K13n3590
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Polynomial invariants
| Jones polynomial | Data:K13n3590/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-5 t^4+11 t^3-14 t^2+14 t-13+14 t^{-1} -14 t^{-2} +11 t^{-3} -5 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n3590/Conway Polynomial |
| Determinant | 103 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +7 z^8 a^{-2} -z^8 a^{-4} -z^8+17 z^6 a^{-2} -6 z^6 a^{-4} -5 z^6+18 z^4 a^{-2} -10 z^4 a^{-4} +z^4 a^{-6} -7 z^4+8 z^2 a^{-2} -4 z^2 a^{-4} +z^2 a^{-6} -3 z^2+ a^{-2} + a^{-4} - a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-1} +3 z^{11} a^{-3} +12 z^{10} a^{-2} +5 z^{10} a^{-4} +7 z^{10}+7 a z^9-4 z^9 a^{-1} -9 z^9 a^{-3} +2 z^9 a^{-5} +4 a^2 z^8-59 z^8 a^{-2} -27 z^8 a^{-4} -28 z^8+a^3 z^7-27 a z^7-24 z^7 a^{-1} -5 z^7 a^{-3} -9 z^7 a^{-5} -14 a^2 z^6+94 z^6 a^{-2} +51 z^6 a^{-4} +z^6 a^{-6} +30 z^6-3 a^3 z^5+25 a z^5+46 z^5 a^{-1} +33 z^5 a^{-3} +15 z^5 a^{-5} +9 a^2 z^4-57 z^4 a^{-2} -34 z^4 a^{-4} -z^4 a^{-6} -15 z^4+a^3 z^3-9 a z^3-24 z^3 a^{-1} -21 z^3 a^{-3} -6 z^3 a^{-5} +z^3 a^{-7} -a^2 z^2+13 z^2 a^{-2} +7 z^2 a^{-4} -z^2 a^{-6} +4 z^2+a z+3 z a^{-1} +3 z a^{-3} -z a^{-5} -2 z a^{-7} - a^{-2} + a^{-4} + a^{-6} }[/math] |
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