K12n603
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^8+q^7-2 q^6+3 q^5-2 q^4+3 q^3-2 q^2+q }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-4 t^2+3-4 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^8-4 z^6+4 z^2+1 }[/math] |
| Determinant | 15 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -6 z^6 a^{-6} +z^6 a^{-8} +5 z^4 a^{-4} -10 z^4 a^{-6} +5 z^4 a^{-8} +6 z^2 a^{-4} -5 z^2 a^{-6} +4 z^2 a^{-8} -z^2 a^{-10} +2 a^{-4} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +2 z^9 a^{-5} +3 z^9 a^{-7} +z^9 a^{-9} +z^8 a^{-4} -4 z^8 a^{-6} -5 z^8 a^{-8} -12 z^7 a^{-5} -18 z^7 a^{-7} -6 z^7 a^{-9} -6 z^6 a^{-4} -2 z^6 a^{-6} +4 z^6 a^{-8} +20 z^5 a^{-5} +30 z^5 a^{-7} +10 z^5 a^{-9} +11 z^4 a^{-4} +15 z^4 a^{-6} +3 z^4 a^{-8} -z^4 a^{-10} -9 z^3 a^{-5} -17 z^3 a^{-7} -9 z^3 a^{-9} -z^3 a^{-11} -8 z^2 a^{-4} -9 z^2 a^{-6} -2 z^2 a^{-8} -z^2 a^{-10} +4 z a^{-7} +4 z a^{-9} +2 a^{-4} - a^{-8} }[/math] |
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