K13a1184
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Polynomial invariants
| Jones polynomial | Data:K13a1184/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^4-14 t^3+34 t^2-53 t+61-53 t^{-1} +34 t^{-2} -14 t^{-3} +3 t^{-4} }[/math] |
| Conway polynomial | Data:K13a1184/Conway Polynomial |
| Determinant | 269 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +2 z^8 a^{-6} -z^6 a^{-2} +4 z^6 a^{-4} +10 z^6 a^{-6} -3 z^6 a^{-8} -4 z^4 a^{-2} +7 z^4 a^{-4} +18 z^4 a^{-6} -12 z^4 a^{-8} +z^4 a^{-10} -5 z^2 a^{-2} +9 z^2 a^{-4} +13 z^2 a^{-6} -15 z^2 a^{-8} +3 z^2 a^{-10} -2 a^{-2} +5 a^{-4} +2 a^{-6} -6 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-6} +z^{12} a^{-8} +4 z^{11} a^{-5} +9 z^{11} a^{-7} +5 z^{11} a^{-9} +6 z^{10} a^{-4} +16 z^{10} a^{-6} +20 z^{10} a^{-8} +10 z^{10} a^{-10} +5 z^9 a^{-3} +2 z^9 a^{-5} -4 z^9 a^{-7} +10 z^9 a^{-9} +11 z^9 a^{-11} +3 z^8 a^{-2} -12 z^8 a^{-4} -52 z^8 a^{-6} -59 z^8 a^{-8} -14 z^8 a^{-10} +8 z^8 a^{-12} +z^7 a^{-1} -12 z^7 a^{-3} -24 z^7 a^{-5} -37 z^7 a^{-7} -51 z^7 a^{-9} -21 z^7 a^{-11} +4 z^7 a^{-13} -10 z^6 a^{-2} +5 z^6 a^{-4} +71 z^6 a^{-6} +74 z^6 a^{-8} +2 z^6 a^{-10} -15 z^6 a^{-12} +z^6 a^{-14} -4 z^5 a^{-1} +4 z^5 a^{-3} +28 z^5 a^{-5} +71 z^5 a^{-7} +73 z^5 a^{-9} +14 z^5 a^{-11} -8 z^5 a^{-13} +11 z^4 a^{-2} -55 z^4 a^{-6} -48 z^4 a^{-8} +5 z^4 a^{-10} +7 z^4 a^{-12} -2 z^4 a^{-14} +5 z^3 a^{-1} +6 z^3 a^{-3} -13 z^3 a^{-5} -48 z^3 a^{-7} -45 z^3 a^{-9} -7 z^3 a^{-11} +4 z^3 a^{-13} -6 z^2 a^{-2} -6 z^2 a^{-4} +20 z^2 a^{-6} +23 z^2 a^{-8} -2 z^2 a^{-12} +z^2 a^{-14} -2 z a^{-1} -4 z a^{-3} -z a^{-5} +11 z a^{-7} +13 z a^{-9} +2 z a^{-11} -z a^{-13} +2 a^{-2} +5 a^{-4} -2 a^{-6} -6 a^{-8} -2 a^{-10} }[/math] |
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