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.

Snapshot changed; rerun validation.

knotinfo_id braid_length braid sign_diagram overall_x_powers fk_polynomial
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
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
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
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 -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]] 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
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*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^2*x1+q*x1^2*x2^-1-2*q^2*x1^2+2*q^3*x1^2*x2
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
L8a15{0;0} 14 {1,-2,3,-2,4,-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, -1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -q^-1-2*q^-1*x3-x3^2-3*q^-1*x3^2-2*q^-1*x2-x2*x3-4*q^-1*x2*x3-q^-2*x2*x3-2*q*x2*x3^2-4*x2*x3^2-7*q^-1*x2*x3^2-2*q^-2*x2*x3^2-q^-3*x2*x3^2-x2^2-3*q^-1*x2^2-2*q*x2^2*x3-4*x2^2*x3-7*q^-1*x2^2*x3-2*q^-2*x2^2*x3-q^-3*x2^2*x3-4*q^2*x2^2*x3^2-9*q*x2^2*x3^2-12*x2^2*x3^2-14*q^-1*x2^2*x3^2-6*q^-2*x2^2*x3^2-4*q^-3*x2^2*x3^2-q^-4*x2^2*x3^2-q^-5*x2^2*x3^2-2*q^-1*x1-x1*x3-4*q^-1*x1*x3-q^-2*x1*x3-2*q*x1*x3^2-4*x1*x3^2-7*q^-1*x1*x3^2-2*q^-2*x1*x3^2-q^-3*x1*x3^2-x1*x2-4*q^-1*x1*x2-q^-2*x1*x2-2*q*x1*x2*x3-6*x1*x2*x3-11*q^-1*x1*x2*x3-6*q^-2*x1*x2*x3-q^3*x1*x2*x3^2-5*q^2*x1*x2*x3^2-13*q*x1*x2*x3^2-21*x1*x2*x3^2-25*q^-1*x1*x2*x3^2-14*q^-2*x1*x2*x3^2-5*q^-3*x1*x2*x3^2-2*q*x1*x2^2-4*x1*x2^2-7*q^-1*x1*x2^2-2*q^-2*x1*x2^2-q^-3*x1*x2^2-q^3*x1*x2^2*x3-5*q^2*x1*x2^2*x3-13*q*x1*x2^2*x3-21*x1*x2^2*x3-25*q^-1*x1*x2^2*x3-14*q^-2*x1*x2^2*x3-5*q^-3*x1*x2^2*x3-q^5*x1*x2^2*x3^2-5*q^4*x1*x2^2*x3^2-16*q^3*x1*x2^2*x3^2-33*q^2*x1*x2^2*x3^2-56*q*x1*x2^2*x3^2-70*x1*x2^2*x3^2-70*q^-1*x1*x2^2*x3^2-44*q^-2*x1*x2^2*x3^2-22*q^-3*x1*x2^2*x3^2-5*q^-4*x1*x2^2*x3^2-2*q^-5*x1*x2^2*x3^2-x1^2-3*q^-1*x1^2-2*q*x1^2*x3-4*x1^2*x3-7*q^-1*x1^2*x3-2*q^-2*x1^2*x3-q^-3*x1^2*x3-q^3*x1^2*x3^2-4*q^2*x1^2*x3^2-9*q*x1^2*x3^2-12*x1^2*x3^2-14*q^-1*x1^2*x3^2-6*q^-2*x1^2*x3^2-4*q^-3*x1^2*x3^2-q^-4*x1^2*x3^2-q^-5*x1^2*x3^2-2*q*x1^2*x2-4*x1^2*x2-7*q^-1*x1^2*x2-2*q^-2*x1^2*x2-q^-3*x1^2*x2-q^3*x1^2*x2*x3-5*q^2*x1^2*x2*x3-13*q*x1^2*x2*x3-21*x1^2*x2*x3-25*q^-1*x1^2*x2*x3-14*q^-2*x1^2*x2*x3-5*q^-3*x1^2*x2*x3-2*q^5*x1^2*x2*x3^2-6*q^4*x1^2*x2*x3^2-18*q^3*x1^2*x2*x3^2-35*q^2*x1^2*x2*x3^2-58*q*x1^2*x2*x3^2-70*x1^2*x2*x3^2-70*q^-1*x1^2*x2*x3^2-44*q^-2*x1^2*x2*x3^2-22*q^-3*x1^2*x2*x3^2-5*q^-4*x1^2*x2*x3^2-2*q^-5*x1^2*x2*x3^2-q^3*x1^2*x2^2-4*q^2*x1^2*x2^2-9*q*x1^2*x2^2-12*x1^2*x2^2-14*q^-1*x1^2*x2^2-6*q^-2*x1^2*x2^2-4*q^-3*x1^2*x2^2-q^-4*x1^2*x2^2-q^-5*x1^2*x2^2-2*q^5*x1^2*x2^2*x3-6*q^4*x1^2*x2^2*x3-18*q^3*x1^2*x2^2*x3-35*q^2*x1^2*x2^2*x3-58*q*x1^2*x2^2*x3-70*x1^2*x2^2*x3-70*q^-1*x1^2*x2^2*x3-44*q^-2*x1^2*x2^2*x3-22*q^-3*x1^2*x2^2*x3-5*q^-4*x1^2*x2^2*x3-2*q^-5*x1^2*x2^2*x3-q^8*x1^2*x2^2*x3^2-4*q^7*x1^2*x2^2*x3^2-13*q^6*x1^2*x2^2*x3^2-33*q^5*x1^2*x2^2*x3^2-68*q^4*x1^2*x2^2*x3^2-122*q^3*x1^2*x2^2*x3^2-184*q^2*x1^2*x2^2*x3^2-240*q*x1^2*x2^2*x3^2-260*x1^2*x2^2*x3^2-240*q^-1*x1^2*x2^2*x3^2-166*q^-2*x1^2*x2^2*x3^2-94*q^-3*x1^2*x2^2*x3^2-32*q^-4*x1^2*x2^2*x3^2-12*q^-5*x1^2*x2^2*x3^2
L8a15{0;0} 14 {1,-2,3,-2,4,-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, -1]] x1^(1/2)*x2^(1/2)*x3^(1/2) -q^-1-2*q^-1*x3-x3^2-3*q^-1*x3^2-2*q^-1*x2-x2*x3-4*q^-1*x2*x3-q^-2*x2*x3-2*q*x2*x3^2-4*x2*x3^2-7*q^-1*x2*x3^2-2*q^-2*x2*x3^2-q^-3*x2*x3^2-x2^2-3*q^-1*x2^2-2*q*x2^2*x3-4*x2^2*x3-7*q^-1*x2^2*x3-2*q^-2*x2^2*x3-q^-3*x2^2*x3-4*q^2*x2^2*x3^2-9*q*x2^2*x3^2-11*x2^2*x3^2-13*q^-1*x2^2*x3^2-5*q^-2*x2^2*x3^2-4*q^-3*x2^2*x3^2-q^-4*x2^2*x3^2-q^-5*x2^2*x3^2-2*q^-1*x1-x1*x3-4*q^-1*x1*x3-q^-2*x1*x3-2*q*x1*x3^2-4*x1*x3^2-7*q^-1*x1*x3^2-2*q^-2*x1*x3^2-q^-3*x1*x3^2-x1*x2-4*q^-1*x1*x2-q^-2*x1*x2-2*q*x1*x2*x3-6*x1*x2*x3-11*q^-1*x1*x2*x3-6*q^-2*x1*x2*x3-q^3*x1*x2*x3^2-5*q^2*x1*x2*x3^2-13*q*x1*x2*x3^2-21*x1*x2*x3^2-25*q^-1*x1*x2*x3^2-14*q^-2*x1*x2*x3^2-5*q^-3*x1*x2*x3^2-2*q*x1*x2^2-4*x1*x2^2-7*q^-1*x1*x2^2-2*q^-2*x1*x2^2-q^-3*x1*x2^2-q^3*x1*x2^2*x3-5*q^2*x1*x2^2*x3-13*q*x1*x2^2*x3-21*x1*x2^2*x3-25*q^-1*x1*x2^2*x3-14*q^-2*x1*x2^2*x3-5*q^-3*x1*x2^2*x3-2*q^5*x1*x2^2*x3^2-4*q^4*x1*x2^2*x3^2-12*q^3*x1*x2^2*x3^2-30*q^2*x1*x2^2*x3^2-56*q*x1*x2^2*x3^2-68*x1*x2^2*x3^2-65*q^-1*x1*x2^2*x3^2-38*q^-2*x1*x2^2*x3^2-20*q^-3*x1*x2^2*x3^2-5*q^-4*x1*x2^2*x3^2-2*q^-5*x1*x2^2*x3^2-x1^2-3*q^-1*x1^2-2*q*x1^2*x3-4*x1^2*x3-7*q^-1*x1^2*x3-2*q^-2*x1^2*x3-q^-3*x1^2*x3-q^3*x1^2*x3^2-4*q^2*x1^2*x3^2-9*q*x1^2*x3^2-12*x1^2*x3^2-14*q^-1*x1^2*x3^2-6*q^-2*x1^2*x3^2-4*q^-3*x1^2*x3^2-q^-4*x1^2*x3^2-q^-5*x1^2*x3^2-2*q*x1^2*x2-4*x1^2*x2-7*q^-1*x1^2*x2-2*q^-2*x1^2*x2-q^-3*x1^2*x2-q^3*x1^2*x2*x3-5*q^2*x1^2*x2*x3-13*q*x1^2*x2*x3-21*x1^2*x2*x3-25*q^-1*x1^2*x2*x3-14*q^-2*x1^2*x2*x3-5*q^-3*x1^2*x2*x3-2*q^5*x1^2*x2*x3^2-6*q^4*x1^2*x2*x3^2-18*q^3*x1^2*x2*x3^2-35*q^2*x1^2*x2*x3^2-58*q*x1^2*x2*x3^2-70*x1^2*x2*x3^2-70*q^-1*x1^2*x2*x3^2-44*q^-2*x1^2*x2*x3^2-22*q^-3*x1^2*x2*x3^2-5*q^-4*x1^2*x2*x3^2-2*q^-5*x1^2*x2*x3^2-q^3*x1^2*x2^2-4*q^2*x1^2*x2^2-9*q*x1^2*x2^2-12*x1^2*x2^2-14*q^-1*x1^2*x2^2-6*q^-2*x1^2*x2^2-4*q^-3*x1^2*x2^2-q^-4*x1^2*x2^2-q^-5*x1^2*x2^2-2*q^5*x1^2*x2^2*x3-6*q^4*x1^2*x2^2*x3-18*q^3*x1^2*x2^2*x3-35*q^2*x1^2*x2^2*x3-58*q*x1^2*x2^2*x3-70*x1^2*x2^2*x3-70*q^-1*x1^2*x2^2*x3-44*q^-2*x1^2*x2^2*x3-22*q^-3*x1^2*x2^2*x3-5*q^-4*x1^2*x2^2*x3-2*q^-5*x1^2*x2^2*x3-4*q^7*x1^2*x2^2*x3^2-16*q^6*x1^2*x2^2*x3^2-38*q^5*x1^2*x2^2*x3^2-66*q^4*x1^2*x2^2*x3^2-105*q^3*x1^2*x2^2*x3^2-163*q^2*x1^2*x2^2*x3^2-225*q*x1^2*x2^2*x3^2-250*x1^2*x2^2*x3^2-224*q^-1*x1^2*x2^2*x3^2-143*q^-2*x1^2*x2^2*x3^2-79*q^-3*x1^2*x2^2*x3^2-28*q^-4*x1^2*x2^2*x3^2-11*q^-5*x1^2*x2^2*x3^2
L8a16{0;0} 8 {-1,2,-1,2,-1,2,2,2} [[1, -1, 1, -1], [-1, 1, -1, 1, -1, 1], [1, -1, 1, -1, 1, -1]] x1^(1/2) -q*x2*x3-q*x2*x3^2-q*x2^2*x3+q^2*x2^2*x3^2-q*x2^2*x3^2-q*x1*x2*x3-q*x1*x2*x3^2-q*x1*x2^2*x3+q^2*x1*x2^2*x3^2-2*q*x1*x2^2*x3^2+q^-1*x1*x2^2*x3^2-q*x1^2*x2*x3-q*x1^2*x2*x3^2-q*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3^2+q^-1*x1^2*x2^2*x3^2+q^-2*x1^2*x2^2*x3^2
L8a16{0;0} 8 {-1,2,-1,2,-1,2,2,2} [[-1, -1, 1, -1], [-1, -1, -1, 1, -1, 1], [1, -1, -1, -1, 1, -1]] x1^(1/2) -q*x2*x3-q*x2*x3^2-q*x2^2*x3+q^2*x2^2*x3^2-q*x2^2*x3^2-q*x1*x2*x3-q*x1*x2*x3^2-q*x1*x2^2*x3+q^2*x1*x2^2*x3^2-2*q*x1*x2^2*x3^2+q^-1*x1*x2^2*x3^2-q*x1^2*x2*x3-q*x1^2*x2*x3^2-q*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3^2+q^-1*x1^2*x2^2*x3^2+q^-2*x1^2*x2^2*x3^2
L8a16{0;1} 9 {-2,3,1,-2,-3,-3,1,-2,1} [[1, 1, -1, -1, -1, 1], [1, -1, 1, 1, 1, -1, 1, 1], [-1, 1, 1, 1]] x3^(1/2) q*x1^-1*x2^2+q*x1^-1*x2^2*x3+q*x1^-1*x2^2*x3^2-x2-x2*x3-x2*x3^2+q*x2^2-x2^2+2*q*x2^2*x3-x2^2*x3-q^-1*x2^2*x3+q^2*x2^2*x3^2+2*q*x2^2*x3^2-x2^2*x3^2-q^-1*x2^2*x3^2-q^-2*x2^2*x3^2-x1*x2-x1*x2*x3-x1*x2*x3^2+q*x1*x2^2-x1*x2^2+q^2*x1*x2^2*x3+2*q*x1*x2^2*x3-2*x1*x2^2*x3-q^-1*x1*x2^2*x3+q^3*x1*x2^2*x3^2+2*q^2*x1*x2^2*x3^2+2*q*x1*x2^2*x3^2-2*x1*x2^2*x3^2-2*q^-1*x1*x2^2*x3^2-q^-2*x1*x2^2*x3^2-x1^2*x2-x1^2*x2*x3-x1^2*x2*x3^2+q*x1^2*x2^2-x1^2*x2^2+q^3*x1^2*x2^2*x3+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+q^4*x1^2*x2^2*x3^2+2*q^3*x1^2*x2^2*x3^2+2*q^2*x1^2*x2^2*x3^2+q*x1^2*x2^2*x3^2-3*x1^2*x2^2*x3^2-2*q^-1*x1^2*x2^2*x3^2-q^-2*x1^2*x2^2*x3^2
L8a16{0;1} 9 {-2,3,1,-2,-3,-3,1,-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*x1^-1*x2^2*x3+q*x1^-1*x2^2*x3^2-x2-x2*x3-x2*x3^2+q*x2^2-x2^2+2*q*x2^2*x3-x2^2*x3-q^-1*x2^2*x3+q^2*x2^2*x3^2+2*q*x2^2*x3^2-x2^2*x3^2-q^-1*x2^2*x3^2-q^-2*x2^2*x3^2-x1*x2-x1*x2*x3-x1*x2*x3^2+q*x1*x2^2-x1*x2^2+q^2*x1*x2^2*x3+2*q*x1*x2^2*x3-2*x1*x2^2*x3-q^-1*x1*x2^2*x3+q^3*x1*x2^2*x3^2+2*q^2*x1*x2^2*x3^2+2*q*x1*x2^2*x3^2-2*x1*x2^2*x3^2-2*q^-1*x1*x2^2*x3^2-q^-2*x1*x2^2*x3^2-x1^2*x2-x1^2*x2*x3-x1^2*x2*x3^2+q*x1^2*x2^2-x1^2*x2^2+q^3*x1^2*x2^2*x3+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+q^4*x1^2*x2^2*x3^2+2*q^3*x1^2*x2^2*x3^2+2*q^2*x1^2*x2^2*x3^2+q*x1^2*x2^2*x3^2-3*x1^2*x2^2*x3^2-2*q^-1*x1^2*x2^2*x3^2-q^-2*x1^2*x2^2*x3^2
L8a16{0;1} 9 {-2,3,1,-2,-3,-3,1,-2,1} [[1, 1, -1, -1, -1, 1], [1, -1, -1, -1, -1, -1, 1, 1], [-1, 1, 1, 1]] x3^(1/2) -x1-x1*x3-x1*x3^2-x1*x2-x1*x2*x3-x1*x2*x3^2-x1*x2^2-x1*x2^2*x3-x1*x2^2*x3^2+q*x1^2*x2^-1+q*x1^2*x2^-1*x3+q*x1^2*x2^-1*x3^2+q*x1^2-x1^2+2*q*x1^2*x3-x1^2*x3-q^-1*x1^2*x3+q^2*x1^2*x3^2+2*q*x1^2*x3^2-x1^2*x3^2-q^-1*x1^2*x3^2-q^-2*x1^2*x3^2+q*x1^2*x2-x1^2*x2+q^2*x1^2*x2*x3+2*q*x1^2*x2*x3-2*x1^2*x2*x3-q^-1*x1^2*x2*x3+q^3*x1^2*x2*x3^2+2*q^2*x1^2*x2*x3^2+2*q*x1^2*x2*x3^2-2*x1^2*x2*x3^2-2*q^-1*x1^2*x2*x3^2-q^-2*x1^2*x2*x3^2+q*x1^2*x2^2-x1^2*x2^2+q^3*x1^2*x2^2*x3+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+q^4*x1^2*x2^2*x3^2+2*q^3*x1^2*x2^2*x3^2+2*q^2*x1^2*x2^2*x3^2+q*x1^2*x2^2*x3^2-3*x1^2*x2^2*x3^2-2*q^-1*x1^2*x2^2*x3^2-q^-2*x1^2*x2^2*x3^2
L8a16{0;1} 9 {-2,3,1,-2,-3,-3,1,-2,1} [[-1, 1, -1, -1, -1, 1], [1, -1, -1, -1, -1, -1, 1, -1], [-1, 1, -1, 1]] x3^(1/2) -x1-x1*x3-x1*x3^2-x1*x2-x1*x2*x3-x1*x2*x3^2-x1*x2^2-x1*x2^2*x3-x1*x2^2*x3^2+q*x1^2*x2^-1+q*x1^2*x2^-1*x3+q*x1^2*x2^-1*x3^2+q*x1^2-x1^2+2*q*x1^2*x3-x1^2*x3-q^-1*x1^2*x3+q^2*x1^2*x3^2+2*q*x1^2*x3^2-x1^2*x3^2-q^-1*x1^2*x3^2-q^-2*x1^2*x3^2+q*x1^2*x2-x1^2*x2+q^2*x1^2*x2*x3+2*q*x1^2*x2*x3-2*x1^2*x2*x3-q^-1*x1^2*x2*x3+q^3*x1^2*x2*x3^2+2*q^2*x1^2*x2*x3^2+2*q*x1^2*x2*x3^2-2*x1^2*x2*x3^2-2*q^-1*x1^2*x2*x3^2-q^-2*x1^2*x2*x3^2+q*x1^2*x2^2-x1^2*x2^2+q^3*x1^2*x2^2*x3+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+q^4*x1^2*x2^2*x3^2+2*q^3*x1^2*x2^2*x3^2+2*q^2*x1^2*x2^2*x3^2+q*x1^2*x2^2*x3^2-3*x1^2*x2^2*x3^2-2*q^-1*x1^2*x2^2*x3^2-q^-2*x1^2*x2^2*x3^2
L8a16{1;0} 9 {-2,3,1,-2,-3,-3,1,-2,1} [[1, 1, -1, -1, -1, 1], [1, -1, 1, 1, 1, -1, 1, 1], [-1, 1, 1, 1]] x3^(1/2) q*x1^-1*x2^2+q*x1^-1*x2^2*x3+q*x1^-1*x2^2*x3^2-x2-x2*x3-x2*x3^2+q*x2^2-x2^2+2*q*x2^2*x3-x2^2*x3-q^-1*x2^2*x3+q^2*x2^2*x3^2+2*q*x2^2*x3^2-x2^2*x3^2-q^-1*x2^2*x3^2-q^-2*x2^2*x3^2-x1*x2-x1*x2*x3-x1*x2*x3^2+q*x1*x2^2-x1*x2^2+q^2*x1*x2^2*x3+2*q*x1*x2^2*x3-2*x1*x2^2*x3-q^-1*x1*x2^2*x3+q^3*x1*x2^2*x3^2+2*q^2*x1*x2^2*x3^2+2*q*x1*x2^2*x3^2-2*x1*x2^2*x3^2-2*q^-1*x1*x2^2*x3^2-q^-2*x1*x2^2*x3^2-x1^2*x2-x1^2*x2*x3-x1^2*x2*x3^2+q*x1^2*x2^2-x1^2*x2^2+q^3*x1^2*x2^2*x3+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+q^4*x1^2*x2^2*x3^2+2*q^3*x1^2*x2^2*x3^2+2*q^2*x1^2*x2^2*x3^2+q*x1^2*x2^2*x3^2-3*x1^2*x2^2*x3^2-2*q^-1*x1^2*x2^2*x3^2-q^-2*x1^2*x2^2*x3^2
L8a16{1;0} 9 {-2,3,1,-2,-3,-3,1,-2,1} [[-1, 1, -1, -1, -1, 1], [1, -1, 1, 1, 1, -1, 1, -1], [-1, 1, -1, 1]] x3^(1/2) q*x1^-1*x2^2+q*x1^-1*x2^2*x3+q*x1^-1*x2^2*x3^2-x2-x2*x3-x2*x3^2+q*x2^2-x2^2+2*q*x2^2*x3-x2^2*x3-q^-1*x2^2*x3+q^2*x2^2*x3^2+2*q*x2^2*x3^2-x2^2*x3^2-q^-1*x2^2*x3^2-q^-2*x2^2*x3^2-x1*x2-x1*x2*x3-x1*x2*x3^2+q*x1*x2^2-x1*x2^2+q^2*x1*x2^2*x3+2*q*x1*x2^2*x3-2*x1*x2^2*x3-q^-1*x1*x2^2*x3+q^3*x1*x2^2*x3^2+2*q^2*x1*x2^2*x3^2+2*q*x1*x2^2*x3^2-2*x1*x2^2*x3^2-2*q^-1*x1*x2^2*x3^2-q^-2*x1*x2^2*x3^2-x1^2*x2-x1^2*x2*x3-x1^2*x2*x3^2+q*x1^2*x2^2-x1^2*x2^2+q^3*x1^2*x2^2*x3+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+q^4*x1^2*x2^2*x3^2+2*q^3*x1^2*x2^2*x3^2+2*q^2*x1^2*x2^2*x3^2+q*x1^2*x2^2*x3^2-3*x1^2*x2^2*x3^2-2*q^-1*x1^2*x2^2*x3^2-q^-2*x1^2*x2^2*x3^2
L8a16{1;0} 9 {-2,3,1,-2,-3,-3,1,-2,1} [[1, 1, -1, -1, -1, 1], [1, -1, -1, -1, -1, -1, 1, 1], [-1, 1, 1, 1]] x3^(1/2) -x1-x1*x3-x1*x3^2-x1*x2-x1*x2*x3-x1*x2*x3^2-x1*x2^2-x1*x2^2*x3-x1*x2^2*x3^2+q*x1^2*x2^-1+q*x1^2*x2^-1*x3+q*x1^2*x2^-1*x3^2+q*x1^2-x1^2+2*q*x1^2*x3-x1^2*x3-q^-1*x1^2*x3+q^2*x1^2*x3^2+2*q*x1^2*x3^2-x1^2*x3^2-q^-1*x1^2*x3^2-q^-2*x1^2*x3^2+q*x1^2*x2-x1^2*x2+q^2*x1^2*x2*x3+2*q*x1^2*x2*x3-2*x1^2*x2*x3-q^-1*x1^2*x2*x3+q^3*x1^2*x2*x3^2+2*q^2*x1^2*x2*x3^2+2*q*x1^2*x2*x3^2-2*x1^2*x2*x3^2-2*q^-1*x1^2*x2*x3^2-q^-2*x1^2*x2*x3^2+q*x1^2*x2^2-x1^2*x2^2+q^3*x1^2*x2^2*x3+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+q^4*x1^2*x2^2*x3^2+2*q^3*x1^2*x2^2*x3^2+2*q^2*x1^2*x2^2*x3^2+q*x1^2*x2^2*x3^2-3*x1^2*x2^2*x3^2-2*q^-1*x1^2*x2^2*x3^2-q^-2*x1^2*x2^2*x3^2
L8a16{1;0} 9 {-2,3,1,-2,-3,-3,1,-2,1} [[-1, 1, -1, -1, -1, 1], [1, -1, -1, -1, -1, -1, 1, -1], [-1, 1, -1, 1]] x3^(1/2) -x1-x1*x3-x1*x3^2-x1*x2-x1*x2*x3-x1*x2*x3^2-x1*x2^2-x1*x2^2*x3-x1*x2^2*x3^2+q*x1^2*x2^-1+q*x1^2*x2^-1*x3+q*x1^2*x2^-1*x3^2+q*x1^2-x1^2+2*q*x1^2*x3-x1^2*x3-q^-1*x1^2*x3+q^2*x1^2*x3^2+2*q*x1^2*x3^2-x1^2*x3^2-q^-1*x1^2*x3^2-q^-2*x1^2*x3^2+q*x1^2*x2-x1^2*x2+q^2*x1^2*x2*x3+2*q*x1^2*x2*x3-2*x1^2*x2*x3-q^-1*x1^2*x2*x3+q^3*x1^2*x2*x3^2+2*q^2*x1^2*x2*x3^2+2*q*x1^2*x2*x3^2-2*x1^2*x2*x3^2-2*q^-1*x1^2*x2*x3^2-q^-2*x1^2*x2*x3^2+q*x1^2*x2^2-x1^2*x2^2+q^3*x1^2*x2^2*x3+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+q^4*x1^2*x2^2*x3^2+2*q^3*x1^2*x2^2*x3^2+2*q^2*x1^2*x2^2*x3^2+q*x1^2*x2^2*x3^2-3*x1^2*x2^2*x3^2-2*q^-1*x1^2*x2^2*x3^2-q^-2*x1^2*x2^2*x3^2
L8a16{1;1} 8 {-1,2,-1,2,-1,2,2,2} [[1, -1, 1, -1], [-1, 1, -1, 1, -1, 1], [1, -1, 1, -1, 1, -1]] x1^(1/2) -q*x2*x3-q*x2*x3^2-q*x2^2*x3+q^2*x2^2*x3^2-q*x2^2*x3^2-q*x1*x2*x3-q*x1*x2*x3^2-q*x1*x2^2*x3+q^2*x1*x2^2*x3^2-2*q*x1*x2^2*x3^2+q^-1*x1*x2^2*x3^2-q*x1^2*x2*x3-q*x1^2*x2*x3^2-q*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3^2+q^-1*x1^2*x2^2*x3^2+q^-2*x1^2*x2^2*x3^2
L8a16{1;1} 8 {-1,2,-1,2,-1,2,2,2} [[-1, -1, 1, -1], [-1, -1, -1, 1, -1, 1], [1, -1, -1, -1, 1, -1]] x1^(1/2) -q*x2*x3-q*x2*x3^2-q*x2^2*x3+q^2*x2^2*x3^2-q*x2^2*x3^2-q*x1*x2*x3-q*x1*x2*x3^2-q*x1*x2^2*x3+q^2*x1*x2^2*x3^2-2*q*x1*x2^2*x3^2+q^-1*x1*x2^2*x3^2-q*x1^2*x2*x3-q*x1^2*x2*x3^2-q*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3^2+q^-1*x1^2*x2^2*x3^2+q^-2*x1^2*x2^2*x3^2
L8a17{0;0} 9 {-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]] x1^(1/2) q^-1*x2^-1*x3^2-q^-2*x3-2*q^-2*x3^2+q^-3*x2*x3^2-q*x1*x2^-2*x3^2-x1*x2^-2*x3^2+q^-1*x1*x2^-1*x3+x1*x2^-1*x3^2+3*q^-1*x1*x2^-1*x3^2+q^-2*x1*x2^-1*x3^2-q^-2*x1*x3-3*q^-2*x1*x3^2-q^-3*x1*x3^2+q^-3*x1*x2*x3^2+q^4*x1^2*x2^-3*x3^2+q^3*x1^2*x2^-3*x3^2+q^2*x1^2*x2^-3*x3^2-q*x1^2*x2^-2*x3-q^3*x1^2*x2^-2*x3^2-2*q^2*x1^2*x2^-2*x3^2-4*q*x1^2*x2^-2*x3^2-2*x1^2*x2^-2*x3^2-q^-1*x1^2*x2^-2*x3^2+x1^2*x2^-1*x3+q^-1*x1^2*x2^-1*x3+q*x1^2*x2^-1*x3^2+4*x1^2*x2^-1*x3^2+4*q^-1*x1^2*x2^-1*x3^2+2*q^-2*x1^2*x2^-1*x3^2+q^-3*x1^2*x2^-1*x3^2-q^-2*x1^2*x3-q^-1*x1^2*x3^2-3*q^-2*x1^2*x3^2-q^-3*x1^2*x3^2-q^-4*x1^2*x3^2+q^-3*x1^2*x2*x3^2
L8a17{0;0} 9 {-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]] x1^(1/2) q^-1*x2^-1*x3^2-q^-2*x3-2*q^-2*x3^2+q^-3*x2*x3^2-q*x1*x2^-2*x3^2-x1*x2^-2*x3^2+q^-1*x1*x2^-1*x3+x1*x2^-1*x3^2+3*q^-1*x1*x2^-1*x3^2+q^-2*x1*x2^-1*x3^2-q^-2*x1*x3-3*q^-2*x1*x3^2-q^-3*x1*x3^2+q^-3*x1*x2*x3^2+q^4*x1^2*x2^-3*x3^2+q^3*x1^2*x2^-3*x3^2+q^2*x1^2*x2^-3*x3^2-q*x1^2*x2^-2*x3-q^3*x1^2*x2^-2*x3^2-2*q^2*x1^2*x2^-2*x3^2-4*q*x1^2*x2^-2*x3^2-2*x1^2*x2^-2*x3^2-q^-1*x1^2*x2^-2*x3^2+x1^2*x2^-1*x3+q^-1*x1^2*x2^-1*x3+q*x1^2*x2^-1*x3^2+4*x1^2*x2^-1*x3^2+4*q^-1*x1^2*x2^-1*x3^2+2*q^-2*x1^2*x2^-1*x3^2+q^-3*x1^2*x2^-1*x3^2-q^-2*x1^2*x3-q^-1*x1^2*x3^2-3*q^-2*x1^2*x3^2-q^-3*x1^2*x3^2-q^-4*x1^2*x3^2+q^-3*x1^2*x2*x3^2
L8a17{0;0} 9 {-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]] x1^(1/2) -q^-2*x2+q^-1*x2^2*x3^-1-2*q^-2*x2^2+q^-3*x2^2*x3+q^-1*x1*x2*x3^-1-q^-2*x1*x2-q*x1*x2^2*x3^-2-x1*x2^2*x3^-2+x1*x2^2*x3^-1+3*q^-1*x1*x2^2*x3^-1+q^-2*x1*x2^2*x3^-1-3*q^-2*x1*x2^2-q^-3*x1*x2^2+q^-3*x1*x2^2*x3-q*x1^2*x2*x3^-2+x1^2*x2*x3^-1+q^-1*x1^2*x2*x3^-1-q^-2*x1^2*x2+q^4*x1^2*x2^2*x3^-3+q^3*x1^2*x2^2*x3^-3+q^2*x1^2*x2^2*x3^-3-q^3*x1^2*x2^2*x3^-2-2*q^2*x1^2*x2^2*x3^-2-4*q*x1^2*x2^2*x3^-2-2*x1^2*x2^2*x3^-2-q^-1*x1^2*x2^2*x3^-2+q*x1^2*x2^2*x3^-1+4*x1^2*x2^2*x3^-1+4*q^-1*x1^2*x2^2*x3^-1+2*q^-2*x1^2*x2^2*x3^-1+q^-3*x1^2*x2^2*x3^-1-q^-1*x1^2*x2^2-3*q^-2*x1^2*x2^2-q^-3*x1^2*x2^2-q^-4*x1^2*x2^2+q^-3*x1^2*x2^2*x3
L8a17{0;0} 9 {-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]] x1^(1/2) -q^-2*x2+q^-1*x2^2*x3^-1-2*q^-2*x2^2+q^-3*x2^2*x3+q^-1*x1*x2*x3^-1-q^-2*x1*x2-q*x1*x2^2*x3^-2-x1*x2^2*x3^-2+x1*x2^2*x3^-1+3*q^-1*x1*x2^2*x3^-1+q^-2*x1*x2^2*x3^-1-3*q^-2*x1*x2^2-q^-3*x1*x2^2+q^-3*x1*x2^2*x3-q*x1^2*x2*x3^-2+x1^2*x2*x3^-1+q^-1*x1^2*x2*x3^-1-q^-2*x1^2*x2+q^4*x1^2*x2^2*x3^-3+q^3*x1^2*x2^2*x3^-3+q^2*x1^2*x2^2*x3^-3-q^3*x1^2*x2^2*x3^-2-2*q^2*x1^2*x2^2*x3^-2-4*q*x1^2*x2^2*x3^-2-2*x1^2*x2^2*x3^-2-q^-1*x1^2*x2^2*x3^-2+q*x1^2*x2^2*x3^-1+4*x1^2*x2^2*x3^-1+4*q^-1*x1^2*x2^2*x3^-1+2*q^-2*x1^2*x2^2*x3^-1+q^-3*x1^2*x2^2*x3^-1-q^-1*x1^2*x2^2-3*q^-2*x1^2*x2^2-q^-3*x1^2*x2^2-q^-4*x1^2*x2^2+q^-3*x1^2*x2^2*x3
L8a17{0;0} 9 {-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]] x1^(1/2) -q*x1^-3*x2^2*x3^2-x1^-3*x2^2*x3^2+q^-1*x1^-2*x2*x3^2+q^-1*x1^-2*x2^2*x3+2*q^-1*x1^-2*x2^2*x3^2-q^-2*x1^-1*x2*x3-q^-2*x1^-1*x2*x3^2-q^-2*x1^-1*x2^2*x3-q^-2*x1^-1*x2^2*x3^2+q^-3*x1^-1*x2^2*x3^2
L8a17{0;0} 9 {-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]] x1^(1/2) -q*x1^-3*x2^2*x3^2-x1^-3*x2^2*x3^2+q^-1*x1^-2*x2*x3^2+q^-1*x1^-2*x2^2*x3+2*q^-1*x1^-2*x2^2*x3^2-q^-2*x1^-1*x2*x3-q^-2*x1^-1*x2*x3^2-q^-2*x1^-1*x2^2*x3-q^-2*x1^-1*x2^2*x3^2+q^-3*x1^-1*x2^2*x3^2
L8a17{0;1} 9 {2,-3,2,2,-3,2,1,-2,1} [[1, 1, 1, 1, 1, 1, 1, 1], [1, 1, -1, 1, 1, 1], [-1, 1, 1, 1]] x3^(1/2) x1^-1*x2^2+x1^-1*x2^2*x3+x1^-1*x2^2*x3^2-q*x2-q*x2*x3-q*x2*x3^2-2*q*x2^2-3*q*x2^2*x3-x2^2*x3-q^2*x2^2*x3^2-3*q*x2^2*x3^2-x2^2*x3^2-q^-1*x2^2*x3^2+q^2*x1*x2*x3+q^3*x1*x2*x3^2+q^2*x1*x2*x3^2+q^2*x1*x2^2+q^3*x1*x2^2*x3+3*q^2*x1*x2^2*x3+q*x1*x2^2*x3+q^4*x1*x2^2*x3^2+4*q^3*x1*x2^2*x3^2+4*q^2*x1*x2^2*x3^2+2*q*x1*x2^2*x3^2+x1*x2^2*x3^2-q^4*x1^2*x2*x3^2-q^4*x1^2*x2^2*x3-q^3*x1^2*x2^2*x3-q^6*x1^2*x2^2*x3^2-2*q^5*x1^2*x2^2*x3^2-4*q^4*x1^2*x2^2*x3^2-2*q^3*x1^2*x2^2*x3^2-q^2*x1^2*x2^2*x3^2
L8a17{0;1} 9 {2,-3,2,2,-3,2,1,-2,1} [[-1, 1, 1, 1, 1, 1, 1, 1], [1, 1, -1, 1, 1, -1], [-1, 1, 1, 1]] x3^(1/2) x1^-1*x2^2+x1^-1*x2^2*x3+x1^-1*x2^2*x3^2-q*x2-q*x2*x3-q*x2*x3^2-2*q*x2^2-3*q*x2^2*x3-x2^2*x3-q^2*x2^2*x3^2-3*q*x2^2*x3^2-x2^2*x3^2-q^-1*x2^2*x3^2+q^2*x1*x2*x3+q^3*x1*x2*x3^2+q^2*x1*x2*x3^2+q^2*x1*x2^2+q^3*x1*x2^2*x3+3*q^2*x1*x2^2*x3+q*x1*x2^2*x3+q^4*x1*x2^2*x3^2+4*q^3*x1*x2^2*x3^2+4*q^2*x1*x2^2*x3^2+2*q*x1*x2^2*x3^2+x1*x2^2*x3^2-q^4*x1^2*x2*x3^2-q^4*x1^2*x2^2*x3-q^3*x1^2*x2^2*x3-q^6*x1^2*x2^2*x3^2-2*q^5*x1^2*x2^2*x3^2-4*q^4*x1^2*x2^2*x3^2-2*q^3*x1^2*x2^2*x3^2-q^2*x1^2*x2^2*x3^2
L8a17{0;1} 9 {2,-3,2,2,-3,2,1,-2,1} [[1, 1, -1, -1, 1, -1, -1, 1], [1, 1, -1, 1, 1, 1], [-1, 1, -1, 1]] x3^(1/2) -q*x1-q*x1*x3-q*x1*x3^2-q*x1*x2-q*x1*x2*x3-x1*x2*x3-q*x1*x2*x3^2-x1*x2*x3^2-q^-1*x1*x2*x3^2-q*x1*x2^2-q*x1*x2^2*x3-x1*x2^2*x3-q^-1*x1*x2^2*x3-q*x1*x2^2*x3^2-x1*x2^2*x3^2-2*q^-1*x1*x2^2*x3^2-q^-2*x1*x2^2*x3^2-q^-3*x1*x2^2*x3^2+x1^2*x2^-1+x1^2*x2^-1*x3+x1^2*x2^-1*x3^2-q*x1^2+x1^2+q^2*x1^2*x3-q*x1^2*x3+x1^2*x3+q^-1*x1^2*x3+q^3*x1^2*x3^2+q^2*x1^2*x3^2-q*x1^2*x3^2+x1^2*x3^2+q^-1*x1^2*x3^2+q^-2*x1^2*x3^2-q*x1^2*x2+x1^2*x2+q^2*x1^2*x2*x3-q*x1^2*x2*x3+q^-1*x1^2*x2*x3+q^-2*x1^2*x2*x3+q^3*x1^2*x2*x3^2+2*q^2*x1^2*x2*x3^2+2*q^-2*x1^2*x2*x3^2+q^-3*x1^2*x2*x3^2+q^-4*x1^2*x2*x3^2-q*x1^2*x2^2+x1^2*x2^2+q^2*x1^2*x2^2*x3-q*x1^2*x2^2*x3+q^-2*x1^2*x2^2*x3+q^-3*x1^2*x2^2*x3+q^3*x1^2*x2^2*x3^2+2*q^2*x1^2*x2^2*x3^2+q*x1^2*x2^2*x3^2+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+2*q^-4*x1^2*x2^2*x3^2+q^-5*x1^2*x2^2*x3^2+q^-6*x1^2*x2^2*x3^2
L8a17{0;1} 9 {2,-3,2,2,-3,2,1,-2,1} [[-1, 1, -1, -1, 1, -1, -1, 1], [1, 1, -1, 1, 1, -1], [-1, 1, -1, 1]] x3^(1/2) -q*x1-q*x1*x3-q*x1*x3^2-q*x1*x2-q*x1*x2*x3-x1*x2*x3-q*x1*x2*x3^2-x1*x2*x3^2-q^-1*x1*x2*x3^2-q*x1*x2^2-q*x1*x2^2*x3-x1*x2^2*x3-q^-1*x1*x2^2*x3-q*x1*x2^2*x3^2-x1*x2^2*x3^2-2*q^-1*x1*x2^2*x3^2-q^-2*x1*x2^2*x3^2-q^-3*x1*x2^2*x3^2+x1^2*x2^-1+x1^2*x2^-1*x3+x1^2*x2^-1*x3^2-q*x1^2+x1^2+q^2*x1^2*x3-q*x1^2*x3+x1^2*x3+q^-1*x1^2*x3+q^3*x1^2*x3^2+q^2*x1^2*x3^2-q*x1^2*x3^2+x1^2*x3^2+q^-1*x1^2*x3^2+q^-2*x1^2*x3^2-q*x1^2*x2+x1^2*x2+q^2*x1^2*x2*x3-q*x1^2*x2*x3+q^-1*x1^2*x2*x3+q^-2*x1^2*x2*x3+q^3*x1^2*x2*x3^2+2*q^2*x1^2*x2*x3^2+2*q^-2*x1^2*x2*x3^2+q^-3*x1^2*x2*x3^2+q^-4*x1^2*x2*x3^2-q*x1^2*x2^2+x1^2*x2^2+q^2*x1^2*x2^2*x3-q*x1^2*x2^2*x3+q^-2*x1^2*x2^2*x3+q^-3*x1^2*x2^2*x3+q^3*x1^2*x2^2*x3^2+2*q^2*x1^2*x2^2*x3^2+q*x1^2*x2^2*x3^2+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+2*q^-4*x1^2*x2^2*x3^2+q^-5*x1^2*x2^2*x3^2+q^-6*x1^2*x2^2*x3^2
L8a17{1;0} 9 {2,-3,2,2,-3,2,1,-2,1} [[1, 1, 1, 1, 1, 1, 1, 1], [1, 1, -1, 1, 1, 1], [-1, 1, 1, 1]] x3^(1/2) x1^-1*x2^2+x1^-1*x2^2*x3+x1^-1*x2^2*x3^2-q*x2-q*x2*x3-q*x2*x3^2-2*q*x2^2-3*q*x2^2*x3-x2^2*x3-q^2*x2^2*x3^2-3*q*x2^2*x3^2-x2^2*x3^2-q^-1*x2^2*x3^2+q^2*x1*x2*x3+q^3*x1*x2*x3^2+q^2*x1*x2*x3^2+q^2*x1*x2^2+q^3*x1*x2^2*x3+3*q^2*x1*x2^2*x3+q*x1*x2^2*x3+q^4*x1*x2^2*x3^2+4*q^3*x1*x2^2*x3^2+4*q^2*x1*x2^2*x3^2+2*q*x1*x2^2*x3^2+x1*x2^2*x3^2-q^4*x1^2*x2*x3^2-q^4*x1^2*x2^2*x3-q^3*x1^2*x2^2*x3-q^6*x1^2*x2^2*x3^2-2*q^5*x1^2*x2^2*x3^2-4*q^4*x1^2*x2^2*x3^2-2*q^3*x1^2*x2^2*x3^2-q^2*x1^2*x2^2*x3^2
L8a17{1;0} 9 {2,-3,2,2,-3,2,1,-2,1} [[-1, 1, 1, 1, 1, 1, 1, 1], [1, 1, -1, 1, 1, -1], [-1, 1, 1, 1]] x3^(1/2) x1^-1*x2^2+x1^-1*x2^2*x3+x1^-1*x2^2*x3^2-q*x2-q*x2*x3-q*x2*x3^2-2*q*x2^2-3*q*x2^2*x3-x2^2*x3-q^2*x2^2*x3^2-3*q*x2^2*x3^2-x2^2*x3^2-q^-1*x2^2*x3^2+q^2*x1*x2*x3+q^3*x1*x2*x3^2+q^2*x1*x2*x3^2+q^2*x1*x2^2+q^3*x1*x2^2*x3+3*q^2*x1*x2^2*x3+q*x1*x2^2*x3+q^4*x1*x2^2*x3^2+4*q^3*x1*x2^2*x3^2+4*q^2*x1*x2^2*x3^2+2*q*x1*x2^2*x3^2+x1*x2^2*x3^2-q^4*x1^2*x2*x3^2-q^4*x1^2*x2^2*x3-q^3*x1^2*x2^2*x3-q^6*x1^2*x2^2*x3^2-2*q^5*x1^2*x2^2*x3^2-4*q^4*x1^2*x2^2*x3^2-2*q^3*x1^2*x2^2*x3^2-q^2*x1^2*x2^2*x3^2
L8a17{1;0} 9 {2,-3,2,2,-3,2,1,-2,1} [[1, 1, -1, -1, 1, -1, -1, 1], [1, 1, -1, 1, 1, 1], [-1, 1, -1, 1]] x3^(1/2) -q*x1-q*x1*x3-q*x1*x3^2-q*x1*x2-q*x1*x2*x3-x1*x2*x3-q*x1*x2*x3^2-x1*x2*x3^2-q^-1*x1*x2*x3^2-q*x1*x2^2-q*x1*x2^2*x3-x1*x2^2*x3-q^-1*x1*x2^2*x3-q*x1*x2^2*x3^2-x1*x2^2*x3^2-2*q^-1*x1*x2^2*x3^2-q^-2*x1*x2^2*x3^2-q^-3*x1*x2^2*x3^2+x1^2*x2^-1+x1^2*x2^-1*x3+x1^2*x2^-1*x3^2-q*x1^2+x1^2+q^2*x1^2*x3-q*x1^2*x3+x1^2*x3+q^-1*x1^2*x3+q^3*x1^2*x3^2+q^2*x1^2*x3^2-q*x1^2*x3^2+x1^2*x3^2+q^-1*x1^2*x3^2+q^-2*x1^2*x3^2-q*x1^2*x2+x1^2*x2+q^2*x1^2*x2*x3-q*x1^2*x2*x3+q^-1*x1^2*x2*x3+q^-2*x1^2*x2*x3+q^3*x1^2*x2*x3^2+2*q^2*x1^2*x2*x3^2+2*q^-2*x1^2*x2*x3^2+q^-3*x1^2*x2*x3^2+q^-4*x1^2*x2*x3^2-q*x1^2*x2^2+x1^2*x2^2+q^2*x1^2*x2^2*x3-q*x1^2*x2^2*x3+q^-2*x1^2*x2^2*x3+q^-3*x1^2*x2^2*x3+q^3*x1^2*x2^2*x3^2+2*q^2*x1^2*x2^2*x3^2+q*x1^2*x2^2*x3^2+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+2*q^-4*x1^2*x2^2*x3^2+q^-5*x1^2*x2^2*x3^2+q^-6*x1^2*x2^2*x3^2
L8a17{1;0} 9 {2,-3,2,2,-3,2,1,-2,1} [[-1, 1, -1, -1, 1, -1, -1, 1], [1, 1, -1, 1, 1, -1], [-1, 1, -1, 1]] x3^(1/2) -q*x1-q*x1*x3-q*x1*x3^2-q*x1*x2-q*x1*x2*x3-x1*x2*x3-q*x1*x2*x3^2-x1*x2*x3^2-q^-1*x1*x2*x3^2-q*x1*x2^2-q*x1*x2^2*x3-x1*x2^2*x3-q^-1*x1*x2^2*x3-q*x1*x2^2*x3^2-x1*x2^2*x3^2-2*q^-1*x1*x2^2*x3^2-q^-2*x1*x2^2*x3^2-q^-3*x1*x2^2*x3^2+x1^2*x2^-1+x1^2*x2^-1*x3+x1^2*x2^-1*x3^2-q*x1^2+x1^2+q^2*x1^2*x3-q*x1^2*x3+x1^2*x3+q^-1*x1^2*x3+q^3*x1^2*x3^2+q^2*x1^2*x3^2-q*x1^2*x3^2+x1^2*x3^2+q^-1*x1^2*x3^2+q^-2*x1^2*x3^2-q*x1^2*x2+x1^2*x2+q^2*x1^2*x2*x3-q*x1^2*x2*x3+q^-1*x1^2*x2*x3+q^-2*x1^2*x2*x3+q^3*x1^2*x2*x3^2+2*q^2*x1^2*x2*x3^2+2*q^-2*x1^2*x2*x3^2+q^-3*x1^2*x2*x3^2+q^-4*x1^2*x2*x3^2-q*x1^2*x2^2+x1^2*x2^2+q^2*x1^2*x2^2*x3-q*x1^2*x2^2*x3+q^-2*x1^2*x2^2*x3+q^-3*x1^2*x2^2*x3+q^3*x1^2*x2^2*x3^2+2*q^2*x1^2*x2^2*x3^2+q*x1^2*x2^2*x3^2+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+2*q^-4*x1^2*x2^2*x3^2+q^-5*x1^2*x2^2*x3^2+q^-6*x1^2*x2^2*x3^2
L8a17{1;1} 8 {-1,-1,-1,2,2,-1,2,2} [[1, -1, 1, -1, 1, -1], [-1, 1, -1, 1, -1, 1], [1, -1, 1, -1]] x3^(1/2) -x1*x2-x1*x2^2+q*x1*x2^2*x3-x1^2*x2+q*x1^2*x2*x3-x1^2*x2^2+q^-1*x1^2*x2^2+2*q*x1^2*x2^2*x3-q^3*x1^2*x2^2*x3^2-q^2*x1^2*x2^2*x3^2
L8a17{1;1} 8 {-1,-1,-1,2,2,-1,2,2} [[-1, -1, -1, -1, 1, -1], [-1, -1, -1, -1, -1, 1], [1, -1, 1, -1]] x3^(1/2) -x1*x2-x1*x2^2+q*x1*x2^2*x3-x1^2*x2+q*x1^2*x2*x3-x1^2*x2^2+q^-1*x1^2*x2^2+2*q*x1^2*x2^2*x3-q^3*x1^2*x2^2*x3^2-q^2*x1^2*x2^2*x3^2
L8a18{0;0} 8 {1,-2,1,1,1,1,-2,1} [[1, 1, -1, 1], [1, 1, 1, 1, 1, 1], [-1, 1, 1, 1, 1, 1]] x1^(1/2) -q^2*x2*x3-q^2*x2*x3^2+q^3*x2^2*x3^2-q^2*x1*x2*x3-q^2*x1*x2*x3^2-q*x1*x2*x3^2+q^3*x1*x2^2*x3+2*q^3*x1*x2^2*x3^2+q^2*x1*x2^2*x3^2-q^2*x1^2*x2*x3-q^2*x1^2*x2*x3^2-q*x1^2*x2*x3^2-x1^2*x2*x3^2+q^4*x1^2*x2^2*x3+q^3*x1^2*x2^2*x3+q^4*x1^2*x2^2*x3^2+3*q^3*x1^2*x2^2*x3^2+2*q^2*x1^2*x2^2*x3^2+q*x1^2*x2^2*x3^2
L8a18{0;0} 8 {1,-2,1,1,1,1,-2,1} [[-1, 1, -1, 1], [1, -1, 1, -1, 1, -1], [-1, 1, -1, 1, -1, 1]] x1^(1/2) -q^2*x2*x3-q^2*x2*x3^2+q^3*x2^2*x3^2-q^2*x1*x2*x3-q^2*x1*x2*x3^2-q*x1*x2*x3^2+q^3*x1*x2^2*x3+2*q^3*x1*x2^2*x3^2+q^2*x1*x2^2*x3^2-q^2*x1^2*x2*x3-q^2*x1^2*x2*x3^2-q*x1^2*x2*x3^2-x1^2*x2*x3^2+q^4*x1^2*x2^2*x3+q^3*x1^2*x2^2*x3+q^4*x1^2*x2^2*x3^2+3*q^3*x1^2*x2^2*x3^2+2*q^2*x1^2*x2^2*x3^2+q*x1^2*x2^2*x3^2
L8a18{0;1} 14 {-1,-2,-3,4,-3,-3,-2,3,-4,-3,-2,-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, 1, 1]] x3^(1/2) q^3*x1^-4*x2^2*x3^2-q^2*x1^-3*x2*x3^2-q*x1^-3*x2^2*x3-2*q^2*x1^-3*x2^2*x3^2-2*q*x1^-3*x2^2*x3^2-x1^-3*x2^2*x3^2+x1^-2*x2*x3+q*x1^-2*x2*x3^2+x1^-2*x2*x3^2+x1^-2*x2^2+2*x1^-2*x2^2*x3+q^-1*x1^-2*x2^2*x3+q*x1^-2*x2^2*x3^2+3*x1^-2*x2^2*x3^2+2*q^-1*x1^-2*x2^2*x3^2+q^-2*x1^-2*x2^2*x3^2-q^-1*x1^-1*x2-q^-1*x1^-1*x2*x3-q^-1*x1^-1*x2*x3^2-q^-1*x1^-1*x2^2-q^-1*x1^-1*x2^2*x3-q^-2*x1^-1*x2^2*x3-q^-1*x1^-1*x2^2*x3^2-q^-2*x1^-1*x2^2*x3^2-q^-3*x1^-1*x2^2*x3^2
L8a18{0;1} 14 {-1,-2,-3,4,-3,-3,-2,3,-4,-3,-2,-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, 1, 1]] x3^(1/2) q^3*x1^-4*x2^2*x3^2-q^2*x1^-3*x2*x3^2-q*x1^-3*x2^2*x3-2*q^2*x1^-3*x2^2*x3^2-2*q*x1^-3*x2^2*x3^2-x1^-3*x2^2*x3^2+x1^-2*x2*x3+q*x1^-2*x2*x3^2+x1^-2*x2*x3^2+x1^-2*x2^2+2*x1^-2*x2^2*x3+q^-1*x1^-2*x2^2*x3+q*x1^-2*x2^2*x3^2+3*x1^-2*x2^2*x3^2+2*q^-1*x1^-2*x2^2*x3^2+q^-2*x1^-2*x2^2*x3^2-q^-1*x1^-1*x2-q^-1*x1^-1*x2*x3-q^-1*x1^-1*x2*x3^2-q^-1*x1^-1*x2^2-q^-1*x1^-1*x2^2*x3-q^-2*x1^-1*x2^2*x3-q^-1*x1^-1*x2^2*x3^2-q^-2*x1^-1*x2^2*x3^2-q^-3*x1^-1*x2^2*x3^2
L8a18{0;1} 14 {-1,-2,-3,4,-3,-3,-2,3,-4,-3,-2,-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, -1, -1]] 1 x1^-1*x2^2*x3^-1-q^-1*x2*x3^-1-q*x2^2*x3^-2+x2^2*x3^-1+x1*x2*x3^-2-q^-1*x1*x2*x3^-1+q^3*x1*x2^2*x3^-3-q^2*x1*x2^2*x3^-2-2*q*x1*x2^2*x3^-2+x1*x2^2*x3^-1-q^2*x1^2*x2*x3^-3+q*x1^2*x2*x3^-2+x1^2*x2*x3^-2-q^-1*x1^2*x2*x3^-1-q^6*x1^2*x2^2*x3^-4+q^5*x1^2*x2^2*x3^-3+2*q^4*x1^2*x2^2*x3^-3+2*q^3*x1^2*x2^2*x3^-3-q^3*x1^2*x2^2*x3^-2-2*q^2*x1^2*x2^2*x3^-2-2*q*x1^2*x2^2*x3^-2+x1^2*x2^2*x3^-1
L8a18{0;1} 14 {-1,-2,-3,4,-3,-3,-2,3,-4,-3,-2,-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, -1, -1]] x3^(1/2) x1^-1*x2^2*x3^-1-q^-1*x2*x3^-1-q*x2^2*x3^-2+x2^2*x3^-1+x1*x2*x3^-2-q^-1*x1*x2*x3^-1+q^3*x1*x2^2*x3^-3-q^2*x1*x2^2*x3^-2-2*q*x1*x2^2*x3^-2+x1*x2^2*x3^-1-q^2*x1^2*x2*x3^-3+q*x1^2*x2*x3^-2+x1^2*x2*x3^-2-q^-1*x1^2*x2*x3^-1-q^6*x1^2*x2^2*x3^-4+q^5*x1^2*x2^2*x3^-3+2*q^4*x1^2*x2^2*x3^-3+2*q^3*x1^2*x2^2*x3^-3-q^3*x1^2*x2^2*x3^-2-2*q^2*x1^2*x2^2*x3^-2-2*q*x1^2*x2^2*x3^-2+x1^2*x2^2*x3^-1
L8a18{0;1} 14 {-1,-2,-3,4,-3,-3,-2,3,-4,-3,-2,-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, -1, -1]] x3^(1/2) -q^2*x1*x2^-3*x3^2+x1*x2^-2*x3+q*x1*x2^-2*x3^2+x1*x2^-2*x3^2-q^-1*x1*x2^-1-q^-1*x1*x2^-1*x3-q^-1*x1*x2^-1*x3^2+q^3*x1^2*x2^-4*x3^2-q*x1^2*x2^-3*x3-2*q^2*x1^2*x2^-3*x3^2-2*q*x1^2*x2^-3*x3^2-x1^2*x2^-3*x3^2+x1^2*x2^-2+2*x1^2*x2^-2*x3+q^-1*x1^2*x2^-2*x3+q*x1^2*x2^-2*x3^2+3*x1^2*x2^-2*x3^2+2*q^-1*x1^2*x2^-2*x3^2+q^-2*x1^2*x2^-2*x3^2-q^-1*x1^2*x2^-1-q^-1*x1^2*x2^-1*x3-q^-2*x1^2*x2^-1*x3-q^-1*x1^2*x2^-1*x3^2-q^-2*x1^2*x2^-1*x3^2-q^-3*x1^2*x2^-1*x3^2
L8a18{0;1} 14 {-1,-2,-3,4,-3,-3,-2,3,-4,-3,-2,-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, -1, -1]] x3^(1/2) -q^2*x1*x2^-3*x3^2+x1*x2^-2*x3+q*x1*x2^-2*x3^2+x1*x2^-2*x3^2-q^-1*x1*x2^-1-q^-1*x1*x2^-1*x3-q^-1*x1*x2^-1*x3^2+q^3*x1^2*x2^-4*x3^2-q*x1^2*x2^-3*x3-2*q^2*x1^2*x2^-3*x3^2-2*q*x1^2*x2^-3*x3^2-x1^2*x2^-3*x3^2+x1^2*x2^-2+2*x1^2*x2^-2*x3+q^-1*x1^2*x2^-2*x3+q*x1^2*x2^-2*x3^2+3*x1^2*x2^-2*x3^2+2*q^-1*x1^2*x2^-2*x3^2+q^-2*x1^2*x2^-2*x3^2-q^-1*x1^2*x2^-1-q^-1*x1^2*x2^-1*x3-q^-2*x1^2*x2^-1*x3-q^-1*x1^2*x2^-1*x3^2-q^-2*x1^2*x2^-1*x3^2-q^-3*x1^2*x2^-1*x3^2
L8a18{0;1} 14 {-1,-2,-3,4,-3,-3,-2,3,-4,-3,-2,-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, -1, -1]] x3^(1/2) -q^-1*x1*x3^-1+x1*x2*x3^-2-q^-1*x1*x2*x3^-1-q^2*x1*x2^2*x3^-3+q*x1*x2^2*x3^-2+x1*x2^2*x3^-2-q^-1*x1*x2^2*x3^-1+x1^2*x2^-1*x3^-1-q*x1^2*x3^-2+x1^2*x3^-1+q^3*x1^2*x2*x3^-3-q^2*x1^2*x2*x3^-2-2*q*x1^2*x2*x3^-2+x1^2*x2*x3^-1-q^6*x1^2*x2^2*x3^-4+q^5*x1^2*x2^2*x3^-3+2*q^4*x1^2*x2^2*x3^-3+2*q^3*x1^2*x2^2*x3^-3-q^3*x1^2*x2^2*x3^-2-2*q^2*x1^2*x2^2*x3^-2-2*q*x1^2*x2^2*x3^-2+x1^2*x2^2*x3^-1
L8a18{0;1} 14 {-1,-2,-3,4,-3,-3,-2,3,-4,-3,-2,-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, -1, -1]] x3^(1/2) -q^-1*x1*x3^-1+x1*x2*x3^-2-q^-1*x1*x2*x3^-1-q^2*x1*x2^2*x3^-3+q*x1*x2^2*x3^-2+x1*x2^2*x3^-2-q^-1*x1*x2^2*x3^-1+x1^2*x2^-1*x3^-1-q*x1^2*x3^-2+x1^2*x3^-1+q^3*x1^2*x2*x3^-3-q^2*x1^2*x2*x3^-2-2*q*x1^2*x2*x3^-2+x1^2*x2*x3^-1-q^6*x1^2*x2^2*x3^-4+q^5*x1^2*x2^2*x3^-3+2*q^4*x1^2*x2^2*x3^-3+2*q^3*x1^2*x2^2*x3^-3-q^3*x1^2*x2^2*x3^-2-2*q^2*x1^2*x2^2*x3^-2-2*q*x1^2*x2^2*x3^-2+x1^2*x2^2*x3^-1
L8a18{1;0} 9 {-2,3,3,-2,3,3,-1,2,-1} [[1, -1, 1, 1, 1, 1, 1, -1], [-1, -1, 1, -1, -1, 1], [1, -1, 1, 1]] x3^(1/2) -q*x1-q*x1*x2+q^2*x1*x2*x3-q*x1*x2^2+q^3*x1*x2^2*x3+q^2*x1*x2^2*x3-q^4*x1*x2^2*x3^2+q^2*x1^2*x2^-1+q^2*x1^2-q^3*x1^2*x3+q^2*x1^2*x2-q^4*x1^2*x2*x3-2*q^3*x1^2*x2*x3+q^5*x1^2*x2*x3^2+q^2*x1^2*x2^2-q^5*x1^2*x2^2*x3-2*q^4*x1^2*x2^2*x3-2*q^3*x1^2*x2^2*x3+q^7*x1^2*x2^2*x3^2+2*q^6*x1^2*x2^2*x3^2+2*q^5*x1^2*x2^2*x3^2
L8a18{1;0} 9 {-2,3,3,-2,3,3,-1,2,-1} [[-1, -1, 1, 1, 1, 1, 1, -1], [-1, -1, 1, -1, -1, -1], [1, -1, 1, 1]] x3^(1/2) -q*x1-q*x1*x2+q^2*x1*x2*x3-q*x1*x2^2+q^3*x1*x2^2*x3+q^2*x1*x2^2*x3-q^4*x1*x2^2*x3^2+q^2*x1^2*x2^-1+q^2*x1^2-q^3*x1^2*x3+q^2*x1^2*x2-q^4*x1^2*x2*x3-2*q^3*x1^2*x2*x3+q^5*x1^2*x2*x3^2+q^2*x1^2*x2^2-q^5*x1^2*x2^2*x3-2*q^4*x1^2*x2^2*x3-2*q^3*x1^2*x2^2*x3+q^7*x1^2*x2^2*x3^2+2*q^6*x1^2*x2^2*x3^2+2*q^5*x1^2*x2^2*x3^2
L8a18{1;0} 9 {-2,3,3,-2,3,3,-1,2,-1} [[1, -1, -1, -1, -1, 1, -1, -1], [-1, -1, 1, -1, -1, 1], [1, -1, 1, -1]] x3^(1/2) q^2*x1^-1*x2^2-q*x2+q^2*x2^2-q^3*x2^2*x3-q*x1*x2+q^2*x1*x2*x3+q^2*x1*x2^2-q^4*x1*x2^2*x3-2*q^3*x1*x2^2*x3+q^5*x1*x2^2*x3^2-q*x1^2*x2+q^3*x1^2*x2*x3+q^2*x1^2*x2*x3-q^4*x1^2*x2*x3^2+q^2*x1^2*x2^2-q^5*x1^2*x2^2*x3-2*q^4*x1^2*x2^2*x3-2*q^3*x1^2*x2^2*x3+q^7*x1^2*x2^2*x3^2+2*q^6*x1^2*x2^2*x3^2+2*q^5*x1^2*x2^2*x3^2
L8a18{1;0} 9 {-2,3,3,-2,3,3,-1,2,-1} [[-1, -1, -1, -1, -1, 1, -1, -1], [-1, -1, 1, -1, -1, -1], [1, -1, 1, -1]] x3^(1/2) q^2*x1^-1*x2^2-q*x2+q^2*x2^2-q^3*x2^2*x3-q*x1*x2+q^2*x1*x2*x3+q^2*x1*x2^2-q^4*x1*x2^2*x3-2*q^3*x1*x2^2*x3+q^5*x1*x2^2*x3^2-q*x1^2*x2+q^3*x1^2*x2*x3+q^2*x1^2*x2*x3-q^4*x1^2*x2*x3^2+q^2*x1^2*x2^2-q^5*x1^2*x2^2*x3-2*q^4*x1^2*x2^2*x3-2*q^3*x1^2*x2^2*x3+q^7*x1^2*x2^2*x3^2+2*q^6*x1^2*x2^2*x3^2+2*q^5*x1^2*x2^2*x3^2
L8a18{1;1} 8 {1,-2,1,1,1,1,-2,1} [[1, 1, -1, 1], [1, 1, 1, 1, 1, 1], [-1, 1, 1, 1, 1, 1]] x1^(1/2) -q^2*x2*x3-q^2*x2*x3^2+q^3*x2^2*x3^2-q^2*x1*x2*x3-q^2*x1*x2*x3^2-q*x1*x2*x3^2+q^3*x1*x2^2*x3+2*q^3*x1*x2^2*x3^2+q^2*x1*x2^2*x3^2-q^2*x1^2*x2*x3-q^2*x1^2*x2*x3^2-q*x1^2*x2*x3^2-x1^2*x2*x3^2+q^4*x1^2*x2^2*x3+q^3*x1^2*x2^2*x3+q^4*x1^2*x2^2*x3^2+3*q^3*x1^2*x2^2*x3^2+2*q^2*x1^2*x2^2*x3^2+q*x1^2*x2^2*x3^2
L8a18{1;1} 8 {1,-2,1,1,1,1,-2,1} [[-1, 1, -1, 1], [1, -1, 1, -1, 1, -1], [-1, 1, -1, 1, -1, 1]] x1^(1/2) -q^2*x2*x3-q^2*x2*x3^2+q^3*x2^2*x3^2-q^2*x1*x2*x3-q^2*x1*x2*x3^2-q*x1*x2*x3^2+q^3*x1*x2^2*x3+2*q^3*x1*x2^2*x3^2+q^2*x1*x2^2*x3^2-q^2*x1^2*x2*x3-q^2*x1^2*x2*x3^2-q*x1^2*x2*x3^2-x1^2*x2*x3^2+q^4*x1^2*x2^2*x3+q^3*x1^2*x2^2*x3+q^4*x1^2*x2^2*x3^2+3*q^3*x1^2*x2^2*x3^2+2*q^2*x1^2*x2^2*x3^2+q*x1^2*x2^2*x3^2
L8a19{0;0} 8 {1,-2,1,1,-2,1,-2,-2} [[1, 1, -1, 1], [1, 1, 1, 1, 1, -1], [-1, 1, 1, 1, -1, 1]] 1 -x2*x3-x2*x3^2-x2^2*x3+q*x2^2*x3^2-x2^2*x3^2+q^-1*x2^2*x3^2-x1*x2*x3-x1*x2*x3^2-x1*x2^2*x3+q*x1*x2^2*x3^2-x1*x2^2*x3^2+q^-1*x1*x2^2*x3^2-x1^2*x2*x3-x1^2*x2*x3^2-x1^2*x2^2*x3+q*x1^2*x2^2*x3^2-x1^2*x2^2*x3^2+q^-1*x1^2*x2^2*x3^2
L8a19{0;0} 8 {1,-2,1,1,-2,1,-2,-2} [[-1, 1, -1, 1], [1, -1, 1, -1, 1, -1], [-1, 1, -1, 1, -1, 1]] 1 -x2*x3-x2*x3^2-x2^2*x3+q*x2^2*x3^2-x2^2*x3^2+q^-1*x2^2*x3^2-x1*x2*x3-x1*x2*x3^2-x1*x2^2*x3+q*x1*x2^2*x3^2-x1*x2^2*x3^2+q^-1*x1*x2^2*x3^2-x1^2*x2*x3-x1^2*x2*x3^2-x1^2*x2^2*x3+q*x1^2*x2^2*x3^2-x1^2*x2^2*x3^2+q^-1*x1^2*x2^2*x3^2
L8a19{0;1} 9 {-2,3,-2,1,-2,-3,-3,-2,1} [[1, 1, -1, -1, -1, 1], [1, -1, 1, 1, 1, -1, 1, 1], [-1, 1, -1, 1]] 1 x1^-1*x2^2+q*x1^-1*x2^2*x3+x1^-1*x2^2*x3-q^-1*x1^-1*x2^2*x3+q^2*x1^-1*x2^2*x3^2+q*x1^-1*x2^2*x3^2-q^-1*x1^-1*x2^2*x3^2-q^-1*x2-q^-1*x2*x3-q^-1*x2*x3^2+x2^2-2*q^-1*x2^2+q*x2^2*x3+x2^2*x3-3*q^-1*x2^2*x3+q^2*x2^2*x3^2+q*x2^2*x3^2-3*q^-1*x2^2*x3^2-q^-1*x1*x2-q^-1*x1*x2*x3-q^-1*x1*x2*x3^2-2*q^-1*x1*x2^2-2*q^-1*x1*x2^2*x3-2*q^-1*x1*x2^2*x3^2-q^-1*x1^2*x2-q^-1*x1^2*x2*x3-q^-1*x1^2*x2*x3^2-q*x1^2*x2^2-2*q^-1*x1^2*x2^2-q^2*x1^2*x2^2*x3-q*x1^2*x2^2*x3-2*q^-1*x1^2*x2^2*x3+q^-2*x1^2*x2^2*x3-q^3*x1^2*x2^2*x3^2-q^2*x1^2*x2^2*x3^2-q*x1^2*x2^2*x3^2-q^-1*x1^2*x2^2*x3^2+q^-2*x1^2*x2^2*x3^2
L8a19{0;1} 9 {-2,3,-2,1,-2,-3,-3,-2,1} [[-1, 1, -1, -1, -1, 1], [1, -1, 1, 1, 1, -1, 1, -1], [-1, 1, -1, 1]] x3^(1/2) x1^-1*x2^2+q*x1^-1*x2^2*x3+x1^-1*x2^2*x3-q^-1*x1^-1*x2^2*x3+q^2*x1^-1*x2^2*x3^2+q*x1^-1*x2^2*x3^2-q^-1*x1^-1*x2^2*x3^2-q^-1*x2-q^-1*x2*x3-q^-1*x2*x3^2+x2^2-2*q^-1*x2^2+q*x2^2*x3+x2^2*x3-3*q^-1*x2^2*x3+q^2*x2^2*x3^2+q*x2^2*x3^2-3*q^-1*x2^2*x3^2-q^-1*x1*x2-q^-1*x1*x2*x3-q^-1*x1*x2*x3^2-2*q^-1*x1*x2^2-2*q^-1*x1*x2^2*x3-2*q^-1*x1*x2^2*x3^2-q^-1*x1^2*x2-q^-1*x1^2*x2*x3-q^-1*x1^2*x2*x3^2-q*x1^2*x2^2-2*q^-1*x1^2*x2^2-q^2*x1^2*x2^2*x3-q*x1^2*x2^2*x3-2*q^-1*x1^2*x2^2*x3+q^-2*x1^2*x2^2*x3-q^3*x1^2*x2^2*x3^2-q^2*x1^2*x2^2*x3^2-q*x1^2*x2^2*x3^2-q^-1*x1^2*x2^2*x3^2+q^-2*x1^2*x2^2*x3^2
L8a19{0;1} 9 {-2,3,-2,1,-2,-3,-3,-2,1} [[1, 1, -1, -1, -1, 1], [1, -1, -1, -1, -1, -1, 1, 1], [-1, 1, -1, 1]] x3^(1/2) -q^-1*x1-q^-1*x1*x3-q^-1*x1*x3^2-q^-1*x1*x2-q^-1*x1*x2*x3-q^-1*x1*x2*x3^2-q^-1*x1*x2^2-q^-1*x1*x2^2*x3-q^-1*x1*x2^2*x3^2+x1^2*x2^-1+q*x1^2*x2^-1*x3+x1^2*x2^-1*x3-q^-1*x1^2*x2^-1*x3+q^2*x1^2*x2^-1*x3^2+q*x1^2*x2^-1*x3^2-q^-1*x1^2*x2^-1*x3^2+x1^2-2*q^-1*x1^2+q*x1^2*x3+x1^2*x3-3*q^-1*x1^2*x3+q^2*x1^2*x3^2+q*x1^2*x3^2-3*q^-1*x1^2*x3^2-2*q^-1*x1^2*x2-2*q^-1*x1^2*x2*x3-2*q^-1*x1^2*x2*x3^2-q*x1^2*x2^2-2*q^-1*x1^2*x2^2-q^2*x1^2*x2^2*x3-q*x1^2*x2^2*x3-2*q^-1*x1^2*x2^2*x3+q^-2*x1^2*x2^2*x3-q^3*x1^2*x2^2*x3^2-q^2*x1^2*x2^2*x3^2-q*x1^2*x2^2*x3^2-q^-1*x1^2*x2^2*x3^2+q^-2*x1^2*x2^2*x3^2
L8a19{0;1} 9 {-2,3,-2,1,-2,-3,-3,-2,1} [[-1, 1, -1, -1, -1, 1], [1, -1, -1, -1, -1, -1, 1, -1], [-1, 1, -1, 1]] x3^(1/2) -q^-1*x1-q^-1*x1*x3-q^-1*x1*x3^2-q^-1*x1*x2-q^-1*x1*x2*x3-q^-1*x1*x2*x3^2-q^-1*x1*x2^2-q^-1*x1*x2^2*x3-q^-1*x1*x2^2*x3^2+x1^2*x2^-1+q*x1^2*x2^-1*x3+x1^2*x2^-1*x3-q^-1*x1^2*x2^-1*x3+q^2*x1^2*x2^-1*x3^2+q*x1^2*x2^-1*x3^2-q^-1*x1^2*x2^-1*x3^2+x1^2-2*q^-1*x1^2+q*x1^2*x3+x1^2*x3-3*q^-1*x1^2*x3+q^2*x1^2*x3^2+q*x1^2*x3^2-3*q^-1*x1^2*x3^2-2*q^-1*x1^2*x2-2*q^-1*x1^2*x2*x3-2*q^-1*x1^2*x2*x3^2-q*x1^2*x2^2-2*q^-1*x1^2*x2^2-q^2*x1^2*x2^2*x3-q*x1^2*x2^2*x3-2*q^-1*x1^2*x2^2*x3+q^-2*x1^2*x2^2*x3-q^3*x1^2*x2^2*x3^2-q^2*x1^2*x2^2*x3^2-q*x1^2*x2^2*x3^2-q^-1*x1^2*x2^2*x3^2+q^-2*x1^2*x2^2*x3^2
L8a19{1;0} 9 {2,-3,2,-1,2,3,3,2,-1} [[1, -1, 1, 1, 1, -1], [-1, 1, 1, 1, 1, 1, -1, 1], [1, -1, 1, -1]] 1 -q*x1-q*x1*x3-q*x1*x3^2-q*x1*x2-q*x1*x2*x3-q*x1*x2*x3^2-q*x1*x2^2-q*x1*x2^2*x3-q*x1*x2^2*x3^2+x1^2*x2^-1-q*x1^2*x2^-1*x3+x1^2*x2^-1*x3+q^-1*x1^2*x2^-1*x3-q*x1^2*x2^-1*x3^2+q^-1*x1^2*x2^-1*x3^2+q^-2*x1^2*x2^-1*x3^2-2*q*x1^2+x1^2-3*q*x1^2*x3+x1^2*x3+q^-1*x1^2*x3-3*q*x1^2*x3^2+q^-1*x1^2*x3^2+q^-2*x1^2*x3^2-2*q*x1^2*x2-2*q*x1^2*x2*x3-2*q*x1^2*x2*x3^2-2*q*x1^2*x2^2-q^-1*x1^2*x2^2+q^2*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3-q^-1*x1^2*x2^2*x3-q^-2*x1^2*x2^2*x3+q^2*x1^2*x2^2*x3^2-q*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
L8a19{1;0} 9 {2,-3,2,-1,2,3,3,2,-1} [[-1, -1, 1, 1, 1, -1], [-1, 1, 1, 1, 1, 1, -1, -1], [1, -1, 1, -1]] x3^(1/2) -q*x1-q*x1*x3-q*x1*x3^2-q*x1*x2-q*x1*x2*x3-q*x1*x2*x3^2-q*x1*x2^2-q*x1*x2^2*x3-q*x1*x2^2*x3^2+x1^2*x2^-1-q*x1^2*x2^-1*x3+x1^2*x2^-1*x3+q^-1*x1^2*x2^-1*x3-q*x1^2*x2^-1*x3^2+q^-1*x1^2*x2^-1*x3^2+q^-2*x1^2*x2^-1*x3^2-2*q*x1^2+x1^2-3*q*x1^2*x3+x1^2*x3+q^-1*x1^2*x3-3*q*x1^2*x3^2+q^-1*x1^2*x3^2+q^-2*x1^2*x3^2-2*q*x1^2*x2-2*q*x1^2*x2*x3-2*q*x1^2*x2*x3^2-2*q*x1^2*x2^2-q^-1*x1^2*x2^2+q^2*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3-q^-1*x1^2*x2^2*x3-q^-2*x1^2*x2^2*x3+q^2*x1^2*x2^2*x3^2-q*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
L8a19{1;0} 9 {2,-3,2,-1,2,3,3,2,-1} [[1, -1, 1, 1, 1, -1], [-1, 1, -1, -1, -1, 1, -1, 1], [1, -1, 1, -1]] x3^(1/2) x1^-1*x2^2-q*x1^-1*x2^2*x3+x1^-1*x2^2*x3+q^-1*x1^-1*x2^2*x3-q*x1^-1*x2^2*x3^2+q^-1*x1^-1*x2^2*x3^2+q^-2*x1^-1*x2^2*x3^2-q*x2-q*x2*x3-q*x2*x3^2-2*q*x2^2+x2^2-3*q*x2^2*x3+x2^2*x3+q^-1*x2^2*x3-3*q*x2^2*x3^2+q^-1*x2^2*x3^2+q^-2*x2^2*x3^2-q*x1*x2-q*x1*x2*x3-q*x1*x2*x3^2-2*q*x1*x2^2-2*q*x1*x2^2*x3-2*q*x1*x2^2*x3^2-q*x1^2*x2-q*x1^2*x2*x3-q*x1^2*x2*x3^2-2*q*x1^2*x2^2-q^-1*x1^2*x2^2+q^2*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3-q^-1*x1^2*x2^2*x3-q^-2*x1^2*x2^2*x3+q^2*x1^2*x2^2*x3^2-q*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
L8a19{1;0} 9 {2,-3,2,-1,2,3,3,2,-1} [[-1, -1, 1, 1, 1, -1], [-1, 1, -1, -1, -1, 1, -1, -1], [1, -1, 1, -1]] x3^(1/2) x1^-1*x2^2-q*x1^-1*x2^2*x3+x1^-1*x2^2*x3+q^-1*x1^-1*x2^2*x3-q*x1^-1*x2^2*x3^2+q^-1*x1^-1*x2^2*x3^2+q^-2*x1^-1*x2^2*x3^2-q*x2-q*x2*x3-q*x2*x3^2-2*q*x2^2+x2^2-3*q*x2^2*x3+x2^2*x3+q^-1*x2^2*x3-3*q*x2^2*x3^2+q^-1*x2^2*x3^2+q^-2*x2^2*x3^2-q*x1*x2-q*x1*x2*x3-q*x1*x2*x3^2-2*q*x1*x2^2-2*q*x1*x2^2*x3-2*q*x1*x2^2*x3^2-q*x1^2*x2-q*x1^2*x2*x3-q*x1^2*x2*x3^2-2*q*x1^2*x2^2-q^-1*x1^2*x2^2+q^2*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3-q^-1*x1^2*x2^2*x3-q^-2*x1^2*x2^2*x3+q^2*x1^2*x2^2*x3^2-q*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
L8a19{1;1} 8 {1,-2,1,1,-2,1,-2,-2} [[1, 1, -1, 1], [1, 1, 1, 1, 1, -1], [-1, 1, 1, 1, -1, 1]] 1 -x2*x3-x2*x3^2-x2^2*x3+q*x2^2*x3^2-x2^2*x3^2+q^-1*x2^2*x3^2-x1*x2*x3-x1*x2*x3^2-x1*x2^2*x3+q*x1*x2^2*x3^2-x1*x2^2*x3^2+q^-1*x1*x2^2*x3^2-x1^2*x2*x3-x1^2*x2*x3^2-x1^2*x2^2*x3+q*x1^2*x2^2*x3^2-x1^2*x2^2*x3^2+q^-1*x1^2*x2^2*x3^2
L8a19{1;1} 8 {1,-2,1,1,-2,1,-2,-2} [[-1, 1, -1, 1], [1, -1, 1, -1, 1, -1], [-1, 1, -1, 1, -1, 1]] 1 -x2*x3-x2*x3^2-x2^2*x3+q*x2^2*x3^2-x2^2*x3^2+q^-1*x2^2*x3^2-x1*x2*x3-x1*x2*x3^2-x1*x2^2*x3+q*x1*x2^2*x3^2-x1*x2^2*x3^2+q^-1*x1*x2^2*x3^2-x1^2*x2*x3-x1^2*x2*x3^2-x1^2*x2^2*x3+q*x1^2*x2^2*x3^2-x1^2*x2^2*x3^2+q^-1*x1^2*x2^2*x3^2
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
L8a20{0;0} 12 {1,2,-3,-4,-3,2,-1,2,-3,4,-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]] x1^(1/2)*x2^(1/2)*x3^(1/2) -x1*x2^-1*x3^-1-x1^2*x2^-2*x3^-2+2*q^-1*x1^2*x2^-2*x3^-1+2*q*x1^2*x2^-1*x3^-2-2*x1^2*x2^-1*x3^-1
L8a20{0;0} 12 {1,2,-3,-4,-3,2,-1,2,-3,4,-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 -x1*x2^-1*x3^-1-x1^2*x2^-2*x3^-2+2*q^-1*x1^2*x2^-2*x3^-1+2*q*x1^2*x2^-1*x3^-2-2*x1^2*x2^-1*x3^-1
L8a20{0;1} 11 {-2,-2,3,-2,-3,-3,-2,-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 2*q^-1*x1^-2*x2^2-q^-2*x1^-2*x2^2*x3-q^-2*x1^-1*x2-2*q^-2*x1^-1*x2^2+2*q^-3*x1^-1*x2^2*x3
L8a20{0;1} 11 {-2,-2,3,-2,-3,-3,-2,-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 2*q^-1*x1^-2*x2^2-q^-2*x1^-2*x2^2*x3-q^-2*x1^-1*x2-2*q^-2*x1^-1*x2^2+2*q^-3*x1^-1*x2^2*x3
L8a20{1;0} 8 {-1,2,2,-1,-1,2,2,-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) -x1-2*x1^2+2*q*x1^2*x3+2*q^-1*x1^2*x2-x1^2*x2*x3
L8a20{1;0} 8 {-1,2,2,-1,-1,2,2,-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) -x1-2*x1^2+2*q*x1^2*x3+2*q^-1*x1^2*x2-x1^2*x2*x3
L8a20{1;1} 11 {2,2,-3,2,3,3,2,1,-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 2*q*x1^-2*x2^2-q^2*x1^-2*x2^2*x3-q^2*x1^-1*x2-2*q^2*x1^-1*x2^2+2*q^3*x1^-1*x2^2*x3
L8a20{1;1} 11 {2,2,-3,2,3,3,2,1,-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)*x3^(1/2) 2*q*x1^-2*x2^2-q^2*x1^-2*x2^2*x3-q^2*x1^-1*x2-2*q^2*x1^-1*x2^2+2*q^3*x1^-1*x2^2*x3
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{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{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]] 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
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
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{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{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

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.