K13n3639
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Polynomial invariants
| Jones polynomial | Data:K13n3639/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-18 t^2+31 t-35+31 t^{-1} -18 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3639/Conway Polynomial |
| Determinant | 147 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-11 z^4 a^{-2} +3 z^4 a^{-4} +7 z^4-2 a^2 z^2-13 z^2 a^{-2} +4 z^2 a^{-4} +8 z^2-6 a^{-2} +3 a^{-4} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +7 z^{10} a^{-2} +3 z^{10} a^{-4} +4 z^{10}+6 a z^9+13 z^9 a^{-1} +10 z^9 a^{-3} +3 z^9 a^{-5} +4 a^2 z^8-4 z^8 a^{-2} +z^8 a^{-4} +z^8 a^{-6} +a^3 z^7-18 a z^7-48 z^7 a^{-1} -31 z^7 a^{-3} -2 z^7 a^{-5} -14 a^2 z^6-38 z^6 a^{-2} -13 z^6 a^{-4} +4 z^6 a^{-6} -35 z^6-3 a^3 z^5+14 a z^5+49 z^5 a^{-1} +32 z^5 a^{-3} +4 z^5 a^{-5} +4 z^5 a^{-7} +15 a^2 z^4+63 z^4 a^{-2} +24 z^4 a^{-4} -2 z^4 a^{-6} +z^4 a^{-8} +51 z^4+2 a^3 z^3-5 a z^3-24 z^3 a^{-1} -14 z^3 a^{-3} -3 z^3 a^{-7} -6 a^2 z^2-37 z^2 a^{-2} -15 z^2 a^{-4} -z^2 a^{-8} -27 z^2+2 a z+6 z a^{-1} +3 z a^{-3} -z a^{-5} +6 a^{-2} +3 a^{-4} +4 }[/math] |
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