K12n720
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{10}-4 q^9+8 q^8-13 q^7+16 q^6-17 q^5+16 q^4-12 q^3+9 q^2-4 q+1 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+11 t^2-23 t+29-23 t^{-1} +11 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-z^4+3 z^2+1 }[/math] |
| Determinant | 101 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -z^6 a^{-6} +z^4 a^{-2} -z^4 a^{-4} -2 z^4 a^{-6} +z^4 a^{-8} +z^2 a^{-2} +3 z^2 a^{-4} -2 z^2 a^{-6} +z^2 a^{-8} +3 a^{-4} -2 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-6} +2 z^{10} a^{-8} +6 z^9 a^{-5} +9 z^9 a^{-7} +3 z^9 a^{-9} +7 z^8 a^{-4} +5 z^8 a^{-6} -z^8 a^{-8} +z^8 a^{-10} +4 z^7 a^{-3} -13 z^7 a^{-5} -25 z^7 a^{-7} -8 z^7 a^{-9} +z^6 a^{-2} -18 z^6 a^{-4} -24 z^6 a^{-6} -3 z^6 a^{-8} +2 z^6 a^{-10} -9 z^5 a^{-3} +5 z^5 a^{-5} +28 z^5 a^{-7} +18 z^5 a^{-9} +4 z^5 a^{-11} -2 z^4 a^{-2} +11 z^4 a^{-4} +24 z^4 a^{-6} +10 z^4 a^{-8} +z^4 a^{-12} +3 z^3 a^{-3} -z^3 a^{-5} -12 z^3 a^{-7} -13 z^3 a^{-9} -5 z^3 a^{-11} +z^2 a^{-2} -6 z^2 a^{-4} -10 z^2 a^{-6} -4 z^2 a^{-8} -2 z^2 a^{-10} -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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