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FEATool Multiphysics
v1.17.1
Finite Element Analysis Toolbox
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FEATool Multiphysics
v1.17.1
Finite Element Analysis Toolbox
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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
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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
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