# set terminal pngcairo  transparent enhanced font "arial,10" fontscale 1.0 size 600, 400 
# set output 'zeta.5.png'
set border 895 front lt black linewidth 1.000 dashtype solid
set key at screen 0, 0.6 left bottom vertical Right noreverse enhanced autotitle nobox
set key noinvert samplen 0 spacing 1 width 0 height 0
set view 57, 100, 1.2, 0.5
set samples 201, 201
set isosamples 201, 201
set xyplane relative 0
set cbtics  norangelimit 
set cbtics   ("-π" -3.14159, "+π" 3.14159)
set title "{/Times=16 Riemann zeta function}    {/Times:Italic=16 ζ(s) = {∑@_{/*0.5 {k=1}}^{/*.5 ∞}}  {/:Italic=12 k^{ -s}}" 
set xlabel "Real(s)" 
set xlabel  offset character -3, 0, 0 font "" textcolor lt -1 right norotate
set xrange [ -3.00000 : 3.00000 ] noreverse nowriteback
set x2range [ * : * ] noreverse writeback
set ylabel "Imag(s)" 
set yrange [ -10.0000 : 50.0000 ] noreverse nowriteback
set y2range [ * : * ] noreverse writeback
set zrange [ 0.00000 : 4.00000 ] noreverse writeback
set cblabel "Phase Angle" 
set cblabel  offset character -1, 0, 0 font "" textcolor lt -1 rotate
set cbrange [ -3.14159 : 3.14159 ] noreverse writeback
set rrange [ * : * ] noreverse writeback
set pm3d depthorder base
set pm3d interpolate 1,1 flush begin noftriangles noborder corners2color c1
set pm3d lighting primary 0.5 specular 0.1 spec2 0
set palette negative nops_allcF maxcolors 0 gamma 1.5 color model RGB 
set palette cubehelix start 0.5 cycles -1.5 saturation 1
set colorbox vertical origin screen 0.9, 0.2 size screen 0.05, 0.6 front  noinvert bdefault
unset colorbox
NO_ANIMATION = 1
save_encoding = "utf8"
splot 1./abs( zeta(x + I*y) ) with pm3d title "|ζ(s)|^{-1}"