SN 2002ap Ic Hypernova in M74 (NGC 628)


Geoffrey Chaucer with an astrolabe.


OBJ:  SN 2002ap Ic hypernova in M74 (NBC 628, an Sc galaxy).  See
          Leda:  M74.
DISCOVERY:   2002jan29 by amateur  Yoji Hirose of Chigasaki, Kanagawa-ken.
MAX:  2002feb07 +/- 2 UT n B from \citet{gal-yam2002}.
           This day of the year 38.
SUPERNOVA of the YEAR:  42.

HEADER:  D. J. Jeffery (2006jan01).

REF:

       
       \bibitem[foley et al.(2003)]{foley2003}
        Folatelli, G., et al. 2006, PASP, 115, 1220
%
        % ADS Reference
        % 9 coauthors including Filippenko and Mazzli.
        % Optical Photometry and Spectroscopy of the SN 1998bw-like Type Ic Supernova 2002ap Ic hypernova.
        % Some SN 2002ap spectra, but not those in David Branch's archive.

       
\bibitem[Gal-Yam et al.(2002)]{gal-yam2002} Gal-Yam, A., Ofek, E. O., Shemmer, O. 2002, MNRAS, 332, L73
%
     % ADS reference
     % Supernova 2002ap: the first month
     % A Ic hypernova without a gamma-ray burst, but weakish hypernova.
     % An it may have had a jet.

       
\bibitem[Kawabata et al.(2002)]{kawabata2002} Kawabata, K., et al. 2002, \apj, 580, L39.
%
        % ADS Reference
        % The polarization data of SN 2002ap Ic hypernova that suggested that a jet formed.
        % 31 coauthors:  Kawabata, Jeffery, ... Mazzali ... Nomoto.

       
\bibitem[Yoshii et al.(2003)]{yoshi2003} Yoshii, Y., et al. 2003, \apj, 592, 467
%
% ADS reference
     % The Optical/Near-Infrared Light Curves of SN 2002ap for the First 140 Days after Discovery
     % 14 coauthors
     % A Ic hypernova without a gamma-ray burst, but weakish hypernova.
     % And it may have had a jet.



REP:  F_lambda (erg/cm2/s/A) ??? vs. lambda (ang)  (iformat = 1)
COR:  not deredshifted ??? (heliocentric velocity 656 +/- 2 and
        v_hel corrected for CMB radiation 363 km/s from
   Leda:  M74.
     
        \bibitem[folatelli et al.(2006)]{follatelli2006} give 5670 km/s).
      not dereddened ??? (Galactic foreground .30/4... =.075
     Schlegel et al. (1998)
      not smoothed ????, not photometric ????
      Derived B maximum is 2002feb07 (see above).

OBS:  ????  From David Branch 02ap/SN2002ap020227.asc

Date: 2002feb27 (58) with 2002feb07 (38) for B maximum gives:
      day = 58 - 38 = 20


&specnamelist aname='sn2002ap Ic_hyp 2002_02_27' ebv=.075 epoch= 20. ! This parameter needs to updated for the particular spectrum. iformat=1 itick=2 itickln=4 t_rise=20.d0 ! default v_helio=656. ymin2=1.d-15 ymax2=2.05d-14 ymin3=.45 ymax3=2. wlammin1=3.9890000e+03 wlammax1=7.8000000e+03 wlammin2=3.9890000e+03 wlammax2=7.8000000e+03 wlammin3=4620. wlammax3=7.8000000e+03 /
./figure/sn2002ap_2002_02_27.gif Postscript plot of the spectrum.
./figure/sn2002ap_2002_02_27.dif.gif Postscript plot of the spectrum with local normalization.
END: 3981.179190168411424 0.168849742099328 3982.506471099667124 0.180507845412290 3983.834194531646517 0.191843932096001 3985.162360611873282 0.202649863924669 3986.490969487918392 0.214771576241440 3987.820021307412389 0.235944221387261 3989.149516218024473 0.257482361657224 3990.479454367475228 0.278604099357540 3991.809835903532530 0.298571969904230 3993.140660974023831 0.317334294606242 3994.471929726815233 0.334644910723851 3995.803642309824681 0.350966241038699 3997.135798871016959 0.366813470424713 3998.468399558417332 0.382289955868940 3999.801444520088353 0.397629366376461 4001.134933904146237 0.412587218495360 4002.468867858752674 0.427151330954222 4003.803246532129833 0.441665328315357 4005.138070072538994 0.456486423762923 4006.473338628293277 0.471922192679352 4007.809052347751731 0.487801558833285 4009.145211379335251 0.503872255975313 4010.481815871502022 0.519913198579026 4011.818865972763888 0.535801484430904 4013.156361831681352 0.551632567289660 4014.494303596861300 0.567320230655242 4015.832691416972011 0.582872147833774 4017.171525440719506 0.598246034215436 4018.510805816862558 0.613120637968994 4019.850532694206322 0.627783178783942 4021.190706221617802 0.642112543232977 4022.531326548000379 0.656223248069677 4023.872393822312461 0.670306445033254 4025.213908193557472 0.684174168669837 4026.555869810800232 0.698166246123153 4027.898278823143755 0.712044647032742 4029.241135379744719 0.725800800388985 4030.584439629805274 0.739455072857232 4031.928191722589418 0.752701792393431 4033.272391807399345 0.766142838189782 4034.617040033590001 0.779692470687696 4035.962136550562718 0.793231973858653 4037.307681507781581 0.806677682231493 4038.653675054746600 0.819735112285923 4040.000117341013265 0.833411584822292 4041.347008516181631 0.847273443886026 4042.694348729914964 0.861323682355387 4044.042138131913362 0.875467309698129 4045.390376871931494 0.889178108525695 4046.739065099769050 0.903090093228867 4048.088202965288929 0.916797769885768 4049.437790618390864 0.930340111528896 4050.787828209029612 0.943781688590141 4052.138315887204499 0.956755484665129 4053.489253802978510 0.969865709988556 4054.840642106451469 0.982788967887325 4056.192480947778222 0.995553398764865 4057.544770477161819 1.008042537817668 4058.897510844853969 1.020407966235601 4060.250702201166405 1.032881365974049 4061.604344696449971 1.045147843889662 4062.958438481109170 1.057189994833294 4064.312983705594888 1.068866318675321 4065.667980520420770 1.079987875815472 4067.023429076137290 1.091287459143193 4068.379329523350407 1.102286994691737 4069.735682012711095 1.113019134624975 4071.092486694933541 1.122915651275836 4072.449743720770130 1.133192730030600 4073.807453241026906 1.143316386157701 4075.165615406555844 1.153263240211593 4076.524230368273038 1.162988115249310 4077.883298277130962 1.172045094572539 4079.242819284137113 1.181270634227062 4080.602793540345829 1.190428853363261 4081.963221196873292 1.199417656514602 4083.324102404873884 1.208176499662642 4084.685437315556555 1.216238689192432 4086.047226080177097 1.224249294776980 4087.409468850052690 1.232312330361934 4088.772165776540987 1.240238792299845 4090.135317011051484 1.247997581250945 4091.498922705041423 1.254983277496956 4092.862983010031712 1.262625252323527 4094.227498077579185 1.270209893066063 4095.592468059297971 1.277762124714630 4096.957893106846313 1.285321738399574 4098.323773371947027 1.292279557547717 4099.690109006359307 1.299912599793407 4101.056900161899648 1.307499973451172 4102.424146990432746 1.314978850491502 4103.791849643871501 1.322380040750538 4105.160008274190659 1.329159099321506 4106.528623033404074 1.336549857984496 4107.897694073580169 1.343897132036999 4109.267221546832843 1.351135995687788 4110.637205605340569 1.358245861080076 4112.007646401320017 1.364695757657756 4113.378544087042428 1.371616404997409 4114.749898814825428 1.378470357711120 4116.121710737049398 1.385217643847722 4117.493980006134734 1.391504847226695 4118.866706774555496 1.397641869600321 4120.239891194832126 1.403948199703087 4121.613533419550549 1.410161354278776 4122.987633601332163 1.416279907116247 4124.362191892854753 1.422003594021045 4125.737208446842487 1.427473996798580 4127.112683416085019 1.433283210762124 4128.488616953407472 1.439056906866206 4129.865009211691358 1.444792385731075 4131.241860343865483 1.449775334871448 4132.619170502922316 1.455332804876295 4133.996939841889798 1.460833245952627 4135.375168513855897 1.466332774716010 4136.753856671951326 1.471851685129350 4138.133004469372281 1.476684268199607 4139.512612059354069 1.482154322972006 4140.892679595185655 1.487601109708538 4142.273207230208754 1.493073777681960 4143.654195117809650 1.498600209346851 4145.035643411441015 1.503503150717980 4146.417552264592814 1.509048087759065 4147.799921830809581 1.514571986555311 4149.182752263684961 1.520119518149732 4150.566043716874447 1.525332329707433 4151.949796344072638 1.530814960007259 4153.334010299031434 1.536583849687930 4154.718685735546387 1.542350175123018 4156.103822807478537 1.547962720897456 4157.489421668729847 1.553031159646585 4158.875482473254124 1.558478578664991 4160.262005375053377 1.565894027233273 4161.648990528196009 1.575787429896294 4163.036438086785893 1.588205194653659 4164.424348204985108 1.601733650783226 4165.812721037000301 1.615519002644628 4167.201556737103601 1.629517155518430 4168.590855459607155 1.643816714816552 4169.980617358876771 1.658418551040451 4171.370842589325548 1.672141554826645 4172.761531305432072 1.684694521069897 4174.152683661713127 1.694602647819737 4175.544299812741883 1.702621302726498 4176.936379913136079 1.709975315257293 4178.328924117581664 1.717105864008436 4179.721932580800967 1.725028238738642 4181.115405457572706 1.733067974218936 4182.509342902722892 1.741129317092615 4183.903745071141202 1.749199241397899 4185.298612117758239 1.756903974922004 4186.693944197559176 1.765152499890205 4188.089741465580119 1.773487718760215 4189.486004076905374 1.781916014536011 4190.882732186684734 1.790589182202953 4192.279925950104371 1.798799566895868 4193.677585522409572 1.807599639083219 4195.075711058891102 1.816532631090564 4196.474302714904297 1.825588975908804 4197.873360645844514 1.834572231988685 4199.272885007162586 1.851604598617985 4200.672875954356641 1.873194683519666 4202.073333642990292 1.880533780967373 4203.474258228665349 1.860417815373303 4204.875649867039101 1.821149111523583 4206.277508713819770 1.796822749795391 4207.679834924775605 1.809253332768915 4209.082628655718509 1.853698705907205 4210.485890062512226 1.892844371156852 4211.889619301072344 1.899468426946991 4213.293816527376293 1.854293250178963 4214.698481897441525 1.770637269868277 4216.103615567342786 1.668415888518824 4217.509217693202118 1.569086371428525 4218.915288431204317 1.473728055009924 4220.321827937576927 1.364750252150721 4221.728836368601151 1.238053159649817 4223.136313880607304 1.115268204164086 4224.544260629990276 1.030366055351379 4225.952676773184066 1.006230911036160 4227.361562466679970 1.039635651943769 4228.770917867020216 1.109545729447833 4230.180743130796145 1.200183436281284 4231.591038414662762 1.286843908103759 4233.001803875316000 1.345294276526545 4234.413039669508180 1.370043450352796 4235.824745954037098 1.379706902701824 4237.236922885768763 1.404074067799744 4238.649570621608291 1.445265236088606 4240.062689318514458 1.479261278910840 4241.476279133497883 1.487450772362175 4242.890340223631938 1.478093192943873 4244.304872746030014 1.478051545819869 4245.719876857863710 1.501678044960480 4247.135352716350098 1.544497269407630 4248.551300478772646 1.572741847057401 4249.967720302455746 1.542841638446787 4251.384612344778361 1.437935103032345 4252.801976763169478 1.280377506276385 4254.219813715121745 1.120177249245879 4255.638123358169651 0.996584969612585 4257.056905849901341 0.919863904314373 4258.476161347956804 0.862288219412748 4259.895890010038784 0.819532004578290 4261.316091993890041 0.817690412226990 4262.736767457312453 0.886738158143267 4264.157916558152465 1.034384403572094 4265.579539454325641 1.205430280444945 4267.001636303785745 1.340191053606534 4268.424207264542929 1.411448699386358 4269.847252494656459 1.415413874403421 4271.270772152251084 1.373683272460605 4272.694766395491570 1.323976270496514 4274.119235382599982 1.298232331941798 4275.544179271849316 1.287783842253412 4276.969598221563501 1.250244896385508 4278.395492390130130 1.166404302799186 4279.821861935978632 1.072473171790039 4281.248707017593915 1.040390209854176 4282.676027793509093 1.093159871166475 4284.103824422326397 1.203529829315560 4285.532097062683533 1.300475083050072 4286.960845873278231 1.341325234690326 4288.390071012855515 1.336603867831026 4289.819772640227711 1.320055469148705 4291.249950914245346 1.336083191182129 4292.680605993817153 1.392224905871899 4294.111738037900977 1.450620285365334 4295.543347205521059 1.474082176147447 4296.975433655738925 1.444980066140411 4298.407997547676132 1.398792736330074 4299.841039040501528 1.373073226442183 4301.274558293451264 1.370581296750977 4302.708555465801510 1.361677198676192 4304.143030716883914 1.315835074065912 4305.577984206081055 1.228962879351839 4307.013416092840998 1.119223460987343 4308.449326536651824 1.027262044549202 4309.885715697058913 0.975561317396959 4311.322583733655847 0.950914375414813 4312.759930806104421 0.937133117060197 4314.197757074106448 0.921350696360040 4315.636062697418311 0.897525745419265 4317.074847835848232 0.875950185471062 4318.514112649269919 0.881085362618390 4319.953857297598006 0.936823767781081 4321.394081940803517 1.020664885756432 4322.834786738911134 1.083929973403316 4324.275971851995564 1.105003482729823 4325.717637440196995 1.108723453759635 4327.159783663694725 1.125607929066293 4328.602410682729897 1.169337808597380 4330.045518657587309 1.239513451678478 4331.489107748622700 1.314744695368579 4332.933178116230920 1.369962834678114 4334.377729920862294 1.405417252151138 4335.822763323019899 1.438500196415907 4337.268278483270478 1.487606359841460 4338.714275562223520 1.544645592940711 4340.160754720545810 1.577116238775760 4341.607716118950520 1.558957264653398 4343.055159918222671 1.489120009452976 4344.503086279182753 1.403994102255258 4345.951495362713104 1.325511062131150 4347.400387329743353 1.246485832992587 4348.849762341269525 1.143991702106024 4350.299620558328570 1.020084346739369 4351.749962142017466 0.900177877473305 4353.200787253479575 0.817585983934991 4354.652096053927380 0.793058942698843 4356.103888704612473 0.825408650452060 4357.556165366844652 0.883333641165694 4359.008926201984650 0.927937520111677 4360.462171371458680 0.941495496938078 4361.915901036734795 0.929024194936449 4363.370115359336523 0.915590995002323 4364.824814500844695 0.904505813859292 4366.279998622888343 0.882137309793507 4367.735667887162890 0.839982933234555 4369.191822455404690 0.788805552024455 4370.648462489409212 0.741881297228733 4372.105588151020129 0.703816886017970 4373.563199602150235 0.682296477045750 4375.021297004752341 0.682531716565209 4376.479880520835650 0.699423400408289 4377.938950312460292 0.727387083672526 4379.398506541756433 0.756709217059756 4380.858549370890614 0.779705971945060 4382.319078962090316 0.792500899910414 4383.780095477632130 0.790825414621507 4385.241599079860862 0.784330331378750 4386.703589931160423 0.777788549137761 4388.166068193973842 0.771282130253493 4389.629034030795083 0.764839116893031 4391.092487604185408 0.760698471290739 4392.556429076744280 0.765809963248709 4394.020858611133917 0.779792562243031 4395.485776370063832 0.800351095517540 4396.951182516310837 0.828638441547998 4398.417077212693584 0.862887036648807 4399.883460622088933 0.900674002955690 4401.350332907425582 0.937767584385662 4402.817694231695896 0.972424784157070 4404.285544757937714 1.006609978718352 4405.753884649244355 1.035719996745937 4407.222714068760069 1.057183279993536 4408.692033179698228 1.072309958569555 4410.161842145310402 1.083655417271811 4411.632141128910007 1.095287970399841 4413.102930293863210 1.111772055863285 4414.574209803586200 1.135835728133498 4416.045979821564288 1.165756399994448 4417.518240511321892 1.198092116131062 4418.990992036444368 1.229832489641463 4420.464234560566183 1.261532263951454 4421.937968247389108 1.297537933472565 4423.412193260658569 1.341775509041686 4424.886909764175471 1.389958569545665 4426.362117921793470 1.426193458370436 4427.837817897434434 1.433258904827426 4429.314009855059339 1.417656723243327 4430.790693958689189 1.389193632425183 4432.267870372396828 1.359531322659292 4433.745539260321493 1.332247545314364 4435.223700786643349 1.304805823912608 4436.702355115603496 1.270339581301725 4438.181502411492147 1.227599391274135 4439.661142838667729 1.183744282200193 4441.141276561530503 1.152668403617816 4442.621903744539850 1.143708733866795 4444.103024552205170 1.150606196628470 4445.584639149104987 1.164002704602302 4447.066747699857842 1.177753339767676 4448.549350369142303 1.189810478239806 4450.032447321687869 1.201264801372402 4451.516038722293160 1.212878083201073 4453.000124735795907 1.224416818795817 4454.484705527094775 1.235991844833582 4455.969781261138451 1.247599650053547 4457.455352102944744 1.259358578659276 4458.941418217572391 1.271039670765367 4460.427979770141064 1.282757096134932 4461.915036925822278 1.294506323026964 4463.402589849841206 1.306300501704931 4464.890638707490325 1.323475408576435 4466.379183664103948 1.364059806666414 4467.868224885075506 1.416483352971676 4469.357762535850270 1.459228401563958 4470.847796781940815 1.486055094420146 4472.338327788902461 1.503058493481286 4473.829355722349646 1.512246325498426 4475.320880747947740 1.514219741853353 4476.812903031430324 1.508815451282431 4478.305422738573725 1.500731709525378 4479.798440035212479 1.472923553361527 4481.291955087233873 1.425897791804407 4482.785968060593405 1.382309890464762 4484.280479121286589 1.352709052452978 4485.775488435370789 1.335978902922123 4487.270996168954298 1.326163553050627 4488.767002488212711 1.323815198964287 4490.263507559365280 1.328479244049812 4491.760511548690374 1.336961376577660 4493.258014622516384 1.345377207639920 4494.756016947241733 1.353828005925042 4496.254518689307588 1.362314026736080 4497.753520015212416 1.370914650605710 4499.253021091509254 1.379420564377172 4500.753022084817530 1.387946730386070 4502.253523161799421 1.396493532934281 4503.754524489178038 1.405128006051603 4505.256026233730154 1.413756638264906 4506.758028562285290 1.422017202457718 4508.260531641741181 1.429307821297500 4509.763535639039219 1.436901554627507 4511.267040721179001 1.444908932428258 4512.771047055211966 1.453368234161833 4514.275554808260495 1.462271805919674 4515.780564147485165 1.471658675800000 4517.286075240111131 1.481561881231045 4518.792088253411748 1.491861962863571 4520.298603354732222 1.502713355437024 4521.805620711456868 1.515090279164524 4523.313140491032755 1.528023918947472 4524.821162860958793 1.541006546642792 4526.329687988800288 1.553962271494147 4527.838716042167107 1.566935195127546 4529.348247188730056 1.579927890800883 4530.858281596208144 1.592992354513011 4532.368819432394957 1.606062317413279 4533.879860865120463 1.619150410442769 4535.391406062281021 1.631327618870392 4536.903455191819376 1.635246174188798 4538.416008421751030 1.630154993129625 4539.929065920132416 1.624593148955430 4541.442627855081810 1.622221207028348 4542.956694394767510 1.621649587511178 4544.471265707428756 1.617114595438064 4545.986341961345715 1.599788755975058 4547.501923324861309 1.561696824583326 4549.018009966368481 1.515752313351439 4550.534602054330207 1.492676054952321 4552.051699757253118 1.499727770659038 4553.569303243702961 1.518289649302779 4555.087412682301874 1.525664353409991 4556.606028241723834 1.517098920987480 4558.125150090714669 1.505923475711917 4559.644778398060225 1.506754278650810 4561.164913332607284 1.526568407296716 4562.685555063256288 1.558733859302253 4564.206703758976801 1.579968875786249 4565.728359588779313 1.577518449833099 4567.250522721738889 1.565395510434538 4568.773193326977889 1.567135988544462 4570.296371573692340 1.589570161201448 4571.820057631119198 1.616738675962066 4573.344251668557263 1.627161998054894 4574.868953855356267 1.615270293150689 4576.394164360937793 1.583002863754971 4577.919883354765261 1.542941039759891 4579.446111006361207 1.515369922033416 4580.972847485303646 1.510711103182287 4582.500092961237897 1.520301649303317 4584.027847603853843 1.516746248968576 4585.556111582902304 1.492517399233817 4587.084885068185031 1.471760188243264 4588.614168229575625 1.478226890195325 4590.143961236989526 1.514031679426357 4591.674264260404016 1.569631302349952 4593.205077469848220 1.620286116561688 4594.736401035421295 1.641960122749909 4596.268235127266053 1.632174870959099 4597.800579915586241 1.616871910772800 4599.333435570641996 1.622433175902978 4600.866802262746205 1.649692793309082 4602.400680162281787 1.692840831942923 4603.935069439676226 1.741356942363273 4605.469970265416123 1.777909207043687 4607.005382810041738 1.788950806805851 4608.541307244163363 1.773250492915453 4610.077743738435856 1.414522129885007 4611.614692463572283 1.405255616407131 4613.152153590342095 1.404985578940285 4614.690127289582961 1.412525619658671 4616.228613732176200 1.417316546782434 4617.767613089064071 1.408883261987062 4619.307125531242491 1.388917804700763 4620.847151229777410 1.372861948992780 4622.387690355778432 1.369213975073973 4623.928743080417007 1.373733903045739 4625.470309574915518 1.379594619070222 4627.012390010569106 1.380269727005831 4628.554984558714750 1.367198488408265 4630.098093390753093 1.340887845072892 4631.641716678134799 1.307979086767934 4633.185854592383293 1.273472166447028 4634.730507305064748 1.240069191845752 4636.275674987808088 1.208172809003409 4637.821357812292263 1.177795136061194 4639.367555950270798 1.152428411874835 4640.914269573537240 1.136955238347903 4642.461498853950616 1.134723196126114 4644.009243963419067 1.141925371638499 4645.557505073923494 1.157620492603673 4647.106282357489363 1.186077745473147 4648.655575986203075 1.228027374589324 4650.205386132207423 1.276664606755946 4651.755712967698855 1.318366591995474 4653.306556664945674 1.343262382069073 4654.857917396258927 1.355095068610195 4656.409795334012415 1.359491804533100 4657.962190650632692 1.360904206398527 4659.515103518616343 1.357005120608072 4661.068534110505425 1.347282259298765 4662.622482598902934 1.335320328817593 4664.176949156465525 1.330700217090948 4665.731933955920795 1.337382733995882 4667.287437170039993 1.351848014523242 4668.843458971657128 1.356823586744146 4670.399999533658956 1.337752278457164 4671.957059029003176 1.304745235435516 4673.514637630692050 1.279178505165338 4675.072735511790597 1.270783403303438 4676.631352845414767 1.269832745413721 4678.190489804754179 1.260552177917807 4679.750146563042108 1.242210962730613 4681.310323293572765 1.222971712158673 4682.871020169695839 1.212265658698852 4684.432237364830144 1.215441096339596 4685.993975052440874 1.224814078628471 4687.556233406052343 1.232252474581209 4689.119012599246162 1.236510992979941 4690.682312805673064 1.238774102940432 4692.246134199029257 1.230138378947923 4693.810476953070975 1.206134786021096 4695.375341241609931 1.172109709113189 4696.940727238530599 1.144945099188379 4698.506635117758378 1.132066473759446 4700.073065053284154 1.129880458132875 4701.640017219155197 1.126257887629488 4703.207491789472442 1.107270778557702 4704.775488938410490 1.080081213019127 4706.344008840183960 1.068978772642310 4707.913051669075685 1.086088552453119 4709.482617599416699 1.120927628821397 4711.052706805614434 1.151798428064218 4712.623319462117252 1.169108591680518 4714.194455743438084 1.170151890532635 4715.766115824143526 1.161462246595324 4717.338299878871112 1.156560337176134 4718.911008082303852 1.167878571138556 4720.484240609186600 1.193391835715415 4722.057997634318781 1.217179750093593 4723.632279332570761 1.230075025392448 4725.207085878859289 1.227531539836415 4726.782417448162050 1.218182251356867 4728.358274215510392 1.213785381607378 4729.934656356011146 1.215658701170865 4731.511564044811166 1.215343651273519 4733.088997457123696 1.201682871752398 4734.666956768213822 1.176084080920138 4736.245442153419390 1.147388200953374 4737.824453788123719 1.124486602658508 4739.403991847771977 1.111992232249615 4740.984056507863897 1.106314319041784 4742.564647943971977 1.101107394333160 4744.145766331712366 1.096130161523824 4745.727411846764880 1.090797063675389 4747.309584664868453 1.085397648763978 4748.892284961814767 1.079935231020249 4750.475512913469174 1.074636771908152 4752.059268695740684 1.069062915644869 4753.643552484602878 1.063392870961712 4755.228364456081181 1.057115660941260 4756.813704786277412 1.047954013050596 4758.399573651334322 1.038018138524047 4759.985971227459231 1.035511371055660 4761.572897690914942 1.039359495987400 4763.160353218036107 1.040579040677003 4764.748337985201033 1.033622659222829 4766.336852168852602 1.020096627108044 4767.925895945487355 1.006604098781275 4769.515469491676413 0.998326368854311 4771.105572984033643 1.001961763091364 4772.696206599237485 1.009025163897193 4774.287370514020040 1.006140368700610 4775.879064905186169 0.993364935008090 4777.471289949587117 0.984570618702041 4779.064045824135974 0.992219703439721 4780.657332705801309 1.008370944716486 4782.251150771624452 1.019068150051872 4783.845500198692207 1.017554719143297 4785.440381164153223 1.007211777978382 4787.035793845211629 0.997576092164459 4788.631738419146131 0.995836824511540 4790.228215063279094 1.002438302690740 4791.825223954996545 1.009503552942118 4793.422765271738172 1.010744140270808 4795.020839191019149 1.003562822087860 4796.619445890399220 0.994685031929358 4798.218585547499970 0.989903174844923 4799.818258340003922 0.988480379536809 4801.418464445647260 0.987015014332529 4803.019204042241654 0.985264308086366 4804.620477307641522 0.984674057512416 4806.222284419765856 0.984532369515847 4807.824625556588217 0.982430391313073 4809.427500896156744 0.977595201204264 4811.030910616563233 0.970433902954229 4812.634854895964963 0.962270767735053 4814.239333912573784 0.953246951799878 4815.844347844673393 0.943547317073484 4817.449896870593875 0.934311463263063 4819.055981168730796 0.927450286913913 4820.662600917531563 0.924313263653449 4822.269756295520892 0.927471588461818 4823.877447481265335 0.938297002212429 4825.485674653397837 0.954176384091364 4827.094437990605002 0.972740158915684 4828.703737671648923 0.992913159403891 4830.313573875335351 1.014656497950717 4831.923946780535516 1.035740351633114 4833.534856566173403 1.052436051919815 4835.146303411250301 1.060051125819288 4836.758287494810247 1.056751908677352 4838.370808995962761 1.043172111525282 4839.983868093871024 1.022245340286955 4841.597464967775522 1.000063634210330 4843.211599796958581 0.978510139266935 4844.826272760768916 0.955586034836211 4846.441484038608905 0.930911265371790 4848.057233809957324 0.907804800856706 4849.673522254337513 0.888999316523048 4851.290349551335567 0.874379736496665 4852.907715880599426 0.863211838825195 4854.525621421832511 0.855170205681941 4856.144066354811002 0.850303138176792 4857.763050859357463 0.847151136019065 4859.382575115358122 0.845018362498356 4861.002639302757416 0.844777525241595 4862.623243601569811 0.845367829557744 4864.244388191859798 0.845015836340612 4865.866073253752802 0.845178003808839 4867.488298967431547 0.849463245936738 4869.111065513154244 0.857441046668594 4870.734373071221853 0.861845986436917 4872.358221822003543 0.859335629268414 4873.982611945920326 0.852543399911929 4875.607543623470519 0.847498443909450 4877.233017035197918 0.846166065210707 4878.859032361709069 0.848371703899143 4880.485589783668729 0.852568019441327 4882.112689481815323 0.856303781136892 4883.740331636932751 0.857169489654379 4885.368516429868578 0.857192658465149 4886.997244041529484 0.860300347048221 4888.626514652894002 0.863804123702030 4890.256328444987048 0.863059002906624 4891.886685598899930 0.860254882441338 4893.517586295777619 0.863038380189438 4895.149030716841480 0.871335180208159 4896.781019043358356 0.874637366470455 4898.413551456660571 0.867369785018980 4900.046628138139567 0.850776507880762 4901.680249269244086 0.831849695810810 4903.314415031497447 0.816754838971910 4904.949125606469352 0.813332158396604 4906.584381175793169 0.820430552369087 4908.220181921158655 0.829240711919785 4909.856528024332874 0.827840886820583 4911.493419667126545 0.817184848527909 4913.130857031415871 0.804648630515518 4914.768840299133444 0.797192961360766 4916.407369652289162 0.794165931788429 4918.046445272933852 0.791354546033259 4919.686067343190189 0.783089228278334 4921.326236045230871 0.768787351558829 4922.966951561307724 0.751837880492062 4924.608214073718045 0.736460789201849 4926.250023764823709 0.723499094956805 4927.892380817042977 0.713895236021800 4929.535285412870508 0.707231627738825 4931.178737734846436 0.701737272262979 4932.822737965575470 0.696259073947576 4934.467286287719617 0.692664852292860 4936.112382884017279 0.691956081690762 4937.758027937250517 0.690675600430876 4939.404221630271422 0.686062829948263 4941.050964145982107 0.680530279553963 4942.698255667366539 0.680497163642778 4944.346096377450522 0.688458450744224 4945.994486459328073 0.704224445342079 4947.643426096148687 0.724213510383022 4949.292915471138258 0.744135513631151 4950.942954767568153 0.760303272729637 4952.593544168775225 0.771796596808011 4954.244683858159988 0.780966967721447 4955.896374019174800 0.791278836689926 4957.548614835353874 0.803988026295940 4959.201406490272348 0.817915385139069 4960.854749167574482 0.830538674151716 4962.508643050960018 0.838242638143360 4964.163088324204182 0.837932833256192 4965.818085171131315 0.829343358465403 4967.473633775627604 0.818765077753861 4969.129734321639262 0.810980693234600 4970.786386993186170 0.807628299559873 4972.443591974338233 0.805157874101217 4974.101349449227200 0.801375248088217 4975.759659602043030 0.795446504891343 4977.418522617054805 0.787814236636859 4979.077938678573446 0.779750353905656 4980.737907970979904 0.775224608727055 4982.398430678708792 0.775756570254172 4984.059506986273846 0.779424485942854 4985.721137078233369 0.781631125921442 4987.383321139213876 0.778600106544719 4989.046059353896453 0.768165202164957 4990.709351907040400 0.749327869278216 4992.373198983450493 0.726818569648759 4994.037600767998811 0.707511346818587 4995.702557445614730 0.697634945452809 4997.368069201302205 0.694197198959737 4999.034136220114306 0.693359303766698 5000.700758687167763 0.694528616229622 5002.367936787644794 0.699810575462739 5004.035670706781275 0.711356256220699 5005.703960629891299 0.730199293132319 5007.372806742336252 0.748601570494419 5009.042209229542095 0.755731939384089 5010.712168276992998 0.745935393652164 5012.382684070251344 0.732307491524889 5014.053756794924084 0.725049187588632 5015.725386636685471 0.726301194874464 5017.397573781267965 0.730365723038817 5019.070318414480425 0.733499409113946 5020.743620722177184 0.732006934751021 5022.417480890281695 0.727529080841960 5024.091899104772892 0.727266019952882 5025.766875551708836 0.737320512675983 5027.442410417190331 0.749573152476712 5029.118503887390034 0.753457596119045 5030.795156148533351 0.746058783548214 5032.472367386927544 0.733692977348289 5034.150137788923530 0.720535603255026 5035.828467540939528 0.708890357529521 5037.507356829451965 0.701386826335323 5039.186805841014575 0.699280342894053 5040.866814762227477 0.702704123723441 5042.547383779758093 0.711322447635693 5044.228513080332050 0.723962695827704 5045.910202850750466 0.738309460260666 5047.592453277863569 0.750531766044756 5049.275264548587074 0.759461811252909 5050.958636849896720 0.766330345569396 5052.642570368841916 0.773829670169530 5054.327065292523002 0.782917718544681 5056.012121808105803 0.791103446955753 5057.697740102817988 0.794078984833178 5059.383920363945435 0.793091092590490 5061.070662778852238 0.793159347631106 5062.757967534949785 0.797772501544051 5064.445834819714946 0.805449246655761 5066.134264820683711 0.813188800155746 5067.823257725471194 0.818201630468662 5069.512813721736165 0.817187274426263 5071.202932997207427 0.811670743108143 5072.893615739671986 0.806926276480247 5074.584862136993252 0.806754604909473 5076.276672377081923 0.806705468859556 5077.969046647916912 0.802735130737350 5079.661985137535339 0.795427225914053 5081.355488034050722 0.789489719832760 5083.049555525626602 0.788122386118169 5084.744187800491090 0.791825338777811 5086.439385046932330 0.795292925476606 5088.135147453314858 0.793079779061223 5089.831475208053234 0.786016968878695 5091.528368499627504 0.781555099278720 5093.225827516575919 0.784434781955370 5094.923852447514946 0.794979219609909 5096.622443481110167 0.810408186213522 5098.321600806092647 0.824413746488828 5100.021324611253476 0.834118924048237 5101.721615085461053 0.843453803144855 5103.422472417631070 0.859383703760030 5105.123896796747431 0.878666678828565 5106.825888411852247 0.893696862087270 5108.528447452065848 0.903069970715759 5110.231574106557673 0.912955400057671 5111.935268564562648 0.922923746694380 5113.639531015380271 0.927786019794308 5115.344361648368249 0.927143032192778 5117.049760652962505 0.923960383522386 5118.755728218646254 0.919426140567788 5120.462264534971837 0.916299386298293 5122.169369791548888 0.918763023004751 5123.877044178067081 0.925325831260327 5125.585287884261561 0.928042227875909 5127.294101099937507 0.925226470917718 5129.003484014958303 0.924685014409983 5130.713436819265553 0.931380404366356 5132.423959702849061 0.940845394092787 5134.135052855766844 0.948337486236905 5135.846716468135128 0.954844135325987 5137.558950730148354 0.961395549361103 5139.271755832050985 0.965530862117410 5140.985131964152970 0.964767441844336 5142.699079316826101 0.956978508798919 5144.413598080518568 0.941866522832329 5146.128688445727676 0.927109739912611 5147.844350603018029 0.921462150536844 5149.560584743013351 0.926352282055335 5151.277391056418310 0.932248731771163 5152.994769733983048 0.932513404287003 5154.712720966526831 0.926617777615705 5156.431244944929858 0.920251252861582 5158.150341860147819 0.922154812111646 5159.870011903186423 0.934866694060164 5161.590255265120504 0.951056424289067 5163.311072137088559 0.958436625248682 5165.032462710287291 0.956140257182919 5166.754427175992532 0.950413868661162 5168.476965725527407 0.947462864724098 5170.200078550286889 0.950000959178099 5171.923765841721433 0.957525874549820 5173.648027791363347 0.965821834482725 5175.372864590790414 0.969945128683022 5177.098276431653176 0.971675838929537 5178.824263505657655 0.974338332446844 5180.550826004589908 0.978178214142782 5182.277964120286924 0.981553981669868 5184.005678044652086 0.984917141708318 5185.733967969646983 0.989399662922439 5187.462834087316878 0.994941665092058 5189.192276589750691 1.000564859427913 5190.922295669110099 1.006701336605186 5192.652891517613170 1.014426939538128 5194.384064327558917 1.023480536045958 5196.115814291295464 1.032385568718088 5197.848141601238240 1.040190225217695 5199.581046449864516 1.046016513695948 5201.314529029727964 1.049579770783228 5203.048589533434097 1.052548983120171 5204.783228153654818 1.055862411348862 5206.518445083123879 1.058722328327936 5208.254240514652338 1.058419628825747 5209.990614641102184 1.053222574628615 5211.727567655403618 1.044693796963474 5213.465099750545050 1.039253436483810 5215.203211119597654 1.042841890560237 5216.941901955678986 1.052341398057514 5218.681172451977545 1.060812223881922 5220.421022801744584 1.063788921826294 5222.161453198292293 1.061644624243375 5223.902463835011986 1.056193967343587 5225.644054905344092 1.050329185689921 5227.386226602799070 1.047708811502300 5229.128979120945587 1.047567500239093 5230.872312653434165 1.044563162403999 5232.616227393962617 1.035021908318347 5234.360723536299702 1.022172536848237 5236.105801274272380 1.014821443731823 5237.851460801789472 1.017356740525848 5239.597702312807087 1.028468880678674 5241.344526001354097 1.043829803044006 5243.091932061513944 1.058002634638499 5244.839920687454651 1.065964106475939 5246.588492073392445 1.067227076932556 5248.337646413612674 1.068020281954738 5250.087383902459806 1.073286970374463 5251.837704734360159 1.079691381301592 5253.588609103789167 1.081782352150724 5255.340097205291386 1.078419703752215 5257.092169233470486 1.072985138455158 5258.844825383013813 1.068500005107820 5260.598065848653277 1.067233099737987 5262.351890825193550 1.070402424641781 5264.106300507501146 1.076535489107221 5265.861295090518979 1.083539063358748 5267.616874769240894 1.089916599867385 5269.373039738733496 1.095156056240185 5271.129790194117959 1.099735490821895 5272.887126330601859 1.104589191300802 5274.645048343438248 1.110144097564434 5276.403556427952935 1.115255510564205 5278.162650779533578 1.117105043528147 5279.922331593632407 1.116623263370544 5281.682599065778049 1.117600625142618 5283.443453391550975 1.121362965767152 5285.204894766602592 1.124368226209194 5286.966923386642520 1.124626632198490 5288.729539447462230 1.123737987114053 5290.492743144902306 1.124471421263431 5292.256534674876093 1.130940694411383 5294.020914233353324 1.145367621182175 5295.785882016387404 1.163140425545675 5297.551438220079945 1.176885223389851 5299.317583040604404 1.184553122620058 5301.084316674194270 1.190718331835111 5302.851639317163063 1.197130700721175 5304.619551165875237 1.201696626553497 5306.388052416765277 1.203376554492870 5308.157143266328603 1.202536618487355 5309.926823911140673 1.199819313002477 5311.697094547826055 1.196731398112277 5313.467955373083896 1.193224863111672 5315.239406583670643 1.184794931390324 5317.011448376424596 1.171331649975031 5318.784080948233168 1.161187930286240 5320.557304496056531 1.159605298005326 5322.331119216913066 1.163301462336035 5324.105525307905737 1.165176013351467 5325.880522966184799 1.162826748740454 5327.656112388971451 1.157625060360788 5329.432293773553283 1.154071214723955 5331.209067317279732 1.158653213488737 5332.986433217579361 1.170574299176342 5334.764391671933481 1.181640583845689 5336.542942877891619 1.187765650811404 5338.322087033065145 1.191018877664216 5340.101824335149104 1.193853823514586 5341.882154981885833 1.197569739845995 5343.663079171088611 1.202260946114291 5345.444597100634383 1.207170865666656 5347.226708968479215 1.211362628236227 5349.009414972631930 1.214832404593518 5350.792715311167740 1.217887689038278 5352.576610182228251 1.220005865888587 5354.361099784034195 1.220931767683881 5356.146184314857237 1.221664668804681 5357.931863973039071 1.222409987515782 5359.718138956983239 1.223150414576427 5361.505009465176954 1.223880463820570 5363.292475696154725 1.224594801808540 5365.080537848523818 1.225281056636779 5366.869196120953347 1.224981447179730 5368.658450712192462 1.222395474916371 5370.448301821043060 1.217764257052639 5372.238749646377983 1.212067552029477 5374.029794387128277 1.205819308627213 5375.821436242312302 1.199420477246183 5377.613675410993892 1.193140588000039 5379.406512092312369 1.186964433526521 5381.199946485465262 1.180941418621405 5382.993978789734683 1.176122025756699 5384.788609204451859 1.173816349018024 5386.583837929018955 1.173545926402612 5388.379665162907258 1.174834047725917 5390.176091105648084 1.175841308937266 5391.973115956854599 1.177448685445887 5393.770739916189996 1.179117043603614 5395.568963183390224 1.180781162888717 5397.367785958253990 1.182466430402622 5399.167208440660943 1.184148281105964 5400.967230830539847 1.185825220193636 5402.767853327895864 1.187496037706695 5404.569076132790542 1.189173434601632 5406.370899445370924 1.189883447895259 5408.173323465834983 1.187428599440838 5409.976348394451634 1.184274099987505 5411.779974431551636 1.185090168105654 5413.584201777548515 1.191032825554703 5415.389030632906724 1.200209904406859 5417.194461198163481 1.209281685369619 5419.000493673915116 1.214277785061585 5420.807128260844365 1.215028685618222 5422.614365159682166 1.214767683688201 5424.422204571232214 1.216962140265648 5426.230646696361873 1.223206429199468 5428.039691736017630 1.229442289275783 5429.849339891201453 1.228713476791196 5431.659591362983520 1.221490610544556 5433.470446352497675 1.213251946711754 5435.281905060961435 1.209231280032256 5437.093967689643250 1.211551662451827 5438.906634439882509 1.217851905481178 5440.719905513086815 1.224664056379398 5442.533781110723794 1.230760970305765 5444.348261434349297 1.237153189240608 5446.163346685563738 1.244843042940403 5447.979037066045748 1.254879551740452 5449.795332777530348 1.266471571445626 5451.612234021842596 1.275955371713579 5453.429741000852118 1.282371285946279 5455.247853916505846 1.286895372945279 5457.066572970808920 1.290322695570396 5458.885898365853791 1.291881281616098 5460.705830303782932 1.291270396350112 5462.526368986808848 1.288004030600902 5464.347514617209526 1.282584907011727 5466.169267397344811 1.277915495718615 5467.991627529627294 1.277332899634220 5469.814595216540511 1.278680985543734 5471.638170660630749 1.278356560284094 5473.462354064528881 1.276808767084235 5475.287145630916712 1.276623204271858 5477.112545562547893 1.278993226162511 5478.938554062240655 1.282901203491657 5480.765171332895079 1.287798798605295 5482.592397577462179 1.292118073525036 5484.420232998969368 1.293180939113417 5486.248677800501355 1.288862233193855 5488.077732185231071 1.281684801890874 5489.907396356381469 1.276727217291693 5491.737670517248262 1.274104127013548 5493.568554871189917 1.271046676691631 5495.400049621647668 1.266851951710233 5497.232154972117314 1.263353098568625 5499.064871126165599 1.261351028897556 5500.898198287427476 1.260443861654401 5502.732136659599746 1.260158612767204 5504.566686446465610 1.261115846358185 5506.401847851858292 1.262374111848818 5508.237621079682867 1.261830939506818 5510.074006333910802 1.257381640628578 5511.911003818595418 1.246960237752761 5513.748613737840969 1.231218582562283 5515.586836295828107 1.216716042842533 5517.425671696795689 1.208652415178352 5519.265120145071705 1.206278933814536 5521.105181845034167 1.205845971107986 5522.945857001133845 1.203774175898995 5524.787145817883356 1.197966155721039 5526.629048499882629 1.188039853423885 5528.471565251782522 1.177731321907306 5530.314696278306656 1.174708055314601 5532.158441784240495 1.179847486211001 5534.002801974457725 1.184419188483801 5535.847777053881146 1.181345548820384 5537.693367227507224 1.171091460455440 5539.539572700396093 1.156943767029321 5541.386393677693377 1.143041263113300 5543.233830364596542 1.133220063454953 5545.081882966374906 1.128251652335678 5546.930551688361447 1.125064924931787 5548.779836735978279 1.118792199917304 5550.629738314692077 1.108211740060508 5552.480256630050462 1.095874571927778 5554.331391887658356 1.084804642788503 5556.183144293210717 1.078321830073165 5558.035514052451617 1.077325232476173 5559.888501371199709 1.077790525587185 5561.742106455342764 1.076743885551850 5563.596329510830401 1.078752215310925 5565.451170743699549 1.087174790952917 5567.306630360038071 1.098217419684508 5569.162708566007495 1.106900436270981 5571.019405567834838 1.112003726634299 5572.876721571828966 1.113887749415490 5574.734656784352410 1.112028006999046 5576.593211411844095 1.107929737680442 5578.452385660804794 1.105530645174622 5580.312179737818951 1.106056633009413 5582.172593849525583 1.106267035053027 5584.033628202636464 1.104698403771553 5585.895283003928853 1.104524478166514 5587.757558460264590 1.108369515929765 5589.620454778556450 1.113737543767376 5591.483972165794512 1.117443240209181 5593.348110829028883 1.120580412093388 5595.212870975397891 1.124622178146551 5597.078252812091705 1.126118259392286 5598.944256546375073 1.120616538011902 5600.810882385575496 1.109543134315383 5602.678130537107791 1.097599607796468 5604.546001208438611 1.087297436723752 5606.414494607108281 1.079846733064312 5608.283610940721701 1.076395758165711 5610.153350416971080 1.075412629470384 5612.023713243597740 1.073475684076968 5613.894699628420312 1.070200806936776 5615.766309779326548 1.069526733387698 5617.638543904266953 1.073303915345283 5619.511402211279346 1.077750311022142 5621.384884908454296 1.079006459637464 5623.258992203955131 1.075039260807082 5625.133724306009753 1.065751091063504 5627.009081422935196 1.053599696225937 5628.885063763097605 1.041422267832621 5630.761671534939524 1.031161199208929 5632.638904946967159 1.024209771020997 5634.516764207773122 1.019775073588180 5636.395249526003681 1.015599996660573 5638.274361110377868 1.010748083946525 5640.154099169682013 1.005877174079027 5642.034463912787032 1.002815815698392 5643.915455548614773 1.002047670001882 5645.797074286166207 1.000964697471358 5647.679320334504155 0.996837501231873 5649.562193902777835 0.991402978971275 5651.445695200189220 0.988493075721096 5653.329824436017589 0.986765468206667 5655.214581819604973 0.982644496680682 5657.099967560378900 0.974928957086931 5658.985981867821465 0.964822333932793 5660.872624951491161 0.954627870144992 5662.759897021007419 0.948319566940793 5664.647798286079706 0.950432267488678 5666.536328956468424 0.959382559499139 5668.425489242010372 0.964718288066534 5670.315279352606922 0.962202776161137 5672.205699498246759 0.958270269542370 5674.096749888969498 0.958637755937356 5675.988430734892063 0.963768107693580 5677.880742246202317 0.971530150385209 5679.773684633150879 0.978719690943651 5681.667258106075678 0.981664299357494 5683.561462875368306 0.976992539116772 5685.456299151495841 0.965984744330643 5687.351767144990845 0.955212069128600 5689.247867066470462 0.947935899892251 5691.144599126608227 0.943951748411745 5693.041963536152252 0.941089743963023 5694.939960505914314 0.935513859321912 5696.838590246794411 0.925873173910784 5698.737852969746200 0.915931865809273 5700.637748885797919 0.910759761731339 5702.538278206045106 0.913490490837021 5704.439441141667885 0.921440312313439 5706.341237903900947 0.926769271081471 5708.243668704055381 0.925426386464814 5710.146733753505941 0.919373165639601 5712.050433263717423 0.914808495782966 5713.954767446203732 0.916917860405165 5715.859736512559721 0.923557814671471 5717.765340674442086 0.927830765909811 5719.671580143596657 0.926602491910508 5721.578455131821102 0.922280889738233 5723.485965850990397 0.919261161532917 5725.394112513045002 0.920568805516786 5727.302895330012689 0.925208059824675 5729.212314513975798 0.931617754496108 5731.122370277089431 0.938353438322432 5733.033062831578718 0.944931917575434 5734.944392389752466 0.950873080621841 5736.856359163976776 0.953792029628456 5738.768963366690514 0.951524930171105 5740.682205210406210 0.945030122689084 5742.596084907700060 0.939821713748994 5744.510602671238303 0.940354696475232 5746.425758713737196 0.943841822847274 5748.341553247993033 0.944536710202998 5750.257986486866685 0.941350730731459 5752.175058643305420 0.937648842378587 5754.092769930312897 0.937431266556760 5756.011120560966447 0.941867817013278 5757.930110748412517 0.949358273264869 5759.849740705882141 0.956830966508206 5761.770010646661831 0.961365256361134 5763.690920784115406 0.962522893978829 5765.612471331671259 0.961869638235803 5767.534662502846913 0.958984690048305 5769.457494511213554 0.952003968044573 5771.380967570418761 0.942664618910784 5773.305081894175601 0.936273503583885 5775.229837696287177 0.935777025208464 5777.155235190608437 0.938960768117414 5779.081274591073452 0.942187070314789 5781.007956111679960 0.942724182727845 5782.935279966514827 0.941688521258633 5784.863246369721310 0.943040817889661 5786.791855535515424 0.948607128388156 5788.721107678184126 0.957059230828532 5790.651003012097135 0.964349298464687 5792.581541751684199 0.967401345063105 5794.512724111447824 0.965896954285678 5796.444550305965095 0.960673676273771 5798.377020549875851 0.956138007405968 5800.310135057912703 0.957382996921941 5802.243894044860099 0.963575207465068 5804.178297725578886 0.969695182765670 5806.113346314996306 0.975636801603034 5808.049040028132367 0.983020311826800 5809.985379080056191 0.990891783376438 5811.922363685916935 0.999315214318143 5813.859994060929239 1.011584448836016 5815.798270420396875 1.028251018167224 5817.737192979679094 1.044892851722548 5819.676761954210633 1.057742722946030 5821.616977559493534 1.064976027290047 5823.557840011118969 1.065317384415934 5825.499349524732679 1.062582363117120 5827.441506316057712 1.061916323489063 5829.384310600884419 1.064818173738374 5831.327762595090462 1.068217075201581 5833.271862514608074 1.066305759243797 5835.216610575451341 1.057828147418660 5837.162006993696195 1.047577374944249 5839.108051985507700 1.043488553667667 5841.054745767110035 1.050258822903125 5843.002088554800139 1.063665315137383 5844.950080564945893 1.076637366773331 5846.898722014000668 1.086117423627440 5848.848013118475137 1.092021714912861 5850.797954094957277 1.096468490799950 5852.748545160100548 1.100709789029731 5854.699786530650272 1.103898097184161 5856.651678423404519 1.104723212254632 5858.604221055240487 1.103772849137940 5860.557414643106313 1.101454352699181 5862.511259404018347 1.097238726038105 5864.465755555082069 1.090205645758950 5866.420903313458439 1.080806021326849 5868.376702896385723 1.070859748674813 5870.333154521169490 1.063039849116152 5872.290258405203531 1.058693872993145 5874.248014765938933 1.056581784005660 5876.206423820905002 1.054108192235800 5878.165485787696525 1.050224045221417 5880.125200883996513 1.045311986845735 5882.085569327548910 1.041286031085353 5884.046591336169513 1.038423229758935 5886.008267127745967 1.037174993990171 5887.970596920252319 1.037003348861313 5889.933580931719916 1.036537539418530 5891.897219380258321 1.035395159864986 5893.861512484043487 1.033559036789369 5895.826460461341412 1.031336604128411 5897.792063530474479 1.029592813031126 5899.758321909843289 1.027841286058767 5901.725235817914836 1.026041074686204 5903.692805473247063 1.025280071777625 5905.661031094452483 1.027440360806183 5907.629912900221825 1.032190064938386 5909.599451109315851 1.037803155192168 5911.569645940582632 1.042663567543538 5913.540497612928448 1.045198650780562 5915.512006345334157 1.044493018952782 5917.484172356858835 1.043666109120950 5919.456995866625221 1.048242644274796 5921.430477093847003 1.057516465880688 5923.404616257794260 1.064348838468753 5925.379413577817104 1.064725650552986 5927.354869273329314 1.058494659820304 5929.330983563839254 1.048322438606812 5931.307756668909860 1.039649087164174 5933.285188808181374 1.035516868031432 5935.263280201363159 1.034678362225536 5937.242031068253709 1.031483326648064 5939.221441628709727 1.024438333476439 5941.201512102666129 1.018577318402697 5943.182242710123319 1.017705975386229 5945.163633671176285 1.023000737846019 5947.145685205970949 1.032006055111266 5949.128397534737815 1.040115932588797 5951.111770877771050 1.044973971203625 5953.095805455456684 1.047445238488604 5955.080501488238951 1.049115234285321 5957.065859196638485 1.049861371535777 5959.051878801244129 1.047842461507959 5961.038560522737498 1.041322994767565 5963.025904581854775 1.031942464349783 5965.013911199412178 1.023670875522560 5967.002580596294138 1.016855283919456 5968.991912993473306 1.009666592084181 5970.981908611984181 1.002719708036341 5972.972567672934019 0.998002389504526 5974.963890397502837 0.996778506394398 5976.955877006960691 0.999553254190950 5978.948527722634026 1.007405317784385 5980.941842765925685 1.017587594137489 5982.935822358318546 1.024596738973491 5984.930466721358243 1.028204553451929 5986.925776076684997 1.030128684346838 5988.921750645991779 1.025042416964566 5990.918390651056143 1.025697580467736 5992.915696313718399 1.026637849463941 5994.913667855915264 1.027477346826364 5996.912305499636204 1.025733841034683 5998.911609466953450 1.020973268011828 6000.911579980005627 1.015266031846096 6002.912217261022306 1.011101796013374 6004.913521532293089 1.010618800594392 6006.915493016182154 1.011477852061200 6008.918131935126439 1.008727638882433 6010.921438511652923 1.002806052977757 6012.925412968345881 0.995696337702301 6014.930055527868717 0.987047816856166 6016.935366412952135 0.976925296522999 6018.941345846424156 0.967255541593071 6020.947994051161004 0.958731485143179 6022.955311250127124 0.949798779303018 6024.963297666348808 0.939617380870978 6026.971953522950571 0.930491271960306 6028.981279043107861 0.926363056472640 6030.991274450080709 0.926747113203241 6033.001939967194630 0.928346382046347 6035.013275817869726 0.929996573805459 6037.025282225582487 0.931485365426860 6039.037959413888530 0.932615043527071 6041.051307606411683 0.935379290487002 6043.065327026870364 0.941483000606814 6045.080017899037557 0.950336225454722 6047.095380446769923 0.960055162130872 6049.111414893994151 0.967275180725355 6051.128121464709693 0.970145456308886 6053.145500383006947 0.971170790126654 6055.163551873030883 0.973573247450962 6057.182276159012872 0.978326607373099 6059.201673465247950 0.984382322251808 6061.221744016124831 0.988459277624646 6063.242488036091345 0.987731742069984 6065.263905749673540 0.983565136939290 6067.285997381467496 0.979874270326226 6069.308763156162968 0.978999162186407 6071.332203298504282 0.980236066966628 6073.356318033319440 0.981730942318157 6075.381107585502832 0.983045324972339 6077.406572180045259 0.984372627381971 6079.432712041989362 0.985680779212059 6081.459527396464182 0.987331422816649 6083.487018468663337 0.989737826249769 6085.515185483877758 0.993134657158138 6087.544028667452039 0.996632780090328 6089.573548244813537 1.000582972670234 6091.603744441458730 1.006938820475001 6093.634617482976864 1.015583754558735 6095.666167595013576 1.023621609037612 6097.698395003298174 1.028161202360754 6099.731299933626360 1.029525048046371 6101.764882611889334 1.030870592953496 6103.799143264033773 1.033646039648724 6105.834082116090940 1.037606669688080 6107.869699394162126 1.041150057259328 6109.905995324423202 1.041813026380032 6111.942970133139170 1.039416485009987 6113.980624046636876 1.035343331866947 6116.018957291322295 1.031291889933662 6118.057970093667791 1.029854101043892 6120.097662680245776 1.031318549710041 6122.138035277681411 1.034881593772752 6124.179088112682621 1.040933665242902 6126.220821412027362 1.047081704066786 6128.263235402586361 1.049871625700042 6130.306330311289457 1.050748735992462 6132.350106365146530 1.052129012805538 6134.394563791237488 1.052501299564505 6136.439702816736826 1.051604189638290 6138.485523668876340 1.053539495814853 6140.532026574970587 1.059254028101438 6142.579211762399609 1.063533955680870 6144.627079458642584 1.064276428605608 6146.675629891235076 1.066837900902694 6148.724863287791777 1.074079990829551 6150.774779876000139 1.081897197513477 6152.825379883641290 1.087270886923268 6154.876663538552748 1.092486150319833 6156.928631068656614 1.098475685028579 6158.981282701940472 1.101819847500395 6161.034618666491042 1.102486645029786 6163.088639190449612 1.103420844410186 6165.143344502042055 1.104817324736170 6167.198734829560635 1.105305507210678 6169.254810401396753 1.105326129300948 6171.311571445995469 1.106148441692988 6173.369018191886425 1.108515613585525 6175.427150867673845 1.111875221898925 6177.485969702034708 1.114867270056729 6179.545474923737856 1.117781686366236 6181.605666761610337 1.122128986079689 6183.666545444564690 1.127966946448545 6185.728111201578940 1.133655235234215 6187.790364261729337 1.137828052431385 6189.853304854148519 1.140146527435029 6191.916933208052797 1.141194269269200 6193.981249552727604 1.141354724292330 6196.046254117553872 1.140198531789245 6198.111947131969828 1.136943318792388 6200.178328825497374 1.130685585203704 6202.245399427729353 1.119953848131301 6204.313159168350467 1.108625913840113 6206.381608277107262 1.102781987123580 6208.450746983827230 1.102041611118537 6210.520575518407895 1.100828055467266 6212.591094110843187 1.097127742030547 6214.662302991183424 1.092405600762306 6216.734202389563507 1.089969690090404 6218.806792536189278 1.091608443541437 6220.880073661360257 1.095310878284971 6222.954045995434171 1.099369488079502 6225.028709768853332 1.101698274809330 6227.104065212129171 1.099336294706663 6229.180112555869528 1.094195085991174 6231.256852030739537 1.090703811104193 6233.334283867488921 1.089767191538292 6235.412408296935610 1.088633664641190 6237.491225549996670 1.084126007420545 6239.570735857645559 1.077645899687370 6241.650939450937585 1.073346102718889 6243.731836561006276 1.071918599036662 6245.813427419057916 1.070165430517936 6247.895712256391562 1.066263578836985 6249.978691304366293 1.060802168079775 6252.062364794424866 1.054239292055601 6254.146732958078246 1.048367229567471 6256.231796026937445 1.044074708451200 6258.317554232669863 1.038454196924792 6260.404007807026574 1.029128857763411 6262.491156981826862 1.016064811904222 6264.579001988991877 1.002703182000087 6266.667543060497337 0.995258583829768 6268.756780428401726 0.994835817000908 6270.846714324838103 0.997980076329641 6272.937344982033210 1.000773420761106 6275.028672632272901 1.002904228612756 6277.120697507927616 1.009949016668815 6279.213419841436917 1.022624831531940 6281.306839865339498 1.034882701953866 6283.400957812230445 1.047524054590397 6285.495773914790334 1.061590401679978 6287.591288405768864 1.071301847796787 6289.687501518014869 1.074028599092806 6291.784413484434481 1.072655609189728 6293.882024538017504 1.069999899786181 6295.980334911825594 1.065149152811972 6298.079344839016812 1.057572590257470 6300.179054552808338 1.053322189941414 6302.279464286501934 1.054357602449590 6304.380574273474849 1.052295381431846 6306.482384747179822 1.045215499039073 6308.584895941161449 1.039167819779978 6310.688108089027082 1.036867153474166 6312.792021424466839 1.036941972839618 6314.896636181241774 1.037648830366049 6317.001952593212991 1.037454825402706 6319.107970894295249 1.035628263699401 6321.214691318492441 1.032354217369055 6323.322114099877581 1.029011868760393 6325.430239472620997 1.026923461396071 6327.539067670953955 1.026627706560926 6329.648598929189575 1.027590542118509 6331.758833481713737 1.028196056540742 6333.869771563010545 1.027211749038516 6335.981413407621403 1.025386512754260 6338.093759250174116 1.023739352145744 6340.206809325366521 1.022201748632161 6342.320563867995588 1.019374541062529 6344.435023112914678 1.013276140154681 6346.550187295066280 1.005925397328182 6348.666056649461098 1.001510059426549 6350.782631411208058 0.999665450816153 6352.899911815476116 0.999374461146713 6355.017898097518810 1.002631283903842 6357.136590492661526 1.008928675944602 6359.255989236326968 1.014591292360466 6361.376094563997867 1.018190819750571 6363.496906711241536 1.021419877194334 6365.618425913697138 1.024950827675594 6367.740652407102061 1.026187891882939 6369.863586427252812 1.025757137053537 6371.987228210030480 1.027635878949541 6374.111577991396189 1.030805174135650 6376.236636007381094 1.032224442486171 6378.362402494116395 1.033415207501630 6380.488877687792410 1.035978029101041 6382.616061824683129 1.039434982130630 6384.743955141136212 1.043237799201423 6386.872557873597543 1.047550891675717 6389.001870258572126 1.053085538558560 6391.131892532649545 1.058886904701394 6393.262624932493054 1.063172726939685 6395.394067694864134 1.064968741369340 6397.526221056581562 1.064356981174991 6399.659085254553247 1.064314198843616 6401.792660525756219 1.067839028806354 6403.926947107267551 1.074482061894065 6406.061945236225256 1.081856717598196 6408.197655149849197 1.086866749370793 6410.334077085435638 1.089285700654160 6412.471211280376338 1.091946327312279 6414.609057972124901 1.095966217696708 6416.747617398219518 1.101565453223859 6418.886889796272953 1.107075839713710 6421.026875403993472 1.110039373789797 6423.167574459150273 1.110733021945582 6425.308987199600779 1.111104022077856 6427.451113863271530 1.112445899166051 6429.593954688190934 1.114507138116661 6431.737509912444693 1.115686875007981 6433.881779774206734 1.116180045075598 6436.026764511728288 1.116449655711433 6438.172464363335166 1.116574704374507 6440.318879567450495 1.116642788302259 6442.466010362559246 1.116467622036140 6444.613856987231884 1.116135235226874 6446.762419680110725 1.115743872091730 6448.911698679938127 1.115093233980089 6451.061694225516476 1.114273289353305 6453.212406555734560 1.113139235529272 6455.363835909553018 1.111018189054504 6457.515982526033440 1.108248869117285 6459.668846644295627 1.104202264460316 6461.822428503548508 1.098599920916859 6463.976728343070135 1.092838729619402 6466.131746402243152 1.088406942236793 6468.287482920503862 1.086220451065286 6470.443938137381338 1.086409301589557 6472.601112292473772 1.088296050867124 6474.759005625482132 1.089747312004290 6476.917618376162864 1.088792604831471 6479.076950784364271 1.087696261452725 6481.237003090004691 1.088515985487188 6483.397775533103413 1.089868168583094 6485.559268353737934 1.090396079190900 6487.721481792077611 1.089387869604466 6489.884416088358194 1.085702069315221 6492.048071482920932 1.080317047629030 6494.212448216165285 1.075795006513702 6496.377546528578023 1.074003309620946 6498.543366660716856 1.074377670265192 6500.709908853243178 1.075288634737190 6502.877173346878408 1.077837392184319 6505.045160382427639 1.082417398466057 6507.213870200778729 1.088312308639113 6509.383303042893203 1.094742766902604 6511.553459149832634 1.102442263605927 6513.724338762719526 1.111922071691108 6515.895942122760971 1.121463492655652 6518.068269471241365 1.129590957127786 6520.241321049541511 1.135454216953393 6522.415097099107697 1.138115559244234 6524.589597861468064 1.138865886197184 6526.764823578228970 1.138420559825738 6528.940774491094089 1.135874250326048 6531.117450841829850 1.130594397873321 6533.294852872289994 1.123802283283957 6535.472980824399201 1.117617745625638 6537.651834940187655 1.112130057623891 6539.831415461741926 1.107341098618462 6542.011722631237717 1.104422630515220 6544.192756690924398 1.103622757223324 6546.374517883154112 1.103991818646604 6548.557006450335393 1.102627857168134 6550.740222634969541 1.098047237909232 6552.924166679628797 1.093369155554764 6555.108838826986357 1.089205244473639 6557.294239319777262 1.086974812163864 6559.480368400823863 1.088703419043181 6561.667226313022184 1.091629224287759 6563.854813299371017 1.092352772406871 6566.043129602927365 1.091186594470058 6568.232175466838271 1.092049995444928 6570.421951134324445 1.097810461026397 6572.612456848707552 1.105479918503805 6574.803692853370194 1.108627015380007 6576.995659391783192 1.107323196011595 6579.188356707498315 1.104081526426529 6581.381785044142816 1.100289881790770 6583.575944645443087 1.097222730420637 6585.770835755188273 1.095939043131354 6587.966458617255739 1.093608756013412 6590.162813475595613 1.092307585482843 6592.359900574262610 1.092315774084119 6594.557720157368749 1.092554820355522 6596.756272469117903 1.092549581049296 6598.955557753786707 1.092692551395469 6601.155576255752749 1.094531375237904 6603.356328219455463 1.098007247322034 6605.557813889425233 1.102027920724341 6607.760033510262474 1.106007207269455 6609.962987326672192 1.108390787419745 6612.166675583421238 1.108637319010964 6614.371098525362868 1.107818368538973 6616.576256397426732 1.109161798416219 6618.782149444643437 1.117233820980294 6620.988777912106343 1.132258319952356 6623.196142044996122 1.148832772149124 6625.404242088567116 1.163041638960786 6627.613078288179167 1.173244014305024 6629.822650889252145 1.179014002213879 6632.032960137292321 1.182398323113045 6634.244006277883273 1.184369472585500 6636.455789556711352 1.185616430183518 6638.668310219522937 1.186200096106891 6640.881568512153535 1.184989031415272 6643.095564680520511 1.180569024028042 6645.310298970616714 1.173396478081030 6647.525771628537768 1.164240399018857 6649.741982900441144 1.154560180913203 6651.958933032570712 1.147606319401108 6654.176622271248561 1.145543822477217 6656.395050862898643 1.146025543506060 6658.614219054004934 1.145954708961792 6660.834127091142363 1.144285413325067 6663.054775220961346 1.140392498152518 6665.276163690213252 1.135515908675949 6667.498292745712206 1.131869698187137 6669.721162634361463 1.131771798308584 6671.944773603140675 1.134557001027859 6674.169125899130449 1.135616504739649 6676.394219769474148 1.131127007508934 6678.620055461404263 1.123956978393965 6680.846633222229684 1.118469003497528 6683.073953299362074 1.115612045124996 6685.302015940273122 1.113806362575420 6687.530821392526377 1.109402447200443 6689.760369903759965 1.100512347421940 6691.990661721714787 1.089430537580584 6694.221697094195406 1.080810796367318 6696.453476269092789 1.077576462360442 6698.685999494377029 1.078510882156816 6700.919267018118262 1.079489699203143 6703.153279088453019 1.076945897462920 6705.388035953602412 1.070394186700603 6707.623537861867590 1.062812460500433 6709.859785061650655 1.058352378945039 6712.096777801416465 1.056564693489489 6714.334516329719918 1.053922273768494 6716.573000895199584 1.047892448666581 6718.812231746567704 1.040160669672412 6721.052209132642020 1.034286785002158 6723.292933302302117 1.031949075984872 6725.534404504516715 1.033611299607488 6727.776622988332747 1.038612724292580 6730.019589002897192 1.044999654283355 6732.263302797424330 1.050826050612168 6734.507764621213937 1.055004312483553 6736.752974723644002 1.058318025574771 6738.998933354196197 1.062427101265443 6741.245640762414041 1.067005394508594 6743.493097197932912 1.070076643566977 6745.741302910461854 1.070260159515490 6747.990258149817237 1.066077427881927 6750.239963165873633 1.058240939661063 6752.490418208600204 1.048305652417546 6754.741623528039781 1.037648173524849 6756.993579374340698 1.028711157677196 6759.246285997713130 1.022143350114582 6761.499743648456388 1.015647733137147 6763.753952576949814 1.009027264197169 6766.008913033674617 1.004010710522262 6768.264625269173848 1.003031506014441 6770.521089534082421 1.004810206598170 6772.778306079112554 1.002843174233994 6775.036275155080148 0.996492854899738 6777.294997012862041 0.991253780284138 6779.554471903428748 0.989189860642714 6781.814700077825364 0.990667052758298 6784.075681787202484 0.997375903475122 6786.337417282774368 1.007475307896276 6788.599906815843497 1.015654601196690 6790.863150637797844 1.018894184888134 6793.127149000102690 1.019755396937965 6795.391902154326999 1.027555348798249 6797.657410352103398 1.034493285077246 6799.923673845153644 1.033428626024891 6802.190692885278622 1.026379193424485 6804.458467724383809 1.016604946012725 6806.726998614437434 1.005593108712546 6808.996285807497770 0.995418372174062 6811.266329555700395 0.987763328394517 6813.537130111288207 0.983210902928715 6815.808687726563221 0.980724137420566 6818.081002653921132 0.977953478815689 6820.354075145835850 0.981681543989874 6822.627905454883148 0.990561929755087 6824.902493833705194 0.999988294374661 6827.177840535034193 1.005384701002866 6829.453945811677841 1.004246096262800 6831.730809916552971 0.999082650941316 6834.008433102634626 0.993670451031414 6836.286815622994254 0.991520632676963 6838.565957730778791 0.991977589045760 6840.845859679238856 0.992416560345146 6843.126521721689642 0.993673077838372 6845.407944111539109 0.997111051480679 6847.690127102271617 1.001412026017712 6849.973070947477026 1.004855395798028 6852.256775900807042 1.007157811456407 6854.541242216009778 1.010748199916263 6856.826470146912470 1.014787050757430 6859.112459947422394 1.015001810999589 6861.399211871554144 1.011794662884469 6863.686726173382340 1.006515626335131 6865.975003107076191 0.998319441044160 6868.264042926882212 0.987530657862711 6870.553845887150601 0.976865012504002 6872.844412242298858 0.971942387990068 6875.135742246831796 0.977084201319418 6877.427836155337900 0.985127279283413 6879.720694222505699 0.992430133750116 6882.014316703091026 0.998274451160704 6884.308703851940663 1.004307402951603 6886.603855923980518 1.012332091368460 6888.899773174239272 1.021829882803235 6891.196455857814726 1.030973248700994 6893.493904229891086 1.037953576965193 6895.792118545735320 1.037608702387063 6898.091099060718079 1.030352775491213 6900.390846030274588 1.022028289681587 6902.691359709931930 1.016335650751496 6904.992640355296317 1.013818705998586 6907.294688222078548 1.012872463285989 6909.597503566055821 1.014462732582890 6911.901086643096278 1.021117717328394 6914.205437709146281 1.033346215809097 6916.510557020259512 1.046498715142122 6918.816444832552406 1.054504580592451 6921.123101402235079 1.057524609907433 6923.430526985595861 1.059905134759836 6925.738721839029495 1.062186862837833 6928.047686218995295 1.065351676891015 6930.357420382044438 1.071501286279513 6932.667924584813591 1.077888266989647 6934.979199084018546 1.081503112008545 6937.291244136482419 1.084005240496617 6939.604059999091987 1.090286176149158 6941.917646928825889 1.101792627967877 6944.232005182743706 1.113659560927865 6946.547135018008703 1.123968782288298 6948.863036691852358 1.133114501974734 6951.179710461595278 1.137894706002766 6953.497156584639924 1.136847699075513 6955.815375318494262 1.132555120863281 6958.134366920729917 1.124766866630125 6960.454131649014016 1.112412867373903 6962.774669761090991 1.101278169152369 6965.095981514810774 1.096843963559847 6967.418067168092421 1.097473888330878 6969.740926978944117 1.101941135437682 6972.064561205454083 1.107480374741770 6974.388970105818771 1.108104704827466 6976.714153938299205 1.103962748333961 6979.040112961247360 1.101460841024910 6981.366847433097064 1.108307746618675 6983.694357612388558 1.122293185315762 6986.022643757727565 1.132041125735806 6988.351706127810758 1.130479121690467 6990.681544981417574 1.117464013661541 6993.012160577432951 1.099186485083210 6995.343553174806402 1.087213556647261 6997.675723032582027 1.088001554251370 7000.008670409889419 1.092357376114714 7002.342395565938205 1.091490297559163 7004.676898760044423 1.087840164695291 7007.012180251592326 1.083517675827773 7009.348240300056204 1.081733283818983 7011.685079164990384 1.088501829139146 7014.022697106059240 1.100608095198178 7016.361094382990814 1.108918615125426 7018.700271255606822 1.111233925487418 7021.040227983808109 1.111284129308760 7023.380964827604657 1.113572123041663 7025.722482047071935 1.115589399281913 7028.064779902377268 1.115749642506350 7030.407858653768926 1.116592637215982 7032.751718561604321 1.116303837830108 7035.096359886304526 1.112812780972554 7037.441782888385205 1.111007501415306 7039.787987828442056 1.112967199369690 7042.134974967178096 1.116826822539969 7044.482744565363646 1.122920201878258 7046.831296883860887 1.129203790365040 7049.180632183613852 1.130524310350068 7051.530750725672988 1.126429427889227 7053.881652771156951 1.121144775009881 7056.233338581275348 1.120183099198646 7058.585808417321459 1.124920500003992 7060.939062540693158 1.132328854367534 7063.293101212857437 1.138105912542635 7065.647924695373149 1.139831196174707 7068.003533249881002 1.139056804870564 7070.359927138128114 1.142060799690958 7072.717106621930725 1.152469878194057 7075.075071963197843 1.163262288915982 7077.433823423923968 1.168298889443223 7079.793361266185457 1.166355589262974 7082.153685752168712 1.159395022243631 7084.514797144123804 1.151569020818892 7086.876695704398117 1.148890829108679 7089.239381695415432 1.157020447758502 7091.602855379712310 1.174204731649068 7093.967117019889884 1.184899139919653 7096.332166878642965 1.187896780239263 7098.698005218747312 1.193528394427889 7101.064632303089638 1.206758218341739 7103.432048394620324 1.222302023644561 7105.800253756386155 1.227362504084607 7108.169248651513044 1.223550119490689 7110.539033343238771 1.213607854668314 7112.909608094863870 1.194641296601847 7115.280973169785284 1.175225064318639 7117.653128831482718 1.162916612387709 7120.026075343541379 1.153010633051839 7122.399812969616505 1.140666621090472 7124.774341973456103 1.128747449165374 7127.149662618889124 1.128924113565527 7129.525775169854569 1.139072816555759 7131.902679890357831 1.146859450628912 7134.280377044499801 1.150771008325772 7136.658866896461404 1.154939276270855 7139.038149710533617 1.163298341149824 7141.418225751074715 1.176521375150765 7143.799095282536655 1.190503556215409 7146.180758569454156 1.197986047072297 7148.563215876471077 1.197504681470894 7150.946467468295850 1.193605784130528 7153.330513609736045 1.188433408767832 7155.715354565685629 1.183194248843013 7158.100990601118610 1.180627834750617 7160.487421981120860 1.183527624838519 7162.874648970843737 1.193001064230738 7165.262671835535002 1.204968104809919 7167.651490840524275 1.214950387343637 7170.041106251248493 1.221907810563774 7172.431518333213717 1.229897893795841 7174.822727352022412 1.245708145192972 7177.214733573356170 1.269741557742460 7179.607537263008453 1.292043852515454 7182.001138686839113 1.306038237897145 7184.395538110803500 1.312856863778610 7186.790735800938819 1.314736260999836 7189.186732023392324 1.309338804150473 7191.583527044379480 1.307768341017863 7193.981121130211250 1.313171672857980 7196.379514547277722 1.320859053137729 7198.778707562082673 1.325277897715699 7201.178700441196270 1.323633500442265 7203.579493451283270 1.323116279002428 7205.981086859093011 1.328235327360018 7208.383480931482154 1.333450609570532 7210.786675935376479 1.334344665503185 7213.190672137798174 1.333394263735781 7215.595469805849461 1.336780640208445 7218.001069206746251 1.338814994036839 7220.407470607769028 1.336647484841907 7222.814674276295591 1.332972139919847 7225.222680479793780 1.333853695030238 7227.631489485812381 1.336823881949768 7230.041101562010226 1.334436693552551 7232.451516976117091 1.331399139578307 7234.862735995954608 1.336884436017501 7237.274758889429904 1.350062133725679 7239.687585924559244 1.362893781678400 7242.101217369428014 1.375990431026415 7244.515653492218007 1.384732481771426 7246.930894561191053 1.389614325909137 7249.346940844723576 1.391121022447299 7251.763792611255667 1.388994270184184 7254.181450129328368 1.383713668053305 7256.599913667562760 1.380354006656666 7259.019183494690878 1.382351859385813 7261.439259879513884 1.385920377908374 7263.860143090928432 1.384044163823958 7266.281833397913942 1.373425912887623 7268.704331069563523 1.362959002369814 7271.127636375034854 1.353968484159875 7273.551749583584751 1.346483826407398 7275.976670964550067 1.344631844354748 7278.402400787383158 1.346926013073152 7280.828939321602775 1.342625605794437 7283.256286836822255 1.329104860969380 7285.684443602739520 1.312810364612628 7288.113409889166178 1.301024500179123 7290.543185965979319 1.294188465952915 7292.973772103154261 1.289444244121449 7295.405168570748174 1.289059297978762 7297.837375638931007 1.283342465527298 7300.270393577940922 1.262425104806616 7302.704222658113395 1.233574148157405 7305.138863149873032 1.209456464858762 7307.574315323729934 1.194142464235439 7310.010579450302430 1.182194806991439 7312.447655800280700 1.174249145231359 7314.885544644450420 1.172377103708221 7317.324246253680030 1.167767110807762 7319.763760898952569 1.160480658885129 7322.204088851317465 1.166037924575146 7324.645230381921465 1.185934782272348 7327.087185761995897 1.209511995477419 7329.529955262883050 1.225913145059261 7331.973539155996150 1.234950397691002 7334.417937712842104 1.243462267558757 7336.863151205016038 1.246787116848497 7339.309179904220400 1.242894693068794 7341.756024082231306 1.236874787549581 7344.203684010917641 1.225654929515293 7346.652159962236510 1.208346166789598 7349.101452208255068 1.190434647343317 7351.551561021108682 1.176129818680463 7354.002486673032763 1.164621890410442 7356.454229436343667 1.152973108276817 7358.906789583473255 1.141916663984247 7361.360167386920693 1.135299358936101 7363.814363119282461 1.131098244773795 7366.269377053240532 1.125849284215856 7368.725209461588747 1.120312132835214 7371.181860617190978 1.115383275179829 7373.639330793006593 1.111138663942282 7376.097620262081364 1.108020206354254 7378.556729297573838 1.106086848974154 7381.016658172709867 1.102037942936915 7383.477407160816256 1.092175005909930 7385.938976535308029 1.079007365682135 7388.401366569686616 1.069736971232985 7390.864577537565310 1.066401422761829 7393.328609712627440 1.062731290095442 7395.793463368653647 1.053595721474137 7398.259138779509158 1.041792471083038 7400.725636219171975 1.032388038366105 7403.192955961691951 1.024735027749943 7405.661098281214436 1.017726373477935 7408.130063451970273 1.011732195890485 7410.599851748303990 1.006639281727855 7413.070463444628331 0.999982567805683 7415.541898815456079 0.991144129821412 7418.014158135384605 0.982205502540576 7420.487241679123144 0.976493104326106 7422.961149721451875 0.971406177970654 7425.435882537249199 0.961799214332161 7427.911440401478103 0.949841772512647 7430.387823589216168 0.939461786296647 7432.865032375608280 0.931671630313604 7435.343067035900276 0.922315864403473 7437.821927845422579 0.909272236989686 7440.301615079618387 0.896957682649406 7442.782129014001839 0.887205949815337 7445.263469924184392 0.875063611335937 7447.745638085863902 0.857365221467038 7450.228633774851914 0.840728604096966 7452.712457267029095 0.832322746590444 7455.197108838375243 0.826297132331166 7457.682588764963839 0.819144130426843 7460.168897322952034 0.816506665824755 7462.656034788609759 0.819559368185300 7465.144001438279702 0.823588829266004 7467.632797548400958 0.825902175688656 7470.122423395500846 0.828961384473145 7472.612879256217639 0.835947797186735 7475.104165407263281 0.842195216757095 7477.596282125445214 0.843132314443517 7480.089229687659099 0.844868417798562 7482.583008370913376 0.847266689875556 7485.077618452287425 0.849107923729835 7487.573060208959760 0.851081606540257 7490.069333918195298 0.855224273446567 7492.566439857371734 0.858485602892352 7495.064378303937701 0.854790044101775 7497.563149535442790 0.849496722093625 7500.062753829520261 0.844716814136677 7502.563191463918884 0.839516583162788 7505.064462716457456 0.831971471950678 7507.566567865054822 0.821999264614471 7510.069507187716226 0.808829022267857 7512.573280962559693 0.792726889107609 7515.077889467776004 0.775896968650948 7517.583332981654166 0.765908566206589 7520.089611782569591 0.758646253693516 7522.596726149012284 0.745153499468087 7525.104676359544101 0.730506504207116 7527.613462692825124 0.723817128822544 7530.123085427601836 0.720226158625050 7532.633544842737138 0.714845251211270 7535.144841217163048 0.708378899647822 7537.656974829912542 0.700889218856241 7540.169945960111363 0.692087915693027 7542.683754886969837 0.683379561346520 7545.198401889818342 0.678492230139195 7547.713887248050924 0.676973618795020 7550.230211241168945 0.669180608805803 7552.747374148753806 0.656220974836329 7555.265376250507870 0.652481878666431 7557.784217826199892 0.652311585224011 7560.303899155701401 0.653193968356229 7562.824420518969418 0.654958911630250 7565.345782196078289 0.660291517776821 7567.867984467170572 0.674064650762235 7570.391027612490689 0.692445446979283 7572.914911912369462 0.712674416773501 7575.439637647254131 0.734593863503202 7577.965205097661965 0.751487039336682 7580.491614544212098 0.765067255927746 7583.018866267607336 0.781310500476336 7585.546960548670540 0.799530463126278 7588.075897668291873 0.811881849695091 7590.605677907466088 0.812409338639339 7593.136301547270705 0.804474521221915 7595.667768868903295 0.797732078537679 7598.200080153627823 0.795993108801712 7600.733235682813756 0.797150025953367 7603.267235737915144 0.793182338865320 7605.802080600502450 0.780528736730774 7608.337770552217989 0.767747043849027 7610.874305874805032 0.759070095390783 7613.411686850092337 0.758554777716971 7615.949913760026902 0.766890032514835 7618.488986886626662 0.778153884949500 7621.028906512010508 0.782214959519689 7623.569672918391916 0.775473891051290 7626.111286388069857 0.770119311295166 7628.653747203462444 0.780961420567923 7631.197055647056914 0.803299737278932 7633.741212001443273 0.828634573055128 7636.286216549297933 0.857950329144583 7638.832069573414628 0.888392940268044 7641.378771356657126 0.912127839726567 7643.926322181993783 0.929518644882913 7646.474722332477540 0.946772419034550 7649.023972091278665 0.964180394921225 7651.574071741641092 0.975768926614972 7654.125021566907890 0.981464194666495 7656.676821850510350 0.987413972129486 7659.229472875997089 0.994958267693295 7661.782974926989482 0.996733303387901 7664.337328287208948 0.990990248580712 7666.892533240465127 0.985562739924097 7669.448590070684986 0.987870183635971 7672.005499061867340 1.001728612059497 7674.563260498112868 1.022387879337609 7677.121874663609560 1.041317426871290 7679.681341842663642 1.053150048577325 7682.241662319653187 1.061653940663412 7684.802836379056316 1.076783320433782 7687.364864305442097 1.097764743213276 7689.927746383495105 1.118977343497761 7692.491482897972674 1.134277064033852 7695.056074133733091 1.140876041220546 7697.621520375732871 1.140512257166763 7700.187821909012200 1.138840585552247 7702.754979018732229 1.134336737737408 7705.322991990124137 1.126138867699759 7707.891861108523699 1.112415843853789 7710.461586659352179 1.098372505088354 7713.032168928149986 1.085313221125176 7715.603608200530289 1.070854010437170 7718.175904762208120 1.055062062094814 7720.749058898986732 1.042689500146625 7723.323070896788522 1.043475341584735 7725.897941041605009 1.063874196888090 7728.473669619534121 1.083700499608828 7731.050256916761100 1.088270648337758 7733.627703219586692 1.083393257507673 7736.206008814388042 1.086926027751108 7738.785173987642338 1.094018495752864 7741.365199025915899 1.098296346074932 7743.946084215894189 1.101501579406091 7746.527829844334519 1.093991163653725 7749.110436198096977 1.066730956380345 7751.693903564130778 1.032637640457377 7754.278232229502464 1.007563296851886 7756.863422481353155 0.986971268814583 7759.449474606924923 0.960091405207477 7762.036388893548974 0.943672804621023 7764.624165628676565 0.953886597982159 7767.212805099831712 0.971628252714990 7769.802307594638478 0.986181318271474 7772.392673400813692 0.993694246795651 7774.983902806190599 1.000059518269043 7777.575996098676114 1.014104464665184 7780.168953566279924 1.039529591665937 7782.762775497109033 1.066727892878211