K13n2565
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Polynomial invariants
| Jones polynomial | Data:K13n2565/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+2 t^3-t^2+1- t^{-2} +2 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2565/Conway Polynomial |
| Determinant | 7 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^6 a^{-2} -8 z^6 a^{-4} +z^6 a^{-6} +6 z^4 a^{-2} -22 z^4 a^{-4} +7 z^4 a^{-6} +11 z^2 a^{-2} -25 z^2 a^{-4} +13 z^2 a^{-6} -z^2 a^{-8} +6 a^{-2} -10 a^{-4} +6 a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +3 z^{10} a^{-4} +2 z^{10} a^{-6} -8 z^9 a^{-3} -6 z^9 a^{-5} +2 z^9 a^{-7} -9 z^8 a^{-2} -25 z^8 a^{-4} -15 z^8 a^{-6} +z^8 a^{-8} +21 z^7 a^{-3} +6 z^7 a^{-5} -15 z^7 a^{-7} +29 z^6 a^{-2} +72 z^6 a^{-4} +36 z^6 a^{-6} -7 z^6 a^{-8} -20 z^5 a^{-3} +14 z^5 a^{-5} +34 z^5 a^{-7} -41 z^4 a^{-2} -90 z^4 a^{-4} -37 z^4 a^{-6} +12 z^4 a^{-8} +3 z^3 a^{-3} -24 z^3 a^{-5} -28 z^3 a^{-7} -z^3 a^{-9} +25 z^2 a^{-2} +50 z^2 a^{-4} +21 z^2 a^{-6} -4 z^2 a^{-8} +3 z a^{-3} +9 z a^{-5} +7 z a^{-7} +z a^{-9} -6 a^{-2} -10 a^{-4} -6 a^{-6} - a^{-8} }[/math] |
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