K12n624
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{11}+2 q^{10}-3 q^9+3 q^8-3 q^7+3 q^6-q^5+q^3-q^2+q }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3-6 t+9-6 t^{-1} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^8-5 z^6-2 z^4+5 z^2+1 }[/math] |
| Determinant | 13 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -7 z^6 a^{-6} +z^6 a^{-8} +6 z^4 a^{-4} -15 z^4 a^{-6} +7 z^4 a^{-8} +9 z^2 a^{-4} -13 z^2 a^{-6} +11 z^2 a^{-8} -2 z^2 a^{-10} +3 a^{-4} -4 a^{-6} +4 a^{-8} -2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{-5} +z^9 a^{-7} +z^8 a^{-4} +2 z^8 a^{-6} +2 z^8 a^{-8} +z^8 a^{-10} -7 z^7 a^{-5} -7 z^7 a^{-7} +2 z^7 a^{-9} +2 z^7 a^{-11} -7 z^6 a^{-4} -15 z^6 a^{-6} -14 z^6 a^{-8} -4 z^6 a^{-10} +2 z^6 a^{-12} +14 z^5 a^{-5} +12 z^5 a^{-7} -10 z^5 a^{-9} -7 z^5 a^{-11} +z^5 a^{-13} +15 z^4 a^{-4} +31 z^4 a^{-6} +28 z^4 a^{-8} +6 z^4 a^{-10} -6 z^4 a^{-12} -9 z^3 a^{-5} -4 z^3 a^{-7} +14 z^3 a^{-9} +6 z^3 a^{-11} -3 z^3 a^{-13} -12 z^2 a^{-4} -21 z^2 a^{-6} -17 z^2 a^{-8} -6 z^2 a^{-10} +2 z^2 a^{-12} -4 z a^{-9} -3 z a^{-11} +z a^{-13} +3 a^{-4} +4 a^{-6} +4 a^{-8} +2 a^{-10} }[/math] |
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