K12n556
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+3 q^6-5 q^5+10 q^4-12 q^3+12 q^2-14 q+11-7 q^{-1} +5 q^{-2} - q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 4 t^2-20 t+33-20 t^{-1} +4 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 4 z^4-4 z^2+1 }[/math] |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^4 a^{-2} +z^4 a^{-4} +z^4-a^2 z^2-z^2 a^{-6} -2 z^2+2 a^2-2 a^{-2} +2 a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +4 z^9 a^{-1} +7 z^9 a^{-3} +3 z^9 a^{-5} +8 z^8 a^{-2} +6 z^8 a^{-4} +3 z^8 a^{-6} +5 z^8+2 a z^7-10 z^7 a^{-1} -22 z^7 a^{-3} -9 z^7 a^{-5} +z^7 a^{-7} -38 z^6 a^{-2} -35 z^6 a^{-4} -13 z^6 a^{-6} -16 z^6+14 z^5 a^{-1} +23 z^5 a^{-3} +5 z^5 a^{-5} -4 z^5 a^{-7} +5 a^2 z^4+55 z^4 a^{-2} +50 z^4 a^{-4} +18 z^4 a^{-6} +28 z^4+a^3 z^3-a z^3-19 z^3 a^{-1} -23 z^3 a^{-3} -2 z^3 a^{-5} +4 z^3 a^{-7} -3 a^2 z^2-34 z^2 a^{-2} -30 z^2 a^{-4} -9 z^2 a^{-6} -16 z^2+4 a z+16 z a^{-1} +16 z a^{-3} +4 z a^{-5} -2 a^2+2 a^{-2} +2 a^{-4} -1 }[/math] |
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