K12n793
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{10}-2 q^9+4 q^8-7 q^7+9 q^6-10 q^5+9 q^4-8 q^3+6 q^2-3 q+2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+9 t^2-12 t+13-12 t^{-1} +9 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -3 z^6-9 z^4-3 z^2+1 }[/math] |
| Determinant | 61 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-4} -z^6 a^{-6} +2 z^4 a^{-2} -9 z^4 a^{-4} -3 z^4 a^{-6} +z^4 a^{-8} +7 z^2 a^{-2} -12 z^2 a^{-4} -z^2 a^{-6} +3 z^2 a^{-8} +5 a^{-2} -6 a^{-4} + a^{-6} + a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-3} +4 z^9 a^{-5} +3 z^9 a^{-7} -4 z^8 a^{-4} +4 z^8 a^{-8} -3 z^7 a^{-3} -17 z^7 a^{-5} -10 z^7 a^{-7} +4 z^7 a^{-9} +3 z^6 a^{-2} +12 z^6 a^{-4} -6 z^6 a^{-6} -12 z^6 a^{-8} +3 z^6 a^{-10} +3 z^5 a^{-3} +32 z^5 a^{-5} +17 z^5 a^{-7} -10 z^5 a^{-9} +2 z^5 a^{-11} -13 z^4 a^{-2} -27 z^4 a^{-4} +9 z^4 a^{-6} +17 z^4 a^{-8} -5 z^4 a^{-10} +z^4 a^{-12} -6 z^3 a^{-3} -34 z^3 a^{-5} -13 z^3 a^{-7} +12 z^3 a^{-9} -3 z^3 a^{-11} +16 z^2 a^{-2} +22 z^2 a^{-4} -5 z^2 a^{-6} -6 z^2 a^{-8} +3 z^2 a^{-10} -2 z^2 a^{-12} +5 z a^{-3} +11 z a^{-5} +4 z a^{-7} -2 z a^{-9} -5 a^{-2} -6 a^{-4} - a^{-6} + a^{-8} }[/math] |
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