All the Coefficients whose "distance" from the constant term is at most, 8, in the q-Dyson product with , 3, 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:= 3 ------------' ' | | | | | | | | | | | | i = 1 / 3 / 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, 8 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]) ----------------------- Q(a[1]) Q(a[2]) Q(a[3]) are as follows where, for i from 1 to , 3, we abbreviate: a[i] z[i] = q ------------------------------------------------------ When the sum of the positive exponents is, 1 there are, 1, possibe monomials: {[1, -1, 0]} x[1] For the coeff., ---- x[2] we have: -1 + z[1] - --------------- q z[2] z[3] - 1 and in Maple input notation: -(-1+z[1])/(q*z[2]*z[3]-1) ------------------------------------------------------ When the sum of the positive exponents is, 2 there are, 3, possibe monomials: {[1, 1, -2], [2, -2, 0], [2, -1, -1]} x[1] x[2] For the coeff., --------- 2 x[3] we have: (-1 + z[1]) (z[2] - 1) (q z[1] z[2] z[3] + q z[2] z[3] - z[2] - 1) ------------------------------------------------------------------ (q z[3] - 1) (q z[2] z[3] - 1) (q z[1] z[3] - 1) and in Maple input notation: (-1+z[1])*(z[2]-1)*(q*z[1]*z[2]*z[3]+q*z[2]*z[3]-z[2]-1)/(q*z[3]-1)/(q*z[2]*z[3 ]-1)/(q*z[1]*z[3]-1) 2 x[1] For the coeff., ----- 2 x[2] we have: 2 2 2 2 - (-1 + z[1]) (q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] - q z[1] z[2] / 2 - q z[3] + z[1]) / ((q z[2] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1)) / and in Maple input notation: -(-1+z[1])*(q^2*z[1]*z[2]*z[3]^2-q^2*z[1]*z[2]*z[3]+q^2*z[2]-q*z[1]*z[2]-q*z[3] +z[1])/(q*z[2]-1)/(q^2*z[2]*z[3]-1)/(q*z[2]*z[3]-1) 2 x[1] For the coeff., --------- x[2] x[3] we have: (q z[1] z[2] z[3] - q z[2] + z[1] z[2] - 1) (-1 + z[1]) ------------------------------------------------------- 2 (q z[2] z[3] - 1) (q z[2] z[3] - 1) and in Maple input notation: (q*z[1]*z[2]*z[3]-q*z[2]+z[1]*z[2]-1)*(-1+z[1])/(q^2*z[2]*z[3]-1)/(q*z[2]*z[3]-\ 1) ------------------------------------------------------ When the sum of the positive exponents is, 3 there are, 3, possibe monomials: {[1, 2, -3], [3, -3, 0], [3, -1, -2]} 2 x[1] x[2] For the coeff., ---------- 3 x[3] we have: 2 2 2 2 2 (q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 2 2 2 2 - q z[1] z[2] z[3] + q z[2] z[3] - q z[2] z[3] - q z[1] + z[2] - q / 2 + z[2]) (-1 + z[1]) (z[2] - 1) / ((q z[3] - 1) (q z[1] z[3] - 1) / (q z[1] z[3] - 1) (q z[2] z[3] - 1)) and in Maple input notation: (q^2*z[1]^2*z[2]*z[3]-q^2*z[1]*z[2]^2*z[3]+q^2*z[1]*z[2]*z[3]-q*z[1]*z[2]^2*z[3 ]+q^2*z[2]*z[3]-q*z[2]^2*z[3]-q*z[1]+z[2]^2-q+z[2])*(-1+z[1])*(z[2]-1)/(q*z[3]-\ 1)/(q^2*z[1]*z[3]-1)/(q*z[1]*z[3]-1)/(q*z[2]*z[3]-1) 3 x[1] For the coeff., ----- 3 x[2] we have: 3 3 3 - (-1 + z[1]) (-z[1] + q) (q z[1] z[2] z[3] - q z[1] z[2] z[3] 2 2 2 3 2 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] - q z[3] / 2 - q z[1] z[2] - q z[3] + q + z[1]) / ((q z[2] z[3] - 1) / 3 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] - 1)) and in Maple input notation: -(-1+z[1])*(-z[1]+q)*(q^3*z[1]*z[2]*z[3]^3-q^3*z[1]*z[2]*z[3]+q^2*z[1]*z[2]*z[3 ]^2-q^2*z[1]*z[2]*z[3]+q^3*z[2]-q^2*z[3]^2-q*z[1]*z[2]-q*z[3]+q+z[1])/(q^2*z[2] *z[3]-1)/(q^3*z[2]*z[3]-1)/(q*z[2]*z[3]-1)/(q*z[2]-1) 3 x[1] For the coeff., ---------- 2 x[2] x[3] we have: 3 2 2 3 2 2 2 (-z[1] + q) (q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 2 2 2 2 2 2 + q z[1] z[2] z[3] + q z[2] - q z[2] z[3] - z[1] z[2] + q z[2] / - q z[3] + z[2]) (-1 + z[1]) / ((q z[3] - 1) (q z[2] z[3] - 1) / 2 3 (q z[2] z[3] - 1) (q z[2] z[3] - 1)) and in Maple input notation: (-z[1]+q)*(q^3*z[1]*z[2]^2*z[3]^2-q^3*z[2]^2*z[3]-q^2*z[1]*z[2]^2*z[3]+q^2*z[1] *z[2]*z[3]^2+q^2*z[2]^2-q^2*z[2]*z[3]-z[1]*z[2]^2+q*z[2]-q*z[3]+z[2])*(-1+z[1]) /(q*z[3]-1)/(q*z[2]*z[3]-1)/(q^2*z[2]*z[3]-1)/(q^3*z[2]*z[3]-1) ------------------------------------------------------ When the sum of the positive exponents is, 4 there are, 5, possibe monomials: {[1, 3, -4], [2, 2, -4], [4, -4, 0], [4, -2, -2], [4, -1, -3]} 3 x[1] x[2] For the coeff., ---------- 4 x[3] we have: 5 3 2 5 2 2 2 4 3 2 2 (q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 2 2 5 2 2 5 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 4 2 2 5 2 3 3 - q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 3 2 2 4 2 4 - q z[1] z[2] z[3] - q z[1] z[3] + q z[1] z[2] z[3] 3 2 3 2 3 2 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 4 2 2 2 2 4 - q z[1] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[3] 2 2 2 2 2 2 + q z[2] z[3] + q z[1] z[2] z[3] + q z[1] + q z[2] z[3] 2 2 2 + q z[2] z[3] + q z[1] + q z[1] - q z[2] - z[2] - z[2]) (q - z[2]) / 3 2 (-1 + z[1]) (z[2] - 1) / ((q z[1] z[3] - 1) (q z[3] - 1) / 2 (q z[2] z[3] - 1) (q z[1] z[3] - 1) (q z[1] z[3] - 1) (q z[3] - 1)) and in Maple input notation: (q^5*z[1]^3*z[2]*z[3]^2-q^5*z[1]^2*z[2]^2*z[3]^2+q^4*z[1]^3*z[2]^2*z[3]^2+q^5*z [1]^2*z[2]*z[3]^2-q^5*z[1]*z[2]^2*z[3]^2+q^5*z[1]*z[2]*z[3]^2-q^4*z[1]*z[2]^2*z [3]^2+q^5*z[2]*z[3]^2-q^3*z[1]^3*z[2]*z[3]-q^3*z[1]*z[2]^2*z[3]^2-q^4*z[1]^2*z[ 3]+q^4*z[1]*z[2]*z[3]-2*q^3*z[1]^2*z[2]*z[3]+q^3*z[1]*z[2]^2*z[3]-q^3*z[2]^2*z[ 3]^2-q^4*z[1]*z[3]-q^2*z[1]^2*z[2]*z[3]+q^2*z[1]*z[2]^2*z[3]-q^4*z[3]+q^2*z[2]^ 2*z[3]+q*z[1]*z[2]^2*z[3]+q^2*z[1]^2+q^2*z[2]*z[3]+q*z[2]^2*z[3]+q^2*z[1]+q*z[1 ]-q*z[2]-z[2]^2-z[2])*(q-z[2])*(-1+z[1])*(z[2]-1)/(q^3*z[1]*z[3]-1)/(q^2*z[3]-1 )/(q*z[2]*z[3]-1)/(q*z[1]*z[3]-1)/(q^2*z[1]*z[3]-1)/(q*z[3]-1) 2 2 x[1] x[2] For the coeff., ----------- 4 x[3] we have: 5 2 2 2 5 3 2 4 3 2 2 (q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 3 3 3 2 5 2 2 4 3 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 4 3 2 3 2 3 2 5 2 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 4 3 2 3 3 2 2 3 - q z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 4 3 2 3 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 2 3 2 2 2 2 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 4 3 2 3 2 2 - q z[2] z[3] + q z[1] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 2 3 2 2 3 2 2 + q z[2] z[3] - q z[1] z[2] z[3] - q z[2] z[3] + q z[2] z[3] 3 3 2 2 2 2 2 - q z[2] + z[1] z[2] + q z[2] - q z[1] - q z[2] + z[1] z[2] + q 2 / - q z[1] + z[1] z[2] - z[2] ) (-1 + z[1]) (z[2] - 1) / ( / 2 2 (q z[1] z[3] - 1) (q z[3] - 1) (q z[1] z[3] - 1) (q z[2] z[3] - 1) 2 (q z[2] z[3] - 1) (q z[3] - 1)) and in Maple input notation: (q^5*z[1]^2*z[2]^2*z[3]^2-q^5*z[1]*z[2]^3*z[3]^2-q^4*z[1]^3*z[2]^2*z[3]^2+q^3*z [1]^3*z[2]^3*z[3]^2+q^5*z[1]*z[2]^2*z[3]^2-q^4*z[1]^3*z[2]*z[3]^2-q^4*z[1]*z[2] ^3*z[3]^2+q^3*z[1]^2*z[2]^3*z[3]^2+q^5*z[2]^2*z[3]^2-q^4*z[2]^3*z[3]^2+q^3*z[1] *z[2]^3*z[3]-q^2*z[1]^2*z[2]^3*z[3]-q^4*z[1]*z[2]*z[3]+q^3*z[1]^2*z[2]*z[3]+q^3 *z[2]^3*z[3]+q^2*z[1]^3*z[2]*z[3]-q^2*z[1]^2*z[2]^2*z[3]-q*z[1]^2*z[2]^3*z[3]-q ^4*z[2]*z[3]+q^3*z[1]^2*z[3]-q^3*z[1]*z[2]*z[3]+q^2*z[1]^2*z[2]*z[3]+q^2*z[2]^3 *z[3]-q*z[1]^2*z[2]^2*z[3]-q^3*z[2]*z[3]+q^2*z[2]^2*z[3]-q*z[2]^3+z[1]*z[2]^3+q ^2*z[2]-q*z[1]^2-q*z[2]^2+z[1]*z[2]^2+q^2-q*z[1]+z[1]*z[2]-z[2]^2)*(-1+z[1])*(z [2]-1)/(q^2*z[1]*z[3]-1)/(q^2*z[3]-1)/(q*z[1]*z[3]-1)/(q*z[2]*z[3]-1)/(q^2*z[2] *z[3]-1)/(q*z[3]-1) 4 x[1] For the coeff., ----- 4 x[2] we have: 8 2 4 7 2 2 3 7 2 2 2 - (q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 2 3 6 2 2 3 8 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 4 5 2 2 3 7 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 3 6 2 2 6 2 2 - q z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 4 2 4 8 2 6 2 6 2 + q z[1] z[2] z[3] + q z[2] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 2 2 5 3 4 2 2 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 2 6 2 5 2 - q z[1] z[2] - q z[2] z[3] + 2 q z[1] z[2] z[3] 4 2 2 4 3 3 2 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 2 5 3 4 2 4 2 - q z[1] z[2] + q z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 4 3 2 2 3 2 - q z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] - q z[1] z[2] z[3] 3 3 2 2 2 5 4 4 2 - q z[1] z[3] + q z[1] z[2] z[3] + q z[2] + q z[1] z[2] + q z[3] 3 2 2 4 3 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[3] + q z[3] 2 2 2 2 2 3 - q z[1] z[2] - q z[1] z[3] - q z[1] z[2] - q - q z[1] z[3] + q z[1] 2 / 2 + z[1] ) (-z[1] + q) (-1 + z[1]) / ((q z[2] - 1) (q z[2] - 1) / 3 2 4 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1)) and in Maple input notation: -(q^8*z[1]*z[2]^2*z[3]^4-q^7*z[1]^2*z[2]^2*z[3]^3+q^7*z[1]^2*z[2]^2*z[3]^2+q^7* z[1]*z[2]^2*z[3]^3-q^6*z[1]^2*z[2]^2*z[3]^3-q^8*z[1]*z[2]^2*z[3]-q^6*z[1]*z[2]* z[3]^4-q^5*z[1]^2*z[2]^2*z[3]^3-q^7*z[1]*z[2]^2*z[3]-q^7*z[2]*z[3]^3+q^6*z[1]^2 *z[2]^2*z[3]+q^6*z[1]*z[2]^2*z[3]^2+q^4*z[1]^2*z[2]*z[3]^4+q^8*z[2]^2-q^6*z[1]* z[2]^2*z[3]+q^6*z[1]*z[2]*z[3]^2+q^5*z[1]^2*z[2]^2*z[3]-q^5*z[1]*z[2]*z[3]^3-q^ 4*z[1]^2*z[2]^2*z[3]^2-q^6*z[1]*z[2]^2-q^6*z[2]*z[3]^2+2*q^5*z[1]*z[2]*z[3]^2+q ^4*z[1]^2*z[2]^2*z[3]-q^4*z[1]*z[2]*z[3]^3+q^3*z[1]^2*z[2]*z[3]^3-q^5*z[1]*z[2] ^2+q^5*z[3]^3-q^4*z[1]^2*z[2]*z[3]+q^4*z[1]*z[2]*z[3]^2-q^5*z[2]*z[3]+q^4*z[1]* z[2]*z[3]+q^3*z[1]^2*z[2]^2-q^3*z[1]^2*z[2]*z[3]-q^3*z[1]*z[3]^3+q^2*z[1]^2*z[2 ]*z[3]^2+q^5*z[2]+q^4*z[1]*z[2]+q^4*z[3]^2+q^3*z[1]*z[2]*z[3]-q^2*z[1]^2*z[2]*z [3]-q^4*z[3]+q^3*z[3]^2-q^2*z[1]^2*z[2]-q^2*z[1]*z[3]^2-q*z[1]^2*z[2]-q^3-q*z[1 ]*z[3]+q*z[1]+z[1]^2)*(-z[1]+q)*(-1+z[1])/(q^2*z[2]-1)/(q*z[2]-1)/(q^3*z[2]*z[3 ]-1)/(q*z[2]*z[3]-1)/(q^2*z[2]*z[3]-1)/(q^4*z[2]*z[3]-1) 4 x[1] For the coeff., ----------- 2 2 x[2] x[3] we have: 6 2 3 3 7 3 2 (-1 + z[1]) (-z[1] + q) (-q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 3 2 5 2 2 3 7 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 6 3 4 2 3 2 5 2 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 3 4 2 3 4 2 2 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 3 4 2 2 3 2 3 + q z[2] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 3 2 3 5 2 4 3 4 2 + q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] - q z[1] z[2] z[3] 3 3 3 2 2 2 2 4 2 - q z[1] z[2] - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] 4 2 3 2 3 3 2 3 + q z[3] + q z[1] z[2] z[3] + q z[1] z[2] + q z[2] - q z[2] z[3] 2 2 2 3 2 2 2 + q z[1] z[2] z[3] - q z[1] z[3] - q z[2] - q z[1] z[2] - z[1] z[2] 2 / + q z[3] + q z[1] z[2] + z[1] z[2] - q) / ((q z[3] - 1) / 2 3 4 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] - 1)) and in Maple input notation: (-1+z[1])*(-z[1]+q)*(-q^6*z[1]^2*z[2]^3*z[3]^3+q^7*z[1]*z[2]^3*z[3]^2+q^6*z[1]* z[2]^3*z[3]^2+q^5*z[1]^2*z[2]^2*z[3]^3-q^7*z[2]^3*z[3]-q^6*z[1]*z[2]^3*z[3]-q^4 *z[1]^2*z[2]^3*z[3]^2+q^5*z[1]*z[2]^2*z[3]^2-q^5*z[1]*z[2]*z[3]^3+q^4*z[1]^2*z[ 2]^3*z[3]-q^4*z[1]^2*z[2]^2*z[3]^2+q^6*z[2]^3+q^4*z[1]*z[2]^2*z[3]^2+q^3*z[1]^2 *z[2]^3*z[3]+q^3*z[1]^2*z[2]*z[3]^3-q^5*z[2]^2*z[3]-q^4*z[1]*z[2]^3-q^4*z[1]*z[ 2]*z[3]^2-q^3*z[1]*z[2]^3-q^3*z[1]*z[2]*z[3]^2-q^2*z[1]^2*z[2]^2*z[3]+q^4*z[2]^ 2+q^4*z[3]^2+q^3*z[1]*z[2]*z[3]+q*z[1]^2*z[2]^3+q^3*z[2]^2-q^3*z[2]*z[3]+q^2*z[ 1]*z[2]*z[3]-q^2*z[1]*z[3]^2-q^3*z[2]-q*z[1]*z[2]^2-z[1]^2*z[2]^2+q^2*z[3]+q*z[ 1]*z[2]+z[1]*z[2]-q)/(q*z[3]-1)/(q^2*z[2]*z[3]-1)/(q^3*z[2]*z[3]-1)/(q^4*z[2]*z [3]-1)/(q*z[2]*z[3]-1)/(q*z[2]-1) 4 x[1] For the coeff., ---------- 3 x[2] x[3] we have: 6 3 2 6 3 (-z[1] + q) (-1 + z[1]) (q z[1] z[2] z[3] - q z[2] z[3] 5 3 5 2 2 4 2 2 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 3 2 3 3 2 2 2 5 3 5 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] - q z[2] z[3] 4 2 2 2 3 3 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] 2 2 2 4 2 4 3 - q z[1] z[2] z[3] + q z[2] - q z[2] z[3] + q z[1] z[2] z[3] 2 3 2 2 3 2 2 2 - q z[1] z[2] - q z[1] z[2] z[3] + q z[2] - q z[1] z[2] 2 2 3 3 2 2 2 + 2 q z[1] z[2] z[3] + z[1] z[2] - q z[3] + q z[2] - q z[1] z[2] 2 / + q z[1] z[3] - z[1] z[2] + q z[2] - q) / ((q z[3] - 1) / 4 3 2 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1)) and in Maple input notation: (-z[1]+q)*(-1+z[1])*(q^6*z[1]*z[2]^3*z[3]^2-q^6*z[2]^3*z[3]-q^5*z[1]*z[2]^3*z[3 ]+q^5*z[1]*z[2]^2*z[3]^2-q^4*z[1]^2*z[2]^2*z[3]^2+q^3*z[1]^2*z[2]^3*z[3]-q^3*z[ 1]^2*z[2]^2*z[3]^2+q^5*z[2]^3-q^5*z[2]^2*z[3]+q^4*z[1]*z[2]*z[3]^2+q^2*z[1]^2*z [2]^3*z[3]-q^3*z[1]*z[2]^3-q^2*z[1]^2*z[2]*z[3]^2+q^4*z[2]^2-q^4*z[2]*z[3]+q^3* z[1]*z[2]*z[3]-q^2*z[1]*z[2]^3-q^2*z[1]*z[2]^2*z[3]+q^3*z[2]^2-q^2*z[1]*z[2]^2+ 2*q^2*z[1]*z[2]*z[3]+z[1]^2*z[2]^3-q^3*z[3]+q^2*z[2]^2-q*z[1]*z[2]^2+q*z[1]*z[3 ]-z[1]*z[2]^2+q*z[2]-q)/(q*z[3]-1)/(q^4*z[2]*z[3]-1)/(q^3*z[2]*z[3]-1)/(q*z[2]* z[3]-1)/(q^2*z[2]*z[3]-1) ------------------------------------------------------ When the sum of the positive exponents is, 5 there are, 5, possibe monomials: {[1, 4, -5], [2, 3, -5], [5, -5, 0], [5, -2, -3], [5, -1, -4]} 4 x[1] x[2] For the coeff., ---------- 5 x[3] we have: 8 4 2 8 3 2 2 (z[2] - 1) (-1 + z[1]) (q - z[2]) (q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 4 2 2 8 3 2 8 2 2 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 2 3 2 5 4 3 2 8 2 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 2 2 7 2 2 2 6 2 3 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 3 3 2 8 2 7 2 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 4 6 2 2 2 6 3 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 2 3 2 4 3 3 2 8 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] z[3] 7 3 7 2 6 3 - q z[1] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 6 2 2 5 3 2 4 4 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 2 7 6 2 2 5 3 - q z[1] z[3] + q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 5 2 2 4 3 2 4 3 2 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 6 5 2 5 2 2 - q z[1] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] z[3] 4 3 4 2 2 4 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 3 3 2 3 3 2 7 5 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[3] + q z[1] 5 4 2 3 2 2 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 3 3 3 3 2 5 2 5 - q z[1] z[2] z[3] + q z[2] z[3] + q z[1] + 2 q z[2] z[3] 4 2 3 3 2 2 2 2 3 + q z[2] z[3] - q z[1] z[2] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 4 2 4 3 2 2 3 + q z[1] + q z[2] z[3] - q z[1] z[2] - q z[2] z[3] 3 3 2 3 2 2 - q z[1] z[2] z[3] + q z[1] - q z[1] z[2] - q z[1] z[2] 2 2 3 4 3 3 2 - q z[2] z[3] - q z[2] z[3] - q + q z[1] - q z[2] - q z[1] z[2] 2 3 2 / 4 - q z[1] z[2] + q z[2] + z[2] + z[2] ) / ((q z[1] z[3] - 1) / 2 3 (q z[3] - 1) (q z[2] z[3] - 1) (q z[1] z[3] - 1) (q z[1] z[3] - 1) 2 (q z[1] z[3] - 1) (q z[3] - 1)) and in Maple input notation: (z[2]-1)*(-1+z[1])*(q-z[2])*(q^8*z[1]^4*z[2]*z[3]^2-q^8*z[1]^3*z[2]^2*z[3]^2+q^ 7*z[1]^4*z[2]^2*z[3]^2+q^8*z[1]^3*z[2]*z[3]^2-q^8*z[1]^2*z[2]^2*z[3]^2+q^7*z[1] ^2*z[2]^3*z[3]^2-q^5*z[1]^4*z[2]^3*z[3]^2+q^8*z[1]^2*z[2]*z[3]^2-q^8*z[1]*z[2]^ 2*z[3]^2-q^7*z[1]^2*z[2]^2*z[3]^2+q^6*z[1]^2*z[2]^3*z[3]^2-q^5*z[1]^3*z[2]^3*z[ 3]^2+q^8*z[1]*z[2]*z[3]^2-q^7*z[1]*z[2]^2*z[3]^2-q^6*z[1]^4*z[2]*z[3]-q^6*z[1]^ 2*z[2]^2*z[3]^2+q^6*z[1]*z[2]^3*z[3]^2+q^5*z[1]^2*z[2]^3*z[3]^2-q^4*z[1]^3*z[2] ^3*z[3]^2+q^8*z[2]*z[3]^2-q^7*z[1]^3*z[3]+q^7*z[1]^2*z[2]*z[3]-2*q^6*z[1]^3*z[2 ]*z[3]-2*q^6*z[1]*z[2]^2*z[3]^2+q^5*z[1]*z[2]^3*z[3]^2+q^4*z[1]^4*z[2]^2*z[3]-q ^7*z[1]^2*z[3]+q^7*z[1]*z[2]*z[3]-q^6*z[2]^2*z[3]^2-q^5*z[1]^3*z[2]*z[3]-q^5*z[ 1]*z[2]^2*z[3]^2+2*q^4*z[1]^3*z[2]^2*z[3]+q^4*z[1]*z[2]^3*z[3]^2-q^7*z[1]*z[3]+ q^6*z[1]*z[2]*z[3]-q^5*z[1]*z[2]^2*z[3]-q^5*z[2]^2*z[3]^2-q^4*z[1]^3*z[2]*z[3]+ 2*q^4*z[1]^2*z[2]^2*z[3]-q^4*z[1]*z[2]^3*z[3]+q^3*z[1]^3*z[2]^2*z[3]+q^3*z[1]*z [2]^3*z[3]^2-q^7*z[3]+q^5*z[1]^3+2*q^5*z[1]*z[2]*z[3]-q^4*z[1]^2*z[2]*z[3]+2*q^ 3*z[1]^2*z[2]^2*z[3]-q^3*z[1]*z[2]^3*z[3]+q^3*z[2]^3*z[3]^2+q^5*z[1]^2+2*q^5*z[ 2]*z[3]+q^4*z[2]^2*z[3]-q^3*z[1]^3*z[2]+q^2*z[1]^2*z[2]^2*z[3]-q^2*z[1]*z[2]^3* z[3]+q^4*z[1]^2+q^4*z[2]*z[3]-q^3*z[1]^2*z[2]-q^2*z[2]^3*z[3]-q*z[1]*z[2]^3*z[3 ]+q^3*z[1]^2-q^3*z[1]*z[2]-q^2*z[1]^2*z[2]-q^2*z[2]^2*z[3]-q*z[2]^3*z[3]-q^4+q^ 3*z[1]-q^3*z[2]-q^2*z[1]*z[2]-q*z[1]*z[2]+q*z[2]^2+z[2]^3+z[2]^2)/(q^4*z[1]*z[3 ]-1)/(q^2*z[3]-1)/(q*z[2]*z[3]-1)/(q^3*z[1]*z[3]-1)/(q*z[1]*z[3]-1)/(q^2*z[1]*z [3]-1)/(q*z[3]-1) 2 3 x[1] x[2] For the coeff., ----------- 5 x[3] we have: 6 3 2 2 6 2 3 2 (z[2] - 1) (-1 + z[1]) (q - z[2]) (q z[1] z[2] z[3] - q z[1] z[2] z[3] 5 4 2 2 5 3 3 2 6 2 2 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 3 2 5 4 2 4 4 2 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 4 3 3 2 6 2 2 5 3 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 3 3 3 2 6 2 2 4 3 2 + q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 3 2 3 2 5 2 5 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 4 3 4 2 2 4 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 4 3 2 3 4 3 2 3 - q z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 5 4 3 4 2 - q z[1] z[2] z[3] + q z[1] z[3] - q z[1] z[2] z[3] 4 2 3 3 3 2 2 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 3 3 2 2 3 5 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] z[3] 4 3 2 3 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 2 3 2 2 2 2 3 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 4 3 2 2 3 2 2 - q z[2] z[3] + q z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 2 3 2 2 3 2 2 2 2 2 - q z[1] + q z[2] z[3] + q z[1] - q z[1] + q z[1] z[2] - q z[2] 2 3 3 3 2 + q z[1] z[2] - q z[2] + z[1] z[2] + q - q z[1] + q z[1] z[2] 2 2 2 / - q z[2] + z[1] z[2] - q z[2] + z[1] z[2] - z[2] ) / ( / 3 2 2 (q z[1] z[3] - 1) (q z[3] - 1) (q z[1] z[3] - 1) (q z[1] z[3] - 1) 2 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[3] - 1)) and in Maple input notation: (z[2]-1)*(-1+z[1])*(q-z[2])*(q^6*z[1]^3*z[2]^2*z[3]^2-q^6*z[1]^2*z[2]^3*z[3]^2- q^5*z[1]^4*z[2]^2*z[3]^2+q^5*z[1]^3*z[2]^3*z[3]^2+q^6*z[1]^2*z[2]^2*z[3]^2-q^6* z[1]*z[2]^3*z[3]^2-q^5*z[1]^4*z[2]*z[3]^2-q^4*z[1]^4*z[2]^2*z[3]^2+q^4*z[1]^3*z [2]^3*z[3]^2+q^6*z[1]*z[2]^2*z[3]^2-q^5*z[1]*z[2]^3*z[3]^2+q^3*z[1]^3*z[2]^3*z[ 3]^2+q^6*z[2]^2*z[3]^2-q^4*z[1]*z[2]^3*z[3]^2+q^3*z[1]^2*z[2]^3*z[3]^2-q^5*z[1] ^2*z[2]*z[3]+q^5*z[1]*z[2]^2*z[3]+q^4*z[1]^3*z[2]*z[3]-q^4*z[1]^2*z[2]^2*z[3]+q ^4*z[1]*z[2]^3*z[3]-q^4*z[2]^3*z[3]^2+q^3*z[1]^4*z[2]*z[3]-q^3*z[1]^2*z[2]^3*z[ 3]-q^5*z[1]*z[2]*z[3]+q^4*z[1]^3*z[3]-q^4*z[1]^2*z[2]*z[3]+q^4*z[1]*z[2]^2*z[3] +2*q^3*z[1]^3*z[2]*z[3]-2*q^3*z[1]^2*z[2]^2*z[3]+q^3*z[1]*z[2]^3*z[3]-q^2*z[1]^ 2*z[2]^3*z[3]-q^5*z[2]*z[3]-q^4*z[1]*z[2]*z[3]+q^3*z[1]*z[2]^2*z[3]+q^3*z[2]^3* z[3]+q^2*z[1]^3*z[2]*z[3]-2*q^2*z[1]^2*z[2]^2*z[3]-q*z[1]^2*z[2]^3*z[3]-q^4*z[2 ]*z[3]+q^3*z[2]^2*z[3]+q^2*z[2]^3*z[3]-q*z[1]^2*z[2]^2*z[3]-q^2*z[1]^3+q^2*z[2] ^2*z[3]+q^3*z[1]-q^2*z[1]^2+q^2*z[1]*z[2]-q^2*z[2]^2+q*z[1]*z[2]^2-q*z[2]^3+z[1 ]*z[2]^3+q^3-q*z[1]^2+q*z[1]*z[2]-q*z[2]^2+z[1]*z[2]^2-q*z[2]+z[1]*z[2]-z[2]^2) /(q^3*z[1]*z[3]-1)/(q^2*z[3]-1)/(q*z[1]*z[3]-1)/(q^2*z[1]*z[3]-1)/(q*z[2]*z[3]-\ 1)/(q^2*z[2]*z[3]-1)/(q*z[3]-1) 5 x[1] For the coeff., ----- 5 x[2] we have: 2 10 2 5 9 2 2 4 - (q - z[1]) (q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 2 2 5 9 2 4 8 2 2 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 2 2 2 8 2 2 3 8 5 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 2 9 4 8 2 2 2 - q z[1] z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] 8 2 3 7 2 2 3 9 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 3 7 2 2 2 7 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 6 2 2 3 5 2 5 10 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] 8 2 8 3 7 2 2 - q z[1] z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] 7 2 2 7 3 6 4 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 5 2 2 3 7 2 7 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 4 6 2 2 5 4 + q z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 4 2 4 7 2 7 7 2 + q z[1] z[2] z[3] - q z[1] z[2] - q z[1] z[2] z[3] - q z[2] z[3] 6 2 5 2 2 4 2 2 2 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 2 6 6 3 5 2 - q z[1] z[2] - q z[1] z[2] z[3] + q z[3] - q z[1] z[2] z[3] 5 2 4 2 2 4 3 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 4 4 3 2 3 7 6 6 2 - q z[1] z[3] + q z[1] z[2] z[3] + q z[2] - q z[2] z[3] - q z[3] 5 3 4 2 4 2 6 + q z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[2] 5 4 3 3 2 2 3 2 + q z[1] z[2] + q z[3] + q z[1] z[2] - q z[1] z[2] z[3] 3 3 2 2 2 5 3 - q z[1] z[3] + q z[1] z[2] z[3] - q z[3] + q z[1] z[2] z[3] 2 2 4 3 3 2 2 2 - q z[1] z[2] z[3] - q z[3] - q z[1] z[2] + q z[3] - q z[1] z[2] 2 2 3 2 2 - q z[1] z[3] - q z[3] - q z[1] z[2] + q z[1] - q z[1] z[3] + q z[1] 2 / 2 + z[1] ) (-1 + z[1]) (-z[1] + q) / ((q z[2] - 1) (q z[2] - 1) / 4 5 3 2 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1)) and in Maple input notation: -(q^2-z[1])*(q^10*z[1]*z[2]^2*z[3]^5-q^9*z[1]^2*z[2]^2*z[3]^4+q^8*z[1]^2*z[2]^2 *z[3]^5+q^9*z[1]*z[2]^2*z[3]^4-q^8*z[1]^2*z[2]^2*z[3]^4+q^9*z[1]^2*z[2]^2*z[3]^ 2-q^8*z[1]^2*z[2]^2*z[3]^3-q^8*z[1]*z[2]*z[3]^5-q^10*z[1]*z[2]^2*z[3]-q^9*z[2]* z[3]^4+q^8*z[1]^2*z[2]^2*z[3]^2+q^8*z[1]*z[2]^2*z[3]^3-2*q^7*z[1]^2*z[2]^2*z[3] ^3-q^9*z[1]*z[2]^2*z[3]+q^8*z[1]*z[2]*z[3]^3+q^7*z[1]^2*z[2]^2*z[3]^2-2*q^7*z[1 ]*z[2]*z[3]^4-q^6*z[1]^2*z[2]^2*z[3]^3+q^5*z[1]^2*z[2]*z[3]^5+q^10*z[2]^2-q^8*z [1]*z[2]^2*z[3]-q^8*z[2]*z[3]^3+q^7*z[1]^2*z[2]^2*z[3]+q^7*z[1]*z[2]^2*z[3]^2+2 *q^7*z[1]*z[2]*z[3]^3-q^6*z[1]*z[2]*z[3]^4-q^5*z[1]^2*z[2]^2*z[3]^3-q^7*z[1]*z[ 2]^2*z[3]+q^7*z[1]*z[2]*z[3]^2+q^7*z[3]^4+q^6*z[1]^2*z[2]^2*z[3]-q^5*z[1]*z[2]* z[3]^4+q^4*z[1]^2*z[2]*z[3]^4-q^7*z[1]*z[2]^2-q^7*z[1]*z[2]*z[3]-q^7*z[2]*z[3]^ 2+3*q^6*z[1]*z[2]*z[3]^2+q^5*z[1]^2*z[2]^2*z[3]-q^4*z[1]^2*z[2]^2*z[3]^2-q^6*z[ 1]*z[2]^2-q^6*z[1]*z[2]*z[3]+q^6*z[3]^3-q^5*z[1]^2*z[2]*z[3]+2*q^5*z[1]*z[2]*z[ 3]^2+q^4*z[1]^2*z[2]^2*z[3]-q^4*z[1]*z[2]*z[3]^3-q^4*z[1]*z[3]^4+q^3*z[1]^2*z[2 ]*z[3]^3+q^7*z[2]-q^6*z[2]*z[3]-q^6*z[3]^2+q^5*z[3]^3-q^4*z[1]^2*z[2]*z[3]+2*q^ 4*z[1]*z[2]*z[3]^2+q^6*z[2]+q^5*z[1]*z[2]+q^4*z[3]^3+q^3*z[1]^2*z[2]^2-q^3*z[1] ^2*z[2]*z[3]-q^3*z[1]*z[3]^3+q^2*z[1]^2*z[2]*z[3]^2-q^5*z[3]+q^3*z[1]*z[2]*z[3] -q^2*z[1]^2*z[2]*z[3]-q^4*z[3]-q^3*z[1]*z[2]+q^3*z[3]^2-q^2*z[1]^2*z[2]-q^2*z[1 ]*z[3]^2-q^3*z[3]-q*z[1]^2*z[2]+q^2*z[1]-q*z[1]*z[3]+q*z[1]+z[1]^2)*(-1+z[1])*( -z[1]+q)/(q^2*z[2]-1)/(q*z[2]-1)/(q^4*z[2]*z[3]-1)/(q^5*z[2]*z[3]-1)/(q^3*z[2]* z[3]-1)/(q^2*z[2]*z[3]-1)/(q*z[2]*z[3]-1) 5 x[1] For the coeff., ----------- 2 3 x[2] x[3] we have: 8 2 4 3 9 4 2 8 4 2 (-q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 2 4 2 9 4 8 4 + q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 6 2 3 3 7 4 7 3 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 2 3 2 6 2 2 3 8 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] 6 3 2 5 2 4 5 2 3 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 5 2 2 3 7 3 6 3 + q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 4 2 4 4 2 3 2 5 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] 5 3 5 2 2 3 2 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 3 5 2 5 2 4 4 + q z[2] + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] 4 3 4 2 2 3 2 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 3 2 3 5 3 5 2 4 2 + q z[1] z[2] z[3] + q z[2] - q z[2] z[3] + 2 q z[1] z[2] z[3] 4 2 3 3 2 2 3 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 5 2 5 2 4 3 3 2 - q z[2] + q z[3] + q z[2] + 2 q z[1] z[2] z[3] 3 2 2 4 2 3 2 2 - q z[1] z[2] z[3] + q z[1] z[2] - q z[1] z[2] + q z[1] z[2] z[3] 3 2 2 2 2 3 - q z[2] z[3] + q z[1] z[2] - q z[1] z[3] - q z[1] z[2] 2 3 3 3 2 2 2 2 - z[1] z[2] - q z[2] + q z[3] + q z[2] + q z[1] z[2] - q z[2] 2 2 2 / + q z[3] + z[1] z[2] - q z[2]) (-1 + z[1]) (-z[1] + q) (q - z[1]) / ( / 2 (q z[2] - 1) (q z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) 3 4 5 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1)) and in Maple input notation: (-q^8*z[1]^2*z[2]^4*z[3]^3+q^9*z[1]*z[2]^4*z[3]^2+q^8*z[1]*z[2]^4*z[3]^2+q^7*z[ 1]^2*z[2]^4*z[3]^2-q^9*z[2]^4*z[3]-q^8*z[1]*z[2]^4*z[3]-q^6*z[1]^2*z[2]^3*z[3]^ 3-q^7*z[1]*z[2]^4*z[3]+q^7*z[1]*z[2]^3*z[3]^2-q^6*z[1]^2*z[2]^3*z[3]^2+q^6*z[1] ^2*z[2]^2*z[3]^3+q^8*z[2]^4+q^6*z[1]*z[2]^3*z[3]^2+q^5*z[1]^2*z[2]^4*z[3]-q^5*z [1]^2*z[2]^3*z[3]^2+q^5*z[1]^2*z[2]^2*z[3]^3-q^7*z[2]^3*z[3]-q^6*z[1]*z[2]*z[3] ^3+q^4*z[1]^2*z[2]^4*z[3]-q^4*z[1]^2*z[2]^3*z[3]^2-q^5*z[1]*z[2]^4-q^5*z[1]*z[2 ]^3*z[3]+q^5*z[1]*z[2]^2*z[3]^2+q^3*z[1]^2*z[2]^4*z[3]+q^6*z[2]^3+q^5*z[1]*z[2] ^2*z[3]-q^5*z[1]*z[2]*z[3]^2-q^4*z[1]*z[2]^4-q^4*z[1]*z[2]^3*z[3]+q^4*z[1]*z[2] ^2*z[3]^2-q^3*z[1]^2*z[2]^3*z[3]+q^3*z[1]^2*z[2]*z[3]^3+q^5*z[2]^3-q^5*z[2]^2*z [3]+2*q^4*z[1]*z[2]^2*z[3]-2*q^4*z[1]*z[2]*z[3]^2-q^3*z[1]*z[2]^3*z[3]-q^2*z[1] ^2*z[2]^3*z[3]-q^5*z[2]^2+q^5*z[3]^2+q^4*z[2]^3+2*q^3*z[1]*z[2]^2*z[3]-q^3*z[1] *z[2]*z[3]^2+q*z[1]^2*z[2]^4-q^2*z[1]*z[2]^3+q^2*z[1]*z[2]^2*z[3]-q^3*z[2]*z[3] +q^2*z[1]*z[2]^2-q^2*z[1]*z[3]^2-q*z[1]*z[2]^3-z[1]^2*z[2]^3-q^3*z[2]+q^3*z[3]+ q^2*z[2]^2+q*z[1]*z[2]^2-q^2*z[2]+q^2*z[3]+z[1]*z[2]^2-q*z[2])*(-1+z[1])*(-z[1] +q)*(q^2-z[1])/(q*z[2]-1)/(q*z[3]-1)/(q^2*z[2]*z[3]-1)/(q*z[2]*z[3]-1)/(q^3*z[2 ]*z[3]-1)/(q^4*z[2]*z[3]-1)/(q^5*z[2]*z[3]-1) 5 x[1] For the coeff., ---------- 4 x[2] x[3] we have: 2 10 4 3 (-z[1] + q) (-1 + z[1]) (q - z[1]) (q z[1] z[2] z[3] 8 2 4 3 10 4 2 9 4 2 + q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 9 3 3 8 2 3 3 8 4 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 9 4 9 3 2 8 2 3 + q z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] 7 2 2 3 8 4 7 4 - q z[1] z[2] z[3] + q z[2] z[3] + q z[1] z[2] z[3] 7 3 2 6 2 3 2 6 2 2 3 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 5 2 4 2 8 3 8 2 2 + q z[1] z[2] z[3] + q z[2] z[3] - q z[2] z[3] 7 2 2 7 3 6 3 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 5 2 3 2 5 2 2 3 7 4 7 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] + 2 q z[2] z[3] 5 4 5 3 2 4 2 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 4 2 3 2 7 2 6 2 + q z[1] z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] 6 3 4 2 2 2 4 2 3 + q z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 3 2 4 6 3 6 2 5 2 - q z[1] z[2] z[3] - q z[2] + q z[2] z[3] - q z[1] z[2] z[3] 5 2 5 3 4 4 4 2 2 + q z[1] z[2] z[3] + q z[2] z[3] + q z[1] z[2] - q z[1] z[2] z[3] 3 2 2 2 6 2 5 3 5 2 + q z[1] z[2] z[3] - q z[3] - q z[2] + q z[2] z[3] 4 2 4 2 3 4 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] 3 3 4 3 4 2 3 3 + q z[1] z[2] z[3] - q z[2] + q z[2] z[3] + q z[1] z[2] 3 2 2 2 2 3 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 3 2 3 3 2 3 2 4 3 2 + q z[1] z[3] - q z[2] + q z[1] z[2] - z[1] z[2] - q z[2] 3 2 3 3 3 + q z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] + q z[2] - q z[3] 2 2 3 2 2 / - q z[2] + z[1] z[2] + q z[2] - q z[1] z[3] - q z[2] + q) / ( / 2 2 3 5 (q z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) 4 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[3] - 1)) and in Maple input notation: (-z[1]+q)*(-1+z[1])*(q^2-z[1])*(q^10*z[1]*z[2]^4*z[3]^3+q^8*z[1]^2*z[2]^4*z[3]^ 3-q^10*z[2]^4*z[3]^2-q^9*z[1]*z[2]^4*z[3]^2+q^9*z[1]*z[2]^3*z[3]^3-q^8*z[1]^2*z [2]^3*z[3]^3-2*q^8*z[1]*z[2]^4*z[3]^2+q^9*z[2]^4*z[3]-q^9*z[2]^3*z[3]^2+q^8*z[1 ]*z[2]^2*z[3]^3-q^7*z[1]^2*z[2]^2*z[3]^3+q^8*z[2]^4*z[3]+q^7*z[1]*z[2]^4*z[3]-2 *q^7*z[1]*z[2]^3*z[3]^2+q^6*z[1]^2*z[2]^3*z[3]^2-q^6*z[1]^2*z[2]^2*z[3]^3+q^5*z [1]^2*z[2]^4*z[3]^2+q^8*z[2]^3*z[3]-q^8*z[2]^2*z[3]^2+q^7*z[1]*z[2]^2*z[3]^2+q^ 7*z[1]*z[2]*z[3]^3-q^6*z[1]*z[2]^3*z[3]^2+q^5*z[1]^2*z[2]^3*z[3]^2-q^5*z[1]^2*z [2]^2*z[3]^3-q^7*z[2]^4+2*q^7*z[2]^3*z[3]-q^5*z[1]*z[2]^4*z[3]-q^5*z[1]*z[2]^3* z[3]^2-q^4*z[1]^2*z[2]^4*z[3]+q^4*z[1]^2*z[2]^3*z[3]^2-q^7*z[2]*z[3]^2+q^6*z[1] *z[2]*z[3]^2+q^6*z[2]^3*z[3]+q^4*z[1]^2*z[2]^2*z[3]^2-q^4*z[1]^2*z[2]*z[3]^3-q^ 3*z[1]^2*z[2]^4*z[3]-q^6*z[2]^3+q^6*z[2]^2*z[3]-q^5*z[1]*z[2]^2*z[3]+q^5*z[1]*z [2]*z[3]^2+q^5*z[2]^3*z[3]+q^4*z[1]*z[2]^4-q^4*z[1]*z[2]^2*z[3]^2+q^3*z[1]^2*z[ 2]^2*z[3]^2-q^6*z[3]^2-q^5*z[2]^3+q^5*z[2]^2*z[3]-2*q^4*z[1]*z[2]^2*z[3]+2*q^4* z[1]*z[2]*z[3]^2+q^3*z[1]*z[2]^4+q^3*z[1]*z[2]^3*z[3]-q^4*z[2]^3+q^4*z[2]^2*z[3 ]+q^3*z[1]*z[2]^3-2*q^3*z[1]*z[2]^2*z[3]+q^2*z[1]^2*z[2]*z[3]^2-q^3*z[1]*z[2]*z [3]+q^3*z[1]*z[3]^2-q^3*z[2]^3+q^2*z[1]*z[2]^3-z[1]^2*z[2]^4-q^3*z[2]^2+q^3*z[2 ]*z[3]-2*q^2*z[1]*z[2]*z[3]+q*z[1]*z[2]^3+q^3*z[2]-q^3*z[3]-q^2*z[2]^2+z[1]*z[2 ]^3+q^2*z[2]-q*z[1]*z[3]-q*z[2]^2+q)/(q^2*z[3]-1)/(q^2*z[2]*z[3]-1)/(q^3*z[2]*z [3]-1)/(q^5*z[2]*z[3]-1)/(q^4*z[2]*z[3]-1)/(q*z[2]*z[3]-1)/(q*z[3]-1) ------------------------------------------------------ When the sum of the positive exponents is, 6 there are, 7, possibe monomials: {[1, 5, -6], [2, 4, -6], [3, 3, -6], [6, -6, 0], [6, -3, -3], [6, -2, -4], [6, -1, -5]} 5 x[1] x[2] For the coeff., ---------- 6 x[3] we have: 2 13 5 3 (z[2] - 1) (-1 + z[1]) (q - z[2]) (q - z[2]) (q z[1] z[2] z[3] 13 4 2 3 12 5 2 3 13 4 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 3 2 3 12 3 3 3 11 5 2 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 4 3 3 13 3 3 13 2 2 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 3 2 3 12 2 3 3 11 4 2 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 4 3 3 13 2 3 13 2 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 2 2 3 11 5 2 11 2 3 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 4 3 3 13 3 12 4 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[3] 12 3 2 12 2 3 11 4 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 2 2 3 10 5 2 10 4 2 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 2 3 3 9 5 2 2 9 3 3 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 4 3 3 13 3 12 3 2 - q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[3] 12 2 2 11 2 2 2 11 2 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 4 2 10 3 2 2 10 2 2 3 - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 3 3 9 2 3 3 8 3 3 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 2 2 12 2 11 2 2 - q z[1] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 3 2 10 2 3 9 4 2 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 3 2 2 9 2 3 2 9 3 3 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 2 3 3 7 3 3 3 6 5 3 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 2 11 2 10 4 10 2 3 - q z[1] z[3] + q z[1] z[2] z[3] + q z[1] z[3] - q z[2] z[3] 9 3 2 9 2 3 8 5 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 4 2 8 3 2 2 8 2 3 2 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 3 3 6 4 3 2 12 2 10 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[3] + q z[1] z[3] 10 2 9 4 9 3 + q z[1] z[2] z[3] + q z[1] z[3] - q z[1] z[2] z[3] 9 2 2 9 2 3 8 4 - q z[1] z[2] z[3] - q z[2] z[3] + 2 q z[1] z[2] z[3] 8 3 2 8 2 2 2 8 3 2 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 3 2 2 7 2 3 2 7 3 3 + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 4 2 2 6 3 3 2 5 4 3 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 3 9 2 9 2 + 2 q z[1] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 8 2 2 7 4 7 2 2 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 7 3 2 6 3 2 2 6 2 3 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 3 3 5 5 2 5 3 3 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 2 9 2 8 3 8 2 + q z[1] z[3] + 2 q z[2] z[3] + q z[1] z[3] - 2 q z[1] z[2] z[3] 8 2 2 7 2 2 6 4 + q z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 2 2 2 6 3 2 6 3 3 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[2] z[3] 5 4 2 5 2 3 2 4 3 3 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 2 8 2 7 4 7 3 + q z[1] z[3] + q z[2] z[3] - q z[1] + q z[1] z[3] 7 2 7 2 7 2 2 - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 6 3 5 4 5 3 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 5 2 2 2 5 3 2 4 4 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 3 7 2 7 6 2 - q z[1] + q z[1] z[3] - 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 6 2 5 3 5 2 2 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 5 3 5 3 2 4 3 2 + q z[1] z[2] z[3] - q z[2] z[3] - 2 q z[1] z[2] z[3] 4 3 2 8 7 7 6 3 - 2 q z[1] z[2] z[3] - q z[3] + q z[1] z[3] - q z[2] z[3] - q z[1] 6 5 2 5 2 - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 2 2 4 4 4 3 - q z[2] z[3] + q z[1] z[2] + q z[1] z[2] z[3] 4 2 2 4 3 4 3 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 3 3 2 3 3 2 6 5 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[2] z[3] - q z[1] 5 4 3 4 2 - q z[1] z[2] z[3] + q z[1] z[2] + q z[1] z[2] z[3] 3 2 2 3 3 3 3 2 6 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] + q z[1] 5 2 4 3 4 2 4 4 2 - q z[1] - q z[1] + q z[1] z[2] - q z[1] z[2] z[3] + q z[2] z[3] 3 3 3 2 3 3 2 2 2 + q z[1] z[2] + q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 2 3 5 4 2 4 3 2 + q z[1] z[2] z[3] + q z[1] - q z[1] + q z[1] z[2] + q z[1] z[2] 3 2 2 3 3 5 3 2 + 2 q z[2] z[3] + q z[2] z[3] + q z[1] z[2] z[3] + q - q z[1] 3 2 2 2 2 3 + q z[1] z[2] + q z[1] z[2] + q z[2] z[3] + q z[2] z[3] 2 2 2 2 2 3 + q z[1] z[2] - q z[2] - q z[2] + q z[1] z[2] - q z[2] - z[2] 2 / 5 3 4 - z[2] ) / ((q z[1] z[3] - 1) (q z[3] - 1) (q z[1] z[3] - 1) / 2 2 (q z[3] - 1) (q z[2] z[3] - 1) (q z[1] z[3] - 1) (q z[1] z[3] - 1) 3 (q z[1] z[3] - 1) (q z[3] - 1)) and in Maple input notation: (z[2]-1)*(-1+z[1])*(q-z[2])*(q^2-z[2])*(q^13*z[1]^5*z[2]*z[3]^3-q^13*z[1]^4*z[2 ]^2*z[3]^3+q^12*z[1]^5*z[2]^2*z[3]^3+q^13*z[1]^4*z[2]*z[3]^3-q^13*z[1]^3*z[2]^2 *z[3]^3+q^12*z[1]^3*z[2]^3*z[3]^3+q^11*z[1]^5*z[2]^2*z[3]^3-q^11*z[1]^4*z[2]^3* z[3]^3+q^13*z[1]^3*z[2]*z[3]^3-q^13*z[1]^2*z[2]^2*z[3]^3-q^12*z[1]^3*z[2]^2*z[3 ]^3+q^12*z[1]^2*z[2]^3*z[3]^3+q^11*z[1]^4*z[2]^2*z[3]^3-q^10*z[1]^4*z[2]^3*z[3] ^3+q^13*z[1]^2*z[2]*z[3]^3-q^13*z[1]*z[2]^2*z[3]^3-q^12*z[1]^2*z[2]^2*z[3]^3-q^ 11*z[1]^5*z[2]*z[3]^2+q^11*z[1]^2*z[2]^3*z[3]^3-q^9*z[1]^4*z[2]^3*z[3]^3+q^13*z [1]*z[2]*z[3]^3-q^12*z[1]^4*z[3]^2+q^12*z[1]^3*z[2]*z[3]^2-q^12*z[1]*z[2]^2*z[3 ]^3-2*q^11*z[1]^4*z[2]*z[3]^2-q^11*z[1]^2*z[2]^2*z[3]^3-q^10*z[1]^5*z[2]*z[3]^2 +q^10*z[1]^4*z[2]^2*z[3]^2+2*q^10*z[1]^2*z[2]^3*z[3]^3-q^9*z[1]^5*z[2]^2*z[3]^2 -q^9*z[1]^3*z[2]^3*z[3]^3-q^8*z[1]^4*z[2]^3*z[3]^3+q^13*z[2]*z[3]^3-q^12*z[1]^3 *z[3]^2+q^12*z[1]^2*z[2]*z[3]^2-q^11*z[1]^2*z[2]^2*z[3]^2-q^11*z[1]*z[2]^2*z[3] ^3-3*q^10*z[1]^4*z[2]*z[3]^2+2*q^10*z[1]^3*z[2]^2*z[3]^2-q^10*z[1]^2*z[2]^2*z[3 ]^3+q^10*z[1]*z[2]^3*z[3]^3+q^9*z[1]^2*z[2]^3*z[3]^3-q^8*z[1]^3*z[2]^3*z[3]^3-q ^12*z[1]^2*z[3]^2+q^12*z[1]*z[2]*z[3]^2+q^11*z[1]^2*z[2]*z[3]^2-2*q^10*z[1]^3*z [2]*z[3]^2-2*q^10*z[1]*z[2]^2*z[3]^3-q^9*z[1]^4*z[2]*z[3]^2+3*q^9*z[1]^3*z[2]^2 *z[3]^2-q^9*z[1]^2*z[2]^3*z[3]^2+q^9*z[1]*z[2]^3*z[3]^3+q^8*z[1]^2*z[2]^3*z[3]^ 3-q^7*z[1]^3*z[2]^3*z[3]^3+q^6*z[1]^5*z[2]^3*z[3]^2-q^12*z[1]*z[3]^2+q^11*z[1]* z[2]*z[3]^2+q^10*z[1]^4*z[3]-q^10*z[2]^2*z[3]^3-q^9*z[1]^3*z[2]*z[3]^2-q^9*z[1] *z[2]^2*z[3]^3+q^8*z[1]^5*z[2]*z[3]-q^8*z[1]^4*z[2]*z[3]^2+4*q^8*z[1]^3*z[2]^2* z[3]^2-q^8*z[1]^2*z[2]^3*z[3]^2+q^8*z[1]*z[2]^3*z[3]^3+q^6*z[1]^4*z[2]^3*z[3]^2 -q^12*z[3]^2+q^10*z[1]^3*z[3]+q^10*z[1]*z[2]*z[3]^2+q^9*z[1]^4*z[3]-q^9*z[1]^3* z[2]*z[3]-q^9*z[1]*z[2]^2*z[3]^2-q^9*z[2]^2*z[3]^3+2*q^8*z[1]^4*z[2]*z[3]-q^8*z [1]^3*z[2]*z[3]^2+3*q^8*z[1]^2*z[2]^2*z[3]^2-q^8*z[1]*z[2]^3*z[3]^2+3*q^7*z[1]^ 3*z[2]^2*z[3]^2-2*q^7*z[1]^2*z[2]^3*z[3]^2+q^7*z[1]*z[2]^3*z[3]^3-q^6*z[1]^4*z[ 2]^2*z[3]^2+q^6*z[1]^3*z[2]^3*z[3]^2+q^5*z[1]^4*z[2]^3*z[3]^2+2*q^9*z[1]^3*z[3] -q^9*z[1]^2*z[2]*z[3]+2*q^9*z[1]*z[2]*z[3]^2-q^8*z[1]^2*z[2]*z[3]^2+q^7*z[1]^4* z[2]*z[3]+3*q^7*z[1]^2*z[2]^2*z[3]^2-2*q^7*z[1]*z[2]^3*z[3]^2+q^6*z[1]^3*z[2]^2 *z[3]^2-q^6*z[1]^2*z[2]^3*z[3]^2+q^6*z[1]*z[2]^3*z[3]^3-q^5*z[1]^5*z[2]^2*z[3]+ q^5*z[1]^3*z[2]^3*z[3]^2+q^9*z[1]^2*z[3]+2*q^9*z[2]*z[3]^2+q^8*z[1]^3*z[3]-2*q^ 8*z[1]^2*z[2]*z[3]+q^8*z[2]^2*z[3]^2+q^7*z[1]*z[2]^2*z[3]^2+q^6*z[1]^4*z[2]*z[3 ]+2*q^6*z[1]^2*z[2]^2*z[3]^2-2*q^6*z[1]*z[2]^3*z[3]^2+q^6*z[2]^3*z[3]^3-2*q^5*z [1]^4*z[2]^2*z[3]-q^5*z[1]^2*z[2]^3*z[3]^2+q^4*z[1]^3*z[2]^3*z[3]^2+q^8*z[1]^2* z[3]+q^8*z[2]*z[3]^2-q^7*z[1]^4+q^7*z[1]^3*z[3]-4*q^7*z[1]^2*z[2]*z[3]+q^7*z[1] *z[2]^2*z[3]+q^7*z[2]^2*z[3]^2+q^6*z[1]^3*z[2]*z[3]+q^5*z[1]^4*z[2]*z[3]-2*q^5* z[1]^3*z[2]^2*z[3]+q^5*z[1]^2*z[2]^2*z[3]^2-2*q^5*z[1]*z[2]^3*z[3]^2-q^4*z[1]^4 *z[2]^2*z[3]-q^7*z[1]^3+q^7*z[1]^2*z[3]-2*q^7*z[1]*z[2]*z[3]-3*q^6*z[1]^2*z[2]* z[3]+2*q^6*z[1]*z[2]^2*z[3]+2*q^5*z[1]^3*z[2]*z[3]-2*q^5*z[1]^2*z[2]^2*z[3]+q^5 *z[1]*z[2]^3*z[3]-q^5*z[2]^3*z[3]^2-2*q^4*z[1]^3*z[2]^2*z[3]-2*q^4*z[1]*z[2]^3* z[3]^2-q^8*z[3]+q^7*z[1]*z[3]-q^7*z[2]*z[3]-q^6*z[1]^3-3*q^6*z[1]*z[2]*z[3]-q^5 *z[1]^2*z[2]*z[3]+q^5*z[1]*z[2]^2*z[3]-q^5*z[2]^2*z[3]^2+q^4*z[1]^4*z[2]+q^4*z[ 1]^3*z[2]*z[3]-2*q^4*z[1]^2*z[2]^2*z[3]+q^4*z[1]*z[2]^3*z[3]-q^4*z[2]^3*z[3]^2- q^3*z[1]^3*z[2]^2*z[3]-q^3*z[1]*z[2]^3*z[3]^2-2*q^6*z[2]*z[3]-q^5*z[1]^3-q^5*z[ 1]*z[2]*z[3]+q^4*z[1]^3*z[2]+q^4*z[1]*z[2]^2*z[3]-2*q^3*z[1]^2*z[2]^2*z[3]+q^3* z[1]*z[2]^3*z[3]-q^3*z[2]^3*z[3]^2+q^6*z[1]-q^5*z[1]^2-q^4*z[1]^3+q^4*z[1]^2*z[ 2]-q^4*z[1]*z[2]*z[3]+q^4*z[2]^2*z[3]+q^3*z[1]^3*z[2]+q^3*z[1]*z[2]^2*z[3]+q^3* z[2]^3*z[3]-q^2*z[1]^2*z[2]^2*z[3]+q^2*z[1]*z[2]^3*z[3]+q^5*z[1]-q^4*z[1]^2+q^4 *z[1]*z[2]+q^3*z[1]^2*z[2]+2*q^3*z[2]^2*z[3]+q^2*z[2]^3*z[3]+q*z[1]*z[2]^3*z[3] +q^5-q^3*z[1]^2+q^3*z[1]*z[2]+q^2*z[1]^2*z[2]+q^2*z[2]^2*z[3]+q*z[2]^3*z[3]+q^2 *z[1]*z[2]-q^2*z[2]^2-q^2*z[2]+q*z[1]*z[2]-q*z[2]^2-z[2]^3-z[2]^2)/(q^5*z[1]*z[ 3]-1)/(q^3*z[3]-1)/(q^4*z[1]*z[3]-1)/(q^2*z[3]-1)/(q*z[2]*z[3]-1)/(q^2*z[1]*z[3 ]-1)/(q*z[1]*z[3]-1)/(q^3*z[1]*z[3]-1)/(q*z[3]-1) 2 4 x[1] x[2] For the coeff., ----------- 6 x[3] we have: 12 4 2 3 (z[2] - 1) (-1 + z[1]) (q - z[2]) (q z[1] z[2] z[3] 12 3 3 3 11 5 2 3 11 4 3 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 3 2 3 12 2 3 3 11 5 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 2 4 3 10 5 2 3 10 4 3 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 4 4 3 12 2 2 3 12 3 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 2 3 3 10 2 4 3 9 4 3 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 3 4 3 8 5 3 3 8 4 4 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 5 4 3 12 2 3 11 3 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 2 3 3 10 4 3 9 3 3 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 2 4 3 8 4 3 3 8 3 4 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 2 3 11 3 2 11 2 2 2 + q z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 4 2 10 3 2 2 10 3 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 9 5 2 9 4 2 2 9 4 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 5 2 2 8 3 3 3 7 3 4 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 2 2 11 2 2 10 4 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[3] 10 3 2 10 2 2 2 10 3 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 9 4 2 9 3 2 2 9 3 3 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 5 2 8 3 3 2 8 2 4 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 2 3 3 8 4 3 7 3 4 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 5 3 2 6 3 4 3 11 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 2 2 10 2 2 9 3 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[2] z[3] 8 4 2 8 3 2 2 8 2 3 2 + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 4 2 7 4 2 2 7 3 3 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 7 4 3 6 4 3 2 6 3 4 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 2 4 3 5 5 3 2 11 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] z[3] 10 2 9 2 2 8 2 2 2 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 4 2 7 3 2 2 7 2 3 2 + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 7 4 2 7 4 3 6 3 3 2 - 2 q z[1] z[2] z[3] + q z[2] z[3] + q z[1] z[2] z[3] 5 4 3 2 5 3 4 2 10 2 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[2] z[3] 9 2 2 8 4 8 3 + q z[2] z[3] - q z[1] z[3] + q z[1] z[2] z[3] 8 2 2 8 3 2 7 4 + 2 q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 7 2 2 2 6 5 6 3 2 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 2 3 2 6 4 2 5 2 4 2 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 4 4 3 2 4 3 4 2 9 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[3] 9 8 3 8 2 - q z[1] z[2] z[3] - q z[1] z[3] + 2 q z[1] z[2] z[3] 8 2 8 2 2 7 4 - q z[1] z[2] z[3] + 2 q z[2] z[3] - q z[1] z[3] 7 3 7 3 2 6 4 + q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 6 2 2 2 6 4 2 5 4 2 - q z[1] z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] 5 2 3 2 5 4 2 4 5 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 4 2 4 2 3 3 4 2 9 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[3] 7 3 7 2 7 2 - q z[1] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 2 2 6 2 2 6 3 + q z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 4 5 3 2 5 2 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 5 4 5 4 2 4 4 2 + q z[1] z[2] z[3] - q z[2] z[3] + 2 q z[1] z[2] z[3] 4 2 4 4 2 3 2 4 4 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 3 2 4 2 9 7 2 6 3 + q z[1] z[2] z[3] + q z[3] - q z[2] z[3] - q z[1] z[3] 6 2 6 2 5 2 2 + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 5 3 5 3 2 4 4 + q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 4 3 2 4 2 3 4 4 + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 4 4 2 3 4 2 3 2 4 - q z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 6 6 2 5 4 - q z[2] z[3] + q z[1] z[2] z[3] - 2 q z[2] z[3] + q z[1] 5 2 5 2 4 3 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 4 3 4 4 3 3 2 + q z[1] z[2] z[3] + q z[2] z[3] + 2 q z[1] z[2] z[3] 3 2 3 2 2 4 6 2 6 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] - q z[2] z[3] 5 3 5 5 2 4 2 + q z[1] + q z[1] z[2] z[3] - 2 q z[2] z[3] - q z[1] z[2] z[3] 4 3 3 4 3 4 2 3 2 + q z[2] z[3] - q z[1] z[2] + q z[2] z[3] + q z[1] z[2] z[3] 2 2 3 2 4 6 4 3 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] + q z[1] 3 3 3 2 3 3 2 4 - q z[1] z[2] - q z[1] z[2] z[3] + 2 q z[2] z[3] + q z[2] z[3] 2 3 5 5 4 2 3 3 - q z[1] z[2] z[3] - q z[1] + q z[2] + q z[2] + q z[1] 3 2 2 3 2 3 4 4 - q z[1] z[2] - q z[1] z[2] + q z[2] z[3] - q z[1] + q z[2] 3 2 2 2 2 2 2 3 3 + q z[1] - q z[1] z[2] + q z[1] z[2] - q z[2] + q z[1] z[2] 4 4 3 2 2 3 - q z[2] + z[1] z[2] + q z[2] - q z[1] z[2] + q z[1] z[2] - q z[2] 3 2 2 3 / 4 + z[1] z[2] - q z[2] + z[1] z[2] - z[2] ) / ((q z[1] z[3] - 1) / 3 3 2 (q z[3] - 1) (q z[1] z[3] - 1) (q z[3] - 1) (q z[1] z[3] - 1) 2 2 (q z[1] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[3] - 1)) and in Maple input notation: (z[2]-1)*(-1+z[1])*(q-z[2])*(q^12*z[1]^4*z[2]^2*z[3]^3-q^12*z[1]^3*z[2]^3*z[3]^ 3-q^11*z[1]^5*z[2]^2*z[3]^3+q^11*z[1]^4*z[2]^3*z[3]^3+q^12*z[1]^3*z[2]^2*z[3]^3 -q^12*z[1]^2*z[2]^3*z[3]^3-q^11*z[1]^5*z[2]*z[3]^3+q^11*z[1]^2*z[2]^4*z[3]^3-q^ 10*z[1]^5*z[2]^2*z[3]^3+q^10*z[1]^4*z[2]^3*z[3]^3-q^9*z[1]^4*z[2]^4*z[3]^3+q^12 *z[1]^2*z[2]^2*z[3]^3-q^12*z[1]*z[2]^3*z[3]^3-q^11*z[1]^2*z[2]^3*z[3]^3+q^10*z[ 1]^2*z[2]^4*z[3]^3+q^9*z[1]^4*z[2]^3*z[3]^3-q^9*z[1]^3*z[2]^4*z[3]^3+q^8*z[1]^5 *z[2]^3*z[3]^3-q^8*z[1]^4*z[2]^4*z[3]^3+q^7*z[1]^5*z[2]^4*z[3]^3+q^12*z[1]*z[2] ^2*z[3]^3-q^11*z[1]*z[2]^3*z[3]^3-q^10*z[1]^2*z[2]^3*z[3]^3+q^10*z[1]*z[2]^4*z[ 3]^3+q^9*z[1]^3*z[2]^3*z[3]^3+q^9*z[1]^2*z[2]^4*z[3]^3+q^8*z[1]^4*z[2]^3*z[3]^3 -2*q^8*z[1]^3*z[2]^4*z[3]^3+q^12*z[2]^2*z[3]^3-q^11*z[1]^3*z[2]*z[3]^2+q^11*z[1 ]^2*z[2]^2*z[3]^2+q^10*z[1]^4*z[2]*z[3]^2-q^10*z[1]^3*z[2]^2*z[3]^2-2*q^10*z[1] *z[2]^3*z[3]^3+q^9*z[1]^5*z[2]*z[3]^2-q^9*z[1]^4*z[2]^2*z[3]^2+q^9*z[1]*z[2]^4* z[3]^3+q^8*z[1]^5*z[2]^2*z[3]^2+q^8*z[1]^3*z[2]^3*z[3]^3-q^7*z[1]^3*z[2]^4*z[3] ^3-q^11*z[1]^2*z[2]*z[3]^2+q^11*z[1]*z[2]^2*z[3]^2+q^10*z[1]^4*z[3]^2-q^10*z[1] ^3*z[2]*z[3]^2+q^10*z[1]^2*z[2]^2*z[3]^2-q^10*z[2]^3*z[3]^3+2*q^9*z[1]^4*z[2]*z [3]^2-3*q^9*z[1]^3*z[2]^2*z[3]^2-q^9*z[1]*z[2]^3*z[3]^3+q^8*z[1]^5*z[2]*z[3]^2+ q^8*z[1]^3*z[2]^3*z[3]^2-q^8*z[1]^2*z[2]^4*z[3]^2+q^8*z[1]^2*z[2]^3*z[3]^3+q^8* z[1]*z[2]^4*z[3]^3+q^7*z[1]^3*z[2]^4*z[3]^2-q^6*z[1]^5*z[2]^3*z[3]^2-q^6*z[1]^3 *z[2]^4*z[3]^3-q^11*z[1]*z[2]*z[3]^2-q^10*z[1]^2*z[2]*z[3]^2+2*q^10*z[1]*z[2]^2 *z[3]^2-q^9*z[2]^3*z[3]^3+q^8*z[1]^4*z[2]*z[3]^2-3*q^8*z[1]^3*z[2]^2*z[3]^2+q^8 *z[1]^2*z[2]^3*z[3]^2-q^8*z[1]*z[2]^4*z[3]^2-q^7*z[1]^4*z[2]^2*z[3]^2+2*q^7*z[1 ]^3*z[2]^3*z[3]^2+q^7*z[1]*z[2]^4*z[3]^3-2*q^6*z[1]^4*z[2]^3*z[3]^2+q^6*z[1]^3* z[2]^4*z[3]^2-q^6*z[1]^2*z[2]^4*z[3]^3-q^5*z[1]^5*z[2]^3*z[3]^2-q^11*z[2]*z[3]^ 2-q^10*z[1]*z[2]*z[3]^2+2*q^9*z[1]*z[2]^2*z[3]^2-q^8*z[1]^2*z[2]^2*z[3]^2+q^7*z [1]^4*z[2]*z[3]^2-3*q^7*z[1]^3*z[2]^2*z[3]^2+2*q^7*z[1]^2*z[2]^3*z[3]^2-2*q^7*z [1]*z[2]^4*z[3]^2+q^7*z[2]^4*z[3]^3+q^6*z[1]^3*z[2]^3*z[3]^2-2*q^5*z[1]^4*z[2]^ 3*z[3]^2+2*q^5*z[1]^3*z[2]^4*z[3]^2-q^10*z[2]*z[3]^2+q^9*z[2]^2*z[3]^2-q^8*z[1] ^4*z[3]+q^8*z[1]^3*z[2]*z[3]+2*q^8*z[1]*z[2]^2*z[3]^2+q^8*z[2]^3*z[3]^2-q^7*z[1 ]^4*z[2]*z[3]-2*q^7*z[1]^2*z[2]^2*z[3]^2-q^6*z[1]^5*z[2]*z[3]-q^6*z[1]^3*z[2]^2 *z[3]^2+2*q^6*z[1]^2*z[2]^3*z[3]^2-2*q^6*z[1]*z[2]^4*z[3]^2+q^5*z[1]^2*z[2]^4*z [3]^2-q^4*z[1]^4*z[2]^3*z[3]^2+q^4*z[1]^3*z[2]^4*z[3]^2+q^9*z[1]^2*z[3]-q^9*z[1 ]*z[2]*z[3]-q^8*z[1]^3*z[3]+2*q^8*z[1]^2*z[2]*z[3]-q^8*z[1]*z[2]^2*z[3]+2*q^8*z [2]^2*z[3]^2-q^7*z[1]^4*z[3]+q^7*z[1]^3*z[2]*z[3]+q^7*z[2]^3*z[3]^2-q^6*z[1]^4* z[2]*z[3]-q^6*z[1]^2*z[2]^2*z[3]^2-q^6*z[2]^4*z[3]^2+q^5*z[1]^4*z[2]^2*z[3]+q^5 *z[1]^2*z[2]^3*z[3]^2-q^5*z[1]*z[2]^4*z[3]^2+q^4*z[1]^5*z[2]^2*z[3]+q^4*z[1]^2* z[2]^4*z[3]^2+q^3*z[1]^3*z[2]^4*z[3]^2+q^9*z[1]*z[3]-q^7*z[1]^3*z[3]+3*q^7*z[1] ^2*z[2]*z[3]-q^7*z[1]*z[2]^2*z[3]+q^7*z[2]^2*z[3]^2-q^6*z[1]^2*z[2]^2*z[3]+q^6* z[1]*z[2]^3*z[3]-q^5*z[1]^4*z[2]*z[3]+q^5*z[1]^3*z[2]^2*z[3]-q^5*z[1]^2*z[2]^3* z[3]+q^5*z[1]*z[2]^4*z[3]-q^5*z[2]^4*z[3]^2+2*q^4*z[1]^4*z[2]^2*z[3]-q^4*z[1]^2 *z[2]^4*z[3]+q^4*z[1]^2*z[2]^3*z[3]^2-q^4*z[1]*z[2]^4*z[3]^2+q^3*z[1]^2*z[2]^4* z[3]^2+q^9*z[3]-q^7*z[2]^2*z[3]-q^6*z[1]^3*z[3]+3*q^6*z[1]^2*z[2]*z[3]-2*q^6*z[ 1]*z[2]^2*z[3]-q^5*z[1]^2*z[2]^2*z[3]+q^5*z[1]*z[2]^3*z[3]-q^5*z[2]^3*z[3]^2-q^ 4*z[1]^4*z[2]*z[3]+3*q^4*z[1]^3*z[2]^2*z[3]-2*q^4*z[1]^2*z[2]^3*z[3]+q^4*z[1]*z [2]^4*z[3]-q^4*z[2]^4*z[3]^2+q^3*z[1]^4*z[2]^2*z[3]-q^3*z[1]^2*z[2]^4*z[3]-q^7* z[2]*z[3]+q^6*z[1]*z[2]*z[3]-2*q^6*z[2]^2*z[3]+q^5*z[1]^4+2*q^5*z[1]^2*z[2]*z[3 ]-2*q^5*z[1]*z[2]^2*z[3]-q^4*z[1]^3*z[2]*z[3]+q^4*z[1]*z[2]^3*z[3]+q^4*z[2]^4*z [3]+2*q^3*z[1]^3*z[2]^2*z[3]-2*q^3*z[1]^2*z[2]^3*z[3]-q^2*z[1]^2*z[2]^4*z[3]-q^ 6*z[1]^2-q^6*z[2]*z[3]+q^5*z[1]^3+q^5*z[1]*z[2]*z[3]-2*q^5*z[2]^2*z[3]-q^4*z[1] *z[2]^2*z[3]+q^4*z[2]^3*z[3]-q^3*z[1]^4*z[2]+q^3*z[2]^4*z[3]+q^2*z[1]^3*z[2]^2* z[3]-2*q^2*z[1]^2*z[2]^3*z[3]-q*z[1]^2*z[2]^4*z[3]-q^6*z[1]+q^4*z[1]^3-q^3*z[1] ^3*z[2]-q^3*z[1]*z[2]^2*z[3]+2*q^3*z[2]^3*z[3]+q^2*z[2]^4*z[3]-q*z[1]^2*z[2]^3* z[3]-q^5*z[1]+q^5*z[2]+q^4*z[2]^2+q^3*z[1]^3-q^3*z[1]^2*z[2]-q^2*z[1]^3*z[2]+q^ 2*z[2]^3*z[3]-q^4*z[1]+q^4*z[2]+q^3*z[1]^2-q^2*z[1]^2*z[2]+q^2*z[1]*z[2]^2-q^2* z[2]^3+q*z[1]*z[2]^3-q*z[2]^4+z[1]*z[2]^4+q^3*z[2]-q*z[1]^2*z[2]+q*z[1]*z[2]^2- q*z[2]^3+z[1]*z[2]^3-q*z[2]^2+z[1]*z[2]^2-z[2]^3)/(q^4*z[1]*z[3]-1)/(q^3*z[3]-1 )/(q^3*z[1]*z[3]-1)/(q^2*z[3]-1)/(q*z[1]*z[3]-1)/(q^2*z[1]*z[3]-1)/(q*z[2]*z[3] -1)/(q^2*z[2]*z[3]-1)/(q*z[3]-1) 3 3 x[1] x[2] For the coeff., ----------- 6 x[3] we have: 10 3 3 3 (z[2] - 1) (-1 + z[1]) (q - z[2]) (-z[1] + q) (q z[1] z[2] z[3] 10 2 4 3 10 2 3 3 10 4 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 4 2 3 9 3 3 3 9 2 4 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 4 3 3 10 3 3 9 2 3 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 4 3 8 4 2 3 8 3 3 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 2 4 3 7 3 4 3 6 4 4 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 3 3 9 3 3 8 4 3 + q z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 2 3 3 8 4 3 7 4 2 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 3 3 3 6 3 4 3 9 2 2 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 3 2 8 4 2 8 4 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 7 2 4 2 7 4 3 9 2 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 3 2 8 2 2 2 8 3 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 3 2 2 7 2 3 2 7 4 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 6 4 2 2 6 3 3 2 5 3 4 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 2 2 8 2 2 7 3 2 - q z[2] z[3] - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 7 2 2 2 7 3 2 7 4 2 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 6 4 2 6 3 2 2 6 2 3 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 6 4 2 5 4 2 2 5 3 3 2 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 4 3 4 2 8 2 2 7 3 2 - q z[1] z[2] z[3] - q z[2] z[3] + q z[1] z[3] 7 2 2 6 3 2 6 2 2 2 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 6 3 2 6 4 2 5 4 2 + q z[1] z[2] z[3] + q z[2] z[3] + q z[1] z[2] z[3] 5 3 2 2 5 2 3 2 5 4 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 4 4 2 2 4 3 3 2 4 2 4 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 3 3 4 2 7 2 2 6 3 - q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 6 2 2 6 3 2 5 3 2 - q z[1] z[2] z[3] + q z[2] z[3] + q z[1] z[2] z[3] 5 2 2 2 5 4 5 3 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 4 2 4 2 3 2 4 4 2 + q z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 3 3 3 2 7 6 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 3 5 3 5 2 2 - q z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 3 5 4 5 3 2 - q z[1] z[2] z[3] - q z[2] z[3] + q z[2] z[3] 4 2 3 4 4 4 3 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 3 2 4 7 6 2 6 + q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[3] + 2 q z[1] z[2] z[3] 6 2 5 3 5 2 + q z[2] z[3] - q z[1] z[3] - q z[1] z[2] z[3] 5 2 5 3 4 3 + 2 q z[1] z[2] z[3] - q z[2] z[3] - 2 q z[1] z[2] z[3] 4 2 2 4 3 4 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] z[3] 3 4 3 2 3 2 2 4 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 5 2 5 4 3 + q z[2] z[3] - q z[1] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[3] 4 2 4 2 4 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[2] z[3] 3 3 3 2 2 3 3 - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 3 4 2 2 3 2 4 - q z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 4 2 4 3 2 + q z[2] z[3] - q z[1] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 3 2 3 3 2 3 + q z[1] z[2] z[3] - 2 q z[2] z[3] - q z[1] z[2] z[3] 2 2 2 2 3 2 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 3 3 3 2 2 4 2 3 2 2 + q z[2] - q z[2] z[3] + q z[2] - q z[2] z[3] + q z[1] z[2] z[3] 3 4 3 2 3 2 3 - q z[1] z[2] z[3] - q z[2] + q z[1] - q z[1] z[2] + q z[1] 2 2 2 3 3 4 4 3 - q z[1] z[2] + q z[2] - q z[1] z[2] - z[1] z[2] - q - q z[2] 2 2 2 2 2 2 3 3 + q z[1] - q z[1] z[2] + q z[2] - q z[1] z[2] + q z[2] - z[1] z[2] 2 2 2 2 3 + q z[1] + q z[1] - q z[1] z[2] + q z[2] - z[1] z[2] + z[2] 2 / 3 3 - z[1] z[2] + z[2] ) / ((q z[1] z[3] - 1) (q z[3] - 1) / 2 2 (q z[1] z[3] - 1) (q z[3] - 1) (q z[1] z[3] - 1) (q z[2] z[3] - 1) 3 2 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[3] - 1)) and in Maple input notation: (z[2]-1)*(-1+z[1])*(q-z[2])*(-z[1]+q)*(q^10*z[1]^3*z[2]^3*z[3]^3-q^10*z[1]^2*z[ 2]^4*z[3]^3+q^10*z[1]^2*z[2]^3*z[3]^3-q^10*z[1]*z[2]^4*z[3]^3-q^9*z[1]^4*z[2]^2 *z[3]^3+q^9*z[1]^3*z[2]^3*z[3]^3-q^9*z[1]^2*z[2]^4*z[3]^3-q^8*z[1]^4*z[2]^3*z[3 ]^3+q^10*z[1]*z[2]^3*z[3]^3+q^9*z[1]^2*z[2]^3*z[3]^3-q^9*z[1]*z[2]^4*z[3]^3-q^8 *z[1]^4*z[2]^2*z[3]^3+q^8*z[1]^3*z[2]^3*z[3]^3-q^8*z[1]^2*z[2]^4*z[3]^3+q^7*z[1 ]^3*z[2]^4*z[3]^3+q^6*z[1]^4*z[2]^4*z[3]^3+q^10*z[2]^3*z[3]^3+q^9*z[1]*z[2]^3*z [3]^3-q^8*z[1]^4*z[2]*z[3]^3+q^8*z[1]^2*z[2]^3*z[3]^3-q^8*z[1]*z[2]^4*z[3]^3-q^ 7*z[1]^4*z[2]^2*z[3]^3+q^7*z[1]^3*z[2]^3*z[3]^3+q^6*z[1]^3*z[2]^4*z[3]^3-q^9*z[ 1]^2*z[2]^2*z[3]^2+q^9*z[1]*z[2]^3*z[3]^2+q^8*z[1]*z[2]^4*z[3]^2-q^8*z[2]^4*z[3 ]^3+q^7*z[1]^2*z[2]^4*z[3]^2-q^7*z[1]*z[2]^4*z[3]^3-q^9*z[1]*z[2]^2*z[3]^2+q^8* z[1]^3*z[2]*z[3]^2-2*q^8*z[1]^2*z[2]^2*z[3]^2+q^8*z[1]*z[2]^3*z[3]^2+q^7*z[1]^3 *z[2]^2*z[3]^2-q^7*z[1]^2*z[2]^3*z[3]^2+2*q^7*z[1]*z[2]^4*z[3]^2+q^6*z[1]^4*z[2 ]^2*z[3]^2-q^6*z[1]^3*z[2]^3*z[3]^2-q^5*z[1]^3*z[2]^4*z[3]^2-q^9*z[2]^2*z[3]^2-\ 2*q^8*z[1]*z[2]^2*z[3]^2+2*q^7*z[1]^3*z[2]*z[3]^2-3*q^7*z[1]^2*z[2]^2*z[3]^2+q^ 7*z[1]*z[2]^3*z[3]^2+q^7*z[2]^4*z[3]^2+q^6*z[1]^4*z[2]*z[3]^2+q^6*z[1]^3*z[2]^2 *z[3]^2-2*q^6*z[1]^2*z[2]^3*z[3]^2+2*q^6*z[1]*z[2]^4*z[3]^2+q^5*z[1]^4*z[2]^2*z [3]^2-2*q^5*z[1]^3*z[2]^3*z[3]^2-q^4*z[1]^3*z[2]^4*z[3]^2-q^8*z[2]^2*z[3]^2+q^7 *z[1]^3*z[3]^2-2*q^7*z[1]*z[2]^2*z[3]^2+2*q^6*z[1]^3*z[2]*z[3]^2-2*q^6*z[1]^2*z [2]^2*z[3]^2+q^6*z[1]*z[2]^3*z[3]^2+q^6*z[2]^4*z[3]^2+q^5*z[1]^4*z[2]*z[3]^2+q^ 5*z[1]^3*z[2]^2*z[3]^2-2*q^5*z[1]^2*z[2]^3*z[3]^2+q^5*z[1]*z[2]^4*z[3]^2+q^4*z[ 1]^4*z[2]^2*z[3]^2-2*q^4*z[1]^3*z[2]^3*z[3]^2-q^4*z[1]^2*z[2]^4*z[3]^2-q^3*z[1] ^3*z[2]^4*z[3]^2-q^7*z[2]^2*z[3]^2-q^6*z[1]*z[2]^3*z[3]-q^6*z[1]*z[2]^2*z[3]^2+ q^6*z[2]^3*z[3]^2+q^5*z[1]^3*z[2]*z[3]^2-q^5*z[1]^2*z[2]^2*z[3]^2-q^5*z[1]*z[2] ^4*z[3]+q^5*z[1]*z[2]^3*z[3]^2+q^5*z[2]^4*z[3]^2-q^4*z[1]^2*z[2]^3*z[3]^2+q^4*z [1]*z[2]^4*z[3]^2-q^3*z[1]^3*z[2]^3*z[3]^2+q^7*z[1]*z[2]*z[3]+q^6*z[1]*z[2]^2*z [3]-q^6*z[2]^3*z[3]-q^5*z[1]^3*z[2]*z[3]+q^5*z[1]^2*z[2]^2*z[3]-q^5*z[1]*z[2]^3 *z[3]-q^5*z[2]^4*z[3]+q^5*z[2]^3*z[3]^2+q^4*z[1]^2*z[2]^3*z[3]-q^4*z[1]*z[2]^4* z[3]+q^4*z[1]*z[2]^3*z[3]^2+q^3*z[1]^2*z[2]^4*z[3]+q^7*z[2]*z[3]-q^6*z[1]^2*z[3 ]+2*q^6*z[1]*z[2]*z[3]+q^6*z[2]^2*z[3]-q^5*z[1]^3*z[3]-q^5*z[1]^2*z[2]*z[3]+2*q ^5*z[1]*z[2]^2*z[3]-q^5*z[2]^3*z[3]-2*q^4*z[1]^3*z[2]*z[3]+2*q^4*z[1]^2*z[2]^2* z[3]-q^4*z[1]*z[2]^3*z[3]-q^4*z[2]^4*z[3]-q^3*z[1]^4*z[2]*z[3]+2*q^3*z[1]^2*z[2 ]^3*z[3]+q^2*z[1]^2*z[2]^4*z[3]+q^6*z[2]*z[3]-q^5*z[1]^2*z[3]+2*q^5*z[1]*z[2]*z [3]-q^4*z[1]^3*z[3]-q^4*z[1]^2*z[2]*z[3]+2*q^4*z[1]*z[2]^2*z[3]-2*q^4*z[2]^3*z[ 3]-2*q^3*z[1]^3*z[2]*z[3]+3*q^3*z[1]^2*z[2]^2*z[3]-q^3*z[1]*z[2]^3*z[3]-q^3*z[2 ]^4*z[3]+2*q^2*z[1]^2*z[2]^3*z[3]+q*z[1]^2*z[2]^4*z[3]+q^5*z[2]*z[3]-q^4*z[1]^2 *z[3]+q^4*z[1]*z[2]*z[3]-q^3*z[1]^2*z[2]*z[3]+q^3*z[1]*z[2]^2*z[3]-2*q^3*z[2]^3 *z[3]-q^2*z[1]^3*z[2]*z[3]+2*q^2*z[1]^2*z[2]^2*z[3]-q^2*z[1]*z[2]^3*z[3]+q*z[1] ^2*z[2]^3*z[3]+q^3*z[2]^3-q^3*z[2]^2*z[3]+q^2*z[2]^4-q^2*z[2]^3*z[3]+q*z[1]^2*z [2]^2*z[3]-q*z[1]*z[2]^3*z[3]-q^4*z[2]+q^3*z[1]^2-q^3*z[1]*z[2]+q^2*z[1]^3-q^2* z[1]*z[2]^2+q^2*z[2]^3-q*z[1]*z[2]^3-z[1]*z[2]^4-q^4-q^3*z[2]+q^2*z[1]^2-q^2*z[ 1]*z[2]+q^2*z[2]^2-q*z[1]*z[2]^2+q*z[2]^3-z[1]*z[2]^3+q^2*z[1]+q*z[1]^2-q*z[1]* z[2]+q*z[2]^2-z[1]*z[2]^2+z[2]^3-z[1]*z[2]+z[2]^2)/(q^3*z[1]*z[3]-1)/(q^3*z[3]-\ 1)/(q^2*z[1]*z[3]-1)/(q^2*z[3]-1)/(q*z[1]*z[3]-1)/(q*z[2]*z[3]-1)/(q^3*z[2]*z[3 ]-1)/(q^2*z[2]*z[3]-1)/(q*z[3]-1) 6 x[1] For the coeff., ----- 6 x[2] we have: 2 18 3 6 - (-z[1] + q) (q - z[1]) (-1 + z[1]) (q z[1] z[2] z[3] 17 2 3 5 16 2 3 6 17 3 5 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 2 3 5 16 2 3 4 16 2 6 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 3 3 4 13 3 3 6 17 2 3 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 2 5 16 3 4 15 3 3 3 - q z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 2 3 4 15 2 6 14 3 3 4 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 3 16 2 3 2 16 2 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 2 3 3 15 2 5 14 2 3 4 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 2 2 5 13 3 3 4 12 3 3 5 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 3 16 2 4 15 2 3 2 - q z[1] z[2] z[3] - q z[2] z[3] + 2 q z[1] z[2] z[3] 15 3 3 15 2 4 14 3 3 2 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 2 3 3 14 2 5 13 2 3 4 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 2 2 5 12 3 3 4 12 2 2 6 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 3 3 5 18 3 16 3 - q z[1] z[2] z[3] + q z[2] - q z[1] z[2] z[3] 15 2 3 15 2 3 15 5 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 14 2 3 2 14 2 2 3 13 3 3 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 2 3 3 13 2 2 4 13 2 5 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 6 12 3 3 3 12 2 2 5 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 11 3 3 4 11 3 2 5 10 3 2 6 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 3 15 2 3 14 2 3 - q z[1] z[2] z[3] - q z[2] z[3] + 2 q z[1] z[2] z[3] 14 3 2 14 2 3 14 5 + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[2] z[3] 13 2 3 2 13 2 2 3 13 2 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 3 3 2 12 2 3 3 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 2 2 4 12 2 5 11 3 3 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 11 2 2 5 10 3 2 5 15 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] 14 3 14 2 2 14 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 13 2 3 13 2 3 13 4 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 2 2 3 12 2 4 12 5 - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 3 3 2 11 2 3 3 11 2 2 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 10 3 3 3 10 3 2 4 10 2 6 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 3 14 2 14 2 2 14 3 - q z[1] z[2] - q z[1] z[2] z[3] - q z[2] z[3] - q z[2] z[3] 13 2 2 13 4 12 2 3 + 3 q z[1] z[2] z[3] + 2 q z[2] z[3] + 2 q z[1] z[2] z[3] 12 2 2 2 12 2 3 12 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 3 3 11 3 2 2 11 2 3 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 2 2 3 11 2 4 10 3 3 2 - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 2 2 4 9 3 3 3 9 3 2 4 + 5 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 9 2 6 13 3 13 2 - q z[1] z[2] z[3] - q z[1] z[2] - q z[1] z[2] z[3] 12 2 2 12 2 2 12 3 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 4 12 5 11 2 3 + q z[2] z[3] - q z[3] + 2 q z[1] z[2] z[3] 11 2 2 2 11 4 10 3 3 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 3 2 2 10 2 3 2 10 2 2 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 2 4 10 5 9 3 2 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 2 2 4 9 2 5 8 3 3 3 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 3 2 4 14 2 13 2 13 2 - q z[1] z[2] z[3] + q z[2] - q z[2] z[3] - q z[2] z[3] 12 2 12 3 11 2 3 + q z[1] z[2] z[3] + q z[2] z[3] + q z[1] z[2] 11 2 2 11 2 2 11 3 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 11 4 10 2 3 10 2 2 2 + q z[2] z[3] + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 10 2 3 10 4 9 3 3 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 3 2 2 9 2 2 3 9 2 4 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 9 5 8 3 2 3 8 2 2 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 2 5 7 3 2 4 6 3 6 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 2 12 2 12 2 11 2 + q z[2] + q z[1] z[2] - q z[2] z[3] + q z[1] z[2] z[3] 11 3 11 4 10 2 3 10 2 2 + q z[2] z[3] - q z[3] + q z[1] z[2] - q z[1] z[2] z[3] 10 2 2 10 3 9 3 2 + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 2 2 2 9 2 3 9 4 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 5 8 3 3 8 3 2 2 + q z[1] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 2 2 3 7 3 3 2 7 3 2 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 7 2 5 12 11 11 3 - q z[1] z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] + q z[3] 10 2 10 2 10 3 10 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] z[3] - q z[3] 9 2 3 9 2 2 9 3 + q z[1] z[2] - 2 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 8 3 2 8 2 2 2 8 2 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 8 4 8 5 7 3 3 + q z[1] z[2] z[3] + q z[1] z[3] - q z[1] z[2] z[3] 7 3 2 2 7 2 2 3 7 2 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 3 2 3 6 2 5 5 3 5 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 10 2 10 9 2 2 - q z[2] z[3] - q z[1] z[2] + q z[1] z[2] z[3] - q z[1] z[2] 9 2 9 4 8 2 2 + q z[1] z[2] z[3] - q z[3] - 2 q z[1] z[2] z[3] 8 2 2 8 3 8 4 + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + q z[1] z[3] 7 3 2 7 2 2 2 7 2 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 7 4 6 2 4 5 3 2 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 10 10 2 9 2 - q z[2] - q z[2] z[3] + q z[3] - q z[1] z[2] 9 9 2 8 2 2 + 2 q z[1] z[2] z[3] + q z[2] z[3] - 2 q z[1] z[2] 8 2 8 2 8 3 8 4 - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] - q z[1] z[3] - q z[3] 7 2 2 7 2 2 7 3 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 4 6 3 3 6 3 2 + 2 q z[1] z[3] - q z[1] z[2] + 2 q z[1] z[2] z[3] 6 2 3 5 3 2 2 5 2 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 5 2 5 4 3 4 9 9 2 - q z[1] z[3] + q z[1] z[2] z[3] - q z[2] z[3] + q z[3] 8 8 3 7 2 2 7 2 + 2 q z[1] z[2] z[3] - q z[3] - q z[1] z[2] - q z[1] z[2] z[3] 7 2 6 3 6 2 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 2 2 6 4 5 3 2 + 3 q z[1] z[2] z[3] + q z[1] z[3] + 2 q z[1] z[2] z[3] 4 3 2 2 8 8 2 7 2 - q z[1] z[2] z[3] + 2 q z[1] z[2] + 2 q z[3] - q z[1] z[3] 7 3 6 2 6 3 5 3 2 - q z[3] - q z[1] z[2] z[3] + q z[1] z[3] + q z[1] z[2] 5 3 5 2 2 5 4 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[1] z[3] 4 3 2 4 2 3 4 2 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[3] 3 3 3 7 7 2 6 2 + q z[1] z[2] z[3] + 2 q z[1] z[2] + q z[3] + q z[1] z[2] 6 2 6 3 5 3 4 3 2 - q z[1] z[3] - q z[3] + q z[1] z[3] + q z[1] z[2] 4 3 4 2 2 7 6 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[3] + q z[1] z[2] 6 4 2 4 3 3 3 2 - q z[1] z[3] + q z[1] z[2] z[3] + q z[1] z[3] + q z[1] z[2] 3 3 3 2 3 2 3 2 7 6 - q z[1] z[2] z[3] - q z[1] z[3] + q z[1] z[2] z[3] - q + q z[3] 5 4 2 3 3 3 2 - q z[1] z[3] - q z[1] z[2] - q z[1] z[2] + q z[1] z[2] z[3] 2 3 5 4 3 2 - q z[1] z[2] z[3] - q z[1] - q z[1] z[3] - q z[1] z[2] 3 2 2 3 2 2 2 3 + q z[1] z[3] - q z[1] z[2] - q z[1] z[3] - q z[1] z[3] 3 2 2 2 2 3 / - q z[1] z[2] + q z[1] - q z[1] z[3] + q z[1] + z[1] ) / ( / 3 2 (q z[2] - 1) (q z[2] - 1) (q z[2] - 1) (q z[2] z[3] - 1) 3 5 2 6 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) 4 (q z[2] z[3] - 1)) and in Maple input notation: -(-z[1]+q)*(q^2-z[1])*(-1+z[1])*(q^18*z[1]*z[2]^3*z[3]^6-q^17*z[1]^2*z[2]^3*z[3 ]^5+q^16*z[1]^2*z[2]^3*z[3]^6+q^17*z[1]*z[2]^3*z[3]^5-q^16*z[1]^2*z[2]^3*z[3]^5 -q^16*z[1]^2*z[2]^3*z[3]^4-q^16*z[1]*z[2]^2*z[3]^6+q^15*z[1]^3*z[2]^3*z[3]^4-q^ 13*z[1]^3*z[2]^3*z[3]^6+q^17*z[1]^2*z[2]^3*z[3]^2-q^17*z[2]^2*z[3]^5+q^16*z[1]* z[2]^3*z[3]^4-q^15*z[1]^3*z[2]^3*z[3]^3-2*q^15*z[1]^2*z[2]^3*z[3]^4-q^15*z[1]*z [2]^2*z[3]^6+q^14*z[1]^3*z[2]^3*z[3]^4-q^18*z[1]*z[2]^3*z[3]+q^16*z[1]^2*z[2]^3 *z[3]^2+q^16*z[1]*z[2]^2*z[3]^4-q^15*z[1]^2*z[2]^3*z[3]^3-2*q^15*z[1]*z[2]^2*z[ 3]^5-q^14*z[1]^2*z[2]^3*z[3]^4+q^14*z[1]^2*z[2]^2*z[3]^5+2*q^13*z[1]^3*z[2]^3*z [3]^4-q^12*z[1]^3*z[2]^3*z[3]^5-q^17*z[1]*z[2]^3*z[3]-q^16*z[2]^2*z[3]^4+2*q^15 *z[1]^2*z[2]^3*z[3]^2+q^15*z[1]*z[2]^3*z[3]^3+2*q^15*z[1]*z[2]^2*z[3]^4-q^14*z[ 1]^3*z[2]^3*z[3]^2-2*q^14*z[1]^2*z[2]^3*z[3]^3-2*q^14*z[1]*z[2]^2*z[3]^5-q^13*z [1]^2*z[2]^3*z[3]^4+q^13*z[1]^2*z[2]^2*z[3]^5+2*q^12*z[1]^3*z[2]^3*z[3]^4+q^12* z[1]^2*z[2]^2*z[3]^6-q^11*z[1]^3*z[2]^3*z[3]^5+q^18*z[2]^3-q^16*z[1]*z[2]^3*z[3 ]+q^15*z[1]^2*z[2]^3*z[3]+q^15*z[1]*z[2]^2*z[3]^3+q^15*z[2]*z[3]^5+q^14*z[1]^2* z[2]^3*z[3]^2-q^14*z[1]^2*z[2]^2*z[3]^3-q^13*z[1]^3*z[2]^3*z[3]^2-2*q^13*z[1]^2 *z[2]^3*z[3]^3+q^13*z[1]^2*z[2]^2*z[3]^4-q^13*z[1]*z[2]^2*z[3]^5+q^13*z[1]*z[2] *z[3]^6+q^12*z[1]^3*z[2]^3*z[3]^3+2*q^12*z[1]^2*z[2]^2*z[3]^5+q^11*z[1]^3*z[2]^ 3*z[3]^4-q^11*z[1]^3*z[2]^2*z[3]^5+q^10*z[1]^3*z[2]^2*z[3]^6-q^15*z[1]*z[2]^3*z [3]-q^15*z[2]^2*z[3]^3+2*q^14*z[1]^2*z[2]^3*z[3]+q^14*z[1]*z[2]^3*z[3]^2+3*q^14 *z[1]*z[2]^2*z[3]^3+q^14*z[2]*z[3]^5+q^13*z[1]^2*z[2]^3*z[3]^2-2*q^13*z[1]^2*z[ 2]^2*z[3]^3-q^13*z[1]*z[2]^2*z[3]^4-2*q^12*z[1]^3*z[2]^3*z[3]^2-2*q^12*z[1]^2*z [2]^3*z[3]^3+2*q^12*z[1]^2*z[2]^2*z[3]^4-q^12*z[1]*z[2]^2*z[3]^5+2*q^11*z[1]^3* z[2]^3*z[3]^3+2*q^11*z[1]^2*z[2]^2*z[3]^5-q^10*z[1]^3*z[2]^2*z[3]^5-q^15*z[1]*z [2]^3-q^14*z[1]*z[2]^3*z[3]+q^14*z[1]*z[2]^2*z[3]^2+q^14*z[2]*z[3]^4+2*q^13*z[1 ]^2*z[2]^3*z[3]+2*q^13*z[1]*z[2]^2*z[3]^3-q^13*z[1]*z[2]*z[3]^4-3*q^12*z[1]^2*z [2]^2*z[3]^3-q^12*z[1]*z[2]^2*z[3]^4+q^12*z[1]*z[2]*z[3]^5-q^11*z[1]^3*z[2]^3*z [3]^2-q^11*z[1]^2*z[2]^3*z[3]^3+4*q^11*z[1]^2*z[2]^2*z[3]^4+2*q^10*z[1]^3*z[2]^ 3*z[3]^3-q^10*z[1]^3*z[2]^2*z[3]^4-q^10*z[1]^2*z[2]*z[3]^6-q^14*z[1]*z[2]^3-q^ 14*z[1]*z[2]^2*z[3]-q^14*z[2]^2*z[3]^2-q^14*z[2]*z[3]^3+3*q^13*z[1]*z[2]^2*z[3] ^2+2*q^13*z[2]*z[3]^4+2*q^12*z[1]^2*z[2]^3*z[3]-q^12*z[1]^2*z[2]^2*z[3]^2+q^12* z[1]*z[2]^2*z[3]^3-2*q^12*z[1]*z[2]*z[3]^4-q^11*z[1]^3*z[2]^3*z[3]+q^11*z[1]^3* z[2]^2*z[3]^2-q^11*z[1]^2*z[2]^3*z[3]^2-3*q^11*z[1]^2*z[2]^2*z[3]^3-q^11*z[1]*z [2]^2*z[3]^4-q^10*z[1]^3*z[2]^3*z[3]^2+5*q^10*z[1]^2*z[2]^2*z[3]^4+q^9*z[1]^3*z [2]^3*z[3]^3-2*q^9*z[1]^3*z[2]^2*z[3]^4-q^9*z[1]^2*z[2]*z[3]^6-q^13*z[1]*z[2]^3 -q^13*z[1]*z[2]^2*z[3]-q^12*z[1]^2*z[2]^2*z[3]+3*q^12*z[1]*z[2]^2*z[3]^2-q^12*z [1]*z[2]*z[3]^3+q^12*z[2]*z[3]^4-q^12*z[3]^5+2*q^11*z[1]^2*z[2]^3*z[3]-2*q^11*z [1]^2*z[2]^2*z[3]^2-q^11*z[1]*z[2]*z[3]^4-q^10*z[1]^3*z[2]^3*z[3]+q^10*z[1]^3*z [2]^2*z[3]^2-q^10*z[1]^2*z[2]^3*z[3]^2-q^10*z[1]^2*z[2]^2*z[3]^3+q^10*z[1]^2*z[ 2]*z[3]^4+q^10*z[1]*z[2]*z[3]^5-q^9*z[1]^3*z[2]^2*z[3]^3+2*q^9*z[1]^2*z[2]^2*z[ 3]^4-2*q^9*z[1]^2*z[2]*z[3]^5+q^8*z[1]^3*z[2]^3*z[3]^3-q^8*z[1]^3*z[2]^2*z[3]^4 +q^14*z[2]^2-q^13*z[2]^2*z[3]-q^13*z[2]*z[3]^2+q^12*z[1]*z[2]*z[3]^2+q^12*z[2]* z[3]^3+q^11*z[1]^2*z[2]^3-q^11*z[1]^2*z[2]^2*z[3]+3*q^11*z[1]*z[2]^2*z[3]^2-3*q ^11*z[1]*z[2]*z[3]^3+q^11*z[2]*z[3]^4+q^10*z[1]^2*z[2]^3*z[3]-4*q^10*z[1]^2*z[2 ]^2*z[3]^2-q^10*z[1]*z[2]^2*z[3]^3-2*q^10*z[1]*z[2]*z[3]^4-q^9*z[1]^3*z[2]^3*z[ 3]+2*q^9*z[1]^3*z[2]^2*z[3]^2+2*q^9*z[1]^2*z[2]^2*z[3]^3+2*q^9*z[1]^2*z[2]*z[3] ^4+q^9*z[1]*z[2]*z[3]^5-2*q^8*z[1]^3*z[2]^2*z[3]^3+q^8*z[1]^2*z[2]^2*z[3]^4-2*q ^8*z[1]^2*z[2]*z[3]^5-q^7*z[1]^3*z[2]^2*z[3]^4+q^6*z[1]^3*z[2]*z[3]^6+q^13*z[2] ^2+q^12*z[1]*z[2]^2-q^12*z[2]*z[3]^2+q^11*z[1]*z[2]*z[3]^2+q^11*z[2]*z[3]^3-q^ 11*z[3]^4+q^10*z[1]^2*z[2]^3-q^10*z[1]^2*z[2]^2*z[3]+2*q^10*z[1]*z[2]^2*z[3]^2-\ 4*q^10*z[1]*z[2]*z[3]^3+q^9*z[1]^3*z[2]^2*z[3]-3*q^9*z[1]^2*z[2]^2*z[3]^2+q^9*z [1]^2*z[2]*z[3]^3+q^9*z[1]*z[2]*z[3]^4+q^9*z[1]*z[3]^5-q^8*z[1]^3*z[2]^3*z[3]+q ^8*z[1]^3*z[2]^2*z[3]^2+q^8*z[1]^2*z[2]^2*z[3]^3+q^7*z[1]^3*z[2]^3*z[3]^2-2*q^7 *z[1]^3*z[2]^2*z[3]^3-q^7*z[1]^2*z[2]*z[3]^5-q^12*z[2]*z[3]+q^11*z[1]*z[2]*z[3] +q^11*z[3]^3+q^10*z[1]*z[2]^2*z[3]+q^10*z[1]*z[2]*z[3]^2+q^10*z[2]*z[3]^3-q^10* z[3]^4+q^9*z[1]^2*z[2]^3-2*q^9*z[1]^2*z[2]^2*z[3]-6*q^9*z[1]*z[2]*z[3]^3+2*q^8* z[1]^3*z[2]^2*z[3]-q^8*z[1]^2*z[2]^2*z[3]^2+3*q^8*z[1]^2*z[2]*z[3]^3+q^8*z[1]*z [2]*z[3]^4+q^8*z[1]*z[3]^5-q^7*z[1]^3*z[2]^3*z[3]+q^7*z[1]^3*z[2]^2*z[3]^2+q^7* z[1]^2*z[2]^2*z[3]^3-q^7*z[1]^2*z[2]*z[3]^4-2*q^6*z[1]^3*z[2]^2*z[3]^3-q^6*z[1] ^2*z[2]*z[3]^5+q^5*z[1]^3*z[2]*z[3]^5-q^11*z[2]*z[3]-q^10*z[1]*z[2]^2+q^10*z[1] *z[2]*z[3]-q^9*z[1]^2*z[2]^2+q^9*z[1]*z[2]^2*z[3]-q^9*z[3]^4-2*q^8*z[1]^2*z[2]^ 2*z[3]+q^8*z[1]^2*z[2]*z[3]^2-3*q^8*z[1]*z[2]*z[3]^3+q^8*z[1]*z[3]^4+2*q^7*z[1] ^3*z[2]^2*z[3]-q^7*z[1]^2*z[2]^2*z[3]^2+2*q^7*z[1]^2*z[2]*z[3]^3+q^7*z[1]*z[2]* z[3]^4-q^6*z[1]^2*z[2]*z[3]^4-q^5*z[1]^3*z[2]^2*z[3]^3-q^11*z[2]-q^10*z[2]*z[3] +q^10*z[3]^2-q^9*z[1]*z[2]^2+2*q^9*z[1]*z[2]*z[3]+q^9*z[2]*z[3]^2-2*q^8*z[1]^2* z[2]^2-q^8*z[1]^2*z[2]*z[3]-3*q^8*z[1]*z[2]*z[3]^2-q^8*z[1]*z[3]^3-q^8*z[3]^4-q ^7*z[1]^2*z[2]^2*z[3]+3*q^7*z[1]^2*z[2]*z[3]^2-q^7*z[1]*z[2]*z[3]^3+2*q^7*z[1]* z[3]^4-q^6*z[1]^3*z[2]^3+2*q^6*z[1]^3*z[2]^2*z[3]+q^6*z[1]^2*z[2]*z[3]^3-q^5*z[ 1]^3*z[2]^2*z[3]^2-q^5*z[1]^2*z[2]*z[3]^4-q^5*z[1]^2*z[3]^5+q^4*z[1]^3*z[2]*z[3 ]^4-q^9*z[2]*z[3]+q^9*z[3]^2+2*q^8*z[1]*z[2]*z[3]-q^8*z[3]^3-q^7*z[1]^2*z[2]^2- q^7*z[1]^2*z[2]*z[3]-2*q^7*z[1]*z[2]*z[3]^2-q^6*z[1]^3*z[2]*z[3]-q^6*z[1]^2*z[2 ]^2*z[3]+3*q^6*z[1]^2*z[2]*z[3]^2+q^6*z[1]*z[3]^4+2*q^5*z[1]^3*z[2]^2*z[3]-q^4* z[1]^3*z[2]^2*z[3]^2+2*q^8*z[1]*z[2]+2*q^8*z[3]^2-q^7*z[1]*z[3]^2-q^7*z[3]^3-q^ 6*z[1]*z[2]*z[3]^2+q^6*z[1]*z[3]^3+q^5*z[1]^3*z[2]^2-q^5*z[1]^3*z[2]*z[3]+3*q^5 *z[1]^2*z[2]*z[3]^2+q^5*z[1]*z[3]^4+q^4*z[1]^3*z[2]^2*z[3]-q^4*z[1]^2*z[2]*z[3] ^3-q^4*z[1]^2*z[3]^4+q^3*z[1]^3*z[2]*z[3]^3+2*q^7*z[1]*z[2]+q^7*z[3]^2+q^6*z[1] ^2*z[2]-q^6*z[1]*z[3]^2-q^6*z[3]^3+q^5*z[1]*z[3]^3+q^4*z[1]^3*z[2]^2-q^4*z[1]^3 *z[2]*z[3]+2*q^4*z[1]^2*z[2]*z[3]^2+q^7*z[3]+q^6*z[1]*z[2]-q^6*z[1]*z[3]+q^4*z[ 1]^2*z[2]*z[3]+q^4*z[1]*z[3]^3+q^3*z[1]^3*z[2]^2-q^3*z[1]^3*z[2]*z[3]-q^3*z[1]^ 2*z[3]^3+q^2*z[1]^3*z[2]*z[3]^2-q^7+q^6*z[3]-q^5*z[1]*z[3]-q^4*z[1]^2*z[2]-q^3* z[1]^3*z[2]+q^3*z[1]^2*z[2]*z[3]-q^2*z[1]^3*z[2]*z[3]-q^5*z[1]-q^4*z[1]*z[3]-q^ 3*z[1]^2*z[2]+q^3*z[1]*z[3]^2-q^2*z[1]^3*z[2]-q^2*z[1]^2*z[3]^2-q^3*z[1]*z[3]-q *z[1]^3*z[2]+q^2*z[1]^2-q*z[1]^2*z[3]+q*z[1]^2+z[1]^3)/(q^3*z[2]-1)/(q^2*z[2]-1 )/(q*z[2]-1)/(q*z[2]*z[3]-1)/(q^3*z[2]*z[3]-1)/(q^5*z[2]*z[3]-1)/(q^2*z[2]*z[3] -1)/(q^6*z[2]*z[3]-1)/(q^4*z[2]*z[3]-1) 6 x[1] For the coeff., ----------- 3 3 x[2] x[3] we have: 2 13 2 4 3 (q - z[1]) (-z[1] + q) (-1 + z[1]) (-q z[1] z[2] z[3] 11 3 4 4 14 4 2 12 2 4 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 4 2 12 2 4 2 11 2 4 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 3 3 4 14 4 13 4 - q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 12 4 2 11 2 3 3 11 2 2 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 3 4 3 12 4 12 3 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 2 3 3 10 2 2 4 9 3 4 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 3 3 3 8 3 4 3 13 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] 11 3 2 11 4 10 2 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 2 4 2 9 2 3 3 9 2 2 4 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 3 4 2 8 3 3 3 8 3 2 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 3 11 3 10 3 2 - q z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 9 2 4 9 2 3 2 9 2 2 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 2 3 3 7 3 4 2 7 3 3 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 3 2 4 11 3 10 4 - q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] 10 3 10 2 2 10 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 3 2 8 2 4 8 2 3 2 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 8 2 2 3 8 2 4 6 3 3 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 3 2 4 11 3 9 4 9 3 - q z[1] z[2] z[3] + q z[2] - q z[1] z[2] - q z[1] z[2] z[3] 9 2 2 9 3 8 2 3 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 2 2 2 7 2 4 7 2 3 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 7 2 2 3 7 2 4 6 3 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 3 3 2 10 3 10 2 10 3 + q z[1] z[2] z[3] + q z[2] - q z[2] z[3] + q z[3] 8 4 8 3 8 2 2 - q z[1] z[2] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 8 3 7 2 3 7 2 2 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 7 2 3 6 2 4 6 2 3 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 5 3 4 5 3 3 2 9 3 9 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] - q z[2] z[3] 8 3 8 2 7 3 - q z[1] z[2] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 2 2 7 3 6 2 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] 6 2 3 6 2 2 2 6 2 3 + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 4 3 4 4 3 3 2 4 3 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 3 8 2 7 3 7 2 + q z[2] - q z[2] z[3] - q z[1] z[2] + 2 q z[1] z[2] z[3] 7 2 7 3 6 3 - q z[1] z[2] z[3] - q z[1] z[3] - q z[1] z[2] z[3] 6 2 2 5 2 4 5 2 3 + q z[1] z[2] z[3] + q z[1] z[2] + q z[1] z[2] z[3] 5 2 2 2 5 2 3 3 3 4 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 8 2 6 3 6 2 - q z[2] z[3] + q z[3] - 2 q z[1] z[2] + 2 q z[1] z[2] z[3] 6 2 6 3 5 2 2 - q z[1] z[2] z[3] - q z[1] z[3] - q z[1] z[2] z[3] 4 2 4 4 2 3 4 2 2 2 + q z[1] z[2] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 4 2 3 3 3 3 7 2 7 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] - q z[2] z[3] 7 2 6 5 3 5 2 + q z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] + q z[1] z[2] z[3] 5 2 4 2 2 3 2 3 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 2 3 3 6 2 6 6 2 5 2 + q z[1] z[2] z[3] + q z[2] - q z[2] z[3] + q z[3] + q z[1] z[2] 5 5 2 4 3 + 2 q z[1] z[2] z[3] - q z[1] z[3] - q z[1] z[2] 3 2 2 3 2 3 3 4 6 - 2 q z[1] z[2] z[3] + q z[1] z[3] - q z[1] z[2] - q z[2] 5 2 5 4 4 2 + q z[2] - q z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[3] 2 2 3 2 2 2 5 3 + q z[1] z[2] - q z[1] z[2] z[3] - q z[2] + q z[1] z[2] z[3] 3 2 2 2 2 2 3 3 3 4 - q z[1] z[3] - q z[1] z[2] + q z[1] z[2] + z[1] z[2] + q z[3] 3 2 2 2 2 2 + q z[1] z[2] - q z[1] z[2] - q z[1] z[2] + q z[1] z[2] 2 2 3 / - z[1] z[2] - q + q z[1] z[2]) / ((q z[2] - 1) (q z[3] - 1) / 6 3 2 4 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) 5 (q z[2] z[3] - 1) (q z[2] z[3] - 1)) and in Maple input notation: (q^2-z[1])*(-z[1]+q)*(-1+z[1])*(-q^13*z[1]^2*z[2]^4*z[3]^3+q^11*z[1]^3*z[2]^4*z [3]^4+q^14*z[1]*z[2]^4*z[3]^2-q^12*z[1]^2*z[2]^4*z[3]^3+q^13*z[1]*z[2]^4*z[3]^2 +q^12*z[1]^2*z[2]^4*z[3]^2-q^11*z[1]^2*z[2]^4*z[3]^3-q^10*z[1]^3*z[2]^3*z[3]^4- q^14*z[2]^4*z[3]-q^13*z[1]*z[2]^4*z[3]+q^12*z[1]*z[2]^4*z[3]^2-q^11*z[1]^2*z[2] ^3*z[3]^3+q^11*z[1]^2*z[2]^2*z[3]^4+q^9*z[1]^3*z[2]^4*z[3]^3-q^12*z[1]*z[2]^4*z [3]+q^12*z[1]*z[2]^3*z[3]^2-2*q^10*z[1]^2*z[2]^3*z[3]^3+q^10*z[1]^2*z[2]^2*z[3] ^4-q^9*z[1]^3*z[2]^4*z[3]^2+q^9*z[1]^3*z[2]^3*z[3]^3+q^8*z[1]^3*z[2]^4*z[3]^3+q ^13*z[2]^4+2*q^11*z[1]*z[2]^3*z[3]^2-q^11*z[1]*z[2]*z[3]^4+q^10*z[1]^2*z[2]^4*z [3]-q^9*z[1]^2*z[2]^4*z[3]^2-2*q^9*z[1]^2*z[2]^3*z[3]^3+q^9*z[1]^2*z[2]^2*z[3]^ 4-q^8*z[1]^3*z[2]^4*z[3]^2+q^8*z[1]^3*z[2]^3*z[3]^3-q^8*z[1]^3*z[2]^2*z[3]^4-q^ 12*z[2]^3*z[3]-q^11*z[1]*z[2]^3*z[3]+2*q^10*z[1]*z[2]^3*z[3]^2+2*q^9*z[1]^2*z[2 ]^4*z[3]-q^9*z[1]^2*z[2]^3*z[3]^2+q^9*z[1]^2*z[2]^2*z[3]^3-q^8*z[1]^2*z[2]^3*z[ 3]^3-q^7*z[1]^3*z[2]^4*z[3]^2+q^7*z[1]^3*z[2]^3*z[3]^3-q^7*z[1]^3*z[2]^2*z[3]^4 -q^11*z[2]^3*z[3]-q^10*z[1]*z[2]^4-q^10*z[1]*z[2]^3*z[3]+q^10*z[1]*z[2]^2*z[3]^ 2-q^10*z[1]*z[2]*z[3]^3+q^9*z[1]*z[2]^3*z[3]^2+2*q^8*z[1]^2*z[2]^4*z[3]-2*q^8*z [1]^2*z[2]^3*z[3]^2+q^8*z[1]^2*z[2]^2*z[3]^3+q^8*z[1]^2*z[2]*z[3]^4+q^6*z[1]^3* z[2]^3*z[3]^3-q^6*z[1]^3*z[2]^2*z[3]^4+q^11*z[2]^3-q^9*z[1]*z[2]^4-q^9*z[1]*z[2 ]^3*z[3]+2*q^9*z[1]*z[2]^2*z[3]^2-2*q^9*z[1]*z[2]*z[3]^3+q^8*z[1]^2*z[2]^3*z[3] -q^8*z[1]^2*z[2]^2*z[3]^2+q^7*z[1]^2*z[2]^4*z[3]-2*q^7*z[1]^2*z[2]^3*z[3]^2+q^7 *z[1]^2*z[2]^2*z[3]^3+q^7*z[1]^2*z[2]*z[3]^4-q^6*z[1]^3*z[2]^4*z[3]+q^6*z[1]^3* z[2]^3*z[3]^2+q^10*z[2]^3-q^10*z[2]^2*z[3]+q^10*z[3]^3-q^8*z[1]*z[2]^4-q^8*z[1] *z[2]^3*z[3]+3*q^8*z[1]*z[2]^2*z[3]^2-2*q^8*z[1]*z[2]*z[3]^3+q^7*z[1]^2*z[2]^3* z[3]-2*q^7*z[1]^2*z[2]^2*z[3]^2+q^7*z[1]^2*z[2]*z[3]^3+q^6*z[1]^2*z[2]^4*z[3]-q ^6*z[1]^2*z[2]^3*z[3]^2-q^5*z[1]^3*z[2]^4*z[3]+q^5*z[1]^3*z[2]^3*z[3]^2+q^9*z[2 ]^3-q^9*z[2]^2*z[3]-q^8*z[1]*z[2]^3+q^8*z[1]*z[2]^2*z[3]-q^7*z[1]*z[2]^3*z[3]+2 *q^7*z[1]*z[2]^2*z[3]^2-q^7*z[1]*z[2]*z[3]^3+q^6*z[1]^2*z[2]^4+q^6*z[1]^2*z[2]^ 3*z[3]-3*q^6*z[1]^2*z[2]^2*z[3]^2+2*q^6*z[1]^2*z[2]*z[3]^3-q^4*z[1]^3*z[2]^4*z[ 3]+q^4*z[1]^3*z[2]^3*z[3]^2-q^4*z[1]^3*z[2]*z[3]^4+q^8*z[2]^3-q^8*z[2]^2*z[3]-q ^7*z[1]*z[2]^3+2*q^7*z[1]*z[2]^2*z[3]-q^7*z[1]*z[2]*z[3]^2-q^7*z[1]*z[3]^3-q^6* z[1]*z[2]^3*z[3]+q^6*z[1]*z[2]^2*z[3]^2+q^5*z[1]^2*z[2]^4+q^5*z[1]^2*z[2]^3*z[3 ]-2*q^5*z[1]^2*z[2]^2*z[3]^2+2*q^5*z[1]^2*z[2]*z[3]^3-q^3*z[1]^3*z[2]^4*z[3]-q^ 8*z[2]*z[3]+q^8*z[3]^2-2*q^6*z[1]*z[2]^3+2*q^6*z[1]*z[2]^2*z[3]-q^6*z[1]*z[2]*z [3]^2-q^6*z[1]*z[3]^3-q^5*z[1]^2*z[2]^2*z[3]+q^4*z[1]^2*z[2]^4+q^4*z[1]^2*z[2]^ 3*z[3]-q^4*z[1]^2*z[2]^2*z[3]^2+q^4*z[1]^2*z[2]*z[3]^3+q^3*z[1]^3*z[2]^3*z[3]+q ^7*z[2]^2-q^7*z[2]*z[3]+q^7*z[3]^2+q^6*z[1]*z[2]*z[3]-2*q^5*z[1]*z[2]^3+q^5*z[1 ]*z[2]^2*z[3]-q^5*z[1]*z[2]*z[3]^2-2*q^4*z[1]^2*z[2]^2*z[3]+q^3*z[1]^2*z[2]^3*z [3]+q^2*z[1]^3*z[2]^3*z[3]+q^6*z[2]^2-q^6*z[2]*z[3]+q^6*z[3]^2+q^5*z[1]*z[2]^2+ 2*q^5*z[1]*z[2]*z[3]-q^5*z[1]*z[3]^2-q^4*z[1]*z[2]^3-2*q^3*z[1]^2*z[2]^2*z[3]+q ^3*z[1]^2*z[3]^3-q*z[1]^3*z[2]^4-q^6*z[2]+q^5*z[2]^2-q^5*z[2]*z[3]+2*q^4*z[1]*z [2]*z[3]-q^4*z[1]*z[3]^2+q^2*z[1]^2*z[2]^3-q^2*z[1]^2*z[2]^2*z[3]-q^5*z[2]+q^3* z[1]*z[2]*z[3]-q^3*z[1]*z[3]^2-q^2*z[1]^2*z[2]^2+q*z[1]^2*z[2]^3+z[1]^3*z[2]^3+ q^4*z[3]+q^3*z[1]*z[2]-q^2*z[1]*z[2]^2-q*z[1]^2*z[2]^2+q^2*z[1]*z[2]-z[1]^2*z[2 ]^2-q^3+q*z[1]*z[2])/(q*z[2]-1)/(q*z[3]-1)/(q^6*z[2]*z[3]-1)/(q^3*z[2]*z[3]-1)/ (q^2*z[2]*z[3]-1)/(q^4*z[2]*z[3]-1)/(q^5*z[2]*z[3]-1)/(q*z[2]*z[3]-1) 6 x[1] For the coeff., ----------- 2 4 x[2] x[3] we have: 15 2 5 4 16 5 3 15 5 3 (-q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 2 5 3 16 5 2 15 5 2 + q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 13 2 5 3 13 2 4 4 12 3 4 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 5 2 14 4 3 13 2 4 3 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 3 5 3 11 3 4 4 15 5 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 13 5 2 13 4 3 12 2 4 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 3 3 4 10 3 5 3 10 3 4 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 5 14 4 2 13 5 + q z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] 12 2 2 4 11 2 5 2 11 2 3 4 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 3 5 3 12 4 2 12 3 3 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 2 4 2 11 2 3 3 11 2 2 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 2 5 2 9 3 5 2 13 5 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] 13 4 12 3 2 12 4 + q z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 5 11 4 2 11 3 3 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 2 5 10 2 4 2 10 2 3 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 10 2 2 4 9 3 3 3 9 3 2 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 2 5 2 9 2 4 3 8 3 3 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 4 12 3 2 11 3 2 + 2 q z[2] z[3] - q z[2] z[3] + 2 q z[1] z[2] z[3] 10 2 2 3 10 5 10 4 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 9 2 5 9 2 4 2 9 2 3 3 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 8 3 4 2 8 3 3 3 8 3 2 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 3 11 3 11 4 10 5 - q z[2] z[3] - q z[1] z[2] z[3] + q z[2] z[3] + q z[1] z[2] 10 3 2 10 2 3 9 2 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 4 2 8 2 5 8 2 4 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 8 2 3 3 7 3 4 2 7 3 3 3 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 3 2 4 6 3 5 2 11 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] 10 3 10 2 2 10 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 4 9 5 9 2 3 + q z[2] z[3] + q z[1] z[2] + q z[1] z[2] z[3] 8 2 4 7 2 4 2 6 3 5 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 3 4 2 11 3 10 4 10 3 - q z[1] z[2] z[3] + q z[3] - q z[2] + q z[2] z[3] 10 2 2 9 3 9 2 2 - q z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 9 3 8 2 2 2 8 2 3 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 5 8 3 2 7 2 3 2 + q z[1] z[2] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 2 2 3 6 3 2 3 6 2 4 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 3 5 10 3 10 2 9 4 + q z[1] z[2] z[3] + q z[2] - q z[2] z[3] - q z[2] 9 3 8 4 8 3 + q z[2] z[3] + q z[1] z[2] - 2 q z[1] z[2] z[3] 8 2 2 8 3 7 2 3 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 2 2 2 7 2 3 7 3 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 2 5 6 2 4 6 2 3 2 - q z[1] z[2] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 2 2 3 5 3 2 3 5 3 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 4 3 5 9 2 8 3 8 4 + q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[3] - q z[2] 8 3 7 4 7 3 + q z[2] z[3] + q z[1] z[2] - 2 q z[1] z[2] z[3] 7 2 2 6 2 3 6 2 2 2 + 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 6 2 3 5 2 5 5 2 4 + q z[1] z[2] z[3] - q z[1] z[2] - q z[1] z[2] z[3] 4 3 4 8 2 7 3 7 2 - q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] + q z[1] z[2] z[3] 7 3 6 4 6 3 - q z[1] z[3] + 2 q z[1] z[2] - q z[1] z[2] z[3] 6 2 2 5 2 3 5 2 2 2 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 5 2 3 4 2 5 4 2 4 + q z[1] z[2] z[3] - q z[1] z[2] - q z[1] z[2] z[3] 3 3 4 8 2 8 8 2 7 3 - q z[1] z[2] z[3] + q z[2] - q z[2] z[3] + q z[3] - q z[2] 6 3 6 2 5 2 2 - q z[1] z[2] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 5 4 4 2 3 3 3 3 7 2 + 2 q z[1] z[2] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] 7 7 2 6 6 3 6 2 - q z[2] z[3] + q z[3] + q z[1] z[2] z[3] - q z[2] + q z[2] z[3] 5 3 5 2 5 2 - q z[1] z[2] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 4 2 2 4 2 3 4 4 - 2 q z[1] z[2] z[3] + q z[1] z[3] + q z[1] z[2] 3 2 3 3 5 6 2 6 + q z[1] z[2] z[3] + q z[1] z[2] + 2 q z[2] - q z[2] z[3] 5 2 5 5 3 4 2 - q z[1] z[2] + 2 q z[1] z[2] z[3] - q z[2] - q z[1] z[2] z[3] 3 2 3 3 2 2 2 2 4 6 + q z[1] z[2] - q z[1] z[2] z[3] - q z[1] z[2] - q z[3] 5 2 5 4 2 4 + q z[2] - q z[2] z[3] - q z[1] z[2] + 2 q z[1] z[2] z[3] 4 2 2 2 3 2 4 3 4 - q z[1] z[3] + q z[1] z[2] - q z[1] z[2] - z[1] z[2] 3 2 2 2 2 2 3 2 3 - 2 q z[1] z[2] - q z[1] z[3] + q z[1] z[2] + q z[1] z[2] 4 3 2 2 2 3 3 + q z[2] + q z[1] z[3] - q z[1] z[2] + z[1] z[2] + q z[2] 2 2 3 2 + q z[1] z[3] - q z[1] z[2] - q ) (-1 + z[1]) (q - z[1]) (-z[1] + q) / 2 4 / ((q z[2] - 1) (q z[3] - 1) (q z[3] - 1) (q z[2] z[3] - 1) / 2 3 6 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) 5 (q z[2] z[3] - 1)) and in Maple input notation: (-q^15*z[1]^2*z[2]^5*z[3]^4+q^16*z[1]*z[2]^5*z[3]^3+q^15*z[1]*z[2]^5*z[3]^3+q^ 14*z[1]^2*z[2]^5*z[3]^3-q^16*z[2]^5*z[3]^2-q^15*z[1]*z[2]^5*z[3]^2+q^13*z[1]^2* z[2]^5*z[3]^3-q^13*z[1]^2*z[2]^4*z[3]^4+q^12*z[1]^3*z[2]^4*z[3]^4-2*q^14*z[1]*z [2]^5*z[3]^2+q^14*z[1]*z[2]^4*z[3]^3-q^13*z[1]^2*z[2]^4*z[3]^3-q^11*z[1]^3*z[2] ^5*z[3]^3+q^11*z[1]^3*z[2]^4*z[3]^4+q^15*z[2]^5*z[3]-q^13*z[1]*z[2]^5*z[3]^2+q^ 13*z[1]*z[2]^4*z[3]^3-q^12*z[1]^2*z[2]^4*z[3]^3-q^11*z[1]^3*z[2]^3*z[3]^4-q^10* z[1]^3*z[2]^5*z[3]^3+q^10*z[1]^3*z[2]^4*z[3]^4+q^14*z[2]^5*z[3]-q^14*z[2]^4*z[3 ]^2+q^13*z[1]*z[2]^5*z[3]+q^12*z[1]^2*z[2]^2*z[3]^4+2*q^11*z[1]^2*z[2]^5*z[3]^2 -q^11*z[1]^2*z[2]^3*z[3]^4-q^9*z[1]^3*z[2]^5*z[3]^3-2*q^12*z[1]*z[2]^4*z[3]^2+q ^12*z[1]*z[2]^3*z[3]^3+q^11*z[1]^2*z[2]^4*z[3]^2-2*q^11*z[1]^2*z[2]^3*z[3]^3+q^ 11*z[1]^2*z[2]^2*z[3]^4+2*q^10*z[1]^2*z[2]^5*z[3]^2+q^9*z[1]^3*z[2]^5*z[3]^2-q^ 13*z[2]^5+q^13*z[2]^4*z[3]+q^12*z[1]*z[2]^3*z[3]^2-q^12*z[1]*z[2]*z[3]^4-q^11*z [1]*z[2]^5*z[3]-2*q^11*z[1]*z[2]^4*z[3]^2+q^11*z[1]*z[2]^3*z[3]^3-q^10*z[1]^2*z [2]^5*z[3]+q^10*z[1]^2*z[2]^4*z[3]^2-3*q^10*z[1]^2*z[2]^3*z[3]^3+q^10*z[1]^2*z[ 2]^2*z[3]^4+q^9*z[1]^3*z[2]^3*z[3]^3-q^9*z[1]^3*z[2]^2*z[3]^4+q^9*z[1]^2*z[2]^5 *z[3]^2+q^9*z[1]^2*z[2]^4*z[3]^3+q^8*z[1]^3*z[2]^3*z[3]^4+2*q^12*z[2]^4*z[3]-q^ 12*z[2]^3*z[3]^2+2*q^11*z[1]*z[2]^3*z[3]^2+q^10*z[1]^2*z[2]^2*z[3]^3-q^10*z[1]* z[2]^5*z[3]-2*q^10*z[1]*z[2]^4*z[3]^2-2*q^9*z[1]^2*z[2]^5*z[3]+2*q^9*z[1]^2*z[2 ]^4*z[3]^2-3*q^9*z[1]^2*z[2]^3*z[3]^3-q^8*z[1]^3*z[2]^4*z[3]^2+q^8*z[1]^3*z[2]^ 3*z[3]^3-q^8*z[1]^3*z[2]^2*z[3]^4-q^12*z[2]^3*z[3]-q^11*z[1]*z[2]*z[3]^3+q^11*z [2]^4*z[3]+q^10*z[1]*z[2]^5+q^10*z[1]*z[2]^3*z[3]^2+q^10*z[1]*z[2]^2*z[3]^3+q^9 *z[1]^2*z[2]*z[3]^4-q^9*z[1]*z[2]^4*z[3]^2-q^8*z[1]^2*z[2]^5*z[3]+2*q^8*z[1]^2* z[2]^4*z[3]^2-2*q^8*z[1]^2*z[2]^3*z[3]^3-q^7*z[1]^3*z[2]^4*z[3]^2+q^7*z[1]^3*z[ 2]^3*z[3]^3-q^7*z[1]^3*z[2]^2*z[3]^4-q^6*z[1]^3*z[2]^5*z[3]^2-q^11*z[2]^4-q^10* z[1]*z[2]^3*z[3]+q^10*z[1]*z[2]^2*z[3]^2-q^10*z[1]*z[2]*z[3]^3+q^10*z[2]^4*z[3] +q^9*z[1]*z[2]^5+q^9*z[1]*z[2]^2*z[3]^3+q^8*z[1]^2*z[2]*z[3]^4+q^7*z[1]^2*z[2]^ 4*z[3]^2+q^6*z[1]^3*z[2]^5*z[3]-q^6*z[1]^3*z[2]^4*z[3]^2+q^11*z[3]^3-q^10*z[2]^ 4+q^10*z[2]^3*z[3]-q^10*z[2]^2*z[3]^2-q^9*z[1]*z[2]^3*z[3]+3*q^9*z[1]*z[2]^2*z[ 3]^2-2*q^9*z[1]*z[2]*z[3]^3-q^8*z[1]^2*z[2]^2*z[3]^2+q^8*z[1]^2*z[2]*z[3]^3+q^8 *z[1]*z[2]^5-q^8*z[1]*z[2]^3*z[3]^2+q^7*z[1]^2*z[2]^3*z[3]^2-q^7*z[1]^2*z[2]^2* z[3]^3+q^6*z[1]^3*z[2]^2*z[3]^3+q^6*z[1]^2*z[2]^4*z[3]^2+q^5*z[1]^3*z[2]^5*z[3] +q^10*z[2]^3-q^10*z[2]^2*z[3]-q^9*z[2]^4+q^9*z[2]^3*z[3]+q^8*z[1]*z[2]^4-2*q^8* z[1]*z[2]^3*z[3]+3*q^8*z[1]*z[2]^2*z[3]^2-q^8*z[1]*z[2]*z[3]^3+q^7*z[1]^2*z[2]^ 3*z[3]-2*q^7*z[1]^2*z[2]^2*z[3]^2+q^7*z[1]^2*z[2]*z[3]^3-q^7*z[1]*z[2]^3*z[3]^2 -q^6*z[1]^2*z[2]^5-q^6*z[1]^2*z[2]^4*z[3]+q^6*z[1]^2*z[2]^3*z[3]^2-q^6*z[1]^2*z [2]^2*z[3]^3+q^5*z[1]^3*z[2]^2*z[3]^3-q^5*z[1]^3*z[2]*z[3]^4+q^4*z[1]^3*z[2]^5* z[3]-q^9*z[2]^2*z[3]-q^8*z[1]*z[3]^3-q^8*z[2]^4+q^8*z[2]^3*z[3]+q^7*z[1]*z[2]^4 -2*q^7*z[1]*z[2]^3*z[3]+3*q^7*z[1]*z[2]^2*z[3]^2+2*q^6*z[1]^2*z[2]^3*z[3]-3*q^6 *z[1]^2*z[2]^2*z[3]^2+q^6*z[1]^2*z[2]*z[3]^3-q^5*z[1]^2*z[2]^5-q^5*z[1]^2*z[2]^ 4*z[3]-q^4*z[1]^3*z[2]^4*z[3]-q^8*z[2]*z[3]^2-q^7*z[1]*z[2]^3+q^7*z[1]*z[2]*z[3 ]^2-q^7*z[1]*z[3]^3+2*q^6*z[1]*z[2]^4-q^6*z[1]*z[2]^3*z[3]+q^6*z[1]*z[2]^2*z[3] ^2+2*q^5*z[1]^2*z[2]^3*z[3]-q^5*z[1]^2*z[2]^2*z[3]^2+q^5*z[1]^2*z[2]*z[3]^3-q^4 *z[1]^2*z[2]^5-q^4*z[1]^2*z[2]^4*z[3]-q^3*z[1]^3*z[2]^4*z[3]+q^8*z[2]^2-q^8*z[2 ]*z[3]+q^8*z[3]^2-q^7*z[2]^3-q^6*z[1]*z[2]^3-q^6*z[1]*z[2]^2*z[3]-q^5*z[1]^2*z[ 2]*z[3]^2+2*q^5*z[1]*z[2]^4+2*q^4*z[1]^2*z[2]^3*z[3]+q^3*z[1]^3*z[2]*z[3]^3+q^7 *z[2]^2-q^7*z[2]*z[3]+q^7*z[3]^2+q^6*z[1]*z[2]*z[3]-q^6*z[2]^3+q^6*z[2]^2*z[3]- q^5*z[1]*z[2]^3-2*q^5*z[1]*z[2]^2*z[3]+q^5*z[1]*z[2]*z[3]^2-2*q^4*z[1]^2*z[2]*z [3]^2+q^4*z[1]^2*z[3]^3+q^4*z[1]*z[2]^4+q^3*z[1]^2*z[2]^3*z[3]+q*z[1]^3*z[2]^5+ 2*q^6*z[2]^2-q^6*z[2]*z[3]-q^5*z[1]*z[2]^2+2*q^5*z[1]*z[2]*z[3]-q^5*z[2]^3-q^4* z[1]*z[2]^2*z[3]+q^3*z[1]^2*z[2]^3-q^3*z[1]^2*z[2]*z[3]^2-q^2*z[1]^2*z[2]^4-q^6 *z[3]+q^5*z[2]^2-q^5*z[2]*z[3]-q^4*z[1]*z[2]^2+2*q^4*z[1]*z[2]*z[3]-q^4*z[1]*z[ 3]^2+q^2*z[1]^2*z[2]^3-q*z[1]^2*z[2]^4-z[1]^3*z[2]^4-2*q^3*z[1]*z[2]^2-q^2*z[1] ^2*z[3]^2+q^2*z[1]*z[2]^3+q*z[1]^2*z[2]^3+q^4*z[2]+q^3*z[1]*z[3]-q^2*z[1]*z[2]^ 2+z[1]^2*z[2]^3+q^3*z[2]+q^2*z[1]*z[3]-q*z[1]*z[2]^2-q^3)*(-1+z[1])*(q^2-z[1])* (-z[1]+q)/(q*z[2]-1)/(q^2*z[3]-1)/(q*z[3]-1)/(q^4*z[2]*z[3]-1)/(q^2*z[2]*z[3]-1 )/(q^3*z[2]*z[3]-1)/(q^6*z[2]*z[3]-1)/(q*z[2]*z[3]-1)/(q^5*z[2]*z[3]-1) 6 x[1] For the coeff., ---------- 5 x[2] x[3] we have: 15 5 3 13 2 5 3 15 5 2 (q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 14 5 2 14 4 3 13 2 4 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 5 2 10 3 5 3 14 5 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] z[3] 14 4 2 13 3 3 12 2 3 3 - q z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 5 12 5 12 4 2 + q z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 2 4 2 11 2 3 3 10 3 3 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 2 5 2 9 3 4 3 13 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] z[3] 13 3 2 12 3 2 12 2 3 - q z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 2 2 3 11 4 2 10 2 4 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 2 3 3 9 3 3 3 9 2 5 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 3 5 2 8 3 4 3 12 5 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] 12 4 10 2 2 3 10 5 + 2 q z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 4 2 9 2 5 9 2 4 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 8 3 4 2 8 3 3 3 12 2 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 11 2 2 11 3 11 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 9 2 3 2 9 2 2 3 9 5 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 4 2 8 3 2 3 8 2 5 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 8 2 4 2 7 3 4 2 11 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] 11 3 10 3 10 2 2 + q z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 4 9 2 2 2 9 5 + q z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] 9 4 9 3 2 8 2 3 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 8 2 2 3 7 3 2 3 7 2 5 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 3 4 2 11 2 10 2 10 4 - q z[1] z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] - q z[2] 10 3 9 3 9 2 2 + q z[2] z[3] - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 9 4 8 2 2 2 8 2 3 + q z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 5 8 3 2 7 2 4 + q z[1] z[2] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 2 3 2 6 3 3 2 6 3 2 3 + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 3 5 5 3 4 2 9 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 4 9 3 8 4 8 3 - q z[2] + q z[2] z[3] + q z[1] z[2] - 3 q z[1] z[2] z[3] 7 2 3 7 2 2 2 7 2 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 5 7 4 6 2 4 + q z[1] z[2] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 2 3 2 5 3 3 2 5 3 2 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 4 3 5 10 2 8 2 + q z[1] z[2] z[3] - q z[3] - q z[1] z[2] z[3] 8 2 8 4 8 3 7 2 2 + 3 q z[1] z[2] z[3] - q z[2] + q z[2] z[3] - q z[1] z[2] z[3] 7 4 7 3 7 2 2 + 2 q z[1] z[2] - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 2 3 5 2 5 5 2 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] - q z[1] z[2] z[3] 5 2 3 2 4 3 3 2 3 3 5 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 3 8 2 7 2 7 2 - q z[2] + q z[2] z[3] - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 7 4 6 2 2 6 4 5 2 3 - q z[2] - q z[1] z[2] z[3] + 2 q z[1] z[2] + 2 q z[1] z[2] z[3] 4 3 2 2 4 3 3 4 2 5 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] 4 2 4 8 2 8 7 - 2 q z[1] z[2] z[3] + q z[2] - q z[2] z[3] + q z[1] z[2] z[3] 7 2 7 3 7 2 6 2 + q z[1] z[3] - q z[2] + q z[2] z[3] - 4 q z[1] z[2] z[3] 5 2 2 5 2 2 5 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] 4 2 4 4 2 3 4 2 2 2 - q z[1] z[2] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 3 3 2 2 3 2 5 3 2 4 7 2 - q z[1] z[2] z[3] - q z[1] z[2] - q z[1] z[2] z[3] + q z[2] 6 2 6 3 5 3 5 2 + q z[1] z[3] - 2 q z[2] + q z[1] z[2] - 3 q z[1] z[2] z[3] 4 2 2 4 2 2 4 4 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] 4 3 3 2 4 7 6 2 6 + q z[1] z[2] z[3] - q z[1] z[2] - q z[3] + q z[2] + q z[2] z[3] 5 2 5 3 4 3 4 2 - q z[1] z[2] - q z[2] + q z[1] z[2] - 2 q z[1] z[2] z[3] 3 2 2 3 4 2 3 2 + 2 q z[1] z[2] z[3] + q z[1] z[2] - q z[1] z[2] z[3] 2 2 4 3 5 6 6 4 2 - q z[1] z[2] + z[1] z[2] + q z[2] - q z[3] - q z[1] z[2] 4 3 3 2 3 2 2 3 3 - q z[2] + q z[1] z[2] z[3] - q z[1] z[3] + 2 q z[1] z[2] 2 4 5 3 2 3 - q z[1] z[2] + q z[2] - q z[1] z[2] - q z[1] z[2] z[3] 2 2 2 3 2 4 4 + 2 q z[1] z[2] z[3] + q z[1] z[2] - z[1] z[2] + q z[2] 3 3 3 2 3 3 - q z[1] z[2] + q z[1] z[3] - q z[2] + q z[1] z[2] + q z[2] 2 2 2 - q z[1] z[2] + q z[1] z[3] - q z[1]) (-1 + z[1]) (q - z[1]) / 2 4 (-z[1] + q) / ((q z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) / 5 2 6 3 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[3] - 1)) and in Maple input notation: (q^15*z[1]*z[2]^5*z[3]^3+q^13*z[1]^2*z[2]^5*z[3]^3-q^15*z[2]^5*z[3]^2-q^14*z[1] *z[2]^5*z[3]^2+q^14*z[1]*z[2]^4*z[3]^3-q^13*z[1]^2*z[2]^4*z[3]^3-2*q^13*z[1]*z[ 2]^5*z[3]^2-q^10*z[1]^3*z[2]^5*z[3]^3+q^14*z[2]^5*z[3]-q^14*z[2]^4*z[3]^2+q^13* z[1]*z[2]^3*z[3]^3-q^12*z[1]^2*z[2]^3*z[3]^3+q^13*z[2]^5*z[3]+q^12*z[1]*z[2]^5* z[3]-2*q^12*z[1]*z[2]^4*z[3]^2+q^11*z[1]^2*z[2]^4*z[3]^2-q^11*z[1]^2*z[2]^3*z[3 ]^3+q^10*z[1]^3*z[2]^3*z[3]^3+2*q^10*z[1]^2*z[2]^5*z[3]^2-q^9*z[1]^3*z[2]^4*z[3 ]^3+q^13*z[2]^4*z[3]-q^13*z[2]^3*z[3]^2+q^12*z[1]*z[2]^3*z[3]^2+q^12*z[1]*z[2]^ 2*z[3]^3-q^11*z[1]^2*z[2]^2*z[3]^3-q^11*z[1]*z[2]^4*z[3]^2+q^10*z[1]^2*z[2]^4*z [3]^2-q^10*z[1]^2*z[2]^3*z[3]^3+q^9*z[1]^3*z[2]^3*z[3]^3+q^9*z[1]^2*z[2]^5*z[3] ^2+q^8*z[1]^3*z[2]^5*z[3]^2-q^8*z[1]^3*z[2]^4*z[3]^3-q^12*z[2]^5+2*q^12*z[2]^4* z[3]-q^10*z[1]^2*z[2]^2*z[3]^3-q^10*z[1]*z[2]^5*z[3]-q^10*z[1]*z[2]^4*z[3]^2-q^ 9*z[1]^2*z[2]^5*z[3]+3*q^9*z[1]^2*z[2]^4*z[3]^2-q^8*z[1]^3*z[2]^4*z[3]^2+q^8*z[ 1]^3*z[2]^3*z[3]^3-q^12*z[2]^2*z[3]^2+q^11*z[1]*z[2]^2*z[3]^2+q^11*z[1]*z[2]*z[ 3]^3+q^11*z[2]^4*z[3]+q^9*z[1]^2*z[2]^3*z[3]^2-2*q^9*z[1]^2*z[2]^2*z[3]^3-q^9*z [1]*z[2]^5*z[3]-q^9*z[1]*z[2]^4*z[3]^2+q^8*z[1]^3*z[2]^2*z[3]^3-2*q^8*z[1]^2*z[ 2]^5*z[3]+2*q^8*z[1]^2*z[2]^4*z[3]^2-q^7*z[1]^3*z[2]^4*z[3]^2-q^11*z[2]^4+q^11* z[2]^3*z[3]-q^10*z[1]*z[2]^3*z[3]+q^10*z[1]*z[2]^2*z[3]^2+q^10*z[2]^4*z[3]-q^9* z[1]^2*z[2]^2*z[3]^2+q^9*z[1]*z[2]^5-q^9*z[1]*z[2]^4*z[3]-q^9*z[1]*z[2]^3*z[3]^ 2+3*q^8*z[1]^2*z[2]^3*z[3]^2-q^8*z[1]^2*z[2]^2*z[3]^3+q^7*z[1]^3*z[2]^2*z[3]^3- q^7*z[1]^2*z[2]^5*z[3]-q^6*z[1]^3*z[2]^4*z[3]^2-q^11*z[2]*z[3]^2+q^10*z[1]*z[2] *z[3]^2-q^10*z[2]^4+q^10*z[2]^3*z[3]-2*q^9*z[1]*z[2]^3*z[3]+2*q^9*z[1]*z[2]^2*z [3]^2+q^9*z[2]^4*z[3]-2*q^8*z[1]^2*z[2]^2*z[3]^2-q^8*z[1]^2*z[2]*z[3]^3+q^8*z[1 ]*z[2]^5-q^8*z[1]*z[2]^3*z[3]^2-q^7*z[1]^2*z[2]^4*z[3]+4*q^7*z[1]^2*z[2]^3*z[3] ^2-q^6*z[1]^3*z[2]^3*z[3]^2+q^6*z[1]^3*z[2]^2*z[3]^3+q^5*z[1]^3*z[2]^5*z[3]-q^5 *z[1]^3*z[2]^4*z[3]^2+q^9*z[1]*z[2]*z[3]^2-q^9*z[2]^4+q^9*z[2]^3*z[3]+q^8*z[1]* z[2]^4-3*q^8*z[1]*z[2]^3*z[3]+q^7*z[1]^2*z[2]^3*z[3]-q^7*z[1]^2*z[2]^2*z[3]^2-q ^7*z[1]^2*z[2]*z[3]^3+q^7*z[1]*z[2]^5+q^7*z[1]*z[2]^4*z[3]-q^6*z[1]^2*z[2]^4*z[ 3]+2*q^6*z[1]^2*z[2]^3*z[3]^2-q^5*z[1]^3*z[2]^3*z[3]^2+q^5*z[1]^3*z[2]^2*z[3]^3 +q^4*z[1]^3*z[2]^5*z[3]-q^10*z[3]^2-q^8*z[1]*z[2]^2*z[3]+3*q^8*z[1]*z[2]*z[3]^2 -q^8*z[2]^4+q^8*z[2]^3*z[3]-q^7*z[1]^2*z[2]*z[3]^2+2*q^7*z[1]*z[2]^4-3*q^7*z[1] *z[2]^3*z[3]-q^7*z[1]*z[2]^2*z[3]^2+2*q^6*z[1]^2*z[2]^3*z[3]-q^5*z[1]^2*z[2]^5- q^5*z[1]^2*z[2]^4*z[3]+q^5*z[1]^2*z[2]^3*z[3]^2-q^4*z[1]^3*z[2]^3*z[3]^2+q^3*z[ 1]^3*z[2]^5*z[3]-q^8*z[2]^3+q^8*z[2]^2*z[3]-3*q^7*z[1]*z[2]^2*z[3]+2*q^7*z[1]*z [2]*z[3]^2-q^7*z[2]^4-q^6*z[1]^2*z[2]*z[3]^2+2*q^6*z[1]*z[2]^4+2*q^5*z[1]^2*z[2 ]^3*z[3]-q^4*z[1]^3*z[2]^2*z[3]^2+q^4*z[1]^3*z[2]*z[3]^3-q^4*z[1]^2*z[2]^5-2*q^ 4*z[1]^2*z[2]^4*z[3]+q^8*z[2]^2-q^8*z[2]*z[3]+q^7*z[1]*z[2]*z[3]+q^7*z[1]*z[3]^ 2-q^7*z[2]^3+q^7*z[2]^2*z[3]-4*q^6*z[1]*z[2]^2*z[3]+q^5*z[1]^2*z[2]^2*z[3]-q^5* z[1]^2*z[2]*z[3]^2+2*q^5*z[1]*z[2]^4-q^4*z[1]^2*z[2]^4+2*q^4*z[1]^2*z[2]^3*z[3] +q^4*z[1]^2*z[2]^2*z[3]^2-q^3*z[1]^3*z[2]^2*z[3]^2-q^3*z[1]^2*z[2]^5-q^3*z[1]^2 *z[2]^4*z[3]+q^7*z[2]^2+q^6*z[1]*z[3]^2-2*q^6*z[2]^3+q^5*z[1]*z[2]^3-3*q^5*z[1] *z[2]^2*z[3]+2*q^4*z[1]^2*z[2]^2*z[3]-2*q^4*z[1]^2*z[2]*z[3]^2+2*q^4*z[1]*z[2]^ 4+q^4*z[1]*z[2]^3*z[3]-q^3*z[1]^2*z[2]^4-q^7*z[3]+q^6*z[2]^2+q^6*z[2]*z[3]-q^5* z[1]*z[2]^2-q^5*z[2]^3+q^4*z[1]*z[2]^3-2*q^4*z[1]*z[2]^2*z[3]+2*q^3*z[1]^2*z[2] ^2*z[3]+q^3*z[1]*z[2]^4-q^2*z[1]^3*z[2]*z[3]^2-q^2*z[1]^2*z[2]^4+z[1]^3*z[2]^5+ q^6*z[2]-q^6*z[3]-q^4*z[1]*z[2]^2-q^4*z[2]^3+q^3*z[1]^2*z[2]*z[3]-q^3*z[1]^2*z[ 3]^2+2*q^3*z[1]*z[2]^3-q*z[1]^2*z[2]^4+q^5*z[2]-q^3*z[1]*z[2]^2-q^3*z[1]*z[2]*z [3]+2*q^2*z[1]^2*z[2]*z[3]+q^2*z[1]*z[2]^3-z[1]^2*z[2]^4+q^4*z[2]-q^3*z[1]*z[2] +q^3*z[1]*z[3]-q^3*z[2]^2+q*z[1]*z[2]^3+q^3*z[2]-q^2*z[1]*z[2]+q*z[1]^2*z[3]-q* z[1])*(-1+z[1])*(q^2-z[1])*(-z[1]+q)/(q^2*z[3]-1)/(q*z[2]*z[3]-1)/(q^4*z[2]*z[3 ]-1)/(q^5*z[2]*z[3]-1)/(q^2*z[2]*z[3]-1)/(q^6*z[2]*z[3]-1)/(q^3*z[2]*z[3]-1)/(q *z[3]-1) ------------------------------------------------------ When the sum of the positive exponents is, 7 there are, 7, possibe monomials: {[1, 6, -7], [2, 5, -7], [3, 4, -7], [7, -7, 0], [7, -3, -4], [7, -2, -5], [7, -1, -6]} 6 x[1] x[2] For the coeff., ---------- 7 x[3] we have: 18 6 3 18 5 2 3 17 6 2 3 (q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 5 3 18 4 2 3 17 4 3 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 6 2 3 16 5 3 3 18 4 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 3 2 3 17 4 2 3 17 3 3 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 5 2 3 15 5 3 3 18 3 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 2 2 3 17 3 2 3 17 2 3 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 6 2 16 3 3 3 15 3 4 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 5 3 3 13 6 3 3 13 5 4 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 2 3 18 2 3 17 5 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[3] 17 4 2 17 2 2 3 16 5 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 16 3 2 3 16 2 3 3 15 6 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 5 2 2 15 3 3 3 14 6 2 2 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 4 3 3 14 3 4 3 13 5 3 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 13 4 4 3 12 5 4 3 11 6 4 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 3 17 4 2 17 3 2 + q z[1] z[2] z[3] - q z[1] z[3] + q z[1] z[2] z[3] 17 2 3 16 3 2 2 16 2 2 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 5 2 15 4 2 2 15 3 2 3 - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 2 3 3 14 3 3 3 14 2 4 3 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 4 3 3 13 3 4 3 12 5 3 3 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 4 4 3 18 3 17 3 2 + 2 q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[3] 17 2 2 16 3 2 16 2 2 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 2 3 15 4 2 15 2 2 3 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 15 3 3 14 5 2 14 4 2 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 14 2 3 3 13 2 4 3 12 6 2 2 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 5 3 2 12 4 3 3 12 3 4 3 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 6 3 2 11 4 4 3 17 2 2 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[3] 17 2 16 2 2 15 5 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[3] 15 2 2 2 15 2 3 14 4 2 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 2 2 3 14 3 3 13 6 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 5 2 13 4 2 2 13 2 3 3 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 12 5 2 2 12 4 3 2 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 3 3 3 12 2 4 3 11 4 3 3 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 6 3 2 10 4 4 3 17 2 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[3] 16 2 15 4 15 2 2 + q z[1] z[2] z[3] + q z[1] z[3] + q z[1] z[2] z[3] 15 2 3 14 5 14 4 - q z[2] z[3] + q z[1] z[3] - q z[1] z[2] z[3] 14 2 2 2 14 2 3 13 5 - 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 13 4 2 13 3 2 2 13 2 3 2 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 3 3 12 5 2 12 4 2 2 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 12 3 3 2 12 2 3 3 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 11 4 3 2 11 3 3 3 - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 2 4 3 10 5 3 2 - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 10 3 4 3 9 4 4 3 17 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[3] 15 2 14 4 14 3 + q z[1] z[2] z[3] + 2 q z[1] z[3] - q z[1] z[2] z[3] 14 2 2 14 2 2 14 2 3 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[2] z[3] 13 3 2 13 2 2 2 13 2 3 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 5 12 4 2 12 3 2 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 12 3 3 11 4 2 2 + 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 11 3 3 2 11 2 4 2 - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 2 3 3 11 4 3 10 6 2 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 5 2 2 10 4 3 2 10 3 3 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 2 4 3 9 5 3 2 9 3 4 3 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 4 4 3 7 6 4 2 14 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[3] 14 2 13 4 13 3 + 3 q z[1] z[2] z[3] + q z[1] z[3] - 2 q z[1] z[2] z[3] 13 2 2 13 2 3 12 3 2 - 3 q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 12 2 2 2 12 3 2 11 4 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 3 2 2 11 3 3 + 6 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 10 5 2 10 4 2 2 10 3 3 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 10 2 4 2 10 4 3 9 6 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 2 4 3 8 5 3 2 8 3 4 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 5 4 2 14 2 13 3 - q z[1] z[2] z[3] + 2 q z[2] z[3] + q z[1] z[3] 13 2 12 5 12 4 + 2 q z[1] z[2] z[3] - q z[1] + q z[1] z[3] 12 3 12 2 2 12 2 2 - 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 3 2 11 2 2 2 11 3 2 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 3 3 10 5 10 3 2 2 + q z[2] z[3] + q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 10 2 3 2 10 3 3 9 5 2 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 9 3 3 2 9 2 4 2 9 4 3 - 6 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 4 3 2 8 2 4 3 7 5 3 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 4 4 2 7 3 4 3 6 5 4 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 13 2 12 4 12 3 + q z[1] z[2] z[3] + 2 q z[2] z[3] - q z[1] + q z[1] z[3] 12 2 12 2 2 11 4 - 2 q z[1] z[2] z[3] + q z[2] z[3] + q z[1] z[3] 11 3 11 2 2 11 2 2 - 5 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 10 4 10 3 2 10 2 2 2 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 10 3 3 9 5 9 4 2 + q z[2] z[3] + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 9 3 2 2 9 2 3 2 9 4 2 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 3 3 8 5 2 8 3 3 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 8 2 4 2 8 4 3 7 4 3 2 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 3 4 2 6 6 3 6 4 4 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 12 2 12 12 2 - q z[1] z[3] + q z[1] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 11 4 11 3 11 2 11 2 - q z[1] + q z[1] z[3] - 5 q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 3 10 2 2 10 2 2 - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 9 5 9 4 9 3 2 + q z[1] z[2] + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 2 2 2 9 3 2 9 3 3 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] z[3] 8 4 2 8 2 3 2 8 4 2 - 4 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 7 5 2 7 3 3 2 7 2 4 2 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 7 4 3 6 5 3 6 4 3 2 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 3 4 2 5 4 4 2 13 11 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[3] + q z[1] z[3] 11 10 4 10 2 - q z[1] z[2] z[3] - q z[1] - 5 q z[1] z[2] z[3] 10 2 10 2 2 9 4 + q z[1] z[2] z[3] - 2 q z[2] z[3] + q z[1] z[2] 9 3 9 2 2 9 2 2 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 3 2 8 5 8 4 - q z[2] z[3] + q z[1] z[2] + q z[1] z[2] z[3] 8 2 2 2 8 3 2 7 4 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 7 2 3 2 7 4 2 6 5 2 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 4 3 6 3 3 2 6 2 4 2 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 4 3 5 5 3 5 3 4 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 11 2 11 11 10 3 - q z[3] + q z[1] + q z[1] z[3] - q z[2] z[3] - q z[1] 10 9 4 9 2 - q z[1] z[2] z[3] - q z[1] - 4 q z[1] z[2] z[3] 9 2 9 2 2 8 4 + q z[1] z[2] z[3] - 2 q z[2] z[3] + 2 q z[1] z[2] 8 2 2 8 3 8 3 2 + 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[2] z[3] 7 4 7 3 2 7 3 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 4 2 6 3 3 6 2 3 2 - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 6 4 2 6 4 3 5 4 3 + 2 q z[1] z[2] z[3] - q z[2] z[3] + 2 q z[1] z[2] z[3] 5 2 4 2 4 3 4 2 10 2 9 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] - q z[1] 9 8 4 8 3 8 2 - q z[1] z[2] z[3] - q z[1] + q z[1] z[2] - 3 q z[1] z[2] z[3] 8 2 8 2 2 7 4 + 3 q z[1] z[2] z[3] - q z[2] z[3] + 2 q z[1] z[2] 7 3 7 2 2 7 3 + q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 7 3 2 6 3 2 6 2 3 - q z[2] z[3] - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 6 4 5 5 2 5 4 2 - q z[1] z[2] z[3] - q z[1] z[2] - q z[1] z[2] z[3] 5 3 3 5 2 3 2 5 4 2 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 4 4 3 10 9 2 9 8 3 + q z[1] z[2] z[3] + q z[1] + q z[1] + q z[2] z[3] - 2 q z[1] 8 8 2 7 3 - 2 q z[1] z[2] z[3] + 2 q z[2] z[3] + 2 q z[1] z[2] 7 2 6 4 6 2 2 + 4 q z[1] z[2] z[3] + q z[1] z[2] + q z[1] z[2] z[3] 6 3 5 4 2 5 3 2 - q z[1] z[2] z[3] - q z[1] z[2] - 2 q z[1] z[2] z[3] 5 2 3 5 4 5 4 2 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] z[3] 4 3 3 4 4 2 9 8 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] + q z[2] z[3] 7 3 7 7 2 6 3 - q z[1] - q z[1] z[2] z[3] + 3 q z[2] z[3] + 2 q z[1] z[2] 6 2 6 3 5 4 5 3 2 + 2 q z[1] z[2] z[3] + q z[2] z[3] + q z[1] z[2] - q z[1] z[2] 5 2 2 5 3 5 3 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] z[3] 4 4 2 4 3 2 4 2 3 - q z[1] z[2] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 4 4 4 4 2 3 3 3 - q z[1] z[2] z[3] + q z[2] z[3] + q z[1] z[2] z[3] 3 4 2 8 7 6 3 6 2 + q z[1] z[2] z[3] + q z[1] - q z[1] z[2] - q z[1] + q z[1] z[2] 6 2 5 3 5 2 2 5 2 + 2 q z[2] z[3] + 2 q z[1] z[2] - q z[1] z[2] + q z[1] z[2] z[3] 4 3 2 4 3 3 2 3 - q z[1] z[2] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 3 4 3 4 2 7 7 6 2 - q z[1] z[2] z[3] + q z[2] z[3] + q z[1] - q z[2] - q z[1] 6 5 2 5 2 4 3 - q z[1] z[2] + 2 q z[1] z[2] - q z[1] z[2] + q z[1] z[2] 4 2 2 4 2 4 3 3 3 2 - q z[1] z[2] + q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] 3 3 3 4 2 2 3 - q z[1] z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] 2 4 6 5 2 4 2 4 2 - q z[1] z[2] z[3] - q z[2] - q z[2] + q z[1] z[2] - q z[1] z[2] 3 2 2 3 3 2 4 4 - q z[1] z[2] - 2 q z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 5 3 2 3 2 2 2 2 2 3 - q z[2] + q z[1] z[2] - q z[1] z[2] - q z[1] z[2] - q z[2] z[3] 4 2 2 2 3 2 2 2 - q z[2] z[3] - q z[1] z[2] + q z[2] + q z[2] - q z[1] z[2] 3 4 3 2 + q z[2] + z[2] + z[2] ) (q - z[2]) (q - z[2]) (-1 + z[1]) (z[2] - 1) / 3 3 / ((q z[3] - 1) (q z[1] z[3] - 1) (q z[2] z[3] - 1) (q z[1] z[3] - 1) / 6 5 2 4 (q z[1] z[3] - 1) (q z[1] z[3] - 1) (q z[1] z[3] - 1) (q z[1] z[3] - 1) 2 (q z[3] - 1) (q z[3] - 1)) and in Maple input notation: (q^18*z[1]^6*z[2]*z[3]^3-q^18*z[1]^5*z[2]^2*z[3]^3+q^17*z[1]^6*z[2]^2*z[3]^3+q^ 18*z[1]^5*z[2]*z[3]^3-q^18*z[1]^4*z[2]^2*z[3]^3+q^17*z[1]^4*z[2]^3*z[3]^3+q^16* z[1]^6*z[2]^2*z[3]^3-q^16*z[1]^5*z[2]^3*z[3]^3+q^18*z[1]^4*z[2]*z[3]^3-q^18*z[1 ]^3*z[2]^2*z[3]^3-q^17*z[1]^4*z[2]^2*z[3]^3+q^17*z[1]^3*z[2]^3*z[3]^3+q^16*z[1] ^5*z[2]^2*z[3]^3-q^15*z[1]^5*z[2]^3*z[3]^3+q^18*z[1]^3*z[2]*z[3]^3-q^18*z[1]^2* z[2]^2*z[3]^3-q^17*z[1]^3*z[2]^2*z[3]^3+q^17*z[1]^2*z[2]^3*z[3]^3-q^16*z[1]^6*z [2]*z[3]^2+q^16*z[1]^3*z[2]^3*z[3]^3-q^15*z[1]^3*z[2]^4*z[3]^3-q^14*z[1]^5*z[2] ^3*z[3]^3-q^13*z[1]^6*z[2]^3*z[3]^3+q^13*z[1]^5*z[2]^4*z[3]^3+q^18*z[1]^2*z[2]* z[3]^3-q^18*z[1]*z[2]^2*z[3]^3-q^17*z[1]^5*z[3]^2+q^17*z[1]^4*z[2]*z[3]^2-q^17* z[1]^2*z[2]^2*z[3]^3-2*q^16*z[1]^5*z[2]*z[3]^2-q^16*z[1]^3*z[2]^2*z[3]^3+q^16*z [1]^2*z[2]^3*z[3]^3-q^15*z[1]^6*z[2]*z[3]^2+q^15*z[1]^5*z[2]^2*z[3]^2+2*q^15*z[ 1]^3*z[2]^3*z[3]^3-q^14*z[1]^6*z[2]^2*z[3]^2-q^14*z[1]^4*z[2]^3*z[3]^3-q^14*z[1 ]^3*z[2]^4*z[3]^3-2*q^13*z[1]^5*z[2]^3*z[3]^3+q^13*z[1]^4*z[2]^4*z[3]^3+q^12*z[ 1]^5*z[2]^4*z[3]^3-q^11*z[1]^6*z[2]^4*z[3]^3+q^18*z[1]*z[2]*z[3]^3-q^17*z[1]^4* z[3]^2+q^17*z[1]^3*z[2]*z[3]^2-q^17*z[1]*z[2]^2*z[3]^3-q^16*z[1]^3*z[2]^2*z[3]^ 2-q^16*z[1]^2*z[2]^2*z[3]^3-3*q^15*z[1]^5*z[2]*z[3]^2+2*q^15*z[1]^4*z[2]^2*z[3] ^2-q^15*z[1]^3*z[2]^2*z[3]^3+3*q^15*z[1]^2*z[2]^3*z[3]^3+q^14*z[1]^3*z[2]^3*z[3 ]^3-q^14*z[1]^2*z[2]^4*z[3]^3-2*q^13*z[1]^4*z[2]^3*z[3]^3-q^13*z[1]^3*z[2]^4*z[ 3]^3-q^12*z[1]^5*z[2]^3*z[3]^3+2*q^12*z[1]^4*z[2]^4*z[3]^3+q^18*z[2]*z[3]^3-q^ 17*z[1]^3*z[3]^2+q^17*z[1]^2*z[2]*z[3]^2+q^16*z[1]^3*z[2]*z[3]^2-q^16*z[1]^2*z[ 2]^2*z[3]^2-q^16*z[1]*z[2]^2*z[3]^3-2*q^15*z[1]^4*z[2]*z[3]^2-2*q^15*z[1]^2*z[2 ]^2*z[3]^3+q^15*z[1]*z[2]^3*z[3]^3-q^14*z[1]^5*z[2]*z[3]^2+3*q^14*z[1]^4*z[2]^2 *z[3]^2+3*q^14*z[1]^2*z[2]^3*z[3]^3-q^13*z[1]^2*z[2]^4*z[3]^3+q^12*z[1]^6*z[2]^ 2*z[3]^2-q^12*z[1]^5*z[2]^3*z[3]^2-2*q^12*z[1]^4*z[2]^3*z[3]^3-q^12*z[1]^3*z[2] ^4*z[3]^3+q^11*z[1]^6*z[2]^3*z[3]^2+2*q^11*z[1]^4*z[2]^4*z[3]^3-q^17*z[1]^2*z[3 ]^2+q^17*z[1]*z[2]*z[3]^2+q^16*z[1]^2*z[2]*z[3]^2+q^15*z[1]^5*z[3]-q^15*z[1]^2* z[2]^2*z[3]^2-2*q^15*z[1]*z[2]^2*z[3]^3-q^14*z[1]^4*z[2]*z[3]^2-q^14*z[1]^2*z[2 ]^2*z[3]^3+2*q^14*z[1]*z[2]^3*z[3]^3+q^13*z[1]^6*z[2]*z[3]-q^13*z[1]^5*z[2]*z[3 ]^2+4*q^13*z[1]^4*z[2]^2*z[3]^2+3*q^13*z[1]^2*z[2]^3*z[3]^3+2*q^12*z[1]^5*z[2]^ 2*z[3]^2-2*q^12*z[1]^4*z[2]^3*z[3]^2-q^12*z[1]^3*z[2]^3*z[3]^3-2*q^12*z[1]^2*z[ 2]^4*z[3]^3-q^11*z[1]^4*z[2]^3*z[3]^3+2*q^10*z[1]^6*z[2]^3*z[3]^2+2*q^10*z[1]^4 *z[2]^4*z[3]^3-q^17*z[1]*z[3]^2+q^16*z[1]*z[2]*z[3]^2+q^15*z[1]^4*z[3]+q^15*z[1 ]^2*z[2]*z[3]^2-q^15*z[2]^2*z[3]^3+q^14*z[1]^5*z[3]-q^14*z[1]^4*z[2]*z[3]-3*q^ 14*z[1]^2*z[2]^2*z[3]^2-2*q^14*z[1]*z[2]^2*z[3]^3+2*q^13*z[1]^5*z[2]*z[3]-q^13* z[1]^4*z[2]*z[3]^2+3*q^13*z[1]^3*z[2]^2*z[3]^2+q^13*z[1]^2*z[2]^3*z[3]^2+2*q^13 *z[1]*z[2]^3*z[3]^3-q^12*z[1]^5*z[2]*z[3]^2+6*q^12*z[1]^4*z[2]^2*z[3]^2-2*q^12* z[1]^3*z[2]^3*z[3]^2+2*q^12*z[1]^2*z[2]^3*z[3]^3-3*q^11*z[1]^4*z[2]^3*z[3]^2-q^ 11*z[1]^3*z[2]^3*z[3]^3-2*q^11*z[1]^2*z[2]^4*z[3]^3+3*q^10*z[1]^5*z[2]^3*z[3]^2 +q^10*z[1]^3*z[2]^4*z[3]^3+q^9*z[1]^4*z[2]^4*z[3]^3-q^17*z[3]^2+q^15*z[1]*z[2]* z[3]^2+2*q^14*z[1]^4*z[3]-q^14*z[1]^3*z[2]*z[3]+2*q^14*z[1]^2*z[2]*z[3]^2-2*q^ 14*z[1]*z[2]^2*z[3]^2-q^14*z[2]^2*z[3]^3-q^13*z[1]^3*z[2]*z[3]^2-2*q^13*z[1]^2* z[2]^2*z[3]^2-q^13*z[1]*z[2]^2*z[3]^3+q^12*z[1]^5*z[2]*z[3]-q^12*z[1]^4*z[2]*z[ 3]^2+6*q^12*z[1]^3*z[2]^2*z[3]^2+2*q^12*z[1]*z[2]^3*z[3]^3+4*q^11*z[1]^4*z[2]^2 *z[3]^2-4*q^11*z[1]^3*z[2]^3*z[3]^2+q^11*z[1]^2*z[2]^4*z[3]^2+2*q^11*z[1]^2*z[2 ]^3*z[3]^3-q^11*z[1]*z[2]^4*z[3]^3-q^10*z[1]^6*z[2]^2*z[3]-q^10*z[1]^5*z[2]^2*z [3]^2-q^10*z[1]^4*z[2]^3*z[3]^2-q^10*z[1]^3*z[2]^3*z[3]^3-2*q^10*z[1]^2*z[2]^4* z[3]^3+2*q^9*z[1]^5*z[2]^3*z[3]^2+q^9*z[1]^3*z[2]^4*z[3]^3+q^8*z[1]^4*z[2]^4*z[ 3]^3-q^7*z[1]^6*z[2]^4*z[3]^2+q^14*z[1]^3*z[3]+3*q^14*z[1]*z[2]*z[3]^2+q^13*z[1 ]^4*z[3]-2*q^13*z[1]^3*z[2]*z[3]-3*q^13*z[1]*z[2]^2*z[3]^2-q^13*z[2]^2*z[3]^3-q ^12*z[1]^3*z[2]*z[3]^2+q^12*z[1]^2*z[2]^2*z[3]^2-q^12*z[1]*z[2]^3*z[3]^2+q^11*z [1]^4*z[2]^2*z[3]+6*q^11*z[1]^3*z[2]^2*z[3]^2+3*q^11*z[1]*z[2]^3*z[3]^3-2*q^10* z[1]^5*z[2]^2*z[3]+q^10*z[1]^4*z[2]^2*z[3]^2-5*q^10*z[1]^3*z[2]^3*z[3]^2+q^10*z [1]^2*z[2]^4*z[3]^2-q^10*z[1]*z[2]^4*z[3]^3-q^9*z[1]^6*z[2]^2*z[3]-q^9*z[1]^2*z [2]^4*z[3]^3+q^8*z[1]^5*z[2]^3*z[3]^2+q^8*z[1]^3*z[2]^4*z[3]^3-q^7*z[1]^5*z[2]^ 4*z[3]^2+2*q^14*z[2]*z[3]^2+q^13*z[1]^3*z[3]+2*q^13*z[1]*z[2]*z[3]^2-q^12*z[1]^ 5+q^12*z[1]^4*z[3]-4*q^12*z[1]^3*z[2]*z[3]-q^12*z[1]^2*z[2]*z[3]^2-2*q^12*z[1]* z[2]^2*z[3]^2+q^11*z[1]^3*z[2]^2*z[3]+2*q^11*z[1]^2*z[2]^2*z[3]^2-q^11*z[1]*z[2 ]^3*z[3]^2+q^11*z[2]^3*z[3]^3+q^10*z[1]^5*z[2]*z[3]+4*q^10*z[1]^3*z[2]^2*z[3]^2 -q^10*z[1]^2*z[2]^3*z[3]^2+2*q^10*z[1]*z[2]^3*z[3]^3-4*q^9*z[1]^5*z[2]^2*z[3]-6 *q^9*z[1]^3*z[2]^3*z[3]^2+2*q^9*z[1]^2*z[2]^4*z[3]^2-q^9*z[1]*z[2]^4*z[3]^3+q^8 *z[1]^4*z[2]^3*z[3]^2-q^8*z[1]^2*z[2]^4*z[3]^3+q^7*z[1]^5*z[2]^3*z[3]^2-q^7*z[1 ]^4*z[2]^4*z[3]^2+q^7*z[1]^3*z[2]^4*z[3]^3-q^6*z[1]^5*z[2]^4*z[3]^2+q^13*z[1]*z [2]*z[3]+2*q^13*z[2]*z[3]^2-q^12*z[1]^4+q^12*z[1]^3*z[3]-2*q^12*z[1]^2*z[2]*z[3 ]+q^12*z[2]^2*z[3]^2+q^11*z[1]^4*z[3]-5*q^11*z[1]^3*z[2]*z[3]+q^11*z[1]^2*z[2]^ 2*z[3]-2*q^11*z[1]*z[2]^2*z[3]^2+q^10*z[1]^4*z[2]*z[3]+2*q^10*z[1]^3*z[2]^2*z[3 ]+2*q^10*z[1]^2*z[2]^2*z[3]^2+q^10*z[2]^3*z[3]^3+q^9*z[1]^5*z[2]*z[3]-3*q^9*z[1 ]^4*z[2]^2*z[3]+2*q^9*z[1]^3*z[2]^2*z[3]^2-3*q^9*z[1]^2*z[2]^3*z[3]^2+q^9*z[1]* z[2]^4*z[3]^2+q^9*z[1]*z[2]^3*z[3]^3-2*q^8*z[1]^5*z[2]^2*z[3]-4*q^8*z[1]^3*z[2] ^3*z[3]^2+2*q^8*z[1]^2*z[2]^4*z[3]^2-q^8*z[1]*z[2]^4*z[3]^3+q^7*z[1]^4*z[2]^3*z [3]^2-q^7*z[1]^3*z[2]^4*z[3]^2+q^6*z[1]^6*z[2]^3*z[3]-q^6*z[1]^4*z[2]^4*z[3]^2- q^13*z[1]*z[3]+q^12*z[1]^2*z[3]+q^12*z[1]*z[2]*z[3]+q^12*z[2]*z[3]^2-q^11*z[1]^ 4+q^11*z[1]^3*z[3]-5*q^11*z[1]^2*z[2]*z[3]+q^11*z[1]*z[2]^2*z[3]-4*q^10*z[1]^3* z[2]*z[3]+2*q^10*z[1]^2*z[2]^2*z[3]-3*q^10*z[1]*z[2]^2*z[3]^2+q^9*z[1]^5*z[2]+3 *q^9*z[1]^4*z[2]*z[3]+q^9*z[1]^3*z[2]^2*z[3]+3*q^9*z[1]^2*z[2]^2*z[3]^2-q^9*z[1 ]*z[2]^3*z[3]^2+q^9*z[2]^3*z[3]^3-4*q^8*z[1]^4*z[2]^2*z[3]-4*q^8*z[1]^2*z[2]^3* z[3]^2+2*q^8*z[1]*z[2]^4*z[3]^2-q^7*z[1]^5*z[2]^2*z[3]-2*q^7*z[1]^3*z[2]^3*z[3] ^2+2*q^7*z[1]^2*z[2]^4*z[3]^2-q^7*z[1]*z[2]^4*z[3]^3+2*q^6*z[1]^5*z[2]^3*z[3]+q ^6*z[1]^4*z[2]^3*z[3]^2-q^6*z[1]^3*z[2]^4*z[3]^2-q^5*z[1]^4*z[2]^4*z[3]^2-q^13* z[3]+q^11*z[1]^2*z[3]-q^11*z[1]*z[2]*z[3]-q^10*z[1]^4-5*q^10*z[1]^2*z[2]*z[3]+q ^10*z[1]*z[2]^2*z[3]-2*q^10*z[2]^2*z[3]^2+q^9*z[1]^4*z[2]-q^9*z[1]^3*z[2]*z[3]+ 3*q^9*z[1]^2*z[2]^2*z[3]-q^9*z[1]*z[2]^2*z[3]^2-q^9*z[2]^3*z[3]^2+q^8*z[1]^5*z[ 2]+q^8*z[1]^4*z[2]*z[3]+q^8*z[1]^2*z[2]^2*z[3]^2-2*q^8*z[1]*z[2]^3*z[3]^2-3*q^7 *z[1]^4*z[2]^2*z[3]-2*q^7*z[1]^2*z[2]^3*z[3]^2+2*q^7*z[1]*z[2]^4*z[3]^2-q^6*z[1 ]^5*z[2]^2*z[3]+2*q^6*z[1]^4*z[2]^3*z[3]-q^6*z[1]^3*z[2]^3*z[3]^2+q^6*z[1]^2*z[ 2]^4*z[3]^2-q^6*z[1]*z[2]^4*z[3]^3+q^5*z[1]^5*z[2]^3*z[3]-q^5*z[1]^3*z[2]^4*z[3 ]^2-q^12*z[3]+q^11*z[1]^2+q^11*z[1]*z[3]-q^11*z[2]*z[3]-q^10*z[1]^3-q^10*z[1]*z [2]*z[3]-q^9*z[1]^4-4*q^9*z[1]^2*z[2]*z[3]+q^9*z[1]*z[2]^2*z[3]-2*q^9*z[2]^2*z[ 3]^2+2*q^8*z[1]^4*z[2]+5*q^8*z[1]^2*z[2]^2*z[3]-q^8*z[1]*z[2]^3*z[3]-2*q^8*z[2] ^3*z[3]^2+q^7*z[1]^4*z[2]*z[3]-2*q^7*z[1]^3*z[2]^2*z[3]-q^7*z[1]*z[2]^3*z[3]^2-\ 3*q^6*z[1]^4*z[2]^2*z[3]+2*q^6*z[1]^3*z[2]^3*z[3]-2*q^6*z[1]^2*z[2]^3*z[3]^2+2* q^6*z[1]*z[2]^4*z[3]^2-q^6*z[2]^4*z[3]^3+2*q^5*z[1]^4*z[2]^3*z[3]+q^5*z[1]^2*z[ 2]^4*z[3]^2-q^4*z[1]^3*z[2]^4*z[3]^2+q^10*z[1]^2-q^9*z[1]^3-q^9*z[1]*z[2]*z[3]- q^8*z[1]^4+q^8*z[1]^3*z[2]-3*q^8*z[1]^2*z[2]*z[3]+3*q^8*z[1]*z[2]^2*z[3]-q^8*z[ 2]^2*z[3]^2+2*q^7*z[1]^4*z[2]+q^7*z[1]^3*z[2]*z[3]+4*q^7*z[1]^2*z[2]^2*z[3]-2*q ^7*z[1]*z[2]^3*z[3]-q^7*z[2]^3*z[3]^2-3*q^6*z[1]^3*z[2]^2*z[3]+2*q^6*z[1]^2*z[2 ]^3*z[3]-q^6*z[1]*z[2]^4*z[3]-q^5*z[1]^5*z[2]^2-q^5*z[1]^4*z[2]^2*z[3]+2*q^5*z[ 1]^3*z[2]^3*z[3]-q^5*z[1]^2*z[2]^3*z[3]^2+2*q^5*z[1]*z[2]^4*z[3]^2+q^4*z[1]^4*z [2]^3*z[3]+q^10*z[1]+q^9*z[1]^2+q^9*z[2]*z[3]-2*q^8*z[1]^3-2*q^8*z[1]*z[2]*z[3] +2*q^8*z[2]^2*z[3]+2*q^7*z[1]^3*z[2]+4*q^7*z[1]*z[2]^2*z[3]+q^6*z[1]^4*z[2]+q^6 *z[1]^2*z[2]^2*z[3]-q^6*z[1]*z[2]^3*z[3]-q^5*z[1]^4*z[2]^2-2*q^5*z[1]^3*z[2]^2* z[3]+2*q^5*z[1]^2*z[2]^3*z[3]-q^5*z[1]*z[2]^4*z[3]+q^5*z[2]^4*z[3]^2+2*q^4*z[1] ^3*z[2]^3*z[3]+2*q^4*z[1]*z[2]^4*z[3]^2+q^9*z[1]+q^8*z[2]*z[3]-q^7*z[1]^3-q^7*z [1]*z[2]*z[3]+3*q^7*z[2]^2*z[3]+2*q^6*z[1]^3*z[2]+2*q^6*z[1]*z[2]^2*z[3]+q^6*z[ 2]^3*z[3]+q^5*z[1]^4*z[2]-q^5*z[1]^3*z[2]^2+q^5*z[1]^2*z[2]^2*z[3]-q^5*z[1]*z[2 ]^3*z[3]+q^5*z[2]^3*z[3]^2-q^4*z[1]^4*z[2]^2-q^4*z[1]^3*z[2]^2*z[3]+2*q^4*z[1]^ 2*z[2]^3*z[3]-q^4*z[1]*z[2]^4*z[3]+q^4*z[2]^4*z[3]^2+q^3*z[1]^3*z[2]^3*z[3]+q^3 *z[1]*z[2]^4*z[3]^2+q^8*z[1]-q^7*z[1]*z[2]-q^6*z[1]^3+q^6*z[1]^2*z[2]+2*q^6*z[2 ]^2*z[3]+2*q^5*z[1]^3*z[2]-q^5*z[1]^2*z[2]^2+q^5*z[1]*z[2]^2*z[3]-q^4*z[1]^3*z[ 2]^2-q^4*z[1]*z[2]^3*z[3]+2*q^3*z[1]^2*z[2]^3*z[3]-q^3*z[1]*z[2]^4*z[3]+q^3*z[2 ]^4*z[3]^2+q^7*z[1]-q^7*z[2]-q^6*z[1]^2-q^6*z[1]*z[2]+2*q^5*z[1]^2*z[2]-q^5*z[1 ]*z[2]^2+q^4*z[1]^3*z[2]-q^4*z[1]^2*z[2]^2+q^4*z[1]*z[2]^2*z[3]-q^4*z[2]^3*z[3] -q^3*z[1]^3*z[2]^2-q^3*z[1]*z[2]^3*z[3]-q^3*z[2]^4*z[3]+q^2*z[1]^2*z[2]^3*z[3]- q^2*z[1]*z[2]^4*z[3]-q^6*z[2]-q^5*z[2]^2+q^4*z[1]^2*z[2]-q^4*z[1]*z[2]^2-q^3*z[ 1]^2*z[2]^2-2*q^3*z[2]^3*z[3]-q^2*z[2]^4*z[3]-q*z[1]*z[2]^4*z[3]-q^5*z[2]+q^3*z [1]^2*z[2]-q^3*z[1]*z[2]^2-q^2*z[1]^2*z[2]^2-q^2*z[2]^3*z[3]-q*z[2]^4*z[3]-q^2* z[1]*z[2]^2+q^2*z[2]^3+q^2*z[2]^2-q*z[1]*z[2]^2+q*z[2]^3+z[2]^4+z[2]^3)*(q^2-z[ 2])*(q-z[2])*(-1+z[1])*(z[2]-1)/(q^3*z[3]-1)/(q*z[1]*z[3]-1)/(q*z[2]*z[3]-1)/(q ^3*z[1]*z[3]-1)/(q^6*z[1]*z[3]-1)/(q^5*z[1]*z[3]-1)/(q^2*z[1]*z[3]-1)/(q^4*z[1] *z[3]-1)/(q*z[3]-1)/(q^2*z[3]-1) 2 5 x[1] x[2] For the coeff., ----------- 7 x[3] we have: 2 14 5 2 3 14 4 3 3 (q - z[2]) (q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 6 2 3 13 5 3 3 14 4 2 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 3 3 3 13 6 3 13 3 4 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 6 2 3 12 5 3 3 12 4 4 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 6 3 3 14 3 2 3 14 2 3 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 3 3 3 13 2 4 3 12 4 3 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 6 2 3 11 5 3 3 11 4 4 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 2 2 3 14 3 3 13 2 3 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 2 4 3 11 4 3 3 10 5 3 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 4 4 3 8 6 4 3 14 2 3 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 4 2 13 3 2 2 13 3 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 5 2 12 4 2 2 12 2 3 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 6 2 11 5 2 2 11 2 4 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 10 6 2 2 10 4 3 3 10 3 4 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 5 3 3 9 4 4 3 8 5 4 3 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 2 3 13 3 2 13 2 2 2 + q z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 5 2 12 4 2 12 3 2 2 + q z[1] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 2 3 2 12 3 3 11 5 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 11 4 2 2 11 3 3 2 11 2 3 3 - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 4 3 10 6 2 10 5 2 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 3 3 3 10 2 4 3 9 6 2 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 4 3 3 9 3 4 3 8 4 4 3 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 5 4 3 13 2 2 13 2 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 3 2 12 2 2 2 11 3 2 2 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 2 3 2 11 3 3 10 5 2 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 10 4 2 2 10 3 3 2 - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 10 2 4 2 10 4 3 9 5 2 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 3 4 2 9 3 3 3 9 2 4 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 3 4 3 7 6 3 2 13 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 2 2 12 2 2 11 2 2 2 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 3 3 10 3 2 2 10 2 3 2 - q z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 3 3 9 5 2 9 4 2 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 9 3 3 2 9 2 4 2 9 2 3 3 + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 4 3 8 5 2 2 8 3 4 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 5 3 2 7 3 4 3 6 6 3 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 2 12 2 11 2 2 - q z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 10 5 10 4 10 2 2 2 - q z[1] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 3 2 10 3 3 9 5 - q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 9 3 2 2 9 4 2 8 6 - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 5 2 8 4 2 2 8 3 3 2 + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 8 2 4 2 8 4 3 7 5 2 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 4 3 2 7 3 4 2 6 5 3 2 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 6 3 4 3 12 2 11 3 - q z[1] z[2] z[3] - q z[2] z[3] + q z[1] z[3] 11 2 10 4 10 3 - q z[1] z[2] z[3] - q z[1] z[3] + 2 q z[1] z[2] z[3] 10 2 2 9 5 9 4 + 3 q z[1] z[2] z[3] - q z[1] z[3] + q z[1] z[2] z[3] 9 2 2 2 9 3 2 8 5 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 8 3 2 2 8 2 3 2 8 4 2 - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 7 4 2 2 7 3 3 2 7 4 3 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 5 2 2 6 4 3 2 6 3 4 2 + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 6 2 4 3 5 5 3 2 11 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[3] 11 10 2 2 9 4 - q z[1] z[2] z[3] + 2 q z[2] z[3] - q z[1] z[3] 9 3 9 2 2 9 2 2 + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 9 3 2 8 4 8 2 2 2 + q z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 8 3 2 7 5 7 3 2 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 2 3 2 7 4 2 7 4 3 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[2] z[3] 6 5 2 6 3 3 2 5 6 2 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 4 3 2 5 3 4 2 11 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[3] 10 9 2 9 2 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[2] z[3] 8 4 8 3 8 2 2 - q z[1] z[3] + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 8 3 8 3 2 7 4 + q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 7 2 3 7 2 2 2 7 3 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 5 6 4 2 6 2 3 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 6 4 2 5 5 2 5 3 3 2 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 2 4 2 4 4 3 2 4 3 4 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 9 8 2 8 2 2 + q z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[2] z[3] 7 5 7 4 7 3 7 2 2 + q z[1] - q z[1] z[3] + 4 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 7 3 6 4 6 3 2 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 2 3 6 4 6 3 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 4 2 5 5 5 4 2 - q z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 5 2 4 5 2 3 2 5 4 2 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 4 5 2 4 2 4 2 3 3 4 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 8 3 8 8 2 7 4 - q z[2] z[3] - q z[1] - q z[1] z[2] z[3] - q z[2] z[3] + q z[1] 7 2 7 2 6 3 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 6 2 2 6 3 6 3 2 - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[2] z[3] 5 4 5 3 2 5 2 3 - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 5 4 5 4 2 4 4 2 + q z[1] z[2] z[3] - q z[2] z[3] + 2 q z[1] z[2] z[3] 4 2 4 4 2 3 2 4 4 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 3 2 4 2 8 2 8 7 + q z[1] z[2] z[3] - q z[1] - 2 q z[2] z[3] + q z[1] z[2] z[3] 7 2 6 4 6 2 6 2 - 2 q z[2] z[3] + q z[1] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 5 2 2 5 3 5 3 2 - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[2] z[3] 4 5 4 4 4 3 2 - q z[1] z[2] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 4 2 3 4 4 4 4 2 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 3 4 2 3 2 4 7 2 7 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] - q z[2] z[3] 6 6 2 5 4 5 2 + q z[1] z[2] z[3] - q z[2] z[3] + q z[1] - q z[1] z[2] z[3] 5 3 4 4 4 2 2 + q z[2] z[3] - q z[1] z[2] - 2 q z[1] z[2] z[3] 4 3 4 4 3 3 2 + q z[1] z[2] z[3] + q z[2] z[3] + 2 q z[1] z[2] z[3] 3 2 3 2 2 4 6 2 6 - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] + q z[1] z[2] 5 3 4 4 4 3 4 2 + q z[1] + q z[1] - q z[1] z[2] - q z[1] z[2] z[3] 4 3 3 4 3 2 2 3 4 + 2 q z[2] z[3] - q z[1] z[2] - q z[1] z[2] z[3] + q z[2] z[3] 2 3 2 2 2 3 2 4 7 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q 6 6 5 2 5 4 3 4 2 - q z[1] + q z[2] - q z[1] + q z[1] z[2] + q z[1] - q z[1] z[2] 4 2 4 2 3 3 3 2 + q z[1] z[2] + q z[2] z[3] - q z[1] z[2] - q z[1] z[2] z[3] 3 3 2 4 2 3 5 5 + 2 q z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] - q z[1] + q z[2] 4 3 3 3 2 3 2 3 3 + q z[1] z[2] + q z[1] - q z[1] z[2] + q z[1] z[2] - q z[2] 2 3 2 3 2 3 3 3 2 - q z[1] z[2] + q z[1] z[2] + q z[2] z[3] + q z[1] z[2] - q z[2] 2 2 2 2 2 3 3 4 - q z[1] z[2] + 2 q z[1] z[2] - q z[2] + q z[1] z[2] - q z[2] 4 2 2 2 2 2 + z[1] z[2] + q z[1] z[2] - q z[2] - q z[1] z[2] + q z[1] z[2] 3 3 2 2 3 - q z[2] + z[1] z[2] - q z[2] + z[1] z[2] - z[2] ) (q - z[2]) / 2 3 2 (-1 + z[1]) (z[2] - 1) / ((q z[2] z[3] - 1) (q z[3] - 1) (q z[3] - 1) / 5 4 2 (q z[1] z[3] - 1) (q z[2] z[3] - 1) (q z[1] z[3] - 1) (q z[1] z[3] - 1) 3 (q z[1] z[3] - 1) (q z[1] z[3] - 1) (q z[3] - 1)) and in Maple input notation: (q^2-z[2])*(q^14*z[1]^5*z[2]^2*z[3]^3-q^14*z[1]^4*z[2]^3*z[3]^3-q^13*z[1]^6*z[2 ]^2*z[3]^3+q^13*z[1]^5*z[2]^3*z[3]^3+q^14*z[1]^4*z[2]^2*z[3]^3-q^14*z[1]^3*z[2] ^3*z[3]^3-q^13*z[1]^6*z[2]*z[3]^3+q^13*z[1]^3*z[2]^4*z[3]^3-q^12*z[1]^6*z[2]^2* z[3]^3+2*q^12*z[1]^5*z[2]^3*z[3]^3-q^12*z[1]^4*z[2]^4*z[3]^3-q^11*z[1]^6*z[2]^3 *z[3]^3+q^14*z[1]^3*z[2]^2*z[3]^3-q^14*z[1]^2*z[2]^3*z[3]^3-q^13*z[1]^3*z[2]^3* z[3]^3+q^13*z[1]^2*z[2]^4*z[3]^3+q^12*z[1]^4*z[2]^3*z[3]^3-q^11*z[1]^6*z[2]^2*z [3]^3+q^11*z[1]^5*z[2]^3*z[3]^3-q^11*z[1]^4*z[2]^4*z[3]^3+q^14*z[1]^2*z[2]^2*z[ 3]^3-q^14*z[1]*z[2]^3*z[3]^3-q^13*z[1]^2*z[2]^3*z[3]^3+q^12*z[1]^2*z[2]^4*z[3]^ 3+q^11*z[1]^4*z[2]^3*z[3]^3+q^10*z[1]^5*z[2]^3*z[3]^3-2*q^10*z[1]^4*z[2]^4*z[3] ^3+q^8*z[1]^6*z[2]^4*z[3]^3+q^14*z[1]*z[2]^2*z[3]^3-q^13*z[1]^4*z[2]*z[3]^2+q^ 13*z[1]^3*z[2]^2*z[3]^2-q^13*z[1]*z[2]^3*z[3]^3+q^12*z[1]^5*z[2]*z[3]^2-q^12*z[ 1]^4*z[2]^2*z[3]^2-q^12*z[1]^2*z[2]^3*z[3]^3+q^11*z[1]^6*z[2]*z[3]^2-q^11*z[1]^ 5*z[2]^2*z[3]^2+2*q^11*z[1]^2*z[2]^4*z[3]^3+q^10*z[1]^6*z[2]^2*z[3]^2+q^10*z[1] ^4*z[2]^3*z[3]^3-q^10*z[1]^3*z[2]^4*z[3]^3+q^9*z[1]^5*z[2]^3*z[3]^3-2*q^9*z[1]^ 4*z[2]^4*z[3]^3+q^8*z[1]^5*z[2]^4*z[3]^3+q^14*z[2]^2*z[3]^3-q^13*z[1]^3*z[2]*z[ 3]^2+q^13*z[1]^2*z[2]^2*z[3]^2+q^12*z[1]^5*z[3]^2-q^12*z[1]^4*z[2]*z[3]^2+q^12* z[1]^3*z[2]^2*z[3]^2-q^12*z[1]^2*z[2]^3*z[3]^2-q^12*z[1]*z[2]^3*z[3]^3+2*q^11*z [1]^5*z[2]*z[3]^2-4*q^11*z[1]^4*z[2]^2*z[3]^2+q^11*z[1]^3*z[2]^3*z[3]^2-q^11*z[ 1]^2*z[2]^3*z[3]^3+q^11*z[1]*z[2]^4*z[3]^3+q^10*z[1]^6*z[2]*z[3]^2+q^10*z[1]^5* z[2]^2*z[3]^2+q^10*z[1]^3*z[2]^3*z[3]^3+q^10*z[1]^2*z[2]^4*z[3]^3+q^9*z[1]^6*z[ 2]^2*z[3]^2+q^9*z[1]^4*z[2]^3*z[3]^3-2*q^9*z[1]^3*z[2]^4*z[3]^3-q^8*z[1]^4*z[2] ^4*z[3]^3+q^7*z[1]^5*z[2]^4*z[3]^3-q^13*z[1]^2*z[2]*z[3]^2+q^13*z[1]*z[2]^2*z[3 ]^2-q^12*z[1]^3*z[2]*z[3]^2+2*q^12*z[1]^2*z[2]^2*z[3]^2-q^11*z[1]^3*z[2]^2*z[3] ^2-q^11*z[1]^2*z[2]^3*z[3]^2-2*q^11*z[1]*z[2]^3*z[3]^3+2*q^10*z[1]^5*z[2]*z[3]^ 2-4*q^10*z[1]^4*z[2]^2*z[3]^2+2*q^10*z[1]^3*z[2]^3*z[3]^2-q^10*z[1]^2*z[2]^4*z[ 3]^2+q^10*z[1]*z[2]^4*z[3]^3+q^9*z[1]^5*z[2]^2*z[3]^2+q^9*z[1]^3*z[2]^4*z[3]^2+ q^9*z[1]^3*z[2]^3*z[3]^3+q^9*z[1]^2*z[2]^4*z[3]^3-2*q^8*z[1]^3*z[2]^4*z[3]^3-q^ 7*z[1]^6*z[2]^3*z[3]^2-q^13*z[1]*z[2]*z[3]^2-q^12*z[1]^2*z[2]*z[3]^2+2*q^12*z[1 ]*z[2]^2*z[3]^2+q^11*z[1]^2*z[2]^2*z[3]^2-q^11*z[2]^3*z[3]^3-2*q^10*z[1]^3*z[2] ^2*z[3]^2-q^10*z[1]^2*z[2]^3*z[3]^2-q^10*z[1]*z[2]^3*z[3]^3+q^9*z[1]^5*z[2]*z[3 ]^2-4*q^9*z[1]^4*z[2]^2*z[3]^2+4*q^9*z[1]^3*z[2]^3*z[3]^2-q^9*z[1]^2*z[2]^4*z[3 ]^2+q^9*z[1]^2*z[2]^3*z[3]^3+q^9*z[1]*z[2]^4*z[3]^3+q^8*z[1]^5*z[2]^2*z[3]^2+q^ 8*z[1]^3*z[2]^4*z[3]^2-2*q^7*z[1]^5*z[2]^3*z[3]^2-q^7*z[1]^3*z[2]^4*z[3]^3-q^6* z[1]^6*z[2]^3*z[3]^2-q^13*z[2]*z[3]^2-q^12*z[1]*z[2]*z[3]^2+2*q^11*z[1]*z[2]^2* z[3]^2-q^10*z[1]^5*z[3]+q^10*z[1]^4*z[2]*z[3]+q^10*z[1]^2*z[2]^2*z[3]^2-q^10*z[ 1]*z[2]^3*z[3]^2-q^10*z[2]^3*z[3]^3-q^9*z[1]^5*z[2]*z[3]-3*q^9*z[1]^3*z[2]^2*z[ 3]^2-q^9*z[1]*z[2]^4*z[3]^2-q^8*z[1]^6*z[2]*z[3]+q^8*z[1]^5*z[2]*z[3]^2-3*q^8*z [1]^4*z[2]^2*z[3]^2+5*q^8*z[1]^3*z[2]^3*z[3]^2-q^8*z[1]^2*z[2]^4*z[3]^2+q^8*z[1 ]*z[2]^4*z[3]^3+q^7*z[1]^5*z[2]^2*z[3]^2-2*q^7*z[1]^4*z[2]^3*z[3]^2+2*q^7*z[1]^ 3*z[2]^4*z[3]^2-2*q^6*z[1]^5*z[2]^3*z[3]^2-q^6*z[1]^3*z[2]^4*z[3]^3-q^12*z[2]*z [3]^2+q^11*z[1]^3*z[3]-q^11*z[1]^2*z[2]*z[3]-q^10*z[1]^4*z[3]+2*q^10*z[1]^3*z[2 ]*z[3]+3*q^10*z[1]*z[2]^2*z[3]^2-q^9*z[1]^5*z[3]+q^9*z[1]^4*z[2]*z[3]-q^9*z[1]^ 2*z[2]^2*z[3]^2-q^9*z[1]*z[2]^3*z[3]^2-2*q^8*z[1]^5*z[2]*z[3]-3*q^8*z[1]^3*z[2] ^2*z[3]^2+2*q^8*z[1]^2*z[2]^3*z[3]^2-2*q^8*z[1]*z[2]^4*z[3]^2-q^7*z[1]^4*z[2]^2 *z[3]^2+4*q^7*z[1]^3*z[2]^3*z[3]^2+q^7*z[1]*z[2]^4*z[3]^3+q^6*z[1]^5*z[2]^2*z[3 ]^2-3*q^6*z[1]^4*z[2]^3*z[3]^2+2*q^6*z[1]^3*z[2]^4*z[3]^2-q^6*z[1]^2*z[2]^4*z[3 ]^3-q^5*z[1]^5*z[2]^3*z[3]^2+q^11*z[1]^2*z[3]-q^11*z[1]*z[2]*z[3]+2*q^10*z[2]^2 *z[3]^2-q^9*z[1]^4*z[3]+4*q^9*z[1]^3*z[2]*z[3]-q^9*z[1]^2*z[2]^2*z[3]+2*q^9*z[1 ]*z[2]^2*z[3]^2+q^9*z[2]^3*z[3]^2-q^8*z[1]^4*z[2]*z[3]-2*q^8*z[1]^2*z[2]^2*z[3] ^2-q^8*z[1]*z[2]^3*z[3]^2-q^7*z[1]^5*z[2]*z[3]-q^7*z[1]^3*z[2]^2*z[3]^2+2*q^7*z [1]^2*z[2]^3*z[3]^2-2*q^7*z[1]*z[2]^4*z[3]^2+q^7*z[2]^4*z[3]^3+q^6*z[1]^5*z[2]^ 2*z[3]+2*q^6*z[1]^3*z[2]^3*z[3]^2+q^5*z[1]^6*z[2]^2*z[3]-2*q^5*z[1]^4*z[2]^3*z[ 3]^2+2*q^5*z[1]^3*z[2]^4*z[3]^2+q^11*z[1]*z[3]-q^10*z[1]*z[2]*z[3]+q^9*z[1]^2*z [2]*z[3]+2*q^9*z[2]^2*z[3]^2-q^8*z[1]^4*z[3]+4*q^8*z[1]^3*z[2]*z[3]-2*q^8*z[1]^ 2*z[2]^2*z[3]+q^8*z[1]*z[2]^3*z[3]+q^8*z[2]^3*z[3]^2-q^7*z[1]^4*z[2]*z[3]-q^7*z [1]^2*z[2]^3*z[3]-q^7*z[1]^2*z[2]^2*z[3]^2-q^7*z[1]*z[2]^3*z[3]^2-q^6*z[1]^5*z[ 2]*z[3]+q^6*z[1]^4*z[2]^2*z[3]+2*q^6*z[1]^2*z[2]^3*z[3]^2-2*q^6*z[1]*z[2]^4*z[3 ]^2+2*q^5*z[1]^5*z[2]^2*z[3]+q^5*z[1]^3*z[2]^3*z[3]^2+q^5*z[1]^2*z[2]^4*z[3]^2- q^4*z[1]^4*z[2]^3*z[3]^2+q^4*z[1]^3*z[2]^4*z[3]^2+q^11*z[3]-q^9*z[1]*z[2]*z[3]+ 2*q^8*z[1]^2*z[2]*z[3]+q^8*z[2]^2*z[3]^2+q^7*z[1]^5-q^7*z[1]^4*z[3]+4*q^7*z[1]^ 3*z[2]*z[3]-4*q^7*z[1]^2*z[2]^2*z[3]+2*q^7*z[1]*z[2]^3*z[3]-2*q^6*z[1]^4*z[2]*z [3]+q^6*z[1]^3*z[2]^2*z[3]-2*q^6*z[1]^2*z[2]^3*z[3]+q^6*z[1]*z[2]^4*z[3]-q^6*z[ 1]*z[2]^3*z[3]^2-q^6*z[2]^4*z[3]^2-q^5*z[1]^5*z[2]*z[3]+3*q^5*z[1]^4*z[2]^2*z[3 ]-q^5*z[1]^2*z[2]^4*z[3]+2*q^5*z[1]^2*z[2]^3*z[3]^2-q^5*z[1]*z[2]^4*z[3]^2+q^4* z[1]^5*z[2]^2*z[3]+q^4*z[1]^2*z[2]^4*z[3]^2+q^3*z[1]^3*z[2]^4*z[3]^2-q^9*z[2]*z [3]-q^8*z[1]^3-q^8*z[1]*z[2]*z[3]-q^8*z[2]^2*z[3]+q^7*z[1]^4+3*q^7*z[1]^2*z[2]* z[3]-q^7*z[1]*z[2]^2*z[3]+2*q^6*z[1]^3*z[2]*z[3]-4*q^6*z[1]^2*z[2]^2*z[3]+2*q^6 *z[1]*z[2]^3*z[3]-q^6*z[2]^3*z[3]^2-2*q^5*z[1]^4*z[2]*z[3]+3*q^5*z[1]^3*z[2]^2* z[3]-3*q^5*z[1]^2*z[2]^3*z[3]+q^5*z[1]*z[2]^4*z[3]-q^5*z[2]^4*z[3]^2+2*q^4*z[1] ^4*z[2]^2*z[3]-q^4*z[1]^2*z[2]^4*z[3]+q^4*z[1]^2*z[2]^3*z[3]^2-q^4*z[1]*z[2]^4* z[3]^2+q^3*z[1]^2*z[2]^4*z[3]^2-q^8*z[1]^2-2*q^8*z[2]*z[3]+q^7*z[1]*z[2]*z[3]-2 *q^7*z[2]^2*z[3]+q^6*z[1]^4+2*q^6*z[1]^2*z[2]*z[3]-q^6*z[1]*z[2]^2*z[3]-3*q^5*z [1]^2*z[2]^2*z[3]+2*q^5*z[1]*z[2]^3*z[3]-q^5*z[2]^3*z[3]^2-q^4*z[1]^5*z[2]-q^4* z[1]^4*z[2]*z[3]+3*q^4*z[1]^3*z[2]^2*z[3]-3*q^4*z[1]^2*z[2]^3*z[3]+q^4*z[1]*z[2 ]^4*z[3]-q^4*z[2]^4*z[3]^2+q^3*z[1]^4*z[2]^2*z[3]-q^3*z[1]^2*z[2]^4*z[3]-q^7*z[ 1]^2-q^7*z[2]*z[3]+q^6*z[1]*z[2]*z[3]-q^6*z[2]^2*z[3]+q^5*z[1]^4-q^5*z[1]*z[2]^ 2*z[3]+q^5*z[2]^3*z[3]-q^4*z[1]^4*z[2]-2*q^4*z[1]^2*z[2]^2*z[3]+q^4*z[1]*z[2]^3 *z[3]+q^4*z[2]^4*z[3]+2*q^3*z[1]^3*z[2]^2*z[3]-3*q^3*z[1]^2*z[2]^3*z[3]-q^2*z[1 ]^2*z[2]^4*z[3]-2*q^6*z[1]^2+q^6*z[1]*z[2]+q^5*z[1]^3+q^4*z[1]^4-q^4*z[1]^3*z[2 ]-q^4*z[1]*z[2]^2*z[3]+2*q^4*z[2]^3*z[3]-q^3*z[1]^4*z[2]-q^3*z[1]^2*z[2]^2*z[3] +q^3*z[2]^4*z[3]+q^2*z[1]^3*z[2]^2*z[3]-2*q^2*z[1]^2*z[2]^3*z[3]-q*z[1]^2*z[2]^ 4*z[3]+q^7-q^6*z[1]+q^6*z[2]-q^5*z[1]^2+q^5*z[1]*z[2]+q^4*z[1]^3-q^4*z[1]^2*z[2 ]+q^4*z[1]*z[2]^2+q^4*z[2]^2*z[3]-q^3*z[1]^3*z[2]-q^3*z[1]*z[2]^2*z[3]+2*q^3*z[ 2]^3*z[3]+q^2*z[2]^4*z[3]-q*z[1]^2*z[2]^3*z[3]-q^5*z[1]+q^5*z[2]+q^4*z[1]*z[2]+ q^3*z[1]^3-q^3*z[1]^2*z[2]+q^3*z[1]*z[2]^2-q^3*z[2]^3-q^2*z[1]^3*z[2]+q^2*z[1]* z[2]^3+q^2*z[2]^3*z[3]+q^3*z[1]*z[2]-q^3*z[2]^2-q^2*z[1]^2*z[2]+2*q^2*z[1]*z[2] ^2-q^2*z[2]^3+q*z[1]*z[2]^3-q*z[2]^4+z[1]*z[2]^4+q^2*z[1]*z[2]-q^2*z[2]^2-q*z[1 ]^2*z[2]+q*z[1]*z[2]^2-q*z[2]^3+z[1]*z[2]^3-q*z[2]^2+z[1]*z[2]^2-z[2]^3)*(q-z[2 ])*(-1+z[1])*(z[2]-1)/(q^2*z[2]*z[3]-1)/(q^3*z[3]-1)/(q^2*z[3]-1)/(q^5*z[1]*z[3 ]-1)/(q*z[2]*z[3]-1)/(q^4*z[1]*z[3]-1)/(q^2*z[1]*z[3]-1)/(q^3*z[1]*z[3]-1)/(q*z [1]*z[3]-1)/(q*z[3]-1) 3 4 x[1] x[2] For the coeff., ----------- 7 x[3] we have: 13 4 3 3 13 3 4 3 (q - z[2]) (-z[1] + q) (q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 3 3 3 13 2 4 3 12 5 2 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 4 3 3 12 3 4 3 12 2 5 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 5 3 3 11 3 5 3 13 2 3 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 4 3 12 3 3 3 12 2 4 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 5 2 3 11 4 3 3 11 3 4 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 2 5 3 9 5 4 3 9 4 5 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 3 3 12 2 3 3 12 4 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 5 3 11 3 3 3 11 2 4 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 5 3 10 5 2 3 10 4 3 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 3 4 3 10 2 5 3 9 4 4 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 5 4 3 8 4 5 3 13 3 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] z[3] 12 3 2 2 12 2 3 2 12 3 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 2 3 3 11 4 3 10 3 3 3 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 2 4 3 10 5 3 9 4 3 3 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 2 5 3 8 5 3 3 8 4 4 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 3 5 3 7 5 4 3 7 4 5 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 2 2 2 12 3 2 11 4 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 3 2 2 11 2 3 2 11 4 3 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[2] z[3] 10 4 2 2 10 4 3 9 5 2 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 2 5 2 9 2 4 3 9 5 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 2 5 3 7 3 5 3 6 4 5 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 2 2 11 2 2 2 11 3 2 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 10 4 2 10 3 2 2 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 10 2 3 2 10 4 3 9 5 2 + 3 q z[1] z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] 9 4 2 2 9 3 3 2 9 5 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 4 3 8 5 2 2 8 4 3 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 8 3 4 2 8 2 5 2 8 5 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 5 3 2 7 3 5 2 6 3 5 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 2 2 11 2 2 10 4 2 - q z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[3] 10 2 2 2 10 3 2 9 4 2 - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 9 3 2 2 9 2 3 2 8 5 2 - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 4 2 2 8 3 3 2 8 5 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 8 5 3 7 4 3 2 7 3 4 2 + q z[2] z[3] - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 7 2 5 2 7 5 3 6 5 3 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 3 5 2 11 2 2 10 2 2 + q z[1] z[2] z[3] - q z[2] z[3] - 2 q z[1] z[2] z[3] 10 3 2 9 2 2 2 9 3 2 + q z[2] z[3] - 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 9 4 2 8 4 2 8 3 2 2 + q z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 8 2 3 2 7 3 3 2 7 2 4 2 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 5 2 6 4 3 2 6 3 4 2 - 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 5 5 3 2 5 3 5 2 10 2 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 2 10 2 2 9 3 - q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 9 2 2 9 3 2 8 4 - q z[1] z[2] z[3] + 2 q z[2] z[3] - q z[1] z[2] z[3] 8 2 2 2 8 3 2 8 4 2 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] + q z[2] z[3] 7 4 2 7 3 2 2 7 2 3 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 4 2 7 5 2 6 3 3 2 - q z[1] z[2] z[3] - q z[2] z[3] - 2 q z[1] z[2] z[3] 6 2 4 2 6 5 2 5 4 3 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 5 3 4 2 4 3 5 2 10 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 3 9 2 9 2 - q z[1] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 4 8 3 8 2 2 - q z[1] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 3 8 3 2 7 4 - q z[1] z[2] z[3] + 2 q z[2] z[3] - 2 q z[1] z[2] z[3] 7 3 2 7 4 7 3 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 6 5 6 4 2 6 5 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 4 2 6 5 2 5 3 3 2 - q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 5 2 4 2 5 5 2 4 4 3 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 4 3 4 2 4 2 5 2 3 3 5 2 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 9 8 3 + q z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[3] 8 2 8 2 8 3 + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[2] z[3] 7 4 7 3 7 2 2 - q z[1] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 7 3 7 3 2 6 4 - 2 q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 6 3 2 6 2 3 6 4 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 3 2 6 4 2 5 4 2 + q z[1] z[2] z[3] - q z[2] z[3] + 2 q z[1] z[2] z[3] 5 2 4 5 5 5 4 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 5 5 2 4 5 2 4 2 5 - q z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 4 2 4 2 4 5 2 3 3 4 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 8 8 2 7 3 + q z[2] z[3] + 2 q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[3] 7 2 7 2 7 3 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - 2 q z[2] z[3] 6 3 6 2 2 6 3 - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 5 4 5 3 2 5 2 3 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 5 4 5 5 5 4 2 + 2 q z[1] z[2] z[3] + q z[2] z[3] - q z[2] z[3] 4 4 2 4 2 4 4 5 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 4 4 2 3 2 5 8 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] z[3] 7 7 2 6 3 6 2 + q z[1] z[2] z[3] - 2 q z[2] z[3] - q z[1] z[3] + q z[1] z[2] z[3] 6 2 6 3 5 3 - 2 q z[1] z[2] z[3] - 2 q z[2] z[3] - q z[1] z[2] z[3] 5 2 2 5 3 5 4 + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[2] z[3] 4 4 4 3 2 4 2 3 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 4 4 4 5 3 4 2 + 2 q z[1] z[2] z[3] + q z[2] z[3] + q z[1] z[2] z[3] 3 2 4 2 2 5 6 3 6 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] - 2 q z[2] z[3] 5 4 5 2 5 3 4 3 + q z[1] - q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 4 2 2 4 3 4 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[2] z[3] 3 3 2 3 2 3 3 4 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 3 5 2 2 4 2 5 7 + q z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] 6 6 2 5 3 5 2 5 3 - q z[1] z[2] + q z[2] + q z[1] - q z[1] z[2] + q z[2] 5 2 4 3 3 4 3 2 2 - q z[2] z[3] - q z[1] z[2] - q z[1] z[2] + q z[1] z[2] z[3] 3 3 3 4 2 3 2 - q z[1] z[2] z[3] + 2 q z[2] z[3] + q z[1] z[2] z[3] 2 2 3 2 4 2 4 7 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q 6 5 2 5 5 2 4 3 4 2 - q z[1] + q z[1] - q z[1] z[2] + q z[2] + q z[1] - q z[1] z[2] 3 3 3 4 3 3 2 5 2 4 - q z[1] z[2] - q z[2] + q z[2] z[3] - q z[2] + q z[2] z[3] 2 3 4 5 4 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] + q z[1] 4 4 2 3 3 3 2 3 2 - q z[1] z[2] + 2 q z[2] + q z[1] - 2 q z[1] z[2] + q z[1] z[2] 2 3 2 3 2 4 4 5 - q z[1] z[2] + q z[1] z[2] - q z[2] + q z[1] z[2] + z[1] z[2] 4 3 2 3 3 2 2 2 + q z[2] + q z[1] - q z[1] z[2] + q z[2] - q z[1] z[2] 2 2 2 3 3 4 4 + q z[1] z[2] - q z[2] + q z[1] z[2] - q z[2] + z[1] z[2] 2 2 2 3 3 - q z[1] z[2] - q z[1] z[2] + q z[1] z[2] - q z[2] + z[1] z[2] 4 2 3 / 3 - z[2] + z[1] z[2] - z[2] ) (-1 + z[1]) (z[2] - 1) / ((q z[3] - 1) / 2 3 3 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[1] z[3] - 1) 4 2 (q z[1] z[3] - 1) (q z[1] z[3] - 1) (q z[1] z[3] - 1) (q z[3] - 1) 2 (q z[3] - 1)) and in Maple input notation: (q-z[2])*(-z[1]+q)*(q^13*z[1]^4*z[2]^3*z[3]^3-q^13*z[1]^3*z[2]^4*z[3]^3+q^13*z[ 1]^3*z[2]^3*z[3]^3-q^13*z[1]^2*z[2]^4*z[3]^3-q^12*z[1]^5*z[2]^2*z[3]^3+q^12*z[1 ]^4*z[2]^3*z[3]^3-q^12*z[1]^3*z[2]^4*z[3]^3+q^12*z[1]^2*z[2]^5*z[3]^3-q^11*z[1] ^5*z[2]^3*z[3]^3+q^11*z[1]^3*z[2]^5*z[3]^3+q^13*z[1]^2*z[2]^3*z[3]^3-q^13*z[1]* z[2]^4*z[3]^3+q^12*z[1]^3*z[2]^3*z[3]^3-2*q^12*z[1]^2*z[2]^4*z[3]^3-q^11*z[1]^5 *z[2]^2*z[3]^3+q^11*z[1]^4*z[2]^3*z[3]^3-2*q^11*z[1]^3*z[2]^4*z[3]^3+q^11*z[1]^ 2*z[2]^5*z[3]^3+q^9*z[1]^5*z[2]^4*z[3]^3-q^9*z[1]^4*z[2]^5*z[3]^3+q^13*z[1]*z[2 ]^3*z[3]^3+q^12*z[1]^2*z[2]^3*z[3]^3-q^12*z[1]*z[2]^4*z[3]^3-q^11*z[1]^5*z[2]*z [3]^3+q^11*z[1]^3*z[2]^3*z[3]^3-2*q^11*z[1]^2*z[2]^4*z[3]^3+q^11*z[1]*z[2]^5*z[ 3]^3-q^10*z[1]^5*z[2]^2*z[3]^3+q^10*z[1]^4*z[2]^3*z[3]^3-q^10*z[1]^3*z[2]^4*z[3 ]^3+2*q^10*z[1]^2*z[2]^5*z[3]^3+q^9*z[1]^4*z[2]^4*z[3]^3+q^8*z[1]^5*z[2]^4*z[3] ^3-q^8*z[1]^4*z[2]^5*z[3]^3+q^13*z[2]^3*z[3]^3-q^12*z[1]^3*z[2]^2*z[3]^2+q^12*z [1]^2*z[2]^3*z[3]^2+q^12*z[1]*z[2]^3*z[3]^3+q^11*z[1]^2*z[2]^3*z[3]^3-2*q^11*z[ 1]*z[2]^4*z[3]^3+q^10*z[1]^3*z[2]^3*z[3]^3-2*q^10*z[1]^2*z[2]^4*z[3]^3+q^10*z[1 ]*z[2]^5*z[3]^3+q^9*z[1]^4*z[2]^3*z[3]^3+q^9*z[1]^2*z[2]^5*z[3]^3+q^8*z[1]^5*z[ 2]^3*z[3]^3+q^8*z[1]^4*z[2]^4*z[3]^3-q^8*z[1]^3*z[2]^5*z[3]^3+q^7*z[1]^5*z[2]^4 *z[3]^3-q^7*z[1]^4*z[2]^5*z[3]^3-q^12*z[1]^2*z[2]^2*z[3]^2+q^12*z[1]*z[2]^3*z[3 ]^2+q^11*z[1]^4*z[2]*z[3]^2-2*q^11*z[1]^3*z[2]^2*z[3]^2+2*q^11*z[1]^2*z[2]^3*z[ 3]^2-q^11*z[2]^4*z[3]^3+q^10*z[1]^4*z[2]^2*z[3]^2-2*q^10*z[1]*z[2]^4*z[3]^3+q^9 *z[1]^5*z[2]^2*z[3]^2-q^9*z[1]^2*z[2]^5*z[3]^2-q^9*z[1]^2*z[2]^4*z[3]^3+q^9*z[1 ]*z[2]^5*z[3]^3+q^8*z[1]^2*z[2]^5*z[3]^3-q^7*z[1]^3*z[2]^5*z[3]^3-q^6*z[1]^4*z[ 2]^5*z[3]^3-q^12*z[1]*z[2]^2*z[3]^2-2*q^11*z[1]^2*z[2]^2*z[3]^2+2*q^11*z[1]*z[2 ]^3*z[3]^2+2*q^10*z[1]^4*z[2]*z[3]^2-3*q^10*z[1]^3*z[2]^2*z[3]^2+3*q^10*z[1]^2* z[2]^3*z[3]^2-q^10*z[2]^4*z[3]^3+q^9*z[1]^5*z[2]*z[3]^2+q^9*z[1]^4*z[2]^2*z[3]^ 2-q^9*z[1]^3*z[2]^3*z[3]^2-q^9*z[1]*z[2]^5*z[3]^2-q^9*z[1]*z[2]^4*z[3]^3+q^8*z[ 1]^5*z[2]^2*z[3]^2-2*q^8*z[1]^4*z[2]^3*z[3]^2+q^8*z[1]^3*z[2]^4*z[3]^2-q^8*z[1] ^2*z[2]^5*z[3]^2+q^8*z[1]*z[2]^5*z[3]^3-q^7*z[1]^5*z[2]^3*z[3]^2+q^7*z[1]^3*z[2 ]^5*z[3]^2-q^6*z[1]^3*z[2]^5*z[3]^3-q^12*z[2]^2*z[3]^2-2*q^11*z[1]*z[2]^2*z[3]^ 2+q^10*z[1]^4*z[3]^2-3*q^10*z[1]^2*z[2]^2*z[3]^2+3*q^10*z[1]*z[2]^3*z[3]^2+2*q^ 9*z[1]^4*z[2]*z[3]^2-3*q^9*z[1]^3*z[2]^2*z[3]^2+3*q^9*z[1]^2*z[2]^3*z[3]^2+q^8* z[1]^5*z[2]*z[3]^2+q^8*z[1]^4*z[2]^2*z[3]^2-2*q^8*z[1]^3*z[2]^3*z[3]^2-2*q^8*z[ 1]*z[2]^5*z[3]^2+q^8*z[2]^5*z[3]^3-3*q^7*z[1]^4*z[2]^3*z[3]^2+2*q^7*z[1]^3*z[2] ^4*z[3]^2-q^7*z[1]^2*z[2]^5*z[3]^2+q^7*z[1]*z[2]^5*z[3]^3-q^6*z[1]^5*z[2]^3*z[3 ]^2+q^6*z[1]^3*z[2]^5*z[3]^2-q^11*z[2]^2*z[3]^2-2*q^10*z[1]*z[2]^2*z[3]^2+q^10* z[2]^3*z[3]^2-2*q^9*z[1]^2*z[2]^2*z[3]^2+4*q^9*z[1]*z[2]^3*z[3]^2+q^9*z[2]^4*z[ 3]^2+q^8*z[1]^4*z[2]*z[3]^2-2*q^8*z[1]^3*z[2]^2*z[3]^2+2*q^8*z[1]^2*z[2]^3*z[3] ^2-3*q^7*z[1]^3*z[2]^3*z[3]^2+q^7*z[1]^2*z[2]^4*z[3]^2-2*q^7*z[1]*z[2]^5*z[3]^2 -4*q^6*z[1]^4*z[2]^3*z[3]^2+3*q^6*z[1]^3*z[2]^4*z[3]^2-q^5*z[1]^5*z[2]^3*z[3]^2 +2*q^5*z[1]^3*z[2]^5*z[3]^2+q^10*z[1]^2*z[2]*z[3]-q^10*z[1]*z[2]^2*z[3]-q^10*z[ 2]^2*z[3]^2-q^9*z[1]*z[2]^3*z[3]-q^9*z[1]*z[2]^2*z[3]^2+2*q^9*z[2]^3*z[3]^2-q^8 *z[1]^4*z[2]*z[3]-q^8*z[1]^2*z[2]^2*z[3]^2+4*q^8*z[1]*z[2]^3*z[3]^2+q^8*z[2]^4* z[3]^2+q^7*z[1]^4*z[2]*z[3]^2-q^7*z[1]^3*z[2]^2*z[3]^2+q^7*z[1]^2*z[2]^3*z[3]^2 -q^7*z[1]*z[2]^4*z[3]^2-q^7*z[2]^5*z[3]^2-2*q^6*z[1]^3*z[2]^3*z[3]^2+q^6*z[1]^2 *z[2]^4*z[3]^2-2*q^6*z[1]*z[2]^5*z[3]^2-2*q^5*z[1]^4*z[2]^3*z[3]^2+3*q^5*z[1]^3 *z[2]^4*z[3]^2+q^4*z[1]^3*z[2]^5*z[3]^2+q^10*z[1]*z[2]*z[3]-q^9*z[1]^3*z[3]+2*q ^9*z[1]^2*z[2]*z[3]-q^9*z[1]*z[2]^2*z[3]-q^8*z[1]^4*z[3]-q^8*z[1]^3*z[2]*z[3]+q ^8*z[1]^2*z[2]^2*z[3]-q^8*z[1]*z[2]^3*z[3]+2*q^8*z[2]^3*z[3]^2-2*q^7*z[1]^4*z[2 ]*z[3]+q^7*z[1]^3*z[2]^2*z[3]+q^7*z[1]*z[2]^4*z[3]+2*q^7*z[1]*z[2]^3*z[3]^2-q^6 *z[1]^5*z[2]*z[3]+q^6*z[1]^4*z[2]^2*z[3]+q^6*z[1]*z[2]^5*z[3]-q^6*z[1]*z[2]^4*z [3]^2-q^6*z[2]^5*z[3]^2-q^5*z[1]^3*z[2]^3*z[3]^2+q^5*z[1]^2*z[2]^4*z[3]^2-q^5*z [1]*z[2]^5*z[3]^2-q^4*z[1]^4*z[2]^3*z[3]^2+2*q^4*z[1]^3*z[2]^4*z[3]^2+q^4*z[1]^ 2*z[2]^5*z[3]^2+q^3*z[1]^3*z[2]^5*z[3]^2+q^10*z[2]*z[3]+2*q^9*z[1]*z[2]*z[3]-q^ 8*z[1]^3*z[3]+3*q^8*z[1]^2*z[2]*z[3]-2*q^8*z[1]*z[2]^2*z[3]-q^8*z[2]^3*z[3]-q^7 *z[1]^4*z[3]-q^7*z[1]^3*z[2]*z[3]+2*q^7*z[1]^2*z[2]^2*z[3]-2*q^7*z[1]*z[2]^3*z[ 3]+q^7*z[2]^3*z[3]^2-q^6*z[1]^4*z[2]*z[3]+3*q^6*z[1]^3*z[2]^2*z[3]-q^6*z[1]^2*z [2]^3*z[3]+q^6*z[1]*z[2]^4*z[3]+q^6*z[1]*z[2]^3*z[3]^2-q^6*z[2]^4*z[3]^2+2*q^5* z[1]^4*z[2]^2*z[3]-q^5*z[1]^2*z[2]^4*z[3]+q^5*z[1]*z[2]^5*z[3]-q^5*z[1]*z[2]^4* z[3]^2-q^5*z[2]^5*z[3]^2+q^4*z[1]^5*z[2]^2*z[3]-q^4*z[1]^2*z[2]^5*z[3]+q^4*z[1] ^2*z[2]^4*z[3]^2-q^4*z[1]*z[2]^5*z[3]^2+q^3*z[1]^3*z[2]^4*z[3]^2+q^9*z[2]*z[3]+ 2*q^8*z[1]*z[2]*z[3]-q^8*z[2]^2*z[3]-q^7*z[1]^3*z[3]+2*q^7*z[1]^2*z[2]*z[3]-2*q ^7*z[1]*z[2]^2*z[3]-2*q^7*z[2]^3*z[3]-2*q^6*z[1]^3*z[2]*z[3]+3*q^6*z[1]^2*z[2]^ 2*z[3]-2*q^6*z[1]*z[2]^3*z[3]-q^5*z[1]^4*z[2]*z[3]+4*q^5*z[1]^3*z[2]^2*z[3]-2*q ^5*z[1]^2*z[2]^3*z[3]+2*q^5*z[1]*z[2]^4*z[3]+q^5*z[2]^5*z[3]-q^5*z[2]^4*z[3]^2+ 2*q^4*z[1]^4*z[2]^2*z[3]-2*q^4*z[1]^2*z[2]^4*z[3]+q^4*z[1]*z[2]^5*z[3]-q^4*z[1] *z[2]^4*z[3]^2-q^3*z[1]^2*z[2]^5*z[3]+q^8*z[2]*z[3]+q^7*z[1]*z[2]*z[3]-2*q^7*z[ 2]^2*z[3]-q^6*z[1]^3*z[3]+q^6*z[1]^2*z[2]*z[3]-2*q^6*z[1]*z[2]^2*z[3]-2*q^6*z[2 ]^3*z[3]-q^5*z[1]^3*z[2]*z[3]+3*q^5*z[1]^2*z[2]^2*z[3]-2*q^5*z[1]*z[2]^3*z[3]+q ^5*z[2]^4*z[3]-q^4*z[1]^4*z[2]*z[3]+4*q^4*z[1]^3*z[2]^2*z[3]-3*q^4*z[1]^2*z[2]^ 3*z[3]+2*q^4*z[1]*z[2]^4*z[3]+q^4*z[2]^5*z[3]+q^3*z[1]^4*z[2]^2*z[3]-2*q^3*z[1] ^2*z[2]^4*z[3]-q^2*z[1]^2*z[2]^5*z[3]+q^6*z[1]^3-2*q^6*z[2]^2*z[3]+q^5*z[1]^4-q ^5*z[1]*z[2]^2*z[3]-q^5*z[2]^3*z[3]-q^4*z[1]^3*z[2]*z[3]+2*q^4*z[1]^2*z[2]^2*z[ 3]-q^4*z[1]*z[2]^3*z[3]+2*q^4*z[2]^4*z[3]+2*q^3*z[1]^3*z[2]^2*z[3]-3*q^3*z[1]^2 *z[2]^3*z[3]+q^3*z[1]*z[2]^4*z[3]+q^3*z[2]^5*z[3]-2*q^2*z[1]^2*z[2]^4*z[3]-q*z[ 1]^2*z[2]^5*z[3]-q^7*z[1]-q^6*z[1]*z[2]+q^6*z[2]^2+q^5*z[1]^3-q^5*z[1]^2*z[2]+q ^5*z[2]^3-q^5*z[2]^2*z[3]-q^4*z[1]^3*z[2]-q^3*z[1]^4*z[2]+q^3*z[1]^2*z[2]^2*z[3 ]-q^3*z[1]*z[2]^3*z[3]+2*q^3*z[2]^4*z[3]+q^2*z[1]^3*z[2]^2*z[3]-2*q^2*z[1]^2*z[ 2]^3*z[3]+q^2*z[1]*z[2]^4*z[3]-q*z[1]^2*z[2]^4*z[3]-q^7-q^6*z[1]+q^5*z[1]^2-q^5 *z[1]*z[2]+q^5*z[2]^2+q^4*z[1]^3-q^4*z[1]^2*z[2]-q^3*z[1]^3*z[2]-q^3*z[2]^4+q^3 *z[2]^3*z[3]-q^2*z[2]^5+q^2*z[2]^4*z[3]-q*z[1]^2*z[2]^3*z[3]+q*z[1]*z[2]^4*z[3] +q^5*z[2]+q^4*z[1]^2-q^4*z[1]*z[2]+2*q^4*z[2]^2+q^3*z[1]^3-2*q^3*z[1]^2*z[2]+q^ 3*z[1]*z[2]^2-q^2*z[1]^3*z[2]+q^2*z[1]*z[2]^3-q^2*z[2]^4+q*z[1]*z[2]^4+z[1]*z[2 ]^5+q^4*z[2]+q^3*z[1]^2-q^3*z[1]*z[2]+q^3*z[2]^2-q^2*z[1]^2*z[2]+q^2*z[1]*z[2]^ 2-q^2*z[2]^3+q*z[1]*z[2]^3-q*z[2]^4+z[1]*z[2]^4-q^2*z[1]*z[2]-q*z[1]^2*z[2]+q*z [1]*z[2]^2-q*z[2]^3+z[1]*z[2]^3-z[2]^4+z[1]*z[2]^2-z[2]^3)*(-1+z[1])*(z[2]-1)/( q^3*z[3]-1)/(q*z[2]*z[3]-1)/(q^2*z[2]*z[3]-1)/(q^3*z[2]*z[3]-1)/(q^3*z[1]*z[3]-\ 1)/(q^4*z[1]*z[3]-1)/(q*z[1]*z[3]-1)/(q^2*z[1]*z[3]-1)/(q*z[3]-1)/(q^2*z[3]-1) 7 x[1] For the coeff., ----- 7 x[2] we have: 2 3 21 3 7 - (q - z[1]) (-z[1] + q) (-1 + z[1]) (q - z[1]) (q z[1] z[2] z[3] 20 2 3 6 19 2 3 7 20 3 6 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 19 2 3 6 18 2 3 7 19 2 3 5 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 19 2 7 18 3 3 5 17 3 3 6 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 20 2 6 19 3 5 18 2 3 5 - q z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 18 2 7 17 3 3 5 17 2 3 6 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 3 3 6 20 2 3 2 19 2 5 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 3 3 3 18 2 3 4 18 2 6 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 17 3 3 4 17 2 3 5 17 2 2 6 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 3 3 5 16 2 2 7 15 3 3 6 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 21 3 19 2 3 2 19 2 5 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 18 3 4 18 2 5 17 3 3 3 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 2 3 4 17 2 6 - 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 16 3 3 4 16 2 2 6 14 3 3 6 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 20 3 18 2 3 2 18 2 4 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 6 17 2 3 3 17 2 2 4 + q z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 3 3 3 16 2 3 4 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 16 2 2 5 16 2 6 16 7 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 3 3 4 14 2 2 7 13 3 3 6 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 21 3 19 3 18 2 4 + q z[2] - q z[1] z[2] z[3] - q z[2] z[3] 17 2 3 2 17 3 3 17 2 4 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 17 6 16 3 3 2 16 2 3 3 + q z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 16 2 2 4 16 2 5 15 3 3 3 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 2 3 4 15 2 2 5 15 2 6 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 3 3 4 13 3 3 5 13 3 2 6 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 3 2 7 18 3 17 2 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 2 3 17 5 16 2 3 2 + q z[1] z[2] z[3] + q z[2] z[3] + 2 q z[1] z[2] z[3] 16 2 2 3 16 2 4 16 5 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 3 3 2 15 2 3 3 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 15 2 2 4 15 2 5 15 6 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 14 2 3 4 14 2 2 5 14 2 6 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 3 3 4 13 2 2 6 12 3 3 5 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 3 2 6 11 3 2 7 17 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 2 3 17 4 16 2 3 - q z[2] z[3] - q z[2] z[3] + 2 q z[1] z[2] z[3] 16 2 2 2 16 3 2 16 2 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 16 5 15 2 3 2 15 2 2 3 + 2 q z[2] z[3] + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 15 5 14 3 3 2 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 14 2 3 3 14 2 5 14 6 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 3 3 3 13 2 2 5 + q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 12 3 3 4 12 3 2 5 12 2 2 6 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 2 7 11 3 3 5 17 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] 17 2 16 3 16 2 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 2 3 15 2 2 2 15 2 3 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 15 4 15 5 15 6 14 2 3 2 - q z[1] z[2] z[3] + q z[2] z[3] - q z[3] + q z[1] z[2] z[3] 14 2 2 3 13 3 3 2 - 5 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 13 2 3 3 13 2 2 4 13 2 5 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 3 3 3 12 2 2 5 + 2 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 11 3 3 4 11 3 2 5 11 2 2 6 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 2 7 10 3 2 6 16 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] 16 2 16 2 2 16 3 - 2 q z[1] z[2] z[3] - q z[2] z[3] - q z[2] z[3] 15 2 2 15 3 15 4 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 14 2 3 14 2 2 2 14 2 3 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 14 4 14 5 13 3 2 2 - 4 q z[1] z[2] z[3] + q z[2] z[3] + q z[1] z[2] z[3] 13 2 2 3 13 2 4 12 3 3 2 - 6 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 2 3 3 12 2 2 4 12 2 5 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 6 11 3 3 3 11 3 2 4 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 2 2 5 11 2 6 10 3 2 5 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 2 15 3 15 2 15 3 + q z[2] - q z[1] z[2] - 2 q z[1] z[2] z[3] - q z[2] z[3] 14 2 2 14 2 2 14 3 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 4 14 5 13 2 3 + q z[2] z[3] - q z[3] + 2 q z[1] z[2] z[3] 13 2 3 13 4 13 5 + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + q z[2] z[3] 12 3 3 12 3 2 2 12 2 3 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 2 2 3 12 2 4 11 3 3 2 - 7 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 2 2 4 11 2 5 11 6 + 6 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 3 3 3 10 3 2 4 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 10 2 6 16 2 15 2 15 2 - 3 q z[1] z[2] z[3] + q z[2] - q z[2] z[3] - q z[2] z[3] 14 2 14 2 14 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[3] 13 2 2 13 2 2 13 4 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[2] z[3] 13 5 12 2 3 12 2 2 2 - q z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 4 11 3 3 11 3 2 2 - 6 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 11 2 3 2 11 2 2 3 11 2 4 - q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 5 11 6 10 3 3 2 + 2 q z[1] z[2] z[3] + q z[1] z[3] - q z[1] z[2] z[3] 10 3 2 3 10 2 2 4 9 3 3 3 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 3 2 4 9 2 6 7 3 7 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 2 14 2 14 2 13 2 + q z[2] + q z[1] z[2] - q z[2] z[3] - q z[1] z[2] z[3] 13 2 12 2 3 12 2 2 + 2 q z[1] z[2] z[3] + q z[1] z[2] + 4 q z[1] z[2] z[3] 12 3 12 4 12 5 11 2 3 - q z[1] z[2] z[3] + q z[2] z[3] - q z[3] + q z[1] z[2] z[3] 11 2 2 2 11 2 3 11 4 - 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 10 3 3 10 3 2 2 10 2 2 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 2 4 10 5 10 6 + 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[1] z[3] 9 3 2 3 9 2 2 4 9 2 5 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 8 3 3 3 8 3 2 4 8 2 6 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 13 2 13 3 12 2 - q z[2] z[3] - q z[2] z[3] + q z[3] - q z[1] z[2] z[3] 12 2 12 3 11 2 3 + 3 q z[1] z[2] z[3] + q z[2] z[3] + q z[1] z[2] 11 2 2 11 3 11 5 + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] - q z[3] 10 3 2 10 2 2 2 10 2 3 + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 4 10 5 9 3 3 - 3 q z[1] z[2] z[3] + q z[1] z[3] - q z[1] z[2] z[3] 9 3 2 2 9 2 4 9 5 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 3 2 3 8 2 2 4 8 2 5 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 3 2 4 7 2 6 6 3 6 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 12 2 12 2 12 3 - q z[2] z[3] - q z[1] z[2] - q z[2] z[3] + q z[3] 11 2 11 2 11 3 11 4 + q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] + q z[2] z[3] - q z[3] 10 2 3 10 2 2 10 3 + q z[1] z[2] - q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] 10 4 10 5 9 3 2 - q z[1] z[3] - q z[3] + 2 q z[1] z[2] z[3] 9 2 2 2 9 2 3 9 5 - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + 2 q z[1] z[3] 8 3 3 8 3 2 2 8 5 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 3 3 2 7 3 2 3 7 2 5 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 11 2 11 3 10 2 2 - q z[2] z[3] - 2 q z[1] z[2] + 2 q z[3] - q z[1] z[2] 10 2 10 2 10 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 10 4 9 2 2 9 2 2 - q z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 3 8 3 2 8 2 2 2 - 5 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 8 2 3 8 5 7 3 3 + 3 q z[1] z[2] z[3] + q z[1] z[3] - q z[1] z[2] z[3] 7 3 2 2 7 2 2 3 6 3 2 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 6 2 5 6 2 6 5 3 5 - q z[1] z[2] z[3] - q z[1] z[3] + q z[1] z[2] z[3] 11 10 2 10 10 2 - 2 q z[2] z[3] - q z[1] z[2] + 2 q z[1] z[2] z[3] + q z[2] z[3] 10 3 9 2 2 9 2 9 3 + 2 q z[3] - 2 q z[1] z[2] - 2 q z[1] z[2] z[3] - q z[1] z[3] 9 4 8 2 2 8 3 - 2 q z[3] + 3 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 8 4 7 3 2 7 2 2 2 + q z[1] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 7 2 3 7 4 7 5 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[3] 6 2 4 5 3 2 3 11 10 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] + q z[1] z[2] 10 10 2 9 9 3 - q z[2] z[3] + q z[3] + 2 q z[1] z[2] z[3] + q z[3] 8 2 2 8 2 8 3 8 4 - q z[1] z[2] - 2 q z[1] z[2] z[3] - q z[1] z[3] - q z[3] 7 3 7 2 2 7 3 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 7 4 6 3 3 6 3 2 + q z[1] z[3] - q z[1] z[2] + 2 q z[1] z[2] z[3] 6 2 3 6 5 5 3 2 2 + 2 q z[1] z[2] z[3] + q z[1] z[3] - q z[1] z[2] z[3] 5 2 4 5 2 5 4 3 4 10 - q z[1] z[2] z[3] - q z[1] z[3] + q z[1] z[2] z[3] - q z[3] 9 9 2 8 2 7 2 + 2 q z[1] z[2] + 2 q z[3] - q z[1] z[3] - q z[1] z[2] z[3] 7 4 6 3 6 2 2 - q z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 2 2 6 4 5 3 2 + 3 q z[1] z[2] z[3] + q z[1] z[3] + 2 q z[1] z[2] z[3] 4 3 2 2 9 8 8 2 - q z[1] z[2] z[3] - q z[3] + 2 q z[1] z[2] + 2 q z[3] 7 2 7 7 2 6 2 2 + q z[1] z[2] + q z[1] z[2] z[3] - q z[1] z[3] + q z[1] z[2] 6 2 6 2 5 3 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] 5 3 5 2 2 5 4 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] + q z[1] z[3] 4 3 2 4 2 3 4 2 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[3] 3 3 3 7 7 2 6 + q z[1] z[2] z[3] - q z[1] z[3] + q z[3] + q z[1] z[2] z[3] 6 2 6 3 5 2 5 3 - q z[1] z[3] - q z[3] - q z[1] z[2] z[3] + q z[1] z[3] 4 3 2 4 3 4 2 2 8 + q z[1] z[2] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q 6 6 2 5 2 5 2 - q z[1] z[3] + q z[3] - q z[1] z[2] - q z[1] z[3] 4 2 4 3 3 3 2 3 3 + q z[1] z[2] z[3] + q z[1] z[3] + q z[1] z[2] - q z[1] z[2] z[3] 3 2 3 2 3 2 5 4 2 - q z[1] z[3] + q z[1] z[2] z[3] - q z[1] z[3] - 2 q z[1] z[2] 3 3 3 2 2 3 4 - q z[1] z[2] + q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[3] 3 2 3 2 2 3 2 2 2 4 - q z[1] z[2] + q z[1] z[3] - q z[1] z[2] - q z[1] z[3] + q z[1] 3 2 3 3 2 2 2 + q z[1] - q z[1] z[3] - q z[1] z[2] + q z[1] - q z[1] z[3] 2 3 / 3 2 + q z[1] + z[1] ) / ((q z[2] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) / 3 7 6 4 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) 5 2 (q z[2] z[3] - 1) (q z[2] - 1) (q z[2] - 1)) and in Maple input notation: -(q^2-z[1])*(-z[1]+q)*(-1+z[1])*(q^3-z[1])*(q^21*z[1]*z[2]^3*z[3]^7-q^20*z[1]^2 *z[2]^3*z[3]^6+q^19*z[1]^2*z[2]^3*z[3]^7+q^20*z[1]*z[2]^3*z[3]^6-q^19*z[1]^2*z[ 2]^3*z[3]^6+q^18*z[1]^2*z[2]^3*z[3]^7-q^19*z[1]^2*z[2]^3*z[3]^5-q^19*z[1]*z[2]^ 2*z[3]^7+q^18*z[1]^3*z[2]^3*z[3]^5-q^17*z[1]^3*z[2]^3*z[3]^6-q^20*z[2]^2*z[3]^6 +q^19*z[1]*z[2]^3*z[3]^5-2*q^18*z[1]^2*z[2]^3*z[3]^5-q^18*z[1]*z[2]^2*z[3]^7+q^ 17*z[1]^3*z[2]^3*z[3]^5+q^17*z[1]^2*z[2]^3*z[3]^6-q^16*z[1]^3*z[2]^3*z[3]^6+q^ 20*z[1]^2*z[2]^3*z[3]^2+q^19*z[1]*z[2]^2*z[3]^5-q^18*z[1]^3*z[2]^3*z[3]^3-q^18* z[1]^2*z[2]^3*z[3]^4-2*q^18*z[1]*z[2]^2*z[3]^6+q^17*z[1]^3*z[2]^3*z[3]^4-q^17*z [1]^2*z[2]^3*z[3]^5+q^17*z[1]^2*z[2]^2*z[3]^6+q^16*z[1]^3*z[2]^3*z[3]^5-q^16*z[ 1]^2*z[2]^2*z[3]^7-q^15*z[1]^3*z[2]^3*z[3]^6-q^21*z[1]*z[2]^3*z[3]+q^19*z[1]^2* z[2]^3*z[3]^2-q^19*z[2]^2*z[3]^5+q^18*z[1]*z[2]^3*z[3]^4+2*q^18*z[1]*z[2]^2*z[3 ]^5-q^17*z[1]^3*z[2]^3*z[3]^3-2*q^17*z[1]^2*z[2]^3*z[3]^4-3*q^17*z[1]*z[2]^2*z[ 3]^6+2*q^16*z[1]^3*z[2]^3*z[3]^4+q^16*z[1]^2*z[2]^2*z[3]^6-q^14*z[1]^3*z[2]^3*z [3]^6-q^20*z[1]*z[2]^3*z[3]+2*q^18*z[1]^2*z[2]^3*z[3]^2+q^18*z[1]*z[2]^2*z[3]^4 +q^18*z[2]*z[3]^6-q^17*z[1]^2*z[2]^3*z[3]^3-q^17*z[1]^2*z[2]^2*z[3]^4-q^16*z[1] ^3*z[2]^3*z[3]^3-2*q^16*z[1]^2*z[2]^3*z[3]^4+2*q^16*z[1]^2*z[2]^2*z[3]^5-q^16*z [1]*z[2]^2*z[3]^6+q^16*z[1]*z[2]*z[3]^7+3*q^15*z[1]^3*z[2]^3*z[3]^4+q^14*z[1]^2 *z[2]^2*z[3]^7-q^13*z[1]^3*z[2]^3*z[3]^6+q^21*z[2]^3-q^19*z[1]*z[2]^3*z[3]-q^18 *z[2]^2*z[3]^4+2*q^17*z[1]^2*z[2]^3*z[3]^2+q^17*z[1]*z[2]^3*z[3]^3+3*q^17*z[1]* z[2]^2*z[3]^4+q^17*z[2]*z[3]^6-q^16*z[1]^3*z[2]^3*z[3]^2-2*q^16*z[1]^2*z[2]^3*z [3]^3-2*q^16*z[1]^2*z[2]^2*z[3]^4-2*q^16*z[1]*z[2]^2*z[3]^5-q^15*z[1]^3*z[2]^3* z[3]^3-q^15*z[1]^2*z[2]^3*z[3]^4+4*q^15*z[1]^2*z[2]^2*z[3]^5-q^15*z[1]*z[2]^2*z [3]^6+3*q^14*z[1]^3*z[2]^3*z[3]^4-q^13*z[1]^3*z[2]^3*z[3]^5-q^13*z[1]^3*z[2]^2* z[3]^6+q^12*z[1]^3*z[2]^2*z[3]^7-q^18*z[1]*z[2]^3*z[3]+q^17*z[1]^2*z[2]^3*z[3]+ q^17*z[1]*z[2]^2*z[3]^3+q^17*z[2]*z[3]^5+2*q^16*z[1]^2*z[2]^3*z[3]^2-q^16*z[1]^ 2*z[2]^2*z[3]^3+2*q^16*z[1]*z[2]^2*z[3]^4-q^16*z[1]*z[2]*z[3]^5-q^15*z[1]^3*z[2 ]^3*z[3]^2-2*q^15*z[1]^2*z[2]^3*z[3]^3-2*q^15*z[1]^2*z[2]^2*z[3]^4-q^15*z[1]*z[ 2]^2*z[3]^5+2*q^15*z[1]*z[2]*z[3]^6-q^14*z[1]^2*z[2]^3*z[3]^4+4*q^14*z[1]^2*z[2 ]^2*z[3]^5-q^14*z[1]*z[2]^2*z[3]^6+3*q^13*z[1]^3*z[2]^3*z[3]^4+q^13*z[1]^2*z[2] ^2*z[3]^6-q^12*z[1]^3*z[2]^3*z[3]^5-q^12*z[1]^3*z[2]^2*z[3]^6+q^11*z[1]^3*z[2]^ 2*z[3]^7-q^17*z[1]*z[2]^3*z[3]-q^17*z[2]^2*z[3]^3-q^17*z[2]*z[3]^4+2*q^16*z[1]^ 2*z[2]^3*z[3]+q^16*z[1]^2*z[2]^2*z[3]^2+q^16*z[1]*z[2]^3*z[3]^2+3*q^16*z[1]*z[2 ]^2*z[3]^3+2*q^16*z[2]*z[3]^5+q^15*z[1]^2*z[2]^3*z[3]^2-3*q^15*z[1]^2*z[2]^2*z[ 3]^3-2*q^15*z[1]*z[2]*z[3]^5-2*q^14*z[1]^3*z[2]^3*z[3]^2-2*q^14*z[1]^2*z[2]^3*z [3]^3-q^14*z[1]*z[2]^2*z[3]^5+q^14*z[1]*z[2]*z[3]^6+q^13*z[1]^3*z[2]^3*z[3]^3+5 *q^13*z[1]^2*z[2]^2*z[3]^5+2*q^12*z[1]^3*z[2]^3*z[3]^4-q^12*z[1]^3*z[2]^2*z[3]^ 5-q^12*z[1]^2*z[2]^2*z[3]^6-q^12*z[1]^2*z[2]*z[3]^7-q^11*z[1]^3*z[2]^3*z[3]^5-q ^17*z[1]*z[2]^3-q^17*z[1]*z[2]^2*z[3]-q^16*z[1]*z[2]^3*z[3]+q^16*z[1]*z[2]^2*z[ 3]^2+2*q^15*z[1]^2*z[2]^3*z[3]+q^15*z[1]^2*z[2]^2*z[3]^2+3*q^15*z[1]*z[2]^2*z[3 ]^3-q^15*z[1]*z[2]*z[3]^4+q^15*z[2]*z[3]^5-q^15*z[3]^6+q^14*z[1]^2*z[2]^3*z[3]^ 2-5*q^14*z[1]^2*z[2]^2*z[3]^3-2*q^13*z[1]^3*z[2]^3*z[3]^2-2*q^13*z[1]^2*z[2]^3* z[3]^3+q^13*z[1]^2*z[2]^2*z[3]^4-q^13*z[1]*z[2]^2*z[3]^5+2*q^12*z[1]^3*z[2]^3*z [3]^3+5*q^12*z[1]^2*z[2]^2*z[3]^5+q^11*z[1]^3*z[2]^3*z[3]^4-2*q^11*z[1]^3*z[2]^ 2*z[3]^5-q^11*z[1]^2*z[2]^2*z[3]^6-q^11*z[1]^2*z[2]*z[3]^7+q^10*z[1]^3*z[2]^2*z [3]^6-q^16*z[1]*z[2]^3-2*q^16*z[1]*z[2]^2*z[3]-q^16*z[2]^2*z[3]^2-q^16*z[2]*z[3 ]^3+3*q^15*z[1]*z[2]^2*z[3]^2+q^15*z[1]*z[2]*z[3]^3+q^15*z[2]*z[3]^4+2*q^14*z[1 ]^2*z[2]^3*z[3]+q^14*z[1]^2*z[2]^2*z[3]^2+2*q^14*z[1]*z[2]^2*z[3]^3-4*q^14*z[1] *z[2]*z[3]^4+q^14*z[2]*z[3]^5+q^13*z[1]^3*z[2]^2*z[3]^2-6*q^13*z[1]^2*z[2]^2*z[ 3]^3-q^13*z[1]*z[2]^2*z[3]^4-2*q^12*z[1]^3*z[2]^3*z[3]^2-q^12*z[1]^2*z[2]^3*z[3 ]^3+4*q^12*z[1]^2*z[2]^2*z[3]^4+q^12*z[1]^2*z[2]*z[3]^5+q^12*z[1]*z[2]*z[3]^6+2 *q^11*z[1]^3*z[2]^3*z[3]^3-q^11*z[1]^3*z[2]^2*z[3]^4+2*q^11*z[1]^2*z[2]^2*z[3]^ 5-2*q^11*z[1]^2*z[2]*z[3]^6-q^10*z[1]^3*z[2]^2*z[3]^5+q^17*z[2]^2-q^15*z[1]*z[2 ]^3-2*q^15*z[1]*z[2]^2*z[3]-q^15*z[2]*z[3]^3-q^14*z[1]^2*z[2]^2*z[3]+3*q^14*z[1 ]*z[2]^2*z[3]^2+q^14*z[1]*z[2]*z[3]^3+q^14*z[2]*z[3]^4-q^14*z[3]^5+2*q^13*z[1]^ 2*z[2]^3*z[3]+2*q^13*z[1]*z[2]^2*z[3]^3-4*q^13*z[1]*z[2]*z[3]^4+q^13*z[2]*z[3]^ 5-q^12*z[1]^3*z[2]^3*z[3]+q^12*z[1]^3*z[2]^2*z[3]^2-q^12*z[1]^2*z[2]^3*z[3]^2-7 *q^12*z[1]^2*z[2]^2*z[3]^3-q^12*z[1]*z[2]^2*z[3]^4-q^11*z[1]^3*z[2]^3*z[3]^2+6* q^11*z[1]^2*z[2]^2*z[3]^4+2*q^11*z[1]^2*z[2]*z[3]^5+q^11*z[1]*z[2]*z[3]^6+2*q^ 10*z[1]^3*z[2]^3*z[3]^3-2*q^10*z[1]^3*z[2]^2*z[3]^4-3*q^10*z[1]^2*z[2]*z[3]^6+q ^16*z[2]^2-q^15*z[2]^2*z[3]-q^15*z[2]*z[3]^2-q^14*z[1]*z[2]^2*z[3]+q^14*z[1]*z[ 2]*z[3]^2+q^14*z[3]^4-q^13*z[1]^2*z[2]^2*z[3]+3*q^13*z[1]*z[2]^2*z[3]^2+q^13*z[ 2]*z[3]^4-q^13*z[3]^5+2*q^12*z[1]^2*z[2]^3*z[3]-q^12*z[1]^2*z[2]^2*z[3]^2-6*q^ 12*z[1]*z[2]*z[3]^4-q^11*z[1]^3*z[2]^3*z[3]+2*q^11*z[1]^3*z[2]^2*z[3]^2-q^11*z[ 1]^2*z[2]^3*z[3]^2-4*q^11*z[1]^2*z[2]^2*z[3]^3+q^11*z[1]^2*z[2]*z[3]^4+2*q^11*z [1]*z[2]*z[3]^5+q^11*z[1]*z[3]^6-q^10*z[1]^3*z[2]^3*z[3]^2-q^10*z[1]^3*z[2]^2*z [3]^3+4*q^10*z[1]^2*z[2]^2*z[3]^4+q^9*z[1]^3*z[2]^3*z[3]^3-2*q^9*z[1]^3*z[2]^2* z[3]^4-q^9*z[1]^2*z[2]*z[3]^6+q^7*z[1]^3*z[2]*z[3]^7+q^15*z[2]^2+q^14*z[1]*z[2] ^2-q^14*z[2]*z[3]^2-q^13*z[1]*z[2]^2*z[3]+2*q^13*z[1]*z[2]*z[3]^2+q^12*z[1]^2*z [2]^3+4*q^12*z[1]*z[2]^2*z[3]^2-q^12*z[1]*z[2]*z[3]^3+q^12*z[2]*z[3]^4-q^12*z[3 ]^5+q^11*z[1]^2*z[2]^3*z[3]-4*q^11*z[1]^2*z[2]^2*z[3]^2-q^11*z[1]*z[2]^2*z[3]^3 -6*q^11*z[1]*z[2]*z[3]^4-q^10*z[1]^3*z[2]^3*z[3]+2*q^10*z[1]^3*z[2]^2*z[3]^2-q^ 10*z[1]^2*z[2]^2*z[3]^3+3*q^10*z[1]^2*z[2]*z[3]^4+3*q^10*z[1]*z[2]*z[3]^5+q^10* z[1]*z[3]^6-2*q^9*z[1]^3*z[2]^2*z[3]^3+2*q^9*z[1]^2*z[2]^2*z[3]^4-2*q^9*z[1]^2* z[2]*z[3]^5+q^8*z[1]^3*z[2]^3*z[3]^3-q^8*z[1]^3*z[2]^2*z[3]^4-q^8*z[1]^2*z[2]*z [3]^6-q^14*z[2]*z[3]-q^13*z[2]*z[3]^2+q^13*z[3]^3-q^12*z[1]*z[2]^2*z[3]+3*q^12* z[1]*z[2]*z[3]^2+q^12*z[2]*z[3]^3+q^11*z[1]^2*z[2]^3+2*q^11*z[1]*z[2]^2*z[3]^2-\ 4*q^11*z[1]*z[2]*z[3]^3-q^11*z[3]^5+q^10*z[1]^3*z[2]^2*z[3]-3*q^10*z[1]^2*z[2]^ 2*z[3]^2+q^10*z[1]^2*z[2]*z[3]^3-3*q^10*z[1]*z[2]*z[3]^4+q^10*z[1]*z[3]^5-q^9*z [1]^3*z[2]^3*z[3]+2*q^9*z[1]^3*z[2]^2*z[3]^2+2*q^9*z[1]^2*z[2]*z[3]^4+q^9*z[1]* z[2]*z[3]^5-2*q^8*z[1]^3*z[2]^2*z[3]^3+q^8*z[1]^2*z[2]^2*z[3]^4-q^8*z[1]^2*z[2] *z[3]^5-q^7*z[1]^3*z[2]^2*z[3]^4-q^7*z[1]^2*z[2]*z[3]^6+q^6*z[1]^3*z[2]*z[3]^6- q^13*z[2]*z[3]-q^12*z[1]*z[2]^2-q^12*z[2]*z[3]^2+q^12*z[3]^3+q^11*z[1]*z[2]^2*z [3]+5*q^11*z[1]*z[2]*z[3]^2+q^11*z[2]*z[3]^3-q^11*z[3]^4+q^10*z[1]^2*z[2]^3-q^ 10*z[1]^2*z[2]^2*z[3]-7*q^10*z[1]*z[2]*z[3]^3-q^10*z[1]*z[3]^4-q^10*z[3]^5+2*q^ 9*z[1]^3*z[2]^2*z[3]-2*q^9*z[1]^2*z[2]^2*z[3]^2+3*q^9*z[1]^2*z[2]*z[3]^3+2*q^9* z[1]*z[3]^5-q^8*z[1]^3*z[2]^3*z[3]+q^8*z[1]^3*z[2]^2*z[3]^2+q^8*z[1]*z[2]*z[3]^ 5+q^7*z[1]^3*z[2]^3*z[3]^2-2*q^7*z[1]^3*z[2]^2*z[3]^3-q^7*z[1]^2*z[2]*z[3]^5-q^ 12*z[2]*z[3]-2*q^11*z[1]*z[2]^2+2*q^11*z[3]^3-q^10*z[1]^2*z[2]^2-q^10*z[1]^2*z[ 2]*z[3]+q^10*z[1]*z[2]^2*z[3]+3*q^10*z[1]*z[2]*z[3]^2-q^10*z[3]^4-q^9*z[1]^2*z[ 2]^2*z[3]+q^9*z[1]^2*z[2]*z[3]^2-5*q^9*z[1]*z[2]*z[3]^3+2*q^8*z[1]^3*z[2]^2*z[3 ]-2*q^8*z[1]^2*z[2]^2*z[3]^2+3*q^8*z[1]^2*z[2]*z[3]^3+q^8*z[1]*z[3]^5-q^7*z[1]^ 3*z[2]^3*z[3]+q^7*z[1]^3*z[2]^2*z[3]^2+q^7*z[1]^2*z[2]^2*z[3]^3-2*q^6*z[1]^3*z[ 2]^2*z[3]^3-q^6*z[1]^2*z[2]*z[3]^5-q^6*z[1]^2*z[3]^6+q^5*z[1]^3*z[2]*z[3]^5-2*q ^11*z[2]*z[3]-q^10*z[1]*z[2]^2+2*q^10*z[1]*z[2]*z[3]+q^10*z[2]*z[3]^2+2*q^10*z[ 3]^3-2*q^9*z[1]^2*z[2]^2-2*q^9*z[1]^2*z[2]*z[3]-q^9*z[1]*z[3]^3-2*q^9*z[3]^4+3* q^8*z[1]^2*z[2]*z[3]^2-3*q^8*z[1]*z[2]*z[3]^3+q^8*z[1]*z[3]^4+2*q^7*z[1]^3*z[2] ^2*z[3]-2*q^7*z[1]^2*z[2]^2*z[3]^2+2*q^7*z[1]^2*z[2]*z[3]^3+q^7*z[1]*z[2]*z[3]^ 4+q^7*z[1]*z[3]^5-q^6*z[1]^2*z[2]*z[3]^4-q^5*z[1]^3*z[2]^2*z[3]^3+q^11*z[2]+q^ 10*z[1]*z[2]-q^10*z[2]*z[3]+q^10*z[3]^2+2*q^9*z[1]*z[2]*z[3]+q^9*z[3]^3-q^8*z[1 ]^2*z[2]^2-2*q^8*z[1]^2*z[2]*z[3]-q^8*z[1]*z[3]^3-q^8*z[3]^4-q^7*z[1]^3*z[2]*z[ 3]+3*q^7*z[1]^2*z[2]*z[3]^2-2*q^7*z[1]*z[2]*z[3]^3+q^7*z[1]*z[3]^4-q^6*z[1]^3*z [2]^3+2*q^6*z[1]^3*z[2]^2*z[3]+2*q^6*z[1]^2*z[2]*z[3]^3+q^6*z[1]*z[3]^5-q^5*z[1 ]^3*z[2]^2*z[3]^2-q^5*z[1]^2*z[2]*z[3]^4-q^5*z[1]^2*z[3]^5+q^4*z[1]^3*z[2]*z[3] ^4-q^10*z[3]+2*q^9*z[1]*z[2]+2*q^9*z[3]^2-q^8*z[1]*z[3]^2-q^7*z[1]^2*z[2]*z[3]- q^7*z[3]^4-q^6*z[1]^3*z[2]*z[3]-q^6*z[1]^2*z[2]^2*z[3]+3*q^6*z[1]^2*z[2]*z[3]^2 +q^6*z[1]*z[3]^4+2*q^5*z[1]^3*z[2]^2*z[3]-q^4*z[1]^3*z[2]^2*z[3]^2-q^9*z[3]+2*q ^8*z[1]*z[2]+2*q^8*z[3]^2+q^7*z[1]^2*z[2]+q^7*z[1]*z[2]*z[3]-q^7*z[1]*z[3]^2+q^ 6*z[1]^2*z[2]^2-q^6*z[1]^2*z[2]*z[3]-q^6*z[1]*z[2]*z[3]^2+q^5*z[1]^3*z[2]^2-q^5 *z[1]^3*z[2]*z[3]+4*q^5*z[1]^2*z[2]*z[3]^2+q^5*z[1]*z[3]^4+q^4*z[1]^3*z[2]^2*z[ 3]-q^4*z[1]^2*z[2]*z[3]^3-q^4*z[1]^2*z[3]^4+q^3*z[1]^3*z[2]*z[3]^3-q^7*z[1]*z[3 ]+q^7*z[3]^2+q^6*z[1]*z[2]*z[3]-q^6*z[1]*z[3]^2-q^6*z[3]^3-q^5*z[1]^2*z[2]*z[3] +q^5*z[1]*z[3]^3+q^4*z[1]^3*z[2]^2-q^4*z[1]^3*z[2]*z[3]+2*q^4*z[1]^2*z[2]*z[3]^ 2-q^8-q^6*z[1]*z[3]+q^6*z[3]^2-q^5*z[1]^2*z[2]-q^5*z[1]*z[3]^2+q^4*z[1]^2*z[2]* z[3]+q^4*z[1]*z[3]^3+q^3*z[1]^3*z[2]^2-q^3*z[1]^3*z[2]*z[3]-q^3*z[1]^2*z[3]^3+q ^2*z[1]^3*z[2]*z[3]^2-q^5*z[1]*z[3]-2*q^4*z[1]^2*z[2]-q^3*z[1]^3*z[2]+q^3*z[1]^ 2*z[2]*z[3]-q^2*z[1]^3*z[2]*z[3]-2*q^4*z[1]*z[3]-q^3*z[1]^2*z[2]+q^3*z[1]*z[3]^ 2-q^2*z[1]^3*z[2]-q^2*z[1]^2*z[3]^2+q^4*z[1]+q^3*z[1]^2-q^3*z[1]*z[3]-q*z[1]^3* z[2]+q^2*z[1]^2-q*z[1]^2*z[3]+q*z[1]^2+z[1]^3)/(q^3*z[2]-1)/(q^2*z[2]*z[3]-1)/( q*z[2]*z[3]-1)/(q^3*z[2]*z[3]-1)/(q^7*z[2]*z[3]-1)/(q^6*z[2]*z[3]-1)/(q^4*z[2]* z[3]-1)/(q^5*z[2]*z[3]-1)/(q*z[2]-1)/(q^2*z[2]-1) 7 x[1] For the coeff., ----------- 3 4 x[2] x[3] we have: 2 3 18 2 5 4 (q - z[1]) (-z[1] + q) (-1 + z[1]) (q - z[1]) (-q z[1] z[2] z[3] 16 3 5 5 19 5 3 17 2 5 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 5 3 17 2 5 3 16 2 5 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 3 5 4 19 5 2 18 5 2 - q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 17 5 3 16 2 5 3 16 2 4 4 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 3 5 4 14 3 4 5 17 5 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 17 4 3 15 2 5 3 15 2 4 4 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 14 3 4 4 14 3 3 5 13 3 4 5 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 5 16 5 2 16 4 3 + q z[2] z[3] - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 15 2 5 2 15 2 2 5 14 2 5 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 2 4 4 13 3 4 4 13 3 3 5 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 5 17 4 2 16 5 + q z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] 16 4 2 15 5 2 15 4 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 14 2 4 3 14 2 3 4 14 2 2 5 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 2 4 4 12 3 5 3 12 3 4 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 3 3 5 16 4 2 15 5 - q z[1] z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] 15 4 2 15 3 3 15 5 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 4 3 13 2 5 2 13 2 4 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 13 2 3 4 13 2 2 5 12 3 4 3 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 3 3 4 11 3 5 3 11 3 4 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 5 16 4 14 4 2 - q z[2] + q z[2] z[3] - 4 q z[1] z[2] z[3] 14 3 3 13 2 3 3 13 2 2 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 2 5 2 12 2 4 3 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 12 2 3 4 12 2 2 5 11 3 5 2 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 3 4 3 11 3 3 4 11 3 2 5 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 3 5 3 10 3 4 4 15 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[2] z[3] 15 3 2 14 4 14 4 - q z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 5 13 4 2 13 3 3 - q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 12 2 5 12 2 4 2 12 2 3 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 2 2 4 11 2 5 2 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 11 2 4 3 11 2 3 4 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 10 3 5 2 10 3 4 3 10 3 3 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 10 3 2 5 9 3 5 3 14 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[2] z[3] 14 3 2 13 4 13 2 3 - q z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 4 12 5 12 4 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 12 3 3 11 2 5 11 2 4 2 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 2 3 3 11 2 2 4 11 2 5 - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 2 5 2 10 2 4 3 10 2 3 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 3 5 2 9 3 4 3 9 3 3 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 3 2 5 14 4 14 4 13 4 - q z[1] z[2] z[3] - q z[2] + q z[3] + q z[2] z[3] 13 3 2 12 5 12 4 - q z[2] z[3] + q z[1] z[2] + q z[1] z[2] z[3] 12 3 2 12 2 3 12 4 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 2 3 2 11 2 2 3 11 4 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 3 3 10 2 5 10 2 4 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 10 2 3 3 10 2 2 4 10 2 5 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 2 4 3 8 3 3 4 8 3 2 5 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 4 13 3 13 2 2 12 4 - q z[2] + q z[2] z[3] - q z[2] z[3] + q z[2] z[3] 11 5 11 4 11 3 2 + q z[1] z[2] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 2 3 11 4 10 2 4 + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 2 3 2 10 2 2 3 10 2 4 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 4 2 9 2 5 9 2 4 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 9 2 3 3 9 2 2 4 8 3 4 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 3 2 4 12 4 12 3 12 2 2 + q z[1] z[2] z[3] - q z[2] + 2 q z[2] z[3] - q z[2] z[3] 11 3 11 2 2 10 5 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] 10 3 2 10 2 3 10 4 - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 2 4 9 2 3 2 9 2 2 3 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 9 2 4 8 2 4 2 8 2 3 3 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 3 5 7 3 4 2 7 3 2 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 3 5 2 11 4 11 3 11 2 2 - q z[1] z[2] z[3] - q z[2] + 2 q z[2] z[3] - q z[2] z[3] 10 4 10 3 10 2 2 + q z[1] z[2] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 10 4 9 3 2 9 2 3 - q z[1] z[3] - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 8 2 4 8 2 3 2 8 2 2 3 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 8 2 4 7 2 4 2 6 3 5 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 3 4 2 6 3 2 4 6 3 5 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 2 11 3 10 4 10 3 - q z[2] z[3] + q z[3] - q z[2] + 2 q z[2] z[3] 10 2 2 9 4 9 3 - q z[2] z[3] + q z[1] z[2] - q z[1] z[2] z[3] 9 2 2 9 3 9 4 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[3] 8 3 2 8 2 3 7 2 5 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] 7 2 4 7 2 3 2 7 2 2 3 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 7 2 4 6 2 4 2 5 3 5 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 3 10 2 10 3 9 2 - q z[2] - q z[2] z[3] + q z[3] - q z[1] z[2] z[3] 9 2 9 3 8 4 + q z[1] z[2] z[3] + q z[2] z[3] + 2 q z[1] z[2] 8 3 8 2 2 8 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 2 3 7 2 3 7 3 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 2 5 6 2 4 6 2 3 2 - q z[1] z[2] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 2 2 3 6 2 4 4 3 5 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 3 9 2 9 2 9 3 - q z[2] + q z[2] z[3] - q z[2] z[3] + q z[3] 8 2 8 2 7 4 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] 7 2 2 7 3 6 2 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 6 2 3 5 2 5 5 2 4 - 2 q z[1] z[2] z[3] - q z[1] z[2] - q z[1] z[2] z[3] 4 3 4 4 3 4 9 2 9 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] - q z[3] 8 3 8 2 8 2 7 3 - 2 q z[2] + 2 q z[2] z[3] - q z[2] z[3] - q z[1] z[2] 7 2 7 2 6 4 - 3 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] + 2 q z[1] z[2] 5 2 3 5 2 3 5 2 4 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[3] 4 2 4 3 3 4 8 2 8 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] - q z[2] z[3] 7 3 7 2 7 2 6 2 - q z[2] + q z[2] z[3] - q z[2] z[3] - 3 q z[1] z[2] z[3] 6 2 6 3 5 4 + 3 q z[1] z[2] z[3] - q z[1] z[3] + q z[1] z[2] 4 2 3 4 2 3 7 2 7 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] - q z[2] z[3] 6 3 6 2 5 2 5 2 - q z[2] + q z[2] z[3] - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 5 3 3 2 4 3 2 3 3 5 - q z[1] z[3] - q z[1] z[2] + q z[1] z[2] z[3] + q z[1] z[2] 6 2 5 2 5 2 4 3 + q z[3] - q z[1] z[2] + q z[1] z[3] + q z[1] z[2] 4 2 3 2 3 3 2 3 2 2 4 - q z[1] z[2] z[3] + q z[1] z[2] - q z[1] z[3] - q z[1] z[2] 6 6 4 2 4 2 3 3 + q z[2] - q z[3] - q z[1] z[2] + q z[1] z[3] + q z[1] z[2] 2 2 3 2 4 3 4 5 5 + q z[1] z[2] - q z[1] z[2] - z[1] z[2] + q z[2] - q z[3] 4 2 3 2 3 2 2 3 - q z[2] - 2 q z[1] z[2] + q z[1] z[3] + q z[1] z[2] 2 3 4 4 2 2 2 3 + q z[1] z[2] + q z[2] - q z[3] - q z[1] z[2] + z[1] z[2] 3 2 / 2 + q z[2] - q z[1] z[2] ) / ((q z[2] - 1) (q z[3] - 1) (q z[3] - 1) / 3 4 6 2 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) 5 7 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1)) and in Maple input notation: (q^2-z[1])*(-z[1]+q)*(-1+z[1])*(q^3-z[1])*(-q^18*z[1]^2*z[2]^5*z[3]^4+q^16*z[1] ^3*z[2]^5*z[3]^5+q^19*z[1]*z[2]^5*z[3]^3-q^17*z[1]^2*z[2]^5*z[3]^4+q^18*z[1]*z[ 2]^5*z[3]^3+q^17*z[1]^2*z[2]^5*z[3]^3-q^16*z[1]^2*z[2]^5*z[3]^4-q^15*z[1]^3*z[2 ]^5*z[3]^4-q^19*z[2]^5*z[3]^2-q^18*z[1]*z[2]^5*z[3]^2+q^17*z[1]*z[2]^5*z[3]^3+2 *q^16*z[1]^2*z[2]^5*z[3]^3-q^16*z[1]^2*z[2]^4*z[3]^4-q^14*z[1]^3*z[2]^5*z[3]^4+ q^14*z[1]^3*z[2]^4*z[3]^5-2*q^17*z[1]*z[2]^5*z[3]^2+q^17*z[1]*z[2]^4*z[3]^3+2*q ^15*z[1]^2*z[2]^5*z[3]^3-2*q^15*z[1]^2*z[2]^4*z[3]^4+q^14*z[1]^3*z[2]^4*z[3]^4- q^14*z[1]^3*z[2]^3*z[3]^5+q^13*z[1]^3*z[2]^4*z[3]^5+q^18*z[2]^5*z[3]-2*q^16*z[1 ]*z[2]^5*z[3]^2+2*q^16*z[1]*z[2]^4*z[3]^3-q^15*z[1]^2*z[2]^5*z[3]^2+q^15*z[1]^2 *z[2]^2*z[3]^5+q^14*z[1]^2*z[2]^5*z[3]^3-2*q^14*z[1]^2*z[2]^4*z[3]^4+q^13*z[1]^ 3*z[2]^4*z[3]^4-q^13*z[1]^3*z[2]^3*z[3]^5+q^17*z[2]^5*z[3]-q^17*z[2]^4*z[3]^2+q ^16*z[1]*z[2]^5*z[3]-q^16*z[1]*z[2]^4*z[3]^2-q^15*z[1]*z[2]^5*z[3]^2+2*q^15*z[1 ]*z[2]^4*z[3]^3+q^14*z[1]^2*z[2]^4*z[3]^3-q^14*z[1]^2*z[2]^3*z[3]^4+q^14*z[1]^2 *z[2]^2*z[3]^5-q^13*z[1]^2*z[2]^4*z[3]^4-q^12*z[1]^3*z[2]^5*z[3]^3+q^12*z[1]^3* z[2]^4*z[3]^4-q^12*z[1]^3*z[2]^3*z[3]^5-q^16*z[2]^4*z[3]^2+q^15*z[1]*z[2]^5*z[3 ]-2*q^15*z[1]*z[2]^4*z[3]^2+q^15*z[1]*z[2]^3*z[3]^3-q^15*z[1]*z[2]*z[3]^5+q^14* z[1]*z[2]^4*z[3]^3+q^13*z[1]^2*z[2]^5*z[3]^2+2*q^13*z[1]^2*z[2]^4*z[3]^3-2*q^13 *z[1]^2*z[2]^3*z[3]^4+q^13*z[1]^2*z[2]^2*z[3]^5-q^12*z[1]^3*z[2]^4*z[3]^3+q^12* z[1]^3*z[2]^3*z[3]^4-2*q^11*z[1]^3*z[2]^5*z[3]^3+q^11*z[1]^3*z[2]^4*z[3]^4-q^16 *z[2]^5+q^16*z[2]^4*z[3]-4*q^14*z[1]*z[2]^4*z[3]^2+2*q^14*z[1]*z[2]^3*z[3]^3-q^ 13*z[1]^2*z[2]^3*z[3]^3+q^13*z[1]^2*z[2]^2*z[3]^4+2*q^12*z[1]^2*z[2]^5*z[3]^2+2 *q^12*z[1]^2*z[2]^4*z[3]^3-3*q^12*z[1]^2*z[2]^3*z[3]^4+q^12*z[1]^2*z[2]^2*z[3]^ 5+q^11*z[1]^3*z[2]^5*z[3]^2-q^11*z[1]^3*z[2]^4*z[3]^3+q^11*z[1]^3*z[2]^3*z[3]^4 -q^11*z[1]^3*z[2]^2*z[3]^5-q^10*z[1]^3*z[2]^5*z[3]^3+q^10*z[1]^3*z[2]^4*z[3]^4+ 2*q^15*z[2]^4*z[3]-q^15*z[2]^3*z[3]^2+q^14*z[1]*z[2]^4*z[3]-q^14*z[1]*z[2]*z[3] ^4-q^13*z[1]*z[2]^5*z[3]-4*q^13*z[1]*z[2]^4*z[3]^2+3*q^13*z[1]*z[2]^3*z[3]^3-q^ 12*z[1]^2*z[2]^5*z[3]+q^12*z[1]^2*z[2]^4*z[3]^2-2*q^12*z[1]^2*z[2]^3*z[3]^3+q^ 12*z[1]^2*z[2]^2*z[3]^4+2*q^11*z[1]^2*z[2]^5*z[3]^2+2*q^11*z[1]^2*z[2]^4*z[3]^3 -2*q^11*z[1]^2*z[2]^3*z[3]^4+q^10*z[1]^3*z[2]^5*z[3]^2-q^10*z[1]^3*z[2]^4*z[3]^ 3+2*q^10*z[1]^3*z[2]^3*z[3]^4-q^10*z[1]^3*z[2]^2*z[3]^5-q^9*z[1]^3*z[2]^5*z[3]^ 3+2*q^14*z[2]^4*z[3]-q^14*z[2]^3*z[3]^2+q^13*z[1]*z[2]^4*z[3]+q^13*z[1]*z[2]^2* z[3]^3-q^13*z[1]*z[2]*z[3]^4-q^12*z[1]*z[2]^5*z[3]-3*q^12*z[1]*z[2]^4*z[3]^2+2* q^12*z[1]*z[2]^3*z[3]^3-2*q^11*z[1]^2*z[2]^5*z[3]+q^11*z[1]^2*z[2]^4*z[3]^2-3*q ^11*z[1]^2*z[2]^3*z[3]^3+2*q^11*z[1]^2*z[2]^2*z[3]^4+q^11*z[1]^2*z[2]*z[3]^5+q^ 10*z[1]^2*z[2]^5*z[3]^2+q^10*z[1]^2*z[2]^4*z[3]^3-q^10*z[1]^2*z[2]^3*z[3]^4+q^9 *z[1]^3*z[2]^5*z[3]^2-q^9*z[1]^3*z[2]^4*z[3]^3+q^9*z[1]^3*z[2]^3*z[3]^4-q^9*z[1 ]^3*z[2]^2*z[3]^5-q^14*z[2]^4+q^14*z[3]^4+q^13*z[2]^4*z[3]-q^13*z[2]^3*z[3]^2+q ^12*z[1]*z[2]^5+q^12*z[1]*z[2]^4*z[3]-q^12*z[1]*z[2]^3*z[3]^2+2*q^12*z[1]*z[2]^ 2*z[3]^3-2*q^12*z[1]*z[2]*z[3]^4+q^11*z[1]^2*z[2]^3*z[3]^2-q^11*z[1]^2*z[2]^2*z [3]^3-2*q^11*z[1]*z[2]^4*z[3]^2+q^11*z[1]*z[2]^3*z[3]^3-2*q^10*z[1]^2*z[2]^5*z[ 3]+2*q^10*z[1]^2*z[2]^4*z[3]^2-3*q^10*z[1]^2*z[2]^3*z[3]^3+q^10*z[1]^2*z[2]^2*z [3]^4+q^10*z[1]^2*z[2]*z[3]^5+q^9*z[1]^2*z[2]^4*z[3]^3+q^8*z[1]^3*z[2]^3*z[3]^4 -q^8*z[1]^3*z[2]^2*z[3]^5-q^13*z[2]^4+q^13*z[2]^3*z[3]-q^13*z[2]^2*z[3]^2+q^12* z[2]^4*z[3]+q^11*z[1]*z[2]^5+q^11*z[1]*z[2]^4*z[3]-2*q^11*z[1]*z[2]^3*z[3]^2+3* q^11*z[1]*z[2]^2*z[3]^3-2*q^11*z[1]*z[2]*z[3]^4-q^10*z[1]^2*z[2]^4*z[3]+2*q^10* z[1]^2*z[2]^3*z[3]^2-2*q^10*z[1]^2*z[2]^2*z[3]^3+q^10*z[1]^2*z[2]*z[3]^4-q^10*z [1]*z[2]^4*z[3]^2-q^9*z[1]^2*z[2]^5*z[3]+2*q^9*z[1]^2*z[2]^4*z[3]^2-2*q^9*z[1]^ 2*z[2]^3*z[3]^3+q^9*z[1]^2*z[2]^2*z[3]^4-q^8*z[1]^3*z[2]^4*z[3]^2+q^8*z[1]^3*z[ 2]^2*z[3]^4-q^12*z[2]^4+2*q^12*z[2]^3*z[3]-q^12*z[2]^2*z[3]^2-q^11*z[1]*z[2]^3* z[3]+q^11*z[1]*z[2]^2*z[3]^2+q^10*z[1]*z[2]^5-3*q^10*z[1]*z[2]^3*z[3]^2+3*q^10* z[1]*z[2]^2*z[3]^3-q^10*z[1]*z[2]*z[3]^4-q^9*z[1]^2*z[2]^4*z[3]+3*q^9*z[1]^2*z[ 2]^3*z[3]^2-4*q^9*z[1]^2*z[2]^2*z[3]^3+q^9*z[1]^2*z[2]*z[3]^4+2*q^8*z[1]^2*z[2] ^4*z[3]^2-q^8*z[1]^2*z[2]^3*z[3]^3+q^7*z[1]^3*z[2]^5*z[3]-q^7*z[1]^3*z[2]^4*z[3 ]^2+q^7*z[1]^3*z[2]^2*z[3]^4-q^6*z[1]^3*z[2]^5*z[3]^2-q^11*z[2]^4+2*q^11*z[2]^3 *z[3]-q^11*z[2]^2*z[3]^2+q^10*z[1]*z[2]^4-q^10*z[1]*z[2]^3*z[3]+2*q^10*z[1]*z[2 ]^2*z[3]^2-q^10*z[1]*z[3]^4-3*q^9*z[1]*z[2]^3*z[3]^2+2*q^9*z[1]*z[2]^2*z[3]^3-q ^8*z[1]^2*z[2]^4*z[3]+3*q^8*z[1]^2*z[2]^3*z[3]^2-4*q^8*z[1]^2*z[2]^2*z[3]^3+q^8 *z[1]^2*z[2]*z[3]^4+q^7*z[1]^2*z[2]^4*z[3]^2+q^6*z[1]^3*z[2]^5*z[3]-q^6*z[1]^3* z[2]^4*z[3]^2+q^6*z[1]^3*z[2]^2*z[3]^4-q^6*z[1]^3*z[2]*z[3]^5-q^11*z[2]*z[3]^2+ q^11*z[3]^3-q^10*z[2]^4+2*q^10*z[2]^3*z[3]-q^10*z[2]^2*z[3]^2+q^9*z[1]*z[2]^4-q ^9*z[1]*z[2]^3*z[3]+3*q^9*z[1]*z[2]^2*z[3]^2-q^9*z[1]*z[2]*z[3]^3-q^9*z[1]*z[3] ^4-2*q^8*z[1]*z[2]^3*z[3]^2+q^8*z[1]*z[2]^2*z[3]^3-q^7*z[1]^2*z[2]^5-2*q^7*z[1] ^2*z[2]^4*z[3]+2*q^7*z[1]^2*z[2]^3*z[3]^2-3*q^7*z[1]^2*z[2]^2*z[3]^3+2*q^7*z[1] ^2*z[2]*z[3]^4+q^6*z[1]^2*z[2]^4*z[3]^2+q^5*z[1]^3*z[2]^5*z[3]-q^10*z[2]^3-q^10 *z[2]*z[3]^2+q^10*z[3]^3-q^9*z[1]*z[2]^2*z[3]+q^9*z[1]*z[2]*z[3]^2+q^9*z[2]^3*z [3]+2*q^8*z[1]*z[2]^4-q^8*z[1]*z[2]^3*z[3]+2*q^8*z[1]*z[2]^2*z[3]^2-q^8*z[1]*z[ 2]*z[3]^3+q^7*z[1]^2*z[2]^3*z[3]-q^7*z[1]^2*z[2]*z[3]^3-q^7*z[1]*z[2]^3*z[3]^2- q^6*z[1]^2*z[2]^5-2*q^6*z[1]^2*z[2]^4*z[3]+q^6*z[1]^2*z[2]^3*z[3]^2-q^6*z[1]^2* z[2]^2*z[3]^3+q^6*z[1]^2*z[2]*z[3]^4+q^4*z[1]^3*z[2]^5*z[3]-q^9*z[2]^3+q^9*z[2] ^2*z[3]-q^9*z[2]*z[3]^2+q^9*z[3]^3-2*q^8*z[1]*z[2]^2*z[3]+2*q^8*z[1]*z[2]*z[3]^ 2+2*q^7*z[1]*z[2]^4+q^7*z[1]*z[2]^2*z[3]^2-q^7*z[1]*z[2]*z[3]^3+2*q^6*z[1]^2*z[ 2]^3*z[3]-2*q^6*z[1]^2*z[2]*z[3]^3-q^5*z[1]^2*z[2]^5-q^5*z[1]^2*z[2]^4*z[3]-q^4 *z[1]^3*z[2]^4*z[3]+q^4*z[1]^3*z[2]*z[3]^4+q^9*z[2]^2-q^9*z[3]^2-2*q^8*z[2]^3+2 *q^8*z[2]^2*z[3]-q^8*z[2]*z[3]^2-q^7*z[1]*z[2]^3-3*q^7*z[1]*z[2]^2*z[3]+4*q^7*z [1]*z[2]*z[3]^2+2*q^6*z[1]*z[2]^4+2*q^5*z[1]^2*z[2]^3*z[3]-2*q^5*z[1]^2*z[2]*z[ 3]^3+q^5*z[1]^2*z[3]^4-q^4*z[1]^2*z[2]^4*z[3]-q^3*z[1]^3*z[2]^4*z[3]+q^8*z[2]^2 -q^8*z[2]*z[3]-q^7*z[2]^3+q^7*z[2]^2*z[3]-q^7*z[2]*z[3]^2-3*q^6*z[1]*z[2]^2*z[3 ]+3*q^6*z[1]*z[2]*z[3]^2-q^6*z[1]*z[3]^3+q^5*z[1]*z[2]^4+2*q^4*z[1]^2*z[2]^3*z[ 3]-q^4*z[1]^2*z[2]*z[3]^3+q^7*z[2]^2-q^7*z[2]*z[3]-q^6*z[2]^3+q^6*z[2]^2*z[3]-2 *q^5*z[1]*z[2]^2*z[3]+2*q^5*z[1]*z[2]*z[3]^2-q^5*z[1]*z[3]^3-q^3*z[1]^2*z[2]^4+ q^3*z[1]^2*z[2]^3*z[3]+q*z[1]^3*z[2]^5+q^6*z[3]^2-q^5*z[1]*z[2]^2+q^5*z[1]*z[3] ^2+q^4*z[1]*z[2]^3-q^4*z[1]*z[2]^2*z[3]+q^3*z[1]^2*z[2]^3-q^3*z[1]^2*z[3]^3-q^2 *z[1]^2*z[2]^4+q^6*z[2]-q^6*z[3]-q^4*z[1]*z[2]^2+q^4*z[1]*z[3]^2+q^3*z[1]*z[2]^ 3+q^2*z[1]^2*z[2]^3-q*z[1]^2*z[2]^4-z[1]^3*z[2]^4+q^5*z[2]-q^5*z[3]-q^4*z[2]^2-\ 2*q^3*z[1]*z[2]^2+q^3*z[1]*z[3]^2+q^2*z[1]*z[2]^3+q*z[1]^2*z[2]^3+q^4*z[2]-q^4* z[3]-q^2*z[1]*z[2]^2+z[1]^2*z[2]^3+q^3*z[2]-q*z[1]*z[2]^2)/(q*z[2]-1)/(q^2*z[3] -1)/(q*z[3]-1)/(q^3*z[2]*z[3]-1)/(q^4*z[2]*z[3]-1)/(q^6*z[2]*z[3]-1)/(q^2*z[2]* z[3]-1)/(q^5*z[2]*z[3]-1)/(q^7*z[2]*z[3]-1)/(q*z[2]*z[3]-1) 7 x[1] For the coeff., ----------- 2 5 x[2] x[3] we have: 3 2 18 2 6 4 (-z[1] + q) (q - z[1]) (q - z[1]) (-1 + z[1]) (-q z[1] z[2] z[3] 19 6 3 18 6 3 17 2 6 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 3 6 4 19 6 2 18 6 2 - q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 16 2 6 3 16 2 5 4 15 3 5 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 6 2 17 5 3 16 2 5 3 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 2 6 3 14 3 5 4 18 6 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 16 6 2 16 5 3 15 2 6 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 2 5 3 17 6 17 5 2 - q z[1] z[2] z[3] + q z[2] z[3] - q z[2] z[3] 16 6 14 2 5 3 14 2 4 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 3 5 3 13 3 4 4 12 3 6 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 6 15 5 2 15 4 3 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 2 5 2 14 2 4 3 13 3 3 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 2 6 2 13 2 5 3 12 3 5 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 3 4 4 11 3 6 3 16 6 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] 16 5 15 4 2 14 2 2 4 + q z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 5 2 14 4 3 13 2 5 2 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 2 4 3 12 3 4 3 12 3 3 4 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 2 6 2 12 2 5 3 11 3 6 2 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 3 5 3 11 3 4 4 15 5 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[2] z[3] 15 4 2 14 4 2 13 2 2 4 - q z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 6 13 5 2 12 2 6 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 2 5 2 12 2 4 3 12 2 3 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 3 4 3 11 3 3 4 11 2 6 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 2 5 3 10 3 6 2 10 3 5 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 3 4 4 15 4 14 4 + q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 14 5 13 5 13 4 2 + q z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 3 3 12 2 4 2 12 2 3 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 2 2 4 12 6 12 5 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 2 6 11 2 5 2 11 2 4 3 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 3 5 2 10 3 4 3 9 3 6 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 3 5 3 14 5 13 4 - q z[1] z[2] z[3] - q z[2] - q z[1] z[2] z[3] 13 3 2 13 5 12 2 2 3 + q z[1] z[2] z[3] + q z[2] z[3] + q z[1] z[2] z[3] 12 6 12 5 12 4 2 + q z[1] z[2] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 3 3 11 2 4 2 11 2 3 3 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 11 2 2 4 11 5 2 10 3 2 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 2 6 10 2 5 2 9 3 5 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 3 4 3 13 3 13 5 13 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] + q z[2] z[3] 13 3 2 12 4 12 3 2 - q z[2] z[3] - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 12 5 11 2 3 2 11 2 2 3 + q z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 11 6 11 5 11 4 2 + q z[1] z[2] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 2 4 2 10 2 3 3 9 3 3 3 + 3 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 3 2 4 9 2 6 9 2 4 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 3 5 2 8 3 3 4 13 4 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] 13 3 12 3 12 5 12 4 - q z[2] z[3] - q z[1] z[2] z[3] - q z[2] + q z[2] z[3] 11 4 11 3 2 11 2 3 - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 2 3 2 10 2 2 3 10 2 4 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 6 10 5 10 4 2 + q z[1] z[2] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 9 2 4 2 9 2 3 3 8 3 3 3 + 4 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 3 2 4 7 3 6 7 3 5 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 3 12 3 11 2 2 + q z[3] - q z[2] z[3] + q z[1] z[2] z[3] 11 3 11 5 11 4 10 5 - 2 q z[1] z[2] z[3] - q z[2] + q z[2] z[3] + q z[1] z[2] 10 4 10 3 2 10 2 3 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 2 4 9 2 3 2 9 2 2 3 + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 2 4 9 5 9 4 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 2 5 8 2 4 2 8 2 3 3 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 7 3 3 3 7 3 2 4 6 3 6 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 3 5 2 11 2 2 10 3 - q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 10 2 2 10 3 10 5 + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[2] 10 4 9 2 3 9 5 + q z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] 9 4 9 3 2 8 2 4 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 8 2 3 2 8 2 2 3 7 2 6 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] 7 2 5 7 2 4 2 5 3 6 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 3 11 2 10 2 10 4 + q z[2] - q z[2] z[3] - q z[1] z[2] z[3] - q z[2] 9 4 9 3 9 2 2 - q z[1] z[2] - 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 9 3 8 2 2 2 8 2 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 5 8 3 2 7 2 4 + 2 q z[1] z[2] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 7 2 3 2 7 2 2 3 6 3 2 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 2 6 6 2 5 6 2 4 2 - q z[1] z[2] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 3 5 4 3 6 10 3 10 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] - q z[2] z[3] 9 2 9 2 9 3 9 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[3] - q z[2] 9 3 8 4 8 3 + q z[2] z[3] - q z[1] z[2] - 4 q z[1] z[2] z[3] 8 2 2 7 2 2 2 7 2 3 + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 5 7 4 7 3 2 + 2 q z[1] z[2] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 2 4 6 2 2 3 5 3 2 3 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 3 4 5 2 6 5 2 5 - q z[1] z[2] z[3] - q z[1] z[2] - 2 q z[1] z[2] z[3] 4 3 5 10 2 9 3 9 2 - q z[1] z[2] z[3] + q z[3] + 2 q z[2] - q z[2] z[3] 9 2 8 2 8 2 - q z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 3 8 4 8 3 7 4 - q z[1] z[3] - 2 q z[2] + q z[2] z[3] - q z[1] z[2] 7 3 7 2 2 6 2 2 2 - 5 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 6 2 3 6 5 6 4 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] + q z[1] z[2] z[3] 5 2 4 4 2 5 3 3 5 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 9 2 8 3 8 2 7 3 - q z[2] z[3] + q z[3] + 2 q z[2] - q z[2] z[3] - q z[1] z[2] 7 2 7 2 7 4 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] 6 3 6 2 2 5 2 2 2 - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 5 2 3 5 5 5 4 + q z[1] z[2] z[3] + q z[1] z[2] + q z[1] z[2] z[3] 4 2 4 8 8 2 7 3 + 2 q z[1] z[2] z[3] - q z[2] z[3] + q z[3] + q z[2] 6 3 6 2 6 2 6 4 - q z[1] z[2] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] 5 2 2 5 3 4 2 4 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] 3 3 3 3 2 5 3 2 4 + q z[1] z[2] z[3] - q z[1] z[2] + q z[1] z[2] z[3] 3 6 7 2 7 6 + q z[1] z[2] + q z[2] - q z[2] z[3] + q z[1] z[2] z[3] 6 2 5 3 5 2 + q z[2] z[3] - 2 q z[1] z[2] + q z[1] z[2] z[3] 4 2 2 4 2 3 4 4 - 2 q z[1] z[2] z[3] + q z[1] z[3] + q z[1] z[2] 4 3 3 2 4 2 2 5 6 2 - q z[1] z[2] z[3] + q z[1] z[2] - q z[1] z[2] + 2 q z[2] 6 5 5 2 4 3 - 2 q z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[3] - 2 q z[1] z[2] 3 2 2 3 4 2 2 4 2 5 - q z[1] z[2] z[3] + q z[1] z[2] + q z[1] z[2] - q z[1] z[2] 3 5 6 5 2 5 4 - z[1] z[2] - q z[2] + 2 q z[2] - q z[2] z[3] + 2 q z[1] z[2] z[3] 4 2 4 3 3 3 2 4 - q z[1] z[3] - q z[2] - 2 q z[1] z[2] + q z[1] z[2] 2 4 5 5 4 2 2 2 2 + q z[1] z[2] - q z[2] + q z[3] + q z[2] - q z[1] z[3] 2 3 2 4 3 3 2 3 - q z[1] z[2] + z[1] z[2] + q z[1] z[3] + q z[2] - q z[1] z[2] 2 3 / 2 + q z[1] z[3] - q ) / ((q z[2] - 1) (q z[3] - 1) (q z[3] - 1) / 7 2 5 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) 3 6 4 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1)) and in Maple input notation: (-z[1]+q)*(q^3-z[1])*(q^2-z[1])*(-1+z[1])*(-q^18*z[1]^2*z[2]^6*z[3]^4+q^19*z[1] *z[2]^6*z[3]^3+q^18*z[1]*z[2]^6*z[3]^3+q^17*z[1]^2*z[2]^6*z[3]^3-q^15*z[1]^3*z[ 2]^6*z[3]^4-q^19*z[2]^6*z[3]^2-q^18*z[1]*z[2]^6*z[3]^2+2*q^16*z[1]^2*z[2]^6*z[3 ]^3-q^16*z[1]^2*z[2]^5*z[3]^4+q^15*z[1]^3*z[2]^5*z[3]^4-2*q^17*z[1]*z[2]^6*z[3] ^2+q^17*z[1]*z[2]^5*z[3]^3-q^16*z[1]^2*z[2]^5*z[3]^3+q^15*z[1]^2*z[2]^6*z[3]^3+ q^14*z[1]^3*z[2]^5*z[3]^4+q^18*z[2]^6*z[3]-2*q^16*z[1]*z[2]^6*z[3]^2+q^16*z[1]* z[2]^5*z[3]^3-q^15*z[1]^2*z[2]^6*z[3]^2-q^15*z[1]^2*z[2]^5*z[3]^3+q^17*z[2]^6*z [3]-q^17*z[2]^5*z[3]^2+q^16*z[1]*z[2]^6*z[3]+q^14*z[1]^2*z[2]^5*z[3]^3-q^14*z[1 ]^2*z[2]^4*z[3]^4-q^13*z[1]^3*z[2]^5*z[3]^3+q^13*z[1]^3*z[2]^4*z[3]^4-q^12*z[1] ^3*z[2]^6*z[3]^3+q^15*z[1]*z[2]^6*z[3]-2*q^15*z[1]*z[2]^5*z[3]^2+q^15*z[1]*z[2] ^4*z[3]^3+q^14*z[1]^2*z[2]^5*z[3]^2-2*q^14*z[1]^2*z[2]^4*z[3]^3-q^13*z[1]^3*z[2 ]^3*z[3]^4+q^13*z[1]^2*z[2]^6*z[3]^2+q^13*z[1]^2*z[2]^5*z[3]^3-q^12*z[1]^3*z[2] ^5*z[3]^3+2*q^12*z[1]^3*z[2]^4*z[3]^4-q^11*z[1]^3*z[2]^6*z[3]^3-q^16*z[2]^6+q^ 16*z[2]^5*z[3]+q^15*z[1]*z[2]^4*z[3]^2+q^14*z[1]^2*z[2]^2*z[3]^4-3*q^14*z[1]*z[ 2]^5*z[3]^2+q^14*z[1]*z[2]^4*z[3]^3+q^13*z[1]^2*z[2]^5*z[3]^2-3*q^13*z[1]^2*z[2 ]^4*z[3]^3+q^12*z[1]^3*z[2]^4*z[3]^3-q^12*z[1]^3*z[2]^3*z[3]^4+2*q^12*z[1]^2*z[ 2]^6*z[3]^2+q^12*z[1]^2*z[2]^5*z[3]^3+q^11*z[1]^3*z[2]^6*z[3]^2-q^11*z[1]^3*z[2 ]^5*z[3]^3+q^11*z[1]^3*z[2]^4*z[3]^4+2*q^15*z[2]^5*z[3]-q^15*z[2]^4*z[3]^2+2*q^ 14*z[1]*z[2]^4*z[3]^2+q^13*z[1]^2*z[2]^2*z[3]^4-q^13*z[1]*z[2]^6*z[3]-2*q^13*z[ 1]*z[2]^5*z[3]^2-q^12*z[1]^2*z[2]^6*z[3]+q^12*z[1]^2*z[2]^5*z[3]^2-2*q^12*z[1]^ 2*z[2]^4*z[3]^3-q^12*z[1]^2*z[2]^3*z[3]^4+q^11*z[1]^3*z[2]^4*z[3]^3-q^11*z[1]^3 *z[2]^3*z[3]^4+q^11*z[1]^2*z[2]^6*z[3]^2+q^11*z[1]^2*z[2]^5*z[3]^3+q^10*z[1]^3* z[2]^6*z[3]^2-q^10*z[1]^3*z[2]^5*z[3]^3+q^10*z[1]^3*z[2]^4*z[3]^4-q^15*z[2]^4*z [3]-q^14*z[1]*z[2]*z[3]^4+q^14*z[2]^5*z[3]+q^13*z[1]*z[2]^5*z[3]+q^13*z[1]*z[2] ^4*z[3]^2+q^13*z[1]*z[2]^3*z[3]^3+q^12*z[1]^2*z[2]^4*z[3]^2-2*q^12*z[1]^2*z[2]^ 3*z[3]^3+q^12*z[1]^2*z[2]^2*z[3]^4-q^12*z[1]*z[2]^6*z[3]-2*q^12*z[1]*z[2]^5*z[3 ]^2-2*q^11*z[1]^2*z[2]^6*z[3]+q^11*z[1]^2*z[2]^5*z[3]^2-q^11*z[1]^2*z[2]^4*z[3] ^3-q^10*z[1]^3*z[2]^5*z[3]^2+q^10*z[1]^3*z[2]^4*z[3]^3+q^9*z[1]^3*z[2]^6*z[3]^2 -q^9*z[1]^3*z[2]^5*z[3]^3-q^14*z[2]^5-q^13*z[1]*z[2]^4*z[3]+q^13*z[1]*z[2]^3*z[ 3]^2+q^13*z[2]^5*z[3]+q^12*z[1]^2*z[2]^2*z[3]^3+q^12*z[1]*z[2]^6+q^12*z[1]*z[2] ^5*z[3]-q^12*z[1]*z[2]^4*z[3]^2+q^12*z[1]*z[2]^3*z[3]^3+2*q^11*z[1]^2*z[2]^4*z[ 3]^2-4*q^11*z[1]^2*z[2]^3*z[3]^3+q^11*z[1]^2*z[2]^2*z[3]^4-q^11*z[1]*z[2]^5*z[3 ]^2-q^10*z[1]^3*z[2]^2*z[3]^4-2*q^10*z[1]^2*z[2]^6*z[3]+q^10*z[1]^2*z[2]^5*z[3] ^2-q^9*z[1]^3*z[2]^5*z[3]^2+q^9*z[1]^3*z[2]^4*z[3]^3-q^13*z[1]*z[2]*z[3]^3-q^13 *z[2]^5+q^13*z[2]^4*z[3]-q^13*z[2]^3*z[3]^2-2*q^12*z[1]*z[2]^4*z[3]+3*q^12*z[1] *z[2]^3*z[3]^2+q^12*z[2]^5*z[3]-q^11*z[1]^2*z[2]^3*z[3]^2+2*q^11*z[1]^2*z[2]^2* z[3]^3+q^11*z[1]*z[2]^6+q^11*z[1]*z[2]^5*z[3]-q^11*z[1]*z[2]^4*z[3]^2+3*q^10*z[ 1]^2*z[2]^4*z[3]^2-4*q^10*z[1]^2*z[2]^3*z[3]^3+q^9*z[1]^3*z[2]^3*z[3]^3-q^9*z[1 ]^3*z[2]^2*z[3]^4-q^9*z[1]^2*z[2]^6*z[3]+q^9*z[1]^2*z[2]^4*z[3]^3-2*q^8*z[1]^3* z[2]^5*z[3]^2+q^8*z[1]^3*z[2]^3*z[3]^4+q^13*z[2]^4-q^13*z[2]^3*z[3]-q^12*z[1]*z [2]*z[3]^3-q^12*z[2]^5+q^12*z[2]^4*z[3]-2*q^11*z[1]*z[2]^4*z[3]+3*q^11*z[1]*z[2 ]^3*z[3]^2+q^11*z[1]*z[2]^2*z[3]^3-2*q^10*z[1]^2*z[2]^3*z[3]^2+2*q^10*z[1]^2*z[ 2]^2*z[3]^3+q^10*z[1]^2*z[2]*z[3]^4+q^10*z[1]*z[2]^6+q^10*z[1]*z[2]^5*z[3]-2*q^ 10*z[1]*z[2]^4*z[3]^2+4*q^9*z[1]^2*z[2]^4*z[3]^2-4*q^9*z[1]^2*z[2]^3*z[3]^3+q^8 *z[1]^3*z[2]^3*z[3]^3-q^8*z[1]^3*z[2]^2*z[3]^4+q^7*z[1]^3*z[2]^6*z[3]-q^7*z[1]^ 3*z[2]^5*z[3]^2+q^13*z[3]^3-q^12*z[2]^3*z[3]+q^11*z[1]*z[2]^2*z[3]^2-2*q^11*z[1 ]*z[2]*z[3]^3-q^11*z[2]^5+q^11*z[2]^4*z[3]+q^10*z[1]*z[2]^5-2*q^10*z[1]*z[2]^4* z[3]+2*q^10*z[1]*z[2]^3*z[3]^2+q^10*z[1]*z[2]^2*z[3]^3+q^9*z[1]^2*z[2]^4*z[3]-3 *q^9*z[1]^2*z[2]^3*z[3]^2+q^9*z[1]^2*z[2]^2*z[3]^3+q^9*z[1]^2*z[2]*z[3]^4+q^9*z [1]*z[2]^5*z[3]-q^9*z[1]*z[2]^4*z[3]^2-q^8*z[1]^2*z[2]^5*z[3]+4*q^8*z[1]^2*z[2] ^4*z[3]^2-2*q^8*z[1]^2*z[2]^3*z[3]^3+q^7*z[1]^3*z[2]^3*z[3]^3-q^7*z[1]^3*z[2]^2 *z[3]^4+q^6*z[1]^3*z[2]^6*z[3]-q^6*z[1]^3*z[2]^5*z[3]^2-q^11*z[2]^2*z[3]^2-q^10 *z[1]*z[2]^3*z[3]+3*q^10*z[1]*z[2]^2*z[3]^2-2*q^10*z[1]*z[2]*z[3]^3-q^10*z[2]^5 +q^10*z[2]^4*z[3]+q^9*z[1]^2*z[2]*z[3]^3+q^9*z[1]*z[2]^5-2*q^9*z[1]*z[2]^4*z[3] +q^9*z[1]*z[2]^3*z[3]^2+2*q^8*z[1]^2*z[2]^4*z[3]-3*q^8*z[1]^2*z[2]^3*z[3]^2+q^8 *z[1]^2*z[2]^2*z[3]^3-q^7*z[1]^2*z[2]^6-2*q^7*z[1]^2*z[2]^5*z[3]+2*q^7*z[1]^2*z [2]^4*z[3]^2+q^5*z[1]^3*z[2]^6*z[3]+q^11*z[2]^3-q^11*z[2]^2*z[3]-q^10*z[1]*z[2] *z[3]^2-q^10*z[2]^4-q^9*z[1]*z[2]^4-2*q^9*z[1]*z[2]^3*z[3]+4*q^9*z[1]*z[2]^2*z[ 3]^2-q^9*z[1]*z[2]*z[3]^3-q^8*z[1]^2*z[2]^2*z[3]^2+q^8*z[1]^2*z[2]*z[3]^3+2*q^8 *z[1]*z[2]^5-q^8*z[1]*z[2]^3*z[3]^2+3*q^7*z[1]^2*z[2]^4*z[3]-q^7*z[1]^2*z[2]^3* z[3]^2-q^7*z[1]^2*z[2]^2*z[3]^3+q^6*z[1]^3*z[2]^2*z[3]^3-q^6*z[1]^2*z[2]^6-2*q^ 6*z[1]^2*z[2]^5*z[3]+q^6*z[1]^2*z[2]^4*z[3]^2-q^5*z[1]^3*z[2]^5*z[3]+q^4*z[1]^3 *z[2]^6*z[3]+q^10*z[2]^3-q^10*z[2]^2*z[3]+q^9*z[1]*z[2]^2*z[3]-q^9*z[1]*z[2]*z[ 3]^2-q^9*z[1]*z[3]^3-q^9*z[2]^4+q^9*z[2]^3*z[3]-q^8*z[1]*z[2]^4-4*q^8*z[1]*z[2] ^3*z[3]+4*q^8*z[1]*z[2]^2*z[3]^2-2*q^7*z[1]^2*z[2]^2*z[3]^2+q^7*z[1]^2*z[2]*z[3 ]^3+2*q^7*z[1]*z[2]^5+q^7*z[1]*z[2]^4*z[3]-q^7*z[1]*z[2]^3*z[3]^2+3*q^6*z[1]^2* z[2]^4*z[3]-q^6*z[1]^2*z[2]^2*z[3]^3+q^5*z[1]^3*z[2]^2*z[3]^3-q^5*z[1]^3*z[2]*z [3]^4-q^5*z[1]^2*z[2]^6-2*q^5*z[1]^2*z[2]^5*z[3]-q^4*z[1]^3*z[2]^5*z[3]+q^10*z[ 3]^2+2*q^9*z[2]^3-q^9*z[2]^2*z[3]-q^9*z[2]*z[3]^2+2*q^8*z[1]*z[2]^2*z[3]-q^8*z[ 1]*z[2]*z[3]^2-q^8*z[1]*z[3]^3-2*q^8*z[2]^4+q^8*z[2]^3*z[3]-q^7*z[1]*z[2]^4-5*q ^7*z[1]*z[2]^3*z[3]+4*q^7*z[1]*z[2]^2*z[3]^2-3*q^6*z[1]^2*z[2]^2*z[3]^2+2*q^6*z [1]^2*z[2]*z[3]^3+2*q^6*z[1]*z[2]^5+q^6*z[1]*z[2]^4*z[3]+3*q^5*z[1]^2*z[2]^4*z[ 3]-q^4*z[1]^2*z[2]^5*z[3]-q^3*z[1]^3*z[2]^5*z[3]-q^9*z[2]*z[3]+q^9*z[3]^2+2*q^8 *z[2]^3-q^8*z[2]^2*z[3]-q^7*z[1]*z[2]^3+3*q^7*z[1]*z[2]^2*z[3]-q^7*z[1]*z[2]*z[ 3]^2-q^7*z[2]^4-4*q^6*z[1]*z[2]^3*z[3]+q^6*z[1]*z[2]^2*z[3]^2-q^5*z[1]^2*z[2]^2 *z[3]^2+q^5*z[1]^2*z[2]*z[3]^3+q^5*z[1]*z[2]^5+q^5*z[1]*z[2]^4*z[3]+2*q^4*z[1]^ 2*z[2]^4*z[3]-q^8*z[2]*z[3]+q^8*z[3]^2+q^7*z[2]^3-q^6*z[1]*z[2]^3+2*q^6*z[1]*z[ 2]^2*z[3]-q^6*z[1]*z[2]*z[3]^2-q^6*z[2]^4-q^5*z[1]^2*z[2]*z[3]^2-2*q^5*z[1]*z[2 ]^3*z[3]+q^4*z[1]^2*z[2]^4+q^3*z[1]^3*z[2]*z[3]^3-q^3*z[1]^2*z[2]^5+q^3*z[1]^2* z[2]^4*z[3]+q*z[1]^3*z[2]^6+q^7*z[2]^2-q^7*z[2]*z[3]+q^6*z[1]*z[2]*z[3]+q^6*z[2 ]^2*z[3]-2*q^5*z[1]*z[2]^3+q^5*z[1]*z[2]*z[3]^2-2*q^4*z[1]^2*z[2]*z[3]^2+q^4*z[ 1]^2*z[3]^3+q^4*z[1]*z[2]^4-q^4*z[1]*z[2]^3*z[3]+q^3*z[1]^2*z[2]^4-q^2*z[1]^2*z [2]^5+2*q^6*z[2]^2-2*q^6*z[2]*z[3]+2*q^5*z[1]*z[2]*z[3]-q^5*z[1]*z[3]^2-2*q^4*z [1]*z[2]^3-q^3*z[1]^2*z[2]*z[3]^2+q^3*z[1]*z[2]^4+q^2*z[1]^2*z[2]^4-q*z[1]^2*z[ 2]^5-z[1]^3*z[2]^5-q^6*z[2]+2*q^5*z[2]^2-q^5*z[2]*z[3]+2*q^4*z[1]*z[2]*z[3]-q^4 *z[1]*z[3]^2-q^4*z[2]^3-2*q^3*z[1]*z[2]^3+q^2*z[1]*z[2]^4+q*z[1]^2*z[2]^4-q^5*z [2]+q^5*z[3]+q^4*z[2]^2-q^2*z[1]^2*z[3]^2-q^2*z[1]*z[2]^3+z[1]^2*z[2]^4+q^3*z[1 ]*z[3]+q^3*z[2]^2-q*z[1]*z[2]^3+q^2*z[1]*z[3]-q^3)/(q*z[2]-1)/(q^2*z[3]-1)/(q*z [3]-1)/(q*z[2]*z[3]-1)/(q^7*z[2]*z[3]-1)/(q^2*z[2]*z[3]-1)/(q^5*z[2]*z[3]-1)/(q ^3*z[2]*z[3]-1)/(q^6*z[2]*z[3]-1)/(q^4*z[2]*z[3]-1) 7 x[1] For the coeff., ---------- 6 x[2] x[3] we have: 3 21 6 4 19 2 6 4 21 6 3 (q - z[1]) (q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 20 6 3 20 5 4 19 2 5 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 2 6 4 19 6 3 20 6 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[2] z[3] 20 5 3 19 4 4 18 2 4 4 - q z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 6 3 17 2 6 3 17 2 5 4 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 3 5 4 19 6 2 18 6 2 - q z[1] z[2] z[3] + q z[2] z[3] + q z[1] z[2] z[3] 18 5 3 17 2 5 3 17 2 4 4 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 3 4 4 16 2 6 3 15 3 5 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 19 5 2 19 4 3 18 4 3 + q z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] 18 3 4 18 6 2 17 2 3 4 + q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 17 6 2 17 5 3 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 16 2 5 3 14 3 5 4 18 6 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] z[3] 18 5 2 16 2 3 4 16 6 2 + 2 q z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 16 5 3 15 3 3 4 15 2 5 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 2 6 3 13 3 6 3 13 3 5 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 3 3 17 3 3 17 2 4 - q z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 6 17 5 2 16 2 2 4 - q z[2] z[3] + 2 q z[2] z[3] - q z[1] z[2] z[3] 16 5 2 16 4 3 15 2 4 3 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 15 2 3 4 15 5 3 14 3 3 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 2 5 3 13 3 4 4 12 3 6 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 5 17 4 2 16 4 2 - q z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 16 3 3 16 6 16 5 2 + q z[1] z[2] z[3] - q z[2] z[3] + q z[2] z[3] 15 2 3 3 15 2 2 4 15 6 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 5 2 15 4 3 14 2 5 2 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 2 4 3 14 2 3 4 14 6 2 + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 5 3 13 3 4 3 13 3 3 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 13 2 6 2 13 2 5 3 12 3 4 4 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 3 6 3 17 2 3 16 2 3 + q z[1] z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] 16 4 16 5 16 4 2 + q z[1] z[2] z[3] - 2 q z[2] z[3] + 2 q z[2] z[3] 15 4 2 15 5 2 14 2 2 4 - 3 q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 14 5 2 14 4 3 13 2 5 2 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 2 4 3 12 3 4 3 12 3 3 4 + 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 2 6 2 12 2 5 3 11 3 5 3 - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 3 4 4 15 2 3 15 6 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] 15 5 15 4 2 14 2 2 3 - 3 q z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 14 4 2 14 5 2 13 2 3 3 - 2 q z[1] z[2] z[3] + q z[2] z[3] + q z[1] z[2] z[3] 13 2 2 4 13 6 13 5 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 13 4 3 12 3 2 4 12 2 5 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 2 4 3 11 3 4 3 + 5 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 3 3 4 11 2 6 2 11 2 5 3 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 3 6 2 10 3 5 3 16 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 15 3 15 3 2 14 3 2 + q z[1] z[2] z[3] + q z[2] z[3] - 2 q z[1] z[2] z[3] 14 2 3 14 5 14 4 2 + q z[1] z[2] z[3] - 2 q z[2] z[3] + q z[2] z[3] 13 2 2 3 13 4 2 13 3 3 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 2 4 2 12 2 3 3 12 2 2 4 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 6 12 5 2 11 3 3 3 + 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 3 2 4 11 2 6 11 2 5 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 11 2 4 3 10 3 5 2 10 3 4 3 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 3 14 5 14 4 14 3 2 + q z[1] z[2] z[3] + q z[2] - 2 q z[2] z[3] + q z[2] z[3] 13 4 13 3 2 13 2 3 + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 13 5 13 4 2 12 2 3 2 - 2 q z[2] z[3] + q z[2] z[3] + q z[1] z[2] z[3] 12 2 2 3 12 2 4 12 5 - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 4 2 12 3 3 11 2 4 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 2 3 3 11 6 11 5 2 + 5 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 10 3 3 3 10 3 2 4 10 2 6 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 10 2 5 2 9 3 5 2 15 3 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[3] 14 3 13 3 13 5 13 4 + q z[2] z[3] + q z[1] z[2] z[3] + q z[2] - 2 q z[2] z[3] 13 3 2 12 4 12 3 2 + q z[2] z[3] + 2 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 12 5 11 2 3 2 11 2 2 3 - 2 q z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 2 4 11 6 11 5 - q z[1] z[2] z[3] - q z[1] z[2] + 2 q z[1] z[2] z[3] 11 4 2 10 2 4 2 + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 10 2 3 3 9 3 3 3 9 3 2 4 + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 2 6 9 2 5 2 8 3 5 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 3 6 2 13 3 12 2 2 + q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 12 3 12 5 12 4 12 3 2 + 3 q z[1] z[2] z[3] + q z[2] - 3 q z[2] z[3] + q z[2] z[3] 11 2 3 11 4 11 3 2 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 11 2 3 11 5 10 2 3 2 - q z[1] z[2] z[3] - q z[2] z[3] + 3 q z[1] z[2] z[3] 10 6 10 5 10 4 2 - q z[1] z[2] + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 9 3 2 3 9 2 5 9 2 4 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 9 2 3 3 8 3 4 2 8 3 3 3 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 8 3 2 4 8 2 5 2 7 3 5 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 3 12 2 2 11 3 + q z[2] z[3] + q z[2] z[3] + q z[1] z[2] z[3] 11 2 2 11 3 11 5 - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[2] 11 4 10 2 2 2 10 2 3 - 3 q z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 5 10 4 10 3 2 - q z[1] z[2] + 4 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 9 2 4 9 2 3 2 9 6 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] 9 4 2 8 3 2 3 8 2 5 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 2 4 2 8 2 3 3 7 3 4 2 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 3 3 3 7 2 6 7 2 5 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 3 6 6 3 5 2 12 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 12 2 11 2 11 3 11 4 - q z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[3] + q z[2] 11 2 2 10 3 10 2 2 + q z[2] z[3] + 2 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 10 5 10 4 9 2 2 2 9 5 + q z[2] - 3 q z[2] z[3] + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] 9 4 8 2 4 8 5 + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 4 2 7 3 2 3 7 3 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 2 5 7 2 4 2 6 3 4 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 3 6 11 3 11 2 10 2 - q z[1] z[2] z[3] - q z[2] + 2 q z[2] z[3] - q z[1] z[2] z[3] 10 3 10 4 10 3 9 3 + q z[1] z[3] + q z[2] - q z[2] z[3] + 4 q z[1] z[2] z[3] 9 2 2 9 5 9 4 - 4 q z[1] z[2] z[3] + q z[2] - q z[2] z[3] 8 2 2 2 8 2 3 8 5 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] 8 4 7 2 4 7 2 3 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 2 2 3 7 5 6 3 3 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 3 2 3 6 2 6 6 2 5 - 2 q z[1] z[2] z[3] + q z[1] z[2] + q z[1] z[2] z[3] 6 2 4 2 5 3 4 2 4 3 6 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 2 10 3 10 2 10 2 - q z[3] - q z[2] + 2 q z[2] z[3] + q z[2] z[3] 9 2 9 2 9 4 9 3 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 2 q z[2] - 2 q z[2] z[3] 8 2 2 8 3 8 2 2 + q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 8 4 7 2 3 7 2 2 2 - q z[2] z[3] - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 7 2 3 7 5 7 3 2 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] + q z[1] z[2] z[3] 6 2 4 6 2 3 2 5 3 3 2 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 3 2 3 5 2 6 5 2 5 - q z[1] z[2] z[3] + q z[1] z[2] + 2 q z[1] z[2] z[3] 10 10 2 9 3 9 2 + q z[2] z[3] - q z[3] - q z[2] + q z[2] z[3] 8 2 8 4 8 3 7 2 2 - q z[1] z[2] z[3] + 2 q z[2] - q z[2] z[3] + q z[1] z[2] z[3] 7 4 7 3 7 2 2 - q z[1] z[2] + 5 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 6 2 3 6 2 2 2 6 5 - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] 5 3 3 5 2 5 5 2 4 - q z[1] z[2] z[3] + q z[1] z[2] - 2 q z[1] z[2] z[3] 5 2 3 2 4 3 3 2 4 2 6 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] 4 2 5 9 2 9 8 + q z[1] z[2] z[3] - q z[2] + 2 q z[2] z[3] - q z[1] z[2] z[3] 8 2 8 3 7 3 7 4 7 3 - q z[1] z[3] - q z[2] + q z[1] z[2] + 2 q z[2] - q z[2] z[3] 6 2 2 6 2 3 6 4 + 2 q z[1] z[2] z[3] - q z[1] z[3] - q z[1] z[2] 6 3 5 2 3 5 5 + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] 5 4 4 3 2 2 4 3 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 4 2 5 8 2 8 7 + q z[1] z[2] - q z[2] + q z[2] z[3] - q z[1] z[2] z[3] 6 3 6 2 6 2 6 4 + q z[1] z[2] + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] 5 2 2 5 2 2 5 4 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] 5 3 4 2 3 4 2 2 2 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 4 5 3 3 2 2 3 2 5 8 - q z[1] z[2] + q z[1] z[2] z[3] + q z[1] z[2] + q z[3] 7 2 7 6 6 2 - 2 q z[2] + q z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[3] 6 3 6 2 5 3 5 2 + q z[2] - q z[2] z[3] + q z[1] z[2] + 3 q z[1] z[2] z[3] 5 4 4 2 2 4 2 2 + q z[2] - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 4 4 2 2 5 3 6 6 2 - 2 q z[1] z[2] + q z[1] z[2] - z[1] z[2] - 2 q z[2] 6 5 2 5 5 3 + q z[2] z[3] + q z[1] z[2] - 3 q z[1] z[2] z[3] + q z[2] 4 2 2 4 3 4 2 + q z[1] z[3] + q z[1] z[2] + 2 q z[1] z[2] z[3] 3 2 2 3 4 2 3 2 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] + q z[1] z[2] z[3] 2 5 5 2 4 2 4 3 + q z[1] z[2] - 2 q z[2] + q z[1] z[2] + q z[2] 3 2 3 2 2 2 4 2 5 - q z[1] z[2] z[3] + q z[1] z[3] - q z[1] z[2] + z[1] z[2] 4 4 2 3 2 3 3 3 - 2 q z[1] z[3] - q z[2] + q z[1] z[2] + q z[1] z[2] z[3] + q z[2] 2 2 4 4 3 - 2 q z[1] z[2] z[3] - q z[1] z[2] - q z[2] + q z[1] z[2] 3 4 3 2 2 - q z[1] z[3] + q - q z[2] + q z[1] z[2] - q z[1] z[3] + q z[1]) 2 / 3 2 (-1 + z[1]) (q - z[1]) (-z[1] + q) / ((q z[3] - 1) (q z[3] - 1) / 6 4 7 2 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) 3 5 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[3] - 1)) and in Maple input notation: (q^3-z[1])*(q^21*z[1]*z[2]^6*z[3]^4+q^19*z[1]^2*z[2]^6*z[3]^4-q^21*z[2]^6*z[3]^ 3-q^20*z[1]*z[2]^6*z[3]^3+q^20*z[1]*z[2]^5*z[3]^4-q^19*z[1]^2*z[2]^5*z[3]^4+q^ 18*z[1]^2*z[2]^6*z[3]^4-2*q^19*z[1]*z[2]^6*z[3]^3+q^20*z[2]^6*z[3]^2-q^20*z[2]^ 5*z[3]^3+q^19*z[1]*z[2]^4*z[3]^4-q^18*z[1]^2*z[2]^4*z[3]^4-2*q^18*z[1]*z[2]^6*z [3]^3-q^17*z[1]^2*z[2]^6*z[3]^3+q^17*z[1]^2*z[2]^5*z[3]^4-q^16*z[1]^3*z[2]^5*z[ 3]^4+q^19*z[2]^6*z[3]^2+q^18*z[1]*z[2]^6*z[3]^2-2*q^18*z[1]*z[2]^5*z[3]^3+q^17* z[1]^2*z[2]^5*z[3]^3-q^17*z[1]^2*z[2]^4*z[3]^4+q^16*z[1]^3*z[2]^4*z[3]^4-q^16*z [1]^2*z[2]^6*z[3]^3-q^15*z[1]^3*z[2]^5*z[3]^4+q^19*z[2]^5*z[3]^2-q^19*z[2]^4*z[ 3]^3+q^18*z[1]*z[2]^4*z[3]^3+q^18*z[1]*z[2]^3*z[3]^4+q^18*z[2]^6*z[3]^2-q^17*z[ 1]^2*z[2]^3*z[3]^4+2*q^17*z[1]*z[2]^6*z[3]^2-3*q^17*z[1]*z[2]^5*z[3]^3+2*q^16*z [1]^2*z[2]^5*z[3]^3-q^14*z[1]^3*z[2]^5*z[3]^4-q^18*z[2]^6*z[3]+2*q^18*z[2]^5*z[ 3]^2-q^16*z[1]^2*z[2]^3*z[3]^4+2*q^16*z[1]*z[2]^6*z[3]^2-q^16*z[1]*z[2]^5*z[3]^ 3+q^15*z[1]^3*z[2]^3*z[3]^4+q^15*z[1]^2*z[2]^5*z[3]^3+q^14*z[1]^2*z[2]^6*z[3]^3 +q^13*z[1]^3*z[2]^6*z[3]^3-q^13*z[1]^3*z[2]^5*z[3]^4-q^18*z[2]^3*z[3]^3+q^17*z[ 1]*z[2]^3*z[3]^3+q^17*z[1]*z[2]^2*z[3]^4-q^17*z[2]^6*z[3]+2*q^17*z[2]^5*z[3]^2- q^16*z[1]^2*z[2]^2*z[3]^4+q^16*z[1]*z[2]^5*z[3]^2-2*q^16*z[1]*z[2]^4*z[3]^3+3*q ^15*z[1]^2*z[2]^4*z[3]^3-q^15*z[1]^2*z[2]^3*z[3]^4-q^15*z[1]*z[2]^5*z[3]^3+q^14 *z[1]^3*z[2]^3*z[3]^4+q^14*z[1]^2*z[2]^5*z[3]^3-q^13*z[1]^3*z[2]^4*z[3]^4+q^12* z[1]^3*z[2]^6*z[3]^3-q^17*z[2]^5*z[3]+q^17*z[2]^4*z[3]^2-q^16*z[1]*z[2]^4*z[3]^ 2+q^16*z[1]*z[2]^3*z[3]^3-q^16*z[2]^6*z[3]+q^16*z[2]^5*z[3]^2-q^15*z[1]^2*z[2]^ 3*z[3]^3-q^15*z[1]^2*z[2]^2*z[3]^4-q^15*z[1]*z[2]^6*z[3]+3*q^15*z[1]*z[2]^5*z[3 ]^2-q^15*z[1]*z[2]^4*z[3]^3-q^14*z[1]^2*z[2]^5*z[3]^2+4*q^14*z[1]^2*z[2]^4*z[3] ^3-q^14*z[1]^2*z[2]^3*z[3]^4-q^14*z[1]*z[2]^6*z[3]^2-q^14*z[1]*z[2]^5*z[3]^3-q^ 13*z[1]^3*z[2]^4*z[3]^3+2*q^13*z[1]^3*z[2]^3*z[3]^4-2*q^13*z[1]^2*z[2]^6*z[3]^2 +q^13*z[1]^2*z[2]^5*z[3]^3-q^12*z[1]^3*z[2]^4*z[3]^4+q^11*z[1]^3*z[2]^6*z[3]^3- q^17*z[2]^2*z[3]^3+q^16*z[1]*z[2]^2*z[3]^3+q^16*z[1]*z[2]*z[3]^4-2*q^16*z[2]^5* z[3]+2*q^16*z[2]^4*z[3]^2-3*q^15*z[1]*z[2]^4*z[3]^2+q^15*z[2]^5*z[3]^2-q^14*z[1 ]^2*z[2]^2*z[3]^4+2*q^14*z[1]*z[2]^5*z[3]^2-q^14*z[1]*z[2]^4*z[3]^3-q^13*z[1]^2 *z[2]^5*z[3]^2+5*q^13*z[1]^2*z[2]^4*z[3]^3-q^12*z[1]^3*z[2]^4*z[3]^3+q^12*z[1]^ 3*z[2]^3*z[3]^4-3*q^12*z[1]^2*z[2]^6*z[3]^2-q^12*z[1]^2*z[2]^5*z[3]^3+q^11*z[1] ^3*z[2]^5*z[3]^3-q^11*z[1]^3*z[2]^4*z[3]^4+q^15*z[1]*z[2]^2*z[3]^3+q^15*z[2]^6-\ 3*q^15*z[2]^5*z[3]+q^15*z[2]^4*z[3]^2-q^14*z[1]^2*z[2]^2*z[3]^3-2*q^14*z[1]*z[2 ]^4*z[3]^2+q^14*z[2]^5*z[3]^2+q^13*z[1]^2*z[2]^3*z[3]^3-2*q^13*z[1]^2*z[2]^2*z[ 3]^4+q^13*z[1]*z[2]^6*z[3]+2*q^13*z[1]*z[2]^5*z[3]^2-q^13*z[1]*z[2]^4*z[3]^3+q^ 12*z[1]^3*z[2]^2*z[3]^4-2*q^12*z[1]^2*z[2]^5*z[3]^2+5*q^12*z[1]^2*z[2]^4*z[3]^3 -2*q^11*z[1]^3*z[2]^4*z[3]^3+q^11*z[1]^3*z[2]^3*z[3]^4-2*q^11*z[1]^2*z[2]^6*z[3 ]^2-q^11*z[1]^2*z[2]^5*z[3]^3-q^10*z[1]^3*z[2]^6*z[3]^2+q^10*z[1]^3*z[2]^5*z[3] ^3-q^16*z[2]*z[3]^3+q^15*z[1]*z[2]*z[3]^3+q^15*z[2]^3*z[3]^2-2*q^14*z[1]*z[2]^3 *z[3]^2+q^14*z[1]*z[2]^2*z[3]^3-2*q^14*z[2]^5*z[3]+q^14*z[2]^4*z[3]^2-q^13*z[1] ^2*z[2]^2*z[3]^3-2*q^13*z[1]*z[2]^4*z[3]^2-q^13*z[1]*z[2]^3*z[3]^3-q^12*z[1]^2* z[2]^4*z[3]^2+4*q^12*z[1]^2*z[2]^3*z[3]^3-q^12*z[1]^2*z[2]^2*z[3]^4+2*q^12*z[1] *z[2]^6*z[3]+3*q^12*z[1]*z[2]^5*z[3]^2-q^11*z[1]^3*z[2]^3*z[3]^3+q^11*z[1]^3*z[ 2]^2*z[3]^4+q^11*z[1]^2*z[2]^6*z[3]-4*q^11*z[1]^2*z[2]^5*z[3]^2+2*q^11*z[1]^2*z [2]^4*z[3]^3+q^10*z[1]^3*z[2]^5*z[3]^2-q^10*z[1]^3*z[2]^4*z[3]^3+q^14*z[1]*z[2] *z[3]^3+q^14*z[2]^5-2*q^14*z[2]^4*z[3]+q^14*z[2]^3*z[3]^2+q^13*z[1]*z[2]^4*z[3] -4*q^13*z[1]*z[2]^3*z[3]^2+2*q^13*z[1]*z[2]^2*z[3]^3-2*q^13*z[2]^5*z[3]+q^13*z[ 2]^4*z[3]^2+q^12*z[1]^2*z[2]^3*z[3]^2-3*q^12*z[1]^2*z[2]^2*z[3]^3-q^12*z[1]^2*z [2]*z[3]^4+q^12*z[1]*z[2]^5*z[3]-q^12*z[1]*z[2]^4*z[3]^2-q^12*z[1]*z[2]^3*z[3]^ 3-q^11*z[1]^2*z[2]^4*z[3]^2+5*q^11*z[1]^2*z[2]^3*z[3]^3+q^11*z[1]*z[2]^6*z[3]+2 *q^11*z[1]*z[2]^5*z[3]^2-2*q^10*z[1]^3*z[2]^3*z[3]^3+q^10*z[1]^3*z[2]^2*z[3]^4+ 2*q^10*z[1]^2*z[2]^6*z[3]-3*q^10*z[1]^2*z[2]^5*z[3]^2+q^9*z[1]^3*z[2]^5*z[3]^2- q^15*z[3]^3+q^14*z[2]^3*z[3]+q^13*z[1]*z[2]*z[3]^3+q^13*z[2]^5-2*q^13*z[2]^4*z[ 3]+q^13*z[2]^3*z[3]^2+2*q^12*z[1]*z[2]^4*z[3]-6*q^12*z[1]*z[2]^3*z[3]^2-2*q^12* z[2]^5*z[3]+2*q^11*z[1]^2*z[2]^3*z[3]^2-q^11*z[1]^2*z[2]^2*z[3]^3-q^11*z[1]^2*z [2]*z[3]^4-q^11*z[1]*z[2]^6+2*q^11*z[1]*z[2]^5*z[3]+2*q^11*z[1]*z[2]^4*z[3]^2-4 *q^10*z[1]^2*z[2]^4*z[3]^2+4*q^10*z[1]^2*z[2]^3*z[3]^3-2*q^9*z[1]^3*z[2]^3*z[3] ^3+q^9*z[1]^3*z[2]^2*z[3]^4+q^9*z[1]^2*z[2]^6*z[3]-q^9*z[1]^2*z[2]^5*z[3]^2+q^8 *z[1]^3*z[2]^5*z[3]^2+q^7*z[1]^3*z[2]^6*z[3]^2+q^13*z[2]^3*z[3]-q^12*z[1]*z[2]^ 2*z[3]^2+3*q^12*z[1]*z[2]*z[3]^3+q^12*z[2]^5-3*q^12*z[2]^4*z[3]+q^12*z[2]^3*z[3 ]^2-q^11*z[1]^2*z[2]*z[3]^3+2*q^11*z[1]*z[2]^4*z[3]-6*q^11*z[1]*z[2]^3*z[3]^2-q ^11*z[1]*z[2]^2*z[3]^3-q^11*z[2]^5*z[3]+3*q^10*z[1]^2*z[2]^3*z[3]^2-q^10*z[1]*z [2]^6+q^10*z[1]*z[2]^5*z[3]+3*q^10*z[1]*z[2]^4*z[3]^2-q^9*z[1]^3*z[2]^2*z[3]^3+ q^9*z[1]^2*z[2]^5*z[3]-5*q^9*z[1]^2*z[2]^4*z[3]^2+2*q^9*z[1]^2*z[2]^3*z[3]^3+q^ 8*z[1]^3*z[2]^4*z[3]^2-2*q^8*z[1]^3*z[2]^3*z[3]^3+q^8*z[1]^3*z[2]^2*z[3]^4-q^8* z[1]^2*z[2]^5*z[3]^2+q^7*z[1]^3*z[2]^5*z[3]^2+q^12*z[2]^3*z[3]+q^12*z[2]^2*z[3] ^2+q^11*z[1]*z[2]^3*z[3]-4*q^11*z[1]*z[2]^2*z[3]^2+2*q^11*z[1]*z[2]*z[3]^3+q^11 *z[2]^5-3*q^11*z[2]^4*z[3]+q^10*z[1]^2*z[2]^2*z[3]^2-q^10*z[1]^2*z[2]*z[3]^3-q^ 10*z[1]*z[2]^5+4*q^10*z[1]*z[2]^4*z[3]-3*q^10*z[1]*z[2]^3*z[3]^2-q^9*z[1]^2*z[2 ]^4*z[3]+2*q^9*z[1]^2*z[2]^3*z[3]^2-q^9*z[1]*z[2]^6+q^9*z[1]*z[2]^4*z[3]^2-q^8* z[1]^3*z[2]^2*z[3]^3+q^8*z[1]^2*z[2]^5*z[3]-3*q^8*z[1]^2*z[2]^4*z[3]^2+q^8*z[1] ^2*z[2]^3*z[3]^3+q^7*z[1]^3*z[2]^4*z[3]^2-q^7*z[1]^3*z[2]^3*z[3]^3-q^7*z[1]^2*z [2]^6*z[3]-q^7*z[1]^2*z[2]^5*z[3]^2-q^6*z[1]^3*z[2]^6*z[3]+q^6*z[1]^3*z[2]^5*z[ 3]^2+q^12*z[2]^2*z[3]-q^12*z[2]*z[3]^2+q^11*z[1]*z[2]*z[3]^2+q^11*z[1]*z[3]^3+q ^11*z[2]^4+q^11*z[2]^2*z[3]^2+2*q^10*z[1]*z[2]^3*z[3]-6*q^10*z[1]*z[2]^2*z[3]^2 +q^10*z[2]^5-3*q^10*z[2]^4*z[3]+3*q^9*z[1]^2*z[2]^2*z[3]^2-2*q^9*z[1]*z[2]^5+3* q^9*z[1]*z[2]^4*z[3]-2*q^8*z[1]^2*z[2]^4*z[3]+q^8*z[1]*z[2]^5*z[3]+q^8*z[1]*z[2 ]^4*z[3]^2-2*q^7*z[1]^3*z[2]^2*z[3]^3+q^7*z[1]^3*z[2]*z[3]^4+q^7*z[1]^2*z[2]^5* z[3]-2*q^7*z[1]^2*z[2]^4*z[3]^2+q^6*z[1]^3*z[2]^4*z[3]^2-q^5*z[1]^3*z[2]^6*z[3] -q^11*z[2]^3+2*q^11*z[2]^2*z[3]-q^10*z[1]*z[2]^2*z[3]+q^10*z[1]*z[3]^3+q^10*z[2 ]^4-q^10*z[2]^3*z[3]+4*q^9*z[1]*z[2]^3*z[3]-4*q^9*z[1]*z[2]^2*z[3]^2+q^9*z[2]^5 -q^9*z[2]^4*z[3]+3*q^8*z[1]^2*z[2]^2*z[3]^2-q^8*z[1]^2*z[2]*z[3]^3-2*q^8*z[1]*z [2]^5+q^8*z[1]*z[2]^4*z[3]-2*q^7*z[1]^2*z[2]^4*z[3]-q^7*z[1]^2*z[2]^3*z[3]^2+q^ 7*z[1]^2*z[2]^2*z[3]^3+q^7*z[1]*z[2]^5*z[3]+q^6*z[1]^3*z[2]^3*z[3]^2-2*q^6*z[1] ^3*z[2]^2*z[3]^3+q^6*z[1]^2*z[2]^6+q^6*z[1]^2*z[2]^5*z[3]-q^6*z[1]^2*z[2]^4*z[3 ]^2+q^5*z[1]^3*z[2]^4*z[3]^2-q^4*z[1]^3*z[2]^6*z[3]-q^11*z[3]^2-q^10*z[2]^3+2*q ^10*z[2]^2*z[3]+q^10*z[2]*z[3]^2-q^9*z[1]*z[2]^2*z[3]-2*q^9*z[1]*z[2]*z[3]^2+2* q^9*z[2]^4-2*q^9*z[2]^3*z[3]+q^8*z[1]^2*z[2]*z[3]^2+6*q^8*z[1]*z[2]^3*z[3]-3*q^ 8*z[1]*z[2]^2*z[3]^2-q^8*z[2]^4*z[3]-q^7*z[1]^2*z[2]^3*z[3]+4*q^7*z[1]^2*z[2]^2 *z[3]^2-2*q^7*z[1]^2*z[2]*z[3]^3-2*q^7*z[1]*z[2]^5+q^7*z[1]*z[2]^3*z[3]^2-2*q^6 *z[1]^2*z[2]^4*z[3]-2*q^6*z[1]^2*z[2]^3*z[3]^2+q^5*z[1]^3*z[2]^3*z[3]^2-q^5*z[1 ]^3*z[2]^2*z[3]^3+q^5*z[1]^2*z[2]^6+2*q^5*z[1]^2*z[2]^5*z[3]+q^10*z[2]*z[3]-q^ 10*z[3]^2-q^9*z[2]^3+q^9*z[2]^2*z[3]-q^8*z[1]*z[2]^2*z[3]+2*q^8*z[2]^4-q^8*z[2] ^3*z[3]+q^7*z[1]^2*z[2]*z[3]^2-q^7*z[1]*z[2]^4+5*q^7*z[1]*z[2]^3*z[3]-2*q^7*z[1 ]*z[2]^2*z[3]^2-2*q^6*z[1]^2*z[2]^3*z[3]+3*q^6*z[1]^2*z[2]^2*z[3]^2-2*q^6*z[1]* z[2]^5-q^5*z[1]^3*z[2]*z[3]^3+q^5*z[1]^2*z[2]^5-2*q^5*z[1]^2*z[2]^4*z[3]-q^5*z[ 1]^2*z[2]^3*z[3]^2+q^4*z[1]^3*z[2]^3*z[3]^2+q^4*z[1]^2*z[2]^6+q^4*z[1]^2*z[2]^5 *z[3]-q^9*z[2]^2+2*q^9*z[2]*z[3]-q^8*z[1]*z[2]*z[3]-q^8*z[1]*z[3]^2-q^8*z[2]^3+ q^7*z[1]*z[2]^3+2*q^7*z[2]^4-q^7*z[2]^3*z[3]+2*q^6*z[1]^2*z[2]*z[3]^2-q^6*z[1]^ 2*z[3]^3-q^6*z[1]*z[2]^4+4*q^6*z[1]*z[2]^3*z[3]-2*q^5*z[1]^2*z[2]^3*z[3]-2*q^5* z[1]*z[2]^5-q^5*z[1]*z[2]^4*z[3]+q^4*z[1]^3*z[2]^2*z[3]^2-q^4*z[1]^3*z[2]*z[3]^ 3+q^4*z[1]^2*z[2]^5-q^8*z[2]^2+q^8*z[2]*z[3]-q^7*z[1]*z[2]*z[3]+q^6*z[1]*z[2]^3 +q^6*z[1]*z[2]^2*z[3]-q^6*z[1]*z[2]*z[3]^2+q^6*z[2]^4-q^5*z[1]^2*z[2]^2*z[3]+4* q^5*z[1]^2*z[2]*z[3]^2-2*q^5*z[1]*z[2]^4+2*q^5*z[1]*z[2]^3*z[3]-2*q^4*z[1]^2*z[ 2]^3*z[3]-q^4*z[1]^2*z[2]^2*z[3]^2-q^4*z[1]*z[2]^5+q^3*z[1]^3*z[2]^2*z[3]^2+q^3 *z[1]^2*z[2]^5+q^8*z[3]-2*q^7*z[2]^2+q^7*z[2]*z[3]-2*q^6*z[1]*z[2]*z[3]+q^6*z[1 ]*z[3]^2+q^6*z[2]^3-q^6*z[2]^2*z[3]+q^5*z[1]*z[2]^3+3*q^5*z[1]*z[2]^2*z[3]+q^5* z[2]^4-2*q^4*z[1]^2*z[2]^2*z[3]+2*q^4*z[1]^2*z[2]*z[3]^2-2*q^4*z[1]*z[2]^4+q^2* z[1]^2*z[2]^5-z[1]^3*z[2]^6-2*q^6*z[2]^2+q^6*z[2]*z[3]+q^5*z[1]*z[2]^2-3*q^5*z[ 1]*z[2]*z[3]+q^5*z[2]^3+q^4*z[1]^2*z[3]^2+q^4*z[1]*z[2]^3+2*q^4*z[1]*z[2]^2*z[3 ]-2*q^3*z[1]^2*z[2]^2*z[3]-2*q^3*z[1]*z[2]^4+q^2*z[1]^3*z[2]*z[3]^2+q*z[1]^2*z[ 2]^5-2*q^5*z[2]^2+q^4*z[1]*z[2]^2+q^4*z[2]^3-q^3*z[1]^2*z[2]*z[3]+q^3*z[1]^2*z[ 3]^2-q^2*z[1]*z[2]^4+z[1]^2*z[2]^5-2*q^4*z[1]*z[3]-q^4*z[2]^2+q^3*z[1]*z[2]^2+q ^3*z[1]*z[2]*z[3]+q^3*z[2]^3-2*q^2*z[1]^2*z[2]*z[3]-q*z[1]*z[2]^4-q^4*z[2]+q^3* z[1]*z[2]-q^3*z[1]*z[3]+q^4-q^3*z[2]+q^2*z[1]*z[2]-q*z[1]^2*z[3]+q*z[1])*(-1+z[ 1])*(q^2-z[1])*(-z[1]+q)/(q^3*z[3]-1)/(q^2*z[3]-1)/(q^6*z[2]*z[3]-1)/(q^4*z[2]* z[3]-1)/(q^7*z[2]*z[3]-1)/(q^2*z[2]*z[3]-1)/(q*z[2]*z[3]-1)/(q^3*z[2]*z[3]-1)/( q^5*z[2]*z[3]-1)/(q*z[3]-1) ------------------------------------------------------ When the sum of the positive exponents is, 8 there are, 9, possibe monomials: {[1, 7, -8], [2, 6, -8], [3, 5, -8], [4, 4, -8], [8, -8, 0], [8, -4, -4], [8, -3, -5], [8, -2, -6], [8, -1, -7]} 7 x[1] x[2] For the coeff., ---------- 8 x[3] we have: 25 7 4 25 6 2 4 24 7 2 4 (q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 25 6 4 25 5 2 4 24 5 3 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 23 7 2 4 23 6 3 4 25 5 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 25 4 2 4 24 5 2 4 24 4 3 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 23 6 2 4 22 7 2 4 22 6 3 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 21 7 3 4 25 4 4 25 3 2 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 24 4 2 4 24 3 3 4 23 7 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 23 4 3 4 22 6 2 4 22 5 3 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 22 4 4 4 21 6 3 4 21 5 4 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 25 3 4 25 2 2 4 24 6 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[3] 24 5 3 24 3 2 4 24 2 3 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 23 6 3 23 4 2 4 23 3 3 4 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 22 7 3 22 6 2 3 22 5 2 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 22 4 3 4 22 3 4 4 21 7 2 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 21 5 3 4 20 6 3 4 20 5 4 4 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 25 2 4 25 2 4 24 5 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[3] 24 4 3 24 2 2 4 23 4 2 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 23 3 2 4 23 2 3 4 22 6 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 22 5 2 3 22 3 3 4 21 7 3 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 21 6 2 3 21 3 4 4 20 7 2 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 20 5 3 4 19 6 3 4 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 19 5 4 4 17 7 4 4 25 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 24 4 3 24 3 3 24 2 4 - q z[1] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 23 4 3 23 3 2 3 23 2 2 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 22 5 3 22 3 2 4 22 2 3 4 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 21 6 3 21 5 2 3 - 3 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 21 3 3 4 20 6 2 3 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 20 5 3 3 20 4 3 4 20 3 4 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 19 7 2 3 19 6 3 3 19 5 3 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 19 4 4 4 18 6 3 4 18 5 4 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 17 6 4 4 25 4 24 3 3 - q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[3] 24 2 3 23 3 3 23 2 2 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 23 2 4 22 6 2 22 3 2 3 - q z[1] z[2] z[3] + q z[1] z[3] - q z[1] z[2] z[3] 22 2 2 4 21 5 3 21 4 2 3 - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 21 3 3 3 21 3 2 4 21 2 3 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 20 7 2 20 6 3 20 5 2 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 20 4 3 3 20 3 3 4 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 20 2 4 4 19 6 2 3 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 19 4 3 4 19 3 4 4 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 18 6 3 3 18 5 3 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 18 4 4 4 17 5 4 4 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 16 6 4 4 24 2 3 24 3 - q z[1] z[2] z[3] - q z[1] z[3] + q z[1] z[2] z[3] 23 2 3 22 5 2 22 3 3 + q z[1] z[2] z[3] + q z[1] z[3] + q z[1] z[2] z[3] 22 2 2 3 22 2 4 21 6 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[3] 21 5 2 21 4 3 21 3 2 3 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 21 2 2 4 21 3 4 20 6 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 20 5 3 20 4 2 3 20 2 3 4 - q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 19 7 2 19 6 3 19 5 2 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 19 4 3 3 19 2 4 4 18 6 2 3 - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 4 3 4 18 3 4 4 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 17 6 3 3 17 5 3 4 17 4 4 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 16 7 3 3 16 5 4 4 15 6 4 4 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 24 3 23 3 22 2 3 - q z[1] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 21 5 2 21 4 2 21 2 2 3 + 2 q z[1] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 21 2 4 20 6 2 20 5 2 - 2 q z[1] z[2] z[3] + q z[1] z[3] - q z[1] z[2] z[3] 20 4 3 20 2 2 4 20 3 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 19 6 2 19 5 3 19 4 2 3 + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] 19 2 3 4 18 7 2 18 6 2 2 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 6 3 18 5 2 3 18 4 3 3 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 18 3 4 3 18 2 4 4 17 7 2 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 6 2 3 17 5 3 3 17 4 3 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 17 3 4 4 16 6 3 3 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 16 4 4 4 15 7 3 3 15 6 4 3 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 24 3 22 3 21 4 2 21 2 3 - q z[3] + q z[1] z[2] z[3] + q z[1] z[3] + q z[1] z[2] z[3] 21 2 4 20 5 2 20 4 2 - q z[2] z[3] + 2 q z[1] z[3] - 3 q z[1] z[2] z[3] 20 2 2 3 20 2 4 19 5 2 - 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 19 4 2 2 19 4 3 19 3 2 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 19 2 3 3 19 3 4 18 6 2 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 18 5 2 2 18 5 3 18 4 2 3 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 8 q z[1] z[2] z[3] 18 3 3 3 18 2 3 4 - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 17 5 2 3 17 4 3 3 + 3 q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] 17 3 4 3 17 3 3 4 17 2 4 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 16 6 2 3 16 5 3 3 - 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 16 4 3 4 16 3 4 4 15 6 3 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 15 5 4 3 15 4 4 4 14 6 4 3 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 7 4 3 21 3 20 4 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[3] 20 3 2 20 2 3 20 2 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 20 2 4 19 6 19 5 2 - q z[2] z[3] - q z[1] z[3] + q z[1] z[3] 19 4 2 19 3 2 2 19 3 3 - 5 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 19 2 2 3 19 2 4 18 5 2 - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 18 4 3 18 3 2 3 18 3 4 - q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 17 6 2 17 5 2 2 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 17 4 2 3 17 3 3 3 + 7 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 17 2 4 3 17 2 3 4 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 16 4 3 3 16 3 4 3 - 6 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 16 3 3 4 16 2 4 4 15 7 2 2 - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 6 2 3 15 5 3 3 15 4 4 3 - q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 3 4 4 14 6 3 3 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 14 5 4 3 14 4 4 4 20 3 2 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[3] 20 3 19 5 19 4 2 + 3 q z[1] z[2] z[3] - q z[1] z[3] + q z[1] z[3] 19 3 2 19 2 3 19 2 4 - 3 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] - q z[2] z[3] 18 6 18 5 2 18 4 2 - q z[1] z[3] + q z[1] z[3] - 4 q z[1] z[2] z[3] 18 3 2 2 18 3 3 18 2 2 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 3 3 17 5 2 17 3 2 3 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] 17 2 3 3 17 3 4 16 7 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 6 2 16 5 2 2 + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 16 4 2 3 16 3 3 3 + 4 q z[1] z[2] z[3] - 8 q z[1] z[2] z[3] 16 2 4 3 16 2 3 4 16 4 4 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 6 2 2 15 5 2 3 - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 4 3 3 15 3 4 3 - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 15 3 3 4 15 2 4 4 14 7 2 2 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 6 3 2 14 5 3 3 + q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] 14 4 4 3 14 3 4 4 13 7 3 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 5 4 3 13 4 4 4 20 3 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[2] z[3] 19 3 2 19 3 18 5 + q z[1] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[3] 18 4 2 18 3 2 18 2 3 + q z[1] z[3] - 6 q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 2 3 17 6 17 5 - 2 q z[1] z[2] z[3] - q z[1] z[3] + q z[1] z[2] z[3] 17 5 2 17 4 2 17 3 2 2 + q z[1] z[3] - 4 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 17 2 2 3 17 3 3 16 6 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 16 5 2 16 4 2 2 + 4 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 16 3 2 3 16 2 3 3 + 6 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 16 3 4 15 6 2 + 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 15 5 2 2 15 4 2 3 - 7 q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 3 3 3 15 2 4 3 15 4 4 - 8 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 6 2 2 14 5 3 2 - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 14 3 4 3 14 2 4 4 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 13 5 3 3 13 4 4 3 + 4 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 13 3 4 4 12 7 3 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 5 4 3 12 4 4 4 19 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 19 3 18 3 2 18 2 2 + 2 q z[2] z[3] + q z[1] z[3] - 2 q z[1] z[2] z[3] 18 2 3 17 5 17 4 + q z[2] z[3] - 3 q z[1] z[3] + q z[1] z[2] z[3] 17 4 2 17 3 2 17 2 2 2 + q z[1] z[3] - 8 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 17 2 3 16 4 2 16 3 2 2 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] 16 2 3 2 16 2 2 3 16 3 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 16 3 4 15 6 15 5 2 + q z[2] z[3] - q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 15 4 2 2 15 3 2 3 - 7 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 15 2 3 3 15 3 4 14 6 2 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 5 2 2 14 4 3 2 - 10 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 14 3 3 3 14 2 4 3 14 4 4 - 9 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 5 3 2 13 4 3 3 + 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 13 3 4 3 13 2 4 4 12 6 3 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 12 5 3 3 12 4 4 3 + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 12 3 4 4 11 5 4 3 19 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[3] 18 3 18 2 2 18 2 18 3 + q z[1] z[3] + q z[1] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 17 4 17 3 2 17 2 2 - 2 q z[1] z[3] + q z[1] z[3] - 6 q z[1] z[2] z[3] 17 2 2 17 2 3 16 5 + q z[1] z[2] z[3] + q z[2] z[3] - 2 q z[1] z[3] 16 4 16 3 2 16 2 2 2 + 2 q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 16 2 3 15 4 2 15 3 2 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 15 2 3 2 15 2 2 3 15 3 3 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 3 4 14 5 2 14 4 2 2 + q z[2] z[3] + 4 q z[1] z[2] z[3] - 13 q z[1] z[2] z[3] 14 3 3 2 14 3 2 3 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 14 2 3 3 14 4 3 14 3 4 - 5 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 5 2 2 13 4 3 2 - 6 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 13 3 3 3 13 2 4 3 13 4 4 - 6 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 7 2 12 6 2 2 12 5 3 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 4 3 3 12 2 4 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 6 3 2 11 5 3 3 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 4 4 3 11 3 4 4 10 5 4 3 - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 19 2 17 3 17 2 2 17 2 - q z[3] + q z[1] z[3] + q z[1] z[3] - q z[1] z[2] z[3] 16 4 16 2 2 16 2 2 - 2 q z[1] z[3] - 7 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 15 6 15 5 15 4 + q z[1] - 2 q z[1] z[3] + 4 q z[1] z[2] z[3] 15 3 2 15 2 2 2 - 4 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 15 2 3 14 4 2 - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 14 3 2 2 14 2 3 2 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 14 2 2 3 14 3 3 14 3 4 + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[2] z[3] 13 5 2 13 5 2 13 4 2 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 14 q z[1] z[2] z[3] 13 3 3 2 13 2 4 2 + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 2 3 3 13 4 3 - 5 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 12 6 2 12 5 2 2 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 4 3 2 12 3 3 3 + 5 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 12 2 4 3 12 4 4 11 7 2 + 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 4 3 3 11 3 4 3 10 6 3 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 4 4 3 8 7 4 2 18 2 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[3] 17 2 17 2 17 2 16 3 + q z[1] z[3] + q z[1] z[3] - q z[2] z[3] + q z[1] z[3] 16 2 16 2 15 5 - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + q z[1] 15 4 15 3 15 2 2 - 3 q z[1] z[3] + 2 q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 15 2 2 15 2 3 14 5 + 3 q z[1] z[2] z[3] - 2 q z[2] z[3] - 2 q z[1] z[3] 14 4 14 3 2 14 2 2 2 + 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 14 2 3 14 3 3 13 5 - q z[1] z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] 13 4 2 13 4 2 13 3 2 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 2 3 2 13 2 2 3 13 3 3 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 12 6 12 5 2 12 4 2 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 12 q z[1] z[2] z[3] 12 3 3 2 12 2 4 2 + 6 q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 2 3 3 12 4 3 - 4 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 11 6 2 11 4 3 2 + 4 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 11 3 3 3 11 2 4 3 11 4 4 - 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 5 3 2 10 4 3 3 10 3 4 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 9 6 3 2 9 4 4 3 8 6 4 2 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 2 16 2 15 2 + 2 q z[1] z[3] - 2 q z[2] z[3] - 2 q z[1] z[2] z[3] 15 2 14 5 14 4 - q z[1] z[2] z[3] + q z[1] - 3 q z[1] z[3] 14 3 14 2 2 14 2 2 + 5 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 14 2 3 13 5 13 4 - 2 q z[2] z[3] - q z[1] z[3] + 7 q z[1] z[2] z[3] 13 3 2 13 2 2 2 13 3 2 - q z[1] z[2] z[3] + 8 q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 3 3 12 5 12 4 2 - 2 q z[2] z[3] - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 4 2 12 3 2 2 12 2 3 2 + q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 3 3 11 6 11 5 2 - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 11 4 2 2 11 3 3 2 - 7 q z[1] z[2] z[3] + 10 q z[1] z[2] z[3] 11 2 4 2 11 2 3 3 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 4 3 10 6 2 + 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 10 4 3 2 10 3 3 3 + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 2 4 3 10 4 4 9 5 3 2 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 3 4 3 8 6 3 2 8 5 4 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 4 4 3 7 6 4 2 16 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[3] 15 2 15 14 3 + 2 q z[1] z[3] - q z[1] z[2] z[3] - q z[1] z[3] 14 2 14 2 13 5 13 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] - 3 q z[1] z[3] 13 3 13 2 2 13 2 2 + 8 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 13 2 2 13 2 3 12 4 + 5 q z[1] z[2] z[3] - q z[2] z[3] + 5 q z[1] z[2] z[3] 12 3 2 12 3 2 12 2 2 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 12 3 2 12 3 3 11 6 - 3 q z[1] z[2] z[3] - 2 q z[2] z[3] - q z[1] z[2] 11 5 11 4 2 11 3 2 2 - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 11 2 3 2 11 4 2 11 3 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 5 2 10 4 2 2 + 4 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 10 3 3 2 10 2 4 2 + 11 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 10 2 3 3 10 4 3 10 4 4 - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[2] z[3] 9 6 2 9 5 2 2 9 4 3 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 9 2 4 3 8 5 3 2 8 4 4 2 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 3 4 3 7 7 3 7 5 4 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 14 3 14 2 14 + 2 q z[1] z[3] - q z[1] + q z[1] z[3] - q z[1] z[2] z[3] 14 2 13 4 13 3 13 2 + q z[2] z[3] + q z[1] - 2 q z[1] z[3] - 2 q z[1] z[2] z[3] 13 2 2 12 5 12 4 12 3 + 2 q z[2] z[3] + q z[1] - q z[1] z[3] + 10 q z[1] z[2] z[3] 12 2 2 12 2 2 11 5 - 2 q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] - q z[1] z[2] 11 4 11 3 2 11 2 2 2 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 11 3 2 11 3 3 10 6 - 3 q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] 10 5 10 3 2 2 - 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 10 2 3 2 10 4 2 9 5 2 + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 9 4 2 2 9 3 3 2 9 2 4 2 - q z[1] z[2] z[3] + 9 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 9 2 3 3 9 4 3 8 6 2 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 3 4 2 8 2 4 3 7 6 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 7 5 3 2 7 4 4 2 7 3 4 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 5 4 2 15 14 13 3 + q z[1] z[2] z[3] + q z[3] + q z[1] z[3] - q z[1] 13 13 2 12 4 12 3 - q z[1] z[2] z[3] + q z[2] z[3] + q z[1] - q z[1] z[3] 12 2 12 2 12 2 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 4 q z[2] z[3] 11 5 11 4 11 3 + q z[1] - q z[1] z[3] + 10 q z[1] z[2] z[3] 11 2 2 11 2 2 11 3 2 - 3 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] + q z[2] z[3] 10 5 10 4 10 3 2 - 2 q z[1] z[2] - q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 10 3 2 9 5 9 4 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 9 3 2 2 9 2 3 2 9 4 2 - 2 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 9 4 3 8 5 2 8 3 3 2 + q z[2] z[3] + 3 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 8 2 4 2 8 4 3 7 6 2 - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 5 3 7 4 3 2 7 3 4 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 6 3 6 4 4 2 13 2 13 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] + q z[1] z[3] 12 3 12 11 4 11 3 - q z[1] - 2 q z[1] z[2] z[3] + 2 q z[1] - q z[1] z[3] 11 2 11 2 11 2 2 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 4 q z[2] z[3] 10 5 10 4 10 3 + q z[1] - q z[1] z[2] + 7 q z[1] z[2] z[3] 10 2 2 10 3 10 2 2 - 7 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 10 3 2 9 5 9 4 + q z[2] z[3] - 2 q z[1] z[2] - q z[1] z[2] z[3] 9 3 2 9 2 2 2 9 3 2 - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 3 3 8 5 8 4 2 + q z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 8 3 2 2 8 2 3 2 8 4 2 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 8 4 3 7 5 2 7 4 3 + q z[2] z[3] + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 7 3 3 2 7 2 4 2 7 4 3 + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 6 5 3 6 4 3 2 6 3 4 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 4 4 2 12 2 12 12 + q z[1] z[2] z[3] - q z[1] + q z[1] z[3] - q z[2] z[3] 11 3 11 2 11 10 4 - q z[1] - q z[1] z[3] - 3 q z[1] z[2] z[3] + 2 q z[1] 10 2 10 2 10 2 2 + 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[2] z[3] 9 4 9 3 9 2 2 - 2 q z[1] z[2] + 4 q z[1] z[2] z[3] - 9 q z[1] z[2] z[3] 9 3 9 2 2 9 3 2 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 8 5 8 4 8 3 2 - q z[1] z[2] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 3 2 7 4 2 7 3 3 - 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 7 2 3 2 7 4 2 7 4 3 + 4 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + q z[2] z[3] 6 6 2 6 5 2 6 4 3 + q z[1] z[2] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 6 3 3 2 6 2 4 2 6 4 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 5 3 5 3 4 2 11 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] 11 10 2 9 4 9 2 - 3 q z[2] z[3] - q z[2] z[3] + 2 q z[1] + 4 q z[1] z[2] z[3] 9 2 8 4 8 3 - 3 q z[1] z[2] z[3] - 2 q z[1] z[2] + q z[1] z[2] z[3] 8 2 2 8 3 8 2 2 - 8 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 3 2 7 5 7 4 - q z[2] z[3] - q z[1] z[2] - q z[1] z[2] z[3] 7 3 2 7 2 3 7 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 3 2 7 4 2 6 5 2 - 2 q z[1] z[2] z[3] - q z[2] z[3] + q z[1] z[2] 6 4 2 6 3 3 6 2 3 2 + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 6 4 2 6 4 3 5 4 3 - 3 q z[1] z[2] z[3] + q z[2] z[3] - 2 q z[1] z[2] z[3] 5 2 4 2 4 3 4 2 10 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] 10 9 3 9 2 9 - 2 q z[2] z[3] + q z[1] + q z[1] z[2] + q z[1] z[2] z[3] 9 2 8 4 8 3 8 2 - 2 q z[2] z[3] + q z[1] - q z[1] z[2] + q z[1] z[2] z[3] 8 2 7 4 7 2 2 - 4 q z[1] z[2] z[3] - 2 q z[1] z[2] - 5 q z[1] z[2] z[3] 7 3 7 3 2 6 5 6 4 2 + 2 q z[1] z[2] z[3] - 2 q z[2] z[3] - q z[1] z[2] + q z[1] z[2] 6 3 2 6 2 3 6 4 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 3 2 6 4 2 5 5 2 - q z[1] z[2] z[3] - q z[2] z[3] + q z[1] z[2] 5 4 2 5 3 3 5 2 3 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 4 2 4 4 3 9 2 9 - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] + q z[1] z[2] 9 8 3 8 2 8 2 7 4 - q z[2] z[3] + q z[1] + q z[1] z[2] - 2 q z[2] z[3] + q z[1] 7 3 7 2 7 2 - 2 q z[1] z[2] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 6 4 6 3 2 6 2 2 - 2 q z[1] z[2] + q z[1] z[2] - 4 q z[1] z[2] z[3] 6 3 6 3 2 5 4 2 + 2 q z[1] z[2] z[3] - 2 q z[2] z[3] + q z[1] z[2] 5 3 2 5 2 3 5 4 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 4 2 4 3 3 4 4 2 10 - 2 q z[2] z[3] - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q 9 8 2 8 7 3 6 3 - q z[1] - q z[1] + 2 q z[1] z[2] + q z[1] - 2 q z[1] z[2] 6 2 2 6 2 6 3 5 4 + q z[1] z[2] - 2 q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[2] 5 3 2 5 2 2 5 3 + q z[1] z[2] - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 5 3 2 4 4 2 4 3 2 - q z[2] z[3] + q z[1] z[2] + q z[1] z[2] z[3] 4 2 3 4 4 4 4 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 3 3 3 3 4 2 8 8 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] + q z[2] 7 6 3 6 2 6 2 + 2 q z[1] z[2] + q z[1] - q z[1] z[2] + q z[1] z[2] 6 2 5 3 5 2 2 5 2 + q z[2] z[3] - 2 q z[1] z[2] + q z[1] z[2] - 2 q z[1] z[2] z[3] 5 3 4 3 2 4 3 4 4 + 2 q z[2] z[3] + q z[1] z[2] + 2 q z[1] z[2] z[3] + q z[2] z[3] 3 2 3 3 4 3 4 2 7 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] + q z[2] 6 5 2 5 2 5 2 + q z[1] z[2] - q z[1] z[2] + q z[1] z[2] + q z[2] z[3] 4 3 4 2 2 4 2 4 3 - q z[1] z[2] + q z[1] z[2] - q z[1] z[2] z[3] + 3 q z[2] z[3] 3 3 2 3 3 3 4 + q z[1] z[2] + q z[1] z[2] z[3] + q z[2] z[3] 2 2 3 2 4 5 4 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] - q z[1] z[2] 4 2 3 2 2 3 3 2 4 + q z[1] z[2] + q z[1] z[2] + 2 q z[2] z[3] + q z[2] z[3] 4 4 4 2 3 2 + q z[1] z[2] z[3] + q z[1] z[2] - q z[2] - q z[1] z[2] 3 2 3 3 2 2 2 2 3 4 + q z[1] z[2] - q z[2] + q z[1] z[2] + q z[2] z[3] + q z[2] z[3] 3 2 2 2 2 3 2 2 2 3 - q z[2] + q z[1] z[2] - q z[2] - q z[2] + q z[1] z[2] - q z[2] 4 3 2 3 - z[2] - z[2] ) (q - z[2]) (q - z[2]) (q - z[2]) (-1 + z[1]) (z[2] - 1) / 4 / ((q z[2] z[3] - 1) (q z[1] z[3] - 1) (q z[1] z[3] - 1) / 7 6 2 5 (q z[1] z[3] - 1) (q z[1] z[3] - 1) (q z[1] z[3] - 1) (q z[1] z[3] - 1) 3 4 2 3 (q z[1] z[3] - 1) (q z[3] - 1) (q z[3] - 1) (q z[3] - 1) (q z[3] - 1)) and in Maple input notation: (q^25*z[1]^7*z[2]*z[3]^4-q^25*z[1]^6*z[2]^2*z[3]^4+q^24*z[1]^7*z[2]^2*z[3]^4+q^ 25*z[1]^6*z[2]*z[3]^4-q^25*z[1]^5*z[2]^2*z[3]^4+q^24*z[1]^5*z[2]^3*z[3]^4+q^23* z[1]^7*z[2]^2*z[3]^4-q^23*z[1]^6*z[2]^3*z[3]^4+q^25*z[1]^5*z[2]*z[3]^4-q^25*z[1 ]^4*z[2]^2*z[3]^4-q^24*z[1]^5*z[2]^2*z[3]^4+q^24*z[1]^4*z[2]^3*z[3]^4+q^23*z[1] ^6*z[2]^2*z[3]^4+q^22*z[1]^7*z[2]^2*z[3]^4-2*q^22*z[1]^6*z[2]^3*z[3]^4+q^21*z[1 ]^7*z[2]^3*z[3]^4+q^25*z[1]^4*z[2]*z[3]^4-q^25*z[1]^3*z[2]^2*z[3]^4-q^24*z[1]^4 *z[2]^2*z[3]^4+q^24*z[1]^3*z[2]^3*z[3]^4-q^23*z[1]^7*z[2]*z[3]^3+q^23*z[1]^4*z[ 2]^3*z[3]^4+q^22*z[1]^6*z[2]^2*z[3]^4-q^22*z[1]^5*z[2]^3*z[3]^4-q^22*z[1]^4*z[2 ]^4*z[3]^4-q^21*z[1]^6*z[2]^3*z[3]^4+q^21*z[1]^5*z[2]^4*z[3]^4+q^25*z[1]^3*z[2] *z[3]^4-q^25*z[1]^2*z[2]^2*z[3]^4-q^24*z[1]^6*z[3]^3+q^24*z[1]^5*z[2]*z[3]^3-q^ 24*z[1]^3*z[2]^2*z[3]^4+q^24*z[1]^2*z[2]^3*z[3]^4-2*q^23*z[1]^6*z[2]*z[3]^3-q^ 23*z[1]^4*z[2]^2*z[3]^4+q^23*z[1]^3*z[2]^3*z[3]^4-q^22*z[1]^7*z[2]*z[3]^3+q^22* z[1]^6*z[2]^2*z[3]^3+q^22*z[1]^5*z[2]^2*z[3]^4+q^22*z[1]^4*z[2]^3*z[3]^4-q^22*z [1]^3*z[2]^4*z[3]^4-q^21*z[1]^7*z[2]^2*z[3]^3-2*q^21*z[1]^5*z[2]^3*z[3]^4-q^20* z[1]^6*z[2]^3*z[3]^4+q^20*z[1]^5*z[2]^4*z[3]^4+q^25*z[1]^2*z[2]*z[3]^4-q^25*z[1 ]*z[2]^2*z[3]^4-q^24*z[1]^5*z[3]^3+q^24*z[1]^4*z[2]*z[3]^3-q^24*z[1]^2*z[2]^2*z [3]^4-q^23*z[1]^4*z[2]^2*z[3]^3-q^23*z[1]^3*z[2]^2*z[3]^4+q^23*z[1]^2*z[2]^3*z[ 3]^4-3*q^22*z[1]^6*z[2]*z[3]^3+2*q^22*z[1]^5*z[2]^2*z[3]^3+2*q^22*z[1]^3*z[2]^3 *z[3]^4-q^21*z[1]^7*z[2]*z[3]^3+q^21*z[1]^6*z[2]^2*z[3]^3-q^21*z[1]^3*z[2]^4*z[ 3]^4-2*q^20*z[1]^7*z[2]^2*z[3]^3-2*q^20*z[1]^5*z[2]^3*z[3]^4-q^19*z[1]^6*z[2]^3 *z[3]^4+2*q^19*z[1]^5*z[2]^4*z[3]^4-q^17*z[1]^7*z[2]^4*z[3]^4+q^25*z[1]*z[2]*z[ 3]^4-q^24*z[1]^4*z[3]^3+q^24*z[1]^3*z[2]*z[3]^3-q^24*z[1]*z[2]^2*z[3]^4+q^23*z[ 1]^4*z[2]*z[3]^3-q^23*z[1]^3*z[2]^2*z[3]^3-q^23*z[1]^2*z[2]^2*z[3]^4-2*q^22*z[1 ]^5*z[2]*z[3]^3-q^22*z[1]^3*z[2]^2*z[3]^4+2*q^22*z[1]^2*z[2]^3*z[3]^4-3*q^21*z[ 1]^6*z[2]*z[3]^3+5*q^21*z[1]^5*z[2]^2*z[3]^3+2*q^21*z[1]^3*z[2]^3*z[3]^4-2*q^20 *z[1]^6*z[2]^2*z[3]^3-q^20*z[1]^5*z[2]^3*z[3]^3-q^20*z[1]^4*z[2]^3*z[3]^4-2*q^ 20*z[1]^3*z[2]^4*z[3]^4-q^19*z[1]^7*z[2]^2*z[3]^3+q^19*z[1]^6*z[2]^3*z[3]^3-2*q ^19*z[1]^5*z[2]^3*z[3]^4+q^19*z[1]^4*z[2]^4*z[3]^4-q^18*z[1]^6*z[2]^3*z[3]^4+2* q^18*z[1]^5*z[2]^4*z[3]^4-q^17*z[1]^6*z[2]^4*z[3]^4+q^25*z[2]*z[3]^4-q^24*z[1]^ 3*z[3]^3+q^24*z[1]^2*z[2]*z[3]^3+q^23*z[1]^3*z[2]*z[3]^3-q^23*z[1]^2*z[2]^2*z[3 ]^3-q^23*z[1]*z[2]^2*z[3]^4+q^22*z[1]^6*z[3]^2-q^22*z[1]^3*z[2]^2*z[3]^3-q^22*z [1]^2*z[2]^2*z[3]^4-3*q^21*z[1]^5*z[2]*z[3]^3+2*q^21*z[1]^4*z[2]^2*z[3]^3+q^21* z[1]^3*z[2]^3*z[3]^3-q^21*z[1]^3*z[2]^2*z[3]^4+3*q^21*z[1]^2*z[2]^3*z[3]^4+q^20 *z[1]^7*z[2]*z[3]^2-q^20*z[1]^6*z[2]*z[3]^3+5*q^20*z[1]^5*z[2]^2*z[3]^3-2*q^20* z[1]^4*z[2]^3*z[3]^3+2*q^20*z[1]^3*z[2]^3*z[3]^4-q^20*z[1]^2*z[2]^4*z[3]^4-2*q^ 19*z[1]^6*z[2]^2*z[3]^3-2*q^19*z[1]^4*z[2]^3*z[3]^4-2*q^19*z[1]^3*z[2]^4*z[3]^4 +q^18*z[1]^6*z[2]^3*z[3]^3-2*q^18*z[1]^5*z[2]^3*z[3]^4+2*q^18*z[1]^4*z[2]^4*z[3 ]^4+2*q^17*z[1]^5*z[2]^4*z[3]^4-q^16*z[1]^6*z[2]^4*z[3]^4-q^24*z[1]^2*z[3]^3+q^ 24*z[1]*z[2]*z[3]^3+q^23*z[1]^2*z[2]*z[3]^3+q^22*z[1]^5*z[3]^2+q^22*z[1]^3*z[2] *z[3]^3-q^22*z[1]^2*z[2]^2*z[3]^3-q^22*z[1]*z[2]^2*z[3]^4+q^21*z[1]^6*z[3]^2-q^ 21*z[1]^5*z[2]*z[3]^2-2*q^21*z[1]^4*z[2]*z[3]^3-q^21*z[1]^3*z[2]^2*z[3]^3-2*q^ 21*z[1]^2*z[2]^2*z[3]^4+q^21*z[1]*z[2]^3*z[3]^4+2*q^20*z[1]^6*z[2]*z[3]^2-q^20* z[1]^5*z[2]*z[3]^3+5*q^20*z[1]^4*z[2]^2*z[3]^3+4*q^20*z[1]^2*z[2]^3*z[3]^4+q^19 *z[1]^7*z[2]*z[3]^2-q^19*z[1]^6*z[2]*z[3]^3+4*q^19*z[1]^5*z[2]^2*z[3]^3-3*q^19* z[1]^4*z[2]^3*z[3]^3-q^19*z[1]^2*z[2]^4*z[3]^4-q^18*z[1]^6*z[2]^2*z[3]^3-2*q^18 *z[1]^4*z[2]^3*z[3]^4-2*q^18*z[1]^3*z[2]^4*z[3]^4+q^17*z[1]^6*z[2]^3*z[3]^3-q^ 17*z[1]^5*z[2]^3*z[3]^4+3*q^17*z[1]^4*z[2]^4*z[3]^4+2*q^16*z[1]^7*z[2]^3*z[3]^3 +q^16*z[1]^5*z[2]^4*z[3]^4-q^15*z[1]^6*z[2]^4*z[3]^4-q^24*z[1]*z[3]^3+q^23*z[1] *z[2]*z[3]^3+q^22*z[1]^2*z[2]*z[3]^3+2*q^21*z[1]^5*z[3]^2-q^21*z[1]^4*z[2]*z[3] ^2-2*q^21*z[1]^2*z[2]^2*z[3]^3-2*q^21*z[1]*z[2]^2*z[3]^4+q^20*z[1]^6*z[3]^2-q^ 20*z[1]^5*z[2]*z[3]^2-q^20*z[1]^4*z[2]*z[3]^3-q^20*z[1]^2*z[2]^2*z[3]^4+2*q^20* z[1]*z[2]^3*z[3]^4+4*q^19*z[1]^6*z[2]*z[3]^2-q^19*z[1]^5*z[2]*z[3]^3+7*q^19*z[1 ]^4*z[2]^2*z[3]^3+3*q^19*z[1]^2*z[2]^3*z[3]^4+q^18*z[1]^7*z[2]*z[3]^2-q^18*z[1] ^6*z[2]^2*z[3]^2-q^18*z[1]^6*z[2]*z[3]^3+4*q^18*z[1]^5*z[2]^2*z[3]^3-6*q^18*z[1 ]^4*z[2]^3*z[3]^3+q^18*z[1]^3*z[2]^4*z[3]^3-2*q^18*z[1]^2*z[2]^4*z[3]^4+q^17*z[ 1]^7*z[2]^2*z[3]^2-q^17*z[1]^6*z[2]^2*z[3]^3+q^17*z[1]^5*z[2]^3*z[3]^3-2*q^17*z 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1]^5*z[2]^4*z[3]^3+3*q^15*z[1]^4*z[2]^4*z[3]^4-q^14*z[1]^6*z[2]^4*z[3]^3+q^13*z [1]^7*z[2]^4*z[3]^3+q^21*z[1]*z[2]*z[3]^3+2*q^20*z[1]^4*z[3]^2-q^20*z[1]^3*z[2] *z[3]^2+2*q^20*z[1]^2*z[2]*z[3]^3-2*q^20*z[1]*z[2]^2*z[3]^3-q^20*z[2]^2*z[3]^4- q^19*z[1]^6*z[3]+q^19*z[1]^5*z[3]^2-5*q^19*z[1]^4*z[2]*z[3]^2+q^19*z[1]^3*z[2]^ 2*z[3]^2-q^19*z[1]^3*z[2]*z[3]^3-3*q^19*z[1]^2*z[2]^2*z[3]^3-q^19*z[1]*z[2]^2*z [3]^4+4*q^18*z[1]^5*z[2]*z[3]^2-q^18*z[1]^4*z[2]*z[3]^3+7*q^18*z[1]^3*z[2]^2*z[ 3]^3+2*q^18*z[1]*z[2]^3*z[3]^4+2*q^17*z[1]^6*z[2]*z[3]^2-3*q^17*z[1]^5*z[2]^2*z [3]^2+7*q^17*z[1]^4*z[2]^2*z[3]^3-6*q^17*z[1]^3*z[2]^3*z[3]^3+q^17*z[1]^2*z[2]^ 4*z[3]^3+2*q^17*z[1]^2*z[2]^3*z[3]^4-6*q^16*z[1]^4*z[2]^3*z[3]^3+2*q^16*z[1]^3* z[2]^4*z[3]^3-q^16*z[1]^3*z[2]^3*z[3]^4-3*q^16*z[1]^2*z[2]^4*z[3]^4-q^15*z[1]^7 *z[2]^2*z[3]^2-q^15*z[1]^6*z[2]^2*z[3]^3+7*q^15*z[1]^5*z[2]^3*z[3]^3-q^15*z[1]^ 4*z[2]^4*z[3]^3+q^15*z[1]^3*z[2]^4*z[3]^4+2*q^14*z[1]^6*z[2]^3*z[3]^3-2*q^14*z[ 1]^5*z[2]^4*z[3]^3+2*q^14*z[1]^4*z[2]^4*z[3]^4+q^20*z[1]^3*z[3]^2+3*q^20*z[1]*z [2]*z[3]^3-q^19*z[1]^5*z[3]+q^19*z[1]^4*z[3]^2-3*q^19*z[1]^3*z[2]*z[3]^2-3*q^19 *z[1]*z[2]^2*z[3]^3-q^19*z[2]^2*z[3]^4-q^18*z[1]^6*z[3]+q^18*z[1]^5*z[3]^2-4*q^ 18*z[1]^4*z[2]*z[3]^2+2*q^18*z[1]^3*z[2]^2*z[3]^2-q^18*z[1]^3*z[2]*z[3]^3+q^18* z[1]^2*z[2]^2*z[3]^3-q^18*z[1]*z[2]^3*z[3]^3+3*q^17*z[1]^5*z[2]*z[3]^2+7*q^17*z [1]^3*z[2]^2*z[3]^3-q^17*z[1]^2*z[2]^3*z[3]^3+2*q^17*z[1]*z[2]^3*z[3]^4-q^16*z[ 1]^7*z[2]*z[3]+2*q^16*z[1]^6*z[2]*z[3]^2-4*q^16*z[1]^5*z[2]^2*z[3]^2+4*q^16*z[1 ]^4*z[2]^2*z[3]^3-8*q^16*z[1]^3*z[2]^3*z[3]^3+2*q^16*z[1]^2*z[2]^4*z[3]^3+2*q^ 16*z[1]^2*z[2]^3*z[3]^4-q^16*z[1]*z[2]^4*z[3]^4-3*q^15*z[1]^6*z[2]^2*z[3]^2-q^ 15*z[1]^5*z[2]^2*z[3]^3-3*q^15*z[1]^4*z[2]^3*z[3]^3+2*q^15*z[1]^3*z[2]^4*z[3]^3 -q^15*z[1]^3*z[2]^3*z[3]^4-2*q^15*z[1]^2*z[2]^4*z[3]^4-q^14*z[1]^7*z[2]^2*z[3]^ 2+q^14*z[1]^6*z[2]^3*z[3]^2+7*q^14*z[1]^5*z[2]^3*z[3]^3-2*q^14*z[1]^4*z[2]^4*z[ 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^7*z[1]^6*z[2]^2*z[3]-2*q^7*z[1]^5*z[2]^3*z[3]-q^7*z[1]^4*z[2]^3*z[3]^2+q^7*z[1 ]^3*z[2]^4*z[3]^2-q^6*z[1]^6*z[2]^3*z[3]+q^6*z[1]^4*z[2]^4*z[3]^2-q^13*z[1]^2+q ^13*z[1]*z[3]-q^12*z[1]^3-2*q^12*z[1]*z[2]*z[3]+2*q^11*z[1]^4-q^11*z[1]^3*z[3]+ 3*q^11*z[1]^2*z[2]*z[3]+q^11*z[1]*z[2]^2*z[3]+4*q^11*z[2]^2*z[3]^2+q^10*z[1]^5- q^10*z[1]^4*z[2]+7*q^10*z[1]^3*z[2]*z[3]-7*q^10*z[1]^2*z[2]^2*z[3]+q^10*z[1]*z[ 2]^3*z[3]+2*q^10*z[1]*z[2]^2*z[3]^2+q^10*z[2]^3*z[3]^2-2*q^9*z[1]^5*z[2]-q^9*z[ 1]^4*z[2]*z[3]-4*q^9*z[1]^3*z[2]^2*z[3]+q^9*z[1]^2*z[2]^2*z[3]^2-q^9*z[1]*z[2]^ 3*z[3]^2+q^9*z[2]^3*z[3]^3-q^8*z[1]^5*z[2]*z[3]+3*q^8*z[1]^4*z[2]^2*z[3]-q^8*z[ 1]^3*z[2]^2*z[3]^2+4*q^8*z[1]^2*z[2]^3*z[3]^2-3*q^8*z[1]*z[2]^4*z[3]^2+q^8*z[2] ^4*z[3]^3+3*q^7*z[1]^5*z[2]^2*z[3]-2*q^7*z[1]^4*z[2]^3*z[3]+4*q^7*z[1]^3*z[2]^3 *z[3]^2-2*q^7*z[1]^2*z[2]^4*z[3]^2+2*q^7*z[1]*z[2]^4*z[3]^3-2*q^6*z[1]^5*z[2]^3 *z[3]-q^6*z[1]^4*z[2]^3*z[3]^2+q^6*z[1]^3*z[2]^4*z[3]^2+q^5*z[1]^4*z[2]^4*z[3]^ 2-q^12*z[1]^2+q^12*z[1]*z[3]-q^12*z[2]*z[3]-q^11*z[1]^3-q^11*z[1]^2*z[3]-3*q^11 *z[1]*z[2]*z[3]+2*q^10*z[1]^4+5*q^10*z[1]^2*z[2]*z[3]-q^10*z[1]*z[2]^2*z[3]+2*q ^10*z[2]^2*z[3]^2-2*q^9*z[1]^4*z[2]+4*q^9*z[1]^3*z[2]*z[3]-9*q^9*z[1]^2*z[2]^2* z[3]+2*q^9*z[1]*z[2]^3*z[3]+q^9*z[1]*z[2]^2*z[3]^2+q^9*z[2]^3*z[3]^2-q^8*z[1]^5 *z[2]-2*q^8*z[1]^4*z[2]*z[3]-q^8*z[1]^3*z[2]^2*z[3]-2*q^8*z[1]*z[2]^3*z[3]^2+4* q^7*z[1]^4*z[2]^2*z[3]-2*q^7*z[1]^3*z[2]^3*z[3]+4*q^7*z[1]^2*z[2]^3*z[3]^2-3*q^ 7*z[1]*z[2]^4*z[3]^2+q^7*z[2]^4*z[3]^3+q^6*z[1]^6*z[2]^2+q^6*z[1]^5*z[2]^2*z[3] -2*q^6*z[1]^4*z[2]^3*z[3]+q^6*z[1]^3*z[2]^3*z[3]^2-q^6*z[1]^2*z[2]^4*z[3]^2+q^6 *z[1]*z[2]^4*z[3]^3-q^5*z[1]^5*z[2]^3*z[3]+q^5*z[1]^3*z[2]^4*z[3]^2-2*q^11*z[1] ^2-3*q^11*z[2]*z[3]-q^10*z[2]^2*z[3]+2*q^9*z[1]^4+4*q^9*z[1]^2*z[2]*z[3]-3*q^9* z[1]*z[2]^2*z[3]-2*q^8*z[1]^4*z[2]+q^8*z[1]^3*z[2]*z[3]-8*q^8*z[1]^2*z[2]^2*z[3 ]+3*q^8*z[1]*z[2]^3*z[3]+q^8*z[1]*z[2]^2*z[3]^2-q^8*z[2]^3*z[3]^2-q^7*z[1]^5*z[ 2]-q^7*z[1]^4*z[2]*z[3]+q^7*z[1]^3*z[2]^2*z[3]-2*q^7*z[1]^2*z[2]^3*z[3]+q^7*z[1 ]*z[2]^4*z[3]-2*q^7*z[1]*z[2]^3*z[3]^2-q^7*z[2]^4*z[3]^2+q^6*z[1]^5*z[2]^2+3*q^ 6*z[1]^4*z[2]^2*z[3]-2*q^6*z[1]^3*z[2]^3*z[3]+3*q^6*z[1]^2*z[2]^3*z[3]^2-3*q^6* z[1]*z[2]^4*z[3]^2+q^6*z[2]^4*z[3]^3-2*q^5*z[1]^4*z[2]^3*z[3]-q^5*z[1]^2*z[2]^4 *z[3]^2+q^4*z[1]^3*z[2]^4*z[3]^2-2*q^10*z[1]^2-2*q^10*z[2]*z[3]+q^9*z[1]^3+q^9* z[1]^2*z[2]+q^9*z[1]*z[2]*z[3]-2*q^9*z[2]^2*z[3]+q^8*z[1]^4-q^8*z[1]^3*z[2]+q^8 *z[1]^2*z[2]*z[3]-4*q^8*z[1]*z[2]^2*z[3]-2*q^7*z[1]^4*z[2]-5*q^7*z[1]^2*z[2]^2* z[3]+2*q^7*z[1]*z[2]^3*z[3]-2*q^7*z[2]^3*z[3]^2-q^6*z[1]^5*z[2]+q^6*z[1]^4*z[2] ^2+2*q^6*z[1]^3*z[2]^2*z[3]-2*q^6*z[1]^2*z[2]^3*z[3]+q^6*z[1]*z[2]^4*z[3]-q^6*z [1]*z[2]^3*z[3]^2-q^6*z[2]^4*z[3]^2+q^5*z[1]^5*z[2]^2+q^5*z[1]^4*z[2]^2*z[3]-2* q^5*z[1]^3*z[2]^3*z[3]+q^5*z[1]^2*z[2]^3*z[3]^2-3*q^5*z[1]*z[2]^4*z[3]^2-q^4*z[ 1]^4*z[2]^3*z[3]-2*q^9*z[1]^2+q^9*z[1]*z[2]-q^9*z[2]*z[3]+q^8*z[1]^3+q^8*z[1]^2 *z[2]-2*q^8*z[2]^2*z[3]+q^7*z[1]^4-2*q^7*z[1]^3*z[2]+q^7*z[1]^2*z[2]*z[3]-2*q^7 *z[1]*z[2]^2*z[3]-2*q^6*z[1]^4*z[2]+q^6*z[1]^3*z[2]^2-4*q^6*z[1]^2*z[2]^2*z[3]+ 2*q^6*z[1]*z[2]^3*z[3]-2*q^6*z[2]^3*z[3]^2+q^5*z[1]^4*z[2]^2+2*q^5*z[1]^3*z[2]^ 2*z[3]-2*q^5*z[1]^2*z[2]^3*z[3]+q^5*z[1]*z[2]^4*z[3]-2*q^5*z[2]^4*z[3]^2-2*q^4* z[1]^3*z[2]^3*z[3]-2*q^4*z[1]*z[2]^4*z[3]^2+q^10-q^9*z[1]-q^8*z[1]^2+2*q^8*z[1] *z[2]+q^7*z[1]^3-2*q^6*z[1]^3*z[2]+q^6*z[1]^2*z[2]^2-2*q^6*z[1]*z[2]^2*z[3]+q^6 *z[2]^3*z[3]-q^5*z[1]^4*z[2]+q^5*z[1]^3*z[2]^2-2*q^5*z[1]^2*z[2]^2*z[3]+2*q^5*z [1]*z[2]^3*z[3]-q^5*z[2]^3*z[3]^2+q^4*z[1]^4*z[2]^2+q^4*z[1]^3*z[2]^2*z[3]-2*q^ 4*z[1]^2*z[2]^3*z[3]+q^4*z[1]*z[2]^4*z[3]-q^4*z[2]^4*z[3]^2-q^3*z[1]^3*z[2]^3*z [3]-q^3*z[1]*z[2]^4*z[3]^2-q^8*z[1]+q^8*z[2]+2*q^7*z[1]*z[2]+q^6*z[1]^3-q^6*z[1 ]^2*z[2]+q^6*z[1]*z[2]^2+q^6*z[2]^2*z[3]-2*q^5*z[1]^3*z[2]+q^5*z[1]^2*z[2]^2-2* q^5*z[1]*z[2]^2*z[3]+2*q^5*z[2]^3*z[3]+q^4*z[1]^3*z[2]^2+2*q^4*z[1]*z[2]^3*z[3] +q^4*z[2]^4*z[3]-2*q^3*z[1]^2*z[2]^3*z[3]+q^3*z[1]*z[2]^4*z[3]-q^3*z[2]^4*z[3]^ 2+q^7*z[2]+q^6*z[1]*z[2]-q^5*z[1]^2*z[2]+q^5*z[1]*z[2]^2+q^5*z[2]^2*z[3]-q^4*z[ 1]^3*z[2]+q^4*z[1]^2*z[2]^2-q^4*z[1]*z[2]^2*z[3]+3*q^4*z[2]^3*z[3]+q^3*z[1]^3*z [2]^2+q^3*z[1]*z[2]^3*z[3]+q^3*z[2]^4*z[3]-q^2*z[1]^2*z[2]^3*z[3]+q^2*z[1]*z[2] ^4*z[3]+q^5*z[1]*z[2]-q^4*z[1]^2*z[2]+q^4*z[1]*z[2]^2+q^3*z[1]^2*z[2]^2+2*q^3*z [2]^3*z[3]+q^2*z[2]^4*z[3]+q*z[1]*z[2]^4*z[3]+q^4*z[1]*z[2]-q^4*z[2]^2-q^3*z[1] ^2*z[2]+q^3*z[1]*z[2]^2-q^3*z[2]^3+q^2*z[1]^2*z[2]^2+q^2*z[2]^3*z[3]+q*z[2]^4*z [3]-q^3*z[2]^2+q^2*z[1]*z[2]^2-q^2*z[2]^3-q^2*z[2]^2+q*z[1]*z[2]^2-q*z[2]^3-z[2 ]^4-z[2]^3)*(q^2-z[2])*(q-z[2])*(q^3-z[2])*(-1+z[1])*(z[2]-1)/(q*z[2]*z[3]-1)/( q*z[1]*z[3]-1)/(q^4*z[1]*z[3]-1)/(q^7*z[1]*z[3]-1)/(q^6*z[1]*z[3]-1)/(q^2*z[1]* z[3]-1)/(q^5*z[1]*z[3]-1)/(q^3*z[1]*z[3]-1)/(q*z[3]-1)/(q^4*z[3]-1)/(q^2*z[3]-1 )/(q^3*z[3]-1) 2 6 x[1] x[2] For the coeff., ----------- 8 x[3] we have: 23 6 2 4 23 5 3 4 22 7 2 4 (q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 22 6 3 4 23 5 2 4 23 4 3 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 22 7 4 22 4 4 4 21 7 2 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 21 6 3 4 21 5 4 4 20 7 3 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 23 4 2 4 23 3 3 4 22 4 3 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 22 3 4 4 21 5 3 4 20 7 2 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 20 6 3 4 20 5 4 4 23 3 2 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 23 2 3 4 22 3 3 4 22 2 4 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 21 3 4 4 20 5 3 4 20 3 5 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 19 6 3 4 19 5 4 4 18 6 4 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 5 5 4 17 7 4 4 23 2 2 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 23 3 4 22 5 3 22 4 2 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 22 2 3 4 21 6 3 21 5 2 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 21 3 3 4 21 2 4 4 20 7 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 20 6 2 3 20 3 4 4 19 7 2 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 19 5 3 4 19 4 4 4 19 3 5 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 6 3 4 18 5 4 4 18 4 5 4 + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 7 3 4 17 5 5 4 16 7 4 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 6 5 4 23 2 4 22 4 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 22 3 2 3 22 3 4 21 6 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[3] 21 5 3 21 4 2 3 21 3 3 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 21 2 3 4 20 6 3 20 5 2 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 20 4 3 3 20 3 3 4 20 2 4 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 19 7 3 19 5 3 3 19 4 3 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 19 3 4 4 19 2 5 4 18 7 2 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 18 6 3 3 18 5 3 4 18 4 4 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 18 3 5 4 17 6 3 4 17 5 4 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 17 4 5 4 16 6 4 4 16 5 5 4 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 7 4 4 15 6 5 4 23 2 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] z[3] 22 3 3 22 2 2 3 21 4 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 21 3 2 3 21 2 3 3 21 3 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 20 4 2 3 20 3 3 3 20 2 3 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 20 4 4 19 6 3 19 5 2 3 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 19 4 3 3 19 2 4 4 18 7 3 + 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 6 2 3 18 4 3 4 18 2 5 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 7 2 3 17 6 3 3 17 5 3 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 4 4 4 17 3 5 4 16 5 4 4 - 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 4 5 4 15 6 4 4 14 6 5 4 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 22 2 3 22 2 3 21 3 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 21 2 2 3 20 3 2 3 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 20 2 3 3 20 3 4 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 19 4 2 3 19 2 3 4 19 4 4 - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 18 6 3 18 5 2 3 18 4 3 3 + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 18 3 3 4 18 2 4 4 17 6 2 3 + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 5 3 3 17 4 4 3 17 4 3 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 3 4 4 17 2 5 4 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 16 6 3 3 16 4 4 4 - 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 15 7 3 3 15 6 4 3 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 4 5 4 13 6 5 4 22 3 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 21 2 3 21 2 3 20 2 2 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 20 3 4 19 6 2 19 5 2 - q z[2] z[3] - q z[1] z[3] + q z[1] z[2] z[3] 19 2 3 3 19 3 4 18 6 2 - 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 4 2 3 18 3 3 3 18 4 4 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 17 7 2 17 6 3 17 5 2 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 17 4 3 3 17 3 4 3 17 3 3 4 + 8 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 2 4 4 16 4 4 3 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 16 3 5 3 16 3 4 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 16 2 5 4 15 6 3 3 - 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 15 5 4 3 15 4 5 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 4 4 4 15 3 5 4 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 7 3 3 14 6 4 3 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 14 4 5 4 13 7 4 3 13 5 5 4 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 6 5 4 22 3 21 3 - q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 20 4 2 20 3 2 20 2 3 + q z[1] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 19 5 2 19 4 2 19 2 2 3 - q z[1] z[3] + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 19 3 3 19 3 4 18 6 2 - q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[3] 18 5 2 18 4 2 2 18 3 2 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 2 3 3 18 3 4 17 6 2 - 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 17 5 2 2 17 4 2 3 + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 17 3 3 3 17 2 3 4 17 4 4 + 6 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 16 7 2 16 6 2 2 16 6 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 5 2 3 16 4 3 3 - 3 q z[1] z[2] z[3] + 9 q z[1] z[2] z[3] 16 3 4 3 16 2 5 3 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 2 4 4 16 5 4 15 7 2 2 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 6 2 3 15 5 3 3 + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 15 4 4 3 15 3 4 4 - 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 15 2 5 4 14 6 3 3 - 2 q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 14 5 4 3 14 4 5 3 14 4 4 4 + 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 3 5 4 13 7 3 3 13 6 4 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 4 5 4 12 7 4 3 12 5 5 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 21 3 20 3 2 20 2 2 - q z[2] z[3] + q z[1] z[3] - q z[1] z[2] z[3] 19 2 2 2 19 2 3 18 5 2 + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[3] 18 4 2 18 3 2 2 + 5 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 18 2 2 3 18 3 3 18 3 4 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] - q z[2] z[3] 17 6 2 17 4 2 2 17 3 2 3 - q z[1] z[3] - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 17 2 3 3 17 4 3 16 6 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 16 5 2 2 16 4 2 3 + 3 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 16 3 3 3 16 2 4 3 16 4 4 + 9 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 15 7 2 15 5 2 3 15 4 3 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 15 3 4 3 15 2 5 3 15 5 4 - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 6 2 3 14 5 3 3 + q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 14 3 4 4 14 2 5 4 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 6 3 3 13 5 4 3 - 3 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 13 4 5 3 13 3 5 4 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 12 4 5 4 11 5 5 4 20 2 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[3] 20 2 19 2 2 19 2 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] z[3] 18 3 2 18 2 3 17 5 2 + 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - q z[1] z[3] 17 4 2 17 3 2 2 17 2 3 2 + 5 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 2 2 3 17 3 3 16 5 2 - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 3 2 3 16 2 3 3 16 4 3 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 16 4 4 15 6 2 15 5 2 2 + q z[2] z[3] - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 15 4 2 3 15 3 3 3 15 2 4 3 - q z[1] z[2] z[3] + 9 q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 4 4 14 6 2 2 14 5 3 2 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 4 3 3 14 3 4 3 + 2 q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 14 2 5 3 14 2 4 4 14 5 4 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 7 2 2 13 6 3 2 13 5 3 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 13 4 4 3 13 3 5 3 13 3 4 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 2 5 4 12 7 3 2 12 6 3 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 5 4 3 12 4 5 3 + 6 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 12 3 5 4 9 7 5 3 20 2 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[3] 19 2 18 2 3 17 3 2 - q z[1] z[2] z[3] + 3 q z[2] z[3] + 3 q z[1] z[2] z[3] 17 2 3 17 3 3 16 6 + 2 q z[1] z[2] z[3] + q z[2] z[3] + q z[1] z[3] 16 5 2 16 4 2 16 3 2 2 - q z[1] z[3] + 5 q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] 16 2 3 2 16 2 2 3 16 3 3 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 15 5 2 15 3 3 2 15 3 2 3 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 2 3 3 15 4 3 15 4 4 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[2] z[3] 14 6 2 14 5 2 2 14 4 3 2 - 2 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 3 3 3 14 2 4 3 14 5 3 + 7 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 4 4 13 6 2 2 13 5 3 2 + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 13 3 4 3 13 2 5 3 - 5 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 13 2 4 4 13 5 4 12 7 2 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 6 3 2 12 5 3 3 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 4 4 3 12 3 5 3 + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 7 3 2 11 6 3 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 5 4 3 11 4 5 3 + 5 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 11 3 5 4 9 6 5 3 20 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[3] 18 2 17 4 17 2 2 - q z[1] z[2] z[3] - q z[1] z[3] + q z[1] z[2] z[3] 17 2 3 16 5 16 3 2 + 2 q z[2] z[3] + q z[1] z[3] + 4 q z[1] z[2] z[3] 16 2 2 2 16 3 2 16 3 3 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 15 6 15 5 15 5 2 + q z[1] z[3] - q z[1] z[2] z[3] - q z[1] z[3] 15 4 2 15 3 2 2 + 4 q z[1] z[2] z[3] - 10 q z[1] z[2] z[3] 15 2 3 2 15 2 2 3 15 3 3 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 14 6 14 5 2 14 4 2 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 14 3 3 2 14 2 4 2 14 2 3 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 14 4 3 14 4 4 13 7 - 2 q z[1] z[2] z[3] + q z[2] z[3] + q z[1] z[2] z[3] 13 6 2 13 5 2 2 - 2 q z[1] z[2] z[3] + 8 q z[1] z[2] z[3] 13 4 3 2 13 3 4 2 - 6 q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 3 3 3 13 2 4 3 + 5 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 13 5 3 12 6 2 2 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 12 5 3 2 12 4 3 3 - 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 3 4 3 12 2 5 3 12 5 4 - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 6 3 2 11 5 3 3 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 4 4 3 11 3 5 3 + 5 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 10 7 3 2 10 5 4 3 + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 10 4 5 3 10 3 5 4 9 6 4 3 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 5 5 3 8 6 5 3 17 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[3] 17 2 16 4 16 3 - 2 q z[1] z[2] z[3] - q z[1] z[3] + q z[1] z[2] z[3] 16 2 2 16 2 2 16 2 3 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 15 5 15 4 15 3 2 + 2 q z[1] z[3] - 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 15 2 2 2 15 3 2 15 3 3 - 7 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[2] z[3] 14 6 14 5 14 4 2 + q z[1] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 14 3 2 2 14 2 3 2 - 9 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 14 3 3 14 4 3 13 6 - 3 q z[1] z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] 13 5 2 13 4 2 2 13 3 3 2 - 3 q z[1] z[2] z[3] + 8 q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 2 4 2 13 2 3 3 13 4 3 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 6 2 12 5 2 2 12 4 3 2 - q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] - 9 q z[1] z[2] z[3] 12 3 4 2 12 3 3 3 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 12 2 5 2 12 2 4 3 12 5 3 - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 11 5 3 2 11 4 3 3 11 3 5 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 3 4 3 11 2 5 3 11 5 4 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 6 3 2 10 4 4 3 + 3 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 10 3 5 3 10 2 5 4 9 5 4 3 - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 4 5 3 8 7 4 2 8 5 5 3 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 2 16 3 16 2 - 2 q z[2] z[3] - 2 q z[1] z[3] + q z[1] z[2] z[3] 16 2 16 2 2 15 2 2 - q z[1] z[2] z[3] - q z[2] z[3] + 3 q z[1] z[2] z[3] 15 2 2 14 5 14 4 - q z[1] z[2] z[3] + 2 q z[1] z[3] - 3 q z[1] z[2] z[3] 14 3 2 14 2 2 2 + 2 q z[1] z[2] z[3] - 9 q z[1] z[2] z[3] 14 3 2 14 3 3 13 3 2 2 + 5 q z[1] z[2] z[3] - 2 q z[2] z[3] - 4 q z[1] z[2] z[3] 13 2 3 2 13 3 3 13 4 3 + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[2] z[3] 12 5 2 12 5 2 12 4 2 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 9 q z[1] z[2] z[3] 12 3 3 2 12 2 4 2 - 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 2 3 3 12 4 3 11 6 2 + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 5 2 2 11 4 3 2 + 3 q z[1] z[2] z[3] - 11 q z[1] z[2] z[3] 11 3 4 2 11 2 5 2 11 2 4 3 + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 5 3 11 5 4 10 7 2 + 3 q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 10 3 5 2 10 2 5 3 9 6 3 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 9 4 4 3 9 3 5 3 8 6 4 2 + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 8 4 5 3 7 7 4 2 7 5 5 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 2 16 2 15 3 - q z[1] z[3] - 2 q z[2] z[3] - 2 q z[1] z[3] 15 2 15 2 15 2 2 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[2] z[3] 14 4 14 2 2 14 2 2 + q z[1] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 13 5 13 4 13 2 2 2 + 2 q z[1] z[3] - 4 q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] 13 3 2 13 3 3 12 5 + 5 q z[1] z[2] z[3] - 2 q z[2] z[3] - q z[1] z[2] z[3] 12 4 2 12 3 2 2 12 2 3 2 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 12 4 2 12 4 3 11 5 2 - q z[1] z[2] z[3] - 2 q z[2] z[3] + q z[1] z[2] z[3] 11 5 2 11 4 2 2 11 3 3 2 - q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 11 2 3 3 11 5 2 11 4 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 6 2 10 5 2 2 - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 10 4 3 2 10 3 4 2 - 10 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 10 2 5 2 10 2 4 3 10 5 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 9 7 2 9 5 3 2 9 3 5 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 8 6 3 2 8 5 4 2 8 4 4 3 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 3 5 3 7 6 4 2 15 2 - 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[3] 15 2 14 3 14 2 - q z[2] z[3] - 2 q z[1] z[3] + 4 q z[1] z[2] z[3] 14 2 14 2 14 2 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[2] z[3] 13 4 13 3 13 2 2 + q z[1] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 3 2 12 6 12 5 12 4 + q z[2] z[3] - q z[1] + 2 q z[1] z[3] - 6 q z[1] z[2] z[3] 12 3 2 12 2 2 2 + 2 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 12 3 2 12 3 3 11 4 2 + 6 q z[1] z[2] z[3] - q z[2] z[3] + 4 q z[1] z[2] z[3] 11 3 2 2 11 2 3 2 11 4 2 + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 4 3 10 6 10 5 2 - q z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 10 4 2 2 10 3 3 2 + 4 q z[1] z[2] z[3] - 9 q z[1] z[2] z[3] 10 2 4 2 10 5 2 10 5 3 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[2] z[3] 9 6 2 9 4 3 2 9 3 4 2 - 3 q z[1] z[2] z[3] - 8 q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] 9 2 4 3 9 5 3 8 5 3 2 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 8 4 4 2 8 3 5 2 8 2 5 3 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 6 3 2 7 5 4 2 7 3 5 3 + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 6 6 4 2 14 2 14 - q z[1] z[2] z[3] - 2 q z[1] z[3] + 2 q z[1] z[2] z[3] 13 4 13 3 13 2 + q z[1] - q z[1] z[3] + 5 q z[1] z[2] z[3] 13 2 13 2 2 12 5 12 4 - 2 q z[1] z[2] z[3] + q z[2] z[3] - q z[1] + 2 q z[1] z[3] 12 3 12 2 2 12 3 - 5 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 2 2 12 3 2 11 5 - 2 q z[1] z[2] z[3] + 3 q z[2] z[3] + q z[1] z[3] 11 4 11 3 2 11 2 2 2 - 6 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 11 3 2 11 4 2 10 5 + 6 q z[1] z[2] z[3] + q z[2] z[3] + q z[1] z[2] z[3] 10 4 2 10 3 2 2 + 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 10 4 2 9 6 9 5 2 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 9 4 2 2 9 3 3 2 9 2 4 2 + q z[1] z[2] z[3] - 8 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 9 5 2 9 5 3 8 6 2 - 3 q z[1] z[2] z[3] + q z[2] z[3] - 2 q z[1] z[2] z[3] 8 4 3 2 8 3 4 2 8 2 4 3 - 3 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 5 3 7 6 3 7 5 3 2 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 7 4 4 2 7 3 5 2 7 2 5 3 - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 7 3 6 5 4 2 6 3 5 3 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 14 14 13 3 13 2 + q z[3] - q z[1] z[3] + q z[2] z[3] + q z[1] - q z[1] z[3] 13 12 2 12 2 + 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 2 2 11 5 11 4 11 3 + q z[2] z[3] - q z[1] + q z[1] z[3] - 7 q z[1] z[2] z[3] 11 2 2 11 3 11 2 2 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 3 2 10 4 10 3 2 + 5 q z[2] z[3] - 3 q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] 10 2 3 10 2 2 2 10 3 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 10 4 2 9 6 9 5 + q z[2] z[3] + q z[1] z[2] + 2 q z[1] z[2] z[3] 9 4 2 9 3 2 2 9 2 3 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 9 4 2 9 4 3 8 5 2 - 2 q z[1] z[2] z[3] + q z[2] z[3] - 4 q z[1] z[2] z[3] 8 3 3 2 8 2 4 2 8 5 2 - 5 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 8 5 3 7 6 2 7 5 3 + q z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 4 3 2 7 3 4 2 7 2 5 2 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 5 3 6 6 3 6 5 3 2 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 4 4 2 6 3 5 2 6 2 5 3 - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 5 5 4 2 13 13 12 3 - q z[1] z[2] z[3] - q z[1] z[3] + 2 q z[2] z[3] + q z[1] 12 11 2 11 2 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 2 2 10 5 10 4 10 4 + q z[2] z[3] - q z[1] - q z[1] z[2] + q z[1] z[3] 10 3 10 2 2 10 3 - 6 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 2 2 10 3 2 9 5 - q z[1] z[2] z[3] + 4 q z[2] z[3] + q z[1] z[2] 9 4 9 3 2 9 2 3 - q z[1] z[2] z[3] + 8 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 9 4 9 3 2 9 4 2 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[2] z[3] 8 6 8 5 8 4 2 + q z[1] z[2] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 2 4 8 2 3 2 8 4 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 8 5 2 7 5 2 7 4 3 - q z[2] z[3] - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 3 3 2 7 2 4 2 7 5 2 - 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 7 5 3 6 6 2 6 5 3 + q z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 6 3 4 2 6 2 5 2 5 6 3 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 4 4 2 5 3 5 2 12 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[2] z[3] 11 3 11 11 2 10 4 + 2 q z[1] + 2 q z[1] z[2] z[3] - q z[2] z[3] - q z[1] 10 3 10 2 10 3 9 5 - q z[1] z[2] - 2 q z[1] z[2] z[3] - q z[2] z[3] - q z[1] 9 3 9 2 2 9 3 - 4 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 3 2 8 5 8 3 2 + 2 q z[2] z[3] + 2 q z[1] z[2] + 7 q z[1] z[2] z[3] 8 2 3 8 4 8 3 2 - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 4 2 7 5 7 4 2 - q z[2] z[3] + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 7 3 3 7 2 4 7 5 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 4 2 7 5 2 6 5 2 - q z[1] z[2] z[3] - q z[2] z[3] - 3 q z[1] z[2] z[3] 6 4 3 6 3 3 2 6 2 5 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 2 4 2 6 5 2 5 5 3 + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 5 3 4 2 5 2 5 2 4 4 4 2 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 4 3 5 2 12 11 2 10 3 + q z[1] z[2] z[3] - q z[1] + q z[1] + 2 q z[1] 10 2 10 10 2 9 4 - q z[1] z[2] + 2 q z[1] z[2] z[3] - 3 q z[2] z[3] - q z[1] 9 3 9 2 9 2 - q z[1] z[2] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 3 8 5 8 4 8 3 - 2 q z[2] z[3] - q z[1] + q z[1] z[2] - 2 q z[1] z[2] z[3] 8 2 2 8 3 7 5 + 7 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] 7 4 7 3 2 7 2 3 + q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 7 4 7 3 2 7 4 2 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[2] z[3] 6 4 2 6 3 3 6 2 4 - 4 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 6 5 6 4 2 6 5 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[2] z[3] 5 6 2 5 5 2 5 4 3 - q z[1] z[2] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 5 2 5 5 2 4 2 5 5 2 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 4 5 3 4 2 5 2 3 3 5 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 10 2 10 9 3 9 2 - q z[1] + 2 q z[1] - q z[1] z[2] + q z[1] - q z[1] z[2] 9 9 2 8 4 8 3 + q z[1] z[2] z[3] - 4 q z[2] z[3] - 2 q z[1] - q z[1] z[2] 8 2 8 2 8 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 3 q z[2] z[3] 7 4 7 2 2 7 3 + 2 q z[1] z[2] + 5 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 6 5 6 3 2 6 2 3 + q z[1] z[2] + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 6 4 6 4 2 5 5 2 + 2 q z[1] z[2] z[3] - 2 q z[2] z[3] - q z[1] z[2] 5 4 2 5 3 3 5 2 4 - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 5 5 5 5 2 4 4 3 + q z[1] z[2] z[3] - q z[2] z[3] + 2 q z[1] z[2] z[3] 4 2 5 4 2 4 2 4 5 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 3 2 5 2 11 9 2 9 8 2 + q z[1] z[2] z[3] - q + 2 q z[1] - q z[1] z[2] - 2 q z[1] z[2] 8 2 7 4 7 2 7 3 - 2 q z[2] z[3] - q z[1] + q z[1] z[2] z[3] - 2 q z[2] z[3] 6 4 6 2 2 6 3 + 2 q z[1] z[2] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 6 4 5 5 5 4 2 5 2 3 + q z[2] z[3] + q z[1] z[2] - q z[1] z[2] - 3 q z[1] z[2] z[3] 5 4 5 5 5 4 2 4 5 2 + q z[1] z[2] z[3] + q z[2] z[3] - q z[2] z[3] - q z[1] z[2] 4 4 2 4 3 3 4 2 4 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 4 5 2 3 4 3 3 2 5 8 2 - q z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] 8 8 2 7 2 7 2 6 4 - q z[1] z[2] + q z[2] - 2 q z[1] z[2] - q z[2] z[3] - q z[1] 6 3 5 4 5 3 2 5 2 2 + q z[1] z[2] + 2 q z[1] z[2] - q z[1] z[2] + q z[1] z[2] z[3] 5 3 5 4 4 4 2 - 2 q z[1] z[2] z[3] + 2 q z[2] z[3] - q z[1] z[2] 4 2 3 4 5 3 3 3 - 2 q z[1] z[2] z[3] + q z[2] z[3] + 2 q z[1] z[2] z[3] 3 2 4 2 2 5 8 7 2 - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] + q z[1] 7 7 2 6 3 6 2 6 2 - 2 q z[1] z[2] + q z[2] - q z[1] - 2 q z[1] z[2] + q z[1] z[2] 6 3 5 3 5 2 2 5 3 + q z[2] + 2 q z[1] z[2] - q z[1] z[2] + q z[2] z[3] 4 4 4 3 2 4 3 4 4 + q z[1] z[2] - q z[1] z[2] - 2 q z[1] z[2] z[3] + 3 q z[2] z[3] 3 4 2 3 2 3 3 5 - q z[1] z[2] - q z[1] z[2] z[3] + q z[2] z[3] 2 3 3 2 2 4 2 5 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 6 6 2 4 3 4 2 2 + q z[2] - 2 q z[1] z[2] + 2 q z[2] + q z[1] z[2] - q z[1] z[2] 4 3 4 3 3 3 2 3 3 + q z[1] z[2] + q z[2] z[3] - q z[1] z[2] - q z[1] z[2] z[3] 3 4 2 5 2 4 5 + 2 q z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] 5 2 4 2 3 3 3 2 2 + q z[2] + q z[1] z[2] + q z[1] z[2] - q z[1] z[2] 3 3 3 4 2 3 2 2 4 + q z[1] z[2] - q z[2] - q z[1] z[2] + q z[1] z[2] 2 4 3 2 3 3 2 2 2 + q z[2] z[3] + q z[1] z[2] - q z[2] - q z[1] z[2] 2 3 2 4 4 5 5 + 2 q z[1] z[2] - q z[2] + q z[1] z[2] - q z[2] + z[1] z[2] 2 2 2 3 2 2 3 4 + q z[1] z[2] - q z[2] - q z[1] z[2] + q z[1] z[2] - q z[2] 4 3 3 4 2 + z[1] z[2] - q z[2] + z[1] z[2] - z[2] ) (q - z[2]) (q - z[2]) / 4 6 (-1 + z[1]) (z[2] - 1) / ((q z[3] - 1) (q z[1] z[3] - 1) / 5 3 2 (q z[1] z[3] - 1) (q z[3] - 1) (q z[1] z[3] - 1) (q z[1] z[3] - 1) 3 4 2 (q z[1] z[3] - 1) (q z[1] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) 2 (q z[3] - 1) (q z[3] - 1)) and in Maple input notation: (q^23*z[1]^6*z[2]^2*z[3]^4-q^23*z[1]^5*z[2]^3*z[3]^4-q^22*z[1]^7*z[2]^2*z[3]^4+ q^22*z[1]^6*z[2]^3*z[3]^4+q^23*z[1]^5*z[2]^2*z[3]^4-q^23*z[1]^4*z[2]^3*z[3]^4-q ^22*z[1]^7*z[2]*z[3]^4+q^22*z[1]^4*z[2]^4*z[3]^4-q^21*z[1]^7*z[2]^2*z[3]^4+2*q^ 21*z[1]^6*z[2]^3*z[3]^4-q^21*z[1]^5*z[2]^4*z[3]^4-q^20*z[1]^7*z[2]^3*z[3]^4+q^ 23*z[1]^4*z[2]^2*z[3]^4-q^23*z[1]^3*z[2]^3*z[3]^4-q^22*z[1]^4*z[2]^3*z[3]^4+q^ 22*z[1]^3*z[2]^4*z[3]^4+q^21*z[1]^5*z[2]^3*z[3]^4-q^20*z[1]^7*z[2]^2*z[3]^4+q^ 20*z[1]^6*z[2]^3*z[3]^4-q^20*z[1]^5*z[2]^4*z[3]^4+q^23*z[1]^3*z[2]^2*z[3]^4-q^ 23*z[1]^2*z[2]^3*z[3]^4-q^22*z[1]^3*z[2]^3*z[3]^4+q^22*z[1]^2*z[2]^4*z[3]^4+q^ 21*z[1]^3*z[2]^4*z[3]^4+q^20*z[1]^5*z[2]^3*z[3]^4-q^20*z[1]^3*z[2]^5*z[3]^4+q^ 19*z[1]^6*z[2]^3*z[3]^4-2*q^19*z[1]^5*z[2]^4*z[3]^4-q^18*z[1]^6*z[2]^4*z[3]^4+q ^18*z[1]^5*z[2]^5*z[3]^4+q^17*z[1]^7*z[2]^4*z[3]^4+q^23*z[1]^2*z[2]^2*z[3]^4-q^ 23*z[1]*z[2]^3*z[3]^4-q^22*z[1]^5*z[2]*z[3]^3+q^22*z[1]^4*z[2]^2*z[3]^3-q^22*z[ 1]^2*z[2]^3*z[3]^4+q^21*z[1]^6*z[2]*z[3]^3-q^21*z[1]^5*z[2]^2*z[3]^3-q^21*z[1]^ 3*z[2]^3*z[3]^4+q^21*z[1]^2*z[2]^4*z[3]^4+q^20*z[1]^7*z[2]*z[3]^3-q^20*z[1]^6*z [2]^2*z[3]^3+2*q^20*z[1]^3*z[2]^4*z[3]^4+q^19*z[1]^7*z[2]^2*z[3]^3+q^19*z[1]^5* z[2]^3*z[3]^4-q^19*z[1]^4*z[2]^4*z[3]^4-q^19*z[1]^3*z[2]^5*z[3]^4+q^18*z[1]^6*z [2]^3*z[3]^4-3*q^18*z[1]^5*z[2]^4*z[3]^4+q^18*z[1]^4*z[2]^5*z[3]^4+q^17*z[1]^7* z[2]^3*z[3]^4+q^17*z[1]^5*z[2]^5*z[3]^4+q^16*z[1]^7*z[2]^4*z[3]^4-q^16*z[1]^6*z [2]^5*z[3]^4+q^23*z[1]*z[2]^2*z[3]^4-q^22*z[1]^4*z[2]*z[3]^3+q^22*z[1]^3*z[2]^2 *z[3]^3-q^22*z[1]*z[2]^3*z[3]^4+q^21*z[1]^6*z[3]^3-q^21*z[1]^5*z[2]*z[3]^3+q^21 *z[1]^4*z[2]^2*z[3]^3-q^21*z[1]^3*z[2]^3*z[3]^3-q^21*z[1]^2*z[2]^3*z[3]^4+2*q^ 20*z[1]^6*z[2]*z[3]^3-4*q^20*z[1]^5*z[2]^2*z[3]^3+q^20*z[1]^4*z[2]^3*z[3]^3-q^ 20*z[1]^3*z[2]^3*z[3]^4+3*q^20*z[1]^2*z[2]^4*z[3]^4+q^19*z[1]^7*z[2]*z[3]^3+q^ 19*z[1]^5*z[2]^3*z[3]^3+q^19*z[1]^4*z[2]^3*z[3]^4+q^19*z[1]^3*z[2]^4*z[3]^4-q^ 19*z[1]^2*z[2]^5*z[3]^4+2*q^18*z[1]^7*z[2]^2*z[3]^3-q^18*z[1]^6*z[2]^3*z[3]^3+q ^18*z[1]^5*z[2]^3*z[3]^4-3*q^18*z[1]^4*z[2]^4*z[3]^4-q^18*z[1]^3*z[2]^5*z[3]^4+ q^17*z[1]^6*z[2]^3*z[3]^4-3*q^17*z[1]^5*z[2]^4*z[3]^4+2*q^17*z[1]^4*z[2]^5*z[3] ^4+q^16*z[1]^6*z[2]^4*z[3]^4+q^16*z[1]^5*z[2]^5*z[3]^4+q^15*z[1]^7*z[2]^4*z[3]^ 4-q^15*z[1]^6*z[2]^5*z[3]^4+q^23*z[2]^2*z[3]^4-q^22*z[1]^3*z[2]*z[3]^3+q^22*z[1 ]^2*z[2]^2*z[3]^3-q^21*z[1]^4*z[2]*z[3]^3+2*q^21*z[1]^3*z[2]^2*z[3]^3-q^21*z[1] ^2*z[2]^3*z[3]^3-q^21*z[1]*z[2]^3*z[3]^4-q^20*z[1]^4*z[2]^2*z[3]^3-q^20*z[1]^3* z[2]^3*z[3]^3-2*q^20*z[1]^2*z[2]^3*z[3]^4+q^20*z[1]*z[2]^4*z[3]^4+2*q^19*z[1]^6 *z[2]*z[3]^3-5*q^19*z[1]^5*z[2]^2*z[3]^3+3*q^19*z[1]^4*z[2]^3*z[3]^3+3*q^19*z[1 ]^2*z[2]^4*z[3]^4+q^18*z[1]^7*z[2]*z[3]^3+q^18*z[1]^6*z[2]^2*z[3]^3+q^18*z[1]^4 *z[2]^3*z[3]^4-q^18*z[1]^2*z[2]^5*z[3]^4+q^17*z[1]^7*z[2]^2*z[3]^3-q^17*z[1]^6* z[2]^3*z[3]^3+q^17*z[1]^5*z[2]^3*z[3]^4-4*q^17*z[1]^4*z[2]^4*z[3]^4-q^17*z[1]^3 *z[2]^5*z[3]^4-q^16*z[1]^5*z[2]^4*z[3]^4+3*q^16*z[1]^4*z[2]^5*z[3]^4+q^15*z[1]^ 6*z[2]^4*z[3]^4-q^14*z[1]^6*z[2]^5*z[3]^4-q^22*z[1]^2*z[2]*z[3]^3+q^22*z[1]*z[2 ]^2*z[3]^3-q^21*z[1]^3*z[2]*z[3]^3+2*q^21*z[1]^2*z[2]^2*z[3]^3+q^20*z[1]^3*z[2] ^2*z[3]^3-2*q^20*z[1]^2*z[2]^3*z[3]^3-2*q^20*z[1]*z[2]^3*z[3]^4-3*q^19*z[1]^4*z [2]^2*z[3]^3-q^19*z[1]^2*z[2]^3*z[3]^4+2*q^19*z[1]*z[2]^4*z[3]^4+q^18*z[1]^6*z[ 2]*z[3]^3-4*q^18*z[1]^5*z[2]^2*z[3]^3+5*q^18*z[1]^4*z[2]^3*z[3]^3+q^18*z[1]^3*z [2]^3*z[3]^4+3*q^18*z[1]^2*z[2]^4*z[3]^4+q^17*z[1]^6*z[2]^2*z[3]^3+q^17*z[1]^5* z[2]^3*z[3]^3-q^17*z[1]^4*z[2]^4*z[3]^3+q^17*z[1]^4*z[2]^3*z[3]^4-2*q^17*z[1]^3 *z[2]^4*z[3]^4-2*q^17*z[1]^2*z[2]^5*z[3]^4-2*q^16*z[1]^6*z[2]^3*z[3]^3-3*q^16*z [1]^4*z[2]^4*z[3]^4-2*q^15*z[1]^7*z[2]^3*z[3]^3+q^15*z[1]^6*z[2]^4*z[3]^3+3*q^ 15*z[1]^4*z[2]^5*z[3]^4-q^13*z[1]^6*z[2]^5*z[3]^4-q^22*z[1]*z[2]*z[3]^3-q^21*z[ 1]^2*z[2]*z[3]^3+2*q^21*z[1]*z[2]^2*z[3]^3+2*q^20*z[1]^2*z[2]^2*z[3]^3-q^20*z[2 ]^3*z[3]^4-q^19*z[1]^6*z[3]^2+q^19*z[1]^5*z[2]*z[3]^2-3*q^19*z[1]^2*z[2]^3*z[3] ^3-2*q^19*z[1]*z[2]^3*z[3]^4-q^18*z[1]^6*z[2]*z[3]^2-3*q^18*z[1]^4*z[2]^2*z[3]^ 3+q^18*z[1]^3*z[2]^3*z[3]^3+2*q^18*z[1]*z[2]^4*z[3]^4-q^17*z[1]^7*z[2]*z[3]^2+q ^17*z[1]^6*z[2]*z[3]^3-4*q^17*z[1]^5*z[2]^2*z[3]^3+8*q^17*z[1]^4*z[2]^3*z[3]^3- q^17*z[1]^3*z[2]^4*z[3]^3+q^17*z[1]^3*z[2]^3*z[3]^4+2*q^17*z[1]^2*z[2]^4*z[3]^4 -2*q^16*z[1]^4*z[2]^4*z[3]^3+q^16*z[1]^3*z[2]^5*z[3]^3-2*q^16*z[1]^3*z[2]^4*z[3 ]^4-2*q^16*z[1]^2*z[2]^5*z[3]^4-4*q^15*z[1]^6*z[2]^3*z[3]^3+2*q^15*z[1]^5*z[2]^ 4*z[3]^3-q^15*z[1]^4*z[2]^5*z[3]^3-2*q^15*z[1]^4*z[2]^4*z[3]^4+q^15*z[1]^3*z[2] ^5*z[3]^4-2*q^14*z[1]^7*z[2]^3*z[3]^3+2*q^14*z[1]^6*z[2]^4*z[3]^3+3*q^14*z[1]^4 *z[2]^5*z[3]^4-q^13*z[1]^7*z[2]^4*z[3]^3-q^13*z[1]^5*z[2]^5*z[3]^4-q^12*z[1]^6* z[2]^5*z[3]^4-q^22*z[2]*z[3]^3-q^21*z[1]*z[2]*z[3]^3+q^20*z[1]^4*z[3]^2-q^20*z[ 1]^3*z[2]*z[3]^2+2*q^20*z[1]*z[2]^2*z[3]^3-q^19*z[1]^5*z[3]^2+2*q^19*z[1]^4*z[2 ]*z[3]^2+2*q^19*z[1]^2*z[2]^2*z[3]^3-q^19*z[1]*z[2]^3*z[3]^3-q^19*z[2]^3*z[3]^4 -q^18*z[1]^6*z[3]^2+2*q^18*z[1]^5*z[2]*z[3]^2-q^18*z[1]^4*z[2]^2*z[3]^2-q^18*z[ 1]^3*z[2]^2*z[3]^3-4*q^18*z[1]^2*z[2]^3*z[3]^3-q^18*z[1]*z[2]^3*z[3]^4-3*q^17*z [1]^6*z[2]*z[3]^2+q^17*z[1]^5*z[2]^2*z[3]^2-4*q^17*z[1]^4*z[2]^2*z[3]^3+6*q^17* z[1]^3*z[2]^3*z[3]^3+q^17*z[1]^2*z[2]^3*z[3]^4+2*q^17*z[1]*z[2]^4*z[3]^4-q^16*z [1]^7*z[2]*z[3]^2+q^16*z[1]^6*z[2]^2*z[3]^2+q^16*z[1]^6*z[2]*z[3]^3-3*q^16*z[1] ^5*z[2]^2*z[3]^3+9*q^16*z[1]^4*z[2]^3*z[3]^3-3*q^16*z[1]^3*z[2]^4*z[3]^3+q^16*z [1]^2*z[2]^5*z[3]^3+2*q^16*z[1]^2*z[2]^4*z[3]^4-q^16*z[1]*z[2]^5*z[3]^4-q^15*z[ 1]^7*z[2]^2*z[3]^2+q^15*z[1]^6*z[2]^2*z[3]^3-3*q^15*z[1]^5*z[2]^3*z[3]^3-2*q^15 *z[1]^4*z[2]^4*z[3]^3-3*q^15*z[1]^3*z[2]^4*z[3]^4-2*q^15*z[1]^2*z[2]^5*z[3]^4-5 *q^14*z[1]^6*z[2]^3*z[3]^3+5*q^14*z[1]^5*z[2]^4*z[3]^3-q^14*z[1]^4*z[2]^5*z[3]^ 3-q^14*z[1]^4*z[2]^4*z[3]^4+2*q^14*z[1]^3*z[2]^5*z[3]^4-q^13*z[1]^7*z[2]^3*z[3] ^3+q^13*z[1]^6*z[2]^4*z[3]^3+2*q^13*z[1]^4*z[2]^5*z[3]^4-q^12*z[1]^7*z[2]^4*z[3 ]^3-q^12*z[1]^5*z[2]^5*z[3]^4-q^21*z[2]*z[3]^3+q^20*z[1]^3*z[3]^2-q^20*z[1]^2*z [2]*z[3]^2+q^19*z[1]^2*z[2]^2*z[3]^2+3*q^19*z[1]*z[2]^2*z[3]^3-q^18*z[1]^5*z[3] ^2+5*q^18*z[1]^4*z[2]*z[3]^2-2*q^18*z[1]^3*z[2]^2*z[3]^2+2*q^18*z[1]^2*z[2]^2*z [3]^3-3*q^18*z[1]*z[2]^3*z[3]^3-q^18*z[2]^3*z[3]^4-q^17*z[1]^6*z[3]^2-q^17*z[1] ^4*z[2]^2*z[3]^2-3*q^17*z[1]^3*z[2]^2*z[3]^3-2*q^17*z[1]^2*z[2]^3*z[3]^3-q^17*z [1]*z[2]^4*z[3]^3-3*q^16*z[1]^6*z[2]*z[3]^2+3*q^16*z[1]^5*z[2]^2*z[3]^2-3*q^16* z[1]^4*z[2]^2*z[3]^3+9*q^16*z[1]^3*z[2]^3*z[3]^3-q^16*z[1]^2*z[2]^4*z[3]^3+3*q^ 16*z[1]*z[2]^4*z[3]^4-q^15*z[1]^7*z[2]*z[3]^2-q^15*z[1]^5*z[2]^2*z[3]^3+6*q^15* z[1]^4*z[2]^3*z[3]^3-4*q^15*z[1]^3*z[2]^4*z[3]^3+2*q^15*z[1]^2*z[2]^5*z[3]^3-q^ 15*z[1]*z[2]^5*z[3]^4+q^14*z[1]^6*z[2]^2*z[3]^3-5*q^14*z[1]^5*z[2]^3*z[3]^3-2*q ^14*z[1]^3*z[2]^4*z[3]^4-q^14*z[1]^2*z[2]^5*z[3]^4-3*q^13*z[1]^6*z[2]^3*z[3]^3+ 6*q^13*z[1]^5*z[2]^4*z[3]^3-2*q^13*z[1]^4*z[2]^5*z[3]^3+2*q^13*z[1]^3*z[2]^5*z[ 3]^4+q^12*z[1]^4*z[2]^5*z[3]^4-q^11*z[1]^5*z[2]^5*z[3]^4+q^20*z[1]^2*z[3]^2-q^ 20*z[1]*z[2]*z[3]^2-q^19*z[1]^2*z[2]*z[3]^2+q^19*z[2]^2*z[3]^3+2*q^18*z[1]^3*z[ 2]*z[3]^2+4*q^18*z[1]*z[2]^2*z[3]^3-q^17*z[1]^5*z[3]^2+5*q^17*z[1]^4*z[2]*z[3]^ 2-4*q^17*z[1]^3*z[2]^2*z[3]^2+q^17*z[1]^2*z[2]^3*z[3]^2-q^17*z[1]^2*z[2]^2*z[3] 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2]^3*z[3]^2-3*q^6*z[1]^4*z[2]^4*z[3]^2+2*q^6*z[1]^3*z[2]^5*z[3]^2-q^6*z[1]^2*z[ 2]^5*z[3]^3-q^5*z[1]^5*z[2]^4*z[3]^2-q^13*z[1]*z[3]+2*q^13*z[2]*z[3]+q^12*z[1]^ 3+3*q^12*z[1]*z[2]*z[3]+q^11*z[1]^2*z[2]*z[3]-2*q^11*z[1]*z[2]^2*z[3]+q^11*z[2] ^2*z[3]^2-q^10*z[1]^5-q^10*z[1]^4*z[2]+q^10*z[1]^4*z[3]-6*q^10*z[1]^3*z[2]*z[3] +4*q^10*z[1]^2*z[2]^2*z[3]-q^10*z[1]*z[2]^3*z[3]-q^10*z[1]*z[2]^2*z[3]^2+4*q^10 *z[2]^3*z[3]^2+q^9*z[1]^5*z[2]-q^9*z[1]^4*z[2]*z[3]+8*q^9*z[1]^3*z[2]^2*z[3]-2* q^9*z[1]^2*z[2]^3*z[3]+q^9*z[1]*z[2]^4*z[3]+2*q^9*z[1]*z[2]^3*z[3]^2+q^9*z[2]^4 *z[3]^2+q^8*z[1]^6*z[2]+q^8*z[1]^5*z[2]*z[3]-q^8*z[1]^4*z[2]^2*z[3]-q^8*z[1]^2* z[2]^4*z[3]-q^8*z[1]^2*z[2]^3*z[3]^2-2*q^8*z[1]*z[2]^4*z[3]^2-q^8*z[2]^5*z[3]^2 -4*q^7*z[1]^5*z[2]^2*z[3]+q^7*z[1]^4*z[2]^3*z[3]-2*q^7*z[1]^3*z[2]^3*z[3]^2+4*q ^7*z[1]^2*z[2]^4*z[3]^2-2*q^7*z[1]*z[2]^5*z[3]^2+q^7*z[2]^5*z[3]^3-q^6*z[1]^6*z [2]^2*z[3]+3*q^6*z[1]^5*z[2]^3*z[3]+2*q^6*z[1]^3*z[2]^4*z[3]^2+q^6*z[1]^2*z[2]^ 5*z[3]^2+q^5*z[1]^6*z[2]^3*z[3]-2*q^5*z[1]^4*z[2]^4*z[3]^2+2*q^5*z[1]^3*z[2]^5* z[3]^2+q^12*z[2]*z[3]+2*q^11*z[1]^3+2*q^11*z[1]*z[2]*z[3]-q^11*z[2]^2*z[3]-q^10 *z[1]^4-q^10*z[1]^3*z[2]-2*q^10*z[1]*z[2]^2*z[3]-q^10*z[2]^3*z[3]-q^9*z[1]^5-4* q^9*z[1]^3*z[2]*z[3]+6*q^9*z[1]^2*z[2]^2*z[3]-q^9*z[1]*z[2]^3*z[3]+2*q^9*z[2]^3 *z[3]^2+2*q^8*z[1]^5*z[2]+7*q^8*z[1]^3*z[2]^2*z[3]-4*q^8*z[1]^2*z[2]^3*z[3]+2*q ^8*z[1]*z[2]^4*z[3]+q^8*z[1]*z[2]^3*z[3]^2-q^8*z[2]^4*z[3]^2+q^7*z[1]^5*z[2]*z[ 3]-3*q^7*z[1]^4*z[2]^2*z[3]+q^7*z[1]^3*z[2]^3*z[3]-2*q^7*z[1]^2*z[2]^4*z[3]+q^7 *z[1]*z[2]^5*z[3]-q^7*z[1]*z[2]^4*z[3]^2-q^7*z[2]^5*z[3]^2-3*q^6*z[1]^5*z[2]^2* z[3]+3*q^6*z[1]^4*z[2]^3*z[3]-q^6*z[1]^3*z[2]^3*z[3]^2-q^6*z[1]^2*z[2]^5*z[3]+4 *q^6*z[1]^2*z[2]^4*z[3]^2-2*q^6*z[1]*z[2]^5*z[3]^2+2*q^5*z[1]^5*z[2]^3*z[3]+q^5 *z[1]^3*z[2]^4*z[3]^2+2*q^5*z[1]^2*z[2]^5*z[3]^2-q^4*z[1]^4*z[2]^4*z[3]^2+q^4*z [1]^3*z[2]^5*z[3]^2-q^12*z[1]+q^11*z[1]^2+2*q^10*z[1]^3-q^10*z[1]^2*z[2]+2*q^10 *z[1]*z[2]*z[3]-3*q^10*z[2]^2*z[3]-q^9*z[1]^4-q^9*z[1]^3*z[2]-q^9*z[1]^2*z[2]*z [3]-q^9*z[1]*z[2]^2*z[3]-2*q^9*z[2]^3*z[3]-q^8*z[1]^5+q^8*z[1]^4*z[2]-2*q^8*z[1 ]^3*z[2]*z[3]+7*q^8*z[1]^2*z[2]^2*z[3]-2*q^8*z[1]*z[2]^3*z[3]+2*q^7*z[1]^5*z[2] +q^7*z[1]^4*z[2]*z[3]+4*q^7*z[1]^3*z[2]^2*z[3]-4*q^7*z[1]^2*z[2]^3*z[3]+2*q^7*z [1]*z[2]^4*z[3]+q^7*z[1]*z[2]^3*z[3]^2-2*q^7*z[2]^4*z[3]^2-4*q^6*z[1]^4*z[2]^2* z[3]+3*q^6*z[1]^3*z[2]^3*z[3]-3*q^6*z[1]^2*z[2]^4*z[3]+q^6*z[1]*z[2]^5*z[3]-q^6 *z[1]*z[2]^4*z[3]^2-2*q^6*z[2]^5*z[3]^2-q^5*z[1]^6*z[2]^2-q^5*z[1]^5*z[2]^2*z[3 ]+3*q^5*z[1]^4*z[2]^3*z[3]-q^5*z[1]^2*z[2]^5*z[3]+3*q^5*z[1]^2*z[2]^4*z[3]^2-q^ 5*z[1]*z[2]^5*z[3]^2+q^4*z[1]^5*z[2]^3*z[3]+q^4*z[1]^2*z[2]^5*z[3]^2+q^3*z[1]^3 *z[2]^5*z[3]^2-q^11*z[1]+2*q^10*z[1]^2-q^10*z[1]*z[2]+q^9*z[1]^3-q^9*z[1]^2*z[2 ]+q^9*z[1]*z[2]*z[3]-4*q^9*z[2]^2*z[3]-2*q^8*z[1]^4-q^8*z[1]^3*z[2]-q^8*z[1]^2* z[2]*z[3]+q^8*z[1]*z[2]^2*z[3]-3*q^8*z[2]^3*z[3]+2*q^7*z[1]^4*z[2]+5*q^7*z[1]^2 *z[2]^2*z[3]-2*q^7*z[1]*z[2]^3*z[3]+q^6*z[1]^5*z[2]+q^6*z[1]^3*z[2]^2*z[3]-3*q^ 6*z[1]^2*z[2]^3*z[3]+2*q^6*z[1]*z[2]^4*z[3]-2*q^6*z[2]^4*z[3]^2-q^5*z[1]^5*z[2] ^2-2*q^5*z[1]^4*z[2]^2*z[3]+3*q^5*z[1]^3*z[2]^3*z[3]-3*q^5*z[1]^2*z[2]^4*z[3]+q ^5*z[1]*z[2]^5*z[3]-q^5*z[2]^5*z[3]^2+2*q^4*z[1]^4*z[2]^3*z[3]-q^4*z[1]^2*z[2]^ 5*z[3]+q^4*z[1]^2*z[2]^4*z[3]^2-q^4*z[1]*z[2]^5*z[3]^2+q^3*z[1]^2*z[2]^5*z[3]^2 -q^11+2*q^9*z[1]^2-q^9*z[1]*z[2]-2*q^8*z[1]^2*z[2]-2*q^8*z[2]^2*z[3]-q^7*z[1]^4 +q^7*z[1]*z[2]^2*z[3]-2*q^7*z[2]^3*z[3]+2*q^6*z[1]^4*z[2]+2*q^6*z[1]^2*z[2]^2*z [3]-2*q^6*z[1]*z[2]^3*z[3]+q^6*z[2]^4*z[3]+q^5*z[1]^5*z[2]-q^5*z[1]^4*z[2]^2-3* q^5*z[1]^2*z[2]^3*z[3]+q^5*z[1]*z[2]^4*z[3]+q^5*z[2]^5*z[3]-q^5*z[2]^4*z[3]^2-q ^4*z[1]^5*z[2]^2-q^4*z[1]^4*z[2]^2*z[3]+3*q^4*z[1]^3*z[2]^3*z[3]-3*q^4*z[1]^2*z [2]^4*z[3]-q^4*z[2]^5*z[3]^2+q^3*z[1]^4*z[2]^3*z[3]-q^3*z[1]^2*z[2]^5*z[3]+q^8* z[1]^2-q^8*z[1]*z[2]+q^8*z[2]^2-2*q^7*z[1]^2*z[2]-q^7*z[2]^2*z[3]-q^6*z[1]^4+q^ 6*z[1]^3*z[2]+2*q^5*z[1]^4*z[2]-q^5*z[1]^3*z[2]^2+q^5*z[1]^2*z[2]^2*z[3]-2*q^5* z[1]*z[2]^3*z[3]+2*q^5*z[2]^4*z[3]-q^4*z[1]^4*z[2]^2-2*q^4*z[1]^2*z[2]^3*z[3]+q ^4*z[2]^5*z[3]+2*q^3*z[1]^3*z[2]^3*z[3]-3*q^3*z[1]^2*z[2]^4*z[3]-q^2*z[1]^2*z[2 ]^5*z[3]+q^8*z[2]+q^7*z[1]^2-2*q^7*z[1]*z[2]+q^7*z[2]^2-q^6*z[1]^3-2*q^6*z[1]^2 *z[2]+q^6*z[1]*z[2]^2+q^6*z[2]^3+2*q^5*z[1]^3*z[2]-q^5*z[1]^2*z[2]^2+q^5*z[2]^3 *z[3]+q^4*z[1]^4*z[2]-q^4*z[1]^3*z[2]^2-2*q^4*z[1]*z[2]^3*z[3]+3*q^4*z[2]^4*z[3 ]-q^3*z[1]^4*z[2]^2-q^3*z[1]^2*z[2]^3*z[3]+q^3*z[2]^5*z[3]+q^2*z[1]^3*z[2]^3*z[ 3]-2*q^2*z[1]^2*z[2]^4*z[3]-q*z[1]^2*z[2]^5*z[3]+q^7*z[2]-2*q^6*z[1]*z[2]+2*q^6 *z[2]^2+q^4*z[1]^3*z[2]-q^4*z[1]^2*z[2]^2+q^4*z[1]*z[2]^3+q^4*z[2]^3*z[3]-q^3*z [1]^3*z[2]^2-q^3*z[1]*z[2]^3*z[3]+2*q^3*z[2]^4*z[3]+q^2*z[2]^5*z[3]-q*z[1]^2*z[ 2]^4*z[3]-q^5*z[1]*z[2]+q^5*z[2]^2+q^4*z[1]*z[2]^2+q^3*z[1]^3*z[2]-q^3*z[1]^2*z [2]^2+q^3*z[1]*z[2]^3-q^3*z[2]^4-q^2*z[1]^3*z[2]^2+q^2*z[1]*z[2]^4+q^2*z[2]^4*z [3]+q^3*z[1]*z[2]^2-q^3*z[2]^3-q^2*z[1]^2*z[2]^2+2*q^2*z[1]*z[2]^3-q^2*z[2]^4+q *z[1]*z[2]^4-q*z[2]^5+z[1]*z[2]^5+q^2*z[1]*z[2]^2-q^2*z[2]^3-q*z[1]^2*z[2]^2+q* z[1]*z[2]^3-q*z[2]^4+z[1]*z[2]^4-q*z[2]^3+z[1]*z[2]^3-z[2]^4)*(q^2-z[2])*(q-z[2 ])*(-1+z[1])*(z[2]-1)/(q^4*z[3]-1)/(q^6*z[1]*z[3]-1)/(q^5*z[1]*z[3]-1)/(q^3*z[3 ]-1)/(q*z[1]*z[3]-1)/(q^2*z[1]*z[3]-1)/(q^3*z[1]*z[3]-1)/(q^4*z[1]*z[3]-1)/(q^2 *z[2]*z[3]-1)/(q*z[2]*z[3]-1)/(q*z[3]-1)/(q^2*z[3]-1) 3 5 x[1] x[2] For the coeff., ----------- 8 x[3] we have: 2 19 5 3 4 19 4 4 4 (q - z[2]) (-z[1] + q) (q z[1] z[2] z[3] - q z[1] z[2] z[3] 19 4 3 4 19 3 4 4 18 6 2 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 5 3 4 18 4 4 4 18 3 5 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 6 3 4 17 5 4 4 19 3 3 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 19 2 4 4 18 4 3 4 18 3 4 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 18 2 5 4 17 6 2 4 17 5 3 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 4 4 4 17 3 5 4 16 6 3 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 5 4 4 19 2 3 4 19 4 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 3 3 4 18 2 4 4 17 6 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 4 3 4 17 3 4 4 17 2 5 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 6 2 4 16 5 3 4 16 4 4 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 3 5 4 15 6 3 4 15 5 4 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 4 5 4 14 5 5 4 19 3 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 4 2 3 18 3 3 3 18 2 3 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 4 4 17 3 3 4 17 2 4 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 16 4 3 4 16 3 4 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 16 2 5 4 15 6 2 4 15 5 3 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 3 5 4 14 5 4 4 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 14 4 5 4 13 6 4 4 13 5 5 4 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 19 3 4 18 3 2 3 18 2 3 3 + q z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 3 4 17 5 3 17 4 2 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 17 3 3 3 17 2 4 3 17 2 3 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 4 4 16 5 2 3 16 4 3 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 3 3 4 16 2 4 4 16 5 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 6 2 3 15 5 3 3 15 4 3 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 3 4 4 15 2 5 4 14 5 3 4 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 4 4 4 13 5 4 4 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 13 4 5 4 12 6 4 4 11 6 5 4 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 2 2 3 18 3 3 17 3 2 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 17 2 3 3 16 5 3 + 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 16 4 2 3 16 3 3 3 - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 16 2 4 3 16 4 4 15 6 3 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 5 2 3 15 4 3 3 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 15 3 4 3 15 2 5 3 15 2 4 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 15 5 4 14 6 2 3 14 5 3 3 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 4 4 3 14 3 5 3 14 2 5 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 13 6 3 3 13 4 4 4 13 3 5 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 5 4 4 12 4 5 4 18 2 3 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 2 2 3 17 3 3 16 5 3 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[3] 16 3 2 3 16 2 3 3 16 4 4 - 3 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - q z[2] z[3] 15 5 3 15 4 2 3 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 15 3 3 3 15 2 4 3 15 4 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 14 6 3 14 5 2 3 14 4 3 3 + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 14 3 4 3 14 2 5 3 + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 14 2 4 4 14 5 4 13 6 2 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 13 5 3 3 13 4 4 3 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 13 2 5 4 12 4 5 3 12 3 5 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 4 5 4 18 2 3 17 2 3 - q z[1] z[2] z[3] - q z[2] z[3] - 2 q z[1] z[2] z[3] 16 2 2 3 16 3 3 - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 15 3 2 3 15 2 3 3 15 4 4 - 3 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - q z[2] z[3] 14 5 3 14 4 2 3 14 5 3 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 4 4 13 6 3 13 5 2 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 13 4 3 3 13 3 4 3 - 7 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 13 2 5 3 13 5 4 12 6 2 3 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 5 3 3 12 4 4 3 - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 12 2 5 4 11 5 4 3 11 4 5 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 3 5 4 10 6 4 3 10 4 5 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 2 3 16 3 2 16 2 2 2 - q z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 2 3 15 2 2 3 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 15 3 3 14 5 2 14 4 2 2 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 3 2 3 14 2 3 3 13 5 3 - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 4 2 3 13 3 3 3 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 13 5 3 12 5 2 3 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 12 4 3 3 12 3 4 3 - 8 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 12 2 5 3 12 5 4 11 6 2 3 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 5 3 3 11 4 4 3 - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 11 3 5 3 10 6 3 3 10 5 4 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 10 4 5 3 10 3 5 4 9 6 4 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 2 2 16 2 2 16 2 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] z[3] 15 4 2 15 3 2 15 2 2 2 - q z[1] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 15 2 3 15 3 3 14 5 2 - q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[3] 14 4 2 14 3 2 2 14 2 3 2 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 2 2 3 14 3 3 14 4 3 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] + q z[2] z[3] 13 5 2 13 4 2 2 13 3 3 2 - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 3 2 3 13 2 4 2 13 2 3 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 12 6 2 12 5 2 2 12 5 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 4 2 3 12 3 3 3 - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 12 2 4 3 12 5 3 12 5 4 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + q z[2] z[3] 11 6 2 2 11 5 2 3 11 4 3 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 11 3 4 3 11 2 5 3 11 5 4 + 7 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 5 3 3 10 4 4 3 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 3 5 3 9 5 4 3 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 9 4 5 3 8 6 4 3 16 2 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 2 2 15 2 2 14 4 2 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[3] 14 3 2 14 2 2 2 14 3 2 + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 3 3 13 5 2 13 4 2 + 2 q z[2] z[3] - q z[1] z[3] - 2 q z[1] z[2] z[3] 13 3 2 2 13 2 3 2 13 4 2 + 5 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 3 3 13 4 3 12 5 2 + 4 q z[1] z[2] z[3] + q z[2] z[3] - 4 q z[1] z[2] z[3] 12 4 2 2 12 3 3 2 + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 2 4 2 12 2 3 3 11 6 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 5 2 2 11 3 4 2 11 3 3 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 2 5 2 11 2 4 3 11 5 3 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 10 6 2 2 10 5 2 3 10 4 3 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 10 3 4 3 10 2 5 3 9 5 3 3 + 5 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 3 5 3 8 5 4 3 8 4 5 3 + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 16 2 15 2 14 2 2 + q z[2] z[3] + 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 14 2 2 13 4 2 13 3 2 - 2 q z[1] z[2] z[3] - q z[1] z[3] + 3 q z[1] z[2] z[3] 13 3 2 13 3 3 12 5 2 - 2 q z[1] z[2] z[3] + 2 q z[2] z[3] - q z[1] z[3] 12 4 2 12 3 2 2 - 3 q z[1] z[2] z[3] + 9 q z[1] z[2] z[3] 12 2 3 2 12 4 2 - 5 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 12 3 3 12 4 3 11 5 2 + 2 q z[1] z[2] z[3] + q z[2] z[3] - 3 q z[1] z[2] z[3] 11 4 2 2 11 3 3 2 + 5 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 11 2 4 2 11 5 2 11 5 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 10 6 2 10 5 2 2 10 4 3 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 10 3 4 2 10 3 3 3 10 2 5 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 2 4 3 10 5 3 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 9 5 3 2 9 4 3 3 9 3 5 2 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 3 4 3 9 2 5 3 8 6 3 2 + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 3 5 3 7 5 4 3 7 4 5 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 2 14 2 13 2 2 + q z[2] z[3] + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 13 2 2 13 3 2 12 4 2 - 2 q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[3] 12 3 2 12 2 2 2 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 12 3 2 12 3 3 11 4 2 - 3 q z[1] z[2] z[3] + q z[2] z[3] - 3 q z[1] z[2] z[3] 11 3 2 2 11 2 3 2 + 11 q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] 11 4 2 11 3 3 10 5 2 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 10 4 2 2 10 3 3 2 + 6 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 10 5 2 10 4 3 10 5 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] z[3] 9 4 3 2 9 3 4 2 9 2 5 2 + 4 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 2 4 3 9 5 3 8 5 3 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 8 3 5 2 8 3 4 3 7 6 3 2 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 3 5 3 6 4 5 3 14 2 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 13 2 13 2 2 12 4 + q z[1] z[2] z[3] - q z[2] z[3] + q z[1] z[3] 12 3 12 2 2 12 2 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 3 2 11 5 11 4 2 - 2 q z[2] z[3] + q z[1] z[3] - q z[1] z[3] 11 3 2 11 2 2 2 11 3 2 + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 10 5 10 4 2 10 3 2 2 + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + 10 q z[1] z[2] z[3] 10 2 3 2 10 4 2 10 4 3 - 8 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - q z[2] z[3] 9 5 2 9 4 2 2 9 3 3 2 - 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 9 2 4 2 9 5 2 9 4 3 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 5 3 8 5 2 2 8 4 3 2 - q z[2] z[3] - q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] 8 3 4 2 8 2 4 3 8 5 3 - 5 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 7 5 3 2 7 3 5 2 7 3 4 3 + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 6 3 2 6 3 5 3 13 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[3] 13 12 2 12 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 2 2 11 4 11 3 - 2 q z[2] z[3] + 2 q z[1] z[3] - 2 q z[1] z[2] z[3] 11 2 2 11 2 2 11 3 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - 3 q z[2] z[3] 10 5 10 4 10 2 2 2 + q z[1] z[3] + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 10 3 2 9 5 9 4 2 - 5 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 9 3 2 2 9 2 3 2 9 4 2 + 7 q z[1] z[2] z[3] - 8 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 9 5 2 9 4 3 8 6 + q z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] 8 5 2 8 4 2 2 8 3 3 2 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 2 4 2 8 5 2 8 4 3 - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 5 3 7 5 2 2 7 4 3 2 - q z[2] z[3] - q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 7 3 4 2 7 5 3 6 5 3 2 - 6 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 6 3 5 2 13 12 2 11 3 - 2 q z[1] z[2] z[3] - q z[1] z[3] - q z[1] z[3] + q z[1] z[3] 11 2 11 2 11 2 2 - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[2] z[3] 10 4 10 3 10 2 2 + 2 q z[1] z[3] - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 2 2 10 3 2 9 5 - q z[1] z[2] z[3] - 3 q z[2] z[3] + q z[1] z[3] 9 4 9 3 2 9 2 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 2 2 2 9 4 9 3 2 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 9 4 2 8 5 8 4 2 + q z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 4 2 8 3 2 2 8 2 3 2 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 8 4 2 8 5 2 7 5 2 + 4 q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 7 2 4 2 7 5 2 6 5 2 2 - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 4 3 2 6 3 4 2 6 2 5 2 + 5 q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] 5 5 3 2 5 3 5 2 13 12 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[3] - q z[1] z[3] 11 2 11 11 2 10 3 - q z[1] z[3] - q z[1] z[2] z[3] + q z[2] z[3] + q z[1] z[3] 10 2 10 2 10 2 2 - 6 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[2] z[3] 9 4 9 3 9 2 2 + 2 q z[1] z[3] - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 3 2 8 4 8 3 2 - q z[2] z[3] + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 8 2 3 8 2 2 2 8 4 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 8 3 2 8 4 2 7 5 - 2 q z[1] z[2] z[3] + 2 q z[2] z[3] + q z[1] z[2] z[3] 7 4 2 7 3 2 2 7 2 4 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 2 3 2 7 5 7 4 2 - 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 7 5 2 6 5 2 6 2 4 2 + 2 q z[2] z[3] - 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 6 5 2 5 6 2 5 4 3 2 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 5 3 4 2 5 2 5 2 4 3 5 2 - 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 10 2 9 3 - q z[1] z[2] z[3] + 2 q z[2] z[3] + 2 q z[1] z[3] 9 2 9 2 9 3 - 6 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] + q z[2] z[3] 8 4 8 3 8 2 2 + 2 q z[1] z[3] - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 3 8 4 7 4 + q z[1] z[2] z[3] - q z[2] z[3] + 2 q z[1] z[2] z[3] 7 3 2 7 2 3 7 4 - 5 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 7 3 2 7 4 2 6 5 - q z[1] z[2] z[3] + 3 q z[2] z[3] + q z[1] z[2] z[3] 6 4 2 6 2 4 6 2 3 2 - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 6 5 6 4 2 6 5 2 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[2] z[3] 5 5 2 5 2 5 5 2 4 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 5 5 2 4 4 3 2 4 3 4 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 4 2 5 2 3 3 5 2 10 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] z[3] 9 9 2 8 4 8 3 - q z[1] z[2] z[3] + 3 q z[2] z[3] - q z[1] + q z[1] z[3] 8 2 8 2 8 3 7 5 - 5 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] + q z[2] z[3] - q z[1] 7 4 7 3 7 2 2 + q z[1] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 3 7 4 7 3 2 + q z[1] z[2] z[3] - q z[2] z[3] + q z[2] z[3] 6 4 6 3 2 6 2 3 + 3 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 6 4 6 5 6 4 2 - 2 q z[1] z[2] z[3] - q z[2] z[3] + 2 q z[2] z[3] 5 5 5 4 2 5 2 4 + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 5 2 3 2 5 5 5 4 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 5 5 2 4 5 2 4 2 5 + q z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 4 2 4 2 4 5 2 3 3 4 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 2 9 8 8 2 7 4 + q z[1] + q z[2] z[3] - q z[1] z[2] z[3] + 3 q z[2] z[3] - q z[1] 7 3 7 2 7 2 + q z[1] z[3] - 3 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 6 3 6 4 5 4 + 2 q z[1] z[2] z[3] - 2 q z[2] z[3] + 2 q z[1] z[2] z[3] 5 3 2 5 2 3 5 4 - 6 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 5 5 5 4 2 4 4 2 - q z[2] z[3] + q z[2] z[3] - 2 q z[1] z[2] z[3] 4 2 4 4 4 2 3 2 5 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 8 2 7 3 7 2 7 + q z[1] + q z[1] - q z[1] + q z[1] z[2] - q z[1] z[2] z[3] 7 2 6 4 6 3 6 2 + 2 q z[2] z[3] - q z[1] + q z[1] z[2] - q z[1] z[2] z[3] 6 2 6 3 5 4 + 3 q z[1] z[2] z[3] - q z[2] z[3] + q z[1] z[2] 5 3 5 3 5 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 3 q z[2] z[3] 4 5 4 4 4 3 2 + q z[1] z[2] + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 4 2 3 4 4 4 5 + 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] z[3] 3 4 2 3 2 4 2 2 5 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 8 7 2 7 2 6 3 6 2 + q z[1] - q z[2] + q z[1] - q z[2] - q z[1] + q z[1] z[2] 6 2 5 4 5 3 5 2 - q z[1] z[2] - q z[1] + q z[1] z[2] + q z[1] z[2] z[3] 5 3 4 4 4 3 4 4 - 2 q z[2] z[3] + q z[1] z[2] + q z[1] z[2] z[3] - 3 q z[2] z[3] 3 3 2 3 2 3 3 4 - 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 3 5 2 2 4 2 5 7 - q z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] 7 6 2 5 3 5 2 5 2 - q z[2] - q z[2] - 2 q z[1] + 2 q z[1] z[2] - q z[1] z[2] 4 4 4 3 4 3 4 2 - q z[1] + 2 q z[1] z[2] - q z[1] z[2] + q z[1] z[2] z[3] 4 4 4 3 3 4 3 4 + q z[2] - 2 q z[2] z[3] + q z[1] z[2] - 2 q z[2] z[3] 2 3 2 2 2 3 2 4 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 2 4 6 6 5 2 4 3 + q z[1] z[2] z[3] + q z[1] - q z[2] - q z[2] - q z[1] 4 2 4 2 4 3 3 3 + 2 q z[1] z[2] - 2 q z[1] z[2] + q z[2] + q z[1] z[2] 3 3 3 4 3 3 2 4 2 5 - q z[1] z[2] + q z[2] - q z[2] z[3] - q z[1] z[2] + q z[2] 2 4 2 3 4 5 - q z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] 4 2 3 3 3 2 3 2 3 3 - q z[1] - q z[1] + 2 q z[1] z[2] - 2 q z[1] z[2] + q z[2] 2 3 2 3 2 4 4 5 + q z[1] z[2] - 2 q z[1] z[2] + q z[2] - q z[1] z[2] - z[1] z[2] 2 2 2 2 2 3 3 4 + q z[1] z[2] - 2 q z[1] z[2] + 2 q z[2] - q z[1] z[2] + q z[2] 4 2 2 2 2 3 - z[1] z[2] + q z[2] + q z[1] z[2] - q z[1] z[2] + q z[2] 3 4 2 3 - z[1] z[2] + z[2] - z[1] z[2] + z[2] ) (q - z[2]) (-1 + z[1]) / 4 3 2 (z[2] - 1) / ((q z[3] - 1) (q z[3] - 1) (q z[2] z[3] - 1) / 3 4 5 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[1] z[3] - 1) (q z[1] z[3] - 1) 3 2 (q z[1] z[3] - 1) (q z[1] z[3] - 1) (q z[1] z[3] - 1) (q z[3] - 1) 2 (q z[3] - 1)) and in Maple input notation: (q^2-z[2])*(-z[1]+q)*(q^19*z[1]^5*z[2]^3*z[3]^4-q^19*z[1]^4*z[2]^4*z[3]^4+q^19* z[1]^4*z[2]^3*z[3]^4-q^19*z[1]^3*z[2]^4*z[3]^4-q^18*z[1]^6*z[2]^2*z[3]^4+q^18*z [1]^5*z[2]^3*z[3]^4-q^18*z[1]^4*z[2]^4*z[3]^4+q^18*z[1]^3*z[2]^5*z[3]^4-q^17*z[ 1]^6*z[2]^3*z[3]^4+q^17*z[1]^5*z[2]^4*z[3]^4+q^19*z[1]^3*z[2]^3*z[3]^4-q^19*z[1 ]^2*z[2]^4*z[3]^4+q^18*z[1]^4*z[2]^3*z[3]^4-2*q^18*z[1]^3*z[2]^4*z[3]^4+q^18*z[ 1]^2*z[2]^5*z[3]^4-q^17*z[1]^6*z[2]^2*z[3]^4+q^17*z[1]^5*z[2]^3*z[3]^4-q^17*z[1 ]^4*z[2]^4*z[3]^4+q^17*z[1]^3*z[2]^5*z[3]^4-q^16*z[1]^6*z[2]^3*z[3]^4+q^16*z[1] ^5*z[2]^4*z[3]^4+q^19*z[1]^2*z[2]^3*z[3]^4-q^19*z[1]*z[2]^4*z[3]^4+q^18*z[1]^3* z[2]^3*z[3]^4-2*q^18*z[1]^2*z[2]^4*z[3]^4-q^17*z[1]^6*z[2]*z[3]^4+q^17*z[1]^4*z [2]^3*z[3]^4-2*q^17*z[1]^3*z[2]^4*z[3]^4+q^17*z[1]^2*z[2]^5*z[3]^4-q^16*z[1]^6* z[2]^2*z[3]^4+q^16*z[1]^5*z[2]^3*z[3]^4-q^16*z[1]^4*z[2]^4*z[3]^4+q^16*z[1]^3*z [2]^5*z[3]^4-q^15*z[1]^6*z[2]^3*z[3]^4+q^15*z[1]^5*z[2]^4*z[3]^4-q^15*z[1]^4*z[ 2]^5*z[3]^4-q^14*z[1]^5*z[2]^5*z[3]^4+q^19*z[1]*z[2]^3*z[3]^4-q^18*z[1]^4*z[2]^ 2*z[3]^3+q^18*z[1]^3*z[2]^3*z[3]^3+q^18*z[1]^2*z[2]^3*z[3]^4-q^18*z[1]*z[2]^4*z [3]^4+q^17*z[1]^3*z[2]^3*z[3]^4-2*q^17*z[1]^2*z[2]^4*z[3]^4+q^16*z[1]^4*z[2]^3* z[3]^4-2*q^16*z[1]^3*z[2]^4*z[3]^4+2*q^16*z[1]^2*z[2]^5*z[3]^4-q^15*z[1]^6*z[2] ^2*z[3]^4+q^15*z[1]^5*z[2]^3*z[3]^4+q^15*z[1]^3*z[2]^5*z[3]^4+2*q^14*z[1]^5*z[2 ]^4*z[3]^4-2*q^14*z[1]^4*z[2]^5*z[3]^4+q^13*z[1]^6*z[2]^4*z[3]^4-q^13*z[1]^5*z[ 2]^5*z[3]^4+q^19*z[2]^3*z[3]^4-q^18*z[1]^3*z[2]^2*z[3]^3+q^18*z[1]^2*z[2]^3*z[3 ]^3+q^18*z[1]*z[2]^3*z[3]^4+q^17*z[1]^5*z[2]*z[3]^3-2*q^17*z[1]^4*z[2]^2*z[3]^3 +2*q^17*z[1]^3*z[2]^3*z[3]^3-q^17*z[1]^2*z[2]^4*z[3]^3+q^17*z[1]^2*z[2]^3*z[3]^ 4-q^17*z[1]*z[2]^4*z[3]^4+q^16*z[1]^5*z[2]^2*z[3]^3-q^16*z[1]^4*z[2]^3*z[3]^3+q ^16*z[1]^3*z[2]^3*z[3]^4-2*q^16*z[1]^2*z[2]^4*z[3]^4+q^16*z[1]*z[2]^5*z[3]^4+q^ 15*z[1]^6*z[2]^2*z[3]^3-q^15*z[1]^5*z[2]^3*z[3]^3+q^15*z[1]^4*z[2]^3*z[3]^4-q^ 15*z[1]^3*z[2]^4*z[3]^4+2*q^15*z[1]^2*z[2]^5*z[3]^4+q^14*z[1]^5*z[2]^3*z[3]^4+q ^14*z[1]^4*z[2]^4*z[3]^4+2*q^13*z[1]^5*z[2]^4*z[3]^4-2*q^13*z[1]^4*z[2]^5*z[3]^ 4+q^12*z[1]^6*z[2]^4*z[3]^4+q^11*z[1]^6*z[2]^5*z[3]^4-q^18*z[1]^2*z[2]^2*z[3]^3 +q^18*z[1]*z[2]^3*z[3]^3-2*q^17*z[1]^3*z[2]^2*z[3]^3+3*q^17*z[1]^2*z[2]^3*z[3]^ 3+2*q^16*z[1]^5*z[2]*z[3]^3-3*q^16*z[1]^4*z[2]^2*z[3]^3+3*q^16*z[1]^3*z[2]^3*z[ 3]^3-q^16*z[1]^2*z[2]^4*z[3]^3-2*q^16*z[1]*z[2]^4*z[3]^4+q^15*z[1]^6*z[2]*z[3]^ 3+2*q^15*z[1]^5*z[2]^2*z[3]^3-3*q^15*z[1]^4*z[2]^3*z[3]^3+q^15*z[1]^3*z[2]^4*z[ 3]^3-q^15*z[1]^2*z[2]^5*z[3]^3-2*q^15*z[1]^2*z[2]^4*z[3]^4+q^15*z[1]*z[2]^5*z[3 ]^4+2*q^14*z[1]^6*z[2]^2*z[3]^3-q^14*z[1]^5*z[2]^3*z[3]^3+q^14*z[1]^4*z[2]^4*z[ 3]^3-q^14*z[1]^3*z[2]^5*z[3]^3+2*q^14*z[1]^2*z[2]^5*z[3]^4+q^13*z[1]^6*z[2]^3*z [3]^3+q^13*z[1]^4*z[2]^4*z[3]^4-q^13*z[1]^3*z[2]^5*z[3]^4+q^12*z[1]^5*z[2]^4*z[ 3]^4-2*q^12*z[1]^4*z[2]^5*z[3]^4-q^18*z[1]*z[2]^2*z[3]^3-2*q^17*z[1]^2*z[2]^2*z [3]^3+2*q^17*z[1]*z[2]^3*z[3]^3+q^16*z[1]^5*z[3]^3-3*q^16*z[1]^3*z[2]^2*z[3]^3+ 4*q^16*z[1]^2*z[2]^3*z[3]^3-q^16*z[2]^4*z[3]^4+2*q^15*z[1]^5*z[2]*z[3]^3-3*q^15 *z[1]^4*z[2]^2*z[3]^3+2*q^15*z[1]^3*z[2]^3*z[3]^3-q^15*z[1]^2*z[2]^4*z[3]^3-2*q ^15*z[1]*z[2]^4*z[3]^4+q^14*z[1]^6*z[2]*z[3]^3+3*q^14*z[1]^5*z[2]^2*z[3]^3-5*q^ 14*z[1]^4*z[2]^3*z[3]^3+3*q^14*z[1]^3*z[2]^4*z[3]^3-2*q^14*z[1]^2*z[2]^5*z[3]^3 -q^14*z[1]^2*z[2]^4*z[3]^4+q^14*z[1]*z[2]^5*z[3]^4+2*q^13*z[1]^6*z[2]^2*z[3]^3-\ 2*q^13*z[1]^5*z[2]^3*z[3]^3+2*q^13*z[1]^4*z[2]^4*z[3]^3+q^13*z[1]^2*z[2]^5*z[3] ^4+q^12*z[1]^4*z[2]^5*z[3]^3-q^12*z[1]^3*z[2]^5*z[3]^4-q^11*z[1]^4*z[2]^5*z[3]^ 4-q^18*z[2]^2*z[3]^3-2*q^17*z[1]*z[2]^2*z[3]^3-3*q^16*z[1]^2*z[2]^2*z[3]^3+3*q^ 16*z[1]*z[2]^3*z[3]^3-3*q^15*z[1]^3*z[2]^2*z[3]^3+4*q^15*z[1]^2*z[2]^3*z[3]^3-q ^15*z[2]^4*z[3]^4+2*q^14*z[1]^5*z[2]*z[3]^3-3*q^14*z[1]^4*z[2]^2*z[3]^3-q^14*z[ 1]*z[2]^5*z[3]^3-q^14*z[1]*z[2]^4*z[3]^4+q^13*z[1]^6*z[2]*z[3]^3+2*q^13*z[1]^5* z[2]^2*z[3]^3-7*q^13*z[1]^4*z[2]^3*z[3]^3+5*q^13*z[1]^3*z[2]^4*z[3]^3-3*q^13*z[ 1]^2*z[2]^5*z[3]^3+q^13*z[1]*z[2]^5*z[3]^4+q^12*z[1]^6*z[2]^2*z[3]^3-3*q^12*z[1 ]^5*z[2]^3*z[3]^3+3*q^12*z[1]^4*z[2]^4*z[3]^3+q^12*z[1]^2*z[2]^5*z[3]^4-q^11*z[ 1]^5*z[2]^4*z[3]^3+q^11*z[1]^4*z[2]^5*z[3]^3-q^11*z[1]^3*z[2]^5*z[3]^4-q^10*z[1 ]^6*z[2]^4*z[3]^3-q^10*z[1]^4*z[2]^5*z[3]^4-q^17*z[2]^2*z[3]^3+q^16*z[1]^3*z[2] *z[3]^2-q^16*z[1]^2*z[2]^2*z[3]^2-2*q^16*z[1]*z[2]^2*z[3]^3-2*q^15*z[1]^2*z[2]^ 2*z[3]^3+3*q^15*z[1]*z[2]^3*z[3]^3-q^14*z[1]^5*z[2]*z[3]^2+q^14*z[1]^4*z[2]^2*z 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z[3]-6*q^9*z[1]^2*z[2]*z[3]+4*q^9*z[1]*z[2]^2*z[3]+q^9*z[2]^3*z[3]+2*q^8*z[1]^4 *z[3]-3*q^8*z[1]^3*z[2]*z[3]+q^8*z[1]^2*z[2]^2*z[3]+q^8*z[1]*z[2]^3*z[3]-q^8*z[ 2]^4*z[3]+2*q^7*z[1]^4*z[2]*z[3]-5*q^7*z[1]^3*z[2]^2*z[3]+4*q^7*z[1]^2*z[2]^3*z [3]-2*q^7*z[1]*z[2]^4*z[3]-q^7*z[1]*z[2]^3*z[3]^2+3*q^7*z[2]^4*z[3]^2+q^6*z[1]^ 5*z[2]*z[3]-4*q^6*z[1]^4*z[2]^2*z[3]+2*q^6*z[1]^2*z[2]^4*z[3]-2*q^6*z[1]^2*z[2] ^3*z[3]^2-q^6*z[1]*z[2]^5*z[3]+3*q^6*z[1]*z[2]^4*z[3]^2+q^6*z[2]^5*z[3]^2-2*q^5 *z[1]^5*z[2]^2*z[3]+q^5*z[1]^2*z[2]^5*z[3]-2*q^5*z[1]^2*z[2]^4*z[3]^2+q^5*z[1]* z[2]^5*z[3]^2+q^4*z[1]^4*z[2]^3*z[3]^2-2*q^4*z[1]^3*z[2]^4*z[3]^2-q^4*z[1]^2*z[ 2]^5*z[3]^2-q^3*z[1]^3*z[2]^5*z[3]^2+q^10*z[2]*z[3]-q^9*z[1]*z[2]*z[3]+3*q^9*z[ 2]^2*z[3]-q^8*z[1]^4+q^8*z[1]^3*z[3]-5*q^8*z[1]^2*z[2]*z[3]+5*q^8*z[1]*z[2]^2*z [3]+q^8*z[2]^3*z[3]-q^7*z[1]^5+q^7*z[1]^4*z[3]-q^7*z[1]^3*z[2]*z[3]+q^7*z[1]^2* z[2]^2*z[3]+q^7*z[1]*z[2]^3*z[3]-q^7*z[2]^4*z[3]+q^7*z[2]^3*z[3]^2+3*q^6*z[1]^4 *z[2]*z[3]-6*q^6*z[1]^3*z[2]^2*z[3]+5*q^6*z[1]^2*z[2]^3*z[3]-2*q^6*z[1]*z[2]^4* z[3]-q^6*z[2]^5*z[3]+2*q^6*z[2]^4*z[3]^2+q^5*z[1]^5*z[2]*z[3]-4*q^5*z[1]^4*z[2] ^2*z[3]+3*q^5*z[1]^2*z[2]^4*z[3]-q^5*z[1]^2*z[2]^3*z[3]^2-q^5*z[1]*z[2]^5*z[3]+ 2*q^5*z[1]*z[2]^4*z[3]^2+q^5*z[2]^5*z[3]^2-q^4*z[1]^5*z[2]^2*z[3]+q^4*z[1]^2*z[ 2]^5*z[3]-q^4*z[1]^2*z[2]^4*z[3]^2+q^4*z[1]*z[2]^5*z[3]^2-q^3*z[1]^3*z[2]^4*z[3 ]^2+q^9*z[1]^2+q^9*z[2]*z[3]-q^8*z[1]*z[2]*z[3]+3*q^8*z[2]^2*z[3]-q^7*z[1]^4+q^ 7*z[1]^3*z[3]-3*q^7*z[1]^2*z[2]*z[3]+4*q^7*z[1]*z[2]^2*z[3]+2*q^6*z[1]*z[2]^3*z [3]-2*q^6*z[2]^4*z[3]+2*q^5*z[1]^4*z[2]*z[3]-6*q^5*z[1]^3*z[2]^2*z[3]+6*q^5*z[1 ]^2*z[2]^3*z[3]-2*q^5*z[1]*z[2]^4*z[3]-q^5*z[2]^5*z[3]+q^5*z[2]^4*z[3]^2-2*q^4* z[1]^4*z[2]^2*z[3]+3*q^4*z[1]^2*z[2]^4*z[3]+q^4*z[1]*z[2]^4*z[3]^2+q^3*z[1]^2*z [2]^5*z[3]+q^9*z[1]+q^8*z[1]^2-q^7*z[1]^3+q^7*z[1]^2*z[2]-q^7*z[1]*z[2]*z[3]+2* q^7*z[2]^2*z[3]-q^6*z[1]^4+q^6*z[1]^3*z[2]-q^6*z[1]^2*z[2]*z[3]+3*q^6*z[1]*z[2] ^2*z[3]-q^6*z[2]^3*z[3]+q^5*z[1]^4*z[2]+q^5*z[1]^3*z[2]*z[3]+q^5*z[1]*z[2]^3*z[ 3]-3*q^5*z[2]^4*z[3]+q^4*z[1]^5*z[2]+q^4*z[1]^4*z[2]*z[3]-4*q^4*z[1]^3*z[2]^2*z [3]+5*q^4*z[1]^2*z[2]^3*z[3]-q^4*z[1]*z[2]^4*z[3]-q^4*z[2]^5*z[3]-q^3*z[1]^4*z[ 2]^2*z[3]+3*q^3*z[1]^2*z[2]^4*z[3]+q^2*z[1]^2*z[2]^5*z[3]+q^8*z[1]-q^8*z[2]+q^7 *z[1]^2-q^7*z[2]^2-q^6*z[1]^3+q^6*z[1]^2*z[2]-q^6*z[1]*z[2]^2-q^5*z[1]^4+q^5*z[ 1]^3*z[2]+q^5*z[1]*z[2]^2*z[3]-2*q^5*z[2]^3*z[3]+q^4*z[1]^4*z[2]+q^4*z[1]*z[2]^ 3*z[3]-3*q^4*z[2]^4*z[3]-2*q^3*z[1]^3*z[2]^2*z[3]+4*q^3*z[1]^2*z[2]^3*z[3]-q^3* z[1]*z[2]^4*z[3]-q^3*z[2]^5*z[3]+2*q^2*z[1]^2*z[2]^4*z[3]+q*z[1]^2*z[2]^5*z[3]+ q^7*z[1]-q^7*z[2]-q^6*z[2]^2-2*q^5*z[1]^3+2*q^5*z[1]^2*z[2]-q^5*z[1]*z[2]^2-q^4 *z[1]^4+2*q^4*z[1]^3*z[2]-q^4*z[1]*z[2]^3+q^4*z[1]*z[2]^2*z[3]+q^4*z[2]^4-2*q^4 *z[2]^3*z[3]+q^3*z[1]^4*z[2]-2*q^3*z[2]^4*z[3]-q^2*z[1]^3*z[2]^2*z[3]+2*q^2*z[1 ]^2*z[2]^3*z[3]-q^2*z[1]*z[2]^4*z[3]+q*z[1]^2*z[2]^4*z[3]+q^6*z[1]-q^6*z[2]-q^5 *z[2]^2-q^4*z[1]^3+2*q^4*z[1]^2*z[2]-2*q^4*z[1]*z[2]^2+q^4*z[2]^3+q^3*z[1]^3*z[ 2]-q^3*z[1]*z[2]^3+q^3*z[2]^4-q^3*z[2]^3*z[3]-q^2*z[1]*z[2]^4+q^2*z[2]^5-q^2*z[ 2]^4*z[3]+q*z[1]^2*z[2]^3*z[3]-q*z[1]*z[2]^4*z[3]-q^5*z[2]-q^4*z[1]^2-q^3*z[1]^ 3+2*q^3*z[1]^2*z[2]-2*q^3*z[1]*z[2]^2+q^3*z[2]^3+q^2*z[1]^3*z[2]-2*q^2*z[1]*z[2 ]^3+q^2*z[2]^4-q*z[1]*z[2]^4-z[1]*z[2]^5+q^2*z[1]^2*z[2]-2*q^2*z[1]*z[2]^2+2*q^ 2*z[2]^3-q*z[1]*z[2]^3+q*z[2]^4-z[1]*z[2]^4+q^2*z[2]^2+q*z[1]^2*z[2]-q*z[1]*z[2 ]^2+q*z[2]^3-z[1]*z[2]^3+z[2]^4-z[1]*z[2]^2+z[2]^3)*(q-z[2])*(-1+z[1])*(z[2]-1) /(q^4*z[3]-1)/(q^3*z[3]-1)/(q^2*z[2]*z[3]-1)/(q^3*z[2]*z[3]-1)/(q*z[2]*z[3]-1)/ (q^4*z[1]*z[3]-1)/(q^5*z[1]*z[3]-1)/(q^3*z[1]*z[3]-1)/(q^2*z[1]*z[3]-1)/(q*z[1] *z[3]-1)/(q*z[3]-1)/(q^2*z[3]-1) 4 4 x[1] x[2] For the coeff., ----------- 8 x[3] we have: 20 4 4 4 20 3 5 4 (q - z[2]) (-z[1] + q) (q z[1] z[2] z[3] - q z[1] z[2] z[3] 20 3 4 4 20 2 5 4 19 5 3 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 19 4 4 4 19 3 5 4 19 2 6 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 5 4 4 18 3 6 4 20 2 4 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 20 5 4 19 3 4 4 19 2 5 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 18 5 3 4 18 4 4 4 18 3 5 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 18 2 6 4 17 6 3 4 17 5 4 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 5 5 4 16 4 6 4 20 4 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 19 2 4 4 19 5 4 18 5 2 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 3 4 4 18 2 5 4 18 6 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 6 2 4 17 5 3 4 17 4 4 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 3 5 4 17 2 6 4 16 6 3 4 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 5 4 4 16 4 5 4 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 15 5 5 4 15 4 6 4 20 4 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] z[3] 19 3 3 3 19 2 4 3 19 4 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 2 4 4 18 5 4 17 5 2 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 3 4 4 17 2 5 4 17 6 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 6 2 4 16 5 3 4 16 4 4 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 2 6 4 15 6 3 4 15 4 5 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 15 3 6 4 14 6 4 4 14 5 5 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 14 4 6 4 13 6 5 4 19 2 3 3 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 19 4 3 18 4 2 3 18 3 3 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 18 2 4 3 18 5 4 17 5 4 + 2 q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 17 4 3 3 17 5 4 16 5 2 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 3 5 3 16 2 6 3 16 2 5 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 6 4 15 6 2 4 15 5 3 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 3 5 4 15 2 6 4 14 5 4 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 4 5 4 14 3 6 4 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 13 6 4 4 13 5 5 4 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 4 6 4 12 6 5 4 19 3 3 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 2 3 3 18 4 3 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 17 4 2 3 17 3 3 3 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 17 2 4 3 17 5 4 16 5 2 3 + 3 q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 16 4 3 3 16 3 4 3 16 2 5 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 6 3 16 5 4 15 6 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 5 3 3 15 4 4 3 15 3 5 3 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 2 6 3 15 6 4 14 6 2 4 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 4 5 3 14 3 5 4 13 4 5 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 3 6 4 12 6 4 4 12 5 5 4 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 4 6 4 11 5 6 4 10 6 6 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 19 3 3 18 3 3 17 4 3 - q z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 2 3 3 17 4 3 16 5 3 - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 4 2 3 16 3 3 3 + 4 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 16 2 4 3 16 5 3 15 5 2 3 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 4 3 3 15 3 4 3 + 3 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 15 2 5 3 15 6 3 15 6 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[2] z[3] 14 6 2 3 14 5 3 3 14 4 4 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 14 3 5 3 14 2 6 3 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 14 2 5 4 14 6 4 13 6 3 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 4 5 3 13 3 6 3 13 3 5 4 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 6 3 4 12 4 6 3 12 4 5 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 3 6 4 11 6 4 4 11 5 5 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 5 6 4 18 3 3 17 3 3 + q z[1] z[2] z[3] - q z[2] z[3] - 2 q z[1] z[2] z[3] 17 4 3 16 4 3 16 2 3 3 + q z[2] z[3] + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 16 4 3 16 5 3 15 5 3 + 4 q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 15 4 2 3 15 3 3 3 + 4 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 15 2 4 3 15 5 3 14 5 2 3 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 4 3 3 14 3 4 3 + 3 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 14 2 5 3 14 6 3 13 6 2 3 + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 13 5 3 3 13 4 4 3 + 3 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 13 3 5 3 13 2 6 3 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 5 4 3 12 4 5 3 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 3 6 3 12 2 6 4 11 6 4 3 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 4 6 3 11 3 6 4 17 2 2 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 3 2 17 3 3 16 4 3 - q z[1] z[2] z[3] - q z[2] z[3] + q z[1] z[3] 16 4 2 16 3 3 16 4 3 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[2] z[3] 15 4 3 15 2 4 2 15 2 3 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 15 4 3 15 5 3 14 5 3 + 4 q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 14 4 2 3 14 3 3 3 + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 14 2 4 3 14 6 3 13 6 3 + q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 13 5 2 3 13 4 3 3 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 13 3 4 3 13 2 5 3 13 6 3 - 6 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 12 6 2 3 12 5 3 3 - 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 12 4 4 3 12 3 5 3 - 7 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 11 5 4 3 11 4 5 3 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 3 6 3 10 6 4 3 10 5 5 3 + 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 4 6 3 9 5 6 3 17 2 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 3 2 16 2 2 2 16 3 2 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 3 3 15 3 2 2 15 2 3 2 - q z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 4 2 15 3 3 15 4 3 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[2] z[3] 14 5 3 14 4 2 2 14 4 3 - q z[1] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 3 3 2 14 2 4 2 14 2 3 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 5 2 14 4 3 14 5 3 + q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] + q z[2] z[3] 13 5 3 13 4 2 3 13 3 4 2 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 3 3 3 13 6 2 13 5 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 6 3 12 6 3 12 5 2 3 - q z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 4 3 3 12 3 4 3 12 2 6 2 + q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 2 5 3 12 6 3 11 6 2 3 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 5 3 3 11 4 4 3 + 4 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 11 3 5 3 11 2 6 3 10 6 3 3 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 5 4 3 10 4 5 3 + 3 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 10 3 6 3 9 6 4 3 + 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 9 5 5 3 8 5 6 3 17 2 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] z[3] 16 2 2 15 3 2 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 15 2 2 2 15 3 2 15 4 2 + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[2] z[3] 14 3 2 2 14 2 3 2 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 14 4 2 14 4 3 13 5 2 - 4 q z[1] z[2] z[3] + 2 q z[2] z[3] + q z[1] z[2] z[3] 13 4 2 2 13 4 3 13 3 3 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 13 2 4 2 13 5 2 13 4 3 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 12 5 2 2 12 5 3 12 4 2 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 3 4 2 12 2 5 2 12 2 4 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 6 2 12 5 3 12 6 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] z[3] 11 6 3 11 4 3 3 11 3 4 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 11 2 5 3 11 6 3 10 6 2 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 5 3 3 10 4 4 3 + 4 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 10 3 6 2 10 3 5 3 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 10 2 6 3 9 6 3 3 9 5 4 3 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 9 4 5 3 9 3 6 3 8 6 4 3 - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 5 5 3 7 5 6 3 16 2 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] z[3] 15 3 2 15 2 2 14 3 2 - q z[1] z[3] + 3 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 14 2 2 2 14 3 2 14 4 2 + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - 2 q z[2] z[3] 13 4 2 13 3 2 2 13 2 3 2 - q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 13 4 2 13 4 3 12 5 2 - 4 q z[1] z[2] z[3] + q z[2] z[3] + 2 q z[1] z[2] z[3] 12 4 2 2 12 3 3 2 - 4 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 12 2 4 2 12 5 2 12 4 3 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 6 2 12 5 3 11 5 3 + q z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 11 4 3 2 11 3 4 2 11 2 5 2 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 2 4 3 11 6 2 11 5 3 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 6 3 10 6 2 2 10 5 3 2 - q z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 3 5 2 10 3 4 3 10 2 6 2 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 2 5 3 10 6 3 9 5 3 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 9 4 4 3 9 3 6 2 9 3 5 3 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 9 2 6 3 8 6 3 3 8 5 4 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 4 5 3 8 3 6 3 7 6 4 3 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 5 5 3 7 4 6 3 6 5 6 3 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 2 2 14 3 2 14 2 2 + 2 q z[2] z[3] - q z[1] z[3] + 3 q z[1] z[2] z[3] 14 3 2 13 3 2 13 2 2 2 - q z[2] z[3] - 4 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 13 3 2 13 4 2 12 5 2 - 3 q z[1] z[2] z[3] - 3 q z[2] z[3] + q z[1] z[3] 12 3 2 2 12 2 3 2 - 4 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 12 4 2 11 5 2 - 5 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 11 4 2 2 11 3 3 2 - 5 q z[1] z[2] z[3] + 9 q z[1] z[2] z[3] 11 2 4 2 11 5 2 11 6 2 - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[2] z[3] 11 5 3 10 6 2 10 5 2 2 - q z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 4 3 2 10 3 4 2 - 2 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 10 2 5 2 10 2 4 3 10 6 2 - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 10 5 3 9 6 2 2 9 5 3 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 9 4 4 2 9 3 5 2 9 3 4 3 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 2 6 2 9 2 5 3 8 6 3 2 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 5 3 3 8 4 5 2 8 4 4 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 3 6 2 8 3 5 3 8 2 6 3 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 4 6 2 7 4 5 3 7 3 6 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 5 5 3 14 2 2 13 3 2 - q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[3] 13 3 13 2 2 13 3 2 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[2] z[3] 12 3 2 12 2 2 2 12 4 - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 3 2 12 4 2 11 5 2 - 2 q z[1] z[2] z[3] - 3 q z[2] z[3] + q z[1] z[3] 11 3 2 2 11 2 3 2 - 4 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 11 4 2 11 5 2 10 5 2 - 4 q z[1] z[2] z[3] + q z[2] z[3] + 2 q z[1] z[2] z[3] 10 4 2 2 10 3 3 2 - 6 q z[1] z[2] z[3] + 10 q z[1] z[2] z[3] 10 2 4 2 10 5 2 10 6 2 - 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] + 2 q z[2] z[3] 9 6 2 9 4 3 2 9 3 4 2 + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 9 2 5 2 9 6 2 8 5 3 2 - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 8 4 4 2 8 3 5 2 8 2 6 2 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 8 2 5 3 7 6 3 2 7 4 5 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 7 3 6 2 7 3 5 3 6 4 6 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 13 2 13 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] z[3] 13 2 2 12 3 12 3 2 + q z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[3] 12 2 2 12 3 12 2 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 4 12 3 2 11 4 2 + q z[2] z[3] - 2 q z[2] z[3] + q z[1] z[3] 11 3 2 11 2 3 11 2 2 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 4 11 3 2 11 4 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - 3 q z[2] z[3] 10 5 2 10 4 2 10 3 2 2 + q z[1] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 10 2 4 10 2 3 2 10 5 - q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 4 2 10 5 2 9 5 2 - 3 q z[1] z[2] z[3] + 2 q z[2] z[3] + 3 q z[1] z[2] z[3] 9 4 2 2 9 3 3 2 9 2 4 2 - 5 q z[1] z[2] z[3] + 9 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 9 6 9 5 2 9 6 2 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[2] z[3] 8 6 2 8 4 3 2 8 3 4 2 + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 8 2 5 2 7 5 3 2 7 4 4 2 - 5 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 7 3 5 2 7 2 6 2 6 6 3 2 - 3 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 4 5 2 6 3 6 2 5 4 6 2 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 14 13 2 13 13 2 - q z[2] z[3] + q z[1] z[3] - 2 q z[1] z[2] z[3] - q z[2] z[3] 12 3 12 2 12 2 + q z[1] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 3 11 3 11 2 2 + q z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 3 11 4 11 3 2 + 2 q z[1] z[2] z[3] + q z[2] z[3] - 2 q z[2] z[3] 10 4 2 10 3 2 10 2 3 + q z[1] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 10 4 10 3 2 10 5 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] z[3] 10 4 2 9 5 9 3 2 2 - q z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 2 4 9 2 3 2 9 5 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 4 2 9 6 9 5 2 - q z[1] z[2] z[3] - q z[2] z[3] + 3 q z[2] z[3] 8 5 2 8 4 2 2 8 3 3 2 + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 8 2 5 8 2 4 2 8 6 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 5 2 8 6 2 7 5 2 2 + 2 q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 7 4 3 2 7 3 4 2 7 2 6 - 4 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 2 5 2 6 5 3 2 6 4 4 2 - 4 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 6 3 5 2 6 2 6 2 5 6 3 2 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 5 4 5 2 4 4 6 2 13 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 12 2 12 11 3 + q z[1] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[3] 11 2 11 2 11 3 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 3 q z[2] z[3] 10 4 10 3 10 2 2 - q z[1] z[3] + 4 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 10 3 10 4 10 3 2 + 3 q z[1] z[2] z[3] + 2 q z[2] z[3] - q z[2] z[3] 9 5 9 3 2 9 2 3 - q z[1] z[3] + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 9 4 9 5 8 5 + q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 8 4 2 8 4 2 8 2 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 2 3 2 8 5 8 4 2 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 6 8 5 2 7 5 2 - q z[2] z[3] + 2 q z[2] z[3] + q z[1] z[2] z[3] 7 5 2 7 4 2 2 7 3 3 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 7 2 5 7 2 4 2 7 5 2 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 4 3 2 6 3 4 2 6 2 6 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 6 2 5 2 5 5 3 2 5 4 4 2 - 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 5 3 5 2 5 2 6 2 4 4 5 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 3 4 6 2 12 11 2 + q z[1] z[2] z[3] - q z[2] z[3] + 2 q z[1] z[3] 11 10 3 10 2 - 2 q z[1] z[2] z[3] + q z[1] z[3] + 3 q z[1] z[2] z[3] 10 2 10 3 9 4 - 3 q z[1] z[2] z[3] + 4 q z[2] z[3] - q z[1] z[3] 9 3 9 2 2 9 3 + 4 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 9 4 8 5 8 4 8 3 2 + q z[2] z[3] - q z[1] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 2 3 8 4 8 5 - 5 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[2] z[3] 8 4 2 7 5 7 4 2 + q z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 7 3 3 7 2 3 2 7 5 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 6 7 5 2 6 6 - q z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 6 5 2 6 4 2 2 6 3 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 3 3 2 6 2 5 6 2 4 2 + q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 6 6 5 2 5 4 3 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 5 3 5 5 3 4 2 5 2 6 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 5 2 5 2 4 5 3 2 4 4 4 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 4 3 6 4 3 5 2 3 4 5 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 10 2 10 10 2 - q z[2] z[3] + q z[1] z[3] - q z[1] z[2] z[3] + q z[2] z[3] 9 2 9 2 9 3 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 4 q z[2] z[3] 8 4 8 3 8 2 2 - 2 q z[1] z[3] + 4 q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] 8 3 7 5 7 4 + 3 q z[1] z[2] z[3] - q z[1] z[3] - q z[1] z[2] z[3] 7 3 2 7 2 3 7 4 + 3 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 5 6 5 6 4 2 - 3 q z[2] z[3] - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 6 3 3 6 2 4 6 6 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 5 5 2 5 3 4 5 2 5 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 5 2 4 2 5 6 4 6 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 4 3 5 4 2 6 4 2 5 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 3 4 4 2 3 3 6 3 3 5 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 2 9 3 9 2 8 2 + q z[1] z[3] - q z[2] + q z[2] z[3] + 2 q z[1] z[2] z[3] 8 2 8 4 8 3 7 4 - 2 q z[1] z[2] z[3] - q z[2] + 3 q z[2] z[3] - 2 q z[1] z[3] 7 3 7 2 2 7 3 + 3 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 7 4 6 4 6 3 2 - q z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 6 2 3 6 4 6 5 - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 3 q z[2] z[3] 5 5 5 4 2 5 3 3 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 5 2 4 5 5 4 5 2 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 4 3 4 4 2 5 4 6 - 3 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 3 3 5 3 2 6 2 3 6 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 9 2 9 8 3 8 2 8 3 + q z[2] - q z[1] + q z[1] z[2] - q z[1] + q z[1] z[2] - q z[2] 8 2 7 3 7 3 7 2 + q z[2] z[3] - q z[1] z[3] + q z[1] z[2] - q z[1] z[2] z[3] 7 3 6 4 6 3 + 2 q z[2] z[3] - q z[1] z[3] + q z[1] z[2] z[3] 6 2 2 6 4 6 3 6 5 - 4 q z[1] z[2] z[3] + q z[1] z[2] + 2 q z[1] z[2] z[3] + q z[2] 6 4 5 4 5 3 2 - 2 q z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 5 2 3 5 4 5 6 5 5 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] - 2 q z[2] z[3] 4 5 4 4 2 4 3 3 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 4 2 4 4 5 3 5 2 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 3 3 4 3 2 5 2 3 5 - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 3 6 10 9 8 2 8 8 2 - q z[1] z[2] z[3] + q + q z[2] - q z[1] + q z[1] z[2] - q z[2] 7 2 7 3 6 4 6 3 + q z[1] z[2] - 2 q z[2] + q z[1] + q z[1] z[2] 6 2 5 5 5 3 - q z[1] z[2] z[3] + q z[1] + q z[1] z[2] z[3] 5 2 2 5 3 5 5 5 4 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] - 2 q z[2] z[3] 4 4 4 3 2 4 2 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 4 5 4 4 4 5 - q z[1] z[2] + q z[1] z[2] z[3] - q z[2] z[3] 3 4 2 3 3 3 3 2 4 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 3 6 2 3 4 2 2 5 - q z[1] z[2] - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 3 5 8 7 2 7 7 2 - q z[1] z[2] z[3] - q z[1] - 2 q z[1] + q z[1] z[2] - 2 q z[2] 6 2 6 2 6 3 5 4 5 3 - q z[1] z[2] + 2 q z[1] z[2] - 2 q z[2] + q z[1] - q z[1] z[2] 5 3 5 4 4 4 4 4 + q z[1] z[2] + q z[2] - q z[1] z[2] - q z[1] z[2] 4 3 4 5 4 4 3 5 + q z[1] z[2] z[3] + q z[2] - q z[2] z[3] - q z[1] z[2] 3 3 2 3 5 2 4 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] + q z[1] z[2] z[3] 2 3 3 2 2 4 2 6 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] 3 4 2 5 7 6 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] - q z[1] 6 6 2 5 3 5 2 5 3 + 2 q z[1] z[2] - 2 q z[2] + q z[1] + 2 q z[1] z[2] - q z[2] 4 4 4 3 4 2 2 4 4 3 4 + q z[1] - q z[1] z[2] + q z[1] z[2] + q z[2] - q z[1] z[2] 3 2 3 3 4 3 5 2 2 4 + q z[1] z[2] - 2 q z[1] z[2] + q z[2] + q z[1] z[2] 2 5 3 3 2 5 - 2 q z[1] z[2] - q z[1] z[2] z[3] + q z[1] z[2] 2 4 2 6 5 5 2 4 3 + q z[1] z[2] z[3] + z[1] z[2] + 2 q z[1] z[2] - q z[2] + q z[1] 4 2 4 2 3 4 3 3 - q z[1] z[2] + 2 q z[1] z[2] + q z[1] - 2 q z[1] z[2] 3 2 2 3 3 3 4 2 4 + q z[1] z[2] - q z[1] z[2] + 2 q z[2] - q z[1] z[2] 2 2 3 2 4 2 5 2 4 + q z[1] z[2] - 2 q z[1] z[2] + q z[2] + q z[1] z[2] 5 2 5 4 4 2 3 3 - q z[1] z[2] + z[1] z[2] + q z[1] z[2] - q z[2] + q z[1] 3 2 2 3 2 2 2 2 3 - q z[1] z[2] - q z[1] z[2] + q z[1] z[2] - 2 q z[1] z[2] 2 4 2 3 4 2 4 5 + q z[2] + q z[1] z[2] - 2 q z[1] z[2] + z[1] z[2] - z[1] z[2] 2 2 2 3 3 2 2 3 - q z[1] z[2] + q z[2] - q z[1] z[2] + q z[1] z[2] - q z[1] z[2] 4 2 3 4 2 2 3 + q z[2] + z[1] z[2] - z[1] z[2] + z[1] z[2] - z[1] z[2] ) / 2 3 4 (z[2] - 1) (-1 + z[1]) / ((q z[3] - 1) (q z[3] - 1) (q z[3] - 1) / 4 3 2 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) 2 4 3 (q z[1] z[3] - 1) (q z[1] z[3] - 1) (q z[1] z[3] - 1) (q z[1] z[3] - 1) (q z[3] - 1)) and in Maple input notation: (q-z[2])*(-z[1]+q)*(q^20*z[1]^4*z[2]^4*z[3]^4-q^20*z[1]^3*z[2]^5*z[3]^4+q^20*z[ 1]^3*z[2]^4*z[3]^4-q^20*z[1]^2*z[2]^5*z[3]^4-q^19*z[1]^5*z[2]^3*z[3]^4+q^19*z[1 ]^4*z[2]^4*z[3]^4-q^19*z[1]^3*z[2]^5*z[3]^4+q^19*z[1]^2*z[2]^6*z[3]^4-q^18*z[1] ^5*z[2]^4*z[3]^4+q^18*z[1]^3*z[2]^6*z[3]^4+q^20*z[1]^2*z[2]^4*z[3]^4-q^20*z[1]* z[2]^5*z[3]^4+q^19*z[1]^3*z[2]^4*z[3]^4-2*q^19*z[1]^2*z[2]^5*z[3]^4-q^18*z[1]^5 *z[2]^3*z[3]^4+q^18*z[1]^4*z[2]^4*z[3]^4-2*q^18*z[1]^3*z[2]^5*z[3]^4+q^18*z[1]^ 2*z[2]^6*z[3]^4+q^17*z[1]^6*z[2]^3*z[3]^4-q^17*z[1]^5*z[2]^4*z[3]^4+q^16*z[1]^5 *z[2]^5*z[3]^4-q^16*z[1]^4*z[2]^6*z[3]^4+q^20*z[1]*z[2]^4*z[3]^4+q^19*z[1]^2*z[ 2]^4*z[3]^4-q^19*z[1]*z[2]^5*z[3]^4-q^18*z[1]^5*z[2]^2*z[3]^4+q^18*z[1]^3*z[2]^ 4*z[3]^4-2*q^18*z[1]^2*z[2]^5*z[3]^4+q^18*z[1]*z[2]^6*z[3]^4+q^17*z[1]^6*z[2]^2 *z[3]^4-2*q^17*z[1]^5*z[2]^3*z[3]^4+q^17*z[1]^4*z[2]^4*z[3]^4-q^17*z[1]^3*z[2]^ 5*z[3]^4+2*q^17*z[1]^2*z[2]^6*z[3]^4+q^16*z[1]^6*z[2]^3*z[3]^4-q^16*z[1]^5*z[2] ^4*z[3]^4+2*q^16*z[1]^4*z[2]^5*z[3]^4+2*q^15*z[1]^5*z[2]^5*z[3]^4-q^15*z[1]^4*z [2]^6*z[3]^4+q^20*z[2]^4*z[3]^4-q^19*z[1]^3*z[2]^3*z[3]^3+q^19*z[1]^2*z[2]^4*z[ 3]^3+q^19*z[1]*z[2]^4*z[3]^4+q^18*z[1]^2*z[2]^4*z[3]^4-2*q^18*z[1]*z[2]^5*z[3]^ 4-q^17*z[1]^5*z[2]^2*z[3]^4+q^17*z[1]^3*z[2]^4*z[3]^4-2*q^17*z[1]^2*z[2]^5*z[3] ^4+q^17*z[1]*z[2]^6*z[3]^4+q^16*z[1]^6*z[2]^2*z[3]^4-q^16*z[1]^5*z[2]^3*z[3]^4+ q^16*z[1]^4*z[2]^4*z[3]^4+q^16*z[1]^2*z[2]^6*z[3]^4+q^15*z[1]^6*z[2]^3*z[3]^4+2 *q^15*z[1]^4*z[2]^5*z[3]^4-q^15*z[1]^3*z[2]^6*z[3]^4-q^14*z[1]^6*z[2]^4*z[3]^4+ 2*q^14*z[1]^5*z[2]^5*z[3]^4-2*q^14*z[1]^4*z[2]^6*z[3]^4-q^13*z[1]^6*z[2]^5*z[3] ^4-q^19*z[1]^2*z[2]^3*z[3]^3+q^19*z[1]*z[2]^4*z[3]^3+q^18*z[1]^4*z[2]^2*z[3]^3-\ 2*q^18*z[1]^3*z[2]^3*z[3]^3+2*q^18*z[1]^2*z[2]^4*z[3]^3-q^18*z[2]^5*z[3]^4-q^17 *z[1]^5*z[2]*z[3]^4+q^17*z[1]^4*z[2]^3*z[3]^3-2*q^17*z[1]*z[2]^5*z[3]^4-q^16*z[ 1]^5*z[2]^2*z[3]^4+q^16*z[1]^3*z[2]^5*z[3]^3-q^16*z[1]^2*z[2]^6*z[3]^3-q^16*z[1 ]^2*z[2]^5*z[3]^4+q^16*z[1]*z[2]^6*z[3]^4+q^15*z[1]^6*z[2]^2*z[3]^4-q^15*z[1]^5 *z[2]^3*z[3]^4+q^15*z[1]^3*z[2]^5*z[3]^4+q^15*z[1]^2*z[2]^6*z[3]^4-q^14*z[1]^5* z[2]^4*z[3]^4+2*q^14*z[1]^4*z[2]^5*z[3]^4-2*q^14*z[1]^3*z[2]^6*z[3]^4-2*q^13*z[ 1]^6*z[2]^4*z[3]^4+q^13*z[1]^5*z[2]^5*z[3]^4-2*q^13*z[1]^4*z[2]^6*z[3]^4-q^12*z [1]^6*z[2]^5*z[3]^4-q^19*z[1]*z[2]^3*z[3]^3-2*q^18*z[1]^2*z[2]^3*z[3]^3+2*q^18* z[1]*z[2]^4*z[3]^3+2*q^17*z[1]^4*z[2]^2*z[3]^3-3*q^17*z[1]^3*z[2]^3*z[3]^3+3*q^ 17*z[1]^2*z[2]^4*z[3]^3-q^17*z[2]^5*z[3]^4-q^16*z[1]^5*z[2]^2*z[3]^3+2*q^16*z[1 ]^4*z[2]^3*z[3]^3-q^16*z[1]^3*z[2]^4*z[3]^3+q^16*z[1]^2*z[2]^5*z[3]^3-q^16*z[1] *z[2]^6*z[3]^3-q^16*z[1]*z[2]^5*z[3]^4+q^15*z[1]^6*z[2]*z[3]^4+q^15*z[1]^5*z[2] ^3*z[3]^3-2*q^15*z[1]^4*z[2]^4*z[3]^3+q^15*z[1]^3*z[2]^5*z[3]^3-2*q^15*z[1]^2*z [2]^6*z[3]^3+q^15*z[1]*z[2]^6*z[3]^4+q^14*z[1]^6*z[2]^2*z[3]^4-q^14*z[1]^4*z[2] ^5*z[3]^3+q^14*z[1]^3*z[2]^5*z[3]^4+q^13*z[1]^4*z[2]^5*z[3]^4-2*q^13*z[1]^3*z[2 ]^6*z[3]^4-q^12*z[1]^6*z[2]^4*z[3]^4+q^12*z[1]^5*z[2]^5*z[3]^4-q^12*z[1]^4*z[2] ^6*z[3]^4+q^11*z[1]^5*z[2]^6*z[3]^4+q^10*z[1]^6*z[2]^6*z[3]^4-q^19*z[2]^3*z[3]^ 3-2*q^18*z[1]*z[2]^3*z[3]^3+q^17*z[1]^4*z[2]*z[3]^3-3*q^17*z[1]^2*z[2]^3*z[3]^3 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z[3]+3*q^7*z[1]^3*z[2]^2*z[3]-6*q^7*z[1]^2*z[2]^3*z[3]+q^7*z[1]*z[2]^4*z[3]-3*q ^7*z[2]^5*z[3]-q^6*z[1]^5*z[2]*z[3]+4*q^6*z[1]^4*z[2]^2*z[3]-2*q^6*z[1]^3*z[2]^ 3*z[3]+q^6*z[1]^2*z[2]^4*z[3]-q^6*z[2]^6*z[3]+2*q^5*z[1]^5*z[2]^2*z[3]-2*q^5*z[ 1]^3*z[2]^4*z[3]+4*q^5*z[1]^2*z[2]^5*z[3]-q^5*z[1]^2*z[2]^4*z[3]^2+q^5*z[1]*z[2 ]^6*z[3]+q^4*z[1]^6*z[2]^2*z[3]-2*q^4*z[1]^3*z[2]^5*z[3]+q^4*z[1]^2*z[2]^6*z[3] -q^4*z[1]^2*z[2]^5*z[3]^2+q^3*z[1]^4*z[2]^4*z[3]^2-q^3*z[1]^3*z[2]^6*z[3]-q^3*z [1]^3*z[2]^5*z[3]^2+q^9*z[1]^2*z[3]-q^9*z[2]^3+q^9*z[2]^2*z[3]+2*q^8*z[1]^2*z[2 ]*z[3]-2*q^8*z[1]*z[2]^2*z[3]-q^8*z[2]^4+3*q^8*z[2]^3*z[3]-2*q^7*z[1]^4*z[3]+3* q^7*z[1]^3*z[2]*z[3]-6*q^7*z[1]^2*z[2]^2*z[3]+3*q^7*z[1]*z[2]^3*z[3]-q^7*z[2]^4 *z[3]-q^6*z[1]^4*z[2]*z[3]+3*q^6*z[1]^3*z[2]^2*z[3]-4*q^6*z[1]^2*z[2]^3*z[3]+q^ 6*z[1]*z[2]^4*z[3]-3*q^6*z[2]^5*z[3]-q^5*z[1]^5*z[2]*z[3]+4*q^5*z[1]^4*z[2]^2*z [3]-3*q^5*z[1]^3*z[2]^3*z[3]+3*q^5*z[1]^2*z[2]^4*z[3]+q^5*z[1]*z[2]^5*z[3]+2*q^ 4*z[1]^5*z[2]^2*z[3]-3*q^4*z[1]^3*z[2]^4*z[3]+4*q^4*z[1]^2*z[2]^5*z[3]+q^4*z[1] *z[2]^6*z[3]-2*q^3*z[1]^3*z[2]^5*z[3]+q^3*z[1]^2*z[2]^6*z[3]-q^2*z[1]^3*z[2]^6* z[3]+q^10*z[2]-q^9*z[1]^2+q^9*z[1]*z[2]-q^8*z[1]^3+q^8*z[1]*z[2]^2-q^8*z[2]^3+q ^8*z[2]^2*z[3]-q^7*z[1]^3*z[3]+q^7*z[1]*z[2]^3-q^7*z[1]*z[2]^2*z[3]+2*q^7*z[2]^ 3*z[3]-q^6*z[1]^4*z[3]+q^6*z[1]^3*z[2]*z[3]-4*q^6*z[1]^2*z[2]^2*z[3]+q^6*z[1]*z [2]^4+2*q^6*z[1]*z[2]^3*z[3]+q^6*z[2]^5-2*q^6*z[2]^4*z[3]-q^5*z[1]^4*z[2]*z[3]+ 3*q^5*z[1]^3*z[2]^2*z[3]-3*q^5*z[1]^2*z[2]^3*z[3]+q^5*z[1]*z[2]^4*z[3]+q^5*z[2] ^6-2*q^5*z[2]^5*z[3]-q^4*z[1]^5*z[2]*z[3]+4*q^4*z[1]^4*z[2]^2*z[3]-4*q^4*z[1]^3 *z[2]^3*z[3]+3*q^4*z[1]^2*z[2]^4*z[3]+q^4*z[1]*z[2]^5*z[3]+q^3*z[1]^5*z[2]^2*z[ 3]-3*q^3*z[1]^3*z[2]^4*z[3]+3*q^3*z[1]^2*z[2]^5*z[3]-2*q^2*z[1]^3*z[2]^5*z[3]-q *z[1]^3*z[2]^6*z[3]+q^10+q^9*z[2]-q^8*z[1]^2+q^8*z[1]*z[2]-q^8*z[2]^2+q^7*z[1]* z[2]^2-2*q^7*z[2]^3+q^6*z[1]^4+q^6*z[1]*z[2]^3-q^6*z[1]*z[2]^2*z[3]+q^5*z[1]^5+ q^5*z[1]^3*z[2]*z[3]-2*q^5*z[1]^2*z[2]^2*z[3]+q^5*z[1]*z[2]^3*z[3]+q^5*z[2]^5-2 *q^5*z[2]^4*z[3]-q^4*z[1]^4*z[2]*z[3]+2*q^4*z[1]^3*z[2]^2*z[3]-q^4*z[1]^2*z[2]^ 3*z[3]-q^4*z[1]*z[2]^5+q^4*z[1]*z[2]^4*z[3]-q^4*z[2]^5*z[3]+2*q^3*z[1]^4*z[2]^2 *z[3]-3*q^3*z[1]^3*z[2]^3*z[3]+3*q^3*z[1]^2*z[2]^4*z[3]-q^3*z[1]*z[2]^6-2*q^2*z [1]^3*z[2]^4*z[3]+2*q^2*z[1]^2*z[2]^5*z[3]-q*z[1]^3*z[2]^5*z[3]-q^8*z[1]-2*q^7* z[1]^2+q^7*z[1]*z[2]-2*q^7*z[2]^2-q^6*z[1]^2*z[2]+2*q^6*z[1]*z[2]^2-2*q^6*z[2]^ 3+q^5*z[1]^4-q^5*z[1]^3*z[2]+q^5*z[1]*z[2]^3+q^5*z[2]^4-q^4*z[1]^4*z[2]-q^4*z[1 ]*z[2]^4+q^4*z[1]*z[2]^3*z[3]+q^4*z[2]^5-q^4*z[2]^4*z[3]-q^3*z[1]^5*z[2]+q^3*z[ 1]^3*z[2]^2*z[3]-2*q^3*z[1]*z[2]^5+q^2*z[1]^4*z[2]^2*z[3]-2*q^2*z[1]^3*z[2]^3*z [3]+2*q^2*z[1]^2*z[2]^4*z[3]-q^2*z[1]*z[2]^6-q*z[1]^3*z[2]^4*z[3]+q*z[1]^2*z[2] ^5*z[3]-q^7*z[1]-q^6*z[1]^2+2*q^6*z[1]*z[2]-2*q^6*z[2]^2+q^5*z[1]^3+2*q^5*z[1]* z[2]^2-q^5*z[2]^3+q^4*z[1]^4-q^4*z[1]^3*z[2]+q^4*z[1]^2*z[2]^2+q^4*z[2]^4-q^3*z [1]^4*z[2]+q^3*z[1]^2*z[2]^3-2*q^3*z[1]*z[2]^4+q^3*z[2]^5+q^2*z[1]^2*z[2]^4-2*q ^2*z[1]*z[2]^5-q*z[1]^3*z[2]^3*z[3]+q*z[1]^2*z[2]^5+q*z[1]^2*z[2]^4*z[3]+z[1]^2 *z[2]^6+2*q^5*z[1]*z[2]-q^5*z[2]^2+q^4*z[1]^3-q^4*z[1]^2*z[2]+2*q^4*z[1]*z[2]^2 +q^3*z[1]^4-2*q^3*z[1]^3*z[2]+q^3*z[1]^2*z[2]^2-q^3*z[1]*z[2]^3+2*q^3*z[2]^4-q^ 2*z[1]^4*z[2]+q^2*z[1]^2*z[2]^3-2*q^2*z[1]*z[2]^4+q^2*z[2]^5+q*z[1]^2*z[2]^4-q* z[1]*z[2]^5+z[1]^2*z[2]^5+q^4*z[1]*z[2]-q^4*z[2]^2+q^3*z[1]^3-q^3*z[1]^2*z[2]-q ^2*z[1]^3*z[2]+q^2*z[1]^2*z[2]^2-2*q^2*z[1]*z[2]^3+q^2*z[2]^4+q*z[1]^2*z[2]^3-2 *q*z[1]*z[2]^4+z[1]^2*z[2]^4-z[1]*z[2]^5-q^2*z[1]^2*z[2]+q^2*z[2]^3-q*z[1]^3*z[ 2]+q*z[1]^2*z[2]^2-q*z[1]*z[2]^3+q*z[2]^4+z[1]^2*z[2]^3-z[1]*z[2]^4+z[1]^2*z[2] ^2-z[1]*z[2]^3)*(z[2]-1)*(-1+z[1])/(q^2*z[3]-1)/(q^3*z[3]-1)/(q^4*z[3]-1)/(q^4* z[2]*z[3]-1)/(q^3*z[2]*z[3]-1)/(q^2*z[2]*z[3]-1)/(q*z[2]*z[3]-1)/(q*z[1]*z[3]-1 )/(q^2*z[1]*z[3]-1)/(q^4*z[1]*z[3]-1)/(q^3*z[1]*z[3]-1)/(q*z[3]-1) 8 x[1] For the coeff., ----- 8 x[2] we have: 32 4 8 31 2 4 7 30 2 4 8 - (q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 31 4 7 30 2 4 7 29 2 4 8 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 30 2 4 6 30 3 8 29 3 4 6 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 28 3 4 7 31 3 7 30 4 6 - q z[1] z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] 29 2 4 6 29 3 8 28 3 4 6 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 28 2 4 7 27 3 4 7 30 3 6 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 29 2 4 5 29 3 7 28 3 4 5 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 28 2 4 6 28 2 3 7 28 3 8 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 27 3 4 6 27 2 3 8 26 3 4 7 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 25 3 4 8 31 2 4 2 30 3 6 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 29 3 4 3 29 4 5 29 3 6 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 28 2 4 5 28 3 7 - 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 27 3 4 5 27 2 3 7 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 26 4 4 5 26 2 3 8 25 3 4 7 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 24 4 4 7 32 4 30 2 4 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 29 3 5 29 2 7 28 3 4 3 + q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 28 2 4 4 28 2 3 5 27 3 4 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 27 2 4 5 27 2 3 6 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 27 3 7 27 2 8 26 4 4 4 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 26 3 4 5 26 2 3 7 25 4 4 5 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 24 3 4 7 23 4 4 7 22 4 4 8 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 31 4 29 2 4 2 29 3 5 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[2] z[3] 28 4 4 28 3 5 28 2 7 + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[2] z[3] 27 3 4 3 27 2 4 4 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 27 2 3 5 27 3 6 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 26 3 4 4 26 2 4 5 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 26 2 3 6 26 3 7 26 2 8 + 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 25 3 4 5 25 3 3 6 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 24 4 4 5 24 3 4 6 24 2 3 8 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 23 4 4 6 23 3 4 7 23 3 3 8 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 22 4 4 7 32 4 30 4 + q z[1] z[2] z[3] + q z[2] - q z[1] z[2] z[3] 28 2 4 2 28 3 4 28 2 6 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 27 3 4 2 27 2 4 3 27 2 3 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 27 3 5 27 2 6 27 2 7 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] z[3] 26 3 4 3 26 2 4 4 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 26 2 3 5 26 3 6 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 26 2 7 25 4 4 3 25 3 4 4 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 25 2 4 5 25 2 3 6 25 3 7 - q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] - q z[1] z[2] z[3] 25 2 8 24 3 4 5 24 3 3 6 + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 24 2 3 7 23 4 4 5 + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 23 3 4 6 23 3 3 7 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 22 4 4 6 22 3 3 8 29 4 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 28 2 4 28 3 4 28 2 5 + q z[1] z[2] z[3] - q z[2] z[3] - q z[2] z[3] 27 2 4 2 27 4 3 27 3 4 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 27 2 6 26 3 4 2 26 2 4 3 + 2 q z[2] z[3] - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 26 2 3 4 26 2 6 - 3 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 25 3 4 3 25 3 3 4 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 25 2 4 4 25 2 3 5 25 3 6 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 25 2 7 24 4 4 3 24 3 4 4 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 24 3 3 5 24 2 3 6 24 2 2 7 - q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] - q z[1] z[2] z[3] 24 3 7 23 4 4 4 23 3 4 5 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 23 3 3 6 23 2 3 7 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 22 4 4 5 22 3 4 6 - 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 21 4 4 6 21 3 3 8 28 4 + 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 27 2 4 27 3 3 26 2 4 2 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 26 2 3 3 26 3 4 26 2 5 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 26 2 6 26 7 25 3 4 2 + 2 q z[2] z[3] - q z[2] z[3] - 3 q z[1] z[2] z[3] 25 2 4 3 25 2 3 4 25 3 5 - 2 q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] 25 2 6 24 3 4 3 24 3 3 4 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 24 2 4 4 24 2 3 5 24 3 6 - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 24 2 7 23 4 4 3 + 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 23 3 4 4 23 3 3 5 + 7 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 23 2 3 6 23 2 2 7 + 7 q z[1] z[2] z[3] - q z[1] z[2] z[3] 22 4 4 4 22 3 3 6 - 2 q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 22 2 3 7 22 2 2 8 21 4 4 5 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 21 4 3 6 21 3 4 6 21 3 3 7 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 20 4 4 6 20 4 3 7 28 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] 27 4 27 3 3 27 2 4 - q z[1] z[2] z[3] - q z[2] z[3] - q z[2] z[3] 26 2 4 26 2 3 2 26 4 2 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 26 3 3 26 2 4 26 2 5 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 25 2 4 2 25 2 3 3 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 25 3 4 25 2 5 25 2 6 + 2 q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] + q z[2] z[3] 25 7 24 3 4 2 24 2 4 3 - q z[2] z[3] - 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 24 2 3 4 24 2 2 5 24 3 5 - 5 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 23 3 3 4 23 2 4 4 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 23 2 3 5 23 2 2 6 23 3 6 + 6 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 23 2 7 23 8 22 4 4 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 22 3 4 4 22 3 3 5 + 6 q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 22 2 3 6 22 2 2 7 + 6 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 21 4 4 4 21 3 4 5 - 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 21 3 3 6 21 2 3 7 - 6 q z[1] z[2] z[3] - q z[1] z[2] z[3] 21 2 2 8 20 4 4 5 20 4 3 6 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 20 3 3 7 19 4 4 6 + 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 19 4 3 7 27 4 27 3 - q z[1] z[2] z[3] - q z[1] z[2] - q z[1] z[2] z[3] 26 4 26 3 2 26 2 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 25 2 4 25 2 3 2 25 3 3 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 25 2 4 25 2 5 25 6 + q z[1] z[2] z[3] + 2 q z[2] z[3] - q z[2] z[3] 24 2 4 2 24 2 3 3 24 3 4 + q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] + q z[1] z[2] z[3] 24 2 5 24 2 6 24 7 - 7 q z[1] z[2] z[3] + q z[2] z[3] - q z[2] z[3] 23 3 4 2 23 3 3 3 - 5 q z[1] z[2] z[3] + q z[1] z[2] z[3] 23 2 4 3 23 2 3 4 - 3 q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 23 2 2 5 23 3 5 23 2 6 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 22 4 4 2 22 3 4 3 + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 22 3 3 4 22 2 3 5 + 5 q z[1] z[2] z[3] + 9 q z[1] z[2] z[3] 22 2 2 6 22 2 7 21 4 4 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 21 3 4 4 21 3 3 5 + 5 q z[1] z[2] z[3] - 10 q z[1] z[2] z[3] 21 2 3 6 21 2 2 7 + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 20 4 4 4 20 4 3 5 20 3 4 5 - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 20 3 3 6 20 3 2 7 20 2 2 8 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 19 4 3 6 19 3 3 7 19 3 2 8 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 4 4 6 18 4 3 7 17 4 3 8 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 26 4 26 3 26 3 2 - q z[1] z[2] - 2 q z[1] z[2] z[3] - q z[2] z[3] 26 2 3 25 3 2 25 2 3 - q z[2] z[3] + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 25 5 24 2 4 24 2 3 2 + q z[2] z[3] + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 24 3 3 24 2 4 24 2 5 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] z[3] 24 6 23 3 4 23 3 3 2 - 2 q z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 23 2 4 2 23 2 3 3 23 2 2 4 + q z[1] z[2] z[3] - 8 q z[1] z[2] z[3] + q z[1] z[2] z[3] 23 2 5 23 6 23 2 6 - 8 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 22 3 4 2 22 3 3 3 - 5 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 22 2 4 3 22 2 3 4 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 22 2 2 5 22 3 5 22 2 6 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 22 7 21 4 4 2 21 4 3 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 21 3 4 3 21 3 3 4 + 4 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 21 2 3 5 21 2 2 6 + 10 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 21 2 7 20 4 4 3 20 3 4 4 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 20 3 3 5 20 2 2 7 - 14 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 19 4 4 4 19 4 3 5 - 5 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 19 3 4 5 19 3 3 6 19 3 2 7 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 18 4 4 5 18 3 3 7 18 3 2 8 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 4 4 6 17 4 3 7 27 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] 25 4 25 3 25 2 3 - q z[1] z[2] - 2 q z[1] z[2] z[3] - q z[2] z[3] 24 2 3 24 3 2 24 2 3 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 24 2 4 24 5 23 2 4 + q z[2] z[3] + q z[2] z[3] + 3 q z[1] z[2] z[3] 23 2 2 3 23 3 3 23 2 4 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 23 2 5 23 6 22 3 4 + q z[2] z[3] - 3 q z[2] z[3] - 2 q z[1] z[2] z[3] 22 3 3 2 22 2 4 2 22 2 3 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - 12 q z[1] z[2] z[3] 22 2 2 4 22 3 4 22 2 5 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] 22 6 21 3 4 2 + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 21 3 3 3 21 2 4 3 + 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] 21 2 3 4 21 2 2 5 + 3 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 21 2 6 20 4 4 2 20 4 3 3 + 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 20 3 4 3 20 3 3 4 20 3 2 5 + 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 20 2 3 5 20 2 2 6 20 2 7 + 6 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] + q z[1] z[2] z[3] 19 4 4 3 19 4 3 4 19 3 4 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 19 3 3 5 19 3 2 6 - 14 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 19 2 2 7 19 2 8 18 4 4 4 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 18 4 3 5 18 3 3 6 + 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 18 3 2 7 17 4 4 5 17 3 3 7 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 4 3 7 26 3 25 3 25 2 2 - 2 q z[1] z[2] z[3] + q z[2] - q z[2] z[3] - q z[2] z[3] 24 3 24 2 2 24 2 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 24 4 23 2 4 23 2 3 + q z[2] z[3] + q z[1] z[2] - q z[1] z[2] z[3] 23 3 2 23 2 3 23 2 4 + 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[2] z[3] 22 2 4 22 2 3 2 22 2 2 3 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 22 3 3 22 2 4 22 5 + 2 q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] + q z[1] z[2] z[3] 22 2 5 22 6 22 7 21 3 4 + q z[2] z[3] - 2 q z[2] z[3] + q z[3] - 3 q z[1] z[2] z[3] 21 3 3 2 21 2 4 2 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 21 2 3 3 21 2 2 4 - 12 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 21 3 4 21 2 5 21 6 - q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] + q z[1] z[2] z[3] 20 3 4 2 20 3 3 3 - 3 q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] 20 2 3 4 20 2 2 5 + 7 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 20 2 6 20 7 19 4 4 2 + 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 19 4 3 3 19 3 4 3 - 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 19 3 3 4 19 3 2 5 - 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 19 2 3 5 19 2 2 6 + 3 q z[1] z[2] z[3] - 11 q z[1] z[2] z[3] 18 4 4 3 18 4 3 4 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 18 3 3 5 18 3 2 6 - 11 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 18 2 2 7 18 2 8 17 4 4 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 17 4 3 5 17 3 3 6 + 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 16 4 4 5 16 4 3 6 16 3 2 8 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 4 3 7 25 3 24 3 24 2 2 - q z[1] z[2] z[3] + q z[2] + q z[1] z[2] - q z[2] z[3] 23 3 23 2 2 23 4 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + 2 q z[2] z[3] 22 2 4 22 2 2 2 22 3 2 + q z[1] z[2] - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 22 2 3 22 4 22 2 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] z[3] 22 5 21 2 4 21 2 3 2 - 2 q z[2] z[3] + 2 q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 21 2 2 3 21 2 4 - 2 q z[1] z[2] z[3] - 10 q z[1] z[2] z[3] 21 5 21 6 20 3 4 + 3 q z[1] z[2] z[3] - 2 q z[2] z[3] - 3 q z[1] z[2] z[3] 20 3 3 2 20 2 4 2 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 20 2 3 3 20 2 2 4 - 9 q z[1] z[2] z[3] + 12 q z[1] z[2] z[3] 20 2 5 20 6 19 4 3 2 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 19 3 4 2 19 3 3 3 - 2 q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] 19 3 2 4 19 2 3 4 - q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 19 2 2 5 19 2 6 19 2 6 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 18 4 4 2 18 4 3 3 + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 18 3 4 3 18 3 3 4 + 4 q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] 18 3 2 5 18 2 3 5 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 2 2 6 18 2 7 - 9 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 17 4 4 3 17 4 3 4 - 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 17 3 3 5 17 3 2 6 - 8 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 17 2 2 7 17 2 8 16 4 4 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 16 4 3 5 16 3 3 6 + 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 16 3 2 7 15 4 4 5 15 4 3 6 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 15 4 2 7 14 4 2 8 24 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 23 2 23 2 2 22 3 + q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 22 2 2 22 4 21 2 4 + 3 q z[1] z[2] z[3] + 3 q z[2] z[3] + 2 q z[1] z[2] 21 2 3 21 2 2 2 21 3 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 21 4 21 2 4 21 5 21 6 - q z[1] z[2] z[3] + q z[2] z[3] - 2 q z[2] z[3] + q z[3] 20 3 3 20 2 4 20 2 3 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] 20 2 2 3 20 3 3 20 2 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - 12 q z[1] z[2] z[3] 20 5 20 6 19 3 4 + 3 q z[1] z[2] z[3] - 2 q z[2] z[3] - 3 q z[1] z[2] z[3] 19 3 3 2 19 2 3 3 + 5 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 19 2 2 4 19 2 5 19 6 + 18 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 18 4 3 2 18 3 4 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 3 3 3 18 3 2 4 + 6 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 18 2 3 4 18 2 2 5 + 5 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 18 2 6 18 2 6 18 7 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 4 4 2 17 4 3 3 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 17 3 4 3 17 3 3 4 + 2 q z[1] z[2] z[3] - 10 q z[1] z[2] z[3] 17 3 2 5 17 2 2 6 17 2 7 + q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 16 4 4 3 16 4 3 4 - 2 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 16 3 3 5 16 3 2 6 - 4 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 16 2 2 7 15 4 4 4 15 4 3 5 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 15 3 3 6 15 3 2 7 14 4 3 6 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 14 4 2 7 13 4 2 8 23 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 22 3 22 2 22 2 2 22 3 - q z[1] z[2] + q z[1] z[2] z[3] - q z[2] z[3] + q z[2] z[3] 21 2 2 21 3 21 2 3 + 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] z[3] 21 4 21 5 20 2 4 20 2 2 2 + 2 q z[2] z[3] - q z[3] + q z[1] z[2] - 3 q z[1] z[2] z[3] 20 3 2 20 2 3 20 4 + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 20 5 20 6 19 3 3 - 3 q z[2] z[3] + q z[3] + 3 q z[1] z[2] z[3] 19 2 3 2 19 2 2 3 - 7 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 19 2 4 19 5 19 6 - 8 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] - q z[2] z[3] 18 3 4 18 3 3 2 18 3 2 3 - 3 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 2 3 3 18 2 2 4 - 3 q z[1] z[2] z[3] + 20 q z[1] z[2] z[3] 18 2 5 18 2 5 18 6 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 18 7 17 4 4 17 4 3 2 - q z[1] z[3] + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 17 3 4 2 17 3 3 3 + q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 17 3 2 4 17 2 3 4 - 5 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 17 2 2 5 17 2 6 17 2 6 - 9 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 7 16 4 4 2 16 4 3 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 3 4 3 16 3 3 4 + q z[1] z[2] z[3] - 10 q z[1] z[2] z[3] 16 3 2 5 16 2 2 6 + 3 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 16 2 7 15 4 4 3 + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 15 4 3 4 15 3 3 5 + 7 q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 3 2 6 14 4 2 6 14 3 2 7 + 7 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 3 8 13 4 3 6 23 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] 22 2 21 3 21 2 - q z[2] z[3] - 2 q z[1] z[2] + q z[1] z[2] z[3] 21 2 2 21 3 20 2 3 - q z[2] z[3] + 2 q z[2] z[3] - q z[1] z[2] 20 3 20 2 2 20 3 + q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 20 2 3 20 4 19 2 4 + q z[2] z[3] + 2 q z[2] z[3] + q z[1] z[2] 19 2 3 19 2 2 2 19 2 3 - q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] - 9 q z[1] z[2] z[3] 19 4 19 5 19 6 - q z[1] z[2] z[3] - 3 q z[2] z[3] + q z[3] 18 3 3 18 3 2 2 18 2 3 2 + 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 18 2 2 3 18 2 4 18 2 4 + 9 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 18 5 17 3 4 17 3 3 2 + 9 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 17 3 2 3 17 2 2 4 - 3 q z[1] z[2] z[3] + 15 q z[1] z[2] z[3] 17 2 5 17 2 5 17 6 - 5 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 7 16 4 4 16 4 3 2 - q z[1] z[3] + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 16 3 4 2 16 3 3 3 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 16 3 2 4 16 2 3 4 - 5 q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 2 2 5 15 4 4 2 - 10 q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 3 3 4 15 3 2 5 - 8 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 15 2 2 6 15 2 7 14 4 4 3 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 14 4 3 4 14 3 2 6 + 6 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 13 4 3 5 13 4 2 6 13 3 2 7 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 3 8 12 4 2 7 21 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 20 3 20 2 20 3 20 4 - 2 q z[1] z[2] + 2 q z[1] z[2] z[3] + 3 q z[2] z[3] - q z[3] 19 2 3 19 2 2 19 3 - 2 q z[1] z[2] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 19 2 2 19 3 18 2 3 + 5 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 2 2 2 18 2 3 18 4 - 4 q z[1] z[2] z[3] - 8 q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 5 18 6 17 3 4 17 3 3 - 3 q z[2] z[3] + q z[3] - q z[1] z[2] + 4 q z[1] z[2] z[3] 17 3 2 2 17 2 3 2 + q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 17 2 2 3 17 2 4 17 2 4 + 13 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 5 17 6 16 3 4 + 9 q z[1] z[2] z[3] - q z[1] z[3] - 2 q z[1] z[2] z[3] 16 3 3 2 16 3 2 3 + 7 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 16 2 3 3 16 2 2 4 + q z[1] z[2] z[3] + 11 q z[1] z[2] z[3] 16 2 5 16 2 5 16 6 - 7 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 7 15 4 4 15 4 3 2 - q z[1] z[3] + q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 15 3 4 2 15 3 3 3 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 15 3 2 4 15 2 2 5 - 5 q z[1] z[2] z[3] - 9 q z[1] z[2] z[3] 15 2 6 14 4 4 2 14 4 3 3 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 14 3 3 4 14 3 2 5 14 3 6 - 4 q z[1] z[2] z[3] + 9 q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 2 7 13 4 4 3 13 4 3 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 13 4 2 5 13 3 2 6 13 3 7 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 4 3 5 12 4 2 6 12 3 8 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 20 2 19 3 19 2 - 2 q z[2] z[3] - q z[1] z[2] + 4 q z[1] z[2] z[3] 19 2 2 19 3 19 4 18 2 3 + q z[2] z[3] + 4 q z[2] z[3] - q z[3] - 2 q z[1] z[2] 18 2 2 18 2 2 18 3 - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 8 q z[1] z[2] z[3] 18 4 18 5 17 2 2 2 - q z[2] z[3] + q z[3] - q z[1] z[2] z[3] 17 2 3 17 2 3 17 4 + q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] 17 5 17 5 17 6 16 3 4 + q z[1] z[3] - q z[2] z[3] + q z[3] - q z[1] z[2] 16 3 3 16 3 2 2 16 2 3 2 + 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 16 2 2 3 16 2 4 16 5 + 15 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 16 6 15 4 3 15 4 2 2 - 2 q z[1] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 3 4 15 3 3 2 15 3 2 3 - q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] - 8 q z[1] z[2] z[3] 15 2 3 3 15 2 2 4 15 2 5 + q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - 8 q z[1] z[2] z[3] 15 6 14 4 4 14 4 3 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 14 3 3 3 14 3 2 4 - 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 14 2 2 5 14 2 6 13 4 3 3 - 6 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 13 3 3 4 13 3 2 5 - 2 q z[1] z[2] z[3] + 10 q z[1] z[2] z[3] 13 3 6 13 2 7 12 4 4 3 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 4 3 4 12 4 2 5 + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 3 7 11 4 3 5 20 2 - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] 19 2 19 2 19 2 + 2 q z[1] z[2] - q z[2] z[3] + q z[2] z[3] 18 2 18 2 18 3 + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 3 q z[2] z[3] 18 4 17 2 3 17 2 2 - 2 q z[3] - q z[1] z[2] - 5 q z[1] z[2] z[3] 17 3 17 4 17 5 - 9 q z[1] z[2] z[3] - 2 q z[2] z[3] + q z[3] 16 3 2 16 2 3 16 2 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 16 2 3 16 4 16 5 - 4 q z[1] z[2] z[3] + 10 q z[1] z[2] z[3] + q z[1] z[3] 16 5 16 6 15 3 4 15 3 3 - q z[2] z[3] + q z[3] - q z[1] z[2] + 5 q z[1] z[2] z[3] 15 2 3 2 15 2 2 3 - 2 q z[1] z[2] z[3] + 16 q z[1] z[2] z[3] 15 2 4 15 2 4 15 5 - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 15 6 14 4 3 14 4 2 2 - 3 q z[1] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 3 3 2 14 3 2 3 + 3 q z[1] z[2] z[3] - 12 q z[1] z[2] z[3] 14 2 2 4 14 2 5 14 6 - q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 4 4 13 4 3 2 13 3 3 3 + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 13 3 2 4 13 3 5 13 2 2 5 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 13 2 6 13 2 7 12 4 3 3 + 4 q z[1] z[2] z[3] + q z[1] z[3] + 4 q z[1] z[2] z[3] 12 4 2 4 12 3 3 4 12 3 2 5 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 12 2 7 11 4 3 4 11 4 2 5 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 3 7 19 18 2 - 2 q z[1] z[2] z[3] - q z[2] z[3] + 3 q z[1] z[2] 18 18 2 17 2 + q z[1] z[2] z[3] + 3 q z[2] z[3] + 2 q z[1] z[2] z[3] 17 2 17 3 17 4 16 2 3 - 4 q z[1] z[2] z[3] + q z[2] z[3] - 2 q z[3] + q z[1] z[2] 16 2 2 16 2 2 16 3 - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] 16 4 16 4 16 5 15 3 3 + q z[1] z[3] - q z[2] z[3] + 2 q z[3] + q z[1] z[2] 15 3 2 15 2 3 15 2 2 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 15 2 3 15 2 3 15 4 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 11 q z[1] z[2] z[3] 14 3 4 14 3 3 14 3 2 2 - q z[1] z[2] + 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 2 2 3 14 2 4 14 5 + 13 q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 6 13 4 3 13 4 2 2 - 2 q z[1] z[3] - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 13 3 3 2 13 3 2 3 + q z[1] z[2] z[3] - 12 q z[1] z[2] z[3] 13 2 2 4 13 2 5 13 6 - 3 q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 4 4 12 4 3 2 12 3 3 3 + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 3 2 4 12 3 5 12 2 2 5 + 7 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 2 6 12 2 7 11 4 4 2 + 4 q z[1] z[2] z[3] + q z[1] z[3] - q z[1] z[2] z[3] 11 4 3 3 11 4 2 4 + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 3 2 5 11 3 6 10 4 2 5 + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 3 7 8 4 8 18 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 17 2 17 17 2 17 3 + 3 q z[1] z[2] + q z[1] z[2] z[3] + 3 q z[2] z[3] - q z[3] 16 2 2 16 2 16 2 + q z[1] z[2] + 2 q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] 16 4 15 2 3 15 2 2 - 2 q z[3] + q z[1] z[2] - 5 q z[1] z[2] z[3] 15 2 2 15 2 2 15 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 15 4 15 4 15 5 14 3 3 + 2 q z[1] z[3] - q z[2] z[3] + 2 q z[3] + 2 q z[1] z[2] 14 2 3 14 2 2 2 14 2 3 - q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 14 4 14 5 13 3 3 + 10 q z[1] z[2] z[3] - 2 q z[1] z[3] + 4 q z[1] z[2] z[3] 13 3 2 2 13 2 2 3 - 5 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 13 2 4 13 5 13 6 - 10 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[3] 12 4 3 12 4 2 2 12 3 3 2 - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 3 2 3 12 3 4 12 2 2 4 - 9 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 2 5 12 2 6 11 4 4 - 2 q z[1] z[2] z[3] + q z[1] z[3] + q z[1] z[2] z[3] 11 4 3 2 11 4 2 3 11 3 3 3 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 3 2 4 11 3 5 + 6 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 11 2 6 11 2 7 10 4 3 3 + 3 q z[1] z[2] z[3] + q z[1] z[3] + 4 q z[1] z[2] z[3] 10 4 2 4 10 3 2 5 10 3 6 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 9 4 2 5 9 3 7 18 17 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] + q z[3] 16 2 16 2 16 3 15 2 + q z[1] z[2] + 2 q z[2] z[3] - 2 q z[3] + q z[1] z[2] z[3] 15 2 15 2 15 4 + 2 q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] - q z[3] 14 2 3 14 2 2 14 2 2 + q z[1] z[2] - 5 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 14 2 2 14 3 14 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[3] 14 5 13 3 3 13 3 2 + 2 q z[3] + 3 q z[1] z[2] + q z[1] z[2] z[3] 13 2 2 2 13 4 13 5 + 8 q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] - 2 q z[1] z[3] 12 4 2 12 3 3 12 3 2 2 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] 12 2 2 3 12 2 4 12 2 5 + 2 q z[1] z[2] z[3] - 12 q z[1] z[2] z[3] - q z[1] z[3] 12 5 12 6 11 4 3 - q z[1] z[2] z[3] - 2 q z[1] z[3] - 3 q z[1] z[2] z[3] 11 4 2 2 11 3 3 2 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 3 2 3 11 3 4 11 2 2 4 - 4 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 2 5 11 2 6 10 4 3 2 + q z[1] z[2] z[3] + 2 q z[1] z[3] - q z[1] z[2] z[3] 10 4 2 3 10 3 2 4 10 2 6 - 2 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 4 3 3 9 4 2 4 9 3 6 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 3 7 7 4 7 17 16 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] + q z[2] z[3] 16 2 15 15 2 15 3 + q z[3] - q z[1] z[2] z[3] + q z[2] z[3] - 3 q z[3] 14 2 2 14 2 14 2 - 2 q z[1] z[2] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 2 14 3 14 3 - 8 q z[1] z[2] z[3] + q z[1] z[3] - q z[2] z[3] 13 2 2 13 2 2 13 3 - 3 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 13 4 13 5 12 3 3 + 2 q z[1] z[3] + q z[3] + 2 q z[1] z[2] 12 2 2 2 12 2 3 12 4 + 5 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 12 5 11 4 2 11 3 3 - 3 q z[1] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 3 2 2 11 3 3 11 2 2 3 - 7 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 2 4 11 5 11 6 - 8 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[3] 10 4 4 10 4 3 10 4 2 2 + q z[1] z[2] - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 10 3 2 3 10 3 4 - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 10 2 5 10 2 6 9 4 3 2 + 2 q z[1] z[2] z[3] + 2 q z[1] z[3] + q z[1] z[2] z[3] 9 4 2 3 9 3 2 4 9 3 5 - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 2 6 8 4 3 3 8 4 2 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 8 3 6 16 15 15 2 - q z[1] z[2] z[3] - q z[2] - q z[1] z[2] + q z[3] 14 14 2 14 3 13 2 2 - q z[1] z[2] z[3] + q z[2] z[3] - 3 q z[3] - 4 q z[1] z[2] 13 2 13 2 13 3 + q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] + 2 q z[1] z[3] 13 4 12 3 2 12 2 2 + q z[3] - q z[1] z[2] + 7 q z[1] z[2] z[3] 12 3 12 4 12 5 11 3 3 + 4 q z[1] z[2] z[3] + 2 q z[1] z[3] + q z[3] + q z[1] z[2] 11 3 2 11 2 2 2 11 2 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 9 q z[1] z[2] z[3] 11 2 4 11 4 11 5 - q z[1] z[3] + q z[1] z[2] z[3] - 3 q z[1] z[3] 10 4 2 10 3 3 10 3 2 2 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 10 3 3 10 2 4 10 2 5 + 3 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + q z[1] z[3] 9 4 3 9 4 2 2 9 3 4 - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 9 2 5 9 2 6 8 4 3 2 + q z[1] z[2] z[3] + q z[1] z[3] + q z[1] z[2] z[3] 8 4 2 3 8 3 2 4 8 3 5 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 4 2 4 7 3 6 7 3 7 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[3] 6 4 6 15 13 13 3 + q z[1] z[2] z[3] + q z[3] - 2 q z[1] z[2] z[3] - 3 q z[3] 12 2 2 12 2 12 2 - 4 q z[1] z[2] + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 12 3 12 4 11 3 2 11 3 + 3 q z[1] z[3] + q z[3] - 2 q z[1] z[2] - q z[1] z[2] z[3] 11 2 2 11 3 10 3 2 + 5 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 3 2 10 2 2 2 10 2 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 8 q z[1] z[2] z[3] 10 2 4 10 5 9 4 3 - q z[1] z[3] - 3 q z[1] z[3] - q z[1] z[2] 9 4 2 9 3 2 2 9 3 3 + 3 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 9 2 4 9 2 5 8 4 3 - q z[1] z[2] z[3] + 2 q z[1] z[3] - 2 q z[1] z[2] z[3] 8 4 2 2 8 3 2 3 8 3 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 2 5 8 2 6 7 4 3 2 + q z[1] z[2] z[3] + q z[1] z[3] + q z[1] z[2] z[3] 7 4 2 3 7 3 5 14 13 - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[3] + q z[1] z[2] 12 12 3 11 2 2 - 4 q z[1] z[2] z[3] - 2 q z[3] - 2 q z[1] z[2] 11 2 11 3 11 4 10 3 2 + 4 q z[1] z[2] z[3] + 4 q z[1] z[3] + q z[3] - 2 q z[1] z[2] 10 3 10 2 2 10 2 3 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[3] 10 3 10 4 9 3 2 + q z[1] z[2] z[3] - q z[1] z[3] + 3 q z[1] z[2] z[3] 9 2 3 9 5 8 4 3 - 6 q z[1] z[2] z[3] - q z[1] z[3] - q z[1] z[2] 8 4 2 8 3 2 2 8 3 3 + 3 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 8 2 5 7 4 3 7 4 2 2 + q z[1] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 3 2 3 7 2 6 6 4 2 3 + q z[1] z[2] z[3] + q z[1] z[3] - 2 q z[1] z[2] z[3] 6 3 5 6 3 6 5 4 5 13 - q z[1] z[2] z[3] - q z[1] z[3] + q z[1] z[2] z[3] + q z[3] 12 12 2 11 2 11 + 2 q z[1] z[2] - q z[3] + 2 q z[1] z[2] - 3 q z[1] z[2] z[3] 11 2 11 3 10 2 2 10 2 + q z[1] z[3] - q z[3] - q z[1] z[2] + 4 q z[1] z[2] z[3] 10 3 10 4 9 3 2 9 3 + 3 q z[1] z[3] + q z[3] - q z[1] z[2] - 2 q z[1] z[2] z[3] 9 2 3 9 4 8 4 - q z[1] z[3] - 2 q z[1] z[3] - q z[1] z[2] z[3] 8 3 2 8 3 2 8 2 3 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 8 2 4 8 5 7 4 3 7 4 2 + q z[1] z[3] - q z[1] z[3] - q z[1] z[2] + 3 q z[1] z[2] z[3] 7 3 2 2 7 3 3 7 2 4 - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 2 5 6 4 2 2 6 3 4 + q z[1] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 5 4 2 3 12 11 11 - q z[1] z[2] z[3] + q z[3] + q z[1] z[2] - q z[1] z[3] 11 2 10 2 10 10 2 - q z[3] + 3 q z[1] z[2] - q z[1] z[2] z[3] + 3 q z[1] z[3] 9 2 9 2 2 9 3 8 3 2 + 2 q z[1] z[2] z[3] - q z[1] z[3] + q z[1] z[3] + q z[1] z[2] 8 3 8 2 3 8 4 7 4 2 - q z[1] z[2] z[3] - q z[1] z[3] - q z[1] z[3] + q z[1] z[2] 7 4 7 3 2 7 3 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 7 2 3 7 2 4 6 4 3 - 2 q z[1] z[2] z[3] + q z[1] z[3] - q z[1] z[2] 6 4 2 6 3 3 6 2 5 + 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[3] 5 4 2 2 5 3 4 5 3 5 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[3] 4 4 4 11 10 10 2 + q z[1] z[2] z[3] + q z[3] - q z[1] z[3] - q z[3] 9 2 9 2 8 3 8 2 + 3 q z[1] z[2] + 3 q z[1] z[3] + q z[1] z[2] + 2 q z[1] z[2] z[3] 8 2 2 7 3 2 7 3 - q z[1] z[3] + q z[1] z[2] - q z[1] z[2] z[3] 7 2 2 7 4 6 4 2 - q z[1] z[2] z[3] - q z[1] z[3] + q z[1] z[2] 6 4 6 3 2 6 3 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 6 2 4 5 4 2 4 4 2 2 10 + q z[1] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] 8 2 8 2 8 2 7 2 + q z[1] z[2] - q z[1] z[3] + 2 q z[1] z[3] + 2 q z[1] z[2] z[3] 7 2 2 6 3 2 6 3 - q z[1] z[3] + q z[1] z[2] - q z[1] z[2] z[3] 6 2 2 5 4 2 5 4 - q z[1] z[2] z[3] + 2 q z[1] z[2] - q z[1] z[2] z[3] 5 3 2 5 2 4 4 4 2 + 4 q z[1] z[2] z[3] + q z[1] z[3] + q z[1] z[2] z[3] 4 3 3 4 3 4 3 4 3 9 - q z[1] z[2] z[3] - q z[1] z[3] + q z[1] z[2] z[3] - q z[1] 8 7 2 7 2 6 3 + q z[1] z[3] - q z[1] z[3] + q z[1] z[3] - q z[1] z[2] 6 2 6 2 2 6 3 5 2 3 + q z[1] z[2] z[3] - q z[1] z[3] - q z[1] z[3] + q z[1] z[3] 4 4 2 4 4 4 3 2 8 + q z[1] z[2] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] 7 2 6 2 6 2 5 3 - q z[1] - q z[1] z[3] + q z[1] z[3] - 2 q z[1] z[2] 5 2 2 4 4 4 3 4 2 3 - q z[1] z[3] - q z[1] z[2] + q z[1] z[2] z[3] + q z[1] z[3] 3 4 2 3 4 3 3 3 + q z[1] z[2] - q z[1] z[2] z[3] - q z[1] z[3] 2 4 2 5 2 4 3 3 4 + q z[1] z[2] z[3] - q z[1] z[3] - 2 q z[1] z[2] - q z[1] z[2] 3 3 2 4 4 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[3] 3 3 3 2 2 2 4 2 3 2 - q z[1] z[2] + q z[1] z[3] - q z[1] z[2] - q z[1] z[3] 4 2 3 3 3 2 4 2 3 + q z[1] + q z[1] - q z[1] z[3] - q z[1] z[2] + q z[1] 3 3 4 3 2 - q z[1] z[3] + q z[1] + z[1] ) (-1 + z[1]) (q - z[1]) (q - z[1]) / 4 7 8 (-z[1] + q) / ((q z[2] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) / 2 3 3 (q z[2] - 1) (q z[2] - 1) (q z[2] - 1) (q z[2] z[3] - 1) 5 2 4 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) 6 (q z[2] z[3] - 1)) and in Maple input notation: -(q^32*z[1]*z[2]^4*z[3]^8-q^31*z[1]^2*z[2]^4*z[3]^7+q^30*z[1]^2*z[2]^4*z[3]^8+q ^31*z[1]*z[2]^4*z[3]^7-q^30*z[1]^2*z[2]^4*z[3]^7+q^29*z[1]^2*z[2]^4*z[3]^8-q^30 *z[1]^2*z[2]^4*z[3]^6-q^30*z[1]*z[2]^3*z[3]^8+q^29*z[1]^3*z[2]^4*z[3]^6-q^28*z[ 1]^3*z[2]^4*z[3]^7-q^31*z[2]^3*z[3]^7+q^30*z[1]*z[2]^4*z[3]^6-2*q^29*z[1]^2*z[2 ]^4*z[3]^6-q^29*z[1]*z[2]^3*z[3]^8+q^28*z[1]^3*z[2]^4*z[3]^6+q^28*z[1]^2*z[2]^4 *z[3]^7-q^27*z[1]^3*z[2]^4*z[3]^7+q^30*z[1]*z[2]^3*z[3]^6-q^29*z[1]^2*z[2]^4*z[ 3]^5-2*q^29*z[1]*z[2]^3*z[3]^7+q^28*z[1]^3*z[2]^4*z[3]^5-q^28*z[1]^2*z[2]^4*z[3 ]^6+q^28*z[1]^2*z[2]^3*z[3]^7-q^28*z[1]*z[2]^3*z[3]^8+q^27*z[1]^3*z[2]^4*z[3]^6 -q^27*z[1]^2*z[2]^3*z[3]^8-q^26*z[1]^3*z[2]^4*z[3]^7-q^25*z[1]^3*z[2]^4*z[3]^8+ q^31*z[1]^2*z[2]^4*z[3]^2-q^30*z[2]^3*z[3]^6-q^29*z[1]^3*z[2]^4*z[3]^3+q^29*z[1 ]*z[2]^4*z[3]^5+2*q^29*z[1]*z[2]^3*z[3]^6-2*q^28*z[1]^2*z[2]^4*z[3]^5-3*q^28*z[ 1]*z[2]^3*z[3]^7+2*q^27*z[1]^3*z[2]^4*z[3]^5+2*q^27*z[1]^2*z[2]^3*z[3]^7-q^26*z [1]^4*z[2]^4*z[3]^5-q^26*z[1]^2*z[2]^3*z[3]^8-q^25*z[1]^3*z[2]^4*z[3]^7+q^24*z[ 1]^4*z[2]^4*z[3]^7-q^32*z[1]*z[2]^4*z[3]+q^30*z[1]^2*z[2]^4*z[3]^2+q^29*z[1]*z[ 2]^3*z[3]^5+q^29*z[2]^2*z[3]^7-q^28*z[1]^3*z[2]^4*z[3]^3-q^28*z[1]^2*z[2]^4*z[3 ]^4-q^28*z[1]^2*z[2]^3*z[3]^5+q^27*z[1]^3*z[2]^4*z[3]^4-2*q^27*z[1]^2*z[2]^4*z[ 3]^5+2*q^27*z[1]^2*z[2]^3*z[3]^6-2*q^27*z[1]*z[2]^3*z[3]^7+q^27*z[1]*z[2]^2*z[3 ]^8+q^26*z[1]^4*z[2]^4*z[3]^4+3*q^26*z[1]^3*z[2]^4*z[3]^5+q^26*z[1]^2*z[2]^3*z[ 3]^7-q^25*z[1]^4*z[2]^4*z[3]^5-2*q^24*z[1]^3*z[2]^4*z[3]^7+q^23*z[1]^4*z[2]^4*z [3]^7-q^22*z[1]^4*z[2]^4*z[3]^8-q^31*z[1]*z[2]^4*z[3]+2*q^29*z[1]^2*z[2]^4*z[3] ^2-q^29*z[2]^3*z[3]^5+q^28*z[1]*z[2]^4*z[3]^4+3*q^28*z[1]*z[2]^3*z[3]^5+q^28*z[ 2]^2*z[3]^7-2*q^27*z[1]^3*z[2]^4*z[3]^3-2*q^27*z[1]^2*z[2]^4*z[3]^4-2*q^27*z[1] ^2*z[2]^3*z[3]^5-2*q^27*z[1]*z[2]^3*z[3]^6+2*q^26*z[1]^3*z[2]^4*z[3]^4-q^26*z[1 ]^2*z[2]^4*z[3]^5+5*q^26*z[1]^2*z[2]^3*z[3]^6-q^26*z[1]*z[2]^3*z[3]^7+q^26*z[1] *z[2]^2*z[3]^8+3*q^25*z[1]^3*z[2]^4*z[3]^5-q^25*z[1]^3*z[2]^3*z[3]^6-2*q^24*z[1 ]^4*z[2]^4*z[3]^5-q^24*z[1]^3*z[2]^4*z[3]^6+q^24*z[1]^2*z[2]^3*z[3]^8+q^23*z[1] ^4*z[2]^4*z[3]^6-q^23*z[1]^3*z[2]^4*z[3]^7+q^23*z[1]^3*z[2]^3*z[3]^8+q^22*z[1]^ 4*z[2]^4*z[3]^7+q^32*z[2]^4-q^30*z[1]*z[2]^4*z[3]+2*q^28*z[1]^2*z[2]^4*z[3]^2+q ^28*z[1]*z[2]^3*z[3]^4+q^28*z[2]^2*z[3]^6-q^27*z[1]^3*z[2]^4*z[3]^2-q^27*z[1]^2 *z[2]^4*z[3]^3-q^27*z[1]^2*z[2]^3*z[3]^4+2*q^27*z[1]*z[2]^3*z[3]^5-q^27*z[1]*z[ 2]^2*z[3]^6+q^27*z[2]^2*z[3]^7-2*q^26*z[1]^3*z[2]^4*z[3]^3-2*q^26*z[1]^2*z[2]^4 *z[3]^4-2*q^26*z[1]^2*z[2]^3*z[3]^5-2*q^26*z[1]*z[2]^3*z[3]^6+2*q^26*z[1]*z[2]^ 2*z[3]^7+q^25*z[1]^4*z[2]^4*z[3]^3+4*q^25*z[1]^3*z[2]^4*z[3]^4-q^25*z[1]^2*z[2] ^4*z[3]^5+6*q^25*z[1]^2*z[2]^3*z[3]^6-q^25*z[1]*z[2]^3*z[3]^7+q^25*z[1]*z[2]^2* z[3]^8+3*q^24*z[1]^3*z[2]^4*z[3]^5-q^24*z[1]^3*z[2]^3*z[3]^6+q^24*z[1]^2*z[2]^3 *z[3]^7-3*q^23*z[1]^4*z[2]^4*z[3]^5-2*q^23*z[1]^3*z[2]^4*z[3]^6-q^23*z[1]^3*z[2 ]^3*z[3]^7+2*q^22*z[1]^4*z[2]^4*z[3]^6+2*q^22*z[1]^3*z[2]^3*z[3]^8-q^29*z[1]*z[ 2]^4*z[3]+q^28*z[1]^2*z[2]^4*z[3]-q^28*z[2]^3*z[3]^4-q^28*z[2]^2*z[3]^5+3*q^27* z[1]^2*z[2]^4*z[3]^2+q^27*z[1]*z[2]^4*z[3]^3+3*q^27*z[1]*z[2]^3*z[3]^4+2*q^27*z [2]^2*z[3]^6-2*q^26*z[1]^3*z[2]^4*z[3]^2-2*q^26*z[1]^2*z[2]^4*z[3]^3-3*q^26*z[1 ]^2*z[2]^3*z[3]^4-3*q^26*z[1]*z[2]^2*z[3]^6-2*q^25*z[1]^3*z[2]^4*z[3]^3+q^25*z[ 1]^3*z[2]^3*z[3]^4-2*q^25*z[1]^2*z[2]^4*z[3]^4+q^25*z[1]^2*z[2]^3*z[3]^5-q^25*z [1]*z[2]^3*z[3]^6+3*q^25*z[1]*z[2]^2*z[3]^7+q^24*z[1]^4*z[2]^4*z[3]^3+5*q^24*z[ 1]^3*z[2]^4*z[3]^4-q^24*z[1]^3*z[2]^3*z[3]^5+6*q^24*z[1]^2*z[2]^3*z[3]^6-q^24*z [1]^2*z[2]^2*z[3]^7-q^24*z[1]*z[2]^3*z[3]^7-q^23*z[1]^4*z[2]^4*z[3]^4+2*q^23*z[ 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2]*z[3]^5+2*q^10*z[1]^2*z[3]^6+q^9*z[1]^4*z[2]^3*z[3]^2-2*q^9*z[1]^4*z[2]^2*z[3 ]^3+3*q^9*z[1]^3*z[2]^2*z[3]^4-q^9*z[1]^3*z[2]*z[3]^5+q^9*z[1]^2*z[2]*z[3]^6+q^ 8*z[1]^4*z[2]^3*z[3]^3-2*q^8*z[1]^4*z[2]^2*z[3]^4-q^8*z[1]^3*z[2]*z[3]^6-q^16*z [2]-q^15*z[1]*z[2]+q^15*z[3]^2-q^14*z[1]*z[2]*z[3]+q^14*z[2]*z[3]^2-3*q^14*z[3] ^3-4*q^13*z[1]^2*z[2]^2+q^13*z[1]^2*z[2]*z[3]-7*q^13*z[1]*z[2]*z[3]^2+2*q^13*z[ 1]*z[3]^3+q^13*z[3]^4-q^12*z[1]^3*z[2]^2+7*q^12*z[1]^2*z[2]*z[3]^2+4*q^12*z[1]* z[2]*z[3]^3+2*q^12*z[1]*z[3]^4+q^12*z[3]^5+q^11*z[1]^3*z[2]^3-q^11*z[1]^3*z[2]^ 2*z[3]+2*q^11*z[1]^2*z[2]^2*z[3]^2-9*q^11*z[1]^2*z[2]*z[3]^3-q^11*z[1]^2*z[3]^4 +q^11*z[1]*z[2]*z[3]^4-3*q^11*z[1]*z[3]^5+3*q^10*z[1]^4*z[2]^2*z[3]+q^10*z[1]^3 *z[2]^3*z[3]-5*q^10*z[1]^3*z[2]^2*z[3]^2+3*q^10*z[1]^3*z[2]*z[3]^3-4*q^10*z[1]^ 2*z[2]*z[3]^4+q^10*z[1]^2*z[3]^5-3*q^9*z[1]^4*z[2]^3*z[3]+2*q^9*z[1]^4*z[2]^2*z [3]^2+2*q^9*z[1]^3*z[2]*z[3]^4+q^9*z[1]^2*z[2]*z[3]^5+q^9*z[1]^2*z[3]^6+q^8*z[1 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z[2]*z[3]-2*q^12*z[3]^3-2*q^11*z[1]^2*z[2]^2+4*q^11*z[1]^2*z[2]*z[3]+4*q^11*z[1 ]*z[3]^3+q^11*z[3]^4-2*q^10*z[1]^3*z[2]^2-2*q^10*z[1]^3*z[2]*z[3]+q^10*z[1]^2*z [2]*z[3]^2-q^10*z[1]^2*z[3]^3+q^10*z[1]*z[2]*z[3]^3-q^10*z[1]*z[3]^4+3*q^9*z[1] ^3*z[2]*z[3]^2-6*q^9*z[1]^2*z[2]*z[3]^3-q^9*z[1]*z[3]^5-q^8*z[1]^4*z[2]^3+3*q^8 *z[1]^4*z[2]^2*z[3]-4*q^8*z[1]^3*z[2]^2*z[3]^2+3*q^8*z[1]^3*z[2]*z[3]^3+q^8*z[1 ]^2*z[3]^5-q^7*z[1]^4*z[2]^3*z[3]+q^7*z[1]^4*z[2]^2*z[3]^2+q^7*z[1]^3*z[2]^2*z[ 3]^3+q^7*z[1]^2*z[3]^6-2*q^6*z[1]^4*z[2]^2*z[3]^3-q^6*z[1]^3*z[2]*z[3]^5-q^6*z[ 1]^3*z[3]^6+q^5*z[1]^4*z[2]*z[3]^5+q^13*z[3]+2*q^12*z[1]*z[2]-q^12*z[3]^2+2*q^ 11*z[1]^2*z[2]-3*q^11*z[1]*z[2]*z[3]+q^11*z[1]*z[3]^2-q^11*z[3]^3-q^10*z[1]^2*z [2]^2+4*q^10*z[1]^2*z[2]*z[3]+3*q^10*z[1]*z[3]^3+q^10*z[3]^4-q^9*z[1]^3*z[2]^2-\ 2*q^9*z[1]^3*z[2]*z[3]-q^9*z[1]^2*z[3]^3-2*q^9*z[1]*z[3]^4-q^8*z[1]^4*z[2]*z[3] -q^8*z[1]^3*z[2]^2*z[3]+3*q^8*z[1]^3*z[2]*z[3]^2-4*q^8*z[1]^2*z[2]*z[3]^3+q^8*z [1]^2*z[3]^4-q^8*z[1]*z[3]^5-q^7*z[1]^4*z[2]^3+3*q^7*z[1]^4*z[2]^2*z[3]-2*q^7*z [1]^3*z[2]^2*z[3]^2+3*q^7*z[1]^3*z[2]*z[3]^3+q^7*z[1]^2*z[2]*z[3]^4+q^7*z[1]^2* z[3]^5-q^6*z[1]^4*z[2]^2*z[3]^2-q^6*z[1]^3*z[2]*z[3]^4-q^5*z[1]^4*z[2]^2*z[3]^3 +q^12*z[3]+q^11*z[1]*z[2]-q^11*z[1]*z[3]-q^11*z[3]^2+3*q^10*z[1]^2*z[2]-q^10*z[ 1]*z[2]*z[3]+3*q^10*z[1]*z[3]^2+2*q^9*z[1]^2*z[2]*z[3]-q^9*z[1]^2*z[3]^2+q^9*z[ 1]*z[3]^3+q^8*z[1]^3*z[2]^2-q^8*z[1]^3*z[2]*z[3]-q^8*z[1]^2*z[3]^3-q^8*z[1]*z[3 ]^4+q^7*z[1]^4*z[2]^2-q^7*z[1]^4*z[2]*z[3]-q^7*z[1]^3*z[2]^2*z[3]+3*q^7*z[1]^3* z[2]*z[3]^2-2*q^7*z[1]^2*z[2]*z[3]^3+q^7*z[1]^2*z[3]^4-q^6*z[1]^4*z[2]^3+3*q^6* z[1]^4*z[2]^2*z[3]+2*q^6*z[1]^3*z[2]*z[3]^3+q^6*z[1]^2*z[3]^5-q^5*z[1]^4*z[2]^2 *z[3]^2-q^5*z[1]^3*z[2]*z[3]^4-q^5*z[1]^3*z[3]^5+q^4*z[1]^4*z[2]*z[3]^4+q^11*z[ 3]-q^10*z[1]*z[3]-q^10*z[3]^2+3*q^9*z[1]^2*z[2]+3*q^9*z[1]*z[3]^2+q^8*z[1]^3*z[ 2]+2*q^8*z[1]^2*z[2]*z[3]-q^8*z[1]^2*z[3]^2+q^7*z[1]^3*z[2]^2-q^7*z[1]^3*z[2]*z [3]-q^7*z[1]^2*z[2]*z[3]^2-q^7*z[1]*z[3]^4+q^6*z[1]^4*z[2]^2-q^6*z[1]^4*z[2]*z[ 3]-q^6*z[1]^3*z[2]^2*z[3]+4*q^6*z[1]^3*z[2]*z[3]^2+q^6*z[1]^2*z[3]^4+2*q^5*z[1] ^4*z[2]^2*z[3]-q^4*z[1]^4*z[2]^2*z[3]^2-q^10*z[1]+q^8*z[1]^2*z[2]-q^8*z[1]^2*z[ 3]+2*q^8*z[1]*z[3]^2+2*q^7*z[1]^2*z[2]*z[3]-q^7*z[1]^2*z[3]^2+q^6*z[1]^3*z[2]^2 -q^6*z[1]^3*z[2]*z[3]-q^6*z[1]^2*z[2]*z[3]^2+2*q^5*z[1]^4*z[2]^2-q^5*z[1]^4*z[2 ]*z[3]+4*q^5*z[1]^3*z[2]*z[3]^2+q^5*z[1]^2*z[3]^4+q^4*z[1]^4*z[2]^2*z[3]-q^4*z[ 1]^3*z[2]*z[3]^3-q^4*z[1]^3*z[3]^4+q^3*z[1]^4*z[2]*z[3]^3-q^9*z[1]+q^8*z[1]*z[3 ]-q^7*z[1]^2*z[3]+q^7*z[1]*z[3]^2-q^6*z[1]^3*z[2]+q^6*z[1]^2*z[2]*z[3]-q^6*z[1] ^2*z[3]^2-q^6*z[1]*z[3]^3+q^5*z[1]^2*z[3]^3+q^4*z[1]^4*z[2]^2-q^4*z[1]^4*z[2]*z [3]+2*q^4*z[1]^3*z[2]*z[3]^2-q^8*z[1]-q^7*z[1]^2-q^6*z[1]^2*z[3]+q^6*z[1]*z[3]^ 2-2*q^5*z[1]^3*z[2]-q^5*z[1]^2*z[3]^2-q^4*z[1]^4*z[2]+q^4*z[1]^3*z[2]*z[3]+q^4* z[1]^2*z[3]^3+q^3*z[1]^4*z[2]^2-q^3*z[1]^4*z[2]*z[3]-q^3*z[1]^3*z[3]^3+q^2*z[1] ^4*z[2]*z[3]^2-q^5*z[1]^2*z[3]-2*q^4*z[1]^3*z[2]-q^3*z[1]^4*z[2]+q^3*z[1]^3*z[2 ]*z[3]-q^2*z[1]^4*z[2]*z[3]-2*q^4*z[1]^2*z[3]-q^3*z[1]^3*z[2]+q^3*z[1]^2*z[3]^2 -q^2*z[1]^4*z[2]-q^2*z[1]^3*z[3]^2+q^4*z[1]^2+q^3*z[1]^3-q^3*z[1]^2*z[3]-q*z[1] ^4*z[2]+q^2*z[1]^3-q*z[1]^3*z[3]+q*z[1]^3+z[1]^4)*(-1+z[1])*(q^3-z[1])*(q^2-z[1 ])*(-z[1]+q)/(q^4*z[2]-1)/(q^7*z[2]*z[3]-1)/(q^8*z[2]*z[3]-1)/(q^2*z[2]-1)/(q*z [2]-1)/(q^3*z[2]-1)/(q^3*z[2]*z[3]-1)/(q^5*z[2]*z[3]-1)/(q^2*z[2]*z[3]-1)/(q^4* z[2]*z[3]-1)/(q*z[2]*z[3]-1)/(q^6*z[2]*z[3]-1) 8 x[1] For the coeff., ----------- 4 4 x[2] x[3] we have: 27 2 6 4 25 3 6 5 28 6 3 (-q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 26 2 6 4 24 3 6 5 22 4 6 6 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 27 6 3 26 2 6 3 25 2 6 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 24 3 6 4 23 3 6 5 28 6 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 27 6 2 26 6 3 25 2 6 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 24 2 6 4 23 3 6 4 23 3 4 6 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 22 3 6 5 21 4 5 6 26 6 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 25 6 3 24 2 6 3 24 2 5 4 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 24 2 3 6 23 2 6 4 22 3 6 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 22 3 5 5 22 3 4 6 20 4 5 6 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 27 6 25 6 2 25 5 3 + q z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 24 2 6 2 23 2 6 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 23 2 5 4 23 2 3 6 22 3 5 4 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 21 3 5 5 21 3 4 6 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 20 4 6 4 20 4 5 5 19 4 6 5 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 26 6 25 6 24 6 2 + q z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 24 5 3 24 2 6 22 2 6 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 22 2 5 4 22 2 3 6 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 21 3 6 3 21 3 5 4 21 3 3 6 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 20 3 5 5 20 3 4 6 19 4 6 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 19 4 5 5 18 4 6 5 25 5 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] z[3] 24 6 24 5 2 23 6 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 23 5 3 22 2 6 2 22 2 5 3 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 22 2 3 5 22 2 2 6 21 2 5 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 21 2 3 6 20 3 6 3 + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 20 3 5 4 20 3 4 5 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 19 3 6 4 19 3 5 5 19 3 4 6 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 4 6 4 18 4 5 5 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 18 4 4 6 25 6 24 5 2 + q z[1] z[2] z[3] - q z[2] - q z[2] z[3] 23 5 2 23 2 5 22 5 3 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 21 2 6 2 21 2 5 3 + 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 21 2 4 4 21 2 3 5 21 2 2 6 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 20 3 6 2 20 3 5 3 20 2 5 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 19 3 6 3 19 3 5 4 - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 19 3 4 5 18 4 6 3 18 4 4 5 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 3 5 5 17 4 6 4 17 4 5 5 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 4 4 6 24 5 22 6 + 2 q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 22 5 2 22 4 3 22 2 5 - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 22 6 21 2 6 21 2 4 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 21 5 3 20 2 6 2 20 2 5 3 + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 20 2 4 4 20 2 3 5 - 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 19 3 6 2 19 3 5 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 19 3 4 4 19 3 3 5 19 2 5 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 3 6 3 18 3 5 4 - 4 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 18 3 4 5 18 3 3 6 17 4 4 5 - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 4 3 6 16 4 6 4 16 4 5 5 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 4 4 6 23 5 23 5 + q z[1] z[2] z[3] + 2 q z[2] z[3] + q z[2] z[3] 22 5 22 4 2 21 6 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 21 5 2 21 4 3 21 2 5 - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 20 2 6 20 2 5 2 20 2 4 3 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 20 2 2 5 19 2 6 2 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 19 2 5 3 19 2 4 4 + 3 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 19 2 3 5 18 3 6 2 + 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 18 3 5 3 18 3 4 4 - 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 18 3 3 5 18 3 2 6 17 3 6 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 17 3 5 4 17 3 4 5 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 17 3 3 6 16 4 5 4 16 4 4 5 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 4 3 6 15 4 5 5 15 4 4 6 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 22 5 22 4 2 21 6 + 2 q z[2] z[3] - q z[2] z[3] + q z[1] z[2] 21 5 21 4 2 21 5 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 20 6 20 5 2 20 4 3 - q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 20 2 5 19 2 6 19 2 5 2 - 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 19 2 4 3 19 2 3 4 - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 2 6 2 18 2 5 3 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 18 2 4 4 18 2 3 5 - 4 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 17 3 6 2 17 3 5 3 + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 17 3 4 4 17 3 3 5 + 6 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 17 3 2 6 16 4 5 3 16 4 4 4 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 3 6 3 16 3 5 4 16 3 4 5 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 3 3 6 15 4 6 3 15 4 5 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 15 4 3 6 22 5 22 4 21 5 - q z[1] z[2] z[3] - q z[2] - q z[2] z[3] + q z[2] z[3] 21 4 2 20 6 20 5 - q z[2] z[3] + q z[1] z[2] + q z[1] z[2] z[3] 20 4 2 20 2 4 20 5 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 19 2 4 2 19 5 2 19 4 3 + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 19 2 5 18 2 6 18 2 5 2 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 18 2 4 3 18 2 3 4 - 5 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 18 2 2 5 18 2 6 17 3 3 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 2 6 2 17 2 5 3 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 17 2 4 4 17 2 3 5 - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 16 3 5 3 16 3 4 4 - 3 q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] 16 3 3 5 16 3 2 6 - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 15 4 6 2 15 4 5 3 15 4 4 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 4 3 5 15 3 6 3 15 3 5 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 4 6 3 14 4 5 4 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 14 4 4 5 21 5 21 5 20 4 + q z[1] z[2] z[3] - q z[2] - q z[3] - q z[1] z[2] z[3] 20 5 20 4 2 19 6 19 5 + q z[2] z[3] - q z[2] z[3] + q z[1] z[2] + q z[1] z[2] z[3] 19 3 3 19 2 4 19 5 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 2 5 18 2 4 2 18 2 3 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 2 2 4 18 5 2 18 4 3 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 17 2 6 17 2 5 2 17 2 4 3 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 17 2 3 4 17 2 6 16 3 6 + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 3 5 2 16 3 4 3 16 3 3 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 16 3 2 5 16 2 5 3 16 2 4 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 16 2 3 5 15 3 6 2 15 3 5 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 15 3 4 4 15 3 3 5 + 6 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 15 3 2 6 14 4 6 2 14 4 5 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 14 4 4 4 14 4 3 5 13 4 6 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 13 4 5 4 20 5 20 4 20 4 - q z[1] z[2] z[3] - q z[2] + q z[2] z[3] + q z[2] z[3] 19 4 19 3 2 18 6 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] 18 4 2 18 3 3 18 2 4 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 18 5 17 2 5 17 2 4 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 17 2 3 3 17 2 2 4 17 2 5 - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 5 2 17 4 3 16 2 5 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 16 2 4 3 16 2 3 4 16 2 6 - 5 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 3 6 15 3 5 2 15 3 4 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 15 3 3 4 15 3 2 5 15 2 5 3 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 2 4 4 14 3 6 2 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 14 3 5 3 14 3 4 4 - 3 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 14 3 3 5 14 3 2 6 - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 4 6 2 13 4 5 3 13 4 4 4 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 4 3 5 13 4 2 6 12 4 6 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 4 5 4 12 4 3 6 20 4 19 5 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] - q z[2] 19 4 19 3 2 19 4 18 5 + 2 q z[2] z[3] - q z[2] z[3] + q z[2] z[3] + q z[1] z[2] 18 4 18 3 2 17 5 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 4 2 17 3 3 17 2 4 - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 17 5 16 2 6 16 2 5 + q z[1] z[2] z[3] - q z[1] z[2] - 2 q z[1] z[2] z[3] 16 2 4 2 16 2 3 3 + 2 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 16 2 2 4 16 2 5 15 3 4 2 + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 3 3 3 15 2 5 2 + q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 15 2 4 3 15 2 3 4 - 4 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 15 2 2 5 14 3 6 14 3 5 2 + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 3 4 3 14 3 3 4 + 4 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 14 3 2 5 13 3 6 2 13 3 5 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 13 3 4 4 13 3 3 5 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 4 6 2 12 4 4 4 12 4 3 5 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 4 2 6 11 4 6 3 19 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 18 5 18 4 18 3 2 18 4 - q z[2] + 2 q z[2] z[3] - q z[2] z[3] + q z[2] z[3] 17 5 17 4 17 3 2 + q z[1] z[2] - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 17 2 3 17 5 16 2 4 - q z[1] z[2] z[3] + q z[1] z[3] + q z[1] z[2] z[3] 16 5 16 4 2 16 3 3 - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 16 2 4 16 5 15 2 6 - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] 15 2 5 15 2 4 2 - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 15 2 3 3 15 2 2 4 - 9 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 15 2 5 14 3 4 2 - 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 14 3 3 3 14 3 2 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 2 5 2 14 2 4 3 + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 14 2 3 4 13 3 6 13 3 5 2 + 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 3 4 3 13 3 3 4 + 6 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 13 3 2 5 13 3 6 12 4 5 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 4 4 3 12 3 6 2 12 3 5 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 3 4 4 12 3 3 5 11 4 6 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 4 5 3 11 4 3 5 11 4 2 6 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 3 18 4 17 3 17 4 - q z[2] z[3] - q z[3] - q z[1] z[2] z[3] + 2 q z[2] z[3] 17 3 2 16 5 16 4 - q z[2] z[3] + 2 q z[1] z[2] - q z[1] z[2] z[3] 16 3 2 16 2 3 16 4 + 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 5 15 2 4 15 2 3 2 + q z[1] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 2 2 3 15 4 2 15 3 3 + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 15 2 4 14 2 6 14 2 5 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] - 4 q z[1] z[2] z[3] 14 2 4 2 14 2 3 3 + 2 q z[1] z[2] z[3] - 10 q z[1] z[2] z[3] 14 2 2 4 14 2 5 + 6 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 13 3 4 2 13 3 3 3 - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 13 3 2 4 13 2 5 2 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 13 2 4 3 13 2 3 4 12 3 6 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 12 3 5 2 12 3 4 3 12 3 3 4 - q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 3 2 5 12 3 6 11 4 5 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 11 4 4 3 11 3 5 3 10 4 5 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 4 2 6 17 4 17 3 17 3 - q z[1] z[2] z[3] - q z[2] - q z[2] z[3] + q z[2] z[3] 17 4 16 4 16 3 16 2 2 - q z[3] - q z[1] z[2] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 3 16 4 16 3 2 - q z[1] z[2] z[3] + q z[2] z[3] - q z[2] z[3] 15 5 15 4 15 3 2 + 3 q z[1] z[2] - q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 15 2 3 15 4 15 5 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[3] 14 2 4 14 2 3 2 + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 14 2 2 3 14 4 2 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 14 3 3 14 2 4 13 2 6 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] 13 2 5 13 2 4 2 - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 13 2 3 3 13 2 2 4 - 9 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 13 2 5 12 3 5 12 3 4 2 - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 12 3 3 3 12 3 2 4 12 3 5 + 4 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 2 5 2 11 3 6 11 3 5 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 3 4 3 11 3 3 4 11 3 6 + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 4 6 10 4 5 2 10 4 4 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 4 2 5 9 4 5 3 17 3 16 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] - q z[2] 16 2 2 16 3 16 4 15 4 - q z[2] z[3] + q z[2] z[3] - q z[3] - q z[1] z[2] 15 3 15 2 2 15 3 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 14 5 14 4 14 3 2 + 3 q z[1] z[2] - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 14 2 3 14 4 13 2 4 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 13 2 3 2 13 2 2 3 13 2 4 - 4 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 4 2 13 3 3 12 2 6 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] 12 2 5 12 2 4 2 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 12 2 3 3 12 2 2 4 - 6 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 12 2 5 11 3 5 11 3 4 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 11 3 3 3 11 3 2 4 11 3 5 + 3 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 3 6 10 3 5 2 10 3 4 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 9 4 6 9 4 5 2 9 4 4 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 4 2 5 8 4 6 2 16 3 16 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] - q z[2] z[3] 16 3 15 4 15 3 15 2 2 + q z[3] - 2 q z[2] + q z[2] z[3] - q z[2] z[3] 15 3 15 4 14 4 14 3 + 2 q z[2] z[3] - q z[3] - 2 q z[1] z[2] - 3 q z[1] z[2] z[3] 14 2 2 14 3 14 4 + 4 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + q z[1] z[3] 13 2 3 13 2 2 2 13 5 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] 13 4 13 3 2 13 2 3 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 13 4 12 2 4 12 2 3 2 + q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 12 2 2 3 12 2 5 11 3 4 + 4 q z[1] z[2] z[3] - q z[1] z[3] - q z[1] z[2] z[3] 11 3 3 2 11 2 5 11 2 4 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 11 2 3 3 11 2 2 4 11 2 5 - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 3 6 10 3 4 2 10 3 3 3 + q z[1] z[2] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 10 3 2 4 10 3 5 9 3 5 2 - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 3 4 3 8 4 6 8 4 5 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 4 2 5 15 3 15 2 14 4 + q z[1] z[2] z[3] + 2 q z[2] - q z[2] z[3] - q z[2] 14 3 14 2 2 14 3 13 4 + 2 q z[2] z[3] - q z[2] z[3] + q z[2] z[3] - q z[1] z[2] 13 3 13 2 2 13 3 - 3 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 13 4 12 2 3 12 2 2 2 + q z[1] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 2 3 12 5 12 4 + q z[1] z[2] z[3] + q z[1] z[2] - q z[1] z[2] z[3] 12 3 2 12 2 3 12 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 2 5 11 2 4 11 2 3 2 - q z[1] z[2] + 4 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 11 2 2 3 11 2 5 10 3 4 + 4 q z[1] z[2] z[3] - q z[1] z[3] - 2 q z[1] z[2] z[3] 10 3 3 2 10 2 5 10 2 4 2 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 2 3 3 10 2 2 4 9 3 6 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] 9 3 5 9 3 3 3 9 3 2 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 9 3 5 8 4 5 8 4 4 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 3 5 2 7 4 6 7 4 6 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 3 14 2 14 2 13 3 + 2 q z[2] - 2 q z[2] z[3] + q z[2] z[3] - q z[1] z[2] 13 2 13 4 13 3 13 2 2 + q z[1] z[2] z[3] - q z[2] + q z[2] z[3] - q z[2] z[3] 13 3 12 3 12 2 2 + q z[2] z[3] - 3 q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] 12 3 12 4 11 2 4 - 4 q z[1] z[2] z[3] + 2 q z[1] z[3] + q z[1] z[2] 11 2 3 11 2 2 2 + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 11 2 3 11 2 3 10 2 5 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] 10 2 4 10 2 3 2 + 3 q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 10 2 2 3 10 2 4 10 2 5 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[3] 9 3 4 9 3 3 2 9 3 4 - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 2 4 2 8 3 6 8 3 5 + q z[1] z[2] z[3] + q z[1] z[2] + q z[1] z[2] z[3] 8 3 4 2 8 3 2 4 8 3 5 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 4 5 7 4 4 2 6 4 6 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 4 5 2 13 3 13 2 13 3 - q z[1] z[2] z[3] + q z[2] - 2 q z[2] z[3] - q z[3] 12 3 12 2 12 2 - q z[1] z[2] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 3 12 3 12 2 2 11 4 - q z[1] z[3] + q z[2] z[3] - q z[2] z[3] + q z[1] z[2] 11 3 11 2 2 11 3 - 3 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 11 4 10 2 4 10 2 3 + 2 q z[1] z[3] + 2 q z[1] z[2] + 2 q z[1] z[2] z[3] 10 2 2 2 10 2 3 9 2 5 - 4 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - 3 q z[1] z[2] 9 2 4 9 2 3 2 9 2 2 3 + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 3 5 8 3 4 8 3 3 2 - q z[1] z[2] - 4 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 8 3 4 7 3 6 7 3 5 - 2 q z[1] z[2] z[3] + q z[1] z[2] + q z[1] z[2] z[3] 7 3 4 2 7 3 5 6 4 5 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 6 4 4 2 13 13 2 12 2 - q z[1] z[2] z[3] - q z[2] z[3] + q z[3] - 2 q z[2] z[3] 12 2 12 3 11 3 11 2 + q z[2] z[3] - q z[3] - 3 q z[1] z[2] + 2 q z[1] z[2] z[3] 11 2 11 3 10 4 - 2 q z[1] z[2] z[3] - q z[1] z[3] + 2 q z[1] z[2] 10 3 10 2 2 10 3 - 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 4 9 2 4 9 2 3 + q z[1] z[3] + 3 q z[1] z[2] + 3 q z[1] z[2] z[3] 9 2 2 2 9 2 3 8 2 5 - 4 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] 8 2 4 8 2 3 2 8 2 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 3 5 7 3 4 7 3 3 2 - q z[1] z[2] - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 7 3 4 6 3 5 6 3 4 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 4 5 5 4 5 12 2 12 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] - q z[2] z[3] 12 2 11 2 11 3 10 3 + q z[3] + q z[2] z[3] - q z[3] - 4 q z[1] z[2] 10 2 10 2 10 3 + 3 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] - q z[1] z[3] 9 2 2 9 4 9 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] - q z[1] z[2] z[3] 9 2 2 9 3 8 2 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] 8 2 3 8 2 2 2 8 2 3 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 7 3 3 7 2 5 7 2 3 2 + q z[1] z[2] z[3] - q z[1] z[2] - q z[1] z[2] z[3] 6 3 5 6 3 4 6 3 3 2 - q z[1] z[2] - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 3 4 6 3 5 4 4 5 11 2 - q z[1] z[2] z[3] + q z[1] z[3] + q z[1] z[2] z[3] + 2 q z[2] 11 11 2 10 10 3 - q z[2] z[3] + 2 q z[3] + q z[1] z[2] z[3] - q z[2] 10 2 9 3 9 2 + q z[2] z[3] - 4 q z[1] z[2] + 2 q z[1] z[2] z[3] 9 2 8 2 2 8 4 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] 8 3 7 2 4 7 2 3 - q z[1] z[2] z[3] + 3 q z[1] z[2] + 2 q z[1] z[2] z[3] 7 2 2 2 7 2 3 7 2 4 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[3] 6 3 3 5 3 4 5 3 4 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 4 4 4 3 4 6 10 2 10 - q z[1] z[2] z[3] - q z[1] z[2] + 2 q z[2] - 2 q z[2] z[3] 10 2 9 2 9 9 2 + q z[3] + q z[1] z[2] + 2 q z[1] z[2] z[3] - q z[1] z[3] 8 3 8 2 8 2 - 3 q z[1] z[2] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 7 2 2 7 2 3 6 2 4 - 3 q z[1] z[2] z[3] + q z[1] z[3] + q z[1] z[2] 6 2 3 6 2 3 6 2 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[3] 5 3 4 5 3 3 4 3 5 - q z[1] z[2] + 2 q z[1] z[2] z[3] + q z[1] z[2] 4 3 4 3 4 4 10 9 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] + q z[2] 9 8 8 2 7 3 - 2 q z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[3] - 2 q z[1] z[2] 7 2 7 3 6 2 3 + q z[1] z[2] z[3] + q z[1] z[3] + q z[1] z[2] 6 2 2 6 2 3 4 3 4 - 3 q z[1] z[2] z[3] + q z[1] z[3] - q z[1] z[2] 4 3 3 4 3 4 3 3 5 2 4 5 + 2 q z[1] z[2] z[3] - q z[1] z[3] + q z[1] z[2] + q z[1] z[2] 9 8 2 8 7 - q z[2] + q z[2] - q z[2] z[3] + 2 q z[1] z[2] z[3] 7 2 6 2 5 2 3 - 2 q z[1] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] 5 2 2 5 2 3 4 2 4 - 2 q z[1] z[2] z[3] + q z[1] z[3] - q z[1] z[2] 3 3 4 3 3 3 4 5 8 - 2 q z[1] z[2] + q z[1] z[2] z[3] + q z[1] z[2] + q z[3] 6 2 6 6 2 5 2 2 - q z[1] z[2] + q z[1] z[2] z[3] - q z[1] z[3] - q z[1] z[2] 4 2 3 4 2 2 4 2 3 3 3 3 + 2 q z[1] z[2] - q z[1] z[2] z[3] + q z[1] z[3] + q z[1] z[2] 2 3 4 7 6 5 2 - 2 q z[1] z[2] + q z[3] + q z[1] z[2] - q z[1] z[2] 5 2 4 2 2 3 2 3 2 3 3 - q z[1] z[3] - q z[1] z[2] + 2 q z[1] z[2] + q z[1] z[2] 3 4 4 4 5 4 2 - q z[1] z[2] - z[1] z[2] + q z[1] z[2] - q z[1] z[2] 3 2 2 2 2 3 3 3 6 4 - 2 q z[1] z[2] + q z[1] z[2] + q z[1] z[2] - q + q z[1] z[2] 2 2 2 3 3 3 2 2 - q z[1] z[2] + z[1] z[2] + q z[1] z[2] - q z[1] z[2] ) (-1 + z[1]) 2 3 / 2 (q - z[1]) (q - z[1]) (-z[1] + q) / ((q z[2] - 1) (q z[2] - 1) / 4 5 7 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) 3 8 2 6 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) 2 (q z[3] - 1) (q z[3] - 1)) and in Maple input notation: (-q^27*z[1]^2*z[2]^6*z[3]^4+q^25*z[1]^3*z[2]^6*z[3]^5+q^28*z[1]*z[2]^6*z[3]^3-q ^26*z[1]^2*z[2]^6*z[3]^4+q^24*z[1]^3*z[2]^6*z[3]^5-q^22*z[1]^4*z[2]^6*z[3]^6+q^ 27*z[1]*z[2]^6*z[3]^3+q^26*z[1]^2*z[2]^6*z[3]^3-2*q^25*z[1]^2*z[2]^6*z[3]^4-q^ 24*z[1]^3*z[2]^6*z[3]^4+q^23*z[1]^3*z[2]^6*z[3]^5-q^28*z[2]^6*z[3]^2-q^27*z[1]* z[2]^6*z[3]^2+q^26*z[1]*z[2]^6*z[3]^3+2*q^25*z[1]^2*z[2]^6*z[3]^3-q^24*z[1]^2*z [2]^6*z[3]^4-q^23*z[1]^3*z[2]^6*z[3]^4-q^23*z[1]^3*z[2]^4*z[3]^6+q^22*z[1]^3*z[ 2]^6*z[3]^5+q^21*z[1]^4*z[2]^5*z[3]^6-2*q^26*z[1]*z[2]^6*z[3]^2+q^25*z[1]*z[2]^ 6*z[3]^3+2*q^24*z[1]^2*z[2]^6*z[3]^3-q^24*z[1]^2*z[2]^5*z[3]^4+q^24*z[1]^2*z[2] ^3*z[3]^6-q^23*z[1]^2*z[2]^6*z[3]^4-q^22*z[1]^3*z[2]^6*z[3]^4+q^22*z[1]^3*z[2]^ 5*z[3]^5-q^22*z[1]^3*z[2]^4*z[3]^6+q^20*z[1]^4*z[2]^5*z[3]^6+q^27*z[2]^6*z[3]-2 *q^25*z[1]*z[2]^6*z[3]^2+q^25*z[1]*z[2]^5*z[3]^3-q^24*z[1]^2*z[2]^6*z[3]^2+2*q^ 23*z[1]^2*z[2]^6*z[3]^3-2*q^23*z[1]^2*z[2]^5*z[3]^4+q^23*z[1]^2*z[2]^3*z[3]^6+q ^22*z[1]^3*z[2]^5*z[3]^4+2*q^21*z[1]^3*z[2]^5*z[3]^5-2*q^21*z[1]^3*z[2]^4*z[3]^ 6+q^20*z[1]^4*z[2]^6*z[3]^4-q^20*z[1]^4*z[2]^5*z[3]^5-q^19*z[1]^4*z[2]^6*z[3]^5 +q^26*z[2]^6*z[3]+q^25*z[1]*z[2]^6*z[3]-q^24*z[1]*z[2]^6*z[3]^2+2*q^24*z[1]*z[2 ]^5*z[3]^3-q^24*z[1]*z[2]^2*z[3]^6+q^22*z[1]^2*z[2]^6*z[3]^3-3*q^22*z[1]^2*z[2] ^5*z[3]^4+q^22*z[1]^2*z[2]^3*z[3]^6-2*q^21*z[1]^3*z[2]^6*z[3]^3+q^21*z[1]^3*z[2 ]^5*z[3]^4+q^21*z[1]^3*z[2]^3*z[3]^6+2*q^20*z[1]^3*z[2]^5*z[3]^5-q^20*z[1]^3*z[ 2]^4*z[3]^6+q^19*z[1]^4*z[2]^6*z[3]^4-2*q^19*z[1]^4*z[2]^5*z[3]^5-q^18*z[1]^4*z [2]^6*z[3]^5-q^25*z[2]^5*z[3]^2+q^24*z[1]*z[2]^6*z[3]-q^24*z[1]*z[2]^5*z[3]^2-q ^23*z[1]*z[2]^6*z[3]^2+2*q^23*z[1]*z[2]^5*z[3]^3+q^22*z[1]^2*z[2]^6*z[3]^2+q^22 *z[1]^2*z[2]^5*z[3]^3+q^22*z[1]^2*z[2]^3*z[3]^5-q^22*z[1]^2*z[2]^2*z[3]^6-3*q^ 21*z[1]^2*z[2]^5*z[3]^4+q^21*z[1]^2*z[2]^3*z[3]^6-3*q^20*z[1]^3*z[2]^6*z[3]^3+2 *q^20*z[1]^3*z[2]^5*z[3]^4-2*q^20*z[1]^3*z[2]^4*z[3]^5+q^19*z[1]^3*z[2]^6*z[3]^ 4+2*q^19*z[1]^3*z[2]^5*z[3]^5-q^19*z[1]^3*z[2]^4*z[3]^6+2*q^18*z[1]^4*z[2]^6*z[ 3]^4-2*q^18*z[1]^4*z[2]^5*z[3]^5+q^18*z[1]^4*z[2]^4*z[3]^6-q^25*z[2]^6-q^24*z[2 ]^5*z[3]^2-2*q^23*z[1]*z[2]^5*z[3]^2-q^23*z[1]*z[2]^2*z[3]^5+2*q^22*z[1]*z[2]^5 *z[3]^3+3*q^21*z[1]^2*z[2]^6*z[3]^2+2*q^21*z[1]^2*z[2]^5*z[3]^3-q^21*z[1]^2*z[2 ]^4*z[3]^4+2*q^21*z[1]^2*z[2]^3*z[3]^5-q^21*z[1]^2*z[2]^2*z[3]^6+q^20*z[1]^3*z[ 2]^6*z[3]^2-q^20*z[1]^3*z[2]^5*z[3]^3-2*q^20*z[1]^2*z[2]^5*z[3]^4-4*q^19*z[1]^3 *z[2]^6*z[3]^3+2*q^19*z[1]^3*z[2]^5*z[3]^4-2*q^19*z[1]^3*z[2]^4*z[3]^5-q^18*z[1 ]^4*z[2]^6*z[3]^3+q^18*z[1]^4*z[2]^4*z[3]^5+q^18*z[1]^3*z[2]^5*z[3]^5+2*q^17*z[ 1]^4*z[2]^6*z[3]^4-q^17*z[1]^4*z[2]^5*z[3]^5+2*q^17*z[1]^4*z[2]^4*z[3]^6+q^24*z [2]^5*z[3]-q^22*z[1]*z[2]^6*z[3]-4*q^22*z[1]*z[2]^5*z[3]^2+q^22*z[1]*z[2]^4*z[3 ]^3-q^22*z[1]*z[2]^2*z[3]^5+q^22*z[1]*z[2]*z[3]^6-q^21*z[1]^2*z[2]^6*z[3]-q^21* z[1]^2*z[2]^4*z[3]^3+q^21*z[1]*z[2]^5*z[3]^3+3*q^20*z[1]^2*z[2]^6*z[3]^2+2*q^20 *z[1]^2*z[2]^5*z[3]^3-2*q^20*z[1]^2*z[2]^4*z[3]^4+4*q^20*z[1]^2*z[2]^3*z[3]^5+2 *q^19*z[1]^3*z[2]^6*z[3]^2-q^19*z[1]^3*z[2]^5*z[3]^3+2*q^19*z[1]^3*z[2]^4*z[3]^ 4-q^19*z[1]^3*z[2]^3*z[3]^5-q^19*z[1]^2*z[2]^5*z[3]^4-4*q^18*z[1]^3*z[2]^6*z[3] 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*z[1]*z[2]^3*z[3]+4*q^10*z[1]*z[2]^2*z[3]^2-q^10*z[1]*z[2]*z[3]^3+q^10*z[1]*z[3 ]^4+3*q^9*z[1]^2*z[2]^4+3*q^9*z[1]^2*z[2]^3*z[3]-4*q^9*z[1]^2*z[2]^2*z[3]^2+4*q ^9*z[1]^2*z[2]*z[3]^3-2*q^8*z[1]^2*z[2]^5+q^8*z[1]^2*z[2]^4*z[3]-2*q^8*z[1]^2*z [2]^3*z[3]^2-q^8*z[1]^2*z[2]*z[3]^4-q^7*z[1]^3*z[2]^5-4*q^7*z[1]^3*z[2]^4*z[3]+ 2*q^7*z[1]^3*z[2]^3*z[3]^2-2*q^7*z[1]^3*z[2]*z[3]^4+q^6*z[1]^3*z[2]^5*z[3]+q^6* z[1]^3*z[2]^4*z[3]^2+2*q^5*z[1]^4*z[2]^5*z[3]+q^5*z[1]^4*z[2]*z[3]^5+q^12*z[2]^ 2-q^12*z[2]*z[3]+q^12*z[3]^2+q^11*z[2]*z[3]^2-q^11*z[3]^3-4*q^10*z[1]*z[2]^3+3* q^10*z[1]*z[2]^2*z[3]-3*q^10*z[1]*z[2]*z[3]^2-q^10*z[1]*z[3]^3-q^9*z[1]^2*z[2]^ 2*z[3]+2*q^9*z[1]*z[2]^4-q^9*z[1]*z[2]^3*z[3]+2*q^9*z[1]*z[2]^2*z[3]^2-q^9*z[1] *z[2]*z[3]^3+3*q^8*z[1]^2*z[2]^4+2*q^8*z[1]^2*z[2]^3*z[3]-2*q^8*z[1]^2*z[2]^2*z [3]^2+4*q^8*z[1]^2*z[2]*z[3]^3+q^7*z[1]^3*z[2]^3*z[3]-q^7*z[1]^2*z[2]^5-q^7*z[1 ]^2*z[2]^3*z[3]^2-q^6*z[1]^3*z[2]^5-4*q^6*z[1]^3*z[2]^4*z[3]+q^6*z[1]^3*z[2]^3* z[3]^2-q^6*z[1]^3*z[2]*z[3]^4+q^6*z[1]^3*z[3]^5+q^4*z[1]^4*z[2]^5*z[3]+2*q^11*z [2]^2-q^11*z[2]*z[3]+2*q^11*z[3]^2+q^10*z[1]*z[2]*z[3]-q^10*z[2]^3+q^10*z[2]*z[ 3]^2-4*q^9*z[1]*z[2]^3+2*q^9*z[1]*z[2]^2*z[3]-2*q^9*z[1]*z[2]*z[3]^2-2*q^8*z[1] ^2*z[2]^2*z[3]+q^8*z[1]*z[2]^4-q^8*z[1]*z[2]^3*z[3]+3*q^7*z[1]^2*z[2]^4+2*q^7*z [1]^2*z[2]^3*z[3]-q^7*z[1]^2*z[2]^2*z[3]^2+2*q^7*z[1]^2*z[2]*z[3]^3-q^7*z[1]^2* z[3]^4+2*q^6*z[1]^3*z[2]^3*z[3]-2*q^5*z[1]^3*z[2]^4*z[3]-q^5*z[1]^3*z[2]*z[3]^4 -q^4*z[1]^4*z[2]^4*z[3]-q^3*z[1]^4*z[2]^6+2*q^10*z[2]^2-2*q^10*z[2]*z[3]+q^10*z [3]^2+q^9*z[1]*z[2]^2+2*q^9*z[1]*z[2]*z[3]-q^9*z[1]*z[3]^2-3*q^8*z[1]*z[2]^3+2* q^8*z[1]*z[2]^2*z[3]-2*q^8*z[1]*z[2]*z[3]^2-3*q^7*z[1]^2*z[2]^2*z[3]+q^7*z[1]^2 *z[3]^3+q^6*z[1]^2*z[2]^4+q^6*z[1]^2*z[2]^3*z[3]+q^6*z[1]^2*z[2]*z[3]^3-q^6*z[1 ]^2*z[3]^4-q^5*z[1]^3*z[2]^4+2*q^5*z[1]^3*z[2]^3*z[3]+q^4*z[1]^3*z[2]^5-q^4*z[1 ]^3*z[2]^4*z[3]-q^3*z[1]^4*z[2]^4*z[3]-q^10*z[2]+q^9*z[2]^2-2*q^9*z[2]*z[3]+2*q ^8*z[1]*z[2]*z[3]-q^8*z[1]*z[3]^2-2*q^7*z[1]*z[2]^3+q^7*z[1]*z[2]^2*z[3]+q^7*z[ 1]*z[3]^3+q^6*z[1]^2*z[2]^3-3*q^6*z[1]^2*z[2]^2*z[3]+q^6*z[1]^2*z[3]^3-q^4*z[1] ^3*z[2]^4+2*q^4*z[1]^3*z[2]^3*z[3]-q^4*z[1]^3*z[3]^4+q^3*z[1]^3*z[2]^5+q^2*z[1] ^4*z[2]^5-q^9*z[2]+q^8*z[2]^2-q^8*z[2]*z[3]+2*q^7*z[1]*z[2]*z[3]-2*q^7*z[1]*z[3 ]^2+q^6*z[1]*z[2]^2*z[3]+2*q^5*z[1]^2*z[2]^3-2*q^5*z[1]^2*z[2]^2*z[3]+q^5*z[1]^ 2*z[3]^3-q^4*z[1]^2*z[2]^4-2*q^3*z[1]^3*z[2]^4+q^3*z[1]^3*z[2]^3*z[3]+q*z[1]^4* z[2]^5+q^8*z[3]-q^6*z[1]*z[2]^2+q^6*z[1]*z[2]*z[3]-q^6*z[1]*z[3]^2-q^5*z[1]^2*z [2]^2+2*q^4*z[1]^2*z[2]^3-q^4*z[1]^2*z[2]^2*z[3]+q^4*z[1]^2*z[3]^3+q^3*z[1]^3*z [2]^3-2*q^2*z[1]^3*z[2]^4+q^7*z[3]+q^6*z[1]*z[2]-q^5*z[1]*z[2]^2-q^5*z[1]*z[3]^ 2-q^4*z[1]^2*z[2]^2+2*q^3*z[1]^2*z[2]^3+q^2*z[1]^3*z[2]^3-q*z[1]^3*z[2]^4-z[1]^ 4*z[2]^4+q^5*z[1]*z[2]-q^4*z[1]*z[2]^2-2*q^3*z[1]^2*z[2]^2+q^2*z[1]^2*z[2]^3+q* z[1]^3*z[2]^3-q^6+q^4*z[1]*z[2]-q^2*z[1]^2*z[2]^2+z[1]^3*z[2]^3+q^3*z[1]*z[2]-q *z[1]^2*z[2]^2)*(-1+z[1])*(q^2-z[1])*(q^3-z[1])*(-z[1]+q)/(q^2*z[2]-1)/(q*z[2]-\ 1)/(q*z[2]*z[3]-1)/(q^4*z[2]*z[3]-1)/(q^5*z[2]*z[3]-1)/(q^7*z[2]*z[3]-1)/(q^3*z [2]*z[3]-1)/(q^8*z[2]*z[3]-1)/(q^2*z[2]*z[3]-1)/(q^6*z[2]*z[3]-1)/(q*z[3]-1)/(q ^2*z[3]-1) 8 x[1] For the coeff., ----------- 3 5 x[2] x[3] we have: 25 2 6 4 23 3 6 5 26 6 3 (-q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 24 2 6 4 25 6 3 24 2 6 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 23 2 6 4 22 3 6 4 26 6 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] z[3] 25 6 2 24 6 3 23 2 6 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 23 2 5 4 21 3 6 4 21 3 5 5 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 24 6 2 24 5 3 22 2 6 3 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 22 2 5 4 21 3 5 4 20 3 5 5 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 19 4 5 5 25 6 23 6 2 - q z[1] z[2] z[3] + q z[2] z[3] - 2 q z[1] z[2] z[3] 23 5 3 22 2 6 2 21 2 6 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 21 2 5 4 20 3 5 4 18 4 6 4 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 4 5 5 24 6 24 5 2 - q z[1] z[2] z[3] + q z[2] z[3] - q z[2] z[3] 23 6 23 5 2 22 6 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 22 5 3 21 2 5 3 21 2 4 4 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 20 3 3 5 20 2 5 4 19 3 6 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 19 3 5 4 19 3 4 5 18 4 4 5 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 4 6 4 17 4 5 5 23 5 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] z[3] 22 6 22 5 2 22 4 3 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 21 2 2 5 21 5 3 20 2 6 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 20 2 5 3 20 2 4 4 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 19 3 5 3 19 3 4 4 19 3 3 5 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 3 6 3 18 3 5 4 18 3 4 5 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 4 6 4 16 4 5 5 23 6 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] 23 5 21 5 2 21 4 3 + q z[2] z[3] - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 20 2 4 3 20 2 2 5 19 2 6 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 19 2 5 3 19 2 4 4 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 18 3 6 2 18 3 5 3 18 3 4 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 18 3 3 5 17 3 6 3 - 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 17 3 5 4 17 3 4 5 16 4 6 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 4 6 4 22 5 22 4 2 + q z[1] z[2] z[3] + 2 q z[2] z[3] - q z[2] z[3] 21 5 21 5 20 6 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 20 5 2 20 4 3 19 2 6 - 4 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 19 2 5 2 19 2 4 3 19 2 3 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 19 2 2 5 18 2 6 2 + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 18 2 5 3 18 2 4 4 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 17 3 6 2 17 3 5 3 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 17 3 4 4 17 3 3 5 16 4 4 4 + 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 4 3 5 16 3 6 3 15 4 4 5 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 21 5 21 4 2 20 5 + 2 q z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] 20 3 3 19 2 2 4 19 6 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 19 5 2 19 4 3 18 2 6 - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 18 2 5 2 18 2 4 3 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 18 2 3 4 18 2 2 5 17 3 3 4 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 3 2 5 17 2 6 2 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 17 2 5 3 17 2 4 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 3 6 2 16 3 5 3 + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 16 3 4 4 16 3 3 5 15 4 5 3 + 6 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 4 4 4 15 4 3 5 15 3 6 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 3 5 4 14 4 4 5 21 5 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] 20 4 20 5 20 4 2 19 6 - q z[1] z[2] z[3] + q z[2] z[3] - q z[2] z[3] + q z[1] z[2] 19 5 19 4 2 19 3 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 18 2 4 2 18 2 3 3 18 2 2 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 18 6 18 5 2 18 4 3 - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 2 6 17 2 5 2 - 3 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 17 2 4 3 17 2 3 4 - 3 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 17 2 2 5 16 3 2 5 16 2 6 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 2 5 3 15 3 6 2 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 3 5 3 15 3 4 4 - 5 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 14 4 5 3 14 4 4 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 14 4 3 5 13 4 6 3 13 4 4 5 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 20 5 20 4 20 3 2 19 4 - q z[2] + q z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 19 5 18 6 18 4 2 + q z[2] z[3] + q z[1] z[2] - 2 q z[1] z[2] z[3] 18 3 3 17 2 5 17 2 4 2 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 17 2 3 3 17 2 2 4 17 2 5 - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 5 2 16 2 6 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 16 2 5 2 16 2 4 3 + 5 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 16 2 3 4 15 3 3 4 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 3 2 5 15 2 5 3 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 3 5 3 14 3 4 4 - 4 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 13 4 6 2 13 4 5 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 13 4 4 4 13 4 3 5 12 4 6 3 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 20 4 19 5 19 4 19 3 2 + q z[3] - q z[2] + 2 q z[2] z[3] - q z[2] z[3] 18 4 18 3 2 18 2 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 4 18 5 17 6 - 2 q z[1] z[2] z[3] + q z[2] z[3] + q z[1] z[2] 17 4 2 17 3 3 16 2 5 - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 16 2 4 2 16 2 3 3 + 4 q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] 16 2 2 4 16 2 5 16 5 2 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 3 3 3 15 3 2 4 15 2 6 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 2 5 2 15 2 3 4 14 3 6 + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 3 5 2 14 3 3 4 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 14 3 2 5 13 3 6 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 3 5 3 13 3 4 4 12 4 6 2 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 4 5 3 12 4 4 4 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 4 3 5 11 4 6 3 18 5 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] 18 4 18 3 2 17 5 + 2 q z[2] z[3] - q z[2] z[3] + q z[1] z[2] 17 4 17 3 2 17 2 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 17 4 16 2 4 16 6 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] 16 4 2 16 3 3 15 2 5 - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 15 2 4 2 15 2 3 3 + 6 q z[1] z[2] z[3] - 10 q z[1] z[2] z[3] 15 2 2 4 15 2 5 14 3 4 2 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 3 3 3 14 3 2 4 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 14 2 5 2 14 2 4 3 + 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 14 2 3 4 13 3 6 13 3 5 2 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 3 4 3 13 3 3 4 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 13 3 2 5 12 4 3 4 12 4 2 5 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 3 6 2 12 3 5 3 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 4 6 2 11 4 5 3 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 11 4 4 4 18 2 2 17 3 - q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 17 5 17 4 17 3 2 16 5 - q z[2] + 2 q z[2] z[3] - q z[2] z[3] + 2 q z[1] z[2] 16 4 16 3 2 16 2 3 - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 16 4 15 2 4 15 4 2 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 15 3 3 14 2 6 14 2 5 + q z[1] z[2] z[3] - q z[1] z[2] - 3 q z[1] z[2] z[3] 14 2 4 2 14 2 3 3 + 8 q z[1] z[2] z[3] - 11 q z[1] z[2] z[3] 14 2 2 4 13 3 4 2 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 13 3 3 3 13 3 2 4 + 4 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 13 2 5 2 13 2 4 3 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 12 3 6 12 3 5 2 12 3 4 3 + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 3 3 4 12 3 2 5 11 4 3 4 + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 4 2 5 11 3 5 3 10 4 6 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 4 5 3 10 4 4 4 17 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] 17 2 2 16 3 16 2 2 - q z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 3 16 4 16 5 16 4 - q z[1] z[2] z[3] - q z[1] z[3] - q z[2] + 2 q z[2] z[3] 15 5 15 4 15 3 2 + 2 q z[1] z[2] - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 15 2 3 15 4 14 2 4 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 2 2 3 14 2 4 - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 14 4 2 13 2 6 13 2 5 - 3 q z[1] z[2] z[3] - q z[1] z[2] - 4 q z[1] z[2] z[3] 13 2 4 2 13 2 3 3 + 8 q z[1] z[2] z[3] - 9 q z[1] z[2] z[3] 13 2 2 4 12 3 5 12 3 4 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 12 3 3 3 12 3 2 4 12 3 5 + 6 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 2 5 2 12 2 4 3 11 3 6 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 11 3 5 2 11 3 4 3 11 3 3 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 10 4 5 2 10 4 3 4 10 4 2 5 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 4 6 2 9 4 5 3 17 3 16 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[3] - q z[2] 16 3 16 2 2 15 3 + q z[2] z[3] - q z[2] z[3] - 2 q z[1] z[2] z[3] 15 2 2 15 3 15 4 + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[3] 15 4 14 5 14 4 + q z[2] z[3] + 3 q z[1] z[2] - 2 q z[1] z[2] z[3] 14 2 3 13 2 4 + 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 13 2 2 3 13 2 4 13 4 2 - 4 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 2 6 12 2 5 12 2 4 2 - 2 q z[1] z[2] - 4 q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] 12 2 3 3 11 3 5 11 3 4 2 - 5 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 11 3 3 3 11 3 2 4 11 3 5 + 6 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 3 6 10 3 5 2 10 3 4 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 3 3 4 9 4 5 2 9 4 3 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 4 2 5 16 3 16 2 16 3 + q z[1] z[2] z[3] + q z[2] - q z[2] z[3] + q z[3] 15 4 15 3 15 2 2 14 3 - 2 q z[2] + 2 q z[2] z[3] - q z[2] z[3] - 4 q z[1] z[2] z[3] 14 2 2 14 3 14 4 + 6 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[3] 13 2 2 2 13 2 3 13 5 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + 3 q z[1] z[2] 13 3 2 13 2 3 12 2 5 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] 12 2 4 12 2 3 2 12 2 2 3 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 12 2 4 11 3 2 3 11 3 4 + 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 2 6 11 2 5 11 2 4 2 - q z[1] z[2] - 4 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 11 2 3 3 10 3 5 10 3 4 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 10 3 3 3 10 3 2 4 10 3 5 + 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 3 6 9 3 4 3 8 4 6 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 4 5 2 8 4 3 4 8 4 2 5 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 3 15 2 15 2 15 3 14 4 + q z[2] - q z[2] z[3] - q z[2] z[3] + q z[3] - 2 q z[2] 14 3 14 2 2 13 3 + 2 q z[2] z[3] - q z[2] z[3] - 5 q z[1] z[2] z[3] 13 2 2 13 3 12 2 3 + 8 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 2 2 2 12 2 3 12 5 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 3 q z[1] z[2] 12 3 2 12 2 3 11 2 5 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] 11 2 4 11 2 3 2 + 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 11 2 2 3 11 2 4 - 5 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 10 3 2 3 10 3 4 10 2 6 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] 10 2 5 10 2 4 2 9 3 5 - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 3 4 2 9 3 3 3 9 3 2 4 - 5 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 4 2 4 8 3 6 7 4 6 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 4 5 2 14 3 14 2 14 2 + q z[1] z[2] z[3] + q z[2] - q z[2] z[3] - q z[2] z[3] 14 3 13 2 13 3 13 4 + q z[3] + q z[1] z[2] z[3] - q z[1] z[3] - 2 q z[2] 13 3 12 4 12 3 + 2 q z[2] z[3] + q z[1] z[2] - 7 q z[1] z[2] z[3] 12 2 2 12 3 11 2 3 + 7 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 11 2 2 2 11 2 3 11 2 4 - 5 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[3] 11 5 11 4 11 3 2 + 2 q z[1] z[2] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 10 2 5 10 2 4 10 2 3 2 - 2 q z[1] z[2] + 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 10 2 2 3 10 2 4 9 3 4 - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 3 2 3 9 3 4 9 2 5 + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 9 2 4 2 8 3 6 8 3 5 + q z[1] z[2] z[3] + q z[1] z[2] + 2 q z[1] z[2] z[3] 8 3 4 2 8 3 3 3 7 4 2 4 - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 4 6 6 4 5 2 13 3 13 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] - q z[2] z[3] 12 3 12 2 12 3 12 4 - q z[1] z[2] + 2 q z[1] z[2] z[3] - q z[1] z[3] - q z[2] 12 3 11 4 11 3 + q z[2] z[3] + 2 q z[1] z[2] - 6 q z[1] z[2] z[3] 11 2 2 11 3 10 2 3 + 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 10 2 2 2 10 2 4 10 5 - 6 q z[1] z[2] z[3] + q z[1] z[3] + q z[1] z[2] 10 4 10 3 2 9 2 5 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] 9 2 4 9 2 3 2 9 2 2 3 + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 8 3 4 8 3 2 3 8 3 4 - 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 2 5 7 3 6 7 3 5 - q z[1] z[2] z[3] + q z[1] z[2] + 2 q z[1] z[2] z[3] 7 3 4 2 6 4 2 4 6 4 5 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 4 6 13 2 13 12 2 - q z[1] z[2] z[3] + q z[2] - q z[2] z[3] + q z[2] z[3] 12 2 11 3 11 2 - q z[2] z[3] - 2 q z[1] z[2] + 4 q z[1] z[2] z[3] 11 3 11 4 10 4 10 3 - 2 q z[1] z[3] - q z[2] + 3 q z[1] z[2] - 5 q z[1] z[2] z[3] 10 2 2 9 2 4 9 2 3 + 3 q z[1] z[2] z[3] + q z[1] z[2] + 5 q z[1] z[2] z[3] 9 2 2 2 9 2 3 9 2 4 - 7 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[3] 9 4 8 2 5 8 2 3 2 + q z[1] z[2] z[3] - 3 q z[1] z[2] + 2 q z[1] z[2] z[3] 8 2 2 3 7 3 4 7 3 2 3 - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 7 3 4 6 3 6 6 3 5 - 2 q z[1] z[2] z[3] + q z[1] z[2] + 2 q z[1] z[2] z[3] 6 3 4 2 5 4 5 4 4 6 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 2 12 12 2 11 3 11 2 + q z[2] - 2 q z[2] z[3] + q z[3] - q z[2] + q z[2] z[3] 11 2 10 3 10 2 - q z[2] z[3] - 2 q z[1] z[2] - q z[1] z[2] z[3] 10 2 10 3 9 2 2 + 3 q z[1] z[2] z[3] - 2 q z[1] z[3] - q z[1] z[2] z[3] 9 4 9 3 9 2 2 + 3 q z[1] z[2] - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 2 4 8 2 3 8 2 2 2 + q z[1] z[2] + 6 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 8 2 3 7 3 3 7 2 5 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 3 q z[1] z[2] 7 2 4 7 2 3 2 6 3 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 6 3 2 3 6 3 4 5 3 6 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] 5 3 5 4 4 5 11 2 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[2] 11 11 2 10 10 3 - 2 q z[2] z[3] + q z[3] + q z[1] z[2] z[3] - q z[2] 10 2 9 3 9 2 + q z[2] z[3] - 3 q z[1] z[2] - 2 q z[1] z[2] z[3] 9 2 9 3 8 2 2 + 2 q z[1] z[2] z[3] - q z[1] z[3] - 2 q z[1] z[2] z[3] 8 4 8 3 7 2 4 + 3 q z[1] z[2] - q z[1] z[2] z[3] + q z[1] z[2] 7 2 3 7 2 2 2 7 2 3 + 5 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 3 3 6 2 5 6 2 4 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] - q z[1] z[2] z[3] 5 3 4 4 4 4 4 3 5 - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 3 4 5 10 2 10 10 2 + q z[1] z[2] z[3] + 2 q z[2] - q z[2] z[3] + q z[3] 9 2 9 9 2 9 3 - q z[1] z[2] + 2 q z[1] z[2] z[3] + q z[1] z[3] - q z[2] 9 2 8 3 8 2 + q z[2] z[3] - 2 q z[1] z[2] - 3 q z[1] z[2] z[3] 8 2 7 2 3 7 2 2 + q z[1] z[2] z[3] + q z[1] z[2] - 4 q z[1] z[2] z[3] 7 4 6 2 3 5 3 3 + 2 q z[1] z[2] + 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 5 3 4 5 2 5 5 2 4 - q z[1] z[3] - q z[1] z[2] - q z[1] z[2] z[3] 4 3 4 10 9 2 9 - 2 q z[1] z[2] z[3] - q z[3] + 2 q z[2] - q z[2] z[3] 8 2 8 8 3 7 3 - q z[1] z[2] + 3 q z[1] z[2] z[3] - q z[2] - q z[1] z[2] 7 2 7 2 6 2 3 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] 6 2 2 6 2 3 6 4 - 3 q z[1] z[2] z[3] + q z[1] z[3] + q z[1] z[2] 5 2 3 4 3 4 4 3 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] + q z[1] z[2] z[3] 3 3 5 3 3 4 4 6 9 + q z[1] z[2] - q z[1] z[2] z[3] - q z[1] z[2] - q z[3] 8 2 8 7 2 7 + q z[2] - q z[2] z[3] - 2 q z[1] z[2] + 3 q z[1] z[2] z[3] 6 2 5 2 3 5 2 2 - q z[1] z[2] z[3] + 2 q z[1] z[2] - 2 q z[1] z[2] z[3] 5 2 3 4 2 4 4 2 3 3 3 4 + q z[1] z[3] - q z[1] z[2] + q z[1] z[2] z[3] - q z[1] z[2] 2 3 5 6 2 6 6 2 + q z[1] z[2] - 2 q z[1] z[2] + q z[1] z[2] z[3] - q z[1] z[3] 5 2 2 4 2 3 3 3 3 3 2 4 - q z[1] z[3] + 2 q z[1] z[2] + q z[1] z[3] - q z[1] z[2] 2 3 4 3 5 4 5 7 6 - q z[1] z[2] + q z[1] z[2] + z[1] z[2] + q z[2] + q z[1] z[3] 5 2 4 2 2 4 3 3 2 3 - 2 q z[1] z[2] - q z[1] z[3] + q z[1] z[2] + 2 q z[1] z[2] 2 2 4 3 4 6 5 4 2 - q z[1] z[2] - q z[1] z[2] + q z[2] + q z[1] z[3] - q z[1] z[2] 3 2 2 2 2 3 3 4 6 4 - q z[1] z[3] + q z[1] z[2] - z[1] z[2] - q + q z[1] z[3] 3 2 2 3 2 3 - q z[1] z[2] + q z[1] z[2] ) (-1 + z[1]) (q - z[1]) (q - z[1]) / 2 7 (-z[1] + q) / ((q z[2] - 1) (q z[3] - 1) (q z[3] - 1) (q z[2] z[3] - 1) / 3 8 6 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) 2 5 4 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1)) and in Maple input notation: (-q^25*z[1]^2*z[2]^6*z[3]^4+q^23*z[1]^3*z[2]^6*z[3]^5+q^26*z[1]*z[2]^6*z[3]^3-q ^24*z[1]^2*z[2]^6*z[3]^4+q^25*z[1]*z[2]^6*z[3]^3+q^24*z[1]^2*z[2]^6*z[3]^3-q^23 *z[1]^2*z[2]^6*z[3]^4-q^22*z[1]^3*z[2]^6*z[3]^4-q^26*z[2]^6*z[3]^2-q^25*z[1]*z[ 2]^6*z[3]^2+q^24*z[1]*z[2]^6*z[3]^3+2*q^23*z[1]^2*z[2]^6*z[3]^3-q^23*z[1]^2*z[2 ]^5*z[3]^4-q^21*z[1]^3*z[2]^6*z[3]^4+q^21*z[1]^3*z[2]^5*z[3]^5-2*q^24*z[1]*z[2] ^6*z[3]^2+q^24*z[1]*z[2]^5*z[3]^3+2*q^22*z[1]^2*z[2]^6*z[3]^3-2*q^22*z[1]^2*z[2 ]^5*z[3]^4+q^21*z[1]^3*z[2]^5*z[3]^4+q^20*z[1]^3*z[2]^5*z[3]^5-q^19*z[1]^4*z[2] ^5*z[3]^5+q^25*z[2]^6*z[3]-2*q^23*z[1]*z[2]^6*z[3]^2+2*q^23*z[1]*z[2]^5*z[3]^3- q^22*z[1]^2*z[2]^6*z[3]^2+q^21*z[1]^2*z[2]^6*z[3]^3-2*q^21*z[1]^2*z[2]^5*z[3]^4 +q^20*z[1]^3*z[2]^5*z[3]^4+q^18*z[1]^4*z[2]^6*z[3]^4-q^18*z[1]^4*z[2]^5*z[3]^5+ q^24*z[2]^6*z[3]-q^24*z[2]^5*z[3]^2+q^23*z[1]*z[2]^6*z[3]-q^23*z[1]*z[2]^5*z[3] ^2-q^22*z[1]*z[2]^6*z[3]^2+2*q^22*z[1]*z[2]^5*z[3]^3+q^21*z[1]^2*z[2]^5*z[3]^3- q^21*z[1]^2*z[2]^4*z[3]^4-q^20*z[1]^3*z[2]^3*z[3]^5-q^20*z[1]^2*z[2]^5*z[3]^4-2 *q^19*z[1]^3*z[2]^6*z[3]^3+q^19*z[1]^3*z[2]^5*z[3]^4+q^19*z[1]^3*z[2]^4*z[3]^5+ q^18*z[1]^4*z[2]^4*z[3]^5+q^17*z[1]^4*z[2]^6*z[3]^4-q^17*z[1]^4*z[2]^5*z[3]^5-q ^23*z[2]^5*z[3]^2+q^22*z[1]*z[2]^6*z[3]-2*q^22*z[1]*z[2]^5*z[3]^2+q^22*z[1]*z[2 ]^4*z[3]^3+q^21*z[1]^2*z[2]^2*z[3]^5+q^21*z[1]*z[2]^5*z[3]^3+q^20*z[1]^2*z[2]^6 *z[3]^2+2*q^20*z[1]^2*z[2]^5*z[3]^3-2*q^20*z[1]^2*z[2]^4*z[3]^4-q^19*z[1]^3*z[2 ]^5*z[3]^3+q^19*z[1]^3*z[2]^4*z[3]^4-q^19*z[1]^3*z[2]^3*z[3]^5-3*q^18*z[1]^3*z[ 2]^6*z[3]^3+q^18*z[1]^3*z[2]^5*z[3]^4+q^18*z[1]^3*z[2]^4*z[3]^5+q^16*z[1]^4*z[2 ]^6*z[3]^4-q^16*z[1]^4*z[2]^5*z[3]^5-q^23*z[2]^6+q^23*z[2]^5*z[3]-4*q^21*z[1]*z [2]^5*z[3]^2+2*q^21*z[1]*z[2]^4*z[3]^3-q^20*z[1]^2*z[2]^4*z[3]^3+q^20*z[1]^2*z[ 2]^2*z[3]^5+3*q^19*z[1]^2*z[2]^6*z[3]^2+2*q^19*z[1]^2*z[2]^5*z[3]^3-3*q^19*z[1] ^2*z[2]^4*z[3]^4+q^18*z[1]^3*z[2]^6*z[3]^2-q^18*z[1]^3*z[2]^5*z[3]^3+3*q^18*z[1 ]^3*z[2]^4*z[3]^4-2*q^18*z[1]^3*z[2]^3*z[3]^5-3*q^17*z[1]^3*z[2]^6*z[3]^3+q^17* z[1]^3*z[2]^5*z[3]^4+q^17*z[1]^3*z[2]^4*z[3]^5-q^16*z[1]^4*z[2]^6*z[3]^3+q^15*z [1]^4*z[2]^6*z[3]^4+2*q^22*z[2]^5*z[3]-q^22*z[2]^4*z[3]^2+q^21*z[1]*z[2]^5*z[3] -q^21*z[1]*z[2]*z[3]^5-q^20*z[1]*z[2]^6*z[3]-4*q^20*z[1]*z[2]^5*z[3]^2+3*q^20*z [1]*z[2]^4*z[3]^3-q^19*z[1]^2*z[2]^6*z[3]+q^19*z[1]^2*z[2]^5*z[3]^2-2*q^19*z[1] ^2*z[2]^4*z[3]^3-q^19*z[1]^2*z[2]^3*z[3]^4+q^19*z[1]^2*z[2]^2*z[3]^5+3*q^18*z[1 ]^2*z[2]^6*z[3]^2+2*q^18*z[1]^2*z[2]^5*z[3]^3-2*q^18*z[1]^2*z[2]^4*z[3]^4+2*q^ 17*z[1]^3*z[2]^6*z[3]^2-3*q^17*z[1]^3*z[2]^5*z[3]^3+5*q^17*z[1]^3*z[2]^4*z[3]^4 -q^17*z[1]^3*z[2]^3*z[3]^5-q^16*z[1]^4*z[2]^4*z[3]^4+q^16*z[1]^4*z[2]^3*z[3]^5-\ 2*q^16*z[1]^3*z[2]^6*z[3]^3-q^15*z[1]^4*z[2]^4*z[3]^5+2*q^21*z[2]^5*z[3]-q^21*z [2]^4*z[3]^2+q^20*z[1]*z[2]^5*z[3]+q^20*z[1]*z[2]^3*z[3]^3+q^19*z[1]^2*z[2]^2*z [3]^4-q^19*z[1]*z[2]^6*z[3]-3*q^19*z[1]*z[2]^5*z[3]^2+2*q^19*z[1]*z[2]^4*z[3]^3 -2*q^18*z[1]^2*z[2]^6*z[3]+2*q^18*z[1]^2*z[2]^5*z[3]^2-3*q^18*z[1]^2*z[2]^4*z[3 ]^3-2*q^18*z[1]^2*z[2]^3*z[3]^4+q^18*z[1]^2*z[2]^2*z[3]^5-q^17*z[1]^3*z[2]^3*z[ 3]^4-q^17*z[1]^3*z[2]^2*z[3]^5+2*q^17*z[1]^2*z[2]^6*z[3]^2+2*q^17*z[1]^2*z[2]^5 *z[3]^3-q^17*z[1]^2*z[2]^4*z[3]^4+2*q^16*z[1]^3*z[2]^6*z[3]^2-4*q^16*z[1]^3*z[2 ]^5*z[3]^3+6*q^16*z[1]^3*z[2]^4*z[3]^4-q^16*z[1]^3*z[2]^3*z[3]^5+q^15*z[1]^4*z[ 2]^5*z[3]^3-q^15*z[1]^4*z[2]^4*z[3]^4+q^15*z[1]^4*z[2]^3*z[3]^5-q^15*z[1]^3*z[2 ]^6*z[3]^3-q^15*z[1]^3*z[2]^5*z[3]^4-q^14*z[1]^4*z[2]^4*z[3]^5-q^21*z[2]^5-q^20 *z[1]*z[2]*z[3]^4+q^20*z[2]^5*z[3]-q^20*z[2]^4*z[3]^2+q^19*z[1]*z[2]^6+q^19*z[1 ]*z[2]^5*z[3]-q^19*z[1]*z[2]^4*z[3]^2+2*q^19*z[1]*z[2]^3*z[3]^3+q^18*z[1]^2*z[2 ]^4*z[3]^2-q^18*z[1]^2*z[2]^3*z[3]^3+2*q^18*z[1]^2*z[2]^2*z[3]^4-q^18*z[1]*z[2] ^6*z[3]-3*q^18*z[1]*z[2]^5*z[3]^2+q^18*z[1]*z[2]^4*z[3]^3-3*q^17*z[1]^2*z[2]^6* z[3]+4*q^17*z[1]^2*z[2]^5*z[3]^2-3*q^17*z[1]^2*z[2]^4*z[3]^3-3*q^17*z[1]^2*z[2] ^3*z[3]^4+q^17*z[1]^2*z[2]^2*z[3]^5-2*q^16*z[1]^3*z[2]^2*z[3]^5+q^16*z[1]^2*z[2 ]^6*z[3]^2+2*q^16*z[1]^2*z[2]^5*z[3]^3+q^15*z[1]^3*z[2]^6*z[3]^2-5*q^15*z[1]^3* z[2]^5*z[3]^3+6*q^15*z[1]^3*z[2]^4*z[3]^4+q^14*z[1]^4*z[2]^5*z[3]^3-2*q^14*z[1] ^4*z[2]^4*z[3]^4+2*q^14*z[1]^4*z[2]^3*z[3]^5+q^13*z[1]^4*z[2]^6*z[3]^3-q^13*z[1 ]^4*z[2]^4*z[3]^5-q^20*z[2]^5+q^20*z[2]^4*z[3]-q^20*z[2]^3*z[3]^2-q^19*z[1]*z[2 ]*z[3]^4+q^19*z[2]^5*z[3]+q^18*z[1]*z[2]^6-2*q^18*z[1]*z[2]^4*z[3]^2+3*q^18*z[1 ]*z[2]^3*z[3]^3-q^17*z[1]^2*z[2]^5*z[3]+2*q^17*z[1]^2*z[2]^4*z[3]^2-3*q^17*z[1] ^2*z[2]^3*z[3]^3+3*q^17*z[1]^2*z[2]^2*z[3]^4+q^17*z[1]^2*z[2]*z[3]^5-2*q^17*z[1 ]*z[2]^5*z[3]^2-2*q^16*z[1]^2*z[2]^6*z[3]+5*q^16*z[1]^2*z[2]^5*z[3]^2-2*q^16*z[ 1]^2*z[2]^4*z[3]^3-3*q^16*z[1]^2*z[2]^3*z[3]^4+q^15*z[1]^3*z[2]^3*z[3]^4-2*q^15 *z[1]^3*z[2]^2*z[3]^5+q^15*z[1]^2*z[2]^5*z[3]^3-4*q^14*z[1]^3*z[2]^5*z[3]^3+4*q ^14*z[1]^3*z[2]^4*z[3]^4-q^13*z[1]^4*z[2]^6*z[3]^2+2*q^13*z[1]^4*z[2]^5*z[3]^3-\ 2*q^13*z[1]^4*z[2]^4*z[3]^4+q^13*z[1]^4*z[2]^3*z[3]^5+q^12*z[1]^4*z[2]^6*z[3]^3 +q^20*z[3]^4-q^19*z[2]^5+2*q^19*z[2]^4*z[3]-q^19*z[2]^3*z[3]^2-q^18*z[1]*z[2]^4 *z[3]+q^18*z[1]*z[2]^3*z[3]^2+q^18*z[1]*z[2]^2*z[3]^3-2*q^18*z[1]*z[2]*z[3]^4+q ^18*z[2]^5*z[3]+q^17*z[1]*z[2]^6-3*q^17*z[1]*z[2]^4*z[3]^2+3*q^17*z[1]*z[2]^3*z [3]^3-2*q^16*z[1]^2*z[2]^5*z[3]+4*q^16*z[1]^2*z[2]^4*z[3]^2-7*q^16*z[1]^2*z[2]^ 3*z[3]^3+3*q^16*z[1]^2*z[2]^2*z[3]^4+q^16*z[1]^2*z[2]*z[3]^5-q^16*z[1]*z[2]^5*z [3]^2+q^15*z[1]^3*z[2]^3*z[3]^3-q^15*z[1]^3*z[2]^2*z[3]^4-q^15*z[1]^2*z[2]^6*z[ 3]+4*q^15*z[1]^2*z[2]^5*z[3]^2-2*q^15*z[1]^2*z[2]^3*z[3]^4+q^14*z[1]^3*z[2]^6*z [3]-q^14*z[1]^3*z[2]^5*z[3]^2+3*q^14*z[1]^3*z[2]^3*z[3]^4-2*q^14*z[1]^3*z[2]^2* z[3]^5-q^13*z[1]^3*z[2]^6*z[3]^2-3*q^13*z[1]^3*z[2]^5*z[3]^3+q^13*z[1]^3*z[2]^4 *z[3]^4-q^12*z[1]^4*z[2]^6*z[3]^2+2*q^12*z[1]^4*z[2]^5*z[3]^3-2*q^12*z[1]^4*z[2 ]^4*z[3]^4+q^12*z[1]^4*z[2]^3*z[3]^5+q^11*z[1]^4*z[2]^6*z[3]^3-q^18*z[2]^5+2*q^ 18*z[2]^4*z[3]-q^18*z[2]^3*z[3]^2+q^17*z[1]*z[2]^5-q^17*z[1]*z[2]^4*z[3]+2*q^17 *z[1]*z[2]^3*z[3]^2+2*q^17*z[1]*z[2]^2*z[3]^3-2*q^17*z[1]*z[2]*z[3]^4+q^16*z[1] ^2*z[2]*z[3]^4+q^16*z[1]*z[2]^6-4*q^16*z[1]*z[2]^4*z[3]^2+2*q^16*z[1]*z[2]^3*z[ 3]^3-3*q^15*z[1]^2*z[2]^5*z[3]+6*q^15*z[1]^2*z[2]^4*z[3]^2-10*q^15*z[1]^2*z[2]^ 3*z[3]^3+3*q^15*z[1]^2*z[2]^2*z[3]^4+q^15*z[1]^2*z[2]*z[3]^5-q^14*z[1]^3*z[2]^4 *z[3]^2+2*q^14*z[1]^3*z[2]^3*z[3]^3-2*q^14*z[1]^3*z[2]^2*z[3]^4+3*q^14*z[1]^2*z [2]^5*z[3]^2+2*q^14*z[1]^2*z[2]^4*z[3]^3-q^14*z[1]^2*z[2]^3*z[3]^4+2*q^13*z[1]^ 3*z[2]^6*z[3]-q^13*z[1]^3*z[2]^5*z[3]^2-q^13*z[1]^3*z[2]^4*z[3]^3+4*q^13*z[1]^3 *z[2]^3*z[3]^4-2*q^13*z[1]^3*z[2]^2*z[3]^5-q^12*z[1]^4*z[2]^3*z[3]^4+q^12*z[1]^ 4*z[2]^2*z[3]^5-q^12*z[1]^3*z[2]^6*z[3]^2-2*q^12*z[1]^3*z[2]^5*z[3]^3-2*q^11*z[ 1]^4*z[2]^6*z[3]^2+2*q^11*z[1]^4*z[2]^5*z[3]^3-q^11*z[1]^4*z[2]^4*z[3]^4-q^18*z [2]^2*z[3]^2-q^17*z[1]*z[2]*z[3]^3-q^17*z[2]^5+2*q^17*z[2]^4*z[3]-q^17*z[2]^3*z [3]^2+2*q^16*z[1]*z[2]^5-2*q^16*z[1]*z[2]^4*z[3]+3*q^16*z[1]*z[2]^3*z[3]^2+3*q^ 16*z[1]*z[2]^2*z[3]^3-2*q^16*z[1]*z[2]*z[3]^4+2*q^15*z[1]^2*z[2]*z[3]^4-4*q^15* z[1]*z[2]^4*z[3]^2+q^15*z[1]*z[2]^3*z[3]^3-q^14*z[1]^2*z[2]^6-3*q^14*z[1]^2*z[2 ]^5*z[3]+8*q^14*z[1]^2*z[2]^4*z[3]^2-11*q^14*z[1]^2*z[2]^3*z[3]^3+2*q^14*z[1]^2 *z[2]^2*z[3]^4-2*q^13*z[1]^3*z[2]^4*z[3]^2+4*q^13*z[1]^3*z[2]^3*z[3]^3-3*q^13*z [1]^3*z[2]^2*z[3]^4+2*q^13*z[1]^2*z[2]^5*z[3]^2+2*q^13*z[1]^2*z[2]^4*z[3]^3+3*q ^12*z[1]^3*z[2]^6*z[3]-2*q^12*z[1]^3*z[2]^5*z[3]^2-q^12*z[1]^3*z[2]^4*z[3]^3+4* q^12*z[1]^3*z[2]^3*z[3]^4-q^12*z[1]^3*z[2]^2*z[3]^5-q^11*z[1]^4*z[2]^3*z[3]^4+q ^11*z[1]^4*z[2]^2*z[3]^5-q^11*z[1]^3*z[2]^5*z[3]^3-q^10*z[1]^4*z[2]^6*z[3]^2+q^ 10*z[1]^4*z[2]^5*z[3]^3-q^10*z[1]^4*z[2]^4*z[3]^4-q^17*z[2]^4-q^17*z[2]^2*z[3]^ 2-q^16*z[1]*z[2]^3*z[3]+q^16*z[1]*z[2]^2*z[3]^2-q^16*z[1]*z[2]*z[3]^3-q^16*z[1] *z[3]^4-q^16*z[2]^5+2*q^16*z[2]^4*z[3]+2*q^15*z[1]*z[2]^5-2*q^15*z[1]*z[2]^4*z[ 3]+2*q^15*z[1]*z[2]^3*z[3]^2+3*q^15*z[1]*z[2]^2*z[3]^3-q^15*z[1]*z[2]*z[3]^4+q^ 14*z[1]^2*z[2]^4*z[3]-2*q^14*z[1]^2*z[2]^2*z[3]^3+3*q^14*z[1]^2*z[2]*z[3]^4-3*q ^14*z[1]*z[2]^4*z[3]^2-q^13*z[1]^2*z[2]^6-4*q^13*z[1]^2*z[2]^5*z[3]+8*q^13*z[1] ^2*z[2]^4*z[3]^2-9*q^13*z[1]^2*z[2]^3*z[3]^3+q^13*z[1]^2*z[2]^2*z[3]^4+q^12*z[1 ]^3*z[2]^5*z[3]-4*q^12*z[1]^3*z[2]^4*z[3]^2+6*q^12*z[1]^3*z[2]^3*z[3]^3-2*q^12* z[1]^3*z[2]^2*z[3]^4-q^12*z[1]^3*z[2]*z[3]^5+q^12*z[1]^2*z[2]^5*z[3]^2+q^12*z[1 ]^2*z[2]^4*z[3]^3+3*q^11*z[1]^3*z[2]^6*z[3]-q^11*z[1]^3*z[2]^5*z[3]^2-q^11*z[1] ^3*z[2]^4*z[3]^3+2*q^11*z[1]^3*z[2]^3*z[3]^4+q^10*z[1]^4*z[2]^5*z[3]^2-2*q^10*z [1]^4*z[2]^3*z[3]^4+q^10*z[1]^4*z[2]^2*z[3]^5-q^9*z[1]^4*z[2]^6*z[3]^2+q^9*z[1] ^4*z[2]^5*z[3]^3+q^17*z[3]^3-q^16*z[2]^4+q^16*z[2]^3*z[3]-q^16*z[2]^2*z[3]^2-2* q^15*z[1]*z[2]^3*z[3]+3*q^15*z[1]*z[2]^2*z[3]^2-2*q^15*z[1]*z[2]*z[3]^3-q^15*z[ 1]*z[3]^4+q^15*z[2]^4*z[3]+3*q^14*z[1]*z[2]^5-2*q^14*z[1]*z[2]^4*z[3]+3*q^14*z[ 1]*z[2]^2*z[3]^3+2*q^13*z[1]^2*z[2]^4*z[3]-4*q^13*z[1]^2*z[2]^2*z[3]^3+3*q^13*z [1]^2*z[2]*z[3]^4-q^13*z[1]*z[2]^4*z[3]^2-2*q^12*z[1]^2*z[2]^6-4*q^12*z[1]^2*z[ 2]^5*z[3]+7*q^12*z[1]^2*z[2]^4*z[3]^2-5*q^12*z[1]^2*z[2]^3*z[3]^3+q^11*z[1]^3*z [2]^5*z[3]-5*q^11*z[1]^3*z[2]^4*z[3]^2+6*q^11*z[1]^3*z[2]^3*z[3]^3-2*q^11*z[1]^ 3*z[2]^2*z[3]^4-q^11*z[1]^3*z[2]*z[3]^5+2*q^10*z[1]^3*z[2]^6*z[3]-q^10*z[1]^3*z [2]^5*z[3]^2-q^10*z[1]^3*z[2]^4*z[3]^3+q^10*z[1]^3*z[2]^3*z[3]^4+q^9*z[1]^4*z[2 ]^5*z[3]^2-q^9*z[1]^4*z[2]^3*z[3]^4+q^9*z[1]^4*z[2]^2*z[3]^5+q^16*z[2]^3-q^16*z [2]*z[3]^2+q^16*z[3]^3-2*q^15*z[2]^4+2*q^15*z[2]^3*z[3]-q^15*z[2]^2*z[3]^2-4*q^ 14*z[1]*z[2]^3*z[3]+6*q^14*z[1]*z[2]^2*z[3]^2-2*q^14*z[1]*z[2]*z[3]^3-q^14*z[1] *z[3]^4-q^13*z[1]^2*z[2]^2*z[3]^2+q^13*z[1]^2*z[2]*z[3]^3+3*q^13*z[1]*z[2]^5-2* q^13*z[1]*z[2]^3*z[3]^2+2*q^13*z[1]*z[2]^2*z[3]^3-q^12*z[1]^2*z[2]^5+3*q^12*z[1 ]^2*z[2]^4*z[3]+q^12*z[1]^2*z[2]^3*z[3]^2-6*q^12*z[1]^2*z[2]^2*z[3]^3+4*q^12*z[ 1]^2*z[2]*z[3]^4+q^11*z[1]^3*z[2]^2*z[3]^3-q^11*z[1]^3*z[2]*z[3]^4-q^11*z[1]^2* z[2]^6-4*q^11*z[1]^2*z[2]^5*z[3]+5*q^11*z[1]^2*z[2]^4*z[3]^2-2*q^11*z[1]^2*z[2] ^3*z[3]^3+q^10*z[1]^3*z[2]^5*z[3]-6*q^10*z[1]^3*z[2]^4*z[3]^2+5*q^10*z[1]^3*z[2 ]^3*z[3]^3-q^10*z[1]^3*z[2]^2*z[3]^4-q^10*z[1]^3*z[2]*z[3]^5+q^9*z[1]^3*z[2]^6* z[3]-q^9*z[1]^3*z[2]^4*z[3]^3-q^8*z[1]^4*z[2]^6*z[3]+2*q^8*z[1]^4*z[2]^5*z[3]^2 -q^8*z[1]^4*z[2]^3*z[3]^4+q^8*z[1]^4*z[2]^2*z[3]^5+q^15*z[2]^3-q^15*z[2]^2*z[3] -q^15*z[2]*z[3]^2+q^15*z[3]^3-2*q^14*z[2]^4+2*q^14*z[2]^3*z[3]-q^14*z[2]^2*z[3] ^2-5*q^13*z[1]*z[2]^3*z[3]+8*q^13*z[1]*z[2]^2*z[3]^2-3*q^13*z[1]*z[2]*z[3]^3+q^ 12*z[1]^2*z[2]^3*z[3]-2*q^12*z[1]^2*z[2]^2*z[3]^2+q^12*z[1]^2*z[2]*z[3]^3+3*q^ 12*z[1]*z[2]^5-3*q^12*z[1]*z[2]^3*z[3]^2+q^12*z[1]*z[2]^2*z[3]^3-q^11*z[1]^2*z[ 2]^5+3*q^11*z[1]^2*z[2]^4*z[3]+2*q^11*z[1]^2*z[2]^3*z[3]^2-5*q^11*z[1]^2*z[2]^2 *z[3]^3+3*q^11*z[1]^2*z[2]*z[3]^4+2*q^10*z[1]^3*z[2]^2*z[3]^3-q^10*z[1]^3*z[2]* z[3]^4-q^10*z[1]^2*z[2]^6-3*q^10*z[1]^2*z[2]^5*z[3]+3*q^10*z[1]^2*z[2]^4*z[3]^2 +q^9*z[1]^3*z[2]^5*z[3]-5*q^9*z[1]^3*z[2]^4*z[3]^2+3*q^9*z[1]^3*z[2]^3*z[3]^3-q ^9*z[1]^3*z[2]^2*z[3]^4-q^8*z[1]^4*z[2]^2*z[3]^4+q^8*z[1]^3*z[2]^6*z[3]-q^7*z[1 ]^4*z[2]^6*z[3]+q^7*z[1]^4*z[2]^5*z[3]^2+q^14*z[2]^3-q^14*z[2]^2*z[3]-q^14*z[2] *z[3]^2+q^14*z[3]^3+q^13*z[1]*z[2]*z[3]^2-q^13*z[1]*z[3]^3-2*q^13*z[2]^4+2*q^13 *z[2]^3*z[3]+q^12*z[1]*z[2]^4-7*q^12*z[1]*z[2]^3*z[3]+7*q^12*z[1]*z[2]^2*z[3]^2 -2*q^12*z[1]*z[2]*z[3]^3+2*q^11*z[1]^2*z[2]^3*z[3]-5*q^11*z[1]^2*z[2]^2*z[3]^2+ q^11*z[1]^2*z[2]*z[3]^3+q^11*z[1]^2*z[3]^4+2*q^11*z[1]*z[2]^5+q^11*z[1]*z[2]^4* z[3]-2*q^11*z[1]*z[2]^3*z[3]^2-2*q^10*z[1]^2*z[2]^5+3*q^10*z[1]^2*z[2]^4*z[3]+3 *q^10*z[1]^2*z[2]^3*z[3]^2-4*q^10*z[1]^2*z[2]^2*z[3]^3+q^10*z[1]^2*z[2]*z[3]^4- q^9*z[1]^3*z[2]^4*z[3]+4*q^9*z[1]^3*z[2]^2*z[3]^3-q^9*z[1]^3*z[2]*z[3]^4-2*q^9* z[1]^2*z[2]^5*z[3]+q^9*z[1]^2*z[2]^4*z[3]^2+q^8*z[1]^3*z[2]^6+2*q^8*z[1]^3*z[2] ^5*z[3]-4*q^8*z[1]^3*z[2]^4*z[3]^2+q^8*z[1]^3*z[2]^3*z[3]^3-q^7*z[1]^4*z[2]^2*z [3]^4-q^6*z[1]^4*z[2]^6*z[3]+q^6*z[1]^4*z[2]^5*z[3]^2+q^13*z[2]^3-q^13*z[2]*z[3 ]^2-q^12*z[1]*z[2]^3+2*q^12*z[1]*z[2]*z[3]^2-q^12*z[1]*z[3]^3-q^12*z[2]^4+q^12* z[2]^3*z[3]+2*q^11*z[1]*z[2]^4-6*q^11*z[1]*z[2]^3*z[3]+5*q^11*z[1]*z[2]^2*z[3]^ 2-q^11*z[1]*z[2]*z[3]^3+4*q^10*z[1]^2*z[2]^3*z[3]-6*q^10*z[1]^2*z[2]^2*z[3]^2+q ^10*z[1]^2*z[3]^4+q^10*z[1]*z[2]^5+q^10*z[1]*z[2]^4*z[3]-q^10*z[1]*z[2]^3*z[3]^ 2-2*q^9*z[1]^2*z[2]^5+q^9*z[1]^2*z[2]^4*z[3]+3*q^9*z[1]^2*z[2]^3*z[3]^2-2*q^9*z [1]^2*z[2]^2*z[3]^3-2*q^8*z[1]^3*z[2]^4*z[3]+4*q^8*z[1]^3*z[2]^2*z[3]^3-q^8*z[1 ]^3*z[2]*z[3]^4-q^8*z[1]^2*z[2]^5*z[3]+q^7*z[1]^3*z[2]^6+2*q^7*z[1]^3*z[2]^5*z[ 3]-2*q^7*z[1]^3*z[2]^4*z[3]^2-q^6*z[1]^4*z[2]^2*z[3]^4+q^6*z[1]^4*z[2]*z[3]^5-q ^5*z[1]^4*z[2]^6*z[3]+q^13*z[2]^2-q^13*z[2]*z[3]+q^12*z[2]^2*z[3]-q^12*z[2]*z[3 ]^2-2*q^11*z[1]*z[2]^3+4*q^11*z[1]*z[2]*z[3]^2-2*q^11*z[1]*z[3]^3-q^11*z[2]^4+3 *q^10*z[1]*z[2]^4-5*q^10*z[1]*z[2]^3*z[3]+3*q^10*z[1]*z[2]^2*z[3]^2+q^9*z[1]^2* z[2]^4+5*q^9*z[1]^2*z[2]^3*z[3]-7*q^9*z[1]^2*z[2]^2*z[3]^2+q^9*z[1]^2*z[2]*z[3] ^3+q^9*z[1]^2*z[3]^4+q^9*z[1]*z[2]^4*z[3]-3*q^8*z[1]^2*z[2]^5+2*q^8*z[1]^2*z[2] ^3*z[3]^2-q^8*z[1]^2*z[2]^2*z[3]^3-3*q^7*z[1]^3*z[2]^4*z[3]+3*q^7*z[1]^3*z[2]^2 *z[3]^3-2*q^7*z[1]^3*z[2]*z[3]^4+q^6*z[1]^3*z[2]^6+2*q^6*z[1]^3*z[2]^5*z[3]-q^6 *z[1]^3*z[2]^4*z[3]^2+q^5*z[1]^4*z[2]^5*z[3]-q^4*z[1]^4*z[2]^6*z[3]+q^12*z[2]^2 -2*q^12*z[2]*z[3]+q^12*z[3]^2-q^11*z[2]^3+q^11*z[2]^2*z[3]-q^11*z[2]*z[3]^2-2*q ^10*z[1]*z[2]^3-q^10*z[1]*z[2]^2*z[3]+3*q^10*z[1]*z[2]*z[3]^2-2*q^10*z[1]*z[3]^ 3-q^9*z[1]^2*z[2]*z[3]^2+3*q^9*z[1]*z[2]^4-3*q^9*z[1]*z[2]^3*z[3]+q^9*z[1]*z[2] ^2*z[3]^2+q^8*z[1]^2*z[2]^4+6*q^8*z[1]^2*z[2]^3*z[3]-4*q^8*z[1]^2*z[2]^2*z[3]^2 +q^8*z[1]^2*z[2]*z[3]^3+q^7*z[1]^3*z[2]*z[3]^3-3*q^7*z[1]^2*z[2]^5-q^7*z[1]^2*z [2]^4*z[3]+q^7*z[1]^2*z[2]^3*z[3]^2-3*q^6*z[1]^3*z[2]^4*z[3]+q^6*z[1]^3*z[2]^2* z[3]^3-q^6*z[1]^3*z[2]*z[3]^4+q^5*z[1]^3*z[2]^6+2*q^5*z[1]^3*z[2]^5*z[3]+q^4*z[ 1]^4*z[2]^5*z[3]+2*q^11*z[2]^2-2*q^11*z[2]*z[3]+q^11*z[3]^2+q^10*z[1]*z[2]*z[3] -q^10*z[2]^3+q^10*z[2]^2*z[3]-3*q^9*z[1]*z[2]^3-2*q^9*z[1]*z[2]^2*z[3]+2*q^9*z[ 1]*z[2]*z[3]^2-q^9*z[1]*z[3]^3-2*q^8*z[1]^2*z[2]*z[3]^2+3*q^8*z[1]*z[2]^4-q^8*z [1]*z[2]^3*z[3]+q^7*z[1]^2*z[2]^4+5*q^7*z[1]^2*z[2]^3*z[3]-2*q^7*z[1]^2*z[2]^2* z[3]^2+q^7*z[1]^2*z[2]*z[3]^3+2*q^6*z[1]^3*z[2]*z[3]^3-2*q^6*z[1]^2*z[2]^5-q^6* z[1]^2*z[2]^4*z[3]-3*q^5*z[1]^3*z[2]^4*z[3]-q^4*z[1]^4*z[2]*z[3]^4+q^4*z[1]^3*z [2]^5*z[3]+q^3*z[1]^4*z[2]^5*z[3]+2*q^10*z[2]^2-q^10*z[2]*z[3]+q^10*z[3]^2-q^9* z[1]*z[2]^2+2*q^9*z[1]*z[2]*z[3]+q^9*z[1]*z[3]^2-q^9*z[2]^3+q^9*z[2]^2*z[3]-2*q ^8*z[1]*z[2]^3-3*q^8*z[1]*z[2]^2*z[3]+q^8*z[1]*z[2]*z[3]^2+q^7*z[1]^2*z[2]^3-4* q^7*z[1]^2*z[2]*z[3]^2+2*q^7*z[1]*z[2]^4+4*q^6*z[1]^2*z[2]^3*z[3]+2*q^5*z[1]^3* z[2]*z[3]^3-q^5*z[1]^3*z[3]^4-q^5*z[1]^2*z[2]^5-q^5*z[1]^2*z[2]^4*z[3]-2*q^4*z[ 1]^3*z[2]^4*z[3]-q^10*z[3]+2*q^9*z[2]^2-q^9*z[2]*z[3]-q^8*z[1]*z[2]^2+3*q^8*z[1 ]*z[2]*z[3]-q^8*z[2]^3-q^7*z[1]*z[2]^3-2*q^7*z[1]*z[2]^2*z[3]+q^7*z[1]*z[2]*z[3 ]^2+q^6*z[1]^2*z[2]^3-3*q^6*z[1]^2*z[2]*z[3]^2+q^6*z[1]^2*z[3]^3+q^6*z[1]*z[2]^ 4+2*q^5*z[1]^2*z[2]^3*z[3]-q^4*z[1]^3*z[2]^4+q^4*z[1]^3*z[2]*z[3]^3+q^3*z[1]^3* z[2]^5-q^3*z[1]^3*z[2]^4*z[3]-q*z[1]^4*z[2]^6-q^9*z[3]+q^8*z[2]^2-q^8*z[2]*z[3] -2*q^7*z[1]*z[2]^2+3*q^7*z[1]*z[2]*z[3]-q^6*z[1]*z[2]^2*z[3]+2*q^5*z[1]^2*z[2]^ 3-2*q^5*z[1]^2*z[2]*z[3]^2+q^5*z[1]^2*z[3]^3-q^4*z[1]^2*z[2]^4+q^4*z[1]^2*z[2]^ 3*z[3]-q^3*z[1]^3*z[2]^4+q^2*z[1]^3*z[2]^5-2*q^6*z[1]*z[2]^2+q^6*z[1]*z[2]*z[3] -q^6*z[1]*z[3]^2-q^5*z[1]^2*z[3]^2+2*q^4*z[1]^2*z[2]^3+q^3*z[1]^3*z[3]^3-q^3*z[ 1]^2*z[2]^4-q^2*z[1]^3*z[2]^4+q*z[1]^3*z[2]^5+z[1]^4*z[2]^5+q^7*z[2]+q^6*z[1]*z [3]-2*q^5*z[1]*z[2]^2-q^4*z[1]^2*z[3]^2+q^4*z[1]*z[2]^3+2*q^3*z[1]^2*z[2]^3-q^2 *z[1]^2*z[2]^4-q*z[1]^3*z[2]^4+q^6*z[2]+q^5*z[1]*z[3]-q^4*z[1]*z[2]^2-q^3*z[1]^ 2*z[3]^2+q^2*z[1]^2*z[2]^3-z[1]^3*z[2]^4-q^6+q^4*z[1]*z[3]-q^3*z[1]*z[2]^2+q*z[ 1]^2*z[2]^3)*(-1+z[1])*(q^2-z[1])*(q^3-z[1])*(-z[1]+q)/(q*z[2]-1)/(q^2*z[3]-1)/ (q*z[3]-1)/(q^7*z[2]*z[3]-1)/(q*z[2]*z[3]-1)/(q^3*z[2]*z[3]-1)/(q^8*z[2]*z[3]-1 )/(q^6*z[2]*z[3]-1)/(q^2*z[2]*z[3]-1)/(q^5*z[2]*z[3]-1)/(q^4*z[2]*z[3]-1) 8 x[1] For the coeff., ----------- 2 6 x[2] x[3] we have: 3 2 28 2 7 5 (q - z[1]) (-z[1] + q) (q - z[1]) (-1 + z[1]) (-q z[1] z[2] z[3] 29 7 4 28 7 4 27 2 7 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 25 3 7 5 29 7 3 28 7 3 - q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 26 2 7 4 26 2 6 5 25 3 6 5 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 27 7 3 27 6 4 26 2 6 4 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 25 2 7 4 24 3 6 5 28 7 2 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 26 7 3 26 6 4 25 2 7 3 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 25 2 6 4 21 4 7 5 27 7 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 27 6 3 26 7 2 25 7 3 - q z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 24 2 7 3 24 2 6 4 24 2 5 5 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 23 3 6 4 23 3 5 5 22 3 7 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 26 7 2 25 7 2 25 6 3 + q z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 25 5 4 24 2 6 3 24 2 5 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 23 2 7 3 23 2 6 4 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 22 3 6 4 22 3 5 5 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 21 4 5 5 21 3 7 4 26 7 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[2] z[3] 26 6 2 25 5 3 24 7 2 + q z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 24 6 3 24 5 4 23 2 6 3 - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 23 2 5 4 22 3 5 4 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 22 2 7 3 22 2 6 4 21 3 7 3 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 21 3 6 4 21 3 5 5 20 4 5 5 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 20 3 7 4 19 4 7 4 19 4 6 5 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 25 7 25 6 2 25 5 3 - q z[2] z[3] + 2 q z[2] z[3] - q z[2] z[3] 24 5 3 23 7 2 23 6 3 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 22 3 3 5 22 2 6 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 22 2 5 4 22 2 4 5 21 3 5 4 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 21 3 4 5 21 2 7 3 21 2 6 4 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 20 4 4 5 20 3 7 3 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 20 3 6 4 20 3 5 5 19 4 6 4 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 19 4 5 5 18 4 7 4 18 4 6 5 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 25 5 2 24 7 24 6 2 - q z[2] z[3] - q z[2] z[3] + 2 q z[2] z[3] 23 2 2 5 23 7 23 6 2 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 23 5 3 23 4 4 22 2 5 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 22 2 4 4 22 7 2 22 6 3 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 21 3 3 5 21 2 7 2 21 2 6 3 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 20 3 4 5 20 2 7 3 20 2 6 4 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 19 3 7 3 19 3 6 4 + 4 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 18 4 6 4 18 4 5 5 24 6 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[2] z[3] 23 5 2 23 4 3 23 6 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 22 2 2 5 22 6 2 22 5 3 + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 22 4 4 21 2 6 2 21 2 5 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 21 2 4 4 21 7 2 21 6 3 - 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 20 3 4 4 20 3 3 5 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 20 2 7 2 20 2 6 3 - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 19 3 6 3 19 3 5 4 19 3 4 5 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 18 3 7 3 18 3 6 4 + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 17 4 6 4 17 4 5 5 23 5 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 23 7 23 6 23 5 2 23 4 3 + q z[2] - 2 q z[2] z[3] + q z[2] z[3] - q z[2] z[3] 22 5 2 22 4 3 22 6 2 - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[2] z[3] 21 2 4 3 21 2 2 5 21 7 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 21 6 2 21 5 3 20 2 6 2 + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 20 2 5 3 20 2 4 4 + 6 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 20 2 3 5 20 6 3 19 3 5 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 19 3 4 4 19 3 3 5 + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 19 2 7 2 19 2 6 3 19 2 5 4 - 5 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 4 3 5 18 3 7 2 18 3 6 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 3 5 4 18 3 4 5 - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 17 4 4 5 17 3 7 3 16 4 6 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 23 5 23 4 2 22 6 22 5 2 + q z[2] z[3] - q z[2] z[3] - 3 q z[2] z[3] + 2 q z[2] z[3] 21 2 2 4 21 5 2 21 4 3 + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 21 3 4 21 6 2 20 2 4 3 + q z[1] z[2] z[3] + q z[2] z[3] - 2 q z[1] z[2] z[3] 20 2 3 4 20 2 2 5 20 7 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 20 6 2 20 5 3 19 3 3 4 + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 19 3 2 5 19 2 7 19 2 6 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 19 2 5 3 19 2 4 4 + 7 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 18 3 5 3 18 3 4 4 - 2 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 18 3 3 5 18 2 7 2 18 2 6 3 - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 2 5 4 17 4 4 4 17 4 3 5 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 3 7 2 17 3 6 3 17 3 5 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 17 3 4 5 16 4 6 3 16 4 5 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 16 4 4 5 15 4 7 3 15 4 6 4 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 22 4 22 5 22 4 2 - q z[1] z[2] z[3] + q z[2] z[3] - q z[2] z[3] 21 3 3 21 6 21 5 2 + q z[1] z[2] z[3] - 2 q z[2] z[3] + q z[2] z[3] 20 2 2 4 20 5 2 20 4 3 + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 20 3 4 19 2 4 3 19 2 3 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 19 2 2 5 19 7 19 6 2 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 19 5 3 18 3 2 5 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 18 2 7 18 2 6 2 + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 18 2 5 3 18 2 4 4 + 9 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 17 3 6 2 17 3 5 3 + q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 17 3 4 4 17 2 7 2 17 2 6 3 + 7 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 4 4 4 16 4 3 5 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 16 3 6 3 16 3 5 4 + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 15 4 6 3 15 4 5 4 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 15 4 4 5 14 4 7 3 - 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 14 4 6 4 21 4 21 6 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] 21 3 3 20 5 20 4 2 - q z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 20 3 3 20 6 20 5 2 + 3 q z[1] z[2] z[3] - 2 q z[2] z[3] + q z[2] z[3] 19 2 3 3 19 2 2 4 19 2 5 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 19 7 19 6 19 5 2 - q z[1] z[2] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 18 2 5 2 18 2 4 3 18 2 3 4 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 18 7 18 6 2 18 5 3 + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 3 3 4 17 3 2 5 17 2 7 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 17 2 6 2 17 2 5 3 - 6 q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] 16 3 6 2 16 3 5 3 + 2 q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] 16 3 4 4 16 3 3 5 15 4 5 3 + 5 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 4 4 4 15 4 3 5 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 3 7 2 15 3 6 3 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 15 3 5 4 14 4 6 3 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 4 5 4 14 4 4 5 13 4 7 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 22 4 21 4 21 3 2 20 4 + q z[3] + q z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 20 6 20 5 20 4 2 19 5 + q z[2] - 2 q z[2] z[3] + q z[2] z[3] + q z[1] z[2] z[3] 19 4 2 19 3 3 19 2 4 - 5 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 19 6 19 5 2 18 2 4 2 - 2 q z[2] z[3] + q z[2] z[3] + q z[1] z[2] z[3] 18 2 3 3 18 2 2 4 18 2 5 - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 7 18 6 18 5 2 - q z[1] z[2] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 4 3 17 3 2 4 17 2 5 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 17 2 4 3 17 2 3 4 17 6 2 + 4 q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 3 4 3 16 3 3 4 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 16 3 2 5 16 2 7 16 2 6 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 16 2 5 3 16 2 4 4 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 3 6 2 15 3 5 3 + 2 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 15 3 4 4 15 3 3 5 14 4 5 3 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 4 4 4 14 4 3 5 14 3 7 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 14 3 6 3 14 3 5 4 13 4 7 2 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 4 5 4 13 4 4 5 12 4 7 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 20 5 20 4 20 3 2 19 3 2 - q z[2] + 2 q z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] 19 2 3 19 4 19 6 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[2] 19 5 19 4 2 18 2 4 - 2 q z[2] z[3] + q z[2] z[3] + q z[1] z[2] z[3] 18 5 18 4 2 18 3 3 + q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 18 2 4 18 6 17 2 4 2 + q z[1] z[2] z[3] - q z[2] z[3] + 2 q z[1] z[2] z[3] 17 2 3 3 17 2 2 4 17 2 5 - 6 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 7 17 6 17 5 2 - q z[1] z[2] + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 17 4 3 16 3 3 3 16 3 2 4 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 2 6 16 2 4 3 16 2 3 4 + q z[1] z[2] z[3] + 9 q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 15 3 5 2 15 3 4 3 + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 15 3 3 4 15 3 2 5 15 2 7 + 6 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 2 6 2 14 4 3 4 14 4 2 5 - 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 3 7 14 3 6 2 14 3 5 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 13 4 5 3 13 3 7 2 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 13 3 6 3 12 4 7 2 12 4 6 3 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 4 5 4 19 4 19 3 2 + q z[1] z[2] z[3] + 3 q z[2] z[3] - q z[2] z[3] 19 2 3 18 3 2 18 2 3 - q z[2] z[3] + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 18 4 18 6 18 5 18 4 2 - 2 q z[1] z[2] z[3] + q z[2] - 3 q z[2] z[3] + q z[2] z[3] 17 2 4 17 6 17 5 + 2 q z[1] z[2] z[3] - q z[1] z[2] + q z[1] z[2] z[3] 17 4 2 17 3 3 16 2 5 - 9 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 2 4 2 16 2 3 3 + 5 q z[1] z[2] z[3] - 9 q z[1] z[2] z[3] 16 2 2 4 16 7 16 6 + q z[1] z[2] z[3] - q z[1] z[2] + 2 q z[1] z[2] z[3] 16 5 2 16 4 3 15 3 3 3 + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 15 3 2 4 15 2 6 15 2 5 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 15 2 4 3 15 2 3 4 + 10 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 14 3 5 2 14 3 4 3 + 2 q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] 14 3 3 4 14 3 2 5 14 2 7 + 6 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 2 6 2 13 4 3 4 - 5 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 13 4 2 5 13 3 7 13 3 6 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 13 3 5 3 12 4 6 2 12 4 5 3 - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 4 4 4 12 3 7 2 12 3 6 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 4 7 2 19 2 2 18 3 + q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 18 4 18 4 17 2 3 - q z[1] z[3] + 2 q z[2] z[3] + 4 q z[1] z[2] z[3] 17 4 17 6 17 5 17 4 2 - q z[1] z[2] z[3] + q z[2] - 3 q z[2] z[3] + q z[2] z[3] 16 2 2 3 16 2 4 16 6 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] 16 5 16 4 2 16 3 3 + 3 q z[1] z[2] z[3] - 9 q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 2 5 15 2 4 2 - 3 q z[1] z[2] z[3] + 8 q z[1] z[2] z[3] 15 2 3 3 15 6 15 5 2 - 8 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 14 3 4 2 14 3 3 3 14 3 2 4 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 3 5 14 2 7 14 2 6 - q z[1] z[2] z[3] + q z[1] z[2] + 2 q z[1] z[2] z[3] 14 2 5 2 14 2 4 3 - 4 q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] 13 3 5 2 13 3 4 3 + 3 q z[1] z[2] z[3] - 8 q z[1] z[2] z[3] 13 3 3 4 13 2 7 13 2 6 2 + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 13 2 5 3 12 4 4 3 12 4 3 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 4 2 5 12 3 7 12 3 6 2 + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 12 3 5 3 12 3 4 4 11 4 6 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 4 5 3 11 4 4 4 11 4 3 5 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 4 18 3 18 2 2 17 2 2 - q z[2] + q z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] 17 3 17 4 17 5 17 4 - q z[1] z[2] z[3] - q z[1] z[3] + q z[2] + 2 q z[2] z[3] 16 5 16 3 2 16 2 3 + q z[1] z[2] - 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 16 6 16 5 15 2 3 2 + q z[2] - 3 q z[2] z[3] + q z[1] z[2] z[3] 15 2 2 3 15 2 4 15 6 - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] 15 5 15 4 2 15 3 3 + 3 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 2 5 14 2 4 2 - 4 q z[1] z[2] z[3] + 9 q z[1] z[2] z[3] 14 2 3 3 14 2 2 4 - 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 14 6 14 5 2 13 3 4 2 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 13 3 3 3 13 3 5 13 2 7 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] 13 2 6 13 2 5 2 + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 13 2 4 3 12 3 5 2 + 4 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 12 3 4 3 12 3 3 4 - 7 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 12 2 6 2 11 4 4 3 11 4 3 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 4 2 5 11 3 7 11 3 6 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 4 6 2 10 4 4 4 18 3 17 4 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[3] - q z[2] 17 3 17 2 2 17 3 + 2 q z[2] z[3] - q z[2] z[3] - q z[2] z[3] 16 3 16 2 2 16 4 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[3] 16 5 16 3 2 15 5 15 4 + q z[2] + q z[2] z[3] + q z[1] z[2] + q z[1] z[2] z[3] 15 3 2 15 2 3 15 5 - 6 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] - q z[2] z[3] 14 2 3 2 14 2 2 3 + 3 q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] 14 2 4 14 6 14 5 + 3 q z[1] z[2] z[3] - 3 q z[1] z[2] + 2 q z[1] z[2] z[3] 14 4 2 14 3 3 13 3 2 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 3 4 13 2 5 13 2 4 2 - q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 13 2 2 4 13 6 13 5 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 3 4 2 12 3 3 3 12 3 2 4 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 3 5 12 2 7 12 2 6 - q z[1] z[2] z[3] + 2 q z[1] z[2] + 3 q z[1] z[2] z[3] 12 2 5 2 12 2 4 3 - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 11 4 2 4 11 3 5 2 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 11 3 4 3 11 3 3 4 - 5 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 10 4 4 3 10 4 3 4 10 4 2 5 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 3 7 10 3 6 2 9 4 6 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 4 7 2 17 2 17 3 16 4 - q z[1] z[2] z[3] - q z[2] z[3] + q z[3] - 2 q z[2] 16 3 16 2 2 15 3 + 3 q z[2] z[3] - q z[2] z[3] - 2 q z[1] z[2] z[3] 15 2 2 15 3 15 5 + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[2] 15 4 15 3 2 14 2 2 2 - q z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 14 5 14 4 14 3 2 + q z[1] z[2] + 3 q z[1] z[2] z[3] - 9 q z[1] z[2] z[3] 14 2 3 14 5 13 2 4 + 4 q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 13 2 3 2 13 2 2 3 + 8 q z[1] z[2] z[3] - 8 q z[1] z[2] z[3] 13 2 4 13 6 13 5 + 3 q z[1] z[2] z[3] - 3 q z[1] z[2] + q z[1] z[2] z[3] 12 3 2 3 12 3 4 12 2 6 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] 12 2 5 12 2 4 2 11 3 5 - 4 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 3 4 2 11 3 3 3 11 2 7 - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] 11 2 6 11 2 5 2 10 4 2 4 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 10 3 5 2 10 3 4 3 9 4 4 3 + 4 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 3 6 2 8 4 7 8 4 6 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 2 16 3 15 2 15 4 - q z[2] z[3] + q z[3] + q z[1] z[2] z[3] - 2 q z[2] 15 3 15 2 2 14 4 + 4 q z[2] z[3] - q z[2] z[3] + q z[1] z[2] 14 3 14 2 2 14 3 - 4 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 5 14 4 13 2 2 2 + 2 q z[2] - 2 q z[2] z[3] - 2 q z[1] z[2] z[3] 13 2 4 13 4 13 3 2 + q z[1] z[3] + 5 q z[1] z[2] z[3] - 8 q z[1] z[2] z[3] 13 2 3 12 2 4 12 2 3 2 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 10 q z[1] z[2] z[3] 12 2 2 3 12 2 4 12 6 - 6 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 3 q z[1] z[2] 12 5 12 4 2 11 3 3 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 3 2 3 11 2 6 11 2 5 + 4 q z[1] z[2] z[3] + q z[1] z[2] - 4 q z[1] z[2] z[3] 11 2 4 2 11 2 3 3 10 3 5 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 10 3 4 2 10 3 3 3 - 3 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 10 3 2 4 10 2 7 10 2 6 + q z[1] z[2] z[3] + q z[1] z[2] + q z[1] z[2] z[3] 10 2 5 2 9 4 3 3 9 4 2 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 9 3 6 9 3 5 2 8 4 3 4 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 3 6 2 7 4 7 15 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[2] z[3] 14 2 14 4 14 3 13 4 + q z[1] z[2] z[3] - 2 q z[2] + 3 q z[2] z[3] + 2 q z[1] z[2] 13 3 13 2 2 13 5 - 5 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + 2 q z[2] 13 4 12 2 3 12 2 2 2 - q z[2] z[3] + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 12 2 3 12 2 4 12 5 - 2 q z[1] z[2] z[3] + q z[1] z[3] - q z[1] z[2] 12 4 12 3 2 11 2 5 + 5 q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] - q z[1] z[2] 11 2 4 11 2 3 2 - 4 q z[1] z[2] z[3] + 11 q z[1] z[2] z[3] 11 2 2 3 11 6 11 4 2 - 3 q z[1] z[2] z[3] - 2 q z[1] z[2] + q z[1] z[2] z[3] 10 3 3 2 10 3 2 3 10 2 6 - 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] + 2 q z[1] z[2] 10 2 5 10 2 4 2 10 2 3 3 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 9 3 5 9 3 4 2 9 3 3 3 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 9 3 2 4 9 2 5 2 8 4 3 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 4 2 4 8 4 5 8 3 7 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] 8 3 6 8 3 5 2 6 4 7 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 2 14 3 14 2 14 2 - q z[3] - q z[2] + q z[2] z[3] - q z[2] z[3] 13 2 13 2 13 3 13 4 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[3] - q z[2] 13 3 13 2 2 12 4 + q z[2] z[3] + q z[2] z[3] + 3 q z[1] z[2] 12 3 12 3 12 5 12 4 - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] - q z[2] z[3] 11 2 3 11 2 2 2 11 2 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 11 2 4 11 5 11 4 + q z[1] z[3] - 2 q z[1] z[2] + 4 q z[1] z[2] z[3] 11 3 2 10 3 3 10 2 5 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] 10 2 4 10 2 3 2 - 5 q z[1] z[2] z[3] + 9 q z[1] z[2] z[3] 10 2 2 3 10 6 9 3 3 2 - 3 q z[1] z[2] z[3] - q z[1] z[2] - 3 q z[1] z[2] z[3] 9 3 2 3 9 3 4 9 2 6 + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] 9 2 4 2 8 3 5 8 3 3 3 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 7 4 3 3 7 4 2 4 7 3 7 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] 7 3 6 6 4 6 5 4 7 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 3 13 2 13 2 - 2 q z[2] + 3 q z[2] z[3] - 2 q z[2] z[3] 12 2 12 2 12 3 - 3 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] - 2 q z[1] z[3] 11 2 2 11 4 11 3 - q z[1] z[2] z[3] + 4 q z[1] z[2] - 2 q z[1] z[2] z[3] 11 2 2 11 5 10 2 3 - q z[1] z[2] z[3] + q z[2] + 3 q z[1] z[2] z[3] 10 2 3 10 5 10 4 - 2 q z[1] z[2] z[3] - 3 q z[1] z[2] + 3 q z[1] z[2] z[3] 10 3 2 9 3 3 9 2 5 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] 9 2 4 9 2 3 2 9 2 2 3 - 7 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 3 3 2 8 3 2 3 8 3 4 - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 2 6 8 2 5 7 3 5 + 3 q z[1] z[2] + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 6 3 7 6 3 6 5 4 6 13 2 - q z[1] z[2] - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] 13 12 3 12 2 12 2 - q z[2] z[3] - 3 q z[2] + 3 q z[2] z[3] - q z[2] z[3] 11 2 11 2 11 3 - 5 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - q z[1] z[3] 11 4 10 2 2 10 2 3 10 4 + q z[2] - 2 q z[1] z[2] z[3] - q z[1] z[3] + 4 q z[1] z[2] 9 2 4 9 2 3 9 2 2 2 - q z[1] z[2] + 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 9 5 9 4 8 3 2 2 - 3 q z[1] z[2] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 3 3 8 2 5 8 2 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] - 5 q z[1] z[2] z[3] 8 2 3 2 7 3 3 2 7 3 2 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 2 6 7 2 5 6 4 2 3 + 3 q z[1] z[2] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 6 4 4 6 3 5 5 3 7 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] 5 3 6 4 4 6 12 2 12 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] - q z[2] z[3] 12 2 11 11 2 11 3 + q z[3] + q z[1] z[2] z[3] + q z[1] z[3] - 3 q z[2] 11 2 10 3 10 2 + 2 q z[2] z[3] + q z[1] z[2] - 6 q z[1] z[2] z[3] 10 2 10 4 10 3 9 2 2 + 2 q z[1] z[2] z[3] + q z[2] - q z[2] z[3] + q z[1] z[2] z[3] 9 2 2 9 2 3 9 4 - 2 q z[1] z[2] z[3] - q z[1] z[3] + 4 q z[1] z[2] 9 3 9 2 2 8 2 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] 8 2 3 8 2 2 2 8 2 3 + 2 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 5 7 3 2 2 7 3 3 - 3 q z[1] z[2] - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 7 3 4 7 2 5 7 2 4 - q z[1] z[3] - q z[1] z[2] - 4 q z[1] z[2] z[3] 6 3 2 3 6 2 6 6 2 5 - q z[1] z[2] z[3] + 2 q z[1] z[2] + q z[1] z[2] z[3] 5 4 2 3 5 4 4 5 3 5 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 11 2 10 2 10 3 10 2 + q z[2] + 2 q z[1] z[3] - 3 q z[2] + q z[2] z[3] 9 3 9 2 9 2 9 4 + 2 q z[1] z[2] - 6 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] 8 2 2 8 2 2 8 4 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] 8 3 7 2 4 7 2 2 2 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] + 4 q z[1] z[2] z[3] 7 5 6 3 2 2 6 3 3 - 2 q z[1] z[2] - 3 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 6 2 4 5 3 5 5 2 6 - 2 q z[1] z[2] z[3] + q z[1] z[2] + q z[1] z[2] 4 3 5 11 10 9 2 + q z[1] z[2] z[3] - q z[3] + q z[2] z[3] - q z[1] z[2] 9 2 9 3 9 2 8 3 + 2 q z[1] z[3] - 2 q z[2] + q z[2] z[3] + 3 q z[1] z[2] 8 2 8 2 8 4 - 5 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[2] 7 2 2 7 2 2 7 2 3 + 3 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + q z[1] z[3] 7 4 7 3 6 2 4 + q z[1] z[2] + q z[1] z[2] z[3] - 2 q z[1] z[2] 6 2 2 2 6 5 5 3 2 2 + q z[1] z[2] z[3] - q z[1] z[2] - q z[1] z[2] z[3] 5 3 3 5 2 4 4 3 5 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] 3 3 6 4 7 10 10 8 2 - q z[1] z[2] + q z[1] z[2] + q z[2] - q z[3] - q z[1] z[2] 8 3 7 3 7 2 - q z[2] + 3 q z[1] z[2] - 2 q z[1] z[2] z[3] 6 2 2 6 2 2 5 3 2 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 5 3 3 5 2 4 4 2 5 3 4 3 + q z[1] z[3] - 3 q z[1] z[2] + q z[1] z[2] + q z[1] z[2] z[3] 3 3 5 2 3 6 9 9 8 2 + q z[1] z[2] - q z[1] z[2] + q z[2] - q z[3] - q z[2] 7 2 7 6 2 6 2 2 - q z[1] z[2] - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[3] 6 3 5 2 2 4 3 2 + 3 q z[1] z[2] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 4 3 3 4 2 4 3 2 5 2 3 5 + q z[1] z[3] - 2 q z[1] z[2] + q z[1] z[2] + q z[1] z[2] 3 6 4 6 8 7 2 6 - q z[1] z[2] - z[1] z[2] + q z[2] - q z[2] - 2 q z[1] z[2] z[3] 5 2 5 2 2 5 3 + 2 q z[1] z[2] z[3] - 2 q z[1] z[3] + 2 q z[1] z[2] 4 4 3 3 2 3 2 4 2 2 5 - q z[1] z[2] - q z[1] z[2] z[3] - 2 q z[1] z[2] + q z[1] z[2] 3 5 7 6 6 6 2 + q z[1] z[2] + q z[2] - q z[1] z[2] + q z[1] z[3] - q z[2] 5 4 2 4 2 2 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[3] 4 3 2 2 4 3 5 6 5 + q z[1] z[2] - q z[1] z[2] + z[1] z[2] + q z[2] - q z[1] z[2] 5 3 3 2 3 2 2 4 + q z[1] z[3] + q z[1] z[2] - q z[1] z[3] - q z[1] z[2] 3 2 2 2 3 / 3 + q z[1] z[3] + q z[1] z[3] - q z[1]) / ((q z[2] - 1) (q z[3] - 1) / 2 3 7 (q z[3] - 1) (q z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) 6 2 4 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) 5 8 (q z[2] z[3] - 1) (q z[2] z[3] - 1)) and in Maple input notation: (q^3-z[1])*(-z[1]+q)*(q^2-z[1])*(-1+z[1])*(-q^28*z[1]^2*z[2]^7*z[3]^5+q^29*z[1] *z[2]^7*z[3]^4+q^28*z[1]*z[2]^7*z[3]^4+q^27*z[1]^2*z[2]^7*z[3]^4-q^25*z[1]^3*z[ 2]^7*z[3]^5-q^29*z[2]^7*z[3]^3-q^28*z[1]*z[2]^7*z[3]^3+2*q^26*z[1]^2*z[2]^7*z[3 ]^4-q^26*z[1]^2*z[2]^6*z[3]^5+q^25*z[1]^3*z[2]^6*z[3]^5-2*q^27*z[1]*z[2]^7*z[3] ^3+q^27*z[1]*z[2]^6*z[3]^4-q^26*z[1]^2*z[2]^6*z[3]^4+2*q^25*z[1]^2*z[2]^7*z[3]^ 4+q^24*z[1]^3*z[2]^6*z[3]^5+q^28*z[2]^7*z[3]^2-3*q^26*z[1]*z[2]^7*z[3]^3+q^26*z [1]*z[2]^6*z[3]^4-q^25*z[1]^2*z[2]^7*z[3]^3-q^25*z[1]^2*z[2]^6*z[3]^4+q^21*z[1] ^4*z[2]^7*z[3]^5+q^27*z[2]^7*z[3]^2-q^27*z[2]^6*z[3]^3+q^26*z[1]*z[2]^7*z[3]^2- q^25*z[1]*z[2]^7*z[3]^3-q^24*z[1]^2*z[2]^7*z[3]^3+q^24*z[1]^2*z[2]^6*z[3]^4-q^ 24*z[1]^2*z[2]^5*z[3]^5-q^23*z[1]^3*z[2]^6*z[3]^4+q^23*z[1]^3*z[2]^5*z[3]^5-q^ 22*z[1]^3*z[2]^7*z[3]^4+q^26*z[2]^7*z[3]^2+2*q^25*z[1]*z[2]^7*z[3]^2-2*q^25*z[1 ]*z[2]^6*z[3]^3+q^25*z[1]*z[2]^5*z[3]^4+q^24*z[1]^2*z[2]^6*z[3]^3-2*q^24*z[1]^2 *z[2]^5*z[3]^4-q^23*z[1]^2*z[2]^7*z[3]^3+2*q^23*z[1]^2*z[2]^6*z[3]^4-2*q^22*z[1 ]^3*z[2]^6*z[3]^4+2*q^22*z[1]^3*z[2]^5*z[3]^5-q^21*z[1]^4*z[2]^5*z[3]^5-2*q^21* z[1]^3*z[2]^7*z[3]^4-q^26*z[2]^7*z[3]+q^26*z[2]^6*z[3]^2+q^25*z[1]*z[2]^5*z[3]^ 3+2*q^24*z[1]*z[2]^7*z[3]^2-4*q^24*z[1]*z[2]^6*z[3]^3+q^24*z[1]*z[2]^5*z[3]^4+2 *q^23*z[1]^2*z[2]^6*z[3]^3-3*q^23*z[1]^2*z[2]^5*z[3]^4+q^22*z[1]^3*z[2]^5*z[3]^ 4+2*q^22*z[1]^2*z[2]^7*z[3]^3+q^22*z[1]^2*z[2]^6*z[3]^4+q^21*z[1]^3*z[2]^7*z[3] ^3-2*q^21*z[1]^3*z[2]^6*z[3]^4+q^21*z[1]^3*z[2]^5*z[3]^5-q^20*z[1]^4*z[2]^5*z[3 ]^5-q^20*z[1]^3*z[2]^7*z[3]^4-q^19*z[1]^4*z[2]^7*z[3]^4+q^19*z[1]^4*z[2]^6*z[3] ^5-q^25*z[2]^7*z[3]+2*q^25*z[2]^6*z[3]^2-q^25*z[2]^5*z[3]^3+2*q^24*z[1]*z[2]^5* z[3]^3+q^23*z[1]*z[2]^7*z[3]^2-3*q^23*z[1]*z[2]^6*z[3]^3-q^22*z[1]^3*z[2]^3*z[3 ]^5+2*q^22*z[1]^2*z[2]^6*z[3]^3-2*q^22*z[1]^2*z[2]^5*z[3]^4-q^22*z[1]^2*z[2]^4* z[3]^5+q^21*z[1]^3*z[2]^5*z[3]^4+q^21*z[1]^3*z[2]^4*z[3]^5+2*q^21*z[1]^2*z[2]^7 *z[3]^3+q^21*z[1]^2*z[2]^6*z[3]^4+q^20*z[1]^4*z[2]^4*z[3]^5+2*q^20*z[1]^3*z[2]^ 7*z[3]^3-3*q^20*z[1]^3*z[2]^6*z[3]^4+q^20*z[1]^3*z[2]^5*z[3]^5+q^19*z[1]^4*z[2] ^6*z[3]^4-2*q^19*z[1]^4*z[2]^5*z[3]^5-q^18*z[1]^4*z[2]^7*z[3]^4+q^18*z[1]^4*z[2 ]^6*z[3]^5-q^25*z[2]^5*z[3]^2-q^24*z[2]^7*z[3]+2*q^24*z[2]^6*z[3]^2+q^23*z[1]^2 *z[2]^2*z[3]^5-q^23*z[1]*z[2]^7*z[3]+q^23*z[1]*z[2]^6*z[3]^2+q^23*z[1]*z[2]^5*z [3]^3+q^23*z[1]*z[2]^4*z[3]^4+q^22*z[1]^2*z[2]^5*z[3]^3-2*q^22*z[1]^2*z[2]^4*z[ 3]^4-q^22*z[1]*z[2]^7*z[3]^2-2*q^22*z[1]*z[2]^6*z[3]^3-q^21*z[1]^3*z[2]^3*z[3]^ 5-2*q^21*z[1]^2*z[2]^7*z[3]^2+q^21*z[1]^2*z[2]^6*z[3]^3+2*q^20*z[1]^3*z[2]^4*z[ 3]^5+q^20*z[1]^2*z[2]^7*z[3]^3+q^20*z[1]^2*z[2]^6*z[3]^4+4*q^19*z[1]^3*z[2]^7*z [3]^3-3*q^19*z[1]^3*z[2]^6*z[3]^4+2*q^18*z[1]^4*z[2]^6*z[3]^4-2*q^18*z[1]^4*z[2 ]^5*z[3]^5-q^24*z[2]^6*z[3]-q^23*z[1]*z[2]^5*z[3]^2+q^23*z[1]*z[2]^4*z[3]^3+q^ 23*z[2]^6*z[3]^2+q^22*z[1]^2*z[2]^2*z[3]^5+3*q^22*z[1]*z[2]^6*z[3]^2-2*q^22*z[1 ]*z[2]^5*z[3]^3+q^22*z[1]*z[2]^4*z[3]^4-q^21*z[1]^2*z[2]^6*z[3]^2+4*q^21*z[1]^2 *z[2]^5*z[3]^3-4*q^21*z[1]^2*z[2]^4*z[3]^4-q^21*z[1]*z[2]^7*z[3]^2-2*q^21*z[1]* z[2]^6*z[3]^3+2*q^20*z[1]^3*z[2]^4*z[3]^4-2*q^20*z[1]^3*z[2]^3*z[3]^5-4*q^20*z[ 1]^2*z[2]^7*z[3]^2+2*q^20*z[1]^2*z[2]^6*z[3]^3-q^19*z[1]^3*z[2]^6*z[3]^3-q^19*z [1]^3*z[2]^5*z[3]^4+2*q^19*z[1]^3*z[2]^4*z[3]^5+3*q^18*z[1]^3*z[2]^7*z[3]^3-2*q ^18*z[1]^3*z[2]^6*z[3]^4+2*q^17*z[1]^4*z[2]^6*z[3]^4-q^17*z[1]^4*z[2]^5*z[3]^5- q^23*z[1]*z[2]*z[3]^5+q^23*z[2]^7-2*q^23*z[2]^6*z[3]+q^23*z[2]^5*z[3]^2-q^23*z[ 2]^4*z[3]^3-3*q^22*z[1]*z[2]^5*z[3]^2+3*q^22*z[1]*z[2]^4*z[3]^3+q^22*z[2]^6*z[3 ]^2-q^21*z[1]^2*z[2]^4*z[3]^3+q^21*z[1]^2*z[2]^2*z[3]^5+q^21*z[1]*z[2]^7*z[3]+3 *q^21*z[1]*z[2]^6*z[3]^2-2*q^21*z[1]*z[2]^5*z[3]^3-q^20*z[1]^2*z[2]^6*z[3]^2+6* q^20*z[1]^2*z[2]^5*z[3]^3-4*q^20*z[1]^2*z[2]^4*z[3]^4-q^20*z[1]^2*z[2]^3*z[3]^5 -q^20*z[1]*z[2]^6*z[3]^3-q^19*z[1]^3*z[2]^5*z[3]^3+4*q^19*z[1]^3*z[2]^4*z[3]^4- q^19*z[1]^3*z[2]^3*z[3]^5-5*q^19*z[1]^2*z[2]^7*z[3]^2+q^19*z[1]^2*z[2]^6*z[3]^3 +q^19*z[1]^2*z[2]^5*z[3]^4+q^18*z[1]^4*z[2]^3*z[3]^5-q^18*z[1]^3*z[2]^7*z[3]^2- q^18*z[1]^3*z[2]^6*z[3]^3-3*q^18*z[1]^3*z[2]^5*z[3]^4+2*q^18*z[1]^3*z[2]^4*z[3] ^5-q^17*z[1]^4*z[2]^4*z[3]^5+q^17*z[1]^3*z[2]^7*z[3]^3+q^16*z[1]^4*z[2]^6*z[3]^ 4+q^23*z[2]^5*z[3]-q^23*z[2]^4*z[3]^2-3*q^22*z[2]^6*z[3]+2*q^22*z[2]^5*z[3]^2+q ^21*z[1]^2*z[2]^2*z[3]^4-4*q^21*z[1]*z[2]^5*z[3]^2+3*q^21*z[1]*z[2]^4*z[3]^3+q^ 21*z[1]*z[2]^3*z[3]^4+q^21*z[2]^6*z[3]^2-2*q^20*z[1]^2*z[2]^4*z[3]^3-2*q^20*z[1 ]^2*z[2]^3*z[3]^4+q^20*z[1]^2*z[2]^2*z[3]^5+2*q^20*z[1]*z[2]^7*z[3]+3*q^20*z[1] *z[2]^6*z[3]^2-2*q^20*z[1]*z[2]^5*z[3]^3-q^19*z[1]^3*z[2]^3*z[3]^4-q^19*z[1]^3* z[2]^2*z[3]^5+q^19*z[1]^2*z[2]^7*z[3]-2*q^19*z[1]^2*z[2]^6*z[3]^2+7*q^19*z[1]^2 *z[2]^5*z[3]^3-3*q^19*z[1]^2*z[2]^4*z[3]^4-2*q^18*z[1]^3*z[2]^5*z[3]^3+6*q^18*z [1]^3*z[2]^4*z[3]^4-q^18*z[1]^3*z[2]^3*z[3]^5-3*q^18*z[1]^2*z[2]^7*z[3]^2-q^18* z[1]^2*z[2]^6*z[3]^3+q^18*z[1]^2*z[2]^5*z[3]^4-q^17*z[1]^4*z[2]^4*z[3]^4+q^17*z [1]^4*z[2]^3*z[3]^5-q^17*z[1]^3*z[2]^7*z[3]^2+q^17*z[1]^3*z[2]^6*z[3]^3-5*q^17* z[1]^3*z[2]^5*z[3]^4+q^17*z[1]^3*z[2]^4*z[3]^5-q^16*z[1]^4*z[2]^6*z[3]^3+2*q^16 *z[1]^4*z[2]^5*z[3]^4-2*q^16*z[1]^4*z[2]^4*z[3]^5-q^15*z[1]^4*z[2]^7*z[3]^3+q^ 15*z[1]^4*z[2]^6*z[3]^4-q^22*z[1]*z[2]*z[3]^4+q^22*z[2]^5*z[3]-q^22*z[2]^4*z[3] ^2+q^21*z[1]*z[2]^3*z[3]^3-2*q^21*z[2]^6*z[3]+q^21*z[2]^5*z[3]^2+q^20*z[1]^2*z[ 2]^2*z[3]^4-3*q^20*z[1]*z[2]^5*z[3]^2+q^20*z[1]*z[2]^4*z[3]^3+q^20*z[1]*z[2]^3* z[3]^4-q^19*z[1]^2*z[2]^4*z[3]^3-4*q^19*z[1]^2*z[2]^3*z[3]^4+q^19*z[1]^2*z[2]^2 *z[3]^5+2*q^19*z[1]*z[2]^7*z[3]+3*q^19*z[1]*z[2]^6*z[3]^2-2*q^19*z[1]*z[2]^5*z[ 3]^3-2*q^18*z[1]^3*z[2]^2*z[3]^5+2*q^18*z[1]^2*z[2]^7*z[3]-4*q^18*z[1]^2*z[2]^6 *z[3]^2+9*q^18*z[1]^2*z[2]^5*z[3]^3-2*q^18*z[1]^2*z[2]^4*z[3]^4+q^17*z[1]^3*z[2 ]^6*z[3]^2-5*q^17*z[1]^3*z[2]^5*z[3]^3+7*q^17*z[1]^3*z[2]^4*z[3]^4-q^17*z[1]^2* 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q^9*z[1]^2*z[2]*z[3]^2-q^9*z[1]^2*z[3]^3+4*q^9*z[1]*z[2]^4+2*q^9*z[1]*z[2]^3*z[ 3]-q^9*z[1]*z[2]^2*z[3]^2-q^8*z[1]^2*z[2]^4+2*q^8*z[1]^2*z[2]^3*z[3]+4*q^8*z[1] ^2*z[2]^2*z[3]^2-q^8*z[1]^2*z[2]*z[3]^3-3*q^8*z[1]*z[2]^5-2*q^7*z[1]^3*z[2]^2*z [3]^2+3*q^7*z[1]^3*z[2]*z[3]^3-q^7*z[1]^3*z[3]^4-q^7*z[1]^2*z[2]^5-4*q^7*z[1]^2 *z[2]^4*z[3]-q^6*z[1]^3*z[2]^2*z[3]^3+2*q^6*z[1]^2*z[2]^6+q^6*z[1]^2*z[2]^5*z[3 ]+q^5*z[1]^4*z[2]^2*z[3]^3-q^5*z[1]^4*z[2]*z[3]^4+2*q^5*z[1]^3*z[2]^5*z[3]+q^11 *z[2]^2+2*q^10*z[1]*z[3]^2-3*q^10*z[2]^3+q^10*z[2]^2*z[3]+2*q^9*z[1]*z[2]^3-6*q ^9*z[1]*z[2]^2*z[3]+q^9*z[1]*z[2]*z[3]^2+q^9*z[2]^4+2*q^8*z[1]^2*z[2]^2*z[3]-3* q^8*z[1]^2*z[2]*z[3]^2+2*q^8*z[1]*z[2]^4+2*q^8*z[1]*z[2]^3*z[3]-2*q^7*z[1]^2*z[ 2]^4+4*q^7*z[1]^2*z[2]^2*z[3]^2-2*q^7*z[1]*z[2]^5-3*q^6*z[1]^3*z[2]^2*z[3]^2+3* q^6*z[1]^3*z[2]*z[3]^3-2*q^6*z[1]^2*z[2]^4*z[3]+q^5*z[1]^3*z[2]^5+q^5*z[1]^2*z[ 2]^6+q^4*z[1]^3*z[2]^5*z[3]-q^11*z[3]+q^10*z[2]*z[3]-q^9*z[1]*z[2]^2+2*q^9*z[1] *z[3]^2-2*q^9*z[2]^3+q^9*z[2]^2*z[3]+3*q^8*z[1]*z[2]^3-5*q^8*z[1]*z[2]^2*z[3]+q ^8*z[1]*z[2]*z[3]^2+q^8*z[2]^4+3*q^7*z[1]^2*z[2]^2*z[3]-3*q^7*z[1]^2*z[2]*z[3]^ 2+q^7*z[1]^2*z[3]^3+q^7*z[1]*z[2]^4+q^7*z[1]*z[2]^3*z[3]-2*q^6*z[1]^2*z[2]^4+q^ 6*z[1]^2*z[2]^2*z[3]^2-q^6*z[1]*z[2]^5-q^5*z[1]^3*z[2]^2*z[3]^2+q^5*z[1]^3*z[2] *z[3]^3-q^5*z[1]^2*z[2]^4*z[3]+q^4*z[1]^3*z[2]^5-q^3*z[1]^3*z[2]^6+q*z[1]^4*z[2 ]^7+q^10*z[2]-q^10*z[3]-q^8*z[1]*z[2]^2-q^8*z[2]^3+3*q^7*z[1]*z[2]^3-2*q^7*z[1] *z[2]^2*z[3]+2*q^6*z[1]^2*z[2]^2*z[3]-q^6*z[1]^2*z[2]*z[3]^2-q^5*z[1]^3*z[2]*z[ 3]^2+q^5*z[1]^3*z[3]^3-3*q^5*z[1]^2*z[2]^4+q^4*z[1]^2*z[2]^5+q^3*z[1]^4*z[2]*z[ 3]^3+q^3*z[1]^3*z[2]^5-q^2*z[1]^3*z[2]^6+q^9*z[2]-q^9*z[3]-q^8*z[2]^2-q^7*z[1]* z[2]^2-q^7*z[1]*z[2]*z[3]+q^6*z[1]^2*z[2]*z[3]-q^6*z[1]^2*z[3]^2+3*q^6*z[1]*z[2 ]^3+q^5*z[1]^2*z[2]*z[3]^2-2*q^4*z[1]^3*z[2]*z[3]^2+q^4*z[1]^3*z[3]^3-2*q^4*z[1 ]^2*z[2]^4+q^3*z[1]^2*z[2]^5+q^2*z[1]^3*z[2]^5-q*z[1]^3*z[2]^6-z[1]^4*z[2]^6+q^ 8*z[2]-q^7*z[2]^2-2*q^6*z[1]*z[2]*z[3]+2*q^5*z[1]^2*z[2]*z[3]-2*q^5*z[1]^2*z[3] ^2+2*q^5*z[1]*z[2]^3-q^4*z[1]*z[2]^4-q^3*z[1]^3*z[2]*z[3]^2-2*q^3*z[1]^2*z[2]^4 +q^2*z[1]^2*z[2]^5+q*z[1]^3*z[2]^5+q^7*z[2]-q^6*z[1]*z[2]+q^6*z[1]*z[3]-q^6*z[2 ]^2-q^5*z[1]*z[2]*z[3]+2*q^4*z[1]^2*z[2]*z[3]-q^4*z[1]^2*z[3]^2+q^4*z[1]*z[2]^3 -q^2*z[1]^2*z[2]^4+z[1]^3*z[2]^5+q^6*z[2]-q^5*z[1]*z[2]+q^5*z[1]*z[3]+q^3*z[1]* z[2]^3-q^2*z[1]^3*z[3]^2-q*z[1]^2*z[2]^4+q^3*z[1]^2*z[3]+q^2*z[1]^2*z[3]-q^3*z[ 1])/(q*z[2]-1)/(q^3*z[3]-1)/(q*z[3]-1)/(q^2*z[3]-1)/(q^3*z[2]*z[3]-1)/(q^7*z[2] *z[3]-1)/(q*z[2]*z[3]-1)/(q^6*z[2]*z[3]-1)/(q^2*z[2]*z[3]-1)/(q^4*z[2]*z[3]-1)/ (q^5*z[2]*z[3]-1)/(q^8*z[2]*z[3]-1) 8 x[1] For the coeff., ---------- 7 x[2] x[3] we have: 2 3 28 7 4 (q - z[1]) (q - z[1]) (-z[1] + q) (-1 + z[1]) (q z[1] z[2] z[3] 26 2 7 4 28 7 3 27 7 3 + q z[1] z[2] z[3] - q z[2] z[3] - q z[1] z[2] z[3] 27 6 4 26 2 6 4 25 2 7 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 26 7 3 27 7 2 27 6 3 - 2 q z[1] z[2] z[3] + q z[2] z[3] - q z[2] z[3] 26 5 4 25 2 5 4 25 7 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 24 2 7 3 24 2 6 4 23 3 6 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 26 7 2 25 7 2 25 6 3 + q z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 24 2 6 3 24 2 5 4 23 3 5 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 23 2 7 3 22 3 6 4 21 3 7 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 26 6 2 26 5 3 25 5 3 + q z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] 25 4 4 25 7 2 24 2 4 4 + q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 24 7 2 24 6 3 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 23 2 6 3 21 3 6 4 25 7 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] z[3] 25 6 2 23 2 4 4 23 7 2 + 2 q z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 23 6 3 22 3 4 4 22 2 6 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 21 2 7 3 20 3 7 3 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 20 3 6 4 19 4 6 4 18 4 7 4 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 25 4 3 24 4 3 24 3 4 - q z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 24 7 24 6 2 23 2 3 4 - q z[2] z[3] + 2 q z[2] z[3] - q z[1] z[2] z[3] 23 6 2 23 5 3 22 2 5 3 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 22 2 4 4 22 6 3 21 3 4 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 21 2 6 3 20 3 5 4 20 2 7 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 19 3 7 3 19 3 6 4 18 4 6 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 24 6 24 5 2 23 5 2 - q z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 23 4 3 23 7 23 6 2 + q z[1] z[2] z[3] - q z[2] z[3] + q z[2] z[3] 22 2 4 3 22 2 3 4 22 7 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 22 6 2 22 5 3 21 3 3 4 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 21 2 6 2 21 2 5 3 21 2 4 4 - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 21 7 2 21 6 3 20 3 5 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 20 3 4 4 20 2 7 2 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 20 2 6 3 19 4 4 4 19 3 6 3 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 19 3 5 4 18 4 5 4 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 3 7 3 24 3 3 23 3 3 + 3 q z[1] z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] 23 2 4 23 6 23 5 2 + q z[1] z[2] z[3] - 2 q z[2] z[3] + 2 q z[2] z[3] 22 2 2 4 22 5 2 22 6 2 - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + q z[2] z[3] 21 2 3 4 21 6 2 21 5 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 20 3 3 4 20 2 6 2 20 2 5 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 20 7 2 20 6 3 19 3 5 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 19 3 4 4 19 2 7 2 19 2 6 3 + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 4 4 4 18 3 5 4 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 17 4 5 4 17 3 7 3 22 3 3 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 22 7 22 6 22 5 2 21 2 3 3 + q z[2] - 3 q z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 21 2 2 4 21 5 2 21 6 2 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[2] z[3] 20 2 4 3 20 2 3 4 20 7 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 20 6 2 20 5 3 19 3 3 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 19 2 6 2 19 2 5 3 - 2 q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] 18 3 5 3 18 2 7 2 - 4 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 18 2 6 3 17 4 4 4 17 3 7 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 3 6 3 17 3 5 4 16 4 6 3 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 4 5 4 23 2 3 22 2 3 + 2 q z[1] z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] 22 4 22 4 2 21 4 2 + q z[1] z[2] z[3] + q z[2] z[3] - 2 q z[1] z[2] z[3] 21 3 3 21 6 21 5 2 + q z[1] z[2] z[3] - 2 q z[2] z[3] + q z[2] z[3] 20 2 3 3 20 2 2 4 20 5 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 20 4 3 20 6 2 19 2 5 2 - q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 19 2 4 3 19 2 3 4 19 7 + 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 19 6 2 19 5 3 18 3 4 3 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 18 3 3 4 18 2 7 18 2 6 2 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 18 2 5 3 17 4 3 4 17 3 6 2 + 6 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 3 5 3 17 3 4 4 - 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 2 7 2 17 2 6 3 16 4 5 3 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 16 4 4 4 16 3 7 2 16 3 6 3 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 15 4 6 3 15 4 5 4 14 4 7 3 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 21 2 3 21 6 21 5 21 4 2 + q z[1] z[2] z[3] + q z[2] - 2 q z[2] z[3] + q z[2] z[3] 20 2 2 3 20 5 20 4 2 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 20 3 3 20 6 20 5 2 + 2 q z[1] z[2] z[3] - 2 q z[2] z[3] + q z[2] z[3] 19 2 4 2 19 2 3 3 + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 19 2 2 4 19 6 19 5 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 19 4 3 18 3 3 3 18 3 2 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 18 2 4 3 18 7 18 6 2 + 7 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 17 3 4 3 17 3 3 4 - 4 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 17 2 7 17 2 6 2 + 2 q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] 17 2 5 3 16 4 3 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 3 6 2 16 3 5 3 + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 16 3 4 4 15 4 5 3 15 3 6 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 4 6 3 14 4 5 4 13 4 7 3 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 22 3 21 3 21 4 - q z[2] z[3] + q z[1] z[2] z[3] + q z[2] z[3] 20 2 3 20 6 20 5 20 4 2 + q z[1] z[2] z[3] + q z[2] - 2 q z[2] z[3] + q z[2] z[3] 19 2 2 3 19 5 19 4 2 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] 19 6 19 5 2 18 2 4 2 - 2 q z[2] z[3] + q z[2] z[3] + 2 q z[1] z[2] z[3] 18 2 3 3 18 2 2 4 18 7 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[1] z[2] 18 6 18 5 2 18 4 3 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 3 3 3 17 3 2 4 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 17 2 5 2 17 2 4 3 17 7 - 2 q z[1] z[2] z[3] + 8 q z[1] z[2] z[3] + q z[1] z[2] z[3] 17 6 2 16 3 4 3 + 2 q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] 16 3 3 4 16 2 7 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 16 2 6 2 15 4 3 4 - 5 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 15 3 6 2 15 3 5 3 15 3 4 4 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 14 4 5 3 14 4 4 4 14 3 7 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 14 3 6 3 13 4 6 3 13 4 5 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 20 3 20 4 19 3 2 + q z[1] z[2] z[3] + q z[2] z[3] - q z[1] z[2] z[3] 19 2 3 19 6 19 5 19 4 2 + 3 q z[1] z[2] z[3] + q z[2] - 3 q z[2] z[3] + q z[2] z[3] 18 2 2 3 18 2 4 18 5 - 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 18 4 2 18 3 3 18 6 - 7 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[2] z[3] 17 2 4 2 17 2 3 3 + 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 17 2 2 4 17 7 17 6 - q z[1] z[2] z[3] - q z[1] z[2] + 3 q z[1] z[2] z[3] 17 5 2 16 3 3 3 16 3 2 4 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 16 2 6 16 2 5 2 16 2 4 3 + q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 15 3 5 2 15 3 4 3 + 2 q z[1] z[2] z[3] - 10 q z[1] z[2] z[3] 15 3 3 4 15 2 7 15 2 6 2 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 14 4 4 3 14 4 3 4 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 14 3 6 2 13 4 5 3 13 4 4 4 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 3 7 2 13 3 6 3 12 4 7 2 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 4 6 3 21 3 19 3 - 2 q z[1] z[2] z[3] - q z[3] + q z[1] z[2] z[3] 19 4 19 3 2 18 4 + q z[2] z[3] + q z[2] z[3] + q z[1] z[2] z[3] 18 3 2 18 2 3 18 6 - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[2] 18 5 18 4 2 17 2 3 2 - 3 q z[2] z[3] + q z[2] z[3] + q z[1] z[2] z[3] 17 2 2 3 17 2 4 17 6 - 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] 17 5 17 4 2 17 3 3 + 4 q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 6 16 3 2 3 16 2 5 - q z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 2 4 2 16 2 3 3 16 7 + 6 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - q z[1] z[2] 16 6 16 5 2 15 3 4 2 + 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 15 3 3 3 15 3 2 4 15 2 6 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 15 2 5 2 15 2 4 3 - 8 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 14 3 5 2 14 3 4 3 + 4 q z[1] z[2] z[3] - 10 q z[1] z[2] z[3] 14 2 7 14 2 6 2 13 4 4 3 - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 13 4 3 4 13 3 7 13 3 6 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] 13 3 5 3 12 4 6 2 12 4 4 4 + q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 3 7 2 11 4 7 2 11 4 6 3 + q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 19 3 19 2 2 18 2 2 + q z[2] z[3] - q z[2] z[3] + q z[1] z[2] z[3] 18 3 18 5 18 3 2 + 3 q z[1] z[2] z[3] + q z[2] + q z[2] z[3] 17 2 3 17 4 17 3 2 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] 17 6 17 5 16 2 3 2 + q z[2] - 4 q z[2] z[3] + 4 q z[1] z[2] z[3] 16 2 2 3 16 2 4 16 6 - 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] 16 5 16 4 2 15 3 2 3 + 5 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 15 2 5 15 2 4 2 - 3 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 15 2 3 3 15 7 15 6 + 4 q z[1] z[2] z[3] - q z[1] z[2] + q z[1] z[2] z[3] 15 5 2 14 3 4 2 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 14 3 3 3 14 3 2 4 - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 14 2 6 14 2 5 2 14 2 4 3 + 2 q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 4 2 4 13 3 5 2 - q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 13 3 4 3 13 2 7 13 2 6 2 - 8 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 12 4 4 3 12 4 3 4 12 3 7 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 12 3 6 2 12 3 5 3 + 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 11 4 6 2 11 4 5 3 11 4 4 4 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 4 7 2 18 4 18 3 + q z[1] z[2] z[3] - q z[2] + 2 q z[2] z[3] 17 3 17 3 17 5 - q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + q z[2] 17 3 2 16 2 2 2 16 2 3 + q z[2] z[3] - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 16 4 16 3 2 16 2 3 + 3 q z[1] z[2] z[3] - 8 q z[1] z[2] z[3] - q z[1] z[2] z[3] 16 6 16 5 15 2 3 2 + q z[2] - 3 q z[2] z[3] + 7 q z[1] z[2] z[3] 15 2 2 3 15 6 15 5 - 3 q z[1] z[2] z[3] - 3 q z[1] z[2] + 5 q z[1] z[2] z[3] 14 3 2 3 14 2 5 14 2 4 2 + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + q z[1] z[2] z[3] 14 2 3 3 14 6 14 5 2 + 5 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 3 4 2 13 3 3 3 - 2 q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 13 3 2 4 13 2 7 13 2 6 + 2 q z[1] z[2] z[3] + q z[1] z[2] + q z[1] z[2] z[3] 13 2 5 2 12 4 3 3 12 4 2 4 - 6 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 3 5 2 12 3 4 3 12 2 7 + 8 q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 2 6 2 11 4 4 3 11 4 3 4 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 3 7 11 3 6 2 11 3 5 3 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 10 4 6 2 10 4 5 3 18 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[2] z[3] 17 2 17 3 17 4 17 3 + q z[1] z[2] z[3] + q z[1] z[3] - q z[2] + 2 q z[2] z[3] 17 2 2 16 3 16 2 2 + q z[2] z[3] - q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 16 3 16 5 16 4 + 2 q z[1] z[2] z[3] + 2 q z[2] - 2 q z[2] z[3] 15 2 3 15 4 15 3 2 - 2 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] - 7 q z[1] z[2] z[3] 15 6 15 5 14 2 4 + q z[2] - 2 q z[2] z[3] - q z[1] z[2] z[3] 14 2 3 2 14 2 2 3 14 6 + 12 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] - 3 q z[1] z[2] 14 5 14 4 2 13 3 3 2 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 13 3 2 3 13 3 4 13 2 5 + 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 13 2 4 2 13 2 3 3 - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] 13 6 13 5 2 12 3 4 2 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 12 3 3 3 12 3 2 4 12 2 7 - 7 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] 12 2 6 12 2 5 2 + 2 q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 11 4 3 3 11 4 2 4 11 3 6 + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 3 5 2 11 3 4 3 + 9 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 10 4 5 2 10 4 4 3 10 3 7 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 10 3 6 2 9 4 6 2 17 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] + q z[2] z[3] 17 2 16 2 16 3 16 4 - q z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[3] - q z[2] 16 3 16 2 2 15 3 + 2 q z[2] z[3] + q z[2] z[3] - 2 q z[1] z[2] z[3] 15 2 2 15 5 15 4 - 4 q z[1] z[2] z[3] + 2 q z[2] - 2 q z[2] z[3] 14 2 3 14 5 14 4 - 2 q z[1] z[2] z[3] - q z[1] z[2] + 9 q z[1] z[2] z[3] 14 3 2 14 5 13 2 4 - 5 q z[1] z[2] z[3] - q z[2] z[3] - 4 q z[1] z[2] z[3] 13 2 3 2 13 2 2 3 13 6 + 14 q z[1] z[2] z[3] - q z[1] z[2] z[3] - 3 q z[1] z[2] 13 5 13 4 2 12 3 3 2 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 12 3 2 3 12 3 4 12 2 6 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] 12 2 5 12 2 4 2 12 2 3 3 - 5 q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] + q z[1] z[2] z[3] 12 6 11 3 5 11 3 4 2 + q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] z[3] 11 3 3 3 11 2 7 11 2 6 - 5 q z[1] z[2] z[3] + 2 q z[1] z[2] + 3 q z[1] z[2] z[3] 11 2 5 2 10 4 3 3 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 10 4 2 4 10 3 6 10 3 5 2 - q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] 9 4 5 2 9 3 7 8 4 6 2 - q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] z[3] 17 2 16 3 16 2 15 2 - q z[3] - q z[2] + 2 q z[2] z[3] - q z[1] z[2] z[3] 15 2 15 3 15 4 15 3 + q z[1] z[2] z[3] + q z[1] z[3] - q z[2] + q z[2] z[3] 14 4 14 3 14 2 2 + q z[1] z[2] - 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 14 5 14 4 13 2 3 + 3 q z[2] - 2 q z[2] z[3] + q z[1] z[2] z[3] 13 2 2 2 13 2 3 13 5 + 2 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] - 2 q z[1] z[2] 13 4 13 3 2 13 5 + 8 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] - q z[2] z[3] 12 3 3 12 2 4 12 2 3 2 + q z[1] z[2] z[3] - 6 q z[1] z[2] z[3] + 13 q z[1] z[2] z[3] 12 2 2 3 12 6 12 5 + q z[1] z[2] z[3] - 3 q z[1] z[2] + q z[1] z[2] z[3] 12 4 2 11 3 3 2 11 3 2 3 + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 3 4 11 2 6 11 2 5 + q z[1] z[2] z[3] + 2 q z[1] z[2] - 4 q z[1] z[2] z[3] 11 2 4 2 10 4 2 3 10 3 5 - 7 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 10 3 4 2 10 3 3 3 10 2 7 + 4 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] + q z[1] z[2] 10 2 6 9 4 3 3 9 4 2 4 + 3 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 9 3 6 9 3 5 2 8 4 5 2 - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 4 7 7 4 6 2 16 2 15 3 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[3] - q z[2] 15 2 15 2 14 2 + 2 q z[2] z[3] + q z[2] z[3] - 2 q z[1] z[2] z[3] 14 2 14 4 13 4 + q z[1] z[2] z[3] - q z[2] + 2 q z[1] z[2] 13 2 2 13 5 13 4 - 5 q z[1] z[2] z[3] + 2 q z[2] - q z[2] z[3] 12 2 3 12 2 2 2 12 2 3 + q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] 12 5 12 4 11 3 2 2 - 3 q z[1] z[2] + 8 q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 3 3 11 2 4 11 2 3 2 + q z[1] z[2] z[3] - 9 q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] 11 2 2 3 11 6 10 3 3 2 + q z[1] z[2] z[3] - 3 q z[1] z[2] - 3 q z[1] z[2] z[3] 10 2 6 10 2 5 10 2 4 2 + 3 q z[1] z[2] - q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 9 4 2 3 9 3 5 9 3 4 2 + q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + 5 q z[1] z[2] z[3] 9 3 3 3 9 2 7 9 2 6 - 2 q z[1] z[2] z[3] + q z[1] z[2] + q z[1] z[2] z[3] 8 4 4 2 8 4 3 3 8 4 2 4 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 8 3 6 8 3 5 2 7 4 5 2 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 4 7 15 15 2 14 3 + q z[1] z[2] z[3] + q z[2] z[3] - q z[3] - 2 q z[2] 14 2 13 2 13 2 + 2 q z[2] z[3] - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 13 4 13 3 12 2 2 12 2 3 + q z[2] - q z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[3] 12 4 12 3 12 2 2 + 2 q z[1] z[2] + 3 q z[1] z[2] z[3] - 5 q z[1] z[2] z[3] 12 5 12 4 11 2 2 2 + 2 q z[2] - q z[2] z[3] + 10 q z[1] z[2] z[3] 11 2 3 11 5 11 4 - 2 q z[1] z[2] z[3] - 4 q z[1] z[2] + 6 q z[1] z[2] z[3] 11 3 2 10 3 2 2 10 2 4 + q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] - 11 q z[1] z[2] z[3] 10 2 3 2 10 6 10 5 + 3 q z[1] z[2] z[3] - 2 q z[1] z[2] - q z[1] z[2] z[3] 9 3 4 9 3 3 2 9 2 6 + q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + 3 q z[1] z[2] 9 2 5 9 2 4 2 8 4 2 3 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 8 3 5 8 3 4 2 8 3 3 3 + 2 q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 4 4 2 7 4 3 3 7 3 7 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] 7 3 6 7 3 5 2 6 4 5 2 - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 5 4 7 14 13 3 13 2 + q z[1] z[2] z[3] + q z[2] z[3] - 3 q z[2] + 2 q z[2] z[3] 12 3 12 2 12 2 + q z[1] z[2] - 7 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 12 4 12 3 11 2 2 11 2 3 + q z[2] - q z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[3] 11 4 11 3 11 2 2 + 2 q z[1] z[2] + 6 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] 11 5 10 2 3 10 2 2 2 + q z[2] - 2 q z[1] z[2] z[3] + 7 q z[1] z[2] z[3] 10 5 10 4 9 3 2 2 - 5 q z[1] z[2] + 3 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 9 2 5 9 2 4 9 6 + q z[1] z[2] - 10 q z[1] z[2] z[3] - q z[1] z[2] 8 3 4 8 2 6 8 2 5 + 2 q z[1] z[2] z[3] + 3 q z[1] z[2] + 2 q z[1] z[2] z[3] 8 2 4 2 7 4 2 3 7 4 4 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 7 3 5 7 3 4 2 6 4 4 2 + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] z[3] 6 3 7 6 3 6 4 4 7 - q z[1] z[2] - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] 13 12 2 12 3 12 2 + q z[2] z[3] + q z[1] z[3] - 3 q z[2] + q z[2] z[3] 11 3 11 2 11 2 + 2 q z[1] z[2] - 7 q z[1] z[2] z[3] - q z[1] z[2] z[3] 11 4 11 3 10 2 2 + 2 q z[2] - q z[2] z[3] + 2 q z[1] z[2] z[3] 10 2 2 10 2 3 10 4 + 3 q z[1] z[2] z[3] - q z[1] z[3] + 2 q z[1] z[2] 10 3 10 5 9 3 2 9 2 4 + 7 q z[1] z[2] z[3] + q z[2] - q z[1] z[2] z[3] - q z[1] z[2] 9 2 3 9 2 2 2 9 5 - 4 q z[1] z[2] z[3] + 4 q z[1] z[2] z[3] - 5 q z[1] z[2] 8 3 2 2 8 3 3 8 2 5 - 3 q z[1] z[2] z[3] + q z[1] z[2] z[3] + q z[1] z[2] 8 2 4 7 3 4 7 3 3 2 - 6 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 7 3 2 3 7 2 6 7 2 5 - q z[1] z[2] z[3] + 3 q z[1] z[2] + 2 q z[1] z[2] z[3] 6 4 3 2 6 4 2 3 6 3 6 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - q z[1] z[2] 6 3 5 6 3 4 2 5 4 4 2 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] z[3] 5 3 7 5 3 6 12 - q z[1] z[2] - 2 q z[1] z[2] z[3] + q z[2] z[3] 11 11 2 11 3 10 3 - 2 q z[1] z[2] z[3] + 2 q z[1] z[3] - 3 q z[2] + 3 q z[1] z[2] 10 2 10 2 10 4 - 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[2] 9 2 2 9 2 2 9 3 + q z[1] z[2] z[3] + 3 q z[1] z[2] z[3] + 6 q z[1] z[2] z[3] 8 3 2 8 2 4 8 2 3 - q z[1] z[2] z[3] - q z[1] z[2] - 6 q z[1] z[2] z[3] 8 2 2 2 8 5 7 3 3 + 3 q z[1] z[2] z[3] - 4 q z[1] z[2] + q z[1] z[2] z[3] 7 3 2 2 7 3 3 7 2 5 - 4 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] + 2 q z[1] z[2] 7 2 4 7 2 3 2 6 3 4 - 4 q z[1] z[2] z[3] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 6 3 3 2 6 2 6 6 2 5 + 2 q z[1] z[2] z[3] + 3 q z[1] z[2] + 2 q z[1] z[2] z[3] 5 4 3 2 5 4 2 3 5 3 6 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - q z[1] z[2] 4 3 7 4 3 6 11 2 11 - q z[1] z[2] - q z[1] z[2] z[3] - q z[2] + 2 q z[2] z[3] 10 10 2 10 3 10 2 - 4 q z[1] z[2] z[3] + q z[1] z[3] - 2 q z[2] - q z[2] z[3] 9 2 9 2 2 9 3 + q z[1] z[2] z[3] + q z[1] z[3] + 4 q z[1] z[2] 9 2 9 4 8 2 2 8 4 - q z[1] z[2] z[3] + 2 q z[2] + q z[1] z[2] z[3] - q z[1] z[2] 8 3 7 3 2 7 2 4 + 3 q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] 7 2 3 7 2 2 2 7 5 - 5 q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] 7 4 6 3 3 6 3 2 2 - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] - 3 q z[1] z[2] z[3] 6 2 5 6 2 4 5 4 3 + 2 q z[1] z[2] - 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] 5 3 4 5 3 3 2 5 2 6 + 2 q z[1] z[2] z[3] + q z[1] z[2] z[3] + 2 q z[1] z[2] 5 2 5 4 4 3 2 4 3 6 11 + q z[1] z[2] z[3] - q z[1] z[2] z[3] - q z[1] z[2] + q z[2] 11 10 2 10 9 2 - q z[3] - 2 q z[2] + q z[2] z[3] + q z[1] z[2] 9 9 3 8 2 8 2 2 - 4 q z[1] z[2] z[3] - q z[2] + q z[1] z[2] z[3] + q z[1] z[3] 8 3 8 4 7 2 3 7 4 + 4 q z[1] z[2] + q z[2] - q z[1] z[2] - 2 q z[1] z[2] 7 3 6 3 2 6 3 3 + 2 q z[1] z[2] z[3] - 2 q z[1] z[2] z[3] + q z[1] z[3] 6 2 4 6 2 3 6 5 - q z[1] z[2] - 4 q z[1] z[2] z[3] - 2 q z[1] z[2] 5 3 3 5 2 5 4 4 2 2 + 2 q z[1] z[2] z[3] + 3 q z[1] z[2] - q z[1] z[2] z[3] 4 4 3 4 2 6 3 3 6 10 + q z[1] z[2] z[3] + q z[1] z[2] - q z[1] z[2] + q z[2] 9 9 2 8 2 8 - q z[1] z[3] - 2 q z[2] + q z[1] z[2] - q z[1] z[2] z[3] 7 2 7 3 7 4 6 2 3 + q z[1] z[2] z[3] + 3 q z[1] z[2] + q z[2] - q z[1] z[2] 6 2 2 6 2 2 6 4 - q z[1] z[2] z[3] + q z[1] z[2] z[3] - 2 q z[1] z[2] 5 3 2 5 3 2 5 2 4 + q z[1] z[2] z[3] - 4 q z[1] z[2] z[3] - q z[1] z[2] 5 2 3 5 5 4 3 3 - 2 q z[1] z[2] z[3] - q z[1] z[2] + 2 q z[1] z[2] z[3] 4 3 2 2 4 2 5 3 4 2 2 + q z[1] z[2] z[3] + 2 q z[1] z[2] - q z[1] z[2] z[3] 2 3 6 4 7 9 8 8 2 - q z[1] z[2] + z[1] z[2] + q z[2] - 2 q z[1] z[3] - 2 q z[2] 7 2 7 6 2 + 2 q z[1] z[2] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 6 2 2 6 3 6 2 5 2 3 - q z[1] z[3] + 2 q z[1] z[2] + q z[1] z[2] z[3] - q z[1] z[2] 5 2 2 5 4 4 3 2 - 3 q z[1] z[2] z[3] - 2 q z[1] z[2] + 2 q z[1] z[2] z[3] 4 3 2 3 2 5 3 6 7 2 - 2 q z[1] z[2] z[3] + 2 q z[1] z[2] - q z[1] z[2] - q z[2] 6 2 6 6 3 5 2 2 + 2 q z[1] z[2] - q z[1] z[2] z[3] + q z[2] - q z[1] z[2] 5 2 5 3 4 3 2 4 2 3 + 3 q z[1] z[2] z[3] + q z[1] z[2] - q z[1] z[3] - q z[1] z[2] 4 2 2 4 4 3 3 2 - 2 q z[1] z[2] z[3] - q z[1] z[2] + 2 q z[1] z[2] z[3] 2 4 2 2 2 5 3 6 8 6 2 - q z[1] z[2] z[3] + q z[1] z[2] - z[1] z[2] + q - q z[2] 5 2 4 2 2 3 3 3 3 2 + 2 q z[1] z[2] - q z[1] z[2] + q z[1] z[2] z[3] - q z[1] z[3] 3 4 2 5 4 2 4 2 - q z[1] z[2] + q z[1] z[2] + 2 q z[1] z[3] + q z[1] z[2] 3 2 2 3 2 2 3 - q z[1] z[2] - q z[1] z[2] z[3] + 2 q z[1] z[2] z[3] 4 3 2 3 2 4 3 + q z[1] z[2] - q z[1] z[2] + q z[1] z[3] - q z[1] + q z[1] z[2] 2 2 3 2 / 6 - q z[1] z[2] + q z[1] z[3] - q z[1] ) / ((q z[2] z[3] - 1) / 8 7 2 (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[3] - 1) (q z[3] - 1) 3 2 3 (q z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) (q z[2] z[3] - 1) 4 5 (q z[2] z[3] - 1) (q z[2] z[3] - 1)) and in Maple input notation: (q^2-z[1])*(q^3-z[1])*(-z[1]+q)*(-1+z[1])*(q^28*z[1]*z[2]^7*z[3]^4+q^26*z[1]^2* z[2]^7*z[3]^4-q^28*z[2]^7*z[3]^3-q^27*z[1]*z[2]^7*z[3]^3+q^27*z[1]*z[2]^6*z[3]^ 4-q^26*z[1]^2*z[2]^6*z[3]^4+q^25*z[1]^2*z[2]^7*z[3]^4-2*q^26*z[1]*z[2]^7*z[3]^3 +q^27*z[2]^7*z[3]^2-q^27*z[2]^6*z[3]^3+q^26*z[1]*z[2]^5*z[3]^4-q^25*z[1]^2*z[2] ^5*z[3]^4-2*q^25*z[1]*z[2]^7*z[3]^3-q^24*z[1]^2*z[2]^7*z[3]^3+q^24*z[1]^2*z[2]^ 6*z[3]^4-q^23*z[1]^3*z[2]^6*z[3]^4+q^26*z[2]^7*z[3]^2+q^25*z[1]*z[2]^7*z[3]^2-2 *q^25*z[1]*z[2]^6*z[3]^3+q^24*z[1]^2*z[2]^6*z[3]^3-q^24*z[1]^2*z[2]^5*z[3]^4+q^ 23*z[1]^3*z[2]^5*z[3]^4-q^23*z[1]^2*z[2]^7*z[3]^3-q^22*z[1]^3*z[2]^6*z[3]^4-q^ 21*z[1]^3*z[2]^7*z[3]^4+q^26*z[2]^6*z[3]^2-q^26*z[2]^5*z[3]^3+q^25*z[1]*z[2]^5* z[3]^3+q^25*z[1]*z[2]^4*z[3]^4+q^25*z[2]^7*z[3]^2-q^24*z[1]^2*z[2]^4*z[3]^4+2*q ^24*z[1]*z[2]^7*z[3]^2-3*q^24*z[1]*z[2]^6*z[3]^3+2*q^23*z[1]^2*z[2]^6*z[3]^3-q^ 21*z[1]^3*z[2]^6*z[3]^4-q^25*z[2]^7*z[3]+2*q^25*z[2]^6*z[3]^2-q^23*z[1]^2*z[2]^ 4*z[3]^4+2*q^23*z[1]*z[2]^7*z[3]^2-q^23*z[1]*z[2]^6*z[3]^3+q^22*z[1]^3*z[2]^4*z [3]^4+q^22*z[1]^2*z[2]^6*z[3]^3+2*q^21*z[1]^2*z[2]^7*z[3]^3+q^20*z[1]^3*z[2]^7* z[3]^3-2*q^20*z[1]^3*z[2]^6*z[3]^4+q^19*z[1]^4*z[2]^6*z[3]^4-q^18*z[1]^4*z[2]^7 *z[3]^4-q^25*z[2]^4*z[3]^3+q^24*z[1]*z[2]^4*z[3]^3+q^24*z[1]*z[2]^3*z[3]^4-q^24 *z[2]^7*z[3]+2*q^24*z[2]^6*z[3]^2-q^23*z[1]^2*z[2]^3*z[3]^4+q^23*z[1]*z[2]^6*z[ 3]^2-2*q^23*z[1]*z[2]^5*z[3]^3+3*q^22*z[1]^2*z[2]^5*z[3]^3-q^22*z[1]^2*z[2]^4*z [3]^4-q^22*z[1]*z[2]^6*z[3]^3+q^21*z[1]^3*z[2]^4*z[3]^4+q^21*z[1]^2*z[2]^6*z[3] ^3-q^20*z[1]^3*z[2]^5*z[3]^4+q^20*z[1]^2*z[2]^7*z[3]^3+2*q^19*z[1]^3*z[2]^7*z[3 ]^3-q^19*z[1]^3*z[2]^6*z[3]^4+q^18*z[1]^4*z[2]^6*z[3]^4-q^24*z[2]^6*z[3]+q^24*z [2]^5*z[3]^2-q^23*z[1]*z[2]^5*z[3]^2+q^23*z[1]*z[2]^4*z[3]^3-q^23*z[2]^7*z[3]+q ^23*z[2]^6*z[3]^2-q^22*z[1]^2*z[2]^4*z[3]^3-q^22*z[1]^2*z[2]^3*z[3]^4-q^22*z[1] *z[2]^7*z[3]+3*q^22*z[1]*z[2]^6*z[3]^2-q^22*z[1]*z[2]^5*z[3]^3+q^21*z[1]^3*z[2] ^3*z[3]^4-q^21*z[1]^2*z[2]^6*z[3]^2+4*q^21*z[1]^2*z[2]^5*z[3]^3-q^21*z[1]^2*z[2 ]^4*z[3]^4-q^21*z[1]*z[2]^7*z[3]^2-q^21*z[1]*z[2]^6*z[3]^3-q^20*z[1]^3*z[2]^5*z [3]^3+2*q^20*z[1]^3*z[2]^4*z[3]^4-2*q^20*z[1]^2*z[2]^7*z[3]^2+3*q^20*z[1]^2*z[2 ]^6*z[3]^3-q^19*z[1]^4*z[2]^4*z[3]^4-q^19*z[1]^3*z[2]^6*z[3]^3-2*q^19*z[1]^3*z[ 2]^5*z[3]^4+q^18*z[1]^4*z[2]^5*z[3]^4+3*q^18*z[1]^3*z[2]^7*z[3]^3-q^24*z[2]^3*z [3]^3+q^23*z[1]*z[2]^3*z[3]^3+q^23*z[1]*z[2]^2*z[3]^4-2*q^23*z[2]^6*z[3]+2*q^23 *z[2]^5*z[3]^2-q^22*z[1]^2*z[2]^2*z[3]^4-3*q^22*z[1]*z[2]^5*z[3]^2+q^22*z[2]^6* z[3]^2-q^21*z[1]^2*z[2]^3*z[3]^4+2*q^21*z[1]*z[2]^6*z[3]^2-q^21*z[1]*z[2]^5*z[3 ]^3+q^20*z[1]^3*z[2]^3*z[3]^4-q^20*z[1]^2*z[2]^6*z[3]^2+5*q^20*z[1]^2*z[2]^5*z[ 3]^3-q^20*z[1]*z[2]^7*z[3]^2-q^20*z[1]*z[2]^6*z[3]^3-q^19*z[1]^3*z[2]^5*z[3]^3+ q^19*z[1]^3*z[2]^4*z[3]^4-4*q^19*z[1]^2*z[2]^7*z[3]^2+q^19*z[1]^2*z[2]^6*z[3]^3 -q^18*z[1]^4*z[2]^4*z[3]^4-2*q^18*z[1]^3*z[2]^5*z[3]^4+2*q^17*z[1]^4*z[2]^5*z[3 ]^4+q^17*z[1]^3*z[2]^7*z[3]^3+q^22*z[1]*z[2]^3*z[3]^3+q^22*z[2]^7-3*q^22*z[2]^6 *z[3]+q^22*z[2]^5*z[3]^2-q^21*z[1]^2*z[2]^3*z[3]^3-q^21*z[1]^2*z[2]^2*z[3]^4-2* q^21*z[1]*z[2]^5*z[3]^2+q^21*z[2]^6*z[3]^2+q^20*z[1]^2*z[2]^4*z[3]^3-2*q^20*z[1 ]^2*z[2]^3*z[3]^4+q^20*z[1]*z[2]^7*z[3]+q^20*z[1]*z[2]^6*z[3]^2-q^20*z[1]*z[2]^ 5*z[3]^3+3*q^19*z[1]^3*z[2]^3*z[3]^4-2*q^19*z[1]^2*z[2]^6*z[3]^2+7*q^19*z[1]^2* z[2]^5*z[3]^3-4*q^18*z[1]^3*z[2]^5*z[3]^3-4*q^18*z[1]^2*z[2]^7*z[3]^2-q^18*z[1] ^2*z[2]^6*z[3]^3-q^17*z[1]^4*z[2]^4*z[3]^4-q^17*z[1]^3*z[2]^7*z[3]^2+3*q^17*z[1 ]^3*z[2]^6*z[3]^3-q^17*z[1]^3*z[2]^5*z[3]^4-q^16*z[1]^4*z[2]^6*z[3]^3+2*q^16*z[ 1]^4*z[2]^5*z[3]^4-q^23*z[2]^2*z[3]^3+q^22*z[1]*z[2]^2*z[3]^3+q^22*z[1]*z[2]*z[ 3]^4+q^22*z[2]^4*z[3]^2-2*q^21*z[1]*z[2]^4*z[3]^2+q^21*z[1]*z[2]^3*z[3]^3-2*q^ 21*z[2]^6*z[3]+q^21*z[2]^5*z[3]^2-q^20*z[1]^2*z[2]^3*z[3]^3-q^20*z[1]^2*z[2]^2* z[3]^4-2*q^20*z[1]*z[2]^5*z[3]^2-q^20*z[1]*z[2]^4*z[3]^3+q^20*z[2]^6*z[3]^2-q^ 19*z[1]^2*z[2]^5*z[3]^2+4*q^19*z[1]^2*z[2]^4*z[3]^3-q^19*z[1]^2*z[2]^3*z[3]^4+2 *q^19*z[1]*z[2]^7*z[3]+2*q^19*z[1]*z[2]^6*z[3]^2-q^19*z[1]*z[2]^5*z[3]^3-q^18*z [1]^3*z[2]^4*z[3]^3+3*q^18*z[1]^3*z[2]^3*z[3]^4+q^18*z[1]^2*z[2]^7*z[3]-5*q^18* z[1]^2*z[2]^6*z[3]^2+6*q^18*z[1]^2*z[2]^5*z[3]^3-q^17*z[1]^4*z[2]^3*z[3]^4+q^17 *z[1]^3*z[2]^6*z[3]^2-5*q^17*z[1]^3*z[2]^5*z[3]^3-q^17*z[1]^3*z[2]^4*z[3]^4-2*q ^17*z[1]^2*z[2]^7*z[3]^2-q^17*z[1]^2*z[2]^6*z[3]^3+q^16*z[1]^4*z[2]^5*z[3]^3-q^ 16*z[1]^4*z[2]^4*z[3]^4-q^16*z[1]^3*z[2]^7*z[3]^2+2*q^16*z[1]^3*z[2]^6*z[3]^3-q ^15*z[1]^4*z[2]^6*z[3]^3+2*q^15*z[1]^4*z[2]^5*z[3]^4-q^14*z[1]^4*z[2]^7*z[3]^3+ q^21*z[1]*z[2]^2*z[3]^3+q^21*z[2]^6-2*q^21*z[2]^5*z[3]+q^21*z[2]^4*z[3]^2-q^20* z[1]^2*z[2]^2*z[3]^3+q^20*z[1]*z[2]^5*z[3]-4*q^20*z[1]*z[2]^4*z[3]^2+2*q^20*z[1 ]*z[2]^3*z[3]^3-2*q^20*z[2]^6*z[3]+q^20*z[2]^5*z[3]^2+q^19*z[1]^2*z[2]^4*z[3]^2 -3*q^19*z[1]^2*z[2]^3*z[3]^3-2*q^19*z[1]^2*z[2]^2*z[3]^4+q^19*z[1]*z[2]^6*z[3]-\ 2*q^19*z[1]*z[2]^5*z[3]^2-q^19*z[1]*z[2]^4*z[3]^3+q^18*z[1]^3*z[2]^3*z[3]^3+q^ 18*z[1]^3*z[2]^2*z[3]^4+7*q^18*z[1]^2*z[2]^4*z[3]^3+2*q^18*z[1]*z[2]^7*z[3]+3*q ^18*z[1]*z[2]^6*z[3]^2-4*q^17*z[1]^3*z[2]^4*z[3]^3+3*q^17*z[1]^3*z[2]^3*z[3]^4+ 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2+2*q^6*z[1]*z[2]^3+q^6*z[1]*z[2]^2*z[3]-q^5*z[1]^2*z[2]^3-3*q^5*z[1]^2*z[2]^2* z[3]-2*q^5*z[1]*z[2]^4+2*q^4*z[1]^3*z[2]^2*z[3]-2*q^4*z[1]^3*z[2]*z[3]^2+2*q^3* z[1]^2*z[2]^5-q*z[1]^3*z[2]^6-q^7*z[2]^2+2*q^6*z[1]*z[2]^2-q^6*z[1]*z[2]*z[3]+q ^6*z[2]^3-q^5*z[1]^2*z[2]^2+3*q^5*z[1]^2*z[2]*z[3]+q^5*z[1]*z[2]^3-q^4*z[1]^3*z [3]^2-q^4*z[1]^2*z[2]^3-2*q^4*z[1]^2*z[2]^2*z[3]-q^4*z[1]*z[2]^4+2*q^3*z[1]^3*z [2]^2*z[3]-q^2*z[1]^4*z[2]*z[3]^2+q^2*z[1]^2*z[2]^5-z[1]^3*z[2]^6+q^8-q^6*z[2]^ 2+2*q^5*z[1]*z[2]^2-q^4*z[1]^2*z[2]^2+q^3*z[1]^3*z[2]*z[3]-q^3*z[1]^3*z[3]^2-q^ 3*z[1]*z[2]^4+q*z[1]^2*z[2]^5+2*q^4*z[1]^2*z[3]+q^4*z[1]*z[2]^2-q^3*z[1]^2*z[2] ^2-q^3*z[1]^2*z[2]*z[3]+2*q^2*z[1]^3*z[2]*z[3]+q^4*z[1]*z[2]-q^3*z[1]^2*z[2]+q^ 3*z[1]^2*z[3]-q^4*z[1]+q^3*z[1]*z[2]-q^2*z[1]^2*z[2]+q*z[1]^3*z[3]-q*z[1]^2)/(q ^6*z[2]*z[3]-1)/(q^8*z[2]*z[3]-1)/(q^7*z[2]*z[3]-1)/(q*z[3]-1)/(q^2*z[3]-1)/(q^ 3*z[3]-1)/(q^2*z[2]*z[3]-1)/(q*z[2]*z[3]-1)/(q^3*z[2]*z[3]-1)/(q^4*z[2]*z[3]-1) /(q^5*z[2]*z[3]-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, 48.187, seconds to generate. 48.217