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Index Q
q-Expansions (MODULAR FORMS)
Quitting (OVERVIEW)
qExpansionBasis(M, prec) : ModBrdt, RngIntElt -> SeqEnum
qExpansionBasis(M, prec : parameters) : ModSym, RngIntElt -> SeqEnum
qIntegralBasis(M, prec : parameters: Al) : ModSym, RngIntElt -> SeqEnum
q-Expansions (MODULAR FORMS)
qEigenform(M, prec) : ModSym, RngIntElt -> RngSerPowElt
qExpansion(f) : ModFrmElt -> RngSerPowElt
qExpansion(f, prec) : ModFrmElt, RngIntElt -> RngSerPowElt
ModForm_qExpansion (Example H90E7)
qExpansionBasis(M, prec) : ModBrdt, RngIntElt -> SeqEnum
qExpansionBasis(M, prec : parameters) : ModSym, RngIntElt -> SeqEnum
q-Expansions (BRANDT MODULES)
q-Expansions (MODULAR SYMBOLS)
qIntegralBasis(M, prec : parameters: Al) : ModSym, RngIntElt -> SeqEnum
QMatrix(f) : RngUPolElt -> AlgMatElt
BorderedDoublyCirculantQRCode(p,a,b) : RngIntElt, RngElt, RngElt -> Code
DoublyCirculantQRCode(p) : RngIntElt -> Code
QRCode(K, n) : FldFin, RngIntElt -> Code
TwistedQRCode(l,m) : RngIntElt,RngIntElt -> Code
ContainsQuadrangle(P, S) : Plane, { PlanePt } -> BoolElt
QuadraticForms(D) : RngIntElt -> QuadBin
BinaryQuadraticForms(D) : RngIntElt -> QuadBin
IsQuadratic(K) : FldNum -> BoolElt, FldQuad
IsQuadraticTwist(C1, C2) : CrvHyp, CrvHyp -> BoolElt, RngElt
QuadraticField(m) : RngIntElt -> FldQuad
QuadraticForm(G): GrpMat -> AlgMatElt
QuadraticForm(L) : Lat -> RngMPolElt
QuadraticForm(I) : RngQuadFracIdl -> QuadBinElt
QuadraticForm(S) : { PlanePt } -> RngMPolElt
QuadraticOrder(Q) : QuadBin -> RngQuad
QuadraticTransformation(P) : Prj -> MapSch
QuadraticTransformation(X) : Sch -> SchMap
QuadraticTwist(E) : CrvEll -> CrvEll
QuadraticTwist(E, d) : CrvEll, RngElt -> CrvEll
QuadraticTwist(C) : CrvHyp -> CrvHyp
QuadraticTwist(C, d) : CrvHyp, RngElt -> CrvHyp
QuadraticTwists(E) : CrvEll -> SeqEnum
QuadraticTwists(C) : CrvHyp -> SeqEnum
ScalarsQuadraticForm(G) : GrpMat -> SeqEnum
BINARY QUADRATIC FORMS
QUADRATIC FIELDS
Quadratic Residue Codes and their Generalizations (LINEAR CODES OVER FINITE FIELDS)
Rings, Fields, and Algebras (OVERVIEW)
Twisting Hyperelliptic Curves (HYPERELLIPTIC CURVES)
Type Change Predicates (HYPERELLIPTIC CURVES)
Quadratic Residue Codes and their Generalizations (LINEAR CODES OVER FINITE FIELDS)
Twisting Hyperelliptic Curves (HYPERELLIPTIC CURVES)
Type Change Predicates (HYPERELLIPTIC CURVES)
QuadraticField(m) : RngIntElt -> FldQuad
QuadraticForm(G): GrpMat -> AlgMatElt
QuadraticForm(L) : Lat -> RngMPolElt
QuadraticForm(I) : RngQuadFracIdl -> QuadBinElt
QuadraticForm(S) : { PlanePt } -> RngMPolElt
QuadraticForms(D) : RngIntElt -> QuadBin
BinaryQuadraticForms(D) : RngIntElt -> QuadBin
QuadraticOrder(Q) : QuadBin -> RngQuad
GB_QuadraticOrderElim (Example H50E11)
GB_QuadraticOrderGB (Example H50E6)
CodeFld_QuadraticResidueCode (Example H97E29)
QuadraticTransformation(P) : Prj -> MapSch
QuadraticTransformation(X) : Sch -> SchMap
QuadraticTwist(E) : CrvEll -> CrvEll
QuadraticTwist(E, d) : CrvEll, RngElt -> CrvEll
QuadraticTwist(C) : CrvHyp -> CrvHyp
QuadraticTwist(C, d) : CrvHyp, RngElt -> CrvHyp
QuadraticTwists(E) : CrvEll -> SeqEnum
QuadraticTwists(C) : CrvHyp -> SeqEnum
CrvHyp_QuadraticTwists (Example H86E3)
CrvHyp_QuadraticTwists (Example H86E4)
RombergQuadrature(f, a, b: parameters) : Program, FldPrElt, FldPrElt -> FldPrElt
SimpsonQuadrature(f, a, b, n) : Program, FldPrElt, FldPrElt, RngIntElt -> FldPrElt
TrapezoidalQuadrature(f, a, b, n) : Program, FldPrElt, FldPrElt, RngIntElt -> FldPrElt
Quantifiers (SETS)
IntegralQuarticPoints(Q) : [ RngIntElt ] -> [ SeqEnum ]
IntegralQuarticPoints(Q, P) : [ RngIntElt ], [ RngIntElt ] -> [ SeqEnum ]
SIntegralQuarticPoints(Q, S) : [ RngIntElt ], [ RngIntElt ] -> [ SeqEnum ]
QuasiCyclicCode(n,Gen,h) : RngIntElt, SeqEnum, RngIntElt -> Code
QuasiCyclicCode(n, Gen) : RngIntElt, [ RngUPolElt ] -> Code
QuasiCyclicCode(n,Gen,h) : RngIntElt, SeqEnum, RngIntElt -> Code
QuasiCyclicCode(n, Gen) : RngIntElt, [ RngUPolElt ] -> Code
QuaternionAlgebra(S) : AlgQuatOrd -> AlgQuat
QuaternionAlgebra< K | a, b > : Rng, RngElt, RngElt -> AlgQuat
QuaternionAlgebra< K | a, b > : Rng, RngElt, RngElt -> AlgQuat
QuaternionAlgebra(N) : RngIntElt -> AlgQuat
QuaternionAlgebra(D1, D2, T) : RngIntElt, RngIntElt, RngIntElt -> AlgQuat
QuaternionOrder(A,M) : AlgQuat, RngIntElt -> AlgQuatOrd
QuaternionOrder(R,S) : Rng, [AlgQuatElt] -> AlgQuatOrd
QuaternionOrder(N) : RngIntElt -> AlgQuatOrd
QuaternionOrder(D1, D2, T) : RngIntElt, RngIntElt, RngIntElt -> AlgQuat
QuaternionOrder(S) : [AlgQuatElt] -> AlgQuatOrd
AlgQuat_Quaternion_Constructor (Example H71E1)
AlgQuat_Quaternion_Constructor_over_Rationals (Example H71E2)
AlgQuat_Quaternion_Orders_over_Polynomial_Rings (Example H71E4)
AlgQuat_Quaternion_Orders_over_the_Integers (Example H71E3)
QuaternionAlgebra(S) : AlgQuatOrd -> AlgQuat
QuaternionAlgebra< K | a, b > : Rng, RngElt, RngElt -> AlgQuat
QuaternionAlgebra< K | a, b > : Rng, RngElt, RngElt -> AlgQuat
QuaternionAlgebra(N) : RngIntElt -> AlgQuat
QuaternionAlgebra(D1, D2, T) : RngIntElt, RngIntElt, RngIntElt -> AlgQuat
QuaternionicMatrixGroupDatabase() : -> DB
GrpData_Quaternionic (Example H34E6)
QuaternionicMatrixGroupDatabase() : -> DB
QuaternionOrder(A,M) : AlgQuat, RngIntElt -> AlgQuatOrd
QuaternionOrder(R,S) : Rng, [AlgQuatElt] -> AlgQuatOrd
QuaternionOrder(N) : RngIntElt -> AlgQuatOrd
QuaternionOrder(D1, D2, T) : RngIntElt, RngIntElt, RngIntElt -> AlgQuat
QuaternionOrder(S) : [AlgQuatElt] -> AlgQuatOrd
AlgGen_quaternions (Example H68E1)
Database of Finite Quaternionic Matrix Groups (DATABASES OF GROUPS)
SetQuitOnError(b) : BoolElt ->
Quitting (OVERVIEW)
Starting, Interrupting and Terminating (STATEMENTS AND EXPRESSIONS)
quit;
Constructor (OVERVIEW)
Creation of Submodules and Quotient Modules (MODULES OVER AFFINE ALGEBRAS)
Subcomplexes and Quotient Complexes (CHAIN COMPLEXES)
Sublattices, Superlattices and Quotients (LATTICES)
quo< F | relations > : AlgFP, Rel, .., Rel -> AlgFP
quo< A | L > : AlgGen, List -> AlgGen, Map
quo< A | L > : AlgGrp, List -> AlgAss, Map
quo< GrpPC : F | R : parameters > : GrpFP, List(GrpFPRel) -> GrpPC, Map
quo<G | L> : Grp, List -> Grp
quo<F | R> : GrpAb, List -> GrpAb, Hom(GrpAb)
quo<G | L> : GrpGPC, List -> GrpGPC, Map
quo< G | P > : Grph, { { GrphVert } } -> Grph, GrphVertSet, GrphEdgeSet
quo<G | L> : GrpMat, List -> GrpPerm, Map
quo<G | L> : GrpPC, List -> GrpPC, Map
quo<G | L> : GrpPerm, List -> GrpPerm
quo< L | S > : Lat, List -> GrpAb, Map
quo< C | D > : ModCpx, ModCpx -> ModCpx
quo<M | L> : ModMPol, List -> ModMPol
quo<M | S> : ModOrd, ModOrd -> ModOrd, Map
quo<V | L> : ModTupFld, List -> ModTupFld
quo<M | L> : ModTupRng, List -> ModTupRng
quo<M | L> : ModTupRng, List -> ModTupRng
quo< F | R > : GrpFP, List -> GrpFP, Hom(Grp)
quo< GrpGPC : F | R : parameters > : GrpFP, List(GrpFPRel) -> GrpGPC, Map
quo< FldNum : R | f > : RngUPol, RngUPolElt -> FldNum
quo< R | a_r, ..., a_r > : Rng, RngElt, ..., RngElt -> Rng
quo< Z | I > : RngInt, RngInt -> RngIntRes
quo< Z | m > : RngInt, RngIntElt -> RngIntRes
quo< P | J > : RngMPol, RngMPol -> RngMPolRes
quo< O | I > : RngOrd, RngOrdIdl -> RngOrdRes
quo< R | I > : RngUPol, RngUPol -> RngUPolRes
quo< F | relations > : SgpFP, Rel, ..., Rel -> SgpFP
Construction of Subalgebras, Ideals and Quotient Algebras (ALGEBRAS)
Quotient Algebras (ALGEBRAS)
p-Quotient (FINITELY PRESENTED GROUPS)
p-Quotients (Process Version) (FP GROUPS - ADVANCED FEATURES)
AbelianNormalQuotient(G, H) : GrpPerm -> GrpPerm, Hom(GrpPerm), GrpPerm
AbelianQuotient(G) : GrpFP -> GrpAb, Map
AbelianQuotient(G) : Grp -> GrpAb, Hom
AbelianQuotient(G) : GrpGPC -> GrpAb, Map
AbelianQuotient(G) : GrpMat -> GrpAb, Map
AbelianQuotient(G) : GrpPC -> GrpAb, Map
AbelianQuotient(G) : GrpPerm -> GrpAb, Map
AbelianQuotientInvariants(G) : GrpFP -> [ RngIntElt ]
AbelianQuotientInvariants(G, n) : GrpFP, RngIntElt -> [ RngIntElt ]
AbelianQuotientInvariants(H) : GrpFP -> [ RngIntElt ]
AbelianQuotientInvariants(H, n) : GrpFP, RngIntElt -> [ RngIntElt ]
AbelianQuotientInvariants(G) : GrpGPC -> [ RngIntElt ]
AbelianQuotientInvariants(G) : GrpPC -> SeqEnum
AbsoluteAffineAlgebra(A) : FldAC -> RngUPolRes
AffineAlgebra(A) : FldAC -> RngMPolRes
ColonIdeal(I, J) : RngMPol, RngMPol -> RngMPol
ColonIdeal(I, f) : RngMPol, RngMPolElt -> RngMPol, RngIntElt
DualQuotient(L) : Lat -> GrpAb
ElementaryAbelianQuotient(G, p) : GrpFP, RngIntElt -> GrpAb, Map
ElementaryAbelianQuotient(G, p) : GrpAb, RngIntElt -> GrpAb, Map
ElementaryAbelianQuotient(G, p) : GrpGPC, RngIntElt -> GrpAb, Map
ElementaryAbelianQuotient(G, p) : GrpMat, RngIntElt -> GrpAb, Map
ElementaryAbelianQuotient(G, p) : GrpPC, RngIntElt -> GrpAb, Map
ElementaryAbelianQuotient(G, p) : GrpPerm, RngIntElt -> GrpAb, Map
ExactQuotient(n, d) : RngIntElt, RngIntElt -> RngIntElt
ExactQuotient(f, g) : RngUPolElt, RngUPolElt -> RngUPolElt
FreeAbelianQuotient(G) : GrpAb -> GrpAb, Map
FreeAbelianQuotient(G) : GrpGPC -> GrpAb, Map
FundamentalQuotient(Q) : QuadBin -> Map
GetQuotient (SQP) : SQProc -> GrpPC, Map
[Future release] NilpotentQuotient(G, c) : GrpMat, RngIntElt -> GrpGPC, Map
NilpotentQuotient(G, c) : GrpPerm, RngIntElt -> GrpGPC, Map
NilpotentQuotient(G, c: parameters) : GrpFP, RngIntElt -> GrpGPC, Map
PrimitiveQuotient(G) : GrpPerm -> GrpPerm, Hom, GrpPerm
PrintQuotient (SQP : parameters) : SQProc ->
QuotientMap(Q1, Q2) : QuadBin, QuadBin -> Map
QuotientModule(A, S) : AlgFP, AlgFP -> AlgFP
QuotientModule(A, S) : AlgFP, AlgFP -> AlgFP
QuotientModule(A, S) : AlgFP, AlgFP -> AlgFP
QuotientModule(A, S) : AlgFP, AlgFP -> AlgFP
QuotientModule(A, S) : AlgFP, AlgFP -> AlgFP
QuotientModuleAction(G, S) : GrpMat -> Map, GrpMat
QuotientModuleImage(G, S) : GrpMat -> GrpMat
QuotientRelations(M) : ModMPol -> [ ModMPol ]
RadicalQuotient(G) : GrpPerm -> GrpPerm, Hom(GrpPerm)
SocleQuotient(G) : GrpPerm -> GrpPerm, Hom, GrpPerm
SolubleQuotient(G) : Grp -> GrpPC, Map
SolubleQuotient(F, n : parameters): GrpFP, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt
SolubleQuotientProcess(F : parameters): GrpFP -> SQProc
SolvableQuotient(G): GrpMat -> GrpPC, Map
SolvableQuotient(G): GrpPerm, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt
SolvableQuotient(G : parameters): GrpFP, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt
SolvableQuotient(F, n : parameters): GrpFP, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt
TransitiveQuotient(G) : GrpPerm -> GrpPerm, Hom, GrpPerm
f div g : RngMPolElt, RngMPolElt -> RngMPolElt
AlgFP_Quotient (Example H74E4)
Graph_Quotient (Example H93E10)
GrpMat_Quotient (Example H21E17)
GrpPerm_Quotient (Example H20E16)
Grp_Quotient (Example H19E6)
Abelian and p-Quotients (FINITE SOLUBLE GROUPS)
Abelian, Nilpotent and Soluble Quotient (FINITELY PRESENTED GROUPS)
Abelian, Nilpotent and Soluble Quotients (MATRIX GROUPS)
Abelian, Nilpotent and Soluble Quotients (PERMUTATION GROUPS)
Calculation of Standard Sections (FP GROUPS - ADVANCED FEATURES)
Construction of Quotient Groups (ABELIAN GROUPS)
Construction of Quotient Groups (FINITE SOLUBLE GROUPS)
Construction of Quotient Groups (GROUPS)
Construction of Quotient Groups (MATRIX GROUPS)
Construction of Quotient Groups (PERMUTATION GROUPS)
Construction of Quotient Groups (POLYCYCLIC GROUPS)
Construction of Quotient Modules (FREE MODULES)
Construction of Quotient Vector Spaces (VECTOR SPACES)
Construction of Subalgebras, Ideals and Quotient Algebras (GROUP ALGEBRAS)
Construction of Subalgebras, Ideals and Quotient Rings (MATRIX ALGEBRAS)
Construction of Subgroups and Quotient Groups (ABELIAN GROUPS)
Finite Dimensional Affine Algebras (AFFINE ALGEBRAS)
Ideals and Quotient Rings (INTRODUCTION [BASIC RINGS])
Ideals and Quotient Rings (UNIVARIATE POLYNOMIAL RINGS)
Initialisation (FP GROUPS - ADVANCED FEATURES)
Lifting a Quotient (FP GROUPS - ADVANCED FEATURES)
Low Index Subgroups (MATRIX GROUPS)
Miscellaneous Functions (FP GROUPS - ADVANCED FEATURES)
Nilpotent Quotient (FINITELY PRESENTED GROUPS)
Other Functions on Quotients (UNIVARIATE POLYNOMIAL RINGS)
Quotient Groups (FINITE SOLUBLE GROUPS)
Quotient Groups (MATRIX GROUPS)
Quotient Groups (PERMUTATION GROUPS)
Quotient Modules (FREE MODULES)
Quotient Modules (MODULES OVER A MATRIX ALGEBRA)
Quotient Rings (ORDERS AND ALGEBRAIC FIELDS)
Quotients (FINITELY PRESENTED SEMIGROUPS)
Rings, Fields, and Algebras (OVERVIEW)
Soluble Quotient (FINITELY PRESENTED GROUPS)
Soluble Quotient Process Tools (FP GROUPS - ADVANCED FEATURES)
Soluble Quotient Processes (FP GROUPS - ADVANCED FEATURES)
Subgraphs, Quotient Graphs, and Super-graphs (GRAPHS)
Subgroups, Quotient Groups, Homomorphisms and Extensions (POLYCYCLIC GROUPS)
Subsemigroups, Ideals and Quotients (FINITELY PRESENTED SEMIGROUPS)
Subspaces, Quotient Spaces and Homomorphisms (VECTOR SPACES)
The Quotient Group Constructor (FINITELY PRESENTED GROUPS)
RngOrd_quotient (Example H53E34)
ElementToSequence(a) : RngOrdResElt -> []
Quotient Rings (ORDERS AND ALGEBRAIC FIELDS)
QuotientMap(Q1, Q2) : QuadBin, QuadBin -> Map
The Quotient Module Command (FINITELY PRESENTED ALGEBRAS)
QuotientModule(A, S) : AlgFP, AlgFP -> AlgFP
QuotientModule(A, S) : AlgFP, AlgFP -> AlgFP
QuotientModule(A, S) : AlgFP, AlgFP -> AlgFP
QuotientModule(A, S) : AlgFP, AlgFP -> AlgFP
QuotientModule(A, S) : AlgFP, AlgFP -> AlgFP
ModAlg_QuotientModule (Example H76E14)
QuotientModuleAction(G, S) : GrpMat -> Map, GrpMat
QuotientModuleImage(G, S) : GrpMat -> GrpMat
QuotientRelations(M) : ModMPol -> [ ModMPol ]
QuotientRing(A) : FldAC -> RngMPolRes
AffineAlgebra(A) : FldAC -> RngMPolRes
ComposeQuotients(SQ1, SQ2, SQ3: parameter) : SQProc, SQProc, SQProc -> BoolElt, SQProc
EquivalentQuotients(SQP, SQR : parameters) : SQProc, SQProc -> BoolElt, SQProc
TopQuotients(D) : DB -> SetIndx
Soluble Quotients (FP GROUPS - ADVANCED FEATURES)
ModFld_Quotients1 (Example H63E10)
ModFld_Quotients2 (Example H63E11)
ModFld_Quotients3 (Example H63E12)
Quotrem(D, k) : DivFunElt, RngIntElt -> DivFunElt, DivFunElt
Quotrem(P, k) : PlcFunElt, RngIntElt -> DivFunElt, DivFunElt
Quotrem(m, n) : RngIntElt, RngIntElt -> RngIntElt, RngIntElt
Quotrem(f, g) : RngUPolElt, RngUPolElt -> RngUPolElt, RngUPolElt
Quotrem(v, w) : RngValElt, RngValElt -> RngValElt, RngValElt
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