K13n2442
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Polynomial invariants
| Jones polynomial | Data:K13n2442/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^3+10 t^2-14 t+15-14 t^{-1} +10 t^{-2} -4 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2442/Conway Polynomial |
| Determinant | 73 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -z^6 a^{-4} +6 z^6 a^{-6} -z^6 a^{-8} -3 z^4 a^{-4} +14 z^4 a^{-6} -5 z^4 a^{-8} -2 z^2 a^{-4} +16 z^2 a^{-6} -9 z^2 a^{-8} +z^2 a^{-10} - a^{-4} +7 a^{-6} -6 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +z^9 a^{-5} +3 z^9 a^{-7} +2 z^9 a^{-9} -3 z^8 a^{-6} -2 z^8 a^{-8} +z^8 a^{-10} -z^7 a^{-5} -5 z^7 a^{-7} -4 z^7 a^{-9} +4 z^6 a^{-4} +17 z^6 a^{-6} +17 z^6 a^{-8} +4 z^6 a^{-10} +z^5 a^{-3} +5 z^5 a^{-5} +14 z^5 a^{-7} +15 z^5 a^{-9} +5 z^5 a^{-11} -8 z^4 a^{-4} -33 z^4 a^{-6} -32 z^4 a^{-8} -6 z^4 a^{-10} +z^4 a^{-12} -2 z^3 a^{-3} -10 z^3 a^{-5} -22 z^3 a^{-7} -18 z^3 a^{-9} -4 z^3 a^{-11} +4 z^2 a^{-4} +24 z^2 a^{-6} +23 z^2 a^{-8} +3 z^2 a^{-10} +z a^{-3} +4 z a^{-5} +10 z a^{-7} +6 z a^{-9} -z a^{-11} - a^{-4} -7 a^{-6} -6 a^{-8} - a^{-10} }[/math] |
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