K12n11
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-2 q^5+4 q^4-7 q^3+9 q^2-10 q+10-8 q^{-1} +6 q^{-2} -3 q^{-3} + q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^2-15 t+25-15 t^{-1} +3 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^4-3 z^2+1 }[/math] |
| Determinant | 61 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^4-3 z^2 a^2-2 a^2+2 z^4+3 z^2+3+z^4 a^{-2} -z^2 a^{-2} - a^{-2} -2 z^2 a^{-4} - a^{-4} + a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+2 a z^9+4 z^9 a^{-1} +2 z^9 a^{-3} +a^2 z^8-z^8 a^{-2} +2 z^8 a^{-4} -2 z^8-9 a z^7-16 z^7 a^{-1} -5 z^7 a^{-3} +2 z^7 a^{-5} -2 a^2 z^6-2 z^6 a^{-2} -4 z^6 a^{-4} +z^6 a^{-6} +z^6+3 a^3 z^5+23 a z^5+30 z^5 a^{-1} +3 z^5 a^{-3} -7 z^5 a^{-5} +a^4 z^4+7 a^2 z^4+5 z^4 a^{-2} -3 z^4 a^{-4} -4 z^4 a^{-6} +10 z^4-5 a^3 z^3-20 a z^3-22 z^3 a^{-1} -z^3 a^{-3} +6 z^3 a^{-5} -2 a^4 z^2-8 a^2 z^2-4 z^2 a^{-2} +5 z^2 a^{-4} +4 z^2 a^{-6} -11 z^2+2 a^3 z+5 a z+5 z a^{-1} -2 z a^{-5} +a^4+2 a^2+ a^{-2} - a^{-4} - a^{-6} +3 }[/math] |
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