Documentation

AreGenerators
- AreGenerators(S) : SetEnum -> BoolElt
AreGLConjugate
- AreGLConjugate(A, B : parameters) : AlgMatElt, AlgMatElt -> BoolElt, AlgMatElt
AreIdentical
- AreIdentical(u, v: parameters) : GrpBrdElt, GrpBrdElt -> BoolElt
AreInvolutionsConjugate
- AreInvolutionsConjugate(G, x, wx, y, wy : parameters) : GrpMat,GrpMatElt, GrpSLPElt, GrpMatElt, GrpSLPElt -> BoolElt, GrpMatElt, GrpSLPElt
AreLinearlyEquivalent
- AreLinearlyEquivalent(D,E) : DivCrvElt, DivCrvElt -> BoolElt
- AreLinearlyEquivalent(D,E) : DivTorElt,DivTorElt -> BoolElt
AreProportional
- AreProportional(P,Q) : TorLatElt,TorLatElt -> BoolElt, FldRatElt
Arf
- ArfInvariant(V) : ModTupFld -> RngIntElt
ArfInvariant
- ArfInvariant(V) : ModTupFld -> RngIntElt
Arg
- Arg(c) : FldComElt -> FldReElt
- Argument(c) : FldComElt -> FldReElt
Argcosech
- Argcosech(s) : FldReElt -> FldReElt
Argcosh
- Argcosh(r) : FldReElt -> FldReElt
- Argcosh(f) : RngSerElt -> RngSerElt
- Argcosh(f) : RngSerElt -> RngSerElt
Argcoth
- Argcoth(s) : FldReElt -> FldReElt
Argsech
- Argsech(s) : FldReElt -> FldReElt
Argsinh
- Argsinh(r) : FldReElt -> FldReElt
- Argsinh(f) : RngSerElt -> RngSerElt
- Argsinh(f) : RngSerElt -> RngSerElt
Argtanh
- Argtanh(s) : FldReElt -> FldReElt
- Argtanh(f) : RngSerElt -> RngSerElt
- Argtanh(f) : RngSerElt -> RngSerElt
Argument
- Arg(c) : FldComElt -> FldReElt
- Argument(c) : FldComElt -> FldReElt
- Argument(z) : SpcHydElt -> FldReElt
argument
- Reference Arguments (MAGMA SEMANTICS)
Arguments
- GetScriptArguments() : -> SeqEnum
arith
- Arithmetic (ALGEBRAIC POWER SERIES RINGS)
- Arithmetic (GENERAL p-ADIC EXTENSIONS)
- Arithmetic (LATTICES OVER NUMBER FIELDS)
- Arithmetic of Divisors (SCHEMES)
- Arithmetic of Points (HYPERELLIPTIC CURVES)
- Arithmetic Operators (ALGEBRAIC FUNCTION FIELDS)
- Arithmetic with Divisors in OM representation (ALGEBRAIC FUNCTION FIELDS)
- Arithmetic with Elements (MODULES OVER DEDEKIND DOMAINS)
- Arithmetic with Lazy Series (LAZY POWER SERIES RINGS)
- Arithmetic with Modules (MODULES OVER DEDEKIND DOMAINS)
- Arithmetic with Places and Divisors (NUMBER FIELDS AND ORDERS)
- Arithmetic with Places and Divisors (NUMBER FIELDS)
- Curves over Global Fields (ALGEBRAIC CURVES)
- Ideal Arithmetic (ALGEBRAIC FUNCTION FIELDS)
- Ideal Arithmetic (NUMBER FIELDS AND ORDERS)
- Minimal Degree Functions and Plane Models (ALGEBRAIC CURVES)
- Modular Degree and Torsion (MODULAR SYMBOLS)
- RngPowAlg_arith (Example H53E3)
arith-points-kummer
- Arithmetic of Points (HYPERELLIPTIC CURVES)
arithabvar
- Arithmetic of Abelian Varieties (MODULAR ABELIAN VARIETIES)
Arithabvar-Intersections
- ModAbVar_Arithabvar-Intersections (Example H148E80)
Arithabvar-Intersections2
- ModAbVar_Arithabvar-Intersections2 (Example H148E81)
Arithabvar-Quotients
- ModAbVar_Arithabvar-Quotients (Example H148E82)
Arithmetic
- ArithmeticGenus(C) : Crv -> RngIntElt
- ArithmeticGenus(dsd,i) : DesingData,RngIntElt -> RngIntElt
- ArithmeticGenus(X) : Sch -> RngIntElt
- ArithmeticGenus(S) : Srfc -> RngIntElt
- ArithmeticGenusOfDesingularization(S) : Srfc -> RngIntElt
- ArithmeticGeometricMean(x, y) : FldReElt, FldReElt -> FldReElt
- ArithmeticGeometricMean(x, y) : RngSerElt, RngSerElt -> RngSerElt
- ArithmeticRadical(O, p) : AlgAssVOrd[RngOrd], RngOrdIdl -> AlgAssVOrdIdl
- ArithmeticTriangleGroup(p,q,r) : RngIntElt, RngIntElt, RngIntElt -> GrpPSL2, Rng
- ArithmeticVolume(G) : GrpPSL2 -> FldRatElt
- ArithmeticVolume(P) : [SpcHydElt] -> FldReElt
- GenusViaArithmeticGenus(C) : Crv -> RngIntElt
- GrpAtc_Arithmetic (Example H84E8)
- GrpBrd_Arithmetic (Example H82E4)
- GrpMatGen_Arithmetic (Example H66E7)
- GrpPerm_Arithmetic (Example H65E9)
- GrpRWS_Arithmetic (Example H83E8)
- Grp_Arithmetic (Example H64E3)
- ModFld_Arithmetic (Example H29E5)
- ModFrm_Arithmetic (Example H144E9)
- ModSS_Arithmetic (Example H147E7)
- MonRWS_Arithmetic (Example H87E10)
arithmetic
- Additive Arithmetic Operators (SYMMETRIC FUNCTIONS)
- Arithmetic (ARTIN REPRESENTATIONS)
- Arithmetic (BINARY QUADRATIC FORMS)
- Arithmetic (CHARACTERS OF FINITE GROUPS)
- Arithmetic (CHARACTERS OF FINITE GROUPS)
- Arithmetic (CONGRUENCE SUBGROUPS OF PSL₂(R))
- Arithmetic (DIFFERENTIAL RINGS)
- Arithmetic (DIFFERENTIAL RINGS)
- Arithmetic (ELLIPTIC CURVES)
- Arithmetic (FREE MODULES)
- Arithmetic (INTEGER RESIDUE CLASS RINGS)
- Arithmetic (LOCAL GALOIS REPRESENTATIONS)
- Arithmetic (MATRIX ALGEBRAS)
- Arithmetic (MODULAR FORMS)
- Arithmetic (MODULES OVER MULTIVARIATE RINGS)
- Arithmetic (p-ADIC RINGS AND THEIR EXTENSIONS)
- Arithmetic (p-ADIC RINGS AND THEIR EXTENSIONS)
- Arithmetic (RATIONAL FUNCTION FIELDS)
- Arithmetic (REAL AND COMPLEX FIELDS)
- Arithmetic (RING OF INTEGERS)
- Arithmetic (RING OF INTEGERS)
- Arithmetic (SUPERSINGULAR DIVISORS ON MODULAR CURVES)
- Arithmetic Functions (RING OF INTEGERS)
- Arithmetic of Divisors (ALGEBRAIC CURVES)
- Arithmetic Operations (INTRODUCTION TO RINGS [BASIC RINGS])
- Arithmetic Operations (RING OF INTEGERS)
- Arithmetic Operations (RING OF INTEGERS)
- Arithmetic Operations (VALUATION RINGS)
- Arithmetic Operations on Elements (FINITE SOLUBLE GROUPS)
- Arithmetic Operations on Elements (POLYCYCLIC GROUPS)
- Arithmetic Operations on Ideals (INTRODUCTION TO RINGS [BASIC RINGS])
- Arithmetic Operations on Polyhedra (CONVEX POLYTOPES AND POLYHEDRA)
- Arithmetic Operators (ALGEBRAIC FUNCTION FIELDS)
- Arithmetic Operators (ALGEBRAIC FUNCTION FIELDS)
- Arithmetic Operators (ALGEBRAIC FUNCTION FIELDS)
- Arithmetic Operators (ALGEBRAIC FUNCTION FIELDS)
- Arithmetic Operators (ALGEBRAICALLY CLOSED FIELDS)
- Arithmetic Operators (FINITE FIELDS)
- Arithmetic Operators (FINITELY PRESENTED ALGEBRAS)
- Arithmetic Operators (GALOIS RINGS)
- Arithmetic Operators (INTEGER RESIDUE CLASS RINGS)
- Arithmetic Operators (MULTIVARIATE POLYNOMIAL RINGS)
- Arithmetic Operators (POWER, LAURENT AND PUISEUX SERIES)
- Arithmetic Operators (RATIONAL FIELD)
- Arithmetic Operators (UNIVARIATE POLYNOMIAL RINGS)
- Arithmetic Operators and Functions for Elements (BRAID GROUPS)
- Arithmetic Operators for Words (FREE GROUPS)
- Arithmetic with Elements (GROUPS)
- Arithmetic with Elements (p-ADIC RINGS AND THEIR EXTENSIONS)
- Arithmetic with L-series (L-FUNCTIONS)
- Arithmetic with Matrices (MATRIX GROUPS OVER GENERAL RINGS)
- Arithmetic with Permutations (PERMUTATION GROUPS)
- Arithmetic with Vectors (VECTOR SPACES)
- Arithmetic with Words (GROUPS DEFINED BY REWRITE SYSTEMS)
- Arithmetic with Words (MONOIDS GIVEN BY REWRITE SYSTEMS)
- Basic Operations (REPRESENTATIONS OF LIE GROUPS AND ALGEBRAS)
- Creation of Vector Spaces and Arithmetic with Vectors (VECTOR SPACES)
- Element Operations (GROUPS DEFINED BY REWRITE SYSTEMS)
- Elementary Arithmetic (MATRICES)
- Elementary Arithmetic (SPARSE MATRICES)
- Elementary Operations (BASIC ALGEBRAS)
- Elementary Operations (BASIC ALGEBRAS)
- Elementary Operations (CHAIN COMPLEXES)
- Elementary Operations (CHAIN COMPLEXES)
- Ideal Arithmetic (NUMBER FIELDS AND ORDERS)
- Ideal Arithmetic (UNIVARIATE POLYNOMIAL RINGS)
- Multiplication and Exponentiation (FINITELY PRESENTED SEMIGROUPS)
- Nearfield Arithmetic (NEARFIELDS)
- Operations on Elements (AUTOMATIC AND HYPERBOLIC GROUPS)
- The Arithmetic Progression Constructors (SEQUENCES)
- The Arithmetic Progression Constructors (SETS)

V2.29, 21 October 2025

Magma is maintained and distributed by the Computational Algebra Group, School of Mathematics and Statistics, University of Sydney.