K13n3902
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Polynomial invariants
| Jones polynomial | Data:K13n3902/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-9 t^2+15 t-17+15 t^{-1} -9 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3902/Conway Polynomial |
| Determinant | 75 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6-7 z^4 a^{-2} -2 z^4 a^{-4} +z^4 a^{-6} +3 z^4-6 z^2 a^{-4} +3 z^2 a^{-6} +2 z^2+4 a^{-2} -5 a^{-4} +2 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +5 z^9 a^{-1} +5 z^9 a^{-3} +z^9 a^{-5} +z^9 a^{-7} +7 z^8 a^{-2} -2 z^8 a^{-4} -z^8 a^{-6} +z^8 a^{-8} +7 z^8+4 a z^7-11 z^7 a^{-1} -14 z^7 a^{-3} -8 z^7 a^{-5} -9 z^7 a^{-7} +a^2 z^6-27 z^6 a^{-2} +3 z^6 a^{-4} +z^6 a^{-6} -7 z^6 a^{-8} -21 z^6-10 a z^5+2 z^5 a^{-1} +18 z^5 a^{-3} +28 z^5 a^{-5} +22 z^5 a^{-7} -2 a^2 z^4+24 z^4 a^{-2} +z^4 a^{-4} +8 z^4 a^{-6} +13 z^4 a^{-8} +16 z^4+4 a z^3-13 z^3 a^{-3} -27 z^3 a^{-5} -18 z^3 a^{-7} -3 z^2 a^{-2} +5 z^2 a^{-4} -4 z^2 a^{-6} -7 z^2 a^{-8} -5 z^2+z a^{-1} +6 z a^{-3} +10 z a^{-5} +5 z a^{-7} -4 a^{-2} -5 a^{-4} -2 a^{-6} }[/math] |
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