K12n870
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+3 q^6-4 q^5+5 q^4-5 q^3+4 q^2-3 q+2- q^{-2} + q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+3 t^2-5 t+7-5 t^{-1} +3 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-3 z^4-2 z^2+1 }[/math] |
| Determinant | 25 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -5 z^4 a^{-2} +2 z^4 a^{-4} +a^2 z^2-8 z^2 a^{-2} +6 z^2 a^{-4} -z^2 a^{-6} +a^2-4 a^{-2} +4 a^{-4} - a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^9 a^{-3} +2 z^9 a^{-5} +3 z^8 a^{-2} +6 z^8 a^{-4} +3 z^8 a^{-6} +a z^7-9 z^7 a^{-3} -7 z^7 a^{-5} +z^7 a^{-7} +a^2 z^6-18 z^6 a^{-2} -30 z^6 a^{-4} -14 z^6 a^{-6} -z^6-6 a z^5-2 z^5 a^{-1} +9 z^5 a^{-3} +z^5 a^{-5} -4 z^5 a^{-7} -5 a^2 z^4+31 z^4 a^{-2} +42 z^4 a^{-4} +17 z^4 a^{-6} +z^4+7 a z^3+2 z^3 a^{-1} -3 z^3 a^{-3} +6 z^3 a^{-5} +4 z^3 a^{-7} +5 a^2 z^2-21 z^2 a^{-2} -22 z^2 a^{-4} -6 z^2 a^{-6} -a z-2 z a^{-5} -z a^{-7} -a^2+4 a^{-2} +4 a^{-4} + a^{-6} +1 }[/math] |
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