K12n271
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^2-4 q+6-8 q^{-1} +9 q^{-2} -8 q^{-3} +7 q^{-4} -5 q^{-5} +3 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+5 t^2-12 t+17-12 t^{-1} +5 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-z^4-z^2+1 }[/math] |
| Determinant | 53 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+5 z^2 a^4+3 a^4-z^6 a^2-4 z^4 a^2-6 z^2 a^2-2 a^2+z^4+z^2+ a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+3 a^5 z^9+5 a^3 z^9+2 a z^9+3 a^6 z^8+2 a^4 z^8+z^8+a^7 z^7-11 a^5 z^7-20 a^3 z^7-8 a z^7-13 a^6 z^6-22 a^4 z^6-12 a^2 z^6-3 z^6-4 a^7 z^5+7 a^5 z^5+22 a^3 z^5+12 a z^5+z^5 a^{-1} +15 a^6 z^4+31 a^4 z^4+21 a^2 z^4+5 z^4+4 a^7 z^3+2 a^5 z^3-9 a^3 z^3-6 a z^3+z^3 a^{-1} -6 a^6 z^2-16 a^4 z^2-13 a^2 z^2+2 z^2 a^{-2} -z^2-a^7 z-a^5 z+a^3 z-z a^{-1} +a^6+3 a^4+2 a^2- a^{-2} }[/math] |
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