K12n812
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-3 q^5+3 q^4-3 q^3+3 q^2-q+1+ q^{-1} -2 q^{-2} +2 q^{-3} - q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^2-2 t+3-2 t^{-1} + t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^4+2 z^2+1 }[/math] |
| Determinant | 9 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} +z^6-a^2 z^4-5 z^4 a^{-2} +z^4 a^{-4} +6 z^4-3 a^2 z^2-7 z^2 a^{-2} +2 z^2 a^{-4} +10 z^2-2 a^2-2 a^{-2} +5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^9+z^9 a^{-1} +2 a^2 z^8+2 z^8 a^{-2} +2 z^8 a^{-4} +2 z^8+a^3 z^7-5 a z^7-6 z^7 a^{-1} +3 z^7 a^{-3} +3 z^7 a^{-5} -11 a^2 z^6-13 z^6 a^{-2} -8 z^6 a^{-4} +z^6 a^{-6} -15 z^6-5 a^3 z^5+2 a z^5+5 z^5 a^{-1} -14 z^5 a^{-3} -12 z^5 a^{-5} +15 a^2 z^4+22 z^4 a^{-2} +6 z^4 a^{-4} -3 z^4 a^{-6} +28 z^4+6 a^3 z^3+7 a z^3+5 z^3 a^{-1} +13 z^3 a^{-3} +9 z^3 a^{-5} -7 a^2 z^2-14 z^2 a^{-2} -2 z^2 a^{-4} +z^2 a^{-6} -18 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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