FEATool  v1.9
Finite Element Analysis Toolbox
sf_hex_Q4.m File Reference

Description

SF_HEX_Q4 Triquartic conforming shape function for hexahedrons (Q4).

[ VBASE, NLDOF, XLDOF, SFUN ] = SF_HEX_Q4( I_EVAL, N_SDIM, N_VERT, I_DOF, XI, AINVJAC, VBASE ) Evaluates conforming triquartic Q4 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
sflag4, sf_hex_Q1

Code listing

 nLDof = [8 36 54 27];
 xLDof = [-1  1  1 -1 -1  1 1 -1 -1/2    1 1/2  -1   -1    1    1   -1 -1/2    1 1/2  -1  0  1  0 -1 -1  1 1 -1  0 1 0 -1 1/2   1 -1/2   -1  -1   1   1  -1 1/2   1 -1/2   -1 -1/2 -1/2    1  1/2   -1 -1/2    0    0    1    0   -1    0  1/2  1/2    1 -1/2   -1  1/2 1/2 1/2   1 -1/2   -1 1/2 1/2 1/2   1 -1/2   -1 1/2   0   0   1   0  -1   0 -1/2 -1/2    1 1/2  -1 -1/2 -1/2 -1/2    1 1/2  -1 -1/2  0  0 1 0 -1 0 -1/2    0  1/2 -1/2    0  1/2 -1/2    0  1/2 -1/2    0  1/2 -1/2 0 1/2 -1/2   0 1/2 -1/2    0  1/2 -1/2   0 1/2 -1/2   0 1/2;
          -1 -1  1  1 -1 -1 1  1   -1 -1/2   1 1/2   -1   -1    1    1   -1 -1/2   1 1/2 -1  0  1  0 -1 -1 1  1 -1 0 1  0  -1 1/2    1 -1/2  -1  -1   1   1  -1 1/2    1 -1/2 -1/2   -1 -1/2    1  1/2 -1/2 -1/2   -1    0    1    0 -1/2 -1/2   -1  1/2    1 -1/2 -1/2   0  -1 1/2    1 -1/2   0 1/2  -1 1/2    1 -1/2 1/2 1/2  -1   0   1   0 1/2  1/2   -1 -1/2   1 1/2  1/2    0   -1 -1/2   1 1/2    0  0 -1 0 1  0 0 -1/2 -1/2 -1/2    0    0    0  1/2  1/2  1/2 -1/2 -1/2 -1/2    0 0   0  1/2 1/2 1/2 -1/2 -1/2 -1/2    0   0   0  1/2 1/2 1/2;
          -1 -1 -1 -1  1  1 1  1   -1   -1  -1  -1 -1/2 -1/2 -1/2 -1/2    1    1   1   1 -1 -1 -1 -1  0  0 0  0  1 1 1  1  -1  -1   -1   -1 1/2 1/2 1/2 1/2   1   1    1    1   -1 -1/2 -1/2 -1/2 -1/2    1   -1 -1/2 -1/2 -1/2 -1/2    1   -1 -1/2 -1/2 -1/2 -1/2    1  -1   0   0    0    0   1  -1 1/2 1/2  1/2  1/2   1  -1 1/2 1/2 1/2 1/2   1   -1  1/2  1/2 1/2 1/2    1   -1    0    0   0   0    1 -1  0 0 0  0 1 -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 -1/2    0    0    0    0 0   0    0   0   0  1/2  1/2  1/2  1/2 1/2 1/2  1/2 1/2 1/2];
 sfun  = 'sf_hex_Q4';


 switch i_eval

   case 1

     switch i_dof
       case 1
         vBase = -(xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/216;
       case 2
         vBase = -(xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/216;
       case 3
         vBase = -(xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/216;
       case 4
         vBase = -(xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/216;
       case 5
         vBase = -(xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/216;
       case 6
         vBase = -(xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/216;
       case 7
         vBase = -(xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/216;
       case 8
         vBase = -(xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/216;
       case 9
         vBase = (xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/27;
       case 10
         vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/27;
       case 11
         vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/27;
       case 12
         vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/27;
       case 13
         vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/27;
       case 14
         vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/27;
       case 15
         vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/27;
       case 16
         vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/27;
       case 17
         vBase = (xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/27;
       case 18
         vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/27;
       case 19
         vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/27;
       case 20
         vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/27;
       case 21
         vBase = (xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/36;
       case 22
         vBase = (xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/36;
       case 23
         vBase = (xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/36;
       case 24
         vBase = (xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/36;
       case 25
         vBase = (xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1))/36;
       case 26
         vBase = (xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1))/36;
       case 27
         vBase = (xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1))/36;
       case 28
         vBase = (xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1))/36;
       case 29
         vBase = (xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/36;
       case 30
         vBase = (xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/36;
       case 31
         vBase = (xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/36;
       case 32
         vBase = (xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/36;
       case 33
         vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/27;
       case 34
         vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/27;
       case 35
         vBase = (xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/27;
       case 36
         vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/27;
       case 37
         vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
       case 38
         vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
       case 39
         vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
       case 40
         vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
       case 41
         vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/27;
       case 42
         vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/27;
       case 43
         vBase = (xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/27;
       case 44
         vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/27;
       case 45
         vBase = -(8*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/27;
       case 46
         vBase = -(8*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/27;
       case 47
         vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/27;
       case 48
         vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/27;
       case 49
         vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/27;
       case 50
         vBase = -(8*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/27;
       case 51
         vBase = -(2*xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/9;
       case 52
         vBase = -(2*xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/9;
       case 53
         vBase = -(2*xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/9;
       case 54
         vBase = -(2*xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/9;
       case 55
         vBase = -(2*xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/9;
       case 56
         vBase = -(2*xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/9;
       case 57
         vBase = -(8*xi(1)*xi(2)*xi(3)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/27;
       case 58
         vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/27;
       case 59
         vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/27;
       case 60
         vBase = -(8*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/27;
       case 61
         vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/27;
       case 62
         vBase = -(8*xi(1)*xi(2)*xi(3)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/27;
       case 63
         vBase = -(2*xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/9;
       case 64
         vBase = -(2*xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/9;
       case 65
         vBase = -(2*xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/9;
       case 66
         vBase = -(2*xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1))/9;
       case 67
         vBase = -(2*xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1))/9;
       case 68
         vBase = -(2*xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/9;
       case 69
         vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/27;
       case 70
         vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
       case 71
         vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
       case 72
         vBase = -(8*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
       case 73
         vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
       case 74
         vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/27;
       case 75
         vBase = -(2*xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/9;
       case 76
         vBase = -(2*xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/9;
       case 77
         vBase = -(2*xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/9;
       case 78
         vBase = -(2*xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/9;
       case 79
         vBase = -(2*xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/9;
       case 80
         vBase = -(2*xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/9;
       case 81
         vBase = -(8*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/27;
       case 82
         vBase = -(8*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
       case 83
         vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
       case 84
         vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
       case 85
         vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
       case 86
         vBase = -(8*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/27;
       case 87
         vBase = -(2*xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/9;
       case 88
         vBase = -(2*xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1))/9;
       case 89
         vBase = -(2*xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1))/9;
       case 90
         vBase = -(2*xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/9;
       case 91
         vBase = -(2*xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/9;
       case 92
         vBase = -(2*xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/9;
       case 93
         vBase = -(xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/6;
       case 94
         vBase = -(xi(2)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1))/6;
       case 95
         vBase = -(xi(1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1))/6;
       case 96
         vBase = -(xi(2)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1))/6;
       case 97
         vBase = -(xi(1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1))/6;
       case 98
         vBase = -(xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/6;
       case 99
         vBase = (64*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/27;
       case 100
         vBase = (16*xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/9;
       case 101
         vBase = (64*xi(1)*xi(2)*xi(3)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/27;
       case 102
         vBase = (16*xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/9;
       case 103
         vBase = (4*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/3;
       case 104
         vBase = (16*xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/9;
       case 105
         vBase = (64*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/27;
       case 106
         vBase = (16*xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/9;
       case 107
         vBase = (64*xi(1)*xi(2)*xi(3)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/27;
       case 108
         vBase = (16*xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1))/9;
       case 109
         vBase = (4*xi(2)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1))/3;
       case 110
         vBase = (16*xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/9;
       case 111
         vBase = (4*xi(1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1))/3;
       case 112
         vBase = (4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1);
       case 113
         vBase = (4*xi(1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/3;
       case 114
         vBase = (16*xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/9;
       case 115
         vBase = (4*xi(2)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/3;
       case 116
         vBase = (16*xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/9;
       case 117
         vBase = (64*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
       case 118
         vBase = (16*xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/9;
       case 119
         vBase = (64*xi(1)*xi(2)*xi(3)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
       case 120
         vBase = (16*xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/9;
       case 121
         vBase = (4*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/3;
       case 122
         vBase = (16*xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/9;
       case 123
         vBase = (64*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
       case 124
         vBase = (16*xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/9;
       case 125
         vBase = (64*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
     end

   case {2,3,4}

     switch i_dof
       case 1
         dNdxi1 = -(xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) - 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/216;
         dNdxi2 = -(xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) - 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/216;
         dNdxi3 = -(xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(2) - 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/216;
       case 2
         dNdxi1 = (xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) - 1)*(4*xi(1)^2 + 2*xi(1) - 1))/216;
         dNdxi2 = -(xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) - 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/216;
         dNdxi3 = -(xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) + 1)*(xi(2) - 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/216;
       case 3
         dNdxi1 = (xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) - 1)*(4*xi(1)^2 + 2*xi(1) - 1))/216;
         dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) - 1)*(4*xi(2)^2 + 2*xi(2) - 1))/216;
         dNdxi3 = -(xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) + 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/216;
       case 4
         dNdxi1 = -(xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) - 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/216;
         dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) - 1)*(4*xi(2)^2 + 2*xi(2) - 1))/216;
         dNdxi3 = -(xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/216;
       case 5
         dNdxi1 = -(xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/216;
         dNdxi2 = -(xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/216;
         dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(2) - 1)*(4*xi(3)^2 + 2*xi(3) - 1))/216;
       case 6
         dNdxi1 = (xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/216;
         dNdxi2 = -(xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/216;
         dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) + 1)*(xi(2) - 1)*(4*xi(3)^2 + 2*xi(3) - 1))/216;
       case 7
         dNdxi1 = (xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/216;
         dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/216;
         dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) + 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/216;
       case 8
         dNdxi1 = -(xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/216;
         dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/216;
         dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/216;
       case 9
         dNdxi1 = (xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) - 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
         dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/27;
         dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/27;
       case 10
         dNdxi1 = -(xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(4*xi(1)^2 + 2*xi(1) - 1))/27;
         dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) - 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
         dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(4*xi(3) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/27;
       case 11
         dNdxi1 = (xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) - 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
         dNdxi2 = -(xi(1)*xi(3)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(4*xi(2)^2 + 2*xi(2) - 1))/27;
         dNdxi3 = (xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/27;
       case 12
         dNdxi1 = (xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/27;
         dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) - 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
         dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/27;
       case 13
         dNdxi1 = (xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/27;
         dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/27;
         dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(2) - 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
       case 14
         dNdxi1 = -(xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/27;
         dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/27;
         dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) + 1)*(xi(2) - 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
       case 15
         dNdxi1 = -(xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/27;
         dNdxi2 = -(xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/27;
         dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) + 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
       case 16
         dNdxi1 = (xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/27;
         dNdxi2 = -(xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/27;
         dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
       case 17
         dNdxi1 = (xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
         dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/27;
         dNdxi3 = -(xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(4*xi(3)^2 + 2*xi(3) - 1))/27;
       case 18
         dNdxi1 = -(xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/27;
         dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
         dNdxi3 = -(xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(4*xi(3) + 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/27;
       case 19
         dNdxi1 = (xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
         dNdxi2 = -(xi(1)*xi(3)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/27;
         dNdxi3 = -(xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/27;
       case 20
         dNdxi1 = (xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/27;
         dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
         dNdxi3 = -(xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/27;
       case 21
         dNdxi1 = (xi(1)*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(3) - 1))/18;
         dNdxi2 = -(xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/36;
         dNdxi3 = -(xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/36;
       case 22
         dNdxi1 = (xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(4*xi(1)^2 + 2*xi(1) - 1))/36;
         dNdxi2 = (xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) + 1)*(xi(3) - 1))/18;
         dNdxi3 = -(xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/36;
       case 23
         dNdxi1 = (xi(1)*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) + 1)*(xi(3) - 1))/18;
         dNdxi2 = (xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(4*xi(2)^2 + 2*xi(2) - 1))/36;
         dNdxi3 = -(xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/36;
       case 24
         dNdxi1 = -(xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/36;
         dNdxi2 = (xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(3) - 1))/18;
         dNdxi3 = -(xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/36;
       case 25
         dNdxi1 = -(xi(2)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/36;
         dNdxi2 = -(xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/36;
         dNdxi3 = (xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(2) - 1))/18;
       case 26
         dNdxi1 = (xi(2)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/36;
         dNdxi2 = -(xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/36;
         dNdxi3 = (xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) + 1)*(xi(2) - 1))/18;
       case 27
         dNdxi1 = (xi(2)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/36;
         dNdxi2 = (xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/36;
         dNdxi3 = (xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) + 1)*(xi(2) + 1))/18;
       case 28
         dNdxi1 = -(xi(2)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/36;
         dNdxi2 = (xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/36;
         dNdxi3 = (xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(2) + 1))/18;
       case 29
         dNdxi1 = (xi(1)*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(3) + 1))/18;
         dNdxi2 = -(xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/36;
         dNdxi3 = (xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(4*xi(3)^2 + 2*xi(3) - 1))/36;
       case 30
         dNdxi1 = (xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/36;
         dNdxi2 = (xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) + 1)*(xi(3) + 1))/18;
         dNdxi3 = (xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/36;
       case 31
         dNdxi1 = (xi(1)*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) + 1)*(xi(3) + 1))/18;
         dNdxi2 = (xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/36;
         dNdxi3 = (xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/36;
       case 32
         dNdxi1 = -(xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/36;
         dNdxi2 = (xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(3) + 1))/18;
         dNdxi3 = (xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/36;
       case 33
         dNdxi1 = (xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) - 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
         dNdxi2 = (xi(1)*xi(3)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/27;
         dNdxi3 = (xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/27;
       case 34
         dNdxi1 = -(xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(4*xi(1)^2 + 2*xi(1) - 1))/27;
         dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) - 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
         dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/27;
       case 35
         dNdxi1 = (xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) - 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
         dNdxi2 = -(xi(1)*xi(3)*(2*xi(1) - 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(4*xi(2)^2 + 2*xi(2) - 1))/27;
         dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/27;
       case 36
         dNdxi1 = (xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/27;
         dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) - 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
         dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/27;
       case 37
         dNdxi1 = (xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/27;
         dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/27;
         dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(2) - 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
       case 38
         dNdxi1 = -(xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/27;
         dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/27;
         dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) + 1)*(xi(2) - 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
       case 39
         dNdxi1 = -(xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/27;
         dNdxi2 = -(xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/27;
         dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) + 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
       case 40
         dNdxi1 = (xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/27;
         dNdxi2 = -(xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/27;
         dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
       case 41
         dNdxi1 = (xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
         dNdxi2 = (xi(1)*xi(3)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/27;
         dNdxi3 = -(xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(4*xi(3)^2 + 2*xi(3) - 1))/27;
       case 42
         dNdxi1 = -(xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/27;
         dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
         dNdxi3 = -(xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/27;
       case 43
         dNdxi1 = (xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
         dNdxi2 = -(xi(1)*xi(3)*(2*xi(1) - 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/27;
         dNdxi3 = -(xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/27;
       case 44
         dNdxi1 = (xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/27;
         dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
         dNdxi3 = -(xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/27;
       case 45
         dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
         dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
         dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) - 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/27;
       case 46
         dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
         dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/27;
         dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
       case 47
         dNdxi1 = (8*xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/27;
         dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
         dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
       case 48
         dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
         dNdxi2 = (8*xi(1)*xi(3)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/27;
         dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
       case 49
         dNdxi1 = -(8*xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/27;
         dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
         dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
       case 50
         dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
         dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
         dNdxi3 = (8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) - 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/27;
       case 51
         dNdxi1 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1))/9;
         dNdxi2 = (2*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/9;
         dNdxi3 = (2*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/9;
       case 52
         dNdxi1 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1))/9;
         dNdxi2 = (2*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/9;
         dNdxi3 = (2*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/9;
       case 53
         dNdxi1 = -(2*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/9;
         dNdxi2 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(8*xi(2)^2 - 5)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1))/9;
         dNdxi3 = (2*xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/9;
       case 54
         dNdxi1 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(8*xi(1)^2 - 5)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1))/9;
         dNdxi2 = -(2*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/9;
         dNdxi3 = (2*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/9;
       case 55
         dNdxi1 = (2*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/9;
         dNdxi2 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1))/9;
         dNdxi3 = (2*xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/9;
       case 56
         dNdxi1 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1))/9;
         dNdxi2 = (2*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/9;
         dNdxi3 = -(2*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/9;
       case 57
         dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
         dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
         dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) - 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/27;
       case 58
         dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
         dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/27;
         dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
       case 59
         dNdxi1 = (8*xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/27;
         dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
         dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
       case 60
         dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
         dNdxi2 = (8*xi(1)*xi(3)*(2*xi(1) - 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/27;
         dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
       case 61
         dNdxi1 = -(8*xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/27;
         dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
         dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
       case 62
         dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
         dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
         dNdxi3 = (8*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) - 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/27;
       case 63
         dNdxi1 = (2*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/9;
         dNdxi2 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1))/9;
         dNdxi3 = (2*xi(1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/9;
       case 64
         dNdxi1 = (2*xi(2)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/9;
         dNdxi2 = (2*xi(1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/9;
         dNdxi3 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1))/9;
       case 65
         dNdxi1 = -(2*xi(2)*(4*xi(1) + 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/9;
         dNdxi2 = (2*xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/9;
         dNdxi3 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/9;
       case 66
         dNdxi1 = (2*xi(2)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/9;
         dNdxi2 = -(2*xi(1)*(2*xi(1) - 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/9;
         dNdxi3 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1))/9;
       case 67
         dNdxi1 = (2*xi(2)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/9;
         dNdxi2 = (2*xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/9;
         dNdxi3 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1))/9;
       case 68
         dNdxi1 = (2*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/9;
         dNdxi2 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1))/9;
         dNdxi3 = -(2*xi(1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/9;
       case 69
         dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
         dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
         dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/27;
       case 70
         dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
         dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/27;
         dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
       case 71
         dNdxi1 = (8*xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/27;
         dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
         dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
       case 72
         dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
         dNdxi2 = (8*xi(1)*xi(3)*(2*xi(1) - 1)*(4*xi(2) + 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/27;
         dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
       case 73
         dNdxi1 = -(8*xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/27;
         dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
         dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
       case 74
         dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
         dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
         dNdxi3 = (8*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/27;
       case 75
         dNdxi1 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1))/9;
         dNdxi2 = (2*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/9;
         dNdxi3 = (2*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/9;
       case 76
         dNdxi1 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1))/9;
         dNdxi2 = (2*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/9;
         dNdxi3 = (2*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/9;
       case 77
         dNdxi1 = -(2*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/9;
         dNdxi2 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1))/9;
         dNdxi3 = (2*xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/9;
       case 78
         dNdxi1 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1))/9;
         dNdxi2 = -(2*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/9;
         dNdxi3 = (2*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/9;
       case 79
         dNdxi1 = (2*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/9;
         dNdxi2 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1))/9;
         dNdxi3 = (2*xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/9;
       case 80
         dNdxi1 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1))/9;
         dNdxi2 = (2*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/9;
         dNdxi3 = -(2*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/9;
       case 81
         dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
         dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
         dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/27;
       case 82
         dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
         dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(4*xi(2) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/27;
         dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
       case 83
         dNdxi1 = (8*xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/27;
         dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
         dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
       case 84
         dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
         dNdxi2 = (8*xi(1)*xi(3)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/27;
         dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
       case 85
         dNdxi1 = -(8*xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/27;
         dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
         dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
       case 86
         dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
         dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
         dNdxi3 = (8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/27;
       case 87
         dNdxi1 = (2*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/9;
         dNdxi2 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1))/9;
         dNdxi3 = (2*xi(1)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/9;
       case 88
         dNdxi1 = (2*xi(2)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/9;
         dNdxi2 = (2*xi(1)*(2*xi(1) - 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/9;
         dNdxi3 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1))/9;
       case 89
         dNdxi1 = -(2*xi(2)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/9;
         dNdxi2 = (2*xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/9;
         dNdxi3 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(8*xi(3)^2 - 5)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/9;
       case 90
         dNdxi1 = (2*xi(2)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/9;
         dNdxi2 = -(2*xi(1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/9;
         dNdxi3 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1))/9;
       case 91
         dNdxi1 = (2*xi(2)*(4*xi(1) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/9;
         dNdxi2 = (2*xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/9;
         dNdxi3 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1))/9;
       case 92
         dNdxi1 = (2*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/9;
         dNdxi2 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1))/9;
         dNdxi3 = -(2*xi(1)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/9;
       case 93
         dNdxi1 = (xi(1)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1))/3;
         dNdxi2 = (xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1))/3;
         dNdxi3 = -((4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 16*xi(3)^3 + 12*xi(3)^2 + 2*xi(3) - 1))/6;
       case 94
         dNdxi1 = (xi(1)*xi(2)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1))/3;
         dNdxi2 = -((4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 16*xi(2)^3 + 12*xi(2)^2 + 2*xi(2) - 1))/6;
         dNdxi3 = (xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1))/3;
       case 95
         dNdxi1 = -((4*xi(2)^4 - 5*xi(2)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 16*xi(1)^3 - 12*xi(1)^2 + 2*xi(1) + 1))/6;
         dNdxi2 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1))/3;
         dNdxi3 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/3;
       case 96
         dNdxi1 = (xi(1)*xi(2)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1))/3;
         dNdxi2 = -((4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 16*xi(2)^3 - 12*xi(2)^2 + 2*xi(2) + 1))/6;
         dNdxi3 = (xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1))/3;
       case 97
         dNdxi1 = -((4*xi(2)^4 - 5*xi(2)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 16*xi(1)^3 + 12*xi(1)^2 + 2*xi(1) - 1))/6;
         dNdxi2 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1))/3;
         dNdxi3 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1))/3;
       case 98
         dNdxi1 = (xi(1)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1))/3;
         dNdxi2 = (xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1))/3;
         dNdxi3 = -((4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 16*xi(3)^3 - 12*xi(3)^2 + 2*xi(3) + 1))/6;
       case 99
         dNdxi1 = (64*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
         dNdxi2 = (64*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
         dNdxi3 = (64*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
       case 100
         dNdxi1 = (32*xi(1)*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(3) - 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1))/9;
         dNdxi2 = -(16*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/9;
         dNdxi3 = -(16*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/9;
       case 101
         dNdxi1 = (64*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
         dNdxi2 = (64*xi(1)*xi(3)*(2*xi(1) + 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
         dNdxi3 = (64*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
       case 102
         dNdxi1 = -(16*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/9;
         dNdxi2 = (32*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(3) - 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1))/9;
         dNdxi3 = -(16*xi(1)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/9;
       case 103
         dNdxi1 = -(8*xi(1)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1))/3;
         dNdxi2 = -(8*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1))/3;
         dNdxi3 = (4*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/3;
       case 104
         dNdxi1 = -(16*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/9;
         dNdxi2 = (32*xi(1)*xi(2)*xi(3)*(2*xi(1) + 1)*(2*xi(3) - 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1))/9;
         dNdxi3 = -(16*xi(1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/9;
       case 105
         dNdxi1 = (64*xi(2)*xi(3)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
         dNdxi2 = (64*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
         dNdxi3 = (64*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
       case 106
         dNdxi1 = (32*xi(1)*xi(2)*xi(3)*(2*xi(2) + 1)*(2*xi(3) - 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1))/9;
         dNdxi2 = -(16*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/9;
         dNdxi3 = -(16*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/9;
       case 107
         dNdxi1 = (64*xi(2)*xi(3)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
         dNdxi2 = (64*xi(1)*xi(3)*(2*xi(1) + 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
         dNdxi3 = (64*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
       case 108
         dNdxi1 = -(16*xi(2)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/9;
         dNdxi2 = -(16*xi(1)*(2*xi(1) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/9;
         dNdxi3 = (32*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(2) - 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/9;
       case 109
         dNdxi1 = -(8*xi(1)*xi(2)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1))/3;
         dNdxi2 = (4*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/3;
         dNdxi3 = -(8*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/3;
       case 110
         dNdxi1 = -(16*xi(2)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/9;
         dNdxi2 = -(16*xi(1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/9;
         dNdxi3 = (32*xi(1)*xi(2)*xi(3)*(2*xi(1) + 1)*(2*xi(2) - 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/9;
       case 111
         dNdxi1 = (4*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/3;
         dNdxi2 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1))/3;
         dNdxi3 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/3;
       case 112
         dNdxi1 = 2*xi(1)*(8*xi(1)^2 - 5)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1);
         dNdxi2 = 2*xi(2)*(8*xi(2)^2 - 5)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1);
         dNdxi3 = 2*xi(3)*(8*xi(3)^2 - 5)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(2)^4 - 5*xi(2)^2 + 1);
       case 113
         dNdxi1 = (4*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/3;
         dNdxi2 = -(8*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1))/3;
         dNdxi3 = -(8*xi(1)*xi(3)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/3;
       case 114
         dNdxi1 = -(16*xi(2)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/9;
         dNdxi2 = -(16*xi(1)*(2*xi(1) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/9;
         dNdxi3 = (32*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/9;
       case 115
         dNdxi1 = -(8*xi(1)*xi(2)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1))/3;
         dNdxi2 = (4*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/3;
         dNdxi3 = -(8*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/3;
       case 116
         dNdxi1 = -(16*xi(2)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/9;
         dNdxi2 = -(16*xi(1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/9;
         dNdxi3 = (32*xi(1)*xi(2)*xi(3)*(2*xi(1) + 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/9;
       case 117
         dNdxi1 = (64*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
         dNdxi2 = (64*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
         dNdxi3 = (64*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
       case 118
         dNdxi1 = (32*xi(1)*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1))/9;
         dNdxi2 = -(16*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/9;
         dNdxi3 = -(16*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/9;
       case 119
         dNdxi1 = (64*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
         dNdxi2 = (64*xi(1)*xi(3)*(2*xi(1) + 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
         dNdxi3 = (64*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
       case 120
         dNdxi1 = -(16*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/9;
         dNdxi2 = (32*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1))/9;
         dNdxi3 = -(16*xi(1)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/9;
       case 121
         dNdxi1 = -(8*xi(1)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1))/3;
         dNdxi2 = -(8*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1))/3;
         dNdxi3 = (4*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/3;
       case 122
         dNdxi1 = -(16*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/9;
         dNdxi2 = (32*xi(1)*xi(2)*xi(3)*(2*xi(1) + 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1))/9;
         dNdxi3 = -(16*xi(1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/9;
       case 123
         dNdxi1 = (64*xi(2)*xi(3)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
         dNdxi2 = (64*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
         dNdxi3 = (64*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
       case 124
         dNdxi1 = (32*xi(1)*xi(2)*xi(3)*(2*xi(2) + 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1))/9;
         dNdxi2 = -(16*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/9;
         dNdxi3 = -(16*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/9;
       case 125
         dNdxi1 = (64*xi(2)*xi(3)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
         dNdxi2 = (64*xi(1)*xi(3)*(2*xi(1) + 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
         dNdxi3 = (64*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
     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_Q4: second order derivative evaluation not supported.')

   otherwise
     vBase = 0;

 end