ACES 1.0 config. 3D LUTs have resolution 33. 1D LUTs have resolution 1024
[OpenColorIO-Configs.git] / aces_1.0.0 / luts / V3 LogC_2000_to_linear.spi1d
index f8c0ff7..dcbfa04 100644 (file)
 Version 1
 From 0.000000 1.000000
-Length 4096
+Length 1024
 Components 1
 {
          -0.0182104073465
-         -0.00208979798481
-         -0.0020801355131
-         -0.00207044999115
-         -0.00206074118614
-         -0.00205100909807
-         -0.00204125372693
-         -0.0020314748399
-         -0.00202167243697
-         -0.00201184675097
-         -0.00200199731626
-         -0.00199212436564
-         -0.0019822276663
-         -0.00197230745107
-         -0.00196236325428
-         -0.00195239519235
-         -0.00194240326528
-         -0.00193238735665
-         -0.00192234746646
-         -0.0019122834783
-         -0.00190219539218
-         -0.00189208309166
-         -0.00188194646034
-         -0.00187178561464
-         -0.00186160032172
-         -0.00185139069799
-         -0.00184115651064
-         -0.00183089787606
-         -0.00182061456144
-         -0.00181030656677
-         -0.00179997389205
-         -0.00178961653728
-         -0.00177923415322
-         -0.00176882697269
-         -0.00175839487929
-         -0.00174793764018
-         -0.00173745548818
-         -0.00172694807407
-         -0.00171641551424
-         -0.00170585769229
-         -0.00169527449179
-         -0.00168466591276
-         -0.00167403195519
-         -0.00166337250266
-         -0.00165268743876
-         -0.00164197676349
-         -0.00163124047685
-         -0.00162047834601
-         -0.00160969048738
-         -0.00159887666814
-         -0.00158803700469
-         -0.00157717126422
-         -0.00156627944671
-         -0.00155536155216
-         -0.00154441758059
-         -0.00153344718274
-         -0.00152245059144
-         -0.00151142757386
-         -0.00150037813
-         -0.00148930225987
-         -0.00147819973063
-         -0.00146707065869
-         -0.00145591481123
-         -0.00144473230466
-         -0.00143352290615
-         -0.00142228673212
-         -0.00141102354974
-         -0.00139973324258
-         -0.00138841604348
-         -0.0013770716032
-         -0.00136569992173
-         -0.00135430099908
-         -0.00134287483525
-         -0.00133142119739
-         -0.00131994008552
-         -0.00130843138322
-         -0.00129689520691
-         -0.00128533132374
-         -0.00127373961732
-         -0.00126212020405
-         -0.00125047296751
-         -0.00123879767489
-         -0.00122709444258
-         -0.00121536315419
-         -0.0012036038097
-         -0.00119181617629
-         -0.00118000025395
-         -0.0011681560427
-         -0.0011562834261
-         -0.00114438228775
-         -0.00113245262764
-         -0.00112049432937
-         -0.00110850739293
-         -0.0010964917019
-         -0.00108444725629
-         -0.00107237382326
-         -0.00106027151924
-         -0.00104814022779
-         -0.00103597971611
-         -0.00102379010059
-         -0.00101157126483
-         -0.000999323092401
-         -0.000987045583315
-         -0.000974738621153
-         -0.000962402147707
-         -0.000950036104769
-         -0.000937640375923
-         -0.000925214961171
-         -0.000912759685889
-         -0.000900274608284
-         -0.000887759553734
-         -0.000875214464031
-         -0.000862639339175
-         -0.000850034062751
-         -0.000837398518343
-         -0.000824732647743
-         -0.000812036450952
-         -0.000799309811555
-         -0.000786552613135
-         -0.000773764855694
-         -0.000760946422815
-         -0.000748097256292
-         -0.000735217239708
-         -0.000722306373063
-         -0.000709364539944
-         -0.000696391623933
-         -0.000683387683239
-         -0.000670352485031
-         -0.000657286029309
-         -0.000644188316073
-         -0.000631059112493
-         -0.000617898418568
-         -0.000604706234299
-         -0.000591482385062
-         -0.000578226754442
-         -0.000564939400647
-         -0.000551620207261
-         -0.000538268999662
-         -0.000524885836057
-         -0.000511470541824
-         -0.000498023116961
-         -0.000484543386847
-         -0.000471031380584
-         -0.000457486952655
-         -0.000443910015747
-         -0.00043030056986
-         -0.000416658440372
-         -0.000402983627282
-         -0.000389276014175
-         -0.00037553551374
-         -0.000361762067769
-         -0.00034795558895
-         -0.000334116019076
-         -0.000320243241731
-         -0.000306337198708
-         -0.000292397802696
-         -0.000278424995486
-         -0.000264418660663
-         -0.00025037874002
-         -0.000236305160797
-         -0.000222197821131
-         -0.000208056662814
-         -0.000193881583982
-         -0.000179672511877
-         -0.000165429359186
-         -0.000151152053149
-         -0.000136840506457
-         -0.000122494646348
-         -0.000108114378236
-         -9.36996220844e-05
-         -7.92502978584e-05
-         -6.47663255222e-05
-         -5.02476177644e-05
-         -3.56940909114e-05
-         -2.11056649277e-05
-         -6.48225204714e-06
-         8.17622913019e-06
-         2.28698627325e-05
-         3.7598732888e-05
-         5.23629278177e-05
-         6.71625239193e-05
-         8.1997619418e-05
-         9.68682870734e-05
-         0.000111774614197
-         0.000126716695377
-         0.000141694603371
-         0.000156708425493
-         0.000171758263605
-         0.000186844190466
-         0.000201966293389
-         0.000217124659684
-         0.000232319376664
-         0.000247550546192
-         0.000262818211922
-         0.000278122519376
-         0.000293463526759
-         0.000308841321385
-         0.000324255990563
-         0.000339707621606
-         0.000355196301825
-         0.000370722147636
-         0.000386285217246
-         0.000401885597967
-         0.000417523406213
-         0.000433198700193
-         0.000448911596322
-         0.000464662152808
-         0.00048045051517
-         0.000496276712511
-         0.000512140861247
-         0.000528043077793
-         0.000543983420357
-         0.000559962005354
-         0.000575978890993
-         0.000592034193687
-         0.000608127971645
-         0.000624260399491
-         0.000640431477223
-         0.000656641321257
-         0.000672890048008
-         0.000689177773893
-         0.000705504557118
-         0.000721870455891
-         0.000738275644835
-         0.00075472012395
-         0.00077120406786
-         0.000787727534771
-         0.000804290641099
-         0.00082089350326
-         0.000837536121253
-         0.000854218669701
-         0.000870941206813
-         0.000887703849003
-         0.000904506712686
-         0.000921349856071
-         0.000938233395573
-         0.000955157447606
-         0.00097212207038
-         0.0009891273221
-         0.0010061734356
-         0.00102326041088
-         0.00104038836434
-         0.00105755741242
-         0.00107476755511
-         0.00109201902524
-         0.0011093118228
-         0.00112664618064
-         0.00114402198233
-         0.00116143957712
-         0.00117889884859
-         0.00119640002958
-         0.00121394323651
-         0.00123152846936
-         0.00124915584456
-         0.00126682547852
-         0.00128453748766
-         0.0013022919884
-         0.00132008909713
-         0.0013379289303
-         0.00135581148788
-         0.00137373688631
-         0.0013917053584
-         0.00140971678775
-         0.00142777152359
-         0.00144586956594
-         0.0014640110312
-         0.00148219591938
-         0.0015004244633
-         0.00151869666297
-         0.00153701275121
-         0.00155537272803
-         0.00157377670985
-         0.00159222481307
-         0.00161071727052
-         0.0016292539658
-         0.00164783513173
-         0.00166646088473
-         0.00168513134122
-         0.00170384650119
-         0.00172260659747
-         0.00174141163006
-         0.00176026183181
-         0.00177915720269
-         0.00179809785914
-         0.00181708391756
-         0.00183611561079
-         0.0018551928224
-         0.00187431590166
-         0.00189348473214
-         0.00191269966308
-         0.00193196057808
-         0.00195126770996
-         0.00197062105872
-         0.00199002097361
-         0.0020094672218
-         0.00202896026894
-         0.00204850011505
-         0.00206808652729
-         0.00208772020414
-         0.00210740091279
-         0.00212712865323
-         0.00214690389112
-         0.00216672639363
-         0.00218659662642
-         0.00220651435666
-         0.00222647981718
-         0.00224649324082
-         0.00226655462757
-         0.00228666421026
-         0.0023068219889
-         0.00232702796347
-         0.00234728259966
-         0.00236758566462
-         0.00238793739118
-         0.00240833801217
-         0.00242878776044
-         0.0024492861703
-         0.00246983394027
-         0.00249043107033
-         0.00251107732765
-         0.00253177341074
-         0.00255251885392
-         0.00257331412286
-         0.00259415921755
-         0.00261505437084
-         0.00263599981554
-         0.00265699531883
-         0.00267804111354
-         0.0026991374325
-         0.00272028427571
-         0.002741481876
-         0.0027627304662
-         0.00278402981348
-         0.00280538038351
-         0.00282678194344
-         0.00284823495895
-         0.00286973943003
-         0.00289129558951
-         0.00291290320456
-         0.00293456274085
-         0.00295627419837
-         0.00297803780995
-         0.0029998535756
-         0.00302172172815
-         0.00304364226758
-         0.00306561519392
-         0.00308764097281
-         0.00310971960425
-         0.00313185108826
-         0.00315403589047
-         0.00317627354525
-         0.00319856475107
-         0.00322090927511
-         0.00324330758303
-         0.003265759442
-         0.00328826508485
-         0.00331082497723
-         0.0033334386535
-         0.00335610681213
-         0.00337882922031
-         0.00340160611086
-         0.0034244377166
-         0.00344732380472
-         0.0034702650737
-         0.00349326129071
-         0.00351631245576
-         0.0035394190345
-         0.00356258125976
-         0.00358579866588
-         0.00360907195136
-         0.00363240111619
-         0.00365578592755
-         0.00367922708392
-         0.00370272435248
-         0.00372627796605
-         0.00374988815747
-         0.00377355492674
-         0.00379727850668
-         0.0038210588973
-         0.00384489633143
-         0.00386879080907
-         0.00389274279587
-         0.00391675205901
-         0.00394081883132
-         0.00396494334564
-         0.00398912606761
-         0.00401336653158
-         0.00403766520321
-         0.00406202208251
-         0.00408643716946
-         0.00411091092974
-         0.004135443829
-         0.00416003493592
-         0.00418468518183
-         0.00420939503238
-         0.00423416355625
-         0.00425899168476
-         0.00428387941793
-         0.00430882675573
-         0.00433383369818
-         0.00435890071094
-         0.00438402825966
-         0.00440921541303
-         0.00443446356803
-         0.00445977179334
-         0.00448514102027
-         0.00451057124883
-         0.00453606201336
-         0.00456161424518
-         0.00458722747862
-         0.00461290217936
-         0.00463863881305
-         0.00466443691403
-         0.00469029694796
-         0.00471621891484
-         0.00474220281467
-         0.00476824911311
-         0.00479435827583
-         0.00482052983716
-         0.0048467637971
-         0.00487306108698
-         0.00489942124113
-         0.00492584472522
-         0.0049523320049
-         0.00497888214886
-         0.00500549608842
-         0.00503217382357
-         0.00505891581997
-         0.00508572207764
-         0.0051125921309
-         0.00513952691108
-         0.00516652595252
-         0.00519359018654
-         0.00522071914747
-         0.00524791283533
-         0.00527517218143
-         0.00530249672011
-         0.00532988691702
-         0.00535734277219
-         0.00538486428559
-         0.00541245192289
-         0.0054401056841
-         0.00546782603487
-         0.00549561250955
-         0.00552346557379
-         0.00555138569325
-         0.00557937286794
-         0.0056074266322
-         0.005635548383
-         0.00566373718902
-         0.00569199351594
-         0.00572031736374
-         0.00574870966375
-         0.00577716995031
-         0.00580569822341
-         0.00583429494873
-         0.00586296059191
-         0.00589169468731
-         0.00592049770057
-         0.00594937009737
-         0.00597831141204
-         0.00600732211024
-         0.00603640265763
-         0.00606555258855
-         0.00609477283433
-         0.0061240629293
-         0.00615342287347
-         0.00618285359815
-         0.00621235510334
-         0.00624192738906
-         0.00627156998962
-         0.00630128430203
-         0.00633106939495
-         0.0063609261997
-         0.0063908547163
-         0.00642085494474
-         0.00645092688501
-         0.00648107100278
-         0.00651128776371
-         0.00654157670215
-         0.00657193828374
-         0.0066023725085
-         0.00663287984207
-         0.00666346028447
-         0.00669411430135
-         0.00672484189272
-         0.00675564259291
-         0.0067865177989
-         0.00681746657938
-         0.00684848986566
-         0.00687958765775
-         0.00691075948998
-         0.00694200675935
-         0.00697332853451
-         0.00700472528115
-         0.00703619746491
-         0.00706774555147
-         0.00709936907515
-         0.00713106803596
-         0.00716284336522
-         0.00719469459727
-         0.00722662266344
-         0.00725862709805
-         0.00729070836678
-         0.00732286646962
-         0.00735510140657
-         0.00738741410896
-         0.00741980411112
-         0.00745227187872
-         0.00748481741175
-         0.00751744071022
-         0.00755014270544
-         0.00758292293176
-         0.00761578185484
-         0.00764871947467
-         0.00768173625693
-         0.0077148322016
-         0.00774800730869
-         0.00778126204386
-         0.00781459640712
-         0.00784801132977
-         0.00788150541484
-         0.00791508052498
-         0.00794873572886
-         0.0079824719578
-         0.00801628921181
-         0.00805018749088
-         0.00808416679502
-         0.00811822712421
-         0.00815237034112
-         0.00818659458309
-         0.00822090078145
-         0.00825528986752
-         0.00828976090997
-         0.00832431484014
-         0.00835895165801
-         0.00839367229491
-         0.00842847488821
-         0.00846336130053
-         0.00849833153188
-         0.00853338651359
-         0.00856852438301
-         0.00860374700278
-         0.00863905344158
-         0.00867444556206
-         0.00870992150158
-         0.00874548312277
-         0.00878113042563
-         0.00881686247885
-         0.00885268021375
-         0.00888858456165
-         0.00892457459122
-         0.00896065030247
-         0.00899681355804
-         0.00903306342661
-         0.00906939990819
-         0.00910582300276
-         0.00914233457297
-         0.00917893275619
-         0.00921561941504
-         0.00925239361823
-         0.00928925629705
-         0.0093262065202
-         0.00936324615031
-         0.00940037425607
-         0.0094375917688
-         0.0094748986885
-         0.00951229501516
-         0.00954978074878
-         0.00958735588938
-         0.00962502136827
-         0.00966277811676
-         0.00970062427223
-         0.0097385616973
-         0.00977659039199
-         0.00981470942497
-         0.00985292065889
-         0.00989122316241
-         0.00992961786687
-         0.00996810477227
-         0.0100066829473
-         0.0100453542545
-         0.0100841186941
-         0.0101229753345
-         0.0101619260386
-         0.0102009698749
-         0.0102401068434
-         0.0102793378755
-         0.0103186629713
-         0.0103580830619
-         0.0103975972161
-         0.0104372054338
-         0.0104769095778
-         0.0105167087168
-         0.0105566028506
-         0.0105965929106
-         0.0106366788968
-         0.0106768617406
-         0.0107171395794
-         0.0107575152069
-         0.0107979867607
-         0.0108385561034
-         0.0108792223036
-         0.0109199862927
-         0.0109608480707
-         0.0110018076375
-         0.0110428649932
-         0.0110840210691
-         0.0111252758652
-         0.0111666303128
-         0.0112080834806
-         0.0112496353686
-         0.0112912878394
-         0.0113330399618
-         0.0113748917356
-         0.0114168440923
-         0.0114588979632
-         0.0115010514855
-         0.0115433065221
-         0.0115856630728
-         0.0116281211376
-         0.0116706807166
-         0.0117133427411
-         0.0117561072111
-         0.0117989731953
-         0.0118419425562
-         0.011885015294
-         0.0119281914085
-         0.0119714708999
-         0.0120148537681
-         0.0120583409443
-         0.0121019324288
-         0.0121456291527
-         0.0121894292533
-         0.0122333355248
-         0.0122773470357
-         0.0123214628547
-         0.0123656857759
-         0.0124100139365
-         0.0124544491991
-         0.0124989906326
-         0.0125436391681
-         0.0125883938745
-         0.0126332566142
-         0.0126782273874
-         0.0127233052626
-         0.0127684911713
-         0.0128137860447
-         0.0128591889516
-         0.0129047008231
-         0.0129503225908
-         0.0129960523918
-         0.0130418930203
-         0.0130878435448
-         0.0131339039654
-         0.013180074282
-         0.0132263563573
-         0.0132727483287
-         0.0133192520589
-         0.0133658675477
-         0.0134125947952
-         0.0134594338015
-         0.0135063854977
-         0.0135534498841
-         0.0136006269604
-         0.0136479167268
-         0.0136953201145
-         0.0137428371236
-         0.0137904686853
-         0.0138382138684
-         0.0138860736042
-         0.013934048824
-         0.0139821385965
-         0.0140303429216
-         0.0140786636621
-         0.0141271008179
-         0.0141756534576
-         0.0142243225127
-         0.0142731079832
-         0.0143220108002
-         0.014371030964
-         0.0144201684743
-         0.0144694242626
-         0.0145187973976
-         0.0145682897419
-         0.0146179003641
-         0.0146676301956
-         0.0147174792364
-         0.0147674474865
-         0.0148175358772
-         0.0148677444085
-         0.0149180730805
-         0.014968521893
-         0.0150190927088
-         0.0150697845966
-         0.0151205975562
-         0.0151715334505
-         0.0152225904167
-         0.0152737703174
-         0.0153250731528
-         0.0153764979914
-         0.0154280476272
-         0.0154797192663
-         0.0155315157026
-         0.0155834369361
-         0.0156354811043
-         0.0156876519322
-         0.0157399475574
-         0.0157923679799
-         0.0158449131995
-         0.0158975850791
-         0.0159503836185
-         0.0160033088177
-         0.0160563606769
-         0.0161095410585
-         0.0161628481001
-         0.0162162818015
-         0.016269845888
-         0.0163235366344
-         0.0163773559034
-         0.0164313055575
-         0.0164853837341
-         0.0165395922959
-         0.0165939293802
-         0.0166483987123
-         0.0167029984295
-         0.0167577266693
-         0.0168125890195
-         0.0168675817549
-         0.0169227067381
-         0.0169779639691
-         0.0170333534479
-         0.0170888751745
-         0.0171445310116
-         0.0172003190964
-         0.0172562412918
-         0.0173122975975
-         0.0173684898764
-         0.0174248162657
-         0.0174812767655
-         0.0175378732383
-         0.0175946056843
-         0.0176514741033
-         0.0177084784955
-         0.0177656188607
-         0.0178228970617
-         0.0178803130984
-         0.0179378669709
-         0.0179955586791
-         0.0180533882231
-         0.0181113556027
-         0.0181694626808
-         0.0182277094573
-         0.0182860959321
-         0.018344623968
-         0.0184032898396
-         0.0184620972723
-         0.018521046266
-         0.0185801368207
-         0.0186393670738
-         0.0186987407506
-         0.018758257851
-         0.0188179165125
-         0.0188777185977
-         0.0189376622438
-         0.018997753039
-         0.0190579853952
-         0.0191183630377
-         0.0191788859665
-         0.019239552319
-         0.0193003658205
-         0.0193613246083
-         0.0194224286824
-         0.0194836817682
-         0.0195450801402
-         0.0196066256613
-         0.0196683183312
-         0.0197301600128
-         0.0197921488434
-         0.0198542866856
-         0.019916575402
-         0.0199790112674
-         0.0200415980071
-         0.0201043337584
-         0.0201672203839
-         0.0202302578837
-         0.0202934481204
-         0.0203567873687
-         0.0204202793539
-         0.020483924076
-         0.020547721535
-         0.0206116717309
-         0.0206757746637
-         0.020740032196
-         0.020804444328
-         0.0208690091968
-         0.0209337305278
-         0.0209986064583
-         0.0210636369884
-         0.0211288239807
-         0.0211941692978
-         0.0212596692145
-         0.0213253255934
-         0.0213911421597
-         0.0214571133256
-         0.021523244679
-         0.0215895343572
-         0.0216559842229
-         0.0217225905508
-         0.0217893589288
-         0.0218562874943
-         0.0219233743846
-         0.0219906233251
-         0.0220580343157
-         0.0221256073564
-         0.0221933405846
-         0.0222612377256
-         0.0223292969167
-         0.0223975200206
-         0.0224659051746
-         0.022534456104
-         0.0226031709462
-         0.0226720497012
-         0.0227410942316
-         0.0228103045374
-         0.0228796806186
-         0.0229492224753
-         0.02301893197
-         0.0230888091028
-         0.023158852011
-         0.0232290644199
-         0.0232994444668
-         0.0233699940145
-         0.0234407130629
-         0.0235115997493
-         0.0235826577991
-         0.0236538872123
-         0.0237252861261
-         0.0237968564034
-         0.0238685980439
-         0.0239405129105
-         0.0240125991404
-         0.0240848585963
-         0.0241572912782
-         0.0242298971862
-         0.0243026781827
-         0.0243756324053
-         0.0244487617165
-         0.024522067979
-         0.0245955493301
-         0.0246692057699
-         0.0247430410236
-         0.024817051366
-         0.0248912405223
-         0.0249656066298
-         0.0250401515514
-         0.0251148752868
-         0.0251897778362
-         0.0252648610622
-         0.0253401231021
-         0.0254155658185
-         0.0254911892116
-         0.0255669951439
-         0.0256429817528
-         0.0257191509008
-         0.0257955025882
-         0.0258720386773
-         0.0259487573057
-         0.0260256584734
-         0.0261027459055
-         0.0261800177395
-         0.0262574739754
-         0.0263351183385
-         0.0264129471034
-         0.0264909621328
-         0.0265691652894
-         0.0266475565732
-         0.0267261341214
-         0.0268049016595
-         0.0268838573247
-         0.0269630011171
-         0.027042336762
-         0.0271218623966
-         0.027201578021
-         0.0272814836353
-         0.0273615829647
-         0.0274418741465
-         0.0275223571807
-         0.0276030320674
-         0.0276839025319
-         0.0277649667114
-         0.027846224606
-         0.0279276780784
-         0.0280093252659
-         0.0280911698937
-         0.0281732100993
-         0.0282554477453
-         0.028337880969
-         0.0284205134958
-         0.0285033434629
-         0.0285863727331
-         0.0286695994437
-         0.0287530273199
-         0.0288366544992
-         0.0289204828441
-         0.0290045123547
-         0.029088743031
-         0.029173174873
-         0.0292578097433
-         0.0293426495045
-         0.0294276904315
-         0.0295129362494
-         0.0295983850956
-         0.0296840406954
-         0.0297699011862
-         0.029855966568
-         0.0299422387034
-         0.030028719455
-         0.0301154050976
-         0.0302023012191
-         0.0302894040942
-         0.0303767155856
-         0.0304642375559
-         0.0305519681424
-         0.0306399092078
-         0.0307280626148
-         0.0308164265007
-         0.0309050027281
-         0.0309937894344
-         0.0310827922076
-         0.0311720054597
-         0.0312614329159
-         0.0313510783017
-         0.031440936029
-         0.0315310098231
-         0.031621299684
-         0.0317118056118
-         0.0318025276065
-         0.0318934693933
-         0.0319846272469
-         0.0320760048926
-         0.0321676023304
-         0.0322594158351
-         0.0323514528573
-         0.0324437096715
-         0.0325361900032
-         0.0326288901269
-         0.0327218100429
-         0.0328149572015
-         0.0329083241522
-         0.0330019183457
-         0.0330957360566
-         0.0331897772849
-         0.0332840420306
-         0.0333785377443
-         0.0334732569754
-         0.0335682034492
-         0.0336633808911
-         0.0337587818503
-         0.0338544137776
-         0.0339502766728
-         0.0340463668108
-         0.0341426879168
-         0.0342392399907
-         0.034336026758
-         0.0344330407679
-         0.0345302894711
-         0.0346277728677
-         0.0347254909575
-         0.0348234400153
-         0.0349216237664
-         0.0350200459361
-         0.0351187027991
-         0.0352175943553
-         0.0353167243302
-         0.0354160927236
-         0.0355156995356
-         0.0356155447662
-         0.0357156321406
-         0.0358159542084
-         0.0359165221453
-         0.0360173285007
-         0.0361183770001
-         0.0362196676433
-         0.0363212004304
-         0.0364229753613
-         0.0365249961615
-         0.0366272628307
-         0.0367297753692
-         0.0368325300515
-         0.0369355343282
-         0.0370387844741
-         0.0371422842145
-         0.037246029824
-         0.037350025028
-         0.0374542661011
-         0.037558760494
-         0.0376635082066
-         0.0377685017884
-         0.0378737524152
-         0.0379792526364
-         0.0380850061774
-         0.0381910093129
-         0.0382972732186
-         0.0384037867188
-         0.0385105609894
-         0.0386175885797
-         0.0387248694897
-         0.03883241117
-         0.0389402098954
-         0.0390482693911
-         0.0391565859318
-         0.0392651632428
-         0.0393740013242
-         0.0394830964506
-         0.0395924560726
-         0.0397020801902
-         0.0398119650781
-         0.0399221107364
-         0.0400325246155
-         0.0401432029903
-         0.0402541458607
-         0.0403653532267
-         0.0404768288136
-         0.0405885726213
-         0.0407005809247
-         0.0408128611743
-         0.0409254096448
-         0.0410382300615
-         0.0411513186991
-         0.0412646792829
-         0.0413783118129
-         0.041492216289
-         0.0416063927114
-         0.0417208448052
-         0.0418355688453
-         0.0419505722821
-         0.0420658476651
-         0.0421814024448
-         0.0422972328961
-         0.0424133427441
-         0.0425297282636
-         0.0426463931799
-         0.0427633374929
-         0.0428805649281
-         0.0429980717599
-         0.0431158617139
-         0.0432339347899
-         0.0433522872627
-         0.0434709265828
-         0.043589849025
-         0.0437090583146
-         0.0438285507262
-         0.0439483337104
-         0.0440683998168
-         0.0441887564957
-         0.044309400022
-         0.044430334121
-         0.0445515587926
-         0.0446730703115
-         0.0447948798537
-         0.0449169762433
-         0.0450393669307
-         0.0451620519161
-         0.0452850311995
-         0.0454083047807
-         0.0455318726599
-         0.0456557385623
-         0.0457798987627
-         0.0459043607116
-         0.0460291206837
-         0.046154178679
-         0.0462795346975
-         0.0464051924646
-         0.0465311519802
-         0.0466574132442
-         0.0467839799821
-         0.0469108484685
-         0.0470380187035
-         0.0471654981375
-         0.04729327932
-         0.0474213697016
-         0.0475497655571
-         0.0476784706116
-         0.0478074848652
-         0.0479368083179
-         0.0480664409697
-         0.0481963828206
-         0.0483266375959
-         0.0484572052956
-         0.0485880859196
-         0.0487192794681
-         0.0488507896662
-         0.048982616514
-         0.0491147562861
-         0.049247212708
-         0.0493799895048
-         0.0495130829513
-         0.0496464967728
-         0.0497802272439
-         0.0499142818153
-         0.0500486567616
-         0.050183352083
-         0.0503183752298
-         0.0504537187517
-         0.0505893863738
-         0.0507253818214
-         0.0508617013693
-         0.0509983487427
-         0.0511353239417
-         0.0512726269662
-         0.0514102578163
-         0.0515482202172
-         0.051686514169
-         0.0518251396716
-         0.051964096725
-         0.0521033890545
-         0.0522430129349
-         0.0523829720914
-         0.0525232665241
-         0.0526638999581
-         0.0528048686683
-         0.0529461763799
-         0.0530878193676
-         0.0532298050821
-         0.0533721335232
-         0.0535148009658
-         0.0536578111351
-         0.0538011603057
-         0.0539448596537
-         0.0540888980031
-         0.0542332865298
-         0.0543780177832
-         0.0545230954885
-         0.0546685233712
-         0.0548143014312
-         0.0549604259431
-         0.0551069043577
-         0.0552537292242
-         0.0554009117186
-         0.0555484443903
-         0.0556963309646
-         0.0558445714414
-         0.0559931658208
-         0.0561421215534
-         0.0562914311886
-         0.0564410984516
-         0.0565911270678
-         0.0567415133119
-         0.0568922609091
-         0.0570433698595
-         0.057194840163
-         0.057346675545
-         0.0574988760054
-         0.057651437819
-         0.0578043684363
-         0.0579576641321
-         0.0581113286316
-         0.0582653619349
-         0.0584197640419
-         0.0585745349526
-         0.0587296783924
-         0.0588851943612
-         0.059041082859
-         0.0591973438859
-         0.0593539811671
-         0.0595109947026
-         0.0596683844924
-         0.0598261505365
-         0.0599842965603
-         0.0601428188384
-         0.0603017248213
-         0.0604610107839
-         0.0606206767261
-         0.0607807263732
-         0.0609411597252
-         0.0611019805074
-         0.0612631849945
-         0.0614247769117
-         0.0615867562592
-         0.0617491230369
-         0.0619118772447
-         0.0620750263333
-         0.0622385628521
-         0.0624024942517
-         0.0625668168068
-         0.0627315342426
-         0.0628966465592
-         0.0630621537566
-         0.0632280632854
-         0.0633943602443
-         0.0635610669851
-         0.0637281686068
-         0.0638956725597
-         0.0640635713935
-         0.0642318800092
-         0.0644005909562
-         0.0645697042346
-         0.0647392272949
-         0.0649091526866
-         0.0650794878602
-         0.0652502328157
-         0.0654213875532
-         0.065592944622
-         0.0657649189234
-         0.0659373104572
-         0.066110111773
-         0.0662833228707
-         0.066456951201
-         0.0666310042143
-         0.0668054670095
-         0.0669803470373
-         0.0671556517482
-         0.0673313736916
-         0.0675075128675
-         0.0676840767264
-         0.0678610727191
-         0.0680384859443
-         0.0682163238525
-         0.0683945864439
-         0.0685732811689
-         0.0687524005771
-         0.0689319521189
-         0.0691119357944
-         0.0692923516035
-         0.0694731920958
-         0.0696544721723
-         0.069836191833
-         0.0700183436275
-         0.0702009275556
-         0.0703839510679
-         0.0705674141645
-         0.0707513168454
-         0.0709356665611
-         0.0711204558611
-         0.0713056847453
-         0.0714913532138
-         0.0716774761677
-         0.0718640387058
-         0.0720510557294
-         0.0722385197878
-         0.072426430881
-         0.0726147890091
-         0.0728036016226
-         0.0729928687215
-         0.0731825903058
-         0.0733727663755
-         0.0735633969307
-         0.0737544894218
-         0.0739460363984
-         0.0741380378604
-         0.074330508709
-         0.0745234340429
-         0.0747168287635
-         0.0749106779695
-         0.0751050040126
-         0.0752997845411
-         0.0754950419068
-         0.0756907612085
-         0.0758869498968
-         0.0760836154222
-         0.0762807428837
-         0.0764783471823
-         0.076676428318
-         0.0768749862909
-         0.0770740136504
-         0.0772735178471
-         0.0774735063314
-         0.077673971653
-         0.0778749212623
-         0.0780763477087
-         0.0782782584429
-         0.0784806534648
-         0.0786835327744
-         0.0788869038224
-         0.0790907591581
-         0.0792950987816
-         0.0794999375939
-         0.079705260694
-         0.0799110755324
-         0.0801173895597
-         0.0803241953254
-         0.0805315002799
-         0.0807392969728
-         0.0809475928545
-         0.0811563879251
-         0.0813656896353
-         0.0815754905343
-         0.0817857906222
-         0.0819965973496
-         0.0822079107165
-         0.0824197307229
-         0.0826320573688
-         0.0828448906541
-         0.0830582380295
-         0.0832720994949
-         0.0834864675999
-         0.0837013572454
-         0.0839167535305
-         0.0841326713562
-         0.0843491107225
-         0.0845660641789
-         0.084783539176
-         0.0850015357137
-         0.085220053792
-         0.085439093411
-         0.0856586620212
-         0.0858787596226
-         0.0860993787646
-         0.0863205343485
-         0.086542211473
-         0.0867644250393
-         0.0869871750474
-         0.0872104540467
-         0.0874342694879
-         0.0876586213708
-         0.0878835171461
-         0.0881089419127
-         0.0883349180222
-         0.0885614305735
-         0.0887884870172
-         0.0890160873532
-         0.0892442315817
-         0.0894729271531
-         0.0897021666169
-         0.0899319574237
-         0.0901622995734
-         0.0903931930661
-         0.0906246453524
-         0.0908566489816
-         0.0910892114043
-         0.09132232517
-         0.0915560051799
-         0.0917902439833
-         0.0920250415802
-         0.0922603979707
-         0.0924963280559
-         0.0927328169346
-         0.092969879508
-         0.0932075083256
-         0.0934457033873
-         0.0936844721437
-         0.0939238145947
-         0.0941637307405
-         0.0944042205811
-         0.0946452915668
-         0.0948869362473
-         0.0951291620731
-         0.0953719690442
-         0.0956153571606
-         0.0958593264222
-         0.0961038842797
-         0.0963490307331
-         0.0965947583318
-         0.0968410819769
-         0.0970879942179
-         0.0973354950547
-         0.097583591938
-         0.0978322848678
-         0.098081573844
-         0.0983314588666
-         0.0985819473863
-         0.0988330319524
-         0.0990847200155
-         0.0993370115757
+         -0.0020607127808
+         -0.0020216149278
+         -0.00198214058764
+         -0.00194228591863
+         -0.00190204731189
+         -0.00186142092571
+         -0.00182040326763
+         -0.00177899037953
+         -0.00173717841972
+         -0.0016949637793
+         -0.00165234238375
+         -0.00160931027494
+         -0.00156586372759
+         -0.00152199855074
+         -0.00147771078628
+         -0.00143299635965
+         -0.00138785107993
+         -0.00134227087256
+         -0.00129625166301
+         -0.00124978891108
+         -0.00120287865866
+         -0.00115551636554
+         -0.00110769784078
+         -0.00105941866059
+         -0.00101067428477
+         -0.000961460347753
+         -0.000911772251129
+         -0.000861605454702
+         -0.000810955301858
+         -0.000759817252401
+         -0.000708186475094
+         -0.000656058255117
+         -0.00060342787765
+         -0.000550290453248
+         -0.00049664103426
+         -0.000442474789452
+         -0.000387786683859
+         -0.000332571711624
+         -0.000276824779576
+         -0.000220540794544
+         -0.000163714546943
+         -0.000106340812636
+         -4.84143420181e-05
+         1.00702045529e-05
+         6.91181994625e-05
+         0.000128735075123
+         0.000188926307601
+         0.000249697448453
+         0.00031105405651
+         0.000373001792468
+         0.000435546331573
+         0.000498693436384
+         0.000562448927667
+         0.000626818626188
+         0.000691808469128
+         0.000757424451876
+         0.00082367262803
+         0.000890558992978
+         0.00095808977494
+         0.00102627114393
+         0.00109510938637
+         0.0011646108469
+         0.00123478192836
+         0.0013056290336
+         0.00137715868186
+         0.00144937739242
+         0.00152229191735
+         0.00159590900876
+         0.00167023518588
+         0.00174527755007
+         0.00182104285341
+         0.00189753808081
+         0.00197477033362
+         0.00205274648033
+         0.00213147397153
+         0.00221096002497
+         0.00229121162556
+         0.00237223668955
+         0.00245404220186
+         0.0025366358459
+         0.00262002530508
+         0.00270421802998
+         0.00278922193684
+         0.00287504470907
+         0.00296169426292
+         0.00304917874746
+         0.00313750607893
+         0.0032266844064
+         0.00331672187895
+         0.00340762664564
+         0.00349940732121
+         0.00359207228757
+         0.00368562992662
+         0.00378008885309
+         0.00387545791455
+         0.00397174572572
+         0.00406896136701
+         0.00416711345315
+         0.0042662108317
+         0.00436626328155
+         0.00446727965027
+         0.00456926925108
+         0.0046722413972
+         0.00477620540187
+         0.00488117104396
+         0.00498714810237
+         0.00509414635599
+         0.00520217511803
+         0.00531124509871
+         0.00542136514559
+         0.00553254690021
+         0.00564479921013
+         0.00575813325122
+         0.00587255926803
+         0.0059880875051
+         0.00610472867265
+         0.00622249348089
+         0.00634139310569
+         0.00646143825725
+         0.00658263964579
+         0.00670500891283
+         0.00682855723426
+         0.00695329578593
+         0.00707923620939
+         0.0072063896805
+         0.00733476830646
+         0.0074643837288
+         0.00759524805471
+         0.00772737292573
+         0.00786077044904
+         0.00799545366317
+         0.00813143420964
+         0.00826872512698
+         0.00840733852237
+         0.00854728743434
+         0.00868858397007
+         0.0088312420994
+         0.00897527486086
+         0.00912069529295
+         0.00926751643419
+         0.00941575318575
+         0.00956541672349
+         0.0097165228799
+         0.00986908469349
+         0.0100231161341
+         0.0101786311716
+         0.0103356447071
+         0.0104941716418
+         0.0106542250142
+         0.0108158206567
+         0.0109789734706
+         0.0111436974257
+         0.0113100083545
+         0.0114779220894
+         0.0116474535316
+         0.0118186185136
+         0.0119914319366
+         0.0121659105644
+         0.0123420702294
+         0.0125199267641
+         0.0126994969323
+         0.0128807965666
+         0.013063843362
+         0.0132486540824
+         0.0134352445602
+         0.013623633422
+         0.0138138374314
+         0.0140058733523
+         0.0141997588798
+         0.0143955126405
+         0.0145931523293
+         0.0147926965728
+         0.0149941630661
+         0.0151975704357
+         0.015402937308
+         0.0156102832407
+         0.015819625929
+         0.016030985862
+         0.0162443835288
+         0.0164598356932
+         0.0166773628443
+         0.0168969873339
+         0.0171187259257
+         0.0173426009715
+         0.017568634823
+         0.017796844244
+         0.018027253449
+         0.0182598829269
+         0.018494753167
+         0.0187318846583
+         0.0189713016152
+         0.0192130263895
+         0.0194570794702
+         0.019703483209
+         0.0199522599578
+         0.0202034357935
+         0.0204570293427
+         0.0207130666822
+         0.0209715720266
+         0.0212325658649
+         0.0214960761368
+         0.0217621233314
+         0.0220307353884
+         0.0223019327968
+         0.0225757453591
+         0.0228521954268
+         0.0231313072145
+         0.0234131105244
+         0.0236976277083
+         0.0239848848432
+         0.0242749098688
+         0.0245677307248
+         0.0248633716255
+         0.0251618605107
+         0.02546322532
+         0.025767493993
+         0.0260746926069
+         0.0263848528266
+         0.0266979988664
+         0.0270141642541
+         0.0273333732039
+         0.0276556592435
+         0.0279810503125
+         0.0283095743507
+         0.0286412648857
+         0.0289761517197
+         0.0293142646551
+         0.0296556334943
+         0.0300002917647
+         0.0303482711315
+         0.0306996032596
+         0.0310543198138
+         0.0314124524593
+         0.0317740365863
+         0.0321391038597
+         0.0325076878071
+         0.0328798256814
+         0.0332555472851
+         0.0336348861456
+         0.0340178832412
+         0.0344045683742
+         0.0347949787974
+         0.0351891517639
+         0.0355871208012
+         0.0359889231622
+         0.0363945960999
+         0.0368041805923
+         0.0372177101672
+         0.0376352220774
+         0.0380567573011
+         0.0384823530912
+         0.038912050426
+         0.0393458865583
+         0.0397839024663
+         0.0402261391282
+         0.0406726375222
+         0.0411234349012
+         0.0415785759687
+         0.0420381017029
+         0.0425020568073
+         0.0429704785347
+         0.043443415314
+         0.0439209081233
+         0.0444030016661
+         0.0448897369206
+         0.0453811660409
+         0.0458773262799
+         0.0463782660663
+         0.046884033829
+         0.0473946742713
+         0.0479102358222
+         0.0484307594597
+         0.0489563010633
+         0.0494869053364
+         0.050022624433
+         0.0505635030568
+         0.0511095896363
+         0.0516609400511
+         0.0522176027298
+         0.0527796261013
+         0.0533470660448
+         0.0539199709892
+         0.0544983968139
+         0.0550823956728
+         0.0556720197201
+         0.0562673248351
+         0.0568683631718
+         0.057475194335
+         0.0580878704786
+         0.0587064512074
+         0.0593309924006
+         0.0599615462124
+         0.060598179698
+         0.0612409450114
+         0.0618899017572
+         0.0625451058149
+         0.063206627965
+         0.063874527812
+         0.0645488575101
+         0.0652296841145
+         0.0659170672297
+         0.0666110739112
+         0.067311771214
+         0.0680192112923
+         0.0687334686518
+         0.0694546103477
+         0.0701827034354
+         0.0709178075194
+         0.071659989655
+         0.072409324348
+         0.0731658861041
+         0.0739297270775
+         0.0747009292245
+         0.0754795596004
+         0.0762657001615
+         0.0770594030619
+         0.0778607577085
+         0.0786698386073
+         0.0794867053628
+         0.080311447382
+         0.0811441317201
+         0.0819848403335
+         0.082833647728
+         0.0836906284094
+         0.0845558717847
+         0.0854294523597
+         0.0863114446402
+         0.0872019305825
+         0.0881009995937
+         0.0890087336302
+         0.0899252146482
+         0.0908505171537
+         0.0917847380042
+         0.092727959156
+         0.0936802700162
+         0.0946417525411
+         0.0956124961376
+         0.0965925976634
+         0.0975821390748
+         0.0985812097788
          0.0995899140835
-         0.0998434126377
-         0.10009752959
-         0.10035225004
-         0.100607581437
-         0.100863523781
-         0.101120084524
-         0.101377256215
-         0.101635046303
-         0.10189345479
-         0.102152481675
-         0.102412126958
-         0.10267239809
-         0.102933295071
-         0.103194817901
-         0.103456966579
-         0.103719748557
-         0.103983156383
-         0.104247190058
-         0.104511864483
-         0.104777172208
-         0.105043113232
-         0.105309695005
-         0.105576917529
-         0.105844780803
-         0.106113284826
-         0.1063824296
-         0.106652222574
-         0.106922663748
-         0.107193753123
-         0.107465490699
-         0.107737876475
-         0.108010925353
-         0.108284622431
-         0.10855897516
-         0.108833990991
-         0.109109662473
-         0.109385997057
-         0.109662987292
-         0.109940648079
-         0.110218979418
-         0.110497966409
-         0.110777631402
-         0.111057966948
-         0.111338973045
-         0.111620649695
-         0.111903004348
-         0.112186037004
-         0.112469747663
-         0.112754136324
-         0.113039210439
-         0.113324970007
-         0.113611415029
-         0.113898538053
-         0.114186361432
-         0.114474862814
-         0.11476406455
-         0.115053959191
-         0.115344546735
-         0.115635834634
-         0.115927815437
-         0.116220504045
-         0.116513885558
-         0.116807974875
-         0.117102771997
-         0.117398276925
-         0.117694482207
-         0.117991402745
-         0.118289038539
-         0.118587382138
-         0.118886448443
-         0.119186222553
-         0.11948672682
-         0.119787938893
-         0.120089881122
-         0.120392546058
-         0.12069594115
-         0.121000058949
-         0.121304906905
-         0.121610485017
-         0.121916800737
-         0.122223846614
-         0.122531630099
-         0.12284014374
-         0.12314940989
-         0.123459413648
-         0.123770155013
-         0.124081648886
-         0.124393887818
-         0.124706871808
-         0.125020608306
-         0.125335097313
-         0.125650346279
-         0.125966340303
-         0.126283094287
-         0.126600623131
-         0.126918897033
-         0.127237945795
-         0.127557739615
-         0.127878323197
-         0.128199666739
-         0.128521770239
-         0.128844663501
-         0.129168316722
-         0.129492759705
-         0.129817977548
-         0.130143970251
-         0.130470752716
-         0.130798310041
-         0.131126657128
-         0.131455779076
-         0.131785705686
-         0.132116422057
-         0.13244792819
-         0.132780224085
-         0.133113324642
-         0.133447229862
-         0.133781924844
-         0.134117424488
-         0.134453728795
-         0.134790837765
-         0.135128751397
-         0.135467484593
-         0.135807037354
-         0.136147394776
-         0.136488556862
-         0.136830553412
-         0.137173369527
-         0.137517005205
-         0.137861460447
-         0.138206735253
-         0.138552859426
-         0.13889978826
-         0.139247566462
-         0.139596179128
-         0.139945626259
-         0.140295907855
-         0.140647023916
-         0.140998989344
-         0.141351789236
-         0.141705453396
-         0.142059952021
-         0.142415300012
-         0.14277151227
-         0.143128573895
-         0.143486484885
-         0.143845260143
-         0.144204884768
-         0.14456538856
-         0.144926741719
-         0.145288974047
-         0.145652070642
-         0.146016031504
-         0.146380871534
-         0.146746590734
-         0.147113189101
-         0.147480651736
-         0.147849008441
-         0.148218244314
-         0.148588359356
-         0.148959368467
-         0.149331271648
-         0.149704053998
-         0.150077745318
-         0.150452315807
-         0.150827795267
-         0.151204183698
-         0.151581466198
-         0.151959642768
-         0.15233874321
-         0.152718737721
-         0.153099656105
-         0.153481483459
-         0.153864219785
-         0.154247879982
-         0.154632464051
-         0.155017971992
-         0.155404388905
-         0.15579174459
-         0.156180039048
-         0.156569242477
-         0.156959399581
-         0.157350480556
-         0.157742500305
-         0.158135458827
-         0.158529371023
-         0.158924207091
-         0.159320011735
-         0.159716755152
-         0.160114452243
-         0.160513103008
-         0.160912707448
-         0.161313265562
-         0.161714792252
-         0.162117272615
-         0.162520736456
-         0.162925153971
-         0.163330540061
-         0.163736894727
-         0.164144232869
-         0.164552554488
-         0.164961844683
-         0.165372118354
-         0.165783375502
-         0.166195616126
-         0.166608855128
-         0.167023077607
-         0.167438298464
-         0.167854502797
-         0.168271720409
-         0.168689936399
-         0.169109150767
-         0.169529363513
-         0.169950589538
-         0.170372828841
-         0.170796081424
-         0.171220347285
-         0.171645626426
-         0.172071933746
-         0.172499254346
-         0.172927603126
-         0.173356980085
-         0.173787385225
-         0.174218833447
-         0.174651294947
-         0.175084814429
-         0.175519362092
-         0.175954952836
-         0.176391586661
-         0.176829278469
-         0.177268013358
-         0.177707791328
-         0.178148642182
-         0.178590536118
-         0.179033488035
-         0.179477512836
-         0.17992259562
-         0.180368751287
-         0.180815964937
-         0.181264266372
-         0.18171364069
-         0.18216407299
-         0.182615607977
-         0.183068215847
-         0.183521911502
-         0.183976694942
-         0.184432566166
-         0.184889540076
-         0.185347601771
-         0.185806766152
-         0.186267033219
-         0.186728388071
-         0.18719086051
-         0.187654450536
-         0.188119143248
-         0.188584953547
-         0.189051881433
-         0.189519926906
-         0.189989089966
-         0.190459385514
-         0.19093079865
-         0.191403359175
-         0.191877037287
-         0.192351862788
-         0.192827820778
-         0.193304911256
-         0.193783164024
-         0.194262549281
-         0.194743096828
-         0.195224791765
-         0.195707634091
-         0.196191638708
-         0.196676805615
-         0.197163134813
-         0.197650641203
-         0.198139309883
-         0.198629140854
-         0.199120149016
-         0.199612349272
-         0.200105711818
-         0.200600266457
-         0.201096013188
-         0.201592937112
-         0.202091053128
-         0.202590376139
-         0.203090891242
-         0.203592598438
-         0.204095512629
-         0.204599633813
-         0.205104961991
-         0.205611512065
-         0.206119269133
-         0.206628233194
-         0.207138434052
-         0.207649856806
-         0.208162501454
-         0.208676367998
-         0.209191486239
-         0.209707826376
-         0.210225403309
-         0.210744231939
-         0.211264297366
-         0.211785599589
-         0.212308168411
-         0.212831988931
-         0.213357061148
-         0.213883385062
-         0.214410990477
-         0.214939847589
-         0.215469971299
-         0.21600137651
-         0.216534048319
-         0.217068001628
-         0.217603236437
-         0.218139737844
-         0.218677550554
-         0.219216629863
-         0.219757020473
-         0.220298707485
-         0.220841675997
-         0.221385955811
-         0.221931546926
-         0.222478449345
-         0.223026648164
-         0.223576173186
-         0.224127009511
-         0.224679172039
-         0.22523266077
-         0.225787460804
-         0.226343601942
-         0.226901084185
-         0.227459892631
-         0.228020042181
-         0.228581547737
-         0.229144379497
-         0.229708582163
-         0.230274125934
-         0.23084102571
-         0.231409281492
-         0.231978908181
-         0.232549905777
-         0.233122259378
-         0.233695983887
-         0.234271094203
-         0.234847590327
-         0.235425457358
-         0.236004710197
-         0.236585348845
-         0.237167388201
-         0.237750828266
-         0.23833565414
-         0.238921880722
-         0.239509522915
-         0.240098580718
-         0.24068903923
-         0.241280913353
-         0.241874217987
-         0.242468938231
-         0.243065074086
-         0.243662655354
-         0.244261667132
-         0.244862109423
-         0.245463997126
-         0.246067330241
-         0.246672093868
-         0.24727833271
-         0.247886002064
-         0.248495146632
-         0.249105736613
-         0.249717801809
-         0.25033134222
-         0.250946342945
-         0.251562803984
-         0.252180755138
-         0.252800196409
-         0.253421127796
-         0.254043519497
-         0.254667431116
-         0.255292832851
-         0.255919724703
-         0.256548136473
-         0.257178038359
-         0.257809460163
-         0.258442401886
-         0.259076863527
-         0.259712845087
-         0.260350316763
-         0.260989367962
-         0.261629909277
-         0.262272030115
-         0.262915641069
-         0.263560831547
-         0.264207571745
-         0.264855831861
-         0.265505671501
-         0.266157060862
-         0.266810029745
-         0.267464548349
-         0.268120616674
-         0.268778294325
-         0.269437521696
-         0.270098358393
-         0.27076074481
-         0.271424740553
-         0.272090345621
-         0.27275750041
-         0.273426294327
-         0.274096697569
-         0.274768680334
-         0.275442272425
-         0.276117503643
-         0.276794344187
-         0.277472794056
-         0.278152883053
-         0.278834611177
-         0.27951797843
-         0.280202955008
-         0.280889600515
-         0.281577885151
-         0.282267808914
-         0.282959401608
-         0.283652663231
-         0.284347563982
-         0.285044133663
-         0.285742402077
-         0.286442309618
-         0.287143915892
-         0.287847191095
-         0.288552165031
-         0.2892588377
-         0.289967179298
-         0.290677249432
-         0.291388988495
-         0.292102456093
-         0.292817622423
-         0.293534517288
-         0.294253110886
-         0.29497346282
-         0.295695513487
-         0.296419292688
-         0.297144830227
-         0.2978720963
-         0.29860112071
-         0.299331873655
-         0.300064384937
-         0.300798654556
-         0.301534682512
-         0.302272468805
-         0.303012043238
-         0.303753376007
-         0.304496496916
-         0.305241376162
-         0.305988073349
-         0.306736528873
-         0.30748680234
-         0.308238863945
-         0.308992743492
-         0.309748411179
-         0.310505926609
-         0.311265230179
-         0.31202635169
-         0.312789291143
-         0.313554078341
-         0.314320713282
-         0.315089166164
-         0.315859466791
-         0.316631615162
-         0.317405611277
-         0.318181455135
-         0.31895917654
-         0.319738745689
-         0.320520192385
-         0.321303516626
-         0.322088718414
-         0.322875797749
-         0.323664784431
-         0.324455648661
-         0.325248420238
-         0.326043069363
-         0.326839625835
-         0.327638119459
-         0.328438520432
-         0.329240828753
-         0.330045074224
-         0.330851227045
-         0.331659317017
-         0.332469373941
-         0.333281338215
-         0.334095269442
-         0.334911137819
-         0.33572897315
-         0.336548775434
-         0.337370544672
-         0.338194280863
-         0.339019984007
-         0.339847654104
-         0.34067735076
-         0.341509014368
-         0.34234264493
-         0.34317830205
-         0.344015985727
-         0.344855636358
-         0.345697313547
-         0.346541017294
-         0.347386747599
-         0.348234504461
-         0.349084287882
-         0.349936127663
-         0.350789994001
-         0.351645886898
-         0.352503865957
-         0.353363901377
-         0.354225963354
-         0.355090141296
-         0.355956345797
-         0.356824666262
-         0.357695043087
-         0.358567506075
-         0.359442085028
-         0.360318750143
-         0.361197501421
-         0.362078398466
-         0.362961381674
-         0.363846480846
-         0.364733695984
-         0.365623056889
-         0.366514533758
-         0.367408156395
-         0.368303924799
-         0.36920183897
-         0.370101898909
-         0.371004134417
-         0.371908545494
-         0.372815102339
-         0.373723834753
-         0.374634742737
-         0.37554782629
-         0.376463115215
-         0.377380609512
-         0.378300279379
-         0.37922218442
-         0.38014626503
-         0.381072580814
-         0.382001131773
-         0.382931888103
-         0.383864879608
-         0.384800106287
-         0.385737597942
-         0.38667729497
-         0.387619286776
-         0.388563513756
-         0.389510005713
-         0.390458792448
-         0.39140984416
-         0.392363160849
-         0.393318772316
-         0.394276678562
-         0.395236879587
-         0.396199375391
-         0.397164195776
-         0.39813131094
-         0.399100750685
-         0.400072544813
-         0.40104663372
-         0.402023077011
-         0.403001844883
-         0.403982967138
-         0.404966443777
-         0.405952274799
-         0.406940490007
-         0.407931059599
-         0.408924013376
-         0.409919321537
-         0.410917043686
-         0.411917150021
-         0.412919670343
-         0.413924574852
-         0.414931893349
-         0.415941625834
-         0.416953772306
-         0.41796836257
-         0.418985366821
-         0.420004844666
-         0.421026736498
-         0.422051101923
-         0.423077881336
-         0.424107164145
-         0.425138890743
-         0.426173120737
-         0.427209824324
-         0.428249001503
-         0.429290652275
-         0.430334836245
-         0.431381493807
-         0.432430684566
-         0.433482378721
-         0.434536606073
-         0.435593366623
-         0.436652630568
-         0.437714457512
-         0.438778847456
-         0.439845770597
-         0.440915226936
-         0.441987276077
-         0.443061888218
-         0.444139093161
-         0.445218861103
-         0.44630125165
-         0.447386205196
-         0.448473781347
-         0.4495639503
-         0.450656741858
-         0.451752126217
-         0.452850162983
-         0.453950852156
-         0.45505413413
-         0.456160098314
-         0.457268714905
-         0.458379983902
-         0.459493905306
-         0.460610508919
-         0.461729764938
-         0.462851732969
-         0.463976383209
-         0.465103745461
-         0.466233789921
-         0.467366546392
-         0.468502044678
-         0.469640254974
-         0.470781177282
-         0.471924841404
-         0.473071247339
-         0.474220424891
-         0.475372344255
-         0.476527005434
-         0.477684468031
-         0.478844672441
-         0.48000767827
-         0.481173485518
-         0.482342064381
-         0.483513474464
-         0.484687685966
-         0.485864698887
-         0.487044543028
-         0.488227188587
-         0.489412695169
-         0.490601062775
-         0.4917922616
-         0.492986321449
-         0.494183242321
-         0.495383024216
-         0.496585696936
-         0.497791230679
-         0.498999685049
-         0.500211000443
-         0.501425266266
-         0.502642452717
-         0.503862500191
-         0.505085527897
-         0.506311416626
-         0.507540345192
-         0.508772134781
-         0.510006904602
-         0.511244654655
-         0.512485384941
-         0.513729035854
-         0.514975726604
-         0.516225337982
-         0.517477989197
-         0.518733680248
-         0.519992351532
-         0.521254003048
-         0.522518694401
-         0.523786485195
-         0.525057256222
-         0.526331067085
-         0.52760797739
-         0.528887927532
-         0.530170917511
-         0.531457006931
-         0.532746195793
-         0.534038484097
-         0.535333812237
-         0.536632299423
-         0.537933886051
-         0.539238572121
-         0.540546417236
-         0.541857421398
-         0.543171525002
-         0.544488787651
-         0.545809209347
-         0.547132849693
-         0.548459589481
-         0.54978954792
-         0.551122665405
-         0.552459001541
-         0.553798556328
-         0.555141329765
-         0.556487321854
-         0.557836532593
-         0.559188961983
-         0.560544610023
-         0.56190353632
-         0.563265740871
-         0.564631223679
-         0.565999925137
-         0.567371964455
-         0.568747282028
-         0.570125877857
-         0.571507811546
-         0.572893023491
-         0.574281573296
-         0.575673401356
-         0.577068626881
-         0.578467190266
-         0.579869091511
-         0.581274390221
-         0.582683026791
-         0.584095060825
-         0.585510492325
-         0.586929261684
-         0.588351488113
-         0.589777112007
-         0.591206133366
-         0.592638611794
-         0.594074487686
-         0.595513820648
-         0.596956670284
-         0.598402917385
-         0.599852621555
-         0.6013058424
-         0.602762520313
-         0.604222655296
-         0.605686366558
-         0.607153534889
-         0.608624279499
-         0.610098481178
-         0.611576259136
-         0.613057553768
-         0.614542424679
-         0.616030871868
-         0.617522835732
-         0.619018435478
-         0.620517611504
-         0.622020363808
-         0.62352669239
-         0.625036656857
-         0.626550257206
-         0.628067493439
-         0.629588365555
-         0.631112873554
-         0.632641017437
-         0.634172856808
-         0.635708391666
-         0.637247562408
-         0.638790428638
-         0.640336990356
-         0.641887307167
-         0.643441319466
-         0.644999027252
-         0.646560490131
-         0.648125708103
-         0.649694681168
-         0.651267409325
-         0.652843892574
-         0.654424190521
-         0.656008243561
-         0.657596111298
-         0.659187793732
-         0.660783290863
-         0.662382602692
-         0.663985729218
-         0.665592730045
-         0.667203605175
-         0.668818295002
-         0.670436918736
-         0.672059357166
-         0.673685729504
-         0.675315976143
-         0.676950156689
-         0.678588271141
-         0.680230259895
-         0.681876242161
-         0.683526158333
-         0.685180008411
-         0.686837792397
-         0.688499629498
-         0.690165400505
-         0.691835165024
-         0.693508982658
-         0.695186793804
-         0.696868598461
-         0.698554456234
-         0.700244367123
-         0.701938271523
-         0.703636288643
-         0.705338418484
-         0.707044541836
-         0.708754837513
-         0.710469186306
-         0.71218764782
-         0.713910281658
-         0.715636968613
-         0.717367827892
-         0.719102859497
-         0.720842063427
-         0.722585380077
-         0.724332928658
-         0.726084649563
-         0.727840542793
-         0.729600667953
-         0.731365025043
-         0.733133614063
-         0.734906435013
-         0.736683487892
-         0.738464832306
-         0.740250468254
-         0.742040336132
-         0.743834555149
-         0.745633006096
-         0.747435808182
-         0.749242961407
-         0.751054406166
-         0.752870202065
-         0.754690349102
-         0.756514906883
-         0.758343756199
-         0.760177075863
-         0.762014746666
-         0.763856828213
-         0.765703320503
-         0.767554223537
-         0.76940959692
-         0.771269440651
-         0.773133695126
-         0.775002479553
-         0.776875674725
-         0.778753399849
-         0.780635654926
-         0.782522380352
-         0.784413635731
-         0.786309480667
-         0.788209795952
-         0.790114700794
-         0.792024195194
-         0.793938219547
-         0.795856893063
-         0.797780096531
-         0.799707949162
-         0.801640450954
-         0.803577542305
-         0.805519342422
-         0.807465732098
-         0.80941683054
-         0.811372578144
-         0.813333034515
-         0.815298199654
-         0.817268073559
-         0.819242656231
-         0.82122194767
-         0.823206007481
-         0.825194835663
-         0.827188432217
-         0.829186856747
-         0.831189990044
-         0.833198010921
-         0.835210800171
-         0.837228417397
-         0.839250862598
-         0.841278135777
-         0.84331035614
-         0.84534740448
-         0.847389280796
-         0.849436104298
-         0.851487874985
-         0.853544533253
-         0.855606079102
-         0.857672631741
-         0.859744131565
-         0.861820578575
-         0.863901972771
-         0.865988433361
-         0.868079841137
-         0.870176315308
-         0.872277736664
-         0.874384284019
-         0.876495838165
-         0.878612458706
-         0.880734145641
-         0.882860958576
-         0.884992837906
-         0.887129843235
-         0.889271974564
-         0.891419231892
-         0.893571674824
-         0.895729243755
-         0.897891998291
-         0.900059938431
-         0.902233064175
-         0.904411375523
-         0.906594991684
-         0.908783793449
-         0.910977840424
-         0.913177132607
-         0.915381729603
-         0.917591631413
-         0.919806778431
-         0.922027289867
-         0.924253106117
-         0.926484286785
-         0.928720772266
-         0.930962622166
-         0.933209896088
-         0.935462534428
-         0.937720537186
-         0.939984023571
-         0.942252874374
-         0.944527208805
-         0.946806967258
-         0.949092209339
-         0.951382935047
-         0.953679144382
-         0.955980837345
-         0.958288133144
-         0.960600852966
-         0.962919175625
-         0.96524310112
-         0.967572510242
-         0.969907581806
-         0.972248196602
-         0.974594473839
-         0.976946353912
-         0.979303836823
-         0.981667041779
-         0.984035849571
-         0.98641037941
-         0.988790631294
-         0.99117654562
-         0.993568181992
-         0.995965540409
-         0.998368680477
-         1.0007776022
-         1.00319230556
-         1.00561273098
-         1.00803899765
-         1.01047110558
-         1.01290893555
-         1.01535272598
-         1.01780235767
-         1.02025783062
-         1.02271926403
-         1.0251865387
-         1.02765977383
-         1.03013885021
-         1.03262400627
-         1.03511500359
-         1.03761196136
-         1.04011499882
-         1.04262399673
-         1.04513907433
-         1.04766011238
-         1.05018723011
-         1.0527203083
-         1.05525958538
-         1.05780494213
-         1.06035637856
-         1.06291389465
-         1.06547760963
-         1.06804740429
-         1.07062339783
-         1.07320559025
-         1.07579398155
-         1.07838845253
-         1.0809892416
-         1.08359634876
-         1.0862095356
-         1.08882915974
-         1.09145498276
-         1.09408712387
-         1.09672558308
-         1.09937024117
-         1.10202145576
-         1.10467886925
-         1.10734272003
-         1.11001288891
-         1.1126896143
-         1.11537265778
-         1.11806213856
-         1.12075805664
-         1.12346041203
-         1.12616932392
-         1.12888467312
-         1.13160657883
-         1.13433492184
-         1.13706994057
-         1.1398113966
-         1.14255952835
-         1.14531421661
-         1.14807546139
-         1.15084338188
-         1.1536179781
-         1.15639913082
-         1.15918707848
-         1.16198158264
-         1.16478288174
-         1.16759085655
-         1.17040550709
-         1.17322695255
-         1.17605519295
-         1.17889022827
-         1.18173205853
-         1.18458068371
-         1.18743610382
-         1.19029843807
-         1.19316756725
-         1.19604361057
-         1.19892656803
-         1.20181643963
-         1.20471322536
-         1.20761692524
-         1.21052765846
-         1.21344530582
-         1.21636998653
-         1.21930170059
-         1.222240448
-         1.22518622875
-         1.22813904285
-         1.2310988903
-         1.23406589031
-         1.23704004288
-         1.240021348
-         1.24300968647
-         1.24600529671
-         1.2490080595
-         1.25201797485
-         1.25503516197
-         1.25805962086
-         1.2610912323
-         1.26413023472
-         1.26717638969
-         1.27022993565
-         1.27329075336
-         1.27635896206
-         1.27943456173
-         1.28251743317
-         1.28560781479
-         1.28870546818
-         1.29181063175
-         1.29492330551
-         1.29804337025
-         1.30117094517
-         1.30430591106
-         1.30744850636
-         1.31059861183
-         1.31375622749
-         1.31692147255
-         1.320094347
-         1.32327473164
-         1.32646286488
-         1.3296585083
-         1.33286190033
-         1.33607292175
-         1.33929169178
-         1.34251821041
-         1.34575235844
-         1.34899437428
-         1.35224413872
-         1.35550165176
-         1.35876691341
-         1.36204016209
-         1.36532115936
-         1.36861002445
-         1.37190687656
-         1.37521147728
-         1.37852418423
-         1.38184463978
-         1.38517320156
-         1.38850975037
-         1.39185416698
-         1.39520668983
-         1.39856731892
-         1.40193593502
-         1.40531265736
-         1.40869736671
-         1.41209030151
-         1.41549134254
-         1.41890060902
-         1.42231798172
-         1.42574357986
-         1.42917740345
-         1.43261933327
-         1.43606960773
-         1.43952822685
-         1.44299507141
-         1.44647026062
-         1.44995367527
-         1.45344555378
-         1.45694577694
-         1.46045446396
-         1.46397149563
-         1.46749699116
-         1.47103083134
-         1.47457325459
-         1.47812414169
-         1.48168361187
-         1.48525154591
-         1.4888279438
-         1.49241304398
-         1.49600672722
-         1.49960899353
-         1.50321996212
-         1.50683963299
-         1.51046788692
-         1.51410484314
-         1.51775050163
-         1.52140498161
-         1.52506816387
-         1.52874016762
-         1.53242099285
-         1.53611052036
-         1.53980898857
-         1.54351639748
-         1.54723262787
-         1.55095767975
-         1.55469179153
-         1.55843484402
-         1.5621868372
-         1.56594789028
-         1.56971788406
-         1.57349693775
-         1.57728505135
-         1.58108222485
-         1.58488857746
-         1.58870398998
-         1.59252858162
-         1.59636235237
-         1.60020530224
-         1.60405755043
-         1.60791897774
-         1.61178958416
-         1.61566960812
-         1.61955881119
-         1.62345743179
-         1.62736535072
-         1.63128268719
-         1.63520932198
-         1.63914549351
-         1.64309108257
-         1.64704608917
-         1.65101051331
-         1.65498459339
-         1.65896809101
-         1.66296124458
-         1.6669639349
-         1.67097616196
-         1.67499804497
-         1.67902958393
-         1.68307077885
-         1.68712174892
-         1.69118225574
-         1.69525265694
-         1.69933271408
-         1.7034226656
-         1.70752239227
-         1.71163189411
-         1.71575129032
-         1.7198805809
-         1.72401976585
-         1.72816884518
-         1.73232793808
-         1.73649692535
-         1.74067592621
-         1.74486494064
-         1.74906408787
-         1.75327324867
-         1.75749242306
-         1.76172184944
-         1.76596140862
-         1.77021098137
-         1.77447092533
-         1.77874100208
-         1.78302133083
-         1.78731191158
-         1.79161274433
-         1.79592394829
-         1.80024552345
-         1.80457746983
-         1.8089196682
-         1.81327235699
-         1.81763553619
-         1.82200908661
-         1.82639324665
-         1.83078789711
-         1.83519303799
-         1.83960866928
-         1.84403502941
-         1.84847187996
-         1.85291945934
-         1.85737764835
-         1.8618465662
-         1.86632621288
-         1.8708165884
-         1.87531769276
-         1.87982964516
-         1.88435232639
-         1.88888597488
-         1.89343047142
-         1.897985816
-         1.90255212784
-         1.90712940693
-         1.91171753407
-         1.91631674767
-         1.92092704773
-         1.92554831505
-         1.93018078804
-         1.93482422829
-         1.93947887421
-         1.9441447258
-         1.94882166386
-         1.9535099268
-         1.9582092762
-         1.96292006969
-         1.96764206886
-         1.97237539291
-         1.97712004185
-         1.98187613487
-         1.98664355278
-         1.99142253399
-         1.99621284008
-         2.00101470947
-         2.00582814217
-         2.01065301895
-         2.01548957825
-         2.02033758163
-         2.02519726753
-         2.03006863594
-         2.03495168686
-         2.03984642029
-         2.04475283623
-         2.0496711731
-         2.05460119247
-         2.05954313278
-         2.0644967556
-         2.06946253777
-         2.07444000244
-         2.07942938805
-         2.084430933
-         2.08944416046
-         2.09446978569
-         2.09950709343
-         2.10455679893
-         2.10961842537
-         2.11469221115
-         2.11977815628
-         2.12487649918
-         2.129986763
-         2.13510942459
-         2.14024448395
-         2.14539170265
-         2.15055131912
-         2.15572333336
-         2.16090774536
-         2.16610455513
-         2.17131376266
-         2.17653560638
-         2.18176984787
-         2.18701672554
-         2.19227600098
-         2.19754815102
-         2.20283269882
-         2.20813012123
-         2.21344017982
-         2.2187628746
-         2.22409844398
-         2.22944688797
-         2.23480796814
-         2.24018216133
-         2.24556899071
-         2.25096893311
-         2.25638175011
-         2.26180744171
-         2.26724624634
-         2.27269792557
-         2.27816295624
-         2.28364086151
-         2.28913211823
-         2.29463648796
-         2.30015397072
-         2.3056845665
-         2.31122875214
-         2.3167860508
-         2.3223567009
-         2.32794070244
-         2.33353805542
-         2.33914875984
-         2.34477305412
-         2.35041069984
-         2.35606193542
-         2.36172676086
-         2.36740517616
-         2.37309718132
-         2.37880301476
-         2.38452219963
-         2.3902554512
-         2.39600229263
-         2.40176272392
-         2.40753722191
-         2.41332554817
-         2.41912770271
-         2.42494368553
-         2.43077373505
-         2.43661761284
-         2.44247579575
-         2.44834780693
-         2.45423388481
-         2.46013402939
-         2.46604847908
-         2.47197699547
-         2.47791981697
-         2.48387694359
-         2.48984837532
-         2.49583387375
-         2.50183391571
-         2.50784826279
-         2.5138771534
-         2.51992034912
-         2.5259783268
-         2.53205060959
-         2.53813743591
-         2.54423880577
-         2.55035495758
-         2.55648565292
-         2.56263113022
-         2.56879138947
-         2.57496619225
-         2.5811560154
-         2.5873606205
-         2.59358024597
-         2.5998146534
-         2.60606408119
-         2.61232829094
-         2.61860775948
-         2.62490224838
-         2.63121175766
-         2.63753628731
-         2.64387631416
-         2.65023112297
-         2.65660142899
-         2.66298699379
-         2.66938781738
-         2.67580413818
-         2.68223571777
-         2.68868279457
-         2.69514536858
-         2.70162320137
-         2.70811676979
-         2.71462583542
-         2.72115063667
-         2.72769093513
-         2.73424696922
-         2.74081873894
-         2.74740624428
-         2.75400948524
-         2.76062870026
-         2.76726365089
+         0.100608326495
+         0.101636558771
+         0.102674692869
+         0.103722833097
+         0.104781068861
+         0.10584949702
+         0.106928221881
+         0.108017340302
+         0.109116949141
+         0.110227145255
+         0.111348047853
+         0.112479746342
+         0.11362234503
+         0.114775955677
+         0.115940675139
+         0.117116622627
+         0.118303894997
+         0.119502604008
+         0.120712868869
+         0.121934786439
+         0.123168475926
+         0.12441405654
+         0.125671640038
+         0.12694132328
+         0.128223255277
+         0.129517525434
+         0.130824267864
+         0.132143616676
+         0.133475661278
+         0.134820535779
+         0.13617837429
+         0.13754928112
+         0.138933420181
+         0.140330865979
+         0.141741797328
+         0.143166318536
+         0.144604548812
+         0.146056652069
+         0.147522732615
+         0.149002954364
+         0.150497421622
+         0.152006283402
+         0.153529688716
+         0.155067771673
+         0.156620681286
+         0.158188536763
+         0.159771502018
+         0.161369726062
+         0.162983343005
+         0.16461250186
+         0.166257366538
+         0.167918071151
+         0.169594764709
+         0.171287626028
+         0.172996789217
+         0.174722418189
+         0.176464676857
+         0.178223729134
+         0.179999709129
+         0.181792810559
+         0.183603182435
+         0.185431003571
+         0.187276422977
+         0.189139634371
+         0.191020786762
+         0.192920073867
+         0.194837644696
+         0.196773692966
+         0.198728397489
+         0.200701937079
+         0.202694490552
+         0.20470623672
+         0.206737354398
+         0.208788052201
+         0.210858508945
+         0.212948903441
+         0.215059444308
+         0.217190310359
+         0.21934171021
+         0.221513837576
+         0.223706901073
+         0.225921079516
+         0.228156596422
+         0.230413645506
+         0.232692435384
+         0.234993189573
+         0.237316101789
+         0.239661410451
+         0.242029294372
+         0.244420006871
+         0.246833741665
+         0.24927072227
+         0.251731187105
+         0.254215359688
+         0.256723463535
+         0.259255737066
+         0.261812418699
+         0.264393717051
+         0.266999870539
+         0.269631147385
+         0.272287786007
+         0.274969995022
+         0.27767804265
+         0.280412197113
+         0.283172696829
+         0.285959780216
+         0.288773715496
+         0.291614770889
+         0.294483184814
+         0.297379255295
+         0.300303190947
+         0.303255319595
+         0.30623587966
+         0.309245169163
+         0.312283456326
+         0.315350979567
+         0.318448096514
+         0.321575015783
+         0.324732095003
+         0.327919572592
+         0.331137746572
+         0.334386944771
+         0.337667435408
+         0.340979516506
+         0.344323545694
+         0.347699761391
+         0.351108521223
+         0.354550093412
+         0.358024865389
+         0.361533075571
+         0.365075111389
+         0.368651241064
+         0.372261852026
+         0.375907242298
+         0.379587739706
+         0.38330373168
+         0.387055486441
+         0.390843391418
+         0.394667804241
+         0.398529052734
+         0.402427494526
+         0.406363517046
+         0.41033744812
+         0.414349645376
+         0.418400526047
+         0.422490417957
+         0.426619708538
+         0.430788785219
+         0.434998035431
+         0.439247846603
+         0.443538576365
+         0.447870671749
+         0.452244490385
+         0.456660419703
+         0.461118936539
+         0.465620368719
+         0.470165193081
+         0.474753797054
+         0.479386627674
+         0.484064072371
+         0.488786578178
+         0.493554592133
+         0.498368531466
+         0.503228843212
+         0.508135974407
+         0.51309043169
+         0.518092572689
+         0.523142933846
+         0.528241932392
+         0.533390045166
+         0.538587749004
+         0.543835580349
+         0.549133956432
+         0.554483354092
+         0.559884250164
+         0.565337240696
+         0.57084274292
+         0.576401293278
+         0.582013428211
+         0.587679564953
+         0.593400359154
+         0.599176228046
+         0.605007708073
+         0.610895454884
+         0.616839885712
+         0.622841536999
+         0.628901064396
+         0.63501894474
+         0.641195774078
+         0.647432148457
+         0.653728544712
+         0.660085678101
+         0.666503965855
+         0.672984182835
+         0.679526746273
+         0.686132371426
+         0.692801654339
+         0.699535191059
+         0.706333577633
+         0.713197469711
+         0.720127522945
+         0.727124273777
+         0.734188497066
+         0.741320729256
+         0.7485216856
+         0.755792021751
+         0.76313239336
+         0.770543515682
+         0.778026044369
+         0.785580635071
+         0.793208003044
+         0.800908863544
+         0.808683872223
+         0.816533863544
+         0.824459433556
+         0.832461357117
+         0.840540409088
+         0.848697245121
+         0.85693269968
+         0.865247488022
+         0.873642385006
+         0.882118165493
+         0.890675604343
+         0.899315476418
+         0.90803861618
+         0.916845738888
+         0.925737738609
+         0.93471544981
+         0.943779587746
+         0.952931106091
+         0.9621707201
+         0.971499443054
+         0.980917990208
+         0.99042725563
+         1.00002813339
+         1.00972151756
+         1.01950836182
+         1.02938938141
+         1.03936564922
+         1.04943811893
+         1.0596075058
+         1.0698748827
+         1.08024120331
+         1.0907074213
+         1.10127437115
+         1.11194324493
+         1.12271487713
+         1.13359022141
+         1.14457035065
+         1.15565633774
+         1.16684901714
+         1.17814970016
+         1.18955910206
+         1.20107841492
+         1.21270883083
+         1.22445118427
+         1.23630678654
+         1.24827647209
+         1.26036155224
+         1.27256309986
+         1.28488206863
+         1.29731988907
+         1.30987739563
+         1.32255589962
+         1.33535659313
+         1.34828066826
+         1.36132919788
+         1.3745033741
+         1.38780450821
+         1.40123391151
+         1.41479253769
+         1.42848181725
+         1.44230306149
+         1.4562574625
+         1.47034621239
+         1.48457074165
+         1.49893224239
+         1.51343226433
+         1.52807188034
+         1.54285252094
+         1.55777561665
+         1.57284235954
+         1.58805441856
+         1.6034129858
+         1.61891949177
+         1.63457536697
+         1.65038216114
+         1.66634118557
+         1.68245387077
+         1.69872188568
+         1.7151466608
+         1.73172962666
+         1.74847233295
+         1.76537644863
+         1.78244328499
+         1.79967463017
+         1.81707191467
+         1.83463692665
+         1.85237109661
+         1.87027609348
+         1.8883535862
+         1.90660524368
+         1.92503285408
+         1.9436378479
+         1.96242213249
+         1.98138749599
+         2.00053548813
+         2.01986789703
+         2.03938651085
+         2.05909347534
+         2.0789899826
+         2.09907841682
+         2.11936020851
+         2.13983726501
+         2.16051197052
+         2.18138551712
+         2.20246052742
+         2.22373819351
+         2.245221138
+         2.2669107914
+         2.28880977631
+         2.31091952324
+         2.33324217796
+         2.35577988625
+         2.37853503227
+         2.40150904655
+         2.4247045517
+         2.44812369347
+         2.47176814079
+         2.49564051628
+         2.5197429657
+         2.54407763481
+         2.56864666939
+         2.59345245361
+         2.61849713326
+         2.6437830925
+         2.66931271553
+         2.69508838654
+         2.72111225128
+         2.74738693237
          2.77391457558
-         2.7805814743
-         2.78726434708
-         2.79396319389
-         2.80067825317
-         2.8074092865
-         2.81415653229
-         2.82091999054
-         2.82769942284
-         2.83449530602
-         2.84130764008
-         2.84813594818
-         2.85498094559
-         2.86184215546
-         2.86872005463
-         2.87561416626
-         2.88252496719
-         2.88945221901
-         2.89639639854
-         2.90335679054
-         2.91033411026
-         2.91732811928
-         2.92433905602
-         2.93136668205
-         2.93841123581
-         2.94547247887
-         2.95255088806
-         2.95964598656
-         2.96675848961
-         2.97388768196
-         2.98103427887
-         2.9881978035
-         2.99537849426
-         3.00257658958
-         3.00979185104
-         3.01702427864
-         3.02427411079
-         3.0315413475
-         3.03882622719
-         3.04612827301
-         3.05344796181
-         3.06078529358
-         3.06814002991
-         3.07551264763
-         3.08290266991
-         3.09031057358
-         3.09773635864
-         3.10517978668
-         3.11264109612
-         3.12012028694
-         3.12761735916
-         3.13513255119
-         3.14266562462
-         3.15021681786
-         3.15778613091
-         3.16537356377
-         3.17297911644
-         3.18060302734
-         3.18824529648
-         3.19590568542
-         3.20358467102
-         3.21128201485
-         3.2189977169
-         3.22673201561
-         3.23448467255
-         3.24225616455
-         3.2500462532
-         3.25785493851
-         3.26568222046
-         3.2735285759
-         3.28139352798
-         3.28927731514
-         3.29718017578
-         3.30510187149
-         3.31304264069
-         3.32100248337
-         3.32898139954
-         3.33697938919
-         3.34499645233
-         3.3530330658
-         3.36108851433
-         3.3691637516
-         3.37725806236
-         3.38537168503
-         3.39350509644
-         3.40165781975
-         3.40983009338
-         3.41802191734
-         3.42623353004
-         3.43446469307
-         3.44271564484
-         3.45098638535
-         3.45927715302
-         3.46758747101
-         3.47591781616
-         3.48426818848
-         3.49263858795
-         3.50102925301
-         3.5094397068
-         3.51787042618
-         3.52632141113
-         3.53479290009
-         3.5432844162
-         3.55179619789
-         3.560328722
-         3.56888151169
-         3.57745480537
-         3.58604860306
-         3.59466314316
-         3.60329818726
-         3.61195421219
-         3.62063074112
-         3.62932825089
-         3.63804650307
-         3.64678573608
-         3.65554571152
-         3.6643269062
-         3.67312908173
-         3.6819524765
-         3.69079685211
-         3.69966268539
-         3.70854949951
-         3.7174577713
-         3.72638750076
-         3.73533844948
-         3.74431109428
-         3.75330495834
-         3.76232051849
-         3.77135777473
-         3.78041672707
-         3.78949737549
-         3.79859972
-         3.80772399902
-         3.81686997414
-         3.82603812218
-         3.83522796631
-         3.84443998337
-         3.85367417336
-         3.86293053627
-         3.87220907211
-         3.88150978088
-         3.89083266258
-         3.90017819405
-         3.90954589844
-         3.91893625259
-         3.9283490181
-         3.93778443336
-         3.9472424984
-         3.9567232132
-         3.96622657776
-         3.97575283051
-         3.98530173302
-         3.99487376213
-         4.00446844101
-         4.01408672333
-         4.02372741699
-         4.03339147568
-         4.04307889938
-         4.05278921127
-         4.06252336502
-         4.07228040695
-         4.0820608139
-         4.09186506271
-         4.10169219971
-         4.11154317856
-         4.12141799927
-         4.13131666183
-         4.14123868942
-         4.15118455887
-         4.16115427017
-         4.17114782333
-         4.18116569519
-         4.19120740891
-         4.20127296448
-         4.21136283875
-         4.22147703171
-         4.23161506653
-         4.24177789688
-         4.25196504593
-         4.26217651367
-         4.27241230011
-         4.28267288208
-         4.29295778275
-         4.30326747894
-         4.31360197067
-         4.32396125793
-         4.33434534073
-         4.34475421906
-         4.35518836975
-         4.36564731598
-         4.37613153458
-         4.38664054871
-         4.39717483521
-         4.40773487091
-         4.41831970215
-         4.42893028259
-         4.43956565857
-         4.45022726059
-         4.46091413498
-         4.47162675858
-         4.48236465454
-         4.49312877655
-         4.50391864777
-         4.51473426819
-         4.52557611465
-         4.53644371033
-         4.54733705521
-         4.55825710297
-         4.56920289993
-         4.58017492294
-         4.59117364883
-         4.60219860077
-         4.61324977875
-         4.62432765961
-         4.63543224335
-         4.64656305313
-         4.65772104263
-         4.66890525818
-         4.68011665344
-         4.69135475159
-         4.70262002945
-         4.71391248703
-         4.72523164749
-         4.73657798767
-         4.74795150757
-         4.75935220718
-         4.77078056335
-         4.78223609924
-         4.79371929169
-         4.80523014069
-         4.8167681694
-         4.82833433151
-         4.83992767334
-         4.85154914856
-         4.86319875717
-         4.87487602234
-         4.88658094406
-         4.89831447601
-         4.91007614136
-         4.92186546326
-         4.93368339539
-         4.94552993774
-         4.95740461349
-         4.96930789948
-         4.98123931885
-         4.99319982529
-         5.00518894196
-         5.01720666885
-         5.02925300598
-         5.04132890701
-         5.05343294144
-         5.06556653976
-         5.07772922516
-         5.08992099762
-         5.10214185715
-         5.11439228058
-         5.12667179108
-         5.13898086548
-         5.15131950378
-         5.16368770599
-         5.17608547211
-         5.18851327896
-         5.20097064972
-         5.21345806122
-         5.22597503662
-         5.2385225296
-         5.25109958649
-         5.26370716095
-         5.27634477615
-         5.28901290894
-         5.3017115593
-         5.3144402504
-         5.32719945908
-         5.33998966217
-         5.35281038284
-         5.36566162109
-         5.37854385376
-         5.39145708084
-         5.40440130234
-         5.41737651825
-         5.43038272858
-         5.44341993332
-         5.45648860931
-         5.46958875656
-         5.48272037506
-         5.49588298798
-         5.50907754898
-         5.52230405807
-         5.53556156158
-         5.54885149002
-         5.56217288971
-         5.57552623749
-         5.58891201019
-         5.60232973099
-         5.61577939987
-         5.62926149368
-         5.64277601242
-         5.65632247925
-         5.66990184784
-         5.68351364136
-         5.69715833664
-         5.71083545685
-         5.72454547882
-         5.73828840256
-         5.75206422806
-         5.76587295532
-         5.77971506119
-         5.79359006882
-         5.80749845505
-         5.82144021988
-         5.83541584015
-         5.84942436218
-         5.86346673965
-         5.87754297256
-         5.89165258408
-         5.90579605103
-         5.91997385025
-         5.93418550491
-         5.94843101501
-         5.96271085739
-         5.97702503204
-         5.99137306213
-         6.00575590134
-         6.02017307281
-         6.03462505341
-         6.04911136627
-         6.06363296509
-         6.07818889618
-         6.09277963638
-         6.10740566254
-         6.12206697464
-         6.13676309586
-         6.15149450302
-         6.16626119614
-         6.1810631752
-         6.19590091705
-         6.21077442169
-         6.22568321228
-         6.24062776566
-         6.25560855865
-         6.2706246376
-         6.28567743301
-         6.30076599121
-         6.31589031219
-         6.33105134964
-         6.34624910355
-         6.36148262024
-         6.37675285339
-         6.39205980301
-         6.40740346909
-         6.42278432846
-         6.43820142746
-         6.45365571976
-         6.46914720535
-         6.48467588425
-         6.50024175644
-         6.51584482193
-         6.53148508072
-         6.54716300964
-         6.5628786087
-         6.5786318779
-         6.59442329407
-         6.61025238037
-         6.62611913681
-         6.64202404022
-         6.65796709061
-         6.6739487648
-         6.68996810913
-         6.70602607727
-         6.72212266922
-         6.73825788498
-         6.75443220139
-         6.77064466476
-         6.78689622879
-         6.80318689346
-         6.81951618195
-         6.83588504791
-         6.85229301453
-         6.86874055862
-         6.88522720337
-         6.90175390244
-         6.91831970215
-         6.93492555618
-         6.9515709877
-         6.96825647354
-         6.9849820137
-         7.00174760818
-         7.01855325699
-         7.03539943695
-         7.05228567123
-         7.06921291351
-         7.08618021011
-         7.10318851471
-         7.1202378273
-         7.13732767105
-         7.1544585228
-         7.17163038254
-         7.18884372711
-         7.20609807968
-         7.22339391708
-         7.24073123932
-         7.25811004639
-         7.27553081512
-         7.2929930687
-         7.31049728394
-         7.32804346085
-         7.34563159943
-         7.36326217651
-         7.38093519211
-         7.39865016937
-         7.41640758514
-         7.43420791626
-         7.45205068588
-         7.46993637085
-         7.48786497116
-         7.50583648682
-         7.52385139465
-         7.54190921783
-         7.5600104332
-         7.5781545639
-         7.59634304047
-         7.61457443237
-         7.63285017014
-         7.65116930008
-         7.66953229904
-         7.68793964386
-         7.7063908577
-         7.72488641739
-         7.74342632294
-         7.76201105118
-         7.78064012527
-         7.79931354523
-         7.81803226471
-         7.83679533005
-         7.85560369492
-         7.87445735931
-         7.89335584641
-         7.91229963303
-         7.93128919601
-         7.95032405853
-         7.96940469742
-         7.98853111267
-         8.00770378113
-         8.02692127228
-         8.04618549347
-         8.0654964447
-         8.0848531723
-         8.10425662994
-         8.12370586395
-         8.14320278168
-         8.16274547577
-         8.18233585358
-         8.20197296143
-         8.22165679932
-         8.24138832092
-         8.26116657257
-         8.28099250793
-         8.30086612701
-         8.32078742981
-         8.34075641632
-         8.36077308655
-         8.38083839417
-         8.4009513855
-         8.42111206055
-         8.44132232666
-         8.46158027649
-         8.48188686371
-         8.50224208832
-         8.52264595032
-         8.54309940338
-         8.56360149384
-         8.58415317535
-         8.60475349426
-         8.62540340424
-         8.64610290527
-         8.66685199738
-         8.68765068054
-         8.70849990845
-         8.72939872742
-         8.75034713745
-         8.7713470459
-         8.79239654541
-         8.81349658966
-         8.83464717865
-         8.85584831238
-         8.87709999084
-         8.89840316772
-         8.91975784302
-         8.94116306305
-         8.96261978149
-         8.98412799835
-         9.00568771362
-         9.02729892731
-         9.04896259308
-         9.07067775726
-         9.09244537354
-         9.11426448822
-         9.13613605499
-         9.15806102753
-         9.18003749847
-         9.20206737518
-         9.22414970398
-         9.24628543854
-         9.26847362518
-         9.29071521759
-         9.31301021576
-         9.33535861969
-         9.35776138306
-         9.38021659851
-         9.4027261734
-         9.42529010773
-         9.44790744781
-         9.47058010101
-         9.49330615997
-         9.51608657837
-         9.53892230988
-         9.56181240082
-         9.58475780487
-         9.60775852203
-         9.63081359863
-         9.65392398834
-         9.67708969116
-         9.70031166077
-         9.72358894348
-         9.74692249298
-         9.77031135559
-         9.79375648499
-         9.81725788116
-         9.84081554413
-         9.86442947388
-         9.88810062408
-         9.91182804108
-         9.93561267853
-         9.95945453644
-         9.98335266113
-         10.00730896
-         10.0313224792
-         10.055393219
-         10.0795221329
-         10.1037092209
-         10.1279535294
-         10.1522569656
-         10.1766176224
-         10.2010374069
-         10.2255153656
-         10.2500524521
-         10.2746477127
-         10.2993021011
-         10.324016571
-         10.3487892151
-         10.3736219406
-         10.3985137939
-         10.4234657288
-         10.4484767914
-         10.4735479355
-         10.4986801147
-         10.5238714218
-         10.549123764
-         10.5744371414
-         10.5998106003
-         10.6252450943
-         10.6507406235
-         10.6762971878
-         10.7019147873
-         10.7275943756
-         10.7533349991
-         10.7791376114
-         10.8050022125
-         10.8309288025
-         10.8569173813
-         10.8829679489
-         10.909081459
-         10.9352579117
-         10.9614963531
-         10.9877977371
-         11.0141630173
-         11.0405912399
-         11.0670824051
-         11.0936374664
-         11.120256424
-         11.146938324
-         11.1736850739
-         11.2004957199
-         11.2273702621
-         11.2543096542
-         11.2813138962
-         11.308382988
-         11.3355169296
-         11.3627147675
-         11.3899793625
-         11.4173088074
-         11.4447031021
-         11.4721641541
-         11.4996900558
-         11.5272827148
-         11.5549411774
-         11.5826663971
-         11.6104574203
-         11.6383161545
-         11.6662406921
-         11.6942329407
-         11.7222919464
-         11.7504177094
-         11.7786111832
-         11.8068723679
-         11.8352022171
-         11.8635988235
-         11.8920640945
-         11.9205970764
-         11.9491996765
-         11.9778699875
-         12.006608963
-         12.0354166031
-         12.0642938614
-         12.0932407379
-         12.122256279
-         12.1513414383
-         12.1804971695
-         12.2097225189
-         12.2390174866
-         12.2683830261
-         12.2978181839
-         12.3273248672
-         12.3569021225
-         12.3865499496
-         12.4162693024
-         12.4460601807
-         12.4759216309
-         12.5058555603
-         12.5358610153
-         12.5659379959
-         12.5960874557
-         12.6263093948
-         12.6566038132
-         12.6869707108
-         12.7174100876
-         12.7479228973
-         12.77850914
-         12.8091678619
-         12.8399009705
-         12.8707075119
-         12.9015874863
-         12.9325418472
-         12.9635705948
-         12.9946737289
-         13.0258512497
-         13.057103157
-         13.0884304047
-         13.1198329926
-         13.1513109207
-         13.1828641891
-         13.2144927979
-         13.2461977005
-         13.2779788971
-         13.309835434
-         13.3417692184
-         13.3737792969
-         13.4058656693
-         13.4380292892
-         13.4702701569
-         13.5025882721
-         13.5349836349
-         13.5674571991
-         13.6000089645
-         13.6326379776
-         13.665345192
-         13.6981315613
-         13.7309961319
-         13.7639389038
-         13.7969617844
-         13.8300638199
-         13.8632440567
-         13.8965044022
-         13.9298448563
-         13.963265419
-         13.9967660904
-         14.0303468704
-         14.0640077591
-         14.0977497101
-         14.1315727234
-         14.165476799
-         14.199461937
-         14.2335290909
-         14.2676773071
-         14.3019075394
-         14.3362207413
-         14.3706150055
-         14.4050922394
-         14.4396524429
-         14.4742956161
-         14.509021759
-         14.5438308716
-         14.5787229538
-         14.613699913
-         14.6487598419
-         14.6839036942
-         14.7191324234
-         14.7544460297
-         14.7898435593
-         14.8253259659
-         14.8608942032
-         14.8965473175
-         14.9322853088
-         14.9681100845
-         15.0040197372
-         15.0400161743
-         15.0760984421
-         15.1122674942
-         15.1485242844
-         15.1848669052
-         15.2212963104
-         15.2578144073
-         15.2944192886
-         15.331111908
-         15.3678922653
-         15.4047613144
-         15.4417181015
-         15.478764534
-         15.5158987045
-         15.5531225204
-         15.5904359818
-         15.6278390884
-         15.6653308868
-         15.7029132843
-         15.7405853271
-         15.7783479691
-         15.81620121
-         15.85414505
-         15.8921804428
-         15.9303064346
-         15.9685239792
-         16.0068340302
-         16.0452346802
-         16.0837268829
-         16.1223125458
-         16.1609916687
-         16.1997623444
-         16.2386264801
-         16.2775821686
-         16.3166332245
-         16.3557777405
-         16.3950157166
-         16.4343471527
-         16.4737739563
-         16.51329422
-         16.5529098511
-         16.5926208496
-         16.6324272156
-         16.672328949
-         16.7123260498
-         16.7524185181
-         16.7926082611
-         16.8328933716
-         16.8732757568
-         16.9137554169
-         16.9543304443
-         16.9950046539
-         17.035774231
-         17.0766429901
-         17.1176109314
-         17.1586761475
-         17.1998386383
-         17.2411003113
-         17.2824611664
-         17.323923111
-         17.3654823303
-         17.4071407318
-         17.4489002228
-         17.4907608032
-         17.5327205658
-         17.5747795105
-         17.616941452
-         17.659204483
-         17.7015686035
-         17.7440338135
-         17.7866001129
-         17.8292694092
-         17.8720417023
-         17.9149150848
-         17.9578914642
-         18.0009727478
-         18.0441551208
-         18.0874423981
-         18.1308326721
-         18.1743278503
-         18.2179279327
-         18.261631012
-         18.3054389954
-         18.3493537903
-         18.393371582
-         18.4374961853
-         18.4817256927
-         18.5260620117
-         18.5705051422
-         18.6150550842
-         18.6597099304
-         18.7044734955
-         18.7493438721
-         18.7943210602
-         18.8394069672
-         18.884601593
-         18.9299049377
-         18.975315094
-         19.0208358765
-         19.0664653778
-         19.112203598
-         19.1580505371
-         19.2040100098
-         19.2500782013
-         19.296257019
-         19.342546463
-         19.3889465332
-         19.435459137
-         19.4820823669
-         19.5288181305
-         19.5756645203
-         19.622625351
-         19.6696968079
-         19.7168827057
-         19.7641811371
-         19.8115921021
-         19.8591175079
-         19.9067573547
-         19.9545097351
-         20.0023784637
-         20.0503616333
-         20.0984592438
-         20.1466732025
-         20.1950016022
-         20.2434463501
-         20.2920093536
-         20.3406867981
-         20.3894805908
-         20.4383907318
-         20.4874210358
-         20.5365657806
-         20.5858306885
-         20.6352119446
-         20.6847133636
-         20.7343330383
-         20.7840709686
-         20.8339290619
-         20.8839054108
-         20.9340019226
-         20.9842205048
-         21.0345573425
-         21.0850162506
-         21.1355953217
-         21.186296463
-         21.2371177673
-         21.288061142
-         21.3391284943
-         21.3903160095
-         21.4416275024
-         21.493062973
-         21.5446205139
-         21.5963020325
-         21.6481075287
-         21.7000370026
-         21.7520904541
-         21.8042697906
-         21.8565750122
-         21.9090042114
-         21.9615592957
-         22.0142402649
-         22.0670490265
-         22.1199836731
-         22.1730442047
-         22.2262325287
-         22.279548645
-         22.3329925537
-         22.3865642548
-         22.4402656555
-         22.4940948486
-         22.5480537415
-         22.6021404266
-         22.6563587189
-         22.7107067108
-         22.7651844025
-         22.8197917938
-         22.8745326996
-         22.9294033051
-         22.9844055176
-         23.0395393372
-         23.0948066711
-         23.1502056122
-         23.2057361603
-         23.2614021301
-         23.317199707
-         23.3731327057
-         23.4291992188
-         23.4854011536
-         23.5417366028
-         23.5982074738
-         23.6548137665
-         23.711555481
-         23.7684326172
-         23.8254470825
-         23.882598877
-         23.9398880005
-         23.9973125458
-         24.0548763275
-         24.1125774384
-         24.1704177856
-         24.228395462
-         24.2865142822
-         24.3447704315
-         24.4031677246
-         24.4617042542
-         24.5203800201
-         24.5791988373
-         24.6381568909
-         24.6972579956
-         24.7565002441
-         24.8158836365
-         24.87541008
-         24.9350795746
-         24.9948921204
-         25.0548477173
-         25.1149463654
-         25.1751899719
-         25.235578537
-         25.2961101532
-         25.3567886353
-         25.4176120758
-         25.4785823822
-         25.5396976471
-         25.6009597778
-         25.6623687744
-         25.7239246368
-         25.7856292725
-         25.8474807739
-         25.9094810486
-         25.9716300964
-         26.0339279175
-         26.0963764191
-         26.1589736938
-         26.2217216492
-         26.2846183777
-         26.3476676941
-         26.410867691
-         26.4742183685
-         26.5377216339
-         26.6013774872
-         26.6651859283
-         26.7291469574
-         26.7932605743
-         26.8575305939
-         26.9219532013
-         26.986530304
-         27.0512619019
-         27.116147995
-         27.1811904907
-         27.246389389
-         27.3117446899
-         27.3772563934
-         27.4429264069
-         27.5087528229
-         27.5747356415
-         27.6408786774
-         27.7071800232
-         27.773639679
-         27.840259552
-         27.9070396423
-         27.9739780426
-         28.0410785675
-         28.1083393097
-         28.1757621765
-         28.2433452606
-         28.3110904694
-         28.3789997101
-         28.4470710754
-         28.5153045654
-         28.5837039948
-         28.6522655487
-         28.7209911346
-         28.7898826599
-         28.8589401245
-         28.9281616211
-         28.9975509644
-         29.0671043396
-         29.1368255615
-         29.2067146301
-         29.2767715454
-         29.3469944
-         29.4173870087
-         29.4879493713
-         29.5586795807
-         29.6295795441
-         29.7006511688
-         29.7718906403
-         29.8433017731
-         29.9148845673
-         29.9866390228
-         30.0585670471
-         30.1306648254
-         30.2029380798
-         30.2753829956
-         30.3480014801
-         30.4207954407
-         30.49376297
-         30.5669059753
-         30.6402225494
-         30.713716507
-         30.7873878479
-         30.8612346649
-         30.9352588654
-         31.0094604492
-         31.0838394165
-         31.1583976746
-         31.233133316
-         31.3080501556
-         31.3831443787
-         31.4584197998
-         31.5338764191
-         31.6095142365
-         31.6853313446
-         31.7613315582
-         31.8375148773
-         31.9138793945
-         31.9904289246
-         32.0671615601
-         32.144077301
-         32.2211761475
-         32.2984619141
-         32.3759307861
-         32.4535903931
-         32.5314331055
-         32.6094589233
-         32.6876754761
-         32.7660827637
-         32.8446731567
-         32.9234542847
-         33.0024223328
-         33.0815811157
-         33.1609306335
-         33.2404708862
-         33.3201980591
-         33.4001197815
-         33.4802322388
-         33.5605354309
-         33.6410331726
-         33.7217254639
-         33.80260849
-         33.8836860657
-         33.9649581909
-         34.0464248657
-         34.1280860901
-         34.2099456787
-         34.2919998169
-         34.3742523193
-         34.4566993713
-         34.5393486023
-         34.6221923828
-         34.7052345276
-         34.7884788513
-         34.8719177246
-         34.9555625916
-         35.0394020081
-         35.1234474182
-         35.2076911926
-         35.2921409607
-         35.376789093
-         35.461643219
-         35.5466995239
-         35.6319580078
-         35.7174224854
-         35.8030929565
-         35.8889694214
-         35.9750518799
-         36.0613365173
-         36.1478309631
-         36.2345352173
-         36.3214454651
-         36.4085617065
-         36.4958877563
-         36.5834274292
-         36.6711730957
-         36.7591285706
-         36.8472976685
-         36.9356765747
-         37.024269104
-         37.1130714417
-         37.2020874023
-         37.2913169861
-         37.3807640076
-         37.4704208374
-         37.560295105
-         37.6503829956
-         37.740688324
-         37.8312110901
-         37.9219512939
-         38.0129051208
-         38.1040802002
-         38.1954727173
-         38.2870864868
-         38.3789176941
-         38.4709701538
-         38.563243866
-         38.6557388306
-         38.7484550476
-         38.8413925171
-         38.9345550537
-         39.0279388428
-         39.121547699
-         39.2153816223
-         39.3094406128
-         39.4037246704
-         39.4982337952
-         39.5929718018
-         39.6879348755
-         39.7831268311
-         39.8785438538
-         39.974193573
-         40.0700721741
-         40.166179657
-         40.2625198364
-         40.3590888977
-         40.4558906555
-         40.5529212952
-         40.650188446
-         40.7476882935
-         40.8454208374
-         40.9433860779
-         41.0415878296
-         41.1400260925
-         41.2387008667
-         41.3376121521
-         41.4367599487
-         41.5361442566
-         41.6357688904
-         41.7356300354
-         41.8357315063
-         41.9360771179
-         42.0366592407
-         42.1374816895
-         42.2385482788
-         42.3398551941
-         42.44140625
-         42.5432014465
-         42.6452407837
-         42.7475242615
-         42.8500518799
-         42.9528274536
-         43.0558509827
-         43.1591186523
-         43.2626342773
-         43.3663978577
-         43.4704093933
-         43.574672699
-         43.67918396
-         43.783946991
-         43.888961792
-         43.994228363
-         44.0997467041
-         44.2055206299
-         44.3115463257
-         44.4178237915
-         44.524356842
-         44.631149292
-         44.738193512
-         44.8454971313
-         44.9530563354
-         45.060874939
-         45.1689529419
-         45.2772865295
-         45.3858833313
-         45.4947395325
-         45.6038551331
-         45.7132339478
-         45.8228759766
-         45.9327812195
-         46.0429458618
-         46.153377533
-         46.2640762329
-         46.375038147
-         46.4862670898
-         46.5977592468
-         46.7095222473
-         46.8215522766
-         46.9338531494
-         47.046421051
-         47.1592559814
-         47.2723655701
-         47.3857460022
-         47.4993972778
-         47.6133232117
-         47.727519989
-         47.8419914246
-         47.9567375183
-         48.0717582703
-         48.1870574951
-         48.3026313782
-         48.4184799194
-         48.5346107483
-         48.6510162354
-         48.76770401
-         48.8846664429
-         49.001914978
-         49.1194419861
-         49.2372512817
-         49.355342865
-         49.4737205505
-         49.592376709
-         49.7113227844
-         49.8305511475
-         49.9500656128
-         50.0698661804
-         50.189956665
-         50.310333252
-         50.4309997559
-         50.5519523621
-         50.6731987
-         50.7947349548
-         50.9165611267
-         51.0386810303
-         51.1610908508
-         51.2837982178
-         51.4067993164
-         51.5300941467
-         51.6536827087
-         51.7775688171
-         51.9017524719
-         52.0262374878
-         52.1510162354
-         52.276096344
-         52.401473999
-         52.5271568298
-         52.653137207
-         52.77942276
-         52.9060058594
-         53.0328979492
-         53.1600914001
-         53.2875938416
-         53.415397644
-         53.543510437
-         53.6719284058
-         53.800655365
-         53.9296913147
-         54.0590362549
-         54.1886901855
-         54.3186569214
-         54.4489364624
-         54.5795249939
-         54.7104301453
-         54.8416481018
-         54.9731788635
-         55.1050262451
-         55.2371902466
-         55.3696708679
-         55.5024681091
-         55.6355857849
-         55.7690200806
-         55.9027786255
-         56.0368537903
-         56.1712532043
-         56.305973053
-         56.4410171509
-         56.576385498
-         56.7120780945
-         56.8480949402
-         56.9844398499
-         57.1211090088
-         57.2581100464
-         57.3954353333
-         57.5330924988
-         57.6710777283
-         57.8093948364
-         57.9480438232
-         58.0870285034
-         58.2263412476
-         58.3659896851
-         58.5059738159
-         58.6462936401
-         58.7869491577
-         58.9279441833
-         59.0692749023
-         59.2109451294
-         59.3529548645
-         59.4953079224
-         59.6380004883
-         59.7810325623
-         59.9244117737
-         60.0681304932
-         60.2122001648
-         60.3566093445
-         60.5013656616
-         60.6464729309
-         60.7919235229
-         60.9377250671
-         61.0838775635
-         61.230381012
-         61.3772315979
-         61.5244369507
-         61.6719970703
-         61.8199081421
-         61.9681739807
-         62.1167984009
-         62.2657775879
-         62.4151115417
-         62.5648078918
-         62.7148590088
-         62.865272522
-         63.0160484314
-         63.1671829224
-         63.3186798096
-         63.4705429077
-         63.6227684021
-         63.7753562927
-         63.928314209
-         64.0816345215
-         64.2353286743
-         64.3893890381
-         64.5438156128
-         64.6986160278
-         64.8537826538
-         65.0093307495
-         65.1652450562
-         65.3215332031
-         65.4781951904
-         65.6352386475
-         65.7926559448
-         65.9504470825
-         66.1086196899
-         66.2671737671
-         66.4261016846
-         66.5854187012
-         66.7451095581
-         66.9051895142
-         67.0656509399
-         67.2265014648
-         67.3877334595
-         67.5493545532
-         67.7113571167
-         67.8737564087
-         68.0365371704
-         68.1997146606
-         68.36328125
-         68.5272369385
-         68.6915893555
-         68.856338501
-         69.0214767456
-         69.1870193481
-         69.3529510498
-         69.51927948
-         69.6860122681
-         69.8531417847
-         70.0206756592
-         70.1886062622
-         70.3569412231
-         70.5256881714
-         70.6948318481
-         70.8643798828
-         71.0343399048
-         71.2046966553
-         71.3754730225
-         71.5466537476
-         71.71824646
-         71.8902511597
-         72.0626678467
-         72.235496521
-         72.408744812
-         72.5824050903
-         72.7564849854
-         72.9309768677
+         2.80069804192
+         2.82773923874
+         2.85504126549
+         2.88260602951
+         2.91043663025
+         2.93853521347
+         2.9669046402
+         2.99554729462
+         3.02446579933
+         3.05366301537
+         3.0831413269
+         3.11290383339
+         3.14295315742
+         3.17329192162
+         3.20392274857
+         3.23484897614
+         3.26607298851
+         3.29759788513
+         3.32942652702
+         3.36156177521
+         3.39400649071
+         3.42676401138
+         3.45983695984
+         3.49322867393
+         3.52694201469
+         3.56098008156
+         3.59534597397
+         3.6300432682
+         3.66507458687
+         3.70044350624
+         3.73615336418
+         3.77220702171
+         3.80860805511
+         3.84535980225
+         3.88246560097
+         3.91992902756
+         3.95775318146
+         3.99594187737
+         4.03449821472
+         4.07342624664
+         4.11272954941
+         4.15241098404
+         4.19247531891
+         4.2329249382
+         4.27376461029
+         4.31499814987
+         4.35662841797
+         4.39865970612
+         4.44109630585
+         4.48394155502
+         4.52719974518
+         4.57087421417
+         4.61496973038
+         4.65949010849
+         4.70443964005
+         4.74982213974
+         4.79564142227
+         4.84190273285
+         4.88860940933
+         4.93576574326
+         4.98337697983
+         5.03144645691
+         5.07997941971
+         5.12897968292
+         5.17845201492
+         5.22840118408
+         5.27883148193
+         5.32974767685
+         5.3811545372
+         5.43305635452
+         5.48545837402
+         5.53836488724
+         5.59178161621
+         5.64571285248
+         5.70016336441
+         5.75513887405
+         5.81064367294
+         5.86668348312
+         5.92326307297
+         5.98038768768
+         6.03806304932
+         6.0962934494
+         6.15508556366
+         6.21444368362
+         6.27437353134
+         6.33488082886
+         6.39597129822
+         6.45765018463
+         6.51992321014
+         6.5827960968
+         6.64627504349
+         6.71036529541
+         6.77507305145
+         6.8404045105
+         6.90636491776
+         6.97296094894
+         7.04019880295
+         7.10808420181
+         7.17662382126
+         7.24582338333
+         7.31569004059
+         7.38622951508
+         7.45744848251
+         7.52935409546
+         7.60195207596
+         7.67524957657
+         7.74925327301
+         7.823969841
+         7.89940643311
+         7.97556972504
+         8.05246639252
+         8.13010406494
+         8.2084903717
+         8.28763103485
+         8.36753463745
+         8.44820785522
+         8.52965831757
+         8.61189365387
+         8.69492053986
+         8.77874851227
+         8.86338329315
+         8.94883346558
+         9.03510761261
+         9.12221240997
+         9.21015548706
+         9.29894733429
+         9.38859367371
+         9.47910404205
+         9.57048606873
+         9.66274929047
+         9.755900383
+         9.84994983673
+         9.94490528107
+         10.0407743454
+         10.1375684738
+         10.235294342
+         10.3339614868
+         10.4335803986
+         10.534157753
+         10.6357049942
+         10.7382297516
+         10.8417434692
+         10.9462528229
+         11.0517702103
+         11.1583042145
+         11.2658643723
+         11.3744602203
+         11.4841032028
+         11.5948019028
+         11.7065668106
+         11.8194093704
+         11.9333381653
+         12.0483646393
+         12.1645002365
+         12.28175354
+         12.4001379013
+         12.5196619034
+         12.6403369904
+         12.76217556
+         12.885187149
+         13.0093841553
+         13.1347780228
+         13.2613801956
+         13.3892011642
+         13.5182542801
+         13.6485500336
+         13.7801017761
+         13.9129209518
+         14.0470190048
+         14.1824092865
+         14.3191041946
+         14.457116127
+         14.5964574814
+         14.7371416092
+         14.8791799545
+         15.0225877762
+         15.1673774719
+         15.3135614395
+         15.4611539841
+         15.610168457
+         15.7606182098
+         15.9125175476
+         16.0658798218
+         16.2207202911
+         16.3770542145
+         16.5348911285
+         16.6942501068
+         16.8551445007
+         17.0175895691
+         17.1815986633
+         17.3471889496
+         17.5143737793
+         17.6831684113
+         17.8535900116
+         18.0256538391
+         18.1993751526
+         18.3747711182
+         18.5518550873
+         18.7306461334
+         18.9111595154
+         19.0934104919
+         19.2774200439
+         19.4632015228
+         19.6507720947
+         19.8401489258
+         20.0313510895
+         20.224395752
+         20.4193000793
+         20.6160831451
+         20.8147602081
+         21.0153522491
+         21.2178783417
+         21.4223537445
+         21.6287994385
+         21.8372325897
+         22.0476760864
+         22.2601470947
+         22.4746627808
+         22.6912479401
+         22.9099178314
+         23.130695343
+         23.3535995483
+         23.5786514282
+         23.8058700562
+         24.0352783203
+         24.2668991089
+         24.500749588
+         24.7368526459
+         24.9752311707
+         25.2159042358
+         25.4588985443
+         25.7042331696
+         25.9519309998
+         26.2020149231
+         26.4545097351
+         26.7094364166
+         26.9668178558
+         27.2266807556
+         27.4890460968
+         27.7539386749
+         28.0213832855
+         28.2914066315
+         28.5640296936
+         28.8392791748
+         29.117181778
+         29.3977603912
+         29.6810417175
+         29.9670524597
+         30.2558193207
+         30.5473690033
+         30.8417263031
+         31.1389198303
+         31.4389762878
+         31.7419242859
+         32.0477905273
+         32.3566055298
+         32.6683921814
+         32.9831848145
+         33.3010101318
+         33.6218948364
+         33.9458732605
+         34.2729721069
+         34.603225708
+         34.9366569519
+         35.2733001709
+         35.6131896973
+         35.9563522339
+         36.302822113
+         36.6526260376
+         37.0058059692
+         37.3623847961
+         37.7224006653
+         38.0858802795
+         38.4528656006
+         38.823387146
+         39.197479248
+         39.5751724243
+         39.9565048218
+         40.3415107727
+         40.7302284241
+         41.1226882935
+         41.5189323425
+         41.9189910889
+         42.3229064941
+         42.7307090759
+         43.1424446106
+         43.5581474304
+         43.9778518677
+         44.401599884
+         44.8294334412
+         45.2613868713
+         45.6975021362
+         46.1378173828
+         46.5823783875
+         47.0312194824
+         47.4843864441
+         47.9419174194
+         48.4038581848
+         48.8702468872
+         49.341129303
+         49.8165512085
+         50.2965507507
+         50.7811737061
+         51.2704696655
+         51.7644767761
+         52.2632446289
+         52.7668151855
+         53.2752380371
+         53.7885627747
+         54.3068275452
+         54.8300895691
+         55.3583908081
+         55.891784668
+         56.4303131104
+         56.9740333557
+         57.5229873657
+         58.0772323608
+         58.6368179321
+         59.2017974854
+         59.7722167969
+         60.3481292725
+         60.9295921326
+         61.516658783
+         62.1093788147
+         62.7078132629
+         63.3120079041
+         63.9220275879
+         64.5379257202
+         65.1597518921
+         65.7875671387
+         66.4214401245
+         67.061416626
+         67.7075500488
+         68.359916687
+         69.0185699463
+         69.6835632324
+         70.35496521
+         71.0328369141
+         71.7172393799
+         72.4082336426
          73.1058883667
 }