K12n385
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-4 q^5+7 q^4-10 q^3+12 q^2-12 q+12-8 q^{-1} +5 q^{-2} -2 q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+7 t^2-17 t+23-17 t^{-1} +7 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+z^4+2 z^2+1 }[/math] |
| Determinant | 73 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -3 z^4 a^{-2} +z^4 a^{-4} +3 z^4-2 a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} +7 z^2-2 a^2-2 a^{-2} +5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+a z^9+5 z^9 a^{-1} +4 z^9 a^{-3} +5 z^8 a^{-2} +6 z^8 a^{-4} -z^8-3 a z^7-15 z^7 a^{-1} -8 z^7 a^{-3} +4 z^7 a^{-5} +a^2 z^6-23 z^6 a^{-2} -18 z^6 a^{-4} +z^6 a^{-6} -3 z^6+7 a z^5+15 z^5 a^{-1} -3 z^5 a^{-3} -11 z^5 a^{-5} +3 a^2 z^4+26 z^4 a^{-2} +12 z^4 a^{-4} -2 z^4 a^{-6} +15 z^4+2 a^3 z^3+a z^3+z^3 a^{-1} +7 z^3 a^{-3} +5 z^3 a^{-5} -5 a^2 z^2-11 z^2 a^{-2} -3 z^2 a^{-4} -13 z^2-2 a^3 z-4 a z-4 z a^{-1} -2 z a^{-3} +2 a^2+2 a^{-2} +5 }[/math] |
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