K13n3497
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Polynomial invariants
| Jones polynomial | Data:K13n3497/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-23 t^2+42 t-49+42 t^{-1} -23 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3497/Conway Polynomial |
| Determinant | 195 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -4 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-7 z^4 a^{-2} +2 z^4 a^{-4} +5 z^4-a^2 z^2-7 z^2 a^{-2} +2 z^2 a^{-4} +3 z^2+a^2-3 a^{-2} +2 a^{-4} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +13 z^{10} a^{-2} +6 z^{10} a^{-4} +7 z^{10}+9 a z^9+19 z^9 a^{-1} +16 z^9 a^{-3} +6 z^9 a^{-5} +5 a^2 z^8-14 z^8 a^{-2} -3 z^8 a^{-4} +2 z^8 a^{-6} -4 z^8+a^3 z^7-24 a z^7-65 z^7 a^{-1} -49 z^7 a^{-3} -9 z^7 a^{-5} -14 a^2 z^6-36 z^6 a^{-2} -13 z^6 a^{-4} +3 z^6 a^{-6} -34 z^6-2 a^3 z^5+17 a z^5+54 z^5 a^{-1} +45 z^5 a^{-3} +15 z^5 a^{-5} +5 z^5 a^{-7} +12 a^2 z^4+55 z^4 a^{-2} +28 z^4 a^{-4} +3 z^4 a^{-6} +z^4 a^{-8} +41 z^4+a^3 z^3-4 a z^3-21 z^3 a^{-1} -18 z^3 a^{-3} -5 z^3 a^{-5} -3 z^3 a^{-7} -2 a^2 z^2-27 z^2 a^{-2} -16 z^2 a^{-4} -3 z^2 a^{-6} -z^2 a^{-8} -15 z^2+a z+5 z a^{-1} +4 z a^{-3} -a^2+3 a^{-2} +2 a^{-4} +1 }[/math] |
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