This table contains the first few terms (degree 10 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
L10a6{0} 10 {-1,2,-1,2,-1,-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]] x1^(1/2)*x2^(1/2) -q^-1*x2^2-q^-1*x1*x2^2-q^-1*x1^2*x2^2
L10a6{0} 10 {-1,2,-1,2,-1,-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 -q^-1*x2^2-q^-1*x1*x2^2-q^-1*x1^2*x2^2
L10a60{0} 10 {-1,2,2,-1,-3,2,-3,2,2,-1} [[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1], [1, -1, 1, -1, 1, -1]] 1 -x1^2*x2-x1^2*x2^2
L10a60{0} 10 {-1,2,2,-1,-3,2,-3,2,2,-1} [[-1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1], [1, -1, 1, -1, 1, -1]] 1 -x1^2*x2-x1^2*x2^2
L10a60{1} 13 {-2,-3,4,-3,-4,-4,2,-3,-4,1,1,-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, 1, 1, 1]] 1 -q^-1*x1^2-q^-1*x1^2*x2-q^-1*x1^2*x2^2
L10a60{1} 13 {-2,-3,4,-3,-4,-4,2,-3,-4,1,1,-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, 1, -1, 1]] 1 -q^-1*x1^2-q^-1*x1^2*x2-q^-1*x1^2*x2^2
L10a61{0} 11 {1,-2,3,-4,3,1,2,2,3,-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-q*x1^2*x2-q*x1^2*x2^2
L10a61{0} 11 {1,-2,3,-4,3,1,2,2,3,-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-q*x1^2*x2-q*x1^2*x2^2
L10a62{0} 10 {-1,2,-3,2,-3,2,-1,2,2,2} [[1, -1, 1, -1, 1, -1], [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1]] 1 -q*x1*x2^2-2*q*x1^2*x2^2
L10a62{0} 10 {-1,2,-3,2,-3,2,-1,2,2,2} [[-1, -1, 1, -1, 1, -1], [-1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1]] 1 -q*x1*x2^2-2*q*x1^2*x2^2
L10a62{1} 10 {1,-2,1,3,3,-2,1,3,3,3} [[1, 1, -1, 1, -1, 1], [1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1]] 1 -q^2*x1*x2^2-2*q^2*x1^2*x2^2
L10a62{1} 10 {1,-2,1,3,3,-2,1,3,3,3} [[-1, 1, -1, 1, -1, 1], [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1]] 1 -q^2*x1*x2^2-2*q^2*x1^2*x2^2
L10a63{0} 12 {1,-2,-2,3,-2,1,-2,1,-3,-2,-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, -1]] 1 -q^-2*x1*x2^2-2*q^-2*x1^2*x2^2
L10a63{0} 12 {1,-2,-2,3,-2,1,-2,1,-3,-2,-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, -1]] 1 -q^-2*x1*x2^2-2*q^-2*x1^2*x2^2
L10a66{0} 12 {-1,-1,-1,2,-1,-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, 1, -1, 1]] 1 -q^-2*x1*x2^2-q^-2*x1^2*x2^2
L10a66{0} 12 {-1,-1,-1,2,-1,-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, 1, -1, -1]] 1 -q^-2*x1*x2^2-q^-2*x1^2*x2^2
L10a67{0} 12 {1,-2,3,-2,-2,1,-2,-2,-2,-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 -q^-3*x1^2*x2
L10a67{0} 12 {1,-2,3,-2,-2,1,-2,-2,-2,-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 -q^-3*x1^2*x2
L10a68{0} 10 {1,-2,1,3,-2,-2,-2,-2,1,3} [[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*x2-q^-1*x1^2*x2^2
L10a68{0} 10 {1,-2,1,3,-2,-2,-2,-2,1,3} [[-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*x2-q^-1*x1^2*x2^2
L10a69{0} 12 {-1,2,-1,2,2,-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, 1, -1, 1]] 1 -x1*x2^2-x1^2*x2^2
L10a69{0} 12 {-1,2,-1,2,2,-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, 1, -1, -1]] 1 -x1*x2^2-x1^2*x2^2
L10a70{0} 10 {1,-2,3,-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 -q^-1*x1*x2^2-2*q^-1*x1^2*x2^2
L10a70{0} 10 {1,-2,3,-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 -q^-1*x1*x2^2-2*q^-1*x1^2*x2^2
L10a70{1} 10 {-1,2,-1,-3,-3,2,-1,-3,2,-3} [[1, -1, 1, -1, 1, -1], [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1]] 1 -q^-2*x1*x2^2-2*q^-2*x1^2*x2^2
L10a70{1} 10 {-1,2,-1,-3,-3,2,-1,-3,2,-3} [[-1, -1, 1, -1, 1, -1], [-1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1]] 1 -q^-2*x1*x2^2-2*q^-2*x1^2*x2^2
L10a71{0} 10 {1,-2,3,-2,3,-2,1,3,-2,3} [[1, 1, -1, 1, -1, 1], [1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1]] 1 -x1*x2^2-2*x1^2*x2^2
L10a71{0} 10 {1,-2,3,-2,3,-2,1,3,-2,3} [[-1, 1, -1, 1, -1, 1], [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1]] 1 -x1*x2^2-2*x1^2*x2^2
L10a71{1} 10 {-1,2,-1,-3,-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 -q^-1*x1*x2^2-2*q^-1*x1^2*x2^2
L10a71{1} 10 {-1,2,-1,-3,-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 -q^-1*x1*x2^2-2*q^-1*x1^2*x2^2
L10a72{1} 12 {-1,-1,2,-3,2,-1,2,3,2,2,2,-1} [[1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1], [1, -1, 1, -1, 1, -1]] 1 -x1^2*x2-2*x1^2*x2^2
L10a72{1} 12 {-1,-1,2,-3,2,-1,2,3,2,2,2,-1} [[-1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1], [1, -1, 1, -1, 1, -1]] 1 -x1^2*x2-2*x1^2*x2^2
L10a76{0} 10 {-1,2,-1,2,-3,2,-1,2,-1,-3} [[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*x1^2*x2^2
L10a76{0} 10 {-1,2,-1,2,-3,2,-1,2,-1,-3} [[-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*x1^2*x2^2
L10a77{0} 14 {-1,-1,-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, 1, -1, -1]] 1 -q^-3*x2^2
L10a77{0} 14 {-1,-1,-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, 1, -1, -1]] 1 -q^-3*x2^2
L10a77{1} 13 {-2,3,-4,3,-2,3,1,2,-3,-4,2,3,-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, 1]] 1 q^-1*x2^2-x1*x2-x1*x2^2+4*q^-1*x1*x2^2-4*x1^2*x2+q*x1^2*x2^2-4*x1^2*x2^2+10*q^-1*x1^2*x2^2+2*q^-2*x1^2*x2^2
L10a77{1} 13 {-2,3,-4,3,-2,3,1,2,-3,-4,2,3,-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, 1]] 1 q^-1*x2^2-x1*x2-x1*x2^2+4*q^-1*x1*x2^2-4*x1^2*x2+q*x1^2*x2^2-4*x1^2*x2^2+10*q^-1*x1^2*x2^2+2*q^-2*x1^2*x2^2
L10a78{0} 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^-2*x1^2*x2
L10a78{0} 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^-2*x1^2*x2
L10a79{1} 10 {-1,2,-1,-3,2,2,-1,2,2,-3} [[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1], [-1, 1, -1, 1, -1, 1]] 1 -x1^2*x2-x1^2*x2^2
L10a79{1} 10 {-1,2,-1,-3,2,2,-1,2,2,-3} [[-1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1], [-1, 1, -1, 1, -1, 1]] 1 -x1^2*x2-x1^2*x2^2
L10a8{0} 10 {-1,-1,2,-3,2,2,-1,-3,2,2} [[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) -x1^2-x1^2*x2-x1^2*x2^2
L10a8{0} 10 {-1,-1,2,-3,2,2,-1,-3,2,2} [[-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) -x1^2-x1^2*x2-x1^2*x2^2
L10a8{1} 10 {-1,-1,2,-3,2,2,-1,-3,2,2} [[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
L10a8{1} 10 {-1,-1,2,-3,2,2,-1,-3,2,2} [[-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
L10a80{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]] 1 -q*x1^2*x2-q*x1^2*x2^2
L10a80{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]] 1 -q*x1^2*x2-q*x1^2*x2^2
L10a84{0} 10 {1,-2,3,-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, 1]] 1 -q^-1*x1*x2^2-2*q^-1*x1^2*x2^2
L10a84{0} 10 {1,-2,3,-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, -1]] 1 -q^-1*x1*x2^2-2*q^-1*x1^2*x2^2
L10a84{1} 10 {-1,2,-1,-1,-3,2,-1,-3,2,-1} [[1, -1, 1, -1, 1, -1], [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1]] 1 -q^-2*x1*x2^2-2*q^-2*x1^2*x2^2
L10a84{1} 10 {-1,2,-1,-1,-3,2,-1,-3,2,-1} [[-1, -1, 1, -1, 1, -1], [-1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1]] 1 -q^-2*x1*x2^2-2*q^-2*x1^2*x2^2
L10a85{0} 12 {1,-2,-2,1,-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, 1, -1, 1]] 1 -q^-1*x1^2*x2-2*q^-1*x1^2*x2^2
L10a85{0} 12 {1,-2,-2,1,-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, 1, -1, 1]] 1 -q^-1*x1^2*x2-2*q^-1*x1^2*x2^2
L10a86{0} 10 {1,-2,1,3,-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*x2^2-2*x1^2*x2^2
L10a86{0} 10 {1,-2,1,3,-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*x2^2-2*x1^2*x2^2
L10a86{1} 10 {-1,2,-1,-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 -q^-1*x1*x2^2-2*q^-1*x1^2*x2^2
L10a86{1} 10 {-1,2,-1,-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 -q^-1*x1*x2^2-2*q^-1*x1^2*x2^2
L10a88{1} 12 {-1,2,2,3,2,2,2,-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, 1, 1, 1]] x1^(1/2)*x2^(1/2) -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+x1^2*x2^2
L10a88{1} 12 {-1,2,2,3,2,2,2,-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, 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+x1^2*x2^2
L10a89{0} 10 {-1,2,-3,2,-3,2,2,2,-1,2} [[1, -1, 1, -1, 1, -1, 1, -1], [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1]] x1^(1/2)*x2^(1/2) -q*x1*x2-2*q*x1*x2^2-2*q*x1^2*x2+q^2*x1^2*x2^2-4*q*x1^2*x2^2-2*x1^2*x2^2
L10a89{0} 10 {-1,2,-3,2,-3,2,2,2,-1,2} [[-1, -1, 1, -1, 1, -1, 1, -1], [-1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1]] x1^(1/2)*x2^(1/2) -q*x1*x2-2*q*x1*x2^2-2*q*x1^2*x2+q^2*x1^2*x2^2-4*q*x1^2*x2^2-2*x1^2*x2^2
L10a89{1} 11 {-2,-3,4,-3,4,4,1,1,-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]] x1^(1/2)*x2^(1/2) q^2*x1^-1*x2^2-q*x2+2*q^2*x2^2-2*q*x1*x2+5*q^2*x1*x2^2-3*q*x1^2*x2+2*q^3*x1^2*x2^2+8*q^2*x1^2*x2^2
L10a89{1} 11 {-2,-3,4,-3,4,4,1,1,-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]] x1^(1/2)*x2^(1/2) q^2*x1^-1*x2^2-q*x2+2*q^2*x2^2-2*q*x1*x2+5*q^2*x1*x2^2-3*q*x1^2*x2+2*q^3*x1^2*x2^2+8*q^2*x1^2*x2^2
L10a89{1} 11 {-2,-3,4,-3,4,4,1,1,-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 -q*x1-2*q*x1*x2-3*q*x1*x2^2+q^2*x1^2*x2^-1+2*q^2*x1^2+5*q^2*x1^2*x2+2*q^3*x1^2*x2^2+8*q^2*x1^2*x2^2
L10a89{1} 11 {-2,-3,4,-3,4,4,1,1,-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]] x1^(1/2)*x2^(1/2) -q*x1-2*q*x1*x2-3*q*x1*x2^2+q^2*x1^2*x2^-1+2*q^2*x1^2+5*q^2*x1^2*x2+2*q^3*x1^2*x2^2+8*q^2*x1^2*x2^2
L10a9{0} 10 {-1,2,2,-3,2,-1,2,2,2,-3} [[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1], [1, -1, 1, -1]] 1 -q*x1^2-q*x1^2*x2-q*x1^2*x2^2
L10a9{0} 10 {-1,2,2,-3,2,-1,2,2,2,-3} [[-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-q*x1^2*x2-q*x1^2*x2^2
L10a9{1} 10 {-1,2,2,-3,2,-1,2,2,2,-3} [[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1], [1, -1, 1, -1]] 1 -q*x1^2-q*x1^2*x2-q*x1^2*x2^2
L10a9{1} 10 {-1,2,2,-3,2,-1,2,2,2,-3} [[-1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1], [1, -1, 1, -1]] 1 -q*x1^2-q*x1^2*x2-q*x1^2*x2^2
L10a90{0} 12 {1,1,-2,1,-2,-2,3,-2,1,-2,1,-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*x2-2*x1*x2^2-2*x1^2*x2+q*x1^2*x2^2-4*x1^2*x2^2
L10a90{0} 12 {1,1,-2,1,-2,-2,3,-2,1,-2,1,-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) -x1*x2-2*x1*x2^2-2*x1^2*x2+q*x1^2*x2^2-4*x1^2*x2^2
L10a91{0} 11 {-1,2,-3,2,-1,2,-4,3,-4,3,3} [[1, -1, 1, 1, -1, 1, 1, 1, 1, -1], [-1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1]] x1^(1/2)*x2^(1/2) q^-1*x1^-1*x2^2-x2-4*x2^2+2*q^-1*x2^2-2*x1*x2-8*x1*x2^2+q^-1*x1*x2^2-3*x1^2*x2-12*x1^2*x2^2-2*q^-2*x1^2*x2^2
L10a91{0} 11 {-1,2,-3,2,-1,2,-4,3,-4,3,3} [[-1, -1, 1, 1, -1, 1, 1, 1, 1, -1], [-1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1]] x1^(1/2)*x2^(1/2) q^-1*x1^-1*x2^2-x2-4*x2^2+2*q^-1*x2^2-2*x1*x2-8*x1*x2^2+q^-1*x1*x2^2-3*x1^2*x2-12*x1^2*x2^2-2*q^-2*x1^2*x2^2
L10a91{0} 11 {-1,2,-3,2,-1,2,-4,3,-4,3,3} [[1, -1, 1, -1, -1, 1, -1, -1, 1, -1], [-1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1]] x1^(1/2)*x2^(1/2) -x1-2*x1*x2-3*x1*x2^2+q^-1*x1^2*x2^-1-4*x1^2+2*q^-1*x1^2-8*x1^2*x2+q^-1*x1^2*x2-12*x1^2*x2^2-2*q^-2*x1^2*x2^2
L10a91{0} 11 {-1,2,-3,2,-1,2,-4,3,-4,3,3} [[-1, -1, 1, -1, -1, 1, -1, -1, 1, -1], [-1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1]] 1 -x1-2*x1*x2-3*x1*x2^2+q^-1*x1^2*x2^-1-4*x1^2+2*q^-1*x1^2-8*x1^2*x2+q^-1*x1^2*x2-12*x1^2*x2^2-2*q^-2*x1^2*x2^2
L10a91{1} 10 {1,-2,1,-2,3,-2,3,3,-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*x2-2*x1*x2^2-2*x1^2*x2+2*q*x1^2*x2^2-4*x1^2*x2^2+q^-1*x1^2*x2^2
L10a91{1} 10 {1,-2,1,-2,3,-2,3,3,-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*x2-2*x1*x2^2-2*x1^2*x2+2*q*x1^2*x2^2-4*x1^2*x2^2+q^-1*x1^2*x2^2
L10a92{0} 10 {-1,-1,-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, 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
L10a92{0} 10 {-1,-1,-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, 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
L10a92{1} 11 {1,-2,3,4,4,3,1,-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*q*x1*x2-3*q*x1*x2^2+x1^2*x2^-1-3*q*x1^2+2*x1^2+q^2*x1^2*x2-6*q*x1^2*x2+q^3*x1^2*x2^2+2*q^2*x1^2*x2^2-9*q*x1^2*x2^2-2*x1^2*x2^2-4*q^-1*x1^2*x2^2
L10a92{1} 11 {1,-2,3,4,4,3,1,-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*q*x1*x2-3*q*x1*x2^2+x1^2*x2^-1-3*q*x1^2+2*x1^2+q^2*x1^2*x2-6*q*x1^2*x2+q^3*x1^2*x2^2+2*q^2*x1^2*x2^2-9*q*x1^2*x2^2-2*x1^2*x2^2-4*q^-1*x1^2*x2^2
L10a92{1} 11 {1,-2,3,4,4,3,1,-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 x1^-1*x2^2-q*x2-3*q*x2^2+2*x2^2-2*q*x1*x2+q^2*x1*x2^2-6*q*x1*x2^2-3*q*x1^2*x2+q^3*x1^2*x2^2+2*q^2*x1^2*x2^2-9*q*x1^2*x2^2-2*x1^2*x2^2-4*q^-1*x1^2*x2^2
L10a92{1} 11 {1,-2,3,4,4,3,1,-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^-1*x2^2-q*x2-3*q*x2^2+2*x2^2-2*q*x1*x2+q^2*x1*x2^2-6*q*x1*x2^2-3*q*x1^2*x2+q^3*x1^2*x2^2+2*q^2*x1^2*x2^2-9*q*x1^2*x2^2-2*x1^2*x2^2-4*q^-1*x1^2*x2^2
L10a93{0} 12 {1,-2,-2,-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, -1, -1, -1]] x1^(1/2)*x2^(1/2) -q^-2*x1*x2-2*q^-2*x1*x2^2-2*q^-2*x1^2*x2+q^-1*x1^2*x2^2-4*q^-2*x1^2*x2^2
L10a93{0} 12 {1,-2,-2,-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, -1, -1, -1]] x1^(1/2)*x2^(1/2) -q^-2*x1*x2-2*q^-2*x1*x2^2-2*q^-2*x1^2*x2+q^-1*x1^2*x2^2-4*q^-2*x1^2*x2^2
L10a95{0} 13 {-2,-2,3,-2,3,-4,3,-2,3,4,-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, -1, -1, 1]] x1^(1/2)*x2^(1/2) -q^-1*x1-2*q^-1*x1*x2-3*q^-1*x1*x2^2+x1^2*x2^-1+2*x1^2-3*q^-1*x1^2+x1^2*x2-6*q^-1*x1^2*x2+q^-2*x1^2*x2-2*q*x1^2*x2^2-9*q^-1*x1^2*x2^2+2*q^-2*x1^2*x2^2+q^-3*x1^2*x2^2
L10a95{0} 13 {-2,-2,3,-2,3,-4,3,-2,3,4,-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, -1, -1, -1]] x1^(1/2)*x2^(1/2) -q^-1*x1-2*q^-1*x1*x2-3*q^-1*x1*x2^2+x1^2*x2^-1+2*x1^2-3*q^-1*x1^2+x1^2*x2-6*q^-1*x1^2*x2+q^-2*x1^2*x2-2*q*x1^2*x2^2-9*q^-1*x1^2*x2^2+2*q^-2*x1^2*x2^2+q^-3*x1^2*x2^2
L10a95{0} 13 {-2,-2,3,-2,3,-4,3,-2,3,4,-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, -1, -1, 1]] 1 x1^-1*x2^2-q^-1*x2+2*x2^2-3*q^-1*x2^2-2*q^-1*x1*x2+x1*x2^2-6*q^-1*x1*x2^2+q^-2*x1*x2^2-3*q^-1*x1^2*x2-2*q*x1^2*x2^2-9*q^-1*x1^2*x2^2+2*q^-2*x1^2*x2^2+q^-3*x1^2*x2^2
L10a95{0} 13 {-2,-2,3,-2,3,-4,3,-2,3,4,-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, -1, -1, -1]] x1^(1/2)*x2^(1/2) x1^-1*x2^2-q^-1*x2+2*x2^2-3*q^-1*x2^2-2*q^-1*x1*x2+x1*x2^2-6*q^-1*x1*x2^2+q^-2*x1*x2^2-3*q^-1*x1^2*x2-2*q*x1^2*x2^2-9*q^-1*x1^2*x2^2+2*q^-2*x1^2*x2^2+q^-3*x1^2*x2^2
L10a97{0} 12 {1,-2,3,-2,-2,-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, 1, -1, 1]] 1 -q^-3*x1*x2-2*q^-3*x1*x2^2-2*q^-3*x1^2*x2-q^-2*x1^2*x2^2-4*q^-3*x1^2*x2^2
L10a97{0} 12 {1,-2,3,-2,-2,-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, 1, -1, 1]] x1^(1/2)*x2^(1/2) -q^-3*x1*x2-2*q^-3*x1*x2^2-2*q^-3*x1^2*x2-q^-2*x1^2*x2^2-4*q^-3*x1^2*x2^2
L10a99{0} 11 {-2,3,-4,3,-4,3,-2,3,-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 -x1-2*x1*x2-3*x1*x2^2+q*x1^2*x2^-1+2*q*x1^2-x1^2+4*q*x1^2*x2-2*x1^2*x2-q^-1*x1^2*x2+6*q*x1^2*x2^2-3*x1^2*x2^2-2*q^-1*x1^2*x2^2-q^-2*x1^2*x2^2
L10a99{0} 11 {-2,3,-4,3,-4,3,-2,3,-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) -x1-2*x1*x2-3*x1*x2^2+q*x1^2*x2^-1+2*q*x1^2-x1^2+4*q*x1^2*x2-2*x1^2*x2-q^-1*x1^2*x2+6*q*x1^2*x2^2-3*x1^2*x2^2-2*q^-1*x1^2*x2^2-q^-2*x1^2*x2^2
L10a99{0} 11 {-2,3,-4,3,-4,3,-2,3,-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^-1*x2^2-x2+2*q*x2^2-x2^2-2*x1*x2+4*q*x1*x2^2-2*x1*x2^2-q^-1*x1*x2^2-3*x1^2*x2+6*q*x1^2*x2^2-3*x1^2*x2^2-2*q^-1*x1^2*x2^2-q^-2*x1^2*x2^2
L10a99{0} 11 {-2,3,-4,3,-4,3,-2,3,-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^-1*x2^2-x2+2*q*x2^2-x2^2-2*x1*x2+4*q*x1*x2^2-2*x1*x2^2-q^-1*x1*x2^2-3*x1^2*x2+6*q*x1^2*x2^2-3*x1^2*x2^2-2*q^-1*x1^2*x2^2-q^-2*x1^2*x2^2
L10a99{1} 10 {1,-2,1,3,3,3,3,-2,1,3} [[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*x2-2*q^2*x1*x2^2-2*q^2*x1^2*x2+2*q^3*x1^2*x2^2-4*q^2*x1^2*x2^2-3*q*x1^2*x2^2
L10a99{1} 10 {1,-2,1,3,3,3,3,-2,1,3} [[-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*x2-2*q^2*x1*x2^2-2*q^2*x1^2*x2+2*q^3*x1^2*x2^2-4*q^2*x1^2*x2^2-3*q*x1^2*x2^2
L10n1{0} 10 {-1,-2,-1,-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 -q^-2*x2^2
L10n1{0} 10 {-1,-2,-1,-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 -q^-2*x2^2

100 rows shown · 1125 matching rows · Gukov-Manolescu series (F_K) for most nice Links of 10 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_10/rows?raw=1

Schema: /api/v1/datasets/fk_links_table_10/schema

curl "https://topology.fyi/api/v1/datasets/fk_links_table_10/rows?raw=1"

Citation

Please cite this dataset using:

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