K13a2280
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Polynomial invariants
| Jones polynomial | Data:K13a2280/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+8 t^3-14 t^2+17 t-17+17 t^{-1} -14 t^{-2} +8 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a2280/Conway Polynomial |
| Determinant | 99 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} -z^8 a^{-6} +z^6 a^{-2} -6 z^6 a^{-4} -5 z^6 a^{-6} +2 z^6 a^{-8} +5 z^4 a^{-2} -12 z^4 a^{-4} -7 z^4 a^{-6} +9 z^4 a^{-8} -z^4 a^{-10} +7 z^2 a^{-2} -10 z^2 a^{-4} -3 z^2 a^{-6} +10 z^2 a^{-8} -3 z^2 a^{-10} +3 a^{-2} -3 a^{-4} +2 a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-4} +z^{12} a^{-6} +2 z^{11} a^{-3} +5 z^{11} a^{-5} +3 z^{11} a^{-7} +z^{10} a^{-2} -3 z^{10} a^{-4} +z^{10} a^{-6} +5 z^{10} a^{-8} -15 z^9 a^{-3} -31 z^9 a^{-5} -9 z^9 a^{-7} +7 z^9 a^{-9} -8 z^8 a^{-2} -12 z^8 a^{-4} -27 z^8 a^{-6} -14 z^8 a^{-8} +9 z^8 a^{-10} +39 z^7 a^{-3} +62 z^7 a^{-5} -4 z^7 a^{-7} -18 z^7 a^{-9} +9 z^7 a^{-11} +23 z^6 a^{-2} +56 z^6 a^{-4} +59 z^6 a^{-6} -5 z^6 a^{-8} -24 z^6 a^{-10} +7 z^6 a^{-12} -41 z^5 a^{-3} -43 z^5 a^{-5} +20 z^5 a^{-7} -2 z^5 a^{-9} -19 z^5 a^{-11} +5 z^5 a^{-13} -29 z^4 a^{-2} -69 z^4 a^{-4} -39 z^4 a^{-6} +26 z^4 a^{-8} +14 z^4 a^{-10} -8 z^4 a^{-12} +3 z^4 a^{-14} +15 z^3 a^{-3} +6 z^3 a^{-5} -6 z^3 a^{-7} +16 z^3 a^{-9} +9 z^3 a^{-11} -3 z^3 a^{-13} +z^3 a^{-15} +16 z^2 a^{-2} +29 z^2 a^{-4} +6 z^2 a^{-6} -12 z^2 a^{-8} -4 z^2 a^{-10} -z^2 a^{-14} -z a^{-7} -3 z a^{-9} -2 z a^{-11} -3 a^{-2} -3 a^{-4} +2 a^{-8} + a^{-10} }[/math] |
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