Home / Data / Gukov-Manolescu series (F_K) for most nice Links up to 9 crossings

Gukov-Manolescu series (F_K) for most nice Links up to 9 crossings

This table contains the first few terms (degree 9 for 2 component, degree 6 for most 3 components) of the Gukov-Manolescu series for links under the column fk_polynomial. The braid and sign diagram used to compute the invariant are listed under braid and sign_diagram.

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knotinfo_id ?
string
KnotInfo identifier 		braid_length ?
int
Length of the braid used for the computation 		braid ?
short_code · Mathematica
Braid word used for the computation 		sign_diagram ?
string
Sign diagram used for the computation (list of sign sequences per component) 		overall_x_powers ?
short_code · Mathematica
Overall x powers per component 		fk_polynomial ?
short_code · Mathematica
First terms of the F_K series (Mathematica format)
L9n16{1} 10 {2,-3,2,3,3,1,1,2,2,1} [[-1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1], [1, 1, 1, 1, 1, 1]] 1 -q^2*x1^2
L9n16{1} 10 {2,-3,2,3,3,1,1,2,2,1} [[-1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1], [1, 1, 1, 1, 1, 1]] 1 q*x2^2-q^2*x1*x2-q^2*x1*x2^2+q^3*x1^2*x2^2
L9n16{1} 10 {2,-3,2,3,3,1,1,2,2,1} [[1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1]] 1 -q^2*x1^2
L9n16{1} 10 {2,-3,2,3,3,1,1,2,2,1} [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1]] 1 q*x2^2-q^2*x1*x2-q^2*x1*x2^2+q^3*x1^2*x2^2
L9n17{0} 9 {-1,-1,-1,2,-1,-2,1,-2,-2} [[-1, -1, -1, -1, 1, 1], [-1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1]] 1 -q^-2*x1*x2-q^-2*x1*x2^2-x1^2*x2-q^-2*x1^2*x2-q*x1^2*x2^2-x1^2*x2^2+q^-1*x1^2*x2^2-q^-2*x1^2*x2^2+q^-3*x1^2*x2^2
L9n17{0} 9 {-1,-1,-1,2,-1,-2,1,-2,-2} [[1, -1, 1, -1, 1, 1], [-1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1]] 1 -q^-2*x1*x2-q^-2*x1*x2^2-x1^2*x2-q^-2*x1^2*x2-q*x1^2*x2^2-x1^2*x2^2+q^-1*x1^2*x2^2-q^-2*x1^2*x2^2+q^-3*x1^2*x2^2
L9n17{1} 10 {-2,3,3,-2,-3,1,-2,-3,-3,1} [[-1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1], [1, -1, 1, -1, 1, -1]] 1 x1^-1*x2^2+q^-2*x1^-1*x2^2-q^-1*x2+x2^2-q^-1*x2^2+q^-2*x2^2-q^-1*x1*x2+2*x1*x2^2-q^-1*x1*x2^2+q^-2*x1*x2^2-q^-1*x1^2*x2+2*x1^2*x2^2+q^-2*x1^2*x2^2
L9n17{1} 10 {-2,3,3,-2,-3,1,-2,-3,-3,1} [[1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1], [1, -1, 1, -1, 1, 1]] 1 x1^-1*x2^2+q^-2*x1^-1*x2^2-q^-1*x2+x2^2-q^-1*x2^2+q^-2*x2^2-q^-1*x1*x2+2*x1*x2^2-q^-1*x1*x2^2+q^-2*x1*x2^2-q^-1*x1^2*x2+2*x1^2*x2^2+q^-2*x1^2*x2^2
L9n18{0} 9 {-1,-2,-2,-2,-1,-2,-2,-2,-1} [[-1, -1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1, -1, -1, -1]] x1^(1/2)*x2^(1/2) -q^-4*x1*x2
L9n18{0} 9 {-1,-2,-2,-2,-1,-2,-2,-2,-1} [[1, -1, -1, -1, -1, -1, -1, -1], [-1, 1, -1, -1, -1, -1, -1, -1, -1, 1]] x1^(1/2)*x2^(1/2) -q^-4*x1*x2
L9n18{1} 10 {2,-3,2,3,1,2,-3,2,3,1} [[-1, 1, 1, -1, -1, -1, -1, -1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, -1]] 1 -x1*x2^-2+q^-2*x1^2*x2^-4
L9n18{1} 10 {2,-3,2,3,1,2,-3,2,3,1} [[-1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, -1, -1, -1, -1, -1, 1, 1, -1]] 1 q^-2*x1^-4*x2^2-x1^-2*x2
L9n18{1} 10 {2,-3,2,3,1,2,-3,2,3,1} [[-1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, -1]] x1^(1/2)*x2^(1/2) q*x1^-1*x2^2-q-q^3*x1*x2+q*x1^2*x2^-1+q^5*x1^2*x2^2-2*q^4*x1^2*x2^2-2*q^3*x1^2*x2^2-2*q^2*x1^2*x2^2-q*x1^2*x2^2+x1^2*x2^2+q^-1*x1^2*x2^2+q^-2*x1^2*x2^2
L9n18{1} 10 {2,-3,2,3,1,2,-3,2,3,1} [[1, 1, 1, -1, -1, -1, -1, -1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]] x1^(1/2)*x2^(1/2) -x1*x2^-2+q^-2*x1^2*x2^-4
L9n18{1} 10 {2,-3,2,3,1,2,-3,2,3,1} [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, -1, -1, -1, -1, -1, 1, 1, 1]] 1 q^-2*x1^-4*x2^2-x1^-2*x2
L9n18{1} 10 {2,-3,2,3,1,2,-3,2,3,1} [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]] 1 q*x1^-1*x2^2-q-q^3*x1*x2+q*x1^2*x2^-1-q^6*x1^2*x2^2-q^5*x1^2*x2^2-q^4*x1^2*x2^2-q^3*x1^2*x2^2-q^2*x1^2*x2^2-q*x1^2*x2^2
L9n19{0} 9 {-1,-2,-2,-1,-1,-2,1,-2,-1} [[-1, -1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1, -1, -1, -1]] x1^(1/2)*x2^(1/2) -q^-3*x1+q^-5*x1^2*x2^2
L9n19{0} 9 {-1,-2,-2,-1,-1,-2,1,-2,-1} [[-1, -1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, 1, 1, 1, 1, 1, -1]] x1^(1/2)*x2^(1/2) x1^-3*x2^2-q^-2*x1^-1*x2
L9n19{0} 9 {-1,-2,-2,-1,-1,-2,1,-2,-1} [[1, -1, -1, -1, 1, -1, -1, -1], [-1, 1, -1, 1, 1, 1, 1, 1, 1, 1]] x1^(1/2)*x2^(1/2) x1^-3*x2^2-q^-2*x1^-1*x2
L9n19{1} 9 {2,2,1,-2,1,2,2,1,1} [[-1, 1, -1, -1, -1, -1, -1, 1, -1, 1], [1, 1, 1, -1, 1, 1, 1, -1]] x1^(1/2)*x2^(1/2) -q*x1*x2^-1+q^-1*x1^2*x2^-3
L9n19{1} 9 {2,2,1,-2,1,2,2,1,1} [[-1, 1, 1, 1, 1, 1, 1, 1, -1, 1], [1, 1, 1, -1, 1, 1, 1, -1]] x1^(1/2)*x2^(1/2) -q^2*x2+q^4*x1^2*x2^2
L9n19{1} 9 {2,2,1,-2,1,2,2,1,1} [[1, 1, -1, -1, -1, -1, -1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1]] x1^(1/2)*x2^(1/2) -q*x1*x2^-1+q^-1*x1^2*x2^-3
L9n19{1} 9 {2,2,1,-2,1,2,2,1,1} [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1]] x1^(1/2)*x2^(1/2) -q^2*x2+q^4*x1^2*x2^2
L6n1{0;0} 6 {1,-2,1,2,-1,2} [[-1, 1, -1, -1], [1, -1, 1, 1], [-1, 1, -1, -1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -x2^-1-q^-2*x1*x2^-2*x3-q^-6*x1^2*x2^-3*x3^2
L6n1{0;0} 6 {1,-2,1,2,-1,2} [[-1, 1, 1, -1], [1, -1, -1, 1], [1, 1, 1, 1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -q^-6*x1^-3*x2^2*x3^-3-q^-2*x1^-2*x2*x3^-2-x1^-1*x3^-1
L6n1{0;0} 6 {1,-2,1,2,-1,2} [[1, 1, -1, -1], [1, 1, 1, 1], [-1, 1, 1, -1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -x2^-1-q^-2*x1*x2^-2*x3-q^-6*x1^2*x2^-3*x3^2
L6n1{0;1} 6 {-1,-2,-1,-2,-1,-2} [[-1, -1, -1, -1], [-1, -1, -1, -1], [-1, -1, -1, -1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -q^-2-q^-4*x1*x2*x3-q^-8*x1^2*x2^2*x3^2
L6n1{0;1} 6 {-1,-2,-1,-2,-1,-2} [[1, -1, -1, -1], [-1, 1, -1, -1], [-1, -1, 1, -1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -q^-2-q^-4*x1*x2*x3-q^-8*x1^2*x2^2*x3^2
L6n1{1;0} 6 {1,-2,1,2,-1,2} [[-1, 1, -1, -1], [1, -1, 1, 1], [-1, 1, -1, -1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -x2^-1-q^-2*x1*x2^-2*x3-q^-6*x1^2*x2^-3*x3^2
L6n1{1;0} 6 {1,-2,1,2,-1,2} [[-1, 1, 1, -1], [1, -1, -1, 1], [1, 1, 1, 1]] 1 -q^-6*x1^-3*x2^2*x3^-3-q^-2*x1^-2*x2*x3^-2-x1^-1*x3^-1
L6n1{1;0} 6 {1,-2,1,2,-1,2} [[1, 1, -1, -1], [1, 1, 1, 1], [-1, 1, 1, -1]] 1 -x2^-1-q^-2*x1*x2^-2*x3-q^-6*x1^2*x2^-3*x3^2
L6n1{1;1} 6 {1,-2,1,2,-1,2} [[-1, 1, -1, -1], [1, -1, 1, 1], [-1, 1, -1, -1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -x2^-1-q^-2*x1*x2^-2*x3-q^-6*x1^2*x2^-3*x3^2
L6n1{1;1} 6 {1,-2,1,2,-1,2} [[-1, 1, 1, -1], [1, -1, -1, 1], [1, 1, 1, 1]] 1 -q^-6*x1^-3*x2^2*x3^-3-q^-2*x1^-2*x2*x3^-2-x1^-1*x3^-1
L6n1{1;1} 6 {1,-2,1,2,-1,2} [[1, 1, -1, -1], [1, 1, 1, 1], [-1, 1, 1, -1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -x2^-1-q^-2*x1*x2^-2*x3-q^-6*x1^2*x2^-3*x3^2
L6a4{0;0} 6 {1,-2,1,-2,1,-2} [[-1, 1, -1, 1], [1, -1, 1, -1], [-1, 1, -1, 1]] 1 -1-x3-x3^2-x2-x2*x3-x2*x3^2-x2^2-x2^2*x3-x2^2*x3^2-x1-x1*x3-x1*x3^2-x1*x2+q^2*x1*x2*x3-3*x1*x2*x3+q^-2*x1*x2*x3+q^3*x1*x2*x3^2+q^2*x1*x2*x3^2-q*x1*x2*x3^2-3*x1*x2*x3^2-q^-1*x1*x2*x3^2+q^-2*x1*x2*x3^2+q^-3*x1*x2*x3^2-x1*x2^2+q^3*x1*x2^2*x3+q^2*x1*x2^2*x3-q*x1*x2^2*x3-3*x1*x2^2*x3-q^-1*x1*x2^2*x3+q^-2*x1*x2^2*x3+q^-3*x1*x2^2*x3+q^4*x1*x2^2*x3^2+2*q^3*x1*x2^2*x3^2+q^2*x1*x2^2*x3^2-2*q*x1*x2^2*x3^2-5*x1*x2^2*x3^2-2*q^-1*x1*x2^2*x3^2+q^-2*x1*x2^2*x3^2+2*q^-3*x1*x2^2*x3^2+q^-4*x1*x2^2*x3^2-x1^2-x1^2*x3-x1^2*x3^2-x1^2*x2+q^3*x1^2*x2*x3+q^2*x1^2*x2*x3-q*x1^2*x2*x3-3*x1^2*x2*x3-q^-1*x1^2*x2*x3+q^-2*x1^2*x2*x3+q^-3*x1^2*x2*x3+q^4*x1^2*x2*x3^2+2*q^3*x1^2*x2*x3^2+q^2*x1^2*x2*x3^2-2*q*x1^2*x2*x3^2-5*x1^2*x2*x3^2-2*q^-1*x1^2*x2*x3^2+q^-2*x1^2*x2*x3^2+2*q^-3*x1^2*x2*x3^2+q^-4*x1^2*x2*x3^2-x1^2*x2^2+q^4*x1^2*x2^2*x3+2*q^3*x1^2*x2^2*x3+q^2*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3-5*x1^2*x2^2*x3-2*q^-1*x1^2*x2^2*x3+q^-2*x1^2*x2^2*x3+2*q^-3*x1^2*x2^2*x3+q^-4*x1^2*x2^2*x3-q^7*x1^2*x2^2*x3^2+q^5*x1^2*x2^2*x3^2+5*q^4*x1^2*x2^2*x3^2+6*q^3*x1^2*x2^2*x3^2+q^2*x1^2*x2^2*x3^2-6*q*x1^2*x2^2*x3^2-13*x1^2*x2^2*x3^2-6*q^-1*x1^2*x2^2*x3^2+q^-2*x1^2*x2^2*x3^2+6*q^-3*x1^2*x2^2*x3^2+5*q^-4*x1^2*x2^2*x3^2+q^-5*x1^2*x2^2*x3^2-q^-7*x1^2*x2^2*x3^2
L6a4{0;0} 6 {1,-2,1,-2,1,-2} [[1, 1, -1, 1], [1, 1, 1, -1], [-1, 1, 1, 1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -1-x3-x3^2-x2-x2*x3-x2*x3^2-x2^2-x2^2*x3-x2^2*x3^2-x1-x1*x3-x1*x3^2-x1*x2+q^2*x1*x2*x3-3*x1*x2*x3+q^-2*x1*x2*x3+q^3*x1*x2*x3^2+q^2*x1*x2*x3^2-q*x1*x2*x3^2-3*x1*x2*x3^2-q^-1*x1*x2*x3^2+q^-2*x1*x2*x3^2+q^-3*x1*x2*x3^2-x1*x2^2+q^3*x1*x2^2*x3+q^2*x1*x2^2*x3-q*x1*x2^2*x3-3*x1*x2^2*x3-q^-1*x1*x2^2*x3+q^-2*x1*x2^2*x3+q^-3*x1*x2^2*x3+q^4*x1*x2^2*x3^2+2*q^3*x1*x2^2*x3^2+q^2*x1*x2^2*x3^2-2*q*x1*x2^2*x3^2-5*x1*x2^2*x3^2-2*q^-1*x1*x2^2*x3^2+q^-2*x1*x2^2*x3^2+2*q^-3*x1*x2^2*x3^2+q^-4*x1*x2^2*x3^2-x1^2-x1^2*x3-x1^2*x3^2-x1^2*x2+q^3*x1^2*x2*x3+q^2*x1^2*x2*x3-q*x1^2*x2*x3-3*x1^2*x2*x3-q^-1*x1^2*x2*x3+q^-2*x1^2*x2*x3+q^-3*x1^2*x2*x3+q^4*x1^2*x2*x3^2+2*q^3*x1^2*x2*x3^2+q^2*x1^2*x2*x3^2-2*q*x1^2*x2*x3^2-5*x1^2*x2*x3^2-2*q^-1*x1^2*x2*x3^2+q^-2*x1^2*x2*x3^2+2*q^-3*x1^2*x2*x3^2+q^-4*x1^2*x2*x3^2-x1^2*x2^2+q^4*x1^2*x2^2*x3+2*q^3*x1^2*x2^2*x3+q^2*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3-5*x1^2*x2^2*x3-2*q^-1*x1^2*x2^2*x3+q^-2*x1^2*x2^2*x3+2*q^-3*x1^2*x2^2*x3+q^-4*x1^2*x2^2*x3-q^7*x1^2*x2^2*x3^2+q^5*x1^2*x2^2*x3^2+5*q^4*x1^2*x2^2*x3^2+6*q^3*x1^2*x2^2*x3^2+q^2*x1^2*x2^2*x3^2-6*q*x1^2*x2^2*x3^2-13*x1^2*x2^2*x3^2-6*q^-1*x1^2*x2^2*x3^2+q^-2*x1^2*x2^2*x3^2+6*q^-3*x1^2*x2^2*x3^2+5*q^-4*x1^2*x2^2*x3^2+q^-5*x1^2*x2^2*x3^2-q^-7*x1^2*x2^2*x3^2
L6a4{0;1} 6 {1,-2,1,-2,1,-2} [[-1, 1, -1, 1], [1, -1, 1, -1], [-1, 1, -1, 1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -1-x3-x3^2-x2-x2*x3-x2*x3^2-x2^2-x2^2*x3-x2^2*x3^2-x1-x1*x3-x1*x3^2-x1*x2+q^2*x1*x2*x3-3*x1*x2*x3+q^-2*x1*x2*x3+q^3*x1*x2*x3^2+q^2*x1*x2*x3^2-q*x1*x2*x3^2-3*x1*x2*x3^2-q^-1*x1*x2*x3^2+q^-2*x1*x2*x3^2+q^-3*x1*x2*x3^2-x1*x2^2+q^3*x1*x2^2*x3+q^2*x1*x2^2*x3-q*x1*x2^2*x3-3*x1*x2^2*x3-q^-1*x1*x2^2*x3+q^-2*x1*x2^2*x3+q^-3*x1*x2^2*x3+q^4*x1*x2^2*x3^2+2*q^3*x1*x2^2*x3^2+q^2*x1*x2^2*x3^2-2*q*x1*x2^2*x3^2-5*x1*x2^2*x3^2-2*q^-1*x1*x2^2*x3^2+q^-2*x1*x2^2*x3^2+2*q^-3*x1*x2^2*x3^2+q^-4*x1*x2^2*x3^2-x1^2-x1^2*x3-x1^2*x3^2-x1^2*x2+q^3*x1^2*x2*x3+q^2*x1^2*x2*x3-q*x1^2*x2*x3-3*x1^2*x2*x3-q^-1*x1^2*x2*x3+q^-2*x1^2*x2*x3+q^-3*x1^2*x2*x3+q^4*x1^2*x2*x3^2+2*q^3*x1^2*x2*x3^2+q^2*x1^2*x2*x3^2-2*q*x1^2*x2*x3^2-5*x1^2*x2*x3^2-2*q^-1*x1^2*x2*x3^2+q^-2*x1^2*x2*x3^2+2*q^-3*x1^2*x2*x3^2+q^-4*x1^2*x2*x3^2-x1^2*x2^2+q^4*x1^2*x2^2*x3+2*q^3*x1^2*x2^2*x3+q^2*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3-5*x1^2*x2^2*x3-2*q^-1*x1^2*x2^2*x3+q^-2*x1^2*x2^2*x3+2*q^-3*x1^2*x2^2*x3+q^-4*x1^2*x2^2*x3-q^7*x1^2*x2^2*x3^2+q^5*x1^2*x2^2*x3^2+5*q^4*x1^2*x2^2*x3^2+6*q^3*x1^2*x2^2*x3^2+q^2*x1^2*x2^2*x3^2-6*q*x1^2*x2^2*x3^2-13*x1^2*x2^2*x3^2-6*q^-1*x1^2*x2^2*x3^2+q^-2*x1^2*x2^2*x3^2+6*q^-3*x1^2*x2^2*x3^2+5*q^-4*x1^2*x2^2*x3^2+q^-5*x1^2*x2^2*x3^2-q^-7*x1^2*x2^2*x3^2
L6a4{0;1} 6 {1,-2,1,-2,1,-2} [[1, 1, -1, 1], [1, 1, 1, -1], [-1, 1, 1, 1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -1-x3-x3^2-x2-x2*x3-x2*x3^2-x2^2-x2^2*x3-x2^2*x3^2-x1-x1*x3-x1*x3^2-x1*x2+q^2*x1*x2*x3-3*x1*x2*x3+q^-2*x1*x2*x3+q^3*x1*x2*x3^2+q^2*x1*x2*x3^2-q*x1*x2*x3^2-3*x1*x2*x3^2-q^-1*x1*x2*x3^2+q^-2*x1*x2*x3^2+q^-3*x1*x2*x3^2-x1*x2^2+q^3*x1*x2^2*x3+q^2*x1*x2^2*x3-q*x1*x2^2*x3-3*x1*x2^2*x3-q^-1*x1*x2^2*x3+q^-2*x1*x2^2*x3+q^-3*x1*x2^2*x3+q^4*x1*x2^2*x3^2+2*q^3*x1*x2^2*x3^2+q^2*x1*x2^2*x3^2-2*q*x1*x2^2*x3^2-5*x1*x2^2*x3^2-2*q^-1*x1*x2^2*x3^2+q^-2*x1*x2^2*x3^2+2*q^-3*x1*x2^2*x3^2+q^-4*x1*x2^2*x3^2-x1^2-x1^2*x3-x1^2*x3^2-x1^2*x2+q^3*x1^2*x2*x3+q^2*x1^2*x2*x3-q*x1^2*x2*x3-3*x1^2*x2*x3-q^-1*x1^2*x2*x3+q^-2*x1^2*x2*x3+q^-3*x1^2*x2*x3+q^4*x1^2*x2*x3^2+2*q^3*x1^2*x2*x3^2+q^2*x1^2*x2*x3^2-2*q*x1^2*x2*x3^2-5*x1^2*x2*x3^2-2*q^-1*x1^2*x2*x3^2+q^-2*x1^2*x2*x3^2+2*q^-3*x1^2*x2*x3^2+q^-4*x1^2*x2*x3^2-x1^2*x2^2+q^4*x1^2*x2^2*x3+2*q^3*x1^2*x2^2*x3+q^2*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3-5*x1^2*x2^2*x3-2*q^-1*x1^2*x2^2*x3+q^-2*x1^2*x2^2*x3+2*q^-3*x1^2*x2^2*x3+q^-4*x1^2*x2^2*x3-q^7*x1^2*x2^2*x3^2+q^5*x1^2*x2^2*x3^2+5*q^4*x1^2*x2^2*x3^2+6*q^3*x1^2*x2^2*x3^2+q^2*x1^2*x2^2*x3^2-6*q*x1^2*x2^2*x3^2-13*x1^2*x2^2*x3^2-6*q^-1*x1^2*x2^2*x3^2+q^-2*x1^2*x2^2*x3^2+6*q^-3*x1^2*x2^2*x3^2+5*q^-4*x1^2*x2^2*x3^2+q^-5*x1^2*x2^2*x3^2-q^-7*x1^2*x2^2*x3^2
L6a4{1;0} 6 {1,-2,1,-2,1,-2} [[-1, 1, -1, 1], [1, -1, 1, -1], [-1, 1, -1, 1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -1-x3-x3^2-x2-x2*x3-x2*x3^2-x2^2-x2^2*x3-x2^2*x3^2-x1-x1*x3-x1*x3^2-x1*x2+q^2*x1*x2*x3-3*x1*x2*x3+q^-2*x1*x2*x3+q^3*x1*x2*x3^2+q^2*x1*x2*x3^2-q*x1*x2*x3^2-3*x1*x2*x3^2-q^-1*x1*x2*x3^2+q^-2*x1*x2*x3^2+q^-3*x1*x2*x3^2-x1*x2^2+q^3*x1*x2^2*x3+q^2*x1*x2^2*x3-q*x1*x2^2*x3-3*x1*x2^2*x3-q^-1*x1*x2^2*x3+q^-2*x1*x2^2*x3+q^-3*x1*x2^2*x3+q^4*x1*x2^2*x3^2+2*q^3*x1*x2^2*x3^2+q^2*x1*x2^2*x3^2-2*q*x1*x2^2*x3^2-5*x1*x2^2*x3^2-2*q^-1*x1*x2^2*x3^2+q^-2*x1*x2^2*x3^2+2*q^-3*x1*x2^2*x3^2+q^-4*x1*x2^2*x3^2-x1^2-x1^2*x3-x1^2*x3^2-x1^2*x2+q^3*x1^2*x2*x3+q^2*x1^2*x2*x3-q*x1^2*x2*x3-3*x1^2*x2*x3-q^-1*x1^2*x2*x3+q^-2*x1^2*x2*x3+q^-3*x1^2*x2*x3+q^4*x1^2*x2*x3^2+2*q^3*x1^2*x2*x3^2+q^2*x1^2*x2*x3^2-2*q*x1^2*x2*x3^2-5*x1^2*x2*x3^2-2*q^-1*x1^2*x2*x3^2+q^-2*x1^2*x2*x3^2+2*q^-3*x1^2*x2*x3^2+q^-4*x1^2*x2*x3^2-x1^2*x2^2+q^4*x1^2*x2^2*x3+2*q^3*x1^2*x2^2*x3+q^2*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3-5*x1^2*x2^2*x3-2*q^-1*x1^2*x2^2*x3+q^-2*x1^2*x2^2*x3+2*q^-3*x1^2*x2^2*x3+q^-4*x1^2*x2^2*x3-q^7*x1^2*x2^2*x3^2+q^5*x1^2*x2^2*x3^2+5*q^4*x1^2*x2^2*x3^2+6*q^3*x1^2*x2^2*x3^2+q^2*x1^2*x2^2*x3^2-6*q*x1^2*x2^2*x3^2-13*x1^2*x2^2*x3^2-6*q^-1*x1^2*x2^2*x3^2+q^-2*x1^2*x2^2*x3^2+6*q^-3*x1^2*x2^2*x3^2+5*q^-4*x1^2*x2^2*x3^2+q^-5*x1^2*x2^2*x3^2-q^-7*x1^2*x2^2*x3^2
L6a4{1;0} 6 {1,-2,1,-2,1,-2} [[1, 1, -1, 1], [1, 1, 1, -1], [-1, 1, 1, 1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -1-x3-x3^2-x2-x2*x3-x2*x3^2-x2^2-x2^2*x3-x2^2*x3^2-x1-x1*x3-x1*x3^2-x1*x2+q^2*x1*x2*x3-3*x1*x2*x3+q^-2*x1*x2*x3+q^3*x1*x2*x3^2+q^2*x1*x2*x3^2-q*x1*x2*x3^2-3*x1*x2*x3^2-q^-1*x1*x2*x3^2+q^-2*x1*x2*x3^2+q^-3*x1*x2*x3^2-x1*x2^2+q^3*x1*x2^2*x3+q^2*x1*x2^2*x3-q*x1*x2^2*x3-3*x1*x2^2*x3-q^-1*x1*x2^2*x3+q^-2*x1*x2^2*x3+q^-3*x1*x2^2*x3+q^4*x1*x2^2*x3^2+2*q^3*x1*x2^2*x3^2+q^2*x1*x2^2*x3^2-2*q*x1*x2^2*x3^2-5*x1*x2^2*x3^2-2*q^-1*x1*x2^2*x3^2+q^-2*x1*x2^2*x3^2+2*q^-3*x1*x2^2*x3^2+q^-4*x1*x2^2*x3^2-x1^2-x1^2*x3-x1^2*x3^2-x1^2*x2+q^3*x1^2*x2*x3+q^2*x1^2*x2*x3-q*x1^2*x2*x3-3*x1^2*x2*x3-q^-1*x1^2*x2*x3+q^-2*x1^2*x2*x3+q^-3*x1^2*x2*x3+q^4*x1^2*x2*x3^2+2*q^3*x1^2*x2*x3^2+q^2*x1^2*x2*x3^2-2*q*x1^2*x2*x3^2-5*x1^2*x2*x3^2-2*q^-1*x1^2*x2*x3^2+q^-2*x1^2*x2*x3^2+2*q^-3*x1^2*x2*x3^2+q^-4*x1^2*x2*x3^2-x1^2*x2^2+q^4*x1^2*x2^2*x3+2*q^3*x1^2*x2^2*x3+q^2*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3-5*x1^2*x2^2*x3-2*q^-1*x1^2*x2^2*x3+q^-2*x1^2*x2^2*x3+2*q^-3*x1^2*x2^2*x3+q^-4*x1^2*x2^2*x3-q^7*x1^2*x2^2*x3^2+q^5*x1^2*x2^2*x3^2+5*q^4*x1^2*x2^2*x3^2+6*q^3*x1^2*x2^2*x3^2+q^2*x1^2*x2^2*x3^2-6*q*x1^2*x2^2*x3^2-13*x1^2*x2^2*x3^2-6*q^-1*x1^2*x2^2*x3^2+q^-2*x1^2*x2^2*x3^2+6*q^-3*x1^2*x2^2*x3^2+5*q^-4*x1^2*x2^2*x3^2+q^-5*x1^2*x2^2*x3^2-q^-7*x1^2*x2^2*x3^2
L6a4{1;1} 6 {1,-2,1,-2,1,-2} [[-1, 1, -1, 1], [1, -1, 1, -1], [-1, 1, -1, 1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -1-x3-x3^2-x2-x2*x3-x2*x3^2-x2^2-x2^2*x3-x2^2*x3^2-x1-x1*x3-x1*x3^2-x1*x2+q^2*x1*x2*x3-3*x1*x2*x3+q^-2*x1*x2*x3+q^3*x1*x2*x3^2+q^2*x1*x2*x3^2-q*x1*x2*x3^2-3*x1*x2*x3^2-q^-1*x1*x2*x3^2+q^-2*x1*x2*x3^2+q^-3*x1*x2*x3^2-x1*x2^2+q^3*x1*x2^2*x3+q^2*x1*x2^2*x3-q*x1*x2^2*x3-3*x1*x2^2*x3-q^-1*x1*x2^2*x3+q^-2*x1*x2^2*x3+q^-3*x1*x2^2*x3+q^4*x1*x2^2*x3^2+2*q^3*x1*x2^2*x3^2+q^2*x1*x2^2*x3^2-2*q*x1*x2^2*x3^2-5*x1*x2^2*x3^2-2*q^-1*x1*x2^2*x3^2+q^-2*x1*x2^2*x3^2+2*q^-3*x1*x2^2*x3^2+q^-4*x1*x2^2*x3^2-x1^2-x1^2*x3-x1^2*x3^2-x1^2*x2+q^3*x1^2*x2*x3+q^2*x1^2*x2*x3-q*x1^2*x2*x3-3*x1^2*x2*x3-q^-1*x1^2*x2*x3+q^-2*x1^2*x2*x3+q^-3*x1^2*x2*x3+q^4*x1^2*x2*x3^2+2*q^3*x1^2*x2*x3^2+q^2*x1^2*x2*x3^2-2*q*x1^2*x2*x3^2-5*x1^2*x2*x3^2-2*q^-1*x1^2*x2*x3^2+q^-2*x1^2*x2*x3^2+2*q^-3*x1^2*x2*x3^2+q^-4*x1^2*x2*x3^2-x1^2*x2^2+q^4*x1^2*x2^2*x3+2*q^3*x1^2*x2^2*x3+q^2*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3-5*x1^2*x2^2*x3-2*q^-1*x1^2*x2^2*x3+q^-2*x1^2*x2^2*x3+2*q^-3*x1^2*x2^2*x3+q^-4*x1^2*x2^2*x3-q^7*x1^2*x2^2*x3^2+q^5*x1^2*x2^2*x3^2+5*q^4*x1^2*x2^2*x3^2+6*q^3*x1^2*x2^2*x3^2+q^2*x1^2*x2^2*x3^2-6*q*x1^2*x2^2*x3^2-13*x1^2*x2^2*x3^2-6*q^-1*x1^2*x2^2*x3^2+q^-2*x1^2*x2^2*x3^2+6*q^-3*x1^2*x2^2*x3^2+5*q^-4*x1^2*x2^2*x3^2+q^-5*x1^2*x2^2*x3^2-q^-7*x1^2*x2^2*x3^2
L6a4{1;1} 6 {1,-2,1,-2,1,-2} [[1, 1, -1, 1], [1, 1, 1, -1], [-1, 1, 1, 1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -1-x3-x3^2-x2-x2*x3-x2*x3^2-x2^2-x2^2*x3-x2^2*x3^2-x1-x1*x3-x1*x3^2-x1*x2+q^2*x1*x2*x3-3*x1*x2*x3+q^-2*x1*x2*x3+q^3*x1*x2*x3^2+q^2*x1*x2*x3^2-q*x1*x2*x3^2-3*x1*x2*x3^2-q^-1*x1*x2*x3^2+q^-2*x1*x2*x3^2+q^-3*x1*x2*x3^2-x1*x2^2+q^3*x1*x2^2*x3+q^2*x1*x2^2*x3-q*x1*x2^2*x3-3*x1*x2^2*x3-q^-1*x1*x2^2*x3+q^-2*x1*x2^2*x3+q^-3*x1*x2^2*x3+q^4*x1*x2^2*x3^2+2*q^3*x1*x2^2*x3^2+q^2*x1*x2^2*x3^2-2*q*x1*x2^2*x3^2-5*x1*x2^2*x3^2-2*q^-1*x1*x2^2*x3^2+q^-2*x1*x2^2*x3^2+2*q^-3*x1*x2^2*x3^2+q^-4*x1*x2^2*x3^2-x1^2-x1^2*x3-x1^2*x3^2-x1^2*x2+q^3*x1^2*x2*x3+q^2*x1^2*x2*x3-q*x1^2*x2*x3-3*x1^2*x2*x3-q^-1*x1^2*x2*x3+q^-2*x1^2*x2*x3+q^-3*x1^2*x2*x3+q^4*x1^2*x2*x3^2+2*q^3*x1^2*x2*x3^2+q^2*x1^2*x2*x3^2-2*q*x1^2*x2*x3^2-5*x1^2*x2*x3^2-2*q^-1*x1^2*x2*x3^2+q^-2*x1^2*x2*x3^2+2*q^-3*x1^2*x2*x3^2+q^-4*x1^2*x2*x3^2-x1^2*x2^2+q^4*x1^2*x2^2*x3+2*q^3*x1^2*x2^2*x3+q^2*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3-5*x1^2*x2^2*x3-2*q^-1*x1^2*x2^2*x3+q^-2*x1^2*x2^2*x3+2*q^-3*x1^2*x2^2*x3+q^-4*x1^2*x2^2*x3-q^7*x1^2*x2^2*x3^2+q^5*x1^2*x2^2*x3^2+5*q^4*x1^2*x2^2*x3^2+6*q^3*x1^2*x2^2*x3^2+q^2*x1^2*x2^2*x3^2-6*q*x1^2*x2^2*x3^2-13*x1^2*x2^2*x3^2-6*q^-1*x1^2*x2^2*x3^2+q^-2*x1^2*x2^2*x3^2+6*q^-3*x1^2*x2^2*x3^2+5*q^-4*x1^2*x2^2*x3^2+q^-5*x1^2*x2^2*x3^2-q^-7*x1^2*x2^2*x3^2
L6a5{0;0} 11 {-2,-3,-3,-2,-3,-1,-2,3,-2,3,1} [[-1, -1, -1, -1, -1, 1, 1, 1, 1, 1], [1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -q^-1*x3^-1+x2*x3^-2-q^-1*x2*x3^-1-q^2*x2^2*x3^-3+q*x2^2*x3^-2+x2^2*x3^-2-q^-1*x2^2*x3^-1+x1*x3^-2-q^-1*x1*x3^-1-q^2*x1*x2*x3^-3-q*x1*x2*x3^-3+2*x1*x2*x3^-2+q^-1*x1*x2*x3^-2-q^-1*x1*x2*x3^-1-q^-2*x1*x2*x3^-1+q^5*x1*x2^2*x3^-4+q^4*x1*x2^2*x3^-4+q^3*x1*x2^2*x3^-4-q^3*x1*x2^2*x3^-3-3*q^2*x1*x2^2*x3^-3-2*q*x1*x2^2*x3^-3-x1*x2^2*x3^-3+q*x1*x2^2*x3^-2+3*x1*x2^2*x3^-2+2*q^-1*x1*x2^2*x3^-2+q^-2*x1*x2^2*x3^-2-q^-1*x1*x2^2*x3^-1-q^-2*x1*x2^2*x3^-1-q^-3*x1*x2^2*x3^-1-q^2*x1^2*x3^-3+q*x1^2*x3^-2+x1^2*x3^-2-q^-1*x1^2*x3^-1+q^5*x1^2*x2*x3^-4+q^4*x1^2*x2*x3^-4+q^3*x1^2*x2*x3^-4-q^3*x1^2*x2*x3^-3-3*q^2*x1^2*x2*x3^-3-2*q*x1^2*x2*x3^-3-x1^2*x2*x3^-3+q*x1^2*x2*x3^-2+3*x1^2*x2*x3^-2+2*q^-1*x1^2*x2*x3^-2+q^-2*x1^2*x2*x3^-2-q^-1*x1^2*x2*x3^-1-q^-2*x1^2*x2*x3^-1-q^-3*x1^2*x2*x3^-1-q^9*x1^2*x2^2*x3^-5-q^8*x1^2*x2^2*x3^-5-2*q^7*x1^2*x2^2*x3^-5-q^6*x1^2*x2^2*x3^-5-q^5*x1^2*x2^2*x3^-5+2*q^6*x1^2*x2^2*x3^-4+4*q^5*x1^2*x2^2*x3^-4+5*q^4*x1^2*x2^2*x3^-4+4*q^3*x1^2*x2^2*x3^-4+2*q^2*x1^2*x2^2*x3^-4+q*x1^2*x2^2*x3^-4-q^4*x1^2*x2^2*x3^-3-3*q^3*x1^2*x2^2*x3^-3-7*q^2*x1^2*x2^2*x3^-3-6*q*x1^2*x2^2*x3^-3-5*x1^2*x2^2*x3^-3-2*q^-1*x1^2*x2^2*x3^-3-q^-2*x1^2*x2^2*x3^-3+2*q*x1^2*x2^2*x3^-2+4*x1^2*x2^2*x3^-2+5*q^-1*x1^2*x2^2*x3^-2+4*q^-2*x1^2*x2^2*x3^-2+2*q^-3*x1^2*x2^2*x3^-2+q^-4*x1^2*x2^2*x3^-2-q^-1*x1^2*x2^2*x3^-1-q^-2*x1^2*x2^2*x3^-1-2*q^-3*x1^2*x2^2*x3^-1-q^-4*x1^2*x2^2*x3^-1-q^-5*x1^2*x2^2*x3^-1
L6a5{0;0} 11 {-2,-3,-3,-2,-3,-1,-2,3,-2,3,1} [[1, -1, -1, -1, -1, 1, 1, 1, 1, 1], [1, -1, -1, -1, -1, 1], [-1, -1, -1, -1, -1, -1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -q^-1*x3^-1+x2*x3^-2-q^-1*x2*x3^-1-q^2*x2^2*x3^-3+q*x2^2*x3^-2+x2^2*x3^-2-q^-1*x2^2*x3^-1+x1*x3^-2-q^-1*x1*x3^-1-q^2*x1*x2*x3^-3-q*x1*x2*x3^-3+2*x1*x2*x3^-2+q^-1*x1*x2*x3^-2-q^-1*x1*x2*x3^-1-q^-2*x1*x2*x3^-1+q^5*x1*x2^2*x3^-4+q^4*x1*x2^2*x3^-4+q^3*x1*x2^2*x3^-4-q^3*x1*x2^2*x3^-3-3*q^2*x1*x2^2*x3^-3-2*q*x1*x2^2*x3^-3-x1*x2^2*x3^-3+q*x1*x2^2*x3^-2+3*x1*x2^2*x3^-2+2*q^-1*x1*x2^2*x3^-2+q^-2*x1*x2^2*x3^-2-q^-1*x1*x2^2*x3^-1-q^-2*x1*x2^2*x3^-1-q^-3*x1*x2^2*x3^-1-q^2*x1^2*x3^-3+q*x1^2*x3^-2+x1^2*x3^-2-q^-1*x1^2*x3^-1+q^5*x1^2*x2*x3^-4+q^4*x1^2*x2*x3^-4+q^3*x1^2*x2*x3^-4-q^3*x1^2*x2*x3^-3-3*q^2*x1^2*x2*x3^-3-2*q*x1^2*x2*x3^-3-x1^2*x2*x3^-3+q*x1^2*x2*x3^-2+3*x1^2*x2*x3^-2+2*q^-1*x1^2*x2*x3^-2+q^-2*x1^2*x2*x3^-2-q^-1*x1^2*x2*x3^-1-q^-2*x1^2*x2*x3^-1-q^-3*x1^2*x2*x3^-1-q^9*x1^2*x2^2*x3^-5-q^8*x1^2*x2^2*x3^-5-2*q^7*x1^2*x2^2*x3^-5-q^6*x1^2*x2^2*x3^-5-q^5*x1^2*x2^2*x3^-5+2*q^6*x1^2*x2^2*x3^-4+4*q^5*x1^2*x2^2*x3^-4+5*q^4*x1^2*x2^2*x3^-4+4*q^3*x1^2*x2^2*x3^-4+2*q^2*x1^2*x2^2*x3^-4+q*x1^2*x2^2*x3^-4-q^4*x1^2*x2^2*x3^-3-3*q^3*x1^2*x2^2*x3^-3-7*q^2*x1^2*x2^2*x3^-3-6*q*x1^2*x2^2*x3^-3-5*x1^2*x2^2*x3^-3-2*q^-1*x1^2*x2^2*x3^-3-q^-2*x1^2*x2^2*x3^-3+2*q*x1^2*x2^2*x3^-2+4*x1^2*x2^2*x3^-2+5*q^-1*x1^2*x2^2*x3^-2+4*q^-2*x1^2*x2^2*x3^-2+2*q^-3*x1^2*x2^2*x3^-2+q^-4*x1^2*x2^2*x3^-2-q^-1*x1^2*x2^2*x3^-1-q^-2*x1^2*x2^2*x3^-1-2*q^-3*x1^2*x2^2*x3^-1-q^-4*x1^2*x2^2*x3^-1-q^-5*x1^2*x2^2*x3^-1
L6a5{0;1} 6 {1,-2,1,1,-2,1} [[-1, 1, -1, 1], [1, -1, 1, -1], [-1, 1, -1, 1]] 1 -q-q*x3-q*x3^2+q^2*x2*x3+q^3*x2*x3^2+q^2*x2*x3^2-q^4*x2^2*x3^2-q*x1-q*x1*x3-x1*x3-q*x1*x3^2-x1*x3^2-q^-1*x1*x3^2+q^2*x1*x2+2*q^2*x1*x2*x3+q*x1*x2*x3+q^3*x1*x2*x3^2+3*q^2*x1*x2*x3^2+2*q*x1*x2*x3^2+x1*x2*x3^2-q^4*x1*x2^2*x3-q^3*x1*x2^2*x3-q^5*x1*x2^2*x3^2-3*q^4*x1*x2^2*x3^2-2*q^3*x1*x2^2*x3^2-q^2*x1*x2^2*x3^2-q*x1^2-q*x1^2*x3-x1^2*x3-q^-1*x1^2*x3-q*x1^2*x3^2-x1^2*x3^2-2*q^-1*x1^2*x3^2-q^-2*x1^2*x3^2-q^-3*x1^2*x3^2+q^3*x1^2*x2+q^2*x1^2*x2+q^3*x1^2*x2*x3+3*q^2*x1^2*x2*x3+2*q*x1^2*x2*x3+x1^2*x2*x3+2*q^3*x1^2*x2*x3^2+4*q^2*x1^2*x2*x3^2+5*q*x1^2*x2*x3^2+4*x1^2*x2*x3^2+2*q^-1*x1^2*x2*x3^2+q^-2*x1^2*x2*x3^2-q^4*x1^2*x2^2-q^5*x1^2*x2^2*x3-3*q^4*x1^2*x2^2*x3-2*q^3*x1^2*x2^2*x3-q^2*x1^2*x2^2*x3-q^6*x1^2*x2^2*x3^2-3*q^5*x1^2*x2^2*x3^2-7*q^4*x1^2*x2^2*x3^2-6*q^3*x1^2*x2^2*x3^2-5*q^2*x1^2*x2^2*x3^2-2*q*x1^2*x2^2*x3^2-x1^2*x2^2*x3^2
L6a5{0;1} 6 {1,-2,1,1,-2,1} [[1, 1, -1, 1], [1, 1, 1, 1], [-1, 1, 1, 1]] 1 -q-q*x3-q*x3^2+q^2*x2*x3+q^3*x2*x3^2+q^2*x2*x3^2-q^4*x2^2*x3^2-q*x1-q*x1*x3-x1*x3-q*x1*x3^2-x1*x3^2-q^-1*x1*x3^2+q^2*x1*x2+2*q^2*x1*x2*x3+q*x1*x2*x3+q^3*x1*x2*x3^2+3*q^2*x1*x2*x3^2+2*q*x1*x2*x3^2+x1*x2*x3^2-q^4*x1*x2^2*x3-q^3*x1*x2^2*x3-q^5*x1*x2^2*x3^2-3*q^4*x1*x2^2*x3^2-2*q^3*x1*x2^2*x3^2-q^2*x1*x2^2*x3^2-q*x1^2-q*x1^2*x3-x1^2*x3-q^-1*x1^2*x3-q*x1^2*x3^2-x1^2*x3^2-2*q^-1*x1^2*x3^2-q^-2*x1^2*x3^2-q^-3*x1^2*x3^2+q^3*x1^2*x2+q^2*x1^2*x2+q^3*x1^2*x2*x3+3*q^2*x1^2*x2*x3+2*q*x1^2*x2*x3+x1^2*x2*x3+2*q^3*x1^2*x2*x3^2+4*q^2*x1^2*x2*x3^2+5*q*x1^2*x2*x3^2+4*x1^2*x2*x3^2+2*q^-1*x1^2*x2*x3^2+q^-2*x1^2*x2*x3^2-q^4*x1^2*x2^2-q^5*x1^2*x2^2*x3-3*q^4*x1^2*x2^2*x3-2*q^3*x1^2*x2^2*x3-q^2*x1^2*x2^2*x3-q^6*x1^2*x2^2*x3^2-3*q^5*x1^2*x2^2*x3^2-7*q^4*x1^2*x2^2*x3^2-6*q^3*x1^2*x2^2*x3^2-5*q^2*x1^2*x2^2*x3^2-2*q*x1^2*x2^2*x3^2-x1^2*x2^2*x3^2
L6a5{1;0} 6 {1,-2,1,1,-2,1} [[-1, 1, -1, 1], [1, -1, 1, -1], [-1, 1, -1, 1]] 1 -q-q*x3-q*x3^2+q^2*x2*x3+q^3*x2*x3^2+q^2*x2*x3^2-q^4*x2^2*x3^2-q*x1-q*x1*x3-x1*x3-q*x1*x3^2-x1*x3^2-q^-1*x1*x3^2+q^2*x1*x2+2*q^2*x1*x2*x3+q*x1*x2*x3+q^3*x1*x2*x3^2+3*q^2*x1*x2*x3^2+2*q*x1*x2*x3^2+x1*x2*x3^2-q^4*x1*x2^2*x3-q^3*x1*x2^2*x3-q^5*x1*x2^2*x3^2-3*q^4*x1*x2^2*x3^2-2*q^3*x1*x2^2*x3^2-q^2*x1*x2^2*x3^2-q*x1^2-q*x1^2*x3-x1^2*x3-q^-1*x1^2*x3-q*x1^2*x3^2-x1^2*x3^2-2*q^-1*x1^2*x3^2-q^-2*x1^2*x3^2-q^-3*x1^2*x3^2+q^3*x1^2*x2+q^2*x1^2*x2+q^3*x1^2*x2*x3+3*q^2*x1^2*x2*x3+2*q*x1^2*x2*x3+x1^2*x2*x3+2*q^3*x1^2*x2*x3^2+4*q^2*x1^2*x2*x3^2+5*q*x1^2*x2*x3^2+4*x1^2*x2*x3^2+2*q^-1*x1^2*x2*x3^2+q^-2*x1^2*x2*x3^2-q^4*x1^2*x2^2-q^5*x1^2*x2^2*x3-3*q^4*x1^2*x2^2*x3-2*q^3*x1^2*x2^2*x3-q^2*x1^2*x2^2*x3-q^6*x1^2*x2^2*x3^2-3*q^5*x1^2*x2^2*x3^2-7*q^4*x1^2*x2^2*x3^2-6*q^3*x1^2*x2^2*x3^2-5*q^2*x1^2*x2^2*x3^2-2*q*x1^2*x2^2*x3^2-x1^2*x2^2*x3^2
L6a5{1;0} 6 {1,-2,1,1,-2,1} [[1, 1, -1, 1], [1, 1, 1, 1], [-1, 1, 1, 1]] 1 -q-q*x3-q*x3^2+q^2*x2*x3+q^3*x2*x3^2+q^2*x2*x3^2-q^4*x2^2*x3^2-q*x1-q*x1*x3-x1*x3-q*x1*x3^2-x1*x3^2-q^-1*x1*x3^2+q^2*x1*x2+2*q^2*x1*x2*x3+q*x1*x2*x3+q^3*x1*x2*x3^2+3*q^2*x1*x2*x3^2+2*q*x1*x2*x3^2+x1*x2*x3^2-q^4*x1*x2^2*x3-q^3*x1*x2^2*x3-q^5*x1*x2^2*x3^2-3*q^4*x1*x2^2*x3^2-2*q^3*x1*x2^2*x3^2-q^2*x1*x2^2*x3^2-q*x1^2-q*x1^2*x3-x1^2*x3-q^-1*x1^2*x3-q*x1^2*x3^2-x1^2*x3^2-2*q^-1*x1^2*x3^2-q^-2*x1^2*x3^2-q^-3*x1^2*x3^2+q^3*x1^2*x2+q^2*x1^2*x2+q^3*x1^2*x2*x3+3*q^2*x1^2*x2*x3+2*q*x1^2*x2*x3+x1^2*x2*x3+2*q^3*x1^2*x2*x3^2+4*q^2*x1^2*x2*x3^2+5*q*x1^2*x2*x3^2+4*x1^2*x2*x3^2+2*q^-1*x1^2*x2*x3^2+q^-2*x1^2*x2*x3^2-q^4*x1^2*x2^2-q^5*x1^2*x2^2*x3-3*q^4*x1^2*x2^2*x3-2*q^3*x1^2*x2^2*x3-q^2*x1^2*x2^2*x3-q^6*x1^2*x2^2*x3^2-3*q^5*x1^2*x2^2*x3^2-7*q^4*x1^2*x2^2*x3^2-6*q^3*x1^2*x2^2*x3^2-5*q^2*x1^2*x2^2*x3^2-2*q*x1^2*x2^2*x3^2-x1^2*x2^2*x3^2
L6a5{1;1} 6 {1,-2,1,1,-2,1} [[-1, 1, -1, 1], [1, -1, 1, -1], [-1, 1, -1, 1]] 1 -q-q*x3-q*x3^2+q^2*x2*x3+q^3*x2*x3^2+q^2*x2*x3^2-q^4*x2^2*x3^2-q*x1-q*x1*x3-x1*x3-q*x1*x3^2-x1*x3^2-q^-1*x1*x3^2+q^2*x1*x2+2*q^2*x1*x2*x3+q*x1*x2*x3+q^3*x1*x2*x3^2+3*q^2*x1*x2*x3^2+2*q*x1*x2*x3^2+x1*x2*x3^2-q^4*x1*x2^2*x3-q^3*x1*x2^2*x3-q^5*x1*x2^2*x3^2-3*q^4*x1*x2^2*x3^2-2*q^3*x1*x2^2*x3^2-q^2*x1*x2^2*x3^2-q*x1^2-q*x1^2*x3-x1^2*x3-q^-1*x1^2*x3-q*x1^2*x3^2-x1^2*x3^2-2*q^-1*x1^2*x3^2-q^-2*x1^2*x3^2-q^-3*x1^2*x3^2+q^3*x1^2*x2+q^2*x1^2*x2+q^3*x1^2*x2*x3+3*q^2*x1^2*x2*x3+2*q*x1^2*x2*x3+x1^2*x2*x3+2*q^3*x1^2*x2*x3^2+4*q^2*x1^2*x2*x3^2+5*q*x1^2*x2*x3^2+4*x1^2*x2*x3^2+2*q^-1*x1^2*x2*x3^2+q^-2*x1^2*x2*x3^2-q^4*x1^2*x2^2-q^5*x1^2*x2^2*x3-3*q^4*x1^2*x2^2*x3-2*q^3*x1^2*x2^2*x3-q^2*x1^2*x2^2*x3-q^6*x1^2*x2^2*x3^2-3*q^5*x1^2*x2^2*x3^2-7*q^4*x1^2*x2^2*x3^2-6*q^3*x1^2*x2^2*x3^2-5*q^2*x1^2*x2^2*x3^2-2*q*x1^2*x2^2*x3^2-x1^2*x2^2*x3^2
L6a5{1;1} 6 {1,-2,1,1,-2,1} [[1, 1, -1, 1], [1, 1, 1, 1], [-1, 1, 1, 1]] 1 -q-q*x3-q*x3^2+q^2*x2*x3+q^3*x2*x3^2+q^2*x2*x3^2-q^4*x2^2*x3^2-q*x1-q*x1*x3-x1*x3-q*x1*x3^2-x1*x3^2-q^-1*x1*x3^2+q^2*x1*x2+2*q^2*x1*x2*x3+q*x1*x2*x3+q^3*x1*x2*x3^2+3*q^2*x1*x2*x3^2+2*q*x1*x2*x3^2+x1*x2*x3^2-q^4*x1*x2^2*x3-q^3*x1*x2^2*x3-q^5*x1*x2^2*x3^2-3*q^4*x1*x2^2*x3^2-2*q^3*x1*x2^2*x3^2-q^2*x1*x2^2*x3^2-q*x1^2-q*x1^2*x3-x1^2*x3-q^-1*x1^2*x3-q*x1^2*x3^2-x1^2*x3^2-2*q^-1*x1^2*x3^2-q^-2*x1^2*x3^2-q^-3*x1^2*x3^2+q^3*x1^2*x2+q^2*x1^2*x2+q^3*x1^2*x2*x3+3*q^2*x1^2*x2*x3+2*q*x1^2*x2*x3+x1^2*x2*x3+2*q^3*x1^2*x2*x3^2+4*q^2*x1^2*x2*x3^2+5*q*x1^2*x2*x3^2+4*x1^2*x2*x3^2+2*q^-1*x1^2*x2*x3^2+q^-2*x1^2*x2*x3^2-q^4*x1^2*x2^2-q^5*x1^2*x2^2*x3-3*q^4*x1^2*x2^2*x3-2*q^3*x1^2*x2^2*x3-q^2*x1^2*x2^2*x3-q^6*x1^2*x2^2*x3^2-3*q^5*x1^2*x2^2*x3^2-7*q^4*x1^2*x2^2*x3^2-6*q^3*x1^2*x2^2*x3^2-5*q^2*x1^2*x2^2*x3^2-2*q*x1^2*x2^2*x3^2-x1^2*x2^2*x3^2
L7a7{0;0} 7 {-1,2,2,-1,-3,2,-3} [[-1, -1, 1, -1], [-1, -1, -1, 1, -1, 1], [1, -1, 1, -1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -1-x3-x3^2-2*x2-2*x2*x3-q^-1*x2*x3-2*x2*x3^2-q^-1*x2*x3^2-q^-2*x2*x3^2-q*x2^2-3*x2^2-q*x2^2*x3-4*x2^2*x3-2*q^-1*x2^2*x3-q^-2*x2^2*x3-q*x2^2*x3^2-4*x2^2*x3^2-3*q^-1*x2^2*x3^2-3*q^-2*x2^2*x3^2-q^-3*x2^2*x3^2-q^-4*x2^2*x3^2-x1+q*x1*x3-x1*x3+q^2*x1*x3^2+q*x1*x3^2-x1*x3^2-2*x1*x2-q^-1*x1*x2+q^2*x1*x2*x3+2*q*x1*x2*x3-2*x1*x2*x3-2*q^-1*x1*x2*x3+q^3*x1*x2*x3^2+3*q^2*x1*x2*x3^2+3*q*x1*x2*x3^2-x1*x2*x3^2-2*q^-1*x1*x2*x3^2-q^-2*x1*x2*x3^2-q*x1*x2^2-4*x1*x2^2-2*q^-1*x1*x2^2-q^-2*x1*x2^2+2*q^3*x1*x2^2*x3+3*q^2*x1*x2^2*x3+2*q*x1*x2^2*x3-5*x1*x2^2*x3-5*q^-1*x1*x2^2*x3-3*q^-2*x1*x2^2*x3+2*q^4*x1*x2^2*x3^2+5*q^3*x1*x2^2*x3^2+8*q^2*x1*x2^2*x3^2+6*q*x1*x2^2*x3^2-2*x1*x2^2*x3^2-5*q^-1*x1*x2^2*x3^2-6*q^-2*x1*x2^2*x3^2-2*q^-3*x1*x2^2*x3^2-q^-4*x1*x2^2*x3^2-x1^2+q^2*x1^2*x3+q*x1^2*x3-x1^2*x3+2*q^2*x1^2*x3^2+q*x1^2*x3^2-x1^2*x3^2-2*x1^2*x2-q^-1*x1^2*x2-q^-2*x1^2*x2+q^3*x1^2*x2*x3+3*q^2*x1^2*x2*x3+3*q*x1^2*x2*x3-x1^2*x2*x3-2*q^-1*x1^2*x2*x3-q^-2*x1^2*x2*x3-q^5*x1^2*x2*x3^2+2*q^3*x1^2*x2*x3^2+7*q^2*x1^2*x2*x3^2+6*q*x1^2*x2*x3^2-2*q^-1*x1^2*x2*x3^2-2*q^-2*x1^2*x2*x3^2-q*x1^2*x2^2-4*x1^2*x2^2-3*q^-1*x1^2*x2^2-3*q^-2*x1^2*x2^2-q^-3*x1^2*x2^2-q^-4*x1^2*x2^2+2*q^4*x1^2*x2^2*x3+5*q^3*x1^2*x2^2*x3+8*q^2*x1^2*x2^2*x3+6*q*x1^2*x2^2*x3-2*x1^2*x2^2*x3-5*q^-1*x1^2*x2^2*x3-6*q^-2*x1^2*x2^2*x3-2*q^-3*x1^2*x2^2*x3-q^-4*x1^2*x2^2*x3-q^7*x1^2*x2^2*x3^2-2*q^6*x1^2*x2^2*x3^2-2*q^5*x1^2*x2^2*x3^2+4*q^4*x1^2*x2^2*x3^2+12*q^3*x1^2*x2^2*x3^2+21*q^2*x1^2*x2^2*x3^2+18*q*x1^2*x2^2*x3^2+6*x1^2*x2^2*x3^2-4*q^-1*x1^2*x2^2*x3^2-9*q^-2*x1^2*x2^2*x3^2-5*q^-3*x1^2*x2^2*x3^2-3*q^-4*x1^2*x2^2*x3^2
L7a7{0;0} 7 {-1,2,2,-1,-3,2,-3} [[1, -1, 1, -1], [-1, 1, -1, 1, -1, 1], [1, -1, 1, -1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -1-x3-x3^2-2*x2-2*x2*x3-q^-1*x2*x3-2*x2*x3^2-q^-1*x2*x3^2-q^-2*x2*x3^2-q*x2^2-3*x2^2-q*x2^2*x3-4*x2^2*x3-2*q^-1*x2^2*x3-q^-2*x2^2*x3-q*x2^2*x3^2-4*x2^2*x3^2-3*q^-1*x2^2*x3^2-3*q^-2*x2^2*x3^2-q^-3*x2^2*x3^2-q^-4*x2^2*x3^2-x1+q*x1*x3-x1*x3+q^2*x1*x3^2+q*x1*x3^2-x1*x3^2-2*x1*x2-q^-1*x1*x2+q^2*x1*x2*x3+2*q*x1*x2*x3-2*x1*x2*x3-2*q^-1*x1*x2*x3+q^3*x1*x2*x3^2+3*q^2*x1*x2*x3^2+3*q*x1*x2*x3^2-x1*x2*x3^2-2*q^-1*x1*x2*x3^2-q^-2*x1*x2*x3^2-q*x1*x2^2-4*x1*x2^2-2*q^-1*x1*x2^2-q^-2*x1*x2^2+2*q^3*x1*x2^2*x3+3*q^2*x1*x2^2*x3+2*q*x1*x2^2*x3-5*x1*x2^2*x3-5*q^-1*x1*x2^2*x3-3*q^-2*x1*x2^2*x3+2*q^4*x1*x2^2*x3^2+5*q^3*x1*x2^2*x3^2+8*q^2*x1*x2^2*x3^2+6*q*x1*x2^2*x3^2-2*x1*x2^2*x3^2-5*q^-1*x1*x2^2*x3^2-6*q^-2*x1*x2^2*x3^2-2*q^-3*x1*x2^2*x3^2-q^-4*x1*x2^2*x3^2-x1^2+q^2*x1^2*x3+q*x1^2*x3-x1^2*x3+2*q^2*x1^2*x3^2+q*x1^2*x3^2-x1^2*x3^2-2*x1^2*x2-q^-1*x1^2*x2-q^-2*x1^2*x2+q^3*x1^2*x2*x3+3*q^2*x1^2*x2*x3+3*q*x1^2*x2*x3-x1^2*x2*x3-2*q^-1*x1^2*x2*x3-q^-2*x1^2*x2*x3-q^5*x1^2*x2*x3^2+2*q^3*x1^2*x2*x3^2+7*q^2*x1^2*x2*x3^2+6*q*x1^2*x2*x3^2-2*q^-1*x1^2*x2*x3^2-2*q^-2*x1^2*x2*x3^2-q*x1^2*x2^2-4*x1^2*x2^2-3*q^-1*x1^2*x2^2-3*q^-2*x1^2*x2^2-q^-3*x1^2*x2^2-q^-4*x1^2*x2^2+2*q^4*x1^2*x2^2*x3+5*q^3*x1^2*x2^2*x3+8*q^2*x1^2*x2^2*x3+6*q*x1^2*x2^2*x3-2*x1^2*x2^2*x3-5*q^-1*x1^2*x2^2*x3-6*q^-2*x1^2*x2^2*x3-2*q^-3*x1^2*x2^2*x3-q^-4*x1^2*x2^2*x3-q^7*x1^2*x2^2*x3^2-2*q^6*x1^2*x2^2*x3^2-2*q^5*x1^2*x2^2*x3^2+4*q^4*x1^2*x2^2*x3^2+12*q^3*x1^2*x2^2*x3^2+21*q^2*x1^2*x2^2*x3^2+18*q*x1^2*x2^2*x3^2+6*x1^2*x2^2*x3^2-4*q^-1*x1^2*x2^2*x3^2-9*q^-2*x1^2*x2^2*x3^2-5*q^-3*x1^2*x2^2*x3^2-3*q^-4*x1^2*x2^2*x3^2
L7a7{0;1} 7 {-1,2,2,-1,-3,2,-3} [[-1, -1, 1, -1], [-1, -1, -1, 1, -1, 1], [1, -1, 1, -1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -1-x3-x3^2-2*x2-2*x2*x3-q^-1*x2*x3-2*x2*x3^2-q^-1*x2*x3^2-q^-2*x2*x3^2-q*x2^2-3*x2^2-q*x2^2*x3-4*x2^2*x3-2*q^-1*x2^2*x3-q^-2*x2^2*x3-q*x2^2*x3^2-4*x2^2*x3^2-3*q^-1*x2^2*x3^2-3*q^-2*x2^2*x3^2-q^-3*x2^2*x3^2-q^-4*x2^2*x3^2-x1+q*x1*x3-x1*x3+q^2*x1*x3^2+q*x1*x3^2-x1*x3^2-2*x1*x2-q^-1*x1*x2+q^2*x1*x2*x3+2*q*x1*x2*x3-2*x1*x2*x3-2*q^-1*x1*x2*x3+q^3*x1*x2*x3^2+3*q^2*x1*x2*x3^2+3*q*x1*x2*x3^2-x1*x2*x3^2-2*q^-1*x1*x2*x3^2-q^-2*x1*x2*x3^2-q*x1*x2^2-4*x1*x2^2-2*q^-1*x1*x2^2-q^-2*x1*x2^2+2*q^3*x1*x2^2*x3+3*q^2*x1*x2^2*x3+2*q*x1*x2^2*x3-5*x1*x2^2*x3-5*q^-1*x1*x2^2*x3-3*q^-2*x1*x2^2*x3+2*q^4*x1*x2^2*x3^2+5*q^3*x1*x2^2*x3^2+8*q^2*x1*x2^2*x3^2+6*q*x1*x2^2*x3^2-2*x1*x2^2*x3^2-5*q^-1*x1*x2^2*x3^2-6*q^-2*x1*x2^2*x3^2-2*q^-3*x1*x2^2*x3^2-q^-4*x1*x2^2*x3^2-x1^2+q^2*x1^2*x3+q*x1^2*x3-x1^2*x3+2*q^2*x1^2*x3^2+q*x1^2*x3^2-x1^2*x3^2-2*x1^2*x2-q^-1*x1^2*x2-q^-2*x1^2*x2+q^3*x1^2*x2*x3+3*q^2*x1^2*x2*x3+3*q*x1^2*x2*x3-x1^2*x2*x3-2*q^-1*x1^2*x2*x3-q^-2*x1^2*x2*x3-q^5*x1^2*x2*x3^2+2*q^3*x1^2*x2*x3^2+7*q^2*x1^2*x2*x3^2+6*q*x1^2*x2*x3^2-2*q^-1*x1^2*x2*x3^2-2*q^-2*x1^2*x2*x3^2-q*x1^2*x2^2-4*x1^2*x2^2-3*q^-1*x1^2*x2^2-3*q^-2*x1^2*x2^2-q^-3*x1^2*x2^2-q^-4*x1^2*x2^2+2*q^4*x1^2*x2^2*x3+5*q^3*x1^2*x2^2*x3+8*q^2*x1^2*x2^2*x3+6*q*x1^2*x2^2*x3-2*x1^2*x2^2*x3-5*q^-1*x1^2*x2^2*x3-6*q^-2*x1^2*x2^2*x3-2*q^-3*x1^2*x2^2*x3-q^-4*x1^2*x2^2*x3-q^7*x1^2*x2^2*x3^2-2*q^6*x1^2*x2^2*x3^2-2*q^5*x1^2*x2^2*x3^2+4*q^4*x1^2*x2^2*x3^2+12*q^3*x1^2*x2^2*x3^2+21*q^2*x1^2*x2^2*x3^2+18*q*x1^2*x2^2*x3^2+6*x1^2*x2^2*x3^2-4*q^-1*x1^2*x2^2*x3^2-9*q^-2*x1^2*x2^2*x3^2-5*q^-3*x1^2*x2^2*x3^2-3*q^-4*x1^2*x2^2*x3^2
L7a7{0;1} 7 {-1,2,2,-1,-3,2,-3} [[1, -1, 1, -1], [-1, 1, -1, 1, -1, 1], [1, -1, 1, -1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -1-x3-x3^2-2*x2-2*x2*x3-q^-1*x2*x3-2*x2*x3^2-q^-1*x2*x3^2-q^-2*x2*x3^2-q*x2^2-3*x2^2-q*x2^2*x3-4*x2^2*x3-2*q^-1*x2^2*x3-q^-2*x2^2*x3-q*x2^2*x3^2-4*x2^2*x3^2-3*q^-1*x2^2*x3^2-3*q^-2*x2^2*x3^2-q^-3*x2^2*x3^2-q^-4*x2^2*x3^2-x1+q*x1*x3-x1*x3+q^2*x1*x3^2+q*x1*x3^2-x1*x3^2-2*x1*x2-q^-1*x1*x2+q^2*x1*x2*x3+2*q*x1*x2*x3-2*x1*x2*x3-2*q^-1*x1*x2*x3+q^3*x1*x2*x3^2+3*q^2*x1*x2*x3^2+3*q*x1*x2*x3^2-x1*x2*x3^2-2*q^-1*x1*x2*x3^2-q^-2*x1*x2*x3^2-q*x1*x2^2-4*x1*x2^2-2*q^-1*x1*x2^2-q^-2*x1*x2^2+2*q^3*x1*x2^2*x3+3*q^2*x1*x2^2*x3+2*q*x1*x2^2*x3-5*x1*x2^2*x3-5*q^-1*x1*x2^2*x3-3*q^-2*x1*x2^2*x3+2*q^4*x1*x2^2*x3^2+5*q^3*x1*x2^2*x3^2+8*q^2*x1*x2^2*x3^2+6*q*x1*x2^2*x3^2-2*x1*x2^2*x3^2-5*q^-1*x1*x2^2*x3^2-6*q^-2*x1*x2^2*x3^2-2*q^-3*x1*x2^2*x3^2-q^-4*x1*x2^2*x3^2-x1^2+q^2*x1^2*x3+q*x1^2*x3-x1^2*x3+2*q^2*x1^2*x3^2+q*x1^2*x3^2-x1^2*x3^2-2*x1^2*x2-q^-1*x1^2*x2-q^-2*x1^2*x2+q^3*x1^2*x2*x3+3*q^2*x1^2*x2*x3+3*q*x1^2*x2*x3-x1^2*x2*x3-2*q^-1*x1^2*x2*x3-q^-2*x1^2*x2*x3-q^5*x1^2*x2*x3^2+2*q^3*x1^2*x2*x3^2+7*q^2*x1^2*x2*x3^2+6*q*x1^2*x2*x3^2-2*q^-1*x1^2*x2*x3^2-2*q^-2*x1^2*x2*x3^2-q*x1^2*x2^2-4*x1^2*x2^2-3*q^-1*x1^2*x2^2-3*q^-2*x1^2*x2^2-q^-3*x1^2*x2^2-q^-4*x1^2*x2^2+2*q^4*x1^2*x2^2*x3+5*q^3*x1^2*x2^2*x3+8*q^2*x1^2*x2^2*x3+6*q*x1^2*x2^2*x3-2*x1^2*x2^2*x3-5*q^-1*x1^2*x2^2*x3-6*q^-2*x1^2*x2^2*x3-2*q^-3*x1^2*x2^2*x3-q^-4*x1^2*x2^2*x3-q^7*x1^2*x2^2*x3^2-2*q^6*x1^2*x2^2*x3^2-2*q^5*x1^2*x2^2*x3^2+4*q^4*x1^2*x2^2*x3^2+12*q^3*x1^2*x2^2*x3^2+21*q^2*x1^2*x2^2*x3^2+18*q*x1^2*x2^2*x3^2+6*x1^2*x2^2*x3^2-4*q^-1*x1^2*x2^2*x3^2-9*q^-2*x1^2*x2^2*x3^2-5*q^-3*x1^2*x2^2*x3^2-3*q^-4*x1^2*x2^2*x3^2
L7a7{1;0} 7 {-1,2,2,-1,-3,2,-3} [[-1, -1, 1, -1], [-1, -1, -1, 1, -1, 1], [1, -1, 1, -1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -1-x3-x3^2-2*x2-2*x2*x3-q^-1*x2*x3-2*x2*x3^2-q^-1*x2*x3^2-q^-2*x2*x3^2-q*x2^2-3*x2^2-q*x2^2*x3-4*x2^2*x3-2*q^-1*x2^2*x3-q^-2*x2^2*x3-q*x2^2*x3^2-4*x2^2*x3^2-3*q^-1*x2^2*x3^2-3*q^-2*x2^2*x3^2-q^-3*x2^2*x3^2-q^-4*x2^2*x3^2-x1+q*x1*x3-x1*x3+q^2*x1*x3^2+q*x1*x3^2-x1*x3^2-2*x1*x2-q^-1*x1*x2+q^2*x1*x2*x3+2*q*x1*x2*x3-2*x1*x2*x3-2*q^-1*x1*x2*x3+q^3*x1*x2*x3^2+3*q^2*x1*x2*x3^2+3*q*x1*x2*x3^2-x1*x2*x3^2-2*q^-1*x1*x2*x3^2-q^-2*x1*x2*x3^2-q*x1*x2^2-4*x1*x2^2-2*q^-1*x1*x2^2-q^-2*x1*x2^2+2*q^3*x1*x2^2*x3+3*q^2*x1*x2^2*x3+2*q*x1*x2^2*x3-5*x1*x2^2*x3-5*q^-1*x1*x2^2*x3-3*q^-2*x1*x2^2*x3+2*q^4*x1*x2^2*x3^2+5*q^3*x1*x2^2*x3^2+8*q^2*x1*x2^2*x3^2+6*q*x1*x2^2*x3^2-2*x1*x2^2*x3^2-5*q^-1*x1*x2^2*x3^2-6*q^-2*x1*x2^2*x3^2-2*q^-3*x1*x2^2*x3^2-q^-4*x1*x2^2*x3^2-x1^2+q^2*x1^2*x3+q*x1^2*x3-x1^2*x3+2*q^2*x1^2*x3^2+q*x1^2*x3^2-x1^2*x3^2-2*x1^2*x2-q^-1*x1^2*x2-q^-2*x1^2*x2+q^3*x1^2*x2*x3+3*q^2*x1^2*x2*x3+3*q*x1^2*x2*x3-x1^2*x2*x3-2*q^-1*x1^2*x2*x3-q^-2*x1^2*x2*x3-q^5*x1^2*x2*x3^2+2*q^3*x1^2*x2*x3^2+7*q^2*x1^2*x2*x3^2+6*q*x1^2*x2*x3^2-2*q^-1*x1^2*x2*x3^2-2*q^-2*x1^2*x2*x3^2-q*x1^2*x2^2-4*x1^2*x2^2-3*q^-1*x1^2*x2^2-3*q^-2*x1^2*x2^2-q^-3*x1^2*x2^2-q^-4*x1^2*x2^2+2*q^4*x1^2*x2^2*x3+5*q^3*x1^2*x2^2*x3+8*q^2*x1^2*x2^2*x3+6*q*x1^2*x2^2*x3-2*x1^2*x2^2*x3-5*q^-1*x1^2*x2^2*x3-6*q^-2*x1^2*x2^2*x3-2*q^-3*x1^2*x2^2*x3-q^-4*x1^2*x2^2*x3-q^7*x1^2*x2^2*x3^2-2*q^6*x1^2*x2^2*x3^2-2*q^5*x1^2*x2^2*x3^2+4*q^4*x1^2*x2^2*x3^2+12*q^3*x1^2*x2^2*x3^2+21*q^2*x1^2*x2^2*x3^2+18*q*x1^2*x2^2*x3^2+6*x1^2*x2^2*x3^2-4*q^-1*x1^2*x2^2*x3^2-9*q^-2*x1^2*x2^2*x3^2-5*q^-3*x1^2*x2^2*x3^2-3*q^-4*x1^2*x2^2*x3^2
L7a7{1;0} 7 {-1,2,2,-1,-3,2,-3} [[1, -1, 1, -1], [-1, 1, -1, 1, -1, 1], [1, -1, 1, -1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -1-x3-x3^2-2*x2-2*x2*x3-q^-1*x2*x3-2*x2*x3^2-q^-1*x2*x3^2-q^-2*x2*x3^2-q*x2^2-3*x2^2-q*x2^2*x3-4*x2^2*x3-2*q^-1*x2^2*x3-q^-2*x2^2*x3-q*x2^2*x3^2-4*x2^2*x3^2-3*q^-1*x2^2*x3^2-3*q^-2*x2^2*x3^2-q^-3*x2^2*x3^2-q^-4*x2^2*x3^2-x1+q*x1*x3-x1*x3+q^2*x1*x3^2+q*x1*x3^2-x1*x3^2-2*x1*x2-q^-1*x1*x2+q^2*x1*x2*x3+2*q*x1*x2*x3-2*x1*x2*x3-2*q^-1*x1*x2*x3+q^3*x1*x2*x3^2+3*q^2*x1*x2*x3^2+3*q*x1*x2*x3^2-x1*x2*x3^2-2*q^-1*x1*x2*x3^2-q^-2*x1*x2*x3^2-q*x1*x2^2-4*x1*x2^2-2*q^-1*x1*x2^2-q^-2*x1*x2^2+2*q^3*x1*x2^2*x3+3*q^2*x1*x2^2*x3+2*q*x1*x2^2*x3-5*x1*x2^2*x3-5*q^-1*x1*x2^2*x3-3*q^-2*x1*x2^2*x3+2*q^4*x1*x2^2*x3^2+5*q^3*x1*x2^2*x3^2+8*q^2*x1*x2^2*x3^2+6*q*x1*x2^2*x3^2-2*x1*x2^2*x3^2-5*q^-1*x1*x2^2*x3^2-6*q^-2*x1*x2^2*x3^2-2*q^-3*x1*x2^2*x3^2-q^-4*x1*x2^2*x3^2-x1^2+q^2*x1^2*x3+q*x1^2*x3-x1^2*x3+2*q^2*x1^2*x3^2+q*x1^2*x3^2-x1^2*x3^2-2*x1^2*x2-q^-1*x1^2*x2-q^-2*x1^2*x2+q^3*x1^2*x2*x3+3*q^2*x1^2*x2*x3+3*q*x1^2*x2*x3-x1^2*x2*x3-2*q^-1*x1^2*x2*x3-q^-2*x1^2*x2*x3-q^5*x1^2*x2*x3^2+2*q^3*x1^2*x2*x3^2+7*q^2*x1^2*x2*x3^2+6*q*x1^2*x2*x3^2-2*q^-1*x1^2*x2*x3^2-2*q^-2*x1^2*x2*x3^2-q*x1^2*x2^2-4*x1^2*x2^2-3*q^-1*x1^2*x2^2-3*q^-2*x1^2*x2^2-q^-3*x1^2*x2^2-q^-4*x1^2*x2^2+2*q^4*x1^2*x2^2*x3+5*q^3*x1^2*x2^2*x3+8*q^2*x1^2*x2^2*x3+6*q*x1^2*x2^2*x3-2*x1^2*x2^2*x3-5*q^-1*x1^2*x2^2*x3-6*q^-2*x1^2*x2^2*x3-2*q^-3*x1^2*x2^2*x3-q^-4*x1^2*x2^2*x3-q^7*x1^2*x2^2*x3^2-2*q^6*x1^2*x2^2*x3^2-2*q^5*x1^2*x2^2*x3^2+4*q^4*x1^2*x2^2*x3^2+12*q^3*x1^2*x2^2*x3^2+21*q^2*x1^2*x2^2*x3^2+18*q*x1^2*x2^2*x3^2+6*x1^2*x2^2*x3^2-4*q^-1*x1^2*x2^2*x3^2-9*q^-2*x1^2*x2^2*x3^2-5*q^-3*x1^2*x2^2*x3^2-3*q^-4*x1^2*x2^2*x3^2
L8n3{0;0} 8 {-1,-2,-1,-2,-1,-2,-2,-2} [[-1, -1, -1, -1], [-1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1]] x1^(1/2) -q^-3*x2*x3
L8n3{0;0} 8 {-1,-2,-1,-2,-1,-2,-2,-2} [[1, -1, -1, -1], [-1, 1, -1, -1, -1, -1], [-1, -1, 1, -1, -1, -1]] x1^(1/2) -q^-3*x2*x3
L8n3{0;1} 9 {2,-3,2,1,-2,-2,3,3,1} [[-1, 1, -1, 1], [1, 1, 1, -1, 1, 1, 1, -1], [-1, -1, -1, 1, -1, 1]] x1^(1/2) -x2^-1*x3+q^4*x1^2*x2*x3+2*q^3*x1^2*x2*x3+2*q^2*x1^2*x2*x3-q*x1^2*x2*x3-4*x1^2*x2*x3-4*q^-1*x1^2*x2*x3-q^-2*x1^2*x2*x3+2*q^-3*x1^2*x2*x3+2*q^-4*x1^2*x2*x3+q^-5*x1^2*x2*x3-4*q^2*x1^2*x2*x3^2-10*q*x1^2*x2*x3^2-14*x1^2*x2*x3^2-8*q^-1*x1^2*x2*x3^2+9*q^-2*x1^2*x2*x3^2+22*q^-3*x1^2*x2*x3^2+23*q^-4*x1^2*x2*x3^2+11*q^-5*x1^2*x2*x3^2-2*q^-6*x1^2*x2*x3^2-8*q^-7*x1^2*x2*x3^2-8*q^-8*x1^2*x2*x3^2-5*q^-9*x1^2*x2*x3^2-3*q^-10*x1^2*x2*x3^2-2*q^-11*x1^2*x2*x3^2-q^-12*x1^2*x2*x3^2+q^3*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3-8*x1^2*x2^2*x3-10*q^-1*x1^2*x2^2*x3-4*q^-2*x1^2*x2^2*x3+4*q^-3*x1^2*x2^2*x3+12*q^-4*x1^2*x2^2*x3+13*q^-5*x1^2*x2^2*x3+9*q^-6*x1^2*x2^2*x3+4*q^-7*x1^2*x2^2*x3+q^-8*x1^2*x2^2*x3-q^4*x1^2*x2^2*x3^2-5*q^3*x1^2*x2^2*x3^2-12*q^2*x1^2*x2^2*x3^2-22*q*x1^2*x2^2*x3^2-34*x1^2*x2^2*x3^2-26*q^-1*x1^2*x2^2*x3^2+12*q^-2*x1^2*x2^2*x3^2+61*q^-3*x1^2*x2^2*x3^2+99*q^-4*x1^2*x2^2*x3^2+90*q^-5*x1^2*x2^2*x3^2+41*q^-6*x1^2*x2^2*x3^2-17*q^-7*x1^2*x2^2*x3^2-55*q^-8*x1^2*x2^2*x3^2-62*q^-9*x1^2*x2^2*x3^2-48*q^-10*x1^2*x2^2*x3^2-33*q^-11*x1^2*x2^2*x3^2-21*q^-12*x1^2*x2^2*x3^2-12*q^-13*x1^2*x2^2*x3^2-6*q^-14*x1^2*x2^2*x3^2-3*q^-15*x1^2*x2^2*x3^2-q^-16*x1^2*x2^2*x3^2
L8n3{0;1} 9 {2,-3,2,1,-2,-2,3,3,1} [[-1, 1, 1, 1], [1, 1, -1, -1, -1, 1, 1, -1], [1, 1, 1, 1, 1, 1]] x1^(1/2) -x1^-1*x2*x3^-1
L8n3{0;1} 9 {2,-3,2,1,-2,-2,3,3,1} [[1, 1, -1, 1], [1, 1, 1, -1, 1, 1, 1, 1], [-1, -1, -1, 1, -1, 1]] x1^(1/2) -x2^-1*x3
L8n3{0;1} 9 {2,-3,2,1,-2,-2,3,3,1} [[1, 1, 1, 1], [1, 1, -1, -1, -1, 1, 1, 1], [1, 1, 1, 1, 1, 1]] x1^(1/2) -x1^-1*x2*x3^-1+q^2*x1^2*x2^2*x3^-2+q*x1^2*x2^2*x3^-2+x1^2*x2^2*x3^-2-q^3*x1^2*x2^2*x3^-1-q^2*x1^2*x2^2*x3^-1-q*x1^2*x2^2*x3^-1-x1^2*x2^2*x3^-1-q^4*x1^2*x2^2-q^3*x1^2*x2^2-q^2*x1^2*x2^2
L8n3{1;0} 9 {2,-3,2,1,-2,-2,3,3,1} [[-1, 1, -1, 1], [1, 1, 1, -1, 1, 1, 1, -1], [-1, -1, -1, 1, -1, 1]] x1^(1/2) -x2^-1*x3+q^4*x1^2*x2*x3+2*q^3*x1^2*x2*x3+2*q^2*x1^2*x2*x3-q*x1^2*x2*x3-4*x1^2*x2*x3-4*q^-1*x1^2*x2*x3-q^-2*x1^2*x2*x3+2*q^-3*x1^2*x2*x3+2*q^-4*x1^2*x2*x3+q^-5*x1^2*x2*x3-4*q^2*x1^2*x2*x3^2-10*q*x1^2*x2*x3^2-14*x1^2*x2*x3^2-8*q^-1*x1^2*x2*x3^2+9*q^-2*x1^2*x2*x3^2+22*q^-3*x1^2*x2*x3^2+23*q^-4*x1^2*x2*x3^2+11*q^-5*x1^2*x2*x3^2-2*q^-6*x1^2*x2*x3^2-8*q^-7*x1^2*x2*x3^2-8*q^-8*x1^2*x2*x3^2-5*q^-9*x1^2*x2*x3^2-3*q^-10*x1^2*x2*x3^2-2*q^-11*x1^2*x2*x3^2-q^-12*x1^2*x2*x3^2+q^3*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3-8*x1^2*x2^2*x3-10*q^-1*x1^2*x2^2*x3-4*q^-2*x1^2*x2^2*x3+4*q^-3*x1^2*x2^2*x3+12*q^-4*x1^2*x2^2*x3+13*q^-5*x1^2*x2^2*x3+9*q^-6*x1^2*x2^2*x3+4*q^-7*x1^2*x2^2*x3+q^-8*x1^2*x2^2*x3-q^4*x1^2*x2^2*x3^2-5*q^3*x1^2*x2^2*x3^2-12*q^2*x1^2*x2^2*x3^2-22*q*x1^2*x2^2*x3^2-34*x1^2*x2^2*x3^2-26*q^-1*x1^2*x2^2*x3^2+12*q^-2*x1^2*x2^2*x3^2+61*q^-3*x1^2*x2^2*x3^2+99*q^-4*x1^2*x2^2*x3^2+90*q^-5*x1^2*x2^2*x3^2+41*q^-6*x1^2*x2^2*x3^2-17*q^-7*x1^2*x2^2*x3^2-55*q^-8*x1^2*x2^2*x3^2-62*q^-9*x1^2*x2^2*x3^2-48*q^-10*x1^2*x2^2*x3^2-33*q^-11*x1^2*x2^2*x3^2-21*q^-12*x1^2*x2^2*x3^2-12*q^-13*x1^2*x2^2*x3^2-6*q^-14*x1^2*x2^2*x3^2-3*q^-15*x1^2*x2^2*x3^2-q^-16*x1^2*x2^2*x3^2
L8n3{1;0} 9 {2,-3,2,1,-2,-2,3,3,1} [[-1, 1, 1, 1], [1, 1, -1, -1, -1, 1, 1, -1], [1, 1, 1, 1, 1, 1]] x1^(1/2) -x1^-1*x2*x3^-1
L8n3{1;0} 9 {2,-3,2,1,-2,-2,3,3,1} [[1, 1, -1, 1], [1, 1, 1, -1, 1, 1, 1, 1], [-1, -1, -1, 1, -1, 1]] x1^(1/2) -x2^-1*x3
L8n3{1;0} 9 {2,-3,2,1,-2,-2,3,3,1} [[1, 1, 1, 1], [1, 1, -1, -1, -1, 1, 1, 1], [1, 1, 1, 1, 1, 1]] x1^(1/2) -x1^-1*x2*x3^-1+q^2*x1^2*x2^2*x3^-2+q*x1^2*x2^2*x3^-2+x1^2*x2^2*x3^-2-q^3*x1^2*x2^2*x3^-1-q^2*x1^2*x2^2*x3^-1-q*x1^2*x2^2*x3^-1-x1^2*x2^2*x3^-1-q^4*x1^2*x2^2-q^3*x1^2*x2^2-q^2*x1^2*x2^2
L8n3{1;1} 8 {1,2,-1,2,1,-2,-2,-2} [[-1, 1, 1, 1], [1, -1, -1, -1, 1, -1], [-1, -1, -1, 1, -1, 1]] x1^(1/2) -q^-1*x1^-1*x2*x3
L8n3{1;1} 8 {1,2,-1,2,1,-2,-2,-2} [[1, 1, 1, 1], [1, 1, -1, -1, 1, -1], [-1, -1, 1, 1, -1, 1]] x1^(1/2) -q^-1*x1^-1*x2*x3
L8n3{1;1} 8 {1,2,-1,2,1,-2,-2,-2} [[1, 1, 1, 1], [1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1]] x1^(1/2) -q^-1*x2^-1*x3^-1-q^-5*x1*x2^-3*x3^-3-q^-13*x1^2*x2^-5*x3^-5
L8n4{0;0} 8 {-1,2,-1,-2,1,-2,-2,-2} [[-1, -1, 1, 1], [-1, -1, -1, -1, 1, -1], [1, -1, -1, 1, -1, 1]] x1^(1/2) -q^-1*x3-q^-1*x3^2+q^-2*x2*x3^2-q*x1*x2^-1*x3^2+x1*x3^2
L8n4{0;0} 8 {-1,2,-1,-2,1,-2,-2,-2} [[1, -1, -1, 1], [-1, 1, 1, -1, -1, -1], [-1, -1, -1, -1, -1, -1]] 1 -q*x1^-2*x2^2*x3^-1+x1^-2*x2^2-q^-1*x1^-1*x2-q^-1*x1^-1*x2^2+q^-2*x1^-1*x2^2*x3
L8n4{0;0} 8 {-1,2,-1,-2,1,-2,-2,-2} [[1, -1, 1, 1], [-1, 1, -1, -1, 1, -1], [1, -1, 1, 1, -1, 1]] x1^(1/2) -q^-1*x3-q^-1*x3^2+q^-2*x2*x3^2-q*x1*x2^-1*x3^2+x1*x3^2
L8n4{0;1} 9 {-2,-3,1,-2,3,3,-2,-3,1} [[-1, 1, -1, -1, -1, 1], [1, -1, -1, -1, -1, -1, 1, -1], [-1, -1, 1, -1]] x3^(1/2) -q^3*x1^-2*x3^2-q^3*x1^-2*x2*x3^2-q^2*x1^-2*x2*x3^2-q*x1^-2*x2*x3^2-q^3*x1^-2*x2^2*x3^2-q^2*x1^-2*x2^2*x3^2-2*q*x1^-2*x2^2*x3^2-x1^-2*x2^2*x3^2-q^-1*x1^-2*x2^2*x3^2-q^4*x1^-1*x2^-1*x3^2-q^3*x1^-1*x2^-1*x3^2+q*x1^-1*x3-q^5*x1^-1*x3^2-2*q^4*x1^-1*x3^2-3*q^3*x1^-1*x3^2-q^2*x1^-1*x3^2+q*x1^-1*x2*x3+x1^-1*x2*x3-q^6*x1^-1*x2*x3^2-2*q^5*x1^-1*x2*x3^2-4*q^4*x1^-1*x2*x3^2-5*q^3*x1^-1*x2*x3^2-4*q^2*x1^-1*x2*x3^2-2*q*x1^-1*x2*x3^2+q*x1^-1*x2^2*x3+x1^-1*x2^2*x3+q^-1*x1^-1*x2^2*x3-q^7*x1^-1*x2^2*x3^2-2*q^6*x1^-1*x2^2*x3^2-4*q^5*x1^-1*x2^2*x3^2-6*q^4*x1^-1*x2^2*x3^2-8*q^3*x1^-1*x2^2*x3^2-7*q^2*x1^-1*x2^2*x3^2-6*q*x1^-1*x2^2*x3^2-3*x1^-1*x2^2*x3^2-q^-1*x1^-1*x2^2*x3^2-q^3*x2^-2*x3^2+q*x2^-1*x3-q^5*x2^-1*x3^2-2*q^4*x2^-1*x3^2-3*q^3*x2^-1*x3^2-q^2*x2^-1*x3^2-1+q^2*x3+2*q*x3-q^7*x3^2-2*q^6*x3^2-5*q^5*x3^2-6*q^4*x3^2-7*q^3*x3^2-3*q^2*x3^2-q*x3^2-x2+q^3*x2*x3+2*q^2*x2*x3+3*q*x2*x3+x2*x3-q^9*x2*x3^2-2*q^8*x2*x3^2-5*q^7*x2*x3^2-8*q^6*x2*x3^2-12*q^5*x2*x3^2-13*q^4*x2*x3^2-13*q^3*x2*x3^2-8*q^2*x2*x3^2-4*q*x2*x3^2-x2*x3^2-x2^2+q^4*x2^2*x3+2*q^3*x2^2*x3+3*q^2*x2^2*x3+4*q*x2^2*x3+2*x2^2*x3+q^-1*x2^2*x3-q^11*x2^2*x3^2-2*q^10*x2^2*x3^2-5*q^9*x2^2*x3^2-8*q^8*x2^2*x3^2-14*q^7*x2^2*x3^2-18*q^6*x2^2*x3^2-23*q^5*x2^2*x3^2-23*q^4*x2^2*x3^2-23*q^3*x2^2*x3^2-16*q^2*x2^2*x3^2-11*q*x2^2*x3^2-5*x2^2*x3^2-2*q^-1*x2^2*x3^2-q^3*x1*x2^-2*x3^2-q^2*x1*x2^-2*x3^2-q*x1*x2^-2*x3^2+q*x1*x2^-1*x3+x1*x2^-1*x3-q^6*x1*x2^-1*x3^2-2*q^5*x1*x2^-1*x3^2-4*q^4*x1*x2^-1*x3^2-5*q^3*x1*x2^-1*x3^2-4*q^2*x1*x2^-1*x3^2-2*q*x1*x2^-1*x3^2-x1+q^3*x1*x3+2*q^2*x1*x3+3*q*x1*x3+x1*x3-q^9*x1*x3^2-2*q^8*x1*x3^2-5*q^7*x1*x3^2-8*q^6*x1*x3^2-12*q^5*x1*x3^2-13*q^4*x1*x3^2-13*q^3*x1*x3^2-8*q^2*x1*x3^2-4*q*x1*x3^2-x1*x3^2-q*x1*x2-x1*x2+q^5*x1*x2*x3+2*q^4*x1*x2*x3+4*q^3*x1*x2*x3+5*q^2*x1*x2*x3+4*q*x1*x2*x3+2*x1*x2*x3-q^12*x1*x2*x3^2-2*q^11*x1*x2*x3^2-5*q^10*x1*x2*x3^2-9*q^9*x1*x2*x3^2-15*q^8*x1*x2*x3^2-21*q^7*x1*x2*x3^2-27*q^6*x1*x2*x3^2-30*q^5*x1*x2*x3^2-29*q^4*x1*x2*x3^2-24*q^3*x1*x2*x3^2-16*q^2*x1*x2*x3^2-9*q*x1*x2*x3^2-3*x1*x2*x3^2-q^-1*x1*x2*x3^2-q^2*x1*x2^2-q*x1*x2^2-x1*x2^2+q^7*x1*x2^2*x3+2*q^6*x1*x2^2*x3+4*q^5*x1*x2^2*x3+6*q^4*x1*x2^2*x3+8*q^3*x1*x2^2*x3+7*q^2*x1*x2^2*x3+6*q*x1*x2^2*x3+3*x1*x2^2*x3+q^-1*x1*x2^2*x3-q^15*x1*x2^2*x3^2-2*q^14*x1*x2^2*x3^2-5*q^13*x1*x2^2*x3^2-9*q^12*x1*x2^2*x3^2-16*q^11*x1*x2^2*x3^2-24*q^10*x1*x2^2*x3^2-35*q^9*x1*x2^2*x3^2-44*q^8*x1*x2^2*x3^2-54*q^7*x1*x2^2*x3^2-58*q^6*x1*x2^2*x3^2-59*q^5*x1*x2^2*x3^2-52*q^4*x1*x2^2*x3^2-43*q^3*x1*x2^2*x3^2-30*q^2*x1*x2^2*x3^2-19*q*x1*x2^2*x3^2-9*x1*x2^2*x3^2-4*q^-1*x1*x2^2*x3^2-q^-2*x1*x2^2*x3^2-q^3*x1^2*x2^-2*x3^2-q^2*x1^2*x2^-2*x3^2-2*q*x1^2*x2^-2*x3^2-x1^2*x2^-2*x3^2-q^-1*x1^2*x2^-2*x3^2+q*x1^2*x2^-1*x3+x1^2*x2^-1*x3+q^-1*x1^2*x2^-1*x3-q^7*x1^2*x2^-1*x3^2-2*q^6*x1^2*x2^-1*x3^2-4*q^5*x1^2*x2^-1*x3^2-6*q^4*x1^2*x2^-1*x3^2-8*q^3*x1^2*x2^-1*x3^2-7*q^2*x1^2*x2^-1*x3^2-6*q*x1^2*x2^-1*x3^2-3*x1^2*x2^-1*x3^2-q^-1*x1^2*x2^-1*x3^2-x1^2+q^4*x1^2*x3+2*q^3*x1^2*x3+3*q^2*x1^2*x3+4*q*x1^2*x3+2*x1^2*x3+q^-1*x1^2*x3-q^11*x1^2*x3^2-2*q^10*x1^2*x3^2-5*q^9*x1^2*x3^2-8*q^8*x1^2*x3^2-14*q^7*x1^2*x3^2-18*q^6*x1^2*x3^2-23*q^5*x1^2*x3^2-23*q^4*x1^2*x3^2-23*q^3*x1^2*x3^2-16*q^2*x1^2*x3^2-11*q*x1^2*x3^2-5*x1^2*x3^2-2*q^-1*x1^2*x3^2-q^2*x1^2*x2-q*x1^2*x2-x1^2*x2+q^7*x1^2*x2*x3+2*q^6*x1^2*x2*x3+4*q^5*x1^2*x2*x3+6*q^4*x1^2*x2*x3+8*q^3*x1^2*x2*x3+7*q^2*x1^2*x2*x3+6*q*x1^2*x2*x3+3*x1^2*x2*x3+q^-1*x1^2*x2*x3-q^15*x1^2*x2*x3^2-2*q^14*x1^2*x2*x3^2-5*q^13*x1^2*x2*x3^2-9*q^12*x1^2*x2*x3^2-16*q^11*x1^2*x2*x3^2-24*q^10*x1^2*x2*x3^2-35*q^9*x1^2*x2*x3^2-44*q^8*x1^2*x2*x3^2-54*q^7*x1^2*x2*x3^2-58*q^6*x1^2*x2*x3^2-59*q^5*x1^2*x2*x3^2-52*q^4*x1^2*x2*x3^2-43*q^3*x1^2*x2*x3^2-30*q^2*x1^2*x2*x3^2-19*q*x1^2*x2*x3^2-9*x1^2*x2*x3^2-4*q^-1*x1^2*x2*x3^2-q^-2*x1^2*x2*x3^2-q^4*x1^2*x2^2-q^3*x1^2*x2^2-2*q^2*x1^2*x2^2-q*x1^2*x2^2-x1^2*x2^2+q^10*x1^2*x2^2*x3+2*q^9*x1^2*x2^2*x3+4*q^8*x1^2*x2^2*x3+7*q^7*x1^2*x2^2*x3+10*q^6*x1^2*x2^2*x3+13*q^5*x1^2*x2^2*x3+14*q^4*x1^2*x2^2*x3+14*q^3*x1^2*x2^2*x3+11*q^2*x1^2*x2^2*x3+8*q*x1^2*x2^2*x3+4*x1^2*x2^2*x3+2*q^-1*x1^2*x2^2*x3-q^19*x1^2*x2^2*x3^2-2*q^18*x1^2*x2^2*x3^2-5*q^17*x1^2*x2^2*x3^2-9*q^16*x1^2*x2^2*x3^2-17*q^15*x1^2*x2^2*x3^2-26*q^14*x1^2*x2^2*x3^2-41*q^13*x1^2*x2^2*x3^2-56*q^12*x1^2*x2^2*x3^2-76*q^11*x1^2*x2^2*x3^2-93*q^10*x1^2*x2^2*x3^2-112*q^9*x1^2*x2^2*x3^2-121*q^8*x1^2*x2^2*x3^2-129*q^7*x1^2*x2^2*x3^2-123*q^6*x1^2*x2^2*x3^2-114*q^5*x1^2*x2^2*x3^2-94*q^4*x1^2*x2^2*x3^2-75*q^3*x1^2*x2^2*x3^2-51*q^2*x1^2*x2^2*x3^2-34*q*x1^2*x2^2*x3^2-18*x1^2*x2^2*x3^2-9*q^-1*x1^2*x2^2*x3^2-3*q^-2*x1^2*x2^2*x3^2-q^-3*x1^2*x2^2*x3^2
L8n4{0;1} 9 {-2,-3,1,-2,3,3,-2,-3,1} [[-1, 1, -1, 1, -1, 1], [1, 1, 1, -1, 1, 1, 1, -1], [-1, -1, 1, -1]] x3^(1/2) -x1*x3^-1+q^-1*x1^2*x2^-1*x3^-1+q*x1^2*x3^-2-x1^2*x3^-1-q^2*x1^2*x2*x3^-2
L8n4{0;1} 9 {-2,-3,1,-2,3,3,-2,-3,1} [[-1, 1, 1, 1, 1, 1], [1, -1, -1, -1, -1, -1, 1, -1], [-1, -1, -1, -1]] x3^(1/2) q^-1*x1^-1*x2^2*x3^-1-x2*x3^-1+q*x2^2*x3^-2-x2^2*x3^-1-q^2*x1*x2^2*x3^-2
L8n4{0;1} 9 {-2,-3,1,-2,3,3,-2,-3,1} [[1, 1, -1, -1, -1, 1], [1, -1, -1, -1, -1, -1, 1, 1], [-1, -1, 1, -1]] x3^(1/2) -q^3*x1^-2*x3^2-q^3*x1^-2*x2*x3^2-q^2*x1^-2*x2*x3^2-q*x1^-2*x2*x3^2-q^3*x1^-2*x2^2*x3^2-q^2*x1^-2*x2^2*x3^2-2*q*x1^-2*x2^2*x3^2-x1^-2*x2^2*x3^2-q^-1*x1^-2*x2^2*x3^2-q^4*x1^-1*x2^-1*x3^2-q^3*x1^-1*x2^-1*x3^2+q*x1^-1*x3-q^5*x1^-1*x3^2-2*q^4*x1^-1*x3^2-3*q^3*x1^-1*x3^2-q^2*x1^-1*x3^2+q*x1^-1*x2*x3+x1^-1*x2*x3-q^6*x1^-1*x2*x3^2-2*q^5*x1^-1*x2*x3^2-4*q^4*x1^-1*x2*x3^2-5*q^3*x1^-1*x2*x3^2-4*q^2*x1^-1*x2*x3^2-2*q*x1^-1*x2*x3^2+q*x1^-1*x2^2*x3+x1^-1*x2^2*x3+q^-1*x1^-1*x2^2*x3-q^7*x1^-1*x2^2*x3^2-2*q^6*x1^-1*x2^2*x3^2-4*q^5*x1^-1*x2^2*x3^2-6*q^4*x1^-1*x2^2*x3^2-8*q^3*x1^-1*x2^2*x3^2-7*q^2*x1^-1*x2^2*x3^2-6*q*x1^-1*x2^2*x3^2-3*x1^-1*x2^2*x3^2-q^-1*x1^-1*x2^2*x3^2-q^3*x2^-2*x3^2+q*x2^-1*x3-q^5*x2^-1*x3^2-2*q^4*x2^-1*x3^2-3*q^3*x2^-1*x3^2-q^2*x2^-1*x3^2-1+q^2*x3+2*q*x3-q^7*x3^2-2*q^6*x3^2-5*q^5*x3^2-6*q^4*x3^2-7*q^3*x3^2-3*q^2*x3^2-q*x3^2-x2+q^3*x2*x3+2*q^2*x2*x3+3*q*x2*x3+x2*x3-q^9*x2*x3^2-2*q^8*x2*x3^2-5*q^7*x2*x3^2-8*q^6*x2*x3^2-12*q^5*x2*x3^2-13*q^4*x2*x3^2-13*q^3*x2*x3^2-8*q^2*x2*x3^2-4*q*x2*x3^2-x2*x3^2-x2^2+q^4*x2^2*x3+2*q^3*x2^2*x3+3*q^2*x2^2*x3+4*q*x2^2*x3+2*x2^2*x3+q^-1*x2^2*x3-q^11*x2^2*x3^2-2*q^10*x2^2*x3^2-5*q^9*x2^2*x3^2-8*q^8*x2^2*x3^2-14*q^7*x2^2*x3^2-18*q^6*x2^2*x3^2-23*q^5*x2^2*x3^2-23*q^4*x2^2*x3^2-23*q^3*x2^2*x3^2-16*q^2*x2^2*x3^2-11*q*x2^2*x3^2-5*x2^2*x3^2-2*q^-1*x2^2*x3^2-q^3*x1*x2^-2*x3^2-q^2*x1*x2^-2*x3^2-q*x1*x2^-2*x3^2+q*x1*x2^-1*x3+x1*x2^-1*x3-q^6*x1*x2^-1*x3^2-2*q^5*x1*x2^-1*x3^2-4*q^4*x1*x2^-1*x3^2-5*q^3*x1*x2^-1*x3^2-4*q^2*x1*x2^-1*x3^2-2*q*x1*x2^-1*x3^2-x1+q^3*x1*x3+2*q^2*x1*x3+3*q*x1*x3+x1*x3-q^9*x1*x3^2-2*q^8*x1*x3^2-5*q^7*x1*x3^2-8*q^6*x1*x3^2-12*q^5*x1*x3^2-13*q^4*x1*x3^2-13*q^3*x1*x3^2-8*q^2*x1*x3^2-4*q*x1*x3^2-x1*x3^2-q*x1*x2-x1*x2+q^5*x1*x2*x3+2*q^4*x1*x2*x3+4*q^3*x1*x2*x3+5*q^2*x1*x2*x3+4*q*x1*x2*x3+2*x1*x2*x3-q^12*x1*x2*x3^2-2*q^11*x1*x2*x3^2-5*q^10*x1*x2*x3^2-9*q^9*x1*x2*x3^2-15*q^8*x1*x2*x3^2-21*q^7*x1*x2*x3^2-27*q^6*x1*x2*x3^2-30*q^5*x1*x2*x3^2-29*q^4*x1*x2*x3^2-24*q^3*x1*x2*x3^2-16*q^2*x1*x2*x3^2-9*q*x1*x2*x3^2-3*x1*x2*x3^2-q^-1*x1*x2*x3^2-q^2*x1*x2^2-q*x1*x2^2-x1*x2^2+q^7*x1*x2^2*x3+2*q^6*x1*x2^2*x3+4*q^5*x1*x2^2*x3+6*q^4*x1*x2^2*x3+8*q^3*x1*x2^2*x3+7*q^2*x1*x2^2*x3+6*q*x1*x2^2*x3+3*x1*x2^2*x3+q^-1*x1*x2^2*x3-q^15*x1*x2^2*x3^2-2*q^14*x1*x2^2*x3^2-5*q^13*x1*x2^2*x3^2-9*q^12*x1*x2^2*x3^2-16*q^11*x1*x2^2*x3^2-24*q^10*x1*x2^2*x3^2-35*q^9*x1*x2^2*x3^2-44*q^8*x1*x2^2*x3^2-54*q^7*x1*x2^2*x3^2-58*q^6*x1*x2^2*x3^2-59*q^5*x1*x2^2*x3^2-52*q^4*x1*x2^2*x3^2-43*q^3*x1*x2^2*x3^2-30*q^2*x1*x2^2*x3^2-19*q*x1*x2^2*x3^2-9*x1*x2^2*x3^2-4*q^-1*x1*x2^2*x3^2-q^-2*x1*x2^2*x3^2-q^3*x1^2*x2^-2*x3^2-q^2*x1^2*x2^-2*x3^2-2*q*x1^2*x2^-2*x3^2-x1^2*x2^-2*x3^2-q^-1*x1^2*x2^-2*x3^2+q*x1^2*x2^-1*x3+x1^2*x2^-1*x3+q^-1*x1^2*x2^-1*x3-q^7*x1^2*x2^-1*x3^2-2*q^6*x1^2*x2^-1*x3^2-4*q^5*x1^2*x2^-1*x3^2-6*q^4*x1^2*x2^-1*x3^2-8*q^3*x1^2*x2^-1*x3^2-7*q^2*x1^2*x2^-1*x3^2-6*q*x1^2*x2^-1*x3^2-3*x1^2*x2^-1*x3^2-q^-1*x1^2*x2^-1*x3^2-x1^2+q^4*x1^2*x3+2*q^3*x1^2*x3+3*q^2*x1^2*x3+4*q*x1^2*x3+2*x1^2*x3+q^-1*x1^2*x3-q^11*x1^2*x3^2-2*q^10*x1^2*x3^2-5*q^9*x1^2*x3^2-8*q^8*x1^2*x3^2-14*q^7*x1^2*x3^2-18*q^6*x1^2*x3^2-23*q^5*x1^2*x3^2-23*q^4*x1^2*x3^2-23*q^3*x1^2*x3^2-16*q^2*x1^2*x3^2-11*q*x1^2*x3^2-5*x1^2*x3^2-2*q^-1*x1^2*x3^2-q^2*x1^2*x2-q*x1^2*x2-x1^2*x2+q^7*x1^2*x2*x3+2*q^6*x1^2*x2*x3+4*q^5*x1^2*x2*x3+6*q^4*x1^2*x2*x3+8*q^3*x1^2*x2*x3+7*q^2*x1^2*x2*x3+6*q*x1^2*x2*x3+3*x1^2*x2*x3+q^-1*x1^2*x2*x3-q^15*x1^2*x2*x3^2-2*q^14*x1^2*x2*x3^2-5*q^13*x1^2*x2*x3^2-9*q^12*x1^2*x2*x3^2-16*q^11*x1^2*x2*x3^2-24*q^10*x1^2*x2*x3^2-35*q^9*x1^2*x2*x3^2-44*q^8*x1^2*x2*x3^2-54*q^7*x1^2*x2*x3^2-58*q^6*x1^2*x2*x3^2-59*q^5*x1^2*x2*x3^2-52*q^4*x1^2*x2*x3^2-43*q^3*x1^2*x2*x3^2-30*q^2*x1^2*x2*x3^2-19*q*x1^2*x2*x3^2-9*x1^2*x2*x3^2-4*q^-1*x1^2*x2*x3^2-q^-2*x1^2*x2*x3^2-q^4*x1^2*x2^2-q^3*x1^2*x2^2-2*q^2*x1^2*x2^2-q*x1^2*x2^2-x1^2*x2^2+q^10*x1^2*x2^2*x3+2*q^9*x1^2*x2^2*x3+4*q^8*x1^2*x2^2*x3+7*q^7*x1^2*x2^2*x3+10*q^6*x1^2*x2^2*x3+13*q^5*x1^2*x2^2*x3+14*q^4*x1^2*x2^2*x3+14*q^3*x1^2*x2^2*x3+11*q^2*x1^2*x2^2*x3+8*q*x1^2*x2^2*x3+4*x1^2*x2^2*x3+2*q^-1*x1^2*x2^2*x3-q^19*x1^2*x2^2*x3^2-2*q^18*x1^2*x2^2*x3^2-5*q^17*x1^2*x2^2*x3^2-9*q^16*x1^2*x2^2*x3^2-17*q^15*x1^2*x2^2*x3^2-26*q^14*x1^2*x2^2*x3^2-41*q^13*x1^2*x2^2*x3^2-56*q^12*x1^2*x2^2*x3^2-76*q^11*x1^2*x2^2*x3^2-93*q^10*x1^2*x2^2*x3^2-112*q^9*x1^2*x2^2*x3^2-121*q^8*x1^2*x2^2*x3^2-129*q^7*x1^2*x2^2*x3^2-123*q^6*x1^2*x2^2*x3^2-114*q^5*x1^2*x2^2*x3^2-94*q^4*x1^2*x2^2*x3^2-75*q^3*x1^2*x2^2*x3^2-51*q^2*x1^2*x2^2*x3^2-34*q*x1^2*x2^2*x3^2-18*x1^2*x2^2*x3^2-9*q^-1*x1^2*x2^2*x3^2-3*q^-2*x1^2*x2^2*x3^2-q^-3*x1^2*x2^2*x3^2
L8n4{0;1} 9 {-2,-3,1,-2,3,3,-2,-3,1} [[1, 1, -1, 1, -1, 1], [1, 1, 1, -1, 1, 1, 1, 1], [-1, -1, 1, -1]] 1 -x1*x3^-1+q^-1*x1^2*x2^-1*x3^-1+q*x1^2*x3^-2-x1^2*x3^-1-q^2*x1^2*x2*x3^-2
L8n4{0;1} 9 {-2,-3,1,-2,3,3,-2,-3,1} [[1, 1, 1, 1, 1, 1], [1, -1, -1, -1, -1, -1, 1, 1], [-1, -1, -1, -1]] x3^(1/2) q^-1*x1^-1*x2^2*x3^-1-x2*x3^-1+q*x2^2*x3^-2-x2^2*x3^-1-q^2*x1*x2^2*x3^-2
L8n4{1;0} 9 {2,-3,2,1,2,2,3,3,1} [[-1, 1, 1, 1], [1, 1, -1, -1, -1, 1, 1, -1], [1, 1, 1, 1, 1, 1]] x1^(1/2) -q^2*x2+q*x2^2*x3^-1-q^2*x2^2+q^3*x1*x2^2-q^4*x1*x2^2*x3
L8n4{1;0} 9 {2,-3,2,1,2,2,3,3,1} [[-1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, -1], [1, 1, 1, 1, 1, 1]] x1^(1/2) q*x2^-1*x3^2-q^2*x3-q^2*x3^2+q^3*x1*x3^2-q^4*x1*x2*x3^2
L8n4{1;0} 9 {2,-3,2,1,2,2,3,3,1} [[1, 1, 1, 1], [1, 1, -1, -1, -1, 1, 1, 1], [1, 1, 1, 1, 1, 1]] x1^(1/2) -q^2*x2+q*x2^2*x3^-1-q^2*x2^2+q^3*x1*x2^2-q^4*x1*x2^2*x3
L8n4{1;0} 9 {2,-3,2,1,2,2,3,3,1} [[1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1]] x1^(1/2) q*x2^-1*x3^2-q^2*x3-q^2*x3^2+q^3*x1*x3^2-q^4*x1*x2*x3^2
L8n4{1;1} 8 {-1,2,-1,-2,1,-2,-2,-2} [[-1, -1, 1, 1], [-1, -1, -1, -1, 1, -1], [1, -1, -1, 1, -1, 1]] x1^(1/2) -q^-1*x3-q^-1*x3^2+q^-2*x2*x3^2-q*x1*x2^-1*x3^2+x1*x3^2
L8n4{1;1} 8 {-1,2,-1,-2,1,-2,-2,-2} [[1, -1, -1, 1], [-1, 1, 1, -1, -1, -1], [-1, -1, -1, -1, -1, -1]] 1 -q*x1^-2*x2^2*x3^-1+x1^-2*x2^2-q^-1*x1^-1*x2-q^-1*x1^-1*x2^2+q^-2*x1^-1*x2^2*x3
L8n4{1;1} 8 {-1,2,-1,-2,1,-2,-2,-2} [[1, -1, 1, 1], [-1, 1, -1, -1, 1, -1], [1, -1, 1, 1, -1, 1]] x1^(1/2) -q^-1*x3-q^-1*x3^2+q^-2*x2*x3^2-q*x1*x2^-1*x3^2+x1*x3^2
L8n5{0;0} 8 {-1,2,-1,2,-1,-2,-2,-2} [[-1, -1, 1, -1], [-1, -1, -1, 1, 1, -1], [1, -1, -1, -1, -1, 1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -q^-1-q^-1*x3-q^-1*x3^2-q^-1*x2-q^-1*x2*x3-q^-1*x2*x3^2-q^-1*x2^2-q^-1*x2^2*x3-q^-1*x2^2*x3^2-q*x1-q^2*x1*x3-q*x1*x3+x1*x3-q^3*x1*x3^2-q^2*x1*x3^2+x1*x3^2-q^2*x1*x2-q*x1*x2+x1*x2-q^3*x1*x2*x3-2*q^2*x1*x2*x3-q*x1*x2*x3+2*x1*x2*x3+q^-1*x1*x2*x3-q^4*x1*x2*x3^2-2*q^3*x1*x2*x3^2-2*q^2*x1*x2*x3^2+3*x1*x2*x3^2+q^-1*x1*x2*x3^2-q^3*x1*x2^2-q^2*x1*x2^2+x1*x2^2-q^4*x1*x2^2*x3-2*q^3*x1*x2^2*x3-2*q^2*x1*x2^2*x3+3*x1*x2^2*x3+q^-1*x1*x2^2*x3-q^5*x1*x2^2*x3^2-2*q^4*x1*x2^2*x3^2-3*q^3*x1*x2^2*x3^2-2*q^2*x1*x2^2*x3^2+q*x1*x2^2*x3^2+4*x1*x2^2*x3^2+3*q^-1*x1*x2^2*x3^2-q^-3*x1*x2^2*x3^2-q^5*x1^2-q^7*x1^2*x3-q^6*x1^2*x3-q^5*x1^2*x3+q^4*x1^2*x3+q^3*x1^2*x3-q^9*x1^2*x3^2-q^8*x1^2*x3^2-2*q^7*x1^2*x3^2+q^5*x1^2*x3^2+2*q^4*x1^2*x3^2+q^3*x1^2*x3^2-q^2*x1^2*x3^2-q^7*x1^2*x2-q^6*x1^2*x2-q^5*x1^2*x2+q^4*x1^2*x2+q^3*x1^2*x2-q^9*x1^2*x2*x3-2*q^8*x1^2*x2*x3-3*q^7*x1^2*x2*x3-2*q^6*x1^2*x2*x3+q^5*x1^2*x2*x3+4*q^4*x1^2*x2*x3+3*q^3*x1^2*x2*x3-q*x1^2*x2*x3-q^11*x1^2*x2*x3^2-2*q^10*x1^2*x2*x3^2-4*q^9*x1^2*x2*x3^2-4*q^8*x1^2*x2*x3^2-3*q^7*x1^2*x2*x3^2+2*q^6*x1^2*x2*x3^2+6*q^5*x1^2*x2*x3^2+7*q^4*x1^2*x2*x3^2+3*q^3*x1^2*x2*x3^2-2*q^2*x1^2*x2*x3^2-2*q*x1^2*x2*x3^2-x1^2*x2*x3^2-q^9*x1^2*x2^2-q^8*x1^2*x2^2-2*q^7*x1^2*x2^2+q^5*x1^2*x2^2+2*q^4*x1^2*x2^2+q^3*x1^2*x2^2-q^2*x1^2*x2^2-q^11*x1^2*x2^2*x3-2*q^10*x1^2*x2^2*x3-4*q^9*x1^2*x2^2*x3-4*q^8*x1^2*x2^2*x3-3*q^7*x1^2*x2^2*x3+2*q^6*x1^2*x2^2*x3+6*q^5*x1^2*x2^2*x3+7*q^4*x1^2*x2^2*x3+3*q^3*x1^2*x2^2*x3-2*q^2*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3-x1^2*x2^2*x3-q^13*x1^2*x2^2*x3^2-2*q^12*x1^2*x2^2*x3^2-5*q^11*x1^2*x2^2*x3^2-6*q^10*x1^2*x2^2*x3^2-8*q^9*x1^2*x2^2*x3^2-4*q^8*x1^2*x2^2*x3^2+q^7*x1^2*x2^2*x3^2+10*q^6*x1^2*x2^2*x3^2+14*q^5*x1^2*x2^2*x3^2+12*q^4*x1^2*x2^2*x3^2+4*q^3*x1^2*x2^2*x3^2-6*q^2*x1^2*x2^2*x3^2-6*q*x1^2*x2^2*x3^2-4*x1^2*x2^2*x3^2
L8n5{0;0} 8 {-1,2,-1,2,-1,-2,-2,-2} [[1, -1, 1, -1], [-1, 1, -1, 1, 1, -1], [1, -1, 1, -1, -1, 1]] 1 -q^-1-q^-1*x3-q^-1*x3^2-q^-1*x2-q^-1*x2*x3-q^-1*x2*x3^2-q^-1*x2^2-q^-1*x2^2*x3-q^-1*x2^2*x3^2-q*x1-q^2*x1*x3-q*x1*x3+x1*x3-q^3*x1*x3^2-q^2*x1*x3^2+x1*x3^2-q^2*x1*x2-q*x1*x2+x1*x2-q^3*x1*x2*x3-2*q^2*x1*x2*x3-q*x1*x2*x3+2*x1*x2*x3+q^-1*x1*x2*x3-q^4*x1*x2*x3^2-2*q^3*x1*x2*x3^2-2*q^2*x1*x2*x3^2+3*x1*x2*x3^2+q^-1*x1*x2*x3^2-q^3*x1*x2^2-q^2*x1*x2^2+x1*x2^2-q^4*x1*x2^2*x3-2*q^3*x1*x2^2*x3-2*q^2*x1*x2^2*x3+3*x1*x2^2*x3+q^-1*x1*x2^2*x3-q^5*x1*x2^2*x3^2-2*q^4*x1*x2^2*x3^2-3*q^3*x1*x2^2*x3^2-2*q^2*x1*x2^2*x3^2+q*x1*x2^2*x3^2+4*x1*x2^2*x3^2+3*q^-1*x1*x2^2*x3^2-q^-3*x1*x2^2*x3^2-q^5*x1^2-q^7*x1^2*x3-q^6*x1^2*x3-q^5*x1^2*x3+q^4*x1^2*x3+q^3*x1^2*x3-q^9*x1^2*x3^2-q^8*x1^2*x3^2-2*q^7*x1^2*x3^2+q^5*x1^2*x3^2+2*q^4*x1^2*x3^2+q^3*x1^2*x3^2-q^2*x1^2*x3^2-q^7*x1^2*x2-q^6*x1^2*x2-q^5*x1^2*x2+q^4*x1^2*x2+q^3*x1^2*x2-q^9*x1^2*x2*x3-2*q^8*x1^2*x2*x3-3*q^7*x1^2*x2*x3-2*q^6*x1^2*x2*x3+q^5*x1^2*x2*x3+4*q^4*x1^2*x2*x3+3*q^3*x1^2*x2*x3-q*x1^2*x2*x3-q^11*x1^2*x2*x3^2-2*q^10*x1^2*x2*x3^2-4*q^9*x1^2*x2*x3^2-4*q^8*x1^2*x2*x3^2-3*q^7*x1^2*x2*x3^2+2*q^6*x1^2*x2*x3^2+6*q^5*x1^2*x2*x3^2+7*q^4*x1^2*x2*x3^2+3*q^3*x1^2*x2*x3^2-2*q^2*x1^2*x2*x3^2-2*q*x1^2*x2*x3^2-x1^2*x2*x3^2-q^9*x1^2*x2^2-q^8*x1^2*x2^2-2*q^7*x1^2*x2^2+q^5*x1^2*x2^2+2*q^4*x1^2*x2^2+q^3*x1^2*x2^2-q^2*x1^2*x2^2-q^11*x1^2*x2^2*x3-2*q^10*x1^2*x2^2*x3-4*q^9*x1^2*x2^2*x3-4*q^8*x1^2*x2^2*x3-3*q^7*x1^2*x2^2*x3+2*q^6*x1^2*x2^2*x3+6*q^5*x1^2*x2^2*x3+7*q^4*x1^2*x2^2*x3+3*q^3*x1^2*x2^2*x3-2*q^2*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3-x1^2*x2^2*x3-q^13*x1^2*x2^2*x3^2-2*q^12*x1^2*x2^2*x3^2-5*q^11*x1^2*x2^2*x3^2-6*q^10*x1^2*x2^2*x3^2-8*q^9*x1^2*x2^2*x3^2-4*q^8*x1^2*x2^2*x3^2+q^7*x1^2*x2^2*x3^2+10*q^6*x1^2*x2^2*x3^2+14*q^5*x1^2*x2^2*x3^2+12*q^4*x1^2*x2^2*x3^2+4*q^3*x1^2*x2^2*x3^2-6*q^2*x1^2*x2^2*x3^2-6*q*x1^2*x2^2*x3^2-4*x1^2*x2^2*x3^2
L8n5{0;1} 9 {-2,3,3,2,-3,1,-2,3,1} [[-1, 1, -1, 1, -1, -1, -1, 1], [1, -1, 1, 1, 1, -1], [-1, 1, 1, 1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -q-q*x3-q*x3^2-q*x2+q^2*x2*x3-q*x2*x3-x2*x3+q^3*x2*x3^2+q^2*x2*x3^2-q*x2*x3^2-x2*x3^2-q^-1*x2*x3^2-q*x2^2+q^2*x2^2*x3-x2^2*x3-q^-1*x2^2*x3-q^4*x2^2*x3^2+q^3*x2^2*x3^2+2*q^2*x2^2*x3^2+q*x2^2*x3^2-2*q^-1*x2^2*x3^2-q^-2*x2^2*x3^2-q^-3*x2^2*x3^2-q*x1+q^2*x1*x3-q*x1*x3-x1*x3+q^3*x1*x3^2+q^2*x1*x3^2-q*x1*x3^2-x1*x3^2-q^-1*x1*x3^2-q*x1*x2+q^3*x1*x2*x3+2*q^2*x1*x2*x3-q*x1*x2*x3-2*x1*x2*x3-q^-1*x1*x2*x3-q^5*x1*x2*x3^2+3*q^3*x1*x2*x3^2+4*q^2*x1*x2*x3^2+q*x1*x2*x3^2-2*x1*x2*x3^2-3*q^-1*x1*x2*x3^2-2*q^-2*x1*x2*x3^2-q^-3*x1*x2*x3^2-q*x1*x2^2+q^3*x1*x2^2*x3+3*q^2*x1*x2^2*x3-2*x1*x2^2*x3-2*q^-1*x1*x2^2*x3-q^-2*x1*x2^2*x3-q^6*x1*x2^2*x3^2-2*q^5*x1*x2^2*x3^2-2*q^4*x1*x2^2*x3^2+3*q^3*x1*x2^2*x3^2+7*q^2*x1*x2^2*x3^2+6*q*x1*x2^2*x3^2+2*x1*x2^2*x3^2-3*q^-1*x1*x2^2*x3^2-4*q^-2*x1*x2^2*x3^2-4*q^-3*x1*x2^2*x3^2-2*q^-4*x1*x2^2*x3^2-q^-5*x1*x2^2*x3^2-q*x1^2+q^2*x1^2*x3-x1^2*x3-q^-1*x1^2*x3-q^4*x1^2*x3^2+q^3*x1^2*x3^2+2*q^2*x1^2*x3^2+q*x1^2*x3^2-2*q^-1*x1^2*x3^2-q^-2*x1^2*x3^2-q^-3*x1^2*x3^2-q*x1^2*x2+q^3*x1^2*x2*x3+3*q^2*x1^2*x2*x3-2*x1^2*x2*x3-2*q^-1*x1^2*x2*x3-q^-2*x1^2*x2*x3-q^6*x1^2*x2*x3^2-2*q^5*x1^2*x2*x3^2-2*q^4*x1^2*x2*x3^2+3*q^3*x1^2*x2*x3^2+7*q^2*x1^2*x2*x3^2+6*q*x1^2*x2*x3^2+2*x1^2*x2*x3^2-3*q^-1*x1^2*x2*x3^2-4*q^-2*x1^2*x2*x3^2-4*q^-3*x1^2*x2*x3^2-2*q^-4*x1^2*x2*x3^2-q^-5*x1^2*x2*x3^2-q*x1^2*x2^2-q^5*x1^2*x2^2*x3+3*q^3*x1^2*x2^2*x3+4*q^2*x1^2*x2^2*x3+q*x1^2*x2^2*x3-2*x1^2*x2^2*x3-3*q^-1*x1^2*x2^2*x3-2*q^-2*x1^2*x2^2*x3-q^-3*x1^2*x2^2*x3-4*q^6*x1^2*x2^2*x3^2-6*q^5*x1^2*x2^2*x3^2-6*q^4*x1^2*x2^2*x3^2+4*q^3*x1^2*x2^2*x3^2+12*q^2*x1^2*x2^2*x3^2+14*q*x1^2*x2^2*x3^2+10*x1^2*x2^2*x3^2+q^-1*x1^2*x2^2*x3^2-4*q^-2*x1^2*x2^2*x3^2-8*q^-3*x1^2*x2^2*x3^2-6*q^-4*x1^2*x2^2*x3^2-5*q^-5*x1^2*x2^2*x3^2-2*q^-6*x1^2*x2^2*x3^2-q^-7*x1^2*x2^2*x3^2
L8n5{0;1} 9 {-2,3,3,2,-3,1,-2,3,1} [[1, 1, -1, 1, -1, -1, -1, 1], [1, -1, 1, 1, 1, 1], [-1, 1, 1, 1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -q-q*x3-q*x3^2-q*x2+q^2*x2*x3-q*x2*x3-x2*x3+q^3*x2*x3^2+q^2*x2*x3^2-q*x2*x3^2-x2*x3^2-q^-1*x2*x3^2-q*x2^2+q^2*x2^2*x3-x2^2*x3-q^-1*x2^2*x3-q^4*x2^2*x3^2+q^3*x2^2*x3^2+2*q^2*x2^2*x3^2+q*x2^2*x3^2-2*q^-1*x2^2*x3^2-q^-2*x2^2*x3^2-q^-3*x2^2*x3^2-q*x1+q^2*x1*x3-q*x1*x3-x1*x3+q^3*x1*x3^2+q^2*x1*x3^2-q*x1*x3^2-x1*x3^2-q^-1*x1*x3^2-q*x1*x2+q^3*x1*x2*x3+2*q^2*x1*x2*x3-q*x1*x2*x3-2*x1*x2*x3-q^-1*x1*x2*x3-q^5*x1*x2*x3^2+3*q^3*x1*x2*x3^2+4*q^2*x1*x2*x3^2+q*x1*x2*x3^2-2*x1*x2*x3^2-3*q^-1*x1*x2*x3^2-2*q^-2*x1*x2*x3^2-q^-3*x1*x2*x3^2-q*x1*x2^2+q^3*x1*x2^2*x3+3*q^2*x1*x2^2*x3-2*x1*x2^2*x3-2*q^-1*x1*x2^2*x3-q^-2*x1*x2^2*x3-q^6*x1*x2^2*x3^2-2*q^5*x1*x2^2*x3^2-2*q^4*x1*x2^2*x3^2+3*q^3*x1*x2^2*x3^2+7*q^2*x1*x2^2*x3^2+6*q*x1*x2^2*x3^2+2*x1*x2^2*x3^2-3*q^-1*x1*x2^2*x3^2-4*q^-2*x1*x2^2*x3^2-4*q^-3*x1*x2^2*x3^2-2*q^-4*x1*x2^2*x3^2-q^-5*x1*x2^2*x3^2-q*x1^2+q^2*x1^2*x3-x1^2*x3-q^-1*x1^2*x3-q^4*x1^2*x3^2+q^3*x1^2*x3^2+2*q^2*x1^2*x3^2+q*x1^2*x3^2-2*q^-1*x1^2*x3^2-q^-2*x1^2*x3^2-q^-3*x1^2*x3^2-q*x1^2*x2+q^3*x1^2*x2*x3+3*q^2*x1^2*x2*x3-2*x1^2*x2*x3-2*q^-1*x1^2*x2*x3-q^-2*x1^2*x2*x3-q^6*x1^2*x2*x3^2-2*q^5*x1^2*x2*x3^2-2*q^4*x1^2*x2*x3^2+3*q^3*x1^2*x2*x3^2+7*q^2*x1^2*x2*x3^2+6*q*x1^2*x2*x3^2+2*x1^2*x2*x3^2-3*q^-1*x1^2*x2*x3^2-4*q^-2*x1^2*x2*x3^2-4*q^-3*x1^2*x2*x3^2-2*q^-4*x1^2*x2*x3^2-q^-5*x1^2*x2*x3^2-q*x1^2*x2^2-q^5*x1^2*x2^2*x3+3*q^3*x1^2*x2^2*x3+4*q^2*x1^2*x2^2*x3+q*x1^2*x2^2*x3-2*x1^2*x2^2*x3-3*q^-1*x1^2*x2^2*x3-2*q^-2*x1^2*x2^2*x3-q^-3*x1^2*x2^2*x3-4*q^6*x1^2*x2^2*x3^2-6*q^5*x1^2*x2^2*x3^2-6*q^4*x1^2*x2^2*x3^2+4*q^3*x1^2*x2^2*x3^2+12*q^2*x1^2*x2^2*x3^2+14*q*x1^2*x2^2*x3^2+10*x1^2*x2^2*x3^2+q^-1*x1^2*x2^2*x3^2-4*q^-2*x1^2*x2^2*x3^2-8*q^-3*x1^2*x2^2*x3^2-6*q^-4*x1^2*x2^2*x3^2-5*q^-5*x1^2*x2^2*x3^2-2*q^-6*x1^2*x2^2*x3^2-q^-7*x1^2*x2^2*x3^2
L8n5{1;0} 9 {-2,3,3,2,-3,1,-2,3,1} [[-1, 1, -1, 1, -1, -1, -1, 1], [1, -1, 1, 1, 1, -1], [-1, 1, 1, 1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -q-q*x3-q*x3^2-q*x2+q^2*x2*x3-q*x2*x3-x2*x3+q^3*x2*x3^2+q^2*x2*x3^2-q*x2*x3^2-x2*x3^2-q^-1*x2*x3^2-q*x2^2+q^2*x2^2*x3-x2^2*x3-q^-1*x2^2*x3-q^4*x2^2*x3^2+q^3*x2^2*x3^2+2*q^2*x2^2*x3^2+q*x2^2*x3^2-2*q^-1*x2^2*x3^2-q^-2*x2^2*x3^2-q^-3*x2^2*x3^2-q*x1+q^2*x1*x3-q*x1*x3-x1*x3+q^3*x1*x3^2+q^2*x1*x3^2-q*x1*x3^2-x1*x3^2-q^-1*x1*x3^2-q*x1*x2+q^3*x1*x2*x3+2*q^2*x1*x2*x3-q*x1*x2*x3-2*x1*x2*x3-q^-1*x1*x2*x3-q^5*x1*x2*x3^2+3*q^3*x1*x2*x3^2+4*q^2*x1*x2*x3^2+q*x1*x2*x3^2-2*x1*x2*x3^2-3*q^-1*x1*x2*x3^2-2*q^-2*x1*x2*x3^2-q^-3*x1*x2*x3^2-q*x1*x2^2+q^3*x1*x2^2*x3+3*q^2*x1*x2^2*x3-2*x1*x2^2*x3-2*q^-1*x1*x2^2*x3-q^-2*x1*x2^2*x3-q^6*x1*x2^2*x3^2-2*q^5*x1*x2^2*x3^2-2*q^4*x1*x2^2*x3^2+3*q^3*x1*x2^2*x3^2+7*q^2*x1*x2^2*x3^2+6*q*x1*x2^2*x3^2+2*x1*x2^2*x3^2-3*q^-1*x1*x2^2*x3^2-4*q^-2*x1*x2^2*x3^2-4*q^-3*x1*x2^2*x3^2-2*q^-4*x1*x2^2*x3^2-q^-5*x1*x2^2*x3^2-q*x1^2+q^2*x1^2*x3-x1^2*x3-q^-1*x1^2*x3-q^4*x1^2*x3^2+q^3*x1^2*x3^2+2*q^2*x1^2*x3^2+q*x1^2*x3^2-2*q^-1*x1^2*x3^2-q^-2*x1^2*x3^2-q^-3*x1^2*x3^2-q*x1^2*x2+q^3*x1^2*x2*x3+3*q^2*x1^2*x2*x3-2*x1^2*x2*x3-2*q^-1*x1^2*x2*x3-q^-2*x1^2*x2*x3-q^6*x1^2*x2*x3^2-2*q^5*x1^2*x2*x3^2-2*q^4*x1^2*x2*x3^2+3*q^3*x1^2*x2*x3^2+7*q^2*x1^2*x2*x3^2+6*q*x1^2*x2*x3^2+2*x1^2*x2*x3^2-3*q^-1*x1^2*x2*x3^2-4*q^-2*x1^2*x2*x3^2-4*q^-3*x1^2*x2*x3^2-2*q^-4*x1^2*x2*x3^2-q^-5*x1^2*x2*x3^2-q*x1^2*x2^2-q^5*x1^2*x2^2*x3+3*q^3*x1^2*x2^2*x3+4*q^2*x1^2*x2^2*x3+q*x1^2*x2^2*x3-2*x1^2*x2^2*x3-3*q^-1*x1^2*x2^2*x3-2*q^-2*x1^2*x2^2*x3-q^-3*x1^2*x2^2*x3-4*q^6*x1^2*x2^2*x3^2-6*q^5*x1^2*x2^2*x3^2-6*q^4*x1^2*x2^2*x3^2+4*q^3*x1^2*x2^2*x3^2+12*q^2*x1^2*x2^2*x3^2+14*q*x1^2*x2^2*x3^2+10*x1^2*x2^2*x3^2+q^-1*x1^2*x2^2*x3^2-4*q^-2*x1^2*x2^2*x3^2-8*q^-3*x1^2*x2^2*x3^2-6*q^-4*x1^2*x2^2*x3^2-5*q^-5*x1^2*x2^2*x3^2-2*q^-6*x1^2*x2^2*x3^2-q^-7*x1^2*x2^2*x3^2
L8n5{1;0} 9 {-2,3,3,2,-3,1,-2,3,1} [[1, 1, -1, 1, -1, -1, -1, 1], [1, -1, 1, 1, 1, 1], [-1, 1, 1, 1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -q-q*x3-q*x3^2-q*x2+q^2*x2*x3-q*x2*x3-x2*x3+q^3*x2*x3^2+q^2*x2*x3^2-q*x2*x3^2-x2*x3^2-q^-1*x2*x3^2-q*x2^2+q^2*x2^2*x3-x2^2*x3-q^-1*x2^2*x3-q^4*x2^2*x3^2+q^3*x2^2*x3^2+2*q^2*x2^2*x3^2+q*x2^2*x3^2-2*q^-1*x2^2*x3^2-q^-2*x2^2*x3^2-q^-3*x2^2*x3^2-q*x1+q^2*x1*x3-q*x1*x3-x1*x3+q^3*x1*x3^2+q^2*x1*x3^2-q*x1*x3^2-x1*x3^2-q^-1*x1*x3^2-q*x1*x2+q^3*x1*x2*x3+2*q^2*x1*x2*x3-q*x1*x2*x3-2*x1*x2*x3-q^-1*x1*x2*x3-q^5*x1*x2*x3^2+3*q^3*x1*x2*x3^2+4*q^2*x1*x2*x3^2+q*x1*x2*x3^2-2*x1*x2*x3^2-3*q^-1*x1*x2*x3^2-2*q^-2*x1*x2*x3^2-q^-3*x1*x2*x3^2-q*x1*x2^2+q^3*x1*x2^2*x3+3*q^2*x1*x2^2*x3-2*x1*x2^2*x3-2*q^-1*x1*x2^2*x3-q^-2*x1*x2^2*x3-q^6*x1*x2^2*x3^2-2*q^5*x1*x2^2*x3^2-2*q^4*x1*x2^2*x3^2+3*q^3*x1*x2^2*x3^2+7*q^2*x1*x2^2*x3^2+6*q*x1*x2^2*x3^2+2*x1*x2^2*x3^2-3*q^-1*x1*x2^2*x3^2-4*q^-2*x1*x2^2*x3^2-4*q^-3*x1*x2^2*x3^2-2*q^-4*x1*x2^2*x3^2-q^-5*x1*x2^2*x3^2-q*x1^2+q^2*x1^2*x3-x1^2*x3-q^-1*x1^2*x3-q^4*x1^2*x3^2+q^3*x1^2*x3^2+2*q^2*x1^2*x3^2+q*x1^2*x3^2-2*q^-1*x1^2*x3^2-q^-2*x1^2*x3^2-q^-3*x1^2*x3^2-q*x1^2*x2+q^3*x1^2*x2*x3+3*q^2*x1^2*x2*x3-2*x1^2*x2*x3-2*q^-1*x1^2*x2*x3-q^-2*x1^2*x2*x3-q^6*x1^2*x2*x3^2-2*q^5*x1^2*x2*x3^2-2*q^4*x1^2*x2*x3^2+3*q^3*x1^2*x2*x3^2+7*q^2*x1^2*x2*x3^2+6*q*x1^2*x2*x3^2+2*x1^2*x2*x3^2-3*q^-1*x1^2*x2*x3^2-4*q^-2*x1^2*x2*x3^2-4*q^-3*x1^2*x2*x3^2-2*q^-4*x1^2*x2*x3^2-q^-5*x1^2*x2*x3^2-q*x1^2*x2^2-q^5*x1^2*x2^2*x3+3*q^3*x1^2*x2^2*x3+4*q^2*x1^2*x2^2*x3+q*x1^2*x2^2*x3-2*x1^2*x2^2*x3-3*q^-1*x1^2*x2^2*x3-2*q^-2*x1^2*x2^2*x3-q^-3*x1^2*x2^2*x3-4*q^6*x1^2*x2^2*x3^2-6*q^5*x1^2*x2^2*x3^2-6*q^4*x1^2*x2^2*x3^2+4*q^3*x1^2*x2^2*x3^2+12*q^2*x1^2*x2^2*x3^2+14*q*x1^2*x2^2*x3^2+10*x1^2*x2^2*x3^2+q^-1*x1^2*x2^2*x3^2-4*q^-2*x1^2*x2^2*x3^2-8*q^-3*x1^2*x2^2*x3^2-6*q^-4*x1^2*x2^2*x3^2-5*q^-5*x1^2*x2^2*x3^2-2*q^-6*x1^2*x2^2*x3^2-q^-7*x1^2*x2^2*x3^2
L8n5{1;1} 8 {-1,2,-1,2,-1,-2,-2,-2} [[-1, -1, 1, -1], [-1, -1, -1, 1, 1, -1], [1, -1, -1, -1, -1, 1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -q^-1-q^-1*x3-q^-1*x3^2-q^-1*x2-q^-1*x2*x3-q^-1*x2*x3^2-q^-1*x2^2-q^-1*x2^2*x3-q^-1*x2^2*x3^2-q*x1-q^2*x1*x3-q*x1*x3+x1*x3-q^3*x1*x3^2-q^2*x1*x3^2+x1*x3^2-q^2*x1*x2-q*x1*x2+x1*x2-q^3*x1*x2*x3-2*q^2*x1*x2*x3-q*x1*x2*x3+2*x1*x2*x3+q^-1*x1*x2*x3-q^4*x1*x2*x3^2-2*q^3*x1*x2*x3^2-2*q^2*x1*x2*x3^2+3*x1*x2*x3^2+q^-1*x1*x2*x3^2-q^3*x1*x2^2-q^2*x1*x2^2+x1*x2^2-q^4*x1*x2^2*x3-2*q^3*x1*x2^2*x3-2*q^2*x1*x2^2*x3+3*x1*x2^2*x3+q^-1*x1*x2^2*x3-q^5*x1*x2^2*x3^2-2*q^4*x1*x2^2*x3^2-3*q^3*x1*x2^2*x3^2-2*q^2*x1*x2^2*x3^2+q*x1*x2^2*x3^2+4*x1*x2^2*x3^2+3*q^-1*x1*x2^2*x3^2-q^-3*x1*x2^2*x3^2-q^5*x1^2-q^7*x1^2*x3-q^6*x1^2*x3-q^5*x1^2*x3+q^4*x1^2*x3+q^3*x1^2*x3-q^9*x1^2*x3^2-q^8*x1^2*x3^2-2*q^7*x1^2*x3^2+q^5*x1^2*x3^2+2*q^4*x1^2*x3^2+q^3*x1^2*x3^2-q^2*x1^2*x3^2-q^7*x1^2*x2-q^6*x1^2*x2-q^5*x1^2*x2+q^4*x1^2*x2+q^3*x1^2*x2-q^9*x1^2*x2*x3-2*q^8*x1^2*x2*x3-3*q^7*x1^2*x2*x3-2*q^6*x1^2*x2*x3+q^5*x1^2*x2*x3+4*q^4*x1^2*x2*x3+3*q^3*x1^2*x2*x3-q*x1^2*x2*x3-q^11*x1^2*x2*x3^2-2*q^10*x1^2*x2*x3^2-4*q^9*x1^2*x2*x3^2-4*q^8*x1^2*x2*x3^2-3*q^7*x1^2*x2*x3^2+2*q^6*x1^2*x2*x3^2+6*q^5*x1^2*x2*x3^2+7*q^4*x1^2*x2*x3^2+3*q^3*x1^2*x2*x3^2-2*q^2*x1^2*x2*x3^2-2*q*x1^2*x2*x3^2-x1^2*x2*x3^2-q^9*x1^2*x2^2-q^8*x1^2*x2^2-2*q^7*x1^2*x2^2+q^5*x1^2*x2^2+2*q^4*x1^2*x2^2+q^3*x1^2*x2^2-q^2*x1^2*x2^2-q^11*x1^2*x2^2*x3-2*q^10*x1^2*x2^2*x3-4*q^9*x1^2*x2^2*x3-4*q^8*x1^2*x2^2*x3-3*q^7*x1^2*x2^2*x3+2*q^6*x1^2*x2^2*x3+6*q^5*x1^2*x2^2*x3+7*q^4*x1^2*x2^2*x3+3*q^3*x1^2*x2^2*x3-2*q^2*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3-x1^2*x2^2*x3-q^13*x1^2*x2^2*x3^2-2*q^12*x1^2*x2^2*x3^2-5*q^11*x1^2*x2^2*x3^2-6*q^10*x1^2*x2^2*x3^2-8*q^9*x1^2*x2^2*x3^2-4*q^8*x1^2*x2^2*x3^2+q^7*x1^2*x2^2*x3^2+10*q^6*x1^2*x2^2*x3^2+14*q^5*x1^2*x2^2*x3^2+12*q^4*x1^2*x2^2*x3^2+4*q^3*x1^2*x2^2*x3^2-6*q^2*x1^2*x2^2*x3^2-6*q*x1^2*x2^2*x3^2-4*x1^2*x2^2*x3^2
L8n5{1;1} 8 {-1,2,-1,2,-1,-2,-2,-2} [[1, -1, 1, -1], [-1, 1, -1, 1, 1, -1], [1, -1, 1, -1, -1, 1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -q^-1-q^-1*x3-q^-1*x3^2-q^-1*x2-q^-1*x2*x3-q^-1*x2*x3^2-q^-1*x2^2-q^-1*x2^2*x3-q^-1*x2^2*x3^2-q*x1-q^2*x1*x3-q*x1*x3+x1*x3-q^3*x1*x3^2-q^2*x1*x3^2+x1*x3^2-q^2*x1*x2-q*x1*x2+x1*x2-q^3*x1*x2*x3-2*q^2*x1*x2*x3-q*x1*x2*x3+2*x1*x2*x3+q^-1*x1*x2*x3-q^4*x1*x2*x3^2-2*q^3*x1*x2*x3^2-2*q^2*x1*x2*x3^2+3*x1*x2*x3^2+q^-1*x1*x2*x3^2-q^3*x1*x2^2-q^2*x1*x2^2+x1*x2^2-q^4*x1*x2^2*x3-2*q^3*x1*x2^2*x3-2*q^2*x1*x2^2*x3+3*x1*x2^2*x3+q^-1*x1*x2^2*x3-q^5*x1*x2^2*x3^2-2*q^4*x1*x2^2*x3^2-3*q^3*x1*x2^2*x3^2-2*q^2*x1*x2^2*x3^2+q*x1*x2^2*x3^2+4*x1*x2^2*x3^2+3*q^-1*x1*x2^2*x3^2-q^-3*x1*x2^2*x3^2-q^5*x1^2-q^7*x1^2*x3-q^6*x1^2*x3-q^5*x1^2*x3+q^4*x1^2*x3+q^3*x1^2*x3-q^9*x1^2*x3^2-q^8*x1^2*x3^2-2*q^7*x1^2*x3^2+q^5*x1^2*x3^2+2*q^4*x1^2*x3^2+q^3*x1^2*x3^2-q^2*x1^2*x3^2-q^7*x1^2*x2-q^6*x1^2*x2-q^5*x1^2*x2+q^4*x1^2*x2+q^3*x1^2*x2-q^9*x1^2*x2*x3-2*q^8*x1^2*x2*x3-3*q^7*x1^2*x2*x3-2*q^6*x1^2*x2*x3+q^5*x1^2*x2*x3+4*q^4*x1^2*x2*x3+3*q^3*x1^2*x2*x3-q*x1^2*x2*x3-q^11*x1^2*x2*x3^2-2*q^10*x1^2*x2*x3^2-4*q^9*x1^2*x2*x3^2-4*q^8*x1^2*x2*x3^2-3*q^7*x1^2*x2*x3^2+2*q^6*x1^2*x2*x3^2+6*q^5*x1^2*x2*x3^2+7*q^4*x1^2*x2*x3^2+3*q^3*x1^2*x2*x3^2-2*q^2*x1^2*x2*x3^2-2*q*x1^2*x2*x3^2-x1^2*x2*x3^2-q^9*x1^2*x2^2-q^8*x1^2*x2^2-2*q^7*x1^2*x2^2+q^5*x1^2*x2^2+2*q^4*x1^2*x2^2+q^3*x1^2*x2^2-q^2*x1^2*x2^2-q^11*x1^2*x2^2*x3-2*q^10*x1^2*x2^2*x3-4*q^9*x1^2*x2^2*x3-4*q^8*x1^2*x2^2*x3-3*q^7*x1^2*x2^2*x3+2*q^6*x1^2*x2^2*x3+6*q^5*x1^2*x2^2*x3+7*q^4*x1^2*x2^2*x3+3*q^3*x1^2*x2^2*x3-2*q^2*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3-x1^2*x2^2*x3-q^13*x1^2*x2^2*x3^2-2*q^12*x1^2*x2^2*x3^2-5*q^11*x1^2*x2^2*x3^2-6*q^10*x1^2*x2^2*x3^2-8*q^9*x1^2*x2^2*x3^2-4*q^8*x1^2*x2^2*x3^2+q^7*x1^2*x2^2*x3^2+10*q^6*x1^2*x2^2*x3^2+14*q^5*x1^2*x2^2*x3^2+12*q^4*x1^2*x2^2*x3^2+4*q^3*x1^2*x2^2*x3^2-6*q^2*x1^2*x2^2*x3^2-6*q*x1^2*x2^2*x3^2-4*x1^2*x2^2*x3^2
L8n6{0;0} 9 {-2,-2,-3,-1,-2,3,-2,-3,-1} [[-1, -1, -1, -1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1], [-1, -1, -1, -1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -q^-1*x1^-2*x2^2*x3^2+q^-2*x1^-1*x2*x3-q^-2-q^-6*x2^2*x3^2+q^-5*x1*x2*x3-q^-3*x1^2-q^-11*x1^2*x2^2*x3^2
L8n6{0;0} 9 {-2,-2,-3,-1,-2,3,-2,-3,-1} [[-1, -1, -1, 1, 1, 1, 1, 1, -1, -1], [-1, -1, -1, -1], [-1, -1, -1, -1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -q^-1*x1*x2^-1*x3^-1+q*x1^2*x2^-2*x3^-2
L8n6{0;0} 9 {-2,-2,-3,-1,-2,3,-2,-3,-1} [[1, -1, -1, -1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, 1], [-1, -1, -1, -1]] 1 -q^-1*x1^-2*x2^2*x3^2+q^-2*x1^-1*x2*x3-q^-2-q^-6*x2^2*x3^2+q^-5*x1*x2*x3-q^-3*x1^2-q^-11*x1^2*x2^2*x3^2
L8n6{0;0} 9 {-2,-2,-3,-1,-2,3,-2,-3,-1} [[1, -1, -1, 1, 1, 1, 1, 1, -1, -1], [-1, -1, -1, 1], [-1, -1, -1, -1]] 1 -q^-1*x1*x2^-1*x3^-1+q*x1^2*x2^-2*x3^-2
L8n6{0;1} 9 {-2,3,-2,-3,1,2,2,-3,1} [[-1, 1, 1, 1], [1, -1, -1, -1, -1, -1, -1, -1, 1, -1], [-1, 1, -1, -1]] 1 -q*x1^-3*x2^-2*x3^2-q^-4*x1^-3*x3^2-q^-9*x1^-3*x2^2*x3^2+x1^-2*x2^-1*x3+q^-3*x1^-2*x2*x3-x1^-1-q^-1*x1^-1*x2^2
L8n6{0;1} 9 {-2,3,-2,-3,1,2,2,-3,1} [[-1, 1, 1, 1], [1, -1, 1, 1, 1, 1, 1, -1, 1, -1], [-1, 1, -1, -1]] 1 -q*x2*x3^-1+q^3*x1*x2^2*x3^-2
L8n6{0;1} 9 {-2,3,-2,-3,1,2,2,-3,1} [[1, 1, 1, 1], [1, -1, -1, -1, -1, -1, -1, -1, 1, 1], [-1, 1, -1, -1]] 1 -q*x1^-3*x2^-2*x3^2-q^-4*x1^-3*x3^2-q^-9*x1^-3*x2^2*x3^2+x1^-2*x2^-1*x3+q^-3*x1^-2*x2*x3-x1^-1-q^-1*x1^-1*x2^2
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