Ian Jauslin
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set title "$v(\\mathbf x)=16e^{-|\\mathbf x|}$"
set ylabel "$\\displaystyle\\frac{\\tilde e}{\\rho}$" norotate offset -1,0
set xlabel "$\\rho$"

set xtics 1e-6, 100, 100
set xtics add ("$10^{-6}$" 0.000001, "$10^{-4}$" 0.0001, "$10^{-2}$" 0.01, "$1$" 1.0, "$10^2$" 100)
unset mxtics
set xrange [0.000001:100]

set ytics 20, 40, 220
set mytics 2
set yrange [20:220]


# default output canvas size: 12.5cm x 8.75cm
set term lua tikz size 8,6 standalone

set key bottom right box linetype rgbcolor"#999999" width 0.3 height 0.3 spacing 1.3


# set linestyle
set style line 1 linetype rgbcolor "#4169E1" linewidth 2 dashtype "."
set style line 2 linetype rgbcolor "#DC143C" linewidth 2
set style line 3 linetype rgbcolor "#32CD32" linewidth 2 dashtype "-"
set style line 4 linetype rgbcolor "#4B0082" linewidth 2
set style line 5 linetype rgbcolor "#DAA520" linewidth 2
set style line 6 linetype rgbcolor "#999999" linewidth 1.5 dashtype (1,5)

set pointsize 1

set logscale x

a=3.9270207371831565

plot \
 "simpleq16.dat" using 1:($3<1e-5 ? ($2/$1) : 1/0) with lines ls 1 title "simple",\
 "mueq16.dat" using 1:($3<1e-5 ? ($2/$1) : 1/0) with lines ls 3 title "med",\
 "bigeq16.dat" using 1:($3<1e-5 ? ($2/$1) : 1/0) with lines ls 5 title "big",\
 "2020-08-27+16.dat" using 1:($2/$1) with points ls 2 title "QMC" ,\
 2*pi*a*(1+128./(15*sqrt(pi))*sqrt(x*a**3)) ls 6 title "LHY"