K13n1858
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Polynomial invariants
| Jones polynomial | Data:K13n1858/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+8 t^2-24 t+35-24 t^{-1} +8 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n1858/Conway Polynomial |
| Determinant | 101 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6+a^2 z^4+3 z^4 a^{-2} -2 z^4-a^2 z^2+5 z^2 a^{-2} -2 z^2 a^{-4} -3 z^2+a^4-a^2+3 a^{-2} - a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+3 a z^9+5 z^9 a^{-1} +2 z^9 a^{-3} +3 a^2 z^8+4 z^8 a^{-2} +z^8 a^{-4} +6 z^8+a^3 z^7+z^7 a^{-3} -z^6 a^{-2} +4 z^6 a^{-4} -5 z^6+5 a^3 z^5+2 a z^5-11 z^5 a^{-1} -5 z^5 a^{-3} +3 z^5 a^{-5} +3 a^4 z^4+2 a^2 z^4-17 z^4 a^{-2} -12 z^4 a^{-4} -6 z^4-6 a^3 z^3-6 a z^3+5 z^3 a^{-1} -5 z^3 a^{-5} -3 a^4 z^2-5 a^2 z^2+15 z^2 a^{-2} +8 z^2 a^{-4} +5 z^2+2 a^3 z+2 a z+z a^{-3} +z a^{-5} +a^4+a^2-3 a^{-2} - a^{-4} -1 }[/math] |
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