K12n111
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -2 q^6+5 q^5-9 q^4+13 q^3-14 q^2+15 q-13+10 q^{-1} -6 q^{-2} +3 q^{-3} - q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-9 t^2+21 t-27+21 t^{-1} -9 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+3 z^4+3 z^2+1 }[/math] |
| Determinant | 91 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6-a^2 z^4+2 z^4 a^{-2} -z^4 a^{-4} +3 z^4-2 a^2 z^2+z^2 a^{-2} +4 z^2-a^2+ a^{-4} - a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+3 a z^9+6 z^9 a^{-1} +3 z^9 a^{-3} +3 a^2 z^8+7 z^8 a^{-2} +4 z^8 a^{-4} +6 z^8+a^3 z^7-7 a z^7-10 z^7 a^{-1} +z^7 a^{-3} +3 z^7 a^{-5} -12 a^2 z^6-19 z^6 a^{-2} -2 z^6 a^{-4} +z^6 a^{-6} -28 z^6-4 a^3 z^5-3 a z^5-7 z^5 a^{-1} -8 z^5 a^{-3} +15 a^2 z^4+9 z^4 a^{-2} -z^4 a^{-4} +4 z^4 a^{-6} +29 z^4+5 a^3 z^3+12 a z^3+9 z^3 a^{-1} +z^3 a^{-3} +2 z^3 a^{-5} +3 z^3 a^{-7} -6 a^2 z^2-3 z^2 a^{-2} -2 z^2 a^{-6} -11 z^2-2 a^3 z-4 a z-2 z a^{-1} +z a^{-3} -z a^{-5} -2 z a^{-7} +a^2+ a^{-4} + a^{-6} +2 }[/math] |
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