Documentation

NextGraph
- NextGraph(I: parameters) : IO -> BoolElt, GrphUnd
NextPrime
- NextPrime(n) : RngIntElt -> RngIntElt
NextSimpleQuotient
- NextSimpleQuotient(~P) : Rec ->
NextSubgroup
- NextSubgroup(~P) : GrpFPLixProc ->
NextVector
- NextVector(P) : LatEnumProc -> LatElt, RngElt
NF
- DirichletCharacterOverQ(chi) : GrpDrchNFElt -> GrpDrchElt
- DirichletCharacterOverNF(chi) : GrpDrchElt -> GrpDrchNFElt
nf
- Access Functions (LATTICES OVER NUMBER FIELDS)
- Arithmetic (LATTICES OVER NUMBER FIELDS)
- Creation (LATTICES OVER NUMBER FIELDS)
- LATTICES OVER NUMBER FIELDS
- Parent and Element Relations (LATTICES OVER NUMBER FIELDS)
- Totally Positive Definite Lattices (LATTICES OVER NUMBER FIELDS)
nf-elt-access
- Access Functions (LATTICES OVER NUMBER FIELDS)
nf-elt-arith
- Arithmetic (LATTICES OVER NUMBER FIELDS)
nf-elt-create
- Creation (LATTICES OVER NUMBER FIELDS)
nf-elt-parent
- Parent and Element Relations (LATTICES OVER NUMBER FIELDS)
nf-lat-sqrt5
- LatNF_nf-lat-sqrt5 (Example H32E6)
nf-second-ex
- LatNF_nf-second-ex (Example H32E5)
nf-sig-FrobeniusElement
- RngOrdGal_nf-sig-FrobeniusElement (Example H40E3)
nf-tpd
- Totally Positive Definite Lattices (LATTICES OVER NUMBER FIELDS)
NFaces
- NumberOfFaces(G) : GrphMultUnd -> RngIntElt
- NFaces(G) : GrphMultUnd -> RngIntElt
- NFaces(G) : GrphUnd -> RngIntElt
nflat-maass
- LatNF_nflat-maass (Example H32E8)
nflat-notsimple
- LatNF_nflat-notsimple (Example H32E7)
nflatelt-ex
- LatNF_nflatelt-ex (Example H32E3)
NForm
- E2NForm(CN,N) : Crv, RngIntElt -> DiffCrvElt
NFS
- NFS(n, F, m1, m2) : RngIntElt, RngMPolElt, RngIntElt, RngIntElt -> RngIntElt
- NumberFieldSieve(n, F, m1, m2) : RngIntElt, RngMPolElt, RngIntElt, RngIntElt -> RngIntElt
nfs
- Advanced Factorization Techniques: The Number Field Sieve (RING OF INTEGERS)
- Attribute Selection (RING OF INTEGERS)
- Data Files (RING OF INTEGERS)
- Distributing NFS Factorizations (RING OF INTEGERS)
- Factoring with NFS Processes (RING OF INTEGERS)
- Finding Dependencies: the Linear Algebra Stage (RING OF INTEGERS)
- Magma and CWI NFS Interoperability (RING OF INTEGERS)
- Magma Native NFS Data Files (RING OF INTEGERS)
- Naive NFS (RING OF INTEGERS)
- The Auxiliary Data Stage (RING OF INTEGERS)
- The Factorization Stage (RING OF INTEGERS)
- The Magma Number Field Sieve Implementation (RING OF INTEGERS)
- The Sieving Stage (RING OF INTEGERS)
nfs-auxiliary-data-stage
- The Auxiliary Data Stage (RING OF INTEGERS)
nfs-cwi-tools
- Magma and CWI NFS Interoperability (RING OF INTEGERS)
nfs-data-files-formats
- Data Files (RING OF INTEGERS)
nfs-dependency-stage
- Finding Dependencies: the Linear Algebra Stage (RING OF INTEGERS)
nfs-distributed
- Distributing NFS Factorizations (RING OF INTEGERS)
nfs-factorization-stage
- The Factorization Stage (RING OF INTEGERS)
nfs-implementation
- The Magma Number Field Sieve Implementation (RING OF INTEGERS)
nfs-magma-native
- Magma Native NFS Data Files (RING OF INTEGERS)
nfs-naive
- NFS(n, F, m1, m2) : RngIntElt, RngMPolElt, RngIntElt, RngIntElt -> RngIntElt
- Naive NFS (RING OF INTEGERS)
nfs-parameter-selection
- Attribute Selection (RING OF INTEGERS)
nfs-process
- Factoring with NFS Processes (RING OF INTEGERS)
nfs-sieving-stage
- The Sieving Stage (RING OF INTEGERS)
nfspoly
- Tools for Finding a Suitable Polynomial (RING OF INTEGERS)
NFSProcess
- NFSProcess(n, F, m1, m2) : RngIntElt, RngMPolElt, RngIntElt, RngIntElt -> NFSProc
nfsprocessparameters
- RngInt_nfsprocessparameters (Example H19E10)
Ngens
- Ngens(H) : HomModAbVar -> RngIntElt
- Ngens(G) : ModAbVarSubGrp -> RngIntElt
- Ngens(M) : ModDed -> RngIntElt
- Ngens(R) : RngDiff -> RngIntElt
- NumberOfActionGenerators(M) : ModRng -> RngIntElt
- NumberOfGenerators(B) : AlgBas -> RngIntElt
- NumberOfGenerators(L) : AlgLieExtr -> RngIntElt
- NumberOfGenerators(R) : AlgMat -> { AlgMatElt }
- NumberOfGenerators(C) : Code -> RngIntElt
- NumberOfGenerators(G) : Grp -> RngIntElt
- NumberOfGenerators(A) : GrpAb -> RngIntElt
- NumberOfGenerators(A) : GrpAbGen -> RngIntElt
- NumberOfGenerators(A) : GrpAutCrv -> RngIntElt
- NumberOfGenerators(A) : GrpAuto -> RngIntElt
- NumberOfGenerators(G) : GrpBB -> RngIntElt
- NumberOfGenerators(B) : GrpBrd -> RngIntElt
- NumberOfGenerators(G) : GrpFP -> RngIntElt
- NumberOfGenerators(P) : GrpFPTietzeProc -> RngIntElt
- NumberOfGenerators(G) : GrpGPC -> RngIntElt
- NumberOfGenerators(G) : GrpLie -> RngIntElt
- NumberOfGenerators(G) : GrpMat -> RngIntElt
- NumberOfGenerators(G) : GrpPC -> RngIntElt
- NumberOfGenerators(G) : GrpPerm -> RngIntElt
- NumberOfGenerators(G) : GrpRWS -> RngIntElt
- NumberOfGenerators(G) : GrpRWS -> RngIntElt
- NumberOfGenerators(G) : GrpSLP -> RngIntElt
- NumberOfGenerators(M) : ModTupFld -> RngIntElt
- NumberOfGenerators(M) : MonRWS -> RngIntElt
- NumberOfGenerators(H) : SetPtEll -> RngIntElt
- NumberOfGenerators(H) : SetPtEll -> RngIntElt
- NumberOfGenerators(S) : SgpFP -> RngIntElt
- NumberOfGenerators(T) : TenSpc -> RngIntElt
- PseudoDimension(C) : Code -> RngIntElt

V2.28, 13 July 2023

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