All the Coefficients whose "distance" from the constant term is at most, 3, in the q-Dyson product with , 5, variables By Shalosh B. Ekhad In this article we follow the brilliant method of Gyula Karolyi and Zoltan Lorant Nagy given in arXiv:1211.6484v1, to find (proved!) explicit expressions for all coefficients in the q-Dyson proudct F:= 5 ------------' ' | | | | | | | | | | | | i = 1 / 5 / a[i] - 1 \ / a[j] \\ | --------' | --------' / t \| | --------' / t \|| |' | | |' | | | q x[i]|| |' | | | q x[j]||| | | | | | | |1 - -------|| | | | |1 - -------||| | | | | | | \ x[j] /| | | | \ x[i] /|| | | | | | | | | | | || \j = i + 1 \ t = 0 / \ t = 1 // of monomials whose sum of positive powers is between 1 and, 3 Definition: Let Q(n) be the q-analog of n!: n --------' ' | | i Q(n) = | | (1 - q ) | | | | i = 1 Theorem: The coefficients of the various coefficients in the q-Dyson product F, given above divided by the q-multinomial coefficients Q(a[1] + a[2] + a[3] + a[4] + a[5]) --------------------------------------- Q(a[1]) Q(a[2]) Q(a[3]) Q(a[4]) Q(a[5]) are as follows where, for i from 1 to , 5, we abbreviate: a[i] z[i] = q ------------------------------------------------------ When the sum of the positive exponents is, 1 there are, 1, possibe monomials: {[1, -1, 0, 0, 0]} x[1] For the coeff., ---- x[2] we have: -1 + z[1] - ------------------------- q z[2] z[3] z[4] z[5] - 1 and in Maple input notation: -(-1+z[1])/(q*z[2]*z[3]*z[4]*z[5]-1) ------------------------------------------------------ When the sum of the positive exponents is, 2 there are, 4, possibe monomials: {[1, 1, -2, 0, 0], [1, 1, -1, -1, 0], [2, -2, 0, 0, 0], [2, -1, -1, 0, 0]} x[1] x[2] For the coeff., --------- 2 x[3] we have: (z[2] - 1) (-1 + z[1]) (q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] - z[2] - 1)/( (q z[3] z[4] z[5] - 1) (q z[2] z[3] z[4] z[5] - 1) (q z[1] z[3] z[4] z[5] - 1)) and in Maple input notation: (z[2]-1)*(-1+z[1])*(q*z[1]*z[2]*z[3]*z[4]*z[5]+q*z[2]*z[3]*z[4]*z[5]-z[2]-1)/(q *z[3]*z[4]*z[5]-1)/(q*z[2]*z[3]*z[4]*z[5]-1)/(q*z[1]*z[3]*z[4]*z[5]-1) x[1] x[2] For the coeff., --------- x[3] x[4] we have: z[3] (z[2] - 1) (-1 + z[1]) (q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] - z[2] - 1)/( (q z[3] z[4] z[5] - 1) (q z[2] z[3] z[4] z[5] - 1) (q z[1] z[3] z[4] z[5] - 1)) and in Maple input notation: z[3]*(z[2]-1)*(-1+z[1])*(q*z[1]*z[2]*z[3]*z[4]*z[5]+q*z[2]*z[3]*z[4]*z[5]-z[2]-\ 1)/(q*z[3]*z[4]*z[5]-1)/(q*z[2]*z[3]*z[4]*z[5]-1)/(q*z[1]*z[3]*z[4]*z[5]-1) 2 x[1] For the coeff., ----- 2 x[2] we have: 4 3 4 3 3 - (-1 + z[1]) (q z[1] z[2] z[3] z[4] z[5] 4 3 3 3 3 4 3 2 4 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 3 2 3 3 4 3 2 2 4 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 3 2 2 3 3 2 3 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 3 2 3 4 3 2 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 3 3 2 2 2 3 2 2 2 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 3 2 2 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 2 3 3 2 3 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 3 2 2 2 3 2 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 2 2 2 3 2 3 2 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 3 2 2 2 3 2 3 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 2 2 2 2 3 2 2 + q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 3 2 2 2 2 2 - q z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 2 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 2 2 2 2 2 2 + q z[2] z[4] z[5] - q z[2] z[3] z[4] z[5] + q z[2] z[3] z[5] 2 + q z[2] z[3] z[4] - q z[1] z[2] z[3] z[4] - q z[1] z[2] z[3] z[5] / - q z[1] z[2] z[4] z[5] - q z[3] z[4] z[5] + z[1]) / ( / (q z[2] z[3] z[4] - 1) (q z[2] z[3] z[5] - 1) (q z[2] z[4] z[5] - 1) 2 (q z[2] z[3] z[4] z[5] - 1) (q z[2] z[3] z[4] z[5] - 1)) and in Maple input notation: -(-1+z[1])*(q^4*z[1]*z[2]^3*z[3]^4*z[4]^3*z[5]^3-q^4*z[1]*z[2]^3*z[3]^3*z[4]^3* z[5]^3+q^4*z[1]*z[2]^3*z[3]^2*z[4]^4*z[5]^3-q^4*z[1]*z[2]^3*z[3]^2*z[4]^3*z[5]^ 3+q^4*z[1]*z[2]^3*z[3]^2*z[4]^2*z[5]^4-q^4*z[1]*z[2]^3*z[3]^2*z[4]^2*z[5]^3-q^3 *z[1]*z[2]^2*z[3]^3*z[4]^3*z[5]^2-q^3*z[1]*z[2]^2*z[3]^3*z[4]^2*z[5]^3+q^4*z[2] ^3*z[3]^2*z[4]^2*z[5]^2-q^3*z[1]*z[2]^3*z[3]^2*z[4]^2*z[5]^2+q^3*z[1]*z[2]^2*z[ 3]^2*z[4]^2*z[5]^3-q^3*z[1]*z[2]^2*z[3]*z[4]^3*z[5]^3+q^3*z[1]*z[2]^2*z[3]^2*z[ 4]^2*z[5]^2-q^3*z[1]*z[2]^2*z[3]^2*z[4]*z[5]^3-q^3*z[2]^2*z[3]^3*z[4]^2*z[5]^2+ q^3*z[1]*z[2]^2*z[3]^2*z[4]*z[5]^2+q^3*z[1]*z[2]^2*z[3]*z[4]^2*z[5]^2+q^3*z[2]^ 2*z[3]^2*z[4]^2*z[5]^2-q^3*z[2]^2*z[3]*z[4]^3*z[5]^2+q^3*z[2]^2*z[3]*z[4]^2*z[5 ]^2-q^3*z[2]^2*z[3]*z[4]*z[5]^3+q^2*z[1]*z[2]*z[3]^2*z[4]^2*z[5]^2-q^3*z[2]^2*z [3]^2*z[4]*z[5]-q^3*z[2]^2*z[3]*z[4]^2*z[5]+q^2*z[1]*z[2]^2*z[3]^2*z[4]*z[5]+q^ 2*z[1]*z[2]^2*z[3]*z[4]^2*z[5]+q^2*z[1]*z[2]^2*z[3]*z[4]*z[5]^2+q^2*z[2]*z[3]^2 *z[4]^2*z[5]+q^2*z[2]*z[3]^2*z[4]*z[5]^2-q^2*z[1]*z[2]*z[3]*z[4]*z[5]-q^2*z[2]* z[3]*z[4]*z[5]^2+q^2*z[2]*z[4]^2*z[5]^2-q^2*z[2]*z[3]*z[4]*z[5]+q^2*z[2]*z[3]*z [5]^2+q^2*z[2]*z[3]*z[4]-q*z[1]*z[2]*z[3]*z[4]-q*z[1]*z[2]*z[3]*z[5]-q*z[1]*z[2 ]*z[4]*z[5]-q*z[3]*z[4]*z[5]+z[1])/(q*z[2]*z[3]*z[4]-1)/(q*z[2]*z[3]*z[5]-1)/(q *z[2]*z[4]*z[5]-1)/(q^2*z[2]*z[3]*z[4]*z[5]-1)/(q*z[2]*z[3]*z[4]*z[5]-1) 2 x[1] For the coeff., --------- x[2] x[3] we have: 3 3 3 2 2 3 3 2 3 2 (q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 3 2 2 2 3 3 2 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 3 2 2 3 3 2 + q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 2 3 2 2 2 2 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 2 2 2 2 2 2 2 2 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] + q z[2] z[3] z[5] 2 2 2 2 + q z[2] z[3] z[4] - q z[1] z[2] z[3] z[4] - q z[1] z[2] z[3] z[5] + q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] + q z[2] z[3] z[5] / - q z[2] z[4] z[5] + z[1] z[2] - 1) (-1 + z[1]) / ( / 2 (q z[2] z[3] z[5] - 1) (q z[2] z[3] z[4] - 1) (q z[2] z[3] z[4] z[5] - 1) (q z[2] z[3] z[4] z[5] - 1)) and in Maple input notation: (q^3*z[1]*z[2]^3*z[3]^3*z[4]^2*z[5]^2-q^3*z[1]*z[2]^3*z[3]^2*z[4]^3*z[5]^2+q^3* z[1]*z[2]^3*z[3]^2*z[4]^2*z[5]^2-q^3*z[1]*z[2]^3*z[3]^2*z[4]*z[5]^3+q^3*z[1]*z[ 2]^3*z[3]^2*z[4]*z[5]^2-q^3*z[2]^3*z[3]^2*z[4]*z[5]+q^2*z[1]*z[2]^3*z[3]^2*z[4] *z[5]-q^2*z[1]*z[2]^2*z[3]^2*z[4]^2*z[5]-q^2*z[1]*z[2]^2*z[3]^2*z[4]*z[5]^2+q^2 *z[1]*z[2]^2*z[3]*z[4]^2*z[5]^2-q^2*z[1]*z[2]^2*z[3]*z[4]*z[5]-q^2*z[2]^2*z[3]^ 2*z[4]*z[5]+q^2*z[2]^2*z[3]*z[4]^2*z[5]-q^2*z[2]^2*z[3]*z[4]*z[5]+q^2*z[2]^2*z[ 3]*z[5]^2+q^2*z[2]^2*z[3]*z[4]-q*z[1]*z[2]^2*z[3]*z[4]-q*z[1]*z[2]^2*z[3]*z[5]+ q*z[1]*z[2]*z[3]*z[4]*z[5]+q*z[2]*z[3]*z[4]+q*z[2]*z[3]*z[5]-q*z[2]*z[4]*z[5]+z [1]*z[2]-1)*(-1+z[1])/(q*z[2]*z[3]*z[5]-1)/(q*z[2]*z[3]*z[4]-1)/(q^2*z[2]*z[3]* z[4]*z[5]-1)/(q*z[2]*z[3]*z[4]*z[5]-1) ------------------------------------------------------ When the sum of the positive exponents is, 3 there are, 8, possibe monomials: {[1, 1, 1, -3, 0], [1, 1, 1, -1, -2], [1, 2, -3, 0, 0], [1, 2, -1, -2, 0], [1, 2, -1, -1, -1], [3, -3, 0, 0, 0], [3, -1, -2, 0, 0], [3, -1, -1, -1, 0] } x[1] x[2] x[3] For the coeff., -------------- 3 x[4] we have: 4 3 3 3 4 4 - (-1 + z[3]) (z[2] - 1) (-1 + z[1]) (q z[1] z[2] z[3] z[4] z[5] 4 3 2 3 4 4 4 2 3 3 4 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 2 3 4 4 4 3 3 4 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 4 4 3 3 2 3 3 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 3 3 3 3 2 2 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 3 2 3 3 3 2 2 3 3 3 - q z[1] z[2] z[3] z[4] z[5] - 3 q z[1] z[2] z[3] z[4] z[5] 3 3 3 3 3 3 2 2 2 3 3 - q z[1] z[2] z[3] z[4] z[5] - 3 q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 3 3 3 2 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 3 3 2 2 3 3 - 3 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 2 3 3 3 3 3 3 - 3 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 3 3 2 3 3 - q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 2 3 3 2 2 2 3 2 2 - q z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 2 2 3 2 2 + 2 q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 2 3 2 2 2 2 2 3 2 2 + q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 2 2 2 2 + q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 3 2 2 + 5 q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 2 2 3 2 2 2 2 2 2 + q z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 2 2 + 2 q z[1] z[2] z[3] z[4] z[5] + 5 q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 3 2 2 + 2 q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 2 2 2 2 2 2 2 + 2 q z[1] z[2] z[3] z[4] z[5] + q z[1] z[3] z[4] z[5] 2 2 2 2 2 2 2 2 + q z[2] z[3] z[4] z[5] + 2 q z[2] z[3] z[4] z[5] 2 2 2 2 2 + q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 2 2 2 - 3 q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 3 - q z[2] z[3] z[4] z[5] - 3 q z[1] z[2] z[3] z[4] z[5] 2 2 - q z[1] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 2 - 3 q z[2] z[3] z[4] z[5] - q z[1] z[2] z[4] z[5] - q z[1] z[3] z[4] z[5] 2 - 3 q z[2] z[3] z[4] z[5] - q z[3] z[4] z[5] - q z[2] z[4] z[5] 2 2 - q z[3] z[4] z[5] + z[2] z[3] + z[2] z[3] + z[3] + z[2] + z[3] + 1)/( (q z[4] z[5] - 1) (q z[3] z[4] z[5] - 1) (q z[2] z[3] z[4] z[5] - 1) (q z[2] z[4] z[5] - 1) (q z[1] z[2] z[4] z[5] - 1) (q z[1] z[4] z[5] - 1) (q z[1] z[3] z[4] z[5] - 1)) and in Maple input notation: -(-1+z[3])*(z[2]-1)*(-1+z[1])*(q^4*z[1]^3*z[2]^3*z[3]^3*z[4]^4*z[5]^4+q^4*z[1]^ 3*z[2]^2*z[3]^3*z[4]^4*z[5]^4+q^4*z[1]^2*z[2]^3*z[3]^3*z[4]^4*z[5]^4+q^4*z[1]^2 *z[2]^2*z[3]^3*z[4]^4*z[5]^4+q^4*z[1]*z[2]^3*z[3]^3*z[4]^4*z[5]^4+q^4*z[1]*z[2] ^2*z[3]^3*z[4]^4*z[5]^4-q^3*z[1]^3*z[2]^2*z[3]^3*z[4]^3*z[5]^3-q^3*z[1]^2*z[2]^ 3*z[3]^3*z[4]^3*z[5]^3-q^3*z[1]^3*z[2]^2*z[3]^2*z[4]^3*z[5]^3-q^3*z[1]^2*z[2]^3 *z[3]^2*z[4]^3*z[5]^3-3*q^3*z[1]^2*z[2]^2*z[3]^3*z[4]^3*z[5]^3-q^3*z[1]*z[2]^3* z[3]^3*z[4]^3*z[5]^3-3*q^3*z[1]^2*z[2]^2*z[3]^2*z[4]^3*z[5]^3-q^3*z[1]^2*z[2]*z [3]^3*z[4]^3*z[5]^3-q^3*z[1]*z[2]^3*z[3]^2*z[4]^3*z[5]^3-3*q^3*z[1]*z[2]^2*z[3] ^3*z[4]^3*z[5]^3-q^3*z[1]^2*z[2]*z[3]^2*z[4]^3*z[5]^3-3*q^3*z[1]*z[2]^2*z[3]^2* z[4]^3*z[5]^3-q^3*z[1]*z[2]*z[3]^3*z[4]^3*z[5]^3-q^3*z[2]^2*z[3]^3*z[4]^3*z[5]^ 3-q^3*z[1]*z[2]*z[3]^2*z[4]^3*z[5]^3-q^3*z[2]^2*z[3]^2*z[4]^3*z[5]^3+q^2*z[1]^2 *z[2]^2*z[3]^3*z[4]^2*z[5]^2+2*q^2*z[1]^2*z[2]^2*z[3]^2*z[4]^2*z[5]^2+q^2*z[1]^ 2*z[2]*z[3]^3*z[4]^2*z[5]^2+q^2*z[1]*z[2]^3*z[3]^2*z[4]^2*z[5]^2+2*q^2*z[1]*z[2 ]^2*z[3]^3*z[4]^2*z[5]^2+q^2*z[1]^2*z[2]^2*z[3]*z[4]^2*z[5]^2+2*q^2*z[1]^2*z[2] *z[3]^2*z[4]^2*z[5]^2+5*q^2*z[1]*z[2]^2*z[3]^2*z[4]^2*z[5]^2+2*q^2*z[1]*z[2]*z[ 3]^3*z[4]^2*z[5]^2+q^2*z[2]^2*z[3]^3*z[4]^2*z[5]^2+q^2*z[1]^2*z[2]*z[3]*z[4]^2* z[5]^2+2*q^2*z[1]*z[2]^2*z[3]*z[4]^2*z[5]^2+5*q^2*z[1]*z[2]*z[3]^2*z[4]^2*z[5]^ 2+2*q^2*z[2]^2*z[3]^2*z[4]^2*z[5]^2+q^2*z[2]*z[3]^3*z[4]^2*z[5]^2+2*q^2*z[1]*z[ 2]*z[3]*z[4]^2*z[5]^2+q^2*z[1]*z[3]^2*z[4]^2*z[5]^2+q^2*z[2]^2*z[3]*z[4]^2*z[5] ^2+2*q^2*z[2]*z[3]^2*z[4]^2*z[5]^2+q^2*z[2]*z[3]*z[4]^2*z[5]^2-q*z[1]*z[2]^2*z[ 3]^2*z[4]*z[5]-q*z[1]*z[2]*z[3]^3*z[4]*z[5]-q*z[1]*z[2]^2*z[3]*z[4]*z[5]-3*q*z[ 1]*z[2]*z[3]^2*z[4]*z[5]-q*z[2]^2*z[3]^2*z[4]*z[5]-q*z[2]*z[3]^3*z[4]*z[5]-3*q* z[1]*z[2]*z[3]*z[4]*z[5]-q*z[1]*z[3]^2*z[4]*z[5]-q*z[2]^2*z[3]*z[4]*z[5]-3*q*z[ 2]*z[3]^2*z[4]*z[5]-q*z[1]*z[2]*z[4]*z[5]-q*z[1]*z[3]*z[4]*z[5]-3*q*z[2]*z[3]*z [4]*z[5]-q*z[3]^2*z[4]*z[5]-q*z[2]*z[4]*z[5]-q*z[3]*z[4]*z[5]+z[2]*z[3]^2+z[2]* z[3]+z[3]^2+z[2]+z[3]+1)/(q*z[4]*z[5]-1)/(q*z[3]*z[4]*z[5]-1)/(q*z[2]*z[3]*z[4] *z[5]-1)/(q*z[2]*z[4]*z[5]-1)/(q*z[1]*z[2]*z[4]*z[5]-1)/(q*z[1]*z[4]*z[5]-1)/(q *z[1]*z[3]*z[4]*z[5]-1) x[1] x[2] x[3] For the coeff., -------------- 2 x[4] x[5] we have: 2 4 3 3 3 4 4 - z[4] (-1 + z[3]) (z[2] - 1) (-1 + z[1]) (q z[1] z[2] z[3] z[4] z[5] 4 3 2 3 4 4 4 2 3 3 4 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 2 3 4 4 4 3 3 4 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 4 4 3 3 2 3 3 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 3 3 3 3 2 2 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 3 2 3 3 3 2 2 3 3 3 - q z[1] z[2] z[3] z[4] z[5] - 3 q z[1] z[2] z[3] z[4] z[5] 3 3 3 3 3 3 2 2 2 3 3 - q z[1] z[2] z[3] z[4] z[5] - 3 q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 3 3 3 2 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 3 3 2 2 3 3 - 3 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 2 3 3 3 3 3 3 - 3 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 3 3 2 3 3 - q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 2 3 3 2 2 2 3 2 2 - q z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 2 2 3 2 2 + 2 q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 2 3 2 2 2 2 2 3 2 2 + q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 2 2 2 2 + q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 3 2 2 + 5 q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 2 2 3 2 2 2 2 2 2 + q z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 2 2 + 2 q z[1] z[2] z[3] z[4] z[5] + 5 q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 3 2 2 + 2 q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 2 2 2 2 2 2 2 + 2 q z[1] z[2] z[3] z[4] z[5] + q z[1] z[3] z[4] z[5] 2 2 2 2 2 2 2 2 + q z[2] z[3] z[4] z[5] + 2 q z[2] z[3] z[4] z[5] 2 2 2 2 2 + q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 2 2 2 - 3 q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 3 - q z[2] z[3] z[4] z[5] - 3 q z[1] z[2] z[3] z[4] z[5] 2 2 - q z[1] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 2 - 3 q z[2] z[3] z[4] z[5] - q z[1] z[2] z[4] z[5] - q z[1] z[3] z[4] z[5] 2 - 3 q z[2] z[3] z[4] z[5] - q z[3] z[4] z[5] - q z[2] z[4] z[5] 2 2 - q z[3] z[4] z[5] + z[2] z[3] + z[2] z[3] + z[3] + z[2] + z[3] + 1)/( (q z[4] z[5] - 1) (q z[3] z[4] z[5] - 1) (q z[2] z[4] z[5] - 1) (q z[1] z[2] z[4] z[5] - 1) (q z[2] z[3] z[4] z[5] - 1) (q z[1] z[4] z[5] - 1) (q z[1] z[3] z[4] z[5] - 1)) and in Maple input notation: -z[4]^2*(-1+z[3])*(z[2]-1)*(-1+z[1])*(q^4*z[1]^3*z[2]^3*z[3]^3*z[4]^4*z[5]^4+q^ 4*z[1]^3*z[2]^2*z[3]^3*z[4]^4*z[5]^4+q^4*z[1]^2*z[2]^3*z[3]^3*z[4]^4*z[5]^4+q^4 *z[1]^2*z[2]^2*z[3]^3*z[4]^4*z[5]^4+q^4*z[1]*z[2]^3*z[3]^3*z[4]^4*z[5]^4+q^4*z[ 1]*z[2]^2*z[3]^3*z[4]^4*z[5]^4-q^3*z[1]^3*z[2]^2*z[3]^3*z[4]^3*z[5]^3-q^3*z[1]^ 2*z[2]^3*z[3]^3*z[4]^3*z[5]^3-q^3*z[1]^3*z[2]^2*z[3]^2*z[4]^3*z[5]^3-q^3*z[1]^2 *z[2]^3*z[3]^2*z[4]^3*z[5]^3-3*q^3*z[1]^2*z[2]^2*z[3]^3*z[4]^3*z[5]^3-q^3*z[1]* z[2]^3*z[3]^3*z[4]^3*z[5]^3-3*q^3*z[1]^2*z[2]^2*z[3]^2*z[4]^3*z[5]^3-q^3*z[1]^2 *z[2]*z[3]^3*z[4]^3*z[5]^3-q^3*z[1]*z[2]^3*z[3]^2*z[4]^3*z[5]^3-3*q^3*z[1]*z[2] ^2*z[3]^3*z[4]^3*z[5]^3-q^3*z[1]^2*z[2]*z[3]^2*z[4]^3*z[5]^3-3*q^3*z[1]*z[2]^2* z[3]^2*z[4]^3*z[5]^3-q^3*z[1]*z[2]*z[3]^3*z[4]^3*z[5]^3-q^3*z[2]^2*z[3]^3*z[4]^ 3*z[5]^3-q^3*z[1]*z[2]*z[3]^2*z[4]^3*z[5]^3-q^3*z[2]^2*z[3]^2*z[4]^3*z[5]^3+q^2 *z[1]^2*z[2]^2*z[3]^3*z[4]^2*z[5]^2+2*q^2*z[1]^2*z[2]^2*z[3]^2*z[4]^2*z[5]^2+q^ 2*z[1]^2*z[2]*z[3]^3*z[4]^2*z[5]^2+q^2*z[1]*z[2]^3*z[3]^2*z[4]^2*z[5]^2+2*q^2*z [1]*z[2]^2*z[3]^3*z[4]^2*z[5]^2+q^2*z[1]^2*z[2]^2*z[3]*z[4]^2*z[5]^2+2*q^2*z[1] ^2*z[2]*z[3]^2*z[4]^2*z[5]^2+5*q^2*z[1]*z[2]^2*z[3]^2*z[4]^2*z[5]^2+2*q^2*z[1]* z[2]*z[3]^3*z[4]^2*z[5]^2+q^2*z[2]^2*z[3]^3*z[4]^2*z[5]^2+q^2*z[1]^2*z[2]*z[3]* z[4]^2*z[5]^2+2*q^2*z[1]*z[2]^2*z[3]*z[4]^2*z[5]^2+5*q^2*z[1]*z[2]*z[3]^2*z[4]^ 2*z[5]^2+2*q^2*z[2]^2*z[3]^2*z[4]^2*z[5]^2+q^2*z[2]*z[3]^3*z[4]^2*z[5]^2+2*q^2* z[1]*z[2]*z[3]*z[4]^2*z[5]^2+q^2*z[1]*z[3]^2*z[4]^2*z[5]^2+q^2*z[2]^2*z[3]*z[4] ^2*z[5]^2+2*q^2*z[2]*z[3]^2*z[4]^2*z[5]^2+q^2*z[2]*z[3]*z[4]^2*z[5]^2-q*z[1]*z[ 2]^2*z[3]^2*z[4]*z[5]-q*z[1]*z[2]*z[3]^3*z[4]*z[5]-q*z[1]*z[2]^2*z[3]*z[4]*z[5] -3*q*z[1]*z[2]*z[3]^2*z[4]*z[5]-q*z[2]^2*z[3]^2*z[4]*z[5]-q*z[2]*z[3]^3*z[4]*z[ 5]-3*q*z[1]*z[2]*z[3]*z[4]*z[5]-q*z[1]*z[3]^2*z[4]*z[5]-q*z[2]^2*z[3]*z[4]*z[5] -3*q*z[2]*z[3]^2*z[4]*z[5]-q*z[1]*z[2]*z[4]*z[5]-q*z[1]*z[3]*z[4]*z[5]-3*q*z[2] *z[3]*z[4]*z[5]-q*z[3]^2*z[4]*z[5]-q*z[2]*z[4]*z[5]-q*z[3]*z[4]*z[5]+z[2]*z[3]^ 2+z[2]*z[3]+z[3]^2+z[2]+z[3]+1)/(q*z[4]*z[5]-1)/(q*z[3]*z[4]*z[5]-1)/(q*z[2]*z[ 4]*z[5]-1)/(q*z[1]*z[2]*z[4]*z[5]-1)/(q*z[2]*z[3]*z[4]*z[5]-1)/(q*z[1]*z[4]*z[5 ]-1)/(q*z[1]*z[3]*z[4]*z[5]-1) 2 x[1] x[2] For the coeff., ---------- 3 x[3] we have: 6 3 2 5 6 4 (z[2] - 1) (-1 + z[1]) (q z[1] z[2] z[3] z[4] z[5] 6 3 2 5 3 6 6 3 2 5 4 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 3 2 5 3 4 5 3 2 4 5 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 5 3 3 6 3 2 5 3 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 3 2 4 5 3 5 3 2 4 3 5 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 2 4 5 4 6 3 5 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 2 5 3 3 5 3 2 4 4 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 2 4 3 4 5 3 2 4 2 5 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 3 4 5 3 5 2 2 4 5 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 2 4 3 5 6 2 5 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 2 4 3 3 5 3 2 4 2 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 4 2 5 5 2 2 5 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 2 4 4 3 5 2 2 4 3 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 2 4 2 5 5 2 4 5 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 4 4 3 2 5 4 4 2 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 3 2 4 3 2 5 3 2 4 2 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 4 3 3 5 2 2 4 3 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 2 4 2 4 5 2 4 2 5 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 3 2 3 4 3 4 2 2 3 4 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 4 3 2 5 3 4 2 3 - 2 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 2 4 3 2 5 2 2 4 2 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 4 3 3 4 3 2 4 3 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 3 2 4 2 3 4 3 2 3 3 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 3 2 3 2 4 4 3 3 4 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 2 3 4 3 4 2 2 3 3 4 + 2 q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 4 3 2 5 2 4 2 3 - 2 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 3 2 3 2 3 4 3 3 4 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 3 3 2 4 4 2 2 4 3 2 + q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 4 2 2 4 2 3 4 2 2 3 3 3 + 2 q z[1] z[2] z[3] z[4] z[5] - 2 q z[1] z[2] z[3] z[4] z[5] 4 2 2 3 2 4 4 2 3 4 3 + q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 4 2 3 4 3 5 3 4 2 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[3] z[4] z[5] 5 4 3 2 5 4 2 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 4 3 2 2 4 3 2 3 2 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 3 3 3 2 4 3 3 2 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 3 3 4 4 2 2 4 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 2 3 3 2 4 2 2 3 2 3 - q z[1] z[2] z[3] z[4] z[5] - 2 q z[1] z[2] z[3] z[4] z[5] 4 2 3 4 2 4 2 3 2 4 + 2 q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 4 2 4 3 2 4 2 4 2 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 3 3 4 2 3 2 4 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 3 4 3 5 2 4 2 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[3] z[4] z[5] 4 3 3 3 4 3 3 2 2 + q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 4 2 2 3 3 4 2 2 3 2 2 - q z[1] z[2] z[3] z[4] z[5] - 2 q z[1] z[2] z[3] z[4] z[5] 4 2 2 3 3 4 2 4 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 3 2 4 2 3 2 3 - 2 q z[1] z[2] z[3] z[4] z[5] - 2 q z[1] z[2] z[3] z[4] z[5] 4 2 3 4 4 2 3 4 2 + 2 q z[1] z[2] z[3] z[4] z[5] + q z[1] z[3] z[4] z[5] 4 2 3 2 3 4 3 4 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 3 2 4 3 3 2 3 2 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 2 2 3 3 4 2 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 2 2 4 2 3 3 + 2 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 3 4 4 2 3 2 2 + q z[1] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 3 3 2 4 3 2 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 3 4 3 3 2 3 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 2 3 3 3 2 2 3 2 2 - q z[1] z[2] z[3] z[4] z[5] - 3 q z[1] z[2] z[3] z[4] z[5] 3 2 2 3 3 3 2 2 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 2 3 3 4 3 3 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[3] z[4] z[5] 4 3 3 2 4 2 3 2 2 + q z[1] z[3] z[4] z[5] - q z[1] z[3] z[4] z[5] 4 3 3 4 3 2 2 + q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 3 3 2 2 2 3 3 2 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 2 3 2 3 2 2 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 2 2 2 2 3 2 2 3 2 + q z[1] z[2] z[3] z[4] z[5] - 3 q z[1] z[2] z[3] z[4] z[5] 3 2 2 2 3 3 2 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 3 2 2 3 2 3 3 - 3 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 4 2 3 2 - q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[3] z[4] z[5] 4 2 3 2 4 3 2 2 + q z[1] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 3 3 2 2 3 2 2 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 2 2 2 3 2 3 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 3 2 3 2 2 2 2 - q z[1] z[2] z[3] z[4] z[5] + 3 q z[1] z[2] z[3] z[4] z[5] 3 2 2 3 3 2 2 3 2 - 2 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[3] z[4] z[5] 3 2 3 2 3 2 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 2 2 2 3 2 3 2 + q z[1] z[2] z[3] z[4] z[5] - 3 q z[1] z[2] z[3] z[4] z[5] 3 2 2 3 3 2 3 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 4 3 2 4 3 2 + q z[1] z[3] z[4] z[5] + q z[1] z[3] z[4] z[5] 3 2 2 2 3 2 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 2 3 3 2 2 3 - q z[1] z[3] z[4] z[5] - q z[1] z[3] z[4] z[5] 3 2 2 2 3 2 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 3 2 3 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 2 2 3 2 3 + 3 q z[1] z[2] z[3] z[4] z[5] - 2 q z[1] z[2] z[3] z[4] z[5] 3 2 3 2 3 2 3 2 - q z[1] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 2 2 2 2 2 2 2 2 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 3 2 3 2 2 2 - q z[1] z[3] z[4] z[5] + q z[1] z[3] z[4] z[5] 3 2 2 2 3 2 2 3 + q z[1] z[3] z[4] z[5] - q z[1] z[3] z[5] 3 2 2 3 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 2 3 - q z[1] z[3] z[4] z[5] - q z[1] z[3] z[4] z[5] 3 2 2 2 3 2 3 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 2 2 2 2 2 2 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 2 2 + 2 q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 3 2 2 2 3 2 2 - q z[1] z[3] z[4] - 2 q z[1] z[3] z[4] z[5] 3 2 2 3 2 2 + q z[1] z[3] z[4] z[5] + q z[1] z[3] z[4] z[5] 3 2 3 3 2 2 - q z[1] z[3] z[5] - q z[2] z[3] z[4] z[5] 2 2 2 2 2 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] 2 2 2 2 2 2 2 + 2 q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[5] 2 2 2 2 2 2 2 + 2 q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 2 2 2 2 3 2 2 + q z[2] z[3] z[4] z[5] - q z[1] z[3] z[4] 3 2 2 2 2 - 2 q z[1] z[3] z[4] z[5] + q z[1] z[3] z[4] z[5] 2 2 2 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] 2 2 2 2 2 + 2 q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[5] 2 2 2 2 2 2 + q z[1] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 2 2 2 3 2 2 2 + q z[2] z[3] z[4] z[5] - q z[3] z[4] z[5] - q z[1] z[3] z[4] z[5] 2 2 2 2 + q z[1] z[3] z[5] - q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 + 2 q z[1] z[3] z[4] z[5] + q z[1] z[3] z[4] z[5] 2 2 2 + q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 + q z[1] z[3] z[4] - 2 q z[1] z[3] z[4] z[5] + q z[1] z[3] z[5] 2 2 2 2 + q z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] - q z[1] z[2] z[3] z[5] 2 2 2 - q z[2] z[3] z[4] z[5] + q z[1] z[3] z[4] - q z[3] z[4] z[5] 2 2 + q z[3] z[5] - q z[1] z[2] z[3] z[4] - q z[1] z[2] z[3] z[5] 2 2 2 - q z[2] z[3] z[4] - q z[2] z[3] z[5] + q z[3] z[4] - q z[1] z[4] z[5] 2 / - q z[2] z[3] z[4] - q z[2] z[3] z[5] - q z[4] z[5] + z[2] + z[2]) / ( / (q z[3] z[5] - 1) (q z[1] z[3] z[5] - 1) (q z[3] z[4] - 1) (q z[3] z[4] z[5] - 1) (q z[1] z[3] z[4] - 1) (q z[1] z[3] z[4] z[5] - 1) 2 (q z[1] z[3] z[4] z[5] - 1) (q z[2] z[3] z[4] z[5] - 1)) and in Maple input notation: (z[2]-1)*(-1+z[1])*(q^6*z[1]^3*z[2]^2*z[3]^5*z[4]^6*z[5]^4+q^6*z[1]^3*z[2]^2*z[ 3]^5*z[4]^3*z[5]^6-q^6*z[1]^3*z[2]^2*z[3]^5*z[4]^4*z[5]^4-q^6*z[1]^3*z[2]^2*z[3 ]^5*z[4]^3*z[5]^4-q^5*z[1]^3*z[2]^2*z[3]^4*z[4]^5*z[5]^4+q^6*z[1]^4*z[2]*z[3]^5 *z[4]^3*z[5]^3-q^6*z[1]^3*z[2]^2*z[3]^5*z[4]^3*z[5]^3-q^5*z[1]^3*z[2]^2*z[3]^4* z[4]^5*z[5]^3-q^5*z[1]^3*z[2]^2*z[3]^4*z[4]^3*z[5]^5-q^5*z[1]^2*z[2]^2*z[3]^4*z [4]^5*z[5]^4+q^6*z[1]^3*z[2]*z[3]^5*z[4]^3*z[5]^3-q^5*z[1]^3*z[2]^2*z[3]^5*z[4] ^3*z[5]^3+q^5*z[1]^3*z[2]^2*z[3]^4*z[4]^4*z[5]^3+q^5*z[1]^3*z[2]^2*z[3]^4*z[4]^ 3*z[5]^4-q^5*z[1]^3*z[2]^2*z[3]^4*z[4]^2*z[5]^5-q^5*z[1]^3*z[2]*z[3]^4*z[4]^5*z [5]^3-q^5*z[1]^2*z[2]^2*z[3]^4*z[4]^5*z[5]^3-q^5*z[1]^2*z[2]^2*z[3]^4*z[4]^3*z[ 5]^5+q^6*z[1]^2*z[2]*z[3]^5*z[4]^3*z[5]^3+q^5*z[1]^3*z[2]^2*z[3]^4*z[4]^3*z[5]^ 3+q^5*z[1]^3*z[2]^2*z[3]^4*z[4]^2*z[5]^4-q^5*z[1]^3*z[2]*z[3]^4*z[4]^2*z[5]^5-q ^5*z[1]^2*z[2]^2*z[3]^5*z[4]^3*z[5]^3+q^5*z[1]^2*z[2]^2*z[3]^4*z[4]^4*z[5]^3+q^ 5*z[1]^2*z[2]^2*z[3]^4*z[4]^3*z[5]^4-q^5*z[1]^2*z[2]^2*z[3]^4*z[4]^2*z[5]^5-q^5 *z[1]^2*z[2]*z[3]^4*z[4]^5*z[5]^3-q^5*z[1]^4*z[2]*z[3]^4*z[4]^3*z[5]^2-q^5*z[1] ^4*z[2]*z[3]^4*z[4]^2*z[5]^3+q^5*z[1]^3*z[2]^2*z[3]^4*z[4]^3*z[5]^2+q^5*z[1]^3* z[2]^2*z[3]^4*z[4]^2*z[5]^3+q^5*z[1]^3*z[2]*z[3]^4*z[4]^3*z[5]^3+q^5*z[1]^2*z[2 ]^2*z[3]^4*z[4]^3*z[5]^3+q^5*z[1]^2*z[2]^2*z[3]^4*z[4]^2*z[5]^4-q^5*z[1]^2*z[2] *z[3]^4*z[4]^2*z[5]^5+q^4*z[1]^3*z[2]^2*z[3]^3*z[4]^4*z[5]^3+q^4*z[1]^2*z[2]^2* z[3]^3*z[4]^4*z[5]^4-2*q^5*z[1]^3*z[2]*z[3]^4*z[4]^3*z[5]^2-q^5*z[1]^3*z[2]*z[3 ]^4*z[4]^2*z[5]^3+q^5*z[1]^2*z[2]^2*z[3]^4*z[4]^3*z[5]^2+q^5*z[1]^2*z[2]^2*z[3] ^4*z[4]^2*z[5]^3+q^5*z[1]^2*z[2]*z[3]^4*z[4]^3*z[5]^3+q^4*z[1]^3*z[2]^2*z[3]^4* z[4]^3*z[5]^2+q^4*z[1]^3*z[2]^2*z[3]^4*z[4]^2*z[5]^3-q^4*z[1]^3*z[2]^2*z[3]^3*z [4]^3*z[5]^3+q^4*z[1]^3*z[2]^2*z[3]^3*z[4]^2*z[5]^4+q^4*z[1]^3*z[2]*z[3]^3*z[4] ^4*z[5]^3+2*q^4*z[1]^2*z[2]^2*z[3]^3*z[4]^4*z[5]^3+q^4*z[1]^2*z[2]^2*z[3]^3*z[4 ]^3*z[5]^4-2*q^5*z[1]^2*z[2]*z[3]^4*z[4]^3*z[5]^2-q^5*z[1]^2*z[2]*z[3]^4*z[4]^2 *z[5]^3-q^4*z[1]^3*z[2]^2*z[3]^3*z[4]^2*z[5]^3+q^4*z[1]^3*z[2]*z[3]^3*z[4]^4*z[ 5]^2+q^4*z[1]^3*z[2]*z[3]^3*z[4]^2*z[5]^4+2*q^4*z[1]^2*z[2]^2*z[3]^4*z[4]^3*z[5 ]^2+2*q^4*z[1]^2*z[2]^2*z[3]^4*z[4]^2*z[5]^3-2*q^4*z[1]^2*z[2]^2*z[3]^3*z[4]^3* z[5]^3+q^4*z[1]^2*z[2]^2*z[3]^3*z[4]^2*z[5]^4+2*q^4*z[1]^2*z[2]*z[3]^3*z[4]^4*z [5]^3+q^4*z[1]*z[2]^2*z[3]^3*z[4]^4*z[5]^3-q^5*z[1]^3*z[3]^4*z[4]^2*z[5]^2-q^5* z[1]*z[2]*z[3]^4*z[4]^3*z[5]^2-q^5*z[1]*z[2]*z[3]^4*z[4]^2*z[5]^3+q^4*z[1]^4*z[ 2]*z[3]^3*z[4]^2*z[5]^2-q^4*z[1]^3*z[2]^2*z[3]^3*z[4]^2*z[5]^2-q^4*z[1]^3*z[2]* z[3]^3*z[4]^3*z[5]^2-q^4*z[1]^3*z[2]*z[3]^3*z[4]^2*z[5]^3+q^4*z[1]^3*z[2]*z[3]^ 3*z[4]*z[5]^4+q^4*z[1]^2*z[2]^2*z[3]^4*z[4]^2*z[5]^2-q^4*z[1]^2*z[2]^2*z[3]^3*z [4]^3*z[5]^2-2*q^4*z[1]^2*z[2]^2*z[3]^3*z[4]^2*z[5]^3+2*q^4*z[1]^2*z[2]*z[3]^3* z[4]^4*z[5]^2+2*q^4*z[1]^2*z[2]*z[3]^3*z[4]^2*z[5]^4+q^4*z[1]*z[2]^2*z[3]^4*z[4 ]^3*z[5]^2+q^4*z[1]*z[2]^2*z[3]^4*z[4]^2*z[5]^3-q^4*z[1]*z[2]^2*z[3]^3*z[4]^3*z [5]^3+q^4*z[1]*z[2]^2*z[3]^3*z[4]^2*z[5]^4+q^4*z[1]*z[2]*z[3]^3*z[4]^4*z[5]^3-q ^5*z[1]^2*z[3]^4*z[4]^2*z[5]^2+q^4*z[1]^3*z[2]*z[3]^3*z[4]^3*z[5]+2*q^4*z[1]^3* z[2]*z[3]^3*z[4]^2*z[5]^2-q^4*z[1]^2*z[2]^2*z[3]^3*z[4]^3*z[5]-2*q^4*z[1]^2*z[2 ]^2*z[3]^3*z[4]^2*z[5]^2-q^4*z[1]^2*z[2]^2*z[3]^3*z[4]*z[5]^3+q^4*z[1]^2*z[2]*z [3]^4*z[4]^2*z[5]^2-2*q^4*z[1]^2*z[2]*z[3]^3*z[4]^3*z[5]^2-2*q^4*z[1]^2*z[2]*z[ 3]^3*z[4]^2*z[5]^3+2*q^4*z[1]^2*z[2]*z[3]^3*z[4]*z[5]^4+q^4*z[1]^2*z[3]^3*z[4]^ 4*z[5]^2-q^4*z[1]*z[2]^2*z[3]^3*z[4]^2*z[5]^3+q^4*z[1]*z[2]*z[3]^3*z[4]^4*z[5]^ 2+q^4*z[1]*z[2]*z[3]^3*z[4]^2*z[5]^4-q^3*z[1]^3*z[2]^2*z[3]^3*z[4]^2*z[5]^2-q^3 *z[1]^2*z[2]^2*z[3]^2*z[4]^3*z[5]^3+q^4*z[1]^2*z[2]*z[3]^3*z[4]^3*z[5]+2*q^4*z[ 1]^2*z[2]*z[3]^3*z[4]^2*z[5]^2-q^4*z[1]^2*z[2]*z[3]^3*z[4]*z[5]^3+q^4*z[1]^2*z[ 3]^3*z[4]*z[5]^4-q^4*z[1]*z[2]^2*z[3]^3*z[4]^2*z[5]^2-q^4*z[1]*z[2]*z[3]^3*z[4] ^3*z[5]^2-q^4*z[1]*z[2]*z[3]^3*z[4]^2*z[5]^3+q^4*z[1]*z[2]*z[3]^3*z[4]*z[5]^4-q ^3*z[1]^3*z[2]*z[3]^2*z[4]^3*z[5]^2-q^3*z[1]^2*z[2]^2*z[3]^3*z[4]^3*z[5]-3*q^3* z[1]^2*z[2]^2*z[3]^3*z[4]^2*z[5]^2-q^3*z[1]^2*z[2]^2*z[3]^3*z[4]*z[5]^3-q^3*z[1 ]^2*z[2]*z[3]^2*z[4]^3*z[5]^3-q^3*z[1]*z[2]^2*z[3]^2*z[4]^3*z[5]^3+q^4*z[1]^3*z [3]^3*z[4]^2*z[5]+q^4*z[1]^3*z[3]^3*z[4]*z[5]^2-q^4*z[1]^2*z[3]^3*z[4]^2*z[5]^2 +q^4*z[1]*z[2]*z[3]^3*z[4]^3*z[5]+2*q^4*z[1]*z[2]*z[3]^3*z[4]^2*z[5]^2+q^3*z[1] ^3*z[2]*z[3]^2*z[4]^2*z[5]^2-q^3*z[1]^3*z[2]*z[3]^2*z[4]*z[5]^3-q^3*z[1]^2*z[2] ^2*z[3]^3*z[4]^2*z[5]-q^3*z[1]^2*z[2]^2*z[3]^3*z[4]*z[5]^2+q^3*z[1]^2*z[2]^2*z[ 3]^2*z[4]^2*z[5]^2-3*q^3*z[1]^2*z[2]*z[3]^2*z[4]^3*z[5]^2-q^3*z[1]^2*z[2]*z[3]^ 2*z[4]^2*z[5]^3-q^3*z[1]*z[2]^2*z[3]^3*z[4]^3*z[5]-3*q^3*z[1]*z[2]^2*z[3]^3*z[4 ]^2*z[5]^2-q^3*z[1]*z[2]^2*z[3]^3*z[4]*z[5]^3-q^3*z[1]*z[2]*z[3]^2*z[4]^3*z[5]^ 3+2*q^4*z[1]^2*z[3]^3*z[4]^2*z[5]+q^4*z[1]^2*z[3]^3*z[4]*z[5]^2+q^4*z[2]*z[3]^3 *z[4]^2*z[5]^2-q^3*z[1]^3*z[2]*z[3]^2*z[4]^2*z[5]+q^3*z[1]^2*z[2]^2*z[3]^2*z[4] ^2*z[5]+q^3*z[1]^2*z[2]^2*z[3]^2*z[4]*z[5]^2-q^3*z[1]^2*z[2]*z[3]^3*z[4]^2*z[5] -q^3*z[1]^2*z[2]*z[3]^3*z[4]*z[5]^2+3*q^3*z[1]^2*z[2]*z[3]^2*z[4]^2*z[5]^2-2*q^ 3*z[1]^2*z[2]*z[3]^2*z[4]*z[5]^3-q^3*z[1]^2*z[3]^2*z[4]^3*z[5]^2-q^3*z[1]*z[2]^ 2*z[3]^3*z[4]^2*z[5]-q^3*z[1]*z[2]^2*z[3]^3*z[4]*z[5]^2+q^3*z[1]*z[2]^2*z[3]^2* z[4]^2*z[5]^2-3*q^3*z[1]*z[2]*z[3]^2*z[4]^3*z[5]^2-q^3*z[1]*z[2]*z[3]^2*z[4]^2* z[5]^3-q^3*z[2]^2*z[3]^3*z[4]^2*z[5]^2+q^4*z[1]*z[3]^3*z[4]^2*z[5]+q^4*z[1]*z[3 ]^3*z[4]*z[5]^2-q^3*z[1]^2*z[2]*z[3]^2*z[4]^2*z[5]+q^3*z[1]^2*z[2]*z[3]^2*z[4]* z[5]^2-q^3*z[1]^2*z[3]^2*z[4]^3*z[5]-q^3*z[1]^2*z[3]^2*z[4]*z[5]^3+q^3*z[1]*z[2 ]^2*z[3]^2*z[4]^2*z[5]+q^3*z[1]*z[2]^2*z[3]^2*z[4]*z[5]^2-q^3*z[1]*z[2]*z[3]^3* z[4]^2*z[5]-q^3*z[1]*z[2]*z[3]^3*z[4]*z[5]^2+3*q^3*z[1]*z[2]*z[3]^2*z[4]^2*z[5] ^2-2*q^3*z[1]*z[2]*z[3]^2*z[4]*z[5]^3-q^3*z[1]*z[3]^2*z[4]^3*z[5]^2-q^3*z[2]*z[ 3]^2*z[4]^3*z[5]^2+q^2*z[1]^2*z[2]^2*z[3]^2*z[4]^2*z[5]+q^2*z[1]^2*z[2]^2*z[3]^ 2*z[4]*z[5]^2-q^3*z[1]^3*z[3]^2*z[4]*z[5]+q^3*z[1]^2*z[3]^2*z[4]^2*z[5]+q^3*z[1 ]^2*z[3]^2*z[4]*z[5]^2-q^3*z[1]^2*z[3]^2*z[5]^3-q^3*z[1]*z[2]*z[3]^2*z[4]^2*z[5 ]+q^3*z[1]*z[2]*z[3]^2*z[4]*z[5]^2-q^3*z[1]*z[3]^2*z[4]^3*z[5]-q^3*z[1]*z[3]^2* z[4]*z[5]^3+q^3*z[2]*z[3]^2*z[4]^2*z[5]^2-q^3*z[2]*z[3]^2*z[4]*z[5]^3+q^2*z[1]^ 2*z[2]^2*z[3]^2*z[4]*z[5]+q^2*z[1]^2*z[2]*z[3]*z[4]^2*z[5]^2+2*q^2*z[1]*z[2]^2* z[3]^2*z[4]^2*z[5]+2*q^2*z[1]*z[2]^2*z[3]^2*z[4]*z[5]^2-q^3*z[1]^2*z[3]^2*z[4]^ 2-2*q^3*z[1]^2*z[3]^2*z[4]*z[5]+q^3*z[1]*z[3]^2*z[4]^2*z[5]+q^3*z[1]*z[3]^2*z[4 ]*z[5]^2-q^3*z[1]*z[3]^2*z[5]^3-q^3*z[2]*z[3]^2*z[4]^2*z[5]+q^2*z[1]^2*z[2]*z[3 ]^2*z[4]*z[5]+q^2*z[1]*z[2]^2*z[3]^2*z[4]^2+2*q^2*z[1]*z[2]^2*z[3]^2*z[4]*z[5]+ q^2*z[1]*z[2]^2*z[3]^2*z[5]^2+2*q^2*z[1]*z[2]*z[3]*z[4]^2*z[5]^2+q^2*z[2]^2*z[3 ]^2*z[4]^2*z[5]+q^2*z[2]^2*z[3]^2*z[4]*z[5]^2-q^3*z[1]*z[3]^2*z[4]^2-2*q^3*z[1] *z[3]^2*z[4]*z[5]+q^2*z[1]^2*z[3]*z[4]^2*z[5]-q^2*z[1]*z[2]^2*z[3]*z[4]*z[5]+q^ 2*z[1]*z[2]*z[3]^2*z[4]^2+2*q^2*z[1]*z[2]*z[3]^2*z[4]*z[5]+q^2*z[1]*z[2]*z[3]^2 *z[5]^2+q^2*z[1]*z[3]*z[4]^2*z[5]^2+q^2*z[2]^2*z[3]^2*z[4]*z[5]+q^2*z[2]*z[3]*z [4]^2*z[5]^2-q^3*z[3]^2*z[4]*z[5]-q^2*z[1]^2*z[3]*z[4]*z[5]+q^2*z[1]^2*z[3]*z[5 ]^2-q^2*z[1]*z[2]*z[3]*z[4]*z[5]+2*q^2*z[1]*z[3]*z[4]^2*z[5]+q^2*z[1]*z[3]*z[4] *z[5]^2+q^2*z[2]*z[3]^2*z[4]*z[5]-q*z[1]*z[2]^2*z[3]*z[4]*z[5]+q^2*z[1]^2*z[3]* z[4]-2*q^2*z[1]*z[3]*z[4]*z[5]+q^2*z[1]*z[3]*z[5]^2+q^2*z[3]*z[4]^2*z[5]-q*z[1] *z[2]^2*z[3]*z[4]-q*z[1]*z[2]^2*z[3]*z[5]-q*z[2]^2*z[3]*z[4]*z[5]+q^2*z[1]*z[3] *z[4]-q^2*z[3]*z[4]*z[5]+q^2*z[3]*z[5]^2-q*z[1]*z[2]*z[3]*z[4]-q*z[1]*z[2]*z[3] *z[5]-q*z[2]^2*z[3]*z[4]-q*z[2]^2*z[3]*z[5]+q^2*z[3]*z[4]-q*z[1]*z[4]*z[5]-q*z[ 2]*z[3]*z[4]-q*z[2]*z[3]*z[5]-q*z[4]*z[5]+z[2]^2+z[2])/(q*z[3]*z[5]-1)/(q*z[1]* z[3]*z[5]-1)/(q*z[3]*z[4]-1)/(q*z[3]*z[4]*z[5]-1)/(q*z[1]*z[3]*z[4]-1)/(q*z[1]* z[3]*z[4]*z[5]-1)/(q^2*z[1]*z[3]*z[4]*z[5]-1)/(q*z[2]*z[3]*z[4]*z[5]-1) 2 x[1] x[2] For the coeff., ---------- 2 x[3] x[4] we have: 4 2 2 4 3 4 (-1 + z[1]) (z[2] - 1) (q z[1] z[2] z[3] z[4] z[5] 4 2 2 4 4 2 4 2 2 4 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 3 4 3 4 2 2 4 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 4 3 3 2 2 4 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 2 3 3 2 3 2 2 3 2 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 4 3 3 2 2 3 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 3 2 3 3 2 4 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 2 3 2 3 2 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 3 3 2 3 2 2 3 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 3 2 3 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 3 2 3 3 2 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 3 2 3 3 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 2 2 2 3 2 3 3 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 2 2 3 2 2 2 2 2 2 + 2 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 3 2 3 3 2 - q z[1] z[3] z[4] - q z[2] z[3] z[4] z[5] 2 2 2 2 2 2 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 2 2 3 2 2 2 3 2 + q z[1] z[2] z[3] z[4] + q z[2] z[3] z[4] z[5] 3 3 2 2 2 2 - q z[1] z[3] z[4] - q z[1] z[2] z[3] z[4] z[5] 2 3 2 2 2 2 + q z[1] z[2] z[3] z[4] - 2 q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 + 2 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 + q z[1] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 2 2 2 2 2 + q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 2 2 + q z[1] z[3] z[4] - q z[1] z[3] z[4] - q z[1] z[2] z[3] z[4] 2 2 2 2 2 - q z[2] z[3] z[4] z[5] + q z[1] z[3] z[4] - q z[1] z[2] z[3] z[4] 2 2 2 2 + q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] + q z[3] z[4] 2 - q z[2] z[3] z[4] + q z[2] z[3] z[4] z[5] + q z[1] z[3] z[4] 2 - q z[1] z[3] z[5] + q z[3] z[4] - q z[3] z[5] + z[2] z[3] + z[2] z[3] / - 1) z[3] / ((q z[3] z[4] - 1) (q z[3] z[4] z[5] - 1) / 2 (q z[1] z[3] z[4] - 1) (q z[1] z[3] z[4] z[5] - 1) (q z[1] z[3] z[4] z[5] - 1) (q z[2] z[3] z[4] z[5] - 1)) and in Maple input notation: (-1+z[1])*(z[2]-1)*(q^4*z[1]^2*z[2]^2*z[3]^4*z[4]^3*z[5]^4-q^4*z[1]^2*z[2]^2*z[ 3]^4*z[4]^4*z[5]^2-q^4*z[1]^2*z[2]^2*z[3]^4*z[4]^3*z[5]^2+q^4*z[1]^3*z[2]*z[3]^ 4*z[4]^3*z[5]-q^4*z[1]^2*z[2]^2*z[3]^4*z[4]^3*z[5]+q^4*z[1]^2*z[2]*z[3]^4*z[4]^ 3*z[5]-q^3*z[1]^2*z[2]^2*z[3]^4*z[4]^3*z[5]+q^3*z[1]^2*z[2]^2*z[3]^3*z[4]^3*z[5 ]^2-q^3*z[1]^2*z[2]^2*z[3]^3*z[4]^2*z[5]^3+q^4*z[1]*z[2]*z[3]^4*z[4]^3*z[5]+q^3 *z[1]^2*z[2]^2*z[3]^3*z[4]^2*z[5]^2-q^3*z[1]^2*z[2]*z[3]^3*z[4]^2*z[5]^3-q^3*z[ 1]*z[2]^2*z[3]^4*z[4]^3*z[5]+q^3*z[1]*z[2]^2*z[3]^3*z[4]^3*z[5]^2-q^3*z[1]*z[2] ^2*z[3]^3*z[4]^2*z[5]^3-q^3*z[1]^3*z[2]*z[3]^3*z[4]^2*z[5]+q^3*z[1]^2*z[2]^2*z[ 3]^3*z[4]^2*z[5]+q^3*z[1]^2*z[2]*z[3]^3*z[4]^3*z[5]+q^3*z[1]*z[2]^2*z[3]^3*z[4] ^2*z[5]^2-q^3*z[1]*z[2]*z[3]^3*z[4]^2*z[5]^3-q^3*z[1]^2*z[2]*z[3]^3*z[4]^2*z[5] +q^3*z[1]*z[2]^2*z[3]^3*z[4]^2*z[5]+q^3*z[1]*z[2]*z[3]^3*z[4]^3*z[5]+q^2*z[1]^2 *z[2]^2*z[3]^3*z[4]^2*z[5]-q^3*z[1]*z[2]*z[3]^3*z[4]^2*z[5]+2*q^2*z[1]*z[2]^2*z [3]^3*z[4]^2*z[5]-q^2*z[1]*z[2]^2*z[3]^2*z[4]^2*z[5]^2-q^3*z[1]^2*z[3]^3*z[4]^2 -q^3*z[2]*z[3]^3*z[4]^2*z[5]-q^2*z[1]^2*z[2]*z[3]^2*z[4]^2*z[5]+q^2*z[1]^2*z[2] *z[3]^2*z[4]*z[5]^2+q^2*z[1]*z[2]^2*z[3]^3*z[4]^2+q^2*z[2]^2*z[3]^3*z[4]^2*z[5] -q^3*z[1]*z[3]^3*z[4]^2-q^2*z[1]*z[2]^2*z[3]^2*z[4]*z[5]+q^2*z[1]*z[2]*z[3]^3*z [4]^2-2*q^2*z[1]*z[2]*z[3]^2*z[4]^2*z[5]+2*q^2*z[1]*z[2]*z[3]^2*z[4]*z[5]^2-q^2 *z[1]*z[2]*z[3]^2*z[4]*z[5]+q^2*z[1]*z[3]^2*z[4]*z[5]^2-q^2*z[2]*z[3]^2*z[4]^2* z[5]+q^2*z[2]*z[3]^2*z[4]*z[5]^2-q*z[1]*z[2]^2*z[3]^2*z[4]*z[5]+q^2*z[1]^2*z[3] ^2*z[4]-q^2*z[1]*z[3]^2*z[4]^2-q*z[1]*z[2]^2*z[3]^2*z[4]-q*z[2]^2*z[3]^2*z[4]*z [5]+q^2*z[1]*z[3]^2*z[4]-q*z[1]*z[2]*z[3]^2*z[4]+q*z[1]*z[2]*z[3]*z[4]*z[5]-q*z [2]^2*z[3]^2*z[4]+q^2*z[3]^2*z[4]-q*z[2]*z[3]^2*z[4]+q*z[2]*z[3]*z[4]*z[5]+q*z[ 1]*z[3]*z[4]-q*z[1]*z[3]*z[5]+q*z[3]*z[4]-q*z[3]*z[5]+z[2]^2*z[3]+z[2]*z[3]-1)* z[3]/(q*z[3]*z[4]-1)/(q*z[3]*z[4]*z[5]-1)/(q*z[1]*z[3]*z[4]-1)/(q^2*z[1]*z[3]*z [4]*z[5]-1)/(q*z[1]*z[3]*z[4]*z[5]-1)/(q*z[2]*z[3]*z[4]*z[5]-1) 2 x[1] x[2] For the coeff., -------------- x[3] x[4] x[5] we have: 2 2 2 3 2 (-1 + z[1]) (z[2] - 1) (-q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 2 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 2 2 2 2 - q z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 2 + q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 2 + q z[2] z[3] z[4] z[5] - q z[1] z[3] z[4] + z[2] z[3] z[4] - q z[3] z[4] / + z[2] z[3] z[4] - z[4] - 1) z[3] / ((q z[3] z[4] z[5] - 1) / 2 (q z[1] z[3] z[4] z[5] - 1) (q z[1] z[3] z[4] z[5] - 1) (q z[2] z[3] z[4] z[5] - 1)) and in Maple input notation: (-1+z[1])*(z[2]-1)*(-q^2*z[1]*z[2]^2*z[3]^2*z[4]^3*z[5]^2-q^2*z[1]*z[2]^2*z[3]^ 2*z[4]^2*z[5]^2+q^2*z[1]^2*z[2]*z[3]^2*z[4]^2*z[5]-q^2*z[1]*z[2]^2*z[3]^2*z[4]^ 2*z[5]+q^2*z[1]*z[2]*z[3]^2*z[4]^2*z[5]-q*z[1]*z[2]^2*z[3]^2*z[4]^2*z[5]+q^2*z[ 2]*z[3]^2*z[4]^2*z[5]-q*z[2]^2*z[3]^2*z[4]^2*z[5]+q*z[1]*z[2]*z[3]*z[4]^2*z[5]+ q*z[1]*z[2]*z[3]*z[4]*z[5]+q*z[2]*z[3]*z[4]^2*z[5]+q*z[2]*z[3]*z[4]*z[5]-q*z[1] *z[3]*z[4]+z[2]^2*z[3]*z[4]-q*z[3]*z[4]+z[2]*z[3]*z[4]-z[4]-1)*z[3]/(q*z[3]*z[4 ]*z[5]-1)/(q*z[1]*z[3]*z[4]*z[5]-1)/(q^2*z[1]*z[3]*z[4]*z[5]-1)/(q*z[2]*z[3]*z[ 4]*z[5]-1) 3 x[1] For the coeff., ----- 3 x[2] we have: 9 2 6 6 6 5 - (-1 + z[1]) (q z[1] z[2] z[3] z[4] z[5] 9 2 6 6 5 5 9 2 6 6 4 6 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 9 2 6 6 4 5 9 2 6 4 6 5 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 9 2 6 3 6 6 9 2 6 4 5 5 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 9 2 6 4 4 6 9 2 6 3 6 5 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 8 2 5 6 5 5 8 2 5 5 6 5 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 9 2 6 4 4 5 9 2 6 3 4 6 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 9 6 6 4 4 8 2 6 6 4 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 8 2 5 5 6 4 8 2 5 5 4 6 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 9 2 6 3 4 5 9 6 3 6 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 8 2 6 3 6 4 8 2 5 6 4 4 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 8 2 5 5 4 5 8 2 5 5 3 6 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 8 2 5 4 6 4 8 2 5 4 5 5 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 8 2 5 3 5 6 8 5 6 5 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 2 5 6 5 4 9 6 4 4 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 9 6 3 3 6 8 2 6 4 4 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 8 2 6 3 3 6 8 2 5 5 4 4 - q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 8 2 5 4 3 6 8 2 5 3 6 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 8 2 5 3 4 6 8 2 5 2 5 6 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 8 6 5 4 4 8 5 6 4 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 8 5 6 3 5 8 5 5 5 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 2 6 5 4 4 7 2 5 6 4 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 2 5 6 3 5 7 2 4 5 5 5 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 9 6 3 4 4 8 2 6 3 4 4 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 8 2 5 5 3 4 8 2 5 4 4 4 + q z[1] z[2] z[3] z[4] z[5] - 2 q z[1] z[2] z[3] z[4] z[5] 8 2 5 3 5 4 8 2 5 3 3 6 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 8 2 5 2 4 6 8 6 4 4 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 8 6 3 5 4 8 5 6 4 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 8 5 5 4 4 8 5 5 3 5 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 8 5 2 6 5 7 2 6 4 4 4 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 2 6 3 5 4 7 2 5 6 4 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 2 5 2 6 5 7 2 4 5 5 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 2 4 5 4 5 7 2 4 4 6 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 2 4 4 5 5 7 5 5 5 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 9 6 3 3 4 8 2 6 3 3 4 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 8 2 5 4 3 4 8 2 5 3 4 4 - q z[1] z[2] z[3] z[4] z[5] - 2 q z[1] z[2] z[3] z[4] z[5] 8 2 5 2 5 4 8 6 3 4 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 8 6 3 3 5 8 5 5 4 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 8 5 4 4 4 8 5 3 6 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 8 5 3 5 4 8 5 2 5 5 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 2 6 3 4 4 7 2 6 3 3 5 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 2 5 5 4 3 7 2 5 5 3 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 2 5 4 4 4 7 2 5 3 6 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 2 4 4 3 6 7 2 4 3 6 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 5 5 4 4 7 5 5 3 5 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 4 6 4 4 7 4 5 5 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 2 4 6 4 4 6 2 4 5 5 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 8 2 5 3 3 4 8 2 5 2 4 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 8 6 3 3 4 8 5 5 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 8 5 4 4 3 8 5 4 3 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 8 5 3 5 3 8 5 3 4 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 8 5 3 3 5 8 5 3 2 6 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 8 5 2 5 4 8 5 2 3 6 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 2 6 3 3 4 7 2 5 5 3 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 2 5 4 4 3 7 2 5 4 3 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 2 5 3 5 3 7 2 5 3 2 6 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 2 5 2 3 6 7 2 4 5 4 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 2 4 5 3 4 7 2 4 4 4 4 - q z[1] z[2] z[3] z[4] z[5] - 2 q z[1] z[2] z[3] z[4] z[5] 7 2 4 3 5 4 7 2 4 3 3 6 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 2 4 2 4 6 7 5 5 4 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 5 4 4 4 7 5 3 5 4 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 5 2 5 5 7 4 5 5 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 4 5 4 4 7 4 5 3 5 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 4 4 5 4 6 2 5 5 4 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 2 5 5 3 4 6 2 5 4 4 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 2 4 5 5 3 6 2 4 5 3 5 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 9 6 3 3 3 8 6 3 3 3 + q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 8 5 4 3 3 8 5 3 4 3 + q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 8 5 3 2 5 8 5 2 5 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 8 5 2 3 5 8 5 5 3 3 + q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 7 2 5 4 3 3 7 2 5 3 4 3 - q z[1] z[2] z[3] z[4] z[5] - 2 q z[1] z[2] z[3] z[4] z[5] 7 2 5 3 3 4 7 2 5 3 2 5 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 2 5 2 5 3 7 2 4 5 3 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 2 4 4 3 4 7 2 4 3 5 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 2 4 3 3 5 7 2 4 2 3 6 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 5 5 3 3 7 5 3 5 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 5 3 4 4 7 5 3 3 5 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 4 5 3 4 7 4 5 2 5 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 4 4 5 3 7 4 4 4 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 4 4 3 5 7 4 2 6 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 4 2 5 5 6 2 5 3 5 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 2 5 2 5 4 6 2 4 5 3 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 2 4 5 2 5 6 2 4 4 4 4 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 2 4 2 6 4 6 2 4 2 5 5 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 2 3 4 5 4 6 2 3 4 4 5 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 5 4 4 6 4 4 5 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 8 5 3 3 3 8 5 3 2 4 + 2 q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 8 5 2 4 3 8 5 2 5 3 + q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 7 2 5 3 3 3 7 2 5 3 2 4 - 2 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 2 5 2 4 3 7 2 5 2 3 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 2 4 3 4 3 7 2 4 3 3 4 + q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 7 2 4 3 2 5 7 2 4 2 5 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 2 4 2 3 5 7 6 3 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 5 3 4 3 7 5 3 2 5 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 5 2 5 3 7 4 5 4 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 4 5 3 3 7 4 5 2 4 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 4 4 4 3 7 4 4 2 5 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 4 3 5 3 7 4 3 4 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 4 2 4 5 7 4 5 5 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 4 5 4 3 6 2 6 3 3 3 + q z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 2 5 3 4 3 6 2 5 3 3 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 2 5 3 2 5 6 2 5 2 3 5 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 2 4 5 4 2 6 2 4 5 2 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 2 4 4 4 3 6 2 4 4 3 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 2 4 5 5 6 2 3 4 4 4 - q z[1] z[2] z[3] z[4] z[5] - 2 q z[1] z[2] z[3] z[4] z[5] 6 4 5 4 3 6 4 4 5 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 4 4 3 5 6 3 5 4 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 3 5 4 4 8 5 3 2 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 8 5 2 3 3 8 5 3 3 3 + q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 8 5 2 2 5 7 2 5 3 2 3 - q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 2 5 2 3 3 7 2 4 3 3 3 - q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 7 2 4 3 2 4 7 2 4 2 3 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 5 3 3 3 7 5 2 2 5 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 4 5 3 2 7 4 4 3 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 4 3 5 2 7 4 3 4 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 4 3 2 5 7 4 2 5 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 4 2 3 5 7 4 2 2 6 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 4 4 5 7 5 4 3 3 + q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 7 4 5 3 3 7 4 5 2 4 - q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 6 2 5 3 3 3 6 2 5 2 3 4 - 2 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 2 4 5 3 2 6 2 4 4 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 2 4 3 5 2 6 2 4 3 4 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 2 4 2 2 6 6 2 3 4 4 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 2 3 2 5 4 6 5 4 3 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 4 5 3 3 6 4 5 2 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 4 4 3 6 4 4 2 5 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 4 3 5 3 6 4 3 4 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 2 4 5 6 3 5 4 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 3 5 3 4 6 3 4 5 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 3 4 4 4 5 2 4 5 3 3 - 2 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 4 4 4 3 5 2 4 4 3 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 3 5 4 3 5 2 3 5 3 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 3 4 5 3 5 2 3 4 4 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 8 5 3 3 2 8 5 3 2 3 - q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 7 2 4 2 3 3 7 5 3 3 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 5 3 2 3 7 5 2 3 3 + 2 q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 4 4 2 3 7 4 3 4 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 4 3 5 7 4 2 5 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 4 2 4 3 7 4 3 5 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 5 3 3 3 7 5 2 4 3 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 7 4 5 3 2 7 4 5 4 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 6 2 5 3 2 3 6 2 5 2 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 2 4 3 4 2 6 2 4 3 3 3 + q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 6 2 4 3 5 6 2 4 2 5 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 2 4 2 2 5 6 2 3 4 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 2 3 4 2 4 6 2 3 3 4 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 2 3 3 3 4 6 5 3 3 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 5 2 4 3 6 4 5 3 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 4 4 2 6 4 4 3 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 4 2 4 6 4 3 4 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 4 3 2 5 6 4 2 4 4 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 4 2 3 5 6 4 5 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 4 5 6 3 4 4 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 3 4 2 5 6 3 3 5 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 3 3 4 4 6 3 2 5 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 4 4 3 5 2 4 4 4 2 + q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 4 4 3 3 5 2 4 4 2 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 4 3 4 3 5 2 4 2 5 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 4 2 4 4 5 2 3 4 3 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 3 4 2 5 5 2 3 2 5 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 4 4 4 8 5 3 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 8 5 2 3 2 7 5 3 2 2 - q z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 5 2 3 2 7 4 3 3 2 + q z[1] z[2] z[3] z[4] z[5] - 2 q z[1] z[2] z[3] z[4] z[5] 7 4 3 2 3 7 4 2 2 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 4 4 3 7 5 2 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 7 5 2 2 4 7 4 4 3 2 - q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 7 4 4 2 3 7 4 3 3 3 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 7 4 2 5 2 6 2 4 3 3 2 + q z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 6 2 4 3 2 3 6 2 4 2 3 3 + 2 q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 6 2 4 2 2 4 6 2 3 4 3 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 2 3 2 2 5 6 5 3 3 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 5 3 2 3 6 5 2 2 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 4 4 3 2 6 4 4 2 3 - q z[1] z[2] z[3] z[4] z[5] - 2 q z[1] z[2] z[3] z[4] z[5] 6 4 2 5 2 6 4 2 4 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 4 4 6 4 3 5 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 3 4 4 2 6 3 4 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 3 4 2 4 6 3 3 4 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 3 3 2 5 6 3 2 5 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 3 5 4 6 3 4 5 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 4 3 3 6 4 4 2 4 - q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 6 3 5 3 3 6 3 4 4 3 - q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 5 2 5 3 3 2 5 2 5 3 2 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 5 2 3 3 5 2 4 3 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 4 2 2 5 5 2 4 4 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 3 4 4 2 5 2 3 4 3 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 3 4 2 4 5 2 3 3 4 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 3 5 4 5 2 3 4 5 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 2 3 4 4 5 3 5 3 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 4 3 4 5 3 3 5 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 3 3 4 4 7 4 3 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 4 3 3 7 4 2 3 2 - q z[1] z[2] z[3] z[4] z[5] - 2 q z[1] z[2] z[3] z[4] z[5] 7 4 2 2 3 7 5 2 2 3 - q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 7 4 4 2 2 7 4 3 3 2 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 7 4 3 2 3 7 4 2 4 2 - q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 7 4 2 5 7 4 2 5 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 6 2 4 3 2 2 6 2 4 3 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 2 4 2 3 2 6 2 4 2 2 3 + 2 q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 6 2 4 3 3 6 2 3 3 3 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 2 3 3 2 3 6 2 3 2 4 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 2 3 2 3 3 6 5 3 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 5 2 3 2 6 4 4 2 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 3 2 3 6 4 3 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 4 2 4 2 6 4 2 5 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 4 3 6 4 2 5 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 3 4 2 3 6 3 4 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 3 3 4 2 6 3 3 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 3 2 4 3 6 3 2 2 5 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 3 3 5 6 4 4 3 2 - q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 6 4 3 3 3 6 4 2 4 3 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 6 4 4 4 6 3 4 4 2 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 6 3 4 2 4 5 2 5 3 2 2 - q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 5 2 3 2 5 2 5 2 2 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 4 3 3 2 5 2 4 3 2 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 4 3 4 5 2 4 2 3 3 - q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 5 2 3 4 3 2 5 2 3 4 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 3 3 4 2 5 2 3 3 3 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 2 3 3 4 5 2 2 2 4 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 4 4 3 2 5 4 4 2 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 4 3 3 3 5 3 4 4 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 4 3 3 5 3 4 2 4 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 3 2 5 5 3 2 5 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 4 4 3 5 2 4 3 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 4 3 3 4 2 2 4 4 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 2 4 3 4 7 4 2 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 4 2 3 2 7 4 2 4 - q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 7 4 4 2 6 2 4 2 2 2 + q z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 2 3 2 3 2 6 2 3 2 2 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 3 2 2 6 4 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 2 2 3 6 4 2 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 4 2 6 3 4 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 3 4 2 2 6 3 3 2 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 3 2 4 2 6 3 2 2 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 3 2 5 6 3 2 5 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 4 2 4 2 6 4 2 3 3 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 6 4 2 2 4 6 3 4 2 3 - q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 6 3 4 4 6 3 3 3 3 - q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 6 3 5 3 6 3 4 4 - q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 5 2 4 3 2 2 5 2 4 3 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 4 2 3 2 5 2 4 2 2 3 + q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 5 2 4 3 3 5 2 3 4 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 3 2 5 5 2 2 3 2 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 4 2 4 2 5 4 4 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 3 4 2 3 5 3 4 4 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 3 4 2 5 3 3 2 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 3 2 2 5 5 3 5 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 4 4 5 3 3 5 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 4 3 3 5 2 3 4 3 + q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 5 2 3 3 4 5 3 4 3 3 + q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 5 3 3 4 3 4 2 3 4 3 2 - q z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 4 2 3 4 2 3 3 4 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 3 3 3 4 2 3 3 2 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 2 4 3 4 2 2 4 3 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 2 3 4 3 7 4 3 2 - q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 7 4 3 2 7 4 2 3 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 7 4 2 2 2 6 4 3 2 + q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 3 2 6 4 2 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 2 2 2 6 3 3 3 - 2 q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 3 3 2 2 6 3 2 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 3 2 2 3 6 3 2 4 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 3 4 2 6 3 2 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 4 2 3 2 6 4 2 4 - q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 6 3 4 3 6 3 4 3 - q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 6 3 3 3 2 6 3 3 2 3 - q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 6 3 4 4 5 2 4 2 2 2 - q z[2] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 3 3 3 5 2 3 3 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 3 2 4 5 2 3 2 3 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 3 2 2 3 5 2 2 3 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 4 3 2 2 5 4 2 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 4 2 4 5 3 4 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 4 2 2 5 3 4 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 3 2 3 5 3 2 4 2 + 2 q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 2 2 4 5 3 4 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 3 3 4 5 3 2 5 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 4 4 5 2 3 3 3 + q z[1] z[2] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 4 4 5 3 3 4 2 + q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 5 3 3 2 4 5 2 4 3 3 - q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 4 2 4 3 2 2 4 2 4 2 3 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 4 2 2 3 4 2 3 3 3 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 4 3 4 2 3 3 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 2 3 3 3 4 2 2 4 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 4 3 3 4 2 3 4 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 3 4 7 4 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 6 4 2 2 6 3 3 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 3 2 3 6 3 2 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 3 3 2 6 4 2 2 2 + q z[1] z[2] z[3] z[4] z[5] - 2 q z[2] z[3] z[4] z[5] 6 3 4 2 6 3 3 2 2 - q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 6 3 2 4 6 3 2 3 2 - q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 6 3 5 5 2 3 3 2 - q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 3 2 3 5 2 3 2 2 2 - q z[1] z[2] z[3] z[4] z[5] - 3 q z[1] z[2] z[3] z[4] z[5] 5 2 3 2 3 5 2 3 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 3 2 3 5 4 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 4 3 2 5 4 2 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 4 2 2 2 5 4 2 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 4 3 2 5 3 4 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 3 2 2 5 3 3 3 + 2 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 3 2 4 5 3 2 3 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 2 2 3 5 3 4 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 2 4 5 3 5 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 3 3 2 5 2 3 4 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 4 3 5 3 3 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 5 3 3 4 5 3 2 4 2 - q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 5 3 2 3 3 5 3 3 4 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 5 2 4 3 2 5 2 4 2 3 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 5 2 3 4 2 5 2 3 3 3 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 4 2 4 3 2 4 2 4 3 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 4 2 3 4 2 4 2 2 2 + q z[1] z[2] z[3] z[4] z[5] + 3 q z[1] z[2] z[3] z[4] z[5] 4 2 4 2 3 4 2 4 3 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 4 2 3 4 2 3 3 2 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 3 3 3 4 2 3 2 3 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 3 2 2 3 4 2 3 2 4 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 2 3 4 4 3 4 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 3 3 3 2 4 3 3 2 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 4 3 2 4 2 4 2 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 3 4 2 4 2 3 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 3 2 2 6 3 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 4 2 2 6 4 2 2 - q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 6 3 2 3 6 3 2 2 2 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 6 3 2 4 6 3 4 - q z[2] z[3] z[5] - q z[2] z[3] z[4] z[5] 6 3 4 5 2 3 2 2 - q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 3 2 2 5 2 3 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 2 2 2 2 5 4 2 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 3 3 2 5 3 2 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 3 2 2 2 5 3 2 4 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[5] 5 3 4 5 3 3 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 4 5 2 3 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 3 2 2 5 2 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 2 3 2 5 2 2 2 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 3 3 3 5 3 3 2 2 - q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 5 3 3 3 5 3 2 3 2 - q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 5 3 2 4 5 3 3 3 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 5 3 2 4 5 3 3 4 + q z[2] z[3] z[4] z[5] - q z[2] z[4] z[5] 5 2 3 2 3 5 2 3 4 - q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 5 2 4 3 4 2 4 2 2 + q z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 4 2 2 4 2 4 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 3 2 4 2 3 2 2 2 - q z[1] z[2] z[3] z[4] z[5] - 2 q z[1] z[2] z[3] z[4] z[5] 4 2 3 2 3 4 2 3 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 3 2 3 4 2 2 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 3 3 3 4 3 3 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 3 3 3 4 3 2 3 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 3 4 2 4 3 3 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 2 3 4 2 3 4 + 2 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 4 3 4 3 3 3 - 2 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 3 3 3 3 2 2 3 3 2 + q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 2 3 2 3 3 2 3 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 3 3 6 3 3 - q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 5 3 3 5 3 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 2 2 5 3 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 3 2 5 2 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 3 3 2 5 3 2 2 2 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 5 3 3 2 5 3 3 3 5 3 2 4 + q z[2] z[3] z[4] z[5] - q z[2] z[4] z[5] + q z[2] z[4] z[5] 5 2 3 3 5 2 3 2 2 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 5 2 3 3 5 2 2 3 2 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 5 2 4 3 5 2 3 4 + q z[2] z[4] z[5] + q z[2] z[4] z[5] 4 2 3 2 2 4 2 3 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 3 2 2 4 3 4 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 3 3 3 4 2 3 3 + q z[1] z[2] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 3 2 2 4 2 3 3 + q z[1] z[2] z[3] z[4] z[5] - 2 q z[1] z[2] z[3] z[4] z[5] 4 2 2 3 2 4 2 2 2 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 3 3 4 2 4 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[4] z[5] 4 2 3 4 4 2 3 3 - q z[1] z[2] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 3 3 2 4 2 3 2 3 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 4 2 2 4 2 4 2 2 3 3 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 3 2 3 2 2 2 3 2 2 3 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 2 2 3 2 3 2 2 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 3 2 2 6 3 2 - q z[2] z[3] z[4] - q z[2] z[3] z[4] z[5] 5 3 2 2 5 3 2 + q z[1] z[2] z[3] z[4] + q z[1] z[2] z[3] z[4] z[5] 5 2 3 5 3 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 5 3 2 3 5 3 3 2 5 2 3 2 - q z[2] z[3] z[5] + q z[2] z[4] z[5] + q z[2] z[3] z[4] z[5] 5 2 3 3 5 2 2 3 + q z[2] z[3] z[5] + q z[2] z[3] z[4] z[5] 5 2 2 2 2 4 2 2 2 2 + q z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 2 2 2 4 2 2 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 3 3 4 3 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 3 2 2 4 3 2 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[5] 4 3 3 4 3 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 2 4 2 3 3 - 2 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[5] 4 2 2 3 4 2 2 2 2 - q z[1] z[2] z[3] z[4] z[5] - 2 q z[1] z[2] z[3] z[4] z[5] 4 2 2 3 4 2 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 2 3 4 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 2 2 4 2 2 4 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 4 2 4 2 4 3 3 2 - q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 4 3 2 3 3 2 3 3 - q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 3 2 2 3 2 3 2 2 - 2 q z[1] z[2] z[3] z[4] z[5] - 2 q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 3 2 3 2 2 - q z[1] z[2] z[3] z[4] z[5] - 2 q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 3 2 2 2 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 2 2 3 3 2 3 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 3 3 2 3 3 2 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 5 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 3 2 5 3 2 2 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[5] 5 3 2 5 3 2 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 5 2 3 2 5 2 4 + q z[2] z[3] z[4] + q z[2] z[3] z[5] 4 2 2 2 4 2 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 2 2 4 3 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] 4 3 2 4 3 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 2 4 2 2 2 - q z[1] z[2] z[3] z[4] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 4 2 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[5] 4 2 3 4 2 2 3 + q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 4 2 2 2 2 4 2 2 3 - q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 4 2 4 4 2 2 4 - q z[2] z[3] z[4] z[5] + q z[2] z[4] z[5] 4 3 2 2 4 2 3 2 - q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 3 2 3 2 2 3 2 3 2 - q z[1] z[2] z[3] z[4] - 2 q z[1] z[2] z[3] z[4] z[5] 3 2 3 2 2 3 2 3 2 - q z[1] z[2] z[3] z[5] - 2 q z[1] z[2] z[3] z[4] z[5] 3 2 3 2 3 2 3 2 2 - 2 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[4] z[5] 3 2 2 2 2 3 2 2 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 3 2 3 2 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 2 3 3 2 2 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 2 3 3 2 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 3 2 2 3 2 3 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 2 3 3 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 5 2 2 2 5 2 3 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] + q z[2] z[3] z[4] 4 2 2 2 4 2 2 + q z[1] z[2] z[3] z[4] - q z[1] z[2] z[3] z[4] z[5] 4 2 3 4 2 2 - q z[1] z[2] z[3] z[4] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 4 2 2 2 - q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 4 2 2 2 4 2 3 - q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 4 2 3 4 2 3 2 4 2 2 3 - q z[2] z[3] z[4] z[5] + q z[2] z[4] z[5] + q z[2] z[4] z[5] 4 2 4 4 2 2 2 4 3 3 - q z[2] z[4] z[5] + q z[2] z[3] z[4] z[5] - q z[2] z[4] z[5] 3 2 3 3 2 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 2 2 3 2 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 2 2 3 2 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[4] z[5] 3 2 2 3 3 2 2 2 - q z[1] z[2] z[4] z[5] - 2 q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 3 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[4] z[5] 3 2 3 2 3 2 2 3 - q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 2 2 2 2 2 5 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] 4 2 2 4 2 2 - q z[1] z[2] z[3] z[4] - q z[2] z[3] z[4] z[5] 4 2 2 2 4 2 2 4 2 3 + q z[2] z[3] z[5] + q z[2] z[3] z[4] z[5] - q z[2] z[4] z[5] 4 2 3 4 2 3 3 2 2 2 - q z[2] z[4] z[5] - q z[2] z[3] z[5] - q z[1] z[2] z[3] z[5] 3 2 3 3 2 2 - q z[1] z[2] z[3] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 2 2 2 + q z[1] z[2] z[3] z[5] - 2 q z[2] z[3] z[4] z[5] 2 2 2 2 2 2 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 4 2 2 + q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[5] 4 2 2 4 2 2 3 2 - q z[2] z[4] z[5] - q z[2] z[3] z[4] - q z[1] z[2] z[3] z[4] z[5] 3 2 2 3 2 2 - q z[1] z[2] z[3] z[4] - q z[1] z[2] z[3] z[4] 3 2 3 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] 3 2 2 3 3 2 3 2 2 2 - q z[2] z[3] z[4] z[5] + q z[2] z[4] z[5] + q z[3] z[4] z[5] 2 2 2 2 2 2 2 2 + q z[1] z[2] z[3] z[4] + q z[1] z[2] z[3] z[5] 2 2 2 2 2 2 2 + q z[1] z[2] z[3] z[4] + 3 q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 2 2 + q z[1] z[2] z[3] z[5] + q z[1] z[2] z[4] z[5] 2 2 2 2 2 2 2 + q z[1] z[2] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[3] z[4] z[5] 4 2 4 2 3 2 2 - q z[2] z[3] z[4] - q z[2] z[3] z[5] + q z[2] z[3] z[5] 3 2 3 2 2 2 2 2 + q z[2] z[3] z[4] z[5] - q z[2] z[4] z[5] + q z[1] z[2] z[3] z[4] 2 2 2 2 2 2 + q z[1] z[2] z[3] z[5] + q z[1] z[2] z[4] z[5] 2 2 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[4] z[5] 3 2 3 3 2 + q z[2] z[3] z[4] + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[5] 3 3 2 2 2 + q z[2] z[5] - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[5] 2 2 2 3 3 2 + q z[3] z[4] z[5] - q z[2] z[3] z[4] + q z[2] z[4] 2 2 2 2 2 2 + q z[1] z[2] z[3] z[4] + q z[3] z[4] z[5] - q z[4] z[5] 2 2 2 - q z[1] z[2] z[3] z[4] - q z[1] z[2] z[3] z[5] - q z[1] z[2] z[4] z[5] 3 2 2 2 2 + q z[2] z[3] + q z[3] z[4] z[5] - q z[3] z[5] - q z[1] z[2] z[3] 2 2 - q z[1] z[2] z[4] - q z[1] z[2] z[5] - q z[1] z[3] z[4] z[5] 2 2 / - q z[3] z[4] + z[1] ) / ((q z[2] z[4] z[5] - 1) (q z[2] z[5] - 1) / (q z[2] z[4] - 1) (q z[2] z[3] z[5] - 1) (q z[2] z[3] - 1) 3 (q z[2] z[3] z[4] - 1) (q z[2] z[3] z[4] z[5] - 1) 2 (q z[2] z[3] z[4] z[5] - 1) (q z[2] z[3] z[4] z[5] - 1)) and in Maple input notation: -(-1+z[1])*(q^9*z[1]^2*z[2]^6*z[3]^6*z[4]^6*z[5]^5-q^9*z[1]^2*z[2]^6*z[3]^6*z[4 ]^5*z[5]^5+q^9*z[1]^2*z[2]^6*z[3]^6*z[4]^4*z[5]^6-q^9*z[1]^2*z[2]^6*z[3]^6*z[4] ^4*z[5]^5-q^9*z[1]^2*z[2]^6*z[3]^4*z[4]^6*z[5]^5+q^9*z[1]^2*z[2]^6*z[3]^3*z[4]^ 6*z[5]^6+q^9*z[1]^2*z[2]^6*z[3]^4*z[4]^5*z[5]^5-q^9*z[1]^2*z[2]^6*z[3]^4*z[4]^4 *z[5]^6-q^9*z[1]^2*z[2]^6*z[3]^3*z[4]^6*z[5]^5-q^8*z[1]^2*z[2]^5*z[3]^6*z[4]^5* z[5]^5-q^8*z[1]^2*z[2]^5*z[3]^5*z[4]^6*z[5]^5+q^9*z[1]^2*z[2]^6*z[3]^4*z[4]^4*z [5]^5-q^9*z[1]^2*z[2]^6*z[3]^3*z[4]^4*z[5]^6+q^9*z[1]*z[2]^6*z[3]^6*z[4]^4*z[5] ^4-q^8*z[1]^2*z[2]^6*z[3]^6*z[4]^4*z[5]^4-q^8*z[1]^2*z[2]^5*z[3]^5*z[4]^6*z[5]^ 4-q^8*z[1]^2*z[2]^5*z[3]^5*z[4]^4*z[5]^6+q^9*z[1]^2*z[2]^6*z[3]^3*z[4]^4*z[5]^5 +q^9*z[1]*z[2]^6*z[3]^3*z[4]^6*z[5]^4-q^8*z[1]^2*z[2]^6*z[3]^3*z[4]^6*z[5]^4+q^ 8*z[1]^2*z[2]^5*z[3]^6*z[4]^4*z[5]^4+q^8*z[1]^2*z[2]^5*z[3]^5*z[4]^4*z[5]^5-q^8 *z[1]^2*z[2]^5*z[3]^5*z[4]^3*z[5]^6+q^8*z[1]^2*z[2]^5*z[3]^4*z[4]^6*z[5]^4+q^8* z[1]^2*z[2]^5*z[3]^4*z[4]^5*z[5]^5-q^8*z[1]^2*z[2]^5*z[3]^3*z[4]^5*z[5]^6-q^8*z [1]*z[2]^5*z[3]^6*z[4]^5*z[5]^4+q^7*z[1]^2*z[2]^5*z[3]^6*z[4]^5*z[5]^4-q^9*z[1] *z[2]^6*z[3]^4*z[4]^4*z[5]^4+q^9*z[1]*z[2]^6*z[3]^3*z[4]^3*z[5]^6+q^8*z[1]^2*z[ 2]^6*z[3]^4*z[4]^4*z[5]^4-q^8*z[1]^2*z[2]^6*z[3]^3*z[4]^3*z[5]^6+2*q^8*z[1]^2*z [2]^5*z[3]^5*z[4]^4*z[5]^4+q^8*z[1]^2*z[2]^5*z[3]^4*z[4]^3*z[5]^6+q^8*z[1]^2*z[ 2]^5*z[3]^3*z[4]^6*z[5]^4+q^8*z[1]^2*z[2]^5*z[3]^3*z[4]^4*z[5]^6-q^8*z[1]^2*z[2 ]^5*z[3]^2*z[4]^5*z[5]^6+q^8*z[1]*z[2]^6*z[3]^5*z[4]^4*z[5]^4+q^8*z[1]*z[2]^5*z [3]^6*z[4]^4*z[5]^4-q^8*z[1]*z[2]^5*z[3]^6*z[4]^3*z[5]^5-q^8*z[1]*z[2]^5*z[3]^5 *z[4]^5*z[5]^4-q^7*z[1]^2*z[2]^6*z[3]^5*z[4]^4*z[5]^4-q^7*z[1]^2*z[2]^5*z[3]^6* z[4]^4*z[5]^4+q^7*z[1]^2*z[2]^5*z[3]^6*z[4]^3*z[5]^5+q^7*z[1]^2*z[2]^4*z[3]^5*z [4]^5*z[5]^5-q^9*z[1]*z[2]^6*z[3]^3*z[4]^4*z[5]^4+q^8*z[1]^2*z[2]^6*z[3]^3*z[4] ^4*z[5]^4+q^8*z[1]^2*z[2]^5*z[3]^5*z[4]^3*z[5]^4-2*q^8*z[1]^2*z[2]^5*z[3]^4*z[4 ]^4*z[5]^4+q^8*z[1]^2*z[2]^5*z[3]^3*z[4]^5*z[5]^4+q^8*z[1]^2*z[2]^5*z[3]^3*z[4] ^3*z[5]^6+q^8*z[1]^2*z[2]^5*z[3]^2*z[4]^4*z[5]^6-q^8*z[1]*z[2]^6*z[3]^4*z[4]^4* z[5]^4+q^8*z[1]*z[2]^6*z[3]^3*z[4]^5*z[5]^4-q^8*z[1]*z[2]^5*z[3]^6*z[4]^4*z[5]^ 3+q^8*z[1]*z[2]^5*z[3]^5*z[4]^4*z[5]^4-q^8*z[1]*z[2]^5*z[3]^5*z[4]^3*z[5]^5-q^8 *z[1]*z[2]^5*z[3]^2*z[4]^6*z[5]^5+q^7*z[1]^2*z[2]^6*z[3]^4*z[4]^4*z[5]^4-q^7*z[ 1]^2*z[2]^6*z[3]^3*z[4]^5*z[5]^4+q^7*z[1]^2*z[2]^5*z[3]^6*z[4]^4*z[5]^3+q^7*z[1 ]^2*z[2]^5*z[3]^2*z[4]^6*z[5]^5+q^7*z[1]^2*z[2]^4*z[3]^5*z[4]^5*z[5]^4+q^7*z[1] ^2*z[2]^4*z[3]^5*z[4]^4*z[5]^5+q^7*z[1]^2*z[2]^4*z[3]^4*z[4]^6*z[5]^4+q^7*z[1]^ 2*z[2]^4*z[3]^4*z[4]^5*z[5]^5-q^7*z[1]*z[2]^5*z[3]^5*z[4]^5*z[5]^4-q^9*z[1]*z[2 ]^6*z[3]^3*z[4]^3*z[5]^4+q^8*z[1]^2*z[2]^6*z[3]^3*z[4]^3*z[5]^4-q^8*z[1]^2*z[2] ^5*z[3]^4*z[4]^3*z[5]^4-2*q^8*z[1]^2*z[2]^5*z[3]^3*z[4]^4*z[5]^4+q^8*z[1]^2*z[2 ]^5*z[3]^2*z[4]^5*z[5]^4-q^8*z[1]*z[2]^6*z[3]^3*z[4]^4*z[5]^4+q^8*z[1]*z[2]^6*z [3]^3*z[4]^3*z[5]^5-q^8*z[1]*z[2]^5*z[3]^5*z[4]^4*z[5]^3-q^8*z[1]*z[2]^5*z[3]^4 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3*z[4]^4*z[5]^4+q^8*z[1]*z[2]^5*z[3]^3*z[4]^3*z[5]^5-q^8*z[1]*z[2]^5*z[3]^3*z[4 ]^2*z[5]^6+q^8*z[1]*z[2]^5*z[3]^2*z[4]^5*z[5]^4-q^8*z[1]*z[2]^5*z[3]^2*z[4]^3*z [5]^6+q^7*z[1]^2*z[2]^6*z[3]^3*z[4]^3*z[5]^4+q^7*z[1]^2*z[2]^5*z[3]^5*z[4]^3*z[ 5]^3-q^7*z[1]^2*z[2]^5*z[3]^4*z[4]^4*z[5]^3-q^7*z[1]^2*z[2]^5*z[3]^4*z[4]^3*z[5 ]^4+q^7*z[1]^2*z[2]^5*z[3]^3*z[4]^5*z[5]^3+q^7*z[1]^2*z[2]^5*z[3]^3*z[4]^2*z[5] ^6+q^7*z[1]^2*z[2]^5*z[3]^2*z[4]^3*z[5]^6-q^7*z[1]^2*z[2]^4*z[3]^5*z[4]^4*z[5]^ 3-q^7*z[1]^2*z[2]^4*z[3]^5*z[4]^3*z[5]^4-2*q^7*z[1]^2*z[2]^4*z[3]^4*z[4]^4*z[5] ^4-q^7*z[1]^2*z[2]^4*z[3]^3*z[4]^5*z[5]^4-q^7*z[1]^2*z[2]^4*z[3]^3*z[4]^3*z[5]^ 6+q^7*z[1]^2*z[2]^4*z[3]^2*z[4]^4*z[5]^6-q^7*z[1]*z[2]^5*z[3]^5*z[4]^4*z[5]^3-q ^7*z[1]*z[2]^5*z[3]^4*z[4]^4*z[5]^4+q^7*z[1]*z[2]^5*z[3]^3*z[4]^5*z[5]^4-q^7*z[ 1]*z[2]^5*z[3]^2*z[4]^5*z[5]^5+q^7*z[1]*z[2]^4*z[3]^5*z[4]^5*z[5]^3+q^7*z[1]*z[ 2]^4*z[3]^5*z[4]^4*z[5]^4+q^7*z[1]*z[2]^4*z[3]^5*z[4]^3*z[5]^5+q^7*z[1]*z[2]^4* z[3]^4*z[4]^5*z[5]^4+q^6*z[1]^2*z[2]^5*z[3]^5*z[4]^4*z[5]^3+q^6*z[1]^2*z[2]^5*z [3]^5*z[4]^3*z[5]^4+q^6*z[1]^2*z[2]^5*z[3]^4*z[4]^4*z[5]^4-q^6*z[1]^2*z[2]^4*z[ 3]^5*z[4]^5*z[5]^3-q^6*z[1]^2*z[2]^4*z[3]^5*z[4]^3*z[5]^5+q^9*z[2]^6*z[3]^3*z[4 ]^3*z[5]^3-q^8*z[1]*z[2]^6*z[3]^3*z[4]^3*z[5]^3+q^8*z[1]*z[2]^5*z[3]^4*z[4]^3*z [5]^3+2*q^8*z[1]*z[2]^5*z[3]^3*z[4]^4*z[5]^3-q^8*z[1]*z[2]^5*z[3]^3*z[4]^2*z[5] ^5-q^8*z[1]*z[2]^5*z[3]^2*z[4]^5*z[5]^3+q^8*z[1]*z[2]^5*z[3]^2*z[4]^3*z[5]^5-q^ 8*z[2]^5*z[3]^5*z[4]^3*z[5]^3-q^7*z[1]^2*z[2]^5*z[3]^4*z[4]^3*z[5]^3-2*q^7*z[1] ^2*z[2]^5*z[3]^3*z[4]^4*z[5]^3-q^7*z[1]^2*z[2]^5*z[3]^3*z[4]^3*z[5]^4+q^7*z[1]^ 2*z[2]^5*z[3]^3*z[4]^2*z[5]^5+q^7*z[1]^2*z[2]^5*z[3]^2*z[4]^5*z[5]^3-q^7*z[1]^2 *z[2]^4*z[3]^5*z[4]^3*z[5]^3-q^7*z[1]^2*z[2]^4*z[3]^4*z[4]^3*z[5]^4-q^7*z[1]^2* z[2]^4*z[3]^3*z[4]^5*z[5]^3-q^7*z[1]^2*z[2]^4*z[3]^3*z[4]^3*z[5]^5-q^7*z[1]^2*z [2]^4*z[3]^2*z[4]^3*z[5]^6+q^7*z[1]*z[2]^5*z[3]^5*z[4]^3*z[5]^3-q^7*z[1]*z[2]^5 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+q^4*z[2]^2*z[3]^2*z[5]^2+q^4*z[2]^2*z[3]*z[4]*z[5]^2-q^4*z[2]^2*z[4]^3*z[5]-q^ 4*z[2]^2*z[4]*z[5]^3-q^4*z[2]*z[3]^2*z[5]^3-q^3*z[1]*z[2]^2*z[3]^2*z[5]^2-q^3*z [1]*z[2]^2*z[3]*z[5]^3+q^3*z[1]*z[2]*z[3]^2*z[4]^2*z[5]+q^3*z[1]*z[2]*z[3]^2*z[ 5]^3-2*q^3*z[2]*z[3]^2*z[4]^2*z[5]^2+q^2*z[1]^2*z[2]^2*z[3]^2*z[4]*z[5]+q^2*z[1 ]^2*z[2]^2*z[3]*z[4]^2*z[5]+q^2*z[1]^2*z[2]^2*z[3]*z[4]*z[5]^2-q^4*z[2]^2*z[3]^ 2*z[5]-q^4*z[2]^2*z[4]^2*z[5]-q^4*z[2]*z[3]^2*z[4]^2-q^3*z[1]^2*z[2]*z[3]*z[4]* z[5]-q^3*z[1]*z[2]^2*z[3]^2*z[4]-q^3*z[1]*z[2]^2*z[3]*z[4]^2-q^3*z[1]*z[2]^2*z[ 3]*z[4]*z[5]+q^3*z[1]*z[2]*z[3]^2*z[4]^2-q^3*z[2]*z[3]^2*z[4]*z[5]^2+q^3*z[2]*z [4]^3*z[5]^2+q^3*z[3]^2*z[4]^2*z[5]^2+q^2*z[1]^2*z[2]^2*z[3]^2*z[4]+q^2*z[1]^2* z[2]^2*z[3]^2*z[5]+q^2*z[1]^2*z[2]^2*z[3]*z[4]^2+3*q^2*z[1]^2*z[2]^2*z[3]*z[4]* z[5]+q^2*z[1]^2*z[2]^2*z[3]*z[5]^2+q^2*z[1]^2*z[2]^2*z[4]^2*z[5]+q^2*z[1]^2*z[2 ]^2*z[4]*z[5]^2+q^2*z[1]*z[2]*z[3]^2*z[4]^2*z[5]+q^2*z[1]*z[2]*z[3]^2*z[4]*z[5] ^2-q^2*z[1]*z[3]^2*z[4]^2*z[5]^2-q^4*z[2]^2*z[3]*z[4]-q^4*z[2]^2*z[3]*z[5]+q^3* z[2]*z[3]^2*z[5]^2+q^3*z[2]*z[3]*z[4]*z[5]^2-q^3*z[2]*z[4]^2*z[5]^2+q^2*z[1]^2* z[2]^2*z[3]*z[4]+q^2*z[1]^2*z[2]^2*z[3]*z[5]+q^2*z[1]^2*z[2]^2*z[4]*z[5]-q^2*z[ 1]^2*z[2]*z[3]*z[4]*z[5]+q^2*z[1]*z[2]*z[3]^2*z[4]*z[5]+q^2*z[1]*z[2]*z[3]*z[4] ^2*z[5]+q^2*z[1]*z[2]*z[4]^2*z[5]^2+q^3*z[2]*z[3]^2*z[4]+q^3*z[2]*z[3]*z[4]*z[5 ]-q^3*z[2]*z[3]*z[5]^2+q^3*z[2]*z[5]^3-q^2*z[1]*z[2]*z[3]*z[4]*z[5]+q^2*z[1]*z[ 2]*z[3]*z[5]^2+q^2*z[3]*z[4]^2*z[5]^2-q^3*z[2]*z[3]*z[4]+q^3*z[2]*z[4]^2+q^2*z[ 1]*z[2]*z[3]*z[4]+q^2*z[3]*z[4]*z[5]^2-q^2*z[4]^2*z[5]^2-q*z[1]^2*z[2]*z[3]*z[4 ]-q*z[1]^2*z[2]*z[3]*z[5]-q*z[1]^2*z[2]*z[4]*z[5]+q^3*z[2]*z[3]+q^2*z[3]*z[4]*z [5]-q^2*z[3]*z[5]^2-q*z[1]^2*z[2]*z[3]-q*z[1]^2*z[2]*z[4]-q*z[1]^2*z[2]*z[5]-q* z[1]*z[3]*z[4]*z[5]-q^2*z[3]*z[4]+z[1]^2)/(q*z[2]*z[4]*z[5]-1)/(q*z[2]*z[5]-1)/ (q*z[2]*z[4]-1)/(q*z[2]*z[3]*z[5]-1)/(q*z[2]*z[3]-1)/(q*z[2]*z[3]*z[4]-1)/(q^3* z[2]*z[3]*z[4]*z[5]-1)/(q*z[2]*z[3]*z[4]*z[5]-1)/(q^2*z[2]*z[3]*z[4]*z[5]-1) 3 x[1] For the coeff., ---------- 2 x[2] x[3] we have: 7 2 5 5 5 4 7 2 5 4 5 5 (q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 2 5 5 4 4 7 2 5 5 3 5 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 2 5 4 5 4 7 2 5 5 3 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 2 5 4 3 5 7 2 5 4 3 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 5 4 5 3 6 2 5 4 5 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 2 4 4 5 4 7 5 5 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 7 5 4 2 5 6 2 5 5 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 2 5 4 4 3 6 2 5 4 2 5 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 2 5 3 4 4 6 2 4 4 3 5 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 2 4 3 4 5 7 5 4 3 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 2 5 4 2 4 6 2 5 3 4 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 2 4 4 3 4 6 2 4 3 3 5 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 5 4 4 3 6 4 3 5 4 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 5 4 4 3 5 2 4 3 5 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 5 4 2 3 6 2 5 3 2 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 2 4 4 3 3 6 2 4 3 4 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 5 4 3 3 6 5 4 2 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 5 3 3 6 4 4 4 3 + q z[1] z[2] z[3] z[4] z[5] - 2 q z[1] z[2] z[3] z[4] z[5] 6 4 3 4 4 5 2 5 4 3 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 5 4 2 4 5 2 4 5 3 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 4 4 4 3 6 2 5 3 2 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 2 4 3 3 3 6 5 4 2 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 5 3 4 2 6 4 4 3 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 4 4 2 4 6 4 3 4 3 - 2 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 3 2 5 5 2 5 4 2 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 5 3 4 2 5 2 4 4 2 4 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 4 3 4 3 5 2 4 3 2 5 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 3 3 4 4 5 4 4 4 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 4 3 4 4 7 5 4 2 2 + q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 6 5 3 4 6 4 4 3 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 4 2 3 6 4 3 4 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 4 3 2 4 5 2 5 4 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 5 3 4 5 2 4 4 3 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 4 3 4 2 5 2 4 3 2 4 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 4 2 3 4 5 4 4 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 4 4 2 4 4 2 4 3 4 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 5 3 2 2 6 4 3 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 3 4 2 5 2 5 3 2 2 + q z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 4 3 3 2 5 2 4 2 2 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 3 3 3 3 5 5 3 3 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 4 4 2 3 5 4 3 4 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 4 2 4 3 5 3 4 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 3 3 4 3 5 3 2 4 4 + 2 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 5 3 3 2 4 2 4 3 2 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 4 2 4 3 4 2 3 4 3 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 3 4 3 4 2 3 2 4 4 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 5 3 2 6 4 3 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 4 2 2 6 4 3 4 - q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 5 2 5 3 2 5 2 4 2 3 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 5 3 2 2 5 5 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 4 4 2 2 5 4 3 3 2 + q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 5 4 3 4 5 4 2 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 3 4 3 2 5 3 4 2 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 3 3 2 4 5 3 2 3 4 + 2 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 5 3 2 2 4 2 5 3 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 4 3 3 2 4 2 4 3 2 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 4 3 2 4 2 3 4 2 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 3 2 4 4 3 3 4 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 4 2 2 2 5 5 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 4 3 2 2 5 4 3 3 - 2 q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 5 4 2 3 2 5 4 2 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 3 3 3 2 5 3 3 2 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 3 2 2 4 5 4 3 3 2 + q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 5 3 2 4 3 4 2 5 3 2 - q z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 4 3 2 2 4 2 4 3 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 4 2 4 4 2 3 3 3 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 3 2 3 3 4 4 2 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 3 3 2 4 4 3 2 4 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 3 2 3 4 6 5 3 - q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 6 4 3 2 5 5 3 + q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 4 3 2 5 4 2 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 4 2 3 5 3 3 2 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 3 2 3 2 5 4 3 2 2 + q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 5 4 3 3 5 3 4 2 2 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 5 3 3 3 2 4 2 4 3 2 + q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 4 2 3 4 3 4 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 3 3 3 2 4 3 3 2 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 3 2 3 3 4 3 2 2 4 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 4 2 3 2 3 2 3 2 3 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 4 2 2 5 4 3 2 + q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 5 4 2 3 5 3 3 3 - q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 5 3 2 4 4 2 4 2 2 - q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 4 2 2 4 5 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 4 2 3 4 3 3 2 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 3 3 3 4 3 2 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 3 2 4 4 3 3 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 3 2 4 2 3 2 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 2 3 3 4 3 3 3 2 - 2 q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 4 3 2 3 3 3 2 5 3 - q z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 4 2 3 3 2 3 2 3 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 3 3 2 2 3 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 2 3 2 3 3 2 2 2 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 4 2 5 4 3 + q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 5 4 2 3 5 3 3 2 - q z[2] z[3] z[5] + q z[2] z[3] z[4] z[5] 5 3 2 3 4 2 4 2 - q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 4 3 4 4 2 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[5] 4 3 3 2 4 3 2 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 3 2 3 4 3 2 3 - 2 q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 2 2 4 3 3 2 2 + q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 4 3 3 3 3 2 4 2 2 + q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 3 2 2 2 3 2 3 2 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 2 3 2 2 3 2 2 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 4 2 4 3 2 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 3 2 2 4 3 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 2 2 2 4 4 3 + q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 4 4 2 2 4 3 3 2 - q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 4 3 3 2 4 2 3 2 2 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 4 2 2 3 2 4 2 3 3 - q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 3 2 4 2 3 2 3 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 4 3 3 4 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 3 3 2 3 3 2 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 3 2 2 3 2 2 3 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 5 4 2 - q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] 4 4 2 4 3 2 + q z[1] z[2] z[3] z[4] + q z[1] z[2] z[3] z[4] z[5] 4 3 2 4 4 2 - q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 4 4 2 2 4 3 2 2 - q z[2] z[3] z[5] - q z[2] z[3] z[4] z[5] 4 2 3 2 4 2 3 2 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 4 2 2 3 3 4 2 2 - q z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[5] 3 3 2 2 3 3 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 3 3 3 2 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 3 2 3 2 2 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 2 3 3 2 2 3 2 + q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 2 2 4 2 2 2 3 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 4 2 4 3 2 4 3 2 2 + q z[2] z[3] z[5] + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[5] 4 3 3 4 2 2 2 + q z[2] z[3] z[5] - q z[2] z[3] z[4] z[5] 3 2 3 3 4 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] 3 3 2 2 3 3 2 + q z[1] z[2] z[3] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 3 3 3 2 2 2 - q z[1] z[2] z[3] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 2 2 3 2 2 2 + 2 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 3 2 2 3 3 2 2 - q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 3 2 2 3 3 2 2 3 - q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 2 2 4 2 2 2 4 2 - q z[1] z[2] z[3] z[4] - q z[1] z[2] z[3] z[5] 2 2 2 2 2 2 2 2 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 3 2 4 3 2 3 3 2 - q z[2] z[3] z[4] + q z[2] z[3] z[4] + q z[1] z[2] z[3] z[4] 3 3 2 3 3 2 2 - q z[1] z[2] z[3] z[4] - q z[2] z[3] z[5] 3 2 2 2 3 2 2 2 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 3 2 3 2 2 3 - q z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 2 3 2 2 3 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] 3 2 2 3 2 2 2 + q z[2] z[3] z[4] z[5] - q z[2] z[4] z[5] 3 2 2 3 2 2 - q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 3 2 2 2 3 2 + q z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] 2 3 2 2 3 2 + q z[1] z[2] z[3] z[5] - q z[1] z[2] z[3] z[5] 2 2 2 2 2 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[4] z[5] 2 2 2 2 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 2 2 2 3 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[5] 3 2 2 3 - q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] 2 2 2 2 2 - q z[1] z[2] z[3] z[5] + q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 2 3 2 3 3 3 + q z[1] z[2] z[3] z[4] + q z[1] z[2] z[3] z[5] - q z[2] z[3] 3 2 2 2 2 2 2 + q z[2] z[3] z[4] - q z[1] z[2] z[3] z[4] + q z[2] z[3] z[5] 2 2 2 2 3 2 2 - q z[2] z[4] z[5] + q z[1] z[2] z[3] + q z[2] z[3] z[4] 2 2 2 2 2 2 - q z[2] z[4] z[5] + q z[2] z[5] - q z[2] z[3] z[4] z[5] 2 2 2 - q z[1] z[2] z[3] z[4] - q z[1] z[2] z[3] z[5] + q z[1] z[2] z[4] z[5] 2 2 2 2 + q z[2] z[4] - q z[2] z[4] z[5] + q z[3] z[4] z[5] 2 - q z[1] z[2] z[3] + q z[1] z[2] z[4] z[5] - q z[1] z[3] z[4] z[5] 2 2 / - q z[2] z[4] z[5] - z[1] z[2] + z[1] z[2]) (-1 + z[1]) / ( / (q z[2] z[3] z[5] - 1) (q z[2] z[3] - 1) (q z[2] z[3] z[4] - 1) 2 (q z[2] z[3] z[4] z[5] - 1) (q z[2] z[3] z[4] z[5] - 1) 3 (q z[2] z[3] z[4] z[5] - 1) (q z[3] z[4] z[5] - 1)) and in Maple input notation: (q^7*z[1]^2*z[2]^5*z[3]^5*z[4]^5*z[5]^4-q^7*z[1]^2*z[2]^5*z[3]^4*z[4]^5*z[5]^5- q^7*z[1]^2*z[2]^5*z[3]^5*z[4]^4*z[5]^4+q^7*z[1]^2*z[2]^5*z[3]^5*z[4]^3*z[5]^5+q ^7*z[1]^2*z[2]^5*z[3]^4*z[4]^5*z[5]^4-q^7*z[1]^2*z[2]^5*z[3]^5*z[4]^3*z[5]^4+q^ 7*z[1]^2*z[2]^5*z[3]^4*z[4]^3*z[5]^5-q^7*z[1]^2*z[2]^5*z[3]^4*z[4]^3*z[5]^4-q^7 *z[1]*z[2]^5*z[3]^4*z[4]^5*z[5]^3+q^6*z[1]^2*z[2]^5*z[3]^4*z[4]^5*z[5]^3-q^6*z[ 1]^2*z[2]^4*z[3]^4*z[4]^5*z[5]^4+q^7*z[1]*z[2]^5*z[3]^5*z[4]^3*z[5]^3-q^7*z[1]* z[2]^5*z[3]^4*z[4]^2*z[5]^5-q^6*z[1]^2*z[2]^5*z[3]^5*z[4]^3*z[5]^3-q^6*z[1]^2*z [2]^5*z[3]^4*z[4]^4*z[5]^3+q^6*z[1]^2*z[2]^5*z[3]^4*z[4]^2*z[5]^5+q^6*z[1]^2*z[ 2]^5*z[3]^3*z[4]^4*z[5]^4-q^6*z[1]^2*z[2]^4*z[3]^4*z[4]^3*z[5]^5+q^6*z[1]^2*z[2 ]^4*z[3]^3*z[4]^4*z[5]^5+q^7*z[1]*z[2]^5*z[3]^4*z[4]^3*z[5]^3-q^6*z[1]^2*z[2]^5 *z[3]^4*z[4]^2*z[5]^4-q^6*z[1]^2*z[2]^5*z[3]^3*z[4]^4*z[5]^3+q^6*z[1]^2*z[2]^4* z[3]^4*z[4]^3*z[5]^4-q^6*z[1]^2*z[2]^4*z[3]^3*z[4]^3*z[5]^5-q^6*z[1]*z[2]^5*z[3 ]^4*z[4]^4*z[5]^3+q^6*z[1]*z[2]^4*z[3]^3*z[4]^5*z[5]^4+q^5*z[1]^2*z[2]^5*z[3]^4 *z[4]^4*z[5]^3-q^5*z[1]^2*z[2]^4*z[3]^3*z[4]^5*z[5]^4+q^7*z[1]*z[2]^5*z[3]^4*z[ 4]^2*z[5]^3-q^6*z[1]^2*z[2]^5*z[3]^3*z[4]^2*z[5]^4+q^6*z[1]^2*z[2]^4*z[3]^4*z[4 ]^3*z[5]^3-q^6*z[1]^2*z[2]^4*z[3]^3*z[4]^4*z[5]^3+q^6*z[1]*z[2]^5*z[3]^4*z[4]^3 *z[5]^3-q^6*z[1]*z[2]^5*z[3]^4*z[4]^2*z[5]^4+q^6*z[1]*z[2]^4*z[3]^5*z[4]^3*z[5] ^3-2*q^6*z[1]*z[2]^4*z[3]^4*z[4]^4*z[5]^3+q^6*z[1]*z[2]^4*z[3]^3*z[4]^4*z[5]^4- q^5*z[1]^2*z[2]^5*z[3]^4*z[4]^3*z[5]^3+q^5*z[1]^2*z[2]^5*z[3]^4*z[4]^2*z[5]^4-q ^5*z[1]^2*z[2]^4*z[3]^5*z[4]^3*z[5]^3+q^5*z[1]^2*z[2]^4*z[3]^4*z[4]^4*z[5]^3+q^ 6*z[1]^2*z[2]^5*z[3]^3*z[4]^2*z[5]^3+q^6*z[1]^2*z[2]^4*z[3]^3*z[4]^3*z[5]^3+q^6 *z[1]*z[2]^5*z[3]^4*z[4]^2*z[5]^3+q^6*z[1]*z[2]^5*z[3]^3*z[4]^4*z[5]^2+q^6*z[1] *z[2]^4*z[3]^4*z[4]^3*z[5]^3-2*q^6*z[1]*z[2]^4*z[3]^4*z[4]^2*z[5]^4-q^6*z[1]*z[ 2]^4*z[3]^3*z[4]^4*z[5]^3+q^6*z[1]*z[2]^4*z[3]^3*z[4]^2*z[5]^5-q^5*z[1]^2*z[2]^ 5*z[3]^4*z[4]^2*z[5]^3-q^5*z[1]^2*z[2]^5*z[3]^3*z[4]^4*z[5]^2+q^5*z[1]^2*z[2]^4 *z[3]^4*z[4]^2*z[5]^4+q^5*z[1]^2*z[2]^4*z[3]^3*z[4]^4*z[5]^3-q^5*z[1]^2*z[2]^4* z[3]^3*z[4]^2*z[5]^5+q^5*z[1]^2*z[2]^3*z[3]^3*z[4]^4*z[5]^4-q^5*z[1]*z[2]^4*z[3 ]^4*z[4]^4*z[5]^3+q^5*z[1]*z[2]^4*z[3]^3*z[4]^4*z[5]^4-q^7*z[2]^5*z[3]^4*z[4]^2 *z[5]^2+q^6*z[1]*z[2]^5*z[3]^3*z[4]*z[5]^4-q^6*z[1]*z[2]^4*z[3]^4*z[4]^3*z[5]^2 +q^6*z[1]*z[2]^4*z[3]^4*z[4]^2*z[5]^3+q^6*z[1]*z[2]^4*z[3]^3*z[4]^4*z[5]^2-q^6* z[1]*z[2]^4*z[3]^3*z[4]^2*z[5]^4+q^5*z[1]^2*z[2]^5*z[3]^4*z[4]^2*z[5]^2-q^5*z[1 ]^2*z[2]^5*z[3]^3*z[4]*z[5]^4+q^5*z[1]^2*z[2]^4*z[3]^4*z[4]^3*z[5]^2-q^5*z[1]^2 *z[2]^4*z[3]^3*z[4]^4*z[5]^2+q^5*z[1]^2*z[2]^4*z[3]^3*z[4]^2*z[5]^4-q^5*z[1]^2* z[2]^4*z[3]^2*z[4]^3*z[5]^4+q^5*z[1]*z[2]^4*z[3]^4*z[4]^3*z[5]^3-q^5*z[1]*z[2]^ 4*z[3]^4*z[4]^2*z[5]^4-q^4*z[1]^2*z[2]^4*z[3]^3*z[4]^4*z[5]^3-q^6*z[1]*z[2]^5*z [3]^3*z[4]^2*z[5]^2-q^6*z[1]*z[2]^4*z[3]^3*z[4]^3*z[5]^2+q^6*z[2]^4*z[3]^3*z[4] ^4*z[5]^2+q^5*z[1]^2*z[2]^5*z[3]^3*z[4]^2*z[5]^2+q^5*z[1]^2*z[2]^4*z[3]^3*z[4]^ 3*z[5]^2+q^5*z[1]^2*z[2]^4*z[3]^2*z[4]^2*z[5]^4-q^5*z[1]^2*z[2]^3*z[3]^3*z[4]^3 *z[5]^3+q^5*z[1]*z[2]^5*z[3]^3*z[4]^3*z[5]^2+q^5*z[1]*z[2]^4*z[3]^4*z[4]^2*z[5] ^3-q^5*z[1]*z[2]^4*z[3]^3*z[4]^4*z[5]^2-q^5*z[1]*z[2]^4*z[3]^2*z[4]^4*z[5]^3-q^ 5*z[1]*z[2]^3*z[3]^4*z[4]^3*z[5]^3+2*q^5*z[1]*z[2]^3*z[3]^3*z[4]^4*z[5]^3-q^5*z [1]*z[2]^3*z[3]^2*z[4]^4*z[5]^4-q^4*z[1]^2*z[2]^5*z[3]^3*z[4]^3*z[5]^2-q^4*z[1] ^2*z[2]^4*z[3]^3*z[4]^2*z[5]^4+q^4*z[1]^2*z[2]^4*z[3]^2*z[4]^4*z[5]^3+q^4*z[1]^ 2*z[2]^3*z[3]^4*z[4]^3*z[5]^3-q^4*z[1]^2*z[2]^3*z[3]^3*z[4]^4*z[5]^3+q^4*z[1]^2 *z[2]^3*z[3]^2*z[4]^4*z[5]^4-q^6*z[1]*z[2]^5*z[3]^3*z[4]*z[5]^2-q^6*z[1]*z[2]^4 *z[3]^3*z[4]^2*z[5]^2-q^6*z[2]^4*z[3]^4*z[4]^2*z[5]^2+q^6*z[2]^4*z[3]^3*z[4]*z[ 5]^4+q^5*z[1]^2*z[2]^5*z[3]^3*z[4]*z[5]^2+q^5*z[1]^2*z[2]^4*z[3]^2*z[4]^3*z[5]^ 2-q^5*z[1]*z[2]^5*z[3]^3*z[4]^2*z[5]^2+q^5*z[1]*z[2]^5*z[3]^3*z[4]*z[5]^3+q^5*z [1]*z[2]^4*z[3]^4*z[4]^2*z[5]^2+2*q^5*z[1]*z[2]^4*z[3]^3*z[4]^3*z[5]^2-q^5*z[1] *z[2]^4*z[3]^3*z[4]*z[5]^4-q^5*z[1]*z[2]^4*z[3]^2*z[4]^3*z[5]^3-q^5*z[1]*z[2]^3 *z[3]^4*z[4]^3*z[5]^2-q^5*z[1]*z[2]^3*z[3]^4*z[4]^2*z[5]^3+2*q^5*z[1]*z[2]^3*z[ 3]^3*z[4]^2*z[5]^4-q^5*z[1]*z[2]^3*z[3]^2*z[4]^3*z[5]^4+q^4*z[1]^2*z[2]^5*z[3]^ 3*z[4]^2*z[5]^2-q^4*z[1]^2*z[2]^5*z[3]^3*z[4]*z[5]^3-q^4*z[1]^2*z[2]^4*z[3]^3*z [4]^3*z[5]^2+q^4*z[1]^2*z[2]^4*z[3]^3*z[4]^2*z[5]^3+q^4*z[1]^2*z[2]^3*z[3]^4*z[ 4]^3*z[5]^2+q^4*z[1]^2*z[2]^3*z[3]^4*z[4]^2*z[5]^3-q^4*z[1]^2*z[2]^3*z[3]^3*z[4 ]^2*z[5]^4+q^4*z[1]*z[2]^3*z[3]^3*z[4]^4*z[5]^3-q^5*z[1]^2*z[2]^4*z[3]^2*z[4]^2 *z[5]^2-q^5*z[1]*z[2]^5*z[3]^3*z[4]*z[5]^2-2*q^5*z[1]*z[2]^4*z[3]^3*z[4]^2*z[5] ^2+2*q^5*z[1]*z[2]^4*z[3]^3*z[4]*z[5]^3+q^5*z[1]*z[2]^4*z[3]^2*z[4]^3*z[5]^2-q^ 5*z[1]*z[2]^4*z[3]^2*z[4]*z[5]^4+q^5*z[1]*z[2]^3*z[3]^3*z[4]^3*z[5]^2-q^5*z[1]* z[2]^3*z[3]^3*z[4]^2*z[5]^3+q^5*z[1]*z[2]^3*z[3]^2*z[4]^2*z[5]^4+q^5*z[2]^4*z[3 ]^3*z[4]^3*z[5]^2-q^5*z[2]^3*z[3]^2*z[4]^4*z[5]^3+q^4*z[1]^2*z[2]^5*z[3]^3*z[4] *z[5]^2+q^4*z[1]^2*z[2]^4*z[3]^3*z[4]^2*z[5]^2-q^4*z[1]^2*z[2]^4*z[3]^3*z[4]*z[ 5]^3+q^4*z[1]^2*z[2]^4*z[3]^2*z[4]*z[5]^4-q^4*z[1]^2*z[2]^3*z[3]^3*z[4]^3*z[5]^ 2-q^4*z[1]^2*z[2]^3*z[3]^2*z[4]^3*z[5]^3-q^4*z[1]*z[2]^4*z[3]^2*z[4]^3*z[5]^3+q ^4*z[1]*z[2]^3*z[3]^3*z[4]^2*z[5]^4+q^4*z[1]*z[2]^3*z[3]^2*z[4]^4*z[5]^3-q^4*z[ 1]*z[2]^3*z[3]^2*z[4]^3*z[5]^4+q^6*z[2]^5*z[3]^3*z[4]*z[5]+q^6*z[2]^4*z[3]^3*z[ 4]^2*z[5]-q^5*z[1]*z[2]^5*z[3]^3*z[4]*z[5]-q^5*z[1]*z[2]^4*z[3]^3*z[4]*z[5]^2-q ^5*z[1]*z[2]^4*z[3]^2*z[4]^3*z[5]+q^5*z[1]*z[2]^4*z[3]^2*z[4]*z[5]^3-q^5*z[1]*z [2]^3*z[3]^3*z[4]^2*z[5]^2+q^5*z[1]*z[2]^3*z[3]^2*z[4]^3*z[5]^2-q^5*z[2]^4*z[3] ^3*z[4]^2*z[5]^2+q^5*z[2]^4*z[3]^3*z[4]*z[5]^3-q^5*z[2]^3*z[3]^4*z[4]^2*z[5]^2+ q^5*z[2]^3*z[3]^3*z[4]^3*z[5]^2-q^4*z[1]^2*z[2]^4*z[3]^3*z[4]^2*z[5]+q^4*z[1]^2 *z[2]^4*z[3]^2*z[4]^3*z[5]+q^4*z[1]*z[2]^3*z[3]^4*z[4]^2*z[5]^2-q^4*z[1]*z[2]^3 *z[3]^3*z[4]^3*z[5]^2-q^4*z[1]*z[2]^3*z[3]^3*z[4]^2*z[5]^3-q^4*z[1]*z[2]^3*z[3] ^2*z[4]^3*z[5]^3+q^4*z[1]*z[2]^3*z[3]^2*z[4]^2*z[5]^4+q^3*z[1]^2*z[2]^4*z[3]^2* z[4]^3*z[5]^2+q^3*z[1]^2*z[2]^3*z[3]^2*z[4]^3*z[5]^3+q^5*z[1]*z[2]^4*z[3]^2*z[4 ]^2*z[5]-q^5*z[2]^4*z[3]^3*z[4]*z[5]^2-q^5*z[2]^4*z[3]^2*z[4]^3*z[5]+q^5*z[2]^3 *z[3]^3*z[4]*z[5]^3-q^5*z[2]^3*z[3]^2*z[4]*z[5]^4-q^4*z[1]^2*z[2]^4*z[3]^2*z[4] ^2*z[5]-q^4*z[1]^2*z[2]^4*z[3]^2*z[4]*z[5]^2-q^4*z[1]*z[2]^5*z[3]^3*z[4]*z[5]+q ^4*z[1]*z[2]^4*z[3]^2*z[4]^3*z[5]-q^4*z[1]*z[2]^3*z[3]^3*z[4]^2*z[5]^2-q^4*z[1] *z[2]^3*z[3]^3*z[4]*z[5]^3-q^4*z[1]*z[2]^3*z[3]^2*z[4]^3*z[5]^2+q^4*z[1]*z[2]^3 *z[3]^2*z[4]*z[5]^4+q^4*z[1]*z[2]^3*z[3]*z[4]^3*z[5]^3+q^4*z[1]*z[2]^2*z[3]^3*z [4]^3*z[5]^2+q^4*z[1]*z[2]^2*z[3]^3*z[4]^2*z[5]^3-2*q^4*z[1]*z[2]^2*z[3]^2*z[4] ^3*z[5]^3+q^4*z[2]^3*z[3]^3*z[4]^3*z[5]^2-q^4*z[2]^3*z[3]^2*z[4]^3*z[5]^3+q^3*z [1]^2*z[2]^5*z[3]^3*z[4]*z[5]+q^3*z[1]^2*z[2]^4*z[3]^2*z[4]*z[5]^3+q^3*z[1]^2*z [2]^3*z[3]^2*z[4]^3*z[5]^2-q^3*z[1]^2*z[2]^3*z[3]*z[4]^3*z[5]^3-q^3*z[1]^2*z[2] ^2*z[3]^3*z[4]^3*z[5]^2-q^3*z[1]^2*z[2]^2*z[3]^3*z[4]^2*z[5]^3+q^3*z[1]^2*z[2]^ 2*z[3]^2*z[4]^3*z[5]^3+q^5*z[1]*z[2]^4*z[3]^2*z[4]*z[5]+q^5*z[2]^4*z[3]^3*z[4]* z[5]-q^5*z[2]^4*z[3]^2*z[5]^3+q^5*z[2]^3*z[3]^3*z[4]^2*z[5]-q^5*z[2]^3*z[3]^2*z [4]^3*z[5]-q^4*z[1]^2*z[2]^4*z[3]^2*z[4]*z[5]-q^4*z[1]*z[2]^4*z[3]^3*z[4]*z[5]+ q^4*z[1]*z[2]^4*z[3]^2*z[5]^3-q^4*z[1]*z[2]^3*z[3]^3*z[4]^2*z[5]+q^4*z[1]*z[2]^ 3*z[3]^2*z[4]^3*z[5]-2*q^4*z[1]*z[2]^3*z[3]^2*z[4]*z[5]^3+q^4*z[1]*z[2]^3*z[3]* z[4]^2*z[5]^3+q^4*z[1]*z[2]^2*z[3]^3*z[4]^2*z[5]^2-q^4*z[2]^3*z[3]^3*z[4]^2*z[5 ]^2+q^4*z[2]^3*z[3]^3*z[4]*z[5]^3-q^3*z[1]^2*z[2]^4*z[3]^2*z[4]*z[5]^2-q^3*z[1] ^2*z[2]^3*z[3]^2*z[4]^2*z[5]^2+q^3*z[1]^2*z[2]^3*z[3]^2*z[4]*z[5]^3-q^3*z[1]^2* z[2]^2*z[3]^3*z[4]^2*z[5]^2-q^3*z[1]*z[2]^2*z[3]^2*z[4]^3*z[5]^3+q^4*z[1]*z[2]^ 4*z[3]^2*z[4]*z[5]-q^4*z[1]*z[2]^3*z[3]^2*z[4]^2*z[5]+q^4*z[1]*z[2]^3*z[3]^2*z[ 4]*z[5]^2-q^4*z[1]*z[2]^3*z[3]*z[4]*z[5]^3+q^4*z[1]*z[2]^2*z[3]^2*z[4]^2*z[5]^2 +q^4*z[2]^4*z[3]^3*z[4]*z[5]-q^4*z[2]^4*z[3]^2*z[4]^2*z[5]-q^4*z[2]^3*z[3]^3*z[ 4]*z[5]^2+q^4*z[2]^3*z[3]*z[4]^3*z[5]^2+q^4*z[2]^2*z[3]^3*z[4]^2*z[5]^2-q^4*z[2 ]^2*z[3]^2*z[4]^3*z[5]^2+q^4*z[2]^2*z[3]*z[4]^3*z[5]^3-q^3*z[1]^2*z[2]^4*z[3]^2 *z[4]*z[5]+q^3*z[1]^2*z[2]^3*z[3]^2*z[4]^2*z[5]-q^3*z[1]*z[2]^4*z[3]^3*z[4]*z[5 ]+q^3*z[1]*z[2]^4*z[3]^2*z[4]^2*z[5]-q^3*z[1]*z[2]^3*z[3]*z[4]^3*z[5]^2+q^3*z[1 ]*z[2]^3*z[3]*z[4]^2*z[5]^3-q^3*z[1]*z[2]^2*z[3]^3*z[4]^2*z[5]^2+q^3*z[1]*z[2]^ 2*z[3]^2*z[4]^3*z[5]^2-q^3*z[1]*z[2]^2*z[3]*z[4]^3*z[5]^3-q^5*z[2]^4*z[3]^2*z[4 ]+q^4*z[1]*z[2]^4*z[3]^2*z[4]+q^4*z[1]*z[2]^3*z[3]^2*z[4]*z[5]-q^4*z[1]*z[2]^3* z[3]*z[4]^2*z[5]+q^4*z[2]^4*z[3]^2*z[4]*z[5]-q^4*z[2]^4*z[3]^2*z[5]^2-q^4*z[2]^ 3*z[3]^2*z[4]^2*z[5]+q^4*z[2]^2*z[3]^3*z[4]^2*z[5]+q^4*z[2]^2*z[3]^3*z[4]*z[5]^ 2-q^4*z[2]^2*z[3]^2*z[4]*z[5]^3+q^3*z[1]*z[2]^4*z[3]^2*z[5]^2+q^3*z[1]*z[2]^3*z [3]^2*z[4]^2*z[5]+q^3*z[1]*z[2]^3*z[3]*z[4]^2*z[5]^2-q^3*z[1]*z[2]^3*z[3]*z[4]* z[5]^3-q^3*z[1]*z[2]^2*z[3]^3*z[4]^2*z[5]-q^3*z[1]*z[2]^2*z[3]^3*z[4]*z[5]^2+q^ 3*z[1]*z[2]^2*z[3]^2*z[4]^2*z[5]^2+q^3*z[1]*z[2]^2*z[3]^2*z[4]*z[5]^3-q^3*z[2]^ 2*z[3]^2*z[4]^3*z[5]^2-q^2*z[1]^2*z[2]^4*z[3]^2*z[4]*z[5]-q^2*z[1]^2*z[2]^3*z[3 ]*z[4]^2*z[5]^2+q^4*z[2]^4*z[3]^2*z[5]+q^4*z[2]^3*z[3]^2*z[4]*z[5]-q^4*z[2]^3*z [3]^2*z[5]^2+q^4*z[2]^3*z[3]*z[5]^3-q^4*z[2]^2*z[3]^2*z[4]^2*z[5]+q^3*z[1]^2*z[ 2]^3*z[3]*z[4]*z[5]+q^3*z[1]*z[2]^4*z[3]^2*z[4]+q^3*z[1]*z[2]^3*z[3]^2*z[5]^2-q ^3*z[1]*z[2]^3*z[3]*z[4]^2*z[5]-q^3*z[1]*z[2]^3*z[3]*z[5]^3+q^3*z[1]*z[2]^2*z[3 ]^2*z[4]^2*z[5]+2*q^3*z[1]*z[2]^2*z[3]*z[4]^2*z[5]^2-q^3*z[1]*z[2]*z[3]^2*z[4]^ 2*z[5]^2-q^3*z[2]^3*z[3]^2*z[4]^2*z[5]+q^3*z[2]^3*z[3]*z[4]^2*z[5]^2-q^3*z[2]^2 *z[3]^2*z[4]*z[5]^3+q^3*z[2]^2*z[3]*z[4]^2*z[5]^3-q^2*z[1]^2*z[2]^4*z[3]^2*z[4] -q^2*z[1]^2*z[2]^4*z[3]^2*z[5]-q^2*z[1]^2*z[2]^2*z[3]*z[4]^2*z[5]^2+q^2*z[1]^2* z[2]*z[3]^2*z[4]^2*z[5]^2-q^4*z[2]^3*z[3]^2*z[4]+q^4*z[2]^3*z[3]*z[4]^2+q^3*z[1 ]*z[2]^3*z[3]^2*z[4]-q^3*z[1]*z[2]^3*z[3]*z[4]^2-q^3*z[2]^3*z[3]^2*z[5]^2+q^3*z [2]^2*z[3]^2*z[4]*z[5]^2+q^3*z[2]^2*z[3]*z[4]^2*z[5]^2-q^3*z[2]^2*z[3]*z[4]*z[5 ]^3+q^2*z[1]^2*z[2]^3*z[3]*z[4]*z[5]+q^2*z[1]*z[2]^3*z[3]^2*z[4]*z[5]-q^2*z[1]* z[2]^3*z[3]*z[4]^2*z[5]-q^3*z[1]*z[2]^2*z[3]*z[4]*z[5]-q^3*z[2]^3*z[3]^2*z[4]+q ^3*z[2]^2*z[3]^2*z[4]*z[5]-q^3*z[2]^2*z[4]^2*z[5]^2-q^3*z[2]*z[3]^2*z[4]^2*z[5] -q^3*z[2]*z[3]^2*z[4]*z[5]^2+q^3*z[2]*z[3]*z[4]^2*z[5]^2+q^2*z[1]*z[2]^3*z[3]^2 *z[4]+q^2*z[1]*z[2]^3*z[3]^2*z[5]-q^2*z[1]*z[2]^3*z[3]*z[5]^2-q^2*z[1]*z[2]^2*z [3]*z[4]^2*z[5]+q^2*z[1]*z[2]^2*z[4]^2*z[5]^2+q^2*z[1]*z[2]*z[3]^2*z[4]^2*z[5]+ q^2*z[1]*z[2]*z[3]^2*z[4]*z[5]^2-q^2*z[1]*z[2]*z[3]*z[4]^2*z[5]^2+q^3*z[2]^2*z[ 3]*z[5]^2-q^3*z[2]*z[3]^2*z[4]*z[5]-q^2*z[1]*z[2]^3*z[3]*z[4]-q^2*z[1]*z[2]^2*z [3]*z[5]^2+q^2*z[1]*z[2]*z[3]^2*z[4]*z[5]+q^2*z[2]^2*z[3]*z[4]^2*z[5]+q^2*z[2]* z[3]*z[4]^2*z[5]^2+q*z[1]^2*z[2]^3*z[3]*z[4]+q*z[1]^2*z[2]^3*z[3]*z[5]-q^3*z[2] ^3*z[3]+q^3*z[2]^2*z[3]*z[4]-q^2*z[1]*z[2]^2*z[3]*z[4]+q^2*z[2]^2*z[3]*z[5]^2-q ^2*z[2]^2*z[4]*z[5]^2+q*z[1]^2*z[2]^3*z[3]+q^2*z[2]^2*z[3]*z[4]-q^2*z[2]^2*z[4] *z[5]+q^2*z[2]^2*z[5]^2-q^2*z[2]*z[3]*z[4]*z[5]-q*z[1]*z[2]^2*z[3]*z[4]-q*z[1]* z[2]^2*z[3]*z[5]+q*z[1]*z[2]^2*z[4]*z[5]+q^2*z[2]^2*z[4]-q^2*z[2]*z[4]*z[5]+q^2 *z[3]*z[4]*z[5]-q*z[1]*z[2]^2*z[3]+q*z[1]*z[2]*z[4]*z[5]-q*z[1]*z[3]*z[4]*z[5]- q*z[2]*z[4]*z[5]-z[1]^2*z[2]^2+z[1]*z[2])*(-1+z[1])/(q*z[2]*z[3]*z[5]-1)/(q*z[2 ]*z[3]-1)/(q*z[2]*z[3]*z[4]-1)/(q^2*z[2]*z[3]*z[4]*z[5]-1)/(q*z[2]*z[3]*z[4]*z[ 5]-1)/(q^3*z[2]*z[3]*z[4]*z[5]-1)/(q*z[3]*z[4]*z[5]-1) 3 x[1] For the coeff., -------------- x[2] x[3] x[4] we have: 7 2 5 5 5 5 7 2 5 5 4 6 - (q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 2 5 5 4 5 7 2 5 4 4 6 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 2 5 4 4 5 7 5 5 4 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 5 4 3 6 6 2 5 5 4 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 2 5 4 3 6 7 5 4 4 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 2 5 4 3 5 6 2 4 5 4 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 2 4 5 3 5 6 2 4 4 5 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 7 5 4 3 4 6 2 5 3 3 5 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 2 4 5 3 4 6 2 4 4 4 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 2 4 4 3 5 6 2 4 3 4 5 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 5 4 4 4 6 5 4 3 5 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 5 4 4 4 5 2 5 4 3 5 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 2 5 3 3 4 6 2 4 4 3 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 2 4 3 4 4 6 5 4 3 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 4 4 4 6 4 4 3 5 - 2 q z[1] z[2] z[3] z[4] z[5] + 2 q z[1] z[2] z[3] z[4] z[5] 6 4 3 5 4 5 2 5 4 3 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 4 4 4 4 5 2 4 4 3 5 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 4 3 5 4 7 5 4 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 6 5 3 2 5 6 4 5 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 4 4 4 3 6 4 4 3 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 4 2 5 6 4 3 4 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 3 3 5 5 2 5 4 3 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 5 3 2 5 5 2 4 5 3 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 4 4 4 3 5 2 4 4 2 5 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 4 3 4 4 5 4 4 4 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 4 4 3 5 6 5 3 3 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 4 4 3 3 6 4 3 4 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 4 3 3 4 5 2 5 3 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 4 4 2 4 5 2 3 4 4 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 3 3 4 4 5 4 4 3 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 4 3 3 5 6 5 3 2 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 4 4 2 3 6 4 3 3 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 4 4 3 3 6 4 3 2 5 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 5 2 5 3 2 3 5 2 4 3 2 4 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 2 4 2 3 4 5 2 3 4 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 3 3 3 4 5 5 3 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 5 3 2 4 5 4 4 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 4 4 2 4 5 4 3 4 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 4 3 3 4 5 4 3 2 5 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 5 3 3 4 2 5 3 3 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 5 3 2 4 4 2 4 4 2 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 4 3 4 3 4 2 3 5 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 6 4 3 3 3 5 2 4 3 2 3 + q z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 2 4 2 3 3 5 2 3 3 3 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 5 3 2 3 5 4 4 2 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 4 3 3 3 5 4 3 2 4 + 2 q z[1] z[2] z[3] z[4] z[5] - 2 q z[1] z[2] z[3] z[4] z[5] 5 4 2 4 3 5 3 4 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 4 2 4 5 3 3 4 3 - 2 q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 2 4 4 4 2 5 3 2 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 4 4 2 3 4 2 4 3 3 3 - q z[1] z[2] z[3] z[4] z[5] - 2 q z[1] z[2] z[3] z[4] z[5] 4 2 4 3 2 4 4 2 4 2 4 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 4 2 4 4 2 3 2 4 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 6 5 3 2 2 6 4 4 2 2 - q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 6 4 3 3 2 5 5 3 2 2 - q z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 4 3 2 3 5 4 3 4 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 4 2 3 3 5 4 2 2 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 3 4 3 2 5 3 4 2 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 3 3 3 3 5 3 3 2 4 + 2 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 3 2 3 4 5 4 3 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 5 4 3 2 4 4 2 4 4 2 2 - q z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 4 3 3 2 4 2 4 3 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 4 2 3 3 4 2 3 4 3 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 3 3 3 4 3 4 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 3 4 2 4 4 3 3 4 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 4 3 2 2 5 4 2 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 4 2 2 3 5 3 3 3 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 3 3 2 3 5 3 2 3 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 4 3 2 3 5 3 3 3 3 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 5 3 3 2 4 5 3 2 4 3 - q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 4 2 4 3 2 2 4 2 4 2 3 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 2 3 3 4 2 2 3 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 5 3 2 2 4 4 2 2 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 3 4 2 3 4 3 2 4 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 3 2 3 4 3 2 5 3 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 4 3 2 5 4 2 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 5 3 3 2 2 5 4 3 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 5 4 2 4 5 3 4 2 2 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 5 3 3 3 2 5 3 3 4 - q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 5 3 2 3 3 4 2 4 3 2 + q z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 4 2 2 2 4 2 3 2 2 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 4 3 3 4 4 2 3 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 4 2 2 3 4 4 2 4 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 3 4 2 2 4 3 3 3 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 3 3 2 3 4 3 3 4 + 2 q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 3 2 3 3 4 2 4 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 2 4 2 3 4 3 3 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 4 3 3 2 4 3 2 4 3 2 2 - q z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 4 3 3 3 2 4 2 3 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 2 3 3 2 3 2 3 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 2 4 3 2 3 2 2 4 2 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 5 4 2 2 2 5 3 3 2 2 - q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 5 3 2 3 2 4 2 3 2 2 2 - q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 4 3 2 4 3 3 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 3 3 3 4 3 3 3 + 2 q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 3 2 4 2 3 2 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 2 3 3 4 4 3 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 4 3 3 2 3 4 3 2 2 4 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 3 2 4 3 2 3 2 4 2 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 2 2 3 2 3 3 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 3 3 2 2 3 2 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 4 3 2 2 5 4 3 + q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 5 4 2 2 5 3 3 2 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 4 4 3 4 4 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 3 3 2 4 3 2 2 2 - q z[1] z[2] z[3] z[4] z[5] - 2 q z[1] z[2] z[3] z[4] z[5] 4 3 2 3 4 3 2 3 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 2 3 2 2 4 2 2 2 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 4 2 2 2 4 4 2 3 - q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 4 3 3 3 4 3 2 3 2 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 4 3 2 2 3 4 2 4 2 2 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 3 2 3 3 2 3 2 3 2 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 4 2 2 2 3 4 2 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 3 3 2 2 3 2 4 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 3 3 2 3 2 2 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 3 2 2 4 3 2 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 3 2 2 4 2 2 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 4 2 2 4 3 3 2 - q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 4 3 2 2 2 4 3 2 3 - 2 q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 4 3 3 2 4 2 3 3 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 4 2 3 3 3 2 3 2 2 + q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 2 2 2 2 3 4 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 4 2 2 3 3 2 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 3 3 2 3 3 2 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 2 3 2 2 3 2 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 2 2 3 3 2 3 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 2 2 4 3 2 2 4 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 2 2 4 2 2 4 3 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 4 3 3 4 3 2 2 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 4 3 2 3 4 3 2 2 - q z[2] z[3] z[5] - q z[2] z[3] z[4] z[5] 4 2 3 2 4 2 2 2 2 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 3 2 3 2 3 3 3 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 3 2 2 3 3 2 3 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[5] 3 3 2 2 3 2 3 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 3 2 2 3 3 2 2 2 + q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 3 3 2 3 3 2 3 2 2 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 3 2 3 3 3 2 2 3 2 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 2 2 3 2 2 2 2 3 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 2 2 3 2 2 4 3 2 - q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 4 3 2 4 2 2 2 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 3 3 2 3 2 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 2 2 3 2 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 3 3 3 3 2 2 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 3 3 3 3 2 3 2 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 3 2 2 2 2 3 2 2 3 - q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 3 2 2 3 2 2 3 2 + q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 3 3 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 2 3 2 2 2 3 2 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 4 3 2 3 3 2 - q z[2] z[3] z[4] + q z[1] z[2] z[3] z[4] 3 2 2 3 2 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 3 2 3 3 2 2 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[5] 3 3 2 3 3 2 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 3 2 2 2 3 3 2 - 2 q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 3 3 2 2 3 2 + q z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 2 3 2 2 2 3 2 + q z[1] z[2] z[3] z[5] - q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 2 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 2 3 2 2 3 2 - q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 3 2 + q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] z[5] 3 3 2 3 3 3 2 2 + q z[2] z[3] z[5] + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 3 2 2 2 3 2 2 2 3 2 2 - q z[2] z[3] z[5] - q z[2] z[4] z[5] - q z[2] z[3] z[4] z[5] 2 3 2 2 2 2 2 + q z[1] z[2] z[3] z[4] + q z[1] z[2] z[3] z[5] 2 2 2 2 2 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[1] z[2] z[4] z[5] 2 2 2 2 3 2 + q z[1] z[2] z[3] z[4] z[5] - q z[1] z[2] z[3] z[4] 2 3 2 2 3 - q z[1] z[2] z[3] z[5] - q z[1] z[2] z[3] z[4] z[5] 3 2 2 3 2 2 2 2 - q z[2] z[3] z[4] + q z[2] z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] 2 2 2 2 2 - q z[1] z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 2 2 2 2 2 2 2 - q z[2] z[3] z[5] + q z[2] z[3] z[4] z[5] 2 2 2 2 2 2 + q z[2] z[3] z[4] z[5] + q z[2] z[3] z[4] z[5] 2 2 3 2 + q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] 2 2 2 + q z[1] z[2] z[3] z[4] - q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 2 2 2 2 2 - q z[2] z[3] z[4] - q z[2] z[3] z[5] - q z[2] z[4] z[5] 2 2 2 2 + q z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] z[5] 2 2 2 2 + q z[1] z[2] z[3] z[4] + q z[1] z[2] z[3] z[5] 2 2 2 2 2 + q z[1] z[2] z[3] z[4] z[5] - q z[2] z[3] z[4] + q z[2] z[3] z[5] 2 2 2 2 + q z[2] z[3] z[4] z[5] - q z[3] z[4] z[5] + q z[1] z[2] z[3] z[4] 2 + q z[1] z[2] z[4] z[5] - q z[1] z[2] z[3] z[4] z[5] 2 2 2 2 + q z[1] z[3] z[4] z[5] - q z[2] z[3] + q z[2] z[3] z[5] 2 2 - q z[1] z[2] z[3] z[5] + z[1] z[2] z[3] - q z[2] z[3] z[4] - q z[2] z[4] z[5] - q z[3] z[4] z[5] + q z[2] z[5] - z[1] z[2] z[3] / - z[1] z[2] + 1) (-1 + z[1]) / ((q z[2] z[3] z[5] - 1) / 3 (q z[2] z[3] z[4] - 1) (q z[2] z[4] z[5] - 1) (q z[2] z[3] z[4] z[5] - 1) 2 (q z[2] z[3] z[4] z[5] - 1) (q z[2] z[3] z[4] z[5] - 1) (q z[3] z[4] z[5] - 1)) and in Maple input notation: -(q^7*z[1]^2*z[2]^5*z[3]^5*z[4]^5*z[5]^5-q^7*z[1]^2*z[2]^5*z[3]^5*z[4]^4*z[5]^6 +q^7*z[1]^2*z[2]^5*z[3]^5*z[4]^4*z[5]^5-q^7*z[1]^2*z[2]^5*z[3]^4*z[4]^4*z[5]^6+ q^7*z[1]^2*z[2]^5*z[3]^4*z[4]^4*z[5]^5-q^7*z[1]*z[2]^5*z[3]^5*z[4]^4*z[5]^4+q^7 *z[1]*z[2]^5*z[3]^4*z[4]^3*z[5]^6+q^6*z[1]^2*z[2]^5*z[3]^5*z[4]^4*z[5]^4-q^6*z[ 1]^2*z[2]^5*z[3]^4*z[4]^3*z[5]^6-q^7*z[1]*z[2]^5*z[3]^4*z[4]^4*z[5]^4+q^6*z[1]^ 2*z[2]^5*z[3]^4*z[4]^3*z[5]^5-q^6*z[1]^2*z[2]^4*z[3]^5*z[4]^4*z[5]^4+q^6*z[1]^2 *z[2]^4*z[3]^5*z[4]^3*z[5]^5-q^6*z[1]^2*z[2]^4*z[3]^4*z[4]^5*z[5]^4-q^7*z[1]*z[ 2]^5*z[3]^4*z[4]^3*z[5]^4+q^6*z[1]^2*z[2]^5*z[3]^3*z[4]^3*z[5]^5-q^6*z[1]^2*z[2 ]^4*z[3]^5*z[4]^3*z[5]^4-q^6*z[1]^2*z[2]^4*z[3]^4*z[4]^4*z[5]^4+q^6*z[1]^2*z[2] ^4*z[3]^4*z[4]^3*z[5]^5+q^6*z[1]^2*z[2]^4*z[3]^3*z[4]^4*z[5]^5-q^6*z[1]*z[2]^5* z[3]^4*z[4]^4*z[5]^4+q^6*z[1]*z[2]^5*z[3]^4*z[4]^3*z[5]^5+q^5*z[1]^2*z[2]^5*z[3 ]^4*z[4]^4*z[5]^4-q^5*z[1]^2*z[2]^5*z[3]^4*z[4]^3*z[5]^5-q^6*z[1]^2*z[2]^5*z[3] ^3*z[4]^3*z[5]^4-q^6*z[1]^2*z[2]^4*z[3]^4*z[4]^3*z[5]^4-q^6*z[1]^2*z[2]^4*z[3]^ 3*z[4]^4*z[5]^4-q^6*z[1]*z[2]^5*z[3]^4*z[4]^3*z[5]^4-2*q^6*z[1]*z[2]^4*z[3]^4*z [4]^4*z[5]^4+2*q^6*z[1]*z[2]^4*z[3]^4*z[4]^3*z[5]^5+q^6*z[1]*z[2]^4*z[3]^3*z[4] ^5*z[5]^4+q^5*z[1]^2*z[2]^5*z[3]^4*z[4]^3*z[5]^4+q^5*z[1]^2*z[2]^4*z[3]^4*z[4]^ 4*z[5]^4-q^5*z[1]^2*z[2]^4*z[3]^4*z[4]^3*z[5]^5-q^5*z[1]^2*z[2]^4*z[3]^3*z[4]^5 *z[5]^4+q^7*z[2]^5*z[3]^4*z[4]^3*z[5]^3-q^6*z[1]*z[2]^5*z[3]^3*z[4]^2*z[5]^5+q^ 6*z[1]*z[2]^4*z[3]^5*z[4]^3*z[5]^3+q^6*z[1]*z[2]^4*z[3]^4*z[4]^4*z[5]^3-q^6*z[1 ]*z[2]^4*z[3]^4*z[4]^3*z[5]^4-q^6*z[1]*z[2]^4*z[3]^4*z[4]^2*z[5]^5-q^6*z[1]*z[2 ]^4*z[3]^3*z[4]^4*z[5]^4+q^6*z[1]*z[2]^4*z[3]^3*z[4]^3*z[5]^5-q^5*z[1]^2*z[2]^5 *z[3]^4*z[4]^3*z[5]^3+q^5*z[1]^2*z[2]^5*z[3]^3*z[4]^2*z[5]^5-q^5*z[1]^2*z[2]^4* z[3]^5*z[4]^3*z[5]^3-q^5*z[1]^2*z[2]^4*z[3]^4*z[4]^4*z[5]^3+q^5*z[1]^2*z[2]^4*z [3]^4*z[4]^2*z[5]^5+q^5*z[1]^2*z[2]^4*z[3]^3*z[4]^4*z[5]^4-q^5*z[1]*z[2]^4*z[3] ^4*z[4]^4*z[5]^4+q^5*z[1]*z[2]^4*z[3]^4*z[4]^3*z[5]^5+q^6*z[1]*z[2]^5*z[3]^3*z[ 4]^3*z[5]^3+q^6*z[1]*z[2]^4*z[3]^4*z[4]^3*z[5]^3+q^6*z[1]*z[2]^4*z[3]^3*z[4]^4* z[5]^3-q^6*z[1]*z[2]^4*z[3]^3*z[4]^3*z[5]^4-q^5*z[1]^2*z[2]^5*z[3]^3*z[4]^3*z[5 ]^3-q^5*z[1]^2*z[2]^4*z[3]^4*z[4]^2*z[5]^4+q^5*z[1]^2*z[2]^3*z[3]^4*z[4]^4*z[5] ^3+q^5*z[1]^2*z[2]^3*z[3]^3*z[4]^4*z[5]^4-q^5*z[1]*z[2]^4*z[3]^4*z[4]^3*z[5]^4+ q^5*z[1]*z[2]^4*z[3]^3*z[4]^3*z[5]^5+q^6*z[1]*z[2]^5*z[3]^3*z[4]^2*z[5]^3+q^6*z [1]*z[2]^4*z[3]^4*z[4]^2*z[5]^3+q^6*z[1]*z[2]^4*z[3]^3*z[4]^3*z[5]^3+q^6*z[2]^4 *z[3]^4*z[4]^3*z[5]^3-q^6*z[2]^4*z[3]^3*z[4]^2*z[5]^5-q^5*z[1]^2*z[2]^5*z[3]^3* z[4]^2*z[5]^3-q^5*z[1]^2*z[2]^4*z[3]^3*z[4]^2*z[5]^4-q^5*z[1]^2*z[2]^4*z[3]^2*z [4]^3*z[5]^4+q^5*z[1]^2*z[2]^3*z[3]^4*z[4]^3*z[5]^3-q^5*z[1]^2*z[2]^3*z[3]^3*z[ 4]^3*z[5]^4+q^5*z[1]*z[2]^5*z[3]^3*z[4]^3*z[5]^3-q^5*z[1]*z[2]^5*z[3]^3*z[4]^2* z[5]^4-q^5*z[1]*z[2]^4*z[3]^4*z[4]^3*z[5]^3-q^5*z[1]*z[2]^4*z[3]^4*z[4]^2*z[5]^ 4+q^5*z[1]*z[2]^4*z[3]^3*z[4]^4*z[5]^3-q^5*z[1]*z[2]^4*z[3]^3*z[4]^3*z[5]^4+q^5 *z[1]*z[2]^4*z[3]^3*z[4]^2*z[5]^5+q^5*z[1]*z[2]^3*z[3]^5*z[4]^3*z[5]^3-q^4*z[1] ^2*z[2]^5*z[3]^3*z[4]^3*z[5]^3+q^4*z[1]^2*z[2]^5*z[3]^3*z[4]^2*z[5]^4+q^4*z[1]^ 2*z[2]^4*z[3]^4*z[4]^2*z[5]^4-q^4*z[1]^2*z[2]^4*z[3]^3*z[4]^4*z[5]^3-q^4*z[1]^2 *z[2]^3*z[3]^5*z[4]^3*z[5]^3+q^6*z[2]^4*z[3]^3*z[4]^3*z[5]^3+q^5*z[1]^2*z[2]^4* z[3]^3*z[4]^2*z[5]^3+q^5*z[1]^2*z[2]^4*z[3]^2*z[4]^3*z[5]^3+q^5*z[1]^2*z[2]^3*z [3]^3*z[4]^3*z[5]^3+q^5*z[1]*z[2]^5*z[3]^3*z[4]^2*z[5]^3+q^5*z[1]*z[2]^4*z[3]^4 *z[4]^2*z[5]^3+2*q^5*z[1]*z[2]^4*z[3]^3*z[4]^3*z[5]^3-2*q^5*z[1]*z[2]^4*z[3]^3* z[4]^2*z[5]^4-q^5*z[1]*z[2]^4*z[3]^2*z[4]^4*z[5]^3+q^5*z[1]*z[2]^3*z[3]^4*z[4]^ 3*z[5]^3-2*q^5*z[1]*z[2]^3*z[3]^4*z[4]^2*z[5]^4+q^5*z[1]*z[2]^3*z[3]^3*z[4]^4*z [5]^3-q^5*z[1]*z[2]^3*z[3]^2*z[4]^4*z[5]^4-q^4*z[1]^2*z[2]^5*z[3]^3*z[4]^2*z[5] ^3-q^4*z[1]^2*z[2]^4*z[3]^4*z[4]^2*z[5]^3-2*q^4*z[1]^2*z[2]^4*z[3]^3*z[4]^3*z[5 ]^3+q^4*z[1]^2*z[2]^4*z[3]^3*z[4]^2*z[5]^4+q^4*z[1]^2*z[2]^4*z[3]^2*z[4]^4*z[5] ^3+q^4*z[1]^2*z[2]^3*z[3]^4*z[4]^2*z[5]^4+q^4*z[1]^2*z[2]^3*z[3]^2*z[4]^4*z[5]^ 4-q^6*z[2]^5*z[3]^3*z[4]^2*z[5]^2-q^6*z[2]^4*z[3]^4*z[4]^2*z[5]^2-q^6*z[2]^4*z[ 3]^3*z[4]^3*z[5]^2+q^5*z[1]*z[2]^5*z[3]^3*z[4]^2*z[5]^2+q^5*z[1]*z[2]^4*z[3]^3* z[4]^2*z[5]^3+q^5*z[1]*z[2]^4*z[3]^3*z[4]*z[5]^4+q^5*z[1]*z[2]^4*z[3]^2*z[4]^3* z[5]^3-q^5*z[1]*z[2]^4*z[3]^2*z[4]^2*z[5]^4-q^5*z[1]*z[2]^3*z[3]^4*z[4]^3*z[5]^ 2+q^5*z[1]*z[2]^3*z[3]^4*z[4]^2*z[5]^3+2*q^5*z[1]*z[2]^3*z[3]^3*z[4]^3*z[5]^3-q ^5*z[1]*z[2]^3*z[3]^3*z[4]^2*z[5]^4-q^5*z[1]*z[2]^3*z[3]^2*z[4]^3*z[5]^4+q^5*z[ 2]^4*z[3]^3*z[4]^3*z[5]^3-q^5*z[2]^4*z[3]^3*z[4]^2*z[5]^4+q^4*z[1]^2*z[2]^4*z[3 ]^4*z[4]^2*z[5]^2+q^4*z[1]^2*z[2]^4*z[3]^3*z[4]^3*z[5]^2-q^4*z[1]^2*z[2]^4*z[3] ^3*z[4]*z[5]^4-q^4*z[1]^2*z[2]^4*z[3]^2*z[4]^3*z[5]^3+q^4*z[1]^2*z[2]^3*z[3]^4* z[4]^3*z[5]^2-q^4*z[1]^2*z[2]^3*z[3]^3*z[4]^3*z[5]^3+q^4*z[1]*z[2]^3*z[3]^4*z[4 ]^3*z[5]^3-q^4*z[1]*z[2]^3*z[3]^4*z[4]^2*z[5]^4+q^4*z[1]*z[2]^3*z[3]^3*z[4]^4*z [5]^3-q^5*z[1]*z[2]^4*z[3]^3*z[4]^2*z[5]^2-q^5*z[1]*z[2]^4*z[3]^2*z[4]^3*z[5]^2 +q^5*z[1]*z[2]^4*z[3]^2*z[4]^2*z[5]^3-q^5*z[1]*z[2]^3*z[3]^3*z[4]^3*z[5]^2+q^5* z[1]*z[2]^3*z[3]^3*z[4]^2*z[5]^3+q^5*z[1]*z[2]^3*z[3]^2*z[4]^3*z[5]^3+q^5*z[2]^ 4*z[3]^3*z[4]^2*z[5]^3+q^5*z[2]^3*z[3]^3*z[4]^3*z[5]^3-q^5*z[2]^3*z[3]^3*z[4]^2 *z[5]^4-q^5*z[2]^3*z[3]^2*z[4]^4*z[5]^3+q^4*z[1]^2*z[2]^4*z[3]^3*z[4]^2*z[5]^2+ q^4*z[1]^2*z[2]^4*z[3]^2*z[4]^3*z[5]^2-q^4*z[1]^2*z[2]^3*z[3]^2*z[4]^3*z[5]^3-q ^4*z[1]^2*z[2]^2*z[3]^3*z[4]^3*z[5]^3+q^4*z[1]*z[2]^5*z[3]^3*z[4]^2*z[5]^2-q^4* z[1]*z[2]^4*z[3]^2*z[4]^2*z[5]^4+q^4*z[1]*z[2]^3*z[3]^4*z[4]^2*z[5]^3+q^4*z[1]* z[2]^3*z[3]^2*z[4]^4*z[5]^3-q^4*z[1]*z[2]^3*z[3]^2*z[4]^3*z[5]^4-q^3*z[1]^2*z[2 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+q*z[1]*z[2]^2*z[4]*z[5]-q*z[1]*z[2]*z[3]*z[4]*z[5]+q*z[1]*z[3]^2*z[4]*z[5]-q^2 *z[2]^2*z[3]+q^2*z[2]*z[3]*z[5]-q*z[1]*z[2]*z[3]*z[5]+z[1]^2*z[2]^2*z[3]-q*z[2] *z[3]*z[4]-q*z[2]*z[4]*z[5]-q*z[3]*z[4]*z[5]+q*z[2]*z[5]-z[1]*z[2]*z[3]-z[1]*z[ 2]+1)*(-1+z[1])/(q*z[2]*z[3]*z[5]-1)/(q*z[2]*z[3]*z[4]-1)/(q*z[2]*z[4]*z[5]-1)/ (q^3*z[2]*z[3]*z[4]*z[5]-1)/(q^2*z[2]*z[3]*z[4]*z[5]-1)/(q*z[2]*z[3]*z[4]*z[5]-\ 1)/(q*z[3]*z[4]*z[5]-1) Note that all these statements are proved (internally) using the Karolyi-Nagy method, as extended by my beloved master, Doron Zeilberger. as explained in his brilliant article "Variations on Gyula Karolyi and Zoltan Lorant Nagy's BRILLIANT proof of the Zeilberger-Bressoud q-Dyson Theorem" published in our famous Personal Journal. This book took, 32.039, seconds to generate. 32.069