K13n131
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Polynomial invariants
| Jones polynomial | Data:K13n131/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+14 t^2-23 t+27-23 t^{-1} +14 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n131/Conway Polynomial |
| Determinant | 113 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -2 z^6 a^{-4} +6 z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} -8 z^4 a^{-4} +15 z^4 a^{-6} -4 z^4 a^{-8} +3 z^2 a^{-2} -10 z^2 a^{-4} +17 z^2 a^{-6} -6 z^2 a^{-8} +2 a^{-2} -4 a^{-4} +6 a^{-6} -3 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +z^{10} a^{-4} +4 z^{10} a^{-6} +3 z^{10} a^{-8} -4 z^9 a^{-5} +z^9 a^{-7} +5 z^9 a^{-9} -4 z^8 a^{-4} -14 z^8 a^{-6} -4 z^8 a^{-8} +6 z^8 a^{-10} +3 z^7 a^{-3} +16 z^7 a^{-5} +z^7 a^{-7} -7 z^7 a^{-9} +5 z^7 a^{-11} +z^6 a^{-2} +15 z^6 a^{-4} +36 z^6 a^{-6} +10 z^6 a^{-8} -9 z^6 a^{-10} +3 z^6 a^{-12} -9 z^5 a^{-3} -26 z^5 a^{-5} -2 z^5 a^{-7} +7 z^5 a^{-9} -7 z^5 a^{-11} +z^5 a^{-13} -4 z^4 a^{-2} -29 z^4 a^{-4} -50 z^4 a^{-6} -14 z^4 a^{-8} +6 z^4 a^{-10} -5 z^4 a^{-12} +7 z^3 a^{-3} +13 z^3 a^{-5} -2 z^3 a^{-7} -4 z^3 a^{-9} +2 z^3 a^{-11} -2 z^3 a^{-13} +5 z^2 a^{-2} +20 z^2 a^{-4} +29 z^2 a^{-6} +10 z^2 a^{-8} -2 z^2 a^{-10} +2 z^2 a^{-12} -z a^{-3} -2 z a^{-5} +z a^{-7} +z a^{-9} +z a^{-13} -2 a^{-2} -4 a^{-4} -6 a^{-6} -3 a^{-8} }[/math] |
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