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
L9n28{0;1} 9 {-1,2,-1,2,-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) -q^2*x2^-2*x3^2+x2^-1*x3-2*q^2*x2^-1*x3^2-q^-1+2*x3-3*q^2*x3^2-2*q^-1*x2+3*x2*x3-4*q^2*x2*x3^2-3*q^-1*x2^2+4*x2^2*x3-5*q^2*x2^2*x3^2-q^6*x1*x2^-2*x3^2-q^5*x1*x2^-2*x3^2+q^3*x1*x2^-2*x3^2+q^3*x1*x2^-1*x3+q^2*x1*x2^-1*x3-q*x1*x2^-1*x3-2*q^7*x1*x2^-1*x3^2-4*q^6*x1*x2^-1*x3^2-2*q^5*x1*x2^-1*x3^2+2*q^4*x1*x2^-1*x3^2+4*q^3*x1*x2^-1*x3^2-q*x1+2*q^4*x1*x3+4*q^3*x1*x3-4*q*x1*x3-3*q^8*x1*x3^2-7*q^7*x1*x3^2-8*q^6*x1*x3^2-q^5*x1*x3^2+9*q^4*x1*x3^2+10*q^3*x1*x3^2-2*q*x1*x3^2-x1*x3^2-2*q^2*x1*x2-2*q*x1*x2+2*x1*x2+3*q^5*x1*x2*x3+7*q^4*x1*x2*x3+5*q^3*x1*x2*x3-4*q^2*x1*x2*x3-10*q*x1*x2*x3+2*q^-1*x1*x2*x3-4*q^9*x1*x2*x3^2-10*q^8*x1*x2*x3^2-14*q^7*x1*x2*x3^2-10*q^6*x1*x2*x3^2+6*q^5*x1*x2*x3^2+20*q^4*x1*x2*x3^2+20*q^3*x1*x2*x3^2-8*q*x1*x2*x3^2-4*x1*x2*x3^2-3*q^3*x1*x2^2-4*q^2*x1*x2^2+4*x1*x2^2+4*q^6*x1*x2^2*x3+10*q^5*x1*x2^2*x3+10*q^4*x1*x2^2*x3+2*q^3*x1*x2^2*x3-12*q^2*x1*x2^2*x3-16*q*x1*x2^2*x3+4*q^-1*x1*x2^2*x3+2*q^-2*x1*x2^2*x3-5*q^10*x1*x2^2*x3^2-13*q^9*x1*x2^2*x3^2-20*q^8*x1*x2^2*x3^2-19*q^7*x1*x2^2*x3^2-5*q^6*x1*x2^2*x3^2+18*q^5*x1*x2^2*x3^2+36*q^4*x1*x2^2*x3^2+30*q^3*x1*x2^2*x3^2-14*q*x1*x2^2*x3^2-12*x1*x2^2*x3^2-2*q^-1*x1*x2^2*x3^2+q^-2*x1*x2^2*x3^2-q^12*x1^2*x2^-2*x3^2-q^11*x1^2*x2^-2*x3^2-2*q^10*x1^2*x2^-2*x3^2+q^8*x1^2*x2^-2*x3^2+2*q^7*x1^2*x2^-2*x3^2+q^6*x1^2*x2^-2*x3^2-q^5*x1^2*x2^-2*x3^2+q^8*x1^2*x2^-1*x3+q^7*x1^2*x2^-1*x3+q^6*x1^2*x2^-1*x3-q^5*x1^2*x2^-1*x3-q^4*x1^2*x2^-1*x3-2*q^14*x1^2*x2^-1*x3^2-4*q^13*x1^2*x2^-1*x3^2-8*q^12*x1^2*x2^-1*x3^2-6*q^11*x1^2*x2^-1*x3^2-2*q^10*x1^2*x2^-1*x3^2+8*q^9*x1^2*x2^-1*x3^2+12*q^8*x1^2*x2^-1*x3^2+8*q^7*x1^2*x2^-1*x3^2-6*q^5*x1^2*x2^-1*x3^2-2*q^4*x1^2*x2^-1*x3^2-q^5*x1^2+2*q^10*x1^2*x3+4*q^9*x1^2*x3+6*q^8*x1^2*x3+2*q^7*x1^2*x3-4*q^6*x1^2*x3-8*q^5*x1^2*x3-4*q^4*x1^2*x3+2*q^3*x1^2*x3+2*q^2*x1^2*x3-3*q^16*x1^2*x3^2-7*q^15*x1^2*x3^2-17*q^14*x1^2*x3^2-20*q^13*x1^2*x3^2-20*q^12*x1^2*x3^2+23*q^10*x1^2*x3^2+43*q^9*x1^2*x3^2+38*q^8*x1^2*x3^2+9*q^7*x1^2*x3^2-17*q^6*x1^2*x3^2-27*q^5*x1^2*x3^2-10*q^4*x1^2*x3^2+q^3*x1^2*x3^2+3*q^2*x1^2*x3^2+q*x1^2*x3^2-2*q^7*x1^2*x2-2*q^6*x1^2*x2-2*q^5*x1^2*x2+2*q^4*x1^2*x2+2*q^3*x1^2*x2+3*q^12*x1^2*x2*x3+7*q^11*x1^2*x2*x3+14*q^10*x1^2*x2*x3+13*q^9*x1^2*x2*x3+5*q^8*x1^2*x2*x3-14*q^7*x1^2*x2*x3-26*q^6*x1^2*x2*x3-20*q^5*x1^2*x2*x3+14*q^3*x1^2*x2*x3+8*q^2*x1^2*x2*x3-x1^2*x2*x3-4*q^18*x1^2*x2*x3^2-10*q^17*x1^2*x2*x3^2-26*q^16*x1^2*x2*x3^2-38*q^15*x1^2*x2*x3^2-50*q^14*x1^2*x2*x3^2-34*q^13*x1^2*x2*x3^2+60*q^11*x1^2*x2*x3^2+104*q^10*x1^2*x2*x3^2+108*q^9*x1^2*x2*x3^2+56*q^8*x1^2*x2*x3^2-28*q^7*x1^2*x2*x3^2-78*q^6*x1^2*x2*x3^2-78*q^5*x1^2*x2*x3^2-24*q^4*x1^2*x2*x3^2+12*q^3*x1^2*x2*x3^2+18*q^2*x1^2*x2*x3^2+8*q*x1^2*x2*x3^2-3*q^9*x1^2*x2^2-4*q^8*x1^2*x2^2-7*q^7*x1^2*x2^2-q^6*x1^2*x2^2+4*q^5*x1^2*x2^2+8*q^4*x1^2*x2^2+4*q^3*x1^2*x2^2-3*q^2*x1^2*x2^2-q*x1^2*x2^2+4*q^14*x1^2*x2^2*x3+10*q^13*x1^2*x2^2*x3+22*q^12*x1^2*x2^2*x3+28*q^11*x1^2*x2^2*x3+26*q^10*x1^2*x2^2*x3+2*q^9*x1^2*x2^2*x3-32*q^8*x1^2*x2^2*x3-60*q^7*x1^2*x2^2*x3-54*q^6*x1^2*x2^2*x3-16*q^5*x1^2*x2^2*x3+26*q^4*x1^2*x2^2*x3+40*q^3*x1^2*x2^2*x3+18*q^2*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3-6*x1^2*x2^2*x3-2*q^-1*x1^2*x2^2*x3-5*q^20*x1^2*x2^2*x3^2-13*q^19*x1^2*x2^2*x3^2-35*q^18*x1^2*x2^2*x3^2-56*q^17*x1^2*x2^2*x3^2-85*q^16*x1^2*x2^2*x3^2-84*q^15*x1^2*x2^2*x3^2-60*q^14*x1^2*x2^2*x3^2+20*q^13*x1^2*x2^2*x3^2+118*q^12*x1^2*x2^2*x3^2+211*q^11*x1^2*x2^2*x3^2+231*q^10*x1^2*x2^2*x3^2+153*q^9*x1^2*x2^2*x3^2+7*q^8*x1^2*x2^2*x3^2-147*q^7*x1^2*x2^2*x3^2-201*q^6*x1^2*x2^2*x3^2-158*q^5*x1^2*x2^2*x3^2-35*q^4*x1^2*x2^2*x3^2+45*q^3*x1^2*x2^2*x3^2+59*q^2*x1^2*x2^2*x3^2+32*q*x1^2*x2^2*x3^2+4*x1^2*x2^2*x3^2-3*q^-1*x1^2*x2^2*x3^2-3*q^-2*x1^2*x2^2*x3^2
L9n28{0;1} 9 {-1,2,-1,2,-1,-3,-2,-2,-3} [[1, -1, 1, -1], [-1, 1, -1, 1, 1, 1, -1, 1, -1, -1], [-1, -1, -1, -1]] 1 -q^-1*x2*x3^-1+x2^2*x3^-2-2*q^-1*x2^2*x3^-1-q^-1*x1*x2*x3^-1-q*x1*x2^2*x3^-2+x1*x2^2*x3^-2+q^-1*x1*x2^2*x3^-2-2*q^-1*x1*x2^2*x3^-1-q^-1*x1^2*x2*x3^-1-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^-2-2*q^-1*x1^2*x2^2*x3^-1
L9n28{0;1} 9 {-1,2,-1,2,-1,-3,-2,-2,-3} [[-1, -1, 1, -1], [-1, -1, -1, 1, -1, 1, -1, -1, -1, -1], [-1, 1, 1, 1]] 1 -q^2*x2^-2*x3^2+x2^-1*x3-2*q^2*x2^-1*x3^2-q^-1+2*x3-3*q^2*x3^2-2*q^-1*x2+3*x2*x3-4*q^2*x2*x3^2-3*q^-1*x2^2+4*x2^2*x3-5*q^2*x2^2*x3^2-q^6*x1*x2^-2*x3^2-q^5*x1*x2^-2*x3^2+q^3*x1*x2^-2*x3^2+q^3*x1*x2^-1*x3+q^2*x1*x2^-1*x3-q*x1*x2^-1*x3-2*q^7*x1*x2^-1*x3^2-4*q^6*x1*x2^-1*x3^2-2*q^5*x1*x2^-1*x3^2+2*q^4*x1*x2^-1*x3^2+4*q^3*x1*x2^-1*x3^2-q*x1+2*q^4*x1*x3+4*q^3*x1*x3-4*q*x1*x3-3*q^8*x1*x3^2-7*q^7*x1*x3^2-8*q^6*x1*x3^2-q^5*x1*x3^2+9*q^4*x1*x3^2+10*q^3*x1*x3^2-2*q*x1*x3^2-x1*x3^2-2*q^2*x1*x2-2*q*x1*x2+2*x1*x2+3*q^5*x1*x2*x3+7*q^4*x1*x2*x3+5*q^3*x1*x2*x3-4*q^2*x1*x2*x3-10*q*x1*x2*x3+2*q^-1*x1*x2*x3-4*q^9*x1*x2*x3^2-10*q^8*x1*x2*x3^2-14*q^7*x1*x2*x3^2-10*q^6*x1*x2*x3^2+6*q^5*x1*x2*x3^2+20*q^4*x1*x2*x3^2+20*q^3*x1*x2*x3^2-8*q*x1*x2*x3^2-4*x1*x2*x3^2-3*q^3*x1*x2^2-4*q^2*x1*x2^2+4*x1*x2^2+4*q^6*x1*x2^2*x3+10*q^5*x1*x2^2*x3+10*q^4*x1*x2^2*x3+2*q^3*x1*x2^2*x3-12*q^2*x1*x2^2*x3-16*q*x1*x2^2*x3+4*q^-1*x1*x2^2*x3+2*q^-2*x1*x2^2*x3-5*q^10*x1*x2^2*x3^2-13*q^9*x1*x2^2*x3^2-20*q^8*x1*x2^2*x3^2-19*q^7*x1*x2^2*x3^2-5*q^6*x1*x2^2*x3^2+18*q^5*x1*x2^2*x3^2+36*q^4*x1*x2^2*x3^2+30*q^3*x1*x2^2*x3^2-14*q*x1*x2^2*x3^2-12*x1*x2^2*x3^2-2*q^-1*x1*x2^2*x3^2+q^-2*x1*x2^2*x3^2-q^12*x1^2*x2^-2*x3^2-q^11*x1^2*x2^-2*x3^2-2*q^10*x1^2*x2^-2*x3^2+q^8*x1^2*x2^-2*x3^2+2*q^7*x1^2*x2^-2*x3^2+q^6*x1^2*x2^-2*x3^2-q^5*x1^2*x2^-2*x3^2+q^8*x1^2*x2^-1*x3+q^7*x1^2*x2^-1*x3+q^6*x1^2*x2^-1*x3-q^5*x1^2*x2^-1*x3-q^4*x1^2*x2^-1*x3-2*q^14*x1^2*x2^-1*x3^2-4*q^13*x1^2*x2^-1*x3^2-8*q^12*x1^2*x2^-1*x3^2-6*q^11*x1^2*x2^-1*x3^2-2*q^10*x1^2*x2^-1*x3^2+8*q^9*x1^2*x2^-1*x3^2+12*q^8*x1^2*x2^-1*x3^2+8*q^7*x1^2*x2^-1*x3^2-6*q^5*x1^2*x2^-1*x3^2-2*q^4*x1^2*x2^-1*x3^2-q^5*x1^2+2*q^10*x1^2*x3+4*q^9*x1^2*x3+6*q^8*x1^2*x3+2*q^7*x1^2*x3-4*q^6*x1^2*x3-8*q^5*x1^2*x3-4*q^4*x1^2*x3+2*q^3*x1^2*x3+2*q^2*x1^2*x3-3*q^16*x1^2*x3^2-7*q^15*x1^2*x3^2-17*q^14*x1^2*x3^2-20*q^13*x1^2*x3^2-20*q^12*x1^2*x3^2+23*q^10*x1^2*x3^2+43*q^9*x1^2*x3^2+38*q^8*x1^2*x3^2+9*q^7*x1^2*x3^2-17*q^6*x1^2*x3^2-27*q^5*x1^2*x3^2-10*q^4*x1^2*x3^2+q^3*x1^2*x3^2+3*q^2*x1^2*x3^2+q*x1^2*x3^2-2*q^7*x1^2*x2-2*q^6*x1^2*x2-2*q^5*x1^2*x2+2*q^4*x1^2*x2+2*q^3*x1^2*x2+3*q^12*x1^2*x2*x3+7*q^11*x1^2*x2*x3+14*q^10*x1^2*x2*x3+13*q^9*x1^2*x2*x3+5*q^8*x1^2*x2*x3-14*q^7*x1^2*x2*x3-26*q^6*x1^2*x2*x3-20*q^5*x1^2*x2*x3+14*q^3*x1^2*x2*x3+8*q^2*x1^2*x2*x3-x1^2*x2*x3-4*q^18*x1^2*x2*x3^2-10*q^17*x1^2*x2*x3^2-26*q^16*x1^2*x2*x3^2-38*q^15*x1^2*x2*x3^2-50*q^14*x1^2*x2*x3^2-34*q^13*x1^2*x2*x3^2+60*q^11*x1^2*x2*x3^2+104*q^10*x1^2*x2*x3^2+108*q^9*x1^2*x2*x3^2+56*q^8*x1^2*x2*x3^2-28*q^7*x1^2*x2*x3^2-78*q^6*x1^2*x2*x3^2-78*q^5*x1^2*x2*x3^2-24*q^4*x1^2*x2*x3^2+12*q^3*x1^2*x2*x3^2+18*q^2*x1^2*x2*x3^2+8*q*x1^2*x2*x3^2-3*q^9*x1^2*x2^2-4*q^8*x1^2*x2^2-7*q^7*x1^2*x2^2-q^6*x1^2*x2^2+4*q^5*x1^2*x2^2+8*q^4*x1^2*x2^2+4*q^3*x1^2*x2^2-3*q^2*x1^2*x2^2-q*x1^2*x2^2+4*q^14*x1^2*x2^2*x3+10*q^13*x1^2*x2^2*x3+22*q^12*x1^2*x2^2*x3+28*q^11*x1^2*x2^2*x3+26*q^10*x1^2*x2^2*x3+2*q^9*x1^2*x2^2*x3-32*q^8*x1^2*x2^2*x3-60*q^7*x1^2*x2^2*x3-54*q^6*x1^2*x2^2*x3-16*q^5*x1^2*x2^2*x3+26*q^4*x1^2*x2^2*x3+40*q^3*x1^2*x2^2*x3+18*q^2*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3-6*x1^2*x2^2*x3-2*q^-1*x1^2*x2^2*x3-5*q^20*x1^2*x2^2*x3^2-13*q^19*x1^2*x2^2*x3^2-35*q^18*x1^2*x2^2*x3^2-56*q^17*x1^2*x2^2*x3^2-85*q^16*x1^2*x2^2*x3^2-84*q^15*x1^2*x2^2*x3^2-60*q^14*x1^2*x2^2*x3^2+20*q^13*x1^2*x2^2*x3^2+118*q^12*x1^2*x2^2*x3^2+211*q^11*x1^2*x2^2*x3^2+231*q^10*x1^2*x2^2*x3^2+153*q^9*x1^2*x2^2*x3^2+7*q^8*x1^2*x2^2*x3^2-147*q^7*x1^2*x2^2*x3^2-201*q^6*x1^2*x2^2*x3^2-158*q^5*x1^2*x2^2*x3^2-35*q^4*x1^2*x2^2*x3^2+45*q^3*x1^2*x2^2*x3^2+59*q^2*x1^2*x2^2*x3^2+32*q*x1^2*x2^2*x3^2+4*x1^2*x2^2*x3^2-3*q^-1*x1^2*x2^2*x3^2-3*q^-2*x1^2*x2^2*x3^2
L9n28{0;1} 9 {-1,2,-1,2,-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) -q^-1*x2*x3^-1+x2^2*x3^-2-2*q^-1*x2^2*x3^-1-q^-1*x1*x2*x3^-1-q*x1*x2^2*x3^-2+x1*x2^2*x3^-2+q^-1*x1*x2^2*x3^-2-2*q^-1*x1*x2^2*x3^-1-q^-1*x1^2*x2*x3^-1-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^-2-2*q^-1*x1^2*x2^2*x3^-1
L9n28{1;0} 9 {-1,2,-1,2,-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) -q^2*x2^-2*x3^2+x2^-1*x3-2*q^2*x2^-1*x3^2-q^-1+2*x3-3*q^2*x3^2-2*q^-1*x2+3*x2*x3-4*q^2*x2*x3^2-3*q^-1*x2^2+4*x2^2*x3-5*q^2*x2^2*x3^2-q^6*x1*x2^-2*x3^2-q^5*x1*x2^-2*x3^2+q^3*x1*x2^-2*x3^2+q^3*x1*x2^-1*x3+q^2*x1*x2^-1*x3-q*x1*x2^-1*x3-2*q^7*x1*x2^-1*x3^2-4*q^6*x1*x2^-1*x3^2-2*q^5*x1*x2^-1*x3^2+2*q^4*x1*x2^-1*x3^2+4*q^3*x1*x2^-1*x3^2-q*x1+2*q^4*x1*x3+4*q^3*x1*x3-4*q*x1*x3-3*q^8*x1*x3^2-7*q^7*x1*x3^2-8*q^6*x1*x3^2-q^5*x1*x3^2+9*q^4*x1*x3^2+10*q^3*x1*x3^2-2*q*x1*x3^2-x1*x3^2-2*q^2*x1*x2-2*q*x1*x2+2*x1*x2+3*q^5*x1*x2*x3+7*q^4*x1*x2*x3+5*q^3*x1*x2*x3-4*q^2*x1*x2*x3-10*q*x1*x2*x3+2*q^-1*x1*x2*x3-4*q^9*x1*x2*x3^2-10*q^8*x1*x2*x3^2-14*q^7*x1*x2*x3^2-10*q^6*x1*x2*x3^2+6*q^5*x1*x2*x3^2+20*q^4*x1*x2*x3^2+20*q^3*x1*x2*x3^2-8*q*x1*x2*x3^2-4*x1*x2*x3^2-3*q^3*x1*x2^2-4*q^2*x1*x2^2+4*x1*x2^2+4*q^6*x1*x2^2*x3+10*q^5*x1*x2^2*x3+10*q^4*x1*x2^2*x3+2*q^3*x1*x2^2*x3-12*q^2*x1*x2^2*x3-16*q*x1*x2^2*x3+4*q^-1*x1*x2^2*x3+2*q^-2*x1*x2^2*x3-5*q^10*x1*x2^2*x3^2-13*q^9*x1*x2^2*x3^2-20*q^8*x1*x2^2*x3^2-19*q^7*x1*x2^2*x3^2-5*q^6*x1*x2^2*x3^2+18*q^5*x1*x2^2*x3^2+36*q^4*x1*x2^2*x3^2+30*q^3*x1*x2^2*x3^2-14*q*x1*x2^2*x3^2-12*x1*x2^2*x3^2-2*q^-1*x1*x2^2*x3^2+q^-2*x1*x2^2*x3^2-q^12*x1^2*x2^-2*x3^2-q^11*x1^2*x2^-2*x3^2-2*q^10*x1^2*x2^-2*x3^2+q^8*x1^2*x2^-2*x3^2+2*q^7*x1^2*x2^-2*x3^2+q^6*x1^2*x2^-2*x3^2-q^5*x1^2*x2^-2*x3^2+q^8*x1^2*x2^-1*x3+q^7*x1^2*x2^-1*x3+q^6*x1^2*x2^-1*x3-q^5*x1^2*x2^-1*x3-q^4*x1^2*x2^-1*x3-2*q^14*x1^2*x2^-1*x3^2-4*q^13*x1^2*x2^-1*x3^2-8*q^12*x1^2*x2^-1*x3^2-6*q^11*x1^2*x2^-1*x3^2-2*q^10*x1^2*x2^-1*x3^2+8*q^9*x1^2*x2^-1*x3^2+12*q^8*x1^2*x2^-1*x3^2+8*q^7*x1^2*x2^-1*x3^2-6*q^5*x1^2*x2^-1*x3^2-2*q^4*x1^2*x2^-1*x3^2-q^5*x1^2+2*q^10*x1^2*x3+4*q^9*x1^2*x3+6*q^8*x1^2*x3+2*q^7*x1^2*x3-4*q^6*x1^2*x3-8*q^5*x1^2*x3-4*q^4*x1^2*x3+2*q^3*x1^2*x3+2*q^2*x1^2*x3-3*q^16*x1^2*x3^2-7*q^15*x1^2*x3^2-17*q^14*x1^2*x3^2-20*q^13*x1^2*x3^2-20*q^12*x1^2*x3^2+23*q^10*x1^2*x3^2+43*q^9*x1^2*x3^2+38*q^8*x1^2*x3^2+9*q^7*x1^2*x3^2-17*q^6*x1^2*x3^2-27*q^5*x1^2*x3^2-10*q^4*x1^2*x3^2+q^3*x1^2*x3^2+3*q^2*x1^2*x3^2+q*x1^2*x3^2-2*q^7*x1^2*x2-2*q^6*x1^2*x2-2*q^5*x1^2*x2+2*q^4*x1^2*x2+2*q^3*x1^2*x2+3*q^12*x1^2*x2*x3+7*q^11*x1^2*x2*x3+14*q^10*x1^2*x2*x3+13*q^9*x1^2*x2*x3+5*q^8*x1^2*x2*x3-14*q^7*x1^2*x2*x3-26*q^6*x1^2*x2*x3-20*q^5*x1^2*x2*x3+14*q^3*x1^2*x2*x3+8*q^2*x1^2*x2*x3-x1^2*x2*x3-4*q^18*x1^2*x2*x3^2-10*q^17*x1^2*x2*x3^2-26*q^16*x1^2*x2*x3^2-38*q^15*x1^2*x2*x3^2-50*q^14*x1^2*x2*x3^2-34*q^13*x1^2*x2*x3^2+60*q^11*x1^2*x2*x3^2+104*q^10*x1^2*x2*x3^2+108*q^9*x1^2*x2*x3^2+56*q^8*x1^2*x2*x3^2-28*q^7*x1^2*x2*x3^2-78*q^6*x1^2*x2*x3^2-78*q^5*x1^2*x2*x3^2-24*q^4*x1^2*x2*x3^2+12*q^3*x1^2*x2*x3^2+18*q^2*x1^2*x2*x3^2+8*q*x1^2*x2*x3^2-3*q^9*x1^2*x2^2-4*q^8*x1^2*x2^2-7*q^7*x1^2*x2^2-q^6*x1^2*x2^2+4*q^5*x1^2*x2^2+8*q^4*x1^2*x2^2+4*q^3*x1^2*x2^2-3*q^2*x1^2*x2^2-q*x1^2*x2^2+4*q^14*x1^2*x2^2*x3+10*q^13*x1^2*x2^2*x3+22*q^12*x1^2*x2^2*x3+28*q^11*x1^2*x2^2*x3+26*q^10*x1^2*x2^2*x3+2*q^9*x1^2*x2^2*x3-32*q^8*x1^2*x2^2*x3-60*q^7*x1^2*x2^2*x3-54*q^6*x1^2*x2^2*x3-16*q^5*x1^2*x2^2*x3+26*q^4*x1^2*x2^2*x3+40*q^3*x1^2*x2^2*x3+18*q^2*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3-6*x1^2*x2^2*x3-2*q^-1*x1^2*x2^2*x3-5*q^20*x1^2*x2^2*x3^2-13*q^19*x1^2*x2^2*x3^2-35*q^18*x1^2*x2^2*x3^2-56*q^17*x1^2*x2^2*x3^2-85*q^16*x1^2*x2^2*x3^2-84*q^15*x1^2*x2^2*x3^2-60*q^14*x1^2*x2^2*x3^2+20*q^13*x1^2*x2^2*x3^2+118*q^12*x1^2*x2^2*x3^2+211*q^11*x1^2*x2^2*x3^2+231*q^10*x1^2*x2^2*x3^2+153*q^9*x1^2*x2^2*x3^2+7*q^8*x1^2*x2^2*x3^2-147*q^7*x1^2*x2^2*x3^2-201*q^6*x1^2*x2^2*x3^2-158*q^5*x1^2*x2^2*x3^2-35*q^4*x1^2*x2^2*x3^2+45*q^3*x1^2*x2^2*x3^2+59*q^2*x1^2*x2^2*x3^2+32*q*x1^2*x2^2*x3^2+4*x1^2*x2^2*x3^2-3*q^-1*x1^2*x2^2*x3^2-3*q^-2*x1^2*x2^2*x3^2
L9n28{1;0} 9 {-1,2,-1,2,-1,-3,-2,-2,-3} [[1, -1, 1, -1], [-1, 1, -1, 1, 1, 1, -1, 1, -1, -1], [-1, -1, -1, -1]] 1 -q^-1*x2*x3^-1+x2^2*x3^-2-2*q^-1*x2^2*x3^-1-q^-1*x1*x2*x3^-1-q*x1*x2^2*x3^-2+x1*x2^2*x3^-2+q^-1*x1*x2^2*x3^-2-2*q^-1*x1*x2^2*x3^-1-q^-1*x1^2*x2*x3^-1-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^-2-2*q^-1*x1^2*x2^2*x3^-1
L9n28{1;0} 9 {-1,2,-1,2,-1,-3,-2,-2,-3} [[-1, -1, 1, -1], [-1, -1, -1, 1, -1, 1, -1, -1, -1, -1], [-1, 1, 1, 1]] 1 -q^2*x2^-2*x3^2+x2^-1*x3-2*q^2*x2^-1*x3^2-q^-1+2*x3-3*q^2*x3^2-2*q^-1*x2+3*x2*x3-4*q^2*x2*x3^2-3*q^-1*x2^2+4*x2^2*x3-5*q^2*x2^2*x3^2-q^6*x1*x2^-2*x3^2-q^5*x1*x2^-2*x3^2+q^3*x1*x2^-2*x3^2+q^3*x1*x2^-1*x3+q^2*x1*x2^-1*x3-q*x1*x2^-1*x3-2*q^7*x1*x2^-1*x3^2-4*q^6*x1*x2^-1*x3^2-2*q^5*x1*x2^-1*x3^2+2*q^4*x1*x2^-1*x3^2+4*q^3*x1*x2^-1*x3^2-q*x1+2*q^4*x1*x3+4*q^3*x1*x3-4*q*x1*x3-3*q^8*x1*x3^2-7*q^7*x1*x3^2-8*q^6*x1*x3^2-q^5*x1*x3^2+9*q^4*x1*x3^2+10*q^3*x1*x3^2-2*q*x1*x3^2-x1*x3^2-2*q^2*x1*x2-2*q*x1*x2+2*x1*x2+3*q^5*x1*x2*x3+7*q^4*x1*x2*x3+5*q^3*x1*x2*x3-4*q^2*x1*x2*x3-10*q*x1*x2*x3+2*q^-1*x1*x2*x3-4*q^9*x1*x2*x3^2-10*q^8*x1*x2*x3^2-14*q^7*x1*x2*x3^2-10*q^6*x1*x2*x3^2+6*q^5*x1*x2*x3^2+20*q^4*x1*x2*x3^2+20*q^3*x1*x2*x3^2-8*q*x1*x2*x3^2-4*x1*x2*x3^2-3*q^3*x1*x2^2-4*q^2*x1*x2^2+4*x1*x2^2+4*q^6*x1*x2^2*x3+10*q^5*x1*x2^2*x3+10*q^4*x1*x2^2*x3+2*q^3*x1*x2^2*x3-12*q^2*x1*x2^2*x3-16*q*x1*x2^2*x3+4*q^-1*x1*x2^2*x3+2*q^-2*x1*x2^2*x3-5*q^10*x1*x2^2*x3^2-13*q^9*x1*x2^2*x3^2-20*q^8*x1*x2^2*x3^2-19*q^7*x1*x2^2*x3^2-5*q^6*x1*x2^2*x3^2+18*q^5*x1*x2^2*x3^2+36*q^4*x1*x2^2*x3^2+30*q^3*x1*x2^2*x3^2-14*q*x1*x2^2*x3^2-12*x1*x2^2*x3^2-2*q^-1*x1*x2^2*x3^2+q^-2*x1*x2^2*x3^2-q^12*x1^2*x2^-2*x3^2-q^11*x1^2*x2^-2*x3^2-2*q^10*x1^2*x2^-2*x3^2+q^8*x1^2*x2^-2*x3^2+2*q^7*x1^2*x2^-2*x3^2+q^6*x1^2*x2^-2*x3^2-q^5*x1^2*x2^-2*x3^2+q^8*x1^2*x2^-1*x3+q^7*x1^2*x2^-1*x3+q^6*x1^2*x2^-1*x3-q^5*x1^2*x2^-1*x3-q^4*x1^2*x2^-1*x3-2*q^14*x1^2*x2^-1*x3^2-4*q^13*x1^2*x2^-1*x3^2-8*q^12*x1^2*x2^-1*x3^2-6*q^11*x1^2*x2^-1*x3^2-2*q^10*x1^2*x2^-1*x3^2+8*q^9*x1^2*x2^-1*x3^2+12*q^8*x1^2*x2^-1*x3^2+8*q^7*x1^2*x2^-1*x3^2-6*q^5*x1^2*x2^-1*x3^2-2*q^4*x1^2*x2^-1*x3^2-q^5*x1^2+2*q^10*x1^2*x3+4*q^9*x1^2*x3+6*q^8*x1^2*x3+2*q^7*x1^2*x3-4*q^6*x1^2*x3-8*q^5*x1^2*x3-4*q^4*x1^2*x3+2*q^3*x1^2*x3+2*q^2*x1^2*x3-3*q^16*x1^2*x3^2-7*q^15*x1^2*x3^2-17*q^14*x1^2*x3^2-20*q^13*x1^2*x3^2-20*q^12*x1^2*x3^2+23*q^10*x1^2*x3^2+43*q^9*x1^2*x3^2+38*q^8*x1^2*x3^2+9*q^7*x1^2*x3^2-17*q^6*x1^2*x3^2-27*q^5*x1^2*x3^2-10*q^4*x1^2*x3^2+q^3*x1^2*x3^2+3*q^2*x1^2*x3^2+q*x1^2*x3^2-2*q^7*x1^2*x2-2*q^6*x1^2*x2-2*q^5*x1^2*x2+2*q^4*x1^2*x2+2*q^3*x1^2*x2+3*q^12*x1^2*x2*x3+7*q^11*x1^2*x2*x3+14*q^10*x1^2*x2*x3+13*q^9*x1^2*x2*x3+5*q^8*x1^2*x2*x3-14*q^7*x1^2*x2*x3-26*q^6*x1^2*x2*x3-20*q^5*x1^2*x2*x3+14*q^3*x1^2*x2*x3+8*q^2*x1^2*x2*x3-x1^2*x2*x3-4*q^18*x1^2*x2*x3^2-10*q^17*x1^2*x2*x3^2-26*q^16*x1^2*x2*x3^2-38*q^15*x1^2*x2*x3^2-50*q^14*x1^2*x2*x3^2-34*q^13*x1^2*x2*x3^2+60*q^11*x1^2*x2*x3^2+104*q^10*x1^2*x2*x3^2+108*q^9*x1^2*x2*x3^2+56*q^8*x1^2*x2*x3^2-28*q^7*x1^2*x2*x3^2-78*q^6*x1^2*x2*x3^2-78*q^5*x1^2*x2*x3^2-24*q^4*x1^2*x2*x3^2+12*q^3*x1^2*x2*x3^2+18*q^2*x1^2*x2*x3^2+8*q*x1^2*x2*x3^2-3*q^9*x1^2*x2^2-4*q^8*x1^2*x2^2-7*q^7*x1^2*x2^2-q^6*x1^2*x2^2+4*q^5*x1^2*x2^2+8*q^4*x1^2*x2^2+4*q^3*x1^2*x2^2-3*q^2*x1^2*x2^2-q*x1^2*x2^2+4*q^14*x1^2*x2^2*x3+10*q^13*x1^2*x2^2*x3+22*q^12*x1^2*x2^2*x3+28*q^11*x1^2*x2^2*x3+26*q^10*x1^2*x2^2*x3+2*q^9*x1^2*x2^2*x3-32*q^8*x1^2*x2^2*x3-60*q^7*x1^2*x2^2*x3-54*q^6*x1^2*x2^2*x3-16*q^5*x1^2*x2^2*x3+26*q^4*x1^2*x2^2*x3+40*q^3*x1^2*x2^2*x3+18*q^2*x1^2*x2^2*x3-2*q*x1^2*x2^2*x3-6*x1^2*x2^2*x3-2*q^-1*x1^2*x2^2*x3-5*q^20*x1^2*x2^2*x3^2-13*q^19*x1^2*x2^2*x3^2-35*q^18*x1^2*x2^2*x3^2-56*q^17*x1^2*x2^2*x3^2-85*q^16*x1^2*x2^2*x3^2-84*q^15*x1^2*x2^2*x3^2-60*q^14*x1^2*x2^2*x3^2+20*q^13*x1^2*x2^2*x3^2+118*q^12*x1^2*x2^2*x3^2+211*q^11*x1^2*x2^2*x3^2+231*q^10*x1^2*x2^2*x3^2+153*q^9*x1^2*x2^2*x3^2+7*q^8*x1^2*x2^2*x3^2-147*q^7*x1^2*x2^2*x3^2-201*q^6*x1^2*x2^2*x3^2-158*q^5*x1^2*x2^2*x3^2-35*q^4*x1^2*x2^2*x3^2+45*q^3*x1^2*x2^2*x3^2+59*q^2*x1^2*x2^2*x3^2+32*q*x1^2*x2^2*x3^2+4*x1^2*x2^2*x3^2-3*q^-1*x1^2*x2^2*x3^2-3*q^-2*x1^2*x2^2*x3^2
L9n28{1;0} 9 {-1,2,-1,2,-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) -q^-1*x2*x3^-1+x2^2*x3^-2-2*q^-1*x2^2*x3^-1-q^-1*x1*x2*x3^-1-q*x1*x2^2*x3^-2+x1*x2^2*x3^-2+q^-1*x1*x2^2*x3^-2-2*q^-1*x1*x2^2*x3^-1-q^-1*x1^2*x2*x3^-1-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^-2-2*q^-1*x1^2*x2^2*x3^-1
L9n28{1;1} 9 {-1,2,-1,2,-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) -q*x2-2*q*x2^2+q^2*x2^2*x3-q*x1*x2-2*q*x1*x2^2-q^3*x1*x2^2*x3+q^2*x1*x2^2*x3+q*x1*x2^2*x3-q*x1^2*x2-2*q*x1^2*x2^2-q^4*x1^2*x2^2*x3-q^3*x1^2*x2^2*x3+q^2*x1^2*x2^2*x3+q*x1^2*x2^2*x3+x1^2*x2^2*x3
L9n28{1;1} 9 {-1,2,-1,2,-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) -q*x2-2*q*x2^2+q^2*x2^2*x3-q*x1*x2-2*q*x1*x2^2-q^3*x1*x2^2*x3+q^2*x1*x2^2*x3+q*x1*x2^2*x3-q*x1^2*x2-2*q*x1^2*x2^2-q^4*x1^2*x2^2*x3-q^3*x1^2*x2^2*x3+q^2*x1^2*x2^2*x3+q*x1^2*x2^2*x3+x1^2*x2^2*x3
L9n3{0} 10 {2,-1,-2,3,-2,-3,-3,-1,2,-1} [[1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1], [1, -1, 1, -1]] x1^(1/2)*x2^(1/2) -q^-1-q^3*x2-q^11*x2^2-q^-1*x1-q^4*x1*x2-q^3*x1*x2+q^2*x1*x2-q^13*x1*x2^2-q^12*x1*x2^2-q^11*x1*x2^2+q^10*x1*x2^2+q^9*x1*x2^2-q^-1*x1^2-q^5*x1^2*x2-q^4*x1^2*x2-q^3*x1^2*x2+q^2*x1^2*x2+q*x1^2*x2-q^15*x1^2*x2^2-q^14*x1^2*x2^2-2*q^13*x1^2*x2^2-q^12*x1^2*x2^2+2*q^10*x1^2*x2^2+2*q^9*x1^2*x2^2
L9n3{0} 10 {2,-1,-2,3,-2,-3,-3,-1,2,-1} [[-1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1], [1, -1, -1, -1]] x1^(1/2)*x2^(1/2) -q^-1-q^3*x2-q^11*x2^2-q^-1*x1-q^4*x1*x2-q^3*x1*x2+q^2*x1*x2-q^13*x1*x2^2-q^12*x1*x2^2-q^11*x1*x2^2+q^10*x1*x2^2+q^9*x1*x2^2-q^-1*x1^2-q^5*x1^2*x2-q^4*x1^2*x2-q^3*x1^2*x2+q^2*x1^2*x2+q*x1^2*x2-q^15*x1^2*x2^2-q^14*x1^2*x2^2-2*q^13*x1^2*x2^2-q^12*x1^2*x2^2+2*q^10*x1^2*x2^2+2*q^9*x1^2*x2^2
L9n3{1} 10 {2,-1,-2,3,-2,-3,-3,-1,2,-1} [[1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1], [1, -1, 1, -1]] x1^(1/2)*x2^(1/2) -q^-1-q^3*x2-q^11*x2^2-q^-1*x1-q^4*x1*x2-q^3*x1*x2+q^2*x1*x2-q^13*x1*x2^2-q^12*x1*x2^2-q^11*x1*x2^2+q^10*x1*x2^2+q^9*x1*x2^2-q^-1*x1^2-q^5*x1^2*x2-q^4*x1^2*x2-q^3*x1^2*x2+q^2*x1^2*x2+q*x1^2*x2-q^15*x1^2*x2^2-q^14*x1^2*x2^2-2*q^13*x1^2*x2^2-q^12*x1^2*x2^2+2*q^10*x1^2*x2^2+2*q^9*x1^2*x2^2
L9n3{1} 10 {2,-1,-2,3,-2,-3,-3,-1,2,-1} [[-1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1], [1, -1, -1, -1]] 1 -q^-1-q^3*x2-q^11*x2^2-q^-1*x1-q^4*x1*x2-q^3*x1*x2+q^2*x1*x2-q^13*x1*x2^2-q^12*x1*x2^2-q^11*x1*x2^2+q^10*x1*x2^2+q^9*x1*x2^2-q^-1*x1^2-q^5*x1^2*x2-q^4*x1^2*x2-q^3*x1^2*x2+q^2*x1^2*x2+q*x1^2*x2-q^15*x1^2*x2^2-q^14*x1^2*x2^2-2*q^13*x1^2*x2^2-q^12*x1^2*x2^2+2*q^10*x1^2*x2^2+2*q^9*x1^2*x2^2
L9n4{0} 9 {-1,-2,-1,-2,-1,-2,-2,-2,-2} [[1, -1, -1, -1], [-1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1]] 1 -q^-4*x2^2
L9n4{0} 9 {-1,-2,-1,-2,-1,-2,-2,-2,-2} [[-1, -1, -1, -1], [-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1]] 1 -q^-4*x2^2
L9n4{1} 9 {1,2,-1,2,1,-2,-2,-2,-2} [[1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]] x1^(1/2)*x2^(1/2) -q^-2*x2^-3+q^-7*x1*x2^-8-q^-17*x1^2*x2^-13
L9n4{1} 9 {1,2,-1,2,1,-2,-2,-2,-2} [[1, 1, 1, 1], [1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1]] x1^(1/2)*x2^(1/2) -q^-2*x1^-1*x2^2
L9n4{1} 9 {1,2,-1,2,1,-2,-2,-2,-2} [[-1, 1, 1, 1], [1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1]] x1^(1/2)*x2^(1/2) -q^-2*x1^-1*x2^2
L9n5{0} 9 {-1,2,-1,-2,1,-2,-2,-2,-2} [[1, -1, 1, 1], [-1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1]] 1 -q^-2*x2-q^-2*x2^2-x1*x2-q*x1*x2^2-x1*x2^2+q^-1*x1*x2^2-q^4*x1^2*x2-q^6*x1^2*x2^2-q^5*x1^2*x2^2-q^4*x1^2*x2^2+q^3*x1^2*x2^2+q^2*x1^2*x2^2
L9n5{0} 9 {-1,2,-1,-2,1,-2,-2,-2,-2} [[-1, -1, 1, 1], [-1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1]] x1^(1/2)*x2^(1/2) -q^-2*x2-q^-2*x2^2-x1*x2-q*x1*x2^2-x1*x2^2+q^-1*x1*x2^2-q^4*x1^2*x2-q^6*x1^2*x2^2-q^5*x1^2*x2^2-q^4*x1^2*x2^2+q^3*x1^2*x2^2+q^2*x1^2*x2^2
L9n5{1} 9 {-1,2,-1,-2,1,-2,-2,-2,-2} [[1, -1, 1, 1], [-1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1]] x1^(1/2)*x2^(1/2) -q^-2*x2-q^-2*x2^2-x1*x2-q*x1*x2^2-x1*x2^2+q^-1*x1*x2^2-q^4*x1^2*x2-q^6*x1^2*x2^2-q^5*x1^2*x2^2-q^4*x1^2*x2^2+q^3*x1^2*x2^2+q^2*x1^2*x2^2
L9n5{1} 9 {-1,2,-1,-2,1,-2,-2,-2,-2} [[-1, -1, 1, 1], [-1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1]] x1^(1/2)*x2^(1/2) -q^-2*x2-q^-2*x2^2-x1*x2-q*x1*x2^2-x1*x2^2+q^-1*x1*x2^2-q^4*x1^2*x2-q^6*x1^2*x2^2-q^5*x1^2*x2^2-q^4*x1^2*x2^2+q^3*x1^2*x2^2+q^2*x1^2*x2^2
L9n6{0} 9 {-1,2,-1,2,-1,-2,-2,-2,-2} [[1, -1, 1, -1], [-1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1]] x1^(1/2)*x2^(1/2) -q^-2*x2-2*q^-2*x2^2-x1*x2-2*q*x1*x2^2-2*x1*x2^2+2*q^-1*x1*x2^2-q^4*x1^2*x2-2*q^6*x1^2*x2^2-2*q^5*x1^2*x2^2-2*q^4*x1^2*x2^2+2*q^3*x1^2*x2^2+2*q^2*x1^2*x2^2
L9n6{0} 9 {-1,2,-1,2,-1,-2,-2,-2,-2} [[-1, -1, 1, -1], [-1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1]] 1 -q^-2*x2-2*q^-2*x2^2-x1*x2-2*q*x1*x2^2-2*x1*x2^2+2*q^-1*x1*x2^2-q^4*x1^2*x2-2*q^6*x1^2*x2^2-2*q^5*x1^2*x2^2-2*q^4*x1^2*x2^2+2*q^3*x1^2*x2^2+2*q^2*x1^2*x2^2
L9n6{1} 9 {-1,2,-1,2,-1,-2,-2,-2,-2} [[1, -1, 1, -1], [-1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1]] x1^(1/2)*x2^(1/2) -q^-2*x2-2*q^-2*x2^2-x1*x2-2*q*x1*x2^2-2*x1*x2^2+2*q^-1*x1*x2^2-q^4*x1^2*x2-2*q^6*x1^2*x2^2-2*q^5*x1^2*x2^2-2*q^4*x1^2*x2^2+2*q^3*x1^2*x2^2+2*q^2*x1^2*x2^2
L9n6{1} 9 {-1,2,-1,2,-1,-2,-2,-2,-2} [[-1, -1, 1, -1], [-1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1]] x1^(1/2)*x2^(1/2) -q^-2*x2-2*q^-2*x2^2-x1*x2-2*q*x1*x2^2-2*x1*x2^2+2*q^-1*x1*x2^2-q^4*x1^2*x2-2*q^6*x1^2*x2^2-2*q^5*x1^2*x2^2-2*q^4*x1^2*x2^2+2*q^3*x1^2*x2^2+2*q^2*x1^2*x2^2
L9n7{1} 12 {-2,3,3,2,-3,-3,1,-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, 1, 1, 1]] x1^(1/2)*x2^(1/2) -3*q^-4*x1^-2*x2^2-q^-5*x1^-2*x2^2+2*q^-2*x1^-1*x2-2*q^-2*x1^-1*x2^2-4*q^-3*x1^-1*x2^2-8*q^-4*x1^-1*x2^2-2*q^-5*x1^-1*x2^2-q^-1+2*q^-1*x2+4*q^-2*x2-2*x2^2-2*q^-1*x2^2-9*q^-2*x2^2-11*q^-3*x2^2-13*q^-4*x2^2+3*q^-6*x2^2+2*q^-7*x2^2-2*q^-1*x1+2*x1*x2+4*q^-1*x1*x2+6*q^-2*x1*x2-2*q^-3*x1*x2-q^-4*x1*x2-2*q^5*x1*x2^2-3*q^4*x1*x2^2-6*q^3*x1*x2^2-10*q^2*x1*x2^2-11*q*x1*x2^2-12*x1*x2^2-15*q^-1*x1*x2^2-22*q^-2*x1*x2^2-19*q^-3*x1*x2^2-15*q^-4*x1*x2^2+7*q^-5*x1*x2^2+15*q^-6*x1*x2^2+9*q^-7*x1*x2^2+4*q^-8*x1*x2^2-3*q^-1*x1^2+q^-2*x1^2+2*q^4*x1^2*x2+3*q^3*x1^2*x2+4*q^2*x1^2*x2+6*q*x1^2*x2+4*x1^2*x2+5*q^-1*x1^2*x2+6*q^-2*x1^2*x2-6*q^-3*x1^2*x2-6*q^-4*x1^2*x2-2*q^-5*x1^2*x2-3*q^9*x1^2*x2^2-7*q^8*x1^2*x2^2-17*q^7*x1^2*x2^2-27*q^6*x1^2*x2^2-47*q^5*x1^2*x2^2-64*q^4*x1^2*x2^2-80*q^3*x1^2*x2^2-91*q^2*x1^2*x2^2-91*q*x1^2*x2^2-90*x1^2*x2^2-81*q^-1*x1^2*x2^2-71*q^-2*x1^2*x2^2-47*q^-3*x1^2*x2^2-26*q^-4*x1^2*x2^2+17*q^-5*x1^2*x2^2+34*q^-6*x1^2*x2^2+29*q^-7*x1^2*x2^2+16*q^-8*x1^2*x2^2+5*q^-9*x1^2*x2^2
L9n7{1} 12 {-2,3,3,2,-3,-3,1,-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, 1, 1, -1]] x1^(1/2)*x2^(1/2) -3*q^-4*x1^-2*x2^2-q^-5*x1^-2*x2^2+2*q^-2*x1^-1*x2-2*q^-2*x1^-1*x2^2-4*q^-3*x1^-1*x2^2-8*q^-4*x1^-1*x2^2-2*q^-5*x1^-1*x2^2-q^-1+2*q^-1*x2+4*q^-2*x2-2*x2^2-2*q^-1*x2^2-9*q^-2*x2^2-11*q^-3*x2^2-13*q^-4*x2^2+3*q^-6*x2^2+2*q^-7*x2^2-2*q^-1*x1+2*x1*x2+4*q^-1*x1*x2+6*q^-2*x1*x2-2*q^-3*x1*x2-q^-4*x1*x2-2*q^2*x1*x2^2-2*q*x1*x2^2-6*x1*x2^2-10*q^-1*x1*x2^2-20*q^-2*x1*x2^2-16*q^-3*x1*x2^2-12*q^-4*x1*x2^2+10*q^-5*x1*x2^2+16*q^-6*x1*x2^2+10*q^-7*x1*x2^2+4*q^-8*x1*x2^2-3*q^-1*x1^2+q^-2*x1^2+2*q*x1^2*x2+4*x1^2*x2+6*q^-1*x1^2*x2+6*q^-2*x1^2*x2-6*q^-3*x1^2*x2-6*q^-4*x1^2*x2-2*q^-5*x1^2*x2-2*q^4*x1^2*x2^2-2*q^3*x1^2*x2^2-6*q^2*x1^2*x2^2-6*q*x1^2*x2^2-17*x1^2*x2^2-21*q^-1*x1^2*x2^2-27*q^-2*x1^2*x2^2-12*q^-3*x1^2*x2^2+4*q^-4*x1^2*x2^2+38*q^-5*x1^2*x2^2+45*q^-6*x1^2*x2^2+32*q^-7*x1^2*x2^2+14*q^-8*x1^2*x2^2+2*q^-9*x1^2*x2^2-2*q^-10*x1^2*x2^2-q^-11*x1^2*x2^2
L9n8{0} 10 {2,-1,2,-1,-2,-3,-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*x2^2-2*q^-2*x1^2-2*q^-1*x1^2*x2-2*q^-2*x1^2*x2+2*q^-3*x1^2*x2-2*x1^2*x2^2-2*q^-1*x1^2*x2^2-2*q^-2*x1^2*x2^2+2*q^-3*x1^2*x2^2+2*q^-4*x1^2*x2^2
L9n8{0} 10 {2,-1,2,-1,-2,-3,-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*x2^2-2*q^-2*x1^2-2*q^-1*x1^2*x2-2*q^-2*x1^2*x2+2*q^-3*x1^2*x2-2*x1^2*x2^2-2*q^-1*x1^2*x2^2-2*q^-2*x1^2*x2^2+2*q^-3*x1^2*x2^2+2*q^-4*x1^2*x2^2
L9n8{1} 10 {2,-1,2,-1,-2,-3,-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*x2^2-2*q^-2*x1^2-2*q^-1*x1^2*x2-2*q^-2*x1^2*x2+2*q^-3*x1^2*x2-2*x1^2*x2^2-2*q^-1*x1^2*x2^2-2*q^-2*x1^2*x2^2+2*q^-3*x1^2*x2^2+2*q^-4*x1^2*x2^2
L9n8{1} 10 {2,-1,2,-1,-2,-3,-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*x2^2-2*q^-2*x1^2-2*q^-1*x1^2*x2-2*q^-2*x1^2*x2+2*q^-3*x1^2*x2-2*x1^2*x2^2-2*q^-1*x1^2*x2^2-2*q^-2*x1^2*x2^2+2*q^-3*x1^2*x2^2+2*q^-4*x1^2*x2^2
L9n9{0} 10 {-1,-2,-2,-3,-1,-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^-3*x1+q^-3*x1*x2-q^-2*x1*x2^2-q^-4*x1^2*x2+q^-3*x1^2*x2^2+q^-4*x1^2*x2^2
L9n9{0} 10 {-1,-2,-2,-3,-1,-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^-3*x1+q^-3*x1*x2-q^-2*x1*x2^2-q^-4*x1^2*x2+q^-3*x1^2*x2^2+q^-4*x1^2*x2^2
L9n9{1} 10 {-2,-2,3,-2,-3,1,2,2,-3,1} [[1, 1, 1, 1], [1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1]] x1^(1/2)*x2^(1/2) -x2-x2^2+q^2*x1*x2+q^3*x1*x2^2+q^2*x1*x2^2-q^5*x1^2*x2-q^7*x1^2*x2^2-q^6*x1^2*x2^2-q^5*x1^2*x2^2
L9n9{1} 10 {-2,-2,3,-2,-3,1,2,2,-3,1} [[-1, 1, 1, 1], [1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1]] x1^(1/2)*x2^(1/2) -x2-x2^2+q^2*x1*x2+q^3*x1*x2^2+q^2*x1*x2^2-q^5*x1^2*x2-q^7*x1^2*x2^2-q^6*x1^2*x2^2-q^5*x1^2*x2^2

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

First page

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.