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- syms a M
- solve(a^6+M^2*a^2-M^2==0,a)
- a_1 = ((M^2/2 + (M^6/27 + M^4/4)^(1/2))^(1/3) - M^2/(3*(M^2/2 + (M^6/27 + M^4/4)^(1/2))^(1/3)))^(1/2)
- a_2 = -((M^2/2 + (M^6/27 + M^4/4)^(1/2))^(1/3) - M^2/(3*(M^2/2 + (M^6/27 + M^4/4)^(1/2))^(1/3)))^(1/2)
- a_3 = ((3^(1/2)*((M^2/2 + (M^6/27 + M^4/4)^(1/2))^(1/3) + M^2/(3*(M^2/2 + (M^6/27 + M^4/4)^(1/2))^(1/3)))*i)/2 - (M^2/2 + (M^6/27 + M^4/4)^(1/2))^(1/3)/2 + M^2/(6*(M^2/2 + (M^6/27 + M^4/4)^(1/2))^(1/3)))^(1/2)
- a_4 = (M^2/(6*(M^2/2 + (M^6/27 + M^4/4)^(1/2))^(1/3)) - (M^2/2 + (M^6/27 + M^4/4)^(1/2))^(1/3)/2 - (3^(1/2)*((M^2/2 + (M^6/27 + M^4/4)^(1/2))^(1/3) + M^2/(3*(M^2/2 + (M^6/27 + M^4/4)^(1/2))^(1/3)))*i)/2)^(1/2)
- a_5 = -((3^(1/2)*((M^2/2 + (M^6/27 + M^4/4)^(1/2))^(1/3) + M^2/(3*(M^2/2 + (M^6/27 + M^4/4)^(1/2))^(1/3)))*i)/2 - (M^2/2 + (M^6/27 + M^4/4)^(1/2))^(1/3)/2 + M^2/(6*(M^2/2 + (M^6/27 + M^4/4)^(1/2))^(1/3)))^(1/2)
- a_6 = -(M^2/(6*(M^2/2 + (M^6/27 + M^4/4)^(1/2))^(1/3)) - (M^2/2 + (M^6/27 + M^4/4)^(1/2))^(1/3)/2 - (3^(1/2)*((M^2/2 + (M^6/27 + M^4/4)^(1/2))^(1/3) + M^2/(3*(M^2/2 + (M^6/27 + M^4/4)^(1/2))^(1/3)))*i)/2)^(1/2)
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