K13n2597
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Polynomial invariants
| Jones polynomial | Data:K13n2597/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-19 t^2+38 t-47+38 t^{-1} -19 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2597/Conway Polynomial |
| Determinant | 175 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +2 z^6 a^{-2} -5 z^6 a^{-4} +z^6 a^{-6} +6 z^4 a^{-2} -11 z^4 a^{-4} +3 z^4 a^{-6} -z^4+7 z^2 a^{-2} -10 z^2 a^{-4} +4 z^2 a^{-6} -z^2+3 a^{-2} -3 a^{-4} + a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +7 z^{10} a^{-4} +5 z^{10} a^{-6} +z^9 a^{-1} +7 z^9 a^{-3} +15 z^9 a^{-5} +9 z^9 a^{-7} +2 z^8 a^{-2} -z^8 a^{-4} +5 z^8 a^{-6} +8 z^8 a^{-8} +5 z^7 a^{-1} -7 z^7 a^{-3} -30 z^7 a^{-5} -14 z^7 a^{-7} +4 z^7 a^{-9} +3 z^6 a^{-2} -11 z^6 a^{-4} -26 z^6 a^{-6} -16 z^6 a^{-8} +z^6 a^{-10} +5 z^6+a z^5-5 z^5 a^{-1} -z^5 a^{-3} +16 z^5 a^{-5} +3 z^5 a^{-7} -8 z^5 a^{-9} -10 z^4 a^{-2} +z^4 a^{-4} +17 z^4 a^{-6} +10 z^4 a^{-8} -2 z^4 a^{-10} -6 z^4-a z^3+2 z^3 a^{-3} -4 z^3 a^{-5} +5 z^3 a^{-9} +8 z^2 a^{-2} +9 z^2 a^{-4} -2 z^2 a^{-6} -3 z^2 a^{-8} +z^2 a^{-10} +z^2+z a^{-3} +z a^{-5} -z a^{-7} -z a^{-9} -3 a^{-2} -3 a^{-4} - a^{-6} }[/math] |
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