K13n1832
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Polynomial invariants
| Jones polynomial | Data:K13n1832/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+8 t^2-25 t+37-25 t^{-1} +8 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n1832/Conway Polynomial |
| Determinant | 105 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -2 z^4 a^{-2} +2 z^4 a^{-4} +2 z^4-a^2 z^2-3 z^2 a^{-2} +2 z^2 a^{-4} -z^2 a^{-6} +z^2+a^2- a^{-2} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +6 z^{10} a^{-2} +4 z^{10} a^{-4} +2 z^{10}+a z^9+3 z^9 a^{-1} +8 z^9 a^{-3} +6 z^9 a^{-5} -16 z^8 a^{-2} -6 z^8 a^{-4} +4 z^8 a^{-6} -6 z^8-4 a z^7-22 z^7 a^{-1} -39 z^7 a^{-3} -20 z^7 a^{-5} +z^7 a^{-7} +z^6 a^{-2} -17 z^6 a^{-4} -14 z^6 a^{-6} +4 z^6+10 a z^5+36 z^5 a^{-1} +45 z^5 a^{-3} +16 z^5 a^{-5} -3 z^5 a^{-7} +3 a^2 z^4+21 z^4 a^{-2} +26 z^4 a^{-4} +13 z^4 a^{-6} +11 z^4-5 a z^3-19 z^3 a^{-1} -22 z^3 a^{-3} -6 z^3 a^{-5} +2 z^3 a^{-7} -2 a^2 z^2-13 z^2 a^{-2} -12 z^2 a^{-4} -4 z^2 a^{-6} -7 z^2+a z+5 z a^{-1} +5 z a^{-3} +z a^{-5} -a^2+ a^{-2} + a^{-4} }[/math] |
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