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)
L2a1{0} 2 {-1,-1} [[-1, -1], [-1, -1]] 1 -q^-1
L2a1{0} 2 {-1,-1} [[1, -1], [-1, 1]] 1 -q^-1
L2a1{1} 2 {1,1} [[-1, 1], [1, -1]] 1 -1
L2a1{1} 2 {1,1} [[1, 1], [1, 1]] 1 -1
L4a1{0} 5 {-2,-2,-1,2,-1} [[-1, -1, -1, -1, -1, -1], [-1, -1, -1, -1]] x1^(1/2)*x2^(1/2) -q^2*x1^-3*x2^2+x1^-2*x2-q^-1*x1^-1
L4a1{0} 5 {-2,-2,-1,2,-1} [[-1, -1, 1, 1, 1, -1], [-1, -1, -1, -1]] x1^(1/2)*x2^(1/2) -q^-1*x2^-1+x1*x2^-2-q^2*x1^2*x2^-3
L4a1{0} 5 {-2,-2,-1,2,-1} [[1, -1, -1, -1, -1, -1], [-1, -1, -1, 1]] 1 -q^2*x1^-3*x2^2+x1^-2*x2-q^-1*x1^-1
L4a1{0} 5 {-2,-2,-1,2,-1} [[1, -1, 1, 1, 1, -1], [-1, -1, -1, 1]] x1^(1/2)*x2^(1/2) -q^-1*x2^-1+x1*x2^-2-q^2*x1^2*x2^-3
L4a1{1} 4 {1,1,1,1} [[-1, 1, -1, 1], [1, -1, 1, -1]] x1^(1/2)*x2^(1/2) -q+q^2*x1*x2-q^4*x1^2*x2^2
L4a1{1} 4 {1,1,1,1} [[1, 1, 1, 1], [1, 1, 1, 1]] 1 -q+q^2*x1*x2-q^4*x1^2*x2^2
L5a1{0} 5 {-1,2,-1,2,-1} [[-1, -1, 1, -1], [-1, -1, -1, 1, -1, -1]] x1^(1/2)*x2^(1/2) -q^-1-q^-1*x2-q^-1*x2^2-q^-1*x1-x1*x2-q^-1*x1*x2+q^-2*x1*x2-q*x1*x2^2-x1*x2^2-q^-1*x1*x2^2+q^-2*x1*x2^2+q^-3*x1*x2^2-q^-1*x1^2-q*x1^2*x2-x1^2*x2-q^-1*x1^2*x2+q^-2*x1^2*x2+q^-3*x1^2*x2-q^3*x1^2*x2^2-q^2*x1^2*x2^2-2*q*x1^2*x2^2-x1^2*x2^2+2*q^-2*x1^2*x2^2+2*q^-3*x1^2*x2^2
L5a1{0} 5 {-1,2,-1,2,-1} [[1, -1, 1, -1], [-1, 1, -1, 1, -1, 1]] x1^(1/2)*x2^(1/2) -q^-1-q^-1*x2-q^-1*x2^2-q^-1*x1-x1*x2-q^-1*x1*x2+q^-2*x1*x2-q*x1*x2^2-x1*x2^2-q^-1*x1*x2^2+q^-2*x1*x2^2+q^-3*x1*x2^2-q^-1*x1^2-q*x1^2*x2-x1^2*x2-q^-1*x1^2*x2+q^-2*x1^2*x2+q^-3*x1^2*x2-q^3*x1^2*x2^2-q^2*x1^2*x2^2-2*q*x1^2*x2^2-x1^2*x2^2+2*q^-2*x1^2*x2^2+2*q^-3*x1^2*x2^2
L5a1{1} 5 {-1,2,-1,2,-1} [[-1, -1, 1, -1], [-1, -1, -1, 1, -1, -1]] 1 -q^-1-q^-1*x2-q^-1*x2^2-q^-1*x1-x1*x2-q^-1*x1*x2+q^-2*x1*x2-q*x1*x2^2-x1*x2^2-q^-1*x1*x2^2+q^-2*x1*x2^2+q^-3*x1*x2^2-q^-1*x1^2-q*x1^2*x2-x1^2*x2-q^-1*x1^2*x2+q^-2*x1^2*x2+q^-3*x1^2*x2-q^3*x1^2*x2^2-q^2*x1^2*x2^2-2*q*x1^2*x2^2-x1^2*x2^2+2*q^-2*x1^2*x2^2+2*q^-3*x1^2*x2^2
L5a1{1} 5 {-1,2,-1,2,-1} [[1, -1, 1, -1], [-1, 1, -1, 1, -1, 1]] x1^(1/2)*x2^(1/2) -q^-1-q^-1*x2-q^-1*x2^2-q^-1*x1-x1*x2-q^-1*x1*x2+q^-2*x1*x2-q*x1*x2^2-x1*x2^2-q^-1*x1*x2^2+q^-2*x1*x2^2+q^-3*x1*x2^2-q^-1*x1^2-q*x1^2*x2-x1^2*x2-q^-1*x1^2*x2+q^-2*x1^2*x2+q^-3*x1^2*x2-q^3*x1^2*x2^2-q^2*x1^2*x2^2-2*q*x1^2*x2^2-x1^2*x2^2+2*q^-2*x1^2*x2^2+2*q^-3*x1^2*x2^2
L6a1{0} 8 {1,-2,3,-2,1,-2,-3,-2} [[-1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1], [-1, 1, -1, 1]] x1^(1/2)*x2^(1/2) -q^-1-2*q^-1*x2-x2^2-3*q^-1*x2^2-2*q^-1*x1-x1*x2-4*q^-1*x1*x2-2*q^-2*x1*x2-2*q*x1*x2^2-4*x1*x2^2-8*q^-1*x1*x2^2-4*q^-2*x1*x2^2-2*q^-3*x1*x2^2-x1^2-3*q^-1*x1^2-2*q*x1^2*x2-4*x1^2*x2-8*q^-1*x1^2*x2-4*q^-2*x1^2*x2-2*q^-3*x1^2*x2-q^3*x1^2*x2^2-4*q^2*x1^2*x2^2-9*q*x1^2*x2^2-14*x1^2*x2^2-19*q^-1*x1^2*x2^2-13*q^-2*x1^2*x2^2-9*q^-3*x1^2*x2^2-2*q^-4*x1^2*x2^2-2*q^-5*x1^2*x2^2
L6a1{0} 8 {1,-2,3,-2,1,-2,-3,-2} [[1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1], [-1, 1, -1, 1]] x1^(1/2)*x2^(1/2) -q^-1-2*q^-1*x2-x2^2-3*q^-1*x2^2-2*q^-1*x1-x1*x2-4*q^-1*x1*x2-2*q^-2*x1*x2-2*q*x1*x2^2-4*x1*x2^2-8*q^-1*x1*x2^2-4*q^-2*x1*x2^2-2*q^-3*x1*x2^2-x1^2-3*q^-1*x1^2-2*q*x1^2*x2-4*x1^2*x2-8*q^-1*x1^2*x2-4*q^-2*x1^2*x2-2*q^-3*x1^2*x2-q^3*x1^2*x2^2-4*q^2*x1^2*x2^2-9*q*x1^2*x2^2-14*x1^2*x2^2-19*q^-1*x1^2*x2^2-13*q^-2*x1^2*x2^2-9*q^-3*x1^2*x2^2-2*q^-4*x1^2*x2^2-2*q^-5*x1^2*x2^2
L6a2{0} 7 {-1,2,-1,-2,-2,-1,-1} [[-1, -1, -1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1]] 1 q^-1*x1^-1*x2^2-q^-2*x2-q^-2*x2^2+q^-3*x1*x2^2
L6a2{0} 7 {-1,2,-1,-2,-2,-1,-1} [[-1, -1, 1, 1, 1, -1, -1, -1], [-1, -1, -1, -1, -1, -1]] 1 -q^-2*x1+q^-1*x1^2*x2^-1-q^-2*x1^2+q^-3*x1^2*x2
L6a2{0} 7 {-1,2,-1,-2,-2,-1,-1} [[1, -1, -1, -1, -1, -1, 1, -1], [-1, 1, -1, -1, -1, 1]] 1 q^-1*x1^-1*x2^2-q^-2*x2-q^-2*x2^2+q^-3*x1*x2^2
L6a2{0} 7 {-1,2,-1,-2,-2,-1,-1} [[1, -1, 1, 1, 1, -1, 1, -1], [-1, 1, -1, -1, -1, 1]] 1 -q^-2*x1+q^-1*x1^2*x2^-1-q^-2*x1^2+q^-3*x1^2*x2
L6a2{1} 7 {1,-2,1,2,2,1,1} [[-1, 1, -1, -1, -1, 1, -1, 1], [1, -1, 1, 1, 1, -1]] 1 -q*x1+x1^2*x2^-1-q*x1^2+q^2*x1^2*x2
L6a2{1} 7 {1,-2,1,2,2,1,1} [[-1, 1, 1, 1, 1, 1, -1, 1], [1, -1, 1, 1, 1, -1]] 1 x1^-1*x2^2-q*x2-q*x2^2+q^2*x1*x2^2
L6a2{1} 7 {1,-2,1,2,2,1,1} [[1, 1, -1, -1, -1, 1, 1, 1], [1, 1, 1, 1, 1, 1]] 1 -q*x1+x1^2*x2^-1-q*x1^2+q^2*x1^2*x2
L6a2{1} 7 {1,-2,1,2,2,1,1} [[1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1]] 1 x1^-1*x2^2-q*x2-q*x2^2+q^2*x1*x2^2
L6a3{0} 6 {-1,-1,-1,-1,-1,-1} [[-1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1]] 1 -q^-3*x1*x2+q^-4*x1^2*x2^2
L6a3{0} 6 {-1,-1,-1,-1,-1,-1} [[1, -1, 1, -1, 1, -1], [-1, 1, -1, 1, -1, 1]] 1 -q^-3*x1*x2+q^-4*x1^2*x2^2
L7a1{0} 7 {-1,2,-1,2,-1,2,2} [[-1, -1, 1, -1], [-1, -1, -1, 1, -1, 1, -1, -1, -1, 1]] 1 -x2-2*x2^2-x1*x2-2*x1*x2^2-x1^2*x2-2*x1^2*x2^2
L7a1{0} 7 {-1,2,-1,2,-1,2,2} [[1, -1, 1, -1], [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1]] 1 -x2-2*x2^2-x1*x2-2*x1*x2^2-x1^2*x2-2*x1^2*x2^2
L7a1{1} 7 {-1,2,-1,2,-1,2,2} [[-1, -1, 1, -1], [-1, -1, -1, 1, -1, 1, -1, -1, -1, 1]] 1 -x2-2*x2^2-x1*x2-2*x1*x2^2-x1^2*x2-2*x1^2*x2^2
L7a1{1} 7 {-1,2,-1,2,-1,2,2} [[1, -1, 1, -1], [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1]] x1^(1/2)*x2^(1/2) -x2-2*x2^2-x1*x2-2*x1*x2^2-x1^2*x2-2*x1^2*x2^2
L7a2{0} 8 {-2,-2,-2,-3,-1,2,-3,-1} [[-1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1, -1, -1, -1]] 1 2*q^-1*x1^-2*x2^2-q^-2*x1^-1*x2-2*q^-2*x1^-1*x2^2
L7a2{0} 8 {-2,-2,-2,-3,-1,2,-3,-1} [[1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1, -1, -1, 1]] 1 2*q^-1*x1^-2*x2^2-q^-2*x1^-1*x2-2*q^-2*x1^-1*x2^2
L7a2{1} 7 {-1,-1,2,2,-1,2,2} [[-1, -1, -1, -1, 1, -1, -1, -1, 1, -1], [1, -1, 1, -1]] x1^(1/2)*x2^(1/2) -x1-2*x1^2+2*q*x1^2*x2
L7a2{1} 7 {-1,-1,2,2,-1,2,2} [[1, -1, 1, -1, 1, -1, 1, -1, 1, -1], [1, -1, 1, -1]] 1 -x1-2*x1^2+2*q*x1^2*x2
L7a3{0} 7 {1,-2,1,1,1,-2,1} [[-1, 1, -1, 1], [1, -1, 1, -1, 1, -1, 1, -1, 1, -1]] 1 -q*x2-q*x2^2-q*x1*x2+q^2*x1*x2^2-q*x1*x2^2-x1*x2^2-q*x1^2*x2+q^3*x1^2*x2^2+q^2*x1^2*x2^2-q*x1^2*x2^2-x1^2*x2^2-q^-1*x1^2*x2^2
L7a3{0} 7 {1,-2,1,1,1,-2,1} [[1, 1, -1, 1], [1, 1, 1, 1, 1, -1, 1, 1, 1, 1]] x1^(1/2)*x2^(1/2) -q*x2-q*x2^2-q*x1*x2+q^2*x1*x2^2-q*x1*x2^2-x1*x2^2-q*x1^2*x2+q^3*x1^2*x2^2+q^2*x1^2*x2^2-q*x1^2*x2^2-x1^2*x2^2-q^-1*x1^2*x2^2
L7a3{1} 7 {1,-2,1,1,1,-2,1} [[-1, 1, -1, 1], [1, -1, 1, -1, 1, -1, 1, -1, 1, -1]] x1^(1/2)*x2^(1/2) -q*x2-q*x2^2-q*x1*x2+q^2*x1*x2^2-q*x1*x2^2-x1*x2^2-q*x1^2*x2+q^3*x1^2*x2^2+q^2*x1^2*x2^2-q*x1^2*x2^2-x1^2*x2^2-q^-1*x1^2*x2^2
L7a3{1} 7 {1,-2,1,1,1,-2,1} [[1, 1, -1, 1], [1, 1, 1, 1, 1, -1, 1, 1, 1, 1]] 1 -q*x2-q*x2^2-q*x1*x2+q^2*x1*x2^2-q*x1*x2^2-x1*x2^2-q*x1^2*x2+q^3*x1^2*x2^2+q^2*x1^2*x2^2-q*x1^2*x2^2-x1^2*x2^2-q^-1*x1^2*x2^2
L7a5{0} 8 {2,-1,-2,-2,3,-2,3,-1} [[-1, -1, -1, -1, -1, 1, -1, -1], [-1, -1, -1, -1, 1, -1, -1, -1]] 1 -q^-1*x1-q^-1*x1*x2-q^-1*x1*x2^2+x1^2*x2^-1+x1^2-2*q^-1*x1^2-2*q^-1*x1^2*x2-q*x1^2*x2^2-2*q^-1*x1^2*x2^2
L7a5{0} 8 {2,-1,-2,-2,3,-2,3,-1} [[-1, -1, -1, 1, 1, 1, -1, -1], [-1, 1, 1, -1, 1, 1, -1, -1]] 1 x1^-1*x2^2-q^-1*x2+x2^2-2*q^-1*x2^2-q^-1*x1*x2-2*q^-1*x1*x2^2-q^-1*x1^2*x2-q*x1^2*x2^2-2*q^-1*x1^2*x2^2
L7a5{0} 8 {2,-1,-2,-2,3,-2,3,-1} [[1, -1, -1, -1, -1, 1, -1, -1], [-1, -1, -1, -1, 1, -1, -1, 1]] 1 -q^-1*x1-q^-1*x1*x2-q^-1*x1*x2^2+x1^2*x2^-1+x1^2-2*q^-1*x1^2-2*q^-1*x1^2*x2-q*x1^2*x2^2-2*q^-1*x1^2*x2^2
L7a5{0} 8 {2,-1,-2,-2,3,-2,3,-1} [[1, -1, -1, 1, 1, 1, -1, -1], [-1, 1, 1, -1, 1, 1, -1, 1]] 1 x1^-1*x2^2-q^-1*x2+x2^2-2*q^-1*x2^2-q^-1*x1*x2-2*q^-1*x1*x2^2-q^-1*x1^2*x2-q*x1^2*x2^2-2*q^-1*x1^2*x2^2
L7a5{1} 7 {-1,2,2,2,-1,2,-1} [[-1, -1, 1, -1, 1, -1], [-1, -1, -1, 1, -1, 1, -1, -1]] 1 -x1*x2-x1*x2^2-x1^2*x2+q*x1^2*x2^2-x1^2*x2^2+q^-1*x1^2*x2^2
L7a5{1} 7 {-1,2,2,2,-1,2,-1} [[1, -1, 1, -1, 1, -1], [-1, 1, -1, 1, -1, 1, -1, 1]] 1 -x1*x2-x1*x2^2-x1^2*x2+q*x1^2*x2^2-x1^2*x2^2+q^-1*x1^2*x2^2
L7a6{0} 7 {1,1,1,-2,1,-2,1} [[-1, 1, -1, 1, -1, 1], [1, -1, 1, -1, 1, -1, 1, -1]] 1 -q*x1*x2-q*x1*x2^2-q*x1^2*x2+q^2*x1^2*x2^2-q*x1^2*x2^2-x1^2*x2^2
L7a6{0} 7 {1,1,1,-2,1,-2,1} [[1, 1, 1, 1, -1, 1], [1, 1, 1, 1, 1, -1, 1, 1]] 1 -q*x1*x2-q*x1*x2^2-q*x1^2*x2+q^2*x1^2*x2^2-q*x1^2*x2^2-x1^2*x2^2
L7a6{1} 8 {-2,-3,-3,1,1,-2,3,1} [[-1, 1, -1, 1, -1, -1, -1, 1], [-1, 1, -1, 1, -1, -1, -1, -1]] 1 -x1-x1*x2-x1*x2^2+q*x1^2*x2^-1+q*x1^2+2*q*x1^2*x2+q^2*x1^2*x2^2+2*q*x1^2*x2^2
L7a6{1} 8 {-2,-3,-3,1,1,-2,3,1} [[-1, 1, -1, 1, -1, -1, -1, 1], [-1, 1, -1, 1, -1, 1, 1, 1]] 1 q*x1^-1*x2^2-x2+q*x2^2-x1*x2+2*q*x1*x2^2-x1^2*x2+q^2*x1^2*x2^2+2*q*x1^2*x2^2
L7a6{1} 8 {-2,-3,-3,1,1,-2,3,1} [[1, 1, 1, 1, -1, -1, -1, 1], [-1, 1, 1, 1, -1, -1, -1, -1]] 1 -x1-x1*x2-x1*x2^2+q*x1^2*x2^-1+q*x1^2+2*q*x1^2*x2+q^2*x1^2*x2^2+2*q*x1^2*x2^2
L7a6{1} 8 {-2,-3,-3,1,1,-2,3,1} [[1, 1, 1, 1, -1, -1, -1, 1], [-1, 1, 1, 1, -1, 1, 1, 1]] 1 q*x1^-1*x2^2-x2+q*x2^2-x1*x2+2*q*x1*x2^2-x1^2*x2+q^2*x1^2*x2^2+2*q*x1^2*x2^2
L7n1{0} 7 {-1,-2,-1,-2,-1,-2,-2} [[-1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1, -1, -1, -1]] x1^(1/2)*x2^(1/2) -q^-3*x2
L7n1{0} 7 {-1,-2,-1,-2,-1,-2,-2} [[1, -1, -1, -1], [-1, 1, -1, -1, -1, -1, -1, 1, -1, -1]] x1^(1/2)*x2^(1/2) -q^-3*x2
L7n1{1} 7 {1,2,-1,2,1,-2,-2} [[-1, 1, 1, 1], [1, -1, -1, -1, 1, -1, -1, -1, 1, -1]] x1^(1/2)*x2^(1/2) -q^-1*x1^-1*x2
L7n1{1} 7 {1,2,-1,2,1,-2,-2} [[1, 1, 1, 1], [1, 1, -1, -1, 1, -1, -1, 1, 1, -1]] x1^(1/2)*x2^(1/2) -q^-1*x1^-1*x2
L7n1{1} 7 {1,2,-1,2,1,-2,-2} [[1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]] 1 -q^-1*x2^-2+q^-4*x1*x2^-5-q^-10*x1^2*x2^-8
L7n2{0} 7 {-1,2,-1,-2,1,-2,-2} [[-1, -1, 1, 1], [-1, -1, -1, -1, 1, 1, -1, -1, 1, -1]] 1 -q^-1-q^-1*x2-q^-1*x2^2-q*x1-q^2*x1*x2-q*x1*x2+x1*x2-q^3*x1*x2^2-q^2*x1*x2^2-q*x1*x2^2+x1*x2^2+q^-1*x1*x2^2-q^5*x1^2-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*x2^2-q^8*x1^2*x2^2-2*q^7*x1^2*x2^2-q^6*x1^2*x2^2+2*q^4*x1^2*x2^2+2*q^3*x1^2*x2^2
L7n2{0} 7 {-1,2,-1,-2,1,-2,-2} [[1, -1, 1, 1], [-1, 1, -1, -1, 1, 1, -1, 1, 1, -1]] x1^(1/2)*x2^(1/2) -q^-1-q^-1*x2-q^-1*x2^2-q*x1-q^2*x1*x2-q*x1*x2+x1*x2-q^3*x1*x2^2-q^2*x1*x2^2-q*x1*x2^2+x1*x2^2+q^-1*x1*x2^2-q^5*x1^2-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*x2^2-q^8*x1^2*x2^2-2*q^7*x1^2*x2^2-q^6*x1^2*x2^2+2*q^4*x1^2*x2^2+2*q^3*x1^2*x2^2
L7n2{1} 7 {-1,2,-1,-2,1,-2,-2} [[-1, -1, 1, 1], [-1, -1, -1, -1, 1, 1, -1, -1, 1, -1]] 1 -q^-1-q^-1*x2-q^-1*x2^2-q*x1-q^2*x1*x2-q*x1*x2+x1*x2-q^3*x1*x2^2-q^2*x1*x2^2-q*x1*x2^2+x1*x2^2+q^-1*x1*x2^2-q^5*x1^2-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*x2^2-q^8*x1^2*x2^2-2*q^7*x1^2*x2^2-q^6*x1^2*x2^2+2*q^4*x1^2*x2^2+2*q^3*x1^2*x2^2
L7n2{1} 7 {-1,2,-1,-2,1,-2,-2} [[1, -1, 1, 1], [-1, 1, -1, -1, 1, 1, -1, 1, 1, -1]] x1^(1/2)*x2^(1/2) -q^-1-q^-1*x2-q^-1*x2^2-q*x1-q^2*x1*x2-q*x1*x2+x1*x2-q^3*x1*x2^2-q^2*x1*x2^2-q*x1*x2^2+x1*x2^2+q^-1*x1*x2^2-q^5*x1^2-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*x2^2-q^8*x1^2*x2^2-2*q^7*x1^2*x2^2-q^6*x1^2*x2^2+2*q^4*x1^2*x2^2+2*q^3*x1^2*x2^2
L8a1{0} 8 {-1,2,-1,2,-1,-3,2,-3} [[-1, -1, 1, -1], [-1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1]] x1^(1/2)*x2^(1/2) -q^-1*x2-4*q^-1*x2^2-q^-1*x1*x2-4*q^-1*x1*x2^2-q^-1*x1^2*x2-4*q^-1*x1^2*x2^2
L8a1{0} 8 {-1,2,-1,2,-1,-3,2,-3} [[1, -1, 1, -1], [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1]] x1^(1/2)*x2^(1/2) -q^-1*x2-4*q^-1*x2^2-q^-1*x1*x2-4*q^-1*x1*x2^2-q^-1*x1^2*x2-4*q^-1*x1^2*x2^2
L8a1{1} 8 {-1,2,-1,2,-1,-3,2,-3} [[-1, -1, 1, -1], [-1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1]] x1^(1/2)*x2^(1/2) -q^-1*x2-4*q^-1*x2^2-q^-1*x1*x2-4*q^-1*x1*x2^2-q^-1*x1^2*x2-4*q^-1*x1^2*x2^2
L8a1{1} 8 {-1,2,-1,2,-1,-3,2,-3} [[1, -1, 1, -1], [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1]] x1^(1/2)*x2^(1/2) -q^-1*x2-4*q^-1*x2^2-q^-1*x1*x2-4*q^-1*x1*x2^2-q^-1*x1^2*x2-4*q^-1*x1^2*x2^2
L8a2{0} 8 {-1,2,2,-3,2,-1,2,-3} [[-1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1], [1, -1, 1, -1]] 1 -x1-x1*x2-x1*x2^2-3*x1^2+q*x1^2*x2-3*x1^2*x2-q^-1*x1^2*x2+q^2*x1^2*x2^2+q*x1^2*x2^2-3*x1^2*x2^2-q^-1*x1^2*x2^2-q^-2*x1^2*x2^2
L8a2{0} 8 {-1,2,2,-3,2,-1,2,-3} [[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1], [1, -1, 1, -1]] 1 -x1-x1*x2-x1*x2^2-3*x1^2+q*x1^2*x2-3*x1^2*x2-q^-1*x1^2*x2+q^2*x1^2*x2^2+q*x1^2*x2^2-3*x1^2*x2^2-q^-1*x1^2*x2^2-q^-2*x1^2*x2^2
L8a2{1} 8 {-1,2,2,-3,2,-1,2,-3} [[-1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1], [1, -1, 1, -1]] 1 -x1-x1*x2-x1*x2^2-3*x1^2+q*x1^2*x2-3*x1^2*x2-q^-1*x1^2*x2+q^2*x1^2*x2^2+q*x1^2*x2^2-3*x1^2*x2^2-q^-1*x1^2*x2^2-q^-2*x1^2*x2^2
L8a2{1} 8 {-1,2,2,-3,2,-1,2,-3} [[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1], [1, -1, 1, -1]] 1 -x1-x1*x2-x1*x2^2-3*x1^2+q*x1^2*x2-3*x1^2*x2-q^-1*x1^2*x2+q^2*x1^2*x2^2+q*x1^2*x2^2-3*x1^2*x2^2-q^-1*x1^2*x2^2-q^-2*x1^2*x2^2
L8a3{0} 11 {2,-3,2,-3,-4,1,-2,3,-4,-2,-1} [[-1, 1, -1, -1, -1, -1, -1, -1], [-1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1]] 1 2*x1^-2*x2^2-q^-1*x1^-1*x2-4*q^-1*x1^-1*x2^2
L8a3{0} 11 {2,-3,2,-3,-4,1,-2,3,-4,-2,-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) 2*x1^-2*x2^2-q^-1*x1^-1*x2-4*q^-1*x1^-1*x2^2
L8a3{1} 10 {-1,2,3,2,2,-1,2,2,-3,2} [[-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*x1-4*q*x1^2+2*q^2*x1^2*x2
L8a3{1} 10 {-1,2,3,2,2,-1,2,2,-3,2} [[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*x1-4*q*x1^2+2*q^2*x1^2*x2
L8a4{0} 8 {-1,-1,2,2,-1,-3,2,-3} [[-1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1], [1, -1, 1, -1]] x1^(1/2)*x2^(1/2) -q^-1*x1-q^-1*x1*x2-q^-1*x1*x2^2-3*q^-1*x1^2+x1^2*x2-3*q^-1*x1^2*x2-q^-2*x1^2*x2+q*x1^2*x2^2+x1^2*x2^2-3*q^-1*x1^2*x2^2-q^-2*x1^2*x2^2-q^-3*x1^2*x2^2
L8a4{0} 8 {-1,-1,2,2,-1,-3,2,-3} [[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1], [1, -1, 1, -1]] x1^(1/2)*x2^(1/2) -q^-1*x1-q^-1*x1*x2-q^-1*x1*x2^2-3*q^-1*x1^2+x1^2*x2-3*q^-1*x1^2*x2-q^-2*x1^2*x2+q*x1^2*x2^2+x1^2*x2^2-3*q^-1*x1^2*x2^2-q^-2*x1^2*x2^2-q^-3*x1^2*x2^2
L8a4{1} 8 {-1,-1,2,2,-1,-3,2,-3} [[-1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1], [1, -1, 1, -1]] x1^(1/2)*x2^(1/2) -q^-1*x1-q^-1*x1*x2-q^-1*x1*x2^2-3*q^-1*x1^2+x1^2*x2-3*q^-1*x1^2*x2-q^-2*x1^2*x2+q*x1^2*x2^2+x1^2*x2^2-3*q^-1*x1^2*x2^2-q^-2*x1^2*x2^2-q^-3*x1^2*x2^2
L8a4{1} 8 {-1,-1,2,2,-1,-3,2,-3} [[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1], [1, -1, 1, -1]] x1^(1/2)*x2^(1/2) -q^-1*x1-q^-1*x1*x2-q^-1*x1*x2^2-3*q^-1*x1^2+x1^2*x2-3*q^-1*x1^2*x2-q^-2*x1^2*x2+q*x1^2*x2^2+x1^2*x2^2-3*q^-1*x1^2*x2^2-q^-2*x1^2*x2^2-q^-3*x1^2*x2^2
L8a5{0} 10 {1,1,-2,-3,-2,1,-2,3,-2,1} [[-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) -x1-2*x1*x2-q*x1*x2^2-3*x1*x2^2-2*x1^2-4*x1^2*x2-2*q^-1*x1^2*x2-2*q*x1^2*x2^2-8*x1^2*x2^2-4*q^-1*x1^2*x2^2-2*q^-2*x1^2*x2^2
L8a5{0} 10 {1,1,-2,-3,-2,1,-2,3,-2,1} [[1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1], [-1, 1, -1, 1]] 1 -x1-2*x1*x2-q*x1*x2^2-3*x1*x2^2-2*x1^2-4*x1^2*x2-2*q^-1*x1^2*x2-2*q*x1^2*x2^2-8*x1^2*x2^2-4*q^-1*x1^2*x2^2-2*q^-2*x1^2*x2^2
L8a7{0} 12 {-1,2,-1,-2,-3,-3,-2,-2,-1,2,3,-2} [[-1, -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) 4*q^-1*x1^-2*x2^2-q^-2*x1^-1*x2-4*q^-2*x1^-1*x2^2
L8a7{0} 12 {-1,2,-1,-2,-3,-3,-2,-2,-1,2,3,-2} [[1, -1, -1, -1, -1, -1], [-1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1]] 1 4*q^-1*x1^-2*x2^2-q^-2*x1^-1*x2-4*q^-2*x1^-1*x2^2
L8a7{1} 8 {-1,2,-3,2,-1,2,-3,2} [[-1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1], [1, -1, 1, -1]] x1^(1/2)*x2^(1/2) -x1-4*x1^2+4*q*x1^2*x2
L8a7{1} 8 {-1,2,-3,2,-1,2,-3,2} [[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1], [1, -1, 1, -1]] x1^(1/2)*x2^(1/2) -x1-4*x1^2+4*q*x1^2*x2
L8a8{0} 8 {-1,2,-3,2,-3,2,-1,2} [[-1, -1, 1, -1, 1, -1], [-1, -1, -1, 1, -1, 1, -1, 1, -1, 1]] 1 -x1*x2-2*x1*x2^2-2*x1^2*x2+q*x1^2*x2^2-4*x1^2*x2^2-2*q^-1*x1^2*x2^2
L8a8{0} 8 {-1,2,-3,2,-3,2,-1,2} [[1, -1, 1, -1, 1, -1], [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1]] 1 -x1*x2-2*x1*x2^2-2*x1^2*x2+q*x1^2*x2^2-4*x1^2*x2^2-2*q^-1*x1^2*x2^2
L8a8{1} 8 {1,-2,1,3,3,-2,1,3} [[-1, 1, -1, 1, -1, 1], [1, -1, 1, -1, 1, -1, 1, -1, 1, -1]] 1 -q*x1*x2-2*q*x1*x2^2-2*q*x1^2*x2+2*q^2*x1^2*x2^2-4*q*x1^2*x2^2-3*x1^2*x2^2
L8a8{1} 8 {1,-2,1,3,3,-2,1,3} [[1, 1, -1, 1, -1, 1], [1, 1, 1, -1, 1, -1, 1, -1, 1, 1]] 1 -q*x1*x2-2*q*x1*x2^2-2*q*x1^2*x2+2*q^2*x1^2*x2^2-4*q*x1^2*x2^2-3*x1^2*x2^2
L8a9{0} 10 {1,-2,-2,3,-2,1,-2,1,-3,-2} [[-1, 1, -1, 1, -1, 1], [1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1]] 1 -q^-1*x1*x2-2*q^-1*x1*x2^2-2*q^-1*x1^2*x2+x1^2*x2^2-4*q^-1*x1^2*x2^2
L8a9{0} 10 {1,-2,-2,3,-2,1,-2,1,-3,-2} [[1, 1, -1, 1, -1, 1], [1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1]] 1 -q^-1*x1*x2-2*q^-1*x1*x2^2-2*q^-1*x1^2*x2+x1^2*x2^2-4*q^-1*x1^2*x2^2
L8a9{1} 10 {-1,2,2,-3,2,-1,2,-1,3,2} [[-1, -1, 1, -1, 1, -1], [-1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1]] 1 -x1*x2-2*x1*x2^2-2*x1^2*x2-4*x1^2*x2^2+q^-1*x1^2*x2^2
L8a9{1} 10 {-1,2,2,-3,2,-1,2,-1,3,2} [[1, -1, 1, -1, 1, -1], [-1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1]] 1 -x1*x2-2*x1*x2^2-2*x1^2*x2-4*x1^2*x2^2+q^-1*x1^2*x2^2
L8a10{1} 10 {-1,2,3,2,2,2,-1,2,-3,2} [[-1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1], [1, -1, 1, -1, 1, -1]] 1 -q*x1*x2-2*q*x1*x2^2-2*q*x1^2*x2-4*q*x1^2*x2^2-x1^2*x2^2
L8a10{1} 10 {-1,2,3,2,2,2,-1,2,-3,2} [[1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1], [1, -1, 1, -1, 1, -1]] 1 -q*x1*x2-2*q*x1*x2^2-2*q*x1^2*x2-4*q*x1^2*x2^2-x1^2*x2^2
L8a11{1} 13 {-2,3,4,-2,3,1,2,-3,-4,2,3,4,-1} [[-1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1], [1, 1, 1, 1, 1, 1]] 1 -x1-2*x1*x2-3*x1*x2^2-q^-1*x1*x2^2+q^-1*x1^2*x2^-1-x1^2+2*q^-1*x1^2-q*x1^2*x2-2*x1^2*x2+3*q^-1*x1^2*x2+q^-2*x1^2*x2-q^2*x1^2*x2^2-2*q*x1^2*x2^2-4*x1^2*x2^2+3*q^-1*x1^2*x2^2+2*q^-2*x1^2*x2^2+2*q^-3*x1^2*x2^2
L8a11{1} 13 {-2,3,4,-2,3,1,2,-3,-4,2,3,4,-1} [[-1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1], [1, 1, -1, -1, 1, 1]] 1 q^-1*x1^-1*x2^2-x2-x2^2+2*q^-1*x2^2-2*x1*x2-q*x1*x2^2-2*x1*x2^2+3*q^-1*x1*x2^2+q^-2*x1*x2^2-3*x1^2*x2-q^-1*x1^2*x2-q^2*x1^2*x2^2-2*q*x1^2*x2^2-4*x1^2*x2^2+3*q^-1*x1^2*x2^2+2*q^-2*x1^2*x2^2+2*q^-3*x1^2*x2^2
L8a11{1} 13 {-2,3,4,-2,3,1,2,-3,-4,2,3,4,-1} [[1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1], [1, 1, 1, 1, 1, 1]] 1 -x1-2*x1*x2-3*x1*x2^2-q^-1*x1*x2^2+q^-1*x1^2*x2^-1-x1^2+2*q^-1*x1^2-q*x1^2*x2-2*x1^2*x2+3*q^-1*x1^2*x2+q^-2*x1^2*x2-5*q^2*x1^2*x2^2-8*q*x1^2*x2^2-12*x1^2*x2^2-5*q^-1*x1^2*x2^2-2*q^-2*x1^2*x2^2
L8a11{1} 13 {-2,3,4,-2,3,1,2,-3,-4,2,3,4,-1} [[1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1], [1, 1, -1, -1, 1, 1]] 1 q^-1*x1^-1*x2^2-x2-x2^2+2*q^-1*x2^2-2*x1*x2-q*x1*x2^2-2*x1*x2^2+3*q^-1*x1*x2^2+q^-2*x1*x2^2-3*x1^2*x2-q^-1*x1^2*x2-q^2*x1^2*x2^2-2*q*x1^2*x2^2-4*x1^2*x2^2+3*q^-1*x1^2*x2^2+2*q^-2*x1^2*x2^2+2*q^-3*x1^2*x2^2
L8a12{0} 9 {-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, -1, -1]] 1 q^-2*x1^-1*x2^2-q^-3*x2-q^-3*x2^2+q^-4*x1*x2^2
L8a12{0} 9 {-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, -1, -1]] 1 -q^-3*x1+q^-2*x1^2*x2^-1-q^-3*x1^2+q^-4*x1^2*x2
L8a12{0} 9 {-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, -1, 1]] 1 q^-2*x1^-1*x2^2-q^-3*x2-q^-3*x2^2+q^-4*x1*x2^2
L8a12{0} 9 {-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, -1, 1]] 1 -q^-3*x1+q^-2*x1^2*x2^-1-q^-3*x1^2+q^-4*x1^2*x2
L8a13{0} 10 {-2,3,-2,-3,-3,-2,-2,-1,2,-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) 2*q^-1*x1^-2*x2^2-q^-2*x1^-1*x2-2*q^-2*x1^-1*x2^2+q^-3*x2^2
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