K12n106
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -2 q^5+4 q^4-7 q^3+11 q^2-12 q+14-12 q^{-1} +9 q^{-2} -6 q^{-3} +3 q^{-4} - q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^3+10 t^2-16 t+19-16 t^{-1} +10 t^{-2} -4 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^8+4 z^6+6 z^4+4 z^2+1 }[/math] |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-a^2 z^6-z^6 a^{-2} +6 z^6-4 a^2 z^4-3 z^4 a^{-2} +13 z^4-5 a^2 z^2-z^2 a^{-2} -z^2 a^{-4} +11 z^2-2 a^2+2 a^{-2} -2 a^{-4} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+3 a z^9+5 z^9 a^{-1} +2 z^9 a^{-3} +4 a^2 z^8+z^8 a^{-2} +z^8 a^{-4} +4 z^8+4 a^3 z^7-4 a z^7-14 z^7 a^{-1} -6 z^7 a^{-3} +3 a^4 z^6-6 a^2 z^6-8 z^6 a^{-2} -17 z^6+a^5 z^5-6 a^3 z^5+2 a z^5+18 z^5 a^{-1} +12 z^5 a^{-3} +3 z^5 a^{-5} -6 a^4 z^4+4 a^2 z^4+13 z^4 a^{-2} -5 z^4 a^{-4} +28 z^4-2 a^5 z^3+2 a z^3-8 z^3 a^{-1} -17 z^3 a^{-3} -9 z^3 a^{-5} +2 a^4 z^2-5 a^2 z^2-5 z^2 a^{-2} +3 z^2 a^{-4} -15 z^2+a^5 z-a z+3 z a^{-1} +8 z a^{-3} +5 z a^{-5} +2 a^2-2 a^{-2} -2 a^{-4} +3 }[/math] |
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