K12n19
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-2 q^5+3 q^4-3 q^3+2 q^2-q+2 q^{-1} -3 q^{-2} +3 q^{-3} -2 q^{-4} + q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-3 t^2-t+7- t^{-1} -3 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+3 z^4-4 z^2+1 }[/math] |
| Determinant | 1 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-2 a^2 z^4+5 z^4+a^4 z^2-7 a^2 z^2-2 z^2 a^{-2} -2 z^2 a^{-4} +6 z^2+2 a^4-4 a^2- a^{-2} - a^{-4} + a^{-6} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+2 a^3 z^9+4 a z^9+2 z^9 a^{-1} +a^4 z^8-3 a^2 z^8+z^8 a^{-2} +z^8 a^{-4} -4 z^8-12 a^3 z^7-26 a z^7-14 z^7 a^{-1} +2 z^7 a^{-3} +2 z^7 a^{-5} -6 a^4 z^6-9 a^2 z^6-7 z^6 a^{-2} -2 z^6 a^{-4} +z^6 a^{-6} -7 z^6+21 a^3 z^5+46 a z^5+24 z^5 a^{-1} -9 z^5 a^{-3} -8 z^5 a^{-5} +11 a^4 z^4+28 a^2 z^4+9 z^4 a^{-2} -5 z^4 a^{-4} -4 z^4 a^{-6} +27 z^4-14 a^3 z^3-27 a z^3-14 z^3 a^{-1} +6 z^3 a^{-3} +7 z^3 a^{-5} -8 a^4 z^2-20 a^2 z^2-5 z^2 a^{-2} +5 z^2 a^{-4} +4 z^2 a^{-6} -18 z^2+3 a^3 z+5 a z+3 z a^{-1} -z a^{-3} -2 z a^{-5} +2 a^4+4 a^2+ a^{-2} - a^{-4} - a^{-6} +4 }[/math] |
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