K13n1571
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Polynomial invariants
| Jones polynomial | Data:K13n1571/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+2 t^3+2 t^2-7 t+9-7 t^{-1} +2 t^{-2} +2 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1571/Conway Polynomial |
| Determinant | 21 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -7 z^6 a^{-6} +6 z^4 a^{-4} -15 z^4 a^{-6} +2 z^4 a^{-8} +z^4 a^{-10} +10 z^2 a^{-4} -13 z^2 a^{-6} +5 z^2 a^{-8} +z^2 a^{-10} +4 a^{-4} -5 a^{-6} +3 a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{-5} +z^9 a^{-11} +z^8 a^{-4} +2 z^8 a^{-6} +2 z^8 a^{-10} +3 z^8 a^{-12} -6 z^7 a^{-5} -z^7 a^{-7} +z^7 a^{-9} -z^7 a^{-11} +3 z^7 a^{-13} -7 z^6 a^{-4} -15 z^6 a^{-6} -4 z^6 a^{-8} -8 z^6 a^{-10} -11 z^6 a^{-12} +z^6 a^{-14} +9 z^5 a^{-5} -6 z^5 a^{-9} -8 z^5 a^{-11} -11 z^5 a^{-13} +16 z^4 a^{-4} +31 z^4 a^{-6} +13 z^4 a^{-8} +9 z^4 a^{-10} +8 z^4 a^{-12} -3 z^4 a^{-14} -2 z^3 a^{-5} +4 z^3 a^{-7} +9 z^3 a^{-9} +11 z^3 a^{-11} +8 z^3 a^{-13} -14 z^2 a^{-4} -22 z^2 a^{-6} -11 z^2 a^{-8} -5 z^2 a^{-10} -z^2 a^{-12} +z^2 a^{-14} -z a^{-5} -z a^{-7} -3 z a^{-9} -4 z a^{-11} -z a^{-13} +4 a^{-4} +5 a^{-6} +3 a^{-8} + a^{-10} }[/math] |
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