K12n838
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^8-2 q^7+3 q^6-4 q^5+4 q^4-4 q^3+3 q^2-2 q+2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^2-6 t+11-6 t^{-1} + t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^4-2 z^2+1 }[/math] |
| Determinant | 25 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{-4} -2 z^2 a^{-2} +2 z^2 a^{-4} -2 z^2 a^{-6} -2 a^{-2} +2 a^{-4} -2 a^{-6} + a^{-8} +2 }[/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} -5 z^8 a^{-4} -4 z^8 a^{-6} +z^8 a^{-8} -5 z^7 a^{-3} -17 z^7 a^{-5} -12 z^7 a^{-7} +z^6 a^{-2} +7 z^6 a^{-4} -6 z^6 a^{-8} +8 z^5 a^{-3} +30 z^5 a^{-5} +22 z^5 a^{-7} -3 z^4 a^{-2} -3 z^4 a^{-4} +11 z^4 a^{-6} +11 z^4 a^{-8} -8 z^3 a^{-3} -22 z^3 a^{-5} -14 z^3 a^{-7} -z^2 a^{-2} -4 z^2 a^{-4} -9 z^2 a^{-6} -6 z^2 a^{-8} +2 z a^{-3} +6 z a^{-5} +4 z a^{-7} +2 a^{-2} +2 a^{-4} +2 a^{-6} + a^{-8} +2 }[/math] |
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