K13n1334
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Polynomial invariants
| Jones polynomial | Data:K13n1334/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-7 t^3+13 t^2-16 t+17-16 t^{-1} +13 t^{-2} -7 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1334/Conway Polynomial |
| Determinant | 93 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +z^8 a^{-4} +6 z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -z^6+14 z^4 a^{-2} +7 z^4 a^{-4} -5 z^4 a^{-6} -5 z^4+17 z^2 a^{-2} +2 z^2 a^{-4} -7 z^2 a^{-6} +z^2 a^{-8} -8 z^2+9 a^{-2} -2 a^{-4} -3 a^{-6} + a^{-8} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +7 z^{10} a^{-2} +5 z^{10} a^{-4} +2 z^{10}+a z^9+z^9 a^{-1} +10 z^9 a^{-3} +10 z^9 a^{-5} -33 z^8 a^{-2} -10 z^8 a^{-4} +11 z^8 a^{-6} -12 z^8-7 a z^7-29 z^7 a^{-1} -66 z^7 a^{-3} -37 z^7 a^{-5} +7 z^7 a^{-7} +45 z^6 a^{-2} -22 z^6 a^{-4} -40 z^6 a^{-6} +2 z^6 a^{-8} +25 z^6+18 a z^5+74 z^5 a^{-1} +112 z^5 a^{-3} +36 z^5 a^{-5} -20 z^5 a^{-7} -21 z^4 a^{-2} +43 z^4 a^{-4} +42 z^4 a^{-6} -22 z^4-20 a z^3-68 z^3 a^{-1} -77 z^3 a^{-3} -16 z^3 a^{-5} +17 z^3 a^{-7} +4 z^3 a^{-9} +12 z^2 a^{-2} -14 z^2 a^{-4} -19 z^2 a^{-6} -2 z^2 a^{-8} +z^2 a^{-10} +10 z^2+8 a z+22 z a^{-1} +23 z a^{-3} +5 z a^{-5} -6 z a^{-7} -2 z a^{-9} -9 a^{-2} -2 a^{-4} +3 a^{-6} + a^{-8} -4 }[/math] |
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