K13n2882
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Polynomial invariants
| Jones polynomial | Data:K13n2882/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+6 t^2-10 t+11-10 t^{-1} +6 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2882/Conway Polynomial |
| Determinant | 45 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-8} +z^4 a^{-4} +2 z^4 a^{-6} -4 z^4 a^{-8} +z^4 a^{-10} +3 z^2 a^{-4} +4 z^2 a^{-6} -5 z^2 a^{-8} +3 z^2 a^{-10} +2 a^{-4} -2 a^{-8} +2 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +z^9 a^{-7} +3 z^9 a^{-9} +2 z^9 a^{-11} -5 z^8 a^{-8} -4 z^8 a^{-10} +z^8 a^{-12} -5 z^7 a^{-7} -14 z^7 a^{-9} -9 z^7 a^{-11} +2 z^6 a^{-6} +12 z^6 a^{-8} +10 z^6 a^{-10} +z^5 a^{-5} +12 z^5 a^{-7} +26 z^5 a^{-9} +18 z^5 a^{-11} +3 z^5 a^{-13} +z^4 a^{-4} -4 z^4 a^{-6} -12 z^4 a^{-8} -16 z^4 a^{-10} -9 z^4 a^{-12} -z^3 a^{-5} -7 z^3 a^{-7} -16 z^3 a^{-9} -19 z^3 a^{-11} -9 z^3 a^{-13} -3 z^2 a^{-4} +3 z^2 a^{-6} +10 z^2 a^{-8} +12 z^2 a^{-10} +8 z^2 a^{-12} -z a^{-5} +2 z a^{-9} +5 z a^{-11} +4 z a^{-13} +2 a^{-4} -2 a^{-8} -2 a^{-10} - a^{-12} }[/math] |
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