Mathematics of Computation · 1994 · 26 citations · 13 references
Natural SciencesMathematicsAlgebraCombinatoricsNumber TheoryAlgebraic GeometryAlgebraic Number TheoryArithmetic GeometryQuadratic FormsAlgebraic Number ComputationAnnotation EncodingArithmetic Of Finite FieldsFinite Field ArithmeticQuadratic FieldsQuadratic Forms Over Number Fields
All algebraic number fields F of degree 5 and absolute discriminant less than 2 x 107 (totally real fields), respectively 5 x 106 (other signatures) are determined. We describe the methods which we applied and list significant data.
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The determination of Galois groups
Richard P. Stauduhar · Mathematics of Computation · 1973 · 116 citations · Full text
The Trace of Totally Positive and Real Algebraic Integers
Carl Ludwig Siegel · Annals of Mathematics · 1945 · 86 citations