K13n3172
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Polynomial invariants
| Jones polynomial | Data:K13n3172/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-7 t^3+13 t^2-16 t+17-16 t^{-1} +13 t^{-2} -7 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3172/Conway Polynomial |
| Determinant | 93 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -z^6 a^{-2} +5 z^6 a^{-4} +6 z^6 a^{-6} -z^6 a^{-8} -4 z^4 a^{-2} +8 z^4 a^{-4} +13 z^4 a^{-6} -6 z^4 a^{-8} -4 z^2 a^{-2} +5 z^2 a^{-4} +13 z^2 a^{-6} -10 z^2 a^{-8} +z^2 a^{-10} +5 a^{-6} -5 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +3 z^{10} a^{-4} +5 z^{10} a^{-6} +2 z^{10} a^{-8} +4 z^9 a^{-3} +2 z^9 a^{-5} -z^9 a^{-7} +z^9 a^{-9} +3 z^8 a^{-2} -8 z^8 a^{-4} -20 z^8 a^{-6} -9 z^8 a^{-8} +z^7 a^{-1} -14 z^7 a^{-3} -13 z^7 a^{-5} -z^7 a^{-7} -3 z^7 a^{-9} -12 z^6 a^{-2} +5 z^6 a^{-4} +40 z^6 a^{-6} +24 z^6 a^{-8} +z^6 a^{-10} -4 z^5 a^{-1} +13 z^5 a^{-3} +13 z^5 a^{-5} +4 z^5 a^{-7} +8 z^5 a^{-9} +14 z^4 a^{-2} -6 z^4 a^{-4} -50 z^4 a^{-6} -28 z^4 a^{-8} +2 z^4 a^{-10} +4 z^3 a^{-1} -5 z^3 a^{-3} -8 z^3 a^{-5} -3 z^3 a^{-7} -2 z^3 a^{-9} +2 z^3 a^{-11} -5 z^2 a^{-2} +2 z^2 a^{-4} +28 z^2 a^{-6} +20 z^2 a^{-8} -z^2 a^{-10} +z a^{-3} +z a^{-5} +2 z a^{-7} -2 z a^{-11} -5 a^{-6} -5 a^{-8} - a^{-10} }[/math] |
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