K13n1372
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Polynomial invariants
| Jones polynomial | Data:K13n1372/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^2-11 t+15-11 t^{-1} +4 t^{-2} }[/math] |
| Conway polynomial | Data:K13n1372/Conway Polynomial |
| Determinant | 45 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} +z^6 a^{-6} +z^4 a^{-2} -3 z^4 a^{-4} +8 z^4 a^{-6} -2 z^4 a^{-8} +z^2 a^{-2} -3 z^2 a^{-4} +15 z^2 a^{-6} -9 z^2 a^{-8} +z^2 a^{-10} - a^{-4} +8 a^{-6} -8 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +2 z^9 a^{-5} +2 z^9 a^{-7} +2 z^9 a^{-9} +2 z^9 a^{-11} +5 z^8 a^{-4} +5 z^8 a^{-6} -8 z^8 a^{-8} -7 z^8 a^{-10} +z^8 a^{-12} +4 z^7 a^{-3} -z^7 a^{-5} -11 z^7 a^{-7} -20 z^7 a^{-9} -14 z^7 a^{-11} +z^6 a^{-2} -14 z^6 a^{-4} -11 z^6 a^{-6} +20 z^6 a^{-8} +10 z^6 a^{-10} -6 z^6 a^{-12} -11 z^5 a^{-3} -7 z^5 a^{-5} +31 z^5 a^{-7} +55 z^5 a^{-9} +28 z^5 a^{-11} -2 z^4 a^{-2} +6 z^4 a^{-4} -2 z^4 a^{-6} -18 z^4 a^{-8} +z^4 a^{-10} +9 z^4 a^{-12} +5 z^3 a^{-3} -3 z^3 a^{-5} -40 z^3 a^{-7} -52 z^3 a^{-9} -20 z^3 a^{-11} +z^2 a^{-2} +z^2 a^{-4} +13 z^2 a^{-6} +15 z^2 a^{-8} -z^2 a^{-10} -3 z^2 a^{-12} +z a^{-3} +6 z a^{-5} +19 z a^{-7} +19 z a^{-9} +5 z a^{-11} - a^{-4} -8 a^{-6} -8 a^{-8} -2 a^{-10} }[/math] |
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