SN 1990N Ia in NGC 4639 (Sbc)


Geoffrey Chaucer with an astrolabe.


OBJ:   SN 1990N Ia in NGC 4639 (Sbc).  In Leda it is
          NGC 4639 (Leda).
DISCOVERY: 1990jun23 by Thouvenot
          CfA List of Supernovae.
MAX:  1990jul10.5 +/- 1 (JD 2448083.0) in B according to {leibundgut1991}.
      1990jul10.2 +/- 0.5 (JD 2448082.7) in B according to {lira1998}.
           See the US Navy Observatory Julian Date Converter.
           This day of the year 191.
SUPERNOVA of the YEAR:  14.


REF:

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

       {jeffery1992}  On early 90N spectra.

       {leibundgut1991}  On early 90N spectra and photometry.

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 982 +/- 6 km/s and
          NGC 4639 (Leda).
     I'll trust Leda just for consistency.
      not dereddened ??? (Galactic foreground .11/4=.0275
          NGC 4639 (Leda).
     Schlegel et al. (1998).
      not smoothed ????, not photometric ????
      Derived maximum in some band is  (see above).


COMMENT: Very noisy. But it is the intermediate spectrum that shows how 90N evolved from day -14.3 to day -7.5. It seems to show the two-component nature and transition of the Si II 6355 absorption. ``yes that spectrum is poor indeed (poor wheather). the observers were Benetti and myself, telescope 182cm of Asiago, spectrograph B&C, detector CCD, date 28/8 (of course).''---Massimo Turatto, Tue May 23 12:23:29 1995
f1 The transition of the Si II 6355 absorption. The postscript is f1.ps.


OBSERVATIONS: From (1). 1) David Jeffery's old catalog: 2) David Branch: 3) Eddie Baron: 4) SUSPECT: 5) CfA Supernova Archive: SPECTRUM LOG: JD times for the SN 1990N spectra of various observers. Bmax: 1990jul09.40 +/- 0.14 UT (JD 2448081.90 +/- 0.14) (riess2005). 1990jul10.2 +/- 0.5 (JD 2448082.7) B (lira1998). Some of the spectra are observer frame and some are rest frame. In some cases, we have had to estimate the JD. JD Bmax Heliocentric velocity (Leda, 2007jul04) 8081.90 982. Heliocentric velocity Z redshift 982.0000000000 0.0032755994 Index JD of some kind Observer phase Rest phase 1 8068.6600000000 -13.2400000000 -13.1967726592 ! leibundgut1991 1990jun26.16 3200.--8399.99991 (observed) 2 0.0000000000****************************** ! Precise JD from CfA FITS header. 3 8071.3000000000 -10.6000000000 -10.5653920081 ! turatto1995 1990jun28.8 3823.--8047. (observed) 4 0.0000000000****************************** ! Crude estimate of JD: -.8/+.2 5 8075.4900000000 -6.4100000000 -6.3890719596 ! leibundgut1991 1990jun02.99 980.582--7723.596376 (observed) 6 0.0000000000****************************** ! Precise JD from CfA FITS header. 7 8084.5000000000 2.6000000000 2.5915112473 ! mazzali1993 1990jul12.0 3750.--8049. (observed) 8 0.0000000000****************************** ! The FITS JD may be rounded. 9 8089.8000000000 7.9000000000 7.8742072513 ! leibundgut1991 1990jul17.3 3915.--9880. (observed) 10 0.0000000000****************************** ! .3 based on Lick Obs. time. 11 8099.6500000000 17.7500000000 17.6920479381 ! CfA SN Archive 1990jul27.15 3187.743--7486.774614 12 0.0000000000****************************** ! Precise JD from CfA FITS header. 13 8103.8000000000 21.9000000000 21.8284985828 ! filippenko1992c 1990jul31.3 3885.--9880. (observed?) 14 0.0000000000****************************** ! .3 based on Lick Obs. time. 15 8132.8000000000 50.9000000000 50.7338163409 ! filippenko1992c 1990aug29.3 3885.--9900. (observed?) 16 0.0000000000****************************** ! .3 based on Lick Obs. time. 17 8268.6500000000 186.7500000000 186.1402790110 ! gomez1996 1991jan12.15 3410.--9787. (rest) 18 8309.7300000000 227.8300000000 227.0861567179 ! gomez1996 1991feb22.23 3402.79--9778.7197 (rest) &specnamelist aname='sn1990n Ia 1990_06_28' ebv=.0275 epoch=-10.5653920081 ! This parameter needs to updated for the particular spectrum. iformat=1 ! This has to be checked for every spectrum. itick=2 itickln=4 ismooth=1 ! smooth_x=.5d0/300.d0 ! Default relative smoothing length. But division won't work in a namelist. smooth_x=.003333333333 t_rise=19.4d0 ! From {conley2006} v_helio=982. ymin2=.14e-15 ymax2=.2e-14 ymin3=.4 ymax3=2.5 wlammin1=3823. wlammax1=8047. wlammin2=3823. wlammax2=8047. wlammin3=5000. wlammax3=7400. /
./figure/sn1990n_1990_06_28.gif Postscript plot of the spectrum.
./figure/sn1990n_1990_06_28.dif.gif Postscript plot of the spectrum with local normalization.
Information from somewhere and someone: Asiago is in northern Italy. Therefore local time is close to UT time. So was the spectrum taken late on the 28 or early? It was an important object and Asiago has supernovae as a specialty. I'd assume they would try as early in the evening as they could. But if the weather was poor they might have waited to later. Probably no one knows know. Let's guess 28.80 UT and admit this could be -.8 or +.2. That would be JD 2448071.3 #Image: 90n.28jun90.asiago Wcs: world Information from somewhere. From mturatto@eso.org Tue May 23 12:23:29 1995 Subject: 90n hi david, yes that spectrum is poor indeed (poor wheather). the observers were Benetti and myself, telescope 182cm of Asiago, spectrograph B&C, detector CCD, date 28/8 (of course). if you need something more you should wait 10 days. in fact now I am in Padova and in the afternood I leave to Chile. All my notes on the observations are in Garching where I will be only in 10 days from now. ciao massimo OBJ: SN Ia 1990N in NGC 4639. DATE: Jun. 28 1990. Since B maximum was on 1990 July 10.5, this is about day 5 (day 5.5 if one assumes June 28 exactly) assuming the rise time to B maximum is 18 days. For such early dates relative error in using the 18 day rule is very large. Note SN 1990N was discovered 17.54 days before B maximum which is on day 0.46 by the 18 day rule. OBS: Benetti & Turatto and unpublished as of 1995. I probably got the spectra from Massimo or Stefano, but no longer recall. REP: F_lambda (erg/s/cm^2/ang) vs. lambda (ang) COR: not deredshifted (heliocentric velocity 975pm10 km/s), not dereddened (Galactic E(B-V)=.0125 and I estmated no parent galaxy extinction), not smoothed ?, not photometric ? REF: ? DAY: 5. END: 3811.075328180844281 1.081379284945699 3812.345898373506316 1.074784200507623 3813.616892160161115 1.043694115736081 3814.888309682026375 0.993109873585479 3816.160151080378000 0.948620266987774 3817.432416496528276 0.909794937393038 3818.705106071839509 0.876142352056301 3819.978219947718571 0.850461358666677 3821.251758265629633 0.848516161268971 3822.525721167073243 0.865911623456250 3823.800108793601339 0.868427539014931 3825.074921286807694 0.870918482169974 3826.350158788347017 0.873384787105027 3827.625821439907668 0.874344432431465 3828.901909383230304 0.860753850669284 3830.178422760098329 0.840004679481080 3831.455361712354261 0.820669411935423 3832.732726381877001 0.801527922029177 3834.010516910595015 0.782121217424601 3835.288733440482247 0.764095763030365 3836.567376113569480 0.758052980072453 3837.846445071924791 0.780568151900984 3839.125940457666729 0.814385763643243 3840.405862412957504 0.848188815813610 3841.686211080018893 0.881733730482990 3842.966986601107692 0.912116101785091 3844.248189118532537 0.922557728476276 3845.529818774644809 0.898471565629845 3846.811875711855919 0.859000661014273 3848.094360072612744 0.819674894220142 3849.377271999413551 0.780415840288695 3850.660611634803900 0.744250147003487 3851.944379121373458 0.723944936170893 3853.228574601771015 0.719694000386916 3854.513198218680827 0.723797365881946 3855.798250114838538 0.728511817486695 3857.083730433024357 0.733852491308182 3858.369639316077155 0.590983212836125 3859.655976906871274 0.569570288881152 3860.942743348333806 0.545100956858362 3862.229938783434136 0.516658768710870 3863.517563355202583 0.514335136299361 3864.805617206704028 0.514665513246676 3866.094100481055648 0.514996000337997 3867.383013321418730 0.515326597610043 3868.672355871013679 0.515657305099549 3869.962128273095914 0.515988122843259 3871.252330670974516 0.539936784538110 3872.542963208001311 0.573411411086956 3873.834026027587242 0.614745419554808 3875.125519273180089 0.810704268334552 3876.417443088279015 0.898113718464111 3877.709797616427295 0.947079064976924 3879.002583001227322 0.990172784680345 3880.295799386318777 1.028327675658194 3881.589446915391818 1.054072850226015 3882.883525732181170 1.087204841370585 3884.178035980481582 1.133085162263432 3885.472977804122820 1.176099990268351 3886.768351346988311 1.219444043467827 3888.064156753007865 1.225978345819602 3889.360394166155857 1.224370664596741 3890.657063730466689 1.220516352318354 3891.954165590010689 1.199511297031945 3893.251699888910480 1.168240508605807 3894.549666771332795 1.137260085897273 3895.848066381503486 1.111461329476135 3897.146898863686147 1.093696384893199 3898.446164362194395 1.073166605796631 3899.745863021387777 1.035883553728530 3901.045994985684956 0.991780522061659 3902.346560399540977 0.947155515786612 3903.647559407463632 0.901504506099504 3904.948992154003918 0.855061927553349 3906.250858783773310 0.812912483967645 3907.553159441420121 0.782120361783178 3908.855894271644502 0.754514316294170 3910.159063419190261 0.727785293527534 3911.462667028862143 0.718270131652113 3912.766705245500816 0.719433999124383 3914.071178214000156 0.733914652599368 3915.376086079296783 0.773583703378428 3916.681428986388710 0.816095485618697 3917.987207080310327 0.847578289124155 3919.293420506147868 0.839399804773186 3920.600069409032130 0.808688399676706 3921.907153934154394 0.771471166657690 3923.214674226741863 0.726129121401861 3924.522630432075402 0.679731767840074 3925.831022695479078 0.637052520421265 3927.139851162337436 0.603901103276137 3928.449115978072314 0.573872099664667 3929.758817288157388 0.544785575737695 3931.068955238115450 0.516379176293618 3932.379529973512490 0.488219627423667 3933.690541639976800 0.461895389107458 3935.001990383171687 0.438575155899289 3936.313876348814574 0.412276752186822 3937.626199682665629 0.368041755080371 3938.938960530546865 0.315769954842759 3940.252159038316677 0.265067443243631 3941.565795351886209 0.232639113988992 3942.879869617210261 0.216824136520913 3944.194381980306389 0.222138332138878 3945.509332587226254 0.270333344327895 3946.824721584076542 0.331305173788138 3948.140549117006685 0.394663384579201 3949.456815332227961 0.491802898472982 3950.773520375988937 0.607419447368631 3952.090664394589112 0.717135217335414 3953.408247534374368 0.817027384526038 3954.726269941750616 0.916258258442590 3956.044731763161053 1.010731673736612 3957.363633145101630 1.087468952556094 3958.682974234111953 1.157651982855602 3960.002755176794835 1.225337749855983 3961.322976119787654 1.290517851358802 3962.643637209781900 1.355244173543391 3963.964738593513630 1.424852462339510 3965.286280417779835 1.504833954376167 3966.608262829414798 1.580610875737856 3967.930685975305096 1.635044465005814 3969.253550002383236 1.676559974244013 3970.576855057641296 1.718030888756274 3971.900601288109556 1.763147749948183 3973.224788840871042 1.812964810239418 3974.549417863057442 1.850156857635522 3975.874488501846372 1.852852488625948 3977.200000904475019 1.846740832393191 3978.525955218219224 1.836608347354229 3979.852351590406670 1.810045594153769 3981.179190168411424 1.773006727645106 3982.506471099667124 1.746613014693823 3983.834194531646517 1.734404442925356 3985.162360611873282 1.725031345504436 3986.490969487918392 1.728551643726558 3987.820021307412389 1.771737059296863 3989.149516218024473 1.825302934632709 3990.479454367475228 1.869335808596644 3991.809835903532530 1.907078408869343 3993.140660974023831 1.942000845265473 3994.471929726815233 1.951632655742424 3995.803642309824681 1.926198795127718 3997.135798871016959 1.891674609186639 3998.468399558417332 1.851540188248044 3999.801444520088353 1.809227507452328 4001.134933904146237 1.767935670006797 4002.468867858752674 1.738570993327509 4003.803246532129833 1.717326184832305 4005.138070072538994 1.709252748251313 4006.473338628293277 1.717832136724141 4007.809052347751731 1.730336873844917 4009.145211379335251 1.747160830093480 4010.481815871502022 1.778477937699494 4011.818865972763888 1.815432228786965 4013.156361831681352 1.814078664969288 4014.494303596861300 1.785948967589291 4015.832691416972011 1.757760452870064 4017.171525440719506 1.704428937997773 4018.510805816862558 1.618059132265870 4019.850532694206322 1.534025787523990 4021.190706221617802 1.494043260546400 4022.531326548000379 1.470919980779010 4023.872393822312461 1.447694640296559 4025.213908193557472 1.419001271848892 4026.555869810800232 1.386777958606497 4027.898278823143755 1.346817752678939 4029.241135379744719 1.294118129579968 4030.584439629805274 1.239570533826031 4031.928191722589418 1.196478625227915 4033.272391807399345 1.192797017077156 4034.617040033590001 1.202976777757208 4035.962136550562718 1.200309815745836 4037.307681507781581 1.186886438273589 4038.653675054746600 1.173467795684545 4040.000117341013265 1.142096905930486 4041.347008516181631 1.087532415809742 4042.694348729914964 1.041201075394736 4044.042138131913362 1.036092514092755 4045.390376871931494 1.045366334964139 4046.739065099769050 1.054373257489383 4048.088202965288929 1.057424856298471 4049.437790618390864 1.057135182726621 4050.787828209029612 1.060502541322060 4052.138315887204499 1.069648770167316 4053.489253802978510 1.079137567625279 4054.840642106451469 1.111886097890452 4056.192480947778222 1.203791636192222 4057.544770477161819 1.307390531041476 4058.897510844853969 1.374244697326340 4060.250702201166405 1.416663297279979 4061.604344696449971 1.459091442512703 4062.958438481109170 1.519369914320215 4064.312983705594888 1.596757931198914 4065.667980520420770 1.687172959514102 4067.023429076137290 1.806794825796475 4068.379329523350407 1.932231896849392 4069.735682012711095 2.047136343456567 4071.092486694933541 2.104114376856374 4072.449743720770130 2.136435834408521 4073.807453241026906 2.173673936769620 4075.165615406555844 2.215591656519439 4076.524230368273038 2.257471228569979 4077.883298277130962 2.308124681768795 4079.242819284137113 2.371440048999905 4080.602793540345829 2.420921432387408 4081.963221196873292 2.406492561039382 4083.324102404873884 2.369628890998772 4084.685437315556555 2.333909152623643 4086.047226080177097 2.327706402181865 4087.409468850052690 2.337592148178963 4088.772165776540987 2.331904356979907 4090.135317011051484 2.306256792106352 4091.498922705041423 2.278786154345012 4092.862983010031712 2.229766211459016 4094.227498077579185 2.136713197527790 4095.592468059297971 2.038796082457203 4096.957893106846313 2.001355187007685 4098.323773371947027 1.990780537798051 4099.690109006359307 1.979794730448722 4101.056900161899648 1.961876619293580 4102.424146990432746 1.938773199675548 4103.791849643871501 1.906250816600271 4105.160008274190659 1.860614439442517 4106.528623033404074 1.812308096432766 4107.897694073580169 1.760546495519448 4109.267221546832843 1.698495491706546 4110.637205605340569 1.631261015810966 4112.007646401320017 1.533805897332500 4113.378544087042428 1.420689996526528 4114.749898814825428 1.308844583459504 4116.121710737049398 1.209695798983291 4117.493980006134734 1.123341866844418 4118.866706774555496 1.064491595822702 4120.239891194832126 1.049023142957329 4121.613533419550549 1.045213241910393 4122.987633601332163 1.042341282940752 4124.362191892854753 1.042930373113047 4125.737208446842487 1.045712340736334 4127.112683416085019 1.055826493407928 4128.488616953407472 1.070769480127986 4129.865009211691358 1.085521475450451 4131.241860343865483 1.094727233612647 4132.619170502922316 1.096799311684837 4133.996939841889798 1.102683391176137 4135.375168513855897 1.118959900413883 4136.753856671951326 1.137746127059071 4138.133004469372281 1.156931371908350 4139.512612059354069 1.177440981353967 4140.892679595185655 1.195978784327599 4142.273207230208754 1.200383535406667 4143.654195117809650 1.193021743931327 4145.035643411441015 1.184529762153577 4146.417552264592814 1.167838412124136 4147.799921830809581 1.138152263173206 4149.182752263684961 1.107000475446434 4150.566043716874447 1.072233728234451 4151.949796344072638 1.036796185903138 4153.334010299031434 1.004076054146450 4154.718685735546387 0.982322478968062 4156.103822807478537 0.965784872492771 4157.489421668729847 0.956520952655120 4158.875482473254124 0.953417298047977 4160.262005375053377 0.950274670812981 4161.648990528196009 0.940869067081833 4163.036438086785893 0.925394610721252 4164.424348204985108 0.908715472483260 4165.812721037000301 0.890593171290563 4167.201556737103601 0.872217816111326 4168.590855459607155 0.853856021142039 4169.980617358876771 0.835464589838472 4171.370842589325548 0.817937516067780 4172.761531305432072 0.814491439583431 4174.152683661713127 0.818102450385606 4175.544299812741883 0.821046255781235 4176.936379913136079 0.817482114444683 4178.328924117581664 0.808149868771465 4179.721932580800967 0.791320724694183 4181.115405457572706 0.765256751945482 4182.509342902722892 0.737125770565081 4183.903745071141202 0.708821770447167 4185.298612117758239 0.679981630431811 4186.693944197559176 0.654040704555682 4188.089741465580119 0.633578933178215 4189.486004076905374 0.617264653623926 4190.882732186684734 0.603561966032967 4192.279925950104371 0.591129870423797 4193.677585522409572 0.578902560674139 4195.075711058891102 0.566696231989998 4196.474302714904297 0.554530881679603 4197.873360645844514 0.542825418010800 4199.272885007162586 0.532594287612118 4200.672875954356641 0.523001217714670 4202.073333642990292 0.513425390418790 4203.474258228665349 0.508464073179120 4204.875649867039101 0.510138649417666 4206.277508713819770 0.508860660656024 4207.679834924775605 0.502231392960793 4209.082628655718509 0.495603521449390 4210.485890062512226 0.489057352894173 4211.889619301072344 0.483029981533416 4213.293816527376293 0.485199499369081 4214.698481897441525 0.507731109052546 4216.103615567342786 0.535313658733631 4217.509217693202118 0.562768947033808 4218.915288431204317 0.589167009850848 4220.321827937576927 0.612624606392019 4221.728836368601151 0.614447919277506 4223.136313880607304 0.604478603905690 4224.544260629990276 0.594022290378775 4225.952676773184066 0.583014242056970 4227.361562466679970 0.571178387508928 4228.770917867020216 0.571061083128416 4230.180743130796145 0.589877452835559 4231.591038414662762 0.611977845336334 4233.001803875316000 0.634490048639331 4234.413039669508180 0.662796036029129 4235.824745954037098 0.687775463227699 4237.236922885768763 0.687543793307919 4238.649570621608291 0.676263749009473 4240.062689318514458 0.664976666510640 4241.476279133497883 0.640551258369925 4242.890340223631938 0.598726630444261 4244.304872746030014 0.553419253484852 4245.719876857863710 0.508206621028670 4247.135352716350098 0.463012095249258 4248.551300478772646 0.423303749914754 4249.967720302455746 0.406007481931316 4251.384612344778361 0.413373970779871 4252.801976763169478 0.449673183782904 4254.219813715121745 0.492998882656499 4255.638123358169651 0.534134984983437 4257.056905849901341 0.559431083452430 4258.476161347956804 0.569348612863647 4259.895890010038784 0.591871775801631 4261.316091993890041 0.620391725244986 4262.736767457312453 0.649089209608724 4264.157916558152465 0.691625249648524 4265.579539454325641 0.760007055553166 4267.001636303785745 0.829391614267545 4268.424207264542929 0.894232056687071 4269.847252494656459 0.958964190472941 4271.270772152251084 1.023613450178119 4272.694766395491570 1.088093083574179 4274.119235382599982 1.154543354431844 4275.544179271849316 1.225404226194285 4276.969598221563501 1.297157947881356 4278.395492390130130 1.365463941714919 4279.821861935978632 1.409567389820368 4281.248707017593915 1.426808778708852 4282.676027793509093 1.424318786950645 4284.103824422326397 1.414360172677184 4285.532097062683533 1.404333769083677 4286.960845873278231 1.387919091956236 4288.390071012855515 1.357421215251815 4289.819772640227711 1.326696406352164 4291.249950914245346 1.297233967883871 4292.680605993817153 1.267856763104443 4294.111738037900977 1.239763488197845 4295.543347205521059 1.216948836087072 4296.975433655738925 1.192921408576068 4298.407997547676132 1.162095202673311 4299.841039040501528 1.130353303711493 4301.274558293451264 1.098074530418994 4302.708555465801510 1.062044512400795 4304.143030716883914 1.022391408395952 4305.577984206081055 0.979545986260656 4307.013416092840998 0.935603972633109 4308.449326536651824 0.891709219744598 4309.885715697058913 0.857647859503227 4311.322583733655847 0.845557673423730 4312.759930806104421 0.853323048965471 4314.197757074106448 0.878330145940934 4315.636062697418311 0.904105374020676 4317.074847835848232 0.929265527603447 4318.514112649269919 0.952846526002825 4319.953857297598006 0.970935864210573 4321.394081940803517 0.981276742068956 4322.834786738911134 0.991128604017769 4324.275971851995564 1.002214919073504 4325.717637440196995 1.019556207955453 4327.159783663694725 1.030056713535464 4328.602410682729897 1.015246412886895 4330.045518657587309 0.993174354982406 4331.489107748622700 0.971256913514335 4332.933178116230920 0.951478140222422 4334.377729920862294 0.937134292544507 4335.822763323019899 0.934888537467391 4337.268278483270478 0.939658401792939 4338.714275562223520 0.944425184648467 4340.160754720545810 0.933779801131411 4341.607716118950520 0.901426343861770 4343.055159918222671 0.865956928901875 4344.503086279182753 0.831598197342748 4345.951495362713104 0.797252140084924 4347.400387329743353 0.765492870908832 4348.849762341269525 0.742496268831197 4350.299620558328570 0.727877638862160 4351.749962142017466 0.721345215516459 4353.200787253479575 0.716137463872044 4354.652096053927380 0.714700457334539 4356.103888704612473 0.740127792108840 4357.556165366844652 0.782524643555692 4359.008926201984650 0.835460882789269 4360.462171371458680 0.890660244304609 4361.915901036734795 0.944877916073904 4363.370115359336523 0.987767458808656 4364.824814500844695 1.018277440325303 4366.279998622888343 1.028511088744657 4367.735667887162890 1.031311071220102 4369.191822455404690 1.034165827110399 4370.648462489409212 1.036193506726889 4372.105588151020129 1.040666018883061 4373.563199602150235 1.070423657217255 4375.021297004752341 1.120690309690826 4376.479880520835650 1.171745032421373 4377.938950312460292 1.218351000232418 4379.398506541756433 1.255438755782996 4380.858549370890614 1.268763007486004 4382.319078962090316 1.257315230716054 4383.780095477632130 1.245019370671457 4385.241599079860862 1.229760426725350 4386.703589931160423 1.204230692490270 4388.166068193973842 1.172239507886099 4389.629034030795083 1.135937093295944 4391.092487604185408 1.098858544589360 4392.556429076744280 1.063240481522026 4394.020858611133917 1.046972944347972 4395.485776370063832 1.039421123222029 4396.951182516310837 1.029130717083522 4398.417077212693584 1.018194274391430 4399.883460622088933 1.004212929372040 4401.350332907425582 0.965796525381477 4402.817694231695896 0.908307186828499 4404.285544757937714 0.865314059299392 4405.753884649244355 0.828214342462582 4407.222714068760069 0.791363390054158 4408.692033179698228 0.773837079520481 4410.161842145310402 0.783345108751569 4411.632141128910007 0.790936858759920 4413.102930293863210 0.796245591201870 4414.574209803586200 0.801709620814503 4416.045979821564288 0.809766792474600 4417.518240511321892 0.822253698086285 4418.990992036444368 0.842618565402774 4420.464234560566183 0.867866514512447 4421.937968247389108 0.893523276347922 4423.412193260658569 0.920070531339933 4424.886909764175471 0.949272319862113 4426.362117921793470 0.978607147269725 4427.837817897434434 1.007407329315943 4429.314009855059339 1.036106736884673 4430.790693958689189 1.061313888071421 4432.267870372396828 1.069868428718763 4433.745539260321493 1.064633986725374 4435.223700786643349 1.045902330378619 4436.702355115603496 1.024760719869496 4438.181502411492147 1.004268279492503 4439.661142838667729 0.986652430339940 4441.141276561530503 0.976733080154876 4442.621903744539850 0.982998780748002 4444.103024552205170 0.992105477920930 4445.584639149104987 1.000420350161891 4447.066747699857842 1.001607804892871 4448.549350369142303 0.995293150392773 4450.032447321687869 0.977328969188538 4451.516038722293160 0.955941406583980 4453.000124735795907 0.934424528723708 4454.484705527094775 0.913648798947923 4455.969781261138451 0.896925836491299 4457.455352102944744 0.894811056701740 4458.941418217572391 0.899352513710686 4460.427979770141064 0.904096892319522 4461.915036925822278 0.920472972484832 4463.402589849841206 0.948570181000794 4464.890638707490325 0.983496912335076 4466.379183664103948 1.020759768823915 4467.868224885075506 1.058070857798038 4469.357762535850270 1.087260548709748 4470.847796781940815 1.099564769765388 4472.338327788902461 1.109261200903446 4473.829355722349646 1.117442671429750 4475.320880747947740 1.125601969808381 4476.812903031430324 1.139787859412430 4478.305422738573725 1.163959680792928 4479.798440035212479 1.187638686930057 4481.291955087233873 1.210100356217232 4482.785968060593405 1.232523591300282 4484.280479121286589 1.249165386473656 4485.775488435370789 1.241525080103849 4487.270996168954298 1.215717803211287 4488.767002488212711 1.190086589493670 4490.263507559365280 1.164429762280488 4491.760511548690374 1.138483287410406 4493.258014622516384 1.115932204585410 4494.756016947241733 1.108891190980468 4496.254518689307588 1.105868353598692 4497.753520015212416 1.102871982173386 4499.253021091509254 1.099623686269728 4500.753022084817530 1.095649653505511 4502.253523161799421 1.083379720109860 4503.754524489178038 1.068902325170527 4505.256026233730154 1.054187645803026 4506.758028562285290 1.039771228581384 4508.260531641741181 1.024415249052470 4509.763535639039219 1.001985745757340 4511.267040721179001 0.976916010606009 4512.771047055211966 0.951780689352215 4514.275554808260495 0.926934834205317 4515.780564147485165 0.909962889965264 4517.286075240111131 0.908944544951725 4518.792088253411748 0.911343134748506 4520.298603354732222 0.913798972879009 4521.805620711456868 0.916364002834597 4523.313140491032755 0.913951687711908 4524.821162860958793 0.916535676583488 4526.329687988800288 0.924863314324667 4527.838716042167107 0.933188259407986 4529.348247188730056 0.941444365307326 4530.858281596208144 0.951876517234704 4532.368819432394957 0.965872730862670 4533.879860865120463 0.977911132617729 4535.391406062281021 0.989933114250227 4536.903455191819376 1.001944216473734 4538.416008421751030 1.017983222055212 4539.929065920132416 1.045340047224302 4541.442627855081810 1.075911960339381 4542.956694394767510 1.106389682007488 4544.471265707428756 1.136824040859753 4545.986341961345715 1.165931394952210 4547.501923324861309 1.186120199116522 4549.018009966368481 1.202596014553708 4550.534602054330207 1.219055228431796 4552.051699757253118 1.235404111444532 4553.569303243702961 1.243199896165393 4555.087412682301874 1.227598746649612 4556.606028241723834 1.206854713228338 4558.125150090714669 1.186267499392746 4559.644778398060225 1.166084703255632 4561.164913332607284 1.147846238258048 4562.685555063256288 1.125820383181107 4564.206703758976801 1.100724666283742 4565.728359588779313 1.075614488420137 4567.250522721738889 1.050601826565996 4568.773193326977889 1.026900456394765 4570.296371573692340 1.013009164645656 4571.820057631119198 1.005734181850377 4573.344251668557263 0.998617823873159 4574.868953855356267 0.991562322041091 4576.394164360937793 0.986348890049158 4577.919883354765261 0.982698170838337 4579.446111006361207 0.977878237316758 4580.972847485303646 0.973257741488927 4582.500092961237897 0.968600109794593 4584.027847603853843 0.961421109382875 4585.556111582902304 0.930698095042201 4587.084885068185031 0.891038104967744 4588.614168229575625 0.851467495127904 4590.143961236989526 0.811953222663023 4591.674264260404016 0.776429580263707 4593.205077469848220 0.751132836768039 4594.736401035421295 0.726809528072757 4596.268235127266053 0.702486313635994 4597.800579915586241 0.678176895917621 4599.333435570641996 0.648972780564549 4600.866802262746205 0.619078485916200 4602.400680162281787 0.591027307956854 4603.935069439676226 0.563061132478450 4605.469970265416123 0.535191470375674 4607.005382810041738 0.514093567768632 4608.541307244163363 0.518025461289277 4610.077743738435856 0.528691997461951 4611.614692463572283 0.539330761755624 4613.152153590342095 0.550450853720609 4614.690127289582961 0.566815743900798 4616.228613732176200 0.581432069798010 4617.767613089064071 0.591031216387133 4619.307125531242491 0.600660315229689 4620.847151229777410 0.610145910937224 4622.387690355778432 0.623644787491054 4623.928743080417007 0.648620186569619 4625.470309574915518 0.676044660155934 4627.012390010569106 0.703367543074553 4628.554984558714750 0.730459388814851 4630.098093390753093 0.748223824539730 4631.641716678134799 0.755347322560508 4633.185854592383293 0.761608494969786 4634.730507305064748 0.767658351054083 4636.275674987808088 0.772156200940153 4637.821357812292263 0.763063708458312 4639.367555950270798 0.738112944514907 4640.914269573537240 0.712532001874185 4642.461498853950616 0.687208019369906 4644.009243963419067 0.663854785604829 4645.557505073923494 0.660013854107221 4647.106282357489363 0.669515865284788 4648.655575986203075 0.679868889339068 4650.205386132207423 0.690333187960714 4651.755712967698855 0.700571155258795 4653.306556664945674 0.716294172285470 4654.857917396258927 0.744271415665022 4656.409795334012415 0.774535294621804 4657.962190650632692 0.804754055881227 4659.515103518616343 0.834998146551725 4661.068534110505425 0.863665103162823 4662.622482598902934 0.890283183358900 4664.176949156465525 0.916797077831902 4665.731933955920795 0.943047845401466 4667.287437170039993 0.970763300754773 4668.843458971657128 1.007404145041306 4670.399999533658956 1.051802815987465 4671.957059029003176 1.095658931329965 4673.514637630692050 1.140028691869319 4675.072735511790597 1.181691668725979 4676.631352845414767 1.204621487742612 4678.190489804754179 1.215424247874729 4679.750146563042108 1.226086244039506 4681.310323293572765 1.237064331884821 4682.871020169695839 1.235223950938681 4684.432237364830144 1.192466652213884 4685.993975052440874 1.139397338833394 4687.556233406052343 1.086509868397046 4689.119012599246162 1.033640638013253 4690.682312805673064 0.988519468509575 4692.246134199029257 0.971244177568506 4693.810476953070975 0.960803016752844 4695.375341241609931 0.950390460723402 4696.940727238530599 0.939451011367431 4698.506635117758378 0.920028294800313 4700.073065053284154 0.888679121911951 4701.640017219155197 0.856531821448506 4703.207491789472442 0.824381175876505 4704.775488938410490 0.793255987168945 4706.344008840183960 0.779941817556999 4707.913051669075685 0.777127972334835 4709.482617599416699 0.774796842975706 4711.052706805614434 0.772294374277002 4712.623319462117252 0.770875155769711 4714.194455743438084 0.787254832336481 4715.766115824143526 0.809971545065206 4717.338299878871112 0.832518826192887 4718.911008082303852 0.854690036131285 4720.484240609186600 0.872246119032053 4722.057997634318781 0.875378890293491 4723.632279332570761 0.877126802902596 4725.207085878859289 0.878726276081609 4726.782417448162050 0.880646506353530 4728.358274215510392 0.882772373757679 4729.934656356011146 0.882210392280965 4731.511564044811166 0.879089314250407 4733.088997457123696 0.876237606513628 4734.666956768213822 0.873433439434898 4736.245442153419390 0.870637043406373 4737.824453788123719 0.864264455518270 4739.403991847771977 0.856049439049189 4740.984056507863897 0.847956225150162 4742.564647943971977 0.839884256702329 4744.145766331712366 0.831920737150161 4745.727411846764880 0.821812538415923 4747.309584664868453 0.811386548316607 4748.892284961814767 0.800974337992294 4750.475512913469174 0.790502941889822 4752.059268695740684 0.778888298808984 4753.643552484602878 0.774833258759374 4755.228364456081181 0.772300364778339 4756.813704786277412 0.769739202074069 4758.399573651334322 0.768059708160840 4759.985971227459231 0.783220478816635 4761.572897690914942 0.807283575188211 4763.160353218036107 0.831739173037245 4764.748337985201033 0.856127195404442 4766.336852168852602 0.881674362150796 4767.925895945487355 0.902822896476371 4769.515469491676413 0.920191546133962 4771.105572984033643 0.937461281131924 4772.696206599237485 0.954878133965418 4774.287370514020040 0.974026051105604 4775.879064905186169 0.996098941391464 4777.471289949587117 1.018053936818714 4779.064045824135974 1.039802672202594 4780.657332705801309 1.060725129417953 4782.251150771624452 1.064530592237077 4783.845500198692207 1.042864526115413 4785.440381164153223 1.005693948415542 4787.035793845211629 0.984245699131134 4788.631738419146131 0.964994646605957 4790.228215063279094 0.947704990476696 4791.825223954996545 0.920024399046895 4793.422765271738172 0.891417301666965 4795.020839191019149 0.862836884403929 4796.619445890399220 0.836284043551269 4798.218585547499970 0.817939724106931 4799.818258340003922 0.810551665980473 4801.418464445647260 0.803495083971530 4803.019204042241654 0.796462581077109 4804.620477307641522 0.790422692169197 4806.222284419765856 0.785770847549396 4807.824625556588217 0.782010716920103 4809.427500896156744 0.778259683630883 4811.030910616563233 0.775904373735187 4812.634854895964963 0.786267844014024 4814.239333912573784 0.813744517613984 4815.844347844673393 0.845233717555948 4817.449896870593875 0.876578422157591 4819.055981168730796 0.903839076424655 4820.662600917531563 0.916747540426809 4822.269756295520892 0.921799119427164 4823.877447481265335 0.925733207085824 4825.485674653397837 0.928857776380892 4827.094437990605002 0.925858760687408 4828.703737671648923 0.909488544565022 4830.313573875335351 0.890528577343463 4831.923946780535516 0.871024819211088 4833.534856566173403 0.853346729585414 4835.146303411250301 0.847549685908795 4836.758287494810247 0.849866823286423 4838.370808995962761 0.851235531213633 4839.983868093871024 0.852894715093542 4841.597464967775522 0.854526246644834 4843.211599796958581 0.853510650547437 4844.826272760768916 0.840926733423271 4846.441484038608905 0.825754894751731 4848.057233809957324 0.810581670546331 4849.673522254337513 0.798604642694285 4851.290349551335567 0.798753774416574 4852.907715880599426 0.810968649636387 4854.525621421832511 0.824045571539476 4856.144066354811002 0.836988592012413 4857.763050859357463 0.844177943955751 4859.382575115358122 0.856406642312033 4861.002639302757416 0.876466697607701 4862.623243601569811 0.896500397695597 4864.244388191859798 0.916351044607905 4865.866073253752802 0.931626567799187 4867.488298967431547 0.931742237079323 4869.111065513154244 0.926692368265180 4870.734373071221853 0.921518933030475 4872.358221822003543 0.915963901921635 4873.982611945920326 0.909246104474778 4875.607543623470519 0.901974838092037 4877.233017035197918 0.894641913128261 4878.859032361709069 0.887187838872668 4880.485589783668729 0.889952872580266 4882.112689481815323 0.897626610803965 4883.740331636932751 0.900901724997007 4885.368516429868578 0.904222673795782 4886.997244041529484 0.906851043380862 4888.626514652894002 0.901967397597915 4890.256328444987048 0.901216034507589 4891.886685598899930 0.903353322586445 4893.517586295777619 0.905551832453828 4895.149030716841480 0.906006341159190 4896.781019043358356 0.902549614034762 4898.413551456660571 0.899428295304143 4900.046628138139567 0.896464308892292 4901.680249269244086 0.893485327029031 4903.314415031497447 0.896647552844884 4904.949125606469352 0.906649083229816 4906.584381175793169 0.917694446687007 4908.220181921158655 0.928702613767385 4909.856528024332874 0.938896202385043 4911.493419667126545 0.939650306947390 4913.130857031415871 0.924404278668926 4914.768840299133444 0.904643068253207 4916.407369652289162 0.884910657438295 4918.046445272933852 0.867170165480204 4919.686067343190189 0.857738342992668 4921.326236045230871 0.857073572771305 4922.966951561307724 0.857052842693469 4924.608214073718045 0.857102557865751 4926.250023764823709 0.856162736972997 4927.892380817042977 0.857796986945351 4929.535285412870508 0.862265663914104 4931.178737734846436 0.866916562256293 4932.822737965575470 0.871169239125973 4934.467286287719617 0.872282531585790 4936.112382884017279 0.864768140198775 4937.758027937250517 0.855657778499138 4939.404221630271422 0.846346954817695 4941.050964145982107 0.836090359625976 4942.698255667366539 0.827805410012221 4944.346096377450522 0.825097325261981 4945.994486459328073 0.822386905239939 4947.643426096148687 0.820440406188790 4949.292915471138258 0.830631964092030 4950.942954767568153 0.844239175958329 4952.593544168775225 0.855547758150519 4954.244683858159988 0.866810250271467 4955.896374019174800 0.877820631873876 4957.548614835353874 0.888990531277188 4959.201406490272348 0.901486116373977 4960.854749167574482 0.914088221334383 4962.508643050960018 0.926719350784802 4964.163088324204182 0.932466442985639 4965.818085171131315 0.932384968665836 4967.473633775627604 0.932567245504600 4969.129734321639262 0.932737546724762 4970.786386993186170 0.933822329125732 4972.443591974338233 0.939894333954476 4974.101349449227200 0.949427244154113 4975.759659602043030 0.959468623067685 4977.418522617054805 0.969693610552498 4979.077938678573446 0.981301304010103 4980.737907970979904 0.987573421660249 4982.398430678708792 0.981890391983331 4984.059506986273846 0.829344313504948 4985.721137078233369 0.825441822864620 4987.383321139213876 0.822956078097325 4989.046059353896453 0.821536655168869 4990.709351907040400 0.820355426285667 4992.373198983450493 0.819119628399436 4994.037600767998811 0.819898681972390 4995.702557445614730 0.828791367419798 4997.368069201302205 0.846451577947849 4999.034136220114306 0.864478641744434 5000.700758687167763 0.882357746900552 5002.367936787644794 0.895353805491825 5004.035670706781275 0.901868506935466 5005.703960629891299 0.906182726277194 5007.372806742336252 0.910496122792723 5009.042209229542095 0.914313051110172 5010.712168276992998 0.915255854489112 5012.382684070251344 0.913128814831028 5014.053756794924084 0.910615864931887 5015.725386636685471 0.908339652574575 5017.397573781267965 0.910629586264634 5019.070318414480425 0.916464696106789 5020.743620722177184 0.921754059872241 5022.417480890281695 0.927042175181004 5024.091899104772892 0.933002181606656 5025.766875551708836 0.940730810896737 5027.442410417190331 0.944580782491063 5029.118503887390034 0.947352036162579 5030.795156148533351 0.950140597547953 5032.472367386927544 0.954544713467729 5034.150137788923530 0.965800705288696 5035.828467540939528 0.980441590719993 5037.507356829451965 0.995229293506564 5039.186805841014575 1.009512560077594 5040.866814762227477 1.021352267723182 5042.547383779758093 1.033894931373447 5044.228513080332050 1.046813213772537 5045.910202850750466 1.059760966453715 5047.592453277863569 1.070277751736636 5049.275264548587074 1.072190245811713 5050.958636849896720 1.069139951651928 5052.642570368841916 1.065885938104919 5054.327065292523002 1.061918374703966 5056.012121808105803 1.051796624481534 5057.697740102817988 1.036177351660460 5059.383920363945435 1.019673132503421 5061.070662778852238 1.003186747955197 5062.757967534949785 0.991038943589893 5064.445834819714946 0.983725312688058 5066.134264820683711 0.974688725786842 5067.823257725471194 0.965658396726303 5069.512813721736165 0.957213059243171 5071.202932997207427 0.956222063040371 5072.893615739671986 0.960616735562263 5074.584862136993252 0.965915285347246 5076.276672377081923 0.971208753395539 5077.969046647916912 0.977843151623702 5079.661985137535339 0.989271944888661 5081.355488034050722 1.004349873245818 5083.049555525626602 1.019463818631409 5084.744187800491090 1.031367154678448 5086.439385046932330 1.032876995122581 5088.135147453314858 1.037050571583632 5089.831475208053234 1.045621294711028 5091.528368499627504 1.055460236958295 5093.225827516575919 1.070672091873422 5094.923852447514946 1.085936378978275 5096.622443481110167 1.094018999722132 5098.321600806092647 1.099443634992104 5100.021324611253476 1.104770458235403 5101.721615085461053 1.109891751343791 5103.422472417631070 1.111262340916710 5105.123896796747431 1.107065320437164 5106.825888411852247 1.103272841406279 5108.528447452065848 1.101052297875609 5110.231574106557673 1.098712645683538 5111.935268564562648 1.094158846240285 5113.639531015380271 1.089255086507069 5115.344361648368249 1.087530728699255 5117.049760652962505 1.089294315425031 5118.755728218646254 1.097982808787872 5120.462264534971837 1.112812632819218 5122.169369791548888 1.126820813074599 5123.877044178067081 1.136324215387550 5125.585287884261561 1.143631297707763 5127.294101099937507 1.145602205811240 5129.003484014958303 1.146306424660879 5130.713436819265553 1.140661718269954 5132.423959702849061 1.131027454483102 5134.135052855766844 1.121506866875041 5135.846716468135128 1.112084703053406 5137.558950730148354 1.105031331449886 5139.271755832050985 1.103786786096114 5140.985131964152970 1.103008926151578 5142.699079316826101 1.100600262004405 5144.413598080518568 1.098096972503525 5146.128688445727676 1.098394863219269 5147.844350603018029 1.099698926164347 5149.560584743013351 1.096753146074003 5151.277391056418310 1.091285791626109 5152.994769733983048 1.085256032923602 5154.712720966526831 1.077850484624542 5156.431244944929858 1.072568722674474 5158.150341860147819 1.071019447628326 5159.870011903186423 1.070464573476132 5161.590255265120504 1.072389703779283 5163.311072137088559 1.076026703322925 5165.032462710287291 1.087091958418067 5166.754427175992532 1.100606267874719 5168.476965725527407 1.110913869000060 5170.200078550286889 1.117532869703778 5171.923765841721433 1.120114191580437 5173.648027791363347 1.117808401696411 5175.372864590790414 1.115785689993043 5177.098276431653176 1.115415979170181 5178.824263505657655 1.114783473121426 5180.550826004589908 1.111173952113798 5182.277964120286924 1.106963538940775 5184.005678044652086 1.103216061349123 5185.733967969646983 1.100017642205601 5187.462834087316878 1.098105201175464 5189.192276589750691 1.097082075027305 5190.922295669110099 1.095914224674306 5192.652891517613170 1.094514650725997 5194.384064327558917 1.091892097393849 5196.115814291295464 1.086965603654899 5197.848141601238240 1.082246747269533 5199.581046449864516 1.082050400080762 5201.314529029727964 1.084148937588151 5203.048589533434097 1.090827286157572 5204.783228153654818 1.099317474779105 5206.518445083123879 1.106701677488307 5208.254240514652338 1.112936629711127 5209.990614641102184 1.117928733081875 5211.727567655403618 1.121515379126757 5213.465099750545050 1.122087740510328 5215.203211119597654 1.111676900416378 5216.941901955678986 1.099093233211705 5218.681172451977545 1.085928205096514 5220.421022801744584 1.072432947413326 5222.161453198292293 1.056978255594490 5223.902463835011986 1.040199207102956 5225.644054905344092 1.023829095090069 5227.386226602799070 1.007608943537782 5229.128979120945587 0.994012274804217 5230.872312653434165 0.984668104933647 5232.616227393962617 0.973061634497222 5234.360723536299702 0.957610751321646 5236.105801274272380 0.942954506226583 5237.851460801789472 0.933834210207537 5239.597702312807087 0.926542730126303 5241.344526001354097 0.920847115424465 5243.091932061513944 0.915106984403661 5244.839920687454651 0.904289137025784 5246.588492073392445 0.889508125313262 5248.337646413612674 0.884443152018634 5250.087383902459806 0.885644975271760 5251.837704734360159 0.887896723565521 5253.588609103789167 0.892634215755240 5255.340097205291386 0.898710427051893 5257.092169233470486 0.906790896511947 5258.844825383013813 0.915672821669247 5260.598065848653277 0.928039870715940 5262.351890825193550 0.940331812781665 5264.106300507501146 0.947675101095859 5265.861295090518979 0.953683688371283 5267.616874769240894 0.961787504798045 5269.373039738733496 0.971181067412127 5271.129790194117959 0.976122410679711 5272.887126330601859 0.977578918470872 5274.645048343438248 0.975701345331997 5276.403556427952935 0.964928413526087 5278.162650779533578 0.957429448927519 5279.922331593632407 0.955722342697957 5281.682599065778049 0.955225807798109 5283.443453391550975 0.958083004869709 5285.204894766602592 0.961386983609147 5286.966923386642520 0.962158827586785 5288.729539447462230 0.962381755383608 5290.492743144902306 0.967074473607238 5292.256534674876093 0.974480810690040 5294.020914233353324 0.979195444279014 5295.785882016387404 0.981855759575685 5297.551438220079945 0.983415630641806 5299.317583040604404 0.982699422014190 5301.084316674194270 0.980374237484836 5302.851639317163063 0.975845220634215 5304.619551165875237 0.971339480815409 5306.388052416765277 0.967891326807314 5308.157143266328603 0.966687867679577 5309.926823911140673 0.974565831618213 5311.697094547826055 0.983989944683314 5313.467955373083896 0.990477502919077 5315.239406583670643 0.995135336294701 5317.011448376424596 0.996828331748824 5318.784080948233168 0.996878488598433 5320.557304496056531 0.996198757754647 5322.331119216913066 0.994289456484690 5324.105525307905737 0.988677304974486 5325.880522966184799 0.979248777422712 5327.656112388971451 0.971694774364900 5329.432293773553283 0.971118448963840 5331.209067317279732 0.972498856351764 5332.986433217579361 0.976304873593145 5334.764391671933481 0.980750173673050 5336.542942877891619 0.988975193550904 5338.322087033065145 0.998368299537174 5340.101824335149104 1.006766456977657 5341.882154981885833 1.014632414851694 5343.663079171088611 1.019628120064150 5345.444597100634383 1.021691908434969 5347.226708968479215 1.026655636751359 5349.009414972631930 1.033362552389299 5350.792715311167740 1.040023972645141 5352.576610182228251 1.046415743230907 5354.361099784034195 1.053435500792974 5356.146184314857237 1.058987743619292 5357.931863973039071 1.063252835614995 5359.718138956983239 1.067519349069917 5361.505009465176954 1.069836665097200 5363.292475696154725 1.066653771838741 5365.080537848523818 1.064563340875303 5366.869196120953347 1.062571561628400 5368.658450712192462 1.060223427429114 5370.448301821043060 1.054816969041137 5372.238749646377983 1.050581753576797 5374.029794387128277 1.046569096336135 5375.821436242312302 1.042777642013628 5377.613675410993892 1.040203032779420 5379.406512092312369 1.028252977828002 5381.199946485465262 1.013066182135147 5382.993978789734683 0.995077046331966 5384.788609204451859 0.982160583724654 5386.583837929018955 0.977627660025217 5388.379665162907258 0.974114276799080 5390.176091105648084 0.971574204414966 5391.973115956854599 0.972328759002563 5393.770739916189996 0.975424005921668 5395.568963183390224 0.978994424686400 5397.367785958253990 0.982027217446860 5399.167208440660943 0.981794354517719 5400.967230830539847 0.976187344048462 5402.767853327895864 0.968492640592641 5404.569076132790542 0.960614527284941 5406.370899445370924 0.950555858660992 5408.173323465834983 0.939109078647156 5409.976348394451634 0.927371990051499 5411.779974431551636 0.915955676049850 5413.584201777548515 0.912692173876417 5415.389030632906724 0.919839504074534 5417.194461198163481 0.931158818531279 5419.000493673915116 0.942578694098532 5420.807128260844365 0.950040297266502 5422.614365159682166 0.951357965990160 5424.422204571232214 0.952100557178455 5426.230646696361873 0.952849216971111 5428.039691736017630 0.952977427817735 5429.849339891201453 0.950310891949189 5431.659591362983520 0.944705177518372 5433.470446352497675 0.938207371957306 5435.281905060961435 0.932371830269743 5437.093967689643250 0.931727119143737 5438.906634439882509 0.931694902548457 5440.719905513086815 0.931264866900424 5442.533781110723794 0.930858490899757 5444.348261434349297 0.930837236787043 5446.163346685563738 0.932219310165540 5447.979037066045748 0.934922026255931 5449.795332777530348 0.937586033458601 5451.612234021842596 0.936945695095166 5453.429741000852118 0.935924332641005 5455.247853916505846 0.939547211609483 5457.066572970808920 0.943484135447413 5458.885898365853791 0.947443142917283 5460.705830303782932 0.950335965913874 5462.526368986808848 0.949988206300879 5464.347514617209526 0.949245189094904 5466.169267397344811 0.949419087536245 5467.991627529627294 0.952504652547650 5469.814595216540511 0.955944295948272 5471.638170660630749 0.959465441001138 5473.462354064528881 0.963154306662187 5475.287145630916712 0.967762785226939 5477.112545562547893 0.972446054079645 5478.938554062240655 0.977139355398779 5480.765171332895079 0.981634492210947 5482.592397577462179 0.984335293163807 5484.420232998969368 0.984310933662658 5486.248677800501355 0.982721430752944 5488.077732185231071 0.981045393535028 5489.907396356381469 0.974423338652830 5491.737670517248262 0.964940157744019 5493.568554871189917 0.955383942477944 5495.400049621647668 0.945883171313767 5497.232154972117314 0.938506526964564 5499.064871126165599 0.935141429871472 5500.898198287427476 0.934995335710845 5502.732136659599746 0.934860785881575 5504.566686446465610 0.934744805521823 5506.401847851858292 0.934848876772279 5508.237621079682867 0.935681524533472 5510.074006333910802 0.936605013771440 5511.911003818595418 0.937610553078703 5513.748613737840969 0.938419858676390 5515.586836295828107 0.937721054407952 5517.425671696795689 0.936713567608906 5519.265120145071705 0.936396605951169 5521.105181845034167 0.939214187350719 5522.945857001133845 0.948421143214946 5524.787145817883356 0.959441254826919 5526.629048499882629 0.970465196030217 5528.471565251782522 0.981078474575457 5530.314696278306656 0.988041299548471 5532.158441784240495 0.992914856822297 5534.002801974457725 0.997627216402706 5535.847777053881146 0.998875791030840 5537.693367227507224 0.996947461026323 5539.539572700396093 0.993705128728870 5541.386393677693377 0.990315107277267 5543.233830364596542 0.986397252552480 5545.081882966374906 0.985883726559728 5546.930551688361447 0.990057735956356 5548.779836735978279 0.994134441131097 5550.629738314692077 0.999483349481223 5552.480256630050462 1.006753308097360 5554.331391887658356 1.015429511394928 5556.183144293210717 1.024090676402566 5558.035514052451617 1.029423105272849 5559.888501371199709 1.030638995526918 5561.742106455342764 1.033715100621205 5563.596329510830401 1.036800596277909 5565.451170743699549 1.042259992058847 5567.306630360038071 1.049612164557156 5569.162708566007495 1.052066717694614 5571.019405567834838 1.053865349434667 5572.876721571828966 1.056577372999675 5574.734656784352410 1.061697887748114 5576.593211411844095 1.067277451092275 5578.452385660804794 1.073010316394721 5580.312179737818951 1.076890880529940 5582.172593849525583 1.075109449954761 5584.033628202636464 1.075684718768533 5585.895283003928853 1.077008327509871 5587.757558460264590 1.077935759089548 5589.620454778556450 1.076926476022731 5591.483972165794512 1.075235933743740 5593.348110829028883 1.073400834235355 5595.212870975397891 1.071166176879878 5597.078252812091705 1.066913985630329 5598.944256546375073 1.061251265311775 5600.810882385575496 1.055125039392780 5602.678130537107791 1.049406899828548 5604.546001208438611 1.049452223955731 5606.414494607108281 1.049794018045469 5608.283610940721701 1.049489421426322 5610.153350416971080 1.049184648786720 5612.023713243597740 1.048710320907906 5613.894699628420312 1.049539909684913 5615.766309779326548 1.051437077886584 5617.638543904266953 1.053381211262145 5619.511402211279346 1.052244616643364 5621.384884908454296 1.050775662005638 5623.258992203955131 1.050077197697564 5625.133724306009753 1.049452530731007 5627.009081422935196 1.049193389212173 5628.885063763097605 1.048610990844711 5630.761671534939524 1.047499563208105 5632.638904946967159 1.046417106230322 5634.516764207773122 1.046230742817202 5636.395249526003681 1.043246980355594 5638.274361110377868 1.036393897095027 5640.154099169682013 1.029394758970432 5642.034463912787032 1.023409344800151 5643.915455548614773 1.019323270658681 5645.797074286166207 1.016654004247016 5647.679320334504155 1.013991584495357 5649.562193902777835 1.010027398704521 5651.445695200189220 1.006257563342052 5653.329824436017589 1.005450751357027 5655.214581819604973 1.004621209006201 5657.099967560378900 1.002966754974597 5658.985981867821465 1.000142961910729 5660.872624951491161 0.996735374880224 5662.759897021007419 0.993175571395019 5664.647798286079706 0.990167573730452 5666.536328956468424 0.988907253141033 5668.425489242010372 0.990138580851959 5670.315279352606922 0.991568620858725 5672.205699498246759 0.996207477640515 5674.096749888969498 1.003817299492007 5675.988430734892063 1.009022779389560 5677.880742246202317 1.014104173759228 5679.773684633150879 1.018189827216207 5681.667258106075678 1.022851705890138 5683.561462875368306 1.031928404152343 5685.456299151495841 1.040757888296244 5687.351767144990845 1.049384928732565 5689.247867066470462 1.050230972376544 5691.144599126608227 1.048445738427137 5693.041963536152252 1.046665639616461 5694.939960505914314 1.045316748437387 5696.838590246794411 1.049134698631207 5698.737852969746200 1.055925682543153 5700.637748885797919 1.062722866706263 5702.538278206045106 1.069000934345668 5704.439441141667885 1.068992811862797 5706.341237903900947 1.065909978068437 5708.243668704055381 1.062745114065580 5710.146733753505941 1.059856982396273 5712.050433263717423 1.058270835317555 5713.954767446203732 1.057054619826071 5715.859736512559721 1.055747408841887 5717.765340674442086 1.054327414496915 5719.671580143596657 1.052173940892803 5721.578455131821102 1.050209480626536 5723.485965850990397 1.048331336603256 5725.394112513045002 1.046444488599184 5727.302895330012689 1.043955787047296 5729.212314513975798 1.040157991036559 5731.122370277089431 1.036447987220659 5733.033062831578718 1.032269458039763 5734.944392389752466 1.024854819797649 5736.856359163976776 1.016525317944637 5738.768963366690514 1.008226131239290 5740.682205210406210 1.000548624712682 5742.596084907700060 0.997522356462948 5744.510602671238303 0.996484210696488 5746.425758713737196 0.995439096667583 5748.341553247993033 0.994266852292996 5750.257986486866685 0.991968757519365 5752.175058643305420 0.988949671623295 5754.092769930312897 0.985922803473796 5756.011120560966447 0.982436693677644 5757.930110748412517 0.977825161563972 5759.849740705882141 0.973128390054671 5761.770010646661831 0.968334734499288 5763.690920784115406 0.964490965386114 5765.612471331671259 0.965629957430988 5767.534662502846913 0.968021962177973 5769.457494511213554 0.970387017816119 5771.380967570418761 0.972305846766133 5773.305081894175601 0.970832726433764 5775.229837696287177 0.968403948282872 5777.155235190608437 0.966062232697791 5779.081274591073452 0.963581107803324 5781.007956111679960 0.960373557050099 5782.935279966514827 0.956916033551297 5784.863246369721310 0.953560311920964 5786.791855535515424 0.950575148805611 5788.721107678184126 0.948819455967023 5790.651003012097135 0.947227257382135 5792.581541751684199 0.945628870630120 5794.512724111447824 0.943570760387712 5796.444550305965095 0.941430042182867 5798.377020549875851 0.939399063108122 5800.310135057912703 0.937323537132737 5802.243894044860099 0.935835527877928 5804.178297725578886 0.936569353596601 5806.113346314996306 0.937639117413602 5808.049040028132367 0.938598149246422 5809.985379080056191 0.939929669722618 5811.922363685916935 0.941939833868885 5813.859994060929239 0.943939108397403 5815.798270420396875 0.945855076544128 5817.737192979679094 0.948151095922117 5819.676761954210633 0.951266117772131 5821.616977559493534 0.954390711204236 5823.557840011118969 0.957549627615450 5825.499349524732679 0.960687916133562 5827.441506316057712 0.963217063387906 5829.384310600884419 0.965653890981852 5831.327762595090462 0.968120547692078 5833.271862514608074 0.970081843859108 5835.216610575451341 0.971802231008262 5837.162006993696195 0.973713069653824 5839.108051985507700 0.975610142643434 5841.054745767110035 0.977637699853719 5843.002088554800139 0.980266882134334 5844.950080564945893 0.982963160966784 5846.898722014000668 0.985600859594811 5848.848013118475137 0.983289666020578 5850.797954094957277 0.976204451130679 5852.748545160100548 0.969132735309123 5854.699786530650272 0.962001719514078 5856.651678423404519 0.953325351142112 5858.604221055240487 0.943835750240877 5860.557414643106313 0.934356752857426 5862.511259404018347 0.925111133633803 5864.465755555082069 0.918413355351661 5866.420903313458439 0.912789247248096 5868.376702896385723 0.907179998656490 5870.333154521169490 0.901846842767119 5872.290258405203531 0.899187860945369 5874.248014765938933 0.897962110379931 5876.206423820905002 0.896750610533972 5878.165485787696525 0.894695906511174 5880.125200883996513 0.887711023367629 5882.085569327548910 0.879663592103215 5884.046591336169513 0.871689415460119 5886.008267127745967 0.865572492353605 5887.970596920252319 0.863599970116859 5889.933580931719916 0.862091963336354 5891.897219380258321 0.860603795892778 5893.861512484043487 0.858905640334415 5895.826460461341412 0.856261391042394 5897.792063530474479 0.853502025246652 5899.758321909843289 0.850745380343957 5901.725235817914836 0.846663035026636 5903.692805473247063 0.839744819820862 5905.661031094452483 0.832843511277116 5907.629912900221825 0.825912688636950 5909.599451109315851 0.817699611565313 5911.569645940582632 0.809655575803822 5913.540497612928448 0.801643961805354 5915.512006345334157 0.793606886946167 5917.484172356858835 0.789333852206842 5919.456995866625221 0.787226568074136 5921.430477093847003 0.785127356911110 5923.404616257794260 0.783243110211569 5925.379413577817104 0.780368555891846 5927.354869273329314 0.776653906664958 5929.330983563839254 0.772979020723158 5931.307756668909860 0.769931428974360 5933.285188808181374 0.771106411168179 5935.263280201363159 0.773587833682011 5937.242031068253709 0.776137799322837 5939.221441628709727 0.779502943273254 5941.201512102666129 0.786525430588746 5943.182242710123319 0.794158915625483 5945.163633671176285 0.801794710730957 5947.145685205970949 0.807151350650795 5949.128397534737815 0.807516808070233 5951.111770877771050 0.807395259952397 5953.095805455456684 0.807262924314655 5955.080501488238951 0.804429907641885 5957.065859196638485 0.797213737317990 5959.051878801244129 0.789631635392863 5961.038560522737498 0.782095476059819 5963.025904581854775 0.781015746468836 5965.013911199412178 0.785988376817716 5967.002580596294138 0.791086373164167 5968.991912993473306 0.795937718233214 5970.981908611984181 0.797869164406200 5972.972567672934019 0.798148272555490 5974.963890397502837 0.798454043344162 5976.955877006960691 0.798594078409863 5978.948527722634026 0.797952377038039 5980.941842765925685 0.798004691609431 5982.935822358318546 0.797917920915119 5984.930466721358243 0.795317969816347 5986.925776076684997 0.791341966823007 5988.921750645991779 0.787755106073717 5990.918390651056143 0.784096617082084 5992.915696313718399 0.779661740514158 5994.913667855915264 0.777918834620221 5996.912305499636204 0.777793561743020 5998.911609466953450 0.777272398673560 6000.911579980005627 0.772934226647157 6002.912217261022306 0.762720410308257 6004.913521532293089 0.751479317502934 6006.915493016182154 0.741245825249410 6008.918131935126439 0.736625842556574 6010.921438511652923 0.733639680663733 6012.925412968345881 0.730742890710724 6014.930055527868717 0.729973135120519 6016.935366412952135 0.733660081501087 6018.941345846424156 0.737361895106519 6020.947994051161004 0.741007428038543 6022.955311250127124 0.743623630118925 6024.963297666348808 0.747232257624226 6026.971953522950571 0.752440893021567 6028.981279043107861 0.757668967342711 6030.991274450080709 0.761044415033557 6033.001939967194630 0.764585398517242 6035.013275817869726 0.768645506766388 6037.025282225582487 0.772425608384487 6039.037959413888530 0.773847886706624 6041.051307606411683 0.777593866525346 6043.065327026870364 0.782078821108553 6045.080017899037557 0.786631645683001 6047.095380446769923 0.789804153787460 6049.111414893994151 0.787585516246235 6051.128121464709693 0.785162513279088 6053.145500383006947 0.780842501143430 6055.163551873030883 0.768841525042267 6057.182276159012872 0.752460282977904 6059.201673465247950 0.736098506883724 6061.221744016124831 0.721882910557144 6063.242488036091345 0.711248271217304 6065.263905749673540 0.701486583368885 6067.285997381467496 0.691823429361155 6069.308763156162968 0.684895287650033 6071.332203298504282 0.681466380241661 6073.356318033319440 0.678652966436262 6075.381107585502832 0.675853969631315 6077.406572180045259 0.674066533719999 6079.432712041989362 0.675321479161288 6081.459527396464182 0.676964867576101 6083.487018468663337 0.677384144904068 6085.515185483877758 0.674753171038773 6087.544028667452039 0.671567956568037 6089.573548244813537 0.668401881912800 6091.603744441458730 0.665853273685855 6093.634617482976864 0.667564368407578 6095.666167595013576 0.672107447143640 6097.698395003298174 0.676748814852760 6099.731299933626360 0.682471923565806 6101.764882611889334 0.685951960382224 6103.799143264033773 0.688417541989311 6105.834082116090940 0.691777820582722 6107.869699394162126 0.699872975905188 6109.905995324423202 0.706387142561514 6111.942970133139170 0.712590630451312 6113.980624046636876 0.717783922502139 6116.018957291322295 0.719861105495892 6118.057970093667791 0.721780736655609 6120.097662680245776 0.723726672274830 6122.138035277681411 0.726816881197610 6124.179088112682621 0.733852714213667 6126.220821412027362 0.742750027614084 6128.263235402586361 0.751716555837616 6130.306330311289457 0.761806674497874 6132.350106365146530 0.771656269703634 6134.394563791237488 0.781220932113965 6136.439702816736826 0.791550591837968 6138.485523668876340 0.805275038832717 6140.532026574970587 0.817956046465100 6142.579211762399609 0.830457714240467 6144.627079458642584 0.845495552313593 6146.675629891235076 0.861798433509395 6148.724863287791777 0.874376937612491 6150.774779876000139 0.886802456578686 6152.825379883641290 0.895603276331661 6154.876663538552748 0.904678937774361 6156.928631068656614 0.914987335971760 6158.981282701940472 0.925288622316494 6161.034618666491042 0.935308115425539 6163.088639190449612 0.943586173307592 6165.143344502042055 0.951529911125796 6167.198734829560635 0.958951745508086 6169.254810401396753 0.964233324312469 6171.311571445995469 0.968179204046234 6173.369018191886425 0.972020042944864 6175.427150867673845 0.978094216424924 6177.485969702034708 0.983584879990859 6179.545474923737856 0.987005711219385 6181.605666761610337 0.990389711543452 6183.666545444564690 0.991995197078269 6185.728111201578940 0.987471171641043 6187.790364261729337 0.981528889052958 6189.853304854148519 0.976350814536172 6191.916933208052797 0.976287861501711 6193.981249552727604 0.981257022926414 6196.046254117553872 0.986600856043488 6198.111947131969828 0.990809913429476 6200.178328825497374 0.993207247404210 6202.245399427729353 0.995449411915583 6204.313159168350467 0.997880551972687 6206.381608277107262 1.004746004389172 6208.450746983827230 1.015630394117038 6210.520575518407895 1.027084773523907 6212.591094110843187 1.038613492847630 6214.662302991183424 1.049707906442609 6216.734202389563507 1.057037907023624 6218.806792536189278 1.064136545375749 6220.880073661360257 1.071026637093354 6222.954045995434171 1.077943151766984 6225.028709768853332 1.085820223366208 6227.104065212129171 1.093769515083189 6229.180112555869528 1.099576536363127 6231.256852030739537 1.101014039468325 6233.334283867488921 1.101123686274431 6235.412408296935610 1.101464221454944 6237.491225549996670 1.104323293385441 6239.570735857645559 1.110080743331944 6241.650939450937585 1.115978042140100 6243.731836561006276 1.119716150748934 6245.813427419057916 1.115712644936703 6247.895712256391562 1.107699771949097 6249.978691304366293 1.099688816672353 6252.062364794424866 1.092525555152107 6254.146732958078246 1.085723993037897 6256.231796026937445 1.078742587180460 6258.317554232669863 1.072384950846070 6260.404007807026574 1.069992340191506 6262.491156981826862 1.069097612088728 6264.579001988991877 1.068272495416334 6266.667543060497337 1.067740371339079 6268.756780428401726 1.068924775080995 6270.846714324838103 1.071736918615668 6272.937344982033210 1.074709836875684 6275.028672632272901 1.079155447341992 6277.120697507927616 1.082741500665606 6279.213419841436917 1.085722990685363 6281.306839865339498 1.091605353996258 6283.400957812230445 1.094116774735598 6285.495773914790334 1.101470313909640 6287.591288405768864 1.110394559412278 6289.687501518014869 1.112929267146264 6291.784413484434481 1.113623296906193 6293.882024538017504 1.113299928053670 6295.980334911825594 1.113449320221937 6298.079344839016812 1.115095428814727 6300.179054552808338 1.114626704492233 6302.279464286501934 1.111583069479387 6304.380574273474849 1.109483485156772 6306.482384747179822 1.108064034581075 6308.584895941161449 1.106255339803213 6310.688108089027082 1.104236287586991 6312.792021424466839 1.101544132404481 6314.896636181241774 1.098038165192174 6317.001952593212991 1.092703784540720 6319.107970894295249 1.087312861934868 6321.214691318492441 1.082134610615191 6323.322114099877581 1.077142815265540 6325.430239472620997 1.072535705478022 6327.539067670953955 1.074050619094423 6329.648598929189575 1.079141112211951 6331.758833481713737 1.090708075329817 6333.869771563010545 1.103332395161982 6335.981413407621403 1.115237228217896 6338.093759250174116 1.126235639135918 6340.206809325366521 1.135854662489490 6342.320563867995588 1.145443753980489 6344.435023112914678 1.155018345772535 6346.550187295066280 1.163451038956191 6348.666056649461098 1.171484056588888 6350.782631411208058 1.180769621140284 6352.899911815476116 1.190577475160834 6355.017898097518810 1.201057355205022 6357.136590492661526 1.210579604809900 6359.255989236326968 1.217796032674239 6361.376094563997867 1.224803719146016 6363.496906711241536 1.231668187953546 6365.618425913697138 1.239685558655987 6367.740652407102061 1.247338891814744 6369.863586427252812 1.248258648206027 6371.987228210030480 1.246465812647886 6374.111577991396189 1.239826368547827 6376.236636007381094 1.233010470804335 6378.362402494116395 1.226786949717806 6380.488877687792410 1.219393566400904 6382.616061824683129 1.210766483283550 6384.743955141136212 1.202052119269144 6386.872557873597543 1.193410907003883 6389.001870258572126 1.185270286440487 6391.131892532649545 1.176854824332261 6393.262624932493054 1.167153605672527 6395.394067694864134 1.159715486798624 6397.526221056581562 1.156424528286450 6399.659085254553247 1.155145617642588 6401.792660525756219 1.155502033720123 6403.926947107267551 1.159630472559688 6406.061945236225256 1.165050481906138 6408.197655149849197 1.168975067533149 6410.334077085435638 1.170965543577152 6412.471211280376338 1.168600253101031 6414.609057972124901 1.168898725303652 6416.747617398219518 1.172532351601566 6418.886889796272953 1.174828762708133 6421.026875403993472 1.176463367911060 6423.167574459150273 1.179932311836305 6425.308987199600779 1.183980747834072 6427.451113863271530 1.188668972668935 6429.593954688190934 1.193165555987518 6431.737509912444693 1.197206740383437 6433.881779774206734 1.201515873747870 6436.026764511728288 1.205937306693810 6438.172464363335166 1.205481482376529 6440.318879567450495 1.202986324376538 6442.466010362559246 1.197419637170038 6444.613856987231884 1.189785239727905 6446.762419680110725 1.178304478733787 6448.911698679938127 1.165888934697613 6451.061694225516476 1.152668371211864 6453.212406555734560 1.143512106039665 6455.363835909553018 1.136301493706179 6457.515982526033440 1.125787784936711 6459.668846644295627 1.114635212298972 6461.822428503548508 1.105220697371328 6463.976728343070135 1.096530238049205 6466.131746402243152 1.089138735429468 6468.287482920503862 1.081241967657667 6470.443938137381338 1.073243774378846 6472.601112292473772 1.068654478366156 6474.759005625482132 1.065390965019003 6476.917618376162864 1.061703161762955 6479.076950784364271 1.058632608428579 6481.237003090004691 1.057051262682315 6483.397775533103413 1.057696763199743 6485.559268353737934 1.060360670150998 6487.721481792077611 1.065589598379669 6489.884416088358194 1.072149938333356 6492.048071482920932 1.079980961694123 6494.212448216165285 1.087509171147315 6496.377546528578023 1.093633709481424 6498.543366660716856 1.101943348320122 6500.709908853243178 1.112703808757538 6502.877173346878408 1.124876726105522 6505.045160382427639 1.137558240342467 6507.213870200778729 1.148759092244647 6509.383303042893203 1.161328970110172 6511.553459149832634 1.179625788383848 6513.724338762719526 1.196148127586234 6515.895942122760971 1.209491840108378 6518.068269471241365 1.216384953969542 6520.241321049541511 1.218739284605837 6522.415097099107697 1.219459478840940 6524.589597861468064 1.219047476261446 6526.764823578228970 1.215488817735881 6528.940774491094089 1.210173128365689 6531.117450841829850 1.202684010490901 6533.294852872289994 1.196672734716677 6535.472980824399201 1.191886228835764 6537.651834940187655 1.188670173145270 6539.831415461741926 1.185590027553983 6542.011722631237717 1.181794681247011 6544.192756690924398 1.177034683212210 6546.374517883154112 1.171126912711990 6548.557006450335393 1.170657558865054 6550.740222634969541 1.172919862508017 6552.924166679628797 1.169130496703982 6555.108838826986357 1.163447977340627 6557.294239319777262 1.155452055501039 6559.480368400823863 1.151980085131914 6561.667226313022184 1.154835864195694 6563.854813299371017 1.155758649282941 6566.043129602927365 1.155788536432623 6568.232175466838271 1.158901044075302 6570.421951134324445 1.162067167914300 6572.612456848707552 1.162638749061568 6574.803692853370194 1.161972092117407 6576.995659391783192 1.160082836142694 6579.188356707498315 1.162916133304435 6581.381785044142816 1.168003134145603 6583.575944645443087 1.173481954571864 6585.770835755188273 1.179474345948121 6587.966458617255739 1.185548194042614 6590.162813475595613 1.190389802732361 6592.359900574262610 1.187924537159358 6594.557720157368749 1.181395737711277 6596.756272469117903 1.174794156687083 6598.955557753786707 1.170058993703592 6601.155576255752749 1.170661577780426 6603.356328219455463 1.173344163162584 6605.557813889425233 1.176612596510611 6607.760033510262474 1.181709965569720 6609.962987326672192 1.185816243848702 6612.166675583421238 1.189800244957924 6614.371098525362868 1.195843956882503 6616.576256397426732 1.200555258806384 6618.782149444643437 1.204466088105980 6620.988777912106343 1.206715968387585 6623.196142044996122 1.203927080555038 6625.404242088567116 1.200548279197877 6627.613078288179167 1.197195542931568 6629.822650889252145 1.194372278179527 6632.032960137292321 1.196825810882618 6634.244006277883273 1.200972192016459 6636.455789556711352 1.206380586533981 6638.668310219522937 1.215606697671989 6640.881568512153535 1.226181138768276 6643.095564680520511 1.236448029698432 6645.310298970616714 1.242013189541160 6647.525771628537768 1.245408629989857 6649.741982900441144 1.248672212537466 6651.958933032570712 1.252735849078099 6654.176622271248561 1.252603206419349 6656.395050862898643 1.247646496427370 6658.614219054004934 1.242970189537615 6660.834127091142363 1.241468867622812 6663.054775220961346 1.243424182537734 6665.276163690213252 1.245680952946917 6667.498292745712206 1.248221736884273 6669.721162634361463 1.253512917812688 6671.944773603140675 1.260512419824565 6674.169125899130449 1.266340298046380 6676.394219769474148 1.264324380194516 6678.620055461404263 1.256500079876464 6680.846633222229684 1.248350148835437 6683.073953299362074 1.238776120964171 6685.302015940273122 1.226237468308815 6687.530821392526377 1.213072537954155 6689.760369903759965 1.200215696099239 6691.990661721714787 1.189377211563104 6694.221697094195406 1.180756103182728 6696.453476269092789 1.172798035836061 6698.685999494377029 1.172268055977579 6700.919267018118262 1.176427247413259 6703.153279088453019 1.181053706727970 6705.388035953602412 1.184152079114519 6707.623537861867590 1.185029970956519 6709.859785061650655 1.186036276566222 6712.096777801416465 1.186547000314749 6714.334516329719918 1.182856632073636 6716.573000895199584 1.175674792970425 6718.812231746567704 1.168121283301669 6721.052209132642020 1.164917408723212 6723.292933302302117 1.162928481252733 6725.534404504516715 1.159995737244208 6727.776622988332747 1.157687327480405 6730.019589002897192 1.157680867331586 6732.263302797424330 1.157941017792373 6734.507764621213937 1.158047052453540 6736.752974723644002 1.155978036212855 6738.998933354196197 1.154305864391168 6741.245640762414041 1.153003800506187 6743.493097197932912 1.150599402348395 6745.741302910461854 1.147073624336000 6747.990258149817237 1.144007760849119 6750.239963165873633 1.140918633742222 6752.490418208600204 1.138823464836207 6754.741623528039781 1.141422982319749 6756.993579374340698 1.144545231134973 6759.246285997713130 1.149504757532991 6761.499743648456388 1.149013987115792 6763.753952576949814 1.144922188696801 6766.008913033674617 1.141552019027432 6768.264625269173848 1.139972089087769 6770.521089534082421 1.137772602305682 6772.778306079112554 1.135534096017334 6775.036275155080148 1.133674655359324 6777.294997012862041 1.136155472275316 6779.554471903428748 1.139449274871462 6781.814700077825364 1.141891341643070 6784.075681787202484 1.142429731549887 6786.337417282774368 1.142376947009861 6788.599906815843497 1.142170349610145 6790.863150637797844 1.141263371539786 6793.127149000102690 1.140672397767390 6795.391902154326999 1.139969401948977 6797.657410352103398 1.135008996261463 6799.923673845153644 1.126602508182782 6802.190692885278622 1.117835472022368 6804.458467724383809 1.113086714737399 6806.726998614437434 1.108978853128717 6808.996285807497770 1.097837716849192 6811.266329555700395 1.086813283066524 6813.537130111288207 1.077460481756423 6815.808687726563221 1.071871990351059 6818.081002653921132 1.066470238312360 6820.354075145835850 1.057743507992541 6822.627905454883148 1.046507621854808 6824.902493833705194 1.035226580908295 6827.177840535034193 1.024345529262753 6829.453945811677841 1.013033515500412 6831.730809916552971 0.999857536177957 6834.008433102634626 0.986565972041718 6836.286815622994254 0.972902738973228 6838.565957730778791 0.959478745937754 6840.845859679238856 0.946098430433030 6843.126521721689642 0.933691555312167 6845.407944111539109 0.923808777231736 6847.690127102271617 0.914832807730704 6849.973070947477026 0.909419678483401 6852.256775900807042 0.914005162764637 6854.541242216009778 0.920124706386081 6856.826470146912470 0.926015074086345 6859.112459947422394 0.928116182460091 6861.399211871554144 0.927442166757679 6863.686726173382340 0.926489534403396 6865.975003107076191 0.925613016165648 6868.264042926882212 0.925494559654262 6870.553845887150601 0.925787974680597 6872.844412242298858 0.926895779749066 6875.135742246831796 0.929812408810951 6877.427836155337900 0.932066328821347 6879.720694222505699 0.932892063451945 6882.014316703091026 0.933826273966826 6884.308703851940663 0.933269381933765 6886.603855923980518 0.932684813613508 6888.899773174239272 0.931225650759126 6891.196455857814726 0.926370439475000 6893.493904229891086 0.921105849222276 6895.792118545735320 0.915946997132946 6898.091099060718079 0.912283541185141 6900.390846030274588 0.909165634438360 6902.691359709931930 0.906039461281981 6904.992640355296317 0.905974228764507 6907.294688222078548 0.909394400743025 6909.597503566055821 0.912836982919248 6911.901086643096278 0.916460483983634 6914.205437709146281 0.920613717817218 6916.510557020259512 0.924815453893251 6918.816444832552406 0.929075814391958 6921.123101402235079 0.934013285516151 6923.430526985595861 0.939194217765252 6925.738721839029495 0.944375223109324 6928.047686218995295 0.949271271830809 6930.357420382044438 0.953971603809374 6932.667924584813591 0.958674086465243 6934.979199084018546 0.963104395001990 6937.291244136482419 0.966897671988172 6939.604059999091987 0.970676465566300 6941.917646928825889 0.974220684764026 6944.232005182743706 0.975740536411778 6946.547135018008703 0.976782279385080 6948.863036691852358 0.977843989176411 6951.179710461595278 0.978891083881455 6953.497156584639924 0.979875337561319 6955.815375318494262 0.980875674266586 6958.134366920729917 0.979402748899963 6960.454131649014016 0.973283938976265 6962.774669761090991 0.967095994100720 6965.095981514810774 0.960862465431830 6967.418067168092421 0.954651770513485 6969.740926978944117 0.948441900158551 6972.064561205454083 0.942192901179703 6974.388970105818771 0.938951624121086 6976.714153938299205 0.936736820422958 6979.040112961247360 0.934472710378831 6981.366847433097064 0.932222714491731 6983.694357612388558 0.929999058754313 6986.022643757727565 0.927779326732681 6988.351706127810758 0.926427128693802 6990.681544981417574 0.927541151394039 6993.012160577432951 0.928822367736903 6995.343553174806402 0.930120861812749 6997.675723032582027 0.930912345640171 7000.008670409889419 0.931642362275426 7002.342395565938205 0.932491232575696 7004.676898760044423 0.936538513479725 7007.012180251592326 0.942814273588042 7009.348240300056204 0.949115105698716 7011.685079164990384 0.951961037882662 7014.022697106059240 0.949828824990655 7016.361094382990814 0.947533064627041 7018.700271255606822 0.946475680948780 7021.040227983808109 0.951325470021679 7023.380964827604657 0.956637341579224 7025.722482047071935 0.962190074525647 7028.064779902377268 0.970626505336103 7030.407858653768926 0.979948084254611 7032.751718561604321 0.989299579245848 7035.096359886304526 0.998026791419671 7037.441782888385205 1.006124779903516 7039.787987828442056 1.014349822187804 7042.134974967178096 1.020732306699013 7044.482744565363646 1.023088477423775 7046.831296883860887 1.025585027867842 7049.180632183613852 1.026223599366337 7051.530750725672988 1.018418902982857 7053.881652771156951 1.009721590072923 7056.233338581275348 1.002011847554920 7058.585808417321459 1.006870849195968 7060.939062540693158 1.015984109508198 7063.293101212857437 1.025162290545440 7065.647924695373149 1.034708124758513 7068.003533249881002 1.044533676558416 7070.359927138128114 1.054382560802362 7072.717106621930725 1.058868845350140 7075.075071963197843 1.053865108308745 7077.433823423923968 1.048525566772504 7079.793361266185457 1.043371098408034 7082.153685752168712 1.038026289712316 7084.514797144123804 1.032520883116079 7086.876695704398117 1.027349226865003 7089.239381695415432 1.024591212621920 7091.602855379712310 1.022237772718587 7093.967117019889884 1.020322414267497 7096.332166878642965 1.025744978284284 7098.698005218747312 1.035839853010702 7101.064632303089638 1.046187672320186 7103.432048394620324 1.051520603811006 7105.800253756386155 1.050266906706385 7108.169248651513044 1.048919835592198 7110.539033343238771 1.043576544879874 7112.909608094863870 1.024640783863882 7115.280973169785284 1.005109922527755 7117.653128831482718 0.985413189427873 7120.026075343541379 0.966788025254026 7122.399812969616505 0.948350117937114 7124.774341973456103 0.929786204016467 7127.149662618889124 0.914882698792998 7129.525775169854569 0.901276942235485 7131.902679890357831 0.887435968227526 7134.280377044499801 0.874437317473211 7136.658866896461404 0.861735358625952 7139.038149710533617 0.849249126684946 7141.418225751074715 0.838745591201979 7143.799095282536655 0.831638174330276 7146.180758569454156 0.824894343025958 7148.563215876471077 0.817548910132903 7150.946467468295850 0.807168284768796 7153.330513609736045 0.796860601181863 7155.715354565685629 0.787541886218030 7158.100990601118610 0.791236374305138 7160.487421981120860 0.797875454125149 7162.874648970843737 0.804891608197272 7165.262671835535002 0.820960104205988 7167.651490840524275 0.842024644357210 7170.041106251248493 0.863000607450215 7172.431518333213717 0.875676446765100 7174.822727352022412 0.880608405504613 7177.214733573356170 0.882324269060658 7179.607537263008453 0.889118709193342 7182.001138686839113 0.896675475801239 7184.395538110803500 0.903543195017217 7186.790735800938819 0.908509525680681 7189.186732023392324 0.907441936324135 7191.583527044379480 0.903790777693684 7193.981121130211250 0.900236385119927 7196.379514547277722 0.899756251169835 7198.778707562082673 0.902094211223469 7201.178700441196270 0.905163561550952 7203.579493451283270 0.906260176713963 7205.981086859093011 0.902353887675368 7208.383480931482154 0.898976923258224 7210.786675935376479 0.899677525402684 7213.190672137798174 0.901135557057571 7215.595469805849461 0.902250650522536 7218.001069206746251 0.900029468096406 7220.407470607769028 0.903319535075409 7222.814674276295591 0.907637073678889 7225.222680479793780 0.916494016450543 7227.631489485812381 0.924914291700386 7230.041101562010226 0.932061418025102 7232.451516976117091 0.937532823461990 7234.862735995954608 0.943354356710895 7237.274758889429904 0.950379749614912 7239.687585924559244 0.956881894257603 7242.101217369428014 0.962074817369052 7244.515653492218007 0.967275924942599 7246.930894561191053 0.972685049510271 7249.346940844723576 0.977370302673425 7251.763792611255667 0.980706512146853 7254.181450129328368 0.984074996153586 7256.599913667562760 0.984506196825608 7259.019183494690878 0.980619304599003 7261.439259879513884 0.976347649978749 7263.860143090928432 0.973848930261943 7266.281833397913942 0.976338415496355 7268.704331069563523 0.979547458153927 7271.127636375034854 0.984775875746905 7273.551749583584751 0.985441403743774 7275.976670964550067 0.984317086200498 7278.402400787383158 0.985124878153309 7280.828939321602775 0.990242615601088 7283.256286836822255 0.996495177728728 7285.684443602739520 1.001363513464460 7288.113409889166178 1.004943160309709 7290.543185965979319 1.009336316501602 7292.973772103154261 1.015481800875485 7295.405168570748174 1.026346962288209 7297.837375638931007 1.037410313449231 7300.270393577940922 1.046774424288687 7302.704222658113395 1.047459299060204 7305.138863149873032 1.048391255341393 7307.574315323729934 1.049619947761109 7310.010579450302430 1.051932017503828 7312.447655800280700 1.053139960867346 7314.885544644450420 1.054210285116127 7317.324246253680030 1.054170697782015 7319.763760898952569 1.050932807390797 7322.204088851317465 1.047259194957171 7324.645230381921465 1.047752016566963 7327.087185761995897 1.048364751463655 7329.529955262883050 1.048131329079905 7331.973539155996150 1.048603629687769 7334.417937712842104 1.052983781286032 7336.863151205016038 1.058485595145620 7339.309179904220400 1.061946742130918 7341.756024082231306 1.058551156908602 7344.203684010917641 1.052281953604447 7346.652159962236510 1.045341717744628 7349.101452208255068 1.042584584874811 7351.551561021108682 1.046172804213289 7354.002486673032763 1.049731274570290 7356.454229436343667 1.051387558613996 7358.906789583473255 1.051891961819318 7361.360167386920693 1.052726198023705 7363.814363119282461 1.054980114890515 7366.269377053240532 1.058188776544835 7368.725209461588747 1.062311635053705 7371.181860617190978 1.072122594338209 7373.639330793006593 1.078230313372846 7376.097620262081364 1.113337521414441 7378.556729297573838 1.201595360385463 7381.016658172709867 1.203716174980858 7383.477407160816256 1.206045864805862 7385.938976535308029 1.216915883673547 7388.401366569686616 1.236147074980111 7390.864577537565310 1.256313469461996 7393.328609712627440 1.268364956138436 7395.793463368653647 1.277293271991917 7398.259138779509158 1.287013390159870 7400.725636219171975 1.297002767644772 7403.192955961691951 1.308289584927588 7405.661098281214436 1.320062155172560 7408.130063451970273 1.327309759782260 7410.599851748303990 1.327169234252681 7413.070463444628331 1.326230631718680 7415.541898815456079 1.323106573197185 7418.014158135384605 1.310194825243918 7420.487241679123144 1.291972261071622 7422.961149721451875 1.275794741783328 7425.435882537249199 1.266425650506690 7427.911440401478103 1.258818232762612 7430.387823589216168 1.251852423630214 7432.865032375608280 1.242954034342001 7435.343067035900276 1.226205178868563 7437.821927845422579 1.209011479503870 7440.301615079618387 1.194120210425754 7442.782129014001839 1.188509949208197 7445.263469924184392 1.184615728930429 7447.745638085863902 1.189684535950940 7450.228633774851914 1.195908449258738 7452.712457267029095 1.201254282281787 7455.197108838375243 1.196160226678766 7457.682588764963839 1.197216391413156 7460.168897322952034 1.199000485715063 7462.656034788609759 1.201449498051522 7465.144001438279702 1.209021179966591 7467.632797548400958 1.217311430618761 7470.122423395500846 1.227890193415482 7472.612879256217639 1.233309607043349 7475.104165407263281 1.237727550088723 7477.596282125445214 1.243978272382641 7480.089229687659099 1.249535152822509 7482.583008370913376 1.251412054216076 7485.077618452287425 1.239638631547501 7487.573060208959760 1.227238399403151 7490.069333918195298 1.216191208916689 7492.566439857371734 1.204883578573141 7495.064378303937701 1.188998018504377 7497.563149535442790 1.166690918242064 7500.062753829520261 1.153571589757525 7502.563191463918884 1.147090561863489 7505.064462716457456 1.151624404985425 7507.566567865054822 1.159606679511938 7510.069507187716226 1.168714332758534 7512.573280962559693 1.178322393599547 7515.077889467776004 1.194553607627476 7517.583332981654166 1.212035057378262 7520.089611782569591 1.226443487590376 7522.596726149012284 1.235692133069466 7525.104676359544101 1.242450192700090 7527.613462692825124 1.246943480320325 7530.123085427601836 1.246422471836345 7532.633544842737138 1.246707977942185 7535.144841217163048 1.260464976401698 7537.656974829912542 1.259374281869044 7540.169945960111363 1.249434588522479 7542.683754886969837 1.239540187613479 7545.198401889818342 1.223409160144229 7547.713887248050924 1.201357539954313 7550.230211241168945 1.169511041142241 7552.747374148753806 1.134148620995759 7555.265376250507870 1.096440371381445 7557.784217826199892 1.054616890702548 7560.303899155701401 1.012149586909577 7562.824420518969418 0.968626836596302 7565.345782196078289 0.917716704450651 7567.867984467170572 0.865939471749024 7570.391027612490689 0.815073922012714 7572.914911912369462 0.769882969705997 7575.439637647254131 0.727899017938423 7577.965205097661965 0.688967400233441 7580.491614544212098 0.655788837283172 7583.018866267607336 0.619286361895355 7585.546960548670540 0.578721591539977 7588.075897668291873 0.557478318766342 7590.605677907466088 0.549070056388836 7593.136301547270705 0.552159328526484 7595.667768868903295 0.564048974370460 7598.200080153627823 0.584351683333261 7600.733235682813756 0.614764998163912 7603.267235737915144 0.648117417096235 7605.802080600502450 0.683402673546055 7608.337770552217989 0.720145174276699 7610.874305874805032 0.756895806646055 7613.411686850092337 0.797736038300579 7615.949913760026902 0.845563867888031 7618.488986886626662 0.892498358734055 7621.028906512010508 0.938775377429468 7623.569672918391916 0.983949404081015 7626.111286388069857 1.025618828946127 7628.653747203462444 1.062741156744343 7631.197055647056914 1.094651832651202 7633.741212001443273 1.134149705636678 7636.286216549297933 1.180768616892447 7638.832069573414628 1.236221508937354 7641.378771356657126 1.276739853899680 7643.926322181993783 1.307578886704547 7646.474722332477540 1.327898389005872 7649.023972091278665 1.336362825693291 7651.574071741641092 1.342168556327316 7654.125021566907890 1.350843643199237 7656.676821850510350 1.357876693690881 7659.229472875997089 1.366684019117831 7661.782974926989482 1.379720922606032 7664.337328287208948 1.384253836871802 7666.892533240465127 1.386102741121891 7669.448590070684986 1.387692867298716 7672.005499061867340 1.390471719953192 7674.563260498112868 1.388750469877750 7677.121874663609560 1.379191664724700 7679.681341842663642 1.376397767302809 7682.241662319653187 1.380839410219776 7684.802836379056316 1.394042566128037 7687.364864305442097 1.396239431384826 7689.927746383495105 1.393379410170496 7692.491482897972674 1.387565064530456 7695.056074133733091 1.393244532362544 7697.621520375732871 1.398070220873723 7700.187821909012200 1.396380249694184 7702.754979018732229 1.390887519479288 7705.322991990124137 1.393128015385418 7707.891861108523699 1.407213921066907 7710.461586659352179 1.415726610749235 7713.032168928149986 1.424638574775637 7715.603608200530289 1.435318857691182 7718.175904762208120 1.446467685648129 7720.749058898986732 1.449369745867343 7723.323070896788522 1.443806822678365 7725.897941041605009 1.448872593481444 7728.473669619534121 1.445797030410539 7731.050256916761100 1.431242129228499 7733.627703219586692 1.404986224053429 7736.206008814388042 1.383483763727137 7738.785173987642338 1.368604127841199 7741.365199025915899 1.358651818128372 7743.946084215894189 1.354373702522056 7746.527829844334519 1.355298359745391 7749.110436198096977 1.365041477251548 7751.693903564130778 1.381089951661001 7754.278232229502464 1.397758967994103 7756.863422481353155 1.396760687269132 7759.449474606924923 1.384484911591085 7762.036388893548974 1.365340207934275 7764.624165628676565 1.343651899991200 7767.212805099831712 1.313141457899589 7769.802307594638478 1.282263642296215 7772.392673400813692 1.265206784345265 7774.983902806190599 1.254658598861433 7777.575996098676114 1.246751217322373 7780.168953566279924 1.252385884308006 7782.762775497109033 1.253007700538858 7785.357462179357753 1.252443582582614 7787.953013901339546 1.240960101079808 7790.549430951443355 1.224176880991333 7793.146713618157264 1.206424567229336 7795.744862190063031 1.180215038817294 7798.343876955857013 1.148738080545296 7800.943758204312871 1.116223870757723 7803.544506224305223 1.076267804954903 7806.146121304798726 1.034672704733587 7808.748603734876269 0.995114878853530 7811.351953803696233 0.970519077053001 7813.956171800519769 0.950928903125330 7816.561258014694431 0.933411693685847 7819.167212735692374 0.916473986606006 7821.774036253054874 0.889493677605958 7824.381728856430527 0.860954136148020 7826.990290835552514 0.826016261858834 7829.599722480279524 0.790461936065169 7832.210024080538460 0.758015056819536 7834.821195926364453 0.734191817352725 7837.433238307878128 0.710397006624885 7840.046151515323800 0.687984795110797 7842.659935839016725 0.676612901185645 7845.274591569376753 0.669518298304438 7847.890118996913770 0.664734696884549 7850.506518412257719 0.666772086359256 7853.123790106112210 0.670282727855118 7855.741934369284536 0.673984102813778 7858.360951492680215 0.674783843497523 7860.980841767292077 0.674488835219370 7863.601605484236643 0.670264136786314 7866.223242934700465 0.657492553641138 7868.845754409977417 0.643446040453381 7871.469140201449591 0.642204203467090 7874.093400600620043 0.646944363609332 7876.718535899064591 0.651497587885379 7879.344546388466370 0.656752661259698 7881.971432360595827 0.662940772939836 7884.599194107344374 0.669245195493661 7887.227831920678000 0.678615991191458 7889.857346092668195 0.700870473398379 7892.487736915474670 0.722969945961283 7895.119004681379010 0.734644784332982 7897.751149682737378 0.743381368995860 7900.384172212007797 0.751616219784487 7903.018072561742883 0.753148788072163 7905.652851024613483 0.749310582900386 7908.288507893364113 0.746114916785610 7910.925043460845700 0.746141662885204 7913.562458019999212 0.745809309069533 7916.200751863886580 0.747073111305673 7918.839925285643403 0.760224570506045 7921.479978578511691 0.779008111698284 7924.120912035820766 0.798455621108510 7926.762725951026368 0.814457390971485 7929.405420617653363 0.827437022603926 7932.048996329335750 0.840114132295133 7934.693453379795756 0.849268954769876 7937.338792062877474 0.857377679350452 7939.985012672499579 0.857360604967025 7942.632115502687157 0.860636734828184 7945.280100847562608 0.866476359551346 7947.928969001338373 0.872181748666011 7950.578720258348767 0.869782730076399 7953.229354913002680 0.866244058071057 7955.880873259816326 0.866713624183839 7958.533275593393228 0.862511868247877 7961.186562208460600 0.857763094574895 7963.840733399822057 0.855538071846263 7966.495789462383982 0.859738075115596 7969.151730691144621 0.863070633666728 7971.808557381225000 0.854298651919906 7974.466269827819815 0.838505965116635 7977.124868326231081 0.823881551000928 7979.784353171849943 0.817981851435316 7982.444724660190332 0.815634893818346 7985.105983086842571 0.814293474088707 7987.768128747500668 0.818851001095347 7990.431161937951401 0.825858135280294 7993.095082954102509 0.827720780541466 7995.759892091938127 0.815529116654096 7998.425589647546985 0.802409503453837 8001.092175917111490 0.793356343946642 8003.759651196933191 0.790309715628229 8006.428015783391857 0.786625895500293 8009.097269972970935 0.789573898160896 8011.767414062247553 0.798333734849339 8014.438448347918893 0.808211520792396 8017.110373126760351 0.809523402970042 8019.783188695651006 0.806319087442013