K12n439
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^2+q-1+2 q^{-1} + q^{-3} - q^{-5} + q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-t^2+1- t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+5 z^4+5 z^2+1 }[/math] |
| Determinant | 3 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6-z^2 a^4-2 a^4+z^6 a^2+6 z^4 a^2+11 z^2 a^2+7 a^2-z^4-4 z^2-3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^6 z^8-a^2 z^8+a^7 z^7+a^5 z^7-a^3 z^7-a z^7-6 a^6 z^6+7 a^2 z^6+z^6-6 a^7 z^5-7 a^5 z^5+6 a^3 z^5+8 a z^5+z^5 a^{-1} +9 a^6 z^4-2 a^4 z^4-15 a^2 z^4-4 z^4+10 a^7 z^3+12 a^5 z^3-11 a^3 z^3-17 a z^3-4 z^3 a^{-1} -3 a^6 z^2+5 a^4 z^2+13 a^2 z^2+5 z^2-5 a^7 z-4 a^5 z+6 a^3 z+9 a z+4 z a^{-1} +a^6-2 a^4-7 a^2-3 }[/math] |
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