Enumeration of a Class of Cyclic Number Fields of Degree 10
Schehrazad Selmane · 2011
For each cyclic quintic eld F of discrim- inant dF smaller than 2 10 7 ; we established lists of quadratic relative extensions of absolute discriminant less than 3 2 15 d 2 in absolute value. For each cyclic eld F , we proved the existence of 6 totally imaginary cyclic number elds and between 2 and 4 totally real cyclic number elds.