K13n1258
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Polynomial invariants
| Jones polynomial | Data:K13n1258/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-13 t^2+20 t-21+20 t^{-1} -13 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1258/Conway Polynomial |
| Determinant | 99 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +z^6-9 z^4 a^{-2} +4 z^4 a^{-4} +2 z^4+a^2 z^2-8 z^2 a^{-2} +6 z^2 a^{-4} -z^2 a^{-6} -z^2+2 a^2-3 a^{-2} +4 a^{-4} - a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+a z^9+7 z^9 a^{-1} +6 z^9 a^{-3} +13 z^8 a^{-2} +10 z^8 a^{-4} +3 z^8+a z^7-14 z^7 a^{-1} -9 z^7 a^{-3} +6 z^7 a^{-5} +3 a^2 z^6-43 z^6 a^{-2} -28 z^6 a^{-4} +z^6 a^{-6} -11 z^6-8 a z^5+2 z^5 a^{-1} +3 z^5 a^{-3} -7 z^5 a^{-5} -9 a^2 z^4+43 z^4 a^{-2} +41 z^4 a^{-4} +8 z^4 a^{-6} +z^4+6 a z^3-z^3 a^{-1} -3 z^3 a^{-3} +7 z^3 a^{-5} +3 z^3 a^{-7} +8 a^2 z^2-21 z^2 a^{-2} -25 z^2 a^{-4} -7 z^2 a^{-6} +5 z^2-a z+2 z a^{-1} +3 z a^{-3} -z a^{-5} -z a^{-7} -2 a^2+3 a^{-2} +4 a^{-4} + a^{-6} -1 }[/math] |
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