FEATool  v1.9
Finite Element Analysis Toolbox
sf_hex_Q5.m File Reference

Description

SF_HEX_Q5 Triquintic conforming shape function for hexahedrons (Q5).

[ VBASE, NLDOF, XLDOF, SFUN ] = SF_HEX_Q5( I_EVAL, N_SDIM, N_VERT, I_DOF, XI, AINVJAC, VBASE ) Evaluates conforming triquintic Q5 shape functions on hexahedrons with values defined in the nodes, edges, faces, and cell center. XI is [-1..1]^3 reference coordinates.

Input       Value/[Size]           Description
-----------------------------------------------------------------------------------
i_eval      scalar:  1             Evaluate function values
                    >1             Evaluate values of derivatives
n_sdim      scalar:  3             Number of space dimensions
n_vert      scalar:  8             Number of vertices per cell
i_dof       scalar: 1-n_ldof       Local basis function to evaluate
xi          [n_sdim]               Local coordinates of evaluation point
aInvJac     [n,n_sdim*n_sdim]      Inverse of transformation Jacobian
vBase       [n]                    Preallocated output vector
                                                                                  .
Output      Value/[Size]           Description
-----------------------------------------------------------------------------------
vBase       [n]                    Evaluated function values
nLDof       [4]                    Number of local degrees of freedom on
                                   vertices, edges, faces, and cell interiors
xLDof       [n_sdim,n_ldof]        Local coordinates of local dofs
sfun        string                 Function name of called shape function
See also
sflag5, sf_hex_Q1

Code listing

 nLDof = [8 48 96 64];
 xLDof = [-1  1  1 -1 -1  1 1 -1 -3/5    1 3/5  -1   -1    1    1   -1 -3/5    1 3/5  -1 -1/5    1 1/5  -1   -1    1    1   -1 -1/5    1 1/5  -1 1/5   1 -1/5   -1  -1   1   1  -1 1/5   1 -1/5   -1 3/5   1 -3/5   -1  -1   1   1  -1 3/5   1 -3/5   -1 -3/5 -3/5    1  3/5   -1 -3/5 -1/5 -1/5    1  1/5   -1 -1/5  1/5  1/5    1 -1/5   -1  1/5  3/5  3/5    1 -3/5   -1  3/5  3/5  3/5    1 -3/5   -1  3/5 3/5 3/5   1 -3/5   -1 3/5 3/5 3/5   1 -3/5   -1 3/5 1/5 1/5   1 -1/5   -1 1/5 -1/5 -1/5    1 1/5  -1 -1/5 -3/5 -3/5    1 3/5  -1 -3/5 -3/5 -3/5    1 3/5  -1 -3/5 -3/5 -3/5    1  3/5   -1 -3/5 -1/5 -1/5    1  1/5   -1 -1/5  1/5  1/5    1 -1/5   -1  1/5 1/5 1/5   1 -1/5   -1 1/5 -1/5 -1/5    1 1/5  -1 -1/5 -3/5 -1/5  1/5  3/5 -3/5 -1/5  1/5  3/5 -3/5 -1/5  1/5  3/5 -3/5 -1/5  1/5  3/5 -3/5 -1/5  1/5  3/5 -3/5 -1/5  1/5  3/5 -3/5 -1/5  1/5  3/5 -3/5 -1/5  1/5  3/5 -3/5 -1/5  1/5  3/5 -3/5 -1/5  1/5  3/5 -3/5 -1/5 1/5 3/5 -3/5 -1/5 1/5 3/5 -3/5 -1/5  1/5  3/5 -3/5 -1/5  1/5  3/5 -3/5 -1/5 1/5 3/5 -3/5 -1/5 1/5 3/5;
          -1 -1  1  1 -1 -1 1  1   -1 -3/5   1 3/5   -1   -1    1    1   -1 -3/5   1 3/5   -1 -1/5   1 1/5   -1   -1    1    1   -1 -1/5   1 1/5  -1 1/5    1 -1/5  -1  -1   1   1  -1 1/5    1 -1/5  -1 3/5    1 -3/5  -1  -1   1   1  -1 3/5    1 -3/5 -3/5   -1 -3/5    1  3/5 -3/5 -3/5   -1 -1/5    1  1/5 -3/5 -3/5   -1  1/5    1 -1/5 -3/5 -3/5   -1  3/5    1 -3/5 -3/5 -1/5   -1  3/5    1 -3/5 -1/5 1/5  -1 3/5    1 -3/5 1/5 3/5  -1 3/5    1 -3/5 3/5 3/5  -1 1/5    1 -1/5 3/5  3/5   -1 -1/5   1 1/5  3/5  3/5   -1 -3/5   1 3/5  3/5  1/5   -1 -3/5   1 3/5  1/5 -1/5   -1 -3/5    1  3/5 -1/5 -1/5   -1 -1/5    1  1/5 -1/5 -1/5   -1  1/5    1 -1/5 -1/5 1/5  -1 1/5    1 -1/5 1/5  1/5   -1 -1/5   1 1/5  1/5 -3/5 -3/5 -3/5 -3/5 -1/5 -1/5 -1/5 -1/5  1/5  1/5  1/5  1/5  3/5  3/5  3/5  3/5 -3/5 -3/5 -3/5 -3/5 -1/5 -1/5 -1/5 -1/5  1/5  1/5  1/5  1/5  3/5  3/5  3/5  3/5 -3/5 -3/5 -3/5 -3/5 -1/5 -1/5 -1/5 -1/5  1/5  1/5 1/5 1/5  3/5  3/5 3/5 3/5 -3/5 -3/5 -3/5 -3/5 -1/5 -1/5 -1/5 -1/5  1/5  1/5 1/5 1/5  3/5  3/5 3/5 3/5;
          -1 -1 -1 -1  1  1 1  1   -1   -1  -1  -1 -3/5 -3/5 -3/5 -3/5    1    1   1   1   -1   -1  -1  -1 -1/5 -1/5 -1/5 -1/5    1    1   1   1  -1  -1   -1   -1 1/5 1/5 1/5 1/5   1   1    1    1  -1  -1   -1   -1 3/5 3/5 3/5 3/5   1   1    1    1   -1 -3/5 -3/5 -3/5 -3/5    1   -1 -3/5 -3/5 -3/5 -3/5    1   -1 -3/5 -3/5 -3/5 -3/5    1   -1 -3/5 -3/5 -3/5 -3/5    1   -1 -1/5 -1/5 -1/5 -1/5    1  -1 1/5 1/5  1/5  1/5   1  -1 3/5 3/5  3/5  3/5   1  -1 3/5 3/5  3/5  3/5   1   -1  3/5  3/5 3/5 3/5    1   -1  3/5  3/5 3/5 3/5    1   -1  1/5  1/5 1/5 1/5    1   -1 -1/5 -1/5 -1/5 -1/5    1   -1 -1/5 -1/5 -1/5 -1/5    1   -1 -1/5 -1/5 -1/5 -1/5    1  -1 1/5 1/5  1/5  1/5   1   -1  1/5  1/5 1/5 1/5    1 -3/5 -3/5 -3/5 -3/5 -3/5 -3/5 -3/5 -3/5 -3/5 -3/5 -3/5 -3/5 -3/5 -3/5 -3/5 -3/5 -1/5 -1/5 -1/5 -1/5 -1/5 -1/5 -1/5 -1/5 -1/5 -1/5 -1/5 -1/5 -1/5 -1/5 -1/5 -1/5  1/5  1/5  1/5  1/5  1/5  1/5  1/5  1/5  1/5  1/5 1/5 1/5  1/5  1/5 1/5 1/5  3/5  3/5  3/5  3/5  3/5  3/5  3/5  3/5  3/5  3/5 3/5 3/5  3/5  3/5 3/5 3/5];
 sfun  = 'sf_hex_Q5';


 switch i_eval

   case 1

     switch i_dof

       case 1
         vBase = -((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9))/452984832;
       case 2
         vBase = ((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9))/452984832;
       case 3
         vBase = -((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9))/452984832;
       case 4
         vBase = ((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9))/452984832;
       case 5
         vBase = ((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9))/452984832;
       case 6
         vBase = -((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9))/452984832;
       case 7
         vBase = ((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9))/452984832;
       case 8
         vBase = -((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9))/452984832;
       case 9
         vBase = ((625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(3125*xi(1)^5 - 1875*xi(1)^4 - 3250*xi(1)^3 + 1950*xi(1)^2 + 125*xi(1) - 75))/452984832;
       case 10
         vBase = -((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(3125*xi(2)^5 - 1875*xi(2)^4 - 3250*xi(2)^3 + 1950*xi(2)^2 + 125*xi(2) - 75))/452984832;
       case 11
         vBase = ((625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(3125*xi(1)^5 + 1875*xi(1)^4 - 3250*xi(1)^3 - 1950*xi(1)^2 + 125*xi(1) + 75))/452984832;
       case 12
         vBase = -((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(3125*xi(2)^5 + 1875*xi(2)^4 - 3250*xi(2)^3 - 1950*xi(2)^2 + 125*xi(2) + 75))/452984832;
       case 13
         vBase = ((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(3125*xi(3)^5 - 1875*xi(3)^4 - 3250*xi(3)^3 + 1950*xi(3)^2 + 125*xi(3) - 75))/452984832;
       case 14
         vBase = -((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(3125*xi(3)^5 - 1875*xi(3)^4 - 3250*xi(3)^3 + 1950*xi(3)^2 + 125*xi(3) - 75))/452984832;
       case 15
         vBase = ((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(3125*xi(3)^5 - 1875*xi(3)^4 - 3250*xi(3)^3 + 1950*xi(3)^2 + 125*xi(3) - 75))/452984832;
       case 16
         vBase = -((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(3125*xi(3)^5 - 1875*xi(3)^4 - 3250*xi(3)^3 + 1950*xi(3)^2 + 125*xi(3) - 75))/452984832;
       case 17
         vBase = -((625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(3125*xi(1)^5 - 1875*xi(1)^4 - 3250*xi(1)^3 + 1950*xi(1)^2 + 125*xi(1) - 75))/452984832;
       case 18
         vBase = ((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(3125*xi(2)^5 - 1875*xi(2)^4 - 3250*xi(2)^3 + 1950*xi(2)^2 + 125*xi(2) - 75))/452984832;
       case 19
         vBase = -((625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(3125*xi(1)^5 + 1875*xi(1)^4 - 3250*xi(1)^3 - 1950*xi(1)^2 + 125*xi(1) + 75))/452984832;
       case 20
         vBase = ((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(3125*xi(2)^5 + 1875*xi(2)^4 - 3250*xi(2)^3 - 1950*xi(2)^2 + 125*xi(2) + 75))/452984832;
       case 21
         vBase = -((625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(3125*xi(1)^5 - 625*xi(1)^4 - 4250*xi(1)^3 + 850*xi(1)^2 + 1125*xi(1) - 225))/226492416;
       case 22
         vBase = ((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(3125*xi(2)^5 - 625*xi(2)^4 - 4250*xi(2)^3 + 850*xi(2)^2 + 1125*xi(2) - 225))/226492416;
       case 23
         vBase = -((625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(3125*xi(1)^5 + 625*xi(1)^4 - 4250*xi(1)^3 - 850*xi(1)^2 + 1125*xi(1) + 225))/226492416;
       case 24
         vBase = ((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(3125*xi(2)^5 + 625*xi(2)^4 - 4250*xi(2)^3 - 850*xi(2)^2 + 1125*xi(2) + 225))/226492416;
       case 25
         vBase = -((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(3125*xi(3)^5 - 625*xi(3)^4 - 4250*xi(3)^3 + 850*xi(3)^2 + 1125*xi(3) - 225))/226492416;
       case 26
         vBase = ((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(3125*xi(3)^5 - 625*xi(3)^4 - 4250*xi(3)^3 + 850*xi(3)^2 + 1125*xi(3) - 225))/226492416;
       case 27
         vBase = -((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(3125*xi(3)^5 - 625*xi(3)^4 - 4250*xi(3)^3 + 850*xi(3)^2 + 1125*xi(3) - 225))/226492416;
       case 28
         vBase = ((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(3125*xi(3)^5 - 625*xi(3)^4 - 4250*xi(3)^3 + 850*xi(3)^2 + 1125*xi(3) - 225))/226492416;
       case 29
         vBase = ((625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(3125*xi(1)^5 - 625*xi(1)^4 - 4250*xi(1)^3 + 850*xi(1)^2 + 1125*xi(1) - 225))/226492416;
       case 30
         vBase = -((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(3125*xi(2)^5 - 625*xi(2)^4 - 4250*xi(2)^3 + 850*xi(2)^2 + 1125*xi(2) - 225))/226492416;
       case 31
         vBase = ((625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(3125*xi(1)^5 + 625*xi(1)^4 - 4250*xi(1)^3 - 850*xi(1)^2 + 1125*xi(1) + 225))/226492416;
       case 32
         vBase = -((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(3125*xi(2)^5 + 625*xi(2)^4 - 4250*xi(2)^3 - 850*xi(2)^2 + 1125*xi(2) + 225))/226492416;
       case 33
         vBase = ((625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(3125*xi(1)^5 + 625*xi(1)^4 - 4250*xi(1)^3 - 850*xi(1)^2 + 1125*xi(1) + 225))/226492416;
       case 34
         vBase = -((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(3125*xi(2)^5 + 625*xi(2)^4 - 4250*xi(2)^3 - 850*xi(2)^2 + 1125*xi(2) + 225))/226492416;
       case 35
         vBase = ((625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(3125*xi(1)^5 - 625*xi(1)^4 - 4250*xi(1)^3 + 850*xi(1)^2 + 1125*xi(1) - 225))/226492416;
       case 36
         vBase = -((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(3125*xi(2)^5 - 625*xi(2)^4 - 4250*xi(2)^3 + 850*xi(2)^2 + 1125*xi(2) - 225))/226492416;
       case 37
         vBase = ((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(3125*xi(3)^5 + 625*xi(3)^4 - 4250*xi(3)^3 - 850*xi(3)^2 + 1125*xi(3) + 225))/226492416;
       case 38
         vBase = -((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(3125*xi(3)^5 + 625*xi(3)^4 - 4250*xi(3)^3 - 850*xi(3)^2 + 1125*xi(3) + 225))/226492416;
       case 39
         vBase = ((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(3125*xi(3)^5 + 625*xi(3)^4 - 4250*xi(3)^3 - 850*xi(3)^2 + 1125*xi(3) + 225))/226492416;
       case 40
         vBase = -((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(3125*xi(3)^5 + 625*xi(3)^4 - 4250*xi(3)^3 - 850*xi(3)^2 + 1125*xi(3) + 225))/226492416;
       case 41
         vBase = -((625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(3125*xi(1)^5 + 625*xi(1)^4 - 4250*xi(1)^3 - 850*xi(1)^2 + 1125*xi(1) + 225))/226492416;
       case 42
         vBase = ((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(3125*xi(2)^5 + 625*xi(2)^4 - 4250*xi(2)^3 - 850*xi(2)^2 + 1125*xi(2) + 225))/226492416;
       case 43
         vBase = -((625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(3125*xi(1)^5 - 625*xi(1)^4 - 4250*xi(1)^3 + 850*xi(1)^2 + 1125*xi(1) - 225))/226492416;
       case 44
         vBase = ((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(3125*xi(2)^5 - 625*xi(2)^4 - 4250*xi(2)^3 + 850*xi(2)^2 + 1125*xi(2) - 225))/226492416;
       case 45
         vBase = -((625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(3125*xi(1)^5 + 1875*xi(1)^4 - 3250*xi(1)^3 - 1950*xi(1)^2 + 125*xi(1) + 75))/452984832;
       case 46
         vBase = ((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(3125*xi(2)^5 + 1875*xi(2)^4 - 3250*xi(2)^3 - 1950*xi(2)^2 + 125*xi(2) + 75))/452984832;
       case 47
         vBase = -((625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(3125*xi(1)^5 - 1875*xi(1)^4 - 3250*xi(1)^3 + 1950*xi(1)^2 + 125*xi(1) - 75))/452984832;
       case 48
         vBase = ((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(3125*xi(2)^5 - 1875*xi(2)^4 - 3250*xi(2)^3 + 1950*xi(2)^2 + 125*xi(2) - 75))/452984832;
       case 49
         vBase = -((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(3125*xi(3)^5 + 1875*xi(3)^4 - 3250*xi(3)^3 - 1950*xi(3)^2 + 125*xi(3) + 75))/452984832;
       case 50
         vBase = ((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(3125*xi(3)^5 + 1875*xi(3)^4 - 3250*xi(3)^3 - 1950*xi(3)^2 + 125*xi(3) + 75))/452984832;
       case 51
         vBase = -((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(3125*xi(3)^5 + 1875*xi(3)^4 - 3250*xi(3)^3 - 1950*xi(3)^2 + 125*xi(3) + 75))/452984832;
       case 52
         vBase = ((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(3125*xi(3)^5 + 1875*xi(3)^4 - 3250*xi(3)^3 - 1950*xi(3)^2 + 125*xi(3) + 75))/452984832;
       case 53
         vBase = ((625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(3125*xi(1)^5 + 1875*xi(1)^4 - 3250*xi(1)^3 - 1950*xi(1)^2 + 125*xi(1) + 75))/452984832;
       case 54
         vBase = -((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(3125*xi(2)^5 + 1875*xi(2)^4 - 3250*xi(2)^3 - 1950*xi(2)^2 + 125*xi(2) + 75))/452984832;
       case 55
         vBase = ((625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(3125*xi(1)^5 - 1875*xi(1)^4 - 3250*xi(1)^3 + 1950*xi(1)^2 + 125*xi(1) - 75))/452984832;
       case 56
         vBase = -((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(3125*xi(2)^5 - 1875*xi(2)^4 - 3250*xi(2)^3 + 1950*xi(2)^2 + 125*xi(2) - 75))/452984832;
       case 57
         vBase = -((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(78125*xi(1)^5 - 46875*xi(1)^4 - 81250*xi(1)^3 + 48750*xi(1)^2 + 3125*xi(1) - 1875))/452984832;
       case 58
         vBase = -((125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(78125*xi(1)^5 - 46875*xi(1)^4 - 81250*xi(1)^3 + 48750*xi(1)^2 + 3125*xi(1) - 1875))/452984832;
       case 59
         vBase = ((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(78125*xi(2)^5 - 46875*xi(2)^4 - 81250*xi(2)^3 + 48750*xi(2)^2 + 3125*xi(2) - 1875))/452984832;
       case 60
         vBase = -((125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(78125*xi(1)^5 + 46875*xi(1)^4 - 81250*xi(1)^3 - 48750*xi(1)^2 + 3125*xi(1) + 1875))/452984832;
       case 61
         vBase = ((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(78125*xi(2)^5 + 46875*xi(2)^4 - 81250*xi(2)^3 - 48750*xi(2)^2 + 3125*xi(2) + 1875))/452984832;
       case 62
         vBase = ((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(78125*xi(1)^5 - 46875*xi(1)^4 - 81250*xi(1)^3 + 48750*xi(1)^2 + 3125*xi(1) - 1875))/452984832;
       case 63
         vBase = ((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(78125*xi(1)^5 - 15625*xi(1)^4 - 106250*xi(1)^3 + 21250*xi(1)^2 + 28125*xi(1) - 5625))/226492416;
       case 64
         vBase = ((125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(78125*xi(1)^5 - 15625*xi(1)^4 - 106250*xi(1)^3 + 21250*xi(1)^2 + 28125*xi(1) - 5625))/226492416;
       case 65
         vBase = -((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(78125*xi(2)^5 - 15625*xi(2)^4 - 106250*xi(2)^3 + 21250*xi(2)^2 + 28125*xi(2) - 5625))/226492416;
       case 66
         vBase = ((125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(78125*xi(1)^5 + 15625*xi(1)^4 - 106250*xi(1)^3 - 21250*xi(1)^2 + 28125*xi(1) + 5625))/226492416;
       case 67
         vBase = -((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(78125*xi(2)^5 + 15625*xi(2)^4 - 106250*xi(2)^3 - 21250*xi(2)^2 + 28125*xi(2) + 5625))/226492416;
       case 68
         vBase = -((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(78125*xi(1)^5 - 15625*xi(1)^4 - 106250*xi(1)^3 + 21250*xi(1)^2 + 28125*xi(1) - 5625))/226492416;
       case 69
         vBase = -((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(78125*xi(1)^5 + 15625*xi(1)^4 - 106250*xi(1)^3 - 21250*xi(1)^2 + 28125*xi(1) + 5625))/226492416;
       case 70
         vBase = -((125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(78125*xi(1)^5 + 15625*xi(1)^4 - 106250*xi(1)^3 - 21250*xi(1)^2 + 28125*xi(1) + 5625))/226492416;
       case 71
         vBase = ((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(78125*xi(2)^5 + 15625*xi(2)^4 - 106250*xi(2)^3 - 21250*xi(2)^2 + 28125*xi(2) + 5625))/226492416;
       case 72
         vBase = -((125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(78125*xi(1)^5 - 15625*xi(1)^4 - 106250*xi(1)^3 + 21250*xi(1)^2 + 28125*xi(1) - 5625))/226492416;
       case 73
         vBase = ((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(78125*xi(2)^5 - 15625*xi(2)^4 - 106250*xi(2)^3 + 21250*xi(2)^2 + 28125*xi(2) - 5625))/226492416;
       case 74
         vBase = ((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(78125*xi(1)^5 + 15625*xi(1)^4 - 106250*xi(1)^3 - 21250*xi(1)^2 + 28125*xi(1) + 5625))/226492416;
       case 75
         vBase = ((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(78125*xi(1)^5 + 46875*xi(1)^4 - 81250*xi(1)^3 - 48750*xi(1)^2 + 3125*xi(1) + 1875))/452984832;
       case 76
         vBase = ((125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(78125*xi(1)^5 + 46875*xi(1)^4 - 81250*xi(1)^3 - 48750*xi(1)^2 + 3125*xi(1) + 1875))/452984832;
       case 77
         vBase = -((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(78125*xi(2)^5 + 46875*xi(2)^4 - 81250*xi(2)^3 - 48750*xi(2)^2 + 3125*xi(2) + 1875))/452984832;
       case 78
         vBase = ((125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(78125*xi(1)^5 - 46875*xi(1)^4 - 81250*xi(1)^3 + 48750*xi(1)^2 + 3125*xi(1) - 1875))/452984832;
       case 79
         vBase = -((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(78125*xi(2)^5 - 46875*xi(2)^4 - 81250*xi(2)^3 + 48750*xi(2)^2 + 3125*xi(2) - 1875))/452984832;
       case 80
         vBase = -((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(78125*xi(1)^5 + 46875*xi(1)^4 - 81250*xi(1)^3 - 48750*xi(1)^2 + 3125*xi(1) + 1875))/452984832;
       case 81
         vBase = -((125*xi(1)^5 + 75*xi(1)^4 - 130*xi(1)^3 - 78*xi(1)^2 + 5*xi(1) + 3)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(78125*xi(2)^5 - 15625*xi(2)^4 - 106250*xi(2)^3 + 21250*xi(2)^2 + 28125*xi(2) - 5625))/226492416;
       case 82
         vBase = -((125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(78125*xi(1)^5 + 46875*xi(1)^4 - 81250*xi(1)^3 - 48750*xi(1)^2 + 3125*xi(1) + 1875))/226492416;
       case 83
         vBase = ((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(78125*xi(3)^5 - 15625*xi(3)^4 - 106250*xi(3)^3 + 21250*xi(3)^2 + 28125*xi(3) - 5625))/226492416;
       case 84
         vBase = -((125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(78125*xi(1)^5 - 46875*xi(1)^4 - 81250*xi(1)^3 + 48750*xi(1)^2 + 3125*xi(1) - 1875))/226492416;
       case 85
         vBase = ((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(78125*xi(3)^5 - 15625*xi(3)^4 - 106250*xi(3)^3 + 21250*xi(3)^2 + 28125*xi(3) - 5625))/226492416;
       case 86
         vBase = ((125*xi(1)^5 + 75*xi(1)^4 - 130*xi(1)^3 - 78*xi(1)^2 + 5*xi(1) + 3)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(78125*xi(2)^5 - 15625*xi(2)^4 - 106250*xi(2)^3 + 21250*xi(2)^2 + 28125*xi(2) - 5625))/226492416;
       case 87
         vBase = ((125*xi(1)^5 + 75*xi(1)^4 - 130*xi(1)^3 - 78*xi(1)^2 + 5*xi(1) + 3)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(78125*xi(2)^5 + 15625*xi(2)^4 - 106250*xi(2)^3 - 21250*xi(2)^2 + 28125*xi(2) + 5625))/226492416;
       case 88
         vBase = ((125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(78125*xi(1)^5 + 46875*xi(1)^4 - 81250*xi(1)^3 - 48750*xi(1)^2 + 3125*xi(1) + 1875))/226492416;
       case 89
         vBase = -((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(78125*xi(3)^5 + 15625*xi(3)^4 - 106250*xi(3)^3 - 21250*xi(3)^2 + 28125*xi(3) + 5625))/226492416;
       case 90
         vBase = ((125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(78125*xi(1)^5 - 46875*xi(1)^4 - 81250*xi(1)^3 + 48750*xi(1)^2 + 3125*xi(1) - 1875))/226492416;
       case 91
         vBase = -((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(78125*xi(3)^5 + 15625*xi(3)^4 - 106250*xi(3)^3 - 21250*xi(3)^2 + 28125*xi(3) + 5625))/226492416;
       case 92
         vBase = -((125*xi(1)^5 + 75*xi(1)^4 - 130*xi(1)^3 - 78*xi(1)^2 + 5*xi(1) + 3)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(78125*xi(2)^5 + 15625*xi(2)^4 - 106250*xi(2)^3 - 21250*xi(2)^2 + 28125*xi(2) + 5625))/226492416;
       case 93
         vBase = -((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(78125*xi(1)^5 + 46875*xi(1)^4 - 81250*xi(1)^3 - 48750*xi(1)^2 + 3125*xi(1) + 1875))/452984832;
       case 94
         vBase = -((125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(78125*xi(1)^5 + 46875*xi(1)^4 - 81250*xi(1)^3 - 48750*xi(1)^2 + 3125*xi(1) + 1875))/452984832;
       case 95
         vBase = ((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(78125*xi(2)^5 + 46875*xi(2)^4 - 81250*xi(2)^3 - 48750*xi(2)^2 + 3125*xi(2) + 1875))/452984832;
       case 96
         vBase = -((125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(78125*xi(1)^5 - 46875*xi(1)^4 - 81250*xi(1)^3 + 48750*xi(1)^2 + 3125*xi(1) - 1875))/452984832;
       case 97
         vBase = ((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(78125*xi(2)^5 - 46875*xi(2)^4 - 81250*xi(2)^3 + 48750*xi(2)^2 + 3125*xi(2) - 1875))/452984832;
       case 98
         vBase = ((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(78125*xi(1)^5 + 46875*xi(1)^4 - 81250*xi(1)^3 - 48750*xi(1)^2 + 3125*xi(1) + 1875))/452984832;
       case 99
         vBase = ((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(78125*xi(1)^5 + 15625*xi(1)^4 - 106250*xi(1)^3 - 21250*xi(1)^2 + 28125*xi(1) + 5625))/226492416;
       case 100
         vBase = ((125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(78125*xi(1)^5 + 15625*xi(1)^4 - 106250*xi(1)^3 - 21250*xi(1)^2 + 28125*xi(1) + 5625))/226492416;
       case 101
         vBase = -((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(78125*xi(2)^5 + 15625*xi(2)^4 - 106250*xi(2)^3 - 21250*xi(2)^2 + 28125*xi(2) + 5625))/226492416;
       case 102
         vBase = ((125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(78125*xi(1)^5 - 15625*xi(1)^4 - 106250*xi(1)^3 + 21250*xi(1)^2 + 28125*xi(1) - 5625))/226492416;
       case 103
         vBase = -((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(78125*xi(2)^5 - 15625*xi(2)^4 - 106250*xi(2)^3 + 21250*xi(2)^2 + 28125*xi(2) - 5625))/226492416;
       case 104
         vBase = -((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(78125*xi(1)^5 + 15625*xi(1)^4 - 106250*xi(1)^3 - 21250*xi(1)^2 + 28125*xi(1) + 5625))/226492416;
       case 105
         vBase = -((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(78125*xi(1)^5 - 15625*xi(1)^4 - 106250*xi(1)^3 + 21250*xi(1)^2 + 28125*xi(1) - 5625))/226492416;
       case 106
         vBase = -((125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(78125*xi(1)^5 - 15625*xi(1)^4 - 106250*xi(1)^3 + 21250*xi(1)^2 + 28125*xi(1) - 5625))/226492416;
       case 107
         vBase = ((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(78125*xi(2)^5 - 15625*xi(2)^4 - 106250*xi(2)^3 + 21250*xi(2)^2 + 28125*xi(2) - 5625))/226492416;
       case 108
         vBase = -((125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(78125*xi(1)^5 + 15625*xi(1)^4 - 106250*xi(1)^3 - 21250*xi(1)^2 + 28125*xi(1) + 5625))/226492416;
       case 109
         vBase = ((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(78125*xi(2)^5 + 15625*xi(2)^4 - 106250*xi(2)^3 - 21250*xi(2)^2 + 28125*xi(2) + 5625))/226492416;
       case 110
         vBase = ((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(78125*xi(1)^5 - 15625*xi(1)^4 - 106250*xi(1)^3 + 21250*xi(1)^2 + 28125*xi(1) - 5625))/226492416;
       case 111
         vBase = ((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(78125*xi(1)^5 - 46875*xi(1)^4 - 81250*xi(1)^3 + 48750*xi(1)^2 + 3125*xi(1) - 1875))/452984832;
       case 112
         vBase = ((125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(78125*xi(1)^5 - 46875*xi(1)^4 - 81250*xi(1)^3 + 48750*xi(1)^2 + 3125*xi(1) - 1875))/452984832;
       case 113
         vBase = -((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(78125*xi(2)^5 - 46875*xi(2)^4 - 81250*xi(2)^3 + 48750*xi(2)^2 + 3125*xi(2) - 1875))/452984832;
       case 114
         vBase = ((125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(78125*xi(1)^5 + 46875*xi(1)^4 - 81250*xi(1)^3 - 48750*xi(1)^2 + 3125*xi(1) + 1875))/452984832;
       case 115
         vBase = -((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(78125*xi(2)^5 + 46875*xi(2)^4 - 81250*xi(2)^3 - 48750*xi(2)^2 + 3125*xi(2) + 1875))/452984832;
       case 116
         vBase = -((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(78125*xi(1)^5 - 46875*xi(1)^4 - 81250*xi(1)^3 + 48750*xi(1)^2 + 3125*xi(1) - 1875))/452984832;
       case 117
         vBase = -((125*xi(1)^5 - 75*xi(1)^4 - 130*xi(1)^3 + 78*xi(1)^2 + 5*xi(1) - 3)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(78125*xi(2)^5 + 15625*xi(2)^4 - 106250*xi(2)^3 - 21250*xi(2)^2 + 28125*xi(2) + 5625))/226492416;
       case 118
         vBase = -((125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(78125*xi(1)^5 - 46875*xi(1)^4 - 81250*xi(1)^3 + 48750*xi(1)^2 + 3125*xi(1) - 1875))/226492416;
       case 119
         vBase = ((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(78125*xi(3)^5 + 15625*xi(3)^4 - 106250*xi(3)^3 - 21250*xi(3)^2 + 28125*xi(3) + 5625))/226492416;
       case 120
         vBase = -((125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(78125*xi(1)^5 + 46875*xi(1)^4 - 81250*xi(1)^3 - 48750*xi(1)^2 + 3125*xi(1) + 1875))/226492416;
       case 121
         vBase = ((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(78125*xi(3)^5 + 15625*xi(3)^4 - 106250*xi(3)^3 - 21250*xi(3)^2 + 28125*xi(3) + 5625))/226492416;
       case 122
         vBase = ((125*xi(1)^5 - 75*xi(1)^4 - 130*xi(1)^3 + 78*xi(1)^2 + 5*xi(1) - 3)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(78125*xi(2)^5 + 15625*xi(2)^4 - 106250*xi(2)^3 - 21250*xi(2)^2 + 28125*xi(2) + 5625))/226492416;
       case 123
         vBase = ((125*xi(1)^5 - 75*xi(1)^4 - 130*xi(1)^3 + 78*xi(1)^2 + 5*xi(1) - 3)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(78125*xi(2)^5 - 15625*xi(2)^4 - 106250*xi(2)^3 + 21250*xi(2)^2 + 28125*xi(2) - 5625))/226492416;
       case 124
         vBase = ((125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(78125*xi(1)^5 - 46875*xi(1)^4 - 81250*xi(1)^3 + 48750*xi(1)^2 + 3125*xi(1) - 1875))/226492416;
       case 125
         vBase = -((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(78125*xi(3)^5 - 15625*xi(3)^4 - 106250*xi(3)^3 + 21250*xi(3)^2 + 28125*xi(3) - 5625))/226492416;
       case 126
         vBase = ((125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(78125*xi(1)^5 + 46875*xi(1)^4 - 81250*xi(1)^3 - 48750*xi(1)^2 + 3125*xi(1) + 1875))/226492416;
       case 127
         vBase = -((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(78125*xi(3)^5 - 15625*xi(3)^4 - 106250*xi(3)^3 + 21250*xi(3)^2 + 28125*xi(3) - 5625))/226492416;
       case 128
         vBase = -((125*xi(1)^5 - 75*xi(1)^4 - 130*xi(1)^3 + 78*xi(1)^2 + 5*xi(1) - 3)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(78125*xi(2)^5 - 15625*xi(2)^4 - 106250*xi(2)^3 + 21250*xi(2)^2 + 28125*xi(2) - 5625))/226492416;
       case 129
         vBase = -((125*xi(2)^5 - 25*xi(2)^4 - 170*xi(2)^3 + 34*xi(2)^2 + 45*xi(2) - 9)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(78125*xi(1)^5 - 15625*xi(1)^4 - 106250*xi(1)^3 + 21250*xi(1)^2 + 28125*xi(1) - 5625))/113246208;
       case 130
         vBase = -((125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(78125*xi(1)^5 - 15625*xi(1)^4 - 106250*xi(1)^3 + 21250*xi(1)^2 + 28125*xi(1) - 5625))/113246208;
       case 131
         vBase = ((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(78125*xi(2)^5 - 15625*xi(2)^4 - 106250*xi(2)^3 + 21250*xi(2)^2 + 28125*xi(2) - 5625))/113246208;
       case 132
         vBase = -((125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(78125*xi(1)^5 + 15625*xi(1)^4 - 106250*xi(1)^3 - 21250*xi(1)^2 + 28125*xi(1) + 5625))/113246208;
       case 133
         vBase = ((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(78125*xi(2)^5 + 15625*xi(2)^4 - 106250*xi(2)^3 - 21250*xi(2)^2 + 28125*xi(2) + 5625))/113246208;
       case 134
         vBase = ((125*xi(2)^5 - 25*xi(2)^4 - 170*xi(2)^3 + 34*xi(2)^2 + 45*xi(2) - 9)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(78125*xi(1)^5 - 15625*xi(1)^4 - 106250*xi(1)^3 + 21250*xi(1)^2 + 28125*xi(1) - 5625))/113246208;
       case 135
         vBase = ((125*xi(2)^5 - 25*xi(2)^4 - 170*xi(2)^3 + 34*xi(2)^2 + 45*xi(2) - 9)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(78125*xi(1)^5 + 15625*xi(1)^4 - 106250*xi(1)^3 - 21250*xi(1)^2 + 28125*xi(1) + 5625))/113246208;
       case 136
         vBase = ((125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(78125*xi(1)^5 + 15625*xi(1)^4 - 106250*xi(1)^3 - 21250*xi(1)^2 + 28125*xi(1) + 5625))/113246208;
       case 137
         vBase = -((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(78125*xi(2)^5 + 15625*xi(2)^4 - 106250*xi(2)^3 - 21250*xi(2)^2 + 28125*xi(2) + 5625))/113246208;
       case 138
         vBase = ((125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(78125*xi(1)^5 - 15625*xi(1)^4 - 106250*xi(1)^3 + 21250*xi(1)^2 + 28125*xi(1) - 5625))/113246208;
       case 139
         vBase = -((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(78125*xi(2)^5 - 15625*xi(2)^4 - 106250*xi(2)^3 + 21250*xi(2)^2 + 28125*xi(2) - 5625))/113246208;
       case 140
         vBase = -((125*xi(2)^5 - 25*xi(2)^4 - 170*xi(2)^3 + 34*xi(2)^2 + 45*xi(2) - 9)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(78125*xi(1)^5 + 15625*xi(1)^4 - 106250*xi(1)^3 - 21250*xi(1)^2 + 28125*xi(1) + 5625))/113246208;
       case 141
         vBase = -((125*xi(2)^5 + 25*xi(2)^4 - 170*xi(2)^3 - 34*xi(2)^2 + 45*xi(2) + 9)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(78125*xi(1)^5 + 15625*xi(1)^4 - 106250*xi(1)^3 - 21250*xi(1)^2 + 28125*xi(1) + 5625))/113246208;
       case 142
         vBase = -((125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(78125*xi(1)^5 + 15625*xi(1)^4 - 106250*xi(1)^3 - 21250*xi(1)^2 + 28125*xi(1) + 5625))/113246208;
       case 143
         vBase = ((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(78125*xi(2)^5 + 15625*xi(2)^4 - 106250*xi(2)^3 - 21250*xi(2)^2 + 28125*xi(2) + 5625))/113246208;
       case 144
         vBase = -((125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(78125*xi(1)^5 - 15625*xi(1)^4 - 106250*xi(1)^3 + 21250*xi(1)^2 + 28125*xi(1) - 5625))/113246208;
       case 145
         vBase = ((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(78125*xi(2)^5 - 15625*xi(2)^4 - 106250*xi(2)^3 + 21250*xi(2)^2 + 28125*xi(2) - 5625))/113246208;
       case 146
         vBase = ((125*xi(2)^5 + 25*xi(2)^4 - 170*xi(2)^3 - 34*xi(2)^2 + 45*xi(2) + 9)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(78125*xi(1)^5 + 15625*xi(1)^4 - 106250*xi(1)^3 - 21250*xi(1)^2 + 28125*xi(1) + 5625))/113246208;
       case 147
         vBase = ((125*xi(2)^5 + 25*xi(2)^4 - 170*xi(2)^3 - 34*xi(2)^2 + 45*xi(2) + 9)*(625*xi(3)^5 - 625*xi(3)^4 - 250*xi(3)^3 + 250*xi(3)^2 + 9*xi(3) - 9)*(78125*xi(1)^5 - 15625*xi(1)^4 - 106250*xi(1)^3 + 21250*xi(1)^2 + 28125*xi(1) - 5625))/113246208;
       case 148
         vBase = ((125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(625*xi(2)^5 - 625*xi(2)^4 - 250*xi(2)^3 + 250*xi(2)^2 + 9*xi(2) - 9)*(78125*xi(1)^5 - 15625*xi(1)^4 - 106250*xi(1)^3 + 21250*xi(1)^2 + 28125*xi(1) - 5625))/113246208;
       case 149
         vBase = -((625*xi(1)^5 + 625*xi(1)^4 - 250*xi(1)^3 - 250*xi(1)^2 + 9*xi(1) + 9)*(125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(78125*xi(2)^5 - 15625*xi(2)^4 - 106250*xi(2)^3 + 21250*xi(2)^2 + 28125*xi(2) - 5625))/113246208;
       case 150
         vBase = ((125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(625*xi(2)^5 + 625*xi(2)^4 - 250*xi(2)^3 - 250*xi(2)^2 + 9*xi(2) + 9)*(78125*xi(1)^5 + 15625*xi(1)^4 - 106250*xi(1)^3 - 21250*xi(1)^2 + 28125*xi(1) + 5625))/113246208;
       case 151
         vBase = -((625*xi(1)^5 - 625*xi(1)^4 - 250*xi(1)^3 + 250*xi(1)^2 + 9*xi(1) - 9)*(125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(78125*xi(2)^5 + 15625*xi(2)^4 - 106250*xi(2)^3 - 21250*xi(2)^2 + 28125*xi(2) + 5625))/113246208;
       case 152
         vBase = -((125*xi(2)^5 + 25*xi(2)^4 - 170*xi(2)^3 - 34*xi(2)^2 + 45*xi(2) + 9)*(625*xi(3)^5 + 625*xi(3)^4 - 250*xi(3)^3 - 250*xi(3)^2 + 9*xi(3) + 9)*(78125*xi(1)^5 - 15625*xi(1)^4 - 106250*xi(1)^3 + 21250*xi(1)^2 + 28125*xi(1) - 5625))/113246208;
       case 153
         vBase = ((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(1953125*xi(1)^5 - 1171875*xi(1)^4 - 2031250*xi(1)^3 + 1218750*xi(1)^2 + 78125*xi(1) - 46875))/452984832;
       case 154
         vBase = -((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(1953125*xi(1)^5 - 390625*xi(1)^4 - 2656250*xi(1)^3 + 531250*xi(1)^2 + 703125*xi(1) - 140625))/226492416;
       case 155
         vBase = ((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(1953125*xi(1)^5 + 390625*xi(1)^4 - 2656250*xi(1)^3 - 531250*xi(1)^2 + 703125*xi(1) + 140625))/226492416;
       case 156
         vBase = -((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(1953125*xi(1)^5 + 1171875*xi(1)^4 - 2031250*xi(1)^3 - 1218750*xi(1)^2 + 78125*xi(1) + 46875))/452984832;
       case 157
         vBase = -((125*xi(1)^5 - 75*xi(1)^4 - 130*xi(1)^3 + 78*xi(1)^2 + 5*xi(1) - 3)*(125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(1953125*xi(2)^5 - 390625*xi(2)^4 - 2656250*xi(2)^3 + 531250*xi(2)^2 + 703125*xi(2) - 140625))/226492416;
       case 158
         vBase = ((125*xi(2)^5 - 25*xi(2)^4 - 170*xi(2)^3 + 34*xi(2)^2 + 45*xi(2) - 9)*(125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(1953125*xi(1)^5 - 390625*xi(1)^4 - 2656250*xi(1)^3 + 531250*xi(1)^2 + 703125*xi(1) - 140625))/113246208;
       case 159
         vBase = -((125*xi(2)^5 - 25*xi(2)^4 - 170*xi(2)^3 + 34*xi(2)^2 + 45*xi(2) - 9)*(125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(1953125*xi(1)^5 + 390625*xi(1)^4 - 2656250*xi(1)^3 - 531250*xi(1)^2 + 703125*xi(1) + 140625))/113246208;
       case 160
         vBase = ((125*xi(1)^5 + 75*xi(1)^4 - 130*xi(1)^3 - 78*xi(1)^2 + 5*xi(1) + 3)*(125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(1953125*xi(2)^5 - 390625*xi(2)^4 - 2656250*xi(2)^3 + 531250*xi(2)^2 + 703125*xi(2) - 140625))/226492416;
       case 161
         vBase = ((125*xi(1)^5 - 75*xi(1)^4 - 130*xi(1)^3 + 78*xi(1)^2 + 5*xi(1) - 3)*(125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(1953125*xi(2)^5 + 390625*xi(2)^4 - 2656250*xi(2)^3 - 531250*xi(2)^2 + 703125*xi(2) + 140625))/226492416;
       case 162
         vBase = -((125*xi(2)^5 + 25*xi(2)^4 - 170*xi(2)^3 - 34*xi(2)^2 + 45*xi(2) + 9)*(125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(1953125*xi(1)^5 - 390625*xi(1)^4 - 2656250*xi(1)^3 + 531250*xi(1)^2 + 703125*xi(1) - 140625))/113246208;
       case 163
         vBase = ((125*xi(2)^5 + 25*xi(2)^4 - 170*xi(2)^3 - 34*xi(2)^2 + 45*xi(2) + 9)*(125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(1953125*xi(1)^5 + 390625*xi(1)^4 - 2656250*xi(1)^3 - 531250*xi(1)^2 + 703125*xi(1) + 140625))/113246208;
       case 164
         vBase = -((125*xi(1)^5 + 75*xi(1)^4 - 130*xi(1)^3 - 78*xi(1)^2 + 5*xi(1) + 3)*(125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(1953125*xi(2)^5 + 390625*xi(2)^4 - 2656250*xi(2)^3 - 531250*xi(2)^2 + 703125*xi(2) + 140625))/226492416;
       case 165
         vBase = -((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(1953125*xi(1)^5 - 1171875*xi(1)^4 - 2031250*xi(1)^3 + 1218750*xi(1)^2 + 78125*xi(1) - 46875))/452984832;
       case 166
         vBase = ((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(1953125*xi(1)^5 - 390625*xi(1)^4 - 2656250*xi(1)^3 + 531250*xi(1)^2 + 703125*xi(1) - 140625))/226492416;
       case 167
         vBase = -((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(1953125*xi(1)^5 + 390625*xi(1)^4 - 2656250*xi(1)^3 - 531250*xi(1)^2 + 703125*xi(1) + 140625))/226492416;
       case 168
         vBase = ((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(125*xi(3)^5 - 75*xi(3)^4 - 130*xi(3)^3 + 78*xi(3)^2 + 5*xi(3) - 3)*(1953125*xi(1)^5 + 1171875*xi(1)^4 - 2031250*xi(1)^3 - 1218750*xi(1)^2 + 78125*xi(1) + 46875))/452984832;
       case 169
         vBase = -((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(1953125*xi(1)^5 - 1171875*xi(1)^4 - 2031250*xi(1)^3 + 1218750*xi(1)^2 + 78125*xi(1) - 46875))/226492416;
       case 170
         vBase = ((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(1953125*xi(1)^5 - 390625*xi(1)^4 - 2656250*xi(1)^3 + 531250*xi(1)^2 + 703125*xi(1) - 140625))/113246208;
       case 171
         vBase = -((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(1953125*xi(1)^5 + 390625*xi(1)^4 - 2656250*xi(1)^3 - 531250*xi(1)^2 + 703125*xi(1) + 140625))/113246208;
       case 172
         vBase = ((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(1953125*xi(1)^5 + 1171875*xi(1)^4 - 2031250*xi(1)^3 - 1218750*xi(1)^2 + 78125*xi(1) + 46875))/226492416;
       case 173
         vBase = ((125*xi(1)^5 - 75*xi(1)^4 - 130*xi(1)^3 + 78*xi(1)^2 + 5*xi(1) - 3)*(125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(1953125*xi(2)^5 - 390625*xi(2)^4 - 2656250*xi(2)^3 + 531250*xi(2)^2 + 703125*xi(2) - 140625))/113246208;
       case 174
         vBase = -((125*xi(2)^5 - 25*xi(2)^4 - 170*xi(2)^3 + 34*xi(2)^2 + 45*xi(2) - 9)*(125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(1953125*xi(1)^5 - 390625*xi(1)^4 - 2656250*xi(1)^3 + 531250*xi(1)^2 + 703125*xi(1) - 140625))/56623104;
       case 175
         vBase = ((125*xi(2)^5 - 25*xi(2)^4 - 170*xi(2)^3 + 34*xi(2)^2 + 45*xi(2) - 9)*(125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(1953125*xi(1)^5 + 390625*xi(1)^4 - 2656250*xi(1)^3 - 531250*xi(1)^2 + 703125*xi(1) + 140625))/56623104;
       case 176
         vBase = -((125*xi(1)^5 + 75*xi(1)^4 - 130*xi(1)^3 - 78*xi(1)^2 + 5*xi(1) + 3)*(125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(1953125*xi(2)^5 - 390625*xi(2)^4 - 2656250*xi(2)^3 + 531250*xi(2)^2 + 703125*xi(2) - 140625))/113246208;
       case 177
         vBase = -((125*xi(1)^5 - 75*xi(1)^4 - 130*xi(1)^3 + 78*xi(1)^2 + 5*xi(1) - 3)*(125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(1953125*xi(2)^5 + 390625*xi(2)^4 - 2656250*xi(2)^3 - 531250*xi(2)^2 + 703125*xi(2) + 140625))/113246208;
       case 178
         vBase = ((125*xi(2)^5 + 25*xi(2)^4 - 170*xi(2)^3 - 34*xi(2)^2 + 45*xi(2) + 9)*(125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(1953125*xi(1)^5 - 390625*xi(1)^4 - 2656250*xi(1)^3 + 531250*xi(1)^2 + 703125*xi(1) - 140625))/56623104;
       case 179
         vBase = -((125*xi(2)^5 + 25*xi(2)^4 - 170*xi(2)^3 - 34*xi(2)^2 + 45*xi(2) + 9)*(125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(1953125*xi(1)^5 + 390625*xi(1)^4 - 2656250*xi(1)^3 - 531250*xi(1)^2 + 703125*xi(1) + 140625))/56623104;
       case 180
         vBase = ((125*xi(1)^5 + 75*xi(1)^4 - 130*xi(1)^3 - 78*xi(1)^2 + 5*xi(1) + 3)*(125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(1953125*xi(2)^5 + 390625*xi(2)^4 - 2656250*xi(2)^3 - 531250*xi(2)^2 + 703125*xi(2) + 140625))/113246208;
       case 181
         vBase = ((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(1953125*xi(1)^5 - 1171875*xi(1)^4 - 2031250*xi(1)^3 + 1218750*xi(1)^2 + 78125*xi(1) - 46875))/226492416;
       case 182
         vBase = -((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(1953125*xi(1)^5 - 390625*xi(1)^4 - 2656250*xi(1)^3 + 531250*xi(1)^2 + 703125*xi(1) - 140625))/113246208;
       case 183
         vBase = ((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(1953125*xi(1)^5 + 390625*xi(1)^4 - 2656250*xi(1)^3 - 531250*xi(1)^2 + 703125*xi(1) + 140625))/113246208;
       case 184
         vBase = -((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(125*xi(3)^5 - 25*xi(3)^4 - 170*xi(3)^3 + 34*xi(3)^2 + 45*xi(3) - 9)*(1953125*xi(1)^5 + 1171875*xi(1)^4 - 2031250*xi(1)^3 - 1218750*xi(1)^2 + 78125*xi(1) + 46875))/226492416;
       case 185
         vBase = ((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(1953125*xi(1)^5 - 1171875*xi(1)^4 - 2031250*xi(1)^3 + 1218750*xi(1)^2 + 78125*xi(1) - 46875))/226492416;
       case 186
         vBase = -((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(1953125*xi(1)^5 - 390625*xi(1)^4 - 2656250*xi(1)^3 + 531250*xi(1)^2 + 703125*xi(1) - 140625))/113246208;
       case 187
         vBase = ((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(1953125*xi(1)^5 + 390625*xi(1)^4 - 2656250*xi(1)^3 - 531250*xi(1)^2 + 703125*xi(1) + 140625))/113246208;
       case 188
         vBase = -((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(1953125*xi(1)^5 + 1171875*xi(1)^4 - 2031250*xi(1)^3 - 1218750*xi(1)^2 + 78125*xi(1) + 46875))/226492416;
       case 189
         vBase = -((125*xi(1)^5 - 75*xi(1)^4 - 130*xi(1)^3 + 78*xi(1)^2 + 5*xi(1) - 3)*(125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(1953125*xi(2)^5 - 390625*xi(2)^4 - 2656250*xi(2)^3 + 531250*xi(2)^2 + 703125*xi(2) - 140625))/113246208;
       case 190
         vBase = ((125*xi(2)^5 - 25*xi(2)^4 - 170*xi(2)^3 + 34*xi(2)^2 + 45*xi(2) - 9)*(125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(1953125*xi(1)^5 - 390625*xi(1)^4 - 2656250*xi(1)^3 + 531250*xi(1)^2 + 703125*xi(1) - 140625))/56623104;
       case 191
         vBase = -((125*xi(2)^5 - 25*xi(2)^4 - 170*xi(2)^3 + 34*xi(2)^2 + 45*xi(2) - 9)*(125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(1953125*xi(1)^5 + 390625*xi(1)^4 - 2656250*xi(1)^3 - 531250*xi(1)^2 + 703125*xi(1) + 140625))/56623104;
       case 192
         vBase = ((125*xi(1)^5 + 75*xi(1)^4 - 130*xi(1)^3 - 78*xi(1)^2 + 5*xi(1) + 3)*(125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(1953125*xi(2)^5 - 390625*xi(2)^4 - 2656250*xi(2)^3 + 531250*xi(2)^2 + 703125*xi(2) - 140625))/113246208;
       case 193
         vBase = ((125*xi(1)^5 - 75*xi(1)^4 - 130*xi(1)^3 + 78*xi(1)^2 + 5*xi(1) - 3)*(125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(1953125*xi(2)^5 + 390625*xi(2)^4 - 2656250*xi(2)^3 - 531250*xi(2)^2 + 703125*xi(2) + 140625))/113246208;
       case 194
         vBase = -((125*xi(2)^5 + 25*xi(2)^4 - 170*xi(2)^3 - 34*xi(2)^2 + 45*xi(2) + 9)*(125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(1953125*xi(1)^5 - 390625*xi(1)^4 - 2656250*xi(1)^3 + 531250*xi(1)^2 + 703125*xi(1) - 140625))/56623104;
       case 195
         vBase = ((125*xi(2)^5 + 25*xi(2)^4 - 170*xi(2)^3 - 34*xi(2)^2 + 45*xi(2) + 9)*(125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(1953125*xi(1)^5 + 390625*xi(1)^4 - 2656250*xi(1)^3 - 531250*xi(1)^2 + 703125*xi(1) + 140625))/56623104;
       case 196
         vBase = -((125*xi(1)^5 + 75*xi(1)^4 - 130*xi(1)^3 - 78*xi(1)^2 + 5*xi(1) + 3)*(125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(1953125*xi(2)^5 + 390625*xi(2)^4 - 2656250*xi(2)^3 - 531250*xi(2)^2 + 703125*xi(2) + 140625))/113246208;
       case 197
         vBase = -((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(1953125*xi(1)^5 - 1171875*xi(1)^4 - 2031250*xi(1)^3 + 1218750*xi(1)^2 + 78125*xi(1) - 46875))/226492416;
       case 198
         vBase = ((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(1953125*xi(1)^5 - 390625*xi(1)^4 - 2656250*xi(1)^3 + 531250*xi(1)^2 + 703125*xi(1) - 140625))/113246208;
       case 199
         vBase = -((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(1953125*xi(1)^5 + 390625*xi(1)^4 - 2656250*xi(1)^3 - 531250*xi(1)^2 + 703125*xi(1) + 140625))/113246208;
       case 200
         vBase = ((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(125*xi(3)^5 + 25*xi(3)^4 - 170*xi(3)^3 - 34*xi(3)^2 + 45*xi(3) + 9)*(1953125*xi(1)^5 + 1171875*xi(1)^4 - 2031250*xi(1)^3 - 1218750*xi(1)^2 + 78125*xi(1) + 46875))/226492416;
       case 201
         vBase = -((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(1953125*xi(1)^5 - 1171875*xi(1)^4 - 2031250*xi(1)^3 + 1218750*xi(1)^2 + 78125*xi(1) - 46875))/452984832;
       case 202
         vBase = ((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(1953125*xi(1)^5 - 390625*xi(1)^4 - 2656250*xi(1)^3 + 531250*xi(1)^2 + 703125*xi(1) - 140625))/226492416;
       case 203
         vBase = -((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(1953125*xi(1)^5 + 390625*xi(1)^4 - 2656250*xi(1)^3 - 531250*xi(1)^2 + 703125*xi(1) + 140625))/226492416;
       case 204
         vBase = ((125*xi(2)^5 - 75*xi(2)^4 - 130*xi(2)^3 + 78*xi(2)^2 + 5*xi(2) - 3)*(125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(1953125*xi(1)^5 + 1171875*xi(1)^4 - 2031250*xi(1)^3 - 1218750*xi(1)^2 + 78125*xi(1) + 46875))/452984832;
       case 205
         vBase = ((125*xi(1)^5 - 75*xi(1)^4 - 130*xi(1)^3 + 78*xi(1)^2 + 5*xi(1) - 3)*(125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(1953125*xi(2)^5 - 390625*xi(2)^4 - 2656250*xi(2)^3 + 531250*xi(2)^2 + 703125*xi(2) - 140625))/226492416;
       case 206
         vBase = -((125*xi(2)^5 - 25*xi(2)^4 - 170*xi(2)^3 + 34*xi(2)^2 + 45*xi(2) - 9)*(125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(1953125*xi(1)^5 - 390625*xi(1)^4 - 2656250*xi(1)^3 + 531250*xi(1)^2 + 703125*xi(1) - 140625))/113246208;
       case 207
         vBase = ((125*xi(2)^5 - 25*xi(2)^4 - 170*xi(2)^3 + 34*xi(2)^2 + 45*xi(2) - 9)*(125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(1953125*xi(1)^5 + 390625*xi(1)^4 - 2656250*xi(1)^3 - 531250*xi(1)^2 + 703125*xi(1) + 140625))/113246208;
       case 208
         vBase = -((125*xi(1)^5 + 75*xi(1)^4 - 130*xi(1)^3 - 78*xi(1)^2 + 5*xi(1) + 3)*(125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(1953125*xi(2)^5 - 390625*xi(2)^4 - 2656250*xi(2)^3 + 531250*xi(2)^2 + 703125*xi(2) - 140625))/226492416;
       case 209
         vBase = -((125*xi(1)^5 - 75*xi(1)^4 - 130*xi(1)^3 + 78*xi(1)^2 + 5*xi(1) - 3)*(125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(1953125*xi(2)^5 + 390625*xi(2)^4 - 2656250*xi(2)^3 - 531250*xi(2)^2 + 703125*xi(2) + 140625))/226492416;
       case 210
         vBase = ((125*xi(2)^5 + 25*xi(2)^4 - 170*xi(2)^3 - 34*xi(2)^2 + 45*xi(2) + 9)*(125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(1953125*xi(1)^5 - 390625*xi(1)^4 - 2656250*xi(1)^3 + 531250*xi(1)^2 + 703125*xi(1) - 140625))/113246208;
       case 211
         vBase = -((125*xi(2)^5 + 25*xi(2)^4 - 170*xi(2)^3 - 34*xi(2)^2 + 45*xi(2) + 9)*(125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(1953125*xi(1)^5 + 390625*xi(1)^4 - 2656250*xi(1)^3 - 531250*xi(1)^2 + 703125*xi(1) + 140625))/113246208;
       case 212
         vBase = ((125*xi(1)^5 + 75*xi(1)^4 - 130*xi(1)^3 - 78*xi(1)^2 + 5*xi(1) + 3)*(125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(1953125*xi(2)^5 + 390625*xi(2)^4 - 2656250*xi(2)^3 - 531250*xi(2)^2 + 703125*xi(2) + 140625))/226492416;
       case 213
         vBase = ((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(1953125*xi(1)^5 - 1171875*xi(1)^4 - 2031250*xi(1)^3 + 1218750*xi(1)^2 + 78125*xi(1) - 46875))/452984832;
       case 214
         vBase = -((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(1953125*xi(1)^5 - 390625*xi(1)^4 - 2656250*xi(1)^3 + 531250*xi(1)^2 + 703125*xi(1) - 140625))/226492416;
       case 215
         vBase = ((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(1953125*xi(1)^5 + 390625*xi(1)^4 - 2656250*xi(1)^3 - 531250*xi(1)^2 + 703125*xi(1) + 140625))/226492416;
       case 216
         vBase = -((125*xi(2)^5 + 75*xi(2)^4 - 130*xi(2)^3 - 78*xi(2)^2 + 5*xi(2) + 3)*(125*xi(3)^5 + 75*xi(3)^4 - 130*xi(3)^3 - 78*xi(3)^2 + 5*xi(3) + 3)*(1953125*xi(1)^5 + 1171875*xi(1)^4 - 2031250*xi(1)^3 - 1218750*xi(1)^2 + 78125*xi(1) + 46875))/452984832;
     end

   case {2,3,4}

     switch i_dof
       case 1
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) - 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/452984832;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) - 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/452984832;
         dNdxi3 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) - 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/452984832;
       case 2
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) - 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/452984832;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) - 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/452984832;
         dNdxi3 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) - 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/452984832;
       case 3
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) - 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/452984832;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) - 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/452984832;
         dNdxi3 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/452984832;
       case 4
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) - 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/452984832;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) - 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/452984832;
         dNdxi3 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/452984832;
       case 5
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/452984832;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/452984832;
         dNdxi3 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) - 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/452984832;
       case 6
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/452984832;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/452984832;
         dNdxi3 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) - 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/452984832;
       case 7
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/452984832;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/452984832;
         dNdxi3 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/452984832;
       case 8
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/452984832;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/452984832;
         dNdxi3 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/452984832;
       case 9
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) - 1)*(15625*xi(1)^4 - 7500*xi(1)^3 - 9750*xi(1)^2 + 3900*xi(1) + 125))/452984832;
         dNdxi2 = (25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/452984832;
         dNdxi3 = (25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/452984832;
       case 10
         dNdxi1 = -(25*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/452984832;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) - 1)*(15625*xi(2)^4 - 7500*xi(2)^3 - 9750*xi(2)^2 + 3900*xi(2) + 125))/452984832;
         dNdxi3 = -(25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/452984832;
       case 11
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) - 1)*(15625*xi(1)^4 + 7500*xi(1)^3 - 9750*xi(1)^2 - 3900*xi(1) + 125))/452984832;
         dNdxi2 = (25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/452984832;
         dNdxi3 = (25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/452984832;
       case 12
         dNdxi1 = -(25*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/452984832;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) - 1)*(15625*xi(2)^4 + 7500*xi(2)^3 - 9750*xi(2)^2 - 3900*xi(2) + 125))/452984832;
         dNdxi3 = -(25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/452984832;
       case 13
         dNdxi1 = (25*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/452984832;
         dNdxi2 = (25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/452984832;
         dNdxi3 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) - 1)*(15625*xi(3)^4 - 7500*xi(3)^3 - 9750*xi(3)^2 + 3900*xi(3) + 125))/452984832;
       case 14
         dNdxi1 = -(25*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/452984832;
         dNdxi2 = -(25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/452984832;
         dNdxi3 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) - 1)*(15625*xi(3)^4 - 7500*xi(3)^3 - 9750*xi(3)^2 + 3900*xi(3) + 125))/452984832;
       case 15
         dNdxi1 = (25*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/452984832;
         dNdxi2 = (25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/452984832;
         dNdxi3 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) + 1)*(15625*xi(3)^4 - 7500*xi(3)^3 - 9750*xi(3)^2 + 3900*xi(3) + 125))/452984832;
       case 16
         dNdxi1 = -(25*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/452984832;
         dNdxi2 = -(25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/452984832;
         dNdxi3 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) + 1)*(15625*xi(3)^4 - 7500*xi(3)^3 - 9750*xi(3)^2 + 3900*xi(3) + 125))/452984832;
       case 17
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) + 1)*(15625*xi(1)^4 - 7500*xi(1)^3 - 9750*xi(1)^2 + 3900*xi(1) + 125))/452984832;
         dNdxi2 = -(25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/452984832;
         dNdxi3 = -(25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/452984832;
       case 18
         dNdxi1 = (25*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/452984832;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) + 1)*(15625*xi(2)^4 - 7500*xi(2)^3 - 9750*xi(2)^2 + 3900*xi(2) + 125))/452984832;
         dNdxi3 = (25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/452984832;
       case 19
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) + 1)*(15625*xi(1)^4 + 7500*xi(1)^3 - 9750*xi(1)^2 - 3900*xi(1) + 125))/452984832;
         dNdxi2 = -(25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/452984832;
         dNdxi3 = -(25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/452984832;
       case 20
         dNdxi1 = (25*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/452984832;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) + 1)*(15625*xi(2)^4 + 7500*xi(2)^3 - 9750*xi(2)^2 - 3900*xi(2) + 125))/452984832;
         dNdxi3 = (25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/452984832;
       case 21
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) - 1)*(15625*xi(1)^4 - 2500*xi(1)^3 - 12750*xi(1)^2 + 1700*xi(1) + 1125))/226492416;
         dNdxi2 = -(25*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/226492416;
         dNdxi3 = -(25*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/226492416;
       case 22
         dNdxi1 = (25*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/226492416;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) - 1)*(15625*xi(2)^4 - 2500*xi(2)^3 - 12750*xi(2)^2 + 1700*xi(2) + 1125))/226492416;
         dNdxi3 = (25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/226492416;
       case 23
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) - 1)*(15625*xi(1)^4 + 2500*xi(1)^3 - 12750*xi(1)^2 - 1700*xi(1) + 1125))/226492416;
         dNdxi2 = -(25*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/226492416;
         dNdxi3 = -(25*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/226492416;
       case 24
         dNdxi1 = (25*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/226492416;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) - 1)*(15625*xi(2)^4 + 2500*xi(2)^3 - 12750*xi(2)^2 - 1700*xi(2) + 1125))/226492416;
         dNdxi3 = (25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/226492416;
       case 25
         dNdxi1 = -(25*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/226492416;
         dNdxi2 = -(25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/226492416;
         dNdxi3 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) - 1)*(15625*xi(3)^4 - 2500*xi(3)^3 - 12750*xi(3)^2 + 1700*xi(3) + 1125))/226492416;
       case 26
         dNdxi1 = (25*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/226492416;
         dNdxi2 = (25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/226492416;
         dNdxi3 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) - 1)*(15625*xi(3)^4 - 2500*xi(3)^3 - 12750*xi(3)^2 + 1700*xi(3) + 1125))/226492416;
       case 27
         dNdxi1 = -(25*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/226492416;
         dNdxi2 = -(25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/226492416;
         dNdxi3 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) + 1)*(15625*xi(3)^4 - 2500*xi(3)^3 - 12750*xi(3)^2 + 1700*xi(3) + 1125))/226492416;
       case 28
         dNdxi1 = (25*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/226492416;
         dNdxi2 = (25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/226492416;
         dNdxi3 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) + 1)*(15625*xi(3)^4 - 2500*xi(3)^3 - 12750*xi(3)^2 + 1700*xi(3) + 1125))/226492416;
       case 29
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) + 1)*(15625*xi(1)^4 - 2500*xi(1)^3 - 12750*xi(1)^2 + 1700*xi(1) + 1125))/226492416;
         dNdxi2 = (25*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/226492416;
         dNdxi3 = (25*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/226492416;
       case 30
         dNdxi1 = -(25*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/226492416;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) + 1)*(15625*xi(2)^4 - 2500*xi(2)^3 - 12750*xi(2)^2 + 1700*xi(2) + 1125))/226492416;
         dNdxi3 = -(25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/226492416;
       case 31
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) + 1)*(15625*xi(1)^4 + 2500*xi(1)^3 - 12750*xi(1)^2 - 1700*xi(1) + 1125))/226492416;
         dNdxi2 = (25*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/226492416;
         dNdxi3 = (25*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/226492416;
       case 32
         dNdxi1 = -(25*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/226492416;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) + 1)*(15625*xi(2)^4 + 2500*xi(2)^3 - 12750*xi(2)^2 - 1700*xi(2) + 1125))/226492416;
         dNdxi3 = -(25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/226492416;
       case 33
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) - 1)*(15625*xi(1)^4 + 2500*xi(1)^3 - 12750*xi(1)^2 - 1700*xi(1) + 1125))/226492416;
         dNdxi2 = (25*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/226492416;
         dNdxi3 = (25*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/226492416;
       case 34
         dNdxi1 = -(25*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/226492416;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) - 1)*(15625*xi(2)^4 + 2500*xi(2)^3 - 12750*xi(2)^2 - 1700*xi(2) + 1125))/226492416;
         dNdxi3 = -(25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/226492416;
       case 35
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) - 1)*(15625*xi(1)^4 - 2500*xi(1)^3 - 12750*xi(1)^2 + 1700*xi(1) + 1125))/226492416;
         dNdxi2 = (25*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/226492416;
         dNdxi3 = (25*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/226492416;
       case 36
         dNdxi1 = -(25*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/226492416;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) - 1)*(15625*xi(2)^4 - 2500*xi(2)^3 - 12750*xi(2)^2 + 1700*xi(2) + 1125))/226492416;
         dNdxi3 = -(25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/226492416;
       case 37
         dNdxi1 = (25*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/226492416;
         dNdxi2 = (25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/226492416;
         dNdxi3 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) - 1)*(15625*xi(3)^4 + 2500*xi(3)^3 - 12750*xi(3)^2 - 1700*xi(3) + 1125))/226492416;
       case 38
         dNdxi1 = -(25*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/226492416;
         dNdxi2 = -(25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/226492416;
         dNdxi3 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) - 1)*(15625*xi(3)^4 + 2500*xi(3)^3 - 12750*xi(3)^2 - 1700*xi(3) + 1125))/226492416;
       case 39
         dNdxi1 = (25*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/226492416;
         dNdxi2 = (25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/226492416;
         dNdxi3 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) + 1)*(15625*xi(3)^4 + 2500*xi(3)^3 - 12750*xi(3)^2 - 1700*xi(3) + 1125))/226492416;
       case 40
         dNdxi1 = -(25*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/226492416;
         dNdxi2 = -(25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/226492416;
         dNdxi3 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) + 1)*(15625*xi(3)^4 + 2500*xi(3)^3 - 12750*xi(3)^2 - 1700*xi(3) + 1125))/226492416;
       case 41
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) + 1)*(15625*xi(1)^4 + 2500*xi(1)^3 - 12750*xi(1)^2 - 1700*xi(1) + 1125))/226492416;
         dNdxi2 = -(25*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/226492416;
         dNdxi3 = -(25*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/226492416;
       case 42
         dNdxi1 = (25*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/226492416;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) + 1)*(15625*xi(2)^4 + 2500*xi(2)^3 - 12750*xi(2)^2 - 1700*xi(2) + 1125))/226492416;
         dNdxi3 = (25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/226492416;
       case 43
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) + 1)*(15625*xi(1)^4 - 2500*xi(1)^3 - 12750*xi(1)^2 + 1700*xi(1) + 1125))/226492416;
         dNdxi2 = -(25*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/226492416;
         dNdxi3 = -(25*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/226492416;
       case 44
         dNdxi1 = (25*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/226492416;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) + 1)*(15625*xi(2)^4 - 2500*xi(2)^3 - 12750*xi(2)^2 + 1700*xi(2) + 1125))/226492416;
         dNdxi3 = (25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/226492416;
       case 45
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) - 1)*(15625*xi(1)^4 + 7500*xi(1)^3 - 9750*xi(1)^2 - 3900*xi(1) + 125))/452984832;
         dNdxi2 = -(25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/452984832;
         dNdxi3 = -(25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/452984832;
       case 46
         dNdxi1 = (25*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/452984832;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) - 1)*(15625*xi(2)^4 + 7500*xi(2)^3 - 9750*xi(2)^2 - 3900*xi(2) + 125))/452984832;
         dNdxi3 = (25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/452984832;
       case 47
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) - 1)*(15625*xi(1)^4 - 7500*xi(1)^3 - 9750*xi(1)^2 + 3900*xi(1) + 125))/452984832;
         dNdxi2 = -(25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/452984832;
         dNdxi3 = -(25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/452984832;
       case 48
         dNdxi1 = (25*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/452984832;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) - 1)*(15625*xi(2)^4 - 7500*xi(2)^3 - 9750*xi(2)^2 + 3900*xi(2) + 125))/452984832;
         dNdxi3 = (25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/452984832;
       case 49
         dNdxi1 = -(25*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/452984832;
         dNdxi2 = -(25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/452984832;
         dNdxi3 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) - 1)*(15625*xi(3)^4 + 7500*xi(3)^3 - 9750*xi(3)^2 - 3900*xi(3) + 125))/452984832;
       case 50
         dNdxi1 = (25*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/452984832;
         dNdxi2 = (25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/452984832;
         dNdxi3 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) - 1)*(15625*xi(3)^4 + 7500*xi(3)^3 - 9750*xi(3)^2 - 3900*xi(3) + 125))/452984832;
       case 51
         dNdxi1 = -(25*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/452984832;
         dNdxi2 = -(25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/452984832;
         dNdxi3 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) + 1)*(15625*xi(3)^4 + 7500*xi(3)^3 - 9750*xi(3)^2 - 3900*xi(3) + 125))/452984832;
       case 52
         dNdxi1 = (25*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/452984832;
         dNdxi2 = (25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/452984832;
         dNdxi3 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) + 1)*(15625*xi(3)^4 + 7500*xi(3)^3 - 9750*xi(3)^2 - 3900*xi(3) + 125))/452984832;
       case 53
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) + 1)*(15625*xi(1)^4 + 7500*xi(1)^3 - 9750*xi(1)^2 - 3900*xi(1) + 125))/452984832;
         dNdxi2 = (25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/452984832;
         dNdxi3 = (25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/452984832;
       case 54
         dNdxi1 = -(25*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/452984832;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) + 1)*(15625*xi(2)^4 + 7500*xi(2)^3 - 9750*xi(2)^2 - 3900*xi(2) + 125))/452984832;
         dNdxi3 = -(25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/452984832;
       case 55
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) + 1)*(15625*xi(1)^4 - 7500*xi(1)^3 - 9750*xi(1)^2 + 3900*xi(1) + 125))/452984832;
         dNdxi2 = (25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/452984832;
         dNdxi3 = (25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/452984832;
       case 56
         dNdxi1 = -(25*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/452984832;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) + 1)*(15625*xi(2)^4 - 7500*xi(2)^3 - 9750*xi(2)^2 + 3900*xi(2) + 125))/452984832;
         dNdxi3 = -(25*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/452984832;
       case 57
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(390625*xi(1)^4 - 187500*xi(1)^3 - 243750*xi(1)^2 + 97500*xi(1) + 3125))/452984832;
         dNdxi2 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/452984832;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/452984832;
       case 58
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 - 187500*xi(1)^3 - 243750*xi(1)^2 + 97500*xi(1) + 3125))/452984832;
         dNdxi2 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/452984832;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/452984832;
       case 59
         dNdxi1 = (625*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/452984832;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(2)^4 - 187500*xi(2)^3 - 243750*xi(2)^2 + 97500*xi(2) + 3125))/452984832;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/452984832;
       case 60
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 + 187500*xi(1)^3 - 243750*xi(1)^2 - 97500*xi(1) + 3125))/452984832;
         dNdxi2 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/452984832;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/452984832;
       case 61
         dNdxi1 = (625*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/452984832;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(2)^4 + 187500*xi(2)^3 - 243750*xi(2)^2 - 97500*xi(2) + 3125))/452984832;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/452984832;
       case 62
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(390625*xi(1)^4 - 187500*xi(1)^3 - 243750*xi(1)^2 + 97500*xi(1) + 3125))/452984832;
         dNdxi2 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/452984832;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/452984832;
       case 63
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(390625*xi(1)^4 - 62500*xi(1)^3 - 318750*xi(1)^2 + 42500*xi(1) + 28125))/226492416;
         dNdxi2 = (625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/226492416;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/226492416;
       case 64
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 - 62500*xi(1)^3 - 318750*xi(1)^2 + 42500*xi(1) + 28125))/226492416;
         dNdxi2 = (625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/226492416;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/226492416;
       case 65
         dNdxi1 = -(625*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/226492416;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(2)^4 - 62500*xi(2)^3 - 318750*xi(2)^2 + 42500*xi(2) + 28125))/226492416;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/226492416;
       case 66
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 + 62500*xi(1)^3 - 318750*xi(1)^2 - 42500*xi(1) + 28125))/226492416;
         dNdxi2 = (625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/226492416;
         dNdxi3 = (625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/226492416;
       case 67
         dNdxi1 = -(625*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/226492416;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(2)^4 + 62500*xi(2)^3 - 318750*xi(2)^2 - 42500*xi(2) + 28125))/226492416;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/226492416;
       case 68
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(390625*xi(1)^4 - 62500*xi(1)^3 - 318750*xi(1)^2 + 42500*xi(1) + 28125))/226492416;
         dNdxi2 = -(625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/226492416;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/226492416;
       case 69
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(390625*xi(1)^4 + 62500*xi(1)^3 - 318750*xi(1)^2 - 42500*xi(1) + 28125))/226492416;
         dNdxi2 = -(625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/226492416;
         dNdxi3 = -(625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/226492416;
       case 70
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 + 62500*xi(1)^3 - 318750*xi(1)^2 - 42500*xi(1) + 28125))/226492416;
         dNdxi2 = -(625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/226492416;
         dNdxi3 = -(625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/226492416;
       case 71
         dNdxi1 = (625*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/226492416;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(2)^4 + 62500*xi(2)^3 - 318750*xi(2)^2 - 42500*xi(2) + 28125))/226492416;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/226492416;
       case 72
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 - 62500*xi(1)^3 - 318750*xi(1)^2 + 42500*xi(1) + 28125))/226492416;
         dNdxi2 = -(625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/226492416;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/226492416;
       case 73
         dNdxi1 = (625*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/226492416;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(2)^4 - 62500*xi(2)^3 - 318750*xi(2)^2 + 42500*xi(2) + 28125))/226492416;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/226492416;
       case 74
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(390625*xi(1)^4 + 62500*xi(1)^3 - 318750*xi(1)^2 - 42500*xi(1) + 28125))/226492416;
         dNdxi2 = (625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/226492416;
         dNdxi3 = (625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/226492416;
       case 75
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(390625*xi(1)^4 + 187500*xi(1)^3 - 243750*xi(1)^2 - 97500*xi(1) + 3125))/452984832;
         dNdxi2 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/452984832;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/452984832;
       case 76
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 + 187500*xi(1)^3 - 243750*xi(1)^2 - 97500*xi(1) + 3125))/452984832;
         dNdxi2 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/452984832;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/452984832;
       case 77
         dNdxi1 = -(625*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/452984832;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(2)^4 + 187500*xi(2)^3 - 243750*xi(2)^2 - 97500*xi(2) + 3125))/452984832;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/452984832;
       case 78
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 - 187500*xi(1)^3 - 243750*xi(1)^2 + 97500*xi(1) + 3125))/452984832;
         dNdxi2 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/452984832;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/452984832;
       case 79
         dNdxi1 = -(625*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/452984832;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(2)^4 - 187500*xi(2)^3 - 243750*xi(2)^2 + 97500*xi(2) + 3125))/452984832;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/452984832;
       case 80
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(390625*xi(1)^4 + 187500*xi(1)^3 - 243750*xi(1)^2 - 97500*xi(1) + 3125))/452984832;
         dNdxi2 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/452984832;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/452984832;
       case 81
         dNdxi1 = -(625*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(625*xi(1)^4 + 300*xi(1)^3 - 390*xi(1)^2 - 156*xi(1) + 5))/226492416;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(390625*xi(2)^4 - 62500*xi(2)^3 - 318750*xi(2)^2 + 42500*xi(2) + 28125))/226492416;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/226492416;
       case 82
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 + 187500*xi(1)^3 - 243750*xi(1)^2 - 97500*xi(1) + 3125))/226492416;
         dNdxi2 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/226492416;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/226492416;
       case 83
         dNdxi1 = (625*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/226492416;
         dNdxi2 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/226492416;
         dNdxi3 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(390625*xi(3)^4 - 62500*xi(3)^3 - 318750*xi(3)^2 + 42500*xi(3) + 28125))/226492416;
       case 84
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 - 187500*xi(1)^3 - 243750*xi(1)^2 + 97500*xi(1) + 3125))/226492416;
         dNdxi2 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/226492416;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/226492416;
       case 85
         dNdxi1 = (625*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/226492416;
         dNdxi2 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/226492416;
         dNdxi3 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(390625*xi(3)^4 - 62500*xi(3)^3 - 318750*xi(3)^2 + 42500*xi(3) + 28125))/226492416;
       case 86
         dNdxi1 = (625*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(625*xi(1)^4 + 300*xi(1)^3 - 390*xi(1)^2 - 156*xi(1) + 5))/226492416;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(390625*xi(2)^4 - 62500*xi(2)^3 - 318750*xi(2)^2 + 42500*xi(2) + 28125))/226492416;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/226492416;
       case 87
         dNdxi1 = (625*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(625*xi(1)^4 + 300*xi(1)^3 - 390*xi(1)^2 - 156*xi(1) + 5))/226492416;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(390625*xi(2)^4 + 62500*xi(2)^3 - 318750*xi(2)^2 - 42500*xi(2) + 28125))/226492416;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/226492416;
       case 88
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 + 187500*xi(1)^3 - 243750*xi(1)^2 - 97500*xi(1) + 3125))/226492416;
         dNdxi2 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/226492416;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/226492416;
       case 89
         dNdxi1 = -(625*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/226492416;
         dNdxi2 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/226492416;
         dNdxi3 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(390625*xi(3)^4 + 62500*xi(3)^3 - 318750*xi(3)^2 - 42500*xi(3) + 28125))/226492416;
       case 90
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 - 187500*xi(1)^3 - 243750*xi(1)^2 + 97500*xi(1) + 3125))/226492416;
         dNdxi2 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/226492416;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/226492416;
       case 91
         dNdxi1 = -(625*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/226492416;
         dNdxi2 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/226492416;
         dNdxi3 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(390625*xi(3)^4 + 62500*xi(3)^3 - 318750*xi(3)^2 - 42500*xi(3) + 28125))/226492416;
       case 92
         dNdxi1 = -(625*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(625*xi(1)^4 + 300*xi(1)^3 - 390*xi(1)^2 - 156*xi(1) + 5))/226492416;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(390625*xi(2)^4 + 62500*xi(2)^3 - 318750*xi(2)^2 - 42500*xi(2) + 28125))/226492416;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/226492416;
       case 93
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(390625*xi(1)^4 + 187500*xi(1)^3 - 243750*xi(1)^2 - 97500*xi(1) + 3125))/452984832;
         dNdxi2 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/452984832;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/452984832;
       case 94
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 + 187500*xi(1)^3 - 243750*xi(1)^2 - 97500*xi(1) + 3125))/452984832;
         dNdxi2 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/452984832;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/452984832;
       case 95
         dNdxi1 = (625*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/452984832;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(2)^4 + 187500*xi(2)^3 - 243750*xi(2)^2 - 97500*xi(2) + 3125))/452984832;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/452984832;
       case 96
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 - 187500*xi(1)^3 - 243750*xi(1)^2 + 97500*xi(1) + 3125))/452984832;
         dNdxi2 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/452984832;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/452984832;
       case 97
         dNdxi1 = (625*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/452984832;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(2)^4 - 187500*xi(2)^3 - 243750*xi(2)^2 + 97500*xi(2) + 3125))/452984832;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/452984832;
       case 98
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(390625*xi(1)^4 + 187500*xi(1)^3 - 243750*xi(1)^2 - 97500*xi(1) + 3125))/452984832;
         dNdxi2 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/452984832;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/452984832;
       case 99
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(390625*xi(1)^4 + 62500*xi(1)^3 - 318750*xi(1)^2 - 42500*xi(1) + 28125))/226492416;
         dNdxi2 = (625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/226492416;
         dNdxi3 = (625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/226492416;
       case 100
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 + 62500*xi(1)^3 - 318750*xi(1)^2 - 42500*xi(1) + 28125))/226492416;
         dNdxi2 = (625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/226492416;
         dNdxi3 = (625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/226492416;
       case 101
         dNdxi1 = -(625*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/226492416;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(2)^4 + 62500*xi(2)^3 - 318750*xi(2)^2 - 42500*xi(2) + 28125))/226492416;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/226492416;
       case 102
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 - 62500*xi(1)^3 - 318750*xi(1)^2 + 42500*xi(1) + 28125))/226492416;
         dNdxi2 = (625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/226492416;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/226492416;
       case 103
         dNdxi1 = -(625*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/226492416;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(2)^4 - 62500*xi(2)^3 - 318750*xi(2)^2 + 42500*xi(2) + 28125))/226492416;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/226492416;
       case 104
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(390625*xi(1)^4 + 62500*xi(1)^3 - 318750*xi(1)^2 - 42500*xi(1) + 28125))/226492416;
         dNdxi2 = -(625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/226492416;
         dNdxi3 = -(625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/226492416;
       case 105
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(390625*xi(1)^4 - 62500*xi(1)^3 - 318750*xi(1)^2 + 42500*xi(1) + 28125))/226492416;
         dNdxi2 = -(625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/226492416;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/226492416;
       case 106
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 - 62500*xi(1)^3 - 318750*xi(1)^2 + 42500*xi(1) + 28125))/226492416;
         dNdxi2 = -(625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/226492416;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/226492416;
       case 107
         dNdxi1 = (625*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/226492416;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(2)^4 - 62500*xi(2)^3 - 318750*xi(2)^2 + 42500*xi(2) + 28125))/226492416;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/226492416;
       case 108
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 + 62500*xi(1)^3 - 318750*xi(1)^2 - 42500*xi(1) + 28125))/226492416;
         dNdxi2 = -(625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/226492416;
         dNdxi3 = -(625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/226492416;
       case 109
         dNdxi1 = (625*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/226492416;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(2)^4 + 62500*xi(2)^3 - 318750*xi(2)^2 - 42500*xi(2) + 28125))/226492416;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/226492416;
       case 110
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(390625*xi(1)^4 - 62500*xi(1)^3 - 318750*xi(1)^2 + 42500*xi(1) + 28125))/226492416;
         dNdxi2 = (625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/226492416;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/226492416;
       case 111
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(390625*xi(1)^4 - 187500*xi(1)^3 - 243750*xi(1)^2 + 97500*xi(1) + 3125))/452984832;
         dNdxi2 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/452984832;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/452984832;
       case 112
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 - 187500*xi(1)^3 - 243750*xi(1)^2 + 97500*xi(1) + 3125))/452984832;
         dNdxi2 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/452984832;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/452984832;
       case 113
         dNdxi1 = -(625*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/452984832;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(2)^4 - 187500*xi(2)^3 - 243750*xi(2)^2 + 97500*xi(2) + 3125))/452984832;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/452984832;
       case 114
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 + 187500*xi(1)^3 - 243750*xi(1)^2 - 97500*xi(1) + 3125))/452984832;
         dNdxi2 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/452984832;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/452984832;
       case 115
         dNdxi1 = -(625*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/452984832;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(2)^4 + 187500*xi(2)^3 - 243750*xi(2)^2 - 97500*xi(2) + 3125))/452984832;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/452984832;
       case 116
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(390625*xi(1)^4 - 187500*xi(1)^3 - 243750*xi(1)^2 + 97500*xi(1) + 3125))/452984832;
         dNdxi2 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/452984832;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/452984832;
       case 117
         dNdxi1 = -(625*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(625*xi(1)^4 - 300*xi(1)^3 - 390*xi(1)^2 + 156*xi(1) + 5))/226492416;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(390625*xi(2)^4 + 62500*xi(2)^3 - 318750*xi(2)^2 - 42500*xi(2) + 28125))/226492416;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/226492416;
       case 118
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 - 187500*xi(1)^3 - 243750*xi(1)^2 + 97500*xi(1) + 3125))/226492416;
         dNdxi2 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/226492416;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/226492416;
       case 119
         dNdxi1 = (625*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/226492416;
         dNdxi2 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/226492416;
         dNdxi3 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(390625*xi(3)^4 + 62500*xi(3)^3 - 318750*xi(3)^2 - 42500*xi(3) + 28125))/226492416;
       case 120
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 + 187500*xi(1)^3 - 243750*xi(1)^2 - 97500*xi(1) + 3125))/226492416;
         dNdxi2 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/226492416;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/226492416;
       case 121
         dNdxi1 = (625*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/226492416;
         dNdxi2 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/226492416;
         dNdxi3 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(390625*xi(3)^4 + 62500*xi(3)^3 - 318750*xi(3)^2 - 42500*xi(3) + 28125))/226492416;
       case 122
         dNdxi1 = (625*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(625*xi(1)^4 - 300*xi(1)^3 - 390*xi(1)^2 + 156*xi(1) + 5))/226492416;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(390625*xi(2)^4 + 62500*xi(2)^3 - 318750*xi(2)^2 - 42500*xi(2) + 28125))/226492416;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/226492416;
       case 123
         dNdxi1 = (625*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(625*xi(1)^4 - 300*xi(1)^3 - 390*xi(1)^2 + 156*xi(1) + 5))/226492416;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(390625*xi(2)^4 - 62500*xi(2)^3 - 318750*xi(2)^2 + 42500*xi(2) + 28125))/226492416;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/226492416;
       case 124
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 - 187500*xi(1)^3 - 243750*xi(1)^2 + 97500*xi(1) + 3125))/226492416;
         dNdxi2 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/226492416;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/226492416;
       case 125
         dNdxi1 = -(625*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/226492416;
         dNdxi2 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/226492416;
         dNdxi3 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(390625*xi(3)^4 - 62500*xi(3)^3 - 318750*xi(3)^2 + 42500*xi(3) + 28125))/226492416;
       case 126
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 + 187500*xi(1)^3 - 243750*xi(1)^2 - 97500*xi(1) + 3125))/226492416;
         dNdxi2 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/226492416;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/226492416;
       case 127
         dNdxi1 = -(625*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/226492416;
         dNdxi2 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/226492416;
         dNdxi3 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(390625*xi(3)^4 - 62500*xi(3)^3 - 318750*xi(3)^2 + 42500*xi(3) + 28125))/226492416;
       case 128
         dNdxi1 = -(625*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(625*xi(1)^4 - 300*xi(1)^3 - 390*xi(1)^2 + 156*xi(1) + 5))/226492416;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(390625*xi(2)^4 - 62500*xi(2)^3 - 318750*xi(2)^2 + 42500*xi(2) + 28125))/226492416;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/226492416;
       case 129
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(390625*xi(1)^4 - 62500*xi(1)^3 - 318750*xi(1)^2 + 42500*xi(1) + 28125))/113246208;
         dNdxi2 = -(625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(625*xi(2)^4 - 100*xi(2)^3 - 510*xi(2)^2 + 68*xi(2) + 45))/113246208;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/113246208;
       case 130
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 - 62500*xi(1)^3 - 318750*xi(1)^2 + 42500*xi(1) + 28125))/113246208;
         dNdxi2 = -(625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/113246208;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/113246208;
       case 131
         dNdxi1 = (625*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/113246208;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(2)^4 - 62500*xi(2)^3 - 318750*xi(2)^2 + 42500*xi(2) + 28125))/113246208;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/113246208;
       case 132
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 + 62500*xi(1)^3 - 318750*xi(1)^2 - 42500*xi(1) + 28125))/113246208;
         dNdxi2 = -(625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/113246208;
         dNdxi3 = -(625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/113246208;
       case 133
         dNdxi1 = (625*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/113246208;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(2)^4 + 62500*xi(2)^3 - 318750*xi(2)^2 - 42500*xi(2) + 28125))/113246208;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/113246208;
       case 134
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(390625*xi(1)^4 - 62500*xi(1)^3 - 318750*xi(1)^2 + 42500*xi(1) + 28125))/113246208;
         dNdxi2 = (625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(625*xi(2)^4 - 100*xi(2)^3 - 510*xi(2)^2 + 68*xi(2) + 45))/113246208;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/113246208;
       case 135
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(390625*xi(1)^4 + 62500*xi(1)^3 - 318750*xi(1)^2 - 42500*xi(1) + 28125))/113246208;
         dNdxi2 = (625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(625*xi(2)^4 - 100*xi(2)^3 - 510*xi(2)^2 + 68*xi(2) + 45))/113246208;
         dNdxi3 = (625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/113246208;
       case 136
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 + 62500*xi(1)^3 - 318750*xi(1)^2 - 42500*xi(1) + 28125))/113246208;
         dNdxi2 = (625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/113246208;
         dNdxi3 = (625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/113246208;
       case 137
         dNdxi1 = -(625*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/113246208;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(2)^4 + 62500*xi(2)^3 - 318750*xi(2)^2 - 42500*xi(2) + 28125))/113246208;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/113246208;
       case 138
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 - 62500*xi(1)^3 - 318750*xi(1)^2 + 42500*xi(1) + 28125))/113246208;
         dNdxi2 = (625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/113246208;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/113246208;
       case 139
         dNdxi1 = -(625*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/113246208;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(2)^4 - 62500*xi(2)^3 - 318750*xi(2)^2 + 42500*xi(2) + 28125))/113246208;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/113246208;
       case 140
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(390625*xi(1)^4 + 62500*xi(1)^3 - 318750*xi(1)^2 - 42500*xi(1) + 28125))/113246208;
         dNdxi2 = -(625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(625*xi(2)^4 - 100*xi(2)^3 - 510*xi(2)^2 + 68*xi(2) + 45))/113246208;
         dNdxi3 = -(625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/113246208;
       case 141
         dNdxi1 = -((5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(390625*xi(1)^4 + 62500*xi(1)^3 - 318750*xi(1)^2 - 42500*xi(1) + 28125))/113246208;
         dNdxi2 = -(625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(625*xi(2)^4 + 100*xi(2)^3 - 510*xi(2)^2 - 68*xi(2) + 45))/113246208;
         dNdxi3 = -(625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/113246208;
       case 142
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 + 62500*xi(1)^3 - 318750*xi(1)^2 - 42500*xi(1) + 28125))/113246208;
         dNdxi2 = -(625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/113246208;
         dNdxi3 = -(625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/113246208;
       case 143
         dNdxi1 = (625*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/113246208;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(2)^4 + 62500*xi(2)^3 - 318750*xi(2)^2 - 42500*xi(2) + 28125))/113246208;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/113246208;
       case 144
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 - 62500*xi(1)^3 - 318750*xi(1)^2 + 42500*xi(1) + 28125))/113246208;
         dNdxi2 = -(625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/113246208;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/113246208;
       case 145
         dNdxi1 = (625*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/113246208;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(2)^4 - 62500*xi(2)^3 - 318750*xi(2)^2 + 42500*xi(2) + 28125))/113246208;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/113246208;
       case 146
         dNdxi1 = ((5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(390625*xi(1)^4 + 62500*xi(1)^3 - 318750*xi(1)^2 - 42500*xi(1) + 28125))/113246208;
         dNdxi2 = (625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(625*xi(2)^4 + 100*xi(2)^3 - 510*xi(2)^2 - 68*xi(2) + 45))/113246208;
         dNdxi3 = (625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/113246208;
       case 147
         dNdxi1 = ((5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(390625*xi(1)^4 - 62500*xi(1)^3 - 318750*xi(1)^2 + 42500*xi(1) + 28125))/113246208;
         dNdxi2 = (625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(625*xi(2)^4 + 100*xi(2)^3 - 510*xi(2)^2 - 68*xi(2) + 45))/113246208;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 - 2500*xi(3)^3 - 750*xi(3)^2 + 500*xi(3) + 9))/113246208;
       case 148
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 - 62500*xi(1)^3 - 318750*xi(1)^2 + 42500*xi(1) + 28125))/113246208;
         dNdxi2 = (625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 - 2500*xi(2)^3 - 750*xi(2)^2 + 500*xi(2) + 9))/113246208;
         dNdxi3 = (625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/113246208;
       case 149
         dNdxi1 = -(625*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 + 2500*xi(1)^3 - 750*xi(1)^2 - 500*xi(1) + 9))/113246208;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(2)^4 - 62500*xi(2)^3 - 318750*xi(2)^2 + 42500*xi(2) + 28125))/113246208;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/113246208;
       case 150
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(1)^4 + 62500*xi(1)^3 - 318750*xi(1)^2 - 42500*xi(1) + 28125))/113246208;
         dNdxi2 = (625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(2)^4 + 2500*xi(2)^3 - 750*xi(2)^2 - 500*xi(2) + 9))/113246208;
         dNdxi3 = (625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/113246208;
       case 151
         dNdxi1 = -(625*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(3125*xi(1)^4 - 2500*xi(1)^3 - 750*xi(1)^2 + 500*xi(1) + 9))/113246208;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(390625*xi(2)^4 + 62500*xi(2)^3 - 318750*xi(2)^2 - 42500*xi(2) + 28125))/113246208;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/113246208;
       case 152
         dNdxi1 = -((5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(390625*xi(1)^4 - 62500*xi(1)^3 - 318750*xi(1)^2 + 42500*xi(1) + 28125))/113246208;
         dNdxi2 = -(625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(625*xi(2)^4 + 100*xi(2)^3 - 510*xi(2)^2 - 68*xi(2) + 45))/113246208;
         dNdxi3 = -(625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(3125*xi(3)^4 + 2500*xi(3)^3 - 750*xi(3)^2 - 500*xi(3) + 9))/113246208;
       case 153
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 - 4687500*xi(1)^3 - 6093750*xi(1)^2 + 2437500*xi(1) + 78125))/452984832;
         dNdxi2 = (15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/452984832;
         dNdxi3 = (15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/452984832;
       case 154
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 - 1562500*xi(1)^3 - 7968750*xi(1)^2 + 1062500*xi(1) + 703125))/226492416;
         dNdxi2 = -(15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/226492416;
         dNdxi3 = -(15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/226492416;
       case 155
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 + 1562500*xi(1)^3 - 7968750*xi(1)^2 - 1062500*xi(1) + 703125))/226492416;
         dNdxi2 = (15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/226492416;
         dNdxi3 = (15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/226492416;
       case 156
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 + 4687500*xi(1)^3 - 6093750*xi(1)^2 - 2437500*xi(1) + 78125))/452984832;
         dNdxi2 = -(15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/452984832;
         dNdxi3 = -(15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/452984832;
       case 157
         dNdxi1 = -(15625*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(1)^4 - 300*xi(1)^3 - 390*xi(1)^2 + 156*xi(1) + 5))/226492416;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(2)^4 - 1562500*xi(2)^3 - 7968750*xi(2)^2 + 1062500*xi(2) + 703125))/226492416;
         dNdxi3 = -(15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/226492416;
       case 158
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 - 1562500*xi(1)^3 - 7968750*xi(1)^2 + 1062500*xi(1) + 703125))/113246208;
         dNdxi2 = (15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 100*xi(2)^3 - 510*xi(2)^2 + 68*xi(2) + 45))/113246208;
         dNdxi3 = (15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/113246208;
       case 159
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 + 1562500*xi(1)^3 - 7968750*xi(1)^2 - 1062500*xi(1) + 703125))/113246208;
         dNdxi2 = -(15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 100*xi(2)^3 - 510*xi(2)^2 + 68*xi(2) + 45))/113246208;
         dNdxi3 = -(15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/113246208;
       case 160
         dNdxi1 = (15625*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(1)^4 + 300*xi(1)^3 - 390*xi(1)^2 - 156*xi(1) + 5))/226492416;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(2)^4 - 1562500*xi(2)^3 - 7968750*xi(2)^2 + 1062500*xi(2) + 703125))/226492416;
         dNdxi3 = (15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/226492416;
       case 161
         dNdxi1 = (15625*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(1)^4 - 300*xi(1)^3 - 390*xi(1)^2 + 156*xi(1) + 5))/226492416;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(2)^4 + 1562500*xi(2)^3 - 7968750*xi(2)^2 - 1062500*xi(2) + 703125))/226492416;
         dNdxi3 = (15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/226492416;
       case 162
         dNdxi1 = -((5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 - 1562500*xi(1)^3 - 7968750*xi(1)^2 + 1062500*xi(1) + 703125))/113246208;
         dNdxi2 = -(15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 100*xi(2)^3 - 510*xi(2)^2 - 68*xi(2) + 45))/113246208;
         dNdxi3 = -(15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/113246208;
       case 163
         dNdxi1 = ((5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 + 1562500*xi(1)^3 - 7968750*xi(1)^2 - 1062500*xi(1) + 703125))/113246208;
         dNdxi2 = (15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 100*xi(2)^3 - 510*xi(2)^2 - 68*xi(2) + 45))/113246208;
         dNdxi3 = (15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/113246208;
       case 164
         dNdxi1 = -(15625*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(1)^4 + 300*xi(1)^3 - 390*xi(1)^2 - 156*xi(1) + 5))/226492416;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(2)^4 + 1562500*xi(2)^3 - 7968750*xi(2)^2 - 1062500*xi(2) + 703125))/226492416;
         dNdxi3 = -(15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/226492416;
       case 165
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 - 4687500*xi(1)^3 - 6093750*xi(1)^2 + 2437500*xi(1) + 78125))/452984832;
         dNdxi2 = -(15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/452984832;
         dNdxi3 = -(15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/452984832;
       case 166
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 - 1562500*xi(1)^3 - 7968750*xi(1)^2 + 1062500*xi(1) + 703125))/226492416;
         dNdxi2 = (15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/226492416;
         dNdxi3 = (15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/226492416;
       case 167
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 + 1562500*xi(1)^3 - 7968750*xi(1)^2 - 1062500*xi(1) + 703125))/226492416;
         dNdxi2 = -(15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/226492416;
         dNdxi3 = -(15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/226492416;
       case 168
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 + 4687500*xi(1)^3 - 6093750*xi(1)^2 - 2437500*xi(1) + 78125))/452984832;
         dNdxi2 = (15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/452984832;
         dNdxi3 = (15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 300*xi(3)^3 - 390*xi(3)^2 + 156*xi(3) + 5))/452984832;
       case 169
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 - 4687500*xi(1)^3 - 6093750*xi(1)^2 + 2437500*xi(1) + 78125))/226492416;
         dNdxi2 = -(15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/226492416;
         dNdxi3 = -(15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/226492416;
       case 170
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 - 1562500*xi(1)^3 - 7968750*xi(1)^2 + 1062500*xi(1) + 703125))/113246208;
         dNdxi2 = (15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/113246208;
         dNdxi3 = (15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/113246208;
       case 171
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 + 1562500*xi(1)^3 - 7968750*xi(1)^2 - 1062500*xi(1) + 703125))/113246208;
         dNdxi2 = -(15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/113246208;
         dNdxi3 = -(15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/113246208;
       case 172
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 + 4687500*xi(1)^3 - 6093750*xi(1)^2 - 2437500*xi(1) + 78125))/226492416;
         dNdxi2 = (15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/226492416;
         dNdxi3 = (15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/226492416;
       case 173
         dNdxi1 = (15625*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(1)^4 - 300*xi(1)^3 - 390*xi(1)^2 + 156*xi(1) + 5))/113246208;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(2)^4 - 1562500*xi(2)^3 - 7968750*xi(2)^2 + 1062500*xi(2) + 703125))/113246208;
         dNdxi3 = (15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/113246208;
       case 174
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 - 1562500*xi(1)^3 - 7968750*xi(1)^2 + 1062500*xi(1) + 703125))/56623104;
         dNdxi2 = -(15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 100*xi(2)^3 - 510*xi(2)^2 + 68*xi(2) + 45))/56623104;
         dNdxi3 = -(15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/56623104;
       case 175
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 + 1562500*xi(1)^3 - 7968750*xi(1)^2 - 1062500*xi(1) + 703125))/56623104;
         dNdxi2 = (15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 100*xi(2)^3 - 510*xi(2)^2 + 68*xi(2) + 45))/56623104;
         dNdxi3 = (15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/56623104;
       case 176
         dNdxi1 = -(15625*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(1)^4 + 300*xi(1)^3 - 390*xi(1)^2 - 156*xi(1) + 5))/113246208;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(2)^4 - 1562500*xi(2)^3 - 7968750*xi(2)^2 + 1062500*xi(2) + 703125))/113246208;
         dNdxi3 = -(15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/113246208;
       case 177
         dNdxi1 = -(15625*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(1)^4 - 300*xi(1)^3 - 390*xi(1)^2 + 156*xi(1) + 5))/113246208;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(2)^4 + 1562500*xi(2)^3 - 7968750*xi(2)^2 - 1062500*xi(2) + 703125))/113246208;
         dNdxi3 = -(15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/113246208;
       case 178
         dNdxi1 = ((5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 - 1562500*xi(1)^3 - 7968750*xi(1)^2 + 1062500*xi(1) + 703125))/56623104;
         dNdxi2 = (15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 100*xi(2)^3 - 510*xi(2)^2 - 68*xi(2) + 45))/56623104;
         dNdxi3 = (15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/56623104;
       case 179
         dNdxi1 = -((5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 + 1562500*xi(1)^3 - 7968750*xi(1)^2 - 1062500*xi(1) + 703125))/56623104;
         dNdxi2 = -(15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 100*xi(2)^3 - 510*xi(2)^2 - 68*xi(2) + 45))/56623104;
         dNdxi3 = -(15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/56623104;
       case 180
         dNdxi1 = (15625*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(1)^4 + 300*xi(1)^3 - 390*xi(1)^2 - 156*xi(1) + 5))/113246208;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(2)^4 + 1562500*xi(2)^3 - 7968750*xi(2)^2 - 1062500*xi(2) + 703125))/113246208;
         dNdxi3 = (15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/113246208;
       case 181
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 - 4687500*xi(1)^3 - 6093750*xi(1)^2 + 2437500*xi(1) + 78125))/226492416;
         dNdxi2 = (15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/226492416;
         dNdxi3 = (15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/226492416;
       case 182
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 - 1562500*xi(1)^3 - 7968750*xi(1)^2 + 1062500*xi(1) + 703125))/113246208;
         dNdxi2 = -(15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/113246208;
         dNdxi3 = -(15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/113246208;
       case 183
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 + 1562500*xi(1)^3 - 7968750*xi(1)^2 - 1062500*xi(1) + 703125))/113246208;
         dNdxi2 = (15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/113246208;
         dNdxi3 = (15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/113246208;
       case 184
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 + 4687500*xi(1)^3 - 6093750*xi(1)^2 - 2437500*xi(1) + 78125))/226492416;
         dNdxi2 = -(15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/226492416;
         dNdxi3 = -(15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 - 100*xi(3)^3 - 510*xi(3)^2 + 68*xi(3) + 45))/226492416;
       case 185
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 - 4687500*xi(1)^3 - 6093750*xi(1)^2 + 2437500*xi(1) + 78125))/226492416;
         dNdxi2 = (15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/226492416;
         dNdxi3 = (15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/226492416;
       case 186
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 - 1562500*xi(1)^3 - 7968750*xi(1)^2 + 1062500*xi(1) + 703125))/113246208;
         dNdxi2 = -(15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/113246208;
         dNdxi3 = -(15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/113246208;
       case 187
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 + 1562500*xi(1)^3 - 7968750*xi(1)^2 - 1062500*xi(1) + 703125))/113246208;
         dNdxi2 = (15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/113246208;
         dNdxi3 = (15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/113246208;
       case 188
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 + 4687500*xi(1)^3 - 6093750*xi(1)^2 - 2437500*xi(1) + 78125))/226492416;
         dNdxi2 = -(15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/226492416;
         dNdxi3 = -(15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/226492416;
       case 189
         dNdxi1 = -(15625*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(1)^4 - 300*xi(1)^3 - 390*xi(1)^2 + 156*xi(1) + 5))/113246208;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(2)^4 - 1562500*xi(2)^3 - 7968750*xi(2)^2 + 1062500*xi(2) + 703125))/113246208;
         dNdxi3 = -(15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/113246208;
       case 190
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 - 1562500*xi(1)^3 - 7968750*xi(1)^2 + 1062500*xi(1) + 703125))/56623104;
         dNdxi2 = (15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 100*xi(2)^3 - 510*xi(2)^2 + 68*xi(2) + 45))/56623104;
         dNdxi3 = (15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/56623104;
       case 191
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 + 1562500*xi(1)^3 - 7968750*xi(1)^2 - 1062500*xi(1) + 703125))/56623104;
         dNdxi2 = -(15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 100*xi(2)^3 - 510*xi(2)^2 + 68*xi(2) + 45))/56623104;
         dNdxi3 = -(15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/56623104;
       case 192
         dNdxi1 = (15625*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(1)^4 + 300*xi(1)^3 - 390*xi(1)^2 - 156*xi(1) + 5))/113246208;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(2)^4 - 1562500*xi(2)^3 - 7968750*xi(2)^2 + 1062500*xi(2) + 703125))/113246208;
         dNdxi3 = (15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/113246208;
       case 193
         dNdxi1 = (15625*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(1)^4 - 300*xi(1)^3 - 390*xi(1)^2 + 156*xi(1) + 5))/113246208;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(2)^4 + 1562500*xi(2)^3 - 7968750*xi(2)^2 - 1062500*xi(2) + 703125))/113246208;
         dNdxi3 = (15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/113246208;
       case 194
         dNdxi1 = -((5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 - 1562500*xi(1)^3 - 7968750*xi(1)^2 + 1062500*xi(1) + 703125))/56623104;
         dNdxi2 = -(15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 100*xi(2)^3 - 510*xi(2)^2 - 68*xi(2) + 45))/56623104;
         dNdxi3 = -(15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/56623104;
       case 195
         dNdxi1 = ((5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 + 1562500*xi(1)^3 - 7968750*xi(1)^2 - 1062500*xi(1) + 703125))/56623104;
         dNdxi2 = (15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 100*xi(2)^3 - 510*xi(2)^2 - 68*xi(2) + 45))/56623104;
         dNdxi3 = (15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/56623104;
       case 196
         dNdxi1 = -(15625*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(1)^4 + 300*xi(1)^3 - 390*xi(1)^2 - 156*xi(1) + 5))/113246208;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(2)^4 + 1562500*xi(2)^3 - 7968750*xi(2)^2 - 1062500*xi(2) + 703125))/113246208;
         dNdxi3 = -(15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/113246208;
       case 197
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 - 4687500*xi(1)^3 - 6093750*xi(1)^2 + 2437500*xi(1) + 78125))/226492416;
         dNdxi2 = -(15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/226492416;
         dNdxi3 = -(15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/226492416;
       case 198
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 - 1562500*xi(1)^3 - 7968750*xi(1)^2 + 1062500*xi(1) + 703125))/113246208;
         dNdxi2 = (15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/113246208;
         dNdxi3 = (15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/113246208;
       case 199
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 + 1562500*xi(1)^3 - 7968750*xi(1)^2 - 1062500*xi(1) + 703125))/113246208;
         dNdxi2 = -(15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/113246208;
         dNdxi3 = -(15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/113246208;
       case 200
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 + 4687500*xi(1)^3 - 6093750*xi(1)^2 - 2437500*xi(1) + 78125))/226492416;
         dNdxi2 = (15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) + 1)*(5*xi(3) - 3)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/226492416;
         dNdxi3 = (15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 100*xi(3)^3 - 510*xi(3)^2 - 68*xi(3) + 45))/226492416;
       case 201
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 - 4687500*xi(1)^3 - 6093750*xi(1)^2 + 2437500*xi(1) + 78125))/452984832;
         dNdxi2 = -(15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/452984832;
         dNdxi3 = -(15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/452984832;
       case 202
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 - 1562500*xi(1)^3 - 7968750*xi(1)^2 + 1062500*xi(1) + 703125))/226492416;
         dNdxi2 = (15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/226492416;
         dNdxi3 = (15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/226492416;
       case 203
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 + 1562500*xi(1)^3 - 7968750*xi(1)^2 - 1062500*xi(1) + 703125))/226492416;
         dNdxi2 = -(15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/226492416;
         dNdxi3 = -(15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/226492416;
       case 204
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 + 4687500*xi(1)^3 - 6093750*xi(1)^2 - 2437500*xi(1) + 78125))/452984832;
         dNdxi2 = (15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 300*xi(2)^3 - 390*xi(2)^2 + 156*xi(2) + 5))/452984832;
         dNdxi3 = (15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) - 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/452984832;
       case 205
         dNdxi1 = (15625*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(1)^4 - 300*xi(1)^3 - 390*xi(1)^2 + 156*xi(1) + 5))/226492416;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(2)^4 - 1562500*xi(2)^3 - 7968750*xi(2)^2 + 1062500*xi(2) + 703125))/226492416;
         dNdxi3 = (15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/226492416;
       case 206
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 - 1562500*xi(1)^3 - 7968750*xi(1)^2 + 1062500*xi(1) + 703125))/113246208;
         dNdxi2 = -(15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 100*xi(2)^3 - 510*xi(2)^2 + 68*xi(2) + 45))/113246208;
         dNdxi3 = -(15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/113246208;
       case 207
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 + 1562500*xi(1)^3 - 7968750*xi(1)^2 - 1062500*xi(1) + 703125))/113246208;
         dNdxi2 = (15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 - 100*xi(2)^3 - 510*xi(2)^2 + 68*xi(2) + 45))/113246208;
         dNdxi3 = (15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/113246208;
       case 208
         dNdxi1 = -(15625*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(1)^4 + 300*xi(1)^3 - 390*xi(1)^2 - 156*xi(1) + 5))/226492416;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(2)^4 - 1562500*xi(2)^3 - 7968750*xi(2)^2 + 1062500*xi(2) + 703125))/226492416;
         dNdxi3 = -(15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/226492416;
       case 209
         dNdxi1 = -(15625*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(1)^4 - 300*xi(1)^3 - 390*xi(1)^2 + 156*xi(1) + 5))/226492416;
         dNdxi2 = -((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(2)^4 + 1562500*xi(2)^3 - 7968750*xi(2)^2 - 1062500*xi(2) + 703125))/226492416;
         dNdxi3 = -(15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/226492416;
       case 210
         dNdxi1 = ((5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 - 1562500*xi(1)^3 - 7968750*xi(1)^2 + 1062500*xi(1) + 703125))/113246208;
         dNdxi2 = (15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 100*xi(2)^3 - 510*xi(2)^2 - 68*xi(2) + 45))/113246208;
         dNdxi3 = (15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/113246208;
       case 211
         dNdxi1 = -((5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 + 1562500*xi(1)^3 - 7968750*xi(1)^2 - 1062500*xi(1) + 703125))/113246208;
         dNdxi2 = -(15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 100*xi(2)^3 - 510*xi(2)^2 - 68*xi(2) + 45))/113246208;
         dNdxi3 = -(15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/113246208;
       case 212
         dNdxi1 = (15625*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(1)^4 + 300*xi(1)^3 - 390*xi(1)^2 - 156*xi(1) + 5))/226492416;
         dNdxi2 = ((5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(2)^4 + 1562500*xi(2)^3 - 7968750*xi(2)^2 - 1062500*xi(2) + 703125))/226492416;
         dNdxi3 = (15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) + 1)*(5*xi(2) - 3)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/226492416;
       case 213
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 - 4687500*xi(1)^3 - 6093750*xi(1)^2 + 2437500*xi(1) + 78125))/452984832;
         dNdxi2 = (15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/452984832;
         dNdxi3 = (15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/452984832;
       case 214
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 - 1562500*xi(1)^3 - 7968750*xi(1)^2 + 1062500*xi(1) + 703125))/226492416;
         dNdxi2 = -(15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/226492416;
         dNdxi3 = -(15625*(5*xi(1) - 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/226492416;
       case 215
         dNdxi1 = ((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 + 1562500*xi(1)^3 - 7968750*xi(1)^2 - 1062500*xi(1) + 703125))/226492416;
         dNdxi2 = (15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/226492416;
         dNdxi3 = (15625*(5*xi(1) + 1)*(5*xi(1) - 3)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/226492416;
       case 216
         dNdxi1 = -((5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(9765625*xi(1)^4 + 4687500*xi(1)^3 - 6093750*xi(1)^2 - 2437500*xi(1) + 78125))/452984832;
         dNdxi2 = -(15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(3) - 1)*(5*xi(3) + 1)*(5*xi(3) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(625*xi(2)^4 + 300*xi(2)^3 - 390*xi(2)^2 - 156*xi(2) + 5))/452984832;
         dNdxi3 = -(15625*(5*xi(1) - 1)*(5*xi(1) + 1)*(5*xi(1) + 3)*(5*xi(2) - 1)*(5*xi(2) + 1)*(5*xi(2) + 3)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(625*xi(3)^4 + 300*xi(3)^3 - 390*xi(3)^2 - 156*xi(3) + 5))/452984832;
     end

     if( i_eval==2 )

       vBase = aInvJac(:,1)*dNdxi1 + aInvJac(:,2)*dNdxi2 + aInvJac(:,3)*dNdxi3;

     elseif( i_eval==3 )

       vBase = aInvJac(:,4)*dNdxi1 + aInvJac(:,5)*dNdxi2 + aInvJac(:,6)*dNdxi3;

     else

       vBase = aInvJac(:,7)*dNdxi1 + aInvJac(:,8)*dNdxi2 + aInvJac(:,9)*dNdxi3;

     end

   case {22,23,24,32,33,34,42,43,44}   % Evaluation of second order derivatives.
     error('sf_hex_Q5: second order derivative evaluation not supported.')

   otherwise
     vBase = 0;

 end