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Complete lists of global number fields were computed using two techniques, Hunter searches (see Section 9.3 of [MR:1728313, 10.1007/978-1-4419-8489-0] ) and class field theory (see Chapter 5 and Section 9.2 of [MR:1728313, 10.1007/978-1-4419-8489-0] ). In some cases, the Hunter searches are "targeted" in that they focused on specific prime ramification [MR:1986816, 10.1090/S0025-5718-03-01510-2] .