K13n375
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Polynomial invariants
| Jones polynomial | Data:K13n375/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^2-4 t+7-4 t^{-1} + t^{-2} }[/math] |
| Conway polynomial | Data:K13n375/Conway Polynomial |
| Determinant | 17 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} +z^6-a^2 z^4+z^4 a^{-2} -4 z^4 a^{-4} +z^4 a^{-6} +4 z^4-2 a^2 z^2+3 z^2 a^{-2} -6 z^2 a^{-4} +2 z^2 a^{-6} +3 z^2+3 a^{-2} -3 a^{-4} + a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +5 z^{10} a^{-4} +3 z^{10} a^{-6} +z^{10}+3 a z^9+4 z^9 a^{-1} -z^9 a^{-3} +z^9 a^{-5} +3 z^9 a^{-7} +3 a^2 z^8-20 z^8 a^{-2} -29 z^8 a^{-4} -14 z^8 a^{-6} +z^8 a^{-8} -3 z^8+a^3 z^7-15 a z^7-29 z^7 a^{-1} -26 z^7 a^{-3} -29 z^7 a^{-5} -16 z^7 a^{-7} -14 a^2 z^6+30 z^6 a^{-2} +44 z^6 a^{-4} +14 z^6 a^{-6} -5 z^6 a^{-8} -9 z^6-4 a^3 z^5+17 a z^5+50 z^5 a^{-1} +60 z^5 a^{-3} +56 z^5 a^{-5} +25 z^5 a^{-7} +15 a^2 z^4-17 z^4 a^{-2} -28 z^4 a^{-4} -2 z^4 a^{-6} +7 z^4 a^{-8} +17 z^4+3 a^3 z^3-8 a z^3-32 z^3 a^{-1} -44 z^3 a^{-3} -38 z^3 a^{-5} -15 z^3 a^{-7} -5 a^2 z^2+8 z^2 a^{-2} +12 z^2 a^{-4} -3 z^2 a^{-8} -6 z^2+2 a z+7 z a^{-1} +11 z a^{-3} +9 z a^{-5} +3 z a^{-7} -3 a^{-2} -3 a^{-4} - a^{-6} }[/math] |
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