[____] [____] [_____] [____] [__] [Index] [Root]
Index E
E
d . eefpg : RngIntElt, RngIntElt, RngIntElt -> FldReElt
e
Quitting (OVERVIEW)
d . eefpg : RngIntElt, RngIntElt, RngIntElt -> FldReElt
E-key
E
e-key
e
EARNS
EARNS(G) : GrpPerm -> GrpPerm
EAS
GrpPC_EAS (Example H19E5)
EasyIdeal
EasyIdeal(I) : RngMPol -> RngMPol
ec_ff_structure_ops
Structure operations for Elliptic Curves over Finite Fields (ELLIPTIC CURVES)
EchelonForm
EchelonForm(a) : AlgMatElt -> AlgMatElt, AlgMatElt
EchelonForm(a) : ModMatElt -> ModMatElt, ModMatElt
EchelonForm(X) : ModMatRngElt -> ModMatRngElt, ModMatRngElt
AlgMat_EchelonForm (Example H51E6)
EcheloniseWord
EcheloniseWord(~P, ~r) : Process(pQuot) -> RngIntElt
ECM
ECM(n) : RngIntElt -> RngIntEltFact, [ RngIntElt ]
edge
The Vertex-Set and Edge-Set of a Graph (GRAPHS)
EdgeGroup
EdgeGroup(G) : Grph -> GrpPerm, GSet
EdgeLabel
EdgeLabel(G, i, j) : Grph, RngIntElt, RngIntElt -> .
EdgeLabels
EdgeLabels(G, S) : Grph, SeqEnum -> SeqEnum
Edges
Edges(G) : Grph -> {@ GrphEdge @}
EdgeSet
EdgeSet(G) : Grph -> GrphEdgeSet
EdgeSets
Graph_EdgeSets (Example H55E6)
EdgeUnion
EdgeUnion(G, H) : GrphDir, GrphDir -> GrphDir
editor
The Magma Line Editor (ENVIRONMENT AND OPTIONS)
EgyptianFractions
Seq_EgyptianFractions (Example H8E4)
Eigenspace
Eigenspace(a, e) : AlgMatElt, FldElt -> ModTup
Eigenspace(g, a) : GrpMatElt, FldElt -> Mod
Eigenvalues
Eigenvalues(a) : AlgMatElt -> { <FldElt, RngIntElt> }
Eigenvalues(g) : GrpMatElt -> { <RngElt, RngIntElt> }
EisensteinSeries
EisensteinSeries(n, q) : RngIntElt, FldPowElt -> FldPowElt
el
Elementary Operations (FINITE PLANES)
el-creation
AlgGrp_el-creation (Example H50E2)
el-ops
Elementary Operations (FINITE PLANES)
Element
PMod_Element (Example H44E2)
element
Accessing and Modifying a Matrix (MATRIX ALGEBRAS)
Accessing and Modifying a Matrix (THE MODULES Hom_(R)(M, N) AND End(M))
Arithmetic (FUNCTION FIELDS AND THEIR ORDERS)
Arithmetic (NUMBER FIELDS AND THEIR ORDERS)
Boolean Operators (STATEMENTS AND EXPRESSIONS)
Construction of a Group Algebra Element (GROUP ALGEBRAS)
Construction of a Matrix (MATRIX ALGEBRAS)
Construction of a Matrix (MATRIX GROUPS)
Construction of a Matrix (THE MODULES Hom_(R)(M, N) AND End(M))
Construction of a Permutation (PERMUTATION GROUPS)
Construction of a Vector (VECTOR SPACES)
Construction of an Element (ABELIAN GROUPS)
Construction of an Element (BLACKBOX GROUPS)
Construction of an Element (GROUPS)
Construction of Direct Sums and Tensor Products of Elements (MATRIX ALGEBRAS)
Coset Spaces: Selection of Cosets (FINITELY PRESENTED GROUPS)
Creation of Coproduct Elements (COPRODUCTS)
Creation of Elements (CYCLOTOMIC FIELDS)
Creation of Elements (FUNCTION FIELDS AND THEIR ORDERS)
Creation of Elements (INTRODUCTION [RINGS AND FIELDS])
Creation of Elements (LOCAL FIELDS)
Creation of Elements (NUMBER FIELDS AND THEIR ORDERS)
Creation of Elements (POWER SERIES AND LAURENT SERIES)
Creation of Elements (QUADRATIC FIELDS)
Creation of Elements (RATIONAL FIELD)
Creation of Elements (RATIONAL FUNCTION FIELDS)
Creation of Elements (REAL AND COMPLEX FIELDS)
Creation of Elements (RESIDUE CLASS RINGS)
Creation of Elements (RING OF INTEGERS)
Creation of Elements (UNIVARIATE POLYNOMIAL RINGS)
Creation of Elements (VALUATION RINGS)
Creation of Module Elements (MODULES OVER AFFINE ALGEBRAS)
Creation of Polynomials (MULTIVARIATE POLYNOMIAL RINGS)
Definition of Soluble Groups using Power-conjugate Presentations (SOLUBLE GROUPS)
Element Constructors (FINITELY PRESENTED SEMIGROUPS)
Element Constructors and Selectors (LOCAL FIELDS)
Element Creation (CHARACTERS OF FINITE GROUPS)
Element Operations (CHARACTERS OF FINITE GROUPS)
Element Operations (CYCLOTOMIC FIELDS)
Element Operations (FINITE FIELDS)
Element Operations (FUNCTION FIELDS AND THEIR ORDERS)
Element Operations (MULTIVARIATE POLYNOMIAL RINGS)
Element Operations (NUMBER FIELDS AND THEIR ORDERS)
Element Operations (POWER SERIES AND LAURENT SERIES)
Element Operations (QUADRATIC FIELDS)
Element Operations (RATIONAL FIELD)
Element Operations (RATIONAL FUNCTION FIELDS)
Element Operations (REAL AND COMPLEX FIELDS)
Element Operations (RING OF INTEGERS)
Element Operations (SOLUBLE GROUPS)
Element Operations (THE MODULES Hom_(R)(M, N) AND End(M))
Element Operations (UNIVARIATE POLYNOMIAL RINGS)
Element Operations (VALUATION RINGS)
Elementary Functions for Words (FINITELY PRESENTED GROUPS)
Elementary Operations on Elements (MATRIX ALGEBRAS)
Elementary Operators for Words (FINITELY PRESENTED GROUPS)
Elements Construction and Operations (GENERAL MODULES)
Elements of M_n as Homomorphisms (MATRIX ALGEBRAS)
Elements Operations (RESIDUE CLASS RINGS)
Generic Element Functions (INTRODUCTION [RINGS AND FIELDS])
Lattice Elements (LATTICES)
Matrix Operations (MATRIX GROUPS)
Module Element Access and Operations (MODULES OVER AFFINE ALGEBRAS)
Operations on Codewords (ERROR-CORRECTING CODES)
Operations on Elements (ABELIAN GROUPS)
Operations on Elements (BLACKBOX GROUPS)
Operations on Elements of Ideals (MULTIVARIATE POLYNOMIAL RINGS)
Operations on Lattice Elements (GENERAL MODULES)
Operations on p-adic Elements (LOCAL FIELDS)
Operations on Poset Elements (GROUPS)
Operations on the Set of Elements (GROUPS)
Operations on the Set of Elements (MATRIX GROUPS)
Operations on the Set of Elements (PERMUTATION GROUPS)
Predicates on Ring Elements (CYCLOTOMIC FIELDS)
Predicates on Ring Elements (FINITE FIELDS)
Predicates on Ring Elements (INTRODUCTION [RINGS AND FIELDS])
Predicates on Ring Elements (MULTIVARIATE POLYNOMIAL RINGS)
Predicates on Ring Elements (POWER SERIES AND LAURENT SERIES)
Predicates on Ring Elements (RATIONAL FIELD)
Predicates on Ring Elements (RATIONAL FUNCTION FIELDS)
Predicates on Ring Elements (RESIDUE CLASS RINGS)
Predicates on Ring Elements (RING OF INTEGERS)
Predicates on Ring Elements (UNIVARIATE POLYNOMIAL RINGS)
Selecting Elements of Sets (SETS)
Selection Operators on Enumerated Sequences (SEQUENCES)
Specialised Operations on Words (FINITELY PRESENTED GROUPS)
Specification of a Word (FINITELY PRESENTED ALGEBRAS)
String Operations on Words (FINITELY PRESENTED SEMIGROUPS)
element-access
Module Element Access and Operations (MODULES OVER AFFINE ALGEBRAS)
element-access-modification
Accessing and Modifying a Matrix (THE MODULES Hom_(R)(M, N) AND End(M))
element-Boolean
Predicates on Ring Elements (CYCLOTOMIC FIELDS)
Predicates on Ring Elements (FINITE FIELDS)
Predicates on Ring Elements (INTRODUCTION [RINGS AND FIELDS])
Predicates on Ring Elements (MULTIVARIATE POLYNOMIAL RINGS)
Predicates on Ring Elements (POWER SERIES AND LAURENT SERIES)
Predicates on Ring Elements (RATIONAL FIELD)
Predicates on Ring Elements (RATIONAL FUNCTION FIELDS)
Predicates on Ring Elements (RESIDUE CLASS RINGS)
Predicates on Ring Elements (RING OF INTEGERS)
Predicates on Ring Elements (UNIVARIATE POLYNOMIAL RINGS)
ElementaryAbelianSeries
ElementaryAbelianSeries(G) : GrpAb -> [GrpAb]
ElementaryAbelianSeries(G) : GrpPC -> [GrpPC]
ElementaryAbelianSeries(G) : GrpPerm -> [ GrpPerm ]
ElementaryAbelianSubgroups
ElementaryAbelianSubgroups(G: parameters) : GrpFin -> [ rec< Grp, RngIntElt, RngIntElt, GrpFP> ]
ElementaryDivisors
ElementaryDivisors(a) : AlgMatElt -> [RngElt]
ElementaryDivisors(X) : ModMatRngElt -> [RngElt]
AlgMat_ElementaryDivisors (Example H51E7)
ElementarySymmetricPolynomial
ElementarySymmetricPolynomial(P, k) : RngMPol, RngIntElt -> RngMPolElt
ElementOperations
RngMPol_ElementOperations (Example H29E15)
Elements
FldFunG_Elements (Example H32E3)
FldNum_Elements (Example H36E7)
RMod_Elements (Example H42E14)
elements
Construction of an Element of a General Algebra (ALGEBRAS)
Construction of Elements of a Structure Constant Algebra (STRUCTURE CONSTANT ALGEBRAS)
ElementSet
ElementSet(G, H) : GrpPerm, GrpPerm -> { GrpPermElt }
ElementToSequence
Coefficients(a) : FldLocElt -> [ RngResElt ]
Coefficients(f) : RngPowSerElt -> [ RngElt ]
Coefficients(p) : RngUPolElt -> [ RngElt ]
ElementToSequence(a) : AlgGenElt -> SeqEnum
ElementToSequence(a) : AlgGrpElt -> SeqEnum
ElementToSequence(a) : AlgMatElt -> [ RngElt ]
ElementToSequence(P): CurveEllPt -> [ RngElt ]
ElementToSequence(a) : FldFinElt -> [ FldFinElt ]
ElementToSequence(a) : FldNumElt -> [ FldRatElt ]
ElementToSequence(x) : GrpAbElt -> [RngIntElt]
ElementToSequence(u) : GrpFPElt -> [ RngIntElt ]
ElementToSequence(g) : GrpMatElt -> [ RngElt ]
ElementToSequence(x) : GrpPCElt -> [RngIntElt]
ElementToSequence(x) : GrpPCElt -> [RngIntElt]
ElementToSequence(g) : GrpPermElt -> [ Elt ]
ElementToSequence(v) : LatElt -> [ RngElt ]
ElementToSequence(a) : ModMatRngElt -> [ RngElt ]
ElementToSequence(u) : ModTupFldElt -> [RngElt]
ElementToSequence(u) : ModTupRngElt -> [RngElt]
ElementToSequence(p) : PlanePt -> [ FldFinElt ]
ElementToSequence(a) : RngFunOrdElt -> [ RngElt ]
ElementToSequence(u) : SgpFPElt -> [ SgpFPElt ]
Eltseq(a) : FldCycElt -> [ FldRatElt ]
Eltseq(a) : FldQuadElt -> [ FldRatElt ]
Eltseq(f) : RngIntEltFact -> SeqEnum
aInvariants(E) : CurveEll -> [ RngElt ]
EliasAsymptoticBound
EliasAsymptoticBound(K, delta) : FldFin, FldPrElt -> FldPrElt
EliasBound
EliasBound(K, n, d) : FldFin, RngIntElt, RngIntElt -> RngIntElt
elif
The if statement (OVERVIEW)
elim
Elimination (k): elim (MULTIVARIATE POLYNOMIAL RINGS)
Elimination List: elim (MULTIVARIATE POLYNOMIAL RINGS)
elim-k
Elimination (k): elim (MULTIVARIATE POLYNOMIAL RINGS)
elim-list
Elimination List: elim (MULTIVARIATE POLYNOMIAL RINGS)
Eliminate
Eliminate(u, x, v) : GrpFPElt, GrpFPElt, GrpFPElt -> GrpFPElt
Eliminate(u, x, v) : SgpFPElt, SgpFPElt, SgpFPElt -> SgpFPElt
EliminateGenerators
EliminateGenerators(~P: parameters) : Process(Tietze) ->
EliminateRedundancy
EliminateRedundancy(~P) : Process(pQuot) ->
elimination
Construction of Elimination Ideals (MULTIVARIATE POLYNOMIAL RINGS)
Elimination (MULTIVARIATE POLYNOMIAL RINGS)
Univariate Elimination Ideal Generators (MULTIVARIATE POLYNOMIAL RINGS)
elimination-ideal
Construction of Elimination Ideals (MULTIVARIATE POLYNOMIAL RINGS)
EliminationIdeal
EliminationIdeal(I, k) : RngMPol, RngIntElt -> RngMPol
RngMPol_EliminationIdeal (Example H29E17)
elliptic
Combinatorial and Geometrical Structures (OVERVIEW)
Elliptic and Modular functions (POWER SERIES AND LAURENT SERIES)
Elliptic and Modular Functions (REAL AND COMPLEX FIELDS)
ELLIPTIC CURVES
elliptic-curve
ELLIPTIC CURVES
elliptic-modular
Elliptic and Modular functions (POWER SERIES AND LAURENT SERIES)
Elliptic and Modular Functions (REAL AND COMPLEX FIELDS)
EllipticCurve
EllipticCurve(R, j) : Rng, RngElt -> CurveEll
EllipticCurve([a, b]) : [ RngElt ] -> CurveEll
else
The case statement (OVERVIEW)
The if statement (OVERVIEW)
The select expression (OVERVIEW)
elt
Constructor (OVERVIEW)
Operations on Elements (GROUP ALGEBRAS)
Other Point and Line Functions (FINITE PLANES)
C ! [a_1, ..., a_n] : Code, [ FldFinElt ] -> ModTupFldElt
E ! [x, y, z] : CurveEll, [RngElt] -> CurveEllPt
K ! [a_0, ..., a_m - 1] : FldCyc, [FldCycElt] -> FldCycElt
K ! a : FldFun, RngElt -> FldFunElt
F ! [a, b] : FldFun, RngPolElt, RngPolElt -> FldFunElt
K ! a : FldNum, RngIntElt -> FldNumElt
F ! [a_0, a_1] : FldQuad, [FldRatElt] -> FldQuadElt
Q ! [a, b] : FldRat, RngIntElt, RngIntElt -> FldRatElt
L ! Q : Lat, [ RngElt ] -> LatElt
P ! s : RngUPol, RngElt -> RngPolElt
elt< A | r_1, r_2, ..., r_n > : AlgGen, RngElt, RngElt, ..., RngElt -> AlgGenElt
elt< A | r, g > : AlgGrp, RngElt, GrpElt -> AlgGrpElt
elt< R | L > : AlgMat, RngElt -> AlgMatElt
elt<F | a> : FldFin, RngElt -> FldFinElt
elt<R | a> : FldLoc, RngElt -> FldLocElt
elt<R | m, n> : FldRe, FldReElt, RngIntElt -> FldReElt
elt< G | L > : Grp, List(Elt) -> GrpElt
elt< G | L > : GrpMat, List(RngElt) -> GrpMatElt
elt< G | L > : GrpPerm, List(Elt) -> GrpPermElt
elt< B | a, b, c> : MagForm, RngIntElt, RngIntElt, RngIntElt -> MagFormElt
elt<V | L> : ModTupFld, List -> ModTupFldElt
elt< M | a_1, ..., a_n > : ModTupRng, List -> ModTupRngElt
elt< R | a_1, ..., a_k :parameters> : AlgChtr, FldCycElt, ..., FldCycElt -> AlgChtrElt
elt< Z | a_1a_2...a_r > : RngInt, RngIntElt -> RngIntElt
elt< R | v, [ a_1, ..., a_d], p > : RngIntElt, SeqEnum, RngIntElt -> RngPowSerElt
elt< R | k > : RngIntRes, RngIntElt -> RngIntResElt
elt< R | a > : RngMPol, RngElt -> RngMPolElt
elt< P | a_0, ..., a_d > : RngUPol, RngElt, ..., RngElt -> RngUPolElt
elt< C | a_1, a_2, ..., a_k > : SetCart, Elt, ..., Elt -> Tup
elt-ops
Operations on Elements (GROUP ALGEBRAS)
elt-other
Other Point and Line Functions (FINITE PLANES)
Plane_elt-other (Example H57E9)
Eltseq
Coefficients(a) : FldLocElt -> [ RngResElt ]
Coefficients(f) : RngPowSerElt -> [ RngElt ]
Coefficients(p) : RngUPolElt -> [ RngElt ]
ElementToSequence(a) : AlgGenElt -> SeqEnum
ElementToSequence(a) : AlgGrpElt -> SeqEnum
ElementToSequence(a) : AlgMatElt -> [ RngElt ]
ElementToSequence(a) : FldFinElt -> [ FldFinElt ]
ElementToSequence(a) : FldNumElt -> [ FldRatElt ]
ElementToSequence(x) : GrpAbElt -> [RngIntElt]
ElementToSequence(u) : GrpFPElt -> [ RngIntElt ]
ElementToSequence(g) : GrpMatElt -> [ RngElt ]
ElementToSequence(x) : GrpPCElt -> [RngIntElt]
ElementToSequence(x) : GrpPCElt -> [RngIntElt]
ElementToSequence(g) : GrpPermElt -> [ Elt ]
ElementToSequence(v) : LatElt -> [ RngElt ]
ElementToSequence(a) : ModMatRngElt -> [ RngElt ]
ElementToSequence(u) : ModTupFldElt -> [RngElt]
ElementToSequence(u) : ModTupRngElt -> [RngElt]
ElementToSequence(p) : PlanePt -> [ FldFinElt ]
ElementToSequence(a) : RngFunOrdElt -> [ RngElt ]
ElementToSequence(u) : SgpFPElt -> [ SgpFPElt ]
Eltseq(a) : FldCycElt -> [ FldRatElt ]
Eltseq(a) : FldQuadElt -> [ FldRatElt ]
Eltseq(f) : ModMPolElt -> [ RngMPolElt ]
Eltseq(f) : RngIntEltFact -> SeqEnum
Eltseq(R) : SeqEnum -> SeqEnum
aInvariants(E) : CurveEll -> [ RngElt ]
Emacs
Key Bindings (Emacs and VI mode) (ENVIRONMENT AND OPTIONS)
Key Bindings in Emacs mode only (ENVIRONMENT AND OPTIONS)
email
Magma Updates (OVERVIEW)
Embed
Embed(E, F) : FldFin, FldFin ->
embedding
Creating Relations (FINITE FIELDS)
Plane_embedding (Example H57E7)
empty
Sequences (OVERVIEW)
Sets (OVERVIEW)
EmptyDigraph
EmptyDigraph(p) : RngIntElt -> GrphDir
EmptyGraph
EmptyGraph(p) : RngIntElt -> GrphUnd
end
Control-C key (OVERVIEW)
Quitting (OVERVIEW)
endo
Endomorphisms (LATTICES)
endo-hom
Endomorphisms (LATTICES)
endomorphism_ring
The endomorphism ring (ELLIPTIC CURVES)
EndomorphismAlgebra
EndomorphismAlgebra(M) : ModRng -> AlgMat
EndomorphismAlgebra(M) : ModTupRng -> AlgMat
EndomorphismRing
EndomorphismRing(G) : GrpMat -> AlgMat
Endomorphisms
Endomorphisms(G, n) : GrpMat, RngIntElt -> [ AlgMatElt ]
EndoRing
RMod_EndoRing (Example H42E20)
EndVertices
EndVertices(e) : GrphEdge -> [GrphVert]
EndVertices(e) : GrphEdge -> { GrphVert }
enum
ENUMERATIVE COMBINATORICS
enum-comb
ENUMERATIVE COMBINATORICS
enumerated
Enumerated Sequences (SEQUENCES)
Enumerated Sets (SETS)
Sequences (OVERVIEW)
Sets (OVERVIEW)
The Enumerated Sequence Constructor (SEQUENCES)
The Enumerated Set Constructor (SETS)
enumeration
Minimum and Enumeration of Lattice Elements (LATTICES)
Vector Enumeration (FINITELY PRESENTED ALGEBRAS)
Vector Enumeration (FINITELY PRESENTED ALGEBRAS)
enumerator
The Weight Enumerator (ERROR-CORRECTING CODES)
environment
ENVIRONMENT AND OPTIONS
Environment Variables (ENVIRONMENT AND OPTIONS)
environment-options
ENVIRONMENT AND OPTIONS
environment-variable
Environment Variables (ENVIRONMENT AND OPTIONS)
eq
Comparison (OVERVIEW)
u eq v : AlgFPElt, AlgFPElt -> BoolElt
A eq B : AlgGen, AlgGen -> BoolElt
a eq b : AlgGenElt, AlgGenElt -> BoolElt
R eq T : AlgMat, AlgMat -> BoolElt
a eq b : AlgMatElt, AlgMatElt -> BoolElt
C eq D : Code, Code -> BoolElt
E eq F : CurveEll, CurveEll -> BoolElt
P eq Q : CurveEllPt, CurveEllPt -> BoolElt
C_1 eq C_2 : Elt, Elt -> BoolElt
x eq y : Elt, Elt -> BoolElt
x eq y : Elt, Elt -> BoolElt
[Future release] C_1 eq C_2 : Elt, Elt -> BoolElt
G eq H : GrpAb, GrpAb -> BoolElt
u eq v : GrpAbElt, GrpAbElt -> BoolElt
u eq v : GrpBBElt, GrpBBElt -> BoolElt
g eq h : GrpElt, GrpElt -> BoolElt
H eq G : GrpFin, GrpFin -> BoolElt
H eq K : GrpFP, GrpFP -> BoolElt
C1 eq C2 : GrpFPCosElt, GrpFPCosElt -> BoolElt
u eq v : GrpFPElt, GrpFPElt -> BoolElt
G eq H : GrphDir, GrphDir -> BoolElt
s eq t : GrphVert, GrphVert -> BoolElt
H eq G : GrpMat, GrpMat -> BoolElt
g eq h : GrpMatElt, GrpMatElt -> BoolElt
G eq H : GrpPC, GrpPC -> BoolElt
g eq h : GrpPCElt, GrpPCElt -> BoolElt
H eq G : GrpPerm, GrpPerm -> BoolElt
g eq h : GrpPermElt, GrpPermElt -> BoolElt
D eq E : Inc, Inc -> BoolElt
h eq k : KodSym, KodSym -> BoolElt
v eq w : LatElt, LatElt -> BoolElt
M eq N : ModMPol, ModMPol -> BoolElt
f eq g : ModMPolElt, ModMPolElt -> BoolElt
U eq V : ModTupFld, ModTupFld -> BoolElt
N eq M : ModTupRng, ModTupRng -> BoolElt
s eq t : MonStgElt, MonStgElt -> BoolElt
P eq Q : Plane, Plane -> BoolElt
l eq m : PlaneLn, PlaneLn -> BoolElt
p eq q : PlanePt, PlanePt -> BoolElt
R eq S : Rng, Rng -> BoolElt
R eq S : Rng, Rng -> Rng
a eq b : RngElt, RngElt -> BoolElt
I eq J : RngIdl, RngIdl -> BoolElt
I eq J : RngMPol, RngMPol -> BoolElt
I eq J : RngMPolRes, RngMPolRes -> BoolElt
N eq O : RngOrg, RngOrd -> Boolelt
S eq T : SeqEnum, SeqEnum -> BoolElt
R eq S : Set, Set -> BoolElt
u eq v : SgpFPElt, SgpFPElt -> BoolElt
e eq f : SubGrpLatElt, SubGrpLatElt -> SubGrpLatElt
e eq f : SubModLatElt, SubModLatElt -> SubModLatElt
T eq U : Tup, Tup -> BoolElt
equal
Comparison (OVERVIEW)
Equality
State_Equality (Example H1E7)
equality
Comparison (OVERVIEW)
Equality (LOCAL FIELDS)
Equality (POWER SERIES AND LAURENT SERIES)
Equality and Membership (CYCLOTOMIC FIELDS)
Equality and Membership (FUNCTION FIELDS AND THEIR ORDERS)
Equality and Membership (MULTIVARIATE POLYNOMIAL RINGS)
Equality and Membership (NUMBER FIELDS AND THEIR ORDERS)
Equality and Membership (POWER SERIES AND LAURENT SERIES)
Equality and Membership (QUADRATIC FIELDS)
Equality and Membership (RATIONAL FUNCTION FIELDS)
Equality and Membership (UNIVARIATE POLYNOMIAL RINGS)
Equality and Membership (VALUATION RINGS)
Equality Operators (STATEMENTS AND EXPRESSIONS)
Identity and Isomorphism (FINITE PLANES)
Identity and Isomorphism (INCIDENCE STRUCTURES AND DESIGNS)
equality-membership
Equality and Membership (CYCLOTOMIC FIELDS)
Equality and Membership (FUNCTION FIELDS AND THEIR ORDERS)
Equality and Membership (MULTIVARIATE POLYNOMIAL RINGS)
Equality and Membership (NUMBER FIELDS AND THEIR ORDERS)
Equality and Membership (POWER SERIES AND LAURENT SERIES)
Equality and Membership (QUADRATIC FIELDS)
Equality and Membership (RATIONAL FUNCTION FIELDS)
Equality and Membership (UNIVARIATE POLYNOMIAL RINGS)
Equality and Membership (VALUATION RINGS)
equality-operators
Equality Operators (STATEMENTS AND EXPRESSIONS)
equals
Comparison (OVERVIEW)
equation
Solution of a System of Linear Equations (VECTOR SPACES)
Solutions of Systems of Linear Equations (MATRIX ALGEBRAS)
Solutions of Systems of Linear Equations (THE MODULES Hom_(R)(M, N) AND End(M))
Solving equations (NUMBER FIELDS AND THEIR ORDERS)
Solving Linear Equations in Z/mZ (RESIDUE CLASS RINGS)
The Solution of Modular Equations (RING OF INTEGERS)
EquationOrder
EquationOrder(F) : FldQuad -> RngQuad
EquationOrder(f) : RngUPolElt -> RngOrd
EquationOrderFinite
EquationOrderFinite(F) : FldFun -> RngFunOrd
EquationOrderInfinite
EquationOrderInfinite(F) : FldFun -> RngFunOrd
EquitablePartition
EquitablePartition(P, G) : { { GrphVert } }, GrphUnd -> { { GrphVert } }
equivalent
Writing Representations over Smaller Fields (MATRIX GROUPS)
equivalent-rep
Writing Representations over Smaller Fields (MATRIX GROUPS)
Erf
ErrorFunction(r) : FldReElt -> FldReElt
Erfc
ComplementaryErrorFunction(r) : FldReElt -> FldReElt
error
Combinatorial and Geometrical Structures (OVERVIEW)
error statement (OVERVIEW)
ERROR-CORRECTING CODES
Possibility of Errors in Database of Groups of Order Dividing 256 (OVERVIEW)
Possibility of Errors in Database of Groups of Order Dividing 729 (OVERVIEW)
error expression, ..., expression;
error-correcting-linear-code
ERROR-CORRECTING CODES
error-if
error if boolexpr, expression, ..., expression;
ErrorFunction
ErrorFunction(r) : FldReElt -> FldReElt
errors
Error Checking and Assertions (STATEMENTS AND EXPRESSIONS)
escape
Performing shell commands from Magma (OVERVIEW)
Eta
Eta(A) : AlgGrp -> AlgGrpElt
Euclidean
Canonical Forms for Matrices over Euclidean Domains (MATRIX ALGEBRAS)
Euclidean-domain
Canonical Forms for Matrices over Euclidean Domains (MATRIX ALGEBRAS)
EuclideanNorm
EuclideanNorm(n) : RngIntElt -> RngIntElt
EuclideanNorm(p) : RngUPol -> RngIntElt
EuclideanNorm(v) : RngValElt -> RngIntElt
EulerGamma
EulerGamma(R) : FldPr -> FldPrElt
EulerianCircuit
[Future release] EulerianCircuit(G) : GrphUnd -> [GrphVert]
EulerianNumber
EulerianNumber(n, r) : RngIntElt, RngIntElt -> RngIntElt
EulerPhi
EulerPhi(n) : RngIntElt -> RngIntElt
Evaluate
Evaluate(f, r) : FldFunUElt, RngElt -> FldFunUElt
Evaluate(f, s) : RngMPolElt, [ RngElt ] -> RngElt
Evaluate(f, s) : RngSerElt, RngElt -> RngElt
Evaluate(p, r) : RngUPolElt, RngElt -> RngElt
evaluate
Evaluation (RATIONAL FUNCTION FIELDS)
Expression (OVERVIEW)
evaluation
Evaluation and Derivative (POWER SERIES AND LAURENT SERIES)
Evaluation in Magma (MAGMA SEMANTICS)
Evaluation, Interpolation (MULTIVARIATE POLYNOMIAL RINGS)
Evaluation, Interpolation (UNIVARIATE POLYNOMIAL RINGS)
Expression (OVERVIEW)
The Evaluation Process Revisited (MAGMA SEMANTICS)
evaluation-derivative
Evaluation and Derivative (POWER SERIES AND LAURENT SERIES)
evaluation-interpolation
Evaluation, Interpolation (MULTIVARIATE POLYNOMIAL RINGS)
EvenWeightCode
EvenWeightCode(n) : RngIntElt -> Code
ExactQuotient
ExactQuotient(n, d) : RngIntElt, RngIntElt -> RngIntElt
ExactQuotient(f, g) : RngUPolElt, RngUPolElt -> RngUPolElt
f div g : RngMPolElt, RngMPolElt -> RngMPolElt
example
Example (OVERVIEW)
Example for Database of Groups of Order Dividing 256 (OVERVIEW)
Example for Database of Groups of Order Dividing 729 (OVERVIEW)
AlgAss_liealg (Example H48E1)
AlgCon_cayley (Example H47E2)
AlgCon_jordan (Example H47E1)
AlgFP_Abstract (Example H52E2)
AlgFP_FreeAlgebra (Example H52E1)
AlgFP_PermutationActionD8 (Example H52E3)
AlgFP_Quotient (Example H52E4)
AlgGen_quaternions (Example H46E1)
AlgGrp_average (Example H50E6)
AlgGrp_creation (Example H50E1)
AlgGrp_el-creation (Example H50E2)
AlgGrp_jacobson (Example H50E4)
AlgGrp_powering (Example H50E5)
AlgGrp_wedderburn (Example H50E3)
AlgLie_CartanSubalgebra (Example H49E4)
AlgLie_DirectSumDecomposition (Example H49E6)
AlgLie_LieAlgebra (Example H49E11)
AlgLie_NonNilpotentElement (Example H49E10)
AlgLie_Operations (Example H49E3)
AlgLie_Other (Example H49E9)
AlgLie_Predicates (Example H49E7)
AlgLie_RootSystem (Example H49E2)
AlgLie_SemiSimpleType (Example H49E8)
AlgLie_Series (Example H49E5)
AlgLie_SimpleLieAlgebra (Example H49E1)
AlgMat_Cambridge (Example H51E2)
AlgMat_CanonicalForms (Example H51E8)
AlgMat_Creation (Example H51E1)
AlgMat_EchelonForm (Example H51E6)
AlgMat_ElementaryDivisors (Example H51E7)
AlgMat_Invariants (Example H51E3)
AlgMat_Products (Example H51E5)
AlgMat_SubAlgebra (Example H51E4)
Chtr_A5 (Example H22E1)
Code_AlternantCode (Example H58E7)
Code_AutomorphismGroup (Example H58E20)
Code_BCHCode (Example H58E8)
Code_CodeFromMatrix (Example H58E2)
Code_CosetLeaders (Example H58E13)
Code_CyclicCode (Example H58E6)
Code_Decode (Example H58E18)
Code_Distance (Example H58E12)
Code_GRSCode (Example H58E10)
Code_GoppaCode (Example H58E9)
Code_HammingCode (Example H58E4)
Code_MattsonSolomonTransform (Example H58E19)
Code_PermutationCode (Example H58E3)
Code_QuadraticResidueCode (Example H58E11)
Code_ReedMullerCode (Example H58E5)
Code_StandardForm (Example H58E14)
Code_TernaryGolayCode (Example H58E1)
Code_WeightDistribution (Example H58E16)
Code_WeightEnumerator (Example H58E17)
Code_Words (Example H58E15)
Coproduct_cop (Example H11E1)
Design_Constructors (Example H56E1)
Design_DevelopDifferenceSet (Example H56E6)
Design_auto (Example H56E10)
Design_automorphism (Example H56E11)
Design_conv (Example H56E9)
Design_design-invar (Example H56E7)
Design_graphs (Example H56E12)
Design_hadamard (Example H56E5)
Design_points-blocks (Example H56E2)
Design_pts-blks-ops (Example H56E8)
Design_related (Example H56E3)
Design_wittex (Example H56E4)
Elcu_BaseExtend (Example H53E3)
Elcu_Creation (Example H53E1)
Elcu_DivisionPolynomial (Example H53E5)
Elcu_DualIsogeny (Example H53E18)
Elcu_Frobenius (Example H53E17)
Elcu_FunctionField (Example H53E2)
Elcu_GenericPoint (Example H53E9)
Elcu_Invariants (Example H53E6)
Elcu_Isogeny (Example H53E14)
Elcu_Isomorphism (Example H53E15)
Elcu_IsomorphismClasses (Example H53E8)
Elcu_Kodaira (Example H53E12)
Elcu_Map (Example H53E16)
Elcu_Models (Example H53E4)
Elcu_MordellWeil (Example H53E7)
Elcu_Order (Example H53E10)
Elcu_PlayWithPoints (Example H53E11)
Elcu_Trace (Example H53E13)
EnumComb_OddGraph (Example H54E1)
EnumComb_Partitions (Example H54E2)
EnumComb_RestrictedPartitions (Example H54E3)
Env_Startup (Example H4E1)
FldCyc_GaussianPeriods (Example H35E1)
FldFin_Extensions (Example H27E1)
FldFin_Functions (Example H27E3)
FldFin_VectorSpace (Example H27E2)
FldFunG_Creation (Example H32E1)
FldFunG_Elements (Example H32E3)
FldFunG_Ideals (Example H32E4)
FldFunG_Orders (Example H32E2)
FldFun_FunctionField (Example H31E2)
FldFun_Homomorphism (Example H31E1)
FldFun_PartialFractionDecomposition (Example H31E3)
FldLoc_Creation (Example H39E1)
FldNum_Bases (Example H36E9)
FldNum_BetterPoly (Example H36E4)
FldNum_Compositum (Example H36E3)
FldNum_Creation (Example H36E2)
FldNum_Discriminant (Example H36E12)
FldNum_Elements (Example H36E7)
FldNum_Homomorphisms (Example H36E1)
FldNum_IdealFactorization (Example H36E14)
FldNum_Ideals (Example H36E8)
FldNum_MultiplicationTable (Example H36E10)
FldNum_NormsEtc (Example H36E13)
FldNum_Orders (Example H36E5)
FldNum_Round2 (Example H36E6)
FldNum_UnitGroup (Example H36E11)
FldQuad_Forms (Example H34E4)
FldQuad_Represent (Example H34E5)
FldQuad_creation (Example H34E2)
FldQuad_hom (Example H34E1)
FldQuad_norm-equation (Example H34E3)
FldRat_Coercion (Example H26E1)
FldRat_homomorphism (Example H26E2)
FldRat_numerator (Example H26E3)
FldRe_CreateComplexField (Example H37E3)
FldRe_CreateElements (Example H37E4)
FldRe_FixedPrecision (Example H37E1)
FldRe_Homomorphisms (Example H37E2)
FldRe_Integral (Example H37E7)
FldRe_Roots (Example H37E5)
FldRe_RootsNonExact (Example H37E6)
Func_InteractiveUserAttributes (Example H2E11)
Func_InteractiveUserAttributes (Example H2E12)
Func_Parameters (Example H2E2)
Func_Procedures (Example H2E3)
Func_Recursion (Example H2E1)
Func_SystemAttributes (Example H2E10)
Func_forward (Example H2E4)
Func_import (Example H2E6)
Func_intrinsic (Example H2E5)
Func_require (Example H2E7)
Func_spec (Example H2E8)
Func_startup-spec (Example H2E9)
Graph_AutomorphismAction (Example H55E13)
Graph_AutomorphismGroup (Example H55E14)
Graph_CayleyGraph (Example H55E8)
Graph_ChromaticNumber (Example H55E12)
Graph_Constructors (Example H55E1)
Graph_Constructors (Example H55E3)
Graph_Constructors (Example H55E4)
Graph_Constructors (Example H55E5)
Graph_EdgeSets (Example H55E6)
Graph_Grotzch (Example H55E11)
Graph_Labels (Example H55E7)
Graph_Labels (Example H55E9)
Graph_Quotient (Example H55E10)
Graph_TutteCage (Example H55E2)
GrpAb_AbelianGroup (Example H18E3)
GrpAb_FreeAbelianGroup (Example H18E1)
GrpAb_Relations (Example H18E2)
GrpBB_BlackboxGroup (Example H17E1)
GrpBB_ConstructingHomomorphisms (Example H17E2)
GrpBB_HomomorphismSpeed (Example H17E3)
GrpFP_BuildSubgroups (Example H16E20)
GrpFP_Co1 (Example H16E24)
GrpFP_ControlExtn (Example H16E11)
GrpFP_Coxeter (Example H16E8)
GrpFP_DerSub (Example H16E22)
GrpFP_DirectProduct (Example H16E12)
GrpFP_ExcludedConjugates (Example H16E23)
GrpFP_F27 (Example H16E26)
GrpFP_F276 (Example H16E36)
GrpFP_F29 (Example H16E37)
GrpFP_Family (Example H16E18)
GrpFP_Free (Example H16E1)
GrpFP_G23 (Example H16E25)
GrpFP_G8723 (Example H16E16)
GrpFP_HN (Example H16E17)
GrpFP_Lix1 (Example H16E38)
GrpFP_Lix2 (Example H16E39)
GrpFP_Lix3 (Example H16E40)
GrpFP_Lix4 (Example H16E41)
GrpFP_Modular (Example H16E7)
GrpFP_Relations (Example H16E2)
GrpFP_Replace (Example H16E9)
GrpFP_Rewrite (Example H16E35)
GrpFP_SubgroupOps (Example H16E19)
GrpFP_Subgroups1 (Example H16E14)
GrpFP_Subgroups2 (Example H16E15)
GrpFP_Sym8 (Example H16E10)
GrpFP_Symmetric1 (Example H16E3)
GrpFP_Symmetric2 (Example H16E4)
GrpFP_Tetrahedral (Example H16E5)
GrpFP_ThreeInvols (Example H16E6)
GrpFP_ToddCoxeter (Example H16E21)
GrpFP_WordOps (Example H16E13)
GrpFP_pQuotient1 (Example H16E27)
GrpFP_pQuotient2 (Example H16E28)
GrpFP_pQuotient3 (Example H16E29)
GrpFP_pQuotient4 (Example H16E30)
GrpFP_pQuotient5 (Example H16E31)
GrpFP_pQuotient6 (Example H16E32)
GrpFP_pQuotient7 (Example H16E33)
GrpFP_pQuotient8 (Example H16E34)
GrpMat_Actions (Example H21E15)
GrpMat_Arithmetic (Example H21E3)
GrpMat_Constructions (Example H21E11)
GrpMat_Constructor (Example H21E5)
GrpMat_CosetAction (Example H21E16)
GrpMat_Create (Example H21E1)
GrpMat_Decompose (Example H21E21)
GrpMat_ExtraSpecial (Example H21E22)
GrpMat_GLSylow (Example H21E6)
GrpMat_Invariants (Example H21E4)
GrpMat_IsOverSmallerField (Example H21E24)
GrpMat_IsPrimitive (Example H21E18)
GrpMat_Matrices (Example H21E2)
GrpMat_Orbits (Example H21E14)
GrpMat_Order (Example H21E12)
GrpMat_Quotient (Example H21E8)
GrpMat_Random (Example H21E13)
GrpMat_Semilinearity (Example H21E19)
GrpMat_Series (Example H21E17)
GrpMat_Subgroups (Example H21E7)
GrpMat_Suzuki (Example H21E10)
GrpMat_SymmetricTensor (Example H21E23)
GrpMat_Symplectic (Example H21E9)
GrpMat_Tensor (Example H21E20)
GrpMat_WriteOverSmallerField (Example H21E25)
GrpPC_CompactPresentation (Example H19E13)
GrpPC_DefiningAutomorphisms (Example H19E9)
GrpPC_EAS (Example H19E5)
GrpPC_GeneratepGroups (Example H19E10)
GrpPC_Hall (Example H19E4)
GrpPC_Interactive (Example H19E7)
GrpPC_IsGood (Example H19E11)
GrpPC_PolycyclicGroup (Example H19E1)
GrpPC_PowerGroup (Example H19E8)
GrpPC_PowerGroupTwo (Example H19E12)
GrpPC_Set (Example H19E3)
GrpPC_Standard (Example H19E2)
GrpPC_StandardPresentation (Example H19E6)
GrpPerm_Actions (Example H20E13)
GrpPerm_Arithmetic (Example H20E3)
GrpPerm_BSGS (Example H20E23)
GrpPerm_BasicAccess (Example H20E9)
GrpPerm_BlocksActions (Example H20E15)
GrpPerm_Classes (Example H20E20)
GrpPerm_CompFactors (Example H20E19)
GrpPerm_Constructors (Example H20E5)
GrpPerm_Extensions (Example H20E8)
GrpPerm_Hessian (Example H20E4)
GrpPerm_OrbitActions (Example H20E14)
GrpPerm_Order (Example H20E10)
GrpPerm_Permutations (Example H20E2)
GrpPerm_PrimitiveStructure (Example H20E18)
GrpPerm_Quotient (Example H20E6)
GrpPerm_RandomSchreier (Example H20E24)
GrpPerm_Series (Example H20E17)
GrpPerm_SetOperations (Example H20E11)
GrpPerm_Stabilizers (Example H20E12)
GrpPerm_StandardGroups (Example H20E7)
GrpPerm_SubgroupConstructions (Example H20E16)
GrpPerm_Sym (Example H20E1)
GrpPerm_Transitive (Example H20E21)
GrpPerm_TransitiveProcess (Example H20E22)
Grp_Arithmetic (Example H15E2)
Grp_Classes (Example H15E13)
Grp_CosetAction (Example H15E8)
Grp_CreateSubgroupPoset (Example H15E15)
Grp_Extensions (Example H15E7)
Grp_FPGroup (Example H15E9)
Grp_Generators (Example H15E10)
Grp_GroupConstructors (Example H15E3)
Grp_Homomorphisms (Example H15E1)
Grp_LatticeOperations (Example H15E16)
Grp_Modules (Example H15E17)
Grp_Order (Example H15E11)
Grp_Quotient (Example H15E5)
Grp_SetOperations (Example H15E12)
Grp_StandardGroups (Example H15E6)
Grp_Subgroup (Example H15E4)
Grp_Subgroups (Example H15E14)
HMod_Create (Example H43E1)
HMod_CreateHom (Example H43E2)
HMod_CreateHomGHom (Example H43E3)
HMod_Forms1 (Example H43E10)
HMod_Forms2 (Example H43E11)
HMod_Indexing (Example H43E8)
HMod_Matrix (Example H43E6)
HMod_Operations (Example H43E7)
HMod_Reduce (Example H43E4)
HMod_ReduceHom (Example H43E5)
HMod_RowOps (Example H43E9)
IO_GetTime (Example H3E10)
IO_LineCount (Example H3E9)
IO_Read (Example H3E11)
IO_Regexp (Example H3E3)
IO_Split (Example H3E2)
IO_Sprintf (Example H3E8)
IO_Strings (Example H3E1)
IO_auto-print (Example H3E7)
IO_printf (Example H3E4)
IO_printf (Example H3E6)
IO_printf2 (Example H3E5)
KMod_Arithmetic (Example H41E5)
KMod_Basis (Example H41E12)
KMod_CreateK35 (Example H41E2)
KMod_CreateQ6 (Example H41E1)
KMod_Indexing (Example H41E6)
KMod_LinearTrans (Example H41E13)
KMod_Matrices (Example H41E4)
KMod_Quotients1 (Example H41E9)
KMod_Quotients2 (Example H41E10)
KMod_Quotients3 (Example H41E11)
KMod_Rowops (Example H41E14)
KMod_Subspace1 (Example H41E7)
KMod_Subspace2 (Example H41E8)
KMod_Vectors (Example H41E3)
Lat_AutoAction (Example H45E16)
Lat_AutoDepth (Example H45E18)
Lat_AutoStabilizers (Example H45E17)
Lat_Closest (Example H45E8)
Lat_Code (Example H45E2)
Lat_Isom (Example H45E19)
Lat_Knapsack (Example H45E9)
Lat_LLLXGCD (Example H45E13)
Lat_LatticeCreate (Example H45E1)
Lat_LatticeFunctions (Example H45E4)
Lat_Leech (Example H45E7)
Lat_Neighbour (Example H45E20)
Lat_Neighbour (Example H45E6)
Lat_OrderLattice (Example H45E3)
Lat_Orthogonalize (Example H45E15)
Lat_PositiveDefiniteForm (Example H45E21)
Lat_Seysen (Example H45E14)
Lat_SingularElements (Example H45E10)
Lat_SubSuperQuo (Example H45E5)
Lat_Sublattices (Example H45E22)
Lat_ThetaSeries (Example H45E11)
Lat_Voronoi (Example H45E12)
PMod_Create (Example H44E1)
PMod_Element (Example H44E2)
PMod_FreeResolution (Example H44E6)
PMod_Hilbert (Example H44E4)
PMod_Hilbert (Example H44E5)
PMod_SubQuo (Example H44E3)
Plane_Collineation (Example H57E13)
Plane_CollineationGSet (Example H57E12)
Plane_Constructors (Example H57E1)
Plane_arcs (Example H57E10)
Plane_baer (Example H57E14)
Plane_cent-coll (Example H57E15)
Plane_codes (Example H57E18)
Plane_decon (Example H57E8)
Plane_designs (Example H57E17)
Plane_elt-other (Example H57E9)
Plane_embedding (Example H57E7)
Plane_invar (Example H57E6)
Plane_points-lines (Example H57E2)
Plane_sub (Example H57E4)
Plane_sub (Example H57E5)
Plane_supp (Example H57E3)
Plane_trans (Example H57E16)
Plane_unital (Example H57E11)
RMod_Access (Example H42E9)
RMod_CompSeries (Example H42E18)
RMod_Constructions (Example H42E11)
RMod_CreateA4wrC3 (Example H42E7)
RMod_CreateA7 (Example H42E5)
RMod_CreateK6 (Example H42E2)
RMod_CreateL27 (Example H42E3)
RMod_CreateLattice (Example H42E21)
RMod_CreateM11 (Example H42E6)
RMod_CreateM12 (Example H42E4)
RMod_CreateMatrices (Example H42E8)
RMod_CreateZ6 (Example H42E1)
RMod_Dual (Example H42E10)
RMod_Elements (Example H42E14)
RMod_EndoRing (Example H42E20)
RMod_GModules1 (Example H42E12)
RMod_GModules2 (Example H42E13)
RMod_LatticeOps (Example H42E22)
RMod_Meataxe (Example H42E17)
RMod_Minimals (Example H42E19)
RMod_Operations (Example H42E15)
RMod_Submodule (Example H42E16)
Rec_Record (Example H12E2)
Rec_RecordAccess (Example H12E3)
Rec_RecordFormat (Example H12E1)
RngIntRes_Coercion (Example H25E1)
RngInt_Amicable (Example H24E4)
RngInt_Integers (Example H24E2)
RngInt_IsPrime (Example H24E3)
RngInt_Perfect (Example H24E6)
RngInt_RepUnits (Example H24E5)
RngInt_hom (Example H24E1)
RngInt_norm-equation (Example H24E7)
RngInvar_AdemMilgram (Example H30E6)
RngInvar_Attributes (Example H30E15)
RngInvar_Depth (Example H30E11)
RngInvar_FundamentalInvariants (Example H30E8)
RngInvar_GModule (Example H30E2)
RngInvar_GroupActions (Example H30E1)
RngInvar_HomogeneousModuleTest2 (Example H30E14)
RngInvar_InvariantsOfDegree (Example H30E3)
RngInvar_InvariantsOfDegree (Example H30E4)
RngInvar_MinimalAlgebraGenerators (Example H30E13)
RngInvar_Module (Example H30E9)
RngInvar_MolienSeries (Example H30E5)
RngInvar_Relations (Example H30E10)
RngInvar_SecondaryInvariants (Example H30E7)
RngInvar_SteenrodOperation (Example H30E12)
RngMPol_AssignNames (Example H29E2)
RngMPol_ChangeOrder (Example H29E21)
RngMPol_ChangeRing (Example H29E20)
RngMPol_Coefficients (Example H29E4)
RngMPol_Coordinates (Example H29E13)
RngMPol_Cyclic6 (Example H29E10)
RngMPol_ElementOperations (Example H29E15)
RngMPol_EliminationIdeal (Example H29E17)
RngMPol_FiniteFieldFactorization (Example H29E9)
RngMPol_Graded (Example H29E24)
RngMPol_GroebnerWalk (Example H29E12)
RngMPol_Heron (Example H29E8)
RngMPol_Hilbert (Example H29E25)
RngMPol_HilbertGroebner (Example H29E26)
RngMPol_HomogeneousModuleTest1 (Example H29E31)
RngMPol_Homomorphism (Example H29E1)
RngMPol_IdealArithmetic (Example H29E14)
RngMPol_Interpolate (Example H29E5)
RngMPol_IsSymmetric (Example H29E30)
RngMPol_Map1 (Example H29E29)
RngMPol_MinimalPolynomial (Example H29E28)
RngMPol_Order (Example H29E3)
RngMPol_PrimaryDecomposition (Example H29E23)
RngMPol_Radical (Example H29E22)
RngMPol_RelationIdeal (Example H29E19)
RngMPol_RungeKutta2 (Example H29E11)
RngMPol_SyzygyModule (Example H29E27)
RngMPol_Trinomials (Example H29E6)
RngMPol_Vandermonde (Example H29E7)
RngMPol_Variety (Example H29E16)
RngMPol_ZRadical (Example H29E18)
RngPol_ChangeRing (Example H28E3)
RngPol_Hensel (Example H28E4)
RngPol_Homomorphism (Example H28E1)
RngPol_Polynomials (Example H28E2)
Seq_EgyptianFractions (Example H8E4)
Seq_Farey (Example H8E3)
Seq_NestedIteration (Example H8E6)
Seq_PowerSequence (Example H8E2)
Seq_Progression (Example H8E1)
Seq_Self (Example H8E5)
Set_AlmostFermat (Example H7E2)
Set_AlmostFermatIndexed (Example H7E3)
Set_Exists (Example H7E12)
Set_ExtractRep (Example H7E9)
Set_Include (Example H7E10)
Set_Join (Example H7E11)
Set_Miscellaneous (Example H7E7)
Set_Multiset (Example H7E4)
Set_NestedExists (Example H7E13)
Set_PowerSet (Example H7E6)
Set_Progression (Example H7E5)
Set_Random (Example H7E8)
Set_Reduction (Example H7E14)
Set_Universe (Example H7E1)
SgpFP_FreeSemigroup (Example H14E1)
SgpFP_Monoid (Example H14E2)
State_Booleans (Example H1E8)
State_Equality (Example H1E7)
State_GeneratorNaming (Example H1E5)
State_GeneratorNamingSequence (Example H1E4)
State_Identifiers (Example H1E1)
State_InLineConditional (Example H1E11)
State_Indexing (Example H1E3)
State_MultipleReturns (Example H1E2)
State_MutationAssignment (Example H1E6)
State_Time (Example H1E17)
State_Various (Example H1E16)
State_break (Example H1E15)
State_case (Example H1E12)
State_if (Example H1E10)
State_repeat (Example H1E14)
State_where (Example H1E9)
State_while (Example H1E13)
Tup_CartesianProduct (Example H9E1)
Tup_Tuple (Example H9E2)
Tup_TupleAccess (Example H9E3)
Example-A5
Chtr_A5 (Example H22E1)
Example-AbelianGroup
GrpAb_AbelianGroup (Example H18E3)
Example-Abstract
AlgFP_Abstract (Example H52E2)
Example-Access
RMod_Access (Example H42E9)
Example-Actions
GrpMat_Actions (Example H21E15)
GrpPerm_Actions (Example H20E13)
Example-AdemMilgram
RngInvar_AdemMilgram (Example H30E6)
Example-AlmostFermat
Set_AlmostFermat (Example H7E2)
Example-AlmostFermatIndexed
Set_AlmostFermatIndexed (Example H7E3)
Example-AlternantCode
Code_AlternantCode (Example H58E7)
Example-Amicable
RngInt_Amicable (Example H24E4)
Example-arcs
Plane_arcs (Example H57E10)
Example-Arithmetic
GrpMat_Arithmetic (Example H21E3)
GrpPerm_Arithmetic (Example H20E3)
Grp_Arithmetic (Example H15E2)
KMod_Arithmetic (Example H41E5)
Example-AssignNames
RngMPol_AssignNames (Example H29E2)
Example-Attributes
RngInvar_Attributes (Example H30E15)
Example-auto
Design_auto (Example H56E10)
Example-auto-print
IO_auto-print (Example H3E7)
Example-AutoAction
Lat_AutoAction (Example H45E16)
Example-AutoDepth
Lat_AutoDepth (Example H45E18)
Example-automorphism
Design_automorphism (Example H56E11)
Example-AutomorphismAction
Graph_AutomorphismAction (Example H55E13)
Example-AutomorphismGroup
Code_AutomorphismGroup (Example H58E20)
Graph_AutomorphismGroup (Example H55E14)
Example-AutoStabilizers
Lat_AutoStabilizers (Example H45E17)
Example-average
AlgGrp_average (Example H50E6)
Example-baer
Plane_baer (Example H57E14)
Example-BaseExtend
Elcu_BaseExtend (Example H53E3)
Example-Bases
FldNum_Bases (Example H36E9)
Example-BasicAccess
GrpPerm_BasicAccess (Example H20E9)
Example-Basis
KMod_Basis (Example H41E12)
Example-BCHCode
Code_BCHCode (Example H58E8)
Example-BetterPoly
FldNum_BetterPoly (Example H36E4)
Example-BlackboxGroup
GrpBB_BlackboxGroup (Example H17E1)
Example-BlocksActions
GrpPerm_BlocksActions (Example H20E15)
Example-Booleans
State_Booleans (Example H1E8)
Example-break
State_break (Example H1E15)
Example-BSGS
GrpPerm_BSGS (Example H20E23)
Example-BuildSubgroups
GrpFP_BuildSubgroups (Example H16E20)
Example-Cambridge
AlgMat_Cambridge (Example H51E2)
Example-CanonicalForms
AlgMat_CanonicalForms (Example H51E8)
Example-CartanSubalgebra
AlgLie_CartanSubalgebra (Example H49E4)
Example-CartesianProduct
Tup_CartesianProduct (Example H9E1)
Example-case
State_case (Example H1E12)
Example-cayley
AlgCon_cayley (Example H47E2)
Example-CayleyGraph
Graph_CayleyGraph (Example H55E8)
Example-cent-coll
Plane_cent-coll (Example H57E15)
Example-ChangeOrder
RngMPol_ChangeOrder (Example H29E21)
Example-ChangeRing
RngMPol_ChangeRing (Example H29E20)
RngPol_ChangeRing (Example H28E3)
Example-ChromaticNumber
Graph_ChromaticNumber (Example H55E12)
Example-Classes
GrpPerm_Classes (Example H20E20)
Grp_Classes (Example H15E13)
Example-Closest
Lat_Closest (Example H45E8)
Example-Co1
GrpFP_Co1 (Example H16E24)
Example-Code
Lat_Code (Example H45E2)
Example-CodeFromMatrix
Code_CodeFromMatrix (Example H58E2)
Example-codes
Plane_codes (Example H57E18)
Example-Coefficients
RngMPol_Coefficients (Example H29E4)
Example-Coercion
FldRat_Coercion (Example H26E1)
RngIntRes_Coercion (Example H25E1)
Example-Collineation
Plane_Collineation (Example H57E13)
Example-CollineationGSet
Plane_CollineationGSet (Example H57E12)
Example-CompactPresentation
GrpPC_CompactPresentation (Example H19E13)
Example-CompFactors
GrpPerm_CompFactors (Example H20E19)
Example-Compositum
FldNum_Compositum (Example H36E3)
Example-CompSeries
RMod_CompSeries (Example H42E18)
Example-ConstructingHomomorphisms
GrpBB_ConstructingHomomorphisms (Example H17E2)
Example-Constructions
GrpMat_Constructions (Example H21E11)
RMod_Constructions (Example H42E11)
Example-Constructor
GrpMat_Constructor (Example H21E5)
Example-Constructors
Design_Constructors (Example H56E1)
Graph_Constructors (Example H55E1)
Graph_Constructors (Example H55E3)
Graph_Constructors (Example H55E4)
Graph_Constructors (Example H55E5)
GrpPerm_Constructors (Example H20E5)
Plane_Constructors (Example H57E1)
Example-ControlExtn
GrpFP_ControlExtn (Example H16E11)
Example-conv
Design_conv (Example H56E9)
Example-Coordinates
RngMPol_Coordinates (Example H29E13)
Example-cop
Coproduct_cop (Example H11E1)
Example-CosetAction
GrpMat_CosetAction (Example H21E16)
Grp_CosetAction (Example H15E8)
Example-CosetLeaders
Code_CosetLeaders (Example H58E13)
Example-Coxeter
GrpFP_Coxeter (Example H16E8)
Example-Create
GrpMat_Create (Example H21E1)
HMod_Create (Example H43E1)
PMod_Create (Example H44E1)
Example-CreateA4wrC3
RMod_CreateA4wrC3 (Example H42E7)
Example-CreateA7
RMod_CreateA7 (Example H42E5)
Example-CreateComplexField
FldRe_CreateComplexField (Example H37E3)
Example-CreateElements
FldRe_CreateElements (Example H37E4)
Example-CreateHom
HMod_CreateHom (Example H43E2)
Example-CreateHomGHom
HMod_CreateHomGHom (Example H43E3)
Example-CreateK35
KMod_CreateK35 (Example H41E2)
Example-CreateK6
RMod_CreateK6 (Example H42E2)
Example-CreateL27
RMod_CreateL27 (Example H42E3)
Example-CreateLattice
RMod_CreateLattice (Example H42E21)
Example-CreateM11
RMod_CreateM11 (Example H42E6)
Example-CreateM12
RMod_CreateM12 (Example H42E4)
Example-CreateMatrices
RMod_CreateMatrices (Example H42E8)
Example-CreateQ6
KMod_CreateQ6 (Example H41E1)
Example-CreateSubgroupPoset
Grp_CreateSubgroupPoset (Example H15E15)
Example-CreateZ6
RMod_CreateZ6 (Example H42E1)
Example-Creation
AlgMat_Creation (Example H51E1)
Elcu_Creation (Example H53E1)
FldFunG_Creation (Example H32E1)
FldLoc_Creation (Example H39E1)
FldNum_Creation (Example H36E2)
Example-creation
AlgGrp_creation (Example H50E1)
FldQuad_creation (Example H34E2)
Example-Cyclic6
RngMPol_Cyclic6 (Example H29E10)
Example-CyclicCode
Code_CyclicCode (Example H58E6)
Example-Decode
Code_Decode (Example H58E18)
Example-Decompose
GrpMat_Decompose (Example H21E21)
Example-decon
Plane_decon (Example H57E8)
Example-DefiningAutomorphisms
GrpPC_DefiningAutomorphisms (Example H19E9)
Example-Depth
RngInvar_Depth (Example H30E11)
Example-DerSub
GrpFP_DerSub (Example H16E22)
Example-design-invar
Design_design-invar (Example H56E7)
Example-designs
Plane_designs (Example H57E17)
Example-DevelopDifferenceSet
Design_DevelopDifferenceSet (Example H56E6)
Example-DirectProduct
GrpFP_DirectProduct (Example H16E12)
Example-DirectSumDecomposition
AlgLie_DirectSumDecomposition (Example H49E6)
Example-Discriminant
FldNum_Discriminant (Example H36E12)
Example-Distance
Code_Distance (Example H58E12)
Example-DivisionPolynomial
Elcu_DivisionPolynomial (Example H53E5)
Example-Dual
RMod_Dual (Example H42E10)
Example-DualIsogeny
Elcu_DualIsogeny (Example H53E18)
Example-EAS
GrpPC_EAS (Example H19E5)
Example-EchelonForm
AlgMat_EchelonForm (Example H51E6)
Example-EdgeSets
Graph_EdgeSets (Example H55E6)
Example-EgyptianFractions
Seq_EgyptianFractions (Example H8E4)
Example-el-creation
AlgGrp_el-creation (Example H50E2)
Example-Element
PMod_Element (Example H44E2)
Example-ElementaryDivisors
AlgMat_ElementaryDivisors (Example H51E7)
Example-ElementOperations
RngMPol_ElementOperations (Example H29E15)
Example-Elements
FldFunG_Elements (Example H32E3)
FldNum_Elements (Example H36E7)
RMod_Elements (Example H42E14)
Example-EliminationIdeal
RngMPol_EliminationIdeal (Example H29E17)
Example-elt-other
Plane_elt-other (Example H57E9)
Example-embedding
Plane_embedding (Example H57E7)
Example-EndoRing
RMod_EndoRing (Example H42E20)
Example-Equality
State_Equality (Example H1E7)
Example-ExcludedConjugates
GrpFP_ExcludedConjugates (Example H16E23)
Example-Exists
Set_Exists (Example H7E12)
Example-Extensions
FldFin_Extensions (Example H27E1)
GrpPerm_Extensions (Example H20E8)
Grp_Extensions (Example H15E7)
Example-ExtractRep
Set_ExtractRep (Example H7E9)
Example-ExtraSpecial
GrpMat_ExtraSpecial (Example H21E22)
Example-F27
GrpFP_F27 (Example H16E26)
Example-F276
GrpFP_F276 (Example H16E36)
Example-F29
GrpFP_F29 (Example H16E37)
Example-Family
GrpFP_Family (Example H16E18)
Example-Farey
Seq_Farey (Example H8E3)
Example-FiniteFieldFactorization
RngMPol_FiniteFieldFactorization (Example H29E9)
Example-FixedPrecision
FldRe_FixedPrecision (Example H37E1)
Example-Forms
FldQuad_Forms (Example H34E4)
Example-Forms1
HMod_Forms1 (Example H43E10)
Example-Forms2
HMod_Forms2 (Example H43E11)
Example-forward
Func_forward (Example H2E4)
Example-FPGroup
Grp_FPGroup (Example H15E9)
Example-Free
GrpFP_Free (Example H16E1)
Example-FreeAbelianGroup
GrpAb_FreeAbelianGroup (Example H18E1)
Example-FreeAlgebra
AlgFP_FreeAlgebra (Example H52E1)
Example-FreeResolution
PMod_FreeResolution (Example H44E6)
Example-FreeSemigroup
SgpFP_FreeSemigroup (Example H14E1)
Example-Frobenius
Elcu_Frobenius (Example H53E17)
Example-FunctionField
Elcu_FunctionField (Example H53E2)
FldFun_FunctionField (Example H31E2)
Example-Functions
FldFin_Functions (Example H27E3)
Example-FundamentalInvariants
RngInvar_FundamentalInvariants (Example H30E8)
Example-G23
GrpFP_G23 (Example H16E25)
Example-G8723
GrpFP_G8723 (Example H16E16)
Example-GaussianPeriods
FldCyc_GaussianPeriods (Example H35E1)
Example-GeneratepGroups
GrpPC_GeneratepGroups (Example H19E10)
Example-GeneratorNaming
State_GeneratorNaming (Example H1E5)
Example-GeneratorNamingSequence
State_GeneratorNamingSequence (Example H1E4)
Example-Generators
Grp_Generators (Example H15E10)
Example-GenericPoint
Elcu_GenericPoint (Example H53E9)
Example-GetTime
IO_GetTime (Example H3E10)
Example-GLSylow
GrpMat_GLSylow (Example H21E6)
Example-GModule
RngInvar_GModule (Example H30E2)
Example-GModules1
RMod_GModules1 (Example H42E12)
Example-GModules2
RMod_GModules2 (Example H42E13)
Example-GoppaCode
Code_GoppaCode (Example H58E9)
Example-Graded
RngMPol_Graded (Example H29E24)
Example-graphs
Design_graphs (Example H56E12)
Example-GroebnerWalk
RngMPol_GroebnerWalk (Example H29E12)
Example-Grotzch
Graph_Grotzch (Example H55E11)
Example-GroupActions
RngInvar_GroupActions (Example H30E1)
Example-GroupConstructors
Grp_GroupConstructors (Example H15E3)
Example-GRSCode
Code_GRSCode (Example H58E10)
Example-hadamard
Design_hadamard (Example H56E5)
Example-Hall
GrpPC_Hall (Example H19E4)
Example-HammingCode
Code_HammingCode (Example H58E4)
Example-Hensel
RngPol_Hensel (Example H28E4)
Example-Heron
RngMPol_Heron (Example H29E8)
Example-Hessian
GrpPerm_Hessian (Example H20E4)
Example-Hilbert
PMod_Hilbert (Example H44E4)
PMod_Hilbert (Example H44E5)
RngMPol_Hilbert (Example H29E25)
Example-HilbertGroebner
RngMPol_HilbertGroebner (Example H29E26)
Example-HN
GrpFP_HN (Example H16E17)
Example-hom
FldQuad_hom (Example H34E1)
RngInt_hom (Example H24E1)
Example-HomogeneousModuleTest1
RngMPol_HomogeneousModuleTest1 (Example H29E31)
Example-HomogeneousModuleTest2
RngInvar_HomogeneousModuleTest2 (Example H30E14)
Example-Homomorphism
FldFun_Homomorphism (Example H31E1)
RngMPol_Homomorphism (Example H29E1)
RngPol_Homomorphism (Example H28E1)
Example-homomorphism
FldRat_homomorphism (Example H26E2)
Example-Homomorphisms
FldNum_Homomorphisms (Example H36E1)
FldRe_Homomorphisms (Example H37E2)
Grp_Homomorphisms (Example H15E1)
Example-HomomorphismSpeed
GrpBB_HomomorphismSpeed (Example H17E3)
Example-IdealArithmetic
RngMPol_IdealArithmetic (Example H29E14)
Example-IdealFactorization
FldNum_IdealFactorization (Example H36E14)
Example-Ideals
FldFunG_Ideals (Example H32E4)
FldNum_Ideals (Example H36E8)
Example-Identifiers
State_Identifiers (Example H1E1)
Example-if
State_if (Example H1E10)
Example-import
Func_import (Example H2E6)
Example-Include
Set_Include (Example H7E10)
Example-Indexing
HMod_Indexing (Example H43E8)
KMod_Indexing (Example H41E6)
State_Indexing (Example H1E3)
Example-InLineConditional
State_InLineConditional (Example H1E11)
Example-Integers
RngInt_Integers (Example H24E2)
Example-Integral
FldRe_Integral (Example H37E7)
Example-Interactive
GrpPC_Interactive (Example H19E7)
Example-InteractiveUserAttributes
Func_InteractiveUserAttributes (Example H2E11)
Func_InteractiveUserAttributes (Example H2E12)
Example-Interpolate
RngMPol_Interpolate (Example H29E5)
Example-intrinsic
Func_intrinsic (Example H2E5)
Example-invar
Plane_invar (Example H57E6)
Example-Invariants
AlgMat_Invariants (Example H51E3)
Elcu_Invariants (Example H53E6)
GrpMat_Invariants (Example H21E4)
Example-InvariantsOfDegree
RngInvar_InvariantsOfDegree (Example H30E3)
RngInvar_InvariantsOfDegree (Example H30E4)
Example-IsGood
GrpPC_IsGood (Example H19E11)
Example-Isogeny
Elcu_Isogeny (Example H53E14)
Example-Isom
Lat_Isom (Example H45E19)
Example-Isomorphism
Elcu_Isomorphism (Example H53E15)
Example-IsomorphismClasses
Elcu_IsomorphismClasses (Example H53E8)
Example-IsOverSmallerField
GrpMat_IsOverSmallerField (Example H21E24)
Example-IsPrime
RngInt_IsPrime (Example H24E3)
Example-IsPrimitive
GrpMat_IsPrimitive (Example H21E18)
Example-IsSymmetric
RngMPol_IsSymmetric (Example H29E30)
Example-jacobson
AlgGrp_jacobson (Example H50E4)
Example-Join
Set_Join (Example H7E11)
Example-jordan
AlgCon_jordan (Example H47E1)
Example-Knapsack
Lat_Knapsack (Example H45E9)
Example-Kodaira
Elcu_Kodaira (Example H53E12)
Example-Labels
Graph_Labels (Example H55E7)
Graph_Labels (Example H55E9)
Example-LatticeCreate
Lat_LatticeCreate (Example H45E1)
Example-LatticeFunctions
Lat_LatticeFunctions (Example H45E4)
Example-LatticeOperations
Grp_LatticeOperations (Example H15E16)
Example-LatticeOps
RMod_LatticeOps (Example H42E22)
Example-Leech
Lat_Leech (Example H45E7)
Example-liealg
AlgAss_liealg (Example H48E1)
Example-LieAlgebra
AlgLie_LieAlgebra (Example H49E11)
Example-LinearTrans
KMod_LinearTrans (Example H41E13)
Example-LineCount
IO_LineCount (Example H3E9)
Example-Lix1
GrpFP_Lix1 (Example H16E38)
Example-Lix2
GrpFP_Lix2 (Example H16E39)
Example-Lix3
GrpFP_Lix3 (Example H16E40)
Example-Lix4
GrpFP_Lix4 (Example H16E41)
Example-LLLXGCD
Lat_LLLXGCD (Example H45E13)
Example-Map
Elcu_Map (Example H53E16)
Example-Map1
RngMPol_Map1 (Example H29E29)
Example-Matrices
GrpMat_Matrices (Example H21E2)
KMod_Matrices (Example H41E4)
Example-Matrix
HMod_Matrix (Example H43E6)
Example-MattsonSolomonTransform
Code_MattsonSolomonTransform (Example H58E19)
Example-Meataxe
RMod_Meataxe (Example H42E17)
Example-MinimalAlgebraGenerators
RngInvar_MinimalAlgebraGenerators (Example H30E13)
Example-MinimalPolynomial
RngMPol_MinimalPolynomial (Example H29E28)
Example-Minimals
RMod_Minimals (Example H42E19)
Example-Miscellaneous
Set_Miscellaneous (Example H7E7)
Example-Models
Elcu_Models (Example H53E4)
Example-Modular
GrpFP_Modular (Example H16E7)
Example-Module
RngInvar_Module (Example H30E9)
Example-Modules
Grp_Modules (Example H15E17)
Example-MolienSeries
RngInvar_MolienSeries (Example H30E5)
Example-Monoid
SgpFP_Monoid (Example H14E2)
Example-MordellWeil
Elcu_MordellWeil (Example H53E7)
Example-MultipleReturns
State_MultipleReturns (Example H1E2)
Example-MultiplicationTable
FldNum_MultiplicationTable (Example H36E10)
Example-Multiset
Set_Multiset (Example H7E4)
Example-MutationAssignment
State_MutationAssignment (Example H1E6)
Example-Neighbour
Lat_Neighbour (Example H45E20)
Lat_Neighbour (Example H45E6)
Example-NestedExists
Set_NestedExists (Example H7E13)
Example-NestedIteration
Seq_NestedIteration (Example H8E6)
Example-NonNilpotentElement
AlgLie_NonNilpotentElement (Example H49E10)
Example-norm-equation
FldQuad_norm-equation (Example H34E3)
RngInt_norm-equation (Example H24E7)
Example-NormsEtc
FldNum_NormsEtc (Example H36E13)
Example-numerator
FldRat_numerator (Example H26E3)
Example-OddGraph
EnumComb_OddGraph (Example H54E1)
Example-Operations
AlgLie_Operations (Example H49E3)
HMod_Operations (Example H43E7)
RMod_Operations (Example H42E15)
Example-OrbitActions
GrpPerm_OrbitActions (Example H20E14)
Example-Orbits
GrpMat_Orbits (Example H21E14)
Example-Order
Elcu_Order (Example H53E10)
GrpMat_Order (Example H21E12)
GrpPerm_Order (Example H20E10)
Grp_Order (Example H15E11)
RngMPol_Order (Example H29E3)
Example-OrderLattice
Lat_OrderLattice (Example H45E3)
Example-Orders
FldFunG_Orders (Example H32E2)
FldNum_Orders (Example H36E5)
Example-Orthogonalize
Lat_Orthogonalize (Example H45E15)
Example-Other
AlgLie_Other (Example H49E9)
Example-Parameters
Func_Parameters (Example H2E2)
Example-PartialFractionDecomposition
FldFun_PartialFractionDecomposition (Example H31E3)
Example-Partitions
EnumComb_Partitions (Example H54E2)
Example-Perfect
RngInt_Perfect (Example H24E6)
Example-PermutationActionD8
AlgFP_PermutationActionD8 (Example H52E3)
Example-PermutationCode
Code_PermutationCode (Example H58E3)
Example-Permutations
GrpPerm_Permutations (Example H20E2)
Example-PlayWithPoints
Elcu_PlayWithPoints (Example H53E11)
Example-points-blocks
Design_points-blocks (Example H56E2)
Example-points-lines
Plane_points-lines (Example H57E2)
Example-PolycyclicGroup
GrpPC_PolycyclicGroup (Example H19E1)
Example-Polynomials
RngPol_Polynomials (Example H28E2)
Example-PositiveDefiniteForm
Lat_PositiveDefiniteForm (Example H45E21)
Example-PowerGroup
GrpPC_PowerGroup (Example H19E8)
Example-PowerGroupTwo
GrpPC_PowerGroupTwo (Example H19E12)
Example-powering
AlgGrp_powering (Example H50E5)
Example-PowerSequence
Seq_PowerSequence (Example H8E2)
Example-PowerSet
Set_PowerSet (Example H7E6)
Example-pQuotient1
GrpFP_pQuotient1 (Example H16E27)
Example-pQuotient2
GrpFP_pQuotient2 (Example H16E28)
Example-pQuotient3
GrpFP_pQuotient3 (Example H16E29)
Example-pQuotient4
GrpFP_pQuotient4 (Example H16E30)
Example-pQuotient5
GrpFP_pQuotient5 (Example H16E31)
Example-pQuotient6
GrpFP_pQuotient6 (Example H16E32)
Example-pQuotient7
GrpFP_pQuotient7 (Example H16E33)
Example-pQuotient8
GrpFP_pQuotient8 (Example H16E34)
Example-Predicates
AlgLie_Predicates (Example H49E7)
Example-PrimaryDecomposition
RngMPol_PrimaryDecomposition (Example H29E23)
Example-PrimitiveStructure
GrpPerm_PrimitiveStructure (Example H20E18)
Example-printf
IO_printf (Example H3E4)
IO_printf (Example H3E6)
Example-printf2
IO_printf2 (Example H3E5)
Example-Procedures
Func_Procedures (Example H2E3)
Example-Products
AlgMat_Products (Example H51E5)
Example-Progression
Seq_Progression (Example H8E1)
Set_Progression (Example H7E5)
Example-pts-blks-ops
Design_pts-blks-ops (Example H56E8)
Example-QuadraticResidueCode
Code_QuadraticResidueCode (Example H58E11)
Example-quaternions
AlgGen_quaternions (Example H46E1)
Example-Quotient
AlgFP_Quotient (Example H52E4)
Graph_Quotient (Example H55E10)
GrpMat_Quotient (Example H21E8)
GrpPerm_Quotient (Example H20E6)
Grp_Quotient (Example H15E5)
Example-Quotients1
KMod_Quotients1 (Example H41E9)
Example-Quotients2
KMod_Quotients2 (Example H41E10)
Example-Quotients3
KMod_Quotients3 (Example H41E11)
Example-Radical
RngMPol_Radical (Example H29E22)
Example-Random
GrpMat_Random (Example H21E13)
Set_Random (Example H7E8)
Example-RandomSchreier
GrpPerm_RandomSchreier (Example H20E24)
Example-Read
IO_Read (Example H3E11)
Example-Record
Rec_Record (Example H12E2)
Example-RecordAccess
Rec_RecordAccess (Example H12E3)
Example-RecordFormat
Rec_RecordFormat (Example H12E1)
Example-Recursion
Func_Recursion (Example H2E1)
Example-Reduce
HMod_Reduce (Example H43E4)
Example-ReduceHom
HMod_ReduceHom (Example H43E5)
Example-Reduction
Set_Reduction (Example H7E14)
Example-ReedMullerCode
Code_ReedMullerCode (Example H58E5)
Example-Regexp
IO_Regexp (Example H3E3)
Example-related
Design_related (Example H56E3)
Example-RelationIdeal
RngMPol_RelationIdeal (Example H29E19)
Example-Relations
GrpAb_Relations (Example H18E2)
GrpFP_Relations (Example H16E2)
RngInvar_Relations (Example H30E10)
Example-repeat
State_repeat (Example H1E14)
Example-Replace
GrpFP_Replace (Example H16E9)
Example-Represent
FldQuad_Represent (Example H34E5)
Example-RepUnits
RngInt_RepUnits (Example H24E5)
Example-require
Func_require (Example H2E7)
Example-RestrictedPartitions
EnumComb_RestrictedPartitions (Example H54E3)
Example-Rewrite
GrpFP_Rewrite (Example H16E35)
Example-Roots
FldRe_Roots (Example H37E5)
Example-RootsNonExact
FldRe_RootsNonExact (Example H37E6)
Example-RootSystem
AlgLie_RootSystem (Example H49E2)
Example-Round2
FldNum_Round2 (Example H36E6)
Example-RowOps
HMod_RowOps (Example H43E9)
Example-Rowops
KMod_Rowops (Example H41E14)
Example-RungeKutta2
RngMPol_RungeKutta2 (Example H29E11)
Example-SecondaryInvariants
RngInvar_SecondaryInvariants (Example H30E7)
Example-Self
Seq_Self (Example H8E5)
Example-Semilinearity
GrpMat_Semilinearity (Example H21E19)
Example-SemiSimpleType
AlgLie_SemiSimpleType (Example H49E8)
Example-Series
AlgLie_Series (Example H49E5)
GrpMat_Series (Example H21E17)
GrpPerm_Series (Example H20E17)
Example-Set
GrpPC_Set (Example H19E3)
Example-SetOperations
GrpPerm_SetOperations (Example H20E11)
Grp_SetOperations (Example H15E12)
Example-Seysen
Lat_Seysen (Example H45E14)
Example-SimpleLieAlgebra
AlgLie_SimpleLieAlgebra (Example H49E1)
Example-SingularElements
Lat_SingularElements (Example H45E10)
Example-spec
Func_spec (Example H2E8)
Example-Split
IO_Split (Example H3E2)
Example-Sprintf
IO_Sprintf (Example H3E8)
Example-Stabilizers
GrpPerm_Stabilizers (Example H20E12)
Example-Standard
GrpPC_Standard (Example H19E2)
Example-StandardForm
Code_StandardForm (Example H58E14)
Example-StandardGroups
GrpPerm_StandardGroups (Example H20E7)
Grp_StandardGroups (Example H15E6)
Example-StandardPresentation
GrpPC_StandardPresentation (Example H19E6)
Example-Startup
Env_Startup (Example H4E1)
Example-startup-spec
Func_startup-spec (Example H2E9)
Example-SteenrodOperation
RngInvar_SteenrodOperation (Example H30E12)
Example-Strings
IO_Strings (Example H3E1)
Example-sub
Plane_sub (Example H57E4)
Plane_sub (Example H57E5)
Example-SubAlgebra
AlgMat_SubAlgebra (Example H51E4)
Example-Subgroup
Grp_Subgroup (Example H15E4)
Example-SubgroupConstructions
GrpPerm_SubgroupConstructions (Example H20E16)
Example-SubgroupOps
GrpFP_SubgroupOps (Example H16E19)
Example-Subgroups
GrpMat_Subgroups (Example H21E7)
Grp_Subgroups (Example H15E14)
Example-Subgroups1
GrpFP_Subgroups1 (Example H16E14)
Example-Subgroups2
GrpFP_Subgroups2 (Example H16E15)
Example-Sublattices
Lat_Sublattices (Example H45E22)
Example-Submodule
RMod_Submodule (Example H42E16)
Example-SubQuo
PMod_SubQuo (Example H44E3)
Example-Subspace1
KMod_Subspace1 (Example H41E7)
Example-Subspace2
KMod_Subspace2 (Example H41E8)
Example-SubSuperQuo
Lat_SubSuperQuo (Example H45E5)
Example-supp
Plane_supp (Example H57E3)
Example-Suzuki
GrpMat_Suzuki (Example H21E10)
Example-Sym
GrpPerm_Sym (Example H20E1)
Example-Sym8
GrpFP_Sym8 (Example H16E10)
Example-Symmetric1
GrpFP_Symmetric1 (Example H16E3)
Example-Symmetric2
GrpFP_Symmetric2 (Example H16E4)
Example-SymmetricTensor
GrpMat_SymmetricTensor (Example H21E23)
Example-Symplectic
GrpMat_Symplectic (Example H21E9)
Example-SystemAttributes
Func_SystemAttributes (Example H2E10)
Example-SyzygyModule
RngMPol_SyzygyModule (Example H29E27)
Example-Tensor
GrpMat_Tensor (Example H21E20)
Example-TernaryGolayCode
Code_TernaryGolayCode (Example H58E1)
Example-Tetrahedral
GrpFP_Tetrahedral (Example H16E5)
Example-ThetaSeries
Lat_ThetaSeries (Example H45E11)
Example-ThreeInvols
GrpFP_ThreeInvols (Example H16E6)
Example-Time
State_Time (Example H1E17)
Example-ToddCoxeter
GrpFP_ToddCoxeter (Example H16E21)
Example-Trace
Elcu_Trace (Example H53E13)
Example-trans
Plane_trans (Example H57E16)
Example-Transitive
GrpPerm_Transitive (Example H20E21)
Example-TransitiveProcess
GrpPerm_TransitiveProcess (Example H20E22)
Example-Trinomials
RngMPol_Trinomials (Example H29E6)
Example-Tuple
Tup_Tuple (Example H9E2)
Example-TupleAccess
Tup_TupleAccess (Example H9E3)
Example-TutteCage
Graph_TutteCage (Example H55E2)
Example-unital
Plane_unital (Example H57E11)
Example-UnitGroup
FldNum_UnitGroup (Example H36E11)
Example-Universe
Set_Universe (Example H7E1)
Example-Vandermonde
RngMPol_Vandermonde (Example H29E7)
Example-Variety
RngMPol_Variety (Example H29E16)
Example-Various
State_Various (Example H1E16)
Example-Vectors
KMod_Vectors (Example H41E3)
Example-VectorSpace
FldFin_VectorSpace (Example H27E2)
Example-Voronoi
Lat_Voronoi (Example H45E12)
Example-wedderburn
AlgGrp_wedderburn (Example H50E3)
Example-WeightDistribution
Code_WeightDistribution (Example H58E16)
Example-WeightEnumerator
Code_WeightEnumerator (Example H58E17)
Example-where
State_where (Example H1E9)
Example-while
State_while (Example H1E13)
Example-wittex
Design_wittex (Example H56E4)
Example-WordOps
GrpFP_WordOps (Example H16E13)
Example-Words
Code_Words (Example H58E15)
Example-WriteOverSmallerField
GrpMat_WriteOverSmallerField (Example H21E25)
Example-ZRadical
RngMPol_ZRadical (Example H29E18)
examples
Examples (FUNCTIONS, PROCEDURES AND PACKAGES)
ExceptionalUnitOrbit
ExceptionalUnitOrbit(u) : RngOrdElt -> [ RngOrdElt ]
ExceptionalUnits
ExceptionalUnits(O) : RngOrd -> [ RngOrdElt ]
Exclude
Exclude(~S, x) : SeqEnum, Elt ->
Exclude(~S, x) : SetEnum, Elt ->
ExcludedConjugates
ExcludedConjugates(V) : GrpFPCos -> { GrpFPElt }
GrpFP_ExcludedConjugates (Example H16E23)
Exists
Set_Exists (Example H7E12)
exists
exists(t){ e(x): x in E | P(x) }
ExistsConwayPolynomial
ExistsConwayPolynomial(p, n) : RngIntElt, RngIntElt -> BoolElt, RngUPolElt
exit
Control-C key (OVERVIEW)
Quitting (OVERVIEW)
Exp
Exp(f) : FldLocElt -> RngIntElt
Exp(s) : FldPrElt -> FldPrElt
Exp(f) : RngSerElt -> RngSerElt
ExplicitCoset
ExplicitCoset(V, i) : GrpFPCos, RngIntElt -> GrpFPCosElt
Explode
Explode(R) : SeqEnum -> List
Explode(T) : Tup -> List
Exponent
Exponent(G) : GrpAb -> RngIntElt
Exponent(G) : GrpFin -> RngIntElt
Exponent(G) : GrpMat -> RngIntElt
Exponent(G) : GrpPC -> RngIntElt
Exponent(G) : GrpPerm -> RngIntElt
exponential
Exponential, Logarithmic and Polylogarithmic Functions (REAL AND COMPLEX FIELDS)
ExponentialIntegral
ExponentialIntegral(r) : FldReElt -> FldReElt
exponentiation
Operators (OVERVIEW)
ExponentLaw
ExponentLaw(~P : parameters) : Proc(pQuot) ->
ExponentSum
ExponentSum(u, x) : GrpFPElt, GrpFPElt -> RngIntElt
expression
Expression (OVERVIEW)
Function Expressions (MAGMA SEMANTICS)
Function Expressions (OVERVIEW)
Procedure Expressions (MAGMA SEMANTICS)
Procedure Expressions (OVERVIEW)
The Case Expression (STATEMENTS AND EXPRESSIONS)
The Simple Conditional Expression (STATEMENTS AND EXPRESSIONS)
expressions
STATEMENTS AND EXPRESSIONS
ExpurgateCode
ExpurgateCode(C) : Code -> Code
ext
Constructor (OVERVIEW)
ext<F | n> : FldFin, RngIntElt -> FldFin, Map
ext< Q | f > : FldRat, RngUPolElt -> FldNum
ext< L | S > : Lat, List -> Lat
ext< R | > : Rng -> RngUPol
ext< O | a_1, ..., a_r > : RngOrd, RngOrdElt, ..., RngOrdElt -> RngOrd
ExtendBasis
ExtendBasis(S, A) : AlgGen, AlgGen -> [ AlgElt ]
ExtendBasis(Q, U) : [ModTupFldElt], ModTupFld -> [ModTupFldElt]
ExtendBasis(Q, M) : [ModTupRngElt], ModTupRng -> [ModTupRngElt]
ExtendCode
ExtendCode(C) : Code -> Code
ExtendedGreatestCommonDivisor
ExtendedGreatestCommonDivisor(m, n) : RngIntElt, RngIntElt -> RngIntElt, RngIntElt, RngIntElt
ExtendedGreatestCommonDivisor(f, g) : RngUPolElt, RngUPolElt -> RngUPolElt, RngUPolElt, RngUPolElt
ExtendedGreatestCommonDivisor(v, w) : RngValElt, RngValElt -> RngValElt, RngValElt, RngValElt
ExtendField
ExtendField(C, L) : Code, FldFin -> Code, Map
ExtendField(G, L) : GrpMat, FldFin -> GrpMat, Map
ExtendField(V, L) : ModTupFld, Fld -> ModTupFld, MapHom
ExtendField(V, L) : ModTupFld, Fld -> ModTupFld, MapHom
ExtendPresentation
ExtendPresentation(~P, k): StdPresP, RngIntElt ->
Extension
Extension(G, H, f) : GrpPC, GrpPC, [Map] -> GrpPC
Extension(P, Q) : Process -> GrpFinFP
Extension(P, Q) : Process -> GrpFP
Extension(I, U) : RngMPol, [ RngIntElt ] -> RngMPol, Map
LiftCharacter(x, f, G) : AlgChtrElt, MapHom, Grp -> AlgChtrElt
LiftCharacters(T, f, G) : AlgChtrElt, MapHom, Grp -> AlgChtrElt
extension
Construction of Extensions (FINITELY PRESENTED GROUPS)
Construction of Extensions (GROUPS)
Construction of Extensions (MATRIX GROUPS)
Construction of Extensions (PERMUTATION GROUPS)
Construction of Extensions (SOLUBLE GROUPS)
Constructor (OVERVIEW)
Extension and Contraction of Ideals (MULTIVARIATE POLYNOMIAL RINGS)
Extensions (FINITELY PRESENTED SEMIGROUPS)
Ground Field and Relationships (FINITE FIELDS)
Induction, Restriction, Extension (CHARACTERS OF FINITE GROUPS)
Standard Constructions for General Modules (GENERAL MODULES)
Standard Groups and Extensions (FINITELY PRESENTED GROUPS)
Standard Groups and Extensions (GROUPS)
Standard Groups and Extensions (PERMUTATION GROUPS)
Subgroups, Quotient Groups and Extensions (SOLUBLE GROUPS)
The Construction of Extensions and their Elements (MATRIX ALGEBRAS)
Transcendental Extension (INTRODUCTION [RINGS AND FIELDS])
Variable Extension of Ideals (MULTIVARIATE POLYNOMIAL RINGS)
extension-contraction
Extension and Contraction of Ideals (MULTIVARIATE POLYNOMIAL RINGS)
extension-standard-group
Standard Groups and Extensions (FINITELY PRESENTED GROUPS)
Standard Groups and Extensions (GROUPS)
Standard Groups and Extensions (PERMUTATION GROUPS)
ExtensionField
ExtensionField<F, x | P> : FldFin, RngIntElt -> FldFin, Map
ExtensionProcess
ExtensionProcess(G, M, F) : GrpFin, ModRng, GrpFinFP -> Process
ExtensionProcess(G, M, F) : GrpPerm, ModRng, GrpFP -> Process
Extensions
FldFin_Extensions (Example H27E1)
GrpPerm_Extensions (Example H20E8)
Grp_Extensions (Example H15E7)
Exterior
Exterior(P, C) : Plane, { PlanePt } -> { PlanePt }
ExteriorSquare
ExteriorSquare(a) : AlgMat -> AlgMatElt
ExteriorSquare(L) : Lat -> Lat
ExteriorSquare(M) : ModTupRng -> ModTupRng
ExternalLines
ExternalLines(P, A) : Plane, { PlanePt } -> { PlaneLn }
extra
Addition of extra generators (BLACKBOX GROUPS)
extra-generators
Addition of extra generators (BLACKBOX GROUPS)
ExtractAutomorphisms
ExtractAutomorphisms(P) : Process(pgaProc) -> [Mat]
ExtractAutomorphisms(P) : StdPresP -> [Map]
ExtractBlock
Submatrix(a, i, j, p, q) : AlgMatElt, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> ModMatRngElt
Submatrix(a, i, j, p, q) : ModMatRngElt, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> ModMatRngElt
ExtractGenerators
ExtractGenerators(P) : Process(Lix) -> { GrpFPElt }
ExtractGroup
ExtractGroup(P) : Process(Lix) -> GrpFP
ExtractGroup(P) : Process(pgaProc) -> GrpPC
ExtractGroup(P) : Process(pQuot) -> GrpPC
ExtractGroup(P) : Process(Tietze) -> GrpFP
ExtractGroup(P) : StdPresP -> GrpPC
ExtractMapping
ExtractMapping(P) : StdPresP -> Map
ExtractRep
ExtractRep(~R, ~r) : SetEnum, Elt ->
Set_ExtractRep (Example H7E9)
ExtraSpecial
GrpMat_ExtraSpecial (Example H21E22)
ExtraSpecialGroup
ExtraSpecialGroup(C, p, n) : Cat, RngIntElt, RngIntElt -> GrpFin
ExtraSpecialGroup(GrpPC, p, n) : Cat, RngIntElt, RngIntElt -> GrpPC
ExtraSpecialGroup(GrpPerm, p, n) : Cat, RngIntElt, RngIntElt -> GrpPC
ExtraSpecialGroup (G) : GrpMat -> GrpMat
ExtraSpecialParameters
ExtraSpecialParameters(G) : GrpMat -> [RngIntElt, RngIntElt]
[____] [____] [_____] [____] [__] [Index] [Root]