K13n3564
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Polynomial invariants
| Jones polynomial | Data:K13n3564/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-18 t^2+33 t-39+33 t^{-1} -18 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3564/Conway Polynomial |
| Determinant | 155 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -4 z^6 a^{-2} +z^6 a^{-4} +z^6-5 z^4 a^{-2} +z^4 a^{-4} +2 z^4-z^2 a^{-2} -2 z^2 a^{-4} +z^2 a^{-6} +z^2+ a^{-2} -2 a^{-4} + a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 z^{10} a^{-2} +4 z^{10} a^{-4} +11 z^9 a^{-1} +19 z^9 a^{-3} +8 z^9 a^{-5} +12 z^8 a^{-2} +6 z^8 a^{-4} +5 z^8 a^{-6} +11 z^8+5 a z^7-20 z^7 a^{-1} -41 z^7 a^{-3} -15 z^7 a^{-5} +z^7 a^{-7} +a^2 z^6-44 z^6 a^{-2} -22 z^6 a^{-4} -3 z^6 a^{-6} -24 z^6-8 a z^5+5 z^5 a^{-1} +28 z^5 a^{-3} +22 z^5 a^{-5} +7 z^5 a^{-7} -a^2 z^4+29 z^4 a^{-2} +17 z^4 a^{-4} +5 z^4 a^{-6} +3 z^4 a^{-8} +13 z^4+2 a z^3-z^3 a^{-1} -8 z^3 a^{-3} -13 z^3 a^{-5} -8 z^3 a^{-7} -4 z^2 a^{-2} -2 z^2 a^{-6} -3 z^2 a^{-8} -3 z^2+z a^{-3} +3 z a^{-5} +2 z a^{-7} - a^{-2} -2 a^{-4} - a^{-6} +1 }[/math] |
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