K13n2217
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Polynomial invariants
| Jones polynomial | Data:K13n2217/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-3 t^2+4 t-3+4 t^{-1} -3 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n2217/Conway Polynomial |
| Determinant | 19 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-a^2 z^4-z^4 a^{-2} +z^4 a^{-4} +4 z^4-2 a^2 z^2-3 z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-6} +4 z^2- a^{-2} +2 a^{-4} - a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+3 a z^9+3 z^9 a^{-1} +z^9 a^{-3} +z^9 a^{-5} +3 a^2 z^8-6 z^8 a^{-2} +z^8 a^{-4} +2 z^8 a^{-6} -2 z^8+a^3 z^7-14 a z^7-17 z^7 a^{-1} -8 z^7 a^{-3} -5 z^7 a^{-5} +z^7 a^{-7} -14 a^2 z^6+8 z^6 a^{-2} -9 z^6 a^{-4} -11 z^6 a^{-6} -8 z^6-4 a^3 z^5+16 a z^5+27 z^5 a^{-1} +14 z^5 a^{-3} +2 z^5 a^{-5} -5 z^5 a^{-7} +16 a^2 z^4-2 z^4 a^{-2} +15 z^4 a^{-4} +15 z^4 a^{-6} +14 z^4+3 a^3 z^3-6 a z^3-18 z^3 a^{-1} -9 z^3 a^{-3} +6 z^3 a^{-5} +6 z^3 a^{-7} -4 a^2 z^2-4 z^2 a^{-2} -8 z^2 a^{-4} -6 z^2 a^{-6} -6 z^2+a z+3 z a^{-1} +2 z a^{-3} -2 z a^{-5} -2 z a^{-7} + a^{-2} +2 a^{-4} + a^{-6} +1 }[/math] |
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