There are, 1, directed loop-less graphs with 2 vertices and 2 edges up to iso\ mprphism here they are {{[1, 2], [2, 1]}} For each of these there is a Larcombe-Fennessey type relations for an 2 by 2\ generic matrix Let M be the generic, 2, by , 2, matrix [a[1, 1] a[1, 2]] [ ] [a[2, 1] a[2, 2]] ------------------------------------ Theorem number, 1, : let, {X[1, 2], X[2, 1]}, be the entries of an ARBITRARY \ power of the general matrix M, we always have the linear relation -X[1, 2] a[2, 1] + X[2, 1] a[1, 2] = 0 in Maple notation -X[1,2]*a[2,1]+X[2,1]*a[1,2] = 0 --------------------------- This ends this paper that took, 0.039, seconds to produce. There are, 4, directed loop-less graphs with 3 vertices and 3 edges up to iso\ mprphism here they are {{[1, 2], [1, 3], [2, 1]}, {[1, 2], [1, 3], [2, 3]}, {[1, 2], [2, 1], [3, 1]}, {[1, 2], [2, 3], [3, 1]}} For each of these there is a Larcombe-Fennessey type relations for an 3 by 3\ generic matrix Let M be the generic, 3, by , 3, matrix [a[1, 1] a[1, 2] a[1, 3]] [ ] [a[2, 1] a[2, 2] a[2, 3]] [ ] [a[3, 1] a[3, 2] a[3, 3]] ------------------------------------ Theorem number, 1, : let, {X[1, 2], X[1, 3], X[2, 1]}, be the entries of an A\ RBITRARY power of the general matrix M, we always have the linear relati\ on X[1, 2] (a[1, 2] a[2, 1] a[2, 3] - a[1, 3] a[2, 1] a[2, 2] + a[1, 3] a[2, 1] a[3, 3] - a[1, 3] a[2, 3] a[3, 1]) + X[1, 3] (a[1, 2] a[2, 3] a[3, 1] - a[1, 3] a[2, 1] a[3, 2]) + ( 2 -a[1, 2] a[2, 3] + a[1, 2] a[1, 3] a[2, 2] - a[1, 2] a[1, 3] a[3, 3] 2 + a[1, 3] a[3, 2]) X[2, 1] = 0 in Maple notation X[1,2]*(a[1,2]*a[2,1]*a[2,3]-a[1,3]*a[2,1]*a[2,2]+a[1,3]*a[2,1]*a[3,3]-a[1,3]*a [2,3]*a[3,1])+X[1,3]*(a[1,2]*a[2,3]*a[3,1]-a[1,3]*a[2,1]*a[3,2])+(-a[1,2]^2*a[2 ,3]+a[1,2]*a[1,3]*a[2,2]-a[1,2]*a[1,3]*a[3,3]+a[1,3]^2*a[3,2])*X[2,1] = 0 ------------------------------------ Theorem number, 2, : let, {X[1, 2], X[1, 3], X[2, 3]}, be the entries of an A\ RBITRARY power of the general matrix M, we always have the linear relati\ on 2 2 (-a[1, 1] a[1, 3] a[2, 3] - a[1, 2] a[2, 3] + a[1, 3] a[2, 1] + a[1, 3] a[2, 2] a[2, 3]) X[1, 2] + (a[1, 1] a[1, 2] a[2, 3] - a[1, 2] a[1, 3] a[2, 1] - a[1, 2] a[2, 3] a[3, 3] 2 + a[1, 3] a[2, 3] a[3, 2]) X[1, 3] + X[2, 3] (a[1, 2] a[2, 3] 2 - a[1, 2] a[1, 3] a[2, 2] + a[1, 2] a[1, 3] a[3, 3] - a[1, 3] a[3, 2]) = 0 in Maple notation (-a[1,1]*a[1,3]*a[2,3]-a[1,2]*a[2,3]^2+a[1,3]^2*a[2,1]+a[1,3]*a[2,2]*a[2,3])*X[ 1,2]+(a[1,1]*a[1,2]*a[2,3]-a[1,2]*a[1,3]*a[2,1]-a[1,2]*a[2,3]*a[3,3]+a[1,3]*a[2 ,3]*a[3,2])*X[1,3]+X[2,3]*(a[1,2]^2*a[2,3]-a[1,2]*a[1,3]*a[2,2]+a[1,2]*a[1,3]*a [3,3]-a[1,3]^2*a[3,2]) = 0 ------------------------------------ Theorem number, 3, : let, {X[1, 2], X[2, 1], X[3, 1]}, be the entries of an A\ RBITRARY power of the general matrix M, we always have the linear relati\ on 2 (a[2, 1] a[3, 2] - a[2, 1] a[2, 2] a[3, 1] + a[2, 1] a[3, 1] a[3, 3] 2 - a[2, 3] a[3, 1] ) X[1, 2] + (-a[1, 2] a[2, 1] a[3, 2] + a[1, 2] a[2, 2] a[3, 1] - a[1, 2] a[3, 1] a[3, 3] + a[1, 3] a[3, 1] a[3, 2]) X[2, 1] + X[3, 1] (a[1, 2] a[2, 3] a[3, 1] - a[1, 3] a[2, 1] a[3, 2]) = 0 in Maple notation (a[2,1]^2*a[3,2]-a[2,1]*a[2,2]*a[3,1]+a[2,1]*a[3,1]*a[3,3]-a[2,3]*a[3,1]^2)*X[1 ,2]+(-a[1,2]*a[2,1]*a[3,2]+a[1,2]*a[2,2]*a[3,1]-a[1,2]*a[3,1]*a[3,3]+a[1,3]*a[3 ,1]*a[3,2])*X[2,1]+X[3,1]*(a[1,2]*a[2,3]*a[3,1]-a[1,3]*a[2,1]*a[3,2]) = 0 ------------------------------------ Theorem number, 4, : let, {X[1, 2], X[2, 3], X[3, 1]}, be the entries of an A\ RBITRARY power of the general matrix M, we always have the linear relati\ on (-a[1, 1] a[2, 3] a[3, 1] + a[1, 3] a[2, 1] a[3, 1] - a[2, 1] a[2, 3] a[3, 2] + a[2, 2] a[2, 3] a[3, 1]) X[1, 2] + (a[1, 2] a[2, 1] a[3, 2] - a[1, 2] a[2, 2] a[3, 1] + a[1, 2] a[3, 1] a[3, 3] - a[1, 3] a[3, 1] a[3, 2]) X[2, 3] + X[3, 1] (a[1, 1] a[1, 2] a[2, 3] - a[1, 2] a[1, 3] a[2, 1] - a[1, 2] a[2, 3] a[3, 3] + a[1, 3] a[2, 3] a[3, 2]) = 0 in Maple notation (-a[1,1]*a[2,3]*a[3,1]+a[1,3]*a[2,1]*a[3,1]-a[2,1]*a[2,3]*a[3,2]+a[2,2]*a[2,3]* a[3,1])*X[1,2]+(a[1,2]*a[2,1]*a[3,2]-a[1,2]*a[2,2]*a[3,1]+a[1,2]*a[3,1]*a[3,3]- a[1,3]*a[3,1]*a[3,2])*X[2,3]+X[3,1]*(a[1,1]*a[1,2]*a[2,3]-a[1,2]*a[1,3]*a[2,1]- a[1,2]*a[2,3]*a[3,3]+a[1,3]*a[2,3]*a[3,2]) = 0 --------------------------- This ends this paper that took, 0.124, seconds to produce. There are, 27, directed loop-less graphs with 4 vertices and 4 edges up to is\ omprphism here they are {{[1, 2], [1, 3], [1, 4], [2, 1]}, {[1, 2], [1, 3], [1, 4], [2, 3]}, {[1, 2], [ 1, 3], [2, 1], [2, 3]}, {[1, 2], [1, 3], [2, 1], [2, 4]}, {[1, 2], [1, 3], [2, 1], [3, 1]}, {[1, 2], [1, 3], [2, 1], [3, 2]}, {[1, 2], [1, 3], [2, 1], [3, 4]} , {[1, 2], [1, 3], [2, 1], [4, 1]}, {[1, 2], [1, 3], [2, 1], [4, 2]}, {[1, 2], [1, 3], [2, 1], [4, 3]}, {[1, 2], [1, 3], [2, 3], [2, 4]}, {[1, 2], [1, 3], [2, 3], [3, 2]}, {[1, 2], [1, 3], [2, 3], [3, 4]}, {[1, 2], [1, 3], [2, 3], [4, 1]} , {[1, 2], [1, 3], [2, 3], [4, 2]}, {[1, 2], [1, 3], [2, 3], [4, 3]}, {[1, 2], [1, 3], [2, 4], [3, 4]}, {[1, 2], [1, 3], [2, 4], [4, 1]}, {[1, 2], [1, 3], [2, 4], [4, 2]}, {[1, 2], [1, 3], [2, 4], [4, 3]}, {[1, 2], [1, 3], [4, 2], [4, 3]} , {[1, 2], [2, 1], [3, 1], [4, 1]}, {[1, 2], [2, 1], [3, 1], [4, 2]}, {[1, 2], [2, 1], [3, 1], [4, 3]}, {[1, 2], [2, 1], [3, 4], [4, 3]}, {[1, 2], [2, 3], [3, 1], [4, 1]}, {[1, 2], [2, 3], [3, 4], [4, 1]}} For each of these there is a Larcombe-Fennessey type relations for an n by n\ generic matrix Let M be the generic, 4, by , 4, matrix [a[1, 1] a[1, 2] a[1, 3] a[1, 4]] [ ] [a[2, 1] a[2, 2] a[2, 3] a[2, 4]] [ ] [a[3, 1] a[3, 2] a[3, 3] a[3, 4]] [ ] [a[4, 1] a[4, 2] a[4, 3] a[4, 4]] ------------------------------------ Theorem number, 1, : let, {X[1, 2], X[1, 3], X[1, 4], X[2, 1]}, be the entrie\ s of an ARBITRARY power of the general matrix M, we always have the line\ ar relation 2 2 X[1, 2] (a[1, 2] a[2, 1] a[2, 3] a[3, 4] 2 - a[1, 2] a[2, 1] a[2, 3] a[2, 4] a[3, 3] 2 + a[1, 2] a[2, 1] a[2, 3] a[2, 4] a[4, 4] 2 2 - a[1, 2] a[2, 1] a[2, 4] a[4, 3] - 2 a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[2, 3] a[3, 4] + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[3, 3] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[4, 4] + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[2, 4] a[3, 2] + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 3] a[3, 4] + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 3] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 3] a[4, 4] - 2 a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[3, 4] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[3, 3] - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[2, 3] a[3, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[2, 3] a[4, 4] + 2 a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[2, 4] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[2, 4] a[4, 2] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 4] + 2 a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 4] - a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[3, 3] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 1] + a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 3] a[4, 1] - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 4] a[4, 1] a[4, 3] 2 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 4] 2 - a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[3, 2] 2 - a[1, 3] a[2, 1] a[2, 2] a[3, 3] a[3, 4] 2 - a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 4] 2 + a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[3, 3] 2 + a[1, 3] a[2, 1] a[2, 4] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 4] 2 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 3] 2 + a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[3, 4] 2 + a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 1] 2 - a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[3, 2] 2 - a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 4] 2 2 2 2 + a[1, 3] a[2, 3] a[3, 4] a[4, 1] - a[1, 3] a[2, 4] a[3, 2] a[4, 1] 2 + a[1, 3] a[2, 4] a[3, 1] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 3] 2 + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[2, 3] a[3, 2] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[2, 4] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 3] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[3, 3] - a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 4] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 3] + a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 4] + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[3, 4] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 4] - a[1, 3] a[1, 4] a[2, 1] a[3, 4] a[4, 3] a[4, 4] - a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[3, 3] + a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 4] - a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[3, 3] a[4, 1] + a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[4, 1] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] - a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[3, 1] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 1] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[3, 4] a[4, 1] + a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[3, 3] a[4, 3] + a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 3] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 1] - a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 1] a[4, 4] 2 2 - a[1, 4] a[2, 1] a[2, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[2, 2] a[2, 3] a[4, 2] 2 + a[1, 4] a[2, 1] a[2, 2] a[3, 3] a[4, 3] 2 + a[1, 4] a[2, 1] a[2, 2] a[4, 3] a[4, 4] 2 - a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 3] a[4, 2] a[4, 4] 2 - a[1, 4] a[2, 1] a[3, 3] a[4, 3] a[4, 4] 2 2 + a[1, 4] a[2, 1] a[3, 4] a[4, 3] 2 - a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 3] 2 - a[1, 4] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 2 + a[1, 4] a[2, 3] a[3, 1] a[4, 2] 2 + a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 3] a[3, 1] a[4, 3] a[4, 4] 2 - a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 2 - a[1, 4] a[2, 4] a[3, 1] a[4, 3] 2 + a[1, 4] a[2, 4] a[3, 3] a[4, 1] a[4, 3]) + X[1, 3] ( 2 2 a[1, 2] a[2, 3] a[3, 1] a[3, 4] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[3, 3] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 4] 2 2 - a[1, 2] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[3, 4] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[3, 3] - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 4] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 4] a[4, 2] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[3, 4] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 1] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[3, 2] + a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 1] - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 4] a[4, 3] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 1] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[3, 3] - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 4] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 1] + a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[3, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[3, 2] - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 1] - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 4] + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 4] - a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 4] - a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 4] a[2, 4] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[3, 4] 2 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 2] 2 - a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 4] 2 2 + a[1, 3] a[2, 1] a[3, 4] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 2] a[3, 3] + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 2] - a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[3, 4] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[3, 4] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 1] + a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[3, 3] a[4, 1] + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 4] - a[1, 3] a[1, 4] a[2, 4] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 4] a[2, 1] a[2, 2] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 2] 2 + a[1, 4] a[2, 1] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 4] a[2, 1] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] 2 - a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 4] 2 + a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3]) + X[1, 4] ( 2 2 a[1, 2] a[2, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 4] 2 2 - a[1, 2] a[2, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 3] + a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 2] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 1] a[4, 3] 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 3] + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 4] a[2, 1] a[2, 3] a[4, 2] - a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 3 2 + a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 3]) + (-a[1, 2] a[2, 3] a[3, 4] 3 3 + a[1, 2] a[2, 3] a[2, 4] a[3, 3] - a[1, 2] a[2, 3] a[2, 4] a[4, 4] 3 2 2 + a[1, 2] a[2, 4] a[4, 3] + 2 a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] 2 - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 3] 2 + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 2] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 4] 2 2 2 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 4] 2 + 2 a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 3] 2 + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 4] 2 - 2 a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 3] 2 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 2] 2 + a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 2] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 4] 2 - 2 a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 3] 2 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 4] a[4, 3] a[4, 4] 2 2 - a[1, 2] a[1, 3] a[2, 2] a[3, 4] 2 + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 2] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[3, 4] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[3, 4] 2 - 2 a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[3, 3] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 4] 2 - 2 a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 2] 2 - a[1, 2] a[1, 3] a[3, 3] a[3, 4] a[4, 4] 2 2 + a[1, 2] a[1, 3] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[3, 3] 2 - a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[4, 4] - a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 2] + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[4, 2] 2 - a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[3, 3] 2 + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[3, 3] + 3 a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 2] - 3 a[1, 2] a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 4] a[4, 2] a[4, 4] 2 + a[1, 2] a[1, 3] a[1, 4] a[3, 3] a[4, 4] - a[1, 2] a[1, 3] a[1, 4] a[3, 3] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[1, 4] a[3, 3] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[3, 4] a[4, 3] a[4, 4] 2 2 + a[1, 2] a[1, 4] a[2, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 2] 2 - a[1, 2] a[1, 4] a[2, 2] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 2] a[4, 3] a[4, 4] 2 + 2 a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 2] 2 + 2 a[1, 2] a[1, 4] a[2, 3] a[4, 2] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[3, 3] a[4, 3] a[4, 4] 2 2 3 - a[1, 2] a[1, 4] a[3, 4] a[4, 3] - a[1, 3] a[2, 2] a[3, 2] a[3, 4] 3 2 3 + a[1, 3] a[2, 4] a[3, 2] + a[1, 3] a[3, 2] a[3, 4] a[4, 4] 3 2 2 - a[1, 3] a[3, 4] a[4, 2] + a[1, 3] a[1, 4] a[2, 2] a[3, 2] a[3, 3] 2 - a[1, 3] a[1, 4] a[2, 2] a[3, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 2] a[3, 4] a[4, 2] 2 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 2] 2 + 2 a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 2] 2 - a[1, 3] a[1, 4] a[3, 2] a[3, 3] a[4, 4] 2 - a[1, 3] a[1, 4] a[3, 2] a[3, 4] a[4, 3] 2 2 + a[1, 3] a[1, 4] a[3, 2] a[4, 4] 2 + 2 a[1, 3] a[1, 4] a[3, 3] a[3, 4] a[4, 2] 2 - a[1, 3] a[1, 4] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 2] a[3, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 2] a[3, 3] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 2] a[4, 2] a[4, 4] 2 - 2 a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 2] 2 2 + a[1, 3] a[1, 4] a[2, 4] a[4, 2] 2 + a[1, 3] a[1, 4] a[3, 2] a[3, 3] a[4, 3] 2 - 2 a[1, 3] a[1, 4] a[3, 2] a[4, 3] a[4, 4] 2 2 - a[1, 3] a[1, 4] a[3, 3] a[4, 2] 2 + a[1, 3] a[1, 4] a[3, 3] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[3, 4] a[4, 2] a[4, 3] 3 3 2 + a[1, 4] a[2, 2] a[4, 2] a[4, 3] - a[1, 4] a[2, 3] a[4, 2] 3 2 3 + a[1, 4] a[3, 2] a[4, 3] - a[1, 4] a[3, 3] a[4, 2] a[4, 3]) X[2, 1] = 0 in Maple notation X[1,2]*(a[1,2]^2*a[2,1]*a[2,3]^2*a[3,4]-a[1,2]^2*a[2,1]*a[2,3]*a[2,4]*a[3,3]+a[ 1,2]^2*a[2,1]*a[2,3]*a[2,4]*a[4,4]-a[1,2]^2*a[2,1]*a[2,4]^2*a[4,3]-2*a[1,2]*a[1 ,3]*a[2,1]*a[2,2]*a[2,3]*a[3,4]+a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[2,4]*a[3,3]-a[1,2 ]*a[1,3]*a[2,1]*a[2,2]*a[2,4]*a[4,4]+a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[2,4]*a[3,2]+ a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,3]*a[3,4]+a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,4]*a[ 4,4]+a[1,2]*a[1,3]*a[2,1]*a[2,4]^2*a[4,2]-a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,3]^2+ a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,3]*a[4,4]-2*a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,4]* a[4,3]-a[1,2]*a[1,3]*a[2,3]^2*a[3,1]*a[3,4]+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,1]* a[3,3]-a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[4,4]+a[1,2]*a[1,3]*a[2,4]^2*a[3,1]* a[4,3]+a[1,2]*a[1,4]*a[2,1]*a[2,2]*a[2,3]*a[3,3]-a[1,2]*a[1,4]*a[2,1]*a[2,2]*a[ 2,3]*a[4,4]+2*a[1,2]*a[1,4]*a[2,1]*a[2,2]*a[2,4]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[ 2,3]^2*a[3,2]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[2,4]*a[4,2]-a[1,2]*a[1,4]*a[2,1]*a[ 2,3]*a[3,3]*a[4,4]+2*a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,4]*a[4,3]+a[1,2]*a[1,4]*a[ 2,1]*a[2,3]*a[4,4]^2-a[1,2]*a[1,4]*a[2,1]*a[2,4]*a[3,3]*a[4,3]-a[1,2]*a[1,4]*a[ 2,1]*a[2,4]*a[4,3]*a[4,4]-a[1,2]*a[1,4]*a[2,3]^2*a[3,4]*a[4,1]+a[1,2]*a[1,4]*a[ 2,3]*a[2,4]*a[3,3]*a[4,1]-a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[4,1]*a[4,4]+a[1,2]*a[1, 4]*a[2,4]^2*a[4,1]*a[4,3]+a[1,3]^2*a[2,1]*a[2,2]^2*a[3,4]-a[1,3]^2*a[2,1]*a[2,2 ]*a[2,4]*a[3,2]-a[1,3]^2*a[2,1]*a[2,2]*a[3,3]*a[3,4]-a[1,3]^2*a[2,1]*a[2,2]*a[3 ,4]*a[4,4]+a[1,3]^2*a[2,1]*a[2,4]*a[3,2]*a[3,3]+a[1,3]^2*a[2,1]*a[2,4]*a[3,4]*a [4,2]+a[1,3]^2*a[2,1]*a[3,3]*a[3,4]*a[4,4]-a[1,3]^2*a[2,1]*a[3,4]^2*a[4,3]+a[1, 3]^2*a[2,2]*a[2,3]*a[3,1]*a[3,4]+a[1,3]^2*a[2,2]*a[2,4]*a[3,4]*a[4,1]-a[1,3]^2* a[2,3]*a[2,4]*a[3,1]*a[3,2]-a[1,3]^2*a[2,3]*a[3,1]*a[3,4]*a[4,4]+a[1,3]^2*a[2,3 ]*a[3,4]^2*a[4,1]-a[1,3]^2*a[2,4]^2*a[3,2]*a[4,1]+a[1,3]^2*a[2,4]*a[3,1]*a[3,4] *a[4,3]-a[1,3]^2*a[2,4]*a[3,3]*a[3,4]*a[4,1]-a[1,3]*a[1,4]*a[2,1]*a[2,2]^2*a[3, 3]+a[1,3]*a[1,4]*a[2,1]*a[2,2]^2*a[4,4]+a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[2,3]*a[3, 2]-a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[2,4]*a[4,2]+a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[3,3] ^2-a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[4,4]^2-a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[3, 3]-a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[3,4]*a[4,2]+a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[3,2] *a[4,3]+a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[4,2]*a[4,4]-a[1,3]*a[1,4]*a[2,1]*a[3,3]^2 *a[4,4]+a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[3,4]*a[4,3]+a[1,3]*a[1,4]*a[2,1]*a[3,3]*a [4,4]^2-a[1,3]*a[1,4]*a[2,1]*a[3,4]*a[4,3]*a[4,4]-a[1,3]*a[1,4]*a[2,2]*a[2,3]*a [3,1]*a[3,3]+a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[3,1]*a[4,4]-a[1,3]*a[1,4]*a[2,2]*a[2 ,4]*a[3,3]*a[4,1]+a[1,3]*a[1,4]*a[2,2]*a[2,4]*a[4,1]*a[4,4]+a[1,3]*a[1,4]*a[2,3 ]^2*a[3,1]*a[3,2]-a[1,3]*a[1,4]*a[2,3]*a[2,4]*a[3,1]*a[4,2]+a[1,3]*a[1,4]*a[2,3 ]*a[2,4]*a[3,2]*a[4,1]+a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,3]*a[4,4]-a[1,3]*a[1,4]* a[2,3]*a[3,1]*a[4,4]^2-a[1,3]*a[1,4]*a[2,3]*a[3,3]*a[3,4]*a[4,1]+a[1,3]*a[1,4]* a[2,3]*a[3,4]*a[4,1]*a[4,4]-a[1,3]*a[1,4]*a[2,4]^2*a[4,1]*a[4,2]-a[1,3]*a[1,4]* a[2,4]*a[3,1]*a[3,3]*a[4,3]+a[1,3]*a[1,4]*a[2,4]*a[3,1]*a[4,3]*a[4,4]+a[1,3]*a[ 1,4]*a[2,4]*a[3,3]^2*a[4,1]-a[1,3]*a[1,4]*a[2,4]*a[3,3]*a[4,1]*a[4,4]-a[1,4]^2* a[2,1]*a[2,2]^2*a[4,3]+a[1,4]^2*a[2,1]*a[2,2]*a[2,3]*a[4,2]+a[1,4]^2*a[2,1]*a[2 ,2]*a[3,3]*a[4,3]+a[1,4]^2*a[2,1]*a[2,2]*a[4,3]*a[4,4]-a[1,4]^2*a[2,1]*a[2,3]*a [3,2]*a[4,3]-a[1,4]^2*a[2,1]*a[2,3]*a[4,2]*a[4,4]-a[1,4]^2*a[2,1]*a[3,3]*a[4,3] *a[4,4]+a[1,4]^2*a[2,1]*a[3,4]*a[4,3]^2-a[1,4]^2*a[2,2]*a[2,3]*a[3,1]*a[4,3]-a[ 1,4]^2*a[2,2]*a[2,4]*a[4,1]*a[4,3]+a[1,4]^2*a[2,3]^2*a[3,1]*a[4,2]+a[1,4]^2*a[2 ,3]*a[2,4]*a[4,1]*a[4,2]+a[1,4]^2*a[2,3]*a[3,1]*a[4,3]*a[4,4]-a[1,4]^2*a[2,3]*a [3,4]*a[4,1]*a[4,3]-a[1,4]^2*a[2,4]*a[3,1]*a[4,3]^2+a[1,4]^2*a[2,4]*a[3,3]*a[4, 1]*a[4,3])+X[1,3]*(a[1,2]^2*a[2,3]^2*a[3,1]*a[3,4]-a[1,2]^2*a[2,3]*a[2,4]*a[3,1 ]*a[3,3]+a[1,2]^2*a[2,3]*a[2,4]*a[3,1]*a[4,4]-a[1,2]^2*a[2,4]^2*a[3,1]*a[4,3]-a [1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,2]*a[3,4]+a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[3 ,3]-a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[4,4]+a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,4 ]*a[4,2]-a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,1]*a[3,4]-a[1,2]*a[1,3]*a[2,2]*a[2,4]* a[3,4]*a[4,1]+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[3,2]+a[1,2]*a[1,3]*a[2,3]*a[ 3,1]*a[3,4]*a[4,4]-a[1,2]*a[1,3]*a[2,3]*a[3,4]^2*a[4,1]+a[1,2]*a[1,3]*a[2,4]^2* a[3,2]*a[4,1]-a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[3,4]*a[4,3]+a[1,2]*a[1,3]*a[2,4]*a[ 3,3]*a[3,4]*a[4,1]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,4]*a[4,2]+a[1,2]*a[1,4]*a[2, 1]*a[2,4]*a[3,2]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,1]*a[3,3]-a[1,2]*a[1,4] *a[2,2]*a[2,3]*a[3,1]*a[4,4]+a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,4]*a[4,1]+a[1,2]*a [1,4]*a[2,2]*a[2,4]*a[3,1]*a[4,3]-a[1,2]*a[1,4]*a[2,3]^2*a[3,1]*a[3,2]-a[1,2]*a [1,4]*a[2,3]*a[2,4]*a[3,2]*a[4,1]-a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[3,3]*a[4,4]+a[1 ,2]*a[1,4]*a[2,3]*a[3,1]*a[3,4]*a[4,3]+a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[4,4]^2-a[1 ,2]*a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,4]-a[1,2]*a[1,4]*a[2,4]*a[3,1]*a[4,3]*a[4,4 ]+a[1,2]*a[1,4]*a[2,4]*a[3,4]*a[4,1]*a[4,3]+a[1,3]^2*a[2,1]*a[2,2]*a[3,2]*a[3,4 ]-a[1,3]^2*a[2,1]*a[2,4]*a[3,2]^2-a[1,3]^2*a[2,1]*a[3,2]*a[3,4]*a[4,4]+a[1,3]^2 *a[2,1]*a[3,4]^2*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[3,2]*a[3,3]+a[1,3]*a[1,4] *a[2,1]*a[2,2]*a[3,2]*a[4,4]+a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[3,2]^2-a[1,3]*a[1,4] *a[2,1]*a[2,4]*a[3,2]*a[4,2]+a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[3,3]*a[4,4]-a[1,3]*a [1,4]*a[2,1]*a[3,2]*a[4,4]^2-a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[3,4]*a[4,2]+a[1,3]*a [1,4]*a[2,1]*a[3,4]*a[4,2]*a[4,4]-a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,4]*a[4,2]+a[1 ,3]*a[1,4]*a[2,3]*a[3,2]*a[3,4]*a[4,1]+a[1,3]*a[1,4]*a[2,4]*a[3,1]*a[3,2]*a[4,3 ]-a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[3,3]*a[4,1]+a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,1]* a[4,4]-a[1,3]*a[1,4]*a[2,4]*a[3,4]*a[4,1]*a[4,2]-a[1,4]^2*a[2,1]*a[2,2]*a[3,2]* a[4,3]+a[1,4]^2*a[2,1]*a[2,3]*a[3,2]*a[4,2]+a[1,4]^2*a[2,1]*a[3,2]*a[4,3]*a[4,4 ]-a[1,4]^2*a[2,1]*a[3,4]*a[4,2]*a[4,3]-a[1,4]^2*a[2,3]*a[3,1]*a[3,2]*a[4,3]+a[1 ,4]^2*a[2,3]*a[3,1]*a[3,3]*a[4,2]-a[1,4]^2*a[2,3]*a[3,1]*a[4,2]*a[4,4]+a[1,4]^2 *a[2,3]*a[3,4]*a[4,1]*a[4,2]+a[1,4]^2*a[2,4]*a[3,1]*a[4,2]*a[4,3]-a[1,4]^2*a[2, 4]*a[3,2]*a[4,1]*a[4,3])+X[1,4]*(a[1,2]^2*a[2,3]^2*a[3,4]*a[4,1]-a[1,2]^2*a[2,3 ]*a[2,4]*a[3,3]*a[4,1]+a[1,2]^2*a[2,3]*a[2,4]*a[4,1]*a[4,4]-a[1,2]^2*a[2,4]^2*a [4,1]*a[4,3]-a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,4]*a[4,2]+a[1,2]*a[1,3]*a[2,1]*a[2 ,4]*a[3,2]*a[4,3]-a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,1]-a[1,2]*a[1,3]*a[2,2 ]*a[2,4]*a[3,1]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,3]*a[4,1]-a[1,2]*a[1,3]* a[2,2]*a[2,4]*a[4,1]*a[4,4]+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[4,2]-a[1,2]*a[ 1,3]*a[2,3]*a[3,1]*a[3,4]*a[4,3]+a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[3,4]*a[4,1]+a[1, 2]*a[1,3]*a[2,4]^2*a[4,1]*a[4,2]+a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[3,3]*a[4,3]-a[1, 2]*a[1,3]*a[2,4]*a[3,3]^2*a[4,1]+a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,1]*a[4,4]-a[1, 2]*a[1,3]*a[2,4]*a[3,4]*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[4,3] +a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,3]*a[4,2]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[4,2]*a [4,4]+a[1,2]*a[1,4]*a[2,1]*a[2,4]*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3 ,1]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,4]*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,3]^2*a[3 ,1]*a[4,2]-a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[4,1]*a[4,2]-a[1,2]*a[1,4]*a[2,3]*a[3,1 ]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,3]+a[1,2]*a[1,4]*a[2,4]* a[3,1]*a[4,3]^2-a[1,2]*a[1,4]*a[2,4]*a[3,3]*a[4,1]*a[4,3]+a[1,3]^2*a[2,1]*a[2,2 ]*a[3,4]*a[4,2]-a[1,3]^2*a[2,1]*a[2,4]*a[3,2]*a[4,2]+a[1,3]^2*a[2,1]*a[3,2]*a[3 ,4]*a[4,3]-a[1,3]^2*a[2,1]*a[3,3]*a[3,4]*a[4,2]+a[1,3]^2*a[2,3]*a[3,1]*a[3,4]*a [4,2]-a[1,3]^2*a[2,3]*a[3,2]*a[3,4]*a[4,1]-a[1,3]^2*a[2,4]*a[3,1]*a[3,2]*a[4,3] +a[1,3]^2*a[2,4]*a[3,2]*a[3,3]*a[4,1]-a[1,3]^2*a[2,4]*a[3,2]*a[4,1]*a[4,4]+a[1, 3]^2*a[2,4]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[3,3]*a[4,2]+a[1, 3]*a[1,4]*a[2,1]*a[2,2]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[4,2] -a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[4,2]^2-a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[3,3]*a[4,3] +a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[4,3]*a[4,4]+a[1,3]*a[1,4]*a[2,1]*a[3,3]^2*a[4,2] -a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,2]*a [4,3]-a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,3]*a[4,2]+a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[4 ,2]*a[4,4]-a[1,3]*a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,4]*a[3,1 ]*a[4,2]*a[4,3]+a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,1]*a[4,3]-a[1,4]^2*a[2,1]*a[2,2 ]*a[4,2]*a[4,3]+a[1,4]^2*a[2,1]*a[2,3]*a[4,2]^2-a[1,4]^2*a[2,1]*a[3,2]*a[4,3]^2 +a[1,4]^2*a[2,1]*a[3,3]*a[4,2]*a[4,3])+(-a[1,2]^3*a[2,3]^2*a[3,4]+a[1,2]^3*a[2, 3]*a[2,4]*a[3,3]-a[1,2]^3*a[2,3]*a[2,4]*a[4,4]+a[1,2]^3*a[2,4]^2*a[4,3]+2*a[1,2 ]^2*a[1,3]*a[2,2]*a[2,3]*a[3,4]-a[1,2]^2*a[1,3]*a[2,2]*a[2,4]*a[3,3]+a[1,2]^2*a [1,3]*a[2,2]*a[2,4]*a[4,4]-a[1,2]^2*a[1,3]*a[2,3]*a[2,4]*a[3,2]-a[1,2]^2*a[1,3] *a[2,3]*a[3,3]*a[3,4]-a[1,2]^2*a[1,3]*a[2,3]*a[3,4]*a[4,4]-a[1,2]^2*a[1,3]*a[2, 4]^2*a[4,2]+a[1,2]^2*a[1,3]*a[2,4]*a[3,3]^2-a[1,2]^2*a[1,3]*a[2,4]*a[3,3]*a[4,4 ]+2*a[1,2]^2*a[1,3]*a[2,4]*a[3,4]*a[4,3]-a[1,2]^2*a[1,4]*a[2,2]*a[2,3]*a[3,3]+a [1,2]^2*a[1,4]*a[2,2]*a[2,3]*a[4,4]-2*a[1,2]^2*a[1,4]*a[2,2]*a[2,4]*a[4,3]+a[1, 2]^2*a[1,4]*a[2,3]^2*a[3,2]+a[1,2]^2*a[1,4]*a[2,3]*a[2,4]*a[4,2]+a[1,2]^2*a[1,4 ]*a[2,3]*a[3,3]*a[4,4]-2*a[1,2]^2*a[1,4]*a[2,3]*a[3,4]*a[4,3]-a[1,2]^2*a[1,4]*a [2,3]*a[4,4]^2+a[1,2]^2*a[1,4]*a[2,4]*a[3,3]*a[4,3]+a[1,2]^2*a[1,4]*a[2,4]*a[4, 3]*a[4,4]-a[1,2]*a[1,3]^2*a[2,2]^2*a[3,4]+a[1,2]*a[1,3]^2*a[2,2]*a[2,4]*a[3,2]+ a[1,2]*a[1,3]^2*a[2,2]*a[3,3]*a[3,4]+a[1,2]*a[1,3]^2*a[2,2]*a[3,4]*a[4,4]+a[1,2 ]*a[1,3]^2*a[2,3]*a[3,2]*a[3,4]-2*a[1,2]*a[1,3]^2*a[2,4]*a[3,2]*a[3,3]+a[1,2]*a [1,3]^2*a[2,4]*a[3,2]*a[4,4]-2*a[1,2]*a[1,3]^2*a[2,4]*a[3,4]*a[4,2]-a[1,2]*a[1, 3]^2*a[3,3]*a[3,4]*a[4,4]+a[1,2]*a[1,3]^2*a[3,4]^2*a[4,3]+a[1,2]*a[1,3]*a[1,4]* a[2,2]^2*a[3,3]-a[1,2]*a[1,3]*a[1,4]*a[2,2]^2*a[4,4]-a[1,2]*a[1,3]*a[1,4]*a[2,2 ]*a[2,3]*a[3,2]+a[1,2]*a[1,3]*a[1,4]*a[2,2]*a[2,4]*a[4,2]-a[1,2]*a[1,3]*a[1,4]* a[2,2]*a[3,3]^2+a[1,2]*a[1,3]*a[1,4]*a[2,2]*a[4,4]^2+a[1,2]*a[1,3]*a[1,4]*a[2,3 ]*a[3,2]*a[3,3]+3*a[1,2]*a[1,3]*a[1,4]*a[2,3]*a[3,4]*a[4,2]-3*a[1,2]*a[1,3]*a[1 ,4]*a[2,4]*a[3,2]*a[4,3]-a[1,2]*a[1,3]*a[1,4]*a[2,4]*a[4,2]*a[4,4]+a[1,2]*a[1,3 ]*a[1,4]*a[3,3]^2*a[4,4]-a[1,2]*a[1,3]*a[1,4]*a[3,3]*a[3,4]*a[4,3]-a[1,2]*a[1,3 ]*a[1,4]*a[3,3]*a[4,4]^2+a[1,2]*a[1,3]*a[1,4]*a[3,4]*a[4,3]*a[4,4]+a[1,2]*a[1,4 ]^2*a[2,2]^2*a[4,3]-a[1,2]*a[1,4]^2*a[2,2]*a[2,3]*a[4,2]-a[1,2]*a[1,4]^2*a[2,2] *a[3,3]*a[4,3]-a[1,2]*a[1,4]^2*a[2,2]*a[4,3]*a[4,4]+2*a[1,2]*a[1,4]^2*a[2,3]*a[ 3,2]*a[4,3]-a[1,2]*a[1,4]^2*a[2,3]*a[3,3]*a[4,2]+2*a[1,2]*a[1,4]^2*a[2,3]*a[4,2 ]*a[4,4]-a[1,2]*a[1,4]^2*a[2,4]*a[4,2]*a[4,3]+a[1,2]*a[1,4]^2*a[3,3]*a[4,3]*a[4 ,4]-a[1,2]*a[1,4]^2*a[3,4]*a[4,3]^2-a[1,3]^3*a[2,2]*a[3,2]*a[3,4]+a[1,3]^3*a[2, 4]*a[3,2]^2+a[1,3]^3*a[3,2]*a[3,4]*a[4,4]-a[1,3]^3*a[3,4]^2*a[4,2]+a[1,3]^2*a[1 ,4]*a[2,2]*a[3,2]*a[3,3]-a[1,3]^2*a[1,4]*a[2,2]*a[3,2]*a[4,4]-a[1,3]^2*a[1,4]*a [2,2]*a[3,4]*a[4,2]-a[1,3]^2*a[1,4]*a[2,3]*a[3,2]^2+2*a[1,3]^2*a[1,4]*a[2,4]*a[ 3,2]*a[4,2]-a[1,3]^2*a[1,4]*a[3,2]*a[3,3]*a[4,4]-a[1,3]^2*a[1,4]*a[3,2]*a[3,4]* a[4,3]+a[1,3]^2*a[1,4]*a[3,2]*a[4,4]^2+2*a[1,3]^2*a[1,4]*a[3,3]*a[3,4]*a[4,2]-a [1,3]^2*a[1,4]*a[3,4]*a[4,2]*a[4,4]+a[1,3]*a[1,4]^2*a[2,2]*a[3,2]*a[4,3]+a[1,3] *a[1,4]^2*a[2,2]*a[3,3]*a[4,2]-a[1,3]*a[1,4]^2*a[2,2]*a[4,2]*a[4,4]-2*a[1,3]*a[ 1,4]^2*a[2,3]*a[3,2]*a[4,2]+a[1,3]*a[1,4]^2*a[2,4]*a[4,2]^2+a[1,3]*a[1,4]^2*a[3 ,2]*a[3,3]*a[4,3]-2*a[1,3]*a[1,4]^2*a[3,2]*a[4,3]*a[4,4]-a[1,3]*a[1,4]^2*a[3,3] ^2*a[4,2]+a[1,3]*a[1,4]^2*a[3,3]*a[4,2]*a[4,4]+a[1,3]*a[1,4]^2*a[3,4]*a[4,2]*a[ 4,3]+a[1,4]^3*a[2,2]*a[4,2]*a[4,3]-a[1,4]^3*a[2,3]*a[4,2]^2+a[1,4]^3*a[3,2]*a[4 ,3]^2-a[1,4]^3*a[3,3]*a[4,2]*a[4,3])*X[2,1] = 0 ------------------------------------ Theorem number, 2, : let, {X[1, 2], X[1, 3], X[1, 4], X[2, 3]}, be the entrie\ s of an ARBITRARY power of the general matrix M, we always have the line\ ar relation 2 (a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 4] - a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 4] 2 - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[3, 4] 2 + a[1, 1] a[1, 3] a[2, 3] a[2, 4] a[3, 2] 2 + a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 4] 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 4] a[4, 3] + a[1, 1] a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 3] - a[1, 1] a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[4, 4] 2 - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 2] + a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[4, 2] - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 4] 2 + a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[4, 4] + a[1, 1] a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 3] - a[1, 1] a[1, 3] a[1, 4] a[2, 4] a[4, 3] a[4, 4] 2 + a[1, 1] a[1, 4] a[2, 2] a[2, 3] a[4, 3] 2 2 - a[1, 1] a[1, 4] a[2, 3] a[4, 2] 2 - a[1, 1] a[1, 4] a[2, 3] a[4, 3] a[4, 4] 2 2 2 3 + a[1, 1] a[1, 4] a[2, 4] a[4, 3] + a[1, 2] a[2, 3] a[3, 4] 2 2 2 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 3] + a[1, 2] a[2, 3] a[2, 4] a[4, 4] 2 2 - a[1, 2] a[2, 3] a[2, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 4] 2 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 1] + 2 a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 3] - 2 a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[4, 1] 2 - 2 a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] + a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[2, 4] a[3, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[2, 4] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 2] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 2] - 2 a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 3] 2 2 + a[1, 2] a[1, 4] a[2, 3] a[4, 1] 2 + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 3] 2 - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 4] + 2 a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[2, 4] a[4, 3] 3 - a[1, 2] a[1, 4] a[2, 3] a[3, 2] 2 - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 2] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 3] 2 2 + a[1, 2] a[1, 4] a[2, 3] a[4, 4] - 2 a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 3] a[4, 4] 2 2 3 + a[1, 2] a[1, 4] a[2, 4] a[4, 3] + a[1, 3] a[2, 1] a[2, 2] a[3, 4] 3 3 - a[1, 3] a[2, 1] a[2, 4] a[3, 2] - a[1, 3] a[2, 1] a[3, 4] a[4, 4] 3 + a[1, 3] a[2, 4] a[3, 4] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 3] 2 + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 2] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 4] a[4, 3] 2 2 - a[1, 3] a[1, 4] a[2, 1] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 1] 2 + a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 4] 2 2 + a[1, 3] a[2, 2] a[2, 3] a[3, 4] 2 - a[1, 3] a[2, 2] a[2, 3] a[2, 4] a[3, 2] 2 - a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 4] 2 + a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 3] 2 + a[1, 3] a[2, 3] a[2, 4] a[3, 4] a[4, 2] 2 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 3] 2 + 2 a[1, 3] a[1, 4] a[2, 1] a[4, 3] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 3] a[4, 1] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 3] 2 + a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 2] - a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[2, 4] a[4, 2] + a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 3] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[4, 4] - a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[3, 3] a[4, 3] + a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[4, 3] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 2] + 2 a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[4, 2] a[4, 4] 2 3 2 - a[1, 3] a[1, 4] a[2, 4] a[4, 2] a[4, 3] - a[1, 4] a[2, 1] a[4, 3] 3 2 2 + a[1, 4] a[2, 3] a[4, 1] a[4, 3] - a[1, 4] a[2, 2] a[2, 3] a[4, 3] 2 2 + a[1, 4] a[2, 2] a[2, 3] a[4, 2] 2 + a[1, 4] a[2, 2] a[2, 3] a[4, 3] a[4, 4] 2 2 2 2 - a[1, 4] a[2, 2] a[2, 4] a[4, 3] - a[1, 4] a[2, 3] a[3, 2] a[4, 3] 2 2 2 2 + a[1, 4] a[2, 3] a[3, 3] a[4, 2] - a[1, 4] a[2, 3] a[4, 2] a[4, 4] 2 + a[1, 4] a[2, 3] a[2, 4] a[4, 2] a[4, 3]) X[1, 2] + ( 2 2 -a[1, 1] a[1, 2] a[2, 3] a[3, 4] 2 + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 3] 2 - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[4, 4] 2 2 + a[1, 1] a[1, 2] a[2, 4] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] - a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 2] - a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 3] + a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 4] - a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 3] 2 + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[3, 2] + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 4] - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 3] 2 - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[4, 4] + a[1, 1] a[1, 2] a[1, 4] a[2, 4] a[4, 3] a[4, 4] + a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 2] - a[1, 1] a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 1] a[1, 4] a[2, 3] a[3, 2] a[4, 3] 2 - a[1, 1] a[1, 4] a[2, 3] a[3, 3] a[4, 2] 2 + a[1, 1] a[1, 4] a[2, 3] a[4, 2] a[4, 4] 2 - a[1, 1] a[1, 4] a[2, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 4] 2 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 1] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 1] 2 2 2 2 + a[1, 2] a[2, 3] a[3, 3] a[3, 4] - a[1, 2] a[2, 3] a[2, 4] a[3, 3] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 4] 2 2 - a[1, 2] a[2, 4] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 4] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 2] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 1] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 4] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 2] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[4, 1] + a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 3] a[3, 4] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[3, 4] + 2 a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[3, 3] - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 4] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 1] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 1] 2 + a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 3] - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 3] a[4, 4] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[3, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 4] + a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 4] - a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 3] a[4, 4] - a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 4] a[3, 4] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 4] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 1] 2 + a[1, 3] a[2, 2] a[2, 3] a[3, 2] a[3, 4] 2 2 - a[1, 3] a[2, 3] a[2, 4] a[3, 2] 2 - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 4] 2 2 + a[1, 3] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 1] 2 + a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 2] a[3, 3] + a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 2] a[4, 4] 2 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 2] - a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[3, 3] a[4, 4] + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 4] - 2 a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[3, 4] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] a[4, 4] - a[1, 3] a[1, 4] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 3 3 + a[1, 4] a[2, 1] a[4, 2] a[4, 3] - a[1, 4] a[2, 3] a[4, 1] a[4, 2] 2 - a[1, 4] a[2, 2] a[2, 3] a[3, 2] a[4, 3] 2 2 + a[1, 4] a[2, 3] a[3, 2] a[4, 2] 2 - a[1, 4] a[2, 3] a[3, 2] a[3, 3] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 2] a[4, 3] a[4, 4] 2 2 + a[1, 4] a[2, 3] a[3, 3] a[4, 2] 2 - a[1, 4] a[2, 3] a[3, 3] a[4, 2] a[4, 4] 2 2 - a[1, 4] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 3]) X[1, 3] + X[1, 4] ( a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 3] 2 + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[4, 2] + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[4, 3] a[4, 4] 2 - a[1, 1] a[1, 2] a[1, 4] a[2, 4] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 3] + a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 2] - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[4, 2] a[4, 4] + a[1, 1] a[1, 3] a[1, 4] a[2, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 1] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 3] 2 2 2 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 1] + a[1, 2] a[2, 3] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 3] 2 2 2 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 3] a[4, 4] - a[1, 2] a[2, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[4, 2] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[4, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 3] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 3] 2 2 + a[1, 2] a[1, 4] a[2, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 3] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 2] a[4, 4] - a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 3] 3 3 + a[1, 3] a[2, 1] a[3, 4] a[4, 2] - a[1, 3] a[2, 4] a[3, 2] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 2] 2 + a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 3] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 3] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 4] a[2, 2] a[2, 3] a[4, 2] a[4, 3] + a[1, 4] a[2, 3] a[4, 2] 2 2 - a[1, 4] a[2, 3] a[3, 2] a[4, 3] 2 3 2 + a[1, 4] a[2, 3] a[3, 3] a[4, 2] a[4, 3]) + (-a[1, 2] a[2, 3] a[3, 4] 3 3 + a[1, 2] a[2, 3] a[2, 4] a[3, 3] - a[1, 2] a[2, 3] a[2, 4] a[4, 4] 3 2 2 + a[1, 2] a[2, 4] a[4, 3] + 2 a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] 2 - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 3] 2 + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 2] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 4] 2 2 2 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 4] 2 + 2 a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 3] 2 + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 4] 2 - 2 a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 3] 2 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 2] 2 + a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 2] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 4] 2 - 2 a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 3] 2 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 4] a[4, 3] a[4, 4] 2 2 - a[1, 2] a[1, 3] a[2, 2] a[3, 4] 2 + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 2] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[3, 4] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[3, 4] 2 - 2 a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[3, 3] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 4] 2 - 2 a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 2] 2 - a[1, 2] a[1, 3] a[3, 3] a[3, 4] a[4, 4] 2 2 + a[1, 2] a[1, 3] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[3, 3] 2 - a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[4, 4] - a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 2] + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[4, 2] 2 - a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[3, 3] 2 + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[3, 3] + 3 a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 2] - 3 a[1, 2] a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 4] a[4, 2] a[4, 4] 2 + a[1, 2] a[1, 3] a[1, 4] a[3, 3] a[4, 4] - a[1, 2] a[1, 3] a[1, 4] a[3, 3] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[1, 4] a[3, 3] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[3, 4] a[4, 3] a[4, 4] 2 2 + a[1, 2] a[1, 4] a[2, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 2] 2 - a[1, 2] a[1, 4] a[2, 2] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 2] a[4, 3] a[4, 4] 2 + 2 a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 2] 2 + 2 a[1, 2] a[1, 4] a[2, 3] a[4, 2] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[3, 3] a[4, 3] a[4, 4] 2 2 3 - a[1, 2] a[1, 4] a[3, 4] a[4, 3] - a[1, 3] a[2, 2] a[3, 2] a[3, 4] 3 2 3 + a[1, 3] a[2, 4] a[3, 2] + a[1, 3] a[3, 2] a[3, 4] a[4, 4] 3 2 2 - a[1, 3] a[3, 4] a[4, 2] + a[1, 3] a[1, 4] a[2, 2] a[3, 2] a[3, 3] 2 - a[1, 3] a[1, 4] a[2, 2] a[3, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 2] a[3, 4] a[4, 2] 2 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 2] 2 + 2 a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 2] 2 - a[1, 3] a[1, 4] a[3, 2] a[3, 3] a[4, 4] 2 - a[1, 3] a[1, 4] a[3, 2] a[3, 4] a[4, 3] 2 2 + a[1, 3] a[1, 4] a[3, 2] a[4, 4] 2 + 2 a[1, 3] a[1, 4] a[3, 3] a[3, 4] a[4, 2] 2 - a[1, 3] a[1, 4] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 2] a[3, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 2] a[3, 3] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 2] a[4, 2] a[4, 4] 2 - 2 a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 2] 2 2 + a[1, 3] a[1, 4] a[2, 4] a[4, 2] 2 + a[1, 3] a[1, 4] a[3, 2] a[3, 3] a[4, 3] 2 - 2 a[1, 3] a[1, 4] a[3, 2] a[4, 3] a[4, 4] 2 2 - a[1, 3] a[1, 4] a[3, 3] a[4, 2] 2 + a[1, 3] a[1, 4] a[3, 3] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[3, 4] a[4, 2] a[4, 3] 3 3 2 + a[1, 4] a[2, 2] a[4, 2] a[4, 3] - a[1, 4] a[2, 3] a[4, 2] 3 2 3 + a[1, 4] a[3, 2] a[4, 3] - a[1, 4] a[3, 3] a[4, 2] a[4, 3]) X[2, 3] = 0 in Maple notation (a[1,1]*a[1,2]*a[1,3]*a[2,3]^2*a[3,4]-a[1,1]*a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,3] +a[1,1]*a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[4,4]-a[1,1]*a[1,2]*a[1,3]*a[2,4]^2*a[4,3] -a[1,1]*a[1,3]^2*a[2,2]*a[2,3]*a[3,4]+a[1,1]*a[1,3]^2*a[2,3]*a[2,4]*a[3,2]+a[1, 1]*a[1,3]^2*a[2,3]*a[3,4]*a[4,4]-a[1,1]*a[1,3]^2*a[2,4]*a[3,4]*a[4,3]+a[1,1]*a[ 1,3]*a[1,4]*a[2,2]*a[2,3]*a[3,3]-a[1,1]*a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[4,4]-a[1, 1]*a[1,3]*a[1,4]*a[2,3]^2*a[3,2]+a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[2,4]*a[4,2]-a[1, 1]*a[1,3]*a[1,4]*a[2,3]*a[3,3]*a[4,4]+a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[4,4]^2+a[1, 1]*a[1,3]*a[1,4]*a[2,4]*a[3,3]*a[4,3]-a[1,1]*a[1,3]*a[1,4]*a[2,4]*a[4,3]*a[4,4] +a[1,1]*a[1,4]^2*a[2,2]*a[2,3]*a[4,3]-a[1,1]*a[1,4]^2*a[2,3]^2*a[4,2]-a[1,1]*a[ 1,4]^2*a[2,3]*a[4,3]*a[4,4]+a[1,1]*a[1,4]^2*a[2,4]*a[4,3]^2+a[1,2]^2*a[2,3]^3*a [3,4]-a[1,2]^2*a[2,3]^2*a[2,4]*a[3,3]+a[1,2]^2*a[2,3]^2*a[2,4]*a[4,4]-a[1,2]^2* a[2,3]*a[2,4]^2*a[4,3]-a[1,2]*a[1,3]^2*a[2,1]*a[2,3]*a[3,4]+a[1,2]*a[1,3]^2*a[2 ,1]*a[2,4]*a[3,3]-a[1,2]*a[1,3]^2*a[2,1]*a[2,4]*a[4,4]+a[1,2]*a[1,3]^2*a[2,4]^2 *a[4,1]+2*a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[4,3]-2*a[1,2]*a[1,3]*a[1,4]*a[2, 3]*a[2,4]*a[4,1]-2*a[1,2]*a[1,3]*a[2,2]*a[2,3]^2*a[3,4]+a[1,2]*a[1,3]*a[2,2]*a[ 2,3]*a[2,4]*a[3,3]-a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[2,4]*a[4,4]+a[1,2]*a[1,3]*a[2, 3]^2*a[2,4]*a[3,2]+a[1,2]*a[1,3]*a[2,3]^2*a[3,4]*a[4,4]+a[1,2]*a[1,3]*a[2,3]*a[ 2,4]^2*a[4,2]-2*a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,4]*a[4,3]+a[1,2]*a[1,3]*a[2,4]^ 2*a[3,3]*a[4,3]-a[1,2]*a[1,4]^2*a[2,1]*a[2,3]*a[4,3]+a[1,2]*a[1,4]^2*a[2,3]^2*a [4,1]+a[1,2]*a[1,4]*a[2,2]*a[2,3]^2*a[3,3]-a[1,2]*a[1,4]*a[2,2]*a[2,3]^2*a[4,4] +2*a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[2,4]*a[4,3]-a[1,2]*a[1,4]*a[2,3]^3*a[3,2]-a[1, 2]*a[1,4]*a[2,3]^2*a[2,4]*a[4,2]-a[1,2]*a[1,4]*a[2,3]^2*a[3,3]*a[4,4]+a[1,2]*a[ 1,4]*a[2,3]^2*a[3,4]*a[4,3]+a[1,2]*a[1,4]*a[2,3]^2*a[4,4]^2-2*a[1,2]*a[1,4]*a[2 ,3]*a[2,4]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,4]^2*a[4,3]^2+a[1,3]^3*a[2,1]*a[2,2] *a[3,4]-a[1,3]^3*a[2,1]*a[2,4]*a[3,2]-a[1,3]^3*a[2,1]*a[3,4]*a[4,4]+a[1,3]^3*a[ 2,4]*a[3,4]*a[4,1]-a[1,3]^2*a[1,4]*a[2,1]*a[2,2]*a[3,3]+a[1,3]^2*a[1,4]*a[2,1]* a[2,2]*a[4,4]+a[1,3]^2*a[1,4]*a[2,1]*a[2,3]*a[3,2]-a[1,3]^2*a[1,4]*a[2,1]*a[2,4 ]*a[4,2]+a[1,3]^2*a[1,4]*a[2,1]*a[3,3]*a[4,4]+a[1,3]^2*a[1,4]*a[2,1]*a[3,4]*a[4 ,3]-a[1,3]^2*a[1,4]*a[2,1]*a[4,4]^2-a[1,3]^2*a[1,4]*a[2,3]*a[3,4]*a[4,1]-a[1,3] ^2*a[1,4]*a[2,4]*a[3,3]*a[4,1]+a[1,3]^2*a[1,4]*a[2,4]*a[4,1]*a[4,4]+a[1,3]^2*a[ 2,2]^2*a[2,3]*a[3,4]-a[1,3]^2*a[2,2]*a[2,3]*a[2,4]*a[3,2]-a[1,3]^2*a[2,2]*a[2,3 ]*a[3,4]*a[4,4]+a[1,3]^2*a[2,2]*a[2,4]*a[3,4]*a[4,3]+a[1,3]^2*a[2,3]*a[2,4]*a[3 ,4]*a[4,2]-a[1,3]^2*a[2,4]^2*a[3,2]*a[4,3]-a[1,3]*a[1,4]^2*a[2,1]*a[2,2]*a[4,3] +a[1,3]*a[1,4]^2*a[2,1]*a[2,3]*a[4,2]-a[1,3]*a[1,4]^2*a[2,1]*a[3,3]*a[4,3]+2*a[ 1,3]*a[1,4]^2*a[2,1]*a[4,3]*a[4,4]+a[1,3]*a[1,4]^2*a[2,3]*a[3,3]*a[4,1]-a[1,3]* a[1,4]^2*a[2,3]*a[4,1]*a[4,4]-a[1,3]*a[1,4]^2*a[2,4]*a[4,1]*a[4,3]-a[1,3]*a[1,4 ]*a[2,2]^2*a[2,3]*a[3,3]+a[1,3]*a[1,4]*a[2,2]^2*a[2,3]*a[4,4]+a[1,3]*a[1,4]*a[2 ,2]*a[2,3]^2*a[3,2]-a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[2,4]*a[4,2]+a[1,3]*a[1,4]*a[2 ,2]*a[2,3]*a[3,3]*a[4,4]-a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[4,4]^2-a[1,3]*a[1,4]*a[2 ,2]*a[2,4]*a[3,3]*a[4,3]+a[1,3]*a[1,4]*a[2,2]*a[2,4]*a[4,3]*a[4,4]-a[1,3]*a[1,4 ]*a[2,3]^2*a[3,4]*a[4,2]+2*a[1,3]*a[1,4]*a[2,3]*a[2,4]*a[3,2]*a[4,3]-a[1,3]*a[1 ,4]*a[2,3]*a[2,4]*a[3,3]*a[4,2]+a[1,3]*a[1,4]*a[2,3]*a[2,4]*a[4,2]*a[4,4]-a[1,3 ]*a[1,4]*a[2,4]^2*a[4,2]*a[4,3]-a[1,4]^3*a[2,1]*a[4,3]^2+a[1,4]^3*a[2,3]*a[4,1] *a[4,3]-a[1,4]^2*a[2,2]^2*a[2,3]*a[4,3]+a[1,4]^2*a[2,2]*a[2,3]^2*a[4,2]+a[1,4]^ 2*a[2,2]*a[2,3]*a[4,3]*a[4,4]-a[1,4]^2*a[2,2]*a[2,4]*a[4,3]^2-a[1,4]^2*a[2,3]^2 *a[3,2]*a[4,3]+a[1,4]^2*a[2,3]^2*a[3,3]*a[4,2]-a[1,4]^2*a[2,3]^2*a[4,2]*a[4,4]+ a[1,4]^2*a[2,3]*a[2,4]*a[4,2]*a[4,3])*X[1,2]+(-a[1,1]*a[1,2]^2*a[2,3]^2*a[3,4]+ a[1,1]*a[1,2]^2*a[2,3]*a[2,4]*a[3,3]-a[1,1]*a[1,2]^2*a[2,3]*a[2,4]*a[4,4]+a[1,1 ]*a[1,2]^2*a[2,4]^2*a[4,3]+a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]-a[1,1]*a[1 ,2]*a[1,3]*a[2,3]*a[2,4]*a[3,2]-a[1,1]*a[1,2]*a[1,3]*a[2,3]*a[3,4]*a[4,4]+a[1,1 ]*a[1,2]*a[1,3]*a[2,4]*a[3,4]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,3]+ a[1,1]*a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[4,4]-a[1,1]*a[1,2]*a[1,4]*a[2,2]*a[2,4]*a[ 4,3]+a[1,1]*a[1,2]*a[1,4]*a[2,3]^2*a[3,2]+a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[3,3]*a[ 4,4]-a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[4, 4]^2+a[1,1]*a[1,2]*a[1,4]*a[2,4]*a[4,3]*a[4,4]+a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[3, 4]*a[4,2]-a[1,1]*a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,3]+a[1,1]*a[1,4]^2*a[2,3]*a[3, 2]*a[4,3]-a[1,1]*a[1,4]^2*a[2,3]*a[3,3]*a[4,2]+a[1,1]*a[1,4]^2*a[2,3]*a[4,2]*a[ 4,4]-a[1,1]*a[1,4]^2*a[2,4]*a[4,2]*a[4,3]+a[1,2]^2*a[1,3]*a[2,1]*a[2,3]*a[3,4]- a[1,2]^2*a[1,3]*a[2,1]*a[2,4]*a[3,3]+a[1,2]^2*a[1,3]*a[2,1]*a[2,4]*a[4,4]-a[1,2 ]^2*a[1,3]*a[2,4]^2*a[4,1]-a[1,2]^2*a[1,4]*a[2,1]*a[2,4]*a[4,3]+a[1,2]^2*a[1,4] *a[2,3]*a[2,4]*a[4,1]+a[1,2]^2*a[2,3]^2*a[3,3]*a[3,4]-a[1,2]^2*a[2,3]*a[2,4]*a[ 3,3]^2+a[1,2]^2*a[2,3]*a[2,4]*a[3,3]*a[4,4]-a[1,2]^2*a[2,4]^2*a[3,3]*a[4,3]-a[1 ,2]*a[1,3]^2*a[2,1]*a[2,2]*a[3,4]+a[1,2]*a[1,3]^2*a[2,1]*a[2,4]*a[3,2]+a[1,2]*a [1,3]^2*a[2,1]*a[3,4]*a[4,4]-a[1,2]*a[1,3]^2*a[2,4]*a[3,4]*a[4,1]+a[1,2]*a[1,3] *a[1,4]*a[2,1]*a[2,2]*a[3,3]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[4,4]-a[1,2]*a [1,3]*a[1,4]*a[2,1]*a[2,3]*a[3,2]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,4]+a[1 ,2]*a[1,3]*a[1,4]*a[2,1]*a[4,4]^2+a[1,2]*a[1,3]*a[1,4]*a[2,2]*a[2,4]*a[4,1]+a[1 ,2]*a[1,3]*a[1,4]*a[2,3]*a[3,4]*a[4,1]-a[1,2]*a[1,3]*a[1,4]*a[2,4]*a[4,1]*a[4,4 ]-a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,3]*a[3,4]-a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,4]* a[4,3]-a[1,2]*a[1,3]*a[2,3]^2*a[3,2]*a[3,4]+2*a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,2 ]*a[3,3]-a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,2]*a[4,4]+a[1,2]*a[1,3]*a[2,3]*a[2,4]* a[3,4]*a[4,2]+a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[3,4]*a[4,4]-a[1,2]*a[1,3]*a[2,3]*a[ 3,4]^2*a[4,3]+a[1,2]*a[1,3]*a[2,4]^2*a[3,2]*a[4,3]+a[1,2]*a[1,4]^2*a[2,1]*a[2,2 ]*a[4,3]-a[1,2]*a[1,4]^2*a[2,1]*a[4,3]*a[4,4]-a[1,2]*a[1,4]^2*a[2,2]*a[2,3]*a[4 ,1]+a[1,2]*a[1,4]^2*a[2,3]*a[4,1]*a[4,4]+a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,3]^2-a [1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,3]*a[4,4]+a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,4]*a[4 ,3]+a[1,2]*a[1,4]*a[2,2]*a[2,4]*a[3,3]*a[4,3]-a[1,2]*a[1,4]*a[2,3]^2*a[3,2]*a[3 ,3]-a[1,2]*a[1,4]*a[2,3]^2*a[3,4]*a[4,2]-a[1,2]*a[1,4]*a[2,3]*a[3,3]^2*a[4,4]+a [1,2]*a[1,4]*a[2,3]*a[3,3]*a[3,4]*a[4,3]+a[1,2]*a[1,4]*a[2,3]*a[3,3]*a[4,4]^2-a [1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,3]*a[4,4]-a[1,2]*a[1,4]*a[2,4]*a[3,3]*a[4,3]*a[4 ,4]+a[1,2]*a[1,4]*a[2,4]*a[3,4]*a[4,3]^2-a[1,3]^2*a[1,4]*a[2,1]*a[3,4]*a[4,2]+a [1,3]^2*a[1,4]*a[2,4]*a[3,2]*a[4,1]+a[1,3]^2*a[2,2]*a[2,3]*a[3,2]*a[3,4]-a[1,3] ^2*a[2,3]*a[2,4]*a[3,2]^2-a[1,3]^2*a[2,3]*a[3,2]*a[3,4]*a[4,4]+a[1,3]^2*a[2,3]* a[3,4]^2*a[4,2]+a[1,3]*a[1,4]^2*a[2,1]*a[3,3]*a[4,2]-a[1,3]*a[1,4]^2*a[2,1]*a[4 ,2]*a[4,4]-a[1,3]*a[1,4]^2*a[2,3]*a[3,2]*a[4,1]+a[1,3]*a[1,4]^2*a[2,4]*a[4,1]*a [4,2]-a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[3,2]*a[3,3]+a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[3 ,2]*a[4,4]+a[1,3]*a[1,4]*a[2,3]^2*a[3,2]^2-a[1,3]*a[1,4]*a[2,3]*a[2,4]*a[3,2]*a [4,2]+a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[3,3]*a[4,4]+a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[3 ,4]*a[4,3]-a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,4]^2-2*a[1,3]*a[1,4]*a[2,3]*a[3,3]*a [3,4]*a[4,2]+a[1,3]*a[1,4]*a[2,3]*a[3,4]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,4]*a[3 ,2]*a[4,3]*a[4,4]-a[1,3]*a[1,4]*a[2,4]*a[3,4]*a[4,2]*a[4,3]+a[1,4]^3*a[2,1]*a[4 ,2]*a[4,3]-a[1,4]^3*a[2,3]*a[4,1]*a[4,2]-a[1,4]^2*a[2,2]*a[2,3]*a[3,2]*a[4,3]+a [1,4]^2*a[2,3]^2*a[3,2]*a[4,2]-a[1,4]^2*a[2,3]*a[3,2]*a[3,3]*a[4,3]+a[1,4]^2*a[ 2,3]*a[3,2]*a[4,3]*a[4,4]+a[1,4]^2*a[2,3]*a[3,3]^2*a[4,2]-a[1,4]^2*a[2,3]*a[3,3 ]*a[4,2]*a[4,4]-a[1,4]^2*a[2,4]*a[3,2]*a[4,3]^2+a[1,4]^2*a[2,4]*a[3,3]*a[4,2]*a [4,3])*X[1,3]+X[1,4]*(a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,3]-a[1,1]*a[1,2]*a [1,3]*a[2,3]*a[2,4]*a[4,2]+a[1,1]*a[1,2]*a[1,3]*a[2,3]*a[3,4]*a[4,3]-a[1,1]*a[1 ,2]*a[1,3]*a[2,4]*a[3,3]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[4,3]+a[1,1 ]*a[1,2]*a[1,4]*a[2,3]^2*a[4,2]+a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[4,3]*a[4,4]-a[1,1 ]*a[1,2]*a[1,4]*a[2,4]*a[4,3]^2-a[1,1]*a[1,3]^2*a[2,3]*a[3,4]*a[4,2]+a[1,1]*a[1 ,3]^2*a[2,4]*a[3,2]*a[4,3]-a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,3]+a[1,1]*a[1 ,3]*a[1,4]*a[2,3]*a[3,3]*a[4,2]-a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[4,2]*a[4,4]+a[1,1 ]*a[1,3]*a[1,4]*a[2,4]*a[4,2]*a[4,3]-a[1,2]^2*a[1,3]*a[2,1]*a[2,4]*a[4,3]+a[1,2 ]^2*a[1,3]*a[2,3]*a[2,4]*a[4,1]+a[1,2]^2*a[1,4]*a[2,1]*a[2,3]*a[4,3]-a[1,2]^2*a [1,4]*a[2,3]^2*a[4,1]+a[1,2]^2*a[2,3]^2*a[3,4]*a[4,3]-a[1,2]^2*a[2,3]*a[2,4]*a[ 3,3]*a[4,3]+a[1,2]^2*a[2,3]*a[2,4]*a[4,3]*a[4,4]-a[1,2]^2*a[2,4]^2*a[4,3]^2+a[1 ,2]*a[1,3]^2*a[2,1]*a[2,4]*a[4,2]-a[1,2]*a[1,3]^2*a[2,1]*a[3,4]*a[4,3]-a[1,2]*a [1,3]^2*a[2,2]*a[2,4]*a[4,1]+a[1,2]*a[1,3]^2*a[2,4]*a[3,3]*a[4,1]-a[1,2]*a[1,3] *a[1,4]*a[2,1]*a[2,3]*a[4,2]+a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,3]-a[1,2]*a [1,3]*a[1,4]*a[2,1]*a[4,3]*a[4,4]+a[1,2]*a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[4,1]-a[1 ,2]*a[1,3]*a[1,4]*a[2,3]*a[3,3]*a[4,1]+a[1,2]*a[1,3]*a[1,4]*a[2,4]*a[4,1]*a[4,3 ]-a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,3]-a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,3]* a[4,4]-a[1,2]*a[1,3]*a[2,3]^2*a[3,4]*a[4,2]+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,2]* a[4,3]+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,3]*a[4,2]+a[1,2]*a[1,3]*a[2,4]^2*a[4,2]* a[4,3]+a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[2,4]*a[3,4]*a[ 4,3]^2+a[1,2]*a[1,4]^2*a[2,1]*a[4,3]^2-a[1,2]*a[1,4]^2*a[2,3]*a[4,1]*a[4,3]+a[1 ,2]*a[1,4]*a[2,2]*a[2,3]*a[3,3]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,4]*a[4,3]^2-a[1 ,2]*a[1,4]*a[2,3]^2*a[3,2]*a[4,3]-a[1,2]*a[1,4]*a[2,3]^2*a[4,2]*a[4,4]-a[1,2]*a [1,4]*a[2,3]*a[3,3]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,3]^2+a[1,3]^3 *a[2,1]*a[3,4]*a[4,2]-a[1,3]^3*a[2,4]*a[3,2]*a[4,1]-a[1,3]^2*a[1,4]*a[2,1]*a[3, 3]*a[4,2]+a[1,3]^2*a[1,4]*a[2,1]*a[4,2]*a[4,4]+a[1,3]^2*a[1,4]*a[2,3]*a[3,2]*a[ 4,1]-a[1,3]^2*a[1,4]*a[2,4]*a[4,1]*a[4,2]+a[1,3]^2*a[2,2]*a[2,3]*a[3,4]*a[4,2]- a[1,3]^2*a[2,3]*a[2,4]*a[3,2]*a[4,2]-a[1,3]^2*a[2,4]*a[3,2]*a[4,3]*a[4,4]+a[1,3 ]^2*a[2,4]*a[3,4]*a[4,2]*a[4,3]-a[1,3]*a[1,4]^2*a[2,1]*a[4,2]*a[4,3]+a[1,3]*a[1 ,4]^2*a[2,3]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[3,3]*a[4,2]+a[1,3]*a[1 ,4]*a[2,2]*a[2,3]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,3]^2*a[3,2]*a[4,2]-a[1,3]*a[1 ,4]*a[2,3]*a[2,4]*a[4,2]^2+a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,3]*a[4,4]-a[1,3]*a[1 ,4]*a[2,3]*a[3,4]*a[4,2]*a[4,3]+a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,3]^2-a[1,3]*a[1 ,4]*a[2,4]*a[3,3]*a[4,2]*a[4,3]-a[1,4]^2*a[2,2]*a[2,3]*a[4,2]*a[4,3]+a[1,4]^2*a [2,3]^2*a[4,2]^2-a[1,4]^2*a[2,3]*a[3,2]*a[4,3]^2+a[1,4]^2*a[2,3]*a[3,3]*a[4,2]* a[4,3])+(-a[1,2]^3*a[2,3]^2*a[3,4]+a[1,2]^3*a[2,3]*a[2,4]*a[3,3]-a[1,2]^3*a[2,3 ]*a[2,4]*a[4,4]+a[1,2]^3*a[2,4]^2*a[4,3]+2*a[1,2]^2*a[1,3]*a[2,2]*a[2,3]*a[3,4] -a[1,2]^2*a[1,3]*a[2,2]*a[2,4]*a[3,3]+a[1,2]^2*a[1,3]*a[2,2]*a[2,4]*a[4,4]-a[1, 2]^2*a[1,3]*a[2,3]*a[2,4]*a[3,2]-a[1,2]^2*a[1,3]*a[2,3]*a[3,3]*a[3,4]-a[1,2]^2* a[1,3]*a[2,3]*a[3,4]*a[4,4]-a[1,2]^2*a[1,3]*a[2,4]^2*a[4,2]+a[1,2]^2*a[1,3]*a[2 ,4]*a[3,3]^2-a[1,2]^2*a[1,3]*a[2,4]*a[3,3]*a[4,4]+2*a[1,2]^2*a[1,3]*a[2,4]*a[3, 4]*a[4,3]-a[1,2]^2*a[1,4]*a[2,2]*a[2,3]*a[3,3]+a[1,2]^2*a[1,4]*a[2,2]*a[2,3]*a[ 4,4]-2*a[1,2]^2*a[1,4]*a[2,2]*a[2,4]*a[4,3]+a[1,2]^2*a[1,4]*a[2,3]^2*a[3,2]+a[1 ,2]^2*a[1,4]*a[2,3]*a[2,4]*a[4,2]+a[1,2]^2*a[1,4]*a[2,3]*a[3,3]*a[4,4]-2*a[1,2] ^2*a[1,4]*a[2,3]*a[3,4]*a[4,3]-a[1,2]^2*a[1,4]*a[2,3]*a[4,4]^2+a[1,2]^2*a[1,4]* a[2,4]*a[3,3]*a[4,3]+a[1,2]^2*a[1,4]*a[2,4]*a[4,3]*a[4,4]-a[1,2]*a[1,3]^2*a[2,2 ]^2*a[3,4]+a[1,2]*a[1,3]^2*a[2,2]*a[2,4]*a[3,2]+a[1,2]*a[1,3]^2*a[2,2]*a[3,3]*a [3,4]+a[1,2]*a[1,3]^2*a[2,2]*a[3,4]*a[4,4]+a[1,2]*a[1,3]^2*a[2,3]*a[3,2]*a[3,4] -2*a[1,2]*a[1,3]^2*a[2,4]*a[3,2]*a[3,3]+a[1,2]*a[1,3]^2*a[2,4]*a[3,2]*a[4,4]-2* a[1,2]*a[1,3]^2*a[2,4]*a[3,4]*a[4,2]-a[1,2]*a[1,3]^2*a[3,3]*a[3,4]*a[4,4]+a[1,2 ]*a[1,3]^2*a[3,4]^2*a[4,3]+a[1,2]*a[1,3]*a[1,4]*a[2,2]^2*a[3,3]-a[1,2]*a[1,3]*a [1,4]*a[2,2]^2*a[4,4]-a[1,2]*a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[3,2]+a[1,2]*a[1,3]*a [1,4]*a[2,2]*a[2,4]*a[4,2]-a[1,2]*a[1,3]*a[1,4]*a[2,2]*a[3,3]^2+a[1,2]*a[1,3]*a [1,4]*a[2,2]*a[4,4]^2+a[1,2]*a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[3,3]+3*a[1,2]*a[1,3] *a[1,4]*a[2,3]*a[3,4]*a[4,2]-3*a[1,2]*a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,3]-a[1,2] *a[1,3]*a[1,4]*a[2,4]*a[4,2]*a[4,4]+a[1,2]*a[1,3]*a[1,4]*a[3,3]^2*a[4,4]-a[1,2] *a[1,3]*a[1,4]*a[3,3]*a[3,4]*a[4,3]-a[1,2]*a[1,3]*a[1,4]*a[3,3]*a[4,4]^2+a[1,2] *a[1,3]*a[1,4]*a[3,4]*a[4,3]*a[4,4]+a[1,2]*a[1,4]^2*a[2,2]^2*a[4,3]-a[1,2]*a[1, 4]^2*a[2,2]*a[2,3]*a[4,2]-a[1,2]*a[1,4]^2*a[2,2]*a[3,3]*a[4,3]-a[1,2]*a[1,4]^2* a[2,2]*a[4,3]*a[4,4]+2*a[1,2]*a[1,4]^2*a[2,3]*a[3,2]*a[4,3]-a[1,2]*a[1,4]^2*a[2 ,3]*a[3,3]*a[4,2]+2*a[1,2]*a[1,4]^2*a[2,3]*a[4,2]*a[4,4]-a[1,2]*a[1,4]^2*a[2,4] *a[4,2]*a[4,3]+a[1,2]*a[1,4]^2*a[3,3]*a[4,3]*a[4,4]-a[1,2]*a[1,4]^2*a[3,4]*a[4, 3]^2-a[1,3]^3*a[2,2]*a[3,2]*a[3,4]+a[1,3]^3*a[2,4]*a[3,2]^2+a[1,3]^3*a[3,2]*a[3 ,4]*a[4,4]-a[1,3]^3*a[3,4]^2*a[4,2]+a[1,3]^2*a[1,4]*a[2,2]*a[3,2]*a[3,3]-a[1,3] ^2*a[1,4]*a[2,2]*a[3,2]*a[4,4]-a[1,3]^2*a[1,4]*a[2,2]*a[3,4]*a[4,2]-a[1,3]^2*a[ 1,4]*a[2,3]*a[3,2]^2+2*a[1,3]^2*a[1,4]*a[2,4]*a[3,2]*a[4,2]-a[1,3]^2*a[1,4]*a[3 ,2]*a[3,3]*a[4,4]-a[1,3]^2*a[1,4]*a[3,2]*a[3,4]*a[4,3]+a[1,3]^2*a[1,4]*a[3,2]*a [4,4]^2+2*a[1,3]^2*a[1,4]*a[3,3]*a[3,4]*a[4,2]-a[1,3]^2*a[1,4]*a[3,4]*a[4,2]*a[ 4,4]+a[1,3]*a[1,4]^2*a[2,2]*a[3,2]*a[4,3]+a[1,3]*a[1,4]^2*a[2,2]*a[3,3]*a[4,2]- a[1,3]*a[1,4]^2*a[2,2]*a[4,2]*a[4,4]-2*a[1,3]*a[1,4]^2*a[2,3]*a[3,2]*a[4,2]+a[1 ,3]*a[1,4]^2*a[2,4]*a[4,2]^2+a[1,3]*a[1,4]^2*a[3,2]*a[3,3]*a[4,3]-2*a[1,3]*a[1, 4]^2*a[3,2]*a[4,3]*a[4,4]-a[1,3]*a[1,4]^2*a[3,3]^2*a[4,2]+a[1,3]*a[1,4]^2*a[3,3 ]*a[4,2]*a[4,4]+a[1,3]*a[1,4]^2*a[3,4]*a[4,2]*a[4,3]+a[1,4]^3*a[2,2]*a[4,2]*a[4 ,3]-a[1,4]^3*a[2,3]*a[4,2]^2+a[1,4]^3*a[3,2]*a[4,3]^2-a[1,4]^3*a[3,3]*a[4,2]*a[ 4,3])*X[2,3] = 0 ------------------------------------ Theorem number, 3, : let, {X[1, 2], X[1, 3], X[2, 1], X[2, 3]}, be the entrie\ s of an ARBITRARY power of the general matrix M, we always have the line\ ar relation (a[1, 1] a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[4, 3] - a[1, 1] a[1, 3] a[2, 1] a[2, 3] a[2, 4] a[4, 2] + a[1, 1] a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 3] - a[1, 1] a[1, 3] a[2, 1] a[2, 4] a[3, 3] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 1] + a[1, 1] a[1, 3] a[2, 3] a[2, 4] a[3, 3] a[4, 1] - a[1, 1] a[1, 3] a[2, 3] a[2, 4] a[4, 1] a[4, 4] 2 + a[1, 1] a[1, 3] a[2, 4] a[4, 1] a[4, 3] - a[1, 1] a[1, 4] a[2, 1] a[2, 2] a[2, 3] a[4, 3] 2 + a[1, 1] a[1, 4] a[2, 1] a[2, 3] a[4, 2] + a[1, 1] a[1, 4] a[2, 1] a[2, 3] a[4, 3] a[4, 4] 2 - a[1, 1] a[1, 4] a[2, 1] a[2, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 3] + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[2, 4] a[4, 1] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 1] 2 + a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 3] - a[1, 2] a[2, 1] a[2, 3] a[2, 4] a[3, 3] a[4, 3] + a[1, 2] a[2, 1] a[2, 3] a[2, 4] a[4, 3] a[4, 4] 2 2 3 - a[1, 2] a[2, 1] a[2, 4] a[4, 3] - a[1, 2] a[2, 3] a[3, 4] a[4, 1] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] 2 - a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 4] 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 3] 2 2 2 2 + a[1, 3] a[2, 1] a[2, 4] a[4, 2] - a[1, 3] a[2, 1] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[4, 1] 2 + a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 1] 2 + a[1, 3] a[2, 1] a[2, 4] a[3, 1] a[4, 3] 2 + a[1, 3] a[2, 1] a[2, 4] a[4, 1] a[4, 4] 2 2 2 2 - a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 1] - a[1, 3] a[2, 4] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 1] a[4, 3] a[4, 4] + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[2, 3] a[4, 1] - a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 1] a[4, 3] - a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 1] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 1] 2 + a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[4, 1] - a[1, 3] a[2, 1] a[2, 2] a[2, 3] a[3, 4] a[4, 3] - a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[4, 3] a[4, 4] + a[1, 3] a[2, 1] a[2, 3] a[2, 4] a[3, 3] a[4, 2] 2 + a[1, 3] a[2, 1] a[2, 4] a[4, 2] a[4, 3] + a[1, 3] a[2, 1] a[2, 4] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 4] a[4, 3] 2 + a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 1] + a[1, 3] a[2, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 3] - a[1, 3] a[2, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] + a[1, 3] a[2, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 2] 2 - a[1, 3] a[2, 3] a[2, 4] a[4, 1] a[4, 2] - a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 3] a[4, 4] + a[1, 3] a[2, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 3] 2 2 + a[1, 3] a[2, 4] a[3, 1] a[4, 3] 2 2 2 2 - a[1, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 3] + a[1, 4] a[2, 1] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 3] a[4, 1] a[4, 3] + a[1, 4] a[2, 1] a[2, 2] a[2, 3] a[3, 3] a[4, 3] 2 + a[1, 4] a[2, 1] a[2, 2] a[2, 4] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 2] - a[1, 4] a[2, 1] a[2, 3] a[2, 4] a[4, 2] a[4, 3] - a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 4] a[2, 1] a[2, 3] a[3, 4] a[4, 3] 2 - a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 3] - a[1, 4] a[2, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 3] 3 + a[1, 4] a[2, 3] a[3, 1] a[4, 2] 2 + a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 3] a[3, 1] a[4, 3] a[4, 4] 2 - a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 4] a[2, 3] a[2, 4] a[3, 1] a[4, 3] + a[1, 4] a[2, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 3]) X[1, 2] + ( 2 a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 1] - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 4] 2 - a[1, 1] a[1, 2] a[2, 4] a[4, 1] a[4, 3] - a[1, 1] a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 2] + a[1, 1] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 3] - a[1, 1] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 3] + a[1, 1] a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 2] - a[1, 1] a[1, 4] a[2, 1] a[2, 3] a[4, 2] a[4, 4] + a[1, 1] a[1, 4] a[2, 1] a[2, 4] a[4, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 1] 2 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 1] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 1] 2 - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 1] 2 + a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 1] - a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 3] + a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 4] 2 2 - a[1, 2] a[2, 4] a[3, 1] a[4, 3] 2 + a[1, 2] a[2, 4] a[3, 3] a[4, 1] a[4, 3] 2 2 + a[1, 3] a[2, 1] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 1] - a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 1] a[4, 2] - a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[3, 4] a[4, 3] + a[1, 3] a[2, 1] a[2, 3] a[3, 3] a[3, 4] a[4, 2] - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[2, 1] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] + a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] + a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 4] - a[1, 3] a[2, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] 2 2 - a[1, 4] a[2, 1] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[2, 3] a[4, 1] a[4, 2] + a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[3, 3] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 2] + a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 2] a[4, 4] - a[1, 4] a[2, 1] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 3] - a[1, 4] a[2, 1] a[2, 4] a[3, 3] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] 2 - a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 4] 2 + a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 4] a[2, 3] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 3]) X[1, 3] + ( -a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 2] - a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 3] + a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 3] 2 - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[4, 2] - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[4, 3] a[4, 4] 2 + a[1, 1] a[1, 2] a[1, 4] a[2, 4] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 3] + a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 2] + a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[4, 2] a[4, 4] - a[1, 1] a[1, 3] a[1, 4] a[2, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 1] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 3] 2 2 2 2 + a[1, 2] a[1, 4] a[2, 3] a[4, 1] - a[1, 2] a[2, 3] a[3, 4] a[4, 3] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 3] 2 2 2 2 - a[1, 2] a[2, 3] a[2, 4] a[4, 3] a[4, 4] + a[1, 2] a[2, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[4, 2] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 3] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[4, 3] a[4, 4] - a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[4, 1] + a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 2] - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 3] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 3] 2 2 - a[1, 2] a[1, 4] a[2, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 3] 3 3 - a[1, 3] a[2, 1] a[3, 4] a[4, 2] + a[1, 3] a[2, 4] a[3, 2] a[4, 1] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 1] 2 + a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 2] 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 3] a[4, 1] a[4, 2] + a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 3] a[4, 2] - a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[4, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[4, 2] - a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] + a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 4] a[2, 2] a[2, 3] a[4, 2] a[4, 3] - a[1, 4] a[2, 3] a[4, 2] 2 2 + a[1, 4] a[2, 3] a[3, 2] a[4, 3] 2 - a[1, 4] a[2, 3] a[3, 3] a[4, 2] a[4, 3]) X[2, 1] + X[2, 3] ( 2 2 a[1, 2] a[2, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 4] 2 2 - a[1, 2] a[2, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 3] + a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 2] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 1] a[4, 3] 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 3] + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 4] a[2, 1] a[2, 3] a[4, 2] - a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 3]) = 0 in Maple notation (a[1,1]*a[1,3]*a[2,1]*a[2,2]*a[2,4]*a[4,3]-a[1,1]*a[1,3]*a[2,1]*a[2,3]*a[2,4]*a [4,2]+a[1,1]*a[1,3]*a[2,1]*a[2,3]*a[3,4]*a[4,3]-a[1,1]*a[1,3]*a[2,1]*a[2,4]*a[3 ,3]*a[4,3]-a[1,1]*a[1,3]*a[2,3]^2*a[3,4]*a[4,1]+a[1,1]*a[1,3]*a[2,3]*a[2,4]*a[3 ,3]*a[4,1]-a[1,1]*a[1,3]*a[2,3]*a[2,4]*a[4,1]*a[4,4]+a[1,1]*a[1,3]*a[2,4]^2*a[4 ,1]*a[4,3]-a[1,1]*a[1,4]*a[2,1]*a[2,2]*a[2,3]*a[4,3]+a[1,1]*a[1,4]*a[2,1]*a[2,3 ]^2*a[4,2]+a[1,1]*a[1,4]*a[2,1]*a[2,3]*a[4,3]*a[4,4]-a[1,1]*a[1,4]*a[2,1]*a[2,4 ]*a[4,3]^2-a[1,2]*a[1,3]*a[2,1]^2*a[2,4]*a[4,3]+a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[2 ,4]*a[4,1]+a[1,2]*a[1,4]*a[2,1]^2*a[2,3]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[2,3]^2*a [4,1]+a[1,2]*a[2,1]*a[2,3]^2*a[3,4]*a[4,3]-a[1,2]*a[2,1]*a[2,3]*a[2,4]*a[3,3]*a [4,3]+a[1,2]*a[2,1]*a[2,3]*a[2,4]*a[4,3]*a[4,4]-a[1,2]*a[2,1]*a[2,4]^2*a[4,3]^2 -a[1,2]*a[2,3]^3*a[3,4]*a[4,1]+a[1,2]*a[2,3]^2*a[2,4]*a[3,3]*a[4,1]-a[1,2]*a[2, 3]^2*a[2,4]*a[4,1]*a[4,4]+a[1,2]*a[2,3]*a[2,4]^2*a[4,1]*a[4,3]+a[1,3]^2*a[2,1]^ 2*a[2,4]*a[4,2]-a[1,3]^2*a[2,1]^2*a[3,4]*a[4,3]-a[1,3]^2*a[2,1]*a[2,2]*a[2,4]*a [4,1]+a[1,3]^2*a[2,1]*a[2,3]*a[3,4]*a[4,1]+a[1,3]^2*a[2,1]*a[2,4]*a[3,1]*a[4,3] +a[1,3]^2*a[2,1]*a[2,4]*a[4,1]*a[4,4]-a[1,3]^2*a[2,3]*a[2,4]*a[3,1]*a[4,1]-a[1, 3]^2*a[2,4]^2*a[4,1]^2-a[1,3]*a[1,4]*a[2,1]^2*a[2,3]*a[4,2]+a[1,3]*a[1,4]*a[2,1 ]^2*a[3,3]*a[4,3]-a[1,3]*a[1,4]*a[2,1]^2*a[4,3]*a[4,4]+a[1,3]*a[1,4]*a[2,1]*a[2 ,2]*a[2,3]*a[4,1]-a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[3,1]*a[4,3]-a[1,3]*a[1,4]*a[2,1 ]*a[2,3]*a[3,3]*a[4,1]+a[1,3]*a[1,4]*a[2,3]^2*a[3,1]*a[4,1]+a[1,3]*a[1,4]*a[2,3 ]*a[2,4]*a[4,1]^2-a[1,3]*a[2,1]*a[2,2]*a[2,3]*a[3,4]*a[4,3]-a[1,3]*a[2,1]*a[2,2 ]*a[2,4]*a[4,3]*a[4,4]+a[1,3]*a[2,1]*a[2,3]*a[2,4]*a[3,3]*a[4,2]+a[1,3]*a[2,1]* a[2,4]^2*a[4,2]*a[4,3]+a[1,3]*a[2,1]*a[2,4]*a[3,3]*a[4,3]*a[4,4]-a[1,3]*a[2,1]* a[2,4]*a[3,4]*a[4,3]^2+a[1,3]*a[2,2]*a[2,3]^2*a[3,4]*a[4,1]+a[1,3]*a[2,2]*a[2,3 ]*a[2,4]*a[3,1]*a[4,3]-a[1,3]*a[2,2]*a[2,3]*a[2,4]*a[3,3]*a[4,1]+a[1,3]*a[2,2]* a[2,3]*a[2,4]*a[4,1]*a[4,4]-a[1,3]*a[2,3]^2*a[2,4]*a[3,1]*a[4,2]-a[1,3]*a[2,3]* a[2,4]^2*a[4,1]*a[4,2]-a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[4,3]*a[4,4]+a[1,3]*a[2,3]* a[2,4]*a[3,4]*a[4,1]*a[4,3]+a[1,3]*a[2,4]^2*a[3,1]*a[4,3]^2-a[1,3]*a[2,4]^2*a[3 ,3]*a[4,1]*a[4,3]+a[1,4]^2*a[2,1]^2*a[4,3]^2-a[1,4]^2*a[2,1]*a[2,3]*a[4,1]*a[4, 3]+a[1,4]*a[2,1]*a[2,2]*a[2,3]*a[3,3]*a[4,3]+a[1,4]*a[2,1]*a[2,2]*a[2,4]*a[4,3] ^2-a[1,4]*a[2,1]*a[2,3]^2*a[3,3]*a[4,2]-a[1,4]*a[2,1]*a[2,3]*a[2,4]*a[4,2]*a[4, 3]-a[1,4]*a[2,1]*a[2,3]*a[3,3]*a[4,3]*a[4,4]+a[1,4]*a[2,1]*a[2,3]*a[3,4]*a[4,3] ^2-a[1,4]*a[2,2]*a[2,3]^2*a[3,1]*a[4,3]-a[1,4]*a[2,2]*a[2,3]*a[2,4]*a[4,1]*a[4, 3]+a[1,4]*a[2,3]^3*a[3,1]*a[4,2]+a[1,4]*a[2,3]^2*a[2,4]*a[4,1]*a[4,2]+a[1,4]*a[ 2,3]^2*a[3,1]*a[4,3]*a[4,4]-a[1,4]*a[2,3]^2*a[3,4]*a[4,1]*a[4,3]-a[1,4]*a[2,3]* a[2,4]*a[3,1]*a[4,3]^2+a[1,4]*a[2,3]*a[2,4]*a[3,3]*a[4,1]*a[4,3])*X[1,2]+(a[1,1 ]*a[1,2]*a[2,3]^2*a[3,4]*a[4,1]-a[1,1]*a[1,2]*a[2,3]*a[2,4]*a[3,3]*a[4,1]+a[1,1 ]*a[1,2]*a[2,3]*a[2,4]*a[4,1]*a[4,4]-a[1,1]*a[1,2]*a[2,4]^2*a[4,1]*a[4,3]-a[1,1 ]*a[1,3]*a[2,1]*a[2,3]*a[3,4]*a[4,2]+a[1,1]*a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[4,3]- a[1,1]*a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[4,3]+a[1,1]*a[1,4]*a[2,1]*a[2,3]*a[3,3]*a[ 4,2]-a[1,1]*a[1,4]*a[2,1]*a[2,3]*a[4,2]*a[4,4]+a[1,1]*a[1,4]*a[2,1]*a[2,4]*a[4, 2]*a[4,3]-a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,4]*a[4,1]-a[1,2]*a[1,3]*a[2,1]*a[2,4] *a[3,1]*a[4,3]+a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,3]*a[4,1]-a[1,2]*a[1,3]*a[2,1]*a [2,4]*a[4,1]*a[4,4]+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[4,1]+a[1,2]*a[1,3]*a[2 ,4]^2*a[4,1]^2+a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,1]*a[4,3]+a[1,2]*a[1,4]*a[2,1]*a [2,4]*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,3]^2*a[3,1]*a[4,1]-a[1,2]*a[1,4]*a[2,3]*a [2,4]*a[4,1]^2+a[1,2]*a[2,3]^2*a[3,1]*a[3,4]*a[4,3]-a[1,2]*a[2,3]^2*a[3,3]*a[3, 4]*a[4,1]-a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[3,3]*a[4,3]+a[1,2]*a[2,3]*a[2,4]*a[3,1] *a[4,3]*a[4,4]+a[1,2]*a[2,3]*a[2,4]*a[3,3]^2*a[4,1]-a[1,2]*a[2,3]*a[2,4]*a[3,3] *a[4,1]*a[4,4]-a[1,2]*a[2,4]^2*a[3,1]*a[4,3]^2+a[1,2]*a[2,4]^2*a[3,3]*a[4,1]*a[ 4,3]+a[1,3]^2*a[2,1]^2*a[3,4]*a[4,2]-a[1,3]^2*a[2,1]*a[2,4]*a[3,2]*a[4,1]-a[1,3 ]*a[1,4]*a[2,1]^2*a[3,3]*a[4,2]+a[1,3]*a[1,4]*a[2,1]^2*a[4,2]*a[4,4]+a[1,3]*a[1 ,4]*a[2,1]*a[2,3]*a[3,2]*a[4,1]-a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[4,1]*a[4,2]-a[1,3 ]*a[2,1]*a[2,3]*a[3,2]*a[3,4]*a[4,3]+a[1,3]*a[2,1]*a[2,3]*a[3,3]*a[3,4]*a[4,2]- a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[4,3]*a[4,4]+a[1,3]*a[2,1]*a[2,4]*a[3,4]*a[4,2]*a[ 4,3]-a[1,3]*a[2,3]^2*a[3,1]*a[3,4]*a[4,2]+a[1,3]*a[2,3]^2*a[3,2]*a[3,4]*a[4,1]+ a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[3,2]*a[4,3]-a[1,3]*a[2,3]*a[2,4]*a[3,2]*a[3,3]*a[ 4,1]+a[1,3]*a[2,3]*a[2,4]*a[3,2]*a[4,1]*a[4,4]-a[1,3]*a[2,3]*a[2,4]*a[3,4]*a[4, 1]*a[4,2]-a[1,4]^2*a[2,1]^2*a[4,2]*a[4,3]+a[1,4]^2*a[2,1]*a[2,3]*a[4,1]*a[4,2]+ a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[3,3]*a[4,3]-a[1,4]*a[2,1]*a[2,3]*a[3,3]^2*a[4,2]+ a[1,4]*a[2,1]*a[2,3]*a[3,3]*a[4,2]*a[4,4]-a[1,4]*a[2,1]*a[2,3]*a[3,4]*a[4,2]*a[ 4,3]+a[1,4]*a[2,1]*a[2,4]*a[3,2]*a[4,3]^2-a[1,4]*a[2,1]*a[2,4]*a[3,3]*a[4,2]*a[ 4,3]-a[1,4]*a[2,3]^2*a[3,1]*a[3,2]*a[4,3]+a[1,4]*a[2,3]^2*a[3,1]*a[3,3]*a[4,2]- a[1,4]*a[2,3]^2*a[3,1]*a[4,2]*a[4,4]+a[1,4]*a[2,3]^2*a[3,4]*a[4,1]*a[4,2]+a[1,4 ]*a[2,3]*a[2,4]*a[3,1]*a[4,2]*a[4,3]-a[1,4]*a[2,3]*a[2,4]*a[3,2]*a[4,1]*a[4,3]) *X[1,3]+(-a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,3]+a[1,1]*a[1,2]*a[1,3]*a[2,3] *a[2,4]*a[4,2]-a[1,1]*a[1,2]*a[1,3]*a[2,3]*a[3,4]*a[4,3]+a[1,1]*a[1,2]*a[1,3]*a [2,4]*a[3,3]*a[4,3]+a[1,1]*a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[4,3]-a[1,1]*a[1,2]*a[1 ,4]*a[2,3]^2*a[4,2]-a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[4,3]*a[4,4]+a[1,1]*a[1,2]*a[1 ,4]*a[2,4]*a[4,3]^2+a[1,1]*a[1,3]^2*a[2,3]*a[3,4]*a[4,2]-a[1,1]*a[1,3]^2*a[2,4] *a[3,2]*a[4,3]+a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,3]-a[1,1]*a[1,3]*a[1,4]*a [2,3]*a[3,3]*a[4,2]+a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[4,2]*a[4,4]-a[1,1]*a[1,3]*a[1 ,4]*a[2,4]*a[4,2]*a[4,3]+a[1,2]^2*a[1,3]*a[2,1]*a[2,4]*a[4,3]-a[1,2]^2*a[1,3]*a [2,3]*a[2,4]*a[4,1]-a[1,2]^2*a[1,4]*a[2,1]*a[2,3]*a[4,3]+a[1,2]^2*a[1,4]*a[2,3] ^2*a[4,1]-a[1,2]^2*a[2,3]^2*a[3,4]*a[4,3]+a[1,2]^2*a[2,3]*a[2,4]*a[3,3]*a[4,3]- a[1,2]^2*a[2,3]*a[2,4]*a[4,3]*a[4,4]+a[1,2]^2*a[2,4]^2*a[4,3]^2-a[1,2]*a[1,3]^2 *a[2,1]*a[2,4]*a[4,2]+a[1,2]*a[1,3]^2*a[2,1]*a[3,4]*a[4,3]+a[1,2]*a[1,3]^2*a[2, 2]*a[2,4]*a[4,1]-a[1,2]*a[1,3]^2*a[2,4]*a[3,3]*a[4,1]+a[1,2]*a[1,3]*a[1,4]*a[2, 1]*a[2,3]*a[4,2]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,3]+a[1,2]*a[1,3]*a[1,4] *a[2,1]*a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[4,1]+a[1,2]*a[1,3]*a [1,4]*a[2,3]*a[3,3]*a[4,1]-a[1,2]*a[1,3]*a[1,4]*a[2,4]*a[4,1]*a[4,3]+a[1,2]*a[1 ,3]*a[2,2]*a[2,3]*a[3,4]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,3]*a[4,4]+a[1,2 ]*a[1,3]*a[2,3]^2*a[3,4]*a[4,2]-a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,2]*a[4,3]-a[1,2 ]*a[1,3]*a[2,3]*a[2,4]*a[3,3]*a[4,2]-a[1,2]*a[1,3]*a[2,4]^2*a[4,2]*a[4,3]-a[1,2 ]*a[1,3]*a[2,4]*a[3,3]*a[4,3]*a[4,4]+a[1,2]*a[1,3]*a[2,4]*a[3,4]*a[4,3]^2-a[1,2 ]*a[1,4]^2*a[2,1]*a[4,3]^2+a[1,2]*a[1,4]^2*a[2,3]*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a [2,2]*a[2,3]*a[3,3]*a[4,3]-a[1,2]*a[1,4]*a[2,2]*a[2,4]*a[4,3]^2+a[1,2]*a[1,4]*a [2,3]^2*a[3,2]*a[4,3]+a[1,2]*a[1,4]*a[2,3]^2*a[4,2]*a[4,4]+a[1,2]*a[1,4]*a[2,3] *a[3,3]*a[4,3]*a[4,4]-a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,3]^2-a[1,3]^3*a[2,1]*a[3, 4]*a[4,2]+a[1,3]^3*a[2,4]*a[3,2]*a[4,1]+a[1,3]^2*a[1,4]*a[2,1]*a[3,3]*a[4,2]-a[ 1,3]^2*a[1,4]*a[2,1]*a[4,2]*a[4,4]-a[1,3]^2*a[1,4]*a[2,3]*a[3,2]*a[4,1]+a[1,3]^ 2*a[1,4]*a[2,4]*a[4,1]*a[4,2]-a[1,3]^2*a[2,2]*a[2,3]*a[3,4]*a[4,2]+a[1,3]^2*a[2 ,3]*a[2,4]*a[3,2]*a[4,2]+a[1,3]^2*a[2,4]*a[3,2]*a[4,3]*a[4,4]-a[1,3]^2*a[2,4]*a [3,4]*a[4,2]*a[4,3]+a[1,3]*a[1,4]^2*a[2,1]*a[4,2]*a[4,3]-a[1,3]*a[1,4]^2*a[2,3] *a[4,1]*a[4,2]+a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[3,3]*a[4,2]-a[1,3]*a[1,4]*a[2,2]*a [2,3]*a[4,2]*a[4,4]-a[1,3]*a[1,4]*a[2,3]^2*a[3,2]*a[4,2]+a[1,3]*a[1,4]*a[2,3]*a [2,4]*a[4,2]^2-a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,3]*a[4,4]+a[1,3]*a[1,4]*a[2,3]*a [3,4]*a[4,2]*a[4,3]-a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,3]^2+a[1,3]*a[1,4]*a[2,4]*a [3,3]*a[4,2]*a[4,3]+a[1,4]^2*a[2,2]*a[2,3]*a[4,2]*a[4,3]-a[1,4]^2*a[2,3]^2*a[4, 2]^2+a[1,4]^2*a[2,3]*a[3,2]*a[4,3]^2-a[1,4]^2*a[2,3]*a[3,3]*a[4,2]*a[4,3])*X[2, 1]+X[2,3]*(a[1,2]^2*a[2,3]^2*a[3,4]*a[4,1]-a[1,2]^2*a[2,3]*a[2,4]*a[3,3]*a[4,1] +a[1,2]^2*a[2,3]*a[2,4]*a[4,1]*a[4,4]-a[1,2]^2*a[2,4]^2*a[4,1]*a[4,3]-a[1,2]*a[ 1,3]*a[2,1]*a[2,3]*a[3,4]*a[4,2]+a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[4,3]-a[1, 2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,1]-a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,1]*a[4,3] +a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,3]*a[4,1]-a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,1]*a [4,4]+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[4,2]-a[1,2]*a[1,3]*a[2,3]*a[3,1]*a[3 ,4]*a[4,3]+a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[3,4]*a[4,1]+a[1,2]*a[1,3]*a[2,4]^2*a[4 ,1]*a[4,2]+a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[3,3]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[3,3 ]^2*a[4,1]+a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,1]*a[4,4]-a[1,2]*a[1,3]*a[2,4]*a[3,4 ]*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[4,3]+a[1,2]*a[1,4]*a[2,1]* a[2,3]*a[3,3]*a[4,2]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[4,2]*a[4,4]+a[1,2]*a[1,4]*a[ 2,1]*a[2,4]*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,1]*a[4,3]+a[1,2]*a[1, 4]*a[2,2]*a[2,4]*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,3]^2*a[3,1]*a[4,2]-a[1,2]*a[1, 4]*a[2,3]*a[2,4]*a[4,1]*a[4,2]-a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[4,3]*a[4,4]+a[1,2] *a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,3]+a[1,2]*a[1,4]*a[2,4]*a[3,1]*a[4,3]^2-a[1,2] *a[1,4]*a[2,4]*a[3,3]*a[4,1]*a[4,3]+a[1,3]^2*a[2,1]*a[2,2]*a[3,4]*a[4,2]-a[1,3] ^2*a[2,1]*a[2,4]*a[3,2]*a[4,2]+a[1,3]^2*a[2,1]*a[3,2]*a[3,4]*a[4,3]-a[1,3]^2*a[ 2,1]*a[3,3]*a[3,4]*a[4,2]+a[1,3]^2*a[2,3]*a[3,1]*a[3,4]*a[4,2]-a[1,3]^2*a[2,3]* a[3,2]*a[3,4]*a[4,1]-a[1,3]^2*a[2,4]*a[3,1]*a[3,2]*a[4,3]+a[1,3]^2*a[2,4]*a[3,2 ]*a[3,3]*a[4,1]-a[1,3]^2*a[2,4]*a[3,2]*a[4,1]*a[4,4]+a[1,3]^2*a[2,4]*a[3,4]*a[4 ,1]*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[3,3]*a[4,2]+a[1,3]*a[1,4]*a[2,1]*a[2,2 ]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[4,2]-a[1,3]*a[1,4]*a[2,1]* a[2,4]*a[4,2]^2-a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[3,3]*a[4,3]+a[1,3]*a[1,4]*a[2,1]* a[3,2]*a[4,3]*a[4,4]+a[1,3]*a[1,4]*a[2,1]*a[3,3]^2*a[4,2]-a[1,3]*a[1,4]*a[2,1]* a[3,3]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,3]-a[1,3]*a[1,4]*a[ 2,3]*a[3,1]*a[3,3]*a[4,2]+a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[4,2]*a[4,4]-a[1,3]*a[1, 4]*a[2,3]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,4]*a[3,1]*a[4,2]*a[4,3]+a[1,3] *a[1,4]*a[2,4]*a[3,2]*a[4,1]*a[4,3]-a[1,4]^2*a[2,1]*a[2,2]*a[4,2]*a[4,3]+a[1,4] ^2*a[2,1]*a[2,3]*a[4,2]^2-a[1,4]^2*a[2,1]*a[3,2]*a[4,3]^2+a[1,4]^2*a[2,1]*a[3,3 ]*a[4,2]*a[4,3]) = 0 ------------------------------------ Theorem number, 4, : let, {X[1, 2], X[1, 3], X[2, 1], X[2, 4]}, be the entrie\ s of an ARBITRARY power of the general matrix M, we always have the line\ ar relation 2 (-a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[3, 4] + a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[2, 4] a[3, 3] - a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[2, 4] a[4, 4] 2 + a[1, 1] a[1, 2] a[2, 1] a[2, 4] a[4, 3] + a[1, 1] a[1, 3] a[2, 1] a[2, 2] a[2, 3] a[3, 4] - a[1, 1] a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[3, 3] + a[1, 1] a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[4, 4] - a[1, 1] a[1, 3] a[2, 1] a[2, 3] a[3, 3] a[3, 4] 2 - a[1, 1] a[1, 3] a[2, 1] a[2, 4] a[4, 2] 2 + a[1, 1] a[1, 3] a[2, 1] a[2, 4] a[3, 3] - a[1, 1] a[1, 3] a[2, 1] a[2, 4] a[3, 3] a[4, 4] + a[1, 1] a[1, 3] a[2, 1] a[2, 4] a[3, 4] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 3] a[3, 1] a[3, 4] - a[1, 1] a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[3, 3] + a[1, 1] a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 4] 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 1] a[4, 3] - a[1, 1] a[1, 4] a[2, 1] a[2, 2] a[2, 4] a[4, 3] + a[1, 1] a[1, 4] a[2, 1] a[2, 3] a[2, 4] a[4, 2] - a[1, 1] a[1, 4] a[2, 1] a[2, 3] a[3, 4] a[4, 3] + a[1, 1] a[1, 4] a[2, 1] a[2, 4] a[3, 3] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[2, 4] a[3, 1] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 1] 2 + a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 4] - a[1, 2] a[2, 1] a[2, 3] a[2, 4] a[3, 3] a[4, 4] 2 + a[1, 2] a[2, 1] a[2, 3] a[2, 4] a[4, 4] 2 - a[1, 2] a[2, 1] a[2, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 4] a[4, 1] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] 2 - a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 4] 3 2 2 + a[1, 2] a[2, 4] a[4, 1] a[4, 3] - a[1, 3] a[2, 1] a[2, 2] a[3, 4] 2 2 + a[1, 3] a[2, 1] a[3, 3] a[3, 4] 2 + a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[3, 1] 2 - a[1, 3] a[2, 1] a[2, 3] a[3, 1] a[3, 4] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 1] a[3, 3] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 4] a[4, 1] 2 2 2 2 + a[1, 3] a[2, 3] a[2, 4] a[3, 1] + a[1, 3] a[2, 4] a[3, 1] a[4, 1] 2 + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 3] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 2] 2 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 3] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 4] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[2, 3] a[3, 1] + 2 a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 1] a[3, 3] - a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 1] a[4, 4] + a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 4] a[4, 1] 2 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 1] - a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[3, 1] a[4, 1] - a[1, 3] a[2, 1] a[2, 2] a[2, 3] a[3, 4] a[4, 4] + a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[3, 3] a[4, 4] - a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[4, 4] + a[1, 3] a[2, 1] a[2, 3] a[2, 4] a[3, 4] a[4, 2] + a[1, 3] a[2, 1] a[2, 3] a[3, 3] a[3, 4] a[4, 4] 2 - a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 3] 2 + a[1, 3] a[2, 1] a[2, 4] a[4, 2] a[4, 4] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 3] a[4, 4] + a[1, 3] a[2, 1] a[2, 4] a[3, 3] a[3, 4] a[4, 3] 2 + a[1, 3] a[2, 1] a[2, 4] a[3, 3] a[4, 4] - a[1, 3] a[2, 1] a[2, 4] a[3, 4] a[4, 3] a[4, 4] + a[1, 3] a[2, 2] a[2, 3] a[2, 4] a[3, 4] a[4, 1] 2 + a[1, 3] a[2, 2] a[2, 4] a[3, 1] a[4, 3] 2 - a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 1] 2 + a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 4] 2 2 + a[1, 3] a[2, 3] a[3, 4] a[4, 1] 2 - a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 2] + a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 4] + a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 4] - 2 a[1, 3] a[2, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 1] + a[1, 3] a[2, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 4] 3 - a[1, 3] a[2, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 3] 2 + a[1, 3] a[2, 4] a[3, 1] a[4, 3] a[4, 4] 2 2 + a[1, 3] a[2, 4] a[3, 3] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 4] 2 2 2 2 + a[1, 4] a[2, 1] a[2, 2] a[4, 3] - a[1, 4] a[2, 1] a[2, 3] a[4, 2] 2 2 - a[1, 4] a[2, 1] a[3, 3] a[4, 3] 2 + a[1, 4] a[2, 1] a[2, 3] a[3, 1] a[4, 3] + a[1, 4] a[2, 1] a[2, 2] a[2, 3] a[3, 4] a[4, 3] + a[1, 4] a[2, 1] a[2, 2] a[2, 4] a[4, 3] a[4, 4] 2 - a[1, 4] a[2, 1] a[2, 3] a[3, 4] a[4, 2] - a[1, 4] a[2, 1] a[2, 3] a[2, 4] a[4, 2] a[4, 4] - a[1, 4] a[2, 1] a[2, 4] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 4] a[2, 1] a[2, 4] a[3, 4] a[4, 3] - a[1, 4] a[2, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 3] 2 - a[1, 4] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 + a[1, 4] a[2, 3] a[2, 4] a[3, 1] a[4, 2] 2 + a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 2] + a[1, 4] a[2, 3] a[2, 4] a[3, 1] a[4, 3] a[4, 4] - a[1, 4] a[2, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 3] 2 2 - a[1, 4] a[2, 4] a[3, 1] a[4, 3] 2 + a[1, 4] a[2, 4] a[3, 3] a[4, 1] a[4, 3]) X[1, 2] + ( 2 -a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[3, 4] + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[3, 3] - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 4] 2 + a[1, 1] a[1, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 1] a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[3, 4] - a[1, 1] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[3, 3] + a[1, 1] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 4] - a[1, 1] a[1, 3] a[2, 1] a[2, 4] a[3, 4] a[4, 2] + a[1, 1] a[1, 4] a[2, 1] a[2, 3] a[3, 4] a[4, 2] - a[1, 1] a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 1] a[3, 4] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 4] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 1] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 1] a[3, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 1] a[4, 4] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 4] a[4, 1] - a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[3, 1] a[4, 3] 2 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 1] + a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 1] a[4, 1] 2 + a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 4] 2 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 1] - a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 4] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 4] + a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 1] - a[1, 2] a[2, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 4] a[3, 1] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 3] 2 2 - a[1, 3] a[2, 1] a[3, 2] a[3, 4] 2 + a[1, 3] a[2, 1] a[2, 4] a[3, 1] a[3, 2] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 1] a[3, 2] + a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[3, 1] a[4, 2] - a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[3, 4] a[4, 4] 2 + a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 2] + a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[3, 3] a[4, 4] - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 4] + a[1, 3] a[2, 1] a[2, 4] a[3, 4] a[4, 2] a[4, 4] - a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[3, 4] a[4, 2] + a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[3, 4] a[4, 1] 2 + a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] 2 - a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] 2 2 + a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 3] a[3, 1] a[4, 2] + a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[3, 4] a[4, 3] - a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[3, 4] a[4, 2] + a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 3] a[4, 4] - a[1, 4] a[2, 1] a[2, 4] a[3, 4] a[4, 2] a[4, 3] - a[1, 4] a[2, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] + a[1, 4] a[2, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 2] - a[1, 4] a[2, 3] a[2, 4] a[3, 1] a[4, 2] a[4, 4] + a[1, 4] a[2, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3]) X[1, 3] + ( 2 2 a[1, 1] a[1, 2] a[2, 3] a[3, 4] 2 - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 3] 2 + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[4, 4] 2 2 - a[1, 1] a[1, 2] a[2, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] 2 + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[4, 2] 2 - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 4] - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 3] + a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[3, 4] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[3, 3] 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 4] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 4] a[4, 2] - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 2] + a[1, 1] a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[4, 3] 2 2 2 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] - a[1, 2] a[2, 3] a[3, 4] a[4, 4] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 4] 2 2 2 2 - a[1, 2] a[2, 3] a[2, 4] a[4, 4] + a[1, 2] a[2, 4] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 4] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[3, 4] 2 - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 3] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 4] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 2] 2 + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 3] + a[1, 2] a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 4] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 4] - a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 4] - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 4] + a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 2] 2 + a[1, 2] a[1, 4] a[2, 1] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 3] a[4, 2] + 2 a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 2] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 4] a[3, 4] a[4, 3] 3 3 + a[1, 3] a[2, 1] a[3, 2] a[3, 4] - a[1, 3] a[2, 4] a[3, 1] a[3, 2] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] 2 - a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 2] 2 - a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 4] 2 2 2 2 - a[1, 3] a[2, 3] a[3, 4] a[4, 2] + a[1, 3] a[2, 4] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 4] 2 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] + a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[3, 3] a[4, 2] - a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 2] - a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 3] + a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[3, 4] a[4, 2] 2 2 + a[1, 3] a[1, 4] a[2, 4] a[4, 2] + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[3, 3] a[4, 3] - 2 a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 2] a[2, 4] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 4] a[2, 3] a[2, 4] a[4, 2] + a[1, 4] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 3]) X[2, 1] + X[2, 4] ( 2 2 a[1, 2] a[2, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 4] 2 2 - a[1, 2] a[2, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 3] + a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 2] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 1] a[4, 3] 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 3] + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 4] a[2, 1] a[2, 3] a[4, 2] - a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 3]) = 0 in Maple notation (-a[1,1]*a[1,2]*a[2,1]*a[2,3]^2*a[3,4]+a[1,1]*a[1,2]*a[2,1]*a[2,3]*a[2,4]*a[3,3 ]-a[1,1]*a[1,2]*a[2,1]*a[2,3]*a[2,4]*a[4,4]+a[1,1]*a[1,2]*a[2,1]*a[2,4]^2*a[4,3 ]+a[1,1]*a[1,3]*a[2,1]*a[2,2]*a[2,3]*a[3,4]-a[1,1]*a[1,3]*a[2,1]*a[2,2]*a[2,4]* a[3,3]+a[1,1]*a[1,3]*a[2,1]*a[2,2]*a[2,4]*a[4,4]-a[1,1]*a[1,3]*a[2,1]*a[2,3]*a[ 3,3]*a[3,4]-a[1,1]*a[1,3]*a[2,1]*a[2,4]^2*a[4,2]+a[1,1]*a[1,3]*a[2,1]*a[2,4]*a[ 3,3]^2-a[1,1]*a[1,3]*a[2,1]*a[2,4]*a[3,3]*a[4,4]+a[1,1]*a[1,3]*a[2,1]*a[2,4]*a[ 3,4]*a[4,3]+a[1,1]*a[1,3]*a[2,3]^2*a[3,1]*a[3,4]-a[1,1]*a[1,3]*a[2,3]*a[2,4]*a[ 3,1]*a[3,3]+a[1,1]*a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[4,4]-a[1,1]*a[1,3]*a[2,4]^2*a[ 3,1]*a[4,3]-a[1,1]*a[1,4]*a[2,1]*a[2,2]*a[2,4]*a[4,3]+a[1,1]*a[1,4]*a[2,1]*a[2, 3]*a[2,4]*a[4,2]-a[1,1]*a[1,4]*a[2,1]*a[2,3]*a[3,4]*a[4,3]+a[1,1]*a[1,4]*a[2,1] *a[2,4]*a[3,3]*a[4,3]+a[1,2]*a[1,3]*a[2,1]^2*a[2,3]*a[3,4]-a[1,2]*a[1,3]*a[2,1] *a[2,3]*a[2,4]*a[3,1]-a[1,2]*a[1,4]*a[2,1]^2*a[2,3]*a[3,3]+a[1,2]*a[1,4]*a[2,1] ^2*a[2,3]*a[4,4]-a[1,2]*a[1,4]*a[2,1]^2*a[2,4]*a[4,3]+a[1,2]*a[1,4]*a[2,1]*a[2, 3]^2*a[3,1]+a[1,2]*a[2,1]*a[2,3]^2*a[3,4]*a[4,4]-a[1,2]*a[2,1]*a[2,3]*a[2,4]*a[ 3,3]*a[4,4]+a[1,2]*a[2,1]*a[2,3]*a[2,4]*a[4,4]^2-a[1,2]*a[2,1]*a[2,4]^2*a[4,3]* a[4,4]-a[1,2]*a[2,3]^2*a[2,4]*a[3,4]*a[4,1]+a[1,2]*a[2,3]*a[2,4]^2*a[3,3]*a[4,1 ]-a[1,2]*a[2,3]*a[2,4]^2*a[4,1]*a[4,4]+a[1,2]*a[2,4]^3*a[4,1]*a[4,3]-a[1,3]^2*a [2,1]^2*a[2,2]*a[3,4]+a[1,3]^2*a[2,1]^2*a[3,3]*a[3,4]+a[1,3]^2*a[2,1]*a[2,2]*a[ 2,4]*a[3,1]-a[1,3]^2*a[2,1]*a[2,3]*a[3,1]*a[3,4]-a[1,3]^2*a[2,1]*a[2,4]*a[3,1]* a[3,3]-a[1,3]^2*a[2,1]*a[2,4]*a[3,4]*a[4,1]+a[1,3]^2*a[2,3]*a[2,4]*a[3,1]^2+a[1 ,3]^2*a[2,4]^2*a[3,1]*a[4,1]+a[1,3]*a[1,4]*a[2,1]^2*a[2,2]*a[3,3]-a[1,3]*a[1,4] *a[2,1]^2*a[2,2]*a[4,4]+a[1,3]*a[1,4]*a[2,1]^2*a[2,4]*a[4,2]-a[1,3]*a[1,4]*a[2, 1]^2*a[3,3]^2+a[1,3]*a[1,4]*a[2,1]^2*a[3,3]*a[4,4]-a[1,3]*a[1,4]*a[2,1]*a[2,2]* a[2,3]*a[3,1]+2*a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[3,1]*a[3,3]-a[1,3]*a[1,4]*a[2,1]* a[2,3]*a[3,1]*a[4,4]+a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[3,4]*a[4,1]-a[1,3]*a[1,4]*a[ 2,3]^2*a[3,1]^2-a[1,3]*a[1,4]*a[2,3]*a[2,4]*a[3,1]*a[4,1]-a[1,3]*a[2,1]*a[2,2]* a[2,3]*a[3,4]*a[4,4]+a[1,3]*a[2,1]*a[2,2]*a[2,4]*a[3,3]*a[4,4]-a[1,3]*a[2,1]*a[ 2,2]*a[2,4]*a[3,4]*a[4,3]-a[1,3]*a[2,1]*a[2,2]*a[2,4]*a[4,4]^2+a[1,3]*a[2,1]*a[ 2,3]*a[2,4]*a[3,4]*a[4,2]+a[1,3]*a[2,1]*a[2,3]*a[3,3]*a[3,4]*a[4,4]-a[1,3]*a[2, 1]*a[2,3]*a[3,4]^2*a[4,3]+a[1,3]*a[2,1]*a[2,4]^2*a[4,2]*a[4,4]-a[1,3]*a[2,1]*a[ 2,4]*a[3,3]^2*a[4,4]+a[1,3]*a[2,1]*a[2,4]*a[3,3]*a[3,4]*a[4,3]+a[1,3]*a[2,1]*a[ 2,4]*a[3,3]*a[4,4]^2-a[1,3]*a[2,1]*a[2,4]*a[3,4]*a[4,3]*a[4,4]+a[1,3]*a[2,2]*a[ 2,3]*a[2,4]*a[3,4]*a[4,1]+a[1,3]*a[2,2]*a[2,4]^2*a[3,1]*a[4,3]-a[1,3]*a[2,2]*a[ 2,4]^2*a[3,3]*a[4,1]+a[1,3]*a[2,2]*a[2,4]^2*a[4,1]*a[4,4]-a[1,3]*a[2,3]^2*a[3,1 ]*a[3,4]*a[4,4]+a[1,3]*a[2,3]^2*a[3,4]^2*a[4,1]-a[1,3]*a[2,3]*a[2,4]^2*a[3,1]*a [4,2]+a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[3,3]*a[4,4]+a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[3 ,4]*a[4,3]-a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[4,4]^2-2*a[1,3]*a[2,3]*a[2,4]*a[3,3]*a [3,4]*a[4,1]+a[1,3]*a[2,3]*a[2,4]*a[3,4]*a[4,1]*a[4,4]-a[1,3]*a[2,4]^3*a[4,1]*a [4,2]-a[1,3]*a[2,4]^2*a[3,1]*a[3,3]*a[4,3]+a[1,3]*a[2,4]^2*a[3,1]*a[4,3]*a[4,4] +a[1,3]*a[2,4]^2*a[3,3]^2*a[4,1]-a[1,3]*a[2,4]^2*a[3,3]*a[4,1]*a[4,4]+a[1,4]^2* a[2,1]^2*a[2,2]*a[4,3]-a[1,4]^2*a[2,1]^2*a[2,3]*a[4,2]-a[1,4]^2*a[2,1]^2*a[3,3] *a[4,3]+a[1,4]^2*a[2,1]*a[2,3]*a[3,1]*a[4,3]+a[1,4]*a[2,1]*a[2,2]*a[2,3]*a[3,4] *a[4,3]+a[1,4]*a[2,1]*a[2,2]*a[2,4]*a[4,3]*a[4,4]-a[1,4]*a[2,1]*a[2,3]^2*a[3,4] *a[4,2]-a[1,4]*a[2,1]*a[2,3]*a[2,4]*a[4,2]*a[4,4]-a[1,4]*a[2,1]*a[2,4]*a[3,3]*a [4,3]*a[4,4]+a[1,4]*a[2,1]*a[2,4]*a[3,4]*a[4,3]^2-a[1,4]*a[2,2]*a[2,3]*a[2,4]*a [3,1]*a[4,3]-a[1,4]*a[2,2]*a[2,4]^2*a[4,1]*a[4,3]+a[1,4]*a[2,3]^2*a[2,4]*a[3,1] *a[4,2]+a[1,4]*a[2,3]*a[2,4]^2*a[4,1]*a[4,2]+a[1,4]*a[2,3]*a[2,4]*a[3,1]*a[4,3] *a[4,4]-a[1,4]*a[2,3]*a[2,4]*a[3,4]*a[4,1]*a[4,3]-a[1,4]*a[2,4]^2*a[3,1]*a[4,3] ^2+a[1,4]*a[2,4]^2*a[3,3]*a[4,1]*a[4,3])*X[1,2]+(-a[1,1]*a[1,2]*a[2,3]^2*a[3,1] *a[3,4]+a[1,1]*a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[3,3]-a[1,1]*a[1,2]*a[2,3]*a[2,4]*a [3,1]*a[4,4]+a[1,1]*a[1,2]*a[2,4]^2*a[3,1]*a[4,3]+a[1,1]*a[1,3]*a[2,1]*a[2,3]*a [3,2]*a[3,4]-a[1,1]*a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[3,3]+a[1,1]*a[1,3]*a[2,1]*a[2 ,4]*a[3,2]*a[4,4]-a[1,1]*a[1,3]*a[2,1]*a[2,4]*a[3,4]*a[4,2]+a[1,1]*a[1,4]*a[2,1 ]*a[2,3]*a[3,4]*a[4,2]-a[1,1]*a[1,4]*a[2,1]*a[2,4]*a[3,2]*a[4,3]+a[1,2]*a[1,3]* a[2,1]*a[2,3]*a[3,1]*a[3,4]+a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,4]*a[4,1]-a[1,2]*a[ 1,3]*a[2,3]*a[2,4]*a[3,1]^2-a[1,2]*a[1,3]*a[2,4]^2*a[3,1]*a[4,1]-a[1,2]*a[1,4]* a[2,1]*a[2,3]*a[3,1]*a[3,3]+a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,1]*a[4,4]-a[1,2]*a[ 1,4]*a[2,1]*a[2,3]*a[3,4]*a[4,1]-a[1,2]*a[1,4]*a[2,1]*a[2,4]*a[3,1]*a[4,3]+a[1, 2]*a[1,4]*a[2,3]^2*a[3,1]^2+a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[3,1]*a[4,1]+a[1,2]*a[ 2,3]^2*a[3,1]*a[3,4]*a[4,4]-a[1,2]*a[2,3]^2*a[3,4]^2*a[4,1]-a[1,2]*a[2,3]*a[2,4 ]*a[3,1]*a[3,3]*a[4,4]+a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[4,4]^2+a[1,2]*a[2,3]*a[2,4 ]*a[3,3]*a[3,4]*a[4,1]-a[1,2]*a[2,3]*a[2,4]*a[3,4]*a[4,1]*a[4,4]-a[1,2]*a[2,4]^ 2*a[3,1]*a[4,3]*a[4,4]+a[1,2]*a[2,4]^2*a[3,4]*a[4,1]*a[4,3]-a[1,3]^2*a[2,1]^2*a [3,2]*a[3,4]+a[1,3]^2*a[2,1]*a[2,4]*a[3,1]*a[3,2]+a[1,3]*a[1,4]*a[2,1]^2*a[3,2] *a[3,3]-a[1,3]*a[1,4]*a[2,1]^2*a[3,2]*a[4,4]-a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[3,1] *a[3,2]+a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[3,1]*a[4,2]-a[1,3]*a[2,1]*a[2,3]*a[3,2]*a [3,4]*a[4,4]+a[1,3]*a[2,1]*a[2,3]*a[3,4]^2*a[4,2]+a[1,3]*a[2,1]*a[2,4]*a[3,2]*a [3,3]*a[4,4]-a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[3,4]*a[4,3]-a[1,3]*a[2,1]*a[2,4]*a[3 ,2]*a[4,4]^2+a[1,3]*a[2,1]*a[2,4]*a[3,4]*a[4,2]*a[4,4]-a[1,3]*a[2,3]*a[2,4]*a[3 ,1]*a[3,4]*a[4,2]+a[1,3]*a[2,3]*a[2,4]*a[3,2]*a[3,4]*a[4,1]+a[1,3]*a[2,4]^2*a[3 ,1]*a[3,2]*a[4,3]-a[1,3]*a[2,4]^2*a[3,2]*a[3,3]*a[4,1]+a[1,3]*a[2,4]^2*a[3,2]*a [4,1]*a[4,4]-a[1,3]*a[2,4]^2*a[3,4]*a[4,1]*a[4,2]+a[1,4]^2*a[2,1]^2*a[3,2]*a[4, 3]-a[1,4]^2*a[2,1]*a[2,3]*a[3,1]*a[4,2]+a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[3,4]*a[4, 3]-a[1,4]*a[2,1]*a[2,3]*a[3,3]*a[3,4]*a[4,2]+a[1,4]*a[2,1]*a[2,4]*a[3,2]*a[4,3] *a[4,4]-a[1,4]*a[2,1]*a[2,4]*a[3,4]*a[4,2]*a[4,3]-a[1,4]*a[2,3]*a[2,4]*a[3,1]*a [3,2]*a[4,3]+a[1,4]*a[2,3]*a[2,4]*a[3,1]*a[3,3]*a[4,2]-a[1,4]*a[2,3]*a[2,4]*a[3 ,1]*a[4,2]*a[4,4]+a[1,4]*a[2,3]*a[2,4]*a[3,4]*a[4,1]*a[4,2]+a[1,4]*a[2,4]^2*a[3 ,1]*a[4,2]*a[4,3]-a[1,4]*a[2,4]^2*a[3,2]*a[4,1]*a[4,3])*X[1,3]+(a[1,1]*a[1,2]^2 *a[2,3]^2*a[3,4]-a[1,1]*a[1,2]^2*a[2,3]*a[2,4]*a[3,3]+a[1,1]*a[1,2]^2*a[2,3]*a[ 2,4]*a[4,4]-a[1,1]*a[1,2]^2*a[2,4]^2*a[4,3]-a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,3]* a[3,4]+a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,3]-a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[ 2,4]*a[4,4]+a[1,1]*a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[3,4]+a[1,1]*a[1,2]*a[1,3]*a[2, 4]^2*a[4,2]-a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,3]^2+a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[ 3,3]*a[4,4]-a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,4]*a[4,3]+a[1,1]*a[1,2]*a[1,4]*a[2, 2]*a[2,4]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[4,2]+a[1,1]*a[1,2]*a[1,4] *a[2,3]*a[3,4]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,4]*a[3,3]*a[4,3]-a[1,1]*a[1,3]^2 *a[2,3]*a[3,2]*a[3,4]+a[1,1]*a[1,3]^2*a[2,4]*a[3,2]*a[3,3]-a[1,1]*a[1,3]^2*a[2, 4]*a[3,2]*a[4,4]+a[1,1]*a[1,3]^2*a[2,4]*a[3,4]*a[4,2]-a[1,1]*a[1,3]*a[1,4]*a[2, 3]*a[3,4]*a[4,2]+a[1,1]*a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,3]-a[1,2]^2*a[1,3]*a[2, 1]*a[2,3]*a[3,4]+a[1,2]^2*a[1,3]*a[2,3]*a[2,4]*a[3,1]+a[1,2]^2*a[1,4]*a[2,1]*a[ 2,3]*a[3,3]-a[1,2]^2*a[1,4]*a[2,1]*a[2,3]*a[4,4]+a[1,2]^2*a[1,4]*a[2,1]*a[2,4]* a[4,3]-a[1,2]^2*a[1,4]*a[2,3]^2*a[3,1]-a[1,2]^2*a[2,3]^2*a[3,4]*a[4,4]+a[1,2]^2 *a[2,3]*a[2,4]*a[3,3]*a[4,4]-a[1,2]^2*a[2,3]*a[2,4]*a[4,4]^2+a[1,2]^2*a[2,4]^2* a[4,3]*a[4,4]+a[1,2]*a[1,3]^2*a[2,1]*a[2,2]*a[3,4]-a[1,2]*a[1,3]^2*a[2,1]*a[3,3 ]*a[3,4]-a[1,2]*a[1,3]^2*a[2,2]*a[2,4]*a[3,1]+a[1,2]*a[1,3]^2*a[2,4]*a[3,1]*a[3 ,3]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[3,3]+a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,2 ]*a[4,4]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[4,2]+a[1,2]*a[1,3]*a[1,4]*a[2,1]* a[3,3]^2-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,4]+a[1,2]*a[1,3]*a[1,4]*a[2,2]* a[2,3]*a[3,1]-a[1,2]*a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,3]+a[1,2]*a[1,3]*a[1,4]*a[ 2,4]*a[3,1]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,4]-a[1,2]*a[1,3]*a[2, 2]*a[2,4]*a[3,3]*a[4,4]+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,4]*a[4,3]+a[1,2]*a[1,3] *a[2,2]*a[2,4]*a[4,4]^2-a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[3,4]*a[4,4]+a[1,2]*a[1,3] *a[2,3]*a[3,4]^2*a[4,3]-a[1,2]*a[1,3]*a[2,4]^2*a[3,2]*a[4,3]-a[1,2]*a[1,3]*a[2, 4]^2*a[4,2]*a[4,4]+a[1,2]*a[1,3]*a[2,4]*a[3,3]^2*a[4,4]-a[1,2]*a[1,3]*a[2,4]*a[ 3,3]*a[3,4]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,4]^2+a[1,2]*a[1,3]*a[2,4]*a[ 3,4]*a[4,3]*a[4,4]-a[1,2]*a[1,4]^2*a[2,1]*a[2,2]*a[4,3]+a[1,2]*a[1,4]^2*a[2,1]* a[2,3]*a[4,2]+a[1,2]*a[1,4]^2*a[2,1]*a[3,3]*a[4,3]-a[1,2]*a[1,4]^2*a[2,3]*a[3,1 ]*a[4,3]-a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,4]*a[4,3]-a[1,2]*a[1,4]*a[2,2]*a[2,4]* a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,3]^2*a[3,4]*a[4,2]+a[1,2]*a[1,4]*a[2,3]*a[2,4]* a[3,2]*a[4,3]-a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[3,3]*a[4,2]+2*a[1,2]*a[1,4]*a[2,3]* a[2,4]*a[4,2]*a[4,4]-a[1,2]*a[1,4]*a[2,4]^2*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[2,4]* a[3,3]*a[4,3]*a[4,4]-a[1,2]*a[1,4]*a[2,4]*a[3,4]*a[4,3]^2+a[1,3]^3*a[2,1]*a[3,2 ]*a[3,4]-a[1,3]^3*a[2,4]*a[3,1]*a[3,2]-a[1,3]^2*a[1,4]*a[2,1]*a[3,2]*a[3,3]+a[1 ,3]^2*a[1,4]*a[2,1]*a[3,2]*a[4,4]+a[1,3]^2*a[1,4]*a[2,3]*a[3,1]*a[3,2]-a[1,3]^2 *a[1,4]*a[2,4]*a[3,1]*a[4,2]-a[1,3]^2*a[2,2]*a[2,4]*a[3,4]*a[4,2]+a[1,3]^2*a[2, 3]*a[3,2]*a[3,4]*a[4,4]-a[1,3]^2*a[2,3]*a[3,4]^2*a[4,2]+a[1,3]^2*a[2,4]^2*a[3,2 ]*a[4,2]-a[1,3]^2*a[2,4]*a[3,2]*a[3,3]*a[4,4]+a[1,3]^2*a[2,4]*a[3,2]*a[4,4]^2+a [1,3]^2*a[2,4]*a[3,3]*a[3,4]*a[4,2]-a[1,3]^2*a[2,4]*a[3,4]*a[4,2]*a[4,4]-a[1,3] *a[1,4]^2*a[2,1]*a[3,2]*a[4,3]+a[1,3]*a[1,4]^2*a[2,3]*a[3,1]*a[4,2]+a[1,3]*a[1, 4]*a[2,2]*a[2,4]*a[3,3]*a[4,2]-a[1,3]*a[1,4]*a[2,2]*a[2,4]*a[4,2]*a[4,4]-a[1,3] *a[1,4]*a[2,3]*a[2,4]*a[3,2]*a[4,2]-a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[3,4]*a[4,3]+a [1,3]*a[1,4]*a[2,3]*a[3,3]*a[3,4]*a[4,2]+a[1,3]*a[1,4]*a[2,4]^2*a[4,2]^2+a[1,3] *a[1,4]*a[2,4]*a[3,2]*a[3,3]*a[4,3]-2*a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,3]*a[4,4] -a[1,3]*a[1,4]*a[2,4]*a[3,3]^2*a[4,2]+a[1,3]*a[1,4]*a[2,4]*a[3,3]*a[4,2]*a[4,4] +a[1,3]*a[1,4]*a[2,4]*a[3,4]*a[4,2]*a[4,3]+a[1,4]^2*a[2,2]*a[2,4]*a[4,2]*a[4,3] -a[1,4]^2*a[2,3]*a[2,4]*a[4,2]^2+a[1,4]^2*a[2,4]*a[3,2]*a[4,3]^2-a[1,4]^2*a[2,4 ]*a[3,3]*a[4,2]*a[4,3])*X[2,1]+X[2,4]*(a[1,2]^2*a[2,3]^2*a[3,4]*a[4,1]-a[1,2]^2 *a[2,3]*a[2,4]*a[3,3]*a[4,1]+a[1,2]^2*a[2,3]*a[2,4]*a[4,1]*a[4,4]-a[1,2]^2*a[2, 4]^2*a[4,1]*a[4,3]-a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,4]*a[4,2]+a[1,2]*a[1,3]*a[2, 1]*a[2,4]*a[3,2]*a[4,3]-a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,1]-a[1,2]*a[1,3] *a[2,2]*a[2,4]*a[3,1]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,3]*a[4,1]-a[1,2]*a [1,3]*a[2,2]*a[2,4]*a[4,1]*a[4,4]+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[4,2]-a[1 ,2]*a[1,3]*a[2,3]*a[3,1]*a[3,4]*a[4,3]+a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[3,4]*a[4,1 ]+a[1,2]*a[1,3]*a[2,4]^2*a[4,1]*a[4,2]+a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[3,3]*a[4,3 ]-a[1,2]*a[1,3]*a[2,4]*a[3,3]^2*a[4,1]+a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,1]*a[4,4 ]-a[1,2]*a[1,3]*a[2,4]*a[3,4]*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,2]* a[4,3]+a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,3]*a[4,2]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[ 4,2]*a[4,4]+a[1,2]*a[1,4]*a[2,1]*a[2,4]*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2, 3]*a[3,1]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,4]*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,3] ^2*a[3,1]*a[4,2]-a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[4,1]*a[4,2]-a[1,2]*a[1,4]*a[2,3] *a[3,1]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,3]+a[1,2]*a[1,4]*a [2,4]*a[3,1]*a[4,3]^2-a[1,2]*a[1,4]*a[2,4]*a[3,3]*a[4,1]*a[4,3]+a[1,3]^2*a[2,1] *a[2,2]*a[3,4]*a[4,2]-a[1,3]^2*a[2,1]*a[2,4]*a[3,2]*a[4,2]+a[1,3]^2*a[2,1]*a[3, 2]*a[3,4]*a[4,3]-a[1,3]^2*a[2,1]*a[3,3]*a[3,4]*a[4,2]+a[1,3]^2*a[2,3]*a[3,1]*a[ 3,4]*a[4,2]-a[1,3]^2*a[2,3]*a[3,2]*a[3,4]*a[4,1]-a[1,3]^2*a[2,4]*a[3,1]*a[3,2]* a[4,3]+a[1,3]^2*a[2,4]*a[3,2]*a[3,3]*a[4,1]-a[1,3]^2*a[2,4]*a[3,2]*a[4,1]*a[4,4 ]+a[1,3]^2*a[2,4]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[3,3]*a[4,2 ]+a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[3,2]* a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[4,2]^2-a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[3,3]* a[4,3]+a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[4,3]*a[4,4]+a[1,3]*a[1,4]*a[2,1]*a[3,3]^2* a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[ 3,2]*a[4,3]-a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,3]*a[4,2]+a[1,3]*a[1,4]*a[2,3]*a[3, 1]*a[4,2]*a[4,4]-a[1,3]*a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,4] *a[3,1]*a[4,2]*a[4,3]+a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,1]*a[4,3]-a[1,4]^2*a[2,1] *a[2,2]*a[4,2]*a[4,3]+a[1,4]^2*a[2,1]*a[2,3]*a[4,2]^2-a[1,4]^2*a[2,1]*a[3,2]*a[ 4,3]^2+a[1,4]^2*a[2,1]*a[3,3]*a[4,2]*a[4,3]) = 0 ------------------------------------ Theorem number, 5, : let, {X[1, 2], X[1, 3], X[2, 1], X[3, 1]}, be the entrie\ s of an ARBITRARY power of the general matrix M, we always have the line\ ar relation 2 (a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[2, 1] a[2, 2] a[2, 3] a[3, 4] a[4, 1] + a[1, 2] a[2, 1] a[2, 2] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[2, 1] a[2, 3] a[2, 4] a[3, 1] a[4, 2] + a[1, 2] a[2, 1] a[2, 3] a[2, 4] a[3, 2] a[4, 1] + a[1, 2] a[2, 1] a[2, 3] a[3, 1] a[3, 4] a[4, 3] + a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 1] a[4, 4] - a[1, 2] a[2, 1] a[2, 4] a[3, 1] a[3, 3] a[4, 3] - a[1, 2] a[2, 1] a[2, 4] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 1] + a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 1] - a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 3] 2 - a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] 2 + a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 1] - a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[3, 2] a[4, 1] - a[1, 3] a[2, 1] a[2, 2] a[3, 3] a[3, 4] a[4, 1] - a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 1] a[4, 4] - a[1, 3] a[2, 1] a[2, 3] a[3, 1] a[3, 4] a[4, 2] + a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[3, 4] a[4, 1] + a[1, 3] a[2, 1] a[2, 4] a[3, 1] a[3, 2] a[4, 3] + a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 4] + a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 3] + a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 1] 2 + a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 1] - a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 1] - a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 4] 2 2 2 2 + a[1, 3] a[2, 3] a[3, 4] a[4, 1] - a[1, 3] a[2, 4] a[3, 2] a[4, 1] + a[1, 3] a[2, 4] a[3, 1] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 1] 2 + a[1, 4] a[2, 1] a[2, 2] a[3, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 2] 2 - a[1, 4] a[2, 1] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 4] a[2, 1] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[4, 3] + a[1, 4] a[2, 1] a[2, 2] a[2, 3] a[3, 1] a[4, 2] + a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[3, 3] a[4, 3] + a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[4, 3] a[4, 4] - a[1, 4] a[2, 1] a[2, 3] a[3, 1] a[3, 3] a[4, 2] - a[1, 4] a[2, 1] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 4] a[2, 1] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 3] - a[1, 4] a[2, 1] a[3, 1] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 4] a[2, 1] a[3, 1] a[3, 4] a[4, 3] 2 - a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 3] - a[1, 4] a[2, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 3] 2 2 + a[1, 4] a[2, 3] a[3, 1] a[4, 2] + a[1, 4] a[2, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 3] a[3, 1] a[4, 3] a[4, 4] - a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 3] 2 2 - a[1, 4] a[2, 4] a[3, 1] a[4, 3] + a[1, 4] a[2, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 3]) X[1, 2] + ( a[1, 2] a[2, 1] a[2, 3] a[3, 1] a[3, 4] a[4, 2] - a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[3, 4] a[4, 1] - a[1, 2] a[2, 1] a[2, 4] a[3, 1] a[3, 2] a[4, 3] + a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[3, 3] a[4, 1] - a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 4] + a[1, 2] a[2, 1] a[2, 4] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 1] + a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 2] a[2, 4] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 2] + a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 1] 2 + a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] - a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[3, 4] a[4, 1] + a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 4] 2 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 2 + a[1, 2] a[2, 4] a[3, 2] a[4, 1] 2 - a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 3] 2 + a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 1] - a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 1] - a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[3, 4] a[4, 2] + a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[3, 4] a[4, 1] + a[1, 3] a[2, 1] a[2, 4] a[3, 1] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 1] - a[1, 3] a[2, 1] a[3, 1] a[3, 2] a[3, 4] a[4, 3] + a[1, 3] a[2, 1] a[3, 1] a[3, 3] a[3, 4] a[4, 2] - a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] + a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[3, 4] a[4, 1] 2 + a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[3, 3] a[4, 1] + a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 4] - a[1, 3] a[2, 4] a[3, 1] a[3, 4] a[4, 1] a[4, 2] 2 2 + a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 2] 2 + a[1, 4] a[2, 1] a[3, 2] a[4, 2] a[4, 4] 2 2 - a[1, 4] a[2, 1] a[3, 4] a[4, 2] - a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[3, 2] a[4, 3] + a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[3, 3] a[4, 2] - a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[4, 2] a[4, 4] + a[1, 4] a[2, 1] a[2, 2] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 1] a[2, 4] a[3, 1] a[4, 2] - a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 2] + a[1, 4] a[2, 1] a[3, 1] a[3, 2] a[3, 3] a[4, 3] 2 - a[1, 4] a[2, 1] a[3, 1] a[3, 3] a[4, 2] + a[1, 4] a[2, 1] a[3, 1] a[3, 3] a[4, 2] a[4, 4] - a[1, 4] a[2, 1] a[3, 1] a[3, 4] a[4, 2] a[4, 3] + a[1, 4] a[2, 1] a[3, 2] a[3, 4] a[4, 1] a[4, 3] - a[1, 4] a[2, 1] a[3, 3] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] 2 - a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 4] + a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 4] a[2, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 3]) X[1, 3] + ( 2 -a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 2] a[2, 2] a[2, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[4, 3] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 2] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 1] 2 - a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 3] 2 + a[1, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 2] - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 1] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 2] a[4, 1] + a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[3, 4] a[4, 1] + a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] - a[1, 2] a[1, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[3, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[3, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 2] + a[1, 2] a[1, 4] a[2, 1] a[3, 2] a[4, 3] a[4, 4] - a[1, 2] a[1, 4] a[2, 1] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 2] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 2] a[3, 1] a[3, 3] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[3, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 4] + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3] + a[1, 2] a[1, 4] a[3, 1] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[3, 1] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 2] a[3, 2] a[3, 4] a[4, 1] 2 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 1] 2 + a[1, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 4] 2 2 - a[1, 3] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 3] + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 4] a[4, 2] + a[1, 3] a[1, 4] a[2, 2] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 2] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 2] + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[3, 1] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[1, 4] a[3, 1] a[3, 4] a[4, 2] a[4, 3] - a[1, 3] a[1, 4] a[3, 2] a[3, 4] a[4, 1] a[4, 3] + a[1, 3] a[1, 4] a[3, 3] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 2] a[3, 1] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 4] a[2, 3] a[3, 1] a[4, 2] + a[1, 4] a[3, 1] a[3, 2] a[4, 3] 2 - a[1, 4] a[3, 1] a[3, 3] a[4, 2] a[4, 3]) X[2, 1] + X[3, 1] ( 2 2 a[1, 2] a[2, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 4] 2 2 - a[1, 2] a[2, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 3] + a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 2] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 1] a[4, 3] 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 3] + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 4] a[2, 1] a[2, 3] a[4, 2] - a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 3]) = 0 in Maple notation (a[1,2]*a[2,1]^2*a[2,3]*a[3,4]*a[4,2]-a[1,2]*a[2,1]^2*a[2,4]*a[3,2]*a[4,3]-a[1, 2]*a[2,1]*a[2,2]*a[2,3]*a[3,4]*a[4,1]+a[1,2]*a[2,1]*a[2,2]*a[2,4]*a[3,1]*a[4,3] -a[1,2]*a[2,1]*a[2,3]*a[2,4]*a[3,1]*a[4,2]+a[1,2]*a[2,1]*a[2,3]*a[2,4]*a[3,2]*a [4,1]+a[1,2]*a[2,1]*a[2,3]*a[3,1]*a[3,4]*a[4,3]+a[1,2]*a[2,1]*a[2,3]*a[3,4]*a[4 ,1]*a[4,4]-a[1,2]*a[2,1]*a[2,4]*a[3,1]*a[3,3]*a[4,3]-a[1,2]*a[2,1]*a[2,4]*a[3,4 ]*a[4,1]*a[4,3]-a[1,2]*a[2,3]^2*a[3,1]*a[3,4]*a[4,1]+a[1,2]*a[2,3]*a[2,4]*a[3,1 ]*a[3,3]*a[4,1]-a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[4,1]*a[4,4]+a[1,2]*a[2,4]^2*a[3,1 ]*a[4,1]*a[4,3]-a[1,3]*a[2,1]^2*a[2,2]*a[3,4]*a[4,2]+a[1,3]*a[2,1]^2*a[2,4]*a[3 ,2]*a[4,2]-a[1,3]*a[2,1]^2*a[3,2]*a[3,4]*a[4,3]+a[1,3]*a[2,1]^2*a[3,3]*a[3,4]*a [4,2]+a[1,3]*a[2,1]*a[2,2]^2*a[3,4]*a[4,1]-a[1,3]*a[2,1]*a[2,2]*a[2,4]*a[3,2]*a [4,1]-a[1,3]*a[2,1]*a[2,2]*a[3,3]*a[3,4]*a[4,1]-a[1,3]*a[2,1]*a[2,2]*a[3,4]*a[4 ,1]*a[4,4]-a[1,3]*a[2,1]*a[2,3]*a[3,1]*a[3,4]*a[4,2]+a[1,3]*a[2,1]*a[2,3]*a[3,2 ]*a[3,4]*a[4,1]+a[1,3]*a[2,1]*a[2,4]*a[3,1]*a[3,2]*a[4,3]+a[1,3]*a[2,1]*a[2,4]* a[3,2]*a[4,1]*a[4,4]+a[1,3]*a[2,1]*a[3,3]*a[3,4]*a[4,1]*a[4,4]-a[1,3]*a[2,1]*a[ 3,4]^2*a[4,1]*a[4,3]+a[1,3]*a[2,2]*a[2,3]*a[3,1]*a[3,4]*a[4,1]+a[1,3]*a[2,2]*a[ 2,4]*a[3,4]*a[4,1]^2-a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[3,2]*a[4,1]-a[1,3]*a[2,3]*a[ 3,1]*a[3,4]*a[4,1]*a[4,4]+a[1,3]*a[2,3]*a[3,4]^2*a[4,1]^2-a[1,3]*a[2,4]^2*a[3,2 ]*a[4,1]^2+a[1,3]*a[2,4]*a[3,1]*a[3,4]*a[4,1]*a[4,3]-a[1,3]*a[2,4]*a[3,3]*a[3,4 ]*a[4,1]^2+a[1,4]*a[2,1]^2*a[2,2]*a[3,2]*a[4,3]-a[1,4]*a[2,1]^2*a[2,3]*a[3,2]*a [4,2]-a[1,4]*a[2,1]^2*a[3,2]*a[4,3]*a[4,4]+a[1,4]*a[2,1]^2*a[3,4]*a[4,2]*a[4,3] -a[1,4]*a[2,1]*a[2,2]^2*a[3,1]*a[4,3]+a[1,4]*a[2,1]*a[2,2]*a[2,3]*a[3,1]*a[4,2] +a[1,4]*a[2,1]*a[2,2]*a[3,1]*a[3,3]*a[4,3]+a[1,4]*a[2,1]*a[2,2]*a[3,1]*a[4,3]*a [4,4]-a[1,4]*a[2,1]*a[2,3]*a[3,1]*a[3,3]*a[4,2]-a[1,4]*a[2,1]*a[2,3]*a[3,4]*a[4 ,1]*a[4,2]-a[1,4]*a[2,1]*a[2,4]*a[3,1]*a[4,2]*a[4,3]+a[1,4]*a[2,1]*a[2,4]*a[3,2 ]*a[4,1]*a[4,3]-a[1,4]*a[2,1]*a[3,1]*a[3,3]*a[4,3]*a[4,4]+a[1,4]*a[2,1]*a[3,1]* a[3,4]*a[4,3]^2-a[1,4]*a[2,2]*a[2,3]*a[3,1]^2*a[4,3]-a[1,4]*a[2,2]*a[2,4]*a[3,1 ]*a[4,1]*a[4,3]+a[1,4]*a[2,3]^2*a[3,1]^2*a[4,2]+a[1,4]*a[2,3]*a[2,4]*a[3,1]*a[4 ,1]*a[4,2]+a[1,4]*a[2,3]*a[3,1]^2*a[4,3]*a[4,4]-a[1,4]*a[2,3]*a[3,1]*a[3,4]*a[4 ,1]*a[4,3]-a[1,4]*a[2,4]*a[3,1]^2*a[4,3]^2+a[1,4]*a[2,4]*a[3,1]*a[3,3]*a[4,1]*a [4,3])*X[1,2]+(a[1,2]*a[2,1]*a[2,3]*a[3,1]*a[3,4]*a[4,2]-a[1,2]*a[2,1]*a[2,3]*a [3,2]*a[3,4]*a[4,1]-a[1,2]*a[2,1]*a[2,4]*a[3,1]*a[3,2]*a[4,3]+a[1,2]*a[2,1]*a[2 ,4]*a[3,2]*a[3,3]*a[4,1]-a[1,2]*a[2,1]*a[2,4]*a[3,2]*a[4,1]*a[4,4]+a[1,2]*a[2,1 ]*a[2,4]*a[3,4]*a[4,1]*a[4,2]+a[1,2]*a[2,2]*a[2,4]*a[3,1]^2*a[4,3]-a[1,2]*a[2,2 ]*a[2,4]*a[3,1]*a[3,3]*a[4,1]+a[1,2]*a[2,2]*a[2,4]*a[3,1]*a[4,1]*a[4,4]-a[1,2]* a[2,2]*a[2,4]*a[3,4]*a[4,1]^2-a[1,2]*a[2,3]*a[2,4]*a[3,1]^2*a[4,2]+a[1,2]*a[2,3 ]*a[2,4]*a[3,1]*a[3,2]*a[4,1]+a[1,2]*a[2,3]*a[3,1]^2*a[3,4]*a[4,3]-a[1,2]*a[2,3 ]*a[3,1]*a[3,3]*a[3,4]*a[4,1]+a[1,2]*a[2,3]*a[3,1]*a[3,4]*a[4,1]*a[4,4]-a[1,2]* a[2,3]*a[3,4]^2*a[4,1]^2-a[1,2]*a[2,4]^2*a[3,1]*a[4,1]*a[4,2]+a[1,2]*a[2,4]^2*a [3,2]*a[4,1]^2-a[1,2]*a[2,4]*a[3,1]^2*a[3,3]*a[4,3]+a[1,2]*a[2,4]*a[3,1]*a[3,3] ^2*a[4,1]-a[1,2]*a[2,4]*a[3,1]*a[3,3]*a[4,1]*a[4,4]+a[1,2]*a[2,4]*a[3,3]*a[3,4] *a[4,1]^2-a[1,3]*a[2,1]*a[2,2]*a[3,1]*a[3,4]*a[4,2]+a[1,3]*a[2,1]*a[2,2]*a[3,2] *a[3,4]*a[4,1]+a[1,3]*a[2,1]*a[2,4]*a[3,1]*a[3,2]*a[4,2]-a[1,3]*a[2,1]*a[2,4]*a [3,2]^2*a[4,1]-a[1,3]*a[2,1]*a[3,1]*a[3,2]*a[3,4]*a[4,3]+a[1,3]*a[2,1]*a[3,1]*a [3,3]*a[3,4]*a[4,2]-a[1,3]*a[2,1]*a[3,2]*a[3,4]*a[4,1]*a[4,4]+a[1,3]*a[2,1]*a[3 ,4]^2*a[4,1]*a[4,2]-a[1,3]*a[2,3]*a[3,1]^2*a[3,4]*a[4,2]+a[1,3]*a[2,3]*a[3,1]*a [3,2]*a[3,4]*a[4,1]+a[1,3]*a[2,4]*a[3,1]^2*a[3,2]*a[4,3]-a[1,3]*a[2,4]*a[3,1]*a [3,2]*a[3,3]*a[4,1]+a[1,3]*a[2,4]*a[3,1]*a[3,2]*a[4,1]*a[4,4]-a[1,3]*a[2,4]*a[3 ,1]*a[3,4]*a[4,1]*a[4,2]+a[1,4]*a[2,1]^2*a[3,2]^2*a[4,3]-a[1,4]*a[2,1]^2*a[3,2] *a[3,3]*a[4,2]+a[1,4]*a[2,1]^2*a[3,2]*a[4,2]*a[4,4]-a[1,4]*a[2,1]^2*a[3,4]*a[4, 2]^2-a[1,4]*a[2,1]*a[2,2]*a[3,1]*a[3,2]*a[4,3]+a[1,4]*a[2,1]*a[2,2]*a[3,1]*a[3, 3]*a[4,2]-a[1,4]*a[2,1]*a[2,2]*a[3,1]*a[4,2]*a[4,4]+a[1,4]*a[2,1]*a[2,2]*a[3,4] *a[4,1]*a[4,2]+a[1,4]*a[2,1]*a[2,4]*a[3,1]*a[4,2]^2-a[1,4]*a[2,1]*a[2,4]*a[3,2] *a[4,1]*a[4,2]+a[1,4]*a[2,1]*a[3,1]*a[3,2]*a[3,3]*a[4,3]-a[1,4]*a[2,1]*a[3,1]*a [3,3]^2*a[4,2]+a[1,4]*a[2,1]*a[3,1]*a[3,3]*a[4,2]*a[4,4]-a[1,4]*a[2,1]*a[3,1]*a [3,4]*a[4,2]*a[4,3]+a[1,4]*a[2,1]*a[3,2]*a[3,4]*a[4,1]*a[4,3]-a[1,4]*a[2,1]*a[3 ,3]*a[3,4]*a[4,1]*a[4,2]-a[1,4]*a[2,3]*a[3,1]^2*a[3,2]*a[4,3]+a[1,4]*a[2,3]*a[3 ,1]^2*a[3,3]*a[4,2]-a[1,4]*a[2,3]*a[3,1]^2*a[4,2]*a[4,4]+a[1,4]*a[2,3]*a[3,1]*a [3,4]*a[4,1]*a[4,2]+a[1,4]*a[2,4]*a[3,1]^2*a[4,2]*a[4,3]-a[1,4]*a[2,4]*a[3,1]*a [3,2]*a[4,1]*a[4,3])*X[1,3]+(-a[1,2]^2*a[2,1]*a[2,3]*a[3,4]*a[4,2]+a[1,2]^2*a[2 ,1]*a[2,4]*a[3,2]*a[4,3]+a[1,2]^2*a[2,2]*a[2,3]*a[3,4]*a[4,1]-a[1,2]^2*a[2,2]*a [2,4]*a[3,1]*a[4,3]+a[1,2]^2*a[2,3]*a[2,4]*a[3,1]*a[4,2]-a[1,2]^2*a[2,3]*a[2,4] *a[3,2]*a[4,1]-a[1,2]^2*a[2,3]*a[3,1]*a[3,4]*a[4,3]-a[1,2]^2*a[2,3]*a[3,4]*a[4, 1]*a[4,4]+a[1,2]^2*a[2,4]*a[3,1]*a[3,3]*a[4,3]+a[1,2]^2*a[2,4]*a[3,4]*a[4,1]*a[ 4,3]+a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[3,4]*a[4,2]-a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3, 2]*a[4,2]+a[1,2]*a[1,3]*a[2,1]*a[3,2]*a[3,4]*a[4,3]-a[1,2]*a[1,3]*a[2,1]*a[3,3] *a[3,4]*a[4,2]-a[1,2]*a[1,3]*a[2,2]^2*a[3,4]*a[4,1]+a[1,2]*a[1,3]*a[2,2]*a[2,4] *a[3,2]*a[4,1]+a[1,2]*a[1,3]*a[2,2]*a[3,3]*a[3,4]*a[4,1]+a[1,2]*a[1,3]*a[2,2]*a [3,4]*a[4,1]*a[4,4]+a[1,2]*a[1,3]*a[2,3]*a[3,1]*a[3,4]*a[4,2]-a[1,2]*a[1,3]*a[2 ,4]*a[3,1]*a[3,2]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[3,2]*a[3,3]*a[4,1]-a[1,2]*a[1,3 ]*a[2,4]*a[3,4]*a[4,1]*a[4,2]-a[1,2]*a[1,3]*a[3,3]*a[3,4]*a[4,1]*a[4,4]+a[1,2]* a[1,3]*a[3,4]^2*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[2,2]*a[3,2]*a[4,3]+a[1,2]* a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[4,2]+a[1,2]*a[1,4]*a[2,1]*a[3,2]*a[4,3]*a[4,4]-a[ 1,2]*a[1,4]*a[2,1]*a[3,4]*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[2,2]^2*a[3,1]*a[4,3]-a[ 1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,1]*a[4,2]-a[1,2]*a[1,4]*a[2,2]*a[3,1]*a[3,3]*a[4, 3]-a[1,2]*a[1,4]*a[2,2]*a[3,1]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[3,2] *a[4,3]+a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[4,2]*a[4,4]+a[1,2]*a[1,4]*a[2,3]*a[3,4]*a [4,1]*a[4,2]-a[1,2]*a[1,4]*a[2,4]*a[3,2]*a[4,1]*a[4,3]+a[1,2]*a[1,4]*a[3,1]*a[3 ,3]*a[4,3]*a[4,4]-a[1,2]*a[1,4]*a[3,1]*a[3,4]*a[4,3]^2-a[1,3]^2*a[2,2]*a[3,2]*a [3,4]*a[4,1]+a[1,3]^2*a[2,4]*a[3,2]^2*a[4,1]+a[1,3]^2*a[3,2]*a[3,4]*a[4,1]*a[4, 4]-a[1,3]^2*a[3,4]^2*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[3,2]^2*a[4,3]+a[1,3]* a[1,4]*a[2,1]*a[3,2]*a[3,3]*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[4,2]*a[4,4]+a[ 1,3]*a[1,4]*a[2,1]*a[3,4]*a[4,2]^2+a[1,3]*a[1,4]*a[2,2]*a[3,1]*a[3,2]*a[4,3]-a[ 1,3]*a[1,4]*a[2,2]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4, 2]+a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[3,1]*a[3,2]*a[4,3] *a[4,4]+a[1,3]*a[1,4]*a[3,1]*a[3,4]*a[4,2]*a[4,3]-a[1,3]*a[1,4]*a[3,2]*a[3,4]*a [4,1]*a[4,3]+a[1,3]*a[1,4]*a[3,3]*a[3,4]*a[4,1]*a[4,2]+a[1,4]^2*a[2,2]*a[3,1]*a [4,2]*a[4,3]-a[1,4]^2*a[2,3]*a[3,1]*a[4,2]^2+a[1,4]^2*a[3,1]*a[3,2]*a[4,3]^2-a[ 1,4]^2*a[3,1]*a[3,3]*a[4,2]*a[4,3])*X[2,1]+X[3,1]*(a[1,2]^2*a[2,3]^2*a[3,4]*a[4 ,1]-a[1,2]^2*a[2,3]*a[2,4]*a[3,3]*a[4,1]+a[1,2]^2*a[2,3]*a[2,4]*a[4,1]*a[4,4]-a [1,2]^2*a[2,4]^2*a[4,1]*a[4,3]-a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,4]*a[4,2]+a[1,2] *a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[4,3]-a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,1]-a [1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,1]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,3]*a[4 ,1]-a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,1]*a[4,4]+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,1 ]*a[4,2]-a[1,2]*a[1,3]*a[2,3]*a[3,1]*a[3,4]*a[4,3]+a[1,2]*a[1,3]*a[2,3]*a[3,3]* a[3,4]*a[4,1]+a[1,2]*a[1,3]*a[2,4]^2*a[4,1]*a[4,2]+a[1,2]*a[1,3]*a[2,4]*a[3,1]* a[3,3]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[3,3]^2*a[4,1]+a[1,2]*a[1,3]*a[2,4]*a[3,3]* a[4,1]*a[4,4]-a[1,2]*a[1,3]*a[2,4]*a[3,4]*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[ 2,3]*a[3,2]*a[4,3]+a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,3]*a[4,2]-a[1,2]*a[1,4]*a[2, 1]*a[2,3]*a[4,2]*a[4,4]+a[1,2]*a[1,4]*a[2,1]*a[2,4]*a[4,2]*a[4,3]+a[1,2]*a[1,4] *a[2,2]*a[2,3]*a[3,1]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,4]*a[4,1]*a[4,3]-a[1,2]*a [1,4]*a[2,3]^2*a[3,1]*a[4,2]-a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[4,1]*a[4,2]-a[1,2]*a [1,4]*a[2,3]*a[3,1]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,3]+a[1 ,2]*a[1,4]*a[2,4]*a[3,1]*a[4,3]^2-a[1,2]*a[1,4]*a[2,4]*a[3,3]*a[4,1]*a[4,3]+a[1 ,3]^2*a[2,1]*a[2,2]*a[3,4]*a[4,2]-a[1,3]^2*a[2,1]*a[2,4]*a[3,2]*a[4,2]+a[1,3]^2 *a[2,1]*a[3,2]*a[3,4]*a[4,3]-a[1,3]^2*a[2,1]*a[3,3]*a[3,4]*a[4,2]+a[1,3]^2*a[2, 3]*a[3,1]*a[3,4]*a[4,2]-a[1,3]^2*a[2,3]*a[3,2]*a[3,4]*a[4,1]-a[1,3]^2*a[2,4]*a[ 3,1]*a[3,2]*a[4,3]+a[1,3]^2*a[2,4]*a[3,2]*a[3,3]*a[4,1]-a[1,3]^2*a[2,4]*a[3,2]* a[4,1]*a[4,4]+a[1,3]^2*a[2,4]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[2,2]* a[3,3]*a[4,2]+a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,1]*a[ 2,3]*a[3,2]*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[4,2]^2-a[1,3]*a[1,4]*a[2,1]*a[ 3,2]*a[3,3]*a[4,3]+a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[4,3]*a[4,4]+a[1,3]*a[1,4]*a[2, 1]*a[3,3]^2*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2, 3]*a[3,1]*a[3,2]*a[4,3]-a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,3]*a[4,2]+a[1,3]*a[1,4] *a[2,3]*a[3,1]*a[4,2]*a[4,4]-a[1,3]*a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a [1,4]*a[2,4]*a[3,1]*a[4,2]*a[4,3]+a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,1]*a[4,3]-a[1 ,4]^2*a[2,1]*a[2,2]*a[4,2]*a[4,3]+a[1,4]^2*a[2,1]*a[2,3]*a[4,2]^2-a[1,4]^2*a[2, 1]*a[3,2]*a[4,3]^2+a[1,4]^2*a[2,1]*a[3,3]*a[4,2]*a[4,3]) = 0 ------------------------------------ Theorem number, 6, : let, {X[1, 2], X[1, 3], X[2, 1], X[3, 2]}, be the entrie\ s of an ARBITRARY power of the general matrix M, we always have the line\ ar relation (-a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 2] + a[1, 1] a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 3] + a[1, 1] a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 2] - a[1, 1] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 2] + a[1, 1] a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] - a[1, 1] a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 2] + a[1, 1] a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] - a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] - a[1, 1] a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] + a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] - a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 4] + a[1, 1] a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] - a[1, 1] a[1, 4] a[2, 1] a[2, 2] a[3, 2] a[4, 3] + a[1, 1] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 2] + a[1, 1] a[1, 4] a[2, 1] a[3, 2] a[4, 3] a[4, 4] - a[1, 1] a[1, 4] a[2, 1] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 1] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 1] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 1] a[3, 1] a[3, 4] a[4, 3] + a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 1] + a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 1] - a[1, 2] a[1, 4] a[2, 1] a[3, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 4] a[2, 1] a[3, 4] a[4, 1] a[4, 3] + a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[3, 4] a[4, 3] + a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 2] a[4, 4] - a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[3, 3] a[4, 3] - a[1, 2] a[2, 1] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 2] a[3, 4] a[4, 1] + a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] - a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 2] a[4, 1] a[4, 3] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 2] a[4, 1] + a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[3, 3] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 1] - a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 1] - a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[3, 4] a[4, 3] - a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 2] a[4, 4] + a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[3, 3] a[4, 2] 2 + a[1, 3] a[2, 1] a[2, 4] a[3, 4] a[4, 2] + a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 2] a[4, 4] 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 3] + a[1, 3] a[2, 2] a[2, 3] a[3, 2] a[3, 4] a[4, 1] + a[1, 3] a[2, 2] a[2, 4] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[2, 2] a[2, 4] a[3, 2] a[3, 3] a[4, 1] + a[1, 3] a[2, 2] a[2, 4] a[3, 2] a[4, 1] a[4, 4] - a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 2] - a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 3] a[2, 3] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 2] + a[1, 3] a[2, 4] a[3, 1] a[3, 4] a[4, 2] a[4, 3] - a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 1] a[3, 1] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[3, 2] a[4, 1] a[4, 3] + a[1, 4] a[2, 1] a[2, 2] a[3, 2] a[3, 3] a[4, 3] + a[1, 4] a[2, 1] a[2, 2] a[3, 4] a[4, 2] a[4, 3] - a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[3, 3] a[4, 2] 2 - a[1, 4] a[2, 1] a[2, 3] a[3, 4] a[4, 2] - a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 4] a[2, 1] a[3, 2] a[3, 4] a[4, 3] - a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 4] a[2, 2] a[2, 4] a[3, 2] a[4, 1] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 2] + a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 2] + a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] a[4, 4] - a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 4] a[2, 4] a[3, 1] a[3, 2] a[4, 3] + a[1, 4] a[2, 4] a[3, 2] a[3, 3] a[4, 1] a[4, 3]) X[1, 2] + ( -a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 2] + a[1, 1] a[1, 2] a[2, 3] a[3, 2] a[3, 4] a[4, 1] + a[1, 1] a[1, 2] a[2, 4] a[3, 1] a[3, 2] a[4, 3] - a[1, 1] a[1, 2] a[2, 4] a[3, 2] a[3, 3] a[4, 1] + a[1, 1] a[1, 2] a[2, 4] a[3, 2] a[4, 1] a[4, 4] - a[1, 1] a[1, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 1] a[1, 4] a[2, 1] a[3, 2] a[4, 3] + a[1, 1] a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 2] - a[1, 1] a[1, 4] a[2, 1] a[3, 2] a[4, 2] a[4, 4] 2 + a[1, 1] a[1, 4] a[2, 1] a[3, 4] a[4, 2] 2 2 - a[1, 2] a[2, 4] a[3, 1] a[4, 3] 2 + a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 1] 2 - a[1, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 4] 2 2 + a[1, 2] a[2, 4] a[3, 4] a[4, 1] + a[1, 2] a[1, 3] a[2, 1] a[3, 1] a[3, 4] a[4, 2] - a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 1] + a[1, 2] a[1, 4] a[2, 1] a[3, 1] a[3, 2] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[3, 1] a[3, 3] a[4, 2] + a[1, 2] a[1, 4] a[2, 1] a[3, 1] a[4, 2] a[4, 4] - a[1, 2] a[1, 4] a[2, 1] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 1] + a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 - a[1, 2] a[1, 4] a[2, 4] a[3, 2] a[4, 1] + a[1, 2] a[2, 3] a[3, 1] a[3, 2] a[3, 4] a[4, 3] + a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 4] - a[1, 2] a[2, 3] a[3, 2] a[3, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 2] a[2, 4] a[3, 1] a[3, 2] a[3, 3] a[4, 3] - a[1, 2] a[2, 4] a[3, 1] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[2, 4] a[3, 2] a[3, 3] a[4, 1] - a[1, 2] a[2, 4] a[3, 2] a[3, 3] a[4, 1] a[4, 4] + a[1, 2] a[2, 4] a[3, 2] a[3, 4] a[4, 1] a[4, 3] + a[1, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[3, 2] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 1] 2 - a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] + a[1, 3] a[2, 1] a[3, 2] a[3, 3] a[3, 4] a[4, 2] - a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 2] a[4, 4] 2 2 + a[1, 3] a[2, 1] a[3, 4] a[4, 2] - a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] 2 + a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] 2 - a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 4] - a[1, 3] a[2, 4] a[3, 2] a[3, 4] a[4, 1] a[4, 2] 2 2 - a[1, 4] a[2, 1] a[3, 1] a[4, 2] 2 + a[1, 4] a[2, 1] a[3, 2] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 3] 2 - a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 2] + a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 2] a[4, 4] 2 - a[1, 4] a[2, 1] a[3, 3] a[3, 4] a[4, 2] 2 - a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] + a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[3, 3] a[4, 2] - a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 2] a[4, 4] + a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 2] + a[1, 4] a[2, 4] a[3, 1] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3]) X[1, 3] + X[2, 1] ( 2 a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 1] a[1, 2] a[2, 4] a[3, 2] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 2] - a[1, 1] a[1, 2] a[1, 3] a[3, 2] a[3, 4] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[3, 3] a[3, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[3, 2] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 2] - a[1, 1] a[1, 2] a[1, 4] a[3, 2] a[4, 3] a[4, 4] + a[1, 1] a[1, 2] a[1, 4] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 1] a[1, 3] a[1, 4] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[1, 4] a[3, 2] a[3, 3] a[4, 2] + a[1, 1] a[1, 3] a[1, 4] a[3, 2] a[4, 2] a[4, 4] 2 - a[1, 1] a[1, 3] a[1, 4] a[3, 4] a[4, 2] 3 3 - a[1, 2] a[2, 3] a[3, 4] a[4, 1] + a[1, 2] a[2, 4] a[3, 1] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 2] 2 + a[1, 2] a[1, 3] a[3, 1] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[3, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[1, 4] a[2, 2] a[3, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 1] 2 + a[1, 2] a[1, 4] a[3, 1] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 2] a[3, 3] a[4, 3] 2 + a[1, 2] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[3, 1] a[3, 4] a[4, 2] 2 + a[1, 2] a[1, 3] a[3, 2] a[3, 4] a[4, 1] + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[3, 2] a[4, 1] - a[1, 2] a[1, 3] a[1, 4] a[3, 1] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[1, 4] a[3, 1] a[4, 2] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[3, 2] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[1, 4] a[3, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 2] a[3, 2] a[3, 4] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 2] a[4, 4] + a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 2] - a[1, 2] a[1, 3] a[3, 3] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 2] a[1, 3] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[3, 1] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[3, 2] a[4, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[3, 2] a[3, 3] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 2] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 2] - a[1, 2] a[1, 4] a[2, 4] a[3, 2] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[3, 2] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[3, 2] a[3, 4] a[4, 3] 2 + a[1, 3] a[1, 4] a[3, 1] a[3, 2] a[4, 2] 2 2 - a[1, 3] a[1, 4] a[3, 2] a[4, 1] 2 - a[1, 3] a[2, 2] a[3, 2] a[3, 4] a[4, 2] 2 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 2] 2 2 2 2 + a[1, 3] a[3, 2] a[3, 4] a[4, 2] a[4, 4] - a[1, 3] a[3, 4] a[4, 2] 2 2 + a[1, 3] a[1, 4] a[3, 1] a[4, 2] 2 - a[1, 3] a[1, 4] a[3, 2] a[4, 1] a[4, 2] + a[1, 3] a[1, 4] a[2, 2] a[3, 2] a[3, 3] a[4, 2] - a[1, 3] a[1, 4] a[2, 2] a[3, 2] a[4, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 2] 2 - a[1, 3] a[1, 4] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[1, 4] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 4] a[2, 2] a[3, 2] a[4, 2] a[4, 3] 2 2 2 2 2 - a[1, 4] a[2, 3] a[3, 2] a[4, 2] + a[1, 4] a[3, 2] a[4, 3] 2 - a[1, 4] a[3, 2] a[3, 3] a[4, 2] a[4, 3]) + X[3, 2] ( 2 2 a[1, 2] a[2, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 4] 2 2 - a[1, 2] a[2, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 3] + a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 2] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 1] a[4, 3] 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 3] + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 4] a[2, 1] a[2, 3] a[4, 2] - a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 3]) = 0 in Maple notation (-a[1,1]*a[1,2]*a[2,1]*a[2,3]*a[3,4]*a[4,2]+a[1,1]*a[1,2]*a[2,1]*a[2,4]*a[3,2]* a[4,3]+a[1,1]*a[1,3]*a[2,1]*a[2,2]*a[3,4]*a[4,2]-a[1,1]*a[1,3]*a[2,1]*a[2,4]*a[ 3,2]*a[4,2]+a[1,1]*a[1,3]*a[2,1]*a[3,2]*a[3,4]*a[4,3]-a[1,1]*a[1,3]*a[2,1]*a[3, 3]*a[3,4]*a[4,2]+a[1,1]*a[1,3]*a[2,3]*a[3,1]*a[3,4]*a[4,2]-a[1,1]*a[1,3]*a[2,3] *a[3,2]*a[3,4]*a[4,1]-a[1,1]*a[1,3]*a[2,4]*a[3,1]*a[3,2]*a[4,3]+a[1,1]*a[1,3]*a [2,4]*a[3,2]*a[3,3]*a[4,1]-a[1,1]*a[1,3]*a[2,4]*a[3,2]*a[4,1]*a[4,4]+a[1,1]*a[1 ,3]*a[2,4]*a[3,4]*a[4,1]*a[4,2]-a[1,1]*a[1,4]*a[2,1]*a[2,2]*a[3,2]*a[4,3]+a[1,1 ]*a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[4,2]+a[1,1]*a[1,4]*a[2,1]*a[3,2]*a[4,3]*a[4,4]- a[1,1]*a[1,4]*a[2,1]*a[3,4]*a[4,2]*a[4,3]+a[1,2]^2*a[2,1]*a[2,3]*a[3,4]*a[4,1]- a[1,2]^2*a[2,1]*a[2,4]*a[3,1]*a[4,3]-a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[3,4]*a[4,1]+ a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,1]*a[4,2]-a[1,2]*a[1,3]*a[2,1]*a[3,1]*a[3,4]*a[ 4,3]+a[1,2]*a[1,3]*a[2,1]*a[3,3]*a[3,4]*a[4,1]+a[1,2]*a[1,3]*a[2,4]*a[3,1]^2*a[ 4,3]-a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[3,3]*a[4,1]+a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[4, 1]*a[4,4]-a[1,2]*a[1,3]*a[2,4]*a[3,4]*a[4,1]^2+a[1,2]*a[1,4]*a[2,1]*a[2,2]*a[3, 1]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[4,1]-a[1,2]*a[1,4]*a[2,1]*a[3,1] *a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,1]*a[3,4]*a[4,1]*a[4,3]+a[1,2]*a[2,1]*a[2,3]*a [3,2]*a[3,4]*a[4,3]+a[1,2]*a[2,1]*a[2,3]*a[3,4]*a[4,2]*a[4,4]-a[1,2]*a[2,1]*a[2 ,4]*a[3,2]*a[3,3]*a[4,3]-a[1,2]*a[2,1]*a[2,4]*a[3,4]*a[4,2]*a[4,3]-a[1,2]*a[2,3 ]^2*a[3,2]*a[3,4]*a[4,1]+a[1,2]*a[2,3]*a[2,4]*a[3,2]*a[3,3]*a[4,1]-a[1,2]*a[2,3 ]*a[2,4]*a[3,2]*a[4,1]*a[4,4]+a[1,2]*a[2,4]^2*a[3,2]*a[4,1]*a[4,3]-a[1,3]*a[1,4 ]*a[2,1]*a[2,2]*a[3,1]*a[4,2]+a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[3,2]*a[4,1]+a[1,3]* a[1,4]*a[2,1]*a[3,1]*a[3,3]*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[3,3]*a[4,1]-a[ 1,3]*a[1,4]*a[2,3]*a[3,1]^2*a[4,2]+a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,1]-a[ 1,3]*a[1,4]*a[2,4]*a[3,1]*a[4,1]*a[4,2]+a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,1]^2-a[ 1,3]*a[2,1]*a[2,2]*a[3,2]*a[3,4]*a[4,3]-a[1,3]*a[2,1]*a[2,2]*a[3,4]*a[4,2]*a[4, 4]+a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[3,3]*a[4,2]+a[1,3]*a[2,1]*a[2,4]*a[3,4]*a[4,2] ^2+a[1,3]*a[2,1]*a[3,3]*a[3,4]*a[4,2]*a[4,4]-a[1,3]*a[2,1]*a[3,4]^2*a[4,2]*a[4, 3]+a[1,3]*a[2,2]*a[2,3]*a[3,2]*a[3,4]*a[4,1]+a[1,3]*a[2,2]*a[2,4]*a[3,1]*a[3,2] *a[4,3]-a[1,3]*a[2,2]*a[2,4]*a[3,2]*a[3,3]*a[4,1]+a[1,3]*a[2,2]*a[2,4]*a[3,2]*a [4,1]*a[4,4]-a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[3,2]*a[4,2]-a[1,3]*a[2,3]*a[3,1]*a[3 ,4]*a[4,2]*a[4,4]+a[1,3]*a[2,3]*a[3,4]^2*a[4,1]*a[4,2]-a[1,3]*a[2,4]^2*a[3,2]*a [4,1]*a[4,2]+a[1,3]*a[2,4]*a[3,1]*a[3,4]*a[4,2]*a[4,3]-a[1,3]*a[2,4]*a[3,3]*a[3 ,4]*a[4,1]*a[4,2]+a[1,4]^2*a[2,1]*a[3,1]*a[4,2]*a[4,3]-a[1,4]^2*a[2,1]*a[3,2]*a [4,1]*a[4,3]+a[1,4]*a[2,1]*a[2,2]*a[3,2]*a[3,3]*a[4,3]+a[1,4]*a[2,1]*a[2,2]*a[3 ,4]*a[4,2]*a[4,3]-a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[3,3]*a[4,2]-a[1,4]*a[2,1]*a[2,3 ]*a[3,4]*a[4,2]^2-a[1,4]*a[2,1]*a[3,2]*a[3,3]*a[4,3]*a[4,4]+a[1,4]*a[2,1]*a[3,2 ]*a[3,4]*a[4,3]^2-a[1,4]*a[2,2]*a[2,3]*a[3,1]*a[3,2]*a[4,3]-a[1,4]*a[2,2]*a[2,4 ]*a[3,2]*a[4,1]*a[4,3]+a[1,4]*a[2,3]^2*a[3,1]*a[3,2]*a[4,2]+a[1,4]*a[2,3]*a[2,4 ]*a[3,2]*a[4,1]*a[4,2]+a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,3]*a[4,4]-a[1,4]*a[2,3]* a[3,2]*a[3,4]*a[4,1]*a[4,3]-a[1,4]*a[2,4]*a[3,1]*a[3,2]*a[4,3]^2+a[1,4]*a[2,4]* a[3,2]*a[3,3]*a[4,1]*a[4,3])*X[1,2]+(-a[1,1]*a[1,2]*a[2,3]*a[3,1]*a[3,4]*a[4,2] +a[1,1]*a[1,2]*a[2,3]*a[3,2]*a[3,4]*a[4,1]+a[1,1]*a[1,2]*a[2,4]*a[3,1]*a[3,2]*a [4,3]-a[1,1]*a[1,2]*a[2,4]*a[3,2]*a[3,3]*a[4,1]+a[1,1]*a[1,2]*a[2,4]*a[3,2]*a[4 ,1]*a[4,4]-a[1,1]*a[1,2]*a[2,4]*a[3,4]*a[4,1]*a[4,2]-a[1,1]*a[1,4]*a[2,1]*a[3,2 ]^2*a[4,3]+a[1,1]*a[1,4]*a[2,1]*a[3,2]*a[3,3]*a[4,2]-a[1,1]*a[1,4]*a[2,1]*a[3,2 ]*a[4,2]*a[4,4]+a[1,1]*a[1,4]*a[2,1]*a[3,4]*a[4,2]^2-a[1,2]^2*a[2,4]*a[3,1]^2*a [4,3]+a[1,2]^2*a[2,4]*a[3,1]*a[3,3]*a[4,1]-a[1,2]^2*a[2,4]*a[3,1]*a[4,1]*a[4,4] +a[1,2]^2*a[2,4]*a[3,4]*a[4,1]^2+a[1,2]*a[1,3]*a[2,1]*a[3,1]*a[3,4]*a[4,2]-a[1, 2]*a[1,3]*a[2,1]*a[3,2]*a[3,4]*a[4,1]+a[1,2]*a[1,4]*a[2,1]*a[3,1]*a[3,2]*a[4,3] -a[1,2]*a[1,4]*a[2,1]*a[3,1]*a[3,3]*a[4,2]+a[1,2]*a[1,4]*a[2,1]*a[3,1]*a[4,2]*a [4,4]-a[1,2]*a[1,4]*a[2,1]*a[3,4]*a[4,1]*a[4,2]+a[1,2]*a[1,4]*a[2,3]*a[3,1]^2*a [4,2]-a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,1]+a[1,2]*a[1,4]*a[2,4]*a[3,1]*a[4 ,1]*a[4,2]-a[1,2]*a[1,4]*a[2,4]*a[3,2]*a[4,1]^2+a[1,2]*a[2,3]*a[3,1]*a[3,2]*a[3 ,4]*a[4,3]+a[1,2]*a[2,3]*a[3,1]*a[3,4]*a[4,2]*a[4,4]-a[1,2]*a[2,3]*a[3,2]*a[3,3 ]*a[3,4]*a[4,1]-a[1,2]*a[2,3]*a[3,4]^2*a[4,1]*a[4,2]-a[1,2]*a[2,4]*a[3,1]*a[3,2 ]*a[3,3]*a[4,3]-a[1,2]*a[2,4]*a[3,1]*a[3,4]*a[4,2]*a[4,3]+a[1,2]*a[2,4]*a[3,2]* a[3,3]^2*a[4,1]-a[1,2]*a[2,4]*a[3,2]*a[3,3]*a[4,1]*a[4,4]+a[1,2]*a[2,4]*a[3,2]* a[3,4]*a[4,1]*a[4,3]+a[1,2]*a[2,4]*a[3,3]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[ 2,1]*a[3,1]*a[3,2]*a[4,2]+a[1,3]*a[1,4]*a[2,1]*a[3,2]^2*a[4,1]-a[1,3]*a[2,1]*a[ 3,2]^2*a[3,4]*a[4,3]+a[1,3]*a[2,1]*a[3,2]*a[3,3]*a[3,4]*a[4,2]-a[1,3]*a[2,1]*a[ 3,2]*a[3,4]*a[4,2]*a[4,4]+a[1,3]*a[2,1]*a[3,4]^2*a[4,2]^2-a[1,3]*a[2,3]*a[3,1]* a[3,2]*a[3,4]*a[4,2]+a[1,3]*a[2,3]*a[3,2]^2*a[3,4]*a[4,1]+a[1,3]*a[2,4]*a[3,1]* a[3,2]^2*a[4,3]-a[1,3]*a[2,4]*a[3,2]^2*a[3,3]*a[4,1]+a[1,3]*a[2,4]*a[3,2]^2*a[4 ,1]*a[4,4]-a[1,3]*a[2,4]*a[3,2]*a[3,4]*a[4,1]*a[4,2]-a[1,4]^2*a[2,1]*a[3,1]*a[4 ,2]^2+a[1,4]^2*a[2,1]*a[3,2]*a[4,1]*a[4,2]+a[1,4]*a[2,1]*a[3,2]^2*a[3,3]*a[4,3] -a[1,4]*a[2,1]*a[3,2]*a[3,3]^2*a[4,2]+a[1,4]*a[2,1]*a[3,2]*a[3,3]*a[4,2]*a[4,4] -a[1,4]*a[2,1]*a[3,3]*a[3,4]*a[4,2]^2-a[1,4]*a[2,3]*a[3,1]*a[3,2]^2*a[4,3]+a[1, 4]*a[2,3]*a[3,1]*a[3,2]*a[3,3]*a[4,2]-a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,2]*a[4,4] +a[1,4]*a[2,3]*a[3,2]*a[3,4]*a[4,1]*a[4,2]+a[1,4]*a[2,4]*a[3,1]*a[3,2]*a[4,2]*a [4,3]-a[1,4]*a[2,4]*a[3,2]^2*a[4,1]*a[4,3])*X[1,3]+X[2,1]*(a[1,1]*a[1,2]^2*a[2, 3]*a[3,4]*a[4,2]-a[1,1]*a[1,2]^2*a[2,4]*a[3,2]*a[4,3]-a[1,1]*a[1,2]*a[1,3]*a[2, 2]*a[3,4]*a[4,2]+a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,2]*a[4,2]-a[1,1]*a[1,2]*a[1,3] *a[3,2]*a[3,4]*a[4,3]+a[1,1]*a[1,2]*a[1,3]*a[3,3]*a[3,4]*a[4,2]+a[1,1]*a[1,2]*a [1,4]*a[2,2]*a[3,2]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[3,2]*a[4,2]-a[1,1]*a[1 ,2]*a[1,4]*a[3,2]*a[4,3]*a[4,4]+a[1,1]*a[1,2]*a[1,4]*a[3,4]*a[4,2]*a[4,3]+a[1,1 ]*a[1,3]*a[1,4]*a[3,2]^2*a[4,3]-a[1,1]*a[1,3]*a[1,4]*a[3,2]*a[3,3]*a[4,2]+a[1,1 ]*a[1,3]*a[1,4]*a[3,2]*a[4,2]*a[4,4]-a[1,1]*a[1,3]*a[1,4]*a[3,4]*a[4,2]^2-a[1,2 ]^3*a[2,3]*a[3,4]*a[4,1]+a[1,2]^3*a[2,4]*a[3,1]*a[4,3]+a[1,2]^2*a[1,3]*a[2,2]*a [3,4]*a[4,1]-a[1,2]^2*a[1,3]*a[2,4]*a[3,1]*a[4,2]+a[1,2]^2*a[1,3]*a[3,1]*a[3,4] *a[4,3]-a[1,2]^2*a[1,3]*a[3,3]*a[3,4]*a[4,1]-a[1,2]^2*a[1,4]*a[2,2]*a[3,1]*a[4, 3]+a[1,2]^2*a[1,4]*a[2,3]*a[3,2]*a[4,1]+a[1,2]^2*a[1,4]*a[3,1]*a[4,3]*a[4,4]-a[ 1,2]^2*a[1,4]*a[3,4]*a[4,1]*a[4,3]-a[1,2]^2*a[2,3]*a[3,2]*a[3,4]*a[4,3]-a[1,2]^ 2*a[2,3]*a[3,4]*a[4,2]*a[4,4]+a[1,2]^2*a[2,4]*a[3,2]*a[3,3]*a[4,3]+a[1,2]^2*a[2 ,4]*a[3,4]*a[4,2]*a[4,3]-a[1,2]*a[1,3]^2*a[3,1]*a[3,4]*a[4,2]+a[1,2]*a[1,3]^2*a [3,2]*a[3,4]*a[4,1]+a[1,2]*a[1,3]*a[1,4]*a[2,2]*a[3,1]*a[4,2]-a[1,2]*a[1,3]*a[1 ,4]*a[2,2]*a[3,2]*a[4,1]-a[1,2]*a[1,3]*a[1,4]*a[3,1]*a[3,2]*a[4,3]-a[1,2]*a[1,3 ]*a[1,4]*a[3,1]*a[4,2]*a[4,4]+a[1,2]*a[1,3]*a[1,4]*a[3,2]*a[3,3]*a[4,1]+a[1,2]* a[1,3]*a[1,4]*a[3,4]*a[4,1]*a[4,2]+a[1,2]*a[1,3]*a[2,2]*a[3,2]*a[3,4]*a[4,3]+a[ 1,2]*a[1,3]*a[2,2]*a[3,4]*a[4,2]*a[4,4]+a[1,2]*a[1,3]*a[2,3]*a[3,2]*a[3,4]*a[4, 2]-a[1,2]*a[1,3]*a[2,4]*a[3,2]^2*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[3,2]*a[3,3]*a[4, 2]-a[1,2]*a[1,3]*a[2,4]*a[3,4]*a[4,2]^2-a[1,2]*a[1,3]*a[3,3]*a[3,4]*a[4,2]*a[4, 4]+a[1,2]*a[1,3]*a[3,4]^2*a[4,2]*a[4,3]-a[1,2]*a[1,4]^2*a[3,1]*a[4,2]*a[4,3]+a[ 1,2]*a[1,4]^2*a[3,2]*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,2]*a[3,2]*a[3,3]*a[4,3]-a[ 1,2]*a[1,4]*a[2,2]*a[3,4]*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[2,3]*a[3,2]^2*a[4,3]+a[ 1,2]*a[1,4]*a[2,3]*a[3,2]*a[4,2]*a[4,4]+a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,2]^2-a[ 1,2]*a[1,4]*a[2,4]*a[3,2]*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[3,2]*a[3,3]*a[4,3]*a[4, 4]-a[1,2]*a[1,4]*a[3,2]*a[3,4]*a[4,3]^2+a[1,3]^2*a[1,4]*a[3,1]*a[3,2]*a[4,2]-a[ 1,3]^2*a[1,4]*a[3,2]^2*a[4,1]-a[1,3]^2*a[2,2]*a[3,2]*a[3,4]*a[4,2]+a[1,3]^2*a[2 ,4]*a[3,2]^2*a[4,2]+a[1,3]^2*a[3,2]*a[3,4]*a[4,2]*a[4,4]-a[1,3]^2*a[3,4]^2*a[4, 2]^2+a[1,3]*a[1,4]^2*a[3,1]*a[4,2]^2-a[1,3]*a[1,4]^2*a[3,2]*a[4,1]*a[4,2]+a[1,3 ]*a[1,4]*a[2,2]*a[3,2]*a[3,3]*a[4,2]-a[1,3]*a[1,4]*a[2,2]*a[3,2]*a[4,2]*a[4,4]- a[1,3]*a[1,4]*a[2,3]*a[3,2]^2*a[4,2]+a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,2]^2-a[1,3 ]*a[1,4]*a[3,2]^2*a[4,3]*a[4,4]+a[1,3]*a[1,4]*a[3,3]*a[3,4]*a[4,2]^2+a[1,4]^2*a [2,2]*a[3,2]*a[4,2]*a[4,3]-a[1,4]^2*a[2,3]*a[3,2]*a[4,2]^2+a[1,4]^2*a[3,2]^2*a[ 4,3]^2-a[1,4]^2*a[3,2]*a[3,3]*a[4,2]*a[4,3])+X[3,2]*(a[1,2]^2*a[2,3]^2*a[3,4]*a [4,1]-a[1,2]^2*a[2,3]*a[2,4]*a[3,3]*a[4,1]+a[1,2]^2*a[2,3]*a[2,4]*a[4,1]*a[4,4] -a[1,2]^2*a[2,4]^2*a[4,1]*a[4,3]-a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,4]*a[4,2]+a[1, 2]*a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[4,3]-a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,1] -a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,1]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,3]*a [4,1]-a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,1]*a[4,4]+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3 ,1]*a[4,2]-a[1,2]*a[1,3]*a[2,3]*a[3,1]*a[3,4]*a[4,3]+a[1,2]*a[1,3]*a[2,3]*a[3,3 ]*a[3,4]*a[4,1]+a[1,2]*a[1,3]*a[2,4]^2*a[4,1]*a[4,2]+a[1,2]*a[1,3]*a[2,4]*a[3,1 ]*a[3,3]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[3,3]^2*a[4,1]+a[1,2]*a[1,3]*a[2,4]*a[3,3 ]*a[4,1]*a[4,4]-a[1,2]*a[1,3]*a[2,4]*a[3,4]*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,1]* a[2,3]*a[3,2]*a[4,3]+a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,3]*a[4,2]-a[1,2]*a[1,4]*a[ 2,1]*a[2,3]*a[4,2]*a[4,4]+a[1,2]*a[1,4]*a[2,1]*a[2,4]*a[4,2]*a[4,3]+a[1,2]*a[1, 4]*a[2,2]*a[2,3]*a[3,1]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,4]*a[4,1]*a[4,3]-a[1,2] *a[1,4]*a[2,3]^2*a[3,1]*a[4,2]-a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[4,1]*a[4,2]-a[1,2] *a[1,4]*a[2,3]*a[3,1]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,3]+a [1,2]*a[1,4]*a[2,4]*a[3,1]*a[4,3]^2-a[1,2]*a[1,4]*a[2,4]*a[3,3]*a[4,1]*a[4,3]+a [1,3]^2*a[2,1]*a[2,2]*a[3,4]*a[4,2]-a[1,3]^2*a[2,1]*a[2,4]*a[3,2]*a[4,2]+a[1,3] ^2*a[2,1]*a[3,2]*a[3,4]*a[4,3]-a[1,3]^2*a[2,1]*a[3,3]*a[3,4]*a[4,2]+a[1,3]^2*a[ 2,3]*a[3,1]*a[3,4]*a[4,2]-a[1,3]^2*a[2,3]*a[3,2]*a[3,4]*a[4,1]-a[1,3]^2*a[2,4]* a[3,1]*a[3,2]*a[4,3]+a[1,3]^2*a[2,4]*a[3,2]*a[3,3]*a[4,1]-a[1,3]^2*a[2,4]*a[3,2 ]*a[4,1]*a[4,4]+a[1,3]^2*a[2,4]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[2,2 ]*a[3,3]*a[4,2]+a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,1]* a[2,3]*a[3,2]*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[4,2]^2-a[1,3]*a[1,4]*a[2,1]* a[3,2]*a[3,3]*a[4,3]+a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[4,3]*a[4,4]+a[1,3]*a[1,4]*a[ 2,1]*a[3,3]^2*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[ 2,3]*a[3,1]*a[3,2]*a[4,3]-a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,3]*a[4,2]+a[1,3]*a[1, 4]*a[2,3]*a[3,1]*a[4,2]*a[4,4]-a[1,3]*a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,2]-a[1,3] *a[1,4]*a[2,4]*a[3,1]*a[4,2]*a[4,3]+a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,1]*a[4,3]-a [1,4]^2*a[2,1]*a[2,2]*a[4,2]*a[4,3]+a[1,4]^2*a[2,1]*a[2,3]*a[4,2]^2-a[1,4]^2*a[ 2,1]*a[3,2]*a[4,3]^2+a[1,4]^2*a[2,1]*a[3,3]*a[4,2]*a[4,3]) = 0 ------------------------------------ Theorem number, 7, : let, {X[1, 2], X[1, 3], X[2, 1], X[3, 4]}, be the entrie\ s of an ARBITRARY power of the general matrix M, we always have the line\ ar relation (a[1, 1] a[1, 2] a[2, 1] a[2, 2] a[2, 3] a[3, 4] - a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[2, 4] a[3, 2] - a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 4] + a[1, 1] a[1, 2] a[2, 1] a[2, 4] a[3, 4] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 1] a[2, 2] a[3, 4] + a[1, 1] a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[3, 2] + a[1, 1] a[1, 3] a[2, 1] a[2, 2] a[3, 3] a[3, 4] + a[1, 1] a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 4] - a[1, 1] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[3, 3] - a[1, 1] a[1, 3] a[2, 1] a[2, 4] a[3, 4] a[4, 2] - a[1, 1] a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 4] 2 + a[1, 1] a[1, 3] a[2, 1] a[3, 4] a[4, 3] - a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[3, 4] - a[1, 1] a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 1] + a[1, 1] a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[3, 2] + a[1, 1] a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 4] 2 - a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 1] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 1] - a[1, 1] a[1, 3] a[2, 4] a[3, 1] a[3, 4] a[4, 3] + a[1, 1] a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 1] + a[1, 1] a[1, 4] a[2, 1] a[2, 3] a[3, 4] a[4, 2] - a[1, 1] a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 3] 2 2 - a[1, 2] a[2, 1] a[2, 3] a[3, 4] 2 + a[1, 2] a[2, 1] a[2, 3] a[2, 4] a[3, 1] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 4] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[3, 4] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[3, 1] + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 1] a[3, 4] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 1] a[3, 3] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 4] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 1] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] 2 - a[1, 2] a[1, 4] a[2, 1] a[3, 4] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[2, 3] a[3, 1] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 1] a[4, 4] - a[1, 2] a[2, 1] a[2, 2] a[2, 3] a[3, 4] a[4, 4] + a[1, 2] a[2, 1] a[2, 2] a[2, 4] a[3, 4] a[4, 3] + a[1, 2] a[2, 1] a[2, 3] a[2, 4] a[3, 2] a[4, 4] 2 + a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 3] 2 + a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 4] 2 - a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[2, 1] a[2, 4] a[3, 3] a[3, 4] a[4, 3] - a[1, 2] a[2, 1] a[2, 4] a[3, 4] a[4, 3] a[4, 4] 2 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 1] + a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 1] - a[1, 2] a[2, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 2] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] 2 + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 1] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[3, 3] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[4, 4] - a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 1] a[3, 2] + a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[3, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 1] + a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[3, 3] a[4, 4] - a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[3, 4] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 1] + a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[3, 1] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 4] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 1] 2 + a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 3] - a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[3, 3] a[4, 1] 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 4] - a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[3, 2] a[4, 4] - a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[3, 4] a[4, 2] - a[1, 3] a[2, 1] a[2, 2] a[3, 3] a[3, 4] a[4, 4] 2 - a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 4] 2 + a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 2] + a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[3, 3] a[4, 4] - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[3, 4] a[4, 3] + a[1, 3] a[2, 1] a[2, 4] a[3, 3] a[3, 4] a[4, 2] + a[1, 3] a[2, 1] a[2, 4] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 4] 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 3] a[4, 4] + a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 4] + a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 4] - a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 4] - a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[3, 4] a[4, 2] + a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[3, 4] a[4, 1] 2 - a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 4] 2 + a[1, 3] a[2, 3] a[3, 4] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] 2 - a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] + a[1, 3] a[2, 4] a[3, 1] a[3, 4] a[4, 3] a[4, 4] - a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 1] a[4, 4] 2 2 + a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 3] a[3, 1] a[4, 2] 2 - a[1, 4] a[2, 1] a[2, 2] a[3, 4] a[4, 3] + a[1, 4] a[2, 1] a[2, 2] a[2, 3] a[3, 4] a[4, 2] + a[1, 4] a[2, 1] a[2, 2] a[2, 4] a[3, 2] a[4, 3] + a[1, 4] a[2, 1] a[2, 2] a[3, 3] a[3, 4] a[4, 3] + a[1, 4] a[2, 1] a[2, 2] a[3, 4] a[4, 3] a[4, 4] - a[1, 4] a[2, 1] a[2, 3] a[2, 4] a[3, 2] a[4, 2] - a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[3, 4] a[4, 2] - a[1, 4] a[2, 1] a[2, 3] a[3, 4] a[4, 2] a[4, 4] - a[1, 4] a[2, 1] a[3, 3] a[3, 4] a[4, 3] a[4, 4] 2 2 + a[1, 4] a[2, 1] a[3, 4] a[4, 3] - a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] - a[1, 4] a[2, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 2] + a[1, 4] a[2, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] + a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 3] a[4, 4] 2 - a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 4] a[2, 4] a[3, 1] a[3, 4] a[4, 3] + a[1, 4] a[2, 4] a[3, 3] a[3, 4] a[4, 1] a[4, 3]) X[1, 2] + ( a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[3, 4] + a[1, 1] a[1, 2] a[2, 2] a[2, 4] a[3, 4] a[4, 1] - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[3, 2] - a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 4] 2 + a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 1] 2 - a[1, 1] a[1, 2] a[2, 4] a[3, 2] a[4, 1] + a[1, 1] a[1, 2] a[2, 4] a[3, 1] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 1] - a[1, 1] a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[3, 4] 2 + a[1, 1] a[1, 3] a[2, 1] a[2, 4] a[3, 2] + a[1, 1] a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 4] 2 - a[1, 1] a[1, 3] a[2, 1] a[3, 4] a[4, 2] - a[1, 1] a[1, 4] a[2, 1] a[2, 2] a[3, 4] a[4, 2] + a[1, 1] a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 2] - a[1, 1] a[1, 4] a[2, 1] a[3, 2] a[3, 4] a[4, 3] + a[1, 1] a[1, 4] a[2, 1] a[3, 3] a[3, 4] a[4, 2] 2 - a[1, 2] a[2, 1] a[2, 3] a[3, 1] a[3, 4] 2 - a[1, 2] a[2, 1] a[2, 4] a[3, 4] a[4, 1] 2 2 2 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 1] + a[1, 2] a[2, 4] a[3, 1] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[3, 4] - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 1] a[3, 2] 2 + a[1, 2] a[1, 4] a[2, 1] a[3, 4] a[4, 2] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 1] a[3, 2] - a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[3, 1] a[4, 2] + a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 1] 2 - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] - a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[3, 1] a[4, 1] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 4] - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 1] 2 - a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[3, 3] a[4, 1] - a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 4] 2 + a[1, 2] a[2, 2] a[2, 3] a[3, 4] a[4, 1] + a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[3, 4] a[4, 3] - a[1, 2] a[2, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 1] + a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 4] - a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[3, 4] a[4, 1] 2 + a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] 2 + a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 4] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 2] a[2, 4] a[3, 2] a[3, 3] a[4, 1] - a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[3, 4] a[4, 3] - a[1, 2] a[2, 4] a[3, 1] a[3, 4] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 1] 2 + a[1, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 3] 2 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 2] + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[3, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[3, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[3, 4] a[4, 2] + a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[3, 4] a[4, 4] 2 - a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 4] + a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 4] 2 + a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 4] 2 - a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] + a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[3, 4] a[4, 3] - a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[3, 4] a[4, 1] + a[1, 3] a[2, 4] a[3, 2] a[3, 4] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] 2 2 - a[1, 4] a[2, 1] a[3, 2] a[4, 2] 2 + a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[4, 2] 2 + a[1, 4] a[2, 1] a[3, 1] a[3, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[3, 1] a[3, 3] a[4, 2] - a[1, 4] a[2, 1] a[2, 2] a[3, 2] a[3, 4] a[4, 3] + a[1, 4] a[2, 1] a[2, 2] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 3] - a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[3, 3] a[4, 2] + a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[3, 4] a[4, 3] + a[1, 4] a[2, 1] a[3, 2] a[3, 4] a[4, 3] a[4, 4] 2 - a[1, 4] a[2, 1] a[3, 3] a[3, 4] a[4, 2] 2 - a[1, 4] a[2, 1] a[3, 4] a[4, 2] a[4, 3] - a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[3, 4] a[4, 3] + a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[3, 4] a[4, 2] - a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 4] a[2, 4] a[3, 1] a[3, 4] a[4, 2] a[4, 3] - a[1, 4] a[2, 4] a[3, 2] a[3, 4] a[4, 1] a[4, 3]) X[1, 3] + ( 2 -a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 4] 2 + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 2] 2 + a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 4] 2 - a[1, 1] a[1, 2] a[2, 4] a[3, 4] a[4, 3] 2 + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[3, 4] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 2] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[3, 4] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[3, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[3, 3] a[3, 4] a[4, 4] 2 - a[1, 1] a[1, 2] a[1, 3] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 4] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 2] a[3, 2] a[3, 4] 2 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 2] 2 - a[1, 1] a[1, 3] a[3, 2] a[3, 4] a[4, 4] 2 2 + a[1, 1] a[1, 3] a[3, 4] a[4, 2] + a[1, 1] a[1, 3] a[1, 4] a[2, 2] a[3, 4] a[4, 2] - a[1, 1] a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 2] + a[1, 1] a[1, 3] a[1, 4] a[3, 2] a[3, 4] a[4, 3] - a[1, 1] a[1, 3] a[1, 4] a[3, 3] a[3, 4] a[4, 2] 3 3 + a[1, 2] a[2, 1] a[2, 3] a[3, 4] - a[1, 2] a[2, 3] a[2, 4] a[3, 1] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 4] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[3, 4] 2 + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 1] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 3] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] 2 + a[1, 2] a[1, 4] a[2, 1] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 4] 2 + a[1, 2] a[2, 2] a[2, 3] a[3, 4] a[4, 4] 2 - a[1, 2] a[2, 2] a[2, 4] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 4] 2 2 2 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 3] - a[1, 2] a[2, 3] a[3, 4] a[4, 4] 2 2 + a[1, 2] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 3] 2 + a[1, 2] a[2, 4] a[3, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[3, 4] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 2] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 2] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 4] a[4, 2] 2 - a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[3, 1] + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[3, 1] a[3, 3] + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[3, 1] a[4, 4] - a[1, 2] a[1, 3] a[1, 4] a[3, 1] a[3, 3] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[3, 1] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 2] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[3, 4] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 2] - a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 4] - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 2] - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 4] 2 - a[1, 2] a[1, 3] a[3, 3] a[3, 4] a[4, 4] 2 + a[1, 2] a[1, 3] a[3, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 2] 2 + a[1, 2] a[1, 4] a[2, 2] a[3, 4] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 2] - a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[3, 3] a[3, 4] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[3, 4] a[4, 3] a[4, 4] + a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 2] + a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 3] + 2 a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 2] a[4, 4] - a[1, 2] a[1, 4] a[2, 4] a[3, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[3, 3] a[3, 4] a[4, 3] a[4, 4] 2 2 2 2 - a[1, 2] a[1, 4] a[3, 4] a[4, 3] + a[1, 3] a[1, 4] a[2, 1] a[3, 2] 2 - a[1, 3] a[1, 4] a[2, 2] a[3, 1] a[3, 2] 2 + a[1, 3] a[1, 4] a[3, 1] a[3, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[3, 1] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 2] a[3, 2] a[3, 4] a[4, 4] 2 2 2 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 4] + a[1, 3] a[3, 2] a[3, 4] a[4, 4] 2 2 - a[1, 3] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 2] a[3, 1] a[4, 2] 2 - a[1, 3] a[1, 4] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[3, 1] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 2] a[3, 2] a[3, 4] a[4, 3] - a[1, 3] a[1, 4] a[2, 2] a[3, 4] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[3, 3] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 4] a[3, 4] a[4, 2] - 2 a[1, 3] a[1, 4] a[3, 2] a[3, 4] a[4, 3] a[4, 4] + a[1, 3] a[1, 4] a[3, 3] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 2] a[3, 4] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 4] a[2, 3] a[3, 4] a[4, 2] + a[1, 4] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 4] a[3, 3] a[3, 4] a[4, 2] a[4, 3]) X[2, 1] + X[3, 4] ( 2 2 a[1, 2] a[2, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 4] 2 2 - a[1, 2] a[2, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 3] + a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 2] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 1] a[4, 3] 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 3] + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 4] a[2, 1] a[2, 3] a[4, 2] - a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 3]) = 0 in Maple notation (a[1,1]*a[1,2]*a[2,1]*a[2,2]*a[2,3]*a[3,4]-a[1,1]*a[1,2]*a[2,1]*a[2,3]*a[2,4]*a [3,2]-a[1,1]*a[1,2]*a[2,1]*a[2,3]*a[3,4]*a[4,4]+a[1,1]*a[1,2]*a[2,1]*a[2,4]*a[3 ,4]*a[4,3]-a[1,1]*a[1,3]*a[2,1]*a[2,2]^2*a[3,4]+a[1,1]*a[1,3]*a[2,1]*a[2,2]*a[2 ,4]*a[3,2]+a[1,1]*a[1,3]*a[2,1]*a[2,2]*a[3,3]*a[3,4]+a[1,1]*a[1,3]*a[2,1]*a[2,2 ]*a[3,4]*a[4,4]-a[1,1]*a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[3,3]-a[1,1]*a[1,3]*a[2,1]* a[2,4]*a[3,4]*a[4,2]-a[1,1]*a[1,3]*a[2,1]*a[3,3]*a[3,4]*a[4,4]+a[1,1]*a[1,3]*a[ 2,1]*a[3,4]^2*a[4,3]-a[1,1]*a[1,3]*a[2,2]*a[2,3]*a[3,1]*a[3,4]-a[1,1]*a[1,3]*a[ 2,2]*a[2,4]*a[3,4]*a[4,1]+a[1,1]*a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[3,2]+a[1,1]*a[1, 3]*a[2,3]*a[3,1]*a[3,4]*a[4,4]-a[1,1]*a[1,3]*a[2,3]*a[3,4]^2*a[4,1]+a[1,1]*a[1, 3]*a[2,4]^2*a[3,2]*a[4,1]-a[1,1]*a[1,3]*a[2,4]*a[3,1]*a[3,4]*a[4,3]+a[1,1]*a[1, 3]*a[2,4]*a[3,3]*a[3,4]*a[4,1]+a[1,1]*a[1,4]*a[2,1]*a[2,3]*a[3,4]*a[4,2]-a[1,1] *a[1,4]*a[2,1]*a[2,4]*a[3,2]*a[4,3]-a[1,2]^2*a[2,1]^2*a[2,3]*a[3,4]+a[1,2]^2*a[ 2,1]*a[2,3]*a[2,4]*a[3,1]+a[1,2]*a[1,3]*a[2,1]^2*a[2,2]*a[3,4]-a[1,2]*a[1,3]*a[ 2,1]^2*a[3,3]*a[3,4]-a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[2,4]*a[3,1]+a[1,2]*a[1,3]*a[ 2,1]*a[2,3]*a[3,1]*a[3,4]+a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,1]*a[3,3]+a[1,2]*a[1, 3]*a[2,1]*a[2,4]*a[3,4]*a[4,1]-a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,1]^2-a[1,2]*a[1, 3]*a[2,4]^2*a[3,1]*a[4,1]+a[1,2]*a[1,4]*a[2,1]^2*a[2,3]*a[3,2]-a[1,2]*a[1,4]*a[ 2,1]^2*a[3,4]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[2,2]*a[2,3]*a[3,1]+a[1,2]*a[1,4]*a[ 2,1]*a[2,3]*a[3,1]*a[4,4]-a[1,2]*a[2,1]*a[2,2]*a[2,3]*a[3,4]*a[4,4]+a[1,2]*a[2, 1]*a[2,2]*a[2,4]*a[3,4]*a[4,3]+a[1,2]*a[2,1]*a[2,3]*a[2,4]*a[3,2]*a[4,4]+a[1,2] *a[2,1]*a[2,3]*a[3,4]^2*a[4,3]+a[1,2]*a[2,1]*a[2,3]*a[3,4]*a[4,4]^2-a[1,2]*a[2, 1]*a[2,4]^2*a[3,2]*a[4,3]-a[1,2]*a[2,1]*a[2,4]*a[3,3]*a[3,4]*a[4,3]-a[1,2]*a[2, 1]*a[2,4]*a[3,4]*a[4,3]*a[4,4]-a[1,2]*a[2,3]^2*a[3,4]^2*a[4,1]+a[1,2]*a[2,3]*a[ 2,4]*a[3,3]*a[3,4]*a[4,1]-a[1,2]*a[2,3]*a[2,4]*a[3,4]*a[4,1]*a[4,4]+a[1,2]*a[2, 4]^2*a[3,4]*a[4,1]*a[4,3]-a[1,3]*a[1,4]*a[2,1]^2*a[2,2]*a[3,2]+a[1,3]*a[1,4]*a[ 2,1]^2*a[3,2]*a[3,3]+a[1,3]*a[1,4]*a[2,1]*a[2,2]^2*a[3,1]-a[1,3]*a[1,4]*a[2,1]* a[2,2]*a[3,1]*a[3,3]-a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[3,1]*a[4,4]-a[1,3]*a[1,4]*a[ 2,1]*a[2,3]*a[3,1]*a[3,2]+a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[3,1]*a[4,2]-a[1,3]*a[1, 4]*a[2,1]*a[2,4]*a[3,2]*a[4,1]+a[1,3]*a[1,4]*a[2,1]*a[3,1]*a[3,3]*a[4,4]-a[1,3] *a[1,4]*a[2,1]*a[3,1]*a[3,4]*a[4,3]+a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[3,1]^2+a[1,3] *a[1,4]*a[2,2]*a[2,4]*a[3,1]*a[4,1]-a[1,3]*a[1,4]*a[2,3]*a[3,1]^2*a[4,4]+a[1,3] *a[1,4]*a[2,3]*a[3,1]*a[3,4]*a[4,1]+a[1,3]*a[1,4]*a[2,4]*a[3,1]^2*a[4,3]-a[1,3] *a[1,4]*a[2,4]*a[3,1]*a[3,3]*a[4,1]+a[1,3]*a[2,1]*a[2,2]^2*a[3,4]*a[4,4]-a[1,3] *a[2,1]*a[2,2]*a[2,4]*a[3,2]*a[4,4]-a[1,3]*a[2,1]*a[2,2]*a[2,4]*a[3,4]*a[4,2]-a [1,3]*a[2,1]*a[2,2]*a[3,3]*a[3,4]*a[4,4]-a[1,3]*a[2,1]*a[2,2]*a[3,4]*a[4,4]^2+a [1,3]*a[2,1]*a[2,4]^2*a[3,2]*a[4,2]+a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[3,3]*a[4,4]-a [1,3]*a[2,1]*a[2,4]*a[3,2]*a[3,4]*a[4,3]+a[1,3]*a[2,1]*a[2,4]*a[3,3]*a[3,4]*a[4 ,2]+a[1,3]*a[2,1]*a[2,4]*a[3,4]*a[4,2]*a[4,4]+a[1,3]*a[2,1]*a[3,3]*a[3,4]*a[4,4 ]^2-a[1,3]*a[2,1]*a[3,4]^2*a[4,3]*a[4,4]+a[1,3]*a[2,2]*a[2,3]*a[3,1]*a[3,4]*a[4 ,4]+a[1,3]*a[2,2]*a[2,4]*a[3,4]*a[4,1]*a[4,4]-a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[3,2 ]*a[4,4]-a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[3,4]*a[4,2]+a[1,3]*a[2,3]*a[2,4]*a[3,2]* a[3,4]*a[4,1]-a[1,3]*a[2,3]*a[3,1]*a[3,4]*a[4,4]^2+a[1,3]*a[2,3]*a[3,4]^2*a[4,1 ]*a[4,4]+a[1,3]*a[2,4]^2*a[3,1]*a[3,2]*a[4,3]-a[1,3]*a[2,4]^2*a[3,2]*a[3,3]*a[4 ,1]-a[1,3]*a[2,4]^2*a[3,4]*a[4,1]*a[4,2]+a[1,3]*a[2,4]*a[3,1]*a[3,4]*a[4,3]*a[4 ,4]-a[1,3]*a[2,4]*a[3,3]*a[3,4]*a[4,1]*a[4,4]+a[1,4]^2*a[2,1]^2*a[3,2]*a[4,3]-a [1,4]^2*a[2,1]*a[2,3]*a[3,1]*a[4,2]-a[1,4]*a[2,1]*a[2,2]^2*a[3,4]*a[4,3]+a[1,4] *a[2,1]*a[2,2]*a[2,3]*a[3,4]*a[4,2]+a[1,4]*a[2,1]*a[2,2]*a[2,4]*a[3,2]*a[4,3]+a [1,4]*a[2,1]*a[2,2]*a[3,3]*a[3,4]*a[4,3]+a[1,4]*a[2,1]*a[2,2]*a[3,4]*a[4,3]*a[4 ,4]-a[1,4]*a[2,1]*a[2,3]*a[2,4]*a[3,2]*a[4,2]-a[1,4]*a[2,1]*a[2,3]*a[3,3]*a[3,4 ]*a[4,2]-a[1,4]*a[2,1]*a[2,3]*a[3,4]*a[4,2]*a[4,4]-a[1,4]*a[2,1]*a[3,3]*a[3,4]* a[4,3]*a[4,4]+a[1,4]*a[2,1]*a[3,4]^2*a[4,3]^2-a[1,4]*a[2,2]*a[2,3]*a[3,1]*a[3,4 ]*a[4,3]-a[1,4]*a[2,2]*a[2,4]*a[3,4]*a[4,1]*a[4,3]+a[1,4]*a[2,3]^2*a[3,1]*a[3,4 ]*a[4,2]+a[1,4]*a[2,3]*a[2,4]*a[3,4]*a[4,1]*a[4,2]+a[1,4]*a[2,3]*a[3,1]*a[3,4]* a[4,3]*a[4,4]-a[1,4]*a[2,3]*a[3,4]^2*a[4,1]*a[4,3]-a[1,4]*a[2,4]*a[3,1]*a[3,4]* a[4,3]^2+a[1,4]*a[2,4]*a[3,3]*a[3,4]*a[4,1]*a[4,3])*X[1,2]+(a[1,1]*a[1,2]*a[2,2 ]*a[2,3]*a[3,1]*a[3,4]+a[1,1]*a[1,2]*a[2,2]*a[2,4]*a[3,4]*a[4,1]-a[1,1]*a[1,2]* a[2,3]*a[2,4]*a[3,1]*a[3,2]-a[1,1]*a[1,2]*a[2,3]*a[3,1]*a[3,4]*a[4,4]+a[1,1]*a[ 1,2]*a[2,3]*a[3,4]^2*a[4,1]-a[1,1]*a[1,2]*a[2,4]^2*a[3,2]*a[4,1]+a[1,1]*a[1,2]* a[2,4]*a[3,1]*a[3,4]*a[4,3]-a[1,1]*a[1,2]*a[2,4]*a[3,3]*a[3,4]*a[4,1]-a[1,1]*a[ 1,3]*a[2,1]*a[2,2]*a[3,2]*a[3,4]+a[1,1]*a[1,3]*a[2,1]*a[2,4]*a[3,2]^2+a[1,1]*a[ 1,3]*a[2,1]*a[3,2]*a[3,4]*a[4,4]-a[1,1]*a[1,3]*a[2,1]*a[3,4]^2*a[4,2]-a[1,1]*a[ 1,4]*a[2,1]*a[2,2]*a[3,4]*a[4,2]+a[1,1]*a[1,4]*a[2,1]*a[2,4]*a[3,2]*a[4,2]-a[1, 1]*a[1,4]*a[2,1]*a[3,2]*a[3,4]*a[4,3]+a[1,1]*a[1,4]*a[2,1]*a[3,3]*a[3,4]*a[4,2] -a[1,2]^2*a[2,1]*a[2,3]*a[3,1]*a[3,4]-a[1,2]^2*a[2,1]*a[2,4]*a[3,4]*a[4,1]+a[1, 2]^2*a[2,3]*a[2,4]*a[3,1]^2+a[1,2]^2*a[2,4]^2*a[3,1]*a[4,1]+a[1,2]*a[1,3]*a[2,1 ]^2*a[3,2]*a[3,4]-a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,1]*a[3,2]+a[1,2]*a[1,4]*a[2,1 ]^2*a[3,4]*a[4,2]+a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,1]*a[3,2]-a[1,2]*a[1,4]*a[2,1 ]*a[2,4]*a[3,1]*a[4,2]+a[1,2]*a[1,4]*a[2,1]*a[2,4]*a[3,2]*a[4,1]-a[1,2]*a[1,4]* a[2,2]*a[2,3]*a[3,1]^2-a[1,2]*a[1,4]*a[2,2]*a[2,4]*a[3,1]*a[4,1]+a[1,2]*a[1,4]* a[2,3]*a[3,1]^2*a[4,4]-a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[3,4]*a[4,1]-a[1,2]*a[1,4]* a[2,4]*a[3,1]^2*a[4,3]+a[1,2]*a[1,4]*a[2,4]*a[3,1]*a[3,3]*a[4,1]-a[1,2]*a[2,2]* a[2,3]*a[3,1]*a[3,4]*a[4,4]+a[1,2]*a[2,2]*a[2,3]*a[3,4]^2*a[4,1]+a[1,2]*a[2,2]* a[2,4]*a[3,1]*a[3,4]*a[4,3]-a[1,2]*a[2,2]*a[2,4]*a[3,3]*a[3,4]*a[4,1]+a[1,2]*a[ 2,3]*a[2,4]*a[3,1]*a[3,2]*a[4,4]-a[1,2]*a[2,3]*a[2,4]*a[3,2]*a[3,4]*a[4,1]+a[1, 2]*a[2,3]*a[3,1]*a[3,4]^2*a[4,3]+a[1,2]*a[2,3]*a[3,1]*a[3,4]*a[4,4]^2-a[1,2]*a[ 2,3]*a[3,3]*a[3,4]^2*a[4,1]-a[1,2]*a[2,3]*a[3,4]^2*a[4,1]*a[4,4]-a[1,2]*a[2,4]^ 2*a[3,1]*a[3,2]*a[4,3]+a[1,2]*a[2,4]^2*a[3,2]*a[3,3]*a[4,1]-a[1,2]*a[2,4]*a[3,1 ]*a[3,3]*a[3,4]*a[4,3]-a[1,2]*a[2,4]*a[3,1]*a[3,4]*a[4,3]*a[4,4]+a[1,2]*a[2,4]* a[3,3]^2*a[3,4]*a[4,1]+a[1,2]*a[2,4]*a[3,4]^2*a[4,1]*a[4,3]-a[1,3]*a[1,4]*a[2,1 ]^2*a[3,2]^2+a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[3,1]*a[3,2]-a[1,3]*a[1,4]*a[2,1]*a[3 ,1]*a[3,2]*a[4,4]+a[1,3]*a[1,4]*a[2,1]*a[3,1]*a[3,4]*a[4,2]+a[1,3]*a[2,1]*a[2,2 ]*a[3,2]*a[3,4]*a[4,4]-a[1,3]*a[2,1]*a[2,2]*a[3,4]^2*a[4,2]-a[1,3]*a[2,1]*a[2,4 ]*a[3,2]^2*a[4,4]+a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[3,4]*a[4,2]-a[1,3]*a[2,1]*a[3,2 ]*a[3,4]^2*a[4,3]-a[1,3]*a[2,1]*a[3,2]*a[3,4]*a[4,4]^2+a[1,3]*a[2,1]*a[3,3]*a[3 ,4]^2*a[4,2]+a[1,3]*a[2,1]*a[3,4]^2*a[4,2]*a[4,4]-a[1,3]*a[2,3]*a[3,1]*a[3,4]^2 *a[4,2]+a[1,3]*a[2,3]*a[3,2]*a[3,4]^2*a[4,1]+a[1,3]*a[2,4]*a[3,1]*a[3,2]*a[3,4] *a[4,3]-a[1,3]*a[2,4]*a[3,2]*a[3,3]*a[3,4]*a[4,1]+a[1,3]*a[2,4]*a[3,2]*a[3,4]*a [4,1]*a[4,4]-a[1,3]*a[2,4]*a[3,4]^2*a[4,1]*a[4,2]-a[1,4]^2*a[2,1]^2*a[3,2]*a[4, 2]+a[1,4]^2*a[2,1]*a[2,2]*a[3,1]*a[4,2]+a[1,4]^2*a[2,1]*a[3,1]*a[3,2]*a[4,3]-a[ 1,4]^2*a[2,1]*a[3,1]*a[3,3]*a[4,2]-a[1,4]*a[2,1]*a[2,2]*a[3,2]*a[3,4]*a[4,3]+a[ 1,4]*a[2,1]*a[2,2]*a[3,3]*a[3,4]*a[4,2]+a[1,4]*a[2,1]*a[2,4]*a[3,2]^2*a[4,3]-a[ 1,4]*a[2,1]*a[2,4]*a[3,2]*a[3,3]*a[4,2]+a[1,4]*a[2,1]*a[3,2]*a[3,3]*a[3,4]*a[4, 3]+a[1,4]*a[2,1]*a[3,2]*a[3,4]*a[4,3]*a[4,4]-a[1,4]*a[2,1]*a[3,3]^2*a[3,4]*a[4, 2]-a[1,4]*a[2,1]*a[3,4]^2*a[4,2]*a[4,3]-a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[3,4]*a[4, 3]+a[1,4]*a[2,3]*a[3,1]*a[3,3]*a[3,4]*a[4,2]-a[1,4]*a[2,3]*a[3,1]*a[3,4]*a[4,2] *a[4,4]+a[1,4]*a[2,3]*a[3,4]^2*a[4,1]*a[4,2]+a[1,4]*a[2,4]*a[3,1]*a[3,4]*a[4,2] *a[4,3]-a[1,4]*a[2,4]*a[3,2]*a[3,4]*a[4,1]*a[4,3])*X[1,3]+(-a[1,1]*a[1,2]^2*a[2 ,2]*a[2,3]*a[3,4]+a[1,1]*a[1,2]^2*a[2,3]*a[2,4]*a[3,2]+a[1,1]*a[1,2]^2*a[2,3]*a [3,4]*a[4,4]-a[1,1]*a[1,2]^2*a[2,4]*a[3,4]*a[4,3]+a[1,1]*a[1,2]*a[1,3]*a[2,2]^2 *a[3,4]-a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,2]-a[1,1]*a[1,2]*a[1,3]*a[2,2]*a [3,3]*a[3,4]-a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[3,4]*a[4,4]+a[1,1]*a[1,2]*a[1,3]*a[2 ,4]*a[3,2]*a[3,3]+a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,4]*a[4,2]+a[1,1]*a[1,2]*a[1,3 ]*a[3,3]*a[3,4]*a[4,4]-a[1,1]*a[1,2]*a[1,3]*a[3,4]^2*a[4,3]-a[1,1]*a[1,2]*a[1,4 ]*a[2,3]*a[3,4]*a[4,2]+a[1,1]*a[1,2]*a[1,4]*a[2,4]*a[3,2]*a[4,3]+a[1,1]*a[1,3]^ 2*a[2,2]*a[3,2]*a[3,4]-a[1,1]*a[1,3]^2*a[2,4]*a[3,2]^2-a[1,1]*a[1,3]^2*a[3,2]*a [3,4]*a[4,4]+a[1,1]*a[1,3]^2*a[3,4]^2*a[4,2]+a[1,1]*a[1,3]*a[1,4]*a[2,2]*a[3,4] *a[4,2]-a[1,1]*a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,2]+a[1,1]*a[1,3]*a[1,4]*a[3,2]*a [3,4]*a[4,3]-a[1,1]*a[1,3]*a[1,4]*a[3,3]*a[3,4]*a[4,2]+a[1,2]^3*a[2,1]*a[2,3]*a [3,4]-a[1,2]^3*a[2,3]*a[2,4]*a[3,1]-a[1,2]^2*a[1,3]*a[2,1]*a[2,2]*a[3,4]+a[1,2] ^2*a[1,3]*a[2,1]*a[3,3]*a[3,4]+a[1,2]^2*a[1,3]*a[2,2]*a[2,4]*a[3,1]-a[1,2]^2*a[ 1,3]*a[2,4]*a[3,1]*a[3,3]-a[1,2]^2*a[1,4]*a[2,1]*a[2,3]*a[3,2]+a[1,2]^2*a[1,4]* a[2,1]*a[3,4]*a[4,3]+a[1,2]^2*a[1,4]*a[2,2]*a[2,3]*a[3,1]-a[1,2]^2*a[1,4]*a[2,3 ]*a[3,1]*a[4,4]+a[1,2]^2*a[2,2]*a[2,3]*a[3,4]*a[4,4]-a[1,2]^2*a[2,2]*a[2,4]*a[3 ,4]*a[4,3]-a[1,2]^2*a[2,3]*a[2,4]*a[3,2]*a[4,4]-a[1,2]^2*a[2,3]*a[3,4]^2*a[4,3] -a[1,2]^2*a[2,3]*a[3,4]*a[4,4]^2+a[1,2]^2*a[2,4]^2*a[3,2]*a[4,3]+a[1,2]^2*a[2,4 ]*a[3,3]*a[3,4]*a[4,3]+a[1,2]^2*a[2,4]*a[3,4]*a[4,3]*a[4,4]-a[1,2]*a[1,3]^2*a[2 ,1]*a[3,2]*a[3,4]+a[1,2]*a[1,3]^2*a[2,4]*a[3,1]*a[3,2]+a[1,2]*a[1,3]*a[1,4]*a[2 ,1]*a[2,2]*a[3,2]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[3,3]-a[1,2]*a[1,3]*a[1,4 ]*a[2,1]*a[3,4]*a[4,2]-a[1,2]*a[1,3]*a[1,4]*a[2,2]^2*a[3,1]+a[1,2]*a[1,3]*a[1,4 ]*a[2,2]*a[3,1]*a[3,3]+a[1,2]*a[1,3]*a[1,4]*a[2,2]*a[3,1]*a[4,4]-a[1,2]*a[1,3]* a[1,4]*a[3,1]*a[3,3]*a[4,4]+a[1,2]*a[1,3]*a[1,4]*a[3,1]*a[3,4]*a[4,3]-a[1,2]*a[ 1,3]*a[2,2]^2*a[3,4]*a[4,4]+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,2]*a[4,4]+a[1,2]*a[ 1,3]*a[2,2]*a[2,4]*a[3,4]*a[4,2]+a[1,2]*a[1,3]*a[2,2]*a[3,3]*a[3,4]*a[4,4]+a[1, 2]*a[1,3]*a[2,2]*a[3,4]*a[4,4]^2+a[1,2]*a[1,3]*a[2,3]*a[3,4]^2*a[4,2]-a[1,2]*a[ 1,3]*a[2,4]^2*a[3,2]*a[4,2]-a[1,2]*a[1,3]*a[2,4]*a[3,2]*a[3,3]*a[4,4]-a[1,2]*a[ 1,3]*a[2,4]*a[3,3]*a[3,4]*a[4,2]-a[1,2]*a[1,3]*a[2,4]*a[3,4]*a[4,2]*a[4,4]-a[1, 2]*a[1,3]*a[3,3]*a[3,4]*a[4,4]^2+a[1,2]*a[1,3]*a[3,4]^2*a[4,3]*a[4,4]-a[1,2]*a[ 1,4]^2*a[2,1]*a[3,2]*a[4,3]+a[1,2]*a[1,4]^2*a[2,3]*a[3,1]*a[4,2]+a[1,2]*a[1,4]* a[2,2]^2*a[3,4]*a[4,3]-a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,4]*a[4,2]-a[1,2]*a[1,4]* a[2,2]*a[2,4]*a[3,2]*a[4,3]-a[1,2]*a[1,4]*a[2,2]*a[3,3]*a[3,4]*a[4,3]-a[1,2]*a[ 1,4]*a[2,2]*a[3,4]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[3,2]*a[4,2]+a[1, 2]*a[1,4]*a[2,3]*a[3,2]*a[3,4]*a[4,3]+2*a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,2]*a[4, 4]-a[1,2]*a[1,4]*a[2,4]*a[3,4]*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[3,3]*a[3,4]*a[4,3] *a[4,4]-a[1,2]*a[1,4]*a[3,4]^2*a[4,3]^2+a[1,3]^2*a[1,4]*a[2,1]*a[3,2]^2-a[1,3]^ 2*a[1,4]*a[2,2]*a[3,1]*a[3,2]+a[1,3]^2*a[1,4]*a[3,1]*a[3,2]*a[4,4]-a[1,3]^2*a[1 ,4]*a[3,1]*a[3,4]*a[4,2]-a[1,3]^2*a[2,2]*a[3,2]*a[3,4]*a[4,4]+a[1,3]^2*a[2,4]*a [3,2]^2*a[4,4]+a[1,3]^2*a[3,2]*a[3,4]*a[4,4]^2-a[1,3]^2*a[3,4]^2*a[4,2]*a[4,4]+ a[1,3]*a[1,4]^2*a[2,1]*a[3,2]*a[4,2]-a[1,3]*a[1,4]^2*a[2,2]*a[3,1]*a[4,2]-a[1,3 ]*a[1,4]^2*a[3,1]*a[3,2]*a[4,3]+a[1,3]*a[1,4]^2*a[3,1]*a[3,3]*a[4,2]+a[1,3]*a[1 ,4]*a[2,2]*a[3,2]*a[3,4]*a[4,3]-a[1,3]*a[1,4]*a[2,2]*a[3,4]*a[4,2]*a[4,4]-a[1,3 ]*a[1,4]*a[2,3]*a[3,2]*a[3,4]*a[4,2]-a[1,3]*a[1,4]*a[2,4]*a[3,2]^2*a[4,3]+a[1,3 ]*a[1,4]*a[2,4]*a[3,2]*a[3,3]*a[4,2]+a[1,3]*a[1,4]*a[2,4]*a[3,4]*a[4,2]^2-2*a[1 ,3]*a[1,4]*a[3,2]*a[3,4]*a[4,3]*a[4,4]+a[1,3]*a[1,4]*a[3,3]*a[3,4]*a[4,2]*a[4,4 ]+a[1,3]*a[1,4]*a[3,4]^2*a[4,2]*a[4,3]+a[1,4]^2*a[2,2]*a[3,4]*a[4,2]*a[4,3]-a[1 ,4]^2*a[2,3]*a[3,4]*a[4,2]^2+a[1,4]^2*a[3,2]*a[3,4]*a[4,3]^2-a[1,4]^2*a[3,3]*a[ 3,4]*a[4,2]*a[4,3])*X[2,1]+X[3,4]*(a[1,2]^2*a[2,3]^2*a[3,4]*a[4,1]-a[1,2]^2*a[2 ,3]*a[2,4]*a[3,3]*a[4,1]+a[1,2]^2*a[2,3]*a[2,4]*a[4,1]*a[4,4]-a[1,2]^2*a[2,4]^2 *a[4,1]*a[4,3]-a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,4]*a[4,2]+a[1,2]*a[1,3]*a[2,1]*a [2,4]*a[3,2]*a[4,3]-a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,1]-a[1,2]*a[1,3]*a[2 ,2]*a[2,4]*a[3,1]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,3]*a[4,1]-a[1,2]*a[1,3 ]*a[2,2]*a[2,4]*a[4,1]*a[4,4]+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[4,2]-a[1,2]* a[1,3]*a[2,3]*a[3,1]*a[3,4]*a[4,3]+a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[3,4]*a[4,1]+a[ 1,2]*a[1,3]*a[2,4]^2*a[4,1]*a[4,2]+a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[3,3]*a[4,3]-a[ 1,2]*a[1,3]*a[2,4]*a[3,3]^2*a[4,1]+a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,1]*a[4,4]-a[ 1,2]*a[1,3]*a[2,4]*a[3,4]*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[4, 3]+a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,3]*a[4,2]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[4,2] *a[4,4]+a[1,2]*a[1,4]*a[2,1]*a[2,4]*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,3]*a [3,1]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,4]*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,3]^2*a [3,1]*a[4,2]-a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[4,1]*a[4,2]-a[1,2]*a[1,4]*a[2,3]*a[3 ,1]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,3]+a[1,2]*a[1,4]*a[2,4 ]*a[3,1]*a[4,3]^2-a[1,2]*a[1,4]*a[2,4]*a[3,3]*a[4,1]*a[4,3]+a[1,3]^2*a[2,1]*a[2 ,2]*a[3,4]*a[4,2]-a[1,3]^2*a[2,1]*a[2,4]*a[3,2]*a[4,2]+a[1,3]^2*a[2,1]*a[3,2]*a [3,4]*a[4,3]-a[1,3]^2*a[2,1]*a[3,3]*a[3,4]*a[4,2]+a[1,3]^2*a[2,3]*a[3,1]*a[3,4] *a[4,2]-a[1,3]^2*a[2,3]*a[3,2]*a[3,4]*a[4,1]-a[1,3]^2*a[2,4]*a[3,1]*a[3,2]*a[4, 3]+a[1,3]^2*a[2,4]*a[3,2]*a[3,3]*a[4,1]-a[1,3]^2*a[2,4]*a[3,2]*a[4,1]*a[4,4]+a[ 1,3]^2*a[2,4]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[3,3]*a[4,2]+a[ 1,3]*a[1,4]*a[2,1]*a[2,2]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[4, 2]-a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[4,2]^2-a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[3,3]*a[4, 3]+a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[4,3]*a[4,4]+a[1,3]*a[1,4]*a[2,1]*a[3,3]^2*a[4, 2]-a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,2] *a[4,3]-a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,3]*a[4,2]+a[1,3]*a[1,4]*a[2,3]*a[3,1]*a [4,2]*a[4,4]-a[1,3]*a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,4]*a[3 ,1]*a[4,2]*a[4,3]+a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,1]*a[4,3]-a[1,4]^2*a[2,1]*a[2 ,2]*a[4,2]*a[4,3]+a[1,4]^2*a[2,1]*a[2,3]*a[4,2]^2-a[1,4]^2*a[2,1]*a[3,2]*a[4,3] ^2+a[1,4]^2*a[2,1]*a[3,3]*a[4,2]*a[4,3]) = 0 ------------------------------------ Theorem number, 8, : let, {X[1, 2], X[1, 3], X[2, 1], X[4, 1]}, be the entrie\ s of an ARBITRARY power of the general matrix M, we always have the line\ ar relation 2 (a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[4, 3] 2 - a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[4, 2] 2 + a[1, 2] a[2, 1] a[2, 3] a[4, 2] a[4, 4] 2 - a[1, 2] a[2, 1] a[2, 4] a[4, 2] a[4, 3] - a[1, 2] a[2, 1] a[2, 2] a[2, 3] a[3, 1] a[4, 3] + a[1, 2] a[2, 1] a[2, 2] a[2, 3] a[3, 3] a[4, 1] - a[1, 2] a[2, 1] a[2, 2] a[2, 3] a[4, 1] a[4, 4] + a[1, 2] a[2, 1] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[2, 1] a[2, 3] a[3, 1] a[4, 2] 2 - a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[4, 1] + a[1, 2] a[2, 1] a[2, 3] a[3, 1] a[4, 3] a[4, 4] - a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[4, 1] a[4, 4] + a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[2, 1] a[2, 3] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 1] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[2, 1] a[2, 4] a[4, 1] a[4, 3] a[4, 4] 2 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 1] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] 2 - a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 4] 2 2 + a[1, 2] a[2, 4] a[4, 1] a[4, 3] 2 - a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[4, 3] 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 3] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 2] a[4, 2] a[4, 4] 2 2 + a[1, 3] a[2, 1] a[2, 4] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 2] a[3, 3] a[4, 3] 2 2 - a[1, 3] a[2, 1] a[3, 3] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 3] a[4, 2] a[4, 4] 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[4, 3] 2 - a[1, 3] a[2, 1] a[2, 2] a[3, 3] a[4, 1] 2 + a[1, 3] a[2, 1] a[2, 2] a[4, 1] a[4, 4] - a[1, 3] a[2, 1] a[2, 2] a[2, 3] a[3, 1] a[4, 2] + a[1, 3] a[2, 1] a[2, 2] a[2, 3] a[3, 2] a[4, 1] - a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[4, 1] a[4, 2] - a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[3, 3] a[4, 3] - a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 3] a[4, 1] 2 - a[1, 3] a[2, 1] a[2, 2] a[4, 1] a[4, 4] - a[1, 3] a[2, 1] a[2, 3] a[3, 1] a[3, 2] a[4, 3] + 2 a[1, 3] a[2, 1] a[2, 3] a[3, 1] a[3, 3] a[4, 2] - a[1, 3] a[2, 1] a[2, 3] a[3, 1] a[4, 2] a[4, 4] - a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[3, 3] a[4, 1] + a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 1] a[4, 2] + 2 a[1, 3] a[2, 1] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 3] + a[1, 3] a[2, 1] a[2, 4] a[4, 1] a[4, 2] a[4, 4] + a[1, 3] a[2, 1] a[3, 1] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 3] a[2, 1] a[3, 1] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 3] a[4, 1] a[4, 4] + a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 3] a[2, 1] a[3, 3] a[4, 1] a[4, 4] - a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[4, 3] - a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 1] + a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[4, 1] a[4, 4] + a[1, 3] a[2, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 3] 2 - a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 1] 2 + a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 4] 2 2 - a[1, 3] a[2, 3] a[3, 1] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 1] - 2 a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 + a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 1] 2 - a[1, 3] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 3] a[2, 3] a[3, 1] a[3, 3] a[4, 1] a[4, 4] + a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 3] a[2, 3] a[3, 1] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 3] a[3, 3] a[3, 4] a[4, 1] 2 + a[1, 3] a[2, 3] a[3, 4] a[4, 1] a[4, 4] 2 2 2 2 - a[1, 3] a[2, 4] a[4, 1] a[4, 2] + a[1, 3] a[2, 4] a[3, 1] a[4, 3] - 2 a[1, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 3] + a[1, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 3] a[4, 4] 2 2 + a[1, 3] a[2, 4] a[3, 3] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 4] 2 + a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 4] a[2, 1] a[2, 3] a[4, 2] + a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 2] a[4, 1] a[4, 3] + a[1, 4] a[2, 1] a[2, 2] a[2, 3] a[4, 1] a[4, 2] + a[1, 4] a[2, 1] a[2, 2] a[3, 3] a[4, 1] a[4, 3] + a[1, 4] a[2, 1] a[2, 2] a[4, 1] a[4, 3] a[4, 4] - a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 1] a[4, 3] - a[1, 4] a[2, 1] a[2, 3] a[4, 1] a[4, 2] a[4, 4] - a[1, 4] a[2, 1] a[3, 3] a[4, 1] a[4, 3] a[4, 4] 2 + a[1, 4] a[2, 1] a[3, 4] a[4, 1] a[4, 3] - a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 1] a[4, 3] 2 - a[1, 4] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 1] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 2] + a[1, 4] a[2, 3] a[3, 1] a[4, 1] a[4, 3] a[4, 4] 2 - a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 4] a[2, 4] a[3, 1] a[4, 1] a[4, 3] 2 + a[1, 4] a[2, 4] a[3, 3] a[4, 1] a[4, 3]) X[1, 2] + ( a[1, 2] a[2, 1] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 2] a[2, 1] a[2, 3] a[3, 1] a[3, 3] a[4, 2] + a[1, 2] a[2, 1] a[2, 3] a[3, 1] a[4, 2] a[4, 4] - a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 2] a[2, 1] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[4, 3] + a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 1] - a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[4, 1] a[4, 4] 2 + a[1, 2] a[2, 2] a[2, 3] a[3, 4] a[4, 1] 2 2 + a[1, 2] a[2, 3] a[3, 1] a[4, 2] 2 - a[1, 2] a[2, 3] a[3, 1] a[3, 2] a[4, 1] + a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 1] 2 + a[1, 2] a[2, 3] a[3, 1] a[4, 3] a[4, 4] - a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 1] a[4, 4] 2 + a[1, 2] a[2, 3] a[3, 1] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 4] 2 2 - a[1, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 3] - a[1, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 3] 2 2 - a[1, 3] a[2, 1] a[3, 2] a[4, 3] 2 + a[1, 3] a[2, 1] a[3, 2] a[3, 3] a[4, 2] 2 - a[1, 3] a[2, 1] a[3, 2] a[4, 2] a[4, 4] 2 2 + a[1, 3] a[2, 1] a[3, 4] a[4, 2] + a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[3, 3] a[4, 1] + a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[4, 1] a[4, 4] - a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[2, 1] a[2, 3] a[3, 1] a[3, 2] a[4, 2] 2 + a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 1] - a[1, 3] a[2, 1] a[3, 1] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[2, 1] a[3, 1] a[3, 4] a[4, 2] a[4, 3] + a[1, 3] a[2, 1] a[3, 2] a[3, 3] a[4, 1] a[4, 4] - a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 2] a[4, 1] a[4, 4] + a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 2] a[4, 4] - a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] + a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] + a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[4, 2] a[4, 3] - a[1, 4] a[2, 1] a[2, 2] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 3] a[3, 1] a[4, 2] + a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 1] a[3, 1] a[3, 2] a[4, 3] - a[1, 4] a[2, 1] a[3, 1] a[3, 3] a[4, 2] a[4, 3] + a[1, 4] a[2, 1] a[3, 2] a[4, 1] a[4, 3] a[4, 4] - a[1, 4] a[2, 1] a[3, 4] a[4, 1] a[4, 2] a[4, 3] - a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 1] a[4, 3] + a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 1] a[4, 2] - a[1, 4] a[2, 3] a[3, 1] a[4, 1] a[4, 2] a[4, 4] 2 + a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 4] a[2, 4] a[3, 1] a[4, 1] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3]) X[1, 3] + ( 2 -a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[4, 3] 2 + a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[4, 2] 2 - a[1, 2] a[2, 1] a[2, 3] a[4, 2] a[4, 4] 2 + a[1, 2] a[2, 1] a[2, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[4, 3] 2 - a[1, 2] a[2, 2] a[2, 3] a[3, 3] a[4, 1] 2 + a[1, 2] a[2, 2] a[2, 3] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 2 2 2 - a[1, 2] a[2, 3] a[3, 1] a[4, 2] + a[1, 2] a[2, 3] a[3, 2] a[4, 1] 2 - a[1, 2] a[2, 3] a[3, 1] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 3] a[3, 3] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 2 2 2 - a[1, 2] a[2, 3] a[4, 1] a[4, 4] + a[1, 2] a[2, 4] a[3, 1] a[4, 3] 2 + a[1, 2] a[2, 4] a[4, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 3] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[4, 2] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 2] - a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[3, 3] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 2] - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 2] a[3, 1] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 2] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 2] a[4, 1] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 2] a[3, 1] a[3, 3] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[3, 1] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 2] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[3, 3] a[4, 2] + a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 2] a[4, 4] - a[1, 2] a[1, 3] a[3, 1] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[3, 1] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[3, 3] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[3, 3] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[3, 4] a[4, 1] a[4, 3] a[4, 4] - a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 2] 2 - a[1, 2] a[1, 4] a[2, 1] a[3, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 2] a[4, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 2] a[3, 3] a[4, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[4, 1] a[4, 3] a[4, 4] + 2 a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 1] a[4, 2] + 2 a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 2] a[4, 4] - a[1, 2] a[1, 4] a[2, 4] a[4, 1] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[3, 3] a[4, 1] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[3, 4] a[4, 1] a[4, 3] 2 2 + a[1, 3] a[2, 1] a[3, 2] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 2] a[3, 3] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 2] a[4, 2] a[4, 4] 2 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 2] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 3] a[2, 2] a[3, 2] a[3, 3] a[4, 1] 2 - a[1, 3] a[2, 2] a[3, 2] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 2] 2 2 - a[1, 3] a[2, 3] a[3, 2] a[4, 1] 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 2] 2 + a[1, 3] a[3, 1] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 3] a[3, 2] a[3, 3] a[4, 1] a[4, 4] 2 2 + a[1, 3] a[3, 2] a[4, 1] a[4, 4] 2 + a[1, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[3, 4] a[4, 1] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 2] a[3, 1] a[4, 2] a[4, 3] + a[1, 3] a[1, 4] a[2, 2] a[3, 2] a[4, 1] a[4, 3] + a[1, 3] a[1, 4] a[2, 2] a[3, 3] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 2] a[4, 1] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] - 2 a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 1] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[1, 4] a[3, 1] a[3, 2] a[4, 3] + a[1, 3] a[1, 4] a[3, 1] a[3, 3] a[4, 2] a[4, 3] + a[1, 3] a[1, 4] a[3, 2] a[3, 3] a[4, 1] a[4, 3] - 2 a[1, 3] a[1, 4] a[3, 2] a[4, 1] a[4, 3] a[4, 4] 2 - a[1, 3] a[1, 4] a[3, 3] a[4, 1] a[4, 2] + a[1, 3] a[1, 4] a[3, 3] a[4, 1] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[3, 4] a[4, 1] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 2] a[4, 1] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 4] a[2, 3] a[4, 1] a[4, 2] + a[1, 4] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 4] a[3, 3] a[4, 1] a[4, 2] a[4, 3]) X[2, 1] + X[4, 1] ( 2 2 a[1, 2] a[2, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 4] 2 2 - a[1, 2] a[2, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 3] + a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 2] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 1] a[4, 3] 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 3] + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 4] a[2, 1] a[2, 3] a[4, 2] - a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 3]) = 0 in Maple notation (a[1,2]*a[2,1]^2*a[2,3]*a[3,2]*a[4,3]-a[1,2]*a[2,1]^2*a[2,3]*a[3,3]*a[4,2]+a[1, 2]*a[2,1]^2*a[2,3]*a[4,2]*a[4,4]-a[1,2]*a[2,1]^2*a[2,4]*a[4,2]*a[4,3]-a[1,2]*a[ 2,1]*a[2,2]*a[2,3]*a[3,1]*a[4,3]+a[1,2]*a[2,1]*a[2,2]*a[2,3]*a[3,3]*a[4,1]-a[1, 2]*a[2,1]*a[2,2]*a[2,3]*a[4,1]*a[4,4]+a[1,2]*a[2,1]*a[2,2]*a[2,4]*a[4,1]*a[4,3] +a[1,2]*a[2,1]*a[2,3]^2*a[3,1]*a[4,2]-a[1,2]*a[2,1]*a[2,3]^2*a[3,2]*a[4,1]+a[1, 2]*a[2,1]*a[2,3]*a[3,1]*a[4,3]*a[4,4]-a[1,2]*a[2,1]*a[2,3]*a[3,3]*a[4,1]*a[4,4] +a[1,2]*a[2,1]*a[2,3]*a[3,4]*a[4,1]*a[4,3]+a[1,2]*a[2,1]*a[2,3]*a[4,1]*a[4,4]^2 -a[1,2]*a[2,1]*a[2,4]*a[3,1]*a[4,3]^2-a[1,2]*a[2,1]*a[2,4]*a[4,1]*a[4,3]*a[4,4] -a[1,2]*a[2,3]^2*a[3,4]*a[4,1]^2+a[1,2]*a[2,3]*a[2,4]*a[3,3]*a[4,1]^2-a[1,2]*a[ 2,3]*a[2,4]*a[4,1]^2*a[4,4]+a[1,2]*a[2,4]^2*a[4,1]^2*a[4,3]-a[1,3]*a[2,1]^2*a[2 ,2]*a[3,2]*a[4,3]+a[1,3]*a[2,1]^2*a[2,2]*a[3,3]*a[4,2]-a[1,3]*a[2,1]^2*a[2,2]*a [4,2]*a[4,4]+a[1,3]*a[2,1]^2*a[2,4]*a[4,2]^2+a[1,3]*a[2,1]^2*a[3,2]*a[3,3]*a[4, 3]-a[1,3]*a[2,1]^2*a[3,3]^2*a[4,2]+a[1,3]*a[2,1]^2*a[3,3]*a[4,2]*a[4,4]-a[1,3]* a[2,1]^2*a[3,4]*a[4,2]*a[4,3]+a[1,3]*a[2,1]*a[2,2]^2*a[3,1]*a[4,3]-a[1,3]*a[2,1 ]*a[2,2]^2*a[3,3]*a[4,1]+a[1,3]*a[2,1]*a[2,2]^2*a[4,1]*a[4,4]-a[1,3]*a[2,1]*a[2 ,2]*a[2,3]*a[3,1]*a[4,2]+a[1,3]*a[2,1]*a[2,2]*a[2,3]*a[3,2]*a[4,1]-a[1,3]*a[2,1 ]*a[2,2]*a[2,4]*a[4,1]*a[4,2]-a[1,3]*a[2,1]*a[2,2]*a[3,1]*a[3,3]*a[4,3]-a[1,3]* a[2,1]*a[2,2]*a[3,1]*a[4,3]*a[4,4]+a[1,3]*a[2,1]*a[2,2]*a[3,3]^2*a[4,1]-a[1,3]* a[2,1]*a[2,2]*a[4,1]*a[4,4]^2-a[1,3]*a[2,1]*a[2,3]*a[3,1]*a[3,2]*a[4,3]+2*a[1,3 ]*a[2,1]*a[2,3]*a[3,1]*a[3,3]*a[4,2]-a[1,3]*a[2,1]*a[2,3]*a[3,1]*a[4,2]*a[4,4]- a[1,3]*a[2,1]*a[2,3]*a[3,2]*a[3,3]*a[4,1]+a[1,3]*a[2,1]*a[2,3]*a[3,4]*a[4,1]*a[ 4,2]+2*a[1,3]*a[2,1]*a[2,4]*a[3,1]*a[4,2]*a[4,3]-a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[ 4,1]*a[4,3]+a[1,3]*a[2,1]*a[2,4]*a[4,1]*a[4,2]*a[4,4]+a[1,3]*a[2,1]*a[3,1]*a[3, 3]*a[4,3]*a[4,4]-a[1,3]*a[2,1]*a[3,1]*a[3,4]*a[4,3]^2-a[1,3]*a[2,1]*a[3,3]^2*a[ 4,1]*a[4,4]+a[1,3]*a[2,1]*a[3,3]*a[3,4]*a[4,1]*a[4,3]+a[1,3]*a[2,1]*a[3,3]*a[4, 1]*a[4,4]^2-a[1,3]*a[2,1]*a[3,4]*a[4,1]*a[4,3]*a[4,4]+a[1,3]*a[2,2]*a[2,3]*a[3, 1]^2*a[4,3]-a[1,3]*a[2,2]*a[2,3]*a[3,1]*a[3,3]*a[4,1]+a[1,3]*a[2,2]*a[2,3]*a[3, 1]*a[4,1]*a[4,4]+a[1,3]*a[2,2]*a[2,4]*a[3,1]*a[4,1]*a[4,3]-a[1,3]*a[2,2]*a[2,4] *a[3,3]*a[4,1]^2+a[1,3]*a[2,2]*a[2,4]*a[4,1]^2*a[4,4]-a[1,3]*a[2,3]^2*a[3,1]^2* a[4,2]+a[1,3]*a[2,3]^2*a[3,1]*a[3,2]*a[4,1]-2*a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[4,1 ]*a[4,2]+a[1,3]*a[2,3]*a[2,4]*a[3,2]*a[4,1]^2-a[1,3]*a[2,3]*a[3,1]^2*a[4,3]*a[4 ,4]+a[1,3]*a[2,3]*a[3,1]*a[3,3]*a[4,1]*a[4,4]+a[1,3]*a[2,3]*a[3,1]*a[3,4]*a[4,1 ]*a[4,3]-a[1,3]*a[2,3]*a[3,1]*a[4,1]*a[4,4]^2-a[1,3]*a[2,3]*a[3,3]*a[3,4]*a[4,1 ]^2+a[1,3]*a[2,3]*a[3,4]*a[4,1]^2*a[4,4]-a[1,3]*a[2,4]^2*a[4,1]^2*a[4,2]+a[1,3] *a[2,4]*a[3,1]^2*a[4,3]^2-2*a[1,3]*a[2,4]*a[3,1]*a[3,3]*a[4,1]*a[4,3]+a[1,3]*a[ 2,4]*a[3,1]*a[4,1]*a[4,3]*a[4,4]+a[1,3]*a[2,4]*a[3,3]^2*a[4,1]^2-a[1,3]*a[2,4]* a[3,3]*a[4,1]^2*a[4,4]+a[1,4]*a[2,1]^2*a[2,2]*a[4,2]*a[4,3]-a[1,4]*a[2,1]^2*a[2 ,3]*a[4,2]^2+a[1,4]*a[2,1]^2*a[3,2]*a[4,3]^2-a[1,4]*a[2,1]^2*a[3,3]*a[4,2]*a[4, 3]-a[1,4]*a[2,1]*a[2,2]^2*a[4,1]*a[4,3]+a[1,4]*a[2,1]*a[2,2]*a[2,3]*a[4,1]*a[4, 2]+a[1,4]*a[2,1]*a[2,2]*a[3,3]*a[4,1]*a[4,3]+a[1,4]*a[2,1]*a[2,2]*a[4,1]*a[4,3] *a[4,4]-a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[4,1]*a[4,3]-a[1,4]*a[2,1]*a[2,3]*a[4,1]*a [4,2]*a[4,4]-a[1,4]*a[2,1]*a[3,3]*a[4,1]*a[4,3]*a[4,4]+a[1,4]*a[2,1]*a[3,4]*a[4 ,1]*a[4,3]^2-a[1,4]*a[2,2]*a[2,3]*a[3,1]*a[4,1]*a[4,3]-a[1,4]*a[2,2]*a[2,4]*a[4 ,1]^2*a[4,3]+a[1,4]*a[2,3]^2*a[3,1]*a[4,1]*a[4,2]+a[1,4]*a[2,3]*a[2,4]*a[4,1]^2 *a[4,2]+a[1,4]*a[2,3]*a[3,1]*a[4,1]*a[4,3]*a[4,4]-a[1,4]*a[2,3]*a[3,4]*a[4,1]^2 *a[4,3]-a[1,4]*a[2,4]*a[3,1]*a[4,1]*a[4,3]^2+a[1,4]*a[2,4]*a[3,3]*a[4,1]^2*a[4, 3])*X[1,2]+(a[1,2]*a[2,1]*a[2,3]*a[3,1]*a[3,2]*a[4,3]-a[1,2]*a[2,1]*a[2,3]*a[3, 1]*a[3,3]*a[4,2]+a[1,2]*a[2,1]*a[2,3]*a[3,1]*a[4,2]*a[4,4]-a[1,2]*a[2,1]*a[2,3] *a[3,4]*a[4,1]*a[4,2]-a[1,2]*a[2,1]*a[2,4]*a[3,1]*a[4,2]*a[4,3]+a[1,2]*a[2,1]*a [2,4]*a[3,2]*a[4,1]*a[4,3]-a[1,2]*a[2,2]*a[2,3]*a[3,1]^2*a[4,3]+a[1,2]*a[2,2]*a [2,3]*a[3,1]*a[3,3]*a[4,1]-a[1,2]*a[2,2]*a[2,3]*a[3,1]*a[4,1]*a[4,4]+a[1,2]*a[2 ,2]*a[2,3]*a[3,4]*a[4,1]^2+a[1,2]*a[2,3]^2*a[3,1]^2*a[4,2]-a[1,2]*a[2,3]^2*a[3, 1]*a[3,2]*a[4,1]+a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[4,1]*a[4,2]-a[1,2]*a[2,3]*a[2,4] *a[3,2]*a[4,1]^2+a[1,2]*a[2,3]*a[3,1]^2*a[4,3]*a[4,4]-a[1,2]*a[2,3]*a[3,1]*a[3, 3]*a[4,1]*a[4,4]+a[1,2]*a[2,3]*a[3,1]*a[4,1]*a[4,4]^2-a[1,2]*a[2,3]*a[3,4]*a[4, 1]^2*a[4,4]-a[1,2]*a[2,4]*a[3,1]^2*a[4,3]^2+a[1,2]*a[2,4]*a[3,1]*a[3,3]*a[4,1]* a[4,3]-a[1,2]*a[2,4]*a[3,1]*a[4,1]*a[4,3]*a[4,4]+a[1,2]*a[2,4]*a[3,4]*a[4,1]^2* a[4,3]-a[1,3]*a[2,1]^2*a[3,2]^2*a[4,3]+a[1,3]*a[2,1]^2*a[3,2]*a[3,3]*a[4,2]-a[1 ,3]*a[2,1]^2*a[3,2]*a[4,2]*a[4,4]+a[1,3]*a[2,1]^2*a[3,4]*a[4,2]^2+a[1,3]*a[2,1] *a[2,2]*a[3,1]*a[3,2]*a[4,3]-a[1,3]*a[2,1]*a[2,2]*a[3,2]*a[3,3]*a[4,1]+a[1,3]*a [2,1]*a[2,2]*a[3,2]*a[4,1]*a[4,4]-a[1,3]*a[2,1]*a[2,2]*a[3,4]*a[4,1]*a[4,2]-a[1 ,3]*a[2,1]*a[2,3]*a[3,1]*a[3,2]*a[4,2]+a[1,3]*a[2,1]*a[2,3]*a[3,2]^2*a[4,1]-a[1 ,3]*a[2,1]*a[3,1]*a[3,2]*a[4,3]*a[4,4]+a[1,3]*a[2,1]*a[3,1]*a[3,4]*a[4,2]*a[4,3 ]+a[1,3]*a[2,1]*a[3,2]*a[3,3]*a[4,1]*a[4,4]-a[1,3]*a[2,1]*a[3,2]*a[3,4]*a[4,1]* a[4,3]-a[1,3]*a[2,1]*a[3,2]*a[4,1]*a[4,4]^2+a[1,3]*a[2,1]*a[3,4]*a[4,1]*a[4,2]* a[4,4]-a[1,3]*a[2,3]*a[3,1]*a[3,4]*a[4,1]*a[4,2]+a[1,3]*a[2,3]*a[3,2]*a[3,4]*a[ 4,1]^2+a[1,3]*a[2,4]*a[3,1]*a[3,2]*a[4,1]*a[4,3]-a[1,3]*a[2,4]*a[3,2]*a[3,3]*a[ 4,1]^2+a[1,3]*a[2,4]*a[3,2]*a[4,1]^2*a[4,4]-a[1,3]*a[2,4]*a[3,4]*a[4,1]^2*a[4,2 ]+a[1,4]*a[2,1]*a[2,2]*a[3,1]*a[4,2]*a[4,3]-a[1,4]*a[2,1]*a[2,2]*a[3,2]*a[4,1]* a[4,3]-a[1,4]*a[2,1]*a[2,3]*a[3,1]*a[4,2]^2+a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[4,1]* a[4,2]+a[1,4]*a[2,1]*a[3,1]*a[3,2]*a[4,3]^2-a[1,4]*a[2,1]*a[3,1]*a[3,3]*a[4,2]* a[4,3]+a[1,4]*a[2,1]*a[3,2]*a[4,1]*a[4,3]*a[4,4]-a[1,4]*a[2,1]*a[3,4]*a[4,1]*a[ 4,2]*a[4,3]-a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,1]*a[4,3]+a[1,4]*a[2,3]*a[3,1]*a[3, 3]*a[4,1]*a[4,2]-a[1,4]*a[2,3]*a[3,1]*a[4,1]*a[4,2]*a[4,4]+a[1,4]*a[2,3]*a[3,4] *a[4,1]^2*a[4,2]+a[1,4]*a[2,4]*a[3,1]*a[4,1]*a[4,2]*a[4,3]-a[1,4]*a[2,4]*a[3,2] *a[4,1]^2*a[4,3])*X[1,3]+(-a[1,2]^2*a[2,1]*a[2,3]*a[3,2]*a[4,3]+a[1,2]^2*a[2,1] *a[2,3]*a[3,3]*a[4,2]-a[1,2]^2*a[2,1]*a[2,3]*a[4,2]*a[4,4]+a[1,2]^2*a[2,1]*a[2, 4]*a[4,2]*a[4,3]+a[1,2]^2*a[2,2]*a[2,3]*a[3,1]*a[4,3]-a[1,2]^2*a[2,2]*a[2,3]*a[ 3,3]*a[4,1]+a[1,2]^2*a[2,2]*a[2,3]*a[4,1]*a[4,4]-a[1,2]^2*a[2,2]*a[2,4]*a[4,1]* a[4,3]-a[1,2]^2*a[2,3]^2*a[3,1]*a[4,2]+a[1,2]^2*a[2,3]^2*a[3,2]*a[4,1]-a[1,2]^2 *a[2,3]*a[3,1]*a[4,3]*a[4,4]+a[1,2]^2*a[2,3]*a[3,3]*a[4,1]*a[4,4]-a[1,2]^2*a[2, 3]*a[3,4]*a[4,1]*a[4,3]-a[1,2]^2*a[2,3]*a[4,1]*a[4,4]^2+a[1,2]^2*a[2,4]*a[3,1]* a[4,3]^2+a[1,2]^2*a[2,4]*a[4,1]*a[4,3]*a[4,4]+a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[3,2 ]*a[4,3]-a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[3,3]*a[4,2]+a[1,2]*a[1,3]*a[2,1]*a[2,2]* a[4,2]*a[4,4]-a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[4,2]^2-a[1,2]*a[1,3]*a[2,1]*a[3,2]* a[3,3]*a[4,3]+a[1,2]*a[1,3]*a[2,1]*a[3,3]^2*a[4,2]-a[1,2]*a[1,3]*a[2,1]*a[3,3]* a[4,2]*a[4,4]+a[1,2]*a[1,3]*a[2,1]*a[3,4]*a[4,2]*a[4,3]-a[1,2]*a[1,3]*a[2,2]^2* a[3,1]*a[4,3]+a[1,2]*a[1,3]*a[2,2]^2*a[3,3]*a[4,1]-a[1,2]*a[1,3]*a[2,2]^2*a[4,1 ]*a[4,4]+a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,1]*a[4,2]-a[1,2]*a[1,3]*a[2,2]*a[2,3]* a[3,2]*a[4,1]+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,1]*a[4,2]+a[1,2]*a[1,3]*a[2,2]*a[ 3,1]*a[3,3]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[3,1]*a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[2, 2]*a[3,3]^2*a[4,1]+a[1,2]*a[1,3]*a[2,2]*a[4,1]*a[4,4]^2-a[1,2]*a[1,3]*a[2,3]*a[ 3,1]*a[3,3]*a[4,2]+a[1,2]*a[1,3]*a[2,3]*a[3,2]*a[3,3]*a[4,1]+a[1,2]*a[1,3]*a[2, 3]*a[3,4]*a[4,1]*a[4,2]-a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[4,2]*a[4,3]-a[1,2]*a[1,3] *a[2,4]*a[3,2]*a[4,1]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[4,1]*a[4,2]*a[4,4]-a[1,2]*a [1,3]*a[3,1]*a[3,3]*a[4,3]*a[4,4]+a[1,2]*a[1,3]*a[3,1]*a[3,4]*a[4,3]^2+a[1,2]*a [1,3]*a[3,3]^2*a[4,1]*a[4,4]-a[1,2]*a[1,3]*a[3,3]*a[3,4]*a[4,1]*a[4,3]-a[1,2]*a [1,3]*a[3,3]*a[4,1]*a[4,4]^2+a[1,2]*a[1,3]*a[3,4]*a[4,1]*a[4,3]*a[4,4]-a[1,2]*a [1,4]*a[2,1]*a[2,2]*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[4,2]^2-a[1,2]*a [1,4]*a[2,1]*a[3,2]*a[4,3]^2+a[1,2]*a[1,4]*a[2,1]*a[3,3]*a[4,2]*a[4,3]+a[1,2]*a [1,4]*a[2,2]^2*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[4,1]*a[4,2]-a[1,2]*a [1,4]*a[2,2]*a[3,3]*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,2]*a[4,1]*a[4,3]*a[4,4]+2*a [1,2]*a[1,4]*a[2,3]*a[3,2]*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,3]*a[3,3]*a[4,1]*a[4 ,2]+2*a[1,2]*a[1,4]*a[2,3]*a[4,1]*a[4,2]*a[4,4]-a[1,2]*a[1,4]*a[2,4]*a[4,1]*a[4 ,2]*a[4,3]+a[1,2]*a[1,4]*a[3,3]*a[4,1]*a[4,3]*a[4,4]-a[1,2]*a[1,4]*a[3,4]*a[4,1 ]*a[4,3]^2+a[1,3]^2*a[2,1]*a[3,2]^2*a[4,3]-a[1,3]^2*a[2,1]*a[3,2]*a[3,3]*a[4,2] +a[1,3]^2*a[2,1]*a[3,2]*a[4,2]*a[4,4]-a[1,3]^2*a[2,1]*a[3,4]*a[4,2]^2-a[1,3]^2* a[2,2]*a[3,1]*a[3,2]*a[4,3]+a[1,3]^2*a[2,2]*a[3,2]*a[3,3]*a[4,1]-a[1,3]^2*a[2,2 ]*a[3,2]*a[4,1]*a[4,4]+a[1,3]^2*a[2,3]*a[3,1]*a[3,2]*a[4,2]-a[1,3]^2*a[2,3]*a[3 ,2]^2*a[4,1]+a[1,3]^2*a[2,4]*a[3,2]*a[4,1]*a[4,2]+a[1,3]^2*a[3,1]*a[3,2]*a[4,3] *a[4,4]-a[1,3]^2*a[3,1]*a[3,4]*a[4,2]*a[4,3]-a[1,3]^2*a[3,2]*a[3,3]*a[4,1]*a[4, 4]+a[1,3]^2*a[3,2]*a[4,1]*a[4,4]^2+a[1,3]^2*a[3,3]*a[3,4]*a[4,1]*a[4,2]-a[1,3]^ 2*a[3,4]*a[4,1]*a[4,2]*a[4,4]-a[1,3]*a[1,4]*a[2,2]*a[3,1]*a[4,2]*a[4,3]+a[1,3]* a[1,4]*a[2,2]*a[3,2]*a[4,1]*a[4,3]+a[1,3]*a[1,4]*a[2,2]*a[3,3]*a[4,1]*a[4,2]-a[ 1,3]*a[1,4]*a[2,2]*a[4,1]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[4,2]^2-2* a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,1]*a[4,2]+a[1,3]*a[1,4]*a[2,4]*a[4,1]*a[4,2]^2- a[1,3]*a[1,4]*a[3,1]*a[3,2]*a[4,3]^2+a[1,3]*a[1,4]*a[3,1]*a[3,3]*a[4,2]*a[4,3]+ a[1,3]*a[1,4]*a[3,2]*a[3,3]*a[4,1]*a[4,3]-2*a[1,3]*a[1,4]*a[3,2]*a[4,1]*a[4,3]* a[4,4]-a[1,3]*a[1,4]*a[3,3]^2*a[4,1]*a[4,2]+a[1,3]*a[1,4]*a[3,3]*a[4,1]*a[4,2]* a[4,4]+a[1,3]*a[1,4]*a[3,4]*a[4,1]*a[4,2]*a[4,3]+a[1,4]^2*a[2,2]*a[4,1]*a[4,2]* a[4,3]-a[1,4]^2*a[2,3]*a[4,1]*a[4,2]^2+a[1,4]^2*a[3,2]*a[4,1]*a[4,3]^2-a[1,4]^2 *a[3,3]*a[4,1]*a[4,2]*a[4,3])*X[2,1]+X[4,1]*(a[1,2]^2*a[2,3]^2*a[3,4]*a[4,1]-a[ 1,2]^2*a[2,3]*a[2,4]*a[3,3]*a[4,1]+a[1,2]^2*a[2,3]*a[2,4]*a[4,1]*a[4,4]-a[1,2]^ 2*a[2,4]^2*a[4,1]*a[4,3]-a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,4]*a[4,2]+a[1,2]*a[1,3 ]*a[2,1]*a[2,4]*a[3,2]*a[4,3]-a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,1]-a[1,2]* a[1,3]*a[2,2]*a[2,4]*a[3,1]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,3]*a[4,1]-a[ 1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,1]*a[4,4]+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[4, 2]-a[1,2]*a[1,3]*a[2,3]*a[3,1]*a[3,4]*a[4,3]+a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[3,4] *a[4,1]+a[1,2]*a[1,3]*a[2,4]^2*a[4,1]*a[4,2]+a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[3,3] *a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[3,3]^2*a[4,1]+a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,1] *a[4,4]-a[1,2]*a[1,3]*a[2,4]*a[3,4]*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a [3,2]*a[4,3]+a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,3]*a[4,2]-a[1,2]*a[1,4]*a[2,1]*a[2 ,3]*a[4,2]*a[4,4]+a[1,2]*a[1,4]*a[2,1]*a[2,4]*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[2,2 ]*a[2,3]*a[3,1]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,4]*a[4,1]*a[4,3]-a[1,2]*a[1,4]* a[2,3]^2*a[3,1]*a[4,2]-a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[4,1]*a[4,2]-a[1,2]*a[1,4]* a[2,3]*a[3,1]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,3]+a[1,2]*a[ 1,4]*a[2,4]*a[3,1]*a[4,3]^2-a[1,2]*a[1,4]*a[2,4]*a[3,3]*a[4,1]*a[4,3]+a[1,3]^2* a[2,1]*a[2,2]*a[3,4]*a[4,2]-a[1,3]^2*a[2,1]*a[2,4]*a[3,2]*a[4,2]+a[1,3]^2*a[2,1 ]*a[3,2]*a[3,4]*a[4,3]-a[1,3]^2*a[2,1]*a[3,3]*a[3,4]*a[4,2]+a[1,3]^2*a[2,3]*a[3 ,1]*a[3,4]*a[4,2]-a[1,3]^2*a[2,3]*a[3,2]*a[3,4]*a[4,1]-a[1,3]^2*a[2,4]*a[3,1]*a [3,2]*a[4,3]+a[1,3]^2*a[2,4]*a[3,2]*a[3,3]*a[4,1]-a[1,3]^2*a[2,4]*a[3,2]*a[4,1] *a[4,4]+a[1,3]^2*a[2,4]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[3,3] *a[4,2]+a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,1]*a[2,3]*a [3,2]*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[4,2]^2-a[1,3]*a[1,4]*a[2,1]*a[3,2]*a [3,3]*a[4,3]+a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[4,3]*a[4,4]+a[1,3]*a[1,4]*a[2,1]*a[3 ,3]^2*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,3]*a[3 ,1]*a[3,2]*a[4,3]-a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,3]*a[4,2]+a[1,3]*a[1,4]*a[2,3 ]*a[3,1]*a[4,2]*a[4,4]-a[1,3]*a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[1,4]* a[2,4]*a[3,1]*a[4,2]*a[4,3]+a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,1]*a[4,3]-a[1,4]^2* a[2,1]*a[2,2]*a[4,2]*a[4,3]+a[1,4]^2*a[2,1]*a[2,3]*a[4,2]^2-a[1,4]^2*a[2,1]*a[3 ,2]*a[4,3]^2+a[1,4]^2*a[2,1]*a[3,3]*a[4,2]*a[4,3]) = 0 ------------------------------------ Theorem number, 9, : let, {X[1, 2], X[1, 3], X[2, 1], X[4, 2]}, be the entrie\ s of an ARBITRARY power of the general matrix M, we always have the line\ ar relation (-a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[4, 3] + a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[4, 2] - a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[4, 2] a[4, 4] + a[1, 1] a[1, 2] a[2, 1] a[2, 4] a[4, 2] a[4, 3] + a[1, 1] a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[2, 1] a[2, 2] a[3, 3] a[4, 2] + a[1, 1] a[1, 3] a[2, 1] a[2, 2] a[4, 2] a[4, 4] 2 - a[1, 1] a[1, 3] a[2, 1] a[2, 4] a[4, 2] - a[1, 1] a[1, 3] a[2, 1] a[3, 2] a[3, 3] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 1] a[3, 3] a[4, 2] - a[1, 1] a[1, 3] a[2, 1] a[3, 3] a[4, 2] a[4, 4] + a[1, 1] a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 3] + a[1, 1] a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[2, 3] a[3, 1] a[3, 3] a[4, 2] + a[1, 1] a[1, 3] a[2, 3] a[3, 1] a[4, 2] a[4, 4] - a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 1] a[1, 3] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 3] - a[1, 1] a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 3] 2 + a[1, 1] a[1, 4] a[2, 1] a[2, 3] a[4, 2] 2 - a[1, 1] a[1, 4] a[2, 1] a[3, 2] a[4, 3] + a[1, 1] a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 3] 2 + a[1, 2] a[2, 1] a[2, 3] a[3, 1] a[4, 3] 2 - a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[4, 1] 2 + a[1, 2] a[2, 1] a[2, 3] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 1] a[2, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 1] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[3, 1] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 1] + a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[4, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 1] a[4, 2] 2 + a[1, 2] a[1, 4] a[2, 1] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[3, 3] a[4, 1] a[4, 3] + a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[4, 3] a[4, 4] - a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[4, 2] a[4, 4] + a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[2, 1] a[2, 3] a[4, 2] a[4, 4] 2 - a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[2, 1] a[2, 4] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 2] - a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 2] a[4, 4] 2 + a[1, 2] a[2, 4] a[4, 1] a[4, 2] a[4, 3] 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[4, 1] 2 - a[1, 3] a[2, 1] a[3, 1] a[3, 3] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 2] a[3, 3] a[4, 1] 2 2 + a[1, 3] a[2, 3] a[3, 1] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 1] 2 + a[1, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 1] - a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[4, 2] a[4, 3] + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 1] a[4, 3] - a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[2, 1] a[2, 2] a[3, 3] a[4, 2] a[4, 4] - a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 3] a[2, 1] a[2, 2] a[4, 2] a[4, 4] + a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 2] a[4, 3] 2 + a[1, 3] a[2, 1] a[2, 4] a[4, 2] a[4, 4] + a[1, 3] a[2, 1] a[3, 2] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 3] a[4, 2] a[4, 4] + a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 3] a[2, 1] a[3, 3] a[4, 2] a[4, 4] - a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 3] a[4, 4] + a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 3] a[2, 2] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 1] a[4, 2] + a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 2] a[4, 4] 2 - a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 2] - a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[2, 3] a[3, 1] a[3, 3] a[4, 2] a[4, 4] 2 - a[1, 3] a[2, 3] a[3, 1] a[4, 2] a[4, 4] + a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 3] - a[1, 3] a[2, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 3] a[2, 3] a[3, 4] a[4, 1] a[4, 2] a[4, 4] 2 2 - a[1, 3] a[2, 4] a[4, 1] a[4, 2] 2 + a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 2] a[4, 3] + a[1, 3] a[2, 4] a[3, 1] a[4, 2] a[4, 3] a[4, 4] - a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] a[4, 3] 2 + a[1, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 2] - a[1, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 2] a[4, 4] 2 + a[1, 4] a[2, 1] a[2, 2] a[3, 2] a[4, 3] + a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 3] a[4, 4] - a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 3] a[4, 2] a[4, 4] - a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 3] a[4, 4] 2 + a[1, 4] a[2, 1] a[3, 4] a[4, 2] a[4, 3] - a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 2] a[4, 3] - a[1, 4] a[2, 2] a[2, 4] a[4, 1] a[4, 2] a[4, 3] 2 2 + a[1, 4] a[2, 3] a[3, 1] a[4, 2] 2 + a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 2] + a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 3] a[4, 4] - a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 4] a[2, 4] a[3, 3] a[4, 1] a[4, 2] a[4, 3]) X[1, 2] + ( -a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[3, 2] a[4, 3] + a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 2] - a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[4, 2] a[4, 4] + a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 1] a[1, 2] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 1] a[1, 2] a[2, 4] a[3, 2] a[4, 1] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 1] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[2, 1] a[3, 2] a[3, 3] a[4, 2] + a[1, 1] a[1, 3] a[2, 1] a[3, 2] a[4, 2] a[4, 4] 2 - a[1, 1] a[1, 3] a[2, 1] a[3, 4] a[4, 2] 2 2 + a[1, 2] a[2, 3] a[3, 1] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 1] 2 + a[1, 2] a[2, 3] a[3, 1] a[4, 1] a[4, 4] 2 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 1] a[3, 1] a[3, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 1] - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 1] - a[1, 2] a[1, 4] a[2, 1] a[3, 1] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[3, 2] a[4, 1] a[4, 3] + a[1, 2] a[2, 3] a[3, 1] a[3, 2] a[4, 3] a[4, 4] - a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 2] a[4, 4] + a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[2, 3] a[3, 1] a[4, 2] a[4, 4] - a[1, 2] a[2, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 3] - a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 2] a[4, 4] 2 - a[1, 2] a[2, 4] a[3, 1] a[3, 2] a[4, 3] - a[1, 2] a[2, 4] a[3, 1] a[4, 2] a[4, 3] a[4, 4] + a[1, 2] a[2, 4] a[3, 2] a[3, 3] a[4, 1] a[4, 3] + a[1, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 2] a[4, 3] 2 + a[1, 3] a[2, 1] a[3, 1] a[3, 2] a[4, 2] 2 2 - a[1, 3] a[2, 1] a[3, 2] a[4, 1] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 1] a[4, 2] 2 - a[1, 3] a[2, 1] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[2, 1] a[3, 2] a[3, 3] a[4, 2] a[4, 4] 2 - a[1, 3] a[2, 1] a[3, 2] a[4, 2] a[4, 4] 2 + a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 4] 2 - a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] + a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 2] + a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 2] a[4, 3] - a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] a[4, 2] + a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 2] a[4, 4] 2 - a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] 2 2 + a[1, 4] a[2, 1] a[3, 2] a[4, 3] - a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 2] a[4, 3] + a[1, 4] a[2, 1] a[3, 2] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 4] a[2, 1] a[3, 4] a[4, 2] a[4, 3] - a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] 2 - a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 4] 2 + a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 2] a[4, 3]) X[1, 3] + ( 2 a[1, 1] a[1, 2] a[2, 3] a[3, 2] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 3] a[4, 2] 2 + a[1, 1] a[1, 2] a[2, 3] a[4, 2] a[4, 4] 2 - a[1, 1] a[1, 2] a[2, 4] a[4, 2] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[3, 2] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 2] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[4, 2] a[4, 4] 2 + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[3, 2] a[3, 3] a[4, 3] 2 - a[1, 1] a[1, 2] a[1, 3] a[3, 3] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[3, 3] a[4, 2] a[4, 4] - a[1, 1] a[1, 2] a[1, 3] a[3, 4] a[4, 2] a[4, 3] + a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[4, 2] a[4, 3] 2 - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[4, 2] 2 + a[1, 1] a[1, 2] a[1, 4] a[3, 2] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[3, 3] a[4, 2] a[4, 3] 2 2 - a[1, 1] a[1, 3] a[3, 2] a[4, 3] 2 + a[1, 1] a[1, 3] a[3, 2] a[3, 3] a[4, 2] 2 - a[1, 1] a[1, 3] a[3, 2] a[4, 2] a[4, 4] 2 2 3 + a[1, 1] a[1, 3] a[3, 4] a[4, 2] - a[1, 2] a[2, 3] a[3, 1] a[4, 3] 3 3 + a[1, 2] a[2, 3] a[3, 3] a[4, 1] - a[1, 2] a[2, 3] a[4, 1] a[4, 4] 3 + a[1, 2] a[2, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 2] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 2] 2 - a[1, 2] a[1, 3] a[3, 1] a[3, 3] a[4, 3] 2 2 + a[1, 2] a[1, 3] a[3, 3] a[4, 1] 2 - a[1, 2] a[1, 3] a[3, 3] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 2] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 2] 2 2 - a[1, 2] a[1, 4] a[3, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[3, 3] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 3] a[3, 3] a[4, 2] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 2] a[2, 3] a[4, 2] a[4, 4] + a[1, 2] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 2] a[2, 4] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 2] a[3, 1] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 2] a[4, 1] 2 + a[1, 2] a[1, 3] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[3, 1] a[3, 3] a[4, 2] 2 - 2 a[1, 2] a[1, 3] a[3, 2] a[3, 3] a[4, 1] 2 + a[1, 2] a[1, 3] a[3, 2] a[4, 1] a[4, 4] 2 - a[1, 2] a[1, 3] a[3, 4] a[4, 1] a[4, 2] + 2 a[1, 2] a[1, 3] a[1, 4] a[3, 1] a[4, 2] a[4, 3] - 2 a[1, 2] a[1, 3] a[1, 4] a[3, 2] a[4, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[3, 2] a[4, 3] a[4, 4] - a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 2] a[4, 2] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 2] - 2 a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 4] - a[1, 2] a[1, 3] a[3, 2] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[3, 2] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[3, 3] a[4, 2] a[4, 4] - a[1, 2] a[1, 3] a[3, 3] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[3, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 3] a[3, 4] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 2] a[3, 2] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[4, 2] a[4, 3] a[4, 4] + 2 a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 2] 2 + 2 a[1, 2] a[1, 4] a[2, 3] a[4, 2] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[3, 3] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[3, 4] a[4, 2] a[4, 3] 3 3 2 - a[1, 3] a[3, 1] a[3, 2] a[4, 2] + a[1, 3] a[3, 2] a[4, 1] 2 2 - a[1, 3] a[1, 4] a[3, 1] a[4, 2] 2 + a[1, 3] a[1, 4] a[3, 2] a[4, 1] a[4, 2] 2 2 2 2 - a[1, 3] a[2, 2] a[3, 4] a[4, 2] + a[1, 3] a[2, 4] a[3, 2] a[4, 2] 2 2 + a[1, 3] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[3, 2] a[3, 3] a[4, 2] a[4, 4] 2 - a[1, 3] a[3, 2] a[3, 4] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 3] a[3, 2] a[4, 2] a[4, 4] + a[1, 3] a[3, 3] a[3, 4] a[4, 2] 2 2 - a[1, 3] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 2] a[3, 3] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 2] a[4, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 2] 3 2 2 + a[1, 3] a[1, 4] a[2, 4] a[4, 2] - a[1, 3] a[1, 4] a[3, 2] a[4, 3] + 2 a[1, 3] a[1, 4] a[3, 2] a[3, 3] a[4, 2] a[4, 3] - 2 a[1, 3] a[1, 4] a[3, 2] a[4, 2] a[4, 3] a[4, 4] 2 2 - a[1, 3] a[1, 4] a[3, 3] a[4, 2] 2 + a[1, 3] a[1, 4] a[3, 3] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[3, 4] a[4, 2] a[4, 3] 2 2 2 3 + a[1, 4] a[2, 2] a[4, 2] a[4, 3] - a[1, 4] a[2, 3] a[4, 2] 2 2 2 2 + a[1, 4] a[3, 2] a[4, 2] a[4, 3] - a[1, 4] a[3, 3] a[4, 2] a[4, 3]) 2 2 X[2, 1] + X[4, 2] (a[1, 2] a[2, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 4] 2 2 - a[1, 2] a[2, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 3] + a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 2] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 1] a[4, 3] 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 3] + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 4] a[2, 1] a[2, 3] a[4, 2] - a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 3]) = 0 in Maple notation (-a[1,1]*a[1,2]*a[2,1]*a[2,3]*a[3,2]*a[4,3]+a[1,1]*a[1,2]*a[2,1]*a[2,3]*a[3,3]* a[4,2]-a[1,1]*a[1,2]*a[2,1]*a[2,3]*a[4,2]*a[4,4]+a[1,1]*a[1,2]*a[2,1]*a[2,4]*a[ 4,2]*a[4,3]+a[1,1]*a[1,3]*a[2,1]*a[2,2]*a[3,2]*a[4,3]-a[1,1]*a[1,3]*a[2,1]*a[2, 2]*a[3,3]*a[4,2]+a[1,1]*a[1,3]*a[2,1]*a[2,2]*a[4,2]*a[4,4]-a[1,1]*a[1,3]*a[2,1] *a[2,4]*a[4,2]^2-a[1,1]*a[1,3]*a[2,1]*a[3,2]*a[3,3]*a[4,3]+a[1,1]*a[1,3]*a[2,1] *a[3,3]^2*a[4,2]-a[1,1]*a[1,3]*a[2,1]*a[3,3]*a[4,2]*a[4,4]+a[1,1]*a[1,3]*a[2,1] *a[3,4]*a[4,2]*a[4,3]+a[1,1]*a[1,3]*a[2,3]*a[3,1]*a[3,2]*a[4,3]-a[1,1]*a[1,3]*a [2,3]*a[3,1]*a[3,3]*a[4,2]+a[1,1]*a[1,3]*a[2,3]*a[3,1]*a[4,2]*a[4,4]-a[1,1]*a[1 ,3]*a[2,3]*a[3,4]*a[4,1]*a[4,2]-a[1,1]*a[1,3]*a[2,4]*a[3,1]*a[4,2]*a[4,3]+a[1,1 ]*a[1,3]*a[2,4]*a[3,2]*a[4,1]*a[4,3]-a[1,1]*a[1,4]*a[2,1]*a[2,2]*a[4,2]*a[4,3]+ a[1,1]*a[1,4]*a[2,1]*a[2,3]*a[4,2]^2-a[1,1]*a[1,4]*a[2,1]*a[3,2]*a[4,3]^2+a[1,1 ]*a[1,4]*a[2,1]*a[3,3]*a[4,2]*a[4,3]+a[1,2]^2*a[2,1]*a[2,3]*a[3,1]*a[4,3]-a[1,2 ]^2*a[2,1]*a[2,3]*a[3,3]*a[4,1]+a[1,2]^2*a[2,1]*a[2,3]*a[4,1]*a[4,4]-a[1,2]^2*a [2,1]*a[2,4]*a[4,1]*a[4,3]-a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[3,1]*a[4,3]+a[1,2]*a[1 ,3]*a[2,1]*a[2,2]*a[3,3]*a[4,1]-a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[4,1]*a[4,4]-a[1,2 ]*a[1,3]*a[2,1]*a[2,3]*a[3,1]*a[4,2]+a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,2]*a[4,1]+ a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[4,1]*a[4,2]+a[1,2]*a[1,3]*a[2,1]*a[3,1]*a[3,3]*a[ 4,3]-a[1,2]*a[1,3]*a[2,1]*a[3,3]^2*a[4,1]+a[1,2]*a[1,3]*a[2,1]*a[3,3]*a[4,1]*a[ 4,4]-a[1,2]*a[1,3]*a[2,1]*a[3,4]*a[4,1]*a[4,3]-a[1,2]*a[1,3]*a[2,3]*a[3,1]^2*a[ 4,3]+a[1,2]*a[1,3]*a[2,3]*a[3,1]*a[3,3]*a[4,1]-a[1,2]*a[1,3]*a[2,3]*a[3,1]*a[4, 1]*a[4,4]+a[1,2]*a[1,3]*a[2,3]*a[3,4]*a[4,1]^2+a[1,2]*a[1,4]*a[2,1]*a[2,2]*a[4, 1]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[4,1]*a[4,2]+a[1,2]*a[1,4]*a[2,1]*a[3,1] *a[4,3]^2-a[1,2]*a[1,4]*a[2,1]*a[3,3]*a[4,1]*a[4,3]+a[1,2]*a[2,1]*a[2,3]*a[3,2] *a[4,3]*a[4,4]-a[1,2]*a[2,1]*a[2,3]*a[3,3]*a[4,2]*a[4,4]+a[1,2]*a[2,1]*a[2,3]*a [3,4]*a[4,2]*a[4,3]+a[1,2]*a[2,1]*a[2,3]*a[4,2]*a[4,4]^2-a[1,2]*a[2,1]*a[2,4]*a [3,2]*a[4,3]^2-a[1,2]*a[2,1]*a[2,4]*a[4,2]*a[4,3]*a[4,4]-a[1,2]*a[2,3]^2*a[3,4] *a[4,1]*a[4,2]+a[1,2]*a[2,3]*a[2,4]*a[3,3]*a[4,1]*a[4,2]-a[1,2]*a[2,3]*a[2,4]*a [4,1]*a[4,2]*a[4,4]+a[1,2]*a[2,4]^2*a[4,1]*a[4,2]*a[4,3]+a[1,3]^2*a[2,1]*a[2,2] *a[3,1]*a[4,2]-a[1,3]^2*a[2,1]*a[2,2]*a[3,2]*a[4,1]-a[1,3]^2*a[2,1]*a[3,1]*a[3, 3]*a[4,2]+a[1,3]^2*a[2,1]*a[3,2]*a[3,3]*a[4,1]+a[1,3]^2*a[2,3]*a[3,1]^2*a[4,2]- a[1,3]^2*a[2,3]*a[3,1]*a[3,2]*a[4,1]+a[1,3]^2*a[2,4]*a[3,1]*a[4,1]*a[4,2]-a[1,3 ]^2*a[2,4]*a[3,2]*a[4,1]^2-a[1,3]*a[1,4]*a[2,1]*a[3,1]*a[4,2]*a[4,3]+a[1,3]*a[1 ,4]*a[2,1]*a[3,2]*a[4,1]*a[4,3]-a[1,3]*a[2,1]*a[2,2]*a[3,2]*a[4,3]*a[4,4]+a[1,3 ]*a[2,1]*a[2,2]*a[3,3]*a[4,2]*a[4,4]-a[1,3]*a[2,1]*a[2,2]*a[3,4]*a[4,2]*a[4,3]- a[1,3]*a[2,1]*a[2,2]*a[4,2]*a[4,4]^2+a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[4,2]*a[4,3]+ a[1,3]*a[2,1]*a[2,4]*a[4,2]^2*a[4,4]+a[1,3]*a[2,1]*a[3,2]*a[3,3]*a[4,3]*a[4,4]- a[1,3]*a[2,1]*a[3,2]*a[3,4]*a[4,3]^2-a[1,3]*a[2,1]*a[3,3]^2*a[4,2]*a[4,4]+a[1,3 ]*a[2,1]*a[3,3]*a[3,4]*a[4,2]*a[4,3]+a[1,3]*a[2,1]*a[3,3]*a[4,2]*a[4,4]^2-a[1,3 ]*a[2,1]*a[3,4]*a[4,2]*a[4,3]*a[4,4]+a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,1]*a[4,2]+ a[1,3]*a[2,2]*a[2,4]*a[3,1]*a[4,2]*a[4,3]-a[1,3]*a[2,2]*a[2,4]*a[3,3]*a[4,1]*a[ 4,2]+a[1,3]*a[2,2]*a[2,4]*a[4,1]*a[4,2]*a[4,4]-a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[4, 2]^2-a[1,3]*a[2,3]*a[3,1]*a[3,2]*a[4,3]*a[4,4]+a[1,3]*a[2,3]*a[3,1]*a[3,3]*a[4, 2]*a[4,4]-a[1,3]*a[2,3]*a[3,1]*a[4,2]*a[4,4]^2+a[1,3]*a[2,3]*a[3,2]*a[3,4]*a[4, 1]*a[4,3]-a[1,3]*a[2,3]*a[3,3]*a[3,4]*a[4,1]*a[4,2]+a[1,3]*a[2,3]*a[3,4]*a[4,1] *a[4,2]*a[4,4]-a[1,3]*a[2,4]^2*a[4,1]*a[4,2]^2+a[1,3]*a[2,4]*a[3,1]*a[3,2]*a[4, 3]^2-a[1,3]*a[2,4]*a[3,1]*a[3,3]*a[4,2]*a[4,3]+a[1,3]*a[2,4]*a[3,1]*a[4,2]*a[4, 3]*a[4,4]-a[1,3]*a[2,4]*a[3,2]*a[3,3]*a[4,1]*a[4,3]+a[1,3]*a[2,4]*a[3,3]^2*a[4, 1]*a[4,2]-a[1,3]*a[2,4]*a[3,3]*a[4,1]*a[4,2]*a[4,4]+a[1,4]*a[2,1]*a[2,2]*a[3,2] *a[4,3]^2+a[1,4]*a[2,1]*a[2,2]*a[4,2]*a[4,3]*a[4,4]-a[1,4]*a[2,1]*a[2,3]*a[3,2] *a[4,2]*a[4,3]-a[1,4]*a[2,1]*a[2,3]*a[4,2]^2*a[4,4]-a[1,4]*a[2,1]*a[3,3]*a[4,2] *a[4,3]*a[4,4]+a[1,4]*a[2,1]*a[3,4]*a[4,2]*a[4,3]^2-a[1,4]*a[2,2]*a[2,3]*a[3,1] *a[4,2]*a[4,3]-a[1,4]*a[2,2]*a[2,4]*a[4,1]*a[4,2]*a[4,3]+a[1,4]*a[2,3]^2*a[3,1] *a[4,2]^2+a[1,4]*a[2,3]*a[2,4]*a[4,1]*a[4,2]^2+a[1,4]*a[2,3]*a[3,1]*a[4,2]*a[4, 3]*a[4,4]-a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,2]*a[4,3]-a[1,4]*a[2,4]*a[3,1]*a[4,2] *a[4,3]^2+a[1,4]*a[2,4]*a[3,3]*a[4,1]*a[4,2]*a[4,3])*X[1,2]+(-a[1,1]*a[1,2]*a[2 ,3]*a[3,1]*a[3,2]*a[4,3]+a[1,1]*a[1,2]*a[2,3]*a[3,1]*a[3,3]*a[4,2]-a[1,1]*a[1,2 ]*a[2,3]*a[3,1]*a[4,2]*a[4,4]+a[1,1]*a[1,2]*a[2,3]*a[3,4]*a[4,1]*a[4,2]+a[1,1]* a[1,2]*a[2,4]*a[3,1]*a[4,2]*a[4,3]-a[1,1]*a[1,2]*a[2,4]*a[3,2]*a[4,1]*a[4,3]+a[ 1,1]*a[1,3]*a[2,1]*a[3,2]^2*a[4,3]-a[1,1]*a[1,3]*a[2,1]*a[3,2]*a[3,3]*a[4,2]+a[ 1,1]*a[1,3]*a[2,1]*a[3,2]*a[4,2]*a[4,4]-a[1,1]*a[1,3]*a[2,1]*a[3,4]*a[4,2]^2+a[ 1,2]^2*a[2,3]*a[3,1]^2*a[4,3]-a[1,2]^2*a[2,3]*a[3,1]*a[3,3]*a[4,1]+a[1,2]^2*a[2 ,3]*a[3,1]*a[4,1]*a[4,4]-a[1,2]^2*a[2,3]*a[3,4]*a[4,1]^2-a[1,2]*a[1,3]*a[2,1]*a [3,1]*a[3,2]*a[4,3]+a[1,2]*a[1,3]*a[2,1]*a[3,2]*a[3,3]*a[4,1]-a[1,2]*a[1,3]*a[2 ,1]*a[3,2]*a[4,1]*a[4,4]+a[1,2]*a[1,3]*a[2,1]*a[3,4]*a[4,1]*a[4,2]-a[1,2]*a[1,3 ]*a[2,3]*a[3,1]^2*a[4,2]+a[1,2]*a[1,3]*a[2,3]*a[3,1]*a[3,2]*a[4,1]-a[1,2]*a[1,3 ]*a[2,4]*a[3,1]*a[4,1]*a[4,2]+a[1,2]*a[1,3]*a[2,4]*a[3,2]*a[4,1]^2-a[1,2]*a[1,4 ]*a[2,1]*a[3,1]*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[2,1]*a[3,2]*a[4,1]*a[4,3]+a[1,2]* a[2,3]*a[3,1]*a[3,2]*a[4,3]*a[4,4]-a[1,2]*a[2,3]*a[3,1]*a[3,3]*a[4,2]*a[4,4]+a[ 1,2]*a[2,3]*a[3,1]*a[3,4]*a[4,2]*a[4,3]+a[1,2]*a[2,3]*a[3,1]*a[4,2]*a[4,4]^2-a[ 1,2]*a[2,3]*a[3,2]*a[3,4]*a[4,1]*a[4,3]-a[1,2]*a[2,3]*a[3,4]*a[4,1]*a[4,2]*a[4, 4]-a[1,2]*a[2,4]*a[3,1]*a[3,2]*a[4,3]^2-a[1,2]*a[2,4]*a[3,1]*a[4,2]*a[4,3]*a[4, 4]+a[1,2]*a[2,4]*a[3,2]*a[3,3]*a[4,1]*a[4,3]+a[1,2]*a[2,4]*a[3,4]*a[4,1]*a[4,2] *a[4,3]+a[1,3]^2*a[2,1]*a[3,1]*a[3,2]*a[4,2]-a[1,3]^2*a[2,1]*a[3,2]^2*a[4,1]+a[ 1,3]*a[1,4]*a[2,1]*a[3,1]*a[4,2]^2-a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[4,1]*a[4,2]-a[ 1,3]*a[2,1]*a[3,2]^2*a[4,3]*a[4,4]+a[1,3]*a[2,1]*a[3,2]*a[3,3]*a[4,2]*a[4,4]-a[ 1,3]*a[2,1]*a[3,2]*a[4,2]*a[4,4]^2+a[1,3]*a[2,1]*a[3,4]*a[4,2]^2*a[4,4]-a[1,3]* a[2,3]*a[3,1]*a[3,4]*a[4,2]^2+a[1,3]*a[2,3]*a[3,2]*a[3,4]*a[4,1]*a[4,2]+a[1,3]* a[2,4]*a[3,1]*a[3,2]*a[4,2]*a[4,3]-a[1,3]*a[2,4]*a[3,2]*a[3,3]*a[4,1]*a[4,2]+a[ 1,3]*a[2,4]*a[3,2]*a[4,1]*a[4,2]*a[4,4]-a[1,3]*a[2,4]*a[3,4]*a[4,1]*a[4,2]^2+a[ 1,4]*a[2,1]*a[3,2]^2*a[4,3]^2-a[1,4]*a[2,1]*a[3,2]*a[3,3]*a[4,2]*a[4,3]+a[1,4]* a[2,1]*a[3,2]*a[4,2]*a[4,3]*a[4,4]-a[1,4]*a[2,1]*a[3,4]*a[4,2]^2*a[4,3]-a[1,4]* a[2,3]*a[3,1]*a[3,2]*a[4,2]*a[4,3]+a[1,4]*a[2,3]*a[3,1]*a[3,3]*a[4,2]^2-a[1,4]* a[2,3]*a[3,1]*a[4,2]^2*a[4,4]+a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,2]^2+a[1,4]*a[2,4 ]*a[3,1]*a[4,2]^2*a[4,3]-a[1,4]*a[2,4]*a[3,2]*a[4,1]*a[4,2]*a[4,3])*X[1,3]+(a[1 ,1]*a[1,2]^2*a[2,3]*a[3,2]*a[4,3]-a[1,1]*a[1,2]^2*a[2,3]*a[3,3]*a[4,2]+a[1,1]*a [1,2]^2*a[2,3]*a[4,2]*a[4,4]-a[1,1]*a[1,2]^2*a[2,4]*a[4,2]*a[4,3]-a[1,1]*a[1,2] *a[1,3]*a[2,2]*a[3,2]*a[4,3]+a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[3,3]*a[4,2]-a[1,1]*a [1,2]*a[1,3]*a[2,2]*a[4,2]*a[4,4]+a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[4,2]^2+a[1,1]*a [1,2]*a[1,3]*a[3,2]*a[3,3]*a[4,3]-a[1,1]*a[1,2]*a[1,3]*a[3,3]^2*a[4,2]+a[1,1]*a [1,2]*a[1,3]*a[3,3]*a[4,2]*a[4,4]-a[1,1]*a[1,2]*a[1,3]*a[3,4]*a[4,2]*a[4,3]+a[1 ,1]*a[1,2]*a[1,4]*a[2,2]*a[4,2]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[4,2]^2+a[1 ,1]*a[1,2]*a[1,4]*a[3,2]*a[4,3]^2-a[1,1]*a[1,2]*a[1,4]*a[3,3]*a[4,2]*a[4,3]-a[1 ,1]*a[1,3]^2*a[3,2]^2*a[4,3]+a[1,1]*a[1,3]^2*a[3,2]*a[3,3]*a[4,2]-a[1,1]*a[1,3] ^2*a[3,2]*a[4,2]*a[4,4]+a[1,1]*a[1,3]^2*a[3,4]*a[4,2]^2-a[1,2]^3*a[2,3]*a[3,1]* a[4,3]+a[1,2]^3*a[2,3]*a[3,3]*a[4,1]-a[1,2]^3*a[2,3]*a[4,1]*a[4,4]+a[1,2]^3*a[2 ,4]*a[4,1]*a[4,3]+a[1,2]^2*a[1,3]*a[2,2]*a[3,1]*a[4,3]-a[1,2]^2*a[1,3]*a[2,2]*a [3,3]*a[4,1]+a[1,2]^2*a[1,3]*a[2,2]*a[4,1]*a[4,4]+a[1,2]^2*a[1,3]*a[2,3]*a[3,1] *a[4,2]-a[1,2]^2*a[1,3]*a[2,3]*a[3,2]*a[4,1]-a[1,2]^2*a[1,3]*a[2,4]*a[4,1]*a[4, 2]-a[1,2]^2*a[1,3]*a[3,1]*a[3,3]*a[4,3]+a[1,2]^2*a[1,3]*a[3,3]^2*a[4,1]-a[1,2]^ 2*a[1,3]*a[3,3]*a[4,1]*a[4,4]+a[1,2]^2*a[1,3]*a[3,4]*a[4,1]*a[4,3]-a[1,2]^2*a[1 ,4]*a[2,2]*a[4,1]*a[4,3]+a[1,2]^2*a[1,4]*a[2,3]*a[4,1]*a[4,2]-a[1,2]^2*a[1,4]*a [3,1]*a[4,3]^2+a[1,2]^2*a[1,4]*a[3,3]*a[4,1]*a[4,3]-a[1,2]^2*a[2,3]*a[3,2]*a[4, 3]*a[4,4]+a[1,2]^2*a[2,3]*a[3,3]*a[4,2]*a[4,4]-a[1,2]^2*a[2,3]*a[3,4]*a[4,2]*a[ 4,3]-a[1,2]^2*a[2,3]*a[4,2]*a[4,4]^2+a[1,2]^2*a[2,4]*a[3,2]*a[4,3]^2+a[1,2]^2*a [2,4]*a[4,2]*a[4,3]*a[4,4]-a[1,2]*a[1,3]^2*a[2,2]*a[3,1]*a[4,2]+a[1,2]*a[1,3]^2 *a[2,2]*a[3,2]*a[4,1]+a[1,2]*a[1,3]^2*a[3,1]*a[3,2]*a[4,3]+a[1,2]*a[1,3]^2*a[3, 1]*a[3,3]*a[4,2]-2*a[1,2]*a[1,3]^2*a[3,2]*a[3,3]*a[4,1]+a[1,2]*a[1,3]^2*a[3,2]* a[4,1]*a[4,4]-a[1,2]*a[1,3]^2*a[3,4]*a[4,1]*a[4,2]+2*a[1,2]*a[1,3]*a[1,4]*a[3,1 ]*a[4,2]*a[4,3]-2*a[1,2]*a[1,3]*a[1,4]*a[3,2]*a[4,1]*a[4,3]+a[1,2]*a[1,3]*a[2,2 ]*a[3,2]*a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[2,2]*a[3,3]*a[4,2]*a[4,4]+a[1,2]*a[1,3]* a[2,2]*a[3,4]*a[4,2]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[4,2]*a[4,4]^2+a[1,2]*a[1,3]* a[2,3]*a[3,4]*a[4,2]^2-2*a[1,2]*a[1,3]*a[2,4]*a[3,2]*a[4,2]*a[4,3]-a[1,2]*a[1,3 ]*a[2,4]*a[4,2]^2*a[4,4]-a[1,2]*a[1,3]*a[3,2]*a[3,3]*a[4,3]*a[4,4]+a[1,2]*a[1,3 ]*a[3,2]*a[3,4]*a[4,3]^2+a[1,2]*a[1,3]*a[3,3]^2*a[4,2]*a[4,4]-a[1,2]*a[1,3]*a[3 ,3]*a[3,4]*a[4,2]*a[4,3]-a[1,2]*a[1,3]*a[3,3]*a[4,2]*a[4,4]^2+a[1,2]*a[1,3]*a[3 ,4]*a[4,2]*a[4,3]*a[4,4]-a[1,2]*a[1,4]*a[2,2]*a[3,2]*a[4,3]^2-a[1,2]*a[1,4]*a[2 ,2]*a[4,2]*a[4,3]*a[4,4]+2*a[1,2]*a[1,4]*a[2,3]*a[3,2]*a[4,2]*a[4,3]-a[1,2]*a[1 ,4]*a[2,3]*a[3,3]*a[4,2]^2+2*a[1,2]*a[1,4]*a[2,3]*a[4,2]^2*a[4,4]-a[1,2]*a[1,4] *a[2,4]*a[4,2]^2*a[4,3]+a[1,2]*a[1,4]*a[3,3]*a[4,2]*a[4,3]*a[4,4]-a[1,2]*a[1,4] *a[3,4]*a[4,2]*a[4,3]^2-a[1,3]^3*a[3,1]*a[3,2]*a[4,2]+a[1,3]^3*a[3,2]^2*a[4,1]- a[1,3]^2*a[1,4]*a[3,1]*a[4,2]^2+a[1,3]^2*a[1,4]*a[3,2]*a[4,1]*a[4,2]-a[1,3]^2*a [2,2]*a[3,4]*a[4,2]^2+a[1,3]^2*a[2,4]*a[3,2]*a[4,2]^2+a[1,3]^2*a[3,2]^2*a[4,3]* a[4,4]-a[1,3]^2*a[3,2]*a[3,3]*a[4,2]*a[4,4]-a[1,3]^2*a[3,2]*a[3,4]*a[4,2]*a[4,3 ]+a[1,3]^2*a[3,2]*a[4,2]*a[4,4]^2+a[1,3]^2*a[3,3]*a[3,4]*a[4,2]^2-a[1,3]^2*a[3, 4]*a[4,2]^2*a[4,4]+a[1,3]*a[1,4]*a[2,2]*a[3,3]*a[4,2]^2-a[1,3]*a[1,4]*a[2,2]*a[ 4,2]^2*a[4,4]-a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,2]^2+a[1,3]*a[1,4]*a[2,4]*a[4,2]^ 3-a[1,3]*a[1,4]*a[3,2]^2*a[4,3]^2+2*a[1,3]*a[1,4]*a[3,2]*a[3,3]*a[4,2]*a[4,3]-2 *a[1,3]*a[1,4]*a[3,2]*a[4,2]*a[4,3]*a[4,4]-a[1,3]*a[1,4]*a[3,3]^2*a[4,2]^2+a[1, 3]*a[1,4]*a[3,3]*a[4,2]^2*a[4,4]+a[1,3]*a[1,4]*a[3,4]*a[4,2]^2*a[4,3]+a[1,4]^2* a[2,2]*a[4,2]^2*a[4,3]-a[1,4]^2*a[2,3]*a[4,2]^3+a[1,4]^2*a[3,2]*a[4,2]*a[4,3]^2 -a[1,4]^2*a[3,3]*a[4,2]^2*a[4,3])*X[2,1]+X[4,2]*(a[1,2]^2*a[2,3]^2*a[3,4]*a[4,1 ]-a[1,2]^2*a[2,3]*a[2,4]*a[3,3]*a[4,1]+a[1,2]^2*a[2,3]*a[2,4]*a[4,1]*a[4,4]-a[1 ,2]^2*a[2,4]^2*a[4,1]*a[4,3]-a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,4]*a[4,2]+a[1,2]*a [1,3]*a[2,1]*a[2,4]*a[3,2]*a[4,3]-a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,1]-a[1 ,2]*a[1,3]*a[2,2]*a[2,4]*a[3,1]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,3]*a[4,1 ]-a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,1]*a[4,4]+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,1]* a[4,2]-a[1,2]*a[1,3]*a[2,3]*a[3,1]*a[3,4]*a[4,3]+a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[ 3,4]*a[4,1]+a[1,2]*a[1,3]*a[2,4]^2*a[4,1]*a[4,2]+a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[ 3,3]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[3,3]^2*a[4,1]+a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[ 4,1]*a[4,4]-a[1,2]*a[1,3]*a[2,4]*a[3,4]*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[2, 3]*a[3,2]*a[4,3]+a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,3]*a[4,2]-a[1,2]*a[1,4]*a[2,1] *a[2,3]*a[4,2]*a[4,4]+a[1,2]*a[1,4]*a[2,1]*a[2,4]*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a [2,2]*a[2,3]*a[3,1]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,4]*a[4,1]*a[4,3]-a[1,2]*a[1 ,4]*a[2,3]^2*a[3,1]*a[4,2]-a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[4,1]*a[4,2]-a[1,2]*a[1 ,4]*a[2,3]*a[3,1]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,3]+a[1,2 ]*a[1,4]*a[2,4]*a[3,1]*a[4,3]^2-a[1,2]*a[1,4]*a[2,4]*a[3,3]*a[4,1]*a[4,3]+a[1,3 ]^2*a[2,1]*a[2,2]*a[3,4]*a[4,2]-a[1,3]^2*a[2,1]*a[2,4]*a[3,2]*a[4,2]+a[1,3]^2*a [2,1]*a[3,2]*a[3,4]*a[4,3]-a[1,3]^2*a[2,1]*a[3,3]*a[3,4]*a[4,2]+a[1,3]^2*a[2,3] *a[3,1]*a[3,4]*a[4,2]-a[1,3]^2*a[2,3]*a[3,2]*a[3,4]*a[4,1]-a[1,3]^2*a[2,4]*a[3, 1]*a[3,2]*a[4,3]+a[1,3]^2*a[2,4]*a[3,2]*a[3,3]*a[4,1]-a[1,3]^2*a[2,4]*a[3,2]*a[ 4,1]*a[4,4]+a[1,3]^2*a[2,4]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[ 3,3]*a[4,2]+a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,1]*a[2, 3]*a[3,2]*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[4,2]^2-a[1,3]*a[1,4]*a[2,1]*a[3, 2]*a[3,3]*a[4,3]+a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[4,3]*a[4,4]+a[1,3]*a[1,4]*a[2,1] *a[3,3]^2*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,3] *a[3,1]*a[3,2]*a[4,3]-a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,3]*a[4,2]+a[1,3]*a[1,4]*a [2,3]*a[3,1]*a[4,2]*a[4,4]-a[1,3]*a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[1 ,4]*a[2,4]*a[3,1]*a[4,2]*a[4,3]+a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,1]*a[4,3]-a[1,4 ]^2*a[2,1]*a[2,2]*a[4,2]*a[4,3]+a[1,4]^2*a[2,1]*a[2,3]*a[4,2]^2-a[1,4]^2*a[2,1] *a[3,2]*a[4,3]^2+a[1,4]^2*a[2,1]*a[3,3]*a[4,2]*a[4,3]) = 0 ------------------------------------ Theorem number, 10, : let, {X[1, 2], X[1, 3], X[2, 1], X[4, 3]}, be the entri\ es of an ARBITRARY power of the general matrix M, we always have the lin\ ear relation X[1, 2] (a[1, 1] a[1, 2] a[2, 1] a[2, 2] a[2, 3] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[4, 2] - a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[4, 3] a[4, 4] 2 + a[1, 1] a[1, 2] a[2, 1] a[2, 4] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 1] a[2, 2] a[4, 3] + a[1, 1] a[1, 3] a[2, 1] a[2, 2] a[2, 3] a[4, 2] + a[1, 1] a[1, 3] a[2, 1] a[2, 2] a[3, 3] a[4, 3] + a[1, 1] a[1, 3] a[2, 1] a[2, 2] a[4, 3] a[4, 4] - a[1, 1] a[1, 3] a[2, 1] a[2, 3] a[3, 3] a[4, 2] - a[1, 1] a[1, 3] a[2, 1] a[2, 4] a[4, 2] a[4, 3] - a[1, 1] a[1, 3] a[2, 1] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 1] a[1, 3] a[2, 1] a[3, 4] a[4, 3] - a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[4, 3] - a[1, 1] a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 3] a[3, 1] a[4, 2] + a[1, 1] a[1, 3] a[2, 3] a[2, 4] a[4, 1] a[4, 2] + a[1, 1] a[1, 3] a[2, 3] a[3, 1] a[4, 3] a[4, 4] - a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 1] a[4, 3] + a[1, 1] a[1, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 3] 2 2 2 2 - a[1, 2] a[2, 1] a[2, 3] a[4, 3] + a[1, 2] a[2, 1] a[2, 3] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 3] - 2 a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[2, 3] a[4, 1] + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[4, 1] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 1] 2 2 - a[1, 2] a[1, 4] a[2, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 1] a[4, 3] - a[1, 2] a[2, 1] a[2, 2] a[2, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 1] a[2, 2] a[2, 4] a[4, 3] 2 + a[1, 2] a[2, 1] a[2, 3] a[4, 2] a[4, 4] - a[1, 2] a[2, 1] a[2, 3] a[2, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 3] 2 + a[1, 2] a[2, 1] a[2, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 1] a[2, 4] a[3, 3] a[4, 3] 2 - a[1, 2] a[2, 1] a[2, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] + a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 3] - a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 3] a[4, 4] 2 2 2 2 + a[1, 2] a[2, 4] a[4, 1] a[4, 3] - a[1, 3] a[2, 1] a[2, 2] a[4, 2] 2 2 2 2 + a[1, 3] a[2, 1] a[3, 3] a[4, 2] + a[1, 3] a[2, 1] a[2, 2] a[4, 1] 2 - a[1, 3] a[2, 1] a[2, 2] a[3, 3] a[4, 1] 2 - a[1, 3] a[2, 1] a[2, 2] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 1] a[2, 3] a[3, 1] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 3] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[4, 1] 2 2 + a[1, 3] a[2, 2] a[2, 4] a[4, 1] 2 - a[1, 3] a[2, 3] a[3, 1] a[4, 1] a[4, 4] 2 2 + a[1, 3] a[2, 3] a[3, 4] a[4, 1] 2 + a[1, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 3] 2 2 - a[1, 3] a[2, 4] a[3, 3] a[4, 1] 2 + a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[4, 1] a[4, 2] 2 + a[1, 3] a[2, 1] a[2, 2] a[4, 3] a[4, 4] - a[1, 3] a[2, 1] a[2, 2] a[2, 3] a[4, 2] a[4, 4] - a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[4, 2] a[4, 3] - a[1, 3] a[2, 1] a[2, 2] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 3] a[2, 1] a[2, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 1] a[2, 3] a[2, 4] a[4, 2] + a[1, 3] a[2, 1] a[2, 3] a[3, 3] a[4, 2] a[4, 4] - a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 2] a[4, 3] + a[1, 3] a[2, 1] a[2, 4] a[3, 3] a[4, 2] a[4, 3] + a[1, 3] a[2, 1] a[2, 4] a[4, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 1] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 3] a[4, 4] + a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 3] a[4, 4] 2 - a[1, 3] a[2, 3] a[3, 1] a[4, 2] a[4, 4] 2 + a[1, 3] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[2, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 3] a[2, 3] a[3, 4] a[4, 1] a[4, 3] a[4, 4] 2 - a[1, 3] a[2, 4] a[4, 1] a[4, 2] a[4, 3] 2 + a[1, 3] a[2, 4] a[3, 1] a[4, 3] a[4, 4] - a[1, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 3] a[4, 4] 2 2 - a[1, 4] a[2, 1] a[2, 2] a[4, 3] + 2 a[1, 4] a[2, 1] a[2, 2] a[2, 3] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[2, 2] a[3, 3] a[4, 3] 2 + a[1, 4] a[2, 1] a[2, 2] a[4, 3] a[4, 4] 2 2 - a[1, 4] a[2, 1] a[2, 3] a[4, 2] - a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 2] a[4, 3] - a[1, 4] a[2, 1] a[2, 3] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 4] a[2, 1] a[3, 3] a[4, 3] a[4, 4] 3 + a[1, 4] a[2, 1] a[3, 4] a[4, 3] 2 - a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 3] 2 - a[1, 4] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 3] + a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 1] a[4, 3] a[4, 4] 2 - a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 3 - a[1, 4] a[2, 4] a[3, 1] a[4, 3] 2 + a[1, 4] a[2, 4] a[3, 3] a[4, 1] a[4, 3] ) + X[1, 3] ( a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[4, 3] + a[1, 1] a[1, 2] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[4, 2] - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 2] - a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 1] a[1, 2] a[2, 4] a[3, 1] a[4, 3] - a[1, 1] a[1, 2] a[2, 4] a[3, 3] a[4, 1] a[4, 3] - a[1, 1] a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[4, 3] + a[1, 1] a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 2] + a[1, 1] a[1, 3] a[2, 1] a[3, 2] a[4, 3] a[4, 4] - a[1, 1] a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 3] - a[1, 1] a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 3] 2 + a[1, 1] a[1, 4] a[2, 1] a[2, 3] a[4, 2] 2 - a[1, 1] a[1, 4] a[2, 1] a[3, 2] a[4, 3] + a[1, 1] a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 3] 2 - a[1, 2] a[2, 1] a[2, 3] a[3, 1] a[4, 3] 2 - a[1, 2] a[2, 1] a[2, 4] a[4, 1] a[4, 3] 2 2 2 2 + a[1, 2] a[2, 3] a[3, 1] a[4, 1] + a[1, 2] a[2, 3] a[2, 4] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 1] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] + a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[4, 1] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] 2 + a[1, 2] a[1, 4] a[2, 1] a[4, 2] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 1] a[4, 2] - a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 2] a[2, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[2, 2] a[2, 4] a[3, 3] a[4, 1] a[4, 3] 2 + a[1, 2] a[2, 3] a[3, 1] a[4, 2] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 2] 2 + a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] 2 + a[1, 2] a[2, 3] a[3, 1] a[4, 3] a[4, 4] - a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 3] - a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 3] 2 - a[1, 2] a[2, 4] a[3, 1] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 3] a[4, 1] a[4, 3] 2 + a[1, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 3] 2 2 - a[1, 3] a[2, 1] a[3, 2] a[4, 2] 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[4, 1] 2 - a[1, 3] a[2, 1] a[3, 2] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 2] 2 2 - a[1, 3] a[1, 4] a[2, 1] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 1] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 1] a[4, 3] - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 1] a[4, 2] + a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[4, 3] a[4, 4] - a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 2] a[4, 3] - a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 2] a[4, 4] 2 + a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 2] a[4, 3] + a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 3] a[4, 4] - a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 3] + a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] a[4, 3] + a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 3] a[4, 4] - a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 2] a[3, 2] a[4, 3] + a[1, 4] a[2, 1] a[2, 2] a[3, 3] a[4, 2] a[4, 3] + a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 2] 2 + a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 3] 2 + a[1, 4] a[2, 1] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] + a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] a[4, 3] - a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 3] a[4, 4] + a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3] ) + ( 2 -a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[4, 3] 2 2 + a[1, 1] a[1, 2] a[2, 3] a[4, 2] 2 + a[1, 1] a[1, 2] a[2, 3] a[4, 3] a[4, 4] 2 2 - a[1, 1] a[1, 2] a[2, 4] a[4, 3] 2 + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[4, 2] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[4, 3] a[4, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 1] a[1, 2] a[1, 3] a[3, 4] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 2] a[3, 2] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[4, 2] 2 - a[1, 1] a[1, 3] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 1] a[1, 3] a[3, 4] a[4, 2] a[4, 3] + a[1, 1] a[1, 3] a[1, 4] a[2, 2] a[4, 2] a[4, 3] 2 - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[4, 2] 2 + a[1, 1] a[1, 3] a[1, 4] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[1, 4] a[3, 3] a[4, 2] a[4, 3] 3 3 2 + a[1, 2] a[2, 1] a[2, 3] a[4, 3] - a[1, 2] a[2, 3] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 3] 2 + 2 a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 3] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 3] 2 2 + a[1, 2] a[1, 4] a[2, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 3] 2 + a[1, 2] a[2, 2] a[2, 3] a[4, 3] a[4, 4] 2 2 2 2 - a[1, 2] a[2, 2] a[2, 4] a[4, 3] - a[1, 2] a[2, 3] a[4, 2] a[4, 4] 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 3] - a[1, 2] a[2, 3] a[4, 3] a[4, 4] 2 2 2 2 + a[1, 2] a[2, 4] a[3, 3] a[4, 3] + a[1, 2] a[2, 4] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 2] 2 2 - a[1, 2] a[1, 3] a[2, 2] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 2] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 2] 2 - a[1, 2] a[1, 3] a[3, 3] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[3, 4] a[4, 1] a[4, 3] - 2 a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 3] + 2 a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[4, 1] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 2] a[4, 3] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 2] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 2] - a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[4, 2] a[4, 4] + 2 a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[3, 4] a[4, 3] a[4, 4] 2 2 + a[1, 2] a[1, 4] a[2, 2] a[4, 3] - 2 a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 2] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 2] a[4, 3] a[4, 4] 2 2 + a[1, 2] a[1, 4] a[2, 3] a[4, 2] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 3] + 2 a[1, 2] a[1, 4] a[2, 3] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[3, 3] a[4, 3] a[4, 4] 3 3 - a[1, 2] a[1, 4] a[3, 4] a[4, 3] + a[1, 3] a[2, 1] a[3, 2] a[4, 2] 3 3 - a[1, 3] a[2, 2] a[3, 2] a[4, 1] + a[1, 3] a[3, 2] a[4, 1] a[4, 4] 3 2 2 - a[1, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 2] a[4, 1] a[4, 2] 2 - a[1, 3] a[1, 4] a[3, 2] a[4, 1] a[4, 3] 2 + a[1, 3] a[1, 4] a[3, 3] a[4, 1] a[4, 2] 2 - a[1, 3] a[2, 2] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 3] a[3, 2] a[4, 2] a[4, 4] 2 2 - a[1, 3] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 2] a[4, 3] 2 2 + a[1, 3] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[3, 4] a[4, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 2] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 2] a[4, 2] a[4, 3] a[4, 4] - 2 a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 4] a[4, 2] a[4, 3] 2 - 2 a[1, 3] a[1, 4] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[1, 4] a[3, 3] a[4, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[1, 4] a[3, 4] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 4] a[2, 2] a[4, 2] a[4, 3] - a[1, 4] a[2, 3] a[4, 2] a[4, 3] 2 3 2 2 + a[1, 4] a[3, 2] a[4, 3] - a[1, 4] a[3, 3] a[4, 2] a[4, 3] ) X[2, 1] 2 2 + X[4, 3] (a[1, 2] a[2, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 4] 2 2 - a[1, 2] a[2, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 3] + a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 2] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 1] a[4, 3] 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 3] + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 4] a[2, 1] a[2, 3] a[4, 2] - a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 3]) = 0 in Maple notation X[1,2]*(a[1,1]*a[1,2]*a[2,1]*a[2,2]*a[2,3]*a[4,3]-a[1,1]*a[1,2]*a[2,1]*a[2,3]^2 *a[4,2]-a[1,1]*a[1,2]*a[2,1]*a[2,3]*a[4,3]*a[4,4]+a[1,1]*a[1,2]*a[2,1]*a[2,4]*a [4,3]^2-a[1,1]*a[1,3]*a[2,1]*a[2,2]^2*a[4,3]+a[1,1]*a[1,3]*a[2,1]*a[2,2]*a[2,3] *a[4,2]+a[1,1]*a[1,3]*a[2,1]*a[2,2]*a[3,3]*a[4,3]+a[1,1]*a[1,3]*a[2,1]*a[2,2]*a [4,3]*a[4,4]-a[1,1]*a[1,3]*a[2,1]*a[2,3]*a[3,3]*a[4,2]-a[1,1]*a[1,3]*a[2,1]*a[2 ,4]*a[4,2]*a[4,3]-a[1,1]*a[1,3]*a[2,1]*a[3,3]*a[4,3]*a[4,4]+a[1,1]*a[1,3]*a[2,1 ]*a[3,4]*a[4,3]^2-a[1,1]*a[1,3]*a[2,2]*a[2,3]*a[3,1]*a[4,3]-a[1,1]*a[1,3]*a[2,2 ]*a[2,4]*a[4,1]*a[4,3]+a[1,1]*a[1,3]*a[2,3]^2*a[3,1]*a[4,2]+a[1,1]*a[1,3]*a[2,3 ]*a[2,4]*a[4,1]*a[4,2]+a[1,1]*a[1,3]*a[2,3]*a[3,1]*a[4,3]*a[4,4]-a[1,1]*a[1,3]* a[2,3]*a[3,4]*a[4,1]*a[4,3]-a[1,1]*a[1,3]*a[2,4]*a[3,1]*a[4,3]^2+a[1,1]*a[1,3]* a[2,4]*a[3,3]*a[4,1]*a[4,3]-a[1,2]^2*a[2,1]^2*a[2,3]*a[4,3]+a[1,2]^2*a[2,1]*a[2 ,3]^2*a[4,1]+a[1,2]*a[1,3]*a[2,1]^2*a[2,2]*a[4,3]+a[1,2]*a[1,3]*a[2,1]^2*a[2,3] *a[4,2]-a[1,2]*a[1,3]*a[2,1]^2*a[3,3]*a[4,3]-2*a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[2, 3]*a[4,1]+a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,1]*a[4,3]+a[1,2]*a[1,3]*a[2,1]*a[2,3] *a[3,3]*a[4,1]+a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[4,1]*a[4,4]-a[1,2]*a[1,3]*a[2,3]^2 *a[3,1]*a[4,1]-a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[4,1]^2-a[1,2]*a[1,4]*a[2,1]^2*a[4, 3]^2+a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[4,1]*a[4,3]-a[1,2]*a[2,1]*a[2,2]*a[2,3]*a[4, 3]*a[4,4]+a[1,2]*a[2,1]*a[2,2]*a[2,4]*a[4,3]^2+a[1,2]*a[2,1]*a[2,3]^2*a[4,2]*a[ 4,4]-a[1,2]*a[2,1]*a[2,3]*a[2,4]*a[4,2]*a[4,3]+a[1,2]*a[2,1]*a[2,3]*a[3,4]*a[4, 3]^2+a[1,2]*a[2,1]*a[2,3]*a[4,3]*a[4,4]^2-a[1,2]*a[2,1]*a[2,4]*a[3,3]*a[4,3]^2- a[1,2]*a[2,1]*a[2,4]*a[4,3]^2*a[4,4]-a[1,2]*a[2,3]^2*a[3,4]*a[4,1]*a[4,3]+a[1,2 ]*a[2,3]*a[2,4]*a[3,3]*a[4,1]*a[4,3]-a[1,2]*a[2,3]*a[2,4]*a[4,1]*a[4,3]*a[4,4]+ a[1,2]*a[2,4]^2*a[4,1]*a[4,3]^2-a[1,3]^2*a[2,1]^2*a[2,2]*a[4,2]+a[1,3]^2*a[2,1] ^2*a[3,3]*a[4,2]+a[1,3]^2*a[2,1]*a[2,2]^2*a[4,1]-a[1,3]^2*a[2,1]*a[2,2]*a[3,3]* a[4,1]-a[1,3]^2*a[2,1]*a[2,2]*a[4,1]*a[4,4]-a[1,3]^2*a[2,1]*a[2,3]*a[3,1]*a[4,2 ]+a[1,3]^2*a[2,1]*a[3,3]*a[4,1]*a[4,4]-a[1,3]^2*a[2,1]*a[3,4]*a[4,1]*a[4,3]+a[1 ,3]^2*a[2,2]*a[2,3]*a[3,1]*a[4,1]+a[1,3]^2*a[2,2]*a[2,4]*a[4,1]^2-a[1,3]^2*a[2, 3]*a[3,1]*a[4,1]*a[4,4]+a[1,3]^2*a[2,3]*a[3,4]*a[4,1]^2+a[1,3]^2*a[2,4]*a[3,1]* a[4,1]*a[4,3]-a[1,3]^2*a[2,4]*a[3,3]*a[4,1]^2+a[1,3]*a[1,4]*a[2,1]^2*a[4,2]*a[4 ,3]-a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[4,1]*a[4,2]+a[1,3]*a[2,1]*a[2,2]^2*a[4,3]*a[4 ,4]-a[1,3]*a[2,1]*a[2,2]*a[2,3]*a[4,2]*a[4,4]-a[1,3]*a[2,1]*a[2,2]*a[2,4]*a[4,2 ]*a[4,3]-a[1,3]*a[2,1]*a[2,2]*a[3,3]*a[4,3]*a[4,4]-a[1,3]*a[2,1]*a[2,2]*a[4,3]* a[4,4]^2+a[1,3]*a[2,1]*a[2,3]*a[2,4]*a[4,2]^2+a[1,3]*a[2,1]*a[2,3]*a[3,3]*a[4,2 ]*a[4,4]-a[1,3]*a[2,1]*a[2,3]*a[3,4]*a[4,2]*a[4,3]+a[1,3]*a[2,1]*a[2,4]*a[3,3]* a[4,2]*a[4,3]+a[1,3]*a[2,1]*a[2,4]*a[4,2]*a[4,3]*a[4,4]+a[1,3]*a[2,1]*a[3,3]*a[ 4,3]*a[4,4]^2-a[1,3]*a[2,1]*a[3,4]*a[4,3]^2*a[4,4]+a[1,3]*a[2,2]*a[2,3]*a[3,1]* a[4,3]*a[4,4]+a[1,3]*a[2,2]*a[2,4]*a[4,1]*a[4,3]*a[4,4]-a[1,3]*a[2,3]^2*a[3,1]* a[4,2]*a[4,4]+a[1,3]*a[2,3]^2*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[2,3]*a[2,4]*a[3,3]* a[4,1]*a[4,2]-a[1,3]*a[2,3]*a[3,1]*a[4,3]*a[4,4]^2+a[1,3]*a[2,3]*a[3,4]*a[4,1]* a[4,3]*a[4,4]-a[1,3]*a[2,4]^2*a[4,1]*a[4,2]*a[4,3]+a[1,3]*a[2,4]*a[3,1]*a[4,3]^ 2*a[4,4]-a[1,3]*a[2,4]*a[3,3]*a[4,1]*a[4,3]*a[4,4]-a[1,4]*a[2,1]*a[2,2]^2*a[4,3 ]^2+2*a[1,4]*a[2,1]*a[2,2]*a[2,3]*a[4,2]*a[4,3]+a[1,4]*a[2,1]*a[2,2]*a[3,3]*a[4 ,3]^2+a[1,4]*a[2,1]*a[2,2]*a[4,3]^2*a[4,4]-a[1,4]*a[2,1]*a[2,3]^2*a[4,2]^2-a[1, 4]*a[2,1]*a[2,3]*a[3,3]*a[4,2]*a[4,3]-a[1,4]*a[2,1]*a[2,3]*a[4,2]*a[4,3]*a[4,4] -a[1,4]*a[2,1]*a[3,3]*a[4,3]^2*a[4,4]+a[1,4]*a[2,1]*a[3,4]*a[4,3]^3-a[1,4]*a[2, 2]*a[2,3]*a[3,1]*a[4,3]^2-a[1,4]*a[2,2]*a[2,4]*a[4,1]*a[4,3]^2+a[1,4]*a[2,3]^2* a[3,1]*a[4,2]*a[4,3]+a[1,4]*a[2,3]*a[2,4]*a[4,1]*a[4,2]*a[4,3]+a[1,4]*a[2,3]*a[ 3,1]*a[4,3]^2*a[4,4]-a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,3]^2-a[1,4]*a[2,4]*a[3,1]* a[4,3]^3+a[1,4]*a[2,4]*a[3,3]*a[4,1]*a[4,3]^2)+X[1,3]*(a[1,1]*a[1,2]*a[2,2]*a[2 ,3]*a[3,1]*a[4,3]+a[1,1]*a[1,2]*a[2,2]*a[2,4]*a[4,1]*a[4,3]-a[1,1]*a[1,2]*a[2,3 ]^2*a[3,1]*a[4,2]-a[1,1]*a[1,2]*a[2,3]*a[2,4]*a[4,1]*a[4,2]-a[1,1]*a[1,2]*a[2,3 ]*a[3,1]*a[4,3]*a[4,4]+a[1,1]*a[1,2]*a[2,3]*a[3,4]*a[4,1]*a[4,3]+a[1,1]*a[1,2]* a[2,4]*a[3,1]*a[4,3]^2-a[1,1]*a[1,2]*a[2,4]*a[3,3]*a[4,1]*a[4,3]-a[1,1]*a[1,3]* a[2,1]*a[2,2]*a[3,2]*a[4,3]+a[1,1]*a[1,3]*a[2,1]*a[2,3]*a[3,2]*a[4,2]+a[1,1]*a[ 1,3]*a[2,1]*a[3,2]*a[4,3]*a[4,4]-a[1,1]*a[1,3]*a[2,1]*a[3,4]*a[4,2]*a[4,3]-a[1, 1]*a[1,4]*a[2,1]*a[2,2]*a[4,2]*a[4,3]+a[1,1]*a[1,4]*a[2,1]*a[2,3]*a[4,2]^2-a[1, 1]*a[1,4]*a[2,1]*a[3,2]*a[4,3]^2+a[1,1]*a[1,4]*a[2,1]*a[3,3]*a[4,2]*a[4,3]-a[1, 2]^2*a[2,1]*a[2,3]*a[3,1]*a[4,3]-a[1,2]^2*a[2,1]*a[2,4]*a[4,1]*a[4,3]+a[1,2]^2* a[2,3]^2*a[3,1]*a[4,1]+a[1,2]^2*a[2,3]*a[2,4]*a[4,1]^2+a[1,2]*a[1,3]*a[2,1]^2*a [3,2]*a[4,3]+a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,1]*a[4,2]-a[1,2]*a[1,3]*a[2,1]*a[2 ,3]*a[3,2]*a[4,1]+a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[4,1]*a[4,2]-a[1,2]*a[1,3]*a[2,2 ]*a[2,3]*a[3,1]*a[4,1]-a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,1]^2+a[1,2]*a[1,3]*a[2,3 ]*a[3,1]*a[4,1]*a[4,4]-a[1,2]*a[1,3]*a[2,3]*a[3,4]*a[4,1]^2-a[1,2]*a[1,3]*a[2,4 ]*a[3,1]*a[4,1]*a[4,3]+a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,1]^2+a[1,2]*a[1,4]*a[2,1 ]^2*a[4,2]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[4,1]*a[4,2]-a[1,2]*a[2,2]*a[2,3 ]*a[3,1]*a[4,3]*a[4,4]+a[1,2]*a[2,2]*a[2,3]*a[3,4]*a[4,1]*a[4,3]+a[1,2]*a[2,2]* a[2,4]*a[3,1]*a[4,3]^2-a[1,2]*a[2,2]*a[2,4]*a[3,3]*a[4,1]*a[4,3]+a[1,2]*a[2,3]^ 2*a[3,1]*a[4,2]*a[4,4]-a[1,2]*a[2,3]^2*a[3,4]*a[4,1]*a[4,2]-a[1,2]*a[2,3]*a[2,4 ]*a[3,1]*a[4,2]*a[4,3]+a[1,2]*a[2,3]*a[2,4]*a[3,3]*a[4,1]*a[4,2]+a[1,2]*a[2,3]* a[3,1]*a[3,4]*a[4,3]^2+a[1,2]*a[2,3]*a[3,1]*a[4,3]*a[4,4]^2-a[1,2]*a[2,3]*a[3,3 ]*a[3,4]*a[4,1]*a[4,3]-a[1,2]*a[2,3]*a[3,4]*a[4,1]*a[4,3]*a[4,4]-a[1,2]*a[2,4]* a[3,1]*a[3,3]*a[4,3]^2-a[1,2]*a[2,4]*a[3,1]*a[4,3]^2*a[4,4]+a[1,2]*a[2,4]*a[3,3 ]^2*a[4,1]*a[4,3]+a[1,2]*a[2,4]*a[3,4]*a[4,1]*a[4,3]^2-a[1,3]^2*a[2,1]^2*a[3,2] *a[4,2]+a[1,3]^2*a[2,1]*a[2,2]*a[3,2]*a[4,1]-a[1,3]^2*a[2,1]*a[3,2]*a[4,1]*a[4, 4]+a[1,3]^2*a[2,1]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,1]^2*a[4,2]^2+a[1,3]* a[1,4]*a[2,1]*a[2,2]*a[4,1]*a[4,2]+a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[4,1]*a[4,3]-a[ 1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,1]*a[4,2]+a[1,3]*a[2,1]*a[2,2]*a[3,2]*a[4,3]*a[4, 4]-a[1,3]*a[2,1]*a[2,2]*a[3,4]*a[4,2]*a[4,3]-a[1,3]*a[2,1]*a[2,3]*a[3,2]*a[4,2] *a[4,4]+a[1,3]*a[2,1]*a[2,3]*a[3,4]*a[4,2]^2-a[1,3]*a[2,1]*a[3,2]*a[3,4]*a[4,3] ^2-a[1,3]*a[2,1]*a[3,2]*a[4,3]*a[4,4]^2+a[1,3]*a[2,1]*a[3,3]*a[3,4]*a[4,2]*a[4, 3]+a[1,3]*a[2,1]*a[3,4]*a[4,2]*a[4,3]*a[4,4]-a[1,3]*a[2,3]*a[3,1]*a[3,4]*a[4,2] *a[4,3]+a[1,3]*a[2,3]*a[3,2]*a[3,4]*a[4,1]*a[4,3]+a[1,3]*a[2,4]*a[3,1]*a[3,2]*a [4,3]^2-a[1,3]*a[2,4]*a[3,2]*a[3,3]*a[4,1]*a[4,3]+a[1,3]*a[2,4]*a[3,2]*a[4,1]*a [4,3]*a[4,4]-a[1,3]*a[2,4]*a[3,4]*a[4,1]*a[4,2]*a[4,3]-a[1,4]*a[2,1]*a[2,2]*a[3 ,2]*a[4,3]^2+a[1,4]*a[2,1]*a[2,2]*a[3,3]*a[4,2]*a[4,3]+a[1,4]*a[2,1]*a[2,3]*a[3 ,2]*a[4,2]*a[4,3]-a[1,4]*a[2,1]*a[2,3]*a[3,3]*a[4,2]^2+a[1,4]*a[2,1]*a[3,2]*a[3 ,3]*a[4,3]^2+a[1,4]*a[2,1]*a[3,2]*a[4,3]^2*a[4,4]-a[1,4]*a[2,1]*a[3,3]^2*a[4,2] *a[4,3]-a[1,4]*a[2,1]*a[3,4]*a[4,2]*a[4,3]^2-a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,3] ^2+a[1,4]*a[2,3]*a[3,1]*a[3,3]*a[4,2]*a[4,3]-a[1,4]*a[2,3]*a[3,1]*a[4,2]*a[4,3] *a[4,4]+a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,2]*a[4,3]+a[1,4]*a[2,4]*a[3,1]*a[4,2]*a [4,3]^2-a[1,4]*a[2,4]*a[3,2]*a[4,1]*a[4,3]^2)+(-a[1,1]*a[1,2]^2*a[2,2]*a[2,3]*a [4,3]+a[1,1]*a[1,2]^2*a[2,3]^2*a[4,2]+a[1,1]*a[1,2]^2*a[2,3]*a[4,3]*a[4,4]-a[1, 1]*a[1,2]^2*a[2,4]*a[4,3]^2+a[1,1]*a[1,2]*a[1,3]*a[2,2]^2*a[4,3]-a[1,1]*a[1,2]* a[1,3]*a[2,2]*a[2,3]*a[4,2]-a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[3,3]*a[4,3]-a[1,1]*a[ 1,2]*a[1,3]*a[2,2]*a[4,3]*a[4,4]+a[1,1]*a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[4,2]+a[1, 1]*a[1,2]*a[1,3]*a[2,4]*a[4,2]*a[4,3]+a[1,1]*a[1,2]*a[1,3]*a[3,3]*a[4,3]*a[4,4] -a[1,1]*a[1,2]*a[1,3]*a[3,4]*a[4,3]^2+a[1,1]*a[1,3]^2*a[2,2]*a[3,2]*a[4,3]-a[1, 1]*a[1,3]^2*a[2,3]*a[3,2]*a[4,2]-a[1,1]*a[1,3]^2*a[3,2]*a[4,3]*a[4,4]+a[1,1]*a[ 1,3]^2*a[3,4]*a[4,2]*a[4,3]+a[1,1]*a[1,3]*a[1,4]*a[2,2]*a[4,2]*a[4,3]-a[1,1]*a[ 1,3]*a[1,4]*a[2,3]*a[4,2]^2+a[1,1]*a[1,3]*a[1,4]*a[3,2]*a[4,3]^2-a[1,1]*a[1,3]* a[1,4]*a[3,3]*a[4,2]*a[4,3]+a[1,2]^3*a[2,1]*a[2,3]*a[4,3]-a[1,2]^3*a[2,3]^2*a[4 ,1]-a[1,2]^2*a[1,3]*a[2,1]*a[2,2]*a[4,3]-a[1,2]^2*a[1,3]*a[2,1]*a[2,3]*a[4,2]+a [1,2]^2*a[1,3]*a[2,1]*a[3,3]*a[4,3]+2*a[1,2]^2*a[1,3]*a[2,2]*a[2,3]*a[4,1]-a[1, 2]^2*a[1,3]*a[2,3]*a[3,3]*a[4,1]-a[1,2]^2*a[1,3]*a[2,3]*a[4,1]*a[4,4]+a[1,2]^2* a[1,3]*a[2,4]*a[4,1]*a[4,3]+a[1,2]^2*a[1,4]*a[2,1]*a[4,3]^2-a[1,2]^2*a[1,4]*a[2 ,3]*a[4,1]*a[4,3]+a[1,2]^2*a[2,2]*a[2,3]*a[4,3]*a[4,4]-a[1,2]^2*a[2,2]*a[2,4]*a [4,3]^2-a[1,2]^2*a[2,3]^2*a[4,2]*a[4,4]+a[1,2]^2*a[2,3]*a[2,4]*a[4,2]*a[4,3]-a[ 1,2]^2*a[2,3]*a[3,4]*a[4,3]^2-a[1,2]^2*a[2,3]*a[4,3]*a[4,4]^2+a[1,2]^2*a[2,4]*a [3,3]*a[4,3]^2+a[1,2]^2*a[2,4]*a[4,3]^2*a[4,4]+a[1,2]*a[1,3]^2*a[2,1]*a[2,2]*a[ 4,2]-a[1,2]*a[1,3]^2*a[2,1]*a[3,2]*a[4,3]-a[1,2]*a[1,3]^2*a[2,1]*a[3,3]*a[4,2]- a[1,2]*a[1,3]^2*a[2,2]^2*a[4,1]+a[1,2]*a[1,3]^2*a[2,2]*a[3,3]*a[4,1]+a[1,2]*a[1 ,3]^2*a[2,2]*a[4,1]*a[4,4]+a[1,2]*a[1,3]^2*a[2,3]*a[3,2]*a[4,1]-a[1,2]*a[1,3]^2 *a[2,4]*a[4,1]*a[4,2]-a[1,2]*a[1,3]^2*a[3,3]*a[4,1]*a[4,4]+a[1,2]*a[1,3]^2*a[3, 4]*a[4,1]*a[4,3]-2*a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[4,2]*a[4,3]+2*a[1,2]*a[1,3]*a[ 1,4]*a[2,3]*a[4,1]*a[4,2]-a[1,2]*a[1,3]*a[2,2]^2*a[4,3]*a[4,4]+a[1,2]*a[1,3]*a[ 2,2]*a[2,3]*a[4,2]*a[4,4]+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,2]*a[4,3]+a[1,2]*a[1, 3]*a[2,2]*a[3,3]*a[4,3]*a[4,4]+a[1,2]*a[1,3]*a[2,2]*a[4,3]*a[4,4]^2-a[1,2]*a[1, 3]*a[2,3]*a[2,4]*a[4,2]^2-a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[4,2]*a[4,4]+2*a[1,2]*a[ 1,3]*a[2,3]*a[3,4]*a[4,2]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[3,2]*a[4,3]^2-a[1,2]*a[ 1,3]*a[2,4]*a[3,3]*a[4,2]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[4,2]*a[4,3]*a[4,4]-a[1, 2]*a[1,3]*a[3,3]*a[4,3]*a[4,4]^2+a[1,2]*a[1,3]*a[3,4]*a[4,3]^2*a[4,4]+a[1,2]*a[ 1,4]*a[2,2]^2*a[4,3]^2-2*a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[4,2]*a[4,3]-a[1,2]*a[1,4 ]*a[2,2]*a[3,3]*a[4,3]^2-a[1,2]*a[1,4]*a[2,2]*a[4,3]^2*a[4,4]+a[1,2]*a[1,4]*a[2 ,3]^2*a[4,2]^2+a[1,2]*a[1,4]*a[2,3]*a[3,2]*a[4,3]^2+2*a[1,2]*a[1,4]*a[2,3]*a[4, 2]*a[4,3]*a[4,4]-a[1,2]*a[1,4]*a[2,4]*a[4,2]*a[4,3]^2+a[1,2]*a[1,4]*a[3,3]*a[4, 3]^2*a[4,4]-a[1,2]*a[1,4]*a[3,4]*a[4,3]^3+a[1,3]^3*a[2,1]*a[3,2]*a[4,2]-a[1,3]^ 3*a[2,2]*a[3,2]*a[4,1]+a[1,3]^3*a[3,2]*a[4,1]*a[4,4]-a[1,3]^3*a[3,4]*a[4,1]*a[4 ,2]+a[1,3]^2*a[1,4]*a[2,1]*a[4,2]^2-a[1,3]^2*a[1,4]*a[2,2]*a[4,1]*a[4,2]-a[1,3] ^2*a[1,4]*a[3,2]*a[4,1]*a[4,3]+a[1,3]^2*a[1,4]*a[3,3]*a[4,1]*a[4,2]-a[1,3]^2*a[ 2,2]*a[3,2]*a[4,3]*a[4,4]+a[1,3]^2*a[2,3]*a[3,2]*a[4,2]*a[4,4]-a[1,3]^2*a[2,3]* a[3,4]*a[4,2]^2+a[1,3]^2*a[2,4]*a[3,2]*a[4,2]*a[4,3]+a[1,3]^2*a[3,2]*a[4,3]*a[4 ,4]^2-a[1,3]^2*a[3,4]*a[4,2]*a[4,3]*a[4,4]+a[1,3]*a[1,4]*a[2,2]*a[3,2]*a[4,3]^2 -a[1,3]*a[1,4]*a[2,2]*a[4,2]*a[4,3]*a[4,4]-2*a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,2] *a[4,3]+a[1,3]*a[1,4]*a[2,3]*a[3,3]*a[4,2]^2+a[1,3]*a[1,4]*a[2,4]*a[4,2]^2*a[4, 3]-2*a[1,3]*a[1,4]*a[3,2]*a[4,3]^2*a[4,4]+a[1,3]*a[1,4]*a[3,3]*a[4,2]*a[4,3]*a[ 4,4]+a[1,3]*a[1,4]*a[3,4]*a[4,2]*a[4,3]^2+a[1,4]^2*a[2,2]*a[4,2]*a[4,3]^2-a[1,4 ]^2*a[2,3]*a[4,2]^2*a[4,3]+a[1,4]^2*a[3,2]*a[4,3]^3-a[1,4]^2*a[3,3]*a[4,2]*a[4, 3]^2)*X[2,1]+X[4,3]*(a[1,2]^2*a[2,3]^2*a[3,4]*a[4,1]-a[1,2]^2*a[2,3]*a[2,4]*a[3 ,3]*a[4,1]+a[1,2]^2*a[2,3]*a[2,4]*a[4,1]*a[4,4]-a[1,2]^2*a[2,4]^2*a[4,1]*a[4,3] -a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,4]*a[4,2]+a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,2]*a [4,3]-a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,1]-a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3 ,1]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,3]*a[4,1]-a[1,2]*a[1,3]*a[2,2]*a[2,4 ]*a[4,1]*a[4,4]+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[4,2]-a[1,2]*a[1,3]*a[2,3]* a[3,1]*a[3,4]*a[4,3]+a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[3,4]*a[4,1]+a[1,2]*a[1,3]*a[ 2,4]^2*a[4,1]*a[4,2]+a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[3,3]*a[4,3]-a[1,2]*a[1,3]*a[ 2,4]*a[3,3]^2*a[4,1]+a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,1]*a[4,4]-a[1,2]*a[1,3]*a[ 2,4]*a[3,4]*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[4,3]+a[1,2]*a[1, 4]*a[2,1]*a[2,3]*a[3,3]*a[4,2]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[4,2]*a[4,4]+a[1,2] *a[1,4]*a[2,1]*a[2,4]*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,1]*a[4,3]+a [1,2]*a[1,4]*a[2,2]*a[2,4]*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,3]^2*a[3,1]*a[4,2]-a [1,2]*a[1,4]*a[2,3]*a[2,4]*a[4,1]*a[4,2]-a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[4,3]*a[4 ,4]+a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,3]+a[1,2]*a[1,4]*a[2,4]*a[3,1]*a[4,3 ]^2-a[1,2]*a[1,4]*a[2,4]*a[3,3]*a[4,1]*a[4,3]+a[1,3]^2*a[2,1]*a[2,2]*a[3,4]*a[4 ,2]-a[1,3]^2*a[2,1]*a[2,4]*a[3,2]*a[4,2]+a[1,3]^2*a[2,1]*a[3,2]*a[3,4]*a[4,3]-a [1,3]^2*a[2,1]*a[3,3]*a[3,4]*a[4,2]+a[1,3]^2*a[2,3]*a[3,1]*a[3,4]*a[4,2]-a[1,3] ^2*a[2,3]*a[3,2]*a[3,4]*a[4,1]-a[1,3]^2*a[2,4]*a[3,1]*a[3,2]*a[4,3]+a[1,3]^2*a[ 2,4]*a[3,2]*a[3,3]*a[4,1]-a[1,3]^2*a[2,4]*a[3,2]*a[4,1]*a[4,4]+a[1,3]^2*a[2,4]* a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[3,3]*a[4,2]+a[1,3]*a[1,4]*a[ 2,1]*a[2,2]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[4,2]-a[1,3]*a[1, 4]*a[2,1]*a[2,4]*a[4,2]^2-a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[3,3]*a[4,3]+a[1,3]*a[1, 4]*a[2,1]*a[3,2]*a[4,3]*a[4,4]+a[1,3]*a[1,4]*a[2,1]*a[3,3]^2*a[4,2]-a[1,3]*a[1, 4]*a[2,1]*a[3,3]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,3]-a[1,3] *a[1,4]*a[2,3]*a[3,1]*a[3,3]*a[4,2]+a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[4,2]*a[4,4]-a [1,3]*a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,4]*a[3,1]*a[4,2]*a[4 ,3]+a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,1]*a[4,3]-a[1,4]^2*a[2,1]*a[2,2]*a[4,2]*a[4 ,3]+a[1,4]^2*a[2,1]*a[2,3]*a[4,2]^2-a[1,4]^2*a[2,1]*a[3,2]*a[4,3]^2+a[1,4]^2*a[ 2,1]*a[3,3]*a[4,2]*a[4,3]) = 0 ------------------------------------ Theorem number, 11, : let, {X[1, 2], X[1, 3], X[2, 3], X[2, 4]}, be the entri\ es of an ARBITRARY power of the general matrix M, we always have the lin\ ear relation 2 2 2 (-a[1, 1] a[1, 3] a[2, 3] a[3, 4] + a[1, 1] a[1, 3] a[2, 3] a[2, 4] a[3, 3] 2 - a[1, 1] a[1, 3] a[2, 3] a[2, 4] a[4, 4] 2 2 3 + a[1, 1] a[1, 3] a[2, 4] a[4, 3] - a[1, 1] a[1, 2] a[2, 3] a[3, 4] 2 + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 3] 2 - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[4, 4] 2 + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[4, 3] 2 + 2 a[1, 1] a[1, 3] a[2, 1] a[2, 3] a[3, 4] 2 - a[1, 1] a[1, 3] a[2, 1] a[2, 4] a[3, 3] 2 + a[1, 1] a[1, 3] a[2, 1] a[2, 4] a[4, 4] 2 - a[1, 1] a[1, 3] a[2, 3] a[2, 4] a[3, 1] 2 2 - a[1, 1] a[1, 3] a[2, 4] a[4, 1] - a[1, 1] a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 3] + a[1, 1] a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[4, 4] - 2 a[1, 1] a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 3] 2 + a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 1] + a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[4, 1] 2 + a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[3, 4] - a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[2, 4] a[3, 3] + a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[2, 4] a[4, 4] 2 - a[1, 1] a[1, 3] a[2, 2] a[2, 4] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 4] - a[1, 1] a[1, 3] a[2, 3] a[2, 4] a[3, 3] a[4, 4] 2 + a[1, 1] a[1, 3] a[2, 3] a[2, 4] a[4, 4] 2 - a[1, 1] a[1, 3] a[2, 4] a[4, 3] a[4, 4] 2 - a[1, 1] a[1, 4] a[2, 3] a[3, 4] a[4, 3] + a[1, 1] a[1, 4] a[2, 3] a[2, 4] a[3, 3] a[4, 3] - a[1, 1] a[1, 4] a[2, 3] a[2, 4] a[4, 3] a[4, 4] 2 2 + a[1, 1] a[1, 4] a[2, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] 2 - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 1] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 4] - 2 a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[2, 4] a[4, 3] 3 + a[1, 2] a[1, 4] a[2, 3] a[3, 1] 2 + a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 1] 3 + a[1, 2] a[2, 3] a[3, 4] a[4, 4] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 4] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 4] a[4, 3] 2 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 4] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 3] 2 3 2 - 2 a[1, 2] a[2, 3] a[2, 4] a[4, 3] a[4, 4] + a[1, 2] a[2, 4] a[4, 3] 3 2 3 - a[1, 3] a[2, 1] a[3, 4] + a[1, 3] a[2, 1] a[2, 4] a[3, 1] 2 2 2 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 3] - a[1, 3] a[1, 4] a[2, 1] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 1] 2 + a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 1] 2 - a[1, 3] a[2, 1] a[2, 2] a[2, 3] a[3, 4] 2 - a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 4] 2 2 - a[1, 3] a[2, 1] a[2, 4] a[4, 2] 2 + a[1, 3] a[2, 1] a[2, 4] a[3, 3] a[4, 4] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 4] a[4, 3] 2 2 - a[1, 3] a[2, 1] a[2, 4] a[4, 4] 2 + a[1, 3] a[2, 2] a[2, 3] a[2, 4] a[3, 1] 2 2 + a[1, 3] a[2, 2] a[2, 4] a[4, 1] 2 + a[1, 3] a[2, 3] a[2, 4] a[3, 4] a[4, 1] 2 2 2 2 + a[1, 3] a[2, 4] a[3, 1] a[4, 3] - a[1, 3] a[2, 4] a[3, 3] a[4, 1] 2 2 2 2 + a[1, 3] a[2, 4] a[4, 1] a[4, 4] + a[1, 3] a[1, 4] a[2, 1] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[4, 1] + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[2, 3] a[3, 3] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[2, 3] a[4, 4] + 2 a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[2, 4] a[4, 2] + 2 a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 4] a[4, 3] + 2 a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 3] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 1] - a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[2, 4] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 1] - 2 a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[3, 1] a[4, 3] + a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[3, 3] a[4, 1] - a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 3] 2 - a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 4] + a[1, 3] a[2, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 4] 2 - a[1, 3] a[2, 2] a[2, 3] a[2, 4] a[4, 4] 2 + a[1, 3] a[2, 2] a[2, 4] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 3] a[2, 4] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[2, 4] a[3, 3] a[4, 2] 2 + a[1, 3] a[2, 3] a[2, 4] a[4, 2] a[4, 4] 3 - a[1, 3] a[2, 4] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[2, 2] a[2, 3] a[4, 3] 2 2 - a[1, 4] a[2, 1] a[2, 3] a[4, 2] 2 - a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 3] 2 2 2 2 - a[1, 4] a[2, 1] a[2, 4] a[4, 3] + a[1, 4] a[2, 3] a[3, 1] a[4, 3] 2 + a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 3] 2 + a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 3] - a[1, 4] a[2, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 3] + a[1, 4] a[2, 2] a[2, 3] a[2, 4] a[4, 3] a[4, 4] 2 2 3 - a[1, 4] a[2, 2] a[2, 4] a[4, 3] - a[1, 4] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 4] a[2, 3] a[2, 4] a[3, 3] a[4, 2] 2 - a[1, 4] a[2, 3] a[2, 4] a[4, 2] a[4, 4] 2 + a[1, 4] a[2, 3] a[2, 4] a[4, 2] a[4, 3]) X[1, 2] + ( 2 2 a[1, 1] a[1, 2] a[2, 3] a[3, 4] 2 - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 3] 2 + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[4, 4] 2 2 - a[1, 1] a[1, 2] a[2, 4] a[4, 3] - 2 a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] 2 + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[4, 1] + a[1, 1] a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 4] + 2 a[1, 1] a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[4, 3] 2 - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[3, 1] - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 1] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 3] a[3, 4] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 4] 2 + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 3] 2 - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[4, 4] 2 + a[1, 1] a[1, 2] a[2, 4] a[3, 3] a[4, 3] 2 + a[1, 1] a[1, 2] a[2, 4] a[4, 3] a[4, 4] 2 + a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[3, 4] - a[1, 1] a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[3, 3] + a[1, 1] a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 4] 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 1] a[1, 4] a[2, 3] a[3, 4] a[4, 2] - a[1, 1] a[1, 4] a[2, 3] a[2, 4] a[3, 3] a[4, 2] + a[1, 1] a[1, 4] a[2, 3] a[2, 4] a[4, 2] a[4, 4] 2 - a[1, 1] a[1, 4] a[2, 4] a[4, 2] a[4, 3] 2 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 4] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 1] 2 - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 3] 2 + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 1] + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 3] a[3, 4] + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 4] - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 3] a[4, 4] + 2 a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 4] - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[3, 3] - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 4] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 4] 2 2 - a[1, 2] a[1, 4] a[2, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 1] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 4] - 2 a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 4] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[3, 3] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[3, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 1] + a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 4] 2 + a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 4] 2 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 4] + a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 3] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 4] - a[1, 2] a[2, 3] a[2, 4] a[3, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 4] a[3, 3] a[4, 3] a[4, 4] 2 2 + a[1, 2] a[2, 4] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[3, 4] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[3, 2] 2 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 1] + a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[3, 3] - a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[3, 3] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] + a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[3, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 1] 2 + a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 4] 2 2 + a[1, 3] a[2, 3] a[3, 4] a[4, 2] + a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 4] 2 - a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 4] - a[1, 3] a[2, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 2] + a[1, 3] a[2, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[2, 4] a[4, 2] a[4, 3] 2 2 - a[1, 4] a[2, 3] a[3, 1] a[4, 2] 2 - a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 4] a[2, 3] a[3, 3] a[3, 4] a[4, 2] - a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 3] + a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 4] a[2, 3] a[2, 4] a[3, 3] a[4, 2] - a[1, 4] a[2, 3] a[2, 4] a[3, 3] a[4, 2] a[4, 4] 2 2 - a[1, 4] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 3]) X[1, 3] + ( 2 2 a[1, 1] a[1, 2] a[2, 3] a[3, 4] 2 - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 3] 2 + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[4, 4] 2 2 - a[1, 1] a[1, 2] a[2, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] 2 + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[4, 2] 2 - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 4] - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 3] + a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[3, 4] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[3, 3] 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 4] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 4] a[4, 2] - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 2] + a[1, 1] a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[4, 3] 2 2 2 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] - a[1, 2] a[2, 3] a[3, 4] a[4, 4] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 4] 2 2 2 2 - a[1, 2] a[2, 3] a[2, 4] a[4, 4] + a[1, 2] a[2, 4] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 4] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[3, 4] 2 - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 3] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 4] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 2] 2 + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 3] + a[1, 2] a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 4] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 4] - a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 4] - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 4] + a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 2] 2 + a[1, 2] a[1, 4] a[2, 1] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 3] a[4, 2] + 2 a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 2] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 4] a[3, 4] a[4, 3] 3 3 + a[1, 3] a[2, 1] a[3, 2] a[3, 4] - a[1, 3] a[2, 4] a[3, 1] a[3, 2] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] 2 - a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 2] 2 - a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 4] 2 2 2 2 - a[1, 3] a[2, 3] a[3, 4] a[4, 2] + a[1, 3] a[2, 4] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 4] 2 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] + a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[3, 3] a[4, 2] - a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 2] - a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 3] + a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[3, 4] a[4, 2] 2 2 + a[1, 3] a[1, 4] a[2, 4] a[4, 2] + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[3, 3] a[4, 3] - 2 a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 2] a[2, 4] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 4] a[2, 3] a[2, 4] a[4, 2] + a[1, 4] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 3]) X[2, 3] + X[2, 4] ( a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 3] 2 + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[4, 2] + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[4, 3] a[4, 4] 2 - a[1, 1] a[1, 2] a[1, 4] a[2, 4] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 3] + a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 2] - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[4, 2] a[4, 4] + a[1, 1] a[1, 3] a[1, 4] a[2, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 1] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 3] 2 2 2 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 1] + a[1, 2] a[2, 3] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 3] 2 2 2 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 3] a[4, 4] - a[1, 2] a[2, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[4, 2] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[4, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 3] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 3] 2 2 + a[1, 2] a[1, 4] a[2, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 3] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 2] a[4, 4] - a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 3] 3 3 + a[1, 3] a[2, 1] a[3, 4] a[4, 2] - a[1, 3] a[2, 4] a[3, 2] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 2] 2 + a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 3] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 3] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 4] a[2, 2] a[2, 3] a[4, 2] a[4, 3] + a[1, 4] a[2, 3] a[4, 2] 2 2 - a[1, 4] a[2, 3] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 3] a[4, 2] a[4, 3]) = 0 in Maple notation (-a[1,1]^2*a[1,3]*a[2,3]^2*a[3,4]+a[1,1]^2*a[1,3]*a[2,3]*a[2,4]*a[3,3]-a[1,1]^2 *a[1,3]*a[2,3]*a[2,4]*a[4,4]+a[1,1]^2*a[1,3]*a[2,4]^2*a[4,3]-a[1,1]*a[1,2]*a[2, 3]^3*a[3,4]+a[1,1]*a[1,2]*a[2,3]^2*a[2,4]*a[3,3]-a[1,1]*a[1,2]*a[2,3]^2*a[2,4]* a[4,4]+a[1,1]*a[1,2]*a[2,3]*a[2,4]^2*a[4,3]+2*a[1,1]*a[1,3]^2*a[2,1]*a[2,3]*a[3 ,4]-a[1,1]*a[1,3]^2*a[2,1]*a[2,4]*a[3,3]+a[1,1]*a[1,3]^2*a[2,1]*a[2,4]*a[4,4]-a [1,1]*a[1,3]^2*a[2,3]*a[2,4]*a[3,1]-a[1,1]*a[1,3]^2*a[2,4]^2*a[4,1]-a[1,1]*a[1, 3]*a[1,4]*a[2,1]*a[2,3]*a[3,3]+a[1,1]*a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[4,4]-2*a[1, 1]*a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[4,3]+a[1,1]*a[1,3]*a[1,4]*a[2,3]^2*a[3,1]+a[1, 1]*a[1,3]*a[1,4]*a[2,3]*a[2,4]*a[4,1]+a[1,1]*a[1,3]*a[2,2]*a[2,3]^2*a[3,4]-a[1, 1]*a[1,3]*a[2,2]*a[2,3]*a[2,4]*a[3,3]+a[1,1]*a[1,3]*a[2,2]*a[2,3]*a[2,4]*a[4,4] -a[1,1]*a[1,3]*a[2,2]*a[2,4]^2*a[4,3]+a[1,1]*a[1,3]*a[2,3]^2*a[3,4]*a[4,4]-a[1, 1]*a[1,3]*a[2,3]*a[2,4]*a[3,3]*a[4,4]+a[1,1]*a[1,3]*a[2,3]*a[2,4]*a[4,4]^2-a[1, 1]*a[1,3]*a[2,4]^2*a[4,3]*a[4,4]-a[1,1]*a[1,4]*a[2,3]^2*a[3,4]*a[4,3]+a[1,1]*a[ 1,4]*a[2,3]*a[2,4]*a[3,3]*a[4,3]-a[1,1]*a[1,4]*a[2,3]*a[2,4]*a[4,3]*a[4,4]+a[1, 1]*a[1,4]*a[2,4]^2*a[4,3]^2+a[1,2]*a[1,3]*a[2,1]*a[2,3]^2*a[3,4]+a[1,2]*a[1,3]* a[2,1]*a[2,4]^2*a[4,3]-a[1,2]*a[1,3]*a[2,3]^2*a[2,4]*a[3,1]-a[1,2]*a[1,3]*a[2,3 ]*a[2,4]^2*a[4,1]-a[1,2]*a[1,4]*a[2,1]*a[2,3]^2*a[3,3]+a[1,2]*a[1,4]*a[2,1]*a[2 ,3]^2*a[4,4]-2*a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[2,4]*a[4,3]+a[1,2]*a[1,4]*a[2,3]^3 *a[3,1]+a[1,2]*a[1,4]*a[2,3]^2*a[2,4]*a[4,1]+a[1,2]*a[2,3]^3*a[3,4]*a[4,4]-a[1, 2]*a[2,3]^2*a[2,4]*a[3,3]*a[4,4]-a[1,2]*a[2,3]^2*a[2,4]*a[3,4]*a[4,3]+a[1,2]*a[ 2,3]^2*a[2,4]*a[4,4]^2+a[1,2]*a[2,3]*a[2,4]^2*a[3,3]*a[4,3]-2*a[1,2]*a[2,3]*a[2 ,4]^2*a[4,3]*a[4,4]+a[1,2]*a[2,4]^3*a[4,3]^2-a[1,3]^3*a[2,1]^2*a[3,4]+a[1,3]^3* a[2,1]*a[2,4]*a[3,1]+a[1,3]^2*a[1,4]*a[2,1]^2*a[3,3]-a[1,3]^2*a[1,4]*a[2,1]^2*a [4,4]-a[1,3]^2*a[1,4]*a[2,1]*a[2,3]*a[3,1]+a[1,3]^2*a[1,4]*a[2,1]*a[2,4]*a[4,1] -a[1,3]^2*a[2,1]*a[2,2]*a[2,3]*a[3,4]-a[1,3]^2*a[2,1]*a[2,3]*a[3,4]*a[4,4]-a[1, 3]^2*a[2,1]*a[2,4]^2*a[4,2]+a[1,3]^2*a[2,1]*a[2,4]*a[3,3]*a[4,4]-a[1,3]^2*a[2,1 ]*a[2,4]*a[3,4]*a[4,3]-a[1,3]^2*a[2,1]*a[2,4]*a[4,4]^2+a[1,3]^2*a[2,2]*a[2,3]*a [2,4]*a[3,1]+a[1,3]^2*a[2,2]*a[2,4]^2*a[4,1]+a[1,3]^2*a[2,3]*a[2,4]*a[3,4]*a[4, 1]+a[1,3]^2*a[2,4]^2*a[3,1]*a[4,3]-a[1,3]^2*a[2,4]^2*a[3,3]*a[4,1]+a[1,3]^2*a[2 ,4]^2*a[4,1]*a[4,4]+a[1,3]*a[1,4]^2*a[2,1]^2*a[4,3]-a[1,3]*a[1,4]^2*a[2,1]*a[2, 3]*a[4,1]+a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[2,3]*a[3,3]-a[1,3]*a[1,4]*a[2,1]*a[2,2] *a[2,3]*a[4,4]+2*a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[2,4]*a[4,2]+2*a[1,3]*a[1,4]*a[2, 1]*a[2,3]*a[3,4]*a[4,3]+2*a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[4,3]*a[4,4]-a[1,3]*a[1, 4]*a[2,2]*a[2,3]^2*a[3,1]-a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[2,4]*a[4,1]-a[1,3]*a[1, 4]*a[2,3]^2*a[3,4]*a[4,1]-2*a[1,3]*a[1,4]*a[2,3]*a[2,4]*a[3,1]*a[4,3]+a[1,3]*a[ 1,4]*a[2,3]*a[2,4]*a[3,3]*a[4,1]-a[1,3]*a[1,4]*a[2,3]*a[2,4]*a[4,1]*a[4,4]-a[1, 3]*a[1,4]*a[2,4]^2*a[4,1]*a[4,3]-a[1,3]*a[2,2]*a[2,3]^2*a[3,4]*a[4,4]+a[1,3]*a[ 2,2]*a[2,3]*a[2,4]*a[3,3]*a[4,4]-a[1,3]*a[2,2]*a[2,3]*a[2,4]*a[4,4]^2+a[1,3]*a[ 2,2]*a[2,4]^2*a[4,3]*a[4,4]+a[1,3]*a[2,3]^2*a[2,4]*a[3,4]*a[4,2]-a[1,3]*a[2,3]* a[2,4]^2*a[3,3]*a[4,2]+a[1,3]*a[2,3]*a[2,4]^2*a[4,2]*a[4,4]-a[1,3]*a[2,4]^3*a[4 ,2]*a[4,3]+a[1,4]^2*a[2,1]*a[2,2]*a[2,3]*a[4,3]-a[1,4]^2*a[2,1]*a[2,3]^2*a[4,2] -a[1,4]^2*a[2,1]*a[2,3]*a[3,3]*a[4,3]-a[1,4]^2*a[2,1]*a[2,4]*a[4,3]^2+a[1,4]^2* a[2,3]^2*a[3,1]*a[4,3]+a[1,4]^2*a[2,3]*a[2,4]*a[4,1]*a[4,3]+a[1,4]*a[2,2]*a[2,3 ]^2*a[3,4]*a[4,3]-a[1,4]*a[2,2]*a[2,3]*a[2,4]*a[3,3]*a[4,3]+a[1,4]*a[2,2]*a[2,3 ]*a[2,4]*a[4,3]*a[4,4]-a[1,4]*a[2,2]*a[2,4]^2*a[4,3]^2-a[1,4]*a[2,3]^3*a[3,4]*a [4,2]+a[1,4]*a[2,3]^2*a[2,4]*a[3,3]*a[4,2]-a[1,4]*a[2,3]^2*a[2,4]*a[4,2]*a[4,4] +a[1,4]*a[2,3]*a[2,4]^2*a[4,2]*a[4,3])*X[1,2]+(a[1,1]^2*a[1,2]*a[2,3]^2*a[3,4]- a[1,1]^2*a[1,2]*a[2,3]*a[2,4]*a[3,3]+a[1,1]^2*a[1,2]*a[2,3]*a[2,4]*a[4,4]-a[1,1 ]^2*a[1,2]*a[2,4]^2*a[4,3]-2*a[1,1]*a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,4]+a[1,1]*a [1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,3]-a[1,1]*a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[4,4]+a[1 ,1]*a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,1]+a[1,1]*a[1,2]*a[1,3]*a[2,4]^2*a[4,1]+a[1 ,1]*a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,3]-a[1,1]*a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[4,4 ]+2*a[1,1]*a[1,2]*a[1,4]*a[2,1]*a[2,4]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,3]^2*a[3 ,1]-a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[4,1]-a[1,1]*a[1,2]*a[2,3]^2*a[3,3]*a[3 ,4]-a[1,1]*a[1,2]*a[2,3]^2*a[3,4]*a[4,4]+a[1,1]*a[1,2]*a[2,3]*a[2,4]*a[3,3]^2-a [1,1]*a[1,2]*a[2,3]*a[2,4]*a[4,4]^2+a[1,1]*a[1,2]*a[2,4]^2*a[3,3]*a[4,3]+a[1,1] *a[1,2]*a[2,4]^2*a[4,3]*a[4,4]+a[1,1]*a[1,3]*a[2,3]^2*a[3,2]*a[3,4]-a[1,1]*a[1, 3]*a[2,3]*a[2,4]*a[3,2]*a[3,3]+a[1,1]*a[1,3]*a[2,3]*a[2,4]*a[3,2]*a[4,4]-a[1,1] *a[1,3]*a[2,4]^2*a[3,2]*a[4,3]+a[1,1]*a[1,4]*a[2,3]^2*a[3,4]*a[4,2]-a[1,1]*a[1, 4]*a[2,3]*a[2,4]*a[3,3]*a[4,2]+a[1,1]*a[1,4]*a[2,3]*a[2,4]*a[4,2]*a[4,4]-a[1,1] *a[1,4]*a[2,4]^2*a[4,2]*a[4,3]+a[1,2]*a[1,3]^2*a[2,1]^2*a[3,4]-a[1,2]*a[1,3]^2* a[2,1]*a[2,4]*a[3,1]-a[1,2]*a[1,3]*a[1,4]*a[2,1]^2*a[3,3]+a[1,2]*a[1,3]*a[1,4]* a[2,1]^2*a[4,4]+a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[3,1]-a[1,2]*a[1,3]*a[1,4]* a[2,1]*a[2,4]*a[4,1]+a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,3]*a[3,4]+a[1,2]*a[1,3]*a[ 2,1]*a[2,3]*a[3,4]*a[4,4]-a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,3]*a[4,4]+2*a[1,2]*a[ 1,3]*a[2,1]*a[2,4]*a[3,4]*a[4,3]+a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[4,4]^2-a[1,2]*a[ 1,3]*a[2,3]*a[2,4]*a[3,1]*a[3,3]-a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,4]*a[4,1]-a[1, 2]*a[1,3]*a[2,4]^2*a[3,1]*a[4,3]-a[1,2]*a[1,3]*a[2,4]^2*a[4,1]*a[4,4]-a[1,2]*a[ 1,4]^2*a[2,1]^2*a[4,3]+a[1,2]*a[1,4]^2*a[2,1]*a[2,3]*a[4,1]-a[1,2]*a[1,4]*a[2,1 ]*a[2,3]*a[3,3]^2+a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,3]*a[4,4]-2*a[1,2]*a[1,4]*a[2 ,1]*a[2,3]*a[3,4]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[2,4]*a[3,3]*a[4,3]-a[1,2]*a[1,4 ]*a[2,1]*a[2,4]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,3]^2*a[3,1]*a[3,3]+a[1,2]*a[1,4 ]*a[2,3]^2*a[3,4]*a[4,1]+a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[3,1]*a[4,3]+a[1,2]*a[1,4 ]*a[2,3]*a[2,4]*a[4,1]*a[4,4]+a[1,2]*a[2,3]^2*a[3,3]*a[3,4]*a[4,4]-a[1,2]*a[2,3 ]^2*a[3,4]^2*a[4,3]-a[1,2]*a[2,3]*a[2,4]*a[3,3]^2*a[4,4]+a[1,2]*a[2,3]*a[2,4]*a [3,3]*a[3,4]*a[4,3]+a[1,2]*a[2,3]*a[2,4]*a[3,3]*a[4,4]^2-a[1,2]*a[2,3]*a[2,4]*a [3,4]*a[4,3]*a[4,4]-a[1,2]*a[2,4]^2*a[3,3]*a[4,3]*a[4,4]+a[1,2]*a[2,4]^2*a[3,4] *a[4,3]^2-a[1,3]^2*a[2,1]*a[2,3]*a[3,2]*a[3,4]-a[1,3]^2*a[2,1]*a[2,4]*a[3,4]*a[ 4,2]+a[1,3]^2*a[2,3]*a[2,4]*a[3,1]*a[3,2]+a[1,3]^2*a[2,4]^2*a[3,2]*a[4,1]+a[1,3 ]*a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[3,3]-a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[4,4]+ a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[3,3]*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[4,2]*a[ 4,4]-a[1,3]*a[1,4]*a[2,3]^2*a[3,1]*a[3,2]+a[1,3]*a[1,4]*a[2,3]*a[2,4]*a[3,1]*a[ 4,2]-a[1,3]*a[1,4]*a[2,3]*a[2,4]*a[3,2]*a[4,1]+a[1,3]*a[1,4]*a[2,4]^2*a[4,1]*a[ 4,2]-a[1,3]*a[2,3]^2*a[3,2]*a[3,4]*a[4,4]+a[1,3]*a[2,3]^2*a[3,4]^2*a[4,2]+a[1,3 ]*a[2,3]*a[2,4]*a[3,2]*a[3,3]*a[4,4]-a[1,3]*a[2,3]*a[2,4]*a[3,2]*a[4,4]^2-a[1,3 ]*a[2,3]*a[2,4]*a[3,3]*a[3,4]*a[4,2]+a[1,3]*a[2,3]*a[2,4]*a[3,4]*a[4,2]*a[4,4]+ a[1,3]*a[2,4]^2*a[3,2]*a[4,3]*a[4,4]-a[1,3]*a[2,4]^2*a[3,4]*a[4,2]*a[4,3]+a[1,4 ]^2*a[2,1]*a[2,3]*a[3,2]*a[4,3]+a[1,4]^2*a[2,1]*a[2,4]*a[4,2]*a[4,3]-a[1,4]^2*a [2,3]^2*a[3,1]*a[4,2]-a[1,4]^2*a[2,3]*a[2,4]*a[4,1]*a[4,2]+a[1,4]*a[2,3]^2*a[3, 2]*a[3,4]*a[4,3]-a[1,4]*a[2,3]^2*a[3,3]*a[3,4]*a[4,2]-a[1,4]*a[2,3]*a[2,4]*a[3, 2]*a[3,3]*a[4,3]+a[1,4]*a[2,3]*a[2,4]*a[3,2]*a[4,3]*a[4,4]+a[1,4]*a[2,3]*a[2,4] *a[3,3]^2*a[4,2]-a[1,4]*a[2,3]*a[2,4]*a[3,3]*a[4,2]*a[4,4]-a[1,4]*a[2,4]^2*a[3, 2]*a[4,3]^2+a[1,4]*a[2,4]^2*a[3,3]*a[4,2]*a[4,3])*X[1,3]+(a[1,1]*a[1,2]^2*a[2,3 ]^2*a[3,4]-a[1,1]*a[1,2]^2*a[2,3]*a[2,4]*a[3,3]+a[1,1]*a[1,2]^2*a[2,3]*a[2,4]*a [4,4]-a[1,1]*a[1,2]^2*a[2,4]^2*a[4,3]-a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4] +a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,3]-a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,4]*a [4,4]+a[1,1]*a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[3,4]+a[1,1]*a[1,2]*a[1,3]*a[2,4]^2*a [4,2]-a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,3]^2+a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,3]*a [4,4]-a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,4]*a[4,3]+a[1,1]*a[1,2]*a[1,4]*a[2,2]*a[2 ,4]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[4,2]+a[1,1]*a[1,2]*a[1,4]*a[2,3 ]*a[3,4]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,4]*a[3,3]*a[4,3]-a[1,1]*a[1,3]^2*a[2,3 ]*a[3,2]*a[3,4]+a[1,1]*a[1,3]^2*a[2,4]*a[3,2]*a[3,3]-a[1,1]*a[1,3]^2*a[2,4]*a[3 ,2]*a[4,4]+a[1,1]*a[1,3]^2*a[2,4]*a[3,4]*a[4,2]-a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[3 ,4]*a[4,2]+a[1,1]*a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,3]-a[1,2]^2*a[1,3]*a[2,1]*a[2 ,3]*a[3,4]+a[1,2]^2*a[1,3]*a[2,3]*a[2,4]*a[3,1]+a[1,2]^2*a[1,4]*a[2,1]*a[2,3]*a [3,3]-a[1,2]^2*a[1,4]*a[2,1]*a[2,3]*a[4,4]+a[1,2]^2*a[1,4]*a[2,1]*a[2,4]*a[4,3] -a[1,2]^2*a[1,4]*a[2,3]^2*a[3,1]-a[1,2]^2*a[2,3]^2*a[3,4]*a[4,4]+a[1,2]^2*a[2,3 ]*a[2,4]*a[3,3]*a[4,4]-a[1,2]^2*a[2,3]*a[2,4]*a[4,4]^2+a[1,2]^2*a[2,4]^2*a[4,3] *a[4,4]+a[1,2]*a[1,3]^2*a[2,1]*a[2,2]*a[3,4]-a[1,2]*a[1,3]^2*a[2,1]*a[3,3]*a[3, 4]-a[1,2]*a[1,3]^2*a[2,2]*a[2,4]*a[3,1]+a[1,2]*a[1,3]^2*a[2,4]*a[3,1]*a[3,3]-a[ 1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[3,3]+a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[4, 4]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[4,2]+a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[3,3] ^2-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,4]+a[1,2]*a[1,3]*a[1,4]*a[2,2]*a[2,3] *a[3,1]-a[1,2]*a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,3]+a[1,2]*a[1,3]*a[1,4]*a[2,4]*a [3,1]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,4]-a[1,2]*a[1,3]*a[2,2]*a[2 ,4]*a[3,3]*a[4,4]+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,4]*a[4,3]+a[1,2]*a[1,3]*a[2,2 ]*a[2,4]*a[4,4]^2-a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[3,4]*a[4,4]+a[1,2]*a[1,3]*a[2,3 ]*a[3,4]^2*a[4,3]-a[1,2]*a[1,3]*a[2,4]^2*a[3,2]*a[4,3]-a[1,2]*a[1,3]*a[2,4]^2*a [4,2]*a[4,4]+a[1,2]*a[1,3]*a[2,4]*a[3,3]^2*a[4,4]-a[1,2]*a[1,3]*a[2,4]*a[3,3]*a [3,4]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,4]^2+a[1,2]*a[1,3]*a[2,4]*a[3,4]*a [4,3]*a[4,4]-a[1,2]*a[1,4]^2*a[2,1]*a[2,2]*a[4,3]+a[1,2]*a[1,4]^2*a[2,1]*a[2,3] *a[4,2]+a[1,2]*a[1,4]^2*a[2,1]*a[3,3]*a[4,3]-a[1,2]*a[1,4]^2*a[2,3]*a[3,1]*a[4, 3]-a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,4]*a[4,3]-a[1,2]*a[1,4]*a[2,2]*a[2,4]*a[4,3] *a[4,4]+a[1,2]*a[1,4]*a[2,3]^2*a[3,4]*a[4,2]+a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[3,2] *a[4,3]-a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[3,3]*a[4,2]+2*a[1,2]*a[1,4]*a[2,3]*a[2,4] *a[4,2]*a[4,4]-a[1,2]*a[1,4]*a[2,4]^2*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[2,4]*a[3,3] *a[4,3]*a[4,4]-a[1,2]*a[1,4]*a[2,4]*a[3,4]*a[4,3]^2+a[1,3]^3*a[2,1]*a[3,2]*a[3, 4]-a[1,3]^3*a[2,4]*a[3,1]*a[3,2]-a[1,3]^2*a[1,4]*a[2,1]*a[3,2]*a[3,3]+a[1,3]^2* a[1,4]*a[2,1]*a[3,2]*a[4,4]+a[1,3]^2*a[1,4]*a[2,3]*a[3,1]*a[3,2]-a[1,3]^2*a[1,4 ]*a[2,4]*a[3,1]*a[4,2]-a[1,3]^2*a[2,2]*a[2,4]*a[3,4]*a[4,2]+a[1,3]^2*a[2,3]*a[3 ,2]*a[3,4]*a[4,4]-a[1,3]^2*a[2,3]*a[3,4]^2*a[4,2]+a[1,3]^2*a[2,4]^2*a[3,2]*a[4, 2]-a[1,3]^2*a[2,4]*a[3,2]*a[3,3]*a[4,4]+a[1,3]^2*a[2,4]*a[3,2]*a[4,4]^2+a[1,3]^ 2*a[2,4]*a[3,3]*a[3,4]*a[4,2]-a[1,3]^2*a[2,4]*a[3,4]*a[4,2]*a[4,4]-a[1,3]*a[1,4 ]^2*a[2,1]*a[3,2]*a[4,3]+a[1,3]*a[1,4]^2*a[2,3]*a[3,1]*a[4,2]+a[1,3]*a[1,4]*a[2 ,2]*a[2,4]*a[3,3]*a[4,2]-a[1,3]*a[1,4]*a[2,2]*a[2,4]*a[4,2]*a[4,4]-a[1,3]*a[1,4 ]*a[2,3]*a[2,4]*a[3,2]*a[4,2]-a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[3,4]*a[4,3]+a[1,3]* a[1,4]*a[2,3]*a[3,3]*a[3,4]*a[4,2]+a[1,3]*a[1,4]*a[2,4]^2*a[4,2]^2+a[1,3]*a[1,4 ]*a[2,4]*a[3,2]*a[3,3]*a[4,3]-2*a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,3]*a[4,4]-a[1,3 ]*a[1,4]*a[2,4]*a[3,3]^2*a[4,2]+a[1,3]*a[1,4]*a[2,4]*a[3,3]*a[4,2]*a[4,4]+a[1,3 ]*a[1,4]*a[2,4]*a[3,4]*a[4,2]*a[4,3]+a[1,4]^2*a[2,2]*a[2,4]*a[4,2]*a[4,3]-a[1,4 ]^2*a[2,3]*a[2,4]*a[4,2]^2+a[1,4]^2*a[2,4]*a[3,2]*a[4,3]^2-a[1,4]^2*a[2,4]*a[3, 3]*a[4,2]*a[4,3])*X[2,3]+X[2,4]*(a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,3]-a[1, 1]*a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[4,2]+a[1,1]*a[1,2]*a[1,3]*a[2,3]*a[3,4]*a[4,3] -a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,2]*a[2,3]*a [4,3]+a[1,1]*a[1,2]*a[1,4]*a[2,3]^2*a[4,2]+a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[4,3]*a [4,4]-a[1,1]*a[1,2]*a[1,4]*a[2,4]*a[4,3]^2-a[1,1]*a[1,3]^2*a[2,3]*a[3,4]*a[4,2] +a[1,1]*a[1,3]^2*a[2,4]*a[3,2]*a[4,3]-a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,3] +a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[3,3]*a[4,2]-a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[4,2]*a [4,4]+a[1,1]*a[1,3]*a[1,4]*a[2,4]*a[4,2]*a[4,3]-a[1,2]^2*a[1,3]*a[2,1]*a[2,4]*a [4,3]+a[1,2]^2*a[1,3]*a[2,3]*a[2,4]*a[4,1]+a[1,2]^2*a[1,4]*a[2,1]*a[2,3]*a[4,3] -a[1,2]^2*a[1,4]*a[2,3]^2*a[4,1]+a[1,2]^2*a[2,3]^2*a[3,4]*a[4,3]-a[1,2]^2*a[2,3 ]*a[2,4]*a[3,3]*a[4,3]+a[1,2]^2*a[2,3]*a[2,4]*a[4,3]*a[4,4]-a[1,2]^2*a[2,4]^2*a [4,3]^2+a[1,2]*a[1,3]^2*a[2,1]*a[2,4]*a[4,2]-a[1,2]*a[1,3]^2*a[2,1]*a[3,4]*a[4, 3]-a[1,2]*a[1,3]^2*a[2,2]*a[2,4]*a[4,1]+a[1,2]*a[1,3]^2*a[2,4]*a[3,3]*a[4,1]-a[ 1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[4,2]+a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4, 3]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[4,3]*a[4,4]+a[1,2]*a[1,3]*a[1,4]*a[2,2]*a[2,3] *a[4,1]-a[1,2]*a[1,3]*a[1,4]*a[2,3]*a[3,3]*a[4,1]+a[1,2]*a[1,3]*a[1,4]*a[2,4]*a [4,1]*a[4,3]-a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,3]-a[1,2]*a[1,3]*a[2,2]*a[2 ,4]*a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[2,3]^2*a[3,4]*a[4,2]+a[1,2]*a[1,3]*a[2,3]*a[2 ,4]*a[3,2]*a[4,3]+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,3]*a[4,2]+a[1,2]*a[1,3]*a[2,4 ]^2*a[4,2]*a[4,3]+a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[2,4 ]*a[3,4]*a[4,3]^2+a[1,2]*a[1,4]^2*a[2,1]*a[4,3]^2-a[1,2]*a[1,4]^2*a[2,3]*a[4,1] *a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,3]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,4]*a [4,3]^2-a[1,2]*a[1,4]*a[2,3]^2*a[3,2]*a[4,3]-a[1,2]*a[1,4]*a[2,3]^2*a[4,2]*a[4, 4]-a[1,2]*a[1,4]*a[2,3]*a[3,3]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,3] ^2+a[1,3]^3*a[2,1]*a[3,4]*a[4,2]-a[1,3]^3*a[2,4]*a[3,2]*a[4,1]-a[1,3]^2*a[1,4]* a[2,1]*a[3,3]*a[4,2]+a[1,3]^2*a[1,4]*a[2,1]*a[4,2]*a[4,4]+a[1,3]^2*a[1,4]*a[2,3 ]*a[3,2]*a[4,1]-a[1,3]^2*a[1,4]*a[2,4]*a[4,1]*a[4,2]+a[1,3]^2*a[2,2]*a[2,3]*a[3 ,4]*a[4,2]-a[1,3]^2*a[2,3]*a[2,4]*a[3,2]*a[4,2]-a[1,3]^2*a[2,4]*a[3,2]*a[4,3]*a [4,4]+a[1,3]^2*a[2,4]*a[3,4]*a[4,2]*a[4,3]-a[1,3]*a[1,4]^2*a[2,1]*a[4,2]*a[4,3] +a[1,3]*a[1,4]^2*a[2,3]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[3,3]*a[4,2] +a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,3]^2*a[3,2]*a[4,2] -a[1,3]*a[1,4]*a[2,3]*a[2,4]*a[4,2]^2+a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,3]*a[4,4] -a[1,3]*a[1,4]*a[2,3]*a[3,4]*a[4,2]*a[4,3]+a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,3]^2 -a[1,3]*a[1,4]*a[2,4]*a[3,3]*a[4,2]*a[4,3]-a[1,4]^2*a[2,2]*a[2,3]*a[4,2]*a[4,3] +a[1,4]^2*a[2,3]^2*a[4,2]^2-a[1,4]^2*a[2,3]*a[3,2]*a[4,3]^2+a[1,4]^2*a[2,3]*a[3 ,3]*a[4,2]*a[4,3]) = 0 ------------------------------------ Theorem number, 12, : let, {X[1, 2], X[1, 3], X[2, 3], X[3, 2]}, be the entri\ es of an ARBITRARY power of the general matrix M, we always have the lin\ ear relation 2 (-a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 1] - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 2] + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 1] a[3, 4] a[4, 2] 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 1] - a[1, 1] a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 3] + a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] + a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 2] - a[1, 1] a[1, 3] a[2, 2] a[2, 4] a[3, 2] a[4, 3] + a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 2] a[4, 4] - a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 3] a[4, 4] - a[1, 1] a[1, 4] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 1] a[1, 4] a[2, 4] a[3, 2] a[4, 3] 2 2 + a[1, 2] a[2, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 1] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[4, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 1] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 1] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 1] + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 3] a[4, 4] - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[2, 3] a[3, 4] a[4, 2] a[4, 4] - a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 3] a[4, 4] - a[1, 2] a[2, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 2 + a[1, 2] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 1] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 3] a[2, 2] a[2, 4] a[3, 2] a[4, 1] 2 + a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[1, 4] a[2, 1] a[3, 4] a[4, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 2] a[4, 4] + a[1, 3] a[2, 2] a[2, 4] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 3] a[2, 4] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 2] a[4, 3] 2 2 - a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 3] + a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 2] a[2, 4] a[3, 2] a[4, 3] 2 2 - a[1, 4] a[2, 3] a[3, 4] a[4, 2] + a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 2] a[4, 3]) X[1, 2] + ( 2 a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 1] a[1, 2] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 1] 2 + a[1, 1] a[1, 2] a[2, 4] a[3, 1] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 1] + a[1, 1] a[1, 2] a[1, 4] a[2, 1] a[3, 2] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 2] - a[1, 1] a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 2] - a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 2] a[4, 4] + a[1, 1] a[1, 2] a[2, 4] a[3, 2] a[3, 3] a[4, 3] + a[1, 1] a[1, 2] a[2, 4] a[3, 2] a[4, 3] a[4, 4] + a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 2] 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 1] a[1, 4] a[2, 3] a[3, 4] a[4, 2] - a[1, 1] a[1, 4] a[2, 4] a[3, 2] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 1] 2 - a[1, 2] a[1, 4] a[2, 1] a[3, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 1] 2 - a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] 2 + a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 4] a[3, 1] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 3] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 1] + a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] + a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 4] + a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] - a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[3, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 4] + a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 2] a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3] + a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 2] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 2] a[4, 3] - a[1, 2] a[2, 4] a[3, 2] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 2] 2 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 1] + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 2] + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 2] - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 2] a[4, 4] 2 2 + a[1, 3] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 3] a[4, 4] - a[1, 3] a[2, 4] a[3, 2] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[3, 2] a[4, 2] a[4, 3] 2 2 - a[1, 4] a[2, 3] a[3, 1] a[4, 2] + a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 3] a[3, 3] a[3, 4] a[4, 2] 2 2 - a[1, 4] a[2, 4] a[3, 2] a[4, 3] + a[1, 4] a[2, 4] a[3, 2] a[3, 3] a[4, 2] a[4, 3]) X[1, 3] + ( 2 a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 1] a[1, 2] a[2, 4] a[3, 2] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 2] - a[1, 1] a[1, 2] a[1, 3] a[3, 2] a[3, 4] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[3, 3] a[3, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[3, 2] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 2] - a[1, 1] a[1, 2] a[1, 4] a[3, 2] a[4, 3] a[4, 4] + a[1, 1] a[1, 2] a[1, 4] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 1] a[1, 3] a[1, 4] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[1, 4] a[3, 2] a[3, 3] a[4, 2] + a[1, 1] a[1, 3] a[1, 4] a[3, 2] a[4, 2] a[4, 4] 2 - a[1, 1] a[1, 3] a[1, 4] a[3, 4] a[4, 2] 3 3 - a[1, 2] a[2, 3] a[3, 4] a[4, 1] + a[1, 2] a[2, 4] a[3, 1] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 2] 2 + a[1, 2] a[1, 3] a[3, 1] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[3, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[1, 4] a[2, 2] a[3, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 1] 2 + a[1, 2] a[1, 4] a[3, 1] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 2] a[3, 3] a[4, 3] 2 + a[1, 2] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[3, 1] a[3, 4] a[4, 2] 2 + a[1, 2] a[1, 3] a[3, 2] a[3, 4] a[4, 1] + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[3, 2] a[4, 1] - a[1, 2] a[1, 3] a[1, 4] a[3, 1] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[1, 4] a[3, 1] a[4, 2] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[3, 2] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[1, 4] a[3, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 2] a[3, 2] a[3, 4] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 2] a[4, 4] + a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 2] - a[1, 2] a[1, 3] a[3, 3] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 2] a[1, 3] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[3, 1] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[3, 2] a[4, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[3, 2] a[3, 3] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 2] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 2] - a[1, 2] a[1, 4] a[2, 4] a[3, 2] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[3, 2] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[3, 2] a[3, 4] a[4, 3] 2 + a[1, 3] a[1, 4] a[3, 1] a[3, 2] a[4, 2] 2 2 - a[1, 3] a[1, 4] a[3, 2] a[4, 1] 2 - a[1, 3] a[2, 2] a[3, 2] a[3, 4] a[4, 2] 2 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 2] 2 2 2 2 + a[1, 3] a[3, 2] a[3, 4] a[4, 2] a[4, 4] - a[1, 3] a[3, 4] a[4, 2] 2 2 + a[1, 3] a[1, 4] a[3, 1] a[4, 2] 2 - a[1, 3] a[1, 4] a[3, 2] a[4, 1] a[4, 2] + a[1, 3] a[1, 4] a[2, 2] a[3, 2] a[3, 3] a[4, 2] - a[1, 3] a[1, 4] a[2, 2] a[3, 2] a[4, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 2] 2 - a[1, 3] a[1, 4] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[1, 4] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 4] a[2, 2] a[3, 2] a[4, 2] a[4, 3] 2 2 2 2 2 - a[1, 4] a[2, 3] a[3, 2] a[4, 2] + a[1, 4] a[3, 2] a[4, 3] 2 - a[1, 4] a[3, 2] a[3, 3] a[4, 2] a[4, 3]) X[2, 3] + X[3, 2] ( a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 3] 2 + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[4, 2] + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[4, 3] a[4, 4] 2 - a[1, 1] a[1, 2] a[1, 4] a[2, 4] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 3] + a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 2] - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[4, 2] a[4, 4] + a[1, 1] a[1, 3] a[1, 4] a[2, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 1] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 3] 2 2 2 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 1] + a[1, 2] a[2, 3] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 3] 2 2 2 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 3] a[4, 4] - a[1, 2] a[2, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[4, 2] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[4, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 3] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 3] 2 2 + a[1, 2] a[1, 4] a[2, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 3] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 2] a[4, 4] - a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 3] 3 3 + a[1, 3] a[2, 1] a[3, 4] a[4, 2] - a[1, 3] a[2, 4] a[3, 2] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 2] 2 + a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 3] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 3] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 4] a[2, 2] a[2, 3] a[4, 2] a[4, 3] + a[1, 4] a[2, 3] a[4, 2] 2 2 - a[1, 4] a[2, 3] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 3] a[4, 2] a[4, 3]) = 0 in Maple notation (-a[1,1]^2*a[1,3]*a[2,3]*a[3,4]*a[4,2]+a[1,1]^2*a[1,3]*a[2,4]*a[3,2]*a[4,3]+a[1 ,1]*a[1,2]*a[1,3]*a[2,3]*a[3,4]*a[4,1]-a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[4,3 ]-a[1,1]*a[1,2]*a[2,3]^2*a[3,4]*a[4,2]+a[1,1]*a[1,2]*a[2,3]*a[2,4]*a[3,2]*a[4,3 ]+a[1,1]*a[1,3]^2*a[2,1]*a[3,4]*a[4,2]-a[1,1]*a[1,3]^2*a[2,4]*a[3,2]*a[4,1]-a[1 ,1]*a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[4,3]+a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[4,2 ]+a[1,1]*a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,2]-a[1,1]*a[1,3]*a[2,2]*a[2,4]*a[3,2]* a[4,3]+a[1,1]*a[1,3]*a[2,3]*a[3,4]*a[4,2]*a[4,4]-a[1,1]*a[1,3]*a[2,4]*a[3,2]*a[ 4,3]*a[4,4]-a[1,1]*a[1,4]*a[2,3]*a[3,4]*a[4,2]*a[4,3]+a[1,1]*a[1,4]*a[2,4]*a[3, 2]*a[4,3]^2+a[1,2]^2*a[2,3]^2*a[3,4]*a[4,1]-a[1,2]^2*a[2,3]*a[2,4]*a[3,1]*a[4,3 ]-a[1,2]*a[1,3]^2*a[2,1]*a[3,4]*a[4,1]+a[1,2]*a[1,3]^2*a[2,4]*a[3,1]*a[4,1]+a[1 ,2]*a[1,3]*a[1,4]*a[2,1]*a[3,1]*a[4,3]-a[1,2]*a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[4,1 ]+a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[4,3]-a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]* a[4,1]+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[4,2]-a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[ 3,2]*a[4,1]+a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[2,4]*a[3, 4]*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[4,3]+a[1,2]*a[1,4]*a[2,2] *a[2,3]*a[3,1]*a[4,3]-a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a [2,3]*a[3,4]*a[4,1]*a[4,3]+a[1,2]*a[2,3]^2*a[3,4]*a[4,2]*a[4,4]-a[1,2]*a[2,3]*a [2,4]*a[3,2]*a[4,3]*a[4,4]-a[1,2]*a[2,3]*a[2,4]*a[3,4]*a[4,2]*a[4,3]+a[1,2]*a[2 ,4]^2*a[3,2]*a[4,3]^2-a[1,3]^2*a[1,4]*a[2,1]*a[3,1]*a[4,2]+a[1,3]^2*a[1,4]*a[2, 1]*a[3,2]*a[4,1]-a[1,3]^2*a[2,1]*a[2,4]*a[3,2]*a[4,2]-a[1,3]^2*a[2,1]*a[3,4]*a[ 4,2]*a[4,4]+a[1,3]^2*a[2,2]*a[2,4]*a[3,2]*a[4,1]+a[1,3]^2*a[2,4]*a[3,4]*a[4,1]* a[4,2]+a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[4,2]+a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[ 4,3]*a[4,4]+a[1,3]*a[1,4]*a[2,1]*a[3,4]*a[4,2]*a[4,3]-a[1,3]*a[1,4]*a[2,2]*a[2, 3]*a[3,1]*a[4,2]-a[1,3]*a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,4] *a[3,1]*a[4,2]*a[4,3]-a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,2]*a[4,4]+a[1,3]*a[2,2]*a [2,4]*a[3,2]*a[4,3]*a[4,4]+a[1,3]*a[2,3]*a[2,4]*a[3,4]*a[4,2]^2-a[1,3]*a[2,4]^2 *a[3,2]*a[4,2]*a[4,3]-a[1,4]^2*a[2,1]*a[3,2]*a[4,3]^2+a[1,4]^2*a[2,3]*a[3,1]*a[ 4,2]*a[4,3]+a[1,4]*a[2,2]*a[2,3]*a[3,4]*a[4,2]*a[4,3]-a[1,4]*a[2,2]*a[2,4]*a[3, 2]*a[4,3]^2-a[1,4]*a[2,3]^2*a[3,4]*a[4,2]^2+a[1,4]*a[2,3]*a[2,4]*a[3,2]*a[4,2]* a[4,3])*X[1,2]+(a[1,1]^2*a[1,2]*a[2,3]*a[3,4]*a[4,2]-a[1,1]^2*a[1,2]*a[2,4]*a[3 ,2]*a[4,3]-a[1,1]*a[1,2]^2*a[2,3]*a[3,4]*a[4,1]+a[1,1]*a[1,2]^2*a[2,4]*a[3,1]*a [4,3]-a[1,1]*a[1,2]*a[1,3]*a[2,1]*a[3,4]*a[4,2]+a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3 ,2]*a[4,1]+a[1,1]*a[1,2]*a[1,4]*a[2,1]*a[3,2]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,3 ]*a[3,1]*a[4,2]-a[1,1]*a[1,2]*a[2,3]*a[3,3]*a[3,4]*a[4,2]-a[1,1]*a[1,2]*a[2,3]* a[3,4]*a[4,2]*a[4,4]+a[1,1]*a[1,2]*a[2,4]*a[3,2]*a[3,3]*a[4,3]+a[1,1]*a[1,2]*a[ 2,4]*a[3,2]*a[4,3]*a[4,4]+a[1,1]*a[1,3]*a[2,3]*a[3,2]*a[3,4]*a[4,2]-a[1,1]*a[1, 3]*a[2,4]*a[3,2]^2*a[4,3]+a[1,1]*a[1,4]*a[2,3]*a[3,4]*a[4,2]^2-a[1,1]*a[1,4]*a[ 2,4]*a[3,2]*a[4,2]*a[4,3]+a[1,2]^2*a[1,3]*a[2,1]*a[3,4]*a[4,1]-a[1,2]^2*a[1,3]* a[2,4]*a[3,1]*a[4,1]-a[1,2]^2*a[1,4]*a[2,1]*a[3,1]*a[4,3]+a[1,2]^2*a[1,4]*a[2,3 ]*a[3,1]*a[4,1]-a[1,2]^2*a[2,3]*a[3,1]*a[3,4]*a[4,3]+a[1,2]^2*a[2,3]*a[3,3]*a[3 ,4]*a[4,1]-a[1,2]^2*a[2,4]*a[3,1]*a[4,3]*a[4,4]+a[1,2]^2*a[2,4]*a[3,4]*a[4,1]*a [4,3]+a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[3,1]*a[4,2]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[3 ,2]*a[4,1]+a[1,2]*a[1,3]*a[2,1]*a[3,2]*a[3,4]*a[4,3]+a[1,2]*a[1,3]*a[2,1]*a[3,4 ]*a[4,2]*a[4,4]+a[1,2]*a[1,3]*a[2,3]*a[3,1]*a[3,4]*a[4,2]-a[1,2]*a[1,3]*a[2,3]* a[3,2]*a[3,4]*a[4,1]-a[1,2]*a[1,3]*a[2,4]*a[3,2]*a[3,3]*a[4,1]-a[1,2]*a[1,3]*a[ 2,4]*a[3,4]*a[4,1]*a[4,2]-a[1,2]*a[1,4]*a[2,1]*a[3,2]*a[3,3]*a[4,3]-a[1,2]*a[1, 4]*a[2,1]*a[3,4]*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,3]+a[1,2] *a[1,4]*a[2,3]*a[3,1]*a[4,2]*a[4,4]+a[1,2]*a[1,4]*a[2,4]*a[3,1]*a[4,2]*a[4,3]-a [1,2]*a[1,4]*a[2,4]*a[3,2]*a[4,1]*a[4,3]+a[1,2]*a[2,3]*a[3,3]*a[3,4]*a[4,2]*a[4 ,4]-a[1,2]*a[2,3]*a[3,4]^2*a[4,2]*a[4,3]-a[1,2]*a[2,4]*a[3,2]*a[3,3]*a[4,3]*a[4 ,4]+a[1,2]*a[2,4]*a[3,2]*a[3,4]*a[4,3]^2-a[1,3]^2*a[2,1]*a[3,2]*a[3,4]*a[4,2]+a [1,3]^2*a[2,4]*a[3,2]^2*a[4,1]+a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[3,3]*a[4,2]-a[1,3] *a[1,4]*a[2,1]*a[3,2]*a[4,2]*a[4,4]-a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,2]+a [1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,1]*a[4,2]-a[1,3]*a[2,3]*a[3,2]*a[3,4]*a[4,2]*a[4 ,4]+a[1,3]*a[2,3]*a[3,4]^2*a[4,2]^2+a[1,3]*a[2,4]*a[3,2]^2*a[4,3]*a[4,4]-a[1,3] *a[2,4]*a[3,2]*a[3,4]*a[4,2]*a[4,3]+a[1,4]^2*a[2,1]*a[3,2]*a[4,2]*a[4,3]-a[1,4] ^2*a[2,3]*a[3,1]*a[4,2]^2+a[1,4]*a[2,3]*a[3,2]*a[3,4]*a[4,2]*a[4,3]-a[1,4]*a[2, 3]*a[3,3]*a[3,4]*a[4,2]^2-a[1,4]*a[2,4]*a[3,2]^2*a[4,3]^2+a[1,4]*a[2,4]*a[3,2]* a[3,3]*a[4,2]*a[4,3])*X[1,3]+(a[1,1]*a[1,2]^2*a[2,3]*a[3,4]*a[4,2]-a[1,1]*a[1,2 ]^2*a[2,4]*a[3,2]*a[4,3]-a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[3,4]*a[4,2]+a[1,1]*a[1,2 ]*a[1,3]*a[2,4]*a[3,2]*a[4,2]-a[1,1]*a[1,2]*a[1,3]*a[3,2]*a[3,4]*a[4,3]+a[1,1]* a[1,2]*a[1,3]*a[3,3]*a[3,4]*a[4,2]+a[1,1]*a[1,2]*a[1,4]*a[2,2]*a[3,2]*a[4,3]-a[ 1,1]*a[1,2]*a[1,4]*a[2,3]*a[3,2]*a[4,2]-a[1,1]*a[1,2]*a[1,4]*a[3,2]*a[4,3]*a[4, 4]+a[1,1]*a[1,2]*a[1,4]*a[3,4]*a[4,2]*a[4,3]+a[1,1]*a[1,3]*a[1,4]*a[3,2]^2*a[4, 3]-a[1,1]*a[1,3]*a[1,4]*a[3,2]*a[3,3]*a[4,2]+a[1,1]*a[1,3]*a[1,4]*a[3,2]*a[4,2] *a[4,4]-a[1,1]*a[1,3]*a[1,4]*a[3,4]*a[4,2]^2-a[1,2]^3*a[2,3]*a[3,4]*a[4,1]+a[1, 2]^3*a[2,4]*a[3,1]*a[4,3]+a[1,2]^2*a[1,3]*a[2,2]*a[3,4]*a[4,1]-a[1,2]^2*a[1,3]* a[2,4]*a[3,1]*a[4,2]+a[1,2]^2*a[1,3]*a[3,1]*a[3,4]*a[4,3]-a[1,2]^2*a[1,3]*a[3,3 ]*a[3,4]*a[4,1]-a[1,2]^2*a[1,4]*a[2,2]*a[3,1]*a[4,3]+a[1,2]^2*a[1,4]*a[2,3]*a[3 ,2]*a[4,1]+a[1,2]^2*a[1,4]*a[3,1]*a[4,3]*a[4,4]-a[1,2]^2*a[1,4]*a[3,4]*a[4,1]*a [4,3]-a[1,2]^2*a[2,3]*a[3,2]*a[3,4]*a[4,3]-a[1,2]^2*a[2,3]*a[3,4]*a[4,2]*a[4,4] +a[1,2]^2*a[2,4]*a[3,2]*a[3,3]*a[4,3]+a[1,2]^2*a[2,4]*a[3,4]*a[4,2]*a[4,3]-a[1, 2]*a[1,3]^2*a[3,1]*a[3,4]*a[4,2]+a[1,2]*a[1,3]^2*a[3,2]*a[3,4]*a[4,1]+a[1,2]*a[ 1,3]*a[1,4]*a[2,2]*a[3,1]*a[4,2]-a[1,2]*a[1,3]*a[1,4]*a[2,2]*a[3,2]*a[4,1]-a[1, 2]*a[1,3]*a[1,4]*a[3,1]*a[3,2]*a[4,3]-a[1,2]*a[1,3]*a[1,4]*a[3,1]*a[4,2]*a[4,4] +a[1,2]*a[1,3]*a[1,4]*a[3,2]*a[3,3]*a[4,1]+a[1,2]*a[1,3]*a[1,4]*a[3,4]*a[4,1]*a [4,2]+a[1,2]*a[1,3]*a[2,2]*a[3,2]*a[3,4]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[3,4]*a[4 ,2]*a[4,4]+a[1,2]*a[1,3]*a[2,3]*a[3,2]*a[3,4]*a[4,2]-a[1,2]*a[1,3]*a[2,4]*a[3,2 ]^2*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[3,2]*a[3,3]*a[4,2]-a[1,2]*a[1,3]*a[2,4]*a[3,4 ]*a[4,2]^2-a[1,2]*a[1,3]*a[3,3]*a[3,4]*a[4,2]*a[4,4]+a[1,2]*a[1,3]*a[3,4]^2*a[4 ,2]*a[4,3]-a[1,2]*a[1,4]^2*a[3,1]*a[4,2]*a[4,3]+a[1,2]*a[1,4]^2*a[3,2]*a[4,1]*a [4,3]-a[1,2]*a[1,4]*a[2,2]*a[3,2]*a[3,3]*a[4,3]-a[1,2]*a[1,4]*a[2,2]*a[3,4]*a[4 ,2]*a[4,3]+a[1,2]*a[1,4]*a[2,3]*a[3,2]^2*a[4,3]+a[1,2]*a[1,4]*a[2,3]*a[3,2]*a[4 ,2]*a[4,4]+a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,2]^2-a[1,2]*a[1,4]*a[2,4]*a[3,2]*a[4 ,2]*a[4,3]+a[1,2]*a[1,4]*a[3,2]*a[3,3]*a[4,3]*a[4,4]-a[1,2]*a[1,4]*a[3,2]*a[3,4 ]*a[4,3]^2+a[1,3]^2*a[1,4]*a[3,1]*a[3,2]*a[4,2]-a[1,3]^2*a[1,4]*a[3,2]^2*a[4,1] -a[1,3]^2*a[2,2]*a[3,2]*a[3,4]*a[4,2]+a[1,3]^2*a[2,4]*a[3,2]^2*a[4,2]+a[1,3]^2* a[3,2]*a[3,4]*a[4,2]*a[4,4]-a[1,3]^2*a[3,4]^2*a[4,2]^2+a[1,3]*a[1,4]^2*a[3,1]*a [4,2]^2-a[1,3]*a[1,4]^2*a[3,2]*a[4,1]*a[4,2]+a[1,3]*a[1,4]*a[2,2]*a[3,2]*a[3,3] *a[4,2]-a[1,3]*a[1,4]*a[2,2]*a[3,2]*a[4,2]*a[4,4]-a[1,3]*a[1,4]*a[2,3]*a[3,2]^2 *a[4,2]+a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,2]^2-a[1,3]*a[1,4]*a[3,2]^2*a[4,3]*a[4, 4]+a[1,3]*a[1,4]*a[3,3]*a[3,4]*a[4,2]^2+a[1,4]^2*a[2,2]*a[3,2]*a[4,2]*a[4,3]-a[ 1,4]^2*a[2,3]*a[3,2]*a[4,2]^2+a[1,4]^2*a[3,2]^2*a[4,3]^2-a[1,4]^2*a[3,2]*a[3,3] *a[4,2]*a[4,3])*X[2,3]+X[3,2]*(a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,3]-a[1,1] *a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[4,2]+a[1,1]*a[1,2]*a[1,3]*a[2,3]*a[3,4]*a[4,3]-a [1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[4 ,3]+a[1,1]*a[1,2]*a[1,4]*a[2,3]^2*a[4,2]+a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[4,3]*a[4 ,4]-a[1,1]*a[1,2]*a[1,4]*a[2,4]*a[4,3]^2-a[1,1]*a[1,3]^2*a[2,3]*a[3,4]*a[4,2]+a [1,1]*a[1,3]^2*a[2,4]*a[3,2]*a[4,3]-a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,3]+a [1,1]*a[1,3]*a[1,4]*a[2,3]*a[3,3]*a[4,2]-a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[4,2]*a[4 ,4]+a[1,1]*a[1,3]*a[1,4]*a[2,4]*a[4,2]*a[4,3]-a[1,2]^2*a[1,3]*a[2,1]*a[2,4]*a[4 ,3]+a[1,2]^2*a[1,3]*a[2,3]*a[2,4]*a[4,1]+a[1,2]^2*a[1,4]*a[2,1]*a[2,3]*a[4,3]-a [1,2]^2*a[1,4]*a[2,3]^2*a[4,1]+a[1,2]^2*a[2,3]^2*a[3,4]*a[4,3]-a[1,2]^2*a[2,3]* a[2,4]*a[3,3]*a[4,3]+a[1,2]^2*a[2,3]*a[2,4]*a[4,3]*a[4,4]-a[1,2]^2*a[2,4]^2*a[4 ,3]^2+a[1,2]*a[1,3]^2*a[2,1]*a[2,4]*a[4,2]-a[1,2]*a[1,3]^2*a[2,1]*a[3,4]*a[4,3] -a[1,2]*a[1,3]^2*a[2,2]*a[2,4]*a[4,1]+a[1,2]*a[1,3]^2*a[2,4]*a[3,3]*a[4,1]-a[1, 2]*a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[4,2]+a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,3] -a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[4,3]*a[4,4]+a[1,2]*a[1,3]*a[1,4]*a[2,2]*a[2,3]*a [4,1]-a[1,2]*a[1,3]*a[1,4]*a[2,3]*a[3,3]*a[4,1]+a[1,2]*a[1,3]*a[1,4]*a[2,4]*a[4 ,1]*a[4,3]-a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,3]-a[1,2]*a[1,3]*a[2,2]*a[2,4 ]*a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[2,3]^2*a[3,4]*a[4,2]+a[1,2]*a[1,3]*a[2,3]*a[2,4 ]*a[3,2]*a[4,3]+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,3]*a[4,2]+a[1,2]*a[1,3]*a[2,4]^ 2*a[4,2]*a[4,3]+a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[2,4]* a[3,4]*a[4,3]^2+a[1,2]*a[1,4]^2*a[2,1]*a[4,3]^2-a[1,2]*a[1,4]^2*a[2,3]*a[4,1]*a [4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,3]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,4]*a[4 ,3]^2-a[1,2]*a[1,4]*a[2,3]^2*a[3,2]*a[4,3]-a[1,2]*a[1,4]*a[2,3]^2*a[4,2]*a[4,4] -a[1,2]*a[1,4]*a[2,3]*a[3,3]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,3]^2 +a[1,3]^3*a[2,1]*a[3,4]*a[4,2]-a[1,3]^3*a[2,4]*a[3,2]*a[4,1]-a[1,3]^2*a[1,4]*a[ 2,1]*a[3,3]*a[4,2]+a[1,3]^2*a[1,4]*a[2,1]*a[4,2]*a[4,4]+a[1,3]^2*a[1,4]*a[2,3]* a[3,2]*a[4,1]-a[1,3]^2*a[1,4]*a[2,4]*a[4,1]*a[4,2]+a[1,3]^2*a[2,2]*a[2,3]*a[3,4 ]*a[4,2]-a[1,3]^2*a[2,3]*a[2,4]*a[3,2]*a[4,2]-a[1,3]^2*a[2,4]*a[3,2]*a[4,3]*a[4 ,4]+a[1,3]^2*a[2,4]*a[3,4]*a[4,2]*a[4,3]-a[1,3]*a[1,4]^2*a[2,1]*a[4,2]*a[4,3]+a [1,3]*a[1,4]^2*a[2,3]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[3,3]*a[4,2]+a [1,3]*a[1,4]*a[2,2]*a[2,3]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,3]^2*a[3,2]*a[4,2]-a [1,3]*a[1,4]*a[2,3]*a[2,4]*a[4,2]^2+a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,3]*a[4,4]-a [1,3]*a[1,4]*a[2,3]*a[3,4]*a[4,2]*a[4,3]+a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,3]^2-a [1,3]*a[1,4]*a[2,4]*a[3,3]*a[4,2]*a[4,3]-a[1,4]^2*a[2,2]*a[2,3]*a[4,2]*a[4,3]+a [1,4]^2*a[2,3]^2*a[4,2]^2-a[1,4]^2*a[2,3]*a[3,2]*a[4,3]^2+a[1,4]^2*a[2,3]*a[3,3 ]*a[4,2]*a[4,3]) = 0 ------------------------------------ Theorem number, 13, : let, {X[1, 2], X[1, 3], X[2, 3], X[3, 4]}, be the entri\ es of an ARBITRARY power of the general matrix M, we always have the lin\ ear relation 2 (a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[3, 4] 2 - a[1, 1] a[1, 3] a[2, 3] a[2, 4] a[3, 2] 2 - a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 4] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] 2 + a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 4] 2 - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 2] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 4] + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 4] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 1] a[2, 2] a[3, 4] 2 + a[1, 1] a[1, 3] a[2, 1] a[2, 4] a[3, 2] 2 + a[1, 1] a[1, 3] a[2, 1] a[3, 4] a[4, 4] 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 4] a[4, 1] + a[1, 1] a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 2] - a[1, 1] a[1, 3] a[1, 4] a[2, 1] a[3, 4] a[4, 3] - a[1, 1] a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 1] + a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 4] + a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 1] - a[1, 1] a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[3, 4] + a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[2, 4] a[3, 2] - a[1, 1] a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 3] + a[1, 1] a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 4] 2 + a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 4] - a[1, 1] a[1, 3] a[2, 4] a[3, 4] a[4, 3] a[4, 4] + a[1, 1] a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 3] - a[1, 1] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 3] - a[1, 1] a[1, 4] a[2, 3] a[3, 4] a[4, 3] a[4, 4] 2 + a[1, 1] a[1, 4] a[2, 4] a[3, 4] a[4, 3] 2 2 2 2 - a[1, 2] a[2, 1] a[2, 3] a[3, 4] + a[1, 2] a[2, 3] a[2, 4] a[3, 1] 2 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 4] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 1] + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[2, 3] a[3, 4] + 2 a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 4] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[2, 4] a[3, 1] - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 4] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] - 2 a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 2] a[2, 3] a[3, 4] a[4, 4] + a[1, 2] a[2, 2] a[2, 3] a[2, 4] a[3, 4] a[4, 3] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 4] 2 2 + a[1, 2] a[2, 3] a[3, 4] a[4, 4] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 3] - 2 a[1, 2] a[2, 3] a[2, 4] a[3, 4] a[4, 3] a[4, 4] 2 2 2 2 + a[1, 2] a[2, 4] a[3, 4] a[4, 3] - a[1, 3] a[1, 4] a[2, 1] a[3, 2] 2 + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 1] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 1] 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 4] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 4] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 4] a[4, 2] 2 2 2 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 4] + a[1, 3] a[2, 4] a[3, 2] a[4, 1] 2 + a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 1] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[2, 3] a[3, 2] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 4] a[4, 3] + a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 4] a[4, 2] + 2 a[1, 3] a[1, 4] a[2, 1] a[3, 4] a[4, 3] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 1] - a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 4] + a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[3, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 1] - a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 4] - a[1, 3] a[1, 4] a[2, 4] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 4] - a[1, 3] a[2, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 4] - a[1, 3] a[2, 2] a[2, 3] a[2, 4] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 4] + a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 2] + a[1, 3] a[2, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 4] 2 - a[1, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 3] 2 2 2 2 - a[1, 4] a[2, 1] a[3, 4] a[4, 3] - a[1, 4] a[2, 3] a[3, 1] a[4, 2] 2 + a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 3] 2 + a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 2] + a[1, 4] a[2, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 3] + a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 3] a[4, 4] 2 - a[1, 4] a[2, 2] a[2, 4] a[3, 4] a[4, 3] 2 - a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 2] 2 - a[1, 4] a[2, 3] a[3, 4] a[4, 2] a[4, 4] + a[1, 4] a[2, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 3]) X[1, 2] + ( 2 -a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 4] 2 + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 2] 2 + a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 4] 2 - a[1, 1] a[1, 2] a[2, 4] a[3, 4] a[4, 3] 2 + a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[3, 4] 2 - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 1] + a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 4] - a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 2] - a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 1] - a[1, 1] a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] + a[1, 1] a[1, 2] a[1, 4] a[2, 1] a[3, 4] a[4, 3] + a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 4] - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 1] + a[1, 1] a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[4, 3] + a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 3] a[3, 4] + a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 4] a[4, 4] - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[3, 3] - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 4] - a[1, 1] a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 4] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 4] + a[1, 1] a[1, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 3] + a[1, 1] a[1, 2] a[2, 4] a[3, 4] a[4, 3] a[4, 4] - a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[3, 2] a[3, 4] 2 + a[1, 1] a[1, 3] a[2, 3] a[2, 4] a[3, 2] + a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 4] - a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[3, 4] a[4, 3] - a[1, 1] a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 2] + a[1, 1] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 2] + a[1, 1] a[1, 4] a[2, 3] a[3, 4] a[4, 2] a[4, 4] - a[1, 1] a[1, 4] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 4] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 1] 2 - a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[3, 4] 2 - a[1, 2] a[2, 1] a[2, 4] a[3, 4] a[4, 3] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[3, 3] 2 2 + a[1, 2] a[2, 4] a[3, 1] a[4, 3] 2 + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 2] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 1] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[4, 4] - a[1, 2] a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 1] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 4] + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[3, 4] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[3, 2] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 1] - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 1] a[3, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 1] + a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[3, 4] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[3, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 4] a[4, 2] - a[1, 2] a[1, 4] a[2, 1] a[3, 3] a[3, 4] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[3, 4] a[4, 3] a[4, 4] - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[3, 3] - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 1] - a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 1] a[4, 2] + a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 1] + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 4] - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 3] + a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[3, 4] a[4, 1] + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 4] - a[1, 2] a[2, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 4] 2 + a[1, 2] a[2, 2] a[2, 3] a[3, 4] a[4, 3] + a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 4] - a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[3, 4] a[4, 3] 2 + a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 3] a[4, 4] - a[1, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 3] a[4, 4] 2 2 2 2 + a[1, 2] a[2, 4] a[3, 4] a[4, 3] - a[1, 3] a[2, 1] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 4] a[3, 2] a[3, 4] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 2] + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[3, 4] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 4] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[3, 2] - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 2] - a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 1] + a[1, 3] a[1, 4] a[2, 4] a[3, 4] a[4, 1] a[4, 2] + a[1, 3] a[2, 2] a[2, 3] a[3, 2] a[3, 4] a[4, 4] 2 - a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 4] + a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 4] 2 + a[1, 3] a[2, 3] a[3, 4] a[4, 2] a[4, 4] + a[1, 3] a[2, 4] a[3, 2] a[3, 4] a[4, 3] a[4, 4] 2 - a[1, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 2] 2 + a[1, 4] a[2, 1] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 2] 2 + a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] 2 - a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] 2 - a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 4] a[2, 2] a[2, 3] a[3, 2] a[3, 4] a[4, 3] + a[1, 4] a[2, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 3] - a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 2] + a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 3] a[4, 4] - a[1, 4] a[2, 3] a[3, 3] a[3, 4] a[4, 2] a[4, 4] 2 - a[1, 4] a[2, 4] a[3, 2] a[3, 4] a[4, 3] + a[1, 4] a[2, 4] a[3, 3] a[3, 4] a[4, 2] a[4, 3]) X[1, 3] + ( 2 -a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 4] 2 + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 2] 2 + a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 4] 2 - a[1, 1] a[1, 2] a[2, 4] a[3, 4] a[4, 3] 2 + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[3, 4] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 2] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[3, 4] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[3, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[3, 3] a[3, 4] a[4, 4] 2 - a[1, 1] a[1, 2] a[1, 3] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 4] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 2] a[3, 2] a[3, 4] 2 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 2] 2 - a[1, 1] a[1, 3] a[3, 2] a[3, 4] a[4, 4] 2 2 + a[1, 1] a[1, 3] a[3, 4] a[4, 2] + a[1, 1] a[1, 3] a[1, 4] a[2, 2] a[3, 4] a[4, 2] - a[1, 1] a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 2] + a[1, 1] a[1, 3] a[1, 4] a[3, 2] a[3, 4] a[4, 3] - a[1, 1] a[1, 3] a[1, 4] a[3, 3] a[3, 4] a[4, 2] 3 3 + a[1, 2] a[2, 1] a[2, 3] a[3, 4] - a[1, 2] a[2, 3] a[2, 4] a[3, 1] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 4] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[3, 4] 2 + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 1] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 3] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] 2 + a[1, 2] a[1, 4] a[2, 1] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 4] 2 + a[1, 2] a[2, 2] a[2, 3] a[3, 4] a[4, 4] 2 - a[1, 2] a[2, 2] a[2, 4] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 4] 2 2 2 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 3] - a[1, 2] a[2, 3] a[3, 4] a[4, 4] 2 2 + a[1, 2] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 3] 2 + a[1, 2] a[2, 4] a[3, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[3, 4] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 2] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 2] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 4] a[4, 2] 2 - a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[3, 1] + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[3, 1] a[3, 3] + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[3, 1] a[4, 4] - a[1, 2] a[1, 3] a[1, 4] a[3, 1] a[3, 3] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[3, 1] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 2] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[3, 4] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 2] - a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 4] - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 2] - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 4] 2 - a[1, 2] a[1, 3] a[3, 3] a[3, 4] a[4, 4] 2 + a[1, 2] a[1, 3] a[3, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 2] 2 + a[1, 2] a[1, 4] a[2, 2] a[3, 4] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 2] - a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[3, 3] a[3, 4] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[3, 4] a[4, 3] a[4, 4] + a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 2] + a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 3] + 2 a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 2] a[4, 4] - a[1, 2] a[1, 4] a[2, 4] a[3, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[3, 3] a[3, 4] a[4, 3] a[4, 4] 2 2 2 2 - a[1, 2] a[1, 4] a[3, 4] a[4, 3] + a[1, 3] a[1, 4] a[2, 1] a[3, 2] 2 - a[1, 3] a[1, 4] a[2, 2] a[3, 1] a[3, 2] 2 + a[1, 3] a[1, 4] a[3, 1] a[3, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[3, 1] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 2] a[3, 2] a[3, 4] a[4, 4] 2 2 2 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 4] + a[1, 3] a[3, 2] a[3, 4] a[4, 4] 2 2 - a[1, 3] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 2] a[3, 1] a[4, 2] 2 - a[1, 3] a[1, 4] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[3, 1] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 2] a[3, 2] a[3, 4] a[4, 3] - a[1, 3] a[1, 4] a[2, 2] a[3, 4] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[3, 3] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 4] a[3, 4] a[4, 2] - 2 a[1, 3] a[1, 4] a[3, 2] a[3, 4] a[4, 3] a[4, 4] + a[1, 3] a[1, 4] a[3, 3] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 2] a[3, 4] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 4] a[2, 3] a[3, 4] a[4, 2] + a[1, 4] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 4] a[3, 3] a[3, 4] a[4, 2] a[4, 3]) X[2, 3] + X[3, 4] ( a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 3] 2 + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[4, 2] + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[4, 3] a[4, 4] 2 - a[1, 1] a[1, 2] a[1, 4] a[2, 4] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 3] + a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 2] - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[4, 2] a[4, 4] + a[1, 1] a[1, 3] a[1, 4] a[2, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 1] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 3] 2 2 2 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 1] + a[1, 2] a[2, 3] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 3] 2 2 2 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 3] a[4, 4] - a[1, 2] a[2, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[4, 2] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[4, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 3] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 3] 2 2 + a[1, 2] a[1, 4] a[2, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 3] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 2] a[4, 4] - a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 3] 3 3 + a[1, 3] a[2, 1] a[3, 4] a[4, 2] - a[1, 3] a[2, 4] a[3, 2] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 2] 2 + a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 3] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 3] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 4] a[2, 2] a[2, 3] a[4, 2] a[4, 3] + a[1, 4] a[2, 3] a[4, 2] 2 2 - a[1, 4] a[2, 3] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 3] a[4, 2] a[4, 3]) = 0 in Maple notation (a[1,1]^2*a[1,3]*a[2,2]*a[2,3]*a[3,4]-a[1,1]^2*a[1,3]*a[2,3]*a[2,4]*a[3,2]-a[1, 1]^2*a[1,3]*a[2,3]*a[3,4]*a[4,4]+a[1,1]^2*a[1,3]*a[2,4]*a[3,4]*a[4,3]-a[1,1]*a[ 1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,4]+a[1,1]*a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,1]+a[1, 1]*a[1,2]*a[2,2]*a[2,3]^2*a[3,4]-a[1,1]*a[1,2]*a[2,3]^2*a[2,4]*a[3,2]-a[1,1]*a[ 1,2]*a[2,3]^2*a[3,4]*a[4,4]+a[1,1]*a[1,2]*a[2,3]*a[2,4]*a[3,4]*a[4,3]-a[1,1]*a[ 1,3]^2*a[2,1]*a[2,2]*a[3,4]+a[1,1]*a[1,3]^2*a[2,1]*a[2,4]*a[3,2]+a[1,1]*a[1,3]^ 2*a[2,1]*a[3,4]*a[4,4]-a[1,1]*a[1,3]^2*a[2,4]*a[3,4]*a[4,1]+a[1,1]*a[1,3]*a[1,4 ]*a[2,1]*a[2,3]*a[3,2]-a[1,1]*a[1,3]*a[1,4]*a[2,1]*a[3,4]*a[4,3]-a[1,1]*a[1,3]* a[1,4]*a[2,2]*a[2,3]*a[3,1]+a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[4,4]+a[1,1]*a[ 1,3]*a[1,4]*a[2,3]*a[3,4]*a[4,1]-a[1,1]*a[1,3]*a[1,4]*a[2,4]*a[3,1]*a[4,3]-a[1, 1]*a[1,3]*a[2,2]^2*a[2,3]*a[3,4]+a[1,1]*a[1,3]*a[2,2]*a[2,3]*a[2,4]*a[3,2]-a[1, 1]*a[1,3]*a[2,2]*a[2,4]*a[3,4]*a[4,3]+a[1,1]*a[1,3]*a[2,3]*a[2,4]*a[3,2]*a[4,4] +a[1,1]*a[1,3]*a[2,3]*a[3,4]*a[4,4]^2-a[1,1]*a[1,3]*a[2,4]*a[3,4]*a[4,3]*a[4,4] +a[1,1]*a[1,4]*a[2,2]*a[2,3]*a[3,4]*a[4,3]-a[1,1]*a[1,4]*a[2,3]*a[2,4]*a[3,2]*a [4,3]-a[1,1]*a[1,4]*a[2,3]*a[3,4]*a[4,3]*a[4,4]+a[1,1]*a[1,4]*a[2,4]*a[3,4]*a[4 ,3]^2-a[1,2]^2*a[2,1]*a[2,3]^2*a[3,4]+a[1,2]^2*a[2,3]^2*a[2,4]*a[3,1]+a[1,2]*a[ 1,3]^2*a[2,1]^2*a[3,4]-a[1,2]*a[1,3]^2*a[2,1]*a[2,4]*a[3,1]+a[1,2]*a[1,3]*a[2,1 ]*a[2,2]*a[2,3]*a[3,4]+2*a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,4]*a[4,3]-a[1,2]*a[1,3 ]*a[2,2]*a[2,3]*a[2,4]*a[3,1]-a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,4]*a[4,1]-a[1,2]* a[1,3]*a[2,4]^2*a[3,1]*a[4,3]+a[1,2]*a[1,4]*a[2,1]*a[2,3]^2*a[3,2]-2*a[1,2]*a[1 ,4]*a[2,1]*a[2,3]*a[3,4]*a[4,3]-a[1,2]*a[1,4]*a[2,2]*a[2,3]^2*a[3,1]+a[1,2]*a[1 ,4]*a[2,3]^2*a[3,1]*a[4,4]+a[1,2]*a[1,4]*a[2,3]^2*a[3,4]*a[4,1]-a[1,2]*a[2,2]*a [2,3]^2*a[3,4]*a[4,4]+a[1,2]*a[2,2]*a[2,3]*a[2,4]*a[3,4]*a[4,3]+a[1,2]*a[2,3]^2 *a[2,4]*a[3,2]*a[4,4]+a[1,2]*a[2,3]^2*a[3,4]*a[4,4]^2-a[1,2]*a[2,3]*a[2,4]^2*a[ 3,2]*a[4,3]-2*a[1,2]*a[2,3]*a[2,4]*a[3,4]*a[4,3]*a[4,4]+a[1,2]*a[2,4]^2*a[3,4]* a[4,3]^2-a[1,3]^2*a[1,4]*a[2,1]^2*a[3,2]+a[1,3]^2*a[1,4]*a[2,1]*a[2,2]*a[3,1]-a [1,3]^2*a[1,4]*a[2,1]*a[3,1]*a[4,4]+a[1,3]^2*a[1,4]*a[2,4]*a[3,1]*a[4,1]+a[1,3] ^2*a[2,1]*a[2,2]*a[3,4]*a[4,4]-a[1,3]^2*a[2,1]*a[2,4]*a[3,2]*a[4,4]-a[1,3]^2*a[ 2,1]*a[2,4]*a[3,4]*a[4,2]-a[1,3]^2*a[2,1]*a[3,4]*a[4,4]^2+a[1,3]^2*a[2,4]^2*a[3 ,2]*a[4,1]+a[1,3]^2*a[2,4]*a[3,4]*a[4,1]*a[4,4]+a[1,3]*a[1,4]^2*a[2,1]*a[3,1]*a [4,3]-a[1,3]*a[1,4]^2*a[2,3]*a[3,1]*a[4,1]-a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[2,3]*a [3,2]-a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[3,4]*a[4,3]+a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[3 ,4]*a[4,2]+2*a[1,3]*a[1,4]*a[2,1]*a[3,4]*a[4,3]*a[4,4]+a[1,3]*a[1,4]*a[2,2]^2*a [2,3]*a[3,1]-a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[3,1]*a[4,4]+a[1,3]*a[1,4]*a[2,2]*a[2 ,4]*a[3,1]*a[4,3]+a[1,3]*a[1,4]*a[2,3]*a[2,4]*a[3,1]*a[4,2]-a[1,3]*a[1,4]*a[2,3 ]*a[2,4]*a[3,2]*a[4,1]-a[1,3]*a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,4]-a[1,3]*a[1,4]* a[2,4]*a[3,4]*a[4,1]*a[4,3]+a[1,3]*a[2,2]^2*a[2,3]*a[3,4]*a[4,4]-a[1,3]*a[2,2]* a[2,3]*a[2,4]*a[3,2]*a[4,4]-a[1,3]*a[2,2]*a[2,3]*a[2,4]*a[3,4]*a[4,2]-a[1,3]*a[ 2,2]*a[2,3]*a[3,4]*a[4,4]^2+a[1,3]*a[2,2]*a[2,4]*a[3,4]*a[4,3]*a[4,4]+a[1,3]*a[ 2,3]*a[2,4]^2*a[3,2]*a[4,2]+a[1,3]*a[2,3]*a[2,4]*a[3,4]*a[4,2]*a[4,4]-a[1,3]*a[ 2,4]^2*a[3,4]*a[4,2]*a[4,3]+a[1,4]^2*a[2,1]*a[2,3]*a[3,2]*a[4,3]-a[1,4]^2*a[2,1 ]*a[3,4]*a[4,3]^2-a[1,4]^2*a[2,3]^2*a[3,1]*a[4,2]+a[1,4]^2*a[2,3]*a[3,4]*a[4,1] *a[4,3]-a[1,4]*a[2,2]^2*a[2,3]*a[3,4]*a[4,3]+a[1,4]*a[2,2]*a[2,3]^2*a[3,4]*a[4, 2]+a[1,4]*a[2,2]*a[2,3]*a[2,4]*a[3,2]*a[4,3]+a[1,4]*a[2,2]*a[2,3]*a[3,4]*a[4,3] *a[4,4]-a[1,4]*a[2,2]*a[2,4]*a[3,4]*a[4,3]^2-a[1,4]*a[2,3]^2*a[2,4]*a[3,2]*a[4, 2]-a[1,4]*a[2,3]^2*a[3,4]*a[4,2]*a[4,4]+a[1,4]*a[2,3]*a[2,4]*a[3,4]*a[4,2]*a[4, 3])*X[1,2]+(-a[1,1]^2*a[1,2]*a[2,2]*a[2,3]*a[3,4]+a[1,1]^2*a[1,2]*a[2,3]*a[2,4] *a[3,2]+a[1,1]^2*a[1,2]*a[2,3]*a[3,4]*a[4,4]-a[1,1]^2*a[1,2]*a[2,4]*a[3,4]*a[4, 3]+a[1,1]*a[1,2]^2*a[2,1]*a[2,3]*a[3,4]-a[1,1]*a[1,2]^2*a[2,3]*a[2,4]*a[3,1]+a[ 1,1]*a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[3,4]-a[1,1]*a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3, 2]-a[1,1]*a[1,2]*a[1,3]*a[2,1]*a[3,4]*a[4,4]+a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,4] *a[4,1]-a[1,1]*a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,2]+a[1,1]*a[1,2]*a[1,4]*a[2,1]*a [3,4]*a[4,3]+a[1,1]*a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,1]-a[1,1]*a[1,2]*a[1,4]*a[2 ,3]*a[3,1]*a[4,4]-a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,1]+a[1,1]*a[1,2]*a[1,4 ]*a[2,4]*a[3,1]*a[4,3]+a[1,1]*a[1,2]*a[2,2]*a[2,3]*a[3,3]*a[3,4]+a[1,1]*a[1,2]* a[2,2]*a[2,3]*a[3,4]*a[4,4]-a[1,1]*a[1,2]*a[2,3]*a[2,4]*a[3,2]*a[3,3]-a[1,1]*a[ 1,2]*a[2,3]*a[2,4]*a[3,2]*a[4,4]-a[1,1]*a[1,2]*a[2,3]*a[3,3]*a[3,4]*a[4,4]-a[1, 1]*a[1,2]*a[2,3]*a[3,4]*a[4,4]^2+a[1,1]*a[1,2]*a[2,4]*a[3,3]*a[3,4]*a[4,3]+a[1, 1]*a[1,2]*a[2,4]*a[3,4]*a[4,3]*a[4,4]-a[1,1]*a[1,3]*a[2,2]*a[2,3]*a[3,2]*a[3,4] +a[1,1]*a[1,3]*a[2,3]*a[2,4]*a[3,2]^2+a[1,1]*a[1,3]*a[2,3]*a[3,2]*a[3,4]*a[4,4] -a[1,1]*a[1,3]*a[2,4]*a[3,2]*a[3,4]*a[4,3]-a[1,1]*a[1,4]*a[2,2]*a[2,3]*a[3,4]*a [4,2]+a[1,1]*a[1,4]*a[2,3]*a[2,4]*a[3,2]*a[4,2]+a[1,1]*a[1,4]*a[2,3]*a[3,4]*a[4 ,2]*a[4,4]-a[1,1]*a[1,4]*a[2,4]*a[3,4]*a[4,2]*a[4,3]-a[1,2]^2*a[1,3]*a[2,1]^2*a [3,4]+a[1,2]^2*a[1,3]*a[2,1]*a[2,4]*a[3,1]-a[1,2]^2*a[2,1]*a[2,3]*a[3,3]*a[3,4] -a[1,2]^2*a[2,1]*a[2,4]*a[3,4]*a[4,3]+a[1,2]^2*a[2,3]*a[2,4]*a[3,1]*a[3,3]+a[1, 2]^2*a[2,4]^2*a[3,1]*a[4,3]+a[1,2]*a[1,3]*a[1,4]*a[2,1]^2*a[3,2]-a[1,2]*a[1,3]* a[1,4]*a[2,1]*a[2,2]*a[3,1]+a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[3,1]*a[4,4]-a[1,2]*a[ 1,3]*a[1,4]*a[2,4]*a[3,1]*a[4,1]-a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[3,4]*a[4,4]+a[1, 2]*a[1,3]*a[2,1]*a[2,3]*a[3,2]*a[3,4]+a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[4,4] +a[1,2]*a[1,3]*a[2,1]*a[3,4]^2*a[4,3]+a[1,2]*a[1,3]*a[2,1]*a[3,4]*a[4,4]^2+a[1, 2]*a[1,3]*a[2,2]*a[2,4]*a[3,4]*a[4,1]-a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[3,2] -a[1,2]*a[1,3]*a[2,4]^2*a[3,2]*a[4,1]-a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[3,4]*a[4,1] -a[1,2]*a[1,3]*a[2,4]*a[3,4]*a[4,1]*a[4,4]-a[1,2]*a[1,4]^2*a[2,1]*a[3,1]*a[4,3] +a[1,2]*a[1,4]^2*a[2,3]*a[3,1]*a[4,1]+a[1,2]*a[1,4]*a[2,1]*a[2,2]*a[3,4]*a[4,3] +a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[3,3]+a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,4]*a [4,2]-a[1,2]*a[1,4]*a[2,1]*a[3,3]*a[3,4]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[3,4]*a[4 ,3]*a[4,4]-a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,1]*a[3,3]-a[1,2]*a[1,4]*a[2,2]*a[2,3 ]*a[3,4]*a[4,1]-a[1,2]*a[1,4]*a[2,2]*a[2,4]*a[3,1]*a[4,3]-a[1,2]*a[1,4]*a[2,3]* a[2,4]*a[3,1]*a[4,2]+a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[3,2]*a[4,1]+a[1,2]*a[1,4]*a[ 2,3]*a[3,1]*a[3,3]*a[4,4]-a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[3,4]*a[4,3]+a[1,2]*a[1, 4]*a[2,3]*a[3,3]*a[3,4]*a[4,1]+a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,4]-a[1,2] *a[2,2]*a[2,3]*a[3,3]*a[3,4]*a[4,4]+a[1,2]*a[2,2]*a[2,3]*a[3,4]^2*a[4,3]+a[1,2] *a[2,3]*a[2,4]*a[3,2]*a[3,3]*a[4,4]-a[1,2]*a[2,3]*a[2,4]*a[3,2]*a[3,4]*a[4,3]+a [1,2]*a[2,3]*a[3,3]*a[3,4]*a[4,4]^2-a[1,2]*a[2,3]*a[3,4]^2*a[4,3]*a[4,4]-a[1,2] *a[2,4]*a[3,3]*a[3,4]*a[4,3]*a[4,4]+a[1,2]*a[2,4]*a[3,4]^2*a[4,3]^2-a[1,3]^2*a[ 2,1]*a[3,4]^2*a[4,2]+a[1,3]^2*a[2,4]*a[3,2]*a[3,4]*a[4,1]-a[1,3]*a[1,4]*a[2,1]* a[2,3]*a[3,2]^2+a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[3,4]*a[4,2]-a[1,3]*a[1,4]*a[2,1]* a[3,4]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[3,1]*a[3,2]-a[1,3]*a[1,4]*a[ 2,3]*a[3,1]*a[3,2]*a[4,4]+a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,4]*a[4,2]-a[1,3]*a[1, 4]*a[2,3]*a[3,2]*a[3,4]*a[4,1]+a[1,3]*a[1,4]*a[2,4]*a[3,4]*a[4,1]*a[4,2]+a[1,3] *a[2,2]*a[2,3]*a[3,2]*a[3,4]*a[4,4]-a[1,3]*a[2,2]*a[2,3]*a[3,4]^2*a[4,2]-a[1,3] *a[2,3]*a[2,4]*a[3,2]^2*a[4,4]+a[1,3]*a[2,3]*a[2,4]*a[3,2]*a[3,4]*a[4,2]-a[1,3] *a[2,3]*a[3,2]*a[3,4]*a[4,4]^2+a[1,3]*a[2,3]*a[3,4]^2*a[4,2]*a[4,4]+a[1,3]*a[2, 4]*a[3,2]*a[3,4]*a[4,3]*a[4,4]-a[1,3]*a[2,4]*a[3,4]^2*a[4,2]*a[4,3]-a[1,4]^2*a[ 2,1]*a[2,3]*a[3,2]*a[4,2]+a[1,4]^2*a[2,1]*a[3,4]*a[4,2]*a[4,3]+a[1,4]^2*a[2,2]* a[2,3]*a[3,1]*a[4,2]+a[1,4]^2*a[2,3]*a[3,1]*a[3,2]*a[4,3]-a[1,4]^2*a[2,3]*a[3,1 ]*a[3,3]*a[4,2]-a[1,4]^2*a[2,3]*a[3,4]*a[4,1]*a[4,2]-a[1,4]*a[2,2]*a[2,3]*a[3,2 ]*a[3,4]*a[4,3]+a[1,4]*a[2,2]*a[2,3]*a[3,3]*a[3,4]*a[4,2]+a[1,4]*a[2,3]*a[2,4]* a[3,2]^2*a[4,3]-a[1,4]*a[2,3]*a[2,4]*a[3,2]*a[3,3]*a[4,2]+a[1,4]*a[2,3]*a[3,2]* a[3,4]*a[4,3]*a[4,4]-a[1,4]*a[2,3]*a[3,3]*a[3,4]*a[4,2]*a[4,4]-a[1,4]*a[2,4]*a[ 3,2]*a[3,4]*a[4,3]^2+a[1,4]*a[2,4]*a[3,3]*a[3,4]*a[4,2]*a[4,3])*X[1,3]+(-a[1,1] *a[1,2]^2*a[2,2]*a[2,3]*a[3,4]+a[1,1]*a[1,2]^2*a[2,3]*a[2,4]*a[3,2]+a[1,1]*a[1, 2]^2*a[2,3]*a[3,4]*a[4,4]-a[1,1]*a[1,2]^2*a[2,4]*a[3,4]*a[4,3]+a[1,1]*a[1,2]*a[ 1,3]*a[2,2]^2*a[3,4]-a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,2]-a[1,1]*a[1,2]*a[ 1,3]*a[2,2]*a[3,3]*a[3,4]-a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[3,4]*a[4,4]+a[1,1]*a[1, 2]*a[1,3]*a[2,4]*a[3,2]*a[3,3]+a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,4]*a[4,2]+a[1,1] *a[1,2]*a[1,3]*a[3,3]*a[3,4]*a[4,4]-a[1,1]*a[1,2]*a[1,3]*a[3,4]^2*a[4,3]-a[1,1] *a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,2]+a[1,1]*a[1,2]*a[1,4]*a[2,4]*a[3,2]*a[4,3]+a [1,1]*a[1,3]^2*a[2,2]*a[3,2]*a[3,4]-a[1,1]*a[1,3]^2*a[2,4]*a[3,2]^2-a[1,1]*a[1, 3]^2*a[3,2]*a[3,4]*a[4,4]+a[1,1]*a[1,3]^2*a[3,4]^2*a[4,2]+a[1,1]*a[1,3]*a[1,4]* a[2,2]*a[3,4]*a[4,2]-a[1,1]*a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,2]+a[1,1]*a[1,3]*a[ 1,4]*a[3,2]*a[3,4]*a[4,3]-a[1,1]*a[1,3]*a[1,4]*a[3,3]*a[3,4]*a[4,2]+a[1,2]^3*a[ 2,1]*a[2,3]*a[3,4]-a[1,2]^3*a[2,3]*a[2,4]*a[3,1]-a[1,2]^2*a[1,3]*a[2,1]*a[2,2]* a[3,4]+a[1,2]^2*a[1,3]*a[2,1]*a[3,3]*a[3,4]+a[1,2]^2*a[1,3]*a[2,2]*a[2,4]*a[3,1 ]-a[1,2]^2*a[1,3]*a[2,4]*a[3,1]*a[3,3]-a[1,2]^2*a[1,4]*a[2,1]*a[2,3]*a[3,2]+a[1 ,2]^2*a[1,4]*a[2,1]*a[3,4]*a[4,3]+a[1,2]^2*a[1,4]*a[2,2]*a[2,3]*a[3,1]-a[1,2]^2 *a[1,4]*a[2,3]*a[3,1]*a[4,4]+a[1,2]^2*a[2,2]*a[2,3]*a[3,4]*a[4,4]-a[1,2]^2*a[2, 2]*a[2,4]*a[3,4]*a[4,3]-a[1,2]^2*a[2,3]*a[2,4]*a[3,2]*a[4,4]-a[1,2]^2*a[2,3]*a[ 3,4]^2*a[4,3]-a[1,2]^2*a[2,3]*a[3,4]*a[4,4]^2+a[1,2]^2*a[2,4]^2*a[3,2]*a[4,3]+a [1,2]^2*a[2,4]*a[3,3]*a[3,4]*a[4,3]+a[1,2]^2*a[2,4]*a[3,4]*a[4,3]*a[4,4]-a[1,2] *a[1,3]^2*a[2,1]*a[3,2]*a[3,4]+a[1,2]*a[1,3]^2*a[2,4]*a[3,1]*a[3,2]+a[1,2]*a[1, 3]*a[1,4]*a[2,1]*a[2,2]*a[3,2]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[3,3]-a[1,2] *a[1,3]*a[1,4]*a[2,1]*a[3,4]*a[4,2]-a[1,2]*a[1,3]*a[1,4]*a[2,2]^2*a[3,1]+a[1,2] *a[1,3]*a[1,4]*a[2,2]*a[3,1]*a[3,3]+a[1,2]*a[1,3]*a[1,4]*a[2,2]*a[3,1]*a[4,4]-a [1,2]*a[1,3]*a[1,4]*a[3,1]*a[3,3]*a[4,4]+a[1,2]*a[1,3]*a[1,4]*a[3,1]*a[3,4]*a[4 ,3]-a[1,2]*a[1,3]*a[2,2]^2*a[3,4]*a[4,4]+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,2]*a[4 ,4]+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,4]*a[4,2]+a[1,2]*a[1,3]*a[2,2]*a[3,3]*a[3,4 ]*a[4,4]+a[1,2]*a[1,3]*a[2,2]*a[3,4]*a[4,4]^2+a[1,2]*a[1,3]*a[2,3]*a[3,4]^2*a[4 ,2]-a[1,2]*a[1,3]*a[2,4]^2*a[3,2]*a[4,2]-a[1,2]*a[1,3]*a[2,4]*a[3,2]*a[3,3]*a[4 ,4]-a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[3,4]*a[4,2]-a[1,2]*a[1,3]*a[2,4]*a[3,4]*a[4,2 ]*a[4,4]-a[1,2]*a[1,3]*a[3,3]*a[3,4]*a[4,4]^2+a[1,2]*a[1,3]*a[3,4]^2*a[4,3]*a[4 ,4]-a[1,2]*a[1,4]^2*a[2,1]*a[3,2]*a[4,3]+a[1,2]*a[1,4]^2*a[2,3]*a[3,1]*a[4,2]+a [1,2]*a[1,4]*a[2,2]^2*a[3,4]*a[4,3]-a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,4]*a[4,2]-a [1,2]*a[1,4]*a[2,2]*a[2,4]*a[3,2]*a[4,3]-a[1,2]*a[1,4]*a[2,2]*a[3,3]*a[3,4]*a[4 ,3]-a[1,2]*a[1,4]*a[2,2]*a[3,4]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[3,2 ]*a[4,2]+a[1,2]*a[1,4]*a[2,3]*a[3,2]*a[3,4]*a[4,3]+2*a[1,2]*a[1,4]*a[2,3]*a[3,4 ]*a[4,2]*a[4,4]-a[1,2]*a[1,4]*a[2,4]*a[3,4]*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[3,3]* a[3,4]*a[4,3]*a[4,4]-a[1,2]*a[1,4]*a[3,4]^2*a[4,3]^2+a[1,3]^2*a[1,4]*a[2,1]*a[3 ,2]^2-a[1,3]^2*a[1,4]*a[2,2]*a[3,1]*a[3,2]+a[1,3]^2*a[1,4]*a[3,1]*a[3,2]*a[4,4] -a[1,3]^2*a[1,4]*a[3,1]*a[3,4]*a[4,2]-a[1,3]^2*a[2,2]*a[3,2]*a[3,4]*a[4,4]+a[1, 3]^2*a[2,4]*a[3,2]^2*a[4,4]+a[1,3]^2*a[3,2]*a[3,4]*a[4,4]^2-a[1,3]^2*a[3,4]^2*a [4,2]*a[4,4]+a[1,3]*a[1,4]^2*a[2,1]*a[3,2]*a[4,2]-a[1,3]*a[1,4]^2*a[2,2]*a[3,1] *a[4,2]-a[1,3]*a[1,4]^2*a[3,1]*a[3,2]*a[4,3]+a[1,3]*a[1,4]^2*a[3,1]*a[3,3]*a[4, 2]+a[1,3]*a[1,4]*a[2,2]*a[3,2]*a[3,4]*a[4,3]-a[1,3]*a[1,4]*a[2,2]*a[3,4]*a[4,2] *a[4,4]-a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[3,4]*a[4,2]-a[1,3]*a[1,4]*a[2,4]*a[3,2]^2 *a[4,3]+a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[3,3]*a[4,2]+a[1,3]*a[1,4]*a[2,4]*a[3,4]*a [4,2]^2-2*a[1,3]*a[1,4]*a[3,2]*a[3,4]*a[4,3]*a[4,4]+a[1,3]*a[1,4]*a[3,3]*a[3,4] *a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[3,4]^2*a[4,2]*a[4,3]+a[1,4]^2*a[2,2]*a[3,4]*a[4, 2]*a[4,3]-a[1,4]^2*a[2,3]*a[3,4]*a[4,2]^2+a[1,4]^2*a[3,2]*a[3,4]*a[4,3]^2-a[1,4 ]^2*a[3,3]*a[3,4]*a[4,2]*a[4,3])*X[2,3]+X[3,4]*(a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2 ,4]*a[4,3]-a[1,1]*a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[4,2]+a[1,1]*a[1,2]*a[1,3]*a[2,3 ]*a[3,4]*a[4,3]-a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,3]-a[1,1]*a[1,2]*a[1,4]* a[2,2]*a[2,3]*a[4,3]+a[1,1]*a[1,2]*a[1,4]*a[2,3]^2*a[4,2]+a[1,1]*a[1,2]*a[1,4]* a[2,3]*a[4,3]*a[4,4]-a[1,1]*a[1,2]*a[1,4]*a[2,4]*a[4,3]^2-a[1,1]*a[1,3]^2*a[2,3 ]*a[3,4]*a[4,2]+a[1,1]*a[1,3]^2*a[2,4]*a[3,2]*a[4,3]-a[1,1]*a[1,3]*a[1,4]*a[2,3 ]*a[3,2]*a[4,3]+a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[3,3]*a[4,2]-a[1,1]*a[1,3]*a[1,4]* a[2,3]*a[4,2]*a[4,4]+a[1,1]*a[1,3]*a[1,4]*a[2,4]*a[4,2]*a[4,3]-a[1,2]^2*a[1,3]* a[2,1]*a[2,4]*a[4,3]+a[1,2]^2*a[1,3]*a[2,3]*a[2,4]*a[4,1]+a[1,2]^2*a[1,4]*a[2,1 ]*a[2,3]*a[4,3]-a[1,2]^2*a[1,4]*a[2,3]^2*a[4,1]+a[1,2]^2*a[2,3]^2*a[3,4]*a[4,3] -a[1,2]^2*a[2,3]*a[2,4]*a[3,3]*a[4,3]+a[1,2]^2*a[2,3]*a[2,4]*a[4,3]*a[4,4]-a[1, 2]^2*a[2,4]^2*a[4,3]^2+a[1,2]*a[1,3]^2*a[2,1]*a[2,4]*a[4,2]-a[1,2]*a[1,3]^2*a[2 ,1]*a[3,4]*a[4,3]-a[1,2]*a[1,3]^2*a[2,2]*a[2,4]*a[4,1]+a[1,2]*a[1,3]^2*a[2,4]*a [3,3]*a[4,1]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[4,2]+a[1,2]*a[1,3]*a[1,4]*a[2 ,1]*a[3,3]*a[4,3]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[4,3]*a[4,4]+a[1,2]*a[1,3]*a[1,4 ]*a[2,2]*a[2,3]*a[4,1]-a[1,2]*a[1,3]*a[1,4]*a[2,3]*a[3,3]*a[4,1]+a[1,2]*a[1,3]* a[1,4]*a[2,4]*a[4,1]*a[4,3]-a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,3]-a[1,2]*a[ 1,3]*a[2,2]*a[2,4]*a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[2,3]^2*a[3,4]*a[4,2]+a[1,2]*a[ 1,3]*a[2,3]*a[2,4]*a[3,2]*a[4,3]+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,3]*a[4,2]+a[1, 2]*a[1,3]*a[2,4]^2*a[4,2]*a[4,3]+a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,3]*a[4,4]-a[1, 2]*a[1,3]*a[2,4]*a[3,4]*a[4,3]^2+a[1,2]*a[1,4]^2*a[2,1]*a[4,3]^2-a[1,2]*a[1,4]^ 2*a[2,3]*a[4,1]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,3]*a[4,3]+a[1,2]*a[1,4]* a[2,2]*a[2,4]*a[4,3]^2-a[1,2]*a[1,4]*a[2,3]^2*a[3,2]*a[4,3]-a[1,2]*a[1,4]*a[2,3 ]^2*a[4,2]*a[4,4]-a[1,2]*a[1,4]*a[2,3]*a[3,3]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,3 ]*a[3,4]*a[4,3]^2+a[1,3]^3*a[2,1]*a[3,4]*a[4,2]-a[1,3]^3*a[2,4]*a[3,2]*a[4,1]-a [1,3]^2*a[1,4]*a[2,1]*a[3,3]*a[4,2]+a[1,3]^2*a[1,4]*a[2,1]*a[4,2]*a[4,4]+a[1,3] ^2*a[1,4]*a[2,3]*a[3,2]*a[4,1]-a[1,3]^2*a[1,4]*a[2,4]*a[4,1]*a[4,2]+a[1,3]^2*a[ 2,2]*a[2,3]*a[3,4]*a[4,2]-a[1,3]^2*a[2,3]*a[2,4]*a[3,2]*a[4,2]-a[1,3]^2*a[2,4]* a[3,2]*a[4,3]*a[4,4]+a[1,3]^2*a[2,4]*a[3,4]*a[4,2]*a[4,3]-a[1,3]*a[1,4]^2*a[2,1 ]*a[4,2]*a[4,3]+a[1,3]*a[1,4]^2*a[2,3]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,2]*a[2,3 ]*a[3,3]*a[4,2]+a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,3]^ 2*a[3,2]*a[4,2]-a[1,3]*a[1,4]*a[2,3]*a[2,4]*a[4,2]^2+a[1,3]*a[1,4]*a[2,3]*a[3,2 ]*a[4,3]*a[4,4]-a[1,3]*a[1,4]*a[2,3]*a[3,4]*a[4,2]*a[4,3]+a[1,3]*a[1,4]*a[2,4]* a[3,2]*a[4,3]^2-a[1,3]*a[1,4]*a[2,4]*a[3,3]*a[4,2]*a[4,3]-a[1,4]^2*a[2,2]*a[2,3 ]*a[4,2]*a[4,3]+a[1,4]^2*a[2,3]^2*a[4,2]^2-a[1,4]^2*a[2,3]*a[3,2]*a[4,3]^2+a[1, 4]^2*a[2,3]*a[3,3]*a[4,2]*a[4,3]) = 0 ------------------------------------ Theorem number, 14, : let, {X[1, 2], X[1, 3], X[2, 3], X[4, 1]}, be the entri\ es of an ARBITRARY power of the general matrix M, we always have the lin\ ear relation (a[1, 1] a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[2, 1] a[2, 3] a[3, 3] a[4, 2] + a[1, 1] a[1, 3] a[2, 1] a[2, 3] a[4, 2] a[4, 4] - a[1, 1] a[1, 3] a[2, 1] a[2, 4] a[4, 2] a[4, 3] - a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[4, 3] + a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[3, 3] a[4, 1] - a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[4, 1] a[4, 4] 2 + a[1, 1] a[1, 3] a[2, 3] a[3, 1] a[4, 2] 2 - a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[4, 1] + a[1, 1] a[1, 3] a[2, 3] a[2, 4] a[4, 1] a[4, 2] + a[1, 1] a[1, 3] a[2, 3] a[3, 1] a[4, 3] a[4, 4] - a[1, 1] a[1, 3] a[2, 3] a[3, 3] a[4, 1] a[4, 4] 2 + a[1, 1] a[1, 3] a[2, 3] a[4, 1] a[4, 4] 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 1] a[4, 3] + a[1, 1] a[1, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 3] - a[1, 1] a[1, 3] a[2, 4] a[4, 1] a[4, 3] a[4, 4] + a[1, 1] a[1, 4] a[2, 2] a[2, 3] a[4, 1] a[4, 3] 2 - a[1, 1] a[1, 4] a[2, 3] a[4, 1] a[4, 2] - a[1, 1] a[1, 4] a[2, 3] a[4, 1] a[4, 3] a[4, 4] 2 + a[1, 1] a[1, 4] a[2, 4] a[4, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 1] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 1] a[4, 3] 2 2 + a[1, 2] a[1, 4] a[2, 3] a[4, 1] 2 + a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[4, 3] 2 - a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[4, 2] 2 + a[1, 2] a[2, 1] a[2, 3] a[4, 2] a[4, 4] - a[1, 2] a[2, 1] a[2, 3] a[2, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[4, 3] 2 + a[1, 2] a[2, 2] a[2, 3] a[3, 3] a[4, 1] 2 - a[1, 2] a[2, 2] a[2, 3] a[4, 1] a[4, 4] + a[1, 2] a[2, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 3] 3 3 + a[1, 2] a[2, 3] a[3, 1] a[4, 2] - a[1, 2] a[2, 3] a[3, 2] a[4, 1] 2 + a[1, 2] a[2, 3] a[3, 1] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 3] a[4, 1] a[4, 4] 2 2 + a[1, 2] a[2, 3] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 3] - 2 a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 3] a[4, 4] 2 2 2 2 + a[1, 2] a[2, 4] a[4, 1] a[4, 3] - a[1, 3] a[2, 1] a[3, 2] a[4, 3] 2 2 2 2 + a[1, 3] a[2, 1] a[3, 3] a[4, 2] - a[1, 3] a[2, 1] a[4, 2] a[4, 4] 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[4, 3] 2 - a[1, 3] a[2, 1] a[2, 2] a[3, 3] a[4, 1] 2 + a[1, 3] a[2, 1] a[2, 2] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 1] a[2, 3] a[3, 1] a[4, 2] 2 + a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 1] 2 - a[1, 3] a[2, 1] a[3, 1] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 1] a[3, 3] a[4, 1] a[4, 4] 2 2 - a[1, 3] a[2, 1] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 3] 2 2 2 2 - a[1, 3] a[2, 4] a[3, 3] a[4, 1] + a[1, 3] a[2, 4] a[4, 1] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 1] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[4, 3] - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 1] a[4, 3] + 2 a[1, 3] a[1, 4] a[2, 1] a[4, 1] a[4, 3] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 1] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 3] a[4, 1] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 3] - a[1, 3] a[2, 1] a[2, 2] a[2, 3] a[3, 2] a[4, 3] + a[1, 3] a[2, 1] a[2, 2] a[2, 3] a[3, 3] a[4, 2] - a[1, 3] a[2, 1] a[2, 2] a[2, 3] a[4, 2] a[4, 4] 2 + a[1, 3] a[2, 1] a[2, 3] a[2, 4] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 3] + a[1, 3] a[2, 1] a[2, 4] a[3, 3] a[4, 2] a[4, 3] 2 + a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[4, 3] 2 - a[1, 3] a[2, 2] a[2, 3] a[3, 3] a[4, 1] 2 + a[1, 3] a[2, 2] a[2, 3] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[4, 2] 2 + a[1, 3] a[2, 2] a[2, 3] a[3, 2] a[4, 1] - a[1, 3] a[2, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 2] - a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 3] a[2, 2] a[2, 3] a[3, 3] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 2] a[2, 3] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 2] a[2, 4] a[3, 1] a[4, 3] - a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 1] a[4, 3] + a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 3] a[4, 4] + a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 3] - a[1, 3] a[2, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 2] + a[1, 3] a[2, 3] a[2, 4] a[4, 1] a[4, 2] a[4, 4] 2 - a[1, 3] a[2, 4] a[4, 1] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 4] a[2, 1] a[4, 1] a[4, 3] + a[1, 4] a[2, 3] a[4, 1] a[4, 3] + a[1, 4] a[2, 1] a[2, 2] a[2, 3] a[4, 2] a[4, 3] 2 2 - a[1, 4] a[2, 1] a[2, 3] a[4, 2] 2 + a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 3] - a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 2] a[2, 3] a[4, 1] a[4, 3] 2 + a[1, 4] a[2, 2] a[2, 3] a[4, 1] a[4, 2] + a[1, 4] a[2, 2] a[2, 3] a[4, 1] a[4, 3] a[4, 4] 2 - a[1, 4] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 - a[1, 4] a[2, 3] a[3, 2] a[4, 1] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 3] a[4, 1] a[4, 2] 2 - a[1, 4] a[2, 3] a[4, 1] a[4, 2] a[4, 4] + a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 2] a[4, 3]) X[1, 2] + ( -a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[4, 3] + a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[4, 2] - a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[4, 2] a[4, 4] + a[1, 1] a[1, 2] a[2, 1] a[2, 4] a[4, 2] a[4, 3] + a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[4, 3] - a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 3] a[4, 1] + a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[4, 1] a[4, 4] - a[1, 1] a[1, 2] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[4, 2] 2 + a[1, 1] a[1, 2] a[2, 3] a[3, 2] a[4, 1] - a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 1] a[1, 2] a[2, 3] a[3, 3] a[4, 1] a[4, 4] - a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 3] a[4, 1] a[4, 4] 2 + a[1, 1] a[1, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 1] a[1, 2] a[2, 4] a[4, 1] a[4, 3] a[4, 4] + a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 3] + a[1, 1] a[1, 4] a[2, 3] a[3, 2] a[4, 1] a[4, 3] - a[1, 1] a[1, 4] a[2, 3] a[3, 3] a[4, 1] a[4, 2] + a[1, 1] a[1, 4] a[2, 3] a[4, 1] a[4, 2] a[4, 4] - a[1, 1] a[1, 4] a[2, 4] a[4, 1] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 1] a[4, 2] a[4, 4] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 1] - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[3, 1] a[4, 3] a[4, 4] - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 1] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[4, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 1] a[4, 2] 2 - a[1, 2] a[1, 4] a[2, 1] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[4, 1] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 1] + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 4] + a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[3, 3] a[4, 3] 2 - a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[4, 2] + a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[4, 2] a[4, 4] - a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[2, 1] a[2, 4] a[3, 3] a[4, 2] a[4, 3] - a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 3] 2 + a[1, 2] a[2, 2] a[2, 3] a[3, 3] a[4, 1] - a[1, 2] a[2, 2] a[2, 3] a[3, 3] a[4, 1] a[4, 4] + a[1, 2] a[2, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[2, 2] a[2, 4] a[3, 3] a[4, 1] a[4, 3] 2 + a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 2] 2 - a[1, 2] a[2, 3] a[3, 2] a[3, 3] a[4, 1] + a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 3] + a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 3] a[4, 1] a[4, 4] + a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[2, 3] a[3, 3] a[4, 1] a[4, 4] - a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] a[4, 4] - a[1, 2] a[2, 4] a[3, 3] a[4, 1] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 2] 2 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 1] + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[4, 1] a[4, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 1] 2 + a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 3] + a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[3, 3] a[4, 2] - a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 2] a[4, 4] 2 + a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 2] + a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[2, 2] a[2, 3] a[3, 2] a[3, 3] a[4, 1] + a[1, 3] a[2, 2] a[2, 3] a[3, 2] a[4, 1] a[4, 4] - a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 2] 2 2 + a[1, 3] a[2, 3] a[3, 2] a[4, 1] - a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 3] + a[1, 3] a[2, 3] a[3, 2] a[3, 3] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 3] a[3, 2] a[4, 1] a[4, 4] - a[1, 3] a[2, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 3] a[2, 3] a[3, 4] a[4, 1] a[4, 2] a[4, 4] + a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 3] a[4, 4] - a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[4, 1] a[4, 2] a[4, 3] 2 2 - a[1, 4] a[2, 3] a[4, 1] a[4, 2] + a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 2] a[4, 3] - a[1, 4] a[2, 2] a[2, 3] a[3, 2] a[4, 1] a[4, 3] 2 2 - a[1, 4] a[2, 3] a[3, 1] a[4, 2] 2 + a[1, 4] a[2, 3] a[3, 2] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] a[4, 3] - a[1, 4] a[2, 3] a[3, 2] a[3, 3] a[4, 1] a[4, 3] + a[1, 4] a[2, 3] a[3, 2] a[4, 1] a[4, 3] a[4, 4] 2 + a[1, 4] a[2, 3] a[3, 3] a[4, 1] a[4, 2] - a[1, 4] a[2, 3] a[3, 3] a[4, 1] a[4, 2] a[4, 4] 2 - a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3] + a[1, 4] a[2, 4] a[3, 3] a[4, 1] a[4, 2] a[4, 3]) X[1, 3] + ( 2 -a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[4, 3] 2 + a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[4, 2] 2 - a[1, 2] a[2, 1] a[2, 3] a[4, 2] a[4, 4] 2 + a[1, 2] a[2, 1] a[2, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[4, 3] 2 - a[1, 2] a[2, 2] a[2, 3] a[3, 3] a[4, 1] 2 + a[1, 2] a[2, 2] a[2, 3] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 2 2 2 - a[1, 2] a[2, 3] a[3, 1] a[4, 2] + a[1, 2] a[2, 3] a[3, 2] a[4, 1] 2 - a[1, 2] a[2, 3] a[3, 1] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 3] a[3, 3] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 2 2 2 - a[1, 2] a[2, 3] a[4, 1] a[4, 4] + a[1, 2] a[2, 4] a[3, 1] a[4, 3] 2 + a[1, 2] a[2, 4] a[4, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 3] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[4, 2] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 2] - a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[3, 3] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 2] - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 2] a[3, 1] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 2] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 2] a[4, 1] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 2] a[3, 1] a[3, 3] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[3, 1] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 2] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[3, 3] a[4, 2] + a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 2] a[4, 4] - a[1, 2] a[1, 3] a[3, 1] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[3, 1] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[3, 3] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[3, 3] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[3, 4] a[4, 1] a[4, 3] a[4, 4] - a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 2] 2 - a[1, 2] a[1, 4] a[2, 1] a[3, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 2] a[4, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 2] a[3, 3] a[4, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[4, 1] a[4, 3] a[4, 4] + 2 a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 1] a[4, 2] + 2 a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 2] a[4, 4] - a[1, 2] a[1, 4] a[2, 4] a[4, 1] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[3, 3] a[4, 1] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[3, 4] a[4, 1] a[4, 3] 2 2 + a[1, 3] a[2, 1] a[3, 2] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 2] a[3, 3] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 2] a[4, 2] a[4, 4] 2 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 2] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 3] a[2, 2] a[3, 2] a[3, 3] a[4, 1] 2 - a[1, 3] a[2, 2] a[3, 2] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 2] 2 2 - a[1, 3] a[2, 3] a[3, 2] a[4, 1] 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 2] 2 + a[1, 3] a[3, 1] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 3] a[3, 2] a[3, 3] a[4, 1] a[4, 4] 2 2 + a[1, 3] a[3, 2] a[4, 1] a[4, 4] 2 + a[1, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[3, 4] a[4, 1] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 2] a[3, 1] a[4, 2] a[4, 3] + a[1, 3] a[1, 4] a[2, 2] a[3, 2] a[4, 1] a[4, 3] + a[1, 3] a[1, 4] a[2, 2] a[3, 3] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 2] a[4, 1] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] - 2 a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 1] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[1, 4] a[3, 1] a[3, 2] a[4, 3] + a[1, 3] a[1, 4] a[3, 1] a[3, 3] a[4, 2] a[4, 3] + a[1, 3] a[1, 4] a[3, 2] a[3, 3] a[4, 1] a[4, 3] - 2 a[1, 3] a[1, 4] a[3, 2] a[4, 1] a[4, 3] a[4, 4] 2 - a[1, 3] a[1, 4] a[3, 3] a[4, 1] a[4, 2] + a[1, 3] a[1, 4] a[3, 3] a[4, 1] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[3, 4] a[4, 1] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 2] a[4, 1] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 4] a[2, 3] a[4, 1] a[4, 2] + a[1, 4] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 4] a[3, 3] a[4, 1] a[4, 2] a[4, 3]) X[2, 3] + X[4, 1] ( a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 3] 2 + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[4, 2] + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[4, 3] a[4, 4] 2 - a[1, 1] a[1, 2] a[1, 4] a[2, 4] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 3] + a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 2] - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[4, 2] a[4, 4] + a[1, 1] a[1, 3] a[1, 4] a[2, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 1] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 3] 2 2 2 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 1] + a[1, 2] a[2, 3] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 3] 2 2 2 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 3] a[4, 4] - a[1, 2] a[2, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[4, 2] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[4, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 3] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 3] 2 2 + a[1, 2] a[1, 4] a[2, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 3] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 2] a[4, 4] - a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 3] 3 3 + a[1, 3] a[2, 1] a[3, 4] a[4, 2] - a[1, 3] a[2, 4] a[3, 2] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 2] 2 + a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 3] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 3] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 4] a[2, 2] a[2, 3] a[4, 2] a[4, 3] + a[1, 4] a[2, 3] a[4, 2] 2 2 - a[1, 4] a[2, 3] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 3] a[4, 2] a[4, 3]) = 0 in Maple notation (a[1,1]*a[1,3]*a[2,1]*a[2,3]*a[3,2]*a[4,3]-a[1,1]*a[1,3]*a[2,1]*a[2,3]*a[3,3]*a [4,2]+a[1,1]*a[1,3]*a[2,1]*a[2,3]*a[4,2]*a[4,4]-a[1,1]*a[1,3]*a[2,1]*a[2,4]*a[4 ,2]*a[4,3]-a[1,1]*a[1,3]*a[2,2]*a[2,3]*a[3,1]*a[4,3]+a[1,1]*a[1,3]*a[2,2]*a[2,3 ]*a[3,3]*a[4,1]-a[1,1]*a[1,3]*a[2,2]*a[2,3]*a[4,1]*a[4,4]+a[1,1]*a[1,3]*a[2,3]^ 2*a[3,1]*a[4,2]-a[1,1]*a[1,3]*a[2,3]^2*a[3,2]*a[4,1]+a[1,1]*a[1,3]*a[2,3]*a[2,4 ]*a[4,1]*a[4,2]+a[1,1]*a[1,3]*a[2,3]*a[3,1]*a[4,3]*a[4,4]-a[1,1]*a[1,3]*a[2,3]* a[3,3]*a[4,1]*a[4,4]+a[1,1]*a[1,3]*a[2,3]*a[4,1]*a[4,4]^2-a[1,1]*a[1,3]*a[2,4]* a[3,1]*a[4,3]^2+a[1,1]*a[1,3]*a[2,4]*a[3,3]*a[4,1]*a[4,3]-a[1,1]*a[1,3]*a[2,4]* a[4,1]*a[4,3]*a[4,4]+a[1,1]*a[1,4]*a[2,2]*a[2,3]*a[4,1]*a[4,3]-a[1,1]*a[1,4]*a[ 2,3]^2*a[4,1]*a[4,2]-a[1,1]*a[1,4]*a[2,3]*a[4,1]*a[4,3]*a[4,4]+a[1,1]*a[1,4]*a[ 2,4]*a[4,1]*a[4,3]^2+a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[4,1]*a[4,3]-a[1,2]*a[1,3]*a[ 2,3]*a[2,4]*a[4,1]^2-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[4,1]*a[4,3]+a[1,2]*a[1,4]*a[ 2,3]^2*a[4,1]^2+a[1,2]*a[2,1]*a[2,3]^2*a[3,2]*a[4,3]-a[1,2]*a[2,1]*a[2,3]^2*a[3 ,3]*a[4,2]+a[1,2]*a[2,1]*a[2,3]^2*a[4,2]*a[4,4]-a[1,2]*a[2,1]*a[2,3]*a[2,4]*a[4 ,2]*a[4,3]-a[1,2]*a[2,2]*a[2,3]^2*a[3,1]*a[4,3]+a[1,2]*a[2,2]*a[2,3]^2*a[3,3]*a [4,1]-a[1,2]*a[2,2]*a[2,3]^2*a[4,1]*a[4,4]+a[1,2]*a[2,2]*a[2,3]*a[2,4]*a[4,1]*a [4,3]+a[1,2]*a[2,3]^3*a[3,1]*a[4,2]-a[1,2]*a[2,3]^3*a[3,2]*a[4,1]+a[1,2]*a[2,3] ^2*a[3,1]*a[4,3]*a[4,4]-a[1,2]*a[2,3]^2*a[3,3]*a[4,1]*a[4,4]+a[1,2]*a[2,3]^2*a[ 4,1]*a[4,4]^2-a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[4,3]^2+a[1,2]*a[2,3]*a[2,4]*a[3,3]* a[4,1]*a[4,3]-2*a[1,2]*a[2,3]*a[2,4]*a[4,1]*a[4,3]*a[4,4]+a[1,2]*a[2,4]^2*a[4,1 ]*a[4,3]^2-a[1,3]^2*a[2,1]^2*a[3,2]*a[4,3]+a[1,3]^2*a[2,1]^2*a[3,3]*a[4,2]-a[1, 3]^2*a[2,1]^2*a[4,2]*a[4,4]+a[1,3]^2*a[2,1]*a[2,2]*a[3,1]*a[4,3]-a[1,3]^2*a[2,1 ]*a[2,2]*a[3,3]*a[4,1]+a[1,3]^2*a[2,1]*a[2,2]*a[4,1]*a[4,4]-a[1,3]^2*a[2,1]*a[2 ,3]*a[3,1]*a[4,2]+a[1,3]^2*a[2,1]*a[2,3]*a[3,2]*a[4,1]-a[1,3]^2*a[2,1]*a[3,1]*a [4,3]*a[4,4]+a[1,3]^2*a[2,1]*a[3,3]*a[4,1]*a[4,4]-a[1,3]^2*a[2,1]*a[4,1]*a[4,4] ^2+a[1,3]^2*a[2,4]*a[3,1]*a[4,1]*a[4,3]-a[1,3]^2*a[2,4]*a[3,3]*a[4,1]^2+a[1,3]^ 2*a[2,4]*a[4,1]^2*a[4,4]+a[1,3]*a[1,4]*a[2,1]^2*a[4,2]*a[4,3]-a[1,3]*a[1,4]*a[2 ,1]*a[2,2]*a[4,1]*a[4,3]+a[1,3]*a[1,4]*a[2,1]*a[3,1]*a[4,3]^2-a[1,3]*a[1,4]*a[2 ,1]*a[3,3]*a[4,1]*a[4,3]+2*a[1,3]*a[1,4]*a[2,1]*a[4,1]*a[4,3]*a[4,4]-a[1,3]*a[1 ,4]*a[2,3]*a[3,1]*a[4,1]*a[4,3]+a[1,3]*a[1,4]*a[2,3]*a[3,3]*a[4,1]^2-a[1,3]*a[1 ,4]*a[2,3]*a[4,1]^2*a[4,4]-a[1,3]*a[1,4]*a[2,4]*a[4,1]^2*a[4,3]-a[1,3]*a[2,1]*a [2,2]*a[2,3]*a[3,2]*a[4,3]+a[1,3]*a[2,1]*a[2,2]*a[2,3]*a[3,3]*a[4,2]-a[1,3]*a[2 ,1]*a[2,2]*a[2,3]*a[4,2]*a[4,4]+a[1,3]*a[2,1]*a[2,3]*a[2,4]*a[4,2]^2-a[1,3]*a[2 ,1]*a[2,4]*a[3,2]*a[4,3]^2+a[1,3]*a[2,1]*a[2,4]*a[3,3]*a[4,2]*a[4,3]+a[1,3]*a[2 ,2]^2*a[2,3]*a[3,1]*a[4,3]-a[1,3]*a[2,2]^2*a[2,3]*a[3,3]*a[4,1]+a[1,3]*a[2,2]^2 *a[2,3]*a[4,1]*a[4,4]-a[1,3]*a[2,2]*a[2,3]^2*a[3,1]*a[4,2]+a[1,3]*a[2,2]*a[2,3] ^2*a[3,2]*a[4,1]-a[1,3]*a[2,2]*a[2,3]*a[2,4]*a[4,1]*a[4,2]-a[1,3]*a[2,2]*a[2,3] *a[3,1]*a[4,3]*a[4,4]+a[1,3]*a[2,2]*a[2,3]*a[3,3]*a[4,1]*a[4,4]-a[1,3]*a[2,2]*a [2,3]*a[4,1]*a[4,4]^2+a[1,3]*a[2,2]*a[2,4]*a[3,1]*a[4,3]^2-a[1,3]*a[2,2]*a[2,4] *a[3,3]*a[4,1]*a[4,3]+a[1,3]*a[2,2]*a[2,4]*a[4,1]*a[4,3]*a[4,4]+a[1,3]*a[2,3]*a [2,4]*a[3,2]*a[4,1]*a[4,3]-a[1,3]*a[2,3]*a[2,4]*a[3,3]*a[4,1]*a[4,2]+a[1,3]*a[2 ,3]*a[2,4]*a[4,1]*a[4,2]*a[4,4]-a[1,3]*a[2,4]^2*a[4,1]*a[4,2]*a[4,3]-a[1,4]^2*a [2,1]*a[4,1]*a[4,3]^2+a[1,4]^2*a[2,3]*a[4,1]^2*a[4,3]+a[1,4]*a[2,1]*a[2,2]*a[2, 3]*a[4,2]*a[4,3]-a[1,4]*a[2,1]*a[2,3]^2*a[4,2]^2+a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[ 4,3]^2-a[1,4]*a[2,1]*a[2,3]*a[3,3]*a[4,2]*a[4,3]-a[1,4]*a[2,2]^2*a[2,3]*a[4,1]* a[4,3]+a[1,4]*a[2,2]*a[2,3]^2*a[4,1]*a[4,2]+a[1,4]*a[2,2]*a[2,3]*a[4,1]*a[4,3]* a[4,4]-a[1,4]*a[2,2]*a[2,4]*a[4,1]*a[4,3]^2-a[1,4]*a[2,3]^2*a[3,2]*a[4,1]*a[4,3 ]+a[1,4]*a[2,3]^2*a[3,3]*a[4,1]*a[4,2]-a[1,4]*a[2,3]^2*a[4,1]*a[4,2]*a[4,4]+a[1 ,4]*a[2,3]*a[2,4]*a[4,1]*a[4,2]*a[4,3])*X[1,2]+(-a[1,1]*a[1,2]*a[2,1]*a[2,3]*a[ 3,2]*a[4,3]+a[1,1]*a[1,2]*a[2,1]*a[2,3]*a[3,3]*a[4,2]-a[1,1]*a[1,2]*a[2,1]*a[2, 3]*a[4,2]*a[4,4]+a[1,1]*a[1,2]*a[2,1]*a[2,4]*a[4,2]*a[4,3]+a[1,1]*a[1,2]*a[2,2] *a[2,3]*a[3,1]*a[4,3]-a[1,1]*a[1,2]*a[2,2]*a[2,3]*a[3,3]*a[4,1]+a[1,1]*a[1,2]*a [2,2]*a[2,3]*a[4,1]*a[4,4]-a[1,1]*a[1,2]*a[2,2]*a[2,4]*a[4,1]*a[4,3]-a[1,1]*a[1 ,2]*a[2,3]^2*a[3,1]*a[4,2]+a[1,1]*a[1,2]*a[2,3]^2*a[3,2]*a[4,1]-a[1,1]*a[1,2]*a [2,3]*a[3,1]*a[4,3]*a[4,4]+a[1,1]*a[1,2]*a[2,3]*a[3,3]*a[4,1]*a[4,4]-a[1,1]*a[1 ,2]*a[2,3]*a[3,4]*a[4,1]*a[4,3]-a[1,1]*a[1,2]*a[2,3]*a[4,1]*a[4,4]^2+a[1,1]*a[1 ,2]*a[2,4]*a[3,1]*a[4,3]^2+a[1,1]*a[1,2]*a[2,4]*a[4,1]*a[4,3]*a[4,4]+a[1,1]*a[1 ,3]*a[2,3]*a[3,4]*a[4,1]*a[4,2]-a[1,1]*a[1,3]*a[2,4]*a[3,2]*a[4,1]*a[4,3]+a[1,1 ]*a[1,4]*a[2,3]*a[3,2]*a[4,1]*a[4,3]-a[1,1]*a[1,4]*a[2,3]*a[3,3]*a[4,1]*a[4,2]+ a[1,1]*a[1,4]*a[2,3]*a[4,1]*a[4,2]*a[4,4]-a[1,1]*a[1,4]*a[2,4]*a[4,1]*a[4,2]*a[ 4,3]+a[1,2]*a[1,3]*a[2,1]^2*a[3,2]*a[4,3]-a[1,2]*a[1,3]*a[2,1]^2*a[3,3]*a[4,2]+ a[1,2]*a[1,3]*a[2,1]^2*a[4,2]*a[4,4]-a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[3,1]*a[4,3]+ a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[3,3]*a[4,1]-a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[4,1]*a[ 4,4]+a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,1]*a[4,2]-a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3, 2]*a[4,1]-a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[4,1]*a[4,2]+a[1,2]*a[1,3]*a[2,1]*a[3,1] *a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[2,1]*a[3,3]*a[4,1]*a[4,4]+a[1,2]*a[1,3]*a[2,1]*a [3,4]*a[4,1]*a[4,3]+a[1,2]*a[1,3]*a[2,1]*a[4,1]*a[4,4]^2+a[1,2]*a[1,3]*a[2,2]*a [2,4]*a[4,1]^2-a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[4,1]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a [4,1]^2*a[4,4]-a[1,2]*a[1,4]*a[2,1]^2*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[2,1]*a[2,2] *a[4,1]*a[4,3]+a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[4,1]*a[4,2]-a[1,2]*a[1,4]*a[2,1]*a [3,1]*a[4,3]^2-a[1,2]*a[1,4]*a[2,1]*a[4,1]*a[4,3]*a[4,4]-a[1,2]*a[1,4]*a[2,2]*a [2,3]*a[4,1]^2+a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[4,1]*a[4,3]+a[1,2]*a[1,4]*a[2,3]*a [4,1]^2*a[4,4]+a[1,2]*a[2,1]*a[2,3]*a[3,2]*a[3,3]*a[4,3]-a[1,2]*a[2,1]*a[2,3]*a [3,3]^2*a[4,2]+a[1,2]*a[2,1]*a[2,3]*a[3,3]*a[4,2]*a[4,4]-a[1,2]*a[2,1]*a[2,3]*a [3,4]*a[4,2]*a[4,3]+a[1,2]*a[2,1]*a[2,4]*a[3,2]*a[4,3]^2-a[1,2]*a[2,1]*a[2,4]*a [3,3]*a[4,2]*a[4,3]-a[1,2]*a[2,2]*a[2,3]*a[3,1]*a[3,3]*a[4,3]+a[1,2]*a[2,2]*a[2 ,3]*a[3,3]^2*a[4,1]-a[1,2]*a[2,2]*a[2,3]*a[3,3]*a[4,1]*a[4,4]+a[1,2]*a[2,2]*a[2 ,3]*a[3,4]*a[4,1]*a[4,3]-a[1,2]*a[2,2]*a[2,4]*a[3,1]*a[4,3]^2+a[1,2]*a[2,2]*a[2 ,4]*a[3,3]*a[4,1]*a[4,3]+a[1,2]*a[2,3]^2*a[3,1]*a[3,3]*a[4,2]-a[1,2]*a[2,3]^2*a [3,2]*a[3,3]*a[4,1]+a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[4,2]*a[4,3]-a[1,2]*a[2,3]*a[2 ,4]*a[3,2]*a[4,1]*a[4,3]+a[1,2]*a[2,3]*a[3,1]*a[3,3]*a[4,3]*a[4,4]-a[1,2]*a[2,3 ]*a[3,1]*a[3,4]*a[4,3]^2-a[1,2]*a[2,3]*a[3,3]^2*a[4,1]*a[4,4]+a[1,2]*a[2,3]*a[3 ,3]*a[3,4]*a[4,1]*a[4,3]+a[1,2]*a[2,3]*a[3,3]*a[4,1]*a[4,4]^2-a[1,2]*a[2,3]*a[3 ,4]*a[4,1]*a[4,3]*a[4,4]-a[1,2]*a[2,4]*a[3,3]*a[4,1]*a[4,3]*a[4,4]+a[1,2]*a[2,4 ]*a[3,4]*a[4,1]*a[4,3]^2-a[1,3]^2*a[2,1]*a[3,4]*a[4,1]*a[4,2]+a[1,3]^2*a[2,4]*a [3,2]*a[4,1]^2+a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a [4,1]*a[4,2]*a[4,4]-a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,1]^2+a[1,3]*a[1,4]*a[2,4]*a [4,1]^2*a[4,2]-a[1,3]*a[2,1]*a[2,3]*a[3,2]^2*a[4,3]+a[1,3]*a[2,1]*a[2,3]*a[3,2] *a[3,3]*a[4,2]-a[1,3]*a[2,1]*a[2,3]*a[3,2]*a[4,2]*a[4,4]+a[1,3]*a[2,1]*a[2,3]*a [3,4]*a[4,2]^2+a[1,3]*a[2,2]*a[2,3]*a[3,1]*a[3,2]*a[4,3]-a[1,3]*a[2,2]*a[2,3]*a [3,2]*a[3,3]*a[4,1]+a[1,3]*a[2,2]*a[2,3]*a[3,2]*a[4,1]*a[4,4]-a[1,3]*a[2,2]*a[2 ,3]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[2,3]^2*a[3,1]*a[3,2]*a[4,2]+a[1,3]*a[2,3]^2*a [3,2]^2*a[4,1]-a[1,3]*a[2,3]*a[3,1]*a[3,2]*a[4,3]*a[4,4]+a[1,3]*a[2,3]*a[3,1]*a [3,4]*a[4,2]*a[4,3]+a[1,3]*a[2,3]*a[3,2]*a[3,3]*a[4,1]*a[4,4]-a[1,3]*a[2,3]*a[3 ,2]*a[4,1]*a[4,4]^2-a[1,3]*a[2,3]*a[3,3]*a[3,4]*a[4,1]*a[4,2]+a[1,3]*a[2,3]*a[3 ,4]*a[4,1]*a[4,2]*a[4,4]+a[1,3]*a[2,4]*a[3,2]*a[4,1]*a[4,3]*a[4,4]-a[1,3]*a[2,4 ]*a[3,4]*a[4,1]*a[4,2]*a[4,3]+a[1,4]^2*a[2,1]*a[4,1]*a[4,2]*a[4,3]-a[1,4]^2*a[2 ,3]*a[4,1]^2*a[4,2]+a[1,4]*a[2,2]*a[2,3]*a[3,1]*a[4,2]*a[4,3]-a[1,4]*a[2,2]*a[2 ,3]*a[3,2]*a[4,1]*a[4,3]-a[1,4]*a[2,3]^2*a[3,1]*a[4,2]^2+a[1,4]*a[2,3]^2*a[3,2] *a[4,1]*a[4,2]+a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,3]^2-a[1,4]*a[2,3]*a[3,1]*a[3,3] *a[4,2]*a[4,3]-a[1,4]*a[2,3]*a[3,2]*a[3,3]*a[4,1]*a[4,3]+a[1,4]*a[2,3]*a[3,2]*a [4,1]*a[4,3]*a[4,4]+a[1,4]*a[2,3]*a[3,3]^2*a[4,1]*a[4,2]-a[1,4]*a[2,3]*a[3,3]*a [4,1]*a[4,2]*a[4,4]-a[1,4]*a[2,4]*a[3,2]*a[4,1]*a[4,3]^2+a[1,4]*a[2,4]*a[3,3]*a [4,1]*a[4,2]*a[4,3])*X[1,3]+(-a[1,2]^2*a[2,1]*a[2,3]*a[3,2]*a[4,3]+a[1,2]^2*a[2 ,1]*a[2,3]*a[3,3]*a[4,2]-a[1,2]^2*a[2,1]*a[2,3]*a[4,2]*a[4,4]+a[1,2]^2*a[2,1]*a [2,4]*a[4,2]*a[4,3]+a[1,2]^2*a[2,2]*a[2,3]*a[3,1]*a[4,3]-a[1,2]^2*a[2,2]*a[2,3] *a[3,3]*a[4,1]+a[1,2]^2*a[2,2]*a[2,3]*a[4,1]*a[4,4]-a[1,2]^2*a[2,2]*a[2,4]*a[4, 1]*a[4,3]-a[1,2]^2*a[2,3]^2*a[3,1]*a[4,2]+a[1,2]^2*a[2,3]^2*a[3,2]*a[4,1]-a[1,2 ]^2*a[2,3]*a[3,1]*a[4,3]*a[4,4]+a[1,2]^2*a[2,3]*a[3,3]*a[4,1]*a[4,4]-a[1,2]^2*a [2,3]*a[3,4]*a[4,1]*a[4,3]-a[1,2]^2*a[2,3]*a[4,1]*a[4,4]^2+a[1,2]^2*a[2,4]*a[3, 1]*a[4,3]^2+a[1,2]^2*a[2,4]*a[4,1]*a[4,3]*a[4,4]+a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[ 3,2]*a[4,3]-a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[3,3]*a[4,2]+a[1,2]*a[1,3]*a[2,1]*a[2, 2]*a[4,2]*a[4,4]-a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[4,2]^2-a[1,2]*a[1,3]*a[2,1]*a[3, 2]*a[3,3]*a[4,3]+a[1,2]*a[1,3]*a[2,1]*a[3,3]^2*a[4,2]-a[1,2]*a[1,3]*a[2,1]*a[3, 3]*a[4,2]*a[4,4]+a[1,2]*a[1,3]*a[2,1]*a[3,4]*a[4,2]*a[4,3]-a[1,2]*a[1,3]*a[2,2] ^2*a[3,1]*a[4,3]+a[1,2]*a[1,3]*a[2,2]^2*a[3,3]*a[4,1]-a[1,2]*a[1,3]*a[2,2]^2*a[ 4,1]*a[4,4]+a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,1]*a[4,2]-a[1,2]*a[1,3]*a[2,2]*a[2, 3]*a[3,2]*a[4,1]+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,1]*a[4,2]+a[1,2]*a[1,3]*a[2,2] *a[3,1]*a[3,3]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[3,1]*a[4,3]*a[4,4]-a[1,2]*a[1,3]*a [2,2]*a[3,3]^2*a[4,1]+a[1,2]*a[1,3]*a[2,2]*a[4,1]*a[4,4]^2-a[1,2]*a[1,3]*a[2,3] *a[3,1]*a[3,3]*a[4,2]+a[1,2]*a[1,3]*a[2,3]*a[3,2]*a[3,3]*a[4,1]+a[1,2]*a[1,3]*a [2,3]*a[3,4]*a[4,1]*a[4,2]-a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[4,2]*a[4,3]-a[1,2]*a[1 ,3]*a[2,4]*a[3,2]*a[4,1]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[4,1]*a[4,2]*a[4,4]-a[1,2 ]*a[1,3]*a[3,1]*a[3,3]*a[4,3]*a[4,4]+a[1,2]*a[1,3]*a[3,1]*a[3,4]*a[4,3]^2+a[1,2 ]*a[1,3]*a[3,3]^2*a[4,1]*a[4,4]-a[1,2]*a[1,3]*a[3,3]*a[3,4]*a[4,1]*a[4,3]-a[1,2 ]*a[1,3]*a[3,3]*a[4,1]*a[4,4]^2+a[1,2]*a[1,3]*a[3,4]*a[4,1]*a[4,3]*a[4,4]-a[1,2 ]*a[1,4]*a[2,1]*a[2,2]*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[4,2]^2-a[1,2 ]*a[1,4]*a[2,1]*a[3,2]*a[4,3]^2+a[1,2]*a[1,4]*a[2,1]*a[3,3]*a[4,2]*a[4,3]+a[1,2 ]*a[1,4]*a[2,2]^2*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[4,1]*a[4,2]-a[1,2 ]*a[1,4]*a[2,2]*a[3,3]*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,2]*a[4,1]*a[4,3]*a[4,4]+ 2*a[1,2]*a[1,4]*a[2,3]*a[3,2]*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,3]*a[3,3]*a[4,1]* a[4,2]+2*a[1,2]*a[1,4]*a[2,3]*a[4,1]*a[4,2]*a[4,4]-a[1,2]*a[1,4]*a[2,4]*a[4,1]* a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[3,3]*a[4,1]*a[4,3]*a[4,4]-a[1,2]*a[1,4]*a[3,4]*a[ 4,1]*a[4,3]^2+a[1,3]^2*a[2,1]*a[3,2]^2*a[4,3]-a[1,3]^2*a[2,1]*a[3,2]*a[3,3]*a[4 ,2]+a[1,3]^2*a[2,1]*a[3,2]*a[4,2]*a[4,4]-a[1,3]^2*a[2,1]*a[3,4]*a[4,2]^2-a[1,3] ^2*a[2,2]*a[3,1]*a[3,2]*a[4,3]+a[1,3]^2*a[2,2]*a[3,2]*a[3,3]*a[4,1]-a[1,3]^2*a[ 2,2]*a[3,2]*a[4,1]*a[4,4]+a[1,3]^2*a[2,3]*a[3,1]*a[3,2]*a[4,2]-a[1,3]^2*a[2,3]* a[3,2]^2*a[4,1]+a[1,3]^2*a[2,4]*a[3,2]*a[4,1]*a[4,2]+a[1,3]^2*a[3,1]*a[3,2]*a[4 ,3]*a[4,4]-a[1,3]^2*a[3,1]*a[3,4]*a[4,2]*a[4,3]-a[1,3]^2*a[3,2]*a[3,3]*a[4,1]*a [4,4]+a[1,3]^2*a[3,2]*a[4,1]*a[4,4]^2+a[1,3]^2*a[3,3]*a[3,4]*a[4,1]*a[4,2]-a[1, 3]^2*a[3,4]*a[4,1]*a[4,2]*a[4,4]-a[1,3]*a[1,4]*a[2,2]*a[3,1]*a[4,2]*a[4,3]+a[1, 3]*a[1,4]*a[2,2]*a[3,2]*a[4,1]*a[4,3]+a[1,3]*a[1,4]*a[2,2]*a[3,3]*a[4,1]*a[4,2] -a[1,3]*a[1,4]*a[2,2]*a[4,1]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[4,2]^2 -2*a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,1]*a[4,2]+a[1,3]*a[1,4]*a[2,4]*a[4,1]*a[4,2] ^2-a[1,3]*a[1,4]*a[3,1]*a[3,2]*a[4,3]^2+a[1,3]*a[1,4]*a[3,1]*a[3,3]*a[4,2]*a[4, 3]+a[1,3]*a[1,4]*a[3,2]*a[3,3]*a[4,1]*a[4,3]-2*a[1,3]*a[1,4]*a[3,2]*a[4,1]*a[4, 3]*a[4,4]-a[1,3]*a[1,4]*a[3,3]^2*a[4,1]*a[4,2]+a[1,3]*a[1,4]*a[3,3]*a[4,1]*a[4, 2]*a[4,4]+a[1,3]*a[1,4]*a[3,4]*a[4,1]*a[4,2]*a[4,3]+a[1,4]^2*a[2,2]*a[4,1]*a[4, 2]*a[4,3]-a[1,4]^2*a[2,3]*a[4,1]*a[4,2]^2+a[1,4]^2*a[3,2]*a[4,1]*a[4,3]^2-a[1,4 ]^2*a[3,3]*a[4,1]*a[4,2]*a[4,3])*X[2,3]+X[4,1]*(a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2 ,4]*a[4,3]-a[1,1]*a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[4,2]+a[1,1]*a[1,2]*a[1,3]*a[2,3 ]*a[3,4]*a[4,3]-a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,3]-a[1,1]*a[1,2]*a[1,4]* a[2,2]*a[2,3]*a[4,3]+a[1,1]*a[1,2]*a[1,4]*a[2,3]^2*a[4,2]+a[1,1]*a[1,2]*a[1,4]* a[2,3]*a[4,3]*a[4,4]-a[1,1]*a[1,2]*a[1,4]*a[2,4]*a[4,3]^2-a[1,1]*a[1,3]^2*a[2,3 ]*a[3,4]*a[4,2]+a[1,1]*a[1,3]^2*a[2,4]*a[3,2]*a[4,3]-a[1,1]*a[1,3]*a[1,4]*a[2,3 ]*a[3,2]*a[4,3]+a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[3,3]*a[4,2]-a[1,1]*a[1,3]*a[1,4]* a[2,3]*a[4,2]*a[4,4]+a[1,1]*a[1,3]*a[1,4]*a[2,4]*a[4,2]*a[4,3]-a[1,2]^2*a[1,3]* a[2,1]*a[2,4]*a[4,3]+a[1,2]^2*a[1,3]*a[2,3]*a[2,4]*a[4,1]+a[1,2]^2*a[1,4]*a[2,1 ]*a[2,3]*a[4,3]-a[1,2]^2*a[1,4]*a[2,3]^2*a[4,1]+a[1,2]^2*a[2,3]^2*a[3,4]*a[4,3] -a[1,2]^2*a[2,3]*a[2,4]*a[3,3]*a[4,3]+a[1,2]^2*a[2,3]*a[2,4]*a[4,3]*a[4,4]-a[1, 2]^2*a[2,4]^2*a[4,3]^2+a[1,2]*a[1,3]^2*a[2,1]*a[2,4]*a[4,2]-a[1,2]*a[1,3]^2*a[2 ,1]*a[3,4]*a[4,3]-a[1,2]*a[1,3]^2*a[2,2]*a[2,4]*a[4,1]+a[1,2]*a[1,3]^2*a[2,4]*a [3,3]*a[4,1]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[4,2]+a[1,2]*a[1,3]*a[1,4]*a[2 ,1]*a[3,3]*a[4,3]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[4,3]*a[4,4]+a[1,2]*a[1,3]*a[1,4 ]*a[2,2]*a[2,3]*a[4,1]-a[1,2]*a[1,3]*a[1,4]*a[2,3]*a[3,3]*a[4,1]+a[1,2]*a[1,3]* a[1,4]*a[2,4]*a[4,1]*a[4,3]-a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,3]-a[1,2]*a[ 1,3]*a[2,2]*a[2,4]*a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[2,3]^2*a[3,4]*a[4,2]+a[1,2]*a[ 1,3]*a[2,3]*a[2,4]*a[3,2]*a[4,3]+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,3]*a[4,2]+a[1, 2]*a[1,3]*a[2,4]^2*a[4,2]*a[4,3]+a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,3]*a[4,4]-a[1, 2]*a[1,3]*a[2,4]*a[3,4]*a[4,3]^2+a[1,2]*a[1,4]^2*a[2,1]*a[4,3]^2-a[1,2]*a[1,4]^ 2*a[2,3]*a[4,1]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,3]*a[4,3]+a[1,2]*a[1,4]* a[2,2]*a[2,4]*a[4,3]^2-a[1,2]*a[1,4]*a[2,3]^2*a[3,2]*a[4,3]-a[1,2]*a[1,4]*a[2,3 ]^2*a[4,2]*a[4,4]-a[1,2]*a[1,4]*a[2,3]*a[3,3]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,3 ]*a[3,4]*a[4,3]^2+a[1,3]^3*a[2,1]*a[3,4]*a[4,2]-a[1,3]^3*a[2,4]*a[3,2]*a[4,1]-a [1,3]^2*a[1,4]*a[2,1]*a[3,3]*a[4,2]+a[1,3]^2*a[1,4]*a[2,1]*a[4,2]*a[4,4]+a[1,3] ^2*a[1,4]*a[2,3]*a[3,2]*a[4,1]-a[1,3]^2*a[1,4]*a[2,4]*a[4,1]*a[4,2]+a[1,3]^2*a[ 2,2]*a[2,3]*a[3,4]*a[4,2]-a[1,3]^2*a[2,3]*a[2,4]*a[3,2]*a[4,2]-a[1,3]^2*a[2,4]* a[3,2]*a[4,3]*a[4,4]+a[1,3]^2*a[2,4]*a[3,4]*a[4,2]*a[4,3]-a[1,3]*a[1,4]^2*a[2,1 ]*a[4,2]*a[4,3]+a[1,3]*a[1,4]^2*a[2,3]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,2]*a[2,3 ]*a[3,3]*a[4,2]+a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,3]^ 2*a[3,2]*a[4,2]-a[1,3]*a[1,4]*a[2,3]*a[2,4]*a[4,2]^2+a[1,3]*a[1,4]*a[2,3]*a[3,2 ]*a[4,3]*a[4,4]-a[1,3]*a[1,4]*a[2,3]*a[3,4]*a[4,2]*a[4,3]+a[1,3]*a[1,4]*a[2,4]* a[3,2]*a[4,3]^2-a[1,3]*a[1,4]*a[2,4]*a[3,3]*a[4,2]*a[4,3]-a[1,4]^2*a[2,2]*a[2,3 ]*a[4,2]*a[4,3]+a[1,4]^2*a[2,3]^2*a[4,2]^2-a[1,4]^2*a[2,3]*a[3,2]*a[4,3]^2+a[1, 4]^2*a[2,3]*a[3,3]*a[4,2]*a[4,3]) = 0 ------------------------------------ Theorem number, 15, : let, {X[1, 2], X[1, 3], X[2, 3], X[4, 2]}, be the entri\ es of an ARBITRARY power of the general matrix M, we always have the lin\ ear relation 2 (-a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 3] a[3, 3] a[4, 2] 2 - a[1, 1] a[1, 3] a[2, 3] a[4, 2] a[4, 4] 2 + a[1, 1] a[1, 3] a[2, 4] a[4, 2] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[4, 1] + a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[4, 1] a[4, 4] - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 2] a[4, 3] 2 + a[1, 1] a[1, 2] a[2, 3] a[3, 3] a[4, 2] 2 - a[1, 1] a[1, 2] a[2, 3] a[4, 2] a[4, 4] + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[4, 2] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 1] a[3, 2] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 1] a[3, 3] a[4, 2] 2 + a[1, 1] a[1, 3] a[2, 1] a[4, 2] a[4, 4] 2 - a[1, 1] a[1, 3] a[2, 3] a[3, 1] a[4, 2] 2 + a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[4, 1] 2 - a[1, 1] a[1, 3] a[2, 4] a[4, 1] a[4, 2] - a[1, 1] a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 3] + a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[4, 1] a[4, 2] + a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[3, 3] a[4, 2] + a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[4, 2] a[4, 4] - a[1, 1] a[1, 3] a[2, 2] a[2, 4] a[4, 2] a[4, 3] + a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[4, 3] a[4, 4] - a[1, 1] a[1, 3] a[2, 3] a[3, 3] a[4, 2] a[4, 4] 2 + a[1, 1] a[1, 3] a[2, 3] a[4, 2] a[4, 4] - a[1, 1] a[1, 3] a[2, 4] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 1] a[1, 4] a[2, 3] a[3, 2] a[4, 3] + a[1, 1] a[1, 4] a[2, 3] a[3, 3] a[4, 2] a[4, 3] - a[1, 1] a[1, 4] a[2, 3] a[4, 2] a[4, 3] a[4, 4] 2 + a[1, 1] a[1, 4] a[2, 4] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 2] a[2, 3] a[3, 1] a[4, 3] - a[1, 2] a[2, 3] a[3, 3] a[4, 1] 2 2 + a[1, 2] a[2, 3] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 1] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 1] a[4, 1] a[4, 4] 2 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 1] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[4, 1] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[4, 1] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 1] a[4, 3] 2 + a[1, 2] a[2, 3] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 3] a[4, 2] a[4, 4] 2 2 + a[1, 2] a[2, 3] a[4, 2] a[4, 4] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 3] + a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 2] a[4, 3] - 2 a[1, 2] a[2, 3] a[2, 4] a[4, 2] a[4, 3] a[4, 4] 2 2 3 + a[1, 2] a[2, 4] a[4, 2] a[4, 3] + a[1, 3] a[2, 1] a[3, 1] a[4, 2] 3 2 2 - a[1, 3] a[2, 1] a[3, 2] a[4, 1] - a[1, 3] a[2, 1] a[2, 4] a[4, 2] 2 - a[1, 3] a[2, 1] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 1] a[3, 3] a[4, 2] a[4, 4] 2 2 - a[1, 3] a[2, 1] a[4, 2] a[4, 4] 2 + a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[4, 2] 2 - a[1, 3] a[2, 2] a[2, 3] a[3, 2] a[4, 1] 2 + a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 2] 2 + a[1, 3] a[2, 4] a[3, 1] a[4, 2] a[4, 3] 2 - a[1, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 2] 2 + a[1, 3] a[2, 4] a[4, 1] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 3] + 2 a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 3] a[4, 4] - a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 3] + a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 3] a[4, 1] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 2] a[4, 3] - a[1, 3] a[2, 2] a[2, 3] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[2, 2] a[2, 3] a[3, 3] a[4, 2] a[4, 4] 2 - a[1, 3] a[2, 2] a[2, 3] a[4, 2] a[4, 4] + a[1, 3] a[2, 2] a[2, 4] a[4, 2] a[4, 3] a[4, 4] + a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 3] a[2, 3] a[2, 4] a[3, 3] a[4, 2] 2 + a[1, 3] a[2, 3] a[2, 4] a[4, 2] a[4, 4] 2 2 2 2 - a[1, 3] a[2, 4] a[4, 2] a[4, 3] - a[1, 4] a[2, 1] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 3] a[4, 1] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 2] a[2, 3] a[3, 2] a[4, 3] - a[1, 4] a[2, 2] a[2, 3] a[3, 3] a[4, 2] a[4, 3] + a[1, 4] a[2, 2] a[2, 3] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 4] a[2, 2] a[2, 4] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 3] a[3, 2] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 4] a[2, 3] a[3, 3] a[4, 2] - a[1, 4] a[2, 3] a[4, 2] a[4, 4] 2 + a[1, 4] a[2, 3] a[2, 4] a[4, 2] a[4, 3]) X[1, 2] + ( 2 a[1, 1] a[1, 2] a[2, 3] a[3, 2] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 3] a[4, 2] 2 + a[1, 1] a[1, 2] a[2, 3] a[4, 2] a[4, 4] 2 - a[1, 1] a[1, 2] a[2, 4] a[4, 2] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[4, 3] 2 + a[1, 1] a[1, 2] a[2, 3] a[3, 3] a[4, 1] 2 - a[1, 1] a[1, 2] a[2, 3] a[4, 1] a[4, 4] 2 + a[1, 1] a[1, 2] a[2, 4] a[4, 1] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 2] - a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[4, 2] a[4, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[4, 2] - a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[4, 1] + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 2] + a[1, 1] a[1, 2] a[1, 4] a[2, 1] a[4, 2] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 2] - a[1, 1] a[1, 2] a[2, 3] a[3, 2] a[3, 3] a[4, 3] - a[1, 1] a[1, 2] a[2, 3] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 1] a[1, 2] a[2, 3] a[3, 3] a[4, 2] 2 - a[1, 1] a[1, 2] a[2, 3] a[4, 2] a[4, 4] + a[1, 1] a[1, 2] a[2, 4] a[3, 3] a[4, 2] a[4, 3] + a[1, 1] a[1, 2] a[2, 4] a[4, 2] a[4, 3] a[4, 4] 2 + a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[3, 3] a[4, 2] + a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[4, 2] a[4, 4] - a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 2] a[4, 3] + a[1, 1] a[1, 4] a[2, 3] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 1] a[1, 4] a[2, 3] a[3, 3] a[4, 2] 2 + a[1, 1] a[1, 4] a[2, 3] a[4, 2] a[4, 4] 2 - a[1, 1] a[1, 4] a[2, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 1] a[4, 1] a[4, 4] 2 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 1] 2 - a[1, 2] a[1, 4] a[2, 1] a[4, 1] a[4, 3] 2 2 + a[1, 2] a[1, 4] a[2, 3] a[4, 1] 2 + a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 3] 2 2 - a[1, 2] a[2, 3] a[3, 3] a[4, 1] 2 + a[1, 2] a[2, 3] a[3, 3] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 2 + a[1, 2] a[2, 4] a[3, 1] a[4, 3] 2 - a[1, 2] a[2, 4] a[3, 3] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 1] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[4, 1] + a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[4, 3] a[4, 4] - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[4, 2] a[4, 4] - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[3, 3] a[4, 2] + 2 a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 2] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 1] a[3, 2] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[4, 2] a[4, 3] a[4, 4] - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 3] + 2 a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 2] a[4, 4] + a[1, 2] a[2, 3] a[3, 2] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 3] a[4, 2] a[4, 4] + a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[2, 3] a[3, 3] a[4, 2] a[4, 4] - a[1, 2] a[2, 3] a[3, 4] a[4, 2] a[4, 3] a[4, 4] - a[1, 2] a[2, 4] a[3, 3] a[4, 2] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 2] 2 2 - a[1, 3] a[2, 3] a[3, 2] a[4, 1] 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] - 2 a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 1] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[2, 3] a[3, 2] a[3, 3] a[4, 2] a[4, 4] + a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 3] a[2, 3] a[3, 2] a[4, 2] a[4, 4] 2 - a[1, 3] a[2, 3] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 4] a[4, 2] a[4, 4] + a[1, 3] a[2, 4] a[3, 2] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 4] a[2, 1] a[4, 2] a[4, 3] - a[1, 4] a[2, 3] a[4, 1] a[4, 2] 2 2 + a[1, 4] a[2, 3] a[3, 2] a[4, 3] - 2 a[1, 4] a[2, 3] a[3, 2] a[3, 3] a[4, 2] a[4, 3] + a[1, 4] a[2, 3] a[3, 2] a[4, 2] a[4, 3] a[4, 4] 2 2 + a[1, 4] a[2, 3] a[3, 3] a[4, 2] 2 - a[1, 4] a[2, 3] a[3, 3] a[4, 2] a[4, 4] 2 - a[1, 4] a[2, 4] a[3, 2] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 3]) X[1, 3] + ( 2 a[1, 1] a[1, 2] a[2, 3] a[3, 2] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 3] a[4, 2] 2 + a[1, 1] a[1, 2] a[2, 3] a[4, 2] a[4, 4] 2 - a[1, 1] a[1, 2] a[2, 4] a[4, 2] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[3, 2] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 2] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[4, 2] a[4, 4] 2 + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[3, 2] a[3, 3] a[4, 3] 2 - a[1, 1] a[1, 2] a[1, 3] a[3, 3] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[3, 3] a[4, 2] a[4, 4] - a[1, 1] a[1, 2] a[1, 3] a[3, 4] a[4, 2] a[4, 3] + a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[4, 2] a[4, 3] 2 - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[4, 2] 2 + a[1, 1] a[1, 2] a[1, 4] a[3, 2] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[3, 3] a[4, 2] a[4, 3] 2 2 - a[1, 1] a[1, 3] a[3, 2] a[4, 3] 2 + a[1, 1] a[1, 3] a[3, 2] a[3, 3] a[4, 2] 2 - a[1, 1] a[1, 3] a[3, 2] a[4, 2] a[4, 4] 2 2 3 + a[1, 1] a[1, 3] a[3, 4] a[4, 2] - a[1, 2] a[2, 3] a[3, 1] a[4, 3] 3 3 + a[1, 2] a[2, 3] a[3, 3] a[4, 1] - a[1, 2] a[2, 3] a[4, 1] a[4, 4] 3 + a[1, 2] a[2, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 2] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 2] 2 - a[1, 2] a[1, 3] a[3, 1] a[3, 3] a[4, 3] 2 2 + a[1, 2] a[1, 3] a[3, 3] a[4, 1] 2 - a[1, 2] a[1, 3] a[3, 3] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 2] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 2] 2 2 - a[1, 2] a[1, 4] a[3, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[3, 3] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 3] a[3, 3] a[4, 2] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 2] a[2, 3] a[4, 2] a[4, 4] + a[1, 2] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 2] a[2, 4] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 2] a[3, 1] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 2] a[4, 1] 2 + a[1, 2] a[1, 3] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[3, 1] a[3, 3] a[4, 2] 2 - 2 a[1, 2] a[1, 3] a[3, 2] a[3, 3] a[4, 1] 2 + a[1, 2] a[1, 3] a[3, 2] a[4, 1] a[4, 4] 2 - a[1, 2] a[1, 3] a[3, 4] a[4, 1] a[4, 2] + 2 a[1, 2] a[1, 3] a[1, 4] a[3, 1] a[4, 2] a[4, 3] - 2 a[1, 2] a[1, 3] a[1, 4] a[3, 2] a[4, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[3, 2] a[4, 3] a[4, 4] - a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 2] a[4, 2] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 2] - 2 a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 4] - a[1, 2] a[1, 3] a[3, 2] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[3, 2] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[3, 3] a[4, 2] a[4, 4] - a[1, 2] a[1, 3] a[3, 3] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[3, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 3] a[3, 4] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 2] a[3, 2] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[4, 2] a[4, 3] a[4, 4] + 2 a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 2] 2 + 2 a[1, 2] a[1, 4] a[2, 3] a[4, 2] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[3, 3] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[3, 4] a[4, 2] a[4, 3] 3 3 2 - a[1, 3] a[3, 1] a[3, 2] a[4, 2] + a[1, 3] a[3, 2] a[4, 1] 2 2 - a[1, 3] a[1, 4] a[3, 1] a[4, 2] 2 + a[1, 3] a[1, 4] a[3, 2] a[4, 1] a[4, 2] 2 2 2 2 - a[1, 3] a[2, 2] a[3, 4] a[4, 2] + a[1, 3] a[2, 4] a[3, 2] a[4, 2] 2 2 + a[1, 3] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[3, 2] a[3, 3] a[4, 2] a[4, 4] 2 - a[1, 3] a[3, 2] a[3, 4] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 3] a[3, 2] a[4, 2] a[4, 4] + a[1, 3] a[3, 3] a[3, 4] a[4, 2] 2 2 - a[1, 3] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 2] a[3, 3] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 2] a[4, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 2] 3 2 2 + a[1, 3] a[1, 4] a[2, 4] a[4, 2] - a[1, 3] a[1, 4] a[3, 2] a[4, 3] + 2 a[1, 3] a[1, 4] a[3, 2] a[3, 3] a[4, 2] a[4, 3] - 2 a[1, 3] a[1, 4] a[3, 2] a[4, 2] a[4, 3] a[4, 4] 2 2 - a[1, 3] a[1, 4] a[3, 3] a[4, 2] 2 + a[1, 3] a[1, 4] a[3, 3] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[3, 4] a[4, 2] a[4, 3] 2 2 2 3 + a[1, 4] a[2, 2] a[4, 2] a[4, 3] - a[1, 4] a[2, 3] a[4, 2] 2 2 2 2 + a[1, 4] a[3, 2] a[4, 2] a[4, 3] - a[1, 4] a[3, 3] a[4, 2] a[4, 3]) X[2, 3] + X[4, 2] (a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 3] 2 + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[4, 2] + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[4, 3] a[4, 4] 2 - a[1, 1] a[1, 2] a[1, 4] a[2, 4] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 3] + a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 2] - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[4, 2] a[4, 4] + a[1, 1] a[1, 3] a[1, 4] a[2, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 1] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 3] 2 2 2 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 1] + a[1, 2] a[2, 3] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 3] 2 2 2 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 3] a[4, 4] - a[1, 2] a[2, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[4, 2] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[4, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 3] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 3] 2 2 + a[1, 2] a[1, 4] a[2, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 3] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 2] a[4, 4] - a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 3] 3 3 + a[1, 3] a[2, 1] a[3, 4] a[4, 2] - a[1, 3] a[2, 4] a[3, 2] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 2] 2 + a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 3] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 3] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 4] a[2, 2] a[2, 3] a[4, 2] a[4, 3] + a[1, 4] a[2, 3] a[4, 2] 2 2 - a[1, 4] a[2, 3] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 3] a[4, 2] a[4, 3]) = 0 in Maple notation (-a[1,1]^2*a[1,3]*a[2,3]*a[3,2]*a[4,3]+a[1,1]^2*a[1,3]*a[2,3]*a[3,3]*a[4,2]-a[1 ,1]^2*a[1,3]*a[2,3]*a[4,2]*a[4,4]+a[1,1]^2*a[1,3]*a[2,4]*a[4,2]*a[4,3]+a[1,1]*a [1,2]*a[1,3]*a[2,3]*a[3,1]*a[4,3]-a[1,1]*a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[4,1]+a[1 ,1]*a[1,2]*a[1,3]*a[2,3]*a[4,1]*a[4,4]-a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[4,1]*a[4,3 ]-a[1,1]*a[1,2]*a[2,3]^2*a[3,2]*a[4,3]+a[1,1]*a[1,2]*a[2,3]^2*a[3,3]*a[4,2]-a[1 ,1]*a[1,2]*a[2,3]^2*a[4,2]*a[4,4]+a[1,1]*a[1,2]*a[2,3]*a[2,4]*a[4,2]*a[4,3]+a[1 ,1]*a[1,3]^2*a[2,1]*a[3,2]*a[4,3]-a[1,1]*a[1,3]^2*a[2,1]*a[3,3]*a[4,2]+a[1,1]*a [1,3]^2*a[2,1]*a[4,2]*a[4,4]-a[1,1]*a[1,3]^2*a[2,3]*a[3,1]*a[4,2]+a[1,1]*a[1,3] ^2*a[2,3]*a[3,2]*a[4,1]-a[1,1]*a[1,3]^2*a[2,4]*a[4,1]*a[4,2]-a[1,1]*a[1,3]*a[1, 4]*a[2,1]*a[4,2]*a[4,3]+a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[4,1]*a[4,2]+a[1,1]*a[1,3] *a[2,2]*a[2,3]*a[3,2]*a[4,3]-a[1,1]*a[1,3]*a[2,2]*a[2,3]*a[3,3]*a[4,2]+a[1,1]*a [1,3]*a[2,2]*a[2,3]*a[4,2]*a[4,4]-a[1,1]*a[1,3]*a[2,2]*a[2,4]*a[4,2]*a[4,3]+a[1 ,1]*a[1,3]*a[2,3]*a[3,2]*a[4,3]*a[4,4]-a[1,1]*a[1,3]*a[2,3]*a[3,3]*a[4,2]*a[4,4 ]+a[1,1]*a[1,3]*a[2,3]*a[4,2]*a[4,4]^2-a[1,1]*a[1,3]*a[2,4]*a[4,2]*a[4,3]*a[4,4 ]-a[1,1]*a[1,4]*a[2,3]*a[3,2]*a[4,3]^2+a[1,1]*a[1,4]*a[2,3]*a[3,3]*a[4,2]*a[4,3 ]-a[1,1]*a[1,4]*a[2,3]*a[4,2]*a[4,3]*a[4,4]+a[1,1]*a[1,4]*a[2,4]*a[4,2]*a[4,3]^ 2+a[1,2]^2*a[2,3]^2*a[3,1]*a[4,3]-a[1,2]^2*a[2,3]^2*a[3,3]*a[4,1]+a[1,2]^2*a[2, 3]^2*a[4,1]*a[4,4]-a[1,2]^2*a[2,3]*a[2,4]*a[4,1]*a[4,3]-a[1,2]*a[1,3]^2*a[2,1]* a[3,1]*a[4,3]+a[1,2]*a[1,3]^2*a[2,1]*a[3,3]*a[4,1]-a[1,2]*a[1,3]^2*a[2,1]*a[4,1 ]*a[4,4]+a[1,2]*a[1,3]^2*a[2,4]*a[4,1]^2+a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[4,1]*a[4 ,3]-a[1,2]*a[1,3]*a[1,4]*a[2,3]*a[4,1]^2+a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[4,2]*a[4 ,3]-a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,1]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,3 ]*a[4,1]-a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[4,1]*a[4,4]-a[1,2]*a[1,3]*a[2,3]^2*a[3,1 ]*a[4,2]+a[1,2]*a[1,3]*a[2,3]^2*a[3,2]*a[4,1]-a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[4,3 ]^2+a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[4,2 ]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[4,1]*a[4,3]+a[1,2]*a[1,4]*a[2,3]*a[3,1]* a[4,3]^2-a[1,2]*a[1,4]*a[2,3]*a[3,3]*a[4,1]*a[4,3]+a[1,2]*a[2,3]^2*a[3,2]*a[4,3 ]*a[4,4]-a[1,2]*a[2,3]^2*a[3,3]*a[4,2]*a[4,4]+a[1,2]*a[2,3]^2*a[4,2]*a[4,4]^2-a [1,2]*a[2,3]*a[2,4]*a[3,2]*a[4,3]^2+a[1,2]*a[2,3]*a[2,4]*a[3,3]*a[4,2]*a[4,3]-2 *a[1,2]*a[2,3]*a[2,4]*a[4,2]*a[4,3]*a[4,4]+a[1,2]*a[2,4]^2*a[4,2]*a[4,3]^2+a[1, 3]^3*a[2,1]*a[3,1]*a[4,2]-a[1,3]^3*a[2,1]*a[3,2]*a[4,1]-a[1,3]^2*a[2,1]*a[2,4]* a[4,2]^2-a[1,3]^2*a[2,1]*a[3,2]*a[4,3]*a[4,4]+a[1,3]^2*a[2,1]*a[3,3]*a[4,2]*a[4 ,4]-a[1,3]^2*a[2,1]*a[4,2]*a[4,4]^2+a[1,3]^2*a[2,2]*a[2,3]*a[3,1]*a[4,2]-a[1,3] ^2*a[2,2]*a[2,3]*a[3,2]*a[4,1]+a[1,3]^2*a[2,2]*a[2,4]*a[4,1]*a[4,2]+a[1,3]^2*a[ 2,4]*a[3,1]*a[4,2]*a[4,3]-a[1,3]^2*a[2,4]*a[3,3]*a[4,1]*a[4,2]+a[1,3]^2*a[2,4]* a[4,1]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[4,2]^2+a[1,3]*a[1,4]*a[2,1]* a[3,2]*a[4,3]^2-a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,2]*a[4,3]+2*a[1,3]*a[1,4]*a[2,1 ]*a[4,2]*a[4,3]*a[4,4]-a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[4,1]*a[4,2]-a[1,3]*a[1,4]* a[2,3]*a[3,1]*a[4,2]*a[4,3]+a[1,3]*a[1,4]*a[2,3]*a[3,3]*a[4,1]*a[4,2]-a[1,3]*a[ 1,4]*a[2,3]*a[4,1]*a[4,2]*a[4,4]-a[1,3]*a[1,4]*a[2,4]*a[4,1]*a[4,2]*a[4,3]-a[1, 3]*a[2,2]*a[2,3]*a[3,2]*a[4,3]*a[4,4]+a[1,3]*a[2,2]*a[2,3]*a[3,3]*a[4,2]*a[4,4] -a[1,3]*a[2,2]*a[2,3]*a[4,2]*a[4,4]^2+a[1,3]*a[2,2]*a[2,4]*a[4,2]*a[4,3]*a[4,4] +a[1,3]*a[2,3]*a[2,4]*a[3,2]*a[4,2]*a[4,3]-a[1,3]*a[2,3]*a[2,4]*a[3,3]*a[4,2]^2 +a[1,3]*a[2,3]*a[2,4]*a[4,2]^2*a[4,4]-a[1,3]*a[2,4]^2*a[4,2]^2*a[4,3]-a[1,4]^2* a[2,1]*a[4,2]*a[4,3]^2+a[1,4]^2*a[2,3]*a[4,1]*a[4,2]*a[4,3]+a[1,4]*a[2,2]*a[2,3 ]*a[3,2]*a[4,3]^2-a[1,4]*a[2,2]*a[2,3]*a[3,3]*a[4,2]*a[4,3]+a[1,4]*a[2,2]*a[2,3 ]*a[4,2]*a[4,3]*a[4,4]-a[1,4]*a[2,2]*a[2,4]*a[4,2]*a[4,3]^2-a[1,4]*a[2,3]^2*a[3 ,2]*a[4,2]*a[4,3]+a[1,4]*a[2,3]^2*a[3,3]*a[4,2]^2-a[1,4]*a[2,3]^2*a[4,2]^2*a[4, 4]+a[1,4]*a[2,3]*a[2,4]*a[4,2]^2*a[4,3])*X[1,2]+(a[1,1]^2*a[1,2]*a[2,3]*a[3,2]* a[4,3]-a[1,1]^2*a[1,2]*a[2,3]*a[3,3]*a[4,2]+a[1,1]^2*a[1,2]*a[2,3]*a[4,2]*a[4,4 ]-a[1,1]^2*a[1,2]*a[2,4]*a[4,2]*a[4,3]-a[1,1]*a[1,2]^2*a[2,3]*a[3,1]*a[4,3]+a[1 ,1]*a[1,2]^2*a[2,3]*a[3,3]*a[4,1]-a[1,1]*a[1,2]^2*a[2,3]*a[4,1]*a[4,4]+a[1,1]*a [1,2]^2*a[2,4]*a[4,1]*a[4,3]-a[1,1]*a[1,2]*a[1,3]*a[2,1]*a[3,2]*a[4,3]+a[1,1]*a [1,2]*a[1,3]*a[2,1]*a[3,3]*a[4,2]-a[1,1]*a[1,2]*a[1,3]*a[2,1]*a[4,2]*a[4,4]+a[1 ,1]*a[1,2]*a[1,3]*a[2,3]*a[3,1]*a[4,2]-a[1,1]*a[1,2]*a[1,3]*a[2,3]*a[3,2]*a[4,1 ]+a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[4,1]*a[4,2]+a[1,1]*a[1,2]*a[1,4]*a[2,1]*a[4,2]* a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[4,1]*a[4,2]-a[1,1]*a[1,2]*a[2,3]*a[3,2]*a[ 3,3]*a[4,3]-a[1,1]*a[1,2]*a[2,3]*a[3,2]*a[4,3]*a[4,4]+a[1,1]*a[1,2]*a[2,3]*a[3, 3]^2*a[4,2]-a[1,1]*a[1,2]*a[2,3]*a[4,2]*a[4,4]^2+a[1,1]*a[1,2]*a[2,4]*a[3,3]*a[ 4,2]*a[4,3]+a[1,1]*a[1,2]*a[2,4]*a[4,2]*a[4,3]*a[4,4]+a[1,1]*a[1,3]*a[2,3]*a[3, 2]^2*a[4,3]-a[1,1]*a[1,3]*a[2,3]*a[3,2]*a[3,3]*a[4,2]+a[1,1]*a[1,3]*a[2,3]*a[3, 2]*a[4,2]*a[4,4]-a[1,1]*a[1,3]*a[2,4]*a[3,2]*a[4,2]*a[4,3]+a[1,1]*a[1,4]*a[2,3] *a[3,2]*a[4,2]*a[4,3]-a[1,1]*a[1,4]*a[2,3]*a[3,3]*a[4,2]^2+a[1,1]*a[1,4]*a[2,3] *a[4,2]^2*a[4,4]-a[1,1]*a[1,4]*a[2,4]*a[4,2]^2*a[4,3]+a[1,2]^2*a[1,3]*a[2,1]*a[ 3,1]*a[4,3]-a[1,2]^2*a[1,3]*a[2,1]*a[3,3]*a[4,1]+a[1,2]^2*a[1,3]*a[2,1]*a[4,1]* a[4,4]-a[1,2]^2*a[1,3]*a[2,4]*a[4,1]^2-a[1,2]^2*a[1,4]*a[2,1]*a[4,1]*a[4,3]+a[1 ,2]^2*a[1,4]*a[2,3]*a[4,1]^2+a[1,2]^2*a[2,3]*a[3,1]*a[3,3]*a[4,3]-a[1,2]^2*a[2, 3]*a[3,3]^2*a[4,1]+a[1,2]^2*a[2,3]*a[3,3]*a[4,1]*a[4,4]-a[1,2]^2*a[2,3]*a[3,4]* a[4,1]*a[4,3]+a[1,2]^2*a[2,4]*a[3,1]*a[4,3]^2-a[1,2]^2*a[2,4]*a[3,3]*a[4,1]*a[4 ,3]-a[1,2]*a[1,3]^2*a[2,1]*a[3,1]*a[4,2]+a[1,2]*a[1,3]^2*a[2,1]*a[3,2]*a[4,1]+a [1,2]*a[1,3]*a[2,1]*a[3,2]*a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[2,1]*a[3,3]*a[4,2]*a[4 ,4]+a[1,2]*a[1,3]*a[2,1]*a[3,4]*a[4,2]*a[4,3]+a[1,2]*a[1,3]*a[2,1]*a[4,2]*a[4,4 ]^2-a[1,2]*a[1,3]*a[2,3]*a[3,1]*a[3,2]*a[4,3]-a[1,2]*a[1,3]*a[2,3]*a[3,1]*a[3,3 ]*a[4,2]+2*a[1,2]*a[1,3]*a[2,3]*a[3,2]*a[3,3]*a[4,1]-a[1,2]*a[1,3]*a[2,3]*a[3,2 ]*a[4,1]*a[4,4]+a[1,2]*a[1,3]*a[2,3]*a[3,4]*a[4,1]*a[4,2]-a[1,2]*a[1,3]*a[2,4]* a[3,1]*a[4,2]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[4,1]*a[4,2]*a[4,4]-a[1,2]*a[1,4]*a[ 2,1]*a[3,2]*a[4,3]^2-a[1,2]*a[1,4]*a[2,1]*a[4,2]*a[4,3]*a[4,4]-a[1,2]*a[1,4]*a[ 2,3]*a[3,1]*a[4,2]*a[4,3]+2*a[1,2]*a[1,4]*a[2,3]*a[3,2]*a[4,1]*a[4,3]+a[1,2]*a[ 1,4]*a[2,3]*a[4,1]*a[4,2]*a[4,4]+a[1,2]*a[2,3]*a[3,2]*a[3,3]*a[4,3]*a[4,4]-a[1, 2]*a[2,3]*a[3,2]*a[3,4]*a[4,3]^2-a[1,2]*a[2,3]*a[3,3]^2*a[4,2]*a[4,4]+a[1,2]*a[ 2,3]*a[3,3]*a[3,4]*a[4,2]*a[4,3]+a[1,2]*a[2,3]*a[3,3]*a[4,2]*a[4,4]^2-a[1,2]*a[ 2,3]*a[3,4]*a[4,2]*a[4,3]*a[4,4]-a[1,2]*a[2,4]*a[3,3]*a[4,2]*a[4,3]*a[4,4]+a[1, 2]*a[2,4]*a[3,4]*a[4,2]*a[4,3]^2-a[1,3]^2*a[2,1]*a[3,4]*a[4,2]^2+a[1,3]^2*a[2,3 ]*a[3,1]*a[3,2]*a[4,2]-a[1,3]^2*a[2,3]*a[3,2]^2*a[4,1]+a[1,3]^2*a[2,4]*a[3,2]*a [4,1]*a[4,2]+a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,2]^2-a[1,3]*a[1,4]*a[2,1]*a[4,2]^2 *a[4,4]+a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[4,2]^2-2*a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4, 1]*a[4,2]+a[1,3]*a[1,4]*a[2,4]*a[4,1]*a[4,2]^2-a[1,3]*a[2,3]*a[3,2]^2*a[4,3]*a[ 4,4]+a[1,3]*a[2,3]*a[3,2]*a[3,3]*a[4,2]*a[4,4]+a[1,3]*a[2,3]*a[3,2]*a[3,4]*a[4, 2]*a[4,3]-a[1,3]*a[2,3]*a[3,2]*a[4,2]*a[4,4]^2-a[1,3]*a[2,3]*a[3,3]*a[3,4]*a[4, 2]^2+a[1,3]*a[2,3]*a[3,4]*a[4,2]^2*a[4,4]+a[1,3]*a[2,4]*a[3,2]*a[4,2]*a[4,3]*a[ 4,4]-a[1,3]*a[2,4]*a[3,4]*a[4,2]^2*a[4,3]+a[1,4]^2*a[2,1]*a[4,2]^2*a[4,3]-a[1,4 ]^2*a[2,3]*a[4,1]*a[4,2]^2+a[1,4]*a[2,3]*a[3,2]^2*a[4,3]^2-2*a[1,4]*a[2,3]*a[3, 2]*a[3,3]*a[4,2]*a[4,3]+a[1,4]*a[2,3]*a[3,2]*a[4,2]*a[4,3]*a[4,4]+a[1,4]*a[2,3] *a[3,3]^2*a[4,2]^2-a[1,4]*a[2,3]*a[3,3]*a[4,2]^2*a[4,4]-a[1,4]*a[2,4]*a[3,2]*a[ 4,2]*a[4,3]^2+a[1,4]*a[2,4]*a[3,3]*a[4,2]^2*a[4,3])*X[1,3]+(a[1,1]*a[1,2]^2*a[2 ,3]*a[3,2]*a[4,3]-a[1,1]*a[1,2]^2*a[2,3]*a[3,3]*a[4,2]+a[1,1]*a[1,2]^2*a[2,3]*a [4,2]*a[4,4]-a[1,1]*a[1,2]^2*a[2,4]*a[4,2]*a[4,3]-a[1,1]*a[1,2]*a[1,3]*a[2,2]*a [3,2]*a[4,3]+a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[3,3]*a[4,2]-a[1,1]*a[1,2]*a[1,3]*a[2 ,2]*a[4,2]*a[4,4]+a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[4,2]^2+a[1,1]*a[1,2]*a[1,3]*a[3 ,2]*a[3,3]*a[4,3]-a[1,1]*a[1,2]*a[1,3]*a[3,3]^2*a[4,2]+a[1,1]*a[1,2]*a[1,3]*a[3 ,3]*a[4,2]*a[4,4]-a[1,1]*a[1,2]*a[1,3]*a[3,4]*a[4,2]*a[4,3]+a[1,1]*a[1,2]*a[1,4 ]*a[2,2]*a[4,2]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[4,2]^2+a[1,1]*a[1,2]*a[1,4 ]*a[3,2]*a[4,3]^2-a[1,1]*a[1,2]*a[1,4]*a[3,3]*a[4,2]*a[4,3]-a[1,1]*a[1,3]^2*a[3 ,2]^2*a[4,3]+a[1,1]*a[1,3]^2*a[3,2]*a[3,3]*a[4,2]-a[1,1]*a[1,3]^2*a[3,2]*a[4,2] *a[4,4]+a[1,1]*a[1,3]^2*a[3,4]*a[4,2]^2-a[1,2]^3*a[2,3]*a[3,1]*a[4,3]+a[1,2]^3* a[2,3]*a[3,3]*a[4,1]-a[1,2]^3*a[2,3]*a[4,1]*a[4,4]+a[1,2]^3*a[2,4]*a[4,1]*a[4,3 ]+a[1,2]^2*a[1,3]*a[2,2]*a[3,1]*a[4,3]-a[1,2]^2*a[1,3]*a[2,2]*a[3,3]*a[4,1]+a[1 ,2]^2*a[1,3]*a[2,2]*a[4,1]*a[4,4]+a[1,2]^2*a[1,3]*a[2,3]*a[3,1]*a[4,2]-a[1,2]^2 *a[1,3]*a[2,3]*a[3,2]*a[4,1]-a[1,2]^2*a[1,3]*a[2,4]*a[4,1]*a[4,2]-a[1,2]^2*a[1, 3]*a[3,1]*a[3,3]*a[4,3]+a[1,2]^2*a[1,3]*a[3,3]^2*a[4,1]-a[1,2]^2*a[1,3]*a[3,3]* a[4,1]*a[4,4]+a[1,2]^2*a[1,3]*a[3,4]*a[4,1]*a[4,3]-a[1,2]^2*a[1,4]*a[2,2]*a[4,1 ]*a[4,3]+a[1,2]^2*a[1,4]*a[2,3]*a[4,1]*a[4,2]-a[1,2]^2*a[1,4]*a[3,1]*a[4,3]^2+a [1,2]^2*a[1,4]*a[3,3]*a[4,1]*a[4,3]-a[1,2]^2*a[2,3]*a[3,2]*a[4,3]*a[4,4]+a[1,2] ^2*a[2,3]*a[3,3]*a[4,2]*a[4,4]-a[1,2]^2*a[2,3]*a[3,4]*a[4,2]*a[4,3]-a[1,2]^2*a[ 2,3]*a[4,2]*a[4,4]^2+a[1,2]^2*a[2,4]*a[3,2]*a[4,3]^2+a[1,2]^2*a[2,4]*a[4,2]*a[4 ,3]*a[4,4]-a[1,2]*a[1,3]^2*a[2,2]*a[3,1]*a[4,2]+a[1,2]*a[1,3]^2*a[2,2]*a[3,2]*a [4,1]+a[1,2]*a[1,3]^2*a[3,1]*a[3,2]*a[4,3]+a[1,2]*a[1,3]^2*a[3,1]*a[3,3]*a[4,2] -2*a[1,2]*a[1,3]^2*a[3,2]*a[3,3]*a[4,1]+a[1,2]*a[1,3]^2*a[3,2]*a[4,1]*a[4,4]-a[ 1,2]*a[1,3]^2*a[3,4]*a[4,1]*a[4,2]+2*a[1,2]*a[1,3]*a[1,4]*a[3,1]*a[4,2]*a[4,3]-\ 2*a[1,2]*a[1,3]*a[1,4]*a[3,2]*a[4,1]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[3,2]*a[4,3]* a[4,4]-a[1,2]*a[1,3]*a[2,2]*a[3,3]*a[4,2]*a[4,4]+a[1,2]*a[1,3]*a[2,2]*a[3,4]*a[ 4,2]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[4,2]*a[4,4]^2+a[1,2]*a[1,3]*a[2,3]*a[3,4]*a[ 4,2]^2-2*a[1,2]*a[1,3]*a[2,4]*a[3,2]*a[4,2]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[4,2]^ 2*a[4,4]-a[1,2]*a[1,3]*a[3,2]*a[3,3]*a[4,3]*a[4,4]+a[1,2]*a[1,3]*a[3,2]*a[3,4]* a[4,3]^2+a[1,2]*a[1,3]*a[3,3]^2*a[4,2]*a[4,4]-a[1,2]*a[1,3]*a[3,3]*a[3,4]*a[4,2 ]*a[4,3]-a[1,2]*a[1,3]*a[3,3]*a[4,2]*a[4,4]^2+a[1,2]*a[1,3]*a[3,4]*a[4,2]*a[4,3 ]*a[4,4]-a[1,2]*a[1,4]*a[2,2]*a[3,2]*a[4,3]^2-a[1,2]*a[1,4]*a[2,2]*a[4,2]*a[4,3 ]*a[4,4]+2*a[1,2]*a[1,4]*a[2,3]*a[3,2]*a[4,2]*a[4,3]-a[1,2]*a[1,4]*a[2,3]*a[3,3 ]*a[4,2]^2+2*a[1,2]*a[1,4]*a[2,3]*a[4,2]^2*a[4,4]-a[1,2]*a[1,4]*a[2,4]*a[4,2]^2 *a[4,3]+a[1,2]*a[1,4]*a[3,3]*a[4,2]*a[4,3]*a[4,4]-a[1,2]*a[1,4]*a[3,4]*a[4,2]*a [4,3]^2-a[1,3]^3*a[3,1]*a[3,2]*a[4,2]+a[1,3]^3*a[3,2]^2*a[4,1]-a[1,3]^2*a[1,4]* a[3,1]*a[4,2]^2+a[1,3]^2*a[1,4]*a[3,2]*a[4,1]*a[4,2]-a[1,3]^2*a[2,2]*a[3,4]*a[4 ,2]^2+a[1,3]^2*a[2,4]*a[3,2]*a[4,2]^2+a[1,3]^2*a[3,2]^2*a[4,3]*a[4,4]-a[1,3]^2* a[3,2]*a[3,3]*a[4,2]*a[4,4]-a[1,3]^2*a[3,2]*a[3,4]*a[4,2]*a[4,3]+a[1,3]^2*a[3,2 ]*a[4,2]*a[4,4]^2+a[1,3]^2*a[3,3]*a[3,4]*a[4,2]^2-a[1,3]^2*a[3,4]*a[4,2]^2*a[4, 4]+a[1,3]*a[1,4]*a[2,2]*a[3,3]*a[4,2]^2-a[1,3]*a[1,4]*a[2,2]*a[4,2]^2*a[4,4]-a[ 1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,2]^2+a[1,3]*a[1,4]*a[2,4]*a[4,2]^3-a[1,3]*a[1,4]* a[3,2]^2*a[4,3]^2+2*a[1,3]*a[1,4]*a[3,2]*a[3,3]*a[4,2]*a[4,3]-2*a[1,3]*a[1,4]*a [3,2]*a[4,2]*a[4,3]*a[4,4]-a[1,3]*a[1,4]*a[3,3]^2*a[4,2]^2+a[1,3]*a[1,4]*a[3,3] *a[4,2]^2*a[4,4]+a[1,3]*a[1,4]*a[3,4]*a[4,2]^2*a[4,3]+a[1,4]^2*a[2,2]*a[4,2]^2* a[4,3]-a[1,4]^2*a[2,3]*a[4,2]^3+a[1,4]^2*a[3,2]*a[4,2]*a[4,3]^2-a[1,4]^2*a[3,3] *a[4,2]^2*a[4,3])*X[2,3]+X[4,2]*(a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,3]-a[1, 1]*a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[4,2]+a[1,1]*a[1,2]*a[1,3]*a[2,3]*a[3,4]*a[4,3] -a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,2]*a[2,3]*a [4,3]+a[1,1]*a[1,2]*a[1,4]*a[2,3]^2*a[4,2]+a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[4,3]*a [4,4]-a[1,1]*a[1,2]*a[1,4]*a[2,4]*a[4,3]^2-a[1,1]*a[1,3]^2*a[2,3]*a[3,4]*a[4,2] +a[1,1]*a[1,3]^2*a[2,4]*a[3,2]*a[4,3]-a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,3] +a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[3,3]*a[4,2]-a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[4,2]*a [4,4]+a[1,1]*a[1,3]*a[1,4]*a[2,4]*a[4,2]*a[4,3]-a[1,2]^2*a[1,3]*a[2,1]*a[2,4]*a [4,3]+a[1,2]^2*a[1,3]*a[2,3]*a[2,4]*a[4,1]+a[1,2]^2*a[1,4]*a[2,1]*a[2,3]*a[4,3] -a[1,2]^2*a[1,4]*a[2,3]^2*a[4,1]+a[1,2]^2*a[2,3]^2*a[3,4]*a[4,3]-a[1,2]^2*a[2,3 ]*a[2,4]*a[3,3]*a[4,3]+a[1,2]^2*a[2,3]*a[2,4]*a[4,3]*a[4,4]-a[1,2]^2*a[2,4]^2*a [4,3]^2+a[1,2]*a[1,3]^2*a[2,1]*a[2,4]*a[4,2]-a[1,2]*a[1,3]^2*a[2,1]*a[3,4]*a[4, 3]-a[1,2]*a[1,3]^2*a[2,2]*a[2,4]*a[4,1]+a[1,2]*a[1,3]^2*a[2,4]*a[3,3]*a[4,1]-a[ 1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[4,2]+a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4, 3]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[4,3]*a[4,4]+a[1,2]*a[1,3]*a[1,4]*a[2,2]*a[2,3] *a[4,1]-a[1,2]*a[1,3]*a[1,4]*a[2,3]*a[3,3]*a[4,1]+a[1,2]*a[1,3]*a[1,4]*a[2,4]*a [4,1]*a[4,3]-a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,3]-a[1,2]*a[1,3]*a[2,2]*a[2 ,4]*a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[2,3]^2*a[3,4]*a[4,2]+a[1,2]*a[1,3]*a[2,3]*a[2 ,4]*a[3,2]*a[4,3]+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,3]*a[4,2]+a[1,2]*a[1,3]*a[2,4 ]^2*a[4,2]*a[4,3]+a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[2,4 ]*a[3,4]*a[4,3]^2+a[1,2]*a[1,4]^2*a[2,1]*a[4,3]^2-a[1,2]*a[1,4]^2*a[2,3]*a[4,1] *a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,3]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,4]*a [4,3]^2-a[1,2]*a[1,4]*a[2,3]^2*a[3,2]*a[4,3]-a[1,2]*a[1,4]*a[2,3]^2*a[4,2]*a[4, 4]-a[1,2]*a[1,4]*a[2,3]*a[3,3]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,3] ^2+a[1,3]^3*a[2,1]*a[3,4]*a[4,2]-a[1,3]^3*a[2,4]*a[3,2]*a[4,1]-a[1,3]^2*a[1,4]* a[2,1]*a[3,3]*a[4,2]+a[1,3]^2*a[1,4]*a[2,1]*a[4,2]*a[4,4]+a[1,3]^2*a[1,4]*a[2,3 ]*a[3,2]*a[4,1]-a[1,3]^2*a[1,4]*a[2,4]*a[4,1]*a[4,2]+a[1,3]^2*a[2,2]*a[2,3]*a[3 ,4]*a[4,2]-a[1,3]^2*a[2,3]*a[2,4]*a[3,2]*a[4,2]-a[1,3]^2*a[2,4]*a[3,2]*a[4,3]*a [4,4]+a[1,3]^2*a[2,4]*a[3,4]*a[4,2]*a[4,3]-a[1,3]*a[1,4]^2*a[2,1]*a[4,2]*a[4,3] +a[1,3]*a[1,4]^2*a[2,3]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[3,3]*a[4,2] +a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,3]^2*a[3,2]*a[4,2] -a[1,3]*a[1,4]*a[2,3]*a[2,4]*a[4,2]^2+a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,3]*a[4,4] -a[1,3]*a[1,4]*a[2,3]*a[3,4]*a[4,2]*a[4,3]+a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,3]^2 -a[1,3]*a[1,4]*a[2,4]*a[3,3]*a[4,2]*a[4,3]-a[1,4]^2*a[2,2]*a[2,3]*a[4,2]*a[4,3] +a[1,4]^2*a[2,3]^2*a[4,2]^2-a[1,4]^2*a[2,3]*a[3,2]*a[4,3]^2+a[1,4]^2*a[2,3]*a[3 ,3]*a[4,2]*a[4,3]) = 0 ------------------------------------ Theorem number, 16, : let, {X[1, 2], X[1, 3], X[2, 3], X[4, 3]}, be the entri\ es of an ARBITRARY power of the general matrix M, we always have the lin\ ear relation 2 2 2 (a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[4, 3] - a[1, 1] a[1, 3] a[2, 3] a[4, 2] 2 - a[1, 1] a[1, 3] a[2, 3] a[4, 3] a[4, 4] 2 2 + a[1, 1] a[1, 3] a[2, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[4, 3] 2 + a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[4, 1] 2 + a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[4, 3] 3 - a[1, 1] a[1, 2] a[2, 3] a[4, 2] 2 - a[1, 1] a[1, 2] a[2, 3] a[4, 3] a[4, 4] 2 + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 1] a[2, 2] a[4, 3] 2 + 2 a[1, 1] a[1, 3] a[2, 1] a[2, 3] a[4, 2] 2 + a[1, 1] a[1, 3] a[2, 1] a[4, 3] a[4, 4] 2 - a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[4, 1] 2 + a[1, 1] a[1, 3] a[2, 3] a[4, 1] a[4, 4] 2 - 2 a[1, 1] a[1, 3] a[2, 4] a[4, 1] a[4, 3] 2 - a[1, 1] a[1, 3] a[1, 4] a[2, 1] a[4, 3] + a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[4, 1] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[4, 2] 2 - a[1, 1] a[1, 3] a[2, 2] a[2, 4] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 3] a[4, 2] a[4, 4] 2 + a[1, 1] a[1, 3] a[2, 3] a[4, 3] a[4, 4] 2 - a[1, 1] a[1, 3] a[2, 4] a[4, 3] a[4, 4] 2 + a[1, 1] a[1, 4] a[2, 2] a[2, 3] a[4, 3] 2 - a[1, 1] a[1, 4] a[2, 3] a[4, 2] a[4, 3] 2 - a[1, 1] a[1, 4] a[2, 3] a[4, 3] a[4, 4] 3 2 2 + a[1, 1] a[1, 4] a[2, 4] a[4, 3] - a[1, 2] a[2, 1] a[2, 3] a[4, 3] 2 3 2 2 + a[1, 2] a[2, 3] a[4, 1] + a[1, 2] a[1, 3] a[2, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[4, 1] + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[2, 3] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[4, 2] 2 + 2 a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 3] 2 - 2 a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 3] a[4, 1] a[4, 4] - 3 a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 1] a[4, 3] 2 - 2 a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 3] 2 + 2 a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 2] a[2, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 2] a[2, 3] a[2, 4] a[4, 3] 3 + a[1, 2] a[2, 3] a[4, 2] a[4, 4] 2 - a[1, 2] a[2, 3] a[2, 4] a[4, 2] a[4, 3] 2 2 + a[1, 2] a[2, 3] a[4, 3] a[4, 4] 2 2 3 - 2 a[1, 2] a[2, 3] a[2, 4] a[4, 3] a[4, 4] + a[1, 2] a[2, 4] a[4, 3] 3 2 3 - a[1, 3] a[2, 1] a[4, 2] + a[1, 3] a[2, 1] a[2, 2] a[4, 1] 3 3 2 - a[1, 3] a[2, 1] a[4, 1] a[4, 4] + a[1, 3] a[2, 4] a[4, 1] 2 + a[1, 3] a[1, 4] a[2, 1] a[4, 1] a[4, 3] 2 2 - a[1, 3] a[1, 4] a[2, 3] a[4, 1] 2 - a[1, 3] a[2, 1] a[2, 2] a[2, 3] a[4, 2] 2 + a[1, 3] a[2, 1] a[2, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[2, 1] a[2, 3] a[4, 2] a[4, 4] 2 - 2 a[1, 3] a[2, 1] a[2, 4] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 3] a[2, 1] a[4, 3] a[4, 4] + a[1, 3] a[2, 2] a[2, 3] a[4, 1] 2 - a[1, 3] a[2, 2] a[2, 3] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 + 2 a[1, 3] a[2, 3] a[2, 4] a[4, 1] a[4, 2] 2 + a[1, 3] a[2, 4] a[4, 1] a[4, 3] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 3] + 3 a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[4, 2] a[4, 3] 2 + 2 a[1, 3] a[1, 4] a[2, 1] a[4, 3] a[4, 4] 2 - 2 a[1, 3] a[1, 4] a[2, 3] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 3] a[4, 1] a[4, 3] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 3] 2 + a[1, 3] a[2, 2] a[2, 3] a[4, 3] a[4, 4] 2 - a[1, 3] a[2, 2] a[2, 3] a[4, 2] a[4, 4] - a[1, 3] a[2, 2] a[2, 3] a[2, 4] a[4, 2] a[4, 3] 2 - a[1, 3] a[2, 2] a[2, 3] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 2] a[2, 4] a[4, 3] a[4, 4] 2 2 + a[1, 3] a[2, 3] a[2, 4] a[4, 2] + a[1, 3] a[2, 3] a[2, 4] a[4, 2] a[4, 3] a[4, 4] 2 2 2 3 - a[1, 3] a[2, 4] a[4, 2] a[4, 3] - a[1, 4] a[2, 1] a[4, 3] 2 2 2 2 + a[1, 4] a[2, 3] a[4, 1] a[4, 3] - a[1, 4] a[2, 2] a[2, 3] a[4, 3] 2 + 2 a[1, 4] a[2, 2] a[2, 3] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 2] a[2, 3] a[4, 3] a[4, 4] 3 3 2 - a[1, 4] a[2, 2] a[2, 4] a[4, 3] - a[1, 4] a[2, 3] a[4, 2] 2 - a[1, 4] a[2, 3] a[4, 2] a[4, 3] a[4, 4] 2 + a[1, 4] a[2, 3] a[2, 4] a[4, 2] a[4, 3] ) X[1, 2] + ( 2 -a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[4, 3] 2 2 + a[1, 1] a[1, 2] a[2, 3] a[4, 2] 2 + a[1, 1] a[1, 2] a[2, 3] a[4, 3] a[4, 4] 2 2 - a[1, 1] a[1, 2] a[2, 4] a[4, 3] 2 + a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[4, 3] 2 2 - a[1, 1] a[1, 2] a[2, 3] a[4, 1] + a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[4, 3] - 2 a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[4, 2] - a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[4, 3] a[4, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[4, 1] - a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[4, 1] a[4, 4] + 2 a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 3] 2 + a[1, 1] a[1, 2] a[1, 4] a[2, 1] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 3] + a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 3] a[4, 3] + a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[4, 3] a[4, 4] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 3] a[4, 2] 2 - a[1, 1] a[1, 2] a[2, 3] a[4, 2] a[4, 4] - a[1, 1] a[1, 2] a[2, 3] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 1] a[1, 2] a[2, 3] a[4, 3] a[4, 4] 2 + a[1, 1] a[1, 2] a[2, 4] a[3, 3] a[4, 3] 2 + a[1, 1] a[1, 2] a[2, 4] a[4, 3] a[4, 4] - a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[3, 2] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[4, 2] + a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 3] - a[1, 1] a[1, 4] a[2, 2] a[2, 3] a[4, 2] a[4, 3] 2 2 + a[1, 1] a[1, 4] a[2, 3] a[4, 2] + a[1, 1] a[1, 4] a[2, 3] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 1] a[1, 4] a[2, 4] a[4, 2] a[4, 3] 2 2 - a[1, 2] a[1, 3] a[2, 1] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[4, 1] 2 - a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[4, 3] 2 2 2 2 - a[1, 2] a[2, 1] a[2, 4] a[4, 3] + a[1, 2] a[2, 3] a[3, 3] a[4, 1] 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 3] 2 2 + a[1, 2] a[1, 3] a[2, 1] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 1] a[4, 1] a[4, 4] 2 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[4, 3] a[4, 4] + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 3] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[4, 3] a[4, 4] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 3] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[4, 1] - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 1] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 1] a[4, 3] a[4, 4] - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 3] a[4, 4] - a[1, 2] a[2, 2] a[2, 3] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 2] a[2, 3] a[3, 4] a[4, 3] 2 + a[1, 2] a[2, 3] a[3, 3] a[4, 2] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[2, 3] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 4] a[3, 3] a[4, 3] a[4, 4] 3 + a[1, 2] a[2, 4] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 3] a[2, 2] a[2, 3] a[3, 2] a[4, 1] 2 - a[1, 3] a[2, 3] a[3, 2] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 3] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 3] a[4, 4] + a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 1] a[4, 2] + a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 2] a[4, 3] + a[1, 3] a[2, 2] a[2, 3] a[3, 2] a[4, 3] a[4, 4] - a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 3] a[2, 3] a[3, 2] a[4, 2] a[4, 4] 2 2 + a[1, 3] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[2, 3] a[3, 4] a[4, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 2 + a[1, 4] a[2, 1] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 3] a[4, 1] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 2] a[2, 3] a[3, 2] a[4, 3] + a[1, 4] a[2, 2] a[2, 3] a[3, 3] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 2] a[4, 2] a[4, 3] 2 2 - a[1, 4] a[2, 3] a[3, 3] a[4, 2] 2 + a[1, 4] a[2, 3] a[3, 2] a[4, 3] a[4, 4] - a[1, 4] a[2, 3] a[3, 3] a[4, 2] a[4, 3] a[4, 4] 3 - a[1, 4] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 3] ) X[1, 3] + ( 2 -a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[4, 3] 2 2 + a[1, 1] a[1, 2] a[2, 3] a[4, 2] 2 + a[1, 1] a[1, 2] a[2, 3] a[4, 3] a[4, 4] 2 2 - a[1, 1] a[1, 2] a[2, 4] a[4, 3] 2 + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[4, 2] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[4, 3] a[4, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 1] a[1, 2] a[1, 3] a[3, 4] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 2] a[3, 2] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[4, 2] 2 - a[1, 1] a[1, 3] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 1] a[1, 3] a[3, 4] a[4, 2] a[4, 3] + a[1, 1] a[1, 3] a[1, 4] a[2, 2] a[4, 2] a[4, 3] 2 - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[4, 2] 2 + a[1, 1] a[1, 3] a[1, 4] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[1, 4] a[3, 3] a[4, 2] a[4, 3] 3 3 2 + a[1, 2] a[2, 1] a[2, 3] a[4, 3] - a[1, 2] a[2, 3] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 3] 2 + 2 a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 3] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 3] 2 2 + a[1, 2] a[1, 4] a[2, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 3] 2 + a[1, 2] a[2, 2] a[2, 3] a[4, 3] a[4, 4] 2 2 2 2 - a[1, 2] a[2, 2] a[2, 4] a[4, 3] - a[1, 2] a[2, 3] a[4, 2] a[4, 4] 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 3] - a[1, 2] a[2, 3] a[4, 3] a[4, 4] 2 2 2 2 + a[1, 2] a[2, 4] a[3, 3] a[4, 3] + a[1, 2] a[2, 4] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 2] 2 2 - a[1, 2] a[1, 3] a[2, 2] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 2] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 2] 2 - a[1, 2] a[1, 3] a[3, 3] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[3, 4] a[4, 1] a[4, 3] - 2 a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 3] + 2 a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[4, 1] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 2] a[4, 3] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 2] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 2] - a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[4, 2] a[4, 4] + 2 a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[3, 4] a[4, 3] a[4, 4] 2 2 + a[1, 2] a[1, 4] a[2, 2] a[4, 3] - 2 a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 2] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 2] a[4, 3] a[4, 4] 2 2 + a[1, 2] a[1, 4] a[2, 3] a[4, 2] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 3] + 2 a[1, 2] a[1, 4] a[2, 3] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[3, 3] a[4, 3] a[4, 4] 3 3 - a[1, 2] a[1, 4] a[3, 4] a[4, 3] + a[1, 3] a[2, 1] a[3, 2] a[4, 2] 3 3 - a[1, 3] a[2, 2] a[3, 2] a[4, 1] + a[1, 3] a[3, 2] a[4, 1] a[4, 4] 3 2 2 - a[1, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 2] a[4, 1] a[4, 2] 2 - a[1, 3] a[1, 4] a[3, 2] a[4, 1] a[4, 3] 2 + a[1, 3] a[1, 4] a[3, 3] a[4, 1] a[4, 2] 2 - a[1, 3] a[2, 2] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 3] a[3, 2] a[4, 2] a[4, 4] 2 2 - a[1, 3] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 2] a[4, 3] 2 2 + a[1, 3] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[3, 4] a[4, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 2] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 2] a[4, 2] a[4, 3] a[4, 4] - 2 a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 4] a[4, 2] a[4, 3] 2 - 2 a[1, 3] a[1, 4] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[1, 4] a[3, 3] a[4, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[1, 4] a[3, 4] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 4] a[2, 2] a[4, 2] a[4, 3] - a[1, 4] a[2, 3] a[4, 2] a[4, 3] 2 3 2 2 + a[1, 4] a[3, 2] a[4, 3] - a[1, 4] a[3, 3] a[4, 2] a[4, 3] ) X[2, 3] + X[4, 3] (a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 3] 2 + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[4, 2] + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[4, 3] a[4, 4] 2 - a[1, 1] a[1, 2] a[1, 4] a[2, 4] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 3] + a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 2] - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[4, 2] a[4, 4] + a[1, 1] a[1, 3] a[1, 4] a[2, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 1] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 3] 2 2 2 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 1] + a[1, 2] a[2, 3] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 3] 2 2 2 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 3] a[4, 4] - a[1, 2] a[2, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[4, 2] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[4, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 3] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 3] 2 2 + a[1, 2] a[1, 4] a[2, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 3] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 2] a[4, 4] - a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 3] 3 3 + a[1, 3] a[2, 1] a[3, 4] a[4, 2] - a[1, 3] a[2, 4] a[3, 2] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 2] 2 + a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 3] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 3] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 4] a[2, 2] a[2, 3] a[4, 2] a[4, 3] + a[1, 4] a[2, 3] a[4, 2] 2 2 - a[1, 4] a[2, 3] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 3] a[4, 2] a[4, 3]) = 0 in Maple notation (a[1,1]^2*a[1,3]*a[2,2]*a[2,3]*a[4,3]-a[1,1]^2*a[1,3]*a[2,3]^2*a[4,2]-a[1,1]^2* a[1,3]*a[2,3]*a[4,3]*a[4,4]+a[1,1]^2*a[1,3]*a[2,4]*a[4,3]^2-a[1,1]*a[1,2]*a[1,3 ]*a[2,1]*a[2,3]*a[4,3]+a[1,1]*a[1,2]*a[1,3]*a[2,3]^2*a[4,1]+a[1,1]*a[1,2]*a[2,2 ]*a[2,3]^2*a[4,3]-a[1,1]*a[1,2]*a[2,3]^3*a[4,2]-a[1,1]*a[1,2]*a[2,3]^2*a[4,3]*a [4,4]+a[1,1]*a[1,2]*a[2,3]*a[2,4]*a[4,3]^2-a[1,1]*a[1,3]^2*a[2,1]*a[2,2]*a[4,3] +2*a[1,1]*a[1,3]^2*a[2,1]*a[2,3]*a[4,2]+a[1,1]*a[1,3]^2*a[2,1]*a[4,3]*a[4,4]-a[ 1,1]*a[1,3]^2*a[2,2]*a[2,3]*a[4,1]+a[1,1]*a[1,3]^2*a[2,3]*a[4,1]*a[4,4]-2*a[1,1 ]*a[1,3]^2*a[2,4]*a[4,1]*a[4,3]-a[1,1]*a[1,3]*a[1,4]*a[2,1]*a[4,3]^2+a[1,1]*a[1 ,3]*a[1,4]*a[2,3]*a[4,1]*a[4,3]-a[1,1]*a[1,3]*a[2,2]^2*a[2,3]*a[4,3]+a[1,1]*a[1 ,3]*a[2,2]*a[2,3]^2*a[4,2]-a[1,1]*a[1,3]*a[2,2]*a[2,4]*a[4,3]^2+a[1,1]*a[1,3]*a [2,3]^2*a[4,2]*a[4,4]+a[1,1]*a[1,3]*a[2,3]*a[4,3]*a[4,4]^2-a[1,1]*a[1,3]*a[2,4] *a[4,3]^2*a[4,4]+a[1,1]*a[1,4]*a[2,2]*a[2,3]*a[4,3]^2-a[1,1]*a[1,4]*a[2,3]^2*a[ 4,2]*a[4,3]-a[1,1]*a[1,4]*a[2,3]*a[4,3]^2*a[4,4]+a[1,1]*a[1,4]*a[2,4]*a[4,3]^3- a[1,2]^2*a[2,1]*a[2,3]^2*a[4,3]+a[1,2]^2*a[2,3]^3*a[4,1]+a[1,2]*a[1,3]^2*a[2,1] ^2*a[4,3]-a[1,2]*a[1,3]^2*a[2,1]*a[2,3]*a[4,1]+a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[2, 3]*a[4,3]+a[1,2]*a[1,3]*a[2,1]*a[2,3]^2*a[4,2]+2*a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[ 4,3]^2-2*a[1,2]*a[1,3]*a[2,2]*a[2,3]^2*a[4,1]+a[1,2]*a[1,3]*a[2,3]^2*a[4,1]*a[4 ,4]-3*a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[4,1]*a[4,3]-2*a[1,2]*a[1,4]*a[2,1]*a[2,3]*a [4,3]^2+2*a[1,2]*a[1,4]*a[2,3]^2*a[4,1]*a[4,3]-a[1,2]*a[2,2]*a[2,3]^2*a[4,3]*a[ 4,4]+a[1,2]*a[2,2]*a[2,3]*a[2,4]*a[4,3]^2+a[1,2]*a[2,3]^3*a[4,2]*a[4,4]-a[1,2]* a[2,3]^2*a[2,4]*a[4,2]*a[4,3]+a[1,2]*a[2,3]^2*a[4,3]*a[4,4]^2-2*a[1,2]*a[2,3]*a [2,4]*a[4,3]^2*a[4,4]+a[1,2]*a[2,4]^2*a[4,3]^3-a[1,3]^3*a[2,1]^2*a[4,2]+a[1,3]^ 3*a[2,1]*a[2,2]*a[4,1]-a[1,3]^3*a[2,1]*a[4,1]*a[4,4]+a[1,3]^3*a[2,4]*a[4,1]^2+a [1,3]^2*a[1,4]*a[2,1]*a[4,1]*a[4,3]-a[1,3]^2*a[1,4]*a[2,3]*a[4,1]^2-a[1,3]^2*a[ 2,1]*a[2,2]*a[2,3]*a[4,2]+a[1,3]^2*a[2,1]*a[2,2]*a[4,3]*a[4,4]-a[1,3]^2*a[2,1]* a[2,3]*a[4,2]*a[4,4]-2*a[1,3]^2*a[2,1]*a[2,4]*a[4,2]*a[4,3]-a[1,3]^2*a[2,1]*a[4 ,3]*a[4,4]^2+a[1,3]^2*a[2,2]^2*a[2,3]*a[4,1]-a[1,3]^2*a[2,2]*a[2,3]*a[4,1]*a[4, 4]+a[1,3]^2*a[2,2]*a[2,4]*a[4,1]*a[4,3]+2*a[1,3]^2*a[2,3]*a[2,4]*a[4,1]*a[4,2]+ a[1,3]^2*a[2,4]*a[4,1]*a[4,3]*a[4,4]-a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[4,3]^2+3*a[1 ,3]*a[1,4]*a[2,1]*a[2,3]*a[4,2]*a[4,3]+2*a[1,3]*a[1,4]*a[2,1]*a[4,3]^2*a[4,4]-2 *a[1,3]*a[1,4]*a[2,3]^2*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,3]*a[4,1]*a[4,3]*a[4,4] -a[1,3]*a[1,4]*a[2,4]*a[4,1]*a[4,3]^2+a[1,3]*a[2,2]^2*a[2,3]*a[4,3]*a[4,4]-a[1, 3]*a[2,2]*a[2,3]^2*a[4,2]*a[4,4]-a[1,3]*a[2,2]*a[2,3]*a[2,4]*a[4,2]*a[4,3]-a[1, 3]*a[2,2]*a[2,3]*a[4,3]*a[4,4]^2+a[1,3]*a[2,2]*a[2,4]*a[4,3]^2*a[4,4]+a[1,3]*a[ 2,3]^2*a[2,4]*a[4,2]^2+a[1,3]*a[2,3]*a[2,4]*a[4,2]*a[4,3]*a[4,4]-a[1,3]*a[2,4]^ 2*a[4,2]*a[4,3]^2-a[1,4]^2*a[2,1]*a[4,3]^3+a[1,4]^2*a[2,3]*a[4,1]*a[4,3]^2-a[1, 4]*a[2,2]^2*a[2,3]*a[4,3]^2+2*a[1,4]*a[2,2]*a[2,3]^2*a[4,2]*a[4,3]+a[1,4]*a[2,2 ]*a[2,3]*a[4,3]^2*a[4,4]-a[1,4]*a[2,2]*a[2,4]*a[4,3]^3-a[1,4]*a[2,3]^3*a[4,2]^2 -a[1,4]*a[2,3]^2*a[4,2]*a[4,3]*a[4,4]+a[1,4]*a[2,3]*a[2,4]*a[4,2]*a[4,3]^2)*X[1 ,2]+(-a[1,1]^2*a[1,2]*a[2,2]*a[2,3]*a[4,3]+a[1,1]^2*a[1,2]*a[2,3]^2*a[4,2]+a[1, 1]^2*a[1,2]*a[2,3]*a[4,3]*a[4,4]-a[1,1]^2*a[1,2]*a[2,4]*a[4,3]^2+a[1,1]*a[1,2]^ 2*a[2,1]*a[2,3]*a[4,3]-a[1,1]*a[1,2]^2*a[2,3]^2*a[4,1]+a[1,1]*a[1,2]*a[1,3]*a[2 ,1]*a[2,2]*a[4,3]-2*a[1,1]*a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[4,2]-a[1,1]*a[1,2]*a[1 ,3]*a[2,1]*a[4,3]*a[4,4]+a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[4,1]-a[1,1]*a[1,2 ]*a[1,3]*a[2,3]*a[4,1]*a[4,4]+2*a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[4,1]*a[4,3]+a[1,1 ]*a[1,2]*a[1,4]*a[2,1]*a[4,3]^2-a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[4,1]*a[4,3]+a[1,1 ]*a[1,2]*a[2,2]*a[2,3]*a[3,3]*a[4,3]+a[1,1]*a[1,2]*a[2,2]*a[2,3]*a[4,3]*a[4,4]- a[1,1]*a[1,2]*a[2,3]^2*a[3,3]*a[4,2]-a[1,1]*a[1,2]*a[2,3]^2*a[4,2]*a[4,4]-a[1,1 ]*a[1,2]*a[2,3]*a[3,3]*a[4,3]*a[4,4]-a[1,1]*a[1,2]*a[2,3]*a[4,3]*a[4,4]^2+a[1,1 ]*a[1,2]*a[2,4]*a[3,3]*a[4,3]^2+a[1,1]*a[1,2]*a[2,4]*a[4,3]^2*a[4,4]-a[1,1]*a[1 ,3]*a[2,2]*a[2,3]*a[3,2]*a[4,3]+a[1,1]*a[1,3]*a[2,3]^2*a[3,2]*a[4,2]+a[1,1]*a[1 ,3]*a[2,3]*a[3,2]*a[4,3]*a[4,4]-a[1,1]*a[1,3]*a[2,4]*a[3,2]*a[4,3]^2-a[1,1]*a[1 ,4]*a[2,2]*a[2,3]*a[4,2]*a[4,3]+a[1,1]*a[1,4]*a[2,3]^2*a[4,2]^2+a[1,1]*a[1,4]*a [2,3]*a[4,2]*a[4,3]*a[4,4]-a[1,1]*a[1,4]*a[2,4]*a[4,2]*a[4,3]^2-a[1,2]^2*a[1,3] *a[2,1]^2*a[4,3]+a[1,2]^2*a[1,3]*a[2,1]*a[2,3]*a[4,1]-a[1,2]^2*a[2,1]*a[2,3]*a[ 3,3]*a[4,3]-a[1,2]^2*a[2,1]*a[2,4]*a[4,3]^2+a[1,2]^2*a[2,3]^2*a[3,3]*a[4,1]+a[1 ,2]^2*a[2,3]*a[2,4]*a[4,1]*a[4,3]+a[1,2]*a[1,3]^2*a[2,1]^2*a[4,2]-a[1,2]*a[1,3] ^2*a[2,1]*a[2,2]*a[4,1]+a[1,2]*a[1,3]^2*a[2,1]*a[4,1]*a[4,4]-a[1,2]*a[1,3]^2*a[ 2,4]*a[4,1]^2-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[4,1]*a[4,3]+a[1,2]*a[1,3]*a[1,4]*a[ 2,3]*a[4,1]^2-a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[4,3]*a[4,4]+a[1,2]*a[1,3]*a[2,1]*a[ 2,3]*a[3,2]*a[4,3]+a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,3]*a[4,2]+a[1,2]*a[1,3]*a[2, 1]*a[2,3]*a[4,2]*a[4,4]+a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[4,2]*a[4,3]+a[1,2]*a[1,3] *a[2,1]*a[3,4]*a[4,3]^2+a[1,2]*a[1,3]*a[2,1]*a[4,3]*a[4,4]^2-a[1,2]*a[1,3]*a[2, 2]*a[2,3]*a[3,3]*a[4,1]-a[1,2]*a[1,3]*a[2,3]^2*a[3,2]*a[4,1]-a[1,2]*a[1,3]*a[2, 3]*a[2,4]*a[4,1]*a[4,2]+a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[4,1]*a[4,4]-a[1,2]*a[1,3] *a[2,3]*a[3,4]*a[4,1]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,1]*a[4,3]-a[1,2]*a [1,3]*a[2,4]*a[4,1]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,1]*a[2,2]*a[4,3]^2-a[1,2]*a [1,4]*a[2,1]*a[3,3]*a[4,3]^2-a[1,2]*a[1,4]*a[2,1]*a[4,3]^2*a[4,4]-a[1,2]*a[1,4] *a[2,2]*a[2,3]*a[4,1]*a[4,3]+a[1,2]*a[1,4]*a[2,3]*a[3,3]*a[4,1]*a[4,3]+a[1,2]*a [1,4]*a[2,3]*a[4,1]*a[4,3]*a[4,4]-a[1,2]*a[2,2]*a[2,3]*a[3,3]*a[4,3]*a[4,4]+a[1 ,2]*a[2,2]*a[2,3]*a[3,4]*a[4,3]^2+a[1,2]*a[2,3]^2*a[3,3]*a[4,2]*a[4,4]-a[1,2]*a [2,3]^2*a[3,4]*a[4,2]*a[4,3]+a[1,2]*a[2,3]*a[3,3]*a[4,3]*a[4,4]^2-a[1,2]*a[2,3] *a[3,4]*a[4,3]^2*a[4,4]-a[1,2]*a[2,4]*a[3,3]*a[4,3]^2*a[4,4]+a[1,2]*a[2,4]*a[3, 4]*a[4,3]^3-a[1,3]^2*a[2,1]*a[2,3]*a[3,2]*a[4,2]-a[1,3]^2*a[2,1]*a[3,4]*a[4,2]* a[4,3]+a[1,3]^2*a[2,2]*a[2,3]*a[3,2]*a[4,1]-a[1,3]^2*a[2,3]*a[3,2]*a[4,1]*a[4,4 ]+a[1,3]^2*a[2,3]*a[3,4]*a[4,1]*a[4,2]+a[1,3]^2*a[2,4]*a[3,2]*a[4,1]*a[4,3]-a[1 ,3]*a[1,4]*a[2,1]*a[2,3]*a[4,2]^2+a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,2]*a[4,3]-a[1 ,3]*a[1,4]*a[2,1]*a[4,2]*a[4,3]*a[4,4]+a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[4,1]*a[4,2 ]-a[1,3]*a[1,4]*a[2,3]*a[3,3]*a[4,1]*a[4,2]+a[1,3]*a[1,4]*a[2,4]*a[4,1]*a[4,2]* a[4,3]+a[1,3]*a[2,2]*a[2,3]*a[3,2]*a[4,3]*a[4,4]-a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[ 4,2]*a[4,3]-a[1,3]*a[2,3]^2*a[3,2]*a[4,2]*a[4,4]+a[1,3]*a[2,3]^2*a[3,4]*a[4,2]^ 2-a[1,3]*a[2,3]*a[3,2]*a[4,3]*a[4,4]^2+a[1,3]*a[2,3]*a[3,4]*a[4,2]*a[4,3]*a[4,4 ]+a[1,3]*a[2,4]*a[3,2]*a[4,3]^2*a[4,4]-a[1,3]*a[2,4]*a[3,4]*a[4,2]*a[4,3]^2+a[1 ,4]^2*a[2,1]*a[4,2]*a[4,3]^2-a[1,4]^2*a[2,3]*a[4,1]*a[4,2]*a[4,3]-a[1,4]*a[2,2] *a[2,3]*a[3,2]*a[4,3]^2+a[1,4]*a[2,2]*a[2,3]*a[3,3]*a[4,2]*a[4,3]+a[1,4]*a[2,3] ^2*a[3,2]*a[4,2]*a[4,3]-a[1,4]*a[2,3]^2*a[3,3]*a[4,2]^2+a[1,4]*a[2,3]*a[3,2]*a[ 4,3]^2*a[4,4]-a[1,4]*a[2,3]*a[3,3]*a[4,2]*a[4,3]*a[4,4]-a[1,4]*a[2,4]*a[3,2]*a[ 4,3]^3+a[1,4]*a[2,4]*a[3,3]*a[4,2]*a[4,3]^2)*X[1,3]+(-a[1,1]*a[1,2]^2*a[2,2]*a[ 2,3]*a[4,3]+a[1,1]*a[1,2]^2*a[2,3]^2*a[4,2]+a[1,1]*a[1,2]^2*a[2,3]*a[4,3]*a[4,4 ]-a[1,1]*a[1,2]^2*a[2,4]*a[4,3]^2+a[1,1]*a[1,2]*a[1,3]*a[2,2]^2*a[4,3]-a[1,1]*a [1,2]*a[1,3]*a[2,2]*a[2,3]*a[4,2]-a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[3,3]*a[4,3]-a[1 ,1]*a[1,2]*a[1,3]*a[2,2]*a[4,3]*a[4,4]+a[1,1]*a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[4,2 ]+a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[4,2]*a[4,3]+a[1,1]*a[1,2]*a[1,3]*a[3,3]*a[4,3]* a[4,4]-a[1,1]*a[1,2]*a[1,3]*a[3,4]*a[4,3]^2+a[1,1]*a[1,3]^2*a[2,2]*a[3,2]*a[4,3 ]-a[1,1]*a[1,3]^2*a[2,3]*a[3,2]*a[4,2]-a[1,1]*a[1,3]^2*a[3,2]*a[4,3]*a[4,4]+a[1 ,1]*a[1,3]^2*a[3,4]*a[4,2]*a[4,3]+a[1,1]*a[1,3]*a[1,4]*a[2,2]*a[4,2]*a[4,3]-a[1 ,1]*a[1,3]*a[1,4]*a[2,3]*a[4,2]^2+a[1,1]*a[1,3]*a[1,4]*a[3,2]*a[4,3]^2-a[1,1]*a [1,3]*a[1,4]*a[3,3]*a[4,2]*a[4,3]+a[1,2]^3*a[2,1]*a[2,3]*a[4,3]-a[1,2]^3*a[2,3] ^2*a[4,1]-a[1,2]^2*a[1,3]*a[2,1]*a[2,2]*a[4,3]-a[1,2]^2*a[1,3]*a[2,1]*a[2,3]*a[ 4,2]+a[1,2]^2*a[1,3]*a[2,1]*a[3,3]*a[4,3]+2*a[1,2]^2*a[1,3]*a[2,2]*a[2,3]*a[4,1 ]-a[1,2]^2*a[1,3]*a[2,3]*a[3,3]*a[4,1]-a[1,2]^2*a[1,3]*a[2,3]*a[4,1]*a[4,4]+a[1 ,2]^2*a[1,3]*a[2,4]*a[4,1]*a[4,3]+a[1,2]^2*a[1,4]*a[2,1]*a[4,3]^2-a[1,2]^2*a[1, 4]*a[2,3]*a[4,1]*a[4,3]+a[1,2]^2*a[2,2]*a[2,3]*a[4,3]*a[4,4]-a[1,2]^2*a[2,2]*a[ 2,4]*a[4,3]^2-a[1,2]^2*a[2,3]^2*a[4,2]*a[4,4]+a[1,2]^2*a[2,3]*a[2,4]*a[4,2]*a[4 ,3]-a[1,2]^2*a[2,3]*a[3,4]*a[4,3]^2-a[1,2]^2*a[2,3]*a[4,3]*a[4,4]^2+a[1,2]^2*a[ 2,4]*a[3,3]*a[4,3]^2+a[1,2]^2*a[2,4]*a[4,3]^2*a[4,4]+a[1,2]*a[1,3]^2*a[2,1]*a[2 ,2]*a[4,2]-a[1,2]*a[1,3]^2*a[2,1]*a[3,2]*a[4,3]-a[1,2]*a[1,3]^2*a[2,1]*a[3,3]*a [4,2]-a[1,2]*a[1,3]^2*a[2,2]^2*a[4,1]+a[1,2]*a[1,3]^2*a[2,2]*a[3,3]*a[4,1]+a[1, 2]*a[1,3]^2*a[2,2]*a[4,1]*a[4,4]+a[1,2]*a[1,3]^2*a[2,3]*a[3,2]*a[4,1]-a[1,2]*a[ 1,3]^2*a[2,4]*a[4,1]*a[4,2]-a[1,2]*a[1,3]^2*a[3,3]*a[4,1]*a[4,4]+a[1,2]*a[1,3]^ 2*a[3,4]*a[4,1]*a[4,3]-2*a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[4,2]*a[4,3]+2*a[1,2]*a[1 ,3]*a[1,4]*a[2,3]*a[4,1]*a[4,2]-a[1,2]*a[1,3]*a[2,2]^2*a[4,3]*a[4,4]+a[1,2]*a[1 ,3]*a[2,2]*a[2,3]*a[4,2]*a[4,4]+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,2]*a[4,3]+a[1,2 ]*a[1,3]*a[2,2]*a[3,3]*a[4,3]*a[4,4]+a[1,2]*a[1,3]*a[2,2]*a[4,3]*a[4,4]^2-a[1,2 ]*a[1,3]*a[2,3]*a[2,4]*a[4,2]^2-a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[4,2]*a[4,4]+2*a[1 ,2]*a[1,3]*a[2,3]*a[3,4]*a[4,2]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[3,2]*a[4,3]^2-a[1 ,2]*a[1,3]*a[2,4]*a[3,3]*a[4,2]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[4,2]*a[4,3]*a[4,4 ]-a[1,2]*a[1,3]*a[3,3]*a[4,3]*a[4,4]^2+a[1,2]*a[1,3]*a[3,4]*a[4,3]^2*a[4,4]+a[1 ,2]*a[1,4]*a[2,2]^2*a[4,3]^2-2*a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[4,2]*a[4,3]-a[1,2] *a[1,4]*a[2,2]*a[3,3]*a[4,3]^2-a[1,2]*a[1,4]*a[2,2]*a[4,3]^2*a[4,4]+a[1,2]*a[1, 4]*a[2,3]^2*a[4,2]^2+a[1,2]*a[1,4]*a[2,3]*a[3,2]*a[4,3]^2+2*a[1,2]*a[1,4]*a[2,3 ]*a[4,2]*a[4,3]*a[4,4]-a[1,2]*a[1,4]*a[2,4]*a[4,2]*a[4,3]^2+a[1,2]*a[1,4]*a[3,3 ]*a[4,3]^2*a[4,4]-a[1,2]*a[1,4]*a[3,4]*a[4,3]^3+a[1,3]^3*a[2,1]*a[3,2]*a[4,2]-a [1,3]^3*a[2,2]*a[3,2]*a[4,1]+a[1,3]^3*a[3,2]*a[4,1]*a[4,4]-a[1,3]^3*a[3,4]*a[4, 1]*a[4,2]+a[1,3]^2*a[1,4]*a[2,1]*a[4,2]^2-a[1,3]^2*a[1,4]*a[2,2]*a[4,1]*a[4,2]- a[1,3]^2*a[1,4]*a[3,2]*a[4,1]*a[4,3]+a[1,3]^2*a[1,4]*a[3,3]*a[4,1]*a[4,2]-a[1,3 ]^2*a[2,2]*a[3,2]*a[4,3]*a[4,4]+a[1,3]^2*a[2,3]*a[3,2]*a[4,2]*a[4,4]-a[1,3]^2*a [2,3]*a[3,4]*a[4,2]^2+a[1,3]^2*a[2,4]*a[3,2]*a[4,2]*a[4,3]+a[1,3]^2*a[3,2]*a[4, 3]*a[4,4]^2-a[1,3]^2*a[3,4]*a[4,2]*a[4,3]*a[4,4]+a[1,3]*a[1,4]*a[2,2]*a[3,2]*a[ 4,3]^2-a[1,3]*a[1,4]*a[2,2]*a[4,2]*a[4,3]*a[4,4]-2*a[1,3]*a[1,4]*a[2,3]*a[3,2]* a[4,2]*a[4,3]+a[1,3]*a[1,4]*a[2,3]*a[3,3]*a[4,2]^2+a[1,3]*a[1,4]*a[2,4]*a[4,2]^ 2*a[4,3]-2*a[1,3]*a[1,4]*a[3,2]*a[4,3]^2*a[4,4]+a[1,3]*a[1,4]*a[3,3]*a[4,2]*a[4 ,3]*a[4,4]+a[1,3]*a[1,4]*a[3,4]*a[4,2]*a[4,3]^2+a[1,4]^2*a[2,2]*a[4,2]*a[4,3]^2 -a[1,4]^2*a[2,3]*a[4,2]^2*a[4,3]+a[1,4]^2*a[3,2]*a[4,3]^3-a[1,4]^2*a[3,3]*a[4,2 ]*a[4,3]^2)*X[2,3]+X[4,3]*(a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,3]-a[1,1]*a[1 ,2]*a[1,3]*a[2,3]*a[2,4]*a[4,2]+a[1,1]*a[1,2]*a[1,3]*a[2,3]*a[3,4]*a[4,3]-a[1,1 ]*a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[4,3]+ a[1,1]*a[1,2]*a[1,4]*a[2,3]^2*a[4,2]+a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[4,3]*a[4,4]- a[1,1]*a[1,2]*a[1,4]*a[2,4]*a[4,3]^2-a[1,1]*a[1,3]^2*a[2,3]*a[3,4]*a[4,2]+a[1,1 ]*a[1,3]^2*a[2,4]*a[3,2]*a[4,3]-a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,3]+a[1,1 ]*a[1,3]*a[1,4]*a[2,3]*a[3,3]*a[4,2]-a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[4,2]*a[4,4]+ a[1,1]*a[1,3]*a[1,4]*a[2,4]*a[4,2]*a[4,3]-a[1,2]^2*a[1,3]*a[2,1]*a[2,4]*a[4,3]+ a[1,2]^2*a[1,3]*a[2,3]*a[2,4]*a[4,1]+a[1,2]^2*a[1,4]*a[2,1]*a[2,3]*a[4,3]-a[1,2 ]^2*a[1,4]*a[2,3]^2*a[4,1]+a[1,2]^2*a[2,3]^2*a[3,4]*a[4,3]-a[1,2]^2*a[2,3]*a[2, 4]*a[3,3]*a[4,3]+a[1,2]^2*a[2,3]*a[2,4]*a[4,3]*a[4,4]-a[1,2]^2*a[2,4]^2*a[4,3]^ 2+a[1,2]*a[1,3]^2*a[2,1]*a[2,4]*a[4,2]-a[1,2]*a[1,3]^2*a[2,1]*a[3,4]*a[4,3]-a[1 ,2]*a[1,3]^2*a[2,2]*a[2,4]*a[4,1]+a[1,2]*a[1,3]^2*a[2,4]*a[3,3]*a[4,1]-a[1,2]*a [1,3]*a[1,4]*a[2,1]*a[2,3]*a[4,2]+a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,3]-a[1 ,2]*a[1,3]*a[1,4]*a[2,1]*a[4,3]*a[4,4]+a[1,2]*a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[4,1 ]-a[1,2]*a[1,3]*a[1,4]*a[2,3]*a[3,3]*a[4,1]+a[1,2]*a[1,3]*a[1,4]*a[2,4]*a[4,1]* a[4,3]-a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,3]-a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[ 4,3]*a[4,4]-a[1,2]*a[1,3]*a[2,3]^2*a[3,4]*a[4,2]+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[ 3,2]*a[4,3]+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,3]*a[4,2]+a[1,2]*a[1,3]*a[2,4]^2*a[ 4,2]*a[4,3]+a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[2,4]*a[3, 4]*a[4,3]^2+a[1,2]*a[1,4]^2*a[2,1]*a[4,3]^2-a[1,2]*a[1,4]^2*a[2,3]*a[4,1]*a[4,3 ]+a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,3]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,4]*a[4,3]^ 2-a[1,2]*a[1,4]*a[2,3]^2*a[3,2]*a[4,3]-a[1,2]*a[1,4]*a[2,3]^2*a[4,2]*a[4,4]-a[1 ,2]*a[1,4]*a[2,3]*a[3,3]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,3]^2+a[1 ,3]^3*a[2,1]*a[3,4]*a[4,2]-a[1,3]^3*a[2,4]*a[3,2]*a[4,1]-a[1,3]^2*a[1,4]*a[2,1] *a[3,3]*a[4,2]+a[1,3]^2*a[1,4]*a[2,1]*a[4,2]*a[4,4]+a[1,3]^2*a[1,4]*a[2,3]*a[3, 2]*a[4,1]-a[1,3]^2*a[1,4]*a[2,4]*a[4,1]*a[4,2]+a[1,3]^2*a[2,2]*a[2,3]*a[3,4]*a[ 4,2]-a[1,3]^2*a[2,3]*a[2,4]*a[3,2]*a[4,2]-a[1,3]^2*a[2,4]*a[3,2]*a[4,3]*a[4,4]+ a[1,3]^2*a[2,4]*a[3,4]*a[4,2]*a[4,3]-a[1,3]*a[1,4]^2*a[2,1]*a[4,2]*a[4,3]+a[1,3 ]*a[1,4]^2*a[2,3]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[3,3]*a[4,2]+a[1,3 ]*a[1,4]*a[2,2]*a[2,3]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,3]^2*a[3,2]*a[4,2]-a[1,3 ]*a[1,4]*a[2,3]*a[2,4]*a[4,2]^2+a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,3]*a[4,4]-a[1,3 ]*a[1,4]*a[2,3]*a[3,4]*a[4,2]*a[4,3]+a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,3]^2-a[1,3 ]*a[1,4]*a[2,4]*a[3,3]*a[4,2]*a[4,3]-a[1,4]^2*a[2,2]*a[2,3]*a[4,2]*a[4,3]+a[1,4 ]^2*a[2,3]^2*a[4,2]^2-a[1,4]^2*a[2,3]*a[3,2]*a[4,3]^2+a[1,4]^2*a[2,3]*a[3,3]*a[ 4,2]*a[4,3]) = 0 ------------------------------------ Theorem number, 17, : let, {X[1, 2], X[1, 3], X[2, 4], X[3, 4]}, be the entri\ es of an ARBITRARY power of the general matrix M, we always have the lin\ ear relation 2 2 2 (-a[1, 1] a[1, 3] a[2, 2] a[2, 4] a[3, 4] - a[1, 1] a[1, 3] a[2, 3] a[3, 4] 2 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 2] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 3] a[3, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 4] 2 - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 1] - a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[2, 4] a[3, 4] 2 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 4] 2 + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 2] + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[3, 4] 2 2 + a[1, 1] a[1, 3] a[2, 1] a[3, 4] 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 1] a[3, 4] + a[1, 1] a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 4] - 2 a[1, 1] a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[3, 2] - a[1, 1] a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[3, 4] + a[1, 1] a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[3, 1] + 2 a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 4] - a[1, 1] a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[3, 3] 2 + a[1, 1] a[1, 3] a[2, 2] a[2, 4] a[3, 4] 2 + a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[3, 4] 2 - a[1, 1] a[1, 3] a[2, 2] a[2, 4] a[3, 2] - a[1, 1] a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[3, 4] + a[1, 1] a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 4] 2 + a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 4] 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 4] - a[1, 1] a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 4] - a[1, 1] a[1, 4] a[2, 2] a[2, 4] a[3, 4] a[4, 3] 2 - a[1, 1] a[1, 4] a[2, 3] a[3, 4] a[4, 3] 2 + a[1, 1] a[1, 4] a[2, 4] a[3, 2] a[4, 3] + a[1, 1] a[1, 4] a[2, 4] a[3, 3] a[3, 4] a[4, 3] 2 + a[1, 2] a[2, 1] a[2, 3] a[2, 4] a[3, 4] 2 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 1] 2 - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 4] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[3, 1] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[3, 4] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 3] a[3, 4] - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 4] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 1] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 3] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 4] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[2, 4] a[3, 2] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[3, 4] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 4] a[4, 4] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[2, 4] a[3, 1] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[3, 4] - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 1] a[4, 4] + a[1, 2] a[2, 2] a[2, 3] a[2, 4] a[3, 4] a[4, 4] 2 - a[1, 2] a[2, 2] a[2, 4] a[3, 4] a[4, 3] 2 2 + a[1, 2] a[2, 3] a[3, 4] a[4, 4] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 4] - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 4] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 4] a[4, 3] 3 + a[1, 2] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[3, 4] 2 2 + a[1, 3] a[1, 4] a[2, 4] a[3, 1] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[3, 4] 2 2 2 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 4] + a[1, 3] a[2, 4] a[3, 1] a[3, 2] 2 + a[1, 3] a[2, 4] a[3, 1] a[3, 4] a[4, 4] 2 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 2] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 1] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[3, 3] 2 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 1] + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[2, 4] a[3, 2] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 4] a[4, 4] + a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[3, 4] + a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[3, 4] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[3, 4] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 4] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[3, 1] - a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[3, 4] + a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[3, 1] a[3, 3] - a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[3, 1] a[3, 2] - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 4] 2 - a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 4] 2 + a[1, 3] a[2, 2] a[2, 4] a[3, 2] a[4, 4] 2 + a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 2] + a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 4] 2 + a[1, 3] a[2, 3] a[2, 4] a[3, 4] a[4, 2] 3 - a[1, 3] a[2, 4] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 4] a[2, 1] a[2, 2] a[3, 4] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[3, 3] a[3, 4] a[4, 3] 2 + a[1, 4] a[2, 3] a[2, 4] a[3, 1] a[4, 2] 2 + a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 3] 2 + a[1, 4] a[2, 2] a[2, 4] a[3, 4] a[4, 3] - a[1, 4] a[2, 2] a[2, 3] a[2, 4] a[3, 4] a[4, 2] 2 + a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 3] 2 - a[1, 4] a[2, 2] a[2, 4] a[3, 2] a[4, 3] - a[1, 4] a[2, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 3] 2 2 - a[1, 4] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 2] + a[1, 4] a[2, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 2]) X[1, 2] + ( 2 a[1, 1] a[1, 2] a[2, 2] a[2, 4] a[3, 4] 2 2 2 2 + a[1, 1] a[1, 2] a[2, 3] a[3, 4] - a[1, 1] a[1, 2] a[2, 4] a[3, 2] 2 - a[1, 1] a[1, 2] a[2, 4] a[3, 3] a[3, 4] 2 - a[1, 1] a[1, 2] a[2, 1] a[2, 4] a[3, 4] 2 2 + a[1, 1] a[1, 2] a[2, 4] a[3, 1] 2 - a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[3, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 4] - a[1, 1] a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[3, 4] + 2 a[1, 1] a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[3, 2] + a[1, 1] a[1, 2] a[1, 4] a[2, 1] a[3, 3] a[3, 4] - a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[3, 1] - 2 a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[3, 4] + a[1, 1] a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[3, 3] - a[1, 1] a[1, 2] a[2, 2] a[2, 4] a[3, 3] a[3, 4] - a[1, 1] a[1, 2] a[2, 2] a[2, 4] a[3, 4] a[4, 4] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 3] a[3, 4] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 4] 2 + a[1, 1] a[1, 2] a[2, 4] a[3, 2] a[3, 3] 2 + a[1, 1] a[1, 2] a[2, 4] a[3, 2] a[4, 4] 2 + a[1, 1] a[1, 2] a[2, 4] a[3, 3] a[3, 4] + a[1, 1] a[1, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 4] + a[1, 1] a[1, 3] a[2, 2] a[2, 4] a[3, 2] a[3, 4] 2 + a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[3, 4] 2 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 2] - a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[3, 4] + a[1, 1] a[1, 4] a[2, 2] a[2, 4] a[3, 4] a[4, 2] 2 + a[1, 1] a[1, 4] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 1] a[1, 4] a[2, 4] a[3, 2] a[4, 2] - a[1, 1] a[1, 4] a[2, 4] a[3, 3] a[3, 4] a[4, 2] 2 2 + a[1, 2] a[1, 4] a[2, 1] a[3, 4] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[3, 1] 2 2 + a[1, 2] a[2, 1] a[2, 3] a[3, 4] 2 + a[1, 2] a[2, 1] a[2, 4] a[3, 4] a[4, 4] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[3, 4] 2 2 - a[1, 2] a[2, 4] a[3, 1] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[3, 4] 2 - a[1, 2] a[1, 3] a[1, 4] a[2, 4] a[3, 1] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 4] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[3, 4] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 1] a[3, 4] - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 3] a[3, 4] - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 4] a[4, 4] 2 2 - a[1, 2] a[1, 4] a[2, 1] a[3, 2] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[3, 1] 2 - a[1, 2] a[1, 4] a[2, 1] a[3, 1] a[3, 3] 2 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 1] + a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[3, 3] a[3, 4] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[3, 4] - a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[3, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 4] - a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[3, 4] a[4, 2] 2 - a[1, 2] a[1, 4] a[2, 1] a[3, 3] a[3, 4] 2 - a[1, 2] a[1, 4] a[2, 1] a[3, 4] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[3, 1] a[4, 4] + a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 1] a[3, 2] + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[3, 4] + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[3, 3] a[4, 4] + a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[3, 4] a[4, 3] + a[1, 2] a[2, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 4] 2 - a[1, 2] a[2, 2] a[2, 4] a[3, 4] a[4, 3] 2 + a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 4] 3 - a[1, 2] a[2, 3] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 4] a[3, 2] a[3, 3] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 3] 2 2 - a[1, 3] a[2, 1] a[3, 2] a[3, 4] 2 + a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[3, 4] 2 + a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[3, 2] + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[3, 4] - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 4] a[4, 4] - a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[3, 1] a[3, 2] - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[3, 4] + a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[3, 2] a[4, 4] - a[1, 3] a[2, 2] a[2, 4] a[3, 2] a[3, 4] a[4, 4] 2 + a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 4] 3 2 2 + a[1, 3] a[2, 3] a[3, 4] a[4, 2] + a[1, 3] a[2, 4] a[3, 2] a[4, 4] 2 - a[1, 3] a[2, 4] a[3, 2] a[3, 4] a[4, 2] + a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[3, 4] a[4, 4] 2 - a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 2] 2 + a[1, 4] a[2, 1] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 4] a[2, 2] a[2, 4] a[3, 1] a[4, 2] 2 - a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 2] 2 - a[1, 4] a[2, 4] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 4] a[3, 1] a[3, 3] a[4, 2] + a[1, 4] a[2, 2] a[2, 4] a[3, 2] a[3, 4] a[4, 3] - a[1, 4] a[2, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 4] a[2, 3] a[3, 3] a[3, 4] a[4, 2] 2 2 - a[1, 4] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 4] a[3, 2] a[3, 3] a[4, 2] - a[1, 4] a[2, 4] a[3, 2] a[3, 3] a[3, 4] a[4, 3] 2 + a[1, 4] a[2, 4] a[3, 3] a[3, 4] a[4, 2]) X[1, 3] + ( 2 a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 4] 2 - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 2] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 4] 2 + a[1, 1] a[1, 2] a[2, 4] a[3, 4] a[4, 3] 2 - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[3, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 2] + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[3, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 4] - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[3, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 2] - a[1, 1] a[1, 2] a[1, 3] a[3, 3] a[3, 4] a[4, 4] 2 + a[1, 1] a[1, 2] a[1, 3] a[3, 4] a[4, 3] + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 2] - a[1, 1] a[1, 2] a[1, 4] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 2] a[3, 2] a[3, 4] 2 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 2] 2 + a[1, 1] a[1, 3] a[3, 2] a[3, 4] a[4, 4] 2 2 - a[1, 1] a[1, 3] a[3, 4] a[4, 2] - a[1, 1] a[1, 3] a[1, 4] a[2, 2] a[3, 4] a[4, 2] + a[1, 1] a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 2] - a[1, 1] a[1, 3] a[1, 4] a[3, 2] a[3, 4] a[4, 3] + a[1, 1] a[1, 3] a[1, 4] a[3, 3] a[3, 4] a[4, 2] 3 3 - a[1, 2] a[2, 1] a[2, 3] a[3, 4] + a[1, 2] a[2, 3] a[2, 4] a[3, 1] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 4] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[3, 4] 2 - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 3] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] 2 - a[1, 2] a[1, 4] a[2, 1] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 4] 2 - a[1, 2] a[2, 2] a[2, 3] a[3, 4] a[4, 4] 2 + a[1, 2] a[2, 2] a[2, 4] a[3, 4] a[4, 3] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 4] 2 2 2 2 + a[1, 2] a[2, 3] a[3, 4] a[4, 3] + a[1, 2] a[2, 3] a[3, 4] a[4, 4] 2 2 - a[1, 2] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 4] a[3, 4] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[3, 4] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 2] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 2] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 4] a[4, 2] 2 + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[3, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[3, 1] a[3, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[3, 1] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[3, 1] a[3, 3] a[4, 4] - a[1, 2] a[1, 3] a[1, 4] a[3, 1] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 4] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 2] a[4, 4] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 2] - a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[3, 4] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 2] + a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 4] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 2] a[1, 3] a[3, 3] a[3, 4] a[4, 4] 2 - a[1, 2] a[1, 3] a[3, 4] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 2] 2 - a[1, 2] a[1, 4] a[2, 2] a[3, 4] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[3, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[3, 3] a[3, 4] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[3, 4] a[4, 3] a[4, 4] - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 2] - a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 3] - 2 a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 2] a[4, 4] + a[1, 2] a[1, 4] a[2, 4] a[3, 4] a[4, 2] a[4, 3] - a[1, 2] a[1, 4] a[3, 3] a[3, 4] a[4, 3] a[4, 4] 2 2 2 2 + a[1, 2] a[1, 4] a[3, 4] a[4, 3] - a[1, 3] a[1, 4] a[2, 1] a[3, 2] 2 + a[1, 3] a[1, 4] a[2, 2] a[3, 1] a[3, 2] 2 - a[1, 3] a[1, 4] a[3, 1] a[3, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[3, 1] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 2] a[3, 2] a[3, 4] a[4, 4] 2 2 2 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 4] - a[1, 3] a[3, 2] a[3, 4] a[4, 4] 2 2 + a[1, 3] a[3, 4] a[4, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 2] a[3, 1] a[4, 2] 2 + a[1, 3] a[1, 4] a[3, 1] a[3, 2] a[4, 3] 2 - a[1, 3] a[1, 4] a[3, 1] a[3, 3] a[4, 2] - a[1, 3] a[1, 4] a[2, 2] a[3, 2] a[3, 4] a[4, 3] + a[1, 3] a[1, 4] a[2, 2] a[3, 4] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[3, 3] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 4] a[3, 4] a[4, 2] + 2 a[1, 3] a[1, 4] a[3, 2] a[3, 4] a[4, 3] a[4, 4] - a[1, 3] a[1, 4] a[3, 3] a[3, 4] a[4, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 2] a[3, 4] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 4] a[2, 3] a[3, 4] a[4, 2] - a[1, 4] a[3, 2] a[3, 4] a[4, 3] 2 + a[1, 4] a[3, 3] a[3, 4] a[4, 2] a[4, 3]) X[2, 4] + X[3, 4] ( 2 2 a[1, 1] a[1, 2] a[2, 3] a[3, 4] 2 - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 3] 2 + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[4, 4] 2 2 - a[1, 1] a[1, 2] a[2, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] 2 + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[4, 2] 2 - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 4] - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 3] + a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[3, 4] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[3, 3] 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 4] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 4] a[4, 2] - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 2] + a[1, 1] a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[4, 3] 2 2 2 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] - a[1, 2] a[2, 3] a[3, 4] a[4, 4] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 4] 2 2 2 2 - a[1, 2] a[2, 3] a[2, 4] a[4, 4] + a[1, 2] a[2, 4] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 4] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[3, 4] 2 - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 3] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 4] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 2] 2 + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 3] + a[1, 2] a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 4] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 4] - a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 4] - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 4] + a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 2] 2 + a[1, 2] a[1, 4] a[2, 1] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 3] a[4, 2] + 2 a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 2] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 4] a[3, 4] a[4, 3] 3 3 + a[1, 3] a[2, 1] a[3, 2] a[3, 4] - a[1, 3] a[2, 4] a[3, 1] a[3, 2] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] 2 - a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 2] 2 - a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 4] 2 2 2 2 - a[1, 3] a[2, 3] a[3, 4] a[4, 2] + a[1, 3] a[2, 4] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 4] 2 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] + a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[3, 3] a[4, 2] - a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 2] - a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 3] + a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[3, 4] a[4, 2] 2 2 + a[1, 3] a[1, 4] a[2, 4] a[4, 2] + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[3, 3] a[4, 3] - 2 a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 2] a[2, 4] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 4] a[2, 3] a[2, 4] a[4, 2] + a[1, 4] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 3]) = 0 in Maple notation (-a[1,1]^2*a[1,3]*a[2,2]*a[2,4]*a[3,4]-a[1,1]^2*a[1,3]*a[2,3]*a[3,4]^2+a[1,1]^2 *a[1,3]*a[2,4]^2*a[3,2]+a[1,1]^2*a[1,3]*a[2,4]*a[3,3]*a[3,4]+a[1,1]*a[1,2]*a[1, 3]*a[2,1]*a[2,4]*a[3,4]-a[1,1]*a[1,2]*a[1,3]*a[2,4]^2*a[3,1]-a[1,1]*a[1,2]*a[2, 2]*a[2,3]*a[2,4]*a[3,4]-a[1,1]*a[1,2]*a[2,3]^2*a[3,4]^2+a[1,1]*a[1,2]*a[2,3]*a[ 2,4]^2*a[3,2]+a[1,1]*a[1,2]*a[2,3]*a[2,4]*a[3,3]*a[3,4]+a[1,1]*a[1,3]^2*a[2,1]* a[3,4]^2-a[1,1]*a[1,3]^2*a[2,4]*a[3,1]*a[3,4]+a[1,1]*a[1,3]*a[1,4]*a[2,1]*a[2,2 ]*a[3,4]-2*a[1,1]*a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[3,2]-a[1,1]*a[1,3]*a[1,4]*a[2,1 ]*a[3,3]*a[3,4]+a[1,1]*a[1,3]*a[1,4]*a[2,2]*a[2,4]*a[3,1]+2*a[1,1]*a[1,3]*a[1,4 ]*a[2,3]*a[3,1]*a[3,4]-a[1,1]*a[1,3]*a[1,4]*a[2,4]*a[3,1]*a[3,3]+a[1,1]*a[1,3]* a[2,2]^2*a[2,4]*a[3,4]+a[1,1]*a[1,3]*a[2,2]*a[2,3]*a[3,4]^2-a[1,1]*a[1,3]*a[2,2 ]*a[2,4]^2*a[3,2]-a[1,1]*a[1,3]*a[2,2]*a[2,4]*a[3,3]*a[3,4]+a[1,1]*a[1,3]*a[2,2 ]*a[2,4]*a[3,4]*a[4,4]+a[1,1]*a[1,3]*a[2,3]*a[3,4]^2*a[4,4]-a[1,1]*a[1,3]*a[2,4 ]^2*a[3,2]*a[4,4]-a[1,1]*a[1,3]*a[2,4]*a[3,3]*a[3,4]*a[4,4]-a[1,1]*a[1,4]*a[2,2 ]*a[2,4]*a[3,4]*a[4,3]-a[1,1]*a[1,4]*a[2,3]*a[3,4]^2*a[4,3]+a[1,1]*a[1,4]*a[2,4 ]^2*a[3,2]*a[4,3]+a[1,1]*a[1,4]*a[2,4]*a[3,3]*a[3,4]*a[4,3]+a[1,2]^2*a[2,1]*a[2 ,3]*a[2,4]*a[3,4]-a[1,2]^2*a[2,3]*a[2,4]^2*a[3,1]-a[1,2]*a[1,3]*a[1,4]*a[2,1]^2 *a[3,4]+a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[3,1]-a[1,2]*a[1,3]*a[2,1]*a[2,2]*a [2,4]*a[3,4]+a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,3]*a[3,4]-a[1,2]*a[1,3]*a[2,1]*a[2 ,4]*a[3,4]*a[4,4]+a[1,2]*a[1,3]*a[2,2]*a[2,4]^2*a[3,1]-a[1,2]*a[1,3]*a[2,4]^2*a [3,1]*a[3,3]+a[1,2]*a[1,3]*a[2,4]^2*a[3,1]*a[4,4]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a [2,4]*a[3,2]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,3]*a[3,4]+a[1,2]*a[1,4]*a[2,1]*a[2 ,3]*a[3,4]*a[4,4]+a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[2,4]*a[3,1]+a[1,2]*a[1,4]*a[2,3 ]^2*a[3,1]*a[3,4]-a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[3,1]*a[4,4]+a[1,2]*a[2,2]*a[2,3 ]*a[2,4]*a[3,4]*a[4,4]-a[1,2]*a[2,2]*a[2,4]^2*a[3,4]*a[4,3]+a[1,2]*a[2,3]^2*a[3 ,4]^2*a[4,4]-a[1,2]*a[2,3]*a[2,4]^2*a[3,2]*a[4,4]-a[1,2]*a[2,3]*a[2,4]*a[3,3]*a [3,4]*a[4,4]-a[1,2]*a[2,3]*a[2,4]*a[3,4]^2*a[4,3]+a[1,2]*a[2,4]^3*a[3,2]*a[4,3] +a[1,2]*a[2,4]^2*a[3,3]*a[3,4]*a[4,3]-a[1,3]^2*a[1,4]*a[2,1]*a[3,1]*a[3,4]+a[1, 3]^2*a[1,4]*a[2,4]*a[3,1]^2-a[1,3]^2*a[2,1]*a[2,4]*a[3,2]*a[3,4]-a[1,3]^2*a[2,1 ]*a[3,4]^2*a[4,4]+a[1,3]^2*a[2,4]^2*a[3,1]*a[3,2]+a[1,3]^2*a[2,4]*a[3,1]*a[3,4] *a[4,4]+a[1,3]*a[1,4]^2*a[2,1]^2*a[3,2]-a[1,3]*a[1,4]^2*a[2,1]*a[2,2]*a[3,1]+a[ 1,3]*a[1,4]^2*a[2,1]*a[3,1]*a[3,3]-a[1,3]*a[1,4]^2*a[2,3]*a[3,1]^2+a[1,3]*a[1,4 ]*a[2,1]*a[2,2]*a[2,4]*a[3,2]-a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[3,4]*a[4,4]+a[1,3]* a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[3,4]+a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[3,2]*a[4,4]+a[ 1,3]*a[1,4]*a[2,1]*a[2,4]*a[3,4]*a[4,2]+a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[3,4]*a[4, 4]+a[1,3]*a[1,4]*a[2,1]*a[3,4]^2*a[4,3]-a[1,3]*a[1,4]*a[2,2]^2*a[2,4]*a[3,1]-a[ 1,3]*a[1,4]*a[2,2]*a[2,3]*a[3,1]*a[3,4]+a[1,3]*a[1,4]*a[2,2]*a[2,4]*a[3,1]*a[3, 3]-a[1,3]*a[1,4]*a[2,3]*a[2,4]*a[3,1]*a[3,2]-a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,4] *a[4,4]-a[1,3]*a[1,4]*a[2,4]^2*a[3,1]*a[4,2]-a[1,3]*a[1,4]*a[2,4]*a[3,1]*a[3,4] *a[4,3]-a[1,3]*a[2,2]^2*a[2,4]*a[3,4]*a[4,4]-a[1,3]*a[2,2]*a[2,3]*a[3,4]^2*a[4, 4]+a[1,3]*a[2,2]*a[2,4]^2*a[3,2]*a[4,4]+a[1,3]*a[2,2]*a[2,4]^2*a[3,4]*a[4,2]+a[ 1,3]*a[2,2]*a[2,4]*a[3,3]*a[3,4]*a[4,4]+a[1,3]*a[2,3]*a[2,4]*a[3,4]^2*a[4,2]-a[ 1,3]*a[2,4]^3*a[3,2]*a[4,2]-a[1,3]*a[2,4]^2*a[3,3]*a[3,4]*a[4,2]+a[1,4]^2*a[2,1 ]*a[2,2]*a[3,4]*a[4,3]-a[1,4]^2*a[2,1]*a[2,3]*a[3,4]*a[4,2]-a[1,4]^2*a[2,1]*a[2 ,4]*a[3,2]*a[4,3]-a[1,4]^2*a[2,1]*a[3,3]*a[3,4]*a[4,3]+a[1,4]^2*a[2,3]*a[2,4]*a [3,1]*a[4,2]+a[1,4]^2*a[2,3]*a[3,1]*a[3,4]*a[4,3]+a[1,4]*a[2,2]^2*a[2,4]*a[3,4] *a[4,3]-a[1,4]*a[2,2]*a[2,3]*a[2,4]*a[3,4]*a[4,2]+a[1,4]*a[2,2]*a[2,3]*a[3,4]^2 *a[4,3]-a[1,4]*a[2,2]*a[2,4]^2*a[3,2]*a[4,3]-a[1,4]*a[2,2]*a[2,4]*a[3,3]*a[3,4] *a[4,3]-a[1,4]*a[2,3]^2*a[3,4]^2*a[4,2]+a[1,4]*a[2,3]*a[2,4]^2*a[3,2]*a[4,2]+a[ 1,4]*a[2,3]*a[2,4]*a[3,3]*a[3,4]*a[4,2])*X[1,2]+(a[1,1]^2*a[1,2]*a[2,2]*a[2,4]* a[3,4]+a[1,1]^2*a[1,2]*a[2,3]*a[3,4]^2-a[1,1]^2*a[1,2]*a[2,4]^2*a[3,2]-a[1,1]^2 *a[1,2]*a[2,4]*a[3,3]*a[3,4]-a[1,1]*a[1,2]^2*a[2,1]*a[2,4]*a[3,4]+a[1,1]*a[1,2] ^2*a[2,4]^2*a[3,1]-a[1,1]*a[1,2]*a[1,3]*a[2,1]*a[3,4]^2+a[1,1]*a[1,2]*a[1,3]*a[ 2,4]*a[3,1]*a[3,4]-a[1,1]*a[1,2]*a[1,4]*a[2,1]*a[2,2]*a[3,4]+2*a[1,1]*a[1,2]*a[ 1,4]*a[2,1]*a[2,4]*a[3,2]+a[1,1]*a[1,2]*a[1,4]*a[2,1]*a[3,3]*a[3,4]-a[1,1]*a[1, 2]*a[1,4]*a[2,2]*a[2,4]*a[3,1]-2*a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[3,4]+a[1, 1]*a[1,2]*a[1,4]*a[2,4]*a[3,1]*a[3,3]-a[1,1]*a[1,2]*a[2,2]*a[2,4]*a[3,3]*a[3,4] -a[1,1]*a[1,2]*a[2,2]*a[2,4]*a[3,4]*a[4,4]-a[1,1]*a[1,2]*a[2,3]*a[3,3]*a[3,4]^2 -a[1,1]*a[1,2]*a[2,3]*a[3,4]^2*a[4,4]+a[1,1]*a[1,2]*a[2,4]^2*a[3,2]*a[3,3]+a[1, 1]*a[1,2]*a[2,4]^2*a[3,2]*a[4,4]+a[1,1]*a[1,2]*a[2,4]*a[3,3]^2*a[3,4]+a[1,1]*a[ 1,2]*a[2,4]*a[3,3]*a[3,4]*a[4,4]+a[1,1]*a[1,3]*a[2,2]*a[2,4]*a[3,2]*a[3,4]+a[1, 1]*a[1,3]*a[2,3]*a[3,2]*a[3,4]^2-a[1,1]*a[1,3]*a[2,4]^2*a[3,2]^2-a[1,1]*a[1,3]* a[2,4]*a[3,2]*a[3,3]*a[3,4]+a[1,1]*a[1,4]*a[2,2]*a[2,4]*a[3,4]*a[4,2]+a[1,1]*a[ 1,4]*a[2,3]*a[3,4]^2*a[4,2]-a[1,1]*a[1,4]*a[2,4]^2*a[3,2]*a[4,2]-a[1,1]*a[1,4]* a[2,4]*a[3,3]*a[3,4]*a[4,2]+a[1,2]^2*a[1,4]*a[2,1]^2*a[3,4]-a[1,2]^2*a[1,4]*a[2 ,1]*a[2,4]*a[3,1]+a[1,2]^2*a[2,1]*a[2,3]*a[3,4]^2+a[1,2]^2*a[2,1]*a[2,4]*a[3,4] *a[4,4]-a[1,2]^2*a[2,3]*a[2,4]*a[3,1]*a[3,4]-a[1,2]^2*a[2,4]^2*a[3,1]*a[4,4]+a[ 1,2]*a[1,3]*a[1,4]*a[2,1]*a[3,1]*a[3,4]-a[1,2]*a[1,3]*a[1,4]*a[2,4]*a[3,1]^2-a[ 1,2]*a[1,3]*a[2,1]*a[2,2]*a[3,4]^2+a[1,2]*a[1,3]*a[2,1]*a[3,3]*a[3,4]^2+a[1,2]* a[1,3]*a[2,1]*a[3,4]^2*a[4,4]+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,1]*a[3,4]-a[1,2]* a[1,3]*a[2,4]*a[3,1]*a[3,3]*a[3,4]-a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[3,4]*a[4,4]-a[ 1,2]*a[1,4]^2*a[2,1]^2*a[3,2]+a[1,2]*a[1,4]^2*a[2,1]*a[2,2]*a[3,1]-a[1,2]*a[1,4 ]^2*a[2,1]*a[3,1]*a[3,3]+a[1,2]*a[1,4]^2*a[2,3]*a[3,1]^2+a[1,2]*a[1,4]*a[2,1]*a [2,2]*a[3,3]*a[3,4]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[3,4]-a[1,2]*a[1,4]*a[2 ,1]*a[2,4]*a[3,2]*a[3,3]-a[1,2]*a[1,4]*a[2,1]*a[2,4]*a[3,2]*a[4,4]-a[1,2]*a[1,4 ]*a[2,1]*a[2,4]*a[3,4]*a[4,2]-a[1,2]*a[1,4]*a[2,1]*a[3,3]^2*a[3,4]-a[1,2]*a[1,4 ]*a[2,1]*a[3,4]^2*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,4]*a[3,1]*a[4,4]+a[1,2]*a[1,4 ]*a[2,3]*a[2,4]*a[3,1]*a[3,2]+a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[3,3]*a[3,4]+a[1,2]* a[1,4]*a[2,3]*a[3,1]*a[3,4]*a[4,4]+a[1,2]*a[1,4]*a[2,4]^2*a[3,1]*a[4,2]-a[1,2]* a[1,4]*a[2,4]*a[3,1]*a[3,3]*a[4,4]+a[1,2]*a[1,4]*a[2,4]*a[3,1]*a[3,4]*a[4,3]+a[ 1,2]*a[2,2]*a[2,4]*a[3,3]*a[3,4]*a[4,4]-a[1,2]*a[2,2]*a[2,4]*a[3,4]^2*a[4,3]+a[ 1,2]*a[2,3]*a[3,3]*a[3,4]^2*a[4,4]-a[1,2]*a[2,3]*a[3,4]^3*a[4,3]-a[1,2]*a[2,4]^ 2*a[3,2]*a[3,3]*a[4,4]+a[1,2]*a[2,4]^2*a[3,2]*a[3,4]*a[4,3]-a[1,2]*a[2,4]*a[3,3 ]^2*a[3,4]*a[4,4]+a[1,2]*a[2,4]*a[3,3]*a[3,4]^2*a[4,3]-a[1,3]^2*a[2,1]*a[3,2]*a [3,4]^2+a[1,3]^2*a[2,4]*a[3,1]*a[3,2]*a[3,4]+a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[3,2] ^2+a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[3,3]*a[3,4]-a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[3,4] *a[4,4]-a[1,3]*a[1,4]*a[2,2]*a[2,4]*a[3,1]*a[3,2]-a[1,3]*a[1,4]*a[2,3]*a[3,1]*a [3,2]*a[3,4]+a[1,3]*a[1,4]*a[2,4]*a[3,1]*a[3,2]*a[4,4]-a[1,3]*a[2,2]*a[2,4]*a[3 ,2]*a[3,4]*a[4,4]+a[1,3]*a[2,2]*a[2,4]*a[3,4]^2*a[4,2]-a[1,3]*a[2,3]*a[3,2]*a[3 ,4]^2*a[4,4]+a[1,3]*a[2,3]*a[3,4]^3*a[4,2]+a[1,3]*a[2,4]^2*a[3,2]^2*a[4,4]-a[1, 3]*a[2,4]^2*a[3,2]*a[3,4]*a[4,2]+a[1,3]*a[2,4]*a[3,2]*a[3,3]*a[3,4]*a[4,4]-a[1, 3]*a[2,4]*a[3,3]*a[3,4]^2*a[4,2]+a[1,4]^2*a[2,1]*a[2,4]*a[3,2]*a[4,2]+a[1,4]^2* a[2,1]*a[3,2]*a[3,4]*a[4,3]-a[1,4]^2*a[2,2]*a[2,4]*a[3,1]*a[4,2]-a[1,4]^2*a[2,3 ]*a[3,1]*a[3,4]*a[4,2]-a[1,4]^2*a[2,4]*a[3,1]*a[3,2]*a[4,3]+a[1,4]^2*a[2,4]*a[3 ,1]*a[3,3]*a[4,2]+a[1,4]*a[2,2]*a[2,4]*a[3,2]*a[3,4]*a[4,3]-a[1,4]*a[2,2]*a[2,4 ]*a[3,3]*a[3,4]*a[4,2]+a[1,4]*a[2,3]*a[3,2]*a[3,4]^2*a[4,3]-a[1,4]*a[2,3]*a[3,3 ]*a[3,4]^2*a[4,2]-a[1,4]*a[2,4]^2*a[3,2]^2*a[4,3]+a[1,4]*a[2,4]^2*a[3,2]*a[3,3] *a[4,2]-a[1,4]*a[2,4]*a[3,2]*a[3,3]*a[3,4]*a[4,3]+a[1,4]*a[2,4]*a[3,3]^2*a[3,4] *a[4,2])*X[1,3]+(a[1,1]*a[1,2]^2*a[2,2]*a[2,3]*a[3,4]-a[1,1]*a[1,2]^2*a[2,3]*a[ 2,4]*a[3,2]-a[1,1]*a[1,2]^2*a[2,3]*a[3,4]*a[4,4]+a[1,1]*a[1,2]^2*a[2,4]*a[3,4]* a[4,3]-a[1,1]*a[1,2]*a[1,3]*a[2,2]^2*a[3,4]+a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,4]* a[3,2]+a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[3,3]*a[3,4]+a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[ 3,4]*a[4,4]-a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,2]*a[3,3]-a[1,1]*a[1,2]*a[1,3]*a[2, 4]*a[3,4]*a[4,2]-a[1,1]*a[1,2]*a[1,3]*a[3,3]*a[3,4]*a[4,4]+a[1,1]*a[1,2]*a[1,3] *a[3,4]^2*a[4,3]+a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,2]-a[1,1]*a[1,2]*a[1,4] *a[2,4]*a[3,2]*a[4,3]-a[1,1]*a[1,3]^2*a[2,2]*a[3,2]*a[3,4]+a[1,1]*a[1,3]^2*a[2, 4]*a[3,2]^2+a[1,1]*a[1,3]^2*a[3,2]*a[3,4]*a[4,4]-a[1,1]*a[1,3]^2*a[3,4]^2*a[4,2 ]-a[1,1]*a[1,3]*a[1,4]*a[2,2]*a[3,4]*a[4,2]+a[1,1]*a[1,3]*a[1,4]*a[2,4]*a[3,2]* a[4,2]-a[1,1]*a[1,3]*a[1,4]*a[3,2]*a[3,4]*a[4,3]+a[1,1]*a[1,3]*a[1,4]*a[3,3]*a[ 3,4]*a[4,2]-a[1,2]^3*a[2,1]*a[2,3]*a[3,4]+a[1,2]^3*a[2,3]*a[2,4]*a[3,1]+a[1,2]^ 2*a[1,3]*a[2,1]*a[2,2]*a[3,4]-a[1,2]^2*a[1,3]*a[2,1]*a[3,3]*a[3,4]-a[1,2]^2*a[1 ,3]*a[2,2]*a[2,4]*a[3,1]+a[1,2]^2*a[1,3]*a[2,4]*a[3,1]*a[3,3]+a[1,2]^2*a[1,4]*a [2,1]*a[2,3]*a[3,2]-a[1,2]^2*a[1,4]*a[2,1]*a[3,4]*a[4,3]-a[1,2]^2*a[1,4]*a[2,2] *a[2,3]*a[3,1]+a[1,2]^2*a[1,4]*a[2,3]*a[3,1]*a[4,4]-a[1,2]^2*a[2,2]*a[2,3]*a[3, 4]*a[4,4]+a[1,2]^2*a[2,2]*a[2,4]*a[3,4]*a[4,3]+a[1,2]^2*a[2,3]*a[2,4]*a[3,2]*a[ 4,4]+a[1,2]^2*a[2,3]*a[3,4]^2*a[4,3]+a[1,2]^2*a[2,3]*a[3,4]*a[4,4]^2-a[1,2]^2*a [2,4]^2*a[3,2]*a[4,3]-a[1,2]^2*a[2,4]*a[3,3]*a[3,4]*a[4,3]-a[1,2]^2*a[2,4]*a[3, 4]*a[4,3]*a[4,4]+a[1,2]*a[1,3]^2*a[2,1]*a[3,2]*a[3,4]-a[1,2]*a[1,3]^2*a[2,4]*a[ 3,1]*a[3,2]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[3,2]+a[1,2]*a[1,3]*a[1,4]*a[2, 1]*a[3,2]*a[3,3]+a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[3,4]*a[4,2]+a[1,2]*a[1,3]*a[1,4] *a[2,2]^2*a[3,1]-a[1,2]*a[1,3]*a[1,4]*a[2,2]*a[3,1]*a[3,3]-a[1,2]*a[1,3]*a[1,4] *a[2,2]*a[3,1]*a[4,4]+a[1,2]*a[1,3]*a[1,4]*a[3,1]*a[3,3]*a[4,4]-a[1,2]*a[1,3]*a [1,4]*a[3,1]*a[3,4]*a[4,3]+a[1,2]*a[1,3]*a[2,2]^2*a[3,4]*a[4,4]-a[1,2]*a[1,3]*a [2,2]*a[2,4]*a[3,2]*a[4,4]-a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,4]*a[4,2]-a[1,2]*a[1 ,3]*a[2,2]*a[3,3]*a[3,4]*a[4,4]-a[1,2]*a[1,3]*a[2,2]*a[3,4]*a[4,4]^2-a[1,2]*a[1 ,3]*a[2,3]*a[3,4]^2*a[4,2]+a[1,2]*a[1,3]*a[2,4]^2*a[3,2]*a[4,2]+a[1,2]*a[1,3]*a [2,4]*a[3,2]*a[3,3]*a[4,4]+a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[3,4]*a[4,2]+a[1,2]*a[1 ,3]*a[2,4]*a[3,4]*a[4,2]*a[4,4]+a[1,2]*a[1,3]*a[3,3]*a[3,4]*a[4,4]^2-a[1,2]*a[1 ,3]*a[3,4]^2*a[4,3]*a[4,4]+a[1,2]*a[1,4]^2*a[2,1]*a[3,2]*a[4,3]-a[1,2]*a[1,4]^2 *a[2,3]*a[3,1]*a[4,2]-a[1,2]*a[1,4]*a[2,2]^2*a[3,4]*a[4,3]+a[1,2]*a[1,4]*a[2,2] *a[2,3]*a[3,4]*a[4,2]+a[1,2]*a[1,4]*a[2,2]*a[2,4]*a[3,2]*a[4,3]+a[1,2]*a[1,4]*a [2,2]*a[3,3]*a[3,4]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[3,4]*a[4,3]*a[4,4]-a[1,2]*a[1 ,4]*a[2,3]*a[2,4]*a[3,2]*a[4,2]-a[1,2]*a[1,4]*a[2,3]*a[3,2]*a[3,4]*a[4,3]-2*a[1 ,2]*a[1,4]*a[2,3]*a[3,4]*a[4,2]*a[4,4]+a[1,2]*a[1,4]*a[2,4]*a[3,4]*a[4,2]*a[4,3 ]-a[1,2]*a[1,4]*a[3,3]*a[3,4]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[3,4]^2*a[4,3]^2-a[1 ,3]^2*a[1,4]*a[2,1]*a[3,2]^2+a[1,3]^2*a[1,4]*a[2,2]*a[3,1]*a[3,2]-a[1,3]^2*a[1, 4]*a[3,1]*a[3,2]*a[4,4]+a[1,3]^2*a[1,4]*a[3,1]*a[3,4]*a[4,2]+a[1,3]^2*a[2,2]*a[ 3,2]*a[3,4]*a[4,4]-a[1,3]^2*a[2,4]*a[3,2]^2*a[4,4]-a[1,3]^2*a[3,2]*a[3,4]*a[4,4 ]^2+a[1,3]^2*a[3,4]^2*a[4,2]*a[4,4]-a[1,3]*a[1,4]^2*a[2,1]*a[3,2]*a[4,2]+a[1,3] *a[1,4]^2*a[2,2]*a[3,1]*a[4,2]+a[1,3]*a[1,4]^2*a[3,1]*a[3,2]*a[4,3]-a[1,3]*a[1, 4]^2*a[3,1]*a[3,3]*a[4,2]-a[1,3]*a[1,4]*a[2,2]*a[3,2]*a[3,4]*a[4,3]+a[1,3]*a[1, 4]*a[2,2]*a[3,4]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[3,4]*a[4,2]+a[1,3] *a[1,4]*a[2,4]*a[3,2]^2*a[4,3]-a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[3,3]*a[4,2]-a[1,3] *a[1,4]*a[2,4]*a[3,4]*a[4,2]^2+2*a[1,3]*a[1,4]*a[3,2]*a[3,4]*a[4,3]*a[4,4]-a[1, 3]*a[1,4]*a[3,3]*a[3,4]*a[4,2]*a[4,4]-a[1,3]*a[1,4]*a[3,4]^2*a[4,2]*a[4,3]-a[1, 4]^2*a[2,2]*a[3,4]*a[4,2]*a[4,3]+a[1,4]^2*a[2,3]*a[3,4]*a[4,2]^2-a[1,4]^2*a[3,2 ]*a[3,4]*a[4,3]^2+a[1,4]^2*a[3,3]*a[3,4]*a[4,2]*a[4,3])*X[2,4]+X[3,4]*(a[1,1]*a [1,2]^2*a[2,3]^2*a[3,4]-a[1,1]*a[1,2]^2*a[2,3]*a[2,4]*a[3,3]+a[1,1]*a[1,2]^2*a[ 2,3]*a[2,4]*a[4,4]-a[1,1]*a[1,2]^2*a[2,4]^2*a[4,3]-a[1,1]*a[1,2]*a[1,3]*a[2,2]* a[2,3]*a[3,4]+a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,3]-a[1,1]*a[1,2]*a[1,3]*a[ 2,2]*a[2,4]*a[4,4]+a[1,1]*a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[3,4]+a[1,1]*a[1,2]*a[1, 3]*a[2,4]^2*a[4,2]-a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,3]^2+a[1,1]*a[1,2]*a[1,3]*a[ 2,4]*a[3,3]*a[4,4]-a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,4]*a[4,3]+a[1,1]*a[1,2]*a[1, 4]*a[2,2]*a[2,4]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[4,2]+a[1,1]*a[1,2] *a[1,4]*a[2,3]*a[3,4]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,4]*a[3,3]*a[4,3]-a[1,1]*a [1,3]^2*a[2,3]*a[3,2]*a[3,4]+a[1,1]*a[1,3]^2*a[2,4]*a[3,2]*a[3,3]-a[1,1]*a[1,3] ^2*a[2,4]*a[3,2]*a[4,4]+a[1,1]*a[1,3]^2*a[2,4]*a[3,4]*a[4,2]-a[1,1]*a[1,3]*a[1, 4]*a[2,3]*a[3,4]*a[4,2]+a[1,1]*a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,3]-a[1,2]^2*a[1, 3]*a[2,1]*a[2,3]*a[3,4]+a[1,2]^2*a[1,3]*a[2,3]*a[2,4]*a[3,1]+a[1,2]^2*a[1,4]*a[ 2,1]*a[2,3]*a[3,3]-a[1,2]^2*a[1,4]*a[2,1]*a[2,3]*a[4,4]+a[1,2]^2*a[1,4]*a[2,1]* a[2,4]*a[4,3]-a[1,2]^2*a[1,4]*a[2,3]^2*a[3,1]-a[1,2]^2*a[2,3]^2*a[3,4]*a[4,4]+a [1,2]^2*a[2,3]*a[2,4]*a[3,3]*a[4,4]-a[1,2]^2*a[2,3]*a[2,4]*a[4,4]^2+a[1,2]^2*a[ 2,4]^2*a[4,3]*a[4,4]+a[1,2]*a[1,3]^2*a[2,1]*a[2,2]*a[3,4]-a[1,2]*a[1,3]^2*a[2,1 ]*a[3,3]*a[3,4]-a[1,2]*a[1,3]^2*a[2,2]*a[2,4]*a[3,1]+a[1,2]*a[1,3]^2*a[2,4]*a[3 ,1]*a[3,3]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[3,3]+a[1,2]*a[1,3]*a[1,4]*a[2,1 ]*a[2,2]*a[4,4]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[4,2]+a[1,2]*a[1,3]*a[1,4]* a[2,1]*a[3,3]^2-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,4]+a[1,2]*a[1,3]*a[1,4]* a[2,2]*a[2,3]*a[3,1]-a[1,2]*a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,3]+a[1,2]*a[1,3]*a[ 1,4]*a[2,4]*a[3,1]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,4]-a[1,2]*a[1, 3]*a[2,2]*a[2,4]*a[3,3]*a[4,4]+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,4]*a[4,3]+a[1,2] *a[1,3]*a[2,2]*a[2,4]*a[4,4]^2-a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[3,4]*a[4,4]+a[1,2] *a[1,3]*a[2,3]*a[3,4]^2*a[4,3]-a[1,2]*a[1,3]*a[2,4]^2*a[3,2]*a[4,3]-a[1,2]*a[1, 3]*a[2,4]^2*a[4,2]*a[4,4]+a[1,2]*a[1,3]*a[2,4]*a[3,3]^2*a[4,4]-a[1,2]*a[1,3]*a[ 2,4]*a[3,3]*a[3,4]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,4]^2+a[1,2]*a[1,3]*a[ 2,4]*a[3,4]*a[4,3]*a[4,4]-a[1,2]*a[1,4]^2*a[2,1]*a[2,2]*a[4,3]+a[1,2]*a[1,4]^2* a[2,1]*a[2,3]*a[4,2]+a[1,2]*a[1,4]^2*a[2,1]*a[3,3]*a[4,3]-a[1,2]*a[1,4]^2*a[2,3 ]*a[3,1]*a[4,3]-a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,4]*a[4,3]-a[1,2]*a[1,4]*a[2,2]* a[2,4]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,3]^2*a[3,4]*a[4,2]+a[1,2]*a[1,4]*a[2,3]* a[2,4]*a[3,2]*a[4,3]-a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[3,3]*a[4,2]+2*a[1,2]*a[1,4]* a[2,3]*a[2,4]*a[4,2]*a[4,4]-a[1,2]*a[1,4]*a[2,4]^2*a[4,2]*a[4,3]+a[1,2]*a[1,4]* a[2,4]*a[3,3]*a[4,3]*a[4,4]-a[1,2]*a[1,4]*a[2,4]*a[3,4]*a[4,3]^2+a[1,3]^3*a[2,1 ]*a[3,2]*a[3,4]-a[1,3]^3*a[2,4]*a[3,1]*a[3,2]-a[1,3]^2*a[1,4]*a[2,1]*a[3,2]*a[3 ,3]+a[1,3]^2*a[1,4]*a[2,1]*a[3,2]*a[4,4]+a[1,3]^2*a[1,4]*a[2,3]*a[3,1]*a[3,2]-a [1,3]^2*a[1,4]*a[2,4]*a[3,1]*a[4,2]-a[1,3]^2*a[2,2]*a[2,4]*a[3,4]*a[4,2]+a[1,3] ^2*a[2,3]*a[3,2]*a[3,4]*a[4,4]-a[1,3]^2*a[2,3]*a[3,4]^2*a[4,2]+a[1,3]^2*a[2,4]^ 2*a[3,2]*a[4,2]-a[1,3]^2*a[2,4]*a[3,2]*a[3,3]*a[4,4]+a[1,3]^2*a[2,4]*a[3,2]*a[4 ,4]^2+a[1,3]^2*a[2,4]*a[3,3]*a[3,4]*a[4,2]-a[1,3]^2*a[2,4]*a[3,4]*a[4,2]*a[4,4] -a[1,3]*a[1,4]^2*a[2,1]*a[3,2]*a[4,3]+a[1,3]*a[1,4]^2*a[2,3]*a[3,1]*a[4,2]+a[1, 3]*a[1,4]*a[2,2]*a[2,4]*a[3,3]*a[4,2]-a[1,3]*a[1,4]*a[2,2]*a[2,4]*a[4,2]*a[4,4] -a[1,3]*a[1,4]*a[2,3]*a[2,4]*a[3,2]*a[4,2]-a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[3,4]*a [4,3]+a[1,3]*a[1,4]*a[2,3]*a[3,3]*a[3,4]*a[4,2]+a[1,3]*a[1,4]*a[2,4]^2*a[4,2]^2 +a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[3,3]*a[4,3]-2*a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,3] *a[4,4]-a[1,3]*a[1,4]*a[2,4]*a[3,3]^2*a[4,2]+a[1,3]*a[1,4]*a[2,4]*a[3,3]*a[4,2] *a[4,4]+a[1,3]*a[1,4]*a[2,4]*a[3,4]*a[4,2]*a[4,3]+a[1,4]^2*a[2,2]*a[2,4]*a[4,2] *a[4,3]-a[1,4]^2*a[2,3]*a[2,4]*a[4,2]^2+a[1,4]^2*a[2,4]*a[3,2]*a[4,3]^2-a[1,4]^ 2*a[2,4]*a[3,3]*a[4,2]*a[4,3]) = 0 ------------------------------------ Theorem number, 18, : let, {X[1, 2], X[1, 3], X[2, 4], X[4, 1]}, be the entri\ es of an ARBITRARY power of the general matrix M, we always have the lin\ ear relation 2 (-a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 1] + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 4] 2 + a[1, 1] a[1, 2] a[2, 4] a[4, 1] a[4, 3] + a[1, 1] a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 2] - a[1, 1] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 3] + a[1, 1] a[1, 3] a[2, 2] a[2, 4] a[3, 1] a[4, 3] - a[1, 1] a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 1] + a[1, 1] a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 4] - a[1, 1] a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 2] + a[1, 1] a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 1] + a[1, 1] a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 3] - a[1, 1] a[1, 3] a[2, 3] a[3, 3] a[3, 4] a[4, 1] + a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 1] a[4, 4] 2 - a[1, 1] a[1, 3] a[2, 4] a[4, 1] a[4, 2] - a[1, 1] a[1, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 3] a[4, 1] - a[1, 1] a[1, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 4] - a[1, 1] a[1, 4] a[2, 2] a[2, 4] a[4, 1] a[4, 3] + a[1, 1] a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 2] - a[1, 1] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 3] + a[1, 1] a[1, 4] a[2, 4] a[3, 3] a[4, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 1] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 1] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 1] a[4, 4] - a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 1] - a[1, 2] a[2, 1] a[2, 3] a[2, 4] a[3, 2] a[4, 3] + a[1, 2] a[2, 1] a[2, 3] a[2, 4] a[3, 3] a[4, 2] - a[1, 2] a[2, 1] a[2, 3] a[2, 4] a[4, 2] a[4, 4] 2 + a[1, 2] a[2, 1] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[2, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[2, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] + a[1, 2] a[2, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 2] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 1] 2 + a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 4] - a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 3] a[4, 4] - a[1, 2] a[2, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 3] 2 2 2 2 + a[1, 2] a[2, 4] a[3, 1] a[4, 3] - a[1, 3] a[2, 1] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 1] a[2, 4] a[3, 1] a[4, 2] 2 - a[1, 3] a[2, 1] a[3, 1] a[3, 4] a[4, 3] 2 + a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 1] 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 4] 2 2 + a[1, 3] a[2, 4] a[3, 1] a[4, 3] 2 - a[1, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 1] 2 + a[1, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[4, 3] + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 3] a[4, 1] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 1] a[4, 4] - a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 1] + a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 1] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[3, 3] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 1] + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 1] a[4, 4] + a[1, 3] a[1, 4] a[2, 1] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 3] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 1] - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 1] a[4, 4] - a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 1] a[4, 3] + a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[3, 2] a[4, 3] - a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[3, 3] a[4, 2] + a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[4, 2] a[4, 4] + a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[3, 4] a[4, 3] - a[1, 3] a[2, 1] a[2, 3] a[3, 3] a[3, 4] a[4, 2] 2 2 - a[1, 3] a[2, 1] a[2, 4] a[4, 2] - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[3, 3] a[4, 3] + a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 1] a[2, 4] a[3, 3] a[4, 2] - a[1, 3] a[2, 1] a[2, 4] a[3, 3] a[4, 2] a[4, 4] 2 - a[1, 3] a[2, 2] a[2, 4] a[3, 1] a[4, 3] 2 + a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 1] 2 - a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 4] + a[1, 3] a[2, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 2] - a[1, 3] a[2, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 1] - a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] + a[1, 3] a[2, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 1] - a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 2] + a[1, 3] a[2, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 3] 2 - a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 1] + a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] - a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 2] + a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 2] a[4, 4] + a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] - a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 4] + a[1, 3] a[2, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 1] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[2, 2] a[4, 1] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 3] a[4, 1] a[4, 2] 2 - a[1, 4] a[2, 1] a[3, 3] a[4, 1] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 1] a[4, 1] a[4, 3] - a[1, 4] a[2, 1] a[2, 2] a[2, 4] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[2, 3] a[2, 4] a[4, 2] 2 - a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 3] + a[1, 4] a[2, 1] a[2, 4] a[3, 3] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 2] a[2, 4] a[4, 1] a[4, 3] - a[1, 4] a[2, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 2] + a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] - a[1, 4] a[2, 2] a[2, 4] a[3, 3] a[4, 1] a[4, 3] 2 - a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 3]) X[1, 2] + ( -a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 2] + a[1, 1] a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 3] + a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 4] a[4, 1] - a[1, 1] a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 2] - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 1] - a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 4] + a[1, 1] a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 3] + a[1, 1] a[1, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 3] + a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] - a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] + a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 4] - a[1, 1] a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] + a[1, 1] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 1] a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 2] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[3, 1] a[3, 4] a[4, 3] + a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 1] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 1] a[3, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 1] - a[1, 2] a[1, 4] a[2, 1] a[3, 1] a[3, 3] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[3, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 1] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 1] a[4, 4] - a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[3, 4] a[4, 3] + a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[3, 4] a[4, 2] - a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 3] a[4, 4] + a[1, 2] a[2, 1] a[2, 4] a[3, 4] a[4, 2] a[4, 3] + a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] - a[1, 2] a[2, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 1] + a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[4, 3] a[4, 4] - a[1, 2] a[2, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 2] 2 + a[1, 2] a[2, 3] a[3, 2] a[3, 4] a[4, 1] - a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 2] a[4, 4] + a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 4] + a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] - a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 1] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 1] 2 + a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 1] + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 1] - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 1] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 1] + a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 + a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 3] - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[3, 3] a[4, 2] + a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 2] a[4, 4] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 4] a[4, 2] - a[1, 3] a[2, 2] a[2, 4] a[3, 1] a[3, 2] a[4, 3] + a[1, 3] a[2, 2] a[2, 4] a[3, 2] a[3, 3] a[4, 1] - a[1, 3] a[2, 2] a[2, 4] a[3, 2] a[4, 1] a[4, 4] + a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 2] + a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 1] - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] a[4, 4] - a[1, 3] a[2, 4] a[3, 1] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 4] a[2, 3] a[3, 1] a[4, 1] a[4, 2] - a[1, 4] a[2, 2] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 4] a[2, 2] a[2, 4] a[3, 2] a[4, 1] a[4, 3] 2 + a[1, 4] a[2, 3] a[2, 4] a[3, 1] a[4, 2] - a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 2] + a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 3] - a[1, 4] a[2, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 4] a[2, 4] a[3, 1] a[3, 2] a[4, 3] + a[1, 4] a[2, 4] a[3, 1] a[3, 3] a[4, 2] a[4, 3]) X[1, 3] + X[2, 4] ( 2 a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[4, 3] 2 - a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[4, 2] 2 + a[1, 2] a[2, 1] a[2, 3] a[4, 2] a[4, 4] 2 - a[1, 2] a[2, 1] a[2, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[4, 3] 2 + a[1, 2] a[2, 2] a[2, 3] a[3, 3] a[4, 1] 2 - a[1, 2] a[2, 2] a[2, 3] a[4, 1] a[4, 4] 2 + a[1, 2] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 2 2 2 + a[1, 2] a[2, 3] a[3, 1] a[4, 2] - a[1, 2] a[2, 3] a[3, 2] a[4, 1] 2 + a[1, 2] a[2, 3] a[3, 1] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 3] a[4, 1] a[4, 4] 2 + a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 2 2 2 + a[1, 2] a[2, 3] a[4, 1] a[4, 4] - a[1, 2] a[2, 4] a[3, 1] a[4, 3] 2 - a[1, 2] a[2, 4] a[4, 1] a[4, 3] a[4, 4] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 3] a[4, 2] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[4, 2] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 2] a[4, 4] - a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 2] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 2] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 2] a[3, 1] a[3, 3] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[3, 1] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 2] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[3, 3] a[4, 2] - a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 2] a[4, 4] + a[1, 2] a[1, 3] a[3, 1] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[3, 1] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[3, 3] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 3] a[3, 3] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[3, 4] a[4, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 2] 2 + a[1, 2] a[1, 4] a[2, 1] a[3, 2] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 2] a[4, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 1] a[4, 2] + a[1, 2] a[1, 4] a[2, 2] a[3, 3] a[4, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[4, 1] a[4, 3] a[4, 4] - 2 a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 1] a[4, 2] - 2 a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 2] a[4, 4] + a[1, 2] a[1, 4] a[2, 4] a[4, 1] a[4, 2] a[4, 3] - a[1, 2] a[1, 4] a[3, 3] a[4, 1] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[3, 4] a[4, 1] a[4, 3] 2 2 - a[1, 3] a[2, 1] a[3, 2] a[4, 3] 2 + a[1, 3] a[2, 1] a[3, 2] a[3, 3] a[4, 2] 2 - a[1, 3] a[2, 1] a[3, 2] a[4, 2] a[4, 4] 2 2 + a[1, 3] a[2, 1] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 2] a[3, 1] a[3, 2] a[4, 3] 2 - a[1, 3] a[2, 2] a[3, 2] a[3, 3] a[4, 1] 2 + a[1, 3] a[2, 2] a[3, 2] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 2] 2 2 + a[1, 3] a[2, 3] a[3, 2] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 2] 2 - a[1, 3] a[3, 1] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 3] a[3, 2] a[3, 3] a[4, 1] a[4, 4] 2 2 - a[1, 3] a[3, 2] a[4, 1] a[4, 4] 2 - a[1, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 3] a[3, 4] a[4, 1] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 2] a[3, 1] a[4, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 2] a[3, 2] a[4, 1] a[4, 3] - a[1, 3] a[1, 4] a[2, 2] a[3, 3] a[4, 1] a[4, 2] + a[1, 3] a[1, 4] a[2, 2] a[4, 1] a[4, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] + 2 a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 1] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 2] 2 + a[1, 3] a[1, 4] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[3, 1] a[3, 3] a[4, 2] a[4, 3] - a[1, 3] a[1, 4] a[3, 2] a[3, 3] a[4, 1] a[4, 3] + 2 a[1, 3] a[1, 4] a[3, 2] a[4, 1] a[4, 3] a[4, 4] 2 + a[1, 3] a[1, 4] a[3, 3] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[3, 3] a[4, 1] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[3, 4] a[4, 1] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 2] a[4, 1] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 4] a[2, 3] a[4, 1] a[4, 2] - a[1, 4] a[3, 2] a[4, 1] a[4, 3] 2 + a[1, 4] a[3, 3] a[4, 1] a[4, 2] a[4, 3]) + ( 2 2 a[1, 1] a[1, 2] a[2, 3] a[3, 4] 2 - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 3] 2 + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[4, 4] 2 2 - a[1, 1] a[1, 2] a[2, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] 2 + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[4, 2] 2 - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 4] - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 3] + a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[3, 4] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[3, 3] 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 4] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 4] a[4, 2] - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 2] + a[1, 1] a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[4, 3] 2 2 2 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] - a[1, 2] a[2, 3] a[3, 4] a[4, 4] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 4] 2 2 2 2 - a[1, 2] a[2, 3] a[2, 4] a[4, 4] + a[1, 2] a[2, 4] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 4] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[3, 4] 2 - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 3] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 4] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 2] 2 + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 3] + a[1, 2] a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 4] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 4] - a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 4] - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 4] + a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 2] 2 + a[1, 2] a[1, 4] a[2, 1] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 3] a[4, 2] + 2 a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 2] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 4] a[3, 4] a[4, 3] 3 3 + a[1, 3] a[2, 1] a[3, 2] a[3, 4] - a[1, 3] a[2, 4] a[3, 1] a[3, 2] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] 2 - a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 2] 2 - a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 4] 2 2 2 2 - a[1, 3] a[2, 3] a[3, 4] a[4, 2] + a[1, 3] a[2, 4] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 4] 2 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] + a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[3, 3] a[4, 2] - a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 2] - a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 3] + a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[3, 4] a[4, 2] 2 2 + a[1, 3] a[1, 4] a[2, 4] a[4, 2] + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[3, 3] a[4, 3] - 2 a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 2] a[2, 4] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 4] a[2, 3] a[2, 4] a[4, 2] + a[1, 4] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 3]) X[4, 1] = 0 in Maple notation (-a[1,1]*a[1,2]*a[2,3]^2*a[3,4]*a[4,1]+a[1,1]*a[1,2]*a[2,3]*a[2,4]*a[3,3]*a[4,1 ]-a[1,1]*a[1,2]*a[2,3]*a[2,4]*a[4,1]*a[4,4]+a[1,1]*a[1,2]*a[2,4]^2*a[4,1]*a[4,3 ]+a[1,1]*a[1,3]*a[2,1]*a[2,3]*a[3,4]*a[4,2]-a[1,1]*a[1,3]*a[2,1]*a[2,4]*a[3,2]* a[4,3]+a[1,1]*a[1,3]*a[2,2]*a[2,4]*a[3,1]*a[4,3]-a[1,1]*a[1,3]*a[2,2]*a[2,4]*a[ 3,3]*a[4,1]+a[1,1]*a[1,3]*a[2,2]*a[2,4]*a[4,1]*a[4,4]-a[1,1]*a[1,3]*a[2,3]*a[2, 4]*a[3,1]*a[4,2]+a[1,1]*a[1,3]*a[2,3]*a[2,4]*a[3,2]*a[4,1]+a[1,1]*a[1,3]*a[2,3] *a[3,1]*a[3,4]*a[4,3]-a[1,1]*a[1,3]*a[2,3]*a[3,3]*a[3,4]*a[4,1]+a[1,1]*a[1,3]*a [2,3]*a[3,4]*a[4,1]*a[4,4]-a[1,1]*a[1,3]*a[2,4]^2*a[4,1]*a[4,2]-a[1,1]*a[1,3]*a [2,4]*a[3,1]*a[3,3]*a[4,3]+a[1,1]*a[1,3]*a[2,4]*a[3,3]^2*a[4,1]-a[1,1]*a[1,3]*a [2,4]*a[3,3]*a[4,1]*a[4,4]-a[1,1]*a[1,4]*a[2,2]*a[2,4]*a[4,1]*a[4,3]+a[1,1]*a[1 ,4]*a[2,3]*a[2,4]*a[4,1]*a[4,2]-a[1,1]*a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,3]+a[1,1 ]*a[1,4]*a[2,4]*a[3,3]*a[4,1]*a[4,3]+a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,4]*a[4,1]- a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[4,1]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,3]*a[ 4,1]+a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[4,1]*a[4,4]-a[1,2]*a[1,4]*a[2,1]*a[2,4]*a[4, 1]*a[4,3]+a[1,2]*a[1,4]*a[2,3]^2*a[3,1]*a[4,1]-a[1,2]*a[2,1]*a[2,3]*a[2,4]*a[3, 2]*a[4,3]+a[1,2]*a[2,1]*a[2,3]*a[2,4]*a[3,3]*a[4,2]-a[1,2]*a[2,1]*a[2,3]*a[2,4] *a[4,2]*a[4,4]+a[1,2]*a[2,1]*a[2,4]^2*a[4,2]*a[4,3]+a[1,2]*a[2,2]*a[2,3]*a[2,4] *a[3,1]*a[4,3]-a[1,2]*a[2,2]*a[2,3]*a[2,4]*a[3,3]*a[4,1]+a[1,2]*a[2,2]*a[2,3]*a [2,4]*a[4,1]*a[4,4]-a[1,2]*a[2,2]*a[2,4]^2*a[4,1]*a[4,3]-a[1,2]*a[2,3]^2*a[2,4] *a[3,1]*a[4,2]+a[1,2]*a[2,3]^2*a[2,4]*a[3,2]*a[4,1]+a[1,2]*a[2,3]^2*a[3,4]*a[4, 1]*a[4,4]-a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[4,3]*a[4,4]-a[1,2]*a[2,3]*a[2,4]*a[3,4] *a[4,1]*a[4,3]+a[1,2]*a[2,4]^2*a[3,1]*a[4,3]^2-a[1,3]^2*a[2,1]^2*a[3,4]*a[4,2]+ a[1,3]^2*a[2,1]*a[2,4]*a[3,1]*a[4,2]-a[1,3]^2*a[2,1]*a[3,1]*a[3,4]*a[4,3]+a[1,3 ]^2*a[2,1]*a[3,3]*a[3,4]*a[4,1]-a[1,3]^2*a[2,1]*a[3,4]*a[4,1]*a[4,4]+a[1,3]^2*a [2,4]*a[3,1]^2*a[4,3]-a[1,3]^2*a[2,4]*a[3,1]*a[3,3]*a[4,1]+a[1,3]^2*a[2,4]*a[3, 1]*a[4,1]*a[4,4]+a[1,3]*a[1,4]*a[2,1]^2*a[3,2]*a[4,3]-a[1,3]*a[1,4]*a[2,1]*a[2, 2]*a[3,1]*a[4,3]+a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[3,3]*a[4,1]-a[1,3]*a[1,4]*a[2,1] *a[2,2]*a[4,1]*a[4,4]-a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[4,1]+a[1,3]*a[1,4]*a [2,1]*a[2,4]*a[4,1]*a[4,2]+a[1,3]*a[1,4]*a[2,1]*a[3,1]*a[3,3]*a[4,3]-a[1,3]*a[1 ,4]*a[2,1]*a[3,3]^2*a[4,1]+a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,1]*a[4,4]+a[1,3]*a[1 ,4]*a[2,1]*a[3,4]*a[4,1]*a[4,3]-a[1,3]*a[1,4]*a[2,3]*a[3,1]^2*a[4,3]+a[1,3]*a[1 ,4]*a[2,3]*a[3,1]*a[3,3]*a[4,1]-a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[4,1]*a[4,4]-a[1,3 ]*a[1,4]*a[2,4]*a[3,1]*a[4,1]*a[4,3]+a[1,3]*a[2,1]*a[2,2]*a[2,4]*a[3,2]*a[4,3]- a[1,3]*a[2,1]*a[2,2]*a[2,4]*a[3,3]*a[4,2]+a[1,3]*a[2,1]*a[2,2]*a[2,4]*a[4,2]*a[ 4,4]+a[1,3]*a[2,1]*a[2,3]*a[3,2]*a[3,4]*a[4,3]-a[1,3]*a[2,1]*a[2,3]*a[3,3]*a[3, 4]*a[4,2]-a[1,3]*a[2,1]*a[2,4]^2*a[4,2]^2-a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[3,3]*a[ 4,3]+a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[4,3]*a[4,4]+a[1,3]*a[2,1]*a[2,4]*a[3,3]^2*a[ 4,2]-a[1,3]*a[2,1]*a[2,4]*a[3,3]*a[4,2]*a[4,4]-a[1,3]*a[2,2]^2*a[2,4]*a[3,1]*a[ 4,3]+a[1,3]*a[2,2]^2*a[2,4]*a[3,3]*a[4,1]-a[1,3]*a[2,2]^2*a[2,4]*a[4,1]*a[4,4]+ a[1,3]*a[2,2]*a[2,3]*a[2,4]*a[3,1]*a[4,2]-a[1,3]*a[2,2]*a[2,3]*a[2,4]*a[3,2]*a[ 4,1]-a[1,3]*a[2,2]*a[2,3]*a[3,1]*a[3,4]*a[4,3]+a[1,3]*a[2,2]*a[2,3]*a[3,3]*a[3, 4]*a[4,1]-a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,1]*a[4,4]+a[1,3]*a[2,2]*a[2,4]^2*a[4, 1]*a[4,2]+a[1,3]*a[2,2]*a[2,4]*a[3,1]*a[3,3]*a[4,3]-a[1,3]*a[2,2]*a[2,4]*a[3,3] ^2*a[4,1]+a[1,3]*a[2,2]*a[2,4]*a[3,3]*a[4,1]*a[4,4]+a[1,3]*a[2,3]^2*a[3,1]*a[3, 4]*a[4,2]-a[1,3]*a[2,3]^2*a[3,2]*a[3,4]*a[4,1]-a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[3, 3]*a[4,2]+a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[4,2]*a[4,4]+a[1,3]*a[2,3]*a[2,4]*a[3,2] *a[3,3]*a[4,1]-a[1,3]*a[2,3]*a[2,4]*a[3,2]*a[4,1]*a[4,4]+a[1,3]*a[2,3]*a[2,4]*a [3,4]*a[4,1]*a[4,2]-a[1,3]*a[2,4]^2*a[3,1]*a[4,2]*a[4,3]+a[1,4]^2*a[2,1]*a[2,2] *a[4,1]*a[4,3]-a[1,4]^2*a[2,1]*a[2,3]*a[4,1]*a[4,2]-a[1,4]^2*a[2,1]*a[3,3]*a[4, 1]*a[4,3]+a[1,4]^2*a[2,3]*a[3,1]*a[4,1]*a[4,3]-a[1,4]*a[2,1]*a[2,2]*a[2,4]*a[4, 2]*a[4,3]+a[1,4]*a[2,1]*a[2,3]*a[2,4]*a[4,2]^2-a[1,4]*a[2,1]*a[2,4]*a[3,2]*a[4, 3]^2+a[1,4]*a[2,1]*a[2,4]*a[3,3]*a[4,2]*a[4,3]+a[1,4]*a[2,2]^2*a[2,4]*a[4,1]*a[ 4,3]-a[1,4]*a[2,2]*a[2,3]*a[2,4]*a[4,1]*a[4,2]+a[1,4]*a[2,2]*a[2,3]*a[3,4]*a[4, 1]*a[4,3]-a[1,4]*a[2,2]*a[2,4]*a[3,3]*a[4,1]*a[4,3]-a[1,4]*a[2,3]^2*a[3,4]*a[4, 1]*a[4,2]+a[1,4]*a[2,3]*a[2,4]*a[3,2]*a[4,1]*a[4,3])*X[1,2]+(-a[1,1]*a[1,2]*a[2 ,1]*a[2,3]*a[3,4]*a[4,2]+a[1,1]*a[1,2]*a[2,1]*a[2,4]*a[3,2]*a[4,3]+a[1,1]*a[1,2 ]*a[2,2]*a[2,3]*a[3,4]*a[4,1]-a[1,1]*a[1,2]*a[2,2]*a[2,4]*a[3,1]*a[4,3]+a[1,1]* a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[4,2]-a[1,1]*a[1,2]*a[2,3]*a[2,4]*a[3,2]*a[4,1]-a[ 1,1]*a[1,2]*a[2,3]*a[3,1]*a[3,4]*a[4,3]-a[1,1]*a[1,2]*a[2,3]*a[3,4]*a[4,1]*a[4, 4]+a[1,1]*a[1,2]*a[2,4]*a[3,1]*a[3,3]*a[4,3]+a[1,1]*a[1,2]*a[2,4]*a[3,4]*a[4,1] *a[4,3]+a[1,1]*a[1,3]*a[2,3]*a[3,2]*a[3,4]*a[4,1]-a[1,1]*a[1,3]*a[2,4]*a[3,2]*a [3,3]*a[4,1]+a[1,1]*a[1,3]*a[2,4]*a[3,2]*a[4,1]*a[4,4]-a[1,1]*a[1,3]*a[2,4]*a[3 ,4]*a[4,1]*a[4,2]+a[1,1]*a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,2]-a[1,1]*a[1,4]*a[2,4 ]*a[3,2]*a[4,1]*a[4,3]+a[1,2]*a[1,3]*a[2,1]^2*a[3,4]*a[4,2]-a[1,2]*a[1,3]*a[2,1 ]*a[2,2]*a[3,4]*a[4,1]-a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,1]*a[4,2]+a[1,2]*a[1,3]* a[2,1]*a[3,1]*a[3,4]*a[4,3]+a[1,2]*a[1,3]*a[2,1]*a[3,4]*a[4,1]*a[4,4]+a[1,2]*a[ 1,3]*a[2,2]*a[2,4]*a[3,1]*a[4,1]-a[1,2]*a[1,3]*a[2,4]*a[3,1]^2*a[4,3]-a[1,2]*a[ 1,3]*a[2,4]*a[3,1]*a[4,1]*a[4,4]-a[1,2]*a[1,4]*a[2,1]^2*a[3,2]*a[4,3]+a[1,2]*a[ 1,4]*a[2,1]*a[2,2]*a[3,1]*a[4,3]+a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[4,1]-a[1, 2]*a[1,4]*a[2,1]*a[3,1]*a[3,3]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[3,4]*a[4,1]*a[4,3] -a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,1]*a[4,1]+a[1,2]*a[1,4]*a[2,3]*a[3,1]^2*a[4,3] +a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[4,1]*a[4,4]-a[1,2]*a[2,1]*a[2,3]*a[3,2]*a[3,4]*a [4,3]+a[1,2]*a[2,1]*a[2,3]*a[3,3]*a[3,4]*a[4,2]-a[1,2]*a[2,1]*a[2,4]*a[3,2]*a[4 ,3]*a[4,4]+a[1,2]*a[2,1]*a[2,4]*a[3,4]*a[4,2]*a[4,3]+a[1,2]*a[2,2]*a[2,3]*a[3,1 ]*a[3,4]*a[4,3]-a[1,2]*a[2,2]*a[2,3]*a[3,3]*a[3,4]*a[4,1]+a[1,2]*a[2,2]*a[2,4]* a[3,1]*a[4,3]*a[4,4]-a[1,2]*a[2,2]*a[2,4]*a[3,4]*a[4,1]*a[4,3]-a[1,2]*a[2,3]^2* a[3,1]*a[3,4]*a[4,2]+a[1,2]*a[2,3]^2*a[3,2]*a[3,4]*a[4,1]-a[1,2]*a[2,3]*a[2,4]* a[3,1]*a[4,2]*a[4,4]+a[1,2]*a[2,3]*a[2,4]*a[3,2]*a[4,1]*a[4,4]+a[1,2]*a[2,3]*a[ 3,3]*a[3,4]*a[4,1]*a[4,4]-a[1,2]*a[2,3]*a[3,4]^2*a[4,1]*a[4,3]-a[1,2]*a[2,4]*a[ 3,1]*a[3,3]*a[4,3]*a[4,4]+a[1,2]*a[2,4]*a[3,1]*a[3,4]*a[4,3]^2-a[1,3]^2*a[2,1]* a[3,2]*a[3,4]*a[4,1]+a[1,3]^2*a[2,4]*a[3,1]*a[3,2]*a[4,1]+a[1,3]*a[1,4]*a[2,1]* a[3,2]*a[3,3]*a[4,1]-a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[4,1]*a[4,4]-a[1,3]*a[1,4]*a[ 2,3]*a[3,1]*a[3,2]*a[4,1]+a[1,3]*a[1,4]*a[2,4]*a[3,1]*a[4,1]*a[4,2]+a[1,3]*a[2, 1]*a[2,4]*a[3,2]^2*a[4,3]-a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[3,3]*a[4,2]+a[1,3]*a[2, 1]*a[2,4]*a[3,2]*a[4,2]*a[4,4]-a[1,3]*a[2,1]*a[2,4]*a[3,4]*a[4,2]^2-a[1,3]*a[2, 2]*a[2,4]*a[3,1]*a[3,2]*a[4,3]+a[1,3]*a[2,2]*a[2,4]*a[3,2]*a[3,3]*a[4,1]-a[1,3] *a[2,2]*a[2,4]*a[3,2]*a[4,1]*a[4,4]+a[1,3]*a[2,2]*a[2,4]*a[3,4]*a[4,1]*a[4,2]+a [1,3]*a[2,3]*a[2,4]*a[3,1]*a[3,2]*a[4,2]-a[1,3]*a[2,3]*a[2,4]*a[3,2]^2*a[4,1]-a [1,3]*a[2,3]*a[3,2]*a[3,4]*a[4,1]*a[4,4]+a[1,3]*a[2,3]*a[3,4]^2*a[4,1]*a[4,2]+a [1,3]*a[2,4]*a[3,1]*a[3,2]*a[4,3]*a[4,4]-a[1,3]*a[2,4]*a[3,1]*a[3,4]*a[4,2]*a[4 ,3]+a[1,4]^2*a[2,1]*a[3,2]*a[4,1]*a[4,3]-a[1,4]^2*a[2,3]*a[3,1]*a[4,1]*a[4,2]-a [1,4]*a[2,2]*a[2,4]*a[3,1]*a[4,2]*a[4,3]+a[1,4]*a[2,2]*a[2,4]*a[3,2]*a[4,1]*a[4 ,3]+a[1,4]*a[2,3]*a[2,4]*a[3,1]*a[4,2]^2-a[1,4]*a[2,3]*a[2,4]*a[3,2]*a[4,1]*a[4 ,2]+a[1,4]*a[2,3]*a[3,2]*a[3,4]*a[4,1]*a[4,3]-a[1,4]*a[2,3]*a[3,3]*a[3,4]*a[4,1 ]*a[4,2]-a[1,4]*a[2,4]*a[3,1]*a[3,2]*a[4,3]^2+a[1,4]*a[2,4]*a[3,1]*a[3,3]*a[4,2 ]*a[4,3])*X[1,3]+X[2,4]*(a[1,2]^2*a[2,1]*a[2,3]*a[3,2]*a[4,3]-a[1,2]^2*a[2,1]*a [2,3]*a[3,3]*a[4,2]+a[1,2]^2*a[2,1]*a[2,3]*a[4,2]*a[4,4]-a[1,2]^2*a[2,1]*a[2,4] *a[4,2]*a[4,3]-a[1,2]^2*a[2,2]*a[2,3]*a[3,1]*a[4,3]+a[1,2]^2*a[2,2]*a[2,3]*a[3, 3]*a[4,1]-a[1,2]^2*a[2,2]*a[2,3]*a[4,1]*a[4,4]+a[1,2]^2*a[2,2]*a[2,4]*a[4,1]*a[ 4,3]+a[1,2]^2*a[2,3]^2*a[3,1]*a[4,2]-a[1,2]^2*a[2,3]^2*a[3,2]*a[4,1]+a[1,2]^2*a [2,3]*a[3,1]*a[4,3]*a[4,4]-a[1,2]^2*a[2,3]*a[3,3]*a[4,1]*a[4,4]+a[1,2]^2*a[2,3] *a[3,4]*a[4,1]*a[4,3]+a[1,2]^2*a[2,3]*a[4,1]*a[4,4]^2-a[1,2]^2*a[2,4]*a[3,1]*a[ 4,3]^2-a[1,2]^2*a[2,4]*a[4,1]*a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[3,2]* a[4,3]+a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[3,3]*a[4,2]-a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[ 4,2]*a[4,4]+a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[4,2]^2+a[1,2]*a[1,3]*a[2,1]*a[3,2]*a[ 3,3]*a[4,3]-a[1,2]*a[1,3]*a[2,1]*a[3,3]^2*a[4,2]+a[1,2]*a[1,3]*a[2,1]*a[3,3]*a[ 4,2]*a[4,4]-a[1,2]*a[1,3]*a[2,1]*a[3,4]*a[4,2]*a[4,3]+a[1,2]*a[1,3]*a[2,2]^2*a[ 3,1]*a[4,3]-a[1,2]*a[1,3]*a[2,2]^2*a[3,3]*a[4,1]+a[1,2]*a[1,3]*a[2,2]^2*a[4,1]* a[4,4]-a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,1]*a[4,2]+a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[ 3,2]*a[4,1]-a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,1]*a[4,2]-a[1,2]*a[1,3]*a[2,2]*a[3, 1]*a[3,3]*a[4,3]-a[1,2]*a[1,3]*a[2,2]*a[3,1]*a[4,3]*a[4,4]+a[1,2]*a[1,3]*a[2,2] *a[3,3]^2*a[4,1]-a[1,2]*a[1,3]*a[2,2]*a[4,1]*a[4,4]^2+a[1,2]*a[1,3]*a[2,3]*a[3, 1]*a[3,3]*a[4,2]-a[1,2]*a[1,3]*a[2,3]*a[3,2]*a[3,3]*a[4,1]-a[1,2]*a[1,3]*a[2,3] *a[3,4]*a[4,1]*a[4,2]+a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[4,2]*a[4,3]+a[1,2]*a[1,3]*a [2,4]*a[3,2]*a[4,1]*a[4,3]+a[1,2]*a[1,3]*a[2,4]*a[4,1]*a[4,2]*a[4,4]+a[1,2]*a[1 ,3]*a[3,1]*a[3,3]*a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[3,1]*a[3,4]*a[4,3]^2-a[1,2]*a[1 ,3]*a[3,3]^2*a[4,1]*a[4,4]+a[1,2]*a[1,3]*a[3,3]*a[3,4]*a[4,1]*a[4,3]+a[1,2]*a[1 ,3]*a[3,3]*a[4,1]*a[4,4]^2-a[1,2]*a[1,3]*a[3,4]*a[4,1]*a[4,3]*a[4,4]+a[1,2]*a[1 ,4]*a[2,1]*a[2,2]*a[4,2]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[4,2]^2+a[1,2]*a[1 ,4]*a[2,1]*a[3,2]*a[4,3]^2-a[1,2]*a[1,4]*a[2,1]*a[3,3]*a[4,2]*a[4,3]-a[1,2]*a[1 ,4]*a[2,2]^2*a[4,1]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[4,1]*a[4,2]+a[1,2]*a[1 ,4]*a[2,2]*a[3,3]*a[4,1]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[4,1]*a[4,3]*a[4,4]-2*a[1 ,2]*a[1,4]*a[2,3]*a[3,2]*a[4,1]*a[4,3]+a[1,2]*a[1,4]*a[2,3]*a[3,3]*a[4,1]*a[4,2 ]-2*a[1,2]*a[1,4]*a[2,3]*a[4,1]*a[4,2]*a[4,4]+a[1,2]*a[1,4]*a[2,4]*a[4,1]*a[4,2 ]*a[4,3]-a[1,2]*a[1,4]*a[3,3]*a[4,1]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[3,4]*a[4,1]* a[4,3]^2-a[1,3]^2*a[2,1]*a[3,2]^2*a[4,3]+a[1,3]^2*a[2,1]*a[3,2]*a[3,3]*a[4,2]-a [1,3]^2*a[2,1]*a[3,2]*a[4,2]*a[4,4]+a[1,3]^2*a[2,1]*a[3,4]*a[4,2]^2+a[1,3]^2*a[ 2,2]*a[3,1]*a[3,2]*a[4,3]-a[1,3]^2*a[2,2]*a[3,2]*a[3,3]*a[4,1]+a[1,3]^2*a[2,2]* a[3,2]*a[4,1]*a[4,4]-a[1,3]^2*a[2,3]*a[3,1]*a[3,2]*a[4,2]+a[1,3]^2*a[2,3]*a[3,2 ]^2*a[4,1]-a[1,3]^2*a[2,4]*a[3,2]*a[4,1]*a[4,2]-a[1,3]^2*a[3,1]*a[3,2]*a[4,3]*a [4,4]+a[1,3]^2*a[3,1]*a[3,4]*a[4,2]*a[4,3]+a[1,3]^2*a[3,2]*a[3,3]*a[4,1]*a[4,4] -a[1,3]^2*a[3,2]*a[4,1]*a[4,4]^2-a[1,3]^2*a[3,3]*a[3,4]*a[4,1]*a[4,2]+a[1,3]^2* a[3,4]*a[4,1]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,2]*a[3,1]*a[4,2]*a[4,3]-a[1,3]*a[ 1,4]*a[2,2]*a[3,2]*a[4,1]*a[4,3]-a[1,3]*a[1,4]*a[2,2]*a[3,3]*a[4,1]*a[4,2]+a[1, 3]*a[1,4]*a[2,2]*a[4,1]*a[4,2]*a[4,4]-a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[4,2]^2+2*a[ 1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,4]*a[4,1]*a[4,2]^2+a[ 1,3]*a[1,4]*a[3,1]*a[3,2]*a[4,3]^2-a[1,3]*a[1,4]*a[3,1]*a[3,3]*a[4,2]*a[4,3]-a[ 1,3]*a[1,4]*a[3,2]*a[3,3]*a[4,1]*a[4,3]+2*a[1,3]*a[1,4]*a[3,2]*a[4,1]*a[4,3]*a[ 4,4]+a[1,3]*a[1,4]*a[3,3]^2*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[3,3]*a[4,1]*a[4,2]*a[ 4,4]-a[1,3]*a[1,4]*a[3,4]*a[4,1]*a[4,2]*a[4,3]-a[1,4]^2*a[2,2]*a[4,1]*a[4,2]*a[ 4,3]+a[1,4]^2*a[2,3]*a[4,1]*a[4,2]^2-a[1,4]^2*a[3,2]*a[4,1]*a[4,3]^2+a[1,4]^2*a [3,3]*a[4,1]*a[4,2]*a[4,3])+(a[1,1]*a[1,2]^2*a[2,3]^2*a[3,4]-a[1,1]*a[1,2]^2*a[ 2,3]*a[2,4]*a[3,3]+a[1,1]*a[1,2]^2*a[2,3]*a[2,4]*a[4,4]-a[1,1]*a[1,2]^2*a[2,4]^ 2*a[4,3]-a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]+a[1,1]*a[1,2]*a[1,3]*a[2,2]* a[2,4]*a[3,3]-a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,4]+a[1,1]*a[1,2]*a[1,3]*a[ 2,3]*a[3,3]*a[3,4]+a[1,1]*a[1,2]*a[1,3]*a[2,4]^2*a[4,2]-a[1,1]*a[1,2]*a[1,3]*a[ 2,4]*a[3,3]^2+a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,4]-a[1,1]*a[1,2]*a[1,3]*a[ 2,4]*a[3,4]*a[4,3]+a[1,1]*a[1,2]*a[1,4]*a[2,2]*a[2,4]*a[4,3]-a[1,1]*a[1,2]*a[1, 4]*a[2,3]*a[2,4]*a[4,2]+a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,3]-a[1,1]*a[1,2] *a[1,4]*a[2,4]*a[3,3]*a[4,3]-a[1,1]*a[1,3]^2*a[2,3]*a[3,2]*a[3,4]+a[1,1]*a[1,3] ^2*a[2,4]*a[3,2]*a[3,3]-a[1,1]*a[1,3]^2*a[2,4]*a[3,2]*a[4,4]+a[1,1]*a[1,3]^2*a[ 2,4]*a[3,4]*a[4,2]-a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[3,4]*a[4,2]+a[1,1]*a[1,3]*a[1, 4]*a[2,4]*a[3,2]*a[4,3]-a[1,2]^2*a[1,3]*a[2,1]*a[2,3]*a[3,4]+a[1,2]^2*a[1,3]*a[ 2,3]*a[2,4]*a[3,1]+a[1,2]^2*a[1,4]*a[2,1]*a[2,3]*a[3,3]-a[1,2]^2*a[1,4]*a[2,1]* a[2,3]*a[4,4]+a[1,2]^2*a[1,4]*a[2,1]*a[2,4]*a[4,3]-a[1,2]^2*a[1,4]*a[2,3]^2*a[3 ,1]-a[1,2]^2*a[2,3]^2*a[3,4]*a[4,4]+a[1,2]^2*a[2,3]*a[2,4]*a[3,3]*a[4,4]-a[1,2] ^2*a[2,3]*a[2,4]*a[4,4]^2+a[1,2]^2*a[2,4]^2*a[4,3]*a[4,4]+a[1,2]*a[1,3]^2*a[2,1 ]*a[2,2]*a[3,4]-a[1,2]*a[1,3]^2*a[2,1]*a[3,3]*a[3,4]-a[1,2]*a[1,3]^2*a[2,2]*a[2 ,4]*a[3,1]+a[1,2]*a[1,3]^2*a[2,4]*a[3,1]*a[3,3]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[2 ,2]*a[3,3]+a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[4,4]-a[1,2]*a[1,3]*a[1,4]*a[2,1 ]*a[2,4]*a[4,2]+a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[3,3]^2-a[1,2]*a[1,3]*a[1,4]*a[2,1 ]*a[3,3]*a[4,4]+a[1,2]*a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[3,1]-a[1,2]*a[1,3]*a[1,4]* a[2,3]*a[3,1]*a[3,3]+a[1,2]*a[1,3]*a[1,4]*a[2,4]*a[3,1]*a[4,3]+a[1,2]*a[1,3]*a[ 2,2]*a[2,3]*a[3,4]*a[4,4]-a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,3]*a[4,4]+a[1,2]*a[1, 3]*a[2,2]*a[2,4]*a[3,4]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,4]^2-a[1,2]*a[1, 3]*a[2,3]*a[3,3]*a[3,4]*a[4,4]+a[1,2]*a[1,3]*a[2,3]*a[3,4]^2*a[4,3]-a[1,2]*a[1, 3]*a[2,4]^2*a[3,2]*a[4,3]-a[1,2]*a[1,3]*a[2,4]^2*a[4,2]*a[4,4]+a[1,2]*a[1,3]*a[ 2,4]*a[3,3]^2*a[4,4]-a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[3,4]*a[4,3]-a[1,2]*a[1,3]*a[ 2,4]*a[3,3]*a[4,4]^2+a[1,2]*a[1,3]*a[2,4]*a[3,4]*a[4,3]*a[4,4]-a[1,2]*a[1,4]^2* a[2,1]*a[2,2]*a[4,3]+a[1,2]*a[1,4]^2*a[2,1]*a[2,3]*a[4,2]+a[1,2]*a[1,4]^2*a[2,1 ]*a[3,3]*a[4,3]-a[1,2]*a[1,4]^2*a[2,3]*a[3,1]*a[4,3]-a[1,2]*a[1,4]*a[2,2]*a[2,3 ]*a[3,4]*a[4,3]-a[1,2]*a[1,4]*a[2,2]*a[2,4]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,3]^ 2*a[3,4]*a[4,2]+a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[3,2]*a[4,3]-a[1,2]*a[1,4]*a[2,3]* a[2,4]*a[3,3]*a[4,2]+2*a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[4,2]*a[4,4]-a[1,2]*a[1,4]* a[2,4]^2*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[2,4]*a[3,3]*a[4,3]*a[4,4]-a[1,2]*a[1,4]* a[2,4]*a[3,4]*a[4,3]^2+a[1,3]^3*a[2,1]*a[3,2]*a[3,4]-a[1,3]^3*a[2,4]*a[3,1]*a[3 ,2]-a[1,3]^2*a[1,4]*a[2,1]*a[3,2]*a[3,3]+a[1,3]^2*a[1,4]*a[2,1]*a[3,2]*a[4,4]+a [1,3]^2*a[1,4]*a[2,3]*a[3,1]*a[3,2]-a[1,3]^2*a[1,4]*a[2,4]*a[3,1]*a[4,2]-a[1,3] ^2*a[2,2]*a[2,4]*a[3,4]*a[4,2]+a[1,3]^2*a[2,3]*a[3,2]*a[3,4]*a[4,4]-a[1,3]^2*a[ 2,3]*a[3,4]^2*a[4,2]+a[1,3]^2*a[2,4]^2*a[3,2]*a[4,2]-a[1,3]^2*a[2,4]*a[3,2]*a[3 ,3]*a[4,4]+a[1,3]^2*a[2,4]*a[3,2]*a[4,4]^2+a[1,3]^2*a[2,4]*a[3,3]*a[3,4]*a[4,2] -a[1,3]^2*a[2,4]*a[3,4]*a[4,2]*a[4,4]-a[1,3]*a[1,4]^2*a[2,1]*a[3,2]*a[4,3]+a[1, 3]*a[1,4]^2*a[2,3]*a[3,1]*a[4,2]+a[1,3]*a[1,4]*a[2,2]*a[2,4]*a[3,3]*a[4,2]-a[1, 3]*a[1,4]*a[2,2]*a[2,4]*a[4,2]*a[4,4]-a[1,3]*a[1,4]*a[2,3]*a[2,4]*a[3,2]*a[4,2] -a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[3,4]*a[4,3]+a[1,3]*a[1,4]*a[2,3]*a[3,3]*a[3,4]*a [4,2]+a[1,3]*a[1,4]*a[2,4]^2*a[4,2]^2+a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[3,3]*a[4,3] -2*a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,3]*a[4,4]-a[1,3]*a[1,4]*a[2,4]*a[3,3]^2*a[4, 2]+a[1,3]*a[1,4]*a[2,4]*a[3,3]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,4]*a[3,4]*a[4,2] *a[4,3]+a[1,4]^2*a[2,2]*a[2,4]*a[4,2]*a[4,3]-a[1,4]^2*a[2,3]*a[2,4]*a[4,2]^2+a[ 1,4]^2*a[2,4]*a[3,2]*a[4,3]^2-a[1,4]^2*a[2,4]*a[3,3]*a[4,2]*a[4,3])*X[4,1] = 0 ------------------------------------ Theorem number, 19, : let, {X[1, 2], X[1, 3], X[2, 4], X[4, 2]}, be the entri\ es of an ARBITRARY power of the general matrix M, we always have the lin\ ear relation 2 (a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 1] + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 3] 2 + a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 2] - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 1] a[3, 4] a[4, 2] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 1] + a[1, 1] a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] - a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 2] + a[1, 1] a[1, 3] a[2, 2] a[2, 4] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 2] a[4, 4] + a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 3] a[4, 4] + a[1, 1] a[1, 4] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 1] a[1, 4] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 3] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 4] 2 2 - a[1, 2] a[2, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 1] - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 2] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 1] - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 3] + a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 3] - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 4] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 2] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 2] 2 + a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 2] a[4, 4] + a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 3] a[4, 4] + a[1, 2] a[2, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 2 - a[1, 2] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 1] 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 4] 2 - a[1, 3] a[2, 2] a[2, 4] a[3, 2] a[4, 1] 2 + a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 4] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 1] a[3, 4] a[4, 2] a[4, 3] + a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3] + a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 2] a[4, 4] - a[1, 3] a[2, 2] a[2, 4] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[2, 3] a[2, 4] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 3] 2 2 + a[1, 4] a[2, 1] a[2, 3] a[4, 2] 2 + a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 3] - a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 2] a[2, 4] a[3, 2] a[4, 3] 2 2 + a[1, 4] a[2, 3] a[3, 4] a[4, 2] - a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 2] a[4, 3]) X[1, 2] + ( 2 -a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 1] a[1, 2] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 1] 2 - a[1, 1] a[1, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 2] - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 1] - a[1, 1] a[1, 2] a[1, 4] a[2, 1] a[3, 2] a[4, 3] + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 2] + a[1, 1] a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 2] + a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 2] a[4, 4] - a[1, 1] a[1, 2] a[2, 4] a[3, 2] a[3, 3] a[4, 3] - a[1, 1] a[1, 2] a[2, 4] a[3, 2] a[4, 3] a[4, 4] - a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 2] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 1] a[1, 4] a[2, 3] a[3, 4] a[4, 2] + a[1, 1] a[1, 4] a[2, 4] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 1] 2 + a[1, 2] a[1, 4] a[2, 1] a[3, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 1] 2 + a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 1] 2 + a[1, 2] a[2, 4] a[3, 1] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[4, 2] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 1] - a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 4] - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] + a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[3, 4] a[4, 2] a[4, 3] - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 4] - a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3] - a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 2] a[2, 3] a[3, 4] a[4, 2] a[4, 3] + a[1, 2] a[2, 4] a[3, 2] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 4] a[3, 2] a[3, 4] a[4, 3] 2 + a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 2] 2 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 1] - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 2] - a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 2] + a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 2] a[4, 4] 2 2 - a[1, 3] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[2, 4] a[3, 2] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[3, 2] a[4, 2] a[4, 3] 2 2 + a[1, 4] a[2, 3] a[3, 1] a[4, 2] - a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 3] a[3, 4] a[4, 2] 2 2 + a[1, 4] a[2, 4] a[3, 2] a[4, 3] - a[1, 4] a[2, 4] a[3, 2] a[3, 3] a[4, 2] a[4, 3]) X[1, 3] + X[2, 4] ( 2 a[1, 1] a[1, 2] a[2, 3] a[3, 2] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 3] a[4, 2] 2 + a[1, 1] a[1, 2] a[2, 3] a[4, 2] a[4, 4] 2 - a[1, 1] a[1, 2] a[2, 4] a[4, 2] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[3, 2] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 2] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[4, 2] a[4, 4] 2 + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[3, 2] a[3, 3] a[4, 3] 2 - a[1, 1] a[1, 2] a[1, 3] a[3, 3] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[3, 3] a[4, 2] a[4, 4] - a[1, 1] a[1, 2] a[1, 3] a[3, 4] a[4, 2] a[4, 3] + a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[4, 2] a[4, 3] 2 - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[4, 2] 2 + a[1, 1] a[1, 2] a[1, 4] a[3, 2] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[3, 3] a[4, 2] a[4, 3] 2 2 - a[1, 1] a[1, 3] a[3, 2] a[4, 3] 2 + a[1, 1] a[1, 3] a[3, 2] a[3, 3] a[4, 2] 2 - a[1, 1] a[1, 3] a[3, 2] a[4, 2] a[4, 4] 2 2 3 + a[1, 1] a[1, 3] a[3, 4] a[4, 2] - a[1, 2] a[2, 3] a[3, 1] a[4, 3] 3 3 + a[1, 2] a[2, 3] a[3, 3] a[4, 1] - a[1, 2] a[2, 3] a[4, 1] a[4, 4] 3 + a[1, 2] a[2, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 2] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 2] 2 - a[1, 2] a[1, 3] a[3, 1] a[3, 3] a[4, 3] 2 2 + a[1, 2] a[1, 3] a[3, 3] a[4, 1] 2 - a[1, 2] a[1, 3] a[3, 3] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 2] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 2] 2 2 - a[1, 2] a[1, 4] a[3, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[3, 3] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 3] a[3, 3] a[4, 2] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 2] a[2, 3] a[4, 2] a[4, 4] + a[1, 2] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 2] a[2, 4] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 2] a[3, 1] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 2] a[4, 1] 2 + a[1, 2] a[1, 3] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[3, 1] a[3, 3] a[4, 2] 2 - 2 a[1, 2] a[1, 3] a[3, 2] a[3, 3] a[4, 1] 2 + a[1, 2] a[1, 3] a[3, 2] a[4, 1] a[4, 4] 2 - a[1, 2] a[1, 3] a[3, 4] a[4, 1] a[4, 2] + 2 a[1, 2] a[1, 3] a[1, 4] a[3, 1] a[4, 2] a[4, 3] - 2 a[1, 2] a[1, 3] a[1, 4] a[3, 2] a[4, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[3, 2] a[4, 3] a[4, 4] - a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 2] a[4, 2] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 2] - 2 a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 4] - a[1, 2] a[1, 3] a[3, 2] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[3, 2] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[3, 3] a[4, 2] a[4, 4] - a[1, 2] a[1, 3] a[3, 3] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[3, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 3] a[3, 4] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 2] a[3, 2] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[4, 2] a[4, 3] a[4, 4] + 2 a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 2] 2 + 2 a[1, 2] a[1, 4] a[2, 3] a[4, 2] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[3, 3] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[3, 4] a[4, 2] a[4, 3] 3 3 2 - a[1, 3] a[3, 1] a[3, 2] a[4, 2] + a[1, 3] a[3, 2] a[4, 1] 2 2 - a[1, 3] a[1, 4] a[3, 1] a[4, 2] 2 + a[1, 3] a[1, 4] a[3, 2] a[4, 1] a[4, 2] 2 2 2 2 - a[1, 3] a[2, 2] a[3, 4] a[4, 2] + a[1, 3] a[2, 4] a[3, 2] a[4, 2] 2 2 + a[1, 3] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[3, 2] a[3, 3] a[4, 2] a[4, 4] 2 - a[1, 3] a[3, 2] a[3, 4] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 3] a[3, 2] a[4, 2] a[4, 4] + a[1, 3] a[3, 3] a[3, 4] a[4, 2] 2 2 - a[1, 3] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 2] a[3, 3] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 2] a[4, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 2] 3 2 2 + a[1, 3] a[1, 4] a[2, 4] a[4, 2] - a[1, 3] a[1, 4] a[3, 2] a[4, 3] + 2 a[1, 3] a[1, 4] a[3, 2] a[3, 3] a[4, 2] a[4, 3] - 2 a[1, 3] a[1, 4] a[3, 2] a[4, 2] a[4, 3] a[4, 4] 2 2 - a[1, 3] a[1, 4] a[3, 3] a[4, 2] 2 + a[1, 3] a[1, 4] a[3, 3] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[3, 4] a[4, 2] a[4, 3] 2 2 2 3 + a[1, 4] a[2, 2] a[4, 2] a[4, 3] - a[1, 4] a[2, 3] a[4, 2] 2 2 2 2 + a[1, 4] a[3, 2] a[4, 2] a[4, 3] - a[1, 4] a[3, 3] a[4, 2] a[4, 3]) 2 2 + (-a[1, 1] a[1, 2] a[2, 3] a[3, 4] 2 + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 3] 2 - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[4, 4] 2 2 + a[1, 1] a[1, 2] a[2, 4] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 4] - a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] 2 - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[4, 2] 2 + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 3] + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 2] - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 3] + a[1, 1] a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[3, 4] 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[3, 3] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 4] 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 4] a[4, 2] + a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 2] - a[1, 1] a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] 2 - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[4, 3] 2 2 2 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 1] + a[1, 2] a[2, 3] a[3, 4] a[4, 4] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 4] 2 2 2 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 4] - a[1, 2] a[2, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 4] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[3, 4] 2 + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 1] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 3] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 2] 2 - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 3] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 4] - a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 1] + a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 4] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 4] + a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 4] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 4] - a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 2] 2 - a[1, 2] a[1, 4] a[2, 1] a[3, 3] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 2] - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 3] a[4, 2] - 2 a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 2] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 4] a[4, 2] a[4, 3] - a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 4] a[3, 4] a[4, 3] 3 3 - a[1, 3] a[2, 1] a[3, 2] a[3, 4] + a[1, 3] a[2, 4] a[3, 1] a[3, 2] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] 2 + a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 2] 2 + a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 4] 2 2 2 2 + a[1, 3] a[2, 3] a[3, 4] a[4, 2] - a[1, 3] a[2, 4] a[3, 2] a[4, 2] 2 + a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 4] 2 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 4] 2 - a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 3] - a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[3, 4] a[4, 2] 2 2 - a[1, 3] a[1, 4] a[2, 4] a[4, 2] - a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[3, 3] a[4, 3] + 2 a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 2] - a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 2] a[2, 4] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 4] a[2, 3] a[2, 4] a[4, 2] - a[1, 4] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 3]) X[4, 2] = 0 in Maple notation (a[1,1]^2*a[1,3]*a[2,3]*a[3,4]*a[4,2]-a[1,1]^2*a[1,3]*a[2,4]*a[3,2]*a[4,3]-a[1, 1]*a[1,2]*a[1,3]*a[2,3]*a[3,4]*a[4,1]+a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[4,3] +a[1,1]*a[1,2]*a[2,3]^2*a[3,4]*a[4,2]-a[1,1]*a[1,2]*a[2,3]*a[2,4]*a[3,2]*a[4,3] -a[1,1]*a[1,3]^2*a[2,1]*a[3,4]*a[4,2]+a[1,1]*a[1,3]^2*a[2,4]*a[3,2]*a[4,1]+a[1, 1]*a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[4,3]-a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[4,2] -a[1,1]*a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,2]+a[1,1]*a[1,3]*a[2,2]*a[2,4]*a[3,2]*a [4,3]-a[1,1]*a[1,3]*a[2,3]*a[3,4]*a[4,2]*a[4,4]+a[1,1]*a[1,3]*a[2,4]*a[3,2]*a[4 ,3]*a[4,4]+a[1,1]*a[1,4]*a[2,3]*a[3,4]*a[4,2]*a[4,3]-a[1,1]*a[1,4]*a[2,4]*a[3,2 ]*a[4,3]^2+a[1,2]^2*a[2,3]*a[2,4]*a[3,1]*a[4,3]-a[1,2]^2*a[2,3]*a[2,4]*a[3,3]*a [4,1]+a[1,2]^2*a[2,3]*a[2,4]*a[4,1]*a[4,4]-a[1,2]^2*a[2,4]^2*a[4,1]*a[4,3]+a[1, 2]*a[1,3]^2*a[2,1]*a[3,4]*a[4,1]-a[1,2]*a[1,3]^2*a[2,4]*a[3,1]*a[4,1]-a[1,2]*a[ 1,3]*a[1,4]*a[2,1]*a[3,1]*a[4,3]+a[1,2]*a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[4,1]-a[1, 2]*a[1,3]*a[2,1]*a[2,3]*a[3,4]*a[4,2]-a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,1]*a[4,3] +a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,3]*a[4,1]-a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,1]*a [4,4]+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,2]*a[4,1]-a[1,2]*a[1,3]*a[2,3]*a[3,1]*a[3 ,4]*a[4,3]+a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[3,4]*a[4,1]+a[1,2]*a[1,3]*a[2,4]^2*a[4 ,1]*a[4,2]+a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[3,3]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[3,1 ]*a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[2,4]*a[3,3]^2*a[4,1]+a[1,2]*a[1,3]*a[2,4]*a[3,3 ]*a[4,1]*a[4,4]+a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,3]*a[4,2]-a[1,2]*a[1,4]*a[2,1]* a[2,3]*a[4,2]*a[4,4]+a[1,2]*a[1,4]*a[2,1]*a[2,4]*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[ 2,2]*a[2,4]*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,3]^2*a[3,1]*a[4,2]-a[1,2]*a[1,4]*a[ 2,3]*a[2,4]*a[4,1]*a[4,2]+a[1,2]*a[1,4]*a[2,4]*a[3,1]*a[4,3]^2-a[1,2]*a[1,4]*a[ 2,4]*a[3,3]*a[4,1]*a[4,3]-a[1,2]*a[2,3]^2*a[3,4]*a[4,2]*a[4,4]+a[1,2]*a[2,3]*a[ 2,4]*a[3,2]*a[4,3]*a[4,4]+a[1,2]*a[2,3]*a[2,4]*a[3,4]*a[4,2]*a[4,3]-a[1,2]*a[2, 4]^2*a[3,2]*a[4,3]^2+a[1,3]^2*a[1,4]*a[2,1]*a[3,1]*a[4,2]-a[1,3]^2*a[1,4]*a[2,1 ]*a[3,2]*a[4,1]+a[1,3]^2*a[2,1]*a[2,2]*a[3,4]*a[4,2]+a[1,3]^2*a[2,1]*a[3,2]*a[3 ,4]*a[4,3]-a[1,3]^2*a[2,1]*a[3,3]*a[3,4]*a[4,2]+a[1,3]^2*a[2,1]*a[3,4]*a[4,2]*a [4,4]-a[1,3]^2*a[2,2]*a[2,4]*a[3,2]*a[4,1]+a[1,3]^2*a[2,3]*a[3,1]*a[3,4]*a[4,2] -a[1,3]^2*a[2,3]*a[3,2]*a[3,4]*a[4,1]-a[1,3]^2*a[2,4]*a[3,1]*a[3,2]*a[4,3]+a[1, 3]^2*a[2,4]*a[3,2]*a[3,3]*a[4,1]-a[1,3]^2*a[2,4]*a[3,2]*a[4,1]*a[4,4]-a[1,3]*a[ 1,4]*a[2,1]*a[2,2]*a[3,3]*a[4,2]+a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[4,2]*a[4,4]-a[1, 3]*a[1,4]*a[2,1]*a[2,4]*a[4,2]^2-a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[3,3]*a[4,3]+a[1, 3]*a[1,4]*a[2,1]*a[3,3]^2*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,2]*a[4,4]-a[1, 3]*a[1,4]*a[2,1]*a[3,4]*a[4,2]*a[4,3]+a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[3,1]*a[4,2] +a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,3]-a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,3]*a [4,2]+a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4 ,1]*a[4,3]+a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,2]*a[4,4]-a[1,3]*a[2,2]*a[2,4]*a[3,2 ]*a[4,3]*a[4,4]-a[1,3]*a[2,3]*a[2,4]*a[3,4]*a[4,2]^2+a[1,3]*a[2,4]^2*a[3,2]*a[4 ,2]*a[4,3]-a[1,4]^2*a[2,1]*a[2,2]*a[4,2]*a[4,3]+a[1,4]^2*a[2,1]*a[2,3]*a[4,2]^2 +a[1,4]^2*a[2,1]*a[3,3]*a[4,2]*a[4,3]-a[1,4]^2*a[2,3]*a[3,1]*a[4,2]*a[4,3]-a[1, 4]*a[2,2]*a[2,3]*a[3,4]*a[4,2]*a[4,3]+a[1,4]*a[2,2]*a[2,4]*a[3,2]*a[4,3]^2+a[1, 4]*a[2,3]^2*a[3,4]*a[4,2]^2-a[1,4]*a[2,3]*a[2,4]*a[3,2]*a[4,2]*a[4,3])*X[1,2]+( -a[1,1]^2*a[1,2]*a[2,3]*a[3,4]*a[4,2]+a[1,1]^2*a[1,2]*a[2,4]*a[3,2]*a[4,3]+a[1, 1]*a[1,2]^2*a[2,3]*a[3,4]*a[4,1]-a[1,1]*a[1,2]^2*a[2,4]*a[3,1]*a[4,3]+a[1,1]*a[ 1,2]*a[1,3]*a[2,1]*a[3,4]*a[4,2]-a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,2]*a[4,1]-a[1, 1]*a[1,2]*a[1,4]*a[2,1]*a[3,2]*a[4,3]+a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[4,2] +a[1,1]*a[1,2]*a[2,3]*a[3,3]*a[3,4]*a[4,2]+a[1,1]*a[1,2]*a[2,3]*a[3,4]*a[4,2]*a [4,4]-a[1,1]*a[1,2]*a[2,4]*a[3,2]*a[3,3]*a[4,3]-a[1,1]*a[1,2]*a[2,4]*a[3,2]*a[4 ,3]*a[4,4]-a[1,1]*a[1,3]*a[2,3]*a[3,2]*a[3,4]*a[4,2]+a[1,1]*a[1,3]*a[2,4]*a[3,2 ]^2*a[4,3]-a[1,1]*a[1,4]*a[2,3]*a[3,4]*a[4,2]^2+a[1,1]*a[1,4]*a[2,4]*a[3,2]*a[4 ,2]*a[4,3]-a[1,2]^2*a[1,3]*a[2,1]*a[3,4]*a[4,1]+a[1,2]^2*a[1,3]*a[2,4]*a[3,1]*a [4,1]+a[1,2]^2*a[1,4]*a[2,1]*a[3,1]*a[4,3]-a[1,2]^2*a[1,4]*a[2,3]*a[3,1]*a[4,1] +a[1,2]^2*a[2,3]*a[3,1]*a[3,4]*a[4,3]-a[1,2]^2*a[2,3]*a[3,3]*a[3,4]*a[4,1]+a[1, 2]^2*a[2,4]*a[3,1]*a[4,3]*a[4,4]-a[1,2]^2*a[2,4]*a[3,4]*a[4,1]*a[4,3]-a[1,2]*a[ 1,3]*a[1,4]*a[2,1]*a[3,1]*a[4,2]+a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[4,1]-a[1, 2]*a[1,3]*a[2,1]*a[3,2]*a[3,4]*a[4,3]-a[1,2]*a[1,3]*a[2,1]*a[3,4]*a[4,2]*a[4,4] -a[1,2]*a[1,3]*a[2,3]*a[3,1]*a[3,4]*a[4,2]+a[1,2]*a[1,3]*a[2,3]*a[3,2]*a[3,4]*a [4,1]+a[1,2]*a[1,3]*a[2,4]*a[3,2]*a[3,3]*a[4,1]+a[1,2]*a[1,3]*a[2,4]*a[3,4]*a[4 ,1]*a[4,2]+a[1,2]*a[1,4]*a[2,1]*a[3,2]*a[3,3]*a[4,3]+a[1,2]*a[1,4]*a[2,1]*a[3,4 ]*a[4,2]*a[4,3]-a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,3]-a[1,2]*a[1,4]*a[2,3]* a[3,1]*a[4,2]*a[4,4]-a[1,2]*a[1,4]*a[2,4]*a[3,1]*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[ 2,4]*a[3,2]*a[4,1]*a[4,3]-a[1,2]*a[2,3]*a[3,3]*a[3,4]*a[4,2]*a[4,4]+a[1,2]*a[2, 3]*a[3,4]^2*a[4,2]*a[4,3]+a[1,2]*a[2,4]*a[3,2]*a[3,3]*a[4,3]*a[4,4]-a[1,2]*a[2, 4]*a[3,2]*a[3,4]*a[4,3]^2+a[1,3]^2*a[2,1]*a[3,2]*a[3,4]*a[4,2]-a[1,3]^2*a[2,4]* a[3,2]^2*a[4,1]-a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[3,3]*a[4,2]+a[1,3]*a[1,4]*a[2,1]* a[3,2]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,2]-a[1,3]*a[1,4]*a[ 2,4]*a[3,2]*a[4,1]*a[4,2]+a[1,3]*a[2,3]*a[3,2]*a[3,4]*a[4,2]*a[4,4]-a[1,3]*a[2, 3]*a[3,4]^2*a[4,2]^2-a[1,3]*a[2,4]*a[3,2]^2*a[4,3]*a[4,4]+a[1,3]*a[2,4]*a[3,2]* a[3,4]*a[4,2]*a[4,3]-a[1,4]^2*a[2,1]*a[3,2]*a[4,2]*a[4,3]+a[1,4]^2*a[2,3]*a[3,1 ]*a[4,2]^2-a[1,4]*a[2,3]*a[3,2]*a[3,4]*a[4,2]*a[4,3]+a[1,4]*a[2,3]*a[3,3]*a[3,4 ]*a[4,2]^2+a[1,4]*a[2,4]*a[3,2]^2*a[4,3]^2-a[1,4]*a[2,4]*a[3,2]*a[3,3]*a[4,2]*a [4,3])*X[1,3]+X[2,4]*(a[1,1]*a[1,2]^2*a[2,3]*a[3,2]*a[4,3]-a[1,1]*a[1,2]^2*a[2, 3]*a[3,3]*a[4,2]+a[1,1]*a[1,2]^2*a[2,3]*a[4,2]*a[4,4]-a[1,1]*a[1,2]^2*a[2,4]*a[ 4,2]*a[4,3]-a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[3,2]*a[4,3]+a[1,1]*a[1,2]*a[1,3]*a[2, 2]*a[3,3]*a[4,2]-a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[4,2]*a[4,4]+a[1,1]*a[1,2]*a[1,3] *a[2,4]*a[4,2]^2+a[1,1]*a[1,2]*a[1,3]*a[3,2]*a[3,3]*a[4,3]-a[1,1]*a[1,2]*a[1,3] *a[3,3]^2*a[4,2]+a[1,1]*a[1,2]*a[1,3]*a[3,3]*a[4,2]*a[4,4]-a[1,1]*a[1,2]*a[1,3] *a[3,4]*a[4,2]*a[4,3]+a[1,1]*a[1,2]*a[1,4]*a[2,2]*a[4,2]*a[4,3]-a[1,1]*a[1,2]*a [1,4]*a[2,3]*a[4,2]^2+a[1,1]*a[1,2]*a[1,4]*a[3,2]*a[4,3]^2-a[1,1]*a[1,2]*a[1,4] *a[3,3]*a[4,2]*a[4,3]-a[1,1]*a[1,3]^2*a[3,2]^2*a[4,3]+a[1,1]*a[1,3]^2*a[3,2]*a[ 3,3]*a[4,2]-a[1,1]*a[1,3]^2*a[3,2]*a[4,2]*a[4,4]+a[1,1]*a[1,3]^2*a[3,4]*a[4,2]^ 2-a[1,2]^3*a[2,3]*a[3,1]*a[4,3]+a[1,2]^3*a[2,3]*a[3,3]*a[4,1]-a[1,2]^3*a[2,3]*a [4,1]*a[4,4]+a[1,2]^3*a[2,4]*a[4,1]*a[4,3]+a[1,2]^2*a[1,3]*a[2,2]*a[3,1]*a[4,3] -a[1,2]^2*a[1,3]*a[2,2]*a[3,3]*a[4,1]+a[1,2]^2*a[1,3]*a[2,2]*a[4,1]*a[4,4]+a[1, 2]^2*a[1,3]*a[2,3]*a[3,1]*a[4,2]-a[1,2]^2*a[1,3]*a[2,3]*a[3,2]*a[4,1]-a[1,2]^2* a[1,3]*a[2,4]*a[4,1]*a[4,2]-a[1,2]^2*a[1,3]*a[3,1]*a[3,3]*a[4,3]+a[1,2]^2*a[1,3 ]*a[3,3]^2*a[4,1]-a[1,2]^2*a[1,3]*a[3,3]*a[4,1]*a[4,4]+a[1,2]^2*a[1,3]*a[3,4]*a [4,1]*a[4,3]-a[1,2]^2*a[1,4]*a[2,2]*a[4,1]*a[4,3]+a[1,2]^2*a[1,4]*a[2,3]*a[4,1] *a[4,2]-a[1,2]^2*a[1,4]*a[3,1]*a[4,3]^2+a[1,2]^2*a[1,4]*a[3,3]*a[4,1]*a[4,3]-a[ 1,2]^2*a[2,3]*a[3,2]*a[4,3]*a[4,4]+a[1,2]^2*a[2,3]*a[3,3]*a[4,2]*a[4,4]-a[1,2]^ 2*a[2,3]*a[3,4]*a[4,2]*a[4,3]-a[1,2]^2*a[2,3]*a[4,2]*a[4,4]^2+a[1,2]^2*a[2,4]*a [3,2]*a[4,3]^2+a[1,2]^2*a[2,4]*a[4,2]*a[4,3]*a[4,4]-a[1,2]*a[1,3]^2*a[2,2]*a[3, 1]*a[4,2]+a[1,2]*a[1,3]^2*a[2,2]*a[3,2]*a[4,1]+a[1,2]*a[1,3]^2*a[3,1]*a[3,2]*a[ 4,3]+a[1,2]*a[1,3]^2*a[3,1]*a[3,3]*a[4,2]-2*a[1,2]*a[1,3]^2*a[3,2]*a[3,3]*a[4,1 ]+a[1,2]*a[1,3]^2*a[3,2]*a[4,1]*a[4,4]-a[1,2]*a[1,3]^2*a[3,4]*a[4,1]*a[4,2]+2*a [1,2]*a[1,3]*a[1,4]*a[3,1]*a[4,2]*a[4,3]-2*a[1,2]*a[1,3]*a[1,4]*a[3,2]*a[4,1]*a [4,3]+a[1,2]*a[1,3]*a[2,2]*a[3,2]*a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[2,2]*a[3,3]*a[4 ,2]*a[4,4]+a[1,2]*a[1,3]*a[2,2]*a[3,4]*a[4,2]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[4,2 ]*a[4,4]^2+a[1,2]*a[1,3]*a[2,3]*a[3,4]*a[4,2]^2-2*a[1,2]*a[1,3]*a[2,4]*a[3,2]*a [4,2]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[4,2]^2*a[4,4]-a[1,2]*a[1,3]*a[3,2]*a[3,3]*a [4,3]*a[4,4]+a[1,2]*a[1,3]*a[3,2]*a[3,4]*a[4,3]^2+a[1,2]*a[1,3]*a[3,3]^2*a[4,2] *a[4,4]-a[1,2]*a[1,3]*a[3,3]*a[3,4]*a[4,2]*a[4,3]-a[1,2]*a[1,3]*a[3,3]*a[4,2]*a [4,4]^2+a[1,2]*a[1,3]*a[3,4]*a[4,2]*a[4,3]*a[4,4]-a[1,2]*a[1,4]*a[2,2]*a[3,2]*a [4,3]^2-a[1,2]*a[1,4]*a[2,2]*a[4,2]*a[4,3]*a[4,4]+2*a[1,2]*a[1,4]*a[2,3]*a[3,2] *a[4,2]*a[4,3]-a[1,2]*a[1,4]*a[2,3]*a[3,3]*a[4,2]^2+2*a[1,2]*a[1,4]*a[2,3]*a[4, 2]^2*a[4,4]-a[1,2]*a[1,4]*a[2,4]*a[4,2]^2*a[4,3]+a[1,2]*a[1,4]*a[3,3]*a[4,2]*a[ 4,3]*a[4,4]-a[1,2]*a[1,4]*a[3,4]*a[4,2]*a[4,3]^2-a[1,3]^3*a[3,1]*a[3,2]*a[4,2]+ a[1,3]^3*a[3,2]^2*a[4,1]-a[1,3]^2*a[1,4]*a[3,1]*a[4,2]^2+a[1,3]^2*a[1,4]*a[3,2] *a[4,1]*a[4,2]-a[1,3]^2*a[2,2]*a[3,4]*a[4,2]^2+a[1,3]^2*a[2,4]*a[3,2]*a[4,2]^2+ a[1,3]^2*a[3,2]^2*a[4,3]*a[4,4]-a[1,3]^2*a[3,2]*a[3,3]*a[4,2]*a[4,4]-a[1,3]^2*a [3,2]*a[3,4]*a[4,2]*a[4,3]+a[1,3]^2*a[3,2]*a[4,2]*a[4,4]^2+a[1,3]^2*a[3,3]*a[3, 4]*a[4,2]^2-a[1,3]^2*a[3,4]*a[4,2]^2*a[4,4]+a[1,3]*a[1,4]*a[2,2]*a[3,3]*a[4,2]^ 2-a[1,3]*a[1,4]*a[2,2]*a[4,2]^2*a[4,4]-a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,2]^2+a[1 ,3]*a[1,4]*a[2,4]*a[4,2]^3-a[1,3]*a[1,4]*a[3,2]^2*a[4,3]^2+2*a[1,3]*a[1,4]*a[3, 2]*a[3,3]*a[4,2]*a[4,3]-2*a[1,3]*a[1,4]*a[3,2]*a[4,2]*a[4,3]*a[4,4]-a[1,3]*a[1, 4]*a[3,3]^2*a[4,2]^2+a[1,3]*a[1,4]*a[3,3]*a[4,2]^2*a[4,4]+a[1,3]*a[1,4]*a[3,4]* a[4,2]^2*a[4,3]+a[1,4]^2*a[2,2]*a[4,2]^2*a[4,3]-a[1,4]^2*a[2,3]*a[4,2]^3+a[1,4] ^2*a[3,2]*a[4,2]*a[4,3]^2-a[1,4]^2*a[3,3]*a[4,2]^2*a[4,3])+(-a[1,1]*a[1,2]^2*a[ 2,3]^2*a[3,4]+a[1,1]*a[1,2]^2*a[2,3]*a[2,4]*a[3,3]-a[1,1]*a[1,2]^2*a[2,3]*a[2,4 ]*a[4,4]+a[1,1]*a[1,2]^2*a[2,4]^2*a[4,3]+a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3 ,4]-a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,3]+a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,4 ]*a[4,4]-a[1,1]*a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[3,4]-a[1,1]*a[1,2]*a[1,3]*a[2,4]^ 2*a[4,2]+a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,3]^2-a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,3 ]*a[4,4]+a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,4]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,2]* a[2,4]*a[4,3]+a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[4,2]-a[1,1]*a[1,2]*a[1,4]*a[ 2,3]*a[3,4]*a[4,3]+a[1,1]*a[1,2]*a[1,4]*a[2,4]*a[3,3]*a[4,3]+a[1,1]*a[1,3]^2*a[ 2,3]*a[3,2]*a[3,4]-a[1,1]*a[1,3]^2*a[2,4]*a[3,2]*a[3,3]+a[1,1]*a[1,3]^2*a[2,4]* a[3,2]*a[4,4]-a[1,1]*a[1,3]^2*a[2,4]*a[3,4]*a[4,2]+a[1,1]*a[1,3]*a[1,4]*a[2,3]* a[3,4]*a[4,2]-a[1,1]*a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,3]+a[1,2]^2*a[1,3]*a[2,1]* a[2,3]*a[3,4]-a[1,2]^2*a[1,3]*a[2,3]*a[2,4]*a[3,1]-a[1,2]^2*a[1,4]*a[2,1]*a[2,3 ]*a[3,3]+a[1,2]^2*a[1,4]*a[2,1]*a[2,3]*a[4,4]-a[1,2]^2*a[1,4]*a[2,1]*a[2,4]*a[4 ,3]+a[1,2]^2*a[1,4]*a[2,3]^2*a[3,1]+a[1,2]^2*a[2,3]^2*a[3,4]*a[4,4]-a[1,2]^2*a[ 2,3]*a[2,4]*a[3,3]*a[4,4]+a[1,2]^2*a[2,3]*a[2,4]*a[4,4]^2-a[1,2]^2*a[2,4]^2*a[4 ,3]*a[4,4]-a[1,2]*a[1,3]^2*a[2,1]*a[2,2]*a[3,4]+a[1,2]*a[1,3]^2*a[2,1]*a[3,3]*a [3,4]+a[1,2]*a[1,3]^2*a[2,2]*a[2,4]*a[3,1]-a[1,2]*a[1,3]^2*a[2,4]*a[3,1]*a[3,3] +a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[3,3]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,2]*a [4,4]+a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[4,2]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[3 ,3]^2+a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,4]-a[1,2]*a[1,3]*a[1,4]*a[2,2]*a[2 ,3]*a[3,1]+a[1,2]*a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,3]-a[1,2]*a[1,3]*a[1,4]*a[2,4 ]*a[3,1]*a[4,3]-a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,4]+a[1,2]*a[1,3]*a[2,2]* a[2,4]*a[3,3]*a[4,4]-a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,4]*a[4,3]-a[1,2]*a[1,3]*a[ 2,2]*a[2,4]*a[4,4]^2+a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[3,4]*a[4,4]-a[1,2]*a[1,3]*a[ 2,3]*a[3,4]^2*a[4,3]+a[1,2]*a[1,3]*a[2,4]^2*a[3,2]*a[4,3]+a[1,2]*a[1,3]*a[2,4]^ 2*a[4,2]*a[4,4]-a[1,2]*a[1,3]*a[2,4]*a[3,3]^2*a[4,4]+a[1,2]*a[1,3]*a[2,4]*a[3,3 ]*a[3,4]*a[4,3]+a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,4]^2-a[1,2]*a[1,3]*a[2,4]*a[3,4 ]*a[4,3]*a[4,4]+a[1,2]*a[1,4]^2*a[2,1]*a[2,2]*a[4,3]-a[1,2]*a[1,4]^2*a[2,1]*a[2 ,3]*a[4,2]-a[1,2]*a[1,4]^2*a[2,1]*a[3,3]*a[4,3]+a[1,2]*a[1,4]^2*a[2,3]*a[3,1]*a [4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,4]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,4]*a[4 ,3]*a[4,4]-a[1,2]*a[1,4]*a[2,3]^2*a[3,4]*a[4,2]-a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[3 ,2]*a[4,3]+a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[3,3]*a[4,2]-2*a[1,2]*a[1,4]*a[2,3]*a[2 ,4]*a[4,2]*a[4,4]+a[1,2]*a[1,4]*a[2,4]^2*a[4,2]*a[4,3]-a[1,2]*a[1,4]*a[2,4]*a[3 ,3]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,4]*a[3,4]*a[4,3]^2-a[1,3]^3*a[2,1]*a[3,2]*a [3,4]+a[1,3]^3*a[2,4]*a[3,1]*a[3,2]+a[1,3]^2*a[1,4]*a[2,1]*a[3,2]*a[3,3]-a[1,3] ^2*a[1,4]*a[2,1]*a[3,2]*a[4,4]-a[1,3]^2*a[1,4]*a[2,3]*a[3,1]*a[3,2]+a[1,3]^2*a[ 1,4]*a[2,4]*a[3,1]*a[4,2]+a[1,3]^2*a[2,2]*a[2,4]*a[3,4]*a[4,2]-a[1,3]^2*a[2,3]* a[3,2]*a[3,4]*a[4,4]+a[1,3]^2*a[2,3]*a[3,4]^2*a[4,2]-a[1,3]^2*a[2,4]^2*a[3,2]*a [4,2]+a[1,3]^2*a[2,4]*a[3,2]*a[3,3]*a[4,4]-a[1,3]^2*a[2,4]*a[3,2]*a[4,4]^2-a[1, 3]^2*a[2,4]*a[3,3]*a[3,4]*a[4,2]+a[1,3]^2*a[2,4]*a[3,4]*a[4,2]*a[4,4]+a[1,3]*a[ 1,4]^2*a[2,1]*a[3,2]*a[4,3]-a[1,3]*a[1,4]^2*a[2,3]*a[3,1]*a[4,2]-a[1,3]*a[1,4]* a[2,2]*a[2,4]*a[3,3]*a[4,2]+a[1,3]*a[1,4]*a[2,2]*a[2,4]*a[4,2]*a[4,4]+a[1,3]*a[ 1,4]*a[2,3]*a[2,4]*a[3,2]*a[4,2]+a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[3,4]*a[4,3]-a[1, 3]*a[1,4]*a[2,3]*a[3,3]*a[3,4]*a[4,2]-a[1,3]*a[1,4]*a[2,4]^2*a[4,2]^2-a[1,3]*a[ 1,4]*a[2,4]*a[3,2]*a[3,3]*a[4,3]+2*a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,3]*a[4,4]+a[ 1,3]*a[1,4]*a[2,4]*a[3,3]^2*a[4,2]-a[1,3]*a[1,4]*a[2,4]*a[3,3]*a[4,2]*a[4,4]-a[ 1,3]*a[1,4]*a[2,4]*a[3,4]*a[4,2]*a[4,3]-a[1,4]^2*a[2,2]*a[2,4]*a[4,2]*a[4,3]+a[ 1,4]^2*a[2,3]*a[2,4]*a[4,2]^2-a[1,4]^2*a[2,4]*a[3,2]*a[4,3]^2+a[1,4]^2*a[2,4]*a [3,3]*a[4,2]*a[4,3])*X[4,2] = 0 ------------------------------------ Theorem number, 20, : let, {X[1, 2], X[1, 3], X[2, 4], X[4, 3]}, be the entri\ es of an ARBITRARY power of the general matrix M, we always have the lin\ ear relation 2 (-a[1, 1] a[1, 3] a[2, 2] a[2, 4] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 3] a[2, 4] a[4, 2] 2 - a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 3] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 1] - a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[2, 4] a[4, 3] 2 + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[4, 2] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 3] + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 1] a[2, 4] a[4, 2] 2 + a[1, 1] a[1, 3] a[2, 1] a[3, 4] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 2] a[2, 4] a[4, 1] 2 + a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 1] 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 1] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 3] a[4, 1] + a[1, 1] a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 3] - a[1, 1] a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[4, 2] - a[1, 1] a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 3] + a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 2] a[2, 4] a[4, 3] - a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[2, 4] a[4, 2] + a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 3] - a[1, 1] a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 3] + a[1, 1] a[1, 3] a[2, 2] a[2, 4] a[4, 3] a[4, 4] - a[1, 1] a[1, 3] a[2, 3] a[2, 4] a[4, 2] a[4, 4] + a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 3] a[4, 4] - a[1, 1] a[1, 3] a[2, 4] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 1] a[1, 4] a[2, 2] a[2, 4] a[4, 3] + a[1, 1] a[1, 4] a[2, 3] a[2, 4] a[4, 2] a[4, 3] 2 - a[1, 1] a[1, 4] a[2, 3] a[3, 4] a[4, 3] 2 + a[1, 1] a[1, 4] a[2, 4] a[3, 3] a[4, 3] 2 + a[1, 2] a[2, 1] a[2, 3] a[2, 4] a[4, 3] 2 2 - a[1, 2] a[2, 3] a[2, 4] a[4, 1] 2 - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[4, 3] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[2, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 3] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 3] a[4, 4] + 2 a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[2, 4] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 3] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 3] + a[1, 2] a[2, 2] a[2, 3] a[2, 4] a[4, 3] a[4, 4] 2 2 - a[1, 2] a[2, 2] a[2, 4] a[4, 3] 2 - a[1, 2] a[2, 3] a[2, 4] a[4, 2] a[4, 4] 2 + a[1, 2] a[2, 3] a[3, 4] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 2] a[4, 3] - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 4] a[4, 3] 2 2 3 + a[1, 2] a[2, 4] a[3, 3] a[4, 3] - a[1, 3] a[2, 1] a[3, 4] a[4, 1] 3 2 2 + a[1, 3] a[2, 4] a[3, 1] a[4, 1] + a[1, 3] a[1, 4] a[2, 1] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 1] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 1] 2 + a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 3] a[4, 2] 2 + a[1, 3] a[2, 1] a[2, 4] a[4, 2] a[4, 4] 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 3] a[4, 4] 2 2 - a[1, 3] a[2, 2] a[2, 4] a[4, 1] 2 - a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 1] 2 + a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 1] 2 + a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 2] 2 2 - a[1, 3] a[2, 4] a[4, 1] a[4, 2] 2 + a[1, 3] a[2, 4] a[3, 1] a[4, 3] a[4, 4] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 3] a[4, 4] + a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 4] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 3] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 3] 2 - a[1, 3] a[2, 2] a[2, 4] a[4, 3] a[4, 4] + a[1, 3] a[2, 2] a[2, 3] a[2, 4] a[4, 2] a[4, 4] - a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 2] a[2, 4] a[4, 2] a[4, 3] + a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 3] a[4, 4] 2 2 - a[1, 3] a[2, 3] a[2, 4] a[4, 2] + a[1, 3] a[2, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 3] a[2, 4] a[3, 3] a[4, 2] a[4, 3] 2 2 + a[1, 4] a[2, 1] a[2, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[2, 3] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 4] a[2, 1] a[3, 3] a[4, 3] + a[1, 4] a[2, 3] a[3, 1] a[4, 3] 2 2 + a[1, 4] a[2, 2] a[2, 4] a[4, 3] - 2 a[1, 4] a[2, 2] a[2, 3] a[2, 4] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 3] 2 - a[1, 4] a[2, 2] a[2, 4] a[3, 3] a[4, 3] 2 2 + a[1, 4] a[2, 3] a[2, 4] a[4, 2] 2 - a[1, 4] a[2, 3] a[3, 4] a[4, 2] a[4, 3] + a[1, 4] a[2, 3] a[2, 4] a[3, 3] a[4, 2] a[4, 3]) X[1, 2] + ( 2 a[1, 1] a[1, 2] a[2, 2] a[2, 4] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[4, 2] 2 + a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 4] a[3, 3] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 1] a[2, 4] a[4, 3] 2 + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[4, 1] + a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 2] - a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] - a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 1] + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] - a[1, 1] a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[4, 3] + a[1, 1] a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 2] + a[1, 1] a[1, 2] a[1, 4] a[2, 1] a[3, 3] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 3] - a[1, 1] a[1, 2] a[2, 2] a[2, 4] a[3, 3] a[4, 3] - a[1, 1] a[1, 2] a[2, 2] a[2, 4] a[4, 3] a[4, 4] + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 2] + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[4, 2] a[4, 4] - a[1, 1] a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 3] a[4, 4] 2 + a[1, 1] a[1, 2] a[2, 4] a[3, 3] a[4, 3] + a[1, 1] a[1, 2] a[2, 4] a[3, 3] a[4, 3] a[4, 4] + a[1, 1] a[1, 3] a[2, 2] a[2, 4] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 2] + a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 3] - a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 3] + a[1, 1] a[1, 4] a[2, 2] a[2, 4] a[4, 2] a[4, 3] 2 - a[1, 1] a[1, 4] a[2, 3] a[2, 4] a[4, 2] + a[1, 1] a[1, 4] a[2, 3] a[3, 4] a[4, 2] a[4, 3] - a[1, 1] a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 3] 2 2 + a[1, 2] a[1, 4] a[2, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 1] 2 + a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 3] 2 + a[1, 2] a[2, 1] a[2, 4] a[4, 3] a[4, 4] 2 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 1] 2 - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[4, 2] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 1] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 2] a[4, 4] + a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 3] + a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 3] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 1] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 1] - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 3] - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 3] a[4, 4] - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[3, 3] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 2] - a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 1] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 1] a[3, 4] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 2] + a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 3] + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 2] a[2, 2] a[2, 4] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 2] a[2, 4] a[3, 4] a[4, 3] - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 2] a[4, 4] + a[1, 2] a[2, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 3] + a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 3] a[4, 4] 2 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 4] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 3] 2 + a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 2] a[2, 4] a[3, 2] a[4, 1] 2 + a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 3] - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 3] a[4, 4] - a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] + a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3] + a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 1] a[4, 2] - a[1, 3] a[2, 2] a[2, 4] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 2] a[4, 3] + a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 2] a[4, 4] 2 - a[1, 3] a[2, 3] a[2, 4] a[3, 4] a[4, 2] - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 3] a[3, 4] a[4, 2] a[4, 3] + a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 3] a[4, 4] - a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 2] a[4, 3] 2 2 + a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 - a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 2] a[2, 4] a[3, 2] a[4, 3] - a[1, 4] a[2, 2] a[2, 4] a[3, 3] a[4, 2] a[4, 3] - a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 3] a[2, 4] a[3, 3] a[4, 2] 2 + a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 3] - a[1, 4] a[2, 3] a[3, 3] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 4] a[3, 2] a[3, 3] a[4, 3] 2 + a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 3]) X[1, 3] + X[2, 4] ( 2 a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[4, 3] 2 2 - a[1, 1] a[1, 2] a[2, 3] a[4, 2] 2 - a[1, 1] a[1, 2] a[2, 3] a[4, 3] a[4, 4] 2 2 + a[1, 1] a[1, 2] a[2, 4] a[4, 3] 2 - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[4, 3] a[4, 4] - a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[4, 2] - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 1] a[1, 2] a[1, 3] a[3, 4] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 2] a[3, 2] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[4, 2] 2 + a[1, 1] a[1, 3] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 1] a[1, 3] a[3, 4] a[4, 2] a[4, 3] - a[1, 1] a[1, 3] a[1, 4] a[2, 2] a[4, 2] a[4, 3] 2 + a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[4, 2] 2 - a[1, 1] a[1, 3] a[1, 4] a[3, 2] a[4, 3] + a[1, 1] a[1, 3] a[1, 4] a[3, 3] a[4, 2] a[4, 3] 3 3 2 - a[1, 2] a[2, 1] a[2, 3] a[4, 3] + a[1, 2] a[2, 3] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 3] 2 - 2 a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 3] a[4, 1] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 3] 2 2 - a[1, 2] a[1, 4] a[2, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 2] a[2, 3] a[4, 3] a[4, 4] 2 2 2 2 + a[1, 2] a[2, 2] a[2, 4] a[4, 3] + a[1, 2] a[2, 3] a[4, 2] a[4, 4] 2 - a[1, 2] a[2, 3] a[2, 4] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 2] a[2, 3] a[3, 4] a[4, 3] + a[1, 2] a[2, 3] a[4, 3] a[4, 4] 2 2 2 2 - a[1, 2] a[2, 4] a[3, 3] a[4, 3] - a[1, 2] a[2, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 2] 2 2 + a[1, 2] a[1, 3] a[2, 2] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 2] a[4, 1] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 2] 2 + a[1, 2] a[1, 3] a[3, 3] a[4, 1] a[4, 4] 2 - a[1, 2] a[1, 3] a[3, 4] a[4, 1] a[4, 3] + 2 a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 3] - 2 a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[4, 1] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 2] a[4, 3] a[4, 4] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[4, 2] a[4, 4] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 2] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[4, 2] a[4, 4] - 2 a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[3, 4] a[4, 3] a[4, 4] 2 2 - a[1, 2] a[1, 4] a[2, 2] a[4, 3] + 2 a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 2] a[3, 3] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 2] a[4, 3] a[4, 4] 2 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 2] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 3] - 2 a[1, 2] a[1, 4] a[2, 3] a[4, 2] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[3, 3] a[4, 3] a[4, 4] 3 3 + a[1, 2] a[1, 4] a[3, 4] a[4, 3] - a[1, 3] a[2, 1] a[3, 2] a[4, 2] 3 3 + a[1, 3] a[2, 2] a[3, 2] a[4, 1] - a[1, 3] a[3, 2] a[4, 1] a[4, 4] 3 2 2 + a[1, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 2] a[4, 1] a[4, 2] 2 + a[1, 3] a[1, 4] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 3] a[1, 4] a[3, 3] a[4, 1] a[4, 2] 2 + a[1, 3] a[2, 2] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[2, 3] a[3, 2] a[4, 2] a[4, 4] 2 2 + a[1, 3] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 2] a[4, 3] 2 2 - a[1, 3] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[3, 4] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 2] a[3, 2] a[4, 3] + a[1, 3] a[1, 4] a[2, 2] a[4, 2] a[4, 3] a[4, 4] + 2 a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 4] a[4, 2] a[4, 3] 2 + 2 a[1, 3] a[1, 4] a[3, 2] a[4, 3] a[4, 4] - a[1, 3] a[1, 4] a[3, 3] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[1, 4] a[3, 4] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 4] a[2, 2] a[4, 2] a[4, 3] + a[1, 4] a[2, 3] a[4, 2] a[4, 3] 2 3 2 2 - a[1, 4] a[3, 2] a[4, 3] + a[1, 4] a[3, 3] a[4, 2] a[4, 3] ) + ( 2 2 a[1, 1] a[1, 2] a[2, 3] a[3, 4] 2 - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 3] 2 + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[4, 4] 2 2 - a[1, 1] a[1, 2] a[2, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] 2 + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[4, 2] 2 - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 4] - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 3] + a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[3, 4] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[3, 3] 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 4] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 4] a[4, 2] - a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[3, 4] a[4, 2] + a[1, 1] a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 3] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[4, 3] 2 2 2 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] - a[1, 2] a[2, 3] a[3, 4] a[4, 4] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 4] 2 2 2 2 - a[1, 2] a[2, 3] a[2, 4] a[4, 4] + a[1, 2] a[2, 4] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 4] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[3, 4] 2 - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 3] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 4] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 4] a[4, 2] 2 + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 3] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 3] + a[1, 2] a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 4] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 3] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 4] - a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[3, 4] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 4] - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 4] + a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 2] 2 + a[1, 2] a[1, 4] a[2, 1] a[3, 3] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 3] a[4, 2] + 2 a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[4, 2] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 4] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 4] a[3, 4] a[4, 3] 3 3 + a[1, 3] a[2, 1] a[3, 2] a[3, 4] - a[1, 3] a[2, 4] a[3, 1] a[3, 2] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[3, 3] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] 2 - a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 2] 2 - a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 4] 2 2 2 2 - a[1, 3] a[2, 3] a[3, 4] a[4, 2] + a[1, 3] a[2, 4] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 4] 2 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[4, 2] + a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[3, 3] a[4, 2] - a[1, 3] a[1, 4] a[2, 2] a[2, 4] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 2] - a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 3] + a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[3, 4] a[4, 2] 2 2 + a[1, 3] a[1, 4] a[2, 4] a[4, 2] + a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[3, 3] a[4, 3] - 2 a[1, 3] a[1, 4] a[2, 4] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 2] a[2, 4] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 4] a[2, 3] a[2, 4] a[4, 2] + a[1, 4] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 4] a[2, 4] a[3, 3] a[4, 2] a[4, 3]) X[4, 3] = 0 in Maple notation (-a[1,1]^2*a[1,3]*a[2,2]*a[2,4]*a[4,3]+a[1,1]^2*a[1,3]*a[2,3]*a[2,4]*a[4,2]-a[1 ,1]^2*a[1,3]*a[2,3]*a[3,4]*a[4,3]+a[1,1]^2*a[1,3]*a[2,4]*a[3,3]*a[4,3]+a[1,1]*a [1,2]*a[1,3]*a[2,1]*a[2,4]*a[4,3]-a[1,1]*a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[4,1]-a[1 ,1]*a[1,2]*a[2,2]*a[2,3]*a[2,4]*a[4,3]+a[1,1]*a[1,2]*a[2,3]^2*a[2,4]*a[4,2]-a[1 ,1]*a[1,2]*a[2,3]^2*a[3,4]*a[4,3]+a[1,1]*a[1,2]*a[2,3]*a[2,4]*a[3,3]*a[4,3]-a[1 ,1]*a[1,3]^2*a[2,1]*a[2,4]*a[4,2]+a[1,1]*a[1,3]^2*a[2,1]*a[3,4]*a[4,3]+a[1,1]*a [1,3]^2*a[2,2]*a[2,4]*a[4,1]+a[1,1]*a[1,3]^2*a[2,3]*a[3,4]*a[4,1]-a[1,1]*a[1,3] ^2*a[2,4]*a[3,1]*a[4,3]-a[1,1]*a[1,3]^2*a[2,4]*a[3,3]*a[4,1]+a[1,1]*a[1,3]*a[1, 4]*a[2,1]*a[2,2]*a[4,3]-a[1,1]*a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[4,2]-a[1,1]*a[1,3] *a[1,4]*a[2,1]*a[3,3]*a[4,3]+a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[4,3]+a[1,1]*a [1,3]*a[2,2]^2*a[2,4]*a[4,3]-a[1,1]*a[1,3]*a[2,2]*a[2,3]*a[2,4]*a[4,2]+a[1,1]*a [1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,3]-a[1,1]*a[1,3]*a[2,2]*a[2,4]*a[3,3]*a[4,3]+a[1 ,1]*a[1,3]*a[2,2]*a[2,4]*a[4,3]*a[4,4]-a[1,1]*a[1,3]*a[2,3]*a[2,4]*a[4,2]*a[4,4 ]+a[1,1]*a[1,3]*a[2,3]*a[3,4]*a[4,3]*a[4,4]-a[1,1]*a[1,3]*a[2,4]*a[3,3]*a[4,3]* a[4,4]-a[1,1]*a[1,4]*a[2,2]*a[2,4]*a[4,3]^2+a[1,1]*a[1,4]*a[2,3]*a[2,4]*a[4,2]* a[4,3]-a[1,1]*a[1,4]*a[2,3]*a[3,4]*a[4,3]^2+a[1,1]*a[1,4]*a[2,4]*a[3,3]*a[4,3]^ 2+a[1,2]^2*a[2,1]*a[2,3]*a[2,4]*a[4,3]-a[1,2]^2*a[2,3]^2*a[2,4]*a[4,1]-a[1,2]*a [1,3]*a[1,4]*a[2,1]^2*a[4,3]+a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[4,1]-a[1,2]*a [1,3]*a[2,1]*a[2,2]*a[2,4]*a[4,3]-a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[2,4]*a[4,2]+a[1 ,2]*a[1,3]*a[2,1]*a[2,4]*a[3,3]*a[4,3]-a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[4,3]*a[4,4 ]+2*a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[2,4]*a[4,1]+a[1,2]*a[1,3]*a[2,3]^2*a[3,4]*a[4 ,1]-a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[4,3]-a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,3 ]*a[4,1]+a[1,2]*a[1,3]*a[2,4]^2*a[4,1]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,3 ]*a[4,3]+a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,3]^2*a[3,1 ]*a[4,3]-a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[4,1]*a[4,3]+a[1,2]*a[2,2]*a[2,3]*a[2,4]* a[4,3]*a[4,4]-a[1,2]*a[2,2]*a[2,4]^2*a[4,3]^2-a[1,2]*a[2,3]^2*a[2,4]*a[4,2]*a[4 ,4]+a[1,2]*a[2,3]^2*a[3,4]*a[4,3]*a[4,4]+a[1,2]*a[2,3]*a[2,4]^2*a[4,2]*a[4,3]-a [1,2]*a[2,3]*a[2,4]*a[3,3]*a[4,3]*a[4,4]-a[1,2]*a[2,3]*a[2,4]*a[3,4]*a[4,3]^2+a [1,2]*a[2,4]^2*a[3,3]*a[4,3]^2-a[1,3]^3*a[2,1]*a[3,4]*a[4,1]+a[1,3]^3*a[2,4]*a[ 3,1]*a[4,1]+a[1,3]^2*a[1,4]*a[2,1]^2*a[4,2]-a[1,3]^2*a[1,4]*a[2,1]*a[2,2]*a[4,1 ]+a[1,3]^2*a[1,4]*a[2,1]*a[3,3]*a[4,1]-a[1,3]^2*a[1,4]*a[2,3]*a[3,1]*a[4,1]+a[1 ,3]^2*a[2,1]*a[2,2]*a[2,4]*a[4,2]-a[1,3]^2*a[2,1]*a[2,4]*a[3,3]*a[4,2]+a[1,3]^2 *a[2,1]*a[2,4]*a[4,2]*a[4,4]-a[1,3]^2*a[2,1]*a[3,4]*a[4,3]*a[4,4]-a[1,3]^2*a[2, 2]^2*a[2,4]*a[4,1]-a[1,3]^2*a[2,2]*a[2,3]*a[3,4]*a[4,1]+a[1,3]^2*a[2,2]*a[2,4]* a[3,3]*a[4,1]+a[1,3]^2*a[2,3]*a[2,4]*a[3,1]*a[4,2]-a[1,3]^2*a[2,4]^2*a[4,1]*a[4 ,2]+a[1,3]^2*a[2,4]*a[3,1]*a[4,3]*a[4,4]-a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[4,3]*a[4 ,4]+a[1,3]*a[1,4]*a[2,1]*a[2,3]*a[3,3]*a[4,2]+a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,3 ]*a[4,4]+a[1,3]*a[1,4]*a[2,1]*a[3,4]*a[4,3]^2-a[1,3]*a[1,4]*a[2,3]^2*a[3,1]*a[4 ,2]+a[1,3]*a[1,4]*a[2,3]*a[2,4]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[4,3 ]*a[4,4]-a[1,3]*a[1,4]*a[2,4]*a[3,1]*a[4,3]^2-a[1,3]*a[2,2]^2*a[2,4]*a[4,3]*a[4 ,4]+a[1,3]*a[2,2]*a[2,3]*a[2,4]*a[4,2]*a[4,4]-a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,3 ]*a[4,4]+a[1,3]*a[2,2]*a[2,4]^2*a[4,2]*a[4,3]+a[1,3]*a[2,2]*a[2,4]*a[3,3]*a[4,3 ]*a[4,4]-a[1,3]*a[2,3]*a[2,4]^2*a[4,2]^2+a[1,3]*a[2,3]*a[2,4]*a[3,4]*a[4,2]*a[4 ,3]-a[1,3]*a[2,4]^2*a[3,3]*a[4,2]*a[4,3]+a[1,4]^2*a[2,1]*a[2,2]*a[4,3]^2-a[1,4] ^2*a[2,1]*a[2,3]*a[4,2]*a[4,3]-a[1,4]^2*a[2,1]*a[3,3]*a[4,3]^2+a[1,4]^2*a[2,3]* a[3,1]*a[4,3]^2+a[1,4]*a[2,2]^2*a[2,4]*a[4,3]^2-2*a[1,4]*a[2,2]*a[2,3]*a[2,4]*a [4,2]*a[4,3]+a[1,4]*a[2,2]*a[2,3]*a[3,4]*a[4,3]^2-a[1,4]*a[2,2]*a[2,4]*a[3,3]*a [4,3]^2+a[1,4]*a[2,3]^2*a[2,4]*a[4,2]^2-a[1,4]*a[2,3]^2*a[3,4]*a[4,2]*a[4,3]+a[ 1,4]*a[2,3]*a[2,4]*a[3,3]*a[4,2]*a[4,3])*X[1,2]+(a[1,1]^2*a[1,2]*a[2,2]*a[2,4]* a[4,3]-a[1,1]^2*a[1,2]*a[2,3]*a[2,4]*a[4,2]+a[1,1]^2*a[1,2]*a[2,3]*a[3,4]*a[4,3 ]-a[1,1]^2*a[1,2]*a[2,4]*a[3,3]*a[4,3]-a[1,1]*a[1,2]^2*a[2,1]*a[2,4]*a[4,3]+a[1 ,1]*a[1,2]^2*a[2,3]*a[2,4]*a[4,1]+a[1,1]*a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[4,2]-a[1 ,1]*a[1,2]*a[1,3]*a[2,1]*a[3,4]*a[4,3]-a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,1 ]-a[1,1]*a[1,2]*a[1,3]*a[2,3]*a[3,4]*a[4,1]+a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,1]* a[4,3]+a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,1]-a[1,1]*a[1,2]*a[1,4]*a[2,1]*a[ 2,2]*a[4,3]+a[1,1]*a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[4,2]+a[1,1]*a[1,2]*a[1,4]*a[2, 1]*a[3,3]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[4,3]-a[1,1]*a[1,2]*a[2,2] *a[2,4]*a[3,3]*a[4,3]-a[1,1]*a[1,2]*a[2,2]*a[2,4]*a[4,3]*a[4,4]+a[1,1]*a[1,2]*a [2,3]*a[2,4]*a[3,3]*a[4,2]+a[1,1]*a[1,2]*a[2,3]*a[2,4]*a[4,2]*a[4,4]-a[1,1]*a[1 ,2]*a[2,3]*a[3,3]*a[3,4]*a[4,3]-a[1,1]*a[1,2]*a[2,3]*a[3,4]*a[4,3]*a[4,4]+a[1,1 ]*a[1,2]*a[2,4]*a[3,3]^2*a[4,3]+a[1,1]*a[1,2]*a[2,4]*a[3,3]*a[4,3]*a[4,4]+a[1,1 ]*a[1,3]*a[2,2]*a[2,4]*a[3,2]*a[4,3]-a[1,1]*a[1,3]*a[2,3]*a[2,4]*a[3,2]*a[4,2]+ a[1,1]*a[1,3]*a[2,3]*a[3,2]*a[3,4]*a[4,3]-a[1,1]*a[1,3]*a[2,4]*a[3,2]*a[3,3]*a[ 4,3]+a[1,1]*a[1,4]*a[2,2]*a[2,4]*a[4,2]*a[4,3]-a[1,1]*a[1,4]*a[2,3]*a[2,4]*a[4, 2]^2+a[1,1]*a[1,4]*a[2,3]*a[3,4]*a[4,2]*a[4,3]-a[1,1]*a[1,4]*a[2,4]*a[3,3]*a[4, 2]*a[4,3]+a[1,2]^2*a[1,4]*a[2,1]^2*a[4,3]-a[1,2]^2*a[1,4]*a[2,1]*a[2,3]*a[4,1]+ a[1,2]^2*a[2,1]*a[2,3]*a[3,4]*a[4,3]+a[1,2]^2*a[2,1]*a[2,4]*a[4,3]*a[4,4]-a[1,2 ]^2*a[2,3]^2*a[3,4]*a[4,1]-a[1,2]^2*a[2,3]*a[2,4]*a[4,1]*a[4,4]+a[1,2]*a[1,3]^2 *a[2,1]*a[3,4]*a[4,1]-a[1,2]*a[1,3]^2*a[2,4]*a[3,1]*a[4,1]-a[1,2]*a[1,3]*a[1,4] *a[2,1]^2*a[4,2]+a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[4,1]-a[1,2]*a[1,3]*a[1,4] *a[2,1]*a[3,3]*a[4,1]+a[1,2]*a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[4,1]-a[1,2]*a[1,3]*a [2,1]*a[2,2]*a[3,4]*a[4,3]-a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[4,3]-a[1,2]*a[1 ,3]*a[2,1]*a[2,4]*a[4,2]*a[4,4]+a[1,2]*a[1,3]*a[2,1]*a[3,3]*a[3,4]*a[4,3]+a[1,2 ]*a[1,3]*a[2,1]*a[3,4]*a[4,3]*a[4,4]+a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,1]+ a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,1]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,1]*a[ 4,4]-a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3,1]*a[4,2]+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[3, 2]*a[4,1]-a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[3,3]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[3,1] *a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,1]*a[4,4]+a[1,2]*a[1,3]*a[2,4]*a [3,4]*a[4,1]*a[4,3]+a[1,2]*a[1,4]*a[2,1]*a[2,2]*a[3,3]*a[4,3]-a[1,2]*a[1,4]*a[2 ,1]*a[2,3]*a[3,3]*a[4,2]-a[1,2]*a[1,4]*a[2,1]*a[2,4]*a[4,2]*a[4,3]-a[1,2]*a[1,4 ]*a[2,1]*a[3,3]^2*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[3,4]*a[4,3]^2-a[1,2]*a[1,4]*a[2 ,2]*a[2,3]*a[3,1]*a[4,3]+a[1,2]*a[1,4]*a[2,3]^2*a[3,1]*a[4,2]+a[1,2]*a[1,4]*a[2 ,3]*a[2,4]*a[4,1]*a[4,2]+a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[3,3]*a[4,3]+a[1,2]*a[1,4 ]*a[2,3]*a[3,1]*a[4,3]*a[4,4]+a[1,2]*a[2,2]*a[2,4]*a[3,3]*a[4,3]*a[4,4]-a[1,2]* a[2,2]*a[2,4]*a[3,4]*a[4,3]^2-a[1,2]*a[2,3]*a[2,4]*a[3,3]*a[4,2]*a[4,4]+a[1,2]* a[2,3]*a[2,4]*a[3,4]*a[4,2]*a[4,3]+a[1,2]*a[2,3]*a[3,3]*a[3,4]*a[4,3]*a[4,4]-a[ 1,2]*a[2,3]*a[3,4]^2*a[4,3]^2-a[1,2]*a[2,4]*a[3,3]^2*a[4,3]*a[4,4]+a[1,2]*a[2,4 ]*a[3,3]*a[3,4]*a[4,3]^2+a[1,3]^2*a[2,1]*a[2,4]*a[3,2]*a[4,2]-a[1,3]^2*a[2,1]*a [3,2]*a[3,4]*a[4,3]-a[1,3]^2*a[2,2]*a[2,4]*a[3,2]*a[4,1]+a[1,3]^2*a[2,4]*a[3,1] *a[3,2]*a[4,3]+a[1,3]^2*a[2,4]*a[3,2]*a[4,1]*a[4,4]-a[1,3]^2*a[2,4]*a[3,4]*a[4, 1]*a[4,2]+a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[4,2]^2+a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[3, 3]*a[4,3]-a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[4,3]*a[4,4]-a[1,3]*a[1,4]*a[2,2]*a[2,4] *a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,3]+a[1,3]*a[1,4]*a[2,4]*a [3,1]*a[4,2]*a[4,3]-a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,1]*a[4,3]+a[1,3]*a[1,4]*a[2 ,4]*a[3,3]*a[4,1]*a[4,2]-a[1,3]*a[2,2]*a[2,4]*a[3,2]*a[4,3]*a[4,4]+a[1,3]*a[2,2 ]*a[2,4]*a[3,4]*a[4,2]*a[4,3]+a[1,3]*a[2,3]*a[2,4]*a[3,2]*a[4,2]*a[4,4]-a[1,3]* a[2,3]*a[2,4]*a[3,4]*a[4,2]^2-a[1,3]*a[2,3]*a[3,2]*a[3,4]*a[4,3]*a[4,4]+a[1,3]* a[2,3]*a[3,4]^2*a[4,2]*a[4,3]+a[1,3]*a[2,4]*a[3,2]*a[3,3]*a[4,3]*a[4,4]-a[1,3]* a[2,4]*a[3,3]*a[3,4]*a[4,2]*a[4,3]+a[1,4]^2*a[2,1]*a[3,2]*a[4,3]^2-a[1,4]^2*a[2 ,3]*a[3,1]*a[4,2]*a[4,3]+a[1,4]*a[2,2]*a[2,4]*a[3,2]*a[4,3]^2-a[1,4]*a[2,2]*a[2 ,4]*a[3,3]*a[4,2]*a[4,3]-a[1,4]*a[2,3]*a[2,4]*a[3,2]*a[4,2]*a[4,3]+a[1,4]*a[2,3 ]*a[2,4]*a[3,3]*a[4,2]^2+a[1,4]*a[2,3]*a[3,2]*a[3,4]*a[4,3]^2-a[1,4]*a[2,3]*a[3 ,3]*a[3,4]*a[4,2]*a[4,3]-a[1,4]*a[2,4]*a[3,2]*a[3,3]*a[4,3]^2+a[1,4]*a[2,4]*a[3 ,3]^2*a[4,2]*a[4,3])*X[1,3]+X[2,4]*(a[1,1]*a[1,2]^2*a[2,2]*a[2,3]*a[4,3]-a[1,1] *a[1,2]^2*a[2,3]^2*a[4,2]-a[1,1]*a[1,2]^2*a[2,3]*a[4,3]*a[4,4]+a[1,1]*a[1,2]^2* a[2,4]*a[4,3]^2-a[1,1]*a[1,2]*a[1,3]*a[2,2]^2*a[4,3]+a[1,1]*a[1,2]*a[1,3]*a[2,2 ]*a[2,3]*a[4,2]+a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[3,3]*a[4,3]+a[1,1]*a[1,2]*a[1,3]* a[2,2]*a[4,3]*a[4,4]-a[1,1]*a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[4,2]-a[1,1]*a[1,2]*a[ 1,3]*a[2,4]*a[4,2]*a[4,3]-a[1,1]*a[1,2]*a[1,3]*a[3,3]*a[4,3]*a[4,4]+a[1,1]*a[1, 2]*a[1,3]*a[3,4]*a[4,3]^2-a[1,1]*a[1,3]^2*a[2,2]*a[3,2]*a[4,3]+a[1,1]*a[1,3]^2* a[2,3]*a[3,2]*a[4,2]+a[1,1]*a[1,3]^2*a[3,2]*a[4,3]*a[4,4]-a[1,1]*a[1,3]^2*a[3,4 ]*a[4,2]*a[4,3]-a[1,1]*a[1,3]*a[1,4]*a[2,2]*a[4,2]*a[4,3]+a[1,1]*a[1,3]*a[1,4]* a[2,3]*a[4,2]^2-a[1,1]*a[1,3]*a[1,4]*a[3,2]*a[4,3]^2+a[1,1]*a[1,3]*a[1,4]*a[3,3 ]*a[4,2]*a[4,3]-a[1,2]^3*a[2,1]*a[2,3]*a[4,3]+a[1,2]^3*a[2,3]^2*a[4,1]+a[1,2]^2 *a[1,3]*a[2,1]*a[2,2]*a[4,3]+a[1,2]^2*a[1,3]*a[2,1]*a[2,3]*a[4,2]-a[1,2]^2*a[1, 3]*a[2,1]*a[3,3]*a[4,3]-2*a[1,2]^2*a[1,3]*a[2,2]*a[2,3]*a[4,1]+a[1,2]^2*a[1,3]* a[2,3]*a[3,3]*a[4,1]+a[1,2]^2*a[1,3]*a[2,3]*a[4,1]*a[4,4]-a[1,2]^2*a[1,3]*a[2,4 ]*a[4,1]*a[4,3]-a[1,2]^2*a[1,4]*a[2,1]*a[4,3]^2+a[1,2]^2*a[1,4]*a[2,3]*a[4,1]*a [4,3]-a[1,2]^2*a[2,2]*a[2,3]*a[4,3]*a[4,4]+a[1,2]^2*a[2,2]*a[2,4]*a[4,3]^2+a[1, 2]^2*a[2,3]^2*a[4,2]*a[4,4]-a[1,2]^2*a[2,3]*a[2,4]*a[4,2]*a[4,3]+a[1,2]^2*a[2,3 ]*a[3,4]*a[4,3]^2+a[1,2]^2*a[2,3]*a[4,3]*a[4,4]^2-a[1,2]^2*a[2,4]*a[3,3]*a[4,3] ^2-a[1,2]^2*a[2,4]*a[4,3]^2*a[4,4]-a[1,2]*a[1,3]^2*a[2,1]*a[2,2]*a[4,2]+a[1,2]* a[1,3]^2*a[2,1]*a[3,2]*a[4,3]+a[1,2]*a[1,3]^2*a[2,1]*a[3,3]*a[4,2]+a[1,2]*a[1,3 ]^2*a[2,2]^2*a[4,1]-a[1,2]*a[1,3]^2*a[2,2]*a[3,3]*a[4,1]-a[1,2]*a[1,3]^2*a[2,2] *a[4,1]*a[4,4]-a[1,2]*a[1,3]^2*a[2,3]*a[3,2]*a[4,1]+a[1,2]*a[1,3]^2*a[2,4]*a[4, 1]*a[4,2]+a[1,2]*a[1,3]^2*a[3,3]*a[4,1]*a[4,4]-a[1,2]*a[1,3]^2*a[3,4]*a[4,1]*a[ 4,3]+2*a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[4,2]*a[4,3]-2*a[1,2]*a[1,3]*a[1,4]*a[2,3]* a[4,1]*a[4,2]+a[1,2]*a[1,3]*a[2,2]^2*a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[2,2]*a[2,3]* a[4,2]*a[4,4]-a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,2]*a[4,3]-a[1,2]*a[1,3]*a[2,2]*a[ 3,3]*a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[2,2]*a[4,3]*a[4,4]^2+a[1,2]*a[1,3]*a[2,3]*a[ 2,4]*a[4,2]^2+a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[4,2]*a[4,4]-2*a[1,2]*a[1,3]*a[2,3]* a[3,4]*a[4,2]*a[4,3]+a[1,2]*a[1,3]*a[2,4]*a[3,2]*a[4,3]^2+a[1,2]*a[1,3]*a[2,4]* a[3,3]*a[4,2]*a[4,3]+a[1,2]*a[1,3]*a[2,4]*a[4,2]*a[4,3]*a[4,4]+a[1,2]*a[1,3]*a[ 3,3]*a[4,3]*a[4,4]^2-a[1,2]*a[1,3]*a[3,4]*a[4,3]^2*a[4,4]-a[1,2]*a[1,4]*a[2,2]^ 2*a[4,3]^2+2*a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[3 ,3]*a[4,3]^2+a[1,2]*a[1,4]*a[2,2]*a[4,3]^2*a[4,4]-a[1,2]*a[1,4]*a[2,3]^2*a[4,2] ^2-a[1,2]*a[1,4]*a[2,3]*a[3,2]*a[4,3]^2-2*a[1,2]*a[1,4]*a[2,3]*a[4,2]*a[4,3]*a[ 4,4]+a[1,2]*a[1,4]*a[2,4]*a[4,2]*a[4,3]^2-a[1,2]*a[1,4]*a[3,3]*a[4,3]^2*a[4,4]+ a[1,2]*a[1,4]*a[3,4]*a[4,3]^3-a[1,3]^3*a[2,1]*a[3,2]*a[4,2]+a[1,3]^3*a[2,2]*a[3 ,2]*a[4,1]-a[1,3]^3*a[3,2]*a[4,1]*a[4,4]+a[1,3]^3*a[3,4]*a[4,1]*a[4,2]-a[1,3]^2 *a[1,4]*a[2,1]*a[4,2]^2+a[1,3]^2*a[1,4]*a[2,2]*a[4,1]*a[4,2]+a[1,3]^2*a[1,4]*a[ 3,2]*a[4,1]*a[4,3]-a[1,3]^2*a[1,4]*a[3,3]*a[4,1]*a[4,2]+a[1,3]^2*a[2,2]*a[3,2]* a[4,3]*a[4,4]-a[1,3]^2*a[2,3]*a[3,2]*a[4,2]*a[4,4]+a[1,3]^2*a[2,3]*a[3,4]*a[4,2 ]^2-a[1,3]^2*a[2,4]*a[3,2]*a[4,2]*a[4,3]-a[1,3]^2*a[3,2]*a[4,3]*a[4,4]^2+a[1,3] ^2*a[3,4]*a[4,2]*a[4,3]*a[4,4]-a[1,3]*a[1,4]*a[2,2]*a[3,2]*a[4,3]^2+a[1,3]*a[1, 4]*a[2,2]*a[4,2]*a[4,3]*a[4,4]+2*a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,2]*a[4,3]-a[1, 3]*a[1,4]*a[2,3]*a[3,3]*a[4,2]^2-a[1,3]*a[1,4]*a[2,4]*a[4,2]^2*a[4,3]+2*a[1,3]* a[1,4]*a[3,2]*a[4,3]^2*a[4,4]-a[1,3]*a[1,4]*a[3,3]*a[4,2]*a[4,3]*a[4,4]-a[1,3]* a[1,4]*a[3,4]*a[4,2]*a[4,3]^2-a[1,4]^2*a[2,2]*a[4,2]*a[4,3]^2+a[1,4]^2*a[2,3]*a [4,2]^2*a[4,3]-a[1,4]^2*a[3,2]*a[4,3]^3+a[1,4]^2*a[3,3]*a[4,2]*a[4,3]^2)+(a[1,1 ]*a[1,2]^2*a[2,3]^2*a[3,4]-a[1,1]*a[1,2]^2*a[2,3]*a[2,4]*a[3,3]+a[1,1]*a[1,2]^2 *a[2,3]*a[2,4]*a[4,4]-a[1,1]*a[1,2]^2*a[2,4]^2*a[4,3]-a[1,1]*a[1,2]*a[1,3]*a[2, 2]*a[2,3]*a[3,4]+a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,3]-a[1,1]*a[1,2]*a[1,3] *a[2,2]*a[2,4]*a[4,4]+a[1,1]*a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[3,4]+a[1,1]*a[1,2]*a [1,3]*a[2,4]^2*a[4,2]-a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,3]^2+a[1,1]*a[1,2]*a[1,3] *a[2,4]*a[3,3]*a[4,4]-a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,4]*a[4,3]+a[1,1]*a[1,2]*a [1,4]*a[2,2]*a[2,4]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[4,2]+a[1,1]*a[1 ,2]*a[1,4]*a[2,3]*a[3,4]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,4]*a[3,3]*a[4,3]-a[1,1 ]*a[1,3]^2*a[2,3]*a[3,2]*a[3,4]+a[1,1]*a[1,3]^2*a[2,4]*a[3,2]*a[3,3]-a[1,1]*a[1 ,3]^2*a[2,4]*a[3,2]*a[4,4]+a[1,1]*a[1,3]^2*a[2,4]*a[3,4]*a[4,2]-a[1,1]*a[1,3]*a [1,4]*a[2,3]*a[3,4]*a[4,2]+a[1,1]*a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4,3]-a[1,2]^2*a [1,3]*a[2,1]*a[2,3]*a[3,4]+a[1,2]^2*a[1,3]*a[2,3]*a[2,4]*a[3,1]+a[1,2]^2*a[1,4] *a[2,1]*a[2,3]*a[3,3]-a[1,2]^2*a[1,4]*a[2,1]*a[2,3]*a[4,4]+a[1,2]^2*a[1,4]*a[2, 1]*a[2,4]*a[4,3]-a[1,2]^2*a[1,4]*a[2,3]^2*a[3,1]-a[1,2]^2*a[2,3]^2*a[3,4]*a[4,4 ]+a[1,2]^2*a[2,3]*a[2,4]*a[3,3]*a[4,4]-a[1,2]^2*a[2,3]*a[2,4]*a[4,4]^2+a[1,2]^2 *a[2,4]^2*a[4,3]*a[4,4]+a[1,2]*a[1,3]^2*a[2,1]*a[2,2]*a[3,4]-a[1,2]*a[1,3]^2*a[ 2,1]*a[3,3]*a[3,4]-a[1,2]*a[1,3]^2*a[2,2]*a[2,4]*a[3,1]+a[1,2]*a[1,3]^2*a[2,4]* a[3,1]*a[3,3]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[3,3]+a[1,2]*a[1,3]*a[1,4]*a[ 2,1]*a[2,2]*a[4,4]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,4]*a[4,2]+a[1,2]*a[1,3]*a[1, 4]*a[2,1]*a[3,3]^2-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,4]+a[1,2]*a[1,3]*a[1, 4]*a[2,2]*a[2,3]*a[3,1]-a[1,2]*a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,3]+a[1,2]*a[1,3] *a[1,4]*a[2,4]*a[3,1]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,4]*a[4,4]-a[1,2]*a [1,3]*a[2,2]*a[2,4]*a[3,3]*a[4,4]+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,4]*a[4,3]+a[1 ,2]*a[1,3]*a[2,2]*a[2,4]*a[4,4]^2-a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[3,4]*a[4,4]+a[1 ,2]*a[1,3]*a[2,3]*a[3,4]^2*a[4,3]-a[1,2]*a[1,3]*a[2,4]^2*a[3,2]*a[4,3]-a[1,2]*a [1,3]*a[2,4]^2*a[4,2]*a[4,4]+a[1,2]*a[1,3]*a[2,4]*a[3,3]^2*a[4,4]-a[1,2]*a[1,3] *a[2,4]*a[3,3]*a[3,4]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,4]^2+a[1,2]*a[1,3] *a[2,4]*a[3,4]*a[4,3]*a[4,4]-a[1,2]*a[1,4]^2*a[2,1]*a[2,2]*a[4,3]+a[1,2]*a[1,4] ^2*a[2,1]*a[2,3]*a[4,2]+a[1,2]*a[1,4]^2*a[2,1]*a[3,3]*a[4,3]-a[1,2]*a[1,4]^2*a[ 2,3]*a[3,1]*a[4,3]-a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,4]*a[4,3]-a[1,2]*a[1,4]*a[2, 2]*a[2,4]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,3]^2*a[3,4]*a[4,2]+a[1,2]*a[1,4]*a[2, 3]*a[2,4]*a[3,2]*a[4,3]-a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[3,3]*a[4,2]+2*a[1,2]*a[1, 4]*a[2,3]*a[2,4]*a[4,2]*a[4,4]-a[1,2]*a[1,4]*a[2,4]^2*a[4,2]*a[4,3]+a[1,2]*a[1, 4]*a[2,4]*a[3,3]*a[4,3]*a[4,4]-a[1,2]*a[1,4]*a[2,4]*a[3,4]*a[4,3]^2+a[1,3]^3*a[ 2,1]*a[3,2]*a[3,4]-a[1,3]^3*a[2,4]*a[3,1]*a[3,2]-a[1,3]^2*a[1,4]*a[2,1]*a[3,2]* a[3,3]+a[1,3]^2*a[1,4]*a[2,1]*a[3,2]*a[4,4]+a[1,3]^2*a[1,4]*a[2,3]*a[3,1]*a[3,2 ]-a[1,3]^2*a[1,4]*a[2,4]*a[3,1]*a[4,2]-a[1,3]^2*a[2,2]*a[2,4]*a[3,4]*a[4,2]+a[1 ,3]^2*a[2,3]*a[3,2]*a[3,4]*a[4,4]-a[1,3]^2*a[2,3]*a[3,4]^2*a[4,2]+a[1,3]^2*a[2, 4]^2*a[3,2]*a[4,2]-a[1,3]^2*a[2,4]*a[3,2]*a[3,3]*a[4,4]+a[1,3]^2*a[2,4]*a[3,2]* a[4,4]^2+a[1,3]^2*a[2,4]*a[3,3]*a[3,4]*a[4,2]-a[1,3]^2*a[2,4]*a[3,4]*a[4,2]*a[4 ,4]-a[1,3]*a[1,4]^2*a[2,1]*a[3,2]*a[4,3]+a[1,3]*a[1,4]^2*a[2,3]*a[3,1]*a[4,2]+a [1,3]*a[1,4]*a[2,2]*a[2,4]*a[3,3]*a[4,2]-a[1,3]*a[1,4]*a[2,2]*a[2,4]*a[4,2]*a[4 ,4]-a[1,3]*a[1,4]*a[2,3]*a[2,4]*a[3,2]*a[4,2]-a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[3,4 ]*a[4,3]+a[1,3]*a[1,4]*a[2,3]*a[3,3]*a[3,4]*a[4,2]+a[1,3]*a[1,4]*a[2,4]^2*a[4,2 ]^2+a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[3,3]*a[4,3]-2*a[1,3]*a[1,4]*a[2,4]*a[3,2]*a[4 ,3]*a[4,4]-a[1,3]*a[1,4]*a[2,4]*a[3,3]^2*a[4,2]+a[1,3]*a[1,4]*a[2,4]*a[3,3]*a[4 ,2]*a[4,4]+a[1,3]*a[1,4]*a[2,4]*a[3,4]*a[4,2]*a[4,3]+a[1,4]^2*a[2,2]*a[2,4]*a[4 ,2]*a[4,3]-a[1,4]^2*a[2,3]*a[2,4]*a[4,2]^2+a[1,4]^2*a[2,4]*a[3,2]*a[4,3]^2-a[1, 4]^2*a[2,4]*a[3,3]*a[4,2]*a[4,3])*X[4,3] = 0 ------------------------------------ Theorem number, 21, : let, {X[1, 2], X[1, 3], X[4, 2], X[4, 3]}, be the entri\ es of an ARBITRARY power of the general matrix M, we always have the lin\ ear relation 2 2 2 (-a[1, 1] a[1, 3] a[2, 2] a[4, 2] a[4, 3] + a[1, 1] a[1, 3] a[2, 3] a[4, 2] 2 2 - a[1, 1] a[1, 3] a[3, 2] a[4, 3] 2 + a[1, 1] a[1, 3] a[3, 3] a[4, 2] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[4, 2] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[4, 1] a[4, 3] - 2 a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[4, 1] a[4, 2] 2 + a[1, 1] a[1, 2] a[1, 3] a[3, 1] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[3, 3] a[4, 1] a[4, 3] - a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[4, 2] a[4, 3] 2 2 + a[1, 1] a[1, 2] a[2, 3] a[4, 2] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 2] a[4, 3] + a[1, 1] a[1, 2] a[2, 3] a[3, 3] a[4, 2] a[4, 3] 2 2 - a[1, 1] a[1, 3] a[2, 1] a[4, 2] 2 + a[1, 1] a[1, 3] a[2, 2] a[4, 1] a[4, 2] 2 - a[1, 1] a[1, 3] a[3, 1] a[4, 2] a[4, 3] 2 + 2 a[1, 1] a[1, 3] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 1] a[1, 3] a[3, 3] a[4, 1] a[4, 2] 2 + a[1, 1] a[1, 3] a[2, 2] a[4, 2] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[4, 2] 2 + a[1, 1] a[1, 3] a[2, 2] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[2, 2] a[3, 3] a[4, 2] a[4, 3] + a[1, 1] a[1, 3] a[2, 2] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 1] a[1, 3] a[2, 3] a[4, 2] a[4, 4] 2 + a[1, 1] a[1, 3] a[3, 2] a[4, 3] a[4, 4] - a[1, 1] a[1, 3] a[3, 3] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 1] a[1, 4] a[2, 2] a[4, 2] a[4, 3] 2 + a[1, 1] a[1, 4] a[2, 3] a[4, 2] a[4, 3] 3 - a[1, 1] a[1, 4] a[3, 2] a[4, 3] 2 + a[1, 1] a[1, 4] a[3, 3] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[4, 1] a[4, 3] 2 2 + a[1, 2] a[1, 3] a[2, 3] a[4, 1] 2 + a[1, 2] a[2, 1] a[2, 3] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 2] a[2, 3] a[4, 1] a[4, 2] + a[1, 2] a[2, 3] a[3, 1] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 3] a[4, 1] a[4, 3] 2 + a[1, 2] a[2, 3] a[4, 1] a[4, 3] a[4, 4] 2 2 - a[1, 2] a[2, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[4, 1] a[4, 2] 2 2 - a[1, 2] a[1, 3] a[2, 2] a[4, 1] 2 - a[1, 2] a[1, 3] a[3, 1] a[4, 1] a[4, 3] 2 2 + a[1, 2] a[1, 3] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[4, 2] a[4, 3] a[4, 4] + 2 a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[4, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 2] a[4, 1] a[4, 3] a[4, 4] - 2 a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[4, 2] a[4, 3] + 2 a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[4, 1] a[4, 3] + 2 a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 3] a[3, 3] a[4, 1] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 1] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 2] a[4, 1] a[4, 3] - 2 a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 2] a[4, 3] 3 + a[1, 2] a[1, 4] a[3, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[3, 3] a[4, 1] a[4, 3] + a[1, 2] a[2, 2] a[2, 3] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 2] a[2, 4] a[4, 2] a[4, 3] 2 2 - a[1, 2] a[2, 3] a[4, 2] a[4, 4] 2 + a[1, 2] a[2, 3] a[2, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[2, 3] a[3, 2] a[4, 3] a[4, 4] - a[1, 2] a[2, 3] a[3, 3] a[4, 2] a[4, 3] a[4, 4] 3 - a[1, 2] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 2] a[2, 4] a[3, 3] a[4, 2] a[4, 3] 3 3 2 + a[1, 3] a[3, 1] a[4, 1] a[4, 2] - a[1, 3] a[3, 2] a[4, 1] 2 2 + a[1, 3] a[2, 1] a[2, 2] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 2] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 3] a[2, 1] a[3, 3] a[4, 2] + a[1, 3] a[2, 1] a[4, 2] a[4, 4] 2 2 - a[1, 3] a[2, 2] a[4, 1] a[4, 2] 2 - a[1, 3] a[2, 2] a[3, 2] a[4, 1] a[4, 3] 2 + a[1, 3] a[2, 2] a[3, 3] a[4, 1] a[4, 2] 2 2 + a[1, 3] a[2, 3] a[3, 1] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 2] a[4, 1] a[4, 2] 2 2 - a[1, 3] a[2, 4] a[4, 1] a[4, 2] 2 + a[1, 3] a[3, 1] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[3, 2] a[4, 1] a[4, 3] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 3] a[4, 1] a[4, 2] 2 - a[1, 3] a[1, 4] a[3, 1] a[4, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 3] a[2, 2] a[4, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 2] a[2, 3] a[4, 2] a[4, 4] 2 + a[1, 3] a[2, 2] a[2, 4] a[4, 2] a[4, 3] 2 - a[1, 3] a[2, 2] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[2, 2] a[3, 3] a[4, 2] a[4, 3] a[4, 4] 3 - a[1, 3] a[2, 3] a[2, 4] a[4, 2] 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 3] a[2, 4] a[3, 3] a[4, 2] a[4, 3] 2 2 + a[1, 4] a[2, 2] a[4, 2] a[4, 3] 2 - 2 a[1, 4] a[2, 2] a[2, 3] a[4, 2] a[4, 3] 3 + a[1, 4] a[2, 2] a[3, 2] a[4, 3] 2 2 3 - a[1, 4] a[2, 2] a[3, 3] a[4, 2] a[4, 3] + a[1, 4] a[2, 3] a[4, 2] 2 - a[1, 4] a[2, 3] a[3, 2] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 3] a[4, 2] a[4, 3]) X[1, 2] + ( 2 a[1, 1] a[1, 2] a[2, 2] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 1] a[1, 2] a[2, 3] a[4, 2] + a[1, 1] a[1, 2] a[3, 2] a[4, 3] 2 - a[1, 1] a[1, 2] a[3, 3] a[4, 2] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 1] a[4, 2] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 2] a[4, 1] a[4, 3] 2 + 2 a[1, 1] a[1, 2] a[2, 3] a[4, 1] a[4, 2] 2 2 - a[1, 1] a[1, 2] a[3, 1] a[4, 3] 2 + a[1, 1] a[1, 2] a[3, 3] a[4, 1] a[4, 3] 2 + a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[4, 2] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[4, 1] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[3, 1] a[4, 2] a[4, 3] - 2 a[1, 1] a[1, 2] a[1, 3] a[3, 2] a[4, 1] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[3, 3] a[4, 1] a[4, 2] - a[1, 1] a[1, 2] a[2, 2] a[3, 3] a[4, 2] a[4, 3] - a[1, 1] a[1, 2] a[2, 2] a[4, 2] a[4, 3] a[4, 4] 2 + a[1, 1] a[1, 2] a[2, 3] a[3, 3] a[4, 2] 2 + a[1, 1] a[1, 2] a[2, 3] a[4, 2] a[4, 4] 2 - a[1, 1] a[1, 2] a[3, 2] a[3, 3] a[4, 3] 2 - a[1, 1] a[1, 2] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 1] a[1, 2] a[3, 3] a[4, 2] a[4, 3] + a[1, 1] a[1, 2] a[3, 3] a[4, 2] a[4, 3] a[4, 4] + a[1, 1] a[1, 3] a[2, 2] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[4, 2] 2 2 + a[1, 1] a[1, 3] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[3, 2] a[3, 3] a[4, 2] a[4, 3] 2 + a[1, 1] a[1, 4] a[2, 2] a[4, 2] a[4, 3] 3 - a[1, 1] a[1, 4] a[2, 3] a[4, 2] 2 + a[1, 1] a[1, 4] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 1] a[1, 4] a[3, 3] a[4, 2] a[4, 3] 3 3 2 + a[1, 2] a[2, 1] a[4, 1] a[4, 3] - a[1, 2] a[2, 3] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 1] a[4, 1] a[4, 2] 2 2 + a[1, 2] a[1, 3] a[2, 2] a[4, 1] 2 + a[1, 2] a[1, 3] a[3, 1] a[4, 1] a[4, 3] 2 2 2 2 - a[1, 2] a[1, 3] a[3, 3] a[4, 1] + a[1, 2] a[2, 1] a[3, 2] a[4, 3] 2 + a[1, 2] a[2, 1] a[4, 2] a[4, 3] a[4, 4] 2 2 - a[1, 2] a[2, 2] a[3, 1] a[4, 3] 2 + a[1, 2] a[2, 2] a[3, 3] a[4, 1] a[4, 3] 2 + a[1, 2] a[2, 3] a[3, 1] a[4, 2] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 3] a[4, 1] a[4, 2] 2 - a[1, 2] a[2, 3] a[4, 1] a[4, 2] a[4, 4] 2 2 2 2 + a[1, 2] a[3, 1] a[3, 3] a[4, 3] + a[1, 2] a[3, 1] a[4, 3] a[4, 4] 2 2 2 2 - a[1, 2] a[3, 3] a[4, 1] a[4, 3] - a[1, 2] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[3, 1] a[4, 1] a[4, 2] 2 2 + a[1, 2] a[1, 3] a[3, 2] a[4, 1] - 2 a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[4, 2] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[3, 1] a[4, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[4, 1] a[4, 2] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[4, 2] + 2 a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[4, 1] a[4, 2] 2 - a[1, 2] a[1, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[3, 1] a[3, 3] a[4, 2] a[4, 3] - a[1, 2] a[1, 3] a[3, 1] a[4, 2] a[4, 3] a[4, 4] + 2 a[1, 2] a[1, 3] a[3, 2] a[3, 3] a[4, 1] a[4, 3] - a[1, 2] a[1, 3] a[3, 3] a[4, 1] a[4, 2] a[4, 4] + 2 a[1, 2] a[1, 3] a[3, 4] a[4, 1] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 1] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 2] 2 - a[1, 2] a[1, 4] a[3, 1] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[3, 2] a[4, 1] a[4, 3] + a[1, 2] a[2, 2] a[3, 3] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 2] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 3] a[4, 2] a[4, 4] 2 + a[1, 2] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[3, 2] a[3, 3] a[4, 3] a[4, 4] 3 - a[1, 2] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 2] a[3, 3] a[4, 2] a[4, 3] a[4, 4] 2 + a[1, 2] a[3, 3] a[3, 4] a[4, 2] a[4, 3] 2 2 + a[1, 3] a[2, 1] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 2] a[3, 2] a[4, 1] a[4, 2] 2 + a[1, 3] a[3, 1] a[3, 2] a[4, 2] a[4, 3] 2 2 - a[1, 3] a[3, 2] a[4, 1] a[4, 3] 2 + a[1, 3] a[3, 2] a[4, 1] a[4, 2] a[4, 4] 2 2 3 - a[1, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 2] a[4, 1] a[4, 2] 2 + a[1, 3] a[1, 4] a[3, 1] a[4, 2] a[4, 3] - 2 a[1, 3] a[1, 4] a[3, 2] a[4, 1] a[4, 2] a[4, 3] 2 + a[1, 3] a[1, 4] a[3, 3] a[4, 1] a[4, 2] - a[1, 3] a[2, 2] a[3, 2] a[4, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 2] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 3] a[2, 3] a[3, 2] a[4, 2] a[4, 4] 3 2 2 - a[1, 3] a[2, 3] a[3, 4] a[4, 2] - a[1, 3] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[3, 2] a[3, 3] a[4, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[3, 2] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 3] a[3, 3] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 2] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 2] a[3, 3] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 3] a[3, 2] a[4, 2] a[4, 3] 3 2 3 + a[1, 4] a[2, 3] a[3, 3] a[4, 2] + a[1, 4] a[3, 2] a[4, 3] 2 - 2 a[1, 4] a[3, 2] a[3, 3] a[4, 2] a[4, 3] 2 2 + a[1, 4] a[3, 3] a[4, 2] a[4, 3]) X[1, 3] + ( 2 a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[4, 3] 2 2 - a[1, 1] a[1, 2] a[2, 3] a[4, 2] 2 - a[1, 1] a[1, 2] a[2, 3] a[4, 3] a[4, 4] 2 2 + a[1, 1] a[1, 2] a[2, 4] a[4, 3] 2 - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[4, 3] a[4, 4] - a[1, 1] a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[4, 2] - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 1] a[1, 2] a[1, 3] a[3, 4] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 2] a[3, 2] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[4, 2] 2 + a[1, 1] a[1, 3] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 1] a[1, 3] a[3, 4] a[4, 2] a[4, 3] - a[1, 1] a[1, 3] a[1, 4] a[2, 2] a[4, 2] a[4, 3] 2 + a[1, 1] a[1, 3] a[1, 4] a[2, 3] a[4, 2] 2 - a[1, 1] a[1, 3] a[1, 4] a[3, 2] a[4, 3] + a[1, 1] a[1, 3] a[1, 4] a[3, 3] a[4, 2] a[4, 3] 3 3 2 - a[1, 2] a[2, 1] a[2, 3] a[4, 3] + a[1, 2] a[2, 3] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 3] 2 - 2 a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 3] a[4, 1] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 3] 2 2 - a[1, 2] a[1, 4] a[2, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 2] a[2, 3] a[4, 3] a[4, 4] 2 2 2 2 + a[1, 2] a[2, 2] a[2, 4] a[4, 3] + a[1, 2] a[2, 3] a[4, 2] a[4, 4] 2 - a[1, 2] a[2, 3] a[2, 4] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 2] a[2, 3] a[3, 4] a[4, 3] + a[1, 2] a[2, 3] a[4, 3] a[4, 4] 2 2 2 2 - a[1, 2] a[2, 4] a[3, 3] a[4, 3] - a[1, 2] a[2, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 2] 2 2 + a[1, 2] a[1, 3] a[2, 2] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 2] a[4, 1] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 2] 2 + a[1, 2] a[1, 3] a[3, 3] a[4, 1] a[4, 4] 2 - a[1, 2] a[1, 3] a[3, 4] a[4, 1] a[4, 3] + 2 a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[4, 2] a[4, 3] - 2 a[1, 2] a[1, 3] a[1, 4] a[2, 3] a[4, 1] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 2] a[4, 3] a[4, 4] - a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[4, 2] a[4, 4] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 2] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 3] a[3, 3] a[4, 2] a[4, 4] - 2 a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[3, 4] a[4, 3] a[4, 4] 2 2 - a[1, 2] a[1, 4] a[2, 2] a[4, 3] + 2 a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 2] a[3, 3] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 2] a[4, 3] a[4, 4] 2 2 - a[1, 2] a[1, 4] a[2, 3] a[4, 2] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 3] - 2 a[1, 2] a[1, 4] a[2, 3] a[4, 2] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[3, 3] a[4, 3] a[4, 4] 3 3 + a[1, 2] a[1, 4] a[3, 4] a[4, 3] - a[1, 3] a[2, 1] a[3, 2] a[4, 2] 3 3 + a[1, 3] a[2, 2] a[3, 2] a[4, 1] - a[1, 3] a[3, 2] a[4, 1] a[4, 4] 3 2 2 + a[1, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 2] a[4, 1] a[4, 2] 2 + a[1, 3] a[1, 4] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 3] a[1, 4] a[3, 3] a[4, 1] a[4, 2] 2 + a[1, 3] a[2, 2] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[2, 3] a[3, 2] a[4, 2] a[4, 4] 2 2 + a[1, 3] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 2] a[4, 3] 2 2 - a[1, 3] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[3, 4] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 2] a[3, 2] a[4, 3] + a[1, 3] a[1, 4] a[2, 2] a[4, 2] a[4, 3] a[4, 4] + 2 a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 3] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 4] a[4, 2] a[4, 3] 2 + 2 a[1, 3] a[1, 4] a[3, 2] a[4, 3] a[4, 4] - a[1, 3] a[1, 4] a[3, 3] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[1, 4] a[3, 4] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 4] a[2, 2] a[4, 2] a[4, 3] + a[1, 4] a[2, 3] a[4, 2] a[4, 3] 2 3 2 2 - a[1, 4] a[3, 2] a[4, 3] + a[1, 4] a[3, 3] a[4, 2] a[4, 3] ) X[4, 2] 2 + X[4, 3] (a[1, 1] a[1, 2] a[2, 3] a[3, 2] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 3] a[4, 2] 2 + a[1, 1] a[1, 2] a[2, 3] a[4, 2] a[4, 4] 2 - a[1, 1] a[1, 2] a[2, 4] a[4, 2] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[3, 2] a[4, 3] + a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 2] - a[1, 1] a[1, 2] a[1, 3] a[2, 2] a[4, 2] a[4, 4] 2 + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[3, 2] a[3, 3] a[4, 3] 2 - a[1, 1] a[1, 2] a[1, 3] a[3, 3] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[3, 3] a[4, 2] a[4, 4] - a[1, 1] a[1, 2] a[1, 3] a[3, 4] a[4, 2] a[4, 3] + a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[4, 2] a[4, 3] 2 - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[4, 2] 2 + a[1, 1] a[1, 2] a[1, 4] a[3, 2] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[3, 3] a[4, 2] a[4, 3] 2 2 - a[1, 1] a[1, 3] a[3, 2] a[4, 3] 2 + a[1, 1] a[1, 3] a[3, 2] a[3, 3] a[4, 2] 2 - a[1, 1] a[1, 3] a[3, 2] a[4, 2] a[4, 4] 2 2 3 + a[1, 1] a[1, 3] a[3, 4] a[4, 2] - a[1, 2] a[2, 3] a[3, 1] a[4, 3] 3 3 + a[1, 2] a[2, 3] a[3, 3] a[4, 1] - a[1, 2] a[2, 3] a[4, 1] a[4, 4] 3 + a[1, 2] a[2, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 2] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 2] 2 - a[1, 2] a[1, 3] a[3, 1] a[3, 3] a[4, 3] 2 2 + a[1, 2] a[1, 3] a[3, 3] a[4, 1] 2 - a[1, 2] a[1, 3] a[3, 3] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 2] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 2] 2 2 - a[1, 2] a[1, 4] a[3, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[3, 3] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 3] a[3, 3] a[4, 2] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 2 2 2 - a[1, 2] a[2, 3] a[4, 2] a[4, 4] + a[1, 2] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 2] a[2, 4] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 2] a[3, 1] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 2] a[4, 1] 2 + a[1, 2] a[1, 3] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[3, 1] a[3, 3] a[4, 2] 2 - 2 a[1, 2] a[1, 3] a[3, 2] a[3, 3] a[4, 1] 2 + a[1, 2] a[1, 3] a[3, 2] a[4, 1] a[4, 4] 2 - a[1, 2] a[1, 3] a[3, 4] a[4, 1] a[4, 2] + 2 a[1, 2] a[1, 3] a[1, 4] a[3, 1] a[4, 2] a[4, 3] - 2 a[1, 2] a[1, 3] a[1, 4] a[3, 2] a[4, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 2] a[3, 2] a[4, 3] a[4, 4] - a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 2] a[4, 2] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 2] - 2 a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 2] a[4, 4] - a[1, 2] a[1, 3] a[3, 2] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 3] a[3, 2] a[3, 4] a[4, 3] 2 + a[1, 2] a[1, 3] a[3, 3] a[4, 2] a[4, 4] - a[1, 2] a[1, 3] a[3, 3] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[3, 3] a[4, 2] a[4, 4] + a[1, 2] a[1, 3] a[3, 4] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 2] a[3, 2] a[4, 3] - a[1, 2] a[1, 4] a[2, 2] a[4, 2] a[4, 3] a[4, 4] + 2 a[1, 2] a[1, 4] a[2, 3] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[4, 2] 2 + 2 a[1, 2] a[1, 4] a[2, 3] a[4, 2] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 4] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[3, 3] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[3, 4] a[4, 2] a[4, 3] 3 3 2 - a[1, 3] a[3, 1] a[3, 2] a[4, 2] + a[1, 3] a[3, 2] a[4, 1] 2 2 - a[1, 3] a[1, 4] a[3, 1] a[4, 2] 2 + a[1, 3] a[1, 4] a[3, 2] a[4, 1] a[4, 2] 2 2 2 2 - a[1, 3] a[2, 2] a[3, 4] a[4, 2] + a[1, 3] a[2, 4] a[3, 2] a[4, 2] 2 2 + a[1, 3] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[3, 2] a[3, 3] a[4, 2] a[4, 4] 2 - a[1, 3] a[3, 2] a[3, 4] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 3] a[3, 2] a[4, 2] a[4, 4] + a[1, 3] a[3, 3] a[3, 4] a[4, 2] 2 2 - a[1, 3] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[2, 2] a[3, 3] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 2] a[4, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 2] 3 2 2 + a[1, 3] a[1, 4] a[2, 4] a[4, 2] - a[1, 3] a[1, 4] a[3, 2] a[4, 3] + 2 a[1, 3] a[1, 4] a[3, 2] a[3, 3] a[4, 2] a[4, 3] - 2 a[1, 3] a[1, 4] a[3, 2] a[4, 2] a[4, 3] a[4, 4] 2 2 - a[1, 3] a[1, 4] a[3, 3] a[4, 2] 2 + a[1, 3] a[1, 4] a[3, 3] a[4, 2] a[4, 4] 2 + a[1, 3] a[1, 4] a[3, 4] a[4, 2] a[4, 3] 2 2 2 3 + a[1, 4] a[2, 2] a[4, 2] a[4, 3] - a[1, 4] a[2, 3] a[4, 2] 2 2 2 2 + a[1, 4] a[3, 2] a[4, 2] a[4, 3] - a[1, 4] a[3, 3] a[4, 2] a[4, 3]) = 0 in Maple notation (-a[1,1]^2*a[1,3]*a[2,2]*a[4,2]*a[4,3]+a[1,1]^2*a[1,3]*a[2,3]*a[4,2]^2-a[1,1]^2 *a[1,3]*a[3,2]*a[4,3]^2+a[1,1]^2*a[1,3]*a[3,3]*a[4,2]*a[4,3]+a[1,1]*a[1,2]*a[1, 3]*a[2,1]*a[4,2]*a[4,3]+a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[4,1]*a[4,3]-2*a[1,1]*a[1, 2]*a[1,3]*a[2,3]*a[4,1]*a[4,2]+a[1,1]*a[1,2]*a[1,3]*a[3,1]*a[4,3]^2-a[1,1]*a[1, 2]*a[1,3]*a[3,3]*a[4,1]*a[4,3]-a[1,1]*a[1,2]*a[2,2]*a[2,3]*a[4,2]*a[4,3]+a[1,1] *a[1,2]*a[2,3]^2*a[4,2]^2-a[1,1]*a[1,2]*a[2,3]*a[3,2]*a[4,3]^2+a[1,1]*a[1,2]*a[ 2,3]*a[3,3]*a[4,2]*a[4,3]-a[1,1]*a[1,3]^2*a[2,1]*a[4,2]^2+a[1,1]*a[1,3]^2*a[2,2 ]*a[4,1]*a[4,2]-a[1,1]*a[1,3]^2*a[3,1]*a[4,2]*a[4,3]+2*a[1,1]*a[1,3]^2*a[3,2]*a [4,1]*a[4,3]-a[1,1]*a[1,3]^2*a[3,3]*a[4,1]*a[4,2]+a[1,1]*a[1,3]*a[2,2]^2*a[4,2] *a[4,3]-a[1,1]*a[1,3]*a[2,2]*a[2,3]*a[4,2]^2+a[1,1]*a[1,3]*a[2,2]*a[3,2]*a[4,3] ^2-a[1,1]*a[1,3]*a[2,2]*a[3,3]*a[4,2]*a[4,3]+a[1,1]*a[1,3]*a[2,2]*a[4,2]*a[4,3] *a[4,4]-a[1,1]*a[1,3]*a[2,3]*a[4,2]^2*a[4,4]+a[1,1]*a[1,3]*a[3,2]*a[4,3]^2*a[4, 4]-a[1,1]*a[1,3]*a[3,3]*a[4,2]*a[4,3]*a[4,4]-a[1,1]*a[1,4]*a[2,2]*a[4,2]*a[4,3] ^2+a[1,1]*a[1,4]*a[2,3]*a[4,2]^2*a[4,3]-a[1,1]*a[1,4]*a[3,2]*a[4,3]^3+a[1,1]*a[ 1,4]*a[3,3]*a[4,2]*a[4,3]^2-a[1,2]^2*a[1,3]*a[2,1]*a[4,1]*a[4,3]+a[1,2]^2*a[1,3 ]*a[2,3]*a[4,1]^2+a[1,2]^2*a[2,1]*a[2,3]*a[4,2]*a[4,3]-a[1,2]^2*a[2,3]^2*a[4,1] *a[4,2]+a[1,2]^2*a[2,3]*a[3,1]*a[4,3]^2-a[1,2]^2*a[2,3]*a[3,3]*a[4,1]*a[4,3]+a[ 1,2]^2*a[2,3]*a[4,1]*a[4,3]*a[4,4]-a[1,2]^2*a[2,4]*a[4,1]*a[4,3]^2+a[1,2]*a[1,3 ]^2*a[2,1]*a[4,1]*a[4,2]-a[1,2]*a[1,3]^2*a[2,2]*a[4,1]^2-a[1,2]*a[1,3]^2*a[3,1] *a[4,1]*a[4,3]+a[1,2]*a[1,3]^2*a[3,3]*a[4,1]^2-a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[4, 2]*a[4,3]-a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[4,2]^2-a[1,2]*a[1,3]*a[2,1]*a[3,2]*a[4, 3]^2+a[1,2]*a[1,3]*a[2,1]*a[3,3]*a[4,2]*a[4,3]-a[1,2]*a[1,3]*a[2,1]*a[4,2]*a[4, 3]*a[4,4]+2*a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[4,1]*a[4,2]-a[1,2]*a[1,3]*a[2,2]*a[4, 1]*a[4,3]*a[4,4]-2*a[1,2]*a[1,3]*a[2,3]*a[3,1]*a[4,2]*a[4,3]+2*a[1,2]*a[1,3]*a[ 2,3]*a[3,2]*a[4,1]*a[4,3]+2*a[1,2]*a[1,3]*a[2,4]*a[4,1]*a[4,2]*a[4,3]-a[1,2]*a[ 1,3]*a[3,1]*a[4,3]^2*a[4,4]+a[1,2]*a[1,3]*a[3,3]*a[4,1]*a[4,3]*a[4,4]+a[1,2]*a[ 1,4]*a[2,1]*a[4,2]*a[4,3]^2+a[1,2]*a[1,4]*a[2,2]*a[4,1]*a[4,3]^2-2*a[1,2]*a[1,4 ]*a[2,3]*a[4,1]*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[3,1]*a[4,3]^3-a[1,2]*a[1,4]*a[3,3 ]*a[4,1]*a[4,3]^2+a[1,2]*a[2,2]*a[2,3]*a[4,2]*a[4,3]*a[4,4]-a[1,2]*a[2,2]*a[2,4 ]*a[4,2]*a[4,3]^2-a[1,2]*a[2,3]^2*a[4,2]^2*a[4,4]+a[1,2]*a[2,3]*a[2,4]*a[4,2]^2 *a[4,3]+a[1,2]*a[2,3]*a[3,2]*a[4,3]^2*a[4,4]-a[1,2]*a[2,3]*a[3,3]*a[4,2]*a[4,3] *a[4,4]-a[1,2]*a[2,4]*a[3,2]*a[4,3]^3+a[1,2]*a[2,4]*a[3,3]*a[4,2]*a[4,3]^2+a[1, 3]^3*a[3,1]*a[4,1]*a[4,2]-a[1,3]^3*a[3,2]*a[4,1]^2+a[1,3]^2*a[2,1]*a[2,2]*a[4,2 ]^2+a[1,3]^2*a[2,1]*a[3,2]*a[4,2]*a[4,3]-a[1,3]^2*a[2,1]*a[3,3]*a[4,2]^2+a[1,3] ^2*a[2,1]*a[4,2]^2*a[4,4]-a[1,3]^2*a[2,2]^2*a[4,1]*a[4,2]-a[1,3]^2*a[2,2]*a[3,2 ]*a[4,1]*a[4,3]+a[1,3]^2*a[2,2]*a[3,3]*a[4,1]*a[4,2]+a[1,3]^2*a[2,3]*a[3,1]*a[4 ,2]^2-a[1,3]^2*a[2,3]*a[3,2]*a[4,1]*a[4,2]-a[1,3]^2*a[2,4]*a[4,1]*a[4,2]^2+a[1, 3]^2*a[3,1]*a[4,2]*a[4,3]*a[4,4]-a[1,3]^2*a[3,2]*a[4,1]*a[4,3]*a[4,4]-a[1,3]*a[ 1,4]*a[2,1]*a[4,2]^2*a[4,3]+a[1,3]*a[1,4]*a[2,3]*a[4,1]*a[4,2]^2-a[1,3]*a[1,4]* a[3,1]*a[4,2]*a[4,3]^2+a[1,3]*a[1,4]*a[3,2]*a[4,1]*a[4,3]^2-a[1,3]*a[2,2]^2*a[4 ,2]*a[4,3]*a[4,4]+a[1,3]*a[2,2]*a[2,3]*a[4,2]^2*a[4,4]+a[1,3]*a[2,2]*a[2,4]*a[4 ,2]^2*a[4,3]-a[1,3]*a[2,2]*a[3,2]*a[4,3]^2*a[4,4]+a[1,3]*a[2,2]*a[3,3]*a[4,2]*a [4,3]*a[4,4]-a[1,3]*a[2,3]*a[2,4]*a[4,2]^3+a[1,3]*a[2,4]*a[3,2]*a[4,2]*a[4,3]^2 -a[1,3]*a[2,4]*a[3,3]*a[4,2]^2*a[4,3]+a[1,4]*a[2,2]^2*a[4,2]*a[4,3]^2-2*a[1,4]* a[2,2]*a[2,3]*a[4,2]^2*a[4,3]+a[1,4]*a[2,2]*a[3,2]*a[4,3]^3-a[1,4]*a[2,2]*a[3,3 ]*a[4,2]*a[4,3]^2+a[1,4]*a[2,3]^2*a[4,2]^3-a[1,4]*a[2,3]*a[3,2]*a[4,2]*a[4,3]^2 +a[1,4]*a[2,3]*a[3,3]*a[4,2]^2*a[4,3])*X[1,2]+(a[1,1]^2*a[1,2]*a[2,2]*a[4,2]*a[ 4,3]-a[1,1]^2*a[1,2]*a[2,3]*a[4,2]^2+a[1,1]^2*a[1,2]*a[3,2]*a[4,3]^2-a[1,1]^2*a [1,2]*a[3,3]*a[4,2]*a[4,3]-a[1,1]*a[1,2]^2*a[2,1]*a[4,2]*a[4,3]-a[1,1]*a[1,2]^2 *a[2,2]*a[4,1]*a[4,3]+2*a[1,1]*a[1,2]^2*a[2,3]*a[4,1]*a[4,2]-a[1,1]*a[1,2]^2*a[ 3,1]*a[4,3]^2+a[1,1]*a[1,2]^2*a[3,3]*a[4,1]*a[4,3]+a[1,1]*a[1,2]*a[1,3]*a[2,1]* a[4,2]^2-a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[4,1]*a[4,2]+a[1,1]*a[1,2]*a[1,3]*a[3,1]* a[4,2]*a[4,3]-2*a[1,1]*a[1,2]*a[1,3]*a[3,2]*a[4,1]*a[4,3]+a[1,1]*a[1,2]*a[1,3]* a[3,3]*a[4,1]*a[4,2]-a[1,1]*a[1,2]*a[2,2]*a[3,3]*a[4,2]*a[4,3]-a[1,1]*a[1,2]*a[ 2,2]*a[4,2]*a[4,3]*a[4,4]+a[1,1]*a[1,2]*a[2,3]*a[3,3]*a[4,2]^2+a[1,1]*a[1,2]*a[ 2,3]*a[4,2]^2*a[4,4]-a[1,1]*a[1,2]*a[3,2]*a[3,3]*a[4,3]^2-a[1,1]*a[1,2]*a[3,2]* a[4,3]^2*a[4,4]+a[1,1]*a[1,2]*a[3,3]^2*a[4,2]*a[4,3]+a[1,1]*a[1,2]*a[3,3]*a[4,2 ]*a[4,3]*a[4,4]+a[1,1]*a[1,3]*a[2,2]*a[3,2]*a[4,2]*a[4,3]-a[1,1]*a[1,3]*a[2,3]* a[3,2]*a[4,2]^2+a[1,1]*a[1,3]*a[3,2]^2*a[4,3]^2-a[1,1]*a[1,3]*a[3,2]*a[3,3]*a[4 ,2]*a[4,3]+a[1,1]*a[1,4]*a[2,2]*a[4,2]^2*a[4,3]-a[1,1]*a[1,4]*a[2,3]*a[4,2]^3+a [1,1]*a[1,4]*a[3,2]*a[4,2]*a[4,3]^2-a[1,1]*a[1,4]*a[3,3]*a[4,2]^2*a[4,3]+a[1,2] ^3*a[2,1]*a[4,1]*a[4,3]-a[1,2]^3*a[2,3]*a[4,1]^2-a[1,2]^2*a[1,3]*a[2,1]*a[4,1]* a[4,2]+a[1,2]^2*a[1,3]*a[2,2]*a[4,1]^2+a[1,2]^2*a[1,3]*a[3,1]*a[4,1]*a[4,3]-a[1 ,2]^2*a[1,3]*a[3,3]*a[4,1]^2+a[1,2]^2*a[2,1]*a[3,2]*a[4,3]^2+a[1,2]^2*a[2,1]*a[ 4,2]*a[4,3]*a[4,4]-a[1,2]^2*a[2,2]*a[3,1]*a[4,3]^2+a[1,2]^2*a[2,2]*a[3,3]*a[4,1 ]*a[4,3]+a[1,2]^2*a[2,3]*a[3,1]*a[4,2]*a[4,3]-a[1,2]^2*a[2,3]*a[3,2]*a[4,1]*a[4 ,3]-a[1,2]^2*a[2,3]*a[3,3]*a[4,1]*a[4,2]-a[1,2]^2*a[2,3]*a[4,1]*a[4,2]*a[4,4]+a [1,2]^2*a[3,1]*a[3,3]*a[4,3]^2+a[1,2]^2*a[3,1]*a[4,3]^2*a[4,4]-a[1,2]^2*a[3,3]^ 2*a[4,1]*a[4,3]-a[1,2]^2*a[3,4]*a[4,1]*a[4,3]^2-a[1,2]*a[1,3]^2*a[3,1]*a[4,1]*a [4,2]+a[1,2]*a[1,3]^2*a[3,2]*a[4,1]^2-2*a[1,2]*a[1,3]*a[2,1]*a[3,2]*a[4,2]*a[4, 3]-a[1,2]*a[1,3]*a[2,1]*a[4,2]^2*a[4,4]+a[1,2]*a[1,3]*a[2,2]*a[3,1]*a[4,2]*a[4, 3]+a[1,2]*a[1,3]*a[2,2]*a[4,1]*a[4,2]*a[4,4]-a[1,2]*a[1,3]*a[2,3]*a[3,1]*a[4,2] ^2+2*a[1,2]*a[1,3]*a[2,3]*a[3,2]*a[4,1]*a[4,2]-a[1,2]*a[1,3]*a[3,1]*a[3,2]*a[4, 3]^2-a[1,2]*a[1,3]*a[3,1]*a[3,3]*a[4,2]*a[4,3]-a[1,2]*a[1,3]*a[3,1]*a[4,2]*a[4, 3]*a[4,4]+2*a[1,2]*a[1,3]*a[3,2]*a[3,3]*a[4,1]*a[4,3]-a[1,2]*a[1,3]*a[3,3]*a[4, 1]*a[4,2]*a[4,4]+2*a[1,2]*a[1,3]*a[3,4]*a[4,1]*a[4,2]*a[4,3]-a[1,2]*a[1,4]*a[2, 1]*a[4,2]^2*a[4,3]+a[1,2]*a[1,4]*a[2,3]*a[4,1]*a[4,2]^2-a[1,2]*a[1,4]*a[3,1]*a[ 4,2]*a[4,3]^2+a[1,2]*a[1,4]*a[3,2]*a[4,1]*a[4,3]^2+a[1,2]*a[2,2]*a[3,3]*a[4,2]* a[4,3]*a[4,4]-a[1,2]*a[2,2]*a[3,4]*a[4,2]*a[4,3]^2-a[1,2]*a[2,3]*a[3,3]*a[4,2]^ 2*a[4,4]+a[1,2]*a[2,3]*a[3,4]*a[4,2]^2*a[4,3]+a[1,2]*a[3,2]*a[3,3]*a[4,3]^2*a[4 ,4]-a[1,2]*a[3,2]*a[3,4]*a[4,3]^3-a[1,2]*a[3,3]^2*a[4,2]*a[4,3]*a[4,4]+a[1,2]*a [3,3]*a[3,4]*a[4,2]*a[4,3]^2+a[1,3]^2*a[2,1]*a[3,2]*a[4,2]^2-a[1,3]^2*a[2,2]*a[ 3,2]*a[4,1]*a[4,2]+a[1,3]^2*a[3,1]*a[3,2]*a[4,2]*a[4,3]-a[1,3]^2*a[3,2]^2*a[4,1 ]*a[4,3]+a[1,3]^2*a[3,2]*a[4,1]*a[4,2]*a[4,4]-a[1,3]^2*a[3,4]*a[4,1]*a[4,2]^2+a [1,3]*a[1,4]*a[2,1]*a[4,2]^3-a[1,3]*a[1,4]*a[2,2]*a[4,1]*a[4,2]^2+a[1,3]*a[1,4] *a[3,1]*a[4,2]^2*a[4,3]-2*a[1,3]*a[1,4]*a[3,2]*a[4,1]*a[4,2]*a[4,3]+a[1,3]*a[1, 4]*a[3,3]*a[4,1]*a[4,2]^2-a[1,3]*a[2,2]*a[3,2]*a[4,2]*a[4,3]*a[4,4]+a[1,3]*a[2, 2]*a[3,4]*a[4,2]^2*a[4,3]+a[1,3]*a[2,3]*a[3,2]*a[4,2]^2*a[4,4]-a[1,3]*a[2,3]*a[ 3,4]*a[4,2]^3-a[1,3]*a[3,2]^2*a[4,3]^2*a[4,4]+a[1,3]*a[3,2]*a[3,3]*a[4,2]*a[4,3 ]*a[4,4]+a[1,3]*a[3,2]*a[3,4]*a[4,2]*a[4,3]^2-a[1,3]*a[3,3]*a[3,4]*a[4,2]^2*a[4 ,3]+a[1,4]*a[2,2]*a[3,2]*a[4,2]*a[4,3]^2-a[1,4]*a[2,2]*a[3,3]*a[4,2]^2*a[4,3]-a [1,4]*a[2,3]*a[3,2]*a[4,2]^2*a[4,3]+a[1,4]*a[2,3]*a[3,3]*a[4,2]^3+a[1,4]*a[3,2] ^2*a[4,3]^3-2*a[1,4]*a[3,2]*a[3,3]*a[4,2]*a[4,3]^2+a[1,4]*a[3,3]^2*a[4,2]^2*a[4 ,3])*X[1,3]+(a[1,1]*a[1,2]^2*a[2,2]*a[2,3]*a[4,3]-a[1,1]*a[1,2]^2*a[2,3]^2*a[4, 2]-a[1,1]*a[1,2]^2*a[2,3]*a[4,3]*a[4,4]+a[1,1]*a[1,2]^2*a[2,4]*a[4,3]^2-a[1,1]* a[1,2]*a[1,3]*a[2,2]^2*a[4,3]+a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[4,2]+a[1,1]* a[1,2]*a[1,3]*a[2,2]*a[3,3]*a[4,3]+a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[4,3]*a[4,4]-a[ 1,1]*a[1,2]*a[1,3]*a[2,3]*a[3,3]*a[4,2]-a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[4,2]*a[4, 3]-a[1,1]*a[1,2]*a[1,3]*a[3,3]*a[4,3]*a[4,4]+a[1,1]*a[1,2]*a[1,3]*a[3,4]*a[4,3] ^2-a[1,1]*a[1,3]^2*a[2,2]*a[3,2]*a[4,3]+a[1,1]*a[1,3]^2*a[2,3]*a[3,2]*a[4,2]+a[ 1,1]*a[1,3]^2*a[3,2]*a[4,3]*a[4,4]-a[1,1]*a[1,3]^2*a[3,4]*a[4,2]*a[4,3]-a[1,1]* a[1,3]*a[1,4]*a[2,2]*a[4,2]*a[4,3]+a[1,1]*a[1,3]*a[1,4]*a[2,3]*a[4,2]^2-a[1,1]* a[1,3]*a[1,4]*a[3,2]*a[4,3]^2+a[1,1]*a[1,3]*a[1,4]*a[3,3]*a[4,2]*a[4,3]-a[1,2]^ 3*a[2,1]*a[2,3]*a[4,3]+a[1,2]^3*a[2,3]^2*a[4,1]+a[1,2]^2*a[1,3]*a[2,1]*a[2,2]*a [4,3]+a[1,2]^2*a[1,3]*a[2,1]*a[2,3]*a[4,2]-a[1,2]^2*a[1,3]*a[2,1]*a[3,3]*a[4,3] -2*a[1,2]^2*a[1,3]*a[2,2]*a[2,3]*a[4,1]+a[1,2]^2*a[1,3]*a[2,3]*a[3,3]*a[4,1]+a[ 1,2]^2*a[1,3]*a[2,3]*a[4,1]*a[4,4]-a[1,2]^2*a[1,3]*a[2,4]*a[4,1]*a[4,3]-a[1,2]^ 2*a[1,4]*a[2,1]*a[4,3]^2+a[1,2]^2*a[1,4]*a[2,3]*a[4,1]*a[4,3]-a[1,2]^2*a[2,2]*a [2,3]*a[4,3]*a[4,4]+a[1,2]^2*a[2,2]*a[2,4]*a[4,3]^2+a[1,2]^2*a[2,3]^2*a[4,2]*a[ 4,4]-a[1,2]^2*a[2,3]*a[2,4]*a[4,2]*a[4,3]+a[1,2]^2*a[2,3]*a[3,4]*a[4,3]^2+a[1,2 ]^2*a[2,3]*a[4,3]*a[4,4]^2-a[1,2]^2*a[2,4]*a[3,3]*a[4,3]^2-a[1,2]^2*a[2,4]*a[4, 3]^2*a[4,4]-a[1,2]*a[1,3]^2*a[2,1]*a[2,2]*a[4,2]+a[1,2]*a[1,3]^2*a[2,1]*a[3,2]* a[4,3]+a[1,2]*a[1,3]^2*a[2,1]*a[3,3]*a[4,2]+a[1,2]*a[1,3]^2*a[2,2]^2*a[4,1]-a[1 ,2]*a[1,3]^2*a[2,2]*a[3,3]*a[4,1]-a[1,2]*a[1,3]^2*a[2,2]*a[4,1]*a[4,4]-a[1,2]*a [1,3]^2*a[2,3]*a[3,2]*a[4,1]+a[1,2]*a[1,3]^2*a[2,4]*a[4,1]*a[4,2]+a[1,2]*a[1,3] ^2*a[3,3]*a[4,1]*a[4,4]-a[1,2]*a[1,3]^2*a[3,4]*a[4,1]*a[4,3]+2*a[1,2]*a[1,3]*a[ 1,4]*a[2,1]*a[4,2]*a[4,3]-2*a[1,2]*a[1,3]*a[1,4]*a[2,3]*a[4,1]*a[4,2]+a[1,2]*a[ 1,3]*a[2,2]^2*a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[4,2]*a[4,4]-a[1,2]*a[ 1,3]*a[2,2]*a[2,4]*a[4,2]*a[4,3]-a[1,2]*a[1,3]*a[2,2]*a[3,3]*a[4,3]*a[4,4]-a[1, 2]*a[1,3]*a[2,2]*a[4,3]*a[4,4]^2+a[1,2]*a[1,3]*a[2,3]*a[2,4]*a[4,2]^2+a[1,2]*a[ 1,3]*a[2,3]*a[3,3]*a[4,2]*a[4,4]-2*a[1,2]*a[1,3]*a[2,3]*a[3,4]*a[4,2]*a[4,3]+a[ 1,2]*a[1,3]*a[2,4]*a[3,2]*a[4,3]^2+a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,2]*a[4,3]+a[ 1,2]*a[1,3]*a[2,4]*a[4,2]*a[4,3]*a[4,4]+a[1,2]*a[1,3]*a[3,3]*a[4,3]*a[4,4]^2-a[ 1,2]*a[1,3]*a[3,4]*a[4,3]^2*a[4,4]-a[1,2]*a[1,4]*a[2,2]^2*a[4,3]^2+2*a[1,2]*a[1 ,4]*a[2,2]*a[2,3]*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[3,3]*a[4,3]^2+a[1,2]*a[1 ,4]*a[2,2]*a[4,3]^2*a[4,4]-a[1,2]*a[1,4]*a[2,3]^2*a[4,2]^2-a[1,2]*a[1,4]*a[2,3] *a[3,2]*a[4,3]^2-2*a[1,2]*a[1,4]*a[2,3]*a[4,2]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2, 4]*a[4,2]*a[4,3]^2-a[1,2]*a[1,4]*a[3,3]*a[4,3]^2*a[4,4]+a[1,2]*a[1,4]*a[3,4]*a[ 4,3]^3-a[1,3]^3*a[2,1]*a[3,2]*a[4,2]+a[1,3]^3*a[2,2]*a[3,2]*a[4,1]-a[1,3]^3*a[3 ,2]*a[4,1]*a[4,4]+a[1,3]^3*a[3,4]*a[4,1]*a[4,2]-a[1,3]^2*a[1,4]*a[2,1]*a[4,2]^2 +a[1,3]^2*a[1,4]*a[2,2]*a[4,1]*a[4,2]+a[1,3]^2*a[1,4]*a[3,2]*a[4,1]*a[4,3]-a[1, 3]^2*a[1,4]*a[3,3]*a[4,1]*a[4,2]+a[1,3]^2*a[2,2]*a[3,2]*a[4,3]*a[4,4]-a[1,3]^2* a[2,3]*a[3,2]*a[4,2]*a[4,4]+a[1,3]^2*a[2,3]*a[3,4]*a[4,2]^2-a[1,3]^2*a[2,4]*a[3 ,2]*a[4,2]*a[4,3]-a[1,3]^2*a[3,2]*a[4,3]*a[4,4]^2+a[1,3]^2*a[3,4]*a[4,2]*a[4,3] *a[4,4]-a[1,3]*a[1,4]*a[2,2]*a[3,2]*a[4,3]^2+a[1,3]*a[1,4]*a[2,2]*a[4,2]*a[4,3] *a[4,4]+2*a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,2]*a[4,3]-a[1,3]*a[1,4]*a[2,3]*a[3,3] *a[4,2]^2-a[1,3]*a[1,4]*a[2,4]*a[4,2]^2*a[4,3]+2*a[1,3]*a[1,4]*a[3,2]*a[4,3]^2* a[4,4]-a[1,3]*a[1,4]*a[3,3]*a[4,2]*a[4,3]*a[4,4]-a[1,3]*a[1,4]*a[3,4]*a[4,2]*a[ 4,3]^2-a[1,4]^2*a[2,2]*a[4,2]*a[4,3]^2+a[1,4]^2*a[2,3]*a[4,2]^2*a[4,3]-a[1,4]^2 *a[3,2]*a[4,3]^3+a[1,4]^2*a[3,3]*a[4,2]*a[4,3]^2)*X[4,2]+X[4,3]*(a[1,1]*a[1,2]^ 2*a[2,3]*a[3,2]*a[4,3]-a[1,1]*a[1,2]^2*a[2,3]*a[3,3]*a[4,2]+a[1,1]*a[1,2]^2*a[2 ,3]*a[4,2]*a[4,4]-a[1,1]*a[1,2]^2*a[2,4]*a[4,2]*a[4,3]-a[1,1]*a[1,2]*a[1,3]*a[2 ,2]*a[3,2]*a[4,3]+a[1,1]*a[1,2]*a[1,3]*a[2,2]*a[3,3]*a[4,2]-a[1,1]*a[1,2]*a[1,3 ]*a[2,2]*a[4,2]*a[4,4]+a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[4,2]^2+a[1,1]*a[1,2]*a[1,3 ]*a[3,2]*a[3,3]*a[4,3]-a[1,1]*a[1,2]*a[1,3]*a[3,3]^2*a[4,2]+a[1,1]*a[1,2]*a[1,3 ]*a[3,3]*a[4,2]*a[4,4]-a[1,1]*a[1,2]*a[1,3]*a[3,4]*a[4,2]*a[4,3]+a[1,1]*a[1,2]* a[1,4]*a[2,2]*a[4,2]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[4,2]^2+a[1,1]*a[1,2]* a[1,4]*a[3,2]*a[4,3]^2-a[1,1]*a[1,2]*a[1,4]*a[3,3]*a[4,2]*a[4,3]-a[1,1]*a[1,3]^ 2*a[3,2]^2*a[4,3]+a[1,1]*a[1,3]^2*a[3,2]*a[3,3]*a[4,2]-a[1,1]*a[1,3]^2*a[3,2]*a [4,2]*a[4,4]+a[1,1]*a[1,3]^2*a[3,4]*a[4,2]^2-a[1,2]^3*a[2,3]*a[3,1]*a[4,3]+a[1, 2]^3*a[2,3]*a[3,3]*a[4,1]-a[1,2]^3*a[2,3]*a[4,1]*a[4,4]+a[1,2]^3*a[2,4]*a[4,1]* a[4,3]+a[1,2]^2*a[1,3]*a[2,2]*a[3,1]*a[4,3]-a[1,2]^2*a[1,3]*a[2,2]*a[3,3]*a[4,1 ]+a[1,2]^2*a[1,3]*a[2,2]*a[4,1]*a[4,4]+a[1,2]^2*a[1,3]*a[2,3]*a[3,1]*a[4,2]-a[1 ,2]^2*a[1,3]*a[2,3]*a[3,2]*a[4,1]-a[1,2]^2*a[1,3]*a[2,4]*a[4,1]*a[4,2]-a[1,2]^2 *a[1,3]*a[3,1]*a[3,3]*a[4,3]+a[1,2]^2*a[1,3]*a[3,3]^2*a[4,1]-a[1,2]^2*a[1,3]*a[ 3,3]*a[4,1]*a[4,4]+a[1,2]^2*a[1,3]*a[3,4]*a[4,1]*a[4,3]-a[1,2]^2*a[1,4]*a[2,2]* a[4,1]*a[4,3]+a[1,2]^2*a[1,4]*a[2,3]*a[4,1]*a[4,2]-a[1,2]^2*a[1,4]*a[3,1]*a[4,3 ]^2+a[1,2]^2*a[1,4]*a[3,3]*a[4,1]*a[4,3]-a[1,2]^2*a[2,3]*a[3,2]*a[4,3]*a[4,4]+a [1,2]^2*a[2,3]*a[3,3]*a[4,2]*a[4,4]-a[1,2]^2*a[2,3]*a[3,4]*a[4,2]*a[4,3]-a[1,2] ^2*a[2,3]*a[4,2]*a[4,4]^2+a[1,2]^2*a[2,4]*a[3,2]*a[4,3]^2+a[1,2]^2*a[2,4]*a[4,2 ]*a[4,3]*a[4,4]-a[1,2]*a[1,3]^2*a[2,2]*a[3,1]*a[4,2]+a[1,2]*a[1,3]^2*a[2,2]*a[3 ,2]*a[4,1]+a[1,2]*a[1,3]^2*a[3,1]*a[3,2]*a[4,3]+a[1,2]*a[1,3]^2*a[3,1]*a[3,3]*a [4,2]-2*a[1,2]*a[1,3]^2*a[3,2]*a[3,3]*a[4,1]+a[1,2]*a[1,3]^2*a[3,2]*a[4,1]*a[4, 4]-a[1,2]*a[1,3]^2*a[3,4]*a[4,1]*a[4,2]+2*a[1,2]*a[1,3]*a[1,4]*a[3,1]*a[4,2]*a[ 4,3]-2*a[1,2]*a[1,3]*a[1,4]*a[3,2]*a[4,1]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[3,2]*a[ 4,3]*a[4,4]-a[1,2]*a[1,3]*a[2,2]*a[3,3]*a[4,2]*a[4,4]+a[1,2]*a[1,3]*a[2,2]*a[3, 4]*a[4,2]*a[4,3]+a[1,2]*a[1,3]*a[2,2]*a[4,2]*a[4,4]^2+a[1,2]*a[1,3]*a[2,3]*a[3, 4]*a[4,2]^2-2*a[1,2]*a[1,3]*a[2,4]*a[3,2]*a[4,2]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[ 4,2]^2*a[4,4]-a[1,2]*a[1,3]*a[3,2]*a[3,3]*a[4,3]*a[4,4]+a[1,2]*a[1,3]*a[3,2]*a[ 3,4]*a[4,3]^2+a[1,2]*a[1,3]*a[3,3]^2*a[4,2]*a[4,4]-a[1,2]*a[1,3]*a[3,3]*a[3,4]* a[4,2]*a[4,3]-a[1,2]*a[1,3]*a[3,3]*a[4,2]*a[4,4]^2+a[1,2]*a[1,3]*a[3,4]*a[4,2]* a[4,3]*a[4,4]-a[1,2]*a[1,4]*a[2,2]*a[3,2]*a[4,3]^2-a[1,2]*a[1,4]*a[2,2]*a[4,2]* a[4,3]*a[4,4]+2*a[1,2]*a[1,4]*a[2,3]*a[3,2]*a[4,2]*a[4,3]-a[1,2]*a[1,4]*a[2,3]* a[3,3]*a[4,2]^2+2*a[1,2]*a[1,4]*a[2,3]*a[4,2]^2*a[4,4]-a[1,2]*a[1,4]*a[2,4]*a[4 ,2]^2*a[4,3]+a[1,2]*a[1,4]*a[3,3]*a[4,2]*a[4,3]*a[4,4]-a[1,2]*a[1,4]*a[3,4]*a[4 ,2]*a[4,3]^2-a[1,3]^3*a[3,1]*a[3,2]*a[4,2]+a[1,3]^3*a[3,2]^2*a[4,1]-a[1,3]^2*a[ 1,4]*a[3,1]*a[4,2]^2+a[1,3]^2*a[1,4]*a[3,2]*a[4,1]*a[4,2]-a[1,3]^2*a[2,2]*a[3,4 ]*a[4,2]^2+a[1,3]^2*a[2,4]*a[3,2]*a[4,2]^2+a[1,3]^2*a[3,2]^2*a[4,3]*a[4,4]-a[1, 3]^2*a[3,2]*a[3,3]*a[4,2]*a[4,4]-a[1,3]^2*a[3,2]*a[3,4]*a[4,2]*a[4,3]+a[1,3]^2* a[3,2]*a[4,2]*a[4,4]^2+a[1,3]^2*a[3,3]*a[3,4]*a[4,2]^2-a[1,3]^2*a[3,4]*a[4,2]^2 *a[4,4]+a[1,3]*a[1,4]*a[2,2]*a[3,3]*a[4,2]^2-a[1,3]*a[1,4]*a[2,2]*a[4,2]^2*a[4, 4]-a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,2]^2+a[1,3]*a[1,4]*a[2,4]*a[4,2]^3-a[1,3]*a[ 1,4]*a[3,2]^2*a[4,3]^2+2*a[1,3]*a[1,4]*a[3,2]*a[3,3]*a[4,2]*a[4,3]-2*a[1,3]*a[1 ,4]*a[3,2]*a[4,2]*a[4,3]*a[4,4]-a[1,3]*a[1,4]*a[3,3]^2*a[4,2]^2+a[1,3]*a[1,4]*a [3,3]*a[4,2]^2*a[4,4]+a[1,3]*a[1,4]*a[3,4]*a[4,2]^2*a[4,3]+a[1,4]^2*a[2,2]*a[4, 2]^2*a[4,3]-a[1,4]^2*a[2,3]*a[4,2]^3+a[1,4]^2*a[3,2]*a[4,2]*a[4,3]^2-a[1,4]^2*a [3,3]*a[4,2]^2*a[4,3]) = 0 ------------------------------------ Theorem number, 22, : let, {X[1, 2], X[2, 1], X[3, 1], X[4, 1]}, be the entri\ es of an ARBITRARY power of the general matrix M, we always have the lin\ ear relation 3 2 3 (-a[2, 1] a[3, 2] a[4, 3] + a[2, 1] a[3, 2] a[3, 3] a[4, 2] 3 3 2 - a[2, 1] a[3, 2] a[4, 2] a[4, 4] + a[2, 1] a[3, 4] a[4, 2] 2 + 2 a[2, 1] a[2, 2] a[3, 1] a[3, 2] a[4, 3] 2 - a[2, 1] a[2, 2] a[3, 1] a[3, 3] a[4, 2] 2 + a[2, 1] a[2, 2] a[3, 1] a[4, 2] a[4, 4] 2 - a[2, 1] a[2, 2] a[3, 2] a[3, 3] a[4, 1] 2 + a[2, 1] a[2, 2] a[3, 2] a[4, 1] a[4, 4] 2 - 2 a[2, 1] a[2, 2] a[3, 4] a[4, 1] a[4, 2] 2 - a[2, 1] a[2, 3] a[3, 1] a[3, 2] a[4, 2] 2 2 2 2 + a[2, 1] a[2, 3] a[3, 2] a[4, 1] - a[2, 1] a[2, 4] a[3, 1] a[4, 2] 2 + a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 2] 2 - a[2, 1] a[3, 1] a[3, 2] a[3, 3] a[4, 3] 2 - a[2, 1] a[3, 1] a[3, 2] a[4, 3] a[4, 4] 2 2 + a[2, 1] a[3, 1] a[3, 3] a[4, 2] 2 - a[2, 1] a[3, 1] a[3, 3] a[4, 2] a[4, 4] 2 + 2 a[2, 1] a[3, 1] a[3, 4] a[4, 2] a[4, 3] 2 + a[2, 1] a[3, 2] a[3, 3] a[4, 1] a[4, 4] 2 - 2 a[2, 1] a[3, 2] a[3, 4] a[4, 1] a[4, 3] 2 2 - a[2, 1] a[3, 2] a[4, 1] a[4, 4] 2 + a[2, 1] a[3, 3] a[3, 4] a[4, 1] a[4, 2] 2 + a[2, 1] a[3, 4] a[4, 1] a[4, 2] a[4, 4] 2 2 - a[2, 1] a[2, 2] a[3, 1] a[4, 3] 2 + a[2, 1] a[2, 2] a[3, 1] a[3, 3] a[4, 1] 2 - a[2, 1] a[2, 2] a[3, 1] a[4, 1] a[4, 4] 2 2 + a[2, 1] a[2, 2] a[3, 4] a[4, 1] 2 + a[2, 1] a[2, 2] a[2, 3] a[3, 1] a[4, 2] - a[2, 1] a[2, 2] a[2, 3] a[3, 1] a[3, 2] a[4, 1] + a[2, 1] a[2, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 - a[2, 1] a[2, 2] a[2, 4] a[3, 2] a[4, 1] 2 + a[2, 1] a[2, 2] a[3, 1] a[3, 3] a[4, 3] 2 + a[2, 1] a[2, 2] a[3, 1] a[4, 3] a[4, 4] 2 - a[2, 1] a[2, 2] a[3, 1] a[3, 3] a[4, 1] 2 + a[2, 1] a[2, 2] a[3, 1] a[4, 1] a[4, 4] 2 - a[2, 1] a[2, 2] a[3, 3] a[3, 4] a[4, 1] 2 - a[2, 1] a[2, 2] a[3, 4] a[4, 1] a[4, 4] 2 + a[2, 1] a[2, 3] a[3, 1] a[3, 2] a[4, 3] 2 - 2 a[2, 1] a[2, 3] a[3, 1] a[3, 3] a[4, 2] 2 + a[2, 1] a[2, 3] a[3, 1] a[4, 2] a[4, 4] + a[2, 1] a[2, 3] a[3, 1] a[3, 2] a[3, 3] a[4, 1] - 3 a[2, 1] a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 2] 2 + 2 a[2, 1] a[2, 3] a[3, 2] a[3, 4] a[4, 1] 2 - 2 a[2, 1] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + 3 a[2, 1] a[2, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 3] - a[2, 1] a[2, 4] a[3, 1] a[4, 1] a[4, 2] a[4, 4] 2 - a[2, 1] a[2, 4] a[3, 2] a[3, 3] a[4, 1] 2 + 2 a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 4] 2 - a[2, 1] a[2, 4] a[3, 4] a[4, 1] a[4, 2] 2 - a[2, 1] a[3, 1] a[3, 3] a[4, 3] a[4, 4] 2 2 + a[2, 1] a[3, 1] a[3, 4] a[4, 3] 2 + a[2, 1] a[3, 1] a[3, 3] a[4, 1] a[4, 4] - a[2, 1] a[3, 1] a[3, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[2, 1] a[3, 1] a[3, 3] a[4, 1] a[4, 4] + a[2, 1] a[3, 1] a[3, 4] a[4, 1] a[4, 3] a[4, 4] 2 + a[2, 1] a[3, 3] a[3, 4] a[4, 1] a[4, 4] 2 2 3 - a[2, 1] a[3, 4] a[4, 1] a[4, 3] - a[2, 2] a[2, 3] a[3, 1] a[4, 3] 2 + a[2, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 1] 2 - a[2, 2] a[2, 3] a[3, 1] a[4, 1] a[4, 4] 2 + a[2, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 1] 2 - a[2, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 3] 2 + a[2, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 1] 2 - a[2, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 4] 3 2 3 + a[2, 2] a[2, 4] a[3, 4] a[4, 1] + a[2, 3] a[3, 1] a[4, 2] 2 2 - a[2, 3] a[3, 1] a[3, 2] a[4, 1] 2 + 2 a[2, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 - 2 a[2, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 1] 3 + a[2, 3] a[3, 1] a[4, 3] a[4, 4] 2 - a[2, 3] a[3, 1] a[3, 3] a[4, 1] a[4, 4] 2 - a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 3] 2 2 + a[2, 3] a[3, 1] a[4, 1] a[4, 4] 2 + a[2, 3] a[3, 1] a[3, 3] a[3, 4] a[4, 1] 2 2 3 - 2 a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 4] + a[2, 3] a[3, 4] a[4, 1] 2 2 2 3 + a[2, 4] a[3, 1] a[4, 1] a[4, 2] - a[2, 4] a[3, 2] a[4, 1] 3 2 2 - a[2, 4] a[3, 1] a[4, 3] + 2 a[2, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 3] 2 - a[2, 4] a[3, 1] a[4, 1] a[4, 3] a[4, 4] 2 2 - a[2, 4] a[3, 1] a[3, 3] a[4, 1] 2 + a[2, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 4] 2 + a[2, 4] a[3, 1] a[3, 4] a[4, 1] a[4, 3] 3 - a[2, 4] a[3, 3] a[3, 4] a[4, 1] ) X[1, 2] + ( 2 2 a[1, 2] a[2, 1] a[3, 2] a[4, 3] 2 - a[1, 2] a[2, 1] a[3, 2] a[3, 3] a[4, 2] 2 + a[1, 2] a[2, 1] a[3, 2] a[4, 2] a[4, 4] 2 2 - a[1, 2] a[2, 1] a[3, 4] a[4, 2] - 2 a[1, 2] a[2, 1] a[2, 2] a[3, 1] a[3, 2] a[4, 3] + a[1, 2] a[2, 1] a[2, 2] a[3, 1] a[3, 3] a[4, 2] - a[1, 2] a[2, 1] a[2, 2] a[3, 1] a[4, 2] a[4, 4] + a[1, 2] a[2, 1] a[2, 2] a[3, 2] a[3, 3] a[4, 1] - a[1, 2] a[2, 1] a[2, 2] a[3, 2] a[4, 1] a[4, 4] + 2 a[1, 2] a[2, 1] a[2, 2] a[3, 4] a[4, 1] a[4, 2] + a[1, 2] a[2, 1] a[2, 3] a[3, 1] a[3, 2] a[4, 2] 2 - a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[4, 1] 2 + a[1, 2] a[2, 1] a[2, 4] a[3, 1] a[4, 2] - a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 2] + a[1, 2] a[2, 1] a[3, 1] a[3, 2] a[3, 3] a[4, 3] + a[1, 2] a[2, 1] a[3, 1] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 1] a[3, 1] a[3, 3] a[4, 2] + a[1, 2] a[2, 1] a[3, 1] a[3, 3] a[4, 2] a[4, 4] - 2 a[1, 2] a[2, 1] a[3, 1] a[3, 4] a[4, 2] a[4, 3] - a[1, 2] a[2, 1] a[3, 2] a[3, 3] a[4, 1] a[4, 4] + 2 a[1, 2] a[2, 1] a[3, 2] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[2, 1] a[3, 2] a[4, 1] a[4, 4] - a[1, 2] a[2, 1] a[3, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 2] a[2, 1] a[3, 4] a[4, 1] a[4, 2] a[4, 4] 2 2 + a[1, 2] a[2, 2] a[3, 1] a[4, 3] 2 - a[1, 2] a[2, 2] a[3, 1] a[3, 3] a[4, 1] 2 + a[1, 2] a[2, 2] a[3, 1] a[4, 1] a[4, 4] 2 2 - a[1, 2] a[2, 2] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[4, 2] + a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[3, 2] a[4, 1] - a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 + a[1, 2] a[2, 2] a[2, 4] a[3, 2] a[4, 1] 2 - a[1, 2] a[2, 2] a[3, 1] a[3, 3] a[4, 3] 2 - a[1, 2] a[2, 2] a[3, 1] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 2] a[3, 1] a[3, 3] a[4, 1] 2 - a[1, 2] a[2, 2] a[3, 1] a[4, 1] a[4, 4] 2 + a[1, 2] a[2, 2] a[3, 3] a[3, 4] a[4, 1] 2 + a[1, 2] a[2, 2] a[3, 4] a[4, 1] a[4, 4] 2 + a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 2] - a[1, 2] a[2, 3] a[3, 1] a[3, 2] a[3, 3] a[4, 1] + a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 2] a[2, 3] a[3, 2] a[3, 4] a[4, 1] 2 + a[1, 2] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 2] a[2, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 3] + a[1, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 2] a[4, 4] 2 - a[1, 2] a[2, 4] a[3, 2] a[4, 1] a[4, 4] 2 + a[1, 2] a[3, 1] a[3, 3] a[4, 3] a[4, 4] 2 2 - a[1, 2] a[3, 1] a[3, 4] a[4, 3] 2 - a[1, 2] a[3, 1] a[3, 3] a[4, 1] a[4, 4] + a[1, 2] a[3, 1] a[3, 3] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[3, 1] a[3, 3] a[4, 1] a[4, 4] - a[1, 2] a[3, 1] a[3, 4] a[4, 1] a[4, 3] a[4, 4] 2 - a[1, 2] a[3, 3] a[3, 4] a[4, 1] a[4, 4] 2 2 + a[1, 2] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 1] a[3, 2] a[4, 3] + a[1, 3] a[2, 1] a[3, 1] a[3, 2] a[3, 3] a[4, 2] - a[1, 3] a[2, 1] a[3, 1] a[3, 2] a[4, 2] a[4, 4] 2 + a[1, 3] a[2, 1] a[3, 1] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 2] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[2, 2] a[3, 1] a[3, 2] a[3, 3] a[4, 1] + a[1, 3] a[2, 2] a[3, 1] a[3, 2] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 2] a[3, 2] a[3, 4] a[4, 1] 2 - a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 1] - a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 2] 2 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 1] 2 - a[1, 3] a[3, 1] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 3] + a[1, 3] a[3, 1] a[3, 2] a[3, 3] a[4, 1] a[4, 4] 2 - a[1, 3] a[3, 1] a[3, 2] a[4, 1] a[4, 4] - a[1, 3] a[3, 1] a[3, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 2] a[4, 4] 2 + a[1, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 4] 2 2 - a[1, 3] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 4] a[2, 1] a[3, 2] a[4, 1] a[4, 3] + a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 1] a[4, 2] - a[1, 4] a[2, 1] a[3, 2] a[4, 1] a[4, 2] a[4, 4] 2 + a[1, 4] a[2, 1] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 2] a[3, 1] a[4, 2] a[4, 3] - a[1, 4] a[2, 2] a[3, 1] a[3, 3] a[4, 1] a[4, 2] + a[1, 4] a[2, 2] a[3, 1] a[4, 1] a[4, 2] a[4, 4] 2 - a[1, 4] a[2, 2] a[3, 4] a[4, 1] a[4, 2] 2 2 - a[1, 4] a[2, 3] a[3, 1] a[4, 2] + a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 1] a[4, 2] 2 - a[1, 4] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 2] 2 2 + a[1, 4] a[3, 1] a[3, 2] a[4, 3] 2 - a[1, 4] a[3, 1] a[3, 3] a[4, 2] a[4, 3] - a[1, 4] a[3, 1] a[3, 2] a[3, 3] a[4, 1] a[4, 3] + a[1, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 3] a[4, 4] 2 + a[1, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 2] - a[1, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 2] a[4, 4] 2 - a[1, 4] a[3, 2] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 4] a[3, 3] a[3, 4] a[4, 1] a[4, 2]) X[2, 1] + ( -a[1, 2] a[2, 1] a[2, 3] a[3, 1] a[3, 2] a[4, 3] + a[1, 2] a[2, 1] a[2, 3] a[3, 1] a[3, 3] a[4, 2] - a[1, 2] a[2, 1] a[2, 3] a[3, 1] a[4, 2] a[4, 4] + a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 2] a[2, 1] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 3] 2 + a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[4, 3] - a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 1] + a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 2] a[2, 3] a[3, 4] a[4, 1] 2 2 - a[1, 2] a[2, 3] a[3, 1] a[4, 2] 2 + a[1, 2] a[2, 3] a[3, 1] a[3, 2] a[4, 1] - a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 1] 2 - a[1, 2] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 1] a[4, 1] a[4, 4] 2 + a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 4] 2 2 + a[1, 2] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 3] + a[1, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 3] 2 2 + a[1, 3] a[2, 1] a[3, 2] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 2] a[3, 3] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 2] a[4, 2] a[4, 4] 2 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 2] - a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[3, 2] a[4, 3] + a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[3, 3] a[4, 1] - a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[4, 1] a[4, 4] + a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 1] a[4, 2] + a[1, 3] a[2, 1] a[2, 3] a[3, 1] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 1] + a[1, 3] a[2, 1] a[3, 1] a[3, 2] a[4, 3] a[4, 4] - a[1, 3] a[2, 1] a[3, 1] a[3, 4] a[4, 2] a[4, 3] - a[1, 3] a[2, 1] a[3, 2] a[3, 3] a[4, 1] a[4, 4] + a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 3] a[2, 1] a[3, 2] a[4, 1] a[4, 4] - a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 2] a[4, 4] + a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] - a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 3] 2 + a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] - a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[4, 2] a[4, 3] + a[1, 4] a[2, 1] a[2, 2] a[3, 2] a[4, 1] a[4, 3] 2 + a[1, 4] a[2, 1] a[2, 3] a[3, 1] a[4, 2] - a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 1] a[4, 2] 2 - a[1, 4] a[2, 1] a[3, 1] a[3, 2] a[4, 3] + a[1, 4] a[2, 1] a[3, 1] a[3, 3] a[4, 2] a[4, 3] - a[1, 4] a[2, 1] a[3, 2] a[4, 1] a[4, 3] a[4, 4] + a[1, 4] a[2, 1] a[3, 4] a[4, 1] a[4, 2] a[4, 3] + a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 1] a[4, 3] - a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 1] a[4, 2] + a[1, 4] a[2, 3] a[3, 1] a[4, 1] a[4, 2] a[4, 4] 2 - a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 4] a[2, 4] a[3, 1] a[4, 1] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3]) X[3, 1] + X[4, 1] ( a[1, 2] a[2, 1] a[2, 3] a[3, 1] a[3, 4] a[4, 2] - a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[3, 4] a[4, 1] - a[1, 2] a[2, 1] a[2, 4] a[3, 1] a[3, 2] a[4, 3] + a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[3, 3] a[4, 1] - a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 4] + a[1, 2] a[2, 1] a[2, 4] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 1] + a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 2] a[2, 4] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 2] + a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 1] 2 + a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] - a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[3, 4] a[4, 1] + a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 4] 2 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 2 + a[1, 2] a[2, 4] a[3, 2] a[4, 1] 2 - a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 3] 2 + a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 1] - a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 1] - a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[3, 4] a[4, 2] + a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[3, 4] a[4, 1] + a[1, 3] a[2, 1] a[2, 4] a[3, 1] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 1] - a[1, 3] a[2, 1] a[3, 1] a[3, 2] a[3, 4] a[4, 3] + a[1, 3] a[2, 1] a[3, 1] a[3, 3] a[3, 4] a[4, 2] - a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] + a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[3, 4] a[4, 1] 2 + a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[3, 3] a[4, 1] + a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 4] - a[1, 3] a[2, 4] a[3, 1] a[3, 4] a[4, 1] a[4, 2] 2 2 + a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 2] 2 + a[1, 4] a[2, 1] a[3, 2] a[4, 2] a[4, 4] 2 2 - a[1, 4] a[2, 1] a[3, 4] a[4, 2] - a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[3, 2] a[4, 3] + a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[3, 3] a[4, 2] - a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[4, 2] a[4, 4] + a[1, 4] a[2, 1] a[2, 2] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 1] a[2, 4] a[3, 1] a[4, 2] - a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 2] + a[1, 4] a[2, 1] a[3, 1] a[3, 2] a[3, 3] a[4, 3] 2 - a[1, 4] a[2, 1] a[3, 1] a[3, 3] a[4, 2] + a[1, 4] a[2, 1] a[3, 1] a[3, 3] a[4, 2] a[4, 4] - a[1, 4] a[2, 1] a[3, 1] a[3, 4] a[4, 2] a[4, 3] + a[1, 4] a[2, 1] a[3, 2] a[3, 4] a[4, 1] a[4, 3] - a[1, 4] a[2, 1] a[3, 3] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] 2 - a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 4] + a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 4] a[2, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 3]) = 0 in Maple notation (-a[2,1]^3*a[3,2]^2*a[4,3]+a[2,1]^3*a[3,2]*a[3,3]*a[4,2]-a[2,1]^3*a[3,2]*a[4,2] *a[4,4]+a[2,1]^3*a[3,4]*a[4,2]^2+2*a[2,1]^2*a[2,2]*a[3,1]*a[3,2]*a[4,3]-a[2,1]^ 2*a[2,2]*a[3,1]*a[3,3]*a[4,2]+a[2,1]^2*a[2,2]*a[3,1]*a[4,2]*a[4,4]-a[2,1]^2*a[2 ,2]*a[3,2]*a[3,3]*a[4,1]+a[2,1]^2*a[2,2]*a[3,2]*a[4,1]*a[4,4]-2*a[2,1]^2*a[2,2] *a[3,4]*a[4,1]*a[4,2]-a[2,1]^2*a[2,3]*a[3,1]*a[3,2]*a[4,2]+a[2,1]^2*a[2,3]*a[3, 2]^2*a[4,1]-a[2,1]^2*a[2,4]*a[3,1]*a[4,2]^2+a[2,1]^2*a[2,4]*a[3,2]*a[4,1]*a[4,2 ]-a[2,1]^2*a[3,1]*a[3,2]*a[3,3]*a[4,3]-a[2,1]^2*a[3,1]*a[3,2]*a[4,3]*a[4,4]+a[2 ,1]^2*a[3,1]*a[3,3]^2*a[4,2]-a[2,1]^2*a[3,1]*a[3,3]*a[4,2]*a[4,4]+2*a[2,1]^2*a[ 3,1]*a[3,4]*a[4,2]*a[4,3]+a[2,1]^2*a[3,2]*a[3,3]*a[4,1]*a[4,4]-2*a[2,1]^2*a[3,2 ]*a[3,4]*a[4,1]*a[4,3]-a[2,1]^2*a[3,2]*a[4,1]*a[4,4]^2+a[2,1]^2*a[3,3]*a[3,4]*a [4,1]*a[4,2]+a[2,1]^2*a[3,4]*a[4,1]*a[4,2]*a[4,4]-a[2,1]*a[2,2]^2*a[3,1]^2*a[4, 3]+a[2,1]*a[2,2]^2*a[3,1]*a[3,3]*a[4,1]-a[2,1]*a[2,2]^2*a[3,1]*a[4,1]*a[4,4]+a[ 2,1]*a[2,2]^2*a[3,4]*a[4,1]^2+a[2,1]*a[2,2]*a[2,3]*a[3,1]^2*a[4,2]-a[2,1]*a[2,2 ]*a[2,3]*a[3,1]*a[3,2]*a[4,1]+a[2,1]*a[2,2]*a[2,4]*a[3,1]*a[4,1]*a[4,2]-a[2,1]* a[2,2]*a[2,4]*a[3,2]*a[4,1]^2+a[2,1]*a[2,2]*a[3,1]^2*a[3,3]*a[4,3]+a[2,1]*a[2,2 ]*a[3,1]^2*a[4,3]*a[4,4]-a[2,1]*a[2,2]*a[3,1]*a[3,3]^2*a[4,1]+a[2,1]*a[2,2]*a[3 ,1]*a[4,1]*a[4,4]^2-a[2,1]*a[2,2]*a[3,3]*a[3,4]*a[4,1]^2-a[2,1]*a[2,2]*a[3,4]*a [4,1]^2*a[4,4]+a[2,1]*a[2,3]*a[3,1]^2*a[3,2]*a[4,3]-2*a[2,1]*a[2,3]*a[3,1]^2*a[ 3,3]*a[4,2]+a[2,1]*a[2,3]*a[3,1]^2*a[4,2]*a[4,4]+a[2,1]*a[2,3]*a[3,1]*a[3,2]*a[ 3,3]*a[4,1]-3*a[2,1]*a[2,3]*a[3,1]*a[3,4]*a[4,1]*a[4,2]+2*a[2,1]*a[2,3]*a[3,2]* a[3,4]*a[4,1]^2-2*a[2,1]*a[2,4]*a[3,1]^2*a[4,2]*a[4,3]+3*a[2,1]*a[2,4]*a[3,1]*a [3,2]*a[4,1]*a[4,3]-a[2,1]*a[2,4]*a[3,1]*a[4,1]*a[4,2]*a[4,4]-a[2,1]*a[2,4]*a[3 ,2]*a[3,3]*a[4,1]^2+2*a[2,1]*a[2,4]*a[3,2]*a[4,1]^2*a[4,4]-a[2,1]*a[2,4]*a[3,4] *a[4,1]^2*a[4,2]-a[2,1]*a[3,1]^2*a[3,3]*a[4,3]*a[4,4]+a[2,1]*a[3,1]^2*a[3,4]*a[ 4,3]^2+a[2,1]*a[3,1]*a[3,3]^2*a[4,1]*a[4,4]-a[2,1]*a[3,1]*a[3,3]*a[3,4]*a[4,1]* a[4,3]-a[2,1]*a[3,1]*a[3,3]*a[4,1]*a[4,4]^2+a[2,1]*a[3,1]*a[3,4]*a[4,1]*a[4,3]* a[4,4]+a[2,1]*a[3,3]*a[3,4]*a[4,1]^2*a[4,4]-a[2,1]*a[3,4]^2*a[4,1]^2*a[4,3]-a[2 ,2]*a[2,3]*a[3,1]^3*a[4,3]+a[2,2]*a[2,3]*a[3,1]^2*a[3,3]*a[4,1]-a[2,2]*a[2,3]*a [3,1]^2*a[4,1]*a[4,4]+a[2,2]*a[2,3]*a[3,1]*a[3,4]*a[4,1]^2-a[2,2]*a[2,4]*a[3,1] ^2*a[4,1]*a[4,3]+a[2,2]*a[2,4]*a[3,1]*a[3,3]*a[4,1]^2-a[2,2]*a[2,4]*a[3,1]*a[4, 1]^2*a[4,4]+a[2,2]*a[2,4]*a[3,4]*a[4,1]^3+a[2,3]^2*a[3,1]^3*a[4,2]-a[2,3]^2*a[3 ,1]^2*a[3,2]*a[4,1]+2*a[2,3]*a[2,4]*a[3,1]^2*a[4,1]*a[4,2]-2*a[2,3]*a[2,4]*a[3, 1]*a[3,2]*a[4,1]^2+a[2,3]*a[3,1]^3*a[4,3]*a[4,4]-a[2,3]*a[3,1]^2*a[3,3]*a[4,1]* a[4,4]-a[2,3]*a[3,1]^2*a[3,4]*a[4,1]*a[4,3]+a[2,3]*a[3,1]^2*a[4,1]*a[4,4]^2+a[2 ,3]*a[3,1]*a[3,3]*a[3,4]*a[4,1]^2-2*a[2,3]*a[3,1]*a[3,4]*a[4,1]^2*a[4,4]+a[2,3] *a[3,4]^2*a[4,1]^3+a[2,4]^2*a[3,1]*a[4,1]^2*a[4,2]-a[2,4]^2*a[3,2]*a[4,1]^3-a[2 ,4]*a[3,1]^3*a[4,3]^2+2*a[2,4]*a[3,1]^2*a[3,3]*a[4,1]*a[4,3]-a[2,4]*a[3,1]^2*a[ 4,1]*a[4,3]*a[4,4]-a[2,4]*a[3,1]*a[3,3]^2*a[4,1]^2+a[2,4]*a[3,1]*a[3,3]*a[4,1]^ 2*a[4,4]+a[2,4]*a[3,1]*a[3,4]*a[4,1]^2*a[4,3]-a[2,4]*a[3,3]*a[3,4]*a[4,1]^3)*X[ 1,2]+(a[1,2]*a[2,1]^2*a[3,2]^2*a[4,3]-a[1,2]*a[2,1]^2*a[3,2]*a[3,3]*a[4,2]+a[1, 2]*a[2,1]^2*a[3,2]*a[4,2]*a[4,4]-a[1,2]*a[2,1]^2*a[3,4]*a[4,2]^2-2*a[1,2]*a[2,1 ]*a[2,2]*a[3,1]*a[3,2]*a[4,3]+a[1,2]*a[2,1]*a[2,2]*a[3,1]*a[3,3]*a[4,2]-a[1,2]* a[2,1]*a[2,2]*a[3,1]*a[4,2]*a[4,4]+a[1,2]*a[2,1]*a[2,2]*a[3,2]*a[3,3]*a[4,1]-a[ 1,2]*a[2,1]*a[2,2]*a[3,2]*a[4,1]*a[4,4]+2*a[1,2]*a[2,1]*a[2,2]*a[3,4]*a[4,1]*a[ 4,2]+a[1,2]*a[2,1]*a[2,3]*a[3,1]*a[3,2]*a[4,2]-a[1,2]*a[2,1]*a[2,3]*a[3,2]^2*a[ 4,1]+a[1,2]*a[2,1]*a[2,4]*a[3,1]*a[4,2]^2-a[1,2]*a[2,1]*a[2,4]*a[3,2]*a[4,1]*a[ 4,2]+a[1,2]*a[2,1]*a[3,1]*a[3,2]*a[3,3]*a[4,3]+a[1,2]*a[2,1]*a[3,1]*a[3,2]*a[4, 3]*a[4,4]-a[1,2]*a[2,1]*a[3,1]*a[3,3]^2*a[4,2]+a[1,2]*a[2,1]*a[3,1]*a[3,3]*a[4, 2]*a[4,4]-2*a[1,2]*a[2,1]*a[3,1]*a[3,4]*a[4,2]*a[4,3]-a[1,2]*a[2,1]*a[3,2]*a[3, 3]*a[4,1]*a[4,4]+2*a[1,2]*a[2,1]*a[3,2]*a[3,4]*a[4,1]*a[4,3]+a[1,2]*a[2,1]*a[3, 2]*a[4,1]*a[4,4]^2-a[1,2]*a[2,1]*a[3,3]*a[3,4]*a[4,1]*a[4,2]-a[1,2]*a[2,1]*a[3, 4]*a[4,1]*a[4,2]*a[4,4]+a[1,2]*a[2,2]^2*a[3,1]^2*a[4,3]-a[1,2]*a[2,2]^2*a[3,1]* a[3,3]*a[4,1]+a[1,2]*a[2,2]^2*a[3,1]*a[4,1]*a[4,4]-a[1,2]*a[2,2]^2*a[3,4]*a[4,1 ]^2-a[1,2]*a[2,2]*a[2,3]*a[3,1]^2*a[4,2]+a[1,2]*a[2,2]*a[2,3]*a[3,1]*a[3,2]*a[4 ,1]-a[1,2]*a[2,2]*a[2,4]*a[3,1]*a[4,1]*a[4,2]+a[1,2]*a[2,2]*a[2,4]*a[3,2]*a[4,1 ]^2-a[1,2]*a[2,2]*a[3,1]^2*a[3,3]*a[4,3]-a[1,2]*a[2,2]*a[3,1]^2*a[4,3]*a[4,4]+a [1,2]*a[2,2]*a[3,1]*a[3,3]^2*a[4,1]-a[1,2]*a[2,2]*a[3,1]*a[4,1]*a[4,4]^2+a[1,2] *a[2,2]*a[3,3]*a[3,4]*a[4,1]^2+a[1,2]*a[2,2]*a[3,4]*a[4,1]^2*a[4,4]+a[1,2]*a[2, 3]*a[3,1]^2*a[3,3]*a[4,2]-a[1,2]*a[2,3]*a[3,1]*a[3,2]*a[3,3]*a[4,1]+a[1,2]*a[2, 3]*a[3,1]*a[3,4]*a[4,1]*a[4,2]-a[1,2]*a[2,3]*a[3,2]*a[3,4]*a[4,1]^2+a[1,2]*a[2, 4]*a[3,1]^2*a[4,2]*a[4,3]-a[1,2]*a[2,4]*a[3,1]*a[3,2]*a[4,1]*a[4,3]+a[1,2]*a[2, 4]*a[3,1]*a[4,1]*a[4,2]*a[4,4]-a[1,2]*a[2,4]*a[3,2]*a[4,1]^2*a[4,4]+a[1,2]*a[3, 1]^2*a[3,3]*a[4,3]*a[4,4]-a[1,2]*a[3,1]^2*a[3,4]*a[4,3]^2-a[1,2]*a[3,1]*a[3,3]^ 2*a[4,1]*a[4,4]+a[1,2]*a[3,1]*a[3,3]*a[3,4]*a[4,1]*a[4,3]+a[1,2]*a[3,1]*a[3,3]* a[4,1]*a[4,4]^2-a[1,2]*a[3,1]*a[3,4]*a[4,1]*a[4,3]*a[4,4]-a[1,2]*a[3,3]*a[3,4]* a[4,1]^2*a[4,4]+a[1,2]*a[3,4]^2*a[4,1]^2*a[4,3]-a[1,3]*a[2,1]*a[3,1]*a[3,2]^2*a [4,3]+a[1,3]*a[2,1]*a[3,1]*a[3,2]*a[3,3]*a[4,2]-a[1,3]*a[2,1]*a[3,1]*a[3,2]*a[4 ,2]*a[4,4]+a[1,3]*a[2,1]*a[3,1]*a[3,4]*a[4,2]^2+a[1,3]*a[2,2]*a[3,1]^2*a[3,2]*a [4,3]-a[1,3]*a[2,2]*a[3,1]*a[3,2]*a[3,3]*a[4,1]+a[1,3]*a[2,2]*a[3,1]*a[3,2]*a[4 ,1]*a[4,4]-a[1,3]*a[2,2]*a[3,2]*a[3,4]*a[4,1]^2-a[1,3]*a[2,3]*a[3,1]^2*a[3,2]*a [4,2]+a[1,3]*a[2,3]*a[3,1]*a[3,2]^2*a[4,1]-a[1,3]*a[2,4]*a[3,1]*a[3,2]*a[4,1]*a [4,2]+a[1,3]*a[2,4]*a[3,2]^2*a[4,1]^2-a[1,3]*a[3,1]^2*a[3,2]*a[4,3]*a[4,4]+a[1, 3]*a[3,1]^2*a[3,4]*a[4,2]*a[4,3]+a[1,3]*a[3,1]*a[3,2]*a[3,3]*a[4,1]*a[4,4]-a[1, 3]*a[3,1]*a[3,2]*a[4,1]*a[4,4]^2-a[1,3]*a[3,1]*a[3,3]*a[3,4]*a[4,1]*a[4,2]+a[1, 3]*a[3,1]*a[3,4]*a[4,1]*a[4,2]*a[4,4]+a[1,3]*a[3,2]*a[3,4]*a[4,1]^2*a[4,4]-a[1, 3]*a[3,4]^2*a[4,1]^2*a[4,2]-a[1,4]*a[2,1]*a[3,2]^2*a[4,1]*a[4,3]+a[1,4]*a[2,1]* a[3,2]*a[3,3]*a[4,1]*a[4,2]-a[1,4]*a[2,1]*a[3,2]*a[4,1]*a[4,2]*a[4,4]+a[1,4]*a[ 2,1]*a[3,4]*a[4,1]*a[4,2]^2+a[1,4]*a[2,2]*a[3,1]^2*a[4,2]*a[4,3]-a[1,4]*a[2,2]* a[3,1]*a[3,3]*a[4,1]*a[4,2]+a[1,4]*a[2,2]*a[3,1]*a[4,1]*a[4,2]*a[4,4]-a[1,4]*a[ 2,2]*a[3,4]*a[4,1]^2*a[4,2]-a[1,4]*a[2,3]*a[3,1]^2*a[4,2]^2+a[1,4]*a[2,3]*a[3,1 ]*a[3,2]*a[4,1]*a[4,2]-a[1,4]*a[2,4]*a[3,1]*a[4,1]*a[4,2]^2+a[1,4]*a[2,4]*a[3,2 ]*a[4,1]^2*a[4,2]+a[1,4]*a[3,1]^2*a[3,2]*a[4,3]^2-a[1,4]*a[3,1]^2*a[3,3]*a[4,2] *a[4,3]-a[1,4]*a[3,1]*a[3,2]*a[3,3]*a[4,1]*a[4,3]+a[1,4]*a[3,1]*a[3,2]*a[4,1]*a [4,3]*a[4,4]+a[1,4]*a[3,1]*a[3,3]^2*a[4,1]*a[4,2]-a[1,4]*a[3,1]*a[3,3]*a[4,1]*a [4,2]*a[4,4]-a[1,4]*a[3,2]*a[3,4]*a[4,1]^2*a[4,3]+a[1,4]*a[3,3]*a[3,4]*a[4,1]^2 *a[4,2])*X[2,1]+(-a[1,2]*a[2,1]*a[2,3]*a[3,1]*a[3,2]*a[4,3]+a[1,2]*a[2,1]*a[2,3 ]*a[3,1]*a[3,3]*a[4,2]-a[1,2]*a[2,1]*a[2,3]*a[3,1]*a[4,2]*a[4,4]+a[1,2]*a[2,1]* a[2,3]*a[3,4]*a[4,1]*a[4,2]+a[1,2]*a[2,1]*a[2,4]*a[3,1]*a[4,2]*a[4,3]-a[1,2]*a[ 2,1]*a[2,4]*a[3,2]*a[4,1]*a[4,3]+a[1,2]*a[2,2]*a[2,3]*a[3,1]^2*a[4,3]-a[1,2]*a[ 2,2]*a[2,3]*a[3,1]*a[3,3]*a[4,1]+a[1,2]*a[2,2]*a[2,3]*a[3,1]*a[4,1]*a[4,4]-a[1, 2]*a[2,2]*a[2,3]*a[3,4]*a[4,1]^2-a[1,2]*a[2,3]^2*a[3,1]^2*a[4,2]+a[1,2]*a[2,3]^ 2*a[3,1]*a[3,2]*a[4,1]-a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[4,1]*a[4,2]+a[1,2]*a[2,3]* a[2,4]*a[3,2]*a[4,1]^2-a[1,2]*a[2,3]*a[3,1]^2*a[4,3]*a[4,4]+a[1,2]*a[2,3]*a[3,1 ]*a[3,3]*a[4,1]*a[4,4]-a[1,2]*a[2,3]*a[3,1]*a[4,1]*a[4,4]^2+a[1,2]*a[2,3]*a[3,4 ]*a[4,1]^2*a[4,4]+a[1,2]*a[2,4]*a[3,1]^2*a[4,3]^2-a[1,2]*a[2,4]*a[3,1]*a[3,3]*a [4,1]*a[4,3]+a[1,2]*a[2,4]*a[3,1]*a[4,1]*a[4,3]*a[4,4]-a[1,2]*a[2,4]*a[3,4]*a[4 ,1]^2*a[4,3]+a[1,3]*a[2,1]^2*a[3,2]^2*a[4,3]-a[1,3]*a[2,1]^2*a[3,2]*a[3,3]*a[4, 2]+a[1,3]*a[2,1]^2*a[3,2]*a[4,2]*a[4,4]-a[1,3]*a[2,1]^2*a[3,4]*a[4,2]^2-a[1,3]* a[2,1]*a[2,2]*a[3,1]*a[3,2]*a[4,3]+a[1,3]*a[2,1]*a[2,2]*a[3,2]*a[3,3]*a[4,1]-a[ 1,3]*a[2,1]*a[2,2]*a[3,2]*a[4,1]*a[4,4]+a[1,3]*a[2,1]*a[2,2]*a[3,4]*a[4,1]*a[4, 2]+a[1,3]*a[2,1]*a[2,3]*a[3,1]*a[3,2]*a[4,2]-a[1,3]*a[2,1]*a[2,3]*a[3,2]^2*a[4, 1]+a[1,3]*a[2,1]*a[3,1]*a[3,2]*a[4,3]*a[4,4]-a[1,3]*a[2,1]*a[3,1]*a[3,4]*a[4,2] *a[4,3]-a[1,3]*a[2,1]*a[3,2]*a[3,3]*a[4,1]*a[4,4]+a[1,3]*a[2,1]*a[3,2]*a[3,4]*a [4,1]*a[4,3]+a[1,3]*a[2,1]*a[3,2]*a[4,1]*a[4,4]^2-a[1,3]*a[2,1]*a[3,4]*a[4,1]*a [4,2]*a[4,4]+a[1,3]*a[2,3]*a[3,1]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[2,3]*a[3,2]*a[3 ,4]*a[4,1]^2-a[1,3]*a[2,4]*a[3,1]*a[3,2]*a[4,1]*a[4,3]+a[1,3]*a[2,4]*a[3,2]*a[3 ,3]*a[4,1]^2-a[1,3]*a[2,4]*a[3,2]*a[4,1]^2*a[4,4]+a[1,3]*a[2,4]*a[3,4]*a[4,1]^2 *a[4,2]-a[1,4]*a[2,1]*a[2,2]*a[3,1]*a[4,2]*a[4,3]+a[1,4]*a[2,1]*a[2,2]*a[3,2]*a [4,1]*a[4,3]+a[1,4]*a[2,1]*a[2,3]*a[3,1]*a[4,2]^2-a[1,4]*a[2,1]*a[2,3]*a[3,2]*a [4,1]*a[4,2]-a[1,4]*a[2,1]*a[3,1]*a[3,2]*a[4,3]^2+a[1,4]*a[2,1]*a[3,1]*a[3,3]*a [4,2]*a[4,3]-a[1,4]*a[2,1]*a[3,2]*a[4,1]*a[4,3]*a[4,4]+a[1,4]*a[2,1]*a[3,4]*a[4 ,1]*a[4,2]*a[4,3]+a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,1]*a[4,3]-a[1,4]*a[2,3]*a[3,1 ]*a[3,3]*a[4,1]*a[4,2]+a[1,4]*a[2,3]*a[3,1]*a[4,1]*a[4,2]*a[4,4]-a[1,4]*a[2,3]* a[3,4]*a[4,1]^2*a[4,2]-a[1,4]*a[2,4]*a[3,1]*a[4,1]*a[4,2]*a[4,3]+a[1,4]*a[2,4]* a[3,2]*a[4,1]^2*a[4,3])*X[3,1]+X[4,1]*(a[1,2]*a[2,1]*a[2,3]*a[3,1]*a[3,4]*a[4,2 ]-a[1,2]*a[2,1]*a[2,3]*a[3,2]*a[3,4]*a[4,1]-a[1,2]*a[2,1]*a[2,4]*a[3,1]*a[3,2]* a[4,3]+a[1,2]*a[2,1]*a[2,4]*a[3,2]*a[3,3]*a[4,1]-a[1,2]*a[2,1]*a[2,4]*a[3,2]*a[ 4,1]*a[4,4]+a[1,2]*a[2,1]*a[2,4]*a[3,4]*a[4,1]*a[4,2]+a[1,2]*a[2,2]*a[2,4]*a[3, 1]^2*a[4,3]-a[1,2]*a[2,2]*a[2,4]*a[3,1]*a[3,3]*a[4,1]+a[1,2]*a[2,2]*a[2,4]*a[3, 1]*a[4,1]*a[4,4]-a[1,2]*a[2,2]*a[2,4]*a[3,4]*a[4,1]^2-a[1,2]*a[2,3]*a[2,4]*a[3, 1]^2*a[4,2]+a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[3,2]*a[4,1]+a[1,2]*a[2,3]*a[3,1]^2*a[ 3,4]*a[4,3]-a[1,2]*a[2,3]*a[3,1]*a[3,3]*a[3,4]*a[4,1]+a[1,2]*a[2,3]*a[3,1]*a[3, 4]*a[4,1]*a[4,4]-a[1,2]*a[2,3]*a[3,4]^2*a[4,1]^2-a[1,2]*a[2,4]^2*a[3,1]*a[4,1]* a[4,2]+a[1,2]*a[2,4]^2*a[3,2]*a[4,1]^2-a[1,2]*a[2,4]*a[3,1]^2*a[3,3]*a[4,3]+a[1 ,2]*a[2,4]*a[3,1]*a[3,3]^2*a[4,1]-a[1,2]*a[2,4]*a[3,1]*a[3,3]*a[4,1]*a[4,4]+a[1 ,2]*a[2,4]*a[3,3]*a[3,4]*a[4,1]^2-a[1,3]*a[2,1]*a[2,2]*a[3,1]*a[3,4]*a[4,2]+a[1 ,3]*a[2,1]*a[2,2]*a[3,2]*a[3,4]*a[4,1]+a[1,3]*a[2,1]*a[2,4]*a[3,1]*a[3,2]*a[4,2 ]-a[1,3]*a[2,1]*a[2,4]*a[3,2]^2*a[4,1]-a[1,3]*a[2,1]*a[3,1]*a[3,2]*a[3,4]*a[4,3 ]+a[1,3]*a[2,1]*a[3,1]*a[3,3]*a[3,4]*a[4,2]-a[1,3]*a[2,1]*a[3,2]*a[3,4]*a[4,1]* a[4,4]+a[1,3]*a[2,1]*a[3,4]^2*a[4,1]*a[4,2]-a[1,3]*a[2,3]*a[3,1]^2*a[3,4]*a[4,2 ]+a[1,3]*a[2,3]*a[3,1]*a[3,2]*a[3,4]*a[4,1]+a[1,3]*a[2,4]*a[3,1]^2*a[3,2]*a[4,3 ]-a[1,3]*a[2,4]*a[3,1]*a[3,2]*a[3,3]*a[4,1]+a[1,3]*a[2,4]*a[3,1]*a[3,2]*a[4,1]* a[4,4]-a[1,3]*a[2,4]*a[3,1]*a[3,4]*a[4,1]*a[4,2]+a[1,4]*a[2,1]^2*a[3,2]^2*a[4,3 ]-a[1,4]*a[2,1]^2*a[3,2]*a[3,3]*a[4,2]+a[1,4]*a[2,1]^2*a[3,2]*a[4,2]*a[4,4]-a[1 ,4]*a[2,1]^2*a[3,4]*a[4,2]^2-a[1,4]*a[2,1]*a[2,2]*a[3,1]*a[3,2]*a[4,3]+a[1,4]*a [2,1]*a[2,2]*a[3,1]*a[3,3]*a[4,2]-a[1,4]*a[2,1]*a[2,2]*a[3,1]*a[4,2]*a[4,4]+a[1 ,4]*a[2,1]*a[2,2]*a[3,4]*a[4,1]*a[4,2]+a[1,4]*a[2,1]*a[2,4]*a[3,1]*a[4,2]^2-a[1 ,4]*a[2,1]*a[2,4]*a[3,2]*a[4,1]*a[4,2]+a[1,4]*a[2,1]*a[3,1]*a[3,2]*a[3,3]*a[4,3 ]-a[1,4]*a[2,1]*a[3,1]*a[3,3]^2*a[4,2]+a[1,4]*a[2,1]*a[3,1]*a[3,3]*a[4,2]*a[4,4 ]-a[1,4]*a[2,1]*a[3,1]*a[3,4]*a[4,2]*a[4,3]+a[1,4]*a[2,1]*a[3,2]*a[3,4]*a[4,1]* a[4,3]-a[1,4]*a[2,1]*a[3,3]*a[3,4]*a[4,1]*a[4,2]-a[1,4]*a[2,3]*a[3,1]^2*a[3,2]* a[4,3]+a[1,4]*a[2,3]*a[3,1]^2*a[3,3]*a[4,2]-a[1,4]*a[2,3]*a[3,1]^2*a[4,2]*a[4,4 ]+a[1,4]*a[2,3]*a[3,1]*a[3,4]*a[4,1]*a[4,2]+a[1,4]*a[2,4]*a[3,1]^2*a[4,2]*a[4,3 ]-a[1,4]*a[2,4]*a[3,1]*a[3,2]*a[4,1]*a[4,3]) = 0 ------------------------------------ Theorem number, 23, : let, {X[1, 2], X[2, 1], X[3, 1], X[4, 2]}, be the entri\ es of an ARBITRARY power of the general matrix M, we always have the lin\ ear relation 2 2 2 (a[1, 1] a[2, 1] a[3, 2] a[4, 3] - a[1, 1] a[2, 1] a[3, 2] a[3, 3] a[4, 2] 2 + a[1, 1] a[2, 1] a[3, 2] a[4, 2] a[4, 4] 2 2 - a[1, 1] a[2, 1] a[3, 4] a[4, 2] - a[1, 1] a[2, 1] a[2, 2] a[3, 1] a[3, 2] a[4, 3] + a[1, 1] a[2, 1] a[2, 2] a[3, 1] a[3, 3] a[4, 2] - a[1, 1] a[2, 1] a[2, 2] a[3, 1] a[4, 2] a[4, 4] + a[1, 1] a[2, 1] a[2, 2] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 1] a[2, 1] a[2, 4] a[3, 1] a[4, 2] - a[1, 1] a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 2] + a[1, 1] a[2, 1] a[3, 1] a[3, 2] a[3, 3] a[4, 3] 2 - a[1, 1] a[2, 1] a[3, 1] a[3, 3] a[4, 2] + a[1, 1] a[2, 1] a[3, 1] a[3, 3] a[4, 2] a[4, 4] - a[1, 1] a[2, 1] a[3, 1] a[3, 4] a[4, 2] a[4, 3] + a[1, 1] a[2, 1] a[3, 2] a[3, 4] a[4, 1] a[4, 3] - a[1, 1] a[2, 1] a[3, 3] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 1] a[2, 3] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 1] a[2, 3] a[3, 1] a[3, 3] a[4, 2] 2 - a[1, 1] a[2, 3] a[3, 1] a[4, 2] a[4, 4] + a[1, 1] a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 1] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 1] a[2, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 1] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 2] a[2, 1] a[3, 2] a[3, 3] a[4, 1] 2 - a[1, 2] a[2, 1] a[3, 2] a[4, 1] a[4, 4] 2 + a[1, 2] a[2, 1] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 2] a[2, 1] a[2, 2] a[3, 1] a[4, 3] - a[1, 2] a[2, 1] a[2, 2] a[3, 1] a[3, 3] a[4, 1] + a[1, 2] a[2, 1] a[2, 2] a[3, 1] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 1] a[2, 2] a[3, 4] a[4, 1] - a[1, 2] a[2, 1] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 + a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 1] 2 - a[1, 2] a[2, 1] a[3, 1] a[3, 3] a[4, 3] 2 + a[1, 2] a[2, 1] a[3, 1] a[3, 3] a[4, 1] - a[1, 2] a[2, 1] a[3, 1] a[3, 3] a[4, 1] a[4, 4] 2 + a[1, 2] a[2, 1] a[3, 3] a[3, 4] a[4, 1] 3 + a[1, 2] a[2, 3] a[3, 1] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 1] 2 + a[1, 2] a[2, 3] a[3, 1] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 1] 2 + a[1, 3] a[2, 1] a[3, 1] a[3, 2] a[4, 2] 2 2 - a[1, 3] a[2, 1] a[3, 2] a[4, 1] 2 - a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[4, 2] + a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[3, 2] a[4, 1] 2 + a[1, 3] a[2, 1] a[3, 1] a[3, 3] a[4, 2] - a[1, 3] a[2, 1] a[3, 1] a[3, 2] a[3, 3] a[4, 1] + a[1, 3] a[2, 1] a[3, 1] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 1] 3 - a[1, 3] a[2, 3] a[3, 1] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 + a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 1] 2 2 - a[2, 1] a[3, 2] a[4, 3] a[4, 4] 2 + a[2, 1] a[3, 2] a[3, 3] a[4, 2] a[4, 4] 2 2 2 2 - a[2, 1] a[3, 2] a[4, 2] a[4, 4] + a[2, 1] a[3, 4] a[4, 2] a[4, 4] + a[2, 1] a[2, 2] a[3, 1] a[3, 2] a[4, 3] a[4, 4] - a[2, 1] a[2, 2] a[3, 1] a[3, 3] a[4, 2] a[4, 4] + a[2, 1] a[2, 2] a[3, 1] a[3, 4] a[4, 2] a[4, 3] 2 + a[2, 1] a[2, 2] a[3, 1] a[4, 2] a[4, 4] - a[2, 1] a[2, 2] a[3, 2] a[3, 4] a[4, 1] a[4, 3] - a[2, 1] a[2, 2] a[3, 4] a[4, 1] a[4, 2] a[4, 4] 2 - a[2, 1] a[2, 3] a[3, 1] a[3, 4] a[4, 2] + a[2, 1] a[2, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 2] 2 - a[2, 1] a[2, 4] a[3, 1] a[4, 2] a[4, 4] 2 + a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 3] - a[2, 1] a[2, 4] a[3, 2] a[3, 3] a[4, 1] a[4, 2] + 2 a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 2] a[4, 4] 2 - a[2, 1] a[2, 4] a[3, 4] a[4, 1] a[4, 2] - a[2, 1] a[3, 1] a[3, 2] a[3, 3] a[4, 3] a[4, 4] 2 + a[2, 1] a[3, 1] a[3, 2] a[3, 4] a[4, 3] 2 + a[2, 1] a[3, 1] a[3, 3] a[4, 2] a[4, 4] - a[2, 1] a[3, 1] a[3, 3] a[3, 4] a[4, 2] a[4, 3] 2 - a[2, 1] a[3, 1] a[3, 3] a[4, 2] a[4, 4] + a[2, 1] a[3, 1] a[3, 4] a[4, 2] a[4, 3] a[4, 4] + a[2, 1] a[3, 3] a[3, 4] a[4, 1] a[4, 2] a[4, 4] 2 - a[2, 1] a[3, 4] a[4, 1] a[4, 2] a[4, 3] 2 - a[2, 2] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[2, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 2] - a[2, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 2] a[4, 4] 2 + a[2, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 2] 2 2 + a[2, 3] a[2, 4] a[3, 1] a[4, 2] - a[2, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 2] 2 + a[2, 3] a[3, 1] a[3, 2] a[4, 3] a[4, 4] 2 - a[2, 3] a[3, 1] a[3, 3] a[4, 2] a[4, 4] 2 2 + a[2, 3] a[3, 1] a[4, 2] a[4, 4] - a[2, 3] a[3, 1] a[3, 2] a[3, 4] a[4, 1] a[4, 3] + a[2, 3] a[3, 1] a[3, 3] a[3, 4] a[4, 1] a[4, 2] - 2 a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 2] a[4, 4] 2 2 2 2 + a[2, 3] a[3, 4] a[4, 1] a[4, 2] + a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 2 2 2 - a[2, 4] a[3, 2] a[4, 1] a[4, 2] - a[2, 4] a[3, 1] a[3, 2] a[4, 3] 2 + a[2, 4] a[3, 1] a[3, 3] a[4, 2] a[4, 3] 2 - a[2, 4] a[3, 1] a[4, 2] a[4, 3] a[4, 4] + a[2, 4] a[3, 1] a[3, 2] a[3, 3] a[4, 1] a[4, 3] 2 - a[2, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 2] + a[2, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 2] a[4, 4] + a[2, 4] a[3, 1] a[3, 4] a[4, 1] a[4, 2] a[4, 3] 2 - a[2, 4] a[3, 3] a[3, 4] a[4, 1] a[4, 2]) X[1, 2] + ( 2 -a[1, 1] a[1, 2] a[2, 1] a[3, 2] a[4, 3] + a[1, 1] a[1, 2] a[2, 1] a[3, 2] a[3, 3] a[4, 2] - a[1, 1] a[1, 2] a[2, 1] a[3, 2] a[4, 2] a[4, 4] 2 + a[1, 1] a[1, 2] a[2, 1] a[3, 4] a[4, 2] + a[1, 1] a[1, 2] a[2, 2] a[3, 1] a[3, 2] a[4, 3] - a[1, 1] a[1, 2] a[2, 2] a[3, 1] a[3, 3] a[4, 2] + a[1, 1] a[1, 2] a[2, 2] a[3, 1] a[4, 2] a[4, 4] - a[1, 1] a[1, 2] a[2, 2] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 1] a[1, 2] a[2, 4] a[3, 1] a[4, 2] + a[1, 1] a[1, 2] a[2, 4] a[3, 2] a[4, 1] a[4, 2] - a[1, 1] a[1, 2] a[3, 1] a[3, 2] a[3, 3] a[4, 3] 2 + a[1, 1] a[1, 2] a[3, 1] a[3, 3] a[4, 2] - a[1, 1] a[1, 2] a[3, 1] a[3, 3] a[4, 2] a[4, 4] + a[1, 1] a[1, 2] a[3, 1] a[3, 4] a[4, 2] a[4, 3] - a[1, 1] a[1, 2] a[3, 2] a[3, 4] a[4, 1] a[4, 3] + a[1, 1] a[1, 2] a[3, 3] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 1] a[1, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[3, 1] a[3, 2] a[3, 3] a[4, 2] + a[1, 1] a[1, 3] a[3, 1] a[3, 2] a[4, 2] a[4, 4] 2 - a[1, 1] a[1, 3] a[3, 1] a[3, 4] a[4, 2] 2 + a[1, 2] a[2, 1] a[3, 1] a[3, 2] a[4, 3] 2 - a[1, 2] a[2, 1] a[3, 2] a[3, 3] a[4, 1] 2 + a[1, 2] a[2, 1] a[3, 2] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 1] a[3, 4] a[4, 1] a[4, 2] 2 2 - a[1, 2] a[2, 2] a[3, 1] a[4, 3] 2 + a[1, 2] a[2, 2] a[3, 1] a[3, 3] a[4, 1] 2 - a[1, 2] a[2, 2] a[3, 1] a[4, 1] a[4, 4] 2 2 + a[1, 2] a[2, 2] a[3, 4] a[4, 1] 2 + a[1, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 2 2 2 - a[1, 2] a[2, 4] a[3, 2] a[4, 1] + a[1, 2] a[3, 1] a[3, 3] a[4, 3] 2 2 - a[1, 2] a[3, 1] a[3, 3] a[4, 1] 2 + a[1, 2] a[3, 1] a[3, 3] a[4, 1] a[4, 4] 2 2 - a[1, 2] a[3, 3] a[3, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 1] a[3, 1] a[3, 2] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 2] a[3, 1] a[3, 2] a[4, 1] 2 - a[1, 2] a[1, 3] a[3, 1] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[3, 1] a[3, 3] a[4, 2] + 2 a[1, 2] a[1, 3] a[3, 1] a[3, 2] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[3, 1] a[3, 2] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[3, 2] a[3, 4] a[4, 1] 2 - a[1, 2] a[1, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 3] 2 + a[1, 2] a[2, 1] a[3, 2] a[4, 3] a[4, 4] - a[1, 2] a[2, 1] a[3, 2] a[3, 3] a[4, 2] a[4, 4] 2 + a[1, 2] a[2, 1] a[3, 2] a[4, 2] a[4, 4] 2 - a[1, 2] a[2, 1] a[3, 4] a[4, 2] a[4, 4] - a[1, 2] a[2, 2] a[3, 1] a[3, 2] a[4, 3] a[4, 4] + a[1, 2] a[2, 2] a[3, 1] a[3, 3] a[4, 2] a[4, 4] - a[1, 2] a[2, 2] a[3, 1] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[2, 2] a[3, 1] a[4, 2] a[4, 4] + a[1, 2] a[2, 2] a[3, 2] a[3, 4] a[4, 1] a[4, 3] + a[1, 2] a[2, 2] a[3, 4] a[4, 1] a[4, 2] a[4, 4] + a[1, 2] a[2, 4] a[3, 1] a[3, 2] a[4, 2] a[4, 3] 2 + a[1, 2] a[2, 4] a[3, 1] a[4, 2] a[4, 4] 2 - a[1, 2] a[2, 4] a[3, 2] a[4, 1] a[4, 3] - a[1, 2] a[2, 4] a[3, 2] a[4, 1] a[4, 2] a[4, 4] + a[1, 2] a[3, 1] a[3, 2] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[3, 1] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 2] a[3, 1] a[3, 3] a[4, 2] a[4, 4] + a[1, 2] a[3, 1] a[3, 3] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[3, 1] a[3, 3] a[4, 2] a[4, 4] - a[1, 2] a[3, 1] a[3, 4] a[4, 2] a[4, 3] a[4, 4] - a[1, 2] a[3, 3] a[3, 4] a[4, 1] a[4, 2] a[4, 4] 2 + a[1, 2] a[3, 4] a[4, 1] a[4, 2] a[4, 3] 2 2 2 2 + a[1, 3] a[3, 1] a[3, 2] a[4, 2] - a[1, 3] a[3, 1] a[3, 2] a[4, 1] 2 2 + a[1, 3] a[1, 4] a[3, 1] a[4, 2] - a[1, 3] a[1, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 2] 2 + a[1, 3] a[2, 2] a[3, 1] a[3, 4] a[4, 2] - a[1, 3] a[2, 2] a[3, 2] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 2] 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 2] 2 - a[1, 3] a[3, 1] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[3, 1] a[3, 2] a[3, 3] a[4, 2] a[4, 4] + a[1, 3] a[3, 1] a[3, 2] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 3] a[3, 1] a[3, 2] a[4, 2] a[4, 4] 2 - a[1, 3] a[3, 1] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 4] + a[1, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 2] a[4, 4] 2 2 - a[1, 3] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 4] a[2, 1] a[3, 2] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 2] 2 - a[1, 4] a[2, 1] a[3, 2] a[4, 2] a[4, 4] 3 + a[1, 4] a[2, 1] a[3, 4] a[4, 2] + a[1, 4] a[2, 2] a[3, 1] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 2] a[3, 1] a[3, 3] a[4, 2] 2 + a[1, 4] a[2, 2] a[3, 1] a[4, 2] a[4, 4] 2 - a[1, 4] a[2, 2] a[3, 4] a[4, 1] a[4, 2] 3 - a[1, 4] a[2, 4] a[3, 1] a[4, 2] 2 + a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 2] 2 2 + a[1, 4] a[3, 1] a[3, 2] a[4, 3] - 2 a[1, 4] a[3, 1] a[3, 2] a[3, 3] a[4, 2] a[4, 3] + a[1, 4] a[3, 1] a[3, 2] a[4, 2] a[4, 3] a[4, 4] 2 2 + a[1, 4] a[3, 1] a[3, 3] a[4, 2] 2 - a[1, 4] a[3, 1] a[3, 3] a[4, 2] a[4, 4] - a[1, 4] a[3, 2] a[3, 4] a[4, 1] a[4, 2] a[4, 3] 2 + a[1, 4] a[3, 3] a[3, 4] a[4, 1] a[4, 2] ) X[2, 1] + ( a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 2] + a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[4, 2] a[4, 4] - a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 1] a[1, 2] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 1] a[1, 2] a[2, 4] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 1] a[1, 3] a[2, 1] a[3, 2] a[4, 3] + a[1, 1] a[1, 3] a[2, 1] a[3, 2] a[3, 3] a[4, 2] - a[1, 1] a[1, 3] a[2, 1] a[3, 2] a[4, 2] a[4, 4] 2 + a[1, 1] a[1, 3] a[2, 1] a[3, 4] a[4, 2] 2 2 - a[1, 2] a[2, 3] a[3, 1] a[4, 3] 2 + a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 1] 2 - a[1, 2] a[2, 3] a[3, 1] a[4, 1] a[4, 4] 2 2 + a[1, 2] a[2, 3] a[3, 4] a[4, 1] + a[1, 2] a[1, 3] a[2, 1] a[3, 1] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[3, 3] a[4, 1] + a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 1] + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 1] + a[1, 2] a[1, 4] a[2, 1] a[3, 1] a[4, 2] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[3, 2] a[4, 1] a[4, 3] - a[1, 2] a[2, 3] a[3, 1] a[3, 2] a[4, 3] a[4, 4] + a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 2] a[4, 4] - a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 1] a[4, 2] a[4, 4] + a[1, 2] a[2, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 3] + a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 2] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 1] a[3, 2] a[4, 3] + a[1, 2] a[2, 4] a[3, 1] a[4, 2] a[4, 3] a[4, 4] - a[1, 2] a[2, 4] a[3, 2] a[3, 3] a[4, 1] a[4, 3] - a[1, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 2] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 1] a[3, 2] a[4, 2] 2 2 + a[1, 3] a[2, 1] a[3, 2] a[4, 1] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 1] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 2] a[4, 3] a[4, 4] - a[1, 3] a[2, 1] a[3, 2] a[3, 3] a[4, 2] a[4, 4] 2 + a[1, 3] a[2, 1] a[3, 2] a[4, 2] a[4, 4] 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 2] a[4, 3] + a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] a[4, 2] - a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 2] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] 2 2 - a[1, 4] a[2, 1] a[3, 2] a[4, 3] + a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 2] a[4, 3] - a[1, 4] a[2, 1] a[3, 2] a[4, 2] a[4, 3] a[4, 4] 2 + a[1, 4] a[2, 1] a[3, 4] a[4, 2] a[4, 3] + a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] 2 + a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 4] 2 - a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 2] a[4, 3]) X[3, 1] + X[4, 2] ( a[1, 2] a[2, 1] a[2, 3] a[3, 1] a[3, 4] a[4, 2] - a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[3, 4] a[4, 1] - a[1, 2] a[2, 1] a[2, 4] a[3, 1] a[3, 2] a[4, 3] + a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[3, 3] a[4, 1] - a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 4] + a[1, 2] a[2, 1] a[2, 4] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 1] + a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 2] a[2, 4] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 2] + a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 1] 2 + a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] - a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[3, 4] a[4, 1] + a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 4] 2 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 2 + a[1, 2] a[2, 4] a[3, 2] a[4, 1] 2 - a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 3] 2 + a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 1] - a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 1] - a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[3, 4] a[4, 2] + a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[3, 4] a[4, 1] + a[1, 3] a[2, 1] a[2, 4] a[3, 1] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 1] - a[1, 3] a[2, 1] a[3, 1] a[3, 2] a[3, 4] a[4, 3] + a[1, 3] a[2, 1] a[3, 1] a[3, 3] a[3, 4] a[4, 2] - a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] + a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[3, 4] a[4, 1] 2 + a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[3, 3] a[4, 1] + a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 4] - a[1, 3] a[2, 4] a[3, 1] a[3, 4] a[4, 1] a[4, 2] 2 2 + a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 2] 2 + a[1, 4] a[2, 1] a[3, 2] a[4, 2] a[4, 4] 2 2 - a[1, 4] a[2, 1] a[3, 4] a[4, 2] - a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[3, 2] a[4, 3] + a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[3, 3] a[4, 2] - a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[4, 2] a[4, 4] + a[1, 4] a[2, 1] a[2, 2] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 1] a[2, 4] a[3, 1] a[4, 2] - a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 2] + a[1, 4] a[2, 1] a[3, 1] a[3, 2] a[3, 3] a[4, 3] 2 - a[1, 4] a[2, 1] a[3, 1] a[3, 3] a[4, 2] + a[1, 4] a[2, 1] a[3, 1] a[3, 3] a[4, 2] a[4, 4] - a[1, 4] a[2, 1] a[3, 1] a[3, 4] a[4, 2] a[4, 3] + a[1, 4] a[2, 1] a[3, 2] a[3, 4] a[4, 1] a[4, 3] - a[1, 4] a[2, 1] a[3, 3] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] 2 - a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 4] + a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 4] a[2, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 3]) = 0 in Maple notation (a[1,1]*a[2,1]^2*a[3,2]^2*a[4,3]-a[1,1]*a[2,1]^2*a[3,2]*a[3,3]*a[4,2]+a[1,1]*a[ 2,1]^2*a[3,2]*a[4,2]*a[4,4]-a[1,1]*a[2,1]^2*a[3,4]*a[4,2]^2-a[1,1]*a[2,1]*a[2,2 ]*a[3,1]*a[3,2]*a[4,3]+a[1,1]*a[2,1]*a[2,2]*a[3,1]*a[3,3]*a[4,2]-a[1,1]*a[2,1]* a[2,2]*a[3,1]*a[4,2]*a[4,4]+a[1,1]*a[2,1]*a[2,2]*a[3,4]*a[4,1]*a[4,2]+a[1,1]*a[ 2,1]*a[2,4]*a[3,1]*a[4,2]^2-a[1,1]*a[2,1]*a[2,4]*a[3,2]*a[4,1]*a[4,2]+a[1,1]*a[ 2,1]*a[3,1]*a[3,2]*a[3,3]*a[4,3]-a[1,1]*a[2,1]*a[3,1]*a[3,3]^2*a[4,2]+a[1,1]*a[ 2,1]*a[3,1]*a[3,3]*a[4,2]*a[4,4]-a[1,1]*a[2,1]*a[3,1]*a[3,4]*a[4,2]*a[4,3]+a[1, 1]*a[2,1]*a[3,2]*a[3,4]*a[4,1]*a[4,3]-a[1,1]*a[2,1]*a[3,3]*a[3,4]*a[4,1]*a[4,2] -a[1,1]*a[2,3]*a[3,1]^2*a[3,2]*a[4,3]+a[1,1]*a[2,3]*a[3,1]^2*a[3,3]*a[4,2]-a[1, 1]*a[2,3]*a[3,1]^2*a[4,2]*a[4,4]+a[1,1]*a[2,3]*a[3,1]*a[3,4]*a[4,1]*a[4,2]+a[1, 1]*a[2,4]*a[3,1]^2*a[4,2]*a[4,3]-a[1,1]*a[2,4]*a[3,1]*a[3,2]*a[4,1]*a[4,3]-a[1, 2]*a[2,1]^2*a[3,1]*a[3,2]*a[4,3]+a[1,2]*a[2,1]^2*a[3,2]*a[3,3]*a[4,1]-a[1,2]*a[ 2,1]^2*a[3,2]*a[4,1]*a[4,4]+a[1,2]*a[2,1]^2*a[3,4]*a[4,1]*a[4,2]+a[1,2]*a[2,1]* a[2,2]*a[3,1]^2*a[4,3]-a[1,2]*a[2,1]*a[2,2]*a[3,1]*a[3,3]*a[4,1]+a[1,2]*a[2,1]* a[2,2]*a[3,1]*a[4,1]*a[4,4]-a[1,2]*a[2,1]*a[2,2]*a[3,4]*a[4,1]^2-a[1,2]*a[2,1]* a[2,4]*a[3,1]*a[4,1]*a[4,2]+a[1,2]*a[2,1]*a[2,4]*a[3,2]*a[4,1]^2-a[1,2]*a[2,1]* a[3,1]^2*a[3,3]*a[4,3]+a[1,2]*a[2,1]*a[3,1]*a[3,3]^2*a[4,1]-a[1,2]*a[2,1]*a[3,1 ]*a[3,3]*a[4,1]*a[4,4]+a[1,2]*a[2,1]*a[3,3]*a[3,4]*a[4,1]^2+a[1,2]*a[2,3]*a[3,1 ]^3*a[4,3]-a[1,2]*a[2,3]*a[3,1]^2*a[3,3]*a[4,1]+a[1,2]*a[2,3]*a[3,1]^2*a[4,1]*a [4,4]-a[1,2]*a[2,3]*a[3,1]*a[3,4]*a[4,1]^2+a[1,3]*a[2,1]^2*a[3,1]*a[3,2]*a[4,2] -a[1,3]*a[2,1]^2*a[3,2]^2*a[4,1]-a[1,3]*a[2,1]*a[2,2]*a[3,1]^2*a[4,2]+a[1,3]*a[ 2,1]*a[2,2]*a[3,1]*a[3,2]*a[4,1]+a[1,3]*a[2,1]*a[3,1]^2*a[3,3]*a[4,2]-a[1,3]*a[ 2,1]*a[3,1]*a[3,2]*a[3,3]*a[4,1]+a[1,3]*a[2,1]*a[3,1]*a[3,4]*a[4,1]*a[4,2]-a[1, 3]*a[2,1]*a[3,2]*a[3,4]*a[4,1]^2-a[1,3]*a[2,3]*a[3,1]^3*a[4,2]+a[1,3]*a[2,3]*a[ 3,1]^2*a[3,2]*a[4,1]-a[1,3]*a[2,4]*a[3,1]^2*a[4,1]*a[4,2]+a[1,3]*a[2,4]*a[3,1]* a[3,2]*a[4,1]^2-a[2,1]^2*a[3,2]^2*a[4,3]*a[4,4]+a[2,1]^2*a[3,2]*a[3,3]*a[4,2]*a [4,4]-a[2,1]^2*a[3,2]*a[4,2]*a[4,4]^2+a[2,1]^2*a[3,4]*a[4,2]^2*a[4,4]+a[2,1]*a[ 2,2]*a[3,1]*a[3,2]*a[4,3]*a[4,4]-a[2,1]*a[2,2]*a[3,1]*a[3,3]*a[4,2]*a[4,4]+a[2, 1]*a[2,2]*a[3,1]*a[3,4]*a[4,2]*a[4,3]+a[2,1]*a[2,2]*a[3,1]*a[4,2]*a[4,4]^2-a[2, 1]*a[2,2]*a[3,2]*a[3,4]*a[4,1]*a[4,3]-a[2,1]*a[2,2]*a[3,4]*a[4,1]*a[4,2]*a[4,4] -a[2,1]*a[2,3]*a[3,1]*a[3,4]*a[4,2]^2+a[2,1]*a[2,3]*a[3,2]*a[3,4]*a[4,1]*a[4,2] -a[2,1]*a[2,4]*a[3,1]*a[4,2]^2*a[4,4]+a[2,1]*a[2,4]*a[3,2]^2*a[4,1]*a[4,3]-a[2, 1]*a[2,4]*a[3,2]*a[3,3]*a[4,1]*a[4,2]+2*a[2,1]*a[2,4]*a[3,2]*a[4,1]*a[4,2]*a[4, 4]-a[2,1]*a[2,4]*a[3,4]*a[4,1]*a[4,2]^2-a[2,1]*a[3,1]*a[3,2]*a[3,3]*a[4,3]*a[4, 4]+a[2,1]*a[3,1]*a[3,2]*a[3,4]*a[4,3]^2+a[2,1]*a[3,1]*a[3,3]^2*a[4,2]*a[4,4]-a[ 2,1]*a[3,1]*a[3,3]*a[3,4]*a[4,2]*a[4,3]-a[2,1]*a[3,1]*a[3,3]*a[4,2]*a[4,4]^2+a[ 2,1]*a[3,1]*a[3,4]*a[4,2]*a[4,3]*a[4,4]+a[2,1]*a[3,3]*a[3,4]*a[4,1]*a[4,2]*a[4, 4]-a[2,1]*a[3,4]^2*a[4,1]*a[4,2]*a[4,3]-a[2,2]*a[2,4]*a[3,1]^2*a[4,2]*a[4,3]+a[ 2,2]*a[2,4]*a[3,1]*a[3,3]*a[4,1]*a[4,2]-a[2,2]*a[2,4]*a[3,1]*a[4,1]*a[4,2]*a[4, 4]+a[2,2]*a[2,4]*a[3,4]*a[4,1]^2*a[4,2]+a[2,3]*a[2,4]*a[3,1]^2*a[4,2]^2-a[2,3]* a[2,4]*a[3,1]*a[3,2]*a[4,1]*a[4,2]+a[2,3]*a[3,1]^2*a[3,2]*a[4,3]*a[4,4]-a[2,3]* a[3,1]^2*a[3,3]*a[4,2]*a[4,4]+a[2,3]*a[3,1]^2*a[4,2]*a[4,4]^2-a[2,3]*a[3,1]*a[3 ,2]*a[3,4]*a[4,1]*a[4,3]+a[2,3]*a[3,1]*a[3,3]*a[3,4]*a[4,1]*a[4,2]-2*a[2,3]*a[3 ,1]*a[3,4]*a[4,1]*a[4,2]*a[4,4]+a[2,3]*a[3,4]^2*a[4,1]^2*a[4,2]+a[2,4]^2*a[3,1] *a[4,1]*a[4,2]^2-a[2,4]^2*a[3,2]*a[4,1]^2*a[4,2]-a[2,4]*a[3,1]^2*a[3,2]*a[4,3]^ 2+a[2,4]*a[3,1]^2*a[3,3]*a[4,2]*a[4,3]-a[2,4]*a[3,1]^2*a[4,2]*a[4,3]*a[4,4]+a[2 ,4]*a[3,1]*a[3,2]*a[3,3]*a[4,1]*a[4,3]-a[2,4]*a[3,1]*a[3,3]^2*a[4,1]*a[4,2]+a[2 ,4]*a[3,1]*a[3,3]*a[4,1]*a[4,2]*a[4,4]+a[2,4]*a[3,1]*a[3,4]*a[4,1]*a[4,2]*a[4,3 ]-a[2,4]*a[3,3]*a[3,4]*a[4,1]^2*a[4,2])*X[1,2]+(-a[1,1]*a[1,2]*a[2,1]*a[3,2]^2* a[4,3]+a[1,1]*a[1,2]*a[2,1]*a[3,2]*a[3,3]*a[4,2]-a[1,1]*a[1,2]*a[2,1]*a[3,2]*a[ 4,2]*a[4,4]+a[1,1]*a[1,2]*a[2,1]*a[3,4]*a[4,2]^2+a[1,1]*a[1,2]*a[2,2]*a[3,1]*a[ 3,2]*a[4,3]-a[1,1]*a[1,2]*a[2,2]*a[3,1]*a[3,3]*a[4,2]+a[1,1]*a[1,2]*a[2,2]*a[3, 1]*a[4,2]*a[4,4]-a[1,1]*a[1,2]*a[2,2]*a[3,4]*a[4,1]*a[4,2]-a[1,1]*a[1,2]*a[2,4] *a[3,1]*a[4,2]^2+a[1,1]*a[1,2]*a[2,4]*a[3,2]*a[4,1]*a[4,2]-a[1,1]*a[1,2]*a[3,1] *a[3,2]*a[3,3]*a[4,3]+a[1,1]*a[1,2]*a[3,1]*a[3,3]^2*a[4,2]-a[1,1]*a[1,2]*a[3,1] *a[3,3]*a[4,2]*a[4,4]+a[1,1]*a[1,2]*a[3,1]*a[3,4]*a[4,2]*a[4,3]-a[1,1]*a[1,2]*a [3,2]*a[3,4]*a[4,1]*a[4,3]+a[1,1]*a[1,2]*a[3,3]*a[3,4]*a[4,1]*a[4,2]+a[1,1]*a[1 ,3]*a[3,1]*a[3,2]^2*a[4,3]-a[1,1]*a[1,3]*a[3,1]*a[3,2]*a[3,3]*a[4,2]+a[1,1]*a[1 ,3]*a[3,1]*a[3,2]*a[4,2]*a[4,4]-a[1,1]*a[1,3]*a[3,1]*a[3,4]*a[4,2]^2+a[1,2]^2*a [2,1]*a[3,1]*a[3,2]*a[4,3]-a[1,2]^2*a[2,1]*a[3,2]*a[3,3]*a[4,1]+a[1,2]^2*a[2,1] *a[3,2]*a[4,1]*a[4,4]-a[1,2]^2*a[2,1]*a[3,4]*a[4,1]*a[4,2]-a[1,2]^2*a[2,2]*a[3, 1]^2*a[4,3]+a[1,2]^2*a[2,2]*a[3,1]*a[3,3]*a[4,1]-a[1,2]^2*a[2,2]*a[3,1]*a[4,1]* a[4,4]+a[1,2]^2*a[2,2]*a[3,4]*a[4,1]^2+a[1,2]^2*a[2,4]*a[3,1]*a[4,1]*a[4,2]-a[1 ,2]^2*a[2,4]*a[3,2]*a[4,1]^2+a[1,2]^2*a[3,1]^2*a[3,3]*a[4,3]-a[1,2]^2*a[3,1]*a[ 3,3]^2*a[4,1]+a[1,2]^2*a[3,1]*a[3,3]*a[4,1]*a[4,4]-a[1,2]^2*a[3,3]*a[3,4]*a[4,1 ]^2-a[1,2]*a[1,3]*a[2,1]*a[3,1]*a[3,2]*a[4,2]+a[1,2]*a[1,3]*a[2,1]*a[3,2]^2*a[4 ,1]+a[1,2]*a[1,3]*a[2,2]*a[3,1]^2*a[4,2]-a[1,2]*a[1,3]*a[2,2]*a[3,1]*a[3,2]*a[4 ,1]-a[1,2]*a[1,3]*a[3,1]^2*a[3,2]*a[4,3]-a[1,2]*a[1,3]*a[3,1]^2*a[3,3]*a[4,2]+2 *a[1,2]*a[1,3]*a[3,1]*a[3,2]*a[3,3]*a[4,1]-a[1,2]*a[1,3]*a[3,1]*a[3,2]*a[4,1]*a [4,4]+a[1,2]*a[1,3]*a[3,2]*a[3,4]*a[4,1]^2-a[1,2]*a[1,4]*a[3,1]^2*a[4,2]*a[4,3] +a[1,2]*a[1,4]*a[3,1]*a[3,2]*a[4,1]*a[4,3]+a[1,2]*a[2,1]*a[3,2]^2*a[4,3]*a[4,4] -a[1,2]*a[2,1]*a[3,2]*a[3,3]*a[4,2]*a[4,4]+a[1,2]*a[2,1]*a[3,2]*a[4,2]*a[4,4]^2 -a[1,2]*a[2,1]*a[3,4]*a[4,2]^2*a[4,4]-a[1,2]*a[2,2]*a[3,1]*a[3,2]*a[4,3]*a[4,4] +a[1,2]*a[2,2]*a[3,1]*a[3,3]*a[4,2]*a[4,4]-a[1,2]*a[2,2]*a[3,1]*a[3,4]*a[4,2]*a [4,3]-a[1,2]*a[2,2]*a[3,1]*a[4,2]*a[4,4]^2+a[1,2]*a[2,2]*a[3,2]*a[3,4]*a[4,1]*a [4,3]+a[1,2]*a[2,2]*a[3,4]*a[4,1]*a[4,2]*a[4,4]+a[1,2]*a[2,4]*a[3,1]*a[3,2]*a[4 ,2]*a[4,3]+a[1,2]*a[2,4]*a[3,1]*a[4,2]^2*a[4,4]-a[1,2]*a[2,4]*a[3,2]^2*a[4,1]*a [4,3]-a[1,2]*a[2,4]*a[3,2]*a[4,1]*a[4,2]*a[4,4]+a[1,2]*a[3,1]*a[3,2]*a[3,3]*a[4 ,3]*a[4,4]-a[1,2]*a[3,1]*a[3,2]*a[3,4]*a[4,3]^2-a[1,2]*a[3,1]*a[3,3]^2*a[4,2]*a [4,4]+a[1,2]*a[3,1]*a[3,3]*a[3,4]*a[4,2]*a[4,3]+a[1,2]*a[3,1]*a[3,3]*a[4,2]*a[4 ,4]^2-a[1,2]*a[3,1]*a[3,4]*a[4,2]*a[4,3]*a[4,4]-a[1,2]*a[3,3]*a[3,4]*a[4,1]*a[4 ,2]*a[4,4]+a[1,2]*a[3,4]^2*a[4,1]*a[4,2]*a[4,3]+a[1,3]^2*a[3,1]^2*a[3,2]*a[4,2] -a[1,3]^2*a[3,1]*a[3,2]^2*a[4,1]+a[1,3]*a[1,4]*a[3,1]^2*a[4,2]^2-a[1,3]*a[1,4]* a[3,1]*a[3,2]*a[4,1]*a[4,2]+a[1,3]*a[2,2]*a[3,1]*a[3,4]*a[4,2]^2-a[1,3]*a[2,2]* a[3,2]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[2,4]*a[3,1]*a[3,2]*a[4,2]^2+a[1,3]*a[2,4]* a[3,2]^2*a[4,1]*a[4,2]-a[1,3]*a[3,1]*a[3,2]^2*a[4,3]*a[4,4]+a[1,3]*a[3,1]*a[3,2 ]*a[3,3]*a[4,2]*a[4,4]+a[1,3]*a[3,1]*a[3,2]*a[3,4]*a[4,2]*a[4,3]-a[1,3]*a[3,1]* a[3,2]*a[4,2]*a[4,4]^2-a[1,3]*a[3,1]*a[3,3]*a[3,4]*a[4,2]^2+a[1,3]*a[3,1]*a[3,4 ]*a[4,2]^2*a[4,4]+a[1,3]*a[3,2]*a[3,4]*a[4,1]*a[4,2]*a[4,4]-a[1,3]*a[3,4]^2*a[4 ,1]*a[4,2]^2-a[1,4]*a[2,1]*a[3,2]^2*a[4,2]*a[4,3]+a[1,4]*a[2,1]*a[3,2]*a[3,3]*a [4,2]^2-a[1,4]*a[2,1]*a[3,2]*a[4,2]^2*a[4,4]+a[1,4]*a[2,1]*a[3,4]*a[4,2]^3+a[1, 4]*a[2,2]*a[3,1]*a[3,2]*a[4,2]*a[4,3]-a[1,4]*a[2,2]*a[3,1]*a[3,3]*a[4,2]^2+a[1, 4]*a[2,2]*a[3,1]*a[4,2]^2*a[4,4]-a[1,4]*a[2,2]*a[3,4]*a[4,1]*a[4,2]^2-a[1,4]*a[ 2,4]*a[3,1]*a[4,2]^3+a[1,4]*a[2,4]*a[3,2]*a[4,1]*a[4,2]^2+a[1,4]*a[3,1]*a[3,2]^ 2*a[4,3]^2-2*a[1,4]*a[3,1]*a[3,2]*a[3,3]*a[4,2]*a[4,3]+a[1,4]*a[3,1]*a[3,2]*a[4 ,2]*a[4,3]*a[4,4]+a[1,4]*a[3,1]*a[3,3]^2*a[4,2]^2-a[1,4]*a[3,1]*a[3,3]*a[4,2]^2 *a[4,4]-a[1,4]*a[3,2]*a[3,4]*a[4,1]*a[4,2]*a[4,3]+a[1,4]*a[3,3]*a[3,4]*a[4,1]*a [4,2]^2)*X[2,1]+(a[1,1]*a[1,2]*a[2,3]*a[3,1]*a[3,2]*a[4,3]-a[1,1]*a[1,2]*a[2,3] *a[3,1]*a[3,3]*a[4,2]+a[1,1]*a[1,2]*a[2,3]*a[3,1]*a[4,2]*a[4,4]-a[1,1]*a[1,2]*a [2,3]*a[3,4]*a[4,1]*a[4,2]-a[1,1]*a[1,2]*a[2,4]*a[3,1]*a[4,2]*a[4,3]+a[1,1]*a[1 ,2]*a[2,4]*a[3,2]*a[4,1]*a[4,3]-a[1,1]*a[1,3]*a[2,1]*a[3,2]^2*a[4,3]+a[1,1]*a[1 ,3]*a[2,1]*a[3,2]*a[3,3]*a[4,2]-a[1,1]*a[1,3]*a[2,1]*a[3,2]*a[4,2]*a[4,4]+a[1,1 ]*a[1,3]*a[2,1]*a[3,4]*a[4,2]^2-a[1,2]^2*a[2,3]*a[3,1]^2*a[4,3]+a[1,2]^2*a[2,3] *a[3,1]*a[3,3]*a[4,1]-a[1,2]^2*a[2,3]*a[3,1]*a[4,1]*a[4,4]+a[1,2]^2*a[2,3]*a[3, 4]*a[4,1]^2+a[1,2]*a[1,3]*a[2,1]*a[3,1]*a[3,2]*a[4,3]-a[1,2]*a[1,3]*a[2,1]*a[3, 2]*a[3,3]*a[4,1]+a[1,2]*a[1,3]*a[2,1]*a[3,2]*a[4,1]*a[4,4]-a[1,2]*a[1,3]*a[2,1] *a[3,4]*a[4,1]*a[4,2]+a[1,2]*a[1,3]*a[2,3]*a[3,1]^2*a[4,2]-a[1,2]*a[1,3]*a[2,3] *a[3,1]*a[3,2]*a[4,1]+a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[4,1]*a[4,2]-a[1,2]*a[1,3]*a [2,4]*a[3,2]*a[4,1]^2+a[1,2]*a[1,4]*a[2,1]*a[3,1]*a[4,2]*a[4,3]-a[1,2]*a[1,4]*a [2,1]*a[3,2]*a[4,1]*a[4,3]-a[1,2]*a[2,3]*a[3,1]*a[3,2]*a[4,3]*a[4,4]+a[1,2]*a[2 ,3]*a[3,1]*a[3,3]*a[4,2]*a[4,4]-a[1,2]*a[2,3]*a[3,1]*a[3,4]*a[4,2]*a[4,3]-a[1,2 ]*a[2,3]*a[3,1]*a[4,2]*a[4,4]^2+a[1,2]*a[2,3]*a[3,2]*a[3,4]*a[4,1]*a[4,3]+a[1,2 ]*a[2,3]*a[3,4]*a[4,1]*a[4,2]*a[4,4]+a[1,2]*a[2,4]*a[3,1]*a[3,2]*a[4,3]^2+a[1,2 ]*a[2,4]*a[3,1]*a[4,2]*a[4,3]*a[4,4]-a[1,2]*a[2,4]*a[3,2]*a[3,3]*a[4,1]*a[4,3]- a[1,2]*a[2,4]*a[3,4]*a[4,1]*a[4,2]*a[4,3]-a[1,3]^2*a[2,1]*a[3,1]*a[3,2]*a[4,2]+ a[1,3]^2*a[2,1]*a[3,2]^2*a[4,1]-a[1,3]*a[1,4]*a[2,1]*a[3,1]*a[4,2]^2+a[1,3]*a[1 ,4]*a[2,1]*a[3,2]*a[4,1]*a[4,2]+a[1,3]*a[2,1]*a[3,2]^2*a[4,3]*a[4,4]-a[1,3]*a[2 ,1]*a[3,2]*a[3,3]*a[4,2]*a[4,4]+a[1,3]*a[2,1]*a[3,2]*a[4,2]*a[4,4]^2-a[1,3]*a[2 ,1]*a[3,4]*a[4,2]^2*a[4,4]+a[1,3]*a[2,3]*a[3,1]*a[3,4]*a[4,2]^2-a[1,3]*a[2,3]*a [3,2]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[2,4]*a[3,1]*a[3,2]*a[4,2]*a[4,3]+a[1,3]*a[2 ,4]*a[3,2]*a[3,3]*a[4,1]*a[4,2]-a[1,3]*a[2,4]*a[3,2]*a[4,1]*a[4,2]*a[4,4]+a[1,3 ]*a[2,4]*a[3,4]*a[4,1]*a[4,2]^2-a[1,4]*a[2,1]*a[3,2]^2*a[4,3]^2+a[1,4]*a[2,1]*a [3,2]*a[3,3]*a[4,2]*a[4,3]-a[1,4]*a[2,1]*a[3,2]*a[4,2]*a[4,3]*a[4,4]+a[1,4]*a[2 ,1]*a[3,4]*a[4,2]^2*a[4,3]+a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,2]*a[4,3]-a[1,4]*a[2 ,3]*a[3,1]*a[3,3]*a[4,2]^2+a[1,4]*a[2,3]*a[3,1]*a[4,2]^2*a[4,4]-a[1,4]*a[2,3]*a [3,4]*a[4,1]*a[4,2]^2-a[1,4]*a[2,4]*a[3,1]*a[4,2]^2*a[4,3]+a[1,4]*a[2,4]*a[3,2] *a[4,1]*a[4,2]*a[4,3])*X[3,1]+X[4,2]*(a[1,2]*a[2,1]*a[2,3]*a[3,1]*a[3,4]*a[4,2] -a[1,2]*a[2,1]*a[2,3]*a[3,2]*a[3,4]*a[4,1]-a[1,2]*a[2,1]*a[2,4]*a[3,1]*a[3,2]*a [4,3]+a[1,2]*a[2,1]*a[2,4]*a[3,2]*a[3,3]*a[4,1]-a[1,2]*a[2,1]*a[2,4]*a[3,2]*a[4 ,1]*a[4,4]+a[1,2]*a[2,1]*a[2,4]*a[3,4]*a[4,1]*a[4,2]+a[1,2]*a[2,2]*a[2,4]*a[3,1 ]^2*a[4,3]-a[1,2]*a[2,2]*a[2,4]*a[3,1]*a[3,3]*a[4,1]+a[1,2]*a[2,2]*a[2,4]*a[3,1 ]*a[4,1]*a[4,4]-a[1,2]*a[2,2]*a[2,4]*a[3,4]*a[4,1]^2-a[1,2]*a[2,3]*a[2,4]*a[3,1 ]^2*a[4,2]+a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[3,2]*a[4,1]+a[1,2]*a[2,3]*a[3,1]^2*a[3 ,4]*a[4,3]-a[1,2]*a[2,3]*a[3,1]*a[3,3]*a[3,4]*a[4,1]+a[1,2]*a[2,3]*a[3,1]*a[3,4 ]*a[4,1]*a[4,4]-a[1,2]*a[2,3]*a[3,4]^2*a[4,1]^2-a[1,2]*a[2,4]^2*a[3,1]*a[4,1]*a [4,2]+a[1,2]*a[2,4]^2*a[3,2]*a[4,1]^2-a[1,2]*a[2,4]*a[3,1]^2*a[3,3]*a[4,3]+a[1, 2]*a[2,4]*a[3,1]*a[3,3]^2*a[4,1]-a[1,2]*a[2,4]*a[3,1]*a[3,3]*a[4,1]*a[4,4]+a[1, 2]*a[2,4]*a[3,3]*a[3,4]*a[4,1]^2-a[1,3]*a[2,1]*a[2,2]*a[3,1]*a[3,4]*a[4,2]+a[1, 3]*a[2,1]*a[2,2]*a[3,2]*a[3,4]*a[4,1]+a[1,3]*a[2,1]*a[2,4]*a[3,1]*a[3,2]*a[4,2] -a[1,3]*a[2,1]*a[2,4]*a[3,2]^2*a[4,1]-a[1,3]*a[2,1]*a[3,1]*a[3,2]*a[3,4]*a[4,3] +a[1,3]*a[2,1]*a[3,1]*a[3,3]*a[3,4]*a[4,2]-a[1,3]*a[2,1]*a[3,2]*a[3,4]*a[4,1]*a [4,4]+a[1,3]*a[2,1]*a[3,4]^2*a[4,1]*a[4,2]-a[1,3]*a[2,3]*a[3,1]^2*a[3,4]*a[4,2] +a[1,3]*a[2,3]*a[3,1]*a[3,2]*a[3,4]*a[4,1]+a[1,3]*a[2,4]*a[3,1]^2*a[3,2]*a[4,3] -a[1,3]*a[2,4]*a[3,1]*a[3,2]*a[3,3]*a[4,1]+a[1,3]*a[2,4]*a[3,1]*a[3,2]*a[4,1]*a [4,4]-a[1,3]*a[2,4]*a[3,1]*a[3,4]*a[4,1]*a[4,2]+a[1,4]*a[2,1]^2*a[3,2]^2*a[4,3] -a[1,4]*a[2,1]^2*a[3,2]*a[3,3]*a[4,2]+a[1,4]*a[2,1]^2*a[3,2]*a[4,2]*a[4,4]-a[1, 4]*a[2,1]^2*a[3,4]*a[4,2]^2-a[1,4]*a[2,1]*a[2,2]*a[3,1]*a[3,2]*a[4,3]+a[1,4]*a[ 2,1]*a[2,2]*a[3,1]*a[3,3]*a[4,2]-a[1,4]*a[2,1]*a[2,2]*a[3,1]*a[4,2]*a[4,4]+a[1, 4]*a[2,1]*a[2,2]*a[3,4]*a[4,1]*a[4,2]+a[1,4]*a[2,1]*a[2,4]*a[3,1]*a[4,2]^2-a[1, 4]*a[2,1]*a[2,4]*a[3,2]*a[4,1]*a[4,2]+a[1,4]*a[2,1]*a[3,1]*a[3,2]*a[3,3]*a[4,3] -a[1,4]*a[2,1]*a[3,1]*a[3,3]^2*a[4,2]+a[1,4]*a[2,1]*a[3,1]*a[3,3]*a[4,2]*a[4,4] -a[1,4]*a[2,1]*a[3,1]*a[3,4]*a[4,2]*a[4,3]+a[1,4]*a[2,1]*a[3,2]*a[3,4]*a[4,1]*a [4,3]-a[1,4]*a[2,1]*a[3,3]*a[3,4]*a[4,1]*a[4,2]-a[1,4]*a[2,3]*a[3,1]^2*a[3,2]*a [4,3]+a[1,4]*a[2,3]*a[3,1]^2*a[3,3]*a[4,2]-a[1,4]*a[2,3]*a[3,1]^2*a[4,2]*a[4,4] +a[1,4]*a[2,3]*a[3,1]*a[3,4]*a[4,1]*a[4,2]+a[1,4]*a[2,4]*a[3,1]^2*a[4,2]*a[4,3] -a[1,4]*a[2,4]*a[3,1]*a[3,2]*a[4,1]*a[4,3]) = 0 ------------------------------------ Theorem number, 24, : let, {X[1, 2], X[2, 1], X[3, 1], X[4, 3]}, be the entri\ es of an ARBITRARY power of the general matrix M, we always have the lin\ ear relation 2 (-a[1, 1] a[2, 1] a[2, 2] a[3, 2] a[4, 3] 2 + a[1, 1] a[2, 1] a[2, 3] a[3, 2] a[4, 2] 2 + a[1, 1] a[2, 1] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 1] a[2, 1] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 1] a[2, 1] a[2, 2] a[3, 1] a[4, 3] - a[1, 1] a[2, 1] a[2, 2] a[2, 3] a[3, 1] a[4, 2] - a[1, 1] a[2, 1] a[2, 2] a[3, 1] a[3, 3] a[4, 3] - a[1, 1] a[2, 1] a[2, 2] a[3, 1] a[4, 3] a[4, 4] + a[1, 1] a[2, 1] a[2, 3] a[3, 1] a[3, 3] a[4, 2] + a[1, 1] a[2, 1] a[2, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 1] a[2, 1] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 1] a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 3] + a[1, 1] a[2, 1] a[3, 1] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 1] a[2, 1] a[3, 1] a[3, 4] a[4, 3] 2 + a[1, 1] a[2, 2] a[2, 3] a[3, 1] a[4, 3] + a[1, 1] a[2, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 3] 2 2 - a[1, 1] a[2, 3] a[3, 1] a[4, 2] - a[1, 1] a[2, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 - a[1, 1] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 1] a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 3] 2 2 + a[1, 1] a[2, 4] a[3, 1] a[4, 3] - a[1, 1] a[2, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 3] 3 + a[1, 2] a[2, 1] a[3, 2] a[4, 3] 2 - a[1, 2] a[2, 1] a[2, 2] a[3, 1] a[4, 3] 2 - a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[4, 1] 2 + a[1, 2] a[2, 1] a[3, 1] a[3, 3] a[4, 3] 2 + a[1, 2] a[2, 1] a[3, 4] a[4, 1] a[4, 3] + a[1, 2] a[2, 1] a[2, 2] a[2, 3] a[3, 1] a[4, 1] 2 - a[1, 2] a[2, 1] a[2, 3] a[3, 1] a[4, 3] - a[1, 2] a[2, 1] a[2, 3] a[3, 1] a[3, 3] a[4, 1] 2 - a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 1] - a[1, 2] a[2, 1] a[2, 4] a[3, 1] a[4, 1] a[4, 3] 2 2 + a[1, 2] a[2, 3] a[3, 1] a[4, 1] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 1] 3 - a[1, 3] a[2, 1] a[3, 2] a[4, 2] 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[4, 2] 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[4, 1] 2 - a[1, 3] a[2, 1] a[3, 1] a[3, 3] a[4, 2] 2 - a[1, 3] a[2, 1] a[3, 2] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[4, 1] + a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[3, 3] a[4, 1] + a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 1] a[2, 3] a[3, 1] a[4, 2] 2 + a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 1] - a[1, 3] a[2, 1] a[3, 1] a[3, 3] a[4, 1] a[4, 4] + a[1, 3] a[2, 1] a[3, 1] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[4, 1] 2 - a[1, 3] a[2, 2] a[2, 4] a[3, 1] a[4, 1] 2 + a[1, 3] a[2, 3] a[3, 1] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 3] 2 + a[1, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 1] 2 + a[2, 1] a[2, 2] a[3, 2] a[4, 3] a[4, 4] 2 - a[2, 1] a[2, 2] a[3, 4] a[4, 2] a[4, 3] 2 - a[2, 1] a[2, 3] a[3, 2] a[4, 2] a[4, 4] 2 2 2 2 + a[2, 1] a[2, 3] a[3, 4] a[4, 2] - a[2, 1] a[3, 2] a[3, 4] a[4, 3] 2 2 - a[2, 1] a[3, 2] a[4, 3] a[4, 4] 2 + a[2, 1] a[3, 3] a[3, 4] a[4, 2] a[4, 3] 2 + a[2, 1] a[3, 4] a[4, 2] a[4, 3] a[4, 4] 2 - a[2, 1] a[2, 2] a[3, 1] a[4, 3] a[4, 4] 2 + a[2, 1] a[2, 2] a[3, 4] a[4, 1] a[4, 3] + a[2, 1] a[2, 2] a[2, 3] a[3, 1] a[4, 2] a[4, 4] - a[2, 1] a[2, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 2] + a[2, 1] a[2, 2] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[2, 1] a[2, 2] a[2, 4] a[3, 2] a[4, 1] a[4, 3] + a[2, 1] a[2, 2] a[3, 1] a[3, 3] a[4, 3] a[4, 4] 2 + a[2, 1] a[2, 2] a[3, 1] a[4, 3] a[4, 4] - a[2, 1] a[2, 2] a[3, 3] a[3, 4] a[4, 1] a[4, 3] - a[2, 1] a[2, 2] a[3, 4] a[4, 1] a[4, 3] a[4, 4] 2 - a[2, 1] a[2, 3] a[2, 4] a[3, 1] a[4, 2] + a[2, 1] a[2, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 2] - a[2, 1] a[2, 3] a[3, 1] a[3, 3] a[4, 2] a[4, 4] + a[2, 1] a[2, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 3] 2 + a[2, 1] a[2, 4] a[3, 1] a[3, 2] a[4, 3] - a[2, 1] a[2, 4] a[3, 1] a[3, 3] a[4, 2] a[4, 3] - a[2, 1] a[2, 4] a[3, 1] a[4, 2] a[4, 3] a[4, 4] + 2 a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 3] a[4, 4] - a[2, 1] a[2, 4] a[3, 4] a[4, 1] a[4, 2] a[4, 3] 2 - a[2, 1] a[3, 1] a[3, 3] a[4, 3] a[4, 4] 2 + a[2, 1] a[3, 1] a[3, 4] a[4, 3] a[4, 4] + a[2, 1] a[3, 3] a[3, 4] a[4, 1] a[4, 3] a[4, 4] 2 2 - a[2, 1] a[3, 4] a[4, 1] a[4, 3] 2 - a[2, 2] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[2, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 3] - a[2, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 3] a[4, 4] 2 + a[2, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 3] 2 2 + a[2, 3] a[3, 1] a[4, 2] a[4, 4] 2 - a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 2] - a[2, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 3] + a[2, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 2] 2 2 + a[2, 3] a[3, 1] a[4, 3] a[4, 4] - 2 a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 3] a[4, 4] 2 2 + a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 + a[2, 4] a[3, 1] a[4, 1] a[4, 2] a[4, 3] 2 2 2 2 - a[2, 4] a[3, 2] a[4, 1] a[4, 3] - a[2, 4] a[3, 1] a[4, 3] a[4, 4] + a[2, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 3] a[4, 4] 2 + a[2, 4] a[3, 1] a[3, 4] a[4, 1] a[4, 3] 2 - a[2, 4] a[3, 3] a[3, 4] a[4, 1] a[4, 3]) X[1, 2] + ( a[1, 1] a[1, 2] a[2, 1] a[2, 2] a[3, 2] a[4, 3] - a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[4, 2] - a[1, 1] a[1, 2] a[2, 1] a[3, 2] a[4, 3] a[4, 4] + a[1, 1] a[1, 2] a[2, 1] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 2] a[3, 1] a[4, 3] + a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[4, 2] + a[1, 1] a[1, 2] a[2, 2] a[3, 1] a[3, 3] a[4, 3] + a[1, 1] a[1, 2] a[2, 2] a[3, 1] a[4, 3] a[4, 4] - a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 2] - a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 1] a[1, 2] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 1] a[1, 2] a[2, 4] a[3, 2] a[4, 1] a[4, 3] - a[1, 1] a[1, 2] a[3, 1] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 1] a[1, 2] a[3, 1] a[3, 4] a[4, 3] - a[1, 1] a[1, 3] a[2, 2] a[3, 1] a[3, 2] a[4, 3] + a[1, 1] a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 2] + a[1, 1] a[1, 3] a[3, 1] a[3, 2] a[4, 3] a[4, 4] - a[1, 1] a[1, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 3] - a[1, 1] a[1, 4] a[2, 2] a[3, 1] a[4, 2] a[4, 3] 2 + a[1, 1] a[1, 4] a[2, 3] a[3, 1] a[4, 2] 2 - a[1, 1] a[1, 4] a[3, 1] a[3, 2] a[4, 3] + a[1, 1] a[1, 4] a[3, 1] a[3, 3] a[4, 2] a[4, 3] 2 2 - a[1, 2] a[2, 1] a[3, 2] a[4, 3] 2 + a[1, 2] a[2, 1] a[2, 2] a[3, 1] a[4, 3] 2 + a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[4, 1] 2 - a[1, 2] a[2, 1] a[3, 1] a[3, 3] a[4, 3] 2 - a[1, 2] a[2, 1] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[4, 1] 2 + a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 1] 2 2 + a[1, 2] a[2, 3] a[3, 4] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[4, 2] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[4, 1] + a[1, 2] a[1, 3] a[2, 1] a[3, 1] a[3, 2] a[4, 3] + a[1, 2] a[1, 3] a[2, 1] a[3, 1] a[3, 3] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 1] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[3, 1] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[3, 1] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 1] + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 1] + a[1, 2] a[1, 3] a[3, 1] a[3, 3] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[3, 1] a[4, 2] a[4, 3] - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 1] a[4, 2] - a[1, 2] a[2, 1] a[2, 2] a[3, 2] a[4, 3] a[4, 4] + a[1, 2] a[2, 1] a[2, 2] a[3, 4] a[4, 2] a[4, 3] + a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[4, 2] a[4, 4] 2 - a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 2] a[2, 1] a[3, 2] a[3, 4] a[4, 3] 2 + a[1, 2] a[2, 1] a[3, 2] a[4, 3] a[4, 4] - a[1, 2] a[2, 1] a[3, 3] a[3, 4] a[4, 2] a[4, 3] - a[1, 2] a[2, 1] a[3, 4] a[4, 2] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 2] a[3, 1] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 2] a[3, 4] a[4, 1] a[4, 3] - a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[4, 2] a[4, 4] + a[1, 2] a[2, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 2] a[2, 2] a[2, 4] a[3, 2] a[4, 1] a[4, 3] - a[1, 2] a[2, 2] a[3, 1] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 2] a[3, 1] a[4, 3] a[4, 4] + a[1, 2] a[2, 2] a[3, 3] a[3, 4] a[4, 1] a[4, 3] + a[1, 2] a[2, 2] a[3, 4] a[4, 1] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 2] - a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 2] + a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 2] a[4, 4] - a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 3] + a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 2] a[4, 3] + a[1, 2] a[2, 4] a[3, 1] a[4, 2] a[4, 3] a[4, 4] - a[1, 2] a[2, 4] a[3, 2] a[3, 3] a[4, 1] a[4, 3] - a[1, 2] a[2, 4] a[3, 2] a[4, 1] a[4, 3] a[4, 4] 2 + a[1, 2] a[3, 1] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[3, 1] a[3, 4] a[4, 3] a[4, 4] - a[1, 2] a[3, 3] a[3, 4] a[4, 1] a[4, 3] a[4, 4] 2 2 + a[1, 2] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 1] a[3, 2] a[4, 2] 2 + a[1, 3] a[2, 2] a[3, 1] a[3, 2] a[4, 1] 2 - a[1, 3] a[3, 1] a[3, 2] a[4, 1] a[4, 4] 2 + a[1, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[4, 2] + a[1, 3] a[1, 4] a[2, 2] a[3, 1] a[4, 1] a[4, 2] + a[1, 3] a[1, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 3] - a[1, 3] a[1, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 2] + a[1, 3] a[2, 2] a[3, 1] a[3, 2] a[4, 3] a[4, 4] - a[1, 3] a[2, 2] a[3, 2] a[3, 4] a[4, 1] a[4, 3] - a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 2] a[4, 4] 2 + a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] - a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 2] a[4, 3] 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 3] a[3, 1] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 3] a[4, 4] + a[1, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 3] a[4, 4] 2 - a[1, 3] a[3, 4] a[4, 1] a[4, 2] a[4, 3] 2 2 - a[1, 4] a[2, 1] a[3, 2] a[4, 3] + a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 2] a[4, 3] - a[1, 4] a[2, 1] a[3, 2] a[4, 2] a[4, 3] a[4, 4] 2 + a[1, 4] a[2, 1] a[3, 4] a[4, 2] a[4, 3] + a[1, 4] a[2, 2] a[3, 1] a[4, 2] a[4, 3] a[4, 4] - a[1, 4] a[2, 2] a[3, 4] a[4, 1] a[4, 2] a[4, 3] + a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] 2 - a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 2] a[4, 3] 2 + a[1, 4] a[3, 1] a[3, 2] a[4, 3] a[4, 4] - a[1, 4] a[3, 1] a[3, 3] a[4, 2] a[4, 3] a[4, 4] 2 - a[1, 4] a[3, 2] a[3, 4] a[4, 1] a[4, 3] + a[1, 4] a[3, 3] a[3, 4] a[4, 1] a[4, 2] a[4, 3]) X[2, 1] + ( -a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[4, 3] - a[1, 1] a[1, 2] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 + a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[4, 2] + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 2] + a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[4, 3] a[4, 4] - a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 1] a[1, 2] a[2, 4] a[3, 3] a[4, 1] a[4, 3] + a[1, 1] a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 2] - a[1, 1] a[1, 3] a[2, 1] a[3, 2] a[4, 3] a[4, 4] + a[1, 1] a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 3] + a[1, 1] a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 3] 2 - a[1, 1] a[1, 4] a[2, 1] a[2, 3] a[4, 2] 2 + a[1, 1] a[1, 4] a[2, 1] a[3, 2] a[4, 3] - a[1, 1] a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 3] 2 + a[1, 2] a[2, 1] a[2, 3] a[3, 1] a[4, 3] 2 + a[1, 2] a[2, 1] a[2, 4] a[4, 1] a[4, 3] 2 2 2 2 - a[1, 2] a[2, 3] a[3, 1] a[4, 1] - a[1, 2] a[2, 3] a[2, 4] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 1] - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 1] + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] 2 - a[1, 2] a[1, 4] a[2, 1] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 1] a[4, 2] + a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[4, 3] a[4, 4] - a[1, 2] a[2, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[2, 2] a[2, 4] a[3, 3] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 1] a[4, 2] a[4, 4] 2 + a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 2] 2 - a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 3] + a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 3] 2 + a[1, 2] a[2, 4] a[3, 1] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 4] a[3, 3] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 3] 2 2 + a[1, 3] a[2, 1] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[4, 1] 2 + a[1, 3] a[2, 1] a[3, 2] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 2] 2 2 + a[1, 3] a[1, 4] a[2, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 1] a[4, 3] + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 1] a[4, 2] - a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 2] a[4, 3] + a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 2] a[4, 4] 2 - a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] 2 + a[1, 3] a[2, 1] a[3, 2] a[4, 3] a[4, 4] - a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 2] a[4, 3] - a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 3] a[4, 4] + a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 3] - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] + a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] a[4, 3] - a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 3] a[4, 4] + a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[2, 2] a[3, 2] a[4, 3] - a[1, 4] a[2, 1] a[2, 2] a[3, 3] a[4, 2] a[4, 3] - a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 2] 2 - a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 3] 2 - a[1, 4] a[2, 1] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] a[4, 3] + a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 3] a[4, 4] - a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3] ) X[3, 1] + X[4, 3] ( a[1, 2] a[2, 1] a[2, 3] a[3, 1] a[3, 4] a[4, 2] - a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[3, 4] a[4, 1] - a[1, 2] a[2, 1] a[2, 4] a[3, 1] a[3, 2] a[4, 3] + a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[3, 3] a[4, 1] - a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 4] + a[1, 2] a[2, 1] a[2, 4] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[4, 3] - a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 1] + a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 2] a[2, 4] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 2] + a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 1] 2 + a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] - a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[3, 4] a[4, 1] + a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 4] 2 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 2 + a[1, 2] a[2, 4] a[3, 2] a[4, 1] 2 - a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 3] 2 + a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 1] - a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 1] - a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[3, 4] a[4, 2] + a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[3, 4] a[4, 1] + a[1, 3] a[2, 1] a[2, 4] a[3, 1] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 1] - a[1, 3] a[2, 1] a[3, 1] a[3, 2] a[3, 4] a[4, 3] + a[1, 3] a[2, 1] a[3, 1] a[3, 3] a[3, 4] a[4, 2] - a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] + a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[3, 4] a[4, 1] 2 + a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[3, 3] a[4, 1] + a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 4] - a[1, 3] a[2, 4] a[3, 1] a[3, 4] a[4, 1] a[4, 2] 2 2 + a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 2] 2 + a[1, 4] a[2, 1] a[3, 2] a[4, 2] a[4, 4] 2 2 - a[1, 4] a[2, 1] a[3, 4] a[4, 2] - a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[3, 2] a[4, 3] + a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[3, 3] a[4, 2] - a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[4, 2] a[4, 4] + a[1, 4] a[2, 1] a[2, 2] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 1] a[2, 4] a[3, 1] a[4, 2] - a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 2] + a[1, 4] a[2, 1] a[3, 1] a[3, 2] a[3, 3] a[4, 3] 2 - a[1, 4] a[2, 1] a[3, 1] a[3, 3] a[4, 2] + a[1, 4] a[2, 1] a[3, 1] a[3, 3] a[4, 2] a[4, 4] - a[1, 4] a[2, 1] a[3, 1] a[3, 4] a[4, 2] a[4, 3] + a[1, 4] a[2, 1] a[3, 2] a[3, 4] a[4, 1] a[4, 3] - a[1, 4] a[2, 1] a[3, 3] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] 2 - a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 4] + a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 4] a[2, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 3]) = 0 in Maple notation (-a[1,1]*a[2,1]^2*a[2,2]*a[3,2]*a[4,3]+a[1,1]*a[2,1]^2*a[2,3]*a[3,2]*a[4,2]+a[1 ,1]*a[2,1]^2*a[3,2]*a[4,3]*a[4,4]-a[1,1]*a[2,1]^2*a[3,4]*a[4,2]*a[4,3]+a[1,1]*a [2,1]*a[2,2]^2*a[3,1]*a[4,3]-a[1,1]*a[2,1]*a[2,2]*a[2,3]*a[3,1]*a[4,2]-a[1,1]*a [2,1]*a[2,2]*a[3,1]*a[3,3]*a[4,3]-a[1,1]*a[2,1]*a[2,2]*a[3,1]*a[4,3]*a[4,4]+a[1 ,1]*a[2,1]*a[2,3]*a[3,1]*a[3,3]*a[4,2]+a[1,1]*a[2,1]*a[2,3]*a[3,4]*a[4,1]*a[4,2 ]+a[1,1]*a[2,1]*a[2,4]*a[3,1]*a[4,2]*a[4,3]-a[1,1]*a[2,1]*a[2,4]*a[3,2]*a[4,1]* a[4,3]+a[1,1]*a[2,1]*a[3,1]*a[3,3]*a[4,3]*a[4,4]-a[1,1]*a[2,1]*a[3,1]*a[3,4]*a[ 4,3]^2+a[1,1]*a[2,2]*a[2,3]*a[3,1]^2*a[4,3]+a[1,1]*a[2,2]*a[2,4]*a[3,1]*a[4,1]* a[4,3]-a[1,1]*a[2,3]^2*a[3,1]^2*a[4,2]-a[1,1]*a[2,3]*a[2,4]*a[3,1]*a[4,1]*a[4,2 ]-a[1,1]*a[2,3]*a[3,1]^2*a[4,3]*a[4,4]+a[1,1]*a[2,3]*a[3,1]*a[3,4]*a[4,1]*a[4,3 ]+a[1,1]*a[2,4]*a[3,1]^2*a[4,3]^2-a[1,1]*a[2,4]*a[3,1]*a[3,3]*a[4,1]*a[4,3]+a[1 ,2]*a[2,1]^3*a[3,2]*a[4,3]-a[1,2]*a[2,1]^2*a[2,2]*a[3,1]*a[4,3]-a[1,2]*a[2,1]^2 *a[2,3]*a[3,2]*a[4,1]+a[1,2]*a[2,1]^2*a[3,1]*a[3,3]*a[4,3]+a[1,2]*a[2,1]^2*a[3, 4]*a[4,1]*a[4,3]+a[1,2]*a[2,1]*a[2,2]*a[2,3]*a[3,1]*a[4,1]-a[1,2]*a[2,1]*a[2,3] *a[3,1]^2*a[4,3]-a[1,2]*a[2,1]*a[2,3]*a[3,1]*a[3,3]*a[4,1]-a[1,2]*a[2,1]*a[2,3] *a[3,4]*a[4,1]^2-a[1,2]*a[2,1]*a[2,4]*a[3,1]*a[4,1]*a[4,3]+a[1,2]*a[2,3]^2*a[3, 1]^2*a[4,1]+a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[4,1]^2-a[1,3]*a[2,1]^3*a[3,2]*a[4,2]+ a[1,3]*a[2,1]^2*a[2,2]*a[3,1]*a[4,2]+a[1,3]*a[2,1]^2*a[2,2]*a[3,2]*a[4,1]-a[1,3 ]*a[2,1]^2*a[3,1]*a[3,3]*a[4,2]-a[1,3]*a[2,1]^2*a[3,2]*a[4,1]*a[4,4]-a[1,3]*a[2 ,1]*a[2,2]^2*a[3,1]*a[4,1]+a[1,3]*a[2,1]*a[2,2]*a[3,1]*a[3,3]*a[4,1]+a[1,3]*a[2 ,1]*a[2,2]*a[3,1]*a[4,1]*a[4,4]+a[1,3]*a[2,1]*a[2,3]*a[3,1]^2*a[4,2]+a[1,3]*a[2 ,1]*a[2,4]*a[3,2]*a[4,1]^2-a[1,3]*a[2,1]*a[3,1]*a[3,3]*a[4,1]*a[4,4]+a[1,3]*a[2 ,1]*a[3,1]*a[3,4]*a[4,1]*a[4,3]-a[1,3]*a[2,2]*a[2,3]*a[3,1]^2*a[4,1]-a[1,3]*a[2 ,2]*a[2,4]*a[3,1]*a[4,1]^2+a[1,3]*a[2,3]*a[3,1]^2*a[4,1]*a[4,4]-a[1,3]*a[2,3]*a [3,1]*a[3,4]*a[4,1]^2-a[1,3]*a[2,4]*a[3,1]^2*a[4,1]*a[4,3]+a[1,3]*a[2,4]*a[3,1] *a[3,3]*a[4,1]^2+a[2,1]^2*a[2,2]*a[3,2]*a[4,3]*a[4,4]-a[2,1]^2*a[2,2]*a[3,4]*a[ 4,2]*a[4,3]-a[2,1]^2*a[2,3]*a[3,2]*a[4,2]*a[4,4]+a[2,1]^2*a[2,3]*a[3,4]*a[4,2]^ 2-a[2,1]^2*a[3,2]*a[3,4]*a[4,3]^2-a[2,1]^2*a[3,2]*a[4,3]*a[4,4]^2+a[2,1]^2*a[3, 3]*a[3,4]*a[4,2]*a[4,3]+a[2,1]^2*a[3,4]*a[4,2]*a[4,3]*a[4,4]-a[2,1]*a[2,2]^2*a[ 3,1]*a[4,3]*a[4,4]+a[2,1]*a[2,2]^2*a[3,4]*a[4,1]*a[4,3]+a[2,1]*a[2,2]*a[2,3]*a[ 3,1]*a[4,2]*a[4,4]-a[2,1]*a[2,2]*a[2,3]*a[3,4]*a[4,1]*a[4,2]+a[2,1]*a[2,2]*a[2, 4]*a[3,1]*a[4,2]*a[4,3]-a[2,1]*a[2,2]*a[2,4]*a[3,2]*a[4,1]*a[4,3]+a[2,1]*a[2,2] *a[3,1]*a[3,3]*a[4,3]*a[4,4]+a[2,1]*a[2,2]*a[3,1]*a[4,3]*a[4,4]^2-a[2,1]*a[2,2] *a[3,3]*a[3,4]*a[4,1]*a[4,3]-a[2,1]*a[2,2]*a[3,4]*a[4,1]*a[4,3]*a[4,4]-a[2,1]*a [2,3]*a[2,4]*a[3,1]*a[4,2]^2+a[2,1]*a[2,3]*a[2,4]*a[3,2]*a[4,1]*a[4,2]-a[2,1]*a [2,3]*a[3,1]*a[3,3]*a[4,2]*a[4,4]+a[2,1]*a[2,3]*a[3,2]*a[3,4]*a[4,1]*a[4,3]+a[2 ,1]*a[2,4]*a[3,1]*a[3,2]*a[4,3]^2-a[2,1]*a[2,4]*a[3,1]*a[3,3]*a[4,2]*a[4,3]-a[2 ,1]*a[2,4]*a[3,1]*a[4,2]*a[4,3]*a[4,4]+2*a[2,1]*a[2,4]*a[3,2]*a[4,1]*a[4,3]*a[4 ,4]-a[2,1]*a[2,4]*a[3,4]*a[4,1]*a[4,2]*a[4,3]-a[2,1]*a[3,1]*a[3,3]*a[4,3]*a[4,4 ]^2+a[2,1]*a[3,1]*a[3,4]*a[4,3]^2*a[4,4]+a[2,1]*a[3,3]*a[3,4]*a[4,1]*a[4,3]*a[4 ,4]-a[2,1]*a[3,4]^2*a[4,1]*a[4,3]^2-a[2,2]*a[2,3]*a[3,1]^2*a[4,3]*a[4,4]+a[2,2] *a[2,3]*a[3,1]*a[3,4]*a[4,1]*a[4,3]-a[2,2]*a[2,4]*a[3,1]*a[4,1]*a[4,3]*a[4,4]+a [2,2]*a[2,4]*a[3,4]*a[4,1]^2*a[4,3]+a[2,3]^2*a[3,1]^2*a[4,2]*a[4,4]-a[2,3]^2*a[ 3,1]*a[3,4]*a[4,1]*a[4,2]-a[2,3]*a[2,4]*a[3,1]*a[3,2]*a[4,1]*a[4,3]+a[2,3]*a[2, 4]*a[3,1]*a[3,3]*a[4,1]*a[4,2]+a[2,3]*a[3,1]^2*a[4,3]*a[4,4]^2-2*a[2,3]*a[3,1]* a[3,4]*a[4,1]*a[4,3]*a[4,4]+a[2,3]*a[3,4]^2*a[4,1]^2*a[4,3]+a[2,4]^2*a[3,1]*a[4 ,1]*a[4,2]*a[4,3]-a[2,4]^2*a[3,2]*a[4,1]^2*a[4,3]-a[2,4]*a[3,1]^2*a[4,3]^2*a[4, 4]+a[2,4]*a[3,1]*a[3,3]*a[4,1]*a[4,3]*a[4,4]+a[2,4]*a[3,1]*a[3,4]*a[4,1]*a[4,3] ^2-a[2,4]*a[3,3]*a[3,4]*a[4,1]^2*a[4,3])*X[1,2]+(a[1,1]*a[1,2]*a[2,1]*a[2,2]*a[ 3,2]*a[4,3]-a[1,1]*a[1,2]*a[2,1]*a[2,3]*a[3,2]*a[4,2]-a[1,1]*a[1,2]*a[2,1]*a[3, 2]*a[4,3]*a[4,4]+a[1,1]*a[1,2]*a[2,1]*a[3,4]*a[4,2]*a[4,3]-a[1,1]*a[1,2]*a[2,2] ^2*a[3,1]*a[4,3]+a[1,1]*a[1,2]*a[2,2]*a[2,3]*a[3,1]*a[4,2]+a[1,1]*a[1,2]*a[2,2] *a[3,1]*a[3,3]*a[4,3]+a[1,1]*a[1,2]*a[2,2]*a[3,1]*a[4,3]*a[4,4]-a[1,1]*a[1,2]*a [2,3]*a[3,1]*a[3,3]*a[4,2]-a[1,1]*a[1,2]*a[2,3]*a[3,4]*a[4,1]*a[4,2]-a[1,1]*a[1 ,2]*a[2,4]*a[3,1]*a[4,2]*a[4,3]+a[1,1]*a[1,2]*a[2,4]*a[3,2]*a[4,1]*a[4,3]-a[1,1 ]*a[1,2]*a[3,1]*a[3,3]*a[4,3]*a[4,4]+a[1,1]*a[1,2]*a[3,1]*a[3,4]*a[4,3]^2-a[1,1 ]*a[1,3]*a[2,2]*a[3,1]*a[3,2]*a[4,3]+a[1,1]*a[1,3]*a[2,3]*a[3,1]*a[3,2]*a[4,2]+ a[1,1]*a[1,3]*a[3,1]*a[3,2]*a[4,3]*a[4,4]-a[1,1]*a[1,3]*a[3,1]*a[3,4]*a[4,2]*a[ 4,3]-a[1,1]*a[1,4]*a[2,2]*a[3,1]*a[4,2]*a[4,3]+a[1,1]*a[1,4]*a[2,3]*a[3,1]*a[4, 2]^2-a[1,1]*a[1,4]*a[3,1]*a[3,2]*a[4,3]^2+a[1,1]*a[1,4]*a[3,1]*a[3,3]*a[4,2]*a[ 4,3]-a[1,2]^2*a[2,1]^2*a[3,2]*a[4,3]+a[1,2]^2*a[2,1]*a[2,2]*a[3,1]*a[4,3]+a[1,2 ]^2*a[2,1]*a[2,3]*a[3,2]*a[4,1]-a[1,2]^2*a[2,1]*a[3,1]*a[3,3]*a[4,3]-a[1,2]^2*a [2,1]*a[3,4]*a[4,1]*a[4,3]-a[1,2]^2*a[2,2]*a[2,3]*a[3,1]*a[4,1]+a[1,2]^2*a[2,3] *a[3,1]*a[3,3]*a[4,1]+a[1,2]^2*a[2,3]*a[3,4]*a[4,1]^2+a[1,2]*a[1,3]*a[2,1]^2*a[ 3,2]*a[4,2]-a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[3,1]*a[4,2]-a[1,2]*a[1,3]*a[2,1]*a[2, 2]*a[3,2]*a[4,1]+a[1,2]*a[1,3]*a[2,1]*a[3,1]*a[3,2]*a[4,3]+a[1,2]*a[1,3]*a[2,1] *a[3,1]*a[3,3]*a[4,2]+a[1,2]*a[1,3]*a[2,1]*a[3,2]*a[4,1]*a[4,4]+a[1,2]*a[1,3]*a [2,2]^2*a[3,1]*a[4,1]-a[1,2]*a[1,3]*a[2,2]*a[3,1]*a[3,3]*a[4,1]-a[1,2]*a[1,3]*a [2,2]*a[3,1]*a[4,1]*a[4,4]-a[1,2]*a[1,3]*a[2,3]*a[3,1]*a[3,2]*a[4,1]+a[1,2]*a[1 ,3]*a[2,4]*a[3,1]*a[4,1]*a[4,2]-a[1,2]*a[1,3]*a[2,4]*a[3,2]*a[4,1]^2+a[1,2]*a[1 ,3]*a[3,1]*a[3,3]*a[4,1]*a[4,4]-a[1,2]*a[1,3]*a[3,1]*a[3,4]*a[4,1]*a[4,3]+a[1,2 ]*a[1,4]*a[2,1]*a[3,1]*a[4,2]*a[4,3]-a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[4,1]*a[4,2]- a[1,2]*a[2,1]*a[2,2]*a[3,2]*a[4,3]*a[4,4]+a[1,2]*a[2,1]*a[2,2]*a[3,4]*a[4,2]*a[ 4,3]+a[1,2]*a[2,1]*a[2,3]*a[3,2]*a[4,2]*a[4,4]-a[1,2]*a[2,1]*a[2,3]*a[3,4]*a[4, 2]^2+a[1,2]*a[2,1]*a[3,2]*a[3,4]*a[4,3]^2+a[1,2]*a[2,1]*a[3,2]*a[4,3]*a[4,4]^2- a[1,2]*a[2,1]*a[3,3]*a[3,4]*a[4,2]*a[4,3]-a[1,2]*a[2,1]*a[3,4]*a[4,2]*a[4,3]*a[ 4,4]+a[1,2]*a[2,2]^2*a[3,1]*a[4,3]*a[4,4]-a[1,2]*a[2,2]^2*a[3,4]*a[4,1]*a[4,3]- a[1,2]*a[2,2]*a[2,3]*a[3,1]*a[4,2]*a[4,4]+a[1,2]*a[2,2]*a[2,3]*a[3,4]*a[4,1]*a[ 4,2]-a[1,2]*a[2,2]*a[2,4]*a[3,1]*a[4,2]*a[4,3]+a[1,2]*a[2,2]*a[2,4]*a[3,2]*a[4, 1]*a[4,3]-a[1,2]*a[2,2]*a[3,1]*a[3,3]*a[4,3]*a[4,4]-a[1,2]*a[2,2]*a[3,1]*a[4,3] *a[4,4]^2+a[1,2]*a[2,2]*a[3,3]*a[3,4]*a[4,1]*a[4,3]+a[1,2]*a[2,2]*a[3,4]*a[4,1] *a[4,3]*a[4,4]+a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[4,2]^2-a[1,2]*a[2,3]*a[2,4]*a[3,2] *a[4,1]*a[4,2]+a[1,2]*a[2,3]*a[3,1]*a[3,3]*a[4,2]*a[4,4]-a[1,2]*a[2,3]*a[3,1]*a [3,4]*a[4,2]*a[4,3]+a[1,2]*a[2,4]*a[3,1]*a[3,3]*a[4,2]*a[4,3]+a[1,2]*a[2,4]*a[3 ,1]*a[4,2]*a[4,3]*a[4,4]-a[1,2]*a[2,4]*a[3,2]*a[3,3]*a[4,1]*a[4,3]-a[1,2]*a[2,4 ]*a[3,2]*a[4,1]*a[4,3]*a[4,4]+a[1,2]*a[3,1]*a[3,3]*a[4,3]*a[4,4]^2-a[1,2]*a[3,1 ]*a[3,4]*a[4,3]^2*a[4,4]-a[1,2]*a[3,3]*a[3,4]*a[4,1]*a[4,3]*a[4,4]+a[1,2]*a[3,4 ]^2*a[4,1]*a[4,3]^2-a[1,3]^2*a[2,1]*a[3,1]*a[3,2]*a[4,2]+a[1,3]^2*a[2,2]*a[3,1] *a[3,2]*a[4,1]-a[1,3]^2*a[3,1]*a[3,2]*a[4,1]*a[4,4]+a[1,3]^2*a[3,1]*a[3,4]*a[4, 1]*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[3,1]*a[4,2]^2+a[1,3]*a[1,4]*a[2,2]*a[3,1]*a[4, 1]*a[4,2]+a[1,3]*a[1,4]*a[3,1]*a[3,2]*a[4,1]*a[4,3]-a[1,3]*a[1,4]*a[3,1]*a[3,3] *a[4,1]*a[4,2]+a[1,3]*a[2,2]*a[3,1]*a[3,2]*a[4,3]*a[4,4]-a[1,3]*a[2,2]*a[3,2]*a [3,4]*a[4,1]*a[4,3]-a[1,3]*a[2,3]*a[3,1]*a[3,2]*a[4,2]*a[4,4]+a[1,3]*a[2,3]*a[3 ,1]*a[3,4]*a[4,2]^2-a[1,3]*a[2,4]*a[3,1]*a[3,2]*a[4,2]*a[4,3]+a[1,3]*a[2,4]*a[3 ,2]^2*a[4,1]*a[4,3]-a[1,3]*a[3,1]*a[3,2]*a[4,3]*a[4,4]^2+a[1,3]*a[3,1]*a[3,4]*a [4,2]*a[4,3]*a[4,4]+a[1,3]*a[3,2]*a[3,4]*a[4,1]*a[4,3]*a[4,4]-a[1,3]*a[3,4]^2*a [4,1]*a[4,2]*a[4,3]-a[1,4]*a[2,1]*a[3,2]^2*a[4,3]^2+a[1,4]*a[2,1]*a[3,2]*a[3,3] *a[4,2]*a[4,3]-a[1,4]*a[2,1]*a[3,2]*a[4,2]*a[4,3]*a[4,4]+a[1,4]*a[2,1]*a[3,4]*a [4,2]^2*a[4,3]+a[1,4]*a[2,2]*a[3,1]*a[4,2]*a[4,3]*a[4,4]-a[1,4]*a[2,2]*a[3,4]*a [4,1]*a[4,2]*a[4,3]+a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,2]*a[4,3]-a[1,4]*a[2,3]*a[3 ,1]*a[3,3]*a[4,2]^2-a[1,4]*a[2,4]*a[3,1]*a[4,2]^2*a[4,3]+a[1,4]*a[2,4]*a[3,2]*a [4,1]*a[4,2]*a[4,3]+a[1,4]*a[3,1]*a[3,2]*a[4,3]^2*a[4,4]-a[1,4]*a[3,1]*a[3,3]*a [4,2]*a[4,3]*a[4,4]-a[1,4]*a[3,2]*a[3,4]*a[4,1]*a[4,3]^2+a[1,4]*a[3,3]*a[3,4]*a [4,1]*a[4,2]*a[4,3])*X[2,1]+(-a[1,1]*a[1,2]*a[2,2]*a[2,3]*a[3,1]*a[4,3]-a[1,1]* a[1,2]*a[2,2]*a[2,4]*a[4,1]*a[4,3]+a[1,1]*a[1,2]*a[2,3]^2*a[3,1]*a[4,2]+a[1,1]* a[1,2]*a[2,3]*a[2,4]*a[4,1]*a[4,2]+a[1,1]*a[1,2]*a[2,3]*a[3,1]*a[4,3]*a[4,4]-a[ 1,1]*a[1,2]*a[2,3]*a[3,4]*a[4,1]*a[4,3]-a[1,1]*a[1,2]*a[2,4]*a[3,1]*a[4,3]^2+a[ 1,1]*a[1,2]*a[2,4]*a[3,3]*a[4,1]*a[4,3]+a[1,1]*a[1,3]*a[2,1]*a[2,2]*a[3,2]*a[4, 3]-a[1,1]*a[1,3]*a[2,1]*a[2,3]*a[3,2]*a[4,2]-a[1,1]*a[1,3]*a[2,1]*a[3,2]*a[4,3] *a[4,4]+a[1,1]*a[1,3]*a[2,1]*a[3,4]*a[4,2]*a[4,3]+a[1,1]*a[1,4]*a[2,1]*a[2,2]*a [4,2]*a[4,3]-a[1,1]*a[1,4]*a[2,1]*a[2,3]*a[4,2]^2+a[1,1]*a[1,4]*a[2,1]*a[3,2]*a [4,3]^2-a[1,1]*a[1,4]*a[2,1]*a[3,3]*a[4,2]*a[4,3]+a[1,2]^2*a[2,1]*a[2,3]*a[3,1] *a[4,3]+a[1,2]^2*a[2,1]*a[2,4]*a[4,1]*a[4,3]-a[1,2]^2*a[2,3]^2*a[3,1]*a[4,1]-a[ 1,2]^2*a[2,3]*a[2,4]*a[4,1]^2-a[1,2]*a[1,3]*a[2,1]^2*a[3,2]*a[4,3]-a[1,2]*a[1,3 ]*a[2,1]*a[2,3]*a[3,1]*a[4,2]+a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,2]*a[4,1]-a[1,2]* a[1,3]*a[2,1]*a[2,4]*a[4,1]*a[4,2]+a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,1]*a[4,1]+a[ 1,2]*a[1,3]*a[2,2]*a[2,4]*a[4,1]^2-a[1,2]*a[1,3]*a[2,3]*a[3,1]*a[4,1]*a[4,4]+a[ 1,2]*a[1,3]*a[2,3]*a[3,4]*a[4,1]^2+a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[4,1]*a[4,3]-a[ 1,2]*a[1,3]*a[2,4]*a[3,3]*a[4,1]^2-a[1,2]*a[1,4]*a[2,1]^2*a[4,2]*a[4,3]+a[1,2]* a[1,4]*a[2,1]*a[2,3]*a[4,1]*a[4,2]+a[1,2]*a[2,2]*a[2,3]*a[3,1]*a[4,3]*a[4,4]-a[ 1,2]*a[2,2]*a[2,3]*a[3,4]*a[4,1]*a[4,3]-a[1,2]*a[2,2]*a[2,4]*a[3,1]*a[4,3]^2+a[ 1,2]*a[2,2]*a[2,4]*a[3,3]*a[4,1]*a[4,3]-a[1,2]*a[2,3]^2*a[3,1]*a[4,2]*a[4,4]+a[ 1,2]*a[2,3]^2*a[3,4]*a[4,1]*a[4,2]+a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[4,2]*a[4,3]-a[ 1,2]*a[2,3]*a[2,4]*a[3,3]*a[4,1]*a[4,2]-a[1,2]*a[2,3]*a[3,1]*a[3,4]*a[4,3]^2-a[ 1,2]*a[2,3]*a[3,1]*a[4,3]*a[4,4]^2+a[1,2]*a[2,3]*a[3,3]*a[3,4]*a[4,1]*a[4,3]+a[ 1,2]*a[2,3]*a[3,4]*a[4,1]*a[4,3]*a[4,4]+a[1,2]*a[2,4]*a[3,1]*a[3,3]*a[4,3]^2+a[ 1,2]*a[2,4]*a[3,1]*a[4,3]^2*a[4,4]-a[1,2]*a[2,4]*a[3,3]^2*a[4,1]*a[4,3]-a[1,2]* a[2,4]*a[3,4]*a[4,1]*a[4,3]^2+a[1,3]^2*a[2,1]^2*a[3,2]*a[4,2]-a[1,3]^2*a[2,1]*a [2,2]*a[3,2]*a[4,1]+a[1,3]^2*a[2,1]*a[3,2]*a[4,1]*a[4,4]-a[1,3]^2*a[2,1]*a[3,4] *a[4,1]*a[4,2]+a[1,3]*a[1,4]*a[2,1]^2*a[4,2]^2-a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[4, 1]*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[4,1]*a[4,3]+a[1,3]*a[1,4]*a[2,1]*a[3,3] *a[4,1]*a[4,2]-a[1,3]*a[2,1]*a[2,2]*a[3,2]*a[4,3]*a[4,4]+a[1,3]*a[2,1]*a[2,2]*a [3,4]*a[4,2]*a[4,3]+a[1,3]*a[2,1]*a[2,3]*a[3,2]*a[4,2]*a[4,4]-a[1,3]*a[2,1]*a[2 ,3]*a[3,4]*a[4,2]^2+a[1,3]*a[2,1]*a[3,2]*a[3,4]*a[4,3]^2+a[1,3]*a[2,1]*a[3,2]*a [4,3]*a[4,4]^2-a[1,3]*a[2,1]*a[3,3]*a[3,4]*a[4,2]*a[4,3]-a[1,3]*a[2,1]*a[3,4]*a [4,2]*a[4,3]*a[4,4]+a[1,3]*a[2,3]*a[3,1]*a[3,4]*a[4,2]*a[4,3]-a[1,3]*a[2,3]*a[3 ,2]*a[3,4]*a[4,1]*a[4,3]-a[1,3]*a[2,4]*a[3,1]*a[3,2]*a[4,3]^2+a[1,3]*a[2,4]*a[3 ,2]*a[3,3]*a[4,1]*a[4,3]-a[1,3]*a[2,4]*a[3,2]*a[4,1]*a[4,3]*a[4,4]+a[1,3]*a[2,4 ]*a[3,4]*a[4,1]*a[4,2]*a[4,3]+a[1,4]*a[2,1]*a[2,2]*a[3,2]*a[4,3]^2-a[1,4]*a[2,1 ]*a[2,2]*a[3,3]*a[4,2]*a[4,3]-a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[4,2]*a[4,3]+a[1,4]* a[2,1]*a[2,3]*a[3,3]*a[4,2]^2-a[1,4]*a[2,1]*a[3,2]*a[3,3]*a[4,3]^2-a[1,4]*a[2,1 ]*a[3,2]*a[4,3]^2*a[4,4]+a[1,4]*a[2,1]*a[3,3]^2*a[4,2]*a[4,3]+a[1,4]*a[2,1]*a[3 ,4]*a[4,2]*a[4,3]^2+a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,3]^2-a[1,4]*a[2,3]*a[3,1]*a [3,3]*a[4,2]*a[4,3]+a[1,4]*a[2,3]*a[3,1]*a[4,2]*a[4,3]*a[4,4]-a[1,4]*a[2,3]*a[3 ,4]*a[4,1]*a[4,2]*a[4,3]-a[1,4]*a[2,4]*a[3,1]*a[4,2]*a[4,3]^2+a[1,4]*a[2,4]*a[3 ,2]*a[4,1]*a[4,3]^2)*X[3,1]+X[4,3]*(a[1,2]*a[2,1]*a[2,3]*a[3,1]*a[3,4]*a[4,2]-a [1,2]*a[2,1]*a[2,3]*a[3,2]*a[3,4]*a[4,1]-a[1,2]*a[2,1]*a[2,4]*a[3,1]*a[3,2]*a[4 ,3]+a[1,2]*a[2,1]*a[2,4]*a[3,2]*a[3,3]*a[4,1]-a[1,2]*a[2,1]*a[2,4]*a[3,2]*a[4,1 ]*a[4,4]+a[1,2]*a[2,1]*a[2,4]*a[3,4]*a[4,1]*a[4,2]+a[1,2]*a[2,2]*a[2,4]*a[3,1]^ 2*a[4,3]-a[1,2]*a[2,2]*a[2,4]*a[3,1]*a[3,3]*a[4,1]+a[1,2]*a[2,2]*a[2,4]*a[3,1]* a[4,1]*a[4,4]-a[1,2]*a[2,2]*a[2,4]*a[3,4]*a[4,1]^2-a[1,2]*a[2,3]*a[2,4]*a[3,1]^ 2*a[4,2]+a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[3,2]*a[4,1]+a[1,2]*a[2,3]*a[3,1]^2*a[3,4 ]*a[4,3]-a[1,2]*a[2,3]*a[3,1]*a[3,3]*a[3,4]*a[4,1]+a[1,2]*a[2,3]*a[3,1]*a[3,4]* a[4,1]*a[4,4]-a[1,2]*a[2,3]*a[3,4]^2*a[4,1]^2-a[1,2]*a[2,4]^2*a[3,1]*a[4,1]*a[4 ,2]+a[1,2]*a[2,4]^2*a[3,2]*a[4,1]^2-a[1,2]*a[2,4]*a[3,1]^2*a[3,3]*a[4,3]+a[1,2] *a[2,4]*a[3,1]*a[3,3]^2*a[4,1]-a[1,2]*a[2,4]*a[3,1]*a[3,3]*a[4,1]*a[4,4]+a[1,2] *a[2,4]*a[3,3]*a[3,4]*a[4,1]^2-a[1,3]*a[2,1]*a[2,2]*a[3,1]*a[3,4]*a[4,2]+a[1,3] *a[2,1]*a[2,2]*a[3,2]*a[3,4]*a[4,1]+a[1,3]*a[2,1]*a[2,4]*a[3,1]*a[3,2]*a[4,2]-a [1,3]*a[2,1]*a[2,4]*a[3,2]^2*a[4,1]-a[1,3]*a[2,1]*a[3,1]*a[3,2]*a[3,4]*a[4,3]+a [1,3]*a[2,1]*a[3,1]*a[3,3]*a[3,4]*a[4,2]-a[1,3]*a[2,1]*a[3,2]*a[3,4]*a[4,1]*a[4 ,4]+a[1,3]*a[2,1]*a[3,4]^2*a[4,1]*a[4,2]-a[1,3]*a[2,3]*a[3,1]^2*a[3,4]*a[4,2]+a [1,3]*a[2,3]*a[3,1]*a[3,2]*a[3,4]*a[4,1]+a[1,3]*a[2,4]*a[3,1]^2*a[3,2]*a[4,3]-a [1,3]*a[2,4]*a[3,1]*a[3,2]*a[3,3]*a[4,1]+a[1,3]*a[2,4]*a[3,1]*a[3,2]*a[4,1]*a[4 ,4]-a[1,3]*a[2,4]*a[3,1]*a[3,4]*a[4,1]*a[4,2]+a[1,4]*a[2,1]^2*a[3,2]^2*a[4,3]-a [1,4]*a[2,1]^2*a[3,2]*a[3,3]*a[4,2]+a[1,4]*a[2,1]^2*a[3,2]*a[4,2]*a[4,4]-a[1,4] *a[2,1]^2*a[3,4]*a[4,2]^2-a[1,4]*a[2,1]*a[2,2]*a[3,1]*a[3,2]*a[4,3]+a[1,4]*a[2, 1]*a[2,2]*a[3,1]*a[3,3]*a[4,2]-a[1,4]*a[2,1]*a[2,2]*a[3,1]*a[4,2]*a[4,4]+a[1,4] *a[2,1]*a[2,2]*a[3,4]*a[4,1]*a[4,2]+a[1,4]*a[2,1]*a[2,4]*a[3,1]*a[4,2]^2-a[1,4] *a[2,1]*a[2,4]*a[3,2]*a[4,1]*a[4,2]+a[1,4]*a[2,1]*a[3,1]*a[3,2]*a[3,3]*a[4,3]-a [1,4]*a[2,1]*a[3,1]*a[3,3]^2*a[4,2]+a[1,4]*a[2,1]*a[3,1]*a[3,3]*a[4,2]*a[4,4]-a [1,4]*a[2,1]*a[3,1]*a[3,4]*a[4,2]*a[4,3]+a[1,4]*a[2,1]*a[3,2]*a[3,4]*a[4,1]*a[4 ,3]-a[1,4]*a[2,1]*a[3,3]*a[3,4]*a[4,1]*a[4,2]-a[1,4]*a[2,3]*a[3,1]^2*a[3,2]*a[4 ,3]+a[1,4]*a[2,3]*a[3,1]^2*a[3,3]*a[4,2]-a[1,4]*a[2,3]*a[3,1]^2*a[4,2]*a[4,4]+a [1,4]*a[2,3]*a[3,1]*a[3,4]*a[4,1]*a[4,2]+a[1,4]*a[2,4]*a[3,1]^2*a[4,2]*a[4,3]-a [1,4]*a[2,4]*a[3,1]*a[3,2]*a[4,1]*a[4,3]) = 0 ------------------------------------ Theorem number, 25, : let, {X[1, 2], X[2, 1], X[3, 4], X[4, 3]}, be the entri\ es of an ARBITRARY power of the general matrix M, we always have the lin\ ear relation 2 (-a[1, 1] a[2, 1] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 1] a[2, 1] a[2, 4] a[3, 2] a[4, 3] + a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 1] - a[1, 1] a[1, 2] a[2, 1] a[2, 4] a[3, 1] a[4, 3] 2 + a[1, 1] a[1, 3] a[2, 1] a[3, 4] a[4, 2] - a[1, 1] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 1] 2 - a[1, 1] a[1, 4] a[2, 1] a[3, 2] a[4, 3] + a[1, 1] a[1, 4] a[2, 1] a[2, 3] a[3, 1] a[4, 2] + a[1, 1] a[2, 1] a[2, 3] a[3, 3] a[3, 4] a[4, 2] + a[1, 1] a[2, 1] a[2, 3] a[3, 4] a[4, 2] a[4, 4] - a[1, 1] a[2, 1] a[2, 4] a[3, 2] a[3, 3] a[4, 3] - a[1, 1] a[2, 1] a[2, 4] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 1] a[2, 3] a[3, 1] a[3, 4] a[4, 2] + a[1, 1] a[2, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] - a[1, 1] a[2, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 1] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 1] a[4, 1] 2 + a[1, 2] a[1, 4] a[2, 1] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 1] a[4, 1] 2 - a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 3] + a[1, 2] a[2, 1] a[2, 2] a[2, 3] a[3, 4] a[4, 1] - a[1, 2] a[2, 1] a[2, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[2, 1] a[2, 3] a[2, 4] a[3, 1] a[4, 2] - a[1, 2] a[2, 1] a[2, 3] a[2, 4] a[3, 2] a[4, 1] - a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[3, 4] a[4, 1] - a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 1] a[4, 4] + a[1, 2] a[2, 1] a[2, 4] a[3, 1] a[3, 3] a[4, 3] + a[1, 2] a[2, 1] a[2, 4] a[3, 1] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 3] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 1] 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 4] 2 - a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 1] + a[1, 3] a[2, 1] a[2, 2] a[2, 4] a[3, 2] a[4, 1] + a[1, 3] a[2, 1] a[2, 2] a[3, 3] a[3, 4] a[4, 1] + a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 1] a[4, 4] + a[1, 3] a[2, 1] a[2, 3] a[3, 1] a[3, 4] a[4, 2] + a[1, 3] a[2, 1] a[2, 4] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 3] - a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 1] 2 - a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 1] + a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 4] 2 2 - a[1, 3] a[2, 3] a[3, 4] a[4, 1] - a[1, 3] a[2, 4] a[3, 1] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 1] 2 - a[1, 4] a[2, 1] a[2, 2] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 2] 2 + a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 3] 2 + a[1, 4] a[2, 1] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[4, 3] - a[1, 4] a[2, 1] a[2, 2] a[2, 3] a[3, 1] a[4, 2] - a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[3, 3] a[4, 3] - a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[4, 3] a[4, 4] - a[1, 4] a[2, 1] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 3] + a[1, 4] a[2, 1] a[3, 1] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 4] a[2, 1] a[3, 1] a[3, 4] a[4, 3] 2 + a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 3] + a[1, 4] a[2, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 3] 2 - a[1, 4] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 3] 2 2 + a[1, 4] a[2, 4] a[3, 1] a[4, 3] - a[1, 4] a[2, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 3] - a[2, 1] a[2, 3] a[3, 3] a[3, 4] a[4, 2] a[4, 4] 2 + a[2, 1] a[2, 3] a[3, 4] a[4, 2] a[4, 3] + a[2, 1] a[2, 4] a[3, 2] a[3, 3] a[4, 3] a[4, 4] 2 - a[2, 1] a[2, 4] a[3, 2] a[3, 4] a[4, 3] 2 + a[2, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 4] 2 2 - a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[2, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] a[4, 4] - a[2, 3] a[2, 4] a[3, 1] a[3, 4] a[4, 2] a[4, 3] + a[2, 3] a[2, 4] a[3, 2] a[3, 4] a[4, 1] a[4, 3] + a[2, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 1] a[4, 2] 2 2 + a[2, 4] a[3, 1] a[3, 2] a[4, 3] 2 - a[2, 4] a[3, 2] a[3, 3] a[4, 1] a[4, 3]) X[1, 2] + ( 2 a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 1] a[1, 2] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 1] 2 + a[1, 1] a[1, 2] a[2, 4] a[3, 1] a[4, 3] - a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 2] + a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 1] + a[1, 1] a[1, 2] a[1, 4] a[2, 1] a[3, 2] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 2] - a[1, 1] a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 2] - a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 2] a[4, 4] + a[1, 1] a[1, 2] a[2, 4] a[3, 2] a[3, 3] a[4, 3] + a[1, 1] a[1, 2] a[2, 4] a[3, 2] a[4, 3] a[4, 4] + a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 2] 2 - a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 3] 2 + a[1, 1] a[1, 4] a[2, 3] a[3, 4] a[4, 2] - a[1, 1] a[1, 4] a[2, 4] a[3, 2] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 1] 2 - a[1, 2] a[1, 4] a[2, 1] a[3, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 1] 2 + a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 2] 2 - a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 3] 2 - a[1, 2] a[2, 2] a[2, 3] a[3, 4] a[4, 1] 2 + a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[4, 3] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 2] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 1] 2 + a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 1] 2 + a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 3] 2 - a[1, 2] a[2, 4] a[3, 1] a[4, 3] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 1] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 2] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[3, 3] a[3, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 2] a[3, 4] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] + a[1, 2] a[1, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 4] 2 - a[1, 2] a[1, 3] a[3, 4] a[4, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[3, 2] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 2] - a[1, 2] a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 2] a[3, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 2] + a[1, 2] a[1, 4] a[2, 2] a[3, 1] a[3, 3] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[3, 1] a[4, 3] a[4, 4] - a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 2] a[1, 4] a[3, 1] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[1, 4] a[3, 1] a[3, 4] a[4, 3] + a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 2] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 2] a[4, 3] - a[1, 2] a[2, 4] a[3, 2] a[3, 3] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 2] a[3, 2] a[3, 4] a[4, 1] 2 - a[1, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 4] 2 2 + a[1, 3] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 4] a[4, 2] - a[1, 3] a[1, 4] a[2, 2] a[3, 1] a[3, 2] a[4, 3] + a[1, 3] a[1, 4] a[2, 2] a[3, 4] a[4, 1] a[4, 2] + a[1, 3] a[1, 4] a[3, 1] a[3, 2] a[4, 3] a[4, 4] - a[1, 3] a[1, 4] a[3, 1] a[3, 4] a[4, 2] a[4, 3] + a[1, 3] a[1, 4] a[3, 2] a[3, 4] a[4, 1] a[4, 3] - a[1, 3] a[1, 4] a[3, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 2] a[4, 4] 2 2 + a[1, 3] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 3] a[4, 4] - a[1, 3] a[2, 4] a[3, 2] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[3, 2] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 2] a[3, 1] a[4, 2] a[4, 3] 2 2 - a[1, 4] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 4] a[3, 1] a[3, 3] a[4, 2] a[4, 3] + a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 3] a[3, 3] a[3, 4] a[4, 2] 2 2 - a[1, 4] a[2, 4] a[3, 2] a[4, 3] + a[1, 4] a[2, 4] a[3, 2] a[3, 3] a[4, 2] a[4, 3]) X[2, 1] + ( -a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[4, 3] - a[1, 1] a[1, 2] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 + a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[4, 2] + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[4, 1] a[4, 2] + a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[4, 3] a[4, 4] - a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 1] a[1, 2] a[2, 4] a[3, 3] a[4, 1] a[4, 3] + a[1, 1] a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[4, 3] - a[1, 1] a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 2] - a[1, 1] a[1, 3] a[2, 1] a[3, 2] a[4, 3] a[4, 4] + a[1, 1] a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 3] + a[1, 1] a[1, 4] a[2, 1] a[2, 2] a[4, 2] a[4, 3] 2 - a[1, 1] a[1, 4] a[2, 1] a[2, 3] a[4, 2] 2 + a[1, 1] a[1, 4] a[2, 1] a[3, 2] a[4, 3] - a[1, 1] a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 3] 2 + a[1, 2] a[2, 1] a[2, 3] a[3, 1] a[4, 3] 2 + a[1, 2] a[2, 1] a[2, 4] a[4, 1] a[4, 3] 2 2 2 2 - a[1, 2] a[2, 3] a[3, 1] a[4, 1] - a[1, 2] a[2, 3] a[2, 4] a[4, 1] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 1] - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 3] a[3, 1] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 3] a[3, 4] a[4, 1] + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[4, 1] 2 - a[1, 2] a[1, 4] a[2, 1] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 1] a[4, 2] + a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[4, 3] a[4, 4] - a[1, 2] a[2, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[2, 2] a[2, 4] a[3, 3] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 1] a[4, 2] a[4, 4] 2 + a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 2] a[2, 3] a[2, 4] a[3, 3] a[4, 1] a[4, 2] 2 - a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 3] + a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 3] 2 + a[1, 2] a[2, 4] a[3, 1] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 4] a[3, 3] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 3] 2 2 + a[1, 3] a[2, 1] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[4, 1] 2 + a[1, 3] a[2, 1] a[3, 2] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 2] 2 2 + a[1, 3] a[1, 4] a[2, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 1] a[4, 3] + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 1] a[4, 2] - a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 2] a[4, 3] + a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 2] a[4, 4] 2 - a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] 2 + a[1, 3] a[2, 1] a[3, 2] a[4, 3] a[4, 4] - a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 2] a[4, 3] - a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 3] a[4, 4] + a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 3] - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] + a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] a[4, 3] - a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 3] a[4, 4] + a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[2, 2] a[3, 2] a[4, 3] - a[1, 4] a[2, 1] a[2, 2] a[3, 3] a[4, 2] a[4, 3] - a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[2, 3] a[3, 3] a[4, 2] 2 - a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 3] 2 - a[1, 4] a[2, 1] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 4] a[2, 1] a[3, 3] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] a[4, 3] + a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 3] a[4, 4] - a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3] ) X[3, 4] + X[4, 3] ( a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[3, 4] + a[1, 1] a[1, 2] a[2, 2] a[2, 4] a[3, 4] a[4, 1] - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[3, 2] - a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 4] 2 + a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 1] 2 - a[1, 1] a[1, 2] a[2, 4] a[3, 2] a[4, 1] + a[1, 1] a[1, 2] a[2, 4] a[3, 1] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 1] - a[1, 1] a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[3, 4] 2 + a[1, 1] a[1, 3] a[2, 1] a[2, 4] a[3, 2] + a[1, 1] a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 4] 2 - a[1, 1] a[1, 3] a[2, 1] a[3, 4] a[4, 2] - a[1, 1] a[1, 4] a[2, 1] a[2, 2] a[3, 4] a[4, 2] + a[1, 1] a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 2] - a[1, 1] a[1, 4] a[2, 1] a[3, 2] a[3, 4] a[4, 3] + a[1, 1] a[1, 4] a[2, 1] a[3, 3] a[3, 4] a[4, 2] 2 - a[1, 2] a[2, 1] a[2, 3] a[3, 1] a[3, 4] 2 - a[1, 2] a[2, 1] a[2, 4] a[3, 4] a[4, 1] 2 2 2 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 1] + a[1, 2] a[2, 4] a[3, 1] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[3, 4] - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 1] a[3, 2] 2 + a[1, 2] a[1, 4] a[2, 1] a[3, 4] a[4, 2] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 1] a[3, 2] - a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[3, 1] a[4, 2] + a[1, 2] a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 1] 2 - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] - a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[3, 1] a[4, 1] 2 + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 4] - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 1] 2 - a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[3, 3] a[4, 1] - a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 4] 2 + a[1, 2] a[2, 2] a[2, 3] a[3, 4] a[4, 1] + a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[3, 4] a[4, 3] - a[1, 2] a[2, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 1] + a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 4] - a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[3, 4] a[4, 1] 2 + a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] 2 + a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 4] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 2] a[2, 4] a[3, 2] a[3, 3] a[4, 1] - a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[3, 4] a[4, 3] - a[1, 2] a[2, 4] a[3, 1] a[3, 4] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 1] 2 + a[1, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 3] 2 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 2] + a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[3, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[3, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[3, 4] a[4, 2] + a[1, 3] a[2, 1] a[2, 2] a[3, 2] a[3, 4] a[4, 4] 2 - a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 4] + a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 4] 2 + a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 4] 2 - a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] + a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[3, 4] a[4, 3] - a[1, 3] a[2, 4] a[3, 2] a[3, 3] a[3, 4] a[4, 1] + a[1, 3] a[2, 4] a[3, 2] a[3, 4] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] 2 2 - a[1, 4] a[2, 1] a[3, 2] a[4, 2] 2 + a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[4, 2] 2 + a[1, 4] a[2, 1] a[3, 1] a[3, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[3, 1] a[3, 3] a[4, 2] - a[1, 4] a[2, 1] a[2, 2] a[3, 2] a[3, 4] a[4, 3] + a[1, 4] a[2, 1] a[2, 2] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[4, 3] - a[1, 4] a[2, 1] a[2, 4] a[3, 2] a[3, 3] a[4, 2] + a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[3, 4] a[4, 3] + a[1, 4] a[2, 1] a[3, 2] a[3, 4] a[4, 3] a[4, 4] 2 - a[1, 4] a[2, 1] a[3, 3] a[3, 4] a[4, 2] 2 - a[1, 4] a[2, 1] a[3, 4] a[4, 2] a[4, 3] - a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[3, 4] a[4, 3] + a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[3, 4] a[4, 2] - a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 4] a[2, 4] a[3, 1] a[3, 4] a[4, 2] a[4, 3] - a[1, 4] a[2, 4] a[3, 2] a[3, 4] a[4, 1] a[4, 3]) = 0 in Maple notation (-a[1,1]^2*a[2,1]*a[2,3]*a[3,4]*a[4,2]+a[1,1]^2*a[2,1]*a[2,4]*a[3,2]*a[4,3]+a[1 ,1]*a[1,2]*a[2,1]*a[2,3]*a[3,4]*a[4,1]-a[1,1]*a[1,2]*a[2,1]*a[2,4]*a[3,1]*a[4,3 ]+a[1,1]*a[1,3]*a[2,1]^2*a[3,4]*a[4,2]-a[1,1]*a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[4,1 ]-a[1,1]*a[1,4]*a[2,1]^2*a[3,2]*a[4,3]+a[1,1]*a[1,4]*a[2,1]*a[2,3]*a[3,1]*a[4,2 ]+a[1,1]*a[2,1]*a[2,3]*a[3,3]*a[3,4]*a[4,2]+a[1,1]*a[2,1]*a[2,3]*a[3,4]*a[4,2]* a[4,4]-a[1,1]*a[2,1]*a[2,4]*a[3,2]*a[3,3]*a[4,3]-a[1,1]*a[2,1]*a[2,4]*a[3,2]*a[ 4,3]*a[4,4]-a[1,1]*a[2,3]^2*a[3,1]*a[3,4]*a[4,2]+a[1,1]*a[2,3]*a[2,4]*a[3,1]*a[ 3,2]*a[4,3]-a[1,1]*a[2,3]*a[2,4]*a[3,4]*a[4,1]*a[4,2]+a[1,1]*a[2,4]^2*a[3,2]*a[ 4,1]*a[4,3]-a[1,2]*a[1,3]*a[2,1]^2*a[3,4]*a[4,1]+a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[ 3,1]*a[4,1]+a[1,2]*a[1,4]*a[2,1]^2*a[3,1]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[ 3,1]*a[4,1]-a[1,2]*a[2,1]^2*a[2,3]*a[3,4]*a[4,2]+a[1,2]*a[2,1]^2*a[2,4]*a[3,2]* a[4,3]+a[1,2]*a[2,1]*a[2,2]*a[2,3]*a[3,4]*a[4,1]-a[1,2]*a[2,1]*a[2,2]*a[2,4]*a[ 3,1]*a[4,3]+a[1,2]*a[2,1]*a[2,3]*a[2,4]*a[3,1]*a[4,2]-a[1,2]*a[2,1]*a[2,3]*a[2, 4]*a[3,2]*a[4,1]-a[1,2]*a[2,1]*a[2,3]*a[3,3]*a[3,4]*a[4,1]-a[1,2]*a[2,1]*a[2,3] *a[3,4]*a[4,1]*a[4,4]+a[1,2]*a[2,1]*a[2,4]*a[3,1]*a[3,3]*a[4,3]+a[1,2]*a[2,1]*a [2,4]*a[3,1]*a[4,3]*a[4,4]+a[1,2]*a[2,3]^2*a[3,1]*a[3,4]*a[4,1]-a[1,2]*a[2,3]*a [2,4]*a[3,1]^2*a[4,3]+a[1,2]*a[2,3]*a[2,4]*a[3,4]*a[4,1]^2-a[1,2]*a[2,4]^2*a[3, 1]*a[4,1]*a[4,3]-a[1,3]*a[1,4]*a[2,1]^2*a[3,1]*a[4,2]+a[1,3]*a[1,4]*a[2,1]^2*a[ 3,2]*a[4,1]+a[1,3]*a[2,1]^2*a[2,2]*a[3,4]*a[4,2]-a[1,3]*a[2,1]^2*a[2,4]*a[3,2]* a[4,2]-a[1,3]*a[2,1]^2*a[3,3]*a[3,4]*a[4,2]-a[1,3]*a[2,1]^2*a[3,4]*a[4,2]*a[4,4 ]-a[1,3]*a[2,1]*a[2,2]^2*a[3,4]*a[4,1]+a[1,3]*a[2,1]*a[2,2]*a[2,4]*a[3,2]*a[4,1 ]+a[1,3]*a[2,1]*a[2,2]*a[3,3]*a[3,4]*a[4,1]+a[1,3]*a[2,1]*a[2,2]*a[3,4]*a[4,1]* a[4,4]+a[1,3]*a[2,1]*a[2,3]*a[3,1]*a[3,4]*a[4,2]+a[1,3]*a[2,1]*a[2,4]*a[3,4]*a[ 4,1]*a[4,2]-a[1,3]*a[2,1]*a[3,3]*a[3,4]*a[4,1]*a[4,4]+a[1,3]*a[2,1]*a[3,4]^2*a[ 4,1]*a[4,3]-a[1,3]*a[2,2]*a[2,3]*a[3,1]*a[3,4]*a[4,1]-a[1,3]*a[2,2]*a[2,4]*a[3, 4]*a[4,1]^2+a[1,3]*a[2,3]*a[3,1]*a[3,4]*a[4,1]*a[4,4]-a[1,3]*a[2,3]*a[3,4]^2*a[ 4,1]^2-a[1,3]*a[2,4]*a[3,1]*a[3,4]*a[4,1]*a[4,3]+a[1,3]*a[2,4]*a[3,3]*a[3,4]*a[ 4,1]^2-a[1,4]*a[2,1]^2*a[2,2]*a[3,2]*a[4,3]+a[1,4]*a[2,1]^2*a[2,3]*a[3,2]*a[4,2 ]+a[1,4]*a[2,1]^2*a[3,2]*a[3,3]*a[4,3]+a[1,4]*a[2,1]^2*a[3,2]*a[4,3]*a[4,4]+a[1 ,4]*a[2,1]*a[2,2]^2*a[3,1]*a[4,3]-a[1,4]*a[2,1]*a[2,2]*a[2,3]*a[3,1]*a[4,2]-a[1 ,4]*a[2,1]*a[2,2]*a[3,1]*a[3,3]*a[4,3]-a[1,4]*a[2,1]*a[2,2]*a[3,1]*a[4,3]*a[4,4 ]-a[1,4]*a[2,1]*a[2,3]*a[3,1]*a[3,2]*a[4,3]-a[1,4]*a[2,1]*a[2,4]*a[3,2]*a[4,1]* a[4,3]+a[1,4]*a[2,1]*a[3,1]*a[3,3]*a[4,3]*a[4,4]-a[1,4]*a[2,1]*a[3,1]*a[3,4]*a[ 4,3]^2+a[1,4]*a[2,2]*a[2,3]*a[3,1]^2*a[4,3]+a[1,4]*a[2,2]*a[2,4]*a[3,1]*a[4,1]* a[4,3]-a[1,4]*a[2,3]*a[3,1]^2*a[4,3]*a[4,4]+a[1,4]*a[2,3]*a[3,1]*a[3,4]*a[4,1]* a[4,3]+a[1,4]*a[2,4]*a[3,1]^2*a[4,3]^2-a[1,4]*a[2,4]*a[3,1]*a[3,3]*a[4,1]*a[4,3 ]-a[2,1]*a[2,3]*a[3,3]*a[3,4]*a[4,2]*a[4,4]+a[2,1]*a[2,3]*a[3,4]^2*a[4,2]*a[4,3 ]+a[2,1]*a[2,4]*a[3,2]*a[3,3]*a[4,3]*a[4,4]-a[2,1]*a[2,4]*a[3,2]*a[3,4]*a[4,3]^ 2+a[2,3]^2*a[3,1]*a[3,4]*a[4,2]*a[4,4]-a[2,3]^2*a[3,4]^2*a[4,1]*a[4,2]-a[2,3]*a [2,4]*a[3,1]*a[3,2]*a[4,3]*a[4,4]-a[2,3]*a[2,4]*a[3,1]*a[3,4]*a[4,2]*a[4,3]+a[2 ,3]*a[2,4]*a[3,2]*a[3,4]*a[4,1]*a[4,3]+a[2,3]*a[2,4]*a[3,3]*a[3,4]*a[4,1]*a[4,2 ]+a[2,4]^2*a[3,1]*a[3,2]*a[4,3]^2-a[2,4]^2*a[3,2]*a[3,3]*a[4,1]*a[4,3])*X[1,2]+ (a[1,1]^2*a[1,2]*a[2,3]*a[3,4]*a[4,2]-a[1,1]^2*a[1,2]*a[2,4]*a[3,2]*a[4,3]-a[1, 1]*a[1,2]^2*a[2,3]*a[3,4]*a[4,1]+a[1,1]*a[1,2]^2*a[2,4]*a[3,1]*a[4,3]-a[1,1]*a[ 1,2]*a[1,3]*a[2,1]*a[3,4]*a[4,2]+a[1,1]*a[1,2]*a[1,3]*a[2,4]*a[3,2]*a[4,1]+a[1, 1]*a[1,2]*a[1,4]*a[2,1]*a[3,2]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[4,2] -a[1,1]*a[1,2]*a[2,3]*a[3,3]*a[3,4]*a[4,2]-a[1,1]*a[1,2]*a[2,3]*a[3,4]*a[4,2]*a [4,4]+a[1,1]*a[1,2]*a[2,4]*a[3,2]*a[3,3]*a[4,3]+a[1,1]*a[1,2]*a[2,4]*a[3,2]*a[4 ,3]*a[4,4]+a[1,1]*a[1,3]*a[2,3]*a[3,2]*a[3,4]*a[4,2]-a[1,1]*a[1,3]*a[2,4]*a[3,2 ]^2*a[4,3]+a[1,1]*a[1,4]*a[2,3]*a[3,4]*a[4,2]^2-a[1,1]*a[1,4]*a[2,4]*a[3,2]*a[4 ,2]*a[4,3]+a[1,2]^2*a[1,3]*a[2,1]*a[3,4]*a[4,1]-a[1,2]^2*a[1,3]*a[2,4]*a[3,1]*a [4,1]-a[1,2]^2*a[1,4]*a[2,1]*a[3,1]*a[4,3]+a[1,2]^2*a[1,4]*a[2,3]*a[3,1]*a[4,1] +a[1,2]^2*a[2,1]*a[2,3]*a[3,4]*a[4,2]-a[1,2]^2*a[2,1]*a[2,4]*a[3,2]*a[4,3]-a[1, 2]^2*a[2,2]*a[2,3]*a[3,4]*a[4,1]+a[1,2]^2*a[2,2]*a[2,4]*a[3,1]*a[4,3]-a[1,2]^2* a[2,3]*a[2,4]*a[3,1]*a[4,2]+a[1,2]^2*a[2,3]*a[2,4]*a[3,2]*a[4,1]+a[1,2]^2*a[2,3 ]*a[3,3]*a[3,4]*a[4,1]+a[1,2]^2*a[2,3]*a[3,4]*a[4,1]*a[4,4]-a[1,2]^2*a[2,4]*a[3 ,1]*a[3,3]*a[4,3]-a[1,2]^2*a[2,4]*a[3,1]*a[4,3]*a[4,4]+a[1,2]*a[1,3]*a[1,4]*a[2 ,1]*a[3,1]*a[4,2]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[3,2]*a[4,1]-a[1,2]*a[1,3]*a[2,1 ]*a[2,2]*a[3,4]*a[4,2]+a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[4,2]+a[1,2]*a[1,3]* a[2,1]*a[3,3]*a[3,4]*a[4,2]+a[1,2]*a[1,3]*a[2,1]*a[3,4]*a[4,2]*a[4,4]+a[1,2]*a[ 1,3]*a[2,2]^2*a[3,4]*a[4,1]-a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,2]*a[4,1]-a[1,2]*a[ 1,3]*a[2,2]*a[3,3]*a[3,4]*a[4,1]-a[1,2]*a[1,3]*a[2,2]*a[3,4]*a[4,1]*a[4,4]-a[1, 2]*a[1,3]*a[2,3]*a[3,2]*a[3,4]*a[4,1]+a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[3,2]*a[4,3] +a[1,2]*a[1,3]*a[3,3]*a[3,4]*a[4,1]*a[4,4]-a[1,2]*a[1,3]*a[3,4]^2*a[4,1]*a[4,3] +a[1,2]*a[1,4]*a[2,1]*a[2,2]*a[3,2]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,2]*a [4,2]-a[1,2]*a[1,4]*a[2,1]*a[3,2]*a[3,3]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[3,2]*a[4 ,3]*a[4,4]-a[1,2]*a[1,4]*a[2,2]^2*a[3,1]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3 ,1]*a[4,2]+a[1,2]*a[1,4]*a[2,2]*a[3,1]*a[3,3]*a[4,3]+a[1,2]*a[1,4]*a[2,2]*a[3,1 ]*a[4,3]*a[4,4]-a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,2]+a[1,2]*a[1,4]*a[2,4]* a[3,1]*a[4,2]*a[4,3]-a[1,2]*a[1,4]*a[3,1]*a[3,3]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[ 3,1]*a[3,4]*a[4,3]^2+a[1,2]*a[2,3]*a[3,3]*a[3,4]*a[4,2]*a[4,4]-a[1,2]*a[2,3]*a[ 3,4]^2*a[4,2]*a[4,3]-a[1,2]*a[2,4]*a[3,2]*a[3,3]*a[4,3]*a[4,4]+a[1,2]*a[2,4]*a[ 3,2]*a[3,4]*a[4,3]^2-a[1,3]^2*a[2,1]*a[3,2]*a[3,4]*a[4,2]+a[1,3]^2*a[2,2]*a[3,2 ]*a[3,4]*a[4,1]-a[1,3]^2*a[3,2]*a[3,4]*a[4,1]*a[4,4]+a[1,3]^2*a[3,4]^2*a[4,1]*a [4,2]+a[1,3]*a[1,4]*a[2,1]*a[3,2]^2*a[4,3]-a[1,3]*a[1,4]*a[2,1]*a[3,4]*a[4,2]^2 -a[1,3]*a[1,4]*a[2,2]*a[3,1]*a[3,2]*a[4,3]+a[1,3]*a[1,4]*a[2,2]*a[3,4]*a[4,1]*a [4,2]+a[1,3]*a[1,4]*a[3,1]*a[3,2]*a[4,3]*a[4,4]-a[1,3]*a[1,4]*a[3,1]*a[3,4]*a[4 ,2]*a[4,3]+a[1,3]*a[1,4]*a[3,2]*a[3,4]*a[4,1]*a[4,3]-a[1,3]*a[1,4]*a[3,3]*a[3,4 ]*a[4,1]*a[4,2]-a[1,3]*a[2,3]*a[3,2]*a[3,4]*a[4,2]*a[4,4]+a[1,3]*a[2,3]*a[3,4]^ 2*a[4,2]^2+a[1,3]*a[2,4]*a[3,2]^2*a[4,3]*a[4,4]-a[1,3]*a[2,4]*a[3,2]*a[3,4]*a[4 ,2]*a[4,3]+a[1,4]^2*a[2,1]*a[3,2]*a[4,2]*a[4,3]-a[1,4]^2*a[2,2]*a[3,1]*a[4,2]*a [4,3]-a[1,4]^2*a[3,1]*a[3,2]*a[4,3]^2+a[1,4]^2*a[3,1]*a[3,3]*a[4,2]*a[4,3]+a[1, 4]*a[2,3]*a[3,2]*a[3,4]*a[4,2]*a[4,3]-a[1,4]*a[2,3]*a[3,3]*a[3,4]*a[4,2]^2-a[1, 4]*a[2,4]*a[3,2]^2*a[4,3]^2+a[1,4]*a[2,4]*a[3,2]*a[3,3]*a[4,2]*a[4,3])*X[2,1]+( -a[1,1]*a[1,2]*a[2,2]*a[2,3]*a[3,1]*a[4,3]-a[1,1]*a[1,2]*a[2,2]*a[2,4]*a[4,1]*a [4,3]+a[1,1]*a[1,2]*a[2,3]^2*a[3,1]*a[4,2]+a[1,1]*a[1,2]*a[2,3]*a[2,4]*a[4,1]*a [4,2]+a[1,1]*a[1,2]*a[2,3]*a[3,1]*a[4,3]*a[4,4]-a[1,1]*a[1,2]*a[2,3]*a[3,4]*a[4 ,1]*a[4,3]-a[1,1]*a[1,2]*a[2,4]*a[3,1]*a[4,3]^2+a[1,1]*a[1,2]*a[2,4]*a[3,3]*a[4 ,1]*a[4,3]+a[1,1]*a[1,3]*a[2,1]*a[2,2]*a[3,2]*a[4,3]-a[1,1]*a[1,3]*a[2,1]*a[2,3 ]*a[3,2]*a[4,2]-a[1,1]*a[1,3]*a[2,1]*a[3,2]*a[4,3]*a[4,4]+a[1,1]*a[1,3]*a[2,1]* a[3,4]*a[4,2]*a[4,3]+a[1,1]*a[1,4]*a[2,1]*a[2,2]*a[4,2]*a[4,3]-a[1,1]*a[1,4]*a[ 2,1]*a[2,3]*a[4,2]^2+a[1,1]*a[1,4]*a[2,1]*a[3,2]*a[4,3]^2-a[1,1]*a[1,4]*a[2,1]* a[3,3]*a[4,2]*a[4,3]+a[1,2]^2*a[2,1]*a[2,3]*a[3,1]*a[4,3]+a[1,2]^2*a[2,1]*a[2,4 ]*a[4,1]*a[4,3]-a[1,2]^2*a[2,3]^2*a[3,1]*a[4,1]-a[1,2]^2*a[2,3]*a[2,4]*a[4,1]^2 -a[1,2]*a[1,3]*a[2,1]^2*a[3,2]*a[4,3]-a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,1]*a[4,2] +a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,2]*a[4,1]-a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[4,1]*a [4,2]+a[1,2]*a[1,3]*a[2,2]*a[2,3]*a[3,1]*a[4,1]+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[4 ,1]^2-a[1,2]*a[1,3]*a[2,3]*a[3,1]*a[4,1]*a[4,4]+a[1,2]*a[1,3]*a[2,3]*a[3,4]*a[4 ,1]^2+a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[4,1]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[3,3]*a[4 ,1]^2-a[1,2]*a[1,4]*a[2,1]^2*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[4,1]*a [4,2]+a[1,2]*a[2,2]*a[2,3]*a[3,1]*a[4,3]*a[4,4]-a[1,2]*a[2,2]*a[2,3]*a[3,4]*a[4 ,1]*a[4,3]-a[1,2]*a[2,2]*a[2,4]*a[3,1]*a[4,3]^2+a[1,2]*a[2,2]*a[2,4]*a[3,3]*a[4 ,1]*a[4,3]-a[1,2]*a[2,3]^2*a[3,1]*a[4,2]*a[4,4]+a[1,2]*a[2,3]^2*a[3,4]*a[4,1]*a [4,2]+a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[4,2]*a[4,3]-a[1,2]*a[2,3]*a[2,4]*a[3,3]*a[4 ,1]*a[4,2]-a[1,2]*a[2,3]*a[3,1]*a[3,4]*a[4,3]^2-a[1,2]*a[2,3]*a[3,1]*a[4,3]*a[4 ,4]^2+a[1,2]*a[2,3]*a[3,3]*a[3,4]*a[4,1]*a[4,3]+a[1,2]*a[2,3]*a[3,4]*a[4,1]*a[4 ,3]*a[4,4]+a[1,2]*a[2,4]*a[3,1]*a[3,3]*a[4,3]^2+a[1,2]*a[2,4]*a[3,1]*a[4,3]^2*a [4,4]-a[1,2]*a[2,4]*a[3,3]^2*a[4,1]*a[4,3]-a[1,2]*a[2,4]*a[3,4]*a[4,1]*a[4,3]^2 +a[1,3]^2*a[2,1]^2*a[3,2]*a[4,2]-a[1,3]^2*a[2,1]*a[2,2]*a[3,2]*a[4,1]+a[1,3]^2* a[2,1]*a[3,2]*a[4,1]*a[4,4]-a[1,3]^2*a[2,1]*a[3,4]*a[4,1]*a[4,2]+a[1,3]*a[1,4]* a[2,1]^2*a[4,2]^2-a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,1 ]*a[3,2]*a[4,1]*a[4,3]+a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,1]*a[4,2]-a[1,3]*a[2,1]* a[2,2]*a[3,2]*a[4,3]*a[4,4]+a[1,3]*a[2,1]*a[2,2]*a[3,4]*a[4,2]*a[4,3]+a[1,3]*a[ 2,1]*a[2,3]*a[3,2]*a[4,2]*a[4,4]-a[1,3]*a[2,1]*a[2,3]*a[3,4]*a[4,2]^2+a[1,3]*a[ 2,1]*a[3,2]*a[3,4]*a[4,3]^2+a[1,3]*a[2,1]*a[3,2]*a[4,3]*a[4,4]^2-a[1,3]*a[2,1]* a[3,3]*a[3,4]*a[4,2]*a[4,3]-a[1,3]*a[2,1]*a[3,4]*a[4,2]*a[4,3]*a[4,4]+a[1,3]*a[ 2,3]*a[3,1]*a[3,4]*a[4,2]*a[4,3]-a[1,3]*a[2,3]*a[3,2]*a[3,4]*a[4,1]*a[4,3]-a[1, 3]*a[2,4]*a[3,1]*a[3,2]*a[4,3]^2+a[1,3]*a[2,4]*a[3,2]*a[3,3]*a[4,1]*a[4,3]-a[1, 3]*a[2,4]*a[3,2]*a[4,1]*a[4,3]*a[4,4]+a[1,3]*a[2,4]*a[3,4]*a[4,1]*a[4,2]*a[4,3] +a[1,4]*a[2,1]*a[2,2]*a[3,2]*a[4,3]^2-a[1,4]*a[2,1]*a[2,2]*a[3,3]*a[4,2]*a[4,3] -a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[4,2]*a[4,3]+a[1,4]*a[2,1]*a[2,3]*a[3,3]*a[4,2]^2 -a[1,4]*a[2,1]*a[3,2]*a[3,3]*a[4,3]^2-a[1,4]*a[2,1]*a[3,2]*a[4,3]^2*a[4,4]+a[1, 4]*a[2,1]*a[3,3]^2*a[4,2]*a[4,3]+a[1,4]*a[2,1]*a[3,4]*a[4,2]*a[4,3]^2+a[1,4]*a[ 2,3]*a[3,1]*a[3,2]*a[4,3]^2-a[1,4]*a[2,3]*a[3,1]*a[3,3]*a[4,2]*a[4,3]+a[1,4]*a[ 2,3]*a[3,1]*a[4,2]*a[4,3]*a[4,4]-a[1,4]*a[2,3]*a[3,4]*a[4,1]*a[4,2]*a[4,3]-a[1, 4]*a[2,4]*a[3,1]*a[4,2]*a[4,3]^2+a[1,4]*a[2,4]*a[3,2]*a[4,1]*a[4,3]^2)*X[3,4]+X [4,3]*(a[1,1]*a[1,2]*a[2,2]*a[2,3]*a[3,1]*a[3,4]+a[1,1]*a[1,2]*a[2,2]*a[2,4]*a[ 3,4]*a[4,1]-a[1,1]*a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[3,2]-a[1,1]*a[1,2]*a[2,3]*a[3, 1]*a[3,4]*a[4,4]+a[1,1]*a[1,2]*a[2,3]*a[3,4]^2*a[4,1]-a[1,1]*a[1,2]*a[2,4]^2*a[ 3,2]*a[4,1]+a[1,1]*a[1,2]*a[2,4]*a[3,1]*a[3,4]*a[4,3]-a[1,1]*a[1,2]*a[2,4]*a[3, 3]*a[3,4]*a[4,1]-a[1,1]*a[1,3]*a[2,1]*a[2,2]*a[3,2]*a[3,4]+a[1,1]*a[1,3]*a[2,1] *a[2,4]*a[3,2]^2+a[1,1]*a[1,3]*a[2,1]*a[3,2]*a[3,4]*a[4,4]-a[1,1]*a[1,3]*a[2,1] *a[3,4]^2*a[4,2]-a[1,1]*a[1,4]*a[2,1]*a[2,2]*a[3,4]*a[4,2]+a[1,1]*a[1,4]*a[2,1] *a[2,4]*a[3,2]*a[4,2]-a[1,1]*a[1,4]*a[2,1]*a[3,2]*a[3,4]*a[4,3]+a[1,1]*a[1,4]*a [2,1]*a[3,3]*a[3,4]*a[4,2]-a[1,2]^2*a[2,1]*a[2,3]*a[3,1]*a[3,4]-a[1,2]^2*a[2,1] *a[2,4]*a[3,4]*a[4,1]+a[1,2]^2*a[2,3]*a[2,4]*a[3,1]^2+a[1,2]^2*a[2,4]^2*a[3,1]* a[4,1]+a[1,2]*a[1,3]*a[2,1]^2*a[3,2]*a[3,4]-a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,1]* a[3,2]+a[1,2]*a[1,4]*a[2,1]^2*a[3,4]*a[4,2]+a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,1]* a[3,2]-a[1,2]*a[1,4]*a[2,1]*a[2,4]*a[3,1]*a[4,2]+a[1,2]*a[1,4]*a[2,1]*a[2,4]*a[ 3,2]*a[4,1]-a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,1]^2-a[1,2]*a[1,4]*a[2,2]*a[2,4]*a[ 3,1]*a[4,1]+a[1,2]*a[1,4]*a[2,3]*a[3,1]^2*a[4,4]-a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[ 3,4]*a[4,1]-a[1,2]*a[1,4]*a[2,4]*a[3,1]^2*a[4,3]+a[1,2]*a[1,4]*a[2,4]*a[3,1]*a[ 3,3]*a[4,1]-a[1,2]*a[2,2]*a[2,3]*a[3,1]*a[3,4]*a[4,4]+a[1,2]*a[2,2]*a[2,3]*a[3, 4]^2*a[4,1]+a[1,2]*a[2,2]*a[2,4]*a[3,1]*a[3,4]*a[4,3]-a[1,2]*a[2,2]*a[2,4]*a[3, 3]*a[3,4]*a[4,1]+a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[3,2]*a[4,4]-a[1,2]*a[2,3]*a[2,4] *a[3,2]*a[3,4]*a[4,1]+a[1,2]*a[2,3]*a[3,1]*a[3,4]^2*a[4,3]+a[1,2]*a[2,3]*a[3,1] *a[3,4]*a[4,4]^2-a[1,2]*a[2,3]*a[3,3]*a[3,4]^2*a[4,1]-a[1,2]*a[2,3]*a[3,4]^2*a[ 4,1]*a[4,4]-a[1,2]*a[2,4]^2*a[3,1]*a[3,2]*a[4,3]+a[1,2]*a[2,4]^2*a[3,2]*a[3,3]* a[4,1]-a[1,2]*a[2,4]*a[3,1]*a[3,3]*a[3,4]*a[4,3]-a[1,2]*a[2,4]*a[3,1]*a[3,4]*a[ 4,3]*a[4,4]+a[1,2]*a[2,4]*a[3,3]^2*a[3,4]*a[4,1]+a[1,2]*a[2,4]*a[3,4]^2*a[4,1]* a[4,3]-a[1,3]*a[1,4]*a[2,1]^2*a[3,2]^2+a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[3,1]*a[3,2 ]-a[1,3]*a[1,4]*a[2,1]*a[3,1]*a[3,2]*a[4,4]+a[1,3]*a[1,4]*a[2,1]*a[3,1]*a[3,4]* a[4,2]+a[1,3]*a[2,1]*a[2,2]*a[3,2]*a[3,4]*a[4,4]-a[1,3]*a[2,1]*a[2,2]*a[3,4]^2* a[4,2]-a[1,3]*a[2,1]*a[2,4]*a[3,2]^2*a[4,4]+a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[3,4]* a[4,2]-a[1,3]*a[2,1]*a[3,2]*a[3,4]^2*a[4,3]-a[1,3]*a[2,1]*a[3,2]*a[3,4]*a[4,4]^ 2+a[1,3]*a[2,1]*a[3,3]*a[3,4]^2*a[4,2]+a[1,3]*a[2,1]*a[3,4]^2*a[4,2]*a[4,4]-a[1 ,3]*a[2,3]*a[3,1]*a[3,4]^2*a[4,2]+a[1,3]*a[2,3]*a[3,2]*a[3,4]^2*a[4,1]+a[1,3]*a [2,4]*a[3,1]*a[3,2]*a[3,4]*a[4,3]-a[1,3]*a[2,4]*a[3,2]*a[3,3]*a[3,4]*a[4,1]+a[1 ,3]*a[2,4]*a[3,2]*a[3,4]*a[4,1]*a[4,4]-a[1,3]*a[2,4]*a[3,4]^2*a[4,1]*a[4,2]-a[1 ,4]^2*a[2,1]^2*a[3,2]*a[4,2]+a[1,4]^2*a[2,1]*a[2,2]*a[3,1]*a[4,2]+a[1,4]^2*a[2, 1]*a[3,1]*a[3,2]*a[4,3]-a[1,4]^2*a[2,1]*a[3,1]*a[3,3]*a[4,2]-a[1,4]*a[2,1]*a[2, 2]*a[3,2]*a[3,4]*a[4,3]+a[1,4]*a[2,1]*a[2,2]*a[3,3]*a[3,4]*a[4,2]+a[1,4]*a[2,1] *a[2,4]*a[3,2]^2*a[4,3]-a[1,4]*a[2,1]*a[2,4]*a[3,2]*a[3,3]*a[4,2]+a[1,4]*a[2,1] *a[3,2]*a[3,3]*a[3,4]*a[4,3]+a[1,4]*a[2,1]*a[3,2]*a[3,4]*a[4,3]*a[4,4]-a[1,4]*a [2,1]*a[3,3]^2*a[3,4]*a[4,2]-a[1,4]*a[2,1]*a[3,4]^2*a[4,2]*a[4,3]-a[1,4]*a[2,3] *a[3,1]*a[3,2]*a[3,4]*a[4,3]+a[1,4]*a[2,3]*a[3,1]*a[3,3]*a[3,4]*a[4,2]-a[1,4]*a [2,3]*a[3,1]*a[3,4]*a[4,2]*a[4,4]+a[1,4]*a[2,3]*a[3,4]^2*a[4,1]*a[4,2]+a[1,4]*a [2,4]*a[3,1]*a[3,4]*a[4,2]*a[4,3]-a[1,4]*a[2,4]*a[3,2]*a[3,4]*a[4,1]*a[4,3]) = 0 ------------------------------------ Theorem number, 26, : let, {X[1, 2], X[2, 3], X[3, 1], X[4, 1]}, be the entri\ es of an ARBITRARY power of the general matrix M, we always have the lin\ ear relation (a[1, 1] a[2, 1] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 1] a[2, 1] a[2, 3] a[3, 1] a[3, 3] a[4, 2] + a[1, 1] a[2, 1] a[2, 3] a[3, 1] a[4, 2] a[4, 4] - a[1, 1] a[2, 1] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 1] a[2, 1] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 1] a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 1] a[2, 2] a[2, 3] a[3, 1] a[4, 3] + a[1, 1] a[2, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 1] - a[1, 1] a[2, 2] a[2, 3] a[3, 1] a[4, 1] a[4, 4] 2 + a[1, 1] a[2, 2] a[2, 3] a[3, 4] a[4, 1] 2 2 + a[1, 1] a[2, 3] a[3, 1] a[4, 2] 2 - a[1, 1] a[2, 3] a[3, 1] a[3, 2] a[4, 1] + a[1, 1] a[2, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 - a[1, 1] a[2, 3] a[2, 4] a[3, 2] a[4, 1] 2 + a[1, 1] a[2, 3] a[3, 1] a[4, 3] a[4, 4] - a[1, 1] a[2, 3] a[3, 1] a[3, 3] a[4, 1] a[4, 4] 2 + a[1, 1] a[2, 3] a[3, 1] a[4, 1] a[4, 4] 2 - a[1, 1] a[2, 3] a[3, 4] a[4, 1] a[4, 4] 2 2 - a[1, 1] a[2, 4] a[3, 1] a[4, 3] + a[1, 1] a[2, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 3] - a[1, 1] a[2, 4] a[3, 1] a[4, 1] a[4, 3] a[4, 4] 2 + a[1, 1] a[2, 4] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 3] a[2, 1] a[3, 1] a[3, 3] a[4, 2] 2 - a[1, 3] a[2, 1] a[3, 1] a[4, 2] a[4, 4] 2 + a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[4, 3] - a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[3, 3] a[4, 1] + a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 1] 2 - a[1, 3] a[2, 1] a[2, 3] a[3, 1] a[4, 2] + a[1, 3] a[2, 1] a[2, 3] a[3, 1] a[3, 2] a[4, 1] 2 - a[1, 3] a[2, 1] a[3, 1] a[4, 3] a[4, 4] + a[1, 3] a[2, 1] a[3, 1] a[3, 3] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 1] a[3, 1] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 3] 2 - a[1, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 1] 2 + a[1, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 4] 3 - a[1, 3] a[2, 4] a[3, 4] a[4, 1] 2 + a[1, 4] a[2, 1] a[3, 1] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[3, 2] a[4, 1] a[4, 3] - a[1, 4] a[2, 1] a[2, 3] a[3, 1] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 1] 2 2 + a[1, 4] a[2, 1] a[3, 1] a[4, 3] - a[1, 4] a[2, 1] a[3, 1] a[3, 3] a[4, 1] a[4, 3] + a[1, 4] a[2, 1] a[3, 1] a[4, 1] a[4, 3] a[4, 4] 2 - a[1, 4] a[2, 1] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 4] a[2, 3] a[3, 1] a[4, 1] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 1] 2 - a[1, 4] a[2, 3] a[3, 1] a[4, 1] a[4, 4] 3 2 2 + a[1, 4] a[2, 3] a[3, 4] a[4, 1] + a[2, 1] a[2, 3] a[3, 2] a[4, 3] 2 - a[2, 1] a[2, 3] a[3, 2] a[3, 3] a[4, 2] 2 + a[2, 1] a[2, 3] a[3, 2] a[4, 2] a[4, 4] 2 2 - a[2, 1] a[2, 3] a[3, 4] a[4, 2] - 2 a[2, 1] a[2, 2] a[2, 3] a[3, 1] a[3, 2] a[4, 3] + a[2, 1] a[2, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 2] - a[2, 1] a[2, 2] a[2, 3] a[3, 1] a[4, 2] a[4, 4] + a[2, 1] a[2, 2] a[2, 3] a[3, 2] a[3, 3] a[4, 1] - a[2, 1] a[2, 2] a[2, 3] a[3, 2] a[4, 1] a[4, 4] + 2 a[2, 1] a[2, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 2] 2 + a[2, 1] a[2, 3] a[3, 1] a[3, 2] a[4, 2] 2 2 - a[2, 1] a[2, 3] a[3, 2] a[4, 1] 2 + a[2, 1] a[2, 3] a[2, 4] a[3, 1] a[4, 2] - a[2, 1] a[2, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 2] + a[2, 1] a[2, 3] a[3, 1] a[3, 2] a[4, 3] a[4, 4] - a[2, 1] a[2, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 3] - a[2, 1] a[2, 3] a[3, 2] a[3, 3] a[4, 1] a[4, 4] + a[2, 1] a[2, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 3] 2 + a[2, 1] a[2, 3] a[3, 2] a[4, 1] a[4, 4] - a[2, 1] a[2, 3] a[3, 4] a[4, 1] a[4, 2] a[4, 4] 2 - a[2, 1] a[2, 4] a[3, 1] a[3, 2] a[4, 3] + a[2, 1] a[2, 4] a[3, 1] a[3, 3] a[4, 2] a[4, 3] - a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 3] a[4, 4] + a[2, 1] a[2, 4] a[3, 4] a[4, 1] a[4, 2] a[4, 3] 2 2 + a[2, 2] a[2, 3] a[3, 1] a[4, 3] 2 - a[2, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 1] 2 + a[2, 2] a[2, 3] a[3, 1] a[4, 1] a[4, 4] 2 2 2 2 - a[2, 2] a[2, 3] a[3, 4] a[4, 1] - a[2, 2] a[2, 3] a[3, 1] a[4, 2] 2 + a[2, 2] a[2, 3] a[3, 1] a[3, 2] a[4, 1] - a[2, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 + a[2, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 1] 2 - a[2, 2] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[2, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 1] a[4, 4] 2 - a[2, 2] a[2, 3] a[3, 1] a[4, 1] a[4, 4] 2 + a[2, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 4] 2 2 + a[2, 2] a[2, 4] a[3, 1] a[4, 3] - a[2, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 3] + a[2, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 3] a[4, 4] 2 - a[2, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 3] 2 + a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 2] 2 2 - a[2, 3] a[3, 2] a[3, 4] a[4, 1] - a[2, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 2] + a[2, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 2] a[4, 4] 2 + a[2, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] 2 - a[2, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 4] 2 - a[2, 4] a[3, 1] a[4, 1] a[4, 2] a[4, 3] 2 2 + a[2, 4] a[3, 2] a[4, 1] a[4, 3]) X[1, 2] + ( 2 2 -a[1, 2] a[2, 1] a[3, 2] a[4, 3] 2 + a[1, 2] a[2, 1] a[3, 2] a[3, 3] a[4, 2] 2 - a[1, 2] a[2, 1] a[3, 2] a[4, 2] a[4, 4] 2 2 + a[1, 2] a[2, 1] a[3, 4] a[4, 2] + 2 a[1, 2] a[2, 1] a[2, 2] a[3, 1] a[3, 2] a[4, 3] - a[1, 2] a[2, 1] a[2, 2] a[3, 1] a[3, 3] a[4, 2] + a[1, 2] a[2, 1] a[2, 2] a[3, 1] a[4, 2] a[4, 4] - a[1, 2] a[2, 1] a[2, 2] a[3, 2] a[3, 3] a[4, 1] + a[1, 2] a[2, 1] a[2, 2] a[3, 2] a[4, 1] a[4, 4] - 2 a[1, 2] a[2, 1] a[2, 2] a[3, 4] a[4, 1] a[4, 2] - a[1, 2] a[2, 1] a[2, 3] a[3, 1] a[3, 2] a[4, 2] 2 + a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[4, 1] 2 - a[1, 2] a[2, 1] a[2, 4] a[3, 1] a[4, 2] + a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 2] - a[1, 2] a[2, 1] a[3, 1] a[3, 2] a[3, 3] a[4, 3] - a[1, 2] a[2, 1] a[3, 1] a[3, 2] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 1] a[3, 1] a[3, 3] a[4, 2] - a[1, 2] a[2, 1] a[3, 1] a[3, 3] a[4, 2] a[4, 4] + 2 a[1, 2] a[2, 1] a[3, 1] a[3, 4] a[4, 2] a[4, 3] + a[1, 2] a[2, 1] a[3, 2] a[3, 3] a[4, 1] a[4, 4] - 2 a[1, 2] a[2, 1] a[3, 2] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 1] a[3, 2] a[4, 1] a[4, 4] + a[1, 2] a[2, 1] a[3, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 2] a[2, 1] a[3, 4] a[4, 1] a[4, 2] a[4, 4] 2 2 - a[1, 2] a[2, 2] a[3, 1] a[4, 3] 2 + a[1, 2] a[2, 2] a[3, 1] a[3, 3] a[4, 1] 2 - a[1, 2] a[2, 2] a[3, 1] a[4, 1] a[4, 4] 2 2 + a[1, 2] a[2, 2] a[3, 4] a[4, 1] 2 + a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[4, 2] - a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[3, 2] a[4, 1] + a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 - a[1, 2] a[2, 2] a[2, 4] a[3, 2] a[4, 1] 2 + a[1, 2] a[2, 2] a[3, 1] a[3, 3] a[4, 3] 2 + a[1, 2] a[2, 2] a[3, 1] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 2] a[3, 1] a[3, 3] a[4, 1] 2 + a[1, 2] a[2, 2] a[3, 1] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 2] a[3, 3] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 2] a[3, 4] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 2] + a[1, 2] a[2, 3] a[3, 1] a[3, 2] a[3, 3] a[4, 1] - a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 2] a[2, 3] a[3, 2] a[3, 4] a[4, 1] 2 - a[1, 2] a[2, 4] a[3, 1] a[4, 2] a[4, 3] + a[1, 2] a[2, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 3] - a[1, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 2] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 2] a[4, 1] a[4, 4] 2 - a[1, 2] a[3, 1] a[3, 3] a[4, 3] a[4, 4] 2 2 + a[1, 2] a[3, 1] a[3, 4] a[4, 3] 2 + a[1, 2] a[3, 1] a[3, 3] a[4, 1] a[4, 4] - a[1, 2] a[3, 1] a[3, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[3, 1] a[3, 3] a[4, 1] a[4, 4] + a[1, 2] a[3, 1] a[3, 4] a[4, 1] a[4, 3] a[4, 4] 2 + a[1, 2] a[3, 3] a[3, 4] a[4, 1] a[4, 4] 2 2 - a[1, 2] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 3] a[2, 1] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[2, 1] a[3, 1] a[3, 2] a[3, 3] a[4, 2] + a[1, 3] a[2, 1] a[3, 1] a[3, 2] a[4, 2] a[4, 4] 2 - a[1, 3] a[2, 1] a[3, 1] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 2] a[3, 1] a[3, 2] a[4, 3] + a[1, 3] a[2, 2] a[3, 1] a[3, 2] a[3, 3] a[4, 1] - a[1, 3] a[2, 2] a[3, 1] a[3, 2] a[4, 1] a[4, 4] 2 + a[1, 3] a[2, 2] a[3, 2] a[3, 4] a[4, 1] 2 + a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 1] + a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 2] 2 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 1] 2 + a[1, 3] a[3, 1] a[3, 2] a[4, 3] a[4, 4] 2 - a[1, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 3] - a[1, 3] a[3, 1] a[3, 2] a[3, 3] a[4, 1] a[4, 4] 2 + a[1, 3] a[3, 1] a[3, 2] a[4, 1] a[4, 4] + a[1, 3] a[3, 1] a[3, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 2] a[4, 4] 2 - a[1, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 4] 2 2 + a[1, 3] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 1] a[3, 2] a[4, 1] a[4, 3] - a[1, 4] a[2, 1] a[3, 2] a[3, 3] a[4, 1] a[4, 2] + a[1, 4] a[2, 1] a[3, 2] a[4, 1] a[4, 2] a[4, 4] 2 - a[1, 4] a[2, 1] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 4] a[2, 2] a[3, 1] a[4, 2] a[4, 3] + a[1, 4] a[2, 2] a[3, 1] a[3, 3] a[4, 1] a[4, 2] - a[1, 4] a[2, 2] a[3, 1] a[4, 1] a[4, 2] a[4, 4] 2 + a[1, 4] a[2, 2] a[3, 4] a[4, 1] a[4, 2] 2 2 + a[1, 4] a[2, 3] a[3, 1] a[4, 2] - a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 4] a[3, 1] a[4, 1] a[4, 2] 2 - a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 2] 2 2 - a[1, 4] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 4] a[3, 1] a[3, 3] a[4, 2] a[4, 3] + a[1, 4] a[3, 1] a[3, 2] a[3, 3] a[4, 1] a[4, 3] - a[1, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 3] a[4, 4] 2 - a[1, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 2] + a[1, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 2] a[4, 4] 2 + a[1, 4] a[3, 2] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 4] a[3, 3] a[3, 4] a[4, 1] a[4, 2]) X[2, 3] + ( -a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[4, 3] + a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[4, 2] - a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[4, 2] a[4, 4] + a[1, 1] a[1, 2] a[2, 1] a[2, 4] a[4, 2] a[4, 3] + a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[4, 3] - a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 3] a[4, 1] + a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[4, 1] a[4, 4] - a[1, 1] a[1, 2] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[4, 2] 2 + a[1, 1] a[1, 2] a[2, 3] a[3, 2] a[4, 1] - a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 1] a[1, 2] a[2, 3] a[3, 3] a[4, 1] a[4, 4] - a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 3] a[4, 1] a[4, 4] 2 + a[1, 1] a[1, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 1] a[1, 2] a[2, 4] a[4, 1] a[4, 3] a[4, 4] + a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 3] + a[1, 1] a[1, 4] a[2, 3] a[3, 2] a[4, 1] a[4, 3] - a[1, 1] a[1, 4] a[2, 3] a[3, 3] a[4, 1] a[4, 2] + a[1, 1] a[1, 4] a[2, 3] a[4, 1] a[4, 2] a[4, 4] - a[1, 1] a[1, 4] a[2, 4] a[4, 1] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 1] a[4, 2] a[4, 4] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 1] - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[3, 1] a[4, 3] a[4, 4] - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 1] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[4, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 1] a[4, 2] 2 - a[1, 2] a[1, 4] a[2, 1] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[4, 1] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 1] + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 4] + a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[3, 3] a[4, 3] 2 - a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[4, 2] + a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[4, 2] a[4, 4] - a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[2, 1] a[2, 4] a[3, 3] a[4, 2] a[4, 3] - a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 3] 2 + a[1, 2] a[2, 2] a[2, 3] a[3, 3] a[4, 1] - a[1, 2] a[2, 2] a[2, 3] a[3, 3] a[4, 1] a[4, 4] + a[1, 2] a[2, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[2, 2] a[2, 4] a[3, 3] a[4, 1] a[4, 3] 2 + a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 2] 2 - a[1, 2] a[2, 3] a[3, 2] a[3, 3] a[4, 1] + a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 3] + a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 3] a[4, 1] a[4, 4] + a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[2, 3] a[3, 3] a[4, 1] a[4, 4] - a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] a[4, 4] - a[1, 2] a[2, 4] a[3, 3] a[4, 1] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 2] 2 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 1] + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[4, 1] a[4, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 1] 2 + a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 3] + a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[3, 3] a[4, 2] - a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 2] a[4, 4] 2 + a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 2] + a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[2, 2] a[2, 3] a[3, 2] a[3, 3] a[4, 1] + a[1, 3] a[2, 2] a[2, 3] a[3, 2] a[4, 1] a[4, 4] - a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 2] 2 2 + a[1, 3] a[2, 3] a[3, 2] a[4, 1] - a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 3] + a[1, 3] a[2, 3] a[3, 2] a[3, 3] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 3] a[3, 2] a[4, 1] a[4, 4] - a[1, 3] a[2, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 3] a[2, 3] a[3, 4] a[4, 1] a[4, 2] a[4, 4] + a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 3] a[4, 4] - a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[4, 1] a[4, 2] a[4, 3] 2 2 - a[1, 4] a[2, 3] a[4, 1] a[4, 2] + a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 2] a[4, 3] - a[1, 4] a[2, 2] a[2, 3] a[3, 2] a[4, 1] a[4, 3] 2 2 - a[1, 4] a[2, 3] a[3, 1] a[4, 2] 2 + a[1, 4] a[2, 3] a[3, 2] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] a[4, 3] - a[1, 4] a[2, 3] a[3, 2] a[3, 3] a[4, 1] a[4, 3] + a[1, 4] a[2, 3] a[3, 2] a[4, 1] a[4, 3] a[4, 4] 2 + a[1, 4] a[2, 3] a[3, 3] a[4, 1] a[4, 2] - a[1, 4] a[2, 3] a[3, 3] a[4, 1] a[4, 2] a[4, 4] 2 - a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3] + a[1, 4] a[2, 4] a[3, 3] a[4, 1] a[4, 2] a[4, 3]) X[3, 1] + X[4, 1] ( a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 2] - a[1, 1] a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 3] - a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 4] a[4, 1] + a[1, 1] a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[4, 3] - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 2] + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 1] + a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] + a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 4] - a[1, 1] a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 3] - a[1, 1] a[1, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 3] - a[1, 1] a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] + a[1, 1] a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] - a[1, 1] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] + a[1, 1] a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] - a[1, 1] a[1, 4] a[2, 3] a[3, 1] a[4, 2] a[4, 4] + a[1, 1] a[1, 4] a[2, 4] a[3, 1] a[4, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 1] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 1] a[3, 1] a[3, 4] a[4, 3] - a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 4] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 1] a[4, 1] + a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 1] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 1] 2 + a[1, 2] a[1, 4] a[2, 1] a[3, 2] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 1] + a[1, 2] a[1, 4] a[2, 1] a[3, 1] a[3, 3] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[3, 4] a[4, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 1] - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 1] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 1] + a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[3, 4] a[4, 3] - a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[3, 4] a[4, 2] + a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 3] a[4, 4] - a[1, 2] a[2, 1] a[2, 4] a[3, 4] a[4, 2] a[4, 3] - a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] + a[1, 2] a[2, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 1] - a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[4, 3] a[4, 4] + a[1, 2] a[2, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 3] + a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 2] - a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] - a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 4] 2 + a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[2, 4] a[3, 1] a[4, 2] a[4, 3] 2 - a[1, 2] a[2, 4] a[3, 2] a[4, 1] a[4, 3] + a[1, 2] a[2, 4] a[3, 1] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 4] a[3, 1] a[3, 4] a[4, 3] 2 + a[1, 3] a[2, 1] a[3, 1] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 1] - a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[3, 3] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[4, 2] a[4, 4] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 1] - a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 1] a[4, 2] + a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 2] - a[1, 3] a[2, 2] a[2, 3] a[3, 2] a[3, 4] a[4, 1] - a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 2] 2 + a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 1] + a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[2, 4] a[3, 1] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 1] a[3, 1] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 1] a[4, 1] a[4, 2] 2 - a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 3] + a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[3, 3] a[4, 2] - a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 2] a[4, 4] 2 + a[1, 4] a[2, 1] a[2, 3] a[3, 4] a[4, 2] + a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 2] + a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 2] a[4, 4] - a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 4] a[2, 3] a[2, 4] a[3, 1] a[4, 2] + a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 2] - a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 3] + a[1, 4] a[2, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 4] a[3, 1] a[3, 2] a[4, 3] - a[1, 4] a[2, 4] a[3, 1] a[3, 3] a[4, 2] a[4, 3]) = 0 in Maple notation (a[1,1]*a[2,1]*a[2,3]*a[3,1]*a[3,2]*a[4,3]-a[1,1]*a[2,1]*a[2,3]*a[3,1]*a[3,3]*a [4,2]+a[1,1]*a[2,1]*a[2,3]*a[3,1]*a[4,2]*a[4,4]-a[1,1]*a[2,1]*a[2,3]*a[3,4]*a[4 ,1]*a[4,2]-a[1,1]*a[2,1]*a[2,4]*a[3,1]*a[4,2]*a[4,3]+a[1,1]*a[2,1]*a[2,4]*a[3,2 ]*a[4,1]*a[4,3]-a[1,1]*a[2,2]*a[2,3]*a[3,1]^2*a[4,3]+a[1,1]*a[2,2]*a[2,3]*a[3,1 ]*a[3,3]*a[4,1]-a[1,1]*a[2,2]*a[2,3]*a[3,1]*a[4,1]*a[4,4]+a[1,1]*a[2,2]*a[2,3]* a[3,4]*a[4,1]^2+a[1,1]*a[2,3]^2*a[3,1]^2*a[4,2]-a[1,1]*a[2,3]^2*a[3,1]*a[3,2]*a [4,1]+a[1,1]*a[2,3]*a[2,4]*a[3,1]*a[4,1]*a[4,2]-a[1,1]*a[2,3]*a[2,4]*a[3,2]*a[4 ,1]^2+a[1,1]*a[2,3]*a[3,1]^2*a[4,3]*a[4,4]-a[1,1]*a[2,3]*a[3,1]*a[3,3]*a[4,1]*a [4,4]+a[1,1]*a[2,3]*a[3,1]*a[4,1]*a[4,4]^2-a[1,1]*a[2,3]*a[3,4]*a[4,1]^2*a[4,4] -a[1,1]*a[2,4]*a[3,1]^2*a[4,3]^2+a[1,1]*a[2,4]*a[3,1]*a[3,3]*a[4,1]*a[4,3]-a[1, 1]*a[2,4]*a[3,1]*a[4,1]*a[4,3]*a[4,4]+a[1,1]*a[2,4]*a[3,4]*a[4,1]^2*a[4,3]-a[1, 3]*a[2,1]^2*a[3,1]*a[3,2]*a[4,3]+a[1,3]*a[2,1]^2*a[3,1]*a[3,3]*a[4,2]-a[1,3]*a[ 2,1]^2*a[3,1]*a[4,2]*a[4,4]+a[1,3]*a[2,1]^2*a[3,4]*a[4,1]*a[4,2]+a[1,3]*a[2,1]* a[2,2]*a[3,1]^2*a[4,3]-a[1,3]*a[2,1]*a[2,2]*a[3,1]*a[3,3]*a[4,1]+a[1,3]*a[2,1]* a[2,2]*a[3,1]*a[4,1]*a[4,4]-a[1,3]*a[2,1]*a[2,2]*a[3,4]*a[4,1]^2-a[1,3]*a[2,1]* a[2,3]*a[3,1]^2*a[4,2]+a[1,3]*a[2,1]*a[2,3]*a[3,1]*a[3,2]*a[4,1]-a[1,3]*a[2,1]* a[3,1]^2*a[4,3]*a[4,4]+a[1,3]*a[2,1]*a[3,1]*a[3,3]*a[4,1]*a[4,4]-a[1,3]*a[2,1]* a[3,1]*a[4,1]*a[4,4]^2+a[1,3]*a[2,1]*a[3,4]*a[4,1]^2*a[4,4]+a[1,3]*a[2,4]*a[3,1 ]^2*a[4,1]*a[4,3]-a[1,3]*a[2,4]*a[3,1]*a[3,3]*a[4,1]^2+a[1,3]*a[2,4]*a[3,1]*a[4 ,1]^2*a[4,4]-a[1,3]*a[2,4]*a[3,4]*a[4,1]^3+a[1,4]*a[2,1]^2*a[3,1]*a[4,2]*a[4,3] -a[1,4]*a[2,1]^2*a[3,2]*a[4,1]*a[4,3]-a[1,4]*a[2,1]*a[2,3]*a[3,1]*a[4,1]*a[4,2] +a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[4,1]^2+a[1,4]*a[2,1]*a[3,1]^2*a[4,3]^2-a[1,4]*a[ 2,1]*a[3,1]*a[3,3]*a[4,1]*a[4,3]+a[1,4]*a[2,1]*a[3,1]*a[4,1]*a[4,3]*a[4,4]-a[1, 4]*a[2,1]*a[3,4]*a[4,1]^2*a[4,3]-a[1,4]*a[2,3]*a[3,1]^2*a[4,1]*a[4,3]+a[1,4]*a[ 2,3]*a[3,1]*a[3,3]*a[4,1]^2-a[1,4]*a[2,3]*a[3,1]*a[4,1]^2*a[4,4]+a[1,4]*a[2,3]* a[3,4]*a[4,1]^3+a[2,1]^2*a[2,3]*a[3,2]^2*a[4,3]-a[2,1]^2*a[2,3]*a[3,2]*a[3,3]*a [4,2]+a[2,1]^2*a[2,3]*a[3,2]*a[4,2]*a[4,4]-a[2,1]^2*a[2,3]*a[3,4]*a[4,2]^2-2*a[ 2,1]*a[2,2]*a[2,3]*a[3,1]*a[3,2]*a[4,3]+a[2,1]*a[2,2]*a[2,3]*a[3,1]*a[3,3]*a[4, 2]-a[2,1]*a[2,2]*a[2,3]*a[3,1]*a[4,2]*a[4,4]+a[2,1]*a[2,2]*a[2,3]*a[3,2]*a[3,3] *a[4,1]-a[2,1]*a[2,2]*a[2,3]*a[3,2]*a[4,1]*a[4,4]+2*a[2,1]*a[2,2]*a[2,3]*a[3,4] *a[4,1]*a[4,2]+a[2,1]*a[2,3]^2*a[3,1]*a[3,2]*a[4,2]-a[2,1]*a[2,3]^2*a[3,2]^2*a[ 4,1]+a[2,1]*a[2,3]*a[2,4]*a[3,1]*a[4,2]^2-a[2,1]*a[2,3]*a[2,4]*a[3,2]*a[4,1]*a[ 4,2]+a[2,1]*a[2,3]*a[3,1]*a[3,2]*a[4,3]*a[4,4]-a[2,1]*a[2,3]*a[3,1]*a[3,4]*a[4, 2]*a[4,3]-a[2,1]*a[2,3]*a[3,2]*a[3,3]*a[4,1]*a[4,4]+a[2,1]*a[2,3]*a[3,2]*a[3,4] *a[4,1]*a[4,3]+a[2,1]*a[2,3]*a[3,2]*a[4,1]*a[4,4]^2-a[2,1]*a[2,3]*a[3,4]*a[4,1] *a[4,2]*a[4,4]-a[2,1]*a[2,4]*a[3,1]*a[3,2]*a[4,3]^2+a[2,1]*a[2,4]*a[3,1]*a[3,3] *a[4,2]*a[4,3]-a[2,1]*a[2,4]*a[3,2]*a[4,1]*a[4,3]*a[4,4]+a[2,1]*a[2,4]*a[3,4]*a [4,1]*a[4,2]*a[4,3]+a[2,2]^2*a[2,3]*a[3,1]^2*a[4,3]-a[2,2]^2*a[2,3]*a[3,1]*a[3, 3]*a[4,1]+a[2,2]^2*a[2,3]*a[3,1]*a[4,1]*a[4,4]-a[2,2]^2*a[2,3]*a[3,4]*a[4,1]^2- a[2,2]*a[2,3]^2*a[3,1]^2*a[4,2]+a[2,2]*a[2,3]^2*a[3,1]*a[3,2]*a[4,1]-a[2,2]*a[2 ,3]*a[2,4]*a[3,1]*a[4,1]*a[4,2]+a[2,2]*a[2,3]*a[2,4]*a[3,2]*a[4,1]^2-a[2,2]*a[2 ,3]*a[3,1]^2*a[4,3]*a[4,4]+a[2,2]*a[2,3]*a[3,1]*a[3,3]*a[4,1]*a[4,4]-a[2,2]*a[2 ,3]*a[3,1]*a[4,1]*a[4,4]^2+a[2,2]*a[2,3]*a[3,4]*a[4,1]^2*a[4,4]+a[2,2]*a[2,4]*a [3,1]^2*a[4,3]^2-a[2,2]*a[2,4]*a[3,1]*a[3,3]*a[4,1]*a[4,3]+a[2,2]*a[2,4]*a[3,1] *a[4,1]*a[4,3]*a[4,4]-a[2,2]*a[2,4]*a[3,4]*a[4,1]^2*a[4,3]+a[2,3]^2*a[3,1]*a[3, 4]*a[4,1]*a[4,2]-a[2,3]^2*a[3,2]*a[3,4]*a[4,1]^2-a[2,3]*a[2,4]*a[3,1]*a[3,3]*a[ 4,1]*a[4,2]+a[2,3]*a[2,4]*a[3,1]*a[4,1]*a[4,2]*a[4,4]+a[2,3]*a[2,4]*a[3,2]*a[3, 3]*a[4,1]^2-a[2,3]*a[2,4]*a[3,2]*a[4,1]^2*a[4,4]-a[2,4]^2*a[3,1]*a[4,1]*a[4,2]* a[4,3]+a[2,4]^2*a[3,2]*a[4,1]^2*a[4,3])*X[1,2]+(-a[1,2]*a[2,1]^2*a[3,2]^2*a[4,3 ]+a[1,2]*a[2,1]^2*a[3,2]*a[3,3]*a[4,2]-a[1,2]*a[2,1]^2*a[3,2]*a[4,2]*a[4,4]+a[1 ,2]*a[2,1]^2*a[3,4]*a[4,2]^2+2*a[1,2]*a[2,1]*a[2,2]*a[3,1]*a[3,2]*a[4,3]-a[1,2] *a[2,1]*a[2,2]*a[3,1]*a[3,3]*a[4,2]+a[1,2]*a[2,1]*a[2,2]*a[3,1]*a[4,2]*a[4,4]-a [1,2]*a[2,1]*a[2,2]*a[3,2]*a[3,3]*a[4,1]+a[1,2]*a[2,1]*a[2,2]*a[3,2]*a[4,1]*a[4 ,4]-2*a[1,2]*a[2,1]*a[2,2]*a[3,4]*a[4,1]*a[4,2]-a[1,2]*a[2,1]*a[2,3]*a[3,1]*a[3 ,2]*a[4,2]+a[1,2]*a[2,1]*a[2,3]*a[3,2]^2*a[4,1]-a[1,2]*a[2,1]*a[2,4]*a[3,1]*a[4 ,2]^2+a[1,2]*a[2,1]*a[2,4]*a[3,2]*a[4,1]*a[4,2]-a[1,2]*a[2,1]*a[3,1]*a[3,2]*a[3 ,3]*a[4,3]-a[1,2]*a[2,1]*a[3,1]*a[3,2]*a[4,3]*a[4,4]+a[1,2]*a[2,1]*a[3,1]*a[3,3 ]^2*a[4,2]-a[1,2]*a[2,1]*a[3,1]*a[3,3]*a[4,2]*a[4,4]+2*a[1,2]*a[2,1]*a[3,1]*a[3 ,4]*a[4,2]*a[4,3]+a[1,2]*a[2,1]*a[3,2]*a[3,3]*a[4,1]*a[4,4]-2*a[1,2]*a[2,1]*a[3 ,2]*a[3,4]*a[4,1]*a[4,3]-a[1,2]*a[2,1]*a[3,2]*a[4,1]*a[4,4]^2+a[1,2]*a[2,1]*a[3 ,3]*a[3,4]*a[4,1]*a[4,2]+a[1,2]*a[2,1]*a[3,4]*a[4,1]*a[4,2]*a[4,4]-a[1,2]*a[2,2 ]^2*a[3,1]^2*a[4,3]+a[1,2]*a[2,2]^2*a[3,1]*a[3,3]*a[4,1]-a[1,2]*a[2,2]^2*a[3,1] *a[4,1]*a[4,4]+a[1,2]*a[2,2]^2*a[3,4]*a[4,1]^2+a[1,2]*a[2,2]*a[2,3]*a[3,1]^2*a[ 4,2]-a[1,2]*a[2,2]*a[2,3]*a[3,1]*a[3,2]*a[4,1]+a[1,2]*a[2,2]*a[2,4]*a[3,1]*a[4, 1]*a[4,2]-a[1,2]*a[2,2]*a[2,4]*a[3,2]*a[4,1]^2+a[1,2]*a[2,2]*a[3,1]^2*a[3,3]*a[ 4,3]+a[1,2]*a[2,2]*a[3,1]^2*a[4,3]*a[4,4]-a[1,2]*a[2,2]*a[3,1]*a[3,3]^2*a[4,1]+ a[1,2]*a[2,2]*a[3,1]*a[4,1]*a[4,4]^2-a[1,2]*a[2,2]*a[3,3]*a[3,4]*a[4,1]^2-a[1,2 ]*a[2,2]*a[3,4]*a[4,1]^2*a[4,4]-a[1,2]*a[2,3]*a[3,1]^2*a[3,3]*a[4,2]+a[1,2]*a[2 ,3]*a[3,1]*a[3,2]*a[3,3]*a[4,1]-a[1,2]*a[2,3]*a[3,1]*a[3,4]*a[4,1]*a[4,2]+a[1,2 ]*a[2,3]*a[3,2]*a[3,4]*a[4,1]^2-a[1,2]*a[2,4]*a[3,1]^2*a[4,2]*a[4,3]+a[1,2]*a[2 ,4]*a[3,1]*a[3,2]*a[4,1]*a[4,3]-a[1,2]*a[2,4]*a[3,1]*a[4,1]*a[4,2]*a[4,4]+a[1,2 ]*a[2,4]*a[3,2]*a[4,1]^2*a[4,4]-a[1,2]*a[3,1]^2*a[3,3]*a[4,3]*a[4,4]+a[1,2]*a[3 ,1]^2*a[3,4]*a[4,3]^2+a[1,2]*a[3,1]*a[3,3]^2*a[4,1]*a[4,4]-a[1,2]*a[3,1]*a[3,3] *a[3,4]*a[4,1]*a[4,3]-a[1,2]*a[3,1]*a[3,3]*a[4,1]*a[4,4]^2+a[1,2]*a[3,1]*a[3,4] *a[4,1]*a[4,3]*a[4,4]+a[1,2]*a[3,3]*a[3,4]*a[4,1]^2*a[4,4]-a[1,2]*a[3,4]^2*a[4, 1]^2*a[4,3]+a[1,3]*a[2,1]*a[3,1]*a[3,2]^2*a[4,3]-a[1,3]*a[2,1]*a[3,1]*a[3,2]*a[ 3,3]*a[4,2]+a[1,3]*a[2,1]*a[3,1]*a[3,2]*a[4,2]*a[4,4]-a[1,3]*a[2,1]*a[3,1]*a[3, 4]*a[4,2]^2-a[1,3]*a[2,2]*a[3,1]^2*a[3,2]*a[4,3]+a[1,3]*a[2,2]*a[3,1]*a[3,2]*a[ 3,3]*a[4,1]-a[1,3]*a[2,2]*a[3,1]*a[3,2]*a[4,1]*a[4,4]+a[1,3]*a[2,2]*a[3,2]*a[3, 4]*a[4,1]^2+a[1,3]*a[2,3]*a[3,1]^2*a[3,2]*a[4,2]-a[1,3]*a[2,3]*a[3,1]*a[3,2]^2* a[4,1]+a[1,3]*a[2,4]*a[3,1]*a[3,2]*a[4,1]*a[4,2]-a[1,3]*a[2,4]*a[3,2]^2*a[4,1]^ 2+a[1,3]*a[3,1]^2*a[3,2]*a[4,3]*a[4,4]-a[1,3]*a[3,1]^2*a[3,4]*a[4,2]*a[4,3]-a[1 ,3]*a[3,1]*a[3,2]*a[3,3]*a[4,1]*a[4,4]+a[1,3]*a[3,1]*a[3,2]*a[4,1]*a[4,4]^2+a[1 ,3]*a[3,1]*a[3,3]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[3,1]*a[3,4]*a[4,1]*a[4,2]*a[4,4 ]-a[1,3]*a[3,2]*a[3,4]*a[4,1]^2*a[4,4]+a[1,3]*a[3,4]^2*a[4,1]^2*a[4,2]+a[1,4]*a [2,1]*a[3,2]^2*a[4,1]*a[4,3]-a[1,4]*a[2,1]*a[3,2]*a[3,3]*a[4,1]*a[4,2]+a[1,4]*a [2,1]*a[3,2]*a[4,1]*a[4,2]*a[4,4]-a[1,4]*a[2,1]*a[3,4]*a[4,1]*a[4,2]^2-a[1,4]*a [2,2]*a[3,1]^2*a[4,2]*a[4,3]+a[1,4]*a[2,2]*a[3,1]*a[3,3]*a[4,1]*a[4,2]-a[1,4]*a [2,2]*a[3,1]*a[4,1]*a[4,2]*a[4,4]+a[1,4]*a[2,2]*a[3,4]*a[4,1]^2*a[4,2]+a[1,4]*a [2,3]*a[3,1]^2*a[4,2]^2-a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,1]*a[4,2]+a[1,4]*a[2,4] *a[3,1]*a[4,1]*a[4,2]^2-a[1,4]*a[2,4]*a[3,2]*a[4,1]^2*a[4,2]-a[1,4]*a[3,1]^2*a[ 3,2]*a[4,3]^2+a[1,4]*a[3,1]^2*a[3,3]*a[4,2]*a[4,3]+a[1,4]*a[3,1]*a[3,2]*a[3,3]* a[4,1]*a[4,3]-a[1,4]*a[3,1]*a[3,2]*a[4,1]*a[4,3]*a[4,4]-a[1,4]*a[3,1]*a[3,3]^2* a[4,1]*a[4,2]+a[1,4]*a[3,1]*a[3,3]*a[4,1]*a[4,2]*a[4,4]+a[1,4]*a[3,2]*a[3,4]*a[ 4,1]^2*a[4,3]-a[1,4]*a[3,3]*a[3,4]*a[4,1]^2*a[4,2])*X[2,3]+(-a[1,1]*a[1,2]*a[2, 1]*a[2,3]*a[3,2]*a[4,3]+a[1,1]*a[1,2]*a[2,1]*a[2,3]*a[3,3]*a[4,2]-a[1,1]*a[1,2] *a[2,1]*a[2,3]*a[4,2]*a[4,4]+a[1,1]*a[1,2]*a[2,1]*a[2,4]*a[4,2]*a[4,3]+a[1,1]*a [1,2]*a[2,2]*a[2,3]*a[3,1]*a[4,3]-a[1,1]*a[1,2]*a[2,2]*a[2,3]*a[3,3]*a[4,1]+a[1 ,1]*a[1,2]*a[2,2]*a[2,3]*a[4,1]*a[4,4]-a[1,1]*a[1,2]*a[2,2]*a[2,4]*a[4,1]*a[4,3 ]-a[1,1]*a[1,2]*a[2,3]^2*a[3,1]*a[4,2]+a[1,1]*a[1,2]*a[2,3]^2*a[3,2]*a[4,1]-a[1 ,1]*a[1,2]*a[2,3]*a[3,1]*a[4,3]*a[4,4]+a[1,1]*a[1,2]*a[2,3]*a[3,3]*a[4,1]*a[4,4 ]-a[1,1]*a[1,2]*a[2,3]*a[3,4]*a[4,1]*a[4,3]-a[1,1]*a[1,2]*a[2,3]*a[4,1]*a[4,4]^ 2+a[1,1]*a[1,2]*a[2,4]*a[3,1]*a[4,3]^2+a[1,1]*a[1,2]*a[2,4]*a[4,1]*a[4,3]*a[4,4 ]+a[1,1]*a[1,3]*a[2,3]*a[3,4]*a[4,1]*a[4,2]-a[1,1]*a[1,3]*a[2,4]*a[3,2]*a[4,1]* a[4,3]+a[1,1]*a[1,4]*a[2,3]*a[3,2]*a[4,1]*a[4,3]-a[1,1]*a[1,4]*a[2,3]*a[3,3]*a[ 4,1]*a[4,2]+a[1,1]*a[1,4]*a[2,3]*a[4,1]*a[4,2]*a[4,4]-a[1,1]*a[1,4]*a[2,4]*a[4, 1]*a[4,2]*a[4,3]+a[1,2]*a[1,3]*a[2,1]^2*a[3,2]*a[4,3]-a[1,2]*a[1,3]*a[2,1]^2*a[ 3,3]*a[4,2]+a[1,2]*a[1,3]*a[2,1]^2*a[4,2]*a[4,4]-a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[ 3,1]*a[4,3]+a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[3,3]*a[4,1]-a[1,2]*a[1,3]*a[2,1]*a[2, 2]*a[4,1]*a[4,4]+a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,1]*a[4,2]-a[1,2]*a[1,3]*a[2,1] *a[2,3]*a[3,2]*a[4,1]-a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[4,1]*a[4,2]+a[1,2]*a[1,3]*a [2,1]*a[3,1]*a[4,3]*a[4,4]-a[1,2]*a[1,3]*a[2,1]*a[3,3]*a[4,1]*a[4,4]+a[1,2]*a[1 ,3]*a[2,1]*a[3,4]*a[4,1]*a[4,3]+a[1,2]*a[1,3]*a[2,1]*a[4,1]*a[4,4]^2+a[1,2]*a[1 ,3]*a[2,2]*a[2,4]*a[4,1]^2-a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[4,1]*a[4,3]-a[1,2]*a[1 ,3]*a[2,4]*a[4,1]^2*a[4,4]-a[1,2]*a[1,4]*a[2,1]^2*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a [2,1]*a[2,2]*a[4,1]*a[4,3]+a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[4,1]*a[4,2]-a[1,2]*a[1 ,4]*a[2,1]*a[3,1]*a[4,3]^2-a[1,2]*a[1,4]*a[2,1]*a[4,1]*a[4,3]*a[4,4]-a[1,2]*a[1 ,4]*a[2,2]*a[2,3]*a[4,1]^2+a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[4,1]*a[4,3]+a[1,2]*a[1 ,4]*a[2,3]*a[4,1]^2*a[4,4]+a[1,2]*a[2,1]*a[2,3]*a[3,2]*a[3,3]*a[4,3]-a[1,2]*a[2 ,1]*a[2,3]*a[3,3]^2*a[4,2]+a[1,2]*a[2,1]*a[2,3]*a[3,3]*a[4,2]*a[4,4]-a[1,2]*a[2 ,1]*a[2,3]*a[3,4]*a[4,2]*a[4,3]+a[1,2]*a[2,1]*a[2,4]*a[3,2]*a[4,3]^2-a[1,2]*a[2 ,1]*a[2,4]*a[3,3]*a[4,2]*a[4,3]-a[1,2]*a[2,2]*a[2,3]*a[3,1]*a[3,3]*a[4,3]+a[1,2 ]*a[2,2]*a[2,3]*a[3,3]^2*a[4,1]-a[1,2]*a[2,2]*a[2,3]*a[3,3]*a[4,1]*a[4,4]+a[1,2 ]*a[2,2]*a[2,3]*a[3,4]*a[4,1]*a[4,3]-a[1,2]*a[2,2]*a[2,4]*a[3,1]*a[4,3]^2+a[1,2 ]*a[2,2]*a[2,4]*a[3,3]*a[4,1]*a[4,3]+a[1,2]*a[2,3]^2*a[3,1]*a[3,3]*a[4,2]-a[1,2 ]*a[2,3]^2*a[3,2]*a[3,3]*a[4,1]+a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[4,2]*a[4,3]-a[1,2 ]*a[2,3]*a[2,4]*a[3,2]*a[4,1]*a[4,3]+a[1,2]*a[2,3]*a[3,1]*a[3,3]*a[4,3]*a[4,4]- a[1,2]*a[2,3]*a[3,1]*a[3,4]*a[4,3]^2-a[1,2]*a[2,3]*a[3,3]^2*a[4,1]*a[4,4]+a[1,2 ]*a[2,3]*a[3,3]*a[3,4]*a[4,1]*a[4,3]+a[1,2]*a[2,3]*a[3,3]*a[4,1]*a[4,4]^2-a[1,2 ]*a[2,3]*a[3,4]*a[4,1]*a[4,3]*a[4,4]-a[1,2]*a[2,4]*a[3,3]*a[4,1]*a[4,3]*a[4,4]+ a[1,2]*a[2,4]*a[3,4]*a[4,1]*a[4,3]^2-a[1,3]^2*a[2,1]*a[3,4]*a[4,1]*a[4,2]+a[1,3 ]^2*a[2,4]*a[3,2]*a[4,1]^2+a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,1]*a[4,2]-a[1,3]*a[1 ,4]*a[2,1]*a[4,1]*a[4,2]*a[4,4]-a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,1]^2+a[1,3]*a[1 ,4]*a[2,4]*a[4,1]^2*a[4,2]-a[1,3]*a[2,1]*a[2,3]*a[3,2]^2*a[4,3]+a[1,3]*a[2,1]*a [2,3]*a[3,2]*a[3,3]*a[4,2]-a[1,3]*a[2,1]*a[2,3]*a[3,2]*a[4,2]*a[4,4]+a[1,3]*a[2 ,1]*a[2,3]*a[3,4]*a[4,2]^2+a[1,3]*a[2,2]*a[2,3]*a[3,1]*a[3,2]*a[4,3]-a[1,3]*a[2 ,2]*a[2,3]*a[3,2]*a[3,3]*a[4,1]+a[1,3]*a[2,2]*a[2,3]*a[3,2]*a[4,1]*a[4,4]-a[1,3 ]*a[2,2]*a[2,3]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[2,3]^2*a[3,1]*a[3,2]*a[4,2]+a[1,3 ]*a[2,3]^2*a[3,2]^2*a[4,1]-a[1,3]*a[2,3]*a[3,1]*a[3,2]*a[4,3]*a[4,4]+a[1,3]*a[2 ,3]*a[3,1]*a[3,4]*a[4,2]*a[4,3]+a[1,3]*a[2,3]*a[3,2]*a[3,3]*a[4,1]*a[4,4]-a[1,3 ]*a[2,3]*a[3,2]*a[4,1]*a[4,4]^2-a[1,3]*a[2,3]*a[3,3]*a[3,4]*a[4,1]*a[4,2]+a[1,3 ]*a[2,3]*a[3,4]*a[4,1]*a[4,2]*a[4,4]+a[1,3]*a[2,4]*a[3,2]*a[4,1]*a[4,3]*a[4,4]- a[1,3]*a[2,4]*a[3,4]*a[4,1]*a[4,2]*a[4,3]+a[1,4]^2*a[2,1]*a[4,1]*a[4,2]*a[4,3]- a[1,4]^2*a[2,3]*a[4,1]^2*a[4,2]+a[1,4]*a[2,2]*a[2,3]*a[3,1]*a[4,2]*a[4,3]-a[1,4 ]*a[2,2]*a[2,3]*a[3,2]*a[4,1]*a[4,3]-a[1,4]*a[2,3]^2*a[3,1]*a[4,2]^2+a[1,4]*a[2 ,3]^2*a[3,2]*a[4,1]*a[4,2]+a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,3]^2-a[1,4]*a[2,3]*a [3,1]*a[3,3]*a[4,2]*a[4,3]-a[1,4]*a[2,3]*a[3,2]*a[3,3]*a[4,1]*a[4,3]+a[1,4]*a[2 ,3]*a[3,2]*a[4,1]*a[4,3]*a[4,4]+a[1,4]*a[2,3]*a[3,3]^2*a[4,1]*a[4,2]-a[1,4]*a[2 ,3]*a[3,3]*a[4,1]*a[4,2]*a[4,4]-a[1,4]*a[2,4]*a[3,2]*a[4,1]*a[4,3]^2+a[1,4]*a[2 ,4]*a[3,3]*a[4,1]*a[4,2]*a[4,3])*X[3,1]+X[4,1]*(a[1,1]*a[1,2]*a[2,1]*a[2,3]*a[3 ,4]*a[4,2]-a[1,1]*a[1,2]*a[2,1]*a[2,4]*a[3,2]*a[4,3]-a[1,1]*a[1,2]*a[2,2]*a[2,3 ]*a[3,4]*a[4,1]+a[1,1]*a[1,2]*a[2,2]*a[2,4]*a[3,1]*a[4,3]-a[1,1]*a[1,2]*a[2,3]* a[2,4]*a[3,1]*a[4,2]+a[1,1]*a[1,2]*a[2,3]*a[2,4]*a[3,2]*a[4,1]+a[1,1]*a[1,2]*a[ 2,3]*a[3,1]*a[3,4]*a[4,3]+a[1,1]*a[1,2]*a[2,3]*a[3,4]*a[4,1]*a[4,4]-a[1,1]*a[1, 2]*a[2,4]*a[3,1]*a[3,3]*a[4,3]-a[1,1]*a[1,2]*a[2,4]*a[3,4]*a[4,1]*a[4,3]-a[1,1] *a[1,3]*a[2,3]*a[3,1]*a[3,4]*a[4,2]+a[1,1]*a[1,3]*a[2,4]*a[3,1]*a[3,2]*a[4,3]-a [1,1]*a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,3]+a[1,1]*a[1,4]*a[2,3]*a[3,1]*a[3,3]*a[4 ,2]-a[1,1]*a[1,4]*a[2,3]*a[3,1]*a[4,2]*a[4,4]+a[1,1]*a[1,4]*a[2,4]*a[3,1]*a[4,2 ]*a[4,3]-a[1,2]*a[1,3]*a[2,1]^2*a[3,4]*a[4,2]+a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[3,4 ]*a[4,1]+a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,1]*a[4,2]-a[1,2]*a[1,3]*a[2,1]*a[3,1]* a[3,4]*a[4,3]-a[1,2]*a[1,3]*a[2,1]*a[3,4]*a[4,1]*a[4,4]-a[1,2]*a[1,3]*a[2,2]*a[ 2,4]*a[3,1]*a[4,1]+a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[3,3]*a[4,1]+a[1,2]*a[1,3]*a[2, 4]*a[3,4]*a[4,1]^2+a[1,2]*a[1,4]*a[2,1]^2*a[3,2]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[ 2,2]*a[3,1]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[4,1]+a[1,2]*a[1,4]*a[2, 1]*a[3,1]*a[3,3]*a[4,3]+a[1,2]*a[1,4]*a[2,1]*a[3,4]*a[4,1]*a[4,3]+a[1,2]*a[1,4] *a[2,2]*a[2,3]*a[3,1]*a[4,1]-a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[3,3]*a[4,1]-a[1,2]*a [1,4]*a[2,3]*a[3,4]*a[4,1]^2+a[1,2]*a[2,1]*a[2,3]*a[3,2]*a[3,4]*a[4,3]-a[1,2]*a [2,1]*a[2,3]*a[3,3]*a[3,4]*a[4,2]+a[1,2]*a[2,1]*a[2,4]*a[3,2]*a[4,3]*a[4,4]-a[1 ,2]*a[2,1]*a[2,4]*a[3,4]*a[4,2]*a[4,3]-a[1,2]*a[2,2]*a[2,3]*a[3,1]*a[3,4]*a[4,3 ]+a[1,2]*a[2,2]*a[2,3]*a[3,3]*a[3,4]*a[4,1]-a[1,2]*a[2,2]*a[2,4]*a[3,1]*a[4,3]* a[4,4]+a[1,2]*a[2,2]*a[2,4]*a[3,4]*a[4,1]*a[4,3]+a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[ 3,3]*a[4,2]-a[1,2]*a[2,3]*a[2,4]*a[3,2]*a[3,3]*a[4,1]-a[1,2]*a[2,3]*a[3,3]*a[3, 4]*a[4,1]*a[4,4]+a[1,2]*a[2,3]*a[3,4]^2*a[4,1]*a[4,3]+a[1,2]*a[2,4]^2*a[3,1]*a[ 4,2]*a[4,3]-a[1,2]*a[2,4]^2*a[3,2]*a[4,1]*a[4,3]+a[1,2]*a[2,4]*a[3,1]*a[3,3]*a[ 4,3]*a[4,4]-a[1,2]*a[2,4]*a[3,1]*a[3,4]*a[4,3]^2+a[1,3]^2*a[2,1]*a[3,1]*a[3,4]* a[4,2]-a[1,3]^2*a[2,4]*a[3,1]*a[3,2]*a[4,1]-a[1,3]*a[1,4]*a[2,1]*a[3,1]*a[3,3]* a[4,2]+a[1,3]*a[1,4]*a[2,1]*a[3,1]*a[4,2]*a[4,4]+a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[ 3,2]*a[4,1]-a[1,3]*a[1,4]*a[2,4]*a[3,1]*a[4,1]*a[4,2]+a[1,3]*a[2,2]*a[2,3]*a[3, 1]*a[3,4]*a[4,2]-a[1,3]*a[2,2]*a[2,3]*a[3,2]*a[3,4]*a[4,1]-a[1,3]*a[2,3]*a[2,4] *a[3,1]*a[3,2]*a[4,2]+a[1,3]*a[2,3]*a[2,4]*a[3,2]^2*a[4,1]+a[1,3]*a[2,3]*a[3,2] *a[3,4]*a[4,1]*a[4,4]-a[1,3]*a[2,3]*a[3,4]^2*a[4,1]*a[4,2]-a[1,3]*a[2,4]*a[3,1] *a[3,2]*a[4,3]*a[4,4]+a[1,3]*a[2,4]*a[3,1]*a[3,4]*a[4,2]*a[4,3]-a[1,4]^2*a[2,1] *a[3,1]*a[4,2]*a[4,3]+a[1,4]^2*a[2,3]*a[3,1]*a[4,1]*a[4,2]-a[1,4]*a[2,1]*a[2,3] *a[3,2]^2*a[4,3]+a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[3,3]*a[4,2]-a[1,4]*a[2,1]*a[2,3] *a[3,2]*a[4,2]*a[4,4]+a[1,4]*a[2,1]*a[2,3]*a[3,4]*a[4,2]^2+a[1,4]*a[2,2]*a[2,3] *a[3,1]*a[3,2]*a[4,3]-a[1,4]*a[2,2]*a[2,3]*a[3,1]*a[3,3]*a[4,2]+a[1,4]*a[2,2]*a [2,3]*a[3,1]*a[4,2]*a[4,4]-a[1,4]*a[2,2]*a[2,3]*a[3,4]*a[4,1]*a[4,2]-a[1,4]*a[2 ,3]*a[2,4]*a[3,1]*a[4,2]^2+a[1,4]*a[2,3]*a[2,4]*a[3,2]*a[4,1]*a[4,2]-a[1,4]*a[2 ,3]*a[3,2]*a[3,4]*a[4,1]*a[4,3]+a[1,4]*a[2,3]*a[3,3]*a[3,4]*a[4,1]*a[4,2]+a[1,4 ]*a[2,4]*a[3,1]*a[3,2]*a[4,3]^2-a[1,4]*a[2,4]*a[3,1]*a[3,3]*a[4,2]*a[4,3]) = 0 ------------------------------------ Theorem number, 27, : let, {X[1, 2], X[2, 3], X[3, 4], X[4, 1]}, be the entri\ es of an ARBITRARY power of the general matrix M, we always have the lin\ ear relation 2 (-a[1, 1] a[2, 2] a[2, 3] a[3, 4] a[4, 1] 2 + a[1, 1] a[2, 3] a[2, 4] a[3, 2] a[4, 1] 2 + a[1, 1] a[2, 3] a[3, 4] a[4, 1] a[4, 4] 2 - a[1, 1] a[2, 4] a[3, 4] a[4, 1] a[4, 3] + a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 1] - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 1] + a[1, 1] a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 1] - a[1, 1] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 1] - a[1, 1] a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 4] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 4] a[4, 1] - a[1, 1] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 1] + a[1, 1] a[1, 4] a[2, 1] a[3, 4] a[4, 1] a[4, 3] + a[1, 1] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 1] - a[1, 1] a[1, 4] a[2, 3] a[3, 1] a[4, 1] a[4, 4] 2 - a[1, 1] a[1, 4] a[2, 3] a[3, 4] a[4, 1] + a[1, 1] a[1, 4] a[2, 4] a[3, 1] a[4, 1] a[4, 3] - a[1, 1] a[2, 1] a[2, 2] a[2, 3] a[3, 4] a[4, 2] + a[1, 1] a[2, 1] a[2, 3] a[2, 4] a[3, 2] a[4, 2] + a[1, 1] a[2, 1] a[2, 3] a[3, 4] a[4, 2] a[4, 4] - a[1, 1] a[2, 1] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 1] a[2, 2] a[2, 3] a[3, 4] a[4, 1] - a[1, 1] a[2, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 1] - a[1, 1] a[2, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] + a[1, 1] a[2, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 1] - a[1, 1] a[2, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 4] + a[1, 1] a[2, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 3] + a[1, 1] a[2, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] - a[1, 1] a[2, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] + a[1, 1] a[2, 3] a[3, 1] a[3, 4] a[4, 3] a[4, 4] - a[1, 1] a[2, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 4] 2 - a[1, 1] a[2, 4] a[3, 1] a[3, 4] a[4, 3] + a[1, 1] a[2, 4] a[3, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 1] + a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 1] a[4, 1] 2 + a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 2] - a[1, 2] a[2, 1] a[2, 2] a[2, 3] a[3, 4] a[4, 1] - a[1, 2] a[2, 1] a[2, 3] a[2, 4] a[3, 1] a[4, 2] + a[1, 2] a[2, 1] a[2, 3] a[3, 1] a[3, 4] a[4, 3] - a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[3, 4] a[4, 1] + a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 1] a[4, 4] - a[1, 2] a[2, 1] a[2, 4] a[3, 4] a[4, 1] a[4, 3] + a[1, 2] a[2, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 1] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[3, 3] a[4, 1] - a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 3] 2 + a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 1] - a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[4, 1] + a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[4, 1] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 1] 2 - a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] 2 + a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 2] a[4, 4] + a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[3, 4] a[4, 3] - a[1, 3] a[2, 1] a[2, 2] a[3, 3] a[3, 4] a[4, 1] - a[1, 3] a[2, 1] a[2, 3] a[3, 1] a[3, 4] a[4, 2] + a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[3, 4] a[4, 1] + a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 1] a[4, 4] + a[1, 3] a[2, 1] a[2, 4] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[2, 1] a[3, 1] a[3, 4] a[4, 3] a[4, 4] + a[1, 3] a[2, 1] a[3, 3] a[3, 4] a[4, 1] a[4, 4] 2 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 1] + a[1, 3] a[2, 4] a[3, 1] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 1] 2 - a[1, 4] a[2, 1] a[3, 1] a[4, 1] a[4, 3] 2 2 + a[1, 4] a[2, 3] a[3, 1] a[4, 1] 2 - a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 2] 2 + a[1, 4] a[2, 1] a[3, 4] a[4, 2] a[4, 3] + a[1, 4] a[2, 1] a[2, 2] a[2, 3] a[3, 1] a[4, 2] + a[1, 4] a[2, 1] a[2, 2] a[2, 3] a[3, 2] a[4, 1] - a[1, 4] a[2, 1] a[2, 3] a[3, 1] a[3, 3] a[4, 2] + a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[3, 3] a[4, 1] - a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 1] a[4, 4] - a[1, 4] a[2, 1] a[2, 3] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 1] a[3, 1] a[3, 4] a[4, 3] - a[1, 4] a[2, 1] a[3, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 1] + a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 1] a[4, 4] - a[1, 4] a[2, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 3] 2 2 + a[1, 4] a[2, 3] a[3, 1] a[4, 2] 2 - a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 1] 2 + a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 1] - a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 3] a[3, 4] a[4, 1] - a[2, 1] a[2, 2] a[2, 3] a[3, 2] a[3, 4] a[4, 3] + a[2, 1] a[2, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 2] 2 + a[2, 1] a[2, 3] a[2, 4] a[3, 2] a[4, 3] - a[2, 1] a[2, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 2] + a[2, 1] a[2, 3] a[3, 2] a[3, 4] a[4, 3] a[4, 4] - a[2, 1] a[2, 3] a[3, 3] a[3, 4] a[4, 2] a[4, 4] 2 - a[2, 1] a[2, 4] a[3, 2] a[3, 4] a[4, 3] + a[2, 1] a[2, 4] a[3, 3] a[3, 4] a[4, 2] a[4, 3] 2 + a[2, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] 2 - a[2, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 1] 2 - a[2, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 2] 2 + a[2, 2] a[2, 3] a[3, 2] a[3, 4] a[4, 1] - a[2, 2] a[2, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 3] + a[2, 2] a[2, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 1] - a[2, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] a[4, 4] + a[2, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 4] 2 + a[2, 2] a[2, 4] a[3, 1] a[3, 4] a[4, 3] - a[2, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 1] a[4, 3] 2 + a[2, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 2] 2 2 - a[2, 3] a[2, 4] a[3, 2] a[4, 1] 2 + a[2, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 4] 2 - a[2, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 4] - a[2, 3] a[2, 4] a[3, 1] a[3, 4] a[4, 2] a[4, 3] + a[2, 3] a[2, 4] a[3, 2] a[3, 4] a[4, 1] a[4, 3]) X[1, 2] + ( a[1, 1] a[1, 2] a[2, 1] a[2, 2] a[3, 4] a[4, 2] - a[1, 1] a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 2] + a[1, 1] a[1, 2] a[2, 1] a[3, 2] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[2, 1] a[3, 3] a[3, 4] a[4, 2] 2 - a[1, 1] a[1, 2] a[2, 2] a[3, 4] a[4, 1] + a[1, 1] a[1, 2] a[2, 2] a[2, 4] a[3, 2] a[4, 1] + a[1, 1] a[1, 2] a[2, 2] a[3, 3] a[3, 4] a[4, 1] + a[1, 1] a[1, 2] a[2, 2] a[3, 4] a[4, 1] a[4, 4] + a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 2] - a[1, 1] a[1, 2] a[2, 3] a[3, 2] a[3, 4] a[4, 1] - a[1, 1] a[1, 2] a[2, 4] a[3, 1] a[3, 2] a[4, 3] - a[1, 1] a[1, 2] a[2, 4] a[3, 2] a[4, 1] a[4, 4] - a[1, 1] a[1, 2] a[3, 3] a[3, 4] a[4, 1] a[4, 4] 2 + a[1, 1] a[1, 2] a[3, 4] a[4, 1] a[4, 3] - a[1, 1] a[1, 3] a[2, 2] a[3, 2] a[3, 4] a[4, 1] 2 + a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 1] + a[1, 1] a[1, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 4] 2 - a[1, 1] a[1, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 1] a[1, 4] a[2, 2] a[3, 4] a[4, 1] a[4, 2] + a[1, 1] a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 2] - a[1, 1] a[1, 4] a[3, 2] a[3, 4] a[4, 1] a[4, 3] + a[1, 1] a[1, 4] a[3, 3] a[3, 4] a[4, 1] a[4, 2] 2 2 - a[1, 2] a[2, 1] a[3, 4] a[4, 2] 2 + a[1, 2] a[2, 1] a[2, 2] a[3, 4] a[4, 1] 2 + a[1, 2] a[2, 1] a[2, 4] a[3, 1] a[4, 2] 2 - a[1, 2] a[2, 1] a[3, 1] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 1] a[3, 4] a[4, 1] a[4, 4] 2 - a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[4, 1] 2 2 + a[1, 2] a[2, 4] a[3, 1] a[4, 3] 2 + a[1, 2] a[2, 4] a[3, 1] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 1] 2 + a[1, 2] a[1, 4] a[2, 1] a[3, 2] a[4, 2] - a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[3, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[3, 2] a[4, 1] + a[1, 2] a[1, 4] a[2, 1] a[3, 1] a[3, 3] a[4, 2] + a[1, 2] a[1, 4] a[2, 1] a[3, 2] a[4, 1] a[4, 4] + a[1, 2] a[1, 4] a[2, 1] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 2] a[1, 4] a[2, 2] a[3, 1] a[4, 1] - a[1, 2] a[1, 4] a[2, 2] a[3, 1] a[3, 3] a[4, 1] - a[1, 2] a[1, 4] a[2, 2] a[3, 1] a[4, 1] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 2] + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 1] - a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[4, 1] a[4, 2] + a[1, 2] a[1, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 4] - a[1, 2] a[1, 4] a[3, 1] a[3, 4] a[4, 1] a[4, 3] + a[1, 2] a[2, 1] a[2, 2] a[3, 2] a[3, 4] a[4, 3] - a[1, 2] a[2, 1] a[2, 2] a[3, 3] a[3, 4] a[4, 2] 2 - a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 3] + a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[3, 3] a[4, 2] - a[1, 2] a[2, 1] a[3, 2] a[3, 3] a[3, 4] a[4, 3] - a[1, 2] a[2, 1] a[3, 2] a[3, 4] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 1] a[3, 3] a[3, 4] a[4, 2] 2 + a[1, 2] a[2, 1] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 2] a[2, 2] a[3, 1] a[3, 4] a[4, 3] 2 + a[1, 2] a[2, 2] a[3, 3] a[3, 4] a[4, 1] + a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 2] - a[1, 2] a[2, 2] a[2, 3] a[3, 2] a[3, 4] a[4, 1] + a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[3, 2] a[4, 3] - a[1, 2] a[2, 2] a[2, 4] a[3, 2] a[3, 3] a[4, 1] + a[1, 2] a[2, 2] a[3, 1] a[3, 3] a[3, 4] a[4, 3] + a[1, 2] a[2, 2] a[3, 1] a[3, 4] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 2] a[3, 3] a[3, 4] a[4, 1] - a[1, 2] a[2, 2] a[3, 3] a[3, 4] a[4, 1] a[4, 4] - a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[3, 2] a[4, 2] 2 + a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 1] - a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[3, 4] a[4, 2] - a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 4] + a[1, 2] a[2, 3] a[3, 2] a[3, 3] a[3, 4] a[4, 1] + a[1, 2] a[2, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 4] + a[1, 2] a[2, 4] a[3, 2] a[3, 3] a[4, 1] a[4, 4] - a[1, 2] a[2, 4] a[3, 2] a[3, 4] a[4, 1] a[4, 3] - a[1, 2] a[3, 1] a[3, 3] a[3, 4] a[4, 3] a[4, 4] 2 2 + a[1, 2] a[3, 1] a[3, 4] a[4, 3] 2 + a[1, 2] a[3, 3] a[3, 4] a[4, 1] a[4, 4] 2 - a[1, 2] a[3, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 3] a[1, 4] a[2, 1] a[3, 2] a[4, 1] + a[1, 3] a[1, 4] a[2, 2] a[3, 1] a[3, 2] a[4, 1] - a[1, 3] a[1, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 4] + a[1, 3] a[1, 4] a[3, 1] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 3] - a[1, 3] a[2, 1] a[3, 2] a[3, 3] a[3, 4] a[4, 2] + a[1, 3] a[2, 1] a[3, 2] a[3, 4] a[4, 2] a[4, 4] 2 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 2] - a[1, 3] a[2, 2] a[3, 1] a[3, 2] a[3, 4] a[4, 3] + a[1, 3] a[2, 2] a[3, 2] a[3, 3] a[3, 4] a[4, 1] + a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 1] 2 - a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 4] + a[1, 3] a[2, 4] a[3, 2] a[3, 4] a[4, 1] a[4, 2] + a[1, 3] a[3, 1] a[3, 2] a[3, 4] a[4, 3] a[4, 4] 2 - a[1, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 3] - a[1, 3] a[3, 2] a[3, 3] a[3, 4] a[4, 1] a[4, 4] 2 + a[1, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 4] a[2, 1] a[3, 2] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 2] a[3, 1] a[4, 1] a[4, 2] 2 + a[1, 4] a[3, 1] a[3, 2] a[4, 1] a[4, 3] 2 - a[1, 4] a[3, 1] a[3, 3] a[4, 1] a[4, 2] - a[1, 4] a[2, 2] a[3, 1] a[3, 4] a[4, 2] a[4, 3] + a[1, 4] a[2, 2] a[3, 3] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 2] - a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3] - a[1, 4] a[2, 4] a[3, 2] a[3, 3] a[4, 1] a[4, 2] 2 - a[1, 4] a[3, 1] a[3, 2] a[3, 4] a[4, 3] + a[1, 4] a[3, 1] a[3, 3] a[3, 4] a[4, 2] a[4, 3] + a[1, 4] a[3, 2] a[3, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 4] a[3, 3] a[3, 4] a[4, 1] a[4, 2]) X[2, 3] + ( -a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[4, 3] + a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[4, 2] - a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[4, 2] a[4, 4] + a[1, 1] a[1, 2] a[2, 1] a[2, 4] a[4, 2] a[4, 3] + a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[4, 3] - a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 3] a[4, 1] + a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[4, 1] a[4, 4] - a[1, 1] a[1, 2] a[2, 2] a[2, 4] a[4, 1] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[4, 2] 2 + a[1, 1] a[1, 2] a[2, 3] a[3, 2] a[4, 1] - a[1, 1] a[1, 2] a[2, 3] a[3, 1] a[4, 3] a[4, 4] + a[1, 1] a[1, 2] a[2, 3] a[3, 3] a[4, 1] a[4, 4] - a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 3] a[4, 1] a[4, 4] 2 + a[1, 1] a[1, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 1] a[1, 2] a[2, 4] a[4, 1] a[4, 3] a[4, 4] + a[1, 1] a[1, 3] a[2, 3] a[3, 4] a[4, 1] a[4, 2] - a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 3] + a[1, 1] a[1, 4] a[2, 3] a[3, 2] a[4, 1] a[4, 3] - a[1, 1] a[1, 4] a[2, 3] a[3, 3] a[4, 1] a[4, 2] + a[1, 1] a[1, 4] a[2, 3] a[4, 1] a[4, 2] a[4, 4] - a[1, 1] a[1, 4] a[2, 4] a[4, 1] a[4, 2] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 2] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 2] 2 + a[1, 2] a[1, 3] a[2, 1] a[4, 2] a[4, 4] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 1] a[4, 3] + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 3] a[4, 1] - a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 1] a[4, 2] - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 1] - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[4, 1] a[4, 2] + a[1, 2] a[1, 3] a[2, 1] a[3, 1] a[4, 3] a[4, 4] - a[1, 2] a[1, 3] a[2, 1] a[3, 3] a[4, 1] a[4, 4] + a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 3] a[2, 1] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[4, 1] - a[1, 2] a[1, 3] a[2, 4] a[3, 1] a[4, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 4] a[4, 1] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 1] a[4, 2] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[4, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[4, 1] a[4, 2] 2 - a[1, 2] a[1, 4] a[2, 1] a[3, 1] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[4, 1] a[4, 3] a[4, 4] 2 - a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[4, 1] + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 1] a[4, 3] 2 + a[1, 2] a[1, 4] a[2, 3] a[4, 1] a[4, 4] + a[1, 2] a[2, 1] a[2, 3] a[3, 2] a[3, 3] a[4, 3] 2 - a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[4, 2] + a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[4, 2] a[4, 4] - a[1, 2] a[2, 1] a[2, 3] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 2] a[2, 1] a[2, 4] a[3, 2] a[4, 3] - a[1, 2] a[2, 1] a[2, 4] a[3, 3] a[4, 2] a[4, 3] - a[1, 2] a[2, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 3] 2 + a[1, 2] a[2, 2] a[2, 3] a[3, 3] a[4, 1] - a[1, 2] a[2, 2] a[2, 3] a[3, 3] a[4, 1] a[4, 4] + a[1, 2] a[2, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 2] a[2, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[2, 2] a[2, 4] a[3, 3] a[4, 1] a[4, 3] 2 + a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 2] 2 - a[1, 2] a[2, 3] a[3, 2] a[3, 3] a[4, 1] + a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[4, 2] a[4, 3] - a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 3] + a[1, 2] a[2, 3] a[3, 1] a[3, 3] a[4, 3] a[4, 4] 2 - a[1, 2] a[2, 3] a[3, 1] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 3] a[4, 1] a[4, 4] + a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 3] 2 + a[1, 2] a[2, 3] a[3, 3] a[4, 1] a[4, 4] - a[1, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 3] a[4, 4] - a[1, 2] a[2, 4] a[3, 3] a[4, 1] a[4, 3] a[4, 4] 2 + a[1, 2] a[2, 4] a[3, 4] a[4, 1] a[4, 3] 2 - a[1, 3] a[2, 1] a[3, 4] a[4, 1] a[4, 2] 2 2 + a[1, 3] a[2, 4] a[3, 2] a[4, 1] + a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[4, 1] a[4, 2] - a[1, 3] a[1, 4] a[2, 1] a[4, 1] a[4, 2] a[4, 4] 2 - a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[4, 1] 2 + a[1, 3] a[1, 4] a[2, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 3] + a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[3, 3] a[4, 2] - a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[4, 2] a[4, 4] 2 + a[1, 3] a[2, 1] a[2, 3] a[3, 4] a[4, 2] + a[1, 3] a[2, 2] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 3] a[2, 2] a[2, 3] a[3, 2] a[3, 3] a[4, 1] + a[1, 3] a[2, 2] a[2, 3] a[3, 2] a[4, 1] a[4, 4] - a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 1] a[4, 2] 2 - a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 2] 2 2 + a[1, 3] a[2, 3] a[3, 2] a[4, 1] - a[1, 3] a[2, 3] a[3, 1] a[3, 2] a[4, 3] a[4, 4] + a[1, 3] a[2, 3] a[3, 1] a[3, 4] a[4, 2] a[4, 3] + a[1, 3] a[2, 3] a[3, 2] a[3, 3] a[4, 1] a[4, 4] 2 - a[1, 3] a[2, 3] a[3, 2] a[4, 1] a[4, 4] - a[1, 3] a[2, 3] a[3, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 3] a[2, 3] a[3, 4] a[4, 1] a[4, 2] a[4, 4] + a[1, 3] a[2, 4] a[3, 2] a[4, 1] a[4, 3] a[4, 4] - a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[4, 1] a[4, 2] a[4, 3] 2 2 - a[1, 4] a[2, 3] a[4, 1] a[4, 2] + a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 2] a[4, 3] - a[1, 4] a[2, 2] a[2, 3] a[3, 2] a[4, 1] a[4, 3] 2 2 - a[1, 4] a[2, 3] a[3, 1] a[4, 2] 2 + a[1, 4] a[2, 3] a[3, 2] a[4, 1] a[4, 2] 2 + a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] - a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] a[4, 3] - a[1, 4] a[2, 3] a[3, 2] a[3, 3] a[4, 1] a[4, 3] + a[1, 4] a[2, 3] a[3, 2] a[4, 1] a[4, 3] a[4, 4] 2 + a[1, 4] a[2, 3] a[3, 3] a[4, 1] a[4, 2] - a[1, 4] a[2, 3] a[3, 3] a[4, 1] a[4, 2] a[4, 4] 2 - a[1, 4] a[2, 4] a[3, 2] a[4, 1] a[4, 3] + a[1, 4] a[2, 4] a[3, 3] a[4, 1] a[4, 2] a[4, 3]) X[3, 4] + X[4, 1] ( 2 a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 4] 2 - a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 2] 2 - a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 4] 2 + a[1, 1] a[1, 2] a[2, 4] a[3, 4] a[4, 3] 2 - a[1, 1] a[1, 2] a[2, 1] a[2, 3] a[3, 4] 2 + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 1] - a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 4] + a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 2] + a[1, 1] a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 4] - a[1, 1] a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 1] + a[1, 1] a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] - a[1, 1] a[1, 2] a[1, 4] a[2, 1] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 4] + a[1, 1] a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 1] - a[1, 1] a[1, 2] a[1, 4] a[2, 4] a[3, 1] a[4, 3] - a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 3] a[3, 4] - a[1, 1] a[1, 2] a[2, 2] a[2, 3] a[3, 4] a[4, 4] + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[3, 3] + a[1, 1] a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[4, 4] + a[1, 1] a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 4] 2 + a[1, 1] a[1, 2] a[2, 3] a[3, 4] a[4, 4] - a[1, 1] a[1, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 3] - a[1, 1] a[1, 2] a[2, 4] a[3, 4] a[4, 3] a[4, 4] + a[1, 1] a[1, 3] a[2, 2] a[2, 3] a[3, 2] a[3, 4] 2 - a[1, 1] a[1, 3] a[2, 3] a[2, 4] a[3, 2] - a[1, 1] a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 4] + a[1, 1] a[1, 3] a[2, 4] a[3, 2] a[3, 4] a[4, 3] + a[1, 1] a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 2] - a[1, 1] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 2] - a[1, 1] a[1, 4] a[2, 3] a[3, 4] a[4, 2] a[4, 4] + a[1, 1] a[1, 4] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 2 + a[1, 2] a[1, 3] a[2, 1] a[3, 4] 2 - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 1] 2 + a[1, 2] a[2, 1] a[2, 3] a[3, 3] a[3, 4] 2 + a[1, 2] a[2, 1] a[2, 4] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 3] a[2, 4] a[3, 1] a[3, 3] 2 2 - a[1, 2] a[2, 4] a[3, 1] a[4, 3] 2 - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 2] + a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[3, 1] - a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[3, 1] a[4, 4] + a[1, 2] a[1, 3] a[1, 4] a[2, 4] a[3, 1] a[4, 1] + a[1, 2] a[1, 3] a[2, 1] a[2, 2] a[3, 4] a[4, 4] - a[1, 2] a[1, 3] a[2, 1] a[2, 3] a[3, 2] a[3, 4] - a[1, 2] a[1, 3] a[2, 1] a[2, 4] a[3, 2] a[4, 4] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 3] 2 - a[1, 2] a[1, 3] a[2, 1] a[3, 4] a[4, 4] - a[1, 2] a[1, 3] a[2, 2] a[2, 4] a[3, 4] a[4, 1] + a[1, 2] a[1, 3] a[2, 3] a[2, 4] a[3, 1] a[3, 2] 2 + a[1, 2] a[1, 3] a[2, 4] a[3, 2] a[4, 1] + a[1, 2] a[1, 3] a[2, 4] a[3, 3] a[3, 4] a[4, 1] + a[1, 2] a[1, 3] a[2, 4] a[3, 4] a[4, 1] a[4, 4] 2 + a[1, 2] a[1, 4] a[2, 1] a[3, 1] a[4, 3] 2 - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[4, 1] - a[1, 2] a[1, 4] a[2, 1] a[2, 2] a[3, 4] a[4, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[3, 3] - a[1, 2] a[1, 4] a[2, 1] a[2, 3] a[3, 4] a[4, 2] + a[1, 2] a[1, 4] a[2, 1] a[3, 3] a[3, 4] a[4, 3] + a[1, 2] a[1, 4] a[2, 1] a[3, 4] a[4, 3] a[4, 4] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[3, 3] + a[1, 2] a[1, 4] a[2, 2] a[2, 3] a[3, 4] a[4, 1] + a[1, 2] a[1, 4] a[2, 2] a[2, 4] a[3, 1] a[4, 3] + a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 1] a[4, 2] - a[1, 2] a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 1] - a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 4] + a[1, 2] a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 3] - a[1, 2] a[1, 4] a[2, 3] a[3, 3] a[3, 4] a[4, 1] - a[1, 2] a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 4] + a[1, 2] a[2, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 4] 2 - a[1, 2] a[2, 2] a[2, 3] a[3, 4] a[4, 3] - a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 4] + a[1, 2] a[2, 3] a[2, 4] a[3, 2] a[3, 4] a[4, 3] 2 - a[1, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 4] 2 + a[1, 2] a[2, 3] a[3, 4] a[4, 3] a[4, 4] + a[1, 2] a[2, 4] a[3, 3] a[3, 4] a[4, 3] a[4, 4] 2 2 2 2 - a[1, 2] a[2, 4] a[3, 4] a[4, 3] + a[1, 3] a[2, 1] a[3, 4] a[4, 2] 2 - a[1, 3] a[2, 4] a[3, 2] a[3, 4] a[4, 1] 2 + a[1, 3] a[1, 4] a[2, 1] a[2, 3] a[3, 2] - a[1, 3] a[1, 4] a[2, 1] a[3, 3] a[3, 4] a[4, 2] + a[1, 3] a[1, 4] a[2, 1] a[3, 4] a[4, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[3, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 4] - a[1, 3] a[1, 4] a[2, 3] a[3, 1] a[3, 4] a[4, 2] + a[1, 3] a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 1] - a[1, 3] a[1, 4] a[2, 4] a[3, 4] a[4, 1] a[4, 2] - a[1, 3] a[2, 2] a[2, 3] a[3, 2] a[3, 4] a[4, 4] 2 + a[1, 3] a[2, 2] a[2, 3] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[4, 4] - a[1, 3] a[2, 3] a[2, 4] a[3, 2] a[3, 4] a[4, 2] 2 + a[1, 3] a[2, 3] a[3, 2] a[3, 4] a[4, 4] 2 - a[1, 3] a[2, 3] a[3, 4] a[4, 2] a[4, 4] - a[1, 3] a[2, 4] a[3, 2] a[3, 4] a[4, 3] a[4, 4] 2 + a[1, 3] a[2, 4] a[3, 4] a[4, 2] a[4, 3] 2 + a[1, 4] a[2, 1] a[2, 3] a[3, 2] a[4, 2] 2 - a[1, 4] a[2, 1] a[3, 4] a[4, 2] a[4, 3] 2 - a[1, 4] a[2, 2] a[2, 3] a[3, 1] a[4, 2] 2 - a[1, 4] a[2, 3] a[3, 1] a[3, 2] a[4, 3] 2 + a[1, 4] a[2, 3] a[3, 1] a[3, 3] a[4, 2] 2 + a[1, 4] a[2, 3] a[3, 4] a[4, 1] a[4, 2] + a[1, 4] a[2, 2] a[2, 3] a[3, 2] a[3, 4] a[4, 3] - a[1, 4] a[2, 2] a[2, 3] a[3, 3] a[3, 4] a[4, 2] 2 - a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[4, 3] + a[1, 4] a[2, 3] a[2, 4] a[3, 2] a[3, 3] a[4, 2] - a[1, 4] a[2, 3] a[3, 2] a[3, 4] a[4, 3] a[4, 4] + a[1, 4] a[2, 3] a[3, 3] a[3, 4] a[4, 2] a[4, 4] 2 + a[1, 4] a[2, 4] a[3, 2] a[3, 4] a[4, 3] - a[1, 4] a[2, 4] a[3, 3] a[3, 4] a[4, 2] a[4, 3]) = 0 in Maple notation (-a[1,1]^2*a[2,2]*a[2,3]*a[3,4]*a[4,1]+a[1,1]^2*a[2,3]*a[2,4]*a[3,2]*a[4,1]+a[1 ,1]^2*a[2,3]*a[3,4]*a[4,1]*a[4,4]-a[1,1]^2*a[2,4]*a[3,4]*a[4,1]*a[4,3]+a[1,1]*a [1,2]*a[2,1]*a[2,3]*a[3,4]*a[4,1]-a[1,1]*a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[4,1]+a[1 ,1]*a[1,3]*a[2,1]*a[2,2]*a[3,4]*a[4,1]-a[1,1]*a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[4,1 ]-a[1,1]*a[1,3]*a[2,1]*a[3,4]*a[4,1]*a[4,4]+a[1,1]*a[1,3]*a[2,4]*a[3,4]*a[4,1]^ 2-a[1,1]*a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[4,1]+a[1,1]*a[1,4]*a[2,1]*a[3,4]*a[4,1]* a[4,3]+a[1,1]*a[1,4]*a[2,2]*a[2,3]*a[3,1]*a[4,1]-a[1,1]*a[1,4]*a[2,3]*a[3,1]*a[ 4,1]*a[4,4]-a[1,1]*a[1,4]*a[2,3]*a[3,4]*a[4,1]^2+a[1,1]*a[1,4]*a[2,4]*a[3,1]*a[ 4,1]*a[4,3]-a[1,1]*a[2,1]*a[2,2]*a[2,3]*a[3,4]*a[4,2]+a[1,1]*a[2,1]*a[2,3]*a[2, 4]*a[3,2]*a[4,2]+a[1,1]*a[2,1]*a[2,3]*a[3,4]*a[4,2]*a[4,4]-a[1,1]*a[2,1]*a[2,4] *a[3,4]*a[4,2]*a[4,3]+a[1,1]*a[2,2]^2*a[2,3]*a[3,4]*a[4,1]-a[1,1]*a[2,2]*a[2,3] *a[2,4]*a[3,2]*a[4,1]-a[1,1]*a[2,2]*a[2,3]*a[3,1]*a[3,4]*a[4,3]+a[1,1]*a[2,2]*a [2,3]*a[3,3]*a[3,4]*a[4,1]-a[1,1]*a[2,2]*a[2,3]*a[3,4]*a[4,1]*a[4,4]+a[1,1]*a[2 ,2]*a[2,4]*a[3,4]*a[4,1]*a[4,3]+a[1,1]*a[2,3]*a[2,4]*a[3,1]*a[3,2]*a[4,3]-a[1,1 ]*a[2,3]*a[2,4]*a[3,2]*a[3,3]*a[4,1]+a[1,1]*a[2,3]*a[3,1]*a[3,4]*a[4,3]*a[4,4]- a[1,1]*a[2,3]*a[3,3]*a[3,4]*a[4,1]*a[4,4]-a[1,1]*a[2,4]*a[3,1]*a[3,4]*a[4,3]^2+ a[1,1]*a[2,4]*a[3,3]*a[3,4]*a[4,1]*a[4,3]-a[1,2]*a[1,3]*a[2,1]^2*a[3,4]*a[4,1]+ a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[3,1]*a[4,1]+a[1,2]*a[2,1]^2*a[2,3]*a[3,4]*a[4,2]- a[1,2]*a[2,1]*a[2,2]*a[2,3]*a[3,4]*a[4,1]-a[1,2]*a[2,1]*a[2,3]*a[2,4]*a[3,1]*a[ 4,2]+a[1,2]*a[2,1]*a[2,3]*a[3,1]*a[3,4]*a[4,3]-a[1,2]*a[2,1]*a[2,3]*a[3,3]*a[3, 4]*a[4,1]+a[1,2]*a[2,1]*a[2,3]*a[3,4]*a[4,1]*a[4,4]-a[1,2]*a[2,1]*a[2,4]*a[3,4] *a[4,1]*a[4,3]+a[1,2]*a[2,2]*a[2,3]*a[2,4]*a[3,1]*a[4,1]-a[1,2]*a[2,3]*a[2,4]*a [3,1]^2*a[4,3]+a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[3,3]*a[4,1]-a[1,2]*a[2,3]*a[2,4]*a [3,1]*a[4,1]*a[4,4]+a[1,2]*a[2,4]^2*a[3,1]*a[4,1]*a[4,3]+a[1,3]*a[1,4]*a[2,1]^2 *a[3,2]*a[4,1]-a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[3,1]*a[4,1]+a[1,3]*a[1,4]*a[2,1]*a [3,1]*a[4,1]*a[4,4]-a[1,3]*a[1,4]*a[2,4]*a[3,1]*a[4,1]^2-a[1,3]*a[2,1]^2*a[3,2] *a[3,4]*a[4,3]+a[1,3]*a[2,1]^2*a[3,3]*a[3,4]*a[4,2]-a[1,3]*a[2,1]^2*a[3,4]*a[4, 2]*a[4,4]+a[1,3]*a[2,1]*a[2,2]*a[3,1]*a[3,4]*a[4,3]-a[1,3]*a[2,1]*a[2,2]*a[3,3] *a[3,4]*a[4,1]-a[1,3]*a[2,1]*a[2,3]*a[3,1]*a[3,4]*a[4,2]+a[1,3]*a[2,1]*a[2,3]*a [3,2]*a[3,4]*a[4,1]+a[1,3]*a[2,1]*a[2,4]*a[3,2]*a[4,1]*a[4,4]+a[1,3]*a[2,1]*a[2 ,4]*a[3,4]*a[4,1]*a[4,2]-a[1,3]*a[2,1]*a[3,1]*a[3,4]*a[4,3]*a[4,4]+a[1,3]*a[2,1 ]*a[3,3]*a[3,4]*a[4,1]*a[4,4]-a[1,3]*a[2,4]^2*a[3,2]*a[4,1]^2+a[1,3]*a[2,4]*a[3 ,1]*a[3,4]*a[4,1]*a[4,3]-a[1,3]*a[2,4]*a[3,3]*a[3,4]*a[4,1]^2-a[1,4]^2*a[2,1]*a [3,1]*a[4,1]*a[4,3]+a[1,4]^2*a[2,3]*a[3,1]*a[4,1]^2-a[1,4]*a[2,1]^2*a[2,3]*a[3, 2]*a[4,2]+a[1,4]*a[2,1]^2*a[3,4]*a[4,2]*a[4,3]+a[1,4]*a[2,1]*a[2,2]*a[2,3]*a[3, 1]*a[4,2]+a[1,4]*a[2,1]*a[2,2]*a[2,3]*a[3,2]*a[4,1]-a[1,4]*a[2,1]*a[2,3]*a[3,1] *a[3,3]*a[4,2]+a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[3,3]*a[4,1]-a[1,4]*a[2,1]*a[2,3]*a [3,2]*a[4,1]*a[4,4]-a[1,4]*a[2,1]*a[2,3]*a[3,4]*a[4,1]*a[4,2]+a[1,4]*a[2,1]*a[3 ,1]*a[3,4]*a[4,3]^2-a[1,4]*a[2,1]*a[3,3]*a[3,4]*a[4,1]*a[4,3]-a[1,4]*a[2,2]^2*a [2,3]*a[3,1]*a[4,1]+a[1,4]*a[2,2]*a[2,3]*a[3,1]*a[4,1]*a[4,4]-a[1,4]*a[2,2]*a[2 ,4]*a[3,1]*a[4,1]*a[4,3]+a[1,4]*a[2,3]^2*a[3,1]^2*a[4,2]-a[1,4]*a[2,3]^2*a[3,1] *a[3,2]*a[4,1]+a[1,4]*a[2,3]*a[2,4]*a[3,2]*a[4,1]^2-a[1,4]*a[2,3]*a[3,1]*a[3,4] *a[4,1]*a[4,3]+a[1,4]*a[2,3]*a[3,3]*a[3,4]*a[4,1]^2-a[2,1]*a[2,2]*a[2,3]*a[3,2] *a[3,4]*a[4,3]+a[2,1]*a[2,2]*a[2,3]*a[3,3]*a[3,4]*a[4,2]+a[2,1]*a[2,3]*a[2,4]*a [3,2]^2*a[4,3]-a[2,1]*a[2,3]*a[2,4]*a[3,2]*a[3,3]*a[4,2]+a[2,1]*a[2,3]*a[3,2]*a [3,4]*a[4,3]*a[4,4]-a[2,1]*a[2,3]*a[3,3]*a[3,4]*a[4,2]*a[4,4]-a[2,1]*a[2,4]*a[3 ,2]*a[3,4]*a[4,3]^2+a[2,1]*a[2,4]*a[3,3]*a[3,4]*a[4,2]*a[4,3]+a[2,2]^2*a[2,3]*a [3,1]*a[3,4]*a[4,3]-a[2,2]^2*a[2,3]*a[3,3]*a[3,4]*a[4,1]-a[2,2]*a[2,3]^2*a[3,1] *a[3,4]*a[4,2]+a[2,2]*a[2,3]^2*a[3,2]*a[3,4]*a[4,1]-a[2,2]*a[2,3]*a[2,4]*a[3,1] *a[3,2]*a[4,3]+a[2,2]*a[2,3]*a[2,4]*a[3,2]*a[3,3]*a[4,1]-a[2,2]*a[2,3]*a[3,1]*a [3,4]*a[4,3]*a[4,4]+a[2,2]*a[2,3]*a[3,3]*a[3,4]*a[4,1]*a[4,4]+a[2,2]*a[2,4]*a[3 ,1]*a[3,4]*a[4,3]^2-a[2,2]*a[2,4]*a[3,3]*a[3,4]*a[4,1]*a[4,3]+a[2,3]^2*a[2,4]*a [3,1]*a[3,2]*a[4,2]-a[2,3]^2*a[2,4]*a[3,2]^2*a[4,1]+a[2,3]^2*a[3,1]*a[3,4]*a[4, 2]*a[4,4]-a[2,3]^2*a[3,2]*a[3,4]*a[4,1]*a[4,4]-a[2,3]*a[2,4]*a[3,1]*a[3,4]*a[4, 2]*a[4,3]+a[2,3]*a[2,4]*a[3,2]*a[3,4]*a[4,1]*a[4,3])*X[1,2]+(a[1,1]*a[1,2]*a[2, 1]*a[2,2]*a[3,4]*a[4,2]-a[1,1]*a[1,2]*a[2,1]*a[2,4]*a[3,2]*a[4,2]+a[1,1]*a[1,2] *a[2,1]*a[3,2]*a[3,4]*a[4,3]-a[1,1]*a[1,2]*a[2,1]*a[3,3]*a[3,4]*a[4,2]-a[1,1]*a [1,2]*a[2,2]^2*a[3,4]*a[4,1]+a[1,1]*a[1,2]*a[2,2]*a[2,4]*a[3,2]*a[4,1]+a[1,1]*a [1,2]*a[2,2]*a[3,3]*a[3,4]*a[4,1]+a[1,1]*a[1,2]*a[2,2]*a[3,4]*a[4,1]*a[4,4]+a[1 ,1]*a[1,2]*a[2,3]*a[3,1]*a[3,4]*a[4,2]-a[1,1]*a[1,2]*a[2,3]*a[3,2]*a[3,4]*a[4,1 ]-a[1,1]*a[1,2]*a[2,4]*a[3,1]*a[3,2]*a[4,3]-a[1,1]*a[1,2]*a[2,4]*a[3,2]*a[4,1]* a[4,4]-a[1,1]*a[1,2]*a[3,3]*a[3,4]*a[4,1]*a[4,4]+a[1,1]*a[1,2]*a[3,4]^2*a[4,1]* a[4,3]-a[1,1]*a[1,3]*a[2,2]*a[3,2]*a[3,4]*a[4,1]+a[1,1]*a[1,3]*a[2,4]*a[3,2]^2* a[4,1]+a[1,1]*a[1,3]*a[3,2]*a[3,4]*a[4,1]*a[4,4]-a[1,1]*a[1,3]*a[3,4]^2*a[4,1]* a[4,2]-a[1,1]*a[1,4]*a[2,2]*a[3,4]*a[4,1]*a[4,2]+a[1,1]*a[1,4]*a[2,4]*a[3,2]*a[ 4,1]*a[4,2]-a[1,1]*a[1,4]*a[3,2]*a[3,4]*a[4,1]*a[4,3]+a[1,1]*a[1,4]*a[3,3]*a[3, 4]*a[4,1]*a[4,2]-a[1,2]^2*a[2,1]^2*a[3,4]*a[4,2]+a[1,2]^2*a[2,1]*a[2,2]*a[3,4]* a[4,1]+a[1,2]^2*a[2,1]*a[2,4]*a[3,1]*a[4,2]-a[1,2]^2*a[2,1]*a[3,1]*a[3,4]*a[4,3 ]-a[1,2]^2*a[2,1]*a[3,4]*a[4,1]*a[4,4]-a[1,2]^2*a[2,2]*a[2,4]*a[3,1]*a[4,1]+a[1 ,2]^2*a[2,4]*a[3,1]^2*a[4,3]+a[1,2]^2*a[2,4]*a[3,1]*a[4,1]*a[4,4]+a[1,2]*a[1,3] *a[2,1]*a[3,2]*a[3,4]*a[4,1]-a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[3,2]*a[4,1]+a[1,2]*a [1,4]*a[2,1]^2*a[3,2]*a[4,2]-a[1,2]*a[1,4]*a[2,1]*a[2,2]*a[3,1]*a[4,2]-a[1,2]*a [1,4]*a[2,1]*a[2,2]*a[3,2]*a[4,1]+a[1,2]*a[1,4]*a[2,1]*a[3,1]*a[3,3]*a[4,2]+a[1 ,2]*a[1,4]*a[2,1]*a[3,2]*a[4,1]*a[4,4]+a[1,2]*a[1,4]*a[2,1]*a[3,4]*a[4,1]*a[4,2 ]+a[1,2]*a[1,4]*a[2,2]^2*a[3,1]*a[4,1]-a[1,2]*a[1,4]*a[2,2]*a[3,1]*a[3,3]*a[4,1 ]-a[1,2]*a[1,4]*a[2,2]*a[3,1]*a[4,1]*a[4,4]-a[1,2]*a[1,4]*a[2,3]*a[3,1]^2*a[4,2 ]+a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,1]-a[1,2]*a[1,4]*a[2,4]*a[3,1]*a[4,1]* a[4,2]+a[1,2]*a[1,4]*a[3,1]*a[3,3]*a[4,1]*a[4,4]-a[1,2]*a[1,4]*a[3,1]*a[3,4]*a[ 4,1]*a[4,3]+a[1,2]*a[2,1]*a[2,2]*a[3,2]*a[3,4]*a[4,3]-a[1,2]*a[2,1]*a[2,2]*a[3, 3]*a[3,4]*a[4,2]-a[1,2]*a[2,1]*a[2,4]*a[3,2]^2*a[4,3]+a[1,2]*a[2,1]*a[2,4]*a[3, 2]*a[3,3]*a[4,2]-a[1,2]*a[2,1]*a[3,2]*a[3,3]*a[3,4]*a[4,3]-a[1,2]*a[2,1]*a[3,2] *a[3,4]*a[4,3]*a[4,4]+a[1,2]*a[2,1]*a[3,3]^2*a[3,4]*a[4,2]+a[1,2]*a[2,1]*a[3,4] ^2*a[4,2]*a[4,3]-a[1,2]*a[2,2]^2*a[3,1]*a[3,4]*a[4,3]+a[1,2]*a[2,2]^2*a[3,3]*a[ 3,4]*a[4,1]+a[1,2]*a[2,2]*a[2,3]*a[3,1]*a[3,4]*a[4,2]-a[1,2]*a[2,2]*a[2,3]*a[3, 2]*a[3,4]*a[4,1]+a[1,2]*a[2,2]*a[2,4]*a[3,1]*a[3,2]*a[4,3]-a[1,2]*a[2,2]*a[2,4] *a[3,2]*a[3,3]*a[4,1]+a[1,2]*a[2,2]*a[3,1]*a[3,3]*a[3,4]*a[4,3]+a[1,2]*a[2,2]*a [3,1]*a[3,4]*a[4,3]*a[4,4]-a[1,2]*a[2,2]*a[3,3]^2*a[3,4]*a[4,1]-a[1,2]*a[2,2]*a [3,3]*a[3,4]*a[4,1]*a[4,4]-a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[3,2]*a[4,2]+a[1,2]*a[2 ,3]*a[2,4]*a[3,2]^2*a[4,1]-a[1,2]*a[2,3]*a[3,1]*a[3,3]*a[3,4]*a[4,2]-a[1,2]*a[2 ,3]*a[3,1]*a[3,4]*a[4,2]*a[4,4]+a[1,2]*a[2,3]*a[3,2]*a[3,3]*a[3,4]*a[4,1]+a[1,2 ]*a[2,3]*a[3,2]*a[3,4]*a[4,1]*a[4,4]+a[1,2]*a[2,4]*a[3,2]*a[3,3]*a[4,1]*a[4,4]- a[1,2]*a[2,4]*a[3,2]*a[3,4]*a[4,1]*a[4,3]-a[1,2]*a[3,1]*a[3,3]*a[3,4]*a[4,3]*a[ 4,4]+a[1,2]*a[3,1]*a[3,4]^2*a[4,3]^2+a[1,2]*a[3,3]^2*a[3,4]*a[4,1]*a[4,4]-a[1,2 ]*a[3,3]*a[3,4]^2*a[4,1]*a[4,3]-a[1,3]*a[1,4]*a[2,1]*a[3,2]^2*a[4,1]+a[1,3]*a[1 ,4]*a[2,2]*a[3,1]*a[3,2]*a[4,1]-a[1,3]*a[1,4]*a[3,1]*a[3,2]*a[4,1]*a[4,4]+a[1,3 ]*a[1,4]*a[3,1]*a[3,4]*a[4,1]*a[4,2]+a[1,3]*a[2,1]*a[3,2]^2*a[3,4]*a[4,3]-a[1,3 ]*a[2,1]*a[3,2]*a[3,3]*a[3,4]*a[4,2]+a[1,3]*a[2,1]*a[3,2]*a[3,4]*a[4,2]*a[4,4]- a[1,3]*a[2,1]*a[3,4]^2*a[4,2]^2-a[1,3]*a[2,2]*a[3,1]*a[3,2]*a[3,4]*a[4,3]+a[1,3 ]*a[2,2]*a[3,2]*a[3,3]*a[3,4]*a[4,1]+a[1,3]*a[2,3]*a[3,1]*a[3,2]*a[3,4]*a[4,2]- a[1,3]*a[2,3]*a[3,2]^2*a[3,4]*a[4,1]-a[1,3]*a[2,4]*a[3,2]^2*a[4,1]*a[4,4]+a[1,3 ]*a[2,4]*a[3,2]*a[3,4]*a[4,1]*a[4,2]+a[1,3]*a[3,1]*a[3,2]*a[3,4]*a[4,3]*a[4,4]- a[1,3]*a[3,1]*a[3,4]^2*a[4,2]*a[4,3]-a[1,3]*a[3,2]*a[3,3]*a[3,4]*a[4,1]*a[4,4]+ a[1,3]*a[3,3]*a[3,4]^2*a[4,1]*a[4,2]-a[1,4]^2*a[2,1]*a[3,2]*a[4,1]*a[4,2]+a[1,4 ]^2*a[2,2]*a[3,1]*a[4,1]*a[4,2]+a[1,4]^2*a[3,1]*a[3,2]*a[4,1]*a[4,3]-a[1,4]^2*a [3,1]*a[3,3]*a[4,1]*a[4,2]-a[1,4]*a[2,2]*a[3,1]*a[3,4]*a[4,2]*a[4,3]+a[1,4]*a[2 ,2]*a[3,3]*a[3,4]*a[4,1]*a[4,2]+a[1,4]*a[2,3]*a[3,1]*a[3,4]*a[4,2]^2-a[1,4]*a[2 ,3]*a[3,2]*a[3,4]*a[4,1]*a[4,2]+a[1,4]*a[2,4]*a[3,2]^2*a[4,1]*a[4,3]-a[1,4]*a[2 ,4]*a[3,2]*a[3,3]*a[4,1]*a[4,2]-a[1,4]*a[3,1]*a[3,2]*a[3,4]*a[4,3]^2+a[1,4]*a[3 ,1]*a[3,3]*a[3,4]*a[4,2]*a[4,3]+a[1,4]*a[3,2]*a[3,3]*a[3,4]*a[4,1]*a[4,3]-a[1,4 ]*a[3,3]^2*a[3,4]*a[4,1]*a[4,2])*X[2,3]+(-a[1,1]*a[1,2]*a[2,1]*a[2,3]*a[3,2]*a[ 4,3]+a[1,1]*a[1,2]*a[2,1]*a[2,3]*a[3,3]*a[4,2]-a[1,1]*a[1,2]*a[2,1]*a[2,3]*a[4, 2]*a[4,4]+a[1,1]*a[1,2]*a[2,1]*a[2,4]*a[4,2]*a[4,3]+a[1,1]*a[1,2]*a[2,2]*a[2,3] *a[3,1]*a[4,3]-a[1,1]*a[1,2]*a[2,2]*a[2,3]*a[3,3]*a[4,1]+a[1,1]*a[1,2]*a[2,2]*a [2,3]*a[4,1]*a[4,4]-a[1,1]*a[1,2]*a[2,2]*a[2,4]*a[4,1]*a[4,3]-a[1,1]*a[1,2]*a[2 ,3]^2*a[3,1]*a[4,2]+a[1,1]*a[1,2]*a[2,3]^2*a[3,2]*a[4,1]-a[1,1]*a[1,2]*a[2,3]*a [3,1]*a[4,3]*a[4,4]+a[1,1]*a[1,2]*a[2,3]*a[3,3]*a[4,1]*a[4,4]-a[1,1]*a[1,2]*a[2 ,3]*a[3,4]*a[4,1]*a[4,3]-a[1,1]*a[1,2]*a[2,3]*a[4,1]*a[4,4]^2+a[1,1]*a[1,2]*a[2 ,4]*a[3,1]*a[4,3]^2+a[1,1]*a[1,2]*a[2,4]*a[4,1]*a[4,3]*a[4,4]+a[1,1]*a[1,3]*a[2 ,3]*a[3,4]*a[4,1]*a[4,2]-a[1,1]*a[1,3]*a[2,4]*a[3,2]*a[4,1]*a[4,3]+a[1,1]*a[1,4 ]*a[2,3]*a[3,2]*a[4,1]*a[4,3]-a[1,1]*a[1,4]*a[2,3]*a[3,3]*a[4,1]*a[4,2]+a[1,1]* a[1,4]*a[2,3]*a[4,1]*a[4,2]*a[4,4]-a[1,1]*a[1,4]*a[2,4]*a[4,1]*a[4,2]*a[4,3]+a[ 1,2]*a[1,3]*a[2,1]^2*a[3,2]*a[4,3]-a[1,2]*a[1,3]*a[2,1]^2*a[3,3]*a[4,2]+a[1,2]* a[1,3]*a[2,1]^2*a[4,2]*a[4,4]-a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[3,1]*a[4,3]+a[1,2]* a[1,3]*a[2,1]*a[2,2]*a[3,3]*a[4,1]-a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[4,1]*a[4,4]+a[ 1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,1]*a[4,2]-a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,2]*a[4, 1]-a[1,2]*a[1,3]*a[2,1]*a[2,4]*a[4,1]*a[4,2]+a[1,2]*a[1,3]*a[2,1]*a[3,1]*a[4,3] *a[4,4]-a[1,2]*a[1,3]*a[2,1]*a[3,3]*a[4,1]*a[4,4]+a[1,2]*a[1,3]*a[2,1]*a[3,4]*a [4,1]*a[4,3]+a[1,2]*a[1,3]*a[2,1]*a[4,1]*a[4,4]^2+a[1,2]*a[1,3]*a[2,2]*a[2,4]*a [4,1]^2-a[1,2]*a[1,3]*a[2,4]*a[3,1]*a[4,1]*a[4,3]-a[1,2]*a[1,3]*a[2,4]*a[4,1]^2 *a[4,4]-a[1,2]*a[1,4]*a[2,1]^2*a[4,2]*a[4,3]+a[1,2]*a[1,4]*a[2,1]*a[2,2]*a[4,1] *a[4,3]+a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[4,1]*a[4,2]-a[1,2]*a[1,4]*a[2,1]*a[3,1]*a [4,3]^2-a[1,2]*a[1,4]*a[2,1]*a[4,1]*a[4,3]*a[4,4]-a[1,2]*a[1,4]*a[2,2]*a[2,3]*a [4,1]^2+a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[4,1]*a[4,3]+a[1,2]*a[1,4]*a[2,3]*a[4,1]^2 *a[4,4]+a[1,2]*a[2,1]*a[2,3]*a[3,2]*a[3,3]*a[4,3]-a[1,2]*a[2,1]*a[2,3]*a[3,3]^2 *a[4,2]+a[1,2]*a[2,1]*a[2,3]*a[3,3]*a[4,2]*a[4,4]-a[1,2]*a[2,1]*a[2,3]*a[3,4]*a [4,2]*a[4,3]+a[1,2]*a[2,1]*a[2,4]*a[3,2]*a[4,3]^2-a[1,2]*a[2,1]*a[2,4]*a[3,3]*a [4,2]*a[4,3]-a[1,2]*a[2,2]*a[2,3]*a[3,1]*a[3,3]*a[4,3]+a[1,2]*a[2,2]*a[2,3]*a[3 ,3]^2*a[4,1]-a[1,2]*a[2,2]*a[2,3]*a[3,3]*a[4,1]*a[4,4]+a[1,2]*a[2,2]*a[2,3]*a[3 ,4]*a[4,1]*a[4,3]-a[1,2]*a[2,2]*a[2,4]*a[3,1]*a[4,3]^2+a[1,2]*a[2,2]*a[2,4]*a[3 ,3]*a[4,1]*a[4,3]+a[1,2]*a[2,3]^2*a[3,1]*a[3,3]*a[4,2]-a[1,2]*a[2,3]^2*a[3,2]*a [3,3]*a[4,1]+a[1,2]*a[2,3]*a[2,4]*a[3,1]*a[4,2]*a[4,3]-a[1,2]*a[2,3]*a[2,4]*a[3 ,2]*a[4,1]*a[4,3]+a[1,2]*a[2,3]*a[3,1]*a[3,3]*a[4,3]*a[4,4]-a[1,2]*a[2,3]*a[3,1 ]*a[3,4]*a[4,3]^2-a[1,2]*a[2,3]*a[3,3]^2*a[4,1]*a[4,4]+a[1,2]*a[2,3]*a[3,3]*a[3 ,4]*a[4,1]*a[4,3]+a[1,2]*a[2,3]*a[3,3]*a[4,1]*a[4,4]^2-a[1,2]*a[2,3]*a[3,4]*a[4 ,1]*a[4,3]*a[4,4]-a[1,2]*a[2,4]*a[3,3]*a[4,1]*a[4,3]*a[4,4]+a[1,2]*a[2,4]*a[3,4 ]*a[4,1]*a[4,3]^2-a[1,3]^2*a[2,1]*a[3,4]*a[4,1]*a[4,2]+a[1,3]^2*a[2,4]*a[3,2]*a [4,1]^2+a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[4,1]*a[4,2]-a[1,3]*a[1,4]*a[2,1]*a[4,1]*a [4,2]*a[4,4]-a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[4,1]^2+a[1,3]*a[1,4]*a[2,4]*a[4,1]^2 *a[4,2]-a[1,3]*a[2,1]*a[2,3]*a[3,2]^2*a[4,3]+a[1,3]*a[2,1]*a[2,3]*a[3,2]*a[3,3] *a[4,2]-a[1,3]*a[2,1]*a[2,3]*a[3,2]*a[4,2]*a[4,4]+a[1,3]*a[2,1]*a[2,3]*a[3,4]*a [4,2]^2+a[1,3]*a[2,2]*a[2,3]*a[3,1]*a[3,2]*a[4,3]-a[1,3]*a[2,2]*a[2,3]*a[3,2]*a [3,3]*a[4,1]+a[1,3]*a[2,2]*a[2,3]*a[3,2]*a[4,1]*a[4,4]-a[1,3]*a[2,2]*a[2,3]*a[3 ,4]*a[4,1]*a[4,2]-a[1,3]*a[2,3]^2*a[3,1]*a[3,2]*a[4,2]+a[1,3]*a[2,3]^2*a[3,2]^2 *a[4,1]-a[1,3]*a[2,3]*a[3,1]*a[3,2]*a[4,3]*a[4,4]+a[1,3]*a[2,3]*a[3,1]*a[3,4]*a [4,2]*a[4,3]+a[1,3]*a[2,3]*a[3,2]*a[3,3]*a[4,1]*a[4,4]-a[1,3]*a[2,3]*a[3,2]*a[4 ,1]*a[4,4]^2-a[1,3]*a[2,3]*a[3,3]*a[3,4]*a[4,1]*a[4,2]+a[1,3]*a[2,3]*a[3,4]*a[4 ,1]*a[4,2]*a[4,4]+a[1,3]*a[2,4]*a[3,2]*a[4,1]*a[4,3]*a[4,4]-a[1,3]*a[2,4]*a[3,4 ]*a[4,1]*a[4,2]*a[4,3]+a[1,4]^2*a[2,1]*a[4,1]*a[4,2]*a[4,3]-a[1,4]^2*a[2,3]*a[4 ,1]^2*a[4,2]+a[1,4]*a[2,2]*a[2,3]*a[3,1]*a[4,2]*a[4,3]-a[1,4]*a[2,2]*a[2,3]*a[3 ,2]*a[4,1]*a[4,3]-a[1,4]*a[2,3]^2*a[3,1]*a[4,2]^2+a[1,4]*a[2,3]^2*a[3,2]*a[4,1] *a[4,2]+a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,3]^2-a[1,4]*a[2,3]*a[3,1]*a[3,3]*a[4,2] *a[4,3]-a[1,4]*a[2,3]*a[3,2]*a[3,3]*a[4,1]*a[4,3]+a[1,4]*a[2,3]*a[3,2]*a[4,1]*a [4,3]*a[4,4]+a[1,4]*a[2,3]*a[3,3]^2*a[4,1]*a[4,2]-a[1,4]*a[2,3]*a[3,3]*a[4,1]*a [4,2]*a[4,4]-a[1,4]*a[2,4]*a[3,2]*a[4,1]*a[4,3]^2+a[1,4]*a[2,4]*a[3,3]*a[4,1]*a [4,2]*a[4,3])*X[3,4]+X[4,1]*(a[1,1]^2*a[1,2]*a[2,2]*a[2,3]*a[3,4]-a[1,1]^2*a[1, 2]*a[2,3]*a[2,4]*a[3,2]-a[1,1]^2*a[1,2]*a[2,3]*a[3,4]*a[4,4]+a[1,1]^2*a[1,2]*a[ 2,4]*a[3,4]*a[4,3]-a[1,1]*a[1,2]^2*a[2,1]*a[2,3]*a[3,4]+a[1,1]*a[1,2]^2*a[2,3]* a[2,4]*a[3,1]-a[1,1]*a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[3,4]+a[1,1]*a[1,2]*a[1,3]*a[ 2,1]*a[2,4]*a[3,2]+a[1,1]*a[1,2]*a[1,3]*a[2,1]*a[3,4]*a[4,4]-a[1,1]*a[1,2]*a[1, 3]*a[2,4]*a[3,4]*a[4,1]+a[1,1]*a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,2]-a[1,1]*a[1,2] *a[1,4]*a[2,1]*a[3,4]*a[4,3]-a[1,1]*a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,1]+a[1,1]*a [1,2]*a[1,4]*a[2,3]*a[3,1]*a[4,4]+a[1,1]*a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4,1]-a[1 ,1]*a[1,2]*a[1,4]*a[2,4]*a[3,1]*a[4,3]-a[1,1]*a[1,2]*a[2,2]*a[2,3]*a[3,3]*a[3,4 ]-a[1,1]*a[1,2]*a[2,2]*a[2,3]*a[3,4]*a[4,4]+a[1,1]*a[1,2]*a[2,3]*a[2,4]*a[3,2]* a[3,3]+a[1,1]*a[1,2]*a[2,3]*a[2,4]*a[3,2]*a[4,4]+a[1,1]*a[1,2]*a[2,3]*a[3,3]*a[ 3,4]*a[4,4]+a[1,1]*a[1,2]*a[2,3]*a[3,4]*a[4,4]^2-a[1,1]*a[1,2]*a[2,4]*a[3,3]*a[ 3,4]*a[4,3]-a[1,1]*a[1,2]*a[2,4]*a[3,4]*a[4,3]*a[4,4]+a[1,1]*a[1,3]*a[2,2]*a[2, 3]*a[3,2]*a[3,4]-a[1,1]*a[1,3]*a[2,3]*a[2,4]*a[3,2]^2-a[1,1]*a[1,3]*a[2,3]*a[3, 2]*a[3,4]*a[4,4]+a[1,1]*a[1,3]*a[2,4]*a[3,2]*a[3,4]*a[4,3]+a[1,1]*a[1,4]*a[2,2] *a[2,3]*a[3,4]*a[4,2]-a[1,1]*a[1,4]*a[2,3]*a[2,4]*a[3,2]*a[4,2]-a[1,1]*a[1,4]*a [2,3]*a[3,4]*a[4,2]*a[4,4]+a[1,1]*a[1,4]*a[2,4]*a[3,4]*a[4,2]*a[4,3]+a[1,2]^2*a [1,3]*a[2,1]^2*a[3,4]-a[1,2]^2*a[1,3]*a[2,1]*a[2,4]*a[3,1]+a[1,2]^2*a[2,1]*a[2, 3]*a[3,3]*a[3,4]+a[1,2]^2*a[2,1]*a[2,4]*a[3,4]*a[4,3]-a[1,2]^2*a[2,3]*a[2,4]*a[ 3,1]*a[3,3]-a[1,2]^2*a[2,4]^2*a[3,1]*a[4,3]-a[1,2]*a[1,3]*a[1,4]*a[2,1]^2*a[3,2 ]+a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[2,2]*a[3,1]-a[1,2]*a[1,3]*a[1,4]*a[2,1]*a[3,1]* a[4,4]+a[1,2]*a[1,3]*a[1,4]*a[2,4]*a[3,1]*a[4,1]+a[1,2]*a[1,3]*a[2,1]*a[2,2]*a[ 3,4]*a[4,4]-a[1,2]*a[1,3]*a[2,1]*a[2,3]*a[3,2]*a[3,4]-a[1,2]*a[1,3]*a[2,1]*a[2, 4]*a[3,2]*a[4,4]-a[1,2]*a[1,3]*a[2,1]*a[3,4]^2*a[4,3]-a[1,2]*a[1,3]*a[2,1]*a[3, 4]*a[4,4]^2-a[1,2]*a[1,3]*a[2,2]*a[2,4]*a[3,4]*a[4,1]+a[1,2]*a[1,3]*a[2,3]*a[2, 4]*a[3,1]*a[3,2]+a[1,2]*a[1,3]*a[2,4]^2*a[3,2]*a[4,1]+a[1,2]*a[1,3]*a[2,4]*a[3, 3]*a[3,4]*a[4,1]+a[1,2]*a[1,3]*a[2,4]*a[3,4]*a[4,1]*a[4,4]+a[1,2]*a[1,4]^2*a[2, 1]*a[3,1]*a[4,3]-a[1,2]*a[1,4]^2*a[2,3]*a[3,1]*a[4,1]-a[1,2]*a[1,4]*a[2,1]*a[2, 2]*a[3,4]*a[4,3]-a[1,2]*a[1,4]*a[2,1]*a[2,3]*a[3,2]*a[3,3]-a[1,2]*a[1,4]*a[2,1] *a[2,3]*a[3,4]*a[4,2]+a[1,2]*a[1,4]*a[2,1]*a[3,3]*a[3,4]*a[4,3]+a[1,2]*a[1,4]*a [2,1]*a[3,4]*a[4,3]*a[4,4]+a[1,2]*a[1,4]*a[2,2]*a[2,3]*a[3,1]*a[3,3]+a[1,2]*a[1 ,4]*a[2,2]*a[2,3]*a[3,4]*a[4,1]+a[1,2]*a[1,4]*a[2,2]*a[2,4]*a[3,1]*a[4,3]+a[1,2 ]*a[1,4]*a[2,3]*a[2,4]*a[3,1]*a[4,2]-a[1,2]*a[1,4]*a[2,3]*a[2,4]*a[3,2]*a[4,1]- a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[3,3]*a[4,4]+a[1,2]*a[1,4]*a[2,3]*a[3,1]*a[3,4]*a[ 4,3]-a[1,2]*a[1,4]*a[2,3]*a[3,3]*a[3,4]*a[4,1]-a[1,2]*a[1,4]*a[2,3]*a[3,4]*a[4, 1]*a[4,4]+a[1,2]*a[2,2]*a[2,3]*a[3,3]*a[3,4]*a[4,4]-a[1,2]*a[2,2]*a[2,3]*a[3,4] ^2*a[4,3]-a[1,2]*a[2,3]*a[2,4]*a[3,2]*a[3,3]*a[4,4]+a[1,2]*a[2,3]*a[2,4]*a[3,2] *a[3,4]*a[4,3]-a[1,2]*a[2,3]*a[3,3]*a[3,4]*a[4,4]^2+a[1,2]*a[2,3]*a[3,4]^2*a[4, 3]*a[4,4]+a[1,2]*a[2,4]*a[3,3]*a[3,4]*a[4,3]*a[4,4]-a[1,2]*a[2,4]*a[3,4]^2*a[4, 3]^2+a[1,3]^2*a[2,1]*a[3,4]^2*a[4,2]-a[1,3]^2*a[2,4]*a[3,2]*a[3,4]*a[4,1]+a[1,3 ]*a[1,4]*a[2,1]*a[2,3]*a[3,2]^2-a[1,3]*a[1,4]*a[2,1]*a[3,3]*a[3,4]*a[4,2]+a[1,3 ]*a[1,4]*a[2,1]*a[3,4]*a[4,2]*a[4,4]-a[1,3]*a[1,4]*a[2,2]*a[2,3]*a[3,1]*a[3,2]+ a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,2]*a[4,4]-a[1,3]*a[1,4]*a[2,3]*a[3,1]*a[3,4]*a[ 4,2]+a[1,3]*a[1,4]*a[2,3]*a[3,2]*a[3,4]*a[4,1]-a[1,3]*a[1,4]*a[2,4]*a[3,4]*a[4, 1]*a[4,2]-a[1,3]*a[2,2]*a[2,3]*a[3,2]*a[3,4]*a[4,4]+a[1,3]*a[2,2]*a[2,3]*a[3,4] ^2*a[4,2]+a[1,3]*a[2,3]*a[2,4]*a[3,2]^2*a[4,4]-a[1,3]*a[2,3]*a[2,4]*a[3,2]*a[3, 4]*a[4,2]+a[1,3]*a[2,3]*a[3,2]*a[3,4]*a[4,4]^2-a[1,3]*a[2,3]*a[3,4]^2*a[4,2]*a[ 4,4]-a[1,3]*a[2,4]*a[3,2]*a[3,4]*a[4,3]*a[4,4]+a[1,3]*a[2,4]*a[3,4]^2*a[4,2]*a[ 4,3]+a[1,4]^2*a[2,1]*a[2,3]*a[3,2]*a[4,2]-a[1,4]^2*a[2,1]*a[3,4]*a[4,2]*a[4,3]- a[1,4]^2*a[2,2]*a[2,3]*a[3,1]*a[4,2]-a[1,4]^2*a[2,3]*a[3,1]*a[3,2]*a[4,3]+a[1,4 ]^2*a[2,3]*a[3,1]*a[3,3]*a[4,2]+a[1,4]^2*a[2,3]*a[3,4]*a[4,1]*a[4,2]+a[1,4]*a[2 ,2]*a[2,3]*a[3,2]*a[3,4]*a[4,3]-a[1,4]*a[2,2]*a[2,3]*a[3,3]*a[3,4]*a[4,2]-a[1,4 ]*a[2,3]*a[2,4]*a[3,2]^2*a[4,3]+a[1,4]*a[2,3]*a[2,4]*a[3,2]*a[3,3]*a[4,2]-a[1,4 ]*a[2,3]*a[3,2]*a[3,4]*a[4,3]*a[4,4]+a[1,4]*a[2,3]*a[3,3]*a[3,4]*a[4,2]*a[4,4]+ a[1,4]*a[2,4]*a[3,2]*a[3,4]*a[4,3]^2-a[1,4]*a[2,4]*a[3,3]*a[3,4]*a[4,2]*a[4,3]) = 0 --------------------------- This ends this paper that took, 52.863, seconds to produce.