K13n3115
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Polynomial invariants
| Jones polynomial | Data:K13n3115/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^3+9 t^2-11 t+11-11 t^{-1} +9 t^{-2} -4 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3115/Conway Polynomial |
| Determinant | 61 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +5 z^6 a^{-4} -3 z^4 a^{-2} +7 z^4 a^{-4} +2 z^4 a^{-6} -z^4 a^{-8} -z^2 a^{-2} +2 z^2 a^{-4} +7 z^2 a^{-6} -3 z^2 a^{-8} + a^{-2} -2 a^{-4} +5 a^{-6} -3 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-4} +2 z^{10} a^{-6} +5 z^9 a^{-3} +7 z^9 a^{-5} +2 z^9 a^{-7} +4 z^8 a^{-2} -z^8 a^{-4} -8 z^8 a^{-6} -2 z^8 a^{-8} +z^8 a^{-10} +z^7 a^{-1} -18 z^7 a^{-3} -27 z^7 a^{-5} -11 z^7 a^{-7} -2 z^7 a^{-9} +z^7 a^{-11} -15 z^6 a^{-2} -16 z^6 a^{-4} +16 z^6 a^{-6} +10 z^6 a^{-8} -7 z^6 a^{-10} -3 z^5 a^{-1} +14 z^5 a^{-3} +31 z^5 a^{-5} +25 z^5 a^{-7} +5 z^5 a^{-9} -6 z^5 a^{-11} +14 z^4 a^{-2} +14 z^4 a^{-4} -26 z^4 a^{-6} -15 z^4 a^{-8} +11 z^4 a^{-10} +2 z^3 a^{-1} -2 z^3 a^{-3} -18 z^3 a^{-5} -24 z^3 a^{-7} -z^3 a^{-9} +9 z^3 a^{-11} -2 z^2 a^{-2} +2 z^2 a^{-4} +19 z^2 a^{-6} +12 z^2 a^{-8} -3 z^2 a^{-10} +z a^{-3} +4 z a^{-5} +7 z a^{-7} +z a^{-9} -3 z a^{-11} - a^{-2} -2 a^{-4} -5 a^{-6} -3 a^{-8} }[/math] |
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