K12n452
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^7-5 q^6+7 q^5-9 q^4+10 q^3-9 q^2+7 q-4+2 q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -4 t^2+14 t-19+14 t^{-1} -4 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -4 z^4-2 z^2+1 }[/math] |
| Determinant | 55 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^4 a^{-2} -2 z^4 a^{-4} -3 z^2 a^{-2} -3 z^2 a^{-4} +2 z^2 a^{-6} +2 z^2- a^{-2} - a^{-4} + a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{-3} +z^9 a^{-5} +2 z^8 a^{-2} +4 z^8 a^{-4} +2 z^8 a^{-6} +z^7 a^{-1} +z^7 a^{-3} +z^7 a^{-5} +z^7 a^{-7} -4 z^6 a^{-2} -6 z^6 a^{-4} -2 z^6 a^{-6} +z^5 a^{-1} -2 z^5 a^{-3} +3 z^5 a^{-7} +8 z^4 a^{-2} +3 z^4 a^{-4} +z^4 a^{-6} +3 z^4 a^{-8} +3 z^4-3 z^3 a^{-1} +2 z^3 a^{-3} -3 z^3 a^{-5} -8 z^3 a^{-7} -7 z^2 a^{-2} +3 z^2 a^{-4} -4 z^2 a^{-8} -6 z^2+2 z a^{-5} +2 z a^{-7} + a^{-2} - a^{-4} - a^{-6} +2 }[/math] |
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