//q^3 - 3q^2 - q + 1= 0

q1 = 1 - ((1 - isqrt(3)) * (9 + isqrt(111))^(1/3)) / (2 * 3^(2/3)) - 2(1 + isqrt(3)) / (3*(9 + isqrt(111)))^(1/3)

q2 = 1 - ((1 + isqrt(3)) * (9 + isqrt(111))^(1/3)) / (2 * 3^(2/3)) - 2(1 - isqrt(3)) / (3*(9 + isqrt(111)))^(1/3)

q3 = 1 + (9 + isqrt(111))^(1/3) / 3^(2/3) + 4 / ((3*(9 + isqrt(111)))^(1/3))

solve A*q1+B*q2+C*q3=1 and A*q1^2+B*q2^2+C*q3^2=2 and A*q1^3+B*q2^3+C*q3^3=7