K13n1708
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Polynomial invariants
| Jones polynomial | Data:K13n1708/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-3 t^2+3 t-1+3 t^{-1} -3 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n1708/Conway Polynomial |
| Determinant | 15 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +5 z^4 a^{-2} -z^4 a^{-4} -z^4+7 z^2 a^{-2} -3 z^2 a^{-4} -4 z^2+a^2+3 a^{-2} - a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +3 z^{10} a^{-2} +2 z^{10} a^{-4} +z^{10}-7 z^9 a^{-1} -6 z^9 a^{-3} +z^9 a^{-5} -22 z^8 a^{-2} -15 z^8 a^{-4} -7 z^8+a z^7+17 z^7 a^{-1} +9 z^7 a^{-3} -7 z^7 a^{-5} +53 z^6 a^{-2} +37 z^6 a^{-4} +16 z^6-7 a z^5-23 z^5 a^{-1} -z^5 a^{-3} +15 z^5 a^{-5} -a^2 z^4-53 z^4 a^{-2} -35 z^4 a^{-4} -19 z^4+10 a z^3+18 z^3 a^{-1} -2 z^3 a^{-3} -10 z^3 a^{-5} +a^2 z^2+22 z^2 a^{-2} +11 z^2 a^{-4} +12 z^2-a^3 z-4 a z-4 z a^{-1} +z a^{-5} -a^2-3 a^{-2} - a^{-4} -2 }[/math] |
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