K13n3496
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Polynomial invariants
| Jones polynomial | Data:K13n3496/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-5 t^2+5 t-3+5 t^{-1} -5 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3496/Conway Polynomial |
| Determinant | 27 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6-a^2 z^4+4 z^4 a^{-2} +4 z^4-3 a^2 z^2+3 z^2 a^{-2} -z^2 a^{-4} -z^2 a^{-6} +5 z^2-2 a^2- a^{-4} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+2 a z^9+3 z^9 a^{-1} +2 z^9 a^{-3} +z^9 a^{-5} +2 a^2 z^8-5 z^8 a^{-2} +z^8 a^{-4} +2 z^8 a^{-6} -2 z^8+a^3 z^7-7 a z^7-14 z^7 a^{-1} -14 z^7 a^{-3} -7 z^7 a^{-5} +z^7 a^{-7} -9 a^2 z^6+7 z^6 a^{-2} -9 z^6 a^{-4} -12 z^6 a^{-6} -5 z^6-5 a^3 z^5+a z^5+17 z^5 a^{-1} +27 z^5 a^{-3} +11 z^5 a^{-5} -5 z^5 a^{-7} +11 a^2 z^4-7 z^4 a^{-2} +14 z^4 a^{-4} +17 z^4 a^{-6} +7 z^4+7 a^3 z^3+8 a z^3-7 z^3 a^{-1} -17 z^3 a^{-3} -4 z^3 a^{-5} +5 z^3 a^{-7} -6 a^2 z^2+4 z^2 a^{-2} -2 z^2 a^{-4} -5 z^2 a^{-6} -5 z^2-3 a^3 z-5 a z-2 z a^{-1} +z a^{-3} -z a^{-7} +2 a^2- a^{-4} +4 }[/math] |
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