K13n225
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Polynomial invariants
| Jones polynomial | Data:K13n225/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^3+7 t^2-11 t+13-11 t^{-1} +7 t^{-2} -3 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n225/Conway Polynomial |
| Determinant | 57 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -z^6 a^{-4} +7 z^6 a^{-6} -z^6 a^{-8} -4 z^4 a^{-4} +19 z^4 a^{-6} -6 z^4 a^{-8} -5 z^2 a^{-4} +23 z^2 a^{-6} -13 z^2 a^{-8} +z^2 a^{-10} -2 a^{-4} +10 a^{-6} -9 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +z^9 a^{-5} +3 z^9 a^{-7} +2 z^9 a^{-9} -5 z^8 a^{-6} -4 z^8 a^{-8} +z^8 a^{-10} -4 z^7 a^{-5} -13 z^7 a^{-7} -9 z^7 a^{-9} +3 z^6 a^{-4} +19 z^6 a^{-6} +16 z^6 a^{-8} +z^5 a^{-3} +13 z^5 a^{-5} +36 z^5 a^{-7} +28 z^5 a^{-9} +4 z^5 a^{-11} -8 z^4 a^{-4} -32 z^4 a^{-6} -24 z^4 a^{-8} +z^4 a^{-10} +z^4 a^{-12} -3 z^3 a^{-3} -19 z^3 a^{-5} -43 z^3 a^{-7} -33 z^3 a^{-9} -6 z^3 a^{-11} +6 z^2 a^{-4} +26 z^2 a^{-6} +21 z^2 a^{-8} -z^2 a^{-12} +2 z a^{-3} +8 z a^{-5} +18 z a^{-7} +14 z a^{-9} +2 z a^{-11} -2 a^{-4} -10 a^{-6} -9 a^{-8} -2 a^{-10} }[/math] |
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