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Subindex: ops-root-coroot  ..  Orbit


ops-root-coroot

   Operations and Properties for Root and Coroot Indices (COXETER GROUPS AS PERMUTATION GROUPS)
   Operations and Properties for Root and Coroot Indices (GROUPS OF LIE TYPE)
   Operations and Properties for Root and Coroot Indices (ROOT DATA)
   Operations and Properties for Roots and Coroot Indices (ROOT SYSTEMS)

ops_arith

   ModDed_ops_arith (Example H56E4)

opt

   LINEAR PROGRAMMING

opt-rep

   RngOrd_opt-rep (Example H48E3)

Optimal

   IsOptimal(phi) : MapModAbVar -> BoolElt
   OptimalEdgeColouring(G) : GrphUnd -> SeqEnum
   OptimalSkewness(F) : RngMPolElt -> FldReElt, FldReElt
   OptimalVertexColouring(G) : GrphUnd -> SeqEnum

OptimalEdgeColouring

   OptimalEdgeColouring(G) : GrphUnd -> SeqEnum

OptimalSkewness

   OptimalSkewness(F) : RngMPolElt -> FldReElt, FldReElt

OptimalVertexColouring

   OptimalVertexColouring(G) : GrphUnd -> SeqEnum

Optimised

   OptimisedRepresentation(O) : AlgAssVOrd -> AlgQuat, Map
   OptimizedRepresentation(O) : AlgAssVOrd -> AlgQuat, Map
   OptimizedRepresentation(A) : AlgQuat -> AlgQuat, Map
   OptimizedRepresentation(F) : FldAlg -> FldAlg, map
   OptimizedRepresentation(O) : RngOrd -> BoolElt, RngOrd, Map
   OptimizedRepresentation(E) : RngSerExt -> RngSer, Map

OptimisedRepresentation

   OptimisedRepresentation(O) : AlgAssVOrd -> AlgQuat, Map
   OptimizedRepresentation(O) : AlgAssVOrd -> AlgQuat, Map
   OptimizedRepresentation(A) : AlgQuat -> AlgQuat, Map
   OptimizedRepresentation(F) : FldAlg -> FldAlg, map
   OptimizedRepresentation(O) : RngOrd -> BoolElt, RngOrd, Map
   OptimizedRepresentation(E) : RngSerExt -> RngSer, Map

optimization

   Optimizing Magma Code (FINITE SOLUBLE GROUPS)

optimize

   OptimisedRepresentation(E) : RngSerExt -> RngSer, Map
   Optimized Representation (POWER, LAURENT AND PUISEUX SERIES)

Optimized

   OptimisedRepresentation(O) : AlgAssVOrd -> AlgQuat, Map
   OptimizedRepresentation(O) : AlgAssVOrd -> AlgQuat, Map
   OptimizedRepresentation(A) : AlgQuat -> AlgQuat, Map
   OptimizedRepresentation(F) : FldAlg -> FldAlg, map
   OptimizedRepresentation(O) : RngOrd -> BoolElt, RngOrd, Map
   OptimizedRepresentation(E) : RngSerExt -> RngSer, Map

OptimizedRepresentation

   OptimisedRepresentation(O) : AlgAssVOrd -> AlgQuat, Map
   OptimizedRepresentation(O) : AlgAssVOrd -> AlgQuat, Map
   OptimizedRepresentation(A) : AlgQuat -> AlgQuat, Map
   OptimizedRepresentation(F) : FldAlg -> FldAlg, map
   OptimizedRepresentation(O) : RngOrd -> BoolElt, RngOrd, Map
   OptimizedRepresentation(E) : RngSerExt -> RngSer, Map

option

   Print Options (MODULES OVER AFFINE ALGEBRAS)
   Print Options (UNIVARIATE POLYNOMIAL RINGS)
   Special Options (FINITE FIELDS)
   Special Options (ORDERS AND ALGEBRAIC FIELDS)

Options

   SetOptions(~P : parameters) : Process(Tietze) ->
   ShowOptions(~P : parameters) : Process(Tietze) ->

options

   Command Line Options (ENVIRONMENT AND OPTIONS)
   ENVIRONMENT AND OPTIONS
   Special Options (POWER, LAURENT AND PUISEUX SERIES)

Or

   Or(S, T) : [ BoolElt ], [ BoolElt ] -> [ BoolElt ]
   RecogniseAlternatingOrSymmetric(G, n) : Grp, RngIntElt -> BoolElt, BoolElt, UserProgram, UserProgram

or

   Expression (OVERVIEW)
   x or y: BoolElt, BoolElt -> BoolElt

Orbit

   BasicOrbit(G, i) : GrpMat, RngIntElt -> SetIndx
   BasicOrbit(G, i) : GrpPerm, RngIntElt -> SetIndx
   BasicOrbitLength(G, i) : GrpMat, RngIntElt -> RngIntElt
   BasicOrbitLength(G, i) : GrpPerm, RngIntElt -> RngIntElt
   BasicOrbitLengths(G) : GrpMat -> [RngIntElt]
   BasicOrbitLengths(G) : GrpPerm -> [RngIntElt]
   EstimateOrbit(G, U: parameters) : GrpMat, ModTupFld -> RngIntElt, RngIntElt, RngIntElt
   ExceptionalUnitOrbit(u) : RngOrdElt -> [ RngOrdElt ]
   GaloisOrbit(x) : AlgChtrElt -> { AlgChtrElt }
   GammaOrbitOnRoots(R,r) : RootDtm, RngIntElt -> GSetEnum
   IsMemberBasicOrbit(G, i, a) : GrpPerm, RngIntElt, Elt -> BoolElt
   IsOrbit(G, S) : GrpPerm, { Elt } -> BoolElt
   Orbit(A, Y, y) : GrpPerm, GSet, Elt -> GSet
   Orbit(G, Y, y) : GrpPerm, GSet, Elt -> GSet
   Orbit(G, Y, y) : GrpPerm, GSet, Elt -> GSet
   Orbit(G, Y, y) : GrpPerm, GSet, Elt -> GSet
   OrbitAction(G, T) : GrpMat, Elt -> Hom(Grp), GrpPerm, GrpMat
   OrbitAction(G, T) : GrpPerm, GSet -> Hom(Grp), GrpPerm, GrpPerm
   OrbitActionBounded(G, T, b) : GrpMat, Elt, RngIntElt -> BoolElt, Hom(Grp), GrpPerm, GrpMat
   OrbitBounded(G, y, b) : GrpMat, Elt, RngIntElt -> BoolElt, SetEnum
   OrbitClosure(G, S) : GrpMat, { Elt } -> GSet
   OrbitClosure(G, Y, S) : GrpPerm, GSet, { Elt } -> GSet
   OrbitImage(G, T) : GrpMat, Set -> GrpPerm
   OrbitImage(G, T) : GrpPerm, GSet -> GrpPerm
   OrbitImageBounded(G, T, b) : GrpMat, Set, RngIntElt -> BoolElt, GrpPerm
   OrbitKernel(G, T) : GrpMat, Set -> GrpMat
   OrbitKernel(G, T) : GrpPerm, GSet -> GrpPerm
   OrbitKernelBounded(G, T, b) : GrpMat, Set, RngIntElt -> BoolElt, GrpMat
   OrbitRepresentatives(G) : GrpPerm -> SeqEnum
   ReductionOrbit(f) : QuadBinElt -> SeqEnum[QuadBinElt]
   WeightOrbit(W, v) : GrpMat, . -> @ ModTupFldElt @, [GrpFPCoxElt]
   WeightOrbit(W, v) : GrpPermCox, . -> @ ModTupFldElt @, [GrpFPCoxElt]
   WeightOrbit(R, v) : RootDtm, . -> @ ModTupFldElt @, [GrpFPCoxElt]
   y ^ G : Elt, GrpMat -> SetEnum


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