K13n1670
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Polynomial invariants
| Jones polynomial | Data:K13n1670/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-16 t^2+21 t-21+21 t^{-1} -16 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1670/Conway Polynomial |
| Determinant | 111 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +3 z^6-2 a^2 z^4-9 z^4 a^{-2} +3 z^4 a^{-4} +14 z^4-7 a^2 z^2-9 z^2 a^{-2} +z^2 a^{-4} +19 z^2-4 a^2-4 a^{-2} +9 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+4 z^{10} a^{-2} +5 z^{10}-2 a z^9+5 z^9 a^{-1} +7 z^9 a^{-3} -2 a^2 z^8-6 z^8 a^{-2} +8 z^8 a^{-4} -16 z^8+3 a^3 z^7+2 a z^7-23 z^7 a^{-1} -14 z^7 a^{-3} +8 z^7 a^{-5} -5 a^2 z^6-5 z^6 a^{-2} -10 z^6 a^{-4} +7 z^6 a^{-6} +7 z^6-14 a^3 z^5-17 a z^5+16 z^5 a^{-1} +8 z^5 a^{-3} -7 z^5 a^{-5} +4 z^5 a^{-7} +13 a^2 z^4+11 z^4 a^{-2} -z^4 a^{-4} -7 z^4 a^{-6} +z^4 a^{-8} +17 z^4+18 a^3 z^3+28 a z^3+9 z^3 a^{-1} -z^3 a^{-3} -3 z^3 a^{-5} -3 z^3 a^{-7} -12 a^2 z^2-9 z^2 a^{-2} +3 z^2 a^{-4} +z^2 a^{-6} -23 z^2-6 a^3 z-12 a z-8 z a^{-1} +2 z a^{-5} +4 a^2+4 a^{-2} +9 }[/math] |
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