K13n2269
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Polynomial invariants
| Jones polynomial | Data:K13n2269/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-22 t^2+41 t-49+41 t^{-1} -22 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2269/Conway Polynomial |
| Determinant | 191 |
| 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} +6 z^4-2 a^2 z^2-3 z^2 a^{-2} -2 z^2 a^{-4} +z^2 a^{-6} +6 z^2-a^2-2 a^{-4} + a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +12 z^{10} a^{-2} +6 z^{10} a^{-4} +6 z^{10}+7 a z^9+13 z^9 a^{-1} +13 z^9 a^{-3} +7 z^9 a^{-5} +4 a^2 z^8-17 z^8 a^{-2} -3 z^8 a^{-4} +4 z^8 a^{-6} -6 z^8+a^3 z^7-18 a z^7-43 z^7 a^{-1} -32 z^7 a^{-3} -7 z^7 a^{-5} +z^7 a^{-7} -12 a^2 z^6-9 z^6 a^{-2} +z^6 a^{-4} +3 z^6 a^{-6} -19 z^6-3 a^3 z^5+10 a z^5+28 z^5 a^{-1} +18 z^5 a^{-3} +10 z^5 a^{-5} +7 z^5 a^{-7} +12 a^2 z^4+11 z^4 a^{-2} -9 z^4 a^{-4} -4 z^4 a^{-6} +3 z^4 a^{-8} +25 z^4+3 a^3 z^3+2 a z^3-2 z^3 a^{-1} -3 z^3 a^{-3} -9 z^3 a^{-5} -7 z^3 a^{-7} -5 a^2 z^2-z^2 a^{-2} +8 z^2 a^{-4} +2 z^2 a^{-6} -2 z^2 a^{-8} -10 z^2-a^3 z-2 a z-2 z a^{-1} +3 z a^{-5} +2 z a^{-7} +a^2-2 a^{-4} - a^{-6} +3 }[/math] |
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