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 braid_length braid sign_diagram overall_x_powers fk_polynomial
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^-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^-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^-2*x1^2-q^-2*x1^2*x2-q^-2*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*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
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^-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]] 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^-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{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
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]] 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
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) 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) -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]] 1 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) 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) -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
L9a36{0} 9 {1,1,1,1,1,-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^2*x1*x2-q^2*x1*x2^2-q^2*x1^2*x2+q^3*x1^2*x2^2-q^2*x1^2*x2^2-q*x1^2*x2^2
L9a36{0} 9 {1,1,1,1,1,-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^2*x1*x2-q^2*x1*x2^2-q^2*x1^2*x2+q^3*x1^2*x2^2-q^2*x1^2*x2^2-q*x1^2*x2^2
L9a36{1} 11 {-2,-3,-4,-4,-3,1,1,-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 q*x1^-2*x2^2-x1^-1*x2+q*x1^-1*x2^2-x2+2*q*x2^2-x1*x2+q^2*x1*x2^2+2*q*x1*x2^2-x1^2*x2+q^3*x1^2*x2^2+q^2*x1^2*x2^2+2*q*x1^2*x2^2
L9a36{1} 11 {-2,-3,-4,-4,-3,1,1,-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]] x1^(1/2)*x2^(1/2) q*x1^-2*x2^2-x1^-1*x2+q*x1^-1*x2^2-x2+2*q*x2^2-x1*x2+q^2*x1*x2^2+2*q*x1*x2^2-x1^2*x2+q^3*x1^2*x2^2+q^2*x1^2*x2^2+2*q*x1^2*x2^2
L9a36{1} 11 {-2,-3,-4,-4,-3,1,1,-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]] x1^(1/2)*x2^(1/2) -x1*x2^-1-x1-x1*x2-x1*x2^2+q*x1^2*x2^-2+q*x1^2*x2^-1+2*q*x1^2+q^2*x1^2*x2+2*q*x1^2*x2+q^3*x1^2*x2^2+q^2*x1^2*x2^2+2*q*x1^2*x2^2
L9a36{1} 11 {-2,-3,-4,-4,-3,1,1,-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]] x1^(1/2)*x2^(1/2) -x1*x2^-1-x1-x1*x2-x1*x2^2+q*x1^2*x2^-2+q*x1^2*x2^-1+2*q*x1^2+q^2*x1^2*x2+2*q*x1^2*x2+q^3*x1^2*x2^2+q^2*x1^2*x2^2+2*q*x1^2*x2^2
L9a37{0} 10 {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]] x1^(1/2)*x2^(1/2) x1^-1*x2^2-q*x2-3*q*x2^2+x2^2-q*x1*x2+q^2*x1*x2^2-3*q*x1*x2^2-q*x1^2*x2+q^2*x1^2*x2^2-3*q*x1^2*x2^2-q^-1*x1^2*x2^2
L9a37{0} 10 {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]] x1^(1/2)*x2^(1/2) x1^-1*x2^2-q*x2-3*q*x2^2+x2^2-q*x1*x2+q^2*x1*x2^2-3*q*x1*x2^2-q*x1^2*x2+q^2*x1^2*x2^2-3*q*x1^2*x2^2-q^-1*x1^2*x2^2
L9a37{0} 10 {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 -q*x1-q*x1*x2-q*x1*x2^2+x1^2*x2^-1-3*q*x1^2+x1^2+q^2*x1^2*x2-3*q*x1^2*x2+q^2*x1^2*x2^2-3*q*x1^2*x2^2-q^-1*x1^2*x2^2
L9a37{0} 10 {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 -q*x1-q*x1*x2-q*x1*x2^2+x1^2*x2^-1-3*q*x1^2+x1^2+q^2*x1^2*x2-3*q*x1^2*x2+q^2*x1^2*x2^2-3*q*x1^2*x2^2-q^-1*x1^2*x2^2
L9a37{1} 12 {-2,3,-2,-3,-1,2,2,-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]] x1^(1/2)*x2^(1/2) -q^-1*x1-q^-1*x1*x2-q^-1*x1*x2^2+x1^2*x2^-1+x1^2-2*q^-1*x1^2+2*x1^2*x2-2*q^-1*x1^2*x2+q^-2*x1^2*x2+q*x1^2*x2^2+2*x1^2*x2^2-2*q^-1*x1^2*x2^2+q^-2*x1^2*x2^2
L9a37{1} 12 {-2,3,-2,-3,-1,2,2,-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]] x1^(1/2)*x2^(1/2) -q^-1*x1-q^-1*x1*x2-q^-1*x1*x2^2+x1^2*x2^-1+x1^2-2*q^-1*x1^2+2*x1^2*x2-2*q^-1*x1^2*x2+q^-2*x1^2*x2+q*x1^2*x2^2+2*x1^2*x2^2-2*q^-1*x1^2*x2^2+q^-2*x1^2*x2^2
L9a38{0} 9 {1,1,1,-2,-2,-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*x2-x1*x2^2-x1^2*x2+q*x1^2*x2^2-x1^2*x2^2+q^-1*x1^2*x2^2
L9a38{0} 9 {1,1,1,-2,-2,-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*x2-x1*x2^2-x1^2*x2+q*x1^2*x2^2-x1^2*x2^2+q^-1*x1^2*x2^2
L9a38{1} 11 {2,-3,4,2,-3,-4,-4,2,1,-2,1} [[1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1], [1, 1, -1, 1, 1, 1, -1, 1, 1, 1]] x1^(1/2)*x2^(1/2) q*x1^-2*x2^2+q^-1*x1^-2*x2^2-x1^-1*x2+q*x1^-1*x2^2-x1^-1*x2^2+q^-1*x1^-1*x2^2-x2+q*x2^2-x2^2+q^-1*x2^2-x1*x2+q*x1*x2^2-x1*x2^2+q^-1*x1*x2^2-x1^2*x2+q*x1^2*x2^2-x1^2*x2^2+q^-1*x1^2*x2^2
L9a38{1} 11 {2,-3,4,2,-3,-4,-4,2,1,-2,1} [[-1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1], [1, 1, -1, 1, 1, 1, -1, 1, 1, -1]] 1 q*x1^-2*x2^2+q^-1*x1^-2*x2^2-x1^-1*x2+q*x1^-1*x2^2-x1^-1*x2^2+q^-1*x1^-1*x2^2-x2+q*x2^2-x2^2+q^-1*x2^2-x1*x2+q*x1*x2^2-x1*x2^2+q^-1*x1*x2^2-x1^2*x2+q*x1^2*x2^2-x1^2*x2^2+q^-1*x1^2*x2^2
L9a38{1} 11 {2,-3,4,2,-3,-4,-4,2,1,-2,1} [[1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1], [1, 1, -1, -1, -1, -1, -1, 1, 1, 1]] 1 -x1*x2^-1-x1-x1*x2-x1*x2^2+q*x1^2*x2^-2+q^-1*x1^2*x2^-2+q*x1^2*x2^-1-x1^2*x2^-1+q^-1*x1^2*x2^-1+q*x1^2-x1^2+q^-1*x1^2+q*x1^2*x2-x1^2*x2+q^-1*x1^2*x2+q*x1^2*x2^2-x1^2*x2^2+q^-1*x1^2*x2^2
L9a38{1} 11 {2,-3,4,2,-3,-4,-4,2,1,-2,1} [[-1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1], [1, 1, -1, -1, -1, -1, -1, 1, 1, -1]] 1 -x1*x2^-1-x1-x1*x2-x1*x2^2+q*x1^2*x2^-2+q^-1*x1^2*x2^-2+q*x1^2*x2^-1-x1^2*x2^-1+q^-1*x1^2*x2^-1+q*x1^2-x1^2+q^-1*x1^2+q*x1^2*x2-x1^2*x2+q^-1*x1^2*x2+q*x1^2*x2^2-x1^2*x2^2+q^-1*x1^2*x2^2
L9a39{0} 9 {1,-2,-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*x2-q^-2*x1*x2^2-q^-2*x1^2*x2+q^-1*x1^2*x2^2-q^-2*x1^2*x2^2+q^-3*x1^2*x2^2
L9a39{0} 9 {1,-2,-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]] x1^(1/2)*x2^(1/2) -q^-2*x1*x2-q^-2*x1*x2^2-q^-2*x1^2*x2+q^-1*x1^2*x2^2-q^-2*x1^2*x2^2+q^-3*x1^2*x2^2
L9a40{0} 10 {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, -1, 1]] x1^(1/2)*x2^(1/2) -q^-2*x1-q^-2*x1*x2-q^-2*x1*x2^2+q^-3*x1^2*x2^-1+q^-3*x1^2+2*q^-3*x1^2*x2+2*q^-3*x1^2*x2^2
L9a40{0} 10 {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, -1, 1]] x1^(1/2)*x2^(1/2) q^-3*x1^-1*x2^2-q^-2*x2+q^-3*x2^2-q^-2*x1*x2+2*q^-3*x1*x2^2-q^-2*x1^2*x2+2*q^-3*x1^2*x2^2
L9a40{0} 10 {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, -1, -1]] 1 -q^-2*x1-q^-2*x1*x2-q^-2*x1*x2^2+q^-3*x1^2*x2^-1+q^-3*x1^2+2*q^-3*x1^2*x2+2*q^-3*x1^2*x2^2
L9a40{0} 10 {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, -1, -1]] 1 q^-3*x1^-1*x2^2-q^-2*x2+q^-3*x2^2-q^-2*x1*x2+2*q^-3*x1*x2^2-q^-2*x1^2*x2+2*q^-3*x1^2*x2^2
L9a40{1} 10 {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, -1, 1]] x1^(1/2)*x2^(1/2) -q^-2*x1-q^-2*x1*x2-q^-2*x1*x2^2+q^-3*x1^2*x2^-1+q^-3*x1^2+2*q^-3*x1^2*x2+2*q^-3*x1^2*x2^2
L9a40{1} 10 {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, -1, 1]] x1^(1/2)*x2^(1/2) q^-3*x1^-1*x2^2-q^-2*x2+q^-3*x2^2-q^-2*x1*x2+2*q^-3*x1*x2^2-q^-2*x1^2*x2+2*q^-3*x1^2*x2^2
L9a40{1} 10 {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, -1, -1]] x1^(1/2)*x2^(1/2) -q^-2*x1-q^-2*x1*x2-q^-2*x1*x2^2+q^-3*x1^2*x2^-1+q^-3*x1^2+2*q^-3*x1^2*x2+2*q^-3*x1^2*x2^2
L9a40{1} 10 {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, -1, -1]] x1^(1/2)*x2^(1/2) q^-3*x1^-1*x2^2-q^-2*x2+q^-3*x2^2-q^-2*x1*x2+2*q^-3*x1*x2^2-q^-2*x1^2*x2+2*q^-3*x1^2*x2^2
L9a41{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^-2*x1*x2-q^-2*x1*x2^2-q^-2*x1^2*x2+q^-1*x1^2*x2^2-q^-2*x1^2*x2^2+2*q^-3*x1^2*x2^2
L9a41{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^-2*x1*x2-q^-2*x1*x2^2-q^-2*x1^2*x2+q^-1*x1^2*x2^2-q^-2*x1^2*x2^2+2*q^-3*x1^2*x2^2
L9a41{1} 13 {1,-2,1,-3,-4,3,2,-3,2,-4,3,3,2} [[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 2*q^-1*x1^-2*x2^2-x1^-1*x2-2*x1^-1*x2^2+2*q^-1*x1^-1*x2^2-x2-2*x2^2+q^-1*x2^2-x1*x2-2*x1*x2^2+q^-1*x1*x2^2-q^-2*x1*x2^2-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
L9a41{1} 13 {1,-2,1,-3,-4,3,2,-3,2,-4,3,3,2} [[-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]] x1^(1/2)*x2^(1/2) 2*q^-1*x1^-2*x2^2-x1^-1*x2-2*x1^-1*x2^2+2*q^-1*x1^-1*x2^2-x2-2*x2^2+q^-1*x2^2-x1*x2-2*x1*x2^2+q^-1*x1*x2^2-q^-2*x1*x2^2-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
L9a41{1} 13 {1,-2,1,-3,-4,3,2,-3,2,-4,3,3,2} [[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]] x1^(1/2)*x2^(1/2) -x1*x2^-1-x1-x1*x2-x1*x2^2+2*q^-1*x1^2*x2^-2-2*x1^2*x2^-1+2*q^-1*x1^2*x2^-1-2*x1^2+q^-1*x1^2-2*x1^2*x2+q^-1*x1^2*x2-q^-2*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
L9a41{1} 13 {1,-2,1,-3,-4,3,2,-3,2,-4,3,3,2} [[-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^-1-x1-x1*x2-x1*x2^2+2*q^-1*x1^2*x2^-2-2*x1^2*x2^-1+2*q^-1*x1^2*x2^-1-2*x1^2+q^-1*x1^2-2*x1^2*x2+q^-1*x1^2*x2-q^-2*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
L9a42{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]] 1 -x1*x2-x1*x2^2-2*x1^2*x2+2*q*x1^2*x2^2-2*x1^2*x2^2+q^-1*x1^2*x2^2
L9a42{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]] 1 -x1*x2-x1*x2^2-2*x1^2*x2+2*q*x1^2*x2^2-2*x1^2*x2^2+q^-1*x1^2*x2^2
L9a42{1} 13 {1,2,-3,4,-3,2,-1,2,-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^-1-x1-x1*x2-x1*x2^2-x1^2*x2^-3+2*q*x1^2*x2^-2-x1^2*x2^-2+q^-1*x1^2*x2^-2+2*q*x1^2*x2^-1-3*x1^2*x2^-1+q^-1*x1^2*x2^-1+2*q*x1^2-3*x1^2+q^-1*x1^2+2*q*x1^2*x2-3*x1^2*x2+q^-1*x1^2*x2+2*q*x1^2*x2^2-3*x1^2*x2^2+q^-1*x1^2*x2^2
L9a42{1} 13 {1,2,-3,4,-3,2,-1,2,-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]] x1^(1/2)*x2^(1/2) -x1*x2^-1-x1-x1*x2-x1*x2^2-x1^2*x2^-3+2*q*x1^2*x2^-2-x1^2*x2^-2+q^-1*x1^2*x2^-2+2*q*x1^2*x2^-1-3*x1^2*x2^-1+q^-1*x1^2*x2^-1+2*q*x1^2-3*x1^2+q^-1*x1^2+2*q*x1^2*x2-3*x1^2*x2+q^-1*x1^2*x2+2*q*x1^2*x2^2-3*x1^2*x2^2+q^-1*x1^2*x2^2
L9a43{0;1} 9 {-1,-1,2,2,-1,-3,2,2,-3} [[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) -x1-x1*x3-x1*x3^2-x1*x2-x1*x2*x3-q^-1*x1*x2*x3-x1*x2*x3^2-q^-1*x1*x2*x3^2-q^-2*x1*x2*x3^2-x1*x2^2-x1*x2^2*x3-q^-1*x1*x2^2*x3-q^-2*x1*x2^2*x3-x1*x2^2*x3^2-q^-1*x1*x2^2*x3^2-2*q^-2*x1*x2^2*x3^2-q^-3*x1*x2^2*x3^2-q^-4*x1*x2^2*x3^2-2*x1^2+q*x1^2*x3-2*x1^2*x3+q^2*x1^2*x3^2+q*x1^2*x3^2-2*x1^2*x3^2+q*x1^2*x2-2*x1^2*x2+2*q*x1^2*x2*x3-2*x1^2*x2*x3-2*q^-1*x1^2*x2*x3+q^2*x1^2*x2*x3^2+3*q*x1^2*x2*x3^2-x1^2*x2*x3^2-2*q^-1*x1^2*x2*x3^2-2*q^-2*x1^2*x2*x3^2+q^2*x1^2*x2^2+q*x1^2*x2^2-2*x1^2*x2^2+q^2*x1^2*x2^2*x3+3*q*x1^2*x2^2*x3-x1^2*x2^2*x3-2*q^-1*x1^2*x2^2*x3-2*q^-2*x1^2*x2^2*x3+2*q^2*x1^2*x2^2*x3^2+4*q*x1^2*x2^2*x3^2+2*x1^2*x2^2*x3^2-4*q^-2*x1^2*x2^2*x3^2-2*q^-3*x1^2*x2^2*x3^2-2*q^-4*x1^2*x2^2*x3^2
L9a43{0;1} 9 {-1,-1,2,2,-1,-3,2,2,-3} [[-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) -x1-x1*x3-x1*x3^2-x1*x2-x1*x2*x3-q^-1*x1*x2*x3-x1*x2*x3^2-q^-1*x1*x2*x3^2-q^-2*x1*x2*x3^2-x1*x2^2-x1*x2^2*x3-q^-1*x1*x2^2*x3-q^-2*x1*x2^2*x3-x1*x2^2*x3^2-q^-1*x1*x2^2*x3^2-2*q^-2*x1*x2^2*x3^2-q^-3*x1*x2^2*x3^2-q^-4*x1*x2^2*x3^2-2*x1^2+q*x1^2*x3-2*x1^2*x3+q^2*x1^2*x3^2+q*x1^2*x3^2-2*x1^2*x3^2+q*x1^2*x2-2*x1^2*x2+2*q*x1^2*x2*x3-2*x1^2*x2*x3-2*q^-1*x1^2*x2*x3+q^2*x1^2*x2*x3^2+3*q*x1^2*x2*x3^2-x1^2*x2*x3^2-2*q^-1*x1^2*x2*x3^2-2*q^-2*x1^2*x2*x3^2+q^2*x1^2*x2^2+q*x1^2*x2^2-2*x1^2*x2^2+q^2*x1^2*x2^2*x3+3*q*x1^2*x2^2*x3-x1^2*x2^2*x3-2*q^-1*x1^2*x2^2*x3-2*q^-2*x1^2*x2^2*x3+2*q^2*x1^2*x2^2*x3^2+4*q*x1^2*x2^2*x3^2+2*x1^2*x2^2*x3^2-4*q^-2*x1^2*x2^2*x3^2-2*q^-3*x1^2*x2^2*x3^2-2*q^-4*x1^2*x2^2*x3^2
L9a43{1;0} 11 {1,-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, 1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -x3-3*x3^2+2*q*x2*x3^2-x1*x3-3*x1*x3^2-q^-1*x1*x3^2+q*x1*x2*x3+q^2*x1*x2*x3^2+5*q*x1*x2*x3^2+x1*x2*x3^2-2*q^3*x1*x2^2*x3^2-2*q^2*x1*x2^2*x3^2-x1^2*x3-3*x1^2*x3^2-q^-1*x1^2*x3^2-q^-2*x1^2*x3^2+q^2*x1^2*x2*x3+q*x1^2*x2*x3+q^3*x1^2*x2*x3^2+4*q^2*x1^2*x2*x3^2+6*q*x1^2*x2*x3^2+2*x1^2*x2*x3^2+q^-1*x1^2*x2*x3^2-q^3*x1^2*x2^2*x3-q^5*x1^2*x2^2*x3^2-3*q^4*x1^2*x2^2*x3^2-7*q^3*x1^2*x2^2*x3^2-3*q^2*x1^2*x2^2*x3^2-q*x1^2*x2^2*x3^2
L9a43{1;0} 11 {1,-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, 1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -x3-3*x3^2+2*q*x2*x3^2-x1*x3-3*x1*x3^2-q^-1*x1*x3^2+q*x1*x2*x3+q^2*x1*x2*x3^2+5*q*x1*x2*x3^2+x1*x2*x3^2-2*q^3*x1*x2^2*x3^2-2*q^2*x1*x2^2*x3^2-x1^2*x3-3*x1^2*x3^2-q^-1*x1^2*x3^2-q^-2*x1^2*x3^2+q^2*x1^2*x2*x3+q*x1^2*x2*x3+q^3*x1^2*x2*x3^2+4*q^2*x1^2*x2*x3^2+6*q*x1^2*x2*x3^2+2*x1^2*x2*x3^2+q^-1*x1^2*x2*x3^2-q^3*x1^2*x2^2*x3-q^5*x1^2*x2^2*x3^2-3*q^4*x1^2*x2^2*x3^2-7*q^3*x1^2*x2^2*x3^2-3*q^2*x1^2*x2^2*x3^2-q*x1^2*x2^2*x3^2
L9a43{1;1} 11 {1,-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, 1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -x3-3*x3^2+2*q*x2*x3^2-x1*x3-3*x1*x3^2-q^-1*x1*x3^2+q*x1*x2*x3+q^2*x1*x2*x3^2+5*q*x1*x2*x3^2+x1*x2*x3^2-2*q^3*x1*x2^2*x3^2-2*q^2*x1*x2^2*x3^2-x1^2*x3-3*x1^2*x3^2-q^-1*x1^2*x3^2-q^-2*x1^2*x3^2+q^2*x1^2*x2*x3+q*x1^2*x2*x3+q^3*x1^2*x2*x3^2+4*q^2*x1^2*x2*x3^2+6*q*x1^2*x2*x3^2+2*x1^2*x2*x3^2+q^-1*x1^2*x2*x3^2-q^3*x1^2*x2^2*x3-q^5*x1^2*x2^2*x3^2-3*q^4*x1^2*x2^2*x3^2-7*q^3*x1^2*x2^2*x3^2-3*q^2*x1^2*x2^2*x3^2-q*x1^2*x2^2*x3^2
L9a43{1;1} 11 {1,-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, 1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -x3-3*x3^2+2*q*x2*x3^2-x1*x3-3*x1*x3^2-q^-1*x1*x3^2+q*x1*x2*x3+q^2*x1*x2*x3^2+5*q*x1*x2*x3^2+x1*x2*x3^2-2*q^3*x1*x2^2*x3^2-2*q^2*x1*x2^2*x3^2-x1^2*x3-3*x1^2*x3^2-q^-1*x1^2*x3^2-q^-2*x1^2*x3^2+q^2*x1^2*x2*x3+q*x1^2*x2*x3+q^3*x1^2*x2*x3^2+4*q^2*x1^2*x2*x3^2+6*q*x1^2*x2*x3^2+2*x1^2*x2*x3^2+q^-1*x1^2*x2*x3^2-q^3*x1^2*x2^2*x3-q^5*x1^2*x2^2*x3^2-3*q^4*x1^2*x2^2*x3^2-7*q^3*x1^2*x2^2*x3^2-3*q^2*x1^2*x2^2*x3^2-q*x1^2*x2^2*x3^2
L9a44{0;0} 11 {1,-2,-3,-2,1,1,1,-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, 1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -q*x2-2*q*x2*x3-q^2*x2*x3^2-3*q*x2*x3^2-q*x2^2+q^2*x2^2*x3-2*q*x2^2*x3-x2^2*x3+2*q^3*x2^2*x3^2+q^2*x2^2*x3^2-4*q*x2^2*x3^2-2*x2^2*x3^2-q^-1*x2^2*x3^2-q*x1*x2-2*q*x1*x2*x3-x1*x2*x3-q^2*x1*x2*x3^2-4*q*x1*x2*x3^2-2*x1*x2*x3^2-q^-1*x1*x2*x3^2+q^2*x1*x2^2-q*x1*x2^2+q^3*x1*x2^2*x3+3*q^2*x1*x2^2*x3-q*x1*x2^2*x3-2*x1*x2^2*x3+2*q^4*x1*x2^2*x3^2+5*q^3*x1*x2^2*x3^2+6*q^2*x1*x2^2*x3^2-2*q*x1*x2^2*x3^2-4*x1*x2^2*x3^2-3*q^-1*x1*x2^2*x3^2-q*x1^2*x2-2*q*x1^2*x2*x3-x1^2*x2*x3-q^-1*x1^2*x2*x3-q^2*x1^2*x2*x3^2-4*q*x1^2*x2*x3^2-3*x1^2*x2*x3^2-3*q^-1*x1^2*x2*x3^2-q^-2*x1^2*x2*x3^2-q^-3*x1^2*x2*x3^2+q^3*x1^2*x2^2+q^2*x1^2*x2^2-q*x1^2*x2^2+q^4*x1^2*x2^2*x3+3*q^3*x1^2*x2^2*x3+4*q^2*x1^2*x2^2*x3-x1^2*x2^2*x3-q^-1*x1^2*x2^2*x3+2*q^5*x1^2*x2^2*x3^2+5*q^4*x1^2*x2^2*x3^2+10*q^3*x1^2*x2^2*x3^2+10*q^2*x1^2*x2^2*x3^2+3*q*x1^2*x2^2*x3^2-x1^2*x2^2*x3^2-4*q^-1*x1^2*x2^2*x3^2-q^-2*x1^2*x2^2*x3^2-q^-3*x1^2*x2^2*x3^2
L9a44{0;0} 11 {1,-2,-3,-2,1,1,1,-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, 1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -q*x2-2*q*x2*x3-q^2*x2*x3^2-3*q*x2*x3^2-q*x2^2+q^2*x2^2*x3-2*q*x2^2*x3-x2^2*x3+2*q^3*x2^2*x3^2+q^2*x2^2*x3^2-4*q*x2^2*x3^2-2*x2^2*x3^2-q^-1*x2^2*x3^2-q*x1*x2-2*q*x1*x2*x3-x1*x2*x3-q^2*x1*x2*x3^2-4*q*x1*x2*x3^2-2*x1*x2*x3^2-q^-1*x1*x2*x3^2+q^2*x1*x2^2-q*x1*x2^2+q^3*x1*x2^2*x3+3*q^2*x1*x2^2*x3-q*x1*x2^2*x3-2*x1*x2^2*x3+2*q^4*x1*x2^2*x3^2+5*q^3*x1*x2^2*x3^2+6*q^2*x1*x2^2*x3^2-2*q*x1*x2^2*x3^2-4*x1*x2^2*x3^2-3*q^-1*x1*x2^2*x3^2-q*x1^2*x2-2*q*x1^2*x2*x3-x1^2*x2*x3-q^-1*x1^2*x2*x3-q^2*x1^2*x2*x3^2-4*q*x1^2*x2*x3^2-3*x1^2*x2*x3^2-3*q^-1*x1^2*x2*x3^2-q^-2*x1^2*x2*x3^2-q^-3*x1^2*x2*x3^2+q^3*x1^2*x2^2+q^2*x1^2*x2^2-q*x1^2*x2^2+q^4*x1^2*x2^2*x3+3*q^3*x1^2*x2^2*x3+4*q^2*x1^2*x2^2*x3-x1^2*x2^2*x3-q^-1*x1^2*x2^2*x3+2*q^5*x1^2*x2^2*x3^2+5*q^4*x1^2*x2^2*x3^2+10*q^3*x1^2*x2^2*x3^2+10*q^2*x1^2*x2^2*x3^2+3*q*x1^2*x2^2*x3^2-x1^2*x2^2*x3^2-4*q^-1*x1^2*x2^2*x3^2-q^-2*x1^2*x2^2*x3^2-q^-3*x1^2*x2^2*x3^2
L9a44{0;1} 11 {1,-2,-3,-2,1,1,1,-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, 1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -q*x2-2*q*x2*x3-q^2*x2*x3^2-3*q*x2*x3^2-q*x2^2+q^2*x2^2*x3-2*q*x2^2*x3-x2^2*x3+2*q^3*x2^2*x3^2+q^2*x2^2*x3^2-4*q*x2^2*x3^2-2*x2^2*x3^2-q^-1*x2^2*x3^2-q*x1*x2-2*q*x1*x2*x3-x1*x2*x3-q^2*x1*x2*x3^2-4*q*x1*x2*x3^2-2*x1*x2*x3^2-q^-1*x1*x2*x3^2+q^2*x1*x2^2-q*x1*x2^2+q^3*x1*x2^2*x3+3*q^2*x1*x2^2*x3-q*x1*x2^2*x3-2*x1*x2^2*x3+2*q^4*x1*x2^2*x3^2+5*q^3*x1*x2^2*x3^2+6*q^2*x1*x2^2*x3^2-2*q*x1*x2^2*x3^2-4*x1*x2^2*x3^2-3*q^-1*x1*x2^2*x3^2-q*x1^2*x2-2*q*x1^2*x2*x3-x1^2*x2*x3-q^-1*x1^2*x2*x3-q^2*x1^2*x2*x3^2-4*q*x1^2*x2*x3^2-3*x1^2*x2*x3^2-3*q^-1*x1^2*x2*x3^2-q^-2*x1^2*x2*x3^2-q^-3*x1^2*x2*x3^2+q^3*x1^2*x2^2+q^2*x1^2*x2^2-q*x1^2*x2^2+q^4*x1^2*x2^2*x3+3*q^3*x1^2*x2^2*x3+4*q^2*x1^2*x2^2*x3-x1^2*x2^2*x3-q^-1*x1^2*x2^2*x3+2*q^5*x1^2*x2^2*x3^2+5*q^4*x1^2*x2^2*x3^2+10*q^3*x1^2*x2^2*x3^2+10*q^2*x1^2*x2^2*x3^2+3*q*x1^2*x2^2*x3^2-x1^2*x2^2*x3^2-4*q^-1*x1^2*x2^2*x3^2-q^-2*x1^2*x2^2*x3^2-q^-3*x1^2*x2^2*x3^2
L9a44{0;1} 11 {1,-2,-3,-2,1,1,1,-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, 1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -q*x2-2*q*x2*x3-q^2*x2*x3^2-3*q*x2*x3^2-q*x2^2+q^2*x2^2*x3-2*q*x2^2*x3-x2^2*x3+2*q^3*x2^2*x3^2+q^2*x2^2*x3^2-4*q*x2^2*x3^2-2*x2^2*x3^2-q^-1*x2^2*x3^2-q*x1*x2-2*q*x1*x2*x3-x1*x2*x3-q^2*x1*x2*x3^2-4*q*x1*x2*x3^2-2*x1*x2*x3^2-q^-1*x1*x2*x3^2+q^2*x1*x2^2-q*x1*x2^2+q^3*x1*x2^2*x3+3*q^2*x1*x2^2*x3-q*x1*x2^2*x3-2*x1*x2^2*x3+2*q^4*x1*x2^2*x3^2+5*q^3*x1*x2^2*x3^2+6*q^2*x1*x2^2*x3^2-2*q*x1*x2^2*x3^2-4*x1*x2^2*x3^2-3*q^-1*x1*x2^2*x3^2-q*x1^2*x2-2*q*x1^2*x2*x3-x1^2*x2*x3-q^-1*x1^2*x2*x3-q^2*x1^2*x2*x3^2-4*q*x1^2*x2*x3^2-3*x1^2*x2*x3^2-3*q^-1*x1^2*x2*x3^2-q^-2*x1^2*x2*x3^2-q^-3*x1^2*x2*x3^2+q^3*x1^2*x2^2+q^2*x1^2*x2^2-q*x1^2*x2^2+q^4*x1^2*x2^2*x3+3*q^3*x1^2*x2^2*x3+4*q^2*x1^2*x2^2*x3-x1^2*x2^2*x3-q^-1*x1^2*x2^2*x3+2*q^5*x1^2*x2^2*x3^2+5*q^4*x1^2*x2^2*x3^2+10*q^3*x1^2*x2^2*x3^2+10*q^2*x1^2*x2^2*x3^2+3*q*x1^2*x2^2*x3^2-x1^2*x2^2*x3^2-4*q^-1*x1^2*x2^2*x3^2-q^-2*x1^2*x2^2*x3^2-q^-3*x1^2*x2^2*x3^2
L9a44{1;0} 9 {-1,2,2,-1,-3,2,2,2,-3} [[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*x2-q*x2*x3-q*x2*x3^2-2*q*x2^2-2*q*x2^2*x3-x2^2*x3-2*q*x2^2*x3^2-x2^2*x3^2-q^-1*x2^2*x3^2-q*x1*x2+q^2*x1*x2*x3-q*x1*x2*x3+q^3*x1*x2*x3^2+q^2*x1*x2*x3^2-q*x1*x2*x3^2-2*q*x1*x2^2-x1*x2^2+2*q^2*x1*x2^2*x3-2*q*x1*x2^2*x3-2*x1*x2^2*x3+2*q^3*x1*x2^2*x3^2+3*q^2*x1*x2^2*x3^2-q*x1*x2^2*x3^2-2*x1*x2^2*x3^2-q^-1*x1*x2^2*x3^2-q*x1^2*x2+q^3*x1^2*x2*x3+q^2*x1^2*x2*x3-q*x1^2*x2*x3+2*q^3*x1^2*x2*x3^2+q^2*x1^2*x2*x3^2-q*x1^2*x2*x3^2-2*q*x1^2*x2^2-x1^2*x2^2-q^-1*x1^2*x2^2+2*q^3*x1^2*x2^2*x3+3*q^2*x1^2*x2^2*x3-q*x1^2*x2^2*x3-2*x1^2*x2^2*x3-q^-1*x1^2*x2^2*x3+6*q^3*x1^2*x2^2*x3^2+6*q^2*x1^2*x2^2*x3^2-2*x1^2*x2^2*x3^2-2*q^-1*x1^2*x2^2*x3^2
L9a44{1;0} 9 {-1,2,2,-1,-3,2,2,2,-3} [[-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*x2-q*x2*x3-q*x2*x3^2-2*q*x2^2-2*q*x2^2*x3-x2^2*x3-2*q*x2^2*x3^2-x2^2*x3^2-q^-1*x2^2*x3^2-q*x1*x2+q^2*x1*x2*x3-q*x1*x2*x3+q^3*x1*x2*x3^2+q^2*x1*x2*x3^2-q*x1*x2*x3^2-2*q*x1*x2^2-x1*x2^2+2*q^2*x1*x2^2*x3-2*q*x1*x2^2*x3-2*x1*x2^2*x3+2*q^3*x1*x2^2*x3^2+3*q^2*x1*x2^2*x3^2-q*x1*x2^2*x3^2-2*x1*x2^2*x3^2-q^-1*x1*x2^2*x3^2-q*x1^2*x2+q^3*x1^2*x2*x3+q^2*x1^2*x2*x3-q*x1^2*x2*x3+2*q^3*x1^2*x2*x3^2+q^2*x1^2*x2*x3^2-q*x1^2*x2*x3^2-2*q*x1^2*x2^2-x1^2*x2^2-q^-1*x1^2*x2^2+2*q^3*x1^2*x2^2*x3+3*q^2*x1^2*x2^2*x3-q*x1^2*x2^2*x3-2*x1^2*x2^2*x3-q^-1*x1^2*x2^2*x3+6*q^3*x1^2*x2^2*x3^2+6*q^2*x1^2*x2^2*x3^2-2*x1^2*x2^2*x3^2-2*q^-1*x1^2*x2^2*x3^2
L9a46{0;0} 9 {-1,2,-1,2,-1,-3,2,-3,2} [[1, -1, 1, -1], [-1, 1, -1, 1, -1, 1], [1, -1, 1, -1, 1, -1, 1, -1]] x1^(1/2) -x2*x3-2*x2*x3^2-2*x2^2*x3+q*x2^2*x3^2-4*x2^2*x3^2-q^-1*x2^2*x3^2-x1*x2*x3-2*x1*x2*x3^2-2*x1*x2^2*x3+q*x1*x2^2*x3^2-5*x1*x2^2*x3^2-q^-1*x1*x2^2*x3^2+q^-2*x1*x2^2*x3^2-x1^2*x2*x3-2*x1^2*x2*x3^2-2*x1^2*x2^2*x3-5*x1^2*x2^2*x3^2-q^-1*x1^2*x2^2*x3^2+q^-2*x1^2*x2^2*x3^2+q^-3*x1^2*x2^2*x3^2
L9a46{0;0} 9 {-1,2,-1,2,-1,-3,2,-3,2} [[-1, -1, 1, -1], [-1, -1, -1, 1, -1, 1], [1, -1, -1, -1, 1, -1, 1, -1]] x1^(1/2) -x2*x3-2*x2*x3^2-2*x2^2*x3+q*x2^2*x3^2-4*x2^2*x3^2-q^-1*x2^2*x3^2-x1*x2*x3-2*x1*x2*x3^2-2*x1*x2^2*x3+q*x1*x2^2*x3^2-5*x1*x2^2*x3^2-q^-1*x1*x2^2*x3^2+q^-2*x1*x2^2*x3^2-x1^2*x2*x3-2*x1^2*x2*x3^2-2*x1^2*x2^2*x3-5*x1^2*x2^2*x3^2-q^-1*x1^2*x2^2*x3^2+q^-2*x1^2*x2^2*x3^2+q^-3*x1^2*x2^2*x3^2
L9a46{0;1} 9 {1,-2,1,-2,1,3,-2,3,3} [[1, 1, -1, 1], [1, 1, 1, -1, 1, -1, 1, -1], [-1, 1, 1, 1, -1, 1]] 1 -q*x2*x3-2*q*x2*x3^2-2*q*x2^2*x3+q^2*x2^2*x3^2-4*q*x2^2*x3^2-x2^2*x3^2-q*x1*x2*x3-2*q*x1*x2*x3^2-2*q*x1*x2^2*x3+q^3*x1*x2^2*x3^2+q^2*x1*x2^2*x3^2-7*q*x1*x2^2*x3^2-x1*x2^2*x3^2+2*q^-1*x1*x2^2*x3^2-q*x1^2*x2*x3-2*q*x1^2*x2*x3^2-2*q*x1^2*x2^2*x3+q^4*x1^2*x2^2*x3^2+q^3*x1^2*x2^2*x3^2-q^2*x1^2*x2^2*x3^2-7*q*x1^2*x2^2*x3^2-2*x1^2*x2^2*x3^2+2*q^-1*x1^2*x2^2*x3^2+2*q^-2*x1^2*x2^2*x3^2
L9a46{0;1} 9 {1,-2,1,-2,1,3,-2,3,3} [[-1, 1, -1, 1], [1, -1, 1, -1, 1, -1, 1, -1], [-1, 1, -1, 1, -1, 1]] x1^(1/2) -q*x2*x3-2*q*x2*x3^2-2*q*x2^2*x3+q^2*x2^2*x3^2-4*q*x2^2*x3^2-x2^2*x3^2-q*x1*x2*x3-2*q*x1*x2*x3^2-2*q*x1*x2^2*x3+q^3*x1*x2^2*x3^2+q^2*x1*x2^2*x3^2-7*q*x1*x2^2*x3^2-x1*x2^2*x3^2+2*q^-1*x1*x2^2*x3^2-q*x1^2*x2*x3-2*q*x1^2*x2*x3^2-2*q*x1^2*x2^2*x3+q^4*x1^2*x2^2*x3^2+q^3*x1^2*x2^2*x3^2-q^2*x1^2*x2^2*x3^2-7*q*x1^2*x2^2*x3^2-2*x1^2*x2^2*x3^2+2*q^-1*x1^2*x2^2*x3^2+2*q^-2*x1^2*x2^2*x3^2
L9a46{1;0} 9 {1,-2,1,-2,1,3,-2,3,3} [[1, 1, -1, 1], [1, 1, 1, -1, 1, -1, 1, -1], [-1, 1, 1, 1, -1, 1]] x1^(1/2) -q*x2*x3-2*q*x2*x3^2-2*q*x2^2*x3+q^2*x2^2*x3^2-4*q*x2^2*x3^2-x2^2*x3^2-q*x1*x2*x3-2*q*x1*x2*x3^2-2*q*x1*x2^2*x3+q^3*x1*x2^2*x3^2+q^2*x1*x2^2*x3^2-7*q*x1*x2^2*x3^2-x1*x2^2*x3^2+2*q^-1*x1*x2^2*x3^2-q*x1^2*x2*x3-2*q*x1^2*x2*x3^2-2*q*x1^2*x2^2*x3+q^4*x1^2*x2^2*x3^2+q^3*x1^2*x2^2*x3^2-q^2*x1^2*x2^2*x3^2-7*q*x1^2*x2^2*x3^2-2*x1^2*x2^2*x3^2+2*q^-1*x1^2*x2^2*x3^2+2*q^-2*x1^2*x2^2*x3^2
L9a46{1;0} 9 {1,-2,1,-2,1,3,-2,3,3} [[-1, 1, -1, 1], [1, -1, 1, -1, 1, -1, 1, -1], [-1, 1, -1, 1, -1, 1]] x1^(1/2) -q*x2*x3-2*q*x2*x3^2-2*q*x2^2*x3+q^2*x2^2*x3^2-4*q*x2^2*x3^2-x2^2*x3^2-q*x1*x2*x3-2*q*x1*x2*x3^2-2*q*x1*x2^2*x3+q^3*x1*x2^2*x3^2+q^2*x1*x2^2*x3^2-7*q*x1*x2^2*x3^2-x1*x2^2*x3^2+2*q^-1*x1*x2^2*x3^2-q*x1^2*x2*x3-2*q*x1^2*x2*x3^2-2*q*x1^2*x2^2*x3+q^4*x1^2*x2^2*x3^2+q^3*x1^2*x2^2*x3^2-q^2*x1^2*x2^2*x3^2-7*q*x1^2*x2^2*x3^2-2*x1^2*x2^2*x3^2+2*q^-1*x1^2*x2^2*x3^2+2*q^-2*x1^2*x2^2*x3^2

100 rows shown · 637 matching rows · Gukov-Manolescu series (F_K) for most nice Links up to 9 crossings

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Metadata and schema

Provenance
Unknown / not supplied
Authors
Unknown / not supplied
Citations
['Davide Passaro, Lara San Martín Suárez. "The Gukov-Manolescu Series for Links." In preparation.']
Bibtex
Unknown / not supplied
License
Unknown / not supplied
Methodology
Legacy schema requires audit. Source payloads are preserved; name-based joins are uncertified.
Completeness
Unknown / not supplied

Name-based joins are uncertified.

ColumnTypeDescription
knotinfo_idstringKnotInfo identifier
braid_lengthintLength of the braid used for the computation
braidmathematica_short_codeBraid word used for the computation
sign_diagramstringSign diagram used for the computation (list of sign sequences per component)
overall_x_powersmathematica_short_codeOverall x powers per component
fk_polynomialmathematica_short_codeFirst terms of the F_K series (Mathematica format)

Schema version: aa1636480dea6070739c67d8d871d8793da3740719d241df1b7061303bae5f1e · Data version: unversioned-synapse

REST API

JSON rows for the current filters: GET https://topology.fyi/api/v1/datasets/fk_links_table_low/rows?raw=1

Schema: /api/v1/datasets/fk_links_table_low/schema

curl "https://topology.fyi/api/v1/datasets/fk_links_table_low/rows?raw=1"

Citation

Please cite this dataset using:

Davide Passaro, Lara San Martín Suárez. "The Gukov-Manolescu Series for Links." In preparation.