K12n164
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+3 q^6-6 q^5+9 q^4-12 q^3+14 q^2-13 q+12-8 q^{-1} +5 q^{-2} -2 q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+8 t^2-20 t+27-20 t^{-1} +8 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+2 z^4+3 z^2+1 }[/math] |
| Determinant | 85 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -3 z^4 a^{-2} +2 z^4 a^{-4} +3 z^4-2 a^2 z^2-5 z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-6} +7 z^2-2 a^2-3 a^{-2} +2 a^{-4} - a^{-6} +5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +3 z^9 a^{-1} +6 z^9 a^{-3} +3 z^9 a^{-5} +6 z^8 a^{-2} +5 z^8 a^{-4} +3 z^8 a^{-6} +4 z^8+3 a z^7-2 z^7 a^{-1} -14 z^7 a^{-3} -8 z^7 a^{-5} +z^7 a^{-7} +a^2 z^6-21 z^6 a^{-2} -26 z^6 a^{-4} -12 z^6 a^{-6} -6 z^6-2 a z^5-2 z^5 a^{-1} +4 z^5 a^{-3} -4 z^5 a^{-7} +4 a^2 z^4+20 z^4 a^{-2} +28 z^4 a^{-4} +14 z^4 a^{-6} +10 z^4+3 a^3 z^3+5 a z^3+z^3 a^{-3} +8 z^3 a^{-5} +5 z^3 a^{-7} -4 a^2 z^2-13 z^2 a^{-2} -11 z^2 a^{-4} -5 z^2 a^{-6} -11 z^2-2 a^3 z-3 a z-z a^{-1} -2 z a^{-5} -2 z a^{-7} +2 a^2+3 a^{-2} +2 a^{-4} + a^{-6} +5 }[/math] |
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