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Subindex: field .. Finite
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])
Rings, Fields, and Algebras (OVERVIEW)
Arithmetic (ORDERS AND ALGEBRAIC FIELDS)
FieldAutomorphism( G, sigma ) : GrpLie, Map -> Map
FieldOfFractions(Q) : FldRat -> FldRat
FieldOfFractions(O) : RngFunOrd -> FldFun
FieldOfFractions(Z) : RngInt -> FldRat
FieldOfFractions(O) : RngOrd -> FldOrd
FieldOfFractions(R) : RngPad -> FldPad
FieldOfFractions(P) : RngPol -> FldFunRat
FieldOfFractions(V) : RngVal -> Rng
FieldOfGeometricIrreducibility(C) : Crv -> Rng, Map
CompositeFields(F, L) : FldAlg, FldAlg -> SeqEnum
MergeFields(F, L) : FldAlg, FldAlg -> SeqEnum
Class Field Theory (ALGEBRAIC FUNCTION FIELDS)
Creation of Algebraic Function Fields (ALGEBRAIC FUNCTION FIELDS)
Creation of Class Fields (ALGEBRAIC FUNCTION FIELDS)
Gröbner Bases over Fields (IDEAL THEORY AND GRÖBNER BASES)
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 ->
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 H110E4)
FindDependencies(P) : NFSProc -> .
FindFirstGenerators(g) : FldFunRatUElt -> SeqEnum
FindGenerators(G) : GrpFP -> []
FindRelations(P) : NFSProc -> RngIntElt
FindRelationsInCWIFormat(P) : NFSProc -> RngIntElt
FindWord(G,g) : GrpPSL2, GrpPSL2Elt -> SeqEnum
Finding Legal Keys (DATABASES OF GROUPS)
FindDependencies(P) : NFSProc -> .
FindFirstGenerators(g) : FldFunRatUElt -> SeqEnum
FindGenerators(G) : GrpFP -> []
Finding Irreducibles (CHARACTERS OF FINITE GROUPS)
Finding Points (RATIONAL CURVES AND CONICS)
Finding Irreducibles (CHARACTERS OF FINITE GROUPS)
GB_FindingPrimes (Example H47E5)
FindRelations(P) : NFSProc -> RngIntElt
FindRelationsInCWIFormat(P) : NFSProc -> RngIntElt
FindWord(G,g) : GrpPSL2, GrpPSL2Elt -> SeqEnum
Control-C key (OVERVIEW)
Quitting (OVERVIEW)
EquationOrderFinite(F) : FldFun -> RngFunOrd
FiniteAffinePlane(D) : Inc -> Plane, PlanePtSet, PlaneLnSet
FiniteAffinePlane(W) : ModFld -> PlaneAff
FiniteAffinePlane< v | X : parameters > : RngIntElt, List -> PlaneAff
FiniteAffinePlane(P, l) : PlaneProj, PlaneLn -> PlaneAff, PlanePtSet, PlaneLnSet, Map
FiniteField(q) : RngIntElt -> FldFin
FiniteField(p, n) : RngIntElt, RngIntElt -> FldFin
FiniteProjectivePlane(D) : Inc -> Plane, PlanePtSet, PlaneLnSet
FiniteProjectivePlane(W) : ModTupFld -> PlaneProj
FiniteProjectivePlane< v | X : parameters > : RngIntElt, List -> PlaneProj
HasFiniteOrder(g) : GrpMatElt -> BoolElt, RngIntElt
HasFiniteOrder(A) : Mtrx -> BoolElt
IsCoxeterFinite( M ) : AlgMatElt -> BoolElt
IsFinite(G) : GrpAb -> BoolElt
IsFinite(G) : GrpAtc -> BoolElt, RngIntElt
IsFinite( W ) : GrpFPCox -> BoolElt
IsFinite(G) : GrpGPC -> BoolElt
IsFinite(G) : GrpMat -> Bool, RngIntElt
IsFinite(G) : GrpRWS -> BoolElt, RngIntElt
IsFinite(x) : Infty -> BoolElt
IsFinite(M) : MonRWS -> BoolElt, RngIntElt
IsFinite(P) : PlcFunElt -> BoolElt
IsFinite(R) : Rng -> BoolElt
IsFinite( R ) : RootSys -> BoolElt
IsFiniteOrder(O) : RngFunOrd -> BoolElt
MaximalOrderFinite(F) : FldFun -> RngFunOrd
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