Eigenvalues of random matrices from the Ginibre ensemble

eigvals.txt

        Eigenvalues of a 2000×2000 random matrix from the Ginibre ensemble
        ┌────────────────────────────────────────┐ 
    1.5 │⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│ 
        │⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│ 
        │⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡄⣠⣤⢤⣧⣄⡤⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│ 
        │⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣐⢔⡾⣿⠳⡽⣯⢿⢷⡯⡿⣹⡽⣿⣽⢾⣰⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│ 
        │⠀⠀⠀⠀⠀⠀⠀⠀⠠⣰⡺⣽⣷⢏⣶⢽⣻⣻⣫⣿⡯⣿⢟⡿⣿⢿⣟⣯⣺⢷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀│ 
        │⠀⠀⠀⠀⠀⠀⠀⣀⣿⣻⡟⣷⣷⡕⣛⢯⢾⣾⠯⢾⣿⡷⣝⣯⡯⣷⣋⢟⣿⣟⣿⢳⣀⠀⠀⠀⠀⠀⠀⠀│ 
        │⠀⠀⠀⠀⠀⠀⠀⢿⡯⣿⣷⡵⣷⣪⣿⣷⣫⢯⡾⡽⣿⡜⣿⡷⣕⡿⣟⣿⣻⣳⡿⣽⣋⡆⠀⠀⠀⠀⠀⠀│ 
        │⠤⠤⠤⠤⠤⠤⢼⣿⣿⣿⢽⣯⡯⢿⣾⢽⡿⣽⢽⣽⡿⢷⡿⢿⣵⣿⣽⣿⢮⢿⣯⣧⣿⠥⠤⠤⠤⠤⠤⠤│ 
        │⠀⠀⠀⠀⠀⠀⠐⣽⡟⣯⣳⣯⣿⣿⣷⣯⢾⢷⣽⣏⣷⠟⣺⣜⣯⡝⣾⡻⡿⣿⣃⣿⣷⠁⠀⠀⠀⠀⠀⠀│ 
        │⠀⠀⠀⠀⠀⠀⠀⠰⡫⣿⣾⢾⠿⣳⡿⣽⣿⣫⣊⣿⣟⣟⡿⡷⣽⣻⣾⢟⡟⡯⡿⡿⠈⠀⠀⠀⠀⠀⠀⠀│ 
        │⠀⠀⠀⠀⠀⠀⠀⠀⠈⠺⢿⣗⣮⣿⣽⡽⣝⣯⣻⡽⣿⣾⣝⣯⣿⡿⡏⣾⡹⡿⠍⠁⠀⠀⠀⠀⠀⠀⠀⠀│ 
        │⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠾⢫⢽⣿⣻⣿⣗⣭⣗⡽⣞⡾⢽⣫⣿⠊⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│ 
        │⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠛⠉⠛⠙⡟⠙⠚⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│ 
        │⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│ 
   -1.5 │⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│ 
        └────────────────────────────────────────┘ 
        -1.5                                   1.5

ginibre.jl

using Distributions
using LinearAlgebra
using UnicodePlots

function ginibre(N)
    d = Normal(0, sqrt(1/2N))
    reshape(rand(d, N^2), (N,N)) + im*reshape(rand(d, N^2), (N,N))
end

v = eigvals(ginibre(2000))

scatterplot(real(v), imag(v), xlim=[-1.5,1.5], ylim=[-1.5,1.5], title="Eigenvalues of a 2000×2000 random matrix from the Ginibre ensemble")