Interpolation function, u=, c1 + c2*x + c3*y + c4*z + c5*x^2 + c11*x^3 + c8*y^2 + c17*y^3 + c10*z^2 + c20*z^3 + c12*x^2*y + c14*x*y^2 + c21*x^3*y + c26*x*y^3 + c13*x^2*z + c16*x*z^2 + c22*x^3*z + c29*x*z^3 + c18*y^2*z + c19*y*z^2 + c30*y^3*z + c32*y*z^3 + c23*x^2*y^2 + c33*x^3*y^2 + c36*x^2*y^3 + c45*x^3*y^3 + c65*x^4*(z + 1) + c25*x^2*z^2 + c35*x^3*z^2 + c39*x^2*z^3 + c48*x^3*z^3 + c66*y^4*(z + 1) + c31*y^2*z^2 + c43*y^3*z^2 + c44*y^2*z^3 + c54*y^3*z^3 + c6*x*y + c7*x*z + c9*y*z + c15*x*y*z + c69*x^4*y^3*(z + 1) + c70*x^3*y^4*(z + 1) + c72*x^4*y^2*(z + 1) + c71*x^4*y^4*(z + 1) + c73*x^2*y^4*(z + 1) + c50*x^2*y^2*z^2 + c56*x^3*y^2*z^2 + c58*x^2*y^3*z^2 + c59*x^2*y^2*z^3 + c61*x^3*y^3*z^2 + c62*x^3*y^2*z^3 + c63*x^2*y^3*z^3 + c64*x^3*y^3*z^3 + c24*x^2*y*z + c27*x*y^2*z + c28*x*y*z^2 + c34*x^3*y*z + c40*x*y^3*z + c42*x*y*z^3 + c67*x^4*y*(z + 1) + c68*x*y^4*(z + 1) + c37*x^2*y^2*z + c38*x^2*y*z^2 + c41*x*y^2*z^2 + c46*x^3*y^2*z + c47*x^3*y*z^2 + c49*x^2*y^3*z + c51*x^2*y*z^3 + c52*x*y^3*z^2 + c53*x*y^2*z^3 + c55*x^3*y^3*z + c57*x^3*y*z^3 + c60*x*y^3*z^3 Number of nodes=73 Node coordinates x y z Cx Cy Cz -1.000 -1.000 -1.000 3 3 3 1.000 -1.000 -1.000 3 3 3 1.000 1.000 -1.000 3 3 3 -1.000 1.000 -1.000 3 3 3 -1.000 -1.000 1.000 4 4 3 1.000 -1.000 1.000 4 4 3 1.000 1.000 1.000 4 4 3 -1.000 1.000 1.000 4 4 3 1.000 1.000 0.447 4 4 3 1.000 1.000 -0.447 4 4 3 1.000 0.655 1.000 4 4 3 1.000 0.447 0.447 4 4 3 1.000 0.447 -0.447 4 4 3 1.000 0.447 -1.000 3 3 3 1.000 -0.655 1.000 4 4 3 1.000 -0.447 0.447 4 4 3 1.000 -0.447 -0.447 4 4 3 1.000 -0.447 -1.000 3 3 3 1.000 -1.000 0.447 4 4 3 1.000 -1.000 -0.447 4 4 3 0.655 1.000 1.000 4 4 3 0.447 1.000 0.447 4 4 3 0.447 1.000 -0.447 4 4 3 0.447 1.000 -1.000 3 3 3 0.655 0.655 1.000 4 4 3 0.447 0.447 0.447 4 4 3 0.447 0.447 -0.447 4 4 3 0.447 0.447 -1.000 3 3 3 0.655 -0.655 1.000 4 4 3 0.447 -0.447 0.447 4 4 3 0.447 -0.447 -0.447 4 4 3 0.447 -0.447 -1.000 3 3 3 0.655 -1.000 1.000 4 4 3 0.447 -1.000 0.447 4 4 3 0.447 -1.000 -0.447 4 4 3 0.447 -1.000 -1.000 3 3 3 -0.655 1.000 1.000 4 4 3 -0.447 1.000 0.447 4 4 3 -0.447 1.000 -0.447 4 4 3 -0.447 1.000 -1.000 3 3 3 -0.655 0.655 1.000 4 4 3 -0.447 0.447 0.447 4 4 3 -0.447 0.447 -0.447 4 4 3 -0.447 0.447 -1.000 3 3 3 -0.655 -0.655 1.000 4 4 3 -0.447 -0.447 0.447 4 4 3 -0.447 -0.447 -0.447 4 4 3 -0.447 -0.447 -1.000 3 3 3 -0.655 -1.000 1.000 4 4 3 -0.447 -1.000 0.447 4 4 3 -0.447 -1.000 -0.447 4 4 3 -0.447 -1.000 -1.000 3 3 3 -1.000 1.000 0.447 4 4 3 -1.000 1.000 -0.447 4 4 3 -1.000 0.655 1.000 4 4 3 -1.000 0.447 0.447 4 4 3 -1.000 0.447 -0.447 4 4 3 -1.000 0.447 -1.000 3 3 3 -1.000 -0.655 1.000 4 4 3 -1.000 -0.447 0.447 4 4 3 -1.000 -0.447 -0.447 4 4 3 -1.000 -0.447 -1.000 3 3 3 -1.000 -1.000 0.447 4 4 3 -1.000 -1.000 -0.447 4 4 3 0.000 1.000 1.000 4 4 3 0.000 -1.000 1.000 4 4 3 0.000 0.000 1.000 4 4 3 1.000 0.000 1.000 4 4 3 -1.000 0.000 1.000 4 4 3 0.000 0.655 1.000 4 4 3 0.000 -0.655 1.000 4 4 3 0.655 0.000 1.000 4 4 3 -0.655 0.000 1.000 4 4 3 Shape Functions----------------------- N1=(1125899906842015*x)/576460752303423488 + (70368744177655*y)/36028797018963968 + (70368744177649*z)/36028797018963968 - (25*x^2*y^2)/512 + (25*x^2*y^3)/512 + (1759218604441557*x^3*y^2)/36028797018963968 - (109951162777595*x^3*y^3)/2251799813685248 - (25*x^2*z^2)/512 + (25*x^2*z^3)/512 + (25*x^3*z^2)/512 - (25*x^3*z^3)/512 - (y^4*(z + 1))/9007199254740992 - (25*y^2*z^2)/512 + (3518437208883297*y^2*z^3)/72057594037927936 + (25*y^3*z^2)/512 - (1759218604441669*y^3*z^3)/36028797018963968 - (17592186044421*x*y)/9007199254740992 - (281474976710513*x*z)/144115188075855872 - (70368744177675*y*z)/36028797018963968 - (1407374883553119*x*y^2)/144115188075855872 - (175921860444167*x^2*y)/18014398509481984 + (87960930222087*x*y^3)/9007199254740992 + (703687441776597*x^3*y)/72057594037927936 - (2814749767106363*x*z^2)/288230376151711744 - (5*x^2*z)/512 + (1407374883553235*x*z^3)/144115188075855872 + (703687441776595*x^3*z)/72057594037927936 - (87960930222077*y*z^2)/9007199254740992 - (87960930222083*y^2*z)/9007199254740992 + (703687441776607*y*z^3)/72057594037927936 + (5*y^3*z)/512 + (703687441776683*x^2)/72057594037927936 - (5*x^3)/512 + (87960930222087*y^2)/9007199254740992 - (703687441776703*y^3)/72057594037927936 + (2814749767106665*z^2)/288230376151711744 - (5*z^3)/512 + (87960930222083*x*y*z^2)/9007199254740992 + (2814749767106493*x*y^2*z)/288230376151711744 + (43980465111029*x^2*y*z)/4503599627370496 - (175921860444137*x*y*z^3)/18014398509481984 - (1407374883553085*x*y^3*z)/144115188075855872 - (351843720888365*x^3*y*z)/36028797018963968 - (299*x*y^4*(z + 1))/144115188075855872 - (11*x^4*y*(z + 1))/36028797018963968 + (25*x*y^2*z^2)/512 + (25*x^2*y*z^2)/512 + (109951162777593*x^2*y^2*z)/2251799813685248 - (1759218604441647*x*y^2*z^3)/36028797018963968 - (25*x*y^3*z^2)/512 - (1759218604441647*x^2*y*z^3)/36028797018963968 - (439804651110415*x^2*y^3*z)/9007199254740992 - (879609302220769*x^3*y*z^2)/18014398509481984 - (25*x^3*y^2*z)/512 + (879609302220719*x*y^3*z^3)/18014398509481984 + (219902325555187*x^3*y*z^3)/4503599627370496 + (25*x^3*y^3*z)/512 + (281474976710589*x*y*z)/144115188075855872 - (13*x^2*y^4*(z + 1))/4503599627370496 - (3*x^4*y^2*(z + 1))/2251799813685248 - (37*x^3*y^4*(z + 1))/144115188075855872 + (3*x^4*y^3*(z + 1))/4503599627370496 + (15*x^4*y^4*(z + 1))/4503599627370496 + (125*x^2*y^2*z^2)/512 - (125*x^2*y^2*z^3)/512 - (125*x^2*y^3*z^2)/512 - (125*x^3*y^2*z^2)/512 + (125*x^2*y^3*z^3)/512 + (125*x^3*y^2*z^3)/512 + (125*x^3*y^3*z^2)/512 - (125*x^3*y^3*z^3)/512 - 70368744177673/36028797018963968 N2=y/512 - (1125899906842425*x)/576460752303423488 + (70368744177657*z)/36028797018963968 - (27487790694399*x^2*y^2)/562949953421312 + (25*x^2*y^3)/512 - (25*x^3*y^2)/512 + (25*x^3*y^3)/512 + (x^4*(z + 1))/9007199254740992 - (25*x^2*z^2)/512 + (25*x^2*z^3)/512 - (25*x^3*z^2)/512 + (25*x^3*z^3)/512 + (y^4*(z + 1))/9007199254740992 - (25*y^2*z^2)/512 + (25*y^2*z^3)/512 + (25*y^3*z^2)/512 - (25*y^3*z^3)/512 + (35184372088837*x*y)/18014398509481984 + (140737488355279*x*z)/72057594037927936 - (140737488355311*y*z)/72057594037927936 + (1407374883553221*x*y^2)/144115188075855872 - (175921860444145*x^2*y)/18014398509481984 - (1407374883553219*x*y^3)/144115188075855872 - (703687441776661*x^3*y)/72057594037927936 + (5*x*z^2)/512 - (43980465111043*x^2*z)/4503599627370496 - (5*x*z^3)/512 - (175921860444151*x^3*z)/18014398509481984 - (5*y*z^2)/512 - (87960930222083*y^2*z)/9007199254740992 + (703687441776567*y*z^3)/72057594037927936 + (703687441776533*y^3*z)/72057594037927936 + (5*x^2)/512 + (2814749767106747*x^3)/288230376151711744 + (175921860444165*y^2)/18014398509481984 - (703687441776615*y^3)/72057594037927936 + (5*z^2)/512 - (351843720888311*z^3)/36028797018963968 - (351843720888287*x*y*z^2)/36028797018963968 - (2814749767106379*x*y^2*z)/288230376151711744 + (87960930222091*x^2*y*z)/9007199254740992 + (175921860444171*x*y*z^3)/18014398509481984 + (1407374883552971*x*y^3*z)/144115188075855872 + (175921860444185*x^3*y*z)/18014398509481984 + (181*x*y^4*(z + 1))/144115188075855872 + (15*x^4*y*(z + 1))/36028797018963968 - (25*x*y^2*z^2)/512 + (25*x^2*y*z^2)/512 + (219902325555207*x^2*y^2*z)/4503599627370496 + (25*x*y^2*z^3)/512 + (25*x*y^3*z^2)/512 - (25*x^2*y*z^3)/512 - (25*x^2*y^3*z)/512 + (25*x^3*y*z^2)/512 + (25*x^3*y^2*z)/512 - (879609302220733*x*y^3*z^3)/18014398509481984 - (25*x^3*y*z^3)/512 - (1759218604441695*x^3*y^3*z)/36028797018963968 - (140737488355237*x*y*z)/72057594037927936 + (x^2*y^4*(z + 1))/2251799813685248 + (15*x^4*y^2*(z + 1))/9007199254740992 + (19*x^3*y^4*(z + 1))/144115188075855872 + (x^4*y^3*(z + 1))/2251799813685248 - (x^4*y^4*(z + 1))/2251799813685248 + (125*x^2*y^2*z^2)/512 - (125*x^2*y^2*z^3)/512 - (125*x^2*y^3*z^2)/512 + (125*x^3*y^2*z^2)/512 + (125*x^2*y^3*z^3)/512 - (125*x^3*y^2*z^3)/512 - (125*x^3*y^3*z^2)/512 + (125*x^3*y^3*z^3)/512 - 8796093022207/4503599627370496 N3=z/512 - (70368744177669*y)/36028797018963968 - x/512 - (25*x^2*y^2)/512 - (25*x^2*y^3)/512 - (7036874417766849*x^3*y^2)/144115188075855872 - (25*x^3*y^3)/512 - (x^4*(z + 1))/9007199254740992 - (25*x^2*z^2)/512 + (25*x^2*z^3)/512 - (25*x^3*z^2)/512 + (25*x^3*z^3)/512 - (25*y^2*z^2)/512 + (25*y^2*z^3)/512 - (25*y^3*z^2)/512 + (25*y^3*z^3)/512 - (8796093022213*x*y)/4503599627370496 + (281474976710701*x*z)/144115188075855872 + (140737488355323*y*z)/72057594037927936 + (703687441776777*x*y^2)/72057594037927936 + (87960930222073*x^2*y)/9007199254740992 + (1407374883553123*x*y^3)/144115188075855872 + (10995116277761*x^3*y)/1125899906842624 + (5*x*z^2)/512 - (175921860444155*x^2*z)/18014398509481984 - (2814749767106373*x*z^3)/288230376151711744 - (5*x^3*z)/512 + (5*y*z^2)/512 - (43980465111037*y^2*z)/4503599627370496 - (351843720888289*y*z^3)/36028797018963968 - (351843720888283*y^3*z)/36028797018963968 + (5*x^2)/512 + (2814749767106657*x^3)/288230376151711744 + (175921860444149*y^2)/18014398509481984 + (5*y^3)/512 + (5*z^2)/512 - (703687441776661*z^3)/72057594037927936 + (351843720888307*x*y*z^2)/36028797018963968 - (1407374883553449*x*y^2*z)/144115188075855872 - (43980465111041*x^2*y*z)/4503599627370496 - (87960930222061*x*y*z^3)/9007199254740992 - (703687441776323*x*y^3*z)/72057594037927936 - (351843720888293*x^3*y*z)/36028797018963968 - (5*x*y^4*(z + 1))/72057594037927936 - (7*x^4*y*(z + 1))/9007199254740992 - (25*x*y^2*z^2)/512 - (25*x^2*y*z^2)/512 + (219902325555191*x^2*y^2*z)/4503599627370496 + (25*x*y^2*z^3)/512 - (879609302220779*x*y^3*z^2)/18014398509481984 + (25*x^2*y*z^3)/512 + (219902325555205*x^2*y^3*z)/4503599627370496 - (27487790694401*x^3*y*z^2)/562949953421312 + (25*x^3*y^2*z)/512 + (439804651110377*x*y^3*z^3)/9007199254740992 + (219902325555195*x^3*y*z^3)/4503599627370496 + (879609302220859*x^3*y^3*z)/18014398509481984 + (281474976711085*x*y*z)/144115188075855872 - (x^2*y^4*(z + 1))/4503599627370496 - (11*x^4*y^2*(z + 1))/9007199254740992 + (57*x^3*y^4*(z + 1))/72057594037927936 - (x^4*y^3*(z + 1))/4503599627370496 - (x^4*y^4*(z + 1))/4503599627370496 + (125*x^2*y^2*z^2)/512 - (125*x^2*y^2*z^3)/512 + (125*x^2*y^3*z^2)/512 + (125*x^3*y^2*z^2)/512 - (125*x^2*y^3*z^3)/512 - (125*x^3*y^2*z^3)/512 + (125*x^3*y^3*z^2)/512 - (125*x^3*y^3*z^3)/512 - 70368744177679/36028797018963968 N4=(2251799813685445*x)/1152921504606846976 - (562949953421275*y)/288230376151711744 + (562949953421355*z)/288230376151711744 - (25*x^2*y^2)/512 - (25*x^2*y^3)/512 + (25*x^3*y^2)/512 + (1759218604441549*x^3*y^3)/36028797018963968 + (849595687433963*x^4*(z + 1))/20282409603651670423947251286016 - (25*x^2*z^2)/512 + (25*x^2*z^3)/512 + (25*x^3*z^2)/512 - (25*x^3*z^3)/512 + (y^4*(z + 1))/36028797018963968 - (25*y^2*z^2)/512 + (25*y^2*z^3)/512 - (25*y^3*z^2)/512 + (25*y^3*z^3)/512 + (9007199254738777*x*y)/4611686018427387904 - (4503599627372277*x*z)/2305843009213693952 + (70368744177637*y*z)/36028797018963968 - (703687441776705*x*y^2)/72057594037927936 + (5*x^2*y)/512 - (1407374883553117*x*y^3)/144115188075855872 - (5629499534212665*x^3*y)/576460752303423488 - (5629499534213275*x*z^2)/576460752303423488 - (5*x^2*z)/512 + (5*x*z^3)/512 + (5*x^3*z)/512 + (703687441776619*y*z^2)/72057594037927936 - (5*y^2*z)/512 - (1407374883553321*y*z^3)/144115188075855872 - (351843720888305*y^3*z)/36028797018963968 + (2814749767106657*x^2)/288230376151711744 - (5629499534213337*x^3)/576460752303423488 + (5*y^2)/512 + (5*y^3)/512 + (5*z^2)/512 - (5*z^3)/512 - (5629499534212511*x*y*z^2)/576460752303423488 + (5629499534212817*x*y^2*z)/576460752303423488 - (175921860444133*x^2*y*z)/18014398509481984 + (2814749767106047*x*y*z^3)/288230376151711744 + (2814749767105483*x*y^3*z)/288230376151711744 + (5629499534211725*x^3*y*z)/576460752303423488 - (3626361121247057*x*y^4*(z + 1))/324518553658426726783156020576256 + (15*x^4*y*(z + 1))/36028797018963968 + (25*x*y^2*z^2)/512 - (25*x^2*y*z^2)/512 + (25*x^2*y^2*z)/512 - (25*x*y^2*z^3)/512 + (1759218604441559*x*y^3*z^2)/36028797018963968 + (25*x^2*y*z^3)/512 + (25*x^2*y^3*z)/512 + (25*x^3*y*z^2)/512 - (25*x^3*y^2*z)/512 - (7036874417766143*x*y^3*z^3)/144115188075855872 - (3518437208883055*x^3*y*z^3)/72057594037927936 - (7036874417765939*x^3*y^3*z)/144115188075855872 - (9007199254739347*x*y*z)/4611686018427387904 - (x^4*y^2*(z + 1))/36028797018963968 + (2612321504444071*x^3*y^4*(z + 1))/5070602400912917605986812821504 + (x^4*y^3*(z + 1))/9007199254740992 - (3*x^4*y^4*(z + 1))/4503599627370496 + (125*x^2*y^2*z^2)/512 - (125*x^2*y^2*z^3)/512 + (125*x^2*y^3*z^2)/512 - (125*x^3*y^2*z^2)/512 - (125*x^2*y^3*z^3)/512 + (125*x^3*y^2*z^3)/512 - (125*x^3*y^3*z^2)/512 + (125*x^3*y^3*z^3)/512 - 562949953421355/288230376151711744 N5=(2955487262053749*x)/72057594037927936 + (738871815513425*y)/18014398509481984 - (689613693863959*z)/36028797018963968 - (965811013294623*x^2*y^2)/4503599627370496 + (4802666796222993*x^2*y^3)/9007199254740992 + (2401333398111495*x^3*y^2)/4503599627370496 - (3448068469319917*x^3*y^3)/36028797018963968 - (x^4*(z + 1))/4503599627370496 - (5319877064313807*x^2*z^2)/72057594037927936 - (332492316519615*x^2*z^3)/4503599627370496 + (3448068469319769*x^3*z^2)/36028797018963968 + (862017117329949*x^3*z^3)/9007199254740992 + (y^4*(z + 1))/9007199254740992 - (2659938532156923*y^2*z^2)/36028797018963968 - (1329969266078479*y^2*z^3)/18014398509481984 + (862017117329947*y^3*z^2)/9007199254740992 + (1724034234659929*y^3*z^3)/18014398509481984 - (633318699576571*x*y)/36028797018963968 + (5910974524107255*x*z)/144115188075855872 + (2955487262053755*y*z)/72057594037927936 - (4116571543292301*x*y^2)/18014398509481984 - (4116571543292287*x^2*y)/18014398509481984 + (5910974524107537*x*y^3)/144115188075855872 + (1477743631026903*x^3*y)/36028797018963968 - (2955487262053689*x*z^2)/72057594037927936 + (1329969266078475*x^2*z)/18014398509481984 - (2955487262053639*x*z^3)/72057594037927936 - (3448068469319791*x^3*z)/36028797018963968 - (1477743631026825*y*z^2)/36028797018963968 + (166246158259809*y^2*z)/2251799813685248 - (184717953878355*y*z^3)/4503599627370496 - (1724034234659901*y^3*z)/18014398509481984 + (5319877064313805*x^2)/72057594037927936 - (1724034234659909*x^3)/18014398509481984 + (1329969266078447*y^2)/18014398509481984 - (107752139666243*y^3)/1125899906842624 + (1379227387727939*z^2)/72057594037927936 + (1379227387727915*z^3)/72057594037927936 + (3166593497882617*x*y*z^2)/36028797018963968 - (2058285771646147*x*y^2*z)/9007199254740992 - 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(4693204297089009*x^4*y^2*(z + 1))/2251799813685248 + (1536211710921153*x^3*y^4*(z + 1))/1125899906842624 - (3072423421842307*x^4*y^3*(z + 1))/2251799813685248 + (4693204297089013*x^4*y^4*(z + 1))/2251799813685248 + (3754563437671247*x^2*y^2*z^2)/36028797018963968 + (7509126875341819*x^2*y^2*z^3)/72057594037927936 - (1536211710921175*x^2*y^3*z^2)/4503599627370496 + (6144846843684595*x^3*y^2*z^2)/18014398509481984 - (1536211710921173*x^2*y^3*z^3)/4503599627370496 + (6144846843684769*x^3*y^2*z^3)/18014398509481984 - (1257108294984645*x^3*y^3*z^2)/1125899906842624 - (1257108294984647*x^3*y^3*z^3)/1125899906842624 - 7509126875342603/72057594037927936 N30=(4917165483517167*x)/9007199254740992 - (1229291370879297*y)/2251799813685248 + (2458582741758585*z)/4503599627370496 + (1099511627776029*x^2*y^2)/4503599627370496 - (614645685439655*x^2*y^3)/1125899906842624 + (2458582741758569*x^3*y^2)/4503599627370496 - (625*x^3*y^3)/512 + (6532797184599863*x^4*(z + 1))/2535301200456458802993406410752 + (125*x^2*z^2)/512 + (76830710679955*x^2*z^3)/140737488355328 + (4917165483517133*x^3*z^2)/9007199254740992 + (625*x^3*z^3)/512 + (486082343860249*y^4*(z + 1))/2535301200456458802993406410752 + (125*y^2*z^2)/512 + (76830710679955*y^2*z^3)/140737488355328 - (2458582741758591*y^3*z^2)/4503599627370496 - (625*y^3*z^3)/512 - (625*x*y)/512 + (625*x*z)/512 - (625*y*z)/512 - (614645685439649*x*y^2)/1125899906842624 + (4917165483517249*x^2*y)/9007199254740992 + (625*x*y^3)/512 + (625*x^3*y)/512 - (2458582741758579*x*z^2)/4503599627370496 - (2458582741758567*x^2*z)/4503599627370496 - (625*x*z^3)/512 - (625*x^3*z)/512 + (4917165483517185*y*z^2)/9007199254740992 - (76830710679955*y^2*z)/140737488355328 + (625*y*z^3)/512 + (625*y^3*z)/512 - (125*x^2)/512 - (4917165483517149*x^3)/9007199254740992 - (125*y^2)/512 + (19207677669989*y^3)/35184372088832 - (125*z^2)/512 - (2458582741758577*z^3)/4503599627370496 + (625*x*y*z^2)/512 - (625*x*y^2*z)/512 + (625*x^2*y*z)/512 + (6146456854396419*x*y*z^3)/2251799813685248 + (12004798543743*x*y^3*z)/4398046511104 + (3073228427198211*x^3*y*z)/1125899906842624 + (29*x*y^4*(z + 1))/9007199254740992 - (107*x^4*y*(z + 1))/36028797018963968 + (2458582741758573*x*y^2*z^2)/4503599627370496 - (4917165483517227*x^2*y*z^2)/9007199254740992 + (4917165483517111*x^2*y^2*z)/9007199254740992 + (625*x*y^2*z^3)/512 - (625*x*y^3*z^2)/512 - (625*x^2*y*z^3)/512 - (625*x^2*y^3*z)/512 - (625*x^3*y*z^2)/512 + (625*x^3*y^2*z)/512 - (768307106799551*x*y^3*z^3)/281474976710656 - (768307106799551*x^3*y*z^3)/281474976710656 - (6146456854396419*x^3*y^3*z)/2251799813685248 - (768307106799553*x*y*z)/281474976710656 + (25*x^2*y^4*(z + 1))/36028797018963968 - (53*x^4*y^2*(z + 1))/18014398509481984 - (5*x^3*y^4*(z + 1))/4503599627370496 + (187*x^4*y^3*(z + 1))/72057594037927936 - (11*x^4*y^4*(z + 1))/18014398509481984 - (125*x^2*y^2*z^2)/512 - (1229291370879273*x^2*y^2*z^3)/2251799813685248 + (1229291370879307*x^2*y^3*z^2)/2251799813685248 - (307322842719821*x^3*y^2*z^2)/562949953421312 + (625*x^2*y^3*z^3)/512 - (625*x^3*y^2*z^3)/512 + (625*x^3*y^3*z^2)/512 + (3073228427198203*x^3*y^3*z^3)/1125899906842624 + 125/512 N31=(4917165483517167*x)/9007199254740992 - (2458582741758579*y)/4503599627370496 - (4917165483517151*z)/9007199254740992 + (125*x^2*y^2)/512 - (4917165483517107*x^2*y^3)/9007199254740992 + (2458582741758593*x^3*y^2)/4503599627370496 - (625*x^3*y^3)/512 - (5385049737302935*x^4*(z + 1))/2535301200456458802993406410752 + (125*x^2*z^2)/512 - (4917165483517115*x^2*z^3)/9007199254740992 + (2458582741758607*x^3*z^2)/4503599627370496 - (625*x^3*z^3)/512 - (2035098548882765*y^4*(z + 1))/20282409603651670423947251286016 + (125*y^2*z^2)/512 - (2458582741758557*y^2*z^3)/4503599627370496 - (2458582741758573*y^3*z^2)/4503599627370496 + (625*y^3*z^3)/512 - (625*x*y)/512 - (625*x*z)/512 + (625*y*z)/512 - (2458582741758571*x*y^2)/4503599627370496 + (1229291370879281*x^2*y)/2251799813685248 + (625*x*y^3)/512 + (625*x^3*y)/512 - (4917165483517179*x*z^2)/9007199254740992 + (4917165483517133*x^2*z)/9007199254740992 + (625*x*z^3)/512 + (625*x^3*z)/512 + (4917165483517149*y*z^2)/9007199254740992 + (4917165483517109*y^2*z)/9007199254740992 - (625*y*z^3)/512 - (625*y^3*z)/512 - (4398046511103893*x^2)/18014398509481984 - (4917165483517197*x^3)/9007199254740992 - (125*y^2)/512 + (4917165483517149*y^3)/9007199254740992 - (125*z^2)/512 + (2458582741758571*z^3)/4503599627370496 + (625*x*y*z^2)/512 + (625*x*y^2*z)/512 - (625*x^2*y*z)/512 - (3073228427198203*x*y*z^3)/1125899906842624 - (6146456854396399*x*y^3*z)/2251799813685248 - (1536614213599105*x^3*y*z)/562949953421312 - (847225211455995*x*y^4*(z + 1))/316912650057057350374175801344 + (1021860678163703*x^4*y*(z + 1))/633825300114114700748351602688 + (4917165483517187*x*y^2*z^2)/9007199254740992 - (4917165483517119*x^2*y*z^2)/9007199254740992 - (4917165483517077*x^2*y^2*z)/9007199254740992 - (625*x*y^2*z^3)/512 - (625*x*y^3*z^2)/512 + (625*x^2*y*z^3)/512 + (625*x^2*y^3*z)/512 - (625*x^3*y*z^2)/512 - (625*x^3*y^2*z)/512 + (3073228427198193*x*y^3*z^3)/1125899906842624 + (3073228427198201*x^3*y*z^3)/1125899906842624 + (6146456854396407*x^3*y^3*z)/2251799813685248 + (6146456854396419*x*y*z)/2251799813685248 - (339540322349017*x^2*y^4*(z + 1))/158456325028528675187087900672 - (7514817742183665*x^4*y^2*(z + 1))/20282409603651670423947251286016 + (5248034723739639*x^3*y^4*(z + 1))/5070602400912917605986812821504 - (4959445132944851*x^4*y^3*(z + 1))/2535301200456458802993406410752 + (4982734313441947*x^4*y^4*(z + 1))/2535301200456458802993406410752 - 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(1966866193406829*y*z)/18014398509481984 + (7867464773627343*x*y^2)/72057594037927936 - (7867464773627465*x^2*y)/72057594037927936 - (125*x*y^3)/512 - (125*x^3*y)/512 + (1229291370879289*x*z^2)/2251799813685248 - (439804651110387*x^2*z)/9007199254740992 - (4917165483517187*x*z^3)/9007199254740992 - (7867464773627777*x^3*z)/72057594037927936 - (4917165483517151*y*z^2)/9007199254740992 - (7036874417766159*y^2*z)/144115188075855872 + (2458582741758573*y*z^3)/4503599627370496 + (7867464773627269*y^3*z)/72057594037927936 + (1759218604441537*x^2)/36028797018963968 + (3933732386813791*x^3)/36028797018963968 + (25*y^2)/512 - (3933732386813701*y^3)/36028797018963968 + (125*z^2)/512 - (125*z^3)/512 - (625*x*y*z^2)/512 - (3933732386813927*x*y^2*z)/36028797018963968 + (1966866193406933*x^2*y*z)/18014398509481984 + (625*x*y*z^3)/512 + (4398046511103839*x*y^3*z)/18014398509481984 + (8796093022207785*x^3*y*z)/36028797018963968 + (6315147833312599*x*y^4*(z + 1))/5070602400912917605986812821504 - (954001661698633*x^4*y*(z + 1))/20282409603651670423947251286016 - 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