K13n2501
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Polynomial invariants
| Jones polynomial | Data:K13n2501/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+9 t^2-9 t+7-9 t^{-1} +9 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2501/Conway Polynomial |
| Determinant | 49 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-4} -z^6 a^{-6} +2 z^4 a^{-2} -9 z^4 a^{-4} -3 z^4 a^{-6} +z^4 a^{-8} +7 z^2 a^{-2} -11 z^2 a^{-4} +4 z^2 a^{-8} +4 a^{-2} -5 a^{-4} + a^{-6} +2 a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-3} +3 z^9 a^{-5} +2 z^9 a^{-7} -5 z^8 a^{-4} -3 z^8 a^{-6} +2 z^8 a^{-8} -3 z^7 a^{-3} -12 z^7 a^{-5} -8 z^7 a^{-7} +z^7 a^{-9} +3 z^6 a^{-2} +16 z^6 a^{-4} +6 z^6 a^{-6} -7 z^6 a^{-8} +z^5 a^{-3} +19 z^5 a^{-5} +17 z^5 a^{-7} -z^5 a^{-9} -13 z^4 a^{-2} -33 z^4 a^{-4} -8 z^4 a^{-6} +15 z^4 a^{-8} +3 z^4 a^{-10} -17 z^3 a^{-5} -15 z^3 a^{-7} +3 z^3 a^{-9} +z^3 a^{-11} +15 z^2 a^{-2} +25 z^2 a^{-4} +3 z^2 a^{-6} -10 z^2 a^{-8} -3 z^2 a^{-10} +z a^{-3} +4 z a^{-5} +4 z a^{-7} -z a^{-11} -4 a^{-2} -5 a^{-4} - a^{-6} +2 a^{-8} + a^{-10} }[/math] |
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