# Free energy computed with a varying number of propagators P, corrected for finite P except in the cases marked 'uncorrected data'.
# Data sets have been shifted as described in the figure legend.

# (a) rs = 3.23: Free energy from eta-ensemble in units of GDSMFB ('y'), as a function of 1/P.
# Markers with limits for the lower (y_low) and upper (y_upper) error bars

# N = 14: uncorrected data
# x,y,y_low,y_upper
0.1,0.969516835490057,0.969499622264815,0.969534048715299
0.0769230769230769,0.967872741684734,0.967859360736384,0.967886122633084
0.05,0.966314196799957,0.966298104131075,0.966330289468839
0.04,0.965777017579302,0.965760661862303,0.965793373296301
0.0303030303030303,0.965391472504335,0.965373998999095,0.965408946009575
0.02,0.965023207298046,0.965004526758018,0.965041887838073
0.01,0.964784217766868,0.964770747068695,0.96479768846504
0.005,0.964606447514897,0.964583169386301,0.964629725643494

# N = 14
# x,y,y_low,y_upper
0.1,0.964499713662101,0.964482500436859,0.964516926887343
0.0769230769230769,0.964539423075193,0.964526042126843,0.964552804023543
0.05,0.964546427491162,0.96453033482228,0.964562520160044
0.04,0.964481328789095,0.964464973072096,0.964497684506094
0.0303030303030303,0.96449696201172,0.96447948850648,0.96451443551696
0.02,0.964493889559771,0.964475209019744,0.964512570099799
0.01,0.964549190561938,0.964535719863765,0.96456266126011
0.005,0.964496341828484,0.964473063699888,0.96451961995708

# N = 30
# x,y,y_low,y_upper
0.1,0.962395875751092,0.962389176009461,0.962402575492722
0.0769230769230769,0.962419424470843,0.962412524427576,0.96242632451411
0.05,0.962359630475531,0.962351952332114,0.962367308618948
0.02,0.962278153110694,0.962271624919644,0.962284681301744
0.01,0.962324445124802,0.962316883943842,0.962332006305762
0.005,0.962316187787731,0.9623071017332,0.962325273842263

# N = 66
# x,y,y_low,y_upper
0.1,0.960707765173535,0.96070291340931,0.96071261693776
0.0769230769230769,0.960683197066017,0.960677363698799,0.960689030433234
0.05,0.960647136191846,0.960640380463279,0.960653891920413
0.02,0.960543934407202,0.96053612897117,0.960551739843235
0.01,0.960540738871331,0.960533030798484,0.960548446944178

# (b) rs = 3.23: Free energy from sign contribution in units of GDSMFB ('y'), as a function of 1/P.
# Markers with limits for the lower (y_low) and upper (y_upper) error bars

# N = 14: uncorrected data
# x,y,y_low,y_upper
0.1,-0.109724854078846,-0.109808718520093,-0.109640989637598
0.0769230769230769,-0.109124563635034,-0.109220958386583,-0.109028168883486
0.05,-0.108470313035131,-0.108597512223653,-0.10834311384661
0.04,-0.108319087629596,-0.108440649833801,-0.108197525425392
0.0303030303030303,-0.108075551652225,-0.108190052634574,-0.107961050669877
0.02,-0.107957487818155,-0.108078099563989,-0.107836876072322
0.01,-0.10784585342551,-0.10800674189807,-0.107684964952949
0.005,-0.107779579467162,-0.107983198871919,-0.107575960062404

# N = 14
# x,y,y_low,y_upper
0.1,-0.1076918346277,-0.107775699068948,-0.107607970186453
0.0769230769230769,-0.107724747453055,-0.107821142204603,-0.107628352701506
0.05,-0.107684833258679,-0.1078120324472,-0.107557634070157
0.04,-0.107727668600293,-0.107849230804498,-0.107606106396089
0.0303030303030303,-0.107654661968398,-0.107769162950747,-0.10754016098605
0.02,-0.107698743095363,-0.107819354841197,-0.107578131349529
0.01,-0.107725722262078,-0.107886610734639,-0.107564833789518
0.005,-0.107721824184937,-0.107925443589695,-0.10751820478018

# N = 30
# x,y,y_low,y_upper
0.1,-0.110885738444407,-0.111100044524415,-0.1106714323644
0.0769230769230769,-0.110896230180928,-0.111129714278977,-0.11066274608288
0.05,-0.110929107971038,-0.111192332335658,-0.110665883606419
0.02,-0.110777780345318,-0.11097407279647,-0.110581487894166
0.01,-0.110581078212306,-0.110768197581052,-0.110393958843559
0.005,-0.110971956606491,-0.111214037035189,-0.110729876177793

# N = 66
# x,y,y_low,y_upper
0.1,-0.111659736110527,-0.111854567038763,-0.111464905182292
0.0769230769230769,-0.111708938595718,-0.111882334792962,-0.111535542398474
0.05,-0.111613389516709,-0.111719075236714,-0.111507703796704
0.02,-0.111578246908734,-0.111834860712847,-0.11132163310462
0.01,-0.11152237562621,-0.111740476431145,-0.111304274821275

# (c) rs = 3.23: Free XC energy in units of GDSMFB ('y'), as a function of 1/P.
# Markers with limits for the lower (y_low) and upper (y_upper) error bars

# N = 14: uncorrected data
# x,y,y_low,y_upper
0.1,0.997123409081684,0.997036346323259,0.997210471840109
0.0769230769230769,0.99606677431087,0.995966280666878,0.996167267954863
0.05,0.995173642571843,0.995042903525429,0.995304381618257
0.04,0.99477033320253,0.994645136317787,0.994895530087273
0.0303030303030303,0.994677629615662,0.994555881511766,0.994799377719557
0.02,0.99440093611582,0.994276101786797,0.994525770444844
0.01,0.994253032493484,0.994087992115292,0.994418072871676
0.005,0.994168978666978,0.993959629331685,0.994378328002271

# N = 14
# x,y,y_low,y_upper
0.1,0.994135416497432,0.994048353739007,0.994222479255856
0.0769230769230769,0.994121736600516,0.994021242956523,0.994222230244509
0.05,0.994177376803908,0.994046637757494,0.994308115850322
0.04,0.994052957472053,0.99392776058731,0.994178154356796
0.0303030303030303,0.994192665914516,0.994070917810621,0.994314414018411
0.02,0.994121885134452,0.993997050805429,0.994246719463476
0.01,0.994133416223768,0.993968375845576,0.99429845660196
0.005,0.994114147837362,0.993904798502068,0.994323497172655

# N = 30
# x,y,y_low,y_upper
0.1,0.998870990932842,0.998656385478313,0.999085596387372
0.0769230769230769,0.998864010377035,0.998630017890106,0.999098002863964
0.05,0.998769129093145,0.998505391594357,0.999032866591933
0.02,0.998811356433297,0.998610430537138,0.999012282329456
0.01,0.999109976476517,0.998919090831208,0.999300862121826
0.005,0.998696225095671,0.998446666956515,0.998945783234828

# N = 66
# x,y,y_low,y_upper
0.1,1.00083731602119,1.00064207717596,1.00103255486641
0.0769230769230769,1.00075019822464,1.00057553361543,1.00092486283385
0.05,1.00081936496819,1.00071312458764,1.00092560534873
0.02,1.00075637333798,1.00049886191251,1.00101388476346
0.01,1.00082294724024,1.00060371663893,1.00104217784155

# (d) rs = 10.0: Free energy from eta-ensemble in units of GDSMFB ('y'), as a function of 1/P.
# Markers with limits for the lower (y_low) and upper (y_upper) error bars

# N = 14: uncorrected data
# x,y,y_low,y_upper
0.125,0.993467913256984,0.993464651092986,0.993471175420982
0.1,0.991990934535704,0.991988666903959,0.991993202167448
0.0769230769230769,0.99085657145257,0.990852248638289,0.99086089426685
0.05,0.989816178592527,0.989811956663683,0.98982040052137
0.02,0.989095024900956,0.98909254354734,0.989097506254571
0.01,0.988970293042575,0.988964531639326,0.988976054445824
0.005,0.988942316855883,0.988933336817673,0.988951296894092

# N = 14
# x,y,y_low,y_upper
0.125,0.988827553761055,0.988824291597057,0.988830815925053
0.1,0.988849963007498,0.988847695375754,0.988852230639243
0.0769230769230769,0.988846107722143,0.988841784907862,0.988850430536423
0.05,0.988817008896962,0.988812786968118,0.988821230825805
0.02,0.988832472879179,0.988829991525563,0.988834954232794
0.01,0.988861869674428,0.988856108271179,0.988867631077677
0.005,0.988893818332495,0.988884838294285,0.988902798370704

# N = 30
# x,y,y_low,y_upper
0.125,0.987312906667355,0.987311002897048,0.987314810437663
0.1,0.987257878805002,0.987255997299741,0.987259760310262
0.0769230769230769,0.987241154866613,0.987238335062519,0.987243974670706
0.05,0.987180466200036,0.987178101170851,0.987182831229222
0.02,0.987176602154319,0.987174603949953,0.987178600358686
0.01,0.987227302056398,0.987224607471193,0.987229996641603
0.005,0.987207662255604,0.987202342519677,0.987212981991531

# N = 66
# x,y,y_low,y_upper
0.125,0.986077990498529,0.986075883394029,0.986080097603029
0.1,0.986062996378136,0.986059830837741,0.986066161918532
0.0769230769230769,0.985971383064401,0.985969928148047,0.985972837980756
0.05,0.985921138907303,0.985919181397191,0.985923096417416
0.02,0.985946224457285,0.985943161359468,0.985949287555101
0.01,0.985926698783861,0.985922164705096,0.985931232862626
0.005,0.986027332373569,0.98601847490892,0.986036189838219

# (e) rs = 10.0: Free energy from sign contribution in units of GDSMFB ('y'), as a function of 1/P.
# Markers with limits for the lower (y_low) and upper (y_upper) error bars

# N = 14: uncorrected data
# x,y,y_low,y_upper
0.125,-0.0113342548745456,-0.0113416262090487,-0.0113268835400425
0.1,-0.0111221147661737,-0.0111295133469096,-0.0111147161854378
0.0769230769230769,-0.0109403155611374,-0.0109481022569505,-0.0109325288653243
0.05,-0.0107687547789531,-0.010777533724634,-0.0107599758332721
0.02,-0.0106425705086144,-0.0106551325214396,-0.0106300084957891
0.01,-0.0106146174062792,-0.0106316299394285,-0.0105976048731299
0.005,-0.0106254258598839,-0.0106470663881586,-0.0106037853316092

# N = 14
# x,y,y_low,y_upper
0.125,-0.0105848750102848,-0.0105922463447879,-0.0105775036757816
0.1,-0.0105974952396022,-0.010604893820338,-0.0105900966588663
0.0769230769230769,-0.0105899344092212,-0.0105977211050343,-0.010582147713408
0.05,-0.0105813293805044,-0.0105901083261854,-0.0105725504348235
0.02,-0.0105855725967959,-0.0105981346096211,-0.0105730105839706
0.01,-0.0105891138249634,-0.0106061263581127,-0.0105721012918141
0.005,-0.0106134229128744,-0.0106350634411491,-0.0105917823845997

# N = 30
# x,y,y_low,y_upper
0.125,-0.0107271157577492,-0.0107404856411305,-0.010713745874368
0.1,-0.0107369945541779,-0.0107516224155156,-0.0107223666928402
0.0769230769230769,-0.0107341967208269,-0.0107477162072389,-0.010720677234415
0.05,-0.0107114595052492,-0.0107281708483154,-0.0106947481621831
0.02,-0.0107025313589047,-0.0107246665375197,-0.0106803961802897
0.01,-0.0107027431198828,-0.0107286678088395,-0.0106768184309262
0.005,-0.0107161234185669,-0.0107522196243178,-0.010680027212816

# N = 66
# x,y,y_low,y_upper
0.125,-0.0109315723080496,-0.010959028132756,-0.0109041164833432
0.1,-0.010901831623808,-0.0109298677370876,-0.0108737955105283
0.0769230769230769,-0.0109231997882356,-0.010949329703739,-0.0108970698727321
0.05,-0.0108818337030678,-0.0109118400007667,-0.0108518274053688
0.02,-0.0108713910683347,-0.0109141906634788,-0.0108285914731905
0.01,-0.0108617589941904,-0.0108819145590243,-0.0108416034293566
0.005,-0.0108386076864214,-0.0108770011794397,-0.0108002141934031

# (f) rs = 10.0: Free XC energy in units of GDSMFB ('y'), as a function of 1/P.
# Markers with limits for the lower (y_low) and upper (y_upper) error bars

# N = 14: uncorrected data
# x,y,y_low,y_upper
0.125,1.00134804043664,1.0013387121959,1.00135736867737
0.1,1.00008407436996,1.00007545728381,1.0000926914561
0.0769230769230769,0.999138652440983,0.99912893006973,0.999148374812235
0.05,0.998266374802007,0.998255633470987,0.998277116133027
0.02,0.997674560236491,0.997659828159,0.997689292313983
0.01,0.997583907207798,0.997563342021919,0.997604472393676
0.005,0.997536198503154,0.997509904658704,0.997562492347603

# N = 14
# x,y,y_low,y_upper
0.125,0.997478907413213,0.997469579172477,0.997488235653949
0.1,0.997487283719549,0.997478666633405,0.997495900805693
0.0769230769230769,0.997495096864923,0.997485374493671,0.997504819236176
0.05,0.997466495245129,0.997455753914109,0.99747723657615
0.02,0.997474252198139,0.997459520120648,0.997488984275631
0.01,0.997503693819355,0.997483128633476,0.997524259005233
0.005,0.997501076966615,0.997474783122166,0.997527370811065

# N = 30
# x,y,y_low,y_upper
0.125,0.99908478841424,0.999071007031155,0.999098569797324
0.1,0.999030095392555,0.999015099933495,0.999045090851616
0.0769230769230769,0.999019930852775,0.999005467675479,0.99903439403007
0.05,0.99897827294516,0.99896097264335,0.99899557324697
0.02,0.998980868355557,0.99895816179843,0.999003574912683
0.01,0.999033940767719,0.999007150128112,0.999060731407325
0.005,0.998998556057412,0.99896037376624,0.999036738348585

# N = 66
# x,y,y_low,y_upper
0.125,0.999768459864583,0.999740885931449,0.999796033797716
0.1,0.999784745297181,0.999756489504953,0.99981300108941
0.0769230769230769,0.999670323877832,0.999644088178551,0.999696559577112
0.05,0.999656932572778,0.999626775824029,0.999687089321528
0.02,0.999689901031794,0.999646872852332,0.999732929211255
0.01,0.99968199264822,0.9996585192368,0.99970546605964
0.005,0.999802596088905,0.999761594249119,0.999843597928691