K12n824
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-3 q^5+6 q^4-8 q^3+10 q^2-11 q+10-8 q^{-1} +5 q^{-2} -2 q^{-3} + q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+7 t^2-14 t+19-14 t^{-1} +7 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-5 z^4-4 z^2+1 }[/math] |
| Determinant | 65 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+a^2 z^4-3 z^4 a^{-2} +z^4 a^{-4} -4 z^4+3 a^2 z^2-2 z^2 a^{-2} +2 z^2 a^{-4} -7 z^2+3 a^2+ a^{-2} + a^{-4} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+a z^9+4 z^9 a^{-1} +3 z^9 a^{-3} +z^8 a^{-2} +4 z^8 a^{-4} -3 z^8-2 a z^7-13 z^7 a^{-1} -8 z^7 a^{-3} +3 z^7 a^{-5} +4 a^2 z^6-8 z^6 a^{-2} -12 z^6 a^{-4} +z^6 a^{-6} +9 z^6+2 a^3 z^5+3 a z^5+17 z^5 a^{-1} +7 z^5 a^{-3} -9 z^5 a^{-5} +a^4 z^4-9 a^2 z^4+8 z^4 a^{-2} +9 z^4 a^{-4} -3 z^4 a^{-6} -14 z^4-3 a^3 z^3+3 a z^3-6 z^3 a^{-1} -7 z^3 a^{-3} +5 z^3 a^{-5} -2 a^4 z^2+9 a^2 z^2-2 z^2 a^{-2} -5 z^2 a^{-4} +2 z^2 a^{-6} +16 z^2-2 a z+2 z a^{-3} -3 a^2- a^{-2} + a^{-4} -4 }[/math] |
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