restart;
with(LinearAlgebra):

# Define indeterminates

QParam := [q1,q2,q3,q4,q5,q6,q7,q8,q9,q10,q11,q12,q13,q14,q15,q16,q17,q18,q19,q20,q21,q22,q23,q24,q25,q26,q27,q28,q29,q30,q31,q32,q33,q34]:
PParam := Matrix([[p1],[p2],[p3],[p4],[p5],[p6],[p7],[p8],[p9],[p10],[p11],[p12],[p13],[p14],[p15],[p16],[p17],[p18],[p19],[p20],[p21],[p22],[p23],[p24],[p25],[p26],[p27],[p28],[p29],[p30],[p31],[p32],[p33],[p34],[p35],[p36],[p37],[p38],[p39],[p40],[p41],[p42],[p43],[p44],[p45],[p46],[p47],[p48],[p49],[p50],[p51]]):

# Special Fourier parameterization and inverse

F := Matrix([
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],
[1,-1/3,-1/3,1,-1/3,1,-1/3,-1/3,-1/3,1,-1/3,-1/3,-1/3,1,-1/3,1,-1/3,-1/3,-1/3,1,-1/3,-1/3,-1/3,1,-1/3,1,-1/3,-1/3,-1/3,1,-1/3,-1/3,-1/3,1,-1/3,1,-1/3,-1/3,-1/3,-1/3,1,-1/3,-1/3,-1/3,-1/3,1,-1/3,-1/3,-1/3,-1/3,1],
[1,-1/3,1,-1/3,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,-1/3,-1/3,1,-1/3,-1/3,-1/3,1,-1/3,-1/3,-1/3,1,-1/3,-1/3,-1/3,1,-1/3],
[1,1,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,1,1,1,-1/3,-1/3,-1/3,-1/3,1,1,1,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,1,1,1,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,1,1,1,1,-1/3,-1/3,-1/3,-1/3],
[1,-1/3,-1/3,-1/3,1/3,-1/3,-1/3,1/3,-1/3,1,-1/3,1/3,-1/3,-1/3,1/3,1,-1/3,-1/3,-1/3,-1/3,1/3,-1/3,1/3,-1/3,1/3,-1/3,-1/3,1/3,-1/3,1,-1/3,1/3,-1/3,-1/3,1/3,-1/3,1/3,-1/3,1/3,1/3,-1/3,-1/3,1/3,-1/3,-1/3,1,-1/3,1/3,1/3,-1/3,-1/3],
[1,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,-1/3,1,-1/3,-1/3,-1/3,1,-1/3,-1/3,-1/3,1,-1/3,-1/3,-1/3,1,-1/3,-1/3],
[1,1,-1/3,-1/3,-1/3,1,1,1,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,1,1,1,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,1,1,1,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,1,1,1,1,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3],
[1,-1/3,-1/3,-1/3,1/3,1,-1/3,-1/3,-1/3,-1/3,1/3,-1/3,1/3,-1/3,1/3,-1/3,-1/3,1/3,-1/3,1,-1/3,1/3,-1/3,-1/3,1/3,-1/3,-1/3,1/3,-1/3,1,-1/3,1/3,-1/3,-1/3,1/3,-1/3,-1/3,1/3,1/3,-1/3,1,-1/3,-1/3,1/3,-1/3,-1/3,1/3,1/3,-1/3,1/3,-1/3],
[1,1,1,1,1,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,1,1,1,1,1,1,1,1,1,1,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3],
[1,-1/3,-1/3,1/9,1/9,-1/3,1/9,1/9,1,-1/3,-1/3,-1/3,1/9,1/9,1/9,-1/3,1,-1/3,1/9,-1/3,1/9,1/9,-1/3,1/9,1/9,1/9,-1/3,1/9,-1/3,1,-1/3,1/9,-1/3,1/9,1/9,1/9,-1/3,1/9,1/9,1/9,-1/3,1/9,1/9,-1/3,1,-1/3,-1/3,1/9,-1/3,1/9,1/9],
[1,-1/3,-1/3,1/3,0,-1/3,1/3,0,-1/3,-1/3,1/3,1/3,0,0,-1/3,-1/3,-1/3,1/3,1/3,-1/3,0,0,1/3,0,-1/3,1/3,-1/3,0,-1/3,1,-1/3,0,-1/3,1/3,0,0,1/3,0,-1/3,0,-1/3,1/3,0,1/3,-1/3,-1/3,1/3,-1/3,1/3,0,0],
[1,-1/3,1,-1/3,-1/3,-1/3,-1/3,1/3,-1/3,-1/3,1/3,-1/3,-1/3,1/3,1/3,-1/3,-1/3,1/3,-1/3,-1/3,1/3,-1/3,-1/3,1/3,1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,1/3,-1/3,-1/3,1/3,1/3,-1/3,-1/3,1/3,1/3,-1/3,-1/3,1/3,1/3,-1/3,-1/3,1/3],
[1,1,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,1/3,1/3,1/3,1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,1/3,1/3,1/3,1/3,-1/3,-1/3,-1/3,1,1,1,-1/3,-1/3,-1/3,-1/3,1/3,1/3,1/3,1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,1/3,1/3,1/3,1/3],
[1,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,-1/3,1,-1/3,-1/3,-1/3,1,-1/3,-1/3,-1/3,1,-1/3,-1/3,-1/3,1,-1/3,-1/3,-1/3],
[1,1,-1/3,-1/3,-1/3,1,1,1,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,1,1,1,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,1,1,1,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,1,1,1,1,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3],
[1,-1/3,-1/3,-1/3,1/3,1,-1/3,-1/3,-1/3,-1/3,1/3,-1/3,1/3,-1/3,1/3,1,-1/3,-1/3,-1/3,-1/3,1/3,-1/3,1/3,-1/3,1/3,1,-1/3,-1/3,-1/3,-1/3,1/3,-1/3,1/3,-1/3,1/3,1,-1/3,-1/3,-1/3,-1/3,-1/3,1/3,1/3,-1/3,1/3,-1/3,1/3,-1/3,1/3,1/3,-1/3],
[1,1,1,1,1,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,1,1,1,1,1,1,1,1,1,1,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3],
[1,-1/3,-1/3,1/9,1/9,-1/3,1/9,1/9,1,-1/3,-1/3,-1/3,1/9,1/9,1/9,1,-1/3,-1/3,-1/3,1/9,1/9,-1/3,1/9,1/9,1/9,-1/3,1/9,1/9,1,-1/3,-1/3,-1/3,1/9,1/9,1/9,-1/3,1/9,1/9,1/9,-1/3,1/9,1/9,1/9,1,-1/3,-1/3,-1/3,-1/3,1/9,1/9,1/9],
[1,-1/3,-1/3,1/3,0,-1/3,1/3,0,-1/3,-1/3,1/3,1/3,0,0,-1/3,1,-1/3,-1/3,-1/3,1/3,0,-1/3,0,1/3,0,-1/3,1/3,0,-1/3,-1/3,1/3,1/3,0,0,-1/3,-1/3,0,1/3,0,1/3,0,0,-1/3,-1/3,1/3,-1/3,1/3,1/3,-1/3,0,0],
[1,-1/3,1,-1/3,-1/3,-1/3,-1/3,1/3,-1/3,-1/3,1/3,-1/3,-1/3,1/3,1/3,1,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,-1/3,-1/3,-1/3,1/3,-1/3,-1/3,1/3,-1/3,-1/3,1/3,1/3,-1/3,1/3,-1/3,1/3,-1/3,1/3,-1/3,1/3,-1/3,1/3,-1/3,1/3,-1/3,1/3,-1/3,1/3],
[1,1,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,1/3,1/3,1/3,1/3,1,1,1,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,1/3,1/3,1/3,1/3,-1/3,-1/3,-1/3,-1/3,1/3,1/3,1/3,1/3,-1/3,-1/3,-1/3,-1/3,1/3,1/3,1/3,1/3],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3],
[1,-1/3,-1/3,1,-1/3,1,-1/3,-1/3,-1/3,1,-1/3,-1/3,-1/3,1,-1/3,-1/3,1/9,1/9,1/9,-1/3,1/9,1/9,1/9,-1/3,1/9,-1/3,1/9,1/9,1/9,-1/3,1/9,1/9,1/9,-1/3,1/9,-1/3,1/9,1/9,1/9,1/9,-1/3,1/9,1/9,1/9,1/9,-1/3,1/9,1/9,1/9,1/9,-1/3],
[1,-1/3,1,-1/3,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,-1/3,1/9,1/9,-1/3,1/9,1/9,-1/3,1/9,1/9,1/9,1/9,-1/3,1/9,1/9,-1/3,1/9,1/9,-1/3,1/9,1/9,1/9,1/9,-1/3,1/9,1/9,1/9,-1/3,1/9,1/9,1/9,-1/3,1/9,1/9,1/9,-1/3,1/9],
[1,1,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,1,1,1,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,1/9,1/9,1/9,1/9,1/9,1/9,1/9,1/9,1/9,1/9,-1/3,-1/3,-1/3,1/9,1/9,1/9,1/9,1/9,1/9,1/9,1/9,1/9,1/9,1/9,1/9,-1/3,-1/3,-1/3,-1/3,1/9,1/9,1/9,1/9],
[1,-1/3,-1/3,-1/3,1/3,-1/3,-1/3,1/3,-1/3,1,-1/3,1/3,-1/3,-1/3,1/3,-1/3,1/9,1/9,1/9,1/9,-1/9,1/9,-1/9,1/9,-1/9,1/9,1/9,-1/9,1/9,-1/3,1/9,-1/9,1/9,1/9,-1/9,1/9,-1/9,1/9,-1/9,-1/9,1/9,1/9,-1/9,1/9,1/9,-1/3,1/9,-1/9,-1/9,1/9,1/9],
[1,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,1,-1/3,-1/3,-1/3,-1/3,-1/3,1/3,-1/3,-1/3,1/3,-1/3,-1/3,1/3,1/3,-1/3,-1/3,1/3,-1/3,-1/3,1/3,-1/3,-1/3,1/3,1/3,-1/3,-1/3,1/3,1/3,-1/3,-1/3,1/3,1/3,-1/3,-1/3,1/3,1/3,-1/3,-1/3,1/3,1/3],
[1,-1/3,-1/3,-1/3,1/3,1,-1/3,-1/3,-1/3,-1/3,1/3,-1/3,1/3,-1/3,1/3,-1/3,1/3,0,1/3,-1/3,0,0,0,1/3,-1/3,-1/3,1/3,0,1/3,-1/3,0,0,0,1/3,-1/3,-1/3,1/3,0,0,1/3,-1/3,0,0,0,0,1/3,-1/3,0,0,-1/3,1/3],
[1,1,-1/3,-1/3,-1/3,1,1,1,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,1/3,1/3,1/3,1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,1/3,1/3,1/3,1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,1/3,1/3,1/3,1/3,1/3,1/3,1/3,1/3],
[1,-1/3,1,-1/3,-1/3,-1/3,-1/3,1/3,-1/3,-1/3,1/3,-1/3,-1/3,1/3,1/3,-1/3,1/3,0,-1/3,1/3,0,-1/3,1/3,0,0,1/3,-1/3,0,1/3,-1/3,0,1/3,-1/3,0,0,0,0,1/3,-1/3,0,0,1/3,-1/3,0,0,1/3,-1/3,0,0,1/3,-1/3],
[1,-1/3,-1/3,1/9,1/9,-1/3,1/9,1/9,1,-1/3,-1/3,-1/3,1/9,1/9,1/9,-1/3,-1/3,1/3,1/9,1/9,-1/9,1/9,1/9,-1/9,-1/9,1/9,1/9,-1/9,-1/3,-1/3,1/3,1/9,1/9,-1/9,-1/9,1/9,1/9,-1/9,-1/9,1/9,1/9,-1/9,-1/9,-1/3,-1/3,1/3,1/3,1/9,1/9,-1/9,-1/9],
[1,1,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,1/3,1/3,1/3,1/3,-1/3,-1/3,-1/3,1/3,1/3,1/3,0,0,0,0,1/3,1/3,1/3,-1/3,-1/3,-1/3,0,0,0,0,0,0,0,0,0,0,0,0,1/3,1/3,1/3,1/3,-1/3,-1/3,-1/3,-1/3],
[1,-1/3,-1/3,1/3,0,-1/3,1/3,0,-1/3,-1/3,1/3,1/3,0,0,-1/3,-1/3,1/3,0,0,0,0,1/6,-1/6,-1/6,1/6,0,0,0,1/3,-1/3,0,-1/6,1/6,-1/6,1/6,1/6,-1/6,-1/6,1/6,-1/6,1/6,-1/6,1/6,0,0,1/3,-1/3,0,0,0,0],
[1,1,1,1,1,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,-1/3,1/3,1/3,1/3,1/3,1/3,1/3,1/3,1/3,1/3,1/3,1/3,1/3,1/3,1/3,1/3,1/3]
]):

FI := Matrix([
[1/256,3/256,3/256,3/256,3/128,3/256,3/256,3/128,3/256,9/256,3/64,3/128,3/128,3/256,3/256,3/128,3/256,9/256,3/64,3/128,3/128,3/256,9/256,9/256,9/256,9/128,3/128,3/64,3/128,3/64,9/128,3/64,3/32,3/128],
[3/256,-3/256,-3/256,9/256,-3/128,-3/256,9/256,-3/128,9/256,-9/256,-3/64,-3/128,9/128,-3/256,9/256,-3/128,9/256,-9/256,-3/64,-3/128,9/128,9/256,-9/256,-9/256,27/256,-9/128,-3/128,-3/64,9/128,-3/64,-9/128,9/64,-3/32,9/128],
[3/256,-3/256,9/256,-3/256,-3/128,9/256,-3/256,-3/128,9/256,-9/256,-3/64,9/128,-3/128,9/256,-3/256,-3/128,9/256,-9/256,-3/64,9/128,-3/128,9/256,-9/256,27/256,-9/256,-9/128,9/128,-3/64,-3/128,9/64,-9/128,-3/64,-3/32,9/128],
[3/256,9/256,-3/256,-3/256,-3/128,-3/256,-3/256,-3/128,9/256,3/256,3/64,-3/128,-3/128,-3/256,-3/256,-3/128,9/256,3/256,3/64,-3/128,-3/128,9/256,27/256,-9/256,-9/256,-9/128,-3/128,-3/64,-3/128,-3/64,3/128,-3/64,3/32,9/128],
[3/128,-3/128,-3/128,-3/128,3/64,-3/128,-3/128,3/64,9/128,3/128,0,-3/64,-3/64,-3/128,-3/128,3/64,9/128,3/128,0,-3/64,-3/64,9/128,-9/128,-9/128,-9/128,9/64,-3/64,3/32,-3/64,-3/32,3/64,-3/32,0,9/64],
[3/256,9/256,-3/256,-3/256,-3/128,9/256,9/256,9/128,-3/256,-9/256,-3/64,-3/128,-3/128,9/256,9/256,9/128,-3/256,-9/256,-3/64,-3/128,-3/128,9/256,27/256,-9/256,-9/256,-9/128,9/128,9/64,9/128,-3/64,-9/128,-3/64,-3/32,-3/128],
[3/256,-3/256,9/256,-3/256,-3/128,-3/256,9/256,-3/128,-3/256,3/256,3/64,-3/128,-3/128,-3/256,9/256,-3/128,-3/256,3/256,3/64,-3/128,-3/128,9/256,-9/256,27/256,-9/256,-9/128,-3/128,-3/64,9/128,-3/64,3/128,-3/64,3/32,-3/128],
[3/128,-3/128,-3/128,-3/128,3/64,-3/128,9/128,-3/64,-3/128,3/128,0,3/64,-3/64,-3/128,9/128,-3/64,-3/128,3/128,0,3/64,-3/64,9/128,-9/128,-9/128,-9/128,9/64,-3/64,-3/32,9/64,3/32,3/64,-3/32,0,-3/64],
[3/256,-3/256,-3/256,9/256,-3/128,9/256,-3/256,-3/128,-3/256,27/256,-3/64,-3/128,-3/128,9/256,-3/256,-3/128,-3/256,27/256,-3/64,-3/128,-3/128,9/256,-9/256,-9/256,27/256,-9/128,9/128,-3/64,-3/128,-3/64,27/128,-3/64,-3/32,-3/128],
[3/256,9/256,9/256,9/256,9/128,-3/256,-3/256,-3/128,-3/256,-9/256,-3/64,-3/128,-3/128,-3/256,-3/256,-3/128,-3/256,-9/256,-3/64,-3/128,-3/128,9/256,27/256,27/256,27/256,27/128,-3/128,-3/64,-3/128,-3/64,-9/128,-3/64,-3/32,-3/128],
[3/128,-3/128,-3/128,9/128,-3/64,-3/128,-3/128,3/64,-3/128,-9/128,3/32,3/64,-3/64,-3/128,-3/128,3/64,-3/128,-9/128,3/32,3/64,-3/64,9/128,-9/128,-9/128,27/128,-9/64,-3/64,3/32,-3/64,3/32,-9/64,-3/32,3/16,-3/64],
[3/128,-3/128,-3/128,-3/128,3/64,9/128,-3/128,-3/64,-3/128,-9/128,3/32,-3/64,3/64,9/128,-3/128,-3/64,-3/128,-9/128,3/32,-3/64,3/64,9/128,-9/128,-9/128,-9/128,9/64,9/64,-3/32,-3/64,-3/32,-9/64,3/32,3/16,-3/64],
[3/128,-3/128,9/128,-3/128,-3/64,-3/128,-3/128,3/64,-3/128,3/128,0,-3/64,3/64,-3/128,-3/128,3/64,-3/128,3/128,0,-3/64,3/64,9/128,-9/128,27/128,-9/128,-9/64,-3/64,3/32,-3/64,-3/32,3/64,3/32,0,-3/64],
[3/128,9/128,-3/128,-3/128,-3/64,-3/128,-3/128,-3/64,-3/128,3/128,0,3/64,3/64,-3/128,-3/128,-3/64,-3/128,3/128,0,3/64,3/64,9/128,27/128,-9/128,-9/128,-9/64,-3/64,-3/32,-3/64,3/32,3/64,3/32,0,-3/64],
[3/128,-3/128,-3/128,-3/128,3/64,-3/128,-3/128,3/64,-3/128,3/128,-3/32,3/64,3/64,-3/128,-3/128,3/64,-3/128,3/128,-3/32,3/64,3/64,9/128,-9/128,-9/128,-9/128,9/64,-3/64,3/32,-3/64,3/32,3/64,3/32,-3/16,-3/64],
[3/256,9/256,9/256,9/256,9/128,-3/256,-3/256,-3/128,-3/256,-9/256,-3/64,-3/128,-3/128,9/256,9/256,9/128,9/256,27/256,9/64,9/128,9/128,-3/256,-9/256,-9/256,-9/256,-9/128,-3/128,-3/64,-3/128,-3/64,-9/128,-3/64,-3/32,-3/128],
[3/256,-3/256,-3/256,9/256,-3/128,9/256,-3/256,-3/128,-3/256,27/256,-3/64,-3/128,-3/128,-3/256,9/256,-3/128,9/256,-9/256,-3/64,-3/128,9/128,-3/256,3/256,3/256,-9/256,3/128,-3/128,3/64,-3/128,3/64,-9/128,-3/64,3/32,-3/128],
[3/128,-3/128,-3/128,9/128,-3/64,-3/128,-3/128,3/64,-3/128,-9/128,3/32,3/64,-3/64,-3/128,9/128,-3/64,9/128,-9/128,-3/32,-3/64,9/64,-3/128,3/128,3/128,-9/128,3/64,3/64,0,-3/64,0,9/64,-3/32,0,-3/64],
[3/256,-3/256,9/256,-3/256,-3/128,-3/256,9/256,-3/128,-3/256,3/256,3/64,-3/128,-3/128,9/256,-3/256,-3/128,9/256,-9/256,-3/64,9/128,-3/128,-3/256,3/256,-9/256,3/256,3/128,-3/128,3/64,-3/128,-3/64,3/128,3/64,0,-3/128],
[3/256,9/256,-3/256,-3/256,-3/128,9/256,9/256,9/128,-3/256,-9/256,-3/64,-3/128,-3/128,-3/256,-3/256,-3/128,9/256,3/256,3/64,-3/128,-3/128,-3/256,-9/256,3/256,3/256,3/128,-3/128,-3/64,-3/128,3/64,3/128,3/64,0,-3/128],
[3/128,-3/128,-3/128,-3/128,3/64,-3/128,9/128,-3/64,-3/128,3/128,0,3/64,-3/64,-3/128,-3/128,3/64,9/128,3/128,0,-3/64,-3/64,-3/128,3/128,3/128,3/128,-3/64,3/64,0,-3/64,0,-3/64,3/32,0,-3/64],
[3/128,-3/128,9/128,-3/128,-3/64,-3/128,-3/128,3/64,-3/128,3/128,0,-3/64,3/64,9/128,-3/128,-3/64,9/128,-9/128,-3/32,9/64,-3/64,-3/128,3/128,-9/128,3/128,3/64,-3/64,0,3/64,-3/32,3/64,0,3/32,-3/64],
[3/128,-3/128,-3/128,-3/128,3/64,9/128,-3/128,-3/64,-3/128,-9/128,3/32,-3/64,3/64,-3/128,-3/128,3/64,9/128,3/128,0,-3/64,-3/64,-3/128,3/128,3/128,3/128,-3/64,-3/64,0,3/64,3/32,3/64,0,-3/32,-3/64],
[3/128,9/128,-3/128,-3/128,-3/64,-3/128,-3/128,-3/64,-3/128,3/128,0,3/64,3/64,-3/128,-3/128,-3/64,9/128,3/128,3/32,-3/64,-3/64,-3/128,-9/128,3/128,3/128,3/64,3/64,3/32,3/64,0,-3/64,0,-3/32,-3/64],
[3/128,-3/128,-3/128,-3/128,3/64,-3/128,-3/128,3/64,-3/128,3/128,-3/32,3/64,3/64,-3/128,-3/128,3/64,9/128,3/128,0,-3/64,-3/64,-3/128,3/128,3/128,3/128,-3/64,3/64,-3/32,3/64,0,-3/64,0,3/32,-3/64],
[3/256,9/256,-3/256,-3/256,-3/128,-3/256,-3/256,-3/128,9/256,3/256,3/64,-3/128,-3/128,9/256,9/256,9/128,-3/256,-9/256,-3/64,-3/128,-3/128,-3/256,-9/256,3/256,3/256,3/128,-3/128,-3/64,-3/128,3/64,3/128,3/64,0,-3/128],
[3/256,-3/256,9/256,-3/256,-3/128,9/256,-3/256,-3/128,9/256,-9/256,-3/64,9/128,-3/128,-3/256,9/256,-3/128,-3/256,3/256,3/64,-3/128,-3/128,-3/256,3/256,-9/256,3/256,3/128,-3/128,3/64,-3/128,-3/64,3/128,3/64,0,-3/128],
[3/128,-3/128,-3/128,-3/128,3/64,-3/128,-3/128,3/64,9/128,3/128,0,-3/64,-3/64,-3/128,9/128,-3/64,-3/128,3/128,0,3/64,-3/64,-3/128,3/128,3/128,3/128,-3/64,3/64,0,-3/64,0,-3/64,3/32,0,-3/64],
[3/256,-3/256,-3/256,9/256,-3/128,-3/256,9/256,-3/128,9/256,-9/256,-3/64,-3/128,9/128,9/256,-3/256,-3/128,-3/256,27/256,-3/64,-3/128,-3/128,-3/256,3/256,3/256,-9/256,3/128,-3/128,3/64,-3/128,3/64,-9/128,-3/64,3/32,-3/128],
[3/256,9/256,9/256,9/256,9/128,9/256,9/256,9/128,9/256,27/256,9/64,9/128,9/128,-3/256,-3/256,-3/128,-3/256,-9/256,-3/64,-3/128,-3/128,-3/256,-9/256,-9/256,-9/256,-9/128,-3/128,-3/64,-3/128,-3/64,-9/128,-3/64,-3/32,-3/128],
[3/128,-3/128,-3/128,9/128,-3/64,-3/128,9/128,-3/64,9/128,-9/128,-3/32,-3/64,9/64,-3/128,-3/128,3/64,-3/128,-9/128,3/32,3/64,-3/64,-3/128,3/128,3/128,-9/128,3/64,3/64,0,-3/64,0,9/64,-3/32,0,-3/64],
[3/128,-3/128,-3/128,-3/128,3/64,-3/128,-3/128,3/64,9/128,3/128,0,-3/64,-3/64,9/128,-3/128,-3/64,-3/128,-9/128,3/32,-3/64,3/64,-3/128,3/128,3/128,3/128,-3/64,-3/64,0,3/64,3/32,3/64,0,-3/32,-3/64],
[3/128,-3/128,9/128,-3/128,-3/64,9/128,-3/128,-3/64,9/128,-9/128,-3/32,9/64,-3/64,-3/128,-3/128,3/64,-3/128,3/128,0,-3/64,3/64,-3/128,3/128,-9/128,3/128,3/64,-3/64,0,3/64,-3/32,3/64,0,3/32,-3/64],
[3/128,9/128,-3/128,-3/128,-3/64,-3/128,-3/128,-3/64,9/128,3/128,3/32,-3/64,-3/64,-3/128,-3/128,-3/64,-3/128,3/128,0,3/64,3/64,-3/128,-9/128,3/128,3/128,3/64,3/64,3/32,3/64,0,-3/64,0,-3/32,-3/64],
[3/128,-3/128,-3/128,-3/128,3/64,-3/128,-3/128,3/64,9/128,3/128,0,-3/64,-3/64,-3/128,-3/128,3/64,-3/128,3/128,-3/32,3/64,3/64,-3/128,3/128,3/128,3/128,-3/64,3/64,-3/32,3/64,0,-3/64,0,3/32,-3/64],
[3/128,9/128,-3/128,-3/128,-3/64,-3/128,-3/128,-3/64,-3/128,3/128,0,3/64,3/64,9/128,9/128,9/64,-3/128,-9/128,-3/32,-3/64,-3/64,-3/128,-9/128,3/128,3/128,3/64,-3/64,-3/32,-3/64,0,3/64,0,3/32,3/64],
[3/128,-3/128,-3/128,-3/128,3/64,9/128,-3/128,-3/64,-3/128,-9/128,3/32,-3/64,3/64,-3/128,9/128,-3/64,-3/128,3/128,0,3/64,-3/64,-3/128,3/128,3/128,3/128,-3/64,-3/64,3/32,-3/64,0,3/64,0,-3/32,3/64],
[3/128,-3/128,9/128,-3/128,-3/64,-3/128,-3/128,3/64,-3/128,3/128,0,-3/64,3/64,-3/128,9/128,-3/64,-3/128,3/128,3/32,-3/64,-3/64,-3/128,3/128,-9/128,3/128,3/64,3/64,0,-3/64,3/32,-3/64,0,-3/32,3/64],
[3/128,-3/128,-3/128,-3/128,3/64,-3/128,-3/128,3/64,-3/128,3/128,-3/32,3/64,3/64,-3/128,9/128,-3/64,-3/128,3/128,0,3/64,-3/64,-3/128,3/128,3/128,3/128,-3/64,3/64,0,-3/64,-3/32,-3/64,0,3/32,3/64],
[3/128,-3/128,-3/128,-3/128,3/64,-3/128,9/128,-3/64,-3/128,3/128,0,3/64,-3/64,9/128,-3/128,-3/64,-3/128,-9/128,3/32,-3/64,3/64,-3/128,3/128,3/128,3/128,-3/64,-3/64,3/32,-3/64,0,3/64,0,-3/32,3/64],
[3/128,9/128,-3/128,-3/128,-3/64,9/128,9/128,9/64,-3/128,-9/128,-3/32,-3/64,-3/64,-3/128,-3/128,-3/64,-3/128,3/128,0,3/64,3/64,-3/128,-9/128,3/128,3/128,3/64,-3/64,-3/32,-3/64,0,3/64,0,3/32,3/64],
[3/128,-3/128,9/128,-3/128,-3/64,-3/128,9/128,-3/64,-3/128,3/128,3/32,-3/64,-3/64,-3/128,-3/128,3/64,-3/128,3/128,0,-3/64,3/64,-3/128,3/128,-9/128,3/128,3/64,3/64,0,-3/64,3/32,-3/64,0,-3/32,3/64],
[3/128,-3/128,-3/128,-3/128,3/64,-3/128,9/128,-3/64,-3/128,3/128,0,3/64,-3/64,-3/128,-3/128,3/64,-3/128,3/128,-3/32,3/64,3/64,-3/128,3/128,3/128,3/128,-3/64,3/64,0,-3/64,-3/32,-3/64,0,3/32,3/64],
[3/128,-3/128,-3/128,9/128,-3/64,-3/128,-3/128,3/64,-3/128,-9/128,3/32,3/64,-3/64,9/128,-3/128,-3/64,-3/128,27/128,-3/32,-3/64,-3/64,-3/128,3/128,3/128,-9/128,3/64,-3/64,0,3/64,0,-9/64,3/32,0,3/64],
[3/128,-3/128,-3/128,9/128,-3/64,9/128,-3/128,-3/64,-3/128,27/128,-3/32,-3/64,-3/64,-3/128,-3/128,3/64,-3/128,-9/128,3/32,3/64,-3/64,-3/128,3/128,3/128,-9/128,3/64,-3/64,0,3/64,0,-9/64,3/32,0,3/64],
[3/128,9/128,9/128,9/128,9/64,-3/128,-3/128,-3/64,-3/128,-9/128,-3/32,-3/64,-3/64,-3/128,-3/128,-3/64,-3/128,-9/128,-3/32,-3/64,-3/64,-3/128,-9/128,-9/128,-9/128,-9/64,3/64,3/32,3/64,3/32,9/64,3/32,3/16,3/64],
[3/128,-3/128,-3/128,9/128,-3/64,-3/128,-3/128,3/64,-3/128,-9/128,3/32,3/64,-3/64,-3/128,-3/128,3/64,-3/128,-9/128,3/32,3/64,-3/64,-3/128,3/128,3/128,-9/128,3/64,3/64,-3/32,3/64,-3/32,9/64,3/32,-3/16,3/64],
[3/128,-3/128,-3/128,-3/128,3/64,-3/128,-3/128,3/64,-3/128,3/128,-3/32,3/64,3/64,9/128,-3/128,-3/64,-3/128,-9/128,3/32,-3/64,3/64,-3/128,3/128,3/128,3/128,-3/64,-3/64,0,3/64,0,3/64,-3/32,0,3/64],
[3/128,-3/128,-3/128,-3/128,3/64,9/128,-3/128,-3/64,-3/128,-9/128,3/32,-3/64,3/64,-3/128,-3/128,3/64,-3/128,3/128,-3/32,3/64,3/64,-3/128,3/128,3/128,3/128,-3/64,-3/64,0,3/64,0,3/64,-3/32,0,3/64],
[3/128,-3/128,9/128,-3/128,-3/64,-3/128,-3/128,3/64,-3/128,3/128,0,-3/64,3/64,-3/128,-3/128,3/64,-3/128,3/128,0,-3/64,3/64,-3/128,3/128,-9/128,3/128,3/64,3/64,-3/32,3/64,3/32,-3/64,-3/32,0,3/64],
[3/128,9/128,-3/128,-3/128,-3/64,-3/128,-3/128,-3/64,-3/128,3/128,0,3/64,3/64,-3/128,-3/128,-3/64,-3/128,3/128,0,3/64,3/64,-3/128,-9/128,3/128,3/128,3/64,3/64,3/32,3/64,-3/32,-3/64,-3/32,0,3/64]
]):

# List of polynomial parametrizations

P0 := [
a0*b0*c0*d0*e0*f0*g0+3*a0*b0*c0*d0*e1*f1*g1+3*a0*b1*c1*d0*e0*f1*g1+3*a0*b1*c1*d0*e1*f0*g0+6*a0*b1*c1*d0*e1*f1*g1+3*a1*b0*c1*d1*e0*f0*g0+9*a1*b0*c1*d1*e1*f1*g1+3*a1*b1*c0*d1*e0*f1*g1+3*a1*b1*c0*d1*e1*f0*g0+6*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d1*e0*f1*g1+6*a1*b1*c1*d1*e1*f0*g0+12*a1*b1*c1*d1*e1*f1*g1,
3*a0*b0*c1*d0*e0*f1*g1+3*a0*b0*c1*d0*e1*f0*g0+6*a0*b0*c1*d0*e1*f1*g1+3*a0*b1*c0*d0*e0*f0*g0+9*a0*b1*c0*d0*e1*f1*g1+6*a0*b1*c1*d0*e0*f1*g1+6*a0*b1*c1*d0*e1*f0*g0+12*a0*b1*c1*d0*e1*f1*g1+3*a1*b0*c0*d1*e0*f1*g1+3*a1*b0*c0*d1*e1*f0*g0+6*a1*b0*c0*d1*e1*f1*g1+6*a1*b0*c1*d1*e0*f1*g1+6*a1*b0*c1*d1*e1*f0*g0+12*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g0+12*a1*b1*c0*d1*e1*f1*g1+9*a1*b1*c1*d1*e0*f0*g0+12*a1*b1*c1*d1*e0*f1*g1+12*a1*b1*c1*d1*e1*f0*g0+51*a1*b1*c1*d1*e1*f1*g1,
3*a0*b0*c0*d0*e0*f1*g0+3*a0*b0*c0*d0*e1*f0*g1+6*a0*b0*c0*d0*e1*f1*g1+3*a0*b1*c1*d0*e0*f0*g1+6*a0*b1*c1*d0*e0*f1*g1+6*a0*b1*c1*d0*e1*f0*g1+9*a0*b1*c1*d0*e1*f1*g0+12*a0*b1*c1*d0*e1*f1*g1+9*a1*b0*c1*d1*e0*f1*g0+9*a1*b0*c1*d1*e1*f0*g1+18*a1*b0*c1*d1*e1*f1*g1+3*a1*b1*c0*d1*e0*f0*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g1+9*a1*b1*c0*d1*e1*f1*g0+12*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d1*e0*f0*g1+12*a1*b1*c1*d1*e0*f1*g1+12*a1*b1*c1*d1*e1*f0*g1+18*a1*b1*c1*d1*e1*f1*g0+24*a1*b1*c1*d1*e1*f1*g1,
3*a0*b0*c1*d0*e0*f0*g1+3*a0*b0*c1*d0*e1*f1*g0+6*a0*b0*c1*d0*e1*f1*g1+3*a0*b1*c0*d0*e0*f1*g0+3*a0*b1*c0*d0*e1*f0*g1+6*a0*b1*c0*d0*e1*f1*g1+6*a0*b1*c1*d0*e0*f1*g1+6*a0*b1*c1*d0*e1*f0*g1+6*a0*b1*c1*d0*e1*f1*g0+6*a0*b1*c1*d0*e1*f1*g1+3*a1*b0*c0*d1*e0*f0*g1+3*a1*b0*c0*d1*e1*f1*g0+6*a1*b0*c0*d1*e1*f1*g1+6*a1*b0*c1*d1*e0*f0*g1+6*a1*b0*c1*d1*e1*f1*g0+12*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+6*a1*b1*c0*d1*e1*f1*g1+9*a1*b1*c1*d1*e0*f1*g0+12*a1*b1*c1*d1*e0*f1*g1+21*a1*b1*c1*d1*e1*f0*g1+12*a1*b1*c1*d1*e1*f1*g0+30*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d0*e0*f1*g1+6*a0*b0*c1*d0*e1*f0*g1+6*a0*b0*c1*d0*e1*f1*g0+6*a0*b0*c1*d0*e1*f1*g1+6*a0*b1*c0*d0*e0*f1*g0+6*a0*b1*c0*d0*e1*f0*g1+12*a0*b1*c0*d0*e1*f1*g1+6*a0*b1*c1*d0*e0*f0*g1+6*a0*b1*c1*d0*e0*f1*g1+6*a0*b1*c1*d0*e1*f0*g1+12*a0*b1*c1*d0*e1*f1*g0+18*a0*b1*c1*d0*e1*f1*g1+6*a1*b0*c0*d1*e0*f1*g1+6*a1*b0*c0*d1*e1*f0*g1+6*a1*b0*c0*d1*e1*f1*g0+6*a1*b0*c0*d1*e1*f1*g1+12*a1*b0*c1*d1*e0*f1*g1+12*a1*b0*c1*d1*e1*f0*g1+12*a1*b0*c1*d1*e1*f1*g0+12*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d1*e0*f0*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g1+12*a1*b1*c0*d1*e1*f1*g0+18*a1*b1*c0*d1*e1*f1*g1+12*a1*b1*c1*d1*e0*f0*g1+18*a1*b1*c1*d1*e0*f1*g0+12*a1*b1*c1*d1*e0*f1*g1+30*a1*b1*c1*d1*e1*f0*g1+24*a1*b1*c1*d1*e1*f1*g0+72*a1*b1*c1*d1*e1*f1*g1,
3*a0*b0*c0*d0*e0*f0*g1+3*a0*b0*c0*d0*e1*f1*g0+6*a0*b0*c0*d0*e1*f1*g1+3*a0*b1*c1*d0*e0*f1*g0+6*a0*b1*c1*d0*e0*f1*g1+9*a0*b1*c1*d0*e1*f0*g1+6*a0*b1*c1*d0*e1*f1*g0+12*a0*b1*c1*d0*e1*f1*g1+9*a1*b0*c1*d1*e0*f0*g1+9*a1*b0*c1*d1*e1*f1*g0+18*a1*b0*c1*d1*e1*f1*g1+3*a1*b1*c0*d1*e0*f1*g0+6*a1*b1*c0*d1*e0*f1*g1+9*a1*b1*c0*d1*e1*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+12*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d1*e0*f1*g0+12*a1*b1*c1*d1*e0*f1*g1+18*a1*b1*c1*d1*e1*f0*g1+12*a1*b1*c1*d1*e1*f1*g0+24*a1*b1*c1*d1*e1*f1*g1,
3*a0*b0*c1*d0*e0*f1*g0+3*a0*b0*c1*d0*e1*f0*g1+6*a0*b0*c1*d0*e1*f1*g1+3*a0*b1*c0*d0*e0*f0*g1+3*a0*b1*c0*d0*e1*f1*g0+6*a0*b1*c0*d0*e1*f1*g1+6*a0*b1*c1*d0*e0*f1*g1+6*a0*b1*c1*d0*e1*f0*g1+6*a0*b1*c1*d0*e1*f1*g0+6*a0*b1*c1*d0*e1*f1*g1+3*a1*b0*c0*d1*e0*f1*g0+3*a1*b0*c0*d1*e1*f0*g1+6*a1*b0*c0*d1*e1*f1*g1+6*a1*b0*c1*d1*e0*f1*g0+6*a1*b0*c1*d1*e1*f0*g1+12*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+6*a1*b1*c0*d1*e1*f1*g1+9*a1*b1*c1*d1*e0*f0*g1+12*a1*b1*c1*d1*e0*f1*g1+12*a1*b1*c1*d1*e1*f0*g1+21*a1*b1*c1*d1*e1*f1*g0+30*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d0*e0*f1*g1+6*a0*b0*c1*d0*e1*f0*g1+6*a0*b0*c1*d0*e1*f1*g0+6*a0*b0*c1*d0*e1*f1*g1+6*a0*b1*c0*d0*e0*f0*g1+6*a0*b1*c0*d0*e1*f1*g0+12*a0*b1*c0*d0*e1*f1*g1+6*a0*b1*c1*d0*e0*f1*g0+6*a0*b1*c1*d0*e0*f1*g1+12*a0*b1*c1*d0*e1*f0*g1+6*a0*b1*c1*d0*e1*f1*g0+18*a0*b1*c1*d0*e1*f1*g1+6*a1*b0*c0*d1*e0*f1*g1+6*a1*b0*c0*d1*e1*f0*g1+6*a1*b0*c0*d1*e1*f1*g0+6*a1*b0*c0*d1*e1*f1*g1+12*a1*b0*c1*d1*e0*f1*g1+12*a1*b0*c1*d1*e1*f0*g1+12*a1*b0*c1*d1*e1*f1*g0+12*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g0+6*a1*b1*c0*d1*e0*f1*g1+12*a1*b1*c0*d1*e1*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+18*a1*b1*c0*d1*e1*f1*g1+18*a1*b1*c1*d1*e0*f0*g1+12*a1*b1*c1*d1*e0*f1*g0+12*a1*b1*c1*d1*e0*f1*g1+24*a1*b1*c1*d1*e1*f0*g1+30*a1*b1*c1*d1*e1*f1*g0+72*a1*b1*c1*d1*e1*f1*g1,
3*a0*b0*c0*d0*e0*f1*g1+3*a0*b0*c0*d0*e1*f0*g0+6*a0*b0*c0*d0*e1*f1*g1+3*a0*b1*c1*d0*e0*f0*g0+6*a0*b1*c1*d0*e0*f1*g1+6*a0*b1*c1*d0*e1*f0*g0+21*a0*b1*c1*d0*e1*f1*g1+9*a1*b0*c1*d1*e0*f1*g1+9*a1*b0*c1*d1*e1*f0*g0+18*a1*b0*c1*d1*e1*f1*g1+3*a1*b1*c0*d1*e0*f0*g0+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g0+21*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d1*e0*f0*g0+12*a1*b1*c1*d1*e0*f1*g1+12*a1*b1*c1*d1*e1*f0*g0+42*a1*b1*c1*d1*e1*f1*g1,
3*a0*b0*c1*d0*e0*f0*g0+9*a0*b0*c1*d0*e1*f1*g1+3*a0*b1*c0*d0*e0*f1*g1+3*a0*b1*c0*d0*e1*f0*g0+6*a0*b1*c0*d0*e1*f1*g1+6*a0*b1*c1*d0*e0*f1*g1+6*a0*b1*c1*d0*e1*f0*g0+12*a0*b1*c1*d0*e1*f1*g1+3*a1*b0*c0*d1*e0*f0*g0+9*a1*b0*c0*d1*e1*f1*g1+6*a1*b0*c1*d1*e0*f0*g0+18*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g0+12*a1*b1*c0*d1*e1*f1*g1+21*a1*b1*c1*d1*e0*f1*g1+21*a1*b1*c1*d1*e1*f0*g0+42*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d0*e0*f1*g1+6*a0*b0*c1*d0*e1*f0*g0+12*a0*b0*c1*d0*e1*f1*g1+6*a0*b1*c0*d0*e0*f1*g1+6*a0*b1*c0*d0*e1*f0*g0+12*a0*b1*c0*d0*e1*f1*g1+6*a0*b1*c1*d0*e0*f0*g0+6*a0*b1*c1*d0*e0*f1*g1+6*a0*b1*c1*d0*e1*f0*g0+30*a0*b1*c1*d0*e1*f1*g1+6*a1*b0*c0*d1*e0*f1*g1+6*a1*b0*c0*d1*e1*f0*g0+12*a1*b0*c0*d1*e1*f1*g1+12*a1*b0*c1*d1*e0*f1*g1+12*a1*b0*c1*d1*e1*f0*g0+24*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d1*e0*f0*g0+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g0+30*a1*b1*c0*d1*e1*f1*g1+12*a1*b1*c1*d1*e0*f0*g0+30*a1*b1*c1*d1*e0*f1*g1+30*a1*b1*c1*d1*e1*f0*g0+96*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c0*d0*e0*f1*g1+6*a0*b0*c0*d0*e1*f0*g1+6*a0*b0*c0*d0*e1*f1*g0+6*a0*b0*c0*d0*e1*f1*g1+6*a0*b1*c1*d0*e0*f0*g1+6*a0*b1*c1*d0*e0*f1*g0+6*a0*b1*c1*d0*e0*f1*g1+12*a0*b1*c1*d0*e1*f0*g1+12*a0*b1*c1*d0*e1*f1*g0+30*a0*b1*c1*d0*e1*f1*g1+18*a1*b0*c1*d1*e0*f1*g1+18*a1*b0*c1*d1*e1*f0*g1+18*a1*b0*c1*d1*e1*f1*g0+18*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d1*e0*f0*g1+6*a1*b1*c0*d1*e0*f1*g0+6*a1*b1*c0*d1*e0*f1*g1+12*a1*b1*c0*d1*e1*f0*g1+12*a1*b1*c0*d1*e1*f1*g0+30*a1*b1*c0*d1*e1*f1*g1+12*a1*b1*c1*d1*e0*f0*g1+12*a1*b1*c1*d1*e0*f1*g0+12*a1*b1*c1*d1*e0*f1*g1+24*a1*b1*c1*d1*e1*f0*g1+24*a1*b1*c1*d1*e1*f1*g0+60*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d0*e0*f1*g0+6*a0*b0*c1*d0*e1*f0*g1+12*a0*b0*c1*d0*e1*f1*g1+6*a0*b1*c0*d0*e0*f1*g1+6*a0*b1*c0*d0*e1*f0*g1+6*a0*b1*c0*d0*e1*f1*g0+6*a0*b1*c0*d0*e1*f1*g1+6*a0*b1*c1*d0*e0*f0*g1+6*a0*b1*c1*d0*e0*f1*g1+6*a0*b1*c1*d0*e1*f0*g1+12*a0*b1*c1*d0*e1*f1*g0+18*a0*b1*c1*d0*e1*f1*g1+6*a1*b0*c0*d1*e0*f1*g0+6*a1*b0*c0*d1*e1*f0*g1+12*a1*b0*c0*d1*e1*f1*g1+12*a1*b0*c1*d1*e0*f1*g0+12*a1*b0*c1*d1*e1*f0*g1+24*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d1*e0*f0*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g1+12*a1*b1*c0*d1*e1*f1*g0+18*a1*b1*c0*d1*e1*f1*g1+12*a1*b1*c1*d1*e0*f0*g1+30*a1*b1*c1*d1*e0*f1*g1+30*a1*b1*c1*d1*e1*f0*g1+42*a1*b1*c1*d1*e1*f1*g0+54*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d0*e0*f0*g1+6*a0*b0*c1*d0*e1*f1*g0+12*a0*b0*c1*d0*e1*f1*g1+6*a0*b1*c0*d0*e0*f1*g1+6*a0*b1*c0*d0*e1*f0*g1+6*a0*b1*c0*d0*e1*f1*g0+6*a0*b1*c0*d0*e1*f1*g1+6*a0*b1*c1*d0*e0*f1*g0+6*a0*b1*c1*d0*e0*f1*g1+12*a0*b1*c1*d0*e1*f0*g1+6*a0*b1*c1*d0*e1*f1*g0+18*a0*b1*c1*d0*e1*f1*g1+6*a1*b0*c0*d1*e0*f0*g1+6*a1*b0*c0*d1*e1*f1*g0+12*a1*b0*c0*d1*e1*f1*g1+12*a1*b0*c1*d1*e0*f0*g1+12*a1*b0*c1*d1*e1*f1*g0+24*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g0+6*a1*b1*c0*d1*e0*f1*g1+12*a1*b1*c0*d1*e1*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+18*a1*b1*c0*d1*e1*f1*g1+12*a1*b1*c1*d1*e0*f1*g0+30*a1*b1*c1*d1*e0*f1*g1+42*a1*b1*c1*d1*e1*f0*g1+30*a1*b1*c1*d1*e1*f1*g0+54*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d0*e0*f1*g1+6*a0*b0*c1*d0*e1*f0*g1+6*a0*b0*c1*d0*e1*f1*g0+6*a0*b0*c1*d0*e1*f1*g1+6*a0*b1*c0*d0*e0*f1*g1+6*a0*b1*c0*d0*e1*f0*g1+6*a0*b1*c0*d0*e1*f1*g0+6*a0*b1*c0*d0*e1*f1*g1+6*a0*b1*c1*d0*e0*f0*g1+6*a0*b1*c1*d0*e0*f1*g0+6*a0*b1*c1*d0*e1*f0*g1+6*a0*b1*c1*d0*e1*f1*g0+24*a0*b1*c1*d0*e1*f1*g1+6*a1*b0*c0*d1*e0*f1*g1+6*a1*b0*c0*d1*e1*f0*g1+6*a1*b0*c0*d1*e1*f1*g0+6*a1*b0*c0*d1*e1*f1*g1+12*a1*b0*c1*d1*e0*f1*g1+12*a1*b0*c1*d1*e1*f0*g1+12*a1*b0*c1*d1*e1*f1*g0+12*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d1*e0*f0*g1+6*a1*b1*c0*d1*e0*f1*g0+6*a1*b1*c0*d1*e1*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+24*a1*b1*c0*d1*e1*f1*g1+12*a1*b1*c1*d1*e0*f0*g1+12*a1*b1*c1*d1*e0*f1*g0+18*a1*b1*c1*d1*e0*f1*g1+30*a1*b1*c1*d1*e1*f0*g1+30*a1*b1*c1*d1*e1*f1*g0+66*a1*b1*c1*d1*e1*f1*g1,
3*a0*b0*c0*d1*e0*f0*g0+9*a0*b0*c0*d1*e1*f1*g1+9*a0*b1*c1*d1*e0*f1*g1+9*a0*b1*c1*d1*e1*f0*g0+18*a0*b1*c1*d1*e1*f1*g1+3*a1*b0*c1*d0*e0*f0*g0+9*a1*b0*c1*d0*e1*f1*g1+6*a1*b0*c1*d1*e0*f0*g0+18*a1*b0*c1*d1*e1*f1*g1+3*a1*b1*c0*d0*e0*f1*g1+3*a1*b1*c0*d0*e1*f0*g0+6*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g0+12*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f1*g1+6*a1*b1*c1*d0*e1*f0*g0+12*a1*b1*c1*d0*e1*f1*g1+12*a1*b1*c1*d1*e0*f1*g1+12*a1*b1*c1*d1*e1*f0*g0+24*a1*b1*c1*d1*e1*f1*g1,
3*a0*b0*c1*d1*e0*f1*g1+3*a0*b0*c1*d1*e1*f0*g0+6*a0*b0*c1*d1*e1*f1*g1+3*a0*b1*c0*d1*e0*f0*g0+9*a0*b1*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f1*g1+6*a0*b1*c1*d1*e1*f0*g0+12*a0*b1*c1*d1*e1*f1*g1+3*a1*b0*c0*d0*e0*f1*g1+3*a1*b0*c0*d0*e1*f0*g0+6*a1*b0*c0*d0*e1*f1*g1+6*a1*b0*c1*d1*e0*f1*g1+6*a1*b0*c1*d1*e1*f0*g0+12*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g0+12*a1*b1*c0*d1*e1*f1*g1+3*a1*b1*c1*d0*e0*f0*g0+6*a1*b1*c1*d0*e0*f1*g1+6*a1*b1*c1*d0*e1*f0*g0+21*a1*b1*c1*d0*e1*f1*g1+6*a1*b1*c1*d1*e0*f0*g0+6*a1*b1*c1*d1*e0*f1*g1+6*a1*b1*c1*d1*e1*f0*g0+30*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d1*e0*f1*g1+6*a0*b0*c1*d1*e1*f0*g0+12*a0*b0*c1*d1*e1*f1*g1+6*a0*b1*c0*d1*e0*f0*g0+18*a0*b1*c0*d1*e1*f1*g1+12*a0*b1*c1*d1*e0*f1*g1+12*a0*b1*c1*d1*e1*f0*g0+24*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c0*d1*e0*f1*g1+6*a1*b0*c0*d1*e1*f0*g0+12*a1*b0*c0*d1*e1*f1*g1+6*a1*b0*c1*d0*e0*f1*g1+6*a1*b0*c1*d0*e1*f0*g0+12*a1*b0*c1*d0*e1*f1*g1+6*a1*b0*c1*d1*e0*f1*g1+6*a1*b0*c1*d1*e1*f0*g0+12*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d0*e0*f1*g1+6*a1*b1*c0*d0*e1*f0*g0+12*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g0+12*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f0*g0+6*a1*b1*c1*d0*e0*f1*g1+6*a1*b1*c1*d0*e1*f0*g0+30*a1*b1*c1*d0*e1*f1*g1+12*a1*b1*c1*d1*e0*f0*g0+18*a1*b1*c1*d1*e0*f1*g1+18*a1*b1*c1*d1*e1*f0*g0+72*a1*b1*c1*d1*e1*f1*g1,
3*a0*b0*c0*d1*e0*f1*g0+3*a0*b0*c0*d1*e1*f0*g1+6*a0*b0*c0*d1*e1*f1*g1+3*a0*b1*c1*d1*e0*f0*g1+6*a0*b1*c1*d1*e0*f1*g1+6*a0*b1*c1*d1*e1*f0*g1+9*a0*b1*c1*d1*e1*f1*g0+12*a0*b1*c1*d1*e1*f1*g1+3*a1*b0*c1*d0*e0*f1*g0+3*a1*b0*c1*d0*e1*f0*g1+6*a1*b0*c1*d0*e1*f1*g1+6*a1*b0*c1*d1*e0*f1*g0+6*a1*b0*c1*d1*e1*f0*g1+12*a1*b0*c1*d1*e1*f1*g1+3*a1*b1*c0*d0*e0*f0*g1+3*a1*b1*c0*d0*e1*f1*g0+6*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+6*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f1*g1+6*a1*b1*c1*d0*e1*f0*g1+6*a1*b1*c1*d0*e1*f1*g0+6*a1*b1*c1*d0*e1*f1*g1+6*a1*b1*c1*d1*e0*f0*g1+6*a1*b1*c1*d1*e0*f1*g1+6*a1*b1*c1*d1*e1*f0*g1+12*a1*b1*c1*d1*e1*f1*g0+18*a1*b1*c1*d1*e1*f1*g1,
3*a0*b0*c1*d1*e0*f0*g1+3*a0*b0*c1*d1*e1*f1*g0+6*a0*b0*c1*d1*e1*f1*g1+3*a0*b1*c0*d1*e0*f1*g0+3*a0*b1*c0*d1*e1*f0*g1+6*a0*b1*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f1*g1+6*a0*b1*c1*d1*e1*f0*g1+6*a0*b1*c1*d1*e1*f1*g0+6*a0*b1*c1*d1*e1*f1*g1+3*a1*b0*c0*d0*e0*f0*g1+3*a1*b0*c0*d0*e1*f1*g0+6*a1*b0*c0*d0*e1*f1*g1+6*a1*b0*c1*d1*e0*f0*g1+6*a1*b0*c1*d1*e1*f1*g0+12*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+6*a1*b1*c0*d1*e1*f1*g1+3*a1*b1*c1*d0*e0*f1*g0+6*a1*b1*c1*d0*e0*f1*g1+9*a1*b1*c1*d0*e1*f0*g1+6*a1*b1*c1*d0*e1*f1*g0+12*a1*b1*c1*d0*e1*f1*g1+6*a1*b1*c1*d1*e0*f1*g0+6*a1*b1*c1*d1*e0*f1*g1+12*a1*b1*c1*d1*e1*f0*g1+6*a1*b1*c1*d1*e1*f1*g0+18*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d1*e0*f1*g1+6*a0*b0*c1*d1*e1*f0*g1+6*a0*b0*c1*d1*e1*f1*g0+6*a0*b0*c1*d1*e1*f1*g1+6*a0*b1*c0*d1*e0*f1*g0+6*a0*b1*c0*d1*e1*f0*g1+12*a0*b1*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f0*g1+6*a0*b1*c1*d1*e0*f1*g1+6*a0*b1*c1*d1*e1*f0*g1+12*a0*b1*c1*d1*e1*f1*g0+18*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c0*d1*e0*f1*g1+6*a1*b0*c0*d1*e1*f0*g1+6*a1*b0*c0*d1*e1*f1*g0+6*a1*b0*c0*d1*e1*f1*g1+6*a1*b0*c1*d0*e0*f1*g1+6*a1*b0*c1*d0*e1*f0*g1+6*a1*b0*c1*d0*e1*f1*g0+6*a1*b0*c1*d0*e1*f1*g1+6*a1*b0*c1*d1*e0*f1*g1+6*a1*b0*c1*d1*e1*f0*g1+6*a1*b0*c1*d1*e1*f1*g0+6*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d0*e0*f0*g1+6*a1*b1*c0*d0*e1*f1*g0+12*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+6*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f1*g0+6*a1*b1*c1*d0*e0*f1*g1+12*a1*b1*c1*d0*e1*f0*g1+6*a1*b1*c1*d0*e1*f1*g0+18*a1*b1*c1*d0*e1*f1*g1+12*a1*b1*c1*d1*e0*f0*g1+12*a1*b1*c1*d1*e0*f1*g0+6*a1*b1*c1*d1*e0*f1*g1+18*a1*b1*c1*d1*e1*f0*g1+18*a1*b1*c1*d1*e1*f1*g0+54*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c0*d1*e0*f1*g0+6*a0*b0*c0*d1*e1*f0*g1+12*a0*b0*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f0*g1+12*a0*b1*c1*d1*e0*f1*g1+12*a0*b1*c1*d1*e1*f0*g1+18*a0*b1*c1*d1*e1*f1*g0+24*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c1*d0*e0*f1*g0+6*a1*b0*c1*d0*e1*f0*g1+12*a1*b0*c1*d0*e1*f1*g1+12*a1*b0*c1*d1*e0*f1*g0+12*a1*b0*c1*d1*e1*f0*g1+24*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d0*e0*f1*g1+6*a1*b1*c0*d0*e1*f0*g1+6*a1*b1*c0*d0*e1*f1*g0+6*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f0*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g1+12*a1*b1*c0*d1*e1*f1*g0+18*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f0*g1+6*a1*b1*c1*d0*e0*f1*g1+6*a1*b1*c1*d0*e1*f0*g1+12*a1*b1*c1*d0*e1*f1*g0+18*a1*b1*c1*d0*e1*f1*g1+6*a1*b1*c1*d1*e0*f0*g1+18*a1*b1*c1*d1*e0*f1*g1+18*a1*b1*c1*d1*e1*f0*g1+24*a1*b1*c1*d1*e1*f1*g0+30*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d1*e0*f1*g1+6*a0*b0*c1*d1*e1*f0*g1+6*a0*b0*c1*d1*e1*f1*g0+6*a0*b0*c1*d1*e1*f1*g1+6*a0*b1*c0*d1*e0*f1*g0+6*a0*b1*c0*d1*e1*f0*g1+12*a0*b1*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f0*g1+6*a0*b1*c1*d1*e0*f1*g1+6*a0*b1*c1*d1*e1*f0*g1+12*a0*b1*c1*d1*e1*f1*g0+18*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c0*d0*e0*f1*g1+6*a1*b0*c0*d0*e1*f0*g1+6*a1*b0*c0*d0*e1*f1*g0+6*a1*b0*c0*d0*e1*f1*g1+12*a1*b0*c1*d1*e0*f1*g1+12*a1*b0*c1*d1*e1*f0*g1+12*a1*b0*c1*d1*e1*f1*g0+12*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d1*e0*f0*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g1+12*a1*b1*c0*d1*e1*f1*g0+18*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f0*g1+6*a1*b1*c1*d0*e0*f1*g0+6*a1*b1*c1*d0*e0*f1*g1+12*a1*b1*c1*d0*e1*f0*g1+12*a1*b1*c1*d0*e1*f1*g0+30*a1*b1*c1*d0*e1*f1*g1+6*a1*b1*c1*d1*e0*f0*g1+12*a1*b1*c1*d1*e0*f1*g0+6*a1*b1*c1*d1*e0*f1*g1+18*a1*b1*c1*d1*e1*f0*g1+12*a1*b1*c1*d1*e1*f1*g0+42*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d1*e0*f0*g1+6*a0*b0*c1*d1*e1*f1*g0+12*a0*b0*c1*d1*e1*f1*g1+6*a0*b1*c0*d1*e0*f1*g0+6*a0*b1*c0*d1*e1*f0*g1+12*a0*b1*c0*d1*e1*f1*g1+12*a0*b1*c1*d1*e0*f1*g1+12*a0*b1*c1*d1*e1*f0*g1+12*a0*b1*c1*d1*e1*f1*g0+12*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c0*d1*e0*f0*g1+6*a1*b0*c0*d1*e1*f1*g0+12*a1*b0*c0*d1*e1*f1*g1+6*a1*b0*c1*d0*e0*f0*g1+6*a1*b0*c1*d0*e1*f1*g0+12*a1*b0*c1*d0*e1*f1*g1+6*a1*b0*c1*d1*e0*f0*g1+6*a1*b0*c1*d1*e1*f1*g0+12*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d0*e0*f1*g1+6*a1*b1*c0*d0*e1*f0*g1+6*a1*b1*c0*d0*e1*f1*g0+6*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+6*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f1*g0+6*a1*b1*c1*d0*e0*f1*g1+12*a1*b1*c1*d0*e1*f0*g1+6*a1*b1*c1*d0*e1*f1*g0+18*a1*b1*c1*d0*e1*f1*g1+12*a1*b1*c1*d1*e0*f1*g0+18*a1*b1*c1*d1*e0*f1*g1+30*a1*b1*c1*d1*e1*f0*g1+18*a1*b1*c1*d1*e1*f1*g0+42*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d1*e0*f1*g1+6*a0*b0*c1*d1*e1*f0*g1+6*a0*b0*c1*d1*e1*f1*g0+6*a0*b0*c1*d1*e1*f1*g1+6*a0*b1*c0*d1*e0*f1*g0+6*a0*b1*c0*d1*e1*f0*g1+12*a0*b1*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f0*g1+6*a0*b1*c1*d1*e0*f1*g1+6*a0*b1*c1*d1*e1*f0*g1+12*a0*b1*c1*d1*e1*f1*g0+18*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c0*d1*e0*f1*g1+6*a1*b0*c0*d1*e1*f0*g1+6*a1*b0*c0*d1*e1*f1*g0+6*a1*b0*c0*d1*e1*f1*g1+6*a1*b0*c1*d0*e0*f1*g1+6*a1*b0*c1*d0*e1*f0*g1+6*a1*b0*c1*d0*e1*f1*g0+6*a1*b0*c1*d0*e1*f1*g1+6*a1*b0*c1*d1*e0*f1*g1+6*a1*b0*c1*d1*e1*f0*g1+6*a1*b0*c1*d1*e1*f1*g0+6*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d0*e0*f1*g1+6*a1*b1*c0*d0*e1*f0*g1+6*a1*b1*c0*d0*e1*f1*g0+6*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+12*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f0*g1+6*a1*b1*c1*d0*e0*f1*g0+6*a1*b1*c1*d0*e1*f0*g1+6*a1*b1*c1*d0*e1*f1*g0+24*a1*b1*c1*d0*e1*f1*g1+6*a1*b1*c1*d1*e0*f0*g1+12*a1*b1*c1*d1*e0*f1*g0+12*a1*b1*c1*d1*e0*f1*g1+24*a1*b1*c1*d1*e1*f0*g1+18*a1*b1*c1*d1*e1*f1*g0+48*a1*b1*c1*d1*e1*f1*g1,
3*a0*b0*c0*d1*e0*f0*g1+3*a0*b0*c0*d1*e1*f1*g0+6*a0*b0*c0*d1*e1*f1*g1+3*a0*b1*c1*d1*e0*f1*g0+6*a0*b1*c1*d1*e0*f1*g1+9*a0*b1*c1*d1*e1*f0*g1+6*a0*b1*c1*d1*e1*f1*g0+12*a0*b1*c1*d1*e1*f1*g1+3*a1*b0*c1*d0*e0*f0*g1+3*a1*b0*c1*d0*e1*f1*g0+6*a1*b0*c1*d0*e1*f1*g1+6*a1*b0*c1*d1*e0*f0*g1+6*a1*b0*c1*d1*e1*f1*g0+12*a1*b0*c1*d1*e1*f1*g1+3*a1*b1*c0*d0*e0*f1*g0+3*a1*b1*c0*d0*e1*f0*g1+6*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+6*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f1*g1+6*a1*b1*c1*d0*e1*f0*g1+6*a1*b1*c1*d0*e1*f1*g0+6*a1*b1*c1*d0*e1*f1*g1+6*a1*b1*c1*d1*e0*f1*g0+6*a1*b1*c1*d1*e0*f1*g1+12*a1*b1*c1*d1*e1*f0*g1+6*a1*b1*c1*d1*e1*f1*g0+18*a1*b1*c1*d1*e1*f1*g1,
3*a0*b0*c1*d1*e0*f1*g0+3*a0*b0*c1*d1*e1*f0*g1+6*a0*b0*c1*d1*e1*f1*g1+3*a0*b1*c0*d1*e0*f0*g1+3*a0*b1*c0*d1*e1*f1*g0+6*a0*b1*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f1*g1+6*a0*b1*c1*d1*e1*f0*g1+6*a0*b1*c1*d1*e1*f1*g0+6*a0*b1*c1*d1*e1*f1*g1+3*a1*b0*c0*d0*e0*f1*g0+3*a1*b0*c0*d0*e1*f0*g1+6*a1*b0*c0*d0*e1*f1*g1+6*a1*b0*c1*d1*e0*f1*g0+6*a1*b0*c1*d1*e1*f0*g1+12*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+6*a1*b1*c0*d1*e1*f1*g1+3*a1*b1*c1*d0*e0*f0*g1+6*a1*b1*c1*d0*e0*f1*g1+6*a1*b1*c1*d0*e1*f0*g1+9*a1*b1*c1*d0*e1*f1*g0+12*a1*b1*c1*d0*e1*f1*g1+6*a1*b1*c1*d1*e0*f0*g1+6*a1*b1*c1*d1*e0*f1*g1+6*a1*b1*c1*d1*e1*f0*g1+12*a1*b1*c1*d1*e1*f1*g0+18*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d1*e0*f1*g1+6*a0*b0*c1*d1*e1*f0*g1+6*a0*b0*c1*d1*e1*f1*g0+6*a0*b0*c1*d1*e1*f1*g1+6*a0*b1*c0*d1*e0*f0*g1+6*a0*b1*c0*d1*e1*f1*g0+12*a0*b1*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f1*g0+6*a0*b1*c1*d1*e0*f1*g1+12*a0*b1*c1*d1*e1*f0*g1+6*a0*b1*c1*d1*e1*f1*g0+18*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c0*d1*e0*f1*g1+6*a1*b0*c0*d1*e1*f0*g1+6*a1*b0*c0*d1*e1*f1*g0+6*a1*b0*c0*d1*e1*f1*g1+6*a1*b0*c1*d0*e0*f1*g1+6*a1*b0*c1*d0*e1*f0*g1+6*a1*b0*c1*d0*e1*f1*g0+6*a1*b0*c1*d0*e1*f1*g1+6*a1*b0*c1*d1*e0*f1*g1+6*a1*b0*c1*d1*e1*f0*g1+6*a1*b0*c1*d1*e1*f1*g0+6*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d0*e0*f1*g0+6*a1*b1*c0*d0*e1*f0*g1+12*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+6*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f0*g1+6*a1*b1*c1*d0*e0*f1*g1+6*a1*b1*c1*d0*e1*f0*g1+12*a1*b1*c1*d0*e1*f1*g0+18*a1*b1*c1*d0*e1*f1*g1+12*a1*b1*c1*d1*e0*f0*g1+12*a1*b1*c1*d1*e0*f1*g0+6*a1*b1*c1*d1*e0*f1*g1+18*a1*b1*c1*d1*e1*f0*g1+18*a1*b1*c1*d1*e1*f1*g0+54*a1*b1*c1*d1*e1*f1*g1,
3*a0*b0*c0*d1*e0*f1*g1+3*a0*b0*c0*d1*e1*f0*g0+6*a0*b0*c0*d1*e1*f1*g1+3*a0*b1*c1*d1*e0*f0*g0+6*a0*b1*c1*d1*e0*f1*g1+6*a0*b1*c1*d1*e1*f0*g0+21*a0*b1*c1*d1*e1*f1*g1+3*a1*b0*c1*d0*e0*f1*g1+3*a1*b0*c1*d0*e1*f0*g0+6*a1*b0*c1*d0*e1*f1*g1+6*a1*b0*c1*d1*e0*f1*g1+6*a1*b0*c1*d1*e1*f0*g0+12*a1*b0*c1*d1*e1*f1*g1+3*a1*b1*c0*d0*e0*f0*g0+9*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g0+12*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f1*g1+6*a1*b1*c1*d0*e1*f0*g0+12*a1*b1*c1*d0*e1*f1*g1+6*a1*b1*c1*d1*e0*f0*g0+6*a1*b1*c1*d1*e0*f1*g1+6*a1*b1*c1*d1*e1*f0*g0+30*a1*b1*c1*d1*e1*f1*g1,
3*a0*b0*c1*d1*e0*f0*g0+9*a0*b0*c1*d1*e1*f1*g1+3*a0*b1*c0*d1*e0*f1*g1+3*a0*b1*c0*d1*e1*f0*g0+6*a0*b1*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f1*g1+6*a0*b1*c1*d1*e1*f0*g0+12*a0*b1*c1*d1*e1*f1*g1+3*a1*b0*c0*d0*e0*f0*g0+9*a1*b0*c0*d0*e1*f1*g1+6*a1*b0*c1*d1*e0*f0*g0+18*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g0+12*a1*b1*c0*d1*e1*f1*g1+9*a1*b1*c1*d0*e0*f1*g1+9*a1*b1*c1*d0*e1*f0*g0+18*a1*b1*c1*d0*e1*f1*g1+12*a1*b1*c1*d1*e0*f1*g1+12*a1*b1*c1*d1*e1*f0*g0+24*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d1*e0*f1*g1+6*a0*b0*c1*d1*e1*f0*g0+12*a0*b0*c1*d1*e1*f1*g1+6*a0*b1*c0*d1*e0*f1*g1+6*a0*b1*c0*d1*e1*f0*g0+12*a0*b1*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f0*g0+6*a0*b1*c1*d1*e0*f1*g1+6*a0*b1*c1*d1*e1*f0*g0+30*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c0*d1*e0*f1*g1+6*a1*b0*c0*d1*e1*f0*g0+12*a1*b0*c0*d1*e1*f1*g1+6*a1*b0*c1*d0*e0*f1*g1+6*a1*b0*c1*d0*e1*f0*g0+12*a1*b0*c1*d0*e1*f1*g1+6*a1*b0*c1*d1*e0*f1*g1+6*a1*b0*c1*d1*e1*f0*g0+12*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d0*e0*f0*g0+18*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g0+12*a1*b1*c0*d1*e1*f1*g1+12*a1*b1*c1*d0*e0*f1*g1+12*a1*b1*c1*d0*e1*f0*g0+24*a1*b1*c1*d0*e1*f1*g1+12*a1*b1*c1*d1*e0*f0*g0+18*a1*b1*c1*d1*e0*f1*g1+18*a1*b1*c1*d1*e1*f0*g0+72*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c0*d1*e0*f1*g1+6*a0*b0*c0*d1*e1*f0*g1+6*a0*b0*c0*d1*e1*f1*g0+6*a0*b0*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f0*g1+6*a0*b1*c1*d1*e0*f1*g0+6*a0*b1*c1*d1*e0*f1*g1+12*a0*b1*c1*d1*e1*f0*g1+12*a0*b1*c1*d1*e1*f1*g0+30*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c1*d0*e0*f1*g1+6*a1*b0*c1*d0*e1*f0*g1+6*a1*b0*c1*d0*e1*f1*g0+6*a1*b0*c1*d0*e1*f1*g1+12*a1*b0*c1*d1*e0*f1*g1+12*a1*b0*c1*d1*e1*f0*g1+12*a1*b0*c1*d1*e1*f1*g0+12*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d0*e0*f1*g0+6*a1*b1*c0*d0*e1*f0*g1+12*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f0*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g1+12*a1*b1*c0*d1*e1*f1*g0+18*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f0*g1+6*a1*b1*c1*d0*e0*f1*g1+6*a1*b1*c1*d0*e1*f0*g1+12*a1*b1*c1*d0*e1*f1*g0+18*a1*b1*c1*d0*e1*f1*g1+6*a1*b1*c1*d1*e0*f0*g1+12*a1*b1*c1*d1*e0*f1*g0+6*a1*b1*c1*d1*e0*f1*g1+18*a1*b1*c1*d1*e1*f0*g1+12*a1*b1*c1*d1*e1*f1*g0+42*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d1*e0*f1*g0+6*a0*b0*c1*d1*e1*f0*g1+12*a0*b0*c1*d1*e1*f1*g1+6*a0*b1*c0*d1*e0*f1*g1+6*a0*b1*c0*d1*e1*f0*g1+6*a0*b1*c0*d1*e1*f1*g0+6*a0*b1*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f0*g1+6*a0*b1*c1*d1*e0*f1*g1+6*a0*b1*c1*d1*e1*f0*g1+12*a0*b1*c1*d1*e1*f1*g0+18*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c0*d0*e0*f1*g0+6*a1*b0*c0*d0*e1*f0*g1+12*a1*b0*c0*d0*e1*f1*g1+12*a1*b0*c1*d1*e0*f1*g0+12*a1*b0*c1*d1*e1*f0*g1+24*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d1*e0*f0*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g1+12*a1*b1*c0*d1*e1*f1*g0+18*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f0*g1+12*a1*b1*c1*d0*e0*f1*g1+12*a1*b1*c1*d0*e1*f0*g1+18*a1*b1*c1*d0*e1*f1*g0+24*a1*b1*c1*d0*e1*f1*g1+6*a1*b1*c1*d1*e0*f0*g1+18*a1*b1*c1*d1*e0*f1*g1+18*a1*b1*c1*d1*e1*f0*g1+24*a1*b1*c1*d1*e1*f1*g0+30*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d1*e0*f0*g1+6*a0*b0*c1*d1*e1*f1*g0+12*a0*b0*c1*d1*e1*f1*g1+6*a0*b1*c0*d1*e0*f1*g1+6*a0*b1*c0*d1*e1*f0*g1+6*a0*b1*c0*d1*e1*f1*g0+6*a0*b1*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f1*g0+6*a0*b1*c1*d1*e0*f1*g1+12*a0*b1*c1*d1*e1*f0*g1+6*a0*b1*c1*d1*e1*f1*g0+18*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c0*d1*e0*f0*g1+6*a1*b0*c0*d1*e1*f1*g0+12*a1*b0*c0*d1*e1*f1*g1+6*a1*b0*c1*d0*e0*f0*g1+6*a1*b0*c1*d0*e1*f1*g0+12*a1*b0*c1*d0*e1*f1*g1+6*a1*b0*c1*d1*e0*f0*g1+6*a1*b0*c1*d1*e1*f1*g0+12*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d0*e0*f1*g0+6*a1*b1*c0*d0*e1*f0*g1+12*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+6*a1*b1*c0*d1*e1*f1*g1+12*a1*b1*c1*d0*e0*f1*g1+12*a1*b1*c1*d0*e1*f0*g1+12*a1*b1*c1*d0*e1*f1*g0+12*a1*b1*c1*d0*e1*f1*g1+12*a1*b1*c1*d1*e0*f1*g0+18*a1*b1*c1*d1*e0*f1*g1+30*a1*b1*c1*d1*e1*f0*g1+18*a1*b1*c1*d1*e1*f1*g0+42*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d1*e0*f1*g1+6*a0*b0*c1*d1*e1*f0*g1+6*a0*b0*c1*d1*e1*f1*g0+6*a0*b0*c1*d1*e1*f1*g1+6*a0*b1*c0*d1*e0*f1*g1+6*a0*b1*c0*d1*e1*f0*g1+6*a0*b1*c0*d1*e1*f1*g0+6*a0*b1*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f0*g1+6*a0*b1*c1*d1*e0*f1*g0+6*a0*b1*c1*d1*e1*f0*g1+6*a0*b1*c1*d1*e1*f1*g0+24*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c0*d1*e0*f1*g1+6*a1*b0*c0*d1*e1*f0*g1+6*a1*b0*c0*d1*e1*f1*g0+6*a1*b0*c0*d1*e1*f1*g1+6*a1*b0*c1*d0*e0*f1*g1+6*a1*b0*c1*d0*e1*f0*g1+6*a1*b0*c1*d0*e1*f1*g0+6*a1*b0*c1*d0*e1*f1*g1+6*a1*b0*c1*d1*e0*f1*g1+6*a1*b0*c1*d1*e1*f0*g1+6*a1*b0*c1*d1*e1*f1*g0+6*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d0*e0*f1*g0+6*a1*b1*c0*d0*e1*f0*g1+12*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+12*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f0*g1+6*a1*b1*c1*d0*e0*f1*g1+6*a1*b1*c1*d0*e1*f0*g1+12*a1*b1*c1*d0*e1*f1*g0+18*a1*b1*c1*d0*e1*f1*g1+6*a1*b1*c1*d1*e0*f0*g1+12*a1*b1*c1*d1*e0*f1*g0+12*a1*b1*c1*d1*e0*f1*g1+24*a1*b1*c1*d1*e1*f0*g1+18*a1*b1*c1*d1*e1*f1*g0+48*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c0*d1*e0*f0*g1+6*a0*b0*c0*d1*e1*f1*g0+12*a0*b0*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f1*g0+12*a0*b1*c1*d1*e0*f1*g1+18*a0*b1*c1*d1*e1*f0*g1+12*a0*b1*c1*d1*e1*f1*g0+24*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c1*d0*e0*f0*g1+6*a1*b0*c1*d0*e1*f1*g0+12*a1*b0*c1*d0*e1*f1*g1+12*a1*b0*c1*d1*e0*f0*g1+12*a1*b0*c1*d1*e1*f1*g0+24*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d0*e0*f1*g1+6*a1*b1*c0*d0*e1*f0*g1+6*a1*b1*c0*d0*e1*f1*g0+6*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g0+6*a1*b1*c0*d1*e0*f1*g1+12*a1*b1*c0*d1*e1*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+18*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f1*g0+6*a1*b1*c1*d0*e0*f1*g1+12*a1*b1*c1*d0*e1*f0*g1+6*a1*b1*c1*d0*e1*f1*g0+18*a1*b1*c1*d0*e1*f1*g1+6*a1*b1*c1*d1*e0*f1*g0+18*a1*b1*c1*d1*e0*f1*g1+24*a1*b1*c1*d1*e1*f0*g1+18*a1*b1*c1*d1*e1*f1*g0+30*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d1*e0*f1*g1+6*a0*b0*c1*d1*e1*f0*g1+6*a0*b0*c1*d1*e1*f1*g0+6*a0*b0*c1*d1*e1*f1*g1+6*a0*b1*c0*d1*e0*f0*g1+6*a0*b1*c0*d1*e1*f1*g0+12*a0*b1*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f1*g0+6*a0*b1*c1*d1*e0*f1*g1+12*a0*b1*c1*d1*e1*f0*g1+6*a0*b1*c1*d1*e1*f1*g0+18*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c0*d0*e0*f1*g1+6*a1*b0*c0*d0*e1*f0*g1+6*a1*b0*c0*d0*e1*f1*g0+6*a1*b0*c0*d0*e1*f1*g1+12*a1*b0*c1*d1*e0*f1*g1+12*a1*b0*c1*d1*e1*f0*g1+12*a1*b0*c1*d1*e1*f1*g0+12*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g0+6*a1*b1*c0*d1*e0*f1*g1+12*a1*b1*c0*d1*e1*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+18*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f0*g1+6*a1*b1*c1*d0*e0*f1*g0+6*a1*b1*c1*d0*e0*f1*g1+12*a1*b1*c1*d0*e1*f0*g1+12*a1*b1*c1*d0*e1*f1*g0+30*a1*b1*c1*d0*e1*f1*g1+12*a1*b1*c1*d1*e0*f0*g1+6*a1*b1*c1*d1*e0*f1*g0+6*a1*b1*c1*d1*e0*f1*g1+12*a1*b1*c1*d1*e1*f0*g1+18*a1*b1*c1*d1*e1*f1*g0+42*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d1*e0*f1*g0+6*a0*b0*c1*d1*e1*f0*g1+12*a0*b0*c1*d1*e1*f1*g1+6*a0*b1*c0*d1*e0*f0*g1+6*a0*b1*c0*d1*e1*f1*g0+12*a0*b1*c0*d1*e1*f1*g1+12*a0*b1*c1*d1*e0*f1*g1+12*a0*b1*c1*d1*e1*f0*g1+12*a0*b1*c1*d1*e1*f1*g0+12*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c0*d1*e0*f1*g0+6*a1*b0*c0*d1*e1*f0*g1+12*a1*b0*c0*d1*e1*f1*g1+6*a1*b0*c1*d0*e0*f1*g0+6*a1*b0*c1*d0*e1*f0*g1+12*a1*b0*c1*d0*e1*f1*g1+6*a1*b0*c1*d1*e0*f1*g0+6*a1*b0*c1*d1*e1*f0*g1+12*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d0*e0*f1*g1+6*a1*b1*c0*d0*e1*f0*g1+6*a1*b1*c0*d0*e1*f1*g0+6*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+6*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f0*g1+6*a1*b1*c1*d0*e0*f1*g1+6*a1*b1*c1*d0*e1*f0*g1+12*a1*b1*c1*d0*e1*f1*g0+18*a1*b1*c1*d0*e1*f1*g1+12*a1*b1*c1*d1*e0*f0*g1+18*a1*b1*c1*d1*e0*f1*g1+18*a1*b1*c1*d1*e1*f0*g1+30*a1*b1*c1*d1*e1*f1*g0+42*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d1*e0*f1*g1+6*a0*b0*c1*d1*e1*f0*g1+6*a0*b0*c1*d1*e1*f1*g0+6*a0*b0*c1*d1*e1*f1*g1+6*a0*b1*c0*d1*e0*f0*g1+6*a0*b1*c0*d1*e1*f1*g0+12*a0*b1*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f1*g0+6*a0*b1*c1*d1*e0*f1*g1+12*a0*b1*c1*d1*e1*f0*g1+6*a0*b1*c1*d1*e1*f1*g0+18*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c0*d1*e0*f1*g1+6*a1*b0*c0*d1*e1*f0*g1+6*a1*b0*c0*d1*e1*f1*g0+6*a1*b0*c0*d1*e1*f1*g1+6*a1*b0*c1*d0*e0*f1*g1+6*a1*b0*c1*d0*e1*f0*g1+6*a1*b0*c1*d0*e1*f1*g0+6*a1*b0*c1*d0*e1*f1*g1+6*a1*b0*c1*d1*e0*f1*g1+6*a1*b0*c1*d1*e1*f0*g1+6*a1*b0*c1*d1*e1*f1*g0+6*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d0*e0*f1*g1+6*a1*b1*c0*d0*e1*f0*g1+6*a1*b1*c0*d0*e1*f1*g0+6*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g0+6*a1*b1*c0*d1*e1*f0*g1+12*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f0*g1+6*a1*b1*c1*d0*e0*f1*g0+6*a1*b1*c1*d0*e1*f0*g1+6*a1*b1*c1*d0*e1*f1*g0+24*a1*b1*c1*d0*e1*f1*g1+12*a1*b1*c1*d1*e0*f0*g1+6*a1*b1*c1*d1*e0*f1*g0+12*a1*b1*c1*d1*e0*f1*g1+18*a1*b1*c1*d1*e1*f0*g1+24*a1*b1*c1*d1*e1*f1*g0+48*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c0*d1*e0*f1*g1+6*a0*b0*c0*d1*e1*f0*g1+6*a0*b0*c0*d1*e1*f1*g0+6*a0*b0*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f0*g1+6*a0*b1*c1*d1*e0*f1*g0+6*a0*b1*c1*d1*e0*f1*g1+12*a0*b1*c1*d1*e1*f0*g1+12*a0*b1*c1*d1*e1*f1*g0+30*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c1*d0*e0*f1*g1+6*a1*b0*c1*d0*e1*f0*g1+6*a1*b0*c1*d0*e1*f1*g0+6*a1*b0*c1*d0*e1*f1*g1+12*a1*b0*c1*d1*e0*f1*g1+12*a1*b0*c1*d1*e1*f0*g1+12*a1*b0*c1*d1*e1*f1*g0+12*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d0*e0*f0*g1+6*a1*b1*c0*d0*e1*f1*g0+12*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g0+6*a1*b1*c0*d1*e0*f1*g1+12*a1*b1*c0*d1*e1*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+18*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f1*g0+6*a1*b1*c1*d0*e0*f1*g1+12*a1*b1*c1*d0*e1*f0*g1+6*a1*b1*c1*d0*e1*f1*g0+18*a1*b1*c1*d0*e1*f1*g1+12*a1*b1*c1*d1*e0*f0*g1+6*a1*b1*c1*d1*e0*f1*g0+6*a1*b1*c1*d1*e0*f1*g1+12*a1*b1*c1*d1*e1*f0*g1+18*a1*b1*c1*d1*e1*f1*g0+42*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d1*e0*f0*g1+6*a0*b0*c1*d1*e1*f1*g0+12*a0*b0*c1*d1*e1*f1*g1+6*a0*b1*c0*d1*e0*f1*g1+6*a0*b1*c0*d1*e1*f0*g1+6*a0*b1*c0*d1*e1*f1*g0+6*a0*b1*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f1*g0+6*a0*b1*c1*d1*e0*f1*g1+12*a0*b1*c1*d1*e1*f0*g1+6*a0*b1*c1*d1*e1*f1*g0+18*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c0*d0*e0*f0*g1+6*a1*b0*c0*d0*e1*f1*g0+12*a1*b0*c0*d0*e1*f1*g1+12*a1*b0*c1*d1*e0*f0*g1+12*a1*b0*c1*d1*e1*f1*g0+24*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g0+6*a1*b1*c0*d1*e0*f1*g1+12*a1*b1*c0*d1*e1*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+18*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f1*g0+12*a1*b1*c1*d0*e0*f1*g1+18*a1*b1*c1*d0*e1*f0*g1+12*a1*b1*c1*d0*e1*f1*g0+24*a1*b1*c1*d0*e1*f1*g1+6*a1*b1*c1*d1*e0*f1*g0+18*a1*b1*c1*d1*e0*f1*g1+24*a1*b1*c1*d1*e1*f0*g1+18*a1*b1*c1*d1*e1*f1*g0+30*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d1*e0*f1*g0+6*a0*b0*c1*d1*e1*f0*g1+12*a0*b0*c1*d1*e1*f1*g1+6*a0*b1*c0*d1*e0*f1*g1+6*a0*b1*c0*d1*e1*f0*g1+6*a0*b1*c0*d1*e1*f1*g0+6*a0*b1*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f0*g1+6*a0*b1*c1*d1*e0*f1*g1+6*a0*b1*c1*d1*e1*f0*g1+12*a0*b1*c1*d1*e1*f1*g0+18*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c0*d1*e0*f1*g0+6*a1*b0*c0*d1*e1*f0*g1+12*a1*b0*c0*d1*e1*f1*g1+6*a1*b0*c1*d0*e0*f1*g0+6*a1*b0*c1*d0*e1*f0*g1+12*a1*b0*c1*d0*e1*f1*g1+6*a1*b0*c1*d1*e0*f1*g0+6*a1*b0*c1*d1*e1*f0*g1+12*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d0*e0*f0*g1+6*a1*b1*c0*d0*e1*f1*g0+12*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+6*a1*b1*c0*d1*e1*f1*g1+12*a1*b1*c1*d0*e0*f1*g1+12*a1*b1*c1*d0*e1*f0*g1+12*a1*b1*c1*d0*e1*f1*g0+12*a1*b1*c1*d0*e1*f1*g1+12*a1*b1*c1*d1*e0*f0*g1+18*a1*b1*c1*d1*e0*f1*g1+18*a1*b1*c1*d1*e1*f0*g1+30*a1*b1*c1*d1*e1*f1*g0+42*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d1*e0*f1*g1+6*a0*b0*c1*d1*e1*f0*g1+6*a0*b0*c1*d1*e1*f1*g0+6*a0*b0*c1*d1*e1*f1*g1+6*a0*b1*c0*d1*e0*f1*g1+6*a0*b1*c0*d1*e1*f0*g1+6*a0*b1*c0*d1*e1*f1*g0+6*a0*b1*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f0*g1+6*a0*b1*c1*d1*e0*f1*g0+6*a0*b1*c1*d1*e1*f0*g1+6*a0*b1*c1*d1*e1*f1*g0+24*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c0*d1*e0*f1*g1+6*a1*b0*c0*d1*e1*f0*g1+6*a1*b0*c0*d1*e1*f1*g0+6*a1*b0*c0*d1*e1*f1*g1+6*a1*b0*c1*d0*e0*f1*g1+6*a1*b0*c1*d0*e1*f0*g1+6*a1*b0*c1*d0*e1*f1*g0+6*a1*b0*c1*d0*e1*f1*g1+6*a1*b0*c1*d1*e0*f1*g1+6*a1*b0*c1*d1*e1*f0*g1+6*a1*b0*c1*d1*e1*f1*g0+6*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d0*e0*f0*g1+6*a1*b1*c0*d0*e1*f1*g0+12*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g0+6*a1*b1*c0*d1*e1*f0*g1+12*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f1*g0+6*a1*b1*c1*d0*e0*f1*g1+12*a1*b1*c1*d0*e1*f0*g1+6*a1*b1*c1*d0*e1*f1*g0+18*a1*b1*c1*d0*e1*f1*g1+12*a1*b1*c1*d1*e0*f0*g1+6*a1*b1*c1*d1*e0*f1*g0+12*a1*b1*c1*d1*e0*f1*g1+18*a1*b1*c1*d1*e1*f0*g1+24*a1*b1*c1*d1*e1*f1*g0+48*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c0*d1*e0*f1*g1+6*a0*b0*c0*d1*e1*f0*g0+12*a0*b0*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f0*g0+12*a0*b1*c1*d1*e0*f1*g1+12*a0*b1*c1*d1*e1*f0*g0+42*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c1*d0*e0*f1*g1+6*a1*b0*c1*d0*e1*f0*g0+12*a1*b0*c1*d0*e1*f1*g1+12*a1*b0*c1*d1*e0*f1*g1+12*a1*b0*c1*d1*e1*f0*g0+24*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d0*e0*f1*g1+6*a1*b1*c0*d0*e1*f0*g0+12*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f0*g0+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g0+30*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f0*g0+6*a1*b1*c1*d0*e0*f1*g1+6*a1*b1*c1*d0*e1*f0*g0+30*a1*b1*c1*d0*e1*f1*g1+6*a1*b1*c1*d1*e0*f0*g0+18*a1*b1*c1*d1*e0*f1*g1+18*a1*b1*c1*d1*e1*f0*g0+54*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d1*e0*f1*g1+6*a0*b0*c1*d1*e1*f0*g0+12*a0*b0*c1*d1*e1*f1*g1+6*a0*b1*c0*d1*e0*f1*g1+6*a0*b1*c0*d1*e1*f0*g0+12*a0*b1*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f0*g0+6*a0*b1*c1*d1*e0*f1*g1+6*a0*b1*c1*d1*e1*f0*g0+30*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c0*d0*e0*f1*g1+6*a1*b0*c0*d0*e1*f0*g0+12*a1*b0*c0*d0*e1*f1*g1+12*a1*b0*c1*d1*e0*f1*g1+12*a1*b0*c1*d1*e1*f0*g0+24*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d1*e0*f0*g0+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g0+30*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f0*g0+12*a1*b1*c1*d0*e0*f1*g1+12*a1*b1*c1*d0*e1*f0*g0+42*a1*b1*c1*d0*e1*f1*g1+6*a1*b1*c1*d1*e0*f0*g0+18*a1*b1*c1*d1*e0*f1*g1+18*a1*b1*c1*d1*e1*f0*g0+54*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d1*e0*f0*g0+18*a0*b0*c1*d1*e1*f1*g1+6*a0*b1*c0*d1*e0*f1*g1+6*a0*b1*c0*d1*e1*f0*g0+12*a0*b1*c0*d1*e1*f1*g1+12*a0*b1*c1*d1*e0*f1*g1+12*a0*b1*c1*d1*e1*f0*g0+24*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c0*d1*e0*f0*g0+18*a1*b0*c0*d1*e1*f1*g1+6*a1*b0*c1*d0*e0*f0*g0+18*a1*b0*c1*d0*e1*f1*g1+6*a1*b0*c1*d1*e0*f0*g0+18*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d0*e0*f1*g1+6*a1*b1*c0*d0*e1*f0*g0+12*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g1+6*a1*b1*c0*d1*e1*f0*g0+12*a1*b1*c0*d1*e1*f1*g1+12*a1*b1*c1*d0*e0*f1*g1+12*a1*b1*c1*d0*e1*f0*g0+24*a1*b1*c1*d0*e1*f1*g1+30*a1*b1*c1*d1*e0*f1*g1+30*a1*b1*c1*d1*e1*f0*g0+60*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d1*e0*f1*g1+6*a0*b0*c1*d1*e1*f0*g0+12*a0*b0*c1*d1*e1*f1*g1+6*a0*b1*c0*d1*e0*f1*g1+6*a0*b1*c0*d1*e1*f0*g0+12*a0*b1*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f0*g0+6*a0*b1*c1*d1*e0*f1*g1+6*a0*b1*c1*d1*e1*f0*g0+30*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c0*d1*e0*f1*g1+6*a1*b0*c0*d1*e1*f0*g0+12*a1*b0*c0*d1*e1*f1*g1+6*a1*b0*c1*d0*e0*f1*g1+6*a1*b0*c1*d0*e1*f0*g0+12*a1*b0*c1*d0*e1*f1*g1+6*a1*b0*c1*d1*e0*f1*g1+6*a1*b0*c1*d1*e1*f0*g0+12*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d0*e0*f1*g1+6*a1*b1*c0*d0*e1*f0*g0+12*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f0*g0+18*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f0*g0+6*a1*b1*c1*d0*e0*f1*g1+6*a1*b1*c1*d0*e1*f0*g0+30*a1*b1*c1*d0*e1*f1*g1+6*a1*b1*c1*d1*e0*f0*g0+24*a1*b1*c1*d1*e0*f1*g1+24*a1*b1*c1*d1*e1*f0*g0+66*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c0*d1*e0*f1*g1+6*a0*b0*c0*d1*e1*f0*g1+6*a0*b0*c0*d1*e1*f1*g0+6*a0*b0*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f0*g1+6*a0*b1*c1*d1*e0*f1*g0+6*a0*b1*c1*d1*e0*f1*g1+12*a0*b1*c1*d1*e1*f0*g1+12*a0*b1*c1*d1*e1*f1*g0+30*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c1*d0*e0*f1*g1+6*a1*b0*c1*d0*e1*f0*g1+6*a1*b0*c1*d0*e1*f1*g0+6*a1*b0*c1*d0*e1*f1*g1+12*a1*b0*c1*d1*e0*f1*g1+12*a1*b0*c1*d1*e1*f0*g1+12*a1*b0*c1*d1*e1*f1*g0+12*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d0*e0*f1*g1+6*a1*b1*c0*d0*e1*f0*g1+6*a1*b1*c0*d0*e1*f1*g0+6*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f0*g1+6*a1*b1*c0*d1*e0*f1*g0+6*a1*b1*c0*d1*e1*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+24*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f0*g1+6*a1*b1*c1*d0*e0*f1*g0+6*a1*b1*c1*d0*e1*f0*g1+6*a1*b1*c1*d0*e1*f1*g0+24*a1*b1*c1*d0*e1*f1*g1+6*a1*b1*c1*d1*e0*f0*g1+6*a1*b1*c1*d1*e0*f1*g0+12*a1*b1*c1*d1*e0*f1*g1+18*a1*b1*c1*d1*e1*f0*g1+18*a1*b1*c1*d1*e1*f1*g0+36*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d1*e0*f1*g1+6*a0*b0*c1*d1*e1*f0*g1+6*a0*b0*c1*d1*e1*f1*g0+6*a0*b0*c1*d1*e1*f1*g1+6*a0*b1*c0*d1*e0*f1*g1+6*a0*b1*c0*d1*e1*f0*g1+6*a0*b1*c0*d1*e1*f1*g0+6*a0*b1*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f0*g1+6*a0*b1*c1*d1*e0*f1*g0+6*a0*b1*c1*d1*e1*f0*g1+6*a0*b1*c1*d1*e1*f1*g0+24*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c0*d0*e0*f1*g1+6*a1*b0*c0*d0*e1*f0*g1+6*a1*b0*c0*d0*e1*f1*g0+6*a1*b0*c0*d0*e1*f1*g1+12*a1*b0*c1*d1*e0*f1*g1+12*a1*b0*c1*d1*e1*f0*g1+12*a1*b0*c1*d1*e1*f1*g0+12*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d1*e0*f0*g1+6*a1*b1*c0*d1*e0*f1*g0+6*a1*b1*c0*d1*e1*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+24*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f0*g1+6*a1*b1*c1*d0*e0*f1*g0+6*a1*b1*c1*d0*e0*f1*g1+12*a1*b1*c1*d0*e1*f0*g1+12*a1*b1*c1*d0*e1*f1*g0+30*a1*b1*c1*d0*e1*f1*g1+6*a1*b1*c1*d1*e0*f0*g1+6*a1*b1*c1*d1*e0*f1*g0+12*a1*b1*c1*d1*e0*f1*g1+18*a1*b1*c1*d1*e1*f0*g1+18*a1*b1*c1*d1*e1*f1*g0+36*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d1*e0*f1*g0+6*a0*b0*c1*d1*e1*f0*g1+12*a0*b0*c1*d1*e1*f1*g1+6*a0*b1*c0*d1*e0*f1*g1+6*a0*b1*c0*d1*e1*f0*g1+6*a0*b1*c0*d1*e1*f1*g0+6*a0*b1*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f0*g1+6*a0*b1*c1*d1*e0*f1*g1+6*a0*b1*c1*d1*e1*f0*g1+12*a0*b1*c1*d1*e1*f1*g0+18*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c0*d1*e0*f1*g0+6*a1*b0*c0*d1*e1*f0*g1+12*a1*b0*c0*d1*e1*f1*g1+6*a1*b0*c1*d0*e0*f1*g0+6*a1*b0*c1*d0*e1*f0*g1+12*a1*b0*c1*d0*e1*f1*g1+6*a1*b0*c1*d1*e0*f1*g0+6*a1*b0*c1*d1*e1*f0*g1+12*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d0*e0*f1*g1+6*a1*b1*c0*d0*e1*f0*g1+6*a1*b1*c0*d0*e1*f1*g0+6*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f0*g1+6*a1*b1*c0*d1*e1*f1*g0+12*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f0*g1+6*a1*b1*c1*d0*e0*f1*g1+6*a1*b1*c1*d0*e1*f0*g1+12*a1*b1*c1*d0*e1*f1*g0+18*a1*b1*c1*d0*e1*f1*g1+6*a1*b1*c1*d1*e0*f0*g1+24*a1*b1*c1*d1*e0*f1*g1+24*a1*b1*c1*d1*e1*f0*g1+30*a1*b1*c1*d1*e1*f1*g0+36*a1*b1*c1*d1*e1*f1*g1,
6*a0*b0*c1*d1*e0*f0*g1+6*a0*b0*c1*d1*e1*f1*g0+12*a0*b0*c1*d1*e1*f1*g1+6*a0*b1*c0*d1*e0*f1*g1+6*a0*b1*c0*d1*e1*f0*g1+6*a0*b1*c0*d1*e1*f1*g0+6*a0*b1*c0*d1*e1*f1*g1+6*a0*b1*c1*d1*e0*f1*g0+6*a0*b1*c1*d1*e0*f1*g1+12*a0*b1*c1*d1*e1*f0*g1+6*a0*b1*c1*d1*e1*f1*g0+18*a0*b1*c1*d1*e1*f1*g1+6*a1*b0*c0*d1*e0*f0*g1+6*a1*b0*c0*d1*e1*f1*g0+12*a1*b0*c0*d1*e1*f1*g1+6*a1*b0*c1*d0*e0*f0*g1+6*a1*b0*c1*d0*e1*f1*g0+12*a1*b0*c1*d0*e1*f1*g1+6*a1*b0*c1*d1*e0*f0*g1+6*a1*b0*c1*d1*e1*f1*g0+12*a1*b0*c1*d1*e1*f1*g1+6*a1*b1*c0*d0*e0*f1*g1+6*a1*b1*c0*d0*e1*f0*g1+6*a1*b1*c0*d0*e1*f1*g0+6*a1*b1*c0*d0*e1*f1*g1+6*a1*b1*c0*d1*e0*f1*g0+6*a1*b1*c0*d1*e1*f0*g1+12*a1*b1*c0*d1*e1*f1*g1+6*a1*b1*c1*d0*e0*f1*g0+6*a1*b1*c1*d0*e0*f1*g1+12*a1*b1*c1*d0*e1*f0*g1+6*a1*b1*c1*d0*e1*f1*g0+18*a1*b1*c1*d0*e1*f1*g1+6*a1*b1*c1*d1*e0*f1*g0+24*a1*b1*c1*d1*e0*f1*g1+30*a1*b1*c1*d1*e1*f0*g1+24*a1*b1*c1*d1*e1*f1*g0+36*a1*b1*c1*d1*e1*f1*g1
]:

# Substitutions based on the model

P := P0:
P := subs(a0 = 1-3*a1, P):
P := subs(b0 = 1-3*b1, P):
P := subs(c0 = 1-3*c1, P):
P := subs(d0 = 1-3*d1, P):
P := subs(e0 = 1-3*e1, P):
P := subs(f0 = 1-3*f1, P):
P := subs(g0 = 1-3*g1, P):

# Check that the polynomial parametrization lies in the probability simplex

suma := 0:
for i from 1 to nops(P) do
suma := suma + P[i]:
od:
normal(expand(suma));

# Ideal of Invariants in Fourier coordinates

Invariants := Matrix([
q17*q33-q19*q34,
q9*q33-q11*q34,
q30*q32-q33*q34,
q28*q32-q29*q33,
q24*q32-q26*q34,
q20*q32-q19*q34,
q19*q32-q21*q33,
q17*q32-q21*q34,
q16*q32-q15*q33,
q12*q32-q11*q34,
q11*q32-q13*q33,
q9*q32-q13*q34,
q8*q32-q7*q33,
q3*q32-q5*q34,
q21*q31-q18*q32,
q19*q31-q18*q33,
q17*q31-q18*q34,
q13*q31-q10*q32,
q11*q31-q10*q33,
q9*q31-q10*q34,
q29*q30-q28*q34,
q26*q30-q24*q33,
q21*q30-q19*q34,
q19*q30-q20*q33,
q18*q30-q20*q31,
q17*q30-q20*q34,
q15*q30-q16*q34,
q13*q30-q11*q34,
q11*q30-q12*q33,
q10*q30-q12*q31,
q9*q30-q12*q34,
q7*q30-q8*q34,
q5*q30-q3*q33,
q26*q29-q23*q32,
q24*q29-q23*q34,
q21*q29-q15*q32,
q20*q29-q16*q34,
q19*q29-q15*q33,
q18*q29-q15*q31,
q17*q29-q15*q34,
q13*q29-q7*q32,
q12*q29-q8*q34,
q11*q29-q7*q33,
q10*q29-q7*q31,
q9*q29-q7*q34,
q5*q29-q2*q32,
q3*q29-q2*q34,
q26*q28-q23*q33,
q24*q28-q23*q30,
q21*q28-q15*q33,
q20*q28-q16*q30,
q19*q28-q16*q33,
q18*q28-q16*q31,
q17*q28-q16*q34,
q15*q28-q16*q29,
q13*q28-q7*q33,
q12*q28-q8*q30,
q11*q28-q8*q33,
q10*q28-q8*q31,
q9*q28-q8*q34,
q7*q28-q8*q29,
q5*q28-q2*q33,
q3*q28-q2*q30,
q25*q27-q22*q31,
q21*q27-q14*q32,
q20*q27-q14*q30,
q19*q27-q14*q33,
q18*q27-q14*q31,
q17*q27-q14*q34,
q16*q27-q14*q28,
q15*q27-q14*q29,
q13*q27-q6*q32,
q12*q27-q6*q30,
q11*q27-q6*q33,
q10*q27-q6*q31,
q9*q27-q6*q34,
q8*q27-q6*q28,
q7*q27-q6*q29,
q4*q27-q1*q31,
q5*q25-q4*q26,
q21*q24-q17*q26,
q19*q24-q20*q26,
q13*q24-q9*q26,
q11*q24-q12*q26,
q5*q24-q3*q26,
q4*q24-q3*q25,
q21*q23-q15*q26,
q20*q23-q16*q24,
q19*q23-q16*q26,
q17*q23-q15*q24,
q13*q23-q7*q26,
q12*q23-q8*q24,
q11*q23-q8*q26,
q9*q23-q7*q24,
q5*q23-q2*q26,
q4*q23-q2*q25,
q3*q23-q2*q24,
q18*q22-q14*q25,
q10*q22-q6*q25,
q5*q22-q1*q26,
q4*q22-q1*q25,
q3*q22-q1*q24,
q2*q22-q1*q23,
q13*q20-q12*q21,
q17*q19-q20*q21,
q15*q19-q16*q21,
q13*q19-q11*q21,
q12*q19-q11*q20,
q9*q19-q12*q21,
q7*q19-q8*q21,
q3*q19-q5*q20,
q13*q18-q10*q21,
q12*q18-q10*q20,
q11*q18-q10*q19,
q16*q17-q15*q20,
q13*q17-q9*q21,
q12*q17-q9*q20,
q11*q17-q12*q21,
q10*q17-q9*q18,
q8*q17-q7*q20,
q5*q17-q3*q21,
q13*q16-q8*q21,
q12*q16-q8*q20,
q11*q16-q8*q19,
q10*q16-q8*q18,
q9*q16-q7*q20,
q5*q16-q2*q19,
q3*q16-q2*q20,
q13*q15-q7*q21,
q12*q15-q7*q20,
q11*q15-q8*q21,
q10*q15-q7*q18,
q9*q15-q7*q17,
q8*q15-q7*q16,
q5*q15-q2*q21,
q3*q15-q2*q17,
q13*q14-q6*q21,
q12*q14-q6*q20,
q11*q14-q6*q19,
q10*q14-q6*q18,
q9*q14-q6*q17,
q8*q14-q6*q16,
q7*q14-q6*q15,
q4*q14-q1*q18,
q9*q11-q12*q13,
q7*q11-q8*q13,
q3*q11-q5*q12,
q8*q9-q7*q12,
q5*q9-q3*q13,
q5*q8-q2*q11,
q3*q8-q2*q12,
q5*q7-q2*q13,
q3*q7-q2*q9,
q4*q6-q1*q10,
q22*q33^2-q23*q31*q34,
q1*q33^2-q2*q31*q34,
q27*q32*q33-q28*q31*q34,
q22*q32*q33-q25*q28*q34,
q14*q32*q33-q16*q31*q34,
q6*q32*q33-q8*q31*q34,
q1*q32*q33-q4*q28*q34,
q25*q30*q33-q26*q31*q34,
q22*q30*q33-q26*q27*q34,
q4*q30*q33-q5*q31*q34,
q1*q30*q33-q5*q27*q34,
q20*q25*q33-q18*q26*q34,
q12*q25*q33-q10*q26*q34,
q21*q22*q33-q16*q25*q34,
q20*q22*q33-q14*q26*q34,
q19*q22*q33-q18*q23*q34,
q13*q22*q33-q8*q25*q34,
q12*q22*q33-q6*q26*q34,
q11*q22*q33-q10*q23*q34,
q14*q21*q33-q16*q18*q34,
q6*q21*q33-q8*q18*q34,
q1*q21*q33-q4*q16*q34,
q4*q20*q33-q5*q18*q34,
q1*q20*q33-q5*q14*q34,
q1*q19*q33-q2*q18*q34,
q6*q13*q33-q8*q10*q34,
q1*q13*q33-q4*q8*q34,
q4*q12*q33-q5*q10*q34,
q1*q12*q33-q5*q6*q34,
q1*q11*q33-q2*q10*q34,
q27*q32^2-q29*q31*q34,
q22*q32^2-q25*q29*q34,
q14*q32^2-q15*q31*q34,
q6*q32^2-q7*q31*q34,
q1*q32^2-q4*q29*q34,
q26*q31*q32-q25*q33^2,
q23*q31*q32-q25*q28*q33,
q5*q31*q32-q4*q33^2,
q2*q31*q32-q4*q28*q33,
q26*q27*q32-q23*q31*q34,
q23*q27*q32-q22*q28*q33,
q5*q27*q32-q2*q31*q34,
q2*q27*q32-q1*q28*q33,
q22*q26*q32-q23*q25*q34,
q18*q26*q32-q19*q25*q33,
q14*q26*q32-q18*q23*q34,
q10*q26*q32-q11*q25*q33,
q6*q26*q32-q10*q23*q34,
q1*q26*q32-q2*q25*q34,
q18*q23*q32-q16*q25*q33,
q14*q23*q32-q16*q22*q33,
q10*q23*q32-q8*q25*q33,
q6*q23*q32-q8*q22*q33,
q21*q22*q32-q15*q25*q34,
q13*q22*q32-q7*q25*q34,
q14*q21*q32-q15*q18*q34,
q6*q21*q32-q7*q18*q34,
q1*q21*q32-q4*q15*q34,
q5*q18*q32-q4*q19*q33,
q2*q18*q32-q4*q16*q33,
q5*q14*q32-q2*q18*q34,
q2*q14*q32-q1*q16*q33,
q6*q13*q32-q7*q10*q34,
q1*q13*q32-q4*q7*q34,
q5*q10*q32-q4*q11*q33,
q2*q10*q32-q4*q8*q33,
q5*q6*q32-q2*q10*q34,
q2*q6*q32-q1*q8*q33,
q1*q5*q32-q2*q4*q34,
q28*q30*q31-q27*q33^2,
q23*q30*q31-q26*q27*q33,
q16*q30*q31-q14*q33^2,
q8*q30*q31-q6*q33^2,
q2*q30*q31-q5*q27*q33,
q16*q24*q31-q14*q26*q33,
q8*q24*q31-q6*q26*q33,
q16*q20*q31-q14*q19*q33,
q8*q20*q31-q6*q19*q33,
q2*q20*q31-q5*q14*q33,
q8*q12*q31-q6*q11*q33,
q2*q12*q31-q5*q6*q33,
q25*q30^2-q24*q31*q34,
q22*q30^2-q24*q27*q34,
q4*q30^2-q3*q31*q34,
q1*q30^2-q3*q27*q34,
q25*q28*q30-q23*q31*q34,
q22*q28*q30-q23*q27*q34,
q4*q28*q30-q2*q31*q34,
q1*q28*q30-q2*q27*q34,
q23*q25*q30-q22*q26*q33,
q20*q25*q30-q18*q24*q34,
q16*q25*q30-q18*q23*q34,
q12*q25*q30-q10*q24*q34,
q8*q25*q30-q10*q23*q34,
q2*q25*q30-q1*q26*q33,
q20*q22*q30-q14*q24*q34,
q16*q22*q30-q14*q23*q34,
q12*q22*q30-q6*q24*q34,
q8*q22*q30-q6*q23*q34,
q4*q20*q30-q3*q18*q34,
q1*q20*q30-q3*q14*q34,
q4*q16*q30-q2*q18*q34,
q1*q16*q30-q2*q14*q34,
q4*q12*q30-q3*q10*q34,
q1*q12*q30-q3*q6*q34,
q4*q8*q30-q2*q10*q34,
q1*q8*q30-q2*q6*q34,
q2*q4*q30-q1*q5*q33,
q25*q28^2-q23*q29*q31,
q22*q28^2-q23*q27*q29,
q4*q28^2-q2*q29*q31,
q1*q28^2-q2*q27*q29,
q16*q25*q28-q15*q23*q31,
q8*q25*q28-q7*q23*q31,
q16*q22*q28-q14*q23*q29,
q8*q22*q28-q6*q23*q29,
q4*q16*q28-q2*q15*q31,
q1*q16*q28-q2*q14*q29,
q4*q8*q28-q2*q7*q31,
q1*q8*q28-q2*q6*q29,
q26^2*q27-q23*q24*q31,
q5*q26*q27-q2*q24*q31,
q5^2*q27-q2*q3*q31,
q13*q21*q26-q5*q32^2,
q12*q21*q26-q5*q33*q34,
q11*q21*q26-q5*q32*q33,
q10*q21*q26-q4*q33^2,
q9*q21*q26-q5*q32*q34,
q8*q21*q26-q2*q32*q33,
q7*q21*q26-q2*q32^2,
q6*q21*q26-q2*q31*q34,
q12*q20*q26-q3*q30*q33,
q11*q20*q26-q3*q33^2,
q10*q20*q26-q3*q31*q33,
q9*q20*q26-q3*q33*q34,
q8*q20*q26-q2*q30*q33,
q7*q20*q26-q2*q33*q34,
q6*q20*q26-q3*q27*q33,
q11*q19*q26-q5*q33^2,
q10*q19*q26-q5*q31*q33,
q8*q19*q26-q2*q33^2,
q6*q19*q26-q5*q27*q33,
q10*q18*q26-q5*q31^2,
q9*q18*q26-q5*q31*q34,
q8*q18*q26-q2*q31*q33,
q7*q18*q26-q4*q28*q33,
q6*q18*q26-q5*q27*q31,
q9*q17*q26-q5*q34^2,
q7*q17*q26-q2*q32*q34,
q6*q17*q26-q5*q27*q34,
q8*q16*q26-q2*q28*q33,
q7*q16*q26-q2*q29*q33,
q6*q16*q26-q2*q27*q33,
q7*q15*q26-q2*q29*q32,
q6*q15*q26-q1*q28*q33,
q6*q14*q26-q5*q27^2,
q23*q24*q25-q22*q26^2,
q16*q24*q25-q19*q22*q26,
q15*q24*q25-q21*q22*q26,
q8*q24*q25-q11*q22*q26,
q7*q24*q25-q13*q22*q26,
q2*q24*q25-q1*q26^2,
q13*q21*q25-q4*q32^2,
q12*q21*q25-q4*q33*q34,
q11*q21*q25-q4*q32*q33,
q10*q21*q25-q4*q31*q32,
q9*q21*q25-q4*q32*q34,
q8*q21*q25-q4*q29*q33,
q7*q21*q25-q4*q29*q32,
q6*q21*q25-q1*q31*q32,
q19*q20*q25-q17*q18*q26,
q16*q20*q25-q14*q21*q26,
q12*q20*q25-q3*q31*q34,
q11*q20*q25-q5*q31*q34,
q10*q20*q25-q4*q30*q31,
q9*q20*q25-q4*q30*q34,
q8*q20*q25-q2*q31*q34,
q7*q20*q25-q4*q28*q34,
q6*q20*q25-q1*q30*q31,
q2*q20*q25-q1*q19*q26,
q19^2*q25-q18*q21*q26,
q16*q19*q25-q15*q18*q26,
q11*q19*q25-q4*q33^2,
q10*q19*q25-q4*q31*q33,
q8*q19*q25-q4*q28*q33,
q6*q19*q25-q1*q31*q33,
q10*q18*q25-q4*q31^2,
q9*q18*q25-q4*q31*q34,
q8*q18*q25-q4*q28*q31,
q7*q18*q25-q4*q29*q31,
q6*q18*q25-q1*q31^2,
q9*q17*q25-q4*q34^2,
q7*q17*q25-q4*q29*q34,
q6*q17*q25-q1*q31*q34,
q2*q17*q25-q1*q21*q26,
q8*q16*q25-q2*q29*q31,
q7*q16*q25-q4*q28*q29,
q6*q16*q25-q1*q28*q31,
q7*q15*q25-q4*q29^2,
q6*q15*q25-q1*q29*q31,
q6*q14*q25-q1*q27*q31,
q11*q12*q25-q9*q10*q26,
q8*q12*q25-q6*q13*q26,
q2*q12*q25-q1*q11*q26,
q11^2*q25-q10*q13*q26,
q8*q11*q25-q7*q10*q26,
q2*q9*q25-q1*q13*q26,
q2*q3*q25-q1*q5*q26,
q18*q23*q24-q14*q26^2,
q10*q23*q24-q6*q26^2,
q12*q20*q24-q3*q30^2,
q10*q20*q24-q3*q30*q31,
q9*q20*q24-q3*q30*q34,
q8*q20*q24-q2*q30^2,
q7*q20*q24-q2*q30*q34,
q6*q20*q24-q3*q27*q30,
q17*q18*q24-q20^2*q25,
q16*q18*q24-q14*q19*q26,
q15*q18*q24-q14*q21*q26,
q10*q18*q24-q3*q31^2,
q9*q18*q24-q3*q31*q34,
q8*q18*q24-q5*q27*q33,
q7*q18*q24-q2*q31*q34,
q6*q18*q24-q3*q27*q31,
q2*q18*q24-q5*q14*q26,
q9*q17*q24-q3*q34^2,
q7*q17*q24-q2*q34^2,
q6*q17*q24-q3*q27*q34,
q8*q16*q24-q2*q28*q30,
q7*q16*q24-q2*q28*q34,
q6*q16*q24-q2*q27*q30,
q7*q15*q24-q2*q29*q34,
q6*q15*q24-q2*q27*q34,
q6*q14*q24-q3*q27^2,
q9*q10*q24-q12^2*q25,
q8*q10*q24-q6*q11*q26,
q7*q10*q24-q6*q13*q26,
q2*q10*q24-q5*q6*q26,
q15*q18*q23-q16^2*q25,
q10*q18*q23-q2*q31^2,
q8*q18*q23-q2*q28*q31,
q7*q18*q23-q2*q29*q31,
q6*q18*q23-q2*q27*q31,
q8*q16*q23-q2*q28^2,
q7*q16*q23-q2*q28*q29,
q6*q16*q23-q2*q27*q28,
q7*q15*q23-q2*q29^2,
q6*q15*q23-q2*q27*q29,
q6*q14*q23-q2*q27^2,
q7*q10*q23-q8^2*q25,
q21^2*q22-q15*q17*q25,
q19*q21*q22-q15*q20*q25,
q13*q21*q22-q4*q29*q34,
q12*q21*q22-q1*q33*q34,
q11*q21*q22-q4*q28*q34,
q9*q21*q22-q1*q32*q34,
q8*q21*q22-q1*q29*q33,
q7*q21*q22-q1*q29*q32,
q6*q21*q22-q1*q27*q32,
q20^2*q22-q14*q17*q24,
q19*q20*q22-q14*q17*q26,
q16*q20*q22-q14*q15*q24,
q12*q20*q22-q3*q27*q34,
q11*q20*q22-q5*q27*q34,
q9*q20*q22-q1*q30*q34,
q8*q20*q22-q2*q27*q34,
q7*q20*q22-q1*q28*q34,
q6*q20*q22-q1*q27*q30,
q19^2*q22-q14*q21*q26,
q16*q19*q22-q14*q15*q26,
q11*q19*q22-q2*q31*q34,
q8*q19*q22-q1*q28*q33,
q6*q19*q22-q1*q27*q33,
q9*q17*q22-q1*q34^2,
q7*q17*q22-q1*q29*q34,
q6*q17*q22-q1*q27*q34,
q16^2*q22-q14*q15*q23,
q8*q16*q22-q2*q27*q29,
q7*q16*q22-q1*q28*q29,
q6*q16*q22-q1*q27*q28,
q7*q15*q22-q1*q29^2,
q6*q15*q22-q1*q27*q29,
q6*q14*q22-q1*q27^2,
q13^2*q22-q7*q9*q25,
q11*q13*q22-q7*q12*q25,
q12^2*q22-q6*q9*q24,
q11*q12*q22-q6*q9*q26,
q8*q12*q22-q6*q7*q24,
q11^2*q22-q6*q13*q26,
q8*q11*q22-q6*q7*q26,
q8^2*q22-q6*q7*q23,
q4*q19*q20-q3*q18*q21,
q1*q19*q20-q3*q14*q21,
q15*q18*q20-q14*q19*q21,
q7*q18*q20-q6*q19*q21,
q4*q16*q20-q5*q14*q21,
q4*q15*q20-q1*q19*q21,
q4*q11*q20-q3*q10*q21,
q1*q11*q20-q3*q6*q21,
q7*q10*q20-q6*q11*q21,
q4*q8*q20-q5*q6*q21,
q4*q7*q20-q1*q11*q21,
q14*q19^2-q16*q18*q20,
q6*q19^2-q8*q18*q20,
q4*q19^2-q5*q18*q21,
q1*q19^2-q5*q14*q21,
q4*q16*q19-q2*q18*q21,
q1*q16*q19-q2*q14*q21,
q5*q14*q19-q2*q18*q20,
q6*q11*q19-q8*q10*q20,
q4*q11*q19-q5*q10*q21,
q1*q11*q19-q5*q6*q21,
q4*q8*q19-q2*q10*q21,
q1*q8*q19-q2*q6*q21,
q5*q6*q19-q2*q10*q20,
q1*q5*q19-q2*q4*q20,
q15*q17*q18-q14*q21^2,
q7*q17*q18-q6*q21^2,
q3*q17*q18-q4*q20^2,
q2*q17*q18-q5*q14*q21,
q7*q9*q18-q6*q13*q21,
q3*q9*q18-q4*q12*q20,
q2*q9*q18-q5*q6*q21,
q4*q15*q17-q1*q21^2,
q3*q14*q17-q1*q20^2,
q2*q14*q17-q1*q16*q20,
q4*q7*q17-q1*q13*q21,
q3*q6*q17-q1*q12*q20,
q2*q6*q17-q1*q8*q20,
q2*q4*q17-q1*q5*q21,
q4*q16^2-q2*q15*q18,
q4*q8*q16-q2*q7*q18,
q2*q14*q15-q1*q16^2,
q2*q6*q15-q1*q8*q16,
q5^2*q14-q2*q3*q18,
q4*q11*q12-q3*q10*q13,
q1*q11*q12-q3*q6*q13,
q7*q10*q12-q6*q11*q13,
q4*q8*q12-q5*q6*q13,
q4*q7*q12-q1*q11*q13,
q6*q11^2-q8*q10*q12,
q4*q11^2-q5*q10*q13,
q1*q11^2-q5*q6*q13,
q4*q8*q11-q2*q10*q13,
q1*q8*q11-q2*q6*q13,
q5*q6*q11-q2*q10*q12,
q1*q5*q11-q2*q4*q12,
q7*q9*q10-q6*q13^2,
q3*q9*q10-q4*q12^2,
q2*q9*q10-q5*q6*q13,
q4*q7*q9-q1*q13^2,
q3*q6*q9-q1*q12^2,
q2*q6*q9-q1*q8*q12,
q2*q4*q9-q1*q5*q13,
q4*q8^2-q2*q7*q10,
q2*q6*q7-q1*q8^2,
q5^2*q6-q2*q3*q10,
q2*q3*q4-q1*q5^2
]):

# Ideal of Invariants in probability coordinates

Fourier := MatrixMatrixMultiply(F,PParam):

PInvariants := Invariants:
for i from 1 to nops(QParam) do
PInvariants := subs(QParam[i] = Fourier[i, 1], PInvariants):
od:

# Evaluation of Invariants at the polynomial/rational parametrization

num := op(PInvariants[1,1..-1])[1]:
for j from 1 to num do
coordpoly := PInvariants[1, j]:
for i from 1 to op(PParam[1..-1,1])[1] do
coordpoly := subs(PParam[i, 1] = P0[i], coordpoly):
od:
coordpoly :=expand(coordpoly):
lprint(j,coordpoly);
od: