K13n2578
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Polynomial invariants
| Jones polynomial | Data:K13n2578/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+8 t^3-13 t^2+15 t-15+15 t^{-1} -13 t^{-2} +8 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n2578/Conway Polynomial |
| Determinant | 91 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -5 z^6 a^{-6} -5 z^6 a^{-8} +z^6 a^{-10} +5 z^4 a^{-4} -8 z^4 a^{-6} -7 z^4 a^{-8} +5 z^4 a^{-10} +8 z^2 a^{-4} -7 z^2 a^{-6} -3 z^2 a^{-8} +6 z^2 a^{-10} -z^2 a^{-12} +4 a^{-4} -4 a^{-6} +2 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +5 z^{10} a^{-8} +3 z^{10} a^{-10} +2 z^9 a^{-5} +z^9 a^{-7} +2 z^9 a^{-9} +3 z^9 a^{-11} +z^8 a^{-4} -5 z^8 a^{-6} -16 z^8 a^{-8} -9 z^8 a^{-10} +z^8 a^{-12} -9 z^7 a^{-5} -13 z^7 a^{-7} -11 z^7 a^{-9} -7 z^7 a^{-11} -6 z^6 a^{-4} -7 z^6 a^{-6} +10 z^6 a^{-8} +15 z^6 a^{-10} +4 z^6 a^{-12} +11 z^5 a^{-5} +7 z^5 a^{-7} -z^5 a^{-9} +9 z^5 a^{-11} +6 z^5 a^{-13} +13 z^4 a^{-4} +23 z^4 a^{-6} -3 z^4 a^{-8} -24 z^4 a^{-10} -8 z^4 a^{-12} +3 z^4 a^{-14} -z^3 a^{-5} +11 z^3 a^{-7} +11 z^3 a^{-9} -8 z^3 a^{-11} -6 z^3 a^{-13} +z^3 a^{-15} -12 z^2 a^{-4} -16 z^2 a^{-6} +4 z^2 a^{-8} +14 z^2 a^{-10} +5 z^2 a^{-12} -z^2 a^{-14} -3 z a^{-5} -6 z a^{-7} -4 z a^{-9} +z a^{-11} +2 z a^{-13} +4 a^{-4} +4 a^{-6} -2 a^{-10} - a^{-12} }[/math] |
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