diff --git a/data/Manifest.toml b/data/Manifest.toml new file mode 100644 index 0000000..6550d27 --- /dev/null +++ b/data/Manifest.toml @@ -0,0 +1,185 @@ +# This file is machine-generated - editing it directly is not advised + +julia_version = "1.7.1" +manifest_format = "2.0" + +[[deps.ArgTools]] +uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f" + +[[deps.Artifacts]] +uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33" + +[[deps.Base64]] +uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f" + +[[deps.Compat]] +deps = ["Base64", "Dates", "DelimitedFiles", "Distributed", "InteractiveUtils", "LibGit2", "Libdl", "LinearAlgebra", "Markdown", "Mmap", "Pkg", "Printf", "REPL", "Random", "SHA", "Serialization", "SharedArrays", "Sockets", "SparseArrays", "Statistics", "Test", "UUIDs", "Unicode"] +git-tree-sha1 = "44c37b4636bc54afac5c574d2d02b625349d6582" +uuid = "34da2185-b29b-5c13-b0c7-acf172513d20" +version = "3.41.0" + +[[deps.CompilerSupportLibraries_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae" + +[[deps.DataStructures]] +deps = ["Compat", "InteractiveUtils", "OrderedCollections"] +git-tree-sha1 = "3daef5523dd2e769dad2365274f760ff5f282c7d" +uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8" +version = "0.18.11" + +[[deps.Dates]] +deps = ["Printf"] +uuid = "ade2ca70-3891-5945-98fb-dc099432e06a" + +[[deps.DelimitedFiles]] +deps = ["Mmap"] +uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab" + +[[deps.Distributed]] +deps = ["Random", "Serialization", "Sockets"] +uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b" + +[[deps.Downloads]] +deps = ["ArgTools", "LibCURL", "NetworkOptions"] +uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6" + +[[deps.InteractiveUtils]] +deps = ["Markdown"] +uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240" + +[[deps.JSON]] +deps = ["Dates", "Mmap", "Parsers", "Unicode"] +git-tree-sha1 = "8076680b162ada2a031f707ac7b4953e30667a37" +uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6" +version = "0.21.2" + +[[deps.LibCURL]] +deps = ["LibCURL_jll", "MozillaCACerts_jll"] +uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21" + +[[deps.LibCURL_jll]] +deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"] +uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0" + +[[deps.LibGit2]] +deps = ["Base64", "NetworkOptions", "Printf", "SHA"] +uuid = "76f85450-5226-5b5a-8eaa-529ad045b433" + +[[deps.LibSSH2_jll]] +deps = ["Artifacts", "Libdl", "MbedTLS_jll"] +uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8" + +[[deps.Libdl]] +uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb" + +[[deps.LinearAlgebra]] +deps = ["Libdl", "libblastrampoline_jll"] +uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" + +[[deps.Logging]] +uuid = "56ddb016-857b-54e1-b83d-db4d58db5568" + +[[deps.Markdown]] +deps = ["Base64"] +uuid = "d6f4376e-aef5-505a-96c1-9c027394607a" + +[[deps.MbedTLS_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1" + +[[deps.Mmap]] +uuid = "a63ad114-7e13-5084-954f-fe012c677804" + +[[deps.MozillaCACerts_jll]] +uuid = "14a3606d-f60d-562e-9121-12d972cd8159" + +[[deps.NetworkOptions]] +uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908" + +[[deps.OpenBLAS_jll]] +deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"] +uuid = "4536629a-c528-5b80-bd46-f80d51c5b363" + +[[deps.OrderedCollections]] +git-tree-sha1 = "85f8e6578bf1f9ee0d11e7bb1b1456435479d47c" +uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d" +version = "1.4.1" + +[[deps.Parsers]] +deps = ["Dates"] +git-tree-sha1 = "92f91ba9e5941fc781fecf5494ac1da87bdac775" +uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0" +version = "2.2.0" + +[[deps.Pkg]] +deps = ["Artifacts", "Dates", "Downloads", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"] +uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f" + +[[deps.Printf]] +deps = ["Unicode"] +uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7" + +[[deps.REPL]] +deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"] +uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb" + +[[deps.Random]] +deps = ["SHA", "Serialization"] +uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" + +[[deps.SHA]] +uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce" + +[[deps.Serialization]] +uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b" + +[[deps.SharedArrays]] +deps = ["Distributed", "Mmap", "Random", "Serialization"] +uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383" + +[[deps.Sockets]] +uuid = "6462fe0b-24de-5631-8697-dd941f90decc" + +[[deps.SparseArrays]] +deps = ["LinearAlgebra", "Random"] +uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf" + +[[deps.Statistics]] +deps = ["LinearAlgebra", "SparseArrays"] +uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2" + +[[deps.TOML]] +deps = ["Dates"] +uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76" + +[[deps.Tar]] +deps = ["ArgTools", "SHA"] +uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e" + +[[deps.Test]] +deps = ["InteractiveUtils", "Logging", "Random", "Serialization"] +uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40" + +[[deps.UUIDs]] +deps = ["Random", "SHA"] +uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4" + +[[deps.Unicode]] +uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5" + +[[deps.Zlib_jll]] +deps = ["Libdl"] +uuid = "83775a58-1f1d-513f-b197-d71354ab007a" + +[[deps.libblastrampoline_jll]] +deps = ["Artifacts", "Libdl", "OpenBLAS_jll"] +uuid = "8e850b90-86db-534c-a0d3-1478176c7d93" + +[[deps.nghttp2_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d" + +[[deps.p7zip_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0" diff --git a/data/Project.toml b/data/Project.toml new file mode 100644 index 0000000..b2a850c --- /dev/null +++ b/data/Project.toml @@ -0,0 +1,3 @@ +[deps] +DataStructures = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8" +JSON = "682c06a0-de6a-54ab-a142-c8b1cf79cde6" diff --git a/data/create_json.jl b/data/create_json.jl new file mode 100644 index 0000000..110ac32 --- /dev/null +++ b/data/create_json.jl @@ -0,0 +1,45 @@ +using Pkg +Pkg.activate(@__DIR__) +using DelimitedFiles +using JSON + +include(joinpath(@__DIR__, "parse_presentations.jl")) +include(joinpath(@__DIR__, "smallhyperbolicgrp.jl")) + +all_grps_presentations = + let tables = [ + joinpath(@__DIR__, f) for f in readdir(@__DIR__) if + isfile(joinpath(@__DIR__, f)) && endswith(f, ".txt") + ] + mapreduce(parse_grouppresentations_abstract, union, tables) |> Dict + end + +tr_grps = + let csvs = [ + joinpath(@__DIR__, f) for f in readdir(@__DIR__) if + isfile(joinpath(@__DIR__, f)) && endswith(f, ".csv") + ] + + trGrps = mapreduce(union, csvs) do file + m = match(r".*_(\d)_(\d)_(\d).csv", basename(file)) + @assert !isnothing(m) + type = parse.(Int, tuple(m[1], m[2], m[3])) + + data = readdlm(file, '&') + labels = Symbol.(replace.(strip.(data[1, :]), ' ' => '_', '-' => '_')) + groups = data[2:end, :] + grps = map(enumerate(eachrow(groups))) do (i, props) + nt = (; (Symbol(l) => v for (l, v) in zip(labels, props))...) + @debug i, grp_name(nt) + P = all_grps_presentations[grp_name(nt)] + grp = TriangleGrp(type, P.generators, P.relations, nt) + end + end + end + +open(joinpath(@__DIR__, "triangle_groups.json"), "w") do io + f(args...) = show_json(args...; indent = 4) + s = sprint(f, TriangleGrpSerialization(), tr_grps) + # JSON.print(io, , 4) + print(io, s) +end diff --git a/data/parse_presentations.jl b/data/parse_presentations.jl new file mode 100644 index 0000000..139ce1f --- /dev/null +++ b/data/parse_presentations.jl @@ -0,0 +1,75 @@ +include("../src/groupparse.jl") + +function parse_grouppresentations_abstract(filename::AbstractString) + lines = strip.(readlines(filename)) + groups = let t = (; generators = String[], relations = String[]) + Dict{String,typeof(t)}() + end + group_regex = r"(?\w.*)\s?:=\s?(?Group.*)" + for line in lines + isempty(line) && continue + newline = if iscomment(line) + line[3:end] + else + line[1:end] + end + m = match(group_regex, newline) + if isnothing(m) + @debug "Can't parse line as group presentation \n $line" + continue + else + name = strip(m[:name]) + group_str = m[:group_str] + gens, rels = split_magma_presentation(group_str) + groups[name] = (generators = String.(gens), relations = String.(rels)) + end + end + return groups +end + +# parse_grouppresentations_abstract("./data/presentations_2_4_4.txt") + +function _tf_missing(x::AbstractString) + s = strip(x) + yes = !isnothing(match(r"yes"i, s)) + no = !isnothing(match(r"no"i, s)) + mis = !isnothing(match(r"(\?)+", s)) + @debug "string for true/false/missing : $s" parsed=(yes, no, mis) + yes && !no && !mis && return true + !yes && no && !mis && return false + !yes && !no && mis && return missing + throw(ArgumentError("Unrecognized string as true/false/missing: $x")) +end + +function parse_vec(s::AbstractString) + m = match(r"^\s*\[(.*)\]\s*$", s) + isnothing(m) && throw("String does not seem to represent a vector: $s") + content = m[1] + return strip.(split(content, ',')) +end + +parse_vec(T::Type{<:AbstractString}, s::AbstractString) = T.(parse_vec(s)) +function parse_vec(::Type{T}, s::AbstractString) where {T<:Number} + v = parse_vec(String, s) + isempty(v) && return T[] + length(v) == 1 && isempty(first(v)) && return T[] + return parse.(T, parse_vec(String, s)) +end + +function parse_vec( + ::Type{T}, + s::AbstractString, +) where {A<:AbstractString,B<:Number,T<:Tuple{A,B}} + v = parse_vec(s) + if length(v) == 1 + @assert isempty(first(v)) + return Tuple{A,B}[] + end + @assert iseven(length(v)) + return map(1:2:length(v)) do i + @assert first(v[i]) == '(' && last(v[i+1]) == ')' + key = v[i][begin+1:end] + val = v[i+1][begin:end-1] + (A(key), parse(B, val)) + end +end diff --git a/data/smallhyperbolicgrp.jl b/data/smallhyperbolicgrp.jl new file mode 100644 index 0000000..c0d6539 --- /dev/null +++ b/data/smallhyperbolicgrp.jl @@ -0,0 +1,150 @@ +struct TriangleGrp + half_girth_type::NTuple{3,Int} + generators::Vector{String} + relations::Vector{String} + order1::Int + order2::Int + order3::Int + index::Int + presentation_length::Int + hyperbolic::Union{Missing,Bool} + witnesses_non_hyperbolictity::Union{Missing,Vector{String}} + virtually_torsion_free::Union{Missing,Bool} + Kazdhdan_property_T::Union{Missing,Bool} + abelianization_dimension::Int + L2_quotients::Vector{String} + quotients::Vector{Pair{String,Int}} + alternating_quotients::Vector{Int} + maximal_degree_alternating_quotients::Int +end + +_name(G) = "G_$(G.order1)_$(G.order2)_$(G.order3)_$(G.index)" +name(G::TriangleGrp) = _name(G) +grp_name(nt::NamedTuple) = _name(nt) + +latex_name(G::TriangleGrp) = "G^{$(G.order1),$(G.order2),$(G.order3)}_$(G.index)" + +function _ishyperbolic(half_girth_type, nt::NamedTuple) + a, b, c = half_girth_type + if 1 // a + 1 // b + 1 // c < 1 + return true, missing + elseif hasproperty(nt, :hyperbolic) + hyperbolic = _tf_missing(nt.hyperbolic) + nh_witnesses = let w = strip(nt.witnesses_for_non_hyperbolicity) + isempty(w) ? missing : parse_vec(String, '[' * w * ']') + end + @debug "$(nt.hyperbolic) was parsed as $hyperbolic" nh_witnesses + if hyperbolic isa Bool && hyperbolic + @assert ismissing(nh_witnesses) + end + if !ismissing(nh_witnesses) + @assert !hyperbolic + end + return hyperbolic, nh_witnesses + else + return missing, missing + end +end + +function _sanitize_group_name(s::AbstractString) + s = replace(s, '$'=>"") + s = replace(s, "\\infty"=>"inf") + s = replace(s, r"\\textrm{(.*?)}"=>s"\1") + s = replace(s, r"(Alt)_{(\d+)}"=>s"\1(\2)") + s = replace(s, "_{}"=>"") + return s +end + +function _delatexify(dict) + map(dict) do (key, val) + key = _sanitize_group_name(key) + key = replace(key, r"_{(\d+)}"=>s"\1") + key = replace(key, "{}^"=>"") + key => val + end |> Dict +end + +function TriangleGrp(half_girth_type::NTuple{3,Int}, generators, relations, nt::NamedTuple) + # @assert fieldnames(SmallHyperbolicGrp) == propertynames(nt) + hyperbolic, witness = _ishyperbolic(half_girth_type, nt) + + l2_quotients = let v = _sanitize_group_name.(parse_vec(String, nt.L2_quotients)) + if isempty(v) || (length(v)==1 && isempty(first(v))) + Vector{String}() + else + String.(v) + end + end + + TriangleGrp( + half_girth_type, + convert(Vector{String}, generators), + convert(Vector{String}, relations), + convert(Int, nt.order1), + convert(Int, nt.order2), + convert(Int, nt.order3), + convert(Int, nt.index), + convert(Int, nt.presentation_length), + hyperbolic, + witness, + _tf_missing(nt.virtually_torsion_free), + _tf_missing(nt.Kazhdan), + convert(Int, nt.abelianization_dimension), + l2_quotients, + [Pair(_sanitize_group_name(p[1]), p[2]) for p in parse_vec(Tuple{String,Int}, nt.quotients)], + parse_vec(Int, nt.alternating_quotients), + convert(Int, nt.maximal_order_for_alternating_quotients), + ) +end + +import DataStructures + +import JSON.Serializations: CommonSerialization, StandardSerialization +import JSON.Writer: StructuralContext, show_json +struct TriangleGrpSerialization <: CommonSerialization end + +function subscriptify(n::Integer) + n, sgn = abs(n), sign(n) + # Char(0x2080) == '₀' + s = join(Char(0x2080+d) for d in reverse(digits(n))) + return sgn >= 0 ? s : "₋"*s +end + +function superscriptify(n::Integer) + n, sgn = abs(n), sign(n); + # (Char(0x2070), '¹', '²', '³', [Char(0x2070+i) for i in 4:9]...) + dgts = ('⁰', '¹', '²', '³', '⁴', '⁵', '⁶', '⁷', '⁸', '⁹') + s = join(dgts[d+1] for d in reverse(digits(n))) + return sgn >= 0 ? s : "⁻"*s +end + +function _to_utf8(s::AbstractString) + s = _sanitize_group_name(s) + while (m = match(r"(_{(-?\d+)}|_(\d))", s)) !== nothing + n = parse(Int, something(m[2], m[3])) + s = replace(s, m[1]=>subscriptify(n)) + end + while (m = match(r"(\^{(-?\d+)}|\^(\d))", s)) !== nothing + n = parse(Int, something(m[2], m[3])) + s = replace(s, m[1]=>superscriptify(n)) + end + if (m = match(r"G(\^{(\d+),(\d+),(\d+)})", s)) !== nothing + i,j,k = superscriptify.(parse.(Int, (m[2], m[3], m[4]))) + s = replace(s, m[1] => "$(i)'$(j)'$(k)") + end + s = replace(s, "{}"=>"") + return s +end + +function show_json(io::StructuralContext, ::TriangleGrpSerialization, G::TriangleGrp) + D = DataStructures.OrderedDict{Symbol,Any}(:name => latex_name(G)) + D[:name_utf8] = _to_utf8(D[:name]) + for fname in fieldnames(TriangleGrp) + D[fname] = getfield(G, fname) + end + D[:L2_quotients_utf8] = _to_utf8.(D[:L2_quotients]) + D[:quotients_utf8] = Dict(_to_utf8(k) => v for (k,v) in D[:quotients]) + D[:quotients_plain] = _delatexify(D[:quotients]) + D[:quotients] = Dict(D[:quotients]) + return show_json(io, StandardSerialization(), D) +end diff --git a/data/table_2_4_4.csv b/data/table_2_4_4.csv new file mode 100644 index 0000000..ab71b75 --- /dev/null +++ b/data/table_2_4_4.csv @@ -0,0 +1,22 @@ +order1 & order2 & order3 & index & presentation length & hyperbolic & witnesses for non-hyperbolicity & virtually torsion-free & Kazhdan & abelianization dimension & L2-quotients & quotients & alternating quotients & maximal order for alternating quotients +6 & 40 & 40 & 0 & 45 & No & a^-1 * c * b * c * a^-1 * c * b * c^-1, b * c * a^-1 * c * b * c * a^-1 * c^-1 & Yes & No & 0& []& [($\textrm{Alt}_{7}$, 2), ($B_{2}(3)$, 1)] & [ 5, 7 ] & 28 +6 & 40 & 48 & 0 & 37 & No & b * c * a * c^-1 * b * c^-1 * a^-1 * c^-1, a^-1 * c * b * c * a * c * b * c^-1 & Yes & No & 1& [L_2(3^2)]& [($B_{2}(3)$, 3), ($A_{3}(3)$, 1)] & [ 3, 5, 6 ] & 28 +6 & 40 & 54 & 0 & 49 & No & a * c^-1 * b^-1 * c^-1 * a * c * b * c, b^-1 * c * a^-1 * c^-1 * b * c^-1 * a * c & Yes & No & 1& []& [($B_{2}(3)$, 2), ($\textrm{Alt}_{10}$, 4), (${}^2A_{4}(4)$, 1)] & [ 3, 5, 10, 15, 20, 25 ] & 28 +6 & 40 & 54 & 2 & 49 & No & b * c * a * c^-1 * b * c * a^-1 * c, a * c^-1 * b^-1 * c * a^-1 * c * b^-1 * c & Yes & No & 1& []& [($\textrm{Alt}_{9}$, 2), (${}^2A_{3}(9)$, 1), ($A_{3}(3)$, 1)] & [ 3, 5, 9 ] & 28 +6 & 48 & 48 & 0 & 29 & No & a^-1 * c^-1 * b * c, b * c * a * c & Yes & No & 3& []& [($B_{2}(3)$, 1), (${}^2A_{3}(9)$, 1), ($A_{3}(3)$, 1)] & [ 3, 4 ] & 28 +6 & 48 & 54 & 0 & 41 & No & b * c * a * c^-1 * b * c * a * c^-1, a^-1 * c * b * c * a^-1 * c^-1 * b^-1 * c^-1 & Yes & No & 3& []& [($B_{2}(3)$, 2), ($\textrm{Alt}_{10}$, 1), ($\textrm{Alt}_{11}$, 2)] & [ 3, 4, 10, 11, 14, 15, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28 ] & 28 +6 & 48 & 54 & 2 & 41 & No & b * c * a * c^-1 * b * c * a^-1 * c, a * c^-1 * b^-1 * c^-1 * a^-1 * c^-1 * b^-1 * c & Yes & No & 3& []& [(${}^2A_{3}(9)$, 1), ($A_{3}(3)$, 1), (${}^2A_{4}(4)$, 1)] & [ 3, 4 ] & 28 +6 & 54 & 54 & 0 & 53 & No & a * c^-1 * b^-1 * c^-1 * a * c * b * c, b^-1 * c^-1 * a^-1 * c * b * c^-1 * a * c & Yes & No & 3& []& [($\textrm{Alt}_{9}$, 2), (${}^2A_{4}(4)$, 2)] & [ 3, 9, 27 ] & 28 +6 & 54 & 54 & 2 & 53 & No & a^-1 * c * b^-1 * c * a * c^-1 * b * c, b^-1 * c * a^-1 * c * b * c^-1 * a * c & Yes & No & 3& []& [($\textrm{Alt}_{9}$, 2), (${}^2A_{3}(9)$, 1), ($A_{3}(3)$, 1), (${}^2A_{4}(4)$, 1)] & [ 3, 9, 12, 15, 18, 21, 24, 27 ] & 28 +6 & 54 & 54 & 8 & 53 & No & a^-1 * c^-1 * b * c, b^-1 * c^-1 * a * c & Yes & No & 3& []& [($B_{2}(3)$, 2), ($\textrm{Alt}_{9}$, 4)] & [ 3, 9, 12, 18, 21, 24, 27 ] & 28 +8 & 40 & 40 & 0 & 45 & No & a^-1 * c^-1 * b * c, b * c^-1 * a^-1 * c & Yes & No & 0& [L_2(\infty^4)]& [($B_{2}(3)$, 1), ($C_{2}(4)$, 2), ($\textrm{Alt}_{10}$, 2), ($B_{2}(5)$, 5), ($\textrm{Alt}_{11}$, 2)] & [ 5, 6, 10, 11, 15, 20, 21, 25, 26 ] & 28 +8 & 40 & 48 & 0 & 37 & Yes & & ? & No & 0& [L_2(3^2)]& [($B_{2}(5)$, 4)] & [ 5, 6 ] & 28 +8 & 40 & 54 & 0 & 49 & Yes & & Yes & No & 0& [L_2(3^2)]& [($B_{2}(3)$, 2), ($\textrm{M}_{12}$, 4)] & [ 6 ] & 28 +8 & 40 & 54 & 2 & 49 & No & b * c * a * c^-1 * b * c^-1 * a * c, a^-1 * c * b^-1 * c * a^-1 * c * b^-1 * c & Yes & No & 0& [L_2(3^2)]& [($B_{2}(3)$, 2), ($\textrm{M}_{12}$, 4), ($\textrm{Alt}_{10}$, 3), ($A_{3}(3)$, 2), (${}^2A_{4}(4)$, 1)] & [ 6, 10, 12, 15, 16, 21, 22, 27, 28 ] & 28 +8 & 48 & 48 & 0 & 29 & Yes & & Yes & No & 2& []& [($B_{2}(3)$, 3), ($C_{3}(2)$, 4), ($\textrm{Alt}_{11}$, 1)] & [ 3, 4, 5, 11, 19, 25, 28 ] & 28 +8 & 48 & 48 & 1 & 29 & No & b^-1 * c^-1 * a^-1 * c * b * c * a * c^-1, a * c^-1 * b * c * a^-1 * c * b^-1 * c^-1 & Yes & No & 2& []& [($\textrm{Alt}_{7}$, 1), ($B_{2}(3)$, 2), ($C_{3}(2)$, 1), ($B_{2}(5)$, 3), ($\textrm{Alt}_{11}$, 1)] & [ 3, 4, 7, 11, 15, 19, 22, 23, 24, 25, 26, 27, 28 ] & 28 +8 & 48 & 54 & 0 & 41 & Yes & & Yes & No & 2& []& [($B_{2}(3)$, 2), ($\textrm{Alt}_{9}$, 1)] & [ 3, 4, 9 ] & 28 +8 & 48 & 54 & 2 & 41 & Yes & & Yes & No & 2& []& [($B_{2}(3)$, 2), ($C_{3}(2)$, 1), ($\textrm{Alt}_{10}$, 2), (${}^2A_{4}(4)$, 1)] & [ 3, 4, 10, 13, 20, 26, 28 ] & 28 +8 & 54 & 54 & 0 & 53 & Yes & & ? & No & 2& []& [] & [ 3, 4 ] & 28 +8 & 54 & 54 & 2 & 53 & No & a^-1 * c^-1 * b^-1 * c, b * c * a * c & Yes & No & 2& []& [($B_{2}(3)$, 2), ($\textrm{Alt}_{9}$, 2), ($C_{3}(2)$, 4), ($\textrm{Alt}_{10}$, 12), (${}^2A_{3}(9)$, 1), ($A_{3}(3)$, 5), (${}^2A_{4}(4)$, 1), ($\textrm{Alt}_{11}$, 4)] & [ 3, 4, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28 ] & 28 +8 & 54 & 54 & 8 & 53 & No & a * c * b^-1 * c^-1 * a^-1 * c * b * c^-1, b^-1 * c * a * c^-1 * b * c * a^-1 * c^-1 & Yes & No & 2& []& [($B_{2}(3)$, 2), ($\textrm{Alt}_{9}$, 2)] & [ 3, 4, 9, 18, 27, 28 ] & 28 diff --git a/data/table_3_3_3.csv b/data/table_3_3_3.csv new file mode 100644 index 0000000..5e543bc --- /dev/null +++ b/data/table_3_3_3.csv @@ -0,0 +1,83 @@ +order1 & order2 & order3 & index & presentation length & hyperbolic & witnesses for non-hyperbolicity & virtually torsion-free & Kazhdan & abelianization dimension & L2-quotients & quotients & alternating quotients & maximal order for alternating quotients +14 & 14 & 14 & 0 & 27 & ? & & Yes & Yes & 0& [L_2(7)]& [(${}^2A_{2}(9)$, 1), (${}^2A_{2}(25)$, 1)] & [ ] & 36 +14 & 14 & 14 & 1 & 27 & No & c^-1 * a * b^-1 * a * c * a * b^-1 * a, a^-1 * b * c * a * b^-1 * a * c^-1 * b & ? & Yes & 1& []& [] & [ 3 ] & 36 +14 & 14 & 14 & 2 & 27 & No & c^-1 * a * b^-1 * a, a^-1 * b * c^-1 * b & Yes & Yes & 0& []& [($\textrm{Alt}_{7}$, 1)] & [ 7 ] & 36 +14 & 14 & 14 & 6 & 27 & No & c * a * b * a, b^-1 * a^-1 * c * a & Yes & Yes & 1& []& [($A_{2}(8)$, 2)] & [ 3 ] & 36 +14 & 14 & 16 & 0 & 27 & No & c * a * b * a, a^-1 * b^-1 * c^-1 * b & Yes & No & 1& [L_2(7)]& [($\textrm{Alt}_{8}$ or $A_{2}(4)$, 1)] & [ 3, 8 ] & 36 +14 & 14 & 16 & 1 & 27 & No & c * a * b * a * c^-1 * a^-1 * b^-1 * a^-1, b^-1 * a * c * a^-1 * b^-1 * a * c * a^-1 & ? & ? & 0& [L_2(7)]& [] & [ ] & 36 +14 & 14 & 16 & 4 & 27 & No & c * a * b * a * c^-1 * a^-1 * b^-1 * a, a^-1 * b * c^-1 * a * b * a * c * b^-1 & ? & ? & 0& []& [] & [ ] & 36 +14 & 14 & 16 & 5 & 27 & No & c * a * b * a * c^-1 * b * a * c^-1 * b * a^-1, b * a^-1 * c^-1 * a * b^-1 * c^-1 * a * b * c * a^-1 & ? & ? & 1& []& [] & [ 3 ] & 36 +14 & 14 & 18 & 0 & 33 & No & c^-1 * a * b^-1 * a, a^-1 * b * c^-1 * b & Yes & ? & 1& []& [(${}^2A_{2}(9)$, 1)] & [ 3 ] & 36 +14 & 14 & 18 & 4 & 33 & No & a^-1 * b * c * b, c * a * b^-1 * a & ? & ? & 1& []& [] & [ 3 ] & 36 +14 & 14 & 24 & 0 & 35 & Yes & & ? & ? & 1& [L_2(7)]& [] & [ 3 ] & 36 +14 & 14 & 24 & 1 & 35 & No & c^-1 * a * b^-1 * a, a^-1 * b * c^-1 * b & Yes & No & 1& [L_2(7)]& [($\textrm{Alt}_{7}$, 1), (${}^2A_{2}(25)$, 1)] & [ 3, 7 ] & 36 +14 & 14 & 24 & 4 & 35 & No & a^-1 * b * c * b, c * a * b^-1 * a & Yes & No & 1& []& [($\textrm{Alt}_{8}$ or $A_{2}(4)$, 1), ($\textrm{M}_{22}$, 1)] & [ 3, 8 ] & 36 +14 & 14 & 24 & 5 & 35 & No & b * a^-1 * c * a^-1 * b^-1 * a * c^-1 * a, c^-1 * a * b * a^-1 * c * a^-1 * b^-1 * a & Yes & ? & 1& []& [($\textrm{Alt}_{7}$, 1)] & [ 3, 7 ] & 36 +14 & 14 & 26 & 0 & 35 & Yes & & ? & ? & 1& []& [] & [ 3 ] & 36 +14 & 14 & 26 & 1 & 35 & No & c^-1 * a * b^-1 * a, a^-1 * b * c^-1 * b & Yes & ? & 0& []& [($A_{2}(9)$, 1)] & [ 14 ] & 36 +14 & 14 & 26 & 3 & 35 & No & c^-1 * a * b^-1 * a, a^-1 * b * c^-1 * b & ? & ? & 0& []& [] & [ ] & 36 +14 & 14 & 26 & 4 & 35 & No & a^-1 * b * c * b, c * a * b^-1 * a & ? & ? & 0& []& [] & [ ] & 36 +14 & 14 & 26 & 5 & 35 & No & b * a^-1 * c * a^-1 * b^-1 * a * c^-1 * a, c^-1 * a * b * a^-1 * c * a^-1 * b^-1 * a & ? & ? & 1& []& [] & [ 3 ] & 36 +14 & 14 & 26 & 7 & 35 & No & b * a^-1 * c * a^-1 * b^-1 * a * c^-1 * a, c^-1 * a * b * a^-1 * c * a^-1 * b^-1 * a & ? & ? & 1& []& [] & [ 3 ] & 36 +14 & 16 & 16 & 0 & 27 & No & b^-1 * a * c * b * a^-1 * c^-1, b^-1 * c * a * b^-1 * c^-1 * a & ? & No & 0& [L_2(7)]& [] & [ ] & 36 +14 & 16 & 16 & 1 & 27 & No & a^-1 * b * c * a^-1 * b * a * c^-1 * a^-1 * b^-1 * a * c^-1 * b^-1, c * a^-1 * b * a * c * a^-1 * b^-1 * a * c^-1 * a^-1 * b^-1 * a & ? & ? & 1& []& [] & [ 3, 4 ] & 36 +14 & 16 & 18 & 0 & 33 & No & a * c * b^-1 * a^-1 * c * b, c^-1 * a^-1 * b^-1 * c^-1 * a * b & ? & ? & 1& []& [] & [ 3 ] & 36 +14 & 16 & 24 & 0 & 35 & Yes & & ? & No & 1& [L_2(7)]& [] & [ 3 ] & 36 +14 & 16 & 24 & 1 & 35 & Yes & & ? & ? & 1& []& [] & [ 3, 4 ] & 36 +14 & 16 & 26 & 0 & 35 & Yes & & ? & ? & 0& []& [] & [ ] & 36 +14 & 16 & 26 & 1 & 35 & Yes & & ? & No & 1& []& [] & [ 3 ] & 36 +14 & 16 & 26 & 3 & 35 & Yes & & ? & ? & 1& []& [] & [ 3 ] & 36 +14 & 16 & 26 & 7 & 35 & Yes & & ? & ? & 0& []& [] & [ ] & 36 +14 & 18 & 18 & 0 & 39 & No & a^-1 * b * c * b, c * a * b^-1 * a & ? & No & 2& []& [] & [ 3 ] & 36 +14 & 18 & 24 & 0 & 41 & No & a^-1 * b * c * b, c * a * b^-1 * a & ? & ? & 2& []& [] & [ 3 ] & 36 +14 & 18 & 26 & 0 & 41 & No & a^-1 * b * c * b, c * a * b^-1 * a & ? & ? & 1& []& [] & [ 3 ] & 36 +14 & 18 & 26 & 3 & 41 & No & c^-1 * a * b^-1 * a, a^-1 * b * c^-1 * b & ? & ? & 1& []& [] & [ 3 ] & 36 +14 & 24 & 24 & 0 & 43 & No & a^-1 * b * c * b, c * a * b^-1 * a & Yes & No & 2& [L_2(7)]& [($\textrm{Alt}_{7}$, 1), ($\textrm{Alt}_{8}$ or $A_{2}(4)$, 1), ($\textrm{J}_{2}$, 1), (${}^2A_{3}(9)$, 1)] & [ 3, 7, 8, 22, 28, 29, 31, 35, 36 ] & 36 +14 & 24 & 24 & 1 & 43 & Yes & & ? & No & 2& []& [] & [ 3, 4 ] & 36 +14 & 24 & 26 & 0 & 43 & No & a^-1 * b * c * b, c * a * b^-1 * a & ? & ? & 1& []& [] & [ 3 ] & 36 +14 & 24 & 26 & 1 & 43 & Yes & & ? & ? & 1& []& [] & [ 3 ] & 36 +14 & 24 & 26 & 3 & 43 & Yes & & ? & ? & 1& []& [] & [ 3 ] & 36 +14 & 24 & 26 & 7 & 43 & No & c^-1 * a * b^-1 * a, a^-1 * b * c^-1 * b & ? & ? & 1& []& [] & [ 3 ] & 36 +14 & 26 & 26 & 0 & 43 & No & a^-1 * b * c * b, c * a * b^-1 * a & ? & ? & 0& []& [] & [ ] & 36 +14 & 26 & 26 & 1 & 43 & Yes & & ? & ? & 1& []& [] & [ 3 ] & 36 +14 & 26 & 26 & 3 & 43 & Yes & & ? & ? & 1& []& [] & [ 3 ] & 36 +14 & 26 & 26 & 4 & 43 & Yes & & ? & ? & 1& []& [] & [ 3 ] & 36 +14 & 26 & 26 & 5 & 43 & No & c^-1 * a * b^-1 * a, a^-1 * b * c^-1 * b & ? & ? & 0& []& [] & [ 14 ] & 36 +14 & 26 & 26 & 15 & 43 & No & c^-1 * a * b^-1 * a, a^-1 * b * c^-1 * b & ? & ? & 0& []& [] & [ 13 ] & 36 +16 & 16 & 16 & 0 & 27 & No & c * a * b * a, a^-1 * b^-1 * c^-1 * b & Yes & No & 1& []& [(${}^2A_{2}(9)$, 1), ($\textrm{J}_{2}$, 1), (${}^2A_{2}(64)$, 2), ($A_{2}(9)$, 1), (${}^2A_{2}(81)$, 2)] & [ 3, 4 ] & 36 +16 & 16 & 16 & 1 & 27 & No & c * a * b * a * c^-1 * a^-1 * b^-1 * a^-1, b * a * c^-1 * a^-1 * b^-1 * a * c * a^-1 & Yes & No & 0& []& [($A_{2}(3)$, 1), (${}^2A_{2}(9)$, 2), (${}^2A_{2}(81)$, 2)] & [ 5, 29 ] & 36 +16 & 16 & 18 & 0 & 33 & No & b^-1 * a * c^-1 * b * a * c^-1, a * c^-1 * b^-1 * a * c^-1 * b & Yes & No & 1& []& [($A_{2}(3)$, 2), ($A_{2}(9)$, 3)] & [ 3, 4 ] & 36 +16 & 16 & 24 & 0 & 35 & Yes & & Yes & No & 1& []& [($\textrm{Alt}_{10}$, 1), ($A_{4}(2)$, 1)] & [ 3, 4, 10, 34, 36 ] & 36 +16 & 16 & 24 & 1 & 35 & No & b^-1 * a * c^-1 * b * a * c^-1, a * c^-1 * b^-1 * a * c^-1 * b & Yes & No & 1& []& [($\textrm{Alt}_{9}$, 1), ($\textrm{HS}_{}$, 1)] & [ 3, 4, 5, 9, 21, 29, 33, 34 ] & 36 +16 & 16 & 26 & 0 & 35 & Yes & & ? & ? & 1& []& [] & [ 3, 4 ] & 36 +16 & 16 & 26 & 1 & 35 & No & b^-1 * a * c^-1 * b * a * c^-1, a * c^-1 * b^-1 * a * c^-1 * b & ? & No & 0& [L_2(13)]& [] & [ 16, 30 ] & 36 +16 & 18 & 18 & 0 & 39 & No & b^-1 * a^-1 * c^-1 * a^-1 * b * a * c^-1 * a, c^-1 * a * b * a * c^-1 * a * b * a & Yes & No & 2& []& [($A_{2}(3)$, 2), (${}^2A_{2}(64)$, 2), ($A_{2}(9)$, 3)] & [ 3, 4 ] & 36 +16 & 18 & 24 & 0 & 41 & Yes & & Yes & No & 2& []& [($\textrm{Alt}_{10}$, 1)] & [ 3, 4, 10, 19, 34 ] & 36 +16 & 18 & 26 & 0 & 41 & Yes & & ? & ? & 1& []& [] & [ 3 ] & 36 +16 & 24 & 24 & 0 & 43 & Yes & & Yes & No & 2& []& [($\textrm{Alt}_{7}$, 1), ($\textrm{Alt}_{8}$ or $A_{2}(4)$, 2), (${}^2A_{2}(25)$, 1), ($\textrm{J}_{2}$, 1), ($C_{3}(2)$, 1), (${}^2A_{3}(9)$, 1), ($B_{2}(5)$, 1), ($\textrm{HS}_{}$, 1)] & [ 3, 4, 7, 8, 15, 18, 19, 20, 22, 23, 24, 25, 27, 28, 30, 31, 32, 33, 34, 35, 36 ] & 36 +16 & 24 & 24 & 1 & 43 & Yes & & Yes & No & 2& []& [($C_{3}(2)$, 2)] & [ 3, 4, 5, 17, 18, 19, 21, 22, 27, 29, 30, 31, 32, 33, 34, 35, 36 ] & 36 +16 & 24 & 26 & 0 & 43 & Yes & & ? & ? & 1& []& [] & [ 3, 4 ] & 36 +16 & 24 & 26 & 1 & 43 & Yes & & ? & ? & 1& [L_2(13)]& [] & [ 3 ] & 36 +16 & 26 & 26 & 0 & 43 & Yes & & ? & No & 1& []& [] & [ 3, 26 ] & 36 +16 & 26 & 26 & 1 & 43 & Yes & & ? & ? & 0& [L_2(13)]& [($A_{2}(3)$, 1)] & [ ] & 36 +16 & 26 & 26 & 3 & 43 & Yes & & Yes & No & 0& []& [($A_{2}(3)$, 2), ($G_{2}(3)$, 1)] & [ 26 ] & 36 +16 & 26 & 26 & 5 & 43 & Yes & & Yes & ? & 1& [L_2(13)]& [($A_{2}(3)$, 1), ($G_{2}(3)$, 1), ($A_{3}(3)$, 1)] & [ 3, 14, 26, 28, 29 ] & 36 +18 & 18 & 18 & 0 & 45 & No & c * a * b * a, b * a * c * a & Yes & No & 3& []& [($A_{2}(3)$, 2), ($A_{2}(9)$, 3)] & [ 3, 27, 36 ] & 36 +18 & 18 & 24 & 0 & 47 & No & c * a * b * a, b * a * c * a & Yes & No & 3& []& [($\textrm{Alt}_{10}$, 1), ($\textrm{Alt}_{11}$, 1)] & [ 3, 4, 10, 11, 12, 15, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36 ] & 36 +18 & 18 & 26 & 0 & 47 & No & c * a * b * a, b * a * c * a & Yes & No & 2& []& [($A_{2}(3)$, 2), ($A_{2}(9)$, 3)] & [ 3, 13 ] & 36 +18 & 24 & 24 & 0 & 49 & No & a^-1 * b * c * b, c * a * b^-1 * a & Yes & No & 3& []& [($\textrm{Alt}_{10}$, 1), (${}^2A_{3}(9)$, 1), ($\textrm{Alt}_{11}$, 1)] & [ 3, 4, 10, 11, 15, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36 ] & 36 +18 & 24 & 26 & 0 & 49 & No & a^-1 * b * c * b, c * a * b^-1 * a & ? & ? & 2& []& [] & [ 3, 27 ] & 36 +18 & 26 & 26 & 0 & 49 & No & a^-1 * b * c * b, c * a * b^-1 * a & Yes & No & 1& []& [($G_{2}(3)$, 2)] & [ 3, 13 ] & 36 +18 & 26 & 26 & 1 & 49 & No & a^-1 * b^-1 * c^-1 * b^-1, b * a * c^-1 * a & Yes & No & 1& []& [($A_{2}(3)$, 2), ($G_{2}(3)$, 1)] & [ 3, 13, 27 ] & 36 +24 & 24 & 24 & 0 & 51 & Yes & & Yes & No & 3& []& [($\textrm{Alt}_{7}$, 3), ($\textrm{M}_{12}$, 1), ($A_{2}(7)$, 1), ($B_{2}(5)$, 3), ($A_{4}(2)$, 1)] & [ 3, 4, 7, 13, 15, 18, 19, 20, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36 ] & 36 +24 & 24 & 24 & 1 & 51 & No & a^-1 * b^-1 * c^-1 * b^-1, b * a * c^-1 * a & Yes & No & 3& []& [($\textrm{M}_{22}$, 1), (${}^2A_{3}(9)$, 3)] & [ 3, 4, 5, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36 ] & 36 +24 & 24 & 26 & 0 & 51 & Yes & & ? & No & 2& []& [] & [ 3, 4 ] & 36 +24 & 24 & 26 & 1 & 51 & No & a^-1 * b^-1 * c^-1 * b^-1, b * a * c^-1 * a & Yes & No & 2& [L_2(13)]& [($A_{3}(3)$, 1)] & [ 3, 13, 14, 15, 16, 26, 27, 28 ] & 36 +24 & 26 & 26 & 0 & 51 & Yes & & ? & No & 1& []& [] & [ 3, 26, 28 ] & 36 +24 & 26 & 26 & 1 & 51 & No & a^-1 * b^-1 * c^-1 * b^-1, b * a * c^-1 * a & Yes & No & 1& [L_2(13)]& [($A_{2}(3)$, 2), ($A_{3}(3)$, 1)] & [ 3, 13, 14, 27 ] & 36 +24 & 26 & 26 & 3 & 51 & No & a^-1 * b^-1 * c^-1 * b^-1, b * a * c^-1 * a & ? & No & 1& []& [($A_{2}(3)$, 2)] & [ 3, 13, 14, 16, 26 ] & 36 +24 & 26 & 26 & 5 & 51 & Yes & & ? & No & 1& [L_2(13)]& [($A_{2}(3)$, 2), ($A_{3}(3)$, 1)] & [ 3, 13, 14, 26, 27, 28 ] & 36 +26 & 26 & 26 & 0 & 51 & Yes & & Yes & No & 1& []& [($A_{2}(3)$, 1), ($A_{2}(9)$, 3)] & [ 3, 26 ] & 36 +26 & 26 & 26 & 1 & 51 & No & a^-1 * b^-1 * c^-1 * b^-1, b * a * c^-1 * a & Yes & No & 0& []& [($A_{2}(3)$, 2), (${}^2A_{2}(16)$, 2), ($G_{2}(3)$, 6)] & [ 13, 26 ] & 36 +26 & 26 & 26 & 5 & 51 & Yes & & Yes & No & 1& []& [($A_{2}(3)$, 2), (${}^2A_{2}(16)$, 1)] & [ 3 ] & 36 +26 & 26 & 26 & 21 & 51 & No & b^-1 * a * c^-1 * a, a^-1 * b * c^-1 * b & Yes & No & 0& [L_2(13)]& [($A_{2}(3)$, 5), (${}^2A_{2}(16)$, 3), ($G_{2}(3)$, 1), (${}^2F_4(2)'$, 1)] & [ 13, 30 ] & 36 diff --git a/data/table_3_3_4.csv b/data/table_3_3_4.csv new file mode 100644 index 0000000..53e49d1 --- /dev/null +++ b/data/table_3_3_4.csv @@ -0,0 +1,79 @@ +order1 & order2 & order3 & index & presentation length & virtually torsion-free & Kazhdan & abelianization dimension & L2-quotients & quotients & alternating quotients & maximal order for alternating quotients +14 & 14 & 40 & 0 & 37 & Yes & No & 0& [L_2(7^2)]& [($\textrm{Alt}_{7}$, 1), ($\textrm{J}_{1}$, 2), (${}^2A_{3}(9)$, 1)] & [ 7 ] & 30 +14 & 14 & 40 & 4 & 37 & Yes & ? & 0& []& [($\textrm{Alt}_{7}$, 2), ($\textrm{M}_{22}$, 1)] & [ 7, 28 ] & 30 +14 & 14 & 48 & 0 & 29 & ? & No & 1& [L_2(7)]& [($\textrm{Alt}_{7}$, 1), (${}^2A_{2}(25)$, 1)] & [ 3, 7 ] & 30 +14 & 14 & 48 & 1 & 29 & ? & No & 1& [L_2(7)]& [($\textrm{Alt}_{8}$ or $A_{2}(4)$, 1)] & [ 3, 8 ] & 30 +14 & 14 & 48 & 4 & 29 & ? & ? & 1& []& [($\textrm{Alt}_{7}$, 1)] & [ 3, 7 ] & 30 +14 & 14 & 48 & 5 & 29 & ? & No & 1& []& [($\textrm{Alt}_{8}$ or $A_{2}(4)$, 1), ($\textrm{M}_{22}$, 1)] & [ 3, 8, 21 ] & 30 +14 & 14 & 54 & 0 & 41 & ? & ? & 1& []& [(${}^2A_{2}(9)$, 1)] & [ 3 ] & 30 +14 & 14 & 54 & 4 & 41 & ? & ? & 1& []& [] & [ 3 ] & 30 +14 & 16 & 40 & 0 & 37 & ? & ? & 0& [L_2(7^2)]& [] & [ ] & 30 +14 & 16 & 48 & 0 & 29 & ? & ? & 1& []& [] & [ 3, 4 ] & 30 +14 & 16 & 48 & 1 & 29 & ? & No & 1& [L_2(7)]& [] & [ 3 ] & 30 +14 & 16 & 54 & 0 & 41 & ? & ? & 1& []& [] & [ 3 ] & 30 +14 & 16 & 54 & 2 & 41 & ? & ? & 1& []& [] & [ 3 ] & 30 +14 & 18 & 40 & 0 & 43 & Yes & ? & 0& []& [($\textrm{J}_{2}$, 1)] & [ 21, 25 ] & 30 +14 & 18 & 48 & 0 & 35 & Yes & ? & 2& []& [($G_{2}(3)$, 1)] & [ 3 ] & 30 +14 & 18 & 54 & 0 & 47 & ? & No & 2& []& [] & [ 3 ] & 30 +14 & 18 & 54 & 2 & 47 & ? & No & 2& []& [] & [ 3, 21, 28, 29 ] & 30 +14 & 24 & 40 & 0 & 45 & Yes & ? & 0& [L_2(7^2)]& [($\textrm{Alt}_{7}$, 1), ($\textrm{Alt}_{10}$, 1), ($A_{4}(2)$, 1)] & [ 7, 10 ] & 30 +14 & 24 & 48 & 0 & 37 & ? & No & 2& []& [] & [ 3, 4 ] & 30 +14 & 24 & 48 & 1 & 37 & Yes & No & 2& [L_2(7)]& [($\textrm{Alt}_{7}$, 1), ($\textrm{Alt}_{8}$ or $A_{2}(4)$, 1), ($\textrm{J}_{2}$, 1), ($C_{3}(2)$, 1), (${}^2A_{3}(9)$, 1)] & [ 3, 7, 8, 15, 22, 28, 29 ] & 30 +14 & 24 & 54 & 0 & 49 & ? & ? & 2& []& [] & [ 3, 18 ] & 30 +14 & 24 & 54 & 2 & 49 & Yes & No & 2& []& [($C_{3}(2)$, 1), (${}^2A_{3}(9)$, 1)] & [ 3, 14, 21, 28 ] & 30 +14 & 26 & 40 & 0 & 45 & ? & ? & 0& []& [] & [ ] & 30 +14 & 26 & 40 & 4 & 45 & ? & ? & 0& []& [] & [ ] & 30 +14 & 26 & 48 & 0 & 37 & ? & ? & 1& []& [] & [ 3 ] & 30 +14 & 26 & 48 & 1 & 37 & ? & ? & 1& []& [] & [ 3 ] & 30 +14 & 26 & 48 & 4 & 37 & ? & ? & 1& []& [] & [ 3 ] & 30 +14 & 26 & 48 & 5 & 37 & ? & ? & 1& []& [] & [ 3 ] & 30 +14 & 26 & 54 & 0 & 49 & ? & ? & 1& []& [] & [ 3 ] & 30 +14 & 26 & 54 & 2 & 49 & ? & ? & 1& []& [] & [ 3 ] & 30 +14 & 26 & 54 & 4 & 49 & ? & ? & 1& []& [] & [ 3 ] & 30 +14 & 26 & 54 & 6 & 49 & ? & ? & 1& []& [] & [ 3 ] & 30 +16 & 16 & 40 & 0 & 37 & Yes & No & 0& []& [($\textrm{M}_{11}$, 1), ($B_{2}(3)$, 1), ($\textrm{J}_{2}$, 2), (${}^2A_{3}(9)$, 1), ($B_{2}(5)$, 1), ($A_{3}(3)$, 2)] & [ 5, 21, 26, 28 ] & 30 +16 & 16 & 48 & 0 & 29 & ? & No & 1& []& [($A_{2}(3)$, 1), (${}^2A_{2}(9)$, 2), ($\textrm{Alt}_{9}$, 1), (${}^2A_{2}(81)$, 2), ($\textrm{HS}_{}$, 1)] & [ 3, 4, 5, 9, 21, 26, 29, 30 ] & 30 +16 & 16 & 48 & 1 & 29 & Yes & No & 1& []& [(${}^2A_{2}(9)$, 1), ($\textrm{J}_{2}$, 1), ($\textrm{Alt}_{10}$, 1), ($B_{2}(5)$, 1), (${}^2A_{2}(64)$, 2), ($A_{4}(2)$, 1), ($A_{2}(9)$, 1), (${}^2A_{2}(81)$, 2)] & [ 3, 4, 10 ] & 30 +16 & 16 & 54 & 0 & 41 & ? & No & 1& []& [($A_{2}(3)$, 2), ($B_{2}(3)$, 1), ($A_{2}(9)$, 3)] & [ 3, 4, 18, 22, 25, 26, 27 ] & 30 +16 & 18 & 40 & 0 & 43 & Yes & No & 0& [L_2(3^2)]& [($B_{2}(3)$, 2), ($\textrm{M}_{12}$, 5)] & [ 6, 18, 24, 27, 30 ] & 30 +16 & 18 & 48 & 0 & 35 & ? & No & 2& []& [($A_{2}(3)$, 2), ($\textrm{Alt}_{10}$, 1), ($A_{2}(9)$, 3)] & [ 3, 4, 10, 17, 19, 30 ] & 30 +16 & 18 & 54 & 0 & 47 & ? & No & 2& []& [($A_{2}(3)$, 2), (${}^2A_{2}(64)$, 2), ($A_{2}(9)$, 3)] & [ 3, 4, 25, 26, 27 ] & 30 +16 & 18 & 54 & 2 & 47 & ? & No & 2& []& [($A_{2}(3)$, 2), (${}^2A_{2}(64)$, 2), ($A_{2}(9)$, 3)] & [ 3, 4, 20, 21, 22, 24, 25, 26, 27, 29, 30 ] & 30 +16 & 24 & 40 & 0 & 45 & Yes & No & 0& [L_2(3^2)]& [($B_{2}(5)$, 2), ($A_{4}(2)$, 3), ($\textrm{Alt}_{11}$, 2)] & [ 5, 6, 11, 21, 22 ] & 30 +16 & 24 & 48 & 0 & 37 & ? & No & 2& []& [($\textrm{Alt}_{9}$, 1), ($C_{3}(2)$, 5), ($\textrm{HS}_{}$, 1)] & [ 3, 4, 5, 9, 14, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +16 & 24 & 48 & 1 & 37 & Yes & No & 2& []& [($\textrm{Alt}_{7}$, 1), ($\textrm{Alt}_{8}$ or $A_{2}(4)$, 2), (${}^2A_{2}(25)$, 1), ($\textrm{J}_{2}$, 1), ($C_{3}(2)$, 2), ($\textrm{Alt}_{10}$, 1), (${}^2A_{3}(9)$, 1), ($B_{2}(5)$, 1), ($A_{4}(2)$, 1), ($\textrm{HS}_{}$, 1)] & [ 3, 4, 7, 8, 10, 12, 15, 16, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +16 & 24 & 54 & 0 & 49 & Yes & No & 2& []& [($\textrm{Alt}_{9}$, 1), ($C_{3}(2)$, 1), ($\textrm{Alt}_{10}$, 1)] & [ 3, 4, 9, 10, 12, 18, 19, 21, 25, 27, 28, 29, 30 ] & 30 +16 & 24 & 54 & 2 & 49 & ? & No & 2& []& [($B_{2}(3)$, 1), ($\textrm{Alt}_{10}$, 3)] & [ 3, 4, 10, 12, 14, 16, 19, 20, 22, 23, 24, 26, 27, 28, 30 ] & 30 +16 & 26 & 40 & 0 & 45 & ? & ? & 0& [L_2(13^2)]& [(${}^2F_4(2)'$, 1)] & [ ] & 30 +16 & 26 & 48 & 0 & 37 & ? & No & 1& [L_2(13)]& [] & [ 3, 16, 30 ] & 30 +16 & 26 & 48 & 1 & 37 & ? & ? & 1& []& [] & [ 3, 4 ] & 30 +16 & 26 & 54 & 0 & 49 & ? & ? & 1& []& [] & [ 3 ] & 30 +16 & 26 & 54 & 2 & 49 & ? & ? & 1& []& [] & [ 3, 28 ] & 30 +18 & 18 & 40 & 0 & 49 & Yes & No & 1& []& [($\textrm{M}_{12}$, 2), ($A_{3}(3)$, 4)] & [ 3, 5, 12, 17, 18, 19, 20, 21, 22, 24, 26, 27, 29, 30 ] & 30 +18 & 18 & 48 & 0 & 41 & ? & No & 3& []& [($A_{2}(3)$, 2), ($\textrm{Alt}_{10}$, 1), (${}^2A_{2}(64)$, 2), ($\textrm{Alt}_{11}$, 1), ($A_{2}(9)$, 3)] & [ 3, 4, 10, 11, 12, 15, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30 ] & 30 +18 & 18 & 54 & 0 & 53 & ? & No & 3& []& [($A_{2}(3)$, 2), ($A_{2}(9)$, 3)] & [ 3, 19, 22, 24, 25, 26, 27, 28, 29, 30 ] & 30 +18 & 24 & 40 & 0 & 51 & Yes & No & 1& [L_2(3^2)]& [($\textrm{M}_{12}$, 6), ($\textrm{Alt}_{10}$, 2), (${}^2A_{3}(9)$, 2), ($A_{3}(3)$, 3), ($\textrm{Alt}_{11}$, 4)] & [ 3, 5, 6, 10, 11, 12, 15, 16, 17, 18, 21, 22, 23, 24, 25, 26, 27, 28, 30 ] & 30 +18 & 24 & 48 & 0 & 43 & Yes & No & 3& []& [($\textrm{Alt}_{10}$, 2), (${}^2A_{3}(9)$, 1), ($A_{3}(3)$, 2), ($\textrm{Alt}_{11}$, 1)] & [ 3, 4, 10, 11, 12, 13, 15, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +18 & 24 & 54 & 0 & 55 & Yes & No & 3& []& [($\textrm{Alt}_{10}$, 2), ($A_{3}(3)$, 4), ($\textrm{Alt}_{11}$, 2)] & [ 3, 4, 10, 11, 12, 15, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +18 & 24 & 54 & 2 & 55 & Yes & No & 3& []& [($\textrm{Alt}_{9}$, 2), ($\textrm{Alt}_{10}$, 1), ($\textrm{Alt}_{11}$, 1)] & [ 3, 4, 9, 10, 11, 12, 15, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30 ] & 30 +18 & 26 & 40 & 0 & 51 & ? & ? & 0& []& [] & [ ] & 30 +18 & 26 & 48 & 0 & 43 & Yes & ? & 2& []& [($G_{2}(3)$, 1)] & [ 3, 27 ] & 30 +18 & 26 & 54 & 0 & 55 & ? & No & 2& []& [($A_{2}(3)$, 2), ($A_{2}(9)$, 3)] & [ 3, 13, 26, 27 ] & 30 +18 & 26 & 54 & 2 & 55 & ? & No & 2& []& [($A_{2}(3)$, 2), ($A_{2}(9)$, 3)] & [ 3, 13 ] & 30 +24 & 24 & 40 & 0 & 53 & Yes & No & 1& [L_2(3^2), L_2(3^2)]& [($\textrm{Alt}_{7}$, 2), ($\textrm{M}_{22}$, 2), ($\textrm{J}_{2}$, 4), ($C_{2}(4)$, 4), ($C_{3}(2)$, 1), ($B_{2}(5)$, 8), ($A_{3}(3)$, 1), ($A_{4}(2)$, 2)] & [ 3, 5, 6, 7, 12, 13, 15, 16, 17, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +24 & 24 & 48 & 0 & 45 & Yes & No & 3& []& [($\textrm{M}_{22}$, 1), ($C_{3}(2)$, 6), (${}^2A_{3}(9)$, 5), ($B_{2}(5)$, 2), ($A_{3}(3)$, 1)] & [ 3, 4, 5, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +24 & 24 & 48 & 1 & 45 & Yes & No & 3& []& [($\textrm{Alt}_{7}$, 3), ($\textrm{Alt}_{8}$ or $A_{2}(4)$, 2), ($\textrm{M}_{12}$, 1), (${}^2A_{2}(25)$, 1), ($\textrm{J}_{2}$, 1), ($C_{3}(2)$, 3), ($A_{2}(7)$, 1), (${}^2A_{3}(9)$, 1), ($B_{2}(5)$, 3), ($A_{4}(2)$, 1), (${}^2A_{4}(4)$, 2), ($\textrm{HS}_{}$, 1)] & [ 3, 4, 7, 8, 13, 14, 15, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +24 & 24 & 54 & 0 & 57 & Yes & No & 3& []& [($\textrm{Alt}_{9}$, 3), ($\textrm{Alt}_{10}$, 4), (${}^2A_{3}(9)$, 1), ($\textrm{Alt}_{11}$, 2)] & [ 3, 4, 9, 10, 11, 12, 13, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +24 & 26 & 40 & 0 & 53 & ? & ? & 0& [L_2(13^2)]& [] & [ ] & 30 +24 & 26 & 48 & 0 & 45 & ? & No & 2& [L_2(13)]& [($A_{3}(3)$, 1)] & [ 3, 13, 14, 15, 16, 26, 27, 28, 29, 30 ] & 30 +24 & 26 & 48 & 1 & 45 & ? & No & 2& []& [] & [ 3, 4, 14, 28 ] & 30 +24 & 26 & 54 & 0 & 57 & Yes & No & 2& []& [($A_{3}(3)$, 1)] & [ 3, 13, 26, 27, 28 ] & 30 +24 & 26 & 54 & 2 & 57 & ? & ? & 2& []& [] & [ 3, 13, 27 ] & 30 +26 & 26 & 40 & 0 & 53 & ? & ? & 0& []& [] & [ 13 ] & 30 +26 & 26 & 40 & 4 & 53 & Yes & ? & 0& [L_2(13^2)]& [(${}^2A_{2}(16)$, 1), ($A_{3}(3)$, 1)] & [ 13, 26 ] & 30 +26 & 26 & 48 & 0 & 45 & ? & No & 1& []& [($A_{2}(3)$, 2), ($G_{2}(3)$, 1)] & [ 3, 13, 14, 16, 26 ] & 30 +26 & 26 & 48 & 1 & 45 & ? & No & 1& []& [] & [ 3, 26, 28 ] & 30 +26 & 26 & 48 & 4 & 45 & ? & No & 1& [L_2(13)]& [($A_{2}(3)$, 2), ($G_{2}(3)$, 1), ($A_{3}(3)$, 1)] & [ 3, 13, 14, 26, 27, 28, 29 ] & 30 +26 & 26 & 48 & 5 & 45 & ? & No & 1& [L_2(13)]& [($A_{2}(3)$, 2), ($A_{3}(3)$, 1)] & [ 3, 13, 14, 27 ] & 30 +26 & 26 & 54 & 0 & 57 & ? & No & 1& []& [($G_{2}(3)$, 2)] & [ 3, 13 ] & 30 +26 & 26 & 54 & 4 & 57 & ? & No & 1& []& [($A_{2}(3)$, 2), ($G_{2}(3)$, 1)] & [ 3, 13, 27 ] & 30 diff --git a/data/table_3_4_4.csv b/data/table_3_4_4.csv new file mode 100644 index 0000000..cf9f028 --- /dev/null +++ b/data/table_3_4_4.csv @@ -0,0 +1,55 @@ +order1 & order2 & order3 & index & presentation length & virtually torsion-free & Kazhdan & abelianization dimension & L2-quotients & quotients & alternating quotients & maximal order for alternating quotients +14 & 40 & 40 & 0 & 47 & Yes & No & 0& [L_2(7^2)]& [($\textrm{Alt}_{8}$ or $A_{2}(4)$, 5), ($C_{3}(2)$, 2), ($\textrm{Alt}_{10}$, 4), (${}^2A_{3}(9)$, 2), ($A_{4}(2)$, 3), ($\textrm{Alt}_{11}$, 3), ($A_{2}(9)$, 1)] & [ 5, 10, 11, 20, 21, 30 ] & 30 +14 & 40 & 48 & 0 & 39 & ? & ? & 0& [L_2(7^2)]& [($\textrm{Alt}_{7}$, 1), ($\textrm{Alt}_{10}$, 1), ($A_{4}(2)$, 1)] & [ 7, 10 ] & 30 +14 & 40 & 54 & 0 & 51 & Yes & ? & 0& []& [($\textrm{J}_{2}$, 1), ($C_{3}(2)$, 2)] & [ 21, 25 ] & 30 +14 & 40 & 54 & 2 & 51 & Yes & ? & 0& []& [($\textrm{J}_{2}$, 1), ($C_{3}(2)$, 2)] & [ 20, 21, 22, 25, 27, 30 ] & 30 +14 & 48 & 48 & 0 & 31 & Yes & No & 2& [L_2(7)]& [($\textrm{Alt}_{7}$, 1), ($\textrm{Alt}_{8}$ or $A_{2}(4)$, 1), ($\textrm{J}_{2}$, 1), ($C_{3}(2)$, 2), (${}^2A_{3}(9)$, 1), ($G_{2}(3)$, 2)] & [ 3, 7, 8, 15, 16, 22, 23, 24, 27, 28, 29, 30 ] & 30 +14 & 48 & 48 & 1 & 31 & ? & No & 2& []& [] & [ 3, 4 ] & 30 +14 & 48 & 54 & 0 & 43 & ? & ? & 2& []& [($G_{2}(3)$, 1)] & [ 3, 18 ] & 30 +14 & 48 & 54 & 2 & 43 & Yes & No & 2& []& [($C_{3}(2)$, 3), (${}^2A_{3}(9)$, 1), ($G_{2}(3)$, 1)] & [ 3, 14, 15, 21, 22, 28, 29, 30 ] & 30 +14 & 54 & 54 & 0 & 55 & ? & No & 2& []& [] & [ 3, 21, 28, 29 ] & 30 +14 & 54 & 54 & 2 & 55 & Yes & No & 2& []& [($\textrm{Alt}_{10}$, 6), (${}^2A_{3}(9)$, 2)] & [ 3, 10, 13, 14, 17, 19, 20, 21, 23, 24, 27, 28, 29, 30 ] & 30 +14 & 54 & 54 & 8 & 55 & ? & No & 2& []& [] & [ 3, 18, 21, 27, 30 ] & 30 +16 & 40 & 40 & 0 & 47 & Yes & No & 0& [L_2(\infty^4)]& [($\textrm{M}_{11}$, 4), ($B_{2}(3)$, 7), (${}^2A_{2}(25)$, 1), ($\textrm{J}_{2}$, 2), ($C_{2}(4)$, 2), ($\textrm{Alt}_{10}$, 4), (${}^2A_{3}(9)$, 4), ($B_{2}(5)$, 11), ($A_{3}(3)$, 2), ($\textrm{Alt}_{11}$, 6)] & [ 5, 6, 10, 11, 15, 16, 17, 20, 21, 22, 24, 25, 26, 27, 28, 29, 30 ] & 30 +16 & 40 & 48 & 0 & 39 & ? & No & 0& [L_2(3^2)]& [($\textrm{M}_{11}$, 1), ($B_{2}(3)$, 1), ($\textrm{J}_{2}$, 2), (${}^2A_{3}(9)$, 1), ($B_{2}(5)$, 5), ($A_{3}(3)$, 2), ($A_{4}(2)$, 3), ($\textrm{Alt}_{11}$, 2)] & [ 5, 6, 11, 16, 18, 21, 22, 23, 24, 26, 27, 28, 29, 30 ] & 30 +16 & 40 & 54 & 0 & 51 & Yes & No & 0& [L_2(3^2)]& [($B_{2}(3)$, 5), ($\textrm{M}_{12}$, 5), ($C_{3}(2)$, 1), (${}^2A_{3}(9)$, 2), ($A_{3}(3)$, 3), (${}^2A_{4}(4)$, 1)] & [ 6, 12, 17, 18, 21, 23, 24, 26, 27, 28, 29, 30 ] & 30 +16 & 40 & 54 & 2 & 51 & Yes & No & 0& [L_2(3^2)]& [($B_{2}(3)$, 4), ($\textrm{M}_{12}$, 5), ($\textrm{Alt}_{10}$, 3), (${}^2A_{3}(9)$, 4), ($A_{3}(3)$, 4), (${}^2A_{4}(4)$, 1)] & [ 6, 10, 12, 15, 16, 18, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +16 & 48 & 48 & 0 & 31 & Yes & No & 2& []& [($\textrm{Alt}_{7}$, 1), (${}^2A_{2}(9)$, 1), ($\textrm{Alt}_{8}$ or $A_{2}(4)$, 2), ($B_{2}(3)$, 5), (${}^2A_{2}(25)$, 1), ($\textrm{J}_{2}$, 2), ($C_{3}(2)$, 5), ($\textrm{Alt}_{10}$, 2), (${}^2A_{3}(9)$, 4), ($B_{2}(5)$, 5), (${}^2A_{2}(64)$, 2), ($A_{3}(3)$, 5), ($A_{4}(2)$, 2), ($\textrm{Alt}_{11}$, 1), ($A_{2}(9)$, 1), (${}^2A_{2}(81)$, 2), ($\textrm{HS}_{}$, 1)] & [ 3, 4, 7, 8, 10, 11, 12, 15, 16, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +16 & 48 & 48 & 1 & 31 & Yes & No & 2& []& [($A_{2}(3)$, 1), (${}^2A_{2}(9)$, 2), ($B_{2}(3)$, 8), ($\textrm{Alt}_{9}$, 2), ($C_{3}(2)$, 10), (${}^2A_{3}(9)$, 1), ($A_{3}(3)$, 6), ($\textrm{Alt}_{11}$, 1), (${}^2A_{2}(81)$, 2), ($\textrm{HS}_{}$, 2)] & [ 3, 4, 5, 9, 11, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +16 & 48 & 54 & 0 & 43 & Yes & No & 2& []& [($A_{2}(3)$, 2), ($B_{2}(3)$, 4), ($\textrm{Alt}_{9}$, 1), ($C_{3}(2)$, 1), ($\textrm{Alt}_{10}$, 1), (${}^2A_{3}(9)$, 3), ($A_{3}(3)$, 1), (${}^2A_{4}(4)$, 1), ($A_{2}(9)$, 3)] & [ 3, 4, 9, 10, 12, 17, 18, 19, 21, 22, 24, 25, 26, 27, 28, 29, 30 ] & 30 +16 & 48 & 54 & 2 & 43 & Yes & No & 2& []& [($A_{2}(3)$, 2), ($B_{2}(3)$, 4), ($C_{3}(2)$, 1), ($\textrm{Alt}_{10}$, 3), (${}^2A_{3}(9)$, 2), ($A_{3}(3)$, 3), (${}^2A_{4}(4)$, 5), ($A_{2}(9)$, 3)] & [ 3, 4, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +16 & 54 & 54 & 0 & 55 & Yes & No & 2& []& [($A_{2}(3)$, 2), (${}^2A_{2}(64)$, 2), (${}^2A_{4}(4)$, 2), ($A_{2}(9)$, 3)] & [ 3, 4, 20, 21, 22, 24, 25, 26, 27, 29, 30 ] & 30 +16 & 54 & 54 & 2 & 55 & Yes & No & 2& []& [($A_{2}(3)$, 2), ($B_{2}(3)$, 6), ($\textrm{Alt}_{9}$, 2), ($C_{3}(2)$, 4), ($\textrm{Alt}_{10}$, 12), (${}^2A_{3}(9)$, 3), (${}^2A_{2}(64)$, 2), ($A_{3}(3)$, 5), (${}^2A_{4}(4)$, 5), ($\textrm{Alt}_{11}$, 6), ($A_{2}(9)$, 3)] & [ 3, 4, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +16 & 54 & 54 & 8 & 55 & Yes & No & 2& []& [($A_{2}(3)$, 2), ($B_{2}(3)$, 4), ($\textrm{Alt}_{9}$, 2), (${}^2A_{3}(9)$, 3), (${}^2A_{2}(64)$, 2), ($A_{3}(3)$, 7), (${}^2A_{4}(4)$, 3), ($A_{2}(9)$, 3)] & [ 3, 4, 9, 12, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +18 & 40 & 40 & 0 & 53 & Yes & No & 0& []& [($\textrm{Alt}_{7}$, 2), ($B_{2}(3)$, 5), ($\textrm{M}_{12}$, 2), ($\textrm{Alt}_{10}$, 8), (${}^2A_{3}(9)$, 1), (${}^2A_{4}(4)$, 3)] & [ 5, 7, 10, 15, 17, 20, 21, 22, 24, 25, 26, 27, 30 ] & 30 +18 & 40 & 48 & 0 & 45 & Yes & No & 1& [L_2(3^2)]& [($B_{2}(3)$, 5), ($\textrm{M}_{12}$, 7), ($\textrm{Alt}_{10}$, 2), (${}^2A_{3}(9)$, 4), ($A_{3}(3)$, 10), ($\textrm{Alt}_{11}$, 5)] & [ 3, 5, 6, 10, 11, 12, 14, 15, 16, 17, 18, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +18 & 40 & 54 & 0 & 57 & ? & No & 1& []& [($B_{2}(3)$, 2), ($\textrm{M}_{12}$, 2), ($\textrm{Alt}_{10}$, 4), ($A_{3}(3)$, 14), (${}^2A_{4}(4)$, 3)] & [ 3, 5, 10, 12, 15, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 30 ] & 30 +18 & 40 & 54 & 2 & 57 & Yes & No & 1& []& [($B_{2}(3)$, 2), ($\textrm{M}_{12}$, 2), ($\textrm{Alt}_{9}$, 2), (${}^2A_{3}(9)$, 3), ($A_{3}(3)$, 5), (${}^2A_{4}(4)$, 4)] & [ 3, 5, 9, 12, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +18 & 48 & 48 & 0 & 37 & Yes & No & 3& []& [($A_{2}(3)$, 2), ($B_{2}(3)$, 3), ($\textrm{Alt}_{10}$, 3), (${}^2A_{3}(9)$, 4), ($A_{3}(3)$, 9), ($\textrm{Alt}_{11}$, 2), ($A_{2}(9)$, 3)] & [ 3, 4, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +18 & 48 & 54 & 0 & 49 & Yes & No & 3& []& [($A_{2}(3)$, 2), ($B_{2}(3)$, 2), ($\textrm{Alt}_{10}$, 2), (${}^2A_{2}(64)$, 2), ($A_{3}(3)$, 8), ($\textrm{Alt}_{11}$, 4), ($A_{2}(9)$, 3)] & [ 3, 4, 10, 11, 12, 14, 15, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +18 & 48 & 54 & 2 & 49 & Yes & No & 3& []& [($A_{2}(3)$, 2), ($B_{2}(3)$, 2), ($\textrm{Alt}_{9}$, 2), ($\textrm{Alt}_{10}$, 1), (${}^2A_{3}(9)$, 3), (${}^2A_{2}(64)$, 2), ($A_{3}(3)$, 1), (${}^2A_{4}(4)$, 3), ($\textrm{Alt}_{11}$, 1), ($A_{2}(9)$, 3)] & [ 3, 4, 9, 10, 11, 12, 13, 15, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +18 & 54 & 54 & 0 & 61 & ? & No & 3& []& [($A_{2}(3)$, 2), ($\textrm{Alt}_{9}$, 2), (${}^2A_{4}(4)$, 2), ($A_{2}(9)$, 3)] & [ 3, 9, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +18 & 54 & 54 & 2 & 61 & Yes & No & 3& []& [($A_{2}(3)$, 2), ($B_{2}(3)$, 2), ($\textrm{Alt}_{9}$, 10), (${}^2A_{3}(9)$, 3), ($A_{3}(3)$, 1), (${}^2A_{4}(4)$, 9), ($A_{2}(9)$, 3)] & [ 3, 9, 12, 15, 18, 19, 21, 22, 24, 25, 26, 27, 28, 29, 30 ] & 30 +18 & 54 & 54 & 8 & 61 & Yes & No & 3& []& [($A_{2}(3)$, 2), ($B_{2}(3)$, 2), ($\textrm{Alt}_{9}$, 8), ($A_{3}(3)$, 10), (${}^2A_{4}(4)$, 4), ($A_{2}(9)$, 3)] & [ 3, 9, 12, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +24 & 40 & 40 & 0 & 55 & Yes & No & 0& [L_2(\infty^4)]& [($\textrm{Alt}_{7}$, 2), ($B_{2}(3)$, 2), ($\textrm{M}_{22}$, 2), ($\textrm{J}_{2}$, 2), ($C_{2}(4)$, 2), ($C_{3}(2)$, 2), ($\textrm{Alt}_{10}$, 2), ($B_{2}(5)$, 10), ($A_{4}(2)$, 4), (${}^2A_{4}(4)$, 4), ($\textrm{Alt}_{11}$, 3)] & [ 5, 6, 7, 10, 11, 12, 15, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +24 & 40 & 48 & 0 & 47 & Yes & No & 1& [L_2(3^2), L_2(3^2)]& [($\textrm{Alt}_{7}$, 2), ($B_{2}(3)$, 3), ($\textrm{M}_{22}$, 2), ($\textrm{J}_{2}$, 4), ($C_{2}(4)$, 4), ($C_{3}(2)$, 3), ($B_{2}(5)$, 12), ($A_{3}(3)$, 2), ($A_{4}(2)$, 5), (${}^2A_{4}(4)$, 1), ($\textrm{Alt}_{11}$, 4)] & [ 3, 5, 6, 7, 11, 12, 13, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +24 & 40 & 54 & 0 & 59 & Yes & No & 1& [L_2(3^2)]& [($B_{2}(3)$, 4), ($\textrm{M}_{12}$, 6), ($\textrm{Alt}_{10}$, 12), (${}^2A_{3}(9)$, 2), ($A_{3}(3)$, 3), (${}^2A_{4}(4)$, 4), ($\textrm{Alt}_{11}$, 12)] & [ 3, 5, 6, 10, 11, 12, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +24 & 40 & 54 & 2 & 59 & Yes & No & 1& [L_2(3^2)]& [($B_{2}(3)$, 2), ($\textrm{M}_{12}$, 6), ($\textrm{Alt}_{9}$, 2), ($C_{3}(2)$, 4), ($\textrm{Alt}_{10}$, 7), (${}^2A_{3}(9)$, 6), ($A_{3}(3)$, 7), (${}^2A_{4}(4)$, 1), ($\textrm{Alt}_{11}$, 6)] & [ 3, 5, 6, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +24 & 48 & 48 & 0 & 39 & Yes & No & 3& []& [($\textrm{Alt}_{7}$, 3), ($\textrm{Alt}_{8}$ or $A_{2}(4)$, 4), ($B_{2}(3)$, 3), ($\textrm{M}_{12}$, 1), (${}^2A_{2}(25)$, 2), ($\textrm{J}_{2}$, 2), ($C_{3}(2)$, 11), ($\textrm{Alt}_{10}$, 1), ($A_{2}(7)$, 1), (${}^2A_{3}(9)$, 3), ($B_{2}(5)$, 7), ($A_{3}(3)$, 1), ($A_{4}(2)$, 2), (${}^2A_{4}(4)$, 13), ($\textrm{Alt}_{11}$, 1), ($\textrm{HS}_{}$, 2)] & [ 3, 4, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +24 & 48 & 48 & 1 & 39 & Yes & No & 3& []& [($B_{2}(3)$, 4), ($\textrm{Alt}_{9}$, 1), ($\textrm{M}_{22}$, 1), ($C_{3}(2)$, 17), (${}^2A_{3}(9)$, 8), ($B_{2}(5)$, 5), ($A_{3}(3)$, 3), (${}^2A_{4}(4)$, 8), ($\textrm{Alt}_{11}$, 1), ($\textrm{HS}_{}$, 1)] & [ 3, 4, 5, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +24 & 48 & 54 & 0 & 51 & Yes & No & 3& []& [($B_{2}(3)$, 4), ($\textrm{Alt}_{9}$, 3), ($\textrm{Alt}_{10}$, 5), (${}^2A_{3}(9)$, 1), ($A_{3}(3)$, 2), (${}^2A_{4}(4)$, 3), ($\textrm{Alt}_{11}$, 4)] & [ 3, 4, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +24 & 48 & 54 & 2 & 51 & ? & No & 3& []& [($B_{2}(3)$, 2), ($\textrm{Alt}_{9}$, 3), ($C_{3}(2)$, 3), ($\textrm{Alt}_{10}$, 5), (${}^2A_{3}(9)$, 5), ($A_{3}(3)$, 10), (${}^2A_{4}(4)$, 12), ($\textrm{Alt}_{11}$, 2)] & [ 3, 4, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +24 & 54 & 54 & 0 & 63 & ? & No & 3& []& [($\textrm{Alt}_{9}$, 6), ($\textrm{Alt}_{10}$, 2), ($A_{3}(3)$, 4), (${}^2A_{4}(4)$, 8), ($\textrm{Alt}_{11}$, 2)] & [ 3, 4, 9, 10, 11, 12, 15, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +24 & 54 & 54 & 2 & 63 & ? & No & 3& []& [($B_{2}(3)$, 2), ($\textrm{Alt}_{9}$, 9), ($C_{3}(2)$, 6), ($\textrm{Alt}_{10}$, 22), (${}^2A_{3}(9)$, 8), ($A_{3}(3)$, 26), (${}^2A_{4}(4)$, 12), ($\textrm{Alt}_{11}$, 12)] & [ 3, 4, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +24 & 54 & 54 & 8 & 63 & Yes & No & 3& []& [($B_{2}(3)$, 4), ($\textrm{Alt}_{9}$, 14), ($\textrm{Alt}_{10}$, 1), (${}^2A_{4}(4)$, 9), ($\textrm{Alt}_{11}$, 1)] & [ 3, 4, 9, 10, 11, 12, 15, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ] & 30 +26 & 40 & 40 & 0 & 55 & Yes & No & 0& [L_2(13^2)]& [($A_{3}(3)$, 3)] & [ 5, 20, 21, 27, 28 ] & 30 +26 & 40 & 48 & 0 & 47 & ? & ? & 0& [L_2(13^2)]& [(${}^2F_4(2)'$, 1)] & [ ] & 30 +26 & 40 & 54 & 0 & 59 & Yes & ? & 0& []& [($A_{3}(3)$, 3)] & [ 30 ] & 30 +26 & 40 & 54 & 2 & 59 & ? & ? & 0& []& [] & [ 15 ] & 30 +26 & 48 & 48 & 0 & 39 & Yes & No & 2& []& [($G_{2}(3)$, 1)] & [ 3, 4, 14, 28 ] & 30 +26 & 48 & 48 & 1 & 39 & Yes & No & 2& [L_2(13)]& [($G_{2}(3)$, 4), ($A_{3}(3)$, 1)] & [ 3, 13, 14, 15, 16, 26, 27, 28, 29, 30 ] & 30 +26 & 48 & 54 & 0 & 51 & ? & ? & 2& []& [($G_{2}(3)$, 1)] & [ 3, 13, 26, 27, 28 ] & 30 +26 & 48 & 54 & 2 & 51 & ? & No & 2& []& [($G_{2}(3)$, 1), ($A_{3}(3)$, 1)] & [ 3, 13, 26, 27, 28, 29 ] & 30 +26 & 54 & 54 & 0 & 63 & ? & No & 2& []& [($A_{2}(3)$, 2), ($A_{2}(9)$, 3)] & [ 3, 13, 26, 27, 30 ] & 30 +26 & 54 & 54 & 2 & 63 & Yes & No & 2& []& [($A_{2}(3)$, 2), ($A_{3}(3)$, 20), ($A_{2}(9)$, 3)] & [ 3, 13, 16, 19, 22, 25, 26, 27, 28, 29, 30 ] & 30 +26 & 54 & 54 & 8 & 63 & Yes & ? & 2& []& [($A_{2}(3)$, 2), ($A_{3}(3)$, 6), ($A_{2}(9)$, 3)] & [ 3, 13 ] & 30 diff --git a/data/table_4_4_4.csv b/data/table_4_4_4.csv new file mode 100644 index 0000000..2e5d9b5 --- /dev/null +++ b/data/table_4_4_4.csv @@ -0,0 +1,18 @@ +order1 & order2 & order3 & index & presentation length & virtually torsion-free & Kazhdan & abelianization dimension & L2-quotients & quotients & alternating quotients & maximal order for alternating quotients +40 & 40 & 40 & 0 & 57 & Yes & No & 0& [L_2(\infty^4), L_2(\infty^4), L_2(\infty^4), L_2(\infty^4)]& [($\textrm{Alt}_{7}$, 1), ($B_{2}(3)$, 18), ($\textrm{M}_{12}$, 7), (${}^2A_{2}(25)$, 2), ($\textrm{J}_{1}$, 4), ($A_{2}(5)$, 2), ($\textrm{J}_{2}$, 8), ($C_{2}(4)$, 21), ($\textrm{Alt}_{10}$, 15), (${}^2A_{3}(9)$, 12), ($B_{2}(5)$, 90), ($A_{3}(3)$, 7), ($\textrm{HS}_{}$, 12)] & [ 6, 7, 10, 12, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40 ] & 40 +40 & 40 & 48 & 0 & 49 & Yes & No & 0& [L_2(\infty^4)]& [($\textrm{Alt}_{7}$, 2), ($\textrm{M}_{11}$, 4), ($B_{2}(3)$, 8), (${}^2A_{2}(25)$, 1), ($\textrm{M}_{22}$, 2), ($\textrm{J}_{2}$, 4), ($C_{2}(4)$, 2), ($C_{3}(2)$, 2), ($\textrm{Alt}_{10}$, 4), (${}^2A_{3}(9)$, 4), ($B_{2}(5)$, 16), ($A_{3}(3)$, 2), ($A_{4}(2)$, 4), (${}^2A_{4}(4)$, 10), ($\textrm{Alt}_{11}$, 7)] & [ 5, 6, 7, 10, 11, 12, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40 ] & 40 +40 & 40 & 54 & 0 & 61 & Yes & No & 0& []& [($\textrm{Alt}_{7}$, 2), ($B_{2}(3)$, 5), ($\textrm{M}_{12}$, 2), ($\textrm{Alt}_{10}$, 8), (${}^2A_{3}(9)$, 15), ($A_{3}(3)$, 4), (${}^2A_{4}(4)$, 7)] & [ 5, 7, 10, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40 ] & 40 +40 & 48 & 48 & 0 & 41 & Yes & No & 1& [L_2(3^2), L_2(3^2)]& [($\textrm{Alt}_{7}$, 2), ($\textrm{M}_{11}$, 1), ($B_{2}(3)$, 18), ($\textrm{M}_{22}$, 2), ($\textrm{J}_{2}$, 6), ($C_{2}(4)$, 4), ($C_{3}(2)$, 6), (${}^2A_{3}(9)$, 10), ($B_{2}(5)$, 20), ($A_{3}(3)$, 15), ($A_{4}(2)$, 8), (${}^2A_{4}(4)$, 15), ($\textrm{Alt}_{11}$, 9)] & [ 3, 5, 6, 7, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40 ] & 40 +40 & 48 & 54 & 0 & 53 & Yes & No & 1& [L_2(3^2)]& [($B_{2}(3)$, 11), ($\textrm{M}_{12}$, 7), ($\textrm{Alt}_{9}$, 2), ($C_{3}(2)$, 4), ($\textrm{Alt}_{10}$, 7), (${}^2A_{3}(9)$, 14), ($A_{3}(3)$, 16), (${}^2A_{4}(4)$, 3), ($\textrm{Alt}_{11}$, 7)] & [ 3, 5, 6, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40 ] & 40 +40 & 48 & 54 & 2 & 53 & Yes & No & 1& [L_2(3^2)]& [($B_{2}(3)$, 17), ($\textrm{M}_{12}$, 7), ($C_{3}(2)$, 2), ($\textrm{Alt}_{10}$, 12), (${}^2A_{3}(9)$, 20), ($A_{3}(3)$, 22), (${}^2A_{4}(4)$, 24), ($\textrm{Alt}_{11}$, 15)] & [ 3, 5, 6, 10, 11, 12, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40 ] & 40 +40 & 54 & 54 & 0 & 65 & Yes & No & 1& []& [($B_{2}(3)$, 8), ($\textrm{M}_{12}$, 2), ($\textrm{Alt}_{9}$, 2), ($\textrm{Alt}_{10}$, 4), (${}^2A_{3}(9)$, 9), ($A_{3}(3)$, 17), (${}^2A_{4}(4)$, 7)] & [ 3, 5, 9, 10, 12, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40 ] & 40 +40 & 54 & 54 & 2 & 65 & Yes & No & 1& []& [($B_{2}(3)$, 12), ($\textrm{M}_{12}$, 2), ($C_{3}(2)$, 4), ($\textrm{Alt}_{10}$, 16), (${}^2A_{3}(9)$, 14), ($A_{3}(3)$, 26), (${}^2A_{4}(4)$, 40), ($\textrm{Alt}_{11}$, 10)] & [ 3, 5, 10, 11, 12, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40 ] & 40 +40 & 54 & 54 & 8 & 65 & Yes & No & 1& []& [($B_{2}(3)$, 8), ($\textrm{M}_{12}$, 2), ($\textrm{Alt}_{9}$, 12), (${}^2A_{3}(9)$, 12), ($A_{3}(3)$, 8), (${}^2A_{4}(4)$, 16)] & [ 3, 5, 9, 12, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40 ] & 40 +48 & 48 & 48 & 0 & 33 & ? & No & 3& []& [($A_{2}(3)$, 1), (${}^2A_{2}(9)$, 2), ($B_{2}(3)$, 27), ($\textrm{Alt}_{9}$, 3), ($\textrm{M}_{22}$, 1), ($C_{3}(2)$, 39), (${}^2A_{3}(9)$, 21), ($B_{2}(5)$, 9), ($A_{3}(3)$, 33), (${}^2A_{4}(4)$, 60), ($\textrm{Alt}_{11}$, 3), (${}^2A_{2}(81)$, 2), ($\textrm{HS}_{}$, 3)] & [ 3, 4, 5, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40 ] & 40 +48 & 48 & 48 & 1 & 33 & Yes & No & 3& []& [($\textrm{Alt}_{7}$, 3), (${}^2A_{2}(9)$, 1), ($\textrm{Alt}_{8}$ or $A_{2}(4)$, 6), ($B_{2}(3)$, 24), ($\textrm{M}_{12}$, 1), (${}^2A_{2}(25)$, 3), ($\textrm{J}_{2}$, 4), ($C_{3}(2)$, 27), ($\textrm{Alt}_{10}$, 3), ($A_{2}(7)$, 1), (${}^2A_{3}(9)$, 15), ($B_{2}(5)$, 19), (${}^2A_{2}(64)$, 2), ($A_{3}(3)$, 30), ($A_{4}(2)$, 4), (${}^2A_{4}(4)$, 63), ($\textrm{Alt}_{11}$, 3), ($A_{2}(9)$, 1), (${}^2A_{2}(81)$, 2), ($\textrm{HS}_{}$, 3)] & [ 3, 4, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40 ] & 40 +48 & 48 & 54 & 0 & 45 & Yes & No & 3& []& [($A_{2}(3)$, 2), ($B_{2}(3)$, 19), ($\textrm{Alt}_{9}$, 3), ($C_{3}(2)$, 3), ($\textrm{Alt}_{10}$, 6), (${}^2A_{3}(9)$, 17), ($A_{3}(3)$, 28), (${}^2A_{4}(4)$, 40), ($\textrm{Alt}_{11}$, 6), ($A_{2}(9)$, 3)] & [ 3, 4, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40 ] & 40 +48 & 54 & 54 & 0 & 57 & ? & No & 3& []& [($A_{2}(3)$, 2), ($B_{2}(3)$, 8), ($\textrm{Alt}_{9}$, 6), ($\textrm{Alt}_{10}$, 2), (${}^2A_{3}(9)$, 9), (${}^2A_{2}(64)$, 2), ($A_{3}(3)$, 11), (${}^2A_{4}(4)$, 25), ($\textrm{Alt}_{11}$, 4), ($A_{2}(9)$, 3)] & [ 3, 4, 9, 10, 11, 12, 13, 14, 15, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40 ] & 40 +48 & 54 & 54 & 2 & 57 & Yes & No & 3& []& [($A_{2}(3)$, 2), ($B_{2}(3)$, 10), ($\textrm{Alt}_{9}$, 9), ($C_{3}(2)$, 6), ($\textrm{Alt}_{10}$, 22), (${}^2A_{3}(9)$, 14), (${}^2A_{2}(64)$, 2), ($A_{3}(3)$, 36), (${}^2A_{4}(4)$, 28), ($\textrm{Alt}_{11}$, 20), ($A_{2}(9)$, 3)] & [ 3, 4, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40 ] & 40 +48 & 54 & 54 & 8 & 57 & ? & No & 3& []& [($A_{2}(3)$, 2), ($B_{2}(3)$, 18), ($\textrm{Alt}_{9}$, 14), ($\textrm{Alt}_{10}$, 1), (${}^2A_{3}(9)$, 15), (${}^2A_{2}(64)$, 2), ($A_{3}(3)$, 19), (${}^2A_{4}(4)$, 52), ($\textrm{Alt}_{11}$, 1), ($A_{2}(9)$, 3)] & [ 3, 4, 9, 10, 11, 12, 13, 15, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40 ] & 40 +54 & 54 & 54 & 0 & 69 & ? & No & 3& []& [($A_{2}(3)$, 2), ($\textrm{Alt}_{9}$, 6), (${}^2A_{4}(4)$, 10), ($A_{2}(9)$, 3)] & [ 3, 9, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40 ] & 40 +54 & 54 & 54 & 2 & 69 & ? & No & 3& []& [($A_{2}(3)$, 2), ($B_{2}(3)$, 8), ($\textrm{Alt}_{9}$, 24), (${}^2A_{3}(9)$, 9), ($A_{3}(3)$, 13), (${}^2A_{4}(4)$, 41), ($A_{2}(9)$, 3)] & [ 3, 9, 12, 15, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40 ] & 40 diff --git a/data/triangle_groups.json b/data/triangle_groups.json new file mode 100644 index 0000000..acd4d89 --- /dev/null +++ b/data/triangle_groups.json @@ -0,0 +1,15881 @@ +[ + { + "name": "G^{6,40,40}_0", + "name_utf8": "G⁶'⁴⁰'⁴⁰₀", + "half_girth_type": [ + 2, + 4, + 4 + ], + "generators": [ + "a", + "b", + "c" + ], + "relations": [ + "a^3", + "b^3", + "c^3", + "b*a*b^-1*a^-1", + "(c*b^-1*c*b)^2", + "(c^-1*b^-1*c*b^-1)^2", + "(a*c^-1*a*c)^2", + "(a^-1*c^-1*a*c^-1)^2" + ], + "order1": 6, + "order2": 40, + "order3": 40, + "index": 0, + "presentation_length": 45, + "hyperbolic": false, + "witnesses_non_hyperbolictity": [ + "a^-1 * c * b * c * a^-1 * c * b * c^-1", + "b * c * a^-1 * c * b * c * a^-1 * c^-1" + ], + "virtually_torsion_free": true, + "Kazdhdan_property_T": false, + "abelianization_dimension": 0, + "L2_quotients": [], + "quotients": { + "B_{2}(3)": 1, + "Alt(7)": 2 + }, + "alternating_quotients": [ + 5, + 7 + ], + "maximal_degree_alternating_quotients": 28, + "L2_quotients_utf8": [], + "quotients_utf8": { + "Alt(7)": 2, + "B₂(3)": 1 + }, + "quotients_plain": { + "B2(3)": 1, + "Alt(7)": 2 + } + }, + { + "name": "G^{6,40,48}_0", + "name_utf8": "G⁶'⁴⁰'⁴⁸₀", + "half_girth_type": [ + 2, + 4, + 4 + ], + "generators": [ + "a", + "b", + "c" + ], + "relations": [ + "a^3", + "b^3", + "c^3", + "b*a*b^-1*a^-1", + "(c*b^-1*c*b)^2", + "(c^-1*b^-1*c*b^-1)^2", + "(a*c)^2*(a^-1*c^-1)^2" + ], + "order1": 6, + "order2": 40, + "order3": 48, + "index": 0, + "presentation_length": 37, + "hyperbolic": false, + "witnesses_non_hyperbolictity": [ + "b * c * a * c^-1 * b * c^-1 * a^-1 * c^-1", + "a^-1 * c * b * c * a * c * b * c^-1" + ], + "virtually_torsion_free": true, + "Kazdhdan_property_T": false, + "abelianization_dimension": 1, + "L2_quotients": [ + "L_2(3^2)" + ], + "quotients": { + "A_{3}(3)": 1, + "B_{2}(3)": 3 + }, + "alternating_quotients": [ + 3, + 5, + 6 + 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"{}^2A_{3}(9)": 15, + "Alt(11)": 1, + "A_{2}(9)": 3, + "A_{2}(3)": 2, + "{}^2A_{4}(4)": 52 + }, + "alternating_quotients": [ + 3, + 4, + 9, + 10, + 11, + 12, + 13, + 15, + 18, + 19, + 20, + 21, + 22, + 23, + 24, + 25, + 26, + 27, + 28, + 29, + 30, + 31, + 32, + 33, + 34, + 35, + 36, + 37, + 38, + 39, + 40 + ], + "maximal_degree_alternating_quotients": 40, + "L2_quotients_utf8": [], + "quotients_utf8": { + "²A₄(4)": 52, + "Alt(9)": 14, + "²A₃(9)": 15, + "Alt(10)": 1, + "A₃(3)": 19, + "²A₂(64)": 2, + "Alt(11)": 1, + "A₂(9)": 3, + "A₂(3)": 2, + "B₂(3)": 18 + }, + "quotients_plain": { + "Alt(9)": 14, + "B2(3)": 18, + "A2(3)": 2, + "2A2(64)": 2, + "A3(3)": 19, + "Alt(10)": 1, + "A2(9)": 3, + "Alt(11)": 1, + "2A3(9)": 15, + "2A4(4)": 52 + } + }, + { + "name": "G^{54,54,54}_0", + "name_utf8": "G⁵⁴'⁵⁴'⁵⁴₀", + "half_girth_type": [ + 4, + 4, + 4 + ], + "generators": [ + "a", + "b", + "c" + ], + "relations": [ + "a^3", + "b^3", + "c^3", + "b * a * b^-1 * a^-1 * b^-1 * a * b * a^-1", + "b * a * b^-1 * a * b * a * b^-1 * a * b * a * b^-1 * a", + "c * b * c^-1 * b^-1 * c^-1 * b * c * b^-1", + "c * b * c^-1 * b * c * b * c^-1 * b * c * b * c^-1 * b", + "a * c * a^-1 * c^-1 * a^-1 * c * a * c^-1", + "a * c * a^-1 * c * a * c * a^-1 * c * a * c * a^-1 * c" + ], + "order1": 54, + "order2": 54, + "order3": 54, + "index": 0, + "presentation_length": 69, + "hyperbolic": true, + "witnesses_non_hyperbolictity": null, + "virtually_torsion_free": null, + "Kazdhdan_property_T": false, + "abelianization_dimension": 3, + "L2_quotients": [], + "quotients": { + "Alt(9)": 6, + "A_{2}(9)": 3, + "A_{2}(3)": 2, + "{}^2A_{4}(4)": 10 + }, + "alternating_quotients": [ + 3, + 9, + 19, + 21, + 22, + 23, + 24, + 25, + 26, + 27, + 28, + 29, + 30, + 31, + 32, + 33, + 34, + 35, + 36, + 37, + 38, + 39, + 40 + ], + "maximal_degree_alternating_quotients": 40, + "L2_quotients_utf8": [], + "quotients_utf8": { + "²A₄(4)": 10, + "Alt(9)": 6, + "A₂(9)": 3, + "A₂(3)": 2 + }, + "quotients_plain": { + "Alt(9)": 6, + "A2(9)": 3, + "A2(3)": 2, + "2A4(4)": 10 + } + }, + { + "name": "G^{54,54,54}_2", + "name_utf8": "G⁵⁴'⁵⁴'⁵⁴₂", + "half_girth_type": [ + 4, + 4, + 4 + ], + "generators": [ + "a", + "b", + "c" + ], + "relations": [ + "a^3", + "b^3", + "c^3", + "b * a * b^-1 * a^-1 * b^-1 * a * b * a^-1", + "b * a * b^-1 * a * b * a * b^-1 * a * b * a * b^-1 * a", + "c * b * c^-1 * b^-1 * c^-1 * b * c * b^-1", + "c * b * c^-1 * b * c * b * c^-1 * b * c * b * c^-1 * b", + "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1", + "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a" + ], + "order1": 54, + "order2": 54, + "order3": 54, + "index": 2, + "presentation_length": 69, + "hyperbolic": true, + "witnesses_non_hyperbolictity": null, + "virtually_torsion_free": null, + "Kazdhdan_property_T": false, + "abelianization_dimension": 3, + "L2_quotients": [], + "quotients": { + "Alt(9)": 24, + "A_{3}(3)": 13, + "B_{2}(3)": 8, + "{}^2A_{3}(9)": 9, + "A_{2}(9)": 3, + "A_{2}(3)": 2, + "{}^2A_{4}(4)": 41 + }, + "alternating_quotients": [ + 3, + 9, + 12, + 15, + 18, + 19, + 21, + 22, + 23, + 24, + 25, + 26, + 27, + 28, + 29, + 30, + 31, + 32, + 33, + 34, + 35, + 36, + 37, + 38, + 39, + 40 + ], + "maximal_degree_alternating_quotients": 40, + "L2_quotients_utf8": [], + "quotients_utf8": { + "²A₄(4)": 41, + "Alt(9)": 24, + "²A₃(9)": 9, + "A₃(3)": 13, + "A₂(9)": 3, + "A₂(3)": 2, + "B₂(3)": 8 + }, + "quotients_plain": { + "Alt(9)": 24, + "B2(3)": 8, + "A2(3)": 2, + "A3(3)": 13, + "A2(9)": 3, + "2A3(9)": 9, + "2A4(4)": 41 + } + } +] diff --git a/docs/create_table.js b/docs/create_table.js new file mode 100644 index 0000000..125aa5e --- /dev/null +++ b/docs/create_table.js @@ -0,0 +1,125 @@ +function columnName(key) { + let words = key.split("_"); + for (let i = 0; i < words.length; i++) { + words[i][0] = words[i][0].toUpperCase(); + } + return words.join(" "); +} + +function generateTableHead(table, keys) { + let thead = table.createTHead(); + let row = thead.insertRow(); + for (let key of keys) { + let th = document.createElement("th"); + let text = document.createTextNode(columnName(key)); + th.appendChild(text); + row.appendChild(th); + } +} + +function createDetails(object, summary_text = "show…", open = false) { + let details = document.createElement("details"); + + let summary = document.createElement("summary"); + summary.textContent = summary_text; + + details.appendChild(summary); + details.appendChild(object); + return details; +} + +function createListFromJson(json, ismath = false) { + let list = document.createElement("ul"); + for (let [k, v] of Object.entries(json)) { + let item = document.createElement("li"); + if (ismath) { + let math = createMathSpan(k + " : " + v); + item.appendChild(math); + } else { + item.innerText = k + " : " + v; + } + list.appendChild(item); + } + return list +} + +function createSpansFromArray(arr, ismath = false) { + let list = document.createElement("span"); + if (arr == null) { + return list; + } + for (let i = 0; i < arr.length; i++) { + let item; + if (ismath) { + item = createMathSpan(arr[i]); + } else { + item = document.createElement("span"); + item.innerText = String(arr[i]); + } + + list.appendChild(item); + if (i != arr.length - 1) { + let comma = document.createElement("span"); + comma.innerText = ", "; + list.appendChild(comma); + } + } + return list; +} + +function fillRow(row, group_json) { + for (let key of Object.keys(group_json)) { + let cell = row.insertCell(); + let cell_content; + let val = group_json[key]; + switch (key) { + case "name": + cell_content = createMathSpan(val); + break; + case "quotients": + cell_content = createDetails(createListFromJson(val, ismath = true)); + break; + case "quotients_utf8": + cell_content = createDetails(createListFromJson(val)); + break; + case "quotients_plain": + cell_content = createListFromJson(val); + break; + case "generators": + cell_content = createSpansFromArray(val,); + break; + case "relations": + cell_content = createDetails(createSpansFromArray(val, ismath = true)); + break; + case "witnesses_non_hyperbolictity": + cell_content = createSpansFromArray(val, ismath = true); + break; + case "L2_quotients": + cell_content = createSpansFromArray(val, ismath = true); + break; + case "alternating_quotients": + cell_content = createDetails(createSpansFromArray(val)); + break; + default: + cell_content = document.createTextNode(val); + } + cell.appendChild(cell_content); + } + return row +} + +function fillTableFromJson(table, json) { + let keys = Object.keys(json[0]); + for (let group of json) { + let row = table.insertRow(); + fillRow(row, group); + } + generateTableHead(table, keys); +} + +async function setup_table(data) { + let table = document.querySelector("table"); + fillTableFromJson(table, data); + console.log("created table of length " + table.rows.length); + return table; +} diff --git a/docs/details.css b/docs/details.css new file mode 100644 index 0000000..d6abbff --- /dev/null +++ b/docs/details.css @@ -0,0 +1,26 @@ +details { + border: 1px solid #aaa; + border-radius: 4px; + padding: .4em .4em 0; + align-content: center; +} + +summary { + font-weight: bold; + margin: -0.4em -.2em 0; + padding: .0em; + display: revert; +} + +details[open] { + padding: .5em; +} + +details[open] summary { + border-bottom: 1px solid #aaa; + margin-bottom: .5em; +} + +.math-text { + display: none; +} diff --git a/docs/filter_table.js b/docs/filter_table.js new file mode 100644 index 0000000..9d63a8f --- /dev/null +++ b/docs/filter_table.js @@ -0,0 +1,34 @@ +const filtersConfig = { + base_path: 'tablefilter/', + auto_filter: { + delay: 400 + }, + filters_row_index: 1, + highlight_keywords: true, + responsive: true, + state: true, + sticky_headers: true, + // popup_filters: true, + no_results_message: true, + alternate_rows: true, + mark_active_columns: true, + rows_counter: true, + btn_reset: true, + status_bar: true, + msg_filter: 'Filtering...', + extensions: [{ + name: 'colsVisibility', + at_start: [1,3,5,6,7,8,18,19,20,21], + text: 'Hidden Columns: ', + enable_tick_all: true + }, { + name: 'sort' + }] +}; + +async function setup_filter(table) { + console.log("filtered table of length " + table.rows.length); + const filter = new TableFilter(table, filtersConfig); + filter.init(); + return filter; +} diff --git a/docs/http_server.py b/docs/http_server.py new file mode 100644 index 0000000..2c5da5e --- /dev/null +++ b/docs/http_server.py @@ -0,0 +1,16 @@ +#!/usr/bin/env python3 +# encoding: utf-8 +"""Use instead of `python3 -m http.server` when you need CORS""" + +from http.server import HTTPServer, SimpleHTTPRequestHandler + +class CORSRequestHandler(SimpleHTTPRequestHandler): + def end_headers(self): + self.send_header('Access-Control-Allow-Origin', '*') + self.send_header('Access-Control-Allow-Methods', 'GET') + self.send_header('Cache-Control', 'no-store, no-cache, must-revalidate') + return super(CORSRequestHandler, self).end_headers() + + +httpd = HTTPServer(('localhost', 8003), CORSRequestHandler) +httpd.serve_forever() diff --git a/docs/index.html b/docs/index.html new file mode 100644 index 0000000..100d721 --- /dev/null +++ b/docs/index.html @@ -0,0 +1,50 @@ + + + + + + Generalized Triangle Groups + + + + + + + + + + + + +
+

+ Generalized Triangle Groups of 2011.09276 +

+ by Pierre-Emmanuel Caprace, Marston Conder, Marek Kaluba and Stefan Witzel. + +
+ + +
+ +
+
+
+
+ + + + + + + + + + diff --git a/docs/main.js b/docs/main.js new file mode 100644 index 0000000..2823db7 --- /dev/null +++ b/docs/main.js @@ -0,0 +1,15 @@ +const groups_url = new URL("https://raw.githubusercontent.com/kalmarek/SmallHyperbolic/mk/json/data/triangle_groups.json") + +async function fetch_json(url) { + try { + let response = await fetch(url); + let json = await response.json(); + return json; + } catch (err) { + console.log("Error while fetching json:" + err); + } +} +let table = fetch_json(groups_url) + .then(setup_table) + .then(setup_filter) + ; diff --git a/docs/math_render.js b/docs/math_render.js new file mode 100644 index 0000000..5eb0b07 --- /dev/null +++ b/docs/math_render.js @@ -0,0 +1,55 @@ +function prepareTextForKatex(string) { + return string.replace(/ /g, "") + .replace(/\*/g, "") + .replace(/\^-1/g, "^{-1}") + .replace(/inf/g, "\\infty"); +} + +function createMathSpan(content) { + let item = document.createElement("span"); + item.className = "math"; + + let math_text = document.createElement("span"); + let math_tex = document.createElement("span"); + + math_text.className = "math-text"; + math_text.innerText = content.toString().replace(/\*/g, "").replace(/ /g, "") + + math_tex.className = "math-tex"; + katex.render(prepareTextForKatex(math_text.innerText), math_tex); + + item.appendChild(math_text); + item.appendChild(math_tex); + + return item; +} + +function toggleKaTeX(elt, toggle) { + let display_text = toggle ? "none" : "revert"; + let display_tex = toggle ? "revert" : "none"; + for (let child of elt.childNodes) { + switch (child.className) { + case "math-text": + child.style.display = display_text; + break; + case "math-tex": + child.style.display = display_tex; + break; + default: + // nothing + } + } +} + +let math_objects = document.getElementsByClassName("math"); +let katex_switch = document.getElementById("renderWithKatex"); +katex_switch.checked = true; +katex_switch.addEventListener( + "change", + function () { + let toggle = this.checked; + for (let element of math_objects) { + toggleKaTeX(element, toggle); + } + } +); diff --git a/docs/tablefilter/style/colsVisibility.css b/docs/tablefilter/style/colsVisibility.css new file mode 100644 index 0000000..3f2a86d --- /dev/null +++ b/docs/tablefilter/style/colsVisibility.css @@ -0,0 +1 @@ +span.colVisSpan{text-align:left;}span.colVisSpan a.colVis{display:inline-block;padding:7px 5px 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t=this.cont.style.display;""===t||t===s.NONE?(this.cont.style.display="inline",0'),e.placeholderCssClass=Object(l.defaultsStr)(n.placeholder_css_class,"popUpPlaceholder"),e.containerCssClass=Object(l.defaultsStr)(n.div_css_class,"popUpFilter"),e.adjustToContainer=Object(l.defaultsBool)(n.adjust_to_container,!0),e.onBeforeOpen=Object(l.defaultsFn)(n.on_before_popup_filter_open,s.EMPTY_FN),e.onAfterOpen=Object(l.defaultsFn)(n.on_after_popup_filter_open,s.EMPTY_FN),e.onBeforeClose=Object(l.defaultsFn)(n.on_before_popup_filter_close,s.EMPTY_FN),e.onAfterClose=Object(l.defaultsFn)(n.on_after_popup_filter_close,s.EMPTY_FN),e.fltSpans=[],e.fltIcons=[],e.filtersCache=null,e.fltElms=Object(l.defaultsArr)(e.filtersCache,[]),e.prfxDiv="popup_",e.activeFilterIdx=-1,e}return function _createClass(t,e,n){return e&&_defineProperties(t.prototype,e),n&&_defineProperties(t,n),t}(PopupFilter,[{key:"onClick",value:function onClick(t){var e=Object(u.targetEvt)(t).parentNode,n=parseInt(e.getAttribute("ci"),10);if(this.closeAll(n),this.toggle(n),this.adjustToContainer){var r=this.fltElms[n],i=.95*this.tf.getHeaderElement(n).clientWidth;r.style.width=parseInt(i,10)+"px"}Object(u.cancelEvt)(t),Object(u.stopEvt)(t)}},{key:"onMouseup",value:function onMouseup(t){if(-1!==this.activeFilterIdx){var e=Object(u.targetEvt)(t),n=this.fltElms[this.activeFilterIdx];if(this.fltIcons[this.activeFilterIdx]!==e){for(;e&&e!==n;)e=e.parentNode;e!==n&&this.close(this.activeFilterIdx)}}}},{key:"init",value:function init(){var n=this;if(!this.initialized){var t=this.tf;t.externalFltIds=[""],t.filtersRowIndex=0,t.headersRow<=1&&isNaN(t.config().headers_row_index)&&(t.headersRow=0),t.gridLayout&&(t.headersRow--,this.buildIcons()),this.emitter.on(["before-filtering"],function(){return n.setIconsState()}),this.emitter.on(["after-filtering"],function(){return n.closeAll()}),this.emitter.on(["cell-processed"],function(t,e){return n.changeState(e,!0)}),this.emitter.on(["filters-row-inserted"],function(){return n.buildIcons()}),this.emitter.on(["before-filter-init"],function(t,e){return n.build(e)}),this.initialized=!0}}},{key:"reset",value:function reset(){this.enable(),this.init(),this.buildIcons(),this.buildAll()}},{key:"buildIcons",value:function buildIcons(){var n=this,r=this.tf;r.headersRow++,r.eachCol(function(t){var e=Object(o.createElm)("span",["ci",t]);e.innerHTML=n.iconHtml,r.getHeaderElement(t).appendChild(e),Object(u.addEvt)(e,"click",function(t){return n.onClick(t)}),n.fltSpans[t]=e,n.fltIcons[t]=e.firstChild},function(t){return r.getFilterType(t)===a.NONE})}},{key:"buildAll",value:function buildAll(){for(var t=0;t'),e.toolbarPosition=Object(o.defaultsStr)(n.toolbar_position,c.RIGHT),e.container=null,e.element=null,e}return function _createClass(t,e,n){return e&&_defineProperties(t.prototype,e),n&&_defineProperties(t,n),t}(ClearButton,[{key:"onClick",value:function onClick(){this.isEnabled()&&this.tf.clearFilters()}},{key:"init",value:function init(){var t=this,e=this.tf;if(!this.initialized){this.emitter.emit("initializing-feature",this,!Object(u.isNull)(this.targetId));var n=Object(s.createElm)("span");if((this.targetId?Object(s.elm)(this.targetId):e.feature("toolbar").container(this.toolbarPosition)).appendChild(n),this.html){n.innerHTML=this.html;var r=n.firstChild;Object(a.addEvt)(r,"click",function(){return t.onClick()})}else{var i=Object(s.createElm)("a",["href","javascript:void(0);"]);i.className=this.cssClass,i.appendChild(Object(s.createText)(this.text)),n.appendChild(i),Object(a.addEvt)(i,"click",function(){return t.onClick()})}this.element=n.firstChild,this.container=n,this.initialized=!0,this.emitter.emit("feature-initialized",this)}}},{key:"destroy",value:function destroy(){this.initialized&&(Object(s.removeElm)(this.element),Object(s.removeElm)(this.container),this.element=null,this.container=null,this.initialized=!1)}}]),ClearButton}();r.meta={altName:"btnReset"}},function(t,e,n){"use strict";n.r(e),n.d(e,"AlternateRows",function(){return r});var i=n(10),s=n(2),a=n(1),o=n(5);function _typeof(t){return(_typeof="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function _typeof(t){return typeof t}:function _typeof(t){return t&&"function"==typeof Symbol&&t.constructor===Symbol&&t!==Symbol.prototype?"symbol":typeof t})(t)}function _defineProperties(t,e){for(var n=0;n"),t.btnPrevPageText=Object(o.defaultsStr)(n.btn_prev_page_text,"<"),t.btnLastPageText=Object(o.defaultsStr)(n.btn_last_page_text,">|"),t.btnFirstPageText=Object(o.defaultsStr)(n.btn_first_page_text,"|<"),t.btnNextPageHtml=Object(o.defaultsStr)(n.btn_next_page_html,e.enableIcons?'':null),t.btnPrevPageHtml=Object(o.defaultsStr)(n.btn_prev_page_html,e.enableIcons?'':null),t.btnFirstPageHtml=Object(o.defaultsStr)(n.btn_first_page_html,e.enableIcons?'':null),t.btnLastPageHtml=Object(o.defaultsStr)(n.btn_last_page_html,e.enableIcons?'':null),t.pageText=Object(o.defaultsStr)(n.page_text," Page "),t.ofText=Object(o.defaultsStr)(n.of_text," of "),t.nbPgSpanCssClass=Object(o.defaultsStr)(n.nb_pages_css_class,"nbpg"),t.hasBtns=Object(o.defaultsBool)(n.btns,!0),t.pageSelectorType=Object(o.defaultsStr)(n.page_selector_type,v.SELECT),t.toolbarPosition=Object(o.defaultsStr)(n.toolbar_position,f.CENTER),t.onBeforeChangePage=Object(o.defaultsFn)(n.on_before_change_page,g.EMPTY_FN),t.onAfterChangePage=Object(o.defaultsFn)(n.on_after_change_page,g.EMPTY_FN),t.slcResultsTxt=null,t.btnNextCont=null,t.btnPrevCont=null,t.btnLastCont=null,t.btnFirstCont=null,t.pgCont=null,t.pgBefore=null,t.pgAfter=null;var r=e.refRow,i=e.getRowsNb(!0);t.nbPages=Math.ceil((i-r)/t.pageLength);var s=_assertThisInitialized(t);return t.evt={slcIndex:function slcIndex(){return s.pageSelectorType===v.SELECT?s.pageSlc.options.selectedIndex:parseInt(s.pageSlc.value,10)-1},nbOpts:function nbOpts(){return s.pageSelectorType===v.SELECT?parseInt(s.pageSlc.options.length,10)-1:s.nbPages-1},next:function next(){var t=s.evt.slcIndex()=t.nbFilterableRows&&(this.startPagingRow=t.nbFilterableRows-this.pageLength),this.setPagingInfo(),n===v.SELECT)){var o=r.options.length-1<=a?r.options.length-1:a;r.options[o].selected=!0}i.emit("after-page-length-change",t,this.pageLength)}}},{key:"resetPage",value:function resetPage(){var t=this.tf;if(this.isEnabled()){this.emitter.emit("before-reset-page",t);var e=t.feature("store").getPageNb();""!==e&&this.changePage(e-1),this.emitter.emit("after-reset-page",t,e)}}},{key:"resetPageLength",value:function resetPageLength(){var t=this.tf;if(this.isEnabled()){this.emitter.emit("before-reset-page-length",t);var e=t.feature("store").getPageLength();""!==e&&(this.pageLengthSlc.options[e].selected=!0,this.changeResultsPerPage()),this.emitter.emit("after-reset-page-length",t,e)}}},{key:"changePageHandler",value:function changePageHandler(t,e){this.setPage(e)}},{key:"changePageResultsHandler",value:function changePageResultsHandler(t,e){this.changeResultsPerPage(e)}},{key:"destroy",value:function destroy(){if(this.initialized){var t=this.evt;this.pageSlc&&(this.pageSelectorType===v.SELECT?Object(b.removeEvt)(this.pageSlc,"change",t.slcPagesChange):this.pageSelectorType===v.INPUT&&Object(b.removeEvt)(this.pageSlc,"keypress",t._detectKey),Object(y.removeElm)(this.pageSlc)),this.btnNextCont&&(Object(b.removeEvt)(this.btnNextCont,"click",t.next),Object(y.removeElm)(this.btnNextCont),this.btnNextCont=null),this.btnPrevCont&&(Object(b.removeEvt)(this.btnPrevCont,"click",t.prev),Object(y.removeElm)(this.btnPrevCont),this.btnPrevCont=null),this.btnLastCont&&(Object(b.removeEvt)(this.btnLastCont,"click",t.last),Object(y.removeElm)(this.btnLastCont),this.btnLastCont=null),this.btnFirstCont&&(Object(b.removeEvt)(this.btnFirstCont,"click",t.first),Object(y.removeElm)(this.btnFirstCont),this.btnFirstCont=null),this.pgBefore&&(Object(y.removeElm)(this.pgBefore),this.pgBefore=null),this.pgAfter&&(Object(y.removeElm)(this.pgAfter),this.pgAfter=null),this.pgCont&&(Object(y.removeElm)(this.pgCont),this.pgCont=null),this.hasResultsPerPage&&this.removeResultsPerPage(),this.emitter.off(["after-filtering"],Object(b.bound)(this.resetPagingInfo,this)),this.emitter.off(["change-page"],Object(b.bound)(this.changePageHandler,this)),this.emitter.off(["change-page-results"],Object(b.bound)(this.changePageResultsHandler,this)),this.pageSlc=null,this.nbPages=0,this.initialized=!1}}}]),Paging}()},function(t,e){e.remove=function removeDiacritics(t){return t.replace(/[^\u0000-\u007e]/g,function(t){return r[t]||t})};for(var n=[{base:" ",chars:" "},{base:"0",chars:"߀"},{base:"A",chars:"ⒶＡÀÁÂẦẤẪẨÃĀĂẰẮẴẲȦǠÄǞẢÅǺǍȀȂẠẬẶḀĄȺⱯ"},{base:"AA",chars:"Ꜳ"},{base:"AE",chars:"ÆǼǢ"},{base:"AO",chars:"Ꜵ"},{base:"AU",chars:"Ꜷ"},{base:"AV",chars:"ꜸꜺ"},{base:"AY",chars:"Ꜽ"},{base:"B",chars:"ⒷＢḂḄḆɃƁ"},{base:"C",chars:"ⒸＣꜾḈĆCĈĊČÇƇȻ"},{base:"D",chars:"ⒹＤḊĎḌḐḒḎĐƊƉᴅꝹ"},{base:"Dh",chars:"Ð"},{base:"DZ",chars:"DZDŽ"},{base:"Dz",chars:"DzDž"},{base:"E",chars:"ɛⒺＥÈÉÊỀẾỄỂẼĒḔḖĔĖËẺĚȄȆẸỆȨḜĘḘḚƐƎᴇ"},{base:"F",chars:"ꝼⒻＦḞƑꝻ"},{base:"G",chars:"ⒼＧǴĜḠĞĠǦĢǤƓꞠꝽꝾɢ"},{base:"H",chars:"ⒽＨĤḢḦȞḤḨḪĦⱧⱵꞍ"},{base:"I",chars:"ⒾＩÌÍÎĨĪĬİÏḮỈǏȈȊỊĮḬƗ"},{base:"J",chars:"ⒿＪĴɈȷ"},{base:"K",chars:"ⓀＫḰǨḲĶḴƘⱩꝀꝂꝄꞢ"},{base:"L",chars:"ⓁＬĿĹĽḶḸĻḼḺŁȽⱢⱠꝈꝆꞀ"},{base:"LJ",chars:"LJ"},{base:"Lj",chars:"Lj"},{base:"M",chars:"ⓂＭḾṀṂⱮƜϻ"},{base:"N",chars:"ꞤȠⓃＮǸŃÑṄŇṆŅṊṈƝꞐᴎ"},{base:"NJ",chars:"NJ"},{base:"Nj",chars:"Nj"},{base:"O",chars:"ⓄＯÒÓÔỒỐỖỔÕṌȬṎŌṐṒŎȮȰÖȪỎŐǑȌȎƠỜỚỠỞỢỌỘǪǬØǾƆƟꝊꝌ"},{base:"OE",chars:"Œ"},{base:"OI",chars:"Ƣ"},{base:"OO",chars:"Ꝏ"},{base:"OU",chars:"Ȣ"},{base:"P",chars:"ⓅＰṔṖƤⱣꝐꝒꝔ"},{base:"Q",chars:"ⓆＱꝖꝘɊ"},{base:"R",chars:"ⓇＲŔṘŘȐȒṚṜŖṞɌⱤꝚꞦꞂ"},{base:"S",chars:"ⓈＳẞŚṤŜṠŠṦṢṨȘŞⱾꞨꞄ"},{base:"T",chars:"ⓉＴṪŤṬȚŢṰṮŦƬƮȾꞆ"},{base:"Th",chars:"Þ"},{base:"TZ",chars:"Ꜩ"},{base:"U",chars:"ⓊＵÙÚÛŨṸŪṺŬÜǛǗǕǙỦŮŰǓȔȖƯỪỨỮỬỰỤṲŲṶṴɄ"},{base:"V",chars:"ⓋＶṼṾƲꝞɅ"},{base:"VY",chars:"Ꝡ"},{base:"W",chars:"ⓌＷẀẂŴẆẄẈⱲ"},{base:"X",chars:"ⓍＸẊẌ"},{base:"Y",chars:"ⓎＹỲÝŶỸȲẎŸỶỴƳɎỾ"},{base:"Z",chars:"ⓏＺŹẐŻŽẒẔƵȤⱿⱫꝢ"},{base:"a",chars:"ⓐａẚàáâầấẫẩãāăằắẵẳȧǡäǟảåǻǎȁȃạậặḁąⱥɐɑ"},{base:"aa",chars:"ꜳ"},{base:"ae",chars:"æǽǣ"},{base:"ao",chars:"ꜵ"},{base:"au",chars:"ꜷ"},{base:"av",chars:"ꜹꜻ"},{base:"ay",chars:"ꜽ"},{base:"b",chars:"ⓑｂḃḅḇƀƃɓƂ"},{base:"c",chars:"ｃⓒćĉċčçḉƈȼꜿↄ"},{base:"d",chars:"ⓓｄḋďḍḑḓḏđƌɖɗƋᏧԁꞪ"},{base:"dh",chars:"ð"},{base:"dz",chars:"dzdž"},{base:"e",chars:"ⓔｅèéêềếễểẽēḕḗĕėëẻěȅȇẹệȩḝęḙḛɇǝ"},{base:"f",chars:"ⓕｆḟƒ"},{base:"ff",chars:"ff"},{base:"fi",chars:"fi"},{base:"fl",chars:"fl"},{base:"ffi",chars:"ffi"},{base:"ffl",chars:"ffl"},{base:"g",chars:"ⓖｇǵĝḡğġǧģǥɠꞡꝿᵹ"},{base:"h",chars:"ⓗｈĥḣḧȟḥḩḫẖħⱨⱶɥ"},{base:"hv",chars:"ƕ"},{base:"i",chars:"ⓘｉìíîĩīĭïḯỉǐȉȋịįḭɨı"},{base:"j",chars:"ⓙｊĵǰɉ"},{base:"k",chars:"ⓚｋḱǩḳķḵƙⱪꝁꝃꝅꞣ"},{base:"l",chars:"ⓛｌŀĺľḷḹļḽḻſłƚɫⱡꝉꞁꝇɭ"},{base:"lj",chars:"lj"},{base:"m",chars:"ⓜｍḿṁṃɱɯ"},{base:"n",chars:"ⓝｎǹńñṅňṇņṋṉƞɲʼnꞑꞥлԉ"},{base:"nj",chars:"nj"},{base:"o",chars:"ⓞｏòóôồốỗổõṍȭṏōṑṓŏȯȱöȫỏőǒȍȏơờớỡởợọộǫǭøǿꝋꝍɵɔᴑ"},{base:"oe",chars:"œ"},{base:"oi",chars:"ƣ"},{base:"oo",chars:"ꝏ"},{base:"ou",chars:"ȣ"},{base:"p",chars:"ⓟｐṕṗƥᵽꝑꝓꝕρ"},{base:"q",chars:"ⓠｑɋꝗꝙ"},{base:"r",chars:"ⓡｒŕṙřȑȓṛṝŗṟɍɽꝛꞧꞃ"},{base:"s",chars:"ⓢｓśṥŝṡšṧṣṩșşȿꞩꞅẛʂ"},{base:"ss",chars:"ß"},{base:"t",chars:"ⓣｔṫẗťṭțţṱṯŧƭʈⱦꞇ"},{base:"th",chars:"þ"},{base:"tz",chars:"ꜩ"},{base:"u",chars:"ⓤｕùúûũṹūṻŭüǜǘǖǚủůűǔȕȗưừứữửựụṳųṷṵʉ"},{base:"v",chars:"ⓥｖṽṿʋꝟʌ"},{base:"vy",chars:"ꝡ"},{base:"w",chars:"ⓦｗẁẃŵẇẅẘẉⱳ"},{base:"x",chars:"ⓧｘẋẍ"},{base:"y",chars:"ⓨｙỳýŷỹȳẏÿỷẙỵƴɏỿ"},{base:"z",chars:"ⓩｚźẑżžẓẕƶȥɀⱬꝣ"}],r={},i=0;io().getTime();case"past"===e:return t.getTime()"),this.lwOperator=Object(a.defaultsStr)(s.lower_operator,"<"),this.leOperator=Object(a.defaultsStr)(s.lower_equal_operator,"<="),this.geOperator=Object(a.defaultsStr)(s.greater_equal_operator,">="),this.dfOperator=Object(a.defaultsStr)(s.different_operator,"!"),this.lkOperator=Object(a.defaultsStr)(s.like_operator,"*"),this.eqOperator=Object(a.defaultsStr)(s.equal_operator,"="),this.stOperator=Object(a.defaultsStr)(s.start_with_operator,"{"),this.enOperator=Object(a.defaultsStr)(s.end_with_operator,"}"),this.separator=Object(a.defaultsStr)(s.separator,","),this.rowsCounter=Object(K.isObj)(s.rows_counter)||Boolean(s.rows_counter),this.statusBar=Object(K.isObj)(s.status_bar)||Boolean(s.status_bar),this.loader=Object(K.isObj)(s.loader)||Boolean(s.loader),this.displayBtn=Boolean(s.btn),this.btnText=Object(a.defaultsStr)(s.btn_text,this.enableIcons?"":"Go"),this.btnCssClass=Object(a.defaultsStr)(s.btn_css_class,this.enableIcons?"btnflt_icon":"btnflt"),this.btnReset=Object(K.isObj)(s.btn_reset)||Boolean(s.btn_reset),this.onBeforeReset=Object(a.defaultsFn)(s.on_before_reset,K.EMPTY_FN),this.onAfterReset=Object(a.defaultsFn)(s.on_after_reset,K.EMPTY_FN),this.paging=Object(K.isObj)(s.paging)||Boolean(s.paging),this.nbHiddenRows=0,this.autoFilter=Object(K.isObj)(s.auto_filter)||Boolean(s.auto_filter),this.autoFilterDelay=Object(K.isObj)(s.auto_filter)&&Object(K.isNumber)(s.auto_filter.delay)?s.auto_filter.delay:q.AUTO_FILTER_DELAY,this.isUserTyping=null,this.autoFilterTimer=null,this.highlightKeywords=Boolean(s.highlight_keywords),this.noResults=Object(K.isObj)(s.no_results_message)||Boolean(s.no_results_message),this.state=Object(K.isObj)(s.state)||Boolean(s.state),this.dateType=!0,this.locale=Object(a.defaultsStr)(s.locale,"en"),this.thousandsSeparator=Object(a.defaultsStr)(s.thousands_separator,","),this.decimalSeparator=Object(a.defaultsStr)(s.decimal_separator,"."),this.colTypes=Object(K.isArray)(s.col_types)?s.col_types:[],this.prfxTf="TF",this.prfxFlt="flt",this.prfxValButton="btn",this.prfxResponsive="resp",this.stickyCssClass="sticky",this.extensions=Object(a.defaultsArr)(s.extensions,[]),this.enableDefaultTheme=Boolean(s.enable_default_theme),this.hasThemes=this.enableDefaultTheme||Object(K.isArray)(s.themes),this.themes=Object(a.defaultsArr)(s.themes,[]),this.themesPath=this.getThemesPath(),this.responsive=Boolean(s.responsive),this.toolbar=Object(K.isObj)(s.toolbar)||Boolean(s.toolbar),this.stickyHeaders=Boolean(s.sticky_headers),this.Mod={},this.ExtRegistry={},this.instantiateFeatures(P)}return function _createClass(t,e,n){return e&&_defineProperties(t.prototype,e),n&&_defineProperties(t,n),t}(TableFilter,[{key:"init",value:function init(){var n=this;if(!this.initialized){this.import(this.stylesheetId,this.getStylesheetPath(),null,"link");var t,e=this.Mod;if(this.loadThemes(),this.initFeatures([d.DateType,h.Help,p.State,v.MarkActiveColumns,m.GridLayout,y.Loader,g.HighlightKeyword,b.PopupFilter]),this.fltGrid){var r=this._insertFiltersRow();this.nbCells=this.getCellsNb(this.refRow),this.nbFilterableRows=this.getRowsNb();for(var i=this.singleFlt?1:this.nbCells,s=0;s=Object(G.parse)(t.replace(o,""),s);else if(v)b=rObject(G.parse)(t.replace(c,""),s);else if(w)b=!Object(Y.contains)(t.replace(l,""),e,!1,this.caseSensitive);else if(k)b=Object(Y.contains)(t.replace(f,""),e,!1,this.caseSensitive);else if(x)b=Object(Y.contains)(t.replace(d,""),e,!0,this.caseSensitive);else if(j)b=0===e.indexOf(t.replace(h,""));else if(S){var 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i < l; i++) {\r\n\t\toArray[i].value = null;\r\n\t\toArray[i].element = null;\r\n\t\toArray[i] = null;\r\n\t}\r\n};\r\n\r\nSortableTable.prototype.getRowValue = function (oRow, sType, nColumn) {\r\n\t// if we have defined a custom getRowValue use that\r\n\tif (this._sortTypeInfo[sType] && this._sortTypeInfo[sType].getRowValue)\r\n\t\treturn this._sortTypeInfo[sType].getRowValue(oRow, nColumn);\r\n\r\n\tvar s;\r\n\tvar c = oRow.cells[nColumn];\r\n\tif (typeof c.innerText != "undefined")\r\n\t\ts = c.innerText;\r\n\telse\r\n\t\ts = SortableTable.getInnerText(c);\r\n\treturn this.getValueFromString(s, sType);\r\n};\r\n\r\nSortableTable.getInnerText = function (oNode) {\r\n\tvar s = "";\r\n\tvar cs = oNode.childNodes;\r\n\tvar l = cs.length;\r\n\tfor (var i = 0; i < l; i++) {\r\n\t\tswitch (cs[i].nodeType) {\r\n\t\t\tcase 1: //ELEMENT_NODE\r\n\t\t\t\ts += SortableTable.getInnerText(cs[i]);\r\n\t\t\t\tbreak;\r\n\t\t\tcase 3:\t//TEXT_NODE\r\n\t\t\t\ts += cs[i].nodeValue;\r\n\t\t\t\tbreak;\r\n\t\t}\r\n\t}\r\n\treturn s;\r\n};\r\n\r\nSortableTable.prototype.getValueFromString = function (sText, sType) {\r\n\tif (this._sortTypeInfo[sType])\r\n\t\treturn this._sortTypeInfo[sType].getValueFromString( sText );\r\n\treturn sText;\r\n\t/*\r\n\tswitch (sType) {\r\n\t\tcase "Number":\r\n\t\t\treturn Number(sText);\r\n\t\tcase "CaseInsensitiveString":\r\n\t\t\treturn sText.toUpperCase();\r\n\t\tcase "Date":\r\n\t\t\tvar parts = sText.split("-");\r\n\t\t\tvar d = new Date(0);\r\n\t\t\td.setFullYear(parts[0]);\r\n\t\t\td.setDate(parts[2]);\r\n\t\t\td.setMonth(parts[1] - 1);\r\n\t\t\treturn d.valueOf();\r\n\t}\r\n\treturn sText;\r\n\t*/\r\n\t};\r\n\r\nSortableTable.prototype.getSortFunction = function (sType, nColumn) {\r\n\tif (this._sortTypeInfo[sType])\r\n\t\treturn this._sortTypeInfo[sType].compare;\r\n\treturn SortableTable.basicCompare;\r\n};\r\n\r\nSortableTable.prototype.destroy = function () {\r\n\tthis.uninitHeader();\r\n\tvar win = this.document.parentWindow;\r\n\tif (win && typeof win.detachEvent != "undefined") {\t// only IE needs this\r\n\t\twin.detachEvent("onunload", this._onunload);\r\n\t}\r\n\tthis._onunload = null;\r\n\tthis.element = null;\r\n\tthis.tHead = null;\r\n\tthis.tBody = null;\r\n\tthis.document = null;\r\n\tthis._headerOnclick = null;\r\n\tthis.sortTypes = null;\r\n\tthis._asyncsort = null;\r\n\tthis.onsort = null;\r\n};\r\n\r\n// Adds a sort type to all instance of SortableTable\r\n// sType : String - the identifier of the sort type\r\n// fGetValueFromString : function ( s : string ) : T - A function that takes a\r\n// string and casts it to a desired format. If left out the string is just\r\n// returned\r\n// fCompareFunction : function ( n1 : T, n2 : T ) : Number - A normal JS sort\r\n// compare function. Takes two values and compares them. If left out less than,\r\n// <, compare is used\r\n// fGetRowValue : function( oRow : HTMLTRElement, nColumn : int ) : T - A function\r\n// that takes the row and the column index and returns the value used to compare.\r\n// If left out then the innerText is first taken for the cell and then the\r\n// fGetValueFromString is used to convert that string the desired value and type\r\n\r\nSortableTable.prototype.addSortType = function (sType, fGetValueFromString, fCompareFunction, fGetRowValue) {\r\n\tthis._sortTypeInfo[sType] = {\r\n\t\ttype:\t\t\t\tsType,\r\n\t\tgetValueFromString:\tfGetValueFromString || SortableTable.idFunction,\r\n\t\tcompare:\t\t\tfCompareFunction || SortableTable.basicCompare,\r\n\t\tgetRowValue:\t\tfGetRowValue\r\n\t};\r\n};\r\n\r\n// this removes the sort type from all instances of SortableTable\r\nSortableTable.prototype.removeSortType = function (sType) {\r\n\tdelete this._sortTypeInfo[sType];\r\n};\r\n\r\nSortableTable.basicCompare = function compare(n1, n2) {\r\n\tif (n1.value < n2.value)\r\n\t\treturn -1;\r\n\tif (n2.value < n1.value)\r\n\t\treturn 1;\r\n\treturn 0;\r\n};\r\n\r\nSortableTable.idFunction = function (x) {\r\n\treturn x;\r\n};\r\n\r\nSortableTable.toUpperCase = function (s) {\r\n\treturn s.toUpperCase();\r\n};\r\n\r\nSortableTable.toDate = function (s) {\r\n\tvar parts = s.split("-");\r\n\tvar d = new Date(0);\r\n\td.setFullYear(parts[0]);\r\n\td.setDate(parts[2]);\r\n\td.setMonth(parts[1] - 1);\r\n\treturn d.valueOf();\r\n};\r\n\r\n\r\n// add sort types\r\nSortableTable.prototype.addSortType("Number", Number);\r\nSortableTable.prototype.addSortType("CaseInsensitiveString", SortableTable.toUpperCase);\r\nSortableTable.prototype.addSortType("Date", SortableTable.toDate);\r\nSortableTable.prototype.addSortType("String");\r\n// None is a special case\r\n'}}]); \ No newline at end of file diff --git a/src/groupparse.jl b/src/groupparse.jl index 09d6460..17a4e28 100644 --- a/src/groupparse.jl +++ b/src/groupparse.jl @@ -1,18 +1,21 @@ -comm(a,b) = inv(a)*inv(b)*a*b -comm(a,b,args...) = comm(comm(a,b), args...) +comm(a, b) = inv(a) * inv(b) * a * b +comm(a, b, args...) = comm(comm(a, b), args...) const MAGMA_PRESENTATION_regex = r"Group<\s?(?.*)\s?\|\s?(?.*)\s?>" const COMMUTATOR_regex = r"\((?[\w](\s?,\s?[\w]){1+})\)" iscomment(line) = startswith(line, "//") -ismagma_presentation(line) = (m = match(MAGMA_PRESENTATION_regex, line); return !isnothing(m), m) +ismagma_presentation(line) = + (m = match(MAGMA_PRESENTATION_regex, line); return !isnothing(m), m) -function parse_magma_fpgroup(str::AbstractString) + + +function split_magma_presentation(str::AbstractString) m = match(MAGMA_PRESENTATION_regex, str) gens_str = strip.(split(m[:gens], ",")) rels_str = m[:rels] split_indices = [0] - in_function_call=0 - for (i,s) in enumerate(rels_str) + in_function_call = 0 + for (i, s) in enumerate(rels_str) if s == '(' in_function_call += 1 elseif s == ')' @@ -23,17 +26,27 @@ function parse_magma_fpgroup(str::AbstractString) end end @assert in_function_call == 0 - push!(split_indices, length(rels_str)+1) + push!(split_indices, length(rels_str) + 1) - rels_strs = [strip.(String(rels_str[s+1:e-1])) for (s,e) in zip(split_indices, Iterators.rest(split_indices, 2))] + rels_strs = [ + strip.(String(rels_str[s+1:e-1])) for + (s, e) in zip(split_indices, Iterators.rest(split_indices, 2)) + ] # rels_strs = replace.(rels_strs, COMMUTATOR_regex=> s"comm(\g)") # @show rels_strs + return gens_str, rels_strs +end +function parse_magma_fpgroup(str::AbstractString) + gens_str, rels_strs = split_magma_presentation(str) return parse_magma_fpgroup(gens_str, rels_strs) end -function parse_magma_fpgroup(gens_str::AbstractVector{<:AbstractString}, rels_str::AbstractVector{<:AbstractString}) +function parse_magma_fpgroup( + gens_str::AbstractVector{<:AbstractString}, + rels_str::AbstractVector{<:AbstractString}, +) gens_arr = Symbol.(gens_str) gens_expr = Expr(:tuple, gens_arr...) @@ -43,16 +56,16 @@ function parse_magma_fpgroup(gens_str::AbstractVector{<:AbstractString}, rels_st F = FreeGroup(String.(gens_str)) relations = @eval begin - $gens_expr = AbstractAlgebra.gens($F); + $gens_expr = AbstractAlgebra.gens($F) $rels_expr end - return F/relations + return F / relations end function parse_grouppresentations(filename::AbstractString) lines = strip.(readlines(filename)) - groups = Dict{String, FPGroup}() + groups = Dict{String,FPGroup}() group_regex = r"(?\w.*)\s?:=\s?(?Group.*)" for line in lines isempty(line) && continue