\makelabel{orb:Title page}{}
\makelabel{orb:Copyright}{}
\makelabel{orb:Table of Contents}{}
\makelabel{orb:Introduction}{1}
\makelabel{orb:Motivation for this package}{1.1}
\makelabel{orb:Overview over this manual}{1.2}
\makelabel{orb:Installation of the orb-Package}{2}
\makelabel{orb:Static linking}{2.1}
\makelabel{orb:Recompiling the documentation}{2.2}
\makelabel{orb:Basic orbit enumeration}{3}
\makelabel{orb:Enumerating orbits}{3.1}
\makelabel{orb:Options for orbits}{3.1.4}
\makelabel{orb:Output components of orbits}{3.1.5}
\makelabel{orb:Hashing techniques}{4}
\makelabel{orb:The idea of hashing}{4.1}
\makelabel{orb:Hash functions}{4.2}
\makelabel{orb:Using hash tables}{4.3}
\makelabel{orb:Using hash tables (legacy code)}{4.4}
\makelabel{orb:The data structures for hash tables}{4.5}
\makelabel{orb:Memory requirements}{4.5.1}
\makelabel{orb:Handling of collisions}{4.5.2}
\makelabel{orb:Efficiency}{4.5.3}
\makelabel{orb:Caching techniques}{5}
\makelabel{orb:The idea of caching}{5.1}
\makelabel{orb:Using caches}{5.2}
\makelabel{orb:Random elements}{6}
\makelabel{orb:Randomizing mutable objects}{6.1}
\makelabel{orb:Product replacement}{6.2}
\makelabel{orb:Searching in groups and orbits}{7}
\makelabel{orb:Searching using orbit enumeration}{7.1}
\makelabel{orb:Random searches in groups}{7.2}
\makelabel{orb:The dihedral trick and applications}{7.3}
\makelabel{orb:Orbit statistics on vector spaces}{7.4}
\makelabel{orb:Finding generating sets of subgroups}{7.5}
\makelabel{orb:AVL trees}{8}
\makelabel{orb:The idea of AVL trees}{8.1}
\makelabel{orb:Using AVL trees}{8.2}
\makelabel{orb:The internal data structures}{8.3}
\makelabel{orb:Orbit enumeration by suborbits}{9}
\makelabel{orb:OrbitBySuborbits and its resulting objects}{9.1}
\makelabel{orb:Preparation functions for OrbitBySuborbit (9.1-1)}{9.2}
\makelabel{orb:Data structures for orbit-by-suborbits}{9.3}
\makelabel{orb:The global record ORB}{9.3.2}
\makelabel{orb:Lists of orbit-by-suborbit objects}{9.4}
\makelabel{orb:Finding nice quotients}{10}
\makelabel{orb:Examples}{11}
\makelabel{orb:The Mathieu group M{11} acting in dimension 24}{11.1}
\makelabel{orb:The Fischer group Fi{23} acting in dimension 1494}{11.2}
\makelabel{orb:The Conway group Co1 acting in dimension 24}{11.3}
\makelabel{orb:The Baby Monster B acting on its 2A involutions}{11.4}
\makelabel{orb:Bibliography}{Bib}
\makelabel{orb:References}{Bib}
\makelabel{orb:Index}{Ind}
\makelabel{orb:orb}{2}
\makelabel{orb:Orb}{3.1.1}
\makelabel{orb:Enumerate}{3.1.2}
\makelabel{orb:IsClosed}{3.1.3}
\makelabel{orb:StabWords (basic)}{3.1.6}
\makelabel{orb:PositionOfFound}{3.1.7}
\makelabel{orb:DepthOfSchreierTree}{3.1.8}
\makelabel{orb:ActionOnOrbit}{3.1.9}
\makelabel{orb:OrbActionHomomorphism}{3.1.10}
\makelabel{orb:TraceSchreierTreeForward}{3.1.11}
\makelabel{orb:TraceSchreierTreeBack}{3.1.12}
\makelabel{orb:ActWithWord}{3.1.13}
\makelabel{orb:EvaluateWord}{3.1.14}
\makelabel{orb:AddGeneratorsToOrbit}{3.1.15}
\makelabel{orb:MakeSchreierTreeShallow}{3.1.16}
\makelabel{orb:FindSuborbits}{3.1.17}
\makelabel{orb:OrbitIntersectionMatrix}{3.1.18}
\makelabel{orb:ORBEstimateOrbitSize}{3.1.19}
\makelabel{orb:ChooseHashFunction}{4.2.1}
\makelabel{orb:ChooseHashFunction (gf2vec)}{4.2.2}
\makelabel{orb:ChooseHashFunction (8bitvec)}{4.2.3}
\makelabel{orb:ChooseHashFunction (gf2mat)}{4.2.4}
\makelabel{orb:ChooseHashFunction (8bitmat)}{4.2.5}
\makelabel{orb:ChooseHashFunction (int)}{4.2.6}
\makelabel{orb:ChooseHashFunction (perm)}{4.2.7}
\makelabel{orb:ChooseHashFunction (intlist)}{4.2.8}
\makelabel{orb:ChooseHashFunction (NBitsPcWord)}{4.2.9}
\makelabel{orb:ChooseHashFunction (IntLists)}{4.2.10}
\makelabel{orb:ChooseHashFunction (MatLists)}{4.2.11}
\makelabel{orb:HTCreate}{4.3.1}
\makelabel{orb:HTAdd}{4.3.2}
\makelabel{orb:HTValue}{4.3.3}
\makelabel{orb:HTUpdate}{4.3.4}
\makelabel{orb:HTDelete}{4.3.5}
\makelabel{orb:HTGrow}{4.3.6}
\makelabel{orb:NewHT}{4.4.1}
\makelabel{orb:AddHT}{4.4.2}
\makelabel{orb:ValueHT}{4.4.3}
\makelabel{orb:InitHT}{4.4.4}
\makelabel{orb:GrowHT}{4.4.5}
\makelabel{orb:LinkedListCache}{5.2.1}
\makelabel{orb:CacheObject}{5.2.2}
\makelabel{orb:ClearCache}{5.2.3}
\makelabel{orb:UseCacheObject}{5.2.4}
\makelabel{orb:Randomize}{6.1.1}
\makelabel{orb:MakeRandomVectors}{6.1.2}
\makelabel{orb:MakeRandomLines}{6.1.3}
\makelabel{orb:ProductReplacer}{6.2.1}
\makelabel{orb:Next}{6.2.2}
\makelabel{orb:Reset}{6.2.3}
\makelabel{orb:RandomSearcher}{7.2.1}
\makelabel{orb:Search}{7.2.2}
\makelabel{orb:FindInvolution}{7.3.1}
\makelabel{orb:FindCentralisingElementOfInvolution}{7.3.2}
\makelabel{orb:FindInvolutionCentralizer}{7.3.3}
\makelabel{orb:OrbitStatisticOnVectorSpace}{7.4.1}
\makelabel{orb:OrbitStatisticOnVectorSpaceLines}{7.4.2}
\makelabel{orb:FindShortGeneratorsOfSubgroup}{7.5.1}
\makelabel{orb:AVLTree}{8.2.1}
\makelabel{orb:AVLCmp}{8.2.2}
\makelabel{orb:AVLAdd}{8.2.3}
\makelabel{orb:AVLLookup}{8.2.4}
\makelabel{orb:AVLDelete}{8.2.5}
\makelabel{orb:AVLFindIndex}{8.2.6}
\makelabel{orb:AVLIndex}{8.2.7}
\makelabel{orb:AVLIndexLookup}{8.2.8}
\makelabel{orb:AVLIndexAdd}{8.2.9}
\makelabel{orb:AVLIndexDelete}{8.2.10}
\makelabel{orb:AVLFind}{8.2.11}
\makelabel{orb:AVLData}{8.2.12}
\makelabel{orb:AVLValue}{8.2.13}
\makelabel{orb:Display}{8.2.14}
\makelabel{orb:ELMLIST}{8.2.15}
\makelabel{orb:Position}{8.2.16}
\makelabel{orb:Add}{8.2.17}
\makelabel{orb:Remove}{8.2.18}
\makelabel{orb:Length}{8.2.19}
\makelabel{orb:\in}{8.2.20}
\makelabel{orb:OrbitBySuborbit}{9.1.1}
\makelabel{orb:OrbitBySuborbitKnownSize}{9.1.2}
\makelabel{orb:Size (fororb)}{9.1.3}
\makelabel{orb:Seed}{9.1.4}
\makelabel{orb:SuborbitsDb}{9.1.5}
\makelabel{orb:WordsToSuborbits}{9.1.6}
\makelabel{orb:Memory (forob)}{9.1.7}
\makelabel{orb:Stabilizer (obso)}{9.1.8}
\makelabel{orb:StabWords}{9.1.9}
\makelabel{orb:SavingFactor (fororb)}{9.1.10}
\makelabel{orb:TotalLength (fordb)}{9.1.11}
\makelabel{orb:Representatives}{9.1.12}
\makelabel{orb:SavingFactor (fordb)}{9.1.13}
\makelabel{orb:OrigSeed}{9.1.14}
\makelabel{orb:OrbitBySuborbitBootstrapForVectors}{9.2.1}
\makelabel{orb:OrbitBySuborbitBootstrapForLines}{9.2.2}
\makelabel{orb:OrbitBySuborbitBootstrapForSpaces}{9.2.3}
\makelabel{orb:IsOrbitBySuborbitSetup}{9.3.1}
\makelabel{orb:InitOrbitBySuborbitList}{9.4.1}
\makelabel{orb:IsVectorInOrbitBySuborbitList}{9.4.2}
\makelabel{orb:OrbitsFromSeedsToOrbitList}{9.4.3}
\makelabel{orb:VerifyDisjointness}{9.4.4}
\makelabel{orb:Memory (forobsol)}{9.4.5}
\makelabel{orb:TotalLength (forobsol)}{9.4.6}
\makelabel{orb:Size (forobsol)}{9.4.7}
\makelabel{orb:SavingFactor (forobsol)}{9.4.8}
