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https://github.com/kalmarek/SmallHyperbolic
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Some output.
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@ -15,6 +15,24 @@ function SL2p_gens(p)
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@assert isone(a^10)
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@assert isone(b^10)
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a, b
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end
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elseif p == 41
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a, b = let
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a = SL₂{p}([19 26; 29 16])
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b = SL₂{p}([0 20; 2 6])
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@assert isone(a^10)
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@assert isone(b^10)
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a, b
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end
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elseif p == 59
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a, b = let
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a = SL₂{p}([32 12; 20 2])
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b = SL₂{p}([14 18; 45 20])
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@assert isone(a^10)
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@assert isone(b^10)
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a, b
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end
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elseif p == 109
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@ -80,6 +98,8 @@ open(joinpath("log", LOGFILE), "w") do io
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RamanujanGraphs.CosetDecomposition(SL2p, Borel(SL₂{p}))
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end
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all_large_ev = []
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let α = RamanujanGraphs.generator(RamanujanGraphs.GF{p}(0))
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for j = 0:(p-1)÷4
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@ -96,6 +116,7 @@ open(joinpath("log", LOGFILE), "w") do io
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end
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@info "Principal Series Representation $j" ev[1:2] ev[end]
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all_large_ev = vcat(all_large_ev, ev[1:2])
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catch ex
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@error "Principal Series Representation $j failed" ex
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ex isa InterruptException && rethrow(ex)
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@ -129,11 +150,16 @@ open(joinpath("log", LOGFILE), "w") do io
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end
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@info "Discrete Series Representation $k" ev[1:2] ev[end]
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all_large_ev = vcat(all_large_ev, ev[1:2])
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catch ex
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@error "Discrete Series Representation $k : failed" ex
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ex isa InterruptException && rethrow(ex)
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end
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end
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print(all_large_ev)
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# all_large_ev = sort(all_large_ev, rev=true)
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# lambda = all_large_ev[2]
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# print(lambda, " ", (lambda - 3)/5, " ", acos((lambda-3)/5), " ", acos((lambda-3)/5)/pi*180)
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end
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end # with_logger
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end # open(logfile)
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