K12n768
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2-2 q^{-1} +3 q^{-2} -4 q^{-3} +4 q^{-4} -4 q^{-5} +3 q^{-6} -2 q^{-7} + q^{-8} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+3 t^2-5 t+7-5 t^{-1} +3 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-3 z^4-2 z^2+1 }[/math] |
| Determinant | 25 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^6+3 z^2 a^6+2 a^6-z^6 a^4-5 z^4 a^4-8 z^2 a^4-4 a^4+z^4 a^2+3 z^2 a^2+2 a^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^6 z^{10}+a^4 z^{10}+2 a^7 z^9+3 a^5 z^9+a^3 z^9+a^8 z^8-4 a^6 z^8-5 a^4 z^8-12 a^7 z^7-16 a^5 z^7-4 a^3 z^7-6 a^8 z^6+a^6 z^6+9 a^4 z^6+2 a^2 z^6+22 a^7 z^5+24 a^5 z^5+2 a^3 z^5+11 a^8 z^4+5 a^6 z^4-15 a^4 z^4-9 a^2 z^4-14 a^7 z^3-13 a^5 z^3+a^3 z^3-6 a^8 z^2+14 a^4 z^2+8 a^2 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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