Note that GIMP doesn't tag its color palettes in a colorspace, which is much like me giving you a temperature by which to set your thermostat and forgetting to tell you if it is Celsius or Fahrenheit. Really, how different could 40 degrees be between two systems, right?
These are, for what it's worth, sRGB values.
L*a*b values are canonical (White D65, Reference D50), other values are matched in sRGB space.
SOLARIZED HEX 16/8 TERMCOL XTERM/HEX L*A*B sRGB HSB
--------- ------- ---- ------- ----------- ---------- ----------- -----------
base03 #002b36 8/4 brblack 234 #1c1c1c 15 -12 -12 0 43 54 193 100 21
base02 #073642 0/4 black 235 #262626 20 -12 -12 7 54 66 192 90 26
base01 #586e75 10/7 brgreen 240 #4e4e4e 45 -07 -07 88 110 117 194 25 46
base00 #657b83 11/7 bryellow 241 #585858 50 -07 -07 101 123 131 195 23 51
base0 #839496 12/6 brblue 244 #808080 60 -06 -03 131 148 150 186 13 59
base1 #93a1a1 14/4 brcyan 245 #8a8a8a 65 -05 -02 147 161 161 180 9 63
base2 #eee8d5 7/7 white 254 #d7d7af 92 -00 10 238 232 213 44 11 93
base3 #fdf6e3 15/7 brwhite 230 #ffffd7 97 00 10 253 246 227 44 10 99
yellow #b58900 3/3 yellow 136 #af8700 60 10 65 181 137 0 45 100 71
orange #cb4b16 9/3 brred 166 #d75f00 50 50 55 203 75 22 18 89 80
red #dc322f 1/1 red 160 #d70000 50 65 45 220 50 47 1 79 86
magenta #d33682 5/5 magenta 125 #af005f 50 65 -05 211 54 130 331 74 83
violet #6c71c4 13/5 brmagenta 61 #5f5faf 50 15 -45 108 113 196 237 45 77
blue #268bd2 4/4 blue 33 #0087ff 55 -10 -45 38 139 210 205 82 82
cyan #2aa198 6/6 cyan 37 #00afaf 60 -35 -05 42 161 152 175 74 63
green #859900 2/2 green 64 #5f8700 60 -20 65 133 153 0 68 100 60