094434971_dp, 87.6195703002525050_dp, 87.6157520193446970_dp, &
+         & 87.6132505683831937_dp, 87.6117033287534070_dp, 87.6108137534903051_dp, 87.6103492958516057_dp, &
+         & 87.6101370769403047_dp, 87.6100574655914954_dp, 87.6100358093074050_dp, 87.6100326128828044_dp, &
+         & 87.6100321935793005_dp, 87.6100224243112962_dp, 87.6099562360700048_dp, 87.6097129208946939_dp, &
+         & 87.6090643304428056_dp, 87.6076448983494060_dp, 87.6049264863681003_dp, 87.6001990521144052_dp, &
+         & 87.5925580117122990_dp, 87.5808990263997060_dp, 87.5639207755490929_dp, 87.5401360856364050_dp, &
+         & 87.5078915611919967_dp, 87.4653956064004063_dp, 87.4107544338397986_dp, 87.3420153327977999_dp, &
+         & 87.2572161218816973_dp, 87.1544393541911973_dp, 87.0318695009309948_dp, 86.8878510421934038_dp, &
+         & 86.7209451802559954_dp, 86.5299828030825040_dp, 86.3141114012422008_dp, 86.0728339011080976_dp, &
+         & 85.8060378116412039_dp, 85.5140136417549996_dp, 85.1974621414034061_dp, 84.8574904425847052_dp, &
+         & 84.4955975323827033_dp, 84.1136496457154976_dp, 83.7138461825692985_dp, 83.2986767882845953_dp, &
+         & 82.8708704763790962_dp, 82.4333382383852040_dp, 81.9891114043757057_dp, 81.5412787985277987_dp, &
+         & 81.0929260705036938_dp, 80.6470801897547034_dp, 80.2066610110741038_dp, 79.7744404470203960_dp, &
+         & 79.3530086353429027_dp, 78.9447459203418020_dp, 78.5517995079288056_dp, 78.1760640780448028_dp, &
+         & 77.8191661437940070_dp, 77.4824523162658068_dp, 77.1669817883335014_dp, 76.8735233189423042_dp, &
+         & 76.6025568585077963_dp, 76.3542797817012939_dp, 76.1286175367300046_dp, 75.9252384027657001_dp, &
+         & 75.7435719710992004_dp, 75.5828309212766953_dp, 75.4420356377563053_dp, 75.3200411936494021_dp, &
+         & 75.2155662075835068_dp, 75.1272230534614067_dp, 75.0535488704324933_dp, 74.9930367842166987_dp, &
+         & 74.9441667155301019_dp, 74.9054351224286989_dp, 74.8753830069232009_dp, 74.8526215179029037_dp, &
+         & 74.8358545068999064_dp, 74.8238974437000053_dp, 74.8156921765175014_dp, 74.8103171255687016_dp, &
+         & 74.8069926264246021_dp, 74.8050812856096030_dp, 74.8040833691027984_dp, 74.8036274072485980_dp, &
+         & 74.8034563593159021_dp, 74.8034098300459931_dp, 74.8034029624201935_dp, 74.8034023561395003_dp, &
+         & 74.8033904763689037_dp, 74.8033099891618036_dp, 74.8030141094805998_dp, 74.8022254013943950_dp, &
+         & 74.8004993254862001_dp, 74.7971936546850031_dp, 74.7914449748381998_dp, 74.7821533366161049_dp, &
+         & 74.7679759518440932_dp, 74.7473306266360993_dp, 74.7184093907531945_dp, 74.6792025122548040_dp, &
+         & 74.6275327750536945_dp, 74.5610995441966935_dp, 74.4775317545650068_dp, 74.3744485449201989_dp, &
+         & 74.2495258398246989_dp, 74.1005667827619021_dp, 73.9255735755701977_dp, 73.7228180148340044_dp, &
+         & 73.4909078661128063_dp, 73.2288462074437945_dp, 72.9360810220677962_dp, 72.6125426351130017_dp, &
+         & 72.2586670684512029_dp, 71.8754040194842929_dp, 71.4642089267068030_dp, 71.0270194227658038_dp, &
+         & 70.5662173282528045_dp, 70.0845781212539976_dp, 69.5852104356351049_dp, 69.0714885146846029_dp, &
+         & 68.5469806322954014_dp, 68.0153763020537951_dp, 67.4804146927667006_dp, 66.9458161635385949_dp, &
+         & 66.4152183354153038_dp, 65.8921177138833940_dp, 65.3798175987142969_dp, 64.8813828421328935_dp, &
+         & 64.3996018863741000_dp, 63.9369563685481026_dp, 63.4955983916268991_dp, 63.0773353304567976_dp, &
+         & 62.6836218062059984_dp, 62.3155582664043024_dp, 61.9738954841842968_dp, 61.6590442499651985_dp, &
+         & 61.3710895595816979_dp, 61.1098086789647965_dp, 60.8746925582347984_dp, 60.6649701538527992_dp, &
+         & 60.4796352811680009_dp, 60.3174756544179971_dp, 60.1771037762296004_dp, 60.0569893170114995_dp, &
+         & 59.9554925814830000_dp, 59.8708986012566982_dp, 59.8014513258957976_dp, 59.7453873177411978_dp, &
+         & 59.7009682958914993_dp, 59.6665118298608022_dp, 59.6404194609209028_dp, 59.6212015351490976_dp, &
+         & 59.6074980711729978_dp, 59.5980950596633008_dp, 59.5919357002550996_dp, 59.5881262214911018_dp, &
+         & 59.5859360946756027_dp, 59.5847926352002020_dp, 59.5842701754906017_dp, 59.5840741822286972_dp, &
+         & 59.5840208672538978_dp, 59.5840129980732982_dp, 59.5840123668676966_dp, 59.5840007179224003_dp, &
+         & 59.5839217946002009_dp, 59.5836316640641996_dp, 59.5828582821555983_dp, 59.5811657526262977_dp, &
+         & 59.5779243479005984_dp, 59.5722874922174981_dp, 59.5631767658572997_dp, 59.5492758239739999_dp, &
+         & 59.5290339309776968_dp, 59.5006795853179966_dp, 59.4622444434710005_dp, 59.4115974410597971_dp, &
+         & 59.3464886520872028_dp, 59.2646020286628996_dp, 59.1636157351810965_dp, 59.0412683528520006_dp, &
+         & 58.8954288113181974_dp, 58.7241675392078974_dp, 58.5258260542342015_dp, 58.2990820746593030_dp, &
+         & 58.0430072601929012_dp, 57.7571149017173013_dp, 57.4413952771520968_dp, 57.0963369542443999_dp, &
+         & 56.7229330061134007_dp, 56.3226718500770005_dp, 55.8975131554880988_dp, 55.4498499301543006_dp, &
+         & 54.9824584462191979_dp, 54.4984380910556965_dp, 54.0011435349940996_dp, 53.4941118119252010_dp, &
+         & 52.9809870188240026_dp, 52.4654453462111974_dp, 51.9511230300109972_dp, 51.4415495443966009_dp, &
+         & 50.9400879334031984_dp, 50.4498836360460032_dp, 49.9738225547369979_dp, 49.5144985250079017_dp, &
+         & 49.0741898371655978_dp, 48.6548440876697015_dp, 48.2580704196734018_dp, 47.8851381386403006_dp, &
+         & 47.5369807292032007_dp, 47.2142044126529967_dp, 46.9171005307822000_dp, 46.6456611895767992_dp, &
+         & 46.3995977248299027_dp, 46.1783616508210031_dp, 45.9811678200864975_dp, 45.8070195587063012_dp, &
+         & 45.6547355510012025_dp, 45.5229782339078994_dp, 45.4102834282086008_dp, 45.3150908848380993_dp, &
+         & 45.2357753636905997_dp, 45.1706777945889968_dp, 45.1181360012707984_dp, 45.0765144062431986_dp, &
+         & 45.0442320845098010_dp, 45.0197885047258026_dp, 45.0017862936814979_dp, 44.9889503889459021_dp, &
+         & 44.9801430076012991_dp, 44.9743739561724993_dp, 44.9708059352284977_dp, 44.9687546461275005_dp, &
+         & 44.9676836792524028_dp, 44.9671943435635981_dp, 44.9670107765167018_dp, 44.9669608417974018_dp, &
+         & 44.9669534715363000_dp, 44.9669529030707977_dp, 44.9669426952559022_dp, 44.9668735358084035_dp, &
+         & 44.9666192983712989_dp, 44.9659415947670027_dp, 44.9644584573064989_dp, 44.9616180727930015_dp, &
+         & 44.9566786238845992_dp, 44.9486951708438980_dp, 44.9365143639962028_dp, 44.9187776102196992_dp, &
+         & 44.8939331196429023_dp, 44.8602570252661010_dp, 44.8158834937467034_dp, 44.7588434287428001_dp, &
+         & 44.6871110129608979_dp, 44.5986569522550980_dp, 44.4915068934396984_dp, 44.3638031132245985_dp, &
+         & 44.2138672513347970_dp, 44.0402616220059002_dp, 43.8418465189222033_dp, 43.6178309567578992_dp, &
+         & 43.3678144829100987_dp, 43.0918180438964029_dp, 42.7903023811238015_dp, 42.4641730213595991_dp, &
+         & 42.1147715671275975_dp, 41.7438536275374972_dp, 41.3535543152171030_dp, 40.9463427418041022_dp, &
+         & 40.5249673645302977_dp, 40.0923943747261973_dp, 39.6517415794295971_dp, 39.2062103968384008_dp, &
+         & 38.7590186292731005_dp, 38.3133365458990980_dp, 37.8722284693808007_dp, 37.4386015288181966_dp, &
+         & 37.0151625866880991_dp, 36.6043836826067022_dp, 36.2084757760178988_dp, 35.8293701882201034_dp, &
+         & 35.4687069557477983_dp, 35.1278292734548998_dp, 34.8077832626176971_dp, 34.5093223868246994_dp, &
+         & 34.2329159180551983_dp, 33.9787609138014020_dp, 33.7467972074271003_dp, 33.5367249490552979_dp, &
+         & 33.3480242723591971_dp, 33.1799767071360989_dp, 33.0316880058853997_dp, 32.9021120982590034_dp, &
+         & 32.7900759224392004_dp, 32.6943049006496977_dp, 32.6134488232948030_dp, 32.5461078822445984_dp, &
+         & 32.4908585515631998_dp, 32.4462789593813028_dp, 32.4109733355752994_dp, 32.3835950653997031_dp, &
+         & 32.3628678382138020_dp, 32.3476043609761987_dp, 32.3367221144447967_dp, 32.3292556697398012_dp, &
+         & 32.3243651549199029_dp, 32.3213405633606001_dp, 32.3196017230810000_dp, 32.3186938916130018_dp, &
+         & 32.3182790958861972_dp, 32.3181234916837994_dp, 32.3180811635673990_dp, 32.3180749160260987_dp, &
+         & 32.3180744429811000_dp, 32.3180660630369019_dp, 32.3180092876911971_dp, 32.3178005756597031_dp, &
+         & 32.3172442271254994_dp, 32.3160266776164988_dp, 32.3136949463063985_dp, 32.3096401137988991_dp, &
+         & 32.3030866086722028_dp, 32.2930879703309017_dp, 32.2785296237886001_dp, 32.2581390442363016_dp, &
+         & 32.2305034997444011_dp, 32.1940953346465975_dp, 32.1473044924614015_dp, 32.0884776785838994_dp, &
+         & 32.0159632381240016_dp, 31.9281604882615007_dp, 31.8235719184879997_dp, 31.7008563820434013_dp, &
+         & 31.5588811760291996_dp, 31.3967707735514985_dp, 31.2139499517564012_dp, 31.0101791698521012_dp, &
+         & 30.7855802959880016_dp, 30.5406511548913002_dp, 30.2762678528828992_dp, 29.9936744084300990_dp, &
+         & 29.6944598439018996_dp, 29.3805235424228997_dp, 29.0540303035114995_dp, 28.7173570993597984_dp, &
+         & 28.3730339938097984_dp, 28.0236819920944988_dp, 27.6719507019480986_dp, 27.3204585823324990_dp, &
+         & 26.9717382359130013_dp, 26.6281886958888983_dp, 26.2920360246229983_dp, 25.9653028570133984_dp, &
+         & 25.6497868667969016_dp, 25.3470475798242987_dp, 25.0584005535645993_dp, 24.7849177072491003_dp, &
+         & 24.5274325152192993_dp, 24.2865488389828990_dp, 24.0626523309030986_dp, 23.8559235514406005_dp, &
+         & 23.6663521644174999_dp, 23.4937517822220983_dp, 23.3377752072443982_dp, 23.1979299488149984_dp, &
+         & 23.0735939854618017_dp, 22.9640317938814000_dp, 22.8684106843155988_dp, 22.7858174732120986_dp, &
+         & 22.7152754940176003_dp, 22.6557619009764011_dp, 22.6062251637581006_dp, 22.5656025873257988_dp, &
+         & 22.5328376265210011_dp, 22.5068967034630987_dp, 22.4867851832932999_dp, 22.4715621251853008_dp, &
+         & 22.4603534055648986_dp, 22.4523628127914989_dp, 22.4468807393906999_dp, 22.4432901496604984_dp, &
+         & 22.4410695754903990_dp, 22.4397929878679996_dp, 22.4391265004678999_dp, 22.4388219783279013_dp, &
+         & 22.4387077417956995_dp, 22.4386766667114017_dp, 22.4386720800949000_dp, 22.4386717357762002_dp, &
+         & 22.4386656753761997_dp, 22.4386246152907987_dp, 22.4384736743094990_dp, 22.4380713228839994_dp, &
+         & 22.4371907958282009_dp, 22.4355045164186002_dp, 22.4325721726277010_dp, 22.4278330213668013_dp, &
+         & 22.4206029202726995_dp, 22.4100764945204993_dp, 22.3953347327252992_dp, 22.3753581652252009_dp, &
+         & 22.3490456049566006_dp, 22.3152382234149016_dp, 22.2727484937768985_dp, 22.2203932677274985_dp, &
+         & 22.1570299760228018_dp, 22.0815946759583994_dp, 21.9931404377717001_dp, 21.8908743955612017_dp, &
+         & 21.7741917148652000_dp, 21.6427047715743015_dp, 21.4962660081991004_dp, 21.3349832321774002_dp, &
+         & 21.1592265285610992_dp, 20.9696264411747997_dp, 20.7670635843121012_dp, 20.5526503273122003_dp, &
+         & 20.3277055962978999_dp, 20.0937241233780988_dp, 19.8523416269567008_dp, 19.6052974345355011_dp, &
+         & 19.3543959893856012_dp, 19.1014685539378988_dp, 18.8483362735451010_dp, 18.5967756185672002_dp, &
+         & 18.3484870844218015_dp, 18.1050678840545984_dp, 17.8679891934456982_dp, 17.6385782936796005_dp, &
+         & 17.4180056970673007_dp, 17.2072770757320015_dp, 17.0072295685484995_dp, 16.8185318650322984_dp, &
+         & 16.6416873765084006_dp, 16.4770398076015994_dp, 16.3247805168672002_dp, 16.1849571750517995_dp, &
+         & 16.0574833626432998_dp, 15.9421488710587003_dp, 15.8386305696548995_dp, 15.7465037683809008_dp, &
+         & 15.6652540443249002_dp, 15.5942895139686009_dp, 15.5329535268990000_dp, 15.4805377359906995_dp, &
+         & 15.4362954678014006_dp, 15.3994552786795005_dp, 15.3692345400862997_dp, 15.3448528541780007_dp, &
+         & 15.3255450612095991_dp, 15.3105735674215993_dp, 15.2992396992988002_dp, 15.2908937806679006_dp, &
+         & 15.2849436355057993_dp, 15.2808612430360995_dp, 15.2781873128427996_dp, 15.2765336050617009_dp, &
+         & 15.2755828915747003_dp, 15.2750865346935996_dp, 15.2748597454177002_dp, 15.2747746689763009_dp, &
+         & 15.2747515261257991_dp, 15.2747481102896998_dp, 15.2747478546415998_dp, 15.2747433653323004_dp, &
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+         & 0.1438101441646890_dp, 0.1432160452984020_dp, 0.1424857320758970_dp, 0.1416044193303920_dp, &
+         & 0.1405588531758040_dp, 0.1393379114892640_dp, 0.1379331685146070_dp, 0.1363393903699970_dp, &
+         & 0.1345549294694590_dp, 0.1325819899462890_dp, 0.1304267430215450_dp, 0.1280992804479130_dp, &
+         & 0.1256134048831680_dp, 0.1229862672531680_dp, 0.1202378716806010_dp, 0.1173904772496140_dp, &
+         & 0.1144679318527860_dp, 0.1114949760934110_dp, 0.1084965546183550_dp, 0.1054971686772030_dp, &
+         & 0.1025202977987480_dp, 0.0995879110513158_dp, 0.0967200802590611_dp, 0.0939346995977814_dp, &
+         & 0.0912473089136512_dp, 0.0886710124396757_dp, 0.0862164806013652_dp, 0.0838920202762239_dp, &
+         & 0.0817036979855317_dp, 0.0796555007685384_dp, 0.0777495206851597_dp, 0.0759861507928861_dp, &
+         & 0.0743642827862772_dp, 0.0728814989624311_dp, 0.0715342534999621_dp, 0.0703180400444268_dp, &
+         & 0.0692275442508645_dp, 0.0682567812815904_dp, 0.0673992193294026_dp, 0.0666478910198549_dp, &
+         & 0.0659954950151729_dp, 0.0654344902907127_dp, 0.0649571854213349_dp, 0.0645558248548781_dp, &
+         & 0.0642226736290326_dp, 0.0639501013552746_dp, 0.0637306655913505_dp, 0.0635571939969992_dp, &
+         & 0.0634228639648740_dp, 0.0633212777984369_dp, 0.0632465310284118_dp, 0.0631932711642804_dp, &
+         & 0.0631567441076015_dp, 0.0631328256187942_dp, 0.0631180356259620_dp, 0.0631095337645604_dp, &
+         & 0.0631050952923857_dp, 0.0631030673784352_dp, 0.0631023066476928_dp, 0.0631020997114433_dp, &
+         & 0.0631020691680959_dp, 0.0631020667644862_dp, 0.0631020229830881_dp, 0.0631017263580844_dp, &
+         & 0.0631006359415096_dp, 0.0630977293545243_dp, 0.0630913686808725_dp, 0.0630791884595823_dp, &
+         & 0.0630580108001055_dp, 0.0630237923997896_dp, 0.0629716079304643_dp, 0.0628956737977830_dp, &
+         & 0.0627894155682611_dp, 0.0626455812925997_dp, 0.0624564014389080_dp, 0.0622137941280698_dp, &
+         & 0.0619096118421680_dp, 0.0615359228391554_dp, 0.0610853173472208_dp, 0.0605512255033887_dp, &
+         & 0.0599282313184375_dp, 0.0592123650883138_dp, 0.0584013560265362_dp, 0.0574948277564857_dp, &
+         & 0.0564944218207586_dp, 0.0554038384637607_dp, 0.0542287893228206_dp, 0.0529768628163652_dp, &
+         & 0.0516573093003245_dp, 0.0502807588008096_dp, 0.0488588886946957_dp, 0.0474040616304165_dp, &
+         & 0.0459289549772421_dp, 0.0444462021365695_dp, 0.0429680633636451_dp, 0.0415061398046106_dp, &
+         & 0.0400711398725235_dp, 0.0386727024897340_dp, 0.0373192775851834_dp, 0.0360180608094254_dp, &
+         & 0.0347749767849876_dp, 0.0335947033778723_dp, 0.0324807284874709_dp, 0.0314354307170390_dp, &
+         & 0.0304601758844996_dp, 0.0295554223941394_dp, 0.0287208297024364_dp, 0.0279553652744937_dp, &
+         & 0.0272574065095483_dp, 0.0266248351703524_dp, 0.0260551228963806_dp, 0.0255454073393082_dp, &
+         & 0.0250925592192601_dp, 0.0246932411073573_dp, 0.0243439590316825_dp, 0.0240411081549325_dp, &
+         & 0.0237810138434753_dp, 0.0235599694412514_dp, 0.0233742719591277_dp, 0.0232202566725732_dp, &
+         & 0.0230943313023744_dp, 0.0229930100721560_dp, 0.0229129475337544_dp, 0.0228509716700529_dp, &
+         & 0.0228041154513789_dp, 0.0227696457602349_dp, 0.0227450884315914_dp, 0.0227282480931734_dp, &
+         & 0.0227172215452782_dp, 0.0227104035866006_dp, 0.0227064844651892_dp, 0.0227044384837001_dp, &
+         & 0.0227035036928243_dp, 0.0227031530261286_dp, 0.0227030576368463_dp, 0.0227030435575983_dp, &
+         & 0.0227030424398151_dp, 0.0227030219548681_dp, 0.0227028831666587_dp, 0.0227023729713238_dp, &
+         & 0.0227010130145970_dp, 0.0226980369689045_dp, 0.0226923381995192_dp, 0.0226824302259843_dp, &
+         & 0.0226664223038142_dp, 0.0226420123371298_dp, 0.0226064991457235_dp, 0.0225568157916314_dp, &
+         & 0.0224895851626883_dp, 0.0224011982615622_dp, 0.0222879146290040_dp, 0.0221459830412272_dp, &
+         & 0.0219717791121212_dp, 0.0217619548029404_dp, 0.0215135932362358_dp, 0.0212243608195877_dp, &
+         & 0.0208926477066456_dp, 0.0205176872729282_dp, 0.0200996457362663_dp, 0.0196396744172205_dp, &
+         & 0.0191399193933677_dp, 0.0186034862552447_dp, 0.0180343609587794_dp, 0.0174372909507241_dp, &
+         & 0.0168176334709074_dp, 0.0161811800495286_dp, 0.0155339677008044_dp, 0.0148820880837235_dp, &
+         & 0.0142315056875191_dp, 0.0135878946198744_dp, 0.0129565009496417_dp, 0.0123420345234422_dp, &
+         & 0.0117485917213713_dp, 0.0111796091714211_dp, 0.0106378474599467_dp, 0.0101254023894910_dp, &
+         & 0.0096437391308939_dp, 0.0091937427166329_dp, 0.0087757781180784_dp, 0.0083897549140914_dp, &
+         & 0.0080351939396337_dp, 0.0077112944674127_dp, 0.0074169998688376_dp, 0.0071510585238030_dp, &
+         & 0.0069120766737001_dp, 0.0066985615156341_dp, 0.0065089551894459_dp, 0.0063416618652496_dp, &
+         & 0.0061950701088733_dp, 0.0060675716597274_dp, 0.0059575768166411_dp, 0.0058635263875715_dp, &
+         & 0.0057839005133360_dp, 0.0057172252102902_dp, 0.0056620777879175_dp, 0.0056170921917698_dp, &
+         & 0.0055809649139178_dp, 0.0055524616432478_dp, 0.0055304244827141_dp, 0.0055137793684708_dp, &
+         & 0.0055015432323131_dp, 0.0054928304078032_dp, 0.0054868577607721_dp, 0.0054829480366578_dp, &
+         & 0.0054805309593178_dp, 0.0054791417026934_dp, 0.0054784164792494_dp, 0.0054780851400409_dp, &
+         & 0.0054779608467470_dp, 0.0054779270362530_dp, 0.0054779220459409_dp, 0.0054779216460474_dp, &
+         & 0.0054779142713244_dp, 0.0054778643066271_dp, 0.0054776806340726_dp, 0.0054771910525346_dp, &
+         & 0.0054761197274331_dp, 0.0054740684412451_dp, 0.0054705025807067_dp, 0.0054647428052732_dp, &
+         & 0.0054559633389459_dp, 0.0054431977878124_dp, 0.0054253532743900_dp, 0.0054012334683051_dp, &
+         & 0.0053695707490107_dp, 0.0053290672662740_dp, 0.0052784440753584_dp, 0.0052164968683144_dp, &
+         & 0.0051421561451264_dp, 0.0050545490080651_dp, 0.0049530591289368_dp, 0.0048373808075866_dp, &
+         & 0.0047075624488713_dp, 0.0045640344842752_dp, 0.0044076173451515_dp, 0.0042395071225343_dp, &
+         & 0.0040612397604889_dp, 0.0038746376048806_dp, 0.0036817434868936_dp, 0.0034847471449524_dp, &
+         & 0.0032859070526570_dp, 0.0030874684042459_dp, 0.0028915786847676_dp, 0.0027002084019330_dp, &
+         & 0.0025150888054526_dp, 0.0023376736591700_dp, 0.0021691263302301_dp, 0.0020103271504581_dp, &
+         & 0.0018618843554634_dp, 0.0017241420819261_dp, 0.0015972005647740_dp, 0.0014809427044753_dp, &
+         & 0.0013750665361698_dp, 0.0012791538382828_dp, 0.0011927108741929_dp, 0.0011151614314713_dp, &
+         & 0.0010459160666585_dp, 0.0009844287967269_dp, 0.0009299938179907_dp, 0.0008819159202318_dp, &
+         & 0.0008398107469105_dp, 0.0008031464138298_dp, 0.0007712288621207_dp, 0.0007435471051025_dp, &
+         & 0.0007196807806622_dp, 0.0006994884151368_dp, 0.0006825616418666_dp, 0.0006683064260642_dp, &
+         & 0.0006563928060501_dp, 0.0006465437543710_dp, 0.0006385094540775_dp, 0.0006320581705950_dp, &
+         & 0.0006269715652678_dp, 0.0006230434982939_dp, 0.0006200811456409_dp, 0.0006179071159238_dp, &
+         & 0.0006163615179844_dp, 0.0006153034034355_dp, 0.0006146114467782_dp, 0.0006141839587883_dp, &
+         & 0.0006139383595780_dp, 0.0006138101830260_dp, 0.0006137516292881_dp, 0.0006137296656021_dp, &
+         & 0.0006137236910888_dp, 0.0006137228092484_dp, 0.0006137227381231_dp, 0.0006137214210895_dp, &
+         & 0.0006137124977954_dp, 0.0006136796948368_dp, 0.0006135922546378_dp, 0.0006134008957872_dp, &
+         & 0.0006130344295485_dp, 0.0006123971753738_dp, 0.0006113673219375_dp, 0.0006097963967306_dp, &
+         & 0.0006075100610730_dp, 0.0006043105246363_dp, 0.0005999809558830_dp, 0.0005942931791196_dp, &
+         & 0.0005869068219226_dp, 0.0005783201642231_dp, 0.0005676856998065_dp, 0.0005549681638968_dp, &
+         & 0.0005400672572335_dp, 0.0005229422650217_dp, 0.0005036178653484_dp, 0.0004821874544234_dp, &
+         & 0.0004591365519673_dp, 0.0004346380083291_dp, 0.0004086374170527_dp, 0.0003814906289819_dp, &
+         & 0.0003537247225438_dp, 0.0003262280734901_dp, 0.0002989164159430_dp, 0.0002721631675229_dp, &
+         & 0.0002465402008198_dp, 0.0002222017323561_dp, 0.0001991093339484_dp, 0.0001776750213480_dp, &
+         & 0.0001581457676849_dp, 0.0001403478949840_dp, 0.0001242433390303_dp, 0.0001096010513777_dp, &
+         & 9.6163906491142397e-05_dp, 8.4327289741281702e-05_dp, 7.3734681635073698e-05_dp, 6.4138006280245504e-05_dp, &
+         & 5.5535014112706402e-05_dp, 4.7335489526290103e-05_dp, 3.8824168655082799e-05_dp, 3.0450775838630799e-05_dp, &
+         & 2.2460541828195299e-05_dp, 1.4936043768898300e-05_dp, 8.3972890649874898e-06_dp, 3.0937973178879500e-06_dp, &
+         & 2.6523516538645700e-06_dp, 2.0770546598214402e-06_dp, 5.6586021912607997e-07_dp, 1.8450844692097201e-06_dp, &
+         & 2.2121360387927801e-06_dp, 2.0805480858143702e-06_dp, 1.7664880402890000e-06_dp, 1.4819083133943399e-06_dp, &
+         & 1.3175270510146201e-06_dp, 1.2532057667158399e-06_dp, 1.2194071246085499e-06_dp, 1.1611705161840300e-06_dp, &
+         & 1.0584050471607000e-06_dp, 9.1686527525780495e-07_dp, 7.5398223486900004e-07_dp, 5.8864067398189903e-07_dp, &
+         &  4.3584967102105999e-07_dp, 3.0501469439059297e-07_dp, -4.2632564145605999e-14_dp, -4.2632564145605999e-14_dp, &
+         & -4.2632564145605999e-14_dp, -4.2632564145605999e-14_dp, -5.6843418860808002e-14_dp, -5.6843418860808002e-14_dp, &
+         & -5.6843418860808002e-14_dp &
+         &]
+      case (94)
+         out = [&
+         & 94.0000000000000000_dp, 93.9999998856023069_dp, 93.9999963481976977_dp, 93.9999723817198998_dp, &
+         & 93.9998842777859949_dp, 93.9996494202370059_dp, 93.9991354158361929_dp, 93.9981509424296036_dp, &
+         & 93.9964386424139065_dp, 93.9936703252636931_dp, 93.9894446706698972_dp, 93.9832875467883042_dp, &
+         & 93.9746549800625957_dp, 93.9629387382923937_dp, 93.9474744212050012_dp, 93.9275518962148936_dp, &
+         & 93.9024278733262037_dp, 93.8713403820890022_dp, 93.8335248922716971_dp, 93.7882318027968012_dp, &
+         & 93.7347450026948934_dp, 93.6724011749228964_dp, 93.6006094619686024_dp, 93.5188710385062052_dp, &
+         & 93.4267980446530970_dp, 93.3241312349504994_dp, 93.2107556114031013_dp, 93.0867132565436037_dp, &
+         & 92.9522125871604032_dp, 92.8076333281402981_dp, 92.6535266653463054_dp, 92.4906102694613992_dp, &
+         & 92.3197581683196944_dp, 92.1419857517768008_dp, 91.9584304840195017_dp, 91.7703291387726949_dp, &
+         & 91.5789925369542033_dp, 91.3857788406174052_dp, 91.1920664423432044_dp, 90.9992273989488041_dp, &
+         & 90.8086022143669993_dp, 90.6214766041618986_dp, 90.4390606973628053_dp, 90.2624709690767020_dp, &
+         & 90.0927150617202983_dp, 89.9306795486852053_dp, 89.7771206208552996_dp, 89.6326576286728027_dp, &
+         & 89.4977693834419057_dp, 89.3727931040485970_dp, 89.2579258830205049_dp, 89.1532285341754971_dp, &
+         & 89.0586316700699996_dp, 88.9739438396531028_dp, 88.8988615347761026_dp, 88.8329808491300952_dp, &
+         & 88.7758105459740960_dp, 88.7267862631457973_dp, 88.6852855569706975_dp, 88.6506434625168964_dp, &
+         & 88.6221682279393974_dp, 88.5991568671282010_dp, 88.5809101691375957_dp, 88.5667468063378038_dp, &
+         & 88.5560161970317949_dp, 88.5481098031037988_dp, 88.5424705793158040_dp, 88.5386003377191031_dp, &
+         & 88.5360648472693015_dp, 88.5344965534574015_dp, 88.5335948734021940_dp, 88.5331240957599022_dp, &
+         & 88.5329089891385053_dp, 88.5328282945020959_dp, 88.5328063435367056_dp, 88.5328031036177947_dp, &
+         & 88.5328026786088031_dp, 88.5327927764084990_dp, 88.5327256875316948_dp, 88.5324790615282069_dp, &
+         & 88.5318216456489040_dp, 88.5303828994501032_dp, 88.5276274991307019_dp, 88.5228357433587973_dp, &
+         & 88.5150907463258960_dp, 88.5032731577576044_dp, 88.4860639808798055_dp, 88.4619558637956942_dp, &
+         & 88.4292730129797064_dp, 88.3861996162279979_dp, 88.3308163654552061_dp, 88.2611443401994933_dp, &
+         & 88.1751951590999994_dp, 88.0710259443684009_dp, 87.9467972969193994_dp, 87.8008321794061004_dp, &
+         & 87.6316733903214953_dp, 87.4381372270783999_dp, 87.2193610169249069_dp, 86.9748424614619040_dp, &
+         & 86.7044691818250044_dp, 86.4085374146198006_dp, 86.0877594018744929_dp, 85.7432595311557009_dp, &
+         & 85.3765596235898983_dp, 84.9895539126725055_dp, 84.5844742793826043_dp, 84.1638463755948010_dp, &
+         & 83.7304375706004009_dp, 83.2871982962522992_dp, 82.8371992411180997_dp, 82.3835676217497053_dp, &
+         & 81.9294260168141051_dp, 81.4778367263725016_dp, 81.0317534193660975_dp, 80.5939804077351027_dp, &
+         & 80.1671387736644050_dp, 79.7536381002281018_dp, 79.3556526940056983_dp, 78.9751016733675044_dp, &
+         & 78.6136328153988018_dp, 78.2726104023606979_dp, 77.9531074265904067_dp, 77.6559024467495931_dp, &
+         & 77.3814812236416998_dp, 77.1300430774009982_dp, 76.9015117478073051_dp, 76.6955504247132041_dp, &
+         & 76.5115805446096999_dp, 76.3488039104389031_dp, 76.2062276705738952_dp, 76.0826916771228952_dp, &
+         & 75.9768977250835036_dp, 75.8874401483946031_dp, 75.8128372164515980_dp, 75.7515627379342931_dp, &
+         & 75.7020772425945978_dp, 75.6628580818593974_dp, 75.6324277719001969_dp, 75.6093799040040011_dp, &
+         & 75.5924019714176012_dp, 75.5802945125538059_dp, 75.5719860488306949_dp, 75.5665434006179026_dp, &
+         & 75.5631770937842049_dp, 75.5612417171966939_dp, 75.5602312517047068_dp, 75.5597695560822018_dp, &
+         & 75.5595963572097986_dp, 75.5595492428315936_dp, 75.5595422888449946_dp, 75.5595416749403057_dp, &
+         & 75.5595296457808985_dp, 75.5594481464432022_dp, 75.5591485460665950_dp, 75.5583499200011062_dp, &
+         & 75.5566021389826972_dp, 75.5532549008545971_dp, 75.5474339368181944_dp, 75.5380254728067939_dp, &
+         & 75.5236698511347981_dp, 75.5027650145400031_dp, 75.4734803190163035_dp, 75.4337808681078030_dp, &
+         & 75.3814622458367012_dp, 75.3141951678667994_dp, 75.2295791758592003_dp, 75.1252040800652026_dp, &
+         & 74.9987174291990044_dp, 74.8478958806856980_dp, 74.6707179897234994_dp, 74.4654356656120058_dp, &
+         & 74.2306413902954034_dp, 73.9653282837021067_dp, 73.6689402520249956_dp, 73.3414097778995000_dp, &
+         & 72.9831814043164968_dp, 72.5952196137389052_dp, 72.1790005815520033_dp, 71.7364881402402972_dp, &
+         & 71.2700951568989041_dp, 70.7826323125253936_dp, 70.2772468820135003_dp, 69.7573544699413048_dp, &
+         & 69.2265667204909931_dp, 68.6886178084156995_dp, 68.1472921067297932_dp, 67.6063549266441015_dp, &
+         & 67.0694877483557974_dp, 66.5402289852854949_dp, 66.0219210708108051_dp, 65.5176644930484002_dp, &
+         & 65.0302792676162937_dp, 64.5622741730569061_dp, 64.1158238534543017_dp, 63.6927536331853972_dp, &
+         & 63.2945316335679991_dp, 62.9222675790174009_dp, 62.5767175630895025_dp, 62.2582940178699005_dp, &
+         & 61.9670801757492029_dp, 61.7028484007008018_dp, 61.4650818662193004_dp, 61.2529991456423986_dp, &
+         & 61.0655813438362003_dp, 60.9016014317948020_dp, 60.7596554480126017_dp, 60.6381952063292999_dp, &
+         & 60.5355621047338985_dp, 60.4500215696981016_dp, 60.3797976028819008_dp, 60.3231068289773020_dp, &
+         & 60.2781913827950007_dp, 60.2433499283005034_dp, 60.2169660794898007_dp, 60.1975334990113993_dp, &
+         & 60.1836769897645993_dp, 60.1741689695193003_dp, 60.1679408283823989_dp, 60.1640888103806972_dp, &
+         & 60.1618742275693990_dp, 60.1607179998142030_dp, 60.1601897061617024_dp, 60.1599915243847008_dp, &
+         & 60.1599376140804978_dp, 60.1599296570305029_dp, 60.1599290187767011_dp, 60.1599172397561972_dp, &
+         & 60.1598374351554028_dp, 60.1595440649494009_dp, 60.1587620472934006_dp, 60.1570506187622982_dp, &
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+         & 0.0010679935830495_dp, 0.0009587036858818_dp, 0.0008563748495618_dp, 0.0007616750869914_dp, &
+         & 0.0006749825503931_dp, 0.0005966695588313_dp, 0.0005261037855746_dp, 0.0004631613349062_dp, &
+         & 0.0004073377679958_dp, 0.0003585938150508_dp, 0.0003158185563734_dp, 0.0002784275938978_dp, &
+         & 0.0002458235658054_dp, 0.0002174475693693_dp, 0.0001926961761427_dp, 0.0001711435986635_dp, &
+         & 0.0001522988231244_dp, 0.0001356312053957_dp, 0.0001207688707439_dp, 0.0001074143820432_dp, &
+         & 9.5336537995649505e-05_dp, 8.4358910044102204e-05_dp, 7.4354237952434205e-05_dp, 6.5298479640318901e-05_dp, &
+         & 5.7008297304150801e-05_dp, 4.9402057740621799e-05_dp, 4.2450225549828199e-05_dp, 3.6129980330201801e-05_dp, &
+         & 3.0421578699702002e-05_dp, 2.5306244467060400e-05_dp, 2.0763085586850101e-05_dp, 1.6769197486610200e-05_dp, &
+         & 1.3300548104666600e-05_dp, 1.0330932269653200e-05_dp, 7.8308230513357608e-06_dp, 5.7669033708407403e-06_dp, &
+         & 4.1021598065071902e-06_dp, 2.7963400839325901e-06_dp, 1.8066278073547399e-06_dp, 1.0884425591939400e-06_dp, &
+         & 5.9631470605836501e-07_dp, 2.8481963454396501e-07_dp, 2.8421709430404001e-14_dp, 2.8421709430404001e-14_dp, &
+         & 2.8421709430404001e-14_dp &
+         &]
+      case (95)
+         out = [&
+         & 95.0000000000000000_dp, 94.9999998839178943_dp, 94.9999962944297067_dp, 94.9999719750765053_dp, &
+         & 94.9998825739254045_dp, 94.9996442583934027_dp, 94.9991226858842026_dp, 94.9981237171232067_dp, &
+         & 94.9963862048060008_dp, 94.9935771251081036_dp, 94.9892892463169005_dp, 94.9830414506516973_dp, &
+         & 94.9742817461915934_dp, 94.9623929300284004_dp, 94.9467007955449986_dp, 94.9264847195809978_dp, &
+         & 94.9009904212414028_dp, 94.8694446529943036_dp, 94.8310715634975026_dp, 94.7851104543969996_dp, &
+         & 94.7308346321107990_dp, 94.6675710216229049_dp, 94.5947201555225945_dp, 94.5117760751879956_dp, &
+         & 94.4183455860694067_dp, 94.3141662072806071_dp, 94.1991220662523006_dp, 94.0732569355572963_dp, &
+         & 93.9367836145127058_dp, 93.7900889402483955_dp, 93.6337338780535049_dp, 93.4684483812636984_dp, &
+         & 93.2951210047822030_dp, 93.1147835706458977_dp, 92.9285914810513987_dp, 92.7378005184331045_dp, &
+         & 92.5437411369616996_dp, 92.3477913220040989_dp, 92.1513490751146946_dp, 91.9558054862916947_dp, &
+         & 91.7625192054259031_dp, 91.5727929473162021_dp, 91.3878524839026056_dp, 91.2088284126826068_dp, &
+         & 91.0367408536418026_dp, 90.8724871231245999_dp, 90.7168323605683042_dp, 90.5704030375353000_dp, &
+         & 90.4336832507026003_dp, 90.3070136839610029_dp, 90.1905931131600056_dp, 90.0844823156149062_dp, &
+         & 89.9886102323712009_dp, 89.9027822130774013_dp, 89.8266901510447013_dp, 89.7599242903986010_dp, &
+         & 89.7019864593948029_dp, 89.6523044555063962_dp, 89.6102472804674051_dp, 89.5751408988264046_dp, &
+         & 89.5462841734878054_dp, 89.5229646179174949_dp, 89.5044735988062996_dp, 89.4901206264295013_dp, &
+         & 89.4792463838685990_dp, 89.4712341713670014_dp, 89.4655194785761978_dp, 89.4615974448911970_dp, &
+         & 89.4590280254281964_dp, 89.4574387457755051_dp, 89.4565250002232943_dp, 89.4560479230947010_dp, &
+         & 89.4558299381380948_dp, 89.4557481637310019_dp, 89.4557259190411997_dp, 89.4557226357691064_dp, &
+         & 89.4557222050730019_dp, 89.4557121703720952_dp, 89.4556441837837042_dp, 89.4553942577009025_dp, &
+         & 89.4547280450476023_dp, 89.4532700474547937_dp, 89.4504777789132959_dp, 89.4456219105562980_dp, &
+         & 89.4377732947196051_dp, 89.4257976186603969_dp, 89.4083582674698931_dp, 89.3839277775563943_dp, &
+         & 89.3508080320886933_dp, 89.3071590844328966_dp, 89.2510361938982015_dp, 89.1804343231215029_dp, &
+         & 89.0933389869612995_dp, 88.9877819747721048_dp, 88.8619001156547057_dp, 88.7139949526549998_dp, &
+         & 88.5425909771588948_dp, 88.3464899919222972_dp, 88.1248192574564939_dp, 87.8770713504230940_dp, &
+         & 87.6031341103313963_dp, 87.3033096164537028_dp, 86.9783217261783932_dp, 86.6293122080357989_dp, &
+         & 86.2578258299588043_dp, 85.8657848995679984_dp, 85.4554537848335940_dp, 85.0293940475540069_dp, &
+         & 84.5904111914573065_dp, 84.1414947443791021_dp, 83.6857543193655999_dp, 83.2263550628200051_dp, &
+         & 82.7664560635151929_dp, 82.3091546360586932_dp, 81.8574380770424028_dp, 81.4141430292958006_dp, &
+         & 80.9819215283979048_dp, 80.5632124309401974_dp, 80.1602171592080026_dp, 79.7748792364907047_dp, &
+         & 79.4088676120063042_dp, 79.0635640948453045_dp, 78.7400552955405004_dp, 78.4391293737419062_dp, &
+         & 78.1612777034433037_dp, 77.9067013704748064_dp, 77.6753222555375942_dp, 77.4667983450085984_dp, &
+         & 77.2805428464758961_dp, 77.1157466527023985_dp, 76.9714036810860023_dp, 76.8463386030620939_dp, &
+         & 76.7392364610292930_dp, 76.6486736455659070_dp, 76.5731496730924022_dp, 76.5111191667841979_dp, &
+         & 76.4610234064721936_dp, 76.4213207825682019_dp, 76.3905154710712964_dp, 76.3671836473749011_dp, &
+         & 76.3499965807503003_dp, 76.3377400023243950_dp, 76.3293292184048937_dp, 76.3238195472834065_dp, &
+         & 76.3204117881151944_dp, 76.3184525800969027_dp, 76.3174296723184966_dp, 76.3169622916825006_dp, &
+         & 76.3167869601603996_dp, 76.3167392656493035_dp, 76.3167322260362937_dp, 76.3167316045724959_dp, &
+         & 76.3167194272946006_dp, 76.3166369244328990_dp, 76.3163336350000066_dp, 76.3155251752971964_dp, &
+         & 76.3137558737665955_dp, 76.3103674219070029_dp, 76.3044747887987000_dp, 76.2949504937617036_dp, &
+         & 76.2804181543134945_dp, 76.2592560212862054_dp, 76.2296109744903987_dp, 76.1894231752412026_dp, &
+         & 76.1364612525256064_dp, 76.0683675372134047_dp, 75.9827124585284963_dp, 75.8770567908791946_dp, &
+         & 75.7490200064874983_dp, 75.5963525765123023_dp, 75.4170097022552000_dp, 75.2092236825999976_dp, &
+         & 74.9715719667592992_dp, 74.7030379304160022_dp, 74.4030615683731043_dp, 74.0715776281183054_dp, &
+         & 73.7090392153715044_dp, 73.3164255705286934_dp, 72.8952335128357021_dp, 72.4474529249257984_dp, &
+         & 71.9755275289197982_dp, 71.4823029935459999_dp, 70.9709650132683976_dp, 70.4449703383389050_dp, &
+         & 69.9079737760012989_dp, 69.3637539538402024_dp, 68.8161402186067050_dp, 68.2689425524748970_dp, &
+         & 67.7258859339103054_dp, 67.1905502223154940_dp, 66.6663164152197965_dp, 66.1563199718393946_dp, &
+         & 65.6634117507232986_dp, 65.1901269173253013_dp, 64.7386619234859069_dp, 64.3108593715052024_dp, &
+         & 63.9082003029385035_dp, 63.5318032477132988_dp, 63.1824292615917003_dp, 62.8604921687145008_dp, &
+         & 62.5660732870963017_dp, 62.2989400145429002_dp, 62.0585677587214022_dp, 61.8441647853103973_dp, &
+         & 61.6546996200692021_dp, 61.4889306705464023_dp, 61.3454377325785032_dp, 61.2226550200808006_dp, &
+         & 61.1189053095215016_dp, 61.0324347291275018_dp, 60.9614476540970003_dp, 60.9041411001701007_dp, &
+         & 60.8587379465861034_dp, 60.8235182735445008_dp, 60.7968480761757988_dp, 60.7772046230239980_dp, &
+         & 60.7631977666898990_dp, 60.7535865898106024_dp, 60.7472908804436997_dp, 60.7433970738538989_dp, &
+         & 60.7411584666473985_dp, 60.7399896959618033_dp, 60.7394556713337010_dp, 60.7392553396687020_dp, &
+         & 60.7392008445428004_dp, 60.7391928011743971_dp, 60.7391921559966974_dp, 60.7391802491967994_dp, &
+         & 60.7390995788721000_dp, 60.7388030261767966_dp, 60.7380125251993022_dp, 60.7362825312601018_dp, &
+         & 60.7329693786793996_dp, 60.7272077559148968_dp, 60.7178953809384012_dp, 60.7036867911602016_dp, &
+         & 60.6829969656027970_dp, 60.6540152660388969_dp, 60.6147299117941998_dp, 60.5629628848286004_dp, &
+         & 60.4964147962536032_dp, 60.4127188371915977_dp, 60.3095024980588974_dp, 60.1844552918226015_dp, &
+         & 60.0354002880194031_dp, 59.8603668917983001_dp, 59.6576620263394020_dp, 59.4259367371591978_dp, &
+         & 59.1642452655643964_dp, 58.8720938549148016_dp, 58.5494769571316027_dp, 58.1968990749963027_dp, &
+         & 57.8153811632317982_dp, 57.4064512573999011_dp, 56.9721197392856027_dp, 56.5148403249601969_dp, &
+         & 56.0374584414981030_dp, 55.5431491274312990_dp, 55.0353469527207011_dp, 54.5176707097064011_dp, &
+         & 53.9938457690552980_dp, 53.4676270015299977_dp, 52.9427250099135023_dp, 52.4227380806928025_dp, &
+         & 51.9110917660471003_dp, 51.4109873918226015_dp, 50.9253601317622966_dp, 50.4568466758856999_dp, &
+         & 50.0077620224990014_dp, 49.5800845813686024_dp, 49.1754485985277014_dp, 48.7951428798051978_dp, &
+         & 48.4401148609150027_dp, 48.1109792019055007_dp, 47.8080302333304985_dp, 47.5312577222748018_dp, &
+         & 47.2803655423370017_dp, 47.0547929169726018_dp, 46.8537379607500029_dp, 46.6761832714481031_dp, &
+         & 46.5209233313016028_dp, 46.3865934612060968_dp, 46.2717000397933020_dp, 46.1746516523935995_dp, &
+         & 46.0937907761246990_dp, 46.0274255409940025_dp, 45.9738610387037028_dp, 45.9314295877094025_dp, &
+         & 45.8985193126380011_dp, 45.8736003659761025_dp, 45.8552481167487969_dp, 45.8421626597851031_dp, &
+         & 45.8331840628869003_dp, 45.8273028677915022_dp, 45.8236654913344026_dp, 45.8215743300175973_dp, &
+         & 45.8204825463447989_dp, 45.8199836993103986_dp, 45.8197965642328029_dp, 45.8197456589228977_dp, &
+         & 45.8197381454045995_dp, 45.8197375658898025_dp, 45.8197271596637989_dp, 45.8196566559519027_dp, &
+         & 45.8193974768636991_dp, 45.8187066006836972_dp, 45.8171946356279989_dp, 45.8142990438339979_dp, &
+         & 45.8092635921759026_dp, 45.8011249817089023_dp, 45.7887074623434032_dp, 45.7706260693813007_dp, &
+         & 45.7452989178294018_dp, 45.7109687526367026_dp, 45.6657336733820003_dp, 45.6075866291164971_dp, &
+         & 45.5344629170916022_dp, 45.4442945290812972_dp, 45.3350697899344013_dp, 45.2048963516074025_dp, &
+         & 45.0520652750729980_dp, 44.8751136879897032_dp, 44.6728833820524969_dp, 44.4445727376508017_dp, &
+         & 44.1897795493652978_dp, 43.9085326716873965_dp, 43.6013108894827965_dp, 43.2690480052851001_dp, &
+         & 42.9131237787272966_dp, 42.5353410048028024_dp, 42.1378896383796970_dp, 41.7232994377663005_dp, &
+         & 41.2943830975877972_dp, 40.8541722602665018_dp, 40.4058491139359006_dp, 39.9526764611776031_dp, &
+         & 39.4979291240637025_dp, 39.0448292957704979_dp, 38.5964879606217011_dp, 38.1558538479741003_dp, &
+         & 37.7256706770942003_dp, 37.3084428182988006_dp, 36.9064090336569990_dp, 36.5215236983775000_dp, &
+         & 36.1554448103186985_dp, 35.8095281045512976_dp, 35.4848266368461012_dp, 35.1820952411774002_dp, &
+         & 34.9017992870713982_dp, 34.6441271693283994_dp, 34.4090059704062980_dp, 34.1961197577841034_dp, &
+         & 34.0049300205228988_dp, 33.8346978082959993_dp, 33.6845072035935971_dp, 33.5532898223445031_dp, &
+         & 33.4398500891307009_dp, 33.3428910626362978_dp, 33.2610405910170002_dp, 33.1928775556769011_dp, &
+         & 33.1369579193918966_dp, 33.0918402376522991_dp, 33.0561102292957969_dp, 33.0284039436635979_dp, &
+         & 33.0074290162149993_dp, 32.9919834812405028_dp, 32.9809716155480999_dp, 32.9734163246683991_dp, &
+         & 32.9684676541629997_dp, 32.9654071108491991_dp, 32.9636476071556999_dp, 32.9627289890539998_dp, &
+         & 32.9623092651748024_dp, 32.9621518123087967_dp, 32.9621089813163977_dp, 32.9621026595519027_dp, &
+         & 32.9621021808870012_dp, 32.9620937013856974_dp, 32.9620362515295966_dp, 32.9618250599630969_dp, &
+         & 32.9612621021839018_dp, 32.9600300899489014_dp, 32.9576706663262016_dp, 32.9535676939894984_dp, &
+         & 32.9469364286660991_dp, 32.9368192579214991_dp, 32.9220885531770975_dp, 32.9014570240066035_dp, &
+         & 32.8734957720908980_dp, 32.8366600128523984_dp, 32.7893221638873982_dp, 32.7298116937322021_dp, &
+         & 32.6564607909668965_dp, 32.5676545674975984_dp, 32.4618841726198966_dp, 32.3378008927137017_dp, &
+         & 32.1942690743353026_dp, 32.0304155647384974_dp, 31.8456733380632002_dp, 31.6398170847839992_dp, &
+         & 31.4129887937965009_dp, 31.1657117469281992_dp, 30.8988918598438005_dp, 30.6138059164135008_dp, &
+         & 30.3120769220215003_dp, 29.9956375036040015_dp, 29.6666829620062984_dp, 29.3276161815303986_dp, &
+         & 28.9809870661107993_dp, 28.6294294494507007_dp, 28.2755984790988997_dp, 27.9221112865178007_dp, &
+         & 27.5714933419550015_dp, 27.2261323017852988_dp, 26.8882404605154015_dp, 26.5598262068961013_dp, &
+         & 26.2426742379540983_dp, 25.9383337726974013_dp, 25.6481136670402989_dp, 25.3730831701710002_dp, &
+         & 25.1140770598948002_dp, 24.8717040118577017_dp, 24.6463572488625005_dp, 24.4382267377662004_dp, &
+         & 24.2473124175629984_dp, 24.0734381298884017_dp, 23.9162660705200985_dp, 23.7753116848421016_dp, &
+         & 23.6499589948830007_dp, 23.5394763764697998_dp, 23.4430328088590016_dp, 23.3597146018233985_dp, &
+         & 23.2885425714417984_dp, 23.2284895897200983_dp, 23.1784983782581016_dp, 23.1374993561225999_dp, &
+         & 23.1044282909771006_dp, 23.0782434449739995_dp, 23.0579418579221986_dp, 23.0425743748680993_dp, &
+         & 23.0312590080920998_dp, 23.0231922283227988_dp, 23.0176578089226993_dp, 23.0140329003292017_dp, &
+         & 23.0117910884983985_dp, 23.0105022869010014_dp, 23.0098294214203989_dp, 23.0095219847892984_dp, &
+         & 23.0094066548834988_dp, 23.0093752823705984_dp, 23.0093706518539989_dp, 23.0093703042396989_dp, &
+         & 23.0093641858336007_dp, 23.0093227327461989_dp, 23.0091703470200990_dp, 23.0087641442215016_dp, &
+         & 23.0078751874438012_dp, 23.0061727599459012_dp, 23.0032123214692987_dp, 22.9984277267562014_dp, &
+         & 22.9911282066168994_dp, 22.9805005179978004_dp, 22.9656165544556004_dp, 22.9454465664958995_dp, &
+         & 22.9188779676472016_dp, 22.8847394948237017_dp, 22.8418302525499008_dp, 22.7889529076795014_dp, &
+         & 22.7249500284220005_dp, 22.6487422992783998_dp, 22.5593671174971000_dp, 22.4560159151658993_dp, &
+         & 22.3380684811775012_dp, 22.2051226004218982_dp, 22.0570174945654998_dp, 21.8938498362088012_dp, &
+         & 21.7159814963588005_dp, 21.5240386391683991_dp, 21.3189022522862004_dp, 21.1016906474579002_dp, &
+         & 20.8737348420868010_dp, 20.6365480111713993_dp, 20.3917903735261987_dp, 20.1412309591772996_dp, &
+         & 19.8867077214448997_dp, 19.6300874329877004_dp, 19.3732267535214007_dp, 19.1179357727308989_dp, &
+         & 18.8659451939852012_dp, 18.6188781092554017_dp, 18.3782270148659990_dp, 18.1453363513961001_dp, &
+         & 17.9213904675251001_dp, 17.7074065691369000_dp, 17.5042319757939993_dp, 17.3125448944668996_dp, &
+         & 17.1328579299211015_dp, 16.9655236509743013_dp, 16.8107416789818984_dp, 16.6685669194976001_dp, &
+         & 16.5389186924325990_dp, 16.4215906169294001_dp, 16.3162611729120002_dp, 16.2225048968758010_dp, &
+         & 16.1398041822081986_dp, 16.0675616508050005_dp, 16.0051130477825012_dp, 15.9517405876911997_dp, &
+         & 15.9066866507284992_dp, 15.8691676925612999_dp, 15.8383881933098003_dp, 15.8135544324413004_dp, &
+         & 15.7938878398360991_dp, 15.7786376426714003_dp, 15.7670925067123004_dp, 15.7585908625047004_dp, &
+         & 15.7525296145231000_dp, 15.7483709561386007_dp, 15.7456470555838006_dp, 15.7439624366604995_dp, &
+         & 15.7429939501065999_dp, 15.7424883134361000_dp, 15.7422572840001997_dp, 15.7421706169045006_dp, &
+         & 15.7421470413551994_dp, 15.7421435616536005_dp, 15.7421433012255996_dp, 15.7421387279801994_dp, &
+         & 15.7421077435752004_dp, 15.7419938417042005_dp, 15.7416902217469001_dp, 15.7410257600005998_dp, &
+         & 15.7397532481572995_dp, 15.7375403765847999_dp, 15.7339638876432009_dp, 15.7285072631056995_dp, &
+         & 15.7205622372900002_dp, 15.7094343404208008_dp, 15.6943525715348002_dp, 15.6744831741140995_dp, &
+         & 15.6489473395545993_dp, 15.6168424952609008_dp, 15.5772666509671005_dp, 15.5293450883056998_dp, &
+         & 15.4722584982257008_dp, 15.4052715153516004_dp, 15.3277604860526004_dp, 15.2392392551917002_dp, &
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+         & 0.0160945807483301_dp, 0.0152318988550348_dp, 0.0143467781107489_dp, 0.0134502635923610_dp, &
+         & 0.0125534529948368_dp, 0.0116670540984103_dp, 0.0108009865412129_dp, 0.0099640535050298_dp, &
+         & 0.0091637008608672_dp, 0.0084058720286180_dp, 0.0076949575887682_dp, 0.0070338306927056_dp, &
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+         & 0.0017178100904260_dp, 0.0017156985001776_dp, 0.0017122902420113_dp, 0.0017071010743308_dp, &
+         & 0.0016995687338408_dp, 0.0016890650809955_dp, 0.0016749151226065_dp, 0.0016564232076632_dp, &
+         & 0.0016329061663498_dp, 0.0016037324494960_dp, 0.0015683654655874_dp, 0.0015264083973960_dp, &
+         & 0.0014776469441102_dp, 0.0014220858471532_dp, 0.0013599748930773_dp, 0.0012918204850649_dp, &
+         & 0.0012183799014736_dp, 0.0011406369690121_dp, 0.0010597598960942_dp, 0.0009770441507868_dp, &
+         & 0.0008938451758382_dp, 0.0008115070717025_dp, 0.0007312938900128_dp, 0.0006543297578503_dp, &
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+         & 0.0001928223100265_dp, 0.0001667101843452_dp, 0.0001443106659025_dp, 0.0001251634524380_dp, &
+         & 1.0883039956866001e-04_dp, 9.4905322058025404e-05_dp, 8.3019837575193405e-05_dp, 7.2846495228873196e-05_dp, &
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+         & 2.3078759610939401e-05_dp, 1.9972867917772399e-05_dp, 1.7148063548688700e-05_dp, 1.4586930944915400e-05_dp, &
+         & 1.2276789902898599e-05_dp, 1.0207659926209100e-05_dp, 8.3706830196206300e-06_dp, 6.7569557558044801e-06_dp, &
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+         & 1.6503688868851900e-06_dp, 1.1249010469782699e-06_dp, 7.2671755901865296e-07_dp, 4.3781103897799799e-07_dp, &
+         &  1.4210854715202001e-14_dp, 0.0000000000000000e+00_dp, 1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, &
+         & 0.0000000000000000_dp &
+         &]
+      case (96)
+         out = [&
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+         & 95.9998808527188032_dp, 95.9996390439999061_dp, 95.9991098263353990_dp, 95.9980962146505021_dp, &
+         & 95.9963332333581008_dp, 95.9934829761288029_dp, 95.9891322396642011_dp, 95.9827928491265965_dp, &
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+         & 91.3689779237645041_dp, 91.2405986995503042_dp, 91.1226096993579944_dp, 91.0150716778094022_dp, &
+         & 90.9179119020522961_dp, 90.8309325041974063_dp, 90.7538207456979933_dp, 90.6861609738744932_dp, &
+         & 90.6274480223165000_dp, 90.5771017778201042_dp, 90.5344826085477052_dp, 90.4989073230023990_dp, &
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+         & 90.3812448922263059_dp, 90.3796344170089014_dp, 90.3787084853766061_dp, 90.3782250458026937_dp, &
+         & 90.3780041537435039_dp, 90.3779212887740044_dp, 90.3778987474239983_dp, 90.3778954203655047_dp, &
+         & 90.3778949839256001_dp, 90.3778848153995966_dp, 90.3778159221274962_dp, 90.3775626629824984_dp, &
+         & 90.3768875656333961_dp, 90.3754101242259935_dp, 90.3725806189297032_dp, 90.3676599970309979_dp, &
+         & 90.3597067262321048_dp, 90.3475713812720045_dp, 90.3298995519938046_dp, 90.3051434601818954_dp, &
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+         & 88.5008025250075008_dp, 88.1970441776774976_dp, 87.8678017475059931_dp, 87.5142345765923011_dp, &
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+         & 83.6018134086726974_dp, 83.1387310200741041_dp, 82.6813118522724011_dp, 82.2324255296132947_dp, &
+         & 81.7947557499580000_dp, 81.3707713452859025_dp, 80.9627014931930944_dp, 80.5725146632835987_dp, &
+         & 80.2019014045638983_dp, 79.8522613675289961_dp, 79.5246949930860012_dp, 79.2200001667228975_dp, &
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+         & 77.4989513960987040_dp, 77.4072691989570956_dp, 77.3308123960538012_dp, 77.2680161810253026_dp, &
+         & 77.2173023388325959_dp, 77.1771100573369040_dp, 77.1459249384296015_dp, 77.1223055191778002_dp, &
+         & 77.1049066374332028_dp, 77.0924990275342026_dp, 77.0839846114346017_dp, 77.0784070579682066_dp, &
+         & 77.0749573149027043_dp, 77.0729739698459042_dp, 77.0719384602225972_dp, 77.0714653216687964_dp, &
+         & 77.0712878301478952_dp, 77.0712395480642982_dp, 77.0712324217268048_dp, 77.0712317926067954_dp, &
+         & 77.0712194653110032_dp, 77.0711359460561027_dp, 77.0708289202584069_dp, 77.0700105008107954_dp, &
+         & 77.0682194027843934_dp, 77.0647892086487047_dp, 77.0588239873163019_dp, 77.0491823756348992_dp, &
+         & 77.0344710516528011_dp, 77.0130483213657016_dp, 76.9830382993893068_dp, 76.9423558835335939_dp, &
+         & 76.8887423996068975_dp, 76.8198114255252023_dp, 76.7331038979755959_dp, 76.6261511724597000_dp, &
+         & 76.4965442681319985_dp, 76.3420071092332932_dp, 76.1604712073387020_dp, 75.9501489478103053_dp, &
+         & 75.7096024833693946_dp, 75.4378052263868000_dp, 75.1341930903759021_dp, 74.7987029713647047_dp, &
+         & 74.4317964805808998_dp, 74.0344676259695973_dp, 73.6082339578514961_dp, 73.1551115874496958_dp, &
+         & 72.6775753765835049_dp, 72.1785063860189950_dp, 71.6611292613698936_dp, 71.1289425547831939_dp, &
+         & 70.5856450009799943_dp, 70.0350605215222970_dp, 69.4810643105404040_dp, 68.9275118762160020_dp, &
+         & 68.3781724823978010_dp, 67.8366681153434001_dp, 67.3064188912599946_dp, 66.7905956695392007_dp, &
+         & 66.2920804745986061_dp, 65.8134351062121965_dp, 65.3568780285624058_dp, 64.9242693101177935_dp, &
+         & 64.5171030997183976_dp, 64.1365069213804020_dp, 63.7832469758071028_dp, 63.4577386427949008_dp, &
+         & 63.1600614556211966_dp, 62.8899779286878982_dp, 62.6469557307542004_dp, 62.4301927865692008_dp, &
+         & 62.2386449493162033_dp, 62.0710559129460009_dp, 61.9259890298569005_dp, 61.8018606703206004_dp, &
+         & 61.6969747111935973_dp, 61.6095576788977013_dp, 61.5377940019777014_dp, 61.4798607589117978_dp, &
+         & 61.4339612449334993_dp, 61.3983566352511971_dp, 61.3713949986646981_dp, 61.3515369215747981_dp, &
+         & 61.3373770423567990_dp, 61.3276608723251968_dp, 61.3212963915372029_dp, 61.3173600521249966_dp, &
+         & 61.3150969926250013_dp, 61.3139154555966002_dp, 61.3133755979115023_dp, 61.3131730780639970_dp, &
+         & 61.3131179876992007_dp, 61.3131098564747035_dp, 61.3131092042498977_dp, 61.3130971673946021_dp, &
+         & 61.3130156159253019_dp, 61.3127158240522974_dp, 61.3119166886409985_dp, 61.3101677985793998_dp, &
+         & 61.3068184581414002_dp, 61.3009939058839990_dp, 61.2915798241272967_dp, 61.2772160638047012_dp, &
+         & 61.2563003108281023_dp, 61.2270021866702976_dp, 61.1872880008588993_dp, 61.1349560513852026_dp, &
+         & 61.0676819993311994_dp, 60.9830734309704994_dp, 60.8787322766022996_dp, 60.7523233016479978_dp, &
+         & 60.6016464519788016_dp, 60.4247104590260022_dp, 60.2198048317778998_dp, 59.9855672219868978_dp, &
+         & 59.7210431782514988_dp, 59.4257355226885977_dp, 59.0996409896626034_dp, 58.7432723358092019_dp, &
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+         & 1.1326940614253500e-04_dp, 9.8325150105438297e-05_dp, 8.4598096080412702e-05_dp, 7.2066133839143704e-05_dp, &
+         & 6.0709614615461801e-05_dp, 5.0507055433968203e-05_dp, 4.1431953292203602e-05_dp, 3.3450621685915401e-05_dp, &
+         & 2.6520943038121900e-05_dp, 2.0591891285448599e-05_dp, 1.5603662433250099e-05_dp, 1.1488265528214500e-05_dp, &
+         & 8.1704550325412095e-06_dp, 5.5689139202286200e-06_dp, 3.5976221397504602e-06_dp, 2.1673684216239100e-06_dp, &
+         &  1.1873872978185299e-06_dp, 5.6712919160872801e-07_dp, -7.1054273576010006e-14_dp, -7.1054273576010006e-14_dp, &
+         & -7.1054273576010006e-14_dp &
+         &]
+      case (97)
+         out = [&
+         & 97.0000000000000000_dp, 96.9999998804239993_dp, 96.9999961828977035_dp, 96.9999711315692963_dp, &
+         & 96.9998790395787012_dp, 96.9996335510951013_dp, 96.9990962799381009_dp, 96.9980672432527058_dp, &
+         & 96.9962774327540984_dp, 96.9933837989787975_dp, 96.9889668484370020_dp, 96.9825309730070018_dp, &
+         & 96.9735075494547942_dp, 96.9612607690766026_dp, 96.9450960875518035_dp, 96.9242711267918935_dp, &
+         & 96.8980088159494954_dp, 96.8655125274953974_dp, 96.8259829431015930_dp, 96.7786363666835001_dp, &
+         & 96.7227241797586004_dp, 96.6575530980382069_dp, 96.5825058304843935_dp, 96.4970616601957971_dp, &
+         & 96.4008163648815071_dp, 96.2935007861701990_dp, 96.1749972621409057_dp, 96.0453530813676934_dp, &
+         & 95.9047901241620053_dp, 95.7537099457348972_dp, 95.5926937329558939_dp, 95.4224968222766989_dp, &
+         & 95.2440377771690976_dp, 95.0583823536536983_dp, 94.8667229919027051_dp, 94.6703547231861933_dp, &
+         & 94.4706485472442949_dp, 94.2690234026585046_dp, 94.0669178247846958_dp, 93.8657622784946000_dp, &
+         & 93.6669529913476993_dp, 93.4718279248532014_dp, 93.2816453329631941_dp, 93.0975651875393027_dp, &
+         & 92.9206336121049929_dp, 92.7517703618074023_dp, 92.5917593169825039_dp, 92.4412419138173931_dp, &
+         & 92.3007134103309994_dp, 92.1705218713335057_dp, 92.0508697455750990_dp, 91.9418178972400000_dp, &
+         & 91.8432919394848994_dp, 91.7550906987319053_dp, 91.6768966149853952_dp, 91.6082878564499055_dp, &
+         & 91.5487518975537995_dp, 91.4977002797590018_dp, 91.4544842459787048_dp, 91.4184109138416972_dp, &
+         & 91.3887596322049944_dp, 91.3647981509868004_dp, 91.3457982282273946_dp, 91.3310503017258952_dp, &
+         & 91.3198768668264051_dp, 91.3116442276422049_dp, 91.3057723264284959_dp, 91.3017424045087012_dp, &
+         & 91.2991023070500063_dp, 91.2974693113519038_dp, 91.2965304318579030_dp, 91.2960402320948958_dp, &
+         & 91.2958162511951059_dp, 91.2957322274859990_dp, 91.2957093709299983_dp, 91.2957059973475964_dp, &
+         & 91.2957055548047975_dp, 91.2956952440876961_dp, 91.2956253874496042_dp, 91.2953685868715041_dp, &
+         & 91.2946840493773948_dp, 91.2931859485209003_dp, 91.2903168782041945_dp, 91.2853274533257064_dp, &
+         & 91.2772629810793035_dp, 91.2649579752443003_dp, 91.2470391104848062_dp, 91.2219370100599036_dp, &
+         & 91.1879070236187061_dp, 91.1430588781853004_dp, 91.0853947739468026_dp, 91.0128551503629950_dp, &
+         & 90.9233709767839002_dp, 90.8149210421704964_dp, 90.6855923564040012_dp, 90.5336414657143962_dp, &
+         & 90.3575542688479061_dp, 90.1561018426595950_dp, 89.9283898824971004_dp, 89.6738996499301066_dp, &
+         & 89.3925187792356013_dp, 89.0845608627169980_dp, 88.7507733141372057_dp, 88.3923334883532021_dp, &
+         & 88.0108333351686980_dp, 87.6082529895983981_dp, 87.1869237615714070_dp, 86.7494811825336001_dp, &
+         & 86.2988092813667009_dp, 85.8379781335244019_dp, 85.3701777334979965_dp, 84.8986519376331046_dp, &
+         & 84.4266361691748983_dp, 83.9573016306157029_dp, 83.4937072433885987_dp, 83.0387590420812955_dp, &
+         & 82.5951758337131992_dp, 82.1654597796908064_dp, 81.7518709780811008_dp, 81.3564057480691929_dp, &
+         & 80.9807788300608991_dp, 80.6264099650526020_dp, 80.2944153134041017_dp, 79.9856040067186029_dp, &
+         & 79.7004798997950985_dp, 79.4392483774198013_dp, 79.2018279104740941_dp, 78.9878659545870931_dp, &
+         & 78.7967587317223064_dp, 78.6276744132443071_dp, 78.4795792151076057_dp, 78.3512659088347050_dp, &
+         & 78.2413842379799007_dp, 78.1484727057185040_dp, 78.0709911658897937_dp, 78.0073536109122045_dp, &
+         & 77.9559605110142968_dp, 77.9152300266561042_dp, 77.8836273965118977_dp, 77.8596918031025069_dp, &
+         & 77.8420600421196980_dp, 77.8294863730622950_dp, 77.8208580093675977_dp, 77.8152058148784960_dp, &
+         & 77.8117099071100995_dp, 77.8097000211790970_dp, 77.8086506546087975_dp, 77.8081711846514992_dp, &
+         & 77.8079913179943929_dp, 77.8079423898154943_dp, 77.8079351681156055_dp, 77.8079345305770005_dp, &
+         & 77.8079220383212942_dp, 77.8078374014390022_dp, 77.8075262671267041_dp, 77.8066968959018936_dp, &
+         & 77.8048818302527962_dp, 77.8014057355343027_dp, 77.7953606935865025_dp, 77.7855900729431937_dp, &
+         & 77.7706819179699949_dp, 77.7489725890182939_dp, 77.7185611412867985_dp, 77.6773346458644056_dp, &
+         & 77.6230043283212012_dp, 77.5531520277412056_dp, 77.4652860672997008_dp, 77.3569051884741015_dp, &
+         & 77.2255687545684992_dp, 77.0689710025800991_dp, 76.8850167483085016_dp, 76.6718956634413047_dp, &
+         & 76.4281520796722020_dp, 76.1527472636047946_dp, 75.8451112693848017_dp, 75.5051818255602996_dp, &
+         & 75.1334282478559032_dp, 74.7308590739252026_dp, 74.2990129534190942_dp, 73.8399332368939980_dp, &
+         & 73.3561276064576049_dp, 72.8505148799267062_dp, 72.3263617007233961_dp, 71.7872121266104983_dp, &
+         & 71.2368131311203001_dp, 70.6790387741085055_dp, 70.1178153778563029_dp, 69.5570495822462931_dp, &
+         & 69.0005607498959961_dp, 68.4520189016155030_dp, 67.9148891720242034_dp, 67.3923836243063050_dp, &
+         & 66.8874210805176972_dp, 66.4025953662896029_dp, 65.9401520424909933_dp, 65.5019733513170053_dp, &
+         & 65.0895708068922971_dp, 64.7040846628865012_dp, 64.3462894105492040_dp, 64.0166044848497933_dp, &
+         & 63.7151094480774987_dp, 63.4415630391322978_dp, 63.1954255905192994_dp, 62.9758844040644021_dp, &
+         & 62.7818817324450009_dp, 62.6121450363802978_dp, 62.4652191803669012_dp, 62.3395001983065029_dp, &
+         & 62.2332702098520016_dp, 62.1447330046366986_dp, 62.0720497411162029_dp, 62.0133741365538000_dp, &
+         & 61.9668864623186977_dp, 61.9308256120121001_dp, 61.9035184864846002_dp, 61.8834059460335979_dp, &
+         & 61.8690646206672028_dp, 61.8592239466037981_dp, 61.8527779106711009_dp, 61.8487911305745968_dp, &
+         & 61.8464990719802969_dp, 61.8453023946056035_dp, 61.8447556191240011_dp, 61.8445505041647010_dp, &
+         & 61.8444947078657989_dp, 61.8444864724469028_dp, 61.8444858118645016_dp, 61.8444736207675021_dp, &
+         & 61.8443910242885977_dp, 61.8440873908491966_dp, 61.8432780152275967_dp, 61.8415067146932032_dp, &
+         & 61.8381144554296966_dp, 61.8322152666958971_dp, 61.8226805518014970_dp, 61.8081327325324992_dp, &
+         & 61.7869489624731969_dp, 61.7572754082341007_dp, 61.7170523190684008_dp, 61.6640497795572031_dp, &
+         & 61.5959136656518993_dp, 61.5102209061136023_dp, 61.4045427019041981_dp, 61.2765138968878986_dp, &
+         & 61.1239062546227032_dp, 60.9447030155059011_dp, 60.7371718272970966_dp, 60.4999329999838977_dp, &
+         & 60.2320200654494968_dp, 59.9329298415834018_dp, 59.6026596077636981_dp, 59.2417295698917030_dp, &
+         & 58.8511894835894012_dp, 58.4326090553933994_dp, 57.9880524933049983_dp, 57.5200382793367027_dp, &
+         & 57.0314858550463981_dp, 56.5256514311920029_dp, 56.0060555477557998_dp, 55.4764053100032015_dp, &
+         & 54.9405143874304969_dp, 54.4022238539275023_dp, 53.8653267424405016_dp, 53.3334987818022981_dp, &
+         & 52.8102372085105998_dp, 52.2988088687509034_dp, 51.8022081342747001_dp, 51.3231245381543033_dp, &
+         & 50.8639195598626017_dp, 50.4266116858073019_dp, 50.0128687372691019_dp, 49.6240064604446971_dp, &
+         & 49.2609924666068011_dp, 48.9244547475094009_dp, 48.6146941348569968_dp, 48.3317001993819986_dp, &
+         & 48.0751701842116006_dp, 47.8445306372941985_dp, 47.6389614518460007_dp, 47.4574220462504996_dp, &
+         & 47.2986794187784980_dp, 47.1613377996321006_dp, 47.0438695940785010_dp, 46.9446472669228996_dp, &
+         & 46.8619757624892017_dp, 46.7941249895349003_dp, 46.7393618328093012_dp, 46.6959810894224034_dp, &
+         & 46.6623346768351013_dp, 46.6368584280973977_dp, 46.6180957860908975_dp, 46.6047177373527006_dp, &
+         & 46.5955383905439007_dp, 46.5895257048716971_dp, 46.5858070068319989_dp, 46.5836690937317002_dp, &
+         & 46.5825529014297004_dp, 46.5820429018943969_dp, 46.5818515831292999_dp, 46.5817995397551030_dp, &
+         & 46.5817918582608996_dp, 46.5817912657902014_dp, 46.5817806269174000_dp, 46.5817085469901997_dp, &
+         & 46.5814435735735017_dp, 46.5807372518845995_dp, 46.5791914849308029_dp, 46.5762311593045979_dp, &
+         & 46.5710831376214998_dp, 46.5627625912104008_dp, 46.5500674984372012_dp, 46.5315819605342966_dp, &
+         & 46.5056887818549995_dp, 46.4705915186661969_dp, 46.4243459150170992_dp, 46.3649003145130010_dp, &
+         & 46.2901442671351973_dp, 46.1979641518712967_dp, 46.0863042281836002_dp, 45.9532311393192998_dp, &
+         & 45.7969995513481010_dp, 45.6161163596253019_dp, 45.4094007633866994_dp, 45.1760375264518999_dp, &
+         & 44.9156209221512981_dp, 44.6281872019559032_dp, 44.3142339110027024_dp, 43.9747249663804993_dp, &
+         & 43.6110810739594967_dp, 43.2251557447473971_dp, 42.8191978465900007_dp, 42.3958022637479033_dp, &
+         & 41.9578508101254002_dp, 41.5084460185480992_dp, 41.0508407598643998_dp, 40.5883667719140036_dp, &
+         & 40.1243650492632966_dp, 39.6621206498401975_dp, 39.2048038666123020_dp, 38.7554190023001013_dp, &
+         & 38.3167613080530032_dp, 37.8913821135706996_dp, 37.4815618356081970_dp, 37.0892903864369003_dp, &
+         & 36.7162544526624970_dp, 36.3638311092374025_dp, 36.0330872254005996_dp, 35.7247840912651000_dp, &
+         & 35.4393866535355002_dp, 35.1770767157132980_dp, 34.9377694502084992_dp, 34.7211325961919002_dp, &
+         & 34.5266077761651005_dp, 34.3534334460132982_dp, 34.2006690832536009_dp, 34.0672203014572972_dp, &
+         & 33.9518646431731028_dp, 33.8532778411449016_dp, 33.7700603450113022_dp, 33.7007638892920980_dp, &
+         & 33.6439178333649025_dp, 33.5980549431412001_dp, 33.5617362168608011_dp, 33.5335742941257990_dp, &
+         & 33.5122549379969001_dp, 33.4965560534424966_dp, 33.4853637083818967_dp, 33.4776846600213034_dp, &
+         & 33.4726549600981969_dp, 33.4695443158008032_dp, 33.4677560133457987_dp, 33.4668223609511983_dp, &
+         & 33.4663957680661994_dp, 33.4662357384453983_dp, 33.4661922065175972_dp, 33.4661857812966019_dp, &
+         & 33.4661852947983007_dp, 33.4661766765291020_dp, 33.4661182865013984_dp, 33.4659036387965969_dp, &
+         & 33.4653314684628995_dp, 33.4640792960023035_dp, 33.4616812678294977_dp, 33.4575111765456015_dp, &
+         & 33.4507714686073996_dp, 33.4404889344640992_dp, 33.4255176427137997_dp, 33.4045495189229982_dp, &
+         & 33.3761327748738026_dp, 33.3386981598990033_dp, 33.2905927305883012_dp, 33.2301205212206980_dp, &
+         & 33.1555891536656020_dp, 33.0653610678143011_dp, 32.9579077040221975_dp, 32.8318646549926001_dp, &
+         & 32.6860855564388970_dp, 32.5196923340011992_dp, 32.3321193948515031_dp, 32.1231494656672965_dp, &
+         & 31.8929390437679992_dp, 31.6420318431154008_dp, 31.3713591671996994_dp, 31.0822267999291988_dp, &
+         & 30.7762887352686008_dp, 30.4555088174681998_dp, 30.1221120781709999_dp, 29.7785281706006018_dp, &
+         & 29.4273297509561012_dp, 29.0711688890287014_dp, 28.7127145700809017_dp, 28.3545940742428009_dp, &
+         & 27.9993405191959006_dp, 27.6493481907656005_dp, 27.3068365511095017_dp, 26.9738230993264985_dp, &
+         & 26.6521046476795007_dp, 26.3432461262109001_dp, 26.0485757643557996_dp, 25.7691854126251982_dp, &
+         & 25.5059348276356985_dp, 25.2594589027867009_dp, 25.0301770355570987_dp, 24.8183040386434008_dp, &
+         & 24.6238621962300002_dp, 24.4466942223393993_dp, 24.2864769906229014_dp, 24.1427359770664012_dp, &
+         & 24.0148603956998983_dp, 23.9021190200259994_dp, 23.8036766759684006_dp, 23.7186113703186017_dp, &
+         & 23.6459319850347001_dp, 23.5845964245613011_dp, 23.5335300527356992_dp, 23.4916442004756014_dp, &
+         & 23.4578544688207984_dp, 23.4310984983702006_dp, 23.4103528307064011_dp, 23.3946484551620983_dp, &
+         & 23.3830846200192006_dp, 23.3748404947267012_dp, 23.3691843012672003_dp, 23.3654795888349014_dp, &
+         & 23.3631884048507992_dp, 23.3618712134139983_dp, 23.3611835242097001_dp, 23.3608693141156998_dp, &
+         & 23.3607514431885015_dp, 23.3607193794502983_dp, 23.3607146469101998_dp, 23.3607142916368993_dp, &
+         & 23.3607080384246011_dp, 23.3606656720031012_dp, 23.3605099287286997_dp, 23.3600947756681983_dp, &
+         & 23.3591862300863014_dp, 23.3574462824168982_dp, 23.3544205795646000_dp, 23.3495304560298003_dp, &
+         & 23.3420698190106002_dp, 23.3312072964586008_dp, 23.3159939388830999_dp, 23.2953766210411004_dp, &
+         & 23.2682171140877010_dp, 23.2333165904307002_dp, 23.1894450847183009_dp, 23.1353751728022985_dp, &
+         & 23.0699188601421987_dp, 22.9919664120318004_dp, 22.9005256351725990_dp, 22.7947599607179008_dp, &
+         & 22.6740236086856015_dp, 22.5378921523085012_dp, 22.3861869577240000_dp, 22.2189922447901012_dp, &
+         & 22.0366638791796987_dp, 21.8398294315751009_dp, 21.6293794863001985_dp, 21.4064506085466988_dp, &
+         & 21.1724007543242010_dp, 20.9287782128658009_dp, 20.6772854059387008_dp, 20.4197390417504003_dp, &
+         & 20.1580282427474984_dp, 19.8940723353347018_dp, 19.6297799868958016_dp, 19.3670112705367004_dp, &
+         & 19.1075440035547999_dp, 18.8530453394829998_dp, 18.6050491319995999_dp, 18.3649391036189016_dp, &
+         & 18.1339374280325991_dp, 17.9130980412646004_dp, 17.7033038635949005_dp, 17.5052671277498995_dp, &
+         & 17.3195321238543016_dp, 17.1464798323642000_dp, 16.9863340753317011_dp, 16.8391689449775015_dp, &
+         & 16.7049173566925013_dp, 16.5833806246977993_dp, 16.4742389824187008_dp, 16.3770629764131996_dp, &
+         & 16.2913256600414016_dp, 16.2164155050374994_dp, 16.1516499369304007_dp, 16.0962893834336995_dp, &
+         & 16.0495517027144992_dp, 16.0106268306758999_dp, 15.9786914539905993_dp, 15.9529234807929008_dp, &
+         & 15.9325160469325002_dp, 15.9166907664749004_dp, 15.9047099148569000_dp, 15.8958872256239001_dp, &
+         & 15.8895969900069005_dp, 15.8852811745728992_dp, 15.8824543161398992_dp, 15.8807060138398004_dp, &
+         & 15.8797009129038997_dp, 15.8791761594251000_dp, 15.8789363951786004_dp, 15.8788464513243994_dp, &
+         & 15.8788219844145004_dp, 15.8788183731497998_dp, 15.8788181028755009_dp, 15.8788133567214995_dp, &
+         & 15.8787812008343003_dp, 15.8786629924559008_dp, 15.8783478928140998_dp, 15.8776583074663993_dp, &
+         & 15.8763376786506996_dp, 15.8740411241639006_dp, 15.8703293623691994_dp, 15.8646662988500999_dp, &
+         & 15.8564205745689009_dp, 15.8448712849563993_dp, 15.8292179707457006_dp, 15.8085948519496995_dp, &
+         & 15.7820891252547000_dp, 15.7487629741207993_dp, 15.7076787554480006_dp, 15.6579266361910996_dp, &
+         & 15.5986537710790998_dp, 15.5290939548488005_dp, 15.4485965666992993_dp, 15.3566535674390998_dp, &
+         & 15.2529233236249997_dp, 15.1372501240116009_dp, 15.0096784197721007_dp, 14.8704610506144004_dp, &
+         & 14.7200609964239000_dp, 14.5591464966868998_dp, 14.3885796857031991_dp, 14.2093991816899994_dp, &
+         & 14.0227973285110004_dp, 13.8300930108835995_dp, 13.6327011411709993_dp, 13.4321000420803003_dp, &
+         & 13.2297980173322003_dp, 13.0273004035622009_dp, 12.8260783253347999_dp, 12.6275402307884992_dp, &
+         & 12.4330070761120002_dp, 12.2436917699159000_dp, 12.0606832078899000_dp, 11.8849349513532996_dp, &
+         & 11.7172583561782009_dp, 11.5583197610161008_dp, 11.4086412073021997_dp, 11.2686040907305003_dp, &
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+         & 0.2762528995085060_dp, 0.2758952604797710_dp, 0.2756319056750270_dp, 0.2754441493211740_dp, &
+         & 0.2753153297982180_dp, 0.2752309542061940_dp, 0.2751787716432690_dp, 0.2751487719923920_dp, &
+         & 0.2751331095120410_dp, 0.2751259532047640_dp, 0.2751232686283630_dp, 0.2751225383586300_dp, &
+         & 0.2751224305723530_dp, 0.2751224220900500_dp, 0.2751222675867950_dp, 0.2751212208049760_dp, &
+         & 0.2751173727296250_dp, 0.2751071152153910_dp, 0.2750846671087860_dp, 0.2750416771130520_dp, &
+         & 0.2749669196981440_dp, 0.2748460986896790_dp, 0.2746617712180070_dp, 0.2743934023781520_dp, &
+         & 0.2740175581175780_dp, 0.2735082404087020_dp, 0.2728373645726800_dp, 0.2719753736613630_dp, &
+         & 0.2708919791198950_dp, 0.2695570107017320_dp, 0.2679413520655910_dp, 0.2660179320482850_dp, &
+         & 0.2637627357608490_dp, 0.2611557949487770_dp, 0.2581821140340280_dp, 0.2548324874073980_dp, &
+         & 0.2511041652399940_dp, 0.2470013295191790_dp, 0.2425353491788510_dp, 0.2377247928279330_dp, &
+         & 0.2325951892071880_dp, 0.2271785384324970_dp, 0.2215125904660910_dp, 0.2156399201367660_dp, &
+         & 0.2096068394269250_dp, 0.2034621967212330_dp, 0.1972561184967960_dp, 0.1910387509842340_dp, &
+         & 0.1848590574366110_dp, 0.1787637209731370_dp, 0.1727961940527080_dp, 0.1669959243527610_dp, &
+         & 0.1613977742596830_dp, 0.1560316384985190_dp, 0.1509222527367910_dp, 0.1460891762046120_dp, &
+         & 0.1415469240864130_dp, 0.1373052209410300_dp, 0.1333693446560030_dp, 0.1297405311319860_dp, &
+         & 0.1264164125410620_dp, 0.1233914660323880_dp, 0.1206574545793590_dp, 0.1182038467432700_dp, &
+         & 0.1160182070166800_dp, 0.1140865527740120_dp, 0.1123936774686030_dp, 0.1109234424488080_dp, &
+         & 0.1096590415817640_dp, 0.1085832437923240_dp, 0.1076786187273770_dp, 0.1069277501531330_dp, &
+         & 0.1063134405309820_dp, 0.1058189086611210_dp, 0.1054279805126300_dp, 0.1051252715583930_dp, &
+         & 0.1048963572833230_dp, 0.1047279271985250_dp, 0.1046079168029620_dp, 0.1045256115817920_dp, &
+         & 0.1044717173553100_dp, 0.1044383920805390_dp, 0.1044192354934520_dp, 0.1044092346484720_dp, &
+         & 0.1044046653213400_dp, 0.1044029512318900_dp, 0.1044024849601610_dp, 0.1044024161394930_dp, &
+         & 0.1044024106756750_dp, 0.1044023105441310_dp, 0.1044016321394570_dp, 0.1043991382720150_dp, &
+         & 0.1043924906898890_dp, 0.1043779433947240_dp, 0.1043500865565510_dp, 0.1043016525833310_dp, &
+         & 0.1042233953837550_dp, 0.1041040531966640_dp, 0.1039304043657270_dp, 0.1036874238904490_dp, &
+         & 0.1033585462415230_dp, 0.1029260365876040_dp, 0.1023714681046070_dp, 0.1016762974309700_dp, &
+         & 0.1008225237568040_dp, 0.0997934098460718_dp, 0.0985742360492736_dp, 0.0971530517839341_dp, &
+         & 0.0955213838736597_dp, 0.0936748583863789_dp, 0.0916136929451596_dp, 0.0893430204212819_dp, &
+         & 0.0868730126409218_dp, 0.0842187839949418_dp, 0.0814000689173469_dp, 0.0784406829403252_dp, &
+         & 0.0753677929431262_dp, 0.0722110366374551_dp, 0.0690015426663422_dp, 0.0657709096346792_dp, &
+         & 0.0625502041329042_dp, 0.0593690342016941_dp, 0.0562547462311045_dp, 0.0532317811007630_dp, &
+         & 0.0503212109723989_dp, 0.0475404632328917_dp, 0.0449032242554921_dp, 0.0424195041964310_dp, &
+         & 0.0400958358085575_dp, 0.0379355755613346_dp, 0.0359392740592739_dp, 0.0341050843352519_dp, &
+         & 0.0324291803248968_dp, 0.0309061628991003_dp, 0.0295294364822780_dp, 0.0282915448890009_dp, &
+         & 0.0271844601052607_dp, 0.0261998220435800_dp, 0.0253291306776049_dp, 0.0245638944134612_dp, &
+         & 0.0238957401554813_dp, 0.0233164914020847_dp, 0.0228182210001791_dp, 0.0223932850272490_dp, &
+         & 0.0220343437738677_dp, 0.0217343750588270_dp, 0.0214866841996297_dp, 0.0212849139423952_dp, &
+         & 0.0211230565814304_dp, 0.0209954694171728_dp, 0.0208968936662046_dp, 0.0208224759992532_dp, &
+         & 0.0207677910962900_dp, 0.0207288630242743_dp, 0.0207021828950644_dp, 0.0206847201784797_dp, &
+         & 0.0206739252207342_dp, 0.0206677209363022_dp, 0.0206644822466728_dp, 0.0206630025781323_dp, &
+         & 0.0206624475220707_dp, 0.0206622965351357_dp, 0.0206622742498439_dp, 0.0206622724643779_dp, &
+         & 0.0206622395393339_dp, 0.0206620164684495_dp, 0.0206611964514565_dp, 0.0206590107043922_dp, &
+         & 0.0206542278448296_dp, 0.0206450703742433_dp, 0.0206291525818187_dp, 0.0206034443220915_dp, &
+         & 0.0205642652070850_dp, 0.0205073136777401_dp, 0.0204277350115376_dp, 0.0203202314108921_dp, &
+         & 0.0201792157398160_dp, 0.0199990081305828_dp, 0.0197740715623667_dp, 0.0194992787419750_dp, &
+         & 0.0191701984772266_dp, 0.0187833856667226_dp, 0.0183366556085645_dp, 0.0178293211903053_dp, &
+         & 0.0172623712672788_dp, 0.0166385706110361_dp, 0.0159624663868811_dp, 0.0152402930023499_dp, &
+         & 0.0144797757563708_dp, 0.0136898430498889_dp, 0.0128802658015701_dp, 0.0120612499092374_dp, &
+         & 0.0112430120694142_dp, 0.0104353703579392_dp, 0.0096473785585260_dp, 0.0088870277144082_dp, &
+         & 0.0081610306461641_dp, 0.0074746963732082_dp, 0.0068318927240370_dp, 0.0062350880053543_dp, &
+         & 0.0056854572039100_dp, 0.0051830351929851_dp, 0.0047268987495528_dp, 0.0043153604603816_dp, &
+         & 0.0039461602035829_dp, 0.0036166432149969_dp, 0.0033239172594222_dp, 0.0030649847383017_dp, &
+         & 0.0028368484105386_dp, 0.0026365916150866_dp, 0.0024614353900034_dp, 0.0023087757206923_dp, &
+         & 0.0021762044468829_dp, 0.0020615172887233_dp, 0.0019627121736363_dp, 0.0018779806672598_dp, &
+         & 0.0018056948900096_dp, 0.0017443918754765_dp, 0.0016927569139824_dp, 0.0016496070524710_dp, &
+         & 0.0016138755995172_dp, 0.0015845982175477_dp, 0.0015609009660835_dp, 0.0015419904749336_dp, &
+         & 0.0015271462696660_dp, 0.0015157151309495_dp, 0.0015071072485284_dp, 0.0015007938284413_dp, &
+         & 0.0014963057352446_dp, 0.0014932327048456_dp, 0.0014912226506425_dp, 0.0014899806105149_dp, &
+         & 0.0014892669407942_dp, 0.0014888944511000_dp, 0.0014887242826376_dp, 0.0014886604506330_dp, &
+         & 0.0014886430871712_dp, 0.0014886405243857_dp, 0.0014886403171204_dp, 0.0014886364709810_dp, &
+         & 0.0014886104130909_dp, 0.0014885146248105_dp, 0.0014882593139589_dp, 0.0014877007017446_dp, &
+         & 0.0014866313879622_dp, 0.0014847733918941_dp, 0.0014817745327491_dp, 0.0014772088762669_dp, &
+         & 0.0014705820032077_dp, 0.0014613418146467_dp, 0.0014488954368801_dp, 0.0014326324886156_dp, &
+         & 0.0014119545008384_dp, 0.0013863096392157_dp, 0.0013552311055634_dp, 0.0013183767729572_dp, &
+         & 0.0012755668604711_dp, 0.0012268159343733_dp, 0.0011723553939191_dp, 0.0011126429888151_dp, &
+         & 0.0010483568764101_dp, 0.0009803732038307_dp, 0.0009097280124308_dp, 0.0008375661306559_dp, &
+         & 0.0007650813355440_dp, 0.0006934531612757_dp, 0.0006237861785223_dp, 0.0005570573177494_dp, &
+         & 0.0004940758749541_dp, 0.0004354592130653_dp, 0.0003816248979405_dp, 0.0003327973743126_dp, &
+         & 0.0002890251414840_dp, 0.0002502040768491_dp, 0.0002161046519689_dp, 0.0001864031715684_dp, &
+         & 0.0001607160877199_dp, 0.0001386322235817_dp, 0.0001197368108450_dp, 0.0001036266373546_dp, &
+         & 8.9920259384257406e-05_dp, 7.8265630463647499e-05_dp, 6.8344888092042297e-05_dp, 5.9876449469697898e-05_dp, &
+         & 5.2614749208146302e-05_dp, 4.6348139562724100e-05_dp, 4.0897114914173498e-05_dp, 3.6113734438458798e-05_dp, &
+         & 3.1879587069738598e-05_dp, 2.8100925717922099e-05_dp, 2.4703724108121598e-05_dp, 2.1630878407563600e-05_dp, &
+         & 1.8840257027363801e-05_dp, 1.6301886248015800e-05_dp, 1.3994647915183101e-05_dp, 1.1903564441695400e-05_dp, &
+         & 1.0017818738106099e-05_dp, 8.3290956922610298e-06_dp, 6.8301144153792797e-06_dp, 5.5135242860160403e-06_dp, &
+         & 4.3712583845945102e-06_dp, 3.3942402950515299e-06_dp, 2.5722797118987698e-06_dp, 1.8940582009463501e-06_dp, &
+         & 1.3471801025843901e-06_dp, 9.1829126347420200e-07_dp, 5.9326133339254696e-07_dp, 1.4210854715202001e-14_dp, &
+         & 2.8421709430404001e-14_dp, 1.4210854715202001e-14_dp, 0.0000000000000000e+00_dp, 1.4210854715202001e-14_dp, &
+         & 0.0000000000000000_dp &
+         &]
+      case (98)
+         out = [&
+         & 98.0000000000000000_dp, 97.9999998785992972_dp, 97.9999961246480069_dp, 97.9999706910311943_dp, &
+         & 97.9998771936972020_dp, 97.9996279590007049_dp, 97.9990824889245005_dp, 97.9980377487037941_dp, &
+         & 97.9962206245456997_dp, 97.9932828310083011_dp, 97.9887984708881987_dp, 97.9822643686843975_dp, &
+         & 97.9731032160357955_dp, 97.9606694885609954_dp, 97.9442580227227069_dp, 97.9231150824198977_dp, &
+         & 97.8964517000518981_dp, 97.8634590454396971_dp, 97.8233255548208973_dp, 97.7752555346204986_dp, &
+         & 97.7184889319827050_dp, 97.6523219266258025_dp, 97.5761279388646017_dp, 97.4893785639255981_dp, &
+         & 97.3916638376492045_dp, 97.2827111267117033_dp, 97.1624018389146045_dp, 97.0307850918318024_dp, &
+         & 96.8880874865718056_dp, 96.7347182261643042_dp, 96.5712690012106947_dp, 96.3985083293498946_dp, &
+         & 96.2173703545919068_dp, 96.0289384509192985_dp, 95.8344242902184931_dp, 95.6351432893801956_dp, &
+         & 95.4324875175675942_dp, 95.2278972095934932_dp, 95.0228319985760947_dp, 94.8187428678216975_dp, &
+         & 94.6170456542156018_dp, 94.4190967422297973_dp, 94.2261713952781008_dp, 94.0394449995052071_dp, &
+         & 93.8599773558985930_dp, 93.6887000536063965_dp, 93.5264068878906016_dp, 93.3737472435950053_dp, &
+         & 93.2312223409824981_dp, 93.0991842271721026_dp, 92.9778373864696022_dp, 92.8672428319189009_dp, &
+         & 92.7673245256851970_dp, 92.6778779563740045_dp, 92.5985806772819018_dp, 92.5290045818517939_dp, &
+         & 92.4686296627128002_dp, 92.4168589702800034_dp, 92.3730344577454048_dp, 92.3364533732059982_dp, &
+         & 92.3063848384546048_dp, 92.2820862393714947_dp, 92.2628190465511011_dp, 92.2478636882674010_dp, &
+         & 92.2365331122718004_dp, 92.2281846989769036_dp, 92.2222302265060989_dp, 92.2181436374532950_dp, &
+         & 92.2154664169045049_dp, 92.2138104595868953_dp, 92.2128583785920029_dp, 92.2123612862093012_dp, &
+         & 92.2121341559582959_dp, 92.2120489508098018_dp, 92.2120257728727069_dp, 92.2120223518550972_dp, &
+         & 92.2120219030898056_dp, 92.2120114473959944_dp, 92.2119406085193987_dp, 92.2116801971303062_dp, &
+         & 92.2109860345521071_dp, 92.2094668694971062_dp, 92.2065574589594945_dp, 92.2014978828431992_dp, &
+         & 92.1933200295288060_dp, 92.1808420361045933_dp, 92.1626712892870046_dp, 92.1372163865478058_dp, &
+         & 92.1027082167194067_dp, 92.0572300415098965_dp, 91.9987561428448970_dp, 91.9251982491731070_dp, &
+         & 91.8344585765053978_dp, 91.7244879345136042_dp, 91.5933469809672971_dp, 91.4392683946894067_dp, &
+         & 91.2607175207278942_dp, 91.0564489659256964_dp, 90.8255567247756943_dp, 90.5675157088344065_dp, &
+         & 90.2822130166794068_dp, 89.9699678505119067_dp, 89.6315395585718022_dp, 89.2681237491905932_dp, &
+         & 88.8813367094802942_dp, 88.4731884831949031_dp, 88.0460450439225042_dp, 87.6025802469770980_dp, &
+         & 87.1457188365196060_dp, 86.6785727309648024_dp, 86.2043738440221006_dp, 85.7264073426972004_dp, &
+         & 85.2479490610593018_dp, 84.7722096959015943_dp, 84.3022867958343056_dp, 83.8411240720895989_dp, &
+         & 83.3914767347944945_dp, 82.9558815221852939_dp, 82.5366305952831993_dp, 82.1357491239460984_dp, &
+         & 81.7549768836714037_dp, 81.3957543911821944_dp, 81.0592140606136979_dp, 80.7461766642095000_dp, &
+         & 80.4571531375798941_dp, 80.1923515521676933_dp, 79.9516889196208069_dp, 79.7348073973802940_dp, &
+         & 79.5410944184926052_dp, 79.3697062524207979_dp, 79.2195944997911994_dp, 79.0895350194727058_dp, &
+         & 78.9781587734970003_dp, 78.8839840513486052_dp, 78.8054495012623022_dp, 78.7409473563312048_dp, &
+         & 78.6888562032254981_dp, 78.6475726078043067_dp, 78.6155408916730067_dp, 78.5912803530607960_dp, &
+         & 78.5734092493429017_dp, 78.5606649105631050_dp, 78.5519194347733958_dp, 78.5461905260153941_dp, &
+         & 78.5426471711239031_dp, 78.5406100069853039_dp, 78.5395463984934992_dp, 78.5390604212301042_dp, &
+         & 78.5388781134490017_dp, 78.5388285212243034_dp, 78.5388212015126044_dp, 78.5388205553213936_dp, &
+         & 78.5388078935228009_dp, 78.5387221079621014_dp, 78.5384067509882016_dp, 78.5375661237085012_dp, &
+         & 78.5357264245132001_dp, 78.5322031538167948_dp, 78.5260760731043064_dp, 78.5161728577718065_dp, &
+         & 78.5010623993978953_dp, 78.4790585001101988_dp, 78.4482344540750063_dp, 78.4064487230617999_dp, &
+         & 78.3513815803442952_dp, 78.2805822193714960_dp, 78.1915254057590943_dp, 78.0816763054047982_dp, &
+         & 77.9485616680135962_dp, 77.7898451115493970_dp, 77.6034038724330060_dp, 77.3874040948691970_dp, &
+         & 77.1403715659886018_dp, 76.8612547924809064_dp, 76.5494774822568047_dp, 76.2049778539406049_dp, &
+         & 75.8282327468206034_dp, 75.4202652264604012_dp, 74.9826352374123957_dp, 74.5174137804474981_dp, &
+         & 74.0271419996082045_dp, 73.5147773516622038_dp, 72.9836295992609934_dp, 72.4372896517219971_dp, &
+         & 71.8795542601112061_dp, 71.3143493060593983_dp, 70.7456540080767979_dp, 70.1774279257503935_dp, &
+         & 69.6135422688029024_dp, 69.0577167557776050_dp, 68.5134630919871057_dp, 67.9840359801235934_dp, &
+         & 67.4723923683296931_dp, 66.9811593448320934_dp, 66.5126107248573959_dp, 66.0686520060612992_dp, &
+         & 65.6508130649392996_dp, 65.2602477785647039_dp, 64.8977396950628957_dp, 64.5637129193281964_dp, &
+         & 64.2582474860848976_dp, 63.9810986182688026_dp, 63.7317193834485991_dp, 63.5092863471750988_dp, &
+         & 63.3127278738838015_dp, 63.1407547444978974_dp, 62.9918927495837977_dp, 62.8645168830850025_dp, &
+         & 62.7568867096931982_dp, 62.6671824143634026_dp, 62.5935409714409019_dp, 62.5340918002014021_dp, &
+         & 62.4869912108829979_dp, 62.4504548983862975_dp, 62.4227877173419969_dp, 62.4024099787474000_dp, &
+         & 62.3878795496286003_dp, 62.3779091155668013_dp, 62.3713780809588982_dp, 62.3673387301424000_dp, &
+         & 62.3650164477744013_dp, 62.3638039906251009_dp, 62.3632500051793031_dp, 62.3630421855044972_dp, &
+         & 62.3629856534565974_dp, 62.3629773094426980_dp, 62.3629766401495971_dp, 62.3629642882967019_dp, &
+         & 62.3628806026723979_dp, 62.3625729654178969_dp, 62.3617529170848002_dp, 62.3599582595293001_dp, &
+         & 62.3565212685738004_dp, 62.3505442904178011_dp, 62.3408838454323018_dp, 62.3261441882225995_dp, &
+         & 62.3046810689840029_dp, 62.2746162016133979_dp, 62.2338626618545021_dp, 62.1801611087147990_dp, &
+         & 62.1111263431843028_dp, 62.0243032947317019_dp, 61.9172310709749993_dp, 61.7875132411660033_dp, &
+         & 61.6328920804109970_dp, 61.4513241167779967_dp, 61.2410540391631031_dp, 61.0006838801268998_dp, &
+         & 60.7292344171090974_dp, 60.4261959552910000_dp, 60.0915660638334970_dp, 59.7258724099551017_dp, &
+         & 59.3301795280135025_dp, 58.9060791164976010_dp, 58.4556642163080014_dp, 57.9814883403703973_dp, &
+         & 57.4865112652657970_dp, 56.9740337425665970_dp, 56.4476238288357024_dp, 55.9110378510316011_dp, &
+         & 55.3681391895893000_dp, 54.8228180403020033_dp, 54.2789150835186973_dp, 53.7401515475714007_dp, &
+         & 53.2100675429901031_dp, 52.6919698400433987_dp, 52.1888895581136012_dp, 51.7035496205732983_dp, &
+         & 51.2383413668057983_dp, 50.7953094302498016_dp, 50.3761438773777002_dp, 49.9821786202016014_dp, &
+         & 49.6143952153262973_dp, 49.2734312990488021_dp, 48.9595930452880026_dp, 48.6728711505714031_dp, &
+         & 48.4129599400818975_dp, 48.1792792514006010_dp, 47.9709987921740009_dp, 47.7870646886451027_dp, &
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+         &  5.2471446565505197e-07_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, &
+         & -4.2632564145605999e-14_dp &
+         &]
+      case (99)
+         out = [&
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+         & 62.8998688442269014_dp, 62.8897659020200024_dp, 62.8831480682964994_dp, 62.8790550330972025_dp, &
+         & 62.8767018866542031_dp, 62.8754733154192991_dp, 62.8749119672559971_dp, 62.8747013855621972_dp, &
+         & 62.8746441021772995_dp, 62.8746356472676027_dp, 62.8746349690793025_dp, 62.8746224530644966_dp, &
+         & 62.8745376552193989_dp, 62.8742259293221011_dp, 62.8733949821554035_dp, 62.8715764727028983_dp, &
+         & 62.8680938022579028_dp, 62.8620373862936006_dp, 62.8522485465630965_dp, 62.8373129847852994_dp, &
+         & 62.8155645926793014_dp, 62.7851001103516992_dp, 62.7438048591399991_dp, 62.6893894406781982_dp, &
+         & 62.6194369098670975_dp, 62.5314595005332023_dp, 62.4229635218352996_dp, 62.2915205731070998_dp, &
+         & 62.1348427758867032_dp, 61.9508593327105004_dp, 61.7377914347185026_dp, 61.4942223945229003_dp, &
+         & 61.2191599092897007_dp, 60.9120875791035985_dp, 60.5730032150377014_dp, 60.2024420456391027_dp, &
+         & 59.8014836261409997_dp, 59.3717420162833989_dp, 58.9153395638828030_dp, 58.4348653653255994_dp, &
+         & 57.9333201385534977_dp, 57.4140498182866992_dp, 56.8806706494037968_dp, 56.3369888879097971_dp, &
+         & 55.7869183853528980_dp, 55.2343992955611967_dp, 54.6833208803238975_dp, 54.1374509127575010_dp, &
+         & 53.6003735328518971_dp, 53.0754366821181023_dp, 52.5657095315054974_dp, 52.0739497079607006_dp, &
+         & 51.6025796797941965_dp, 51.1536713995861021_dp, 50.7289382089209013_dp, 50.3297330400198035_dp, &
+         & 49.9570520544795968_dp, 49.6115429927997980_dp, 49.2935176373887032_dp, 49.0029678988170971_dp, &
+         & 48.7395851152074968_dp, 48.5027822101854014_dp, 48.2917183905513028_dp, 48.1053260846502013_dp, &
+         & 47.9423398280005983_dp, 47.8013267939292987_dp, 47.6807186428966006_dp, 47.5788443247188013_dp, &
+         & 47.4939634145478990_dp, 47.4242994999630980_dp, 47.3680730687665985_dp, 47.3235332826112014_dp, &
+         & 47.2889879689179011_dp, 47.2628311311578031_dp, 47.2435672730063985_dp, 47.2298318608428005_dp, &
+         & 47.2204073146996990_dp, 47.2142340202374982_dp, 47.2104159906055969_dp, 47.2082209712197027_dp, &
+         & 47.2070749641501024_dp, 47.2065513419693019_dp, 47.2063549128744029_dp, 47.2063014793659974_dp, &
+         & 47.2062935926909972_dp, 47.2062929843947003_dp, 47.2062820613463003_dp, 47.2062080560877035_dp, &
+         & 47.2059360049517025_dp, 47.2052108166848967_dp, 47.2036237608045965_dp, 47.2005843623952970_dp, &
+         & 47.1952988338946966_dp, 47.1867560437315987_dp, 47.1737218696213034_dp, 47.1547426063322987_dp, &
+         & 47.1281578875132965_dp, 47.0921233321534984_dp, 47.0446428334108973_dp, 46.9836100695080034_dp, &
+         & 46.9068584373887987_dp, 46.8122182013633008_dp, 46.6975792306563022_dp, 46.5609572990857004_dp, &
+         & 46.4005615706005017_dp, 46.2148606324997004_dp, 46.0026442984619024_dp, 45.7630784135873014_dp, &
+         & 45.4957500689584009_dp, 45.2007009737635030_dp, 44.8784472227187976_dp, 44.5299843058943026_dp, &
+         & 44.1567768996278005_dp, 43.7607337115509978_dp, 43.3441683918621976_dp, 42.9097482288819023_dp, &
+         & 42.4604329754601011_dp, 41.9994066476674988_dp, 41.5300054321119987_dp, 41.0556448732493990_dp, &
+         & 40.5797492613345980_dp, 40.1056856383803009_dp, 39.6367041797521011_dp, 39.1758860254547017_dp, &
+         & 38.7260990502769005_dp, 38.2899616459192984_dp, 37.8698143432296987_dp, 37.4676989791831971_dp, &
+         & 37.0853450443830965_dp, 36.7241627805073989_dp, 36.3852425118222982_dp, 36.0693595977309016_dp, &
+         & 35.7769843069370026_dp, 35.5082958616058022_dp, 35.2631998960127007_dp, 35.0413486197434025_dp, &
+         & 34.8421630604899022_dp, 34.6648568690039980_dp, 34.5084612800542985_dp, 34.3718509215556978_dp, &
+         & 34.2537702370366972_dp, 34.1528603272854028_dp, 34.0676860235997978_dp, 33.9967629803146991_dp, &
+         & 33.9385845244947006_dp, 33.8916479346344985_dp, 33.8544797481442998_dp, 33.8256596300090990_dp, &
+         & 33.8038422825537026_dp, 33.7877768476012008_dp, 33.7763232542748000_dp, 33.7684650022843016_dp, &
+         & 33.7633179426728987_dp, 33.7601347233500988_dp, 33.7583046999885994_dp, 33.7573492662534989_dp, &
+         & 33.7569127214614966_dp, 33.7567489585637972_dp, 33.7567044110967984_dp, 33.7566978359843972_dp, &
+         & 33.7566973381368030_dp, 33.7566885188155013_dp, 33.7566287666317990_dp, 33.7564091115178968_dp, &
+         & 33.7558235934271025_dp, 33.7545422105235033_dp, 33.7520882439109968_dp, 33.7478208847642023_dp, &
+         & 33.7409239917382990_dp, 33.7304016919573968_dp, 33.7150814026772991_dp, 33.6936246862404971_dp, &
+         & 33.6645461512253021_dp, 33.6262403722105034_dp, 33.5770165170386008_dp, 33.5151400465562972_dp, &
+         & 33.4388804965765019_dp, 33.3465639813222978_dp, 33.2366286948381031_dp, 33.1076813603749969_dp, &
+         & 32.9585523195303978_dp, 32.7883467951153023_dp, 32.5964898330621011_dp, 32.3827625508384997_dp, &
+         & 32.1473276041583986_dp, 31.8907422290439015_dp, 31.6139578071389984_dp, 31.3183056086457015_dp, &
+         & 31.0054691449680995_dp, 30.6774443546729998_dp, 30.3364895842106996_dp, 29.9850679370379005_dp, &
+         & 29.6257849835738014_dp, 29.2613249973467013_dp, 28.8943887840913014_dp, 28.5276358101729990_dp, &
+         & 28.1636327619234983_dp, 27.8048099573007015_dp, 27.4534262825496995_dp, 27.1115426354855984_dp, &
+         & 26.7810033012572006_dp, 26.4634243120779011_dp, 26.1601876593798011_dp, 25.8724402129101989_dp, &
+         & 25.6010963124718991_dp, 25.3468431817053990_dp, 25.1101485204473001_dp, 24.8912698254896014_dp, &
+         & 24.6902651469203995_dp, 24.5070051007424006_dp, 24.3411860306146011_dp, 24.1923442503285990_dp, &
+         & 24.0598713132910014_dp, 23.9430302535798987_dp, 23.8409727300840011_dp, 23.7527569832877994_dp, &
+         & 23.6773664842172984_dp, 23.6137291171801991_dp, 23.5607366930020987_dp, 23.5172645393022997_dp, &
+         & 23.4821908621994986_dp, 23.4544155240459986_dp, 23.4328778395701995_dp, 23.4165729635510012_dp, &
+         & 23.4045664318623992_dp, 23.3960064283611011_dp, 23.3901333850176982_dp, 23.3862865823423007_dp, &
+         & 23.3839074998270995_dp, 23.3825397680847011_dp, 23.3818256901458987_dp, 23.3814994223325989_dp, &
+         & 23.3813770280595001_dp, 23.3813437338540986_dp, 23.3813388196993017_dp, 23.3813384507921000_dp, &
+         & 23.3813319576082002_dp, 23.3812879653404018_dp, 23.3811262452388995_dp, 23.3806951598119994_dp, &
+         & 23.3797517449132997_dp, 23.3779450117302012_dp, 23.3748031476592004_dp, 23.3697252212947006_dp, &
+         & 23.3619779104691006_dp, 23.3506976698573006_dp, 23.3348986312158999_dp, 23.3134863797366982_dp, &
+         & 23.2852775701485015_dp, 23.2490251345442012_dp, 23.2034485928991998_dp, 23.1472687146547003_dp, &
+         & 23.0792455093081017_dp, 22.9982182652764990_dp, 22.9031461334616999_dp, 22.7931475909849013_dp, &
+         & 22.6675370457996017_dp, 22.5258568726388013_dp, 22.3679033133159990_dp, 22.1937449252773007_dp, &
+         & 22.0037326038451013_dp, 21.7985006075930983_dp, 21.5789584494570015_dp, 21.3462739471449012_dp, &
+         & 21.1018481319214999_dp, 20.8472830822813009_dp, 20.5843440731757994_dp, 20.3149177059000010_dp, &
+         & 20.0409678907468987_dp, 19.7644916602124994_dp, 19.4874767514729008_dp, 19.2118626793617011_dp, &
+         & 18.9395066253073985_dp, 18.6721549427103000_dp, 18.4114205168103986_dp, 18.1587657234240005_dp, &
+         & 17.9154903894077009_dp, 17.6827240018116996_dp, 17.4614214217784003_dp, 17.2523614760864987_dp, &
+         & 17.0561479572387000_dp, 16.8732127090649016_dp, 16.7038205802750994_dp, 16.5480760877278001_dp, &
+         & 16.4059316538962996_dp, 16.2771972842243002_dp, 16.1615515433433998_dp, 16.0585536831098992_dp, &
+         & 15.9676567731951007_dp, 15.8882216854775997_dp, 15.8195317834088005_dp, 15.7608081631440005_dp, &
+         & 15.7112252817409992_dp, 15.6699267880064994_dp, 15.6360413443994002_dp, 15.6086981963327993_dp, &
+         & 15.5870422121545005_dp, 15.5702480877253997_dp, 15.5575333887443001_dp, 15.5481700962185005_dp, &
+         & 15.5414943292459000_dp, 15.5369139466302997_dp, 15.5339137752350993_dp, 15.5320582770940998_dp, &
+         & 15.5309915462151995_dp, 15.5304346154886002_dp, 15.5301801489948001_dp, 15.5300846897881009_dp, &
+         & 15.5300587225656006_dp, 15.5300548898578992_dp, 15.5300546030101998_dp, 15.5300495658214999_dp, &
+         & 15.5300154381306008_dp, 15.5298899811783002_dp, 15.5295555593855994_dp, 15.5288236874039001_dp, &
+         & 15.5274220724085996_dp, 15.5249846753489997_dp, 15.5210452559659000_dp, 15.5150347977472993_dp, &
+         & 15.5062831282849007_dp, 15.4940249545255000_dp, 15.4774104178982004_dp, 15.4555201386855998_dp, &
+         & 15.4273845615509995_dp, 15.3920072367897003_dp, 15.3483914801185009_dp, 15.2955696570162001_dp, &
+         & 15.2326341488367003_dp, 15.1587688930222999_dp, 15.0732802658032998_dp, 14.9756260087988000_dp, &
+         & 14.8654409034347008_dp, 14.7425579757597003_dp, 14.6070241685866993_dp, 14.4591096400354004_dp, &
+         & 14.2993101235310007_dp, 14.1283420963571000_dp, 13.9471308331002000_dp, 13.7567917488362994_dp, &
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+         & 12.7170483027638994_dp, 12.5023868741611004_dp, 12.2891954084167008_dp, 12.0789726775297996_dp, &
+         & 11.8731200042032992_dp, 11.6729195214831005_dp, 11.4795175905442992_dp, 11.2939133753428003_dp, &
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+         & 10.5070465537960001_dp, 10.3806428765399996_dp, 10.2648313892334002_dp, 10.1594849691340006_dp, &
+         & 10.0643746107864995_dp, 9.9791806368343998_dp, 9.9035038838902505_dp, 9.8368767853276307_dp, &
+         & 9.7787743261143998_dp, 9.7286248768729706_dp, 9.6858209260864498_dp, 9.6497297228134897_dp, &
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+         & 0.0532000780451796_dp, 0.0532000762397189_dp, 0.0532000433539821_dp, 0.0531998205485280_dp, &
+         & 0.0531990014971342_dp, 0.0531968182452829_dp, 0.0531920404470156_dp, 0.0531828911389596_dp, &
+         & 0.0531669827534955_dp, 0.0531412768489616_dp, 0.0531020707569212_dp, 0.0530450139623042_dp, &
+         & 0.0529651564795728_dp, 0.0528570306960319_dp, 0.0527147670639749_dp, 0.0525322425992272_dp, &
+         & 0.0523032593916497_dp, 0.0520217483139049_dp, 0.0516819909555295_dp, 0.0512788507003563_dp, &
+         & 0.0508080020563568_dp, 0.0502661461045903_dp, 0.0496511995165037_dp, 0.0489624451791286_dp, &
+         & 0.0482006341332806_dp, 0.0473680311961715_dp, 0.0464684000873063_dp, 0.0455069277898303_dp, &
+         & 0.0444900918893296_dp, 0.0434254783705086_dp, 0.0423215604683236_dp, 0.0411874513462465_dp, &
+         & 0.0400326443760264_dp, 0.0388667545315826_dp, 0.0376992730303414_dp, 0.0365393452109117_dp, &
+         & 0.0353955791541267_dp, 0.0342758900415987_dp, 0.0331873828003069_dp, 0.0321362731840935_dp, &
+         & 0.0311278451765986_dp, 0.0301664407378297_dp, 0.0292554767785731_dp, 0.0283974839299646_dp, &
+         & 0.0275941619240569_dp, 0.0268464467968386_dp, 0.0261545854133800_dp, 0.0255182130821083_dp, &
+         & 0.0249364305439741_dp, 0.0244078775328092_dp, 0.0239308012475163_dp, 0.0235031191127888_dp, &
+         & 0.0231224758744588_dp, 0.0227862953708211_dp, 0.0224918274234227_dp, 0.0222361903929169_dp, &
+         & 0.0220164101065734_dp, 0.0218294560212939_dp, 0.0216722755286156_dp, 0.0215418271895231_dp, &
+         & 0.0214351134217452_dp, 0.0213492128228268_dp, 0.0212813119633353_dp, 0.0212287361711105_dp, &
+         & 0.0211889785721695_dp, 0.0211597264647310_dp, 0.0211388839881295_dp, 0.0211245900160293_dp, &
+         & 0.0211152302608468_dp, 0.0211094427225618_dp, 0.0211061158435513_dp, 0.0211043790233560_dp, &
+         & 0.0211035854810859_dp, 0.0211032878000594_dp, 0.0211032068239945_dp, 0.0211031948721114_dp, &
+         & 0.0211031939232100_dp, 0.0211031765332024_dp, 0.0211030587136207_dp, 0.0211026255998377_dp, &
+         & 0.0211014711046147_dp, 0.0210989446576804_dp, 0.0210941067366690_dp, 0.0210856952006537_dp, &
+         & 0.0210721043489599_dp, 0.0210513785125954_dp, 0.0210212218100025_dp, 0.0209790254196633_dp, &
+         & 0.0209219132964762_dp, 0.0208468066496152_dp, 0.0207505066864258_dp, 0.0206297941172409_dp, &
+         & 0.0204815427508720_dp, 0.0203028432573973_dp, 0.0200911319323609_dp, 0.0198443181736110_dp, &
+         & 0.0195609035114188_dp, 0.0192400845826626_dp, 0.0188818326057856_dp, 0.0184869428935315_dp, &
+         & 0.0180570498025929_dp, 0.0175946050835734_dp, 0.0171028203781844_dp, 0.0165855770299146_dp, &
+         & 0.0160473080964891_dp, 0.0154928586695462_dp, 0.0149273318327658_dp, 0.0143559290407183_dp, &
+         & 0.0137837947578134_dp, 0.0132158747280755_dp, 0.0126567947239522_dp, 0.0121107630480708_dp, &
+         & 0.0115814974364241_dp, 0.0110721764814912_dp, 0.0105854162143970_dp, 0.0101232717018149_dp, &
+         & 0.0096872603917291_dp, 0.0092784003190331_dp, 0.0088972553463122_dp, 0.0085439825490710_dp, &
+         & 0.0082183812664454_dp, 0.0079199453771253_dp, 0.0076479184817515_dp, 0.0074013481012258_dp, &
+         & 0.0071791334249411_dp, 0.0069800632025476_dp, 0.0068028443696733_dp, 0.0066461248321161_dp, &
+         & 0.0065085138108998_dp, 0.0063886010828327_dp, 0.0062849744009981_dp, 0.0061962337836832_dp, &
+         & 0.0061210021769398_dp, 0.0060579332377273_dp, 0.0060057177112611_dp, 0.0059630897957135_dp, &
+         & 0.0059288342816757_dp, 0.0059017945801116_dp, 0.0058808812941038_dp, 0.0058650808038578_dp, &
+         & 0.0058534633170808_dp, 0.0058451898831606_dp, 0.0058395179138557_dp, 0.0058358047884468_dp, &
+         & 0.0058335091644608_dp, 0.0058321896850373_dp, 0.0058315008781165_dp, 0.0058311861748734_dp, &
+         & 0.0058310681218075_dp, 0.0058310360087859_dp, 0.0058310312689685_dp, 0.0058310308890697_dp, &
+         & 0.0058310238824504_dp, 0.0058309764117155_dp, 0.0058308019067539_dp, 0.0058303367597858_dp, &
+         & 0.0058293188944845_dp, 0.0058273699337548_dp, 0.0058239818409618_dp, 0.0058185089079075_dp, &
+         & 0.0058101659489296_dp, 0.0057980335079861_dp, 0.0057810707629500_dp, 0.0057581365914814_dp, &
+         & 0.0057280189301991_dp, 0.0056894721272016_dp, 0.0056412615023760_dp, 0.0055822138551065_dp, &
+         & 0.0055112722309190_dp, 0.0054275528354140_dp, 0.0053304014274431_dp, 0.0052194456712016_dp, &
+         & 0.0050946388385569_dp, 0.0049562894063655_dp, 0.0048050714223678_dp, 0.0046420128528979_dp, &
+         & 0.0044684633274699_dp, 0.0042860470015853_dp, 0.0040966079522775_dp, 0.0039021529168224_dp, &
+         & 0.0037047907065215_dp, 0.0035066637996834_dp, 0.0033098698769436_dp, 0.0031163791492475_dp, &
+         & 0.0029279610507871_dp, 0.0027461340739876_dp, 0.0025721440173214_dp, 0.0024069649881113_dp, &
+         & 0.0022513125900048_dp, 0.0021056626213038_dp, 0.0019702749005006_dp, 0.0018452220220837_dp, &
+         & 0.0017304171729506_dp, 0.0016256325642701_dp, 0.0015305075252030_dp, 0.0014445580085436_dp, &
+         & 0.0013672032561800_dp, 0.0012978141617310_dp, 0.0012357704120518_dp, 0.0011805036974408_dp, &
+         & 0.0011315100410485_dp, 0.0010883323969750_dp, 0.0010505313363183_dp, 0.0010176642212798_dp, &
+         & 0.0009892823777022_dp, 0.0009649424779070_dp, 0.0009442218194664_dp, 0.0009267286776122_dp, &
+         & 0.0009121044963791_dp, 0.0009000198625841_dp, 0.0008901684185503_dp, 0.0008822621256286_dp, &
+         & 0.0008760292361671_dp, 0.0008712146200338_dp, 0.0008675813833747_dp, 0.0008649128049001_dp, &
+         & 0.0008630140063275_dp, 0.0008617131205284_dp, 0.0008608619069292_dp, 0.0008603358146644_dp, &
+         & 0.0008600334864752_dp, 0.0008598756797653_dp, 0.0008598035847882_dp, 0.0008597765408069_dp, &
+         & 0.0008597691843164_dp, 0.0008597680985076_dp, 0.0008597680108977_dp, 0.0008597663872791_dp, &
+         & 0.0008597553870828_dp, 0.0008597149495131_dp, 0.0008596071603364_dp, 0.0008593712792759_dp, &
+         & 0.0008589195892057_dp, 0.0008581342591327_dp, 0.0008568654164378_dp, 0.0008549306455308_dp, &
+         & 0.0008521161818322_dp, 0.0008481801675231_dp, 0.0008428584632014_dp, 0.0008358736013179_dp, &
+         & 0.0008269473635352_dp, 0.0008158169365799_dp, 0.0008022534749585_dp, 0.0007860803175959_dp, &
+         & 0.0007671867951728_dp, 0.0007455337943298_dp, 0.0007211501416435_dp, 0.0006941241752116_dp, &
+         & 0.0006645999913104_dp, 0.0006327883056230_dp, 0.0005989935926323_dp, 0.0005636424472897_dp, &
+         & 0.0005272824720919_dp, 0.0004905258157777_dp, 0.0004539488692075_dp, 0.0004180039695854_dp, &
+         & 0.0003830005922509_dp, 0.0003491690045507_dp, 0.0003167645237738_dp, 0.0002861170665653_dp, &
+         & 0.0002575407928020_dp, 0.0002311732712599_dp, 0.0002069261056477_dp, 0.0001845573880104_dp, &
+         & 0.0001638469917253_dp, 0.0001448442185392_dp, 0.0001276272996051_dp, 0.0001119219346464_dp, &
+         & 9.7587114296970894e-05_dp, 8.3650309775862297e-05_dp, 6.8975703527485207e-05_dp, 5.4198811469063899e-05_dp, &
+         & 3.9861449153022497e-05_dp, 2.6350517288165099e-05_dp, 1.4642965297184701e-05_dp, 5.3736130638526396e-06_dp, &
+         & 4.6942603688648896e-06_dp, 3.6469804598482399e-06_dp, 9.3783465615615601e-07_dp, 3.2284685289596399e-06_dp, &
+         & 3.8705379807879598e-06_dp, 3.6376856229480798e-06_dp, 3.0856376156407401e-06_dp, 2.5874335420894601e-06_dp, &
+         & 2.3024078501521200e-06_dp, 2.1939167140772000e-06_dp, 2.1384176420724501e-06_dp, 2.0388047516917098e-06_dp, &
+         & 1.8598498456867699e-06_dp, 1.6119425083616100e-06_dp, 1.3259964788403501e-06_dp, 1.0354238071386101e-06_dp, &
+         &  7.6675911486745505e-07_dp, 5.3663190158204099e-07_dp, 3.5239250451013499e-07_dp, -1.4210854715202001e-14_dp, &
+         & -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, &
+         & -2.8421709430404001e-14_dp &
+         &]
+      case (100)
+         out = [&
+         & 100.0000000000000000_dp, 99.9999998749551935_dp, 99.9999960083206929_dp, 99.9999698112573014_dp, &
+         & 99.9998735073913991_dp, 99.9996167913432004_dp, 99.9990549476608948_dp, 99.9979788467661024_dp, &
+         & 99.9961071759373965_dp, 99.9930811931295978_dp, 99.9884622123665991_dp, 99.9817319452059934_dp, &
+         & 99.9722957377016002_dp, 99.9594886611498055_dp, 99.9425843423529017_dp, 99.9208063589990019_dp, &
+         & 99.8933419801741991_dp, 99.8593580005102979_dp, 99.8180183953247990_dp, 99.7685035063630039_dp, &
+         & 99.7100304439567964_dp, 99.6418743515250043_dp, 99.5633901144279037_dp, 99.4740340045472067_dp, &
+         & 99.3733846398677940_dp, 99.2611625192880069_dp, 99.1372472897492969_dp, 99.0016918432150987_dp, &
+         & 98.8547323518717036_dp, 98.6967934504316986_dp, 98.5284879704001071_dp, 98.3506109115765952_dp, &
+         & 98.1641276734316932_dp, 97.9701569238030032_dp, 97.7699488105315027_dp, 97.5648594831591964_dp, &
+         & 97.3563230582388002_dp, 97.1458222210817013_dp, 96.9348586139661990_dp, 96.7249240353121991_dp, &
+         & 96.5174732943533940_dp, 96.3138993621228963_dp, 96.1155112596093062_dp, 95.9235149480222020_dp, &
+         & 95.7389973456838987_dp, 95.5629134941192007_dp, 95.3960768288881980_dp, 95.2391524710226065_dp, &
+         & 95.0926534335118987_dp, 94.9569396255504046_dp, 94.8322195283159033_dp, 94.7185544052067030_dp, &
+         & 94.6158648941448064_dp, 94.5239398089537985_dp, 94.4424469513171942_dp, 94.3709457056184959_dp, &
+         & 94.3089011575987968_dp, 94.2556994460210973_dp, 94.2106640262039008_dp, 94.1730724972230036_dp, &
+         & 94.1421736225999979_dp, 94.1172041591910045_dp, 94.0974051024354026_dp, 94.0820369596255972_dp, &
+         & 94.0703936775963996_dp, 94.0618148779651051_dp, 94.0556960919832932_dp, 94.0514967377552011_dp, &
+         & 94.0487456439135059_dp, 94.0470439940256995_dp, 94.0460656426590020_dp, 94.0455548342868042_dp, &
+         & 94.0453214369755983_dp, 94.0452338808184010_dp, 94.0452100633481933_dp, 94.0452065479368997_dp, &
+         & 94.0452060867890935_dp, 94.0451953425984044_dp, 94.0451225491137990_dp, 94.0448549523820958_dp, &
+         & 94.0441416363457989_dp, 94.0425805545539930_dp, 94.0395908689777968_dp, 94.0343916955364989_dp, &
+         & 94.0259882202020947_dp, 94.0131659921088954_dp, 93.9944940176680035_dp, 93.9683370674436986_dp, &
+         & 93.9328773602876055_dp, 93.8861455028977048_dp, 93.8260602364395027_dp, 93.7504761787752017_dp, &
+         & 93.6572383614912951_dp, 93.5442419638710021_dp, 93.4094952691849016_dp, 93.2511835494463952_dp, &
+         & 93.0677313672642015_dp, 92.8578607126582938_dp, 92.6206425040160042_dp, 92.3555392871006973_dp, &
+         & 92.0624374376552055_dp, 91.7416677407788939_dp, 91.3940137786770066_dp, 91.0207079997715027_dp, &
+         & 90.6234156062484004_dp, 90.2042065211115016_dp, 89.7655158323457982_dp, 89.3100934798734016_dp, &
+         & 88.8409447093064983_dp, 88.3612639047250070_dp, 87.8743654729246941_dp, 87.3836159475199992_dp, &
+         & 86.8923710135234018_dp, 86.4039197718925038_dp, 85.9214368083133024_dp, 85.4479412174681983_dp, &
+         & 84.9862611281983931_dp, 84.5390024757874983_dp, 84.1085214224347055_dp, 83.6969005111761959_dp, &
+         & 83.3059290745348022_dp, 82.9370885350035962_dp, 82.5915431024662041_dp, 82.2701361175844994_dp, &
+         & 81.9733920182201956_dp, 81.7015236834076006_dp, 81.4544447597671990_dp, 81.2317864936075011_dp, &
+         & 81.0329185595686994_dp, 80.8569733717386043_dp, 80.7028733671112946_dp, 80.5693607511458936_dp, &
+         & 80.4550291839801019_dp, 80.3583568616315063_dp, 80.2777404111707966_dp, 80.2115289769633932_dp, &
+         & 80.1580578328699005_dp, 80.1156808197967933_dp, 80.0828008862551997_dp, 80.0578980080656066_dp, &
+         & 80.0395537872715011_dp, 80.0264720832119991_dp, 80.0174951119384019_dp, 80.0116145628157938_dp, &
+         & 80.0079774199386975_dp, 80.0058863354945942_dp, 80.0047945753011049_dp, 80.0042957351914055_dp, &
+         & 80.0041086020962950_dp, 80.0040576972675979_dp, 80.0040501838182934_dp, 80.0040495205237931_dp, &
+         & 80.0040365235934985_dp, 80.0039484674668984_dp, 80.0036247636563047_dp, 80.0027618868046062_dp, &
+         & 80.0008734951168066_dp, 79.9972569730535952_dp, 79.9909677292513948_dp, 79.9808024201397956_dp, &
+         & 79.9652920813253019_dp, 79.9427059304789935_dp, 79.9110663514404962_dp, 79.8681752735042068_dp, &
+         & 79.8116518180254957_dp, 79.7389806959341030_dp, 79.6475704095957013_dp, 79.5348198531823982_dp, &
+         & 79.3981914378852025_dp, 79.2352884202740029_dp, 79.0439337183949959_dp, 78.8222471985481974_dp, &
+         & 78.5687182435405020_dp, 78.2822704036785950_dp, 77.9623151099814038_dp, 77.6087918087140025_dp, &
+         & 77.2221924558673010_dp, 76.8035690686572963_dp, 76.3545239234141064_dp, 75.8771829435459040_dp, &
+         & 75.3741537419611944_dp, 74.8484705622609994_dp, 74.3035289056572026_dp, 73.7430128771325002_dp, &
+         & 73.1708182356859993_dp, 72.5909738551373067_dp, 72.0075639056923933_dp, 71.4246526717287935_dp, &
+         & 70.8462136109481975_dp, 70.2760640510445000_dp, 69.7178067641208941_dp, 69.1747794755370933_dp, &
+         & 68.6500130876559069_dp, 68.1461990184531032_dp, 67.6656656188556980_dp, 67.2103632244511999_dp, &
+         & 66.7818570945336063_dp, 66.3813273342861976_dp, 66.0095748778989986_dp, 65.6670326918099931_dp, &
+         & 65.3537814870845040_dp, 65.0695693645814970_dp, 64.8138349284485997_dp, 64.5857334808072068_dp, &
+         & 64.3841659521297061_dp, 64.2078102318047996_dp, 64.0551545471397930_dp, 63.9245325016411030_dp, &
+         & 63.8141593295245002_dp, 63.7221688578118020_dp, 63.6466505956325008_dp, 63.5856862990248004_dp, &
+         & 63.5373852961633006_dp, 63.4999178105292970_dp, 63.4715454958991003_dp, 63.4506484039273033_dp, &
+         & 63.4357476475192001_dp, 63.4255231035904004_dp, 63.4188256167740008_dp, 63.4146833176482971_dp, &
+         & 63.4123018487736019_dp, 63.4110584905127013_dp, 63.4104903859975977_dp, 63.4102772697568966_dp, &
+         & 63.4102192969131977_dp, 63.4102107402407995_dp, 63.4102100538898981_dp, 63.4101973872331968_dp, &
+         & 63.4101115687673982_dp, 63.4097960909606968_dp, 63.4089551425846025_dp, 63.4071147457477977_dp, &
+         & 63.4035901584114967_dp, 63.3974608488354008_dp, 63.3875541942244993_dp, 63.3724388766504987_dp, &
+         & 63.3504287402786019_dp, 63.3195976282971031_dp, 63.2778054286414999_dp, 63.2227352192792011_dp, &
+         & 63.1519410151747991_dp, 63.0629051850718980_dp, 62.9531041401113995_dp, 62.8200804204843024_dp, &
+         & 62.6615188522715982_dp, 62.4753240530316987_dp, 62.2596962737771022_dp, 62.0132024171695022_dp, &
+         & 61.7348390991758009_dp, 61.4240848413840013_dp, 61.0809388911371016_dp, 60.7059447425207992_dp, &
+         & 60.3001971303093001_dp, 59.8653320375172981_dp, 59.4035000408504033_dp, 58.9173240713508974_dp, &
+         & 58.4098433566741022_dp, 57.8844459125613966_dp, 57.3447924403926024_dp, 56.7947348337826980_dp, &
+         & 56.2382326606188983_dp, 55.6792709303889026_dp, 55.1217821621995014_dp, 54.5695752539190977_dp, &
+         & 54.0262729758611968_dp, 53.4952591639747013_dp, 52.9796359695157975_dp, 52.4821909228620029_dp, &
+         & 52.0053731433377990_dp, 51.5512777881337030_dp, 51.1216377583826969_dp, 50.7178217231233006_dp, &
+         & 50.3408376298975000_dp, 49.9913409992835014_dp, 49.6696474199374975_dp, 49.3757487566326034_dp, &
+         & 49.1093326542172974_dp, 48.8698049694202012_dp, 48.6563147952387993_dp, 48.4677817626196017_dp, &
+         & 48.3029253119122970_dp, 48.1602956208492969_dp, 48.0383058547842978_dp, 47.9352653678525016_dp, &
+         & 47.8494134318543018_dp, 47.7789530067379005_dp, 47.7220839986154033_dp, 47.6770353861131966_dp, &
+         & 47.6420955422922034_dp, 47.6156400461346010_dp, 47.5961562724158966_dp, 47.5822640775407990_dp, &
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+         & 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, &
+         & 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, &
+         & 2.8421709430404001e-14_dp &
+         &]
+      case (101)
+         out = [&
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+         & 95.2330196850651021_dp, 95.1791433842378041_dp, 95.1335372045542016_dp, 95.0954694509760969_dp, &
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+         & 94.9661012762750971_dp, 94.9660126124713031_dp, 94.9659884936936010_dp, 94.9659849338099065_dp, &
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+         & 80.9104000467130930_dp, 80.8675273882421948_dp, 80.8342630103124975_dp, 80.8090690295783958_dp, &
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+         & 80.7153811228423024_dp, 80.6925312108758988_dp, 80.6605222296489046_dp, 80.6171305428270983_dp, &
+         & 80.5599476442820048_dp, 80.4864291529609943_dp, 80.3939537330731042_dp, 80.2798905156000018_dp, &
+         & 80.1416731223122980_dp, 79.9768779384725974_dp, 79.7833038803481003_dp, 79.5590505971538988_dp, &
+         & 79.3025918725137018_dp, 79.0128409821661961_dp, 78.6892049485047949_dp, 78.3316250227077973_dp, &
+         & 77.9406013196526004_dp, 77.5172003067160063_dp, 77.0630447567073986_dp, 76.5802867417382060_dp, &
+         & 76.0715651695189052_dp, 75.5399501374800053_dp, 74.9888769081993019_dp, 74.4220725383128041_dp, &
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+         & 69.2729322426256999_dp, 68.7636766492342986_dp, 68.2779718308483012_dp, 67.8177855670364949_dp, &
+         & 67.3846964653470053_dp, 66.9798940803187008_dp, 66.6041850772775064_dp, 66.2580046031098959_dp, &
+         & 65.9414321661165985_dp, 65.6542114635770986_dp, 65.3957737041704945_dp, 65.1652640442934938_dp, &
+         & 64.9615707937912958_dp, 64.7833570528331961_dp, 64.6290944231975999_dp, 64.4970983988196025_dp, &
+         & 64.3855649862545931_dp, 64.2926080400741000_dp, 64.2162967263903965_dp, 64.1546924561640992_dp, &
+         & 64.1058845662215049_dp, 64.0680239780981964_dp, 64.0393540408750965_dp, 64.0182377709888044_dp, &
+         & 64.0031807446623020_dp, 63.9928489796577011_dp, 63.9860812620972013_dp, 63.9818955276027026_dp, &
+         & 63.9794890875556987_dp, 63.9782326920495024_dp, 63.9776586306996009_dp, 63.9774432798429018_dp, &
+         & 63.9773846991293027_dp, 63.9773760527366022_dp, 63.9773753591889971_dp, 63.9773625597171005_dp, &
+         & 63.9772758414086979_dp, 63.9769570556887999_dp, 63.9761072896555021_dp, 63.9742475957189995_dp, &
+         & 63.9706860526154983_dp, 63.9644924781759983_dp, 63.9544819585609972_dp, 63.9392081777442982_dp, &
+         & 63.9169673199314019_dp, 63.8858130694844988_dp, 63.8435829406349029_dp, 63.7879358273561010_dp, &
+         & 63.7164002709399000_dp, 63.6264325041084007_dp, 63.5154828592759984_dp, 63.3810686475370986_dp, &
+         & 63.2208511559259989_dp, 63.0327140124962000_dp, 62.8148398743335008_dp, 62.5657822433207969_dp, &
+         & 62.2845292404411026_dp, 61.9705563888340976_dp, 61.6238658661843033_dp, 61.2450102646279007_dp, &
+         & 60.8350995995618007_dp, 60.3957910854503979_dp, 59.9292619943055982_dp, 59.4381666859092022_dp, &
+         & 58.9255796134360992_dp, 58.3949267356221995_dp, 57.8499082769232018_dp, 57.2944161322679975_dp, &
+         & 56.7324493692824987_dp, 56.1680312009029024_dp, 55.6051304720220969_dp, 55.0475901510248988_dp, &
+         & 54.4990646085190988_dp, 53.9629666991039016_dp, 53.4424249424944975_dp, 52.9402505141400965_dp, &
+         & 52.4589133518937984_dp, 52.0005264705673014_dp, 51.5668375205821974_dp, 51.1592266802571984_dp, &
+         & 50.7787100802713027_dp, 50.4259480805623994_dp, 50.1012578279532974_dp, 49.8046296068215000_dp, &
+         & 49.5357465559087018_dp, 49.2940073675034967_dp, 49.0785516161532982_dp, 48.8882873853183995_dp, &
+         & 48.7219208713747989_dp, 48.5779876425349002_dp, 48.4548852128406011_dp, 48.3509065570354011_dp, &
+         & 48.2642741418966992_dp, 48.1931739872606002_dp, 48.1357892017769018_dp, 48.0903323724812992_dp, &
+         & 48.0550761326207976_dp, 48.0283811978382005_dp, 48.0087211547673007_dp, 47.9947033143282979_dp, &
+         & 47.9850850078977018_dp, 47.9787848082586024_dp, 47.9748882957886025_dp, 47.9726481576036008_dp, &
+         & 47.9714785947565971_dp, 47.9709442098154994_dp, 47.9707437432488035_dp, 47.9706892114512016_dp, &
+         & 47.9706811626709992_dp, 47.9706805418717011_dp, 47.9706693943075990_dp, 47.9705938679230997_dp, &
+         & 47.9703162249801025_dp, 47.9695761311052991_dp, 47.9679564551544004_dp, 47.9648545872794969_dp, &
+         & 47.9594604297166001_dp, 47.9507420818718018_dp, 47.9374400865751014_dp, 47.9180709231837980_dp, &
+         & 47.8909402190568017_dp, 47.8541658970144965_dp, 47.8057111775691013_dp, 47.7434270094861972_dp, &
+         & 47.6651031148778017_dp, 47.5685264171834987_dp, 47.4515451919387985_dp, 47.3121368689674995_dp, &
+         & 47.1484770545551015_dp, 46.9590070701171030_dp, 46.7424971551397022_dp, 46.4981024851740017_dp, &
+         & 46.2254093274138995_dp, 45.9244689992152999_dp, 45.5958177960520032_dp, 45.2404816890769013_dp, &
+         & 44.8599653238673994_dp, 44.4562256407468013_dp, 44.0316312380687975_dp, 43.5889093600872002_dp, &
+         & 43.1310830460111987_dp, 42.6614014521435010_dp, 42.1832665832047979_dp, 41.7001595985120019_dp, &
+         & 41.2155695041319987_dp, 40.7329264789755996_dp, 40.2555414341819997_dp, 39.7865528001070032_dp, &
+         & 39.3288810629744034_dp, 38.8851912578777004_dp, 38.4578634320068034_dp, 38.0489709595616006_dp, &
+         & 37.6602664626935990_dp, 37.2931749447992971_dp, 36.9487935791174991_dp, 36.6278974426876971_dp, &
+         & 36.3309503732501966_dp, 36.0581200756704021_dp, 35.8092966210654993_dp, 35.5841135576107988_dp, &
+         & 35.3819709686301991_dp, 35.2020599484721970_dp, 35.0433880982007011_dp, 34.9048057539195966_dp, &
+         & 34.7850327391434035_dp, 34.6826854736375978_dp, 34.5963042745984026_dp, 34.5243806562503011_dp, &
+         & 34.4653843784331997_dp, 34.4177899231135029_dp, 34.3801020007073035_dp, 34.3508796165900989_dp, &
+         & 34.3287581725156983_dp, 34.3124690467816009_dp, 34.3008560976302022_dp, 34.2928885705482003_dp, &
+         & 34.2876699626906003_dp, 34.2844425042109009_dp, 34.2825870513950974_dp, 34.2816183422568983_dp, &
+         & 34.2811757320664015_dp, 34.2810096938676026_dp, 34.2809645274672974_dp, 34.2809578610018022_dp, &
+         & 34.2809573562371028_dp, 34.2809484143822019_dp, 34.2808878320171004_dp, 34.2806651250949983_dp, &
+         & 34.2800714722091016_dp, 34.2787722875456993_dp, 34.2762842324189023_dp, 34.2719576055261967_dp, &
+         & 34.2649649535172998_dp, 34.2542966281231003_dp, 34.2387638786671005_dp, 34.2170099022699006_dp, &
+         & 34.1875290711443967_dp, 34.1486943111632968_dp, 34.0987923158392974_dp, 34.0360659475772991_dp, &
+         & 33.9587628127721004_dp, 33.8651886155845006_dp, 33.7537635208828988_dp, 33.6230794197426022_dp, &
+         & 33.4719557246815995_dp, 33.2994911606489978_dp, 33.1051089925517985_dp, 32.8885932644448005_dp, &
+         & 32.6501139321041975_dp, 32.3902392483123975_dp, 32.1099343914538977_dp, 31.8105460785004013_dp, &
+         & 31.4937737217974991_dp, 31.1616285091629983_dp, 30.8163825325368990_dp, 30.4605106835252002_dp, &
+         & 30.0966284053269000_dp, 29.7274284920129013_dp, 29.3556199433761016_dp, 28.9838714418834016_dp, &
+         & 28.6147613816125990_dp, 28.2507356399004017_dp, 27.8940735443847991_dp, 27.5468618456823009_dp, &
+         & 27.2109760268868008_dp, 26.8880679960719995_dp, 26.5795591098337987_dp, 26.2866375274809982_dp, &
+         & 26.0102590432829004_dp, 25.7511507329279006_dp, 25.5098169347971009_dp, 25.2865472380346006_dp, &
+         & 25.0814262561721009_dp, 24.8943450293375008_dp, 24.7250139297434011_dp, 24.5729769561615008_dp, &
+         & 24.4376273032975995_dp, 24.3182240871504014_dp, 24.2139100992767986_dp, 24.1237304502617995_dp, &
+         & 24.0466519433501986_dp, 23.9815829912899012_dp, 23.9273938525476986_dp, 23.8829369186900990_dp, &
+         & 23.8470667362483013_dp, 23.8186593986604009_dp, 23.7966309026720992_dp, 23.7799540348114000_dp, &
+         & 23.7676733426674005_dp, 23.7589177569401997_dp, 23.7529104661340007_dp, 23.7489757068132015_dp, &
+         & 23.7465422168041016_dp, 23.7451432027735017_dp, 23.7444127916806984_dp, 23.7440790608907015_dp, &
+         & 23.7439538669610997_dp, 23.7439198111778005_dp, 23.7439147846156011_dp, 23.7439144072700010_dp, &
+         & 23.7439077655596016_dp, 23.7438627670013993_dp, 23.7436973476504996_dp, 23.7432564012321983_dp, &
+         & 23.7422914050293983_dp, 23.7404433381351012_dp, 23.7372295852283983_dp, 23.7320354428261986_dp, &
+         & 23.7241107559393996_dp, 23.7125721077159000_dp, 23.6964108582836985_dp, 23.6745071766486994_dp, &
+         & 23.6456500272404000_dp, 23.6085628591307994_dp, 23.5619345035843004_dp, 23.5044545220833996_dp, &
+         & 23.4348519757064011_dp, 23.3519363266306996_dp, 23.2546389567423013_dp, 23.1420536217335986_dp, &
+         & 23.0134740748852984_dp, 22.8684271106349009_dp, 22.7066994027693987_dp, 22.5283567433965004_dp, &
+         & 22.3337546137734009_dp, 22.1235394156211989_dp, 21.8986401373163986_dp, 21.6602506999859017_dp, &
+         & 21.4098037038516011_dp, 21.1489367557481991_dp, 20.8794529793317984_dp, 20.6032776519210010_dp, &
+         & 20.3224131238774000_dp, 20.0388942022541983_dp, 19.7547459837163011_dp, 19.4719457106588010_dp, &
+         & 19.1923896644816985_dp, 18.9178655115942007_dp, 18.6500300009852999_dp, 18.3903915646213001_dp, &
+         & 18.1402972213224984_dp, 17.9009231993423015_dp, 17.6732688047336985_dp, 17.4581531994543013_dp, &
+         & 17.2562148625730991_dp, 17.0679135668287003_dp, 16.8935347134677016_dp, 16.7331958478047014_dp, &
+         & 16.5868551468350987_dp, 16.4543216448510989_dp, 16.3352669521683005_dp, 16.2292382271422007_dp, &
+         & 16.1356721786338007_dp, 16.0539098982053012_dp, 15.9832123414229006_dp, 15.9227762898107006_dp, &
+         & 15.8717506255625995_dp, 15.8292527389863000_dp, 15.7943848651501000_dp, 15.7662501147220002_dp, &
+         & 15.7439679293565007_dp, 15.7266886597814004_dp, 15.7136069406508003_dp, 15.7039735253478003_dp, &
+         & 15.6971052502050004_dp, 15.6923928234519998_dp, 15.6893061801652003_dp, 15.6873972092721008_dp, &
+         & 15.6862997391927994_dp, 15.6857267605078992_dp, 15.6854649617233992_dp, 15.6853667519464004_dp, &
+         & 15.6853400365043996_dp, 15.6853360933610997_dp, 15.6853357982482002_dp, 15.6853306159182004_dp, &
+         & 15.6852955048740998_dp, 15.6851664330287992_dp, 15.6848223753897003_dp, 15.6840694162596002_dp, &
+         & 15.6826274194052999_dp, 15.6801198059552007_dp, 15.6760669197557991_dp, 15.6698833899571994_dp, &
+         & 15.6608798182545996_dp, 15.6482690201571000_dp, 15.6311769324739007_dp, 15.6086581602462999_dp, &
+         & 15.5797159748170007_dp, 15.5433263925297993_dp, 15.4984657661316998_dp, 15.4441411175703003_dp, &
+         & 15.3794222444649993_dp, 15.3034744587739002_dp, 15.2155906820604994_dp, 15.1152215434839992_dp, &
+         & 15.0020021174002007_dp, 14.8757740054591991_dp, 14.7366016152036998_dp, 14.5847817086246003_dp, &
+         & 14.4208455792552002_dp, 14.2455535499539003_dp, 14.0598818474034992_dp, 13.8650022835157003_dp, &
+         & 13.6622555369653007_dp, 13.4531191572226003_dp, 13.2391716849468004_dp, 13.0220544731994998_dp, &
+         & 12.8034328837979992_dp, 12.5849585097518997_dp, 12.3682339367324001_dp, 12.1547813157998004_dp, &
+         & 11.9460157008604000_dp, 11.7432237416778005_dp, 11.5475479548116997_dp, 11.3599764565027002_dp, &
+         & 11.1813377616410001_dp, 11.0123000491068002_dp, 10.8533741718587002_dp, 10.7049196457095999_dp, &
+         & 10.5671528717606993_dp, 10.4401569176864992_dp, 10.3238922850252006_dp, 10.2182082070684999_dp, &
+         & 10.1228541412287996_dp, 10.0374912305011001_dp, 9.9617036036928397_dp, 9.8950094591663298_dp, &
+         & 9.8368719299643494_dp, 9.7867097592036902_dp, 9.7439078247299395_dp, 9.7078275435029600_dp, &
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+         & 0.1878756574750890_dp, 0.1878756526726020_dp, 0.1878755651969900_dp, 0.1878749725366480_dp, &
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+         & 0.1877876093603990_dp, 0.1877191994517910_dp, 0.1876148270321350_dp, 0.1874628575799730_dp, &
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+         & 0.1854789816994040_dp, 0.1847220276943630_dp, 0.1838054717031380_dp, 0.1827136646106740_dp, &
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+         & 0.0788074761390760_dp, 0.0775444267830494_dp, 0.0761287588680375_dp, 0.0745619370037787_dp, &
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+         & 0.0160406962940698_dp, 0.0152881353696017_dp, 0.0145098451704513_dp, 0.0137147757799596_dp, &
+         & 0.0129121660777258_dp, 0.0121111910173397_dp, 0.0113206269877253_dp, 0.0105485567578114_dp, &
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+         & 0.0024048263368144_dp, 0.0023667616747929_dp, 0.0023358832013827_dp, 0.0023111972099059_dp, &
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+         & 0.0022413374264261_dp, 0.0022413340624752_dp, 0.0022413337904084_dp, 0.0022413287419028_dp, &
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+         & 0.0022386965868435_dp, 0.0022362570977776_dp, 0.0022323188361923_dp, 0.0022263209383340_dp, &
+         & 0.0022176108374623_dp, 0.0022054571847008_dp, 0.0021890702637251_dp, 0.0021676302215638_dp, &
+         & 0.0021403229147552_dp, 0.0021063824612924_dp, 0.0020651387301740_dp, 0.0020160670755303_dp, &
+         & 0.0019588367542553_dp, 0.0018933538124060_dp, 0.0018197939542972_dp, 0.0017386211615502_dp, &
+         & 0.0016505886895288_dp, 0.0015567205192326_dp, 0.0014582732557642_dp, 0.0013566805968139_dp, &
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+         & 0.0003189786838078_dp, 0.0002800834977990_dp, 0.0002460378761100_dp, 0.0002163529083532_dp, &
+         & 0.0001905877432193_dp, 0.0001682160119714_dp, 0.0001486669627582_dp, 0.0001320405862373_dp, &
+         & 1.1747775437243000e-04_dp, 1.0457759509563400e-04_dp, 9.3036960080894500e-05_dp, 8.2628220539504596e-05_dp, &
+         & 7.3188564002180101e-05_dp, 6.4599323309266806e-05_dp, 5.6926549689251301e-05_dp, 5.0041374933584800e-05_dp, &
+         & 4.3674667836057799e-05_dp, 3.7820683871814301e-05_dp, 3.2475443987323201e-05_dp, 2.7631674981876100e-05_dp, &
+         & 2.3273432731230100e-05_dp, 1.9378055782226501e-05_dp, 1.5918572017881201e-05_dp, 1.2872552588305600e-05_dp, &
+         & 1.0221486903105900e-05_dp, 7.9469520102293194e-06_dp, 6.0283754947931803e-06_dp, 4.4420708746884000e-06_dp, &
+         & 3.1610650665925298e-06_dp, 2.1554125595457701e-06_dp, 1.3927854780604300e-06_dp, 8.3919842097657196e-07_dp, &
+         & 4.5978792684309198e-07_dp, 2.8421709430404001e-14_dp, 4.2632564145605999e-14_dp, 2.8421709430404001e-14_dp, &
+         & 2.8421709430404001e-14_dp &
+         &]
+      case (102)
+         out = [&
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+         & 101.9998699835470006_dp, 101.9996061158600043_dp, 101.9990286201600043_dp, 101.9979225406020049_dp, &
+         & 101.9959987266829984_dp, 101.9928884401140010_dp, 101.9881407686930004_dp, 101.9812229749319954_dp, &
+         & 101.9715238197839966_dp, 101.9583598186659970_dp, 101.9409843127869948_dp, 101.9185991776219993_dp, &
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+         & 96.9607487524339007_dp, 96.8215615477572982_dp, 96.6936549230453011_dp, 96.5770900889531987_dp, &
+         & 96.4717842881069032_dp, 96.3775198096964942_dp, 96.2939550601896030_dp, 96.2206374588998017_dp, &
+         & 96.1570178943962048_dp, 96.1024664447212018_dp, 96.0562890329509997_dp, 96.0177446616499992_dp, &
+         & 95.9860628470715938_dp, 95.9604608583491938_dp, 95.9401603601102977_dp, 95.9244030604462949_dp, &
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+         & 95.8902689247143059_dp, 95.8885242020325990_dp, 95.8875210865816996_dp, 95.8869973486892064_dp, &
+         & 95.8867580436735949_dp, 95.8866682713163954_dp, 95.8866438509845977_dp, 95.8866402465920942_dp, &
+         & 95.8866397737718046_dp, 95.8866287576269940_dp, 95.8865541216135995_dp, 95.8862797515571970_dp, &
+         & 95.8855483803711053_dp, 95.8839477855640041_dp, 95.8808824287475971_dp, 95.8755516652299065_dp, &
+         & 95.8669355129527929_dp, 95.8537888089710037_dp, 95.8346443948648954_dp, 95.8078257548775980_dp, &
+         & 95.7714692766769957_dp, 95.7235560102054990_dp, 95.6619524639139058_dp, 95.5844596036453993_dp, &
+         & 95.4888688184660026_dp, 95.3730232094629997_dp, 95.2348821714122948_dp, 95.0725869121683047_dp, &
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+         & 92.3793410428359039_dp, 91.9498072703696039_dp, 91.5003518746899971_dp, 91.0337969947284051_dp, &
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+         & 88.5575496616662008_dp, 88.0573440017068947_dp, 87.5632590221114953_dp, 87.0783836604904025_dp, &
+         & 86.6056135222719945_dp, 86.1476182999562070_dp, 85.7068127019141031_dp, 85.2853312387320983_dp, &
+         & 84.8850075684820951_dp, 84.5073591161096971_dp, 84.1535774669008987_dp, 83.8245247278294983_dp, &
+         & 83.5207357593730961_dp, 83.2424259598712979_dp, 82.9895041480070006_dp, 82.7615900238178028_dp, &
+         & 82.5580356713400931_dp, 82.3779505726304961_dp, 82.2202296144262021_dp, 82.0835835726081058_dp, &
+         & 81.9665715497301051_dp, 81.8676348160699945_dp, 81.7851314675985037_dp, 81.7173712701197985_dp, &
+         & 81.6626500142649974_dp, 81.6192826683782044_dp, 81.5856345929038014_dp, 81.5601500773108938_dp, &
+         & 81.5413774842205044_dp, 81.5279903388370002_dp, 81.5188037864478048_dp, 81.5127859556820056_dp, &
+         & 81.5090639070383958_dp, 81.5069240093463065_dp, 81.5058067639877066_dp, 81.5052962794384968_dp, &
+         & 81.5051047781028046_dp, 81.5050526850058930_dp, 81.5050449961706960_dp, 81.5050443173929011_dp, &
+         & 81.5050310170762060_dp, 81.5049409054625045_dp, 81.5046096454734936_dp, 81.5037266266955953_dp, &
+         & 81.5017941552574996_dp, 81.4980932165875060_dp, 81.4916571759425068_dp, 81.4812546157697000_dp, &
+         & 81.4653823166578945_dp, 81.4422691656277067_dp, 81.4098915157935039_dp, 81.3660002186916955_dp, &
+         & 81.3081592002215956_dp, 81.2337950524006942_dp, 81.1402566711731055_dp, 81.0248834980285011_dp, &
+         & 80.8850804413388005_dp, 80.7183970913375930_dp, 80.5226084363245036_dp, 80.2957939764336999_dp, &
+         & 80.0364119545944988_dp, 79.7433654173897963_dp, 79.4160570083308954_dp, 79.0544297969885008_dp, &
+         & 78.6589920567858059_dp, 78.2308246972891936_dp, 77.7715709820455032_dp, 77.2834091406382981_dp, &
+         & 76.7690094109531032_dp, 76.2314778143753955_dp, 75.6742894797971957_dp, 75.1012145439868988_dp, &
+         & 74.5162395827646975_dp, 73.9234872502036069_dp, 73.3271364407607962_dp, 72.7313449549112931_dp, &
+         & 72.1401764049699068_dp, 71.5575329332996972_dp, 70.9870951585677972_dp, 70.4322705301164973_dp, &
+         & 69.8961509064460955_dp, 69.3814797007454018_dp, 68.8906284348289972_dp, 68.4255821139315970_dp, &
+         & 67.9879325538042991_dp, 67.5788786808345066_dp, 67.1992328574225013_dp, 66.8494324029507965_dp, &
+         & 66.5295556284658005_dp, 66.2393418394403000_dp, 65.9782148646053059_dp, 65.7453097345788962_dp, &
+         & 65.5395021652358025_dp, 65.3594405034806982_dp, 65.2035797728378981_dp, 65.0702174172637058_dp, &
+         & 64.9575302874187059_dp, 64.8636123481669955_dp, 64.7865125142994032_dp, 64.7242719497612029_dp, &
+         & 64.6749601015762039_dp, 64.6367086914223989_dp, 64.6077428635114046_dp, 64.5864086941078028_dp, &
+         & 64.5711963108874016_dp, 64.5607579520084016_dp, 64.5539204148581973_dp, 64.5496914994120061_dp, &
+         & 64.5472602345038950_dp, 64.5459908781536029_dp, 64.5454108948801064_dp, 64.5451933225044030_dp, &
+         & 64.5451341374837000_dp, 64.5451254018964988_dp, 64.5451247011943963_dp, 64.5451117696857040_dp, &
+         & 64.5450241568087932_dp, 64.5447020825640010_dp, 64.5438435505584067_dp, 64.5419646726467988_dp, &
+         & 64.5383663904763978_dp, 64.5321089281828932_dp, 64.5219951533566984_dp, 64.5065638407596964_dp, &
+         & 64.4840936201441934_dp, 64.4526181389703936_dp, 64.4099526755557008_dp, 64.3537320927336935_dp, &
+         & 64.2814596250986057_dp, 64.1905655494915948_dp, 64.0784743120472058_dp, 63.9426781988381023_dp, &
+         & 63.7808151730430026_dp, 63.5907480990208001_dp, 63.3706422754876968_dp, 63.1190380469303989_dp, &
+         & 62.8349152865976990_dp, 62.5177467630966035_dp, 62.1675378133985035_dp, 61.7848503248332008_dp, &
+         & 61.3708097369245991_dp, 60.9270945602561014_dp, 60.4559087227302001_dp, 59.9599378487910997_dp, &
+         & 59.4422913177707031_dp, 58.9064326005984000_dp, 58.3561009032139992_dp, 57.7952275059957969_dp, &
+         & 57.2278503340896023_dp, 56.6580301873123986_dp, 56.0897716928828984_dp, 55.5269514542447027_dp, &
+         & 54.9732551316387017_dp, 54.4321244092748984_dp, 53.9067140868765975_dp, 53.3998589636274019_dp, &
+         & 52.9140498030929010_dp, 52.4514174772149033_dp, 52.0137243498585988_dp, 51.6023620219079007_dp, &
+         & 51.2183546670724965_dp, 50.8623672999503000_dp, 50.5347184130091023_dp, 50.2353964906098014_dp, &
+         & 49.9640799595553986_dp, 49.7201601737858994_dp, 49.5027670610025012_dp, 49.3107970826441999_dp, &
+         & 49.1429431737179030_dp, 48.9977263315903997_dp, 48.8735285092992982_dp, 48.7686264373588969_dp, &
+         & 48.6812259493371968_dp, 48.6094963245585987_dp, 48.5516040926557011_dp, 48.5057456777739020_dp, &
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+         & 1.3961026251537301_dp, 1.3960723546205100_dp, 1.3960061107740800_dp, 1.3958792553683099_dp, &
+         & 1.3956586824384800_dp, 1.3953022576613801_dp, 1.3947586290349501_dp, 1.3939674471744601_dp, &
+         & 1.3928600260136399_dp, 1.3913604642335100_dp, 1.3893872336106201_dp, 1.3868552222661501_dp, &
+         & 1.3836781985407600_dp, 1.3797716355520300_dp, 1.3750558087062099_dp, 1.3694590504958599_dp, &
+         & 1.3629210213303500_dp, 1.3553958347739901_dp, 1.3468548633053199_dp, 1.3372890491591001_dp, &
+         & 1.3267105559213399_dp, 1.3151536213280799_dp, 1.3026745100308399_dp, 1.2893505155419800_dp, &
+         & 1.2752780204564500_dp, 1.2605696893623599_dp, 1.2453509343428200_dp, 1.2297558522827099_dp, &
+         & 1.2139228792995200_dp, 1.1979904336231799_dp, 1.1820928186721700_dp, 1.1663566303613100_dp, &
+         & 1.1508978585405700_dp, 1.1358197984092600_dp, 1.1212118043180399_dp, 1.1071488380891601_dp, &
+         & 1.0936916985188001_dp, 1.0808877762198099_dp, 1.0687721614374901_dp, 1.0573689397627000_dp, &
+         & 1.0466925357674599_dp, 1.0367489997120600_dp, 1.0275371700940801_dp, 1.0190496791086900_dp, &
+         & 1.0112737955407300_dp, 1.0041921189024900_dp, 0.9977831501112890_dp, 0.9920217690049640_dp, &
+         & 0.9868796492335580_dp, 0.9823256382048410_dp, 0.9783261251736090_dp, 0.9748454152470600_dp, &
+         & 0.9718461216725700_dp, 0.9692895836388120_dp, 0.9671363121178300_dp, 0.9653464620504620_dp, &
+         & 0.9638803254308780_dp, 0.9626988365726560_dp, 0.9617640780606820_dp, 0.9610397736623500_dp, &
+         & 0.9604917528791500_dp, 0.9600883709656780_dp, 0.9598008682336000_dp, 0.9596036533646241_dp, &
+         & 0.9594744973058200_dp, 0.9593946270670840_dp, 0.9593487122656940_dp, 0.9593247413711770_dp, &
+         & 0.9593137890471870_dp, 0.9593096804807570_dp, 0.9593085628537490_dp, 0.9593083978944460_dp, &
+         & 0.9593083852226130_dp, 0.9593081583441290_dp, 0.9593066212105010_dp, 0.9593009705682650_dp, &
+         & 0.9592859082115270_dp, 0.9592529455299110_dp, 0.9591898215666820_dp, 0.9590800594591400_dp, &
+         & 0.9589026842003960_dp, 0.9586321223066960_dp, 0.9582383009108359_dp, 0.9576869596448030_dp, &
+         & 0.9569401830179340_dp, 0.9559571534772719_dp, 0.9546951157645081_dp, 0.9531105316423240_dp, &
+         & 0.9511603910267890_dp, 0.9488036319690560_dp, 0.9460026091653621_dp, 0.9427245404754530_dp, &
+         & 0.9389428551516940_dp, 0.9346383677631420_dp, 0.9298002091811240_dp, 0.9244264605527520_dp, &
+         & 0.9185244568239740_dp, 0.9121107508146480_dp, 0.9052107539671110_dp, 0.8978580922583030_dp, &
+         & 0.8900937323765989_dp, 0.8819649421836430_dp, 0.8735241502852770_dp, 0.8648277633230490_dp, &
+         & 0.8559349886554490_dp, 0.8469066972188410_dp, 0.8378043491411230_dp, 0.8286889949580570_dp, &
+         & 0.8196203588441620_dp, 0.8106560069439150_dp, 0.8018506028411280_dp, 0.7932552523400600_dp, &
+         & 0.7849169400738421_dp, 0.7768780603448699_dp, 0.7691760437844690_dp, 0.7618430799699351_dp, &
+         & 0.7549059343369610_dp, 0.7483858559122040_dp, 0.7422985708600580_dp, 0.7366543557639460_dp, &
+         & 0.7314581840054331_dp, 0.7267099385053090_dp, 0.7224046843293050_dp, 0.7185329950752930_dp, &
+         & 0.7150813273924830_dp, 0.7120324382966030_dp, 0.7093658400408600_dp, 0.7070582871196930_dp, &
+         & 0.7050842895056210_dp, 0.7034166454724020_dp, 0.7020269863988350_dp, 0.7008863248632760_dp, &
+         & 0.6999655962394510_dp, 0.6992361830142360_dp, 0.6986704102929050_dp, 0.6982420005632120_dp, &
+         & 0.6979264758595750_dp, 0.6977014960774280_dp, 0.6975471233819660_dp, 0.6974460044194190_dp, &
+         & 0.6973834643323190_dp, 0.6973475092985379_dp, 0.6973287373292290_dp, 0.6973201602154120_dp, &
+         & 0.6973169426364760_dp, 0.6973160673762639_dp, 0.6973159381896610_dp, 0.6973159281901220_dp, &
+         & 0.6973157481700700_dp, 0.6973145285075760_dp, 0.6973100448985580_dp, 0.6972980932372510_dp, &
+         & 0.6972719372893720_dp, 0.6972218454072699_dp, 0.6971347348501670_dp, 0.6969939400784140_dp, &
+         & 0.6967791188377530_dp, 0.6964663068722250_dp, 0.6960281285983290_dp, 0.6954341669406010_dp, &
+         & 0.6946514906871361_dp, 0.6936453321538920_dp, 0.6923799017192490_dp, 0.6908193190990199_dp, &
+         & 0.6889286344039500_dp, 0.6866749055193820_dp, 0.6840282927336430_dp, 0.6809631274366690_dp, &
+         & 0.6774589096983310_dp, 0.6735011900904200_dp, 0.6690822945084280_dp, 0.6642018569787350_dp, &
+         & 0.6588671342084350_dp, 0.6530930863692390_dp, 0.6469022204940840_dp, 0.6403242049608340_dp, &
+         & 0.6333952748659040_dp, 0.6261574577573440_dp, 0.6186576564860931_dp, 0.6109466303854130_dp, &
+         & 0.6030779174399750_dp, 0.5951067387043030_dp, 0.5870889224010510_dp, 0.5790798795040500_dp, &
+         & 0.5711336559355120_dp, 0.5633020795290520_dp, 0.5556340132823860_dp, 0.5481747206274010_dp, &
+         & 0.5409653437607740_dp, 0.5340424925872900_dp, 0.5274379394555671_dp, 0.5211784134368570_dp, &
+         & 0.5152854871884220_dp, 0.5097755492377870_dp, 0.5046598546360600_dp, 0.4999446472156990_dp, &
+         & 0.4956313470495530_dp, 0.4917167970737780_dp, 0.4881935631545960_dp, 0.4850502821061870_dp, &
+         & 0.4822720522636250_dp, 0.4798408611482470_dp, 0.4777360445067130_dp, 0.4759347705507370_dp, &
+         & 0.4744125425828120_dp, 0.4731437124007410_dp, 0.4721019959932700_dp, 0.4712609821571900_dp, &
+         & 0.4705946238827890_dp, 0.4700777017846040_dp, 0.4696862486014620_dp, 0.4693979239490600_dp, &
+         & 0.4691923291471200_dp, 0.4690512530944200_dp, 0.4689588418214330_dp, 0.4689016864656570_dp, &
+         & 0.4688688268996090_dp, 0.4688516709802290_dp, 0.4688438322385480_dp, 0.4688408916461380_dp, &
+         & 0.4688400917327730_dp, 0.4688399736672150_dp, 0.4688399644543610_dp, 0.4688397976403420_dp, &
+         & 0.4688386674506550_dp, 0.4688345127513430_dp, 0.4688234378295420_dp, 0.4687992005384560_dp, &
+         & 0.4687527828600650_dp, 0.4686720609811490_dp, 0.4685415898846800_dp, 0.4683425150326880_dp, &
+         & 0.4680526209057520_dp, 0.4676465228972400_dp, 0.4670960052610840_dp, 0.4663705034239170_dp, &
+         & 0.4654377239939440_dp, 0.4642643902937070_dp, 0.4628170953842390_dp, 0.4610632386039410_dp, &
+         & 0.4589720160022350_dp, 0.4565154301634070_dp, 0.4536692812970670_dp, 0.4504140995970400_dp, &
+         & 0.4467359791285190_dp, 0.4426272761191260_dp, 0.4380871395056830_dp, 0.4331218486816510_dp, &
+         & 0.4277449421233110_dp, 0.4219771302849720_dp, 0.4158459960932670_dp, 0.4093854957923920_dp, &
+         & 0.4026352811671500_dp, 0.3956398708402840_dp, 0.3884477031719340_dp, 0.3811101062290730_dp, &
+         & 0.3736802214526450_dp, 0.3662119172064710_dp, 0.3587587265568150_dp, 0.3513728405971930_dp, &
+         & 0.3441041845762950_dp, 0.3369995991813110_dp, 0.3301021437818580_dp, 0.3234505324993510_dp, &
+         & 0.3170787079458960_dp, 0.3110155517210270_dp, 0.3052847256092550_dp, 0.2999046331922560_dp, &
+         & 0.2948884884953030_dp, 0.2902444764312830_dp, 0.2859759891717740_dp, 0.2820819230301770_dp, &
+         & 0.2785570217645840_dp, 0.2753922541200640_dp, 0.2725752156332530_dp, 0.2700905469287140_dp, &
+         & 0.2679203627037480_dp, 0.2660446871344670_dp, 0.2644418924307100_dp, 0.2630891376688850_dp, &
+         & 0.2619628048745990_dp, 0.2610389286912210_dp, 0.2602936149999660_dp, 0.2597034427152070_dp, &
+         & 0.2592458418564260_dp, 0.2588994400727960_dp, 0.2586443692344600_dp, 0.2584625236254110_dp, &
+         & 0.2583377617594920_dp, 0.2582560449098710_dp, 0.2582055070634080_dp, 0.2581764530959560_dp, &
+         & 0.2581612843866450_dp, 0.2581543536963690_dp, 0.2581517537581420_dp, 0.2581510465121820_dp, &
+         & 0.2581509421241750_dp, 0.2581509339092920_dp, 0.2581507842772060_dp, 0.2581497704981930_dp, &
+         & 0.2581460437456400_dp, 0.2581361096402470_dp, 0.2581143693407310_dp, 0.2580727350134990_dp, &
+         & 0.2580003355345890_dp, 0.2578833266975810_dp, 0.2577048183501630_dp, 0.2574449286600070_dp, &
+         & 0.2570809729889160_dp, 0.2565877915027390_dp, 0.2559382155566250_dp, 0.2551036680235370_dp, &
+         & 0.2540548871243970_dp, 0.2527627571188160_dp, 0.2511992227076120_dp, 0.2493382575729870_dp, &
+         & 0.2471568516302510_dp, 0.2446359768377850_dp, 0.2417614883653270_dp, 0.2385249170543630_dp, &
+         & 0.2349241108061760_dp, 0.2309636870084260_dp, 0.2266552653552340_dp, 0.2220174601756500_dp, &
+         & 0.2170756231739830_dp, 0.2118613405847330_dp, 0.2064117022712680_dp, 0.2007683732443440_dp, &
+         & 0.1949765094173020_dp, 0.1890835681816720_dp, 0.1831380697956890_dp, 0.1771883671091250_dp, &
+         & 0.1712814786459230_dp, 0.1654620337686050_dp, 0.1597713691831610_dp, 0.1542468043538460_dp, &
+         & 0.1489211106297430_dp, 0.1438221762346790_dp, 0.1389728578284630_dp, 0.1343909999772710_dp, &
+         & 0.1300895971148320_dp, 0.1260770686518670_dp, 0.1223576166793240_dp, 0.1189316368685670_dp, &
+         & 0.1157961561676760_dp, 0.1129452751467000_dp, 0.1103705977653250_dp, 0.1080616364090330_dp, &
+         & 0.1060061848419450_dp, 0.1041906559504330_dp, 0.1026003846026380_dp, 0.1012198985235810_dp, &
+         & 0.1000331617598530_dp, 0.0990237961185301_dp, 0.0981752859929372_dp, 0.0974711713483600_dp, &
+         & 0.0968952324750489_dp, 0.0964316685778641_dp, 0.0960652705391709_dp, 0.0957815864302631_dp, &
+         & 0.0955670767348664_dp, 0.0954092549345802_dp, 0.0952968082209225_dp, 0.0952196927264595_dp, &
+         & 0.0951691978496854_dp, 0.0951379749720758_dp, 0.0951200270662014_dp, 0.0951106572651241_dp, &
+         & 0.0951063762679212_dp, 0.0951047703411092_dp, 0.0951043334922588_dp, 0.0951042690143566_dp, &
+         & 0.0951042638953083_dp, 0.0951041700822941_dp, 0.0951035344867392_dp, 0.0951011979900613_dp, &
+         & 0.0950949698997618_dp, 0.0950813406481501_dp, 0.0950552419577519_dp, 0.0950098653697324_dp, &
+         & 0.0949365495862935_dp, 0.0948247464964567_dp, 0.0946620748572258_dp, 0.0944344691683341_dp, &
+         & 0.0941264290707693_dp, 0.0937213714138920_dp, 0.0932020828383031_dp, 0.0925512653150236_dp, &
+         & 0.0917521607199774_dp, 0.0907892335662694_dp, 0.0896488840067775_dp, 0.0883201568716032_dp, &
+         & 0.0867954076366289_dp, 0.0850708836600518_dp, 0.0831471795049339_dp, 0.0810295291852015_dp, &
+         & 0.0787279058862111_dp, 0.0762569108412521_dp, 0.0736354468504459_dp, 0.0708861872355584_dp, &
+         & 0.0680348663418187_dp, 0.0651094313940064_dp, 0.0621391060412293_dp, 0.0591534220534697_dp, &
+         & 0.0561812766541010_dp, 0.0532500688163964_dp, 0.0503849591104739_dp, 0.0476082855148121_dp, &
+         & 0.0449391535331358_dp, 0.0423932046355588_dp, 0.0399825540020089_dp, 0.0377158779769502_dp, &
+         & 0.0355986242787338_dp, 0.0336333140740237_dp, 0.0318199043178424_dp, 0.0301561807241058_dp, &
+         & 0.0286381556356048_dp, 0.0272604501208775_dp, 0.0260166451120512_dp, 0.0248995917299197_dp, &
+         & 0.0239016757047352_dp, 0.0230150347519924_dp, 0.0222317308110718_dp, 0.0215438812158482_dp, &
+         & 0.0209437542360291_dp, 0.0204238351290513_dp, 0.0199768690174693_dp, 0.0195958866782604_dp, &
+         & 0.0192742188121855_dp, 0.0190055036348440_dp, 0.0187836917689594_dp, 0.0186030514666982_dp, &
+         & 0.0184581761999709_dp, 0.0183439956679621_dp, 0.0182557903246021_dp, 0.0181892086756505_dp, &
+         & 0.0181402858793831_dp, 0.0181054616495544_dp, 0.0180815951425899_dp, 0.0180659744307263_dp, &
+         & 0.0180563183180453_dp, 0.0180507686311557_dp, 0.0180478716640522_dp, 0.0180465481230812_dp, &
+         & 0.0180460516344851_dp, 0.0180459165792115_dp, 0.0180458966453898_dp, 0.0180458950483171_dp, &
+         & 0.0180458655974292_dp, 0.0180456660643102_dp, 0.0180449325736163_dp, 0.0180429774650861_dp, &
+         & 0.0180386993082351_dp, 0.0180305082344603_dp, 0.0180162704847788_dp, 0.0179932761993200_dp, &
+         & 0.0179582345723475_dp, 0.0179073004401715_dp, 0.0178361360089241_dp, 0.0177400106027363_dp, &
+         & 0.0176139398700315_dp, 0.0174528637345759_dp, 0.0172518595089173_dp, 0.0170063831179732_dp, &
+         & 0.0167125275765301_dp, 0.0163672841355407_dp, 0.0159687883959378_dp, 0.0155165317754751_dp, &
+         & 0.0150115185627300_dp, 0.0144563508084303_dp, 0.0138552276337549_dp, 0.0132138519731768_dp, &
+         & 0.0125392457375142_dp, 0.0118394829692647_dp, 0.0111233586497406_dp, 0.0104000172686654_dp, &
+         & 0.0096785691279138_dp, 0.0089677230521801_dp, 0.0082754616372398_dp, 0.0076087798144187_dp, &
+         & 0.0069735002061009_dp, 0.0063741705921245_dp, 0.0058140409512646_dp, 0.0052951109502430_dp, &
+         & 0.0048182340874803_dp, 0.0043832622266677_dp, 0.0039892138839974_dp, 0.0036344509887556_dp, &
+         & 0.0033168513879645_dp, 0.0030339675442690_dp, 0.0027831651700154_dp, 0.0025617385603454_dp, &
+         & 0.0023670018825612_dp, 0.0021963575395319_dp, 0.0020473439528246_dp, 0.0019176657853279_dp, &
+         & 0.0018052098593842_dp, 0.0017080499474815_dp, 0.0016244433343502_dp, 0.0015528216607663_dp, &
+         & 0.0014917781337260_dp, 0.0014400527731198_dp, 0.0013965169912495_dp, 0.0013601584788319_dp, &
+         & 0.0013300671021881_dp, 0.0013054222917219_dp, 0.0012854822173409_dp, 0.0012695748884113_dp, &
+         & 0.0012570911813015_dp, 0.0012474796792077_dp, 0.0012402431083274_dp, 0.0012349360697215_dp, &
+         & 0.0012311637037783_dp, 0.0012285808858792_dp, 0.0012268915428848_dp, 0.0012258477006242_dp, &
+         & 0.0012252479233155_dp, 0.0012249348807387_dp, 0.0012247918707544_dp, 0.0012247382262842_dp, &
+         & 0.0012247236340102_dp, 0.0012247214802272_dp, 0.0012247213060590_dp, 0.0012247180737433_dp, &
+         & 0.0012246961745177_dp, 0.0012246156735500_dp, 0.0012244011095248_dp, 0.0012239316530156_dp, &
+         & 0.0012230330152931_dp, 0.0012214716141585_dp, 0.0012189515621515_dp, 0.0012151150966275_dp, &
+         & 0.0012095470983411_dp, 0.0012017843100693_dp, 0.0011913297362156_dp, 0.0011776724449248_dp, &
+         & 0.0011603125871460_dp, 0.0011387908937905_dp, 0.0011127212473383_dp, 0.0010818242187440_dp, &
+         & 0.0010459588227150_dp, 0.0010051493072041_dp, 0.0009596036921664_dp, 0.0009097211172957_dp, &
+         & 0.0008560858927069_dp, 0.0007994474281929_dp, 0.0007406867992898_dp, 0.0006807723574269_dp, &
+         & 0.0006207082316791_dp, 0.0005614805314593_dp, 0.0005040063579429_dp, 0.0004490902965983_dp, &
+         & 0.0003973919667999_dp, 0.0003494066660750_dp, 0.0003054594589713_dp, 0.0002657115009015_dp, &
+         & 0.0002301761966095_dp, 0.0001987421979521_dp, 0.0001712002834751_dp, 0.0001472714294835_dp, &
+         & 1.2663338530671800e-04_dp, 1.0894319771637100e-04_dp, 9.3854492334344300e-05_dp, 8.1030426670736206e-05_dp, &
+         & 7.0153632165670401e-05_dp, 6.0933045233468901e-05_dp, 5.3107426865039997e-05_dp, 4.6446627223417602e-05_dp, &
+         & 4.0751227075475099e-05_dp, 3.5850471292064901e-05_dp, 3.1599826243677901e-05_dp, 2.7879642061634500e-05_dp, &
+         & 2.4593780082682301e-05_dp, 2.1666540803266798e-05_dp, 1.9038797432813199e-05_dp, 1.6665093596657199e-05_dp, &
+         & 1.4511659770732900e-05_dp, 1.2554328208125300e-05_dp, 1.0776148826607799e-05_dp, 9.1652022007338002e-06_dp, &
+         & 7.7128765099132596e-06_dp, 6.4125132723802397e-06_dp, 5.2583184668719704e-06_dp, 4.2445517465239399e-06_dp, &
+         & 3.3650061936896198e-06_dp, 2.6127270018605499e-06_dp, 1.9798889212552202e-06_dp, 1.4577730382825400e-06_dp, &
+         & 1.0368149787609601e-06_dp, 7.0670918717041797e-07_dp, 4.5655825431367703e-07_dp, 1.4210854715202001e-14_dp, &
+         & 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, &
+         & 1.4210854715202001e-14_dp &
+         &]
+      case (103)
+         out = [&
+         & 103.0000000000000000_dp, 102.9999998697330028_dp, 102.9999958416109962_dp, 102.9999685504480027_dp, &
+         & 102.9998682245239934_dp, 102.9996007869000039_dp, 102.9990154780650045_dp, 102.9978944338219975_dp, &
+         & 102.9959445912039939_dp, 102.9927922219570036_dp, 102.9879803106859981_dp, 102.9809689069900003_dp, &
+         & 102.9711384924089970_dp, 102.9577963188410052_dp, 102.9401856000740025_dp, 102.9174973764600054_dp, &
+         & 102.8888848264069935_dp, 102.8534797669379941_dp, 102.8104110646259954_dp, 102.7588246602600037_dp, &
+         & 102.6979048851400051_dp, 102.6268967031769961_dp, 102.5451284423329952_dp, 102.4520344789600017_dp, &
+         & 102.3471772152490047_dp, 102.2302675598200068_dp, 102.1011830096630035_dp, 101.9599823686370001_dp, &
+         & 101.8069161525390030_dp, 101.6424318437049976_dp, 101.4671733744049931_dp, 101.2819745245430028_dp, &
+         & 101.0878462841759955_dp, 100.8859586112750009_dp, 100.6776173618490020_dp, 100.4642374403129992_dp, &
+         & 100.2473133835419929_dp, 100.0283886412580046_dp, 99.8090247560756012_dp, 99.5907715014016048_dp, &
+         & 99.3751388362308035_dp, 99.1635713161929999_dp, 98.9574253891774021_dp, 98.7579498222054042_dp, &
+         & 98.5662693647899033_dp, 98.3833716545322972_dp, 98.2100973080529940_dp, 98.0471331055298947_dp, &
+         & 97.8950081599710984_dp, 97.7540929536344976_dp, 97.6246011166176970_dp, 97.5065938119668942_dp, &
+         & 97.3999865754241938_dp, 97.3045584356765971_dp, 97.2199631134339057_dp, 97.1457420662905946_dp, &
+         & 97.0813391128808973_dp, 97.0261163361846997_dp, 96.9793709338601957_dp, 96.9403526550476045_dp, &
+         & 96.9082814400340027_dp, 96.8823648633178038_dp, 96.8618149736705050_dp, 96.8458641282974071_dp, &
+         & 96.8337794333693012_dp, 96.8248754308223027_dp, 96.8185247116183945_dp, 96.8141661881842026_dp, &
+         & 96.8113108223397063_dp, 96.8095446778431068_dp, 96.8085292462324958_dp, 96.8079990779790052_dp, &
+         & 96.8077568348292061_dp, 96.8076659602684941_dp, 96.8076412401098025_dp, 96.8076375914634042_dp, &
+         & 96.8076371128379947_dp, 96.8076259614396974_dp, 96.8075504090641061_dp, 96.8072726703667996_dp, &
+         & 96.8065323196455978_dp, 96.8049120734707031_dp, 96.8018090824144934_dp, 96.7964128741361947_dp, &
+         & 96.7876909497339000_dp, 96.7743828724030948_dp, 96.7550034984807041_dp, 96.7278557806823045_dp, &
+         & 96.6910533161579053_dp, 96.6425525135232988_dp, 96.5801939120618016_dp, 96.5017518068252969_dp, &
+         & 96.4049909266285994_dp, 96.2877284981000940_dp, 96.1478996382193998_dp, 95.9836236898775041_dp, &
+         & 95.7932688961882945_dp, 95.5755127452573987_dp, 95.3293954413032054_dp, 95.0543642766136969_dp, &
+         & 94.7503071572507025_dp, 94.4175740944469055_dp, 94.0569860044093957_dp, 93.6698305617176032_dp, &
+         & 93.2578450899600000_dp, 92.8231866244254036_dp, 92.3683895371756023_dp, 91.8963117012075941_dp, &
+         & 91.4100711887412984_dp, 90.9129767609191930_dp, 90.4084564126964949_dp, 89.8999884022295959_dp, &
+         & 89.3910382410449955_dp, 88.8850033473165979_dp, 88.3851652177830971_dp, 87.8946477929912930_dp, &
+         & 87.4163804776709981_dp, 86.9530648189033002_dp, 86.5071446589598025_dp, 86.0807802401505029_dp, &
+         & 85.6758270433015952_dp, 85.2938201024987990_dp, 84.9359642839065003_dp, 84.6031306886711008_dp, &
+         & 84.2958590423039027_dp, 84.0143657157993005_dp, 83.7585568952229949_dp, 83.5280463601937981_dp, &
+         & 83.3221773220512034_dp, 83.1400477847600001_dp, 82.9805389066332992_dp, 82.8423458465815941_dp, &
+         & 82.7240105690875964_dp, 82.6239560568236016_dp, 82.5405213417786996_dp, 82.4719967204070059_dp, &
+         & 82.4166584725115996_dp, 82.3728023648303065_dp, 82.3387751960051020_dp, 82.3130036365009943_dp, &
+         & 82.2940196405172060_dp, 82.2804817606325969_dp, 82.2711917812856939_dp, 82.2651062032386022_dp, &
+         & 82.2613422544832957_dp, 82.2591782680083980_dp, 82.2580484460243042_dp, 82.2575322150859023_dp, &
+         & 82.2573385580771941_dp, 82.2572858785845966_dp, 82.2572781031986011_dp, 82.2572774167799992_dp, &
+         & 82.2572639667457963_dp, 82.2571728407747997_dp, 82.2568378519055017_dp, 82.2559448933413933_dp, &
+         & 82.2539906691233966_dp, 82.2502480720407050_dp, 82.2437395894538952_dp, 82.2332199502525043_dp, &
+         & 82.2171690319512010_dp, 82.1937958216307010_dp, 82.1610539619042015_dp, 82.1166691068880965_dp, &
+         & 82.0581779585599946_dp, 81.9829784500529968_dp, 81.8883900945410943_dp, 81.7717230392737946_dp, &
+         & 81.6303538754454934_dp, 81.4618057856531976_dp, 81.2638301981403970_dp, 81.0344868011825952_dp, &
+         & 80.7722185922850002_dp, 80.4759186316611022_dp, 80.1449853654692959_dp, 79.7793637961457023_dp, &
+         & 79.3795704013831056_dp, 78.9467005130301942_dp, 78.4824178075886039_dp, 77.9889265474272975_dp, &
+         & 77.4689281404001946_dp, 76.9255643440413053_dp, 76.3623499385156066_dp, 75.7830978882889070_dp, &
+         & 75.1918399309407022_dp, 74.5927452603717001_dp, 73.9900396319965949_dp, 73.3879269170383992_dp, &
+         & 72.7905149219161984_dp, 72.2017471410194958_dp, 71.6253419450938935_dp, 71.0647404361151018_dp, &
+         & 70.5230637852397990_dp, 70.0030803508177968_dp, 69.5071823447197943_dp, 69.0373713845910970_dp, &
+         & 68.5952520074177983_dp, 68.1820321368564066_dp, 67.7985295535762020_dp, 67.4451835518967044_dp, &
+         & 67.1220711191718067_dp, 66.8289271081719960_dp, 66.5651679700930998_dp, 66.3299186748916014_dp, &
+         & 66.1220424717108983_dp, 65.9401731418221004_dp, 65.7827493749792040_dp, 65.6480508609580937_dp, &
+         & 65.5342356342432026_dp, 65.4393781447450067_dp, 65.3615074558179003_dp, 65.2986448989875043_dp, &
+         & 65.2488404503328070_dp, 65.2102070447560038_dp, 65.1809520196532048_dp, 65.1594048859805071_dp, &
+         & 65.1440406677107973_dp, 65.1334981328889029_dp, 65.1265923605772059_dp, 65.1223212443577069_dp, &
+         & 65.1198657181880947_dp, 65.1185836952707007_dp, 65.1179979245376046_dp, 65.1177781810859955_dp, &
+         & 65.1177184054799056_dp, 65.1177095827236059_dp, 65.1177088750293933_dp, 65.1176958144820048_dp, &
+         & 65.1176073273494040_dp, 65.1172820392523022_dp, 65.1164149403296051_dp, 65.1145173140963038_dp, &
+         & 65.1108831272868969_dp, 65.1045632285291020_dp, 65.0943485451633990_dp, 65.0787632832453937_dp, &
+         & 65.0560689206816960_dp, 65.0242795305235006_dp, 64.9811886732907027_dp, 64.9244077482611033_dp, &
+         & 64.8514152925569931_dp, 64.7596162687706993_dp, 64.6464099004555948_dp, 64.5092641232558037_dp, &
+         & 64.3457942502049036_dp, 64.1538430424898962_dp, 63.9315590748379989_dp, 63.6774701285818026_dp, &
+         & 63.3905483676445982_dp, 63.0702642704657990_dp, 62.7166267021787007_dp, 62.3302070937940016_dp, &
+         & 61.9121464094868017_dp, 61.4641443804434999_dp, 60.9884313140113008_dp, 60.4877236050331035_dp, &
+         & 59.9651648430415989_dp, 59.4242550865267987_dp, 58.8687714209128004_dp, 58.3026832802890027_dp, &
+         & 57.7300661443736018_dp, 57.1550170871521033_dp, 56.5815752511606007_dp, 56.0136496952830001_dp, &
+         & 55.4549563001119026_dp, 54.9089646236945015_dp, 54.3788548898587010_dp, 53.8674847411208972_dp, &
+         & 53.3773650343892996_dp, 52.9106437911667982_dp, 52.4690973924952004_dp, 52.0541281757670973_dp, &
+         & 51.6667676928871984_dp, 51.3076849898527030_dp, 50.9771993485899984_dp, 50.6752969904393993_dp, &
+         & 50.4016512832281975_dp, 50.1556460281833978_dp, 49.9364014336843027_dp, 49.7428024100930983_dp, &
+         & 49.5735288399476985_dp, 49.4270874853813993_dp, 49.3018451851460995_dp, 49.1960629647821008_dp, &
+         & 49.1079306361575973_dp, 49.0356014009052004_dp, 48.9772259030242978_dp, 48.9309851078565998_dp, &
+         & 48.8951213274337988_dp, 48.8679666753839967_dp, 48.8479682265326005_dp, 48.8337091833572998_dp, &
+         & 48.8239254170821013_dp, 48.8175168556873018_dp, 48.8135533313945018_dp, 48.8112746700192019_dp, &
+         & 48.8100849951620006_dp, 48.8095414210068981_dp, 48.8093375072697029_dp, 48.8092820377601981_dp, &
+         & 48.8092738505756998_dp, 48.8092732191012999_dp, 48.8092618798472984_dp, 48.8091850547367017_dp, &
+         & 48.8089026375575017_dp, 48.8081498174622013_dp, 48.8065022912024986_dp, 48.8033470893889003_dp, &
+         & 48.7978601922200994_dp, 48.7889919755231034_dp, 48.7754613712557017_dp, 48.7557594429570003_dp, &
+         & 48.7281628592570968_dp, 48.6907574904567966_dp, 48.6414720489846033_dp, 48.5781213426251028_dp, &
+         & 48.4984583140385013_dp, 48.4002336130117001_dp, 48.2812610092147025_dp, 48.1394865311638966_dp, &
+         & 47.9730588460825018_dp, 47.7803981129765987_dp, 47.5602603836838966_dp, 47.3117946238124034_dp, &
+         & 47.0345895964010978_dp, 46.7287082009798027_dp, 46.3947073798925018_dp, 46.0336423690874028_dp, &
+         & 45.6470548472789019_dp, 45.2369453801685992_dp, 44.8057314085066025_dp, 44.3561928201298983_dp, &
+         & 43.8914077950062023_dp, 43.4146820360571013_dp, 42.9294746352255032_dp, 42.4393236592668970_dp, &
+         & 41.9477741223433966_dp, 41.4583104482126004_dp, 40.9742949411967032_dp, 40.4989132858923000_dp, &
+         & 40.0351277269705008_dp, 39.5856383269314023_dp, 39.1528525078128027_dp, 38.7388628964891026_dp, &
+         & 38.3454332810099032_dp, 37.9739922499476990_dp, 37.6256338560941970_dp, 37.3011244571023965_dp, &
+         & 37.0009147688393014_dp, 36.7251561359839016_dp, 36.4737200744779031_dp, 36.2462202535089020_dp, &
+         & 36.0420362350444989_dp, 35.8603384497768971_dp, 35.7001140366512004_dp, 35.5601932922252004_dp, &
+         & 35.4392765562367984_dp, 35.3359613976989024_dp, 35.2487699636223013_dp, 35.1761763160162033_dp, &
+         & 35.1166335207362010_dp, 35.0686001742795028_dp, 35.0305659727700984_dp, 35.0010758521194987_dp, &
+         & 34.9787521699556976_dp, 34.9623143671848027_dp, 34.9505955466285982_dp, 34.9425554419939033_dp, &
+         & 34.9372893232647002_dp, 34.9340324920024017_dp, 34.9321601564923014_dp, 34.9311826341502965_dp, &
+         & 34.9307359973818023_dp, 34.9305684487146024_dp, 34.9305228714340004_dp, 34.9305161443234979_dp, &
+         & 34.9305156349670014_dp, 34.9305066117680028_dp, 34.9304454782863019_dp, 34.9302207454276967_dp, &
+         & 34.9296216923417973_dp, 34.9283106905027978_dp, 34.9258000080167008_dp, 34.9214340442963973_dp, &
+         & 34.9143778466159986_dp, 34.9036126444952970_dp, 34.8879389998422980_dp, 34.8659880029500968_dp, &
+         & 34.8362407391213011_dp, 34.7970560016360011_dp, 34.7467059311827029_dp, 34.6834189222772977_dp, &
+         & 34.6054287629981019_dp, 34.5110285826804031_dp, 34.3986277978260020_dp, 34.2668099006373978_dp, &
+         & 34.1143886626740027_dp, 33.9404601643541994_dp, 33.7444480423100970_dp, 33.5261394962250989_dp, &
+         & 33.2857099281484992_dp, 33.0237345982313997_dp, 32.7411863509832983_dp, 32.4394192555564018_dp, &
+         & 32.1201388533158010_dp, 31.7853605414945015_dp, 31.4373583594692008_dp, 31.0786070018509015_dp, &
+         & 30.7117201922917999_dp, 30.3393885739213012_dp, 29.9643200057977985_dp, 29.5891846418263995_dp, &
+         & 29.2165664891886010_dp, 28.8489224008317002_dp, 28.4885487572696015_dp, 28.1375555247403994_dp, &
+         & 27.7978469929742005_dp, 27.4711083082642986_dp, 27.1587969003905982_dp, 26.8621380039697009_dp, &
+         & 26.5821236359326996_dp, 26.3195145575474001_dp, 26.0748448853006991_dp, 25.8484291042184999_dp, &
+         & 25.6403712817931009_dp, 25.4505762935586013_dp, 25.2787628686969015_dp, 25.1244782591822009_dp, &
+         & 24.9871143361265986_dp, 24.8659249230634991_dp, 24.7600441842335997_dp, 24.6685058907911987_dp, &
+         & 24.5902633838745004_dp, 24.5242100372413994_dp, 24.4691999929299016_dp, 24.4240689031299993_dp, &
+         & 24.3876543643714996_dp, 24.3588156820320982_dp, 24.3364525606375999_dp, 24.3195222850414012_dp, &
+         & 24.3070549452239000_dp, 24.2981662676635004_dp, 24.2920676516933014_dp, 24.2880730704724996_dp, &
+         & 24.2856025813979990_dp, 24.2841822960343983_dp, 24.2834407792314018_dp, 24.2831019741147998_dp, &
+         & 24.2829748766244009_dp, 24.2829403030258995_dp, 24.2829352000352010_dp, 24.2829348169520998_dp, &
+         & 24.2829280742550004_dp, 24.2828823914971004_dp, 24.2827144569539009_dp, 24.2822668059410987_dp, &
+         & 24.2812871368214012_dp, 24.2794109692466016_dp, 24.2761483481238010_dp, 24.2708752193248998_dp, &
+         & 24.2628300127075001_dp, 24.2511158610953999_dp, 24.2347087557947987_dp, 24.2124717850675992_dp, &
+         & 24.1831754178734002_dp, 24.1455235797202015_dp, 24.0981850230757004_dp, 24.0398292289334989_dp, &
+         & 23.9691658017857989_dp, 23.8849860557707991_dp, 23.7862052575546983_dp, 23.6719038158286992_dp, &
+         & 23.5413656111886986_dp, 23.3941116621056011_dp, 23.2299274338398014_dp, 23.0488823197420984_dp, &
+         & 22.8513401519387003_dp, 22.6379600173425999_dp, 22.4096871465299010_dp, 22.1677341838829989_dp, &
+         & 21.9135537071597000_dp, 21.6488034014144013_dp, 21.3753057491224006_dp, 21.0950044072339011_dp, &
+         & 20.8099195380459996_dp, 20.5221042079325997_dp, 20.2336035822508009_dp, 19.9464181029180985_dp, &
+         & 19.6624712567057998_dp, 19.3835820497952014_dp, 19.1114419806185012_dp, 18.8475961677279003_dp, &
+         & 18.5934283024602003_dp, 18.3501491854209995_dp, 18.1187887000668013_dp, 17.9001911289807012_dp, &
+         & 17.6950137136891996_dp, 17.5037283076579016_dp, 17.3266258984265988_dp, 17.1638237039691006_dp, &
+         & 17.0152744988645992_dp, 16.8807778065238985_dp, 16.7599926041235996_dp, 16.6524512201384987_dp, &
+         & 16.5575741502301987_dp, 16.4746855650363990_dp, 16.4030293239653986_dp, 16.3417853359282006_dp, &
+         & 16.2900861176969016_dp, 16.2470333929175013_dp, 16.2117145520748984_dp, 16.1832187602831006_dp, &
+         & 16.1606524614237017_dp, 16.1431539902897008_dp, 16.1299069753917017_dp, 16.1201521995782002_dp, &
+         & 16.1131975880066989_dp, 16.1084260159124000_dp, 16.1053006727721986_dp, 16.1033677835224012_dp, &
+         & 16.1022565682944006_dp, 16.1016764150085017_dp, 16.1014113384562982_dp, 16.1013118991347994_dp, &
+         & 16.1012848492324991_dp, 16.1012808567237009_dp, 16.1012805579162013_dp, 16.1012753107070985_dp, &
+         & 16.1012397600999009_dp, 16.1011090724105017_dp, 16.1007607078046995_dp, 16.0999983244067018_dp, &
+         & 16.0985382844076987_dp, 16.0959993108611989_dp, 16.0918957843225989_dp, 16.0856350990399015_dp, &
+         & 16.0765194163198011_dp, 16.0637520543907009_dp, 16.0464486358377982_dp, 16.0236529726091987_dp, &
+         & 15.9943575036799004_dp, 15.9575279135047996_dp, 15.9121313557813995_dp, 15.8571674960377997_dp, &
+         & 15.7917013811657991_dp, 15.7148969601449995_dp, 15.6260499352653000_dp, 15.5246185341833005_dp, &
+         & 15.4102507747237993_dp, 15.2828068566201996_dp, 15.1423754617461999_dp, 14.9892829746474003_dp, &
+         & 14.8240949396765007_dp, 14.6476094351555002_dp, 14.4608424488968001_dp, 14.2650057587560006_dp, &
+         & 14.0614782285671005_dp, 13.8517717931250992_dp, 13.6374936947778007_dp, 13.4203067205896005_dp, &
+         & 13.2018892522991003_dp, 12.9838968725388995_dp, 12.7679270759890997_dp, 12.5554883345534005_dp, &
+         & 12.3479743951840000_dp, 12.1466442888598998_dp, 11.9526081412666993_dp, 11.7668185359184001_dp, &
+         & 11.5900669142090997_dp, 11.4229843169178000_dp, 11.2660456784940006_dp, 11.1195768697453996_dp, &
+         & 10.9837637307426998_dp, 10.8586624255630007_dp, 10.7442105658517999_dp, 10.6402386752815001_dp, &
+         & 10.5464816892861997_dp, 10.4625902948929994_dp, 10.3881420081856000_dp, 10.3226519586795007_dp, &
+         & 10.2655833994618000_dp, 10.2163579896603007_dp, 10.1743659031073008_dp, 10.1389758062864992_dp, &
+         & 10.1095447228767004_dp, 10.0854277651413007_dp, 10.0659876682942997_dp, 10.0506040174433995_dp, &
+         & 10.0386820125495007_dp, 10.0296605797246006_dp, 10.0230196113217005_dp, 10.0182861059954007_dp, &
+         & 10.0150389854054005_dp, 10.0129123872373000_dp, 10.0115972738816996_dp, 10.0108412501312003_dp, &
+         & 10.0104465479964997_dp, 10.0102662077051008_dp, 10.0101985562197999_dp, 10.0101801534118007_dp, &
+         & 10.0101774371971004_dp, 10.0101772338340993_dp, 10.0101736616596000_dp, 10.0101494596712008_dp, &
+         & 10.0100604908845003_dp, 10.0098233349369004_dp, 10.0093043359714997_dp, 10.0083104331135999_dp, &
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+         & 1.4210854715202001e-14_dp &
+         &]
+      case (104)
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+         & 65.6410652558393934_dp, 65.6346724864990989_dp, 65.6243400270905965_dp, 65.6085750724915044_dp, &
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+         & 64.8671647857704983_dp, 64.6730063880753931_dp, 64.4481684179227017_dp, 64.1911627887399021_dp, &
+         & 63.9009512158800987_dp, 63.5769997995199034_dp, 63.2193195649800970_dp, 62.8284908890204008_dp, &
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+         & 60.4366725423079032_dp, 59.8896898072320027_dp, 59.3279874644792997_dp, 58.7555787297947987_dp, &
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+         & 53.7756128782069993_dp, 53.3037213370755012_dp, 52.8572850116544970_dp, 52.4377226418628979_dp, &
+         & 52.0460779085253975_dp, 51.6830276798786983_dp, 51.3488948415188986_dp, 51.0436651957342988_dp, &
+         & 50.7670079503181029_dp, 50.5182993484038008_dp, 50.2966490232652035_dp, 50.1009286936737013_dp, &
+         & 49.9298028408410985_dp, 49.7817610205587968_dp, 49.6551514584692981_dp, 49.5482155499098980_dp, &
+         & 49.4591228394055022_dp, 49.3860059930536011_dp, 49.3269952069218007_dp, 49.2802514252717998_dp, &
+         & 49.2439976839080984_dp, 49.2165478559981011_dp, 49.1963320688770978_dp, 49.1819180870735977_dp, &
+         & 49.1720280226487034_dp, 49.1655498392292003_dp, 49.1615432577039968_dp, 49.1592398431246025_dp, &
+         & 49.1580372449888969_dp, 49.1574877661093979_dp, 49.1572816373109021_dp, 49.1572255652514016_dp, &
+         & 49.1572172891318999_dp, 49.1572166507978991_dp, 49.1572051883687990_dp, 49.1571275287289993_dp, &
+         & 49.1568420437377966_dp, 49.1560810460270972_dp, 49.1544156234848018_dp, 49.1512261490247013_dp, &
+         & 49.1456796541786005_dp, 49.1367151191614013_dp, 49.1230375738795004_dp, 49.1031217188799971_dp, &
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+         & 0.9987231027619859_dp, 0.9826722858922490_dp, 0.9659705819979370_dp, 0.9487490469179110_dp, &
+         & 0.9311460287940890_dp, 0.9133034747131320_dp, 0.8953633477131430_dp, 0.8774643080368350_dp, &
+         & 0.8597387804424270_dp, 0.8423104923935510_dp, 0.8252925299549220_dp, 0.8087859226307050_dp, &
+         & 0.7928787377734070_dp, 0.7776456411834540_dp, 0.7631478637938760_dp, 0.7494335047636010_dp, &
+         & 0.7365380981583340_dp, 0.7244853725594850_dp, 0.7132881391146531_dp, 0.7029492524106470_dp, &
+         & 0.6934625989010070_dp, 0.6848140784239970_dp, 0.6769825547807500_dp, 0.6699407608104621_dp, &
+         & 0.6636561514900590_dp, 0.6580917050672070_dp, 0.6532066770019180_dp, 0.6489573145371570_dp, &
+         & 0.6452975411192770_dp, 0.6421796197736280_dp, 0.6395548030933900_dp, 0.6373739749484030_dp, &
+         & 0.6355882856339580_dp, 0.6341497782711940_dp, 0.6330120001796050_dp, 0.6321305890356680_dp, &
+         & 0.6314638202661480_dp, 0.6309730996377140_dp, 0.6306233836686630_dp, 0.6303835104908730_dp, &
+         & 0.6302264252080790_dp, 0.6301292865759650_dp, 0.6300734458010600_dp, 0.6300442931293300_dp, &
+         & 0.6300309733171470_dp, 0.6300259766417470_dp, 0.6300246174292280_dp, 0.6300244168124750_dp, &
+         & 0.6300244014015420_dp, 0.6300241254811850_dp, 0.6300222560827540_dp, 0.6300153840125380_dp, &
+         & 0.6299970658740081_dp, 0.6299569784847560_dp, 0.6298802117369890_dp, 0.6297467306102930_dp, &
+         & 0.6295310349687920_dp, 0.6292020432337180_dp, 0.6287232226390530_dp, 0.6280529840753960_dp, &
+         & 0.6271453529932810_dp, 0.6259509190322060_dp, 0.6244180557091140_dp, 0.6224943876879220_dp, &
+         & 0.6201284673133221_dp, 0.6172716051489290_dp, 0.6138797826033060_dp, 0.6099155601290110_dp, &
+         & 0.6053498839222160_dp, 0.6001636894575310_dp, 0.5943492031182420_dp, 0.5879108544930320_dp, &
+         & 0.5808657315259040_dp, 0.5732435374724500_dp, 0.5650860403472679_dp, 0.5564460392533450_dp, &
+         & 0.5473859042662640_dp, 0.5379757740731610_dp, 0.5282915155673040_dp, 0.5184125602676630_dp, &
+         & 0.5084197331402290_dp, 0.4983931807409620_dp, 0.4884104892125550_dp, 0.4785450609062420_dp, &
+         & 0.4688647939595110_dp, 0.4594310846704840_dp, 0.4502981502270840_dp, 0.4415126509269670_dp, &
+         & 0.4331135774186660_dp, 0.4251323599820300_dp, 0.4175931531443810_dp, 0.4105132492972670_dp, &
+         & 0.4039035785003340_dp, 0.3977692573321010_dp, 0.3921101565223210_dp, 0.3869214643580390_dp, &
+         & 0.3821942298599480_dp, 0.3779158760260510_dp, 0.3740706787682480_dp, 0.3706402113952690_dp, &
+         & 0.3676037576032910_dp, 0.3649386979668350_dp, 0.3626208759675790_dp, 0.3606249497676970_dp, &
+         & 0.3589247353464910_dp, 0.3574935454090140_dp, 0.3563045267727600_dp, 0.3553309968910130_dp, &
+         & 0.3545467779314750_dp, 0.3539265245666600_dp, 0.3534460395175070_dp, 0.3530825691088070_dp, &
+         & 0.3528150697984530_dp, 0.3526244359799900_dp, 0.3524936794144370_dp, 0.3524080514655310_dp, &
+         & 0.3523551008637900_dp, 0.3523246619129740_dp, 0.3523087707298630_dp, 0.3523015100751790_dp, &
+         & 0.3522987863785120_dp, 0.3522980454693680_dp, 0.3522979361128340_dp, 0.3522979276481660_dp, &
+         & 0.3522977752610930_dp, 0.3522967428177140_dp, 0.3522929474674330_dp, 0.3522828306170570_dp, &
+         & 0.3522606909497480_dp, 0.3522182939503720_dp, 0.3521445749499180_dp, 0.3520254515826050_dp, &
+         & 0.3518437601727410_dp, 0.3515793287155300_dp, 0.3512091965083500_dp, 0.3507079868300020_dp, &
+         & 0.3500484340962800_dp, 0.3492020604891340_dp, 0.3481399891939530_dp, 0.3468338723519790_dp, &
+         & 0.3452569021940380_dp, 0.3433848643980470_dp, 0.3411971845654880_dp, 0.3386779130178610_dp, &
+         & 0.3358165910047570_dp, 0.3326089437767050_dp, 0.3290573532547680_dp, 0.3251710750727880_dp, &
+         & 0.3209661807613460_dp, 0.3164652243452220_dp, 0.3116966517469280_dp, 0.3066939890510410_dp, &
+         & 0.3014948599453790_dp, 0.2961398920225240_dp, 0.2906715752795040_dp, 0.2851331340530410_dp, &
+         & 0.2795674664831010_dp, 0.2740161946869360_dp, 0.2685188557558580_dp, 0.2631122501181980_dp, &
+         & 0.2578299511937560_dp, 0.2527019696901790_dp, 0.2477545579955770_dp, 0.2430101350995670_dp, &
+         & 0.2384873101500630_dp, 0.2342009826790840_dp, 0.2301624991222160_dp, 0.2263798479013700_dp, &
+         & 0.2228578785079520_dp, 0.2195985332950410_dp, 0.2166010837889440_dp, 0.2138623660867440_dp, &
+         & 0.2113770122244600_dp, 0.2091376762448080_dp, 0.2071352550636620_dp, 0.2053591051612070_dp, &
+         & 0.2037972566524640_dp, 0.2024366264661810_dp, 0.2012632322257840_dp, 0.2002624080137710_dp, &
+         & 0.1994190225529740_dp, 0.1987176994943380_dp, 0.1981430385196460_dp, 0.1976798349166840_dp, &
+         & 0.1973132942402600_dp, 0.1970292377281600_dp, 0.1968142933783240_dp, 0.1966560671009320_dp, &
+         & 0.1965432881993790_dp, 0.1964659236568590_dp, 0.1964152563228510_dp, 0.1963839230880500_dp, &
+         & 0.1963659104572740_dp, 0.1963565064924210_dp, 0.1963522098006510_dp, 0.1963505979725400_dp, &
+         & 0.1963501595170950_dp, 0.1963500948020000_dp, 0.1963500897521870_dp, 0.1963499983167340_dp, &
+         & 0.1963493788286710_dp, 0.1963471015337890_dp, 0.1963410311694530_dp, 0.1963277466687710_dp, &
+         & 0.1963023065759440_dp, 0.1962580701558210_dp, 0.1961865833838770_dp, 0.1960775380403560_dp, &
+         & 0.1959188109029810_dp, 0.1956965884038060_dp, 0.1953955799404950_dp, 0.1949993201911010_dp, &
+         & 0.1944905572067770_dp, 0.1938517187713840_dp, 0.1930654446742320_dp, 0.1921151674288380_dp, &
+         & 0.1909857190252350_dp, 0.1896639370697390_dp, 0.1881392407447750_dp, 0.1864041459792670_dp, &
+         & 0.1844546904785030_dp, 0.1822907430204450_dp, 0.1799161775497710_dp, 0.1773389006442590_dp, &
+         & 0.1745707301343340_dp, 0.1716271320850500_dp, 0.1685268320164540_dp, 0.1652913232788360_dp, &
+         & 0.1619443002953740_dp, 0.1585110466429710_dp, 0.1550178076983140_dp, 0.1514911751496730_dp, &
+         & 0.1479575066107230_dp, 0.1444423985389140_dp, 0.1409702253448020_dp, 0.1375637525522960_dp, &
+         & 0.1342438274660650_dp, 0.1310291471183400_dp, 0.1279361002323750_dp, 0.1249786775013040_dp, &
+         & 0.1221684426783870_dp, 0.1195145558901630_dp, 0.1170238402360440_dp, 0.1147008829800740_dp, &
+         & 0.1125481632422800_dp, 0.1105661988636090_dp, 0.1087537059927540_dp, 0.1071077659454720_dp, &
+         & 0.1056239950405880_dp, 0.1042967143597480_dp, 0.1031191175675730_dp, 0.1020834359331100_dp, &
+         & 0.1011811004339620_dp, 0.1004029012702010_dp, 0.0997391452805374_dp, 0.0991798116679803_dp, &
+         & 0.0987147061307354_dp, 0.0983336129957308_dp, 0.0980264443197143_dp, 0.0977833842305671_dp, &
+         & 0.0975950260966556_dp, 0.0974524995278045_dp, 0.0973475837919295_dp, 0.0972728040429871_dp, &
+         & 0.0972215068186983_dp, 0.0971879116327443_dp, 0.0971671360916844_dp, 0.0971551928253547_dp, &
+         & 0.0971489575401989_dp, 0.0971461086270438_dp, 0.0971450399077156_dp, 0.0971447491908179_dp, &
+         & 0.0971447062818385_dp, 0.0971447029048562_dp, 0.0971446413978470_dp, 0.0971442246796101_dp, &
+         & 0.0971426927852264_dp, 0.0971386093663114_dp, 0.0971296731527360_dp, 0.0971125601863463_dp, &
+         & 0.0970828035742954_dp, 0.0970347169793797_dp, 0.0969613674510157_dp, 0.0968546023896550_dp, &
+         & 0.0967051343766343_dp, 0.0965026861679803_dp, 0.0962361962936455_dp, 0.0958940833417756_dp, &
+         & 0.0954645642004266_dp, 0.0949360183182506_dp, 0.0942973866366685_dp, 0.0935385904979285_dp, &
+         & 0.0926509528429307_dp, 0.0916276017837276_dp, 0.0904638355075917_dp, 0.0891574277427765_dp, &
+         & 0.0877088548927532_dp, 0.0861214294288999_dp, 0.0844013290049759_dp, 0.0825575166649202_dp, &
+         & 0.0806015538707214_dp, 0.0785473143981363_dp, 0.0764106129331736_dp, 0.0742087671739142_dp, &
+         & 0.0719601160057124_dp, 0.0696835184977829_dp, 0.0673978585155197_dp, 0.0651215775632465_dp, &
+         & 0.0628722543314666_dp, 0.0606662446216717_dp, 0.0585183907900273_dp, 0.0564418062316463_dp, &
+         & 0.0544477368636649_dp, 0.0525454974648341_dp, 0.0507424756974331_dp, 0.0490441924136888_dp, &
+         & 0.0474544046730614_dp, 0.0459752387316712_dp, 0.0446073427758904_dp, 0.0433500514928937_dp, &
+         & 0.0422015553579342_dp, 0.0411590675995654_dp, 0.0402189825778976_dp, 0.0393770206640482_dp, &
+         & 0.0386283578574904_dp, 0.0379677401043494_dp, 0.0373895842853642_dp, 0.0368880678493753_dp, &
+         & 0.0364572093725712_dp, 0.0360909417676822_dp, 0.0357831800338175_dp, 0.0355278853201639_dp, &
+         & 0.0353191265934214_dp, 0.0351383290374088_dp, 0.0350057489141733_dp, 0.0349031128407518_dp, &
+         & 0.0348255120926098_dp, 0.0347684231965104_dp, 0.0347277501652030_dp, 0.0346998578867783_dp, &
+         & 0.0346815946421373_dp, 0.0346703019875889_dp, 0.0346638106770456_dp, 0.0346604218729283_dp, &
+         & 0.0346588735562818_dp, 0.0346582927382997_dp, 0.0346581347425712_dp, 0.0346581114227718_dp, &
+         & 0.0346581095713532_dp, 0.0346580756418291_dp, 0.0346578457647979_dp, 0.0346570007201734_dp, &
+         & 0.0346547482005661_dp, 0.0346498189162219_dp, 0.0346403798956203_dp, 0.0346239689537526_dp, &
+         & 0.0345974541582450_dp, 0.0345570219296718_dp, 0.0344981971020673_dp, 0.0344158977523392_dp, &
+         & 0.0343045267933491_dp, 0.0341581011324052_dp, 0.0339704175757873_dp, 0.0337352526098442_dp, &
+         & 0.0334465907760233_dp, 0.0330988737267290_dp, 0.0326872594151979_dp, 0.0322078785228683_dp, &
+         & 0.0316580734801875_dp, 0.0310366046173129_dp, 0.0303438083706880_dp, 0.0295816942531815_dp, &
+         & 0.0287539704972772_dp, 0.0278659927269445_dp, 0.0269246353248889_dp, 0.0259380907929341_dp, &
+         & 0.0249156077655641_dp, 0.0238671828955290_dp, 0.0228032251647505_dp, 0.0217342129618316_dp, &
+         & 0.0206703642548689_dp, 0.0196213382588155_dp, 0.0185959833367377_dp, 0.0176021410685507_dp, &
+         & 0.0166465113260870_dp, 0.0157345785540457_dp, 0.0148705955883202_dp, 0.0140576181823917_dp, &
+         & 0.0132975808997742_dp, 0.0125914034170478_dp, 0.0119391159867490_dp, 0.0113399939153851_dp, &
+         & 0.0107926928932471_dp, 0.0102953790284630_dp, 0.0098458489615041_dp, 0.0094416365749197_dp, &
+         & 0.0090801040201569_dp, 0.0087585162853685_dp, 0.0084741000728457_dp, 0.0082240888595919_dp, &
+         & 0.0080057564260585_dp, 0.0078164410048203_dp, 0.0076535619065652_dp, 0.0075146303021967_dp, &
+         & 0.0073972558162154_dp, 0.0072991505735303_dp, 0.0072181321972664_dp, 0.0071521269451011_dp, &
+         & 0.0070991737543551_dp, 0.0070574295358341_dp, 0.0070251756753805_dp, 0.0070008253986060_dp, &
+         & 0.0069829314223142_dp, 0.0069701931556665_dp, 0.0069614626219021_dp, 0.0069557482536169_dp, &
+         & 0.0069522157745894_dp, 0.0069501855145262_dp, 0.0069491256995917_dp, 0.0069486414987807_dp, &
+         & 0.0069484598644181_dp, 0.0069484104560331_dp, 0.0069484031634488_dp, 0.0069484025791695_dp, &
+         & 0.0069483918042295_dp, 0.0069483188027704_dp, 0.0069480504465957_dp, 0.0069473351455400_dp, &
+         & 0.0069457699193549_dp, 0.0069427730624057_dp, 0.0069375638129401_dp, 0.0069291504795785_dp, &
+         & 0.0069163285021716_dp, 0.0068976898963911_dp, 0.0068716453905750_dp, 0.0068364602580004_dp, &
+         & 0.0067903043245963_dp, 0.0067313158645277_dp, 0.0066576780892405_dp, 0.0065677057400677_dp, &
+         & 0.0064599379993524_dp, 0.0063332326705421_dp, 0.0061868554864049_dp, 0.0060205576532866_dp, &
+         & 0.0058346345095259_dp, 0.0056299586828317_dp, 0.0054079825684852_dp, 0.0051707073986904_dp, &
+         & 0.0049206194118199_dp, 0.0046605970702274_dp, 0.0043937960898859_dp, 0.0041235206119694_dp, &
+         & 0.0038530891803816_dp, 0.0035857039734424_dp, 0.0033243316774758_dp, 0.0030716043556822_dp, &
+         & 0.0028297475105887_dp, 0.0026005391700750_dp, 0.0023852987379485_dp, 0.0021848999536616_dp, &
+         & 0.0019998011364919_dp, 0.0018307859571394_dp, 0.0016761867910020_dp, 0.0015356286793065_dp, &
+         & 0.0014097091426066_dp, 0.0012969541430863_dp, 0.0011969912755490_dp, 0.0011079567800891_dp, &
+         & 0.0010292579312932_dp, 0.0009599008344736_dp, 0.0008989689729191_dp, 0.0008456431503703_dp, &
+         & 0.0007992125748899_dp, 0.0007590110240443_dp, 0.0007243276579487_dp, 0.0006945457787850_dp, &
+         & 0.0006691653523916_dp, 0.0006476625285785_dp, 0.0006295291425857_dp, 0.0006143371880398_dp, &
+         & 0.0006017218194785_dp, 0.0005913609600299_dp, 0.0005829617883535_dp, 0.0005762535262477_dp, &
+         & 0.0005709855754077_dp, 0.0005669280626535_dp, 0.0005638723569064_dp, 0.0005616310427143_dp, &
+         & 0.0005600377031101_dp, 0.0005589467327809_dp, 0.0005582331416036_dp, 0.0005577922088662_dp, &
+         & 0.0005575388535561_dp, 0.0005574066191798_dp, 0.0005573462092912_dp, 0.0005573235489464_dp, &
+         & 0.0005573173849029_dp, 0.0005573164751098_dp, 0.0005573164014692_dp, 0.0005573150346265_dp, &
+         & 0.0005573057740946_dp, 0.0005572717324753_dp, 0.0005571809982001_dp, 0.0005569824699450_dp, &
+         & 0.0005566024236145_dp, 0.0005559420172716_dp, 0.0005548759600629_dp, 0.0005532525900236_dp, &
+         & 0.0005508956168967_dp, 0.0005476077772357_dp, 0.0005431766069961_dp, 0.0005373824361357_dp, &
+         & 0.0005300085289264_dp, 0.0005208530522509_dp, 0.0005097423714631_dp, 0.0004965451007166_dp, &
+         & 0.0004811861800675_dp, 0.0004636599766883_dp, 0.0004440418625506_dp, 0.0004224994256674_dp, &
+         & 0.0003992949645095_dp, 0.0003747308214770_dp, 0.0003491264553759_dp, 0.0003229007288752_dp, &
+         & 0.0002964715866227_dp, 0.0002702080327595_dp, 0.0002444768857259_dp, 0.0002196291467698_dp, &
+         & 0.0001959929019222_dp, 0.0001738780292015_dp, 0.0001534940415979_dp, 0.0001349773021815_dp, &
+         & 1.1831287078223300e-04_dp, 1.0336106282693401e-04_dp, 8.9943783962098705e-05_dp, 7.7887886575922494e-05_dp, &
+         & 6.7206213714143801e-05_dp, 5.8140777923654200e-05_dp, 5.0220594104644099e-05_dp, 4.3230610586419998e-05_dp, &
+         & 3.7020719759084400e-05_dp, 3.1331349418906002e-05_dp, 2.5810105668711000e-05_dp, 2.0322769699987499e-05_dp, &
+         & 1.4985646345167000e-05_dp, 1.0042930213671800e-05_dp, 5.7805366822094601e-06_dp, 2.3862312019673499e-06_dp, &
+         & 1.3351395864447100e-06_dp, 1.1477239496571201e-06_dp, 4.8356019988204903e-07_dp, 1.1666996329040600e-06_dp, &
+         & 1.3539448531218999e-06_dp, 1.2681647518775199e-06_dp, 1.0881419569841500e-06_dp, 9.1941920743465701e-07_dp, &
+         & 8.0805139646145097e-07_dp, 7.6168591078840098e-07_dp, 7.4487398649125701e-07_dp, 7.1463000494986804e-07_dp, &
+         & 6.5498068124725303e-07_dp, 5.6940307047170801e-07_dp, 4.6928377628319098e-07_dp, 3.6687761451048599e-07_dp, &
+         & -2.8421709430404001e-14_dp, -1.4210854715202001e-14_dp, -2.8421709430404001e-14_dp, -1.4210854715202001e-14_dp, &
+         & -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, &
+         & -4.2632564145605999e-14_dp &
+         &]
+      case (105)
+         out = [&
+         & 105.0000000000000000_dp, 104.9999998661029963_dp, 104.9999957257270040_dp, 104.9999676740270047_dp, &
+         & 104.9998645522630056_dp, 104.9995896617890025_dp, 104.9989880417119963_dp, 104.9978357561890050_dp, &
+         & 104.9958315744029989_dp, 104.9925913509320026_dp, 104.9876453294370009_dp, 104.9804385023669937_dp, &
+         & 104.9703340685170048_dp, 104.9566199439580032_dp, 104.9385182052210013_dp, 104.9151972808640068_dp, &
+         & 104.8857866607500000_dp, 104.8493938609120022_dp, 104.8051233610899970_dp, 104.7520972138549951_dp, &
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+         & 0.0139909750940035_dp, 0.0139007096806125_dp, 0.0138294903618430_dp, 0.0137744251375835_dp, &
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+         & 0.0136414240273410_dp, 0.0136387879655047_dp, 0.0136337405930931_dp, 0.0136249663002843_dp, &
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+         & 0.0134544800105800_dp, 0.0133765285448959_dp, 0.0132767939477816_dp, 0.0131521160684116_dp, &
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+         & 0.0007150274448549_dp, 0.0006499379742877_dp, 0.0005878663365735_dp, 0.0005293682427379_dp, &
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+         & 1.2577076309128199e-04_dp, 1.1487373603813500e-04_dp, 1.0549928268233099e-04_dp, 9.7450254926911798e-05_dp, &
+         & 9.0573389172732304e-05_dp, 8.4727476618695605e-05_dp, 7.9765199586745398e-05_dp, 7.5557508665724499e-05_dp, &
+         & 7.2010297543556603e-05_dp, 6.9046626606450405e-05_dp, 6.6586366486376405e-05_dp, 6.4548977249501095e-05_dp, &
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+         & 5.8774085303525701e-05_dp, 5.8236401045519401e-05_dp, 5.7832525030221398e-05_dp, 5.7536967716487197e-05_dp, &
+         & 5.7327242714677602e-05_dp, 5.7183838180208099e-05_dp, 5.7090127981496200e-05_dp, 5.7032259789480102e-05_dp, &
+         & 5.6999021921910800e-05_dp, 5.6981677644785102e-05_dp, 5.6973754965383698e-05_dp, 5.6970783234078199e-05_dp, &
+         & 5.6969974863818600e-05_dp, 5.6969855563693300e-05_dp, 5.6969845886101198e-05_dp, 5.6969665862993700e-05_dp, &
+         & 5.6968446202176899e-05_dp, 5.6963962776990202e-05_dp, 5.6952013125055601e-05_dp, 5.6925869429846898e-05_dp, &
+         & 5.6875831049296701e-05_dp, 5.6788908025851001e-05_dp, 5.6648671900916297e-05_dp, 5.6435318896319600e-05_dp, &
+         & 5.6126000984591001e-05_dp, 5.5695492278573497e-05_dp, 5.5117260345127802e-05_dp, 5.4364947970952899e-05_dp, &
+         & 5.3414052942457602e-05_dp, 5.2243199121448897e-05_dp, 5.0834235665320200e-05_dp, 4.9171438575967800e-05_dp, &
+         & 4.7242476753695000e-05_dp, 4.5044774026337102e-05_dp, 4.2596556355079001e-05_dp, 3.9943211348259003e-05_dp, &
+         & 3.7146443389701697e-05_dp, 3.4261623639508798e-05_dp, 3.1332903645875403e-05_dp, 2.8409249026140101e-05_dp, &
+         & 2.5541345848978401e-05_dp, 2.2758203058970102e-05_dp, 2.0074265719927101e-05_dp, 1.7524687322634199e-05_dp, &
+         & 1.5173439948057401e-05_dp, 1.3091499909023699e-05_dp, 1.1349869609489399e-05_dp, 1.0009667292365500e-05_dp, &
+         & 9.0528745317897102e-06_dp, 8.2884194938515099e-06_dp, 7.4064787298766498e-06_dp, 6.1920087119915496e-06_dp, &
+         & 4.6402648905541397e-06_dp, 2.9364991860347800e-06_dp, 1.3665666926954101e-06_dp, 7.3603939654276505e-07_dp, &
+         & 1.1516163169744699e-06_dp, 1.1476773948970699e-06_dp, 6.3779064873870105e-07_dp, 1.0595729378337599e-06_dp, &
+         & 1.9271370632623100e-06_dp, 2.4375558496103601e-06_dp, 2.5226176916248699e-06_dp, 2.2122443112948501e-06_dp, &
+         & 1.6335750814278099e-06_dp, 1.0015569102961300e-06_dp, 4.8780265160530700e-07_dp, 6.2904393871576800e-07_dp, &
+         & 6.6148488997441703e-07_dp, 5.7828376043289598e-07_dp, 4.9577738536754602e-07_dp, 4.2161290991771202e-07_dp, &
+         & 3.6195750396927901e-07_dp, 3.4696354589414098e-07_dp, 3.6405972991815398e-07_dp, 3.6656626889453000e-07_dp, &
+         & 2.8421709430404001e-14_dp, 2.8421709430404001e-14_dp, 1.4210854715202001e-14_dp, 2.8421709430404001e-14_dp, &
+         & 2.8421709430404001e-14_dp, 2.8421709430404001e-14_dp, 2.8421709430404001e-14_dp, 1.4210854715202001e-14_dp, &
+         & 2.8421709430404001e-14_dp, 2.8421709430404001e-14_dp, 2.8421709430404001e-14_dp, 2.8421709430404001e-14_dp, &
+         & 2.8421709430404001e-14_dp &
+         &]
+      case (106)
+         out = [&
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+         & 99.5621423212759993_dp, 99.5620480091674978_dp, 99.5620223539100948_dp, 99.5620185672450049_dp, &
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+         & 86.5918354916218931_dp, 86.3002681052685006_dp, 86.0353209805516030_dp, 85.7965897595066025_dp, &
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+         & 84.6457567776557056_dp, 84.6003506519284940_dp, 84.5651211904098972_dp, 84.5384392328698056_dp, &
+         & 84.5187847224665063_dp, 84.5047687409506949_dp, 84.4951507051436010_dp, 84.4888502393604028_dp, &
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+         & 84.4808083247032044_dp, 84.4807537851911974_dp, 84.4807457352701050_dp, 84.4807450246153024_dp, &
+         & 84.4807310996844052_dp, 84.4806367562190985_dp, 84.4802899395131988_dp, 84.4793654523749069_dp, &
+         & 84.4773422291304001_dp, 84.4734674925224027_dp, 84.4667292240261958_dp, 84.4558382053598962_dp, &
+         & 84.4392206885455039_dp, 84.4150225191804964_dp, 84.3811252660464959_dp, 84.3351745929695937_dp, &
+         & 84.2746207408513044_dp, 84.1967705679847995_dp, 84.0988501304201037_dp, 83.9780762845649065_dp, &
+         & 83.8317352837889018_dp, 83.6572658507683968_dp, 83.4523437762265985_dp, 83.2149647656185039_dp, &
+         & 82.9435220717094950_dp, 82.6368754521753033_dp, 82.2944082071592931_dp, 81.9160694968236953_dp, &
+         & 81.5023998067584046_dp, 81.0545382858950063_dp, 80.5742116623968059_dp, 80.0637054532726040_dp, &
+         & 79.5258191095921063_dp, 78.9638074700473993_dp, 78.3813113517211946_dp, 77.7822802673158975_dp, &
+         & 77.1708901718888001_dp, 76.5514589139558979_dp, 75.9283618150194002_dp, 75.3059496098897938_dp, &
+         & 74.6884708535290969_dp, 74.0800007685287056_dp, 73.4843782682284967_dp, 72.9051524747837050_dp, &
+         & 72.3455394727124030_dp, 71.8083893943708063_dp, 71.2961633595847957_dp, 70.8109193959448930_dp, &
+         & 70.3543062886542998_dp, 69.9275643181715054_dp, 69.5315319683961945_dp, 69.1666578527628957_dp, &
+         & 68.8330172570939993_dp, 68.5303328114529933_dp, 68.2579988751219986_dp, 68.0151092564418036_dp, &
+         & 67.8004879016248054_dp, 67.6127221801329057_dp, 67.4501983718357963_dp, 67.3111389239087998_dp, &
+         & 67.1936409941243937_dp, 67.0957157339772010_dp, 67.0153276941296951_dp, 66.9504336623190994_dp, &
+         & 66.8990201781015941_dp, 66.8591389185225040_dp, 66.8289391227636997_dp, 66.8066962297371987_dp, &
+         & 66.7908359461472969_dp, 66.7799530466625981_dp, 66.7728243322374055_dp, 66.7684153336610962_dp, &
+         & 66.7658805383207010_dp, 66.7645571296050946_dp, 66.7639524493256005_dp, 66.7637256122446985_dp, &
+         & 66.7636639069990991_dp, 66.7636547994319045_dp, 66.7636540688923930_dp, 66.7636405867325067_dp, &
+         & 66.7635492431137010_dp, 66.7632134542812992_dp, 66.7623183643307954_dp, 66.7603594808098961_dp, &
+         & 66.7566079804697949_dp, 66.7500840772055994_dp, 66.7395396809787940_dp, 66.7234513867276036_dp, &
+         & 66.7000246106706953_dp, 66.6672094306600940_dp, 66.6227283796644940_dp, 66.5641160812741930_dp, &
+         & 66.4887702018531996_dp, 66.3940127309711983_dp, 66.2771601040817018_dp, 66.1356001729669032_dp, &
+         & 65.9668735435429028_dp, 65.7687563778863051_dp, 65.5393414417892046_dp, 65.2771140124851001_dp, &
+         & 64.9810192764001044_dp, 64.6505180621487057_dp, 64.2856281691575049_dp, 63.8869491477131035_dp, &
+         & 63.4556691264863986_dp, 62.9935531233888000_dp, 62.5029131661101971_dp, 61.9865614408998979_dp, &
+         & 61.4477485322142982_dp, 60.8900895572969034_dp, 60.3174815773720994_dp, 59.7340160174302994_dp, &
+         & 59.1438898969852005_dp, 58.5513194416321028_dp, 57.9604591321400022_dp, 57.3753285264044024_dp, &
+         & 56.7997483700706027_dp, 56.2372867165352019_dp, 55.6912151108731024_dp, 55.1644744175355015_dp, &
+         & 54.6596495996320968_dp, 54.1789526553955980_dp, 53.7242129271376001_dp, 53.2968740592162007_dp, &
+         & 52.8979969486519011_dp, 52.5282680820389984_dp, 52.1880126826919977_dp, 51.8772121120564975_dp, &
+         & 51.5955249912791984_dp, 51.3423115400104990_dp, 51.1166606702680966_dp, 50.9174194175137984_dp, &
+         & 50.7432243297063010_dp, 50.5925344587481973_dp, 50.4636656008151974_dp, 50.3548254098024017_dp, &
+         & 50.2641489630179024_dp, 50.1897342954516006_dp, 50.1296773464799017_dp, 50.0821056905447008_dp, &
+         & 50.0452103617391018_dp, 50.0172750415510023_dp, 49.9967018681578992_dp, 49.9820331512617031_dp, &
+         & 49.9719683422222971_dp, 49.9653757154961013_dp, 49.9612983609303996_dp, 49.9589542608269994_dp, &
+         & 49.9577304217458007_dp, 49.9571712378319006_dp, 49.9569614683608023_dp, 49.9569044059521019_dp, &
+         & 49.9568959836592015_dp, 49.9568953340508983_dp, 49.9568836691716029_dp, 49.9568046379031969_dp, &
+         & 49.9565141106788033_dp, 49.9557396723676987_dp, 49.9540448361207012_dp, 49.9507990336591021_dp, &
+         & 49.9451545925909031_dp, 49.9360317736637001_dp, 49.9221127805440972_dp, 49.9018454665663995_dp, &
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+         & 0.9984907156198940_dp, 0.9817732779402630_dp, 0.9643936868553450_dp, 0.9464908532707880_dp, &
+         & 0.9282109630819090_dp, 0.9097035177536550_dp, 0.8911175063740160_dp, 0.8725978761767410_dp, &
+         & 0.8542824334936230_dp, 0.8362992664673360_dp, 0.8187647389393360_dp, 0.8017820655241370_dp, &
+         & 0.7854404439152060_dp, 0.7698146938216150_dp, 0.7549653334505280_dp, 0.7409390140444710_dp, &
+         & 0.7277692298689690_dp, 0.7154772239657921_dp, 0.7040730174483800_dp, 0.6935565005971540_dp, &
+         & 0.6839185360979200_dp, 0.6751420372638390_dp, 0.6672029960408850_dp, 0.6600714463436650_dp, &
+         & 0.6537123573562980_dp, 0.6480864586281850_dp, 0.6431510040104770_dp, 0.6388604847528110_dp, &
+         & 0.6351673035284480_dp, 0.6320224209502920_dp, 0.6293759845048470_dp, 0.6271779470187649_dp, &
+         & 0.6253786780807220_dp, 0.6239295675975710_dp, 0.6227836162279770_dp, 0.6218960031858960_dp, &
+         & 0.6212246182155210_dp, 0.6207305417592009_dp, 0.6203784557550019_dp, 0.6201369673138400_dp, &
+         & 0.6199788288185890_dp, 0.6198810407106520_dp, 0.6198248272070120_dp, 0.6197954801274080_dp, &
+         & 0.6197820715320720_dp, 0.6197770415580520_dp, 0.6197756732881740_dp, 0.6197754713345920_dp, &
+         & 0.6197754558209280_dp, 0.6197751780620140_dp, 0.6197732962070720_dp, 0.6197663783500500_dp, &
+         & 0.6197479381964680_dp, 0.6197075839614290_dp, 0.6196303068663550_dp, 0.6194959404137420_dp, &
+         & 0.6192788196810850_dp, 0.6189476674767320_dp, 0.6184657309300970_dp, 0.6177911874246010_dp, &
+         & 0.6168778321658410_dp, 0.6156760506224260_dp, 0.6141340673022880_dp, 0.6121994478670419_dp, &
+         & 0.6098208149262380_dp, 0.6069497199723340_dp, 0.6035425963150520_dp, 0.5995627024573480_dp, &
+         & 0.5949819542641990_dp, 0.5897825395865650_dp, 0.5839582123917640_dp, 0.5775151758455760_dp, &
+         & 0.5704724850823620_dp, 0.5628619293120780_dp, 0.5547273870378010_dp, 0.5461236842140240_dp, &
+         & 0.5371150194393980_dp, 0.5277730491140600_dp, 0.5181747459044170_dp, 0.5084001539235460_dp, &
+         & 0.4985301631674160_dp, 0.4886444147122400_dp, 0.4788194289169070_dp, 0.4691270241101930_dp, &
+         & 0.4596330660520780_dp, 0.4503965617956420_dp, 0.4414690879157630_dp, 0.4328945241503990_dp, &
+         & 0.4247090502402670_dp, 0.4169413562832740_dp, 0.4096130147336940_dp, 0.4027389643302830_dp, &
+         & 0.3963280615615760_dp, 0.3903836625745780_dp, 0.3849042066161840_dp, 0.3798837802801670_dp, &
+         & 0.3753126493686950_dp, 0.3711777516586210_dp, 0.3674631490787590_dp, 0.3641504417132780_dp, &
+         & 0.3612191487021190_dp, 0.3586470626405860_dp, 0.3564105846327550_dp, 0.3544850468875610_dp, &
+         & 0.3528450288091850_dp, 0.3514646710689250_dp, 0.3503179902843670_dp, 0.3493791948131250_dp, &
+         & 0.3486229999234500_dp, 0.3480249383880650_dp, 0.3475616605089580_dp, 0.3472112158790850_dp, &
+         & 0.3469533079691590_dp, 0.3467695120177860_dp, 0.3466434467877090_dp, 0.3465608915638540_dp, &
+         & 0.3465098412832930_dp, 0.3464804948152110_dp, 0.3464651740027020_dp, 0.3464581739541470_dp, &
+         & 0.3464555480196910_dp, 0.3464548337042570_dp, 0.3464547282728740_dp, 0.3464547201120640_dp, &
+         & 0.3464545731946630_dp, 0.3464535778091570_dp, 0.3464499186873130_dp, 0.3464401649702750_dp, &
+         & 0.3464188200024410_dp, 0.3463779449136690_dp, 0.3463068724216500_dp, 0.3461920262263760_dp, &
+         & 0.3460168600556700_dp, 0.3457619286424600_dp, 0.3454051003932510_dp, 0.3449219179451150_dp, &
+         & 0.3442861079486620_dp, 0.3434702351042630_dp, 0.3424464877485040_dp, 0.3411875734073390_dp, &
+         & 0.3396676932633080_dp, 0.3378635552641070_dp, 0.3357553777084230_dp, 0.3333278297659630_dp, &
+         & 0.3305708536587990_dp, 0.3274803160148990_dp, 0.3240584436085500_dp, 0.3203140110961440_dp, &
+         & 0.3162622645323690_dp, 0.3119245828669220_dp, 0.3073278983003860_dp, 0.3025039131960340_dp, &
+         & 0.2974881642832230_dp, 0.2923189927480220_dp, 0.2870364808308490_dp, 0.2816814119199340_dp, &
+         & 0.2762943027672550_dp, 0.2709145448456100_dp, 0.2655796787343260_dp, 0.2603248124639920_dp, &
+         & 0.2551821833432650_dp, 0.2501808538597880_dp, 0.2453465262036190_dp, 0.2407014567469330_dp, &
+         & 0.2362644510333640_dp, 0.2320509208872320_dp, 0.2280729874977400_dp, 0.2243396171712670_dp, &
+         & 0.2208567794050960_dp, 0.2176276196919960_dp, 0.2146526418353150_dp, 0.2119298964714460_dp, &
+         & 0.2094551739644290_dp, 0.2072222009091150_dp, 0.2052228402123430_dp, 0.2034472951700510_dp, &
+         & 0.2018843181617460_dp, 0.2005214245664600_dp, 0.1993451122831260_dp, 0.1983410868224520_dp, &
+         & 0.1974944913493740_dp, 0.1967901403145900_dp, 0.1962127544680070_dp, 0.1957471941482540_dp, &
+         & 0.1953786868596550_dp, 0.1950930443647680_dp, 0.1948768639121990_dp, 0.1947177078672270_dp, &
+         & 0.1946042559770830_dp, 0.1945264248250280_dp, 0.1944754497168050_dp, 0.1944439252858810_dp, &
+         & 0.1944258024422540_dp, 0.1944163408510350_dp, 0.1944120178098390_dp, 0.1944103960940000_dp, &
+         & 0.1944099549485540_dp, 0.1944098898364360_dp, 0.1944098847556430_dp, 0.1944097927591880_dp, &
+         & 0.1944091694701770_dp, 0.1944068782004680_dp, 0.1944007705677250_dp, 0.1943874044215190_dp, &
+         & 0.1943618076439720_dp, 0.1943172977345850_dp, 0.1942453662114330_dp, 0.1941356358108100_dp, &
+         & 0.1939758971613370_dp, 0.1937522299340770_dp, 0.1934492112966670_dp, 0.1930502117343740_dp, &
+         & 0.1925377748821970_dp, 0.1918940739776640_dp, 0.1911014330246270_dp, 0.1901428960350840_dp, &
+         & 0.1890028231677120_dp, 0.1876674887115970_dp, 0.1861256531955600_dp, 0.1843690809386520_dp, &
+         & 0.1823929754591660_dp, 0.1801963084761130_dp, 0.1777820236436300_dp, 0.1751571032366570_dp, &
+         & 0.1723324940910520_dp, 0.1693228973874030_dp, 0.1661464345196610_dp, 0.1628242076023700_dp, &
+         & 0.1593797776589130_dp, 0.1558385859950420_dp, 0.1522273447822330_dp, 0.1485734217360460_dp, &
+         & 0.1449042414069200_dp, 0.1412467224117930_dp, 0.1376267663212620_dp, 0.1340688101363550_dp, &
+         & 0.1305954505347840_dp, 0.1272271444572940_dp, 0.1239819872360500_dp, 0.1208755664089980_dp, &
+         & 0.1179208867042260_dp, 0.1151283594952590_dp, 0.1125058484029180_dp, 0.1100587617001450_dp, &
+         & 0.1077901818206470_dp, 0.1057010224895830_dp, 0.1037902047756490_dp, 0.1020548445045930_dp, &
+         & 0.1004904449015810_dp, 0.0990910898348005_dp, 0.0978496345287283_dp, 0.0967578919661634_dp, &
+         & 0.0958068142680446_dp, 0.0949866691681933_dp, 0.0942872120884743_dp, 0.0936978544693261_dp, &
+         & 0.0932078287348901_dp, 0.0928063498381420_dp, 0.0924827726428390_dp, 0.0922267436351945_dp, &
+         & 0.0920283447061934_dp, 0.0918782260663420_dp, 0.0917677248301345_dp, 0.0916889655986779_dp, &
+         & 0.0916349393342273_dp, 0.0915995572207038_dp, 0.0915776767681962_dp, 0.0915650983682781_dp, &
+         & 0.0915585315099747_dp, 0.0915555311035234_dp, 0.0915544055556268_dp, 0.0915540993792519_dp, &
+         & 0.0915540541888049_dp, 0.0915540506323111_dp, 0.0915539858542900_dp, 0.0915535469770106_dp, &
+         & 0.0915519336253254_dp, 0.0915476330734748_dp, 0.0915382216994516_dp, 0.0915201988504180_dp, &
+         & 0.0914888602783606_dp, 0.0914382177102908_dp, 0.0913609705218477_dp, 0.0912485346120349_dp, &
+         & 0.0910911325222941_dp, 0.0908779472932650_dp, 0.0905973406740799_dp, 0.0902371337784018_dp, &
+         & 0.0897849453461816_dp, 0.0892285794176075_dp, 0.0885564505762346_dp, 0.0877580313679118_dp, &
+         & 0.0868243032609683_dp, 0.0857481900136321_dp, 0.0845249508953856_dp, 0.0831525112338340_dp, &
+         & 0.0816317093904502_dp, 0.0799664425535838_dp, 0.0781636987365459_dp, 0.0762334684797850_dp, &
+         & 0.0741885368373119_dp, 0.0720441635727695_dp, 0.0698176663939449_dp, 0.0675279281555845_dp, &
+         & 0.0651948534062399_dp, 0.0628388023871196_dp, 0.0604800310799334_dp, 0.0581381642242036_dp, &
+         & 0.0558317246745332_dp, 0.0535777374088156_dp, 0.0513914203075387_dp, 0.0492859676653126_dp, &
+         & 0.0472724261129969_dp, 0.0453596570925896_dp, 0.0435394655044377_dp, 0.0418482057222036_dp, &
+         & 0.0402715962106015_dp, 0.0388107420467918_dp, 0.0374652352875984_dp, 0.0362333643461312_dp, &
+         & 0.0351123200509136_dp, 0.0340983905599614_dp, 0.0331871397778229_dp, 0.0323735662049813_dp, &
+         & 0.0316522411316811_dp, 0.0310174266998615_dp, 0.0304631755725637_dp, 0.0299834147654252_dp, &
+         & 0.0295720166353135_dp, 0.0292228601259836_dp, 0.0289298851933637_dp, 0.0286871429292717_dp, &
+         & 0.0284888433277786_dp, 0.0283294019500033_dp, 0.0282034859969826_dp, 0.0281060595564355_dp, &
+         & 0.0280324271073056_dp, 0.0279782738004855_dp, 0.0279397006314213_dp, 0.0279132524171217_dp, &
+         & 0.0278959364980977_dp, 0.0278852303074331_dp, 0.0278790763561716_dp, 0.0278758637422101_dp, &
+         & 0.0278743959416090_dp, 0.0278738453301202_dp, 0.0278736955514916_dp, 0.0278736734445175_dp, &
+         & 0.0278736716894059_dp, 0.0278736395245716_dp, 0.0278734216038004_dp, 0.0278726205131647_dp, &
+         & 0.0278704851704106_dp, 0.0278658123842774_dp, 0.0278568648162576_dp, 0.0278413092274548_dp, &
+         & 0.0278161788232438_dp, 0.0277778633956842_dp, 0.0277221307276534_dp, 0.0276441822625486_dp, &
+         & 0.0275387452524143_dp, 0.0274002023807185_dp, 0.0272227581525044_dp, 0.0270006391485964_dp, &
+         & 0.0267283226276760_dp, 0.0264007850887822_dp, 0.0260137595340950_dp, 0.0255639876268532_dp, &
+         & 0.0250494510981980_dp, 0.0244695659929164_dp, 0.0238253239638766_dp, 0.0231193670080927_dp, &
+         & 0.0223559857831788_dp, 0.0215410367374460_dp, 0.0206817793074663_dp, 0.0197866407858101_dp, &
+         & 0.0188649224345028_dp, 0.0179264652984443_dp, 0.0169812973439889_dp, 0.0160392846046165_dp, &
+         & 0.0151098078540883_dp, 0.0142014831602069_dp, 0.0133219399851612_dp, 0.0124776649280278_dp, &
+         & 0.0116739134313946_dp, 0.0109146864180047_dp, 0.0102027644004039_dp, 0.0095397884859807_dp, &
+         & 0.0089263760524716_dp, 0.0083622586288925_dp, 0.0078464304136219_dp, 0.0073772975099615_dp, &
+         & 0.0069528199993698_dp, 0.0065706411283912_dp, 0.0062281999820613_dp, 0.0059228259069783_dp, &
+         & 0.0056518145204336_dp, 0.0054124863120109_dp, 0.0052022296068230_dp, 0.0050185300735421_dp, &
+         & 0.0048589891238748_dp, 0.0047213335462715_dp, 0.0046034186020591_dp, 0.0045032266171745_dp, &
+         & 0.0044188628471886_dp, 0.0043485501010423_dp, 0.0042906232976207_dp, 0.0042435248192447_dp, &
+         & 0.0042058012219144_dp, 0.0041761015760500_dp, 0.0041531774427881_dp, 0.0041358842535715_dp, &
+         & 0.0041231836592175_dp, 0.0041141462642003_dp, 0.0041079540699798_dp, 0.0041039019238127_dp, &
+         & 0.0041013973095971_dp, 0.0040999579163668_dp, 0.0040992065716523_dp, 0.0040988633099062_dp, &
+         & 0.0040987345460621_dp, 0.0040986995196874_dp, 0.0040986943498780_dp, 0.0040986939356742_dp, &
+         & 0.0040986862976098_dp, 0.0040986345489671_dp, 0.0040984443198937_dp, 0.0040979372728174_dp, &
+         & 0.0040968277842808_dp, 0.0040947036384296_dp, 0.0040910117874944_dp, 0.0040850502933978_dp, &
+         & 0.0040759676143409_dp, 0.0040627704061507_dp, 0.0040443409183837_dp, 0.0040194648327656_dp, &
+         & 0.0039868699664964_dp, 0.0039452756167293_dp, 0.0038934514560225_dp, 0.0038302838380417_dp, &
+         & 0.0037548462305068_dp, 0.0036664693887474_dp, 0.0035648059935056_dp, 0.0034498839866757_dp, &
+         & 0.0033221429255264_dp, 0.0031824484642726_dp, 0.0030320815963307_dp, 0.0028727014604186_dp, &
+         & 0.0027062830886706_dp, 0.0025350340866197_dp, 0.0023612964640449_dp, 0.0021874413243381_dp, &
+         & 0.0020157646890340_dp, 0.0018483924016834_dp, 0.0016872009539810_dp, 0.0015337593295755_dp, &
+         & 0.0013892946477227_dp, 0.0012546816945331_dp, 0.0011304537971597_dp, 0.0010168305866358_dp, &
+         & 0.0009137574959368_dp, 0.0008209522536617_dp, 0.0007379544755537_dp, 0.0006641750085947_dp, &
+         & 0.0005989418564383_dp, 0.0005415398871520_dp, 0.0004912426511368_dp, 0.0004475071075518_dp, &
+         & 0.0004091370647643_dp, 0.0003760035099134_dp, 0.0003475709337550_dp, 0.0003228925488372_dp, &
+         & 0.0003015696528905_dp, 0.0002833099606931_dp, 0.0002679129870984_dp, 0.0002547769186378_dp, &
+         & 0.0002435813943293_dp, 0.0002340621845605_dp, 0.0002259973862380_dp, 0.0002192606943225_dp, &
+         & 0.0002139456500032_dp, 0.0002096419053714_dp, 0.0002061511309108_dp, 0.0002033543334790_dp, &
+         & 0.0002011480217021_dp, 0.0001994399391663_dp, 0.0001981470649071_dp, 0.0001971944323174_dp, &
+         & 0.0001965146319520_dp, 0.0001960477918885_dp, 0.0001957417839407_dp, 0.0001955524276838_dp, &
+         & 0.0001954435284546_dp, 0.0001953866616731_dp, 0.0001953606760736_dp, 0.0001953509275410_dp, &
+         & 0.0001953482756392_dp, 0.0001953478842296_dp, 0.0001953478533778_dp, 0.0001953472907559_dp, &
+         & 0.0001953434789215_dp, 0.0001953294656687_dp, 0.0001952921073780_dp, 0.0001952103292382_dp, &
+         & 0.0001950536380946_dp, 0.0001947809241329_dp, 0.0001943395880915_dp, 0.0001936650646144_dp, &
+         & 0.0001926808963049_dp, 0.0001912996332720_dp, 0.0001894249321737_dp, 0.0001869552108360_dp, &
+         & 0.0001837889594754_dp, 0.0001798309914278_dp, 0.0001749969388669_dp, 0.0001694618716925_dp, &
+         & 0.0001634124674155_dp, 0.0001564252188899_dp, 0.0001485354893873_dp, 0.0001398139881132_dp, &
+         & 0.0001303676112911_dp, 0.0001206671329896_dp, 0.0001109508296508_dp, 0.0001009437387012_dp, &
+         & 9.0849253268743296e-05_dp, 8.1072260414316602e-05_dp, 7.1998031543785105e-05_dp, 6.3269402389209999e-05_dp, &
+         & 5.4993738530129101e-05_dp, 4.7788995615860599e-05_dp, 4.1167076489045899e-05_dp, 3.5100144401667401e-05_dp, &
+         & 3.0044275575846799e-05_dp, 2.5661824665235100e-05_dp, 2.1764593753914600e-05_dp, 1.8679581103242499e-05_dp, &
+         & 1.6088963050719899e-05_dp, 1.3723987748903700e-05_dp, 1.1876931878873600e-05_dp, 1.0309568708066800e-05_dp, &
+         & 8.6723223517992699e-06_dp, 7.3211445794640903e-06_dp, 6.0039836711211996e-06_dp, 4.3768626341034203e-06_dp, &
+         & 3.4529894890056299e-06_dp, 2.8461708438953801e-06_dp, 2.4879440871927702e-06_dp, 2.8232164765995498e-06_dp, &
+         & 3.0053057145096301e-06_dp, 2.9015666456189099e-06_dp, 2.6818600247224801e-06_dp, 2.3916310283311801e-06_dp, &
+         & 2.0472397608273198e-06_dp, 1.7015479585325000e-06_dp, 1.4057829957892001e-06_dp, 1.1805887538685100e-06_dp, &
+         & 1.0175485982699700e-06_dp, 8.9727198826494703e-07_dp, 7.9790055451667296e-07_dp, 7.0165840782010502e-07_dp, &
+         &  6.0113997335520295e-07_dp, 4.9760508602503304e-07_dp, 3.9621853886728802e-07_dp, -2.8421709430404001e-14_dp, &
+         & -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, &
+         & -2.8421709430404001e-14_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, &
+         & -1.4210854715202001e-14_dp &
+         &]
+      case (107)
+         out = [&
+         & 107.0000000000000000_dp, 106.9999998625559954_dp, 106.9999956125300002_dp, 106.9999668179240047_dp, &
+         & 106.9998609651420054_dp, 106.9995787946070038_dp, 106.9989612414400000_dp, 106.9977784388780009_dp, &
+         & 106.9957211774869990_dp, 106.9923951358580041_dp, 106.9873181113539999_dp, 106.9799203868739994_dp, &
+         & 106.9695482764199994_dp, 106.9554708038949968_dp, 106.9368893913469947_dp, 106.9129503691119965_dp, &
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+         & -2.8421709430404001e-14_dp &
+         &]
+      case (108)
+         out = [&
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+         & 67.8675343778413946_dp, 67.8671917329977958_dp, 67.8662783675073058_dp, 67.8642794887617953_dp, &
+         & 67.8604513941151026_dp, 67.8537942968836063_dp, 67.8430346350162949_dp, 67.8266179239330995_dp, &
+         & 67.8027129892558946_dp, 67.7692281493586961_dp, 67.7238396039391972_dp, 67.6640319172179971_dp, &
+         & 67.5871500613616973_dp, 67.4904620127288979_dp, 67.3712303848546981_dp, 67.2267910620154936_dp, &
+         & 67.0546362996312979_dp, 66.8524993239582983_dp, 66.6184371381864935_dp, 66.3509080676191019_dp, &
+         & 66.0488405868914015_dp, 65.7116901866250060_dp, 65.3394814567974009_dp, 64.9328331720687970_dp, &
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+         & 62.4455074932147980_dp, 61.8769924717668971_dp, 61.2932881108546965_dp, 60.6985642507758030_dp, &
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+         & 55.5277908803255968_dp, 55.0380930480661021_dp, 54.5748680412556979_dp, 54.1395850950536968_dp, &
+         & 53.7333224832459990_dp, 53.3567760593070020_dp, 53.0102728439442004_dp, 52.6937890414551973_dp, &
+         & 52.4069718842296979_dp, 52.1491647433245973_dp, 51.9194349983053982_dp, 51.7166042203371035_dp, &
+         & 51.5392802757324020_dp, 51.3858909915903013_dp, 51.2547190336414999_dp, 51.1439376267453980_dp, &
+         & 51.0516467030577985_dp, 50.9759089978996016_dp, 50.9147855377004035_dp, 50.8663698885889985_dp, &
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+         & 50.7542812636595002_dp, 50.7475719581636966_dp, 50.7434224479212972_dp, 50.7410368673833005_dp, &
+         & 50.7397913723324976_dp, 50.7392222937539970_dp, 50.7390088124732017_dp, 50.7389507403642028_dp, &
+         & 50.7389421690416995_dp, 50.7389415079387973_dp, 50.7389296366535021_dp, 50.7388492069553010_dp, &
+         & 50.7385535389735978_dp, 50.7377653974317013_dp, 50.7360405727142023_dp, 50.7327373414843024_dp, &
+         & 50.7269930398821032_dp, 50.7177088428146021_dp, 50.7035436803215021_dp, 50.6829180310814991_dp, &
+         & 50.6540281064513991_dp, 50.6148706683119016_dp, 50.5632784044706014_dp, 50.4969654144693010_dp, &
+         & 50.4135819405551970_dp, 50.3107770254428033_dp, 50.1862673113037019_dp, 50.0379097427920030_dp, &
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+         & 0.8310634612225269_dp, 0.8160222959859310_dp, 0.8013609026349260_dp, 0.7871609484077030_dp, &
+         & 0.7734928534392940_dp, 0.7604157228291371_dp, 0.7479775695853870_dp, 0.7362157577165650_dp, &
+         & 0.7251575999061119_dp, 0.7148210528235240_dp, 0.7052154635517101_dp, 0.6963423315025210_dp, &
+         & 0.6881960605704760_dp, 0.6807646855015290_dp, 0.6740305641817490_dp, 0.6679710336623690_dp, &
+         & 0.6625590322587560_dp, 0.6577636931045840_dp, 0.6535509162624890_dp, 0.6498839270438030_dp, &
+         & 0.6467238277294460_dp, 0.6440301485583430_dp, 0.6417614018065340_dp, 0.6398756401779200_dp, &
+         & 0.6383310177383660_dp, 0.6370863484487610_dp, 0.6361016542094260_dp, 0.6353386914588700_dp, &
+         & 0.6347614430196560_dp, 0.6343365602812410_dp, 0.6340337401498179_dp, 0.6338260216036100_dp, &
+         & 0.6336899882218180_dp, 0.6336058656562500_dp, 0.6335575065455570_dp, 0.6335322596049480_dp, &
+         & 0.6335207242686490_dp, 0.6335163969980330_dp, 0.6335152198785470_dp, 0.6335150461382850_dp, &
+         & 0.6335150327919340_dp, 0.6335147938364680_dp, 0.6335131748797660_dp, 0.6335072234500529_dp, &
+         & 0.6334913593257030_dp, 0.6334566421037660_dp, 0.6333901584022930_dp, 0.6332745549887020_dp, &
+         & 0.6330877421533220_dp, 0.6328027892532621_dp, 0.6323880312400260_dp, 0.6318074007749600_dp, &
+         & 0.6310209948169220_dp, 0.6299858769890390_dp, 0.6286571073937780_dp, 0.6269889799113459_dp, &
+         & 0.6249364337873540_dp, 0.6224565923042320_dp, 0.6195103677404460_dp, 0.6160640601874970_dp, &
+         & 0.6120908697932350_dp, 0.6075722392275510_dp, 0.6024989468330660_dp, 0.5968718815784509_dp, &
+         & 0.5907024482521310_dp, 0.5840125740528210_dp, 0.5768343137319361_dp, 0.5692090770340030_dp, &
+         & 0.5611865265059630_dp, 0.5528232132323860_dp, 0.5441810308293920_dp, 0.5353255731924800_dp, &
+         & 0.5263244791957790_dp, 0.5172458388622090_dp, 0.5081567222049440_dp, 0.4991218760005440_dp, &
+         & 0.4902026171837830_dp, 0.4814559360088000_dp, 0.4729338088022810_dp, 0.4646827097134860_dp, &
+         & 0.4567433035301320_dp, 0.4491502971934980_dp, 0.4419324256777200_dp, 0.4351125478743680_dp, &
+         & 0.4287078295185720_dp, 0.4227299925439780_dp, 0.4171856131661120_dp, 0.4120764541455630_dp, &
+         & 0.4073998198262960_dp, 0.4031489254976750_dp, 0.3993132752751050_dp, 0.3958790449516840_dp, &
+         & 0.3928294680835480_dp, 0.3901452248911710_dp, 0.3878048343518260_dp, 0.3857850501196220_dp, &
+         & 0.3840612606495880_dp, 0.3826078931732160_dp, 0.3813988200449930_dp, 0.3804077645551160_dp, &
+         & 0.3796087017115750_dp, 0.3789762478779860_dp, 0.3784860316735890_dp, 0.3781150373570480_dp, &
+         & 0.3778419111730070_dp, 0.3776472209579680_dp, 0.3775136597538020_dp, 0.3774261852907300_dp, &
+         & 0.3773720889383870_dp, 0.3773409899959570_dp, 0.3773247538610320_dp, 0.3773173355089480_dp, &
+         & 0.3773145526406550_dp, 0.3773137956341090_dp, 0.3773136839015620_dp, 0.3773136752529920_dp, &
+         & 0.3773135195549740_dp, 0.3773124646788230_dp, 0.3773085868540280_dp, 0.3772982500855020_dp, &
+         & 0.3772756287702630_dp, 0.3772323079689390_dp, 0.3771569781249870_dp, 0.3770352395466570_dp, &
+         & 0.3768495302081900_dp, 0.3765791882360220_dp, 0.3762006576332060_dp, 0.3756878421549890_dp, &
+         & 0.3750126076091790_dp, 0.3741454271250720_dp, 0.3730561571611450_dp, 0.3717149244235570_dp, &
+         & 0.3700930958733720_dp, 0.3681642962364720_dp, 0.3659054306847340_dp, 0.3632976655021450_dp, &
+         & 0.3603273174131090_dp, 0.3569866034946900_dp, 0.3532742085615150_dp, 0.3491956355344430_dp, &
+         & 0.3447633160488830_dp, 0.3399964724681300_dp, 0.3349207372720000_dp, 0.3295675500910700_dp, &
+         & 0.3239733651211760_dp, 0.3181787112111610_dp, 0.3122271528782930_dp, 0.3061642026195700_dp, &
+         & 0.3000362333259400_dp, 0.2938894349049260_dp, 0.2877688521594310_dp, 0.2817175324678800_dp, &
+         & 0.2757758027407820_dp, 0.2699806862529500_dp, 0.2643654618383660_dp, 0.2589593609927480_dp, &
+         & 0.2537873929117470_dp, 0.2488702835354250_dp, 0.2442245122555850_dp, 0.2398624289471630_dp, &
+         & 0.2357924341683880_dp, 0.2320192064847930_dp, 0.2285439626514720_dp, 0.2253647386138910_dp, &
+         & 0.2224766817488590_dp, 0.2198723472553750_dp, 0.2175419939379420_dp, 0.2154738766519420_dp, &
+         & 0.2136545343005880_dp, 0.2120690734317070_dp, 0.2107014481601080_dp, 0.2095347373404620_dp, &
+         & 0.2085514196688930_dp, 0.2077336467524450_dp, 0.2070635132395040_dp, 0.2065233219561410_dp, &
+         & 0.2060958407699620_dp, 0.2057645467346280_dp, 0.2055138520847490_dp, 0.2053293059717020_dp, &
+         & 0.2051977655468420_dp, 0.2051075301737060_dp, 0.2050484332045530_dp, 0.2050118868686750_dp, &
+         & 0.2049908773248600_dp, 0.2049799087310620_dp, 0.2049748971542300_dp, 0.2049730171491290_dp, &
+         & 0.2049725057431570_dp, 0.2049724302607390_dp, 0.2049724243707230_dp, 0.2049723177221520_dp, &
+         & 0.2049715951632150_dp, 0.2049689389700260_dp, 0.2049618586108010_dp, 0.2049463638061010_dp, &
+         & 0.2049166908896180_dp, 0.2048650940956800_dp, 0.2047817124622210_dp, 0.2046545219099870_dp, &
+         & 0.2044693806322750_dp, 0.2042101740547790_dp, 0.2038590631484280_dp, 0.2033968366665700_dp, &
+         & 0.2028033638617470_dp, 0.2020581394367440_dp, 0.2011409070533720_dp, 0.2000323419524360_dp, &
+         & 0.1987147675699110_dp, 0.1971728760223930_dp, 0.1953944186016660_dp, 0.1933708305682700_dp, &
+         & 0.1910977550678150_dp, 0.1885754342112160_dp, 0.1858089412838380_dp, 0.1828082363971500_dp, &
+         & 0.1795880380701500_dp, 0.1761675143828970_dp, 0.1725698084601820_dp, 0.1688214230664900_dp, &
+         & 0.1649514970788180_dp, 0.1609910118616680_dp, 0.1569719677606680_dp, 0.1529265700840200_dp, &
+         & 0.1488864603719830_dp, 0.1448820229847880_dp, 0.1409417897148590_dp, 0.1370919570033490_dp, &
+         & 0.1333560222181940_dp, 0.1297545380775920_dp, 0.1263049782119910_dp, 0.1230217022858400_dp, &
+         & 0.1199160060380110_dp, 0.1169962399331010_dp, 0.1142679797316220_dp, 0.1117342330550310_dp, &
+         & 0.1093956677250530_dp, 0.1072508499632220_dp, 0.1052964830808210_dp, 0.1035276397887370_dp, &
+         & 0.1019379835633170_dp, 0.1005199765623960_dp, 0.0992650733562073_dp, 0.0981639011601345_dp, &
+         & 0.0972064282615293_dp, 0.0963821228873627_dp, 0.0956801048871512_dp, 0.0950892923613793_dp, &
+         & 0.0945985448318538_dp, 0.0941968037951000_dp, 0.0938732306031511_dp, 0.0936173406500416_dp, &
+         & 0.0934191318944073_dp, 0.0932692049102712_dp, 0.0931588710138556_dp, 0.0930802446346064_dp, &
+         & 0.0930263160359885_dp, 0.0929910007625097_dp, 0.0929691627854083_dp, 0.0929566091979410_dp, &
+         & 0.0929500554074849_dp, 0.0929470609981138_dp, 0.0929459377033481_dp, 0.0929456321410385_dp, &
+         & 0.0929455870407025_dp, 0.0929455834915416_dp, 0.0929455188438055_dp, 0.0929450808466470_dp, &
+         & 0.0929434707328625_dp, 0.0929391788380656_dp, 0.0929297865244649_dp, 0.0929118006265526_dp, &
+         & 0.0928805277126656_dp, 0.0928299950241467_dp, 0.0927529244201111_dp, 0.0926407649169505_dp, &
+         & 0.0924837883440262_dp, 0.0922712511071495_dp, 0.0919916229444908_dp, 0.0916328808038998_dp, &
+         & 0.0911828625768436_dp, 0.0906296714990305_dp, 0.0899621178002405_dp, 0.0891701800023554_dp, &
+         & 0.0882454645695532_dp, 0.0871816399074277_dp, 0.0859748194790484_dp, 0.0846238694500130_dp, &
+         & 0.0831306190205225_dp, 0.0814999564430821_dp, 0.0797398003894898_dp, 0.0778609443026426_dp, &
+         & 0.0758767799244708_dp, 0.0738029144887093_dp, 0.0716567032421551_dp, 0.0694567242476438_dp, &
+         & 0.0672222252855192_dp, 0.0649725729106052_dp, 0.0627267314933988_dp, 0.0605027958465598_dp, &
+         & 0.0583175954203057_dp, 0.0561863816841992_dp, 0.0541226037850180_dp, 0.0521377714396607_dp, &
+         & 0.0502413988228625_dp, 0.0484410193622153_dp, 0.0467422590396325_dp, 0.0451489548938326_dp, &
+         & 0.0436633055768993_dp, 0.0422860416897777_dp, 0.0410166049805269_dp, 0.0398533272471155_dp, &
+         & 0.0387936018509123_dp, 0.0378340429315074_dp, 0.0369706294654151_dp, 0.0361988330199523_dp, &
+         & 0.0355137293426253_dp, 0.0349100948475893_dp, 0.0343824897067151_dp, 0.0339253296920674_dp, &
+         & 0.0335329491573333_dp, 0.0331996575728226_dp, 0.0329197918371165_dp, 0.0326877662032814_dp, &
+         & 0.0324981211267215_dp, 0.0323455717272054_dp, 0.0322250559151058_dp, 0.0321317816117244_dp, &
+         & 0.0320612719408757_dp, 0.0320094068259351_dp, 0.0319724591252992_dp, 0.0319471233113404_dp, &
+         & 0.0319305347539114_dp, 0.0319202779085970_dp, 0.0319143821135555_dp, 0.0319113042303343_dp, &
+         & 0.0319098979778403_dp, 0.0319093704533344_dp, 0.0319092269547525_dp, 0.0319092057747099_dp, &
+         & 0.0319092040931821_dp, 0.0319091732768157_dp, 0.0319089644919188_dp, 0.0319081969843893_dp, &
+         & 0.0319061511511478_dp, 0.0319016741997302_dp, 0.0318931014693646_dp, 0.0318781970714070_dp, &
+         & 0.0318541174049329_dp, 0.0318174009570242_dp, 0.0317639875335516_dp, 0.0316892696023388_dp, &
+         & 0.0315881776640907_dp, 0.0314553004227207_dp, 0.0312850389475869_dp, 0.0310717920142451_dp, &
+         & 0.0308101674458925_dp, 0.0304952117105017_dp, 0.0301226474870191_dp, 0.0296891066902134_dp, &
+         & 0.0291923448684202_dp, 0.0286314222919373_dp, 0.0280068377258402_dp, 0.0273206030061033_dp, &
+         & 0.0265762501065012_dp, 0.0257787671132377_dp, 0.0249344648655665_dp, 0.0240507812683148_dp, &
+         & 0.0231360348043523_dp, 0.0221991422194918_dp, 0.0212493176330923_dp, 0.0202957714050171_dp, &
+         & 0.0193474267023674_dp, 0.0184126694633306_dp, 0.0174991433121221_dp, 0.0166135957060902_dp, &
+         & 0.0157617766278264_dp, 0.0149483876449779_dp, 0.0141770772021061_dp, 0.0134504765709238_dp, &
+         & 0.0127702690568299_dp, 0.0121372831038542_dp, 0.0115515991330852_dp, 0.0110126611979240_dp, &
+         & 0.0105193872763891_dp, 0.0100702745787231_dp, 0.0096634973857022_dp, 0.0092969949001827_dp, &
+         & 0.0089685466704310_dp, 0.0086758342517612_dp, 0.0084164896265264_dp, 0.0081881324342419_dp, &
+         & 0.0079883985029312_dp, 0.0078149616512491_dp, 0.0076655499798619_dp, 0.0075379575131649_dp, &
+         & 0.0074300521796715_dp, 0.0073397814124974_dp, 0.0072651767526537_dp, 0.0072043586185373_dp, &
+         & 0.0071555419662275_dp, 0.0071170430854863_dp, 0.0070872873832713_dp, 0.0070648177373869_dp, &
+         & 0.0070483028330131_dp, 0.0070365447942464_dp, 0.0070284853720892_dp, 0.0070232099507024_dp, &
+         & 0.0070199486938805_dp, 0.0070180742736170_dp, 0.0070170957961722_dp, 0.0070166487534493_dp, &
+         & 0.0070164810574198_dp, 0.0070164354405193_dp, 0.0070164287075727_dp, 0.0070164281681002_dp, &
+         & 0.0070164182191519_dp, 0.0070163508138563_dp, 0.0070161030291587_dp, 0.0070154425585116_dp, &
+         & 0.0070139972992109_dp, 0.0070112300851548_dp, 0.0070064198486080_dp, 0.0069986505179145_dp, &
+         & 0.0069868089694012_dp, 0.0069695933099325_dp, 0.0069455326288335_dp, 0.0069130190698985_dp, &
+         & 0.0068703526013536_dp, 0.0068157981806110_dp, 0.0067476541426430_dp, 0.0066643296335798_dp, &
+         & 0.0065644278475645_dp, 0.0064468307907930_dp, 0.0063107803703417_dp, 0.0061559498767991_dp, &
+         & 0.0059824995396980_dp, 0.0057911100423951_dp, 0.0055829890166450_dp, 0.0053598478102543_dp, &
+         & 0.0051238490231498_dp, 0.0048775286429645_dp, 0.0046236989790884_dp, 0.0043653393014154_dp, &
+         & 0.0041054805366088_dp, 0.0038470899838075_dp, 0.0035929629415108_dp, 0.0033456296433201_dp, &
+         & 0.0031072854314402_dp, 0.0028797480499918_dp, 0.0026644400005438_dp, 0.0024623897497094_dp, &
+         & 0.0022742461098346_dp, 0.0021003051775921_dp, 0.0019405529798178_dp, 0.0017947221066521_dp, &
+         & 0.0016623513087524_dp, 0.0015428362620185_dp, 0.0014354676739430_dp, 0.0013394591372986_dp, &
+         & 0.0012539718045872_dp, 0.0011781465395586_dp, 0.0011111442045575_dp, 0.0010521767252811_dp, &
+         & 0.0010005135738709_dp, 0.0009554716857423_dp, 0.0009164082253506_dp, 0.0008827202882742_dp, &
+         & 0.0008538431330436_dp, 0.0008292470249671_dp, 0.0008084397671979_dp, 0.0007909733278382_dp, &
+         & 0.0007764456477588_dp, 0.0007644947416310_dp, 0.0007547900617055_dp, 0.0007470262820704_dp, &
+         & 0.0007409206755966_dp, 0.0007362126748802_dp, 0.0007326641637206_dp, 0.0007300598761475_dp, &
+         & 0.0007282077633306_dp, 0.0007269392686737_dp, 0.0007261094144155_dp, 0.0007255965847861_dp, &
+         & 0.0007253018986262_dp, 0.0007251480866302_dp, 0.0007250778179753_dp, 0.0007250514592840_dp, &
+         & 0.0007250442892399_dp, 0.0007250432309434_dp, 0.0007250431453940_dp, 0.0007250415584394_dp, &
+         & 0.0007250308065920_dp, 0.0007249912826097_dp, 0.0007248859332663_dp, 0.0007246554150839_dp, &
+         & 0.0007242140841583_dp, 0.0007234470423043_dp, 0.0007222084764322_dp, 0.0007203215500056_dp, &
+         & 0.0007175801288639_dp, 0.0007137526473571_dp, 0.0007085884285942_dp, 0.0007018267220928_dp, &
+         & 0.0006932085232734_dp, 0.0006824908206085_dp, 0.0006694624233603_dp, 0.0006539604553240_dp, &
+         & 0.0006358872973635_dp, 0.0006152282088721_dp, 0.0005920658461207_dp, 0.0005665701564652_dp, &
+         & 0.0005389386664092_dp, 0.0005093679463499_dp, 0.0004781471424735_dp, 0.0004458218059398_dp, &
+         & 0.0004131440667123_dp, 0.0003804009940040_dp, 0.0003478560201415_dp, 0.0003160272228939_dp, &
+         & 0.0002860349948293_dp, 0.0002574044274866_dp, 0.0002300270089819_dp, 0.0002048335539655_dp, &
+         & 0.0001821040717118_dp, 0.0001608199910663_dp, 0.0001430816125634_dp, 0.0001273687065577_dp, &
+         & 1.1305585326226700e-04_dp, 9.9885647216524403e-05_dp, 8.7757392506659899e-05_dp, 7.6583714957223506e-05_dp, &
+         & 6.6144864049988401e-05_dp, 5.6096055033094699e-05_dp, 4.6141265528376600e-05_dp, 3.6239645652358397e-05_dp, &
+         & 2.6663104392810099e-05_dp, 1.7865550958617900e-05_dp, 1.0340275210296600e-05_dp, 4.5492127895840903e-06_dp, &
+         & 2.9468154707501501e-06_dp, 2.5776717933467799e-06_dp, 1.8687070877376799e-06_dp, 2.2804327670655800e-06_dp, &
+         & 2.5386205209088101e-06_dp, 2.4143346308847000e-06_dp, 2.1068811975055698e-06_dp, 1.7877475642080800e-06_dp, &
+         & 1.5472675727323799e-06_dp, 1.3942160705937599e-06_dp, 1.2987931654606699e-06_dp, 1.2204349957301000e-06_dp, &
+         & 1.1143827407522601e-06_dp, 9.6932105009273094e-07_dp, 7.9979211875524904e-07_dp, 6.2585924354152698e-07_dp, &
+         & 4.6411473419993902e-07_dp, 3.2510689607079300e-07_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, &
+         & 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 2.8421709430404001e-14_dp, 1.4210854715202001e-14_dp, &
+         & 2.8421709430404001e-14_dp &
+         &]
+      case (109)
+         out = [&
+         & 109.0000000000000000_dp, 108.9999998588969987_dp, 108.9999954956969930_dp, 108.9999659343289977_dp, &
+         & 108.9998572628239941_dp, 108.9995675784339966_dp, 108.9989335805040014_dp, 108.9977192808960069_dp, &
+         & 108.9956072353759993_dp, 108.9921926198660032_dp, 108.9869803859759969_dp, 108.9793856351769961_dp, &
+         & 108.9687372553990059_dp, 108.9542847733689968_dp, 108.9352082961830064_dp, 108.9106313508009976_dp, &
+         & 108.8796363826340041_dp, 108.8412826430879932_dp, 108.7946261756190012_dp, 108.7387415912860007_dp, &
+         & 108.6727452955900048_dp, 108.5958197759249941_dp, 108.5072384735290001_dp, 108.4063906431170068_dp, &
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+         & -1.4210854715202001e-14_dp &
+         &]
+      case (110)
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+         & 68.9602593380083988_dp, 68.9534689819700048_dp, 68.9424939510711994_dp, 68.9257486687545935_dp, &
+         & 68.9013653578619056_dp, 68.8672105676970006_dp, 68.8209141610760042_dp, 68.7599106498148984_dp, &
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+         & 52.3316585955952007_dp, 52.1755886952100028_dp, 52.0421298848172000_dp, 51.9294210836539989_dp, &
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+         & 51.4310319243869998_dp, 51.3911998280999995_dp, 51.3387193638176029_dp, 51.2712659169228004_dp, &
+         & 51.1864502770640968_dp, 51.0818824865348020_dp, 50.9552419406531030_dp, 50.8043514530641005_dp, &
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+         & 0.7159675192385890_dp, 0.7018713951926970_dp, 0.6881259182376310_dp, 0.6748070275860700_dp, &
+         & 0.6619803915364320_dp, 0.6497013557193010_dp, 0.6380151444132880_dp, 0.6269572511082520_dp, &
+         & 0.6165539604911170_dp, 0.6068229527264460_dp, 0.5977739507945330_dp, 0.5894093815567060_dp, &
+         & 0.5817250303447991_dp, 0.5747106767420010_dp, 0.5683507056334780_dp, 0.5626246925331631_dp, &
+         & 0.5575079657262880_dp, 0.5529721500450930_dp, 0.5489856982720910_dp, 0.5455144163836390_dp, &
+         & 0.5425219882375250_dp, 0.5399705039900620_dp, 0.5378209946164110_dp, 0.5360339725301200_dp, &
+         & 0.5345699755986860_dp, 0.5333901090041170_dp, 0.5324565765955070_dp, 0.5317331908447041_dp, &
+         & 0.5311858484633090_dp, 0.5307829573850000_dp, 0.5304958003296180_dp, 0.5302988206667010_dp, &
+         & 0.5301698178270020_dp, 0.5300900420223230_dp, 0.5300441813999160_dp, 0.5300202387597180_dp, &
+         & 0.5300092993380900_dp, 0.5300051956106270_dp, 0.5300040792998150_dp, 0.5300039145347740_dp, &
+         & 0.5300039018778900_dp, 0.5300036752665560_dp, 0.5300021399430790_dp, 0.5299964959543220_dp, &
+         & 0.5299814513274300_dp, 0.5299485274170760_dp, 0.5298854775907960_dp, 0.5297758440535740_dp, &
+         & 0.5295986756656110_dp, 0.5293284272566720_dp, 0.5289350579198240_dp, 0.5283843417349910_dp, &
+         & 0.5276383989609170_dp, 0.5266564486285010_dp, 0.5253957744952090_dp, 0.5238128855407640_dp, &
+         & 0.5218648399772970_dp, 0.5195106888564140_dp, 0.5167129828917040_dp, 0.5134392754774670_dp, &
+         & 0.5096635476029550_dp, 0.5053674778841640_dp, 0.5005414843422780_dp, 0.4951854743263910_dp, &
+         & 0.4893092547740570_dp, 0.4829325756438290_dp, 0.4760848028838040_dp, 0.4688042412842890_dp, &
+         & 0.4611371494300440_dp, 0.4531365064626130_dp, 0.4448606018725200_dp, 0.4363715243502500_dp, &
+         & 0.4277336240369040_dp, 0.4190120153395610_dp, 0.4102711763483170_dp, 0.4015736875635130_dp, &
+         & 0.3929791387691350_dp, 0.3845432198217080_dp, 0.3763169997790210_dp, 0.3683463896525440_dp, &
+         & 0.3606717772473330_dp, 0.3533278179075270_dp, 0.3463433622210910_dp, 0.3397415005190540_dp, &
+         & 0.3335397039934800_dp, 0.3277500431714630_dp, 0.3223794660773650_dp, 0.3174301204931420_dp, &
+         & 0.3128997071116260_dp, 0.3087818529154870_dp, 0.3050664966522020_dp, 0.3017402806718650_dp, &
+         & 0.2987869455171790_dp, 0.2961877253903400_dp, 0.2939217438776750_dp, 0.2919664100307950_dp, &
+         & 0.2902978150619050_dp, 0.2888911295247850_dp, 0.2877209999860070_dp, 0.2867619429384690_dp, &
+         & 0.2859887322058230_dp, 0.2853767744946510_dp, 0.2849024662416040_dp, 0.2845435236538520_dp, &
+         & 0.2842792770107540_dp, 0.2840909200116640_dp, 0.2839617053027300_dp, 0.2838770783221630_dp, &
+         & 0.2838247432377730_dp, 0.2837946569232340_dp, 0.2837789494927700_dp, 0.2837717727150280_dp, &
+         & 0.2837690804703780_dp, 0.2837683481157570_dp, 0.2837682400217860_dp, 0.2837682316548470_dp, &
+         & 0.2837680810271480_dp, 0.2837670605031380_dp, 0.2837633089608570_dp, 0.2837533088183620_dp, &
+         & 0.2837314242171090_dp, 0.2836895143732220_dp, 0.2836166383906260_dp, 0.2834988664295680_dp, &
+         & 0.2833192104548910_dp, 0.2830576857030000_dp, 0.2826915113182050_dp, 0.2821954551147740_dp, &
+         & 0.2815423229559850_dp, 0.2807035877142140_dp, 0.2796501462298410_dp, 0.2783531853260970_dp, &
+         & 0.2767851301682070_dp, 0.2749206406623870_dp, 0.2727376149226470_dp, 0.2702181539054180_dp, &
+         & 0.2673494389214850_dp, 0.2641244745157820_dp, 0.2605426535243960_dp, 0.2566101089628320_dp, &
+         & 0.2523398283447160_dp, 0.2477515192624790_dp, 0.2428712294614430_dp, 0.2377307389327680_dp, &
+         & 0.2323667544830240_dp, 0.2268199477191640_dp, 0.2211338846376380_dp, 0.2153538986109850_dp, &
+         & 0.2095259584902320_dp, 0.2036955800924720_dp, 0.1979068230872370_dp, 0.1922014069740500_dp, &
+         & 0.1866179702784760_dp, 0.1811914871133670_dp, 0.1759528456083070_dp, 0.1709285840452280_dp, &
+         & 0.1661407733231640_dp, 0.1616070289111780_dp, 0.1573406318532020_dp, 0.1533507366260520_dp, &
+         & 0.1496426435463580_dp, 0.1462181147041120_dp, 0.1430757147434040_dp, 0.1402111608590810_dp, &
+         & 0.1376176697934570_dp, 0.1352862930907720_dp, 0.1332062351509360_dp, 0.1313651515177130_dp, &
+         & 0.1297494272087500_dp, 0.1283444366611380_dp, 0.1271347879939530_dp, 0.1261045547867780_dp, &
+         & 0.1252374984842530_dp, 0.1245172839393690_dp, 0.1239276896022830_dp, 0.1234528125738730_dp, &
+         & 0.1230772673123820_dp, 0.1227863753546500_dp, 0.1225663421391370_dp, 0.1224044160263420_dp, &
+         & 0.1222890240137100_dp, 0.1222098785128200_dp, 0.1221580499226040_dp, 0.1221260005861210_dp, &
+         & 0.1221075769913260_dp, 0.1220979586761080_dp, 0.1220935640938730_dp, 0.1220919155513940_dp, &
+         & 0.1220914671094700_dp, 0.1220914009204390_dp, 0.1220913957556040_dp, 0.1220913022376350_dp, &
+         & 0.1220906686404820_dp, 0.1220883394846480_dp, 0.1220821309196230_dp, 0.1220685441817580_dp, &
+         & 0.1220425260794540_dp, 0.1219972870347160_dp, 0.1219241865757540_dp, 0.1218126953921650_dp, &
+         & 0.1216504419898000_dp, 0.1214233504471170_dp, 0.1211158735875980_dp, 0.1207113228874450_dp, &
+         & 0.1201922925370550_dp, 0.1195411702797320_dp, 0.1187407221085980_dp, 0.1177747319230630_dp, &
+         & 0.1166286712947910_dp, 0.1152903691698700_dp, 0.1137506473155840_dp, 0.1120038852796200_dp, &
+         & 0.1100484791334400_dp, 0.1078871616814750_dp, 0.1055271581988820_dp, 0.1029801608275990_dp, &
+         & 0.1002621158743010_dp, 0.0973928304714633_dp, 0.0943954172423531_dp, 0.0912956065542687_dp, &
+         & 0.0881209645595931_dp, 0.0849000606631307_dp, 0.0816616298383934_dp, 0.0784337732853828_dp, &
+         & 0.0752432356402721_dp, 0.0721147890344156_dp, 0.0690707447165551_dp, 0.0661306027476058_dp, &
+         & 0.0633108404537381_dp, 0.0606248317098448_dp, 0.0580828823104440_dp, 0.0556923619970604_dp, &
+         & 0.0534579112079427_dp, 0.0513817001386769_dp, 0.0494637189043772_dp, 0.0477020800382917_dp, &
+         & 0.0460933177799348_dp, 0.0446326721768315_dp, 0.0433143496018573_dp, 0.0421317546208684_dp, &
+         & 0.0410776910594279_dp, 0.0401445325118459_dp, 0.0393243643751191_dp, 0.0386091007771086_dp, &
+         & 0.0379905805483105_dp, 0.0374606467162408_dp, 0.0370112139458882_dp, 0.0366343279755483_dp, &
+         & 0.0363222204668574_dp, 0.0360673618666425_dp, 0.0358625139310078_dp, 0.0357007825596298_dp, &
+         & 0.0355756706003376_dp, 0.0354811293840243_dp, 0.0354116070060968_dp, 0.0353620908391719_dp, &
+         & 0.0353281414896998_dp, 0.0353059154160604_dp, 0.0352921737080010_dp, 0.0352842750574069_dp, &
+         & 0.0352801516754795_dp, 0.0352782677653778_dp, 0.0352775610613776_dp, 0.0352773688222499_dp, &
+         & 0.0352773404482036_dp, 0.0352773382152947_dp, 0.0352772975433311_dp, 0.0352770219856922_dp, &
+         & 0.0352760090189435_dp, 0.0352733089164019_dp, 0.0352674002896691_dp, 0.0352560864079976_dp, &
+         & 0.0352364172470203_dp, 0.0352046421537011_dp, 0.0351561978959012_dp, 0.0350857365833974_dp, &
+         & 0.0349871973678830_dp, 0.0348539248094681_dp, 0.0346788352032377_dp, 0.0344546299148192_dp, &
+         & 0.0341740518699396_dp, 0.0338301778844823_dp, 0.0334167357346757_dp, 0.0329284311048070_dp, &
+         & 0.0323612662675998_dp, 0.0317128300686278_dp, 0.0309825379935234_dp, 0.0301718022002149_dp, &
+         & 0.0292841146000740_dp, 0.0283250313133152_dp, 0.0273020537527771_dp, 0.0262244095511619_dp, &
+         & 0.0251027446920205_dp, 0.0239487455739322_dp, 0.0227747154423241_dp, 0.0215931329685333_dp, &
+         & 0.0204162213619412_dp, 0.0192555542567874_dp, 0.0181217200747597_dp, 0.0170240602906091_dp, &
+         & 0.0159704898787680_dp, 0.0149674010981471_dp, 0.0140196454726436_dp, 0.0131305839022531_dp, &
+         & 0.0123021915699013_dp, 0.0115352027169990_dp, 0.0108292802982106_dp, 0.0101831967251940_dp, &
+         & 0.0095950140133851_dp, 0.0090622542568894_dp, 0.0085820540620602_dp, 0.0081512990659434_dp, &
+         & 0.0077667367669392_dp, 0.0074250675631618_dp, 0.0071230151469024_dp, 0.0068573782899932_dp, &
+         & 0.0066250666022540_dp, 0.0064231230941516_dp, 0.0062487363807122_dp, 0.0060992451989108_dp, &
+         & 0.0059721376427859_dp, 0.0058650472027182_dp, 0.0057757473512368_dp, 0.0057021460639390_dp, &
+         & 0.0056422813020447_dp, 0.0055943181231157_dp, 0.0055565477368731_dp, 0.0055273884938032_dp, &
+         & 0.0055053884999410_dp, 0.0054892293064768_dp, 0.0054777299380930_dp, 0.0054698504144142_dp, &
+         & 0.0054646938893939_dp, 0.0054615065850356_dp, 0.0054596748250333_dp, 0.0054587186620836_dp, &
+         & 0.0054582818246160_dp, 0.0054581179584829_dp, 0.0054580733835508_dp, 0.0054580668044082_dp, &
+         & 0.0054580662820740_dp, 0.0054580567096565_dp, 0.0054579918555646_dp, 0.0054577534502727_dp, &
+         & 0.0054571179892520_dp, 0.0054557275009302_dp, 0.0054530653258666_dp, 0.0054484382100100_dp, &
+         & 0.0054409660783676_dp, 0.0054295809076734_dp, 0.0054130361129978_dp, 0.0053899277505138_dp, &
+         & 0.0053587285523662_dp, 0.0053178352962817_dp, 0.0052656292369591_dp, 0.0052005482859840_dp, &
+         & 0.0051211683694703_dp, 0.0050262900224425_dp, 0.0049150249565173_dp, 0.0047868762739682_dp, &
+         & 0.0046418054174495_dp, 0.0044802790480532_dp, 0.0043032899610154_dp, 0.0041123479014828_dp, &
+         & 0.0039094386080052_dp, 0.0036969523404764_dp, 0.0034775861866194_dp, 0.0032542271833336_dp, &
+         & 0.0030298253341812_dp, 0.0028072666135017_dp, 0.0025892558112446_dp, 0.0023782175885145_dp, &
+         & 0.0021762216446177_dp, 0.0019849349432093_dp, 0.0018056010978569_dp, 0.0016390447360521_dp, &
+         & 0.0014856970957027_dp, 0.0013456381344667_dp, 0.0012186498522055_dp, 0.0011042753036747_dp, &
+         & 0.0010018780573375_dp, 0.0009106977754811_dp, 0.0008298990244100_dp, 0.0007586119753000_dp, &
+         & 0.0006959648746658_dp, 0.0006411088397726_dp, 0.0005932357721434_dp, 0.0005515902436883_dp, &
+         & 0.0005154762777693_dp, 0.0004842600325645_dp, 0.0004573694139367_dp, 0.0004342915473075_dp, &
+         & 0.0004145688596537_dp, 0.0003977943370472_dp, 0.0003836063827265_dp, 0.0003716836090746_dp, &
+         & 0.0003617398290459_dp, 0.0003535194485522_dp, 0.0003467933959058_dp, 0.0003413556621297_dp, &
+         & 0.0003370204744044_dp, 0.0003336200827277_dp, 0.0003310031100341_dp, 0.0003290333919637_dp, &
+         & 0.0003275892133985_dp, 0.0003265628344309_dp, 0.0003258601907561_dp, 0.0003254006502686_dp, &
+         & 0.0003251167158140_dp, 0.0003249535761540_dp, 0.0003248684299422_dp, 0.0003248295321896_dp, &
+         & 0.0003248149413082_dp, 0.0003248109723444_dp, 0.0003248103865445_dp, 0.0003248103395919_dp, &
+         & 0.0003248094740655_dp, 0.0003248036101127_dp, 0.0003247820543777_dp, 0.0003247246007447_dp, &
+         & 0.0003245988958724_dp, 0.0003243582745540_dp, 0.0003239402029749_dp, 0.0003232654828906_dp, &
+         & 0.0003222383867012_dp, 0.0003207479003464_dp, 0.0003186702413274_dp, 0.0003158727837018_dp, &
+         & 0.0003122194497536_dp, 0.0003075775150450_dp, 0.0003018256220741_dp, 0.0002948626160588_dp, &
+         & 0.0002866166266813_dp, 0.0002770536511321_dp, 0.0002661847817222_dp, 0.0002540711932966_dp, &
+         & 0.0002408260829299_dp, 0.0002266129372259_dp, 0.0002116397913028_dp, 0.0001961495334228_dp, &
+         & 0.0001804068107560_dp, 0.0001646827058437_dp, 0.0001492390113924_dp, 0.0001343143891859_dp, &
+         & 1.2011454569460500e-04_dp, 1.0680748856373200e-04_dp, 9.4523117397216097e-05_dp, 8.3354566243087902e-05_dp, &
+         & 7.3358022817160404e-05_dp, 6.4549439372285606e-05_dp, 5.6900359169276298e-05_dp, 5.0338172982833398e-05_dp, &
+         & 4.4755592014666898e-05_dp, 4.0029677180086798e-05_dp, 3.6043968307808400e-05_dp, 3.2703120396604397e-05_dp, &
+         & 2.9933957733874201e-05_dp, 2.7675699911355901e-05_dp, 2.5866347542091700e-05_dp, 2.4433074941043701e-05_dp, &
+         & 2.3292978326594500e-05_dp, 2.2362810497611500e-05_dp, 2.1569906024865301e-05_dp, 2.0859060597899801e-05_dp, &
+         & 2.0194657778915798e-05_dp, 1.9558960033805299e-05_dp, 1.8948204100866002e-05_dp, 1.8367598727309100e-05_dp, &
+         & 1.7825677346650099e-05_dp, 1.7329679195654501e-05_dp, 1.6883869832895501e-05_dp, 1.6490224226117799e-05_dp, &
+         & 1.6149239797869100e-05_dp, 1.5859898041981099e-05_dp, 1.5619445093761900e-05_dp, 1.5423662048874599e-05_dp, &
+         & 1.5267501197513401e-05_dp, 1.5145664264082401e-05_dp, 1.5052939488668901e-05_dp, 1.4984361200731699e-05_dp, &
+         & 1.4935304122332100e-05_dp, 1.4901564028946300e-05_dp, 1.4879427865821501e-05_dp, 1.4865723059642700e-05_dp, &
+         & 1.4857839133242100e-05_dp, 1.4853721566510100e-05_dp, 1.4851839893026400e-05_dp, 1.4851133954607600e-05_dp, &
+         & 1.4850941923327799e-05_dp, 1.4850913572672700e-05_dp, 1.4850911298935900e-05_dp, 1.4850869376914500e-05_dp, &
+         & 1.4850585344561301e-05_dp, 1.4849541173589400e-05_dp, 1.4846757480313499e-05_dp, 1.4840663979498499e-05_dp, &
+         & 1.4828988469162100e-05_dp, 1.4808666833232600e-05_dp, 1.4775773991004800e-05_dp, 1.4725475068644300e-05_dp, &
+         & 1.4651996437464699e-05_dp, 1.4548622104371100e-05_dp, 1.4407737253918599e-05_dp, 1.4220964985156601e-05_dp, &
+         & 1.3979457335722099e-05_dp, 1.3674361369453400e-05_dp, 1.3297366081133099e-05_dp, 1.2841149853670699e-05_dp, &
+         & 1.2299742039090200e-05_dp, 1.1669295759020300e-05_dp, 1.0949776296342900e-05_dp, 1.0146782230435699e-05_dp, &
+         & 9.2717173174605705e-06_dp, 8.3412266889126807e-06_dp, 7.3805431810569602e-06_dp, 6.4287585530564701e-06_dp, &
+         & 5.5295280816380901e-06_dp, 4.7059369450153099e-06_dp, 3.9693160118758897e-06_dp, 3.3646388146735300e-06_dp, &
+         & 2.9026756465100300e-06_dp, 2.4515177159401000e-06_dp, 1.9727874587260902e-06_dp, 1.7093443744897700e-06_dp, &
+         & 1.4178023803879099e-06_dp, 1.2012738750399899e-06_dp, 2.6410618829686402e-06_dp, 4.0134819556669796e-06_dp, &
+         & 4.8547414479571697e-06_dp, 5.0398755320202301e-06_dp, 4.6239115647495097e-06_dp, 3.8148597383269598e-06_dp, &
+         & 2.9369388698796700e-06_dp, 2.2150551046706798e-06_dp, 1.5872672349814799e-06_dp, 1.6512231724163899e-06_dp, &
+         & 2.0569916046042602e-06_dp, 2.3904431998289502e-06_dp, 2.4655063839418298e-06_dp, 2.2874084919521899e-06_dp, &
+         & 1.9578577195034099e-06_dp, 1.6045773634232300e-06_dp, 1.3034761110475299e-06_dp, 1.0477589711399600e-06_dp, &
+         & 8.2465263062658799e-07_dp, 6.4974659608196795e-07_dp, 5.2777180314933503e-07_dp, 4.4088025674682301e-07_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         &  0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, -1.4210854715202001e-14_dp, 0.0000000000000000e+00_dp, &
+         & -1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 0.0000000000000000e+00_dp, 1.4210854715202001e-14_dp, &
+         & 0.0000000000000000_dp &
+         &]
+      case (111)
+         out = [&
+         & 111.0000000000000000_dp, 110.9999998552719944_dp, 110.9999953799940045_dp, 110.9999650592770024_dp, &
+         & 110.9998535962999995_dp, 110.9995564707000000_dp, 110.9989061869890037_dp, 110.9976606948050062_dp, &
+         & 110.9954943946409998_dp, 110.9919920610589941_dp, 110.9866459235989993_dp, 110.9788560480549933_dp, &
+         & 110.9679340628949973_dp, 110.9531101830310007_dp, 110.9335434017969959_dp, 110.9083346561949952_dp, &
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+         & 0.0049661055420813_dp, 0.0048264780352412_dp, 0.0047068600579507_dp, 0.0046052092202160_dp, &
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+         & 0.0001388526741835_dp, 0.0001284775789969_dp, 0.0001176063775574_dp, 0.0001075737934855_dp, &
+         & 9.7495265279690102e-05_dp, 8.7211823597499501e-05_dp, 7.6828487308944204e-05_dp, 6.8069795190695004e-05_dp, &
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+         & 3.3180173971914000e-05_dp, 2.8058361991156700e-05_dp, 2.5516199329445000e-05_dp, 2.3133591270152499e-05_dp, &
+         & 2.0577967944745999e-05_dp, 1.7742608065418601e-05_dp, 1.4727349096688201e-05_dp, 1.1761268382315400e-05_dp, &
+         & 9.1054163817716505e-06_dp, 7.0769143007964902e-06_dp, 5.5166494519198699e-06_dp, 4.3022340889820001e-06_dp, &
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+         & 2.7120274381786700e-06_dp, 2.1093294293450501e-06_dp, 1.5968845872294000e-06_dp, 1.3354771652984701e-06_dp, &
+         & 1.1997586568668301e-06_dp, 1.0525360494284499e-06_dp, 8.9114664092448905e-07_dp, 7.5152527756472399e-07_dp, &
+         & 6.5464166709716696e-07_dp, 5.9787139150557799e-07_dp, 5.5910103924361497e-07_dp, 5.1679342050192602e-07_dp, &
+         & 4.6167440359568001e-07_dp, 3.9469591683882802e-07_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, &
+         & -1.4210854715202001e-14_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, &
+         & 1.4210854715202001e-14_dp, 0.0000000000000000e+00_dp, 1.4210854715202001e-14_dp, 0.0000000000000000e+00_dp, &
+         & 0.0000000000000000_dp &
+         &]
+      case (112)
+         out = [&
+         & 112.0000000000000000_dp, 111.9999998534690064_dp, 111.9999953224280063_dp, 111.9999646239089941_dp, &
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+         & 89.1132311007481945_dp, 89.0647793119578068_dp, 89.0271875288502059_dp, 88.9987168290788020_dp, &
+         & 88.9777449255298052_dp, 88.9627896081970988_dp, 88.9525270401797030_dp, 88.9458043876876019_dp, &
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+         & 88.9371412239996033_dp, 88.9370405592356974_dp, 88.9366705047966946_dp, 88.9356840746173987_dp, &
+         & 88.9335252916773982_dp, 88.9293909463827958_dp, 88.9222012297994979_dp, 88.9105805874796999_dp, &
+         & 88.8928499271624020_dp, 88.8670310664873000_dp, 88.8308640176341981_dp, 88.7818373667621046_dp, &
+         & 88.7172316113926058_dp, 88.6341748670663065_dp, 88.5297098511685050_dp, 88.4008705112183009_dp, &
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+         & 85.7613008804121932_dp, 85.2840513651640038_dp, 84.7722862828729973_dp, 84.2284550491338990_dp, &
+         & 83.6555548978930972_dp, 83.0570686635187059_dp, 82.4368907599777998_dp, 81.7992442938442963_dp, &
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+         & 76.0191972246641967_dp, 75.4488024778574982_dp, 74.9049663886530936_dp, 74.3898560619420977_dp, &
+         & 73.9052062583352978_dp, 73.4523200683273956_dp, 73.0320756922208005_dp, 72.6449387289415967_dp, &
+         & 72.2909794598157021_dp, 71.9698946548979990_dp, 71.6810334478879980_dp, 71.4234268348623971_dp, &
+         & 71.1958203575317015_dp, 70.9967095320647985_dp, 70.8243775748790938_dp, 70.6769349523442969_dp, &
+         & 70.5523602395821001_dp, 70.4485417153844935_dp, 70.3633190501089985_dp, 70.2945243685798999_dp, &
+         & 70.2400218998706976_dp, 70.1977453706136032_dp, 70.1657322682106042_dp, 70.1421541037204008_dp, &
+         & 70.1253418476694037_dp, 70.1138057989551982_dp, 70.1062492771926031_dp, 70.1015756984865988_dp, &
+         & 70.0988887964706038_dp, 70.0974859745443979_dp, 70.0968450097547020_dp, 70.0966045611080943_dp, &
+         & 70.0965391531871944_dp, 70.0965294991129042_dp, 70.0965287247367996_dp, 70.0965144335687995_dp, &
+         & 70.0964176088035060_dp, 70.0960616707290001_dp, 70.0951128705454067_dp, 70.0930364447539063_dp, &
+         & 70.0890598417368977_dp, 70.0821444981608010_dp, 70.0709674709891033_dp, 70.0539140310253003_dp, &
+         & 70.0290820902350930_dp, 69.9942990596120040_dp, 69.9471514086762056_dp, 69.8850268154813961_dp, &
+         & 69.8051683555197968_dp, 69.7047396846682972_dp, 69.5808996400422046_dp, 69.4308841384292066_dp, &
+         & 69.2520927298487976_dp, 69.0421767064806033_dp, 68.7991253210829967_dp, 68.5213464785537951_dp, &
+         & 68.2077382658083025_dp, 67.8577479013170972_dp, 67.4714151217198008_dp, 67.0493976657717070_dp, &
+         & 66.5929773354721988_dp, 66.1040460663874967_dp, 65.5850724678028030_dp, 65.0390503309148045_dp, &
+         & 64.4694315709027990_dp, 63.8800468785259028_dp, 63.2750179207668992_dp, 62.6586651760564024_dp, &
+         & 62.0354153829473987_dp, 61.4097121414367990_dp, 60.7859325122415015_dp, 60.1683116353321026_dp, &
+         & 59.5608765742097006_dp, 58.9673899047061028_dp, 58.3913030736736971_dp, 57.8357192592284974_dp, &
+         & 57.3033653245485013_dp, 56.7965724013362987_dp, 56.3172646022655030_dp, 55.8669553064536970_dp, &
+         & 55.4467503836638969_dp, 55.0573576411592995_dp, 54.6991017195500007_dp, 54.3719436510964016_dp, &
+         & 54.0755043311893004_dp, 53.8090912315204974_dp, 53.5717277827025029_dp, 53.3621849532984029_dp, &
+         & 53.1790146330933027_dp, 53.0205844788527969_dp, 52.8851138954391971_dp, 52.7707108045805029_dp, &
+         & 52.6754088029793976_dp, 52.5972042391619965_dp, 52.5340926549026008_dp, 52.4841039536935980_dp, &
+         & 52.4453355872350997_dp, 52.4159830022638005_dp, 52.3943665736524977_dp, 52.3789542725902990_dp, &
+         & 52.3683793846916998_dp, 52.3614527024027012_dp, 52.3571687656598002_dp, 52.3547059075421970_dp, &
+         & 52.3534200678805988_dp, 52.3528325558016974_dp, 52.3526121595247034_dp, 52.3525522063733035_dp, &
+         & 52.3525433574130972_dp, 52.3525426748960996_dp, 52.3525304190824983_dp, 52.3524473841511977_dp, &
+         & 52.3521421390960029_dp, 52.3513284688959004_dp, 52.3495477768722992_dp, 52.3461375589616011_dp, &
+         & 52.3402072250672035_dp, 52.3306223998727020_dp, 52.3159986690330996_dp, 52.2947055406991979_dp, &
+         & 52.2648811589291995_dp, 52.2244580264187022_dp, 52.1711996626198982_dp, 52.1027477374287002_dp, &
+         & 52.0166787843902014_dp, 51.9105691234260007_dp, 51.7820661334723980_dp, 51.6289635415042980_dp, &
+         & 51.4492779753230991_dp, 51.2413237069353968_dp, 51.0037823352616968_dp, 50.7357641599589968_dp, &
+         & 50.4368582098208975_dp, 50.1071683200986016_dp, 49.7473332916353002_dp, 49.3585299736753029_dp, &
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+         & 0.8464476096631590_dp, 0.8359287938807110_dp, 0.8261660557303400_dp, 0.8171582205542900_dp, &
+         & 0.8088970816312580_dp, 0.8013681999123460_dp, 0.7945516458598830_dp, 0.7884226840539980_dp, &
+         & 0.7829524065676881_dp, 0.7781083244364030_dp, 0.7738549281331190_dp, 0.7701542281012340_dp, &
+         & 0.7669662853691220_dp, 0.7642497403275710_dp, 0.7619623451134320_dp, 0.7600615019138960_dp, &
+         & 0.7585048060844310_dp, 0.7572505894558220_dp, 0.7562584558120160_dp, 0.7554897974683290_dp, &
+         & 0.7549082794030820_dp, 0.7544802757095400_dp, 0.7541752424200180_dp, 0.7539660111383309_dp, &
+         & 0.7538289894425390_dp, 0.7537442566429180_dp, 0.7536955470536379_dp, 0.7536701172317630_dp, &
+         & 0.7536584983583620_dp, 0.7536541397537631_dp, 0.7536529541110470_dp, 0.7536527791127841_dp, &
+         & 0.7536527656697980_dp, 0.7536525249841191_dp, 0.7536508943052380_dp, 0.7536448997859539_dp, &
+         & 0.7536289208195940_dp, 0.7535939523647240_dp, 0.7535269878899270_dp, 0.7534105495574290_dp, &
+         & 0.7532223903546080_dp, 0.7529353905472080_dp, 0.7525176677539630_dp, 0.7519329157134390_dp, &
+         & 0.7511409809904990_dp, 0.7500986790700210_dp, 0.7487608412867101_dp, 0.7470815719028679_dp, &
+         & 0.7450156807978630_dp, 0.7425202425438900_dp, 0.7395562184175190_dp, 0.7360900657920690_dp, &
+         & 0.7320952512001920_dp, 0.7275535808795300_dp, 0.7224562671261620_dp, 0.7168046608565390_dp, &
+         & 0.7106106000201750_dp, 0.7038963484505840_dp, 0.6966941279773951_dp, 0.6890452750872240_dp, &
+         & 0.6809990788788129_dp, 0.6726113766278420_dp, 0.6639429949154730_dp, 0.6550581271066140_dp, &
+         & 0.6460227323687350_dp, 0.6369030289004340_dp, 0.6277641368554470_dp, 0.6186689071945750_dp, &
+         & 0.6096769538355320_dp, 0.6008438899792740_dp, 0.5922207566553080_dp, 0.5838536228936420_dp, &
+         & 0.5757833323860240_dp, 0.5680453704561470_dp, 0.5606698267548890_dp, 0.5536814323967150_dp, &
+         & 0.5470996543905360_dp, 0.5409388345004370_dp, 0.5352083636065430_dp, 0.5299128859366390_dp, &
+         & 0.5250525300834850_dp, 0.5206231655078570_dp, 0.5166166843285540_dp, 0.5130213087145850_dp, &
+         & 0.5098219242358080_dp, 0.5070004391855750_dp, 0.5045361692377240_dp, 0.5024062459005880_dp, &
+         & 0.5005860461269120_dp, 0.4990496391792330_dp, 0.4977702454876440_dp, 0.4967207008360360_dp, &
+         & 0.4958739178574800_dp, 0.4952033356040740_dp, 0.4946833469891630_dp, 0.4942896932839600_dp, &
+         & 0.4939998146904830_dp, 0.4937931463780100_dp, 0.4936513503115380_dp, 0.4935584747171480_dp, &
+         & 0.4935010350817630_dp, 0.4934680130808860_dp, 0.4934507726452320_dp, 0.4934428953534250_dp, &
+         & 0.4934399403102250_dp, 0.4934391364669040_dp, 0.4934390178213310_dp, 0.4934390086376650_dp, &
+         & 0.4934388433063930_dp, 0.4934377231629700_dp, 0.4934336054018470_dp, 0.4934226289973220_dp, &
+         & 0.4933986075807870_dp, 0.4933526043699460_dp, 0.4932726065126190_dp, 0.4931433143716080_dp, &
+         & 0.4929460591178980_dp, 0.4926588594152290_dp, 0.4922566248248190_dp, 0.4917115096834270_dp, &
+         & 0.4909934164854230_dp, 0.4900706421772160_dp, 0.4889106543134430_dp, 0.4874809769521850_dp, &
+         & 0.4857501588782040_dp, 0.4836887898261890_dp, 0.4812705245410170_dp, 0.4784730705399770_dp, &
+         & 0.4752790940510750_dp, 0.4716770003191750_dp, 0.4676615495123140_dp, 0.4632342776245930_dp, &
+         & 0.4584037024408620_dp, 0.4531853068080100_dp, 0.4476013039341210_dp, 0.4416802009608600_dp, &
+         & 0.4354561865544750_dp, 0.4289683750071590_dp, 0.4222599430452620_dp, 0.4153771963494250_dp, &
+         & 0.4083686012020710_dp, 0.4012838133819800_dp, 0.3941727321580400_dp, 0.3870846026202770_dp, &
+         & 0.3800671850733150_dp, 0.3731660060336420_dp, 0.3664237015843950_dp, 0.3598794603931590_dp, &
+         & 0.3535685705107880_dp, 0.3475220710770940_dp, 0.3417665072641540_dp, 0.3363237842467580_dp, &
+         & 0.3312111138057930_dp, 0.3264410454569600_dp, 0.3220215728414930_dp, 0.3179563055619640_dp, &
+         & 0.3142446966697180_dp, 0.3108823165331240_dp, 0.3078611647036950_dp, 0.3051700124860160_dp, &
+         & 0.3027947700422970_dp, 0.3007188728552280_dp, 0.2989236831129030_dp, 0.2973889019758790_dp, &
+         & 0.2960929887038760_dp, 0.2950135822745780_dp, 0.2941279204798240_dp, 0.2934132506388210_dp, &
+         & 0.2928472251537780_dp, 0.2924082742928530_dp, 0.2920759479628710_dp, 0.2918312179552490_dp, &
+         & 0.2916567323107270_dp, 0.2915370141086560_dp, 0.2914585981589400_dp, 0.2914101007204270_dp, &
+         & 0.2913822194150270_dp, 0.2913676628336500_dp, 0.2913610118051790_dp, 0.2913585167737550_dp, &
+         & 0.2913578380646410_dp, 0.2913577378885750_dp, 0.2913577300716810_dp, 0.2913575885336430_dp, &
+         & 0.2913566295928550_dp, 0.2913531044280550_dp, 0.2913437076557410_dp, 0.2913231431651300_dp, &
+         & 0.2912837601488430_dp, 0.2912152741415350_dp, 0.2911045862772000_dp, 0.2909357121103400_dp, &
+         & 0.2906898291349900_dp, 0.2903454494835960_dp, 0.2898787210900480_dp, 0.2892638567779500_dp, &
+         & 0.2884736862552440_dp, 0.2874803209133030_dp, 0.2862559157845370_dp, 0.2847735072725750_dp, &
+         & 0.2830078996912560_dp, 0.2809365686842260_dp, 0.2785405457349550_dp, 0.2758052456973130_dp, &
+         & 0.2727211989851530_dp, 0.2692846520223070_dp, 0.2654980038608130_dp, 0.2613700533952820_dp, &
+         & 0.2569160400083630_dp, 0.2521574702626170_dp, 0.2471217337775760_dp, 0.2418415219923280_dp, &
+         & 0.2363540734118600_dp, 0.2307002775062020_dp, 0.2249236761084600_dp, 0.2190694054944370_dp, &
+         & 0.2131831240343160_dp, 0.2073099692833720_dp, 0.2014935847269190_dp, 0.1957752504315950_dp, &
+         & 0.1901931440930160_dp, 0.1847817500758140_dp, 0.1795714247611930_dp, 0.1745881176016440_dp, &
+         & 0.1698532393949250_dp, 0.1653836629457570_dp, 0.1611918368019900_dp, 0.1572859902353090_dp, &
+         & 0.1536704069962410_dp, 0.1503457463529260_dp, 0.1473093921708820_dp, 0.1445558138962750_dp, &
+         & 0.1420769268650730_dp, 0.1398624430076300_dp, 0.1379002064431920_dp, 0.1361765114297950_dp, &
+         & 0.1346764024904990_dp, 0.1333839581882760_dp, 0.1322825609496760_dp, 0.1313551555675050_dp, &
+         & 0.1305844986323020_dp, 0.1299534002568520_dp, 0.1294449582224640_dp, 0.1290427832415590_dp, &
+         & 0.1287312125764690_dp, 0.1284955079408690_dp, 0.1283220325887560_dp, 0.1281984018857680_dp, &
+         & 0.1281136015399510_dp, 0.1280580680745800_dp, 0.1280237270401590_dp, 0.1280039858157100_dp, &
+         & 0.1279936795411200_dp, 0.1279889706158740_dp, 0.1279872041510970_dp, 0.1279867236313240_dp, &
+         & 0.1279866527076620_dp, 0.1279866471262780_dp, 0.1279865454627610_dp, 0.1279858566783640_dp, &
+         & 0.1279833246481270_dp, 0.1279765752928770_dp, 0.1279618050410390_dp, 0.1279335203379620_dp, &
+         & 0.1278843395623570_dp, 0.1278048679718320_dp, 0.1276836553981720_dp, 0.1275072452122430_dp, &
+         & 0.1272603214016210_dp, 0.1269259582727500_dp, 0.1264859741469590_dp, 0.1259213863698390_dp, &
+         & 0.1252129600136270_dp, 0.1243418369541870_dp, 0.1232902258468580_dp, 0.1220421273447980_dp, &
+         & 0.1205840632701300_dp, 0.1189057740100590_dp, 0.1170008458332600_dp, 0.1148672296945820_dp, &
+         & 0.1125076158498930_dp, 0.1099296344205950_dp, 0.1071458607904250_dp, 0.1041736159130410_dp, &
+         & 0.1010345644366450_dp, 0.0977541269322586_dp, 0.0943607351985349_dp, 0.0908849703507286_dp, &
+         & 0.0873586310818126_dp, 0.0838137833085142_dp, 0.0802818420077784_dp, 0.0767927315197454_dp, &
+         & 0.0733741625286939_dp, 0.0700510533035299_dp, 0.0668451108142989_dp, 0.0637745753157759_dp, &
+         & 0.0608541210688855_dp, 0.0580948969453061_dp, 0.0555046842785458_dp, 0.0530881456674024_dp, &
+         & 0.0508471373820498_dp, 0.0487810591895936_dp, 0.0468872182830040_dp, 0.0451611879665279_dp, &
+         & 0.0435971462473077_dp, 0.0421881840181015_dp, 0.0409265767222848_dp, 0.0398040170382785_dp, &
+         & 0.0388118090886422_dp, 0.0379410269316907_dp, 0.0371826416525494_dp, 0.0365276222992605_dp, &
+         & 0.0359670162796135_dp, 0.0354920147401288_dp, 0.0350940079787563_dp, 0.0347646351791013_dp, &
+         & 0.0344958317805037_dp, 0.0342798766889985_dp, 0.0341094403672741_dp, 0.0339776336952866_dp, &
+         & 0.0338780564455163_dp, 0.0338048433444271_dp, 0.0337527050552495_dp, 0.0337169610710220_dp, &
+         & 0.0336935614695193_dp, 0.0336790947554135_dp, 0.0336707795662790_dp, 0.0336664387914567_dp, &
+         & 0.0336644555705021_dp, 0.0336637116144374_dp, 0.0336635092421034_dp, 0.0336634793724215_dp, &
+         & 0.0336634770009994_dp, 0.0336634335417472_dp, 0.0336631390998008_dp, 0.0336620567151300_dp, &
+         & 0.0336591715900596_dp, 0.0336528581487698_dp, 0.0336407693923491_dp, 0.0336197539488410_dp, &
+         & 0.0335858062097003_dp, 0.0335340548813576_dp, 0.0334587950350453_dp, 0.0333535681458841_dp, &
+         & 0.0332112935038538_dp, 0.0330244525955266_dp, 0.0327853255017061_dp, 0.0324862750188970_dp, &
+         & 0.0321200702157967_dp, 0.0316802367401721_dp, 0.0311614168202823_dp, 0.0305597180938548_dp, &
+         & 0.0298730277654613_dp, 0.0291012677339921_dp, 0.0282465677247785_dp, 0.0273133373547410_dp, &
+         & 0.0263082243828165_dp, 0.0252399547136690_dp, 0.0241190592415421_dp, 0.0229575022886905_dp, &
+         & 0.0217682350403123_dp, 0.0205647039050092_dp, 0.0193603472888384_dp, 0.0181681144054266_dp, &
+         & 0.0170000364720124_dp, 0.0158668744612100_dp, 0.0147778593970713_dp, 0.0137405321631547_dp, &
+         & 0.0127606811175838_dp, 0.0118423684658211_dp, 0.0109880309354793_dp, 0.0101986370519001_dp, &
+         & 0.0094738821530171_dp, 0.0088124029696814_dp, 0.0082119957750990_dp, 0.0076698252960910_dp, &
+         & 0.0071826151985448_dp, 0.0067468144423799_dp, 0.0063587367478419_dp, 0.0060146726963097_dp, &
+         & 0.0057109756641864_dp, 0.0054441239908130_dp, 0.0052107625740660_dp, 0.0050077274894989_dp, &
+         & 0.0048320572650198_dp, 0.0046809941936630_dp, 0.0045519786628461_dp, 0.0044426390272747_dp, &
+         & 0.0043507791264688_dp, 0.0042743651516162_dp, 0.0042115131925016_dp, 0.0041604784309186_dp, &
+         & 0.0041196465906523_dp, 0.0040875279155728_dp, 0.0040627536374842_dp, 0.0040440746226551_dp, &
+         & 0.0040303616615773_dp, 0.0040206066982620_dp, 0.0040139241932877_dp, 0.0040095517844776_dp, &
+         & 0.0040068494527361_dp, 0.0040052965133839_dp, 0.0040044859226498_dp, 0.0040041155989741_dp, &
+         & 0.0040039766845723_dp, 0.0040039388971138_dp, 0.0040039333198081_dp, 0.0040039328729478_dp, &
+         & 0.0040039246328121_dp, 0.0040038688049293_dp, 0.0040036635811873_dp, 0.0040031165715533_dp, &
+         & 0.0040019196652139_dp, 0.0039996282540500_dp, 0.0039956459971791_dp, 0.0039892163898685_dp, &
+         & 0.0039794224772010_dp, 0.0039651960748159_dp, 0.0039453377676182_dp, 0.0039185486858315_dp, &
+         & 0.0038834745526231_dp, 0.0038387617163949_dp, 0.0037831238269916_dp, 0.0037154165417661_dp, &
+         & 0.0036347162663759_dp, 0.0035403976288393_dp, 0.0034322033739187_dp, 0.0033102998904866_dp, &
+         & 0.0031753118505549_dp, 0.0030283305732723_dp, 0.0028708927220862_dp, 0.0027049286505303_dp, &
+         & 0.0025326828321255_dp, 0.0023566119302529_dp, 0.0021792687022781_dp, 0.0020031816162316_dp, &
+         & 0.0018307404170486_dp, 0.0016640967985637_dp, 0.0015050870502193_dp, 0.0013551806316059_dp, &
+         & 0.0012154557684880_dp, 0.0010866008308028_dp, 0.0009689384435347_dp, 0.0008624676904105_dp, &
+         & 0.0007669183071073_dp, 0.0006818098826642_dp, 0.0006065095499395_dp, 0.0005402837176263_dp, &
+         & 0.0004823422942764_dp, 0.0004318759931010_dp, 0.0003880875607223_dp, 0.0003502166249092_dp, &
+         & 0.0003175569481328_dp, 0.0002894653823802_dp, 0.0002653635698522_dp, 0.0002447351510284_dp, &
+         & 0.0002271215719958_dp, 0.0002121182957495_dp, 0.0001993714822532_dp, 0.0001885742983632_dp, &
+         & 0.0001794622286724_dp, 0.0001718074942545_dp, 0.0001654132514801_dp, 0.0001601083093874_dp, &
+         & 0.0001557427822263_dp, 0.0001521847002550_dp, 0.0001493173759570_dp, 0.0001470373020140_dp, &
+         & 0.0001452524402055_dp, 0.0001438808462098_dp, 0.0001428496128284_dp, 0.0001420941077441_dp, &
+         & 0.0001415574577663_dp, 0.0001411902081685_dp, 0.0001409500776930_dp, 0.0001408017311917_dp, &
+         & 0.0001407165035090_dp, 0.0001406720234769_dp, 0.0001406517039015_dp, 0.0001406440819522_dp, &
+         & 0.0001406420086454_dp, 0.0001406417026146_dp, 0.0001406416778735_dp, 0.0001406412188345_dp, &
+         & 0.0001406381086895_dp, 0.0001406266760569_dp, 0.0001405962048437_dp, 0.0001405295397916_dp, &
+         & 0.0001404019465525_dp, 0.0001401803055359_dp, 0.0001398227306737_dp, 0.0001392787146557_dp, &
+         & 0.0001384899089913_dp, 0.0001373916390577_dp, 0.0001359152310556_dp, 0.0001339911789415_dp, &
+         & 0.0001315531099664_dp, 0.0001285424150552_dp, 0.0001249133067773_dp, 0.0001206379527332_dp, &
+         & 1.1571120315068100e-04_dp, 1.1015428648875101e-04_dp, 1.0401670679982500e-04_dp, 9.7375556208589801e-05_dp, &
+         & 9.0331761967377106e-05_dp, 8.3003570679807099e-05_dp, 7.5518605129332200e-05_dp, 6.8006485150817793e-05_dp, &
+         & 6.0593815291554199e-05_dp, 5.3402180043349297e-05_dp, 4.6546873392117002e-05_dp, 4.0129558016133201e-05_dp, &
+         & 3.4218946254327400e-05_dp, 2.8828590089347000e-05_dp, 2.3914078255415899e-05_dp, 1.9393135517020700e-05_dp, &
+         & 1.5174061786638000e-05_dp, 1.1227575782868400e-05_dp, 7.8192050949610297e-06_dp, 5.8967265630371904e-06_dp, &
+         & 5.6159031487368296e-06_dp, 5.2503260832281697e-06_dp, 4.2019412660465596e-06_dp, 2.7455077571403299e-06_dp, &
+         & 1.3477228293368200e-06_dp, 6.0869777485095298e-07_dp, 4.4245685160149198e-07_dp, 6.6545896970637799e-07_dp, &
+         & 1.1228727174739100e-06_dp, 1.4732808324424700e-06_dp, 1.6517828242967899e-06_dp, 1.6072080910589599e-06_dp, &
+         & 1.3582967994807400e-06_dp, 1.0160313479445900e-06_dp, 8.0675052060996698e-07_dp, 8.2761802389086401e-07_dp, &
+         & 8.5498719215593198e-07_dp, 8.1063660672953098e-07_dp, 7.1990186256698497e-07_dp, 6.1727126876576200e-07_dp, &
+         &  5.2520054794058503e-07_dp, 4.5235452716951798e-07_dp, 3.9597981071892702e-07_dp, -5.6843418860808002e-14_dp, &
+         & -5.6843418860808002e-14_dp, -7.1054273576010006e-14_dp, -7.1054273576010006e-14_dp, -7.1054273576010006e-14_dp, &
+         & -7.1054273576010006e-14_dp, -5.6843418860808002e-14_dp, -7.1054273576010006e-14_dp, -7.1054273576010006e-14_dp, &
+         & -5.6843418860808002e-14_dp, -7.1054273576010006e-14_dp, -7.1054273576010006e-14_dp, -5.6843418860808002e-14_dp, &
+         & -7.1054273576010006e-14_dp &
+         &]
+      case (113)
+         out = [&
+         & 113.0000000000000000_dp, 112.9999998516729960_dp, 112.9999952650949950_dp, 112.9999641903019949_dp, &
+         & 112.9998499552429934_dp, 112.9995454401140051_dp, 112.9988789837239977_dp, 112.9976025155639974_dp, &
+         & 112.9953823374140001_dp, 112.9917928945079950_dp, 112.9863137822119938_dp, 112.9783301341509940_dp, &
+         & 112.9671364375190024_dp, 112.9519437267250055_dp, 112.9318900236179957_dp, 112.9060538258750057_dp, &
+         & 112.8734703970799984_dp, 112.8331505811210036_dp, 112.7841018438389966_dp, 112.7253512258869961_dp, &
+         & 112.6559698587939948_dp, 112.5750986372009947_dp, 112.4819745437660004_dp, 112.3759569873139981_dp, &
+         & 112.2565533494449994_dp, 112.1234427635649951_dp, 111.9764970081660067_dp, 111.8157973236090044_dp, &
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+         & 0.0862506730467629_dp, 0.0856066016227572_dp, 0.0850645701059420_dp, 0.0846143505769703_dp, &
+         & 0.0842457927772244_dp, 0.0839489499059312_dp, 0.0837142012067176_dp, 0.0835323694963819_dp, &
+         & 0.0833948310235684_dp, 0.0832936144632299_dp, 0.0832214855121833_dp, 0.0831720134992651_dp, &
+         & 0.0831396166765046_dp, 0.0831195834053489_dp, 0.0831080672613922_dp, 0.0831020550858312_dp, &
+         & 0.0830993081392251_dp, 0.0830982776754041_dp, 0.0830979973652717_dp, 0.0830979559921303_dp, &
+         & 0.0830979527074192_dp, 0.0830978925109918_dp, 0.0830974846718817_dp, 0.0830959854219486_dp, &
+         & 0.0830919890466078_dp, 0.0830832434550643_dp, 0.0830664960502219_dp, 0.0830373767073809_dp, &
+         & 0.0829903242815817_dp, 0.0829185625758839_dp, 0.0828141310229569_dp, 0.0826679743419163_dp, &
+         & 0.0824700940008114_dp, 0.0822097623337044_dp, 0.0818757975618354_dp, 0.0814568947615300_dp, &
+         & 0.0809420041089481_dp, 0.0803207437384543_dp, 0.0795838306046619_dp, 0.0787235092718532_dp, &
+         & 0.0777339560358143_dp, 0.0766116346861736_dp, 0.0753555809050255_dp, 0.0739675949885736_dp, &
+         & 0.0724523272430275_dp, 0.0708172467744532_dp, 0.0690724919333832_dp, 0.0672306086768231_dp, &
+         & 0.0653061907606087_dp, 0.0633154421833098_dp, 0.0612756870154811_dp, 0.0592048542378336_dp, &
+         & 0.0571209653344908_dp, 0.0550416502820212_dp, 0.0529837136255225_dp, 0.0509627670939494_dp, &
+         & 0.0489929393099544_dp, 0.0470866672073811_dp, 0.0452545683115915_dp, 0.0435053884473007_dp, &
+         & 0.0418460159581997_dp, 0.0402815512384933_dp, 0.0388154192608425_dp, 0.0374495126986290_dp, &
+         & 0.0361843539876361_dp, 0.0350192660167039_dp, 0.0339525428504572_dp, 0.0329816137743251_dp, &
+         & 0.0321031958470428_dp, 0.0313134319310109_dp, 0.0306080127586057_dp, 0.0299822829212673_dp, &
+         & 0.0294313317089347_dp, 0.0289500704759433_dp, 0.0285332986859004_dp, 0.0281757610097202_dp, &
+         & 0.0278721978488647_dp, 0.0276173914607369_dp, 0.0274062095104028_dp, 0.0272336473969972_dp, &
+         & 0.0270948701419513_dp, 0.0269852540251776_dp, 0.0269004275633620_dp, 0.0268363108856704_dp, &
+         & 0.0267891521228876_dp, 0.0267555591213977_dp, 0.0267325246515497_dp, 0.0267174433151922_dp, &
+         & 0.0267081185646703_dp, 0.0267027586101847_dp, 0.0266999604777709_dp, 0.0266986820443407_dp, &
+         & 0.0266982024689639_dp, 0.0266980720136729_dp, 0.0266980527587890_dp, 0.0266980512160870_dp, &
+         & 0.0266980227682438_dp, 0.0266978300305425_dp, 0.0266971215141751_dp, 0.0266952329300238_dp, &
+         & 0.0266911001159116_dp, 0.0266831864556849_dp, 0.0266694282049400_dp, 0.0266472010678882_dp, &
+         & 0.0266133112563409_dp, 0.0265640140418810_dp, 0.0264950623939484_dp, 0.0264017875887106_dp, &
+         & 0.0262792125934652_dp, 0.0261221975253108_dp, 0.0259256145503599_dp, 0.0256845473011111_dp, &
+         & 0.0253945073902884_dp, 0.0250516581244966_dp, 0.0246530333684518_dp, 0.0241967380090955_dp, &
+         & 0.0236821159438847_dp, 0.0231098722156560_dp, 0.0224821379708828_dp, 0.0218024702898418_dp, &
+         & 0.0210757833881132_dp, 0.0203082128023340_dp, 0.0195069194128763_dp, 0.0186798449454528_dp, &
+         & 0.0178354343531595_dp, 0.0169823427452656_dp, 0.0161291450930747_dp, 0.0152840658456768_dp, &
+         & 0.0144547429862456_dp, 0.0136480373287640_dp, 0.0128698935941145_dp, 0.0121252554062323_dp, &
+         & 0.0114180321628510_dp, 0.0107511124148090_dp, 0.0101264160785632_dp, 0.0095449762924034_dp, &
+         & 0.0090070415267718_dp, 0.0085121892596192_dp, 0.0080594430719003_dp, 0.0076473866704419_dp, &
+         & 0.0072742705750670_dp, 0.0069381074676755_dp, 0.0066367537398548_dp, 0.0063679782499406_dp, &
+         & 0.0061295181088070_dp, 0.0059191195373529_dp, 0.0057345670575870_dp, 0.0055737067625472_dp, &
+         & 0.0054344630857770_dp, 0.0053148462492487_dp, 0.0052129536227312_dp, 0.0051269707244330_dp, &
+         & 0.0050551731710442_dp, 0.0049959277705653_dp, 0.0049476923437197_dp, 0.0049090157115046_dp, &
+         & 0.0048785391108055_dp, 0.0048549992109486_dp, 0.0048372322434034_dp, 0.0048241786145411_dp, &
+         & 0.0048148873882496_dp, 0.0048085200157288_dp, 0.0048043526790025_dp, 0.0048017766463033_dp, &
+         & 0.0048002961331548_dp, 0.0047995233023954_dp, 0.0047991702194707_dp, 0.0047990377706384_dp, &
+         & 0.0047990017418584_dp, 0.0047989964240713_dp, 0.0047989959940224_dp, 0.0047989880130643_dp, &
+         & 0.0047989339411316_dp, 0.0047987351709367_dp, 0.0047982053538220_dp, 0.0047970460195614_dp, &
+         & 0.0047948263597277_dp, 0.0047909682422045_dp, 0.0047847375698495_dp, 0.0047752431290604_dp, &
+         & 0.0047614440664319_dp, 0.0047421670376622_dp, 0.0047161338443260_dp, 0.0046819999594305_dp, &
+         & 0.0046384036889435_dp, 0.0045840248085511_dp, 0.0045176504434039_dp, 0.0044382450344784_dp, &
+         & 0.0043450208512894_dp, 0.0042375054752455_dp, 0.0041156015773538_dp, 0.0039796310464908_dp, &
+         & 0.0038303531819821_dp, 0.0036689526352376_dp, 0.0034970054213659_dp, 0.0033164295519299_dp, &
+         & 0.0031294084481033_dp, 0.0029382865533023_dp, 0.0027454734830457_dp, 0.0025533698608484_dp, &
+         & 0.0023642776970689_dp, 0.0021802915896956_dp, 0.0020032139042172_dp, 0.0018344959496091_dp, &
+         & 0.0016751981207506_dp, 0.0015260086249640_dp, 0.0013873023326028_dp, 0.0012591859567408_dp, &
+         & 0.0011415436091511_dp, 0.0010340964482936_dp, 0.0009364052312009_dp, 0.0008478112296046_dp, &
+         & 0.0007678371433002_dp, 0.0006955932250037_dp, 0.0006295732521835_dp, 0.0005699331133542_dp, &
+         & 0.0005160688622112_dp, 0.0004664384112800_dp, 0.0004204327548649_dp, 0.0003776060473086_dp, &
+         & 0.0003376704789559_dp, 0.0003004545029199_dp, 0.0002659260850635_dp, 0.0002344519899395_dp, &
+         & 0.0002052700462087_dp, 0.0001782165692958_dp, 0.0001533218040208_dp, 0.0001306010728825_dp, &
+         & 1.1003982997692700e-04_dp, 9.1591241371702395e-05_dp, 7.5187114788377598e-05_dp, 6.0751410018156100e-05_dp, &
+         & 4.8203084659803601e-05_dp, 3.7452030596796201e-05_dp, 2.8395186646434899e-05_dp, 2.0914876330380102e-05_dp, &
+         & 1.4879158712233200e-05_dp, 1.0143580979615800e-05_dp, 6.5537857665276499e-06_dp, 3.9485891250023997e-06_dp, &
+         &  2.1633097020412602e-06_dp, 1.0332755522313200e-06_dp, 3.9756380942890198e-07_dp, -1.4210854715202001e-14_dp, &
+         & 1.4210854715202001e-14_dp &
+         &]
+      case (114)
+         out = [&
+         & 114.0000000000000000_dp, 113.9999998498660005_dp, 113.9999952074220033_dp, 113.9999637541239963_dp, &
+         & 113.9998481276309974_dp, 113.9995399033639956_dp, 113.9988653291730003_dp, 113.9975733127629951_dp, &
+         & 113.9953260907849995_dp, 113.9916929236830043_dp, 113.9861470650759969_dp, 113.9780661532959982_dp, &
+         & 113.9667360712650037_dp, 113.9513582253560031_dp, 113.9310601101689997_dp, 113.9049089591079991_dp, &
+         & 113.8719282324429969_dp, 113.8311166638179941_dp, 113.7814695666090046_dp, 113.7220020825029962_dp, &
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+         & 113.2474862096919992_dp, 113.1127552698170007_dp, 112.9640235728490012_dp, 112.8013748258809983_dp, &
+         & 112.6251167462149994_dp, 112.4357864142630063_dp, 112.2341485824340026_dp, 112.0211866501419991_dp, &
+         & 111.7980864918539936_dp, 111.5662138018680025_dp, 111.3270860323460028_dp, 111.0823402975100009_dp, &
+         & 110.8336987660260036_dp, 110.5829330610479957_dp, 110.3318290535259933_dp, 110.0821532072200029_dp, &
+         & 109.8356213594990010_dp, 109.5938705443870020_dp, 109.3584342178390045_dp, 109.1307210505549961_dp, &
+         & 108.9119973173820028_dp, 108.7033728299209940_dp, 108.5057903182690069_dp, 108.3200181541480021_dp, &
+         & 108.1466463069960042_dp, 107.9860854256660048_dp, 107.8385689341599942_dp, 107.7041580167129950_dp, &
+         & 107.5827493449399981_dp, 107.4740853689520037_dp, 107.3777669575039937_dp, 107.2932681318080057_dp, &
+         & 107.2199525960040063_dp, 107.1570917265299983_dp, 107.1038836447620071_dp, 107.0594729640850034_dp, &
+         & 107.0229707759069981_dp, 106.9934744208279938_dp, 106.9700865830670011_dp, 106.9519332499759940_dp, &
+         & 106.9381800954309938_dp, 106.9280468769899954_dp, 106.9208194822110016_dp, 106.9158593190010009_dp, &
+         & 106.9126098170320063_dp, 106.9105998899919996_dp, 106.9094442990000005_dp, 106.9088409524150052_dp, &
+         & 106.9085652729099962_dp, 106.9084618551249974_dp, 106.9084337228970014_dp, 106.9084295706360024_dp, &
+         & 106.9084290259470009_dp, 106.9084163353449952_dp, 106.9083303546450026_dp, 106.9080142803550046_dp, &
+         & 106.9071717412529949_dp, 106.9053278595090006_dp, 106.9017965841780011_dp, 106.8956556002920024_dp, &
+         & 106.8857299588379988_dp, 106.8705853894000057_dp, 106.8485320435149930_dp, 106.8176391662679947_dp, &
+         & 106.7757608992949940_dp, 106.7205730747880068_dp, 106.6496204658210019_dp, 106.5603735190019989_dp, &
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+         & 98.4945475550069034_dp, 97.9217761734307004_dp, 97.3560497212863964_dp, 96.8009129307723981_dp, &
+         & 96.2596983564668989_dp, 95.7354827549006018_dp, 95.2310481263323965_dp, 94.7488489174095037_dp, &
+         & 94.2909865154837945_dp, 93.8591916159079034_dp, 93.4548145087483988_dp, 93.0788229224327068_dp, &
+         & 92.7318068119937067_dp, 92.4139893707092028_dp, 92.1252435347771979_dp, 91.8651132967632975_dp, &
+         & 91.6328392081566960_dp, 91.4273875092186046_dp, 91.2474823611241987_dp, 91.0916406656021991_dp, &
+         & 90.9582089412863013_dp, 90.8454016880742046_dp, 90.7513406174610964_dp, 90.6740940658793022_dp, &
+         & 90.6117158479682985_dp, 90.5622827559677006_dp, 90.5239298783008053_dp, 90.4948829022445977_dp, &
+         & 90.4734865883034018_dp, 90.4582286614915034_dp, 90.4477584587456960_dp, 90.4408998009942025_dp, &
+         & 90.4366577191220955_dp, 90.4342188487821943_dp, 90.4329455112544025_dp, 90.4323637065604942_dp, &
+         & 90.4321454505208067_dp, 90.4320860794905030_dp, 90.4320773164473053_dp, 90.4320765428373932_dp, &
+         & 90.4320613843323002_dp, 90.4319586832230016_dp, 90.4315811429739966_dp, 90.4305747584613044_dp, &
+         & 90.4283723063948059_dp, 90.4241543311993041_dp, 90.4168191868359941_dp, 90.4049635088285015_dp, &
+         & 90.3868742744958951_dp, 90.3605333576437033_dp, 90.3236351890631965_dp, 90.2736177880669004_dp, &
+         & 90.2077070268312013_dp, 90.1229735269806014_dp, 90.0164010722086942_dp, 89.8849648666376027_dp, &
+         & 89.7257174014148973_dp, 89.5358791475907054_dp, 89.3129308164065066_dp, 89.0547035692462003_dp, &
+         & 88.7594633699299038_dp, 88.4259856973965981_dp, 88.0536171094393012_dp, 87.6423206785412958_dp, &
+         & 87.1927030896036968_dp, 86.7060221414988064_dp, 86.1841744398538054_dp, 85.6296640925144033_dp, &
+         & 85.0455541046250971_dp, 84.4354028288504992_dp, 83.8031882279302067_dp, 83.1532228924166930_dp, &
+         & 82.4900628200137049_dp, 81.8184130023622060_dp, 81.1430329219709989_dp, 80.4686450852430966_dp, &
+         & 79.7998495835004036_dp, 79.1410472623458929_dp, 78.4963733641525039_dp, 77.8696425980704987_dp, &
+         & 77.2643056905294969_dp, 76.6834167763933010_dp, 76.1296106113402971_dp, 75.6050885011413953_dp, &
+         & 75.1116119498640984_dp, 74.6505032050424973_dp, 74.2226520355548018_dp, 73.8285281801990010_dp, &
+         & 73.4681989545464944_dp, 73.1413515215285059_dp, 72.8473193383241977_dp, 72.5851123002138934_dp, &
+         & 72.3534501127339951_dp, 72.1507984314906992_dp, 71.9754073067865932_dp, 71.8253514514559015_dp, &
+         & 71.6985718119664028_dp, 71.5929178659598051_dp, 71.5061899988165948_dp, 71.4361812354475063_dp, &
+         & 71.3807175312220039_dp, 71.3376957685070039_dp, 71.3051185731308976_dp, 71.2811250672433943_dp, &
+         & 71.2640167181399988_dp, 71.2522775301430045_dp, 71.2445879584411017_dp, 71.2398320959921989_dp, &
+         & 71.2370978898212996_dp, 71.2356703711029979_dp, 71.2350181221998042_dp, 71.2347734405015984_dp, &
+         & 71.2347068810887976_dp, 71.2346970570568061_dp, 71.2346962690479018_dp, 71.2346817262872065_dp, &
+         & 71.2345831969454935_dp, 71.2342209926827934_dp, 71.2332554892588945_dp, 71.2311425094273005_dp, &
+         & 71.2270959033222937_dp, 71.2200588309006974_dp, 71.2086850766578010_dp, 71.1913315240239939_dp, &
+         & 71.1660626795849964_dp, 71.1306678572831999_dp, 71.0826913014164035_dp, 71.0194751379539042_dp, &
+         & 70.9382145946048013_dp, 70.8360244266914947_dp, 70.7100149431702931_dp, 70.5573754705812064_dp, &
+         & 70.3754625579267952_dp, 70.1618897560340002_dp, 69.9146154482543949_dp, 69.6320250111779018_dp, &
+         & 69.3130035823353978_dp, 68.9569959312164968_dp, 68.5640503776785977_dp, 68.1348443665876999_dp, &
+         & 67.6706901598602002_dp, 67.1735201010493057_dp, 66.6458519820957065_dp, 66.0907361209461044_dp, &
+         & 65.5116867531043994_dp, 64.9126011525142985_dp, 64.2976704346972951_dp, 63.6712861892169997_dp, &
+         & 63.0379469166433992_dp, 62.4021677453395966_dp, 61.7683961733966029_dp, 61.1409357578116968_dp, &
+         & 60.5238788970288013_dp, 59.9210492303285989_dp, 59.3359537540654003_dp, 58.7717445123619981_dp, &
+         & 58.2311895959610979_dp, 57.7166531029392971_dp, 57.2300836235867010_dp, 56.7730106899460978_dp, &
+         & 56.3465484937222030_dp, 55.9514060583577972_dp, 55.5879029842197028_dp, 55.2559898862175984_dp, &
+         & 54.9552727068072997_dp, 54.6850401946353983_dp, 54.4442939636947969_dp, 54.2317806647467009_dp, &
+         & 54.0460258913241987_dp, 53.8853694962997025_dp, 53.7480020086104986_dp, 53.6320018158402974_dp, &
+         & 53.5353727234946035_dp, 53.4560814251559009_dp, 53.3920943300860031_dp, 53.3414131079041027_dp, &
+         & 53.3021082354782010_dp, 53.2723497801688026_dp, 53.2504346355510023_dp, 53.2348094477993001_dp, &
+         & 53.2240885369949979_dp, 53.2170662280380995_dp, 53.2127231571639996_dp, 53.2102263052779989_dp, &
+         & 53.2089227185267006_dp, 53.2083270978206002_dp, 53.2081036597440971_dp, 53.2080428791521030_dp, &
+         & 53.2080339080633991_dp, 53.2080332161267009_dp, 53.2080207911653034_dp, 53.2079366102337019_dp, &
+         & 53.2076271523820026_dp, 53.2068022525784983_dp, 53.2049969856833016_dp, 53.2015397071734029_dp, &
+         & 53.1955275445770965_dp, 53.1858104894898034_dp, 53.1709850720010024_dp, 53.1493984012975034_dp, &
+         & 53.1191631198971024_dp, 53.0781835358126983_dp, 53.0241928601569015_dp, 52.9548010848238988_dp, &
+         & 52.8675525901553982_dp, 52.7599920888242977_dp, 52.6297370122344006_dp, 52.4745539619059969_dp, &
+         & 52.2924364210439023_dp, 52.0816805960840981_dp, 51.8409560799784970_dp, 51.5693680381110013_dp, &
+         & 51.2665078416064972_dp, 50.9324895202993986_dp, 50.5679700634187981_dp, 50.1741524173357973_dp, &
+         & 49.7527709471974973_dp, 49.3060600543218968_dp, 48.8367074804080019_dp, 48.3477945045549973_dp, &
+         & 47.8427257057563011_dp, 47.3251512221890991_dp, 46.7988845273239988_dp, 46.2678187154000966_dp, &
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+         & 0.8190017267726690_dp, 0.8116269449437110_dp, 0.8051502381829320_dp, 0.7995145667796210_dp, &
+         & 0.7946595710758120_dp, 0.7905224944686891_dp, 0.7870390833203230_dp, 0.7841444706550080_dp, &
+         & 0.7817740462571831_dp, 0.7798643107046390_dp, 0.7783537054786510_dp, 0.7771834061008600_dp, &
+         & 0.7762980607534470_dp, 0.7756464535088270_dp, 0.7751820694923450_dp, 0.7748635392838420_dp, &
+         & 0.7746549417211240_dp, 0.7745259479378600_dp, 0.7744517947073321_dp, 0.7744130816005710_dp, &
+         & 0.7743953936190739_dp, 0.7743887583042690_dp, 0.7743869533431960_dp, 0.7743866869349320_dp, &
+         & 0.7743866664700360_dp, 0.7743863000626590_dp, 0.7743838176019010_dp, 0.7743746918592510_dp, &
+         & 0.7743503663316180_dp, 0.7742971322941510_dp, 0.7741951895829260_dp, 0.7740179317533920_dp, &
+         & 0.7737314934309010_dp, 0.7732945942207150_dp, 0.7726587090010920_dp, 0.7717685881742680_dp, &
+         & 0.7705631428520830_dp, 0.7689766984447320_dp, 0.7669406053827290_dp, 0.7643851777884551_dp, &
+         & 0.7612419103877390_dp, 0.7574459019585760_dp, 0.7529383918810310_dp, 0.7476692970945750_dp, &
+         & 0.7415996224792710_dp, 0.7347036108221090_dp, 0.7269705011713090_dp, 0.7184057777926111_dp, &
+         & 0.7090318162634330_dp, 0.6988878672948430_dp, 0.6880293601334840_dp, 0.6765265522132040_dp, &
+         & 0.6644625957375180_dp, 0.6519311305740130_dp, 0.6390335422248370_dp, 0.6258760407716299_dp, &
+         & 0.6125667201501410_dp, 0.5992127471484850_dp, 0.5859178079959120_dp, 0.5727799104271580_dp, &
+         & 0.5598896045123500_dp, 0.5473286503067100_dp, 0.5351691280420280_dp, 0.5234729598433460_dp, &
+         & 0.5122917924189920_dp, 0.5016671783377969_dp, 0.4916309889248400_dp, 0.4822059933225090_dp, &
+         & 0.4734065443445420_dp, 0.4652393207584140_dp, 0.4577040860573900_dp, 0.4507944343869350_dp, &
+         & 0.4444985041701410_dp, 0.4387996485580600_dp, 0.4336770588237330_dp, 0.4291063421453740_dp, &
+         & 0.4250600589494840_dp, 0.4215082272493050_dp, 0.4184188023977240_dp, 0.4157581405628580_dp, &
+         & 0.4134914532026100_dp, 0.4115832580395850_dp, 0.4099978296838600_dp, 0.4086996503011310_dp, &
+         & 0.4076538577627530_dp, 0.4068266857553770_dp, 0.4061858875867590_dp, 0.4057011331294550_dp, &
+         & 0.4053443667009590_dp, 0.4050901128663180_dp, 0.4049157172871670_dp, 0.4048015108773340_dp, &
+         & 0.4047308876199620_dp, 0.4046902893364720_dp, 0.4046690942660970_dp, 0.4046594102671290_dp, &
+         & 0.4046557774977520_dp, 0.4046547892995140_dp, 0.4046546434436210_dp, 0.4046546321537790_dp, &
+         & 0.4046544289053320_dp, 0.4046530518689200_dp, 0.4046479897645130_dp, 0.4046344962602150_dp, &
+         & 0.4046049671091790_dp, 0.4045484192871810_dp, 0.4044500947741200_dp, 0.4042912101042330_dp, &
+         & 0.4040488709418360_dp, 0.4036961684425510_dp, 0.4032024706588830_dp, 0.4025339173628310_dp, &
+         & 0.4016541200384300_dp, 0.4005250602528320_dp, 0.3991081691831790_dp, 0.3973655591213120_dp, &
+         & 0.3952613650356650_dp, 0.3927631418478650_dp, 0.3898432523972420_dp, 0.3864801736816470_dp, &
+         & 0.3826596463775190_dp, 0.3783755960120910_dp, 0.3736307640387220_dp, 0.3684370031948700_dp, &
+         & 0.3628152127414670_dp, 0.3567949135131270_dp, 0.3504134875865790_dp, 0.3437151300397830_dp, &
+         & 0.3367495782109840_dp, 0.3295706952249300_dp, 0.3222349884345450_dp, 0.3148001400002300_dp, &
+         & 0.3073236172219250_dp, 0.2998614162819140_dp, 0.2924669768862880_dp, 0.2851902889940450_dp, &
+         & 0.2780771980768010_dp, 0.2711689032794600_dp, 0.2645016339495920_dp, 0.2581064842542840_dp, &
+         & 0.2520093826297230_dp, 0.2462311720532140_dp, 0.2407877779861280_dp, 0.2356904427578570_dp, &
+         & 0.2309460076897520_dp, 0.2265572270592460_dp, 0.2225231008592350_dp, 0.2188392160890800_dp, &
+         & 0.2154980889416150_dp, 0.2124895026765610_dp, 0.2098008381294960_dp, 0.2074173956396660_dp, &
+         & 0.2053227086246490_dp, 0.2034988500355440_dp, 0.2019267334567160_dp, 0.2005864106635040_dp, &
+         & 0.1994573670335170_dp, 0.1985188153727360_dp, 0.1977499875463450_dp, 0.1971304219091790_dp, &
+         & 0.1966402430394110_dp, 0.1962604288486030_dp, 0.1959730589148450_dp, 0.1957615370098580_dp, &
+         & 0.1956107803758870_dp, 0.1955073684355990_dp, 0.1954396443148170_dp, 0.1953977638054740_dp, &
+         & 0.1953736881186220_dp, 0.1953611188601910_dp, 0.1953553759580300_dp, 0.1953532216126770_dp, &
+         & 0.1953526355799650_dp, 0.1953525490828130_dp, 0.1953525423332960_dp, 0.1953524201221340_dp, &
+         & 0.1953515921243390_dp, 0.1953485483307560_dp, 0.1953404348014370_dp, 0.1953226790830060_dp, &
+         & 0.1952886768350480_dp, 0.1952295531396690_dp, 0.1951340109769720_dp, 0.1949882781469090_dp, &
+         & 0.1947761623565330_dp, 0.1944792220744060_dp, 0.1940770578837460_dp, 0.1935477252599040_dp, &
+         & 0.1928682648649130_dp, 0.1920153406168340_dp, 0.1909659691513640_dp, 0.1896983172300110_dp, &
+         & 0.1881925367443100_dp, 0.1864316009352510_dp, 0.1844021010982000_dp, 0.1820949611310280_dp, &
+         & 0.1795060284058110_dp, 0.1766365039067210_dp, 0.1734931823029340_dp, 0.1700884831288080_dp, &
+         & 0.1664402666554710_dp, 0.1625714412275840_dp, 0.1585093815569250_dp, 0.1542851885289590_dp, &
+         & 0.1499328295449090_dp, 0.1454882036926790_dp, 0.1409881779242140_dp, 0.1364696390768930_dp, &
+         & 0.1319686024284860_dp, 0.1275194110832130_dp, 0.1231540524799610_dp, 0.1189016093882030_dp, &
+         & 0.1147878536660440_dp, 0.1108349825436650_dp, 0.1070614898808490_dp, 0.1034821590880310_dp, &
+         & 0.1001081602850750_dp, 0.0969472317430586_dp, 0.0940039246135029_dp, 0.0912798903321601_dp, &
+         & 0.0887741917572384_dp, 0.0864836217855895_dp, 0.0844030164757186_dp, 0.0825255531537437_dp, &
+         & 0.0808430272531098_dp, 0.0793461045678470_dp, 0.0780245480931541_dp, 0.0768674206455415_dp, &
+         & 0.0758632659528615_dp, 0.0750002718354352_dp, 0.0742664194768992_dp, 0.0736496226404171_dp, &
+         & 0.0731378601169581_dp, 0.0727193037858171_dp, 0.0723824435369664_dp, 0.0721162090580378_dp, &
+         & 0.0719100872366880_dp, 0.0717542327921592_dp, 0.0716395688261713_dp, 0.0715578733702671_dp, &
+         & 0.0715018477548881_dp, 0.0714651627830278_dp, 0.0714424792251833_dp, 0.0714294400399638_dp, &
+         & 0.0714226328765903_dp, 0.0714195227339758_dp, 0.0714183560293975_dp, 0.0714180386590613_dp, &
+         & 0.0714179918158919_dp, 0.0714179881295678_dp, 0.0714179209836345_dp, 0.0714174660607938_dp, &
+         & 0.0714157937309494_dp, 0.0714113360223365_dp, 0.0714015809889332_dp, 0.0713829010514928_dp, &
+         & 0.0713504231131878_dp, 0.0712979479295370_dp, 0.0712179257956223_dp, 0.0711014949639832_dp, &
+         & 0.0709385881699234_dp, 0.0707181110393407_dp, 0.0704281938355820_dp, 0.0700565148845982_dp, &
+         & 0.0695906900788117_dp, 0.0690187182555917_dp, 0.0683294672196695_dp, 0.0675131801710620_dp, &
+         & 0.0665619778343824_dp, 0.0654703282835101_dp, 0.0642354549089390_dp, 0.0628576536778240_dp, &
+         & 0.0613404941013584_dp, 0.0596908841595223_dp, 0.0579189875882378_dp, 0.0560379917989451_dp, &
+         & 0.0540637354136919_dp, 0.0520142148539549_dp, 0.0499089984188998_dp, 0.0477685827413126_dp, &
+         & 0.0456137296920787_dp, 0.0434648215789224_dp, 0.0413412692432615_dp, 0.0392610020864339_dp, &
+         & 0.0372400616834767_dp, 0.0352923118923627_dp, 0.0334292687012265_dp, 0.0316600435830168_dp, &
+         & 0.0299913864505328_dp, 0.0284278097979609_dp, 0.0269717744490237_dp, 0.0256239182186562_dp, &
+         & 0.0243833101707196_dp, 0.0232477141229310_dp, 0.0222138462942070_dp, 0.0212776146229601_dp, &
+         & 0.0204343315056832_dp, 0.0196788963578314_dp, 0.0190059480579663_dp, 0.0184099892661891_dp, &
+         & 0.0178854851085646_dp, 0.0174269387066630_dp, 0.0170289464903846_dp, 0.0166862370621743_dp, &
+         & 0.0163936977229184_dp, 0.0161463926063448_dp, 0.0159395758422392_dp, 0.0157687026413242_dp, &
+         & 0.0156294404235808_dp, 0.0155176812944404_dp, 0.0154295564389173_dp, 0.0153614523671450_dp, &
+         & 0.0153100284270806_dp, 0.0152722345219587_dp, 0.0152453275568405_dp, 0.0152268849117974_dp, &
+         & 0.0152148131774084_dp, 0.0152073505245909_dp, 0.0152030613579512_dp, 0.0152008223520852_dp, &
+         & 0.0151997994065596_dp, 0.0151994156754824_dp, 0.0151993112931024_dp, 0.0151992958866458_dp, &
+         & 0.0151992946635318_dp, 0.0151992722467469_dp, 0.0151991203755131_dp, 0.0151985620872637_dp, &
+         & 0.0151970739704410_dp, 0.0151938176346533_dp, 0.0151875827855719_dp, 0.0151767447810300_dp, &
+         & 0.0151592396300941_dp, 0.0151325594048757_dp, 0.0150937709719443_dp, 0.0150395606476792_dp, &
+         & 0.0149663067931272_dp, 0.0148701813100445_dp, 0.0147472795240162_dp, 0.0145937759099013_dp, &
+         & 0.0144061007522822_dp, 0.0141811301490975_dp, 0.0139163793071049_dp, 0.0136101869138514_dp, &
+         & 0.0132618770117148_dp, 0.0128718840343396_dp, 0.0124418272654623_dp, 0.0119745239468045_dp, &
+         & 0.0114739361017797_dp, 0.0109450526360320_dp, 0.0103937124286944_dp, 0.0098263788117237_dp, &
+         & 0.0092498832599972_dp, 0.0086681171341070_dp, 0.0080943799826514_dp, 0.0075314540505786_dp, &
+         & 0.0069850291298224_dp, 0.0064600051653656_dp, 0.0059603904535095_dp, 0.0054892562662872_dp, &
+         & 0.0050487435362214_dp, 0.0046401136314103_dp, 0.0042638330614864_dp, 0.0039196811241027_dp, &
+         & 0.0036068697978635_dp, 0.0033241663346786_dp, 0.0030700107542430_dp, 0.0028426225556615_dp, &
+         & 0.0026400931451036_dp, 0.0024604624338451_dp, 0.0023017795608098_dp, 0.0021621486857413_dp, &
+         & 0.0020397613838270_dp, 0.0019329174999001_dp, 0.0018400364887299_dp, 0.0017596612980952_dp, &
+         & 0.0016904567388707_dp, 0.0016319491633681_dp, 0.0015817810174212_dp, 0.0015392716478431_dp, &
+         & 0.0015035134552335_dp, 0.0014736990896580_dp, 0.0014486509290634_dp, 0.0014289580612257_dp, &
+         & 0.0014138755274757_dp, 0.0014016744717651_dp, 0.0013922452043289_dp, 0.0013851203043060_dp, &
+         & 0.0013798786782928_dp, 0.0013761431391117_dp, 0.0013735804143522_dp, 0.0013719017924387_dp, &
+         & 0.0013708635688374_dp, 0.0013702666610271_dp, 0.0013699550101194_dp, 0.0013698126113155_dp, &
+         & 0.0013697591921442_dp, 0.0013697446607210_dp, 0.0013697425160473_dp, 0.0013697423462276_dp, &
+         & 0.0013697392385694_dp, 0.0013697181849892_dp, 0.0013696407891928_dp, 0.0013694344768425_dp, &
+         & 0.0013689829518313_dp, 0.0013681181754919_dp, 0.0013666141990996_dp, 0.0013641832128286_dp, &
+         & 0.0013604743007818_dp, 0.0013550756313236_dp, 0.0013475210476344_dp, 0.0013373020827601_dp, &
+         & 0.0013238861849061_dp, 0.0013067413929235_dp, 0.0012853667803086_dp, 0.0012593267658190_dp, &
+         & 0.0012279337426833_dp, 0.0011928211116157_dp, 0.0011523043350223_dp, 0.0011066118917853_dp, &
+         & 0.0010560391244496_dp, 0.0010010938526364_dp, 0.0009429537401218_dp, 0.0008823371714755_dp, &
+         & 0.0008196582545281_dp, 0.0007559534788726_dp, 0.0006926055283856_dp, 0.0006304101815431_dp, &
+         & 0.0005699792645970_dp, 0.0005122738214851_dp, 0.0004579646032568_dp, 0.0004072897843628_dp, &
+         & 0.0003607208785468_dp, 0.0003183751746860_dp, 0.0002800932973059_dp, 0.0002460834237752_dp, &
+         & 0.0002160032405101_dp, 0.0001893539923401_dp, 0.0001663015342075_dp, 0.0001464097896076_dp, &
+         & 1.2897327398775401e-04_dp, 1.1396225303883501e-04_dp, 1.0150241625694900e-04_dp, 9.0625726457460601e-05_dp, &
+         & 8.1169823189952695e-05_dp, 7.3416720624663894e-05_dp, 6.6842098533470603e-05_dp, 6.1094598365229999e-05_dp, &
+         & 5.6295774513159800e-05_dp, 5.2432228358156903e-05_dp, 4.9091677411183803e-05_dp, 4.6097763998886903e-05_dp, &
+         & 4.3490069501217497e-05_dp, 4.1608884615129702e-05_dp, 4.0203772570634997e-05_dp, 3.8992871168375098e-05_dp, &
+         & 3.7921786017136603e-05_dp, 3.6982196903068102e-05_dp, 3.6176900934492598e-05_dp, 3.5507542136770098e-05_dp, &
+         & 3.4969249483651799e-05_dp, 3.4550162411051099e-05_dp, 3.4233888172252598e-05_dp, 3.4002532586896498e-05_dp, &
+         & 3.3838850711731498e-05_dp, 3.3727355514656699e-05_dp, 3.3654758382795101e-05_dp, 3.3610054543942203e-05_dp, &
+         & 3.3584427370669800e-05_dp, 3.3571069934623699e-05_dp, 3.3564972028443703e-05_dp, 3.3562685374022301e-05_dp, &
+         & 3.3562063407544001e-05_dp, 3.3561971605422500e-05_dp, 3.3561964386308298e-05_dp, 3.3561832665895997e-05_dp, &
+         & 3.3560940181587298e-05_dp, 3.3557658866811801e-05_dp, 3.3548908092484500e-05_dp, 3.3529737123672001e-05_dp, &
+         & 3.3492946357682700e-05_dp, 3.3428734397489300e-05_dp, 3.3324352997965400e-05_dp, 3.3163775441380501e-05_dp, &
+         & 3.2927496178558599e-05_dp, 3.2592982606161099e-05_dp, 3.2138018084992803e-05_dp, 3.1558314674384699e-05_dp, &
+         & 3.0927822308513000e-05_dp, 3.0315116944734699e-05_dp, 2.9604610546130099e-05_dp, 2.8704149499958499e-05_dp, &
+         & 2.7564323886508599e-05_dp, 2.6155798792615301e-05_dp, 2.4477796927158100e-05_dp, 2.2597957809011900e-05_dp, &
+         & 2.0806672281992202e-05_dp, 1.9204489916546700e-05_dp, 1.7505352715829799e-05_dp, 1.5724915428450000e-05_dp, &
+         & 1.4027344249711900e-05_dp, 1.2480451303531500e-05_dp, 1.1051419150476200e-05_dp, 9.8752684891678706e-06_dp, &
+         & 8.8568476854789003e-06_dp, 7.8426710814483192e-06_dp, 7.2269128423840803e-06_dp, 6.9681796048826098e-06_dp, &
+         & 6.3787810233861802e-06_dp, 6.3717388627537696e-06_dp, 6.5263950119742697e-06_dp, 6.2108253757742196e-06_dp, &
+         & 5.3772701846810403e-06_dp, 4.1586001060522904e-06_dp, 2.7974263900887300e-06_dp, 1.5423109545054099e-06_dp, &
+         & 1.0550652120855400e-06_dp, 1.1294990116539300e-06_dp, 8.2842528570381504e-07_dp, 1.1174233094379800e-06_dp, &
+         & 1.8793843850062301e-06_dp, 2.4157173186267802e-06_dp, 2.5500629163843798e-06_dp, 2.2941238881912800e-06_dp, &
+         & 1.7620231886894500e-06_dp, 1.1190561508556100e-06_dp, 6.5679290628395403e-07_dp, 7.0953151976027595e-07_dp, &
+         & 7.1993268591086203e-07_dp, 6.4989046677510498e-07_dp, 5.5365603657264696e-07_dp, 4.6692117905422497e-07_dp, &
+         & 4.0817832314132797e-07_dp, 3.8319899431371601e-07_dp, 3.8038179184241001e-07_dp, 3.7303277622413599e-07_dp, &
+         &  3.4746192056900300e-07_dp, -4.2632564145605999e-14_dp, -5.6843418860808002e-14_dp, -4.2632564145605999e-14_dp, &
+         & -5.6843418860808002e-14_dp, -4.2632564145605999e-14_dp, -5.6843418860808002e-14_dp, -4.2632564145605999e-14_dp, &
+         & -5.6843418860808002e-14_dp, -5.6843418860808002e-14_dp, -5.6843418860808002e-14_dp, -4.2632564145605999e-14_dp, &
+         & -4.2632564145605999e-14_dp &
+         &]
+      case (115)
+         out = [&
+         & 115.0000000000000000_dp, 114.9999998480490007_dp, 114.9999951494110064_dp, 114.9999633153930034_dp, &
+         & 114.9998462893189952_dp, 114.9995343341969942_dp, 114.9988515946770065_dp, 114.9975439389809964_dp, &
+         & 114.9952695148279957_dp, 114.9915923674950022_dp, 114.9859793716919967_dp, 114.9778006264999988_dp, &
+         & 114.9663333600710047_dp, 114.9507692941729999_dp, 114.9302253342449944_dp, 114.9037573831229935_dp, &
+         & 114.8703770283349996_dp, 114.8290708222379948_dp, 114.7788218549499959_dp, 114.7186333008600059_dp, &
+         & 114.6475535860080015_dp, 114.5647027611349955_dp, 114.4692995628130063_dp, 114.3606885011139980_dp, &
+         & 114.2383661375500026_dp, 114.1020055368660024_dp, 113.9514777277939999_dp, 113.7868689337950059_dp, &
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+         & 0.0146746444132901_dp, 0.0146712476816617_dp, 0.0146647441969776_dp, 0.0146534397847944_dp, &
+         & 0.0146351828105793_dp, 0.0146073602764289_dp, 0.0145669188336512_dp, 0.0145104136373675_dp, &
+         & 0.0144340873090698_dp, 0.0143339801239648_dp, 0.0142060708306957_dp, 0.0140464452310738_dp, &
+         & 0.0138514868981190_dp, 0.0136180814006650_dp, 0.0133438224650604_dp, 0.0130272060679886_dp, &
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+         & 0.0031299615298508_dp, 0.0028684506407899_dp, 0.0026347637842008_dp, 0.0024269023099350_dp, &
+         & 0.0022427932742346_dp, 0.0020803616831699_dp, 0.0019375856977746_dp, 0.0018125362191483_dp, &
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+         & 0.0011228010976083_dp, 0.0011195580288756_dp, 0.0011173373340796_dp, 0.0011158847259338_dp, &
+         & 0.0011149871146188_dp, 0.0011144713433424_dp, 0.0011142021413946_dp, 0.0011140791584126_dp, &
+         & 0.0011140330261270_dp, 0.0011140204772744_dp, 0.0011140186251026_dp, 0.0011140184767129_dp, &
+         & 0.0011140157402423_dp, 0.0011139972003775_dp, 0.0011139290481594_dp, 0.0011137473966016_dp, &
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+         & 0.0002706023333729_dp, 0.0002370751674192_dp, 0.0002070949997375_dp, 0.0001805178938668_dp, &
+         & 0.0001571380008016_dp, 0.0001367160253096_dp, 0.0001189991934041_dp, 0.0001037297960522_dp, &
+         & 9.0645463529881494e-05_dp, 7.9478959861489798e-05_dp, 6.9963139438300500e-05_dp, 6.1842245813181803e-05_dp, &
+         & 5.4887315997120802e-05_dp, 4.8907279406762400e-05_dp, 4.3749419432970198e-05_dp, 3.9295538627470698e-05_dp, &
+         & 3.5457226488233600e-05_dp, 3.2163380026872801e-05_dp, 2.9346888339887300e-05_dp, 2.6946422622131599e-05_dp, &
+         & 2.4915219583476799e-05_dp, 2.3217383812834699e-05_dp, 2.1814951878695899e-05_dp, 2.0663783246277500e-05_dp, &
+         & 1.9721230572145002e-05_dp, 1.8952967849372699e-05_dp, 1.8332855134417500e-05_dp, 1.7839554587340000e-05_dp, &
+         & 1.7453992569471700e-05_dp, 1.7158545603024298e-05_dp, 1.6937126417815300e-05_dp, 1.6775386370682099e-05_dp, &
+         & 1.6660773582089001e-05_dp, 1.6582480100169101e-05_dp, 1.6531351192838900e-05_dp, 1.6499791072987998e-05_dp, &
+         & 1.6481668367873701e-05_dp, 1.6472212877260999e-05_dp, 1.6467893971139299e-05_dp, 1.6466274047388699e-05_dp, &
+         & 1.6465833411416501e-05_dp, 1.6465768354123601e-05_dp, 1.6465763138739900e-05_dp, 1.6465666504927901e-05_dp, &
+         & 1.6465011796640300e-05_dp, 1.6462605088918301e-05_dp, 1.6456190564895200e-05_dp, 1.6442156578477800e-05_dp, &
+         & 1.6415295817750999e-05_dp, 1.6368635542107798e-05_dp, 1.6293360857844201e-05_dp, 1.6178861557136800e-05_dp, &
+         & 1.6012952443134102e-05_dp, 1.5782350217818900e-05_dp, 1.5473535995624799e-05_dp, 1.5074143021820400e-05_dp, &
+         & 1.4574840449199699e-05_dp, 1.3971103498988701e-05_dp, 1.3263389718076700e-05_dp, 1.2454588514287900e-05_dp, &
+         & 1.1547274851864101e-05_dp, 1.0547130628424401e-05_dp, 9.4753717689855000e-06_dp, 8.3836472555276504e-06_dp, &
+         & 7.3490793397468198e-06_dp, 6.4179671994679700e-06_dp, 5.5695297902502699e-06_dp, 4.7850142692595901e-06_dp, &
+         & 4.1136193402735401e-06_dp, 3.6044674658342000e-06_dp, 3.1414151777653400e-06_dp, 2.6396901944281100e-06_dp, &
+         & 2.2211982440012400e-06_dp, 1.8709066864630601e-06_dp, 1.4385427249408201e-06_dp, 1.1102838612941900e-06_dp, &
+         & 9.8054822217363793e-07_dp, 8.8019473309941500e-07_dp, 9.6913051095270909e-07_dp, 1.0833876160631900e-06_dp, &
+         & 1.1039354319564201e-06_dp, 1.0921730790869299e-06_dp, 1.0417309823651500e-06_dp, 8.6940849541861098e-07_dp, &
+         & 8.9931245383922900e-07_dp, 9.9009012899386995e-07_dp, 7.4114045389705996e-07_dp, 8.4632068819701100e-07_dp, &
+         & 1.5567106714797799e-06_dp, 2.0320267424267500e-06_dp, 2.1617880179292098e-06_dp, 1.9615193878053101e-06_dp, &
+         & 1.5220324200981801e-06_dp, 9.7258300968405799e-07_dp, 4.9530802925801296e-07_dp, 4.9204777496925100e-07_dp, &
+         &  5.5461823933455900e-07_dp, 5.1176061788282802e-07_dp, 4.2977558223356001e-07_dp, -2.8421709430404001e-14_dp, &
+         & -4.2632564145605999e-14_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, &
+         & -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, &
+         & -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, &
+         & -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, -2.8421709430404001e-14_dp, &
+         & -1.4210854715202001e-14_dp &
+         &]
+      case (116)
+         out = [&
+         & 116.0000000000000000_dp, 115.9999998462359940_dp, 115.9999950915340037_dp, 115.9999628776750029_dp, &
+         & 115.9998444552529975_dp, 115.9995287778910011_dp, 115.9988378918949934_dp, 115.9975146330170048_dp, &
+         & 115.9952130694690027_dp, 115.9914920433590027_dp, 115.9858120651140041_dp, 115.9775357117789980_dp, &
+         & 115.9659315763569936_dp, 115.9501817177669949_dp, 115.9293924758070062_dp, 115.9026084475879941_dp, &
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+         & 111.7374340746950026_dp, 111.4902211680710025_dp, 111.2494862109059994_dp, 111.0166663867889980_dp, &
+         & 110.7930532015339935_dp, 110.5797782482789984_dp, 110.3778024625320029_dp, 110.1879087585320036_dp, &
+         & 110.0106979406360068_dp, 109.8465877860299997_dp, 109.6958151909239945_dp, 109.5584412583049954_dp, &
+         & 109.4343591811140044_dp, 109.3233047419950026_dp, 109.2248692120190015_dp, 109.1385143886240030_dp, &
+         & 109.0635894699129977_dp, 108.9993494204619964_dp, 108.9449744449569977_dp, 108.8995901520069935_dp, &
+         & 108.8622879632399929_dp, 108.8321453041230029_dp, 108.8082451046330021_dp, 108.7896941416939995_dp, &
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+         & 108.7439523962869998_dp, 108.7420681418030028_dp, 108.7384595488349959_dp, 108.7321841120230062_dp, &
+         & 108.7220411671719944_dp, 108.7065650646189994_dp, 108.6840290064729970_dp, 108.6524600577260031_dp, &
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+         & 94.2704267142628964_dp, 93.9461816979264057_dp, 93.6516109386861046_dp, 93.3862449387153930_dp, &
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+         & 92.1077730045923033_dp, 92.0573560105048045_dp, 92.0182400210047007_dp, 91.9886152402743988_dp, &
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+         & 91.9245445021251015_dp, 91.9244397592611051_dp, 91.9240547133174033_dp, 91.9230283214653952_dp, &
+         & 91.9207820842671026_dp, 91.9164802569964934_dp, 91.9089992984571040_dp, 91.8969079601540955_dp, &
+         & 91.8784591985878052_dp, 91.8515948370722981_dp, 91.8139636028677018_dp, 91.7629528121985061_dp, &
+         & 91.6957335635026993_dp, 91.6093188263789955_dp, 91.5006332858381057_dp, 91.3665932339055047_dp, &
+         & 91.2041942195354949_dp, 91.0106036102772009_dp, 90.7832547316082952_dp, 90.5199388846392026_dp, &
+         & 90.2188913529916050_dp, 89.8788675418251017_dp, 89.4992056784062981_dp, 89.0798730528908038_dp, &
+         & 88.6214935667876063_dp, 88.1253553246333041_dp, 87.5933980566944967_dp, 87.0281811803077971_dp, &
+         & 86.4328341814129004_dp, 85.8109916482232933_dp, 85.1667157009359954_dp, 84.5044087885689947_dp, &
+         & 83.8287199610822995_dp, 83.1444478510442053_dp, 82.4564437191792052_dp, 81.7695179418173979_dp, &
+         & 81.0883531034465932_dp, 80.4174263043152990_dp, 79.7609424297125997_dp, 79.1227791246027010_dp, &
+         & 78.5064433116171045_dp, 77.9150384698799030_dp, 77.3512416168715049_dp, 76.8172889385307940_dp, &
+         & 76.3149691624757054_dp, 75.8456239426377010_dp, 75.4101546493641024_dp, 75.0090350208968033_dp, &
+         & 74.6423291482889937_dp, 74.3097142640455957_dp, 74.0105078057845986_dp, 73.7436982378639954_dp, &
+         & 73.5079791330493038_dp, 73.3017860338130021_dp, 73.1233356187780004_dp, 72.9706666866903930_dp, &
+         & 72.8416824349651932_dp, 72.7341934536914039_dp, 72.6459607844578983_dp, 72.5747383149981005_dp, &
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+         & 72.3995929207371063_dp, 72.3876506796484023_dp, 72.3798281151341030_dp, 72.3749900045382049_dp, &
+         & 72.3722085147682037_dp, 72.3707563100164037_dp, 72.3700927819214002_dp, 72.3698438690187942_dp, &
+         & 72.3697761586168014_dp, 72.3697661647012040_dp, 72.3697653630655964_dp, 72.3697505688219991_dp, &
+         & 72.3696503356479042_dp, 72.3692818679331964_dp, 72.3682996685681985_dp, 72.3661501506996956_dp, &
+         & 72.3620335722655028_dp, 72.3548748248337006_dp, 72.3433044314574971_dp, 72.3256509025208061_dp, &
+         & 72.2999453577129003_dp, 72.2639390377830040_dp, 72.2151339926772948_dp, 72.1508268362126017_dp, &
+         & 72.0681649996032974_dp, 71.9642144024512049_dp, 71.8360369053812065_dp, 71.6807753392842955_dp, &
+         & 71.4957433583937956_dp, 71.2785168826434017_dp, 71.0270235275423971_dp, 70.7396262143996069_dp, &
+         & 70.4151971498958034_dp, 70.0531785883444940_dp, 69.6536272518258954_dp, 69.2172399727029983_dp, &
+         & 68.7453590101712990_dp, 68.2399565287581993_dp, 67.7035988448339054_dp, 67.1393921623342038_dp, &
+         & 66.5509125315962962_dp, 65.9421235702169071_dp, 65.3172859873508997_dp, 64.6808630907499946_dp, &
+         & 64.0374262212263972_dp, 63.3915635096839978_dp, 62.7477946029438982_dp, 62.1104932022409031_dp, &
+         & 61.4838185386772977_dp, 60.8716563616874993_dp, 60.2775696603015021_dp, 59.7047591309976013_dp, &
+         & 59.1560332745607980_dp, 58.6337878757485029_dp, 58.1399944552581971_dp, 57.6761970880991015_dp, &
+         & 57.2435167921912011_dp, 56.8426625504609007_dp, 56.4739479699751996_dp, 56.1373126093050985_dp, &
+         & 55.8323471038071020_dp, 55.5583213578713995_dp, 55.3142152211848028_dp, 55.0987511963056988_dp, &
+         & 54.9104288203826982_dp, 54.7475604168664987_dp, 54.6083079230677981_dp, 54.4907204708241011_dp, &
+         & 54.3927723379806025_dp, 54.3124008075121978_dp, 54.2475433798216997_dp, 54.1961736937120975_dp, &
+         & 54.1563354344691987_dp, 54.1261734544886011_dp, 54.1039613125000969_dp, 54.0881244588558019_dp, &
+         & 54.0772583605688979_dp, 54.0701409711827026_dp, 54.0657391036223984_dp, 54.0632084518336029_dp, &
+         & 54.0618872191693995_dp, 54.0612835360557966_dp, 54.0610570735170981_dp, 54.0609954702005027_dp, &
+         & 54.0609863776793986_dp, 54.0609856763767027_dp, 54.0609730832314028_dp, 54.0608877628311006_dp, &
+         & 54.0605741161925977_dp, 54.0597380507794014_dp, 54.0579083490231014_dp, 54.0544042779071034_dp, &
+         & 54.0483107522001021_dp, 54.0384622185276982_dp, 54.0234362578181972_dp, 54.0015577034800032_dp, &
+         & 53.9709138334461969_dp, 53.9293809070596026_dp, 53.8746619756259975_dp, 53.8043354957374973_dp, &
+         & 53.7159138214544001_dp, 53.6069101583778007_dp, 53.4749120528859976_dp, 53.3176589967323977_dp, &
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+         & 1.2320900709025600_dp, 1.2095016409499699_dp, 1.1874069797803799_dp, 1.1659393414710300_dp, &
+         & 1.1452159021727799_dp, 1.1253370432592200_dp, 1.1063861607526899_dp, 1.0884299156440400_dp, &
+         & 1.0715188336932600_dp, 1.0556881647978700_dp, 1.0409589193587900_dp, 1.0273390104082800_dp, &
+         & 1.0148244438012000_dp, 1.0034005129672301_dp, 0.9930429683373350_dp, 0.9837191437261480_dp, &
+         & 0.9753890321131420_dp, 0.9680063111442790_dp, 0.9615193242034370_dp, 0.9558720261548070_dp, &
+         & 0.9510049040116120_dp, 0.9468558820832700_dp, 0.9433612188733210_dp, 0.9404563994676780_dp, &
+         & 0.9380770227201219_dp, 0.9361596775979990_dp, 0.9346427980157160_dp, 0.9334674807878400_dp, &
+         & 0.9325782474100350_dp, 0.9319237276135079_dp, 0.9314572413603630_dp, 0.9311372563665690_dp, &
+         & 0.9309277004330170_dp, 0.9307981117580080_dp, 0.9307236157698210_dp, 0.9306847234938830_dp, &
+         & 0.9306669535985320_dp, 0.9306602875469280_dp, 0.9306584742239180_dp, 0.9306582065814410_dp, &
+         & 0.9306581860216880_dp, 0.9306578179167960_dp, 0.9306553239547239_dp, 0.9306461559267090_dp, &
+         & 0.9306217176414010_dp, 0.9305682366309180_dp, 0.9304658201489960_dp, 0.9302877359610870_dp, &
+         & 0.9299999553928729_dp, 0.9295609924241720_dp, 0.9289220678524260_dp, 0.9280276211219129_dp, &
+         & 0.9268161837114800_dp, 0.9252216164684910_dp, 0.9231746986670401_dp, 0.9206050389334310_dp, &
+         & 0.9174432580924190_dp, 0.9136233726054140_dp, 0.9090852863272540_dp, 0.9037772800196250_dp, &
+         & 0.8976583748982990_dp, 0.8907004408658140_dp, 0.8828899239391030_dp, 0.8742290818128140_dp, &
+         & 0.8647366413962060_dp, 0.8544478260619000_dp, 0.8434137404564980_dp, 0.8317001432207149_dp, &
+         & 0.8193856784834570_dp, 0.8065596712599900_dp, 0.7933196163647270_dp, 0.7797685028955210_dp, &
+         & 0.7660121161003990_dp, 0.7521564464675240_dp, 0.7383053145324679_dp, 0.7245582924329170_dp, &
+         & 0.7110089732562700_dp, 0.6977436100937240_dp, 0.6848401211422300_dp, 0.6723674369618921_dp, &
+         & 0.6603851518962930_dp, 0.6489434336133120_dp, 0.6380831419937040_dp, 0.6278361100646350_dp, &
+         & 0.6182255440963760_dp, 0.6092665061677710_dp, 0.6009664494602870_dp, 0.5933257835081210_dp, &
+         & 0.5863384530943140_dp, 0.5799925201371540_dp, 0.5742707425972070_dp, 0.5691511481088580_dp, &
+         & 0.5646076027090170_dp, 0.5606103767459700_dp, 0.5571267108581280_dp, 0.5541213848860170_dp, &
+         & 0.5515572917974511_dp, 0.5493960172643990_dp, 0.5475984235481520_dp, 0.5461252339838010_dp, &
+         & 0.5449376117812080_dp, 0.5439977242953660_dp, 0.5432692815863900_dp, 0.5427180362206490_dp, &
+         & 0.5423122300732079_dp, 0.5420229735475030_dp, 0.5418245432493620_dp, 0.5416945857674310_dp, &
+         & 0.5416142177817280_dp, 0.5415680161010530_dp, 0.5415438952199590_dp, 0.5415328743179940_dp, &
+         & 0.5415287400178530_dp, 0.5415276153899530_dp, 0.5415274493972790_dp, 0.5415274365487760_dp, &
+         & 0.5415272052399300_dp, 0.5415256380897659_dp, 0.5415198770993900_dp, 0.5415045205632790_dp, &
+         & 0.5414709139161000_dp, 0.5414065560647430_dp, 0.5412946462895860_dp, 0.5411137946813080_dp, &
+         & 0.5408379165443900_dp, 0.5404363280093210_dp, 0.5398740559379011_dp, 0.5391123697547761_dp, &
+         & 0.5381095358101500_dp, 0.5368217861229000_dp, 0.5352044829359101_dp, 0.5332134487864270_dp, &
+         & 0.5308064194306890_dp, 0.5279445649783410_dp, 0.5245940142502690_dp, 0.5207273100779870_dp, &
+         & 0.5163247203405630_dp, 0.5113753320198950_dp, 0.5058778639543530_dp, 0.4998411480903260_dp, &
+         & 0.4932842479219200_dp, 0.4862362048131100_dp, 0.4787354258820220_dp, 0.4708287487733570_dp, &
+         & 0.4625702368248450_dp, 0.4540197712132400_dp, 0.4452415137565420_dp, 0.4363023150431360_dp, &
+         & 0.4272701380994590_dp, 0.4182125590501610_dp, 0.4091953946159630_dp, 0.4002814932960350_dp, &
+         & 0.3915297139894990_dp, 0.3829941036178610_dp, 0.3747232746878810_dp, 0.3667599750383350_dp, &
+         & 0.3591408353615290_dp, 0.3518962754301640_dp, 0.3450505471329990_dp, 0.3386218912196880_dp, &
+         & 0.3326227848360620_dp, 0.3270602582414740_dp, 0.3219362612765760_dp, 0.3172480629310430_dp, &
+         & 0.3129886704828240_dp, 0.3091472579005480_dp, 0.3057095962952590_dp, 0.3026584819814100_dp, &
+         & 0.2999741600039840_dp, 0.2976347426958910_dp, 0.2956166238731440_dp, 0.2938948896408820_dp, &
+         & 0.2924437264941840_dp, 0.2912368265307630_dp, 0.2902477882671950_dp, 0.2894505099164210_dp, &
+         & 0.2888195702270620_dp, 0.2883305902949050_dp, 0.2879605683312150_dp, 0.2876881783820270_dp, &
+         & 0.2874940235858360_dp, 0.2873608348193530_dp, 0.2872736065490780_dp, 0.2872196633487080_dp, &
+         & 0.2871886527621970_dp, 0.2871724628466270_dp, 0.2871650656330330_dp, 0.2871622906978220_dp, &
+         & 0.2871615358495630_dp, 0.2871614244356240_dp, 0.2871614157417780_dp, 0.2871612583258240_dp, &
+         & 0.2871601918103440_dp, 0.2871562712010840_dp, 0.2871458204072330_dp, 0.2871229496636540_dp, &
+         & 0.2870791516115640_dp, 0.2870029931842740_dp, 0.2868799190493260_dp, 0.2866921806863160_dp, &
+         & 0.2864189030671010_dp, 0.2860362981356420_dp, 0.2855180306368230_dp, 0.2848357371235010_dp, &
+         & 0.2839596930746500_dp, 0.2828596160273240_dp, 0.2815055846717910_dp, 0.2798690454237370_dp, &
+         & 0.2779238696982990_dp, 0.2756474177827930_dp, 0.2730215597268850_dp, 0.2700336009255440_dp, &
+         & 0.2666770607722810_dp, 0.2629522573455740_dp, 0.2588666595916040_dp, 0.2544349804608570_dp, &
+         & 0.2496789990941010_dp, 0.2446271162169890_dp, 0.2393136629777790_dp, 0.2337779981003790_dp, &
+         & 0.2280634401348750_dp, 0.2222160897907630_dp, 0.2162836012720960_dp, 0.2103139610902360_dp, &
+         & 0.2043543283425180_dp, 0.1984499825948800_dp, 0.1926434152389480_dp, 0.1869735885617840_dp, &
+         & 0.1814753748405170_dp, 0.1761791765167540_dp, 0.1711107187042130_dp, 0.1662909974925810_dp, &
+         & 0.1617363620245980_dp, 0.1574587051845240_dp, 0.1534657367736970_dp, 0.1497613139336520_dp, &
+         & 0.1463458058983780_dp, 0.1432164734708010_dp, 0.1403678474992350_dp, 0.1377920946936940_dp, &
+         & 0.1354793630528090_dp, 0.1334181027198580_dp, 0.1315953610873210_dp, 0.1299970533187750_dp, &
+         & 0.1286082111200240_dp, 0.1274132135666690_dp, 0.1263960041252830_dp, 0.1255402977501490_dp, &
+         & 0.1248297811886660_dp, 0.1242483084889730_dp, 0.1237800923028940_dp, 0.1234098900484070_dp, &
+         & 0.1231231824877450_dp, 0.1229063409299580_dp, 0.1227467782121040_dp, 0.1226330779587810_dp, &
+         & 0.1225550964419850_dp, 0.1225040316912070_dp, 0.1224724553258480_dp, 0.1224543038384810_dp, &
+         & 0.1224448276446850_dp, 0.1224404980118550_dp, 0.1224388738362450_dp, 0.1224384320229030_dp, &
+         & 0.1224383668122610_dp, 0.1224383616804660_dp, 0.1224382682060820_dp, 0.1224376349045430_dp, &
+         & 0.1224353068373460_dp, 0.1224291011901220_dp, 0.1224155209180960_dp, 0.1223895155065120_dp, &
+         & 0.1223442994938750_dp, 0.1222712388446180_dp, 0.1221598145464360_dp, 0.1219976717964780_dp, &
+         & 0.1217707616302450_dp, 0.1214635796325890_dp, 0.1210595032675310_dp, 0.1205412252663360_dp, &
+         & 0.1198912754252460_dp, 0.1190926172510420_dp, 0.1181292994956070_dp, 0.1169871362628640_dp, &
+         & 0.1156543837275450_dp, 0.1141223773326910_dp, 0.1123860913826890_dp, 0.1104445838410870_dp, &
+         & 0.1083012932534330_dp, 0.1059641620698100_dp, 0.1034455708578010_dp, 0.1007620801874370_dp, &
+         & 0.0979339902122121_dp, 0.0949847408398057_dp, 0.0919401865341456_dp, 0.0888277880322335_dp, &
+         & 0.0856757677581328_dp, 0.0825122760961818_dp, 0.0793646120896625_dp, 0.0762585351715899_dp, &
+         & 0.0732176951773056_dp, 0.0702631972804681_dp, 0.0674133077934300_dp, 0.0646832969932376_dp, &
+         & 0.0620854070550649_dp, 0.0596289272857007_dp, 0.0573203553231707_dp, 0.0551636216936799_dp, &
+         & 0.0531603557521976_dp, 0.0513101730964109_dp, 0.0496109675355143_dp, 0.0480591941581281_dp, &
+         & 0.0466501336154863_dp, 0.0453781311455401_dp, 0.0442368069119397_dp, 0.0432192367946840_dp, &
+         & 0.0423181047801791_dp, 0.0415258295607401_dp, 0.0408346689079337_dp, 0.0402368058972939_dp, &
+         & 0.0397244212035446_dp, 0.0392897555154548_dp, 0.0389251656897756_dp, 0.0386231776285371_dp, &
+         & 0.0383765380719865_dp, 0.0381782666082842_dp, 0.0380217082721686_dp, 0.0379005861983615_dp, &
+         & 0.0378090529792274_dp, 0.0377417387060746_dp, 0.0376937932065857_dp, 0.0376609197641358_dp, &
+         & 0.0376393976369087_dp, 0.0376260909860946_dp, 0.0376184423443249_dp, 0.0376144494588573_dp, &
+         & 0.0376126251666449_dp, 0.0376119408262241_dp, 0.0376117546704364_dp, 0.0376117271942604_dp, &
+         & 0.0376117250128800_dp, 0.0376116850360830_dp, 0.0376114141881061_dp, 0.0376104185342854_dp, &
+         & 0.0376077645785244_dp, 0.0376019569266361_dp, 0.0375908363618009_dp, 0.0375715031859301_dp, &
+         & 0.0375402706108332_dp, 0.0374926528567556_dp, 0.0374233923294724_dp, 0.0373265296682490_dp, &
+         & 0.0371955194418945_dp, 0.0370233926932997_dp, 0.0368029653155162_dp, 0.0365270883779800_dp, &
+         & 0.0361889331227871_dp, 0.0357822996397061_dp, 0.0353019345715353_dp, 0.0347438400506377_dp, &
+         & 0.0341055539408615_dp, 0.0333863808464372_dp, 0.0325875546226939_dp, 0.0317123164623609_dp, &
+         & 0.0307658979307064_dp, 0.0297554051857531_dp, 0.0286896083702146_dp, 0.0275786479238462_dp, &
+         & 0.0264336763968771_dp, 0.0252664593928671_dp, 0.0240889619131366_dp, 0.0229129463658069_dp, &
+         & 0.0217496059759128_dp, 0.0206092527800052_dp, 0.0195010734989012_dp, 0.0184329601146089_dp, &
+         & 0.0174114156440481_dp, 0.0164415300322389_dp, 0.0155270167944366_dp, 0.0146702983519162_dp, &
+         & 0.0138726269724998_dp, 0.0131342285681484_dp, 0.0124544578469568_dp, 0.0118319550069828_dp, &
+         & 0.0112647960474561_dp, 0.0107506307839031_dp, 0.0102868047371061_dp, 0.0098704630565010_dp, &
+         & 0.0094986362878160_dp, 0.0091683089335533_dp, 0.0088764723984269_dp, 0.0086201642313597_dp, &
+         & 0.0083964957476042_dp, 0.0082026702275044_dp, 0.0080359939225474_dp, 0.0078938820131214_dp, &
+         & 0.0077738614416489_dp, 0.0076735722335712_dp, 0.0075907685671126_dp, 0.0075233205021306_dp, &
+         & 0.0074692169369399_dp, 0.0074265700372251_dp, 0.0073936210681183_dp, 0.0073687472786048_dp, &
+         & 0.0073504692437325_dp, 0.0073374578913246_dp, 0.0073285403350951_dp, 0.0073227036170351_dp, &
+         & 0.0073190955281603_dp, 0.0073170218200573_dp, 0.0073159393271567_dp, 0.0073154447659505_dp, &
+         & 0.0073152592452033_dp, 0.0073152087796728_dp, 0.0073152013310818_dp, 0.0073152007343111_dp, &
+         & 0.0073151897295673_dp, 0.0073151151711528_dp, 0.0073148410916133_dp, 0.0073141105355319_dp, &
+         & 0.0073125119306781_dp, 0.0073094511747343_dp, 0.0073041308833268_dp, 0.0072955382886022_dp, &
+         & 0.0072824433072469_dp, 0.0072634082682868_dp, 0.0072368106524436_dp, 0.0072008798806849_dp, &
+         & 0.0071537486500546_dp, 0.0070935185136705_dp, 0.0070183383367208_dp, 0.0069264929803694_dp, &
+         & 0.0068164981683339_dp, 0.0066871961399073_dp, 0.0065378455858109_dp, 0.0063681987256103_dp, &
+         & 0.0061785584196485_dp, 0.0059698090505975_dp, 0.0057434165966157_dp, 0.0055013957303345_dp, &
+         & 0.0052462446564334_dp, 0.0049808513676481_dp, 0.0047083776541541_dp, 0.0044321292189977_dp, &
+         & 0.0041554214136710_dp, 0.0038814503141822_dp, 0.0036131781043309_dp, 0.0033532400432819_dp, &
+         & 0.0031038777083410_dp, 0.0028669000328137_dp, 0.0026436706335602_dp, 0.0024351177923876_dp, &
+         & 0.0022417626032194_dp, 0.0020637610733303_dp, 0.0019009563807799_dp, 0.0017529370551301_dp, &
+         & 0.0016190961515576_dp, 0.0014986864873236_dp, 0.0013908680913346_dp, 0.0012947468501068_dp, &
+         & 0.0012094061987540_dp, 0.0011339334380551_dp, 0.0010674411565930_dp, 0.0010090843955908_dp, &
+         & 0.0009580722550737_dp, 0.0009136716130911_dp, 0.0008752055101837_dp, 0.0008420515018912_dp, &
+         & 0.0008136402146874_dp, 0.0007894512914532_dp, 0.0007690077717228_dp, 0.0007518721381388_dp, &
+         & 0.0007376441790967_dp, 0.0007259585536303_dp, 0.0007164813073217_dp, 0.0007089063517327_dp, &
+         & 0.0007029529146791_dp, 0.0006983641177953_dp, 0.0006949063431705_dp, 0.0006923690344252_dp, &
+         & 0.0006905647031346_dp, 0.0006893289814940_dp, 0.0006885205801268_dp, 0.0006880210103333_dp, &
+         & 0.0006877339438773_dp, 0.0006875841089453_dp, 0.0006875156571766_dp, 0.0006874899800238_dp, &
+         & 0.0006874829953745_dp, 0.0006874819644480_dp, 0.0006874818810729_dp, 0.0006874803335677_dp, &
+         & 0.0006874698492254_dp, 0.0006874313088332_dp, 0.0006873285830693_dp, 0.0006871038150251_dp, &
+         & 0.0006866735288327_dp, 0.0006859257941727_dp, 0.0006847186965899_dp, 0.0006828803841330_dp, &
+         & 0.0006802109707138_dp, 0.0006764865645863_dp, 0.0006714656404228_dp, 0.0006648978652066_dp, &
+         & 0.0006565352864101_dp, 0.0006461454787114_dp, 0.0006335258661636_dp, 0.0006185182160152_dp, &
+         & 0.0006010225670678_dp, 0.0005810104871244_dp, 0.0005585373304768_dp, 0.0005337506872962_dp, &
+         & 0.0005068893081699_dp, 0.0004782701335841_dp, 0.0004482730084305_dp, 0.0004173350289847_dp, &
+         & 0.0003859407342617_dp, 0.0003545776274052_dp, 0.0003236837758180_dp, 0.0002936580633701_dp, &
+         & 0.0002648787873056_dp, 0.0002376472031642_dp, 0.0002121824959858_dp, 0.0001887247940431_dp, &
+         & 0.0001673979478340_dp, 0.0001481298458117_dp, 0.0001308685113912_dp, 0.0001154550045896_dp, &
+         & 1.0171198491093500e-04_dp, 8.9567932278100697e-05_dp, 7.8915705998383601e-05_dp, 6.9485117307976893e-05_dp, &
+         & 6.1586247610989604e-05_dp, 5.4771670477293803e-05_dp, 4.8462916069524902e-05_dp, 4.3295149893651803e-05_dp, &
+         & 3.9194041690393499e-05_dp, 3.5398704298472701e-05_dp, 3.1786029538238802e-05_dp, 2.8299721236635402e-05_dp, &
+         & 2.4949955317765701e-05_dp, 2.1781091120942599e-05_dp, 1.8870745662980001e-05_dp, 1.6760878153831999e-05_dp, &
+         & 1.4737931493868901e-05_dp, 1.2790930213668600e-05_dp, 1.0979209562833599e-05_dp, 9.3377774277314495e-06_dp, &
+         & 7.8766827016352198e-06_dp, 6.5841873322369801e-06_dp, 5.4399631466139900e-06_dp, 4.4277531401348799e-06_dp, &
+         & 3.5382179959242400e-06_dp, 2.7662697448249699e-06_dp, 2.1080056598066200e-06_dp, 1.5587226727120700e-06_dp, &
+         & 1.1119978751139599e-06_dp, 7.5951301425902805e-07_dp, 4.9130596835311703e-07_dp, 2.9621135411162001e-07_dp, &
+         &  1.4210854715202001e-14_dp, -1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, &
+         & 1.4210854715202001e-14_dp &
+         &]
+      case (117)
+         out = [&
+         & 117.0000000000000000_dp, 116.9999998444129972_dp, 116.9999950333470053_dp, 116.9999624376080050_dp, &
+         & 116.9998426113470060_dp, 116.9995231917749976_dp, 116.9988241155970030_dp, 116.9974851698249978_dp, &
+         & 116.9951563212679986_dp, 116.9913911809390044_dp, 116.9856438608079969_dp, 116.9772693754659940_dp, &
+         & 116.9655276363370007_dp, 116.9495909874869994_dp, 116.9285551461630064_dp, 116.9014533428290008_dp, &
+         & 116.8672734071219992_dp, 116.8249775158240027_dp, 116.7735243000160068_dp, 116.7118929892209991_dp, &
+         & 116.6391092352800030_dp, 116.5542721925099983_dp, 116.4565823222319949_dp, 116.3453692373920063_dp, &
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+         & 0.0261491800333147_dp, 0.0248752723771872_dp, 0.0237191737633253_dp, 0.0226753673262294_dp, &
+         & 0.0217377803854788_dp, 0.0208999935700689_dp, 0.0201554112253461_dp, 0.0194973953330759_dp, &
+         & 0.0189193667002456_dp, 0.0184148780891320_dp, 0.0179776643841478_dp, 0.0176016749253165_dp, &
+         & 0.0172810928853266_dp, 0.0170103461055220_dp, 0.0167841131982982_dp, 0.0165973280170988_dp, &
+         & 0.0164451848264378_dp, 0.0163231457055559_dp, 0.0162269509233397_dp, 0.0161526322626457_dp, &
+         & 0.0160965285860186_dp, 0.0160553023621333_dp, 0.0160259554468922_dp, 0.0160058421646170_dp, &
+         & 0.0159926776820924_dp, 0.0159845398073912_dp, 0.0159798626649632_dp, 0.0159774211601729_dp, &
+         & 0.0159763057043421_dp, 0.0159758872725888_dp, 0.0159757734503785_dp, 0.0159757566504908_dp, &
+         & 0.0159757553167026_dp, 0.0159757308735067_dp, 0.0159755652679934_dp, 0.0159749564958673_dp, &
+         & 0.0159733338189056_dp, 0.0159697830664811_dp, 0.0159629846229450_dp, 0.0159511673040242_dp, &
+         & 0.0159320814146611_dp, 0.0159029943426674_dp, 0.0158607119784477_dp, 0.0158016289442884_dp, &
+         & 0.0157218099326002_dp, 0.0156171032776911_dp, 0.0154832861404088_dp, 0.0153162383683849_dp, &
+         & 0.0151121393014222_dp, 0.0148676787366213_dp, 0.0145802702828348_dp, 0.0142482528547703_dp, &
+         & 0.0138710645500026_dp, 0.0134493730630680_dp, 0.0129851484365702_dp, 0.0124816674223922_dp, &
+         & 0.0119434438592947_dp, 0.0113760857804692_dp, 0.0107860867238116_dp, 0.0101805650497795_dp, &
+         & 0.0095669700942977_dp, 0.0089527769794273_dp, 0.0083451924504487_dp, 0.0077508921653617_dp, &
+         & 0.0071758057839872_dp, 0.0066249606566942_dp, 0.0061023887349876_dp, 0.0056110953738795_dp, &
+         & 0.0051530836728659_dp, 0.0047294243773166_dp, 0.0043403593309534_dp, 0.0039854259817247_dp, &
+         & 0.0036635912553180_dp, 0.0033733848614901_dp, 0.0031130243714585_dp, 0.0028805268118219_dp, &
+         & 0.0026738037537228_dp, 0.0024907387564070_dp, 0.0023292474741368_dp, 0.0021873217594219_dp, &
+         & 0.0020630597334446_dp, 0.0019546841059537_dp, 0.0018605510794174_dp, 0.0017791520390205_dp, &
+         & 0.0017091099883260_dp, 0.0016491724091026_dp, 0.0015982019375969_dp, 0.0015551659825519_dp, &
+         & 0.0015191261680769_dp, 0.0014892282708701_dp, 0.0014646931327320_dp, 0.0014448088652301_dp, &
+         & 0.0014289245164036_dp, 0.0014164452405083_dp, 0.0014068288953553_dp, 0.0013995838919243_dp, &
+         & 0.0013942680362646_dp, 0.0013904880406983_dp, 0.0013878993435838_dp, 0.0013862058661687_dp, &
+         & 0.0013851593547969_dp, 0.0013845580042755_dp, 0.0013842441291274_dp, 0.0013841007361321_dp, &
+         & 0.0013840469475923_dp, 0.0013840323160821_dp, 0.0013840301565153_dp, 0.0013840299834840_dp, &
+         & 0.0013840267928629_dp, 0.0013840051760923_dp, 0.0013839257130428_dp, 0.0013837139125599_dp, &
+         & 0.0013832504880469_dp, 0.0013823633413352_dp, 0.0013808217325675_dp, 0.0013783331592378_dp, &
+         & 0.0013745435092858_dp, 0.0013690410696512_dp, 0.0013613649372957_dp, 0.0013510182624543_dp, &
+         & 0.0013374865275466_dp, 0.0013202607141096_dp, 0.0012988647334282_dp, 0.0012728859230151_dp, &
+         & 0.0012420067986909_dp, 0.0012060356845467_dp, 0.0011649334348078_dp, 0.0011188333183441_dp, &
+         & 0.0010680513570236_dp, 0.0010130850396024_dp, 0.0009545993577404_dp, 0.0008934004228536_dp, &
+         & 0.0008303983403835_dp, 0.0007665623176365_dp, 0.0007028719487607_dp, 0.0006402690657552_dp, &
+         & 0.0005796143305332_dp, 0.0005216519577118_dp, 0.0004669849110002_dp, 0.0004160617526878_dp, &
+         & 0.0003691749153489_dp, 0.0003264689089661_dp, 0.0002879564798093_dp, 0.0002535402298918_dp, &
+         & 0.0002230362620850_dp, 0.0001961973110411_dp, 0.0001727349687286_dp, 0.0001523394325460_dp, &
+         & 1.3469430325585601e-04_dp, 1.1948884339574301e-04_dp, 1.0642996134890800e-04_dp, 9.5248174147854998e-05_dp, &
+         & 8.5696228865117505e-05_dp, 7.7550553513105997e-05_dp, 7.0616756616459497e-05_dp, 6.4727825673571701e-05_dp, &
+         & 5.9735585224984802e-05_dp, 5.5507721683056803e-05_dp, 5.1931352999190501e-05_dp, 4.8913806779182798e-05_dp, &
+         & 4.6378067580121799e-05_dp, 4.4257744349351897e-05_dp, 4.2494583141206001e-05_dp, 4.1037685733158503e-05_dp, &
+         & 3.9842925303901197e-05_dp, 3.8872064422435001e-05_dp, 3.8091759222424999e-05_dp, 3.7472713515285202e-05_dp, &
+         & 3.6989070736126498e-05_dp, 3.6617987561271500e-05_dp, 3.6339308465471697e-05_dp, 3.6135304782192199e-05_dp, &
+         & 3.5990473762126398e-05_dp, 3.5891394020382002e-05_dp, 3.5826623147272598e-05_dp, 3.5786614361654797e-05_dp, &
+         & 3.5763630279461702e-05_dp, 3.5751635451220002e-05_dp, 3.5746156001437198e-05_dp, 3.5744100657098002e-05_dp, &
+         & 3.5743541573651803e-05_dp, 3.5743459065429299e-05_dp, 3.5743452329484198e-05_dp, 3.5743327032378100e-05_dp, &
+         & 3.5742478004863201e-05_dp, 3.5739357102215797e-05_dp, 3.5731039673692100e-05_dp, 3.5712845999569301e-05_dp, &
+         & 3.5678036539366103e-05_dp, 3.5617606627624803e-05_dp, 3.5520210488471100e-05_dp, 3.5372245534404101e-05_dp, &
+         & 3.5158123765199903e-05_dp, 3.4860749465792698e-05_dp, 3.4462210052765800e-05_dp, 3.3944652386708199e-05_dp, &
+         & 3.3291196757545502e-05_dp, 3.2486504153439502e-05_dp, 3.1516609553250398e-05_dp, 3.0368879109232701e-05_dp, &
+         & 2.9035940983135299e-05_dp, 2.7528884999128399e-05_dp, 2.5895065448366899e-05_dp, 2.4203517554610698e-05_dp, &
+         & 2.2463316597054499e-05_dp, 2.0589791930092401e-05_dp, 1.8527182902516900e-05_dp, 1.6466036726114901e-05_dp, &
+         & 1.4825380802108201e-05_dp, 1.3281272899234899e-05_dp, 1.1425582144397600e-05_dp, 9.4960770979923803e-06_dp, &
+         & 8.6753598509403707e-06_dp, 7.6429727613458504e-06_dp, 6.0065691087629602e-06_dp, 5.0830863358442002e-06_dp, &
+         & 4.6355461478242398e-06_dp, 3.2576400030848201e-06_dp, 5.8365293398310297e-06_dp, 9.9843991705483893e-06_dp, &
+         & 1.3407594920522600e-05_dp, 1.5438065901207699e-05_dp, 1.5886779266338601e-05_dp, 1.4955949495742999e-05_dp, &
+         & 1.3108284534268900e-05_dp, 1.0872499686343000e-05_dp, 8.6618900496660007e-06_dp, 6.6794337527653599e-06_dp, &
+         & 4.9432708379981696e-06_dp, 3.3966468606649899e-06_dp, 2.0296064349167902e-06_dp, 1.1247518898471800e-06_dp, &
+         & 1.1829112338546100e-06_dp, 1.1468032994344000e-06_dp, 7.8104420708768895e-07_dp, 1.4210854715202001e-14_dp, &
+         & 7.2795950245563301e-07_dp, 9.5321256310398905e-07_dp, 9.7814873356583100e-07_dp, 8.7107090962490496e-07_dp, &
+         & 6.9085206177987899e-07_dp, 4.8564820076535398e-07_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 1.4210854715202001e-14_dp, 1.4210854715202001e-14_dp, &
+         & 1.4210854715202001e-14_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 1.4210854715202001e-14_dp, &
+         & 0.0000000000000000_dp &
+         &]
+      case (118)
+         out = [&
+         & 118.0000000000000000_dp, 117.9999998425829943_dp, 117.9999949749259969_dp, 117.9999619957799979_dp, &
+         & 117.9998407600580066_dp, 117.9995175832939935_dp, 117.9988102841410011_dp, 117.9974555886639962_dp, &
+         & 117.9950993458409982_dp, 117.9912899146259946_dp, 117.9854749828689933_dp, 117.9770019723439987_dp, &
+         & 117.9651220779850007_dp, 117.9489978898679965_dp, 117.9277144598009954_dp, 117.9002936056359943_dp, &
+         & 117.8657111979890004_dp, 117.8229171439260057_dp, 117.7708577634609952_dp, 117.7085002352110052_dp, &
+         & 117.6348587516859965_dp, 117.5490219566229939_dp, 117.4501811251160035_dp, 117.3376583906400015_dp, &
+         & 117.2109341337779966_dp, 117.0696724534849977_dp, 116.9137434836540024_dp, 116.7432412417790033_dp, &
+         & 116.5584957436749960_dp, 116.3600783131950038_dp, 116.1487993578240037_dp, 115.9256983400269974_dp, &
+         & 115.6920261953870011_dp, 115.4492209618409930_dp, 115.1988778196050021_dp, 114.9427150428989961_dp, &
+         & 114.6825375017470066_dp, 114.4201993244259938_dp, 114.1575671645349956_dp, 113.8964852559820002_dp, &
+         & 113.6387431361080047_dp, 113.3860466194419985_dp, 113.1399923479589944_dp, 112.9020460479769952_dp, &
+         & 112.6735244933710050_dp, 112.4555811017140030_dp, 112.2491950595569961_dp, 112.0551638681139934_dp, &
+         & 111.8740992059420023_dp, 111.7064260091139971_dp, 111.5523846651459934_dp, 111.4120362016909951_dp, &
+         & 111.2852703250050013_dp, 111.1718161284560011_dp, 111.0712552506559945_dp, 110.9830372188710044_dp, &
+         & 110.9064966688099929_dp, 110.8408720887150025_dp, 110.7853256959100037_dp, 110.7389640192500053_dp, &
+         & 110.7008587331429936_dp, 110.6700672697450045_dp, 110.6456527274950048_dp, 110.6267025979630034_dp, &
+         & 110.6123458505999935_dp, 110.6017679472810045_dp, 110.5942234059090055_dp, 110.5890455942709991_dp, &
+         & 110.5856535106020004_dp, 110.5835553935880000_dp, 110.5823490990629949_dp, 110.5817192797779995_dp, &
+         & 110.5814315044750060_dp, 110.5813235491069975_dp, 110.5812941825419955_dp, 110.5812898480960058_dp, &
+         & 110.5812892795079989_dp, 110.5812760320909973_dp, 110.5811862788840045_dp, 110.5808563364739996_dp, &
+         & 110.5799768301610015_dp, 110.5780520471000017_dp, 110.5743658380740015_dp, 110.5679554294510041_dp, &
+         & 110.5575943427460004_dp, 110.5417854282730019_dp, 110.5187647968189992_dp, 110.4865171719019941_dp, &
+         & 110.4428028775819968_dp, 110.3851963169749979_dp, 110.3111353834340065_dp, 110.2179807856579998_dp, &
+         & 110.1030837759330012_dp, 109.9638602754479990_dp, 109.7978689324580017_dp, 109.6028902778270009_dp, &
+         & 109.3770039101940057_dp, 109.1186605918930042_dp, 108.8267462828499959_dp, 108.5006354587989961_dp, &
+         & 108.1402314839189955_dp, 107.7459922441299938_dp, 107.3189396286190060_dp, 106.8606517996079930_dp, &
+         & 106.3732376774949984_dp, 105.8592939495780030_dp, 105.3218463642720053_dp, 104.7642789416070030_dp, &
+         & 104.1902563854110042_dp, 103.6036455476569955_dp, 103.0084407339749930_dp, 102.4086952731509967_dp, &
+         & 101.8084592080780055_dp, 101.2117213801769964_dp, 100.6223540754880048_dp, 100.0440594226059972_dp, &
+         & 99.4803180819155983_dp, 98.9343417522026982_dp, 98.4090313515766013_dp, 97.9069424763953009_dp, &
+         & 97.4302591562177014_dp, 96.9807762637879023_dp, 96.5598903831285043_dp, 96.1685985632711038_dp, &
+         & 95.8075041917318941_dp, 95.4768291706510013_dp, 95.1764316164921951_dp, 94.9058283828182994_dp, &
+         & 94.6642217889057065_dp, 94.4505300025378034_dp, 94.2634205624859050_dp, 94.1013465324102043_dp, &
+         & 93.9625847558797034_dp, 93.8452756376299959_dp, 93.7474638163809999_dp, 93.6671390277617064_dp, &
+         & 93.6022763907748043_dp, 93.5508752964867938_dp, 93.5109960416265977_dp, 93.4807933400208952_dp, &
+         & 93.4585458673905976_dp, 93.4426810540796993_dp, 93.4317944374089961_dp, 93.4246630193574958_dp, &
+         & 93.4202522421523014_dp, 93.4177163874083050_dp, 93.4163924148925986_dp, 93.4157874745657040_dp, &
+         & 93.4155605395369975_dp, 93.4154988076098931_dp, 93.4154896961031938_dp, 93.4154888917306039_dp, &
+         & 93.4154731304458039_dp, 93.4153663454166008_dp, 93.4149737922688956_dp, 93.4139273890540949_dp, &
+         & 93.4116373579193038_dp, 93.4072516617112996_dp, 93.3996248596723007_dp, 93.3872978136779039_dp, &
+         & 93.3684894525597002_dp, 93.3411015410608940_dp, 93.3027370936589051_dp, 93.2507327131530985_dp, &
+         & 93.1822047129307975_dp, 93.0941083983977933_dp, 92.9833093430039952_dp, 92.8466649133293060_dp, &
+         & 92.6811137028454937_dp, 92.4837699635933035_dp, 92.2520196271631931_dp, 91.9836141351383958_dp, &
+         & 91.6767581091709047_dp, 91.3301869297488054_dp, 90.9432305922715045_dp, 90.5158607756567051_dp, &
+         & 90.0487188650058954_dp, 89.5431236505753958_dp, 89.0010584813712029_dp, 88.4251386660280048_dp, &
+         & 87.8185607786934952_dp, 87.1850361779418961_dp, 86.5287114823286032_dp, 85.8540790302269983_dp, &
+         & 85.1658805727442996_dp, 84.4690076591391943_dp, 83.7684023378395040_dp, 83.0689617867916041_dp, &
+         & 82.3754501573507980_dp, 81.6924202040328993_dp, 81.0241462721435965_dp, 80.3745691542407030_dp, &
+         & 79.7472524574553034_dp, 79.1453496038206055_dp, 78.5715804205739943_dp, 78.0282163543731997_dp, &
+         & 77.5170735136113933_dp, 77.0395128931976956_dp, 76.5964472176253963_dp, 76.1883538561791056_dp, &
+         & 75.8152932497137044_dp, 75.4769322727061933_dp, 75.1725719550308042_dp, 74.9011790076288975_dp, &
+         & 74.6614206266181952_dp, 74.4517020786772008_dp, 74.2702065847796007_dp, 74.1149370114702037_dp, &
+         & 73.9837588458827042_dp, 73.8744438746161052_dp, 73.7847139135619017_dp, 73.7122838550210986_dp, &
+         & 73.6549032210161982_dp, 73.6103953492661987_dp, 73.5766933020400984_dp, 73.5518715875985976_dp, &
+         & 73.5341728261989971_dp, 73.5220285813482946_dp, 73.5140737120443930_dp, 73.5091537790983978_dp, &
+         & 73.5063252506174933_dp, 73.5048484877141988_dp, 73.5041737388641963_dp, 73.5039206166799062_dp, &
+         & 73.5038517612522071_dp, 73.5038415983332953_dp, 73.5038407831414986_dp, 73.5038257387181062_dp, &
+         & 73.5037238105396966_dp, 73.5033491118269069_dp, 73.5023503030368062_dp, 73.5001644364986930_dp, &
+         & 73.4959782485075976_dp, 73.4886984572781046_dp, 73.4769324459074937_dp, 73.4589805008880035_dp, &
+         & 73.4328405323239934_dp, 73.3962259130436934_dp, 73.3465967310263949_dp, 73.2812043459051949_dp, &
+         & 73.1971486736093055_dp, 73.0914470989991969_dp, 72.9611133499906970_dp, 72.8032440845376954_dp, &
+         & 72.6151103809548033_dp, 72.3942508279072996_dp, 72.1385625328945963_dp, 71.8463861561173047_dp, &
+         & 71.5165810719147004_dp, 71.1485869911739996_dp, 70.7424688563521045_dp, 70.2989425368524934_dp, &
+         & 69.8193797757865013_dp, 69.3057919170878023_dp, 68.7607931003632018_dp, 68.1875447555152050_dp, &
+         & 67.5896842512393050_dp, 66.9712413396751032_dp, 66.3365464998025942_dp, 65.6901353620646944_dp, &
+         & 65.0366531053892061_dp, 64.3807621326767929_dp, 63.7270555829108005_dp, 63.0799784774064989_dp, &
+         & 62.4437576499027003_dp, 61.8223411405166985_dp, 61.2193474346457975_dp, 60.6380247361058977_dp, &
+         & 60.0812202969579019_dp, 59.5513596243307006_dp, 59.0504351333811996_dp, 58.5800035470433968_dp, &
+         & 58.1411911123445009_dp, 57.7347055590321006_dp, 57.3608536920310002_dp, 57.0195635766541002_dp, &
+         & 56.7104104137755982_dp, 56.4326453721399020_dp, 56.1852268112323969_dp, 55.9668534656747028_dp, &
+         & 55.7759992573879018_dp, 55.6109494506182997_dp, 55.4698378694684990_dp, 55.3506848637552977_dp, &
+         & 55.2514356450063033_dp, 55.1699985298903997_dp, 55.1042825340949989_dp, 55.0522336671076005_dp, &
+         & 55.0118691991733968_dp, 54.9813091170064965_dp, 54.9588039642662025_dp, 54.9427582836872972_dp, &
+         & 54.9317489441594020_dp, 54.9245377484254007_dp, 54.9200778718698004_dp, 54.9175138729259018_dp, &
+         & 54.9161752306960977_dp, 54.9155635931576001_dp, 54.9153341466638025_dp, 54.9152717316411980_dp, &
+         & 54.9152625193141972_dp, 54.9152618087709001_dp, 54.9152490496943031_dp, 54.9151626050862021_dp, &
+         & 54.9148448257606034_dp, 54.9139977442738996_dp, 54.9121439348839999_dp, 54.9085936977317033_dp, &
+         & 54.9024198981808027_dp, 54.8924416455471018_dp, 54.8772178241936004_dp, 54.8550512876897969_dp, &
+         & 54.8240042846482964_dp, 54.7819253937605026_dp, 54.7264878981871021_dp, 54.6552391230873980_dp, &
+         & 54.5656597990785031_dp, 54.4552320123798026_dp, 54.3215137833282995_dp, 54.1622178131936991_dp, &
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+         & 1.0942796767303899_dp, 1.0731143515886099_dp, 1.0529742051417199_dp, 1.0339240132684000_dp, &
+         & 1.0160113333701299_dp, 0.9992676648241600_dp, 0.9837097446229000_dp, 0.9693409012409260_dp, &
+         & 0.9561524086529690_dp, 0.9441248005591800_dp, 0.9332291210080110_dp, 0.9234281010210310_dp, &
+         & 0.9146772612266290_dp, 0.9069259479168320_dp, 0.9001183145518470_dp, 0.8941942628648860_dp, &
+         & 0.8890903577013201_dp, 0.8847407279164090_dp, 0.8810779623968300_dp, 0.8780340059052070_dp, &
+         & 0.8755410543295600_dp, 0.8735324434237129_dp, 0.8719435196490650_dp, 0.8707124766942510_dp, &
+         & 0.8697811370714130_dp, 0.8690956552596130_dp, 0.8686071175065710_dp, 0.8682720138319550_dp, &
+         & 0.8680525600745740_dp, 0.8679168519220610_dp, 0.8678388385110910_dp, 0.8677981100174610_dp, &
+         & 0.8677795011833640_dp, 0.8677725204240400_dp, 0.8677706214936050_dp, 0.8677703412156600_dp, &
+         & 0.8677703196852919_dp, 0.8677699342021010_dp, 0.8677673224997871_dp, 0.8677577216515000_dp, &
+         & 0.8677321296651290_dp, 0.8676761240059530_dp, 0.8675688732775910_dp, 0.8673823846646940_dp, &
+         & 0.8670810266678330_dp, 0.8666213629160640_dp, 0.8659523279329160_dp, 0.8650157690116630_dp, &
+         & 0.8637473691454570_dp, 0.8620779536636010_dp, 0.8599351675070470_dp, 0.8572454910176790_dp, &
+         & 0.8539365403600530_dp, 0.8499395755489590_dp, 0.8451921164815700_dp, 0.8396405478736000_dp, &
+         & 0.8332425803549910_dp, 0.8259694298685361_dp, 0.8178075830423380_dp, 0.8087600334425390_dp, &
+         & 0.7988469022084390_dp, 0.7881053946044150_dp, 0.7765890880638580_dp, 0.7643665928447380_dp, &
+         & 0.7515196684903170_dp, 0.7381409132584760_dp, 0.7243311659917140_dp, 0.7101967686523100_dp, &
+         & 0.6958468329547860_dp, 0.6813906380119050_dp, 0.6669352608503660_dp, 0.6525835119495440_dp, &
+         & 0.6384322175106120_dp, 0.6245708622784319_dp, 0.6110805837214880_dp, 0.5980334913936790_dp, &
+         & 0.5854922744856740_dp, 0.5735100552638100_dp, 0.5621304451707940_dp, 0.5513877625544690_dp, &
+         & 0.5413073751136470_dp, 0.5319061352456060_dp, 0.5231928818613200_dp, 0.5151689874744531_dp, &
+         & 0.5078289342236960_dp, 0.5011609068472610_dp, 0.4951473944373390_dp, 0.4897657960276550_dp, &
+         & 0.4849890276748710_dp, 0.4807861306333050_dp, 0.4771228814446720_dp, 0.4739624052335930_dp, &
+         & 0.4712657932018660_dp, 0.4689927242854000_dp, 0.4671020892583190_dp, 0.4655526133783920_dp, &
+         & 0.4643034711582030_dp, 0.4633148842514740_dp, 0.4625486910216240_dp, 0.4619688743779590_dp, &
+         & 0.4615420331656570_dp, 0.4612377819802450_dp, 0.4610290648743390_dp, 0.4608923700819640_dp, &
+         & 0.4608078355488350_dp, 0.4607592385910240_dp, 0.4607338671808780_dp, 0.4607222749067860_dp, &
+         & 0.4607179262660140_dp, 0.4607167433323270_dp, 0.4607165687338720_dp, 0.4607165552192500_dp, &
+         & 0.4607163119182900_dp, 0.4607146635199940_dp, 0.4607086038536750_dp, 0.4606924511634820_dp, &
+         & 0.4606571021844560_dp, 0.4605894076817520_dp, 0.4604716958260440_dp, 0.4602814675472470_dp, &
+         & 0.4599912853394560_dp, 0.4595688736410180_dp, 0.4589774445605460_dp, 0.4581762570307290_dp, &
+         & 0.4571214101539030_dp, 0.4557668624121900_dp, 0.4540656576146060_dp, 0.4519713263050140_dp, &
+         & 0.4494394185492180_dp, 0.4464291115765210_dp, 0.4429048249500200_dp, 0.4388377681830060_dp, &
+         & 0.4342073423411250_dp, 0.4290023192029510_dp, 0.4232217295167260_dp, 0.4168754056238130_dp, &
+         & 0.4099841423292080_dp, 0.4025794618299020_dp, 0.3947029917546840_dp, 0.3864054877519290_dp, &
+         & 0.3777455515691770_dp, 0.3687881106243790_dp, 0.3596027347163900_dp, 0.3502618694613200_dp, &
+         & 0.3408390645834770_dp, 0.3314072690719600_dp, 0.3220372554586110_dp, 0.3127962231877180_dp, &
+         & 0.3037466173356340_dp, 0.2949451848072190_dp, 0.2864422764716610_dp, 0.2782813912439220_dp, &
+         & 0.2704989474613910_dp, 0.2631242584685790_dp, 0.2561796833607130_dp, 0.2496809204136670_dp, &
+         & 0.2436374097311360_dp, 0.2380528127993670_dp, 0.2329255395503370_dp, 0.2282492977226550_dp, &
+         & 0.2240136442684250_dp, 0.2202045238069990_dp, 0.2168047842445160_dp, 0.2137946643166940_dp, &
+         & 0.2111522517079150_dp, 0.2088539133814890_dp, 0.2068747017312520_dp, 0.2051887411239760_dp, &
+         & 0.2037695993989100_dp, 0.2025906480373580_dp, 0.2016254131813610_dp, 0.2008479176598290_dp, &
+         & 0.2002330119125450_dp, 0.1997566894279000_dp, 0.1993963802696190_dp, 0.1991312146864170_dp, &
+         & 0.1989422478488760_dp, 0.1988126365696130_dp, 0.1987277594794530_dp, 0.1986752735340930_dp, &
+         & 0.1986451018122040_dp, 0.1986293501751530_dp, 0.1986221532866920_dp, 0.1986194535120230_dp, &
+         & 0.1986187191103570_dp, 0.1986186107143060_dp, 0.1986186022559480_dp, 0.1986184491039890_dp, &
+         & 0.1986174114783240_dp, 0.1986135970790030_dp, 0.1986034294631200_dp, 0.1985811787580760_dp, &
+         & 0.1985385693439240_dp, 0.1984644816921130_dp, 0.1983447644817890_dp, 0.1981621717974780_dp, &
+         & 0.1978964384307460_dp, 0.1975245037816220_dp, 0.1970208912921690_dp, 0.1963582454922910_dp, &
+         & 0.1955080224446420_dp, 0.1944413216628360_dp, 0.1931298386778340_dp, 0.1915469078303430_dp, &
+         & 0.1896685953080490_dp, 0.1874747938707630_dp, 0.1849502641791220_dp, 0.1820855642249910_dp, &
+         & 0.1788778089538280_dp, 0.1753312073572180_dp, 0.1714573342244280_dp, 0.1672751079729550_dp, &
+         & 0.1628104635684480_dp, 0.1580957290641150_dp, 0.1531687339767840_dp, 0.1480716956875770_dp, &
+         & 0.1428499445502640_dp, 0.1375505579942030_dp, 0.1322209777422500_dp, 0.1269076821023700_dp, &
+         & 0.1216549775706140_dp, 0.1165039617334140_dp, 0.1114916941285880_dp, 0.1066505949887500_dp, &
+         & 0.1020080753090720_dp, 0.0975863869171008_dp, 0.0934026692885226_dp, 0.0894691614153516_dp, &
+         & 0.0857935422933025_dp, 0.0823793623310820_dp, 0.0792265296499437_dp, 0.0763318191155946_dp, &
+         & 0.0736893772490248_dp, 0.0712912021817544_dp, 0.0691275839406984_dp, 0.0671874961010985_dp, &
+         & 0.0654589348980892_dp, 0.0639292060492522_dp, 0.0625851627328160_dp, 0.0614134004063942_dp, &
+         & 0.0604004155140103_dp, 0.0595327357183635_dp, 0.0587970292245785_dp, 0.0581802001434681_dp, &
+         & 0.0576694757884155_dp, 0.0572524904203249_dp, 0.0569173683626332_dp, 0.0566528077222870_dp, &
+         & 0.0564481642888239_dp, 0.0562935336687076_dp, 0.0561798284518744_dp, 0.0560988463059999_dp, &
+         & 0.0560433244191643_dp, 0.0560069757010382_dp, 0.0559845026023282_dp, 0.0559715852748752_dp, &
+         & 0.0559648419830552_dp, 0.0559617610811358_dp, 0.0559606053549402_dp, 0.0559602909718961_dp, &
+         & 0.0559602445697038_dp, 0.0559602409180684_dp, 0.0559601744041913_dp, 0.0559597237642180_dp, &
+         & 0.0559580671848323_dp, 0.0559536515118708_dp, 0.0559439887291830_dp, 0.0559254864462702_dp, &
+         & 0.0558933205268346_dp, 0.0558413579036738_dp, 0.0557621374518078_dp, 0.0556469163499145_dp, &
+         & 0.0554857884235105_dp, 0.0552678792908949_dp, 0.0549816205083715_dp, 0.0546151011966742_dp, &
+         & 0.0541564908168368_dp, 0.0535945210215374_dp, 0.0529190082103241_dp, 0.0521213921525145_dp, &
+         & 0.0511952605698127_dp, 0.0501368257487371_dp, 0.0489453179158801_dp, 0.0476232619261907_dp, &
+         & 0.0461766091335392_dp, 0.0446147050511883_dp, 0.0429500849821949_dp, 0.0411981031392799_dp, &
+         & 0.0393764144584026_dp, 0.0375043407304076_dp, 0.0356021623027516_dp, 0.0336903822235257_dp, &
+         & 0.0317890106326928_dp, 0.0299169134331549_dp, 0.0280912614329054_dp, 0.0263271054191421_dp, &
+         & 0.0246370904763467_dp, 0.0230313108037166_dp, 0.0215172956128242_dp, 0.0201001083403725_dp, &
+         & 0.0187825359153067_dp, 0.0175653422930822_dp, 0.0164475606685244_dp, 0.0154268011539642_dp, &
+         & 0.0144995545380624_dp, 0.0136614772633976_dp, 0.0129076473386078_dp, 0.0122327850938717_dp, &
+         & 0.0116314362599610_dp, 0.0110981177034262_dp, 0.0106274282671706_dp, 0.0102141285756687_dp, &
+         & 0.0098531944404385_dp, 0.0095398487629410_dp, 0.0092695767222040_dp, 0.0090381286867540_dp, &
+         & 0.0088415148134828_dp, 0.0086759947493391_dp, 0.0085380652751326_dp, 0.0084244481365090_dp, &
+         & 0.0083320797113942_dp, 0.0082581035780436_dp, 0.0081998664845173_dp, 0.0081549176980929_dp, &
+         & 0.0081210112463594_dp, 0.0080961101733550_dp, 0.0080783916425986_dp, 0.0080662515411945_dp, &
+         & 0.0080583071917317_dp, 0.0080533968558427_dp, 0.0080505749138524_dp, 0.0080491018997435_dp, &
+         & 0.0080484289345577_dp, 0.0080481764929488_dp, 0.0080481078237398_dp, 0.0080480976883308_dp, &
+         & 0.0080480968836838_dp, 0.0080480821370372_dp, 0.0080479822269979_dp, 0.0080476149555580_dp, &
+         & 0.0080466360094533_dp, 0.0080444939383142_dp, 0.0080403928743067_dp, 0.0080332650263557_dp, &
+         & 0.0080217550928268_dp, 0.0080042188311324_dp, 0.0079787380295215_dp, 0.0079431539548125_dp, &
+         & 0.0078951208984393_dp, 0.0078321806261386_dp, 0.0077518572922628_dp, 0.0076517707099555_dp, &
+         & 0.0075297638485381_dp, 0.0073840382297590_dp, 0.0072132887825092_dp, 0.0070168280252147_dp, &
+         & 0.0067946885440051_dp, 0.0065476929519264_dp, 0.0062774820624440_dp, 0.0059864949218849_dp, &
+         & 0.0056778984210837_dp, 0.0053554690170898_dp, 0.0050234340225046_dp, 0.0046862842535233_dp, &
+         & 0.0043485728852772_dp, 0.0040147166347850_dp, 0.0036888146710083_dp, 0.0033744980943737_dp, &
+         & 0.0030748189413004_dp, 0.0027921831551083_dp, 0.0025283275093671_dp, 0.0022843365823775_dp, &
+         & 0.0020606928516145_dp, 0.0018573509866400_dp, 0.0016738266410101_dp, 0.0015092905712493_dp, &
+         & 0.0013626605789341_dp, 0.0012326860407370_dp, 0.0011180219377849_dp, 0.0010172908176998_dp, &
+         & 0.0009291320317999_dp, 0.0008522382739216_dp, 0.0007853802518554_dp, 0.0007274212006081_dp, &
+         & 0.0006773235405007_dp, 0.0006341499962588_dp, 0.0005970610046688_dp, 0.0005653095989828_dp, &
+         & 0.0005382345021445_dp, 0.0005152520147362_dp, 0.0004958473225827_dp, 0.0004795658556986_dp, &
+         & 0.0004660052021990_dp, 0.0004548078817237_dp, 0.0004456551030501_dp, 0.0004382615206708_dp, &
+         & 0.0004323709487579_dp, 0.0004277529687897_dp, 0.0004242003530379_dp, 0.0004215272078199_dp, &
+         & 0.0004195677141468_dp, 0.0004181753184724_dp, 0.0004172222083554_dp, 0.0004165989036125_dp, &
+         & 0.0004162138024100_dp, 0.0004159925416189_dp, 0.0004158770624372_dp, 0.0004158243079218_dp, &
+         & 0.0004158045193350_dp, 0.0004157991364764_dp, 0.0004157983419901_dp, 0.0004157982783397_dp, &
+         & 0.0004157971046652_dp, 0.0004157891527967_dp, 0.0004157599220207_dp, 0.0004156820122461_dp, &
+         & 0.0004155115527027_dp, 0.0004151852713790_dp, 0.0004146183941032_dp, 0.0004137035877818_dp, &
+         & 0.0004123111837089_dp, 0.0004102909304180_dp, 0.0004074755108263_dp, 0.0004036860101166_dp, &
+         & 0.0003987394161697_dp, 0.0003924580753960_dp, 0.0003846808042880_dp, 0.0003752750925230_dp, &
+         & 0.0003641495492275_dp, 0.0003512654927960_dp, 0.0003366464225252_dp, 0.0003203840973072_dp, &
+         & 0.0003026401220296_dp, 0.0002836423257975_dp, 0.0002636758003121_dp, 0.0002430691812094_dp, &
+         & 0.0002221774092277_dp, 0.0002013625749271_dp, 0.0001809744956773_dp, 0.0001613325775054_dp, &
+         & 1.4271033923307600e-04_dp, 1.2532373756357599e-04_dp, 1.0932445911748800e-04_dp, 9.4799449001925495e-05_dp, &
+         & 8.1776764162100294e-05_dp, 7.0235678037988705e-05_dp, 6.0118260506669699e-05_dp, 5.1339648010184599e-05_dp, &
+         & 4.3794148609776999e-05_dp, 3.7359074056553302e-05_dp, 3.1902498278668598e-05_dp, 2.7293611793766100e-05_dp, &
+         & 2.3410731571971199e-05_dp, 2.0149972542071700e-05_dp, 1.7429172388005999e-05_dp, 1.5176281422668601e-05_dp, &
+         & 1.3317730974904400e-05_dp, 1.1781596001014800e-05_dp, 1.0502495157993499e-05_dp, 9.4285481537781396e-06_dp, &
+         & 8.5301809633619996e-06_dp, 7.7842551178264296e-06_dp, 7.1519236399808497e-06_dp, 6.6005488861264902e-06_dp, &
+         & 6.1385887448750501e-06_dp, 5.7955440411205902e-06_dp, 5.5673049956794801e-06_dp, 5.4071538642119802e-06_dp, &
+         & 5.2677798976219501e-06_dp, 5.1300781649388202e-06_dp, 4.9978841332176697e-06_dp, 4.8813713533490997e-06_dp, &
+         & 4.7867697645642701e-06_dp, 4.7145970825113198e-06_dp, 4.6619015137139303e-06_dp, 4.6246624521018004e-06_dp, &
+         & 4.5990956039077000e-06_dp, 4.5820822691666797e-06_dp, 4.5711878300380704e-06_dp, 4.5645530235560702e-06_dp, &
+         & 4.5607752099385800e-06_dp, 4.5588136146079697e-06_dp, 4.5579198229006596e-06_dp, 4.5575849298984403e-06_dp, &
+         & 4.5574938809522800e-06_dp, 4.5574804232728596e-06_dp, 4.5574792437719199e-06_dp, 4.5574561937655702e-06_dp, &
+         & 4.5573001301590904e-06_dp, 4.5567263668999700e-06_dp, 4.5551969520829499e-06_dp, 4.5518501536889702e-06_dp, &
+         & 4.5454416977008796e-06_dp, 4.5343025334432199e-06_dp, 4.5163210415921597e-06_dp, 4.4889735448805402e-06_dp, &
+         & 4.4494676103568096e-06_dp, 4.3951478687631598e-06_dp, 4.3244283176591100e-06_dp, 4.2384553324836799e-06_dp, &
+         & 4.1429034780549003e-06_dp, 4.0471667261954297e-06_dp, 3.9564359326504902e-06_dp, 3.8575094123416403e-06_dp, &
+         & 3.7140923865308701e-06_dp, 3.4921709755053598e-06_dp, 3.2124948745604300e-06_dp, 2.9734900692801598e-06_dp, &
+         & 2.8251042465399202e-06_dp, 2.6167984117364502e-06_dp, 2.1888084944521299e-06_dp, 1.7964081422405800e-06_dp, &
+         & 1.9742465582339702e-06_dp, 2.0688949433633799e-06_dp, 1.5728956697103100e-06_dp, 1.2307683476819900e-06_dp, &
+         & 1.8897238760473600e-06_dp, 1.8324535062674800e-06_dp, 7.2753263680169798e-07_dp, 1.5793180949685799e-06_dp, &
+         & 1.8671008348292200e-06_dp, 9.2016907160541503e-07_dp, 3.5389784613926201e-06_dp, 5.7552407213279400e-06_dp, &
+         & 7.1537430699208901e-06_dp, 7.5274118103152398e-06_dp, 6.9220295983995996e-06_dp, 5.6231859844047003e-06_dp, &
+         & 4.0863298806925698e-06_dp, 2.7797161408216202e-06_dp, 1.7815217177030701e-06_dp, 1.5360869980440801e-06_dp, &
+         & 2.5673725048136501e-06_dp, 3.3070146940872300e-06_dp, 3.4797437962197402e-06_dp, 3.1092310734948102e-06_dp, &
+         & 2.3404976587926302e-06_dp, 1.3581478555124700e-06_dp, 0.0000000000000000e+00_dp, 8.6837428625585702e-07_dp, &
+         & 1.0437429835974401e-06_dp, 1.0020755780715301e-06_dp, 8.8057399239005505e-07_dp, 7.4956402329462403e-07_dp, &
+         & 6.4143900146973497e-07_dp, 5.7111610374249700e-07_dp, 5.3126963450722500e-07_dp, 4.9713416672148004e-07_dp, &
+         & 4.5119374192381698e-07_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, 0.0000000000000000e+00_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, 0.0000000000000000_dp, &
+         & 0.0000000000000000_dp &
+         &]
+
+      case default
+         call error("Bad atomic number supplied!")
+      end select
+
+   end subroutine get_sap_data
+
+end module sap
+
diff --git a/slateratom/lib/utilities.f90 b/slateratom/lib/utilities.f90
index 1b1f8a66..86116852 100644
--- a/slateratom/lib/utilities.f90
+++ b/slateratom/lib/utilities.f90
@@ -6,7 +6,7 @@ module utilities
   implicit none
   private
 
-  public :: check_convergence, check_electron_number
+  public :: check_electron_number, check_convergence_energy, check_convergence_orbgrad
   public :: vector_length, fak, zeroOutCpotOfEmptyDensitySpinChannels
 
 
@@ -33,8 +33,8 @@ end subroutine zeroOutCpotOfEmptyDensitySpinChannels
 
 
   !> Checks SCF convergence by comparing new and old potential.
-  pure subroutine check_convergence(pot_old, pot_new, max_l, problemsize, scftol, iScf, change_max,&
-      & tConverged)
+  pure subroutine check_convergence_pot(pot_old, pot_new, max_l, problemsize, scftol, iScf, change_max,&
+                                        & tConverged)
 
     !> old and new potential to compare
     real(dp), intent(in) :: pot_old(:,0:,:,:), pot_new(:,0:,:,:)
@@ -82,7 +82,134 @@ pure subroutine check_convergence(pot_old, pot_new, max_l, problemsize, scftol,
       tConverged = .false.
     end if
 
-  end subroutine check_convergence
+  end subroutine check_convergence_pot
+
+  !> Checks SCF convergence by computing the occupied-virtual orbital gradient norm
+  pure subroutine check_convergence_orbgrad(max_l, num_alpha, poly_order, fock, coef, occ, &
+                                            & scftol, iScf, gradnorm, tConverged)
+
+    !> maximum angular momentum
+    integer, intent(in) :: max_l
+
+    !> number of exponents in each shell
+    integer, intent(in) :: num_alpha(0:)
+
+    !> highest polynomial order + l in each shell
+    integer, intent(in) :: poly_order(0:)
+
+    !> Fock matrix
+    real(dp), intent(in) :: fock(:, 0:, :, :)
+
+    !> MO coefficients supervector
+    real(dp), intent(in) :: coef(:, 0:, :, :)
+
+    !> occupations
+    real(dp), intent(in) :: occ(:, 0:, :)
+
+    !> scf tolerance, i.e. convergence criteria
+    real(dp), intent(in) :: scftol
+
+    !> current SCF step
+    integer, intent(in) :: iScf
+
+    !> orbital gradient norm value
+    real(dp), intent(out) :: gradnorm
+
+    !> true, if SCF converged
+    logical, intent(out) :: tConverged
+
+    !> auxilliary variables
+    integer :: iSpin, ll, diagsize, ii, aa
+    real(dp) :: occ_ii, occ_aa
+
+    !> Partial Fock matrix in MO basis
+    real(dp), allocatable :: fock_mo(:, :)
+
+    ! doi.org/10.3390/molecules25051218
+    ! eq. (46)
+
+    gradnorm = 0.0_dp
+
+    if (iScf < 3) then
+      tConverged = .false.
+    end if
+
+    do iSpin = 1, 2
+      do ll = 0, max_l
+        diagsize = num_alpha(ll) * poly_order(ll)
+        allocate(fock_mo(diagsize, diagsize))
+        fock_mo = 0.0_dp
+
+        ! Compute Fock matrix in MO basis
+        fock_mo = matmul(fock(iSpin, ll, :, :), coef(iSpin, ll, :, :))
+        fock_mo = matmul(transpose(coef(iSpin, ll, :, :)), fock_mo)
+
+        ! Compute orbital gradient norm
+        do ii = 1, diagsize
+
+          aa = 1
+          do while (aa <= ii)
+             aa = aa + 1
+          end do
+
+           do while (aa < diagsize)
+              ! Only occupied-virtual block contributes
+              occ_ii = abs(occ(iSpin, ll, ii))
+              occ_aa = abs(occ(iSpin, ll, aa))
+              if (occ_ii < 1e-16 .neqv. occ_aa < 1e-16) then
+                 gradnorm = gradnorm + (-2.0_dp * fock_mo(ii, aa))**2
+              end if
+              aa = aa + 1
+           end do
+        end do
+
+        deallocate(fock_mo)
+      end do
+    end do
+
+    gradnorm = sqrt(gradnorm)
+
+     if (gradnorm < scftol) then
+        tConverged = .true.
+     else
+        tConverged = .false.
+     end if
+
+  end subroutine check_convergence_orbgrad
+
+  !> Checks convergence by computing energy change from the last SCF iteration
+  pure subroutine check_convergence_energy(energy_old, energy_new, scftol, iScf, change, tConverged)
+
+    !> old and new potential to compare
+    real(dp), intent(in) :: energy_new, energy_old
+
+    !> scf tolerance, i.e. convergence criteria
+    real(dp), intent(in) :: scftol
+
+    !> current SCF step
+    integer, intent(in) :: iScf
+
+    !> obtained maximum change in potential
+    real(dp), intent(out) :: change
+
+    !> true, if SCF converged
+    logical, intent(out) :: tConverged
+
+    change = 0.0_dp
+
+    if (iScf < 3) then
+       tConverged = .false.
+    end if
+
+    change = abs(energy_new - energy_old)
+
+    if (change < scftol) then
+      tConverged = .true.
+    else
+      tConverged = .false.
+    end if
+
+  end subroutine check_convergence_energy
 
 
   !> Checks conservation of electron number during SCF. If this fluctuates you are in deep trouble.
diff --git a/slateratom/lib/xcfunctionals.f90 b/slateratom/lib/xcfunctionals.f90
index cb20cd34..75eed5b0 100644
--- a/slateratom/lib/xcfunctionals.f90
+++ b/slateratom/lib/xcfunctionals.f90
@@ -6,9 +6,11 @@ module xcfunctionals
   use common_constants, only : rec4pi
   use utilities, only : zeroOutCpotOfEmptyDensitySpinChannels
   use xc_f03_lib_m, only : xc_f03_func_t, xc_f03_func_init, xc_f03_func_end, xc_f03_lda_exc_vxc,&
-      & xc_f03_gga_exc_vxc, xc_f03_func_set_ext_params, XC_LDA_X, XC_LDA_X_YUKAWA, XC_LDA_C_PW,&
-      & XC_GGA_X_PBE, XC_GGA_X_B88, XC_GGA_X_SFAT_PBE, XC_HYB_GGA_XC_B3LYP,&
-      & XC_HYB_GGA_XC_CAMY_B3LYP, XC_GGA_C_PBE, XC_GGA_C_LYP, XC_POLARIZED
+  & xc_f03_gga_exc_vxc, xc_f03_mgga_exc_vxc, xc_f03_func_set_ext_params, XC_LDA_X, XC_LDA_X_YUKAWA,&
+  & XC_LDA_C_PW, XC_GGA_X_PBE, XC_GGA_X_B88, XC_GGA_X_SFAT_PBE, XC_HYB_GGA_XC_B3LYP,&
+  & XC_HYB_GGA_XC_CAMY_B3LYP, XC_GGA_C_PBE, XC_GGA_C_LYP, XC_MGGA_X_SCAN, XC_MGGA_X_R4SCAN,&
+  & XC_MGGA_C_SCAN, XC_MGGA_X_TASK, XC_MGGA_X_R2SCAN, XC_MGGA_C_R2SCAN, XC_MGGA_X_TPSS,&
+  & XC_MGGA_C_TPSS, XC_MGGA_C_CC, XC_POLARIZED
 
   implicit none
   private
@@ -19,6 +21,9 @@ module xcfunctionals
   public :: getExcVxc_LCY_PBE96, getExcVxc_LCY_BNL
   public :: getExcVxc_HYB_B3LYP, getExcVxc_HYB_PBE0
   public :: getExcVxc_CAMY_B3LYP, getExcVxc_CAMY_PBEh
+  public :: getExcVxc_MGGA_TPSS, getExcVxc_MGGA_SCAN,&
+  & getExcVxc_MGGA_r2SCAN, getExcVxc_MGGA_r4SCAN,&
+  & getExcVxc_MGGA_TASK, getExcVxc_MGGA_TASK_CC
 
 
   interface libxcVxcToInternalVxc
@@ -64,10 +69,29 @@ module xcfunctionals
     !> CAMY-PBEh
     integer :: CAMY_PBEh = 10
 
+    !> MGGA-TPSS
+    integer :: MGGA_TPSS = 11
+
+    !> MGGA-SCAN
+    integer :: MGGA_SCAN = 12
+
+    !> MGGA-r2SCAN
+    integer :: MGGA_r2SCAN = 13
+
+    !> MGGA-r4SCAN
+    integer :: MGGA_r4SCAN = 14
+
+    !> MGGA-TASK
+    integer :: MGGA_TASK = 15
+
+    !> MGGA-TASK+CC
+    integer :: MGGA_TASK_CC = 16
+
   contains
 
     procedure :: isLDA => TXcFunctionalsEnum_isLDA
     procedure :: isGGA => TXcFunctionalsEnum_isGGA
+    procedure :: isMGGA => TXcFunctionalsEnum_isMGGA
     procedure :: isGlobalHybrid => TXcFunctionalsEnum_isGlobalHybrid
     procedure :: isLongRangeCorrected => TXcFunctionalsEnum_isLongRangeCorrected
     procedure :: isCAMY => TXcFunctionalsEnum_isCAMY
@@ -117,6 +141,24 @@ pure function TXcFunctionalsEnum_isGGA(this, xcnr) result(isGGA)
 
   end function TXcFunctionalsEnum_isGGA
 
+  pure function TXcFunctionalsEnum_isMGGA(this, xcnr) result(isMGGA)
+
+  !> Class instance
+  class(TXcFunctionalsEnum), intent(in) :: this
+
+  !> identifier of exchange-correlation type
+  integer, intent(in) :: xcnr
+
+  !> True, if xc-functional index corresponds to a GGA functional
+  logical :: isMGGA
+
+  isMGGA = .false.
+  if (xcnr == this%MGGA_SCAN .or. xcnr == this%MGGA_r2SCAN &
+  & .or. xcnr == this%MGGA_TASK .or. xcnr == this%MGGA_r4SCAN &
+  & .or. xcnr == this%MGGA_TPSS .or. xcnr == this%MGGA_TASK_CC) &
+  & isMGGA = .true.
+
+  end function TXcFunctionalsEnum_isMGGA
 
   pure function TXcFunctionalsEnum_isLongRangeCorrected(this, xcnr) result(isLongRangeCorrected)
 
@@ -191,7 +233,7 @@ pure function TXcFunctionalsEnum_isNotImplemented(this, xcnr) result(isNotImplem
 
     isNotImplemented = .false.
 
-    if (xcnr < 0 .or. xcnr > 10) then
+    if (xcnr < 0 .or. xcnr > 16) then
       isNotImplemented = .true.
     end if
 
@@ -342,7 +384,6 @@ subroutine getExcVxc_GGA_PBE96(abcissa, dz, dzdr, rho, drho, sigma, exc, vxc)
 
   end subroutine getExcVxc_GGA_PBE96
 
-
   !> Calculates exc and vxc for the GGA-BLYP xc-functional.
   subroutine getExcVxc_GGA_BLYP(abcissa, dz, dzdr, rho, drho, sigma, exc, vxc)
 
@@ -431,6 +472,772 @@ subroutine getExcVxc_GGA_BLYP(abcissa, dz, dzdr, rho, drho, sigma, exc, vxc)
 
   end subroutine getExcVxc_GGA_BLYP
 
+  !> Calculates exc, vxc, and vtau for the MGGA-TPSS xc-functional.
+  subroutine getExcVxc_MGGA_TPSS(abcissa, dz, dzdr, rho, drho, sigma, tau, exc, vxc, vtau)
+
+    !> numerical integration abcissas
+    real(dp), intent(in) :: abcissa(:)
+
+    !> step width in linear coordinates
+    real(dp), intent(in) :: dz
+
+    !> dz/dr
+    real(dp), intent(in) :: dzdr(:)
+
+    !> density on grid
+    real(dp), intent(in) :: rho(:,:)
+
+    !> 1st deriv. of density on grid
+    real(dp), intent(in) :: drho(:,:)
+
+    !> contracted gradients of the density
+    real(dp), intent(in), allocatable :: sigma(:,:)
+
+    !> Kinetic energy density
+    real(dp), intent(in):: tau(:,:)
+
+    !> exc energy density on grid
+    real(dp), intent(out) :: exc(:)
+
+    !> xc potential on grid
+    real(dp), intent(out) :: vxc(:,:)
+
+    !> orbital-dependent tau potential on grid
+    real(dp), intent(out) :: vtau(:, :)
+
+    !! density in libxc compatible format, i.e. rho/(4pi)
+    real(dp), allocatable :: rhor(:,:)
+
+    !! Kinetic energy density (in libxc compatible format)
+    real(dp), allocatable :: tau_libxc(:,:)
+
+    !! libxc related objects
+    type(xc_f03_func_t) :: xcfunc_x, xcfunc_c
+
+    !! number of density grid points
+    integer(c_size_t) :: nn
+
+    !! exchange and correlation energy on grid
+    real(dp), allocatable :: ex(:), ec(:)
+
+    !! exchange and correlation potential on grid
+    real(dp), allocatable :: vx(:,:), vc(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of sigma (exchange)
+    real(dp), allocatable :: vxsigma(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of sigma (correlation)
+    real(dp), allocatable :: vcsigma(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of tau (exchange)
+    real(dp), allocatable :: vxtau(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of tau (correlation)
+    real(dp), allocatable :: vctau(:,:)
+
+    !! laplacian for libxc (dummy)
+    real(dp), allocatable :: lapl(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of laplacian (exchange) (dummy)
+    real(dp), allocatable :: vxlapl(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of laplacian (correlation) (dummy)
+    real(dp), allocatable :: vclapl(:,:)
+
+    nn = size(rho, dim=1)
+    ! divide by 4*pi to catch different normalization of spherical harmonics
+    allocate(rhor(2, nn))
+    rhor(:,:) = transpose(rho) * rec4pi
+
+    allocate(tau_libxc(2, nn))
+    tau_libxc(:,:) = transpose(tau) * rec4pi
+
+    allocate(ex(nn))
+    ex(:) = 0.0_dp
+    allocate(ec(nn))
+    ec(:) = 0.0_dp
+    allocate(vx(2, nn))
+    vx(:,:) = 0.0_dp
+    allocate(vc(2, nn))
+    vc(:,:) = 0.0_dp
+
+    allocate(vxsigma(3, nn))
+    vxsigma(:,:) = 0.0_dp
+    allocate(vcsigma(3, nn))
+    vcsigma(:,:) = 0.0_dp
+
+    allocate(vxtau(2, nn))
+    vxtau(:,:) = 0.0_dp
+    allocate(vctau(2, nn))
+    vctau(:,:) = 0.0_dp
+
+    allocate(lapl(2, nn))
+    lapl(:, :) = 0.0_dp
+    allocate(vxlapl(2, nn))
+    vxlapl(:,:) = 0.0_dp
+    allocate(vclapl(2, nn))
+    vclapl(:,:) = 0.0_dp
+
+    call xc_f03_func_init(xcfunc_x, XC_MGGA_X_TPSS, XC_POLARIZED)
+    call xc_f03_func_init(xcfunc_c, XC_MGGA_C_TPSS, XC_POLARIZED)
+
+    ! Exchange energy and potential
+    call xc_f03_mgga_exc_vxc(xcfunc_x, nn, rhor(1, 1), sigma(1, 1), lapl(1, 1), tau_libxc(1, 1),&
+    & ex(1), vx(1, 1), vxsigma(1, 1), vxlapl(1, 1), vxtau(1, 1))
+    ! Correlation energy and potential
+    call xc_f03_mgga_exc_vxc(xcfunc_c, nn, rhor(1, 1), sigma(1, 1), lapl(1, 1), tau_libxc(1, 1),&
+    & ec(1), vc(1, 1), vcsigma(1, 1), vclapl(1, 1), vctau(1, 1))
+
+    call zeroOutCpotOfEmptyDensitySpinChannels(rho, vc)
+
+    exc(:) = ex + ec
+    vxc(:,:) = transpose(vx + vc)
+    vtau(:, :) = transpose(vxtau + vctau)
+
+    call libxcVxcToInternalVxc(abcissa, dz, dzdr, drho, vxsigma, vcsigma, vxc)
+
+    ! finalize libxc objects
+    call xc_f03_func_end(xcfunc_x)
+    call xc_f03_func_end(xcfunc_c)
+
+ end subroutine getExcVxc_MGGA_TPSS
+
+ !> Calculates exc, vxc, and vtau for the MGGA-SCAN xc-functional.
+ subroutine getExcVxc_MGGA_SCAN(abcissa, dz, dzdr, rho, drho, sigma, tau, exc, vxc, vtau)
+
+    !> numerical integration abcissas
+    real(dp), intent(in) :: abcissa(:)
+
+    !> step width in linear coordinates
+    real(dp), intent(in) :: dz
+
+    !> dz/dr
+    real(dp), intent(in) :: dzdr(:)
+
+    !> density on grid
+    real(dp), intent(in) :: rho(:,:)
+
+    !> 1st deriv. of density on grid
+    real(dp), intent(in) :: drho(:,:)
+
+    !> contracted gradients of the density
+    real(dp), intent(in), allocatable :: sigma(:,:)
+
+    !> Kinetic energy density
+    real(dp), intent(in):: tau(:,:)
+
+    !> exc energy density on grid
+    real(dp), intent(out) :: exc(:)
+
+    !> xc potential on grid
+    real(dp), intent(out) :: vxc(:,:)
+
+    !> orbital-dependent tau potential on grid
+    real(dp), intent(out) :: vtau(:, :)
+
+    !! density in libxc compatible format, i.e. rho/(4pi)
+    real(dp), allocatable :: rhor(:,:)
+
+    !! Kinetic energy density (in libxc compatible format)
+    real(dp), allocatable :: tau_libxc(:,:)
+
+    !! libxc related objects
+    type(xc_f03_func_t) :: xcfunc_x, xcfunc_c
+
+    !! number of density grid points
+    integer(c_size_t) :: nn
+
+    !! exchange and correlation energy on grid
+    real(dp), allocatable :: ex(:), ec(:)
+
+    !! exchange and correlation potential on grid
+    real(dp), allocatable :: vx(:,:), vc(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of sigma (exchange)
+    real(dp), allocatable :: vxsigma(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of sigma (correlation)
+    real(dp), allocatable :: vcsigma(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of tau (exchange)
+    real(dp), allocatable :: vxtau(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of tau (correlation)
+    real(dp), allocatable :: vctau(:,:)
+
+    !! laplacian for libxc (dummy)
+    real(dp), allocatable :: lapl(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of laplacian (exchange) (dummy)
+    real(dp), allocatable :: vxlapl(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of laplacian (correlation) (dummy)
+    real(dp), allocatable :: vclapl(:,:)
+
+    nn = size(rho, dim=1)
+    ! divide by 4*pi to catch different normalization of spherical harmonics
+    allocate(rhor(2, nn))
+    rhor(:,:) = transpose(rho) * rec4pi
+
+    allocate(tau_libxc(2, nn))
+    tau_libxc(:,:) = transpose(tau) * rec4pi
+
+    allocate(ex(nn))
+    ex(:) = 0.0_dp
+    allocate(ec(nn))
+    ec(:) = 0.0_dp
+    allocate(vx(2, nn))
+    vx(:,:) = 0.0_dp
+    allocate(vc(2, nn))
+    vc(:,:) = 0.0_dp
+
+    allocate(vxsigma(3, nn))
+    vxsigma(:,:) = 0.0_dp
+    allocate(vcsigma(3, nn))
+    vcsigma(:,:) = 0.0_dp
+
+    allocate(vxtau(2, nn))
+    vxtau(:,:) = 0.0_dp
+    allocate(vctau(2, nn))
+    vctau(:,:) = 0.0_dp
+
+    allocate(lapl(2, nn))
+    lapl(:, :) = 0.0_dp
+    allocate(vxlapl(2, nn))
+    vxlapl(:,:) = 0.0_dp
+    allocate(vclapl(2, nn))
+    vclapl(:,:) = 0.0_dp
+
+    call xc_f03_func_init(xcfunc_x, XC_MGGA_X_SCAN, XC_POLARIZED)
+    call xc_f03_func_init(xcfunc_c, XC_MGGA_C_SCAN, XC_POLARIZED)
+
+    ! Exchange energy and potential
+    call xc_f03_mgga_exc_vxc(xcfunc_x, nn, rhor(1, 1), sigma(1, 1), lapl(1, 1), tau_libxc(1, 1),&
+    & ex(1), vx(1, 1), vxsigma(1, 1), vxlapl(1, 1), vxtau(1, 1))
+    ! Correlation energy and potential
+    call xc_f03_mgga_exc_vxc(xcfunc_c, nn, rhor(1, 1), sigma(1, 1), lapl(1, 1), tau_libxc(1, 1),&
+    & ec(1), vc(1, 1), vcsigma(1, 1), vclapl(1, 1), vctau(1, 1))
+
+    call zeroOutCpotOfEmptyDensitySpinChannels(rho, vc)
+
+    exc(:) = ex + ec
+    vxc(:,:) = transpose(vx + vc)
+    vtau(:, :) = transpose(vxtau + vctau)
+
+    call libxcVxcToInternalVxc(abcissa, dz, dzdr, drho, vxsigma, vcsigma, vxc)
+
+    ! finalize libxc objects
+    call xc_f03_func_end(xcfunc_x)
+    call xc_f03_func_end(xcfunc_c)
+
+ end subroutine getExcVxc_MGGA_SCAN
+
+ !> Calculates exc, vxc, and vtau for the MGGA-r2SCAN xc-functional.
+ subroutine getExcVxc_MGGA_r2SCAN(abcissa, dz, dzdr, rho, drho, sigma, tau, exc, vxc, vtau)
+
+    !> numerical integration abcissas
+    real(dp), intent(in) :: abcissa(:)
+
+    !> step width in linear coordinates
+    real(dp), intent(in) :: dz
+
+    !> dz/dr
+    real(dp), intent(in) :: dzdr(:)
+
+    !> density on grid
+    real(dp), intent(in) :: rho(:,:)
+
+    !> 1st deriv. of density on grid
+    real(dp), intent(in) :: drho(:,:)
+
+    !> contracted gradients of the density
+    real(dp), intent(in), allocatable :: sigma(:,:)
+
+    !> Kinetic energy density
+    real(dp), intent(in):: tau(:,:)
+
+    !> exc energy density on grid
+    real(dp), intent(out) :: exc(:)
+
+    !> xc potential on grid
+    real(dp), intent(out) :: vxc(:,:)
+
+    !> orbital-dependent tau potential on grid
+    real(dp), intent(out) :: vtau(:, :)
+
+    !! density in libxc compatible format, i.e. rho/(4pi)
+    real(dp), allocatable :: rhor(:,:)
+
+    !! Kinetic energy density (in libxc compatible format)
+    real(dp), allocatable :: tau_libxc(:,:)
+
+    !! libxc related objects
+    type(xc_f03_func_t) :: xcfunc_x, xcfunc_c
+
+    !! number of density grid points
+    integer(c_size_t) :: nn
+
+    !! exchange and correlation energy on grid
+    real(dp), allocatable :: ex(:), ec(:)
+
+    !! exchange and correlation potential on grid
+    real(dp), allocatable :: vx(:,:), vc(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of sigma (exchange)
+    real(dp), allocatable :: vxsigma(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of sigma (correlation)
+    real(dp), allocatable :: vcsigma(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of tau (exchange)
+    real(dp), allocatable :: vxtau(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of tau (correlation)
+    real(dp), allocatable :: vctau(:,:)
+
+    !! laplacian for libxc (dummy)
+    real(dp), allocatable :: lapl(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of laplacian (exchange) (dummy)
+    real(dp), allocatable :: vxlapl(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of laplacian (correlation) (dummy)
+    real(dp), allocatable :: vclapl(:,:)
+
+    nn = size(rho, dim=1)
+    ! divide by 4*pi to catch different normalization of spherical harmonics
+    allocate(rhor(2, nn))
+    rhor(:,:) = transpose(rho) * rec4pi
+
+    allocate(tau_libxc(2, nn))
+    tau_libxc(:,:) = transpose(tau) * rec4pi
+
+    allocate(ex(nn))
+    ex(:) = 0.0_dp
+    allocate(ec(nn))
+    ec(:) = 0.0_dp
+    allocate(vx(2, nn))
+    vx(:,:) = 0.0_dp
+    allocate(vc(2, nn))
+    vc(:,:) = 0.0_dp
+
+    allocate(vxsigma(3, nn))
+    vxsigma(:,:) = 0.0_dp
+    allocate(vcsigma(3, nn))
+    vcsigma(:,:) = 0.0_dp
+
+    allocate(vxtau(2, nn))
+    vxtau(:,:) = 0.0_dp
+    allocate(vctau(2, nn))
+    vctau(:,:) = 0.0_dp
+
+    allocate(lapl(2, nn))
+    lapl(:, :) = 0.0_dp
+    allocate(vxlapl(2, nn))
+    vxlapl(:,:) = 0.0_dp
+    allocate(vclapl(2, nn))
+    vclapl(:,:) = 0.0_dp
+
+    call xc_f03_func_init(xcfunc_x, XC_MGGA_X_R2SCAN, XC_POLARIZED)
+    call xc_f03_func_init(xcfunc_c, XC_MGGA_C_R2SCAN, XC_POLARIZED)
+
+    ! Exchange energy and potential
+    call xc_f03_mgga_exc_vxc(xcfunc_x, nn, rhor(1, 1), sigma(1, 1), lapl(1, 1), tau_libxc(1, 1),&
+    & ex(1), vx(1, 1), vxsigma(1, 1), vxlapl(1, 1), vxtau(1, 1))
+    ! Correlation energy and potential
+    call xc_f03_mgga_exc_vxc(xcfunc_c, nn, rhor(1, 1), sigma(1, 1), lapl(1, 1), tau_libxc(1, 1),&
+    & ec(1), vc(1, 1), vcsigma(1, 1), vclapl(1, 1), vctau(1, 1))
+
+    call zeroOutCpotOfEmptyDensitySpinChannels(rho, vc)
+
+    exc(:) = ex + ec
+    vxc(:,:) = transpose(vx + vc)
+    vtau(:, :) = transpose(vxtau + vctau)
+
+    call libxcVxcToInternalVxc(abcissa, dz, dzdr, drho, vxsigma, vcsigma, vxc)
+
+    ! finalize libxc objects
+    call xc_f03_func_end(xcfunc_x)
+    call xc_f03_func_end(xcfunc_c)
+
+ end subroutine getExcVxc_MGGA_r2SCAN
+
+ !> Calculates exc, vxc, and vtau for the MGGA-r4SCAN xc-functional.
+ subroutine getExcVxc_MGGA_r4SCAN(abcissa, dz, dzdr, rho, drho, sigma, tau, exc, vxc, vtau)
+
+    !> numerical integration abcissas
+    real(dp), intent(in) :: abcissa(:)
+
+    !> step width in linear coordinates
+    real(dp), intent(in) :: dz
+
+    !> dz/dr
+    real(dp), intent(in) :: dzdr(:)
+
+    !> density on grid
+    real(dp), intent(in) :: rho(:,:)
+
+    !> 1st deriv. of density on grid
+    real(dp), intent(in) :: drho(:,:)
+
+    !> contracted gradients of the density
+    real(dp), intent(in), allocatable :: sigma(:,:)
+
+    !> Kinetic energy density
+    real(dp), intent(in):: tau(:,:)
+
+    !> exc energy density on grid
+    real(dp), intent(out) :: exc(:)
+
+    !> xc potential on grid
+    real(dp), intent(out) :: vxc(:,:)
+
+    !> orbital-dependent tau potential on grid
+    real(dp), intent(out) :: vtau(:, :)
+
+    !! density in libxc compatible format, i.e. rho/(4pi)
+    real(dp), allocatable :: rhor(:,:)
+
+    !! Kinetic energy density (in libxc compatible format)
+    real(dp), allocatable :: tau_libxc(:,:)
+
+    !! libxc related objects
+    type(xc_f03_func_t) :: xcfunc_x, xcfunc_c
+
+    !! number of density grid points
+    integer(c_size_t) :: nn
+
+    !! exchange and correlation energy on grid
+    real(dp), allocatable :: ex(:), ec(:)
+
+    !! exchange and correlation potential on grid
+    real(dp), allocatable :: vx(:,:), vc(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of sigma (exchange)
+    real(dp), allocatable :: vxsigma(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of sigma (correlation)
+    real(dp), allocatable :: vcsigma(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of tau (exchange)
+    real(dp), allocatable :: vxtau(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of tau (correlation)
+    real(dp), allocatable :: vctau(:,:)
+
+    !! laplacian for libxc (dummy)
+    real(dp), allocatable :: lapl(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of laplacian (exchange) (dummy)
+    real(dp), allocatable :: vxlapl(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of laplacian (correlation) (dummy)
+    real(dp), allocatable :: vclapl(:,:)
+
+    nn = size(rho, dim=1)
+    ! divide by 4*pi to catch different normalization of spherical harmonics
+    allocate(rhor(2, nn))
+    rhor(:,:) = transpose(rho) * rec4pi
+
+    allocate(tau_libxc(2, nn))
+    tau_libxc(:,:) = transpose(tau) * rec4pi
+
+    allocate(ex(nn))
+    ex(:) = 0.0_dp
+    allocate(ec(nn))
+    ec(:) = 0.0_dp
+    allocate(vx(2, nn))
+    vx(:,:) = 0.0_dp
+    allocate(vc(2, nn))
+    vc(:,:) = 0.0_dp
+
+    allocate(vxsigma(3, nn))
+    vxsigma(:,:) = 0.0_dp
+    allocate(vcsigma(3, nn))
+    vcsigma(:,:) = 0.0_dp
+
+    allocate(vxtau(2, nn))
+    vxtau(:,:) = 0.0_dp
+    allocate(vctau(2, nn))
+    vctau(:,:) = 0.0_dp
+
+    allocate(lapl(2, nn))
+    lapl(:, :) = 0.0_dp
+    allocate(vxlapl(2, nn))
+    vxlapl(:,:) = 0.0_dp
+    allocate(vclapl(2, nn))
+    vclapl(:,:) = 0.0_dp
+
+    call xc_f03_func_init(xcfunc_x, XC_MGGA_X_R4SCAN, XC_POLARIZED)
+    call xc_f03_func_init(xcfunc_c, XC_MGGA_C_R2SCAN, XC_POLARIZED)
+
+    ! Exchange energy and potential
+    call xc_f03_mgga_exc_vxc(xcfunc_x, nn, rhor(1, 1), sigma(1, 1), lapl(1, 1), tau_libxc(1, 1),&
+    & ex(1), vx(1, 1), vxsigma(1, 1), vxlapl(1, 1), vxtau(1, 1))
+    ! Correlation energy and potential
+    call xc_f03_mgga_exc_vxc(xcfunc_c, nn, rhor(1, 1), sigma(1, 1), lapl(1, 1), tau_libxc(1, 1),&
+    & ec(1), vc(1, 1), vcsigma(1, 1), vclapl(1, 1), vctau(1, 1))
+
+    call zeroOutCpotOfEmptyDensitySpinChannels(rho, vc)
+
+    exc(:) = ex + ec
+    vxc(:,:) = transpose(vx + vc)
+    vtau(:, :) = transpose(vxtau + vctau)
+
+    call libxcVxcToInternalVxc(abcissa, dz, dzdr, drho, vxsigma, vcsigma, vxc)
+
+    ! finalize libxc objects
+    call xc_f03_func_end(xcfunc_x)
+    call xc_f03_func_end(xcfunc_c)
+
+ end subroutine getExcVxc_MGGA_r4SCAN
+
+ !> Calculates exc, vxc, and vtau for the MGGA-TASK xc-functional.
+ subroutine getExcVxc_MGGA_TASK(abcissa, dz, dzdr, rho, drho, sigma, tau, exc, vxc, vtau)
+
+    !> numerical integration abcissas
+    real(dp), intent(in) :: abcissa(:)
+
+    !> step width in linear coordinates
+    real(dp), intent(in) :: dz
+
+    !> dz/dr
+    real(dp), intent(in) :: dzdr(:)
+
+    !> density on grid
+    real(dp), intent(in) :: rho(:,:)
+
+    !> 1st deriv. of density on grid
+    real(dp), intent(in) :: drho(:,:)
+
+    !> contracted gradients of the density
+    real(dp), intent(in), allocatable :: sigma(:,:)
+
+    !> Kinetic energy density
+    real(dp), intent(in) :: tau(:,:)
+
+    !> exc energy density on grid
+    real(dp), intent(out) :: exc(:)
+
+    !> xc potential on grid
+    real(dp), intent(out) :: vxc(:,:)
+
+    !> orbital-dependent tau potential on grid
+    real(dp), intent(out) :: vtau(:, :)
+
+    !! density in libxc compatible format, i.e. rho/(4pi)
+    real(dp), allocatable :: rhor(:,:)
+
+    !! Kinetic energy density
+    real(dp), allocatable :: tau_libxc(:,:)
+
+    !! libxc related objects
+    type(xc_f03_func_t) :: xcfunc_x, xcfunc_c
+
+    !! number of density grid points
+    integer(c_size_t) :: nn
+
+    !! exchange and correlation energy on grid
+    real(dp), allocatable :: ex(:), ec(:)
+
+    !! exchange and correlation potential on grid
+    real(dp), allocatable :: vx(:,:), vc(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of sigma (exchange)
+    real(dp), allocatable :: vxsigma(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of tau (exchange)
+    real(dp), allocatable :: vxtau(:,:)
+
+    !! laplacian for libxc (dummy)
+    real(dp), allocatable :: lapl(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of laplacian (exchange) (dummy)
+    real(dp), allocatable :: vxlapl(:,:)
+
+    nn = size(rho, dim=1)
+    ! divide by 4*pi to catch different normalization of spherical harmonics
+    allocate(rhor(2, nn))
+    rhor(:,:) = transpose(rho) * rec4pi
+
+    allocate(tau_libxc(2, nn))
+    tau_libxc(:,:) = transpose(tau) * rec4pi
+
+    allocate(ex(nn))
+    ex(:) = 0.0_dp
+    allocate(ec(nn))
+    ec(:) = 0.0_dp
+    allocate(vx(2, nn))
+    vx(:,:) = 0.0_dp
+    allocate(vc(2, nn))
+    vc(:,:) = 0.0_dp
+
+    allocate(vxsigma(3, nn))
+    vxsigma(:,:) = 0.0_dp
+
+    allocate(vxtau(2, nn))
+    vxtau(:,:) = 0.0_dp
+
+    allocate(lapl(2, nn))
+    lapl(:, :) = 0.0_dp
+    allocate(vxlapl(2, nn))
+    vxlapl(:,:) = 0.0_dp
+
+    call xc_f03_func_init(xcfunc_x, XC_MGGA_X_TASK, XC_POLARIZED)
+    call xc_f03_func_init(xcfunc_c, XC_LDA_C_PW, XC_POLARIZED)
+
+    ! Exchange energy and potential
+    call xc_f03_mgga_exc_vxc(xcfunc_x, nn, rhor(1, 1), sigma(1, 1), lapl(1, 1), tau_libxc(1, 1),&
+    & ex(1), vx(1, 1), vxsigma(1, 1), vxlapl(1, 1), vxtau(1, 1))
+    ! Correlation energy and potential
+    call xc_f03_lda_exc_vxc(xcfunc_c, nn, rhor(1, 1), ec(1), vc(1, 1))
+    call zeroOutCpotOfEmptyDensitySpinChannels(rho, vc)
+
+    exc(:) = ex + ec
+    vxc(:,:) = transpose(vx + vc)
+    vtau(:, :) = transpose(vxtau)
+
+    call libxcVxcToInternalVxc(abcissa, dz, dzdr, drho, vxsigma, vxc)
+
+    ! finalize libxc objects
+    call xc_f03_func_end(xcfunc_x)
+    call xc_f03_func_end(xcfunc_c)
+
+  end subroutine getExcVxc_MGGA_TASK
+
+  !> Calculates exc, vxc, and vtau for the MGGA-TASK+CC xc-functional.
+  subroutine getExcVxc_MGGA_TASK_CC(abcissa, dz, dzdr, rho, drho, sigma, tau, exc, vxc, vtau)
+
+    ! TASK exchange with CC correlation
+    ! correlation: 10.1063/1.4865942
+    ! total functional: 10.1103/PhysRevResearch.4.023061
+
+    !> numerical integration abcissas
+    real(dp), intent(in) :: abcissa(:)
+
+    !> step width in linear coordinates
+    real(dp), intent(in) :: dz
+
+    !> dz/dr
+    real(dp), intent(in) :: dzdr(:)
+
+    !> density on grid
+    real(dp), intent(in) :: rho(:,:)
+
+    !> 1st deriv. of density on grid
+    real(dp), intent(in) :: drho(:,:)
+
+    !> contracted gradients of the density
+    real(dp), intent(in), allocatable :: sigma(:,:)
+
+    !> Kinetic energy density
+    real(dp), intent(in):: tau(:,:)
+
+    !> exc energy density on grid
+    real(dp), intent(out) :: exc(:)
+
+    !> xc potential on grid
+    real(dp), intent(out) :: vxc(:,:)
+
+    !> orbital-dependent tau potential on grid
+    real(dp), intent(out) :: vtau(:, :)
+
+    !! density in libxc compatible format, i.e. rho/(4pi)
+    real(dp), allocatable :: rhor(:,:)
+
+    !! Kinetic energy density (in libxc compatible format)
+    real(dp), allocatable :: tau_libxc(:,:)
+
+    !! libxc related objects
+    type(xc_f03_func_t) :: xcfunc_x, xcfunc_c
+
+    !! number of density grid points
+    integer(c_size_t) :: nn
+
+    !! exchange and correlation energy on grid
+    real(dp), allocatable :: ex(:), ec(:)
+
+    !! exchange and correlation potential on grid
+    real(dp), allocatable :: vx(:,:), vc(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of sigma (exchange)
+    real(dp), allocatable :: vxsigma(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of sigma (correlation)
+    real(dp), allocatable :: vcsigma(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of tau (exchange)
+    real(dp), allocatable :: vxtau(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of tau (correlation)
+    real(dp), allocatable :: vctau(:,:)
+
+    !! laplacian for libxc (dummy)
+    real(dp), allocatable :: lapl(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of laplacian (exchange) (dummy)
+    real(dp), allocatable :: vxlapl(:,:)
+
+    !! first partial derivative of the energy per unit volume in terms of laplacian (correlation) (dummy)
+    real(dp), allocatable :: vclapl(:,:)
+
+    nn = size(rho, dim=1)
+    ! divide by 4*pi to catch different normalization of spherical harmonics
+    allocate(rhor(2, nn))
+    rhor(:,:) = transpose(rho) * rec4pi
+
+    allocate(tau_libxc(2, nn))
+    tau_libxc(:,:) = transpose(tau) * rec4pi
+
+    allocate(ex(nn))
+    ex(:) = 0.0_dp
+    allocate(ec(nn))
+    ec(:) = 0.0_dp
+    allocate(vx(2, nn))
+    vx(:,:) = 0.0_dp
+    allocate(vc(2, nn))
+    vc(:,:) = 0.0_dp
+
+    allocate(vxsigma(3, nn))
+    vxsigma(:,:) = 0.0_dp
+    allocate(vcsigma(3, nn))
+    vcsigma(:,:) = 0.0_dp
+
+    allocate(vxtau(2, nn))
+    vxtau(:,:) = 0.0_dp
+    allocate(vctau(2, nn))
+    vctau(:,:) = 0.0_dp
+
+    allocate(lapl(2, nn))
+    lapl(:, :) = 0.0_dp
+    allocate(vxlapl(2, nn))
+    vxlapl(:,:) = 0.0_dp
+    allocate(vclapl(2, nn))
+    vclapl(:,:) = 0.0_dp
+
+    call xc_f03_func_init(xcfunc_x, XC_MGGA_X_TASK, XC_POLARIZED)
+    call xc_f03_func_init(xcfunc_c, XC_MGGA_C_CC, XC_POLARIZED)
+
+    ! Exchange energy and potential
+    call xc_f03_mgga_exc_vxc(xcfunc_x, nn, rhor(1, 1), sigma(1, 1), lapl(1, 1), tau_libxc(1, 1),&
+    & ex(1), vx(1, 1), vxsigma(1, 1), vxlapl(1, 1), vxtau(1, 1))
+    ! Correlation energy and potential
+    call xc_f03_mgga_exc_vxc(xcfunc_c, nn, rhor(1, 1), sigma(1, 1), lapl(1, 1), tau_libxc(1, 1),&
+    & ec(1), vc(1, 1), vcsigma(1, 1), vclapl(1, 1), vctau(1, 1))
+
+    call zeroOutCpotOfEmptyDensitySpinChannels(rho, vc)
+
+    exc(:) = ex + ec
+    vxc(:,:) = transpose(vx + vc)
+    vtau(:, :) = transpose(vxtau + vctau)
+
+    call libxcVxcToInternalVxc(abcissa, dz, dzdr, drho, vxsigma, vcsigma, vxc)
+
+    ! finalize libxc objects
+    call xc_f03_func_end(xcfunc_x)
+    call xc_f03_func_end(xcfunc_c)
+
+ end subroutine getExcVxc_MGGA_TASK_CC
 
   !> Calculates exc and vxc for the LCY-PBE96 xc-functional.
   subroutine getExcVxc_LCY_PBE96(abcissa, dz, dzdr, rho, drho, sigma, omega, exc, vxc)
diff --git a/slateratom/prog/main.f90 b/slateratom/prog/main.f90
index a4143149..4301fb0b 100644
--- a/slateratom/prog/main.f90
+++ b/slateratom/prog/main.f90
@@ -12,9 +12,10 @@ program HFAtom
   use output, only : write_eigvec, write_eigval, write_moments, write_energies,&
       & write_energies_tagged, write_potentials_file_standard, write_densities_file_standard,&
       & write_waves_file_standard, write_wave_coeffs_file, cusp_values, writeAveragePotential
+  use sap, only : sap_start_pot
   use totalenergy, only : getTotalEnergy, getTotalEnergyZora
-  use dft, only : check_accuracy, dft_start_pot, density_grid
-  use utilities, only : check_electron_number, check_convergence
+  use dft, only : check_accuracy, density_grid
+  use utilities, only : check_electron_number, check_convergence_energy, check_convergence_orbgrad
   use zora_routines, only : scaled_zora
   use cmdargs, only : parse_command_arguments
   use common_poisson, only : TBeckeGridParams
@@ -73,6 +74,14 @@ program HFAtom
   if (nuc > 36) num_mesh_points = 1250
   if (nuc > 54) num_mesh_points = 1500
 
+  !> meta-GGA functionals exhibit extraordinary
+  !> sensititvity with respect to grid, which
+  !> especially affects convergence with tight
+  !> settings; see 10.1063/5.0121187
+  if (xcFunctional%isMGGA(xcnr)) then
+    num_mesh_points = num_mesh_points + 2000
+ end if
+
   call echo_input(nuc, max_l, occ_shells, maxiter, scftol, poly_order, num_alpha, alpha, conf_r0,&
       & conf_power, occ, num_occ, num_power, num_alphas, xcnr, tZora, num_mesh_points, xalpha_const)
 
@@ -109,12 +118,15 @@ program HFAtom
     call hfex_lr(kk_lr, max_l, num_alpha, alpha, poly_order, problemsize, omega, grid_params)
   end if
 
-  ! convergence flag
-  tConverged = .false.
+   ! convergence flags
+  tOrbGradConverged = .false.
+  tEnergyConverged = .false.
 
-  ! DFT start potential
+  ! Generate guess for DFT;
+  !> Thomas-Fermi guess potential is currently disabled
   if (.not. (xcnr == xcFunctional%HF_Exchange)) then
-    call dft_start_pot(abcissa, num_mesh_points, nuc, vxc)
+     !> SAP potential
+     call sap_start_pot(abcissa, num_mesh_points, nuc, vxc)
   end if
 
   ! build initial fock matrix, core hamiltonian only
@@ -126,17 +138,18 @@ program HFAtom
 
   ! kinetic energy, nuclear-electron, and confinement matrix elements which are constant during SCF
   call build_hamiltonian(pMixer, 0, tt, uu, nuc, vconf, jj, kk, kk_lr, pp, max_l, num_alpha,&
-      & poly_order, problemsize, xcnr, num_mesh_points, weight, abcissa, vxc, alpha, pot_old,&
+      & poly_order, problemsize, xcnr, num_mesh_points, weight, abcissa, vxc, vtau, alpha, pot_old,&
       & pot_new, tZora, ff, camAlpha, camBeta)
 
   ! self-consistency cycles
   write(*,*) 'Energies in Hartree'
   write(*,*)
-  write(*,*) ' Iter |   Total energy  |   HF-X energy  |   XC energy   |   Change in pot'
-  write(*,*) '--------------------------------------------------------------------------'
+  write(*,*) ' Iter |   Total energy  |   HF-X energy  |   XC energy   |   Orbital gradient norm   | Delta (Total energy) '
+  write(*,*) '-----------------------------------------------------------------------------------------------------------'
   lpScf: do iScf = 1, maxiter
 
     pot_old(:,:,:,:) = pot_new
+    total_ene_old = total_ene
 
     ! diagonalize
     call diagonalize(max_l, num_alpha, poly_order, ff, ss, cof, eigval)
@@ -146,11 +159,11 @@ program HFAtom
 
     ! get electron density, derivatives, exc related potentials and energy densities
     call density_grid(pp, max_l, num_alpha, poly_order, alpha, num_mesh_points, abcissa, dzdr,&
-        & dz, xcnr, omega, camAlpha, camBeta, rho, drho, ddrho, vxc, exc, xalpha_const)
+        & dz, xcnr, omega, camAlpha, camBeta, rho, drho, ddrho, tau, vxc, vtau, exc, xalpha_const)
 
     ! build Fock matrix and get total energy during SCF
     call build_hamiltonian(pMixer, iScf, tt, uu, nuc, vconf, jj, kk, kk_lr, pp, max_l, num_alpha,&
-        & poly_order, problemsize, xcnr, num_mesh_points, weight, abcissa, vxc, alpha, pot_old,&
+        & poly_order, problemsize, xcnr, num_mesh_points, weight, abcissa, vxc, vtau, alpha, pot_old,&
         & pot_new, tZora, ff, camAlpha, camBeta)
 
     if (tZora) then
@@ -164,13 +177,14 @@ program HFAtom
           & nuclear_energy, coulomb_energy, exchange_energy, x_en_2, conf_energy, total_ene)
     end if
 
-    call check_convergence(pot_old, pot_new, max_l, problemsize, scftol, iScf, change_max,&
-        & tConverged)
+    call check_convergence_orbgrad(max_l, num_alpha, poly_order, ff, cof, occ, scftol, iScf, orb_grad_norm, tOrbGradConverged)
+    call check_convergence_energy(total_ene_old, total_ene, scftol, iScf, total_ene_diff, tEnergyConverged)
 
-    write(*, '(I4,2X,3(1X,F16.9),3X,E16.9)') iScf, total_ene, exchange_energy, x_en_2, change_max
+    ! Print SCF loop information
+    write(*, '(I4,2X,3(1X,F16.9),7X,E16.9,8X,E16.9)') iScf, total_ene, exchange_energy, x_en_2, orb_grad_norm, total_ene_diff
 
     ! if self-consistency is reached, exit loop
-    if (tConverged) exit lpScf
+    if (tOrbGradConverged .and. tEnergyConverged) exit lpScf
 
     ! check conservation of number of electrons during SCF
     call check_electron_number(cof, ss, occ, max_l, num_alpha, poly_order, problemsize)
@@ -180,7 +194,7 @@ program HFAtom
   end do lpScf
 
   ! handle non-converged calculations
-  if (.not. tConverged) then
+  if (.not. (tEnergyConverged .and. tOrbGradConverged)) then
     call error('SCF is NOT converged, maximal SCF iterations exceeded.')
   end if
 
@@ -212,7 +226,7 @@ program HFAtom
         & conf_energy, total_ene)
   end if
 
-  write(*, '(A,E20.12)') 'Potential Matrix Elements converged to ', change_max
+  write(*, '(A,E20.12)') 'Occupied-virtual orbital gradient converged to ', orb_grad_norm
   write(*, '(A)') ' '
 
   if (tZora) then
@@ -226,7 +240,7 @@ program HFAtom
   call write_potentials_file_standard(num_mesh_points, abcissa, weight, vxc, rho, nuc, pp, max_l,&
       & num_alpha, poly_order, alpha, problemsize)
 
-  call write_densities_file_standard(num_mesh_points, abcissa, weight, rho, drho, ddrho)
+  call write_densities_file_standard(num_mesh_points, abcissa, weight, rho, drho, ddrho, tau)
 
   ! write wave functions and eventually invert to have positive starting gradient
   call write_waves_file_standard(num_mesh_points, abcissa, weight, alpha, num_alpha, poly_order,&