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Subindex: Atkin  ..    Augmentation




Atkin

   AtkinLehner(M, q) : ModSym, RngIntElt -> AlgMatElt

   AtkinLehnerOperator(M, p) : ModBrdt, RngIntElt -> AlgMatElt

   AtkinLehnerOperator(M, q) : ModFrm, RngIntElt -> AlgMatElt

   AtkinLehnerOperator(M, q) : ModSS, RngIntElt -> AlgMatElt

   AtkinModularPolynomial(N) : RngIntElt -> RngMPolElt

   CanonicalInvolution(X) : CrvMod -> MapSch

   DualAtkinLehner(M, q) : ModSym, RngIntElt -> AlgMatElt


AtkinLehner

   AtkinLehner(M, q) : ModSym, RngIntElt -> AlgMatElt


AtkinLehnerInvolution

   AtkinLehnerInvolution(X,N) : CrvMod, RngIntElt -> MapSch

   CanonicalInvolution(X) : CrvMod -> MapSch


AtkinLehnerOperator

   AtkinLehnerOperator(M, p) : ModBrdt, RngIntElt -> AlgMatElt

   AtkinLehnerOperator(M, q) : ModFrm, RngIntElt -> AlgMatElt

   AtkinLehnerOperator(M, q) : ModSS, RngIntElt -> AlgMatElt


AtkinModularPolynomial

   AtkinModularPolynomial(N) : RngIntElt -> RngMPolElt


Attach

   Attach(F); : file ->

   AttachSpec(S) : file ->


attach

   Attaching and Detaching Package Files (FUNCTIONS, PROCEDURES AND PACKAGES)


attach-detach

   Attaching and Detaching Package Files (FUNCTIONS, PROCEDURES AND PACKAGES)


AttachSpec

   AttachSpec(S) : file ->


attr

   Attributes of Local Rings and Fields (p-ADIC RINGS AND THEIR EXTENSIONS)


Attribute

   AddAttribute(C, F) : Cat, MonStgElt -> ;

   AssertAttribute(x, {"IsCharacter", b}) : AlgChtrElt, MonStgElt, BoolElt ->

   AssertAttribute(FldFin, {"PowerPrinting", l}) : Cat, MonStgElt, BoolElt ->

   AssertAttribute(ModMPol, {"MatrixPrinting", l}) : Cat, MonStgElt, BoolElt ->

   AssertAttribute(FldPr, {"OutputPrecision", n}) : Cat, MonStgElt, RngIntElt ->

   AssertAttribute(FldPr, {"Precision", n}) : Cat, MonStgElt, RngIntElt ->

   AssertAttribute(GrpMat, {"FirstBasicOrbitBound", n}) : Cat, MonStgElt, RngIntElt ->

   AssertAttribute(RngInt, {"CunninghamStorageLimit", l}) : Cat, MonStgElt, RngIntElt ->

   AssertAttribute(G, "IsVerified", b) : GrpMat, MonStgElt, BoolElt ->

   AssertAttribute(G, "Order", n) : GrpMat, MonStgElt, RngIntElt ->

   AssertAttribute(G, "Base", B) : GrpMat, MonStgElt, Tup ->

   AssertAttribute(G, "Classes", Q) : GrpMat, MonStgElt, [ GrpMatElt ] ->

   [Future release] AssertAttribute(G, "BSGS", S) : GrpPerm, MonStgElt, GrpPermBSGS ->

   AssertAttribute(G, "Order", n) : GrpPerm, MonStgElt, RngIntElt ->

   AssertAttribute(G, "Classes", Q) : GrpPerm, MonStgElt, [ GrpPermElt ] ->

   AssertAttribute(G, "Order", Q) : GrpPerm, MonStgElt, [<RngIntElt, RngIntElt>] ->

   AssertAttribute(M, {"MatrixPrinting", l}) : ModMPol, MonStgElt, BoolElt ->

   AssertAttribute(S, "Precision", n) : RngSer, MonStgElt, RngIntElt ->

   HasAttribute(FldPr, "Precision") : Cat, MonStgElt -> BoolElt, RngIntElt

   HasAttribute(FldPr, {"OutputPrecision"}) : Cat, MonStgElt -> BoolElt, RngIntElt

   HasAttribute(GrpMat, {"FirstBasicOrbitBound"}) : Cat, MonStgElt -> BoolElt, RngIntElt

   HasAttribute(FldFin, {"PowerPrinting", l}) : Cat, MonStgElt, BoolElt ->

   HasAttribute(ModMPol, {"MatrixPrinting", l}) : Cat, MonStgElt, BoolElt ->

   HasAttribute(F, "PowerPrinting") : FldFin, MonStgElt -> BoolElt, BoolElt

   HasAttribute(A, s) : GrpAuto, MonStgElt -> BoolElt, .

   HasAttribute(A, "GenWeights") : GrpAuto, MonStgElt -> BoolElt, [ RngIntElt ]

   HasAttribute(A, {"WeightSubgroupOrders"}) : GrpAuto, MonStgElt -> BoolElt, [ RngIntElt ]

   HasAttribute(G, "IsVerified") : GrpMat, MonStgElt -> BoolElt

   HasAttribute(G, "Base") : GrpMat, MonStgElt -> BoolElt, Tup

   HasAttribute(G, "Order") : GrpMat, MonStgElt -> RngIntElt

   HasAttribute(M, "MatrixPrinting") : ModMPol, MonStgElt -> BoolElt, BoolElt

   HasAttribute(S, "Precision") : RngSer, MonStgElt -> BoolElt, RngIntElt

   SetPowerPrinting(F, l) : FldFin, BoolElt ->


attribute

   Attribute (CHARACTERS OF FINITE GROUPS)

   Attribute Access (BINARY QUADRATIC FORMS)

   Attributes (FUNCTIONS, PROCEDURES AND PACKAGES)

   Attributes (INTRODUCTION TO RINGS [BASIC RINGS])

   Class Polynomials (MODULAR CURVES)

   Defining Values for Attributes (MATRIX GROUPS)

   Defining Values for Attributes (PERMUTATION GROUPS)

   Invariants (MODULAR CURVES)

   Modular Polynomial Databases (MODULAR CURVES)


Attributes

   GetAttributes(C) : Cat -> [ MonStgElt ]

   ListAttributes(C) : Cat ->

   RngInvar_Attributes (Example H75E15)


attributes

   Attributes (CLASS FIELD THEORY)

   Attributes of Invariant Rings (INVARIANT RINGS OF FINITE GROUPS)

   Attributes of Lattices (LATTICES)

   Attributes of Lattices (LATTICES)

   Attributes of Orders and Ideals (QUATERNION ALGEBRAS)

   Attributes of Quaternion Algebras (QUATERNION ALGEBRAS)

   Basic Attributes (PLANE ALGEBRAIC CURVES)

   Basic Attributes (SCHEMES)

   Stored Attributes of an Automorphism Group (AUTOMORPHISM GROUPS)


Augment

   AugmentCode(C) : Code -> Code


Augmentation

   Augmentation(a) : AlgGrpElt -> RngElt

   AugmentationIdeal(A) : AlgGrp -> AlgGrpSub

   AugmentationMap(A) : AlgGrp -> Map




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