K13n2257
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Polynomial invariants
| Jones polynomial | Data:K13n2257/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-10 t^2+18 t-19+18 t^{-1} -10 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2257/Conway Polynomial |
| Determinant | 79 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6-2 a^2 z^4+3 z^4 a^{-2} -z^4 a^{-4} +2 z^4+a^4 z^2-5 a^2 z^2+3 z^2 a^{-2} -2 z^2 a^{-4} -z^2+2 a^4-2 a^2+2 a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+2 z^{10} a^{-2} +4 z^{10}+2 a^3 z^9-a z^9-2 z^9 a^{-1} +z^9 a^{-3} +a^4 z^8-7 a^2 z^8-7 z^8 a^{-2} -15 z^8-10 a^3 z^7-6 a z^7+7 z^7 a^{-1} +3 z^7 a^{-3} -6 a^4 z^6+a^2 z^6+20 z^6 a^{-2} +8 z^6 a^{-4} +19 z^6+15 a^3 z^5+2 a z^5-27 z^5 a^{-1} -9 z^5 a^{-3} +5 z^5 a^{-5} +12 a^4 z^4+13 a^2 z^4-37 z^4 a^{-2} -13 z^4 a^{-4} +3 z^4 a^{-6} -20 z^4-7 a^3 z^3+10 a z^3+27 z^3 a^{-1} +6 z^3 a^{-3} -3 z^3 a^{-5} +z^3 a^{-7} -9 a^4 z^2-10 a^2 z^2+21 z^2 a^{-2} +6 z^2 a^{-4} -z^2 a^{-6} +13 z^2+a^3 z-5 a z-9 z a^{-1} -3 z a^{-3} +2 a^4+2 a^2-2 a^{-2} -1 }[/math] |
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