SN 1987K IIb in NGC 4651 (Sc)
OBJ: SN 1987K in NGC 4651 (Sc) in Virgo. See
Leda: NGC 4651.
DISCOVERY: 1987jul28 by the Berkeley Automated Supernova Search {filippenko1988}
MAX: 1987jul31 +/- 4 in an ill-defined redside of the optical band (the ``red'' band) {filippenko1988}.
This day of the year 213 remembering that 1988 was a leap year.
SUPERNOVA of the YEAR: 11.
HEADER: D. J. Jeffery (2006jan01).
REF:
{filippenko1988}
\bibitem[Filippenko(1988)]{filippenko1988}
Filippenko, A. V. 1988, AJ, 96, 1941
%
% ADS Reference
% Supernova 1987K - Type II in youth, type Ib in old age.
% SN 1987K IIb in NGC 4651. Alex introduces the name IIb.
REP: F_nu ??? vs. lambda (ang) (iformat = -2)
COR: deredshifted ??? (heliocentric velocity 799 +/- 2 km/s and
v_hel corrected for CMB radiation 1108 km/s from
Leda: NGC 4651.
not dereddened ??? (Galactic foreground 0.12 =.03
Schlegel et al. (1998)
not smoothed ????, not photometric ????
OBS: {filippenko1988}: See his log of observations for the details.
Date: 1987jul31 (213 for a leap year) with 1987jul31 (213) for ``red'' maximum gives:
day = 213 - 213 = 0
&specnamelist
aname='sn1987k IIb 1987_07_31'
ebv=.03
epoch= 0. ! This parameter needs to updated for the particular spectrum.
iformat=-2 ! This means already deredshifted (negative) and in fnu format (2).
itick=4
itickln=4
scale_flux=1.d-11
t_rise=20.d0 ! default. Alex actually guess at 20 days {filippenko1988} too.
v_helio=799.
ymin2=3.8d0
ymax2=6.5d0
ymin3=.75
ymax3=1.3
wlammin1=4275.000
wlammax1=7140.000
wlammin2=4275.000
wlammax2=7140.000
wlammin3=4400. ! Really a guess.
wlammax3=6690. ! Really a guess.
/
Postscript plot of the spectrum.
Postscript plot of the spectrum with local normalization.
Information from Alex Filippenko.
From: IN%"alex%avf.hepnet@Csa1.LBL.gov" 9-APR-1990 13:13:45.14
To: branch@phyast.nhn.uoknor.edu
CC:
Subj: SN 1987K, July 31 1987
OBJ: SN II/Ib/c 1987K in NGC 4651 Maybe a IIb.
DATE: July 31 1987
OBS: A. V. Filippenko
REP: F_nu vs. lambda
COR: normalized somehow, corrected for redshift (Galaxy and Earth), not
corrected for reddening
REF: Filippenko 1988, AJ, 96, 1941
Return-path: alex%avf.hepnet@Csa1.LBL.gov
Received: from Csa1.LBL.Gov by phyast.nhn.uoknor.edu; Mon, 9 Apr 90 13:12 CDT
Received: from avf.hepnet by Csa1.LBL.Gov with VMSmail ; Mon, 9 Apr 90 11:10:54
PDT
Date: Mon, 9 Apr 90 11:10:54 PDT
From: alex%avf.hepnet@Csa1.LBL.gov
Subject: SN 1987K, July 31 1987
To: branch@phyast.nhn.uoknor.edu
Message-Id: <900409111054.2fa018ac@Csa1.LBL.Gov>
X-ST-Vmsmail-To: @BRANCH.MAIL
END:
4275.544179271849316 0.959426864763481
4276.969598221563501 0.961208362313243
4278.395492390130130 0.962990453794511
4279.821861935978632 0.964773139405288
4281.248707017593915 0.965653051773574
4282.676027793509093 0.966404341906113
4284.103824422326397 0.967155882510442
4285.532097062683533 0.966715062344181
4286.960845873278231 0.964264789879209
4288.390071012855515 0.961813700520614
4289.819772640227711 0.959361793996038
4291.249950914245346 0.959766728534028
4292.680605993817153 0.960583974219444
4294.111738037900977 0.961401492365494
4295.543347205521059 0.963621728871353
4296.975433655738925 0.968136183061986
4298.407997547676132 0.972652142321514
4299.841039040501528 0.977169607151694
4301.274558293451264 0.978799907879627
4302.708555465801510 0.980070361498767
4304.143030716883914 0.981341238673035
4305.577984206081055 0.980893208017820
4307.013416092840998 0.977894948753961
4308.449326536651824 0.974895689903758
4309.885715697058913 0.971895431133961
4311.322583733655847 0.968086149167629
4312.759930806104421 0.964205752785035
4314.197757074106448 0.960324062721376
4315.636062697418311 0.956719878326139
4317.074847835848232 0.953466249670880
4318.514112649269919 0.950211536291950
4319.953857297598006 0.946955737827720
4321.394081940803517 0.944685335881027
4322.834786738911134 0.942446839448599
4324.275971851995564 0.940207596726325
4325.717637440196995 0.938557120311824
4327.159783663694725 0.937501054512653
4328.602410682729897 0.936444636632871
4330.045518657587309 0.935369222642881
4331.489107748622700 0.933720822964181
4332.933178116230920 0.932071873727331
4334.377729920862294 0.930422374749120
4335.822763323019899 0.927384710735794
4337.268278483270478 0.923296206895386
4338.714275562223520 0.919206339993199
4340.160754720545810 0.915275024351412
4341.607716118950520 0.912621830982657
4343.055159918222671 0.909967753068687
4344.503086279182753 0.907312790314615
4345.951495362713104 0.907915426320345
4347.400387329743353 0.910220557582817
4348.849762341269525 0.912526457350460
4350.299620558328570 0.915301545538267
4351.749962142017466 0.919876412641691
4353.200787253479575 0.924452804954989
4354.652096053927380 0.929030722986679
4356.103888704612473 0.934233648698372
4357.556165366844652 0.939634872277930
4359.008926201984650 0.945037896565435
4360.462171371458680 0.950034525790749
4361.915901036734795 0.954157198447255
4363.370115359336523 0.958281245557040
4364.824814500844695 0.962406667578334
4366.279998622888343 0.962819063959051
4367.735667887162890 0.962723061238601
4369.191822455404690 0.962627026511910
4370.648462489409212 0.962164999071960
4372.105588151020129 0.961246569432761
4373.563199602150235 0.960327833599316
4375.021297004752341 0.959438327108577
4376.479880520835650 0.960541807458300
4377.938950312460292 0.961645655696114
4379.398506541756433 0.962749871944676
4380.858549370890614 0.963830558439604
4382.319078962090316 0.964894856955344
4383.780095477632130 0.965959510296386
4385.241599079860862 0.967015507671519
4386.703589931160423 0.968026343214108
4388.166068193973842 0.969037515758042
4389.629034030795083 0.970049025415669
4391.092487604185408 0.972062482269481
4392.556429076744280 0.974416831262215
4394.020858611133917 0.976771965168761
4395.485776370063832 0.975327836184834
4396.951182516310837 0.966221212854003
4398.417077212693584 0.957111553476084
4399.883460622088933 0.947998857038893
4401.350332907425582 0.948351938540735
4402.817694231695896 0.949522608627600
4404.285544757937714 0.950693669002872
4405.753884649244355 0.951836266548765
4407.222714068760069 0.952951891732165
4408.692033179698228 0.954067888852615
4410.161842145310402 0.955338632875702
4411.632141128910007 0.957857834474427
4413.102930293863210 0.960377875946991
4414.574209803586200 0.962898757573388
4416.045979821564288 0.968152009491864
4417.518240511321892 0.974519315683102
4418.990992036444368 0.980888744663517
4420.464234560566183 0.987085677715032
4421.937968247389108 0.992905017103075
4423.412193260658569 0.998726296594250
4424.886909764175471 1.004549516835360
4426.362117921793470 1.005670674140243
4427.837817897434434 1.006401523695905
4429.314009855059339 1.007132616908693
4430.790693958689189 1.008692282116705
4432.267870372396828 1.010971347790320
4433.745539260321493 1.013251173279130
4435.223700786643349 1.016054719413018
4436.702355115603496 1.021792816303420
4438.181502411492147 1.027532826211587
4439.661142838667729 1.033274749775331
4441.141276561530503 1.037265883334850
4442.621903744539850 1.040737777433959
4444.103024552205170 1.044210829023994
4445.584639149104987 1.046715373587289
4447.066747699857842 1.047732560664618
4448.549350369142303 1.048750086860823
4450.032447321687869 1.049800735157294
4451.516038722293160 1.052317873556395
4453.000124735795907 1.054835851141485
4454.484705527094775 1.057354668192340
4455.969781261138451 1.060511649880640
4457.455352102944744 1.064008440341283
4458.941418217572391 1.067506396593035
4460.427979770141064 1.070431768640162
4461.915036925822278 1.071938506369325
4463.402589849841206 1.073445746428110
4464.890638707490325 1.074953488983998
4466.379183664103948 1.074103450200649
4467.868224885075506 1.073066067390669
4469.357762535850270 1.072028338728783
4470.847796781940815 1.069965835500712
4472.338327788902461 1.067126343325107
4473.829355722349646 1.064285904494342
4475.320880747947740 1.061543803097930
4476.812903031430324 1.059163119846421
4478.305422738573725 1.056781642901553
4479.798440035212479 1.054399371998718
4481.291955087233873 1.055133565462347
4482.785968060593405 1.056354494297140
4484.280479121286589 1.057575830176047
4485.775488435370789 1.060134288468439
4487.270996168954298 1.063934256742217
4488.767002488212711 1.067735491883230
4490.263507559365280 1.071285074038183
4491.760511548690374 1.073651987255266
4493.258014622516384 1.076019689574923
4494.756016947241733 1.078388181260247
4496.254518689307588 1.080375762891280
4497.753520015212416 1.082289748161151
4499.253021091509254 1.084204371532452
4500.753022084817530 1.086049617145124
4502.253523161799421 1.087826000609307
4503.754524489178038 1.089602976300012
4505.256026233730154 1.091325932956098
4506.758028562285290 1.092783710359790
4508.260531641741181 1.094241973770284
4509.763535639039219 1.095700723349606
4511.267040721179001 1.096970981186918
4512.771047055211966 1.098206382292612
4514.275554808260495 1.099442195267319
4515.780564147485165 1.099542919079333
4517.286075240111131 1.098589461243685
4518.792088253411748 1.097635685535786
4520.298603354732222 1.096291731939832
4521.805620711456868 1.093369741301092
4523.313140491032755 1.090446776503123
4524.821162860958793 1.087522837221156
4526.329687988800288 1.086917924536916
4527.838716042167107 1.086624944111783
4529.348247188730056 1.086331866010230
4530.858281596208144 1.087298895947256
4532.368819432394957 1.089223529048970
4533.879860865120463 1.091148803801984
4535.391406062281021 1.092120771687784
4536.903455191819376 1.090362110636451
4538.416008421751030 1.088602863267048
4539.929065920132416 1.086843029384109
4541.442627855081810 1.083295550635116
4542.956694394767510 1.079658990167216
4544.471265707428756 1.076021217310430
4545.986341961345715 1.073219920867482
4547.501923324861309 1.070866888337951
4549.018009966368481 1.068513071333512
4550.534602054330207 1.066087488524902
4552.051699757253118 1.063530671181790
4553.569303243702961 1.060973001424168
4555.087412682301874 1.058455326417927
4556.606028241723834 1.056605591406249
4558.125150090714669 1.054755239713453
4559.644778398060225 1.052904271133950
4561.164913332607284 1.052469140547721
4562.685555063256288 1.052465934110394
4564.206703758976801 1.052462726604077
4565.728359588779313 1.052523324773431
4567.250522721738889 1.052653461728282
4568.773193326977889 1.052783642069349
4570.296371573692340 1.052657886389934
4571.820057631119198 1.051472128969458
4573.344251668557263 1.050285976230626
4574.868953855356267 1.049099428041647
4576.394164360937793 1.047439402766141
4577.919883354765261 1.045734341370366
4579.446111006361207 1.044028711526057
4580.972847485303646 1.043253618972759
4582.500092961237897 1.043008568261981
4584.027847603853843 1.042763435854018
4585.556111582902304 1.042613972773462
4587.084885068185031 1.042631900446921
4588.614168229575625 1.042649834097267
4590.143961236989526 1.042507574349654
4591.674264260404016 1.040822606065337
4593.205077469848220 1.039137076031311
4594.736401035421295 1.037450984060285
4596.268235127266053 1.035842882955999
4597.800579915586241 1.034250578181519
4599.333435570641996 1.032657742550310
4600.866802262746205 1.030402240696862
4602.400680162281787 1.027636640143607
4603.935069439676226 1.024870117569839
4605.469970265416123 1.021479080640977
4607.005382810041738 1.016673411828210
4608.541307244163363 1.011866140858815
4610.077743738435856 1.007140597258676
4611.614692463572283 1.003977507443905
4613.152153590342095 1.000813363090125
4614.690127289582961 0.997648163845744
4616.228613732176200 0.995196501167699
4617.767613089064071 0.992924310769485
4619.307125531242491 0.990651362848230
4620.847151229777410 0.987554476255237
4622.387690355778432 0.983783063303495
4623.928743080417007 0.980010393004556
4625.470309574915518 0.976458484931192
4627.012390010569106 0.973411271709342
4628.554984558714750 0.970363042580444
4630.098093390753093 0.967464793260085
4631.641716678134799 0.966790644756694
4633.185854592383293 0.966116271499676
4634.730507305064748 0.965441673414103
4636.275674987808088 0.965223166341254
4637.821357812292263 0.965101017569013
4639.367555950270798 0.964978828073727
4640.914269573537240 0.964383867926160
4642.461498853950616 0.963461590481617
4644.009243963419067 0.962539005560019
4645.557505073923494 0.961358758380512
4647.106282357489363 0.959720613888610
4648.655575986203075 0.958081923257525
4650.205386132207423 0.956201259280735
4651.755712967698855 0.952739099646091
4653.306556664945674 0.949275785765861
4654.857917396258927 0.945811317255244
4656.409795334012415 0.941160154950031
4657.962190650632692 0.936387920682624
4659.515103518616343 0.931614095405294
4661.068534110505425 0.927568326839077
4662.622482598902934 0.923852431289070
4664.176949156465525 0.920135296900761
4665.731933955920795 0.916773600606594
4667.287437170039993 0.913811996618486
4668.843458971657128 0.910849405264496
4670.399999533658956 0.908050077970351
4671.957059029003176 0.905724886028841
4673.514637630692050 0.903398918894158
4675.072735511790597 0.901180140425697
4676.631352845414767 0.901166137787920
4678.190489804754179 0.901152130481819
4679.750146563042108 0.901138118505837
4681.310323293572765 0.902199126389791
4682.871020169695839 0.903465542833172
4684.432237364830144 0.904732381485735
4685.993975052440874 0.904609894880988
4687.556233406052343 0.903693273241520
4689.119012599246162 0.902776346010579
4690.682312805673064 0.900893970457785
4692.246134199029257 0.897764380788077
4693.810476953070975 0.894633747747928
4695.375341241609931 0.891836679554592
4696.940727238530599 0.890099466348507
4698.506635117758378 0.888361673974832
4700.073065053284154 0.886685385185432
4701.640017219155197 0.886277863913221
4703.207491789472442 0.885870206777946
4704.775488938410490 0.885462413734306
4706.344008840183960 0.885246143887461
4707.913051669075685 0.885061828472731
4709.482617599416699 0.884877451609290
4711.052706805614434 0.885506667678802
4712.623319462117252 0.886536120207898
4714.194455743438084 0.887565915945034
4715.766115824143526 0.888638111321944
4717.338299878871112 0.889754899660736
4718.911008082303852 0.890872060324360
4720.484240609186600 0.891735645008578
4722.057997634318781 0.892028231389015
4723.632279332570761 0.892320915314502
4725.207085878859289 0.892439765414687
4726.782417448162050 0.891409523746516
4728.358274215510392 0.890378938607217
4729.934656356011146 0.889348009882273
4731.511564044811166 0.888830915712951
4733.088997457123696 0.888335884054678
4734.666956768213822 0.887840687358350
4736.245442153419390 0.890262044861387
4737.824453788123719 0.893464428489432
4739.403991847771977 0.896667879756615
4740.984056507863897 0.900237040330651
4742.564647943971977 0.904028314772042
4744.145766331712366 0.907820853182230
4745.727411846764880 0.910582140333776
4747.309584664868453 0.912131412525974
4748.892284961814767 0.913681201228312
4750.475512913469174 0.915270041052930
4752.059268695740684 0.916949207108607
4753.643552484602878 0.918628932979600
4755.228364456081181 0.920328471744267
4756.813704786277412 0.922142974269971
4758.399573651334322 0.923958081730667
4759.985971227459231 0.925773794328033
4761.572897690914942 0.926381823747364
4763.160353218036107 0.926979275483499
4764.748337985201033 0.927576926403409
4766.336852168852602 0.928445105831376
4767.925895945487355 0.929364481067381
4769.515469491676413 0.930284162812884
4771.105572984033643 0.931576637420678
4772.696206599237485 0.933032843878872
4774.287370514020040 0.934489535820123
4775.879064905186169 0.935689497123666
4777.471289949587117 0.936681272042886
4779.064045824135974 0.937673377608851
4780.657332705801309 0.939146238641166
4782.251150771624452 0.941303879531255
4783.845500198692207 0.943462239754857
4785.440381164153223 0.946005569599243
4787.035793845211629 0.949557430106426
4788.631738419146131 0.953110474764470
4790.228215063279094 0.956433968006841
4791.825223954996545 0.958374732458131
4793.422765271738172 0.960316143938731
4795.020839191019149 0.962241835198493
4796.619445890399220 0.962928967664697
4798.218585547499970 0.963616329213235
4799.818258340003922 0.964303919920479
4801.418464445647260 0.965273082928558
4803.019204042241654 0.966278628321962
4804.620477307641522 0.967284508953032
4806.222284419765856 0.968264437463851
4807.824625556588217 0.969236527618690
4809.427500896156744 0.970208941857593
4811.030910616563233 0.971918476408058
4812.634854895964963 0.974037884808705
4814.239333912573784 0.976157999796571
4815.844347844673393 0.978329839376999
4817.449896870593875 0.980548379840392
4819.055981168730796 0.982767659940540
4820.662600917531563 0.984020745734317
4822.269756295520892 0.983896182377794
4823.877447481265335 0.983771577493231
4825.485674653397837 0.983363513099827
4827.094437990605002 0.982300022915068
4828.703737671648923 0.981236178174488
4830.313573875335351 0.980412304524038
4831.923946780535516 0.980581954214409
4833.534856566173403 0.980751660464102
4835.146303411250301 0.981112858871138
4836.758287494810247 0.983391932646306
4838.370808995962761 0.985671766239362
4839.983868093871024 0.987952359903612
4841.597464967775522 0.990394001204642
4843.211599796958581 0.992838075713412
4844.826272760768916 0.995282965049483
4846.441484038608905 0.995872211124807
4848.057233809957324 0.996237839231525
4849.673522254337513 0.996603589234594
4851.290349551335567 0.996475970389442
4852.907715880599426 0.996223406817061
4854.525621421832511 0.995970759042790
4856.144066354811002 0.995400764770595
4857.763050859357463 0.994698986178863
4859.382575115358122 0.993996973621943
4861.002639302757416 0.993045721514145
4862.623243601569811 0.991940763655648
4864.244388191859798 0.990835437416470
4865.866073253752802 0.990160044181120
4867.488298967431547 0.989859970567343
4869.111065513154244 0.989559796912354
4870.734373071221853 0.989275027192071
4872.358221822003543 0.989008935883554
4873.982611945920326 0.988742755863150
4875.607543623470519 0.988586727390577
4877.233017035197918 0.988615316018276
4878.859032361709069 0.988643914177107
4880.485589783668729 0.988596821088357
4882.112689481815323 0.988371782407134
4883.740331636932751 0.988146668700515
4885.368516429868578 0.987692909730423
4886.997244041529484 0.986457436889508
4888.626514652894002 0.985221552155664
4890.256328444987048 0.984194050813590
4891.886685598899930 0.984285368937198
4893.517586295777619 0.984376717505254
4895.149030716841480 0.984628094238290
4896.781019043358356 0.986471588135851
4898.413551456660571 0.988315696633805
4900.046628138139567 0.990115981299289
4901.680249269244086 0.990404407829783
4903.314415031497447 0.990692930518480
4904.949125606469352 0.990981549397437
4906.584381175793169 0.989548636865201
4908.220181921158655 0.988059946815813
4909.856528024332874 0.986570760453689
4911.493419667126545 0.986456258633589
4913.130857031415871 0.986473875541108
4914.768840299133444 0.986491498321909
4916.407369652289162 0.988111147297950
4918.046445272933852 0.989994554939214
4919.686067343190189 0.991878590487672
4921.326236045230871 0.992120005165549
4922.966951561307724 0.991972398020896
4924.608214073718045 0.991824741665661
4926.250023764823709 0.989424540462578
4927.892380817042977 0.986317320247484
4929.535285412870508 0.983209064119666
4931.178737734846436 0.980725449845413
4932.822737965575470 0.978487761927423
4934.467286287719617 0.976249327989137
4936.112382884017279 0.975932637667838
4937.758027937250517 0.976536817964011
4939.404221630271422 0.977141199687187
4941.050964145982107 0.979119324700120
4942.698255667366539 0.981877012375438
4944.346096377450522 0.984635619433201
4945.994486459328073 0.987253844078767
4947.643426096148687 0.989780000416012
4949.292915471138258 0.992306998945736
4950.942954767568153 0.992945078522343
4952.593544168775225 0.992165840957597
4954.244683858159988 0.991386343603699
4955.896374019174800 0.989690156542951
4957.548614835353874 0.987220930672701
4959.201406490272348 0.984750881589968
4960.854749167574482 0.983283925880401
4962.508643050960018 0.982754754932541
4964.163088324204182 0.982225407564963
4965.818085171131315 0.982068617115620
4967.473633775627604 0.982293212588664
4969.129734321639262 0.982517882939345
4970.786386993186170 0.982756311640297
4972.443591974338233 0.983009967849512
4974.101349449227200 0.983263708624890
4975.759659602043030 0.983745208973484
4977.418522617054805 0.984496291121384
4979.077938678573446 0.985247623671732
4980.737907970979904 0.985743307294437
4982.398430678708792 0.985919287536530
4984.059506986273846 0.986095326448482
4985.721137078233369 0.986784817293396
4987.383321139213876 0.988144318757109
4989.046059353896453 0.989504273463508
4990.709351907040400 0.991418811906470
4992.373198983450493 0.994079434843026
4994.037600767998811 0.996740944801722
4995.702557445614730 0.998610758670835
4997.368069201302205 0.999395112534593
4999.034136220114306 1.000179727893219
5000.700758687167763 1.000104668341448
5002.367936787644794 0.998843928228420
5004.035670706781275 0.997582767798643
5005.703960629891299 0.996452247854985
5007.372806742336252 0.995500946339331
5009.042209229542095 0.994549327670316
5010.712168276992998 0.994136957877889
5012.382684070251344 0.994450351736408
5014.053756794924084 0.994763850076959
5015.725386636685471 0.995919497045165
5017.397573781267965 0.998174314568573
5019.070318414480425 1.000429883823111
5020.743620722177184 1.002760282301537
5022.417480890281695 1.005184100646104
5024.091899104772892 1.007608727064784
5025.766875551708836 1.009402033073785
5027.442410417190331 1.010447147838094
5029.118503887390034 1.011492611032060
5030.795156148533351 1.013216895423072
5032.472367386927544 1.015694148268400
5034.150137788923530 1.018172227002318
5035.828467540939528 1.020838815909994
5037.507356829451965 1.023698888851614
5039.186805841014575 1.026559915309801
5040.866814762227477 1.028041495485456
5042.547383779758093 1.028228128407441
5044.228513080332050 1.028414823550770
5045.910202850750466 1.028333848832202
5047.592453277863569 1.028025842029510
5049.275264548587074 1.027717732540770
5050.958636849896720 1.029086825371074
5052.642570368841916 1.031724850491903
5054.327065292523002 1.034363755101014
5056.012121808105803 1.037705129995010
5057.697740102817988 1.041514244520916
5059.383920363945435 1.045324628963291
5061.070662778852238 1.048313914807487
5062.757967534949785 1.050830832825953
5064.445834819714946 1.053348589956935
5066.134264820683711 1.055355094592034
5067.823257725471194 1.057111993194851
5069.512813721736165 1.058869477528152
5071.202932997207427 1.059978053124536
5072.893615739671986 1.060823866129327
5074.584862136993252 1.061669961118784
5076.276672377081923 1.062506722289722
5077.969046647916912 1.063340634566437
5079.661985137535339 1.064174824860242
5081.355488034050722 1.065145616871761
5083.049555525626602 1.066150738565439
5084.744187800491090 1.067156195355528
5086.439385046932330 1.067633686473688
5088.135147453314858 1.068017414126344
5089.831475208053234 1.068401269709538
5091.528368499627504 1.069175288510322
5093.225827516575919 1.069992586740550
5094.923852447514946 1.070810157448935
5096.622443481110167 1.073326886017453
5098.321600806092647 1.075924215480687
5100.021324611253476 1.078530161406491
5101.721615085461053 1.081747202488514
5103.422472417631070 1.084965316096309
5105.123896796747431 1.088062617902231
5106.825888411852247 1.089608526741651
5108.528447452065848 1.091154950969915
5110.231574106557673 1.092564267450484
5111.935268564562648 1.093099226060141
5113.639531015380271 1.093634363019059
5115.344361648368249 1.094101383372710
5117.049760652962505 1.094298656476308
5118.755728218646254 1.094495995348567
5120.462264534971837 1.094866904523190
5122.169369791548888 1.095705113021237
5123.877044178067081 1.096543600968691
5125.585287884261561 1.097931870934805
5127.294101099937507 1.100375251788388
5129.003484014958303 1.102819447238006
5130.713436819265553 1.105055059735829
5132.423959702849061 1.106998836864854
5134.135052855766844 1.108943262027588
5135.846716468135128 1.110001784288885
5137.558950730148354 1.110154718010627
5139.271755832050985 1.110307702718773
5140.985131964152970 1.110167867538577
5142.699079316826101 1.109811413104630
5144.413598080518568 1.109454839832732
5146.128688445727676 1.109878253477741
5147.844350603018029 1.110707241730035
5149.560584743013351 1.111536506357803
5151.277391056418310 1.113376140135425
5152.994769733983048 1.115563969204659
5154.712720966526831 1.117752527671809
5156.431244944929858 1.120170832047332
5158.150341860147819 1.122635926056795
5159.870011903186423 1.125101841901225
5161.590255265120504 1.126873008916086
5163.311072137088559 1.128587891218415
5165.032462710287291 1.130280222978091
5166.754427175992532 1.130769742596728
5168.476965725527407 1.131259425415768
5170.200078550286889 1.131730430244151
5171.923765841721433 1.132058121301129
5173.648027791363347 1.132385921606668
5175.372864590790414 1.132706826510829
5177.098276431653176 1.133002431594574
5178.824263505657655 1.133298135229770
5180.550826004589908 1.133471360889540
5182.277964120286924 1.133382917765249
5184.005678044652086 1.133294445155002
5185.733967969646983 1.133368747621684
5187.462834087316878 1.133663703193680
5189.192276589750691 1.133958757100588
5190.922295669110099 1.134472425965223
5192.652891517613170 1.135177701230265
5194.384064327558917 1.135883211626250
5196.115814291295464 1.136651600585873
5197.848141601238240 1.137454836724992
5199.581046449864516 1.138258340654118
5201.314529029727964 1.138872906867127
5203.048589533434097 1.139427356150011
5204.783228153654818 1.139981990280129
5206.518445083123879 1.139878338115374
5208.254240514652338 1.139680617301331
5209.990614641102184 1.139482830569364
5211.727567655403618 1.138399824925199
5213.465099750545050 1.137311647844165
5215.203211119597654 1.136316829412084
5216.941901955678986 1.136029814844968
5218.681172451977545 1.135742704590382
5220.421022801744584 1.135623738180380
5222.161453198292293 1.136031907697545
5223.902463835011986 1.136440213293896
5225.644054905344092 1.136735939464127
5227.386226602799070 1.136839621234133
5229.128979120945587 1.136943337570489
5230.872312653434165 1.137311010148312
5232.616227393962617 1.137942423994457
5234.360723536299702 1.138574048346967
5236.105801274272380 1.138869832660947
5237.851460801789472 1.138971376082723
5239.597702312807087 1.139072953357948
5241.344526001354097 1.137976288557305
5243.091932061513944 1.136520600626032
5244.839920687454651 1.135064427384564
5246.588492073392445 1.133749233895167
5248.337646413612674 1.132447862758703
5250.087383902459806 1.131209517286660
5251.837704734360159 1.131178388051441
5253.588609103789167 1.131147248438081
5255.340097205291386 1.130903388270852
5257.092169233470486 1.129776413114523
5258.844825383013813 1.128649062237187
5260.598065848653277 1.127149775008784
5262.351890825193550 1.124932073074523
5264.106300507501146 1.122713631783070
5265.861295090518979 1.121075342182267
5267.616874769240894 1.120039453440664
5269.373039738733496 1.119003219345257
5271.129790194117959 1.117763734615794
5272.887126330601859 1.116411199913628
5274.645048343438248 1.115058214291412
5276.403556427952935 1.113296306579319
5278.162650779533578 1.111430476966381
5279.922331593632407 1.109564025306575
5281.682599065778049 1.107804961716441
5283.443453391550975 1.106050299069254
5285.204894766602592 1.104327684365651
5286.966923386642520 1.102852484168565
5288.729539447462230 1.101376792156112
5290.492743144902306 1.100389939341096
5292.256534674876093 1.100664841475215
5294.020914233353324 1.100939835258652
5295.785882016387404 1.101371354209342
5297.551438220079945 1.101997973594961
5299.317583040604404 1.102624801888524
5301.084316674194270 1.102079388414692
5302.851639317163063 1.100795662783040
5304.619551165875237 1.099511509171518
5306.388052416765277 1.098035593759888
5308.157143266328603 1.096506726501190
5309.926823911140673 1.094977349535121
5311.697094547826055 1.094262655390348
5313.467955373083896 1.093582884539845
5315.239406583670643 1.092819859636326
5317.011448376424596 1.091525082317290
5318.784080948233168 1.090229873333876
5320.557304496056531 1.089048733635106
5322.331119216913066 1.088117100305587
5324.105525307905737 1.087185156379858
5325.880522966184799 1.087189139632065
5327.656112388971451 1.088144513685438
5329.432293773553283 1.089100206249911
5331.209067317279732 1.090374767935783
5332.986433217579361 1.091799376815635
5334.764391671933481 1.093224460644269
5336.542942877891619 1.093907275172049
5338.322087033065145 1.094476862001758
5340.101824335149104 1.094961806884947
5341.882154981885833 1.094048545365558
5343.663079171088611 1.093134979374920
5345.444597100634383 1.092265358902990
5347.226708968479215 1.091528554622137
5349.009414972631930 1.090791504698919
5350.792715311167740 1.090791059793657
5352.576610182228251 1.091711697816612
5354.361099784034195 1.092632642770063
5356.146184314857237 1.092677371832454
5357.931863973039071 1.092233365979047
5359.718138956983239 1.091789212099020
5361.505009465176954 1.090854831650988
5363.292475696154725 1.089828326256840
5365.080537848523818 1.088872087171409
5366.869196120953347 1.089413036182160
5368.658450712192462 1.089954165539307
5370.448301821043060 1.090205408459896
5372.238749646377983 1.089588416783597
5374.029794387128277 1.088971219409127
5375.821436242312302 1.088393267492020
5377.613675410993892 1.087861734616635
5379.406512092312369 1.087330024534092
5381.199946485465262 1.087412869575723
5382.993978789734683 1.087799887360894
5384.788609204451859 1.088187034173496
5386.583837929018955 1.087215165281936
5388.379665162907258 1.086061510327617
5390.176091105648084 1.084822782223461
5391.973115956854599 1.082804104148194
5393.770739916189996 1.080784753068074
5395.568963183390224 1.079123653335326
5397.367785958253990 1.078237724432036
5399.167208440660943 1.077351500169886
5400.967230830539847 1.076698885514269
5402.767853327895864 1.076247514092626
5404.569076132790542 1.075795992188765
5406.370899445370924 1.076263280553410
5408.173323465834983 1.077019684021942
5409.976348394451634 1.077776339666991
5411.779974431551636 1.077843748636979
5413.584201777548515 1.077902015233174
5415.389030632906724 1.077341118974404
5417.194461198163481 1.074525895919022
5419.000493673915116 1.071709734299547
5420.807128260844365 1.069369872272819
5422.614365159682166 1.067620414884740
5424.422204571232214 1.065870374246996
5426.230646696361873 1.066042584651392
5428.039691736017630 1.067117934869681
5429.849339891201453 1.068193643597791
5431.659591362983520 1.067775876171140
5433.470446352497675 1.067222311767398
5435.281905060961435 1.066072900332531
5437.093967689643250 1.061690097165232
5438.906634439882509 1.057305832820028
5440.719905513086815 1.053627592292056
5442.533781110723794 1.051022986188728
5444.348261434349297 1.048417511738639
5446.163346685563738 1.048707386550242
5447.979037066045748 1.050620439255643
5449.795332777530348 1.052534129751565
5451.612234021842596 1.054395136496817
5453.429741000852118 1.056249992422380
5455.247853916505846 1.057597434446875
5457.066572970808920 1.055725654025657
5458.885898365853791 1.053853249573627
5460.705830303782932 1.051783897229290
5462.526368986808848 1.049403869112089
5464.347514617209526 1.047023047519951
5466.169267397344811 1.045530912721050
5467.991627529627294 1.044534802075387
5469.814595216540511 1.043538359337497
5471.638170660630749 1.041281864901599
5473.462354064528881 1.038881998183909
5475.287145630916712 1.036521290700538
5477.112545562547893 1.034373847065161
5478.938554062240655 1.032225687495929
5480.765171332895079 1.030348410819969
5482.592397577462179 1.028847396207278
5484.420232998969368 1.027345881172983
5486.248677800501355 1.025366512498428
5488.077732185231071 1.023164772756133
5489.907396356381469 1.020962298978258
5491.737670517248262 1.019023079289457
5493.568554871189917 1.017097286200187
5495.400049621647668 1.015554410471992
5497.232154972117314 1.015383918249312
5499.064871126165599 1.015213369186419
5500.898198287427476 1.014958270444166
5502.732136659599746 1.014615090475679
5504.566686446465610 1.014271796094799
5506.401847851858292 1.012783149815845
5508.237621079682867 1.010939894379369
5510.074006333910802 1.009093700100690
5511.911003818595418 1.007191520728686
5513.748613737840969 1.005288707191203
5515.586836295828107 1.003977566386581
5517.425671696795689 1.003929461929852
5519.265120145071705 1.003881341435631
5521.105181845034167 1.004464770367999
5522.945857001133845 1.005468487096612
5524.787145817883356 1.006472538453232
5526.629048499882629 1.006312315955098
5528.471565251782522 1.005999819616047
5530.314696278306656 1.005747239319798
5532.158441784240495 1.005786181640956
5534.002801974457725 1.005825136945052
5535.847777053881146 1.005951904937765
5537.693367227507224 1.006182024050318
5539.539572700396093 1.006412219882028
5541.386393677693377 1.005055020218917
5543.233830364596542 1.003169985961457
5545.081882966374906 1.001270586706629
5546.930551688361447 0.999074165804134
5548.779836735978279 0.996877012639291
5550.629738314692077 0.995589407246477
5552.480256630050462 0.996065694079836
5554.331391887658356 0.996542139701935
5556.183144293210717 0.997055503043359
5558.035514052451617 0.997589817313968
5559.888501371199709 0.998124309719022
5561.742106455342764 0.996406488821395
5563.596329510830401 0.994543882769248
5565.451170743699549 0.992749581914375
5567.306630360038071 0.991169195627908
5569.162708566007495 0.989588282458203
5571.019405567834838 0.987778098799224
5572.876721571828966 0.985779369992479
5574.734656784352410 0.983779974831746
5576.593211411844095 0.981558585952847
5578.452385660804794 0.979299583016613
5580.312179737818951 0.977303105695133
5582.172593849525583 0.976611588172626
5584.033628202636464 0.975919840105857
5585.895283003928853 0.975268028047460
5587.757558460264590 0.974659369145528
5589.620454778556450 0.974050507323478
5591.483972165794512 0.973568504616120
5593.348110829028883 0.973118849837473
5595.212870975397891 0.972655677573755
5597.078252812091705 0.972088583273670
5598.944256546375073 0.971521299910642
5600.810882385575496 0.970303447169587
5602.678130537107791 0.968238131398874
5604.546001208438611 0.966172127074819
5606.414494607108281 0.963384282188655
5608.283610940721701 0.960363968497177
5610.153350416971080 0.957440377062697
5612.023713243597740 0.955610018889132
5613.894699628420312 0.953779050494477
5615.766309779326548 0.952547628720782
5617.638543904266953 0.952181732059071
5619.511402211279346 0.951815713411475
5621.384884908454296 0.951457759498551
5623.258992203955131 0.951102575561510
5625.133724306009753 0.950667865427797
5627.009081422935196 0.949198825460033
5628.885063763097605 0.947729295730658
5630.761671534939524 0.945945786984629
5632.638904946967159 0.943702644722260
5634.516764207773122 0.941458754621163
5636.395249526003681 0.938945867149984
5638.274361110377868 0.936339204504693
5640.154099169682013 0.933670411456805
5642.034463912787032 0.930314480662272
5643.915455548614773 0.926957431037681
5645.797074286166207 0.924562763396438
5647.679320334504155 0.923478728795372
5649.562193902777835 0.922394332789206
5651.445695200189220 0.922707075009737
5653.329824436017589 0.923443273451237
5655.214581819604973 0.923788791668180
5657.099967560378900 0.921090680884002
5658.985981867821465 0.918391670579651
5660.872624951491161 0.915043781339214
5662.759897021007419 0.910941552438084
5664.647798286079706 0.906837955899380
5666.536328956468424 0.906267503377451
5668.425489242010372 0.906507413804058
5670.315279352606922 0.906967212572221
5672.205699498246759 0.908525257496210
5674.096749888969498 0.910083821855075
5675.988430734892063 0.910857540901594
5677.880742246202317 0.910913594601233
5679.773684633150879 0.910969666988553
5681.667258106075678 0.912652517021369
5683.561462875368306 0.914556819685028
5685.456299151495841 0.916543632212524
5687.351767144990845 0.918789313781518
5689.247867066470462 0.921035744035815
5691.144599126608227 0.922703169763046
5693.041963536152252 0.923990059848863
5694.939960505914314 0.925277378969540
5696.838590246794411 0.926725440370598
5698.737852969746200 0.928179221337653
5700.637748885797919 0.929668317059755
5702.538278206045106 0.931226863233196
5704.439441141667885 0.932785929008629
5706.341237903900947 0.934233079338149
5708.243668704055381 0.935633705130476
5710.146733753505941 0.937025315655902
5712.050433263717423 0.938303854752381
5713.954767446203732 0.939582820099595
5715.859736512559721 0.940825590505493
5717.765340674442086 0.942024237670825
5719.671580143596657 0.943223284451815
5721.578455131821102 0.944804900982065
5723.485965850990397 0.946466587175006
5725.394112513045002 0.948007689000520
5727.302895330012689 0.949083780817848
5729.212314513975798 0.950160231392239
5731.122370277089431 0.950582485631808
5733.033062831578718 0.950545357135803
5734.944392389752466 0.950508216261571
5736.856359163976776 0.951268008652557
5738.768963366690514 0.952051934975127
5740.682205210406210 0.953103595213104
5742.596084907700060 0.954638420167824
5744.510602671238303 0.956173756816145
5746.425758713737196 0.957853193011899
5748.341553247993033 0.959582492586093
5750.257986486866685 0.961401810166513
5752.175058643305420 0.963796893791264
5754.092769930312897 0.966192775910299
5756.011120560966447 0.968186218196017
5757.930110748412517 0.969818397766652
5759.849740705882141 0.971451121487836
5761.770010646661831 0.970824442042371
5763.690920784115406 0.970005638819106
5765.612471331671259 0.969192162946351
5767.534662502846913 0.968390389851126
5769.457494511213554 0.967588349453655
5771.380967570418761 0.969646496164089
5773.305081894175601 0.972829417435286
5775.229837696287177 0.976242051912053
5777.155235190608437 0.981342560972084
5779.081274591073452 0.986444770485195
5781.007956111679960 0.989684224504646
5782.935279966514827 0.991224789026641
5784.863246369721310 0.992765867155741
5786.791855535515424 0.992036312836086
5788.721107678184126 0.991133124617764
5790.651003012097135 0.991074307655274
5792.581541751684199 0.992675379146442
5794.512724111447824 0.994276984417065
5796.444550305965095 0.997895458589638
5798.377020549875851 1.002195516229701
5800.310135057912703 1.006445609507875
5802.243894044860099 1.010428057482251
5804.178297725578886 1.014411833160555
5806.113346314996306 1.016387948383082
5808.049040028132367 1.016881499422567
5809.985379080056191 1.017375215006488
5811.922363685916935 1.016147624730242
5813.859994060929239 1.014906527837486
5815.798270420396875 1.014650809212889
5817.737192979679094 1.015803279288416
5819.676761954210633 1.016956133584667
5821.616977559493534 1.019752723277585
5823.557840011118969 1.022878865019235
5825.499349524732679 1.025445933215508
5827.441506316057712 1.026395660347583
5829.384310600884419 1.027345704108134
5831.327762595090462 1.026828756330530
5833.271862514608074 1.025631012023393
5835.216610575451341 1.024510544933724
5837.162006993696195 1.024009620837992
5839.108051985507700 1.023508529739727
5841.054745767110035 1.023864730746997
5843.002088554800139 1.024946404428352
5844.950080564945893 1.026028438727697
5846.898722014000668 1.028387770529966
5848.848013118475137 1.030781472134793
5850.797954094957277 1.032699815170924
5852.748545160100548 1.033931152901394
5854.699786530650272 1.035162901146193
5856.651678423404519 1.034524817286828
5858.604221055240487 1.033546467060614
5860.557414643106313 1.032791851052532
5862.511259404018347 1.032598222823364
5864.465755555082069 1.032404530040694
5866.420903313458439 1.032928693883707
5868.376702896385723 1.033723053160104
5870.333154521169490 1.034199348320482
5872.290258405203531 1.033124225750588
5874.248014765938933 1.032048744746769
5876.206423820905002 1.028411056036879
5878.165485787696525 1.023174776454966
5880.125200883996513 1.017438975839249
5882.085569327548910 1.004405145676551
5884.046591336169513 0.991366970179624
5886.008267127745967 0.976979443216556
5887.970596920252319 0.961314870819493
5889.933580931719916 0.945645076027947
5891.897219380258321 0.941592222394155
5893.861512484043487 0.937945029420478
5895.826460461341412 0.939379264570024
5897.792063530474479 0.947817889427358
5899.758321909843289 0.956259327628512
5901.725235817914836 0.965313540476546
5903.692805473247063 0.974456246128176
5905.661031094452483 0.982635409546020
5907.629912900221825 0.988905222117290
5909.599451109315851 0.995177124974430
5911.569645940582632 0.999113673461765
5913.540497612928448 1.002454856298702
5915.512006345334157 1.004757133252945
5917.484172356858835 1.004094555472254
5919.456995866625221 1.003431756795491
5921.430477093847003 1.001640491124736
5923.404616257794260 0.999420207212949
5925.379413577817104 0.997577676883192
5927.354869273329314 0.997326579066797
5929.330983563839254 0.997075397537178
5931.307756668909860 0.996703912235385
5933.285188808181374 0.996270780942952
5935.263280201363159 0.995454875723505
5937.242031068253709 0.992145703807176
5939.221441628709727 0.988835428649678
5941.201512102666129 0.985671406143737
5943.182242710123319 0.982601844844764
5945.163633671176285 0.979759129085749
5947.145685205970949 0.979447636634377
5949.128397534737815 0.979136040334880
5951.111770877771050 0.979173318974611
5953.095805455456684 0.979484292520559
5955.080501488238951 0.979767001456679
5957.065859196638485 0.979378553170090
5959.051878801244129 0.978989975379157
5961.038560522737498 0.978280469760210
5963.025904581854775 0.977277767251759
5965.013911199412178 0.976267512105572
5967.002580596294138 0.974232245161210
5968.991912993473306 0.972196299681446
5970.981908611984181 0.970496441302272
5972.972567672934019 0.969141875760423
5974.963890397502837 0.967786858621468
5976.955877006960691 0.968137676169638
5978.948527722634026 0.968520122814458
5980.941842765925685 0.968748112036354
5982.935822358318546 0.968803541281685
5984.930466721358243 0.968858989006510
5986.925776076684997 0.968530918521268
5988.921750645991779 0.968188885827684
5990.918390651056143 0.968016024351428
5992.915696313718399 0.968041923212466
5994.913667855915264 0.968067830707896
5996.912305499636204 0.966855468677437
5998.911609466953450 0.965586781033643
6000.911579980005627 0.964786701019061
6002.912217261022306 0.964546544993032
6004.913521532293089 0.964306308901650
6006.915493016182154 0.963414373094682
6008.918131935126439 0.962492711547777
6010.921438511652923 0.961447379416219
6012.925412968345881 0.960256808676504
6014.930055527868717 0.959065841013725
6016.935366412952135 0.957691651537364
6018.941345846424156 0.956310394400748
6020.947994051161004 0.954948872341508
6022.955311250127124 0.953609456903402
6024.963297666348808 0.952269594919068
6026.971953522950571 0.951273868047932
6028.981279043107861 0.950284224765776
6030.991274450080709 0.949332668903514
6033.001939967194630 0.948420290025241
6035.013275817869726 0.947507179996514
6037.025282225582487 0.946529483026592
6039.037959413888530 0.945551460103356
6041.051307606411683 0.944306953208045
6043.065327026870364 0.942818391890777
6045.080017899037557 0.941331639484481
6047.095380446769923 0.939900144659829
6049.111414893994151 0.938468172590700
6051.128121464709693 0.937424071084590
6053.145500383006947 0.936685612708125
6055.163551873030883 0.935940733316929
6057.182276159012872 0.935125566523459
6059.201673465247950 0.934310127962435
6061.221744016124831 0.933416652254755
6063.242488036091345 0.932472047409715
6065.263905749673540 0.931540122471919
6067.285997381467496 0.930694456306676
6069.308763156162968 0.929848508205722
6071.332203298504282 0.928842773251672
6073.356318033319440 0.927753913554021
6075.381107585502832 0.926611679850239
6077.406572180045259 0.925240357580269
6079.432712041989362 0.923868578126684
6081.459527396464182 0.922035634229988
6083.487018468663337 0.920022952275886
6085.515185483877758 0.917875564214869
6087.544028667452039 0.915333698675611
6089.573548244813537 0.912790985706608
6091.603744441458730 0.910009666173881
6093.634617482976864 0.907164175835748
6095.666167595013576 0.904144309046979
6097.698395003298174 0.900767857942349
6099.731299933626360 0.897390281166426
6101.764882611889334 0.894113438767340
6103.799143264033773 0.890851017133960
6105.834082116090940 0.887663590878904
6107.869699394162126 0.884584677853000
6109.905995324423202 0.881504738351692
6111.942970133139170 0.878876324181072
6113.980624046636876 0.876268936379512
6116.018957291322295 0.873887003234631
6118.057970093667791 0.871730768385797
6120.097662680245776 0.869555666439721
6122.138035277681411 0.867018840027394
6124.179088112682621 0.864481167865314
6126.220821412027362 0.861766539651164
6128.263235402586361 0.858932545998070
6130.306330311289457 0.856019537238657
6132.350106365146530 0.852662783925763
6134.394563791237488 0.849304911508601
6136.439702816736826 0.845561582060043
6138.485523668876340 0.841655325809855
6140.532026574970587 0.837942732344031
6142.579211762399609 0.834784077259846
6144.627079458642584 0.831624369115122
6146.675629891235076 0.829096057025482
6148.724863287791777 0.826707704017779
6150.774779876000139 0.824482133435398
6152.825379883641290 0.822525129254322
6154.876663538552748 0.820567472629784
6156.928631068656614 0.819383649825790
6158.981282701940472 0.818248977473844
6161.034618666491042 0.816966667760957
6163.088639190449612 0.815538886395903
6165.143344502042055 0.814063502816019
6167.198734829560635 0.811959035285451
6169.254810401396753 0.809853866148772
6171.311571445995469 0.807833155662855
6173.369018191886425 0.805860172875325
6175.427150867673845 0.803944660155250
6177.485969702034708 0.802250531207215
6179.545474923737856 0.800555837455398
6181.605666761610337 0.799361965444164
6183.666545444564690 0.798309673075666
6185.728111201578940 0.797381083169933
6187.790364261729337 0.796679449197991
6189.853304854148519 0.795977581309076
6191.916933208052797 0.795075485039359
6193.981249552727604 0.794157778156808
6196.046254117553872 0.793185067175666
6198.111947131969828 0.792158753893160
6200.178328825497374 0.791120139487495
6202.245399427729353 0.789954521339652
6204.313159168350467 0.788788514587661
6206.381608277107262 0.787830441193393
6208.450746983827230 0.786975646364129
6210.520575518407895 0.786255909086986
6212.591094110843187 0.785938850785070
6214.662302991183424 0.785621686779437
6216.734202389563507 0.785096688822608
6218.806792536189278 0.784531051942591
6220.880073661360257 0.783820220282659
6222.954045995434171 0.782912486093127
6225.028709768853332 0.782005501909143
6227.104065212129171 0.781173254573052
6229.180112555869528 0.780340729774939
6231.256852030739537 0.779465065411994
6233.334283867488921 0.778561139439487
6235.412408296935610 0.777722099775207
6237.491225549996670 0.777146160996043
6239.570735857645559 0.776570030205285
6241.650939450937585 0.776316541231107
6243.731836561006276 0.776146936431831
6245.813427419057916 0.775714476645249
6247.895712256391562 0.774872023593013
6249.978691304366293 0.774029289676285
6252.062364794424866 0.773568867635336
6254.146732958078246 0.773112246425395
6256.231796026937445 0.773539357654125
6258.317554232669863 0.774579083699929
6260.404007807026574 0.775751652802045
6262.491156981826862 0.777476563458586
6264.579001988991877 0.779202049181190
6266.667543060497337 0.781167707964664
6268.756780428401726 0.783194532554869
6270.846714324838103 0.785272745565646
6272.937344982033210 0.787426137047923
6275.028672632272901 0.789588701424801
6277.120697507927616 0.792360424690863
6279.213419841436917 0.795133072018672
6281.306839865339498 0.798648460170384
6283.400957812230445 0.802611664658601
6285.495773914790334 0.806920324345877
6287.591288405768864 0.812340741313683
6289.687501518014869 0.817762965388330
6291.784413484434481 0.823449902787751
6293.882024538017504 0.829184793297076
6295.980334911825594 0.834110285796297
6298.079344839016812 0.838111892800123
6300.179054552808338 0.842029638446078
6302.279464286501934 0.845034523958641
6304.380574273474849 0.848040411266664
6306.482384747179822 0.851590491071565
6308.584895941161449 0.855368806326016
6310.688108089027082 0.859445498032275
6312.792021424466839 0.864134777497707
6314.896636181241774 0.868825620316822
6317.001952593212991 0.874401725501957
6319.107970894295249 0.880025331590226
6321.214691318492441 0.885584663208035
6323.322114099877581 0.891097254179708
6325.430239472620997 0.896417317433496
6327.539067670953955 0.900980897668614
6329.648598929189575 0.905545999350703
6331.758833481713737 0.909988487724970
6333.869771563010545 0.914407647659862
6335.981413407621403 0.918944366571280
6338.093759250174116 0.923616330685570
6340.206809325366521 0.928333074219396
6342.320563867995588 0.933449915320922
6344.435023112914678 0.938568462320447
6346.550187295066280 0.944148248198540
6348.666056649461098 0.949897430037262
6350.782631411208058 0.955589707724954
6352.899911815476116 0.961183593467004
6355.017898097518810 0.966772611904301
6357.136590492661526 0.971573296827855
6359.255989236326968 0.976375582246466
6361.376094563997867 0.981099903105205
6363.496906711241536 0.985782766063474
6365.618425913697138 0.990359561163573
6367.740652407102061 0.994676200857992
6369.863586427252812 0.998994279672150
6371.987228210030480 1.003410744434655
6374.111577991396189 1.007835338712511
6376.236636007381094 1.012968109643741
6378.362402494116395 1.018610468409060
6380.488877687792410 1.024093386756505
6382.616061824683129 1.029037572911831
6384.743955141136212 1.033983407403902
6386.872557873597543 1.037884702786133
6389.001870258572126 1.041644200242061
6391.131892532649545 1.045198675101059
6393.262624932493054 1.048572375284212
6395.394067694864134 1.051899882717265
6397.526221056581562 1.055019815411231
6399.659085254553247 1.058140788256112
6401.792660525756219 1.061215937435846
6403.926947107267551 1.064283196589613
6406.061945236225256 1.067401209414064
6408.197655149849197 1.070570529756607
6410.334077085435638 1.073608987041355
6412.471211280376338 1.075936513802932
6414.609057972124901 1.078264816536084
6416.747617398219518 1.079838238605850
6418.886889796272953 1.081243088426864
6421.026875403993472 1.082784882717485
6423.167574459150273 1.084475177425677
6425.308987199600779 1.086160529112711
6427.451113863271530 1.087813775625916
6429.593954688190934 1.089467573313155
6431.737509912444693 1.090583942321659
6433.881779774206734 1.091574918996094
6436.026764511728288 1.092217112252621
6438.172464363335166 1.092479182875215
6440.318879567450495 1.092666130223049
6442.466010362559246 1.092421955291437
6444.613856987231884 1.092177698954614
6446.762419680110725 1.092619818103413
6448.911698679938127 1.093212536280055
6451.061694225516476 1.094506471206732
6453.212406555734560 1.096519664455009
6455.363835909553018 1.098553153425855
6457.515982526033440 1.100683771527690
6459.668846644295627 1.102815099953938
6461.822428503548508 1.105211710644964
6463.976728343070135 1.107657211672861
6466.131746402243152 1.110489434912799
6468.287482920503862 1.113671637515264
6470.443938137381338 1.116815800536972
6472.601112292473772 1.119810129090018
6474.759005625482132 1.122805455918963
6476.917618376162864 1.126046961707478
6479.076950784364271 1.129320371195275
6481.237003090004691 1.132038606409503
6483.397775533103413 1.134342525203770
6485.559268353737934 1.136056805880015
6487.721481792077611 1.136079664142468
6489.884416088358194 1.136102530025610
6492.048071482920932 1.135528172806968
6494.212448216165285 1.134919907860288
6496.377546528578023 1.134664631911807
6498.543366660716856 1.134611260082564
6500.709908853243178 1.134701957128082
6502.877173346878408 1.135088428598469
6505.045160382427639 1.135492413561410
6507.213870200778729 1.136713995199463
6509.383303042893203 1.137935984099266
6511.553459149832634 1.138821213818505
6513.724338762719526 1.139572844621812
6515.895942122760971 1.140033950083619
6518.068269471241365 1.140081058365485
6520.241321049541511 1.140147105132344
6522.415097099107697 1.140364697781559
6524.589597861468064 1.140582362973746
6526.764823578228970 1.141001316147112
6528.940774491094089 1.141467216374453
6531.117450841829850 1.142106774726267
6533.294852872289994 1.142911063478397
6535.472980824399201 1.143538769678830
6537.651834940187655 1.143528906680342
6539.831415461741926 1.143519040393640
6542.011722631237717 1.142297122009769
6544.192756690924398 1.140973191384644
6546.374517883154112 1.140386515354711
6548.557006450335393 1.140233031093239
6550.740222634969541 1.141275463991890
6552.924166679628797 1.144650448088093
6555.108838826986357 1.148082579945815
6557.294239319777262 1.152584705372361
6559.480368400823863 1.157088331757530
6561.667226313022184 1.160096276634894
6563.854813299371017 1.162638435299519
6566.043129602927365 1.163398199233369
6568.232175466838271 1.162199853724706
6570.421951134324445 1.160229410225577
6572.612456848707552 1.155024090945637
6574.803692853370194 1.149817036270055
6576.995659391783192 1.144513321689255
6579.188356707498315 1.139198498407938
6581.381785044142816 1.135455242264123
6583.575944645443087 1.132635205984568
6585.770835755188273 1.130380353302828
6587.966458617255739 1.129170964432016
6590.162813475595613 1.127904588916808
6592.359900574262610 1.125930827957877
6594.557720157368749 1.123956408968962
6596.756272469117903 1.121035674608549
6598.955557753786707 1.117875743493500
6601.155576255752749 1.114574000177725
6603.356328219455463 1.111143892006902
6605.557813889425233 1.107989521557483
6607.760033510262474 1.105650238484593
6609.962987326672192 1.103310175520697
6612.166675583421238 1.102064944986443
6614.371098525362868 1.100838021569097
6616.576256397426732 1.099736578524438
6618.782149444643437 1.098685012910124
6620.988777912106343 1.097570864771831
6623.196142044996122 1.096379670261699
6625.404242088567116 1.095080356997387
6627.613078288179167 1.093299761840641
6629.822650889252145 1.091518573053242
6632.032960137292321 1.088600830398504
6634.244006277883273 1.085582984346883
6636.455789556711352 1.081683663981344
6638.668310219522937 1.077325662722030
6640.881568512153535 1.072707093644307
6643.095564680520511 1.067695437549074
6645.310298970616714 1.062681740833853
6647.525771628537768 1.057664102297341
6649.741982900441144 1.052644790935860
6651.958933032570712 1.048567292616113
6654.176622271248561 1.044612745834916
6656.395050862898643 1.041896800930493
6658.614219054004934 1.039912012117547
6660.834127091142363 1.038132641487759
6663.054775220961346 1.036695163567594
6665.276163690213252 1.035187782605464
6667.498292745712206 1.033190732968116
6669.721162634361463 1.031193017536597
6671.944773603140675 1.028888952860009
6674.169125899130449 1.026540277232370
6676.394219769474148 1.023460601423369
6678.620055461404263 1.019944586739523
6680.846633222229684 1.016194550836797
6683.073953299362074 1.012063612879562
6685.302015940273122 1.007913381796808
6687.530821392526377 1.003647473779859
6689.760369903759965 0.999380143556562
6691.990661721714787 1.035524447750726
6694.221697094195406 1.076547230768037
6696.453476269092789 1.088080153602334
6698.685999494377029 1.083813193207978
6700.919267018118262 1.080648607974284
6703.153279088453019 1.079061262447613
6705.388035953602412 1.077849438961797
6707.623537861867590 1.078427492022402
6709.859785061650655 1.079005737799479
6712.096777801416465 1.080373901433451
6714.334516329719918 1.081795349003280
6716.573000895199584 1.083159719379486
6718.812231746567704 1.084500188578176
6721.052209132642020 1.085196815571481
6723.292933302302117 1.085166137624315
6725.534404504516715 1.084672475471733
6727.776622988332747 1.082699261982892
6730.019589002897192 1.080719422170844
6732.263302797424330 1.078061266785743
6734.507764621213937 1.075402225201156
6736.752974723644002 1.072827192326005
6738.998933354196197 1.070275147488083
6741.245640762414041 1.067515543548074
6743.493097197932912 1.064588841859442
6745.741302910461854 1.061533587191912
6747.990258149817237 1.058217891500251
6750.239963165873633 1.054858979299004
6752.490418208600204 1.051146140449819
6754.741623528039781 1.047432063781406
6756.993579374340698 1.043724518587334
6759.246285997713130 1.040016744661977
6761.499743648456388 1.037079263163477
6763.753952576949814 1.034528672459716
6766.008913033674617 1.032783382426903
6768.264625269173848 1.032033470784530
6770.521089534082421 1.031528117778398
6772.778306079112554 1.031838149762993
6775.036275155080148 1.032141529156753
6777.294997012862041 1.032031099356681
6779.554471903428748 1.031920632740541
6781.814700077825364 1.030819723329440
6784.075681787202484 1.029475210663587
6786.337417282774368 1.027532551360234
6788.599906815843497 1.025176024302373
6790.863150637797844 1.022673878539585
6793.127149000102690 1.019935890488920
6795.391902154326999 1.017187673252618
6797.657410352103398 1.014394003186249
6799.923673845153644 1.011599401741304
6802.190692885278622 1.008998319918421
6804.458467724383809 1.006403148080427
6806.726998614437434 1.004041233222318
6808.996285807497770 1.001751968732317
6811.266329555700395 0.999734359485205
6813.537130111288207 0.997932073046851
6815.808687726563221 0.996286523883263
6818.081002653921132 0.994925136699152
6820.354075145835850 0.993544482298407
6822.627905454883148 0.992061370057026
6824.902493833705194 0.990577763362493
6827.177840535034193 0.989190932640761
6829.453945811677841 0.987807996010951
6831.730809916552971 0.986567055555381
6834.008433102634626 0.985370660278977
6836.286815622994254 0.984283823245002
6838.565957730778791 0.983281380518303
6840.845859679238856 0.982567620359222
6843.126521721689642 0.982343774984753
6845.407944111539109 0.982140949139847
6847.690127102271617 0.982034962627253
6849.973070947477026 0.981928940779933
6852.256775900807042 0.981504760174322
6854.541242216009778 0.981076640868004
6856.826470146912470 0.980567716807304
6859.112459947422394 0.980038356297170
6861.399211871554144 0.979303827020723
6863.686726173382340 0.978438979980004
6865.975003107076191 0.977473740107301
6868.264042926882212 0.976373298401915
6870.553845887150601 0.975244778839249
6872.844412242298858 0.974028997655377
6875.135742246831796 0.972820233766946
6877.427836155337900 0.971728977494417
6879.720694222505699 0.970637357409163
6882.014316703091026 0.969144829991500
6884.308703851940663 0.967596246993935
6886.603855923980518 0.965705510622051
6888.899773174239272 0.963666841925199
6891.196455857814726 0.961647091229752
6893.493904229891086 0.959644694641574
6895.792118545735320 0.957741461026276
6898.091099060718079 0.956027469139005
6900.390846030274588 0.954416719233931
6902.691359709931930 0.953312628416111
6904.992640355296317 0.952208169506675
6907.294688222078548 0.951119222631224
6909.597503566055821 0.950029963661925
6911.901086643096278 0.949108828085441
6914.205437709146281 0.948223069130883
6916.510557020259512 0.947157196924744
6918.816444832552406 0.945996352486704
6921.123101402235079 0.944416795375287
6923.430526985595861 0.942395721590527
6925.738721839029495 0.940789626125634
6928.047686218995295 0.940066375451072
6930.357420382044438 0.939439655244766
6932.667924584813591 0.939341491407530
6934.979199084018546 0.939243294843561
6937.291244136482419 0.938346396671591
6939.604059999091987 0.937441946401264
6941.917646928825889 0.936536210427102
6944.232005182743706 0.935629969219502
6946.547135018008703 0.934098935475974
6948.863036691852358 0.932257292129729
6951.179710461595278 0.929475026407629
6953.497156584639924 0.925785584162886
6955.815375318494262 0.922454923871208
6958.134366920729917 0.919786923571625
6960.454131649014016 0.917427422201127
6962.774669761090991 0.916338566587743
6965.095981514810774 0.915287851507266
6967.418067168092421 0.915129787970858
6969.740926978944117 0.914971671737824
6972.064561205454083 0.916042031484604
6974.388970105818771 0.917266962324001
6976.714153938299205 0.918799695543619
6979.040112961247360 0.920442550419084
6981.366847433097064 0.921500418886056
6983.694357612388558 0.922147303716357
6986.022643757727565 0.922497944140496
6988.351706127810758 0.922470075108485
6990.681544981417574 0.922264446756328
6993.012160577432951 0.921628723998180
6995.343553174806402 0.920908368002952
6997.675723032582027 0.919699137375666
7000.008670409889419 0.918489857537392
7002.342395565938205 0.917375085016990
7004.676898760044423 0.916259940843806
7007.012180251592326 0.915487575097830
7009.348240300056204 0.914770070782454
7011.685079164990384 0.914073349260089
7014.022697106059240 0.913384529118448
7016.361094382990814 0.912479502760363
7018.700271255606822 0.911419045906009
7021.040227983808109 0.910400928157376
7023.380964827604657 0.909435831747562
7025.722482047071935 0.908453746155549
7028.064779902377268 0.907433970071169
7030.407858653768926 0.906540922183706
7032.751718561604321 0.906250694515111
7035.096359886304526 0.905975791585618
7037.441782888385205 0.906060733363512
7039.787987828442056 0.906145703460051
7042.134974967178096 0.905033411253158
7044.482744565363646 0.903801812486638
7046.831296883860887 0.902365321432951
7049.180632183613852 0.900870575732955
7051.530750725672988 0.899563404773877
7053.881652771156951 0.898356501807678
7056.233338581275348 0.897110347484188
7058.585808417321459 0.895828539091147
7060.939062540693158 0.894592448940361
7063.293101212857437 0.893425463308401
7065.647924695373149 0.892350503597900
7068.003533249881002 0.891518725553012
7070.359927138128114 0.890744834349158
7072.717106621930725 0.890293421288408
7075.075071963197843 0.889862335082128
7077.433823423923968 0.890054016709083
7079.793361266185457 0.890245762240563
7082.153685752168712 0.891474309474395
7084.514797144123804 0.892802770875565
7086.876695704398117 0.893646193177625
7089.239381695415432 0.894364337802713
7091.602855379712310 0.894001203253835
7093.967117019889884 0.893124553166446
7096.332166878642965 0.891531402298187
7098.698005218747312 0.889382229665041
7101.064632303089638 0.887012396881247
7103.432048394620324 0.884372703712320
7105.800253756386155 0.882128257889182
7108.169248651513044 0.880659462082788
7110.539033343238771 0.879195163517811
7112.909608094863870 0.877747319800429
7115.280973169785284 0.876394703506632
7117.653128831482718 0.875753940429672
7120.026075343541379 0.875122963942817
7122.399812969616505 0.875392130981338
7124.774341973456103 0.875661387757160
7127.149662618889124 0.875747934766750
7129.525775169854569 0.875815315090367
7131.902679890357831 0.876142414650716
7134.280377044499801 0.876534371787402
7136.658866896461404 0.877295076466732
7139.038149710533617 0.878215995508907
