Documentation

shortest
- Distances, Shortest Paths and Minimum Weight Trees (MULTIGRAPHS)
- Shortest and Closest Vectors (LATTICES)
shortest-closest
- Shortest and Closest Vectors (LATTICES)
shortest-paths
- Distances, Shortest Paths and Minimum Weight Trees (MULTIGRAPHS)
ShortestPath
- ShortestPath(u, v : parameters) : GrphVert, GrphVert -> Eseq
- Path(u, v : parameters) : GrphVert, GrphVert -> Eseq
ShortestPaths
- ShortestPaths(u : parameters) : GrphVert -> Eseq
- Paths(u : parameters) : GrphVert -> Eseq
ShortestVector
- ShortestVector(L) : Lat -> LatElt
- ShortestVector(L) : Lat -> LatElt
ShortestVectors
- ShortestVectors(L) : Lat -> SeqEnum
- ShortestVectors(L) : Lat -> [ LatElt ]
- ShortestVectors(G) : Mtrx[RngUPol] -> SeqEnum
ShortestVectorsMatrix
- ShortestVectorsMatrix(L) : Lat -> ModMatRngElt
ShortVector
- ShortVector(L, u) : Lat, RngElt -> LatElt
- ShortVector(L, B) : Lat, RngIntElt -> LatElt
- ShortVector(L, A, B) : Lat, RngIntElt, RngIntElt -> LatElt
ShortVector1
- Par_ShortVector1 (Example H5E13)
ShortVectors
- ShortVectors(L, u) : Lat, RngElt -> [ <LatElt, RngElt> ]
- ShortVectors(L, B) : Lat, RngIntElt -> SeqEnum
- ShortVectors(L, A, B) : Lat, RngIntElt, RngIntElt -> LatElt
- ShortVectors(G, B) : Mtrx[RngUPol], RngIntElt -> SeqEnum
ShortVectorsMatrix
- ShortVectorsMatrix(L, u) : Lat, RngElt -> ModMatRngElt
ShortVectorsProcess
- ShortVectorsProcess(L, u) : Lat, RngElt -> LatEnumProc
Show
- GetShowRealTime() : -> BoolElt
- SetShowRealTime(v) : BoolElt ->
- ShowIdentifiers() : ->
- ShowMemoryUsage() : ->
- ShowOptions(~P : parameters) : GrpFPTietzeProc ->
- ShowPrevious() : ->
- ShowPrevious(i) : RngIntElt ->
- ShowValues() : ->
ShowIdentifiers
- ShowIdentifiers() : ->
ShowMemoryUsage
- ShowMemoryUsage() : ->
ShowOptions
- ShowOptions(~P : parameters) : GrpFPTietzeProc ->
ShowPrevious
- ShowPrevious() : ->
- ShowPrevious(i) : RngIntElt ->
ShowValues
- ShowValues() : ->
Shrikhande
- ShrikhandeGraph() : -> GrphUnd
- GewirtzGraph() : -> GrphUnd
- ClebschGraph() : -> GrphUnd
ShrikhandeGraph
- ShrikhandeGraph() : -> GrphUnd
- GewirtzGraph() : -> GrphUnd
- ClebschGraph() : -> GrphUnd
Shrinking
- ShrinkingGenerator(C1, S1, C2, S2, t) : RngUPolElt, SeqEnum, RngUPolElt,SeqEnum, RngIntElt -> SeqEnum
ShrinkingGenerator
- ShrinkingGenerator(C1, S1, C2, S2, t) : RngUPolElt, SeqEnum, RngUPolElt,SeqEnum, RngIntElt -> SeqEnum
Shub
- BlumBlumShubModulus(b) : RngIntElt -> RngIntElt
- BBSModulus(b) : RngIntElt -> RngIntElt
- RandomSequenceBlumBlumShub(b, t) : RngIntElt, RngIntElt -> SeqEnum
- RandomSequenceBlumBlumShub(n, s, t) : RngIntElt, RngIntElt, RngIntElt -> SeqEnum
Shuffle
- Shuffle(H, g) : Hmtp, GrpPermElt -> Hmtp
- Shuffle(T, g) : TenSpcElt, GrpPermElt -> TenSpcElt
ShuffleToTranspose
- Multilinear_ShuffleToTranspose (Example H62E20)
Shuffling
- Multilinear_Shuffling (Example H62E21)
Side
- RootSide(v) : GrphVert -> GrphVert
Sided
- IsRightIdeal(I) : AlgAssVOrdIdl -> BoolElt
- IsTwoSidedIdeal(I) : AlgAssVOrdIdl -> BoolElt
- IsLeftIdeal(I) : AlgAssVOrdIdl -> BoolElt
- TwoSidedIdealClassGroup(S : Support) : AlgAssVOrd -> GrpAb, Map
- TwoSidedIdealClasses(S) : AlgQuatOrd -> [AlgQuatOrdIdl]
Siegel
- SiegelTransformation(u, v) : ModTupFldElt, ModTupFldElt -> AlgMatElt
siegel
- AlgClff_siegel (Example H95E11)
- FldForms_siegel (Example H30E14)
siegel-modular-form
- Lseries_siegel-modular-form (Example H136E27)
SiegelTransformation
- SiegelTransformation(u, v) : ModTupFldElt, ModTupFldElt -> AlgMatElt
Sieve
- NFS(n, F, m1, m2) : RngIntElt, RngMPolElt, RngIntElt, RngIntElt -> RngIntElt
- NumberFieldSieve(n, F, m1, m2) : RngIntElt, RngMPolElt, RngIntElt, RngIntElt -> RngIntElt
- PolynomialSieve(F, m, J0, J1,MaxAlpha) : RngMPolElt, RngIntElt, RngIntElt, RngIntElt, FldReElt -> List
- Sieve(K) : FldFin ->
sieving
- The Sieving Stage (RING OF INTEGERS)
Sigma
- ASigmaL(arguments)
- AffineSigmaLinearGroup(arguments)
- AffineSigmaSymplecticGroup(arguments)
- ContravariantSigmaAndPsi(Phi) : RngMPolElt -> RngMPolElt, RngMPolElt
- DivisorSigma(i, n) : RngIntElt, RngIntElt -> RngIntElt
- ProjectiveSigmaLinearGroup(arguments)
- ProjectiveSigmaSymplecticGroup(arguments)
- ProjectiveSigmaUnitaryGroup(arguments)
Sign
- CanSignNormalize(F) : RngUPolTwstElt -> BoolElt, RngUPolTwstElt, RngElt
- Sign(a, p) : FldFunElt, PlcFunElt -> RngElt
- Sign(q) : FldRatElt -> RngIntElt
- Sign(r) : FldReElt -> RngIntElt
- Sign(g) : GrpPermElt -> RngIntElt
- Sign(x) : Infty -> RngIntElt
- Sign(L) : LSer -> RngElt
- Sign(A) : ModAbVar -> RngIntElt
- Sign(n) : RngIntElt -> RngIntElt
- Sign(f) : RngMPolElt -> RngIntElt
- Sign(p) : RngUPolElt -> RngIntElt
- SignDecomposition(D) : DivCrvElt -> DivElt,DivElt
- SignDecomposition(D) : DivSchElt -> DivSchElt, DivSchElt

V2.28, 13 July 2023

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