K13n1754
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Polynomial invariants
| Jones polynomial | Data:K13n1754/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+8 t^2-14 t+17-14 t^{-1} +8 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1754/Conway Polynomial |
| Determinant | 65 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-4} +2 z^4 a^{-2} -9 z^4 a^{-4} +3 z^4 a^{-6} +6 z^2 a^{-2} -13 z^2 a^{-4} +8 z^2 a^{-6} -z^2 a^{-8} +4 a^{-2} -6 a^{-4} +4 a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-3} +4 z^9 a^{-5} +3 z^9 a^{-7} -2 z^8 a^{-4} +z^8 a^{-6} +3 z^8 a^{-8} -z^7 a^{-3} -11 z^7 a^{-5} -9 z^7 a^{-7} +z^7 a^{-9} +3 z^6 a^{-2} +5 z^6 a^{-4} -5 z^6 a^{-6} -7 z^6 a^{-8} -5 z^5 a^{-3} +8 z^5 a^{-5} +16 z^5 a^{-7} +3 z^5 a^{-9} -11 z^4 a^{-2} -21 z^4 a^{-4} -3 z^4 a^{-6} +11 z^4 a^{-8} +4 z^4 a^{-10} +4 z^3 a^{-3} -6 z^3 a^{-5} -14 z^3 a^{-7} -3 z^3 a^{-9} +z^3 a^{-11} +11 z^2 a^{-2} +22 z^2 a^{-4} +9 z^2 a^{-6} -4 z^2 a^{-8} -2 z^2 a^{-10} +z a^{-3} +3 z a^{-5} +3 z a^{-7} +z a^{-9} -4 a^{-2} -6 a^{-4} -4 a^{-6} - a^{-8} }[/math] |
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