K13n1252
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Polynomial invariants
| Jones polynomial | Data:K13n1252/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+13 t^2-20 t+23-20 t^{-1} +13 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1252/Conway Polynomial |
| Determinant | 101 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -3 z^4 a^{-2} +9 z^4 a^{-4} -3 z^4 a^{-6} -2 z^2 a^{-2} +8 z^2 a^{-4} -3 z^2 a^{-6} +3 a^{-4} -2 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +4 z^{10} a^{-4} +6 z^{10} a^{-6} +2 z^{10} a^{-8} +6 z^9 a^{-3} +7 z^9 a^{-5} +2 z^9 a^{-7} +z^9 a^{-9} +4 z^8 a^{-2} -7 z^8 a^{-4} -19 z^8 a^{-6} -8 z^8 a^{-8} +z^7 a^{-1} -20 z^7 a^{-3} -35 z^7 a^{-5} -19 z^7 a^{-7} -5 z^7 a^{-9} -14 z^6 a^{-2} -13 z^6 a^{-4} +14 z^6 a^{-6} +13 z^6 a^{-8} -3 z^5 a^{-1} +15 z^5 a^{-3} +39 z^5 a^{-5} +34 z^5 a^{-7} +13 z^5 a^{-9} +13 z^4 a^{-2} +21 z^4 a^{-4} +3 z^4 a^{-6} -3 z^4 a^{-8} +2 z^4 a^{-10} +2 z^3 a^{-1} -4 z^3 a^{-3} -16 z^3 a^{-5} -18 z^3 a^{-7} -8 z^3 a^{-9} -4 z^2 a^{-2} -11 z^2 a^{-4} -6 z^2 a^{-6} -z^2 a^{-10} +z a^{-3} +z a^{-5} +2 z a^{-7} +2 z a^{-9} +3 a^{-4} +2 a^{-6} }[/math] |
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