K13n3638
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Polynomial invariants
| Jones polynomial | Data:K13n3638/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+14 t^2-19 t+21-19 t^{-1} +14 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3638/Conway Polynomial |
| Determinant | 101 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -2 z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -8 z^4 a^{-2} +9 z^4 a^{-4} -4 z^4 a^{-6} +z^4-9 z^2 a^{-2} +9 z^2 a^{-4} -5 z^2 a^{-6} +z^2 a^{-8} +3 z^2-3 a^{-2} +4 a^{-4} -3 a^{-6} + a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +6 z^{10} a^{-4} +3 z^{10} a^{-6} +3 z^9 a^{-1} +6 z^9 a^{-3} +6 z^9 a^{-5} +3 z^9 a^{-7} -8 z^8 a^{-2} -14 z^8 a^{-4} -4 z^8 a^{-6} +z^8 a^{-8} +z^8-14 z^7 a^{-1} -37 z^7 a^{-3} -29 z^7 a^{-5} -6 z^7 a^{-7} -7 z^6 a^{-2} -13 z^6 a^{-4} -11 z^6 a^{-6} -5 z^6+21 z^5 a^{-1} +46 z^5 a^{-3} +25 z^5 a^{-5} +z^5 a^{-7} +z^5 a^{-9} +28 z^4 a^{-2} +35 z^4 a^{-4} +18 z^4 a^{-6} +2 z^4 a^{-8} +9 z^4-11 z^3 a^{-1} -17 z^3 a^{-3} -6 z^3 a^{-5} +4 z^3 a^{-7} +4 z^3 a^{-9} -18 z^2 a^{-2} -19 z^2 a^{-4} -12 z^2 a^{-6} -2 z^2 a^{-8} +2 z^2 a^{-10} -7 z^2+z a^{-1} +2 z a^{-3} -3 z a^{-7} -2 z a^{-9} +3 a^{-2} +4 a^{-4} +3 a^{-6} + a^{-8} +2 }[/math] |
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