K12n143
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^8+q^7+q^4-2 q^3+3 q^2-3 q+3-2 q^{-1} + q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+3 t^2-2 t+1-2 t^{-1} +3 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-3 z^4+z^2+1 }[/math] |
| Determinant | 13 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -5 z^4 a^{-2} +z^4 a^{-4} +z^4-7 z^2 a^{-2} +4 z^2 a^{-4} +z^2 a^{-6} +3 z^2-3 a^{-2} +2 a^{-4} + a^{-6} - a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +2 z^9 a^{-1} +4 z^9 a^{-3} +2 z^9 a^{-5} -3 z^8 a^{-2} -3 z^8 a^{-4} +z^8 a^{-6} +z^8-12 z^7 a^{-1} -24 z^7 a^{-3} -12 z^7 a^{-5} -8 z^6 a^{-2} -9 z^6 a^{-4} -6 z^6 a^{-6} +z^6 a^{-8} -6 z^6+21 z^5 a^{-1} +39 z^5 a^{-3} +17 z^5 a^{-5} +z^5 a^{-9} +26 z^4 a^{-2} +25 z^4 a^{-4} +5 z^4 a^{-6} -5 z^4 a^{-8} +11 z^4-13 z^3 a^{-1} -20 z^3 a^{-3} -7 z^3 a^{-5} -4 z^3 a^{-7} -4 z^3 a^{-9} -19 z^2 a^{-2} -14 z^2 a^{-4} +z^2 a^{-6} +4 z^2 a^{-8} -8 z^2+2 z a^{-1} +3 z a^{-3} +z a^{-5} +2 z a^{-7} +2 z a^{-9} +3 a^{-2} +2 a^{-4} - a^{-6} - a^{-8} +2 }[/math] |
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