Unramified Quadratic Extensions

Selmane, Schehrazad
October 2009
World Academy of Science, Engineering & Technology;Oct2009, Issue 34, p95
Academic Journal
We enumerate all unramified quadratic extensions of quintic fields having 5 (resp. 3, 1) real places and of discriminant smaller than 2 · 107 (resp. 106, 106). For each field in the given lists, the field discriminant, the quintic field discriminant, a polynomial defining the relative quadratic extension, the corresponding polynomial over Q, and the Galois group of the Galois closure are given.


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