Documentation

upper
- The Upper Half Plane (CONGRUENCE SUBGROUPS OF PSL₂(R))
Upper-half-plane-example
- GrpPSL2_Upper-half-plane-example (Example H139E7)
upper-plane
- The Upper Half Plane (CONGRUENCE SUBGROUPS OF PSL₂(R))
Upper0
- GammaUpper0(N) : RngIntElt -> GrpPSL2
Upper1
- GammaUpper1(N) : RngIntElt -> GrpPSL2
UpperCentralSeries
- UpperCentralSeries(L) : AlgLie -> [ AlgLie ]
- UpperCentralSeries(G) : GrpAb -> [ GrpAb ]
- UpperCentralSeries(G) : GrpFin -> [ GrpFin ]
- UpperCentralSeries(G) : GrpGPC -> [GrpGPC]
- UpperCentralSeries(G) : GrpMat -> [ GrpMat ]
- UpperCentralSeries(G) : GrpPC -> [GrpPC]
- UpperCentralSeries(G) : GrpPerm -> [ GrpPerm ]
UpperHalfPlane
- UpperHalfPlane() : -> SpcHyp
UpperTriangularMatrix
- UpperTriangularMatrix(R, Q) : Rng, [ RngElt ] -> Mtrx
- UpperTriangularMatrix(Q) : [ RngElt ] -> Mtrx
ups
- Resolution of Singularities (ALGEBRAIC CURVES)
Usage
- GetMaximumMemoryUsage() : -> RngIntElt
- GetMemoryUsage() : -> RngIntElt
- ResetMaximumMemoryUsage() : ->
- ShowMemoryUsage() : ->
usage
- Advanced Usage (FINITELY PRESENTED GROUPS)
- Basic Usage (FINITELY PRESENTED GROUPS)
- Basic Usage (PARALLELISM)
- Intermediate Usage (FINITELY PRESENTED GROUPS)
Use
- ClassGroupSetUseMemory(O, f) : RngOrd, BoolElt ->
- ClassGroupGetUseMemory(O) : RngOrd -> BoolElt
- GetHelpUseExternal() : -> BoolElt, BoolElt
- GetUseMontes(t) : Cat -> BoolElt
- GetUseMontes(t) : Cat -> BoolElt
- SetHelpUseExternalBrowser(b) : BoolElt ->
- SetHelpUseExternalSystem(b) : BoolElt ->
- SetUseMontes(f) : BoolElt ->
- SetUseMontes(f) : BoolElt ->
- UseTwistedHopfStructure(U, f, g) : AlgQUE, Map, Map ->
use
- Searching the K3 Database (HILBERT SERIES OF POLARISED VARIETIES)
- The `first use' Rule (MAGMA SEMANTICS)
- The `single use' Rule (MAGMA SEMANTICS)
User
- CompositionTreeNiceToUser(G) : Grp -> Map, []
- UserGenerators(A) : GrpAbGen -> [ GrpAbGenElt ]
- UserRepresentation(g) : GrpAbGenElt -> [RngIntElt]
user
- User-defined Attributes (FUNCTIONS, PROCEDURES AND PACKAGES)
- User-Implemented Distributed Parallelism (PARALLELISM)
USER_
- MAGMA_USER_SPEC
UserGenerators
- UserGenerators(A) : GrpAbGen -> [ GrpAbGenElt ]
UserRepresentation
- UserRepresentation(g) : GrpAbGenElt -> [RngIntElt]
UserTypes2
- Func_UserTypes2 (Example H2E18)
Uses
- UsesBrandt(M) : ModSS -> BoolElt
- UsesMestre(M) : ModSS -> BoolElt
UsesBrandt
- UsesBrandt(M) : ModSS -> BoolElt
UsesMestre
- UsesMestre(M) : ModSS -> BoolElt
UseTwistedHopfStructure
- UseTwistedHopfStructure(U, f, g) : AlgQUE, Map, Map ->
Using
- DecomposeUsing(R) : HomModAbVar -> SeqEnum
- DecomposeUsing(phi) : MapModAbVar -> SeqEnum
using
- The Dehn Algorithm (AUTOMATIC AND HYPERBOLIC GROUPS)
- Two Descent Using Isogenies (ELLIPTIC CURVES OVER Q AND NUMBER FIELDS)
- Using Regular Models (ALGEBRAIC CURVES)
- Using the Debugger (DEBUGGING MAGMA CODE)
using-debugger
- Using the Debugger (DEBUGGING MAGMA CODE)
using-dehn
- The Dehn Algorithm (AUTOMATIC AND HYPERBOLIC GROUPS)
using-regular-models
- Using Regular Models (ALGEBRAIC CURVES)
utility
- pParts(H) : HypGeomMot -> List
- Utility Functions (HYPERGEOMETRIC MOTIVES)
utils
- Lattice Enumeration Utilities (LATTICES)

V2.28, 28 February 2025

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

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