K12n94
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{10}-4 q^9+7 q^8-10 q^7+12 q^6-12 q^5+11 q^4-8 q^3+5 q^2-2 q+1 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+9 t^2-16 t+19-16 t^{-1} +9 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-3 z^4+2 z^2+1 }[/math] |
| Determinant | 73 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -z^6 a^{-6} +z^4 a^{-2} -3 z^4 a^{-4} -2 z^4 a^{-6} +z^4 a^{-8} +3 z^2 a^{-2} -3 z^2 a^{-4} +z^2 a^{-6} +z^2 a^{-8} +2 a^{-2} -2 a^{-4} +2 a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +2 z^9 a^{-5} +4 z^9 a^{-7} +2 z^9 a^{-9} +2 z^8 a^{-4} -z^8 a^{-8} +z^8 a^{-10} +2 z^7 a^{-3} -3 z^7 a^{-5} -11 z^7 a^{-7} -6 z^7 a^{-9} +z^6 a^{-2} -2 z^6 a^{-4} +z^6 a^{-6} +5 z^6 a^{-8} +z^6 a^{-10} -6 z^5 a^{-3} +z^5 a^{-5} +20 z^5 a^{-7} +17 z^5 a^{-9} +4 z^5 a^{-11} -4 z^4 a^{-2} -7 z^4 a^{-4} -7 z^4 a^{-6} -5 z^4 a^{-8} +z^4 a^{-12} +4 z^3 a^{-3} -3 z^3 a^{-5} -18 z^3 a^{-7} -16 z^3 a^{-9} -5 z^3 a^{-11} +5 z^2 a^{-2} +8 z^2 a^{-4} +6 z^2 a^{-6} +3 z^2 a^{-8} -z^2 a^{-10} -z^2 a^{-12} +z a^{-5} +5 z a^{-7} +5 z a^{-9} +z a^{-11} -2 a^{-2} -2 a^{-4} -2 a^{-6} - a^{-8} }[/math] |
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