Documentation

roots
- Functions returning Roots (p-ADIC RINGS AND THEIR EXTENSIONS)
- Hensel Lifting of Roots (p-ADIC RINGS AND THEIR EXTENSIONS)
- Roots (ALGEBRAICALLY CLOSED FIELDS)
- Roots (REAL AND COMPLEX FIELDS)
- Roots and Coroots (ROOT SYSTEMS)
- Roots of Elements (p-ADIC RINGS AND THEIR EXTENSIONS)
- Roots of Ideals (ALGEBRAIC FUNCTION FIELDS)
- Roots of Ideals (NUMBER FIELDS AND ORDERS)
- Roots of Polynomials (NEWTON POLYGONS)
- Roots of Polynomials (p-ADIC RINGS AND THEIR EXTENSIONS)
- Roots, Coroots and Reflections (COXETER GROUPS)
- Roots, Coroots and Weights (GROUPS OF LIE TYPE)
- Roots, Coroots and Weights (ROOT DATA)
- Simple and Positive Roots (ROOT DATA)
- Simple and Positive Roots (ROOT SYSTEMS)
- The Coxeter Group (ROOT SYSTEMS)
roots-coroots-weights
- Roots and Coroots (ROOT SYSTEMS)
- Roots, Coroots and Weights (GROUPS OF LIE TYPE)
- Roots, Coroots and Weights (ROOT DATA)
roots-direct
- Functions returning Roots (p-ADIC RINGS AND THEIR EXTENSIONS)
roots-ex
- Newton_roots-ex (Example H55E10)
RootsAndCoroots
- RootsAndCoroots(G) : GrpMat -> [RngIntElt], [ModTupRngElt], [ModTupRngElt]
RootsCoroots
- GrpCox_RootsCoroots (Example H105E17)
- GrpLie_RootsCoroots (Example H110E13)
- GrpRfl_RootsCoroots (Example H106E24)
- RootDtm_RootsCoroots (Example H104E17)
- RootSys_RootsCoroots (Example H103E10)
RootSequence
- RootSequence(V, f) : ModTupFld, Mtrx -> SeqEnum
RootSide
- RootSide(v) : GrphVert -> GrphVert
RootsInSplittingField
- RootsInSplittingField(f) : RngUPolElt[FldFin] -> [<RngUPolElt, RngIntElt>], FldFin
RootsNonExact
- RootsNonExact(p) : RngUPolElt[FldRe] -> [ FldComElt ], [ FldComElt ]
- FldRe_RootsNonExact (Example H26E7)
RootSpace
- CorootSpace(G) : GrpLie -> Lat
- RootSpace(G) : GrpLie -> Lat
- RootSpace(W) : GrpMat -> Lat
- RootSpace(W) : GrpPermCox -> .
- RootSpace(R) : RootStr -> ModTupFld
- RootSpace(R) : RootSys -> ModTupFld
- GrpCox_RootSpace (Example H105E16)
- GrpRfl_RootSpace (Example H106E23)
- RootSys_RootSpace (Example H103E9)
RootSubdata
- GrpLie_RootSubdata (Example H110E17)
- RootDtm_RootSubdata (Example H104E26)
rootsys
- Definition of a Root System (ROOT SYSTEMS)
RootSysSums
- RootSys_RootSysSums (Example H103E16)
RootSystem
- RootSystem(L) : AlgLie -> [ ModTupRngElt ], [ AlgLieElt ], [ ModTupRngElt ], AlgMatElt
- RootSystem(C) : AlgMatElt -> RootSys
- RootSystem(M) : AlgMatElt -> RootSys
- RootSystem(M) : AlgMatElt -> RootSys
- RootSystem(D) : GrphDir -> RootSys
- RootSystem(W) : GrpMat -> RootDtm
- RootSystem(W) : GrpPermCox -> RootDtm
- RootSystem(N) : MonStgElt -> RootSys
- RootSystem(A, B) : Mtrx, Mtrx -> RootSys
- RootSystem(R) : RootDtm -> RootSys
- AlgLie_RootSystem (Example H107E32)
RootVertex
- RootVertex(s) : GrphSpl -> GrphSplVert
Rosenhain
- RosenhainInvariants(t) : Mtrx -> Set
rosenhain
- From Period Matrix to Curve (HYPERELLIPTIC CURVES)
RosenhainInvariants
- RosenhainInvariants(t) : Mtrx -> Set
Rotate
- Rotate(~u, k) : ModTupFldElt, RngIntElt ->
- Rotate(u, k) : ModTupFldElt, RngIntElt -> ModTupFldElt
- Rotate(~u, k) : ModTupRngElt, RngIntElt ->
- Rotate(~u, k) : ModTupRngElt, RngIntElt ->
- Rotate(~u, k) : ModTupRngElt, RngIntElt ->
- Rotate(~u, k) : ModTupRngElt, RngIntElt ->
- Rotate(u, k) : ModTupRngElt, RngIntElt -> ModTupRngElt
- Rotate(u, k) : ModTupRngElt, RngIntElt -> ModTupRngElt
- Rotate(u, k) : ModTupRngElt, RngIntElt -> ModTupRngElt
- Rotate(u, k) : ModTupRngElt, RngIntElt -> ModTupRngElt
- Rotate(~S, p) : SeqEnum, RngIntElt ->
- RotateWord(u, n) : GrpFPElt, RngIntElt -> GrpFPElt
- RotateWord(u, n) : GrpFPElt, RngIntElt -> GrpFPElt
- RotateWord(u, n) : SgpFPElt, RngIntElt -> SgpFPElt
RotateWord
- RotateWord(u, n) : GrpFPElt, RngIntElt -> GrpFPElt
- RotateWord(u, n) : GrpFPElt, RngIntElt -> GrpFPElt
- RotateWord(u, n) : SgpFPElt, RngIntElt -> SgpFPElt

V2.28, 13 July 2023

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