K12n73
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^4+3 q^3-5 q^2+7 q-8+9 q^{-1} -8 q^{-2} +7 q^{-3} -4 q^{-4} +2 q^{-5} - q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-5 t^2+13 t-17+13 t^{-1} -5 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+z^4+2 z^2+1 }[/math] |
| Determinant | 55 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^6+2 z^2 a^4+2 a^4-2 z^4 a^2-4 z^2 a^2-2 a^2+z^6+4 z^4+6 z^2+3-z^4 a^{-2} -2 z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+2 a^3 z^9+5 a z^9+3 z^9 a^{-1} +a^4 z^8+3 z^8 a^{-2} +2 z^8-8 a^3 z^7-20 a z^7-11 z^7 a^{-1} +z^7 a^{-3} -2 a^4 z^6-11 a^2 z^6-13 z^6 a^{-2} -22 z^6+3 a^5 z^5+15 a^3 z^5+23 a z^5+7 z^5 a^{-1} -4 z^5 a^{-3} +2 a^6 z^4+5 a^4 z^4+19 a^2 z^4+15 z^4 a^{-2} +31 z^4+a^7 z^3-3 a^5 z^3-13 a^3 z^3-11 a z^3+2 z^3 a^{-1} +4 z^3 a^{-3} -2 a^6 z^2-5 a^4 z^2-12 a^2 z^2-6 z^2 a^{-2} -15 z^2-a^7 z+a^5 z+4 a^3 z+2 a z-z a^{-1} -z a^{-3} +a^6+2 a^4+2 a^2+ a^{-2} +3 }[/math] |
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