K13n2571
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Polynomial invariants
| Jones polynomial | Data:K13n2571/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-6 t^2+9 t-9+9 t^{-1} -6 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2571/Conway Polynomial |
| Determinant | 43 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6-a^2 z^4+4 z^4 a^{-2} +3 z^4-2 a^2 z^2+5 z^2 a^{-2} -z^2 a^{-6} +z^2+3 a^{-2} - a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +4 z^{10} a^{-2} +z^{10} a^{-4} +3 z^{10}+4 a z^9-z^9 a^{-1} -5 z^9 a^{-3} +3 a^2 z^8-24 z^8 a^{-2} -7 z^8 a^{-4} +z^8 a^{-6} -13 z^8+a^3 z^7-18 a z^7-14 z^7 a^{-1} +4 z^7 a^{-3} +z^7 a^{-7} -13 a^2 z^6+47 z^6 a^{-2} +13 z^6 a^{-4} -7 z^6 a^{-6} +14 z^6-4 a^3 z^5+21 a z^5+30 z^5 a^{-1} +5 z^5 a^{-3} -6 z^5 a^{-5} -6 z^5 a^{-7} +13 a^2 z^4-41 z^4 a^{-2} -9 z^4 a^{-4} +11 z^4 a^{-6} -8 z^4+3 a^3 z^3-10 a z^3-22 z^3 a^{-1} -5 z^3 a^{-3} +13 z^3 a^{-5} +9 z^3 a^{-7} -3 a^2 z^2+16 z^2 a^{-2} +4 z^2 a^{-4} -5 z^2 a^{-6} +4 z^2+2 a z+4 z a^{-1} +z a^{-3} -5 z a^{-5} -4 z a^{-7} -3 a^{-2} + a^{-6} -1 }[/math] |
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