dcamprof is your friend:
glenn@caliente:~/Downloads$ dcamprof dcp2json EOS\ 6D\ 50mm\ sunshine\ June.dcp EOS\ 6D\ 50mm\ sunshine\ June.json
glenn@caliente:~/Downloads$ cat EOS\ 6D\ 50mm\ sunshine\ June.json
{
"UniqueCameraModel": "Canon EOS 6D",
"ProfileName": "EOS 6D 50mm sunshine June",
"ProfileEmbedPolicy": "Allow copying",
"CalibrationIlluminant1": "D55",
"ColorMatrix1": [
[ 0.607600, -0.025400, -0.055000 ],
[ -0.532900, 1.287200, 0.274700 ],
[ -0.152500, 0.244900, 0.622000 ]
],
"ProfileHueSatMapDims": [ 6, 6, 3 ],
"ProfileHueSatMap1": [
{ "HueDiv": 0, "SatDiv": 0, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 0, "SatDiv": 0, "ValDiv": 1, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 0, "SatDiv": 0, "ValDiv": 2, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 0, "SatDiv": 1, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 0, "SatDiv": 1, "ValDiv": 1, "HueShift": -6.223228, "SatScale": 1.040475, "ValScale": 0.988021 },
{ "HueDiv": 0, "SatDiv": 1, "ValDiv": 2, "HueShift": -5.721206, "SatScale": 1.036666, "ValScale": 0.973357 },
{ "HueDiv": 0, "SatDiv": 2, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 0, "SatDiv": 2, "ValDiv": 1, "HueShift": -2.043063, "SatScale": 1.016483, "ValScale": 0.962219 },
{ "HueDiv": 0, "SatDiv": 2, "ValDiv": 2, "HueShift": -2.578055, "SatScale": 1.014032, "ValScale": 0.957057 },
{ "HueDiv": 0, "SatDiv": 3, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 0, "SatDiv": 3, "ValDiv": 1, "HueShift": -1.433088, "SatScale": 1.030400, "ValScale": 0.956474 },
{ "HueDiv": 0, "SatDiv": 3, "ValDiv": 2, "HueShift": -2.097436, "SatScale": 1.026946, "ValScale": 0.955720 },
{ "HueDiv": 0, "SatDiv": 4, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 0, "SatDiv": 4, "ValDiv": 1, "HueShift": -1.191141, "SatScale": 1.031467, "ValScale": 0.961666 },
{ "HueDiv": 0, "SatDiv": 4, "ValDiv": 2, "HueShift": -1.308072, "SatScale": 1.020441, "ValScale": 0.972878 },
{ "HueDiv": 0, "SatDiv": 5, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 0, "SatDiv": 5, "ValDiv": 1, "HueShift": -0.585341, "SatScale": 1.011132, "ValScale": 0.993417 },
{ "HueDiv": 0, "SatDiv": 5, "ValDiv": 2, "HueShift": -0.206819, "SatScale": 1.003279, "ValScale": 1.003997 },
{ "HueDiv": 1, "SatDiv": 0, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 1, "SatDiv": 0, "ValDiv": 1, "HueShift": -2.363967, "SatScale": 0.975908, "ValScale": 1.000000 },
{ "HueDiv": 1, "SatDiv": 0, "ValDiv": 2, "HueShift": -2.272153, "SatScale": 0.982975, "ValScale": 1.000000 },
{ "HueDiv": 1, "SatDiv": 1, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 1, "SatDiv": 1, "ValDiv": 1, "HueShift": -2.363967, "SatScale": 0.975908, "ValScale": 0.995387 },
{ "HueDiv": 1, "SatDiv": 1, "ValDiv": 2, "HueShift": -2.272153, "SatScale": 0.982975, "ValScale": 0.978850 },
{ "HueDiv": 1, "SatDiv": 2, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 1, "SatDiv": 2, "ValDiv": 1, "HueShift": 0.171870, "SatScale": 1.011072, "ValScale": 0.980223 },
{ "HueDiv": 1, "SatDiv": 2, "ValDiv": 2, "HueShift": 0.722666, "SatScale": 1.005402, "ValScale": 0.969851 },
{ "HueDiv": 1, "SatDiv": 3, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 1, "SatDiv": 3, "ValDiv": 1, "HueShift": 0.618820, "SatScale": 1.017282, "ValScale": 0.970643 },
{ "HueDiv": 1, "SatDiv": 3, "ValDiv": 2, "HueShift": 0.536536, "SatScale": 0.992694, "ValScale": 0.964624 },
{ "HueDiv": 1, "SatDiv": 4, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 1, "SatDiv": 4, "ValDiv": 1, "HueShift": -0.333802, "SatScale": 1.003912, "ValScale": 0.960836 },
{ "HueDiv": 1, "SatDiv": 4, "ValDiv": 2, "HueShift": -0.116653, "SatScale": 0.988490, "ValScale": 0.960113 },
{ "HueDiv": 1, "SatDiv": 5, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 1, "SatDiv": 5, "ValDiv": 1, "HueShift": -0.930101, "SatScale": 0.994783, "ValScale": 0.981835 },
{ "HueDiv": 1, "SatDiv": 5, "ValDiv": 2, "HueShift": -0.498363, "SatScale": 0.994729, "ValScale": 0.978392 },
{ "HueDiv": 2, "SatDiv": 0, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 2, "SatDiv": 0, "ValDiv": 1, "HueShift": -0.768260, "SatScale": 0.998313, "ValScale": 1.000000 },
{ "HueDiv": 2, "SatDiv": 0, "ValDiv": 2, "HueShift": -0.508900, "SatScale": 0.996094, "ValScale": 1.000000 },
{ "HueDiv": 2, "SatDiv": 1, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 2, "SatDiv": 1, "ValDiv": 1, "HueShift": -0.768260, "SatScale": 0.998313, "ValScale": 0.986646 },
{ "HueDiv": 2, "SatDiv": 1, "ValDiv": 2, "HueShift": -0.508900, "SatScale": 0.996094, "ValScale": 0.968572 },
{ "HueDiv": 2, "SatDiv": 2, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 2, "SatDiv": 2, "ValDiv": 1, "HueShift": -1.700042, "SatScale": 1.041945, "ValScale": 0.976196 },
{ "HueDiv": 2, "SatDiv": 2, "ValDiv": 2, "HueShift": 0.615310, "SatScale": 1.010225, "ValScale": 0.961559 },
{ "HueDiv": 2, "SatDiv": 3, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 2, "SatDiv": 3, "ValDiv": 1, "HueShift": -0.497281, "SatScale": 1.010197, "ValScale": 0.963300 },
{ "HueDiv": 2, "SatDiv": 3, "ValDiv": 2, "HueShift": 1.328176, "SatScale": 1.004911, "ValScale": 0.959678 },
{ "HueDiv": 2, "SatDiv": 4, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 2, "SatDiv": 4, "ValDiv": 1, "HueShift": 0.099982, "SatScale": 0.997549, "ValScale": 0.970038 },
{ "HueDiv": 2, "SatDiv": 4, "ValDiv": 2, "HueShift": 0.504854, "SatScale": 0.999362, "ValScale": 0.984709 },
{ "HueDiv": 2, "SatDiv": 5, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 2, "SatDiv": 5, "ValDiv": 1, "HueShift": 0.309064, "SatScale": 0.997570, "ValScale": 1.012038 },
{ "HueDiv": 2, "SatDiv": 5, "ValDiv": 2, "HueShift": 0.313786, "SatScale": 0.997648, "ValScale": 1.013355 },
{ "HueDiv": 3, "SatDiv": 0, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 3, "SatDiv": 0, "ValDiv": 1, "HueShift": 3.879327, "SatScale": 1.027860, "ValScale": 1.000000 },
{ "HueDiv": 3, "SatDiv": 0, "ValDiv": 2, "HueShift": 3.532059, "SatScale": 1.019343, "ValScale": 1.000000 },
{ "HueDiv": 3, "SatDiv": 1, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 3, "SatDiv": 1, "ValDiv": 1, "HueShift": 3.879327, "SatScale": 1.027860, "ValScale": 1.000480 },
{ "HueDiv": 3, "SatDiv": 1, "ValDiv": 2, "HueShift": 3.532059, "SatScale": 1.019343, "ValScale": 0.979018 },
{ "HueDiv": 3, "SatDiv": 2, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 3, "SatDiv": 2, "ValDiv": 1, "HueShift": -0.577362, "SatScale": 1.009899, "ValScale": 0.977843 },
{ "HueDiv": 3, "SatDiv": 2, "ValDiv": 2, "HueShift": 0.948862, "SatScale": 1.016268, "ValScale": 0.967812 },
{ "HueDiv": 3, "SatDiv": 3, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 3, "SatDiv": 3, "ValDiv": 1, "HueShift": 0.080757, "SatScale": 1.001733, "ValScale": 0.977333 },
{ "HueDiv": 3, "SatDiv": 3, "ValDiv": 2, "HueShift": 2.074743, "SatScale": 1.019212, "ValScale": 0.982167 },
{ "HueDiv": 3, "SatDiv": 4, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 3, "SatDiv": 4, "ValDiv": 1, "HueShift": 0.803052, "SatScale": 0.999782, "ValScale": 0.989461 },
{ "HueDiv": 3, "SatDiv": 4, "ValDiv": 2, "HueShift": 2.366079, "SatScale": 1.010309, "ValScale": 1.002712 },
{ "HueDiv": 3, "SatDiv": 5, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 3, "SatDiv": 5, "ValDiv": 1, "HueShift": 0.873238, "SatScale": 0.997550, "ValScale": 1.007838 },
{ "HueDiv": 3, "SatDiv": 5, "ValDiv": 2, "HueShift": 1.393285, "SatScale": 1.001151, "ValScale": 1.008462 },
{ "HueDiv": 4, "SatDiv": 0, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 4, "SatDiv": 0, "ValDiv": 1, "HueShift": 1.938873, "SatScale": 1.089184, "ValScale": 1.000000 },
{ "HueDiv": 4, "SatDiv": 0, "ValDiv": 2, "HueShift": 2.840321, "SatScale": 1.088911, "ValScale": 1.000000 },
{ "HueDiv": 4, "SatDiv": 1, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 4, "SatDiv": 1, "ValDiv": 1, "HueShift": 1.938873, "SatScale": 1.089184, "ValScale": 1.029355 },
{ "HueDiv": 4, "SatDiv": 1, "ValDiv": 2, "HueShift": 2.840321, "SatScale": 1.088911, "ValScale": 1.000902 },
{ "HueDiv": 4, "SatDiv": 2, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 4, "SatDiv": 2, "ValDiv": 1, "HueShift": -0.020651, "SatScale": 1.016369, "ValScale": 1.039608 },
{ "HueDiv": 4, "SatDiv": 2, "ValDiv": 2, "HueShift": 0.459173, "SatScale": 1.025850, "ValScale": 1.009484 },
{ "HueDiv": 4, "SatDiv": 3, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 4, "SatDiv": 3, "ValDiv": 1, "HueShift": -0.138498, "SatScale": 0.996484, "ValScale": 1.056785 },
{ "HueDiv": 4, "SatDiv": 3, "ValDiv": 2, "HueShift": 0.451256, "SatScale": 1.008665, "ValScale": 1.028304 },
{ "HueDiv": 4, "SatDiv": 4, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 4, "SatDiv": 4, "ValDiv": 1, "HueShift": 0.847942, "SatScale": 0.993002, "ValScale": 1.081948 },
{ "HueDiv": 4, "SatDiv": 4, "ValDiv": 2, "HueShift": 0.752981, "SatScale": 1.000165, "ValScale": 1.048380 },
{ "HueDiv": 4, "SatDiv": 5, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 4, "SatDiv": 5, "ValDiv": 1, "HueShift": 0.546762, "SatScale": 1.000008, "ValScale": 1.033266 },
{ "HueDiv": 4, "SatDiv": 5, "ValDiv": 2, "HueShift": 0.351330, "SatScale": 1.000754, "ValScale": 1.015978 },
{ "HueDiv": 5, "SatDiv": 0, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 5, "SatDiv": 0, "ValDiv": 1, "HueShift": -7.740164, "SatScale": 1.141988, "ValScale": 1.000000 },
{ "HueDiv": 5, "SatDiv": 0, "ValDiv": 2, "HueShift": -5.995917, "SatScale": 1.140704, "ValScale": 1.000000 },
{ "HueDiv": 5, "SatDiv": 1, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 5, "SatDiv": 1, "ValDiv": 1, "HueShift": -7.740164, "SatScale": 1.141988, "ValScale": 1.027035 },
{ "HueDiv": 5, "SatDiv": 1, "ValDiv": 2, "HueShift": -5.995917, "SatScale": 1.140704, "ValScale": 1.001403 },
{ "HueDiv": 5, "SatDiv": 2, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 5, "SatDiv": 2, "ValDiv": 1, "HueShift": -6.221800, "SatScale": 1.065223, "ValScale": 1.032295 },
{ "HueDiv": 5, "SatDiv": 2, "ValDiv": 2, "HueShift": -4.662898, "SatScale": 1.072518, "ValScale": 1.009416 },
{ "HueDiv": 5, "SatDiv": 3, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 5, "SatDiv": 3, "ValDiv": 1, "HueShift": -2.976302, "SatScale": 1.039025, "ValScale": 1.039473 },
{ "HueDiv": 5, "SatDiv": 3, "ValDiv": 2, "HueShift": -2.678050, "SatScale": 1.041198, "ValScale": 1.017745 },
{ "HueDiv": 5, "SatDiv": 4, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 5, "SatDiv": 4, "ValDiv": 1, "HueShift": -0.840111, "SatScale": 1.018951, "ValScale": 1.037068 },
{ "HueDiv": 5, "SatDiv": 4, "ValDiv": 2, "HueShift": -0.786371, "SatScale": 1.015569, "ValScale": 1.017200 },
{ "HueDiv": 5, "SatDiv": 5, "ValDiv": 0, "HueShift": 0.000000, "SatScale": 1.000000, "ValScale": 1.000000 },
{ "HueDiv": 5, "SatDiv": 5, "ValDiv": 1, "HueShift": 0.547382, "SatScale": 1.005646, "ValScale": 1.033023 },
{ "HueDiv": 5, "SatDiv": 5, "ValDiv": 2, "HueShift": 0.309819, "SatScale": 1.003338, "ValScale": 1.018318 }
]
}
There’s no ForwardMatrix in the profile, so it looks like the HueSatMap LUT is what does the color conversion. Again, dcamprof is your friend, here’s the doc section on HueSatMap in DCPs: