K12n482
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-4 q^5+7 q^4-9 q^3+11 q^2-11 q+10-7 q^{-1} +4 q^{-2} - q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+6 t^2-15 t+21-15 t^{-1} +6 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 1-z^6 }[/math] |
| Determinant | 65 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -3 z^4 a^{-2} +z^4 a^{-4} +2 z^4-a^2 z^2-3 z^2 a^{-2} +z^2 a^{-4} +3 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+a z^9+5 z^9 a^{-1} +4 z^9 a^{-3} +4 z^8 a^{-2} +6 z^8 a^{-4} -2 z^8-5 a z^7-19 z^7 a^{-1} -10 z^7 a^{-3} +4 z^7 a^{-5} -23 z^6 a^{-2} -19 z^6 a^{-4} +z^6 a^{-6} -3 z^6+12 a z^5+25 z^5 a^{-1} +2 z^5 a^{-3} -11 z^5 a^{-5} +3 a^2 z^4+28 z^4 a^{-2} +13 z^4 a^{-4} -2 z^4 a^{-6} +16 z^4-6 a z^3-8 z^3 a^{-1} +2 z^3 a^{-3} +4 z^3 a^{-5} -3 a^2 z^2-9 z^2 a^{-2} -3 z^2 a^{-4} -9 z^2+1 }[/math] |
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