K12n659
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -3 q^9+6 q^8-9 q^7+12 q^6-12 q^5+12 q^4-9 q^3+6 q^2-3 q+1 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+10 t^2-16 t+17-16 t^{-1} +10 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-2 z^4+6 z^2+1 }[/math] |
| Determinant | 73 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -z^6 a^{-6} +z^4 a^{-2} -2 z^4 a^{-4} -2 z^4 a^{-6} +z^4 a^{-8} +2 z^2 a^{-2} +z^2 a^{-4} +z^2 a^{-6} +2 z^2 a^{-8} + a^{-4} + a^{-6} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +3 z^9 a^{-5} +4 z^9 a^{-7} +z^9 a^{-9} +4 z^8 a^{-4} +2 z^8 a^{-6} -2 z^8 a^{-8} +3 z^7 a^{-3} -6 z^7 a^{-5} -10 z^7 a^{-7} -z^7 a^{-9} +z^6 a^{-2} -11 z^6 a^{-4} -7 z^6 a^{-6} +8 z^6 a^{-8} +3 z^6 a^{-10} -9 z^5 a^{-3} +3 z^5 a^{-5} +15 z^5 a^{-7} +3 z^5 a^{-9} -3 z^4 a^{-2} +8 z^4 a^{-4} +3 z^4 a^{-6} -9 z^4 a^{-8} -z^4 a^{-10} +6 z^3 a^{-3} -4 z^3 a^{-5} -12 z^3 a^{-7} +3 z^3 a^{-9} +5 z^3 a^{-11} +2 z^2 a^{-2} -4 z^2 a^{-4} +5 z^2 a^{-8} -z^2 a^{-10} +z a^{-5} +3 z a^{-7} -3 z a^{-9} -5 z a^{-11} + a^{-4} - a^{-6} + a^{-10} }[/math] |
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