K13n4284
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Polynomial invariants
| Jones polynomial | Data:K13n4284/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+7 t^2-13 t+17-13 t^{-1} +7 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4284/Conway Polynomial |
| Determinant | 61 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -4 z^4 a^{-2} -3 z^4 a^{-4} +z^4 a^{-6} +z^4-6 z^2 a^{-2} -2 z^2 a^{-4} +2 z^2 a^{-6} +3 z^2-3 a^{-2} + a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +4 z^{10} a^{-4} +3 z^{10} a^{-6} -3 z^9 a^{-3} +3 z^9 a^{-7} -3 z^8 a^{-2} -17 z^8 a^{-4} -13 z^8 a^{-6} +z^8 a^{-8} +2 z^7 a^{-1} +3 z^7 a^{-3} -14 z^7 a^{-5} -15 z^7 a^{-7} +2 z^6 a^{-2} +20 z^6 a^{-4} +13 z^6 a^{-6} -5 z^6 a^{-8} -4 z^5 a^{-1} -9 z^5 a^{-3} +17 z^5 a^{-5} +22 z^5 a^{-7} +z^4 a^{-2} -13 z^4 a^{-4} -2 z^4 a^{-6} +8 z^4 a^{-8} +4 z^4+2 a z^3+z^3 a^{-1} +9 z^3 a^{-3} -10 z^3 a^{-7} +a^2 z^2-8 z^2 a^{-2} +6 z^2 a^{-4} +3 z^2 a^{-6} -4 z^2 a^{-8} -6 z^2-z a^{-1} -4 z a^{-3} -2 z a^{-5} +z a^{-7} +3 a^{-2} - a^{-6} +3 }[/math] |
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