K12n260
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ - q^{-1} +2 q^{-2} -2 q^{-3} +4 q^{-4} -3 q^{-5} +4 q^{-6} -3 q^{-7} + q^{-8} - q^{-9} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^2-5 t+5-5 t^{-1} +3 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^4+7 z^2+1 }[/math] |
| Determinant | 21 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^8-2 a^8+z^4 a^6+2 z^2 a^6+2 z^4 a^4+7 z^2 a^4+5 a^4-z^2 a^2-2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^8 z^{10}+a^6 z^{10}+a^9 z^9+4 a^7 z^9+3 a^5 z^9-6 a^8 z^8-2 a^6 z^8+4 a^4 z^8-8 a^9 z^7-27 a^7 z^7-17 a^5 z^7+2 a^3 z^7+10 a^8 z^6-14 a^6 z^6-24 a^4 z^6+23 a^9 z^5+60 a^7 z^5+26 a^5 z^5-11 a^3 z^5-3 a^8 z^4+37 a^6 z^4+40 a^4 z^4-28 a^9 z^3-54 a^7 z^3-14 a^5 z^3+12 a^3 z^3-a^8 z^2-21 a^6 z^2-24 a^4 z^2-4 a^2 z^2+12 a^9 z+18 a^7 z+5 a^5 z-3 a^3 z-2 a z-2 a^8+5 a^4+2 a^2 }[/math] |
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