K13n2085
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Polynomial invariants
| Jones polynomial | Data:K13n2085/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+18 t^2-46 t+63-46 t^{-1} +18 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2085/Conway Polynomial |
| Determinant | 197 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -2 z^6+3 a^2 z^4+z^4 a^{-4} -4 z^4-a^4 z^2+3 a^2 z^2+z^2 a^{-2} -4 z^2+a^2+ a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +4 a^2 z^{10}+8 z^{10} a^{-2} +12 z^{10}+2 a^3 z^9+7 a z^9+18 z^9 a^{-1} +13 z^9 a^{-3} -8 a^2 z^8-z^8 a^{-2} +11 z^8 a^{-4} -20 z^8-a^3 z^7-22 a z^7-50 z^7 a^{-1} -24 z^7 a^{-3} +5 z^7 a^{-5} +5 a^4 z^6+21 a^2 z^6-27 z^6 a^{-2} -22 z^6 a^{-4} +z^6 a^{-6} +12 z^6+a^5 z^5+9 a^3 z^5+36 a z^5+45 z^5 a^{-1} +9 z^5 a^{-3} -8 z^5 a^{-5} -7 a^4 z^4-19 a^2 z^4+22 z^4 a^{-2} +11 z^4 a^{-4} -z^4 a^{-6} -2 z^4-2 a^5 z^3-13 a^3 z^3-25 a z^3-18 z^3 a^{-1} -2 z^3 a^{-3} +2 z^3 a^{-5} +2 a^4 z^2+5 a^2 z^2-3 z^2 a^{-2} -2 z^2 a^{-4} +2 z^2+a^5 z+4 a^3 z+5 a z+3 z a^{-1} +z a^{-3} -a^2- a^{-2} -1 }[/math] |
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