K12n325
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-5 q^5+10 q^4-14 q^3+18 q^2-19 q+18-14 q^{-1} +9 q^{-2} -4 q^{-3} + q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+11 t^2-26 t+35-26 t^{-1} +11 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-z^4+1 }[/math] |
| Determinant | 113 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+a^2 z^4-z^4 a^{-2} +z^4 a^{-4} -2 z^4+a^2 z^2+2 z^2 a^{-2} -3 z^2+a^2+3 a^{-2} - a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10}+3 a z^9+10 z^9 a^{-1} +7 z^9 a^{-3} +a^2 z^8+9 z^8 a^{-2} +9 z^8 a^{-4} +z^8-6 a z^7-23 z^7 a^{-1} -12 z^7 a^{-3} +5 z^7 a^{-5} +3 a^2 z^6-30 z^6 a^{-2} -22 z^6 a^{-4} +z^6 a^{-6} -4 z^6+4 a^3 z^5+15 a z^5+20 z^5 a^{-1} -z^5 a^{-3} -10 z^5 a^{-5} +a^4 z^4-a^2 z^4+17 z^4 a^{-2} +10 z^4 a^{-4} -z^4 a^{-6} +4 z^4-4 a^3 z^3-10 a z^3-8 z^3 a^{-1} +2 z^3 a^{-5} -a^4 z^2+3 z^2 a^{-2} +z^2 a^{-4} +3 z^2+a^3 z+2 a z+2 z a^{-1} +2 z a^{-3} +z a^{-5} -a^2-3 a^{-2} - a^{-4} -2 }[/math] |
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