K13n235
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Polynomial invariants
| Jones polynomial | Data:K13n235/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+18 t^2-31 t+37-31 t^{-1} +18 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n235/Conway Polynomial |
| Determinant | 149 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +5 z^6 a^{-4} -2 z^6 a^{-6} -3 z^4 a^{-2} +11 z^4 a^{-4} -7 z^4 a^{-6} +z^4 a^{-8} -3 z^2 a^{-2} +13 z^2 a^{-4} -9 z^2 a^{-6} +2 z^2 a^{-8} - a^{-2} +6 a^{-4} -5 a^{-6} + a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +4 z^{10} a^{-4} +7 z^{10} a^{-6} +3 z^{10} a^{-8} +6 z^9 a^{-3} +12 z^9 a^{-5} +9 z^9 a^{-7} +3 z^9 a^{-9} +4 z^8 a^{-2} +z^8 a^{-4} -5 z^8 a^{-6} -z^8 a^{-8} +z^8 a^{-10} +z^7 a^{-1} -15 z^7 a^{-3} -36 z^7 a^{-5} -24 z^7 a^{-7} -4 z^7 a^{-9} -13 z^6 a^{-2} -33 z^6 a^{-4} -26 z^6 a^{-6} -3 z^6 a^{-8} +3 z^6 a^{-10} -3 z^5 a^{-1} +4 z^5 a^{-3} +17 z^5 a^{-5} +17 z^5 a^{-7} +11 z^5 a^{-9} +4 z^5 a^{-11} +14 z^4 a^{-2} +40 z^4 a^{-4} +35 z^4 a^{-6} +8 z^4 a^{-8} +z^4 a^{-12} +3 z^3 a^{-1} +7 z^3 a^{-3} +7 z^3 a^{-5} -7 z^3 a^{-9} -4 z^3 a^{-11} -6 z^2 a^{-2} -21 z^2 a^{-4} -19 z^2 a^{-6} -4 z^2 a^{-8} -z^2 a^{-10} -z^2 a^{-12} -z a^{-1} -3 z a^{-3} -6 z a^{-5} -3 z a^{-7} +2 z a^{-9} +z a^{-11} + a^{-2} +6 a^{-4} +5 a^{-6} + a^{-8} }[/math] |
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