K12n284
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-3 q^5+6 q^4-8 q^3+9 q^2-10 q+9-6 q^{-1} +4 q^{-2} - q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+5 t^2-13 t+19-13 t^{-1} +5 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-z^4-2 z^2+1 }[/math] |
| Determinant | 57 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -4 z^4 a^{-2} +z^4 a^{-4} +2 z^4-a^2 z^2-7 z^2 a^{-2} +2 z^2 a^{-4} +4 z^2-4 a^{-2} +2 a^{-4} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+a z^9+5 z^9 a^{-1} +4 z^9 a^{-3} +3 z^8 a^{-2} +5 z^8 a^{-4} -2 z^8-5 a z^7-22 z^7 a^{-1} -14 z^7 a^{-3} +3 z^7 a^{-5} -25 z^6 a^{-2} -18 z^6 a^{-4} +z^6 a^{-6} -6 z^6+11 a z^5+33 z^5 a^{-1} +13 z^5 a^{-3} -9 z^5 a^{-5} +3 a^2 z^4+41 z^4 a^{-2} +17 z^4 a^{-4} -3 z^4 a^{-6} +24 z^4-6 a z^3-15 z^3 a^{-1} -5 z^3 a^{-3} +4 z^3 a^{-5} -4 a^2 z^2-23 z^2 a^{-2} -9 z^2 a^{-4} +z^2 a^{-6} -17 z^2+a z+3 z a^{-1} +z a^{-3} -z a^{-5} +4 a^{-2} +2 a^{-4} +3 }[/math] |
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