/usr/share/gnuplot/gnuplot/4.6/colors_default.gp is in gnuplot-qt 4.6.4-2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 | # Ethan A Merritt - my preference for gnuplot colors
# 2 3 4 5 6 8 are borrowed from the colors_podo set
#
set linetype 1 lc rgb "dark-violet" lw 1
set linetype 2 lc rgb "#009e73" lw 1
set linetype 3 lc rgb "#56b4e9" lw 1
set linetype 4 lc rgb "#e69f00" lw 1
set linetype 5 lc rgb "#f0e442" lw 1
set linetype 6 lc rgb "#0072b2" lw 1
set linetype 7 lc rgb "#e51e10" lw 1
set linetype 8 lc rgb "black" lw 1
set linetype 9 lc rgb "gray50" lw 1
set linetype cycle 9
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