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)
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]] 1 -q^-2*x1*x2^-1+2*q^-1*x1^2*x2^-2-2*q^-2*x1^2*x2^-1+q^-3*x1^2
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]] 1 2*q^-1*x1^-2*x2^2-q^-2*x1^-1*x2-2*q^-2*x1^-1*x2^2+q^-3*x2^2
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]] 1 -q^-2*x1*x2^-1+2*q^-1*x1^2*x2^-2-2*q^-2*x1^2*x2^-1+q^-3*x1^2
L8a13{1} 9 {1,1,2,2,2,2,1,-2,1} [[-1, 1, -1, 1, -1, -1, 1, -1, -1, 1], [1, -1, 1, 1, -1, 1, 1, -1]] 1 -q^2*x1+q*x1^2*x2^-1-2*q^2*x1^2+2*q^3*x1^2*x2
L8a13{1} 9 {1,1,2,2,2,2,1,-2,1} [[-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^2*x2-2*q^2*x2^2+2*q^3*x1*x2^2
L8a13{1} 9 {1,1,2,2,2,2,1,-2,1} [[1, 1, 1, 1, -1, -1, 1, -1, -1, 1], [1, 1, 1, 1, -1, 1, 1, 1]] 1 -q^2*x1+q*x1^2*x2^-1-2*q^2*x1^2+2*q^3*x1^2*x2
L8a13{1} 9 {1,1,2,2,2,2,1,-2,1} [[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^2*x2-2*q^2*x2^2+2*q^3*x1*x2^2
L8a14{0} 8 {-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^-4*x1*x2+q^-5*x1^2*x2^2
L8a14{0} 8 {-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^-4*x1*x2+q^-5*x1^2*x2^2
L8n1{0} 10 {1,2,-3,2,-1,-2,-3,-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^-2*x1-2*q^-2*x1^2
L8n1{0} 10 {1,2,-3,2,-1,-2,-3,-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^-2*x1-2*q^-2*x1^2
L8n1{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) -x1^-1*x2-2*x1^-1*x2^2
L8n1{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) -x1^-1*x2-2*x1^-1*x2^2
L8n2{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) -1-x2-x2^2-q^2*x1+q^3*x1*x2-q^2*x1*x2-q*x1*x2+q^4*x1*x2^2+q^3*x1*x2^2-q^2*x1*x2^2-q*x1*x2^2-x1*x2^2-q^6*x1^2+q^8*x1^2*x2+q^7*x1^2*x2-q^6*x1^2*x2-q^5*x1^2*x2-q^4*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
L8n2{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) -1-x2-x2^2-q^2*x1+q^3*x1*x2-q^2*x1*x2-q*x1*x2+q^4*x1*x2^2+q^3*x1*x2^2-q^2*x1*x2^2-q*x1*x2^2-x1*x2^2-q^6*x1^2+q^8*x1^2*x2+q^7*x1^2*x2-q^6*x1^2*x2-q^5*x1^2*x2-q^4*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
L8n2{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) -1-x2-x2^2-q^2*x1+q^3*x1*x2-q^2*x1*x2-q*x1*x2+q^4*x1*x2^2+q^3*x1*x2^2-q^2*x1*x2^2-q*x1*x2^2-x1*x2^2-q^6*x1^2+q^8*x1^2*x2+q^7*x1^2*x2-q^6*x1^2*x2-q^5*x1^2*x2-q^4*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
L8n2{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) -1-x2-x2^2-q^2*x1+q^3*x1*x2-q^2*x1*x2-q*x1*x2+q^4*x1*x2^2+q^3*x1*x2^2-q^2*x1*x2^2-q*x1*x2^2-x1*x2^2-q^6*x1^2+q^8*x1^2*x2+q^7*x1^2*x2-q^6*x1^2*x2-q^5*x1^2*x2-q^4*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
L9a2{0} 9 {-1,2,-1,2,-1,2,2,2,2} [[-1, -1, 1, -1], [-1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1]] 1 -q*x2^2-q*x1*x2^2-q*x1^2*x2^2
L9a2{0} 9 {-1,2,-1,2,-1,2,2,2,2} [[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*x2^2-q*x1*x2^2-q*x1^2*x2^2
L9a2{1} 9 {-1,2,-1,2,-1,2,2,2,2} [[-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*x2^2-q*x1*x2^2-q*x1^2*x2^2
L9a2{1} 9 {-1,2,-1,2,-1,2,2,2,2} [[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*x2^2-q*x1*x2^2-q*x1^2*x2^2
L9a6{0} 12 {2,-3,-1,-2,-2,-2,-3,-3,-2,-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, -1, -1]] x1^(1/2)*x2^(1/2) -q^-3*x1^2*x2^-1
L9a6{0} 12 {2,-3,-1,-2,-2,-2,-3,-3,-2,-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, -1, 1]] x1^(1/2)*x2^(1/2) -q^-3*x1^2*x2^-1
L9a6{1} 9 {-1,-1,2,2,-1,-1,2,2,-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^-1*x1^2
L9a6{1} 9 {-1,-1,2,2,-1,-1,2,2,-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^-1*x1^2
L9a9{0} 9 {-1,2,-1,-1,-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^-1*x2^2-q^-1*x1*x2^2-q^-1*x1^2*x2^2
L9a9{0} 9 {-1,2,-1,-1,-1,2,-1,2,2} [[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^-1*x2^2-q^-1*x1*x2^2-q^-1*x1^2*x2^2
L9a9{1} 9 {-1,2,-1,-1,-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^-1*x2^2-q^-1*x1*x2^2-q^-1*x1^2*x2^2
L9a9{1} 9 {-1,2,-1,-1,-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^-1*x2^2-q^-1*x1*x2^2-q^-1*x1^2*x2^2
L9a11{0} 11 {-1,2,-3,4,-3,2,-1,2,-3,-4,-3} [[-1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1], [-1, 1, -1, 1]] x1^(1/2)*x2^(1/2) -q^-1*x1-2*q^-1*x1*x2-x1*x2^2-3*q^-1*x1*x2^2-4*q^-1*x1^2-8*q^-1*x1^2*x2-2*q^-2*x1^2*x2-4*x1^2*x2^2-14*q^-1*x1^2*x2^2-4*q^-2*x1^2*x2^2-2*q^-3*x1^2*x2^2
L9a11{0} 11 {-1,2,-3,4,-3,2,-1,2,-3,-4,-3} [[1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1], [-1, 1, -1, 1]] x1^(1/2)*x2^(1/2) -q^-1*x1-2*q^-1*x1*x2-x1*x2^2-3*q^-1*x1*x2^2-4*q^-1*x1^2-8*q^-1*x1^2*x2-2*q^-2*x1^2*x2-4*x1^2*x2^2-14*q^-1*x1^2*x2^2-4*q^-2*x1^2*x2^2-2*q^-3*x1^2*x2^2
L9a12{0} 10 {-2,-2,-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, -1, -1, -1]] 1 -q^-3*x1^-1*x2^2
L9a12{0} 10 {-2,-2,-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, -1, -1, 1]] 1 -q^-3*x1^-1*x2^2
L9a12{1} 9 {-1,-1,-1,-1,2,2,-1,2,2} [[-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^-1*x1^2
L9a12{1} 9 {-1,-1,-1,-1,2,2,-1,2,2} [[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^-1*x1^2
L9a14{0} 9 {1,-2,1,1,1,1,1,-2,1} [[-1, 1, -1, 1], [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1]] 1 -q^2*x2^2-q^2*x1*x2^2-q^2*x1^2*x2^2
L9a14{0} 9 {1,-2,1,1,1,1,1,-2,1} [[1, 1, -1, 1], [1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1]] 1 -q^2*x2^2-q^2*x1*x2^2-q^2*x1^2*x2^2
L9a14{1} 9 {1,-2,1,1,1,1,1,-2,1} [[-1, 1, -1, 1], [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1]] 1 -q^2*x2^2-q^2*x1*x2^2-q^2*x1^2*x2^2
L9a14{1} 9 {1,-2,1,1,1,1,1,-2,1} [[1, 1, -1, 1], [1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1]] 1 -q^2*x2^2-q^2*x1*x2^2-q^2*x1^2*x2^2
L9a20{0} 9 {1,-2,1,-2,-2,1,-2,1,-2} [[-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*x1^2*x2^2
L9a20{0} 9 {1,-2,1,-2,-2,1,-2,1,-2} [[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*x1^2*x2^2
L9a20{1} 12 {1,-2,-3,2,1,-2,1,2,-3,2,-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 -x1*x2-3*x1*x2^2+q^-1*x1^2-2*x1^2*x2+3*q^-1*x1^2*x2+q^-2*x1^2*x2-2*q*x1^2*x2^2-6*x1^2*x2^2+8*q^-1*x1^2*x2^2+3*q^-2*x1^2*x2^2+q^-3*x1^2*x2^2
L9a20{1} 12 {1,-2,-3,2,1,-2,1,2,-3,2,-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 -x2^2-x1*x2^2-x1^2*x2^2
L9a20{1} 12 {1,-2,-3,2,1,-2,1,2,-3,2,-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 -x1*x2-3*x1*x2^2+q^-1*x1^2-2*x1^2*x2+3*q^-1*x1^2*x2+q^-2*x1^2*x2-2*q*x1^2*x2^2-6*x1^2*x2^2+8*q^-1*x1^2*x2^2+3*q^-2*x1^2*x2^2+q^-3*x1^2*x2^2
L9a20{1} 12 {1,-2,-3,2,1,-2,1,2,-3,2,-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 -x2^2-x1*x2^2-x1^2*x2^2
L9a21{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^-1*x1*x2^2-q^-1*x1^2*x2^2
L9a21{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^-1*x1*x2^2-q^-1*x1^2*x2^2
L9a21{1} 12 {-2,3,-2,3,-2,-3,1,-2,3,3,3,1} [[-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-x1^2*x2-x1^2*x2^2
L9a21{1} 12 {-2,3,-2,3,-2,-3,1,-2,3,3,3,1} [[-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*x2^2-x1*x2-x1*x2^2+2*q^-1*x1*x2^2-2*x1^2*x2-3*x1^2*x2^2+4*q^-1*x1^2*x2^2
L9a21{1} 12 {-2,3,-2,3,-2,-3,1,-2,3,3,3,1} [[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-x1^2*x2-x1^2*x2^2
L9a21{1} 12 {-2,3,-2,3,-2,-3,1,-2,3,3,3,1} [[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*x2^2-x1*x2-x1*x2^2+2*q^-1*x1*x2^2-2*x1^2*x2-3*x1^2*x2^2+4*q^-1*x1^2*x2^2
L9a22{0} 9 {1,-2,-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 -q^-2*x1*x2^2-q^-2*x1^2*x2^2
L9a22{0} 9 {1,-2,-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 -q^-2*x1*x2^2-q^-2*x1^2*x2^2
L9a22{1} 10 {2,-3,2,-3,2,1,-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 -q^-1*x1^2-q^-1*x1^2*x2-q^-1*x1^2*x2^2
L9a22{1} 10 {2,-3,2,-3,2,1,-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 q^-2*x2^2-q^-1*x1*x2-q^-1*x1*x2^2+2*q^-2*x1*x2^2-2*q^-1*x1^2*x2-x1^2*x2^2-2*q^-1*x1^2*x2^2+3*q^-2*x1^2*x2^2-q^-3*x1^2*x2^2
L9a22{1} 10 {2,-3,2,-3,2,1,-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 -q^-1*x1^2-q^-1*x1^2*x2-q^-1*x1^2*x2^2
L9a22{1} 10 {2,-3,2,-3,2,1,-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 q^-2*x2^2-q^-1*x1*x2-q^-1*x1*x2^2+2*q^-2*x1*x2^2-2*q^-1*x1^2*x2-x1^2*x2^2-2*q^-1*x1^2*x2^2+3*q^-2*x1^2*x2^2-q^-3*x1^2*x2^2
L9a23{0} 12 {2,2,-3,-3,2,1,-2,3,-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, 1, 1, -1]] 1 -q^-1*x2^2
L9a23{0} 12 {2,2,-3,-3,2,1,-2,3,-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, 1, 1, -1]] 1 -q^-1*x1*x2-2*q^-1*x1*x2^2+x1^2+2*x1^2*x2-q^-1*x1^2*x2-q*x1^2*x2^2+3*x1^2*x2^2-2*q^-1*x1^2*x2^2+q^-2*x1^2*x2^2
L9a23{0} 12 {2,2,-3,-3,2,1,-2,3,-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, 1, 1, 1]] 1 -q^-1*x2^2
L9a23{0} 12 {2,2,-3,-3,2,1,-2,3,-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, 1, 1, 1]] 1 -q^-1*x1*x2-2*q^-1*x1*x2^2+x1^2+2*x1^2*x2-q^-1*x1^2*x2-q*x1^2*x2^2+3*x1^2*x2^2-2*q^-1*x1^2*x2^2+q^-2*x1^2*x2^2
L9a23{1} 10 {1,2,2,3,3,1,-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 -q^2*x2^2
L9a23{1} 10 {1,2,2,3,3,1,-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 -q^2*x2^2
L9a24{0} 10 {2,-1,-2,-2,3,-2,-2,-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*x1^2-q^-2*x1^2*x2-q^-2*x1^2*x2^2
L9a24{0} 10 {2,-1,-2,-2,3,-2,-2,-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^-1*x2^2-q^-2*x1*x2+q^-1*x1*x2^2-2*q^-2*x1*x2^2-q^-2*x1^2*x2-3*q^-2*x1^2*x2^2+q^-3*x1^2*x2^2
L9a24{0} 10 {2,-1,-2,-2,3,-2,-2,-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*x1^2-q^-2*x1^2*x2-q^-2*x1^2*x2^2
L9a24{0} 10 {2,-1,-2,-2,3,-2,-2,-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^-1*x2^2-q^-2*x1*x2+q^-1*x1*x2^2-2*q^-2*x1*x2^2-q^-2*x1^2*x2-3*q^-2*x1^2*x2^2+q^-3*x1^2*x2^2
L9a24{1} 9 {-1,2,2,2,-1,-1,-1,2,-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*x1^2*x2^2
L9a24{1} 9 {-1,2,2,2,-1,-1,-1,2,-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*x1^2*x2^2
L9a27{0} 13 {-1,2,3,2,-1,4,-3,2,-3,2,-4,-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, -1]] 1 -x1*x2-3*x1*x2^2-3*x1^2*x2-9*x1^2*x2^2-2*q^-1*x1^2*x2^2
L9a27{0} 13 {-1,2,3,2,-1,4,-3,2,-3,2,-4,-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, -1]] 1 -x1*x2-3*x1*x2^2-3*x1^2*x2-9*x1^2*x2^2-2*q^-1*x1^2*x2^2
L9a28{0} 9 {1,-2,-2,1,-2,-2,-2,-2,1} [[-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], [-1, 1, -1, 1, -1, 1]] 1 -q^-2*x1^2*x2
L9a28{0} 9 {1,-2,-2,1,-2,-2,-2,-2,1} [[1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1], [-1, 1, -1, 1, -1, 1]] 1 -q^-2*x1^2*x2
L9a29{0} 9 {-1,-1,-1,2,-1,-1,-1,2,-1} [[-1, -1, -1, -1, 1, -1], [-1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1]] 1 -q^-3*x1*x2^2-q^-3*x1^2*x2^2
L9a29{0} 9 {-1,-1,-1,2,-1,-1,-1,2,-1} [[1, -1, 1, -1, 1, -1], [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1]] 1 -q^-3*x1*x2^2-q^-3*x1^2*x2^2
L9a29{1} 12 {-2,3,-2,-2,-2,3,-2,-3,1,-2,3,1} [[-1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1], [1, -1, 1, 1, 1, -1]] 1 -q^-2*x1^2-q^-2*x1^2*x2-q^-2*x1^2*x2^2
L9a29{1} 12 {-2,3,-2,-2,-2,3,-2,-3,1,-2,3,1} [[-1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1], [1, -1, 1, -1, 1, -1]] 1 q^-3*x2^2-q^-2*x1*x2+q^-3*x1*x2^2-q^-2*x1^2*x2+q^-3*x1^2*x2^2-q^-4*x1^2*x2^2
L9a29{1} 12 {-2,3,-2,-2,-2,3,-2,-3,1,-2,3,1} [[1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1], [1, -1, 1, 1, 1, 1]] 1 -q^-2*x1^2-q^-2*x1^2*x2-q^-2*x1^2*x2^2
L9a29{1} 12 {-2,3,-2,-2,-2,3,-2,-3,1,-2,3,1} [[1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1], [1, -1, 1, -1, 1, 1]] 1 q^-3*x2^2-q^-2*x1*x2+q^-3*x1*x2^2-q^-2*x1^2*x2+q^-3*x1^2*x2^2-q^-4*x1^2*x2^2
L9a31{0} 9 {-1,2,-1,2,2,-1,-1,2,-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*x1^2*x2^2
L9a31{0} 9 {-1,2,-1,2,2,-1,-1,2,-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*x1^2*x2^2
L9a31{1} 10 {-2,3,-2,-2,-1,-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 -q^-2*x1*x2-2*q^-2*x1*x2^2+q^-1*x1^2+x1^2*x2+2*q^-1*x1^2*x2-3*q^-2*x1^2*x2+q*x1^2*x2^2+2*x1^2*x2^2-7*q^-2*x1^2*x2^2+q^-3*x1^2*x2^2
L9a31{1} 10 {-2,3,-2,-2,-1,-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 -q^-2*x2^2-q^-2*x1*x2^2-q^-2*x1^2*x2^2
L9a31{1} 10 {-2,3,-2,-2,-1,-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 -q^-2*x1*x2-2*q^-2*x1*x2^2+q^-1*x1^2+x1^2*x2+2*q^-1*x1^2*x2-3*q^-2*x1^2*x2+q*x1^2*x2^2+2*x1^2*x2^2-7*q^-2*x1^2*x2^2+q^-3*x1^2*x2^2
L9a32{1} 9 {-1,2,2,-1,2,2,-1,2,2} [[-1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1], [1, -1, 1, -1, 1, -1]] 1 -q*x1^2*x2
L9a32{1} 9 {-1,2,2,-1,2,2,-1,2,2} [[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1], [1, -1, 1, -1, 1, -1]] 1 -q*x1^2*x2
L9a34{0} 10 {2,-1,-2,-2,-2,-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-q^-2*x1*x2-q^-2*x1*x2^2+q^-1*x1^2*x2^-1+q^-1*x1^2-2*q^-2*x1^2-2*q^-2*x1^2*x2+q^-3*x1^2*x2-x1^2*x2^2-2*q^-2*x1^2*x2^2+q^-3*x1^2*x2^2
L9a34{0} 10 {2,-1,-2,-2,-2,-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^-1*x1^-1*x2^2-q^-2*x2+q^-1*x2^2-2*q^-2*x2^2-q^-2*x1*x2-2*q^-2*x1*x2^2+q^-3*x1*x2^2-q^-2*x1^2*x2-x1^2*x2^2-2*q^-2*x1^2*x2^2+q^-3*x1^2*x2^2
L9a34{0} 10 {2,-1,-2,-2,-2,-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^-2*x1-q^-2*x1*x2-q^-2*x1*x2^2+q^-1*x1^2*x2^-1+q^-1*x1^2-2*q^-2*x1^2-2*q^-2*x1^2*x2+q^-3*x1^2*x2-x1^2*x2^2-2*q^-2*x1^2*x2^2+q^-3*x1^2*x2^2
L9a34{0} 10 {2,-1,-2,-2,-2,-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^-1*x1^-1*x2^2-q^-2*x2+q^-1*x2^2-2*q^-2*x2^2-q^-2*x1*x2-2*q^-2*x1*x2^2+q^-3*x1*x2^2-q^-2*x1^2*x2-x1^2*x2^2-2*q^-2*x1^2*x2^2+q^-3*x1^2*x2^2
L9a34{1} 10 {-1,2,2,2,3,3,-1,2,-3,-1} [[-1, -1, 1, -1, 1, 1, 1, -1], [-1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1]] 1 q^-1*x1^-1*x2^2-x2-x2^2+q^-1*x2^2-x1*x2+q*x1*x2^2-x1*x2^2+2*q^-1*x1*x2^2-x1^2*x2+q*x1^2*x2^2-x1^2*x2^2+2*q^-1*x1^2*x2^2+q^-2*x1^2*x2^2
L9a34{1} 10 {-1,2,2,2,3,3,-1,2,-3,-1} [[-1, -1, 1, -1, 1, 1, 1, -1], [-1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1]] 1 -x1-x1*x2-x1*x2^2+q^-1*x1^2*x2^-1-x1^2+q^-1*x1^2+q*x1^2*x2-x1^2*x2+2*q^-1*x1^2*x2+q*x1^2*x2^2-x1^2*x2^2+2*q^-1*x1^2*x2^2+q^-2*x1^2*x2^2
L9a34{1} 10 {-1,2,2,2,3,3,-1,2,-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^-1*x1^-1*x2^2-x2-x2^2+q^-1*x2^2-x1*x2+q*x1*x2^2-x1*x2^2+2*q^-1*x1*x2^2-x1^2*x2+q*x1^2*x2^2-x1^2*x2^2+2*q^-1*x1^2*x2^2+q^-2*x1^2*x2^2
L9a34{1} 10 {-1,2,2,2,3,3,-1,2,-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-x1*x2-x1*x2^2+q^-1*x1^2*x2^-1-x1^2+q^-1*x1^2+q*x1^2*x2-x1^2*x2+2*q^-1*x1^2*x2+q*x1^2*x2^2-x1^2*x2^2+2*q^-1*x1^2*x2^2+q^-2*x1^2*x2^2
L9a35{0} 10 {2,-1,-2,-2,3,-2,3,3,3,-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-x1*x2-x1*x2^2+q*x1^2*x2^-1+q*x1^2-2*x1^2+2*q*x1^2*x2-2*x1^2*x2+2*q*x1^2*x2^2-2*x1^2*x2^2
L9a35{0} 10 {2,-1,-2,-2,3,-2,3,3,3,-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-x2+q*x2^2-2*x2^2-x1*x2+2*q*x1*x2^2-2*x1*x2^2-x1^2*x2+2*q*x1^2*x2^2-2*x1^2*x2^2
L9a35{0} 10 {2,-1,-2,-2,3,-2,3,3,3,-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-x1*x2-x1*x2^2+q*x1^2*x2^-1+q*x1^2-2*x1^2+2*q*x1^2*x2-2*x1^2*x2+2*q*x1^2*x2^2-2*x1^2*x2^2
L9a35{0} 10 {2,-1,-2,-2,3,-2,3,3,3,-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-x2+q*x2^2-2*x2^2-x1*x2+2*q*x1*x2^2-2*x1*x2^2-x1^2*x2+2*q*x1^2*x2^2-2*x1^2*x2^2
L9a35{1} 10 {2,-1,-2,-2,3,-2,3,3,3,-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-x1*x2-x1*x2^2+q*x1^2*x2^-1+q*x1^2-2*x1^2+2*q*x1^2*x2-2*x1^2*x2+2*q*x1^2*x2^2-2*x1^2*x2^2
L9a35{1} 10 {2,-1,-2,-2,3,-2,3,3,3,-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-x2+q*x2^2-2*x2^2-x1*x2+2*q*x1*x2^2-2*x1*x2^2-x1^2*x2+2*q*x1^2*x2^2-2*x1^2*x2^2
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