K13n2598
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Polynomial invariants
| Jones polynomial | Data:K13n2598/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-17 t^2+31 t-37+31 t^{-1} -17 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2598/Conway Polynomial |
| Determinant | 147 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-10 z^4 a^{-2} +3 z^4 a^{-4} +7 z^4-2 a^2 z^2-8 z^2 a^{-2} +3 z^2 a^{-4} +8 z^2-a^2- a^{-2} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +7 z^{10} a^{-2} +3 z^{10} a^{-4} +4 z^{10}+6 a z^9+12 z^9 a^{-1} +9 z^9 a^{-3} +3 z^9 a^{-5} +4 a^2 z^8-6 z^8 a^{-2} -z^8 a^{-4} +z^8 a^{-6} +a^3 z^7-16 a z^7-39 z^7 a^{-1} -26 z^7 a^{-3} -4 z^7 a^{-5} -13 a^2 z^6-24 z^6 a^{-2} -4 z^6 a^{-4} +3 z^6 a^{-6} -30 z^6-3 a^3 z^5+7 a z^5+27 z^5 a^{-1} +24 z^5 a^{-3} +11 z^5 a^{-5} +4 z^5 a^{-7} +13 a^2 z^4+34 z^4 a^{-2} +10 z^4 a^{-4} +z^4 a^{-8} +36 z^4+3 a^3 z^3+4 a z^3-4 z^3 a^{-1} -9 z^3 a^{-3} -8 z^3 a^{-5} -4 z^3 a^{-7} -5 a^2 z^2-16 z^2 a^{-2} -5 z^2 a^{-4} -z^2 a^{-6} -z^2 a^{-8} -16 z^2-a^3 z-2 a z-z a^{-1} +2 z a^{-3} +3 z a^{-5} +z a^{-7} +a^2+ a^{-2} +3 }[/math] |
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