K12n279
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+3 q^6-4 q^5+5 q^4-5 q^3+4 q^2-3 q+2- q^{-2} + q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^2-6 t+11-6 t^{-1} + t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^4-2 z^2+1 }[/math] |
| Determinant | 25 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{-2} +z^4 a^{-4} -z^4+a^2 z^2+2 z^2 a^{-2} +z^2 a^{-4} -z^2 a^{-6} -5 z^2+2 a^2+2 a^{-2} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +z^9 a^{-1} +4 z^9 a^{-3} +3 z^9 a^{-5} -4 z^8 a^{-2} -z^8 a^{-4} +3 z^8 a^{-6} +a z^7-6 z^7 a^{-1} -22 z^7 a^{-3} -14 z^7 a^{-5} +z^7 a^{-7} +a^2 z^6-z^6 a^{-2} -14 z^6 a^{-4} -14 z^6 a^{-6} -6 a z^5+7 z^5 a^{-1} +33 z^5 a^{-3} +16 z^5 a^{-5} -4 z^5 a^{-7} -5 a^2 z^4+7 z^4 a^{-2} +24 z^4 a^{-4} +16 z^4 a^{-6} -6 z^4+6 a z^3-2 z^3 a^{-1} -18 z^3 a^{-3} -7 z^3 a^{-5} +3 z^3 a^{-7} +5 a^2 z^2-10 z^2 a^{-4} -5 z^2 a^{-6} +10 z^2-a z+z a^{-1} +3 z a^{-3} +z a^{-5} -2 a^2-2 a^{-2} -3 }[/math] |
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