K12n484
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^5-4 q^4+6 q^3-7 q^2+9 q-8+7 q^{-1} -5 q^{-2} +3 q^{-3} - q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-5 t^2+12 t-15+12 t^{-1} -5 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+z^4+z^2+1 }[/math] |
| Determinant | 51 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-a^2 z^4-2 z^4 a^{-2} +4 z^4-2 a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} +6 z^2-a^2- a^{-2} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+3 a z^9+4 z^9 a^{-1} +z^9 a^{-3} +3 a^2 z^8-2 z^8 a^{-2} +z^8+a^3 z^7-11 a z^7-14 z^7 a^{-1} -2 z^7 a^{-3} -13 a^2 z^6-z^6 a^{-2} +2 z^6 a^{-4} -16 z^6-4 a^3 z^5+7 a z^5+11 z^5 a^{-1} +15 a^2 z^4+4 z^4 a^{-2} -2 z^4 a^{-4} +21 z^4+4 a^3 z^3+3 a z^3-z^3 a^{-1} +3 z^3 a^{-3} +3 z^3 a^{-5} -5 a^2 z^2-6 z^2 a^{-2} +z^2 a^{-4} +z^2 a^{-6} -11 z^2-a^3 z-2 a z-2 z a^{-1} -z a^{-3} +a^2+ a^{-2} +3 }[/math] |
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