K13n1238
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Polynomial invariants
| Jones polynomial | Data:K13n1238/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+5 t^2-6 t+7-6 t^{-1} +5 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1238/Conway Polynomial |
| Determinant | 33 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -4 z^4 a^{-2} -5 z^4 a^{-4} +z^4 a^{-6} +z^4-3 z^2 a^{-2} -8 z^2 a^{-4} +4 z^2 a^{-6} +3 z^2+ a^{-2} -5 a^{-4} +3 a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +4 z^{10} a^{-4} +2 z^{10} a^{-6} +2 z^9 a^{-1} -3 z^9 a^{-3} -3 z^9 a^{-5} +2 z^9 a^{-7} -10 z^8 a^{-2} -24 z^8 a^{-4} -12 z^8 a^{-6} +z^8 a^{-8} +z^8-11 z^7 a^{-1} -5 z^7 a^{-3} -8 z^7 a^{-5} -14 z^7 a^{-7} +11 z^6 a^{-2} +45 z^6 a^{-4} +21 z^6 a^{-6} -7 z^6 a^{-8} -6 z^6+16 z^5 a^{-1} +13 z^5 a^{-3} +29 z^5 a^{-5} +32 z^5 a^{-7} -z^4 a^{-2} -41 z^4 a^{-4} -15 z^4 a^{-6} +14 z^4 a^{-8} +11 z^4-6 z^3 a^{-1} -5 z^3 a^{-3} -30 z^3 a^{-5} -32 z^3 a^{-7} -z^3 a^{-9} +22 z^2 a^{-4} +5 z^2 a^{-6} -9 z^2 a^{-8} -8 z^2-z a^{-1} +z a^{-3} +11 z a^{-5} +11 z a^{-7} +2 z a^{-9} - a^{-2} -5 a^{-4} -3 a^{-6} +2 }[/math] |
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