K13n2372
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Polynomial invariants
| Jones polynomial | Data:K13n2372/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^2+13 t-21+13 t^{-1} -2 t^{-2} }[/math] |
| Conway polynomial | Data:K13n2372/Conway Polynomial |
| Determinant | 51 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{-6} -z^4 a^{-8} +z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-8} +2 z^2 a^{-10} +2 a^{-4} -2 a^{-8} +2 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +2 z^{10} a^{-8} +4 z^{10} a^{-10} +2 z^{10} a^{-12} +2 z^9 a^{-7} -3 z^9 a^{-9} -4 z^9 a^{-11} +z^9 a^{-13} +2 z^8 a^{-6} -8 z^8 a^{-8} -24 z^8 a^{-10} -14 z^8 a^{-12} +z^7 a^{-5} -5 z^7 a^{-7} -z^7 a^{-11} -7 z^7 a^{-13} -5 z^6 a^{-6} +10 z^6 a^{-8} +48 z^6 a^{-10} +33 z^6 a^{-12} -2 z^5 a^{-7} -2 z^5 a^{-9} +16 z^5 a^{-11} +16 z^5 a^{-13} +4 z^4 a^{-4} +2 z^4 a^{-6} -13 z^4 a^{-8} -41 z^4 a^{-10} -30 z^4 a^{-12} +2 z^3 a^{-3} -2 z^3 a^{-5} +4 z^3 a^{-7} +8 z^3 a^{-9} -13 z^3 a^{-11} -13 z^3 a^{-13} +z^2 a^{-2} -5 z^2 a^{-4} -2 z^2 a^{-6} +11 z^2 a^{-8} +16 z^2 a^{-10} +9 z^2 a^{-12} -z a^{-5} -z a^{-7} -z a^{-9} +2 z a^{-11} +3 z a^{-13} +2 a^{-4} -2 a^{-8} -2 a^{-10} - a^{-12} }[/math] |
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