K12n340
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^8-2 q^7+2 q^6-3 q^5+3 q^4-2 q^3+2 q^2-q+1 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+3 t^2-3 t+3-3 t^{-1} +3 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-3 z^4+1 }[/math] |
| Determinant | 17 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} +z^4 a^{-2} -5 z^4 a^{-4} +z^4 a^{-6} +4 z^2 a^{-2} -7 z^2 a^{-4} +3 z^2 a^{-6} +3 a^{-2} -3 a^{-4} + a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-3} +3 z^9 a^{-5} +2 z^9 a^{-7} -6 z^8 a^{-4} -5 z^8 a^{-6} +z^8 a^{-8} -6 z^7 a^{-3} -19 z^7 a^{-5} -13 z^7 a^{-7} +z^6 a^{-2} +12 z^6 a^{-4} +5 z^6 a^{-6} -6 z^6 a^{-8} +11 z^5 a^{-3} +37 z^5 a^{-5} +26 z^5 a^{-7} -6 z^4 a^{-2} -15 z^4 a^{-4} +z^4 a^{-6} +10 z^4 a^{-8} -z^3 a^{-1} -11 z^3 a^{-3} -28 z^3 a^{-5} -18 z^3 a^{-7} +7 z^2 a^{-2} +11 z^2 a^{-4} -4 z^2 a^{-8} +z a^{-1} +5 z a^{-3} +7 z a^{-5} +3 z a^{-7} -3 a^{-2} -3 a^{-4} - a^{-6} }[/math] |
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