K12n282
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 1- q^{-1} +3 q^{-2} -3 q^{-3} +3 q^{-4} -4 q^{-5} +3 q^{-6} -2 q^{-7} + q^{-8} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^2-5 t+9-5 t^{-1} + t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^4-z^2+1 }[/math] |
| Determinant | 21 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^8-2 z^2 a^6-2 a^6+z^4 a^4+2 z^2 a^4+a^4-z^2 a^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^6 z^{10}+a^4 z^{10}+2 a^7 z^9+4 a^5 z^9+2 a^3 z^9+a^8 z^8-3 a^6 z^8-3 a^4 z^8+a^2 z^8-12 a^7 z^7-24 a^5 z^7-12 a^3 z^7-6 a^8 z^6-7 a^6 z^6-7 a^4 z^6-6 a^2 z^6+22 a^7 z^5+43 a^5 z^5+21 a^3 z^5+11 a^8 z^4+23 a^6 z^4+21 a^4 z^4+9 a^2 z^4-16 a^7 z^3-31 a^5 z^3-17 a^3 z^3-2 a z^3-7 a^8 z^2-15 a^6 z^2-13 a^4 z^2-6 a^2 z^2-z^2+5 a^7 z+10 a^5 z+6 a^3 z+a z+a^8+2 a^6+a^4+1 }[/math] |
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