K12n523
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{-2} - q^{-3} +2 q^{-4} -2 q^{-5} +3 q^{-6} -2 q^{-7} + q^{-8} - q^{-9} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^2-3 t+3-3 t^{-1} +2 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^4+5 z^2+1 }[/math] |
| Determinant | 13 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^8-2 a^8+z^4 a^6+3 z^2 a^6+2 a^6+z^4 a^4+3 z^2 a^4+a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^8 z^{10}+a^6 z^{10}+a^9 z^9+3 a^7 z^9+2 a^5 z^9-7 a^8 z^8-5 a^6 z^8+2 a^4 z^8-8 a^9 z^7-21 a^7 z^7-12 a^5 z^7+a^3 z^7+16 a^8 z^6+4 a^6 z^6-12 a^4 z^6+22 a^9 z^5+47 a^7 z^5+19 a^5 z^5-6 a^3 z^5-15 a^8 z^4+3 a^6 z^4+18 a^4 z^4-24 a^9 z^3-40 a^7 z^3-9 a^5 z^3+7 a^3 z^3+7 a^8 z^2+a^6 z^2-8 a^4 z^2-2 a^2 z^2+8 a^9 z+11 a^7 z+2 a^5 z-2 a^3 z-a z-2 a^8-2 a^6+a^4 }[/math] |
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