K13n3635
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Polynomial invariants
| Jones polynomial | Data:K13n3635/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+2 t^3-3 t+5-3 t^{-1} +2 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3635/Conway Polynomial |
| Determinant | 5 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -7 z^6 a^{-6} +6 z^4 a^{-4} -16 z^4 a^{-6} +z^4 a^{-8} +z^4 a^{-10} +11 z^2 a^{-4} -16 z^2 a^{-6} +2 z^2 a^{-8} +2 z^2 a^{-10} +6 a^{-4} -7 a^{-6} + a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{-5} +z^9 a^{-11} +z^8 a^{-4} +3 z^8 a^{-6} +2 z^8 a^{-12} -5 z^7 a^{-5} +2 z^7 a^{-7} -z^7 a^{-9} -6 z^7 a^{-11} +2 z^7 a^{-13} -7 z^6 a^{-4} -19 z^6 a^{-6} -2 z^6 a^{-8} -9 z^6 a^{-12} +z^6 a^{-14} +4 z^5 a^{-5} -15 z^5 a^{-7} +2 z^5 a^{-9} +13 z^5 a^{-11} -8 z^5 a^{-13} +17 z^4 a^{-4} +35 z^4 a^{-6} +2 z^4 a^{-8} -2 z^4 a^{-10} +10 z^4 a^{-12} -4 z^4 a^{-14} +7 z^3 a^{-5} +25 z^3 a^{-7} -3 z^3 a^{-9} -15 z^3 a^{-11} +6 z^3 a^{-13} -17 z^2 a^{-4} -24 z^2 a^{-6} +z^2 a^{-8} +z^2 a^{-10} -4 z^2 a^{-12} +3 z^2 a^{-14} -7 z a^{-5} -10 z a^{-7} +2 z a^{-9} +5 z a^{-11} +6 a^{-4} +7 a^{-6} + a^{-8} - a^{-10} }[/math] |
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