K12n573
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-3 q^5+5 q^4-7 q^3+9 q^2-9 q+9-7 q^{-1} +4 q^{-2} -2 q^{-3} + q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+7 t^2-12 t+15-12 t^{-1} +7 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-5 z^4-2 z^2+1 }[/math] |
| Determinant | 57 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+a^2 z^4-3 z^4 a^{-2} +z^4 a^{-4} -4 z^4+3 a^2 z^2-z^2 a^{-2} +2 z^2 a^{-4} -6 z^2+2 a^2+2 a^{-2} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+a z^9+4 z^9 a^{-1} +3 z^9 a^{-3} +4 z^8 a^{-4} -4 z^8-4 a z^7-17 z^7 a^{-1} -10 z^7 a^{-3} +3 z^7 a^{-5} +3 a^2 z^6-8 z^6 a^{-2} -14 z^6 a^{-4} +z^6 a^{-6} +10 z^6+2 a^3 z^5+11 a z^5+29 z^5 a^{-1} +10 z^5 a^{-3} -10 z^5 a^{-5} +a^4 z^4-6 a^2 z^4+11 z^4 a^{-2} +12 z^4 a^{-4} -3 z^4 a^{-6} -11 z^4-4 a^3 z^3-10 a z^3-18 z^3 a^{-1} -6 z^3 a^{-3} +6 z^3 a^{-5} -2 a^4 z^2+5 a^2 z^2-2 z^2 a^{-2} -4 z^2 a^{-4} +z^2 a^{-6} +10 z^2+2 a^3 z+4 a z+4 z a^{-1} +2 z a^{-3} -2 a^2-2 a^{-2} -3 }[/math] |
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