K13n1531
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Polynomial invariants
| Jones polynomial | Data:K13n1531/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^3+9 t^2-14 t+17-14 t^{-1} +9 t^{-2} -4 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1531/Conway Polynomial |
| Determinant | 73 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +6 z^6 a^{-2} -z^6 a^{-4} -z^6+13 z^4 a^{-2} -4 z^4 a^{-4} -4 z^4+12 z^2 a^{-2} -5 z^2 a^{-4} -5 z^2+4 a^{-2} -2 a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +4 z^{10} a^{-2} +3 z^{10} a^{-4} +z^{10}-4 z^9 a^{-1} +4 z^9 a^{-5} -18 z^8 a^{-2} -10 z^8 a^{-4} +3 z^8 a^{-6} -5 z^8+a z^7+8 z^7 a^{-1} -9 z^7 a^{-3} -15 z^7 a^{-5} +z^7 a^{-7} +33 z^6 a^{-2} +8 z^6 a^{-4} -12 z^6 a^{-6} +13 z^6-a z^5-8 z^5 a^{-1} +10 z^5 a^{-3} +13 z^5 a^{-5} -4 z^5 a^{-7} +2 a^2 z^4-34 z^4 a^{-2} -7 z^4 a^{-4} +12 z^4 a^{-6} -13 z^4+a^3 z^3+4 a z^3+5 z^3 a^{-1} -5 z^3 a^{-3} -3 z^3 a^{-5} +4 z^3 a^{-7} -a^2 z^2+18 z^2 a^{-2} +6 z^2 a^{-4} -3 z^2 a^{-6} +8 z^2-a^3 z-2 a z-z a^{-1} +z a^{-3} -z a^{-7} -4 a^{-2} -2 a^{-4} -1 }[/math] |
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