K13n2129
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Polynomial invariants
| Jones polynomial | Data:K13n2129/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-16 t^2+27 t-31+27 t^{-1} -16 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2129/Conway Polynomial |
| Determinant | 131 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-10 z^4 a^{-2} +3 z^4 a^{-4} +8 z^4-3 a^2 z^2-10 z^2 a^{-2} +3 z^2 a^{-4} +11 z^2-2 a^2-4 a^{-2} + a^{-4} +6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +6 z^{10} a^{-2} +3 z^{10} a^{-4} +3 z^{10}+4 a z^9+7 z^9 a^{-1} +6 z^9 a^{-3} +3 z^9 a^{-5} +3 a^2 z^8-9 z^8 a^{-2} -4 z^8 a^{-4} +z^8 a^{-6} -z^8+a^3 z^7-10 a z^7-24 z^7 a^{-1} -18 z^7 a^{-3} -5 z^7 a^{-5} -11 a^2 z^6-7 z^6 a^{-2} +5 z^6 a^{-4} +3 z^6 a^{-6} -20 z^6-4 a^3 z^5+a z^5+15 z^5 a^{-1} +18 z^5 a^{-3} +12 z^5 a^{-5} +4 z^5 a^{-7} +13 a^2 z^4+17 z^4 a^{-2} -z^4 a^{-6} +z^4 a^{-8} +28 z^4+5 a^3 z^3+8 a z^3-7 z^3 a^{-3} -8 z^3 a^{-5} -4 z^3 a^{-7} -7 a^2 z^2-14 z^2 a^{-2} -2 z^2 a^{-4} -z^2 a^{-8} -18 z^2-2 a^3 z-4 a z-3 z a^{-1} +2 z a^{-5} +z a^{-7} +2 a^2+4 a^{-2} + a^{-4} +6 }[/math] |
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