K12n835
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -2 q^3+3 q^2-3 q+4-2 q^{-1} +2 q^{-2} - q^{-4} + q^{-5} - q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-4 t+7-4 t^{-1} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+6 z^4+5 z^2+1 }[/math] |
| Determinant | 13 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6-a^4 z^4+6 a^2 z^4+z^4-4 a^4 z^2+9 a^2 z^2-2 z^2 a^{-2} +2 z^2-3 a^4+4 a^2-2 a^{-2} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+a^5 z^9+2 a^3 z^9+a z^9-8 a^4 z^8-8 a^2 z^8-8 a^5 z^7-17 a^3 z^7-8 a z^7+z^7 a^{-1} +20 a^4 z^6+20 a^2 z^6+z^6 a^{-2} +z^6+21 a^5 z^5+45 a^3 z^5+21 a z^5-3 z^5 a^{-1} -19 a^4 z^4-19 a^2 z^4-22 a^5 z^3-44 a^3 z^3-18 a z^3+7 z^3 a^{-1} +3 z^3 a^{-3} +8 a^4 z^2+10 a^2 z^2-3 z^2 a^{-2} -z^2+8 a^5 z+14 a^3 z+5 a z-5 z a^{-1} -4 z a^{-3} -3 a^4-4 a^2+2 a^{-2} +2 }[/math] |
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