SN 1984A Ia in NGC 4419 (Sa) in the Virgo cluster


Geoffrey Chaucer with an astrolabe.


OBJ:   SN 1984A Ia in NGC 4419 (Sa) in the Virgo cluster.  In Leda it is
          NGC 4419 (Leda).
DISCOVERY: 1984jan6 UT by Kimeridze (1984)
          CfA List of Supernovae.
MAX:  1984jan17.0 +/- 1 (JD 2445716.5) in B according to {barbon1989}.
           See the US Navy Observatory Julian Date Converter.
           This day of the year 17.
SUPERNOVA of the YEAR:  1.

SPECTROSCOPY LOG:

         Spectrum               Date                  Phase relative to Bmax        Wavelength Range
         {wegner1987}           jan10                 -7.                           3.2408e+03--6.6992e+03 (observed)
         {barbon1989}           jan11                 -6.                           3905.--6798. (observed)

REF:
       citet{barbon1989} Photometry and spectra.

       citet{branch1987} A synow analysis of the day -7 premax
         spectrum of Wegner & McMahan.

       citet{conley2006} General value
         of 19.4 days for Ia rise time in B.

       citet{wegner1987} A day -7 spectrum.

       SUSPECT Index.

       SUSPECT Index:  SN 1984A Ia.
            A dead link.

HEADER: Header Common header information for this supernovae.
        The common header may (or may not) be updated relative to the header information above
        (D. J. Jeffery (2007jan01)).

COR:  not deredshifted ??? (heliocentric velocity -271 +/- 11 km/s and
          NGC 4419 (Leda).
     I'll trust Leda just for consistency.
      not dereddened ??? (Galactic foreground .14/4=.035
          NGC 4419 (Leda).
     Schlegel et al. (1998).
      not smoothed ????, not photometric ????
      Derived maximum in some band is  (see above).

COMMENT:

OBS:

Date: 1984jan11 (JD ) with 1984jan17.0 (JD 2445716.5) for B maximum gives:
      day =  11 - 17 = -6

      For consistency we always use rest phase and for explicitness to more digits than are significant.

      observer phase = -5.9500000000    assuming the earlier jan11 spectrum:  there's not much difference.
      rest phase =     -5.9555027210


&specnamelist aname='sn1984a Ia 1984_01_11' ebv=.035 ! This is foreground. epoch=-5.9555027210 ! This parameter needs to updated for the particular spectrum. idifmake=0 iformat=1 ! This has to be checked for every spectrum. itick=2 itickln=4 scale_flux=1.d-14 t_rise=19.4d0 ! From {conley2006} v_helio=-277. ymin2=8.e-15 ymax2=8.e-14 ymin3=.35 ymax3=2.1 wlammin1=3905. wlammax1=6798. wlammin2=3905. wlammax2=6798. wlammin3=4100. wlammax3=6600. /
./figure/sn1984a_1984_01_11.gif Postscript plot of the spectrum.
./figure/sn1984a_1984_01_11.dif.gif Postscript plot of the spectrum with local normalization.
Information from somewhere. FITS: Fits format information from the observers if there is any. jan11.04 or .18 or .21 OBJ: peculiarly fast Type Ia SN 1984A in NGC 4419 DATE: Assuming 18 days for the rise time to B maximum, this is day 12 after the explosion OBS: ESO observers REP: F_lambda (10**14 erg/s/AA/cm**2) vs. lambda (ang) COR: not deredshifted, not dereddened. REF: Barbon et al. 1989, A&A, 220, 83; Branch, D. 1987, ApJ, 316, L81; Wegner, G., \&~McMahan, R. K. 1987, AJ, 93, 287 OMITTED points 3901. -45.76371 3902. -21.02003 3903. -10.15677 3904. -2.852268 END: 3908.855894271644502 0.825855480626898 3910.159063419190261 0.829988947646130 3911.462667028862143 0.833099669823598 3912.766705245500816 0.835456714443086 3914.071178214000156 0.837619959729913 3915.376086079296783 0.858080570798176 3916.681428986388710 0.866934472704121 3917.987207080310327 0.870588744901774 3919.293420506147868 0.884144233503277 3920.600069409032130 0.910061169748411 3921.907153934154394 0.947905549122748 3923.214674226741863 0.992130773120919 3924.522630432075402 1.039706394688976 3925.831022695479078 1.083511681145107 3927.139851162337436 1.119447049591427 3928.449115978072314 1.144226424269227 3929.758817288157388 1.154521555023454 3931.068955238115450 1.150408569788823 3932.379529973512490 1.133206985437935 3933.690541639976800 1.107411954854806 3935.001990383171687 1.077498130904981 3936.313876348814574 1.048524006276631 3937.626199682665629 1.024335954293542 3938.938960530546865 1.004954822021373 3940.252159038316677 0.990209714337572 3941.565795351886209 0.979517949095634 3942.879869617210261 0.973888918022723 3944.194381980306389 0.973826944158842 3945.509332587226254 0.977546356135700 3946.824721584076542 0.983151635137533 3948.140549117006685 0.985784719076168 3949.456815332227961 0.982090724929677 3950.773520375988937 0.971341488159815 3952.090664394589112 0.954112691738946 3953.408247534374368 0.934624161999617 3954.726269941750616 0.914230391928372 3956.044731763161053 0.891410938117980 3957.363633145101630 0.863510494881064 3958.682974234111953 0.827462578650043 3960.002755176794835 0.783174123790827 3961.322976119787654 0.737946149269877 3962.643637209781900 0.699512300275466 3963.964738593513630 0.677417774079342 3965.286280417779835 0.669984014425465 3966.608262829414798 0.673164184890281 3967.930685975305096 0.682261847620866 3969.253550002383236 0.694712888606943 3970.576855057641296 0.712712161009869 3971.900601288109556 0.739807639106859 3973.224788840871042 0.773945240515992 3974.549417863057442 0.809599542790450 3975.874488501846372 0.840239319008384 3977.200000904475019 0.862495704090613 3978.525955218219224 0.876444387287527 3979.852351590406670 0.881519055179322 3981.179190168411424 0.878152103984127 3982.506471099667124 0.868671576131270 3983.834194531646517 0.857484945530387 3985.162360611873282 0.851988506218454 3986.490969487918392 0.856296205315638 3987.820021307412389 0.871555551756853 3989.149516218024473 0.894921904921201 3990.479454367475228 0.922912366176219 3991.809835903532530 0.956459146131286 3993.140660974023831 0.998177406128114 3994.471929726815233 1.048128643287802 3995.803642309824681 1.104435981296407 3997.135798871016959 1.161792343453547 3998.468399558417332 1.215682777087066 3999.801444520088353 1.264778876717036 4001.134933904146237 1.311168268230318 4002.468867858752674 1.359069425915059 4003.803246532129833 1.411183125096508 4005.138070072538994 1.467013235308406 4006.473338628293277 1.523347015132651 4007.809052347751731 1.575646326166857 4009.145211379335251 1.619955828668308 4010.481815871502022 1.655694444826942 4011.818865972763888 1.683973513139169 4013.156361831681352 1.706601931928608 4014.494303596861300 1.726511776966183 4015.832691416972011 1.745402856348595 4017.171525440719506 1.764118929139451 4018.510805816862558 1.783467814966679 4019.850532694206322 1.804774019155036 4021.190706221617802 1.829253770958612 4022.531326548000379 1.857678796188008 4023.872393822312461 1.889045105203123 4025.213908193557472 1.917851685249987 4026.555869810800232 1.939145096815440 4027.898278823143755 1.945802040261617 4029.241135379744719 1.936809968622859 4030.584439629805274 1.915547894204363 4031.928191722589418 1.886837646197012 4033.272391807399345 1.853128033802974 4034.617040033590001 1.815261021245189 4035.962136550562718 1.773660083639024 4037.307681507781581 1.731333515170927 4038.653675054746600 1.693389871114561 4040.000117341013265 1.664839963996653 4041.347008516181631 1.644676027792379 4042.694348729914964 1.629800262863284 4044.042138131913362 1.615414827219885 4045.390376871931494 1.599673098268473 4046.739065099769050 1.580381238862395 4048.088202965288929 1.556416963636207 4049.437790618390864 1.529096453674614 4050.787828209029612 1.499138397051334 4052.138315887204499 1.471637790472777 4053.489253802978510 1.450069988237334 4054.840642106451469 1.438843858221566 4056.192480947778222 1.441775450070920 4057.544770477161819 1.457027217495814 4058.897510844853969 1.485639035450565 4060.250702201166405 1.525815684029706 4061.604344696449971 1.573507117097814 4062.958438481109170 1.624519408250233 4064.312983705594888 1.671891540701732 4065.667980520420770 1.711119158092407 4067.023429076137290 1.736484460648328 4068.379329523350407 1.750096241210342 4069.735682012711095 1.756187120394607 4071.092486694933541 1.757297040415517 4072.449743720770130 1.756739340848103 4073.807453241026906 1.751723939353867 4075.165615406555844 1.737695906225425 4076.524230368273038 1.714001080439715 4077.883298277130962 1.679329841046836 4079.242819284137113 1.635300696355456 4080.602793540345829 1.583038327062542 4081.963221196873292 1.522548244187889 4083.324102404873884 1.456959483652696 4084.685437315556555 1.391587281724885 4086.047226080177097 1.336004176360051 4087.409468850052690 1.296007416574290 4088.772165776540987 1.274554297613789 4090.135317011051484 1.275959334591326 4091.498922705041423 1.293639304338216 4092.862983010031712 1.323513696939297 4094.227498077579185 1.358500930665225 4095.592468059297971 1.391165280153836 4096.957893106846313 1.416606426884655 4098.323773371947027 1.432986543706894 4099.690109006359307 1.442600960340349 4101.056900161899648 1.444940389859218 4102.424146990432746 1.441138533221023 4103.791849643871501 1.718498340273234 4105.160008274190659 1.697582733556534 4106.528623033404074 1.675505091094895 4107.897694073580169 1.653003766534284 4109.267221546832843 1.628410911166813 4110.637205605340569 1.597457517135460 4112.007646401320017 1.564678923328916 4113.378544087042428 1.531739558518441 4114.749898814825428 1.502463816068484 4116.121710737049398 1.481777711780455 4117.493980006134734 1.468462698355920 4118.866706774555496 1.465254518633005 4120.239891194832126 1.472564927515636 4121.613533419550549 1.486759151585227 4122.987633601332163 1.504546809743099 4124.362191892854753 1.518971566517858 4125.737208446842487 1.528156265392148 4127.112683416085019 1.524434662942091 4128.488616953407472 1.508609823031739 4129.865009211691358 1.483094293551912 4131.241860343865483 1.449189223308222 4132.619170502922316 1.415848958137259 4133.996939841889798 1.383663805163118 4135.375168513855897 1.354589312020706 4136.753856671951326 1.329228024463226 4138.133004469372281 1.306166642808808 4139.512612059354069 1.289454893371947 4140.892679595185655 1.276570867945043 4142.273207230208754 1.267946610851707 4143.654195117809650 1.260642236037267 4145.035643411441015 1.259325484594490 4146.417552264592814 1.262315153547446 4147.799921830809581 1.267886833543350 4149.182752263684961 1.274463115263663 4150.566043716874447 1.277245911974502 4151.949796344072638 1.277235266797079 4153.334010299031434 1.270177622645975 4154.718685735546387 1.253670486612719 4156.103822807478537 1.224685529488678 4157.489421668729847 1.183180526104862 4158.875482473254124 1.134836886481481 4160.262005375053377 1.084109860114785 4161.648990528196009 1.035599666340464 4163.036438086785893 0.993086227592458 4164.424348204985108 0.957337720215895 4165.812721037000301 0.929578783262812 4167.201556737103601 0.912564154229691 4168.590855459607155 0.904569039874815 4169.980617358876771 0.904997460832570 4171.370842589325548 0.909899297440557 4172.761531305432072 0.916466518190331 4174.152683661713127 0.918017494408204 4175.544299812741883 0.912753140512536 4176.936379913136079 0.901102697961778 4178.328924117581664 0.882935338182775 4179.721932580800967 0.861906407195203 4181.115405457572706 0.835431357599567 4182.509342902722892 0.803748822825701 4183.903745071141202 0.768328297222086 4185.298612117758239 0.736515525332944 4186.693944197559176 0.711473477203678 4188.089741465580119 0.696312902253316 4189.486004076905374 0.690052994548423 4190.882732186684734 0.688923597005641 4192.279925950104371 0.693264766975624 4193.677585522409572 0.699257676891743 4195.075711058891102 0.704147797185535 4196.474302714904297 0.703992290682719 4197.873360645844514 0.695489630191207 4199.272885007162586 0.677280386530366 4200.672875954356641 0.652263145666124 4202.073333642990292 0.623114461367869 4203.474258228665349 0.592859341653875 4204.875649867039101 0.571143896185680 4206.277508713819770 0.546429517675953 4207.679834924775605 0.525638057984356 4209.082628655718509 0.512206002531733 4210.485890062512226 0.507512340217229 4211.889619301072344 0.510058390379223 4213.293816527376293 0.517630786773085 4214.698481897441525 0.525640227479417 4216.103615567342786 0.531853666737108 4217.509217693202118 0.535354960465458 4218.915288431204317 0.536583635590106 4220.321827937576927 0.534645076182220 4221.728836368601151 0.529457484288021 4223.136313880607304 0.520877597407700 4224.544260629990276 0.510537344926347 4225.952676773184066 0.500971255571134 4227.361562466679970 0.493667600101281 4228.770917867020216 0.488062324172176 4230.180743130796145 0.482629082598367 4231.591038414662762 0.475731681018049 4233.001803875316000 0.467245320266610 4234.413039669508180 0.457552704223476 4235.824745954037098 0.447507951776181 4237.236922885768763 0.436702835766524 4238.649570621608291 0.424312362766874 4240.062689318514458 0.410146202086114 4241.476279133497883 0.395321135486035 4242.890340223631938 0.382175864351739 4244.304872746030014 0.373572508609438 4245.719876857863710 0.369501140661999 4247.135352716350098 0.369464925368602 4248.551300478772646 0.371654773918710 4249.967720302455746 0.374830388460224 4251.384612344778361 0.378971028962091 4252.801976763169478 0.384338253733037 4254.219813715121745 0.390636496574618 4255.638123358169651 0.396744401128172 4257.056905849901341 0.401635759044690 4258.476161347956804 0.405121164722325 4259.895890010038784 0.408613599803353 4261.316091993890041 0.414095085209950 4262.736767457312453 0.422557287520036 4264.157916558152465 0.434294046034432 4265.579539454325641 0.448372631059828 4267.001636303785745 0.463026166334582 4268.424207264542929 0.476640514532862 4269.847252494656459 0.488454399486537 4271.270772152251084 0.497875063416308 4272.694766395491570 0.505667798437786 4274.119235382599982 0.512400811200412 4275.544179271849316 0.518587871045481 4276.969598221563501 0.524433837622706 4278.395492390130130 0.529713910743392 4279.821861935978632 0.534525741134618 4281.248707017593915 0.539022183714447 4282.676027793509093 0.543879448555228 4284.103824422326397 0.550114001956390 4285.532097062683533 0.558922561982649 4286.960845873278231 0.570475875053396 4288.390071012855515 0.584902567184266 4289.819772640227711 0.600537796522606 4291.249950914245346 0.616057246540568 4292.680605993817153 0.630219176402854 4294.111738037900977 0.642274505365756 4295.543347205521059 0.651978482139792 4296.975433655738925 0.660172103794022 4298.407997547676132 0.667578474960764 4299.841039040501528 0.674846148620294 4301.274558293451264 0.681962862672603 4302.708555465801510 0.688724933831999 4304.143030716883914 0.695089849145249 4305.577984206081055 0.701219823205675 4307.013416092840998 0.707552643722996 4308.449326536651824 0.714553142511222 4309.885715697058913 0.722142468031466 4311.322583733655847 0.729909370054663 4312.759930806104421 0.737097892518189 4314.197757074106448 0.743825178600336 4315.636062697418311 0.751396936772268 4317.074847835848232 0.761742744642095 4318.514112649269919 0.777014862342691 4319.953857297598006 0.796337893876671 4321.394081940803517 0.818860162888712 4322.834786738911134 0.842188585455352 4324.275971851995564 0.865368759095083 4325.717637440196995 0.888635106363865 4327.159783663694725 0.912231195386538 4328.602410682729897 0.935090375313259 4330.045518657587309 0.954461656541100 4331.489107748622700 0.966101004913198 4332.933178116230920 0.970159395234174 4334.377729920862294 0.968216152461530 4335.822763323019899 0.965532330251535 4337.268278483270478 0.966472954074117 4338.714275562223520 0.972896003259328 4340.160754720545810 0.984299134190375 4341.607716118950520 0.999957603027359 4343.055159918222671 1.018685207094334 4344.503086279182753 1.040778354266162 4345.951495362713104 1.064656381137229 4347.400387329743353 1.088795973994802 4348.849762341269525 1.111172164837994 4350.299620558328570 1.130113735545280 4351.749962142017466 1.145269013802471 4353.200787253479575 1.156348689326806 4354.652096053927380 1.163271911248592 4356.103888704612473 1.166704271465266 4357.556165366844652 1.167654745249469 4359.008926201984650 1.168555791510913 4360.462171371458680 1.172138366906509 4361.915901036734795 1.179249185975649 4363.370115359336523 1.189738855784183 4364.824814500844695 1.201327836786546 4366.279998622888343 1.211379877370995 4367.735667887162890 1.218765528010100 4369.191822455404690 1.223985483834894 4370.648462489409212 1.228205307859296 4372.105588151020129 1.232115513413802 4373.563199602150235 1.235422840907511 4375.021297004752341 1.237832245566576 4376.479880520835650 1.239455718918334 4377.938950312460292 1.241772718627138 4379.398506541756433 1.246580659864721 4380.858549370890614 1.254763083288067 4382.319078962090316 1.266602317084422 4383.780095477632130 1.281368221626516 4385.241599079860862 1.298721204466387 4386.703589931160423 1.318519208995592 4388.166068193973842 1.340618374731350 4389.629034030795083 1.364685030240765 4391.092487604185408 1.389420054705524 4392.556429076744280 1.412845283350860 4394.020858611133917 1.433509509620793 4395.485776370063832 1.448848855543676 4396.951182516310837 1.458755233367913 4398.417077212693584 1.462859982623265 4399.883460622088933 1.463509783833113 4401.350332907425582 1.463697063460276 4402.817694231695896 1.466172148783037 4404.285544757937714 1.472248393403498 4405.753884649244355 1.481508722324645 4407.222714068760069 1.492928259036721 4408.692033179698228 1.507437566415958 4410.161842145310402 1.527393522245661 4411.632141128910007 1.557249772099438 4413.102930293863210 1.596811370710843 4414.574209803586200 1.645646872491075 4416.045979821564288 1.697510235372341 4417.518240511321892 1.747057739867560 4418.990992036444368 1.791409992619349 4420.464234560566183 1.828916624787045 4421.937968247389108 1.861243923318626 4423.412193260658569 1.888268364182097 4424.886909764175471 1.909299010933803 4426.362117921793470 1.921955817529075 4427.837817897434434 1.925971272092635 4429.314009855059339 1.923830259098091 4430.790693958689189 1.920285365879292 4432.267870372396828 1.920467182997603 4433.745539260321493 1.927590976755823 4435.223700786643349 1.941415176088361 4436.702355115603496 1.961146417944041 4438.181502411492147 1.984187917865671 4439.661142838667729 2.009077418891827 4441.141276561530503 2.033408154746217 4442.621903744539850 2.054117079764913 4444.103024552205170 2.069513911324200 4445.584639149104987 2.077174298026189 4447.066747699857842 2.079017608241881 4448.549350369142303 2.075773540030075 4450.032447321687869 2.069905176916366 4451.516038722293160 2.061710599525473 4453.000124735795907 2.051867316118445 4454.484705527094775 2.040215974695251 4455.969781261138451 2.027527798151335 4457.455352102944744 2.014598140423979 4458.941418217572391 2.002034811636810 4460.427979770141064 1.990113815601832 4461.915036925822278 1.978660803808104 4463.402589849841206 1.968053543791210 4464.890638707490325 1.959092980652776 4466.379183664103948 1.953268461355488 4467.868224885075506 1.951429032494313 4469.357762535850270 1.954138220245018 4470.847796781940815 1.961766333652982 4472.338327788902461 1.974288512668872 4473.829355722349646 1.990498208122960 4475.320880747947740 2.007296641525907 4476.812903031430324 2.021368593397050 4478.305422738573725 2.030457368576670 4479.798440035212479 2.033877523483139 4481.291955087233873 2.032151607807487 4482.785968060593405 2.024874625941410 4484.280479121286589 2.012025518746099 4485.775488435370789 1.992612403811121 4487.270996168954298 1.968712245750265 4488.767002488212711 1.943399944172911 4490.263507559365280 1.921388153295771 4491.760511548690374 1.906629203227649 4493.258014622516384 1.899147971495559 4494.756016947241733 1.898077345616000 4496.254518689307588 1.900630032606050 4497.753520015212416 1.905756537053056 4499.253021091509254 1.912254932498858 4500.753022084817530 1.919353778471688 4502.253523161799421 1.926096745425754 4503.754524489178038 1.932029167940243 4505.256026233730154 1.937843436959075 4506.758028562285290 1.945108124790138 4508.260531641741181 1.955081705912639 4509.763535639039219 1.968716128372298 4511.267040721179001 1.984923138119387 4512.771047055211966 2.002886301241071 4514.275554808260495 2.021527490854987 4515.780564147485165 2.040354216438204 4517.286075240111131 2.058500086382150 4518.792088253411748 2.074234221346642 4520.298603354732222 2.086001619953040 4521.805620711456868 2.091710004616433 4523.313140491032755 2.091353965982305 4524.821162860958793 2.084951831670353 4526.329687988800288 2.075295456786950 4527.838716042167107 2.065584708658745 4529.348247188730056 2.058722909069399 4530.858281596208144 2.055401523955315 4532.368819432394957 2.052779233595775 4533.879860865120463 2.046997897275892 4535.391406062281021 2.035798989879497 4536.903455191819376 2.019448929279494 4538.416008421751030 2.000677302320147 4539.929065920132416 1.981492748103815 4541.442627855081810 1.962300124948317 4542.956694394767510 1.941899644821726 4544.471265707428756 1.918966704275916 4545.986341961345715 1.893737861033101 4547.501923324861309 1.868083361843110 4549.018009966368481 1.844036171779142 4550.534602054330207 1.822447121544122 4552.051699757253118 1.802046734044751 4553.569303243702961 1.780619491763824 4555.087412682301874 1.757153332967047 4556.606028241723834 1.732445453737571 4558.125150090714669 1.709006431199580 4559.644778398060225 1.689685777904248 4561.164913332607284 1.674327586512119 4562.685555063256288 1.661351332147983 4564.206703758976801 1.647787226594842 4565.728359588779313 1.632227163537647 4567.250522721738889 1.616298710695389 4568.773193326977889 1.602782163056736 4570.296371573692340 1.592186951031082 4571.820057631119198 1.582856597015948 4573.344251668557263 1.571354460442457 4574.868953855356267 1.555713152853451 4576.394164360937793 1.537536208469700 4577.919883354765261 1.519484822402906 4579.446111006361207 1.503615109480735 4580.972847485303646 1.489715020902315 4582.500092961237897 1.475360258911222 4584.027847603853843 1.458104806891356 4585.556111582902304 1.437133287780094 4587.084885068185031 1.414414542695253 4588.614168229575625 1.393707226667285 4590.143961236989526 1.377780260893408 4591.674264260404016 1.368810967088854 4593.205077469848220 1.365579327742025 4594.736401035421295 1.367458186850151 4596.268235127266053 1.371802799771547 4597.800579915586241 1.376887433105593 4599.333435570641996 1.380999907879861 4600.866802262746205 1.382696139150736 4602.400680162281787 1.381294875349102 4603.935069439676226 1.375547293594689 4605.469970265416123 1.365062003512862 4607.005382810041738 1.349352629043507 4608.541307244163363 1.329081739607006 4610.077743738435856 1.305736558329867 4611.614692463572283 1.281300184685758 4613.152153590342095 1.257594302289338 4614.690127289582961 1.235732359891123 4616.228613732176200 1.215919449899903 4617.767613089064071 1.199125300379991 4619.307125531242491 1.185366281884383 4620.847151229777410 1.174862889112090 4622.387690355778432 1.165378397260177 4623.928743080417007 1.154422676343712 4625.470309574915518 1.140381739660813 4627.012390010569106 1.123389377214722 4628.554984558714750 1.105203241479355 4630.098093390753093 1.086931288526413 4631.641716678134799 1.068011130628589 4633.185854592383293 1.047636049332026 4634.730507305064748 1.026575275431718 4636.275674987808088 1.007748907161071 4637.821357812292263 0.995411496996696 4639.367555950270798 0.989236064932287 4640.914269573537240 0.987776160262372 4642.461498853950616 0.987002858577771 4644.009243963419067 0.984765207530226 4645.557505073923494 0.981062592514087 4647.106282357489363 0.976693367003598 4648.655575986203075 0.971869028289860 4650.205386132207423 0.965962992809601 4651.755712967698855 0.958566815375178 4653.306556664945674 0.950764789286128 4654.857917396258927 0.944859062929325 4656.409795334012415 0.942028380901871 4657.962190650632692 0.942902708793443 4659.515103518616343 0.945754442325628 4661.068534110505425 0.948570248754320 4662.622482598902934 0.949475719295008 4664.176949156465525 0.948288099433872 4665.731933955920795 0.945908040420679 4667.287437170039993 0.943207714275762 4668.843458971657128 0.939197824139728 4670.399999533658956 0.932541502500298 4671.957059029003176 0.922448327934839 4673.514637630692050 0.910947260342930 4675.072735511790597 0.900544947210575 4676.631352845414767 0.892613373757672 4678.190489804754179 0.886365905967169 4679.750146563042108 0.879701069988029 4681.310323293572765 0.871930344820030 4682.871020169695839 0.864432416332453 4684.432237364830144 0.859543717945207 4685.993975052440874 0.858506258064845 4687.556233406052343 0.859720922743945 4689.119012599246162 0.860705387782686 4690.682312805673064 0.859480720169965 4692.246134199029257 0.856306674834271 4693.810476953070975 0.852817428595751 4695.375341241609931 0.850703695690410 4696.940727238530599 0.850488914833353 4698.506635117758378 0.850519830655154 4700.073065053284154 0.848278401487329 4701.640017219155197 0.842467183518653 4703.207491789472442 0.833558476743369 4704.775488938410490 0.823061866334225 4706.344008840183960 0.811610230726650 4707.913051669075685 0.798334150492401 4709.482617599416699 0.782898574873100 4711.052706805614434 0.765860853870364 4712.623319462117252 0.749099465415628 4714.194455743438084 0.734054757048143 4715.766115824143526 0.721982681076990 4717.338299878871112 0.713750121609381 4718.911008082303852 0.711786101601078 4720.484240609186600 0.715365718062054 4722.057997634318781 0.723430988684652 4723.632279332570761 0.732719741459370 4725.207085878859289 0.741558816058158 4726.782417448162050 0.749927525146788 4728.358274215510392 0.758642233137455 4729.934656356011146 0.767240611308752 4731.511564044811166 0.773673796851315 4733.088997457123696 0.775666871008158 4734.666956768213822 0.773821566536000 4736.245442153419390 0.770400451691840 4737.824453788123719 0.767805584960899 4739.403991847771977 0.766578810948660 4740.984056507863897 0.766599382853044 4742.564647943971977 0.767406117150393 4744.145766331712366 0.768713007950026 4745.727411846764880 0.769061300442887 4747.309584664868453 0.766149038579105 4748.892284961814767 0.756918984153911 4750.475512913469174 0.741750940339516 4752.059268695740684 0.721904410784418 4753.643552484602878 0.700836631180974 4755.228364456081181 0.679670239705233 4756.813704786277412 0.656751480540757 4758.399573651334322 0.629746242232615 4759.985971227459231 0.597011593270652 4761.572897690914942 0.561849597031558 4763.160353218036107 0.528470917383033 4764.748337985201033 0.500464286044451 4766.336852168852602 0.477985973784607 4767.925895945487355 0.459126189584034 4769.515469491676413 0.441569805328360 4771.105572984033643 0.426145956331455 4772.696206599237485 0.415847444097220 4774.287370514020040 0.413350062205618 4775.879064905186169 0.419628716794312 4777.471289949587117 0.431534584802954 4779.064045824135974 0.445349212575380 4780.657332705801309 0.456677390226056 4782.251150771624452 0.462754459198912 4783.845500198692207 0.462845530014630 4785.440381164153223 0.458742493837156 4787.035793845211629 0.452055927123333 4788.631738419146131 0.444537124889690 4790.228215063279094 0.436677384171312 4791.825223954996545 0.428961463809932 4793.422765271738172 0.422597644224523 4795.020839191019149 0.420479601846704 4796.619445890399220 0.423985192683224 4798.218585547499970 0.433473243059748 4799.818258340003922 0.446169950237088 4801.418464445647260 0.458710253131346 4803.019204042241654 0.468098358296191 4804.620477307641522 0.466504944272156 4806.222284419765856 0.468710154135521 4807.824625556588217 0.468581290862048 4809.427500896156744 0.465976215534632 4811.030910616563233 0.460242555049920 4812.634854895964963 0.452237955527970 4814.239333912573784 0.443602448583218 4815.844347844673393 0.437872480793481 4817.449896870593875 0.437532093278083 4819.055981168730796 0.444174440140371 4820.662600917531563 0.454701738680253 4822.269756295520892 0.466395112146862 4823.877447481265335 0.476991550815470 4825.485674653397837 0.486108063969534 4827.094437990605002 0.494318651191445 4828.703737671648923 0.503087167154201 4830.313573875335351 0.512894201510864 4831.923946780535516 0.522075164126065 4833.534856566173403 0.528194474237697 4835.146303411250301 0.528489819497453 4836.758287494810247 0.525027377779325 4838.370808995962761 0.521487659740564 4839.983868093871024 0.522230686909614 4841.597464967775522 0.527553477532337 4843.211599796958581 0.535961515616665 4844.826272760768916 0.543616189818301 4846.441484038608905 0.547772181158430 4848.057233809957324 0.547421744154856 4849.673522254337513 0.545603370052933 4851.290349551335567 0.545484995926527 4852.907715880599426 0.548609328765095 4854.525621421832511 0.553223590864434 4856.144066354811002 0.556844356042830 4857.763050859357463 0.558470792856749 4859.382575115358122 0.558665672954428 4861.002639302757416 0.559687137189321 4862.623243601569811 0.563645616417989 4864.244388191859798 0.572147331635134 4865.866073253752802 0.583747313660425 4867.488298967431547 0.595189675358856 4869.111065513154244 0.602685088264068 4870.734373071221853 0.605664386295184 4872.358221822003543 0.604608846229469 4873.982611945920326 0.601068060018914 4875.607543623470519 0.596480590915146 4877.233017035197918 0.592012028905854 4878.859032361709069 0.588402790747474 4880.485589783668729 0.586058929227529 4882.112689481815323 0.585602877181162 4883.740331636932751 0.587938464724266 4885.368516429868578 0.594182291880737 4886.997244041529484 0.604243388860837 4888.626514652894002 0.615828144823683 4890.256328444987048 0.626377531099153 4891.886685598899930 0.634183736115561 4893.517586295777619 0.639258680266029 4895.149030716841480 0.641602832294378 4896.781019043358356 0.642117324244593 4898.413551456660571 0.641234742399436 4900.046628138139567 0.639588608625860 4901.680249269244086 0.637931394395935 4903.314415031497447 0.637150944149862 4904.949125606469352 0.638468731092516 4906.584381175793169 0.642826824133880 4908.220181921158655 0.651105320960283 4909.856528024332874 0.661958287462459 4911.493419667126545 0.673765284922330 4913.130857031415871 0.684867104481152 4914.768840299133444 0.694760057714242 4916.407369652289162 0.703349458914609 4918.046445272933852 0.711080167662459 4919.686067343190189 0.718748529412849 4921.326236045230871 0.726863429807574 4922.966951561307724 0.734806252634187 4924.608214073718045 0.741504205005207 4926.250023764823709 0.745910780686381 4927.892380817042977 0.749774221713297 4929.535285412870508 0.754894951788014 4931.178737734846436 0.762392277060404 4932.822737965575470 0.770505958197944 4934.467286287719617 0.777167404997388 4936.112382884017279 0.780933554683782 4937.758027937250517 0.782904039833332 4939.404221630271422 0.785026524968372 4941.050964145982107 0.788391049938762 4942.698255667366539 0.792323373194988 4944.346096377450522 0.795138728053074 4945.994486459328073 0.796463018304847 4947.643426096148687 0.797468396503440 4949.292915471138258 0.801177493297022 4950.942954767568153 0.809397666865269 4952.593544168775225 0.822035582928391 4954.244683858159988 0.837810351267957 4955.896374019174800 0.854841815287552 4957.548614835353874 0.872023187468794 4959.201406490272348 0.889148413402771 4960.854749167574482 0.905220948119664 4962.508643050960018 0.920289104619682 4964.163088324204182 0.933932201876495 4965.818085171131315 0.945727327956725 4967.473633775627604 0.955509120200869 4969.129734321639262 0.963511606877217 4970.786386993186170 0.970274871842495 4972.443591974338233 0.976871171511993 4974.101349449227200 0.984164024815039 4975.759659602043030 0.992998854473808 4977.418522617054805 1.002531113866338 4979.077938678573446 1.011464161997692 4980.737907970979904 1.017996508606648 4982.398430678708792 1.022820880031031 4984.059506986273846 1.027539664161236 4985.721137078233369 1.033401466509390 4987.383321139213876 1.040628570659406 4989.046059353896453 1.049003489929968 4990.709351907040400 1.057671260573625 4992.373198983450493 1.067098458526705 4994.037600767998811 1.077164409321614 4995.702557445614730 1.089736710166600 4997.368069201302205 1.105555960560612 4999.034136220114306 1.124766802135960 5000.700758687167763 1.144768920540265 5002.367936787644794 1.165206544177089 5004.035670706781275 1.185700213119492 5005.703960629891299 1.206708170570372 5007.372806742336252 1.228973974267901 5009.042209229542095 1.252549391550118 5010.712168276992998 1.275516544680671 5012.382684070251344 1.295498780998299 5014.053756794924084 1.309939871051979 5015.725386636685471 1.319796228737631 5017.397573781267965 1.326633044936005 5019.070318414480425 1.333866315629776 5020.743620722177184 1.341442733884232 5022.417480890281695 1.348954298380304 5024.091899104772892 1.354509095303663 5025.766875551708836 1.358761749494543 5027.442410417190331 1.362804122679908 5029.118503887390034 1.369704356158083 5030.795156148533351 1.379726908591121 5032.472367386927544 1.391265624740036 5034.150137788923530 1.399849875127963 5035.828467540939528 1.403781944346165 5037.507356829451965 1.402715742253577 5039.186805841014575 1.399671927384043 5040.866814762227477 1.396347980399044 5042.547383779758093 1.394801845618230 5044.228513080332050 1.395082204476803 5045.910202850750466 1.395654322416285 5047.592453277863569 1.395666481322004 5049.275264548587074 1.395175028739231 5050.958636849896720 1.394659335688572 5052.642570368841916 1.394620330039556 5054.327065292523002 1.394939313545148 5056.012121808105803 1.395352130187236 5057.697740102817988 1.394909857521159 5059.383920363945435 1.392919322208359 5061.070662778852238 1.388843841904311 5062.757967534949785 1.383524591304750 5064.445834819714946 1.377775685811205 5066.134264820683711 1.371353026689116 5067.823257725471194 1.364443450792348 5069.512813721736165 1.357053856494028 5071.202932997207427 1.349687594458369 5072.893615739671986 1.342530440766004 5074.584862136993252 1.335473048229020 5076.276672377081923 1.328297515330976 5077.969046647916912 1.320867146348328 5079.661985137535339 1.313399881409725 5081.355488034050722 1.306226214032039 5083.049555525626602 1.300480139109724 5084.744187800491090 1.296959461272002 5086.439385046932330 1.296370909056762 5088.135147453314858 1.297599733287990 5089.831475208053234 1.300343182763856 5091.528368499627504 1.304668177285484 5093.225827516575919 1.310270412133431 5094.923852447514946 1.316886246858617 5096.622443481110167 1.324144941964206 5098.321600806092647 1.332393578111628 5100.021324611253476 1.342250883113579 5101.721615085461053 1.354095276817339 5103.422472417631070 1.367351711547809 5105.123896796747431 1.380414327683413 5106.825888411852247 1.392234197269642 5108.528447452065848 1.402341663494946 5110.231574106557673 1.411544676949448 5111.935268564562648 1.420780941387113 5113.639531015380271 1.429643744972592 5115.344361648368249 1.437173113411937 5117.049760652962505 1.441991290721884 5118.755728218646254 1.443845920320618 5120.462264534971837 1.443099097112771 5122.169369791548888 1.441657820402973 5123.877044178067081 1.440309254249932 5125.585287884261561 1.439356161001680 5127.294101099937507 1.438296165784719 5129.003484014958303 1.437322606976758 5130.713436819265553 1.436454865605913 5132.423959702849061 1.436243691272677 5134.135052855766844 1.435662942231482 5135.846716468135128 1.435079687107528 5137.558950730148354 1.434268590585508 5139.271755832050985 1.433633492790983 5140.985131964152970 1.431180555614884 5142.699079316826101 1.427193483267228 5144.413598080518568 1.421410682152227 5146.128688445727676 1.415091188578583 5147.844350603018029 1.406696211495887 5149.560584743013351 1.397195975759899 5151.277391056418310 1.387458227060913 5152.994769733983048 1.377607772401013 5154.712720966526831 1.367466633281799 5156.431244944929858 1.356650057358192 5158.150341860147819 1.344630689852891 5159.870011903186423 1.331257909668764 5161.590255265120504 1.316363263526959 5163.311072137088559 1.300840823215604 5165.032462710287291 1.285339471704420 5166.754427175992532 1.267777956689937 5168.476965725527407 1.247723015174391 5170.200078550286889 1.224472678661705 5171.923765841721433 1.199478857379995 5173.648027791363347 1.173789028088192 5175.372864590790414 1.150198508102669 5177.098276431653176 1.129231091336720 5178.824263505657655 1.111805055636975 5180.550826004589908 1.097650717425294 5182.277964120286924 1.087694114239870 5184.005678044652086 1.081950662683062 5185.733967969646983 1.080677396538006 5187.462834087316878 1.081913236383521 5189.192276589750691 1.084453666948593 5190.922295669110099 1.087459566323854 5192.652891517613170 1.090765923830731 5194.384064327558917 1.092705109535540 5196.115814291295464 1.092147751725318 5197.848141601238240 1.087651634886632 5199.581046449864516 1.079061180285572 5201.314529029727964 1.067932619828491 5203.048589533434097 1.057324879764629 5204.783228153654818 1.048946055957432 5206.518445083123879 1.044321032741504 5208.254240514652338 1.041057730838893 5209.990614641102184 1.039367394708253 5211.727567655403618 1.039728713414255 5213.465099750545050 1.041520336029526 5215.203211119597654 1.044546058308517 5216.941901955678986 1.048501090129448 5218.681172451977545 1.053493379288163 5220.421022801744584 1.058541458579451 5222.161453198292293 1.062993260834762 5223.902463835011986 1.066097229382312 5225.644054905344092 1.067792123085167 5227.386226602799070 1.068733277052022 5229.128979120945587 1.070403497511597 5230.872312653434165 1.073764304570212 5232.616227393962617 1.078862055130409 5234.360723536299702 1.084069994901257 5236.105801274272380 1.088881635036013 5237.851460801789472 1.093453149316663 5239.597702312807087 1.098148751065314 5241.344526001354097 1.101446727287627 5243.091932061513944 1.102178242728676 5244.839920687454651 1.100404097827165 5246.588492073392445 1.095691823573504 5248.337646413612674 1.090893734887475 5250.087383902459806 1.086811346654686 5251.837704734360159 1.084314005619055 5253.588609103789167 1.083764963498692 5255.340097205291386 1.085911165542273 5257.092169233470486 1.091482442956900 5258.844825383013813 1.100951681728672 5260.598065848653277 1.113554726267637 5262.351890825193550 1.127635643392986 5264.106300507501146 1.142088664665654 5265.861295090518979 1.156347787161873 5267.616874769240894 1.169291290539332 5269.373039738733496 1.178988848412931 5271.129790194117959 1.183502733774664 5272.887126330601859 1.182594895675445 5274.645048343438248 1.178670385390675 5276.403556427952935 1.175900182996516 5278.162650779533578 1.176410644326444 5279.922331593632407 1.180129112670419 5281.682599065778049 1.186077719382745 5283.443453391550975 1.194004197783971 5285.204894766602592 1.204498240827722 5286.966923386642520 1.217758417952768 5288.729539447462230 1.232972133069968 5290.492743144902306 1.247914300018350 5292.256534674876093 1.260506945764103 5294.020914233353324 1.270630173703428 5295.785882016387404 1.279809580399688 5297.551438220079945 1.289576861587443 5299.317583040604404 1.298886060323633 5301.084316674194270 1.306599542874974 5302.851639317163063 1.312128775972349 5304.619551165875237 1.316085343091373 5306.388052416765277 1.319515894430521 5308.157143266328603 1.322246442589261 5309.926823911140673 1.323011952806102 5311.697094547826055 1.319123105756000 5313.467955373083896 1.310300644117671 5315.239406583670643 1.298276876308686 5317.011448376424596 1.286578695530839 5318.784080948233168 1.278438628693215 5320.557304496056531 1.275548258412394 5322.331119216913066 1.275907998131645 5324.105525307905737 1.276841603213663 5325.880522966184799 1.275999117105926 5327.656112388971451 1.274076503844577 5329.432293773553283 1.271316513470754 5331.209067317279732 1.266971560840957 5332.986433217579361 1.259027182443643 5334.764391671933481 1.245920248938606 5336.542942877891619 1.227537873977997 5338.322087033065145 1.205875076988551 5340.101824335149104 1.183545626675322 5341.882154981885833 1.163092206201905 5343.663079171088611 1.145462238828121 5345.444597100634383 1.130212522996491 5347.226708968479215 1.118551210283143 5349.009414972631930 1.110480908697075 5350.792715311167740 1.107232486491064 5352.576610182228251 1.108059723038246 5354.361099784034195 1.112499962843162 5356.146184314857237 1.118510482803891 5357.931863973039071 1.125375024521539 5359.718138956983239 1.132501358340436 5361.505009465176954 1.140685486757414 5363.292475696154725 1.148063424058775 5365.080537848523818 1.152813615360840 5366.869196120953347 1.153178329470437 5368.658450712192462 1.149838450493620 5370.448301821043060 1.142408316128814 5372.238749646377983 1.130208859620386 5374.029794387128277 1.114589062247277 5375.821436242312302 1.095220727902087 5377.613675410993892 1.073511424704519 5379.406512092312369 1.051355525943442 5381.199946485465262 1.032680636574141 5382.993978789734683 1.018674431101747 5384.788609204451859 1.009294390483458 5386.583837929018955 1.002989787517834 5388.379665162907258 0.999226634013477 5390.176091105648084 0.997151824620596 5391.973115956854599 0.996140217731082 5393.770739916189996 0.997281592058841 5395.568963183390224 0.999475317709464 5397.367785958253990 1.001308020313163 5399.167208440660943 1.000373886543170 5400.967230830539847 0.996806028033366 5402.767853327895864 0.992362334845651 5404.569076132790542 0.992563361698281 5406.370899445370924 0.999381740329580 5408.173323465834983 1.011461934809944 5409.976348394451634 1.027265833419012 5411.779974431551636 1.042967483298581 5413.584201777548515 1.056481376648945 5415.389030632906724 1.066822346661520 5417.194461198163481 1.074852805628536 5419.000493673915116 1.081193204116045 5420.807128260844365 1.086256659864267 5422.614365159682166 1.088080841782718 5424.422204571232214 1.086415741837545 5426.230646696361873 1.082646431949316 5428.039691736017630 1.079426143772904 5429.849339891201453 1.078737566527558 5431.659591362983520 1.082363181980380 5433.470446352497675 1.091718924771218 5435.281905060961435 1.106356569156575 5437.093967689643250 1.125145277794132 5438.906634439882509 1.147525608471265 5440.719905513086815 1.173745625895658 5442.533781110723794 1.200904812775470 5444.348261434349297 1.225168940486138 5446.163346685563738 1.243447486002999 5447.979037066045748 1.256678854243949 5449.795332777530348 1.266236599913964 5451.612234021842596 1.273793869121246 5453.429741000852118 1.280504964267529 5455.247853916505846 1.286376429829108 5457.066572970808920 1.290425191179978 5458.885898365853791 1.291697411721064 5460.705830303782932 1.292118136885190 5462.526368986808848 1.293801521736769 5464.347514617209526 1.298127259806465 5466.169267397344811 1.304419883346431 5467.991627529627294 1.312202946960791 5469.814595216540511 1.320357855497275 5471.638170660630749 1.328615088425471 5473.462354064528881 1.337229076369479 5475.287145630916712 1.346243674280105 5477.112545562547893 1.355773498572010 5478.938554062240655 1.365938622139707 5480.765171332895079 1.377179169631071 5482.592397577462179 1.388689791697743 5484.420232998969368 1.399835153622850 5486.248677800501355 1.409480353336358 5488.077732185231071 1.416666993956603 5489.907396356381469 1.418509230727436 5491.737670517248262 1.414118685436697 5493.568554871189917 1.405265251094657 5495.400049621647668 1.394355053830070 5497.232154972117314 1.383164885272400 5499.064871126165599 1.372345924851399 5500.898198287427476 1.362384726519251 5502.732136659599746 1.351863949883402 5504.566686446465610 1.340095873254415 5506.401847851858292 1.329497588824744 5508.237621079682867 1.324797361426738 5510.074006333910802 1.328984750293447 5511.911003818595418 1.340174299696276 5513.748613737840969 1.353248553576982 5515.586836295828107 1.363921171690871 5517.425671696795689 1.370557758887651 5519.265120145071705 1.373804173601240 5521.105181845034167 1.376432303399062 5522.945857001133845 1.379485904005801 5524.787145817883356 1.380878213703710 5526.629048499882629 1.377642333801561 5528.471565251782522 1.368646579392788 5530.314696278306656 1.355871827025269 5532.158441784240495 1.342271215825894 5534.002801974457725 1.330056368567043 5535.847777053881146 1.319062659300930 5537.693367227507224 1.309356389181819 5539.539572700396093 1.301536024608153 5541.386393677693377 1.296764486416163 5543.233830364596542 1.295246352393085 5545.081882966374906 1.296521673553159 5546.930551688361447 1.298261668532647 5548.779836735978279 1.298988350036871 5550.629738314692077 1.298198344866874 5552.480256630050462 1.297286293923290 5554.331391887658356 1.297333381219408 5556.183144293210717 1.296917838611880 5558.035514052451617 1.293044433762235 5559.888501371199709 1.284471538181000 5561.742106455342764 1.273033106804616 5563.596329510830401 1.261600770785803 5565.451170743699549 1.252831796768247 5567.306630360038071 1.248227197887466 5569.162708566007495 1.248461541518876 5571.019405567834838 1.251812557564192 5572.876721571828966 1.255310456730337 5574.734656784352410 1.257918262834300 5576.593211411844095 1.260393682161734 5578.452385660804794 1.263575792638131 5580.312179737818951 1.266650347564517 5582.172593849525583 1.268164575169877 5584.033628202636464 1.267454875606490 5585.895283003928853 1.264586289832364 5587.757558460264590 1.259140576477839 5589.620454778556450 1.250625459599379 5591.483972165794512 1.240310825829809 5593.348110829028883 1.230612586663518 5595.212870975397891 1.223378068311808 5597.078252812091705 1.219509944713411 5598.944256546375073 1.218971542407625 5600.810882385575496 1.220065176729056 5602.678130537107791 1.219828923517614 5604.546001208438611 1.215722351391171 5606.414494607108281 1.208239570601153 5608.283610940721701 1.201138829539533 5610.153350416971080 1.198581540320245 5612.023713243597740 1.200427761120558 5613.894699628420312 1.201839221674548 5615.766309779326548 1.200433568738198 5617.638543904266953 1.196959266859625 5619.511402211279346 1.194050987846435 5621.384884908454296 1.192284784666572 5623.258992203955131 1.192295034874672 5625.133724306009753 1.192835462216444 5627.009081422935196 1.192186936078639 5628.885063763097605 1.188606609028974 5630.761671534939524 1.183736061907739 5632.638904946967159 1.179589039528957 5634.516764207773122 1.174908817943932 5636.395249526003681 1.168682055544697 5638.274361110377868 1.161076163750655 5640.154099169682013 1.154886446059495 5642.034463912787032 1.150953542182679 5643.915455548614773 1.148603854206421 5645.797074286166207 1.145615342274209 5647.679320334504155 1.138797366457958 5649.562193902777835 1.128212929037118 5651.445695200189220 1.115347355710978 5653.329824436017589 1.102699550483234 5655.214581819604973 1.091618660413210 5657.099967560378900 1.082830015104532 5658.985981867821465 1.075391860881714 5660.872624951491161 1.067245714345729 5662.759897021007419 1.058141871760219 5664.647798286079706 1.049722730507943 5666.536328956468424 1.045006994662677 5668.425489242010372 1.044724582170868 5670.315279352606922 1.048916077789907 5672.205699498246759 1.055850189577862 5674.096749888969498 1.061947010283146 5675.988430734892063 1.066376190668264 5677.880742246202317 1.069787699000463 5679.773684633150879 1.073529307657651 5681.667258106075678 1.075502932155580 5683.561462875368306 1.073225367691953 5685.456299151495841 1.065559347813411 5687.351767144990845 1.053701627346405 5689.247867066470462 1.041521061188432 5691.144599126608227 1.030311254689672 5693.041963536152252 1.019133782329077 5694.939960505914314 1.006558948926485 5696.838590246794411 0.994213835406433 5698.737852969746200 0.984568548259450 5700.637748885797919 0.979292395907758 5702.538278206045106 0.978072195425684 5704.439441141667885 0.978468197054156 5706.341237903900947 0.977822397543313 5708.243668704055381 0.975712656226137 5710.146733753505941 0.976482249339432 5712.050433263717423 0.982969469964585 5713.954767446203732 0.993066035125375 5715.859736512559721 1.003355833362607 5717.765340674442086 1.011555508046073 5719.671580143596657 1.017402558082187 5721.578455131821102 1.020187030570327 5723.485965850990397 1.020514631789046 5725.394112513045002 1.018472785120299 5727.302895330012689 1.012216976714017 5729.212314513975798 1.000098983716855 5731.122370277089431 0.981552171941087 5733.033062831578718 0.958199228794426 5734.944392389752466 0.932246616899306 5736.856359163976776 0.908387888415126 5738.768963366690514 0.892213963201480 5740.682205210406210 0.887521454589493 5742.596084907700060 0.893601619997491 5744.510602671238303 0.907002706356250 5746.425758713737196 0.925618587929009 5748.341553247993033 0.950050652195501 5750.257986486866685 0.981767621884572 5752.175058643305420 1.019579181833846 5754.092769930312897 1.059715419421722 5756.011120560966447 1.098097215054571 5757.930110748412517 1.130667703100476 5759.849740705882141 1.156118656791650 5761.770010646661831 1.174846695965538 5763.690920784115406 1.188248768602357 5765.612471331671259 1.196521467478759 5767.534662502846913 1.200987878952303 5769.457494511213554 1.204170201761912 5771.380967570418761 1.208000291670138 5773.305081894175601 1.211520110994871 5775.229837696287177 1.211628965930512 5777.155235190608437 1.207125073579799 5779.081274591073452 1.198153884369783 5781.007956111679960 1.186184334828897 5782.935279966514827 1.174030964995316 5784.863246369721310 1.162762751012087 5786.791855535515424 1.150300919088860 5788.721107678184126 1.134348762198638 5790.651003012097135 1.115263917144558 5792.581541751684199 1.096013971931959 5794.512724111447824 1.079929665179613 5796.444550305965095 1.070547039421637 5798.377020549875851 1.069018565555011 5800.310135057912703 1.073933558183832 5802.243894044860099 1.081932337941903 5804.178297725578886 1.091381111837892 5806.113346314996306 1.101709472446422 5808.049040028132367 1.111781890675820 5809.985379080056191 1.121318436530412 5811.922363685916935 1.130626639038802 5813.859994060929239 1.139182750738699 5815.798270420396875 1.144537865101623 5817.737192979679094 1.143907956490634 5819.676761954210633 1.137186523281144 5821.616977559493534 1.126796615091085 5823.557840011118969 1.116604937884247 5825.499349524732679 1.109132786595702 5827.441506316057712 1.104272261261411 5829.384310600884419 1.100510903790608 5831.327762595090462 1.095613133068727 5833.271862514608074 1.089622683555377 5835.216610575451341 1.084134223627676 5837.162006993696195 1.079927222601854 5839.108051985507700 1.075404464501182 5841.054745767110035 1.069045335586251 5843.002088554800139 1.061463480828555 5844.950080564945893 1.054053653828317 5846.898722014000668 1.048035923754612 5848.848013118475137 1.044462864213455 5850.797954094957277 1.043660611026366 5852.748545160100548 1.043570261432325 5854.699786530650272 1.041161961380213 5856.651678423404519 1.035671332942274 5858.604221055240487 1.028364068370533 5860.557414643106313 1.020720610644007 5862.511259404018347 1.013211416146915 5864.465755555082069 1.005137300228976 5866.420903313458439 0.994702535399719 5868.376702896385723 0.980940684834530 5870.333154521169490 0.965807333668500 5872.290258405203531 0.951885961514250 5874.248014765938933 0.939948945351805 5876.206423820905002 0.929826750028841 5878.165485787696525 0.921718725014933 5880.125200883996513 0.915458371110996 5882.085569327548910 0.909562119831505 5884.046591336169513 0.902294025053965 5886.008267127745967 0.892592725185449 5887.970596920252319 0.879618069018964 5889.933580931719916 0.862419150427121 5891.897219380258321 0.840434908983461 5893.861512484043487 0.813073122684827 5895.826460461341412 0.778636178484515 5897.792063530474479 0.735429235436985 5899.758321909843289 0.685176032973242 5901.725235817914836 0.633739460310063 5903.692805473247063 0.586042784734104 5905.661031094452483 0.542491829909573 5907.629912900221825 0.502094047958990 5909.599451109315851 0.466883322913450 5911.569645940582632 0.440249090716084 5913.540497612928448 0.422995199364894 5915.512006345334157 0.413267057390105 5917.484172356858835 0.408167397992583 5919.456995866625221 0.404219661663736 5921.430477093847003 0.399210270108457 5923.404616257794260 0.394317605352352 5925.379413577817104 0.392068797028449 5927.354869273329314 0.392060380379192 5929.330983563839254 0.391515221607141 5931.307756668909860 0.389657102463463 5933.285188808181374 0.389145847948778 5935.263280201363159 0.392203153794440 5937.242031068253709 0.397180462201075 5939.221441628709727 0.400454959244480 5941.201512102666129 0.400607482907862 5943.182242710123319 0.399417028459418 5945.163633671176285 0.399250827802645 5947.145685205970949 0.400180131337320 5949.128397534737815 0.399514829722219 5951.111770877771050 0.394559187750981 5953.095805455456684 0.385867485278858 5955.080501488238951 0.377545996777454 5957.065859196638485 0.373716528999633 5959.051878801244129 0.375177058599929 5961.038560522737498 0.379435530046090 5963.025904581854775 0.383559547054022 5965.013911199412178 0.386578467730563 5967.002580596294138 0.389657049187798 5968.991912993473306 0.394729638921570 5970.981908611984181 0.402359258921903 5972.972567672934019 0.410506614922029 5974.963890397502837 0.415873740947762 5976.955877006960691 0.416771041264546 5978.948527722634026 0.414058141142469 5980.941842765925685 0.409089116657970 5982.935822358318546 0.402378869371193 5984.930466721358243 0.394338370821316 5986.925776076684997 0.385888957136791 5988.921750645991779 0.378245857717807 5990.918390651056143 0.372594467982430 5992.915696313718399 0.369530885321992 5994.913667855915264 0.368892072247746 5996.912305499636204 0.371115277247199 5998.911609466953450 0.377611330941296 6000.911579980005627 0.388091234451711 6002.912217261022306 0.399473171795830 6004.913521532293089 0.407634381802199 6006.915493016182154 0.412734971609472 6008.918131935126439 0.418940245717002 6010.921438511652923 0.424111940464628 6012.925412968345881 0.428754395452422 6014.930055527868717 0.433023765092369 6016.935366412952135 0.434877471711911 6018.941345846424156 0.432169402366529 6020.947994051161004 0.425860347217866 6022.955311250127124 0.419272023579563 6024.963297666348808 0.414833879917583 6026.971953522950571 0.413340443602288 6028.981279043107861 0.414995765900120 6030.991274450080709 0.419250539972804 6033.001939967194630 0.424333806546505 6035.013275817869726 0.429004144769971 6037.025282225582487 0.434330033153531 6039.037959413888530 0.442296549455692 6041.051307606411683 0.452914798204383 6043.065327026870364 0.464211356634260 6045.080017899037557 0.474217229232925 6047.095380446769923 0.482108316059283 6049.111414893994151 0.487954307819697 6051.128121464709693 0.492278584630816 6053.145500383006947 0.496024196655628 6055.163551873030883 0.500340525176741 6057.182276159012872 0.505644843574819 6059.201673465247950 0.511546799532820 6061.221744016124831 0.517412738896172 6063.242488036091345 0.522581910787953 6065.263905749673540 0.526690003802359 6067.285997381467496 0.530037655602985 6069.308763156162968 0.533316055840629 6071.332203298504282 0.537230840434837 6073.356318033319440 0.542443596309834 6075.381107585502832 0.548864523012623 6077.406572180045259 0.555993591244514 6079.432712041989362 0.565117486365646 6081.459527396464182 0.579216808872259 6083.487018468663337 0.599189892361310 6085.515185483877758 0.621446290072506 6087.544028667452039 0.640611586923209 6089.573548244813537 0.653966947942975 6091.603744441458730 0.662719136177377 6093.634617482976864 0.670190936993097 6095.666167595013576 0.679608755432814 6097.698395003298174 0.691741508949030 6099.731299933626360 0.704428267487144 6101.764882611889334 0.715318295053162 6103.799143264033773 0.724249962610032 6105.834082116090940 0.732438621879203 6107.869699394162126 0.741159483280948 6109.905995324423202 0.751551515809350 6111.942970133139170 0.763659586257921 6113.980624046636876 0.776068514363864 6116.018957291322295 0.788544748689212 6118.057970093667791 0.803742797621954 6120.097662680245776 0.824007054806127 6122.138035277681411 0.848471240411419 6124.179088112682621 0.876006569084871 6126.220821412027362 0.908367229085717 6128.263235402586361 0.946949641839555 6130.306330311289457 0.988701880009970 6132.350106365146530 1.027845574208365 6134.394563791237488 1.059500570017624 6136.439702816736826 1.080870665603950 6138.485523668876340 1.092502763616046 6140.532026574970587 1.098886987905122 6142.579211762399609 1.104604657657032 6144.627079458642584 1.109848033677956 6146.675629891235076 1.111605982105417 6148.724863287791777 1.108629771994869 6150.774779876000139 1.104819790324953 6152.825379883641290 1.107661869639157 6154.876663538552748 1.122876296836802 6156.928631068656614 1.149149298840041 6158.981282701940472 1.179068045446963 6161.034618666491042 1.206084346511464 6163.088639190449612 1.229112917029711 6165.143344502042055 1.250259366541803 6167.198734829560635 1.271296672337862 6169.254810401396753 1.293420261598578 6171.311571445995469 1.316496671209173 6173.369018191886425 1.336722533003774 6175.427150867673845 1.348557416766757 6177.485969702034708 1.351007654740096 6179.545474923737856 1.349571921253126 6181.605666761610337 1.351101158866925 6183.666545444564690 1.358375333879176 6185.728111201578940 1.369581106244269 6187.790364261729337 1.380957922206141 6189.853304854148519 1.389687498547667 6191.916933208052797 1.395675186939533 6193.981249552727604 1.401071012351162 6196.046254117553872 1.407742716394695 6198.111947131969828 1.415484538508991 6200.178328825497374 1.422576328666483 6202.245399427729353 1.426933495406585 6204.313159168350467 1.427298130126159 6206.381608277107262 1.425063733769761 6208.450746983827230 1.424414453821379 6210.520575518407895 1.428408928207271 6212.591094110843187 1.436141371496195 6214.662302991183424 1.446042433395448 6216.734202389563507 1.458677521921306 6218.806792536189278 1.473008366421598 6220.880073661360257 1.484206126423061 6222.954045995434171 1.489278446719059 6225.028709768853332 1.490895669625086 6227.104065212129171 1.491937027198702 6229.180112555869528 1.490542300337262 6231.256852030739537 1.484000675304102 6233.334283867488921 1.473768807942136 6235.412408296935610 1.463647833296198 6237.491225549996670 1.456335087123837 6239.570735857645559 1.452844366646268 6241.650939450937585 1.453412429794316 6243.731836561006276 1.457562544291286 6245.813427419057916 1.463983002672826 6247.895712256391562 1.472200808401462 6249.978691304366293 1.482875980956260 6252.062364794424866 1.496342722572057 6254.146732958078246 1.510610397068213 6256.231796026937445 1.522628347755410 6258.317554232669863 1.530185621578752 6260.404007807026574 1.531750534209330 6262.491156981826862 1.526904826010400 6264.579001988991877 1.518260918679488 6266.667543060497337 1.509478644594939 6268.756780428401726 1.501667704020751 6270.846714324838103 1.493909993010065 6272.937344982033210 1.485667588449502 6275.028672632272901 1.477054266370742 6277.120697507927616 1.468849106048970 6279.213419841436917 1.462882376912573 6281.306839865339498 1.461689019219689 6283.400957812230445 1.465333640890952 6285.495773914790334 1.470094750550220 6287.591288405768864 1.471668935152245 6289.687501518014869 1.469068394180709 6291.784413484434481 1.464107165893340 6293.882024538017504 1.459195958009114 6295.980334911825594 1.455844955049646 6298.079344839016812 1.454134130760225 6300.179054552808338 1.452548577291696 6302.279464286501934 1.448289757063880 6304.380574273474849 1.439151684274385 6306.482384747179822 1.425783458270623 6308.584895941161449 1.411304880480672 6310.688108089027082 1.398171310674746 6312.792021424466839 1.386739325790111 6314.896636181241774 1.376788465790050 6317.001952593212991 1.369025497083986 6319.107970894295249 1.364334262159505 6321.214691318492441 1.363893528958699 6323.322114099877581 1.368727291766148 6325.430239472620997 1.377817373749497 6327.539067670953955 1.388521039455690 6329.648598929189575 1.400286869252653 6331.758833481713737 1.414198050010945 6333.869771563010545 1.428438578613505 6335.981413407621403 1.438729807547200 6338.093759250174116 1.442813596353199 6340.206809325366521 1.441160163617550 6342.320563867995588 1.436072799874719 6344.435023112914678 1.431005815101936 6346.550187295066280 1.428966615178459 6348.666056649461098 1.429850113049073 6350.782631411208058 1.429981213445632 6352.899911815476116 1.425772384575809 6355.017898097518810 1.417362016909472 6357.136590492661526 1.408362187112645 6359.255989236326968 1.402026969464228 6361.376094563997867 1.397489898972792 6363.496906711241536 1.391337060099081 6365.618425913697138 1.383098301522572 6367.740652407102061 1.375638182973705 6369.863586427252812 1.370039448731070 6371.987228210030480 1.365402038845845 6374.111577991396189 1.362100579379601 6376.236636007381094 1.360700948466563 6378.362402494116395 1.359839204286884 6380.488877687792410 1.357874463753161 6382.616061824683129 1.354315901156798 6384.743955141136212 1.348059464864022 6386.872557873597543 1.337081606380434 6389.001870258572126 1.323015789144138 6391.131892532649545 1.312827363041751 6393.262624932493054 1.311322074384232 6395.394067694864134 1.316591473233345 6397.526221056581562 1.324023803856311 6399.659085254553247 1.331352196609626 6401.792660525756219 1.338443979960785 6403.926947107267551 1.345042661996995 6406.061945236225256 1.350149514045771 6408.197655149849197 1.352849312039365 6410.334077085435638 1.350795866428032 6412.471211280376338 1.342113465595913 6414.609057972124901 1.327660494905286 6416.747617398219518 1.310855612714930 6418.886889796272953 1.293265442911865 6421.026875403993472 1.274540435664369 6423.167574459150273 1.256059336429261 6425.308987199600779 1.242191817541408 6427.451113863271530 1.233967989958002 6429.593954688190934 1.227715901396186 6431.737509912444693 1.219390884293658 6433.881779774206734 1.207270579067138 6436.026764511728288 1.190515462000023 6438.172464363335166 1.171099755254043 6440.318879567450495 1.152604582600951 6442.466010362559246 1.136417405824404 6444.613856987231884 1.122566694811474 6446.762419680110725 1.111558776529109 6448.911698679938127 1.105289076988487 6451.061694225516476 1.105417577952781 6453.212406555734560 1.109427229725978 6455.363835909553018 1.112303817766349 6457.515982526033440 1.113286759294494 6459.668846644295627 1.113795368305164 6461.822428503548508 1.113662287660973 6463.976728343070135 1.111707615529293 6466.131746402243152 1.106003046558292 6468.287482920503862 1.093518618261186 6470.443938137381338 1.075865535313975 6472.601112292473772 1.058659449675558 6474.759005625482132 1.046172446702702 6476.917618376162864 1.038083612626942 6479.076950784364271 1.031694495579026 6481.237003090004691 1.025880564349230 6483.397775533103413 1.020603101846318 6485.559268353737934 1.017660274499797 6487.721481792077611 1.018032802479521 6489.884416088358194 1.018306419805488 6492.048071482920932 1.014937569742410 6494.212448216165285 1.007963586603693 6496.377546528578023 1.000188222210586 6498.543366660716856 0.994794974545702 6500.709908853243178 0.992398151103191 6502.877173346878408 0.990977977558802 6505.045160382427639 0.989629856286802 6507.213870200778729 0.986923687465565 6509.383303042893203 0.981098887181888 6511.553459149832634 0.973697265731399 6513.724338762719526 0.966769814586269 6515.895942122760971 0.959347855398422 6518.068269471241365 0.949997842640473 6520.241321049541511 0.937324419757015 6522.415097099107697 0.921196342807045 6524.589597861468064 0.905475784045316 6526.764823578228970 0.895196649019119 6528.940774491094089 0.894056458008929 6531.117450841829850 0.903320446687065 6533.294852872289994 0.918981603632320 6535.472980824399201 0.933526783911413 6537.651834940187655 0.944985172826892 6539.831415461741926 0.955039971327248 6542.011722631237717 0.964457827787228 6544.192756690924398 0.973644371346128 6546.374517883154112 0.981599603517533 6548.557006450335393 0.983637125592424 6550.740222634969541 0.976991941047648 6552.924166679628797 0.962230544483541 6555.108838826986357 0.942215280321622 6557.294239319777262 0.922020963844122 6559.480368400823863 0.905599901823771 6561.667226313022184 0.894845408502131 6563.854813299371017 0.887655402987234 6566.043129602927365 0.879800615300286 6568.232175466838271 0.866577604216405 6570.421951134324445 0.850833931382904 6572.612456848707552 0.838292539356924 6574.803692853370194 0.833218823057865 6576.995659391783192 0.835873903754056 6579.188356707498315 0.840892215327586 6581.381785044142816 0.840455431279079 6583.575944645443087 0.832583837349110 6585.770835755188273 0.825154102830490 6587.966458617255739 0.825455345580859 6590.162813475595613 0.831483890702418 6592.359900574262610 0.838165488713685 6594.557720157368749 0.840915500278593 6596.756272469117903 0.837784939406431 6598.955557753786707 0.831802278283129 6601.155576255752749 0.827459094409414 6603.356328219455463 0.824177151595736 6605.557813889425233 0.820246628240055 6607.760033510262474 0.914707621174331 6609.962987326672192 0.911959316559712 6612.166675583421238 0.908565977940861 6614.371098525362868 0.905895196287383 6616.576256397426732 0.903574637517193 6618.782149444643437 0.900578358700669 6620.988777912106343 0.895883602948094 6623.196142044996122 0.889090027091508 6625.404242088567116 0.880938604676915 6627.613078288179167 0.870243288051697 6629.822650889252145 0.855955157072987 6632.032960137292321 0.841232365265860 6634.244006277883273 0.831554455162177 6636.455789556711352 0.828203175727307 6638.668310219522937 0.828564985462017 6640.881568512153535 0.830864343492978 6643.095564680520511 0.836044132275511 6645.310298970616714 0.845616649051720 6647.525771628537768 0.857518337977424 6649.741982900441144 0.868845953493406 6651.958933032570712 0.878520774840805 6654.176622271248561 0.883831633463281 6656.395050862898643 0.879720391687487 6658.614219054004934 0.866616541460662 6660.834127091142363 0.850866324642234 6663.054775220961346 0.838580405495777 6665.276163690213252 0.830503691900100 6667.498292745712206 0.823122283840458 6669.721162634361463 0.814918496192052 6671.944773603140675 0.808146380501670 6674.169125899130449 0.804959355178529 6676.394219769474148 0.804916238222893 6678.620055461404263 0.806737224202838 6680.846633222229684 0.809152528193656 6683.073953299362074 0.809231325729123 6685.302015940273122 0.806239567396133 6687.530821392526377 0.805264223518958 6689.760369903759965 0.811856564892810 6691.990661721714787 0.825246791053689 6694.221697094195406 0.839120745956141 6696.453476269092789 0.848729826574067 6698.685999494377029 0.856169325836613 6700.919267018118262 0.864980178521789 6703.153279088453019 0.876189991747833 6705.388035953602412 0.888982985518336 6707.623537861867590 0.898423570207549 6709.859785061650655 0.897754519068409 6712.096777801416465 0.886234086985361 6714.334516329719918 0.871616346140819 6716.573000895199584 0.862059014442963 6718.812231746567704 0.859447588786345 6721.052209132642020 0.861000707484546 6723.292933302302117 0.862828983542125 6725.534404504516715 0.863480907718163 6727.776622988332747 0.863910812989917 6730.019589002897192 0.866030704866407 6732.263302797424330 0.871843681496695 6734.507764621213937 0.879021727743267 6736.752974723644002 0.882716418366434 6738.998933354196197 0.882388836121443 6741.245640762414041 0.879801534608100 6743.493097197932912 0.875916254842353 6745.741302910461854 0.872834094599602 6747.990258149817237 0.871611071812685 6750.239963165873633 0.871423347424597 6752.490418208600204 0.872566596381267 6754.741623528039781 0.875072677518393 6756.993579374340698 0.876809877055164 6759.246285997713130 0.874003900195462 6761.499743648456388 0.864945865554935 6763.753952576949814 0.853568755711179 6766.008913033674617 0.845728600052520 6768.264625269173848 0.841288566660162 6770.521089534082421 0.836128386641152 6772.778306079112554 0.827926560475610 6775.036275155080148 0.817962001449344 6777.294997012862041 0.809991931769153 6779.554471903428748 0.807596882066876 6781.814700077825364 0.809657248134215 6784.075681787202484 0.811236812522808 6786.337417282774368 0.807881811637372 6788.599906815843497 0.798132088287442 6790.863150637797844 0.785537489926813 6793.127149000102690 0.782080650831860 6795.391902154326999 0.779907349667947 6797.657410352103398 0.776068744477940 6799.923673845153644 0.767419009475680 6802.190692885278622 0.754001887198672