K13n255
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Polynomial invariants
| Jones polynomial | Data:K13n255/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+13 t^2-20 t+23-20 t^{-1} +13 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n255/Conway Polynomial |
| Determinant | 101 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -z^6 a^{-4} +6 z^6 a^{-6} -2 z^6 a^{-8} -3 z^4 a^{-4} +14 z^4 a^{-6} -9 z^4 a^{-8} +z^4 a^{-10} -z^2 a^{-4} +14 z^2 a^{-6} -13 z^2 a^{-8} +3 z^2 a^{-10} + a^{-4} +4 a^{-6} -6 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +6 z^{10} a^{-8} +3 z^{10} a^{-10} +2 z^9 a^{-5} +2 z^9 a^{-7} +4 z^9 a^{-9} +4 z^9 a^{-11} -15 z^8 a^{-6} -26 z^8 a^{-8} -7 z^8 a^{-10} +4 z^8 a^{-12} -8 z^7 a^{-5} -23 z^7 a^{-7} -28 z^7 a^{-9} -10 z^7 a^{-11} +3 z^7 a^{-13} +4 z^6 a^{-4} +35 z^6 a^{-6} +47 z^6 a^{-8} +5 z^6 a^{-10} -10 z^6 a^{-12} +z^6 a^{-14} +z^5 a^{-3} +16 z^5 a^{-5} +55 z^5 a^{-7} +57 z^5 a^{-9} +8 z^5 a^{-11} -9 z^5 a^{-13} -11 z^4 a^{-4} -38 z^4 a^{-6} -35 z^4 a^{-8} -z^4 a^{-10} +4 z^4 a^{-12} -3 z^4 a^{-14} -3 z^3 a^{-3} -16 z^3 a^{-5} -42 z^3 a^{-7} -43 z^3 a^{-9} -8 z^3 a^{-11} +6 z^3 a^{-13} +4 z^2 a^{-4} +20 z^2 a^{-6} +20 z^2 a^{-8} +z^2 a^{-10} -z^2 a^{-12} +2 z^2 a^{-14} +z a^{-3} +3 z a^{-5} +11 z a^{-7} +13 z a^{-9} +3 z a^{-11} -z a^{-13} + a^{-4} -4 a^{-6} -6 a^{-8} -2 a^{-10} }[/math] |
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