K13n2691
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Polynomial invariants
| Jones polynomial | Data:K13n2691/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+17 t^2-45 t+61-45 t^{-1} +17 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2691/Conway Polynomial |
| Determinant | 189 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-4} +z^4 a^{-8} +2 z^4 a^{-10} +3 z^2 a^{-4} +z^2 a^{-6} +3 z^2 a^{-8} -z^2 a^{-10} -z^2 a^{-12} + a^{-4} + a^{-6} + a^{-8} -3 a^{-10} + a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-9} +2 z^{11} a^{-11} +6 z^{10} a^{-8} +13 z^{10} a^{-10} +7 z^{10} a^{-12} +7 z^9 a^{-7} +14 z^9 a^{-9} +16 z^9 a^{-11} +9 z^9 a^{-13} +4 z^8 a^{-6} -5 z^8 a^{-8} -23 z^8 a^{-10} -9 z^8 a^{-12} +5 z^8 a^{-14} +z^7 a^{-5} -13 z^7 a^{-7} -45 z^7 a^{-9} -58 z^7 a^{-11} -26 z^7 a^{-13} +z^7 a^{-15} -2 z^6 a^{-6} -3 z^6 a^{-8} -3 z^6 a^{-10} -16 z^6 a^{-12} -14 z^6 a^{-14} +5 z^5 a^{-5} +23 z^5 a^{-7} +45 z^5 a^{-9} +49 z^5 a^{-11} +20 z^5 a^{-13} -2 z^5 a^{-15} +3 z^4 a^{-4} +4 z^4 a^{-6} +8 z^4 a^{-8} +14 z^4 a^{-10} +17 z^4 a^{-12} +10 z^4 a^{-14} -6 z^3 a^{-5} -18 z^3 a^{-7} -19 z^3 a^{-9} -11 z^3 a^{-11} -3 z^3 a^{-13} +z^3 a^{-15} -4 z^2 a^{-4} -z^2 a^{-6} -2 z^2 a^{-8} -7 z^2 a^{-10} -2 z^2 a^{-12} +z a^{-5} +6 z a^{-7} +2 z a^{-9} -5 z a^{-11} -2 z a^{-13} + a^{-4} - a^{-6} + a^{-8} +3 a^{-10} + a^{-12} }[/math] |
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