K13n2439
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Polynomial invariants
| Jones polynomial | Data:K13n2439/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-2 t^3-2 t^2+12 t-17+12 t^{-1} -2 t^{-2} -2 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2439/Conway Polynomial |
| Determinant | 39 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +7 z^6 a^{-2} -z^6+15 z^4 a^{-2} -3 z^4 a^{-4} -z^4 a^{-6} -5 z^4+15 z^2 a^{-2} -7 z^2 a^{-4} -6 z^2+7 a^{-2} -5 a^{-4} + a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +3 z^{10} a^{-2} +z^{10} a^{-4} +2 z^{10}+a z^9-6 z^9 a^{-1} -7 z^9 a^{-3} -26 z^8 a^{-2} -8 z^8 a^{-4} +3 z^8 a^{-6} -15 z^8-7 a z^7+3 z^7 a^{-1} +10 z^7 a^{-3} +6 z^7 a^{-5} +6 z^7 a^{-7} +68 z^6 a^{-2} +27 z^6 a^{-4} -2 z^6 a^{-6} +4 z^6 a^{-8} +35 z^6+15 a z^5+22 z^5 a^{-1} +13 z^5 a^{-3} -8 z^5 a^{-5} -13 z^5 a^{-7} +z^5 a^{-9} -66 z^4 a^{-2} -32 z^4 a^{-4} -6 z^4 a^{-6} -7 z^4 a^{-8} -33 z^4-12 a z^3-27 z^3 a^{-1} -24 z^3 a^{-3} -4 z^3 a^{-5} +4 z^3 a^{-7} -z^3 a^{-9} +30 z^2 a^{-2} +18 z^2 a^{-4} +3 z^2 a^{-6} +z^2 a^{-8} +14 z^2+3 a z+8 z a^{-1} +10 z a^{-3} +6 z a^{-5} +z a^{-7} -7 a^{-2} -5 a^{-4} - a^{-6} -2 }[/math] |
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