SN 1989B Ia in NGC 3627 (M66) (SABb)


Geoffrey Chaucer with an astrolabe.


OBJ:   SN 1989B Ia in NGC 3627 (M66) (SABb)).  In Leda it is
          NGC 3627 (Leda).
DISCOVERY: 1989jan30.5 by Evans (1989)
          CfA List of Supernovae.
MAX:  1989feb07.8 +/- 1 (JD 2447565.3) in B according to {wells1994}.
           See the US Navy Observatory Julian Date Converter.
           This day of the year 38.
SUPERNOVA of the YEAR:  2.

SPECTROSCOPY LOG:

         Spectrum               Date                  Phase relative to Bmax        Wavelength Range
         {wells1994}            1989jan31             -7.4                          2980.--7906. (observed)
         {wells1994}            1989feb01             -6.4                          4545.039--7065.25 (observed)
         {wells1994}            1989feb03             -4.2                          3187.743--7635.105 (observed)
         {wells1994}            1989feb04             -3.2                          3187.743--7723.977 (observed)
         {wells1994}            1989feb06             -1.4                          3108.438--10901.58 (observed)
         {wells1994}            1989feb07             -0.4                          3675.--7400. (observed)
         {wells1994}            1989feb08             -0.5                          4545.039--7065.25 (observed)

         {wells1994}            1989mar01.21          21.41                         3485.--7000. (observed)

REF:

       citet{barbon1990} Potometry and spectra.

       CfA Supernova Archive, but they
       have no SN 1989B spectra.

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

       citet{wells1994} Extensive photometry and spectra.

       citet{wells1994?} These are spectra that were
        probably taken by the wells1994 collaboration and that I probably obtained from Bruno Leibundgut 1997sep18 or
        earlier.


       SUSPECT Index.

       SUSPECT Index:  SN 1989B Ia.
        But suspect only has the barbon1990 spectra, not the wells1994 spectra.


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 721 +/- 4 km/s and
          NGC 3627 (Leda).
     I'll trust Leda just for consistency.
      not dereddened ??? (Galactic foreground .14/4=.035
          NGC 3627 (Leda).
     Schlegel et al. (1998).
      not smoothed ????, not photometric ????
      Derived maximum in some band is  (see above).

COMMENT:

OBS:

Date: 1989feb (JD ) with 1989feb07.8 (JD 2447565.3) for B maximum gives:
      day =  - 2447565.3 =

      day = 39.41 - 18.0 = 21.41  from my old values

      JD = 21.41 + 2447565.3 = 2447586.71  which agrees with wells1989 JD for Mar01.21 and so all is consistent.


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

       observer phase = 22.4100000000
       rest phase =     22.3562333231


&specnamelist aname='sn1989 Ia 1989_03_01' ebv=.035 epoch=22.3562333231 ! This parameter needs to updated for the particular spectrum. idifmake=0 iformat=1 ! I guess, but there is no telluric line to check. ismooth=1 ! Smoothing is needed. itick=4 itickln=4 t_rise=19.4d0 ! From {conley2006} v_helio=721. ymin2=2.e-14 ymax2=18.e-14 ymin3=.5 ymax3=2.4 wlammin1=3485. wlammax1=7000. wlammin2=3485. wlammax2=7000. wlammin3=3700. ! As far to the blue as I'd trust. wlammax3=6700. ! As far to the red as I'd trust. /
./figure/sn1989b_1989_03_01.gif Postscript plot of the spectrum.
./figure/sn1989b_1989_03_01.dif.gif Postscript plot of the spectrum with local normalization.
Information from somewhere. FITS: Fits format information from the observers if there is any. image = unred_01mar OBJ: SN Ia 1989B in NGC 3627 (M66). A normal Ia. DATE: March 1.21???? 1989. Given B_max on 89feb7.8 and the 18 day rise time, this spectrum is 39.41 ??? days after explosion. OBS: Wells REP: F_lambda (cgs) vs. lambda (ang) COR: not deredshifted????, dereddened????. COMMENT: No unreddened day 23 is available. REF: Wells~\etal 1994, AJ, 108, 2233, in Table 7 DAY: 39.41 ????? COMMENT: These initial bad points can all be omitted. 3450. 1.742106E-19 3452.5 1.615160E-19 3455. 1.118612E-19 3457.5 1.049277E-19 3460. 9.888684E-20 3462.5 9.357810E-20 3465. 8.887753E-20 3467.5 -5.026643E-14 3470. -4.701926E-14 3472.5 -3.656713E-14 3475. -2.643814E-14 3477.5 5.111695E-16 3480. -6.534835E-16 3482.5 3.565296E-15 END: 3477.260325753579764 0.854846899134076 3478.419605731423871 0.944445546557436 3479.579272200342530 1.029280366392194 3480.739325289183398 1.106486370839542 3481.899765126842340 1.187161908999567 3483.060591842252506 1.279059190582563 3484.221805564402530 1.369008465810378 3485.383406422312419 1.438234472937884 3486.545394545048566 1.507483559247399 3487.707770061717383 1.480361840075697 3488.870533101479396 1.447117088114597 3490.033683793526507 1.352218125846756 3491.197222267097004 1.241409922114132 3492.361148651470103 1.168251724406307 3493.525463075978223 1.115224268550803 3494.690165669986072 1.053655902763849 3495.855256562904287 0.983860078816285 3497.020735884184887 0.934952444984163 3498.186603763331732 0.921804253350352 3499.352860329882787 0.929187664351258 3500.519505713421950 1.005377346973336 3501.686540043576315 1.076662719111763 3502.853963450012998 1.099530014774909 3504.021776062453227 1.122404934140566 3505.189978010649611 1.129465223742733 3506.358569424402504 1.135806245903686 3507.527550433552278 1.132297462364658 3508.696921167992514 1.126652551757811 3509.866681757649985 1.098742823504531 3511.036832332497852 1.060771328843122 3512.207373022549291 1.019601560759426 3513.378303957871594 0.975889394336931 3514.549625268564341 0.950383862802024 3515.721337084775314 0.949265632934712 3516.893439536689584 0.951506691209095 3518.065932754549522 0.961619579700524 3519.238816868627509 0.967149612917140 3520.412092009244589 0.950642971881584 3521.585758306760454 0.936878522299825 3522.759815891590279 0.978983001385944 3523.934264894180615 1.021101517637808 3525.109105445026671 1.055374709217961 3526.284337674662311 1.089003427891995 3527.459961713675511 1.087619731489341 3528.635977692688357 1.077510709314592 3529.812385742369315 1.069064071701255 3530.989185993425963 1.061399702483572 3532.166378576622265 1.053573067466989 3533.343963622752653 1.045618473590116 3534.521941262660675 1.056711529849114 3535.700311627228530 1.091821829273759 3536.879074847393895 1.135355766169825 3538.058231054127191 1.196297678645448 3539.237780378445223 1.255899516934224 3540.417722951408905 1.310436536337308 3541.598058904119625 1.363986858087710 3542.778788367732886 1.408271093001786 3543.959911473437842 1.452570091788026 3545.141428352470029 1.438660666067331 3546.323339136104551 1.423904748540314 3547.505643955673804 1.403560700528989 3548.688342942540203 1.382414341325477 3549.871436228114817 1.372391929461949 3551.054923943849190 1.365760637828104 3552.238806221248979 1.316905420884005 3553.423083191853038 1.246168780537012 3554.607754987247972 1.173373866615141 3555.792821739060400 1.098908770112243 3556.978283578971059 1.040083608701629 3558.164140638694789 1.000517479774219 3559.350393049993272 0.965749239036002 3560.537040944668661 0.940093648402013 3561.724084454578588 0.923749445854557 3562.911523711612062 0.936327402496695 3564.099358847707663 0.949752374496908 3565.287589994843074 0.968209078793168 3566.476217285051462 0.985795770851540 3567.665240850398732 0.984775397349546 3568.854660822998994 0.983754683666357 3570.044477335005467 0.974231188295495 3571.234690518628668 0.964236120901870 3572.425300506109124 0.943494225564630 3573.616307429738299 0.920880210849613 3574.807711421849490 0.904881198116257 3575.999512614817831 0.890993252392182 3577.191711141072119 0.902637809661505 3578.384307133076163 0.927148913147296 3579.577300723340159 0.956552609772067 3580.770692044415682 0.989595459656813 3581.964481228908426 1.015266496930436 3583.158668409458187 1.033070198975952 3584.353253718752967 1.057427515130261 3585.548237289520330 1.091803416908474 3586.743619254543773 1.121935504873510 3587.939399746639538 1.142538729034609 3589.135578898672065 1.157720295305562 3590.332156843546727 1.153990542821115 3591.529133714224372 1.151338971917357 3592.726509643698137 1.155376318334452 3593.924284765009816 1.158805950040562 3595.122459211242131 1.152034715821983 3596.321033115532828 1.145261224149088 3597.520006611053304 1.124374546620522 3598.719379831022707 1.103121699931300 3599.919152908700653 1.087645372783046 3601.119325977403150 1.072839221871537 3602.319899170478948 1.069214100281898 3603.520872621324997 1.068090797448044 3604.722246463379179 1.060242138150736 3605.924020830134850 1.050031712774659 3607.126195855118567 1.036644278096021 3608.328771671905997 1.021652845227895 3609.531748414111917 1.016632267248988 3610.735126215408854 1.018516250814573 3611.938905209501172 1.014984436004028 3613.143085530141889 1.006418976038616 3614.347667311129953 0.991724429122940 3615.552650686302513 0.969454133325678 3616.758035789554924 0.950034269080481 3617.963822754815283 0.935318785706407 3619.170011716059889 0.921582355726313 3620.376602807305062 0.910038227940096 3621.583596162625327 0.900300658118773 3622.790991916126586 0.896214510900023 3623.998790201963857 0.892285047274354 3625.206991154333082 0.889088544244136 3626.415594907487048 0.885430074033235 3627.624601595710374 0.878157652705952 3628.834011353338155 0.871197505967451 3630.043824314744597 0.870141312591302 3631.254040614361202 0.869084767092007 3632.464660386653122 0.869737154969490 3633.675683766132806 0.870407993240996 3634.887110887355448 0.873478494357577 3636.098941884930809 0.876731443119421 3637.311176893503671 0.875486096689210 3638.523816047766559 0.873576188019962 3639.736859482453838 0.865780887905677 3640.950307332354896 0.856642423854541 3642.164159732293683 0.858630480956148 3643.378416817143261 0.864153886807114 3644.593078721816710 0.878518056197425 3645.808145581283952 0.896587994823888 3647.023617530549473 0.909187431093751 3648.239494704664594 0.918870266233786 3649.455777238723840 0.923678315228166 3650.672465267876760 0.925248007364312 3651.889558927307462 0.929507602066109 3653.107058352248714 0.935960065488439 3654.324963677977394 0.942443918654072 3655.543275039813579 0.948958877900549 3656.761992573132375 0.953316215018320 3657.981116413342988 0.955092636063669 3659.200646695903288 0.954607357706590 3660.420583556313431 0.950863177891832 3661.640927130129512 0.947509555721661 3662.861677552940819 0.944835077451700 3664.082834960387117 0.946564514137266 3665.304399488148192 0.957545127645945 3666.526371271961125 0.972663200572409 3667.748750447597104 0.998360368823278 3668.971537150875520 1.024312429847995 3670.194731517658511 1.051049164251076 3671.418333683863239 1.075243265529658 3672.642343785441881 1.089378607181570 3673.866761958396637 1.100272156053964 3675.091588338768815 1.094723497244770 3676.316823062658386 1.086272005554221 3677.542466266198971 1.058212409741692 3678.768518085572850 1.030877769491365 3679.994978657004140 1.010585586975008 3681.221848116774254 0.991261736375745 3682.449126601197804 0.986913141454734 3683.676814246639424 0.982880216832526 3684.904911189504674 0.989358952740025 3686.133417566256412 0.995839848586150 3687.362333513391604 1.037062054401078 3688.591659167456783 1.078338733749621 3689.821394665043499 1.107643279614478 3691.051540142784688 1.136583592235763 3692.282095737371947 1.155703604808489 3693.513061585528703 1.174225019415380 3694.744437824029774 1.180896603148408 3695.976224589689991 1.186478626990726 3697.208422019383306 1.178325982255278 3698.441030250016411 1.168484973111060 3699.674049418545110 1.147919187459565 3700.907479661968409 1.125703095881454 3702.141321117341249 1.108263276521010 3703.375573921754039 1.091696190597738 3704.610238212344939 1.073947929501732 3705.845314126296216 1.055942564581730 3707.080801800845165 1.035425120417888 3708.316701373265005 1.014291574166529 3709.553012980877611 0.996647679194702 3710.789736761047152 0.979948422469285 3712.026872851195094 0.966389892028540 3713.264421388777009 0.953769522154537 3714.502382511298947 0.957811623587764 3715.740756356307429 0.967292605696918 3716.979543061407639 0.996592338105892 3718.218742764238868 1.032867520601941 3719.458355602489519 1.063657010849817 3720.698381713891195 1.092393885505216 3721.938821236231433 1.107906466164417 3723.179674307333698 1.118168764118118 3724.420941065070110 1.113546793307879 3725.662621647355536 1.102714818666056 3726.904716192162141 1.073670396901473 3728.147224837496651 1.036700593351657 3729.390147721415815 1.001097993749753 3730.633484982021400 0.966104355424254 3731.877236757458832 0.939909596506797 3733.121403185930376 0.917783596485981 3734.365984405672407 0.900412367049407 3735.610980554972684 0.885287248673202 3736.856391772159441 0.873018487737064 3738.102218195619571 0.862119552366160 3739.348459963774076 0.852398722446609 3740.595117215095343 0.843247268883212 3741.842190088095776 0.835064904540550 3743.089678721347354 0.827352297841687 3744.337583253456160 0.819755886110089 3745.585903823078297 0.812214490722952 3746.834640568911254 0.807766779235712 3748.083793629712545 0.804804272447975 3749.333363144272425 0.804335001072164 3750.583349251432082 0.805045116667855 3751.833752090074995 0.810215146477865 3753.084571799142395 0.817451186082125 3754.335808517610531 0.824163499564045 3755.587462384505670 0.830641190302175 3756.839533538896831 0.820562064054785 3758.092022119910325 0.803276737424032 3759.344928266707939 0.775878012205364 3760.598252118501932 0.744250940554379 3761.851993814545494 0.716045218829662 3763.106153494152295 0.689195005635165 3764.360731296668291 0.673442063677951 3765.615727361492191 0.661860229412904 3766.871141828063173 0.669271432287165 3768.126974835879992 0.683383578918950 3769.383226524475504 0.711599465082034 3770.639897033433954 0.744444175893933 3771.896986502384152 0.775909269835910 3773.154495070999928 0.806965808830498 3774.412422879011956 0.820587445964376 3775.670770066185469 0.829434608878847 3776.929536772337542 0.825746671250534 3778.188723137327088 0.818977756369848 3779.448329301071681 0.799057885336890 3780.708355403523001 0.776283220113073 3781.968801584684570 0.742378412086166 3783.229667984601747 0.706381645744088 3784.490954743379007 0.677707364175045 3785.752662001154931 0.650176296226747 3787.014789898119034 0.627279100143671 3788.277338574504938 0.604964340961507 3789.540308170602202 0.591923418163605 3790.803698826738128 0.579778036256491 3792.067510683288674 0.576850552860439 3793.331743880673912 0.574539174653278 3794.596398559371664 0.571112355141271 3795.861474859895679 0.567643067572615 3797.126972922809273 0.576038264799123 3798.392892888720326 0.584717602548514 3799.659234898293562 0.601901718079303 3800.925999092230086 0.619361266713715 3802.193185611281933 0.641653715611500 3803.460794596243431 0.664275807324460 3804.728826187967115 0.690371559313796 3805.997280527342355 0.715146690826650 3807.266157755308086 0.730039679095239 3808.535458012850995 0.744123725595509 3809.805181441000514 0.753713539400809 3811.075328180844281 0.762905031911373 3812.345898373506316 0.770378904155627 3813.616892160161115 0.777070116423770 3814.888309682026375 0.781082053297711 3816.160151080378000 0.782683030669215 3817.432416496528276 0.777595822961865 3818.705106071839509 0.768615391563201 3819.978219947718571 0.750760676205921 3821.251758265629633 0.734206808806751 3822.525721167073243 0.720117010915068 3823.800108793601339 0.708949740280514 3825.074921286807694 0.702387031697507 3826.350158788347017 0.698512896282571 3827.625821439907668 0.698173203905555 3828.901909383230304 0.704361298265403 3830.178422760098329 0.717705668546636 3831.455361712354261 0.732926449295317 3832.732726381877001 0.749857219324612 3834.010516910595015 0.762607761719131 3835.288733440482247 0.772215882977223 3836.567376113569480 0.785399866544511 3837.846445071924791 0.800781248995742 3839.125940457666729 0.817389733720405 3840.405862412957504 0.834606453436794 3841.686211080018893 0.849674989866637 3842.966986601107692 0.863915119883910 3844.248189118532537 0.880210889027943 3845.529818774644809 0.897112305457277 3846.811875711855919 0.913515869906212 3848.094360072612744 0.929819908040858 3849.377271999413551 0.939946081753041 3850.660611634803900 0.949252829661807 3851.944379121373458 0.959764324498413 3853.228574601771015 0.970357478080884 3854.513198218680827 0.989396019902785 3855.798250114838538 1.008559355978246 3857.083730433024357 1.029251453572708 3858.369639316077155 1.050446526506584 3859.655976906871274 1.075445215329207 3860.942743348333806 1.099227039214437 3862.229938783434136 1.117317884252174 3863.517563355202583 1.132236443218086 3864.805617206704028 1.137072199630081 3866.094100481055648 1.141347331023494 3867.383013321418730 1.144333422171124 3868.672355871013679 1.147876567470195 3869.962128273095914 1.152373382919477 3871.252330670974516 1.157941262264849 3872.542963208001311 1.164900256691771 3873.834026027587242 1.173888609798145 3875.125519273180089 1.184885845349248 3876.417443088279015 1.195399856410426 3877.709797616427295 1.205552311128256 3879.002583001227322 1.213067253800038 3880.295799386318777 1.219109625405936 3881.589446915391818 1.220784009492153 3882.883525732181170 1.220699792428801 3884.178035980481582 1.221107723949163 3885.472977804122820 1.221650120528001 3886.768351346988311 1.226612351373381 3888.064156753007865 1.232299098332171 3889.360394166155857 1.236380262123444 3890.657063730466689 1.240423873273483 3891.954165590010689 1.251202033518697 3893.251699888910480 1.262124155235131 3894.549666771332795 1.274498168184095 3895.848066381503486 1.287835524408233 3897.146898863686147 1.305957831339970 3898.446164362194395 1.328144767673828 3899.745863021387777 1.362704637867159 3901.045994985684956 1.395964856302149 3902.346560399540977 1.426553917393392 3903.647559407463632 1.451729580996281 3904.948992154003918 1.469134210024342 3906.250858783773310 1.477657506947432 3907.553159441420121 1.477097449416612 3908.855894271644502 1.463465190541260 3910.159063419190261 1.440337779628510 3911.462667028862143 1.415809565751762 3912.766705245500816 1.390572945369510 3914.071178214000156 1.375181162798357 3915.376086079296783 1.363019028835695 3916.681428986388710 1.352319241820268 3917.987207080310327 1.341892263644060 3919.293420506147868 1.334833099998344 3920.600069409032130 1.327944951067100 3921.907153934154394 1.317722798396987 3923.214674226741863 1.305144952114945 3924.522630432075402 1.274354619801823 3925.831022695479078 1.244977155566036 3927.139851162337436 1.221014701358206 3928.449115978072314 1.205285388526247 3929.758817288157388 1.208558089954570 3931.068955238115450 1.223066641553720 3932.379529973512490 1.254553291989153 3933.690541639976800 1.299204837628275 3935.001990383171687 1.357273650816373 3936.313876348814574 1.413640835364972 3937.626199682665629 1.468848508727995 3938.938960530546865 1.505673611126367 3940.252159038316677 1.534361454124984 3941.565795351886209 1.544625093469266 3942.879869617210261 1.550101642312042 3944.194381980306389 1.546165318424698 3945.509332587226254 1.541130287072541 3946.824721584076542 1.542134754616115 3948.140549117006685 1.543311412760212 3949.456815332227961 1.545916965067405 3950.773520375988937 1.546831717724477 3952.090664394589112 1.541320605109024 3953.408247534374368 1.533094872235133 3954.726269941750616 1.518968229251865 3956.044731763161053 1.498158266291911 3957.363633145101630 1.468227056344241 3958.682974234111953 1.437661247423961 3960.002755176794835 1.406535616953666 3961.322976119787654 1.386689406853364 3962.643637209781900 1.373127484211909 3963.964738593513630 1.369590597080102 3965.286280417779835 1.369331779689336 3966.608262829414798 1.383831493620319 3967.930685975305096 1.400615208691852 3969.253550002383236 1.427371973055460 3970.576855057641296 1.452680392135246 3971.900601288109556 1.462185233669853 3973.224788840871042 1.468334017678296 3974.549417863057442 1.461936852388649 3975.874488501846372 1.455844841246965 3977.200000904475019 1.450378882979439 3978.525955218219224 1.446815009576232 3979.852351590406670 1.445604895388420 3981.179190168411424 1.449791142440616 3982.506471099667124 1.458104176782425 3983.834194531646517 1.471936364864330 3985.162360611873282 1.488278823511630 3986.490969487918392 1.499366628591517 3987.820021307412389 1.509222105513098 3989.149516218024473 1.507740263129796 3990.479454367475228 1.505093972455424 3991.809835903532530 1.496709564567000 3993.140660974023831 1.488470936726172 3994.471929726815233 1.480893008244153 3995.803642309824681 1.474060499431577 3997.135798871016959 1.468892715277959 3998.468399558417332 1.462641532746887 3999.801444520088353 1.454998301925505 4001.134933904146237 1.445353808881751 4002.468867858752674 1.434178050200199 4003.803246532129833 1.418818524341815 4005.138070072538994 1.401636658162648 4006.473338628293277 1.380136845543594 4007.809052347751731 1.357736771052453 4009.145211379335251 1.341292871550461 4010.481815871502022 1.326091903645841 4011.818865972763888 1.320500643343844 4013.156361831681352 1.316850194893679 4014.494303596861300 1.319714658633194 4015.832691416972011 1.322085670185399 4017.171525440719506 1.323600009694988 4018.510805816862558 1.315930855935133 4019.850532694206322 1.299182607900199 4021.190706221617802 1.272689837038620 4022.531326548000379 1.240741545346563 4023.872393822312461 1.212368465367802 4025.213908193557472 1.184992197042371 4026.555869810800232 1.162198246927902 4027.898278823143755 1.140340702586538 4029.241135379744719 1.126647079859185 4030.584439629805274 1.116842975124428 4031.928191722589418 1.122009199218186 4033.272391807399345 1.126293664476212 4034.617040033590001 1.128942530126613 4035.962136550562718 1.124903548946923 4037.307681507781581 1.114061144393491 4038.653675054746600 1.103310878902424 4040.000117341013265 1.092610370400841 4041.347008516181631 1.082130473764688 4042.694348729914964 1.071706739423395 4044.042138131913362 1.061576155341752 4045.390376871931494 1.052609196690267 4046.739065099769050 1.055471018471678 4048.088202965288929 1.059620297767696 4049.437790618390864 1.067858306103972 4050.787828209029612 1.074595904059263 4052.138315887204499 1.078999735407255 4053.489253802978510 1.081564415589970 4054.840642106451469 1.082592096743879 4056.192480947778222 1.080685319247930 4057.544770477161819 1.077515506682062 4058.897510844853969 1.080979655089957 4060.250702201166405 1.085621229491869 4061.604344696449971 1.094491153458179 4062.958438481109170 1.102863374960682 4064.312983705594888 1.108781541093307 4065.667980520420770 1.114739488166951 4067.023429076137290 1.120776805948240 4068.379329523350407 1.122027731268177 4069.735682012711095 1.118260882555101 4071.092486694933541 1.110616949954110 4072.449743720770130 1.100878794265608 4073.807453241026906 1.094782069412595 4075.165615406555844 1.089528097580688 4076.524230368273038 1.081915664864423 4077.883298277130962 1.073653082346103 4079.242819284137113 1.061772046654176 4080.602793540345829 1.048262483300218 4081.963221196873292 1.031056066204560 4083.324102404873884 1.014006811072234 4084.685437315556555 0.997133834217945 4086.047226080177097 0.984481266568903 4087.409468850052690 0.974198510660256 4088.772165776540987 0.967380327476278 4090.135317011051484 0.961376676609789 4091.498922705041423 0.963815245800609 4092.862983010031712 0.966378734355871 4094.227498077579185 0.968650192072359 4095.592468059297971 0.968632693398882 4096.957893106846313 0.963820987045789 4098.323773371947027 0.960990444672138 4099.690109006359307 0.960167769042715 4101.056900161899648 0.959886594209068 4102.424146990432746 0.959870519991220 4103.791849643871501 0.957600572889495 4105.160008274190659 0.955046467729212 4106.528623033404074 0.957510627144095 4107.897694073580169 0.958955818581274 4109.267221546832843 0.956370724047937 4110.637205605340569 0.952507870774013 4112.007646401320017 0.946568864855139 4113.378544087042428 0.943824809505559 4114.749898814825428 0.943580268731666 4116.121710737049398 0.940410464334802 4117.493980006134734 0.936224621084056 4118.866706774555496 0.938051204474032 4120.239891194832126 0.940832675792174 4121.613533419550549 0.947447102140259 4122.987633601332163 0.951112765061080 4124.362191892854753 0.947652368431852 4125.737208446842487 0.943730396377260 4127.112683416085019 0.939305249784420 4128.488616953407472 0.934065175358284 4129.865009211691358 0.928413998172059 4131.241860343865483 0.920525869291039 4132.619170502922316 0.912479789953625 4133.996939841889798 0.909656661951125 4135.375168513855897 0.907772002056572 4136.753856671951326 0.908994793219384 4138.133004469372281 0.910679294113687 4139.512612059354069 0.912993030160742 4140.892679595185655 0.917280295063157 4142.273207230208754 0.922801621471188 4143.654195117809650 0.928918316980409 4145.035643411441015 0.935166992288754 4146.417552264592814 0.938188710323907 4147.799921830809581 0.939991212149566 4149.182752263684961 0.936872561292357 4150.566043716874447 0.932803603009543 4151.949796344072638 0.927280742869211 4153.334010299031434 0.921891321207346 4154.718685735546387 0.916592994559848 4156.103822807478537 0.910334611384431 4157.489421668729847 0.903821916220497 4158.875482473254124 0.903266692660077 4160.262005375053377 0.904307139291304 4161.648990528196009 0.911833392195534 4163.036438086785893 0.918630879137251 4164.424348204985108 0.924307398701558 4165.812721037000301 0.930164044160596 4167.201556737103601 0.936142768607863 4168.590855459607155 0.939019711012130 4169.980617358876771 0.941051283563784 4171.370842589325548 0.931645586495392 4172.761531305432072 0.923886784170160 4174.152683661713127 0.922221887623342 4175.544299812741883 0.924275874523518 4176.936379913136079 0.931459753264432 4178.328924117581664 0.937745417673803 4179.721932580800967 0.943501433537089 4181.115405457572706 0.952502980965859 4182.509342902722892 0.962093584145853 4183.903745071141202 0.970913161223560 4185.298612117758239 0.978961060225654 4186.693944197559176 0.984811997505230 4188.089741465580119 0.993044536440860 4189.486004076905374 1.003929858634089 4190.882732186684734 1.016407277541963 4192.279925950104371 1.029612970588534 4193.677585522409572 1.035902029835711 4195.075711058891102 1.041219924799592 4196.474302714904297 1.044896911404420 4197.873360645844514 1.048062606234035 4199.272885007162586 1.050209747745886 4200.672875954356641 1.047452671177592 4202.073333642990292 1.040722029638965 4203.474258228665349 1.036549035136414 4204.875649867039101 1.033132502014379 4206.277508713819770 1.038472396371320 4207.679834924775605 1.043011554698774 4209.082628655718509 1.044314047052864 4210.485890062512226 1.043417092616811 4211.889619301072344 1.039663303459838 4213.293816527376293 1.035765586857340 4214.698481897441525 1.031792527851125 4216.103615567342786 1.019745995377432 4217.509217693202118 1.006043372250141 4218.915288431204317 0.987555039397343 4220.321827937576927 0.973334056060144 4221.728836368601151 0.967611558613459 4223.136313880607304 0.968193506195276 4224.544260629990276 0.973691637675765 4225.952676773184066 0.978062024886773 4227.361562466679970 0.982155505027333 4228.770917867020216 0.987277316769101 4230.180743130796145 0.992319958374807 4231.591038414662762 0.997122491215844 4233.001803875316000 0.998878758623212 4234.413039669508180 0.997363988409356 4235.824745954037098 0.999522019866898 4237.236922885768763 1.003144962789851 4238.649570621608291 1.012441456074416 4240.062689318514458 1.021337412089214 4241.476279133497883 1.027077596724881 4242.890340223631938 1.030527021482376 4244.304872746030014 1.030802616838284 4245.719876857863710 1.028473014140574 4247.135352716350098 1.024777466761747 4248.551300478772646 1.025526599573321 4249.967720302455746 1.027497461810244 4251.384612344778361 1.033998269963039 4252.801976763169478 1.039047611047891 4254.219813715121745 1.041654348241881 4255.638123358169651 1.042399448729166 4257.056905849901341 1.041973461518074 4258.476161347956804 1.040445757685802 4259.895890010038784 1.038363126322642 4261.316091993890041 1.032921153107376 4262.736767457312453 1.028754906045856 4264.157916558152465 1.027033830054456 4265.579539454325641 1.029179233367356 4267.001636303785745 1.034033300995447 4268.424207264542929 1.032854472479376 4269.847252494656459 1.030470508732709 4271.270772152251084 1.028016580935177 4272.694766395491570 1.027681141296371 4274.119235382599982 1.031656182041993 4275.544179271849316 1.036503249362089 4276.969598221563501 1.041985564538051 4278.395492390130130 1.048420653174002 4279.821861935978632 1.054768651348092 4281.248707017593915 1.057849770794831 4282.676027793509093 1.059947115403776 4284.103824422326397 1.060068274789663 4285.532097062683533 1.059389044214361 4286.960845873278231 1.058143595397155 4288.390071012855515 1.059125122513739 4289.819772640227711 1.061100025446571 4291.249950914245346 1.068471127646056 4292.680605993817153 1.075665132741167 4294.111738037900977 1.082530567668060 4295.543347205521059 1.085685344586419 4296.975433655738925 1.086457717445668 4298.407997547676132 1.085717847991990 4299.841039040501528 1.085194017031648 4301.274558293451264 1.087752709178142 4302.708555465801510 1.092811673546573 4304.143030716883914 1.101829589583788 4305.577984206081055 1.114993138384345 4307.013416092840998 1.130406652336517 4308.449326536651824 1.138960619767355 4309.885715697058913 1.145915057391351 4311.322583733655847 1.148461258082981 4312.759930806104421 1.151859585115837 4314.197757074106448 1.156348507501680 4315.636062697418311 1.157277339583203 4317.074847835848232 1.156709257673161 4318.514112649269919 1.161621974567236 4319.953857297598006 1.166088766494622 4321.394081940803517 1.168588218720853 4322.834786738911134 1.162967932843887 4324.275971851995564 1.149424848468703 4325.717637440196995 1.136732035425253 4327.159783663694725 1.124395448238552 4328.602410682729897 1.114399650822063 4330.045518657587309 1.104420619286424 4331.489107748622700 1.094481482011683 4332.933178116230920 1.089718036231035 4334.377729920862294 1.088555029297295 4335.822763323019899 1.086335971201842 4337.268278483270478 1.083283897485365 4338.714275562223520 1.076062124284360 4340.160754720545810 1.067612988916645 4341.607716118950520 1.057419400572399 4343.055159918222671 1.043132340332448 4344.503086279182753 1.026996744057171 4345.951495362713104 1.014362087376750 4347.400387329743353 1.001918890389741 4348.849762341269525 0.989701860266068 4350.299620558328570 0.976648198281412 4351.749962142017466 0.962834734907852 4353.200787253479575 0.949833978490098 4354.652096053927380 0.936787784390947 4356.103888704612473 0.921188066491527 4357.556165366844652 0.905927008090034 4359.008926201984650 0.891250987079545 4360.462171371458680 0.880157157609116 4361.915901036734795 0.870979046509564 4363.370115359336523 0.866155260803705 4364.824814500844695 0.862424124875278 4366.279998622888343 0.861494945921939 4367.735667887162890 0.860169716702463 4369.191822455404690 0.858459379322149 4370.648462489409212 0.855725942349408 4372.105588151020129 0.852431740639809 4373.563199602150235 0.845853822245950 4375.021297004752341 0.836007739304673 4376.479880520835650 0.820634831656072 4377.938950312460292 0.808750167317271 4379.398506541756433 0.798647647226226 4380.858549370890614 0.795115349063533 4382.319078962090316 0.792444548496847 4383.780095477632130 0.791429318301527 4385.241599079860862 0.794934234550644 4386.703589931160423 0.802324449413414 4388.166068193973842 0.808085681623912 4389.629034030795083 0.812298533709216 4391.092487604185408 0.808111205675172 4392.556429076744280 0.800728523582559 4394.020858611133917 0.788982456828558 4395.485776370063832 0.775761530119775 4396.951182516310837 0.762005243823187 4398.417077212693584 0.750590341960610 4399.883460622088933 0.740732933342685 4401.350332907425582 0.734245701460653 4402.817694231695896 0.731260826743139 4404.285544757937714 0.730457874403110 4405.753884649244355 0.728477264559506 4407.222714068760069 0.725742656897400 4408.692033179698228 0.720696525515399 4410.161842145310402 0.715088726839253 4411.632141128910007 0.708964963559027 4413.102930293863210 0.701354304748763 4414.574209803586200 0.694406455121188 4416.045979821564288 0.694037515842043 4417.518240511321892 0.695217479231249 4418.990992036444368 0.698408321632596 4420.464234560566183 0.700453101325460 4421.937968247389108 0.702364075915774 4423.412193260658569 0.709395792422464 4424.886909764175471 0.714737842799990 4426.362117921793470 0.717042200828214 4427.837817897434434 0.715312451654204 4429.314009855059339 0.711567629999265 4430.790693958689189 0.711716269822944 4432.267870372396828 0.711629391221587 4433.745539260321493 0.710739469361633 4435.223700786643349 0.707350697571778 4436.702355115603496 0.702300953252082 4438.181502411492147 0.701779865706698 4439.661142838667729 0.702746349471891 4441.141276561530503 0.707304774981088 4442.621903744539850 0.710494152289315 4444.103024552205170 0.712532220932563 4445.584639149104987 0.713589010410085 4447.066747699857842 0.714461079732422 4448.549350369142303 0.715219991253857 4450.032447321687869 0.716222351087063 4451.516038722293160 0.717473996001063 4453.000124735795907 0.723046281475583 4454.484705527094775 0.730489010007417 4455.969781261138451 0.743646897849481 4457.455352102944744 0.756163297352295 4458.941418217572391 0.767905691065560 4460.427979770141064 0.775286883786588 4461.915036925822278 0.780766174813651 4463.402589849841206 0.780359000296415 4464.890638707490325 0.777361472417601 4466.379183664103948 0.770806415705559 4467.868224885075506 0.762782574854390 4469.357762535850270 0.754371976371351 4470.847796781940815 0.747462599412100 4472.338327788902461 0.743211820107751 4473.829355722349646 0.742989903212308 4475.320880747947740 0.747453119347863 4476.812903031430324 0.753697043399093 4478.305422738573725 0.759975561463454 4479.798440035212479 0.765392231177742 4481.291955087233873 0.769415077778146 4482.785968060593405 0.774139630103431 4484.280479121286589 0.779373245759764 4485.775488435370789 0.789553831307354 4487.270996168954298 0.800829136948644 4488.767002488212711 0.813924033988876 4490.263507559365280 0.825662302637418 4491.760511548690374 0.837034525062435 4493.258014622516384 0.852748823846064 4494.756016947241733 0.866886815265820 4496.254518689307588 0.878413533676308 4497.753520015212416 0.887647243767756 4499.253021091509254 0.896112984954640 4500.753022084817530 0.907609014533304 4502.253523161799421 0.919404384934371 4503.754524489178038 0.931672790438375 4505.256026233730154 0.940141748365466 4506.758028562285290 0.946917416084880 4508.260531641741181 0.950015698374635 4509.763535639039219 0.954510985277869 4511.267040721179001 0.961063154118209 4512.771047055211966 0.966632497926477 4514.275554808260495 0.971396866619563 4515.780564147485165 0.971267956921857 4517.286075240111131 0.971775248015549 4518.792088253411748 0.973123630806868 4520.298603354732222 0.975968541515496 4521.805620711456868 0.979708919388626 4523.313140491032755 0.986835190887218 4524.821162860958793 0.995825786997758 4526.329687988800288 1.006959899978252 4527.838716042167107 1.021729532886283 4529.348247188730056 1.038026440693413 4530.858281596208144 1.057917892823869 4532.368819432394957 1.079665505024026 4533.879860865120463 1.103212454868262 4535.391406062281021 1.131806676963534 4536.903455191819376 1.161510559653165 4538.416008421751030 1.192221612607907 4539.929065920132416 1.221275931576951 4541.442627855081810 1.249023525692846 4542.956694394767510 1.274853358995975 4544.471265707428756 1.300859396061446 4545.986341961345715 1.327867620879442 4547.501923324861309 1.355245683005820 4549.018009966368481 1.382856129040239 4550.534602054330207 1.409306741300850 4552.051699757253118 1.436052583625784 4553.569303243702961 1.463460682222531 4555.087412682301874 1.493409558595824 4556.606028241723834 1.524573638958944 4558.125150090714669 1.556663110437118 4559.644778398060225 1.587303402663800 4561.164913332607284 1.615771719811097 4562.685555063256288 1.642561249192725 4564.206703758976801 1.668578665268870 4565.728359588779313 1.692789912564176 4567.250522721738889 1.717313751611518 4568.773193326977889 1.742173742096500 4570.296371573692340 1.762423615705213 4571.820057631119198 1.779459860136292 4573.344251668557263 1.787412764259594 4574.868953855356267 1.793179082763393 4576.394164360937793 1.797296698931915 4577.919883354765261 1.798925565189648 4579.446111006361207 1.798236340710025 4580.972847485303646 1.792550880562846 4582.500092961237897 1.781997896638536 4584.027847603853843 1.769045217403463 4585.556111582902304 1.757068399442062 4587.084885068185031 1.749231765641139 4588.614168229575625 1.747546487961754 4590.143961236989526 1.750401554993612 4591.674264260404016 1.754542388271929 4593.205077469848220 1.758322635743089 4594.736401035421295 1.763399529215071 4596.268235127266053 1.769710599783852 4597.800579915586241 1.780589755703422 4599.333435570641996 1.791690744414353 4600.866802262746205 1.801697565635455 4602.400680162281787 1.807970816133887 4603.935069439676226 1.812019894338086 4605.469970265416123 1.808827384953389 4607.005382810041738 1.804640269045381 4608.541307244163363 1.798831772174578 4610.077743738435856 1.796010263537591 4611.614692463572283 1.795261332822491 4613.152153590342095 1.801725950661227 4614.690127289582961 1.811012306205488 4616.228613732176200 1.822996304410418 4617.767613089064071 1.833162715414902 4619.307125531242491 1.843305116955711 4620.847151229777410 1.853984807504251 4622.387690355778432 1.870212767220991 4623.928743080417007 1.889563980314640 4625.470309574915518 1.913101843533260 4627.012390010569106 1.930327943545242 4628.554984558714750 1.938620831567090 4630.098093390753093 1.933881955809594 4631.641716678134799 1.926944724000692 4633.185854592383293 1.925038975881228 4634.730507305064748 1.928857635450391 4636.275674987808088 1.937061466561327 4637.821357812292263 1.940073938086905 4639.367555950270798 1.939031490620691 4640.914269573537240 1.930582329793491 4642.461498853950616 1.920798418587574 4644.009243963419067 1.910969735530390 4645.557505073923494 1.904689356747934 4647.106282357489363 1.896038398419141 4648.655575986203075 1.885053480200851 4650.205386132207423 1.863937793419096 4651.755712967698855 1.839518276647925 4653.306556664945674 1.809830610366145 4654.857917396258927 1.776549757708844 4656.409795334012415 1.741104680479004 4657.962190650632692 1.699732171656854 4659.515103518616343 1.656545139339741 4661.068534110505425 1.611257152760189 4662.622482598902934 1.565819395725213 4664.176949156465525 1.519952789004916 4665.731933955920795 1.472915216619801 4667.287437170039993 1.425396609443462 4668.843458971657128 1.377955348908205 4670.399999533658956 1.337622633208057 4671.957059029003176 1.302385476405687 4673.514637630692050 1.273534720313557 4675.072735511790597 1.247519579473677 4676.631352845414767 1.221797527792475 4678.190489804754179 1.195349987679698 4679.750146563042108 1.172402861292782 4681.310323293572765 1.151665498856621 4682.871020169695839 1.136710597120716 4684.432237364830144 1.120793202371443 4685.993975052440874 1.103681675454470 4687.556233406052343 1.083760452952734 4689.119012599246162 1.064399822188730 4690.682312805673064 1.048179778774074 4692.246134199029257 1.034434129921825 4693.810476953070975 1.021886224726318 4695.375341241609931 1.008016861172596 4696.940727238530599 0.993724691349336 4698.506635117758378 0.978955253414870 4700.073065053284154 0.966789213924112 4701.640017219155197 0.955748722835237 4703.207491789472442 0.946620467084507 4704.775488938410490 0.936883624259343 4706.344008840183960 0.926878340734678 4707.913051669075685 0.916888518252813 4709.482617599416699 0.907618219405063 4711.052706805614434 0.899028164885202 4712.623319462117252 0.890570289177887 4714.194455743438084 0.882036886633021 4715.766115824143526 0.873336785018235 4717.338299878871112 0.864947717180821 4718.911008082303852 0.857406650986774 4720.484240609186600 0.853645381787979 4722.057997634318781 0.851073443279243 4723.632279332570761 0.849364071891543 4725.207085878859289 0.844181130676609 4726.782417448162050 0.838319814162157 4728.358274215510392 0.831513181675088 4729.934656356011146 0.826074613729807 4731.511564044811166 0.821317207138403 4733.088997457123696 0.817777709070500 4734.666956768213822 0.812711359678943 4736.245442153419390 0.806618726687761 4737.824453788123719 0.797760227991868 4739.403991847771977 0.789752691252307 4740.984056507863897 0.782574162139844 4742.564647943971977 0.778386662142293 4744.145766331712366 0.774680818482212 4745.727411846764880 0.771439381543898 4747.309584664868453 0.766292500660402 4748.892284961814767 0.760047908921482 4750.475512913469174 0.751613193068003 4752.059268695740684 0.744195192144706 4753.643552484602878 0.737537350706356 4755.228364456081181 0.733734445625637 4756.813704786277412 0.731276870376742 4758.399573651334322 0.730311152632139 4759.985971227459231 0.729888762695007 4761.572897690914942 0.730273285255531 4763.160353218036107 0.732178556586849 4764.748337985201033 0.736498229234499 4766.336852168852602 0.741332753462351 4767.925895945487355 0.745069733953285 4769.515469491676413 0.748065270981968 4771.105572984033643 0.750669324477255 4772.696206599237485 0.754503833422629 4774.287370514020040 0.759507363970733 4775.879064905186169 0.765765634901854 4777.471289949587117 0.773131251296501 4779.064045824135974 0.781152985767149 4780.657332705801309 0.790205196373409 4782.251150771624452 0.802971666493334 4783.845500198692207 0.817358519103647 4785.440381164153223 0.833860371713301 4787.035793845211629 0.848606531635642 4788.631738419146131 0.862203451278827 4790.228215063279094 0.873564242412623 4791.825223954996545 0.885478713263032 4793.422765271738172 0.897883615801374 4795.020839191019149 0.911293774441390 4796.619445890399220 0.923874588776954 4798.218585547499970 0.935208277579372 4799.818258340003922 0.944416483555396 4801.418464445647260 0.954206347080543 4803.019204042241654 0.966337524333136 4804.620477307641522 0.980469660239692 4806.222284419765856 0.994990867932843 4807.824625556588217 1.007889100451407 4809.427500896156744 1.019164569267066 4811.030910616563233 1.029338140202023 4812.634854895964963 1.037988690122579 4814.239333912573784 1.045228022995289 4815.844347844673393 1.051101555790124 4817.449896870593875 1.054065057070108 4819.055981168730796 1.056036691860149 4820.662600917531563 1.056734560381818 4822.269756295520892 1.054550256767591 4823.877447481265335 1.051038826608768 4825.485674653397837 1.045603822895518 4827.094437990605002 1.040838848094080 4828.703737671648923 1.036072009621782 4830.313573875335351 1.030367331167509 4831.923946780535516 1.020115503168981 4833.534856566173403 1.007148358227793 4835.146303411250301 0.992048566325071 4836.758287494810247 0.979112440403291 4838.370808995962761 0.967932676304163 4839.983868093871024 0.955462655068649 4841.597464967775522 0.940803753970624 4843.211599796958581 0.923558118822793 4844.826272760768916 0.908630098732349 4846.441484038608905 0.899561586002776 4848.057233809957324 0.900151221691240 4849.673522254337513 0.911553063350977 4851.290349551335567 0.924741551029760 4852.907715880599426 0.936642732921849 4854.525621421832511 0.943126036280852 4856.144066354811002 0.946629530732221 4857.763050859357463 0.945789139888847 4859.382575115358122 0.941573656293772 4861.002639302757416 0.934434926525234 4862.623243601569811 0.918612834711514 4864.244388191859798 0.896774696671228 4865.866073253752802 0.870793142147043 4867.488298967431547 0.849671909788110 4869.111065513154244 0.835851651918591 4870.734373071221853 0.829196079765573 4872.358221822003543 0.833860226452810 4873.982611945920326 0.842167118090180 4875.607543623470519 0.854767083836598 4877.233017035197918 0.870220117506736 4878.859032361709069 0.885968021833326 4880.485589783668729 0.901660027107368 4882.112689481815323 0.914550679419498 4883.740331636932751 0.926926770455311 4885.368516429868578 0.939437103816623 4886.997244041529484 0.955482336674702 4888.626514652894002 0.973439897974093 4890.256328444987048 0.994099510578525 4891.886685598899930 1.015508963587673 4893.517586295777619 1.037390520089815 4895.149030716841480 1.060002147848263 4896.781019043358356 1.085345337895500 4898.413551456660571 1.112249001789602 4900.046628138139567 1.139626917722924 4901.680249269244086 1.163464017093635 4903.314415031497447 1.184505204783896 4904.949125606469352 1.200502464988654 4906.584381175793169 1.216110812202267 4908.220181921158655 1.231360259771772 4909.856528024332874 1.244778409415534 4911.493419667126545 1.254915297930382 4913.130857031415871 1.261647414327837 4914.768840299133444 1.269236870623298 4916.407369652289162 1.280948405401139 4918.046445272933852 1.297762538315291 4919.686067343190189 1.317804112407448 4921.326236045230871 1.337416011551154 4922.966951561307724 1.355990922497517 4924.608214073718045 1.375151900692724 4926.250023764823709 1.395039312368701 4927.892380817042977 1.416061055762486 4929.535285412870508 1.430953954535892 4931.178737734846436 1.442232635431955 4932.822737965575470 1.448383417795251 4934.467286287719617 1.457775423316910 4936.112382884017279 1.468459101139745 4937.758027937250517 1.480415446448055 4939.404221630271422 1.490911116419490 4941.050964145982107 1.500471174284966 4942.698255667366539 1.508575456170754 4944.346096377450522 1.515107211040986 4945.994486459328073 1.520683103697405 4947.643426096148687 1.524866510981195 4949.292915471138258 1.524436941430212 4950.942954767568153 1.520658988914199 4952.593544168775225 1.510981153191295 4954.244683858159988 1.497553261667654 4955.896374019174800 1.481503578547441 4957.548614835353874 1.461128509859366 4959.201406490272348 1.441506813904946 4960.854749167574482 1.422354097753036 4962.508643050960018 1.403768357901499 4964.163088324204182 1.382296650393387 4965.818085171131315 1.359221718550701 4967.473633775627604 1.335382750055803 4969.129734321639262 1.314252288557086 4970.786386993186170 1.294846178685824 4972.443591974338233 1.277045548000973 4974.101349449227200 1.255344167069752 4975.759659602043030 1.230527963101217 4977.418522617054805 1.199870943546961 4979.077938678573446 1.170760995490250 4980.737907970979904 1.143296150180824 4982.398430678708792 1.120841988242768 4984.059506986273846 1.096621313694350 4985.721137078233369 1.071031413543968 4987.383321139213876 1.043234497834780 4989.046059353896453 1.016937629018817 4990.709351907040400 0.992087183436392 4992.373198983450493 0.971048039928826 4994.037600767998811 0.952099136723600 4995.702557445614730 0.934525328851308 4997.368069201302205 0.917883252837460 4999.034136220114306 0.901238707920270 5000.700758687167763 0.884757601836144 5002.367936787644794 0.869332358607226 5004.035670706781275 0.856893502223337 5005.703960629891299 0.846460028872336 5007.372806742336252 0.837957166247689 5009.042209229542095 0.825911421657992 5010.712168276992998 0.811391983993808 5012.382684070251344 0.793813077726436 5014.053756794924084 0.779048922291437 5015.725386636685471 0.766450730198892 5017.397573781267965 0.757432304899074 5019.070318414480425 0.749238662835866 5020.743620722177184 0.741809185437129 5022.417480890281695 0.735991539067226 5024.091899104772892 0.733811175014675 5025.766875551708836 0.733889162595308 5027.442410417190331 0.736584130845788 5029.118503887390034 0.738445276776894 5030.795156148533351 0.739470566617716 5032.472367386927544 0.738813587143609 5034.150137788923530 0.736666279887102 5035.828467540939528 0.734119743277265 5037.507356829451965 0.731868812671457 5039.186805841014575 0.729295774138704 5040.866814762227477 0.725109053694075 5042.547383779758093 0.717216816657068 5044.228513080332050 0.708503976371372 5045.910202850750466 0.701036401763275 5047.592453277863569 0.696584644271458 5049.275264548587074 0.693937649310300 5050.958636849896720 0.691303011986951 5052.642570368841916 0.688081891285987 5054.327065292523002 0.683796363259654 5056.012121808105803 0.680736613881427 5057.697740102817988 0.679758432310578 5059.383920363945435 0.680875187599635 5061.070662778852238 0.682084331640096 5062.757967534949785 0.683172417941626 5064.445834819714946 0.685314829462414 5066.134264820683711 0.686639691524636 5067.823257725471194 0.687020021692341 5069.512813721736165 0.683739238633877 5071.202932997207427 0.679176339947777 5072.893615739671986 0.673562616956648 5074.584862136993252 0.669374818739224 5076.276672377081923 0.665601528817888 5077.969046647916912 0.662014135858214 5079.661985137535339 0.657482068326221 5081.355488034050722 0.654445771508862 5083.049555525626602 0.652369232181402 5084.744187800491090 0.650789685691187 5086.439385046932330 0.648799713769222 5088.135147453314858 0.646856070287207 5089.831475208053234 0.645737512359458 5091.528368499627504 0.645218294753795 5093.225827516575919 0.644251963640306 5094.923852447514946 0.641610753914448 5096.622443481110167 0.636079768372442 5098.321600806092647 0.631183563039962 5100.021324611253476 0.628808887135845 5101.721615085461053 0.629946795146579 5103.422472417631070 0.629596620429390 5105.123896796747431 0.626360770997011 5106.825888411852247 0.621150539187324 5108.528447452065848 0.617135053160249 5110.231574106557673 0.614576641694585 5111.935268564562648 0.613184702178728 5113.639531015380271 0.611424360061447 5115.344361648368249 0.609400667693063 5117.049760652962505 0.607798493223921 5118.755728218646254 0.608392569576977 5120.462264534971837 0.610305541555143 5122.169369791548888 0.612177896284486 5123.877044178067081 0.613148497281670 5125.585287884261561 0.613860188076327 5127.294101099937507 0.614968891932768 5129.003484014958303 0.615718833449962 5130.713436819265553 0.616568662704761 5132.423959702849061 0.617839507801729 5134.135052855766844 0.617821812007623 5135.846716468135128 0.617444737463758 5137.558950730148354 0.616838601163907 5139.271755832050985 0.617801584696829 5140.985131964152970 0.619852216768184 5142.699079316826101 0.622866012358482 5144.413598080518568 0.624264547513673 5146.128688445727676 0.624325089146366 5147.844350603018029 0.623879554295016 5149.560584743013351 0.626393736130802 5151.277391056418310 0.629679688790092 5152.994769733983048 0.632576204863316 5154.712720966526831 0.632867288048973 5156.431244944929858 0.631184936771299 5158.150341860147819 0.629539824527727 5159.870011903186423 0.629188775719482 5161.590255265120504 0.628840158763377 5163.311072137088559 0.627365671751251 5165.032462710287291 0.624351014566091 5166.754427175992532 0.622625555797305 5168.476965725527407 0.623137387141626 5170.200078550286889 0.625809490970029 5171.923765841721433 0.630490179401435 5173.648027791363347 0.633936077241587 5175.372864590790414 0.637103177481870 5177.098276431653176 0.642226603576641 5178.824263505657655 0.649857023145851 5180.550826004589908 0.658326882202329 5182.277964120286924 0.666688883238443 5184.005678044652086 0.674600657995923 5185.733967969646983 0.682302203003345 5187.462834087316878 0.689812284729737 5189.192276589750691 0.699365981505869 5190.922295669110099 0.709280968943626 5192.652891517613170 0.719189135698886 5194.384064327558917 0.726065705591692 5196.115814291295464 0.733110956288714 5197.848141601238240 0.740281641999294 5199.581046449864516 0.747573275359183 5201.314529029727964 0.753252219346071 5203.048589533434097 0.758152716064698 5204.783228153654818 0.762478855727087 5206.518445083123879 0.765867089668823 5208.254240514652338 0.770751374293389 5209.990614641102184 0.777648528908309 5211.727567655403618 0.786336851725887 5213.465099750545050 0.794810431444439 5215.203211119597654 0.803293333776491 5216.941901955678986 0.812794302857380 5218.681172451977545 0.822197585772096 5220.421022801744584 0.831860422563414 5222.161453198292293 0.842321099391678 5223.902463835011986 0.851647764950950 5225.644054905344092 0.861277823618225 5227.386226602799070 0.871662580015036 5229.128979120945587 0.881898851317402 5230.872312653434165 0.890806948732086 5232.616227393962617 0.898630632535293 5234.360723536299702 0.906620394265131 5236.105801274272380 0.913539867378682 5237.851460801789472 0.919132049147194 5239.597702312807087 0.922297922435428 5241.344526001354097 0.924449204720853 5243.091932061513944 0.926574712909072 5244.839920687454651 0.928977140006601 5246.588492073392445 0.933926413786927 5248.337646413612674 0.939485969186590 5250.087383902459806 0.945632978106496 5251.837704734360159 0.952786387237636 5253.588609103789167 0.960987267154734 5255.340097205291386 0.968317613693722 5257.092169233470486 0.972112640111816 5258.844825383013813 0.975711398010655 5260.598065848653277 0.980026114114125 5262.351890825193550 0.985349526693874 5264.106300507501146 0.990508893406508 5265.861295090518979 0.993306724787668 5267.616874769240894 0.994074294272778 5269.373039738733496 0.993083117256217 5271.129790194117959 0.996645812617457 5272.887126330601859 1.001779514336063 5274.645048343438248 1.006886970467457 5276.403556427952935 1.011529385921690 5278.162650779533578 1.018015850992929 5279.922331593632407 1.026884032259270 5281.682599065778049 1.040884668915857 5283.443453391550975 1.058405047017863 5285.204894766602592 1.077052466629865 5286.966923386642520 1.093241401584195 5288.729539447462230 1.108532075210836 5290.492743144902306 1.124912648939568 5292.256534674876093 1.143182021222716 5294.020914233353324 1.160180853987431 5295.785882016387404 1.176769635155116 5297.551438220079945 1.192920729711409 5299.317583040604404 1.208329840255478 5301.084316674194270 1.223426202799722 5302.851639317163063 1.237891758630678 5304.619551165875237 1.251336925544354 5306.388052416765277 1.258058304381780 5308.157143266328603 1.263100229661300 5309.926823911140673 1.266665863944819 5311.697094547826055 1.267108169834682 5313.467955373083896 1.264011420561945 5315.239406583670643 1.258737566131609 5317.011448376424596 1.251840236130080 5318.784080948233168 1.245134202369816 5320.557304496056531 1.239372687624233 5322.331119216913066 1.234342716303372 5324.105525307905737 1.225978321254306 5325.880522966184799 1.215277528361066 5327.656112388971451 1.202606611555133 5329.432293773553283 1.187671923658833 5331.209067317279732 1.170912524669188 5332.986433217579361 1.154455843536747 5334.764391671933481 1.138885602560590 5336.542942877891619 1.126316950741323 5338.322087033065145 1.116058502455236 5340.101824335149104 1.106785064180329 5341.882154981885833 1.096744748799427 5343.663079171088611 1.088029113114982 5345.444597100634383 1.081690967076662 5347.226708968479215 1.078174993466078 5349.009414972631930 1.078280959145956 5350.792715311167740 1.076434243841737 5352.576610182228251 1.072378833256705 5354.361099784034195 1.064882239795913 5356.146184314857237 1.058666616584652 5357.931863973039071 1.053851418455829 5359.718138956983239 1.050482784502779 5361.505009465176954 1.047758073588720 5363.292475696154725 1.044502364174537 5365.080537848523818 1.040558314965088 5366.869196120953347 1.035476020333625 5368.658450712192462 1.032213490645491 5370.448301821043060 1.031641734866260 5372.238749646377983 1.033940634127210 5374.029794387128277 1.038839230486766 5375.821436242312302 1.040029831023574 5377.613675410993892 1.037502524007983 5379.406512092312369 1.030176309277068 5381.199946485465262 1.026706913891691 5382.993978789734683 1.027829815761390 5384.788609204451859 1.033085078852350 5386.583837929018955 1.040116922358601 5388.379665162907258 1.045737790372691 5390.176091105648084 1.051862430109331 5391.973115956854599 1.059786230083889 5393.770739916189996 1.073251356257003 5395.568963183390224 1.087290214705483 5397.367785958253990 1.101543552607449 5399.167208440660943 1.115524660236392 5400.967230830539847 1.131560361718789 5402.767853327895864 1.149577006634343 5404.569076132790542 1.169853164945147 5406.370899445370924 1.195756615942322 5408.173323465834983 1.225109843262240 5409.976348394451634 1.256569382596470 5411.779974431551636 1.288765570970295 5413.584201777548515 1.321404384857159 5415.389030632906724 1.352933634498235 5417.194461198163481 1.382509015356550 5419.000493673915116 1.406321747826501 5420.807128260844365 1.425044009135044 5422.614365159682166 1.440596981346365 5424.422204571232214 1.453679073223890 5426.230646696361873 1.466816836743948 5428.039691736017630 1.479180726857312 5429.849339891201453 1.491228256260839 5431.659591362983520 1.503941196258163 5433.470446352497675 1.518198097508127 5435.281905060961435 1.532156891433450 5437.093967689643250 1.545651122518822 5438.906634439882509 1.560942452507503 5440.719905513086815 1.578387745168378 5442.533781110723794 1.595762917452603 5444.348261434349297 1.611377075227635 5446.163346685563738 1.620064417997112 5447.979037066045748 1.628134976772670 5449.795332777530348 1.637226773140780 5451.612234021842596 1.650859195720058 5453.429741000852118 1.664146294719899 5455.247853916505846 1.674650609620809 5457.066572970808920 1.681722737403642 5458.885898365853791 1.685059617114425 5460.705830303782932 1.690668857547911 5462.526368986808848 1.698766023522424 5464.347514617209526 1.709774778393041 5466.169267397344811 1.718895692444859 5467.991627529627294 1.726153467586200 5469.814595216540511 1.731850960988665 5471.638170660630749 1.736247167231461 5473.462354064528881 1.741880495371556 5475.287145630916712 1.745296906870718 5477.112545562547893 1.745262159370614 5478.938554062240655 1.738283769604564 5480.765171332895079 1.734938797936602 5482.592397577462179 1.736003501276896 5484.420232998969368 1.741739421793264 5486.248677800501355 1.747568112333448 5488.077732185231071 1.752935818279474 5489.907396356381469 1.760599115952492 5491.737670517248262 1.773267451788535 5493.568554871189917 1.793088740583286 5495.400049621647668 1.806209586812614 5497.232154972117314 1.811961348086041 5499.064871126165599 1.808828739837555 5500.898198287427476 1.808396075183397 5502.732136659599746 1.806751089148080 5504.566686446465610 1.802316570243765 5506.401847851858292 1.790942713923738 5508.237621079682867 1.777422431575206 5510.074006333910802 1.766512128386069 5511.911003818595418 1.759923703776151 5513.748613737840969 1.758140650050944 5515.586836295828107 1.752155485360948 5517.425671696795689 1.745723736667108 5519.265120145071705 1.741133843297958 5521.105181845034167 1.739180319715572 5522.945857001133845 1.735889997293498 5524.787145817883356 1.732777724466830 5526.629048499882629 1.731547000133966 5528.471565251782522 1.724431590209687 5530.314696278306656 1.715590772234409 5532.158441784240495 1.707044956587054 5534.002801974457725 1.702253335001663 5535.847777053881146 1.698759446649544 5537.693367227507224 1.693419793350074 5539.539572700396093 1.685726647597492 5541.386393677693377 1.675152323966634 5543.233830364596542 1.669730903504679 5545.081882966374906 1.668499737362769 5546.930551688361447 1.670508673673659 5548.779836735978279 1.672120289700240 5550.629738314692077 1.676904220497454 5552.480256630050462 1.688971972405769 5554.331391887658356 1.710359147949697 5556.183144293210717 1.743913767206623 5558.035514052451617 1.767976397567860 5559.888501371199709 1.779452157506757 5561.742106455342764 1.776791571298715 5563.596329510830401 1.768309666641679 5565.451170743699549 1.760372520525506 5567.306630360038071 1.748041916496473 5569.162708566007495 1.727303176047063 5571.019405567834838 1.684219830256338 5572.876721571828966 1.642576901146261 5574.734656784352410 1.608171013849333 5576.593211411844095 1.586294790354732 5578.452385660804794 1.567732256274988 5580.312179737818951 1.546454355205090 5582.172593849525583 1.524893549835623 5584.033628202636464 1.505684529802217 5585.895283003928853 1.497289965057384 5587.757558460264590 1.493878465559802 5589.620454778556450 1.492803918814430 5591.483972165794512 1.490950467704472 5593.348110829028883 1.485154624768336 5595.212870975397891 1.477483331046618 5597.078252812091705 1.467961139684789 5598.944256546375073 1.456420259439802 5600.810882385575496 1.439904165479695 5602.678130537107791 1.422005211075756 5604.546001208438611 1.405195113630058 5606.414494607108281 1.392994206328954 5608.283610940721701 1.382761038370361 5610.153350416971080 1.371654019875435 5612.023713243597740 1.361088363316555 5613.894699628420312 1.353566222611619 5615.766309779326548 1.345440045747549 5617.638543904266953 1.333476521863435 5619.511402211279346 1.318194585502324 5621.384884908454296 1.300578592533765 5623.258992203955131 1.287081290232843 5625.133724306009753 1.275863123198474 5627.009081422935196 1.265188471416982 5628.885063763097605 1.252718721745540 5630.761671534939524 1.245882825041338 5632.638904946967159 1.244140735849827 5634.516764207773122 1.244363454588844 5636.395249526003681 1.242531864225237 5638.274361110377868 1.232874150826564 5640.154099169682013 1.220822953880026 5642.034463912787032 1.206604938612490 5643.915455548614773 1.190318643587502 5645.797074286166207 1.168113664281232 5647.679320334504155 1.143726407667888 5649.562193902777835 1.119486603861532 5651.445695200189220 1.097691614839992 5653.329824436017589 1.082548558901963 5655.214581819604973 1.070511545090796 5657.099967560378900 1.059496395230432 5658.985981867821465 1.047984102328286 5660.872624951491161 1.037675452718800 5662.759897021007419 1.028706962992441 5664.647798286079706 1.020043608767049 5666.536328956468424 1.010703112900516 5668.425489242010372 0.997201208819629 5670.315279352606922 0.980220650872177 5672.205699498246759 0.964796583851537 5674.096749888969498 0.953127625951967 5675.988430734892063 0.944994998797817 5677.880742246202317 0.936657211689228 5679.773684633150879 0.928066747967614 5681.667258106075678 0.919433389602000 5683.561462875368306 0.911595465210287 5685.456299151495841 0.905019314860824 5687.351767144990845 0.896171384589234 5689.247867066470462 0.885131292447700 5691.144599126608227 0.873766536565732 5693.041963536152252 0.866235456716764 5694.939960505914314 0.860748785474542 5696.838590246794411 0.857105933470372 5698.737852969746200 0.855272541287157 5700.637748885797919 0.856635090559300 5702.538278206045106 0.859602916028806 5704.439441141667885 0.863032084463106 5706.341237903900947 0.865810962259561 5708.243668704055381 0.867537358966092 5710.146733753505941 0.865603062065473 5712.050433263717423 0.857021558572004 5713.954767446203732 0.840743049460418 5715.859736512559721 0.822426286248806 5717.765340674442086 0.812868665279485 5719.671580143596657 0.808060012143465 5721.578455131821102 0.805164101910169 5723.485965850990397 0.798959013616205 5725.394112513045002 0.795399358126729 5727.302895330012689 0.799262037312764 5729.212314513975798 0.809543008812914 5731.122370277089431 0.822606256683527 5733.033062831578718 0.828985854151800 5734.944392389752466 0.832191355545638 5736.856359163976776 0.833775132325060 5738.768963366690514 0.835262602299080 5740.682205210406210 0.837699258187657 5742.596084907700060 0.841424464730211 5744.510602671238303 0.845802216237725 5746.425758713737196 0.850737031810473 5748.341553247993033 0.857807356337709 5750.257986486866685 0.867869814120064 5752.175058643305420 0.878759526280637 5754.092769930312897 0.889851843505558 5756.011120560966447 0.901025295267339 5757.930110748412517 0.911304352247477 5759.849740705882141 0.920923330362412 5761.770010646661831 0.929277459336225 5763.690920784115406 0.935793401526818 5765.612471331671259 0.944115305099570 5767.534662502846913 0.955024778180269 5769.457494511213554 0.965228440494490 5771.380967570418761 0.973400099582991 5773.305081894175601 0.982578278766351 5775.229837696287177 0.994797413417011 5777.155235190608437 1.006566966628138 5779.081274591073452 1.017138628860470 5781.007956111679960 1.026709440924454 5782.935279966514827 1.044949098612068 5784.863246369721310 1.070155876179012 5786.791855535515424 1.096603552846320 5788.721107678184126 1.118833748003089 5790.651003012097135 1.134364123800849 5792.581541751684199 1.150824226326091 5794.512724111447824 1.165396327035418 5796.444550305965095 1.175971876913948 5798.377020549875851 1.179452435418413 5800.310135057912703 1.182000550685423 5802.243894044860099 1.187583328845766 5804.178297725578886 1.196968535769051 5806.113346314996306 1.210335924212960 5808.049040028132367 1.227650953833472 5809.985379080056191 1.246574460354194 5811.922363685916935 1.265541705583406 5813.859994060929239 1.282441786628893 5815.798270420396875 1.292321992868896 5817.737192979679094 1.297967233277818 5819.676761954210633 1.302352174051029 5821.616977559493534 1.304737998102605 5823.557840011118969 1.303824663967621 5825.499349524732679 1.301675722097579 5827.441506316057712 1.300210047305372 5829.384310600884419 1.301168652698191 5831.327762595090462 1.306298554269462 5833.271862514608074 1.318852983235131 5835.216610575451341 1.334953826643450 5837.162006993696195 1.354991222862162 5839.108051985507700 1.377883152893330 5841.054745767110035 1.401680518183808 5843.002088554800139 1.418494262454632 5844.950080564945893 1.432764724528112 5846.898722014000668 1.447589688983961 5848.848013118475137 1.462892474495579 5850.797954094957277 1.474949682791509 5852.748545160100548 1.479879804623790 5854.699786530650272 1.485109102255733 5856.651678423404519 1.491854928223708 5858.604221055240487 1.499726692542622 5860.557414643106313 1.501451335758438 5862.511259404018347 1.494091131105910 5864.465755555082069 1.484592866298416 5866.420903313458439 1.477726699378116 5868.376702896385723 1.478363527299297 5870.333154521169490 1.480836927970532 5872.290258405203531 1.479220046556171 5874.248014765938933 1.472298788297429 5876.206423820905002 1.457222072507933 5878.165485787696525 1.425132892034191 5880.125200883996513 1.377546130467306 5882.085569327548910 1.323263982817942 5884.046591336169513 1.263454484495684 5886.008267127745967 1.199833186799245 5887.970596920252319 1.145747465383415 5889.933580931719916 1.119277711292792 5891.897219380258321 1.120352704553194 5893.861512484043487 1.144162088832327 5895.826460461341412 1.180926503052071 5897.792063530474479 1.215026964759358 5899.758321909843289 1.252605782346430 5901.725235817914836 1.291543822630144 5903.692805473247063 1.326022441994122 5905.661031094452483 1.342004581320867 5907.629912900221825 1.338646861460191 5909.599451109315851 1.331503003664796 5911.569645940582632 1.324723478729291 5913.540497612928448 1.319885512610723 5915.512006345334157 1.312402086113174 5917.484172356858835 1.299761263428552 5919.456995866625221 1.284545796176113 5921.430477093847003 1.266866410564207 5923.404616257794260 1.246937879791330 5925.379413577817104 1.230142600900147 5927.354869273329314 1.213610055708964 5929.330983563839254 1.195548997699435 5931.307756668909860 1.176806834531491 5933.285188808181374 1.159693284487067 5935.263280201363159 1.146583263895378 5937.242031068253709 1.136477774827984 5939.221441628709727 1.123117352861274 5941.201512102666129 1.103475003062351 5943.182242710123319 1.077057002936787 5945.163633671176285 1.057840081576811 5947.145685205970949 1.043296963122170 5949.128397534737815 1.029212754789773 5951.111770877771050 1.013012628498094 5953.095805455456684 0.994169999399769 5955.080501488238951 0.979553214861058 5957.065859196638485 0.970212948182481 5959.051878801244129 0.959920143325594 5961.038560522737498 0.943432165353563 5963.025904581854775 0.917177515474815 5965.013911199412178 0.887352312062851 5967.002580596294138 0.863572926585847 5968.991912993473306 0.845830470100371 5970.981908611984181 0.831678504227628 5972.972567672934019 0.814893422360106 5974.963890397502837 0.797967221135539 5976.955877006960691 0.785133070275930 5978.948527722634026 0.777558894413962 5980.941842765925685 0.774212362223188 5982.935822358318546 0.769328177171895 5984.930466721358243 0.765549980341708 5986.925776076684997 0.760524461470251 5988.921750645991779 0.756514531049526 5990.918390651056143 0.755732045569291 5992.915696313718399 0.759026918025492 5994.913667855915264 0.765758606918284 5996.912305499636204 0.775125454108037 5998.911609466953450 0.785309198289829 6000.911579980005627 0.795072958059941 6002.912217261022306 0.805105317885043 6004.913521532293089 0.815795165152186 6006.915493016182154 0.826751445459453 6008.918131935126439 0.836913018679086 6010.921438511652923 0.845249585634713 6012.925412968345881 0.850767440374309 6014.930055527868717 0.853920096166561 6016.935366412952135 0.853675336549028 6018.941345846424156 0.853089088292869 6020.947994051161004 0.854165094824916 6022.955311250127124 0.856718685149730 6024.963297666348808 0.854592951479785 6026.971953522950571 0.850352214165966 6028.981279043107861 0.846346971571992 6030.991274450080709 0.843597677012699 6033.001939967194630 0.841561901993981 6035.013275817869726 0.839486181320955 6037.025282225582487 0.840323012336369 6039.037959413888530 0.838948292194835 6041.051307606411683 0.832205128729675 6043.065327026870364 0.819240165483235 6045.080017899037557 0.809461096801441 6047.095380446769923 0.799954122382258 6049.111414893994151 0.788672193352326 6051.128121464709693 0.777425684400318 6053.145500383006947 0.769383578020258 6055.163551873030883 0.765320073510274 6057.182276159012872 0.758092901428629 6059.201673465247950 0.751719158178927 6061.221744016124831 0.747476496697230 6063.242488036091345 0.745058598455852 6065.263905749673540 0.741450707354531 6067.285997381467496 0.738972500922760 6069.308763156162968 0.737489465854506 6071.332203298504282 0.736529754442465 6073.356318033319440 0.734980531919708 6075.381107585502832 0.730949287062414 6077.406572180045259 0.727244439556343 6079.432712041989362 0.725724836930941 6081.459527396464182 0.726539861903833 6083.487018468663337 0.729651781921262 6085.515185483877758 0.734737752085050 6087.544028667452039 0.740271533292445 6089.573548244813537 0.745830405824334 6091.603744441458730 0.749172685912536 6093.634617482976864 0.750870260749761 6095.666167595013576 0.751863775879579 6097.698395003298174 0.751322422715267 6099.731299933626360 0.749081085469410 6101.764882611889334 0.749385970102691 6103.799143264033773 0.751630694156829 6105.834082116090940 0.754855625062764 6107.869699394162126 0.758181748129287 6109.905995324423202 0.756894757437106 6111.942970133139170 0.751106902490813 6113.980624046636876 0.742769989697544 6116.018957291322295 0.734339431440155 6118.057970093667791 0.727727315921425 6120.097662680245776 0.721670342449315 6122.138035277681411 0.710847339518566 6124.179088112682621 0.695940061362220 6126.220821412027362 0.677501076787548 6128.263235402586361 0.658083255454438 6130.306330311289457 0.642491919891514 6132.350106365146530 0.633543658123999 6134.394563791237488 0.626134334045154 6136.439702816736826 0.617060082511535 6138.485523668876340 0.605465593815088 6140.532026574970587 0.592634529041100 6142.579211762399609 0.583437973489299 6144.627079458642584 0.578545661470675 6146.675629891235076 0.574234323828276 6148.724863287791777 0.568239740960107 6150.774779876000139 0.558690028018837 6152.825379883641290 0.544659075471706 6154.876663538552748 0.531063932431401 6156.928631068656614 0.528024236455332 6158.981282701940472 0.529031644380228 6161.034618666491042 0.528899816573357 6163.088639190449612 0.525800551668462 6165.143344502042055 0.524308284268375 6167.198734829560635 0.527168086528004 6169.254810401396753 0.534363924904037 6171.311571445995469 0.545508671932100 6173.369018191886425 0.558127116949230 6175.427150867673845 0.568815755228149 6177.485969702034708 0.574912671244715 6179.545474923737856 0.585590051970087 6181.605666761610337 0.598024557939784 6183.666545444564690 0.607457626609377 6185.728111201578940 0.613686547305882 6187.790364261729337 0.620749936196677 6189.853304854148519 0.628540519826844 6191.916933208052797 0.635254240898642 6193.981249552727604 0.641113036383490 6196.046254117553872 0.644714969798456 6198.111947131969828 0.645260941745255 6200.178328825497374 0.643608414912944 6202.245399427729353 0.646250791294908 6204.313159168350467 0.652857302762090 6206.381608277107262 0.659180461396810 6208.450746983827230 0.663515792028523 6210.520575518407895 0.666555125886552 6212.591094110843187 0.671666355535777 6214.662302991183424 0.683417174719923 6216.734202389563507 0.691972394250708 6218.806792536189278 0.696987718730421 6220.880073661360257 0.700044573936092 6222.954045995434171 0.702645279252927 6225.028709768853332 0.704336606175941 6227.104065212129171 0.704537941252490 6229.180112555869528 0.701229572189754 6231.256852030739537 0.695808572297207 6233.334283867488921 0.689462199309662 6235.412408296935610 0.683760073585693 6237.491225549996670 0.681312735995897 6239.570735857645559 0.680834119922549 6241.650939450937585 0.678035432828797 6243.731836561006276 0.675268208917284 6245.813427419057916 0.672872718733155 6247.895712256391562 0.670994781812586 6249.978691304366293 0.671450431636319 6252.062364794424866 0.673611198315725 6254.146732958078246 0.669953834067324 6256.231796026937445 0.663881650288871 6258.317554232669863 0.659386923938646 6260.404007807026574 0.658376564472787 6262.491156981826862 0.658599399703483 6264.579001988991877 0.659495589118553 6266.667543060497337 0.664958441748530 6268.756780428401726 0.672283536566543 6270.846714324838103 0.678312167330561 6272.937344982033210 0.684996191514274 6275.028672632272901 0.701598725928716 6277.120697507927616 0.735442849944403 6279.213419841436917 0.766576323819673 6281.306839865339498 0.788718451516389 6283.400957812230445 0.801345576523804 6285.495773914790334 0.806132017565078 6287.591288405768864 0.806171255274847 6289.687501518014869 0.809069428468734 6291.784413484434481 0.817100451701698 6293.882024538017504 0.820970266789257 6295.980334911825594 0.815310757874320 6298.079344839016812 0.802470890787965 6300.179054552808338 0.790753104058171 6302.279464286501934 0.789243682589798 6304.380574273474849 0.793259785665271 6306.482384747179822 0.796646468546858 6308.584895941161449 0.800210260334131 6310.688108089027082 0.804407351965909 6312.792021424466839 0.808380925316405 6314.896636181241774 0.810005601034634 6317.001952593212991 0.816944701058230 6319.107970894295249 0.833818337354949 6321.214691318492441 0.848289201434570 6323.322114099877581 0.859274011968696 6325.430239472620997 0.871053912021407 6327.539067670953955 0.887662083518147 6329.648598929189575 0.900217064494598 6331.758833481713737 0.903660327843752 6333.869771563010545 0.910403411216520 6335.981413407621403 0.918338557151975 6338.093759250174116 0.923590342695667 6340.206809325366521 0.926870131702836 6342.320563867995588 0.937654160612910 6344.435023112914678 0.946155684853820 6346.550187295066280 0.945891141206168 6348.666056649461098 0.950318414700128 6350.782631411208058 0.963560157962751 6352.899911815476116 0.980646548041631 6355.017898097518810 0.992749983142976 6357.136590492661526 1.001337621765295 6359.255989236326968 1.011560452849586 6361.376094563997867 1.018342387701932 6363.496906711241536 1.031078164094081 6365.618425913697138 1.052929528482362 6367.740652407102061 1.077515392227081 6369.863586427252812 1.091859351087001 6371.987228210030480 1.099679351062155 6374.111577991396189 1.114260131079230 6376.236636007381094 1.130285504513527 6378.362402494116395 1.144250558902494 6380.488877687792410 1.156703593437284 6382.616061824683129 1.170345298307270 6384.743955141136212 1.186564647737444 6386.872557873597543 1.202344043239191 6389.001870258572126 1.223599585035684 6391.131892532649545 1.245728541569170 6393.262624932493054 1.264523560307396 6395.394067694864134 1.281564662783776 6397.526221056581562 1.299691237111551 6399.659085254553247 1.313228040145733 6401.792660525756219 1.314612329931142 6403.926947107267551 1.316504298736411 6406.061945236225256 1.322291392151338 6408.197655149849197 1.324962816165593 6410.334077085435638 1.322285791405913 6412.471211280376338 1.319356666001043 6414.609057972124901 1.322107670697843 6416.747617398219518 1.322785582492224 6418.886889796272953 1.327676555277467 6421.026875403993472 1.335084244842794 6423.167574459150273 1.336438054454883 6425.308987199600779 1.331118375709998 6427.451113863271530 1.327636890513062 6429.593954688190934 1.334482967247020 6431.737509912444693 1.342454967660469 6433.881779774206734 1.341732198862897 6436.026764511728288 1.337299270898009 6438.172464363335166 1.336909592872071 6440.318879567450495 1.347082699431290 6442.466010362559246 1.369538231176528 6444.613856987231884 1.398442331647078 6446.762419680110725 1.415892029082613 6448.911698679938127 1.425614743228274 6451.061694225516476 1.428419531156698 6453.212406555734560 1.428638816590126 6455.363835909553018 1.432318616125180 6457.515982526033440 1.438271389927867 6459.668846644295627 1.434414119324968 6461.822428503548508 1.423641268245746 6463.976728343070135 1.418090222104977 6466.131746402243152 1.413757762944628 6468.287482920503862 1.412294568379961 6470.443938137381338 1.417647137121397 6472.601112292473772 1.431657182218592 6474.759005625482132 1.450327262470126 6476.917618376162864 1.461911121097877 6479.076950784364271 1.468827932505200 6481.237003090004691 1.471213636305635 6483.397775533103413 1.474263257900859 6485.559268353737934 1.478233683246728 6487.721481792077611 1.479868498167982 6489.884416088358194 1.477081339510041 6492.048071482920932 1.472635060998268 6494.212448216165285 1.459372927493312 6496.377546528578023 1.448194687044945 6498.543366660716856 1.443982897488871 6500.709908853243178 1.441944113032250 6502.877173346878408 1.433435941135002 6505.045160382427639 1.418254058710194 6507.213870200778729 1.406549485472188 6509.383303042893203 1.403754900608216 6511.553459149832634 1.403316811259382 6513.724338762719526 1.406979356572060 6515.895942122760971 1.411534179890479 6518.068269471241365 1.425388925347986 6520.241321049541511 1.448930814854247 6522.415097099107697 1.473050738905308 6524.589597861468064 1.486711088340077 6526.764823578228970 1.486748816678958 6528.940774491094089 1.481963005598200 6531.117450841829850 1.481707224233745 6533.294852872289994 1.479078520419636 6535.472980824399201 1.473875557165629 6537.651834940187655 1.466746878483339 6539.831415461741926 1.457994923766854 6542.011722631237717 1.449598981074255 6544.192756690924398 1.446801132853984 6546.374517883154112 1.460695757186511 6548.557006450335393 1.503333918318099 6550.740222634969541 1.577036734305642 6552.924166679628797 1.661195707171218 6555.108838826986357 1.724741874883570 6557.294239319777262 1.745084935958867 6559.480368400823863 1.724903172239564 6561.667226313022184 1.696454538641175 6563.854813299371017 1.675406940877579 6566.043129602927365 1.647202480541701 6568.232175466838271 1.605059175585457 6570.421951134324445 1.543476558226149 6572.612456848707552 1.469142567532036 6574.803692853370194 1.401045066244877 6576.995659391783192 1.360464080830050 6579.188356707498315 1.353984052061030 6581.381785044142816 1.351055467132053 6583.575944645443087 1.346772902115489 6585.770835755188273 1.347794521965243 6587.966458617255739 1.340930379224122 6590.162813475595613 1.319595951183174 6592.359900574262610 1.290021160671342 6594.557720157368749 1.264915907772524 6596.756272469117903 1.251325592537676 6598.955557753786707 1.237924054788998 6601.155576255752749 1.219526689238225 6603.356328219455463 1.194325993676673 6605.557813889425233 1.167266186533858 6607.760033510262474 1.140288853673632 6609.962987326672192 1.112820437635315 6612.166675583421238 1.084791848333227 6614.371098525362868 1.057967631261387 6616.576256397426732 1.030812619865572 6618.782149444643437 1.003785377789820 6620.988777912106343 0.985139645886587 6623.196142044996122 0.978678461174250 6625.404242088567116 0.975770854569117 6627.613078288179167 0.969069904640556 6629.822650889252145 0.954819957599907 6632.032960137292321 0.934157587317587 6634.244006277883273 0.915270669446328 6636.455789556711352 0.898115486863165 6638.668310219522937 0.878915575902679 6640.881568512153535 0.863960016109223 6643.095564680520511 0.844801393337912 6645.310298970616714 0.819945669147245 6647.525771628537768 0.798337521321850 6649.741982900441144 0.789843476672930 6651.958933032570712 0.794079182368335 6654.176622271248561 0.798723398771106 6656.395050862898643 0.795373984246760 6658.614219054004934 0.792007752574651 6660.834127091142363 0.785628025201787 6663.054775220961346 0.777520086038465 6665.276163690213252 0.770469942336475 6667.498292745712206 0.762596281546264 6669.721162634361463 0.750066722960455 6671.944773603140675 0.732859181487542 6674.169125899130449 0.716570233745044 6676.394219769474148 0.706277592973335 6678.620055461404263 0.694731325826070 6680.846633222229684 0.683630062197316 6683.073953299362074 0.677939037550045 6685.302015940273122 0.854809042086253 6687.530821392526377 0.996334515171297 6689.760369903759965 0.989189638077924 6691.990661721714787 0.980504677068708 6694.221697094195406 0.972388365273208 6696.453476269092789 0.971523117807574 6698.685999494377029 0.969645652954228 6700.919267018118262 0.954466576147457 6703.153279088453019 0.943706832824873 6705.388035953602412 0.943783196748275 6707.623537861867590 0.948239871990032 6709.859785061650655 0.949446443536412 6712.096777801416465 0.946143269984156 6714.334516329719918 0.943673990264828 6716.573000895199584 0.949178129082775 6718.812231746567704 0.962892070303708 6721.052209132642020 0.979001892080411 6723.292933302302117 0.981359917371354 6725.534404504516715 0.972624544601415 6727.776622988332747 0.962749785368966 6730.019589002897192 0.957688488921206 6732.263302797424330 0.958098913562455 6734.507764621213937 0.957978551989456 6736.752974723644002 0.948600901960315 6738.998933354196197 0.932325698114309 6741.245640762414041 0.917801514033099 6743.493097197932912 0.898444664915009 6745.741302910461854 0.878242444441433 6747.990258149817237 0.866656858909085 6750.239963165873633 0.863528812734240 6752.490418208600204 0.862070318833126 6754.741623528039781 0.856510124666178 6756.993579374340698 0.847268012285864 6759.246285997713130 0.839280631175122 6761.499743648456388 0.836489360519111 6763.753952576949814 0.846730851335195 6766.008913033674617 0.857116962782605 6768.264625269173848 0.847730288846415 6770.521089534082421 0.830740687869609 6772.778306079112554 0.814092981097555 6775.036275155080148 0.802471370517334 6777.294997012862041 0.797843920317717 6779.554471903428748 0.798635006084902 6781.814700077825364 0.797059944078268 6784.075681787202484 0.784691451061713 6786.337417282774368 0.774839314802826 6788.599906815843497 0.779836791316629 6790.863150637797844 0.792978930866568 6793.127149000102690 0.817239043608919 6795.391902154326999 0.838543746547210 6797.657410352103398 0.846683192815809 6799.923673845153644 0.841753163159104 6802.190692885278622 0.834498527713688 6804.458467724383809 0.837331180975271 6806.726998614437434 0.850767992520181 6808.996285807497770 0.858868365864157 6811.266329555700395 0.846600699180629 6813.537130111288207 0.812352325743715 6815.808687726563221 0.778722579136277 6818.081002653921132 0.760405073611337 6820.354075145835850 0.753479430721100 6822.627905454883148 0.749314010000625 6824.902493833705194 0.733641369675160 6827.177840535034193 0.708868688381771 6829.453945811677841 0.688331674706076 6831.730809916552971 0.678669725339715 6834.008433102634626 0.676294618237942 6836.286815622994254 0.672874465204785 6838.565957730778791 0.661931663388645 6840.845859679238856 0.648542661364454 6843.126521721689642 0.637749269747236 6845.407944111539109 0.631064929948774 6847.690127102271617 0.621485724660112 6849.973070947477026 0.613638321573997 6852.256775900807042 0.614226287828737 6854.541242216009778 0.622236468745147 6856.826470146912470 0.626163945250717 6859.112459947422394 0.618245646252634 6861.399211871554144 0.612385691771996 6863.686726173382340 0.622555376804377 6865.975003107076191 0.633009764035775 6868.264042926882212 0.637846310023050 6870.553845887150601 0.639045664494443 6872.844412242298858 0.634657977289487 6875.135742246831796 0.623801340951403 6877.427836155337900 0.625947774726205 6879.720694222505699 0.642096436342404 6882.014316703091026 0.650803192398625 6884.308703851940663 0.647139938225843 6886.603855923980518 0.651546614157665 6888.899773174239272 0.670025529495404 6891.196455857814726 0.688045661934713 6893.493904229891086 0.695558847320813 6895.792118545735320 0.704531849906280 6898.091099060718079 0.709755280908692 6900.390846030274588 0.717778830979982 6902.691359709931930 0.728858360040147 6904.992640355296317 0.729230364261665 6907.294688222078548 0.722927204166743 6909.597503566055821 0.716372944007776 6911.901086643096278 0.715136497809574 6914.205437709146281 0.720734400919039 6916.510557020259512 0.729970736689653 6918.816444832552406 0.744284239099517 6921.123101402235079 0.760681878140060 6923.430526985595861 0.779920080133806 6925.738721839029495 0.810166064635963 6928.047686218995295 0.845809436240421 6930.357420382044438 0.880202372495058 6932.667924584813591 0.902665142451539 6934.979199084018546 0.914793246437017 6937.291244136482419 0.914845695309303 6939.604059999091987 0.913913935219163 6941.917646928825889 0.922303305277056 6944.232005182743706 0.932989234263639 6946.547135018008703 0.930358367232258 6948.863036691852358 0.909984032219607 6951.179710461595278 0.885036057769663 6953.497156584639924 0.880815670008182 6955.815375318494262 0.877021986593561 6958.134366920729917 0.843651543180087 6960.454131649014016 0.790850302213614 6962.774669761090991 0.729986671981399 6965.095981514810774 0.673229056698880 6967.418067168092421 0.625609481815217 6969.740926978944117 0.585828712936508 6972.064561205454083 0.541223494940788 6974.388970105818771 0.497565398716848 6976.714153938299205 0.476847271861499 6979.040112961247360 0.478919035471064 6981.366847433097064 0.479459237948887