"The effect of the above equations is to closely fit a straightforward gamma 2.2 curve with an slight offset to allow for invertability in integer math." - sRGB

LevelRelative Luminosity
00
10.000303526983548838
20.000607053967097675
30.000910580950646512
40.00121410793419535
50.00151763491774419
60.00182116190129302
70.00212468888484186
80.0024282158683907
90.00273174285193954
100.00303526983548837
110.00334653576389916
120.00367650732404744
130.00402471701849631
140.00439144203741029
150.00477695348069373
160.00518151670233839
170.00560539162420272
180.00604883302285705
190.00651209079259448
200.00699541018726539
210.00749903204322618
220.00802319298538499
230.00856812561806931
240.00913405870222079
250.00972121732023785
260.0103298230296269
270.0109600940064882
280.0116122451797439
290.0122864883569159
300.012983032342173
310.0137020830472897
320.0144438435960925
330.0152085144229127
340.0159962933655096
350.0168073757528874
360.0176419544883841
370.0185002201283797
380.0193823609569357
390.0202885630566524
400.0212190103760036
410.0221738847933874
420.0231533661781104
430.0241576324485048
440.0251868596273616
450.0262412218948499
460.0273208916390749
470.0284260395044208
480.0295568344378088
490.0307134437329936
500.0318960330730115
510.0331047665708851
520.0343398068086822
530.0356013148750203
540.0368894504011
550.0382043715953465
560.0395462352767328
570.0409151969068532
580.0423114106208097
590.0437350292569735
600.0451862043856755
610.0466650863368801
620.0481718242268894
630.0497065659841272
640.0512694583740432
650.0528606470231802
660.0544802764424424
670.0561284900496001
680.0578054301910672
690.0595112381629812
700.0612460542316176
710.0630100176531677
720.0648032666929058
730.0666259386437729
740.0684781698444002
750.0703600956965959
760.0722718506823175
770.0742135683801496
780.0761853814813079
790.0781874218051863
800.0802198203144683
810.0822827071298148
820.0843762115441488
830.0865004620365498
840.0886555862857729
850.0908417111834077
860.0930589628466875
870.0953074666309647
880.0975873471418625
890.0998987282471139
900.102241733088101
910.104616484091104
920.107023102978268
930.109461710778299
940.111932427836906
950.114435373826974
960.116970667758511
970.119538427988346
980.122138772229602
990.12477181756095
1000.127437680435647
1010.130136476690364
1020.132868321553818
1030.135633329655206
1040.138431615032452
1050.141263291140272
1060.144128470858058
1070.147027266497595
1080.149959789810609
1090.15292615199615
1100.155926463707827
1110.15896083506088
1120.162029375639111
1130.165132194501668
1140.168269400189691
1150.171441100732823
1160.174647403655585
1170.177888415983629
1180.18116424424986
1190.184474994500441
1200.187820772300678
1210.191201682740791
1220.194617830441576
1230.198069319559949
1240.201556253794397
1250.205078736390317
1260.208636870145256
1270.212230757414055
1280.215860500113899
1290.219526199729269
1300.223227957316809
1310.226965873510098
1320.230740048524349
1330.234550582161005
1340.238397573812271
1350.242281122465555
1360.246201326707835
1370.250158284729953
1380.254152094330827
1390.258182852921596
1400.262250657529696
1410.266355604802862
1420.270497791013066
1430.274677312060385
1440.27889426347681
1450.283148740429992
1460.287440837726917
1470.291770649817536
1480.296138270798321
1490.300543794415776
1500.304987314069886
1510.309468922817509
1520.313988713375718
1530.318546778125092
1540.323143209112951
1550.327778098056542
1560.332451536346179
1570.33716361504833
1580.341914424908661
1590.34670405635503
1600.351532599500439
1610.356400144145944
1620.36130677978351
1630.366252595598839
1640.371237680474149
1650.376262122990907
1660.38132601143253
1670.386429433787049
1680.391572477749723
1690.396755230725627
1700.401977779832196
1710.407240211901737
1720.412542613483904
1730.417885070848137
1740.423267669986072
1750.428690496613907
1760.434153636174749
1770.439657173840919
1780.445201194516228
1790.450785782838223
1800.456411023180405
1810.462076999654407
1820.467783796112159
1830.47353149614801
1840.479320183100827
1850.48514994005607
1860.491020849847836
1870.49693299506087
1880.502886458032569
1890.508881320854934
1900.514917665376521
1910.520995573204354
1920.527115125705813
1930.533276404010505
1940.539479489012107
1950.545724461370187
1960.552011401512
1970.558340389634268
1980.564711505704929
1990.571124829464873
2000.577580440429651
2010.584078417891164
2020.590618840919337
2030.597201788363763
2040.603827338855338
2050.610495570807865
2060.617206562419651
2070.623960391675076
2080.630757136346147
2090.637596873994033
2100.644479681970582
2110.651405637419824
2120.658374817279448
2130.665387298282272
2140.672443156957688
2150.679542469633094
2160.686685312435313
2170.69387176129199
2180.701101891932973
2190.708375779891687
2200.715693500506481
2210.723055128921969
2220.730460740090354
2230.737910408772731
2240.745404209540387
2250.752942216776078
2260.760524504675292
2270.768151147247507
2280.775822218317424
2290.783537791526194
2300.79129794033263
2310.799102738014409
2320.806952257669252
2330.814846572216101
2340.822785754396284
2350.830769876774655
2360.83879901174074
2370.846873231509858
2380.854992608124234
2390.863157213454102
2400.871367119198797
2410.879622396887832
2420.887923117881966
2430.896269353374266
2440.90466117439115
2450.913098651793419
2460.921581856277295
2470.930110858375424
2480.938685728457888
2490.9473065367332
2500.955973353249286
2510.964686247894465
2520.973445290398413
2530.982250550333117
2540.99110209711383
2551