K13n2714
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Polynomial invariants
| Jones polynomial | Data:K13n2714/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+3 t^4-3 t^3+2 t^2-1+2 t^{-2} -3 t^{-3} +3 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n2714/Conway Polynomial |
| Determinant | 17 |
| Signature | 8 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-8} +z^8 a^{-6} -9 z^8 a^{-8} +z^8 a^{-10} +8 z^6 a^{-6} -30 z^6 a^{-8} +8 z^6 a^{-10} +22 z^4 a^{-6} -48 z^4 a^{-8} +21 z^4 a^{-10} -z^4 a^{-12} +24 z^2 a^{-6} -39 z^2 a^{-8} +22 z^2 a^{-10} -3 z^2 a^{-12} +8 a^{-6} -13 a^{-8} +8 a^{-10} -2 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +z^{10} a^{-6} +4 z^{10} a^{-8} +3 z^{10} a^{-10} -7 z^9 a^{-7} -4 z^9 a^{-9} +3 z^9 a^{-11} -9 z^8 a^{-6} -32 z^8 a^{-8} -22 z^8 a^{-10} +z^8 a^{-12} +14 z^7 a^{-7} -7 z^7 a^{-9} -21 z^7 a^{-11} +30 z^6 a^{-6} +89 z^6 a^{-8} +53 z^6 a^{-10} -6 z^6 a^{-12} -3 z^5 a^{-7} +41 z^5 a^{-9} +44 z^5 a^{-11} -46 z^4 a^{-6} -108 z^4 a^{-8} -56 z^4 a^{-10} +6 z^4 a^{-12} -13 z^3 a^{-7} -44 z^3 a^{-9} -34 z^3 a^{-11} -3 z^3 a^{-13} +32 z^2 a^{-6} +60 z^2 a^{-8} +31 z^2 a^{-10} +2 z^2 a^{-12} -z^2 a^{-14} +7 z a^{-7} +13 z a^{-9} +9 z a^{-11} +3 z a^{-13} -8 a^{-6} -13 a^{-8} -8 a^{-10} -2 a^{-12} }[/math] |
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