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Subindex: field .. Find
Affine Algebras which are Fields (AFFINE ALGEBRAS)
ALGEBRAIC FUNCTION FIELDS
ALGEBRAICALLY CLOSED FIELDS
Arithmetic (ORDERS AND ALGEBRAIC FIELDS)
Canonical Forms for Matrices over a Field (MATRIX ALGEBRAS)
Canonical Forms over Fields (MATRICES)
Changing the Coefficient Field (VECTOR SPACES)
FINITE FIELDS
ORDERS AND ALGEBRAIC FIELDS
Q as a Number Field (RING OF INTEGERS)
RATIONAL FUNCTION FIELDS
Residue Class Fields (INTRODUCTION TO RINGS [BASIC RINGS AND LINEAR ALGEBRA])
Rings and Fields of Fractions of Affine Algebras (AFFINE ALGEBRAS)
Rings, Fields, and Algebras (OVERVIEW)
Arithmetic (ORDERS AND ALGEBRAIC FIELDS)
FieldAutomorphism(G, sigma) : GrpLie, Map -> Map
FieldMorphism(f) : Map -> Map
FieldOfDefinition(H) : HomModAbVar -> ModAbVar
FieldOfDefinition(phi) : MapModAbVar -> ModAbVar
FieldOfDefinition(A) : ModAbVar -> Fld
FieldOfDefinition(x) : ModAbVarElt -> ModTupFldElt
FieldOfDefinition(G) : ModAbVarSubGrp -> Fld
FieldOfFractions(Q) : FldRat -> FldRat
FieldOfFractions(R) : RngDiff -> RngDiff, Map
FieldOfFractions(O) : RngFunOrd -> FldFunOrd
FieldOfFractions(Z) : RngInt -> FldRat
FieldOfFractions(O) : RngOrd -> FldOrd
FieldOfFractions(R) : RngPad -> FldPad
FieldOfFractions(E) : RngSerExt -> RngSerExt
FieldOfFractions(P) : RngUPol -> FldFunRat
FieldOfFractions(V) : RngVal -> Rng
RingOfFractions(Q) : RngMPolRes -> RngFunFrac
AlgAff_FieldOfFractions (Example H95E7)
FieldOfGeometricIrreducibility(C) : Crv -> Rng, Map
CompositeFields(F, L) : FldAlg, FldAlg -> SeqEnum
MergeFields(F, L) : FldAlg, FldAlg -> SeqEnum
Class Field Theory (ALGEBRAIC FUNCTION FIELDS)
Class Field Theory (p-ADIC RINGS AND THEIR EXTENSIONS)
Class Fields (p-ADIC RINGS AND THEIR EXTENSIONS)
Creation (DIFFERENTIAL RINGS, FIELDS AND OPERATORS)
Creation of Algebraic Function Fields (ALGEBRAIC FUNCTION FIELDS)
Creation of Class Fields (ALGEBRAIC FUNCTION FIELDS)
Gröbner Bases over Fields (IDEAL THEORY AND GRÖBNER BASES)
Jacobians over Number Fields or Q (HYPERELLIPTIC CURVES)
Mordell--Weil Group (ELLIPTIC CURVES)
p-adic Fields (p-ADIC RINGS AND THEIR EXTENSIONS)
Rings, Fields, and Algebras (OVERVIEW)
The Record Fields (DATABASES OF GROUPS)
MAGMA_STARTUP_FILE
CreateCharacterFile(P) : NFSProc -> .
CreateCharacterFile(P, cc) : NFSProc, RngIntElt -> .
CreateCycleFile(P) : NFSProc -> .
HasOutputFile() : -> BoolElt
OpenGraphFile(s, f, p): MonStgElt, RngIntElt, RngIntElt -> File
PrintFile(F, x) : MonStgElt, Var ->
PrintFile(F, x, L) : MonStgElt, Var, MonStgElt ->
PrintFileMagma(F, x) : MonStgElt, Var ->
SetLogFile(F) : MonStgElt ->
SetLogFile(F) : MonStgElt ->
SetOutputFile(F) : MonStgElt ->
SetOutputFile(F) : MonStgElt ->
UnsetLogFile() : ->
UnsetOutputFile() : ->
External Files (INPUT AND OUTPUT)
Opening Files (INPUT AND OUTPUT)
Printing to a File (INPUT AND OUTPUT)
Reading a Complete File (INPUT AND OUTPUT)
MergeFiles(S, fn) : [MonStgElt], MonStgElt -> RngIntElt, RngIntElt
RemoveFiles(P) : NFSProc -> .
Data files (RING OF INTEGERS)
LP_FillingLPObject (Example H131E4)
FindCommonEmbeddings(X) : [ModAbVar] -> BoolElt, List
FindDependencies(P) : NFSProc -> .
FindFirstGenerators(g) : FldFunRatUElt -> SeqEnum
FindGenerators(G) : GrpFP -> []
FindN(X) : GRCY -> RngIntElt,RngIntElt
FindN(p1,p2,B) : RngIntElt,RngIntElt,GRBskt -> RngIntElt,RngIntElt
FindRelations(P) : NFSProc -> RngIntElt
FindRelationsInCWIFormat(P) : NFSProc -> RngIntElt
FindWord(G,g) : GrpPSL2, GrpPSL2Elt -> SeqEnum
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