K12n158
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-4 q^5+7 q^4-11 q^3+15 q^2-15 q+15-12 q^{-1} +8 q^{-2} -4 q^{-3} + q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+8 t^2-22 t+31-22 t^{-1} +8 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+2 z^4+z^2+1 }[/math] |
| Determinant | 93 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -3 z^4 a^{-2} +z^4 a^{-4} +4 z^4-4 a^2 z^2-5 z^2 a^{-2} +z^2 a^{-4} +9 z^2+a^4-4 a^2-2 a^{-2} +6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+3 a z^9+7 z^9 a^{-1} +4 z^9 a^{-3} +2 a^2 z^8+10 z^8 a^{-2} +6 z^8 a^{-4} +6 z^8-9 a z^7-17 z^7 a^{-1} -4 z^7 a^{-3} +4 z^7 a^{-5} -5 a^2 z^6-39 z^6 a^{-2} -17 z^6 a^{-4} +z^6 a^{-6} -26 z^6+4 a^3 z^5+20 a z^5+15 z^5 a^{-1} -12 z^5 a^{-3} -11 z^5 a^{-5} +a^4 z^4+15 a^2 z^4+47 z^4 a^{-2} +13 z^4 a^{-4} -2 z^4 a^{-6} +46 z^4-5 a^3 z^3-14 a z^3-3 z^3 a^{-1} +12 z^3 a^{-3} +6 z^3 a^{-5} -2 a^4 z^2-15 a^2 z^2-22 z^2 a^{-2} -5 z^2 a^{-4} -30 z^2+a^3 z+2 a z-z a^{-3} +a^4+4 a^2+2 a^{-2} +6 }[/math] |
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