K12n97
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^2-3 q+5-6 q^{-1} +7 q^{-2} -6 q^{-3} +6 q^{-4} -4 q^{-5} +2 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+5 t^2-9 t+11-9 t^{-1} +5 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-z^4+2 z^2+1 }[/math] |
| Determinant | 41 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-2 a^6+2 z^4 a^4+6 z^2 a^4+4 a^4-z^6 a^2-4 z^4 a^2-5 z^2 a^2-2 a^2+z^4+2 z^2+1 }[/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-a^4 z^8-2 a^2 z^8+z^8+a^7 z^7-7 a^5 z^7-18 a^3 z^7-10 a z^7-9 a^6 z^6-10 a^4 z^6-6 a^2 z^6-5 z^6-5 a^7 z^5+2 a^5 z^5+23 a^3 z^5+16 a z^5+11 a^6 z^4+17 a^4 z^4+15 a^2 z^4+9 z^4+7 a^7 z^3+5 a^5 z^3-11 a^3 z^3-8 a z^3+z^3 a^{-1} -6 a^6 z^2-12 a^4 z^2-10 a^2 z^2-4 z^2-3 a^7 z-3 a^5 z+a^3 z+a z+2 a^6+4 a^4+2 a^2+1 }[/math] |
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