From fbb00084575370005068d3be1e11328ac94d0877 Mon Sep 17 00:00:00 2001 From: Marek Kaluba Date: Mon, 17 Jan 2022 20:31:26 +0100 Subject: [PATCH 01/19] split parse_magma_fpgroup to get gens/rels as strings --- src/groupparse.jl | 19 ++++++++++++++----- 1 file changed, 14 insertions(+), 5 deletions(-) diff --git a/src/groupparse.jl b/src/groupparse.jl index 09d6460..c849c7c 100644 --- a/src/groupparse.jl +++ b/src/groupparse.jl @@ -6,13 +6,15 @@ 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) -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 == ')' @@ -23,13 +25,20 @@ 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 From 1899c7b5d8fd4cf2ad26a7069a385bb06f1b2fe6 Mon Sep 17 00:00:00 2001 From: Marek Kaluba Date: Mon, 17 Jan 2022 21:45:44 +0100 Subject: [PATCH 02/19] add tables csv by Stefan --- data/table_2_4_4.csv | 22 ++++++++++++ data/table_3_3_3.csv | 83 ++++++++++++++++++++++++++++++++++++++++++++ data/table_3_3_4.csv | 79 +++++++++++++++++++++++++++++++++++++++++ data/table_3_4_4.csv | 55 +++++++++++++++++++++++++++++ data/table_4_4_4.csv | 18 ++++++++++ 5 files changed, 257 insertions(+) create mode 100644 data/table_2_4_4.csv create mode 100644 data/table_3_3_3.csv create mode 100644 data/table_3_3_4.csv create mode 100644 data/table_3_4_4.csv create mode 100644 data/table_4_4_4.csv 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 From b8ed94adf38cb1de9af6d52ad3571a02508c3647 Mon Sep 17 00:00:00 2001 From: Marek Kaluba Date: Mon, 17 Jan 2022 21:49:49 +0100 Subject: [PATCH 03/19] add new parsing of presentation --- data/parse_presentations.jl | 28 ++++++++++++++++++++++++++++ 1 file changed, 28 insertions(+) create mode 100644 data/parse_presentations.jl diff --git a/data/parse_presentations.jl b/data/parse_presentations.jl new file mode 100644 index 0000000..9892ae2 --- /dev/null +++ b/data/parse_presentations.jl @@ -0,0 +1,28 @@ +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 From 93126378733005343eea12ae419ac53459cce575 Mon Sep 17 00:00:00 2001 From: Marek Kaluba Date: Mon, 17 Jan 2022 21:50:33 +0100 Subject: [PATCH 04/19] add TriangleGrp for parsing purposes --- data/parse_presentations.jl | 46 +++++++++++++++++++++++++++++ data/smallhyperbolicgrp.jl | 59 +++++++++++++++++++++++++++++++++++++ 2 files changed, 105 insertions(+) create mode 100644 data/smallhyperbolicgrp.jl diff --git a/data/parse_presentations.jl b/data/parse_presentations.jl index 9892ae2..e61b279 100644 --- a/data/parse_presentations.jl +++ b/data/parse_presentations.jl @@ -26,3 +26,49 @@ function parse_grouppresentations_abstract(filename::AbstractString) end return groups end + +# parse_grouppresentations_abstract("./data/presentations_2_4_4.txt") + +function _tf_missing(x::Any) + s = strip(x) + mis = !isnothing(match(r"(\?)*", x)) + no = !isnothing(match(r"no"i, x)) + yes = !isnothing(match(r"yes"i, x)) + mis && return missing + yes && !no && return true + !yes && no && return false + throw(ArgumentError("Unrecognized option: $x")) +end + +function parse_vec(s::AbstractString) + m = match(r"^\s*\[(.*)\]\s*$", s) + isnothing(m) && throw("String does not seem to represent a vector: $s") + content = m[1] + return strip.(split(content, ',')) +end + +parse_vec(T::Type{<:AbstractString}, s::AbstractString) = T.(parse_vec(s)) +function parse_vec(::Type{T}, s::AbstractString) where {T<:Number} + v = parse_vec(String, s) + isempty(v) && return T[] + length(v) == 1 && isempty(first(v)) && return T[] + return parse.(T, parse_vec(String, s)) +end + +function parse_vec( + ::Type{T}, + s::AbstractString, +) where {A<:AbstractString,B<:Number,T<:Tuple{A,B}} + v = parse_vec(s) + if length(v) == 1 + @assert isempty(first(v)) + return Tuple{A,B}[] + end + @assert iseven(length(v)) + return map(1:2:length(v)) do i + @assert first(v[i]) == '(' && last(v[i+1]) == ')' + key = v[i][begin+1:end] + val = v[i+1][begin:end-1] + (A(key), parse(B, val)) + end +end diff --git a/data/smallhyperbolicgrp.jl b/data/smallhyperbolicgrp.jl new file mode 100644 index 0000000..e47f9dc --- /dev/null +++ b/data/smallhyperbolicgrp.jl @@ -0,0 +1,59 @@ +struct TriangleGrp + generators::Vector{String} + relations::Vector{String} + order1::Int + order2::Int + order3::Int + index::Int + presentation_length::Int + hyperbolic::Union{Missing,Bool} + witnesses_non_hyperbolictity::Union{Missing,Vector{String}} + virtually_torsion_free::Union{Missing,Bool} + Kazdhdan_property_T::Union{Missing,Bool} + abelianization_dimension::Int + L2_quotients::Vector{String} + quotients::Vector{Pair{String,Int}} + alternating_quotients::Vector{Int} + maximal_order_alt_quo::Int +end + +_name(G) = "G_$(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 TriangleGrp(generators, relations, nt::NamedTuple) + # @assert fieldnames(SmallHyperbolicGrp) == propertynames(nt) + hyperbolic, witness = if hasproperty(nt, :hyperbolic) + h = _tf_missing(nt.hyperbolic) + nh_w = nt.witnesses_for_non_hyperbolicity + w = isempty(strip(nh_w)) ? missing : parse_vec(String, '[' * nh_w * ']') + h, w + elseif 1 // nt.order1 + 1 // nt.order2 + 1 // nt.order3 < 1 + true, missing + else + missing, missing + end + + TriangleGrp( + 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), + parse_vec(String, nt.L2_quotients), + [Pair(p...) 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 + + From 9319fb2186fba15cac8feba5845c200feecc88ca Mon Sep 17 00:00:00 2001 From: Marek Kaluba Date: Mon, 17 Jan 2022 22:36:58 +0100 Subject: [PATCH 05/19] add script to generate json --- data/Manifest.toml | 30 ++++++++++++++++++++++++++++++ data/Project.toml | 2 ++ data/create_json.jl | 45 +++++++++++++++++++++++++++++++++++++++++++++ 3 files changed, 77 insertions(+) create mode 100644 data/Manifest.toml create mode 100644 data/Project.toml create mode 100644 data/create_json.jl diff --git a/data/Manifest.toml b/data/Manifest.toml new file mode 100644 index 0000000..70f26b7 --- /dev/null +++ b/data/Manifest.toml @@ -0,0 +1,30 @@ +# This file is machine-generated - editing it directly is not advised + +julia_version = "1.7.1" +manifest_format = "2.0" + +[[deps.Dates]] +deps = ["Printf"] +uuid = "ade2ca70-3891-5945-98fb-dc099432e06a" + +[[deps.JSON]] +deps = ["Dates", "Mmap", "Parsers", "Unicode"] +git-tree-sha1 = "8076680b162ada2a031f707ac7b4953e30667a37" +uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6" +version = "0.21.2" + +[[deps.Mmap]] +uuid = "a63ad114-7e13-5084-954f-fe012c677804" + +[[deps.Parsers]] +deps = ["Dates"] +git-tree-sha1 = "92f91ba9e5941fc781fecf5494ac1da87bdac775" +uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0" +version = "2.2.0" + +[[deps.Printf]] +deps = ["Unicode"] +uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7" + +[[deps.Unicode]] +uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5" diff --git a/data/Project.toml b/data/Project.toml new file mode 100644 index 0000000..723a4c6 --- /dev/null +++ b/data/Project.toml @@ -0,0 +1,2 @@ +[deps] +JSON = "682c06a0-de6a-54ab-a142-c8b1cf79cde6" diff --git a/data/create_json.jl b/data/create_json.jl new file mode 100644 index 0000000..e31ed66 --- /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 = map(csvs) do file + 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(P.generators, P.relations, nt) + latex_name(grp) => grp + end |> Dict + + m = match(r".*_(\d)_(\d)_(\d).csv", basename(file)) + @assert !isnothing(m) + type = parse.(Int, tuple(m[1], m[2], m[3])) + type => grps + end |> Dict + # Dict(name(G) => G for G in trGrps) + end + +open(joinpath(@__DIR__, "triangle_groups.json"), "w") do io + JSON.print(io, tr_grps, 4) +end From adda6845b5fdef5f54db388d82cb7dac2e80bcea Mon Sep 17 00:00:00 2001 From: Marek Kaluba Date: Tue, 18 Jan 2022 02:17:19 +0100 Subject: [PATCH 06/19] add type to TriangleGrp --- data/smallhyperbolicgrp.jl | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/data/smallhyperbolicgrp.jl b/data/smallhyperbolicgrp.jl index e47f9dc..faafad4 100644 --- a/data/smallhyperbolicgrp.jl +++ b/data/smallhyperbolicgrp.jl @@ -1,4 +1,5 @@ struct TriangleGrp + type::NTuple{3,Int} generators::Vector{String} relations::Vector{String} order1::Int @@ -21,9 +22,9 @@ _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)}_$(G.index)" +latex_name(G::TriangleGrp) = "\$G^{$(G.order1),$(G.order2),$(G.order3)}_$(G.index)" -function TriangleGrp(generators, relations, nt::NamedTuple) +function TriangleGrp(type::NTuple{3,Int}, generators, relations, nt::NamedTuple) # @assert fieldnames(SmallHyperbolicGrp) == propertynames(nt) hyperbolic, witness = if hasproperty(nt, :hyperbolic) h = _tf_missing(nt.hyperbolic) @@ -37,6 +38,7 @@ function TriangleGrp(generators, relations, nt::NamedTuple) end TriangleGrp( + type, convert(Vector{String}, generators), convert(Vector{String}, relations), convert(Int, nt.order1), From 6a112e15fd8a005d4201595261ca6cb1ef1704e6 Mon Sep 17 00:00:00 2001 From: Marek Kaluba Date: Tue, 18 Jan 2022 02:19:50 +0100 Subject: [PATCH 07/19] flatten and prettify json --- data/Manifest.toml | 155 +++++++++++++++++++++++++++++++++++++ data/Project.toml | 1 + data/create_json.jl | 24 +++--- data/smallhyperbolicgrp.jl | 12 +++ 4 files changed, 180 insertions(+), 12 deletions(-) diff --git a/data/Manifest.toml b/data/Manifest.toml index 70f26b7..6550d27 100644 --- a/data/Manifest.toml +++ b/data/Manifest.toml @@ -3,28 +3,183 @@ 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 index 723a4c6..b2a850c 100644 --- a/data/Project.toml +++ b/data/Project.toml @@ -1,2 +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 index e31ed66..110ac32 100644 --- a/data/create_json.jl +++ b/data/create_json.jl @@ -20,7 +20,11 @@ tr_grps = isfile(joinpath(@__DIR__, f)) && endswith(f, ".csv") ] - trGrps = map(csvs) do file + 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, :] @@ -28,18 +32,14 @@ tr_grps = 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(P.generators, P.relations, nt) - latex_name(grp) => grp - end |> Dict - - m = match(r".*_(\d)_(\d)_(\d).csv", basename(file)) - @assert !isnothing(m) - type = parse.(Int, tuple(m[1], m[2], m[3])) - type => grps - end |> Dict - # Dict(name(G) => G for G in trGrps) + grp = TriangleGrp(type, P.generators, P.relations, nt) + end + end end open(joinpath(@__DIR__, "triangle_groups.json"), "w") do io - JSON.print(io, tr_grps, 4) + 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/smallhyperbolicgrp.jl b/data/smallhyperbolicgrp.jl index faafad4..68c1ee3 100644 --- a/data/smallhyperbolicgrp.jl +++ b/data/smallhyperbolicgrp.jl @@ -58,4 +58,16 @@ function TriangleGrp(type::NTuple{3,Int}, generators, relations, nt::NamedTuple) ) end +import DataStructures +import JSON.Serializations: CommonSerialization, StandardSerialization +import JSON.Writer: StructuralContext, show_json +struct TriangleGrpSerialization <: CommonSerialization end + +function show_json(io::StructuralContext, ::TriangleGrpSerialization, G::TriangleGrp) + D = DataStructures.OrderedDict{Symbol,Any}(:name => latex_name(G)) + for fname in fieldnames(TriangleGrp) + D[fname] = getfield(G, fname) + end + return show_json(io, StandardSerialization(), D) +end From 8339cbd5cf3414e9fc0cf7e13a1a7f20aa85d721 Mon Sep 17 00:00:00 2001 From: Marek Kaluba Date: Tue, 18 Jan 2022 02:20:23 +0100 Subject: [PATCH 08/19] format groupparse --- src/groupparse.jl | 18 +++++++++++------- 1 file changed, 11 insertions(+), 7 deletions(-) diff --git a/src/groupparse.jl b/src/groupparse.jl index c849c7c..17a4e28 100644 --- a/src/groupparse.jl +++ b/src/groupparse.jl @@ -1,10 +1,11 @@ -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) @@ -42,7 +43,10 @@ function parse_magma_fpgroup(str::AbstractString) 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...) @@ -52,16 +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 From 9d6415dcb8ecfce3d8b36395b0a66b4b9d83c964 Mon Sep 17 00:00:00 2001 From: Marek Kaluba Date: Tue, 18 Jan 2022 11:21:20 +0100 Subject: [PATCH 09/19] fix _tf_missing --- data/parse_presentations.jl | 17 +++++++++-------- 1 file changed, 9 insertions(+), 8 deletions(-) diff --git a/data/parse_presentations.jl b/data/parse_presentations.jl index e61b279..139ce1f 100644 --- a/data/parse_presentations.jl +++ b/data/parse_presentations.jl @@ -29,15 +29,16 @@ end # parse_grouppresentations_abstract("./data/presentations_2_4_4.txt") -function _tf_missing(x::Any) +function _tf_missing(x::AbstractString) s = strip(x) - mis = !isnothing(match(r"(\?)*", x)) - no = !isnothing(match(r"no"i, x)) - yes = !isnothing(match(r"yes"i, x)) - mis && return missing - yes && !no && return true - !yes && no && return false - throw(ArgumentError("Unrecognized option: $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: $x")) end function parse_vec(s::AbstractString) From 791295f33ca1d4a92cf7c6eb8d710b8ac021ce34 Mon Sep 17 00:00:00 2001 From: Marek Kaluba Date: Tue, 18 Jan 2022 11:23:11 +0100 Subject: [PATCH 10/19] delegate parsing hyperbolicity et al to a function --- data/smallhyperbolicgrp.jl | 35 ++++++++++++++++++++++++----------- 1 file changed, 24 insertions(+), 11 deletions(-) diff --git a/data/smallhyperbolicgrp.jl b/data/smallhyperbolicgrp.jl index 68c1ee3..fa21886 100644 --- a/data/smallhyperbolicgrp.jl +++ b/data/smallhyperbolicgrp.jl @@ -24,21 +24,34 @@ grp_name(nt::NamedTuple) = _name(nt) latex_name(G::TriangleGrp) = "\$G^{$(G.order1),$(G.order2),$(G.order3)}_$(G.index)" -function TriangleGrp(type::NTuple{3,Int}, generators, relations, nt::NamedTuple) - # @assert fieldnames(SmallHyperbolicGrp) == propertynames(nt) - hyperbolic, witness = if hasproperty(nt, :hyperbolic) - h = _tf_missing(nt.hyperbolic) - nh_w = nt.witnesses_for_non_hyperbolicity - w = isempty(strip(nh_w)) ? missing : parse_vec(String, '[' * nh_w * ']') - h, w - elseif 1 // nt.order1 + 1 // nt.order2 + 1 // nt.order3 < 1 - true, missing +function _ishyperbolic(half_girth_type, nt::NamedTuple) + a, b, c = half_girth_type + if 1 // a + 1 // b + 1 // c < 1 + return true, missing + elseif hasproperty(nt, :hyperbolic) + hyperbolic = _tf_missing(nt.hyperbolic) + nh_witnesses = let w = strip(nt.witnesses_for_non_hyperbolicity) + isempty(w) ? missing : parse_vec(String, '[' * w * ']') + end + @debug "$(nt.hyperbolic) was parsed as $hyperbolic" nh_witnesses + if hyperbolic isa Bool && hyperbolic + @assert ismissing(nh_witnesses) + end + if !ismissing(nh_witnesses) + @assert !hyperbolic + end + return hyperbolic, nh_witnesses else - missing, missing + return missing, missing end +end + +function TriangleGrp(half_girth_type::NTuple{3,Int}, generators, relations, nt::NamedTuple) + # @assert fieldnames(SmallHyperbolicGrp) == propertynames(nt) + hyperbolic, witness = _ishyperbolic(half_girth_type, nt) TriangleGrp( - type, + half_girth_type, convert(Vector{String}, generators), convert(Vector{String}, relations), convert(Int, nt.order1), From 404ed139c2f041ab671932fde01acb40a8be0723 Mon Sep 17 00:00:00 2001 From: Marek Kaluba Date: Tue, 18 Jan 2022 11:23:48 +0100 Subject: [PATCH 11/19] rename fields in TriangleGrp --- data/smallhyperbolicgrp.jl | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/data/smallhyperbolicgrp.jl b/data/smallhyperbolicgrp.jl index fa21886..4a376aa 100644 --- a/data/smallhyperbolicgrp.jl +++ b/data/smallhyperbolicgrp.jl @@ -1,5 +1,5 @@ struct TriangleGrp - type::NTuple{3,Int} + half_girth_type::NTuple{3,Int} generators::Vector{String} relations::Vector{String} order1::Int @@ -15,7 +15,7 @@ struct TriangleGrp L2_quotients::Vector{String} quotients::Vector{Pair{String,Int}} alternating_quotients::Vector{Int} - maximal_order_alt_quo::Int + maximal_degree_alternating_quotients::Int end _name(G) = "G_$(G.order1)_$(G.order2)_$(G.order3)_$(G.index)" From afdb05b958c6b30acadcea70fe79213b5453a413 Mon Sep 17 00:00:00 2001 From: Marek Kaluba Date: Tue, 18 Jan 2022 02:20:49 +0100 Subject: [PATCH 12/19] add generated json --- data/triangle_groups.json | 14789 ++++++++++++++++++++++++++++++++++++ 1 file changed, 14789 insertions(+) create mode 100644 data/triangle_groups.json diff --git a/data/triangle_groups.json b/data/triangle_groups.json new file mode 100644 index 0000000..97e3bb2 --- /dev/null +++ b/data/triangle_groups.json @@ -0,0 +1,14789 @@ +[ + { + "name": "$G^{6,40,40}_0", + "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": [ + { + "$\\textrm{Alt}_{7}$": 2 + }, + { + "$B_{2}(3)$": 1 + } + ], + "alternating_quotients": [ + 5, + 7 + ], + "maximal_degree_alternating_quotients": 28 + }, + { + "name": "$G^{6,40,48}_0", + "half_girth_type": [ + 2, + 4, + 4 + ], + "generators": [ + "a", + "b", + "c" + ], + "relations": [ + "a^3", + "b^3", + "c^3", + "b*a*b^-1*a^-1", + "(c*b^-1*c*b)^2", + "(c^-1*b^-1*c*b^-1)^2", + "(a*c)^2*(a^-1*c^-1)^2" + ], + "order1": 6, + "order2": 40, + "order3": 48, + "index": 0, + "presentation_length": 37, + "hyperbolic": false, + "witnesses_non_hyperbolictity": [ + "b * c * a * c^-1 * b * c^-1 * a^-1 * c^-1", + "a^-1 * c * b * c * a * c * b * c^-1" + ], + "virtually_torsion_free": true, + "Kazdhdan_property_T": false, + "abelianization_dimension": 1, + "L2_quotients": [ + "L_2(3^2)" + ], + "quotients": [ + { + "$B_{2}(3)$": 3 + }, + { + "$A_{3}(3)$": 1 + } + ], + "alternating_quotients": [ + 3, + 5, + 6 + ], + "maximal_degree_alternating_quotients": 28 + }, + { + "name": "$G^{6,40,54}_0", + "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*a^-1*c^-1*a^-1*c*a*c^-1", + "(a*c*a^-1*c)^3" + ], + "order1": 6, + "order2": 40, + "order3": 54, + "index": 0, + "presentation_length": 49, + "hyperbolic": false, + "witnesses_non_hyperbolictity": [ + "a * c^-1 * b^-1 * c^-1 * a * c * b * c", + "b^-1 * c * a^-1 * c^-1 * b * c^-1 * a * c" + ], + "virtually_torsion_free": true, + "Kazdhdan_property_T": false, + "abelianization_dimension": 1, + "L2_quotients": [ + "" + ], + "quotients": [ + { + "$B_{2}(3)$": 2 + }, + { + "$\\textrm{Alt}_{10}$": 4 + }, + { + "${}^2A_{4}(4)$": 1 + } + ], + "alternating_quotients": [ + 3, + 5, + 10, + 15, + 20, + 25 + ], + "maximal_degree_alternating_quotients": 28 + }, + { + "name": "$G^{6,40,54}_2", + "half_girth_type": [ + 2, + 4, + 4 + ], + "generators": [ + "a", + "b", + "c" + ], + "relations": [ + "a^3", + "b^3", + "c^3", + "b*a*b^-1*a^-1", + "(c*b^-1*c*b)^2", + "(c^-1*b^-1*c*b^-1)^2", + "c*a*c^-1*a^-1*c^-1*a*c*a^-1", + "(c*a*c^-1*a)^3" + ], + "order1": 6, + "order2": 40, + "order3": 54, + "index": 2, + "presentation_length": 49, + "hyperbolic": false, + "witnesses_non_hyperbolictity": [ + "b * c * a * c^-1 * b * c * a^-1 * c", + "a * c^-1 * b^-1 * c * a^-1 * c * b^-1 * c" + ], + "virtually_torsion_free": true, + "Kazdhdan_property_T": false, + "abelianization_dimension": 1, + "L2_quotients": [ + "" + ], + "quotients": [ + { + "$\\textrm{Alt}_{9}$": 2 + }, + { + "${}^2A_{3}(9)$": 1 + }, + { + "$A_{3}(3)$": 1 + } + ], + "alternating_quotients": [ + 3, + 5, + 9 + ], + "maximal_degree_alternating_quotients": 28 + }, + { + "name": "$G^{6,48,48}_0", + "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)^2*(c^-1*b^-1)^2", + "(a*c)^2*(a^-1*c^-1)^2" + ], + "order1": 6, + "order2": 48, + "order3": 48, + "index": 0, + "presentation_length": 29, + "hyperbolic": false, + "witnesses_non_hyperbolictity": [ + "a^-1 * c^-1 * b * c", + "b * c * a * c" + ], + "virtually_torsion_free": true, + "Kazdhdan_property_T": false, + "abelianization_dimension": 3, + "L2_quotients": [ + "" + ], + "quotients": [ + { + "$B_{2}(3)$": 1 + }, + { + "${}^2A_{3}(9)$": 1 + }, + { + "$A_{3}(3)$": 1 + } + ], + "alternating_quotients": [ + 3, + 4 + ], + "maximal_degree_alternating_quotients": 28 + }, + { + "name": "$G^{6,48,54}_0", + "half_girth_type": [ + 2, + 4, + 4 + ], + "generators": [ + "a", + "b", + "c" + ], + "relations": [ + "a^3", + "b^3", + "c^3", + "b*a*b^-1*a^-1", + "(c*b)^2*(c^-1*b^-1)^2", + "a*c*a^-1*c^-1*a^-1*c*a*c^-1", + "(a*c*a^-1*c)^3" + ], + "order1": 6, + "order2": 48, + "order3": 54, + "index": 0, + "presentation_length": 41, + "hyperbolic": false, + "witnesses_non_hyperbolictity": [ + "b * c * a * c^-1 * b * c * a * c^-1", + "a^-1 * c * b * c * a^-1 * c^-1 * b^-1 * c^-1" + ], + "virtually_torsion_free": true, + "Kazdhdan_property_T": false, + "abelianization_dimension": 3, + "L2_quotients": [ + "" + ], + "quotients": [ + { + "$B_{2}(3)$": 2 + }, + { + "$\\textrm{Alt}_{10}$": 1 + }, + { + "$\\textrm{Alt}_{11}$": 2 + } + ], + "alternating_quotients": [ + 3, + 4, + 10, + 11, + 14, + 15, + 19, + 20, + 21, + 22, + 23, + 24, + 25, + 26, + 27, + 28 + ], + "maximal_degree_alternating_quotients": 28 + }, + { + "name": "$G^{6,48,54}_2", + "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)^2*(c^-1*b^-1)^2", + "c*a*c^-1*a^-1*c^-1*a*c*a^-1", + "(c*a*c^-1*a)^3" + ], + "order1": 6, + "order2": 48, + "order3": 54, + "index": 2, + "presentation_length": 41, + "hyperbolic": false, + "witnesses_non_hyperbolictity": [ + "b * c * a * c^-1 * b * c * a^-1 * c", + "a * c^-1 * b^-1 * c^-1 * a^-1 * c^-1 * b^-1 * c" + ], + "virtually_torsion_free": true, + "Kazdhdan_property_T": false, + "abelianization_dimension": 3, + "L2_quotients": [ + "" + ], + "quotients": [ + { + "${}^2A_{3}(9)$": 1 + }, + { + "$A_{3}(3)$": 1 + }, + { + "${}^2A_{4}(4)$": 1 + } + ], + "alternating_quotients": [ + 3, + 4 + ], + "maximal_degree_alternating_quotients": 28 + }, + { + "name": "$G^{6,54,54}_0", + "half_girth_type": [ + 2, + 4, + 4 + ], + "generators": [ + "a", + "b", + "c" + ], + "relations": [ + "a^3", + "b^3", + "c^3", + "b*a*b^-1*a^-1", + "c*b*c^-1*b^-1*c^-1*b*c*b^-1", + "(c*b*c^-1*b)^3", + "a*c*a^-1*c^-1*a^-1*c*a*c^-1", + "(a*c*a^-1*c)^3" + ], + "order1": 6, + "order2": 54, + "order3": 54, + "index": 0, + "presentation_length": 53, + "hyperbolic": false, + "witnesses_non_hyperbolictity": [ + "a * c^-1 * b^-1 * c^-1 * a * c * b * c", + "b^-1 * c^-1 * a^-1 * c * b * c^-1 * a * c" + ], + "virtually_torsion_free": true, + "Kazdhdan_property_T": false, + "abelianization_dimension": 3, + "L2_quotients": [ + "" + ], + "quotients": [ + { + "$\\textrm{Alt}_{9}$": 2 + }, + { + "${}^2A_{4}(4)$": 2 + } + ], + "alternating_quotients": [ + 3, + 9, + 27 + ], + "maximal_degree_alternating_quotients": 28 + }, + { + "name": "$G^{6,54,54}_2", + "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*c^-1*b^-1*c^-1*b*c*b^-1", + "(c*b*c^-1*b)^3", + "c*a*c^-1*a^-1*c^-1*a*c*a^-1", + "(c*a*c^-1*a)^3" + ], + "order1": 6, + "order2": 54, + "order3": 54, + "index": 2, + "presentation_length": 53, + "hyperbolic": false, + "witnesses_non_hyperbolictity": [ + "a^-1 * c * b^-1 * c * a * c^-1 * b * c", + "b^-1 * c * a^-1 * c * b * c^-1 * a * c" + ], + 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], + "maximal_degree_alternating_quotients": 40 + }, + { + "name": "$G^{54,54,54}_2", + "half_girth_type": [ + 4, + 4, + 4 + ], + "generators": [ + "a", + "b", + "c" + ], + "relations": [ + "a^3", + "b^3", + "c^3", + "b * a * b^-1 * a^-1 * b^-1 * a * b * a^-1", + "b * a * b^-1 * a * b * a * b^-1 * a * b * a * b^-1 * a", + "c * b * c^-1 * b^-1 * c^-1 * b * c * b^-1", + "c * b * c^-1 * b * c * b * c^-1 * b * c * b * c^-1 * b", + "c * a * c^-1 * a^-1 * c^-1 * a * c * a^-1", + "c * a * c^-1 * a * c * a * c^-1 * a * c * a * c^-1 * a" + ], + "order1": 54, + "order2": 54, + "order3": 54, + "index": 2, + "presentation_length": 69, + "hyperbolic": true, + "witnesses_non_hyperbolictity": null, + "virtually_torsion_free": null, + "Kazdhdan_property_T": false, + "abelianization_dimension": 3, + "L2_quotients": [ + "" + ], + "quotients": [ + { + "$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)$": 3 + } + ], + "alternating_quotients": [ + 3, + 9, + 12, + 15, + 18, + 19, + 21, + 22, + 23, + 24, + 25, + 26, + 27, + 28, + 29, + 30, + 31, + 32, + 33, + 34, + 35, + 36, + 37, + 38, + 39, + 40 + ], + "maximal_degree_alternating_quotients": 40 + } +] From 3951857acc2cac9690eebda8604e23c304c531a0 Mon Sep 17 00:00:00 2001 From: Marek Kaluba Date: Mon, 24 Jan 2022 12:25:40 +0100 Subject: [PATCH 13/19] sanitize group names --- data/smallhyperbolicgrp.jl | 23 ++++++++++++++++++++--- 1 file changed, 20 insertions(+), 3 deletions(-) diff --git a/data/smallhyperbolicgrp.jl b/data/smallhyperbolicgrp.jl index 4a376aa..0b309ad 100644 --- a/data/smallhyperbolicgrp.jl +++ b/data/smallhyperbolicgrp.jl @@ -22,7 +22,7 @@ _name(G) = "G_$(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)}_$(G.index)" +latex_name(G::TriangleGrp) = "G^{$(G.order1),$(G.order2),$(G.order3)}_$(G.index)" function _ishyperbolic(half_girth_type, nt::NamedTuple) a, b, c = half_girth_type @@ -46,10 +46,27 @@ function _ishyperbolic(half_girth_type, nt::NamedTuple) end end +function _sanitize_group_name(s::AbstractString) + s = replace(s, '$'=>"") + 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 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), @@ -64,8 +81,8 @@ function TriangleGrp(half_girth_type::NTuple{3,Int}, generators, relations, nt:: _tf_missing(nt.virtually_torsion_free), _tf_missing(nt.Kazhdan), convert(Int, nt.abelianization_dimension), - parse_vec(String, nt.L2_quotients), - [Pair(p...) for p in parse_vec(Tuple{String,Int}, nt.quotients)], + 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), ) From f2eb4962f301bfc5e1351ae4cd5533a01dca3c4b Mon Sep 17 00:00:00 2001 From: Marek Kaluba Date: Mon, 24 Jan 2022 12:42:48 +0100 Subject: [PATCH 14/19] add utf8 pretty printing --- data/smallhyperbolicgrp.jl | 36 ++++++++++++++++++++++++++++++++++++ 1 file changed, 36 insertions(+) diff --git a/data/smallhyperbolicgrp.jl b/data/smallhyperbolicgrp.jl index 0b309ad..8a3be36 100644 --- a/data/smallhyperbolicgrp.jl +++ b/data/smallhyperbolicgrp.jl @@ -94,10 +94,46 @@ 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)'$(k)") + end + s = replace(s, "{}"=>"") + return s +end + function show_json(io::StructuralContext, ::TriangleGrpSerialization, G::TriangleGrp) D = DataStructures.OrderedDict{Symbol,Any}(:name => latex_name(G)) + D[:name_uft8] = _to_utf8(D[:name]) for fname in fieldnames(TriangleGrp) D[fname] = getfield(G, fname) end + D[:L2_quotients_utf8] = _to_utf8.(D[:L2_quotients]) + D[:quotients_utf8] = [Pair(_to_utf8(k), v) for (k,v) in D[:quotients]] return show_json(io, StandardSerialization(), D) end From 450e1244cb1f66d6ebd111c8cbdd2a637778aec2 Mon Sep 17 00:00:00 2001 From: Marek Kaluba Date: Mon, 24 Jan 2022 12:46:11 +0100 Subject: [PATCH 15/19] update json --- data/smallhyperbolicgrp.jl | 2 +- data/triangle_groups.json | 6709 ++++++++++++++++++++++++++---------- 2 files changed, 4847 insertions(+), 1864 deletions(-) diff --git a/data/smallhyperbolicgrp.jl b/data/smallhyperbolicgrp.jl index 8a3be36..76ce4f3 100644 --- a/data/smallhyperbolicgrp.jl +++ b/data/smallhyperbolicgrp.jl @@ -129,7 +129,7 @@ end function show_json(io::StructuralContext, ::TriangleGrpSerialization, G::TriangleGrp) D = DataStructures.OrderedDict{Symbol,Any}(:name => latex_name(G)) - D[:name_uft8] = _to_utf8(D[:name]) + D[:name_utf8] = _to_utf8(D[:name]) for fname in fieldnames(TriangleGrp) D[fname] = getfield(G, fname) end diff --git a/data/triangle_groups.json b/data/triangle_groups.json index 97e3bb2..69a57c1 100644 --- a/data/triangle_groups.json +++ b/data/triangle_groups.json @@ -1,6 +1,7 @@ [ { - "name": "$G^{6,40,40}_0", + "name": "G^{6,40,40}_0", + "name_utf8": "G⁶'⁴⁰'⁴⁰₀", "half_girth_type": [ 2, 4, @@ -34,25 +35,33 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{7}$": 2 + "Alt(7)": 2 }, { - "$B_{2}(3)$": 1 + "B_{2}(3)": 1 } ], "alternating_quotients": [ 5, 7 ], - "maximal_degree_alternating_quotients": 28 + "maximal_degree_alternating_quotients": 28, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(7)": 2 + }, + { + "B₂(3)": 1 + } + ] }, { - "name": "$G^{6,40,48}_0", + "name": "G^{6,40,48}_0", + "name_utf8": "G⁶'⁴⁰'⁴⁸₀", "half_girth_type": [ 2, 4, @@ -90,10 +99,10 @@ ], "quotients": [ { - "$B_{2}(3)$": 3 + "B_{2}(3)": 3 }, { - "$A_{3}(3)$": 1 + "A_{3}(3)": 1 } ], "alternating_quotients": [ @@ -101,10 +110,22 @@ 5, 6 ], - "maximal_degree_alternating_quotients": 28 + "maximal_degree_alternating_quotients": 28, + "L2_quotients_utf8": [ + "L₂(3²)" + ], + "quotients_utf8": [ + { + "B₂(3)": 3 + }, + { + "A₃(3)": 1 + } + ] }, { - "name": "$G^{6,40,54}_0", + "name": "G^{6,40,54}_0", + "name_utf8": "G⁶'⁴⁰'⁵⁴₀", "half_girth_type": [ 2, 4, @@ -138,18 +159,16 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$B_{2}(3)$": 2 + "B_{2}(3)": 2 }, { - "$\\textrm{Alt}_{10}$": 4 + "Alt(10)": 4 }, { - "${}^2A_{4}(4)$": 1 + "{}^2A_{4}(4)": 1 } ], "alternating_quotients": [ @@ -160,10 +179,23 @@ 20, 25 ], - "maximal_degree_alternating_quotients": 28 + "maximal_degree_alternating_quotients": 28, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "B₂(3)": 2 + }, + { + "Alt(10)": 4 + }, + { + "²A₄(4)": 1 + } + ] }, { - "name": "$G^{6,40,54}_2", + "name": "G^{6,40,54}_2", + "name_utf8": "G⁶'⁴⁰'⁵⁴₂", "half_girth_type": [ 2, 4, @@ -197,18 +229,16 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{9}$": 2 + "Alt(9)": 2 }, { - "${}^2A_{3}(9)$": 1 + "{}^2A_{3}(9)": 1 }, { - "$A_{3}(3)$": 1 + "A_{3}(3)": 1 } ], "alternating_quotients": [ @@ -216,10 +246,23 @@ 5, 9 ], - "maximal_degree_alternating_quotients": 28 + "maximal_degree_alternating_quotients": 28, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(9)": 2 + }, + { + "²A₃(9)": 1 + }, + { + "A₃(3)": 1 + } + ] }, { - "name": "$G^{6,48,48}_0", + "name": "G^{6,48,48}_0", + "name_utf8": "G⁶'⁴⁸'⁴⁸₀", "half_girth_type": [ 2, 4, @@ -251,28 +294,39 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$B_{2}(3)$": 1 + "B_{2}(3)": 1 }, { - "${}^2A_{3}(9)$": 1 + "{}^2A_{3}(9)": 1 }, { - "$A_{3}(3)$": 1 + "A_{3}(3)": 1 } ], "alternating_quotients": [ 3, 4 ], - "maximal_degree_alternating_quotients": 28 + "maximal_degree_alternating_quotients": 28, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "B₂(3)": 1 + }, + { + "²A₃(9)": 1 + }, + { + "A₃(3)": 1 + } + ] }, { - "name": "$G^{6,48,54}_0", + "name": "G^{6,48,54}_0", + "name_utf8": "G⁶'⁴⁸'⁵⁴₀", "half_girth_type": [ 2, 4, @@ -305,18 +359,16 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$B_{2}(3)$": 2 + "B_{2}(3)": 2 }, { - "$\\textrm{Alt}_{10}$": 1 + "Alt(10)": 1 }, { - "$\\textrm{Alt}_{11}$": 2 + "Alt(11)": 2 } ], "alternating_quotients": [ @@ -337,10 +389,23 @@ 27, 28 ], - "maximal_degree_alternating_quotients": 28 + "maximal_degree_alternating_quotients": 28, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "B₂(3)": 2 + }, + { + "Alt(10)": 1 + }, + { + "Alt(11)": 2 + } + ] }, { - "name": "$G^{6,48,54}_2", + "name": "G^{6,48,54}_2", + "name_utf8": "G⁶'⁴⁸'⁵⁴₂", "half_girth_type": [ 2, 4, @@ -373,28 +438,39 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "${}^2A_{3}(9)$": 1 + "{}^2A_{3}(9)": 1 }, { - "$A_{3}(3)$": 1 + "A_{3}(3)": 1 }, { - "${}^2A_{4}(4)$": 1 + "{}^2A_{4}(4)": 1 } ], "alternating_quotients": [ 3, 4 ], - "maximal_degree_alternating_quotients": 28 + "maximal_degree_alternating_quotients": 28, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "²A₃(9)": 1 + }, + { + "A₃(3)": 1 + }, + { + "²A₄(4)": 1 + } + ] }, { - "name": "$G^{6,54,54}_0", + "name": "G^{6,54,54}_0", + "name_utf8": "G⁶'⁵⁴'⁵⁴₀", "half_girth_type": [ 2, 4, @@ -428,15 +504,13 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{9}$": 2 + "Alt(9)": 2 }, { - "${}^2A_{4}(4)$": 2 + "{}^2A_{4}(4)": 2 } ], "alternating_quotients": [ @@ -444,10 +518,20 @@ 9, 27 ], - "maximal_degree_alternating_quotients": 28 + "maximal_degree_alternating_quotients": 28, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(9)": 2 + }, + { + "²A₄(4)": 2 + } + ] }, { - "name": "$G^{6,54,54}_2", + "name": "G^{6,54,54}_2", + "name_utf8": "G⁶'⁵⁴'⁵⁴₂", "half_girth_type": [ 2, 4, @@ -481,21 +565,19 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{9}$": 2 + "Alt(9)": 2 }, { - "${}^2A_{3}(9)$": 1 + "{}^2A_{3}(9)": 1 }, { - "$A_{3}(3)$": 1 + "A_{3}(3)": 1 }, { - "${}^2A_{4}(4)$": 1 + "{}^2A_{4}(4)": 1 } ], "alternating_quotients": [ @@ -508,10 +590,26 @@ 24, 27 ], - "maximal_degree_alternating_quotients": 28 + "maximal_degree_alternating_quotients": 28, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(9)": 2 + }, + { + "²A₃(9)": 1 + }, + { + "A₃(3)": 1 + }, + { + "²A₄(4)": 1 + } + ] }, { - "name": "$G^{6,54,54}_8", + "name": "G^{6,54,54}_8", + "name_utf8": "G⁶'⁵⁴'⁵⁴₈", "half_girth_type": [ 2, 4, @@ -545,15 +643,13 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$B_{2}(3)$": 2 + "B_{2}(3)": 2 }, { - "$\\textrm{Alt}_{9}$": 4 + "Alt(9)": 4 } ], "alternating_quotients": [ @@ -565,10 +661,20 @@ 24, 27 ], - "maximal_degree_alternating_quotients": 28 + "maximal_degree_alternating_quotients": 28, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "B₂(3)": 2 + }, + { + "Alt(9)": 4 + } + ] }, { - "name": "$G^{8,40,40}_0", + "name": "G^{8,40,40}_0", + "name_utf8": "G⁸'⁴⁰'⁴⁰₀", "half_girth_type": [ 2, 4, @@ -603,23 +709,23 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 0, "L2_quotients": [ - "L_2(\\infty^4)" + "L_2(inf^4)" ], "quotients": [ { - "$B_{2}(3)$": 1 + "B_{2}(3)": 1 }, { - "$C_{2}(4)$": 2 + "C_{2}(4)": 2 }, { - "$\\textrm{Alt}_{10}$": 2 + "Alt(10)": 2 }, { - "$B_{2}(5)$": 5 + "B_{2}(5)": 5 }, { - "$\\textrm{Alt}_{11}$": 2 + "Alt(11)": 2 } ], "alternating_quotients": [ @@ -633,10 +739,31 @@ 25, 26 ], - "maximal_degree_alternating_quotients": 28 + "maximal_degree_alternating_quotients": 28, + "L2_quotients_utf8": [ + "L₂(inf⁴)" + ], + "quotients_utf8": [ + { + "B₂(3)": 1 + }, + { + "C₂(4)": 2 + }, + { + "Alt(10)": 2 + }, + { + "B₂(5)": 5 + }, + { + "Alt(11)": 2 + } + ] }, { - "name": "$G^{8,40,48}_0", + "name": "G^{8,40,48}_0", + "name_utf8": "G⁸'⁴⁰'⁴⁸₀", "half_girth_type": [ 2, 4, @@ -671,17 +798,26 @@ ], "quotients": [ { - "$B_{2}(5)$": 4 + "B_{2}(5)": 4 } ], "alternating_quotients": [ 5, 6 ], - "maximal_degree_alternating_quotients": 28 + "maximal_degree_alternating_quotients": 28, + "L2_quotients_utf8": [ + "L₂(3²)" + ], + "quotients_utf8": [ + { + "B₂(5)": 4 + } + ] }, { - "name": "$G^{8,40,54}_0", + "name": "G^{8,40,54}_0", + "name_utf8": "G⁸'⁴⁰'⁵⁴₀", "half_girth_type": [ 2, 4, @@ -717,19 +853,31 @@ ], "quotients": [ { - "$B_{2}(3)$": 2 + "B_{2}(3)": 2 }, { - "$\\textrm{M}_{12}$": 4 + "M_{12}": 4 } ], "alternating_quotients": [ 6 ], - "maximal_degree_alternating_quotients": 28 + "maximal_degree_alternating_quotients": 28, + "L2_quotients_utf8": [ + "L₂(3²)" + ], + "quotients_utf8": [ + { + "B₂(3)": 2 + }, + { + "M₁₂": 4 + } + ] }, { - "name": "$G^{8,40,54}_2", + "name": "G^{8,40,54}_2", + "name_utf8": "G⁸'⁴⁰'⁵⁴₂", "half_girth_type": [ 2, 4, @@ -768,19 +916,19 @@ ], "quotients": [ { - "$B_{2}(3)$": 2 + "B_{2}(3)": 2 }, { - "$\\textrm{M}_{12}$": 4 + "M_{12}": 4 }, { - "$\\textrm{Alt}_{10}$": 3 + "Alt(10)": 3 }, { - "$A_{3}(3)$": 2 + "A_{3}(3)": 2 }, { - "${}^2A_{4}(4)$": 1 + "{}^2A_{4}(4)": 1 } ], "alternating_quotients": [ @@ -794,10 +942,31 @@ 27, 28 ], - "maximal_degree_alternating_quotients": 28 + "maximal_degree_alternating_quotients": 28, + "L2_quotients_utf8": [ + "L₂(3²)" + ], + "quotients_utf8": [ + { + "B₂(3)": 2 + }, + { + "M₁₂": 4 + }, + { + "Alt(10)": 3 + }, + { + "A₃(3)": 2 + }, + { + "²A₄(4)": 1 + } + ] }, { - "name": "$G^{8,48,48}_0", + "name": "G^{8,48,48}_0", + "name_utf8": "G⁸'⁴⁸'⁴⁸₀", "half_girth_type": [ 2, 4, @@ -826,18 +995,16 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$B_{2}(3)$": 3 + "B_{2}(3)": 3 }, { - "$C_{3}(2)$": 4 + "C_{3}(2)": 4 }, { - "$\\textrm{Alt}_{11}$": 1 + "Alt(11)": 1 } ], "alternating_quotients": [ @@ -849,10 +1016,23 @@ 25, 28 ], - "maximal_degree_alternating_quotients": 28 + "maximal_degree_alternating_quotients": 28, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "B₂(3)": 3 + }, + { + "C₃(2)": 4 + }, + { + "Alt(11)": 1 + } + ] }, { - "name": "$G^{8,48,48}_1", + "name": "G^{8,48,48}_1", + "name_utf8": "G⁸'⁴⁸'⁴⁸₁", "half_girth_type": [ 2, 4, @@ -884,24 +1064,22 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{7}$": 1 + "Alt(7)": 1 }, { - "$B_{2}(3)$": 2 + "B_{2}(3)": 2 }, { - "$C_{3}(2)$": 1 + "C_{3}(2)": 1 }, { - "$B_{2}(5)$": 3 + "B_{2}(5)": 3 }, { - "$\\textrm{Alt}_{11}$": 1 + "Alt(11)": 1 } ], "alternating_quotients": [ @@ -919,10 +1097,29 @@ 27, 28 ], - "maximal_degree_alternating_quotients": 28 + "maximal_degree_alternating_quotients": 28, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(7)": 1 + }, + { + "B₂(3)": 2 + }, + { + "C₃(2)": 1 + }, + { + "B₂(5)": 3 + }, + { + "Alt(11)": 1 + } + ] }, { - "name": "$G^{8,48,54}_0", + "name": "G^{8,48,54}_0", + "name_utf8": "G⁸'⁴⁸'⁵⁴₀", "half_girth_type": [ 2, 4, @@ -952,15 +1149,13 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$B_{2}(3)$": 2 + "B_{2}(3)": 2 }, { - "$\\textrm{Alt}_{9}$": 1 + "Alt(9)": 1 } ], "alternating_quotients": [ @@ -968,10 +1163,20 @@ 4, 9 ], - "maximal_degree_alternating_quotients": 28 + "maximal_degree_alternating_quotients": 28, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "B₂(3)": 2 + }, + { + "Alt(9)": 1 + } + ] }, { - "name": "$G^{8,48,54}_2", + "name": "G^{8,48,54}_2", + "name_utf8": "G⁸'⁴⁸'⁵⁴₂", "half_girth_type": [ 2, 4, @@ -1001,21 +1206,19 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$B_{2}(3)$": 2 + "B_{2}(3)": 2 }, { - "$C_{3}(2)$": 1 + "C_{3}(2)": 1 }, { - "$\\textrm{Alt}_{10}$": 2 + "Alt(10)": 2 }, { - "${}^2A_{4}(4)$": 1 + "{}^2A_{4}(4)": 1 } ], "alternating_quotients": [ @@ -1027,10 +1230,26 @@ 26, 28 ], - "maximal_degree_alternating_quotients": 28 + "maximal_degree_alternating_quotients": 28, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "B₂(3)": 2 + }, + { + "C₃(2)": 1 + }, + { + "Alt(10)": 2 + }, + { + "²A₄(4)": 1 + } + ] }, { - "name": "$G^{8,54,54}_0", + "name": "G^{8,54,54}_0", + "name_utf8": "G⁸'⁵⁴'⁵⁴₀", "half_girth_type": [ 2, 4, @@ -1061,18 +1280,19 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3, 4 ], - "maximal_degree_alternating_quotients": 28 + "maximal_degree_alternating_quotients": 28, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{8,54,54}_2", + "name": "G^{8,54,54}_2", + "name_utf8": "G⁸'⁵⁴'⁵⁴₂", "half_girth_type": [ 2, 4, @@ -1106,33 +1326,31 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$B_{2}(3)$": 2 + "B_{2}(3)": 2 }, { - "$\\textrm{Alt}_{9}$": 2 + "Alt(9)": 2 }, { - "$C_{3}(2)$": 4 + "C_{3}(2)": 4 }, { - "$\\textrm{Alt}_{10}$": 12 + "Alt(10)": 12 }, { - "${}^2A_{3}(9)$": 1 + "{}^2A_{3}(9)": 1 }, { - "$A_{3}(3)$": 5 + "A_{3}(3)": 5 }, { - "${}^2A_{4}(4)$": 1 + "{}^2A_{4}(4)": 1 }, { - "$\\textrm{Alt}_{11}$": 4 + "Alt(11)": 4 } ], "alternating_quotients": [ @@ -1158,10 +1376,38 @@ 27, 28 ], - "maximal_degree_alternating_quotients": 28 + "maximal_degree_alternating_quotients": 28, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "B₂(3)": 2 + }, + { + "Alt(9)": 2 + }, + { + "C₃(2)": 4 + }, + { + "Alt(10)": 12 + }, + { + "²A₃(9)": 1 + }, + { + "A₃(3)": 5 + }, + { + "²A₄(4)": 1 + }, + { + "Alt(11)": 4 + } + ] }, { - "name": "$G^{8,54,54}_8", + "name": "G^{8,54,54}_8", + "name_utf8": "G⁸'⁵⁴'⁵⁴₈", "half_girth_type": [ 2, 4, @@ -1195,15 +1441,13 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$B_{2}(3)$": 2 + "B_{2}(3)": 2 }, { - "$\\textrm{Alt}_{9}$": 2 + "Alt(9)": 2 } ], "alternating_quotients": [ @@ -1214,10 +1458,20 @@ 27, 28 ], - "maximal_degree_alternating_quotients": 28 + "maximal_degree_alternating_quotients": 28, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "B₂(3)": 2 + }, + { + "Alt(9)": 2 + } + ] }, { - "name": "$G^{14,14,14}_0", + "name": "G^{14,14,14}_0", + "name_utf8": "G¹⁴'¹⁴'¹⁴₀", "half_girth_type": [ 3, 3, @@ -1251,17 +1505,29 @@ ], "quotients": [ { - "${}^2A_{2}(9)$": 1 + "{}^2A_{2}(9)": 1 }, { - "${}^2A_{2}(25)$": 1 + "{}^2A_{2}(25)": 1 } ], "alternating_quotients": [], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [ + "L₂(7)" + ], + "quotients_utf8": [ + { + "²A₂(9)": 1 + }, + { + "²A₂(25)": 1 + } + ] }, { - "name": "$G^{14,14,14}_1", + "name": "G^{14,14,14}_1", + "name_utf8": "G¹⁴'¹⁴'¹⁴₁", "half_girth_type": [ 3, 3, @@ -1293,17 +1559,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": true, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,14,14}_2", + "name": "G^{14,14,14}_2", + "name_utf8": "G¹⁴'¹⁴'¹⁴₂", "half_girth_type": [ 3, 3, @@ -1335,21 +1602,26 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": true, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{7}$": 1 + "Alt(7)": 1 } ], "alternating_quotients": [ 7 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(7)": 1 + } + ] }, { - "name": "$G^{14,14,14}_6", + "name": "G^{14,14,14}_6", + "name_utf8": "G¹⁴'¹⁴'¹⁴₆", "half_girth_type": [ 3, 3, @@ -1381,21 +1653,26 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": true, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(8)$": 2 + "A_{2}(8)": 2 } ], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(8)": 2 + } + ] }, { - "name": "$G^{14,14,16}_0", + "name": "G^{14,14,16}_0", + "name_utf8": "G¹⁴'¹⁴'¹⁶₀", "half_girth_type": [ 3, 3, @@ -1432,17 +1709,26 @@ ], "quotients": [ { - "$\\textrm{Alt}_{8}$ or $A_{2}(4)$": 1 + "Alt(8) or A_{2}(4)": 1 } ], "alternating_quotients": [ 3, 8 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [ + "L₂(7)" + ], + "quotients_utf8": [ + { + "Alt(8) or A₂(4)": 1 + } + ] }, { - "name": "$G^{14,14,16}_1", + "name": "G^{14,14,16}_1", + "name_utf8": "G¹⁴'¹⁴'¹⁶₁", "half_girth_type": [ 3, 3, @@ -1479,10 +1765,15 @@ ], "quotients": [], "alternating_quotients": [], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [ + "L₂(7)" + ], + "quotients_utf8": [] }, { - "name": "$G^{14,14,16}_4", + "name": "G^{14,14,16}_4", + "name_utf8": "G¹⁴'¹⁴'¹⁶₄", "half_girth_type": [ 3, 3, @@ -1514,15 +1805,16 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,14,16}_5", + "name": "G^{14,14,16}_5", + "name_utf8": "G¹⁴'¹⁴'¹⁶₅", "half_girth_type": [ 3, 3, @@ -1554,17 +1846,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,14,18}_0", + "name": "G^{14,14,18}_0", + "name_utf8": "G¹⁴'¹⁴'¹⁸₀", "half_girth_type": [ 3, 3, @@ -1597,21 +1890,26 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "${}^2A_{2}(9)$": 1 + "{}^2A_{2}(9)": 1 } ], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "²A₂(9)": 1 + } + ] }, { - "name": "$G^{14,14,18}_4", + "name": "G^{14,14,18}_4", + "name_utf8": "G¹⁴'¹⁴'¹⁸₄", "half_girth_type": [ 3, 3, @@ -1644,17 +1942,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,14,24}_0", + "name": "G^{14,14,24}_0", + "name_utf8": "G¹⁴'¹⁴'²⁴₀", "half_girth_type": [ 3, 3, @@ -1691,10 +1990,15 @@ "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [ + "L₂(7)" + ], + "quotients_utf8": [] }, { - "name": "$G^{14,14,24}_1", + "name": "G^{14,14,24}_1", + "name_utf8": "G¹⁴'¹⁴'²⁴₁", "half_girth_type": [ 3, 3, @@ -1732,20 +2036,32 @@ ], "quotients": [ { - "$\\textrm{Alt}_{7}$": 1 + "Alt(7)": 1 }, { - "${}^2A_{2}(25)$": 1 + "{}^2A_{2}(25)": 1 } ], "alternating_quotients": [ 3, 7 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [ + "L₂(7)" + ], + "quotients_utf8": [ + { + "Alt(7)": 1 + }, + { + "²A₂(25)": 1 + } + ] }, { - "name": "$G^{14,14,24}_4", + "name": "G^{14,14,24}_4", + "name_utf8": "G¹⁴'¹⁴'²⁴₄", "half_girth_type": [ 3, 3, @@ -1778,25 +2094,33 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{8}$ or $A_{2}(4)$": 1 + "Alt(8) or A_{2}(4)": 1 }, { - "$\\textrm{M}_{22}$": 1 + "M_{22}": 1 } ], "alternating_quotients": [ 3, 8 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(8) or A₂(4)": 1 + }, + { + "M₂₂": 1 + } + ] }, { - "name": "$G^{14,14,24}_5", + "name": "G^{14,14,24}_5", + "name_utf8": "G¹⁴'¹⁴'²⁴₅", "half_girth_type": [ 3, 3, @@ -1829,22 +2153,27 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{7}$": 1 + "Alt(7)": 1 } ], "alternating_quotients": [ 3, 7 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(7)": 1 + } + ] }, { - "name": "$G^{14,14,26}_0", + "name": "G^{14,14,26}_0", + "name_utf8": "G¹⁴'¹⁴'²⁶₀", "half_girth_type": [ 3, 3, @@ -1874,17 +2203,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,14,26}_1", + "name": "G^{14,14,26}_1", + "name_utf8": "G¹⁴'¹⁴'²⁶₁", "half_girth_type": [ 3, 3, @@ -1917,21 +2247,26 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": null, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(9)$": 1 + "A_{2}(9)": 1 } ], "alternating_quotients": [ 14 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(9)": 1 + } + ] }, { - "name": "$G^{14,14,26}_3", + "name": "G^{14,14,26}_3", + "name_utf8": "G¹⁴'¹⁴'²⁶₃", "half_girth_type": [ 3, 3, @@ -1964,15 +2299,16 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,14,26}_4", + "name": "G^{14,14,26}_4", + "name_utf8": "G¹⁴'¹⁴'²⁶₄", "half_girth_type": [ 3, 3, @@ -2005,15 +2341,16 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,14,26}_5", + "name": "G^{14,14,26}_5", + "name_utf8": "G¹⁴'¹⁴'²⁶₅", "half_girth_type": [ 3, 3, @@ -2046,17 +2383,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,14,26}_7", + "name": "G^{14,14,26}_7", + "name_utf8": "G¹⁴'¹⁴'²⁶₇", "half_girth_type": [ 3, 3, @@ -2089,17 +2427,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,16,16}_0", + "name": "G^{14,16,16}_0", + "name_utf8": "G¹⁴'¹⁶'¹⁶₀", "half_girth_type": [ 3, 3, @@ -2136,10 +2475,15 @@ ], "quotients": [], "alternating_quotients": [], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [ + "L₂(7)" + ], + "quotients_utf8": [] }, { - "name": "$G^{14,16,16}_1", + "name": "G^{14,16,16}_1", + "name_utf8": "G¹⁴'¹⁶'¹⁶₁", "half_girth_type": [ 3, 3, @@ -2171,18 +2515,19 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3, 4 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,16,18}_0", + "name": "G^{14,16,18}_0", + "name_utf8": "G¹⁴'¹⁶'¹⁸₀", "half_girth_type": [ 3, 3, @@ -2215,17 +2560,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,16,24}_0", + "name": "G^{14,16,24}_0", + "name_utf8": "G¹⁴'¹⁶'²⁴₀", "half_girth_type": [ 3, 3, @@ -2262,10 +2608,15 @@ "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [ + "L₂(7)" + ], + "quotients_utf8": [] }, { - "name": "$G^{14,16,24}_1", + "name": "G^{14,16,24}_1", + "name_utf8": "G¹⁴'¹⁶'²⁴₁", "half_girth_type": [ 3, 3, @@ -2295,18 +2646,19 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3, 4 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,16,26}_0", + "name": "G^{14,16,26}_0", + "name_utf8": "G¹⁴'¹⁶'²⁶₀", "half_girth_type": [ 3, 3, @@ -2336,15 +2688,16 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,16,26}_1", + "name": "G^{14,16,26}_1", + "name_utf8": "G¹⁴'¹⁶'²⁶₁", "half_girth_type": [ 3, 3, @@ -2374,17 +2727,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,16,26}_3", + "name": "G^{14,16,26}_3", + "name_utf8": "G¹⁴'¹⁶'²⁶₃", "half_girth_type": [ 3, 3, @@ -2414,17 +2768,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,16,26}_7", + "name": "G^{14,16,26}_7", + "name_utf8": "G¹⁴'¹⁶'²⁶₇", "half_girth_type": [ 3, 3, @@ -2454,15 +2809,16 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,18,18}_0", + "name": "G^{14,18,18}_0", + "name_utf8": "G¹⁴'¹⁸'¹⁸₀", "half_girth_type": [ 3, 3, @@ -2496,17 +2852,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,18,24}_0", + "name": "G^{14,18,24}_0", + "name_utf8": "G¹⁴'¹⁸'²⁴₀", "half_girth_type": [ 3, 3, @@ -2540,17 +2897,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,18,26}_0", + "name": "G^{14,18,26}_0", + "name_utf8": "G¹⁴'¹⁸'²⁶₀", "half_girth_type": [ 3, 3, @@ -2584,17 +2942,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,18,26}_3", + "name": "G^{14,18,26}_3", + "name_utf8": "G¹⁴'¹⁸'²⁶₃", "half_girth_type": [ 3, 3, @@ -2628,17 +2987,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,24,24}_0", + "name": "G^{14,24,24}_0", + "name_utf8": "G¹⁴'²⁴'²⁴₀", "half_girth_type": [ 3, 3, @@ -2677,16 +3037,16 @@ ], "quotients": [ { - "$\\textrm{Alt}_{7}$": 1 + "Alt(7)": 1 }, { - "$\\textrm{Alt}_{8}$ or $A_{2}(4)$": 1 + "Alt(8) or A_{2}(4)": 1 }, { - "$\\textrm{J}_{2}$": 1 + "J_{2}": 1 }, { - "${}^2A_{3}(9)$": 1 + "{}^2A_{3}(9)": 1 } ], "alternating_quotients": [ @@ -2700,10 +3060,28 @@ 35, 36 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [ + "L₂(7)" + ], + "quotients_utf8": [ + { + "Alt(7)": 1 + }, + { + "Alt(8) or A₂(4)": 1 + }, + { + "J₂": 1 + }, + { + "²A₃(9)": 1 + } + ] }, { - "name": "$G^{14,24,24}_1", + "name": "G^{14,24,24}_1", + "name_utf8": "G¹⁴'²⁴'²⁴₁", "half_girth_type": [ 3, 3, @@ -2734,18 +3112,19 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3, 4 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,24,26}_0", + "name": "G^{14,24,26}_0", + "name_utf8": "G¹⁴'²⁴'²⁶₀", "half_girth_type": [ 3, 3, @@ -2779,17 +3158,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,24,26}_1", + "name": "G^{14,24,26}_1", + "name_utf8": "G¹⁴'²⁴'²⁶₁", "half_girth_type": [ 3, 3, @@ -2820,17 +3200,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,24,26}_3", + "name": "G^{14,24,26}_3", + "name_utf8": "G¹⁴'²⁴'²⁶₃", "half_girth_type": [ 3, 3, @@ -2861,17 +3242,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,24,26}_7", + "name": "G^{14,24,26}_7", + "name_utf8": "G¹⁴'²⁴'²⁶₇", "half_girth_type": [ 3, 3, @@ -2905,17 +3287,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,26,26}_0", + "name": "G^{14,26,26}_0", + "name_utf8": "G¹⁴'²⁶'²⁶₀", "half_girth_type": [ 3, 3, @@ -2949,15 +3332,16 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,26,26}_1", + "name": "G^{14,26,26}_1", + "name_utf8": "G¹⁴'²⁶'²⁶₁", "half_girth_type": [ 3, 3, @@ -2988,17 +3372,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,26,26}_3", + "name": "G^{14,26,26}_3", + "name_utf8": "G¹⁴'²⁶'²⁶₃", "half_girth_type": [ 3, 3, @@ -3029,17 +3414,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,26,26}_4", + "name": "G^{14,26,26}_4", + "name_utf8": "G¹⁴'²⁶'²⁶₄", "half_girth_type": [ 3, 3, @@ -3070,17 +3456,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,26,26}_5", + "name": "G^{14,26,26}_5", + "name_utf8": "G¹⁴'²⁶'²⁶₅", "half_girth_type": [ 3, 3, @@ -3114,17 +3501,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 14 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,26,26}_15", + "name": "G^{14,26,26}_15", + "name_utf8": "G¹⁴'²⁶'²⁶₁5", "half_girth_type": [ 3, 3, @@ -3158,17 +3546,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 13 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{16,16,16}_0", + "name": "G^{16,16,16}_0", + "name_utf8": "G¹⁶'¹⁶'¹⁶₀", "half_girth_type": [ 3, 3, @@ -3200,34 +3589,51 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "${}^2A_{2}(9)$": 1 + "{}^2A_{2}(9)": 1 }, { - "$\\textrm{J}_{2}$": 1 + "J_{2}": 1 }, { - "${}^2A_{2}(64)$": 2 + "{}^2A_{2}(64)": 2 }, { - "$A_{2}(9)$": 1 + "A_{2}(9)": 1 }, { - "${}^2A_{2}(81)$": 2 + "{}^2A_{2}(81)": 2 } ], "alternating_quotients": [ 3, 4 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "²A₂(9)": 1 + }, + { + "J₂": 1 + }, + { + "²A₂(64)": 2 + }, + { + "A₂(9)": 1 + }, + { + "²A₂(81)": 2 + } + ] }, { - "name": "$G^{16,16,16}_1", + "name": "G^{16,16,16}_1", + "name_utf8": "G¹⁶'¹⁶'¹⁶₁", "half_girth_type": [ 3, 3, @@ -3259,28 +3665,39 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 1 + "A_{2}(3)": 1 }, { - "${}^2A_{2}(9)$": 2 + "{}^2A_{2}(9)": 2 }, { - "${}^2A_{2}(81)$": 2 + "{}^2A_{2}(81)": 2 } ], "alternating_quotients": [ 5, 29 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 1 + }, + { + "²A₂(9)": 2 + }, + { + "²A₂(81)": 2 + } + ] }, { - "name": "$G^{16,16,18}_0", + "name": "G^{16,16,18}_0", + "name_utf8": "G¹⁶'¹⁶'¹⁸₀", "half_girth_type": [ 3, 3, @@ -3313,25 +3730,33 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ 3, 4 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{16,16,24}_0", + "name": "G^{16,16,24}_0", + "name_utf8": "G¹⁶'¹⁶'²⁴₀", "half_girth_type": [ 3, 3, @@ -3361,15 +3786,13 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{10}$": 1 + "Alt(10)": 1 }, { - "$A_{4}(2)$": 1 + "A_{4}(2)": 1 } ], "alternating_quotients": [ @@ -3379,10 +3802,20 @@ 34, 36 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(10)": 1 + }, + { + "A₄(2)": 1 + } + ] }, { - "name": "$G^{16,16,24}_1", + "name": "G^{16,16,24}_1", + "name_utf8": "G¹⁶'¹⁶'²⁴₁", "half_girth_type": [ 3, 3, @@ -3415,15 +3848,13 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{9}$": 1 + "Alt(9)": 1 }, { - "$\\textrm{HS}_{}$": 1 + "HS": 1 } ], "alternating_quotients": [ @@ -3436,10 +3867,20 @@ 33, 34 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(9)": 1 + }, + { + "HS": 1 + } + ] }, { - "name": "$G^{16,16,26}_0", + "name": "G^{16,16,26}_0", + "name_utf8": "G¹⁶'¹⁶'²⁶₀", "half_girth_type": [ 3, 3, @@ -3469,18 +3910,19 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3, 4 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{16,16,26}_1", + "name": "G^{16,16,26}_1", + "name_utf8": "G¹⁶'¹⁶'²⁶₁", "half_girth_type": [ 3, 3, @@ -3521,10 +3963,15 @@ 16, 30 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [ + "L₂(13)" + ], + "quotients_utf8": [] }, { - "name": "$G^{16,18,18}_0", + "name": "G^{16,18,18}_0", + "name_utf8": "G¹⁶'¹⁸'¹⁸₀", "half_girth_type": [ 3, 3, @@ -3558,28 +4005,39 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "${}^2A_{2}(64)$": 2 + "{}^2A_{2}(64)": 2 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ 3, 4 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "²A₂(64)": 2 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{16,18,24}_0", + "name": "G^{16,18,24}_0", + "name_utf8": "G¹⁶'¹⁸'²⁴₀", "half_girth_type": [ 3, 3, @@ -3610,12 +4068,10 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{10}$": 1 + "Alt(10)": 1 } ], "alternating_quotients": [ @@ -3625,10 +4081,17 @@ 19, 34 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(10)": 1 + } + ] }, { - "name": "$G^{16,18,26}_0", + "name": "G^{16,18,26}_0", + "name_utf8": "G¹⁶'¹⁸'²⁶₀", "half_girth_type": [ 3, 3, @@ -3659,17 +4122,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{16,24,24}_0", + "name": "G^{16,24,24}_0", + "name_utf8": "G¹⁶'²⁴'²⁴₀", "half_girth_type": [ 3, 3, @@ -3700,33 +4164,31 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{7}$": 1 + "Alt(7)": 1 }, { - "$\\textrm{Alt}_{8}$ or $A_{2}(4)$": 2 + "Alt(8) or A_{2}(4)": 2 }, { - "${}^2A_{2}(25)$": 1 + "{}^2A_{2}(25)": 1 }, { - "$\\textrm{J}_{2}$": 1 + "J_{2}": 1 }, { - "$C_{3}(2)$": 1 + "C_{3}(2)": 1 }, { - "${}^2A_{3}(9)$": 1 + "{}^2A_{3}(9)": 1 }, { - "$B_{2}(5)$": 1 + "B_{2}(5)": 1 }, { - "$\\textrm{HS}_{}$": 1 + "HS": 1 } ], "alternating_quotients": [ @@ -3752,10 +4214,38 @@ 35, 36 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(7)": 1 + }, + { + "Alt(8) or A₂(4)": 2 + }, + { + "²A₂(25)": 1 + }, + { + "J₂": 1 + }, + { + "C₃(2)": 1 + }, + { + "²A₃(9)": 1 + }, + { + "B₂(5)": 1 + }, + { + "HS": 1 + } + ] }, { - "name": "$G^{16,24,24}_1", + "name": "G^{16,24,24}_1", + "name_utf8": "G¹⁶'²⁴'²⁴₁", "half_girth_type": [ 3, 3, @@ -3786,12 +4276,10 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$C_{3}(2)$": 2 + "C_{3}(2)": 2 } ], "alternating_quotients": [ @@ -3813,10 +4301,17 @@ 35, 36 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "C₃(2)": 2 + } + ] }, { - "name": "$G^{16,24,26}_0", + "name": "G^{16,24,26}_0", + "name_utf8": "G¹⁶'²⁴'²⁶₀", "half_girth_type": [ 3, 3, @@ -3847,18 +4342,19 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3, 4 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{16,24,26}_1", + "name": "G^{16,24,26}_1", + "name_utf8": "G¹⁶'²⁴'²⁶₁", "half_girth_type": [ 3, 3, @@ -3896,10 +4392,15 @@ "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [ + "L₂(13)" + ], + "quotients_utf8": [] }, { - "name": "$G^{16,26,26}_0", + "name": "G^{16,26,26}_0", + "name_utf8": "G¹⁶'²⁶'²⁶₀", "half_girth_type": [ 3, 3, @@ -3930,18 +4431,19 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3, 26 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{16,26,26}_1", + "name": "G^{16,26,26}_1", + "name_utf8": "G¹⁶'²⁶'²⁶₁", "half_girth_type": [ 3, 3, @@ -3977,14 +4479,23 @@ ], "quotients": [ { - "$A_{2}(3)$": 1 + "A_{2}(3)": 1 } ], "alternating_quotients": [], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [ + "L₂(13)" + ], + "quotients_utf8": [ + { + "A₂(3)": 1 + } + ] }, { - "name": "$G^{16,26,26}_3", + "name": "G^{16,26,26}_3", + "name_utf8": "G¹⁶'²⁶'²⁶₃", "half_girth_type": [ 3, 3, @@ -4015,24 +4526,32 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$G_{2}(3)$": 1 + "G_{2}(3)": 1 } ], "alternating_quotients": [ 26 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "G₂(3)": 1 + } + ] }, { - "name": "$G^{16,26,26}_5", + "name": "G^{16,26,26}_5", + "name_utf8": "G¹⁶'²⁶'²⁶₅", "half_girth_type": [ 3, 3, @@ -4068,13 +4587,13 @@ ], "quotients": [ { - "$A_{2}(3)$": 1 + "A_{2}(3)": 1 }, { - "$G_{2}(3)$": 1 + "G_{2}(3)": 1 }, { - "$A_{3}(3)$": 1 + "A_{3}(3)": 1 } ], "alternating_quotients": [ @@ -4084,10 +4603,25 @@ 28, 29 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [ + "L₂(13)" + ], + "quotients_utf8": [ + { + "A₂(3)": 1 + }, + { + "G₂(3)": 1 + }, + { + "A₃(3)": 1 + } + ] }, { - "name": "$G^{18,18,18}_0", + "name": "G^{18,18,18}_0", + "name_utf8": "G¹⁸'¹⁸'¹⁸₀", "half_girth_type": [ 3, 3, @@ -4122,15 +4656,13 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -4138,10 +4670,20 @@ 27, 36 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{18,18,24}_0", + "name": "G^{18,18,24}_0", + "name_utf8": "G¹⁸'¹⁸'²⁴₀", "half_girth_type": [ 3, 3, @@ -4176,15 +4718,13 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{10}$": 1 + "Alt(10)": 1 }, { - "$\\textrm{Alt}_{11}$": 1 + "Alt(11)": 1 } ], "alternating_quotients": [ @@ -4212,10 +4752,20 @@ 35, 36 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(10)": 1 + }, + { + "Alt(11)": 1 + } + ] }, { - "name": "$G^{18,18,26}_0", + "name": "G^{18,18,26}_0", + "name_utf8": "G¹⁸'¹⁸'²⁶₀", "half_girth_type": [ 3, 3, @@ -4250,25 +4800,33 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ 3, 13 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{18,24,24}_0", + "name": "G^{18,24,24}_0", + "name_utf8": "G¹⁸'²⁴'²⁴₀", "half_girth_type": [ 3, 3, @@ -4303,18 +4861,16 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{10}$": 1 + "Alt(10)": 1 }, { - "${}^2A_{3}(9)$": 1 + "{}^2A_{3}(9)": 1 }, { - "$\\textrm{Alt}_{11}$": 1 + "Alt(11)": 1 } ], "alternating_quotients": [ @@ -4341,10 +4897,23 @@ 35, 36 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(10)": 1 + }, + { + "²A₃(9)": 1 + }, + { + "Alt(11)": 1 + } + ] }, { - "name": "$G^{18,24,26}_0", + "name": "G^{18,24,26}_0", + "name_utf8": "G¹⁸'²⁴'²⁶₀", "half_girth_type": [ 3, 3, @@ -4379,18 +4948,19 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3, 27 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{18,26,26}_0", + "name": "G^{18,26,26}_0", + "name_utf8": "G¹⁸'²⁶'²⁶₀", "half_girth_type": [ 3, 3, @@ -4425,22 +4995,27 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$G_{2}(3)$": 2 + "G_{2}(3)": 2 } ], "alternating_quotients": [ 3, 13 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "G₂(3)": 2 + } + ] }, { - "name": "$G^{18,26,26}_1", + "name": "G^{18,26,26}_1", + "name_utf8": "G¹⁸'²⁶'²⁶₁", "half_girth_type": [ 3, 3, @@ -4475,15 +5050,13 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$G_{2}(3)$": 1 + "G_{2}(3)": 1 } ], "alternating_quotients": [ @@ -4491,10 +5064,20 @@ 13, 27 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "G₂(3)": 1 + } + ] }, { - "name": "$G^{24,24,24}_0", + "name": "G^{24,24,24}_0", + "name_utf8": "G²⁴'²⁴'²⁴₀", "half_girth_type": [ 3, 3, @@ -4526,24 +5109,22 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{7}$": 3 + "Alt(7)": 3 }, { - "$\\textrm{M}_{12}$": 1 + "M_{12}": 1 }, { - "$A_{2}(7)$": 1 + "A_{2}(7)": 1 }, { - "$B_{2}(5)$": 3 + "B_{2}(5)": 3 }, { - "$A_{4}(2)$": 1 + "A_{4}(2)": 1 } ], "alternating_quotients": [ @@ -4570,10 +5151,29 @@ 35, 36 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(7)": 3 + }, + { + "M₁₂": 1 + }, + { + "A₂(7)": 1 + }, + { + "B₂(5)": 3 + }, + { + "A₄(2)": 1 + } + ] }, { - "name": "$G^{24,24,24}_1", + "name": "G^{24,24,24}_1", + "name_utf8": "G²⁴'²⁴'²⁴₁", "half_girth_type": [ 3, 3, @@ -4608,15 +5208,13 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{M}_{22}$": 1 + "M_{22}": 1 }, { - "${}^2A_{3}(9)$": 3 + "{}^2A_{3}(9)": 3 } ], "alternating_quotients": [ @@ -4648,10 +5246,20 @@ 35, 36 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "M₂₂": 1 + }, + { + "²A₃(9)": 3 + } + ] }, { - "name": "$G^{24,24,26}_0", + "name": "G^{24,24,26}_0", + "name_utf8": "G²⁴'²⁴'²⁶₀", "half_girth_type": [ 3, 3, @@ -4683,18 +5291,19 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3, 4 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{24,24,26}_1", + "name": "G^{24,24,26}_1", + "name_utf8": "G²⁴'²⁴'²⁶₁", "half_girth_type": [ 3, 3, @@ -4734,7 +5343,7 @@ ], "quotients": [ { - "$A_{3}(3)$": 1 + "A_{3}(3)": 1 } ], "alternating_quotients": [ @@ -4747,10 +5356,19 @@ 27, 28 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [ + "L₂(13)" + ], + "quotients_utf8": [ + { + "A₃(3)": 1 + } + ] }, { - "name": "$G^{24,26,26}_0", + "name": "G^{24,26,26}_0", + "name_utf8": "G²⁴'²⁶'²⁶₀", "half_girth_type": [ 3, 3, @@ -4782,19 +5400,20 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3, 26, 28 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{24,26,26}_1", + "name": "G^{24,26,26}_1", + "name_utf8": "G²⁴'²⁶'²⁶₁", "half_girth_type": [ 3, 3, @@ -4834,10 +5453,10 @@ ], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$A_{3}(3)$": 1 + "A_{3}(3)": 1 } ], "alternating_quotients": [ @@ -4846,10 +5465,22 @@ 14, 27 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [ + "L₂(13)" + ], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "A₃(3)": 1 + } + ] }, { - "name": "$G^{24,26,26}_3", + "name": "G^{24,26,26}_3", + "name_utf8": "G²⁴'²⁶'²⁶₃", "half_girth_type": [ 3, 3, @@ -4884,12 +5515,10 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 } ], "alternating_quotients": [ @@ -4899,10 +5528,17 @@ 16, 26 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + } + ] }, { - "name": "$G^{24,26,26}_5", + "name": "G^{24,26,26}_5", + "name_utf8": "G²⁴'²⁶'²⁶₅", "half_girth_type": [ 3, 3, @@ -4939,10 +5575,10 @@ ], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$A_{3}(3)$": 1 + "A_{3}(3)": 1 } ], "alternating_quotients": [ @@ -4953,10 +5589,22 @@ 27, 28 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [ + "L₂(13)" + ], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "A₃(3)": 1 + } + ] }, { - "name": "$G^{26,26,26}_0", + "name": "G^{26,26,26}_0", + "name_utf8": "G²⁶'²⁶'²⁶₀", "half_girth_type": [ 3, 3, @@ -4988,25 +5636,33 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 1 + "A_{2}(3)": 1 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ 3, 26 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 1 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{26,26,26}_1", + "name": "G^{26,26,26}_1", + "name_utf8": "G²⁶'²⁶'²⁶₁", "half_girth_type": [ 3, 3, @@ -5041,28 +5697,39 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "${}^2A_{2}(16)$": 2 + "{}^2A_{2}(16)": 2 }, { - "$G_{2}(3)$": 6 + "G_{2}(3)": 6 } ], "alternating_quotients": [ 13, 26 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "²A₂(16)": 2 + }, + { + "G₂(3)": 6 + } + ] }, { - "name": "$G^{26,26,26}_5", + "name": "G^{26,26,26}_5", + "name_utf8": "G²⁶'²⁶'²⁶₅", "half_girth_type": [ 3, 3, @@ -5094,24 +5761,32 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "${}^2A_{2}(16)$": 1 + "{}^2A_{2}(16)": 1 } ], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "²A₂(16)": 1 + } + ] }, { - "name": "$G^{26,26,26}_21", + "name": "G^{26,26,26}_21", + "name_utf8": "G²⁶'²⁶'²⁶₂1", "half_girth_type": [ 3, 3, @@ -5151,26 +5826,44 @@ ], "quotients": [ { - "$A_{2}(3)$": 5 + "A_{2}(3)": 5 }, { - "${}^2A_{2}(16)$": 3 + "{}^2A_{2}(16)": 3 }, { - "$G_{2}(3)$": 1 + "G_{2}(3)": 1 }, { - "${}^2F_4(2)'$": 1 + "{}^2F_4(2)'": 1 } ], "alternating_quotients": [ 13, 30 ], - "maximal_degree_alternating_quotients": 36 + "maximal_degree_alternating_quotients": 36, + "L2_quotients_utf8": [ + "L₂(13)" + ], + "quotients_utf8": [ + { + "A₂(3)": 5 + }, + { + "²A₂(16)": 3 + }, + { + "G₂(3)": 1 + }, + { + "²F₄(2)'": 1 + } + ] }, { - "name": "$G^{14,14,40}_0", + "name": "G^{14,14,40}_0", + "name_utf8": "G¹⁴'¹⁴'⁴⁰₀", "half_girth_type": [ 3, 3, @@ -5205,22 +5898,37 @@ ], "quotients": [ { - "$\\textrm{Alt}_{7}$": 1 + "Alt(7)": 1 }, { - "$\\textrm{J}_{1}$": 2 + "J_{1}": 2 }, { - "${}^2A_{3}(9)$": 1 + "{}^2A_{3}(9)": 1 } ], "alternating_quotients": [ 7 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(7²)" + ], + "quotients_utf8": [ + { + "Alt(7)": 1 + }, + { + "J₁": 2 + }, + { + "²A₃(9)": 1 + } + ] }, { - "name": "$G^{14,14,40}_4", + "name": "G^{14,14,40}_4", + "name_utf8": "G¹⁴'¹⁴'⁴⁰₄", "half_girth_type": [ 3, 3, @@ -5250,25 +5958,33 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": null, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{7}$": 2 + "Alt(7)": 2 }, { - "$\\textrm{M}_{22}$": 1 + "M_{22}": 1 } ], "alternating_quotients": [ 7, 28 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(7)": 2 + }, + { + "M₂₂": 1 + } + ] }, { - "name": "$G^{14,14,48}_0", + "name": "G^{14,14,48}_0", + "name_utf8": "G¹⁴'¹⁴'⁴⁸₀", "half_girth_type": [ 3, 3, @@ -5302,20 +6018,32 @@ ], "quotients": [ { - "$\\textrm{Alt}_{7}$": 1 + "Alt(7)": 1 }, { - "${}^2A_{2}(25)$": 1 + "{}^2A_{2}(25)": 1 } ], "alternating_quotients": [ 3, 7 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(7)" + ], + "quotients_utf8": [ + { + "Alt(7)": 1 + }, + { + "²A₂(25)": 1 + } + ] }, { - "name": "$G^{14,14,48}_1", + "name": "G^{14,14,48}_1", + "name_utf8": "G¹⁴'¹⁴'⁴⁸₁", "half_girth_type": [ 3, 3, @@ -5349,17 +6077,26 @@ ], "quotients": [ { - "$\\textrm{Alt}_{8}$ or $A_{2}(4)$": 1 + "Alt(8) or A_{2}(4)": 1 } ], "alternating_quotients": [ 3, 8 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(7)" + ], + "quotients_utf8": [ + { + "Alt(8) or A₂(4)": 1 + } + ] }, { - "name": "$G^{14,14,48}_4", + "name": "G^{14,14,48}_4", + "name_utf8": "G¹⁴'¹⁴'⁴⁸₄", "half_girth_type": [ 3, 3, @@ -5388,22 +6125,27 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{7}$": 1 + "Alt(7)": 1 } ], "alternating_quotients": [ 3, 7 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(7)": 1 + } + ] }, { - "name": "$G^{14,14,48}_5", + "name": "G^{14,14,48}_5", + "name_utf8": "G¹⁴'¹⁴'⁴⁸₅", "half_girth_type": [ 3, 3, @@ -5432,15 +6174,13 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{8}$ or $A_{2}(4)$": 1 + "Alt(8) or A_{2}(4)": 1 }, { - "$\\textrm{M}_{22}$": 1 + "M_{22}": 1 } ], "alternating_quotients": [ @@ -5448,10 +6188,20 @@ 8, 21 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(8) or A₂(4)": 1 + }, + { + "M₂₂": 1 + } + ] }, { - "name": "$G^{14,14,54}_0", + "name": "G^{14,14,54}_0", + "name_utf8": "G¹⁴'¹⁴'⁵⁴₀", "half_girth_type": [ 3, 3, @@ -5481,21 +6231,26 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "${}^2A_{2}(9)$": 1 + "{}^2A_{2}(9)": 1 } ], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "²A₂(9)": 1 + } + ] }, { - "name": "$G^{14,14,54}_4", + "name": "G^{14,14,54}_4", + "name_utf8": "G¹⁴'¹⁴'⁵⁴₄", "half_girth_type": [ 3, 3, @@ -5525,17 +6280,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,16,40}_0", + "name": "G^{14,16,40}_0", + "name_utf8": "G¹⁴'¹⁶'⁴⁰₀", "half_girth_type": [ 3, 3, @@ -5570,10 +6326,15 @@ ], "quotients": [], "alternating_quotients": [], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(7²)" + ], + "quotients_utf8": [] }, { - "name": "$G^{14,16,48}_0", + "name": "G^{14,16,48}_0", + "name_utf8": "G¹⁴'¹⁶'⁴⁸₀", "half_girth_type": [ 3, 3, @@ -5602,18 +6363,19 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3, 4 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,16,48}_1", + "name": "G^{14,16,48}_1", + "name_utf8": "G¹⁴'¹⁶'⁴⁸₁", "half_girth_type": [ 3, 3, @@ -5649,10 +6411,15 @@ "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(7)" + ], + "quotients_utf8": [] }, { - "name": "$G^{14,16,54}_0", + "name": "G^{14,16,54}_0", + "name_utf8": "G¹⁴'¹⁶'⁵⁴₀", "half_girth_type": [ 3, 3, @@ -5682,17 +6449,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,16,54}_2", + "name": "G^{14,16,54}_2", + "name_utf8": "G¹⁴'¹⁶'⁵⁴₂", "half_girth_type": [ 3, 3, @@ -5722,17 +6490,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,18,40}_0", + "name": "G^{14,18,40}_0", + "name_utf8": "G¹⁴'¹⁸'⁴⁰₀", "half_girth_type": [ 3, 3, @@ -5763,22 +6532,27 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": null, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{J}_{2}$": 1 + "J_{2}": 1 } ], "alternating_quotients": [ 21, 25 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "J₂": 1 + } + ] }, { - "name": "$G^{14,18,48}_0", + "name": "G^{14,18,48}_0", + "name_utf8": "G¹⁴'¹⁸'⁴⁸₀", "half_girth_type": [ 3, 3, @@ -5808,21 +6582,26 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": null, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$G_{2}(3)$": 1 + "G_{2}(3)": 1 } ], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "G₂(3)": 1 + } + ] }, { - "name": "$G^{14,18,54}_0", + "name": "G^{14,18,54}_0", + "name_utf8": "G¹⁴'¹⁸'⁵⁴₀", "half_girth_type": [ 3, 3, @@ -5853,17 +6632,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,18,54}_2", + "name": "G^{14,18,54}_2", + "name_utf8": "G¹⁴'¹⁸'⁵⁴₂", "half_girth_type": [ 3, 3, @@ -5894,9 +6674,7 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3, @@ -5904,10 +6682,13 @@ 28, 29 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,24,40}_0", + "name": "G^{14,24,40}_0", + "name_utf8": "G¹⁴'²⁴'⁴⁰₀", "half_girth_type": [ 3, 3, @@ -5943,23 +6724,38 @@ ], "quotients": [ { - "$\\textrm{Alt}_{7}$": 1 + "Alt(7)": 1 }, { - "$\\textrm{Alt}_{10}$": 1 + "Alt(10)": 1 }, { - "$A_{4}(2)$": 1 + "A_{4}(2)": 1 } ], "alternating_quotients": [ 7, 10 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(7²)" + ], + "quotients_utf8": [ + { + "Alt(7)": 1 + }, + { + "Alt(10)": 1 + }, + { + "A₄(2)": 1 + } + ] }, { - "name": "$G^{14,24,48}_0", + "name": "G^{14,24,48}_0", + "name_utf8": "G¹⁴'²⁴'⁴⁸₀", "half_girth_type": [ 3, 3, @@ -5989,18 +6785,19 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3, 4 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,24,48}_1", + "name": "G^{14,24,48}_1", + "name_utf8": "G¹⁴'²⁴'⁴⁸₁", "half_girth_type": [ 3, 3, @@ -6035,19 +6832,19 @@ ], "quotients": [ { - "$\\textrm{Alt}_{7}$": 1 + "Alt(7)": 1 }, { - "$\\textrm{Alt}_{8}$ or $A_{2}(4)$": 1 + "Alt(8) or A_{2}(4)": 1 }, { - "$\\textrm{J}_{2}$": 1 + "J_{2}": 1 }, { - "$C_{3}(2)$": 1 + "C_{3}(2)": 1 }, { - "${}^2A_{3}(9)$": 1 + "{}^2A_{3}(9)": 1 } ], "alternating_quotients": [ @@ -6059,10 +6856,31 @@ 28, 29 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(7)" + ], + "quotients_utf8": [ + { + "Alt(7)": 1 + }, + { + "Alt(8) or A₂(4)": 1 + }, + { + "J₂": 1 + }, + { + "C₃(2)": 1 + }, + { + "²A₃(9)": 1 + } + ] }, { - "name": "$G^{14,24,54}_0", + "name": "G^{14,24,54}_0", + "name_utf8": "G¹⁴'²⁴'⁵⁴₀", "half_girth_type": [ 3, 3, @@ -6093,18 +6911,19 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3, 18 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,24,54}_2", + "name": "G^{14,24,54}_2", + "name_utf8": "G¹⁴'²⁴'⁵⁴₂", "half_girth_type": [ 3, 3, @@ -6135,15 +6954,13 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$C_{3}(2)$": 1 + "C_{3}(2)": 1 }, { - "${}^2A_{3}(9)$": 1 + "{}^2A_{3}(9)": 1 } ], "alternating_quotients": [ @@ -6152,10 +6969,20 @@ 21, 28 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "C₃(2)": 1 + }, + { + "²A₃(9)": 1 + } + ] }, { - "name": "$G^{14,26,40}_0", + "name": "G^{14,26,40}_0", + "name_utf8": "G¹⁴'²⁶'⁴⁰₀", "half_girth_type": [ 3, 3, @@ -6186,15 +7013,16 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,26,40}_4", + "name": "G^{14,26,40}_4", + "name_utf8": "G¹⁴'²⁶'⁴⁰₄", "half_girth_type": [ 3, 3, @@ -6225,15 +7053,16 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,26,48}_0", + "name": "G^{14,26,48}_0", + "name_utf8": "G¹⁴'²⁶'⁴⁸₀", "half_girth_type": [ 3, 3, @@ -6263,17 +7092,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,26,48}_1", + "name": "G^{14,26,48}_1", + "name_utf8": "G¹⁴'²⁶'⁴⁸₁", "half_girth_type": [ 3, 3, @@ -6303,17 +7133,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,26,48}_4", + "name": "G^{14,26,48}_4", + "name_utf8": "G¹⁴'²⁶'⁴⁸₄", "half_girth_type": [ 3, 3, @@ -6343,17 +7174,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,26,48}_5", + "name": "G^{14,26,48}_5", + "name_utf8": "G¹⁴'²⁶'⁴⁸₅", "half_girth_type": [ 3, 3, @@ -6383,17 +7215,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,26,54}_0", + "name": "G^{14,26,54}_0", + "name_utf8": "G¹⁴'²⁶'⁵⁴₀", "half_girth_type": [ 3, 3, @@ -6424,17 +7257,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,26,54}_2", + "name": "G^{14,26,54}_2", + "name_utf8": "G¹⁴'²⁶'⁵⁴₂", "half_girth_type": [ 3, 3, @@ -6465,17 +7299,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,26,54}_4", + "name": "G^{14,26,54}_4", + "name_utf8": "G¹⁴'²⁶'⁵⁴₄", "half_girth_type": [ 3, 3, @@ -6506,17 +7341,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,26,54}_6", + "name": "G^{14,26,54}_6", + "name_utf8": "G¹⁴'²⁶'⁵⁴₆", "half_girth_type": [ 3, 3, @@ -6547,17 +7383,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{16,16,40}_0", + "name": "G^{16,16,40}_0", + "name_utf8": "G¹⁶'¹⁶'⁴⁰₀", "half_girth_type": [ 3, 3, @@ -6587,27 +7424,25 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{M}_{11}$": 1 + "M_{11}": 1 }, { - "$B_{2}(3)$": 1 + "B_{2}(3)": 1 }, { - "$\\textrm{J}_{2}$": 2 + "J_{2}": 2 }, { - "${}^2A_{3}(9)$": 1 + "{}^2A_{3}(9)": 1 }, { - "$B_{2}(5)$": 1 + "B_{2}(5)": 1 }, { - "$A_{3}(3)$": 2 + "A_{3}(3)": 2 } ], "alternating_quotients": [ @@ -6616,10 +7451,32 @@ 26, 28 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "M₁₁": 1 + }, + { + "B₂(3)": 1 + }, + { + "J₂": 2 + }, + { + "²A₃(9)": 1 + }, + { + "B₂(5)": 1 + }, + { + "A₃(3)": 2 + } + ] }, { - "name": "$G^{16,16,48}_0", + "name": "G^{16,16,48}_0", + "name_utf8": "G¹⁶'¹⁶'⁴⁸₀", "half_girth_type": [ 3, 3, @@ -6648,24 +7505,22 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 1 + "A_{2}(3)": 1 }, { - "${}^2A_{2}(9)$": 2 + "{}^2A_{2}(9)": 2 }, { - "$\\textrm{Alt}_{9}$": 1 + "Alt(9)": 1 }, { - "${}^2A_{2}(81)$": 2 + "{}^2A_{2}(81)": 2 }, { - "$\\textrm{HS}_{}$": 1 + "HS": 1 } ], "alternating_quotients": [ @@ -6678,10 +7533,29 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 1 + }, + { + "²A₂(9)": 2 + }, + { + "Alt(9)": 1 + }, + { + "²A₂(81)": 2 + }, + { + "HS": 1 + } + ] }, { - "name": "$G^{16,16,48}_1", + "name": "G^{16,16,48}_1", + "name_utf8": "G¹⁶'¹⁶'⁴⁸₁", "half_girth_type": [ 3, 3, @@ -6710,33 +7584,31 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "${}^2A_{2}(9)$": 1 + "{}^2A_{2}(9)": 1 }, { - "$\\textrm{J}_{2}$": 1 + "J_{2}": 1 }, { - "$\\textrm{Alt}_{10}$": 1 + "Alt(10)": 1 }, { - "$B_{2}(5)$": 1 + "B_{2}(5)": 1 }, { - "${}^2A_{2}(64)$": 2 + "{}^2A_{2}(64)": 2 }, { - "$A_{4}(2)$": 1 + "A_{4}(2)": 1 }, { - "$A_{2}(9)$": 1 + "A_{2}(9)": 1 }, { - "${}^2A_{2}(81)$": 2 + "{}^2A_{2}(81)": 2 } ], "alternating_quotients": [ @@ -6744,10 +7616,38 @@ 4, 10 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "²A₂(9)": 1 + }, + { + "J₂": 1 + }, + { + "Alt(10)": 1 + }, + { + "B₂(5)": 1 + }, + { + "²A₂(64)": 2 + }, + { + "A₄(2)": 1 + }, + { + "A₂(9)": 1 + }, + { + "²A₂(81)": 2 + } + ] }, { - "name": "$G^{16,16,54}_0", + "name": "G^{16,16,54}_0", + "name_utf8": "G¹⁶'¹⁶'⁵⁴₀", "half_girth_type": [ 3, 3, @@ -6777,18 +7677,16 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$B_{2}(3)$": 1 + "B_{2}(3)": 1 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -6800,10 +7698,23 @@ 26, 27 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "B₂(3)": 1 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{16,18,40}_0", + "name": "G^{16,18,40}_0", + "name_utf8": "G¹⁶'¹⁸'⁴⁰₀", "half_girth_type": [ 3, 3, @@ -6839,10 +7750,10 @@ ], "quotients": [ { - "$B_{2}(3)$": 2 + "B_{2}(3)": 2 }, { - "$\\textrm{M}_{12}$": 5 + "M_{12}": 5 } ], "alternating_quotients": [ @@ -6852,10 +7763,22 @@ 27, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(3²)" + ], + "quotients_utf8": [ + { + "B₂(3)": 2 + }, + { + "M₁₂": 5 + } + ] }, { - "name": "$G^{16,18,48}_0", + "name": "G^{16,18,48}_0", + "name_utf8": "G¹⁶'¹⁸'⁴⁸₀", "half_girth_type": [ 3, 3, @@ -6885,18 +7808,16 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$\\textrm{Alt}_{10}$": 1 + "Alt(10)": 1 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -6907,10 +7828,23 @@ 19, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "Alt(10)": 1 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{16,18,54}_0", + "name": "G^{16,18,54}_0", + "name_utf8": "G¹⁶'¹⁸'⁵⁴₀", "half_girth_type": [ 3, 3, @@ -6941,18 +7875,16 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "${}^2A_{2}(64)$": 2 + "{}^2A_{2}(64)": 2 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -6962,10 +7894,23 @@ 26, 27 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "²A₂(64)": 2 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{16,18,54}_2", + "name": "G^{16,18,54}_2", + "name_utf8": "G¹⁶'¹⁸'⁵⁴₂", "half_girth_type": [ 3, 3, @@ -6996,18 +7941,16 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "${}^2A_{2}(64)$": 2 + "{}^2A_{2}(64)": 2 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -7023,10 +7966,23 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "²A₂(64)": 2 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{16,24,40}_0", + "name": "G^{16,24,40}_0", + "name_utf8": "G¹⁶'²⁴'⁴⁰₀", "half_girth_type": [ 3, 3, @@ -7062,13 +8018,13 @@ ], "quotients": [ { - "$B_{2}(5)$": 2 + "B_{2}(5)": 2 }, { - "$A_{4}(2)$": 3 + "A_{4}(2)": 3 }, { - "$\\textrm{Alt}_{11}$": 2 + "Alt(11)": 2 } ], "alternating_quotients": [ @@ -7078,10 +8034,25 @@ 21, 22 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(3²)" + ], + "quotients_utf8": [ + { + "B₂(5)": 2 + }, + { + "A₄(2)": 3 + }, + { + "Alt(11)": 2 + } + ] }, { - "name": "$G^{16,24,48}_0", + "name": "G^{16,24,48}_0", + "name_utf8": "G¹⁶'²⁴'⁴⁸₀", "half_girth_type": [ 3, 3, @@ -7111,18 +8082,16 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{9}$": 1 + "Alt(9)": 1 }, { - "$C_{3}(2)$": 5 + "C_{3}(2)": 5 }, { - "$\\textrm{HS}_{}$": 1 + "HS": 1 } ], "alternating_quotients": [ @@ -7146,10 +8115,23 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(9)": 1 + }, + { + "C₃(2)": 5 + }, + { + "HS": 1 + } + ] }, { - "name": "$G^{16,24,48}_1", + "name": "G^{16,24,48}_1", + "name_utf8": "G¹⁶'²⁴'⁴⁸₁", "half_girth_type": [ 3, 3, @@ -7179,39 +8161,37 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{7}$": 1 + "Alt(7)": 1 }, { - "$\\textrm{Alt}_{8}$ or $A_{2}(4)$": 2 + "Alt(8) or A_{2}(4)": 2 }, { - "${}^2A_{2}(25)$": 1 + "{}^2A_{2}(25)": 1 }, { - "$\\textrm{J}_{2}$": 1 + "J_{2}": 1 }, { - "$C_{3}(2)$": 2 + "C_{3}(2)": 2 }, { - "$\\textrm{Alt}_{10}$": 1 + "Alt(10)": 1 }, { - "${}^2A_{3}(9)$": 1 + "{}^2A_{3}(9)": 1 }, { - "$B_{2}(5)$": 1 + "B_{2}(5)": 1 }, { - "$A_{4}(2)$": 1 + "A_{4}(2)": 1 }, { - "$\\textrm{HS}_{}$": 1 + "HS": 1 } ], "alternating_quotients": [ @@ -7236,10 +8216,44 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(7)": 1 + }, + { + "Alt(8) or A₂(4)": 2 + }, + { + "²A₂(25)": 1 + }, + { + "J₂": 1 + }, + { + "C₃(2)": 2 + }, + { + "Alt(10)": 1 + }, + { + "²A₃(9)": 1 + }, + { + "B₂(5)": 1 + }, + { + "A₄(2)": 1 + }, + { + "HS": 1 + } + ] }, { - "name": "$G^{16,24,54}_0", + "name": "G^{16,24,54}_0", + "name_utf8": "G¹⁶'²⁴'⁵⁴₀", "half_girth_type": [ 3, 3, @@ -7270,18 +8284,16 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{9}$": 1 + "Alt(9)": 1 }, { - "$C_{3}(2)$": 1 + "C_{3}(2)": 1 }, { - "$\\textrm{Alt}_{10}$": 1 + "Alt(10)": 1 } ], "alternating_quotients": [ @@ -7299,10 +8311,23 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(9)": 1 + }, + { + "C₃(2)": 1 + }, + { + "Alt(10)": 1 + } + ] }, { - "name": "$G^{16,24,54}_2", + "name": "G^{16,24,54}_2", + "name_utf8": "G¹⁶'²⁴'⁵⁴₂", "half_girth_type": [ 3, 3, @@ -7333,15 +8358,13 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$B_{2}(3)$": 1 + "B_{2}(3)": 1 }, { - "$\\textrm{Alt}_{10}$": 3 + "Alt(10)": 3 } ], "alternating_quotients": [ @@ -7361,10 +8384,20 @@ 28, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "B₂(3)": 1 + }, + { + "Alt(10)": 3 + } + ] }, { - "name": "$G^{16,26,40}_0", + "name": "G^{16,26,40}_0", + "name_utf8": "G¹⁶'²⁶'⁴⁰₀", "half_girth_type": [ 3, 3, @@ -7400,14 +8433,23 @@ ], "quotients": [ { - "${}^2F_4(2)'$": 1 + "{}^2F_4(2)'": 1 } ], "alternating_quotients": [], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(13²)" + ], + "quotients_utf8": [ + { + "²F₄(2)'": 1 + } + ] }, { - "name": "$G^{16,26,48}_0", + "name": "G^{16,26,48}_0", + "name_utf8": "G¹⁶'²⁶'⁴⁸₀", "half_girth_type": [ 3, 3, @@ -7446,10 +8488,15 @@ 16, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(13)" + ], + "quotients_utf8": [] }, { - "name": "$G^{16,26,48}_1", + "name": "G^{16,26,48}_1", + "name_utf8": "G¹⁶'²⁶'⁴⁸₁", "half_girth_type": [ 3, 3, @@ -7479,18 +8526,19 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3, 4 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{16,26,54}_0", + "name": "G^{16,26,54}_0", + "name_utf8": "G¹⁶'²⁶'⁵⁴₀", "half_girth_type": [ 3, 3, @@ -7521,17 +8569,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{16,26,54}_2", + "name": "G^{16,26,54}_2", + "name_utf8": "G¹⁶'²⁶'⁵⁴₂", "half_girth_type": [ 3, 3, @@ -7562,18 +8611,19 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3, 28 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{18,18,40}_0", + "name": "G^{18,18,40}_0", + "name_utf8": "G¹⁸'¹⁸'⁴⁰₀", "half_girth_type": [ 3, 3, @@ -7605,15 +8655,13 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{M}_{12}$": 2 + "M_{12}": 2 }, { - "$A_{3}(3)$": 4 + "A_{3}(3)": 4 } ], "alternating_quotients": [ @@ -7632,10 +8680,20 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "M₁₂": 2 + }, + { + "A₃(3)": 4 + } + ] }, { - "name": "$G^{18,18,48}_0", + "name": "G^{18,18,48}_0", + "name_utf8": "G¹⁸'¹⁸'⁴⁸₀", "half_girth_type": [ 3, 3, @@ -7666,24 +8724,22 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$\\textrm{Alt}_{10}$": 1 + "Alt(10)": 1 }, { - "${}^2A_{2}(64)$": 2 + "{}^2A_{2}(64)": 2 }, { - "$\\textrm{Alt}_{11}$": 1 + "Alt(11)": 1 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -7705,10 +8761,29 @@ 28, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "Alt(10)": 1 + }, + { + "²A₂(64)": 2 + }, + { + "Alt(11)": 1 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{18,18,54}_0", + "name": "G^{18,18,54}_0", + "name_utf8": "G¹⁸'¹⁸'⁵⁴₀", "half_girth_type": [ 3, 3, @@ -7740,15 +8815,13 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -7763,10 +8836,20 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{18,24,40}_0", + "name": "G^{18,24,40}_0", + "name_utf8": "G¹⁸'²⁴'⁴⁰₀", "half_girth_type": [ 3, 3, @@ -7803,19 +8886,19 @@ ], "quotients": [ { - "$\\textrm{M}_{12}$": 6 + "M_{12}": 6 }, { - "$\\textrm{Alt}_{10}$": 2 + "Alt(10)": 2 }, { - "${}^2A_{3}(9)$": 2 + "{}^2A_{3}(9)": 2 }, { - "$A_{3}(3)$": 3 + "A_{3}(3)": 3 }, { - "$\\textrm{Alt}_{11}$": 4 + "Alt(11)": 4 } ], "alternating_quotients": [ @@ -7839,10 +8922,31 @@ 28, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(3²)" + ], + "quotients_utf8": [ + { + "M₁₂": 6 + }, + { + "Alt(10)": 2 + }, + { + "²A₃(9)": 2 + }, + { + "A₃(3)": 3 + }, + { + "Alt(11)": 4 + } + ] }, { - "name": "$G^{18,24,48}_0", + "name": "G^{18,24,48}_0", + "name_utf8": "G¹⁸'²⁴'⁴⁸₀", "half_girth_type": [ 3, 3, @@ -7873,21 +8977,19 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{10}$": 2 + "Alt(10)": 2 }, { - "${}^2A_{3}(9)$": 1 + "{}^2A_{3}(9)": 1 }, { - "$A_{3}(3)$": 2 + "A_{3}(3)": 2 }, { - "$\\textrm{Alt}_{11}$": 1 + "Alt(11)": 1 } ], "alternating_quotients": [ @@ -7912,10 +9014,26 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(10)": 2 + }, + { + "²A₃(9)": 1 + }, + { + "A₃(3)": 2 + }, + { + "Alt(11)": 1 + } + ] }, { - "name": "$G^{18,24,54}_0", + "name": "G^{18,24,54}_0", + "name_utf8": "G¹⁸'²⁴'⁵⁴₀", "half_girth_type": [ 3, 3, @@ -7947,18 +9065,16 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{10}$": 2 + "Alt(10)": 2 }, { - "$A_{3}(3)$": 4 + "A_{3}(3)": 4 }, { - "$\\textrm{Alt}_{11}$": 2 + "Alt(11)": 2 } ], "alternating_quotients": [ @@ -7982,10 +9098,23 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(10)": 2 + }, + { + "A₃(3)": 4 + }, + { + "Alt(11)": 2 + } + ] }, { - "name": "$G^{18,24,54}_2", + "name": "G^{18,24,54}_2", + "name_utf8": "G¹⁸'²⁴'⁵⁴₂", "half_girth_type": [ 3, 3, @@ -8017,18 +9146,16 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{9}$": 2 + "Alt(9)": 2 }, { - "$\\textrm{Alt}_{10}$": 1 + "Alt(10)": 1 }, { - "$\\textrm{Alt}_{11}$": 1 + "Alt(11)": 1 } ], "alternating_quotients": [ @@ -8052,10 +9179,23 @@ 28, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(9)": 2 + }, + { + "Alt(10)": 1 + }, + { + "Alt(11)": 1 + } + ] }, { - "name": "$G^{18,26,40}_0", + "name": "G^{18,26,40}_0", + "name_utf8": "G¹⁸'²⁶'⁴⁰₀", "half_girth_type": [ 3, 3, @@ -8087,15 +9227,16 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{18,26,48}_0", + "name": "G^{18,26,48}_0", + "name_utf8": "G¹⁸'²⁶'⁴⁸₀", "half_girth_type": [ 3, 3, @@ -8126,22 +9267,27 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": null, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$G_{2}(3)$": 1 + "G_{2}(3)": 1 } ], "alternating_quotients": [ 3, 27 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "G₂(3)": 1 + } + ] }, { - "name": "$G^{18,26,54}_0", + "name": "G^{18,26,54}_0", + "name_utf8": "G¹⁸'²⁶'⁵⁴₀", "half_girth_type": [ 3, 3, @@ -8173,15 +9319,13 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -8190,10 +9334,20 @@ 26, 27 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{18,26,54}_2", + "name": "G^{18,26,54}_2", + "name_utf8": "G¹⁸'²⁶'⁵⁴₂", "half_girth_type": [ 3, 3, @@ -8225,25 +9379,33 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ 3, 13 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{24,24,40}_0", + "name": "G^{24,24,40}_0", + "name_utf8": "G²⁴'²⁴'⁴⁰₀", "half_girth_type": [ 3, 3, @@ -8281,28 +9443,28 @@ ], "quotients": [ { - "$\\textrm{Alt}_{7}$": 2 + "Alt(7)": 2 }, { - "$\\textrm{M}_{22}$": 2 + "M_{22}": 2 }, { - "$\\textrm{J}_{2}$": 4 + "J_{2}": 4 }, { - "$C_{2}(4)$": 4 + "C_{2}(4)": 4 }, { - "$C_{3}(2)$": 1 + "C_{3}(2)": 1 }, { - "$B_{2}(5)$": 8 + "B_{2}(5)": 8 }, { - "$A_{3}(3)$": 1 + "A_{3}(3)": 1 }, { - "$A_{4}(2)$": 2 + "A_{4}(2)": 2 } ], "alternating_quotients": [ @@ -8326,10 +9488,41 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(3²)", + "L₂(3²)" + ], + "quotients_utf8": [ + { + "Alt(7)": 2 + }, + { + "M₂₂": 2 + }, + { + "J₂": 4 + }, + { + "C₂(4)": 4 + }, + { + "C₃(2)": 1 + }, + { + "B₂(5)": 8 + }, + { + "A₃(3)": 1 + }, + { + "A₄(2)": 2 + } + ] }, { - "name": "$G^{24,24,48}_0", + "name": "G^{24,24,48}_0", + "name_utf8": "G²⁴'²⁴'⁴⁸₀", "half_girth_type": [ 3, 3, @@ -8360,24 +9553,22 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{M}_{22}$": 1 + "M_{22}": 1 }, { - "$C_{3}(2)$": 6 + "C_{3}(2)": 6 }, { - "${}^2A_{3}(9)$": 5 + "{}^2A_{3}(9)": 5 }, { - "$B_{2}(5)$": 2 + "B_{2}(5)": 2 }, { - "$A_{3}(3)$": 1 + "A_{3}(3)": 1 } ], "alternating_quotients": [ @@ -8404,10 +9595,29 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "M₂₂": 1 + }, + { + "C₃(2)": 6 + }, + { + "²A₃(9)": 5 + }, + { + "B₂(5)": 2 + }, + { + "A₃(3)": 1 + } + ] }, { - "name": "$G^{24,24,48}_1", + "name": "G^{24,24,48}_1", + "name_utf8": "G²⁴'²⁴'⁴⁸₁", "half_girth_type": [ 3, 3, @@ -8438,45 +9648,43 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{7}$": 3 + "Alt(7)": 3 }, { - "$\\textrm{Alt}_{8}$ or $A_{2}(4)$": 2 + "Alt(8) or A_{2}(4)": 2 }, { - "$\\textrm{M}_{12}$": 1 + "M_{12}": 1 }, { - "${}^2A_{2}(25)$": 1 + "{}^2A_{2}(25)": 1 }, { - "$\\textrm{J}_{2}$": 1 + "J_{2}": 1 }, { - "$C_{3}(2)$": 3 + "C_{3}(2)": 3 }, { - "$A_{2}(7)$": 1 + "A_{2}(7)": 1 }, { - "${}^2A_{3}(9)$": 1 + "{}^2A_{3}(9)": 1 }, { - "$B_{2}(5)$": 3 + "B_{2}(5)": 3 }, { - "$A_{4}(2)$": 1 + "A_{4}(2)": 1 }, { - "${}^2A_{4}(4)$": 2 + "{}^2A_{4}(4)": 2 }, { - "$\\textrm{HS}_{}$": 1 + "HS": 1 } ], "alternating_quotients": [ @@ -8501,10 +9709,50 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(7)": 3 + }, + { + "Alt(8) or A₂(4)": 2 + }, + { + "M₁₂": 1 + }, + { + "²A₂(25)": 1 + }, + { + "J₂": 1 + }, + { + "C₃(2)": 3 + }, + { + "A₂(7)": 1 + }, + { + "²A₃(9)": 1 + }, + { + "B₂(5)": 3 + }, + { + "A₄(2)": 1 + }, + { + "²A₄(4)": 2 + }, + { + "HS": 1 + } + ] }, { - "name": "$G^{24,24,54}_0", + "name": "G^{24,24,54}_0", + "name_utf8": "G²⁴'²⁴'⁵⁴₀", "half_girth_type": [ 3, 3, @@ -8536,21 +9784,19 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{9}$": 3 + "Alt(9)": 3 }, { - "$\\textrm{Alt}_{10}$": 4 + "Alt(10)": 4 }, { - "${}^2A_{3}(9)$": 1 + "{}^2A_{3}(9)": 1 }, { - "$\\textrm{Alt}_{11}$": 2 + "Alt(11)": 2 } ], "alternating_quotients": [ @@ -8577,10 +9823,26 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(9)": 3 + }, + { + "Alt(10)": 4 + }, + { + "²A₃(9)": 1 + }, + { + "Alt(11)": 2 + } + ] }, { - "name": "$G^{24,26,40}_0", + "name": "G^{24,26,40}_0", + "name_utf8": "G²⁴'²⁶'⁴⁰₀", "half_girth_type": [ 3, 3, @@ -8617,10 +9879,15 @@ ], "quotients": [], "alternating_quotients": [], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(13²)" + ], + "quotients_utf8": [] }, { - "name": "$G^{24,26,48}_0", + "name": "G^{24,26,48}_0", + "name_utf8": "G²⁴'²⁶'⁴⁸₀", "half_girth_type": [ 3, 3, @@ -8656,7 +9923,7 @@ ], "quotients": [ { - "$A_{3}(3)$": 1 + "A_{3}(3)": 1 } ], "alternating_quotients": [ @@ -8671,10 +9938,19 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(13)" + ], + "quotients_utf8": [ + { + "A₃(3)": 1 + } + ] }, { - "name": "$G^{24,26,48}_1", + "name": "G^{24,26,48}_1", + "name_utf8": "G²⁴'²⁶'⁴⁸₁", "half_girth_type": [ 3, 3, @@ -8705,9 +9981,7 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3, @@ -8715,10 +9989,13 @@ 14, 28 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{24,26,54}_0", + "name": "G^{24,26,54}_0", + "name_utf8": "G²⁴'²⁶'⁵⁴₀", "half_girth_type": [ 3, 3, @@ -8750,12 +10027,10 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{3}(3)$": 1 + "A_{3}(3)": 1 } ], "alternating_quotients": [ @@ -8765,10 +10040,17 @@ 27, 28 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₃(3)": 1 + } + ] }, { - "name": "$G^{24,26,54}_2", + "name": "G^{24,26,54}_2", + "name_utf8": "G²⁴'²⁶'⁵⁴₂", "half_girth_type": [ 3, 3, @@ -8800,19 +10082,20 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3, 13, 27 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{26,26,40}_0", + "name": "G^{26,26,40}_0", + "name_utf8": "G²⁶'²⁶'⁴⁰₀", "half_girth_type": [ 3, 3, @@ -8844,17 +10127,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 13 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{26,26,40}_4", + "name": "G^{26,26,40}_4", + "name_utf8": "G²⁶'²⁶'⁴⁰₄", "half_girth_type": [ 3, 3, @@ -8891,20 +10175,32 @@ ], "quotients": [ { - "${}^2A_{2}(16)$": 1 + "{}^2A_{2}(16)": 1 }, { - "$A_{3}(3)$": 1 + "A_{3}(3)": 1 } ], "alternating_quotients": [ 13, 26 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(13²)" + ], + "quotients_utf8": [ + { + "²A₂(16)": 1 + }, + { + "A₃(3)": 1 + } + ] }, { - "name": "$G^{26,26,48}_0", + "name": "G^{26,26,48}_0", + "name_utf8": "G²⁶'²⁶'⁴⁸₀", "half_girth_type": [ 3, 3, @@ -8935,15 +10231,13 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$G_{2}(3)$": 1 + "G_{2}(3)": 1 } ], "alternating_quotients": [ @@ -8953,10 +10247,20 @@ 16, 26 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "G₂(3)": 1 + } + ] }, { - "name": "$G^{26,26,48}_1", + "name": "G^{26,26,48}_1", + "name_utf8": "G²⁶'²⁶'⁴⁸₁", "half_girth_type": [ 3, 3, @@ -8987,19 +10291,20 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3, 26, 28 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{26,26,48}_4", + "name": "G^{26,26,48}_4", + "name_utf8": "G²⁶'²⁶'⁴⁸₄", "half_girth_type": [ 3, 3, @@ -9035,13 +10340,13 @@ ], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$G_{2}(3)$": 1 + "G_{2}(3)": 1 }, { - "$A_{3}(3)$": 1 + "A_{3}(3)": 1 } ], "alternating_quotients": [ @@ -9053,10 +10358,25 @@ 28, 29 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(13)" + ], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "G₂(3)": 1 + }, + { + "A₃(3)": 1 + } + ] }, { - "name": "$G^{26,26,48}_5", + "name": "G^{26,26,48}_5", + "name_utf8": "G²⁶'²⁶'⁴⁸₅", "half_girth_type": [ 3, 3, @@ -9092,10 +10412,10 @@ ], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$A_{3}(3)$": 1 + "A_{3}(3)": 1 } ], "alternating_quotients": [ @@ -9104,10 +10424,22 @@ 14, 27 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(13)" + ], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "A₃(3)": 1 + } + ] }, { - "name": "$G^{26,26,54}_0", + "name": "G^{26,26,54}_0", + "name_utf8": "G²⁶'²⁶'⁵⁴₀", "half_girth_type": [ 3, 3, @@ -9139,22 +10471,27 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$G_{2}(3)$": 2 + "G_{2}(3)": 2 } ], "alternating_quotients": [ 3, 13 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "G₂(3)": 2 + } + ] }, { - "name": "$G^{26,26,54}_4", + "name": "G^{26,26,54}_4", + "name_utf8": "G²⁶'²⁶'⁵⁴₄", "half_girth_type": [ 3, 3, @@ -9186,15 +10523,13 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$G_{2}(3)$": 1 + "G_{2}(3)": 1 } ], "alternating_quotients": [ @@ -9202,10 +10537,20 @@ 13, 27 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "G₂(3)": 1 + } + ] }, { - "name": "$G^{14,40,40}_0", + "name": "G^{14,40,40}_0", + "name_utf8": "G¹⁴'⁴⁰'⁴⁰₀", "half_girth_type": [ 3, 4, @@ -9241,25 +10586,25 @@ ], "quotients": [ { - "$\\textrm{Alt}_{8}$ or $A_{2}(4)$": 5 + "Alt(8) or A_{2}(4)": 5 }, { - "$C_{3}(2)$": 2 + "C_{3}(2)": 2 }, { - "$\\textrm{Alt}_{10}$": 4 + "Alt(10)": 4 }, { - "${}^2A_{3}(9)$": 2 + "{}^2A_{3}(9)": 2 }, { - "$A_{4}(2)$": 3 + "A_{4}(2)": 3 }, { - "$\\textrm{Alt}_{11}$": 3 + "Alt(11)": 3 }, { - "$A_{2}(9)$": 1 + "A_{2}(9)": 1 } ], "alternating_quotients": [ @@ -9270,10 +10615,37 @@ 21, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(7²)" + ], + "quotients_utf8": [ + { + "Alt(8) or A₂(4)": 5 + }, + { + "C₃(2)": 2 + }, + { + "Alt(10)": 4 + }, + { + "²A₃(9)": 2 + }, + { + "A₄(2)": 3 + }, + { + "Alt(11)": 3 + }, + { + "A₂(9)": 1 + } + ] }, { - "name": "$G^{14,40,48}_0", + "name": "G^{14,40,48}_0", + "name_utf8": "G¹⁴'⁴⁰'⁴⁸₀", "half_girth_type": [ 3, 4, @@ -9308,23 +10680,38 @@ ], "quotients": [ { - "$\\textrm{Alt}_{7}$": 1 + "Alt(7)": 1 }, { - "$\\textrm{Alt}_{10}$": 1 + "Alt(10)": 1 }, { - "$A_{4}(2)$": 1 + "A_{4}(2)": 1 } ], "alternating_quotients": [ 7, 10 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(7²)" + ], + "quotients_utf8": [ + { + "Alt(7)": 1 + }, + { + "Alt(10)": 1 + }, + { + "A₄(2)": 1 + } + ] }, { - "name": "$G^{14,40,54}_0", + "name": "G^{14,40,54}_0", + "name_utf8": "G¹⁴'⁴⁰'⁵⁴₀", "half_girth_type": [ 3, 4, @@ -9355,25 +10742,33 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": null, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{J}_{2}$": 1 + "J_{2}": 1 }, { - "$C_{3}(2)$": 2 + "C_{3}(2)": 2 } ], "alternating_quotients": [ 21, 25 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "J₂": 1 + }, + { + "C₃(2)": 2 + } + ] }, { - "name": "$G^{14,40,54}_2", + "name": "G^{14,40,54}_2", + "name_utf8": "G¹⁴'⁴⁰'⁵⁴₂", "half_girth_type": [ 3, 4, @@ -9404,15 +10799,13 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": null, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{J}_{2}$": 1 + "J_{2}": 1 }, { - "$C_{3}(2)$": 2 + "C_{3}(2)": 2 } ], "alternating_quotients": [ @@ -9423,10 +10816,20 @@ 27, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "J₂": 1 + }, + { + "C₃(2)": 2 + } + ] }, { - "name": "$G^{14,48,48}_0", + "name": "G^{14,48,48}_0", + "name_utf8": "G¹⁴'⁴⁸'⁴⁸₀", "half_girth_type": [ 3, 4, @@ -9460,22 +10863,22 @@ ], "quotients": [ { - "$\\textrm{Alt}_{7}$": 1 + "Alt(7)": 1 }, { - "$\\textrm{Alt}_{8}$ or $A_{2}(4)$": 1 + "Alt(8) or A_{2}(4)": 1 }, { - "$\\textrm{J}_{2}$": 1 + "J_{2}": 1 }, { - "$C_{3}(2)$": 2 + "C_{3}(2)": 2 }, { - "${}^2A_{3}(9)$": 1 + "{}^2A_{3}(9)": 1 }, { - "$G_{2}(3)$": 2 + "G_{2}(3)": 2 } ], "alternating_quotients": [ @@ -9492,10 +10895,34 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(7)" + ], + "quotients_utf8": [ + { + "Alt(7)": 1 + }, + { + "Alt(8) or A₂(4)": 1 + }, + { + "J₂": 1 + }, + { + "C₃(2)": 2 + }, + { + "²A₃(9)": 1 + }, + { + "G₂(3)": 2 + } + ] }, { - "name": "$G^{14,48,48}_1", + "name": "G^{14,48,48}_1", + "name_utf8": "G¹⁴'⁴⁸'⁴⁸₁", "half_girth_type": [ 3, 4, @@ -9524,18 +10951,19 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3, 4 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,48,54}_0", + "name": "G^{14,48,54}_0", + "name_utf8": "G¹⁴'⁴⁸'⁵⁴₀", "half_girth_type": [ 3, 4, @@ -9565,22 +10993,27 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$G_{2}(3)$": 1 + "G_{2}(3)": 1 } ], "alternating_quotients": [ 3, 18 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "G₂(3)": 1 + } + ] }, { - "name": "$G^{14,48,54}_2", + "name": "G^{14,48,54}_2", + "name_utf8": "G¹⁴'⁴⁸'⁵⁴₂", "half_girth_type": [ 3, 4, @@ -9610,18 +11043,16 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$C_{3}(2)$": 3 + "C_{3}(2)": 3 }, { - "${}^2A_{3}(9)$": 1 + "{}^2A_{3}(9)": 1 }, { - "$G_{2}(3)$": 1 + "G_{2}(3)": 1 } ], "alternating_quotients": [ @@ -9634,10 +11065,23 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "C₃(2)": 3 + }, + { + "²A₃(9)": 1 + }, + { + "G₂(3)": 1 + } + ] }, { - "name": "$G^{14,54,54}_0", + "name": "G^{14,54,54}_0", + "name_utf8": "G¹⁴'⁵⁴'⁵⁴₀", "half_girth_type": [ 3, 4, @@ -9668,9 +11112,7 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3, @@ -9678,10 +11120,13 @@ 28, 29 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{14,54,54}_2", + "name": "G^{14,54,54}_2", + "name_utf8": "G¹⁴'⁵⁴'⁵⁴₂", "half_girth_type": [ 3, 4, @@ -9712,15 +11157,13 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{10}$": 6 + "Alt(10)": 6 }, { - "${}^2A_{3}(9)$": 2 + "{}^2A_{3}(9)": 2 } ], "alternating_quotients": [ @@ -9739,10 +11182,20 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(10)": 6 + }, + { + "²A₃(9)": 2 + } + ] }, { - "name": "$G^{14,54,54}_8", + "name": "G^{14,54,54}_8", + "name_utf8": "G¹⁴'⁵⁴'⁵⁴₈", "half_girth_type": [ 3, 4, @@ -9773,9 +11226,7 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 3, @@ -9784,10 +11235,13 @@ 27, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{16,40,40}_0", + "name": "G^{16,40,40}_0", + "name_utf8": "G¹⁶'⁴⁰'⁴⁰₀", "half_girth_type": [ 3, 4, @@ -9819,38 +11273,38 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 0, "L2_quotients": [ - "L_2(\\infty^4)" + "L_2(inf^4)" ], "quotients": [ { - "$\\textrm{M}_{11}$": 4 + "M_{11}": 4 }, { - "$B_{2}(3)$": 7 + "B_{2}(3)": 7 }, { - "${}^2A_{2}(25)$": 1 + "{}^2A_{2}(25)": 1 }, { - "$\\textrm{J}_{2}$": 2 + "J_{2}": 2 }, { - "$C_{2}(4)$": 2 + "C_{2}(4)": 2 }, { - "$\\textrm{Alt}_{10}$": 4 + "Alt(10)": 4 }, { - "${}^2A_{3}(9)$": 4 + "{}^2A_{3}(9)": 4 }, { - "$B_{2}(5)$": 11 + "B_{2}(5)": 11 }, { - "$A_{3}(3)$": 2 + "A_{3}(3)": 2 }, { - "$\\textrm{Alt}_{11}$": 6 + "Alt(11)": 6 } ], "alternating_quotients": [ @@ -9872,10 +11326,46 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(inf⁴)" + ], + "quotients_utf8": [ + { + "M₁₁": 4 + }, + { + "B₂(3)": 7 + }, + { + "²A₂(25)": 1 + }, + { + "J₂": 2 + }, + { + "C₂(4)": 2 + }, + { + "Alt(10)": 4 + }, + { + "²A₃(9)": 4 + }, + { + "B₂(5)": 11 + }, + { + "A₃(3)": 2 + }, + { + "Alt(11)": 6 + } + ] }, { - "name": "$G^{16,40,48}_0", + "name": "G^{16,40,48}_0", + "name_utf8": "G¹⁶'⁴⁰'⁴⁸₀", "half_girth_type": [ 3, 4, @@ -9910,28 +11400,28 @@ ], "quotients": [ { - "$\\textrm{M}_{11}$": 1 + "M_{11}": 1 }, { - "$B_{2}(3)$": 1 + "B_{2}(3)": 1 }, { - "$\\textrm{J}_{2}$": 2 + "J_{2}": 2 }, { - "${}^2A_{3}(9)$": 1 + "{}^2A_{3}(9)": 1 }, { - "$B_{2}(5)$": 5 + "B_{2}(5)": 5 }, { - "$A_{3}(3)$": 2 + "A_{3}(3)": 2 }, { - "$A_{4}(2)$": 3 + "A_{4}(2)": 3 }, { - "$\\textrm{Alt}_{11}$": 2 + "Alt(11)": 2 } ], "alternating_quotients": [ @@ -9950,10 +11440,40 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(3²)" + ], + "quotients_utf8": [ + { + "M₁₁": 1 + }, + { + "B₂(3)": 1 + }, + { + "J₂": 2 + }, + { + "²A₃(9)": 1 + }, + { + "B₂(5)": 5 + }, + { + "A₃(3)": 2 + }, + { + "A₄(2)": 3 + }, + { + "Alt(11)": 2 + } + ] }, { - "name": "$G^{16,40,54}_0", + "name": "G^{16,40,54}_0", + "name_utf8": "G¹⁶'⁴⁰'⁵⁴₀", "half_girth_type": [ 3, 4, @@ -9989,22 +11509,22 @@ ], "quotients": [ { - "$B_{2}(3)$": 5 + "B_{2}(3)": 5 }, { - "$\\textrm{M}_{12}$": 5 + "M_{12}": 5 }, { - "$C_{3}(2)$": 1 + "C_{3}(2)": 1 }, { - "${}^2A_{3}(9)$": 2 + "{}^2A_{3}(9)": 2 }, { - "$A_{3}(3)$": 3 + "A_{3}(3)": 3 }, { - "${}^2A_{4}(4)$": 1 + "{}^2A_{4}(4)": 1 } ], "alternating_quotients": [ @@ -10021,10 +11541,34 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(3²)" + ], + "quotients_utf8": [ + { + "B₂(3)": 5 + }, + { + "M₁₂": 5 + }, + { + "C₃(2)": 1 + }, + { + "²A₃(9)": 2 + }, + { + "A₃(3)": 3 + }, + { + "²A₄(4)": 1 + } + ] }, { - "name": "$G^{16,40,54}_2", + "name": "G^{16,40,54}_2", + "name_utf8": "G¹⁶'⁴⁰'⁵⁴₂", "half_girth_type": [ 3, 4, @@ -10060,22 +11604,22 @@ ], "quotients": [ { - "$B_{2}(3)$": 4 + "B_{2}(3)": 4 }, { - "$\\textrm{M}_{12}$": 5 + "M_{12}": 5 }, { - "$\\textrm{Alt}_{10}$": 3 + "Alt(10)": 3 }, { - "${}^2A_{3}(9)$": 4 + "{}^2A_{3}(9)": 4 }, { - "$A_{3}(3)$": 4 + "A_{3}(3)": 4 }, { - "${}^2A_{4}(4)$": 1 + "{}^2A_{4}(4)": 1 } ], "alternating_quotients": [ @@ -10096,10 +11640,34 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(3²)" + ], + "quotients_utf8": [ + { + "B₂(3)": 4 + }, + { + "M₁₂": 5 + }, + { + "Alt(10)": 3 + }, + { + "²A₃(9)": 4 + }, + { + "A₃(3)": 4 + }, + { + "²A₄(4)": 1 + } + ] }, { - "name": "$G^{16,48,48}_0", + "name": "G^{16,48,48}_0", + "name_utf8": "G¹⁶'⁴⁸'⁴⁸₀", "half_girth_type": [ 3, 4, @@ -10128,60 +11696,58 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{7}$": 1 + "Alt(7)": 1 }, { - "${}^2A_{2}(9)$": 1 + "{}^2A_{2}(9)": 1 }, { - "$\\textrm{Alt}_{8}$ or $A_{2}(4)$": 2 + "Alt(8) or A_{2}(4)": 2 }, { - "$B_{2}(3)$": 5 + "B_{2}(3)": 5 }, { - "${}^2A_{2}(25)$": 1 + "{}^2A_{2}(25)": 1 }, { - "$\\textrm{J}_{2}$": 2 + "J_{2}": 2 }, { - "$C_{3}(2)$": 5 + "C_{3}(2)": 5 }, { - "$\\textrm{Alt}_{10}$": 2 + "Alt(10)": 2 }, { - "${}^2A_{3}(9)$": 4 + "{}^2A_{3}(9)": 4 }, { - "$B_{2}(5)$": 5 + "B_{2}(5)": 5 }, { - "${}^2A_{2}(64)$": 2 + "{}^2A_{2}(64)": 2 }, { - "$A_{3}(3)$": 5 + "A_{3}(3)": 5 }, { - "$A_{4}(2)$": 2 + "A_{4}(2)": 2 }, { - "$\\textrm{Alt}_{11}$": 1 + "Alt(11)": 1 }, { - "$A_{2}(9)$": 1 + "A_{2}(9)": 1 }, { - "${}^2A_{2}(81)$": 2 + "{}^2A_{2}(81)": 2 }, { - "$\\textrm{HS}_{}$": 1 + "HS": 1 } ], "alternating_quotients": [ @@ -10207,10 +11773,65 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(7)": 1 + }, + { + "²A₂(9)": 1 + }, + { + "Alt(8) or A₂(4)": 2 + }, + { + "B₂(3)": 5 + }, + { + "²A₂(25)": 1 + }, + { + "J₂": 2 + }, + { + "C₃(2)": 5 + }, + { + "Alt(10)": 2 + }, + { + "²A₃(9)": 4 + }, + { + "B₂(5)": 5 + }, + { + "²A₂(64)": 2 + }, + { + "A₃(3)": 5 + }, + { + "A₄(2)": 2 + }, + { + "Alt(11)": 1 + }, + { + "A₂(9)": 1 + }, + { + "²A₂(81)": 2 + }, + { + "HS": 1 + } + ] }, { - "name": "$G^{16,48,48}_1", + "name": "G^{16,48,48}_1", + "name_utf8": "G¹⁶'⁴⁸'⁴⁸₁", "half_girth_type": [ 3, 4, @@ -10239,39 +11860,37 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 1 + "A_{2}(3)": 1 }, { - "${}^2A_{2}(9)$": 2 + "{}^2A_{2}(9)": 2 }, { - "$B_{2}(3)$": 8 + "B_{2}(3)": 8 }, { - "$\\textrm{Alt}_{9}$": 2 + "Alt(9)": 2 }, { - "$C_{3}(2)$": 10 + "C_{3}(2)": 10 }, { - "${}^2A_{3}(9)$": 1 + "{}^2A_{3}(9)": 1 }, { - "$A_{3}(3)$": 6 + "A_{3}(3)": 6 }, { - "$\\textrm{Alt}_{11}$": 1 + "Alt(11)": 1 }, { - "${}^2A_{2}(81)$": 2 + "{}^2A_{2}(81)": 2 }, { - "$\\textrm{HS}_{}$": 2 + "HS": 2 } ], "alternating_quotients": [ @@ -10297,10 +11916,44 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 1 + }, + { + "²A₂(9)": 2 + }, + { + "B₂(3)": 8 + }, + { + "Alt(9)": 2 + }, + { + "C₃(2)": 10 + }, + { + "²A₃(9)": 1 + }, + { + "A₃(3)": 6 + }, + { + "Alt(11)": 1 + }, + { + "²A₂(81)": 2 + }, + { + "HS": 2 + } + ] }, { - "name": "$G^{16,48,54}_0", + "name": "G^{16,48,54}_0", + "name_utf8": "G¹⁶'⁴⁸'⁵⁴₀", "half_girth_type": [ 3, 4, @@ -10330,36 +11983,34 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$B_{2}(3)$": 4 + "B_{2}(3)": 4 }, { - "$\\textrm{Alt}_{9}$": 1 + "Alt(9)": 1 }, { - "$C_{3}(2)$": 1 + "C_{3}(2)": 1 }, { - "$\\textrm{Alt}_{10}$": 1 + "Alt(10)": 1 }, { - "${}^2A_{3}(9)$": 3 + "{}^2A_{3}(9)": 3 }, { - "$A_{3}(3)$": 1 + "A_{3}(3)": 1 }, { - "${}^2A_{4}(4)$": 1 + "{}^2A_{4}(4)": 1 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -10381,10 +12032,41 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "B₂(3)": 4 + }, + { + "Alt(9)": 1 + }, + { + "C₃(2)": 1 + }, + { + "Alt(10)": 1 + }, + { + "²A₃(9)": 3 + }, + { + "A₃(3)": 1 + }, + { + "²A₄(4)": 1 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{16,48,54}_2", + "name": "G^{16,48,54}_2", + "name_utf8": "G¹⁶'⁴⁸'⁵⁴₂", "half_girth_type": [ 3, 4, @@ -10414,33 +12096,31 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$B_{2}(3)$": 4 + "B_{2}(3)": 4 }, { - "$C_{3}(2)$": 1 + "C_{3}(2)": 1 }, { - "$\\textrm{Alt}_{10}$": 3 + "Alt(10)": 3 }, { - "${}^2A_{3}(9)$": 2 + "{}^2A_{3}(9)": 2 }, { - "$A_{3}(3)$": 3 + "A_{3}(3)": 3 }, { - "${}^2A_{4}(4)$": 5 + "{}^2A_{4}(4)": 5 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -10467,10 +12147,38 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "B₂(3)": 4 + }, + { + "C₃(2)": 1 + }, + { + "Alt(10)": 3 + }, + { + "²A₃(9)": 2 + }, + { + "A₃(3)": 3 + }, + { + "²A₄(4)": 5 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{16,54,54}_0", + "name": "G^{16,54,54}_0", + "name_utf8": "G¹⁶'⁵⁴'⁵⁴₀", "half_girth_type": [ 3, 4, @@ -10501,21 +12209,19 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "${}^2A_{2}(64)$": 2 + "{}^2A_{2}(64)": 2 }, { - "${}^2A_{4}(4)$": 2 + "{}^2A_{4}(4)": 2 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -10531,10 +12237,26 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "²A₂(64)": 2 + }, + { + "²A₄(4)": 2 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{16,54,54}_2", + "name": "G^{16,54,54}_2", + "name_utf8": "G¹⁶'⁵⁴'⁵⁴₂", "half_girth_type": [ 3, 4, @@ -10565,42 +12287,40 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$B_{2}(3)$": 6 + "B_{2}(3)": 6 }, { - "$\\textrm{Alt}_{9}$": 2 + "Alt(9)": 2 }, { - "$C_{3}(2)$": 4 + "C_{3}(2)": 4 }, { - "$\\textrm{Alt}_{10}$": 12 + "Alt(10)": 12 }, { - "${}^2A_{3}(9)$": 3 + "{}^2A_{3}(9)": 3 }, { - "${}^2A_{2}(64)$": 2 + "{}^2A_{2}(64)": 2 }, { - "$A_{3}(3)$": 5 + "A_{3}(3)": 5 }, { - "${}^2A_{4}(4)$": 5 + "{}^2A_{4}(4)": 5 }, { - "$\\textrm{Alt}_{11}$": 6 + "Alt(11)": 6 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -10629,10 +12349,47 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "B₂(3)": 6 + }, + { + "Alt(9)": 2 + }, + { + "C₃(2)": 4 + }, + { + "Alt(10)": 12 + }, + { + "²A₃(9)": 3 + }, + { + "²A₂(64)": 2 + }, + { + "A₃(3)": 5 + }, + { + "²A₄(4)": 5 + }, + { + "Alt(11)": 6 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{16,54,54}_8", + "name": "G^{16,54,54}_8", + "name_utf8": "G¹⁶'⁵⁴'⁵⁴₈", "half_girth_type": [ 3, 4, @@ -10663,33 +12420,31 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$B_{2}(3)$": 4 + "B_{2}(3)": 4 }, { - "$\\textrm{Alt}_{9}$": 2 + "Alt(9)": 2 }, { - "${}^2A_{3}(9)$": 3 + "{}^2A_{3}(9)": 3 }, { - "${}^2A_{2}(64)$": 2 + "{}^2A_{2}(64)": 2 }, { - "$A_{3}(3)$": 7 + "A_{3}(3)": 7 }, { - "${}^2A_{4}(4)$": 3 + "{}^2A_{4}(4)": 3 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -10710,10 +12465,38 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "B₂(3)": 4 + }, + { + "Alt(9)": 2 + }, + { + "²A₃(9)": 3 + }, + { + "²A₂(64)": 2 + }, + { + "A₃(3)": 7 + }, + { + "²A₄(4)": 3 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{18,40,40}_0", + "name": "G^{18,40,40}_0", + "name_utf8": "G¹⁸'⁴⁰'⁴⁰₀", "half_girth_type": [ 3, 4, @@ -10745,27 +12528,25 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{7}$": 2 + "Alt(7)": 2 }, { - "$B_{2}(3)$": 5 + "B_{2}(3)": 5 }, { - "$\\textrm{M}_{12}$": 2 + "M_{12}": 2 }, { - "$\\textrm{Alt}_{10}$": 8 + "Alt(10)": 8 }, { - "${}^2A_{3}(9)$": 1 + "{}^2A_{3}(9)": 1 }, { - "${}^2A_{4}(4)$": 3 + "{}^2A_{4}(4)": 3 } ], "alternating_quotients": [ @@ -10783,10 +12564,32 @@ 27, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(7)": 2 + }, + { + "B₂(3)": 5 + }, + { + "M₁₂": 2 + }, + { + "Alt(10)": 8 + }, + { + "²A₃(9)": 1 + }, + { + "²A₄(4)": 3 + } + ] }, { - "name": "$G^{18,40,48}_0", + "name": "G^{18,40,48}_0", + "name_utf8": "G¹⁸'⁴⁰'⁴⁸₀", "half_girth_type": [ 3, 4, @@ -10822,22 +12625,22 @@ ], "quotients": [ { - "$B_{2}(3)$": 5 + "B_{2}(3)": 5 }, { - "$\\textrm{M}_{12}$": 7 + "M_{12}": 7 }, { - "$\\textrm{Alt}_{10}$": 2 + "Alt(10)": 2 }, { - "${}^2A_{3}(9)$": 4 + "{}^2A_{3}(9)": 4 }, { - "$A_{3}(3)$": 10 + "A_{3}(3)": 10 }, { - "$\\textrm{Alt}_{11}$": 5 + "Alt(11)": 5 } ], "alternating_quotients": [ @@ -10863,10 +12666,34 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(3²)" + ], + "quotients_utf8": [ + { + "B₂(3)": 5 + }, + { + "M₁₂": 7 + }, + { + "Alt(10)": 2 + }, + { + "²A₃(9)": 4 + }, + { + "A₃(3)": 10 + }, + { + "Alt(11)": 5 + } + ] }, { - "name": "$G^{18,40,54}_0", + "name": "G^{18,40,54}_0", + "name_utf8": "G¹⁸'⁴⁰'⁵⁴₀", "half_girth_type": [ 3, 4, @@ -10898,24 +12725,22 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$B_{2}(3)$": 2 + "B_{2}(3)": 2 }, { - "$\\textrm{M}_{12}$": 2 + "M_{12}": 2 }, { - "$\\textrm{Alt}_{10}$": 4 + "Alt(10)": 4 }, { - "$A_{3}(3)$": 14 + "A_{3}(3)": 14 }, { - "${}^2A_{4}(4)$": 3 + "{}^2A_{4}(4)": 3 } ], "alternating_quotients": [ @@ -10938,10 +12763,29 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "B₂(3)": 2 + }, + { + "M₁₂": 2 + }, + { + "Alt(10)": 4 + }, + { + "A₃(3)": 14 + }, + { + "²A₄(4)": 3 + } + ] }, { - "name": "$G^{18,40,54}_2", + "name": "G^{18,40,54}_2", + "name_utf8": "G¹⁸'⁴⁰'⁵⁴₂", "half_girth_type": [ 3, 4, @@ -10973,27 +12817,25 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$B_{2}(3)$": 2 + "B_{2}(3)": 2 }, { - "$\\textrm{M}_{12}$": 2 + "M_{12}": 2 }, { - "$\\textrm{Alt}_{9}$": 2 + "Alt(9)": 2 }, { - "${}^2A_{3}(9)$": 3 + "{}^2A_{3}(9)": 3 }, { - "$A_{3}(3)$": 5 + "A_{3}(3)": 5 }, { - "${}^2A_{4}(4)$": 4 + "{}^2A_{4}(4)": 4 } ], "alternating_quotients": [ @@ -11017,10 +12859,32 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "B₂(3)": 2 + }, + { + "M₁₂": 2 + }, + { + "Alt(9)": 2 + }, + { + "²A₃(9)": 3 + }, + { + "A₃(3)": 5 + }, + { + "²A₄(4)": 4 + } + ] }, { - "name": "$G^{18,48,48}_0", + "name": "G^{18,48,48}_0", + "name_utf8": "G¹⁸'⁴⁸'⁴⁸₀", "half_girth_type": [ 3, 4, @@ -11050,30 +12914,28 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$B_{2}(3)$": 3 + "B_{2}(3)": 3 }, { - "$\\textrm{Alt}_{10}$": 3 + "Alt(10)": 3 }, { - "${}^2A_{3}(9)$": 4 + "{}^2A_{3}(9)": 4 }, { - "$A_{3}(3)$": 9 + "A_{3}(3)": 9 }, { - "$\\textrm{Alt}_{11}$": 2 + "Alt(11)": 2 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -11100,10 +12962,35 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "B₂(3)": 3 + }, + { + "Alt(10)": 3 + }, + { + "²A₃(9)": 4 + }, + { + "A₃(3)": 9 + }, + { + "Alt(11)": 2 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{18,48,54}_0", + "name": "G^{18,48,54}_0", + "name_utf8": "G¹⁸'⁴⁸'⁵⁴₀", "half_girth_type": [ 3, 4, @@ -11134,30 +13021,28 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$B_{2}(3)$": 2 + "B_{2}(3)": 2 }, { - "$\\textrm{Alt}_{10}$": 2 + "Alt(10)": 2 }, { - "${}^2A_{2}(64)$": 2 + "{}^2A_{2}(64)": 2 }, { - "$A_{3}(3)$": 8 + "A_{3}(3)": 8 }, { - "$\\textrm{Alt}_{11}$": 4 + "Alt(11)": 4 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -11182,10 +13067,35 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "B₂(3)": 2 + }, + { + "Alt(10)": 2 + }, + { + "²A₂(64)": 2 + }, + { + "A₃(3)": 8 + }, + { + "Alt(11)": 4 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{18,48,54}_2", + "name": "G^{18,48,54}_2", + "name_utf8": "G¹⁸'⁴⁸'⁵⁴₂", "half_girth_type": [ 3, 4, @@ -11216,39 +13126,37 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$B_{2}(3)$": 2 + "B_{2}(3)": 2 }, { - "$\\textrm{Alt}_{9}$": 2 + "Alt(9)": 2 }, { - "$\\textrm{Alt}_{10}$": 1 + "Alt(10)": 1 }, { - "${}^2A_{3}(9)$": 3 + "{}^2A_{3}(9)": 3 }, { - "${}^2A_{2}(64)$": 2 + "{}^2A_{2}(64)": 2 }, { - "$A_{3}(3)$": 1 + "A_{3}(3)": 1 }, { - "${}^2A_{4}(4)$": 3 + "{}^2A_{4}(4)": 3 }, { - "$\\textrm{Alt}_{11}$": 1 + "Alt(11)": 1 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -11274,10 +13182,44 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "B₂(3)": 2 + }, + { + "Alt(9)": 2 + }, + { + "Alt(10)": 1 + }, + { + "²A₃(9)": 3 + }, + { + "²A₂(64)": 2 + }, + { + "A₃(3)": 1 + }, + { + "²A₄(4)": 3 + }, + { + "Alt(11)": 1 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{18,54,54}_0", + "name": "G^{18,54,54}_0", + "name_utf8": "G¹⁸'⁵⁴'⁵⁴₀", "half_girth_type": [ 3, 4, @@ -11309,21 +13251,19 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$\\textrm{Alt}_{9}$": 2 + "Alt(9)": 2 }, { - "${}^2A_{4}(4)$": 2 + "{}^2A_{4}(4)": 2 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -11341,10 +13281,26 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "Alt(9)": 2 + }, + { + "²A₄(4)": 2 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{18,54,54}_2", + "name": "G^{18,54,54}_2", + "name_utf8": "G¹⁸'⁵⁴'⁵⁴₂", "half_girth_type": [ 3, 4, @@ -11376,30 +13332,28 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$B_{2}(3)$": 2 + "B_{2}(3)": 2 }, { - "$\\textrm{Alt}_{9}$": 10 + "Alt(9)": 10 }, { - "${}^2A_{3}(9)$": 3 + "{}^2A_{3}(9)": 3 }, { - "$A_{3}(3)$": 1 + "A_{3}(3)": 1 }, { - "${}^2A_{4}(4)$": 9 + "{}^2A_{4}(4)": 9 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -11419,10 +13373,35 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "B₂(3)": 2 + }, + { + "Alt(9)": 10 + }, + { + "²A₃(9)": 3 + }, + { + "A₃(3)": 1 + }, + { + "²A₄(4)": 9 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{18,54,54}_8", + "name": "G^{18,54,54}_8", + "name_utf8": "G¹⁸'⁵⁴'⁵⁴₈", "half_girth_type": [ 3, 4, @@ -11454,27 +13433,25 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$B_{2}(3)$": 2 + "B_{2}(3)": 2 }, { - "$\\textrm{Alt}_{9}$": 8 + "Alt(9)": 8 }, { - "$A_{3}(3)$": 10 + "A_{3}(3)": 10 }, { - "${}^2A_{4}(4)$": 4 + "{}^2A_{4}(4)": 4 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -11494,10 +13471,32 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "B₂(3)": 2 + }, + { + "Alt(9)": 8 + }, + { + "A₃(3)": 10 + }, + { + "²A₄(4)": 4 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{24,40,40}_0", + "name": "G^{24,40,40}_0", + "name_utf8": "G²⁴'⁴⁰'⁴⁰₀", "half_girth_type": [ 3, 4, @@ -11530,41 +13529,41 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 0, "L2_quotients": [ - "L_2(\\infty^4)" + "L_2(inf^4)" ], "quotients": [ { - "$\\textrm{Alt}_{7}$": 2 + "Alt(7)": 2 }, { - "$B_{2}(3)$": 2 + "B_{2}(3)": 2 }, { - "$\\textrm{M}_{22}$": 2 + "M_{22}": 2 }, { - "$\\textrm{J}_{2}$": 2 + "J_{2}": 2 }, { - "$C_{2}(4)$": 2 + "C_{2}(4)": 2 }, { - "$C_{3}(2)$": 2 + "C_{3}(2)": 2 }, { - "$\\textrm{Alt}_{10}$": 2 + "Alt(10)": 2 }, { - "$B_{2}(5)$": 10 + "B_{2}(5)": 10 }, { - "$A_{4}(2)$": 4 + "A_{4}(2)": 4 }, { - "${}^2A_{4}(4)$": 4 + "{}^2A_{4}(4)": 4 }, { - "$\\textrm{Alt}_{11}$": 3 + "Alt(11)": 3 } ], "alternating_quotients": [ @@ -11589,10 +13588,49 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(inf⁴)" + ], + "quotients_utf8": [ + { + "Alt(7)": 2 + }, + { + "B₂(3)": 2 + }, + { + "M₂₂": 2 + }, + { + "J₂": 2 + }, + { + "C₂(4)": 2 + }, + { + "C₃(2)": 2 + }, + { + "Alt(10)": 2 + }, + { + "B₂(5)": 10 + }, + { + "A₄(2)": 4 + }, + { + "²A₄(4)": 4 + }, + { + "Alt(11)": 3 + } + ] }, { - "name": "$G^{24,40,48}_0", + "name": "G^{24,40,48}_0", + "name_utf8": "G²⁴'⁴⁰'⁴⁸₀", "half_girth_type": [ 3, 4, @@ -11629,37 +13667,37 @@ ], "quotients": [ { - "$\\textrm{Alt}_{7}$": 2 + "Alt(7)": 2 }, { - "$B_{2}(3)$": 3 + "B_{2}(3)": 3 }, { - "$\\textrm{M}_{22}$": 2 + "M_{22}": 2 }, { - "$\\textrm{J}_{2}$": 4 + "J_{2}": 4 }, { - "$C_{2}(4)$": 4 + "C_{2}(4)": 4 }, { - "$C_{3}(2)$": 3 + "C_{3}(2)": 3 }, { - "$B_{2}(5)$": 12 + "B_{2}(5)": 12 }, { - "$A_{3}(3)$": 2 + "A_{3}(3)": 2 }, { - "$A_{4}(2)$": 5 + "A_{4}(2)": 5 }, { - "${}^2A_{4}(4)$": 1 + "{}^2A_{4}(4)": 1 }, { - "$\\textrm{Alt}_{11}$": 4 + "Alt(11)": 4 } ], "alternating_quotients": [ @@ -11686,10 +13724,50 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(3²)", + "L₂(3²)" + ], + "quotients_utf8": [ + { + "Alt(7)": 2 + }, + { + "B₂(3)": 3 + }, + { + "M₂₂": 2 + }, + { + "J₂": 4 + }, + { + "C₂(4)": 4 + }, + { + "C₃(2)": 3 + }, + { + "B₂(5)": 12 + }, + { + "A₃(3)": 2 + }, + { + "A₄(2)": 5 + }, + { + "²A₄(4)": 1 + }, + { + "Alt(11)": 4 + } + ] }, { - "name": "$G^{24,40,54}_0", + "name": "G^{24,40,54}_0", + "name_utf8": "G²⁴'⁴⁰'⁵⁴₀", "half_girth_type": [ 3, 4, @@ -11726,25 +13804,25 @@ ], "quotients": [ { - "$B_{2}(3)$": 4 + "B_{2}(3)": 4 }, { - "$\\textrm{M}_{12}$": 6 + "M_{12}": 6 }, { - "$\\textrm{Alt}_{10}$": 12 + "Alt(10)": 12 }, { - "${}^2A_{3}(9)$": 2 + "{}^2A_{3}(9)": 2 }, { - "$A_{3}(3)$": 3 + "A_{3}(3)": 3 }, { - "${}^2A_{4}(4)$": 4 + "{}^2A_{4}(4)": 4 }, { - "$\\textrm{Alt}_{11}$": 12 + "Alt(11)": 12 } ], "alternating_quotients": [ @@ -11770,10 +13848,37 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(3²)" + ], + "quotients_utf8": [ + { + "B₂(3)": 4 + }, + { + "M₁₂": 6 + }, + { + "Alt(10)": 12 + }, + { + "²A₃(9)": 2 + }, + { + "A₃(3)": 3 + }, + { + "²A₄(4)": 4 + }, + { + "Alt(11)": 12 + } + ] }, { - "name": "$G^{24,40,54}_2", + "name": "G^{24,40,54}_2", + "name_utf8": "G²⁴'⁴⁰'⁵⁴₂", "half_girth_type": [ 3, 4, @@ -11810,31 +13915,31 @@ ], "quotients": [ { - "$B_{2}(3)$": 2 + "B_{2}(3)": 2 }, { - "$\\textrm{M}_{12}$": 6 + "M_{12}": 6 }, { - "$\\textrm{Alt}_{9}$": 2 + "Alt(9)": 2 }, { - "$C_{3}(2)$": 4 + "C_{3}(2)": 4 }, { - "$\\textrm{Alt}_{10}$": 7 + "Alt(10)": 7 }, { - "${}^2A_{3}(9)$": 6 + "{}^2A_{3}(9)": 6 }, { - "$A_{3}(3)$": 7 + "A_{3}(3)": 7 }, { - "${}^2A_{4}(4)$": 1 + "{}^2A_{4}(4)": 1 }, { - "$\\textrm{Alt}_{11}$": 6 + "Alt(11)": 6 } ], "alternating_quotients": [ @@ -11863,10 +13968,43 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(3²)" + ], + "quotients_utf8": [ + { + "B₂(3)": 2 + }, + { + "M₁₂": 6 + }, + { + "Alt(9)": 2 + }, + { + "C₃(2)": 4 + }, + { + "Alt(10)": 7 + }, + { + "²A₃(9)": 6 + }, + { + "A₃(3)": 7 + }, + { + "²A₄(4)": 1 + }, + { + "Alt(11)": 6 + } + ] }, { - "name": "$G^{24,48,48}_0", + "name": "G^{24,48,48}_0", + "name_utf8": "G²⁴'⁴⁸'⁴⁸₀", "half_girth_type": [ 3, 4, @@ -11896,57 +14034,55 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{7}$": 3 + "Alt(7)": 3 }, { - "$\\textrm{Alt}_{8}$ or $A_{2}(4)$": 4 + "Alt(8) or A_{2}(4)": 4 }, { - "$B_{2}(3)$": 3 + "B_{2}(3)": 3 }, { - "$\\textrm{M}_{12}$": 1 + "M_{12}": 1 }, { - "${}^2A_{2}(25)$": 2 + "{}^2A_{2}(25)": 2 }, { - "$\\textrm{J}_{2}$": 2 + "J_{2}": 2 }, { - "$C_{3}(2)$": 11 + "C_{3}(2)": 11 }, { - "$\\textrm{Alt}_{10}$": 1 + "Alt(10)": 1 }, { - "$A_{2}(7)$": 1 + "A_{2}(7)": 1 }, { - "${}^2A_{3}(9)$": 3 + "{}^2A_{3}(9)": 3 }, { - "$B_{2}(5)$": 7 + "B_{2}(5)": 7 }, { - "$A_{3}(3)$": 1 + "A_{3}(3)": 1 }, { - "$A_{4}(2)$": 2 + "A_{4}(2)": 2 }, { - "${}^2A_{4}(4)$": 13 + "{}^2A_{4}(4)": 13 }, { - "$\\textrm{Alt}_{11}$": 1 + "Alt(11)": 1 }, { - "$\\textrm{HS}_{}$": 2 + "HS": 2 } ], "alternating_quotients": [ @@ -11976,10 +14112,62 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(7)": 3 + }, + { + "Alt(8) or A₂(4)": 4 + }, + { + "B₂(3)": 3 + }, + { + "M₁₂": 1 + }, + { + "²A₂(25)": 2 + }, + { + "J₂": 2 + }, + { + "C₃(2)": 11 + }, + { + "Alt(10)": 1 + }, + { + "A₂(7)": 1 + }, + { + "²A₃(9)": 3 + }, + { + "B₂(5)": 7 + }, + { + "A₃(3)": 1 + }, + { + "A₄(2)": 2 + }, + { + "²A₄(4)": 13 + }, + { + "Alt(11)": 1 + }, + { + "HS": 2 + } + ] }, { - "name": "$G^{24,48,48}_1", + "name": "G^{24,48,48}_1", + "name_utf8": "G²⁴'⁴⁸'⁴⁸₁", "half_girth_type": [ 3, 4, @@ -12009,39 +14197,37 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$B_{2}(3)$": 4 + "B_{2}(3)": 4 }, { - "$\\textrm{Alt}_{9}$": 1 + "Alt(9)": 1 }, { - "$\\textrm{M}_{22}$": 1 + "M_{22}": 1 }, { - "$C_{3}(2)$": 17 + "C_{3}(2)": 17 }, { - "${}^2A_{3}(9)$": 8 + "{}^2A_{3}(9)": 8 }, { - "$B_{2}(5)$": 5 + "B_{2}(5)": 5 }, { - "$A_{3}(3)$": 3 + "A_{3}(3)": 3 }, { - "${}^2A_{4}(4)$": 8 + "{}^2A_{4}(4)": 8 }, { - "$\\textrm{Alt}_{11}$": 1 + "Alt(11)": 1 }, { - "$\\textrm{HS}_{}$": 1 + "HS": 1 } ], "alternating_quotients": [ @@ -12070,10 +14256,44 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "B₂(3)": 4 + }, + { + "Alt(9)": 1 + }, + { + "M₂₂": 1 + }, + { + "C₃(2)": 17 + }, + { + "²A₃(9)": 8 + }, + { + "B₂(5)": 5 + }, + { + "A₃(3)": 3 + }, + { + "²A₄(4)": 8 + }, + { + "Alt(11)": 1 + }, + { + "HS": 1 + } + ] }, { - "name": "$G^{24,48,54}_0", + "name": "G^{24,48,54}_0", + "name_utf8": "G²⁴'⁴⁸'⁵⁴₀", "half_girth_type": [ 3, 4, @@ -12104,30 +14324,28 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$B_{2}(3)$": 4 + "B_{2}(3)": 4 }, { - "$\\textrm{Alt}_{9}$": 3 + "Alt(9)": 3 }, { - "$\\textrm{Alt}_{10}$": 5 + "Alt(10)": 5 }, { - "${}^2A_{3}(9)$": 1 + "{}^2A_{3}(9)": 1 }, { - "$A_{3}(3)$": 2 + "A_{3}(3)": 2 }, { - "${}^2A_{4}(4)$": 3 + "{}^2A_{4}(4)": 3 }, { - "$\\textrm{Alt}_{11}$": 4 + "Alt(11)": 4 } ], "alternating_quotients": [ @@ -12156,10 +14374,35 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "B₂(3)": 4 + }, + { + "Alt(9)": 3 + }, + { + "Alt(10)": 5 + }, + { + "²A₃(9)": 1 + }, + { + "A₃(3)": 2 + }, + { + "²A₄(4)": 3 + }, + { + "Alt(11)": 4 + } + ] }, { - "name": "$G^{24,48,54}_2", + "name": "G^{24,48,54}_2", + "name_utf8": "G²⁴'⁴⁸'⁵⁴₂", "half_girth_type": [ 3, 4, @@ -12190,33 +14433,31 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$B_{2}(3)$": 2 + "B_{2}(3)": 2 }, { - "$\\textrm{Alt}_{9}$": 3 + "Alt(9)": 3 }, { - "$C_{3}(2)$": 3 + "C_{3}(2)": 3 }, { - "$\\textrm{Alt}_{10}$": 5 + "Alt(10)": 5 }, { - "${}^2A_{3}(9)$": 5 + "{}^2A_{3}(9)": 5 }, { - "$A_{3}(3)$": 10 + "A_{3}(3)": 10 }, { - "${}^2A_{4}(4)$": 12 + "{}^2A_{4}(4)": 12 }, { - "$\\textrm{Alt}_{11}$": 2 + "Alt(11)": 2 } ], "alternating_quotients": [ @@ -12244,10 +14485,38 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "B₂(3)": 2 + }, + { + "Alt(9)": 3 + }, + { + "C₃(2)": 3 + }, + { + "Alt(10)": 5 + }, + { + "²A₃(9)": 5 + }, + { + "A₃(3)": 10 + }, + { + "²A₄(4)": 12 + }, + { + "Alt(11)": 2 + } + ] }, { - "name": "$G^{24,54,54}_0", + "name": "G^{24,54,54}_0", + "name_utf8": "G²⁴'⁵⁴'⁵⁴₀", "half_girth_type": [ 3, 4, @@ -12279,24 +14548,22 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{9}$": 6 + "Alt(9)": 6 }, { - "$\\textrm{Alt}_{10}$": 2 + "Alt(10)": 2 }, { - "$A_{3}(3)$": 4 + "A_{3}(3)": 4 }, { - "${}^2A_{4}(4)$": 8 + "{}^2A_{4}(4)": 8 }, { - "$\\textrm{Alt}_{11}$": 2 + "Alt(11)": 2 } ], "alternating_quotients": [ @@ -12321,10 +14588,29 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(9)": 6 + }, + { + "Alt(10)": 2 + }, + { + "A₃(3)": 4 + }, + { + "²A₄(4)": 8 + }, + { + "Alt(11)": 2 + } + ] }, { - "name": "$G^{24,54,54}_2", + "name": "G^{24,54,54}_2", + "name_utf8": "G²⁴'⁵⁴'⁵⁴₂", "half_girth_type": [ 3, 4, @@ -12356,33 +14642,31 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$B_{2}(3)$": 2 + "B_{2}(3)": 2 }, { - "$\\textrm{Alt}_{9}$": 9 + "Alt(9)": 9 }, { - "$C_{3}(2)$": 6 + "C_{3}(2)": 6 }, { - "$\\textrm{Alt}_{10}$": 22 + "Alt(10)": 22 }, { - "${}^2A_{3}(9)$": 8 + "{}^2A_{3}(9)": 8 }, { - "$A_{3}(3)$": 26 + "A_{3}(3)": 26 }, { - "${}^2A_{4}(4)$": 12 + "{}^2A_{4}(4)": 12 }, { - "$\\textrm{Alt}_{11}$": 12 + "Alt(11)": 12 } ], "alternating_quotients": [ @@ -12411,10 +14695,38 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "B₂(3)": 2 + }, + { + "Alt(9)": 9 + }, + { + "C₃(2)": 6 + }, + { + "Alt(10)": 22 + }, + { + "²A₃(9)": 8 + }, + { + "A₃(3)": 26 + }, + { + "²A₄(4)": 12 + }, + { + "Alt(11)": 12 + } + ] }, { - "name": "$G^{24,54,54}_8", + "name": "G^{24,54,54}_8", + "name_utf8": "G²⁴'⁵⁴'⁵⁴₈", "half_girth_type": [ 3, 4, @@ -12446,24 +14758,22 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$B_{2}(3)$": 4 + "B_{2}(3)": 4 }, { - "$\\textrm{Alt}_{9}$": 14 + "Alt(9)": 14 }, { - "$\\textrm{Alt}_{10}$": 1 + "Alt(10)": 1 }, { - "${}^2A_{4}(4)$": 9 + "{}^2A_{4}(4)": 9 }, { - "$\\textrm{Alt}_{11}$": 1 + "Alt(11)": 1 } ], "alternating_quotients": [ @@ -12488,10 +14798,29 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "B₂(3)": 4 + }, + { + "Alt(9)": 14 + }, + { + "Alt(10)": 1 + }, + { + "²A₄(4)": 9 + }, + { + "Alt(11)": 1 + } + ] }, { - "name": "$G^{26,40,40}_0", + "name": "G^{26,40,40}_0", + "name_utf8": "G²⁶'⁴⁰'⁴⁰₀", "half_girth_type": [ 3, 4, @@ -12528,7 +14857,7 @@ ], "quotients": [ { - "$A_{3}(3)$": 3 + "A_{3}(3)": 3 } ], "alternating_quotients": [ @@ -12538,10 +14867,19 @@ 27, 28 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(13²)" + ], + "quotients_utf8": [ + { + "A₃(3)": 3 + } + ] }, { - "name": "$G^{26,40,48}_0", + "name": "G^{26,40,48}_0", + "name_utf8": "G²⁶'⁴⁰'⁴⁸₀", "half_girth_type": [ 3, 4, @@ -12577,14 +14915,23 @@ ], "quotients": [ { - "${}^2F_4(2)'$": 1 + "{}^2F_4(2)'": 1 } ], "alternating_quotients": [], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(13²)" + ], + "quotients_utf8": [ + { + "²F₄(2)'": 1 + } + ] }, { - "name": "$G^{26,40,54}_0", + "name": "G^{26,40,54}_0", + "name_utf8": "G²⁶'⁴⁰'⁵⁴₀", "half_girth_type": [ 3, 4, @@ -12616,21 +14963,26 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": null, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{3}(3)$": 3 + "A_{3}(3)": 3 } ], "alternating_quotients": [ 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₃(3)": 3 + } + ] }, { - "name": "$G^{26,40,54}_2", + "name": "G^{26,40,54}_2", + "name_utf8": "G²⁶'⁴⁰'⁵⁴₂", "half_girth_type": [ 3, 4, @@ -12662,17 +15014,18 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [], "alternating_quotients": [ 15 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [] }, { - "name": "$G^{26,48,48}_0", + "name": "G^{26,48,48}_0", + "name_utf8": "G²⁶'⁴⁸'⁴⁸₀", "half_girth_type": [ 3, 4, @@ -12702,12 +15055,10 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$G_{2}(3)$": 1 + "G_{2}(3)": 1 } ], "alternating_quotients": [ @@ -12716,10 +15067,17 @@ 14, 28 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "G₂(3)": 1 + } + ] }, { - "name": "$G^{26,48,48}_1", + "name": "G^{26,48,48}_1", + "name_utf8": "G²⁶'⁴⁸'⁴⁸₁", "half_girth_type": [ 3, 4, @@ -12754,10 +15112,10 @@ ], "quotients": [ { - "$G_{2}(3)$": 4 + "G_{2}(3)": 4 }, { - "$A_{3}(3)$": 1 + "A_{3}(3)": 1 } ], "alternating_quotients": [ @@ -12772,10 +15130,22 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [ + "L₂(13)" + ], + "quotients_utf8": [ + { + "G₂(3)": 4 + }, + { + "A₃(3)": 1 + } + ] }, { - "name": "$G^{26,48,54}_0", + "name": "G^{26,48,54}_0", + "name_utf8": "G²⁶'⁴⁸'⁵⁴₀", "half_girth_type": [ 3, 4, @@ -12806,12 +15176,10 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": null, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$G_{2}(3)$": 1 + "G_{2}(3)": 1 } ], "alternating_quotients": [ @@ -12821,10 +15189,17 @@ 27, 28 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "G₂(3)": 1 + } + ] }, { - "name": "$G^{26,48,54}_2", + "name": "G^{26,48,54}_2", + "name_utf8": "G²⁶'⁴⁸'⁵⁴₂", "half_girth_type": [ 3, 4, @@ -12855,15 +15230,13 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$G_{2}(3)$": 1 + "G_{2}(3)": 1 }, { - "$A_{3}(3)$": 1 + "A_{3}(3)": 1 } ], "alternating_quotients": [ @@ -12874,10 +15247,20 @@ 28, 29 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "G₂(3)": 1 + }, + { + "A₃(3)": 1 + } + ] }, { - "name": "$G^{26,54,54}_0", + "name": "G^{26,54,54}_0", + "name_utf8": "G²⁶'⁵⁴'⁵⁴₀", "half_girth_type": [ 3, 4, @@ -12909,15 +15292,13 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -12927,10 +15308,20 @@ 27, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{26,54,54}_2", + "name": "G^{26,54,54}_2", + "name_utf8": "G²⁶'⁵⁴'⁵⁴₂", "half_girth_type": [ 3, 4, @@ -12962,18 +15353,16 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$A_{3}(3)$": 20 + "A_{3}(3)": 20 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -12989,10 +15378,23 @@ 29, 30 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "A₃(3)": 20 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{26,54,54}_8", + "name": "G^{26,54,54}_8", + "name_utf8": "G²⁶'⁵⁴'⁵⁴₈", "half_girth_type": [ 3, 4, @@ -13024,28 +15426,39 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": null, "abelianization_dimension": 2, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$A_{3}(3)$": 6 + "A_{3}(3)": 6 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ 3, 13 ], - "maximal_degree_alternating_quotients": 30 + "maximal_degree_alternating_quotients": 30, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "A₃(3)": 6 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{40,40,40}_0", + "name": "G^{40,40,40}_0", + "name_utf8": "G⁴⁰'⁴⁰'⁴⁰₀", "half_girth_type": [ 4, 4, @@ -13078,50 +15491,50 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 0, "L2_quotients": [ - "L_2(\\infty^4)", - "L_2(\\infty^4)", - "L_2(\\infty^4)", - "L_2(\\infty^4)" + "L_2(inf^4)", + "L_2(inf^4)", + "L_2(inf^4)", + "L_2(inf^4)" ], "quotients": [ { - "$\\textrm{Alt}_{7}$": 1 + "Alt(7)": 1 }, { - "$B_{2}(3)$": 18 + "B_{2}(3)": 18 }, { - "$\\textrm{M}_{12}$": 7 + "M_{12}": 7 }, { - "${}^2A_{2}(25)$": 2 + "{}^2A_{2}(25)": 2 }, { - "$\\textrm{J}_{1}$": 4 + "J_{1}": 4 }, { - "$A_{2}(5)$": 2 + "A_{2}(5)": 2 }, { - "$\\textrm{J}_{2}$": 8 + "J_{2}": 8 }, { - "$C_{2}(4)$": 21 + "C_{2}(4)": 21 }, { - "$\\textrm{Alt}_{10}$": 15 + "Alt(10)": 15 }, { - "${}^2A_{3}(9)$": 12 + "{}^2A_{3}(9)": 12 }, { - "$B_{2}(5)$": 90 + "B_{2}(5)": 90 }, { - "$A_{3}(3)$": 7 + "A_{3}(3)": 7 }, { - "$\\textrm{HS}_{}$": 12 + "HS": 12 } ], "alternating_quotients": [ @@ -13155,10 +15568,58 @@ 39, 40 ], - "maximal_degree_alternating_quotients": 40 + "maximal_degree_alternating_quotients": 40, + "L2_quotients_utf8": [ + "L₂(inf⁴)", + "L₂(inf⁴)", + "L₂(inf⁴)", + "L₂(inf⁴)" + ], + "quotients_utf8": [ + { + "Alt(7)": 1 + }, + { + "B₂(3)": 18 + }, + { + "M₁₂": 7 + }, + { + "²A₂(25)": 2 + }, + { + "J₁": 4 + }, + { + "A₂(5)": 2 + }, + { + "J₂": 8 + }, + { + "C₂(4)": 21 + }, + { + "Alt(10)": 15 + }, + { + "²A₃(9)": 12 + }, + { + "B₂(5)": 90 + }, + { + "A₃(3)": 7 + }, + { + "HS": 12 + } + ] }, { - "name": "$G^{40,40,48}_0", + "name": "G^{40,40,48}_0", + "name_utf8": "G⁴⁰'⁴⁰'⁴⁸₀", "half_girth_type": [ 4, 4, @@ -13190,53 +15651,53 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 0, "L2_quotients": [ - "L_2(\\infty^4)" + "L_2(inf^4)" ], "quotients": [ { - "$\\textrm{Alt}_{7}$": 2 + "Alt(7)": 2 }, { - "$\\textrm{M}_{11}$": 4 + "M_{11}": 4 }, { - "$B_{2}(3)$": 8 + "B_{2}(3)": 8 }, { - "${}^2A_{2}(25)$": 1 + "{}^2A_{2}(25)": 1 }, { - "$\\textrm{M}_{22}$": 2 + "M_{22}": 2 }, { - "$\\textrm{J}_{2}$": 4 + "J_{2}": 4 }, { - "$C_{2}(4)$": 2 + "C_{2}(4)": 2 }, { - "$C_{3}(2)$": 2 + "C_{3}(2)": 2 }, { - "$\\textrm{Alt}_{10}$": 4 + "Alt(10)": 4 }, { - "${}^2A_{3}(9)$": 4 + "{}^2A_{3}(9)": 4 }, { - "$B_{2}(5)$": 16 + "B_{2}(5)": 16 }, { - "$A_{3}(3)$": 2 + "A_{3}(3)": 2 }, { - "$A_{4}(2)$": 4 + "A_{4}(2)": 4 }, { - "${}^2A_{4}(4)$": 10 + "{}^2A_{4}(4)": 10 }, { - "$\\textrm{Alt}_{11}$": 7 + "Alt(11)": 7 } ], "alternating_quotients": [ @@ -13272,10 +15733,61 @@ 39, 40 ], - "maximal_degree_alternating_quotients": 40 + "maximal_degree_alternating_quotients": 40, + "L2_quotients_utf8": [ + "L₂(inf⁴)" + ], + "quotients_utf8": [ + { + "Alt(7)": 2 + }, + { + "M₁₁": 4 + }, + { + "B₂(3)": 8 + }, + { + "²A₂(25)": 1 + }, + { + "M₂₂": 2 + }, + { + "J₂": 4 + }, + { + "C₂(4)": 2 + }, + { + "C₃(2)": 2 + }, + { + "Alt(10)": 4 + }, + { + "²A₃(9)": 4 + }, + { + "B₂(5)": 16 + }, + { + "A₃(3)": 2 + }, + { + "A₄(2)": 4 + }, + { + "²A₄(4)": 10 + }, + { + "Alt(11)": 7 + } + ] }, { - "name": "$G^{40,40,54}_0", + "name": "G^{40,40,54}_0", + "name_utf8": "G⁴⁰'⁴⁰'⁵⁴₀", "half_girth_type": [ 4, 4, @@ -13307,30 +15819,28 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 0, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{7}$": 2 + "Alt(7)": 2 }, { - "$B_{2}(3)$": 5 + "B_{2}(3)": 5 }, { - "$\\textrm{M}_{12}$": 2 + "M_{12}": 2 }, { - "$\\textrm{Alt}_{10}$": 8 + "Alt(10)": 8 }, { - "${}^2A_{3}(9)$": 15 + "{}^2A_{3}(9)": 15 }, { - "$A_{3}(3)$": 4 + "A_{3}(3)": 4 }, { - "${}^2A_{4}(4)$": 7 + "{}^2A_{4}(4)": 7 } ], "alternating_quotients": [ @@ -13363,10 +15873,35 @@ 39, 40 ], - "maximal_degree_alternating_quotients": 40 + "maximal_degree_alternating_quotients": 40, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(7)": 2 + }, + { + "B₂(3)": 5 + }, + { + "M₁₂": 2 + }, + { + "Alt(10)": 8 + }, + { + "²A₃(9)": 15 + }, + { + "A₃(3)": 4 + }, + { + "²A₄(4)": 7 + } + ] }, { - "name": "$G^{40,48,48}_0", + "name": "G^{40,48,48}_0", + "name_utf8": "G⁴⁰'⁴⁸'⁴⁸₀", "half_girth_type": [ 4, 4, @@ -13402,43 +15937,43 @@ ], "quotients": [ { - "$\\textrm{Alt}_{7}$": 2 + "Alt(7)": 2 }, { - "$\\textrm{M}_{11}$": 1 + "M_{11}": 1 }, { - "$B_{2}(3)$": 18 + "B_{2}(3)": 18 }, { - "$\\textrm{M}_{22}$": 2 + "M_{22}": 2 }, { - "$\\textrm{J}_{2}$": 6 + "J_{2}": 6 }, { - "$C_{2}(4)$": 4 + "C_{2}(4)": 4 }, { - "$C_{3}(2)$": 6 + "C_{3}(2)": 6 }, { - "${}^2A_{3}(9)$": 10 + "{}^2A_{3}(9)": 10 }, { - "$B_{2}(5)$": 20 + "B_{2}(5)": 20 }, { - "$A_{3}(3)$": 15 + "A_{3}(3)": 15 }, { - "$A_{4}(2)$": 8 + "A_{4}(2)": 8 }, { - "${}^2A_{4}(4)$": 15 + "{}^2A_{4}(4)": 15 }, { - "$\\textrm{Alt}_{11}$": 9 + "Alt(11)": 9 } ], "alternating_quotients": [ @@ -13476,10 +16011,56 @@ 39, 40 ], - "maximal_degree_alternating_quotients": 40 + "maximal_degree_alternating_quotients": 40, + "L2_quotients_utf8": [ + "L₂(3²)", + "L₂(3²)" + ], + "quotients_utf8": [ + { + "Alt(7)": 2 + }, + { + "M₁₁": 1 + }, + { + "B₂(3)": 18 + }, + { + "M₂₂": 2 + }, + { + "J₂": 6 + }, + { + "C₂(4)": 4 + }, + { + "C₃(2)": 6 + }, + { + "²A₃(9)": 10 + }, + { + "B₂(5)": 20 + }, + { + "A₃(3)": 15 + }, + { + "A₄(2)": 8 + }, + { + "²A₄(4)": 15 + }, + { + "Alt(11)": 9 + } + ] }, { - "name": "$G^{40,48,54}_0", + "name": "G^{40,48,54}_0", + "name_utf8": "G⁴⁰'⁴⁸'⁵⁴₀", "half_girth_type": [ 4, 4, @@ -13515,31 +16096,31 @@ ], "quotients": [ { - "$B_{2}(3)$": 11 + "B_{2}(3)": 11 }, { - "$\\textrm{M}_{12}$": 7 + "M_{12}": 7 }, { - "$\\textrm{Alt}_{9}$": 2 + "Alt(9)": 2 }, { - "$C_{3}(2)$": 4 + "C_{3}(2)": 4 }, { - "$\\textrm{Alt}_{10}$": 7 + "Alt(10)": 7 }, { - "${}^2A_{3}(9)$": 14 + "{}^2A_{3}(9)": 14 }, { - "$A_{3}(3)$": 16 + "A_{3}(3)": 16 }, { - "${}^2A_{4}(4)$": 3 + "{}^2A_{4}(4)": 3 }, { - "$\\textrm{Alt}_{11}$": 7 + "Alt(11)": 7 } ], "alternating_quotients": [ @@ -13579,10 +16160,43 @@ 39, 40 ], - "maximal_degree_alternating_quotients": 40 + "maximal_degree_alternating_quotients": 40, + "L2_quotients_utf8": [ + "L₂(3²)" + ], + "quotients_utf8": [ + { + "B₂(3)": 11 + }, + { + "M₁₂": 7 + }, + { + "Alt(9)": 2 + }, + { + "C₃(2)": 4 + }, + { + "Alt(10)": 7 + }, + { + "²A₃(9)": 14 + }, + { + "A₃(3)": 16 + }, + { + "²A₄(4)": 3 + }, + { + "Alt(11)": 7 + } + ] }, { - "name": "$G^{40,48,54}_2", + "name": "G^{40,48,54}_2", + "name_utf8": "G⁴⁰'⁴⁸'⁵⁴₂", "half_girth_type": [ 4, 4, @@ -13618,28 +16232,28 @@ ], "quotients": [ { - "$B_{2}(3)$": 17 + "B_{2}(3)": 17 }, { - "$\\textrm{M}_{12}$": 7 + "M_{12}": 7 }, { - "$C_{3}(2)$": 2 + "C_{3}(2)": 2 }, { - "$\\textrm{Alt}_{10}$": 12 + "Alt(10)": 12 }, { - "${}^2A_{3}(9)$": 20 + "{}^2A_{3}(9)": 20 }, { - "$A_{3}(3)$": 22 + "A_{3}(3)": 22 }, { - "${}^2A_{4}(4)$": 24 + "{}^2A_{4}(4)": 24 }, { - "$\\textrm{Alt}_{11}$": 15 + "Alt(11)": 15 } ], "alternating_quotients": [ @@ -13676,10 +16290,40 @@ 39, 40 ], - "maximal_degree_alternating_quotients": 40 + "maximal_degree_alternating_quotients": 40, + "L2_quotients_utf8": [ + "L₂(3²)" + ], + "quotients_utf8": [ + { + "B₂(3)": 17 + }, + { + "M₁₂": 7 + }, + { + "C₃(2)": 2 + }, + { + "Alt(10)": 12 + }, + { + "²A₃(9)": 20 + }, + { + "A₃(3)": 22 + }, + { + "²A₄(4)": 24 + }, + { + "Alt(11)": 15 + } + ] }, { - "name": "$G^{40,54,54}_0", + "name": "G^{40,54,54}_0", + "name_utf8": "G⁴⁰'⁵⁴'⁵⁴₀", "half_girth_type": [ 4, 4, @@ -13711,30 +16355,28 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$B_{2}(3)$": 8 + "B_{2}(3)": 8 }, { - "$\\textrm{M}_{12}$": 2 + "M_{12}": 2 }, { - "$\\textrm{Alt}_{9}$": 2 + "Alt(9)": 2 }, { - "$\\textrm{Alt}_{10}$": 4 + "Alt(10)": 4 }, { - "${}^2A_{3}(9)$": 9 + "{}^2A_{3}(9)": 9 }, { - "$A_{3}(3)$": 17 + "A_{3}(3)": 17 }, { - "${}^2A_{4}(4)$": 7 + "{}^2A_{4}(4)": 7 } ], "alternating_quotients": [ @@ -13769,10 +16411,35 @@ 39, 40 ], - "maximal_degree_alternating_quotients": 40 + "maximal_degree_alternating_quotients": 40, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "B₂(3)": 8 + }, + { + "M₁₂": 2 + }, + { + "Alt(9)": 2 + }, + { + "Alt(10)": 4 + }, + { + "²A₃(9)": 9 + }, + { + "A₃(3)": 17 + }, + { + "²A₄(4)": 7 + } + ] }, { - "name": "$G^{40,54,54}_2", + "name": "G^{40,54,54}_2", + "name_utf8": "G⁴⁰'⁵⁴'⁵⁴₂", "half_girth_type": [ 4, 4, @@ -13804,33 +16471,31 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$B_{2}(3)$": 12 + "B_{2}(3)": 12 }, { - "$\\textrm{M}_{12}$": 2 + "M_{12}": 2 }, { - "$C_{3}(2)$": 4 + "C_{3}(2)": 4 }, { - "$\\textrm{Alt}_{10}$": 16 + "Alt(10)": 16 }, { - "${}^2A_{3}(9)$": 14 + "{}^2A_{3}(9)": 14 }, { - "$A_{3}(3)$": 26 + "A_{3}(3)": 26 }, { - "${}^2A_{4}(4)$": 40 + "{}^2A_{4}(4)": 40 }, { - "$\\textrm{Alt}_{11}$": 10 + "Alt(11)": 10 } ], "alternating_quotients": [ @@ -13866,10 +16531,38 @@ 39, 40 ], - "maximal_degree_alternating_quotients": 40 + "maximal_degree_alternating_quotients": 40, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "B₂(3)": 12 + }, + { + "M₁₂": 2 + }, + { + "C₃(2)": 4 + }, + { + "Alt(10)": 16 + }, + { + "²A₃(9)": 14 + }, + { + "A₃(3)": 26 + }, + { + "²A₄(4)": 40 + }, + { + "Alt(11)": 10 + } + ] }, { - "name": "$G^{40,54,54}_8", + "name": "G^{40,54,54}_8", + "name_utf8": "G⁴⁰'⁵⁴'⁵⁴₈", "half_girth_type": [ 4, 4, @@ -13901,27 +16594,25 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 1, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$B_{2}(3)$": 8 + "B_{2}(3)": 8 }, { - "$\\textrm{M}_{12}$": 2 + "M_{12}": 2 }, { - "$\\textrm{Alt}_{9}$": 12 + "Alt(9)": 12 }, { - "${}^2A_{3}(9)$": 12 + "{}^2A_{3}(9)": 12 }, { - "$A_{3}(3)$": 8 + "A_{3}(3)": 8 }, { - "${}^2A_{4}(4)$": 16 + "{}^2A_{4}(4)": 16 } ], "alternating_quotients": [ @@ -13955,10 +16646,32 @@ 39, 40 ], - "maximal_degree_alternating_quotients": 40 + "maximal_degree_alternating_quotients": 40, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "B₂(3)": 8 + }, + { + "M₁₂": 2 + }, + { + "Alt(9)": 12 + }, + { + "²A₃(9)": 12 + }, + { + "A₃(3)": 8 + }, + { + "²A₄(4)": 16 + } + ] }, { - "name": "$G^{48,48,48}_0", + "name": "G^{48,48,48}_0", + "name_utf8": "G⁴⁸'⁴⁸'⁴⁸₀", "half_girth_type": [ 4, 4, @@ -13987,48 +16700,46 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 1 + "A_{2}(3)": 1 }, { - "${}^2A_{2}(9)$": 2 + "{}^2A_{2}(9)": 2 }, { - "$B_{2}(3)$": 27 + "B_{2}(3)": 27 }, { - "$\\textrm{Alt}_{9}$": 3 + "Alt(9)": 3 }, { - "$\\textrm{M}_{22}$": 1 + "M_{22}": 1 }, { - "$C_{3}(2)$": 39 + "C_{3}(2)": 39 }, { - "${}^2A_{3}(9)$": 21 + "{}^2A_{3}(9)": 21 }, { - "$B_{2}(5)$": 9 + "B_{2}(5)": 9 }, { - "$A_{3}(3)$": 33 + "A_{3}(3)": 33 }, { - "${}^2A_{4}(4)$": 60 + "{}^2A_{4}(4)": 60 }, { - "$\\textrm{Alt}_{11}$": 3 + "Alt(11)": 3 }, { - "${}^2A_{2}(81)$": 2 + "{}^2A_{2}(81)": 2 }, { - "$\\textrm{HS}_{}$": 3 + "HS": 3 } ], "alternating_quotients": [ @@ -14067,10 +16778,53 @@ 39, 40 ], - "maximal_degree_alternating_quotients": 40 + "maximal_degree_alternating_quotients": 40, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 1 + }, + { + "²A₂(9)": 2 + }, + { + "B₂(3)": 27 + }, + { + "Alt(9)": 3 + }, + { + "M₂₂": 1 + }, + { + "C₃(2)": 39 + }, + { + "²A₃(9)": 21 + }, + { + "B₂(5)": 9 + }, + { + "A₃(3)": 33 + }, + { + "²A₄(4)": 60 + }, + { + "Alt(11)": 3 + }, + { + "²A₂(81)": 2 + }, + { + "HS": 3 + } + ] }, { - "name": "$G^{48,48,48}_1", + "name": "G^{48,48,48}_1", + "name_utf8": "G⁴⁸'⁴⁸'⁴⁸₁", "half_girth_type": [ 4, 4, @@ -14099,69 +16853,67 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$\\textrm{Alt}_{7}$": 3 + "Alt(7)": 3 }, { - "${}^2A_{2}(9)$": 1 + "{}^2A_{2}(9)": 1 }, { - "$\\textrm{Alt}_{8}$ or $A_{2}(4)$": 6 + "Alt(8) or A_{2}(4)": 6 }, { - "$B_{2}(3)$": 24 + "B_{2}(3)": 24 }, { - "$\\textrm{M}_{12}$": 1 + "M_{12}": 1 }, { - "${}^2A_{2}(25)$": 3 + "{}^2A_{2}(25)": 3 }, { - "$\\textrm{J}_{2}$": 4 + "J_{2}": 4 }, { - "$C_{3}(2)$": 27 + "C_{3}(2)": 27 }, { - "$\\textrm{Alt}_{10}$": 3 + "Alt(10)": 3 }, { - "$A_{2}(7)$": 1 + "A_{2}(7)": 1 }, { - "${}^2A_{3}(9)$": 15 + "{}^2A_{3}(9)": 15 }, { - "$B_{2}(5)$": 19 + "B_{2}(5)": 19 }, { - "${}^2A_{2}(64)$": 2 + "{}^2A_{2}(64)": 2 }, { - "$A_{3}(3)$": 30 + "A_{3}(3)": 30 }, { - "$A_{4}(2)$": 4 + "A_{4}(2)": 4 }, { - "${}^2A_{4}(4)$": 63 + "{}^2A_{4}(4)": 63 }, { - "$\\textrm{Alt}_{11}$": 3 + "Alt(11)": 3 }, { - "$A_{2}(9)$": 1 + "A_{2}(9)": 1 }, { - "${}^2A_{2}(81)$": 2 + "{}^2A_{2}(81)": 2 }, { - "$\\textrm{HS}_{}$": 3 + "HS": 3 } ], "alternating_quotients": [ @@ -14201,10 +16953,74 @@ 39, 40 ], - "maximal_degree_alternating_quotients": 40 + "maximal_degree_alternating_quotients": 40, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "Alt(7)": 3 + }, + { + "²A₂(9)": 1 + }, + { + "Alt(8) or A₂(4)": 6 + }, + { + "B₂(3)": 24 + }, + { + "M₁₂": 1 + }, + { + "²A₂(25)": 3 + }, + { + "J₂": 4 + }, + { + "C₃(2)": 27 + }, + { + "Alt(10)": 3 + }, + { + "A₂(7)": 1 + }, + { + "²A₃(9)": 15 + }, + { + "B₂(5)": 19 + }, + { + "²A₂(64)": 2 + }, + { + "A₃(3)": 30 + }, + { + "A₄(2)": 4 + }, + { + "²A₄(4)": 63 + }, + { + "Alt(11)": 3 + }, + { + "A₂(9)": 1 + }, + { + "²A₂(81)": 2 + }, + { + "HS": 3 + } + ] }, { - "name": "$G^{48,48,54}_0", + "name": "G^{48,48,54}_0", + "name_utf8": "G⁴⁸'⁴⁸'⁵⁴₀", "half_girth_type": [ 4, 4, @@ -14234,39 +17050,37 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$B_{2}(3)$": 19 + "B_{2}(3)": 19 }, { - "$\\textrm{Alt}_{9}$": 3 + "Alt(9)": 3 }, { - "$C_{3}(2)$": 3 + "C_{3}(2)": 3 }, { - "$\\textrm{Alt}_{10}$": 6 + "Alt(10)": 6 }, { - "${}^2A_{3}(9)$": 17 + "{}^2A_{3}(9)": 17 }, { - "$A_{3}(3)$": 28 + "A_{3}(3)": 28 }, { - "${}^2A_{4}(4)$": 40 + "{}^2A_{4}(4)": 40 }, { - "$\\textrm{Alt}_{11}$": 6 + "Alt(11)": 6 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -14305,10 +17119,44 @@ 39, 40 ], - "maximal_degree_alternating_quotients": 40 + "maximal_degree_alternating_quotients": 40, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "B₂(3)": 19 + }, + { + "Alt(9)": 3 + }, + { + "C₃(2)": 3 + }, + { + "Alt(10)": 6 + }, + { + "²A₃(9)": 17 + }, + { + "A₃(3)": 28 + }, + { + "²A₄(4)": 40 + }, + { + "Alt(11)": 6 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{48,54,54}_0", + "name": "G^{48,54,54}_0", + "name_utf8": "G⁴⁸'⁵⁴'⁵⁴₀", "half_girth_type": [ 4, 4, @@ -14339,39 +17187,37 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$B_{2}(3)$": 8 + "B_{2}(3)": 8 }, { - "$\\textrm{Alt}_{9}$": 6 + "Alt(9)": 6 }, { - "$\\textrm{Alt}_{10}$": 2 + "Alt(10)": 2 }, { - "${}^2A_{3}(9)$": 9 + "{}^2A_{3}(9)": 9 }, { - "${}^2A_{2}(64)$": 2 + "{}^2A_{2}(64)": 2 }, { - "$A_{3}(3)$": 11 + "A_{3}(3)": 11 }, { - "${}^2A_{4}(4)$": 25 + "{}^2A_{4}(4)": 25 }, { - "$\\textrm{Alt}_{11}$": 4 + "Alt(11)": 4 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -14408,10 +17254,44 @@ 39, 40 ], - "maximal_degree_alternating_quotients": 40 + "maximal_degree_alternating_quotients": 40, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "B₂(3)": 8 + }, + { + "Alt(9)": 6 + }, + { + "Alt(10)": 2 + }, + { + "²A₃(9)": 9 + }, + { + "²A₂(64)": 2 + }, + { + "A₃(3)": 11 + }, + { + "²A₄(4)": 25 + }, + { + "Alt(11)": 4 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{48,54,54}_2", + "name": "G^{48,54,54}_2", + "name_utf8": "G⁴⁸'⁵⁴'⁵⁴₂", "half_girth_type": [ 4, 4, @@ -14442,42 +17322,40 @@ "virtually_torsion_free": true, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$B_{2}(3)$": 10 + "B_{2}(3)": 10 }, { - "$\\textrm{Alt}_{9}$": 9 + "Alt(9)": 9 }, { - "$C_{3}(2)$": 6 + "C_{3}(2)": 6 }, { - "$\\textrm{Alt}_{10}$": 22 + "Alt(10)": 22 }, { - "${}^2A_{3}(9)$": 14 + "{}^2A_{3}(9)": 14 }, { - "${}^2A_{2}(64)$": 2 + "{}^2A_{2}(64)": 2 }, { - "$A_{3}(3)$": 36 + "A_{3}(3)": 36 }, { - "${}^2A_{4}(4)$": 28 + "{}^2A_{4}(4)": 28 }, { - "$\\textrm{Alt}_{11}$": 20 + "Alt(11)": 20 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -14516,10 +17394,47 @@ 39, 40 ], - "maximal_degree_alternating_quotients": 40 + "maximal_degree_alternating_quotients": 40, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "B₂(3)": 10 + }, + { + "Alt(9)": 9 + }, + { + "C₃(2)": 6 + }, + { + "Alt(10)": 22 + }, + { + "²A₃(9)": 14 + }, + { + "²A₂(64)": 2 + }, + { + "A₃(3)": 36 + }, + { + "²A₄(4)": 28 + }, + { + "Alt(11)": 20 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{48,54,54}_8", + "name": "G^{48,54,54}_8", + "name_utf8": "G⁴⁸'⁵⁴'⁵⁴₈", "half_girth_type": [ 4, 4, @@ -14550,39 +17465,37 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$B_{2}(3)$": 18 + "B_{2}(3)": 18 }, { - "$\\textrm{Alt}_{9}$": 14 + "Alt(9)": 14 }, { - "$\\textrm{Alt}_{10}$": 1 + "Alt(10)": 1 }, { - "${}^2A_{3}(9)$": 15 + "{}^2A_{3}(9)": 15 }, { - "${}^2A_{2}(64)$": 2 + "{}^2A_{2}(64)": 2 }, { - "$A_{3}(3)$": 19 + "A_{3}(3)": 19 }, { - "${}^2A_{4}(4)$": 52 + "{}^2A_{4}(4)": 52 }, { - "$\\textrm{Alt}_{11}$": 1 + "Alt(11)": 1 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -14618,10 +17531,44 @@ 39, 40 ], - "maximal_degree_alternating_quotients": 40 + "maximal_degree_alternating_quotients": 40, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "B₂(3)": 18 + }, + { + "Alt(9)": 14 + }, + { + "Alt(10)": 1 + }, + { + "²A₃(9)": 15 + }, + { + "²A₂(64)": 2 + }, + { + "A₃(3)": 19 + }, + { + "²A₄(4)": 52 + }, + { + "Alt(11)": 1 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{54,54,54}_0", + "name": "G^{54,54,54}_0", + "name_utf8": "G⁵⁴'⁵⁴'⁵⁴₀", "half_girth_type": [ 4, 4, @@ -14653,21 +17600,19 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$\\textrm{Alt}_{9}$": 6 + "Alt(9)": 6 }, { - "${}^2A_{4}(4)$": 10 + "{}^2A_{4}(4)": 10 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -14695,10 +17640,26 @@ 39, 40 ], - "maximal_degree_alternating_quotients": 40 + "maximal_degree_alternating_quotients": 40, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "Alt(9)": 6 + }, + { + "²A₄(4)": 10 + }, + { + "A₂(9)": 3 + } + ] }, { - "name": "$G^{54,54,54}_2", + "name": "G^{54,54,54}_2", + "name_utf8": "G⁵⁴'⁵⁴'⁵⁴₂", "half_girth_type": [ 4, 4, @@ -14730,30 +17691,28 @@ "virtually_torsion_free": null, "Kazdhdan_property_T": false, "abelianization_dimension": 3, - "L2_quotients": [ - "" - ], + "L2_quotients": [], "quotients": [ { - "$A_{2}(3)$": 2 + "A_{2}(3)": 2 }, { - "$B_{2}(3)$": 8 + "B_{2}(3)": 8 }, { - "$\\textrm{Alt}_{9}$": 24 + "Alt(9)": 24 }, { - "${}^2A_{3}(9)$": 9 + "{}^2A_{3}(9)": 9 }, { - "$A_{3}(3)$": 13 + "A_{3}(3)": 13 }, { - "${}^2A_{4}(4)$": 41 + "{}^2A_{4}(4)": 41 }, { - "$A_{2}(9)$": 3 + "A_{2}(9)": 3 } ], "alternating_quotients": [ @@ -14784,6 +17743,30 @@ 39, 40 ], - "maximal_degree_alternating_quotients": 40 + "maximal_degree_alternating_quotients": 40, + "L2_quotients_utf8": [], + "quotients_utf8": [ + { + "A₂(3)": 2 + }, + { + "B₂(3)": 8 + }, + { + "Alt(9)": 24 + }, + { + "²A₃(9)": 9 + }, + { + "A₃(3)": 13 + }, + { + "²A₄(4)": 41 + }, + { + "A₂(9)": 3 + } + ] } ] From 13ea973ae404cf099c70c59a43ec3a054d26cefc Mon Sep 17 00:00:00 2001 From: Marek Kaluba Date: Sat, 5 Feb 2022 20:24:27 +0100 Subject: [PATCH 16/19] wip: public_html --- docs/data.js | 96 ++++++++++++++++++ docs/http_server.py | 16 +++ docs/index.html | 23 +++++ docs/tablefilter/style/colsVisibility.css | 1 + docs/tablefilter/style/filtersVisibility.css | 1 + 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docs/tablefilter/style/themes/skyblue/skyblue.css create mode 100644 docs/tablefilter/style/themes/transparent/images/btn_first_page.gif create mode 100644 docs/tablefilter/style/themes/transparent/images/btn_last_page.gif create mode 100644 docs/tablefilter/style/themes/transparent/images/btn_next_page.gif create mode 100644 docs/tablefilter/style/themes/transparent/images/btn_prev_page.gif create mode 100644 docs/tablefilter/style/themes/transparent/images/icn_clear_filters.png create mode 100644 docs/tablefilter/style/themes/transparent/images/img_loading.gif create mode 100644 docs/tablefilter/style/themes/transparent/transparent.css create mode 100644 docs/tablefilter/style/themes/upsimple.png create mode 100644 docs/tablefilter/tablefilter.js diff --git a/docs/data.js b/docs/data.js new file mode 100644 index 0000000..b85912e --- /dev/null +++ b/docs/data.js @@ -0,0 +1,96 @@ +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); + } +} + +function columnName(key) { + let words = key.split("_"); + for (let i = 0; i < words.length; i++) { + words[i][0].toUpperCase(); + } + return words.join(" "); +} + +function generateTableHead(table, keys) { + let thead = table.createTHead(); + let row = thead.insertRow(); + for (let key of keys) { +// if (key.match("utf8") != null) { continue; } + let th = document.createElement("th"); + let text = document.createTextNode(columnName(key)); + th.appendChild(text); + row.appendChild(th); + } +} + +function fillRow(row, group_json) { + for (let key of Object.keys(group_json)) { + let cell = row.insertCell(); + let cell_content; + let value = group_json[key] + if (key == "quotients" || key == "quotients_utf8") { + cell_content = JSON.stringify(value); + } else if (key == "name") { + cell_content = value + } else if ( key == "generators" || key == "relations") { + cell_content = value.join(","); + } else { + cell_content = group_json[key]; + } + let text = document.createTextNode(cell_content); + cell.appendChild(text); + } +} + +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); +} + +// table.setData(groups_url); + +const filtersConfig = { + base_path: 'tablefilter/', + autofilter: { + delay: 200 + }, + filters_row_index: 1, + state: true, + alternate_rows: true, + rows_counter: true, + btn_reset: true, + status_bar: true, + msg_filter: 'Filtering...' +}; + + +async function setup_table(data) { + fillTableFromJson(table, data); + console.log("created table of length " + table.rows.length); + return table; +} +async function setup_filter(table) { + console.log("filtered table of length " + table.rows.length); + const filter = new TableFilter(table, filtersConfig); + filter.init(); + return filter; +} + +let table = document.querySelector("table"); + +let filtered_table = fetch_json(groups_url) + .then(setup_table) + .then(setup_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..90adc2f --- /dev/null +++ b/docs/index.html @@ -0,0 +1,23 @@ + + + + + + Generalized Triangle Groups + + + + + +

+ Generalized Triangle Groups +

+ +
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':n.text,e.instrHtml=Object(l.defaultsStr)(n.html,null),e.btnText=Object(l.defaultsStr)(n.btn_text,"?"),e.btnHtml=Object(l.defaultsStr)(n.btn_html,null),e.btnCssClass=Object(l.defaultsStr)(n.btn_css_class,"helpBtn"),e.contCssClass=Object(l.defaultsStr)(n.container_css_class,"helpCont"),e.btn=null,e.cont=null,e.contAdjustLeftPosition=Object(l.defaultsNb)(n.container_adjust_left_position,25),e.boundMouseup=null,e.defaultHtml='

TableFilter v'+t.version+'

'+d+"
©2015-"+t.year+' Max Guglielmi
',e.toolbarPosition=Object(l.defaultsStr)(n.toolbar_position,f.RIGHT),e.emitter.on(["init-help"],function(){return e.init()}),e}return function _createClass(t,e,n){return e&&_defineProperties(t.prototype,e),n&&_defineProperties(t,n),t}(Help,[{key:"onMouseup",value:function onMouseup(t){for(var e=Object(u.targetEvt)(t);e&&e!==this.cont&&e!==this.btn;)e=e.parentNode;e!==this.cont&&e!==this.btn&&this.toggle()}},{key:"init",value:function init(){var t=this;if(!this.initialized){this.emitter.emit("initializing-feature",this,!Object(c.isNull)(this.tgtId));var e=this.tf,n=Object(o.createElm)("span"),r=Object(o.createElm)("div");this.boundMouseup=this.onMouseup.bind(this),(this.tgtId?Object(o.elm)(this.tgtId):e.feature("toolbar").container(this.toolbarPosition)).appendChild(n);var i=this.contTgtId?Object(o.elm)(this.contTgtId):n;if(this.btnHtml){n.innerHTML=this.btnHtml;var s=n.firstChild;Object(u.addEvt)(s,"click",function(){return t.toggle()}),i.appendChild(r)}else{i.appendChild(r);var a=Object(o.createElm)("a",["href","javascript:void(0);"]);a.className=this.btnCssClass,a.appendChild(Object(o.createText)(this.btnText)),n.appendChild(a),Object(u.addEvt)(a,"click",function(){return t.toggle()})}this.instrHtml?(this.contTgtId&&i.appendChild(r),r.innerHTML=this.instrHtml,this.contTgtId||(r.className=this.contCssClass)):(r.innerHTML=this.instrText,r.className=this.contCssClass),r.innerHTML+=this.defaultHtml,Object(u.addEvt)(r,"click",function(){return t.toggle()}),this.cont=r,this.btn=n,this.initialized=!0,this.emitter.emit("feature-initialized",this)}}},{key:"toggle",value:function toggle(){if(this.isEnabled()){Object(u.removeEvt)(a.root,"mouseup",this.boundMouseup);var 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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\ No newline at end of file From 07a2744af44e6c738f90892ff5d721fbdccc4b57 Mon Sep 17 00:00:00 2001 From: Marek Kaluba Date: Sun, 6 Feb 2022 01:57:18 +0100 Subject: [PATCH 17/19] add a few bells and whistles --- docs/data.js | 85 +++++++++++++++++-- docs/index.html | 27 ++++-- docs/tablefilter/tf-1-2aa33b10e0e549020c12.js | 1 + 3 files changed, 102 insertions(+), 11 deletions(-) create mode 100644 docs/tablefilter/tf-1-2aa33b10e0e549020c12.js diff --git a/docs/data.js b/docs/data.js index b85912e..8deb010 100644 --- a/docs/data.js +++ b/docs/data.js @@ -10,6 +10,15 @@ async function fetch_json(url) { } } +function filter_group_json(obj) { + for (let key of Object.keys(obj)) { + if (key.match(/utf8/) != null) { + delete obj[key]; + } + } + return obj +} + function columnName(key) { let words = key.split("_"); for (let i = 0; i < words.length; i++) { @@ -34,6 +43,7 @@ function fillRow(row, group_json) { for (let key of Object.keys(group_json)) { let cell = row.insertCell(); let cell_content; + // swtich(key){ let value = group_json[key] if (key == "quotients" || key == "quotients_utf8") { cell_content = JSON.stringify(value); @@ -50,6 +60,9 @@ function fillRow(row, group_json) { } function fillTableFromJson(table, json) { + for (let i=0; i= 0) { + column_indices.push(col_idx); + columns.splice(found, 1); + } + } + + if (columns.length != 0) { + console.log("In Katexify: some columns were not found! " + columns); + } + + for (let col_idx of column_indices) { + // we're skipping the header row + for (let row of table.rows) { + if ( row == header ) { continue; } + rerender_with_katex(row.cells[col_idx]); + } + } + + return table +} const filtersConfig = { base_path: 'tablefilter/', - autofilter: { - delay: 200 + 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...' + msg_filter: 'Filtering...', + extensions: [{ + name: 'colsVisibility', + at_start: [2,4,5,6,7,15], + text: 'Hidden Columns: ', + enable_tick_all: true + }, { + name: 'sort' + }] }; - async function setup_table(data) { fillTableFromJson(table, data); console.log("created table of length " + table.rows.length); @@ -94,3 +164,8 @@ let filtered_table = fetch_json(groups_url) .then(setup_filter) ; +let button = document.getElementById("katexify"); +button.addEventListener("click", ()=>{ + rerender_columns_katex(table); + button.disabled = true; +}); diff --git a/docs/index.html b/docs/index.html index 90adc2f..4024c94 100644 --- a/docs/index.html +++ b/docs/index.html @@ -7,14 +7,29 @@ + + + + + + + -

- Generalized Triangle Groups -

- -
- +
+

+ Generalized Triangle Groups of 2011.09276 +

+ by Pierre-Emmanuel Caprace, Marston Conder, Marek Kaluba and Stefan Witzel. +
+ +
+
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This is intentional to allow external files\r\n// to modify the prototype\r\nSortableTable.prototype._sortTypeInfo = {};\r\n\r\nSortableTable.prototype.setTable = function (oTable) {\r\n\tif ( this.tHead )\r\n\t\tthis.uninitHeader();\r\n\tthis.element = oTable;\r\n\tthis.setTHead( oTable.tHead );\r\n\tthis.setTBody( oTable.tBodies[0] );\r\n};\r\n\r\nSortableTable.prototype.setTHead = function (oTHead) {\r\n\tif (this.tHead && this.tHead != oTHead )\r\n\t\tthis.uninitHeader();\r\n\tthis.tHead = oTHead;\r\n\tthis.initHeader( this.sortTypes );\r\n};\r\n\r\nSortableTable.prototype.setTBody = function (oTBody) {\r\n\tthis.tBody = oTBody;\r\n};\r\n\r\nSortableTable.prototype.setSortTypes = function ( oSortTypes ) {\r\n\tif ( this.tHead )\r\n\t\tthis.uninitHeader();\r\n\tthis.sortTypes = oSortTypes || [];\r\n\tif ( this.tHead )\r\n\t\tthis.initHeader( this.sortTypes );\r\n};\r\n\r\n// adds arrow containers and events\r\n// also binds sort type to the header cells so that reordering columns does\r\n// not break the sort types\r\nSortableTable.prototype.initHeader = function (oSortTypes) {\r\n\tif (!this.tHead) return;\r\n\tvar cells = this.tHead.rows[0].cells;\r\n\tvar doc = this.tHead.ownerDocument || this.tHead.document;\r\n\tthis.sortTypes = oSortTypes || [];\r\n\tvar l = cells.length;\r\n\tvar img, c;\r\n\tfor (var i = 0; i < l; i++) {\r\n\t\tc = cells[i];\r\n\t\tif (this.sortTypes[i] != null && this.sortTypes[i] != "None") {\r\n\t\t\timg = doc.createElement("IMG");\r\n\t\t\timg.src = "images/blank.png";\r\n\t\t\tc.appendChild(img);\r\n\t\t\tif (this.sortTypes[i] != null)\r\n\t\t\t\tc._sortType = this.sortTypes[i];\r\n\t\t\tif (typeof c.addEventListener != "undefined")\r\n\t\t\t\tc.addEventListener("click", this._headerOnclick, false);\r\n\t\t\telse if (typeof c.attachEvent != "undefined")\r\n\t\t\t\tc.attachEvent("onclick", this._headerOnclick);\r\n\t\t\telse\r\n\t\t\t\tc.onclick = this._headerOnclick;\r\n\t\t}\r\n\t\telse\r\n\t\t{\r\n\t\t\tc.setAttribute( "_sortType", oSortTypes[i] );\r\n\t\t\tc._sortType = "None";\r\n\t\t}\r\n\t}\r\n\tthis.updateHeaderArrows();\r\n};\r\n\r\n// remove arrows and events\r\nSortableTable.prototype.uninitHeader = function () {\r\n\tif (!this.tHead) return;\r\n\tvar cells = this.tHead.rows[0].cells;\r\n\tvar l = cells.length;\r\n\tvar c;\r\n\tfor (var i = 0; i < l; i++) {\r\n\t\tc = cells[i];\r\n\t\tif (c._sortType != null && c._sortType != "None") {\r\n\t\t\tc.removeChild(c.lastChild);\r\n\t\t\tif (typeof c.removeEventListener != "undefined")\r\n\t\t\t\tc.removeEventListener("click", this._headerOnclick, false);\r\n\t\t\telse if (typeof c.detachEvent != "undefined")\r\n\t\t\t\tc.detachEvent("onclick", this._headerOnclick);\r\n\t\t\tc._sortType = null;\r\n\t\t\tc.removeAttribute( "_sortType" );\r\n\t\t}\r\n\t}\r\n};\r\n\r\nSortableTable.prototype.updateHeaderArrows = function () {\r\n\tif (!this.tHead) return;\r\n\tvar cells = this.tHead.rows[0].cells;\r\n\tvar l = cells.length;\r\n\tvar img;\r\n\tfor (var i = 0; i < l; i++) {\r\n\t\tif (cells[i]._sortType != null && cells[i]._sortType != "None") {\r\n\t\t\timg = cells[i].lastChild;\r\n\t\t\tif (i == this.sortColumn)\r\n\t\t\t\timg.className = "sort-arrow " + (this.descending ? "descending" : "ascending");\r\n\t\t\telse\r\n\t\t\t\timg.className = "sort-arrow";\r\n\t\t}\r\n\t}\r\n};\r\n\r\nSortableTable.prototype.headerOnclick = function (e) {\r\n\t// find TD element\r\n\tvar el = e.target || e.srcElement;\r\n\twhile (el.tagName != "TD")\r\n\t\tel = el.parentNode;\r\n\r\n\tthis.sort(SortableTable.msie ? SortableTable.getCellIndex(el) : el.cellIndex);\r\n};\r\n\r\n// IE returns wrong cellIndex when columns are hidden\r\nSortableTable.getCellIndex = function (oTd) {\r\n\tvar cells = oTd.parentNode.childNodes\r\n\tvar l = cells.length;\r\n\tvar i;\r\n\tfor (i = 0; cells[i] != oTd && i < l; i++)\r\n\t\t;\r\n\treturn i;\r\n};\r\n\r\nSortableTable.prototype.getSortType = function (nColumn) {\r\n\treturn this.sortTypes[nColumn] || "String";\r\n};\r\n\r\n// only nColumn is required\r\n// if bDescending is left out the old value is taken into account\r\n// if sSortType is left out the sort type is found from the sortTypes array\r\n\r\nSortableTable.prototype.sort = function (nColumn, bDescending, sSortType) {\r\n\tif (!this.tBody) return;\r\n\tif (sSortType == null)\r\n\t\tsSortType = this.getSortType(nColumn);\r\n\r\n\t// exit if None\r\n\tif (sSortType == "None")\r\n\t\treturn;\r\n\r\n\tif (bDescending == null) {\r\n\t\tif (this.sortColumn != nColumn)\r\n\t\t\tthis.descending = this.defaultDescending;\r\n\t\telse\r\n\t\t\tthis.descending = !this.descending;\r\n\t}\r\n\telse\r\n\t\tthis.descending = bDescending;\r\n\r\n\tthis.sortColumn = nColumn;\r\n\r\n\tif (typeof this.onbeforesort == "function")\r\n\t\tthis.onbeforesort();\r\n\r\n\tvar f = this.getSortFunction(sSortType, nColumn);\r\n\tvar a = this.getCache(sSortType, nColumn);\r\n\tvar tBody = this.tBody;\r\n\r\n\ta.sort(f);\r\n\r\n\tif (this.descending)\r\n\t\ta.reverse();\r\n\r\n\tif (SortableTable.removeBeforeSort) {\r\n\t\t// remove from doc\r\n\t\tvar nextSibling = tBody.nextSibling;\r\n\t\tvar p = tBody.parentNode;\r\n\t\tp.removeChild(tBody);\r\n\t}\r\n\r\n\t// insert in the new order\r\n\tvar l = a.length;\r\n\tfor (var i = 0; i < l; i++)\r\n\t\ttBody.appendChild(a[i].element);\r\n\r\n\tif (SortableTable.removeBeforeSort) {\r\n\t\t// insert into doc\r\n\t\tp.insertBefore(tBody, nextSibling);\r\n\t}\r\n\r\n\tthis.updateHeaderArrows();\r\n\r\n\tthis.destroyCache(a);\r\n\r\n\tif (typeof this.onsort == "function")\r\n\t\tthis.onsort();\r\n};\r\n\r\nSortableTable.prototype.asyncSort = function (nColumn, bDescending, sSortType) {\r\n\tvar oThis = this;\r\n\tthis._asyncsort = function () {\r\n\t\toThis.sort(nColumn, bDescending, sSortType);\r\n\t};\r\n\twindow.setTimeout(this._asyncsort, 1);\r\n};\r\n\r\nSortableTable.prototype.getCache = function (sType, nColumn) {\r\n\tif (!this.tBody) return [];\r\n\tvar rows = this.tBody.rows;\r\n\tvar l = rows.length;\r\n\tvar a = new Array(l);\r\n\tvar r;\r\n\tfor (var i = 0; i < l; i++) {\r\n\t\tr = rows[i];\r\n\t\ta[i] = {\r\n\t\t\tvalue:\t\tthis.getRowValue(r, sType, nColumn),\r\n\t\t\telement:\tr\r\n\t\t};\r\n\t};\r\n\treturn a;\r\n};\r\n\r\nSortableTable.prototype.destroyCache = function (oArray) {\r\n\tvar l = oArray.length;\r\n\tfor (var i = 0; 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 From a08a59a7e1fe30a9ab68d7547e287cd0a216340e Mon Sep 17 00:00:00 2001 From: Marek Kaluba Date: Fri, 11 Feb 2022 18:12:24 +0100 Subject: [PATCH 18/19] final version of html/json --- data/smallhyperbolicgrp.jl | 13 +- data/triangle_groups.json | 9073 ++++++++++++++---------------------- docs/create_table.js | 125 + docs/data.js | 171 - docs/details.css | 26 + docs/filter_table.js | 34 + docs/index.html | 24 +- docs/main.js | 15 + docs/math_render.js | 55 + 9 files changed, 3876 insertions(+), 5660 deletions(-) create mode 100644 docs/create_table.js delete mode 100644 docs/data.js create mode 100644 docs/details.css create mode 100644 docs/filter_table.js create mode 100644 docs/main.js create mode 100644 docs/math_render.js diff --git a/data/smallhyperbolicgrp.jl b/data/smallhyperbolicgrp.jl index 76ce4f3..c0d6539 100644 --- a/data/smallhyperbolicgrp.jl +++ b/data/smallhyperbolicgrp.jl @@ -55,6 +55,15 @@ function _sanitize_group_name(s::AbstractString) 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) @@ -134,6 +143,8 @@ function show_json(io::StructuralContext, ::TriangleGrpSerialization, G::Triangl D[fname] = getfield(G, fname) end D[:L2_quotients_utf8] = _to_utf8.(D[:L2_quotients]) - D[:quotients_utf8] = [Pair(_to_utf8(k), v) for (k,v) in D[: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/triangle_groups.json b/data/triangle_groups.json index 69a57c1..acd4d89 100644 --- a/data/triangle_groups.json +++ b/data/triangle_groups.json @@ -36,28 +36,24 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [ - { - "Alt(7)": 2 - }, - { - "B_{2}(3)": 1 - } - ], + "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_utf8": { + "Alt(7)": 2, + "B₂(3)": 1 + }, + "quotients_plain": { + "B2(3)": 1, + "Alt(7)": 2 + } }, { "name": "G^{6,40,48}_0", @@ -97,14 +93,10 @@ "L2_quotients": [ "L_2(3^2)" ], - "quotients": [ - { - "B_{2}(3)": 3 - }, - { - "A_{3}(3)": 1 - } - ], + "quotients": { + "A_{3}(3)": 1, + "B_{2}(3)": 3 + }, "alternating_quotients": [ 3, 5, @@ -114,14 +106,14 @@ "L2_quotients_utf8": [ "L₂(3²)" ], - "quotients_utf8": [ - { - "B₂(3)": 3 - }, - { - "A₃(3)": 1 - } - ] + "quotients_utf8": { + "A₃(3)": 1, + "B₂(3)": 3 + }, + "quotients_plain": { + "B2(3)": 3, + "A3(3)": 1 + } }, { "name": "G^{6,40,54}_0", @@ -160,17 +152,11 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "B_{2}(3)": 2 - }, - { - "Alt(10)": 4 - }, - { - "{}^2A_{4}(4)": 1 - } - ], + "quotients": { + "B_{2}(3)": 2, + "Alt(10)": 4, + "{}^2A_{4}(4)": 1 + }, "alternating_quotients": [ 3, 5, @@ -181,17 +167,16 @@ ], "maximal_degree_alternating_quotients": 28, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "B₂(3)": 2 - }, - { - "Alt(10)": 4 - }, - { - "²A₄(4)": 1 - } - ] + "quotients_utf8": { + "²A₄(4)": 1, + "Alt(10)": 4, + "B₂(3)": 2 + }, + "quotients_plain": { + "B2(3)": 2, + "Alt(10)": 4, + "2A4(4)": 1 + } }, { "name": "G^{6,40,54}_2", @@ -230,17 +215,11 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "Alt(9)": 2 - }, - { - "{}^2A_{3}(9)": 1 - }, - { - "A_{3}(3)": 1 - } - ], + "quotients": { + "Alt(9)": 2, + "A_{3}(3)": 1, + "{}^2A_{3}(9)": 1 + }, "alternating_quotients": [ 3, 5, @@ -248,17 +227,16 @@ ], "maximal_degree_alternating_quotients": 28, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(9)": 2 - }, - { - "²A₃(9)": 1 - }, - { - "A₃(3)": 1 - } - ] + "quotients_utf8": { + "Alt(9)": 2, + "²A₃(9)": 1, + "A₃(3)": 1 + }, + "quotients_plain": { + "Alt(9)": 2, + "A3(3)": 1, + "2A3(9)": 1 + } }, { "name": "G^{6,48,48}_0", @@ -295,34 +273,27 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "B_{2}(3)": 1 - }, - { - "{}^2A_{3}(9)": 1 - }, - { - "A_{3}(3)": 1 - } - ], + "quotients": { + "A_{3}(3)": 1, + "B_{2}(3)": 1, + "{}^2A_{3}(9)": 1 + }, "alternating_quotients": [ 3, 4 ], "maximal_degree_alternating_quotients": 28, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "B₂(3)": 1 - }, - { - "²A₃(9)": 1 - }, - { - "A₃(3)": 1 - } - ] + "quotients_utf8": { + "²A₃(9)": 1, + "A₃(3)": 1, + "B₂(3)": 1 + }, + "quotients_plain": { + "B2(3)": 1, + "A3(3)": 1, + "2A3(9)": 1 + } }, { "name": "G^{6,48,54}_0", @@ -360,17 +331,11 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "B_{2}(3)": 2 - }, - { - "Alt(10)": 1 - }, - { - "Alt(11)": 2 - } - ], + "quotients": { + "B_{2}(3)": 2, + "Alt(10)": 1, + "Alt(11)": 2 + }, "alternating_quotients": [ 3, 4, @@ -391,17 +356,16 @@ ], "maximal_degree_alternating_quotients": 28, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "B₂(3)": 2 - }, - { - "Alt(10)": 1 - }, - { - "Alt(11)": 2 - } - ] + "quotients_utf8": { + "Alt(10)": 1, + "Alt(11)": 2, + "B₂(3)": 2 + }, + "quotients_plain": { + "B2(3)": 2, + "Alt(10)": 1, + "Alt(11)": 2 + } }, { "name": "G^{6,48,54}_2", @@ -439,34 +403,27 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "{}^2A_{3}(9)": 1 - }, - { - "A_{3}(3)": 1 - }, - { - "{}^2A_{4}(4)": 1 - } - ], + "quotients": { + "A_{3}(3)": 1, + "{}^2A_{3}(9)": 1, + "{}^2A_{4}(4)": 1 + }, "alternating_quotients": [ 3, 4 ], "maximal_degree_alternating_quotients": 28, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "²A₃(9)": 1 - }, - { - "A₃(3)": 1 - }, - { - "²A₄(4)": 1 - } - ] + "quotients_utf8": { + "²A₄(4)": 1, + "²A₃(9)": 1, + "A₃(3)": 1 + }, + "quotients_plain": { + "A3(3)": 1, + "2A3(9)": 1, + "2A4(4)": 1 + } }, { "name": "G^{6,54,54}_0", @@ -505,14 +462,10 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "Alt(9)": 2 - }, - { - "{}^2A_{4}(4)": 2 - } - ], + "quotients": { + "Alt(9)": 2, + "{}^2A_{4}(4)": 2 + }, "alternating_quotients": [ 3, 9, @@ -520,14 +473,14 @@ ], "maximal_degree_alternating_quotients": 28, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(9)": 2 - }, - { - "²A₄(4)": 2 - } - ] + "quotients_utf8": { + "²A₄(4)": 2, + "Alt(9)": 2 + }, + "quotients_plain": { + "Alt(9)": 2, + "2A4(4)": 2 + } }, { "name": "G^{6,54,54}_2", @@ -566,20 +519,12 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "Alt(9)": 2 - }, - { - "{}^2A_{3}(9)": 1 - }, - { - "A_{3}(3)": 1 - }, - { - "{}^2A_{4}(4)": 1 - } - ], + "quotients": { + "Alt(9)": 2, + "A_{3}(3)": 1, + "{}^2A_{3}(9)": 1, + "{}^2A_{4}(4)": 1 + }, "alternating_quotients": [ 3, 9, @@ -592,20 +537,18 @@ ], "maximal_degree_alternating_quotients": 28, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(9)": 2 - }, - { - "²A₃(9)": 1 - }, - { - "A₃(3)": 1 - }, - { - "²A₄(4)": 1 - } - ] + "quotients_utf8": { + "²A₄(4)": 1, + "Alt(9)": 2, + "²A₃(9)": 1, + "A₃(3)": 1 + }, + "quotients_plain": { + "Alt(9)": 2, + "A3(3)": 1, + "2A3(9)": 1, + "2A4(4)": 1 + } }, { "name": "G^{6,54,54}_8", @@ -644,14 +587,10 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "B_{2}(3)": 2 - }, - { - "Alt(9)": 4 - } - ], + "quotients": { + "Alt(9)": 4, + "B_{2}(3)": 2 + }, "alternating_quotients": [ 3, 9, @@ -663,14 +602,14 @@ ], "maximal_degree_alternating_quotients": 28, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "B₂(3)": 2 - }, - { - "Alt(9)": 4 - } - ] + "quotients_utf8": { + "Alt(9)": 4, + "B₂(3)": 2 + }, + "quotients_plain": { + "Alt(9)": 4, + "B2(3)": 2 + } }, { "name": "G^{8,40,40}_0", @@ -711,23 +650,13 @@ "L2_quotients": [ "L_2(inf^4)" ], - "quotients": [ - { - "B_{2}(3)": 1 - }, - { - "C_{2}(4)": 2 - }, - { - "Alt(10)": 2 - }, - { - "B_{2}(5)": 5 - }, - { - "Alt(11)": 2 - } - ], + "quotients": { + "B_{2}(3)": 1, + "Alt(10)": 2, + "C_{2}(4)": 2, + "B_{2}(5)": 5, + "Alt(11)": 2 + }, "alternating_quotients": [ 5, 6, @@ -743,23 +672,20 @@ "L2_quotients_utf8": [ "L₂(inf⁴)" ], - "quotients_utf8": [ - { - "B₂(3)": 1 - }, - { - "C₂(4)": 2 - }, - { - "Alt(10)": 2 - }, - { - "B₂(5)": 5 - }, - { - "Alt(11)": 2 - } - ] + "quotients_utf8": { + "C₂(4)": 2, + "Alt(10)": 2, + "B₂(5)": 5, + "Alt(11)": 2, + "B₂(3)": 1 + }, + "quotients_plain": { + "B2(3)": 1, + "B2(5)": 5, + "C2(4)": 2, + "Alt(10)": 2, + "Alt(11)": 2 + } }, { "name": "G^{8,40,48}_0", @@ -796,11 +722,9 @@ "L2_quotients": [ "L_2(3^2)" ], - "quotients": [ - { - "B_{2}(5)": 4 - } - ], + "quotients": { + "B_{2}(5)": 4 + }, "alternating_quotients": [ 5, 6 @@ -809,11 +733,12 @@ "L2_quotients_utf8": [ "L₂(3²)" ], - "quotients_utf8": [ - { - "B₂(5)": 4 - } - ] + "quotients_utf8": { + "B₂(5)": 4 + }, + "quotients_plain": { + "B2(5)": 4 + } }, { "name": "G^{8,40,54}_0", @@ -851,14 +776,10 @@ "L2_quotients": [ "L_2(3^2)" ], - "quotients": [ - { - "B_{2}(3)": 2 - }, - { - "M_{12}": 4 - } - ], + "quotients": { + "B_{2}(3)": 2, + "M_{12}": 4 + }, "alternating_quotients": [ 6 ], @@ -866,14 +787,14 @@ "L2_quotients_utf8": [ "L₂(3²)" ], - "quotients_utf8": [ - { - "B₂(3)": 2 - }, - { - "M₁₂": 4 - } - ] + "quotients_utf8": { + "M₁₂": 4, + "B₂(3)": 2 + }, + "quotients_plain": { + "M12": 4, + "B2(3)": 2 + } }, { "name": "G^{8,40,54}_2", @@ -914,23 +835,13 @@ "L2_quotients": [ "L_2(3^2)" ], - "quotients": [ - { - "B_{2}(3)": 2 - }, - { - "M_{12}": 4 - }, - { - "Alt(10)": 3 - }, - { - "A_{3}(3)": 2 - }, - { - "{}^2A_{4}(4)": 1 - } - ], + "quotients": { + "A_{3}(3)": 2, + "B_{2}(3)": 2, + "M_{12}": 4, + "Alt(10)": 3, + "{}^2A_{4}(4)": 1 + }, "alternating_quotients": [ 6, 10, @@ -946,23 +857,20 @@ "L2_quotients_utf8": [ "L₂(3²)" ], - "quotients_utf8": [ - { - "B₂(3)": 2 - }, - { - "M₁₂": 4 - }, - { - "Alt(10)": 3 - }, - { - "A₃(3)": 2 - }, - { - "²A₄(4)": 1 - } - ] + "quotients_utf8": { + "²A₄(4)": 1, + "M₁₂": 4, + "Alt(10)": 3, + "A₃(3)": 2, + "B₂(3)": 2 + }, + "quotients_plain": { + "M12": 4, + "B2(3)": 2, + "A3(3)": 2, + "Alt(10)": 3, + "2A4(4)": 1 + } }, { "name": "G^{8,48,48}_0", @@ -996,17 +904,11 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "B_{2}(3)": 3 - }, - { - "C_{3}(2)": 4 - }, - { - "Alt(11)": 1 - } - ], + "quotients": { + "B_{2}(3)": 3, + "C_{3}(2)": 4, + "Alt(11)": 1 + }, "alternating_quotients": [ 3, 4, @@ -1018,17 +920,16 @@ ], "maximal_degree_alternating_quotients": 28, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "B₂(3)": 3 - }, - { - "C₃(2)": 4 - }, - { - "Alt(11)": 1 - } - ] + "quotients_utf8": { + "C₃(2)": 4, + "Alt(11)": 1, + "B₂(3)": 3 + }, + "quotients_plain": { + "B2(3)": 3, + "Alt(11)": 1, + "C3(2)": 4 + } }, { "name": "G^{8,48,48}_1", @@ -1065,23 +966,13 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "Alt(7)": 1 - }, - { - "B_{2}(3)": 2 - }, - { - "C_{3}(2)": 1 - }, - { - "B_{2}(5)": 3 - }, - { - "Alt(11)": 1 - } - ], + "quotients": { + "B_{2}(3)": 2, + "C_{3}(2)": 1, + "B_{2}(5)": 3, + "Alt(11)": 1, + "Alt(7)": 1 + }, "alternating_quotients": [ 3, 4, @@ -1099,23 +990,20 @@ ], "maximal_degree_alternating_quotients": 28, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(7)": 1 - }, - { - "B₂(3)": 2 - }, - { - "C₃(2)": 1 - }, - { - "B₂(5)": 3 - }, - { - "Alt(11)": 1 - } - ] + "quotients_utf8": { + "C₃(2)": 1, + "B₂(5)": 3, + "Alt(11)": 1, + "Alt(7)": 1, + "B₂(3)": 2 + }, + "quotients_plain": { + "B2(3)": 2, + "B2(5)": 3, + "Alt(11)": 1, + "C3(2)": 1, + "Alt(7)": 1 + } }, { "name": "G^{8,48,54}_0", @@ -1150,14 +1038,10 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "B_{2}(3)": 2 - }, - { - "Alt(9)": 1 - } - ], + "quotients": { + "Alt(9)": 1, + "B_{2}(3)": 2 + }, "alternating_quotients": [ 3, 4, @@ -1165,14 +1049,14 @@ ], "maximal_degree_alternating_quotients": 28, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "B₂(3)": 2 - }, - { - "Alt(9)": 1 - } - ] + "quotients_utf8": { + "Alt(9)": 1, + "B₂(3)": 2 + }, + "quotients_plain": { + "Alt(9)": 1, + "B2(3)": 2 + } }, { "name": "G^{8,48,54}_2", @@ -1207,20 +1091,12 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "B_{2}(3)": 2 - }, - { - "C_{3}(2)": 1 - }, - { - "Alt(10)": 2 - }, - { - "{}^2A_{4}(4)": 1 - } - ], + "quotients": { + "B_{2}(3)": 2, + "Alt(10)": 2, + "C_{3}(2)": 1, + "{}^2A_{4}(4)": 1 + }, "alternating_quotients": [ 3, 4, @@ -1232,20 +1108,18 @@ ], "maximal_degree_alternating_quotients": 28, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "B₂(3)": 2 - }, - { - "C₃(2)": 1 - }, - { - "Alt(10)": 2 - }, - { - "²A₄(4)": 1 - } - ] + "quotients_utf8": { + "²A₄(4)": 1, + "C₃(2)": 1, + "Alt(10)": 2, + "B₂(3)": 2 + }, + "quotients_plain": { + "B2(3)": 2, + "Alt(10)": 2, + "C3(2)": 1, + "2A4(4)": 1 + } }, { "name": "G^{8,54,54}_0", @@ -1281,14 +1155,15 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3, 4 ], "maximal_degree_alternating_quotients": 28, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{8,54,54}_2", @@ -1327,32 +1202,16 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "B_{2}(3)": 2 - }, - { - "Alt(9)": 2 - }, - { - "C_{3}(2)": 4 - }, - { - "Alt(10)": 12 - }, - { - "{}^2A_{3}(9)": 1 - }, - { - "A_{3}(3)": 5 - }, - { - "{}^2A_{4}(4)": 1 - }, - { - "Alt(11)": 4 - } - ], + "quotients": { + "Alt(9)": 2, + "A_{3}(3)": 5, + "B_{2}(3)": 2, + "Alt(10)": 12, + "C_{3}(2)": 4, + "{}^2A_{3}(9)": 1, + "Alt(11)": 4, + "{}^2A_{4}(4)": 1 + }, "alternating_quotients": [ 3, 4, @@ -1378,32 +1237,26 @@ ], "maximal_degree_alternating_quotients": 28, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "B₂(3)": 2 - }, - { - "Alt(9)": 2 - }, - { - "C₃(2)": 4 - }, - { - "Alt(10)": 12 - }, - { - "²A₃(9)": 1 - }, - { - "A₃(3)": 5 - }, - { - "²A₄(4)": 1 - }, - { - "Alt(11)": 4 - } - ] + "quotients_utf8": { + "²A₄(4)": 1, + "C₃(2)": 4, + "Alt(9)": 2, + "²A₃(9)": 1, + "Alt(10)": 12, + "A₃(3)": 5, + "Alt(11)": 4, + "B₂(3)": 2 + }, + "quotients_plain": { + "Alt(9)": 2, + "B2(3)": 2, + "A3(3)": 5, + "Alt(10)": 12, + "Alt(11)": 4, + "C3(2)": 4, + "2A3(9)": 1, + "2A4(4)": 1 + } }, { "name": "G^{8,54,54}_8", @@ -1442,14 +1295,10 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "B_{2}(3)": 2 - }, - { - "Alt(9)": 2 - } - ], + "quotients": { + "Alt(9)": 2, + "B_{2}(3)": 2 + }, "alternating_quotients": [ 3, 4, @@ -1460,14 +1309,14 @@ ], "maximal_degree_alternating_quotients": 28, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "B₂(3)": 2 - }, - { - "Alt(9)": 2 - } - ] + "quotients_utf8": { + "Alt(9)": 2, + "B₂(3)": 2 + }, + "quotients_plain": { + "Alt(9)": 2, + "B2(3)": 2 + } }, { "name": "G^{14,14,14}_0", @@ -1503,27 +1352,23 @@ "L2_quotients": [ "L_2(7)" ], - "quotients": [ - { - "{}^2A_{2}(9)": 1 - }, - { - "{}^2A_{2}(25)": 1 - } - ], + "quotients": { + "{}^2A_{2}(9)": 1, + "{}^2A_{2}(25)": 1 + }, "alternating_quotients": [], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [ "L₂(7)" ], - "quotients_utf8": [ - { - "²A₂(9)": 1 - }, - { - "²A₂(25)": 1 - } - ] + "quotients_utf8": { + "²A₂(25)": 1, + "²A₂(9)": 1 + }, + "quotients_plain": { + "2A2(25)": 1, + "2A2(9)": 1 + } }, { "name": "G^{14,14,14}_1", @@ -1560,13 +1405,14 @@ "Kazdhdan_property_T": true, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,14,14}_2", @@ -1603,21 +1449,20 @@ "Kazdhdan_property_T": true, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [ - { - "Alt(7)": 1 - } - ], + "quotients": { + "Alt(7)": 1 + }, "alternating_quotients": [ 7 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(7)": 1 - } - ] + "quotients_utf8": { + "Alt(7)": 1 + }, + "quotients_plain": { + "Alt(7)": 1 + } }, { "name": "G^{14,14,14}_6", @@ -1654,21 +1499,20 @@ "Kazdhdan_property_T": true, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "A_{2}(8)": 2 - } - ], + "quotients": { + "A_{2}(8)": 2 + }, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(8)": 2 - } - ] + "quotients_utf8": { + "A₂(8)": 2 + }, + "quotients_plain": { + "A2(8)": 2 + } }, { "name": "G^{14,14,16}_0", @@ -1707,11 +1551,9 @@ "L2_quotients": [ "L_2(7)" ], - "quotients": [ - { - "Alt(8) or A_{2}(4)": 1 - } - ], + "quotients": { + "Alt(8) or A_{2}(4)": 1 + }, "alternating_quotients": [ 3, 8 @@ -1720,11 +1562,12 @@ "L2_quotients_utf8": [ "L₂(7)" ], - "quotients_utf8": [ - { - "Alt(8) or A₂(4)": 1 - } - ] + "quotients_utf8": { + "Alt(8) or A₂(4)": 1 + }, + "quotients_plain": { + "Alt(8) or A2(4)": 1 + } }, { "name": "G^{14,14,16}_1", @@ -1763,13 +1606,14 @@ "L2_quotients": [ "L_2(7)" ], - "quotients": [], + "quotients": {}, "alternating_quotients": [], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [ "L₂(7)" ], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,14,16}_4", @@ -1806,11 +1650,12 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,14,16}_5", @@ -1847,13 +1692,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,14,18}_0", @@ -1891,21 +1737,20 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "{}^2A_{2}(9)": 1 - } - ], + "quotients": { + "{}^2A_{2}(9)": 1 + }, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "²A₂(9)": 1 - } - ] + "quotients_utf8": { + "²A₂(9)": 1 + }, + "quotients_plain": { + "2A2(9)": 1 + } }, { "name": "G^{14,14,18}_4", @@ -1943,13 +1788,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,14,24}_0", @@ -1986,7 +1832,7 @@ "L2_quotients": [ "L_2(7)" ], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], @@ -1994,7 +1840,8 @@ "L2_quotients_utf8": [ "L₂(7)" ], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,14,24}_1", @@ -2034,14 +1881,10 @@ "L2_quotients": [ "L_2(7)" ], - "quotients": [ - { - "Alt(7)": 1 - }, - { - "{}^2A_{2}(25)": 1 - } - ], + "quotients": { + "{}^2A_{2}(25)": 1, + "Alt(7)": 1 + }, "alternating_quotients": [ 3, 7 @@ -2050,14 +1893,14 @@ "L2_quotients_utf8": [ "L₂(7)" ], - "quotients_utf8": [ - { - "Alt(7)": 1 - }, - { - "²A₂(25)": 1 - } - ] + "quotients_utf8": { + "²A₂(25)": 1, + "Alt(7)": 1 + }, + "quotients_plain": { + "2A2(25)": 1, + "Alt(7)": 1 + } }, { "name": "G^{14,14,24}_4", @@ -2095,28 +1938,24 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "Alt(8) or A_{2}(4)": 1 - }, - { - "M_{22}": 1 - } - ], + "quotients": { + "Alt(8) or A_{2}(4)": 1, + "M_{22}": 1 + }, "alternating_quotients": [ 3, 8 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(8) or A₂(4)": 1 - }, - { - "M₂₂": 1 - } - ] + "quotients_utf8": { + "Alt(8) or A₂(4)": 1, + "M₂₂": 1 + }, + "quotients_plain": { + "M22": 1, + "Alt(8) or A2(4)": 1 + } }, { "name": "G^{14,14,24}_5", @@ -2154,22 +1993,21 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "Alt(7)": 1 - } - ], + "quotients": { + "Alt(7)": 1 + }, "alternating_quotients": [ 3, 7 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(7)": 1 - } - ] + "quotients_utf8": { + "Alt(7)": 1 + }, + "quotients_plain": { + "Alt(7)": 1 + } }, { "name": "G^{14,14,26}_0", @@ -2204,13 +2042,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,14,26}_1", @@ -2248,21 +2087,20 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [ - { - "A_{2}(9)": 1 - } - ], + "quotients": { + "A_{2}(9)": 1 + }, "alternating_quotients": [ 14 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(9)": 1 - } - ] + "quotients_utf8": { + "A₂(9)": 1 + }, + "quotients_plain": { + "A2(9)": 1 + } }, { "name": "G^{14,14,26}_3", @@ -2300,11 +2138,12 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,14,26}_4", @@ -2342,11 +2181,12 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,14,26}_5", @@ -2384,13 +2224,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,14,26}_7", @@ -2428,13 +2269,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,16,16}_0", @@ -2473,13 +2315,14 @@ "L2_quotients": [ "L_2(7)" ], - "quotients": [], + "quotients": {}, "alternating_quotients": [], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [ "L₂(7)" ], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,16,16}_1", @@ -2516,14 +2359,15 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3, 4 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,16,18}_0", @@ -2561,13 +2405,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,16,24}_0", @@ -2604,7 +2449,7 @@ "L2_quotients": [ "L_2(7)" ], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], @@ -2612,7 +2457,8 @@ "L2_quotients_utf8": [ "L₂(7)" ], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,16,24}_1", @@ -2647,14 +2493,15 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3, 4 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,16,26}_0", @@ -2689,11 +2536,12 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,16,26}_1", @@ -2728,13 +2576,14 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,16,26}_3", @@ -2769,13 +2618,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,16,26}_7", @@ -2810,11 +2660,12 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,18,18}_0", @@ -2853,13 +2704,14 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,18,24}_0", @@ -2898,13 +2750,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,18,26}_0", @@ -2943,13 +2796,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,18,26}_3", @@ -2988,13 +2842,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,24,24}_0", @@ -3035,20 +2890,12 @@ "L2_quotients": [ "L_2(7)" ], - "quotients": [ - { - "Alt(7)": 1 - }, - { - "Alt(8) or A_{2}(4)": 1 - }, - { - "J_{2}": 1 - }, - { - "{}^2A_{3}(9)": 1 - } - ], + "quotients": { + "{}^2A_{3}(9)": 1, + "Alt(8) or A_{2}(4)": 1, + "J_{2}": 1, + "Alt(7)": 1 + }, "alternating_quotients": [ 3, 7, @@ -3064,20 +2911,18 @@ "L2_quotients_utf8": [ "L₂(7)" ], - "quotients_utf8": [ - { - "Alt(7)": 1 - }, - { - "Alt(8) or A₂(4)": 1 - }, - { - "J₂": 1 - }, - { - "²A₃(9)": 1 - } - ] + "quotients_utf8": { + "²A₃(9)": 1, + "Alt(8) or A₂(4)": 1, + "Alt(7)": 1, + "J₂": 1 + }, + "quotients_plain": { + "Alt(7)": 1, + "J2": 1, + "2A3(9)": 1, + "Alt(8) or A2(4)": 1 + } }, { "name": "G^{14,24,24}_1", @@ -3113,14 +2958,15 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3, 4 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,24,26}_0", @@ -3159,13 +3005,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,24,26}_1", @@ -3201,13 +3048,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,24,26}_3", @@ -3243,13 +3091,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,24,26}_7", @@ -3288,13 +3137,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,26,26}_0", @@ -3333,11 +3183,12 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,26,26}_1", @@ -3373,13 +3224,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,26,26}_3", @@ -3415,13 +3267,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,26,26}_4", @@ -3457,13 +3310,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,26,26}_5", @@ -3502,13 +3356,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 14 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,26,26}_15", @@ -3547,13 +3402,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 13 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{16,16,16}_0", @@ -3590,46 +3446,33 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "{}^2A_{2}(9)": 1 - }, - { - "J_{2}": 1 - }, - { - "{}^2A_{2}(64)": 2 - }, - { - "A_{2}(9)": 1 - }, - { - "{}^2A_{2}(81)": 2 - } - ], + "quotients": { + "{}^2A_{2}(9)": 1, + "{}^2A_{2}(64)": 2, + "{}^2A_{2}(81)": 2, + "A_{2}(9)": 1, + "J_{2}": 1 + }, "alternating_quotients": [ 3, 4 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "²A₂(9)": 1 - }, - { - "J₂": 1 - }, - { - "²A₂(64)": 2 - }, - { - "A₂(9)": 1 - }, - { - "²A₂(81)": 2 - } - ] + "quotients_utf8": { + "²A₂(9)": 1, + "²A₂(81)": 2, + "²A₂(64)": 2, + "A₂(9)": 1, + "J₂": 1 + }, + "quotients_plain": { + "A2(9)": 1, + "2A2(64)": 2, + "J2": 1, + "2A2(9)": 1, + "2A2(81)": 2 + } }, { "name": "G^{16,16,16}_1", @@ -3666,34 +3509,27 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 1 - }, - { - "{}^2A_{2}(9)": 2 - }, - { - "{}^2A_{2}(81)": 2 - } - ], + "quotients": { + "{}^2A_{2}(9)": 2, + "{}^2A_{2}(81)": 2, + "A_{2}(3)": 1 + }, "alternating_quotients": [ 5, 29 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 1 - }, - { - "²A₂(9)": 2 - }, - { - "²A₂(81)": 2 - } - ] + "quotients_utf8": { + "²A₂(9)": 2, + "²A₂(81)": 2, + "A₂(3)": 1 + }, + "quotients_plain": { + "A2(3)": 1, + "2A2(81)": 2, + "2A2(9)": 2 + } }, { "name": "G^{16,16,18}_0", @@ -3731,28 +3567,24 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "A_{2}(9)": 3, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3, 4 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "A₂(9)": 3 - } - ] + "quotients_utf8": { + "A₂(9)": 3, + "A₂(3)": 2 + }, + "quotients_plain": { + "A2(9)": 3, + "A2(3)": 2 + } }, { "name": "G^{16,16,24}_0", @@ -3787,14 +3619,10 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "Alt(10)": 1 - }, - { - "A_{4}(2)": 1 - } - ], + "quotients": { + "A_{4}(2)": 1, + "Alt(10)": 1 + }, "alternating_quotients": [ 3, 4, @@ -3804,14 +3632,14 @@ ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(10)": 1 - }, - { - "A₄(2)": 1 - } - ] + "quotients_utf8": { + "Alt(10)": 1, + "A₄(2)": 1 + }, + "quotients_plain": { + "Alt(10)": 1, + "A4(2)": 1 + } }, { "name": "G^{16,16,24}_1", @@ -3849,14 +3677,10 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "Alt(9)": 1 - }, - { - "HS": 1 - } - ], + "quotients": { + "Alt(9)": 1, + "HS": 1 + }, "alternating_quotients": [ 3, 4, @@ -3869,14 +3693,14 @@ ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(9)": 1 - }, - { - "HS": 1 - } - ] + "quotients_utf8": { + "Alt(9)": 1, + "HS": 1 + }, + "quotients_plain": { + "Alt(9)": 1, + "HS": 1 + } }, { "name": "G^{16,16,26}_0", @@ -3911,14 +3735,15 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3, 4 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{16,16,26}_1", @@ -3958,7 +3783,7 @@ "L2_quotients": [ "L_2(13)" ], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 16, 30 @@ -3967,7 +3792,8 @@ "L2_quotients_utf8": [ "L₂(13)" ], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{16,18,18}_0", @@ -4006,34 +3832,27 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "{}^2A_{2}(64)": 2 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "{}^2A_{2}(64)": 2, + "A_{2}(9)": 3, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3, 4 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "²A₂(64)": 2 - }, - { - "A₂(9)": 3 - } - ] + "quotients_utf8": { + "²A₂(64)": 2, + "A₂(9)": 3, + "A₂(3)": 2 + }, + "quotients_plain": { + "A2(9)": 3, + "A2(3)": 2, + "2A2(64)": 2 + } }, { "name": "G^{16,18,24}_0", @@ -4069,11 +3888,9 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "Alt(10)": 1 - } - ], + "quotients": { + "Alt(10)": 1 + }, "alternating_quotients": [ 3, 4, @@ -4083,11 +3900,12 @@ ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(10)": 1 - } - ] + "quotients_utf8": { + "Alt(10)": 1 + }, + "quotients_plain": { + "Alt(10)": 1 + } }, { "name": "G^{16,18,26}_0", @@ -4123,13 +3941,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{16,24,24}_0", @@ -4165,32 +3984,16 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "Alt(7)": 1 - }, - { - "Alt(8) or A_{2}(4)": 2 - }, - { - "{}^2A_{2}(25)": 1 - }, - { - "J_{2}": 1 - }, - { - "C_{3}(2)": 1 - }, - { - "{}^2A_{3}(9)": 1 - }, - { - "B_{2}(5)": 1 - }, - { - "HS": 1 - } - ], + "quotients": { + "HS": 1, + "{}^2A_{3}(9)": 1, + "{}^2A_{2}(25)": 1, + "Alt(8) or A_{2}(4)": 2, + "J_{2}": 1, + "C_{3}(2)": 1, + "Alt(7)": 1, + "B_{2}(5)": 1 + }, "alternating_quotients": [ 3, 4, @@ -4216,32 +4019,26 @@ ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(7)": 1 - }, - { - "Alt(8) or A₂(4)": 2 - }, - { - "²A₂(25)": 1 - }, - { - "J₂": 1 - }, - { - "C₃(2)": 1 - }, - { - "²A₃(9)": 1 - }, - { - "B₂(5)": 1 - }, - { - "HS": 1 - } - ] + "quotients_utf8": { + "²A₂(25)": 1, + "C₃(2)": 1, + "²A₃(9)": 1, + "HS": 1, + "B₂(5)": 1, + "Alt(8) or A₂(4)": 2, + "Alt(7)": 1, + "J₂": 1 + }, + "quotients_plain": { + "2A2(25)": 1, + "HS": 1, + "B2(5)": 1, + "C3(2)": 1, + "Alt(7)": 1, + "J2": 1, + "2A3(9)": 1, + "Alt(8) or A2(4)": 2 + } }, { "name": "G^{16,24,24}_1", @@ -4277,11 +4074,9 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "C_{3}(2)": 2 - } - ], + "quotients": { + "C_{3}(2)": 2 + }, "alternating_quotients": [ 3, 4, @@ -4303,11 +4098,12 @@ ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "C₃(2)": 2 - } - ] + "quotients_utf8": { + "C₃(2)": 2 + }, + "quotients_plain": { + "C3(2)": 2 + } }, { "name": "G^{16,24,26}_0", @@ -4343,14 +4139,15 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3, 4 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{16,24,26}_1", @@ -4388,7 +4185,7 @@ "L2_quotients": [ "L_2(13)" ], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], @@ -4396,7 +4193,8 @@ "L2_quotients_utf8": [ "L₂(13)" ], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{16,26,26}_0", @@ -4432,14 +4230,15 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3, 26 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{16,26,26}_1", @@ -4477,21 +4276,20 @@ "L2_quotients": [ "L_2(13)" ], - "quotients": [ - { - "A_{2}(3)": 1 - } - ], + "quotients": { + "A_{2}(3)": 1 + }, "alternating_quotients": [], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [ "L₂(13)" ], - "quotients_utf8": [ - { - "A₂(3)": 1 - } - ] + "quotients_utf8": { + "A₂(3)": 1 + }, + "quotients_plain": { + "A2(3)": 1 + } }, { "name": "G^{16,26,26}_3", @@ -4527,27 +4325,23 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "G_{2}(3)": 1 - } - ], + "quotients": { + "G_{2}(3)": 1, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 26 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "G₂(3)": 1 - } - ] + "quotients_utf8": { + "A₂(3)": 2, + "G₂(3)": 1 + }, + "quotients_plain": { + "A2(3)": 2, + "G2(3)": 1 + } }, { "name": "G^{16,26,26}_5", @@ -4585,17 +4379,11 @@ "L2_quotients": [ "L_2(13)" ], - "quotients": [ - { - "A_{2}(3)": 1 - }, - { - "G_{2}(3)": 1 - }, - { - "A_{3}(3)": 1 - } - ], + "quotients": { + "A_{3}(3)": 1, + "G_{2}(3)": 1, + "A_{2}(3)": 1 + }, "alternating_quotients": [ 3, 14, @@ -4607,17 +4395,16 @@ "L2_quotients_utf8": [ "L₂(13)" ], - "quotients_utf8": [ - { - "A₂(3)": 1 - }, - { - "G₂(3)": 1 - }, - { - "A₃(3)": 1 - } - ] + "quotients_utf8": { + "A₃(3)": 1, + "A₂(3)": 1, + "G₂(3)": 1 + }, + "quotients_plain": { + "A2(3)": 1, + "A3(3)": 1, + "G2(3)": 1 + } }, { "name": "G^{18,18,18}_0", @@ -4657,14 +4444,10 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "A_{2}(9)": 3, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3, 27, @@ -4672,14 +4455,14 @@ ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "A₂(9)": 3 - } - ] + "quotients_utf8": { + "A₂(9)": 3, + "A₂(3)": 2 + }, + "quotients_plain": { + "A2(9)": 3, + "A2(3)": 2 + } }, { "name": "G^{18,18,24}_0", @@ -4719,14 +4502,10 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "Alt(10)": 1 - }, - { - "Alt(11)": 1 - } - ], + "quotients": { + "Alt(10)": 1, + "Alt(11)": 1 + }, "alternating_quotients": [ 3, 4, @@ -4754,14 +4533,14 @@ ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(10)": 1 - }, - { - "Alt(11)": 1 - } - ] + "quotients_utf8": { + "Alt(10)": 1, + "Alt(11)": 1 + }, + "quotients_plain": { + "Alt(10)": 1, + "Alt(11)": 1 + } }, { "name": "G^{18,18,26}_0", @@ -4801,28 +4580,24 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "A_{2}(9)": 3, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3, 13 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "A₂(9)": 3 - } - ] + "quotients_utf8": { + "A₂(9)": 3, + "A₂(3)": 2 + }, + "quotients_plain": { + "A2(9)": 3, + "A2(3)": 2 + } }, { "name": "G^{18,24,24}_0", @@ -4862,17 +4637,11 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "Alt(10)": 1 - }, - { - "{}^2A_{3}(9)": 1 - }, - { - "Alt(11)": 1 - } - ], + "quotients": { + "Alt(10)": 1, + "{}^2A_{3}(9)": 1, + "Alt(11)": 1 + }, "alternating_quotients": [ 3, 4, @@ -4899,17 +4668,16 @@ ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(10)": 1 - }, - { - "²A₃(9)": 1 - }, - { - "Alt(11)": 1 - } - ] + "quotients_utf8": { + "²A₃(9)": 1, + "Alt(10)": 1, + "Alt(11)": 1 + }, + "quotients_plain": { + "Alt(10)": 1, + "Alt(11)": 1, + "2A3(9)": 1 + } }, { "name": "G^{18,24,26}_0", @@ -4949,14 +4717,15 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3, 27 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{18,26,26}_0", @@ -4996,22 +4765,21 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "G_{2}(3)": 2 - } - ], + "quotients": { + "G_{2}(3)": 2 + }, "alternating_quotients": [ 3, 13 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "G₂(3)": 2 - } - ] + "quotients_utf8": { + "G₂(3)": 2 + }, + "quotients_plain": { + "G2(3)": 2 + } }, { "name": "G^{18,26,26}_1", @@ -5051,14 +4819,10 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "G_{2}(3)": 1 - } - ], + "quotients": { + "G_{2}(3)": 1, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3, 13, @@ -5066,14 +4830,14 @@ ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "G₂(3)": 1 - } - ] + "quotients_utf8": { + "A₂(3)": 2, + "G₂(3)": 1 + }, + "quotients_plain": { + "A2(3)": 2, + "G2(3)": 1 + } }, { "name": "G^{24,24,24}_0", @@ -5110,23 +4874,13 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "Alt(7)": 3 - }, - { - "M_{12}": 1 - }, - { - "A_{2}(7)": 1 - }, - { - "B_{2}(5)": 3 - }, - { - "A_{4}(2)": 1 - } - ], + "quotients": { + "A_{4}(2)": 1, + "M_{12}": 1, + "B_{2}(5)": 3, + "Alt(7)": 3, + "A_{2}(7)": 1 + }, "alternating_quotients": [ 3, 4, @@ -5153,23 +4907,20 @@ ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(7)": 3 - }, - { - "M₁₂": 1 - }, - { - "A₂(7)": 1 - }, - { - "B₂(5)": 3 - }, - { - "A₄(2)": 1 - } - ] + "quotients_utf8": { + "A₂(7)": 1, + "M₁₂": 1, + "B₂(5)": 3, + "A₄(2)": 1, + "Alt(7)": 3 + }, + "quotients_plain": { + "M12": 1, + "B2(5)": 3, + "A2(7)": 1, + "A4(2)": 1, + "Alt(7)": 3 + } }, { "name": "G^{24,24,24}_1", @@ -5209,14 +4960,10 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "M_{22}": 1 - }, - { - "{}^2A_{3}(9)": 3 - } - ], + "quotients": { + "{}^2A_{3}(9)": 3, + "M_{22}": 1 + }, "alternating_quotients": [ 3, 4, @@ -5248,14 +4995,14 @@ ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "M₂₂": 1 - }, - { - "²A₃(9)": 3 - } - ] + "quotients_utf8": { + "²A₃(9)": 3, + "M₂₂": 1 + }, + "quotients_plain": { + "2A3(9)": 3, + "M22": 1 + } }, { "name": "G^{24,24,26}_0", @@ -5292,14 +5039,15 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3, 4 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{24,24,26}_1", @@ -5341,11 +5089,9 @@ "L2_quotients": [ "L_2(13)" ], - "quotients": [ - { - "A_{3}(3)": 1 - } - ], + "quotients": { + "A_{3}(3)": 1 + }, "alternating_quotients": [ 3, 13, @@ -5360,11 +5106,12 @@ "L2_quotients_utf8": [ "L₂(13)" ], - "quotients_utf8": [ - { - "A₃(3)": 1 - } - ] + "quotients_utf8": { + "A₃(3)": 1 + }, + "quotients_plain": { + "A3(3)": 1 + } }, { "name": "G^{24,26,26}_0", @@ -5401,7 +5148,7 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3, 26, @@ -5409,7 +5156,8 @@ ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{24,26,26}_1", @@ -5451,14 +5199,10 @@ "L2_quotients": [ "L_2(13)" ], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "A_{3}(3)": 1 - } - ], + "quotients": { + "A_{3}(3)": 1, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3, 13, @@ -5469,14 +5213,14 @@ "L2_quotients_utf8": [ "L₂(13)" ], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "A₃(3)": 1 - } - ] + "quotients_utf8": { + "A₃(3)": 1, + "A₂(3)": 2 + }, + "quotients_plain": { + "A2(3)": 2, + "A3(3)": 1 + } }, { "name": "G^{24,26,26}_3", @@ -5516,11 +5260,9 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - } - ], + "quotients": { + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3, 13, @@ -5530,11 +5272,12 @@ ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - } - ] + "quotients_utf8": { + "A₂(3)": 2 + }, + "quotients_plain": { + "A2(3)": 2 + } }, { "name": "G^{24,26,26}_5", @@ -5573,14 +5316,10 @@ "L2_quotients": [ "L_2(13)" ], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "A_{3}(3)": 1 - } - ], + "quotients": { + "A_{3}(3)": 1, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3, 13, @@ -5593,14 +5332,14 @@ "L2_quotients_utf8": [ "L₂(13)" ], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "A₃(3)": 1 - } - ] + "quotients_utf8": { + "A₃(3)": 1, + "A₂(3)": 2 + }, + "quotients_plain": { + "A2(3)": 2, + "A3(3)": 1 + } }, { "name": "G^{26,26,26}_0", @@ -5637,28 +5376,24 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 1 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "A_{2}(9)": 3, + "A_{2}(3)": 1 + }, "alternating_quotients": [ 3, 26 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 1 - }, - { - "A₂(9)": 3 - } - ] + "quotients_utf8": { + "A₂(9)": 3, + "A₂(3)": 1 + }, + "quotients_plain": { + "A2(9)": 3, + "A2(3)": 1 + } }, { "name": "G^{26,26,26}_1", @@ -5698,34 +5433,27 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "{}^2A_{2}(16)": 2 - }, - { - "G_{2}(3)": 6 - } - ], + "quotients": { + "{}^2A_{2}(16)": 2, + "A_{2}(3)": 2, + "G_{2}(3)": 6 + }, "alternating_quotients": [ 13, 26 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "²A₂(16)": 2 - }, - { - "G₂(3)": 6 - } - ] + "quotients_utf8": { + "²A₂(16)": 2, + "A₂(3)": 2, + "G₂(3)": 6 + }, + "quotients_plain": { + "2A2(16)": 2, + "A2(3)": 2, + "G2(3)": 6 + } }, { "name": "G^{26,26,26}_5", @@ -5762,27 +5490,23 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "{}^2A_{2}(16)": 1 - } - ], + "quotients": { + "{}^2A_{2}(16)": 1, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 36, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "²A₂(16)": 1 - } - ] + "quotients_utf8": { + "²A₂(16)": 1, + "A₂(3)": 2 + }, + "quotients_plain": { + "2A2(16)": 1, + "A2(3)": 2 + } }, { "name": "G^{26,26,26}_21", @@ -5824,20 +5548,12 @@ "L2_quotients": [ "L_2(13)" ], - "quotients": [ - { - "A_{2}(3)": 5 - }, - { - "{}^2A_{2}(16)": 3 - }, - { - "G_{2}(3)": 1 - }, - { - "{}^2F_4(2)'": 1 - } - ], + "quotients": { + "{}^2F_4(2)'": 1, + "{}^2A_{2}(16)": 3, + "A_{2}(3)": 5, + "G_{2}(3)": 1 + }, "alternating_quotients": [ 13, 30 @@ -5846,20 +5562,18 @@ "L2_quotients_utf8": [ "L₂(13)" ], - "quotients_utf8": [ - { - "A₂(3)": 5 - }, - { - "²A₂(16)": 3 - }, - { - "G₂(3)": 1 - }, - { - "²F₄(2)'": 1 - } - ] + "quotients_utf8": { + "²F₄(2)'": 1, + "²A₂(16)": 3, + "A₂(3)": 5, + "G₂(3)": 1 + }, + "quotients_plain": { + "2A2(16)": 3, + "A2(3)": 5, + "2F_4(2)'": 1, + "G2(3)": 1 + } }, { "name": "G^{14,14,40}_0", @@ -5896,17 +5610,11 @@ "L2_quotients": [ "L_2(7^2)" ], - "quotients": [ - { - "Alt(7)": 1 - }, - { - "J_{1}": 2 - }, - { - "{}^2A_{3}(9)": 1 - } - ], + "quotients": { + "J_{1}": 2, + "{}^2A_{3}(9)": 1, + "Alt(7)": 1 + }, "alternating_quotients": [ 7 ], @@ -5914,17 +5622,16 @@ "L2_quotients_utf8": [ "L₂(7²)" ], - "quotients_utf8": [ - { - "Alt(7)": 1 - }, - { - "J₁": 2 - }, - { - "²A₃(9)": 1 - } - ] + "quotients_utf8": { + "J₁": 2, + "²A₃(9)": 1, + "Alt(7)": 1 + }, + "quotients_plain": { + "J1": 2, + "Alt(7)": 1, + "2A3(9)": 1 + } }, { "name": "G^{14,14,40}_4", @@ -5959,28 +5666,24 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [ - { - "Alt(7)": 2 - }, - { - "M_{22}": 1 - } - ], + "quotients": { + "Alt(7)": 2, + "M_{22}": 1 + }, "alternating_quotients": [ 7, 28 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(7)": 2 - }, - { - "M₂₂": 1 - } - ] + "quotients_utf8": { + "M₂₂": 1, + "Alt(7)": 2 + }, + "quotients_plain": { + "Alt(7)": 2, + "M22": 1 + } }, { "name": "G^{14,14,48}_0", @@ -6016,14 +5719,10 @@ "L2_quotients": [ "L_2(7)" ], - "quotients": [ - { - "Alt(7)": 1 - }, - { - "{}^2A_{2}(25)": 1 - } - ], + "quotients": { + "{}^2A_{2}(25)": 1, + "Alt(7)": 1 + }, "alternating_quotients": [ 3, 7 @@ -6032,14 +5731,14 @@ "L2_quotients_utf8": [ "L₂(7)" ], - "quotients_utf8": [ - { - "Alt(7)": 1 - }, - { - "²A₂(25)": 1 - } - ] + "quotients_utf8": { + "²A₂(25)": 1, + "Alt(7)": 1 + }, + "quotients_plain": { + "2A2(25)": 1, + "Alt(7)": 1 + } }, { "name": "G^{14,14,48}_1", @@ -6075,11 +5774,9 @@ "L2_quotients": [ "L_2(7)" ], - "quotients": [ - { - "Alt(8) or A_{2}(4)": 1 - } - ], + "quotients": { + "Alt(8) or A_{2}(4)": 1 + }, "alternating_quotients": [ 3, 8 @@ -6088,11 +5785,12 @@ "L2_quotients_utf8": [ "L₂(7)" ], - "quotients_utf8": [ - { - "Alt(8) or A₂(4)": 1 - } - ] + "quotients_utf8": { + "Alt(8) or A₂(4)": 1 + }, + "quotients_plain": { + "Alt(8) or A2(4)": 1 + } }, { "name": "G^{14,14,48}_4", @@ -6126,22 +5824,21 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "Alt(7)": 1 - } - ], + "quotients": { + "Alt(7)": 1 + }, "alternating_quotients": [ 3, 7 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(7)": 1 - } - ] + "quotients_utf8": { + "Alt(7)": 1 + }, + "quotients_plain": { + "Alt(7)": 1 + } }, { "name": "G^{14,14,48}_5", @@ -6175,14 +5872,10 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "Alt(8) or A_{2}(4)": 1 - }, - { - "M_{22}": 1 - } - ], + "quotients": { + "Alt(8) or A_{2}(4)": 1, + "M_{22}": 1 + }, "alternating_quotients": [ 3, 8, @@ -6190,14 +5883,14 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(8) or A₂(4)": 1 - }, - { - "M₂₂": 1 - } - ] + "quotients_utf8": { + "Alt(8) or A₂(4)": 1, + "M₂₂": 1 + }, + "quotients_plain": { + "M22": 1, + "Alt(8) or A2(4)": 1 + } }, { "name": "G^{14,14,54}_0", @@ -6232,21 +5925,20 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "{}^2A_{2}(9)": 1 - } - ], + "quotients": { + "{}^2A_{2}(9)": 1 + }, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "²A₂(9)": 1 - } - ] + "quotients_utf8": { + "²A₂(9)": 1 + }, + "quotients_plain": { + "2A2(9)": 1 + } }, { "name": "G^{14,14,54}_4", @@ -6281,13 +5973,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,16,40}_0", @@ -6324,13 +6017,14 @@ "L2_quotients": [ "L_2(7^2)" ], - "quotients": [], + "quotients": {}, "alternating_quotients": [], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [ "L₂(7²)" ], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,16,48}_0", @@ -6364,14 +6058,15 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3, 4 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,16,48}_1", @@ -6407,7 +6102,7 @@ "L2_quotients": [ "L_2(7)" ], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], @@ -6415,7 +6110,8 @@ "L2_quotients_utf8": [ "L₂(7)" ], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,16,54}_0", @@ -6450,13 +6146,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,16,54}_2", @@ -6491,13 +6188,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,18,40}_0", @@ -6533,22 +6231,21 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [ - { - "J_{2}": 1 - } - ], + "quotients": { + "J_{2}": 1 + }, "alternating_quotients": [ 21, 25 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "J₂": 1 - } - ] + "quotients_utf8": { + "J₂": 1 + }, + "quotients_plain": { + "J2": 1 + } }, { "name": "G^{14,18,48}_0", @@ -6583,21 +6280,20 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "G_{2}(3)": 1 - } - ], + "quotients": { + "G_{2}(3)": 1 + }, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "G₂(3)": 1 - } - ] + "quotients_utf8": { + "G₂(3)": 1 + }, + "quotients_plain": { + "G2(3)": 1 + } }, { "name": "G^{14,18,54}_0", @@ -6633,13 +6329,14 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,18,54}_2", @@ -6675,7 +6372,7 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3, 21, @@ -6684,7 +6381,8 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,24,40}_0", @@ -6722,17 +6420,11 @@ "L2_quotients": [ "L_2(7^2)" ], - "quotients": [ - { - "Alt(7)": 1 - }, - { - "Alt(10)": 1 - }, - { - "A_{4}(2)": 1 - } - ], + "quotients": { + "A_{4}(2)": 1, + "Alt(10)": 1, + "Alt(7)": 1 + }, "alternating_quotients": [ 7, 10 @@ -6741,17 +6433,16 @@ "L2_quotients_utf8": [ "L₂(7²)" ], - "quotients_utf8": [ - { - "Alt(7)": 1 - }, - { - "Alt(10)": 1 - }, - { - "A₄(2)": 1 - } - ] + "quotients_utf8": { + "Alt(10)": 1, + "A₄(2)": 1, + "Alt(7)": 1 + }, + "quotients_plain": { + "Alt(10)": 1, + "A4(2)": 1, + "Alt(7)": 1 + } }, { "name": "G^{14,24,48}_0", @@ -6786,14 +6477,15 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3, 4 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,24,48}_1", @@ -6830,23 +6522,13 @@ "L2_quotients": [ "L_2(7)" ], - "quotients": [ - { - "Alt(7)": 1 - }, - { - "Alt(8) or A_{2}(4)": 1 - }, - { - "J_{2}": 1 - }, - { - "C_{3}(2)": 1 - }, - { - "{}^2A_{3}(9)": 1 - } - ], + "quotients": { + "{}^2A_{3}(9)": 1, + "Alt(8) or A_{2}(4)": 1, + "J_{2}": 1, + "C_{3}(2)": 1, + "Alt(7)": 1 + }, "alternating_quotients": [ 3, 7, @@ -6860,23 +6542,20 @@ "L2_quotients_utf8": [ "L₂(7)" ], - "quotients_utf8": [ - { - "Alt(7)": 1 - }, - { - "Alt(8) or A₂(4)": 1 - }, - { - "J₂": 1 - }, - { - "C₃(2)": 1 - }, - { - "²A₃(9)": 1 - } - ] + "quotients_utf8": { + "C₃(2)": 1, + "²A₃(9)": 1, + "Alt(8) or A₂(4)": 1, + "Alt(7)": 1, + "J₂": 1 + }, + "quotients_plain": { + "C3(2)": 1, + "Alt(7)": 1, + "J2": 1, + "2A3(9)": 1, + "Alt(8) or A2(4)": 1 + } }, { "name": "G^{14,24,54}_0", @@ -6912,14 +6591,15 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3, 18 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,24,54}_2", @@ -6955,14 +6635,10 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "C_{3}(2)": 1 - }, - { - "{}^2A_{3}(9)": 1 - } - ], + "quotients": { + "{}^2A_{3}(9)": 1, + "C_{3}(2)": 1 + }, "alternating_quotients": [ 3, 14, @@ -6971,14 +6647,14 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "C₃(2)": 1 - }, - { - "²A₃(9)": 1 - } - ] + "quotients_utf8": { + "C₃(2)": 1, + "²A₃(9)": 1 + }, + "quotients_plain": { + "C3(2)": 1, + "2A3(9)": 1 + } }, { "name": "G^{14,26,40}_0", @@ -7014,11 +6690,12 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,26,40}_4", @@ -7054,11 +6731,12 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,26,48}_0", @@ -7093,13 +6771,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,26,48}_1", @@ -7134,13 +6813,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,26,48}_4", @@ -7175,13 +6855,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,26,48}_5", @@ -7216,13 +6897,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,26,54}_0", @@ -7258,13 +6940,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,26,54}_2", @@ -7300,13 +6983,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,26,54}_4", @@ -7342,13 +7026,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,26,54}_6", @@ -7384,13 +7069,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{16,16,40}_0", @@ -7425,26 +7111,14 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [ - { - "M_{11}": 1 - }, - { - "B_{2}(3)": 1 - }, - { - "J_{2}": 2 - }, - { - "{}^2A_{3}(9)": 1 - }, - { - "B_{2}(5)": 1 - }, - { - "A_{3}(3)": 2 - } - ], + "quotients": { + "M_{11}": 1, + "A_{3}(3)": 2, + "B_{2}(3)": 1, + "{}^2A_{3}(9)": 1, + "J_{2}": 2, + "B_{2}(5)": 1 + }, "alternating_quotients": [ 5, 21, @@ -7453,26 +7127,22 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "M₁₁": 1 - }, - { - "B₂(3)": 1 - }, - { - "J₂": 2 - }, - { - "²A₃(9)": 1 - }, - { - "B₂(5)": 1 - }, - { - "A₃(3)": 2 - } - ] + "quotients_utf8": { + "²A₃(9)": 1, + "B₂(5)": 1, + "A₃(3)": 2, + "J₂": 2, + "B₂(3)": 1, + "M₁₁": 1 + }, + "quotients_plain": { + "B2(3)": 1, + "A3(3)": 2, + "B2(5)": 1, + "M11": 1, + "J2": 2, + "2A3(9)": 1 + } }, { "name": "G^{16,16,48}_0", @@ -7506,23 +7176,13 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 1 - }, - { - "{}^2A_{2}(9)": 2 - }, - { - "Alt(9)": 1 - }, - { - "{}^2A_{2}(81)": 2 - }, - { - "HS": 1 - } - ], + "quotients": { + "Alt(9)": 1, + "HS": 1, + "{}^2A_{2}(9)": 2, + "{}^2A_{2}(81)": 2, + "A_{2}(3)": 1 + }, "alternating_quotients": [ 3, 4, @@ -7535,23 +7195,20 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 1 - }, - { - "²A₂(9)": 2 - }, - { - "Alt(9)": 1 - }, - { - "²A₂(81)": 2 - }, - { - "HS": 1 - } - ] + "quotients_utf8": { + "Alt(9)": 1, + "²A₂(9)": 2, + "²A₂(81)": 2, + "HS": 1, + "A₂(3)": 1 + }, + "quotients_plain": { + "Alt(9)": 1, + "HS": 1, + "A2(3)": 1, + "2A2(81)": 2, + "2A2(9)": 2 + } }, { "name": "G^{16,16,48}_1", @@ -7585,32 +7242,16 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "{}^2A_{2}(9)": 1 - }, - { - "J_{2}": 1 - }, - { - "Alt(10)": 1 - }, - { - "B_{2}(5)": 1 - }, - { - "{}^2A_{2}(64)": 2 - }, - { - "A_{4}(2)": 1 - }, - { - "A_{2}(9)": 1 - }, - { - "{}^2A_{2}(81)": 2 - } - ], + "quotients": { + "{}^2A_{2}(9)": 1, + "{}^2A_{2}(64)": 2, + "A_{4}(2)": 1, + "Alt(10)": 1, + "A_{2}(9)": 1, + "{}^2A_{2}(81)": 2, + "J_{2}": 1, + "B_{2}(5)": 1 + }, "alternating_quotients": [ 3, 4, @@ -7618,32 +7259,26 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "²A₂(9)": 1 - }, - { - "J₂": 1 - }, - { - "Alt(10)": 1 - }, - { - "B₂(5)": 1 - }, - { - "²A₂(64)": 2 - }, - { - "A₄(2)": 1 - }, - { - "A₂(9)": 1 - }, - { - "²A₂(81)": 2 - } - ] + "quotients_utf8": { + "²A₂(9)": 1, + "²A₂(81)": 2, + "Alt(10)": 1, + "B₂(5)": 1, + "²A₂(64)": 2, + "A₄(2)": 1, + "A₂(9)": 1, + "J₂": 1 + }, + "quotients_plain": { + "A2(9)": 1, + "2A2(64)": 2, + "B2(5)": 1, + "Alt(10)": 1, + "A4(2)": 1, + "J2": 1, + "2A2(9)": 1, + "2A2(81)": 2 + } }, { "name": "G^{16,16,54}_0", @@ -7678,17 +7313,11 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "B_{2}(3)": 1 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "B_{2}(3)": 1, + "A_{2}(9)": 3, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3, 4, @@ -7700,17 +7329,16 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "B₂(3)": 1 - }, - { - "A₂(9)": 3 - } - ] + "quotients_utf8": { + "A₂(9)": 3, + "A₂(3)": 2, + "B₂(3)": 1 + }, + "quotients_plain": { + "B2(3)": 1, + "A2(3)": 2, + "A2(9)": 3 + } }, { "name": "G^{16,18,40}_0", @@ -7748,14 +7376,10 @@ "L2_quotients": [ "L_2(3^2)" ], - "quotients": [ - { - "B_{2}(3)": 2 - }, - { - "M_{12}": 5 - } - ], + "quotients": { + "B_{2}(3)": 2, + "M_{12}": 5 + }, "alternating_quotients": [ 6, 18, @@ -7767,14 +7391,14 @@ "L2_quotients_utf8": [ "L₂(3²)" ], - "quotients_utf8": [ - { - "B₂(3)": 2 - }, - { - "M₁₂": 5 - } - ] + "quotients_utf8": { + "M₁₂": 5, + "B₂(3)": 2 + }, + "quotients_plain": { + "M12": 5, + "B2(3)": 2 + } }, { "name": "G^{16,18,48}_0", @@ -7809,17 +7433,11 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "Alt(10)": 1 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "Alt(10)": 1, + "A_{2}(9)": 3, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3, 4, @@ -7830,17 +7448,16 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "Alt(10)": 1 - }, - { - "A₂(9)": 3 - } - ] + "quotients_utf8": { + "Alt(10)": 1, + "A₂(9)": 3, + "A₂(3)": 2 + }, + "quotients_plain": { + "A2(9)": 3, + "A2(3)": 2, + "Alt(10)": 1 + } }, { "name": "G^{16,18,54}_0", @@ -7876,17 +7493,11 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "{}^2A_{2}(64)": 2 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "{}^2A_{2}(64)": 2, + "A_{2}(9)": 3, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3, 4, @@ -7896,17 +7507,16 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "²A₂(64)": 2 - }, - { - "A₂(9)": 3 - } - ] + "quotients_utf8": { + "²A₂(64)": 2, + "A₂(9)": 3, + "A₂(3)": 2 + }, + "quotients_plain": { + "A2(9)": 3, + "A2(3)": 2, + "2A2(64)": 2 + } }, { "name": "G^{16,18,54}_2", @@ -7942,17 +7552,11 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "{}^2A_{2}(64)": 2 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "{}^2A_{2}(64)": 2, + "A_{2}(9)": 3, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3, 4, @@ -7968,17 +7572,16 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "²A₂(64)": 2 - }, - { - "A₂(9)": 3 - } - ] + "quotients_utf8": { + "²A₂(64)": 2, + "A₂(9)": 3, + "A₂(3)": 2 + }, + "quotients_plain": { + "A2(9)": 3, + "A2(3)": 2, + "2A2(64)": 2 + } }, { "name": "G^{16,24,40}_0", @@ -8016,17 +7619,11 @@ "L2_quotients": [ "L_2(3^2)" ], - "quotients": [ - { - "B_{2}(5)": 2 - }, - { - "A_{4}(2)": 3 - }, - { - "Alt(11)": 2 - } - ], + "quotients": { + "A_{4}(2)": 3, + "B_{2}(5)": 2, + "Alt(11)": 2 + }, "alternating_quotients": [ 5, 6, @@ -8038,17 +7635,16 @@ "L2_quotients_utf8": [ "L₂(3²)" ], - "quotients_utf8": [ - { - "B₂(5)": 2 - }, - { - "A₄(2)": 3 - }, - { - "Alt(11)": 2 - } - ] + "quotients_utf8": { + "B₂(5)": 2, + "A₄(2)": 3, + "Alt(11)": 2 + }, + "quotients_plain": { + "B2(5)": 2, + "A4(2)": 3, + "Alt(11)": 2 + } }, { "name": "G^{16,24,48}_0", @@ -8083,17 +7679,11 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "Alt(9)": 1 - }, - { - "C_{3}(2)": 5 - }, - { - "HS": 1 - } - ], + "quotients": { + "Alt(9)": 1, + "HS": 1, + "C_{3}(2)": 5 + }, "alternating_quotients": [ 3, 4, @@ -8117,17 +7707,16 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(9)": 1 - }, - { - "C₃(2)": 5 - }, - { - "HS": 1 - } - ] + "quotients_utf8": { + "C₃(2)": 5, + "Alt(9)": 1, + "HS": 1 + }, + "quotients_plain": { + "Alt(9)": 1, + "HS": 1, + "C3(2)": 5 + } }, { "name": "G^{16,24,48}_1", @@ -8162,38 +7751,18 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "Alt(7)": 1 - }, - { - "Alt(8) or A_{2}(4)": 2 - }, - { - "{}^2A_{2}(25)": 1 - }, - { - "J_{2}": 1 - }, - { - "C_{3}(2)": 2 - }, - { - "Alt(10)": 1 - }, - { - "{}^2A_{3}(9)": 1 - }, - { - "B_{2}(5)": 1 - }, - { - "A_{4}(2)": 1 - }, - { - "HS": 1 - } - ], + "quotients": { + "HS": 1, + "A_{4}(2)": 1, + "Alt(10)": 1, + "{}^2A_{2}(25)": 1, + "Alt(8) or A_{2}(4)": 2, + "J_{2}": 1, + "C_{3}(2)": 2, + "Alt(7)": 1, + "{}^2A_{3}(9)": 1, + "B_{2}(5)": 1 + }, "alternating_quotients": [ 3, 4, @@ -8218,38 +7787,30 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(7)": 1 - }, - { - "Alt(8) or A₂(4)": 2 - }, - { - "²A₂(25)": 1 - }, - { - "J₂": 1 - }, - { - "C₃(2)": 2 - }, - { - "Alt(10)": 1 - }, - { - "²A₃(9)": 1 - }, - { - "B₂(5)": 1 - }, - { - "A₄(2)": 1 - }, - { - "HS": 1 - } - ] + "quotients_utf8": { + "²A₂(25)": 1, + "C₃(2)": 2, + "²A₃(9)": 1, + "HS": 1, + "Alt(10)": 1, + "Alt(8) or A₂(4)": 2, + "B₂(5)": 1, + "A₄(2)": 1, + "Alt(7)": 1, + "J₂": 1 + }, + "quotients_plain": { + "2A2(25)": 1, + "HS": 1, + "B2(5)": 1, + "Alt(10)": 1, + "A4(2)": 1, + "C3(2)": 2, + "Alt(7)": 1, + "J2": 1, + "2A3(9)": 1, + "Alt(8) or A2(4)": 2 + } }, { "name": "G^{16,24,54}_0", @@ -8285,17 +7846,11 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "Alt(9)": 1 - }, - { - "C_{3}(2)": 1 - }, - { - "Alt(10)": 1 - } - ], + "quotients": { + "Alt(9)": 1, + "Alt(10)": 1, + "C_{3}(2)": 1 + }, "alternating_quotients": [ 3, 4, @@ -8313,17 +7868,16 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(9)": 1 - }, - { - "C₃(2)": 1 - }, - { - "Alt(10)": 1 - } - ] + "quotients_utf8": { + "C₃(2)": 1, + "Alt(9)": 1, + "Alt(10)": 1 + }, + "quotients_plain": { + "Alt(9)": 1, + "Alt(10)": 1, + "C3(2)": 1 + } }, { "name": "G^{16,24,54}_2", @@ -8359,14 +7913,10 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "B_{2}(3)": 1 - }, - { - "Alt(10)": 3 - } - ], + "quotients": { + "B_{2}(3)": 1, + "Alt(10)": 3 + }, "alternating_quotients": [ 3, 4, @@ -8386,14 +7936,14 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "B₂(3)": 1 - }, - { - "Alt(10)": 3 - } - ] + "quotients_utf8": { + "Alt(10)": 3, + "B₂(3)": 1 + }, + "quotients_plain": { + "B2(3)": 1, + "Alt(10)": 3 + } }, { "name": "G^{16,26,40}_0", @@ -8431,21 +7981,20 @@ "L2_quotients": [ "L_2(13^2)" ], - "quotients": [ - { - "{}^2F_4(2)'": 1 - } - ], + "quotients": { + "{}^2F_4(2)'": 1 + }, "alternating_quotients": [], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [ "L₂(13²)" ], - "quotients_utf8": [ - { - "²F₄(2)'": 1 - } - ] + "quotients_utf8": { + "²F₄(2)'": 1 + }, + "quotients_plain": { + "2F_4(2)'": 1 + } }, { "name": "G^{16,26,48}_0", @@ -8482,7 +8031,7 @@ "L2_quotients": [ "L_2(13)" ], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3, 16, @@ -8492,7 +8041,8 @@ "L2_quotients_utf8": [ "L₂(13)" ], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{16,26,48}_1", @@ -8527,14 +8077,15 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3, 4 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{16,26,54}_0", @@ -8570,13 +8121,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{16,26,54}_2", @@ -8612,14 +8164,15 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3, 28 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{18,18,40}_0", @@ -8656,14 +8209,10 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "M_{12}": 2 - }, - { - "A_{3}(3)": 4 - } - ], + "quotients": { + "A_{3}(3)": 4, + "M_{12}": 2 + }, "alternating_quotients": [ 3, 5, @@ -8682,14 +8231,14 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "M₁₂": 2 - }, - { - "A₃(3)": 4 - } - ] + "quotients_utf8": { + "M₁₂": 2, + "A₃(3)": 4 + }, + "quotients_plain": { + "M12": 2, + "A3(3)": 4 + } }, { "name": "G^{18,18,48}_0", @@ -8725,23 +8274,13 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "Alt(10)": 1 - }, - { - "{}^2A_{2}(64)": 2 - }, - { - "Alt(11)": 1 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "{}^2A_{2}(64)": 2, + "Alt(10)": 1, + "A_{2}(9)": 3, + "Alt(11)": 1, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3, 4, @@ -8763,23 +8302,20 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "Alt(10)": 1 - }, - { - "²A₂(64)": 2 - }, - { - "Alt(11)": 1 - }, - { - "A₂(9)": 3 - } - ] + "quotients_utf8": { + "Alt(10)": 1, + "²A₂(64)": 2, + "Alt(11)": 1, + "A₂(9)": 3, + "A₂(3)": 2 + }, + "quotients_plain": { + "A2(9)": 3, + "A2(3)": 2, + "2A2(64)": 2, + "Alt(10)": 1, + "Alt(11)": 1 + } }, { "name": "G^{18,18,54}_0", @@ -8816,14 +8352,10 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "A_{2}(9)": 3, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3, 19, @@ -8838,14 +8370,14 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "A₂(9)": 3 - } - ] + "quotients_utf8": { + "A₂(9)": 3, + "A₂(3)": 2 + }, + "quotients_plain": { + "A2(9)": 3, + "A2(3)": 2 + } }, { "name": "G^{18,24,40}_0", @@ -8884,23 +8416,13 @@ "L2_quotients": [ "L_2(3^2)" ], - "quotients": [ - { - "M_{12}": 6 - }, - { - "Alt(10)": 2 - }, - { - "{}^2A_{3}(9)": 2 - }, - { - "A_{3}(3)": 3 - }, - { - "Alt(11)": 4 - } - ], + "quotients": { + "A_{3}(3)": 3, + "Alt(10)": 2, + "M_{12}": 6, + "{}^2A_{3}(9)": 2, + "Alt(11)": 4 + }, "alternating_quotients": [ 3, 5, @@ -8926,23 +8448,20 @@ "L2_quotients_utf8": [ "L₂(3²)" ], - "quotients_utf8": [ - { - "M₁₂": 6 - }, - { - "Alt(10)": 2 - }, - { - "²A₃(9)": 2 - }, - { - "A₃(3)": 3 - }, - { - "Alt(11)": 4 - } - ] + "quotients_utf8": { + "²A₃(9)": 2, + "M₁₂": 6, + "Alt(10)": 2, + "A₃(3)": 3, + "Alt(11)": 4 + }, + "quotients_plain": { + "M12": 6, + "A3(3)": 3, + "Alt(10)": 2, + "Alt(11)": 4, + "2A3(9)": 2 + } }, { "name": "G^{18,24,48}_0", @@ -8978,20 +8497,12 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "Alt(10)": 2 - }, - { - "{}^2A_{3}(9)": 1 - }, - { - "A_{3}(3)": 2 - }, - { - "Alt(11)": 1 - } - ], + "quotients": { + "A_{3}(3)": 2, + "Alt(10)": 2, + "{}^2A_{3}(9)": 1, + "Alt(11)": 1 + }, "alternating_quotients": [ 3, 4, @@ -9016,20 +8527,18 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(10)": 2 - }, - { - "²A₃(9)": 1 - }, - { - "A₃(3)": 2 - }, - { - "Alt(11)": 1 - } - ] + "quotients_utf8": { + "²A₃(9)": 1, + "Alt(10)": 2, + "A₃(3)": 2, + "Alt(11)": 1 + }, + "quotients_plain": { + "A3(3)": 2, + "Alt(10)": 2, + "Alt(11)": 1, + "2A3(9)": 1 + } }, { "name": "G^{18,24,54}_0", @@ -9066,17 +8575,11 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "Alt(10)": 2 - }, - { - "A_{3}(3)": 4 - }, - { - "Alt(11)": 2 - } - ], + "quotients": { + "A_{3}(3)": 4, + "Alt(10)": 2, + "Alt(11)": 2 + }, "alternating_quotients": [ 3, 4, @@ -9100,17 +8603,16 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(10)": 2 - }, - { - "A₃(3)": 4 - }, - { - "Alt(11)": 2 - } - ] + "quotients_utf8": { + "Alt(10)": 2, + "A₃(3)": 4, + "Alt(11)": 2 + }, + "quotients_plain": { + "A3(3)": 4, + "Alt(10)": 2, + "Alt(11)": 2 + } }, { "name": "G^{18,24,54}_2", @@ -9147,17 +8649,11 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "Alt(9)": 2 - }, - { - "Alt(10)": 1 - }, - { - "Alt(11)": 1 - } - ], + "quotients": { + "Alt(9)": 2, + "Alt(10)": 1, + "Alt(11)": 1 + }, "alternating_quotients": [ 3, 4, @@ -9181,17 +8677,16 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(9)": 2 - }, - { - "Alt(10)": 1 - }, - { - "Alt(11)": 1 - } - ] + "quotients_utf8": { + "Alt(9)": 2, + "Alt(10)": 1, + "Alt(11)": 1 + }, + "quotients_plain": { + "Alt(9)": 2, + "Alt(10)": 1, + "Alt(11)": 1 + } }, { "name": "G^{18,26,40}_0", @@ -9228,11 +8723,12 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{18,26,48}_0", @@ -9268,22 +8764,21 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "G_{2}(3)": 1 - } - ], + "quotients": { + "G_{2}(3)": 1 + }, "alternating_quotients": [ 3, 27 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "G₂(3)": 1 - } - ] + "quotients_utf8": { + "G₂(3)": 1 + }, + "quotients_plain": { + "G2(3)": 1 + } }, { "name": "G^{18,26,54}_0", @@ -9320,14 +8815,10 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "A_{2}(9)": 3, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3, 13, @@ -9336,14 +8827,14 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "A₂(9)": 3 - } - ] + "quotients_utf8": { + "A₂(9)": 3, + "A₂(3)": 2 + }, + "quotients_plain": { + "A2(9)": 3, + "A2(3)": 2 + } }, { "name": "G^{18,26,54}_2", @@ -9380,28 +8871,24 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "A_{2}(9)": 3, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3, 13 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "A₂(9)": 3 - } - ] + "quotients_utf8": { + "A₂(9)": 3, + "A₂(3)": 2 + }, + "quotients_plain": { + "A2(9)": 3, + "A2(3)": 2 + } }, { "name": "G^{24,24,40}_0", @@ -9441,32 +8928,16 @@ "L_2(3^2)", "L_2(3^2)" ], - "quotients": [ - { - "Alt(7)": 2 - }, - { - "M_{22}": 2 - }, - { - "J_{2}": 4 - }, - { - "C_{2}(4)": 4 - }, - { - "C_{3}(2)": 1 - }, - { - "B_{2}(5)": 8 - }, - { - "A_{3}(3)": 1 - }, - { - "A_{4}(2)": 2 - } - ], + "quotients": { + "A_{3}(3)": 1, + "A_{4}(2)": 2, + "C_{3}(2)": 1, + "J_{2}": 4, + "C_{2}(4)": 4, + "Alt(7)": 2, + "M_{22}": 2, + "B_{2}(5)": 8 + }, "alternating_quotients": [ 3, 5, @@ -9493,32 +8964,26 @@ "L₂(3²)", "L₂(3²)" ], - "quotients_utf8": [ - { - "Alt(7)": 2 - }, - { - "M₂₂": 2 - }, - { - "J₂": 4 - }, - { - "C₂(4)": 4 - }, - { - "C₃(2)": 1 - }, - { - "B₂(5)": 8 - }, - { - "A₃(3)": 1 - }, - { - "A₄(2)": 2 - } - ] + "quotients_utf8": { + "C₂(4)": 4, + "C₃(2)": 1, + "B₂(5)": 8, + "M₂₂": 2, + "A₃(3)": 1, + "A₄(2)": 2, + "Alt(7)": 2, + "J₂": 4 + }, + "quotients_plain": { + "A3(3)": 1, + "B2(5)": 8, + "C2(4)": 4, + "A4(2)": 2, + "C3(2)": 1, + "Alt(7)": 2, + "M22": 2, + "J2": 4 + } }, { "name": "G^{24,24,48}_0", @@ -9554,23 +9019,13 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "M_{22}": 1 - }, - { - "C_{3}(2)": 6 - }, - { - "{}^2A_{3}(9)": 5 - }, - { - "B_{2}(5)": 2 - }, - { - "A_{3}(3)": 1 - } - ], + "quotients": { + "A_{3}(3)": 1, + "{}^2A_{3}(9)": 5, + "C_{3}(2)": 6, + "B_{2}(5)": 2, + "M_{22}": 1 + }, "alternating_quotients": [ 3, 4, @@ -9597,23 +9052,20 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "M₂₂": 1 - }, - { - "C₃(2)": 6 - }, - { - "²A₃(9)": 5 - }, - { - "B₂(5)": 2 - }, - { - "A₃(3)": 1 - } - ] + "quotients_utf8": { + "C₃(2)": 6, + "²A₃(9)": 5, + "B₂(5)": 2, + "M₂₂": 1, + "A₃(3)": 1 + }, + "quotients_plain": { + "A3(3)": 1, + "B2(5)": 2, + "C3(2)": 6, + "2A3(9)": 5, + "M22": 1 + } }, { "name": "G^{24,24,48}_1", @@ -9649,44 +9101,20 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "Alt(7)": 3 - }, - { - "Alt(8) or A_{2}(4)": 2 - }, - { - "M_{12}": 1 - }, - { - "{}^2A_{2}(25)": 1 - }, - { - "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 - }, - { - "HS": 1 - } - ], + "quotients": { + "HS": 1, + "M_{12}": 1, + "Alt(8) or A_{2}(4)": 2, + "J_{2}": 1, + "C_{3}(2)": 3, + "Alt(7)": 3, + "B_{2}(5)": 3, + "A_{4}(2)": 1, + "{}^2A_{3}(9)": 1, + "{}^2A_{2}(25)": 1, + "A_{2}(7)": 1, + "{}^2A_{4}(4)": 2 + }, "alternating_quotients": [ 3, 4, @@ -9711,44 +9139,34 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(7)": 3 - }, - { - "Alt(8) or A₂(4)": 2 - }, - { - "M₁₂": 1 - }, - { - "²A₂(25)": 1 - }, - { - "J₂": 1 - }, - { - "C₃(2)": 3 - }, - { - "A₂(7)": 1 - }, - { - "²A₃(9)": 1 - }, - { - "B₂(5)": 3 - }, - { - "A₄(2)": 1 - }, - { - "²A₄(4)": 2 - }, - { - "HS": 1 - } - ] + "quotients_utf8": { + "²A₄(4)": 2, + "²A₂(25)": 1, + "²A₃(9)": 1, + "HS": 1, + "M₁₂": 1, + "B₂(5)": 3, + "Alt(7)": 3, + "A₂(7)": 1, + "C₃(2)": 3, + "Alt(8) or A₂(4)": 2, + "A₄(2)": 1, + "J₂": 1 + }, + "quotients_plain": { + "2A2(25)": 1, + "HS": 1, + "B2(5)": 3, + "A4(2)": 1, + "C3(2)": 3, + "Alt(7)": 3, + "J2": 1, + "Alt(8) or A2(4)": 2, + "M12": 1, + "A2(7)": 1, + "2A3(9)": 1, + "2A4(4)": 2 + } }, { "name": "G^{24,24,54}_0", @@ -9785,20 +9203,12 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "Alt(9)": 3 - }, - { - "Alt(10)": 4 - }, - { - "{}^2A_{3}(9)": 1 - }, - { - "Alt(11)": 2 - } - ], + "quotients": { + "Alt(9)": 3, + "Alt(10)": 4, + "{}^2A_{3}(9)": 1, + "Alt(11)": 2 + }, "alternating_quotients": [ 3, 4, @@ -9825,20 +9235,18 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(9)": 3 - }, - { - "Alt(10)": 4 - }, - { - "²A₃(9)": 1 - }, - { - "Alt(11)": 2 - } - ] + "quotients_utf8": { + "Alt(9)": 3, + "²A₃(9)": 1, + "Alt(10)": 4, + "Alt(11)": 2 + }, + "quotients_plain": { + "Alt(9)": 3, + "Alt(10)": 4, + "Alt(11)": 2, + "2A3(9)": 1 + } }, { "name": "G^{24,26,40}_0", @@ -9877,13 +9285,14 @@ "L2_quotients": [ "L_2(13^2)" ], - "quotients": [], + "quotients": {}, "alternating_quotients": [], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [ "L₂(13²)" ], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{24,26,48}_0", @@ -9921,11 +9330,9 @@ "L2_quotients": [ "L_2(13)" ], - "quotients": [ - { - "A_{3}(3)": 1 - } - ], + "quotients": { + "A_{3}(3)": 1 + }, "alternating_quotients": [ 3, 13, @@ -9942,11 +9349,12 @@ "L2_quotients_utf8": [ "L₂(13)" ], - "quotients_utf8": [ - { - "A₃(3)": 1 - } - ] + "quotients_utf8": { + "A₃(3)": 1 + }, + "quotients_plain": { + "A3(3)": 1 + } }, { "name": "G^{24,26,48}_1", @@ -9982,7 +9390,7 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3, 4, @@ -9991,7 +9399,8 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{24,26,54}_0", @@ -10028,11 +9437,9 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "A_{3}(3)": 1 - } - ], + "quotients": { + "A_{3}(3)": 1 + }, "alternating_quotients": [ 3, 13, @@ -10042,11 +9449,12 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₃(3)": 1 - } - ] + "quotients_utf8": { + "A₃(3)": 1 + }, + "quotients_plain": { + "A3(3)": 1 + } }, { "name": "G^{24,26,54}_2", @@ -10083,7 +9491,7 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3, 13, @@ -10091,7 +9499,8 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{26,26,40}_0", @@ -10128,13 +9537,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 13 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{26,26,40}_4", @@ -10173,14 +9583,10 @@ "L2_quotients": [ "L_2(13^2)" ], - "quotients": [ - { - "{}^2A_{2}(16)": 1 - }, - { - "A_{3}(3)": 1 - } - ], + "quotients": { + "A_{3}(3)": 1, + "{}^2A_{2}(16)": 1 + }, "alternating_quotients": [ 13, 26 @@ -10189,14 +9595,14 @@ "L2_quotients_utf8": [ "L₂(13²)" ], - "quotients_utf8": [ - { - "²A₂(16)": 1 - }, - { - "A₃(3)": 1 - } - ] + "quotients_utf8": { + "A₃(3)": 1, + "²A₂(16)": 1 + }, + "quotients_plain": { + "2A2(16)": 1, + "A3(3)": 1 + } }, { "name": "G^{26,26,48}_0", @@ -10232,14 +9638,10 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "G_{2}(3)": 1 - } - ], + "quotients": { + "G_{2}(3)": 1, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3, 13, @@ -10249,14 +9651,14 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "G₂(3)": 1 - } - ] + "quotients_utf8": { + "A₂(3)": 2, + "G₂(3)": 1 + }, + "quotients_plain": { + "A2(3)": 2, + "G2(3)": 1 + } }, { "name": "G^{26,26,48}_1", @@ -10292,7 +9694,7 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3, 26, @@ -10300,7 +9702,8 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{26,26,48}_4", @@ -10338,17 +9741,11 @@ "L2_quotients": [ "L_2(13)" ], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "G_{2}(3)": 1 - }, - { - "A_{3}(3)": 1 - } - ], + "quotients": { + "A_{3}(3)": 1, + "G_{2}(3)": 1, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3, 13, @@ -10362,17 +9759,16 @@ "L2_quotients_utf8": [ "L₂(13)" ], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "G₂(3)": 1 - }, - { - "A₃(3)": 1 - } - ] + "quotients_utf8": { + "A₃(3)": 1, + "A₂(3)": 2, + "G₂(3)": 1 + }, + "quotients_plain": { + "A2(3)": 2, + "A3(3)": 1, + "G2(3)": 1 + } }, { "name": "G^{26,26,48}_5", @@ -10410,14 +9806,10 @@ "L2_quotients": [ "L_2(13)" ], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "A_{3}(3)": 1 - } - ], + "quotients": { + "A_{3}(3)": 1, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3, 13, @@ -10428,14 +9820,14 @@ "L2_quotients_utf8": [ "L₂(13)" ], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "A₃(3)": 1 - } - ] + "quotients_utf8": { + "A₃(3)": 1, + "A₂(3)": 2 + }, + "quotients_plain": { + "A2(3)": 2, + "A3(3)": 1 + } }, { "name": "G^{26,26,54}_0", @@ -10472,22 +9864,21 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "G_{2}(3)": 2 - } - ], + "quotients": { + "G_{2}(3)": 2 + }, "alternating_quotients": [ 3, 13 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "G₂(3)": 2 - } - ] + "quotients_utf8": { + "G₂(3)": 2 + }, + "quotients_plain": { + "G2(3)": 2 + } }, { "name": "G^{26,26,54}_4", @@ -10524,14 +9915,10 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "G_{2}(3)": 1 - } - ], + "quotients": { + "G_{2}(3)": 1, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3, 13, @@ -10539,14 +9926,14 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "G₂(3)": 1 - } - ] + "quotients_utf8": { + "A₂(3)": 2, + "G₂(3)": 1 + }, + "quotients_plain": { + "A2(3)": 2, + "G2(3)": 1 + } }, { "name": "G^{14,40,40}_0", @@ -10584,29 +9971,15 @@ "L2_quotients": [ "L_2(7^2)" ], - "quotients": [ - { - "Alt(8) or A_{2}(4)": 5 - }, - { - "C_{3}(2)": 2 - }, - { - "Alt(10)": 4 - }, - { - "{}^2A_{3}(9)": 2 - }, - { - "A_{4}(2)": 3 - }, - { - "Alt(11)": 3 - }, - { - "A_{2}(9)": 1 - } - ], + "quotients": { + "A_{4}(2)": 3, + "Alt(10)": 4, + "{}^2A_{3}(9)": 2, + "Alt(8) or A_{2}(4)": 5, + "C_{3}(2)": 2, + "Alt(11)": 3, + "A_{2}(9)": 1 + }, "alternating_quotients": [ 5, 10, @@ -10619,29 +9992,24 @@ "L2_quotients_utf8": [ "L₂(7²)" ], - "quotients_utf8": [ - { - "Alt(8) or A₂(4)": 5 - }, - { - "C₃(2)": 2 - }, - { - "Alt(10)": 4 - }, - { - "²A₃(9)": 2 - }, - { - "A₄(2)": 3 - }, - { - "Alt(11)": 3 - }, - { - "A₂(9)": 1 - } - ] + "quotients_utf8": { + "C₃(2)": 2, + "²A₃(9)": 2, + "Alt(10)": 4, + "Alt(8) or A₂(4)": 5, + "A₄(2)": 3, + "Alt(11)": 3, + "A₂(9)": 1 + }, + "quotients_plain": { + "A2(9)": 1, + "Alt(10)": 4, + "A4(2)": 3, + "C3(2)": 2, + "2A3(9)": 2, + "Alt(11)": 3, + "Alt(8) or A2(4)": 5 + } }, { "name": "G^{14,40,48}_0", @@ -10678,17 +10046,11 @@ "L2_quotients": [ "L_2(7^2)" ], - "quotients": [ - { - "Alt(7)": 1 - }, - { - "Alt(10)": 1 - }, - { - "A_{4}(2)": 1 - } - ], + "quotients": { + "A_{4}(2)": 1, + "Alt(10)": 1, + "Alt(7)": 1 + }, "alternating_quotients": [ 7, 10 @@ -10697,17 +10059,16 @@ "L2_quotients_utf8": [ "L₂(7²)" ], - "quotients_utf8": [ - { - "Alt(7)": 1 - }, - { - "Alt(10)": 1 - }, - { - "A₄(2)": 1 - } - ] + "quotients_utf8": { + "Alt(10)": 1, + "A₄(2)": 1, + "Alt(7)": 1 + }, + "quotients_plain": { + "Alt(10)": 1, + "A4(2)": 1, + "Alt(7)": 1 + } }, { "name": "G^{14,40,54}_0", @@ -10743,28 +10104,24 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [ - { - "J_{2}": 1 - }, - { - "C_{3}(2)": 2 - } - ], + "quotients": { + "C_{3}(2)": 2, + "J_{2}": 1 + }, "alternating_quotients": [ 21, 25 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "J₂": 1 - }, - { - "C₃(2)": 2 - } - ] + "quotients_utf8": { + "C₃(2)": 2, + "J₂": 1 + }, + "quotients_plain": { + "C3(2)": 2, + "J2": 1 + } }, { "name": "G^{14,40,54}_2", @@ -10800,14 +10157,10 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [ - { - "J_{2}": 1 - }, - { - "C_{3}(2)": 2 - } - ], + "quotients": { + "C_{3}(2)": 2, + "J_{2}": 1 + }, "alternating_quotients": [ 20, 21, @@ -10818,14 +10171,14 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "J₂": 1 - }, - { - "C₃(2)": 2 - } - ] + "quotients_utf8": { + "C₃(2)": 2, + "J₂": 1 + }, + "quotients_plain": { + "C3(2)": 2, + "J2": 1 + } }, { "name": "G^{14,48,48}_0", @@ -10861,26 +10214,14 @@ "L2_quotients": [ "L_2(7)" ], - "quotients": [ - { - "Alt(7)": 1 - }, - { - "Alt(8) or A_{2}(4)": 1 - }, - { - "J_{2}": 1 - }, - { - "C_{3}(2)": 2 - }, - { - "{}^2A_{3}(9)": 1 - }, - { - "G_{2}(3)": 2 - } - ], + "quotients": { + "{}^2A_{3}(9)": 1, + "Alt(8) or A_{2}(4)": 1, + "J_{2}": 1, + "C_{3}(2)": 2, + "Alt(7)": 1, + "G_{2}(3)": 2 + }, "alternating_quotients": [ 3, 7, @@ -10899,26 +10240,22 @@ "L2_quotients_utf8": [ "L₂(7)" ], - "quotients_utf8": [ - { - "Alt(7)": 1 - }, - { - "Alt(8) or A₂(4)": 1 - }, - { - "J₂": 1 - }, - { - "C₃(2)": 2 - }, - { - "²A₃(9)": 1 - }, - { - "G₂(3)": 2 - } - ] + "quotients_utf8": { + "C₃(2)": 2, + "²A₃(9)": 1, + "Alt(8) or A₂(4)": 1, + "Alt(7)": 1, + "J₂": 1, + "G₂(3)": 2 + }, + "quotients_plain": { + "G2(3)": 2, + "C3(2)": 2, + "Alt(7)": 1, + "J2": 1, + "2A3(9)": 1, + "Alt(8) or A2(4)": 1 + } }, { "name": "G^{14,48,48}_1", @@ -10952,14 +10289,15 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3, 4 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,48,54}_0", @@ -10994,22 +10332,21 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "G_{2}(3)": 1 - } - ], + "quotients": { + "G_{2}(3)": 1 + }, "alternating_quotients": [ 3, 18 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "G₂(3)": 1 - } - ] + "quotients_utf8": { + "G₂(3)": 1 + }, + "quotients_plain": { + "G2(3)": 1 + } }, { "name": "G^{14,48,54}_2", @@ -11044,17 +10381,11 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "C_{3}(2)": 3 - }, - { - "{}^2A_{3}(9)": 1 - }, - { - "G_{2}(3)": 1 - } - ], + "quotients": { + "{}^2A_{3}(9)": 1, + "C_{3}(2)": 3, + "G_{2}(3)": 1 + }, "alternating_quotients": [ 3, 14, @@ -11067,17 +10398,16 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "C₃(2)": 3 - }, - { - "²A₃(9)": 1 - }, - { - "G₂(3)": 1 - } - ] + "quotients_utf8": { + "C₃(2)": 3, + "²A₃(9)": 1, + "G₂(3)": 1 + }, + "quotients_plain": { + "C3(2)": 3, + "2A3(9)": 1, + "G2(3)": 1 + } }, { "name": "G^{14,54,54}_0", @@ -11113,7 +10443,7 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3, 21, @@ -11122,7 +10452,8 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{14,54,54}_2", @@ -11158,14 +10489,10 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "Alt(10)": 6 - }, - { - "{}^2A_{3}(9)": 2 - } - ], + "quotients": { + "Alt(10)": 6, + "{}^2A_{3}(9)": 2 + }, "alternating_quotients": [ 3, 10, @@ -11184,14 +10511,14 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(10)": 6 - }, - { - "²A₃(9)": 2 - } - ] + "quotients_utf8": { + "²A₃(9)": 2, + "Alt(10)": 6 + }, + "quotients_plain": { + "Alt(10)": 6, + "2A3(9)": 2 + } }, { "name": "G^{14,54,54}_8", @@ -11227,7 +10554,7 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 3, 18, @@ -11237,7 +10564,8 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{16,40,40}_0", @@ -11275,38 +10603,18 @@ "L2_quotients": [ "L_2(inf^4)" ], - "quotients": [ - { - "M_{11}": 4 - }, - { - "B_{2}(3)": 7 - }, - { - "{}^2A_{2}(25)": 1 - }, - { - "J_{2}": 2 - }, - { - "C_{2}(4)": 2 - }, - { - "Alt(10)": 4 - }, - { - "{}^2A_{3}(9)": 4 - }, - { - "B_{2}(5)": 11 - }, - { - "A_{3}(3)": 2 - }, - { - "Alt(11)": 6 - } - ], + "quotients": { + "M_{11}": 4, + "A_{3}(3)": 2, + "B_{2}(3)": 7, + "{}^2A_{2}(25)": 1, + "Alt(10)": 4, + "J_{2}": 2, + "C_{2}(4)": 2, + "{}^2A_{3}(9)": 4, + "B_{2}(5)": 11, + "Alt(11)": 6 + }, "alternating_quotients": [ 5, 6, @@ -11330,38 +10638,30 @@ "L2_quotients_utf8": [ "L₂(inf⁴)" ], - "quotients_utf8": [ - { - "M₁₁": 4 - }, - { - "B₂(3)": 7 - }, - { - "²A₂(25)": 1 - }, - { - "J₂": 2 - }, - { - "C₂(4)": 2 - }, - { - "Alt(10)": 4 - }, - { - "²A₃(9)": 4 - }, - { - "B₂(5)": 11 - }, - { - "A₃(3)": 2 - }, - { - "Alt(11)": 6 - } - ] + "quotients_utf8": { + "C₂(4)": 2, + "²A₂(25)": 1, + "²A₃(9)": 4, + "Alt(10)": 4, + "B₂(5)": 11, + "A₃(3)": 2, + "Alt(11)": 6, + "J₂": 2, + "B₂(3)": 7, + "M₁₁": 4 + }, + "quotients_plain": { + "B2(3)": 7, + "2A2(25)": 1, + "A3(3)": 2, + "B2(5)": 11, + "C2(4)": 2, + "M11": 4, + "Alt(10)": 4, + "Alt(11)": 6, + "J2": 2, + "2A3(9)": 4 + } }, { "name": "G^{16,40,48}_0", @@ -11398,32 +10698,16 @@ "L2_quotients": [ "L_2(3^2)" ], - "quotients": [ - { - "M_{11}": 1 - }, - { - "B_{2}(3)": 1 - }, - { - "J_{2}": 2 - }, - { - "{}^2A_{3}(9)": 1 - }, - { - "B_{2}(5)": 5 - }, - { - "A_{3}(3)": 2 - }, - { - "A_{4}(2)": 3 - }, - { - "Alt(11)": 2 - } - ], + "quotients": { + "M_{11}": 1, + "A_{3}(3)": 2, + "A_{4}(2)": 3, + "B_{2}(3)": 1, + "{}^2A_{3}(9)": 1, + "J_{2}": 2, + "B_{2}(5)": 5, + "Alt(11)": 2 + }, "alternating_quotients": [ 5, 6, @@ -11444,32 +10728,26 @@ "L2_quotients_utf8": [ "L₂(3²)" ], - "quotients_utf8": [ - { - "M₁₁": 1 - }, - { - "B₂(3)": 1 - }, - { - "J₂": 2 - }, - { - "²A₃(9)": 1 - }, - { - "B₂(5)": 5 - }, - { - "A₃(3)": 2 - }, - { - "A₄(2)": 3 - }, - { - "Alt(11)": 2 - } - ] + "quotients_utf8": { + "²A₃(9)": 1, + "B₂(5)": 5, + "A₃(3)": 2, + "A₄(2)": 3, + "Alt(11)": 2, + "J₂": 2, + "B₂(3)": 1, + "M₁₁": 1 + }, + "quotients_plain": { + "B2(3)": 1, + "A3(3)": 2, + "B2(5)": 5, + "M11": 1, + "A4(2)": 3, + "Alt(11)": 2, + "J2": 2, + "2A3(9)": 1 + } }, { "name": "G^{16,40,54}_0", @@ -11507,26 +10785,14 @@ "L2_quotients": [ "L_2(3^2)" ], - "quotients": [ - { - "B_{2}(3)": 5 - }, - { - "M_{12}": 5 - }, - { - "C_{3}(2)": 1 - }, - { - "{}^2A_{3}(9)": 2 - }, - { - "A_{3}(3)": 3 - }, - { - "{}^2A_{4}(4)": 1 - } - ], + "quotients": { + "A_{3}(3)": 3, + "B_{2}(3)": 5, + "M_{12}": 5, + "C_{3}(2)": 1, + "{}^2A_{3}(9)": 2, + "{}^2A_{4}(4)": 1 + }, "alternating_quotients": [ 6, 12, @@ -11545,26 +10811,22 @@ "L2_quotients_utf8": [ "L₂(3²)" ], - "quotients_utf8": [ - { - "B₂(3)": 5 - }, - { - "M₁₂": 5 - }, - { - "C₃(2)": 1 - }, - { - "²A₃(9)": 2 - }, - { - "A₃(3)": 3 - }, - { - "²A₄(4)": 1 - } - ] + "quotients_utf8": { + "²A₄(4)": 1, + "C₃(2)": 1, + "²A₃(9)": 2, + "M₁₂": 5, + "A₃(3)": 3, + "B₂(3)": 5 + }, + "quotients_plain": { + "M12": 5, + "B2(3)": 5, + "A3(3)": 3, + "C3(2)": 1, + "2A3(9)": 2, + "2A4(4)": 1 + } }, { "name": "G^{16,40,54}_2", @@ -11602,26 +10864,14 @@ "L2_quotients": [ "L_2(3^2)" ], - "quotients": [ - { - "B_{2}(3)": 4 - }, - { - "M_{12}": 5 - }, - { - "Alt(10)": 3 - }, - { - "{}^2A_{3}(9)": 4 - }, - { - "A_{3}(3)": 4 - }, - { - "{}^2A_{4}(4)": 1 - } - ], + "quotients": { + "A_{3}(3)": 4, + "B_{2}(3)": 4, + "M_{12}": 5, + "Alt(10)": 3, + "{}^2A_{3}(9)": 4, + "{}^2A_{4}(4)": 1 + }, "alternating_quotients": [ 6, 10, @@ -11644,26 +10894,22 @@ "L2_quotients_utf8": [ "L₂(3²)" ], - "quotients_utf8": [ - { - "B₂(3)": 4 - }, - { - "M₁₂": 5 - }, - { - "Alt(10)": 3 - }, - { - "²A₃(9)": 4 - }, - { - "A₃(3)": 4 - }, - { - "²A₄(4)": 1 - } - ] + "quotients_utf8": { + "²A₄(4)": 1, + "²A₃(9)": 4, + "M₁₂": 5, + "Alt(10)": 3, + "A₃(3)": 4, + "B₂(3)": 4 + }, + "quotients_plain": { + "M12": 5, + "B2(3)": 4, + "A3(3)": 4, + "Alt(10)": 3, + "2A3(9)": 4, + "2A4(4)": 1 + } }, { "name": "G^{16,48,48}_0", @@ -11697,59 +10943,25 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "Alt(7)": 1 - }, - { - "{}^2A_{2}(9)": 1 - }, - { - "Alt(8) or A_{2}(4)": 2 - }, - { - "B_{2}(3)": 5 - }, - { - "{}^2A_{2}(25)": 1 - }, - { - "J_{2}": 2 - }, - { - "C_{3}(2)": 5 - }, - { - "Alt(10)": 2 - }, - { - "{}^2A_{3}(9)": 4 - }, - { - "B_{2}(5)": 5 - }, - { - "{}^2A_{2}(64)": 2 - }, - { - "A_{3}(3)": 5 - }, - { - "A_{4}(2)": 2 - }, - { - "Alt(11)": 1 - }, - { - "A_{2}(9)": 1 - }, - { - "{}^2A_{2}(81)": 2 - }, - { - "HS": 1 - } - ], + "quotients": { + "HS": 1, + "{}^2A_{2}(81)": 2, + "{}^2A_{2}(64)": 2, + "Alt(10)": 2, + "Alt(8) or A_{2}(4)": 2, + "J_{2}": 2, + "C_{3}(2)": 5, + "Alt(7)": 1, + "B_{2}(5)": 5, + "{}^2A_{2}(9)": 1, + "A_{3}(3)": 5, + "A_{4}(2)": 2, + "B_{2}(3)": 5, + "{}^2A_{2}(25)": 1, + "{}^2A_{3}(9)": 4, + "Alt(11)": 1, + "A_{2}(9)": 1 + }, "alternating_quotients": [ 3, 4, @@ -11775,59 +10987,44 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(7)": 1 - }, - { - "²A₂(9)": 1 - }, - { - "Alt(8) or A₂(4)": 2 - }, - { - "B₂(3)": 5 - }, - { - "²A₂(25)": 1 - }, - { - "J₂": 2 - }, - { - "C₃(2)": 5 - }, - { - "Alt(10)": 2 - }, - { - "²A₃(9)": 4 - }, - { - "B₂(5)": 5 - }, - { - "²A₂(64)": 2 - }, - { - "A₃(3)": 5 - }, - { - "A₄(2)": 2 - }, - { - "Alt(11)": 1 - }, - { - "A₂(9)": 1 - }, - { - "²A₂(81)": 2 - }, - { - "HS": 1 - } - ] + "quotients_utf8": { + "²A₂(25)": 1, + "²A₃(9)": 4, + "²A₂(81)": 2, + "HS": 1, + "Alt(10)": 2, + "B₂(5)": 5, + "A₂(9)": 1, + "Alt(7)": 1, + "B₂(3)": 5, + "C₃(2)": 5, + "²A₂(9)": 1, + "Alt(8) or A₂(4)": 2, + "²A₂(64)": 2, + "A₃(3)": 5, + "A₄(2)": 2, + "J₂": 2, + "Alt(11)": 1 + }, + "quotients_plain": { + "2A2(25)": 1, + "A3(3)": 5, + "A2(9)": 1, + "B2(5)": 5, + "Alt(10)": 2, + "HS": 1, + "A4(2)": 2, + "C3(2)": 5, + "Alt(7)": 1, + "2A2(9)": 1, + "J2": 2, + "Alt(8) or A2(4)": 2, + "B2(3)": 5, + "2A2(64)": 2, + "Alt(11)": 1, + "2A3(9)": 4, + "2A2(81)": 2 + } }, { "name": "G^{16,48,48}_1", @@ -11861,38 +11058,18 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - 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}, - { - "A_{3}(3)": 10 - }, - { - "Alt(11)": 5 - } - ], + "quotients": { + "A_{3}(3)": 10, + "B_{2}(3)": 5, + "M_{12}": 7, + "Alt(10)": 2, + "{}^2A_{3}(9)": 4, + "Alt(11)": 5 + }, "alternating_quotients": [ 3, 5, @@ -12670,26 +11701,22 @@ "L2_quotients_utf8": [ "L₂(3²)" ], - "quotients_utf8": [ - { - "B₂(3)": 5 - }, - { - "M₁₂": 7 - }, - { - "Alt(10)": 2 - }, - { - "²A₃(9)": 4 - }, - { - "A₃(3)": 10 - }, - { - "Alt(11)": 5 - } - ] + "quotients_utf8": { + "²A₃(9)": 4, + "M₁₂": 7, + "Alt(10)": 2, + "A₃(3)": 10, + "Alt(11)": 5, + "B₂(3)": 5 + }, + "quotients_plain": { + "M12": 7, + "B2(3)": 5, + "A3(3)": 10, + "Alt(10)": 2, + "Alt(11)": 5, + "2A3(9)": 4 + } }, { "name": "G^{18,40,54}_0", @@ -12726,23 +11753,13 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "B_{2}(3)": 2 - }, - { - "M_{12}": 2 - }, - { - "Alt(10)": 4 - }, - { - "A_{3}(3)": 14 - }, - { - "{}^2A_{4}(4)": 3 - } - ], + "quotients": { + "A_{3}(3)": 14, + "B_{2}(3)": 2, + "M_{12}": 2, + "Alt(10)": 4, + "{}^2A_{4}(4)": 3 + }, "alternating_quotients": [ 3, 5, @@ -12765,23 +11782,20 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - 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}, - { - "A₃(3)": 5 - }, - { - "²A₄(4)": 4 - } - ] + "quotients_utf8": { + "²A₄(4)": 4, + "Alt(9)": 2, + "²A₃(9)": 3, + "M₁₂": 2, + "A₃(3)": 5, + "B₂(3)": 2 + }, + "quotients_plain": { + "M12": 2, + "B2(3)": 2, + "Alt(9)": 2, + "A3(3)": 5, + "2A3(9)": 3, + "2A4(4)": 4 + } }, { "name": "G^{18,48,48}_0", @@ -12915,29 +11913,15 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "B_{2}(3)": 3 - }, - { - "Alt(10)": 3 - }, - { - "{}^2A_{3}(9)": 4 - }, - { - "A_{3}(3)": 9 - }, - { - "Alt(11)": 2 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "A_{3}(3)": 9, + "B_{2}(3)": 3, + "Alt(10)": 3, + "{}^2A_{3}(9)": 4, + "Alt(11)": 2, + "A_{2}(9)": 3, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3, 4, @@ -12964,29 +11948,24 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "B₂(3)": 3 - }, - { - "Alt(10)": 3 - }, - { - "²A₃(9)": 4 - }, - { - 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{ - "Alt(10)": 2 - }, - { - "²A₂(64)": 2 - }, - { - "A₃(3)": 8 - }, - { - "Alt(11)": 4 - }, - { - "A₂(9)": 3 - } - ] + "quotients_utf8": { + "Alt(10)": 2, + "A₃(3)": 8, + "²A₂(64)": 2, + "Alt(11)": 4, + "A₂(9)": 3, + "A₂(3)": 2, + "B₂(3)": 2 + }, + "quotients_plain": { + "B2(3)": 2, + "A2(3)": 2, + "2A2(64)": 2, + "A3(3)": 8, + "Alt(10)": 2, + "A2(9)": 3, + "Alt(11)": 4 + } }, { "name": "G^{18,48,54}_2", @@ -13127,38 +12087,18 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "B_{2}(3)": 2 - }, - { - "Alt(9)": 2 - }, - { - "Alt(10)": 1 - }, - { - "{}^2A_{3}(9)": 3 - }, - { - "{}^2A_{2}(64)": 2 - }, - { - "A_{3}(3)": 1 - }, - { - "{}^2A_{4}(4)": 3 - }, - { - "Alt(11)": 1 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "Alt(9)": 2, + "{}^2A_{2}(64)": 2, + "A_{3}(3)": 1, + "B_{2}(3)": 2, + "Alt(10)": 1, + "{}^2A_{3}(9)": 3, + "Alt(11)": 1, + "A_{2}(9)": 3, + "A_{2}(3)": 2, + "{}^2A_{4}(4)": 3 + }, "alternating_quotients": [ 3, 4, @@ -13184,38 +12124,30 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "B₂(3)": 2 - }, - { - "Alt(9)": 2 - }, - { - "Alt(10)": 1 - }, - { - "²A₃(9)": 3 - }, - { - "²A₂(64)": 2 - }, - { - "A₃(3)": 1 - }, - { - "²A₄(4)": 3 - }, - { - "Alt(11)": 1 - }, - { - "A₂(9)": 3 - } - ] + "quotients_utf8": { + "²A₄(4)": 3, + "Alt(9)": 2, + "²A₃(9)": 3, + "Alt(10)": 1, + "A₃(3)": 1, + "²A₂(64)": 2, + "Alt(11)": 1, + "A₂(9)": 3, + "A₂(3)": 2, + "B₂(3)": 2 + }, + "quotients_plain": { + "Alt(9)": 2, + "B2(3)": 2, + "A2(3)": 2, + "2A2(64)": 2, + "A3(3)": 1, + "Alt(10)": 1, + "A2(9)": 3, + "Alt(11)": 1, + "2A3(9)": 3, + "2A4(4)": 3 + } }, { "name": "G^{18,54,54}_0", @@ -13252,20 +12184,12 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "Alt(9)": 2 - }, - { - "{}^2A_{4}(4)": 2 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "Alt(9)": 2, + "A_{2}(9)": 3, + "A_{2}(3)": 2, + "{}^2A_{4}(4)": 2 + }, "alternating_quotients": [ 3, 9, @@ -13283,20 +12207,18 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "Alt(9)": 2 - }, - { - "²A₄(4)": 2 - }, - { - "A₂(9)": 3 - } - ] + "quotients_utf8": { + "²A₄(4)": 2, + "Alt(9)": 2, + "A₂(9)": 3, + "A₂(3)": 2 + }, + "quotients_plain": { + "Alt(9)": 2, + "A2(9)": 3, + "A2(3)": 2, + "2A4(4)": 2 + } }, { "name": "G^{18,54,54}_2", @@ -13333,29 +12255,15 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "B_{2}(3)": 2 - }, - { - "Alt(9)": 10 - }, - { - "{}^2A_{3}(9)": 3 - }, - { - "A_{3}(3)": 1 - }, - { - "{}^2A_{4}(4)": 9 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "Alt(9)": 10, + "A_{3}(3)": 1, + "B_{2}(3)": 2, + "{}^2A_{3}(9)": 3, + "A_{2}(9)": 3, + "A_{2}(3)": 2, + "{}^2A_{4}(4)": 9 + }, "alternating_quotients": [ 3, 9, @@ -13375,29 +12283,24 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "B₂(3)": 2 - }, - { - "Alt(9)": 10 - }, - { - "²A₃(9)": 3 - }, - { - "A₃(3)": 1 - }, - { - "²A₄(4)": 9 - }, - { - "A₂(9)": 3 - } - ] + "quotients_utf8": { + "²A₄(4)": 9, + "Alt(9)": 10, + "²A₃(9)": 3, + "A₃(3)": 1, + "A₂(9)": 3, + "A₂(3)": 2, + "B₂(3)": 2 + }, + "quotients_plain": { + "Alt(9)": 10, + "B2(3)": 2, + "A2(3)": 2, + "A3(3)": 1, + "A2(9)": 3, + "2A3(9)": 3, + "2A4(4)": 9 + } }, { "name": "G^{18,54,54}_8", @@ -13434,26 +12337,14 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "B_{2}(3)": 2 - }, - { - "Alt(9)": 8 - }, - { - "A_{3}(3)": 10 - }, - { - "{}^2A_{4}(4)": 4 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "Alt(9)": 8, + "A_{3}(3)": 10, + "B_{2}(3)": 2, + "A_{2}(9)": 3, + "A_{2}(3)": 2, + "{}^2A_{4}(4)": 4 + }, "alternating_quotients": [ 3, 9, @@ -13473,26 +12364,22 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "B₂(3)": 2 - }, - { - "Alt(9)": 8 - }, - { - "A₃(3)": 10 - }, - { - "²A₄(4)": 4 - }, - { - "A₂(9)": 3 - } - ] + "quotients_utf8": { + "²A₄(4)": 4, + "Alt(9)": 8, + "A₃(3)": 10, + "A₂(9)": 3, + "A₂(3)": 2, + "B₂(3)": 2 + }, + "quotients_plain": { + "Alt(9)": 8, + "B2(3)": 2, + "A2(3)": 2, + "A3(3)": 10, + "A2(9)": 3, + "2A4(4)": 4 + } }, { "name": "G^{24,40,40}_0", @@ -13531,41 +12418,19 @@ "L2_quotients": [ "L_2(inf^4)" ], - "quotients": [ - { - "Alt(7)": 2 - }, - { - "B_{2}(3)": 2 - }, - { - "M_{22}": 2 - }, - { - "J_{2}": 2 - }, - { - "C_{2}(4)": 2 - }, - { - "C_{3}(2)": 2 - }, - { - "Alt(10)": 2 - }, - { - "B_{2}(5)": 10 - }, - { - "A_{4}(2)": 4 - }, - { - "{}^2A_{4}(4)": 4 - }, - { - "Alt(11)": 3 - } - ], + "quotients": { + "Alt(10)": 2, + "C_{3}(2)": 2, + "J_{2}": 2, + "B_{2}(5)": 10, + "Alt(7)": 2, + "A_{4}(2)": 4, + "B_{2}(3)": 2, + "C_{2}(4)": 2, + "Alt(11)": 3, + "M_{22}": 2, + "{}^2A_{4}(4)": 4 + }, "alternating_quotients": [ 5, 6, @@ -13592,41 +12457,32 @@ "L2_quotients_utf8": [ "L₂(inf⁴)" ], - "quotients_utf8": [ - { - "Alt(7)": 2 - }, - { - "B₂(3)": 2 - }, - { - "M₂₂": 2 - }, - { - "J₂": 2 - }, - { - "C₂(4)": 2 - }, - { - "C₃(2)": 2 - }, - { - "Alt(10)": 2 - }, - { - "B₂(5)": 10 - }, - { - "A₄(2)": 4 - }, - { - "²A₄(4)": 4 - }, - { - "Alt(11)": 3 - } - ] + "quotients_utf8": { + "C₂(4)": 2, + "²A₄(4)": 4, + "Alt(10)": 2, + "B₂(5)": 10, + "Alt(7)": 2, + "B₂(3)": 2, + "C₃(2)": 2, + "M₂₂": 2, + "A₄(2)": 4, + "Alt(11)": 3, + "J₂": 2 + }, + "quotients_plain": { + "B2(5)": 10, + "C2(4)": 2, + "Alt(10)": 2, + "A4(2)": 4, + "C3(2)": 2, + "Alt(7)": 2, + "J2": 2, + "B2(3)": 2, + "Alt(11)": 3, + "M22": 2, + "2A4(4)": 4 + } }, { "name": "G^{24,40,48}_0", @@ -13665,41 +12521,19 @@ "L_2(3^2)", "L_2(3^2)" ], - "quotients": [ - { - "Alt(7)": 2 - }, - { - "B_{2}(3)": 3 - }, - { - "M_{22}": 2 - }, - { - "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 - }, - { - "Alt(11)": 4 - } - ], + "quotients": { + "C_{3}(2)": 3, + "J_{2}": 4, + "B_{2}(5)": 12, + "Alt(7)": 2, + "A_{3}(3)": 2, + "A_{4}(2)": 5, + "B_{2}(3)": 3, + "C_{2}(4)": 4, + "Alt(11)": 4, + "M_{22}": 2, + "{}^2A_{4}(4)": 1 + }, "alternating_quotients": [ 3, 5, @@ -13729,41 +12563,32 @@ "L₂(3²)", "L₂(3²)" ], - "quotients_utf8": [ - { - "Alt(7)": 2 - }, - { - "B₂(3)": 3 - }, - { - "M₂₂": 2 - }, - { - "J₂": 4 - }, - { - "C₂(4)": 4 - }, - { - "C₃(2)": 3 - }, - { - "B₂(5)": 12 - }, - { - "A₃(3)": 2 - }, - { - "A₄(2)": 5 - }, - { - "²A₄(4)": 1 - }, - { - "Alt(11)": 4 - } - ] + "quotients_utf8": { + "C₂(4)": 4, + "²A₄(4)": 1, + "B₂(5)": 12, + "Alt(7)": 2, + "B₂(3)": 3, + "C₃(2)": 3, + "M₂₂": 2, + "A₃(3)": 2, + "A₄(2)": 5, + "Alt(11)": 4, + "J₂": 4 + }, + "quotients_plain": { + "A3(3)": 2, + "B2(5)": 12, + "C2(4)": 4, + "A4(2)": 5, + "C3(2)": 3, + "Alt(7)": 2, + "J2": 4, + "B2(3)": 3, + "Alt(11)": 4, + "M22": 2, + "2A4(4)": 1 + } }, { "name": "G^{24,40,54}_0", @@ -13802,29 +12627,15 @@ "L2_quotients": [ "L_2(3^2)" ], - "quotients": [ - { - "B_{2}(3)": 4 - }, - { - "M_{12}": 6 - }, - { - "Alt(10)": 12 - }, - { - "{}^2A_{3}(9)": 2 - }, - { - "A_{3}(3)": 3 - }, - { - "{}^2A_{4}(4)": 4 - }, - { - "Alt(11)": 12 - } - ], + "quotients": { + "A_{3}(3)": 3, + "B_{2}(3)": 4, + "M_{12}": 6, + "Alt(10)": 12, + "{}^2A_{3}(9)": 2, + "Alt(11)": 12, + "{}^2A_{4}(4)": 4 + }, "alternating_quotients": [ 3, 5, @@ -13852,29 +12663,24 @@ "L2_quotients_utf8": [ "L₂(3²)" ], - "quotients_utf8": [ - { - "B₂(3)": 4 - }, - { - "M₁₂": 6 - }, - { - "Alt(10)": 12 - }, - { - "²A₃(9)": 2 - }, - { - "A₃(3)": 3 - }, - { - "²A₄(4)": 4 - }, - { - "Alt(11)": 12 - } - ] + "quotients_utf8": { + "²A₄(4)": 4, + "²A₃(9)": 2, + "M₁₂": 6, + "Alt(10)": 12, + "A₃(3)": 3, + "Alt(11)": 12, + "B₂(3)": 4 + }, + "quotients_plain": { + "M12": 6, + "B2(3)": 4, + "A3(3)": 3, + "Alt(10)": 12, + "Alt(11)": 12, + "2A3(9)": 2, + "2A4(4)": 4 + } }, { "name": "G^{24,40,54}_2", @@ -13913,35 +12719,17 @@ "L2_quotients": [ "L_2(3^2)" ], - "quotients": [ - { - "B_{2}(3)": 2 - }, - { - "M_{12}": 6 - }, - { - "Alt(9)": 2 - }, - { - "C_{3}(2)": 4 - }, - { - "Alt(10)": 7 - }, - { - "{}^2A_{3}(9)": 6 - }, - { - "A_{3}(3)": 7 - }, - { - "{}^2A_{4}(4)": 1 - }, - { - "Alt(11)": 6 - } - ], + "quotients": { + "Alt(9)": 2, + "A_{3}(3)": 7, + "B_{2}(3)": 2, + "M_{12}": 6, + "C_{3}(2)": 4, + "Alt(10)": 7, + "{}^2A_{3}(9)": 6, + "Alt(11)": 6, + "{}^2A_{4}(4)": 1 + }, "alternating_quotients": [ 3, 5, @@ -13972,35 +12760,28 @@ "L2_quotients_utf8": [ "L₂(3²)" ], - 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}, - { - "A_{4}(2)": 2 - }, - { - "{}^2A_{4}(4)": 13 - }, - { - "Alt(11)": 1 - }, - { - "HS": 2 - } - ], + "quotients": { + "HS": 2, + "Alt(10)": 1, + "M_{12}": 1, + "Alt(8) or A_{2}(4)": 4, + "J_{2}": 2, + "C_{3}(2)": 11, + "Alt(7)": 3, + "B_{2}(5)": 7, + "A_{3}(3)": 1, + "A_{4}(2)": 2, + "B_{2}(3)": 3, + "{}^2A_{2}(25)": 2, + "{}^2A_{3}(9)": 3, + "Alt(11)": 1, + "A_{2}(7)": 1, + "{}^2A_{4}(4)": 13 + }, "alternating_quotients": [ 3, 4, @@ -14114,56 +12863,42 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(7)": 3 - }, - { - "Alt(8) or A₂(4)": 4 - }, - { - "B₂(3)": 3 - }, - { - "M₁₂": 1 - }, - { - "²A₂(25)": 2 - }, - { - "J₂": 2 - }, - { - "C₃(2)": 11 - }, - { - "Alt(10)": 1 - }, - { - "A₂(7)": 1 - }, - { - "²A₃(9)": 3 - }, - { - "B₂(5)": 7 - }, - { - "A₃(3)": 1 - }, - { - "A₄(2)": 2 - }, - { - "²A₄(4)": 13 - }, - { - "Alt(11)": 1 - }, - { - "HS": 2 - } - ] + "quotients_utf8": { + "²A₄(4)": 13, + "²A₂(25)": 2, + "²A₃(9)": 3, + "HS": 2, + "M₁₂": 1, + "Alt(10)": 1, + "B₂(5)": 7, + "Alt(7)": 3, + "B₂(3)": 3, + "A₂(7)": 1, + "C₃(2)": 11, + "Alt(8) or A₂(4)": 4, + "A₃(3)": 1, + "A₄(2)": 2, + "Alt(11)": 1, + "J₂": 2 + }, + "quotients_plain": { + "2A2(25)": 2, + "A3(3)": 1, + "HS": 2, + "B2(5)": 7, + "Alt(10)": 1, + "A4(2)": 2, + "C3(2)": 11, + "Alt(7)": 3, + "J2": 2, + "Alt(8) or A2(4)": 4, + "M12": 1, + "B2(3)": 3, + "A2(7)": 1, + "Alt(11)": 1, + "2A3(9)": 3, + "2A4(4)": 13 + } }, { "name": "G^{24,48,48}_1", @@ -14198,38 +12933,18 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "B_{2}(3)": 4 - }, - { - "Alt(9)": 1 - }, - { - "M_{22}": 1 - }, - { - "C_{3}(2)": 17 - }, - { - "{}^2A_{3}(9)": 8 - }, - { - "B_{2}(5)": 5 - }, - { - "A_{3}(3)": 3 - }, - { - "{}^2A_{4}(4)": 8 - }, - { - "Alt(11)": 1 - }, - { - "HS": 1 - } - ], + "quotients": { + "Alt(9)": 1, + "HS": 1, + "A_{3}(3)": 3, + "B_{2}(3)": 4, + "{}^2A_{3}(9)": 8, + "C_{3}(2)": 17, + "B_{2}(5)": 5, + "Alt(11)": 1, + "M_{22}": 1, + "{}^2A_{4}(4)": 8 + }, "alternating_quotients": [ 3, 4, @@ -14258,38 +12973,30 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "B₂(3)": 4 - }, - { - "Alt(9)": 1 - }, - { - "M₂₂": 1 - }, - { - "C₃(2)": 17 - }, - { - "²A₃(9)": 8 - }, - { - "B₂(5)": 5 - }, - { - "A₃(3)": 3 - }, - { - "²A₄(4)": 8 - }, - { - "Alt(11)": 1 - }, - { - "HS": 1 - } - ] + "quotients_utf8": { + "²A₄(4)": 8, + "C₃(2)": 17, + "Alt(9)": 1, + "²A₃(9)": 8, + "HS": 1, + "B₂(5)": 5, + "M₂₂": 1, + "A₃(3)": 3, + "Alt(11)": 1, + "B₂(3)": 4 + }, + "quotients_plain": { + "Alt(9)": 1, + "B2(3)": 4, + "A3(3)": 3, + "HS": 1, + "B2(5)": 5, + "Alt(11)": 1, + "C3(2)": 17, + "2A3(9)": 8, + "M22": 1, + "2A4(4)": 8 + } }, { "name": "G^{24,48,54}_0", @@ -14325,29 +13032,15 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "B_{2}(3)": 4 - }, - { - "Alt(9)": 3 - }, - { - "Alt(10)": 5 - }, - { - "{}^2A_{3}(9)": 1 - }, - { - "A_{3}(3)": 2 - }, - { - "{}^2A_{4}(4)": 3 - }, - { - "Alt(11)": 4 - } - ], + "quotients": { + "Alt(9)": 3, + "A_{3}(3)": 2, + "B_{2}(3)": 4, + "Alt(10)": 5, + "{}^2A_{3}(9)": 1, + "Alt(11)": 4, + "{}^2A_{4}(4)": 3 + }, "alternating_quotients": [ 3, 4, @@ -14376,29 +13069,24 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "B₂(3)": 4 - }, - { - "Alt(9)": 3 - }, - { - "Alt(10)": 5 - }, - { - "²A₃(9)": 1 - }, - { - "A₃(3)": 2 - }, - { - "²A₄(4)": 3 - }, - { - "Alt(11)": 4 - } - ] + "quotients_utf8": { + "²A₄(4)": 3, + "Alt(9)": 3, + "²A₃(9)": 1, + "Alt(10)": 5, + "A₃(3)": 2, + "Alt(11)": 4, + "B₂(3)": 4 + }, + "quotients_plain": { + "Alt(9)": 3, + "B2(3)": 4, + "A3(3)": 2, + "Alt(10)": 5, + "Alt(11)": 4, + "2A3(9)": 1, + "2A4(4)": 3 + } }, { "name": "G^{24,48,54}_2", @@ -14434,32 +13122,16 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "B_{2}(3)": 2 - }, - { - "Alt(9)": 3 - }, - { - "C_{3}(2)": 3 - }, - { - "Alt(10)": 5 - }, - { - "{}^2A_{3}(9)": 5 - }, - { - "A_{3}(3)": 10 - }, - { - "{}^2A_{4}(4)": 12 - }, - { - "Alt(11)": 2 - } - ], + "quotients": { + "Alt(9)": 3, + "A_{3}(3)": 10, + "B_{2}(3)": 2, + "Alt(10)": 5, + "C_{3}(2)": 3, + "{}^2A_{3}(9)": 5, + "Alt(11)": 2, + "{}^2A_{4}(4)": 12 + }, "alternating_quotients": [ 3, 4, @@ -14487,32 +13159,26 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "B₂(3)": 2 - }, - { - "Alt(9)": 3 - }, - { - "C₃(2)": 3 - }, - { - "Alt(10)": 5 - }, - { - "²A₃(9)": 5 - }, - { - "A₃(3)": 10 - }, - { - "²A₄(4)": 12 - }, - { - "Alt(11)": 2 - } - ] + "quotients_utf8": { + "²A₄(4)": 12, + "C₃(2)": 3, + "Alt(9)": 3, + "²A₃(9)": 5, + "Alt(10)": 5, + "A₃(3)": 10, + "Alt(11)": 2, + "B₂(3)": 2 + }, + "quotients_plain": { + "Alt(9)": 3, + "B2(3)": 2, + "A3(3)": 10, + "Alt(10)": 5, + "Alt(11)": 2, + "C3(2)": 3, + "2A3(9)": 5, + "2A4(4)": 12 + } }, { "name": "G^{24,54,54}_0", @@ -14549,23 +13215,13 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "Alt(9)": 6 - }, - { - "Alt(10)": 2 - }, - { - "A_{3}(3)": 4 - }, - { - "{}^2A_{4}(4)": 8 - }, - { - "Alt(11)": 2 - } - ], + "quotients": { + "Alt(9)": 6, + "A_{3}(3)": 4, + "Alt(10)": 2, + "Alt(11)": 2, + "{}^2A_{4}(4)": 8 + }, "alternating_quotients": [ 3, 4, @@ -14590,23 +13246,20 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(9)": 6 - }, - { - "Alt(10)": 2 - }, - { - "A₃(3)": 4 - }, - { - "²A₄(4)": 8 - }, - { - "Alt(11)": 2 - } - ] + "quotients_utf8": { + "²A₄(4)": 8, + "Alt(9)": 6, + "Alt(10)": 2, + "A₃(3)": 4, + "Alt(11)": 2 + }, + "quotients_plain": { + "Alt(9)": 6, + "A3(3)": 4, + "Alt(10)": 2, + "Alt(11)": 2, + "2A4(4)": 8 + } }, { "name": "G^{24,54,54}_2", @@ -14643,32 +13296,16 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "B_{2}(3)": 2 - }, - { - "Alt(9)": 9 - }, - { - "C_{3}(2)": 6 - }, - { - "Alt(10)": 22 - }, - { - "{}^2A_{3}(9)": 8 - }, - { - "A_{3}(3)": 26 - }, - { - "{}^2A_{4}(4)": 12 - }, - { - "Alt(11)": 12 - } - ], + "quotients": { + "Alt(9)": 9, + "A_{3}(3)": 26, + "B_{2}(3)": 2, + "Alt(10)": 22, + "C_{3}(2)": 6, + "{}^2A_{3}(9)": 8, + "Alt(11)": 12, + "{}^2A_{4}(4)": 12 + }, "alternating_quotients": [ 3, 4, @@ -14697,32 +13334,26 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "B₂(3)": 2 - }, - { - "Alt(9)": 9 - }, - { - "C₃(2)": 6 - }, - { - "Alt(10)": 22 - }, - { - "²A₃(9)": 8 - }, - { - "A₃(3)": 26 - }, - { - "²A₄(4)": 12 - }, - { - "Alt(11)": 12 - } - ] + "quotients_utf8": { + "²A₄(4)": 12, + "C₃(2)": 6, + "Alt(9)": 9, + "²A₃(9)": 8, + "Alt(10)": 22, + "A₃(3)": 26, + "Alt(11)": 12, + "B₂(3)": 2 + }, + "quotients_plain": { + "Alt(9)": 9, + "B2(3)": 2, + "A3(3)": 26, + "Alt(10)": 22, + "Alt(11)": 12, + "C3(2)": 6, + "2A3(9)": 8, + "2A4(4)": 12 + } }, { "name": "G^{24,54,54}_8", @@ -14759,23 +13390,13 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "B_{2}(3)": 4 - }, - { - "Alt(9)": 14 - }, - { - "Alt(10)": 1 - }, - { - "{}^2A_{4}(4)": 9 - }, - { - "Alt(11)": 1 - } - ], + "quotients": { + "Alt(9)": 14, + "B_{2}(3)": 4, + "Alt(10)": 1, + "Alt(11)": 1, + "{}^2A_{4}(4)": 9 + }, "alternating_quotients": [ 3, 4, @@ -14800,23 +13421,20 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "B₂(3)": 4 - }, - { - "Alt(9)": 14 - }, - { - "Alt(10)": 1 - }, - { - "²A₄(4)": 9 - }, - { - "Alt(11)": 1 - } - ] + "quotients_utf8": { + "²A₄(4)": 9, + "Alt(9)": 14, + "Alt(10)": 1, + "Alt(11)": 1, + "B₂(3)": 4 + }, + "quotients_plain": { + "Alt(9)": 14, + "B2(3)": 4, + "Alt(10)": 1, + "Alt(11)": 1, + "2A4(4)": 9 + } }, { "name": "G^{26,40,40}_0", @@ -14855,11 +13473,9 @@ "L2_quotients": [ "L_2(13^2)" ], - "quotients": [ - { - "A_{3}(3)": 3 - } - ], + "quotients": { + "A_{3}(3)": 3 + }, "alternating_quotients": [ 5, 20, @@ -14871,11 +13487,12 @@ "L2_quotients_utf8": [ "L₂(13²)" ], - "quotients_utf8": [ - { - "A₃(3)": 3 - } - ] + "quotients_utf8": { + "A₃(3)": 3 + }, + "quotients_plain": { + "A3(3)": 3 + } }, { "name": "G^{26,40,48}_0", @@ -14913,21 +13530,20 @@ "L2_quotients": [ "L_2(13^2)" ], - "quotients": [ - { - "{}^2F_4(2)'": 1 - } - ], + "quotients": { + "{}^2F_4(2)'": 1 + }, "alternating_quotients": [], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [ "L₂(13²)" ], - "quotients_utf8": [ - { - "²F₄(2)'": 1 - } - ] + "quotients_utf8": { + "²F₄(2)'": 1 + }, + "quotients_plain": { + "2F_4(2)'": 1 + } }, { "name": "G^{26,40,54}_0", @@ -14964,21 +13580,20 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [ - { - "A_{3}(3)": 3 - } - ], + "quotients": { + "A_{3}(3)": 3 + }, "alternating_quotients": [ 30 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₃(3)": 3 - } - ] + "quotients_utf8": { + "A₃(3)": 3 + }, + "quotients_plain": { + "A3(3)": 3 + } }, { "name": "G^{26,40,54}_2", @@ -15015,13 +13630,14 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [], + "quotients": {}, "alternating_quotients": [ 15 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [] + "quotients_utf8": {}, + "quotients_plain": {} }, { "name": "G^{26,48,48}_0", @@ -15056,11 +13672,9 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "G_{2}(3)": 1 - } - ], + "quotients": { + "G_{2}(3)": 1 + }, "alternating_quotients": [ 3, 4, @@ -15069,11 +13683,12 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "G₂(3)": 1 - } - ] + "quotients_utf8": { + "G₂(3)": 1 + }, + "quotients_plain": { + "G2(3)": 1 + } }, { "name": "G^{26,48,48}_1", @@ -15110,14 +13725,10 @@ "L2_quotients": [ "L_2(13)" ], - "quotients": [ - { - "G_{2}(3)": 4 - }, - { - "A_{3}(3)": 1 - } - ], + "quotients": { + "A_{3}(3)": 1, + "G_{2}(3)": 4 + }, "alternating_quotients": [ 3, 13, @@ -15134,14 +13745,14 @@ "L2_quotients_utf8": [ "L₂(13)" ], - "quotients_utf8": [ - { - "G₂(3)": 4 - }, - { - "A₃(3)": 1 - } - ] + "quotients_utf8": { + "A₃(3)": 1, + "G₂(3)": 4 + }, + "quotients_plain": { + "A3(3)": 1, + "G2(3)": 4 + } }, { "name": "G^{26,48,54}_0", @@ -15177,11 +13788,9 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "G_{2}(3)": 1 - } - ], + "quotients": { + "G_{2}(3)": 1 + }, "alternating_quotients": [ 3, 13, @@ -15191,11 +13800,12 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "G₂(3)": 1 - } - ] + "quotients_utf8": { + "G₂(3)": 1 + }, + "quotients_plain": { + "G2(3)": 1 + } }, { "name": "G^{26,48,54}_2", @@ -15231,14 +13841,10 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "G_{2}(3)": 1 - }, - { - "A_{3}(3)": 1 - } - ], + "quotients": { + "A_{3}(3)": 1, + "G_{2}(3)": 1 + }, "alternating_quotients": [ 3, 13, @@ -15249,14 +13855,14 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "G₂(3)": 1 - }, - { - "A₃(3)": 1 - } - ] + "quotients_utf8": { + "A₃(3)": 1, + "G₂(3)": 1 + }, + "quotients_plain": { + "A3(3)": 1, + "G2(3)": 1 + } }, { "name": "G^{26,54,54}_0", @@ -15293,14 +13899,10 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "A_{2}(9)": 3, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3, 13, @@ -15310,14 +13912,14 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "A₂(9)": 3 - } - ] + "quotients_utf8": { + "A₂(9)": 3, + "A₂(3)": 2 + }, + "quotients_plain": { + "A2(9)": 3, + "A2(3)": 2 + } }, { "name": "G^{26,54,54}_2", @@ -15354,17 +13956,11 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "A_{3}(3)": 20 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "A_{3}(3)": 20, + "A_{2}(9)": 3, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3, 13, @@ -15380,17 +13976,16 @@ ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "A₃(3)": 20 - }, - { - "A₂(9)": 3 - } - ] + "quotients_utf8": { + "A₃(3)": 20, + "A₂(9)": 3, + "A₂(3)": 2 + }, + "quotients_plain": { + "A2(9)": 3, + "A2(3)": 2, + "A3(3)": 20 + } }, { "name": "G^{26,54,54}_8", @@ -15427,34 +14022,27 @@ "Kazdhdan_property_T": null, "abelianization_dimension": 2, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "A_{3}(3)": 6 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "A_{3}(3)": 6, + "A_{2}(9)": 3, + "A_{2}(3)": 2 + }, "alternating_quotients": [ 3, 13 ], "maximal_degree_alternating_quotients": 30, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "A₃(3)": 6 - }, - { - "A₂(9)": 3 - } - ] + "quotients_utf8": { + "A₃(3)": 6, + "A₂(9)": 3, + "A₂(3)": 2 + }, + "quotients_plain": { + "A2(9)": 3, + "A2(3)": 2, + "A3(3)": 6 + } }, { "name": "G^{40,40,40}_0", @@ -15496,47 +14084,21 @@ "L_2(inf^4)", "L_2(inf^4)" ], - "quotients": [ - { - "Alt(7)": 1 - }, - { - "B_{2}(3)": 18 - }, - { - "M_{12}": 7 - }, - { - "{}^2A_{2}(25)": 2 - }, - { - "J_{1}": 4 - }, - { - "A_{2}(5)": 2 - }, - { - "J_{2}": 8 - }, - { - "C_{2}(4)": 21 - }, - { - "Alt(10)": 15 - }, - { - "{}^2A_{3}(9)": 12 - }, - { - "B_{2}(5)": 90 - }, - { - "A_{3}(3)": 7 - }, - { - "HS": 12 - } - ], + "quotients": { + "HS": 12, + "J_{1}": 4, + "Alt(10)": 15, + "M_{12}": 7, + "J_{2}": 8, + "B_{2}(5)": 90, + "Alt(7)": 1, + "A_{3}(3)": 7, + "B_{2}(3)": 18, + "{}^2A_{2}(25)": 2, + "{}^2A_{3}(9)": 12, + "C_{2}(4)": 21, + "A_{2}(5)": 2 + }, "alternating_quotients": [ 6, 7, @@ -15575,47 +14137,36 @@ "L₂(inf⁴)", "L₂(inf⁴)" ], - "quotients_utf8": [ - { - "Alt(7)": 1 - }, - { - "B₂(3)": 18 - }, - { - "M₁₂": 7 - }, - { - "²A₂(25)": 2 - }, - { - "J₁": 4 - }, - { - "A₂(5)": 2 - }, - { - "J₂": 8 - }, - { - "C₂(4)": 21 - }, - { - "Alt(10)": 15 - }, - { - "²A₃(9)": 12 - }, - { - "B₂(5)": 90 - }, - { - "A₃(3)": 7 - }, - { - "HS": 12 - } - ] + "quotients_utf8": { + "C₂(4)": 21, + "²A₂(25)": 2, + "J₁": 4, + "²A₃(9)": 12, + "HS": 12, + "M₁₂": 7, + "Alt(10)": 15, + "B₂(5)": 90, + "Alt(7)": 1, + "A₂(5)": 2, + "B₂(3)": 18, + "A₃(3)": 7, + "J₂": 8 + }, + "quotients_plain": { + "2A2(25)": 2, + "A3(3)": 7, + "HS": 12, + "B2(5)": 90, + "C2(4)": 21, + "Alt(10)": 15, + "Alt(7)": 1, + "J2": 8, + "J1": 4, + "M12": 7, + "B2(3)": 18, + "A2(5)": 2, + "2A3(9)": 12 + } }, { "name": "G^{40,40,48}_0", @@ -15653,53 +14204,23 @@ "L2_quotients": [ "L_2(inf^4)" ], - "quotients": [ - { - "Alt(7)": 2 - }, - { - "M_{11}": 4 - }, - { - "B_{2}(3)": 8 - }, - { - "{}^2A_{2}(25)": 1 - }, - { - "M_{22}": 2 - }, - { - "J_{2}": 4 - }, - { - "C_{2}(4)": 2 - }, - { - "C_{3}(2)": 2 - }, - { - "Alt(10)": 4 - }, - { - "{}^2A_{3}(9)": 4 - }, - { - "B_{2}(5)": 16 - }, - { - "A_{3}(3)": 2 - }, - { - "A_{4}(2)": 4 - }, - { - "{}^2A_{4}(4)": 10 - }, - { - "Alt(11)": 7 - } - ], + "quotients": { + "Alt(10)": 4, + "C_{3}(2)": 2, + "J_{2}": 4, + "B_{2}(5)": 16, + "Alt(7)": 2, + "M_{11}": 4, + "A_{3}(3)": 2, + "A_{4}(2)": 4, + "B_{2}(3)": 8, + "{}^2A_{2}(25)": 1, + "{}^2A_{3}(9)": 4, + "C_{2}(4)": 2, + "Alt(11)": 7, + "M_{22}": 2, + "{}^2A_{4}(4)": 10 + }, "alternating_quotients": [ 5, 6, @@ -15737,53 +14258,40 @@ "L2_quotients_utf8": [ "L₂(inf⁴)" ], - "quotients_utf8": [ - { - "Alt(7)": 2 - }, - { - "M₁₁": 4 - }, - { - "B₂(3)": 8 - }, - { - "²A₂(25)": 1 - }, - { - "M₂₂": 2 - }, - { - "J₂": 4 - }, - { - "C₂(4)": 2 - }, - { - "C₃(2)": 2 - }, - { - "Alt(10)": 4 - }, - { - "²A₃(9)": 4 - }, - { - "B₂(5)": 16 - }, - { - "A₃(3)": 2 - }, - { - "A₄(2)": 4 - }, - { - "²A₄(4)": 10 - }, - { - "Alt(11)": 7 - } - ] + "quotients_utf8": { + "C₂(4)": 2, + "²A₂(25)": 1, + "²A₄(4)": 10, + "²A₃(9)": 4, + "Alt(10)": 4, + "B₂(5)": 16, + "Alt(7)": 2, + "B₂(3)": 8, + "C₃(2)": 2, + "M₂₂": 2, + "A₃(3)": 2, + "A₄(2)": 4, + "Alt(11)": 7, + "J₂": 4, + "M₁₁": 4 + }, + "quotients_plain": { + "2A2(25)": 1, + "A3(3)": 2, + "B2(5)": 16, + "C2(4)": 2, + "M11": 4, + "Alt(10)": 4, + "A4(2)": 4, + "C3(2)": 2, + "Alt(7)": 2, + "J2": 4, + "B2(3)": 8, + "Alt(11)": 7, + "2A3(9)": 4, + "M22": 2, + "2A4(4)": 10 + } }, { "name": "G^{40,40,54}_0", @@ -15820,29 +14328,15 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 0, "L2_quotients": [], - "quotients": [ - { - "Alt(7)": 2 - }, - { - "B_{2}(3)": 5 - }, - { - "M_{12}": 2 - }, - { - "Alt(10)": 8 - }, - { - "{}^2A_{3}(9)": 15 - }, - { - "A_{3}(3)": 4 - }, - { - "{}^2A_{4}(4)": 7 - } - ], + "quotients": { + "A_{3}(3)": 4, + "B_{2}(3)": 5, + "M_{12}": 2, + "Alt(10)": 8, + "{}^2A_{3}(9)": 15, + "Alt(7)": 2, + "{}^2A_{4}(4)": 7 + }, "alternating_quotients": [ 5, 7, @@ -15875,29 +14369,24 @@ ], "maximal_degree_alternating_quotients": 40, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(7)": 2 - }, - { - "B₂(3)": 5 - }, - { - "M₁₂": 2 - }, - { - "Alt(10)": 8 - }, - { - "²A₃(9)": 15 - }, - { - "A₃(3)": 4 - }, - { - "²A₄(4)": 7 - } - ] + "quotients_utf8": { + "²A₄(4)": 7, + "²A₃(9)": 15, + "M₁₂": 2, + "Alt(10)": 8, + "A₃(3)": 4, + "Alt(7)": 2, + "B₂(3)": 5 + }, + "quotients_plain": { + "M12": 2, + "B2(3)": 5, + "A3(3)": 4, + "Alt(10)": 8, + "Alt(7)": 2, + "2A3(9)": 15, + "2A4(4)": 7 + } }, { "name": "G^{40,48,48}_0", @@ -15935,47 +14424,21 @@ "L_2(3^2)", "L_2(3^2)" ], - "quotients": [ - { - "Alt(7)": 2 - }, - { - "M_{11}": 1 - }, - { - "B_{2}(3)": 18 - }, - { - "M_{22}": 2 - }, - { - "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 - }, - { - "Alt(11)": 9 - } - ], + "quotients": { + "C_{3}(2)": 6, + "J_{2}": 6, + "B_{2}(5)": 20, + "Alt(7)": 2, + "M_{11}": 1, + "A_{3}(3)": 15, + "A_{4}(2)": 8, + "B_{2}(3)": 18, + "{}^2A_{3}(9)": 10, + "C_{2}(4)": 4, + "Alt(11)": 9, + "M_{22}": 2, + "{}^2A_{4}(4)": 15 + }, "alternating_quotients": [ 3, 5, @@ -16016,47 +14479,36 @@ "L₂(3²)", "L₂(3²)" ], - "quotients_utf8": [ - { - "Alt(7)": 2 - }, - { - "M₁₁": 1 - }, - { - "B₂(3)": 18 - }, - { - "M₂₂": 2 - }, - { - "J₂": 6 - }, - { - "C₂(4)": 4 - }, - { - "C₃(2)": 6 - }, - { - "²A₃(9)": 10 - }, - { - "B₂(5)": 20 - }, - { - "A₃(3)": 15 - }, - { - "A₄(2)": 8 - }, - { - "²A₄(4)": 15 - }, - { - "Alt(11)": 9 - } - ] + "quotients_utf8": { + "C₂(4)": 4, + "²A₄(4)": 15, + "²A₃(9)": 10, + "B₂(5)": 20, + "Alt(7)": 2, + "B₂(3)": 18, + "C₃(2)": 6, + "M₂₂": 2, + "A₃(3)": 15, + "A₄(2)": 8, + "Alt(11)": 9, + "J₂": 6, + "M₁₁": 1 + }, + "quotients_plain": { + "A3(3)": 15, + "B2(5)": 20, + "C2(4)": 4, + "M11": 1, + "A4(2)": 8, + "C3(2)": 6, + "Alt(7)": 2, + "J2": 6, + "B2(3)": 18, + "Alt(11)": 9, + "2A3(9)": 10, + "M22": 2, + "2A4(4)": 15 + } }, { "name": "G^{40,48,54}_0", @@ -16094,35 +14546,17 @@ "L2_quotients": [ "L_2(3^2)" ], - "quotients": [ - { - "B_{2}(3)": 11 - }, - { - "M_{12}": 7 - }, - { - "Alt(9)": 2 - }, - { - "C_{3}(2)": 4 - }, - { - "Alt(10)": 7 - }, - { - "{}^2A_{3}(9)": 14 - }, - { - "A_{3}(3)": 16 - }, - { - "{}^2A_{4}(4)": 3 - }, - { - "Alt(11)": 7 - } - ], + "quotients": { + "Alt(9)": 2, + "A_{3}(3)": 16, + "B_{2}(3)": 11, + "M_{12}": 7, + "C_{3}(2)": 4, + "Alt(10)": 7, + "{}^2A_{3}(9)": 14, + "Alt(11)": 7, + "{}^2A_{4}(4)": 3 + }, "alternating_quotients": [ 3, 5, @@ -16164,35 +14598,28 @@ "L2_quotients_utf8": [ "L₂(3²)" ], - "quotients_utf8": [ - { - "B₂(3)": 11 - }, - { - "M₁₂": 7 - }, - { - "Alt(9)": 2 - }, - { - "C₃(2)": 4 - }, - { - "Alt(10)": 7 - }, - { - "²A₃(9)": 14 - }, - { - "A₃(3)": 16 - }, - { - "²A₄(4)": 3 - }, - { - "Alt(11)": 7 - } - ] + "quotients_utf8": { + "²A₄(4)": 3, + "C₃(2)": 4, + "Alt(9)": 2, + "²A₃(9)": 14, + "M₁₂": 7, + "Alt(10)": 7, + "A₃(3)": 16, + "Alt(11)": 7, + "B₂(3)": 11 + }, + "quotients_plain": { + "M12": 7, + "B2(3)": 11, + "Alt(9)": 2, + "A3(3)": 16, + "Alt(10)": 7, + "Alt(11)": 7, + "C3(2)": 4, + "2A3(9)": 14, + "2A4(4)": 3 + } }, { "name": "G^{40,48,54}_2", @@ -16230,32 +14657,16 @@ "L2_quotients": [ "L_2(3^2)" ], - "quotients": [ - { - "B_{2}(3)": 17 - }, - { - "M_{12}": 7 - }, - { - "C_{3}(2)": 2 - }, - { - "Alt(10)": 12 - }, - { - "{}^2A_{3}(9)": 20 - }, - { - "A_{3}(3)": 22 - }, - { - "{}^2A_{4}(4)": 24 - }, - { - "Alt(11)": 15 - } - ], + "quotients": { + "A_{3}(3)": 22, + "B_{2}(3)": 17, + "M_{12}": 7, + "C_{3}(2)": 2, + "Alt(10)": 12, + "{}^2A_{3}(9)": 20, + "Alt(11)": 15, + "{}^2A_{4}(4)": 24 + }, "alternating_quotients": [ 3, 5, @@ -16294,32 +14705,26 @@ "L2_quotients_utf8": [ "L₂(3²)" ], - "quotients_utf8": [ - { - "B₂(3)": 17 - }, - { - "M₁₂": 7 - }, - { - "C₃(2)": 2 - }, - { - "Alt(10)": 12 - }, - { - "²A₃(9)": 20 - }, - { - "A₃(3)": 22 - }, - { - "²A₄(4)": 24 - }, - { - "Alt(11)": 15 - } - ] + "quotients_utf8": { + "²A₄(4)": 24, + "C₃(2)": 2, + "²A₃(9)": 20, + "M₁₂": 7, + "Alt(10)": 12, + "A₃(3)": 22, + "Alt(11)": 15, + "B₂(3)": 17 + }, + "quotients_plain": { + "M12": 7, + "B2(3)": 17, + "A3(3)": 22, + "Alt(10)": 12, + "Alt(11)": 15, + "C3(2)": 2, + "2A3(9)": 20, + "2A4(4)": 24 + } }, { "name": "G^{40,54,54}_0", @@ -16356,29 +14761,15 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "B_{2}(3)": 8 - }, - { - "M_{12}": 2 - }, - { - "Alt(9)": 2 - }, - { - "Alt(10)": 4 - }, - { - "{}^2A_{3}(9)": 9 - }, - { - "A_{3}(3)": 17 - }, - { - "{}^2A_{4}(4)": 7 - } - ], + "quotients": { + "Alt(9)": 2, + "A_{3}(3)": 17, + "B_{2}(3)": 8, + "M_{12}": 2, + "Alt(10)": 4, + "{}^2A_{3}(9)": 9, + "{}^2A_{4}(4)": 7 + }, "alternating_quotients": [ 3, 5, @@ -16413,29 +14804,24 @@ ], "maximal_degree_alternating_quotients": 40, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "B₂(3)": 8 - }, - { - "M₁₂": 2 - }, - { - "Alt(9)": 2 - }, - { - "Alt(10)": 4 - }, - { - "²A₃(9)": 9 - }, - { - "A₃(3)": 17 - }, - { - "²A₄(4)": 7 - } - ] + "quotients_utf8": { + "²A₄(4)": 7, + "Alt(9)": 2, + "²A₃(9)": 9, + "M₁₂": 2, + "Alt(10)": 4, + "A₃(3)": 17, + "B₂(3)": 8 + }, + "quotients_plain": { + "M12": 2, + "B2(3)": 8, + "Alt(9)": 2, + "A3(3)": 17, + "Alt(10)": 4, + "2A3(9)": 9, + "2A4(4)": 7 + } }, { "name": "G^{40,54,54}_2", @@ -16472,32 +14858,16 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "B_{2}(3)": 12 - }, - { - "M_{12}": 2 - }, - { - "C_{3}(2)": 4 - }, - { - "Alt(10)": 16 - }, - { - "{}^2A_{3}(9)": 14 - }, - { - "A_{3}(3)": 26 - }, - { - "{}^2A_{4}(4)": 40 - }, - { - "Alt(11)": 10 - } - ], + "quotients": { + "A_{3}(3)": 26, + "B_{2}(3)": 12, + "M_{12}": 2, + "C_{3}(2)": 4, + "Alt(10)": 16, + "{}^2A_{3}(9)": 14, + "Alt(11)": 10, + "{}^2A_{4}(4)": 40 + }, "alternating_quotients": [ 3, 5, @@ -16533,32 +14903,26 @@ ], "maximal_degree_alternating_quotients": 40, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "B₂(3)": 12 - }, - { - "M₁₂": 2 - }, - { - "C₃(2)": 4 - }, - { - "Alt(10)": 16 - }, - { - "²A₃(9)": 14 - }, - { - "A₃(3)": 26 - }, - { - "²A₄(4)": 40 - }, - { - "Alt(11)": 10 - } - ] + "quotients_utf8": { + "²A₄(4)": 40, + "C₃(2)": 4, + "²A₃(9)": 14, + "M₁₂": 2, + "Alt(10)": 16, + "A₃(3)": 26, + "Alt(11)": 10, + "B₂(3)": 12 + }, + "quotients_plain": { + "M12": 2, + "B2(3)": 12, + "A3(3)": 26, + "Alt(10)": 16, + "Alt(11)": 10, + "C3(2)": 4, + "2A3(9)": 14, + "2A4(4)": 40 + } }, { "name": "G^{40,54,54}_8", @@ -16595,26 +14959,14 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 1, "L2_quotients": [], - "quotients": [ - { - "B_{2}(3)": 8 - }, - { - "M_{12}": 2 - }, - { - "Alt(9)": 12 - }, - { - "{}^2A_{3}(9)": 12 - }, - { - "A_{3}(3)": 8 - }, - { - "{}^2A_{4}(4)": 16 - } - ], + "quotients": { + "Alt(9)": 12, + "A_{3}(3)": 8, + "B_{2}(3)": 8, + "M_{12}": 2, + "{}^2A_{3}(9)": 12, + "{}^2A_{4}(4)": 16 + }, "alternating_quotients": [ 3, 5, @@ -16648,26 +15000,22 @@ ], "maximal_degree_alternating_quotients": 40, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "B₂(3)": 8 - }, - { - "M₁₂": 2 - }, - { - "Alt(9)": 12 - }, - { - "²A₃(9)": 12 - }, - { - "A₃(3)": 8 - }, - { - "²A₄(4)": 16 - } - ] + "quotients_utf8": { + "²A₄(4)": 16, + "Alt(9)": 12, + "²A₃(9)": 12, + "M₁₂": 2, + "A₃(3)": 8, + "B₂(3)": 8 + }, + "quotients_plain": { + "M12": 2, + "B2(3)": 8, + "Alt(9)": 12, + "A3(3)": 8, + "2A3(9)": 12, + "2A4(4)": 16 + } }, { "name": "G^{48,48,48}_0", @@ -16701,47 +15049,21 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 1 - }, - { - "{}^2A_{2}(9)": 2 - }, - { - "B_{2}(3)": 27 - }, - { - "Alt(9)": 3 - }, - { - "M_{22}": 1 - }, - { - "C_{3}(2)": 39 - }, - { - "{}^2A_{3}(9)": 21 - }, - { - "B_{2}(5)": 9 - }, - { - "A_{3}(3)": 33 - }, - { - "{}^2A_{4}(4)": 60 - }, - { - "Alt(11)": 3 - }, - { - "{}^2A_{2}(81)": 2 - }, - { - "HS": 3 - } - ], + "quotients": { + "Alt(9)": 3, + "HS": 3, + "{}^2A_{2}(81)": 2, + "C_{3}(2)": 39, + "B_{2}(5)": 9, + "{}^2A_{2}(9)": 2, + "A_{3}(3)": 33, + "B_{2}(3)": 27, + "{}^2A_{3}(9)": 21, + "Alt(11)": 3, + "A_{2}(3)": 1, + "M_{22}": 1, + "{}^2A_{4}(4)": 60 + }, "alternating_quotients": [ 3, 4, @@ -16780,47 +15102,36 @@ ], "maximal_degree_alternating_quotients": 40, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 1 - }, - { - "²A₂(9)": 2 - }, - { - "B₂(3)": 27 - }, - { - "Alt(9)": 3 - }, - { - "M₂₂": 1 - }, - { - "C₃(2)": 39 - }, - { - "²A₃(9)": 21 - }, - { - "B₂(5)": 9 - }, - { - "A₃(3)": 33 - }, - { - "²A₄(4)": 60 - }, - { - "Alt(11)": 3 - }, - { - "²A₂(81)": 2 - }, - { - "HS": 3 - } - ] + "quotients_utf8": { + "²A₄(4)": 60, + "Alt(9)": 3, + "²A₃(9)": 21, + "²A₂(81)": 2, + "HS": 3, + "B₂(5)": 9, + "B₂(3)": 27, + "C₃(2)": 39, + "²A₂(9)": 2, + "M₂₂": 1, + "A₃(3)": 33, + "Alt(11)": 3, + "A₂(3)": 1 + }, + "quotients_plain": { + "Alt(9)": 3, + "HS": 3, + "A2(3)": 1, + "A3(3)": 33, + "B2(5)": 9, + "C3(2)": 39, + "2A2(9)": 2, + "B2(3)": 27, + "Alt(11)": 3, + "2A3(9)": 21, + "M22": 1, + "2A2(81)": 2, + "2A4(4)": 60 + } }, { "name": "G^{48,48,48}_1", @@ -16854,68 +15165,28 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "Alt(7)": 3 - }, - { - "{}^2A_{2}(9)": 1 - }, - { - "Alt(8) or A_{2}(4)": 6 - }, - { - "B_{2}(3)": 24 - }, - { - "M_{12}": 1 - }, - { - "{}^2A_{2}(25)": 3 - }, - { - "J_{2}": 4 - }, - { - "C_{3}(2)": 27 - }, - { - "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 - }, - { - "Alt(11)": 3 - }, - { - "A_{2}(9)": 1 - }, - { - "{}^2A_{2}(81)": 2 - }, - { - "HS": 3 - } - ], + "quotients": { + "HS": 3, + "{}^2A_{2}(81)": 2, + "{}^2A_{2}(64)": 2, + "Alt(10)": 3, + "M_{12}": 1, + "Alt(8) or A_{2}(4)": 6, + "J_{2}": 4, + "C_{3}(2)": 27, + "Alt(7)": 3, + "B_{2}(5)": 19, + "{}^2A_{2}(9)": 1, + "A_{3}(3)": 30, + "A_{4}(2)": 4, + "B_{2}(3)": 24, + "{}^2A_{2}(25)": 3, + "{}^2A_{3}(9)": 15, + "Alt(11)": 3, + "A_{2}(9)": 1, + "A_{2}(7)": 1, + "{}^2A_{4}(4)": 63 + }, "alternating_quotients": [ 3, 4, @@ -16955,68 +15226,50 @@ ], "maximal_degree_alternating_quotients": 40, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "Alt(7)": 3 - }, - { - "²A₂(9)": 1 - }, - { - "Alt(8) or A₂(4)": 6 - }, - { - "B₂(3)": 24 - }, - { - "M₁₂": 1 - }, - { - "²A₂(25)": 3 - }, - { - "J₂": 4 - }, - { - "C₃(2)": 27 - }, - { - "Alt(10)": 3 - }, - { - "A₂(7)": 1 - }, - { - "²A₃(9)": 15 - }, - { - "B₂(5)": 19 - }, - { - "²A₂(64)": 2 - }, - { - "A₃(3)": 30 - }, - { - "A₄(2)": 4 - }, - { - "²A₄(4)": 63 - }, - { - "Alt(11)": 3 - }, - { - "A₂(9)": 1 - }, - { - "²A₂(81)": 2 - }, - { - "HS": 3 - } - ] + "quotients_utf8": { + "²A₄(4)": 63, + "²A₂(25)": 3, + "²A₃(9)": 15, + "²A₂(81)": 2, + "M₁₂": 1, + "HS": 3, + "Alt(10)": 3, + "B₂(5)": 19, + "A₂(9)": 1, + "Alt(7)": 3, + "B₂(3)": 24, + "A₂(7)": 1, + "C₃(2)": 27, + "²A₂(9)": 1, + "Alt(8) or A₂(4)": 6, + "²A₂(64)": 2, + "A₃(3)": 30, + "A₄(2)": 4, + "J₂": 4, + "Alt(11)": 3 + }, + "quotients_plain": { + "2A2(25)": 3, + "A3(3)": 30, + "A2(9)": 1, + "B2(5)": 19, + "Alt(10)": 3, + "HS": 3, + "A4(2)": 4, + "C3(2)": 27, + "Alt(7)": 3, + "2A2(9)": 1, + "J2": 4, + "Alt(8) or A2(4)": 6, + "M12": 1, + "B2(3)": 24, + "2A2(64)": 2, + "A2(7)": 1, + "Alt(11)": 3, + "2A3(9)": 15, + "2A2(81)": 2, + "2A4(4)": 63 + } }, { "name": "G^{48,48,54}_0", @@ -17051,38 +15304,18 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "B_{2}(3)": 19 - }, - { - "Alt(9)": 3 - }, - { - "C_{3}(2)": 3 - }, - { - "Alt(10)": 6 - }, - { - "{}^2A_{3}(9)": 17 - }, - { - "A_{3}(3)": 28 - }, - { - "{}^2A_{4}(4)": 40 - }, - { - "Alt(11)": 6 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "Alt(9)": 3, + "A_{3}(3)": 28, + "B_{2}(3)": 19, + "Alt(10)": 6, + "C_{3}(2)": 3, + "{}^2A_{3}(9)": 17, + "Alt(11)": 6, + "A_{2}(3)": 2, + "A_{2}(9)": 3, + "{}^2A_{4}(4)": 40 + }, "alternating_quotients": [ 3, 4, @@ -17121,38 +15354,30 @@ ], "maximal_degree_alternating_quotients": 40, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "B₂(3)": 19 - }, - { - "Alt(9)": 3 - }, - { - "C₃(2)": 3 - }, - { - "Alt(10)": 6 - }, - { - "²A₃(9)": 17 - }, - { - "A₃(3)": 28 - }, - { - "²A₄(4)": 40 - }, - { - "Alt(11)": 6 - }, - { - "A₂(9)": 3 - } - ] + "quotients_utf8": { + "²A₄(4)": 40, + "C₃(2)": 3, + "Alt(9)": 3, + "²A₃(9)": 17, + "Alt(10)": 6, + "A₃(3)": 28, + "Alt(11)": 6, + "A₂(9)": 3, + "A₂(3)": 2, + "B₂(3)": 19 + }, + "quotients_plain": { + "Alt(9)": 3, + "B2(3)": 19, + "A2(3)": 2, + "A3(3)": 28, + "A2(9)": 3, + "Alt(10)": 6, + "Alt(11)": 6, + "C3(2)": 3, + "2A3(9)": 17, + "2A4(4)": 40 + } }, { "name": "G^{48,54,54}_0", @@ -17188,38 +15413,18 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "B_{2}(3)": 8 - }, - { - "Alt(9)": 6 - }, - { - "Alt(10)": 2 - }, - { - "{}^2A_{3}(9)": 9 - }, - { - "{}^2A_{2}(64)": 2 - }, - { - "A_{3}(3)": 11 - }, - { - "{}^2A_{4}(4)": 25 - }, - { - "Alt(11)": 4 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "Alt(9)": 6, + "{}^2A_{2}(64)": 2, + "A_{3}(3)": 11, + "B_{2}(3)": 8, + "Alt(10)": 2, + "{}^2A_{3}(9)": 9, + "Alt(11)": 4, + "A_{2}(9)": 3, + "A_{2}(3)": 2, + "{}^2A_{4}(4)": 25 + }, "alternating_quotients": [ 3, 4, @@ -17256,38 +15461,30 @@ ], "maximal_degree_alternating_quotients": 40, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "B₂(3)": 8 - }, - { - "Alt(9)": 6 - }, - { - "Alt(10)": 2 - }, - { - "²A₃(9)": 9 - }, - { - "²A₂(64)": 2 - }, - { - "A₃(3)": 11 - }, - { - "²A₄(4)": 25 - }, - { - "Alt(11)": 4 - }, - { - "A₂(9)": 3 - } - ] + "quotients_utf8": { + "²A₄(4)": 25, + "Alt(9)": 6, + "²A₃(9)": 9, + "Alt(10)": 2, + "A₃(3)": 11, + "²A₂(64)": 2, + "Alt(11)": 4, + "A₂(9)": 3, + "A₂(3)": 2, + "B₂(3)": 8 + }, + "quotients_plain": { + "Alt(9)": 6, + "B2(3)": 8, + "A2(3)": 2, + "2A2(64)": 2, + "A3(3)": 11, + "Alt(10)": 2, + "A2(9)": 3, + "Alt(11)": 4, + "2A3(9)": 9, + "2A4(4)": 25 + } }, { "name": "G^{48,54,54}_2", @@ -17323,41 +15520,19 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "B_{2}(3)": 10 - }, - { - "Alt(9)": 9 - }, - { - "C_{3}(2)": 6 - }, - { - "Alt(10)": 22 - }, - { - "{}^2A_{3}(9)": 14 - }, - { - "{}^2A_{2}(64)": 2 - }, - { - "A_{3}(3)": 36 - }, - { - "{}^2A_{4}(4)": 28 - }, - { - "Alt(11)": 20 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "Alt(9)": 9, + "{}^2A_{2}(64)": 2, + "Alt(10)": 22, + "C_{3}(2)": 6, + "A_{3}(3)": 36, + "B_{2}(3)": 10, + "{}^2A_{3}(9)": 14, + "A_{2}(9)": 3, + "Alt(11)": 20, + "A_{2}(3)": 2, + "{}^2A_{4}(4)": 28 + }, "alternating_quotients": [ 3, 4, @@ -17396,41 +15571,32 @@ ], "maximal_degree_alternating_quotients": 40, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "B₂(3)": 10 - }, - { - "Alt(9)": 9 - }, - { - "C₃(2)": 6 - }, - { - "Alt(10)": 22 - }, - { - "²A₃(9)": 14 - }, - { - "²A₂(64)": 2 - }, - { - "A₃(3)": 36 - }, - { - "²A₄(4)": 28 - }, - { - "Alt(11)": 20 - }, - { - "A₂(9)": 3 - } - ] + "quotients_utf8": { + "²A₄(4)": 28, + "Alt(9)": 9, + "²A₃(9)": 14, + "Alt(10)": 22, + "A₂(9)": 3, + "B₂(3)": 10, + "C₃(2)": 6, + "A₃(3)": 36, + "²A₂(64)": 2, + "Alt(11)": 20, + "A₂(3)": 2 + }, + "quotients_plain": { + "Alt(9)": 9, + "A2(9)": 3, + "A2(3)": 2, + "A3(3)": 36, + "Alt(10)": 22, + "C3(2)": 6, + "B2(3)": 10, + "2A2(64)": 2, + "Alt(11)": 20, + "2A3(9)": 14, + "2A4(4)": 28 + } }, { "name": "G^{48,54,54}_8", @@ -17466,38 +15632,18 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "B_{2}(3)": 18 - }, - { - "Alt(9)": 14 - }, - { - "Alt(10)": 1 - }, - { - "{}^2A_{3}(9)": 15 - }, - { - "{}^2A_{2}(64)": 2 - }, - { - "A_{3}(3)": 19 - }, - { - "{}^2A_{4}(4)": 52 - }, - { - "Alt(11)": 1 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "Alt(9)": 14, + "{}^2A_{2}(64)": 2, + "A_{3}(3)": 19, + "B_{2}(3)": 18, + "Alt(10)": 1, + "{}^2A_{3}(9)": 15, + "Alt(11)": 1, + "A_{2}(9)": 3, + "A_{2}(3)": 2, + "{}^2A_{4}(4)": 52 + }, "alternating_quotients": [ 3, 4, @@ -17533,38 +15679,30 @@ ], "maximal_degree_alternating_quotients": 40, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "B₂(3)": 18 - }, - { - "Alt(9)": 14 - }, - { - "Alt(10)": 1 - }, - { - "²A₃(9)": 15 - }, - { - "²A₂(64)": 2 - }, - { - "A₃(3)": 19 - }, - { - "²A₄(4)": 52 - }, - { - "Alt(11)": 1 - }, - { - "A₂(9)": 3 - } - ] + "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", @@ -17601,20 +15739,12 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "Alt(9)": 6 - }, - { - "{}^2A_{4}(4)": 10 - }, - { - "A_{2}(9)": 3 - } - ], + "quotients": { + "Alt(9)": 6, + "A_{2}(9)": 3, + "A_{2}(3)": 2, + "{}^2A_{4}(4)": 10 + }, "alternating_quotients": [ 3, 9, @@ -17642,20 +15772,18 @@ ], "maximal_degree_alternating_quotients": 40, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "Alt(9)": 6 - }, - { - "²A₄(4)": 10 - }, - { - "A₂(9)": 3 - } - ] + "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", @@ -17692,29 +15820,15 @@ "Kazdhdan_property_T": false, "abelianization_dimension": 3, "L2_quotients": [], - "quotients": [ - { - "A_{2}(3)": 2 - }, - { - "B_{2}(3)": 8 - }, - { - "Alt(9)": 24 - }, - { - "{}^2A_{3}(9)": 9 - }, - { - "A_{3}(3)": 13 - }, - { - "{}^2A_{4}(4)": 41 - }, - { - "A_{2}(9)": 3 - } - ], + "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, @@ -17745,28 +15859,23 @@ ], "maximal_degree_alternating_quotients": 40, "L2_quotients_utf8": [], - "quotients_utf8": [ - { - "A₂(3)": 2 - }, - { - "B₂(3)": 8 - }, - { - "Alt(9)": 24 - }, - { - "²A₃(9)": 9 - }, - { - "A₃(3)": 13 - }, - { - "²A₄(4)": 41 - }, - { - "A₂(9)": 3 - } - ] + "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/data.js b/docs/data.js deleted file mode 100644 index 8deb010..0000000 --- a/docs/data.js +++ /dev/null @@ -1,171 +0,0 @@ -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); - } -} - -function filter_group_json(obj) { - for (let key of Object.keys(obj)) { - if (key.match(/utf8/) != null) { - delete obj[key]; - } - } - return obj -} - -function columnName(key) { - let words = key.split("_"); - for (let i = 0; i < words.length; i++) { - words[i][0].toUpperCase(); - } - return words.join(" "); -} - -function generateTableHead(table, keys) { - let thead = table.createTHead(); - let row = thead.insertRow(); - for (let key of keys) { -// if (key.match("utf8") != null) { continue; } - let th = document.createElement("th"); - let text = document.createTextNode(columnName(key)); - th.appendChild(text); - row.appendChild(th); - } -} - -function fillRow(row, group_json) { - for (let key of Object.keys(group_json)) { - let cell = row.insertCell(); - let cell_content; - // swtich(key){ - let value = group_json[key] - if (key == "quotients" || key == "quotients_utf8") { - cell_content = JSON.stringify(value); - } else if (key == "name") { - cell_content = value - } else if ( key == "generators" || key == "relations") { - cell_content = value.join(","); - } else { - cell_content = group_json[key]; - } - let text = document.createTextNode(cell_content); - cell.appendChild(text); - } -} - -function fillTableFromJson(table, json) { - for (let i=0; i= 0) { - column_indices.push(col_idx); - columns.splice(found, 1); - } - } - - if (columns.length != 0) { - console.log("In Katexify: some columns were not found! " + columns); - } - - for (let col_idx of column_indices) { - // we're skipping the header row - for (let row of table.rows) { - if ( row == header ) { continue; } - rerender_with_katex(row.cells[col_idx]); - } - } - - return table -} - -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: [2,4,5,6,7,15], - text: 'Hidden Columns: ', - enable_tick_all: true - }, { - name: 'sort' - }] -}; - -async function setup_table(data) { - fillTableFromJson(table, data); - console.log("created table of length " + table.rows.length); - return table; -} -async function setup_filter(table) { - console.log("filtered table of length " + table.rows.length); - const filter = new TableFilter(table, filtersConfig); - filter.init(); - return filter; -} - -let table = document.querySelector("table"); - -let filtered_table = fetch_json(groups_url) - .then(setup_table) - .then(setup_filter) -; - -let button = document.getElementById("katexify"); -button.addEventListener("click", ()=>{ - rerender_columns_katex(table); - button.disabled = true; -}); diff --git a/docs/details.css b/docs/details.css new file mode 100644 index 0000000..43cdbf0 --- /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-tex { + 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/index.html b/docs/index.html index 4024c94..100d721 100644 --- a/docs/index.html +++ b/docs/index.html @@ -6,7 +6,7 @@ Generalized Triangle Groups - + @@ -26,13 +26,25 @@ 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..04c9788 --- /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 = false; +katex_switch.addEventListener( + "change", + function () { + let toggle = this.checked; + for (let element of math_objects) { + toggleKaTeX(element, toggle); + } + } +); From ac89ae47766f68ec32dce6e093d1feeacf58823a Mon Sep 17 00:00:00 2001 From: Marek Kaluba Date: Fri, 11 Feb 2022 18:17:06 +0100 Subject: [PATCH 19/19] enable KaTeX rendering by default --- docs/details.css | 2 +- docs/math_render.js | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/docs/details.css b/docs/details.css index 43cdbf0..d6abbff 100644 --- a/docs/details.css +++ b/docs/details.css @@ -21,6 +21,6 @@ details[open] summary { margin-bottom: .5em; } -.math-tex { +.math-text { display: none; } diff --git a/docs/math_render.js b/docs/math_render.js index 04c9788..5eb0b07 100644 --- a/docs/math_render.js +++ b/docs/math_render.js @@ -43,7 +43,7 @@ function toggleKaTeX(elt, toggle) { let math_objects = document.getElementsByClassName("math"); let katex_switch = document.getElementById("renderWithKatex"); -katex_switch.checked = false; +katex_switch.checked = true; katex_switch.addEventListener( "change", function () {