K12n407
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{10}-3 q^9+4 q^8-6 q^7+7 q^6-6 q^5+5 q^4-3 q^3+2 q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+5 t^2-8 t+9-8 t^{-1} +5 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-z^4+3 z^2+1 }[/math] |
| Determinant | 37 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} +2 z^4 a^{-4} -4 z^4 a^{-6} +z^4 a^{-8} +6 z^2 a^{-4} -5 z^2 a^{-6} +2 z^2 a^{-8} +3 a^{-4} -2 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{-7} +z^9 a^{-9} +2 z^8 a^{-6} +3 z^8 a^{-8} +z^8 a^{-10} +z^7 a^{-5} -3 z^7 a^{-7} -4 z^7 a^{-9} -8 z^6 a^{-6} -11 z^6 a^{-8} -3 z^6 a^{-10} -z^5 a^{-5} +6 z^5 a^{-7} +10 z^5 a^{-9} +3 z^5 a^{-11} +3 z^4 a^{-4} +15 z^4 a^{-6} +17 z^4 a^{-8} +6 z^4 a^{-10} +z^4 a^{-12} -z^3 a^{-5} -4 z^3 a^{-7} -9 z^3 a^{-9} -6 z^3 a^{-11} -8 z^2 a^{-4} -11 z^2 a^{-6} -5 z^2 a^{-8} -4 z^2 a^{-10} -2 z^2 a^{-12} -z a^{-5} +2 z a^{-7} +4 z a^{-9} +z a^{-11} +3 a^{-4} +2 a^{-6} }[/math] |
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