K13n3789
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Polynomial invariants
| Jones polynomial | Data:K13n3789/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+7 t^3-9 t^2+10 t-9+10 t^{-1} -9 t^{-2} +7 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n3789/Conway Polynomial |
| Determinant | 71 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +8 z^8 a^{-2} -z^8 a^{-4} -z^8+23 z^6 a^{-2} -7 z^6 a^{-4} -6 z^6+29 z^4 a^{-2} -16 z^4 a^{-4} +z^4 a^{-6} -11 z^4+15 z^2 a^{-2} -14 z^2 a^{-4} +3 z^2 a^{-6} -6 z^2+2 a^{-2} -4 a^{-4} +2 a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +7 z^{10} a^{-2} +3 z^{10} a^{-4} +4 z^{10}+4 a z^9-7 z^9 a^{-1} -10 z^9 a^{-3} +z^9 a^{-5} +3 a^2 z^8-41 z^8 a^{-2} -19 z^8 a^{-4} -19 z^8+a^3 z^7-17 a z^7+2 z^7 a^{-1} +17 z^7 a^{-3} -3 z^7 a^{-5} -13 a^2 z^6+86 z^6 a^{-2} +48 z^6 a^{-4} +3 z^6 a^{-6} +28 z^6-4 a^3 z^5+17 a z^5+9 z^5 a^{-1} -11 z^5 a^{-3} +3 z^5 a^{-5} +2 z^5 a^{-7} +13 a^2 z^4-78 z^4 a^{-2} -54 z^4 a^{-4} -8 z^4 a^{-6} +z^4 a^{-8} -20 z^4+3 a^3 z^3-5 a z^3-8 z^3 a^{-1} +7 z^3 a^{-3} +3 z^3 a^{-5} -4 z^3 a^{-7} -3 a^2 z^2+27 z^2 a^{-2} +29 z^2 a^{-4} +8 z^2 a^{-6} -2 z^2 a^{-8} +5 z^2+a z-4 z a^{-3} -2 z a^{-5} +z a^{-7} -2 a^{-2} -4 a^{-4} -2 a^{-6} +1 }[/math] |
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