K13a2686
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Polynomial invariants
| Jones polynomial | Data:K13a2686/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-11 t^3+31 t^2-51 t+59-51 t^{-1} +31 t^{-2} -11 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a2686/Conway Polynomial |
| Determinant | 249 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -z^6 a^{-2} +4 z^6 a^{-4} +4 z^6 a^{-6} -2 z^6 a^{-8} -3 z^4 a^{-2} +6 z^4 a^{-4} +8 z^4 a^{-6} -7 z^4 a^{-8} +z^4 a^{-10} -2 z^2 a^{-2} +4 z^2 a^{-4} +10 z^2 a^{-6} -8 z^2 a^{-8} +2 z^2 a^{-10} +4 a^{-6} -3 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-6} +z^{12} a^{-8} +4 z^{11} a^{-5} +8 z^{11} a^{-7} +4 z^{11} a^{-9} +7 z^{10} a^{-4} +13 z^{10} a^{-6} +13 z^{10} a^{-8} +7 z^{10} a^{-10} +7 z^9 a^{-3} +2 z^9 a^{-5} -10 z^9 a^{-7} +3 z^9 a^{-9} +8 z^9 a^{-11} +4 z^8 a^{-2} -15 z^8 a^{-4} -40 z^8 a^{-6} -36 z^8 a^{-8} -8 z^8 a^{-10} +7 z^8 a^{-12} +z^7 a^{-1} -21 z^7 a^{-3} -25 z^7 a^{-5} +z^7 a^{-7} -13 z^7 a^{-9} -13 z^7 a^{-11} +4 z^7 a^{-13} -13 z^6 a^{-2} +4 z^6 a^{-4} +53 z^6 a^{-6} +53 z^6 a^{-8} -16 z^6 a^{-12} +z^6 a^{-14} -3 z^5 a^{-1} +18 z^5 a^{-3} +28 z^5 a^{-5} +7 z^5 a^{-7} +11 z^5 a^{-9} +z^5 a^{-11} -10 z^5 a^{-13} +12 z^4 a^{-2} +4 z^4 a^{-4} -47 z^4 a^{-6} -46 z^4 a^{-8} +6 z^4 a^{-10} +11 z^4 a^{-12} -2 z^4 a^{-14} +2 z^3 a^{-1} -5 z^3 a^{-3} -14 z^3 a^{-5} -12 z^3 a^{-7} -z^3 a^{-9} +10 z^3 a^{-11} +6 z^3 a^{-13} -3 z^2 a^{-2} -z^2 a^{-4} +22 z^2 a^{-6} +19 z^2 a^{-8} -3 z^2 a^{-10} -2 z^2 a^{-12} +z a^{-3} +3 z a^{-5} +5 z a^{-7} -z a^{-9} -4 z a^{-11} -4 a^{-6} -3 a^{-8} }[/math] |
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