K12n403
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^2-2 q+2-2 q^{-1} +2 q^{-2} + q^{-4} - q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+3 t^2-t-1- t^{-1} +3 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-3 z^4+2 z^2+1 }[/math] |
| Determinant | 9 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 a^6+z^4 a^4+5 z^2 a^4+4 a^4-z^6 a^2-5 z^4 a^2-6 z^2 a^2-2 a^2+z^4+3 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+a^5 z^9+3 a^3 z^9+2 a z^9-6 a^4 z^8-5 a^2 z^8+z^8-7 a^5 z^7-20 a^3 z^7-13 a z^7+9 a^4 z^6+3 a^2 z^6-6 z^6+14 a^5 z^5+39 a^3 z^5+25 a z^5-a^6 z^4-3 a^4 z^4+8 a^2 z^4+10 z^4-10 a^5 z^3-26 a^3 z^3-16 a z^3-a^6 z^2-3 a^4 z^2-7 a^2 z^2-5 z^2-2 a^7 z+4 a^3 z+2 a z+2 a^6+4 a^4+2 a^2+1 }[/math] |
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