"Classical" modular forms 71
 extension of  18 45 49 104
 extensions of  137
 ,  25
800 4 45 82 91
Algorithms 43 78 116
Artin's conjecture 3
Centric character 9
Computation of T 53
Computation of X 55
Condition A) 10
Conductor 25 38
Cubic resolvent 49
Cyclic local representations 41
| Decomposition of primes in fields 66
Dihedral extensions of 115
Dihedral local representations 41
Dirichlet character 2
Discriminant bounds 90
Eisenstein series 72
Entire projective representation 133
Euler factor 51
Extension Lemma 15
Fact 83 91 92
Fundamental class 8
Galois lifting 14
Galois lifting, existence of 14 15
Galois representation 7
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