SN 2002cx Ia in PGC045981 (CGCG 044-035)


Geoffrey Chaucer with an astrolabe.

OBJ:   SN 2002bo Ia in PGC045981 (CGCG 044-035) (S? galaxy) which in Leda is
       PGC045981 (Leda).
DISCOVERY:  2002may12.2 UT by Woods-Vasey et al. (2002)
MAX:  2002may20.7 +/- 1.0 (JD 2452415.2) in B li2003.
           See the US Navy Observatory 
           Julian Date Converter.
           This day of the year 140.
SUPERNOVA of the YEAR:  M = 102.

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)).

COMMENTS:  This is a very peculiar SN Ia.  Maybe the 02cx-likes are a whole separate subtype of Ia's or something
           really non-Ia.  Time will tell.

REFERENCES:

       CfA List of Supernovae
       where SN 2002cx is noted.

       CfA Supernova Archive
       For SN 2002cx, this has 4 spectra (li2003) and 0 photometry.
       The spectra are the 4 earliest ones in li2003.

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

       jha2006a Specifically on SN 2002cx late-time spectra
       with 4 spectra from 2003.

       li2003 Specifically on SN 2002cx
       with 9 spectra reported.

       matheson2002 Specifically on SN 2002cx:
       it reports 2002may17.22 UT for the date of the first li2003 spectrum.

       paturel2003 (Leda) Leda refererence.

       SUSPECT Index.

       SUSPECT Index:  SN 2002cx Ia.
       There are 0 spectra all from benetti2004.
       But there is a great picture of
       Fritz Zwicky (Wikipedia).
       Just say Fritz Zwicky aloud and you can tell he's an up-to-date person.


CORRECTIONS:  Heliocentric velocity 7183 +/- 32 km/s (2007jun30) from
              PGC045981 (Leda).
              Galactic foreground 0.14/4=.035 reddening from
              PGC045981 (Leda).
              But this is derived from
              Schlegel et al. (1998).


OBSERVATIONS: From (1) 1) li2003 and downloaded from CfA Supernova Archive and I think the cfa spectra are all observer frame. Graphical evidence agrees. So does a comparison with the 02cx spectra in David Branch's directory that have the same flux, but deredshifted by about 7183 A. 2) Eddie Baron has no SN 2002cx spectra in his files. 3) David Branch has the early ones in /home/branch/synow/sn2002cx and I think these are probably all deredshifted by comparison to the CfA supernova archive. SPECTRUM LOG: JD times for the SN 2002cx spectra of li2003 Bmax from li2003 where the JD Bmax is JD 2452415.2 +/- 1.0 (p. 457) which is 2002may20.70 UT. Unfortunately, li2003 only provides whole number dates, and so some of the JDs' below are just placeholders until the real ones are available. The first 4 spectra have JD from the FITS headers of the cfa supernova archive spectra. The next 5 were taken at the Keck telescopes in Hawaii which is 10 hours = .4 days behind UT. Thus, .4 UT is midnight in Hawaii. Thus, the others were .4 +/- .3 UT. That's the best estimate I can make right now. As far as I can tell all the cfa supernova archive spectra are in the observer frame. The spectra from David Branch's directory /home/branch/synow/sn2002cx seem to be all in the rest frame. JD Bmax Heliocentric velocity (Leda, 2007jun30) 52415.20 7183. Heliocentric velocity Z redshift 7183.0000000000 0.0239599090 Index JD of some kind Observer phase Rest phase 1 52411.7200000000 -3.4800000000 -3.3985705588 ! li2003 2002may17.22 3720.00--7521.00 2 52414.6800000000 -0.5200000000 -0.5078323823 ! li2003 2002may20.18 3720.00--7540.50 3 52427.7000000000 12.5000000000 12.2075091912 ! li2003 2002jun02.20 3720.00--7540.50 4 52431.6800000000 16.4800000000 16.0943801176 ! li2003 2002jun06.18 3720.00--7500.00 5 52435.9000000000 20.7000000000 20.2156352206 ! li2003 2002jun10.4 4187.08--10054.46 6 52440.9000000000 25.7000000000 25.0986388971 ! li2003 2002jun15.4 7 52441.9000000000 26.7000000000 26.0752396324 ! li2003 2002jun16.4 8 52442.9000000000 27.7000000000 27.0518403676 ! li2003 2002jun17.4 9 52471.9000000000 56.7000000000 55.3732616912 ! li2003 2002jul16.4 &specnamelist aname='sn2002cx Ia 2002_06_02' ebv=.035 ! epoch=12.2075091912 ! This parameter needs to updated for the particular spectrum. idifmake=0 iformat=1 ismooth=1 ! Smoothing? itick=2 itickln=4 t_rise=19.4d0 ! \citep{conley2006}, Just an average rise time. v_helio=7183. ymin2=0.1d0 ymax2=.55d0 ymin3=.5 ymax3=1.9 wlammin1=3720.d0 wlammax1=7540.5 wlammin2=3720.d0 wlammax2=7540.5 wlammin3=3800.d0 wlammax3=7400. /
./figure/sn2002cx_2002_06_02.gif Postscript plot of the spectrum.
./figure/sn2002cx_2002_06_02.dif.gif Postscript plot of the spectrum with local normalization.
FITS: Fits format information from the observers if any. END: 3633.675683766132806 0.530359198645660 3634.887110887355448 0.511268855742272 3636.098941884930809 0.491019988889401 3637.311176893503671 0.503402725112187 3638.523816047766559 0.549493459583521 3639.736859482453838 0.571833901142333 3640.950307332354896 0.592420170410275 3642.164159732293683 0.620702340243033 3643.378416817143261 0.654678861586308 3644.593078721816710 0.691309835095679 3645.808145581283952 0.749911238738425 3647.023617530549473 0.821714302557066 3648.239494704664594 0.891713628619866 3649.455777238723840 0.935858966066933 3650.672465267876760 0.931936072606010 3651.889558927307462 0.891465752927562 3653.107058352248714 0.901344494840351 3654.324963677977394 0.947831789083309 3655.543275039813579 0.979725877772588 3656.761992573132375 0.961985749543612 3657.981116413342988 0.892409704700775 3659.200646695903288 0.822284246642986 3660.420583556313431 0.766843340204451 3661.640927130129512 0.728909657429986 3662.861677552940819 0.703076535674370 3664.082834960387117 0.681407213279705 3665.304399488148192 0.655655120619447 3666.526371271961125 0.616934300262455 3667.748750447597104 0.581846173954630 3668.971537150875520 0.589182502151558 3670.194731517658511 0.610604675907144 3671.418333683863239 0.611878499204077 3672.642343785441881 0.576839343496729 3673.866761958396637 0.549022793487969 3675.091588338768815 0.611712103265582 3676.316823062658386 0.673132316411708 3677.542466266198971 0.674894043003418 3678.768518085572850 0.628094404191454 3679.994978657004140 0.595910547018938 3681.221848116774254 0.626491884811176 3682.449126601197804 0.682029813195560 3683.676814246639424 0.738038903033851 3684.904911189504674 0.811829457616523 3686.133417566256412 0.873904826915623 3687.362333513391604 0.884207638269415 3688.591659167456783 0.870923494631337 3689.821394665043499 0.912930598425884 3691.051540142784688 0.971220975452833 3692.282095737371947 1.001897824301569 3693.513061585528703 0.992724156346803 3694.744437824029774 0.960832072418829 3695.976224589689991 0.944164869078641 3697.208422019383306 0.930036368794634 3698.441030250016411 0.952965193154316 3699.674049418545110 0.988854259810597 3700.907479661968409 1.017365864558986 3702.141321117341249 1.036082115950211 3703.375573921754039 1.062128923208557 3704.610238212344939 1.094878525893068 3705.845314126296216 1.134213755108148 3707.080801800845165 1.156357679940216 3708.316701373265005 1.138839115996878 3709.553012980877611 1.085669924039208 3710.789736761047152 1.006062030652840 3712.026872851195094 0.852842866799399 3713.264421388777009 0.868204466059246 3714.502382511298947 0.865387814472810 3715.740756356307429 0.847396534979143 3716.979543061407639 0.842305542814882 3718.218742764238868 0.870404667703751 3719.458355602489519 0.923887400010890 3720.698381713891195 1.000133863855492 3721.938821236231433 1.089357771428149 3723.179674307333698 1.153760722932026 3724.420941065070110 1.190959296256466 3725.662621647355536 1.224050450928745 3726.904716192162141 1.277477084878963 3728.147224837496651 1.329221894106252 3729.390147721415815 1.340153410661102 3730.633484982021400 1.350590745678323 3731.877236757458832 1.346922474729290 3733.121403185930376 1.323753794564010 3734.365984405672407 1.293502877126005 3735.610980554972684 1.280643005190758 3736.856391772159441 1.263547572471946 3738.102218195619571 1.206102943644681 3739.348459963774076 1.142546300458144 3740.595117215095343 1.104886459041102 3741.842190088095776 1.089968418092577 3743.089678721347354 1.073753343298938 3744.337583253456160 1.041546314188431 3745.585903823078297 1.021811819316802 3746.834640568911254 1.037142876314744 3748.083793629712545 1.059611109999931 3749.333363144272425 1.080282388285604 3750.583349251432082 1.104277702684832 3751.833752090074995 1.137009852872496 3753.084571799142395 1.160928222489359 3754.335808517610531 1.154426969668029 3755.587462384505670 1.145817030162416 3756.839533538896831 1.122458844526685 3758.092022119910325 1.061041614315973 3759.344928266707939 0.980759643532791 3760.598252118501932 0.936218922276208 3761.851993814545494 0.944275815944051 3763.106153494152295 0.953532420397302 3764.360731296668291 0.935993405515811 3765.615727361492191 0.929888969318010 3766.871141828063173 0.951242303350256 3768.126974835879992 0.990512440314947 3769.383226524475504 1.027613919509375 3770.639897033433954 1.069281147591741 3771.896986502384152 1.084195608590670 3773.154495070999928 1.088212952124458 3774.412422879011956 1.091248216741065 3775.670770066185469 1.096000348034292 3776.929536772337542 1.098596416314085 3778.188723137327088 1.096656014427699 3779.448329301071681 1.105032467504078 3780.708355403523001 1.140960716934023 3781.968801584684570 1.178423662538210 3783.229667984601747 1.206440073086324 3784.490954743379007 1.216877996704885 3785.752662001154931 1.216471377539056 3787.014789898119034 1.218164023942573 3788.277338574504938 1.218616171755378 3789.540308170602202 1.212166112072888 3790.803698826738128 1.209977205646612 3792.067510683288674 1.204903935830349 3793.331743880673912 1.198355665954492 3794.596398559371664 1.198872595461040 3795.861474859895679 1.209238669723934 3797.126972922809273 1.215389825587988 3798.392892888720326 1.208679245680124 3799.659234898293562 1.220285098665176 3800.925999092230086 1.237707126981298 3802.193185611281933 1.252118270459182 3803.460794596243431 1.270743752135348 3804.728826187967115 1.291247362789479 3805.997280527342355 1.294345435054351 3807.266157755308086 1.283396477132531 3808.535458012850995 1.313110762903322 3809.805181441000514 1.346700129310123 3811.075328180844281 1.359499786705876 3812.345898373506316 1.350347754215844 3813.616892160161115 1.336237322041461 3814.888309682026375 1.327154656304540 3816.160151080378000 1.300291872245976 3817.432416496528276 1.238378251412501 3818.705106071839509 1.178993316697120 3819.978219947718571 1.105874917963443 3821.251758265629633 1.021494795741618 3822.525721167073243 0.941453488485331 3823.800108793601339 0.882942078452278 3825.074921286807694 0.841971077988972 3826.350158788347017 0.765302602130220 3827.625821439907668 0.682183500516331 3828.901909383230304 0.680998395406620 3830.178422760098329 0.702747790884453 3831.455361712354261 0.724427741695897 3832.732726381877001 0.747489314517029 3834.010516910595015 0.772956004830952 3835.288733440482247 0.785660524217899 3836.567376113569480 0.773748964615716 3837.846445071924791 0.778222921455727 3839.125940457666729 0.790879163458559 3840.405862412957504 0.783064896289910 3841.686211080018893 0.767568618148740 3842.966986601107692 0.752998277820550 3844.248189118532537 0.739921799117713 3845.529818774644809 0.735362161487175 3846.811875711855919 0.753310614796968 3848.094360072612744 0.786996218116154 3849.377271999413551 0.795884895562560 3850.660611634803900 0.782684421978578 3851.944379121373458 0.766367579697547 3853.228574601771015 0.758522718202296 3854.513198218680827 0.763033140083021 3855.798250114838538 0.778345854352717 3857.083730433024357 0.775679800827470 3858.369639316077155 0.733430377751016 3859.655976906871274 0.704828010237396 3860.942743348333806 0.717291563699025 3862.229938783434136 0.754484900277994 3863.517563355202583 0.795072953735223 3864.805617206704028 0.826592973077958 3866.094100481055648 0.841185439109438 3867.383013321418730 0.824463745813357 3868.672355871013679 0.816595415306023 3869.962128273095914 0.847520802246136 3871.252330670974516 0.865804644918556 3872.542963208001311 0.857507305254562 3873.834026027587242 0.833332046633447 3875.125519273180089 0.801374578133782 3876.417443088279015 0.758367973517812 3877.709797616427295 0.704783650279089 3879.002583001227322 0.651436203135615 3880.295799386318777 0.618896110231491 3881.589446915391818 0.602350386895940 3882.883525732181170 0.606204895959200 3884.178035980481582 0.623712662682180 3885.472977804122820 0.642870392164741 3886.768351346988311 0.660784343234209 3888.064156753007865 0.687508123315904 3889.360394166155857 0.725796670455591 3890.657063730466689 0.791089944545274 3891.954165590010689 0.857905224554320 3893.251699888910480 0.905779756902461 3894.549666771332795 0.942231251324141 3895.848066381503486 0.988166313973143 3897.146898863686147 1.054423331914511 3898.446164362194395 1.124784285992206 3899.745863021387777 1.164897476632631 3901.045994985684956 1.175508841385407 3902.346560399540977 1.150640813482892 3903.647559407463632 1.123763260040781 3904.948992154003918 1.108254814069818 3906.250858783773310 1.080462786104964 3907.553159441420121 1.037073800766974 3908.855894271644502 0.990251076448814 3910.159063419190261 0.952731173588129 3911.462667028862143 0.931744023585851 3912.766705245500816 0.926179861353279 3914.071178214000156 0.944592874061361 3915.376086079296783 0.956929904730840 3916.681428986388710 0.954223960524761 3917.987207080310327 0.952374835551336 3919.293420506147868 0.948037175260644 3920.600069409032130 0.944178115162250 3921.907153934154394 0.952788324907879 3923.214674226741863 0.969690692885510 3924.522630432075402 0.969717306771730 3925.831022695479078 0.960229660128166 3927.139851162337436 0.952632331062378 3928.449115978072314 0.957092736377031 3929.758817288157388 0.970424311095360 3931.068955238115450 0.976332141198287 3932.379529973512490 0.965389695266918 3933.690541639976800 0.948309707168210 3935.001990383171687 0.950212690917868 3936.313876348814574 0.985644117900153 3937.626199682665629 1.030307535249603 3938.938960530546865 1.065687510486387 3940.252159038316677 1.074845378505923 3941.565795351886209 1.062891169884925 3942.879869617210261 1.050318603200758 3944.194381980306389 1.048106315740670 3945.509332587226254 1.054018985956014 3946.824721584076542 1.053614035524846 3948.140549117006685 1.033166357136204 3949.456815332227961 1.014066567617503 3950.773520375988937 1.017166642215098 3952.090664394589112 1.015635471845246 3953.408247534374368 1.017374830300267 3954.726269941750616 1.039569683640044 3956.044731763161053 1.052703897981773 3957.363633145101630 1.038067028083066 3958.682974234111953 1.012947959034491 3960.002755176794835 0.998017690249932 3961.322976119787654 0.977668346310722 3962.643637209781900 0.934230172637619 3963.964738593513630 0.917799239191333 3965.286280417779835 0.914890132918687 3966.608262829414798 0.885442839853642 3967.930685975305096 0.872919551568150 3969.253550002383236 0.891328683016337 3970.576855057641296 0.920303508474383 3971.900601288109556 0.939932579401768 3973.224788840871042 0.956749165352482 3974.549417863057442 0.987627878518495 3975.874488501846372 1.016731087733728 3977.200000904475019 1.035971121505808 3978.525955218219224 1.052157313506856 3979.852351590406670 1.060398387670505 3981.179190168411424 1.060726675409885 3982.506471099667124 1.056827413452918 3983.834194531646517 1.063009887519977 3985.162360611873282 1.067586924617718 3986.490969487918392 1.054735122797345 3987.820021307412389 1.043608722869846 3989.149516218024473 1.071323209629964 3990.479454367475228 1.115467247574411 3991.809835903532530 1.122806132883519 3993.140660974023831 1.125253559696775 3994.471929726815233 1.145784545146963 3995.803642309824681 1.167714708419209 3997.135798871016959 1.190932270031286 3998.468399558417332 1.208169956158001 3999.801444520088353 1.201613942286590 4001.134933904146237 1.175080270997351 4002.468867858752674 1.158256229386329 4003.803246532129833 1.161197454509243 4005.138070072538994 1.161137835854349 4006.473338628293277 1.173117529280294 4007.809052347751731 1.194089202999933 4009.145211379335251 1.207593185154239 4010.481815871502022 1.234706167562444 4011.818865972763888 1.274338991065621 4013.156361831681352 1.308173967808361 4014.494303596861300 1.325314160785653 4015.832691416972011 1.324234656562278 4017.171525440719506 1.301588091398995 4018.510805816862558 1.259185309148521 4019.850532694206322 1.225733640120573 4021.190706221617802 1.207915981298064 4022.531326548000379 1.164754970281900 4023.872393822312461 1.099231366663474 4025.213908193557472 1.038605537256307 4026.555869810800232 1.003409411047758 4027.898278823143755 0.996700701926001 4029.241135379744719 1.016552926961702 4030.584439629805274 1.043865291418808 4031.928191722589418 1.063859807337818 4033.272391807399345 1.092514214174858 4034.617040033590001 1.149346392590327 4035.962136550562718 1.201873499721188 4037.307681507781581 1.234467375792943 4038.653675054746600 1.243741807404719 4040.000117341013265 1.230586912509589 4041.347008516181631 1.225622493094479 4042.694348729914964 1.231821343218445 4044.042138131913362 1.218511246989365 4045.390376871931494 1.170448161539612 4046.739065099769050 1.113358856999674 4048.088202965288929 1.076311690707476 4049.437790618390864 1.065482223058303 4050.787828209029612 1.074773820783284 4052.138315887204499 1.087940937394118 4053.489253802978510 1.079230853453626 4054.840642106451469 1.051215159641370 4056.192480947778222 1.037191683714088 4057.544770477161819 1.024604233444167 4058.897510844853969 1.011824478801777 4060.250702201166405 1.006126203596071 4061.604344696449971 1.000944197165858 4062.958438481109170 0.991986889072016 4064.312983705594888 0.968193728487598 4065.667980520420770 0.927366648649838 4067.023429076137290 0.885273149689131 4068.379329523350407 0.858686026339164 4069.735682012711095 0.853530301566851 4071.092486694933541 0.858476108418185 4072.449743720770130 0.844539122815134 4073.807453241026906 0.808706792892833 4075.165615406555844 0.780003378138824 4076.524230368273038 0.778832157578940 4077.883298277130962 0.797244731423844 4079.242819284137113 0.817303603305890 4080.602793540345829 0.836802149252383 4081.963221196873292 0.856455412087284 4083.324102404873884 0.872161334643697 4084.685437315556555 0.885965300758055 4086.047226080177097 0.904080527451571 4087.409468850052690 0.920555428657901 4088.772165776540987 0.924887202710685 4090.135317011051484 0.919039040615670 4091.498922705041423 0.918244073691203 4092.862983010031712 0.893162090517703 4094.227498077579185 0.859507052764021 4095.592468059297971 0.858242378879625 4096.957893106846313 0.871445939609811 4098.323773371947027 0.883050530211241 4099.690109006359307 0.882386772227215 4101.056900161899648 0.876286596999138 4102.424146990432746 0.872358983312238 4103.791849643871501 0.877022100420675 4105.160008274190659 0.888638275402226 4106.528623033404074 0.890037763663588 4107.897694073580169 0.876132028988525 4109.267221546832843 0.873709008679184 4110.637205605340569 0.885706946588701 4112.007646401320017 0.906665855896189 4113.378544087042428 0.929873088938239 4114.749898814825428 0.946817641079978 4116.121710737049398 0.953117440945574 4117.493980006134734 0.956993578481462 4118.866706774555496 0.969621058377898 4120.239891194832126 0.987145956883016 4121.613533419550549 1.004863544143462 4122.987633601332163 1.022671992954817 4124.362191892854753 1.036291474100433 4125.737208446842487 1.041834926716267 4127.112683416085019 1.044141741219646 4128.488616953407472 1.047318095860550 4129.865009211691358 1.044654111295924 4131.241860343865483 1.028454027988252 4132.619170502922316 0.991030842606964 4133.996939841889798 0.945720209087804 4135.375168513855897 0.926150827314988 4136.753856671951326 0.922076813375650 4138.133004469372281 0.911964490310454 4139.512612059354069 0.899126297332781 4140.892679595185655 0.894819861075215 4142.273207230208754 0.907901738981540 4143.654195117809650 0.929300119764276 4145.035643411441015 0.936530450199173 4146.417552264592814 0.922632593953748 4147.799921830809581 0.905594010725803 4149.182752263684961 0.903092988531938 4150.566043716874447 0.912581724377650 4151.949796344072638 0.921375363008629 4153.334010299031434 0.922885471973353 4154.718685735546387 0.920805794821765 4156.103822807478537 0.926380815454260 4157.489421668729847 0.948496635532593 4158.875482473254124 0.965186120906739 4160.262005375053377 0.969554622648463 4161.648990528196009 0.974725710142774 4163.036438086785893 0.969206020425443 4164.424348204985108 0.968053257188723 4165.812721037000301 0.961448073758340 4167.201556737103601 0.941287360240212 4168.590855459607155 0.919619006869430 4169.980617358876771 0.904079181125266 4171.370842589325548 0.892267976597726 4172.761531305432072 0.879226788824406 4174.152683661713127 0.874494805691087 4175.544299812741883 0.879099703839645 4176.936379913136079 0.875755319966001 4178.328924117581664 0.867395500663267 4179.721932580800967 0.868371685945980 4181.115405457572706 0.872618667395473 4182.509342902722892 0.878227754084786 4183.903745071141202 0.885415985255073 4185.298612117758239 0.903520989575858 4186.693944197559176 0.930479136262984 4188.089741465580119 0.957877170219287 4189.486004076905374 0.977846832358230 4190.882732186684734 0.981145216982137 4192.279925950104371 0.974903099701674 4193.677585522409572 0.960353457363847 4195.075711058891102 0.934779662937810 4196.474302714904297 0.900816199450245 4197.873360645844514 0.864009537144284 4199.272885007162586 0.834475572568930 4200.672875954356641 0.826152187082725 4202.073333642990292 0.838632230470407 4203.474258228665349 0.857245271005118 4204.875649867039101 0.880399509945326 4206.277508713819770 0.919948204216223 4207.679834924775605 0.970057317857237 4209.082628655718509 1.006064908703080 4210.485890062512226 1.016359140154645 4211.889619301072344 1.016119738825826 4213.293816527376293 1.026669153163640 4214.698481897441525 1.047478689651552 4216.103615567342786 1.065726622887723 4217.509217693202118 1.066827133495326 4218.915288431204317 1.051395109116941 4220.321827937576927 1.045829358984418 4221.728836368601151 1.072550038726284 4223.136313880607304 1.115040648415088 4224.544260629990276 1.140723718404595 4225.952676773184066 1.159292943669892 4227.361562466679970 1.182915739489760 4228.770917867020216 1.201095934085172 4230.180743130796145 1.212601753640804 4231.591038414662762 1.211736926243245 4233.001803875316000 1.193218395139381 4234.413039669508180 1.167827604390420 4235.824745954037098 1.144467367143713 4237.236922885768763 1.127319019385376 4238.649570621608291 1.118510510279475 4240.062689318514458 1.113496500955181 4241.476279133497883 1.103782098132239 4242.890340223631938 1.093637276432719 4244.304872746030014 1.101268157174891 4245.719876857863710 1.123596522764112 4247.135352716350098 1.135215336808584 4248.551300478772646 1.125675772777104 4249.967720302455746 1.093894199537779 4251.384612344778361 1.057257954322848 4252.801976763169478 1.033464625448413 4254.219813715121745 1.013175147496471 4255.638123358169651 0.971092433065322 4257.056905849901341 0.925388479741110 4258.476161347956804 0.913976153638218 4259.895890010038784 0.925157575490839 4261.316091993890041 0.934195974709420 4262.736767457312453 0.934856488178038 4264.157916558152465 0.934540092160686 4265.579539454325641 0.941572213195425 4267.001636303785745 0.966829945724795 4268.424207264542929 0.990438657751630 4269.847252494656459 0.980957131471996 4271.270772152251084 0.948168620734819 4272.694766395491570 0.921313045738541 4274.119235382599982 0.906409985329456 4275.544179271849316 0.892913406809614 4276.969598221563501 0.882054558591505 4278.395492390130130 0.879413753300867 4279.821861935978632 0.881756785306506 4281.248707017593915 0.888077233818838 4282.676027793509093 0.893713798786827 4284.103824422326397 0.887535339508170 4285.532097062683533 0.876320129848379 4286.960845873278231 0.877045011798120 4288.390071012855515 0.887526142491700 4289.819772640227711 0.896222255260649 4291.249950914245346 0.902335519734673 4292.680605993817153 0.913407710668615 4294.111738037900977 0.934566896007729 4295.543347205521059 0.956664804612042 4296.975433655738925 0.962985885020760 4298.407997547676132 0.957093973863732 4299.841039040501528 0.955946320398372 4301.274558293451264 0.946946320043233 4302.708555465801510 0.918529797583679 4304.143030716883914 0.888647411254971 4305.577984206081055 0.859680327196655 4307.013416092840998 0.837705891303448 4308.449326536651824 0.841446317493606 4309.885715697058913 0.853502258676029 4311.322583733655847 0.851315310439829 4312.759930806104421 0.862918163287200 4314.197757074106448 0.895252971893560 4315.636062697418311 0.899754128626158 4317.074847835848232 0.884166719715584 4318.514112649269919 0.890616651682008 4319.953857297598006 0.915391372878177 4321.394081940803517 0.964536861717639 4322.834786738911134 1.011490525320086 4324.275971851995564 1.019962455678680 4325.717637440196995 1.012025112733767 4327.159783663694725 1.019828442894641 4328.602410682729897 1.040085593464382 4330.045518657587309 1.053528696736054 4331.489107748622700 1.045252305033617 4332.933178116230920 1.012419919007869 4334.377729920862294 0.992287593875028 4335.822763323019899 1.009637558954001 4337.268278483270478 1.052150727431058 4338.714275562223520 1.088983693522125 4340.160754720545810 1.096244510854658 4341.607716118950520 1.078648875379390 4343.055159918222671 1.067505985309460 4344.503086279182753 1.067805183334303 4345.951495362713104 1.060843275976241 4347.400387329743353 1.043824672234081 4348.849762341269525 1.014408273460021 4350.299620558328570 0.988602147504338 4351.749962142017466 0.990344186332068 4353.200787253479575 1.013302170837229 4354.652096053927380 1.033255163378200 4356.103888704612473 1.045368532755581 4357.556165366844652 1.055946260881959 4359.008926201984650 1.066691058031994 4360.462171371458680 1.082308244036950 4361.915901036734795 1.097099418400911 4363.370115359336523 1.100628654186008 4364.824814500844695 1.096461245062126 4366.279998622888343 1.089262829378683 4367.735667887162890 1.082208598631317 4369.191822455404690 1.078076051565472 4370.648462489409212 1.072588836868710 4372.105588151020129 1.065398468681979 4373.563199602150235 1.062050314127159 4375.021297004752341 1.057565716493456 4376.479880520835650 1.041389983862993 4377.938950312460292 1.026396093982287 4379.398506541756433 1.022049280583134 4380.858549370890614 1.013995869736334 4382.319078962090316 0.998632424398524 4383.780095477632130 0.974650509331415 4385.241599079860862 0.940827689896748 4386.703589931160423 0.918306946162503 4388.166068193973842 0.918592083682945 4389.629034030795083 0.922624812566059 4391.092487604185408 0.921936306815758 4392.556429076744280 0.919839398246701 4394.020858611133917 0.910479265106701 4395.485776370063832 0.899905454283126 4396.951182516310837 0.890837265853846 4398.417077212693584 0.886713210551761 4399.883460622088933 0.887362766180184 4401.350332907425582 0.884995313316999 4402.817694231695896 0.880904078942083 4404.285544757937714 0.869424423755481 4405.753884649244355 0.854755397301885 4407.222714068760069 0.851764771267430 4408.692033179698228 0.858914174784943 4410.161842145310402 0.867934262198678 4411.632141128910007 0.873191659895020 4413.102930293863210 0.869682530458156 4414.574209803586200 0.860154268311198 4416.045979821564288 0.851965114833542 4417.518240511321892 0.843522455326104 4418.990992036444368 0.834078038646334 4420.464234560566183 0.823969218264166 4421.937968247389108 0.804545689788509 4423.412193260658569 0.776099114528864 4424.886909764175471 0.752246629661594 4426.362117921793470 0.742496300202654 4427.837817897434434 0.748023087946751 4429.314009855059339 0.759670123035963 4430.790693958689189 0.764432253264735 4432.267870372396828 0.763986129651206 4433.745539260321493 0.763533893657765 4435.223700786643349 0.764491389069463 4436.702355115603496 0.772009652205553 4438.181502411492147 0.781257530430315 4439.661142838667729 0.783016876756709 4441.141276561530503 0.779724033768590 4442.621903744539850 0.772076149229048 4444.103024552205170 0.767230635096011 4445.584639149104987 0.772745798587597 4447.066747699857842 0.775427665918978 4448.549350369142303 0.774256834365132 4450.032447321687869 0.772153382438639 4451.516038722293160 0.758333951183307 4453.000124735795907 0.743613444096894 4454.484705527094775 0.737015077062886 4455.969781261138451 0.726941350790819 4457.455352102944744 0.710765396293789 4458.941418217572391 0.687611704374486 4460.427979770141064 0.673410565068655 4461.915036925822278 0.667928553055707 4463.402589849841206 0.650147212947362 4464.890638707490325 0.633685142382405 4466.379183664103948 0.641329085502968 4467.868224885075506 0.651551358057193 4469.357762535850270 0.656012550960390 4470.847796781940815 0.673230795275114 4472.338327788902461 0.692317284637293 4473.829355722349646 0.712221714548533 4475.320880747947740 0.725325019275213 4476.812903031430324 0.741658236862478 4478.305422738573725 0.768765004551185 4479.798440035212479 0.784598082737213 4481.291955087233873 0.786377154718655 4482.785968060593405 0.795070716777622 4484.280479121286589 0.808356857827948 4485.775488435370789 0.809700090404171 4487.270996168954298 0.802061512226966 4488.767002488212711 0.793423472350597 4490.263507559365280 0.790936908875086 4491.760511548690374 0.794817155651968 4493.258014622516384 0.800113019747602 4494.756016947241733 0.806598872605030 4496.254518689307588 0.807920725802070 4497.753520015212416 0.799422876541428 4499.253021091509254 0.790184631161247 4500.753022084817530 0.790664620713506 4502.253523161799421 0.803127271322365 4503.754524489178038 0.817779901400414 4505.256026233730154 0.822554609492646 4506.758028562285290 0.819971365299657 4508.260531641741181 0.815538052480589 4509.763535639039219 0.814076552594895 4511.267040721179001 0.822510760465102 4512.771047055211966 0.832371264663679 4514.275554808260495 0.834891101971297 4515.780564147485165 0.837630701568365 4517.286075240111131 0.839631773937783 4518.792088253411748 0.839370337367724 4520.298603354732222 0.838452608539920 4521.805620711456868 0.835043953915479 4523.313140491032755 0.840445734866996 4524.821162860958793 0.855532668512334 4526.329687988800288 0.862795538995317 4527.838716042167107 0.860385360209836 4529.348247188730056 0.864032189739913 4530.858281596208144 0.875809601708378 4532.368819432394957 0.883059881541164 4533.879860865120463 0.874853824412203 4535.391406062281021 0.869430093189073 4536.903455191819376 0.875040916685414 4538.416008421751030 0.871407300517461 4539.929065920132416 0.861587452671862 4541.442627855081810 0.860281562689733 4542.956694394767510 0.869177079361442 4544.471265707428756 0.871039013335695 4545.986341961345715 0.859107717407831 4547.501923324861309 0.848002504260073 4549.018009966368481 0.843630625172925 4550.534602054330207 0.846686822002793 4552.051699757253118 0.858402571009629 4553.569303243702961 0.872839593292864 4555.087412682301874 0.888129811084016 4556.606028241723834 0.903406148121999 4558.125150090714669 0.910764811439417 4559.644778398060225 0.914899484243620 4561.164913332607284 0.926575516549408 4562.685555063256288 0.945628650749227 4564.206703758976801 0.961361022876478 4565.728359588779313 0.966291734568450 4567.250522721738889 0.972307468882342 4568.773193326977889 0.985565542048798 4570.296371573692340 1.002081076984866 4571.820057631119198 1.024103866384396 4573.344251668557263 1.051647280383163 4574.868953855356267 1.081574945826456 4576.394164360937793 1.106314564273086 4577.919883354765261 1.129892010007193 4579.446111006361207 1.162456167921628 4580.972847485303646 1.199854150274637 4582.500092961237897 1.234191538008721 4584.027847603853843 1.262637451289293 4585.556111582902304 1.285283382712298 4587.084885068185031 1.309312409287763 4588.614168229575625 1.335728008179154 4590.143961236989526 1.361291399316765 4591.674264260404016 1.392677261609770 4593.205077469848220 1.428201761447709 4594.736401035421295 1.453814558751376 4596.268235127266053 1.470276454892907 4597.800579915586241 1.494381396115172 4599.333435570641996 1.530852499731309 4600.866802262746205 1.572880038710389 4602.400680162281787 1.614946844573275 4603.935069439676226 1.656501848194278 4605.469970265416123 1.696086155477464 4607.005382810041738 1.722519094514977 4608.541307244163363 1.731379074918719 4610.077743738435856 1.751456839983752 4611.614692463572283 1.772823648774496 4613.152153590342095 1.769365688594844 4614.690127289582961 1.758585600406203 4616.228613732176200 1.750511596251122 4617.767613089064071 1.744489110822535 4619.307125531242491 1.731547323938259 4620.847151229777410 1.709023351547639 4622.387690355778432 1.688375149191226 4623.928743080417007 1.675089966852501 4625.470309574915518 1.665435683218192 4627.012390010569106 1.658870774639927 4628.554984558714750 1.646388857283255 4630.098093390753093 1.626478487293761 4631.641716678134799 1.604211382115236 4633.185854592383293 1.583981380485203 4634.730507305064748 1.577754155624778 4636.275674987808088 1.585871785892141 4637.821357812292263 1.596968366453925 4639.367555950270798 1.592465015293034 4640.914269573537240 1.577637007250088 4642.461498853950616 1.565867275183734 4644.009243963419067 1.553907341544499 4645.557505073923494 1.546524874426336 4647.106282357489363 1.547378594502429 4648.655575986203075 1.547291831510840 4650.205386132207423 1.543320993951116 4651.755712967698855 1.539673819567275 4653.306556664945674 1.539433016426981 4654.857917396258927 1.546971669105575 4656.409795334012415 1.563547213314269 4657.962190650632692 1.589692951460080 4659.515103518616343 1.620647531732818 4661.068534110505425 1.646957078776347 4662.622482598902934 1.677395290438100 4664.176949156465525 1.713269715990557 4665.731933955920795 1.736399707704298 4667.287437170039993 1.750328035587118 4668.843458971657128 1.768410393439455 4670.399999533658956 1.793274729280487 4671.957059029003176 1.811984651971674 4673.514637630692050 1.822967948868517 4675.072735511790597 1.837408173663989 4676.631352845414767 1.848926118410919 4678.190489804754179 1.838494202957571 4679.750146563042108 1.821847091621854 4681.310323293572765 1.823936494095712 4682.871020169695839 1.827491545385985 4684.432237364830144 1.809342882049326 4685.993975052440874 1.786735141061611 4687.556233406052343 1.775231178856619 4689.119012599246162 1.748245920424105 4690.682312805673064 1.711322904459829 4692.246134199029257 1.695106421116823 4693.810476953070975 1.691098033561572 4695.375341241609931 1.670011090297995 4696.940727238530599 1.635389588085631 4698.506635117758378 1.603603371839766 4700.073065053284154 1.565601816200078 4701.640017219155197 1.520940820962789 4703.207491789472442 1.481139042752186 4704.775488938410490 1.439727509526260 4706.344008840183960 1.389795672760484 4707.913051669075685 1.343971361566228 4709.482617599416699 1.305941108875660 4711.052706805614434 1.271788123321043 4712.623319462117252 1.240571422490043 4714.194455743438084 1.218805054743610 4715.766115824143526 1.199880595678748 4717.338299878871112 1.178920901224719 4718.911008082303852 1.160733071865940 4720.484240609186600 1.142389502952003 4722.057997634318781 1.118079385899968 4723.632279332570761 1.091828586364888 4725.207085878859289 1.067434862530565 4726.782417448162050 1.042570054546677 4728.358274215510392 1.017810355948097 4729.934656356011146 0.998928669378830 4731.511564044811166 0.986931820324782 4733.088997457123696 0.975240226919512 4734.666956768213822 0.966385142297131 4736.245442153419390 0.947562588693090 4737.824453788123719 0.919973451727631 4739.403991847771977 0.901456083628267 4740.984056507863897 0.895470619696272 4742.564647943971977 0.894238868104471 4744.145766331712366 0.885484127787923 4745.727411846764880 0.871656871835528 4747.309584664868453 0.858543013911180 4748.892284961814767 0.841063915787872 4750.475512913469174 0.828213234974291 4752.059268695740684 0.828671835707174 4753.643552484602878 0.829385481167800 4755.228364456081181 0.820545640124710 4756.813704786277412 0.802693832352481 4758.399573651334322 0.796779134495129 4759.985971227459231 0.796318406253605 4761.572897690914942 0.789659112317049 4763.160353218036107 0.790258495212169 4764.748337985201033 0.802875933469891 4766.336852168852602 0.816702264089113 4767.925895945487355 0.827465627310081 4769.515469491676413 0.849321884908636 4771.105572984033643 0.887743673798399 4772.696206599237485 0.918119127575425 4774.287370514020040 0.935920551927633 4775.879064905186169 0.957734141419030 4777.471289949587117 0.977080336513643 4779.064045824135974 0.988648840354633 4780.657332705801309 0.995872481299204 4782.251150771624452 0.999319715705055 4783.845500198692207 0.992053196717850 4785.440381164153223 0.974427687117833 4787.035793845211629 0.960215538110488 4788.631738419146131 0.953835444628149 4790.228215063279094 0.941364862423158 4791.825223954996545 0.928760534922611 4793.422765271738172 0.926459999086113 4795.020839191019149 0.920183968549785 4796.619445890399220 0.908373836941775 4798.218585547499970 0.902054903576058 4799.818258340003922 0.897991649550919 4801.418464445647260 0.887477222030337 4803.019204042241654 0.870415045931654 4804.620477307641522 0.859750797338381 4806.222284419765856 0.856910744111072 4807.824625556588217 0.837444511149567 4809.427500896156744 0.826431815177370 4811.030910616563233 0.840085293193229 4812.634854895964963 0.845535321247264 4814.239333912573784 0.842408387120173 4815.844347844673393 0.840089425491564 4817.449896870593875 0.843354608496043 4819.055981168730796 0.847654884415539 4820.662600917531563 0.840916989926824 4822.269756295520892 0.845707671439962 4823.877447481265335 0.864427343690562 4825.485674653397837 0.868507005206851 4827.094437990605002 0.871632991123383 4828.703737671648923 0.875204570566747 4830.313573875335351 0.878259718875466 4831.923946780535516 0.881614507249986 4833.534856566173403 0.884561134654274 4835.146303411250301 0.892563046954452 4836.758287494810247 0.892262343922140 4838.370808995962761 0.880387332903342 4839.983868093871024 0.877493788993486 4841.597464967775522 0.888276825089124 4843.211599796958581 0.900767503983539 4844.826272760768916 0.913344575051765 4846.441484038608905 0.925403871357597 4848.057233809957324 0.937476376862598 4849.673522254337513 0.960938235286359 4851.290349551335567 0.994874543403581 4852.907715880599426 1.024923680362170 4854.525621421832511 1.048059606474100 4856.144066354811002 1.073625647657453 4857.763050859357463 1.102430326282008 4859.382575115358122 1.122512989624936 4861.002639302757416 1.131779336422208 4862.623243601569811 1.143265047550749 4864.244388191859798 1.150257149941703 4865.866073253752802 1.147047508843994 4867.488298967431547 1.146457324721227 4869.111065513154244 1.142206889035887 4870.734373071221853 1.122664785803149 4872.358221822003543 1.100254053385936 4873.982611945920326 1.098330280261877 4875.607543623470519 1.107550919198203 4877.233017035197918 1.101267613031766 4878.859032361709069 1.086550338345437 4880.485589783668729 1.076520042437759 4882.112689481815323 1.060924461012086 4883.740331636932751 1.041472743602633 4885.368516429868578 1.029008768316528 4886.997244041529484 1.018171342342491 4888.626514652894002 0.994647827388509 4890.256328444987048 0.964599092010590 4891.886685598899930 0.948973043204436 4893.517586295777619 0.945552991904219 4895.149030716841480 0.942618819407366 4896.781019043358356 0.942122571054341 4898.413551456660571 0.943229462243530 4900.046628138139567 0.938655975493149 4901.680249269244086 0.935779354984280 4903.314415031497447 0.939643539460554 4904.949125606469352 0.953551701308619 4906.584381175793169 0.973350525668833 4908.220181921158655 0.980650776509185 4909.856528024332874 0.974148095565656 4911.493419667126545 0.963123586930422 4913.130857031415871 0.957095739000124 4914.768840299133444 0.958788475026899 4916.407369652289162 0.958289958375120 4918.046445272933852 0.953494456807531 4919.686067343190189 0.948324273390973 4921.326236045230871 0.942659846095971 4922.966951561307724 0.940477448640560 4924.608214073718045 0.951140430690705 4926.250023764823709 0.972583904627699 4927.892380817042977 0.986341772120907 4929.535285412870508 1.002195438105288 4931.178737734846436 1.026144386755594 4932.822737965575470 1.048568767829207 4934.467286287719617 1.071542546913433 4936.112382884017279 1.093557362914192 4937.758027937250517 1.111244332258466 4939.404221630271422 1.120119088746651 4941.050964145982107 1.124807019758419 4942.698255667366539 1.144628920623986 4944.346096377450522 1.164865468362557 4945.994486459328073 1.176347294935772 4947.643426096148687 1.187079959705638 4949.292915471138258 1.196563408331140 4950.942954767568153 1.208690764168372 4952.593544168775225 1.225002362845443 4954.244683858159988 1.248497457498899 4955.896374019174800 1.272377314174989 4957.548614835353874 1.276699165656179 4959.201406490272348 1.268688816774026 4960.854749167574482 1.262683838287331 4962.508643050960018 1.270908804421643 4964.163088324204182 1.277195211442427 4965.818085171131315 1.266898984416562 4967.473633775627604 1.257966376103080 4969.129734321639262 1.245241969867807 4970.786386993186170 1.227961602684329 4972.443591974338233 1.222683424523802 4974.101349449227200 1.230675432715553 4975.759659602043030 1.236366933401996 4977.418522617054805 1.223395252065135 4979.077938678573446 1.210031061350205 4980.737907970979904 1.214859848782560 4982.398430678708792 1.222021066211990 4984.059506986273846 1.221985714244905 4985.721137078233369 1.216009712778033 4987.383321139213876 1.208639345407021 4989.046059353896453 1.200537679074970 4990.709351907040400 1.191440038349481 4992.373198983450493 1.187564739083706 4994.037600767998811 1.180135483577831 4995.702557445614730 1.161026243001812 4997.368069201302205 1.149921896881339 4999.034136220114306 1.161556826203593 5000.700758687167763 1.187222118461279 5002.367936787644794 1.208110145564646 5004.035670706781275 1.222274635214618 5005.703960629891299 1.228690425964693 5007.372806742336252 1.219126415208893 5009.042209229542095 1.207738958575331 5010.712168276992998 1.190915009930380 5012.382684070251344 1.159732674679826 5014.053756794924084 1.117874752695358 5015.725386636685471 1.061617740618929 5017.397573781267965 1.001947689361769 5019.070318414480425 0.961254050130996 5020.743620722177184 0.930231301028705 5022.417480890281695 0.911164452026154 5024.091899104772892 0.905813852783601 5025.766875551708836 0.904142363003434 5027.442410417190331 0.892599744036940 5029.118503887390034 0.877911162101125 5030.795156148533351 0.874254997082250 5032.472367386927544 0.868132419152798 5034.150137788923530 0.853650108398501 5035.828467540939528 0.842265805208814 5037.507356829451965 0.820368653134232 5039.186805841014575 0.791123968743499 5040.866814762227477 0.777348698244349 5042.547383779758093 0.771007649372940 5044.228513080332050 0.763047326255239 5045.910202850750466 0.756438021159192 5047.592453277863569 0.748974365948668 5049.275264548587074 0.739908082486036 5050.958636849896720 0.735328505424001 5052.642570368841916 0.737804291011280 5054.327065292523002 0.733018806788984 5056.012121808105803 0.724158125961257 5057.697740102817988 0.720247809037415 5059.383920363945435 0.717808067110440 5061.070662778852238 0.716289144933599 5062.757967534949785 0.717742262449581 5064.445834819714946 0.723610934043851 5066.134264820683711 0.725010438027276 5067.823257725471194 0.722112812389393 5069.512813721736165 0.722980002870732 5071.202932997207427 0.724677715048737 5072.893615739671986 0.723121459949070 5074.584862136993252 0.719630419420832 5076.276672377081923 0.716372682398999 5077.969046647916912 0.712619519924452 5079.661985137535339 0.706228687492657 5081.355488034050722 0.705825892738014 5083.049555525626602 0.714551164462988 5084.744187800491090 0.724249763510661 5086.439385046932330 0.732770732774872 5088.135147453314858 0.739924402038356 5089.831475208053234 0.742435187416252 5091.528368499627504 0.746170857934060 5093.225827516575919 0.752616938164676 5094.923852447514946 0.758677183783222 5096.622443481110167 0.762917088651608 5098.321600806092647 0.759755409675149 5100.021324611253476 0.755039587883014 5101.721615085461053 0.754372080655239 5103.422472417631070 0.756493970110870 5105.123896796747431 0.758784348371691 5106.825888411852247 0.758819219487665 5108.528447452065848 0.758665713270509 5110.231574106557673 0.759793755992546 5111.935268564562648 0.761170266878724 5113.639531015380271 0.762787604055314 5115.344361648368249 0.762138335270392 5117.049760652962505 0.761587868345185 5118.755728218646254 0.765540136431207 5120.462264534971837 0.768122832279846 5122.169369791548888 0.766630729378343 5123.877044178067081 0.763352548438669 5125.585287884261561 0.760563310456562 5127.294101099937507 0.764398680065677 5129.003484014958303 0.761036448807995 5130.713436819265553 0.748938664394430 5132.423959702849061 0.738070595151234 5134.135052855766844 0.732874664342822 5135.846716468135128 0.731071464120613 5137.558950730148354 0.729416136818137 5139.271755832050985 0.725939914765089 5140.985131964152970 0.714184104328257 5142.699079316826101 0.702882014724536 5144.413598080518568 0.703952832827985 5146.128688445727676 0.711064787607271 5147.844350603018029 0.710821003565489 5149.560584743013351 0.708607440639769 5151.277391056418310 0.713273391602610 5152.994769733983048 0.721458938904717 5154.712720966526831 0.731084057895751 5156.431244944929858 0.740466618719853 5158.150341860147819 0.742398092882933 5159.870011903186423 0.744168154412626 5161.590255265120504 0.749396090699090 5163.311072137088559 0.750395002752196 5165.032462710287291 0.743619118330232 5166.754427175992532 0.730748248475180 5168.476965725527407 0.719846698068200 5170.200078550286889 0.710259226629474 5171.923765841721433 0.709202675283627 5173.648027791363347 0.714850970128257 5175.372864590790414 0.705913388234124 5177.098276431653176 0.697593247624120 5178.824263505657655 0.702573720637103 5180.550826004589908 0.709472920530816 5182.277964120286924 0.710988286473997 5184.005678044652086 0.715250355140747 5185.733967969646983 0.728990518074039 5187.462834087316878 0.737520230611995 5189.192276589750691 0.747520873825418 5190.922295669110099 0.759917015682348 5192.652891517613170 0.760086230687699 5194.384064327558917 0.753252742400027 5196.115814291295464 0.750066845971019 5197.848141601238240 0.754602698787487 5199.581046449864516 0.759088996272332 5201.314529029727964 0.758572869163313 5203.048589533434097 0.757268718339377 5204.783228153654818 0.754940044332207 5206.518445083123879 0.761862518192970 5208.254240514652338 0.773234994162850 5209.990614641102184 0.784026064777658 5211.727567655403618 0.798380980963030 5213.465099750545050 0.804272121631567 5215.203211119597654 0.802221196023464 5216.941901955678986 0.803570878845415 5218.681172451977545 0.806521970902920 5220.421022801744584 0.810674218066662 5222.161453198292293 0.820379559567950 5223.902463835011986 0.835003768328849 5225.644054905344092 0.847721839628849 5227.386226602799070 0.858284063361371 5229.128979120945587 0.874587550676786 5230.872312653434165 0.886406091771290 5232.616227393962617 0.893617226456358 5234.360723536299702 0.909976268277173 5236.105801274272380 0.921176846582260 5237.851460801789472 0.925023579181457 5239.597702312807087 0.930217677337875 5241.344526001354097 0.932460971597576 5243.091932061513944 0.929009523705178 5244.839920687454651 0.932509611228725 5246.588492073392445 0.949445217371121 5248.337646413612674 0.962857344126470 5250.087383902459806 0.971527545961447 5251.837704734360159 0.982504510113991 5253.588609103789167 0.988749737994482 5255.340097205291386 0.997034665929589 5257.092169233470486 1.009866967737171 5258.844825383013813 1.023740297700135 5260.598065848653277 1.030201177694867 5262.351890825193550 1.032239574178361 5264.106300507501146 1.035905683779174 5265.861295090518979 1.043280731915414 5267.616874769240894 1.054221874729242 5269.373039738733496 1.059403938630864 5271.129790194117959 1.062811000378915 5272.887126330601859 1.064598935928947 5274.645048343438248 1.067157901919587 5276.403556427952935 1.072615385897965 5278.162650779533578 1.078670207669627 5279.922331593632407 1.087236692156875 5281.682599065778049 1.093489024225900 5283.443453391550975 1.099474974543871 5285.204894766602592 1.116055477561248 5286.966923386642520 1.134668774152408 5288.729539447462230 1.147885124873885 5290.492743144902306 1.161059003134966 5292.256534674876093 1.169677725584764 5294.020914233353324 1.167206415562285 5295.785882016387404 1.154776253322813 5297.551438220079945 1.150805157297953 5299.317583040604404 1.147691475498584 5301.084316674194270 1.143358356253770 5302.851639317163063 1.137010793772512 5304.619551165875237 1.127429415171592 5306.388052416765277 1.117979349904600 5308.157143266328603 1.114978706956988 5309.926823911140673 1.117718369221438 5311.697094547826055 1.129621046578068 5313.467955373083896 1.148542566321253 5315.239406583670643 1.160781862141604 5317.011448376424596 1.177722301089742 5318.784080948233168 1.192055021018734 5320.557304496056531 1.199501866808406 5322.331119216913066 1.213979645274444 5324.105525307905737 1.227147858469913 5325.880522966184799 1.241474770656029 5327.656112388971451 1.251892005119623 5329.432293773553283 1.250397647184172 5331.209067317279732 1.241316215157188 5332.986433217579361 1.228080986384342 5334.764391671933481 1.213690053331549 5336.542942877891619 1.214845926449262 5338.322087033065145 1.223593091217715 5340.101824335149104 1.227940981047003 5341.882154981885833 1.233340831017408 5343.663079171088611 1.226779139547233 5345.444597100634383 1.226782868092357 5347.226708968479215 1.244574521395876 5349.009414972631930 1.265601354132733 5350.792715311167740 1.283386547277949 5352.576610182228251 1.292307565891907 5354.361099784034195 1.284259647177203 5356.146184314857237 1.267878263974120 5357.931863973039071 1.256044086470185 5359.718138956983239 1.251988493944833 5361.505009465176954 1.254065392271318 5363.292475696154725 1.246905921249269 5365.080537848523818 1.228360589936459 5366.869196120953347 1.210680932886179 5368.658450712192462 1.202876589260715 5370.448301821043060 1.199256816562831 5372.238749646377983 1.186292918095245 5374.029794387128277 1.174320219524925 5375.821436242312302 1.167156094233199 5377.613675410993892 1.157649058484983 5379.406512092312369 1.141807816409642 5381.199946485465262 1.130295170932687 5382.993978789734683 1.121222046419705 5384.788609204451859 1.109145677659360 5386.583837929018955 1.095028102165730 5388.379665162907258 1.087226460441744 5390.176091105648084 1.093109000865481 5391.973115956854599 1.094911016648096 5393.770739916189996 1.084170267820893 5395.568963183390224 1.074031452258520 5397.367785958253990 1.070646470056637 5399.167208440660943 1.062667675721891 5400.967230830539847 1.058317106548177 5402.767853327895864 1.063474104183580 5404.569076132790542 1.065750845774555 5406.370899445370924 1.058537378228321 5408.173323465834983 1.044744326830433 5409.976348394451634 1.043220651563343 5411.779974431551636 1.054691159287702 5413.584201777548515 1.064697706420638 5415.389030632906724 1.079159950038626 5417.194461198163481 1.110985574034404 5419.000493673915116 1.137419755873925 5420.807128260844365 1.145645480771702 5422.614365159682166 1.154582910703861 5424.422204571232214 1.177659689606909 5426.230646696361873 1.205655396482411 5428.039691736017630 1.219718401132158 5429.849339891201453 1.221990504664038 5431.659591362983520 1.227458902599164 5433.470446352497675 1.230813924942526 5435.281905060961435 1.228404887017202 5437.093967689643250 1.235930775600702 5438.906634439882509 1.249580778490469 5440.719905513086815 1.261826233229126 5442.533781110723794 1.265094752316264 5444.348261434349297 1.265491855739761 5446.163346685563738 1.272370847796566 5447.979037066045748 1.283993349137532 5449.795332777530348 1.287186591011380 5451.612234021842596 1.287071814623592 5453.429741000852118 1.285941896523410 5455.247853916505846 1.288387207265557 5457.066572970808920 1.295309027922359 5458.885898365853791 1.308786961371882 5460.705830303782932 1.327496421011832 5462.526368986808848 1.344567264844411 5464.347514617209526 1.361280623049272 5466.169267397344811 1.376930972385694 5467.991627529627294 1.390584353590123 5469.814595216540511 1.398744716644450 5471.638170660630749 1.405736198627374 5473.462354064528881 1.416640556059746 5475.287145630916712 1.423091722328249 5477.112545562547893 1.415042909306441 5478.938554062240655 1.410735795016740 5480.765171332895079 1.416339046043735 5482.592397577462179 1.417759808561686 5484.420232998969368 1.418672458175970 5486.248677800501355 1.419151106187064 5488.077732185231071 1.418523894298259 5489.907396356381469 1.420245810300481 5491.737670517248262 1.418493043181345 5493.568554871189917 1.406849603324563 5495.400049621647668 1.396630107669300 5497.232154972117314 1.390540766562967 5499.064871126165599 1.389360407920474 5500.898198287427476 1.397536746910696 5502.732136659599746 1.405193166108255 5504.566686446465610 1.408817364873461 5506.401847851858292 1.405291933170306 5508.237621079682867 1.397137813440710 5510.074006333910802 1.400400934629803 5511.911003818595418 1.415028178857924 5513.748613737840969 1.422463145663436 5515.586836295828107 1.424141349538816 5517.425671696795689 1.418027740502590 5519.265120145071705 1.400820293341964 5521.105181845034167 1.383343790354333 5522.945857001133845 1.381598600392835 5524.787145817883356 1.385627603884508 5526.629048499882629 1.387243740270079 5528.471565251782522 1.374558461044530 5530.314696278306656 1.359734149191719 5532.158441784240495 1.346524971530351 5534.002801974457725 1.330741123286847 5535.847777053881146 1.323489375371271 5537.693367227507224 1.321400888061673 5539.539572700396093 1.315049915485830 5541.386393677693377 1.309649404183975 5543.233830364596542 1.303246248847736 5545.081882966374906 1.300668214140114 5546.930551688361447 1.306077092686817 5548.779836735978279 1.309309633444223 5550.629738314692077 1.306504636872705 5552.480256630050462 1.300819640347181 5554.331391887658356 1.295693842255575 5556.183144293210717 1.291696980741725 5558.035514052451617 1.288072956013328 5559.888501371199709 1.277009569208990 5561.742106455342764 1.264292394404587 5563.596329510830401 1.260934527680737 5565.451170743699549 1.261583407301502 5567.306630360038071 1.259766184315299 5569.162708566007495 1.258896408081054 5571.019405567834838 1.252603231988514 5572.876721571828966 1.242736595861972 5574.734656784352410 1.235502570992549 5576.593211411844095 1.233330046850716 5578.452385660804794 1.238087763027435 5580.312179737818951 1.235066584692633 5582.172593849525583 1.225838081181982 5584.033628202636464 1.225724678118336 5585.895283003928853 1.225510545870348 5587.757558460264590 1.215902713783871 5589.620454778556450 1.214759038580870 5591.483972165794512 1.217096783024123 5593.348110829028883 1.210959183147712 5595.212870975397891 1.208097756002521 5597.078252812091705 1.209593107546548 5598.944256546375073 1.207746007995815 5600.810882385575496 1.211268759000593 5602.678130537107791 1.206172060625579 5604.546001208438611 1.204931464796314 5606.414494607108281 1.206395699609108 5608.283610940721701 1.199207475208313 5610.153350416971080 1.196027896644644 5612.023713243597740 1.200289918891467 5613.894699628420312 1.198800942206726 5615.766309779326548 1.204434153736722 5617.638543904266953 1.201221922240715 5619.511402211279346 1.197155803719616 5621.384884908454296 1.209326731250557 5623.258992203955131 1.219090633462509 5625.133724306009753 1.223271676554997 5627.009081422935196 1.232585678044490 5628.885063763097605 1.234276241374666 5630.761671534939524 1.228400578472725 5632.638904946967159 1.220879269876201 5634.516764207773122 1.214810270880506 5636.395249526003681 1.210041959437982 5638.274361110377868 1.200304617263740 5640.154099169682013 1.186907947312246 5642.034463912787032 1.177074186442420 5643.915455548614773 1.168561549577436 5645.797074286166207 1.160622030402758 5647.679320334504155 1.159002425378356 5649.562193902777835 1.164083066579849 5651.445695200189220 1.175232566530320 5653.329824436017589 1.169252350500057 5655.214581819604973 1.154309414214474 5657.099967560378900 1.148755619115107 5658.985981867821465 1.148886677771863 5660.872624951491161 1.152037706597773 5662.759897021007419 1.156315272844862 5664.647798286079706 1.152635924749522 5666.536328956468424 1.133778523617291 5668.425489242010372 1.104516041516789 5670.315279352606922 1.089490272601276 5672.205699498246759 1.087960347926803 5674.096749888969498 1.082413382113257 5675.988430734892063 1.071319226106210 5677.880742246202317 1.059940136459210 5679.773684633150879 1.048652073293687 5681.667258106075678 1.038252556163735 5683.561462875368306 1.035734776627356 5685.456299151495841 1.038605437740749 5687.351767144990845 1.035369327523761 5689.247867066470462 1.031906063393952 5691.144599126608227 1.028573603657632 5693.041963536152252 1.026296989307540 5694.939960505914314 1.024681340348879 5696.838590246794411 1.015596925573821 5698.737852969746200 1.000945363163926 5700.637748885797919 0.985787336361770 5702.538278206045106 0.970479602082707 5704.439441141667885 0.956700376067990 5706.341237903900947 0.945278072419033 5708.243668704055381 0.927986527059904 5710.146733753505941 0.909984407888956 5712.050433263717423 0.894778289022926 5713.954767446203732 0.887287332685065 5715.859736512559721 0.892001119028286 5717.765340674442086 0.896706494201785 5719.671580143596657 0.900207540489923 5721.578455131821102 0.912369894783410 5723.485965850990397 0.918479315220105 5725.394112513045002 0.920819930404319 5727.302895330012689 0.924733343616208 5729.212314513975798 0.935683127081378 5731.122370277089431 0.950205448724051 5733.033062831578718 0.948971722148910 5734.944392389752466 0.944130956731118 5736.856359163976776 0.942729816974835 5738.768963366690514 0.935564416010189 5740.682205210406210 0.934585837641285 5742.596084907700060 0.937131631738829 5744.510602671238303 0.939891375965846 5746.425758713737196 0.936757897247161 5748.341553247993033 0.920276651912535 5750.257986486866685 0.909685665936755 5752.175058643305420 0.919196082851929 5754.092769930312897 0.933822042309730 5756.011120560966447 0.937775771943543 5757.930110748412517 0.933772326629223 5759.849740705882141 0.928109028909450 5761.770010646661831 0.920862342978417 5763.690920784115406 0.915681640799982 5765.612471331671259 0.927457328032124 5767.534662502846913 0.950075472231519 5769.457494511213554 0.953401827804834 5771.380967570418761 0.951275390858262 5773.305081894175601 0.953458366724397 5775.229837696287177 0.959693625948884 5777.155235190608437 0.975155040473600 5779.081274591073452 0.991642886955175 5781.007956111679960 1.007462518945423 5782.935279966514827 1.011205010354470 5784.863246369721310 1.000780726634526 5786.791855535515424 1.006024641539822 5788.721107678184126 1.022250565773093 5790.651003012097135 1.030879395395108 5792.581541751684199 1.041529157664418 5794.512724111447824 1.049690694004322 5796.444550305965095 1.060961918103078 5798.377020549875851 1.071795172899734 5800.310135057912703 1.080967072955162 5802.243894044860099 1.090657522838786 5804.178297725578886 1.092106946307039 5806.113346314996306 1.089440426357857 5808.049040028132367 1.087774182774113 5809.985379080056191 1.086301623167459 5811.922363685916935 1.092195902953778 5813.859994060929239 1.111223921047779 5815.798270420396875 1.130390155885831 5817.737192979679094 1.148934875171836 5819.676761954210633 1.168635185275049 5821.616977559493534 1.181865913644996 5823.557840011118969 1.191649893605256 5825.499349524732679 1.203793517921937 5827.441506316057712 1.211265761182096 5829.384310600884419 1.208256253726038 5831.327762595090462 1.199668547317503 5833.271862514608074 1.189510818677400 5835.216610575451341 1.179786644303529 5837.162006993696195 1.173129224218513 5839.108051985507700 1.175453961634831 5841.054745767110035 1.168083061175444 5843.002088554800139 1.154586953332693 5844.950080564945893 1.144849695713275 5846.898722014000668 1.142054478592137 5848.848013118475137 1.140991779966695 5850.797954094957277 1.142538180434615 5852.748545160100548 1.149342664515555 5854.699786530650272 1.148741132883498 5856.651678423404519 1.152933689843618 5858.604221055240487 1.158070377523263 5860.557414643106313 1.166928529603880 5862.511259404018347 1.174846124420557 5864.465755555082069 1.179363800407516 5866.420903313458439 1.178128419164097 5868.376702896385723 1.171225711947003 5870.333154521169490 1.162569658687167 5872.290258405203531 1.159539095538403 5874.248014765938933 1.150561623194861 5876.206423820905002 1.146931179568271 5878.165485787696525 1.150902362856913 5880.125200883996513 1.157003672207884 5882.085569327548910 1.160943891789141 5884.046591336169513 1.169147311638397 5886.008267127745967 1.178172782890045 5887.970596920252319 1.177960672492083 5889.933580931719916 1.180035638514235 5891.897219380258321 1.171464632133467 5893.861512484043487 1.159390099548354 5895.826460461341412 1.154266052702802 5897.792063530474479 1.154461703785719 5899.758321909843289 1.151220742213361 5901.725235817914836 1.146650356836764 5903.692805473247063 1.145757107479325 5905.661031094452483 1.146312820602256 5907.629912900221825 1.151191037702598 5909.599451109315851 1.167465241573673 5911.569645940582632 1.174636402665170 5913.540497612928448 1.167779690208768 5915.512006345334157 1.155032319739065 5917.484172356858835 1.149545845657693 5919.456995866625221 1.144864877852071 5921.430477093847003 1.138441923031470 5923.404616257794260 1.132303211217525 5925.379413577817104 1.122132163414988 5927.354869273329314 1.114913721299336 5929.330983563839254 1.117866733703990 5931.307756668909860 1.126486789417571 5933.285188808181374 1.131519661227591 5935.263280201363159 1.123717828225521 5937.242031068253709 1.112341310348744 5939.221441628709727 1.102677640470720 5941.201512102666129 1.085089658708749 5943.182242710123319 1.068070185972823 5945.163633671176285 1.059499483559048 5947.145685205970949 1.052335247105393 5949.128397534737815 1.044325846717059 5951.111770877771050 1.043209539351719 5953.095805455456684 1.044635921571334 5955.080501488238951 1.044192682601110 5957.065859196638485 1.046893328320321 5959.051878801244129 1.056741056391218 5961.038560522737498 1.048604115255833 5963.025904581854775 1.031874517877962 5965.013911199412178 1.010251458127395 5967.002580596294138 0.987672727385006 5968.991912993473306 0.966097356427937 5970.981908611984181 0.948326606248144 5972.972567672934019 0.931591314593658 5974.963890397502837 0.914647973111330 5976.955877006960691 0.900875009735784 5978.948527722634026 0.898147556231852 5980.941842765925685 0.890345046948562 5982.935822358318546 0.884602213792565 5984.930466721358243 0.879434776842813 5986.925776076684997 0.876972581204426 5988.921750645991779 0.880589366532011 5990.918390651056143 0.876948532458260 5992.915696313718399 0.870257115084359 5994.913667855915264 0.864790328365931 5996.912305499636204 0.863254292774129 5998.911609466953450 0.857518125808800 6000.911579980005627 0.848766876969053 6002.912217261022306 0.840767952172705 6004.913521532293089 0.827061114042949 6006.915493016182154 0.806038231749915 6008.918131935126439 0.791669648465840 6010.921438511652923 0.780055888387157 6012.925412968345881 0.768240484124761 6014.930055527868717 0.759783987806463 6016.935366412952135 0.758171594842564 6018.941345846424156 0.758675377475537 6020.947994051161004 0.762469204095897 6022.955311250127124 0.764527801177867 6024.963297666348808 0.765864072451602 6026.971953522950571 0.771844709945546 6028.981279043107861 0.781658639222014 6030.991274450080709 0.789999930915127 6033.001939967194630 0.801678503247620 6035.013275817869726 0.814580706245648 6037.025282225582487 0.822115410260450 6039.037959413888530 0.832075674645586 6041.051307606411683 0.858923934804872 6043.065327026870364 0.886473595375772 6045.080017899037557 0.899555266086565 6047.095380446769923 0.914796618263350 6049.111414893994151 0.923240746735567 6051.128121464709693 0.922269207139547 6053.145500383006947 0.929156721960090 6055.163551873030883 0.940374037186471 6057.182276159012872 0.947653690431461 6059.201673465247950 0.952483637230319 6061.221744016124831 0.960847207114651 6063.242488036091345 0.972886728047324 6065.263905749673540 0.977083177209771 6067.285997381467496 0.983586015976269 6069.308763156162968 0.995943839074514 6071.332203298504282 1.001281290633282 6073.356318033319440 1.001959724775987 6075.381107585502832 0.997231608986540 6077.406572180045259 0.989090628570090 6079.432712041989362 0.984190357421919 6081.459527396464182 0.972064535991909 6083.487018468663337 0.957068579390810 6085.515185483877758 0.952342131073563 6087.544028667452039 0.944026792326202 6089.573548244813537 0.930987975298994 6091.603744441458730 0.923164276391289 6093.634617482976864 0.913031892380636 6095.666167595013576 0.900512600249162 6097.698395003298174 0.899248186739199 6099.731299933626360 0.900653488116679 6101.764882611889334 0.901421681643517 6103.799143264033773 0.895749251970750 6105.834082116090940 0.885273791018869 6107.869699394162126 0.882626589905467 6109.905995324423202 0.882385456000649 6111.942970133139170 0.886499338430193 6113.980624046636876 0.879424196286124 6116.018957291322295 0.871135625666695 6118.057970093667791 0.878860081349693 6120.097662680245776 0.884291561102115 6122.138035277681411 0.898621552140188 6124.179088112682621 0.918717831951306 6126.220821412027362 0.930602279007769 6128.263235402586361 0.937782964058370 6130.306330311289457 0.947699273523915 6132.350106365146530 0.960560278514962 6134.394563791237488 0.965487445924068 6136.439702816736826 0.967107151211202 6138.485523668876340 0.988566942424439 6140.532026574970587 1.005771695278286 6142.579211762399609 1.029713380545739 6144.627079458642584 1.066524107379055 6146.675629891235076 1.082390531725848 6148.724863287791777 1.077217340070528 6150.774779876000139 1.084062234242475 6152.825379883641290 1.091120635992383 6154.876663538552748 1.105955999888090 6156.928631068656614 1.111312203730010 6158.981282701940472 1.108892201607209 6161.034618666491042 1.106744519343347 6163.088639190449612 1.097760336950461 6165.143344502042055 1.099908773477851 6167.198734829560635 1.118023759908537 6169.254810401396753 1.131673340106398 6171.311571445995469 1.141350590409253 6173.369018191886425 1.147790773520052 6175.427150867673845 1.154850114446313 6177.485969702034708 1.155848821076134 6179.545474923737856 1.148619133148150 6181.605666761610337 1.145435926148460 6183.666545444564690 1.133073067959056 6185.728111201578940 1.119667101286903 6187.790364261729337 1.114224432593644 6189.853304854148519 1.111236453141374 6191.916933208052797 1.104036697152901 6193.981249552727604 1.095851301516697 6196.046254117553872 1.089763124936766 6198.111947131969828 1.084520087543744 6200.178328825497374 1.073240742677224 6202.245399427729353 1.058590399970474 6204.313159168350467 1.055791627090949 6206.381608277107262 1.052751183017392 6208.450746983827230 1.036888043990247 6210.520575518407895 1.020539682049560 6212.591094110843187 1.007855558447563 6214.662302991183424 0.994532103133190 6216.734202389563507 0.985307838294216 6218.806792536189278 0.975289103308005 6220.880073661360257 0.976843347096358 6222.954045995434171 0.985479746748295 6225.028709768853332 0.979467073855279 6227.104065212129171 0.976377783397096 6229.180112555869528 0.979703272377773 6231.256852030739537 0.976905617994807 6233.334283867488921 0.971906782741459 6235.412408296935610 0.982345120963938 6237.491225549996670 0.985107555550243 6239.570735857645559 0.989015791181410 6241.650939450937585 0.986065212866196 6243.731836561006276 0.969070346297445 6245.813427419057916 0.949752417609801 6247.895712256391562 0.933402198095647 6249.978691304366293 0.924697977898108 6252.062364794424866 0.915372724508579 6254.146732958078246 0.904498518434421 6256.231796026937445 0.880968686757445 6258.317554232669863 0.854197334896656 6260.404007807026574 0.826882774006206 6262.491156981826862 0.808562486581075 6264.579001988991877 0.811080087074706 6266.667543060497337 0.818105636300593 6268.756780428401726 0.815909183930372 6270.846714324838103 0.812875412355365 6272.937344982033210 0.814762958539828 6275.028672632272901 0.815695378606443 6277.120697507927616 0.825942814384695 6279.213419841436917 0.836443307039332 6281.306839865339498 0.842991127286904 6283.400957812230445 0.845138851176942 6285.495773914790334 0.841486157998930 6287.591288405768864 0.836701047316440 6289.687501518014869 0.836194571496428 6291.784413484434481 0.840911200323184 6293.882024538017504 0.843444941855899 6295.980334911825594 0.834185921141294 6298.079344839016812 0.825610123459877 6300.179054552808338 0.826520865639984 6302.279464286501934 0.831766181601132 6304.380574273474849 0.833356020400635 6306.482384747179822 0.834864094708957 6308.584895941161449 0.830482292008805 6310.688108089027082 0.821922337611511 6312.792021424466839 0.804712290272606 6314.896636181241774 0.796381294238015 6317.001952593212991 0.792398997348158 6319.107970894295249 0.783413661778894 6321.214691318492441 0.779343462379684 6323.322114099877581 0.772873472849371 6325.430239472620997 0.767469351746840 6327.539067670953955 0.776061352993629 6329.648598929189575 0.795213651367689 6331.758833481713737 0.813715527987944 6333.869771563010545 0.835621349262357 6335.981413407621403 0.850828273173103 6338.093759250174116 0.866530756511577 6340.206809325366521 0.879813603465713 6342.320563867995588 0.893917777251952 6344.435023112914678 0.919472525388920 6346.550187295066280 0.937637047143021 6348.666056649461098 0.941817898317118 6350.782631411208058 0.945276538922576 6352.899911815476116 0.947223591277844 6355.017898097518810 0.949036845330560 6357.136590492661526 0.956195833270372 6359.255989236326968 0.962510882381736 6361.376094563997867 0.968464972852191 6363.496906711241536 0.966489345993777 6365.618425913697138 0.959987906679808 6367.740652407102061 0.970297127201192 6369.863586427252812 0.982305440979271 6371.987228210030480 0.985093287720915 6374.111577991396189 0.986414245584617 6376.236636007381094 0.992754708772970 6378.362402494116395 1.001650054134741 6380.488877687792410 1.016463150464278 6382.616061824683129 1.026976554422092 6384.743955141136212 1.043851371899483 6386.872557873597543 1.057614474223397 6389.001870258572126 1.061523229201365 6391.131892532649545 1.071943364934276 6393.262624932493054 1.095753486044405 6395.394067694864134 1.112457116899072 6397.526221056581562 1.122619758143299 6399.659085254553247 1.129124289446836 6401.792660525756219 1.140103238100492 6403.926947107267551 1.152636400977062 6406.061945236225256 1.164374026190454 6408.197655149849197 1.170411051708909 6410.334077085435638 1.182338881908085 6412.471211280376338 1.201558785488983 6414.609057972124901 1.220908743427625 6416.747617398219518 1.232722478152906 6418.886889796272953 1.244852555377047 6421.026875403993472 1.249258856330515 6423.167574459150273 1.244452427025515 6425.308987199600779 1.241706017761232 6427.451113863271530 1.245878434060702 6429.593954688190934 1.251600309873834 6431.737509912444693 1.252091992217647 6433.881779774206734 1.247185949753670 6436.026764511728288 1.239818230827725 6438.172464363335166 1.226468647250241 6440.318879567450495 1.214388237351279 6442.466010362559246 1.202942099627540 6444.613856987231884 1.199448249020054 6446.762419680110725 1.188193406545658 6448.911698679938127 1.179064281846834 6451.061694225516476 1.177544278686296 6453.212406555734560 1.172063975264228 6455.363835909553018 1.161960174869661 6457.515982526033440 1.155983039746046 6459.668846644295627 1.158865694704451 6461.822428503548508 1.173214384840667 6463.976728343070135 1.186811320804369 6466.131746402243152 1.199586537629077 6468.287482920503862 1.203621638539671 6470.443938137381338 1.190874723093566 6472.601112292473772 1.182923493381389 6474.759005625482132 1.179117300645005 6476.917618376162864 1.192221715623579 6479.076950784364271 1.205731752424256 6481.237003090004691 1.210188042919327 6483.397775533103413 1.206474676100357 6485.559268353737934 1.212441181592923 6487.721481792077611 1.211315788381453 6489.884416088358194 1.214757106688724 6492.048071482920932 1.218079269140651 6494.212448216165285 1.215664990737938 6496.377546528578023 1.209329930803452 6498.543366660716856 1.202358559367535 6500.709908853243178 1.197045814056714 6502.877173346878408 1.200733556559890 6505.045160382427639 1.202027248792865 6507.213870200778729 1.203590697862013 6509.383303042893203 1.221635937668339 6511.553459149832634 1.238097610747132 6513.724338762719526 1.247369195523827 6515.895942122760971 1.261623182429436 6518.068269471241365 1.264365452256323 6520.241321049541511 1.270182850390808 6522.415097099107697 1.284228016338060 6524.589597861468064 1.295665611791731 6526.764823578228970 1.300552270010516 6528.940774491094089 1.294889499353303 6531.117450841829850 1.289934494449667 6533.294852872289994 1.286769699209689 6535.472980824399201 1.281769819903969 6537.651834940187655 1.280198996272907 6539.831415461741926 1.294307494406294 6542.011722631237717 1.303215010257837 6544.192756690924398 1.304040737193985 6546.374517883154112 1.301957656673149 6548.557006450335393 1.300165215597210 6550.740222634969541 1.318600989037652 6552.924166679628797 1.400039421623716 6555.108838826986357 1.520793130338748 6557.294239319777262 1.628496575898975 6559.480368400823863 1.681605940476393 6561.667226313022184 1.684625188308142 6563.854813299371017 1.667045490042275 6566.043129602927365 1.661676508198864 6568.232175466838271 1.682921550862552 6570.421951134324445 1.700029524261725 6572.612456848707552 1.659219017348112 6574.803692853370194 1.562381258788797 6576.995659391783192 1.458383096726322 6579.188356707498315 1.392164934101071 6581.381785044142816 1.368807995221093 6583.575944645443087 1.369927233057179 6585.770835755188273 1.371017986788621 6587.966458617255739 1.357944388590233 6590.162813475595613 1.338525250138300 6592.359900574262610 1.320244992627320 6594.557720157368749 1.311862644875012 6596.756272469117903 1.308519601219793 6598.955557753786707 1.298232836159148 6601.155576255752749 1.303195744555470 6603.356328219455463 1.306154690551712 6605.557813889425233 1.304425355397636 6607.760033510262474 1.301461944863749 6609.962987326672192 1.290101524855538 6612.166675583421238 1.283519695998897 6614.371098525362868 1.277020338703418 6616.576256397426732 1.259096970502030 6618.782149444643437 1.248359179468191 6620.988777912106343 1.235430383894904 6623.196142044996122 1.217585935617618 6625.404242088567116 1.208492768567996 6627.613078288179167 1.198690720276779 6629.822650889252145 1.193413406850562 6632.032960137292321 1.187767472902809 6634.244006277883273 1.173310662264169 6636.455789556711352 1.166733484758520 6638.668310219522937 1.154551211259128 6640.881568512153535 1.144807719101091 6643.095564680520511 1.134478153862750 6645.310298970616714 1.119457050185278 6647.525771628537768 1.103286633462667 6649.741982900441144 1.089753724447297 6651.958933032570712 1.073217140482892 6654.176622271248561 1.064591556410206 6656.395050862898643 1.051966730768987 6658.614219054004934 1.040957757812933 6660.834127091142363 1.037678038426067 6663.054775220961346 1.028449818557445 6665.276163690213252 1.019773022219320 6667.498292745712206 1.017959335707340 6669.721162634361463 1.008188445134993 6671.944773603140675 1.001487407980981 6674.169125899130449 0.996810665630455 6676.394219769474148 0.992513786758865 6678.620055461404263 0.990488670252715 6680.846633222229684 0.977608399318762 6683.073953299362074 0.960596581862763 6685.302015940273122 0.961078369525573 6687.530821392526377 0.960038107286406 6689.760369903759965 0.972582675428181 6691.990661721714787 0.999464711716162 6694.221697094195406 1.019193805949020 6696.453476269092789 1.016086921308965 6698.685999494377029 1.004500241459785 6700.919267018118262 0.995621203952459 6703.153279088453019 0.997433651941172 6705.388035953602412 1.010783757517045 6707.623537861867590 1.041702101231275 6709.859785061650655 1.070820507454878 6712.096777801416465 1.078103204830732 6714.334516329719918 1.072594158214688 6716.573000895199584 1.081708731026555 6718.812231746567704 1.100229321609940 6721.052209132642020 1.127092437176439 6723.292933302302117 1.155557295042059 6725.534404504516715 1.176785361839909 6727.776622988332747 1.167953994970339 6730.019589002897192 1.127951032742695 6732.263302797424330 1.099105929678975 6734.507764621213937 1.078808430412505 6736.752974723644002 1.065890259665914 6738.998933354196197 1.062352338680946 6741.245640762414041 1.053005056685226 6743.493097197932912 1.030335750514953 6745.741302910461854 1.004471487686970 6747.990258149817237 0.997689832524628 6750.239963165873633 1.003155051273152 6752.490418208600204 0.992139154080088 6754.741623528039781 0.983899621648006 6756.993579374340698 0.981987020957518 6759.246285997713130 0.980019131857423 6761.499743648456388 0.982627240711561 6763.753952576949814 0.990416499680557 6766.008913033674617 1.002154455674359 6768.264625269173848 1.004986262469681 6770.521089534082421 1.017081087997633 6772.778306079112554 1.036026407733170 6775.036275155080148 1.052669620056454 6777.294997012862041 1.065559989024841 6779.554471903428748 1.067531884040721 6781.814700077825364 1.050844696417790 6784.075681787202484 1.041424378516959 6786.337417282774368 1.030438206259386 6788.599906815843497 1.012697508031573 6790.863150637797844 1.007494987582158 6793.127149000102690 1.008667272675106 6795.391902154326999 1.009396826672597 6797.657410352103398 1.022429989287412 6799.923673845153644 1.039521805152540 6802.190692885278622 1.073033926853892 6804.458467724383809 1.105204264437939 6806.726998614437434 1.120521732874829 6808.996285807497770 1.125459156683611 6811.266329555700395 1.120427550907735 6813.537130111288207 1.118018393997672 6815.808687726563221 1.111930958839925 6818.081002653921132 1.091925738458786 6820.354075145835850 1.070376155546007 6822.627905454883148 1.050565723945509 6824.902493833705194 1.028833416904025 6827.177840535034193 1.012531325761072 6829.453945811677841 1.010959973677670 6831.730809916552971 1.015086866934484 6834.008433102634626 1.005086388241036 6836.286815622994254 0.988729440716157 6838.565957730778791 0.969772871279018 6840.845859679238856 0.955475328028594 6843.126521721689642 0.950271385244969 6845.407944111539109 0.946228804533560 6847.690127102271617 0.937767605620090 6849.973070947477026 0.921162362423533 6852.256775900807042 0.907683841213408 6854.541242216009778 0.900428665587793 6856.826470146912470 0.902369476217687 6859.112459947422394 0.915567869498875 6861.399211871554144 0.915936352993754 6863.686726173382340 0.905516724592829 6865.975003107076191 0.890002596624488 6868.264042926882212 0.883687234913467 6870.553845887150601 0.891733387006948 6872.844412242298858 0.889923393817519 6875.135742246831796 0.890416355797914 6877.427836155337900 0.891428957669643 6879.720694222505699 0.891672075736378 6882.014316703091026 0.898344166311053 6884.308703851940663 0.900266786507266 6886.603855923980518 0.908121090441790 6888.899773174239272 0.917599564619680 6891.196455857814726 0.919115215024730 6893.493904229891086 0.922522773057954 6895.792118545735320 0.929645707602346 6898.091099060718079 0.931985162985175 6900.390846030274588 0.926094313055404 6902.691359709931930 0.923636567336167 6904.992640355296317 0.929226983439392 6907.294688222078548 0.931999092098395 6909.597503566055821 0.931736760080238 6911.901086643096278 0.934453995411658 6914.205437709146281 0.944548749225250 6916.510557020259512 0.950975045228143 6918.816444832552406 0.967664509936639 6921.123101402235079 0.988140856553859 6923.430526985595861 1.005209148059474 6925.738721839029495 1.009195617601733 6928.047686218995295 1.005926042566437 6930.357420382044438 1.010744250080288 6932.667924584813591 1.000497486140080 6934.979199084018546 0.990495555987606 6937.291244136482419 0.982104795605045 6939.604059999091987 0.961600606914236 6941.917646928825889 0.950861348059904 6944.232005182743706 0.956181687197189 6946.547135018008703 0.968056213819259 6948.863036691852358 0.979966211638213 6951.179710461595278 0.989037005657772 6953.497156584639924 1.002124332454587 6955.815375318494262 1.005202088924070 6958.134366920729917 1.003051140113703 6960.454131649014016 1.013596814395172 6962.774669761090991 1.015456767264708 6965.095981514810774 1.003552002978406 6967.418067168092421 0.996145765676142 6969.740926978944117 0.987311991136594 6972.064561205454083 0.978110800248707 6974.388970105818771 0.963488245676046 6976.714153938299205 0.953066050677481 6979.040112961247360 0.952046842687200 6981.366847433097064 0.943793582469767 6983.694357612388558 0.949728237255412 6986.022643757727565 0.950415278534793 6988.351706127810758 0.940784668995293 6990.681544981417574 0.947057645799978 6993.012160577432951 0.945773722988104 6995.343553174806402 0.950983679339010 6997.675723032582027 0.955293075500670 7000.008670409889419 0.971214104666667 7002.342395565938205 0.982862417609549 7004.676898760044423 0.971674576903585 7007.012180251592326 0.968344934103997 7009.348240300056204 0.959134863889661 7011.685079164990384 0.944211664982986 7014.022697106059240 0.946256994898463 7016.361094382990814 0.935932722164680 7018.700271255606822 0.930010158763885 7021.040227983808109 0.911364970008909 7023.380964827604657 0.906772582198815 7025.722482047071935 0.909262778634631 7028.064779902377268 0.915805602964078 7030.407858653768926 0.933808847821245 7032.751718561604321 0.945707833583709 7035.096359886304526 0.940369682725826 7037.441782888385205 0.945044836191376 7039.787987828442056 0.951862591901220 7042.134974967178096 0.954683418761064 7044.482744565363646 0.954286900962368 7046.831296883860887 0.939985294633290 7049.180632183613852 0.936668144762356 7051.530750725672988 0.929536734931671 7053.881652771156951 0.916911575979738 7056.233338581275348 0.919913744851683 7058.585808417321459 0.926455610993332 7060.939062540693158 0.929226992288044 7063.293101212857437 0.930279562577971 7065.647924695373149 0.928375667741999 7068.003533249881002 0.925262548158490 7070.359927138128114 0.920729974861773 7072.717106621930725 0.914849735848443 7075.075071963197843 0.906818608474672 7077.433823423923968 0.896170863915946 7079.793361266185457 0.883494700352451 7082.153685752168712 0.890740185730697 7084.514797144123804 0.899541485315978 7086.876695704398117 0.898781256698770 7089.239381695415432 0.891950198486298 7091.602855379712310 0.901196352861539 7093.967117019889884 0.931201699221591 7096.332166878642965 0.941614189650683 7098.698005218747312 0.945639253342346 7101.064632303089638 0.955185544802698 7103.432048394620324 0.965128606739741 7105.800253756386155 0.959192630010600 7108.169248651513044 0.938933734012066 7110.539033343238771 0.933271697565224 7112.909608094863870 0.938155038066025 7115.280973169785284 0.936169454798570 7117.653128831482718 0.923317180105365 7120.026075343541379 0.913803830557644 7122.399812969616505 0.911988137069486 7124.774341973456103 0.907720526467993 7127.149662618889124 0.899152294069698 7129.525775169854569 0.900019891321066 7131.902679890357831 0.897041247541618 7134.280377044499801 0.885214039517553 7136.658866896461404 0.892173324354098 7139.038149710533617 0.877584993911386 7141.418225751074715 0.857783338814659 7143.799095282536655 0.854994884036981 7146.180758569454156 0.857516226322545 7148.563215876471077 0.855444557293121 7150.946467468295850 0.842394462278259 7153.330513609736045 0.825595269205290 7155.715354565685629 0.844329239603149 7158.100990601118610 0.854160563032295 7160.487421981120860 0.822578879273541 7162.874648970843737 0.816681157847233 7165.262671835535002 0.821255247234606 7167.651490840524275 0.828319384982611 7170.041106251248493 0.837728934778443 7172.431518333213717 0.853088152209081 7174.822727352022412 0.873015279066177 7177.214733573356170 0.893389331781211 7179.607537263008453 0.893665395274074 7182.001138686839113 0.901288796069989 7184.395538110803500 0.930114332356094 7186.790735800938819 0.952007685462440 7189.186732023392324 0.965497625661614 7191.583527044379480 0.970975836291209 7193.981121130211250 0.986381013009909 7196.379514547277722 0.989269421011007 7198.778707562082673 0.994767899023394 7201.178700441196270 1.014519520230880 7203.579493451283270 1.029941394835108 7205.981086859093011 1.035432015118492 7208.383480931482154 1.033068256087120 7210.786675935376479 1.028717861257293 7213.190672137798174 1.027236610239515 7215.595469805849461 1.034951764167693 7218.001069206746251 1.056590264772177 7220.407470607769028 1.061548558840474 7222.814674276295591 1.052692062931159 7225.222680479793780 1.030472486806084 7227.631489485812381 1.026674757589588 7230.041101562010226 1.036918132209911 7232.451516976117091 1.048717133052714 7234.862735995954608 1.057277308802036 7237.274758889429904 1.065517683895861 7239.687585924559244 1.051893098664833 7242.101217369428014 1.018467824656482 7244.515653492218007 1.014426391467190 7246.930894561191053 1.012467357354040 7249.346940844723576 1.011902240233969 7251.763792611255667 1.009890811420467 7254.181450129328368 1.012501047026323 7256.599913667562760 1.021396622242560 7259.019183494690878 1.012373831853968 7261.439259879513884 1.001225351570522 7263.860143090928432 1.006743443892311 7266.281833397913942 1.016910745556901 7268.704331069563523 1.029370756141351 7271.127636375034854 1.047646238258499 7273.551749583584751 1.062392816267978 7275.976670964550067 1.055551613097833 7278.402400787383158 1.058700349082675 7280.828939321602775 1.057111207309416 7283.256286836822255 1.066495958554877 7285.684443602739520 1.065634455371623 7288.113409889166178 1.066129502709698 7290.543185965979319 1.061463943202700 7292.973772103154261 1.053218000669731 7295.405168570748174 1.038269089376196 7297.837375638931007 1.023993748146593 7300.270393577940922 1.018003847561406 7302.704222658113395 0.998343454778943 7305.138863149873032 1.006847695454484 7307.574315323729934 1.025070702068657 7310.010579450302430 1.024185074018582 7312.447655800280700 1.008222553520670 7314.885544644450420 1.011502594489809 7317.324246253680030 1.008507860212533 7319.763760898952569 1.024849712997803 7322.204088851317465 1.038227063773483 7324.645230381921465 1.041609721653589 7327.087185761995897 1.035448835774603 7329.529955262883050 1.021417849391463 7331.973539155996150 1.007664164675417 7334.417937712842104 1.021075411076624 7336.863151205016038 1.031688303379316 7339.309179904220400 1.036584405180637 7341.756024082231306 1.019741193944244 7344.203684010917641 0.985908534606942 7346.652159962236510 0.969486353456812 7349.101452208255068 0.975350350381170 7351.551561021108682 0.973003151426121 7354.002486673032763 0.969135237199486 7356.454229436343667 0.963861344987064 7358.906789583473255 0.950933897194816 7361.360167386920693 0.929948226728631 7363.814363119282461 0.918398023501251