Number field structures, Algebraic numbers and ideals, Finite abelian groups, Relative extensions, Class field theory, General use, Class group, units, and the GRH, Hecke Grossencharacters, bnfcertify, bnfdecodemodule, bnfinit, bnfisintnorm, bnfisnorm, bnfisprincipal, bnfissunit, bnfisunit, bnflog, bnflogdegree, bnflogef, bnfnarrow, bnfsignunit, bnfsunit, bnfunits, bnrL1, bnrchar, bnrclassfield, bnrclassno, bnrclassnolist, bnrcompositum, bnrconductor, bnrconductorofchar, bnrdisc, bnrdisclist, bnrgaloisapply, bnrgaloismatrix, bnrinit, bnrisconductor, bnrisgalois, bnrisprincipal, bnrmap, bnrrootnumber, bnrstark, bnrstarkunit, dirzetak, factornf, galoischardet, galoischarpoly, galoischartable, galoisconjclasses, galoisexport, galoisfixedfield, galoisgetgroup, galoisgetname, galoisgetpol, galoisidentify, galoisinit, galoisisabelian, galoisisnormal, galoispermtopol, galoissplittinginit, galoissubcyclo, galoissubfields, galoissubgroups, gcharalgebraic, gcharconductor, gcharduallog, gchareval, gcharidentify, gcharinit, gcharisalgebraic, gcharlocal, gcharlog, gcharnewprec, idealadd, idealaddtoone, idealappr, idealchinese, idealcoprime, idealdiv, idealdown, idealfactor, idealfactorback, idealfrobenius, idealhnf, idealintersect, idealinv, idealismaximal, idealispower, ideallist, ideallistarch, ideallog, idealmin, idealmul, idealnorm, idealnumden, idealpow, idealprimedec, idealprincipalunits, idealramgroups, idealred, idealredmodpower, idealstar, idealtwoelt, idealval, matalgtobasis, matbasistoalg, modreverse, newtonpoly, nfalgtobasis, nfbasis, nfbasistoalg, nfcertify, nfcompositum, nfdetint, nfdisc, nfdiscfactors, nfeltadd, nfeltdiv, nfeltdiveuc, nfeltdivmodpr, nfeltdivrem, nfeltembed, nfeltispower, nfeltissquare, nfeltmod, nfeltmul, nfeltmulmodpr, nfeltnorm, nfeltpow, nfeltpowmodpr, nfeltreduce, nfeltreducemodpr, nfeltsign, nfelttrace, nfeltval, nffactor, nffactorback, nffactormod, nfgaloisapply, nfgaloisconj, nfgrunwaldwang, nfhilbert, nfhnf, nfhnfmod, nfinit, nfisideal, nfisincl, nfisisom, nfislocalpower, nfkermodpr, nflist, nfmodpr, nfmodprinit, nfmodprlift, nfnewprec, nfpolsturm, nfresolvent, nfroots, nfrootsof1, nfsnf, nfsolvemodpr, nfsplitting, nfsubfields, nfsubfieldscm, nfsubfieldsmax, nfweilheight, polcompositum, polgalois, polred, polredabs, polredbest, polredord, poltschirnhaus, rnfalgtobasis, rnfbasis, rnfbasistoalg, rnfcharpoly, rnfconductor, rnfdedekind, rnfdet, rnfdisc, rnfeltabstorel, rnfeltdown, rnfeltnorm, rnfeltreltoabs, rnfelttrace, rnfeltup, rnfequation, rnfhnfbasis, rnfidealabstorel, rnfidealdown, rnfidealfactor, rnfidealhnf, rnfidealmul, rnfidealnormabs, rnfidealnormrel, rnfidealprimedec, rnfidealreltoabs, rnfidealtwoelt, rnfidealup, rnfinit, rnfisabelian, rnfisfree, rnfislocalcyclo, rnfisnorm, rnfisnorminit, rnfkummer, rnflllgram, rnfnormgroup, rnfpolred, rnfpolredabs, rnfpolredbest, rnfpseudobasis, rnfsteinitz, subcyclohminus, subcycloiwasawa, subcyclopclgp, subgrouplist