K12n54
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^2-2 q+3-4 q^{-1} +5 q^{-2} -4 q^{-3} +4 q^{-4} -3 q^{-5} +2 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+4 t^2-6 t+7-6 t^{-1} +4 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-2 z^4+z^2+1 }[/math] |
| Determinant | 29 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-2 a^6+2 z^4 a^4+7 z^2 a^4+5 a^4-z^6 a^2-5 z^4 a^2-8 z^2 a^2-4 a^2+z^4+3 z^2+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+2 a^5 z^9+4 a^3 z^9+2 a z^9+2 a^6 z^8-2 a^4 z^8-3 a^2 z^8+z^8+a^7 z^7-9 a^5 z^7-22 a^3 z^7-12 a z^7-10 a^6 z^6-10 a^4 z^6-6 a^2 z^6-6 z^6-5 a^7 z^5+8 a^5 z^5+35 a^3 z^5+22 a z^5+13 a^6 z^4+24 a^4 z^4+22 a^2 z^4+11 z^4+6 a^7 z^3-20 a^3 z^3-14 a z^3-7 a^6 z^2-18 a^4 z^2-18 a^2 z^2-7 z^2-2 a^7 z-a^5 z+3 a^3 z+2 a z+2 a^6+5 a^4+4 a^2+2 }[/math] |
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