K13n1540
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Polynomial invariants
| Jones polynomial | Data:K13n1540/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-23 t^2+43 t-51+43 t^{-1} -23 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1540/Conway Polynomial |
| Determinant | 199 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -4 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-6 z^4 a^{-2} +z^4 a^{-4} +5 z^4-a^2 z^2-2 z^2 a^{-2} -2 z^2 a^{-4} +z^2 a^{-6} +2 z^2+a^2+2 a^{-2} -2 a^{-4} + a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +13 z^{10} a^{-2} +6 z^{10} a^{-4} +7 z^{10}+9 a z^9+17 z^9 a^{-1} +15 z^9 a^{-3} +7 z^9 a^{-5} +5 a^2 z^8-18 z^8 a^{-2} -2 z^8 a^{-4} +4 z^8 a^{-6} -7 z^8+a^3 z^7-25 a z^7-57 z^7 a^{-1} -39 z^7 a^{-3} -7 z^7 a^{-5} +z^7 a^{-7} -14 a^2 z^6-11 z^6 a^{-2} +3 z^6 a^{-6} -22 z^6-2 a^3 z^5+18 a z^5+45 z^5 a^{-1} +30 z^5 a^{-3} +12 z^5 a^{-5} +7 z^5 a^{-7} +11 a^2 z^4+11 z^4 a^{-2} -10 z^4 a^{-4} -4 z^4 a^{-6} +3 z^4 a^{-8} +25 z^4+a^3 z^3-2 a z^3-13 z^3 a^{-1} -15 z^3 a^{-3} -12 z^3 a^{-5} -7 z^3 a^{-7} -a^2 z^2+2 z^2 a^{-2} +9 z^2 a^{-4} +3 z^2 a^{-6} -2 z^2 a^{-8} -3 z^2+2 z a^{-1} +4 z a^{-3} +4 z a^{-5} +2 z a^{-7} -a^2-2 a^{-2} -2 a^{-4} - a^{-6} -1 }[/math] |
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