For the first time in history, I present to you the quintic extensions of Q(i) ramified over the set {2,5}. You can be one of the first people to ever lay eyes on these little beauties, all 566 of them. Here is your link:http://hobbes.la.asu.edu/numberfield.../Decics52.html(You want the 2nd table, 8th row. Links to the field data are on the right)
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