SN 1997ef Ic in UGC 4107 (Sc)


Geoffrey Chaucer with an astrolabe.


OBJ:  SN 1997ef Ic in UGC 4107 (Sc).  See
          UGC 4107.
DISCOVERY: 1997nov25 by Sano.  See CfA Supernova List.
MAX:  1997dec10 in V and UVOIR bolometric {mazzali2002}.
           This day of the year 344.
SUPERNOVA of the YEAR:  136.

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

REF:

    {deaton1998}
\bibitem[Deaton et al.(1998)]{deaton1998}
        Deaton, J., Branch, D., Baron, E., Fisher, A., Kirshner, R., \&~Garnavich, P. 1998,
        American Astronomical Society, 192nd AAS Meeting, \#06.10;
        Bulletin of the American Astronomical Society, Vol. 30, p.824
%
        % ADS Reference
        % Spectral Analysis of the Peculiar Type IC Supernova 1997ef in UGC 4107.

    {mazzali2000}
\bibitem[Mazzali et al.(2000)]{mazzali2000}
        Mazzali, P. A., Iwamoto, K., Nomoto, K. 2000, \apj 545, 407
%
        % ADS Reference
        % A Spectroscopic Analysis of the Energetic Type Ic Hypernova SN 1997EF.
        % Paolo calls it a hypernovae and gives V max as 1997dec10 which is nearly UVOIR bolometric max.
        % He finds a rise time of about 18 days.



REP:  F_lambda (erg/cm2/s/A) ??? vs. lambda (ang)  (iformat = -1)
COR:  deredshifted ??? (heliocentric velocity 3506 +/- 10 km/s and
        v_hel corrected for CMB radiation 3626 km/s from
          UGC 4107.
      not dereddened ??? (Galactic foreground .19/4... =.0475
     Schlegel et al. (1998).
      not smoothed ????, not photometric ????
      Derived maximum in some band is  (see above).

OBS:  ??? I got these from Peter Garnavich.

Date: 1997dec04 (338) with 1997dec10 (344) for visible maximum gives:
      day = 338 - 344 = -6


&specnamelist aname='sn1997ef Ic hyp 1997_1997_12_04' ebv=.0475 epoch=-6. ! This parameter needs to updated for the particular spectrum. iformat=-1 itick=2 itickln=4 t_rise=18.d0 ! Based on \citet{mazzali2000} v_helio=3506. ! The Garnavich spectra have been deredshifted. The v_helio=3506 +/- 10 km/s. iformat < 0 means no further correction. ymin2=1.d-16 ymax2=1.2d-15 ymin3=.35 ymax3=1.6 wlammin1=3562.99648803614 wlammax1=7514.09599195288 wlammin2=3562.99648803614 wlammax2=7514.09599195288 wlammin3=3667. ! Blueward is noisy and falls below 3.e-16 wlammax3=7000. ! Redward is funny structure that may be real, but I won't trust it. /
./figure/sn1997ef_1997_12_04.gif Postscript plot of the spectrum.
./figure/sn1997ef_1997_12_04.dif.gif Postscript plot of the spectrum with local normalization.
Information from somewhere. From: Peter Garnavich Message-Id: <199901141951.OAA10375@mars.harvard.edu> Subject: Re: 97ef To: jeffery@beauty.physics.unlv.edu (David Jeffery) Date: Thu, 14 Jan 1999 14:51:54 -0500 (EST) David, Thanks for the reminder. I've put all the spectra I have on 97ef at my anonymous ftp site. You can get them by: ftp cfa0.harvard.edu username: anonymous password: your-email-address cd outgoing/peterg/sn97ef mget *.dat bye They are all ASCII two column spectra with the header at the top (which may or may not help). The spectra have been reduce in the usual way plus the spectra *** have been shifted to the rest frame *** and narrow emission lines removed. Let me know if you have any problems. Peter (Where I got all the 97ef spectra from. Note according to Iwamoto et al. (1999, astro-ph/9807060) the heliocentric velocity is 3400 km/s. This has been removed from the spectra according to Peter above.) BITPIX = 8 / 8-bit ASCII characters NAXIS = 1 / Number of Image Dimensions NAXIS1 = 2720 / Length of axis ORIGIN = 'NOAO-IRAF: WTEXTIMAGE' / IRAF-MAX= 0. / Max image pixel (out of date) IRAF-MIN= 0. / Min image pixel (out of date) IRAF-B/P= 32 / Image bits per pixel IRAFTYPE= 'REAL FLOATING ' / Image datatype OBJECT = 'SNUGC4107 ' / FILENAME= 'REST_97DEC03.FITS ' / IRAF filename FORMAT = '5G14.7 ' / Text line format FILENAME= 'sn97ef_97dec03.fits' / Disk filename IRAF-TLM= '11:24:18 (07/07/1998)' / Time of last modification OBJECT = 'SNugc4107' / ORIGIN = 'NOAO-IRAF Fits Kernel 24Jan97' DATE = '07/07/98' / IRAF-MAX= 0.000000E0 / DATA MAX IRAF-MIN= 0.000000E0 / DATA MIN OBJECT = 'SNugc4107' /SET BY COMMENT FILE RA = '07:57:02.8' /MEAN RA DEC = '49:33:40.2' /MEAN DEC EPOCH = 2000.0 /MEAN EPOCH RRA = '07:57:02.8' /REQUESTED RA RDEC = '49:33:40.2' /REQUESTED DEC REPOCH = 2000.0 /REQUESTED EPOCH TRA = '07:57:04' /TRA BY TELESCOPE TDEC = '+49:33:34' /DEC BY TELESCOPE TEPOCH = 2000.000 /EPOCH BY TELESCOPE HA = '-02:27:43' /HA BY TELESCOPE DATE-OBS= '04/12/97' /UT DD/MM/YY AT END OF EXPOSURE UT = '07:59:54' /UT HH:MM:SS AT END OF EXPOSURE UTOPEN = '07:39:54' /UT HH:MM:SS AT BEGINNING OF EXPOSURE AIRMASS = 1.19 /AIR MASS BY TELESCOPE ST = '05:29:03' /TELESCOPE SIDEREAL TIME AT END EXPTIME = 1200.00 /INTEGRATION TIME, SECONDS GJDN = 2450786.82632 /TOPCENTRIC JULIAN DAY AT MIDDLE OF EXPOSURE HJDN = 2450786.83023 /HELIOCENTRIC JULIAN DAY AT MIDDLE OF EXPOSURE GAIN = 1.06 /GAIN, ELECTRONS PER ADU, SET BY PARAMETERS RDNOISE = 7.9 /READ NOISE, ELECTRONS, SET BY PARAMETERS RAMPROG0= 'serial parallel skip 99 repeat 160 add 2 end skip 93 repeat 16 ' RAMPROG1= 'add 2 end ' OBSERVAT= 'flwo1 '/IRAF TYPE KEY IMAGETYP= 'OBJECT ' /IRAF TYPE KEY OBSERVER= 'Mader ' /FROM 2 COMMENT FILE P.I. = 'Kirshner' /FROM 2 COMMENT FILE PROGRAM = '#2 Supernovae' /FROM 2 COMMENT FILE APERTURE= '3" ' /FROM 2 COMMENT FILE DISPERSE= '300 ' /FROM 2 COMMENT FILE TILTPOS = '607 ' /FROM 2 COMMENT FILE INSFOCUS= '920 ' /FROM 2 COMMENT FILE POSANGLE= '90 ' /FROM 2 COMMENT FILE LOGNAME = 'observer ' /LOGIN NAME INSTRUME= 'FAST ' DETECTOR= 'thin_01 ' /DETECTOR IDENTIFIER DRBUFOVF= 0 /INPUT FIFO OVERFLOWS - IF NON-ZERO = BAD DATA! SITENAME= 'flwo1 ' SITELONG= '+110:52:39.0' /LONGITUDE, DEGREES WEST OF ZERO SITELAT = '+31:40:51.4' /LATITUDE, DEGREES SITEELEV= 2320.0 /ELEVATION, METERS TELESCOP= 'TILLINGHAST ' / DISKDIR = '/fast/flwo1/1997/12/03' DISKFILE= 140 /FILE NO. IN ORIGINAL RAW DIRECTORY ARCHTAPE= ' ' /RAW ARCHIVE TAPE NAME (BLANK = NOT ARCHIVED) ARCHFILE= 0 /RAW TAPE FILE NUMBER (ZERO = NOT ARCHIVED) COMMENT Object: SNugc4107 COMMENT P.I.: Kirshner COMMENT Program: #2 Supernovae COMMENT Observer: Mader COMMENT Comments: COMMENT Focus: 920 COMMENT Clouds: Clear COMMENT Seeing: 2" COMMENT Aperture: 3" COMMENT Disperse: 300 COMMENT Tiltpos: 607 COMMENT Insfocus: 920 COMMENT Posangle: 90 FINDOBJ = '81:88 ' FINDBACK= '54:72,94:114' FINDSPEC= 'procdata.findspec 2.1 04-Dec-1997 11:51 obj = 81:88' HISTORY procdata.findspec 2.1 04-Dec-1997 08:00 obj = 81:88 HISTORY procdata.findspec 2.1 04-Dec-1997 08:04 obj = 81:88 HISTORY procdata.findspec 2.1 04-Dec-1997 11:41 obj = 81:88 BANDID1 = 'spectrum - background fit, weights none, clean no' APNUM1 = '1 1 82.53 87.53' WCSDIM = 1 CTYPE1 = 'LINEAR ' CRVAL1 = 3562.99648803614 CRPIX1 = 1. CDELT1 = 1.45314435598262 CD1_1 = 1.45314435598262 LTM1_1 = 1. WAT0_001= 'system=equispec' WAT1_001= 'wtype=linear label=Wavelength units=angstroms units_display=Angstrom' DC-FLAG = 0 DCLOG1 = 'REFSPEC1 = 0143.COMP.ms' EX-FLAG = 0 CA-FLAG = 0 BUNIT = 'erg/cm2/s/A' HISTORY New copy of 0140.SNugc4107 HISTORY New copy of 0140.SNugc4107.ms HISTORY New copy of ugc4107_97dec3 HISTORY New copy of ugc4107_97dec3 WAT1_002= 's ' OBJ: SN Ic 1997ef in spiral galaxy UGC 4107. DATE: 1997dec03. From Iwamoto etal (1999, astro-ph/9807060) The estimated explosion date is 1997nov16 (day 320 of the year). That makes this day 17. OBS: ??? obtained from Peter Garnavich, CfA. REP: F_lambda (cgs-A) vs. lambda (ang) COR: deredshifted (heliocentric velocity 3400 km/s: Garnavich et al 1997, IAUC 6778), not dereddened (Iwamoto et al estimate 0. total reddening) parent galaxy extinction??? foreground Galactic reddening E(B-V)=.04243 (Schlegel et al. 1998 foreground Galactic reddening tables) narrow emission lines removed not smoothed ?, not photometric ? REF: Iwamoto etal. 1998, astro-ph/9807060 for 97ef spectra in general, but not this one in particular. END: 3564.099358847707663 0.942146568057319 3565.287589994843074 0.895752540183879 3566.476217285051462 0.841027796899181 3567.665240850398732 0.808084505381024 3568.854660822998994 0.787785416604954 3570.044477335005467 0.795271043562295 3571.234690518628668 0.743450251727802 3572.425300506109124 0.678711661018351 3573.616307429738299 0.613109403595592 3574.807711421849490 0.545431134888303 3575.999512614817831 0.476510430990200 3577.191711141072119 0.462871166830599 3578.384307133076163 0.467064231050490 3579.577300723340159 0.489991468450687 3580.770692044415682 0.529151730992841 3581.964481228908426 0.574398099226998 3583.158668409458187 0.596289206127877 3584.353253718752967 0.586872746430592 3585.548237289520330 0.573136749156099 3586.743619254543773 0.575917389860493 3587.939399746639538 0.600343355471869 3589.135578898672065 0.622704207359615 3590.332156843546727 0.667249946749742 3591.529133714224372 0.713830195922265 3592.726509643698137 0.736525092462104 3593.924284765009816 0.747892142809400 3595.122459211242131 0.782315982745774 3596.321033115532828 0.867574032725740 3597.520006611053304 0.939923711857006 3598.719379831022707 0.985119156426973 3599.919152908700653 1.030773988842737 3601.119325977403150 1.071240058629743 3602.319899170478948 1.066060222223939 3603.520872621324997 1.015433953328193 3604.722246463379179 0.996179172083986 3605.924020830134850 0.974365804720840 3607.126195855118567 0.935863241044830 3608.328771671905997 0.894591929381342 3609.531748414111917 0.897224626613571 3610.735126215408854 0.958291878637134 3611.938905209501172 0.993451376017466 3613.143085530141889 0.993545846631900 3614.347667311129953 0.970926721511557 3615.552650686302513 0.940662299443170 3616.758035789554924 0.904453342539275 3617.963822754815283 0.901886644855548 3619.170011716059889 0.928271451347723 3620.376602807305062 0.934936917417528 3621.583596162625327 0.902162688946804 3622.790991916126586 0.838655978934072 3623.998790201963857 0.783626317557913 3625.206991154333082 0.804619264171565 3626.415594907487048 0.843663822598000 3627.624601595710374 0.881607892733190 3628.834011353338155 0.906359397006729 3630.043824314744597 0.914260636297741 3631.254040614361202 0.913206424251223 3632.464660386653122 0.917979180071780 3633.675683766132806 0.911650300987534 3634.887110887355448 0.909081903423161 3636.098941884930809 0.905133762946380 3637.311176893503671 0.889258195977882 3638.523816047766559 0.873089821447766 3639.736859482453838 0.894564141020590 3640.950307332354896 0.922641155532120 3642.164159732293683 0.936987010308355 3643.378416817143261 0.940832001248405 3644.593078721816710 0.953046130570365 3645.808145581283952 0.996746429305139 3647.023617530549473 1.049372062264715 3648.239494704664594 1.082747999604575 3649.455777238723840 1.103801844926499 3650.672465267876760 1.112942430869297 3651.889558927307462 1.115667516923358 3653.107058352248714 1.134284427697285 3654.324963677977394 1.158528309356131 3655.543275039813579 1.158536839631811 3656.761992573132375 1.147172640337360 3657.981116413342988 1.125111025020873 3659.200646695903288 1.093895142913488 3660.420583556313431 1.063158254387338 3661.640927130129512 1.036700917139705 3662.861677552940819 1.021495437317749 3664.082834960387117 1.006523548202663 3665.304399488148192 0.981212213227052 3666.526371271961125 0.916790623916059 3667.748750447597104 0.796906339065449 3668.971537150875520 0.802792766462463 3670.194731517658511 0.798856906723783 3671.418333683863239 0.804735173236772 3672.642343785441881 0.827939961617714 3673.866761958396637 0.862219492322868 3675.091588338768815 0.893120441562508 3676.316823062658386 0.909641974158083 3677.542466266198971 0.939298454640686 3678.768518085572850 0.974317919270563 3679.994978657004140 0.995518797096340 3681.221848116774254 1.007587659196252 3682.449126601197804 1.019670027143948 3683.676814246639424 1.028439667338639 3684.904911189504674 1.023521447435698 3686.133417566256412 1.026404992741674 3687.362333513391604 1.039481803549428 3688.591659167456783 1.055766746016354 3689.821394665043499 1.064226892179968 3691.051540142784688 1.058890859611720 3692.282095737371947 1.057405759354598 3693.513061585528703 1.064444709078096 3694.744437824029774 1.072239480524569 3695.976224589689991 1.081233493079663 3697.208422019383306 1.084943930595494 3698.441030250016411 1.081361589507052 3699.674049418545110 1.080534428657785 3700.907479661968409 1.081843029852602 3702.141321117341249 1.069940183603988 3703.375573921754039 1.052122308592413 3704.610238212344939 1.042685329821994 3705.845314126296216 1.040837079003929 3707.080801800845165 1.033874183045240 3708.316701373265005 1.014026815906372 3709.553012980877611 1.005757994587927 3710.789736761047152 0.997514111232154 3712.026872851195094 0.979085753126608 3713.264421388777009 0.966829988324542 3714.502382511298947 0.975998919237362 3715.740756356307429 1.003818303898358 3716.979543061407639 1.021510423395668 3718.218742764238868 1.034819255428566 3719.458355602489519 1.058634255021419 3720.698381713891195 1.085308320106971 3721.938821236231433 1.101247758478984 3723.179674307333698 1.108675897239791 3724.420941065070110 1.130911017948316 3725.662621647355536 1.166687178883448 3726.904716192162141 1.169404666167398 3728.147224837496651 1.163251438270865 3729.390147721415815 1.166342771609113 3730.633484982021400 1.173566178529303 3731.877236757458832 1.170665920532867 3733.121403185930376 1.154249895350508 3734.365984405672407 1.154591175550633 3735.610980554972684 1.156810346696638 3736.856391772159441 1.150704872566439 3738.102218195619571 1.146855865919933 3739.348459963774076 1.141943238723826 3740.595117215095343 1.126102201322282 3741.842190088095776 1.096400394853587 3743.089678721347354 1.059214813826417 3744.337583253456160 1.033733006727356 3745.585903823078297 1.027391271837292 3746.834640568911254 1.030058230444657 3748.083793629712545 1.031857030066865 3749.333363144272425 1.027383023807708 3750.583349251432082 1.017216435515913 3751.833752090074995 1.010359725836796 3753.084571799142395 1.017900841198862 3754.335808517610531 1.046340129150048 3755.587462384505670 1.077225311760314 3756.839533538896831 1.091828070471501 3758.092022119910325 1.083662107097005 3759.344928266707939 1.062115225985489 3760.598252118501932 1.043034610240123 3761.851993814545494 1.035267042208226 3763.106153494152295 1.026535662857671 3764.360731296668291 1.020843379908961 3765.615727361492191 1.016076652542028 3766.871141828063173 1.011592276315578 3768.126974835879992 1.010040870704951 3769.383226524475504 1.013024702291016 3770.639897033433954 1.025985094352435 3771.896986502384152 1.040366213739638 3773.154495070999928 1.056359818894121 3774.412422879011956 1.077641158318221 3775.670770066185469 1.095811395553734 3776.929536772337542 1.102448067873036 3778.188723137327088 1.103538591907503 3779.448329301071681 1.101212739723890 3780.708355403523001 1.095396416104479 3781.968801584684570 1.081543102910004 3783.229667984601747 1.058224393580704 3784.490954743379007 1.026213483873915 3785.752662001154931 0.989285717252013 3787.014789898119034 0.954334467458741 3788.277338574504938 0.929529074706169 3789.540308170602202 0.903254741718584 3790.803698826738128 0.889406862672738 3792.067510683288674 0.888578686140875 3793.331743880673912 0.894127480921783 3794.596398559371664 0.898853019699026 3795.861474859895679 0.902258808589673 3797.126972922809273 0.912884152208741 3798.392892888720326 0.940136142100108 3799.659234898293562 0.961040443714835 3800.925999092230086 0.969380451667300 3802.193185611281933 0.962927680596470 3803.460794596243431 0.948876992907857 3804.728826187967115 0.938757680993261 3805.997280527342355 0.939976760177198 3807.266157755308086 0.949693766374949 3808.535458012850995 0.960510048999098 3809.805181441000514 0.959889230661922 3811.075328180844281 0.961808416305142 3812.345898373506316 0.971384595822016 3813.616892160161115 0.976999092696655 3814.888309682026375 0.971736892442413 3816.160151080378000 0.961654013584302 3817.432416496528276 0.959088558624343 3818.705106071839509 0.963490336151584 3819.978219947718571 0.964761285141079 3821.251758265629633 0.967601102858611 3822.525721167073243 0.972445112062974 3823.800108793601339 0.981198460095812 3825.074921286807694 1.000499822532000 3826.350158788347017 1.030349971587112 3827.625821439907668 1.053035188807209 3828.901909383230304 1.048597422539298 3830.178422760098329 1.020773902305547 3831.455361712354261 0.985238558308766 3832.732726381877001 0.946547632934170 3834.010516910595015 0.909945040879720 3835.288733440482247 0.884781868822594 3836.567376113569480 0.874814812714956 3837.846445071924791 0.870743824345460 3839.125940457666729 0.860019561386724 3840.405862412957504 0.854932408603883 3841.686211080018893 0.875274589171158 3842.966986601107692 0.905519570420302 3844.248189118532537 0.931546245465325 3845.529818774644809 0.956930716828530 3846.811875711855919 0.980947751267585 3848.094360072612744 0.991400152971288 3849.377271999413551 0.986434964102406 3850.660611634803900 0.994686646779690 3851.944379121373458 1.008989392193806 3853.228574601771015 1.020857419477476 3854.513198218680827 1.039582157321055 3855.798250114838538 1.060224562550939 3857.083730433024357 1.064897270309128 3858.369639316077155 1.043945080351705 3859.655976906871274 1.012253998209202 3860.942743348333806 0.995943908878322 3862.229938783434136 0.993217142234774 3863.517563355202583 0.995480564098465 3864.805617206704028 0.995012606324413 3866.094100481055648 0.989012215592119 3867.383013321418730 0.980792812468864 3868.672355871013679 0.978380852590673 3869.962128273095914 0.987484240076320 3871.252330670974516 1.003469205575893 3872.542963208001311 1.011023852079170 3873.834026027587242 1.000921585215741 3875.125519273180089 0.992146927420219 3876.417443088279015 0.994053205636042 3877.709797616427295 0.993829707896501 3879.002583001227322 0.980095068116740 3880.295799386318777 0.959309044749299 3881.589446915391818 0.947067078641674 3882.883525732181170 0.945161404789566 3884.178035980481582 0.935084740028800 3885.472977804122820 0.923614365832746 3886.768351346988311 0.917730768288948 3888.064156753007865 0.904902262531230 3889.360394166155857 0.897367593936171 3890.657063730466689 0.909457553652953 3891.954165590010689 0.931889501273938 3893.251699888910480 0.943561291752869 3894.549666771332795 0.942682367073542 3895.848066381503486 0.954832832580885 3897.146898863686147 0.986457163436629 3898.446164362194395 1.005021667108791 3899.745863021387777 1.006125932503629 3901.045994985684956 0.998895187137132 3902.346560399540977 0.991505492768550 3903.647559407463632 0.990284554920684 3904.948992154003918 0.996755468554307 3906.250858783773310 1.005197348700587 3907.553159441420121 1.004880927144298 3908.855894271644502 0.988864400037236 3910.159063419190261 0.969852600634222 3911.462667028862143 0.966864704853071 3912.766705245500816 0.969938208546675 3914.071178214000156 0.968810142584061 3915.376086079296783 0.961359980268501 3916.681428986388710 0.950178233655033 3917.987207080310327 0.941072657928288 3919.293420506147868 0.938950888917407 3920.600069409032130 0.939660295948828 3921.907153934154394 0.947829537976245 3923.214674226741863 0.958196925772174 3924.522630432075402 0.960246591591777 3925.831022695479078 0.960831521065235 3927.139851162337436 0.964281064356923 3928.449115978072314 0.972221451025261 3929.758817288157388 0.979551130258453 3931.068955238115450 0.980061415309049 3932.379529973512490 0.974341364079343 3933.690541639976800 0.968306678644116 3935.001990383171687 0.970029951301600 3936.313876348814574 0.985357840691692 3937.626199682665629 0.995454157638149 3938.938960530546865 0.994630056616574 3940.252159038316677 0.990084288797659 3941.565795351886209 0.988778401756063 3942.879869617210261 0.992405704853318 3944.194381980306389 0.997434406155354 3945.509332587226254 0.998802451313630 3946.824721584076542 0.994664001723610 3948.140549117006685 0.987608884625470 3949.456815332227961 0.983720511566631 3950.773520375988937 0.988448411915979 3952.090664394589112 0.997857286465906 3953.408247534374368 1.002979599318139 3954.726269941750616 1.003403217429800 3956.044731763161053 1.002856706105471 3957.363633145101630 0.998657209999504 3958.682974234111953 0.988368273142783 3960.002755176794835 0.979142959922232 3961.322976119787654 0.976409371068883 3962.643637209781900 0.974310899565693 3963.964738593513630 0.976170182802953 3965.286280417779835 0.985083514063145 3966.608262829414798 0.994211884047228 3967.930685975305096 1.000989275769605 3969.253550002383236 1.013019017603048 3970.576855057641296 1.026653011244415 3971.900601288109556 1.031784159978239 3973.224788840871042 1.026267186927998 3974.549417863057442 1.014763688275241 3975.874488501846372 0.995924368429803 3977.200000904475019 0.979504346038607 3978.525955218219224 0.969659725795776 3979.852351590406670 0.954799546409780 3981.179190168411424 0.936374462783332 3982.506471099667124 0.927686542008722 3983.834194531646517 0.937317856082710 3985.162360611873282 0.954245241017338 3986.490969487918392 0.963064762309076 3987.820021307412389 0.962890707409855 3989.149516218024473 0.966286144858149 3990.479454367475228 0.979427209586324 3991.809835903532530 0.991011185705784 3993.140660974023831 1.000397208213197 3994.471929726815233 1.006713233808911 3995.803642309824681 1.006319588666820 3997.135798871016959 1.007770934581810 3998.468399558417332 1.010782128027159 3999.801444520088353 1.007731771385012 4001.134933904146237 0.998546453798701 4002.468867858752674 0.992626804493415 4003.803246532129833 0.991703696758915 4005.138070072538994 0.985929721700867 4006.473338628293277 0.972987284076855 4007.809052347751731 0.962128746700306 4009.145211379335251 0.959814469809401 4010.481815871502022 0.964530422077244 4011.818865972763888 0.970729218865763 4013.156361831681352 0.977260425172162 4014.494303596861300 0.979567927838330 4015.832691416972011 0.980407808545586 4017.171525440719506 0.982040212966671 4018.510805816862558 0.978992315932235 4019.850532694206322 0.970012230159928 4021.190706221617802 0.965074472023946 4022.531326548000379 0.971489277822428 4023.872393822312461 0.979853144076095 4025.213908193557472 0.979705569405995 4026.555869810800232 0.980528643972670 4027.898278823143755 0.987798194607372 4029.241135379744719 0.988387916452989 4030.584439629805274 0.988476415662903 4031.928191722589418 0.990935794141282 4033.272391807399345 0.983494908810330 4034.617040033590001 0.966632135534402 4035.962136550562718 0.955007235256869 4037.307681507781581 0.953855713509864 4038.653675054746600 0.953769861985876 4040.000117341013265 0.952187722737389 4041.347008516181631 0.959702710696658 4042.694348729914964 0.969443398488420 4044.042138131913362 0.968267006081551 4045.390376871931494 0.973183113271634 4046.739065099769050 0.985790495846033 4048.088202965288929 0.983107170529180 4049.437790618390864 0.967494349551917 4050.787828209029612 0.960064964634812 4052.138315887204499 0.959584831436019 4053.489253802978510 0.953912353162273 4054.840642106451469 0.942219776781435 4056.192480947778222 0.932247674367362 4057.544770477161819 0.926950044309697 4058.897510844853969 0.926436996538453 4060.250702201166405 0.937894432406392 4061.604344696449971 0.963001190052834 4062.958438481109170 0.974739377414289 4064.312983705594888 0.970402479859256 4065.667980520420770 0.982580822626922 4067.023429076137290 1.009875535321571 4068.379329523350407 1.030360849150981 4069.735682012711095 1.036109768656842 4071.092486694933541 1.036247914683327 4072.449743720770130 1.030983874572121 4073.807453241026906 1.023418383757479 4075.165615406555844 1.023802056457734 4076.524230368273038 1.029005802717783 4077.883298277130962 1.023542860474750 4079.242819284137113 1.007524331342396 4080.602793540345829 0.998216574734627 4081.963221196873292 1.001649097168190 4083.324102404873884 0.999840060470793 4084.685437315556555 0.993972795677094 4086.047226080177097 0.997343309300280 4087.409468850052690 0.995072701201716 4088.772165776540987 0.993320312683874 4090.135317011051484 1.004770680439240 4091.498922705041423 1.021926963793951 4092.862983010031712 1.028742012364373 4094.227498077579185 1.030703879813751 4095.592468059297971 1.038658107576657 4096.957893106846313 1.050253376866896 4098.323773371947027 1.058436979263259 4099.690109006359307 1.059651920100926 4101.056900161899648 1.051971825137894 4102.424146990432746 1.039794864553617 4103.791849643871501 1.030293238158974 4105.160008274190659 1.029429247606681 4106.528623033404074 1.027051280355536 4107.897694073580169 1.008903351644797 4109.267221546832843 0.987806075928654 4110.637205605340569 0.981342303375421 4112.007646401320017 0.989393133350018 4113.378544087042428 1.000801797138295 4114.749898814825428 1.009157700568079 4116.121710737049398 1.013065146399078 4117.493980006134734 1.018532052071442 4118.866706774555496 1.028520927571073 4120.239891194832126 1.037714668854493 4121.613533419550549 1.040240742596832 4122.987633601332163 1.035390406613922 4124.362191892854753 1.026733086616408 4125.737208446842487 1.018567450338443 4127.112683416085019 1.012095075922258 4128.488616953407472 1.011916371448421 4129.865009211691358 1.009524703113193 4131.241860343865483 1.002017496834470 4132.619170502922316 1.001453953371438 4133.996939841889798 1.015477560106667 4135.375168513855897 1.040699924343724 4136.753856671951326 1.059640138628413 4138.133004469372281 1.063924474287480 4139.512612059354069 1.061919325309428 4140.892679595185655 1.059688296692303 4142.273207230208754 1.056369005931845 4143.654195117809650 1.055363586134279 4145.035643411441015 1.052273097963259 4146.417552264592814 1.039569699212307 4147.799921830809581 1.019449099357639 4149.182752263684961 1.001700327977484 4150.566043716874447 0.992009155759448 4151.949796344072638 0.987279725789900 4153.334010299031434 0.984334814908470 4154.718685735546387 0.983871610051553 4156.103822807478537 0.977823971256034 4157.489421668729847 0.971224177811262 4158.875482473254124 0.974694788673558 4160.262005375053377 0.975901439370370 4161.648990528196009 0.975209231245906 4163.036438086785893 0.974041401684309 4164.424348204985108 0.968648069815874 4165.812721037000301 0.964013757047632 4167.201556737103601 0.963904565987488 4168.590855459607155 0.964882650081009 4169.980617358876771 0.960137925239391 4171.370842589325548 0.956190695552312 4172.761531305432072 0.952559097729281 4174.152683661713127 0.947084303287955 4175.544299812741883 0.947186988874245 4176.936379913136079 0.954433975127379 4178.328924117581664 0.958958502417379 4179.721932580800967 0.958624032931369 4181.115405457572706 0.959561379100751 4182.509342902722892 0.959405654568370 4183.903745071141202 0.956092261673153 4185.298612117758239 0.956946394680068 4186.693944197559176 0.960876291238092 4188.089741465580119 0.963117688342720 4189.486004076905374 0.958061211288614 4190.882732186684734 0.950452972914833 4192.279925950104371 0.943983850505162 4193.677585522409572 0.938616101507814 4195.075711058891102 0.938603058588868 4196.474302714904297 0.942372261515148 4197.873360645844514 0.946949064895122 4199.272885007162586 0.949602707050366 4200.672875954356641 0.953558398750922 4202.073333642990292 0.957779545079196 4203.474258228665349 0.960467602280267 4204.875649867039101 0.963051862304907 4206.277508713819770 0.973591200977245 4207.679834924775605 0.990956545581076 4209.082628655718509 0.999223245944839 4210.485890062512226 0.994103951297513 4211.889619301072344 0.986608737208414 4213.293816527376293 0.986582161390404 4214.698481897441525 0.991719887584963 4216.103615567342786 0.992558328123173 4217.509217693202118 0.985964911132146 4218.915288431204317 0.976214236309289 4220.321827937576927 0.969425829267431 4221.728836368601151 0.972205417270199 4223.136313880607304 0.983385141081658 4224.544260629990276 0.993877888350166 4225.952676773184066 0.994901438585842 4227.361562466679970 0.990058533287603 4228.770917867020216 0.990128715003048 4230.180743130796145 0.995944736579247 4231.591038414662762 1.006102321322023 4233.001803875316000 1.012829179079685 4234.413039669508180 1.008605412836860 4235.824745954037098 1.002196701207274 4237.236922885768763 1.005916003376629 4238.649570621608291 1.017199407482095 4240.062689318514458 1.024237189622198 4241.476279133497883 1.022602431657649 4242.890340223631938 1.014316497881663 4244.304872746030014 1.008432053470137 4245.719876857863710 1.004141201693547 4247.135352716350098 0.994911773936520 4248.551300478772646 0.985413599930131 4249.967720302455746 0.982395513002794 4251.384612344778361 0.984891108478350 4252.801976763169478 0.985348940632584 4254.219813715121745 0.981599886336751 4255.638123358169651 0.977226788782499 4257.056905849901341 0.977644136729187 4258.476161347956804 0.986633535799349 4259.895890010038784 0.992379916739376 4261.316091993890041 0.985180774843240 4262.736767457312453 0.974594206402124 4264.157916558152465 0.971485791431900 4265.579539454325641 0.974646678632069 4267.001636303785745 0.976812122635470 4268.424207264542929 0.976475574957428 4269.847252494656459 0.979847829930720 4271.270772152251084 0.992059432282894 4272.694766395491570 1.009898336798751 4274.119235382599982 1.025602469356077 4275.544179271849316 1.037522850035571 4276.969598221563501 1.046816149211457 4278.395492390130130 1.059183766419629 4279.821861935978632 1.073364654985932 4281.248707017593915 1.078068911937553 4282.676027793509093 1.073290842758171 4284.103824422326397 1.065987648507569 4285.532097062683533 1.062959288870057 4286.960845873278231 1.054739247797817 4288.390071012855515 1.043827190291325 4289.819772640227711 1.034509506449200 4291.249950914245346 1.022921161025269 4292.680605993817153 1.013371604301528 4294.111738037900977 1.012647004581245 4295.543347205521059 1.023822396596010 4296.975433655738925 1.031778123269069 4298.407997547676132 1.040920670952317 4299.841039040501528 1.047142975772282 4301.274558293451264 1.043356928407988 4302.708555465801510 1.047678042412197 4304.143030716883914 1.064648842791532 4305.577984206081055 1.076111638689295 4307.013416092840998 1.068850526014890 4308.449326536651824 1.067955598524330 4309.885715697058913 1.073402785570170 4311.322583733655847 1.079940365324637 4312.759930806104421 1.086497966097910 4314.197757074106448 1.080245420506928 4315.636062697418311 1.068875392932756 4317.074847835848232 1.068118933667935 4318.514112649269919 1.079619688361818 4319.953857297598006 1.081579493678367 4321.394081940803517 1.081011951593403 4322.834786738911134 1.094274305269825 4324.275971851995564 1.116070109167404 4325.717637440196995 1.136772450608301 4327.159783663694725 1.150527445084534 4328.602410682729897 1.156423827600410 4330.045518657587309 1.158403546035181 4331.489107748622700 1.165264801495713 4332.933178116230920 1.176305236418285 4334.377729920862294 1.182572972690480 4335.822763323019899 1.186185119830127 4337.268278483270478 1.198665583861589 4338.714275562223520 1.214362541641475 4340.160754720545810 1.223122195888210 4341.607716118950520 1.224159961504912 4343.055159918222671 1.224787873677271 4344.503086279182753 1.224793867340422 4345.951495362713104 1.217057324362220 4347.400387329743353 1.207623430286762 4348.849762341269525 1.199300213958045 4350.299620558328570 1.190141229348586 4351.749962142017466 1.181883601038876 4353.200787253479575 1.181127675591983 4354.652096053927380 1.184079560067540 4356.103888704612473 1.188264378125901 4357.556165366844652 1.194235119581898 4359.008926201984650 1.194540916404077 4360.462171371458680 1.190574763833797 4361.915901036734795 1.185840068547207 4363.370115359336523 1.187012205394572 4364.824814500844695 1.194085568142091 4366.279998622888343 1.197639301626710 4367.735667887162890 1.195153474117078 4369.191822455404690 1.188697485781817 4370.648462489409212 1.186158564771801 4372.105588151020129 1.192696115073317 4373.563199602150235 1.202633010486552 4375.021297004752341 1.211683184943282 4376.479880520835650 1.215011969814213 4377.938950312460292 1.213049617654696 4379.398506541756433 1.207351296177213 4380.858549370890614 1.202109445069606 4382.319078962090316 1.204816652742701 4383.780095477632130 1.214144299633311 4385.241599079860862 1.224736410278740 4386.703589931160423 1.232697777071820 4388.166068193973842 1.234208742884668 4389.629034030795083 1.234795174377926 4391.092487604185408 1.243125246389285 4392.556429076744280 1.250028620765958 4394.020858611133917 1.254056610141783 4395.485776370063832 1.261932238564989 4396.951182516310837 1.267665584653844 4398.417077212693584 1.266424975650409 4399.883460622088933 1.258877126064093 4401.350332907425582 1.248193678413872 4402.817694231695896 1.235251894915129 4404.285544757937714 1.221074369177273 4405.753884649244355 1.212642401570854 4407.222714068760069 1.213283551543451 4408.692033179698228 1.216969655458912 4410.161842145310402 1.218601436668391 4411.632141128910007 1.213890374544123 4413.102930293863210 1.207246052552961 4414.574209803586200 1.207661597625881 4416.045979821564288 1.212362536444606 4417.518240511321892 1.223798763840067 4418.990992036444368 1.239238425897473 4420.464234560566183 1.246511281936986 4421.937968247389108 1.242575170159794 4423.412193260658569 1.235990286993033 4424.886909764175471 1.232669248633304 4426.362117921793470 1.229485649361726 4427.837817897434434 1.227286755336089 4429.314009855059339 1.227116679613026 4430.790693958689189 1.227173888336509 4432.267870372396828 1.225381239612167 4433.745539260321493 1.220103514986509 4435.223700786643349 1.217043952337683 4436.702355115603496 1.222735774505793 4438.181502411492147 1.232304981854906 4439.661142838667729 1.238883451841817 4441.141276561530503 1.242406995567296 4442.621903744539850 1.241323509591785 4444.103024552205170 1.237844758402593 4445.584639149104987 1.236305246691218 4447.066747699857842 1.235401836033837 4448.549350369142303 1.234550596568618 4450.032447321687869 1.230897952636359 4451.516038722293160 1.222387701828110 4453.000124735795907 1.214516415394276 4454.484705527094775 1.214970692824913 4455.969781261138451 1.224084697114767 4457.455352102944744 1.237178919856135 4458.941418217572391 1.248208578476117 4460.427979770141064 1.252065397880070 4461.915036925822278 1.252318480962066 4463.402589849841206 1.253658653330986 4464.890638707490325 1.258318933378594 4466.379183664103948 1.266241903742807 4467.868224885075506 1.270724856199297 4469.357762535850270 1.266147774727288 4470.847796781940815 1.256660279207546 4472.338327788902461 1.244342286714633 4473.829355722349646 1.232712479616561 4475.320880747947740 1.227332266184341 4476.812903031430324 1.226199344320962 4478.305422738573725 1.224598314689542 4479.798440035212479 1.220070095406649 4481.291955087233873 1.211431983140369 4482.785968060593405 1.203901393251469 4484.280479121286589 1.199937358177625 4485.775488435370789 1.198019025911948 4487.270996168954298 1.197008691502751 4488.767002488212711 1.198638290650465 4490.263507559365280 1.203653974464394 4491.760511548690374 1.208124204169201 4493.258014622516384 1.210730471403396 4494.756016947241733 1.210320471302345 4496.254518689307588 1.210628436203564 4497.753520015212416 1.207818951778773 4499.253021091509254 1.202992114594899 4500.753022084817530 1.197549766784036 4502.253523161799421 1.189483145717485 4503.754524489178038 1.180612363683456 4505.256026233730154 1.170010719429015 4506.758028562285290 1.158595844267940 4508.260531641741181 1.150239758546319 4509.763535639039219 1.140842039753980 4511.267040721179001 1.131997121574329 4512.771047055211966 1.132884361593975 4514.275554808260495 1.136085883036952 4515.780564147485165 1.137225195734975 4517.286075240111131 1.138511461004336 4518.792088253411748 1.136963520959814 4520.298603354732222 1.131695566231987 4521.805620711456868 1.128698974558486 4523.313140491032755 1.126712519154804 4524.821162860958793 1.126251172220152 4526.329687988800288 1.125175649733712 4527.838716042167107 1.116972069963451 4529.348247188730056 1.109130004687173 4530.858281596208144 1.106606440357640 4532.368819432394957 1.107382635021319 4533.879860865120463 1.112415178207872 4535.391406062281021 1.117199017535330 4536.903455191819376 1.117152241036379 4538.416008421751030 1.117133870615220 4539.929065920132416 1.119496571113122 4541.442627855081810 1.116318463344130 4542.956694394767510 1.109204855572552 4544.471265707428756 1.105719598835428 4545.986341961345715 1.104535846574833 4547.501923324861309 1.098299080751066 4549.018009966368481 1.088256702741172 4550.534602054330207 1.083793177235118 4552.051699757253118 1.085836220149848 4553.569303243702961 1.089716452929130 4555.087412682301874 1.089518727651716 4556.606028241723834 1.087874403879580 4558.125150090714669 1.092417415850635 4559.644778398060225 1.096816403504635 4561.164913332607284 1.094138680272297 4562.685555063256288 1.095274723101446 4564.206703758976801 1.096122875206455 4565.728359588779313 1.088109015344465 4567.250522721738889 1.077370886955746 4568.773193326977889 1.067677913605139 4570.296371573692340 1.064338467016622 4571.820057631119198 1.065360184940671 4573.344251668557263 1.062252671816167 4574.868953855356267 1.057822253235564 4576.394164360937793 1.057124062358819 4577.919883354765261 1.055242639418132 4579.446111006361207 1.051385544938336 4580.972847485303646 1.050580359286432 4582.500092961237897 1.052545793163491 4584.027847603853843 1.052368417911504 4585.556111582902304 1.050883815473413 4587.084885068185031 1.049157094155701 4588.614168229575625 1.046330790906798 4590.143961236989526 1.040763424642158 4591.674264260404016 1.031482690057912 4593.205077469848220 1.030068881035125 4594.736401035421295 1.031645508411939 4596.268235127266053 1.029894301945040 4597.800579915586241 1.027992406796122 4599.333435570641996 1.024269474144181 4600.866802262746205 1.018823949033794 4602.400680162281787 1.009631615828035 4603.935069439676226 1.000118344843556 4605.469970265416123 0.996615079359088 4607.005382810041738 0.997008514865435 4608.541307244163363 0.995599371144234 4610.077743738435856 0.993516765634569 4611.614692463572283 0.990500108182057 4613.152153590342095 0.990883808296755 4614.690127289582961 0.993557638988633 4616.228613732176200 0.994160533046762 4617.767613089064071 0.993947065128960 4619.307125531242491 0.993148505867579 4620.847151229777410 0.994508283514632 4622.387690355778432 0.996777017109120 4623.928743080417007 0.990297949579398 4625.470309574915518 0.980887993908838 4627.012390010569106 0.973170886160119 4628.554984558714750 0.966620633009613 4630.098093390753093 0.960871859601907 4631.641716678134799 0.961448480768998 4633.185854592383293 0.969319999158449 4634.730507305064748 0.973473445131498 4636.275674987808088 0.971574519436305 4637.821357812292263 0.972316825114686 4639.367555950270798 0.975602779098312 4640.914269573537240 0.980390990874693 4642.461498853950616 0.983979228889268 4644.009243963419067 0.983741606265838 4645.557505073923494 0.985720243003268 4647.106282357489363 0.984566456524635 4648.655575986203075 0.977784740314991 4650.205386132207423 0.971326345302602 4651.755712967698855 0.966155792488573 4653.306556664945674 0.967475032328082 4654.857917396258927 0.970818926772154 4656.409795334012415 0.970272676913550 4657.962190650632692 0.968603408020601 4659.515103518616343 0.968162238141366 4661.068534110505425 0.968309204050845 4662.622482598902934 0.967812921976982 4664.176949156465525 0.967494749555996 4665.731933955920795 0.970011868457913 4667.287437170039993 0.972976727900101 4668.843458971657128 0.971109642819319 4670.399999533658956 0.966114349180796 4671.957059029003176 0.964525205805519 4673.514637630692050 0.966098910117827 4675.072735511790597 0.965345959495853 4676.631352845414767 0.967072415381942 4678.190489804754179 0.969892507991792 4679.750146563042108 0.970742547117561 4681.310323293572765 0.968063844550838 4682.871020169695839 0.964970472302570 4684.432237364830144 0.966141132939200 4685.993975052440874 0.968334579589486 4687.556233406052343 0.967557780648107 4689.119012599246162 0.964669782277337 4690.682312805673064 0.956147484615101 4692.246134199029257 0.948166796898330 4693.810476953070975 0.944006043693351 4695.375341241609931 0.940403555788532 4696.940727238530599 0.937550904821976 4698.506635117758378 0.934729260661169 4700.073065053284154 0.931603942098430 4701.640017219155197 0.927606440135587 4703.207491789472442 0.925249231885058 4704.775488938410490 0.923879365706255 4706.344008840183960 0.919874477647876 4707.913051669075685 0.914508703106795 4709.482617599416699 0.910889721334993 4711.052706805614434 0.911346880766807 4712.623319462117252 0.911964766570880 4714.194455743438084 0.908468511949935 4715.766115824143526 0.905962666418057 4717.338299878871112 0.906179322723989 4718.911008082303852 0.908688409643517 4720.484240609186600 0.912034937410851 4722.057997634318781 0.914793191748177 4723.632279332570761 0.916291792641068 4725.207085878859289 0.911161919514029 4726.782417448162050 0.903742361225587 4728.358274215510392 0.901288485013373 4729.934656356011146 0.900739975111204 4731.511564044811166 0.902568798234616 4733.088997457123696 0.901382441835534 4734.666956768213822 0.898151348388121 4736.245442153419390 0.894311252137332 4737.824453788123719 0.887308294211114 4739.403991847771977 0.884185994340197 4740.984056507863897 0.885713881378013 4742.564647943971977 0.886573001166231 4744.145766331712366 0.885841376698294 4745.727411846764880 0.885481122403341 4747.309584664868453 0.887156450538881 4748.892284961814767 0.888343626485196 4750.475512913469174 0.889152209129305 4752.059268695740684 0.895896994185235 4753.643552484602878 0.900078330541485 4755.228364456081181 0.896018516727362 4756.813704786277412 0.891039396090983 4758.399573651334322 0.888319815585997 4759.985971227459231 0.883359772763863 4761.572897690914942 0.875399260140125 4763.160353218036107 0.870640552179852 4764.748337985201033 0.872511572960422 4766.336852168852602 0.870355970968470 4767.925895945487355 0.866903711234039 4769.515469491676413 0.869762265304303 4771.105572984033643 0.870818964558777 4772.696206599237485 0.867841038206255 4774.287370514020040 0.868134820278497 4775.879064905186169 0.872753440446604 4777.471289949587117 0.875533334510479 4779.064045824135974 0.872975983947055 4780.657332705801309 0.869959351208183 4782.251150771624452 0.870291320926254 4783.845500198692207 0.867441636911536 4785.440381164153223 0.865347764834285 4787.035793845211629 0.867372187745388 4788.631738419146131 0.865357369996569 4790.228215063279094 0.861516316633317 4791.825223954996545 0.862529380095572 4793.422765271738172 0.864649840000194 4795.020839191019149 0.864813361181378 4796.619445890399220 0.862798628291549 4798.218585547499970 0.862447941557967 4799.818258340003922 0.861170287684125 4801.418464445647260 0.858720957251931 4803.019204042241654 0.858141079109164 4804.620477307641522 0.856155372159744 4806.222284419765856 0.852254682095562 4807.824625556588217 0.848643387424094 4809.427500896156744 0.845360935968775 4811.030910616563233 0.843770341466736 4812.634854895964963 0.842297683077659 4814.239333912573784 0.843576166837387 4815.844347844673393 0.846998224581428 4817.449896870593875 0.849791182424408 4819.055981168730796 0.850083569345646 4820.662600917531563 0.843846424792960 4822.269756295520892 0.836765130255132 4823.877447481265335 0.835224880948539 4825.485674653397837 0.836843416077828 4827.094437990605002 0.839656054459184 4828.703737671648923 0.841294432061365 4830.313573875335351 0.838423933904034 4831.923946780535516 0.836285051384341 4833.534856566173403 0.836749596376579 4835.146303411250301 0.838320552980308 4836.758287494810247 0.841660413312831 4838.370808995962761 0.845524396491409 4839.983868093871024 0.846816468360520 4841.597464967775522 0.846448679395449 4843.211599796958581 0.846128310255991 4844.826272760768916 0.847003737705496 4846.441484038608905 0.845181015826940 4848.057233809957324 0.841776983943744 4849.673522254337513 0.839203202242403 4851.290349551335567 0.836716274903154 4852.907715880599426 0.834580990105280 4854.525621421832511 0.831759753688364 4856.144066354811002 0.828710577478786 4857.763050859357463 0.827256133939304 4859.382575115358122 0.827541399876674 4861.002639302757416 0.827594722920056 4862.623243601569811 0.827518916913596 4864.244388191859798 0.830607135734742 4865.866073253752802 0.833702769454206 4867.488298967431547 0.834945569806586 4869.111065513154244 0.836450185732045 4870.734373071221853 0.839797854508343 4872.358221822003543 0.842804104312264 4873.982611945920326 0.841455896578397 4875.607543623470519 0.839520388282160 4877.233017035197918 0.841776492316234 4878.859032361709069 0.845078440598722 4880.485589783668729 0.845731756664708 4882.112689481815323 0.845144513379421 4883.740331636932751 0.847405954803221 4885.368516429868578 0.850037927801745 4886.997244041529484 0.847867359605156 4888.626514652894002 0.847175571021040 4890.256328444987048 0.853575291450636 4891.886685598899930 0.860007219080211 4893.517586295777619 0.860427650011794 4895.149030716841480 0.858441796157263 4896.781019043358356 0.854771330743562 4898.413551456660571 0.849338778228097 4900.046628138139567 0.847825752479134 4901.680249269244086 0.850516036673396 4903.314415031497447 0.850315617051364 4904.949125606469352 0.846331455809863 4906.584381175793169 0.842856418683605 4908.220181921158655 0.843665335090742 4909.856528024332874 0.846747277984934 4911.493419667126545 0.850322606874945 4913.130857031415871 0.852073109281909 4914.768840299133444 0.846977143845278 4916.407369652289162 0.846537713337145 4918.046445272933852 0.852359753375089 4919.686067343190189 0.855719613173823 4921.326236045230871 0.861199270161891 4922.966951561307724 0.869451854437238 4924.608214073718045 0.874395660842789 4926.250023764823709 0.874382264953619 4927.892380817042977 0.875634146143071 4929.535285412870508 0.880858379067091 4931.178737734846436 0.883801052933011 4932.822737965575470 0.885312834111215 4934.467286287719617 0.889333400888625 4936.112382884017279 0.891240855091988 4937.758027937250517 0.892285839459856 4939.404221630271422 0.894696697409796 4941.050964145982107 0.901856391742217 4942.698255667366539 0.908198252454991 4944.346096377450522 0.907179843366996 4945.994486459328073 0.905245782258931 4947.643426096148687 0.906417924762631 4949.292915471138258 0.908364794072489 4950.942954767568153 0.907779980067036 4952.593544168775225 0.905887191580593 4954.244683858159988 0.910903603761374 4955.896374019174800 0.913070694207856 4957.548614835353874 0.913509374093881 4959.201406490272348 0.916308358272836 4960.854749167574482 0.921128667763172 4962.508643050960018 0.924702520406393 4964.163088324204182 0.923157216553245 4965.818085171131315 0.921891522911903 4967.473633775627604 0.920157548931632 4969.129734321639262 0.916459848553786 4970.786386993186170 0.918369760273025 4972.443591974338233 0.922617739658335 4974.101349449227200 0.926268400285012 4975.759659602043030 0.922539619856815 4977.418522617054805 0.918602503538645 4979.077938678573446 0.921571087702331 4980.737907970979904 0.925898435045550 4982.398430678708792 0.927713755223254 4984.059506986273846 0.925177174528838 4985.721137078233369 0.923730656365786 4987.383321139213876 0.923935466595093 4989.046059353896453 0.925103868396040 4990.709351907040400 0.932284405022267 4992.373198983450493 0.935794708355044 4994.037600767998811 0.932951908742072 4995.702557445614730 0.931655504136718 4997.368069201302205 0.936578093584649 4999.034136220114306 0.943706517660149 5000.700758687167763 0.946745739860668 5002.367936787644794 0.951368776427575 5004.035670706781275 0.956571927367710 5005.703960629891299 0.956801023816997 5007.372806742336252 0.956898400450333 5009.042209229542095 0.960822077810905 5010.712168276992998 0.961721136614789 5012.382684070251344 0.963418768043328 5014.053756794924084 0.967886991532425 5015.725386636685471 0.971659253099944 5017.397573781267965 0.974451246286082 5019.070318414480425 0.978715186731473 5020.743620722177184 0.982901740839412 5022.417480890281695 0.988888027018347 5024.091899104772892 0.995204098454139 5025.766875551708836 0.999646405382232 5027.442410417190331 1.001634917957303 5029.118503887390034 1.003742750770005 5030.795156148533351 1.004805726335496 5032.472367386927544 1.007042988389476 5034.150137788923530 1.010918035955366 5035.828467540939528 1.014714326594464 5037.507356829451965 1.014925071153078 5039.186805841014575 1.012504234855100 5040.866814762227477 1.008436444595030 5042.547383779758093 1.003746029791342 5044.228513080332050 1.000542974393443 5045.910202850750466 1.001324749513727 5047.592453277863569 1.004121496265579 5049.275264548587074 1.008908283902501 5050.958636849896720 1.015935113408157 5052.642570368841916 1.019556514510538 5054.327065292523002 1.026546844427270 5056.012121808105803 1.037430830242809 5057.697740102817988 1.046538926758294 5059.383920363945435 1.053074897630503 5061.070662778852238 1.054163303148812 5062.757967534949785 1.055000510779660 5064.445834819714946 1.060440875592704 5066.134264820683711 1.066037453123409 5067.823257725471194 1.070603268083541 5069.512813721736165 1.073721777547960 5071.202932997207427 1.073922027762563 5072.893615739671986 1.077104526696169 5074.584862136993252 1.079895858735697 5076.276672377081923 1.080676658558315 5077.969046647916912 1.076899327537642 5079.661985137535339 1.067873901913220 5081.355488034050722 1.066047974269054 5083.049555525626602 1.066782258574243 5084.744187800491090 1.067905607645774 5086.439385046932330 1.075241877120841 5088.135147453314858 1.084536420557103 5089.831475208053234 1.093993684003037 5091.528368499627504 1.099239662561113 5093.225827516575919 1.105611531317221 5094.923852447514946 1.114764983098249 5096.622443481110167 1.120210617620440 5098.321600806092647 1.121866869982864 5100.021324611253476 1.119071073233701 5101.721615085461053 1.118836386821175 5103.422472417631070 1.121487540220556 5105.123896796747431 1.126976847763684 5106.825888411852247 1.136015229533903 5108.528447452065848 1.137548237195836 5110.231574106557673 1.133991913429226 5111.935268564562648 1.133966617427658 5113.639531015380271 1.141474453329993 5115.344361648368249 1.148501498120923 5117.049760652962505 1.147223851340785 5118.755728218646254 1.145618462111312 5120.462264534971837 1.144611715724677 5122.169369791548888 1.147294322781134 5123.877044178067081 1.158696668715983 5125.585287884261561 1.169297242591769 5127.294101099937507 1.175976629001867 5129.003484014958303 1.179693543593087 5130.713436819265553 1.182044102714565 5132.423959702849061 1.184873021180848 5134.135052855766844 1.190948638876838 5135.846716468135128 1.193990872814879 5137.558950730148354 1.194103619538634 5139.271755832050985 1.196734726611670 5140.985131964152970 1.200651761619747 5142.699079316826101 1.205800627737805 5144.413598080518568 1.206934911382061 5146.128688445727676 1.207527941113102 5147.844350603018029 1.208018237985500 5149.560584743013351 1.211294269061850 5151.277391056418310 1.219040754041612 5152.994769733983048 1.221063769930708 5154.712720966526831 1.221995272997201 5156.431244944929858 1.217982204823039 5158.150341860147819 1.216964730719665 5159.870011903186423 1.219593909161237 5161.590255265120504 1.221666036461507 5163.311072137088559 1.224826581360860 5165.032462710287291 1.223019086354597 5166.754427175992532 1.220024994727710 5168.476965725527407 1.217848837346217 5170.200078550286889 1.223626891033177 5171.923765841721433 1.231443434113000 5173.648027791363347 1.234348242765470 5175.372864590790414 1.239952858946442 5177.098276431653176 1.239926664569545 5178.824263505657655 1.235207022065729 5180.550826004589908 1.233232099007446 5182.277964120286924 1.234027691445865 5184.005678044652086 1.228133330997764 5185.733967969646983 1.217933204721191 5187.462834087316878 1.215322756450019 5189.192276589750691 1.215955786513060 5190.922295669110099 1.219290586033505 5192.652891517613170 1.227605720551826 5194.384064327558917 1.231760730178361 5196.115814291295464 1.237135261222744 5197.848141601238240 1.249827274578589 5199.581046449864516 1.260247305104535 5201.314529029727964 1.262745903055079 5203.048589533434097 1.262268398103768 5204.783228153654818 1.260107137924256 5206.518445083123879 1.256514403249601 5208.254240514652338 1.254541148727920 5209.990614641102184 1.251851011641743 5211.727567655403618 1.247248906474085 5213.465099750545050 1.245756451310874 5215.203211119597654 1.249569652889495 5216.941901955678986 1.257890631008291 5218.681172451977545 1.262872768536391 5220.421022801744584 1.262648615414012 5222.161453198292293 1.263573659761246 5223.902463835011986 1.269339861398813 5225.644054905344092 1.271130852668460 5227.386226602799070 1.272777887990493 5229.128979120945587 1.278187910880138 5230.872312653434165 1.281662721346875 5232.616227393962617 1.288380731036448 5234.360723536299702 1.290855632976011 5236.105801274272380 1.296065682545854 5237.851460801789472 1.304571785025855 5239.597702312807087 1.310180593370532 5241.344526001354097 1.318165455936654 5243.091932061513944 1.322829764683652 5244.839920687454651 1.324887084279929 5246.588492073392445 1.325079929385491 5248.337646413612674 1.323872304607233 5250.087383902459806 1.324551494915182 5251.837704734360159 1.326811124108406 5253.588609103789167 1.328880411466667 5255.340097205291386 1.326425786634213 5257.092169233470486 1.326890263704762 5258.844825383013813 1.329703372454089 5260.598065848653277 1.336028086839855 5262.351890825193550 1.341023202125604 5264.106300507501146 1.344256205167202 5265.861295090518979 1.347213368876397 5267.616874769240894 1.351291209315327 5269.373039738733496 1.352352552463429 5271.129790194117959 1.352492282759092 5272.887126330601859 1.356546946856145 5274.645048343438248 1.356309014050971 5276.403556427952935 1.352658976398134 5278.162650779533578 1.350744692428732 5279.922331593632407 1.350327768046457 5281.682599065778049 1.351456609167272 5283.443453391550975 1.355124603910987 5285.204894766602592 1.358022189293240 5286.966923386642520 1.363448760576543 5288.729539447462230 1.366738976948237 5290.492743144902306 1.367423678669475 5292.256534674876093 1.369480411345779 5294.020914233353324 1.371500777893389 5295.785882016387404 1.371185213614797 5297.551438220079945 1.372563187168090 5299.317583040604404 1.377304616216626 5301.084316674194270 1.377090528350676 5302.851639317163063 1.373675587136150 5304.619551165875237 1.371107515163113 5306.388052416765277 1.375083502154774 5308.157143266328603 1.380864654538984 5309.926823911140673 1.385201358017704 5311.697094547826055 1.384371844618304 5313.467955373083896 1.383758064253670 5315.239406583670643 1.379710590460128 5317.011448376424596 1.373087045451595 5318.784080948233168 1.373007728031137 5320.557304496056531 1.374428484029325 5322.331119216913066 1.376711798383411 5324.105525307905737 1.376943922172781 5325.880522966184799 1.373824501892095 5327.656112388971451 1.370471450275798 5329.432293773553283 1.372144894509221 5331.209067317279732 1.377420050701816 5332.986433217579361 1.383547355966169 5334.764391671933481 1.390525158758721 5336.542942877891619 1.392640518812183 5338.322087033065145 1.392283896150173 5340.101824335149104 1.389350480728246 5341.882154981885833 1.387064306188481 5343.663079171088611 1.389566356094505 5345.444597100634383 1.391928359302336 5347.226708968479215 1.391378070464339 5349.009414972631930 1.390415900192558 5350.792715311167740 1.385778364776487 5352.576610182228251 1.377774993951998 5354.361099784034195 1.376459193923244 5356.146184314857237 1.379980872879081 5357.931863973039071 1.379325885697370 5359.718138956983239 1.379096853717025 5361.505009465176954 1.377658020141452 5363.292475696154725 1.376675629822475 5365.080537848523818 1.376970562019355 5366.869196120953347 1.376058356741828 5368.658450712192462 1.378823764458160 5370.448301821043060 1.379879170034763 5372.238749646377983 1.374523483280320 5374.029794387128277 1.369038250736910 5375.821436242312302 1.367188597364330 5377.613675410993892 1.363209826851387 5379.406512092312369 1.362505617030729 5381.199946485465262 1.362223198780016 5382.993978789734683 1.358981459871854 5384.788609204451859 1.356465315736433 5386.583837929018955 1.356799931109115 5388.379665162907258 1.360306930708645 5390.176091105648084 1.362813077606823 5391.973115956854599 1.365496289805882 5393.770739916189996 1.365611052230503 5395.568963183390224 1.362747577184422 5397.367785958253990 1.363283728180096 5399.167208440660943 1.362112195795327 5400.967230830539847 1.357777956832702 5402.767853327895864 1.355923081196498 5404.569076132790542 1.357199692370828 5406.370899445370924 1.354883332547114 5408.173323465834983 1.351787933530768 5409.976348394451634 1.344901434511722 5411.779974431551636 1.339110560270252 5413.584201777548515 1.332380230063380 5415.389030632906724 1.326195026264618 5417.194461198163481 1.322637259255215 5419.000493673915116 1.316707447603034 5420.807128260844365 1.310612409857970 5422.614365159682166 1.304981040890713 5424.422204571232214 1.302488494877621 5426.230646696361873 1.300745637250148 5428.039691736017630 1.300143018569743 5429.849339891201453 1.300161869943402 5431.659591362983520 1.298487043017087 5433.470446352497675 1.292875383163532 5435.281905060961435 1.292858744717393 5437.093967689643250 1.293343256730766 5438.906634439882509 1.290597378592000 5440.719905513086815 1.289016687012242 5442.533781110723794 1.287405464323778 5444.348261434349297 1.283097566672066 5446.163346685563738 1.279949894028427 5447.979037066045748 1.277277264091789 5449.795332777530348 1.272893128880616 5451.612234021842596 1.268994587628382 5453.429741000852118 1.270241153181677 5455.247853916505846 1.272090410779568 5457.066572970808920 1.265269148220718 5458.885898365853791 1.260301636230432 5460.705830303782932 1.259810053512642 5462.526368986808848 1.266466898433836 5464.347514617209526 1.274456769912706 5466.169267397344811 1.282485711838967 5467.991627529627294 1.292565711059281 5469.814595216540511 1.296514459324044 5471.638170660630749 1.293656590172378 5473.462354064528881 1.294566225957694 5475.287145630916712 1.294225674682301 5477.112545562547893 1.291001497946929 5478.938554062240655 1.290055057230863 5480.765171332895079 1.284579153829766 5482.592397577462179 1.275375913068940 5484.420232998969368 1.270072777240821 5486.248677800501355 1.266350204422993 5488.077732185231071 1.263516955964672 5489.907396356381469 1.259541489314745 5491.737670517248262 1.259905077778814 5493.568554871189917 1.260392438463570 5495.400049621647668 1.255842315923733 5497.232154972117314 1.250877911936543 5499.064871126165599 1.245466905206262 5500.898198287427476 1.247875183474878 5502.732136659599746 1.248726199682734 5504.566686446465610 1.248570703848855 5506.401847851858292 1.244568445304365 5508.237621079682867 1.241888589923737 5510.074006333910802 1.243468096113212 5511.911003818595418 1.241547170586148 5513.748613737840969 1.233769578634719 5515.586836295828107 1.223625275785591 5517.425671696795689 1.213213030503529 5519.265120145071705 1.196209119385060 5521.105181845034167 1.185813060472224 5522.945857001133845 1.180784785637355 5524.787145817883356 1.178217978615702 5526.629048499882629 1.161292447748445 5528.471565251782522 1.152157894262207 5530.314696278306656 1.154430603396304 5532.158441784240495 1.163973037155079 5534.002801974457725 1.167078855209135 5535.847777053881146 1.168412032122496 5537.693367227507224 1.170295870999709 5539.539572700396093 1.169942495329530 5541.386393677693377 1.169680018652361 5543.233830364596542 1.174825961547526 5545.081882966374906 1.178919156589014 5546.930551688361447 1.176485434468489 5548.779836735978279 1.168855557215120 5550.629738314692077 1.164216238517026 5552.480256630050462 1.164629908552576 5554.331391887658356 1.156065566720059 5556.183144293210717 1.142083500915865 5558.035514052451617 1.130742833478906 5559.888501371199709 1.119453891961051 5561.742106455342764 1.112087540591809 5563.596329510830401 1.106704039186568 5565.451170743699549 1.100401803853128 5567.306630360038071 1.095172357786993 5569.162708566007495 1.086353319337453 5571.019405567834838 1.080244017811452 5572.876721571828966 1.080646411588984 5574.734656784352410 1.079843308759633 5576.593211411844095 1.077848114628009 5578.452385660804794 1.074741992044942 5580.312179737818951 1.066837141195002 5582.172593849525583 1.062997192140005 5584.033628202636464 1.056039146491189 5585.895283003928853 1.052016239573777 5587.757558460264590 1.049117034803392 5589.620454778556450 1.050329294839292 5591.483972165794512 1.050399202311468 5593.348110829028883 1.045538818644540 5595.212870975397891 1.039175755902958 5597.078252812091705 1.035510194810883 5598.944256546375073 1.032804869087890 5600.810882385575496 1.033613814220352 5602.678130537107791 1.037586580475906 5604.546001208438611 1.041673462345640 5606.414494607108281 1.040660970074960 5608.283610940721701 1.033782803085401 5610.153350416971080 1.031760921839592 5612.023713243597740 1.033609035572567 5613.894699628420312 1.032946089050821 5615.766309779326548 1.031907962963561 5617.638543904266953 1.030961563663515 5619.511402211279346 1.028845242114256 5621.384884908454296 1.027132390129899 5623.258992203955131 1.028362003063359 5625.133724306009753 1.034374443893677 5627.009081422935196 1.039784257775665 5628.885063763097605 1.041278312474480 5630.761671534939524 1.043779683606314 5632.638904946967159 1.047698415372978 5634.516764207773122 1.046126970291126 5636.395249526003681 1.041816473997416 5638.274361110377868 1.039045616059977 5640.154099169682013 1.036101703392259 5642.034463912787032 1.030073392855158 5643.915455548614773 1.026040247229599 5645.797074286166207 1.020474413795456 5647.679320334504155 1.017902544833854 5649.562193902777835 1.017752150464678 5651.445695200189220 1.013338575918026 5653.329824436017589 1.010096101108903 5655.214581819604973 1.006923369433785 5657.099967560378900 1.005413146193519 5658.985981867821465 1.008277570910414 5660.872624951491161 1.004595475348978 5662.759897021007419 1.003706784936314 5664.647798286079706 1.003835603355979 5666.536328956468424 1.000932581485876 5668.425489242010372 1.001255624419492 5670.315279352606922 1.006587887867887 5672.205699498246759 1.012146450562880 5674.096749888969498 1.011353866653870 5675.988430734892063 1.008982705494503 5677.880742246202317 1.011322132798277 5679.773684633150879 1.010047672421638 5681.667258106075678 1.006255372198151 5683.561462875368306 1.005673568526597 5685.456299151495841 1.005153680393312 5687.351767144990845 1.005865344518109 5689.247867066470462 1.007146638500480 5691.144599126608227 1.008096686904817 5693.041963536152252 1.007592118854594 5694.939960505914314 1.005187181295347 5696.838590246794411 1.007007658418139 5698.737852969746200 1.006553988180656 5700.637748885797919 1.004647986345905 5702.538278206045106 1.002111195098121 5704.439441141667885 0.996319593559800 5706.341237903900947 0.986567964326367 5708.243668704055381 0.982333747996888 5710.146733753505941 0.980345280664661 5712.050433263717423 0.976249215919228 5713.954767446203732 0.979589784885434 5715.859736512559721 0.985805489855028 5717.765340674442086 0.986461619543254 5719.671580143596657 0.985667662145298 5721.578455131821102 0.988977869006478 5723.485965850990397 0.991539802036875 5725.394112513045002 0.989075699516730 5727.302895330012689 0.988186905071469 5729.212314513975798 0.991209680630722 5731.122370277089431 0.985289946748040 5733.033062831578718 0.977241440404382 5734.944392389752466 0.982372617641697 5736.856359163976776 0.988191152330246 5738.768963366690514 0.987999800973895 5740.682205210406210 0.984946114486356 5742.596084907700060 0.983134180918228 5744.510602671238303 0.979917997616049 5746.425758713737196 0.977299366883605 5748.341553247993033 0.978759330528658 5750.257986486866685 0.979390894369385 5752.175058643305420 0.972548614478715 5754.092769930312897 0.964550745842816 5756.011120560966447 0.958895894102247 5757.930110748412517 0.954370352336564 5759.849740705882141 0.954137309807246 5761.770010646661831 0.956242373323211 5763.690920784115406 0.952601816302066 5765.612471331671259 0.948559141452599 5767.534662502846913 0.949707434392403 5769.457494511213554 0.956045667457685 5771.380967570418761 0.959580386577757 5773.305081894175601 0.959911272296642 5775.229837696287177 0.963043540636198 5777.155235190608437 0.961046359504215 5779.081274591073452 0.953499210527165 5781.007956111679960 0.950121543236381 5782.935279966514827 0.945749970052740 5784.863246369721310 0.939857095683249 5786.791855535515424 0.925524731534079 5788.721107678184126 0.910221918293936 5790.651003012097135 0.903283976891379 5792.581541751684199 0.896708502784349 5794.512724111447824 0.895198812507188 5796.444550305965095 0.894549344496270 5798.377020549875851 0.894933040693047 5800.310135057912703 0.895787780963161 5802.243894044860099 0.894729758791585 5804.178297725578886 0.899156706688724 5806.113346314996306 0.905650671608337 5808.049040028132367 0.907068336931207 5809.985379080056191 0.903985626083688 5811.922363685916935 0.898338533694321 5813.859994060929239 0.892806011920422 5815.798270420396875 0.885881555075409 5817.737192979679094 0.874532485149274 5819.676761954210633 0.862093895468434 5821.616977559493534 0.852132245754883 5823.557840011118969 0.843169519858359 5825.499349524732679 0.832765576223519 5827.441506316057712 0.827947376172153 5829.384310600884419 0.824921993432856 5831.327762595090462 0.822900697683388 5833.271862514608074 0.821604226980811 5835.216610575451341 0.822427298251251 5837.162006993696195 0.825933830093464 5839.108051985507700 0.825336505310136 5841.054745767110035 0.825512200445989 5843.002088554800139 0.832058669282934 5844.950080564945893 0.833456400120910 5846.898722014000668 0.831745737116676 5848.848013118475137 0.833165221978605 5850.797954094957277 0.830308851545510 5852.748545160100548 0.826340361605785 5854.699786530650272 0.824562918801830 5856.651678423404519 0.824721196737765 5858.604221055240487 0.825590085967984 5860.557414643106313 0.821807668955993 5862.511259404018347 0.823515744121094 5864.465755555082069 0.827363829796110 5866.420903313458439 0.826979646776692 5868.376702896385723 0.833465176068738 5870.333154521169490 0.840187560179920 5872.290258405203531 0.845167195159033 5874.248014765938933 0.843975480796787 5876.206423820905002 0.838782718163456 5878.165485787696525 0.836055257715286 5880.125200883996513 0.826313639641288 5882.085569327548910 0.814893409772851 5884.046591336169513 0.807366374167474 5886.008267127745967 0.801499638534037 5887.970596920252319 0.797002566450294 5889.933580931719916 0.787073450031019 5891.897219380258321 0.784988155396237 5893.861512484043487 0.787158016339509 5895.826460461341412 0.786142322941689 5897.792063530474479 0.797068432363735 5899.758321909843289 0.808290646972770 5901.725235817914836 0.811414669534815 5903.692805473247063 0.812173370636274 5905.661031094452483 0.811914297473956 5907.629912900221825 0.813890528596121 5909.599451109315851 0.813273677367373 5911.569645940582632 0.810962007626755 5913.540497612928448 0.810631819442007 5915.512006345334157 0.804048557621588 5917.484172356858835 0.801706758064313 5919.456995866625221 0.800905337506416 5921.430477093847003 0.792622835699586 5923.404616257794260 0.791793889878833 5925.379413577817104 0.794354359627185 5927.354869273329314 0.795597408631006 5929.330983563839254 0.797470002057142 5931.307756668909860 0.797990498697905 5933.285188808181374 0.797205990508092 5935.263280201363159 0.792363713349763 5937.242031068253709 0.792783348493941 5939.221441628709727 0.798467150842433 5941.201512102666129 0.797433820262769 5943.182242710123319 0.794894681008050 5945.163633671176285 0.791812797639034 5947.145685205970949 0.790091453992676 5949.128397534737815 0.794110473514341 5951.111770877771050 0.796088688780799 5953.095805455456684 0.799248519535043 5955.080501488238951 0.799973735544493 5957.065859196638485 0.798598885535889 5959.051878801244129 0.798108457498731 5961.038560522737498 0.800609423041692 5963.025904581854775 0.806838481018116 5965.013911199412178 0.806597028640246 5967.002580596294138 0.798914370360920 5968.991912993473306 0.795769776189894 5970.981908611984181 0.794694602919968 5972.972567672934019 0.796302154069174 5974.963890397502837 0.800371024083131 5976.955877006960691 0.799650126277038 5978.948527722634026 0.793588770924391 5980.941842765925685 0.788399017466749 5982.935822358318546 0.790919768347369 5984.930466721358243 0.795661822027993 5986.925776076684997 0.794339823937706 5988.921750645991779 0.786393346160740 5990.918390651056143 0.782603813789724 5992.915696313718399 0.781353568396431 5994.913667855915264 0.780436456648438 5996.912305499636204 0.776337199652069 5998.911609466953450 0.774110817564385 6000.911579980005627 0.771343913623201 6002.912217261022306 0.771529871209400 6004.913521532293089 0.776718149249016 6006.915493016182154 0.784537523209122 6008.918131935126439 0.779947467716591 6010.921438511652923 0.773701516436224 6012.925412968345881 0.777753384613049 6014.930055527868717 0.784042999226262 6016.935366412952135 0.788184372089697 6018.941345846424156 0.786972771187304 6020.947994051161004 0.786645039946473 6022.955311250127124 0.785185026995140 6024.963297666348808 0.786622661831014 6026.971953522950571 0.797337838842405 6028.981279043107861 0.807475147466986 6030.991274450080709 0.806440635725804 6033.001939967194630 0.804063780494445 6035.013275817869726 0.802750919839645 6037.025282225582487 0.800371430683707 6039.037959413888530 0.800209704896245 6041.051307606411683 0.803497625861681 6043.065327026870364 0.803111731299712 6045.080017899037557 0.799160605942614 6047.095380446769923 0.801695114421210 6049.111414893994151 0.805515891506744 6051.128121464709693 0.802403404486386 6053.145500383006947 0.802268717439556 6055.163551873030883 0.803100322077676 6057.182276159012872 0.798619930454718 6059.201673465247950 0.792569491147221 6061.221744016124831 0.795165841105652 6063.242488036091345 0.804048618143413 6065.263905749673540 0.803509849919488 6067.285997381467496 0.809613387322803 6069.308763156162968 0.815056769567166 6071.332203298504282 0.812072438077607 6073.356318033319440 0.809197009720900 6075.381107585502832 0.814218698590208 6077.406572180045259 0.824181771554871 6079.432712041989362 0.827387758222277 6081.459527396464182 0.830279645702813 6083.487018468663337 0.832193800641383 6085.515185483877758 0.834496480395519 6087.544028667452039 0.838580890815518 6089.573548244813537 0.845717525185795 6091.603744441458730 0.853285813262652 6093.634617482976864 0.860701381879748 6095.666167595013576 0.863848318642656 6097.698395003298174 0.861695982485554 6099.731299933626360 0.861734966800948 6101.764882611889334 0.864627245461882 6103.799143264033773 0.867492029785259 6105.834082116090940 0.870396199099569 6107.869699394162126 0.873470153365172 6109.905995324423202 0.877753163051178 6111.942970133139170 0.877231947150305 6113.980624046636876 0.874521446797520 6116.018957291322295 0.872262901313370 6118.057970093667791 0.876719701881566 6120.097662680245776 0.884692841993766 6122.138035277681411 0.888835243059869 6124.179088112682621 0.893961543220058 6126.220821412027362 0.898249876986950 6128.263235402586361 0.907298513950768 6130.306330311289457 0.913387866334189 6132.350106365146530 0.915628661620048 6134.394563791237488 0.920371364533241 6136.439702816736826 0.927352771296034 6138.485523668876340 0.925547374036203 6140.532026574970587 0.924777049874020 6142.579211762399609 0.930343327704609 6144.627079458642584 0.938398220071244 6146.675629891235076 0.948873802606226 6148.724863287791777 0.959825324161642 6150.774779876000139 0.967114026311040 6152.825379883641290 0.970378505665895 6154.876663538552748 0.977990356303557 6156.928631068656614 0.984279148820943 6158.981282701940472 0.990182600566608 6161.034618666491042 0.998347524710872 6163.088639190449612 1.004475234714230 6165.143344502042055 1.007828527499799 6167.198734829560635 1.010394041265543 6169.254810401396753 1.012829642485893 6171.311571445995469 1.020009509068693 6173.369018191886425 1.033327743303351 6175.427150867673845 1.037592559890147 6177.485969702034708 1.050437349034744 6179.545474923737856 1.065306863847323 6181.605666761610337 1.066151641559610 6183.666545444564690 1.066949397716747 6185.728111201578940 1.068936109419920 6187.790364261729337 1.071472535421113 6189.853304854148519 1.072160027731730 6191.916933208052797 1.069857006717949 6193.981249552727604 1.069288681857889 6196.046254117553872 1.072585282403776 6198.111947131969828 1.062619676739626 6200.178328825497374 1.054831006270702 6202.245399427729353 1.058928812352008 6204.313159168350467 1.059523102740147 6206.381608277107262 1.059802452065260 6208.450746983827230 1.066016087071846 6210.520575518407895 1.068740205173949 6212.591094110843187 1.072298567979042 6214.662302991183424 1.080495769409120 6216.734202389563507 1.093091797017340 6218.806792536189278 1.105857084113770 6220.880073661360257 1.115039084254300 6222.954045995434171 1.123578497196140 6225.028709768853332 1.133140840355093 6227.104065212129171 1.137555413714302 6229.180112555869528 1.136180073224368 6231.256852030739537 1.140080826741616 6233.334283867488921 1.142547636659582 6235.412408296935610 1.137209079494136 6237.491225549996670 1.131495049140006 6239.570735857645559 1.136203173584924 6241.650939450937585 1.139521398034931 6243.731836561006276 1.140253345730459 6245.813427419057916 1.142559890237550 6247.895712256391562 1.143830149393354 6249.978691304366293 1.149849387534530 6252.062364794424866 1.150287977776351 6254.146732958078246 1.156165671837324 6256.231796026937445 1.160281709504319 6258.317554232669863 1.162881547048621 6260.404007807026574 1.162075567395888 6262.491156981826862 1.163998529021115 6264.579001988991877 1.165797603576509 6266.667543060497337 1.166964226907825 6268.756780428401726 1.173534029548462 6270.846714324838103 1.176662035196921 6272.937344982033210 1.183765442742604 6275.028672632272901 1.184882503581055 6277.120697507927616 1.187429233858516 6279.213419841436917 1.189646817750325 6281.306839865339498 1.191149868496721 6283.400957812230445 1.193450522089523 6285.495773914790334 1.197034470858810 6287.591288405768864 1.199591365333522 6289.687501518014869 1.198050153566507 6291.784413484434481 1.197943838009461 6293.882024538017504 1.201306810442540 6295.980334911825594 1.207410893414316 6298.079344839016812 1.215888907180499 6300.179054552808338 1.222687225958299 6302.279464286501934 1.228921924304257 6304.380574273474849 1.232252047261982 6306.482384747179822 1.230681096292490 6308.584895941161449 1.233155685365657 6310.688108089027082 1.241283337769216 6312.792021424466839 1.247522839340412 6314.896636181241774 1.250377571830617 6317.001952593212991 1.252431630976487 6319.107970894295249 1.250888081425528 6321.214691318492441 1.250968039561543 6323.322114099877581 1.247989899302604 6325.430239472620997 1.248957423478043 6327.539067670953955 1.246900016728792 6329.648598929189575 1.243094551100509 6331.758833481713737 1.241655508630724 6333.869771563010545 1.242823384363774 6335.981413407621403 1.242935527576962 6338.093759250174116 1.242000886792540 6340.206809325366521 1.243741026596782 6342.320563867995588 1.246599216904522 6344.435023112914678 1.249369085099222 6346.550187295066280 1.257799403671203 6348.666056649461098 1.269841169440185 6350.782631411208058 1.273061137685216 6352.899911815476116 1.275075635649085 6355.017898097518810 1.281093203790422 6357.136590492661526 1.282549414065791 6359.255989236326968 1.286248106017089 6361.376094563997867 1.279633996037134 6363.496906711241536 1.275018172634716 6365.618425913697138 1.273603801614708 6367.740652407102061 1.271709472743770 6369.863586427252812 1.270661173060837 6371.987228210030480 1.270834475576157 6374.111577991396189 1.266614079463792 6376.236636007381094 1.261506240474869 6378.362402494116395 1.258454148165308 6380.488877687792410 1.255782388426513 6382.616061824683129 1.260737941244601 6384.743955141136212 1.262100267896392 6386.872557873597543 1.259182784296360 6389.001870258572126 1.258971327929975 6391.131892532649545 1.258536562483334 6393.262624932493054 1.257301767248938 6395.394067694864134 1.258566646823542 6397.526221056581562 1.262341548361966 6399.659085254553247 1.264896258673170 6401.792660525756219 1.267039012587089 6403.926947107267551 1.266726030843900 6406.061945236225256 1.265972905715342 6408.197655149849197 1.267632471847282 6410.334077085435638 1.270519017223686 6412.471211280376338 1.275444162881401 6414.609057972124901 1.275907843840102 6416.747617398219518 1.275904022061351 6418.886889796272953 1.278604136234804 6421.026875403993472 1.282801424770729 6423.167574459150273 1.282444974808973 6425.308987199600779 1.281674949849468 6427.451113863271530 1.281339619675625 6429.593954688190934 1.283479559850425 6431.737509912444693 1.281714826044162 6433.881779774206734 1.275155822952033 6436.026764511728288 1.274533099892509 6438.172464363335166 1.268900873194390 6440.318879567450495 1.267050588818763 6442.466010362559246 1.261946436559936 6444.613856987231884 1.261537702709825 6446.762419680110725 1.268463962408653 6448.911698679938127 1.267322425048854 6451.061694225516476 1.260160705674670 6453.212406555734560 1.258181894616939 6455.363835909553018 1.255093397154159 6457.515982526033440 1.255901574190680 6459.668846644295627 1.261561476193184 6461.822428503548508 1.263093057941730 6463.976728343070135 1.275204144939049 6466.131746402243152 1.276825029331134 6468.287482920503862 1.272820221236262 6470.443938137381338 1.274756910467325 6472.601112292473772 1.280045351654433 6474.759005625482132 1.284291572528066 6476.917618376162864 1.284637878012011 6479.076950784364271 1.277206728361316 6481.237003090004691 1.272672006861680 6483.397775533103413 1.265691623369247 6485.559268353737934 1.254308061793311 6487.721481792077611 1.251680104331459 6489.884416088358194 1.247914142934680 6492.048071482920932 1.241032277290486 6494.212448216165285 1.235812699540215 6496.377546528578023 1.238725641810569 6498.543366660716856 1.237662804532871 6500.709908853243178 1.236325236308743 6502.877173346878408 1.235657409544984 6505.045160382427639 1.244116788836932 6507.213870200778729 1.249896753115471 6509.383303042893203 1.248420247015022 6511.553459149832634 1.246244011906962 6513.724338762719526 1.249051741288323 6515.895942122760971 1.246357743377727 6518.068269471241365 1.243832872420561 6520.241321049541511 1.243685732907940 6522.415097099107697 1.241869821688879 6524.589597861468064 1.238144850215856 6526.764823578228970 1.233274259593041 6528.940774491094089 1.232742683394420 6531.117450841829850 1.231370164289855 6533.294852872289994 1.230456441757574 6535.472980824399201 1.225508369940290 6537.651834940187655 1.223991072537938 6539.831415461741926 1.224302472188495 6542.011722631237717 1.224754497166099 6544.192756690924398 1.219723136072675 6546.374517883154112 1.207721693891854 6548.557006450335393 1.201304376966846 6550.740222634969541 1.202939803801126 6552.924166679628797 1.203895945566192 6555.108838826986357 1.204334018219012 6557.294239319777262 1.202665060374782 6559.480368400823863 1.202580533994974 6561.667226313022184 1.200413088815008 6563.854813299371017 1.198938776347702 6566.043129602927365 1.202498907845338 6568.232175466838271 1.203211048929739 6570.421951134324445 1.205144784200170 6572.612456848707552 1.205949776158138 6574.803692853370194 1.205087413223817 6576.995659391783192 1.206973900683816 6579.188356707498315 1.201773459501619 6581.381785044142816 1.198302035595778 6583.575944645443087 1.201964248201206 6585.770835755188273 1.199279852719349 6587.966458617255739 1.196361930973499 6590.162813475595613 1.194143108085225 6592.359900574262610 1.184120396380600 6594.557720157368749 1.176573324204479 6596.756272469117903 1.167430183564097 6598.955557753786707 1.155902814981877 6601.155576255752749 1.143600627574314 6603.356328219455463 1.128323730656274 6605.557813889425233 1.120980381432573 6607.760033510262474 1.115122325950357 6609.962987326672192 1.106367279158674 6612.166675583421238 1.102483553300702 6614.371098525362868 1.100653089415257 6616.576256397426732 1.097175259877760 6618.782149444643437 1.096505038861176 6620.988777912106343 1.102433041956332 6623.196142044996122 1.108733663606793 6625.404242088567116 1.108006856608430 6627.613078288179167 1.112810650584966 6629.822650889252145 1.111477637030856 6632.032960137292321 1.108383763841612 6634.244006277883273 1.110041939578625 6636.455789556711352 1.103875475291373 6638.668310219522937 1.111656838620926 6640.881568512153535 1.112193791925532 6643.095564680520511 1.103611819378947 6645.310298970616714 1.095093796433384 6647.525771628537768 1.082416887020258 6649.741982900441144 1.082561980266404 6651.958933032570712 1.086227587001743 6654.176622271248561 1.084543161702160 6656.395050862898643 1.086664344564228 6658.614219054004934 1.078107806643435 6660.834127091142363 1.068137663179052 6663.054775220961346 1.062734452512971 6665.276163690213252 1.059668983431263 6667.498292745712206 1.064559824695505 6669.721162634361463 1.066749698419719 6671.944773603140675 1.060890059899259 6674.169125899130449 1.056559667482400 6676.394219769474148 1.055511094050837 6678.620055461404263 1.055953970347160 6680.846633222229684 1.058497814245826 6683.073953299362074 1.068333197636552 6685.302015940273122 1.073718309353203 6687.530821392526377 1.072875874030149 6689.760369903759965 1.065546363279941 6691.990661721714787 1.053808505882665 6694.221697094195406 1.042897796486085 6696.453476269092789 1.027477300377987 6698.685999494377029 1.014237620743999 6700.919267018118262 1.006898084899803 6703.153279088453019 0.991104376064270 6705.388035953602412 0.980936729731156 6707.623537861867590 0.972274735169303 6709.859785061650655 0.965648233356961 6712.096777801416465 0.967068607442572 6714.334516329719918 0.970212797642191 6716.573000895199584 0.972860037367302 6718.812231746567704 0.974222152915963 6721.052209132642020 0.973804469954488 6723.292933302302117 0.972841385674622 6725.534404504516715 0.972354009090924 6727.776622988332747 0.973896298767936 6730.019589002897192 0.974228515498455 6732.263302797424330 0.969842032223362 6734.507764621213937 0.962273169757779 6736.752974723644002 0.961818775371938 6738.998933354196197 0.957745587404290 6741.245640762414041 0.952414282515625 6743.493097197932912 0.948949839168327 6745.741302910461854 0.946387993013746 6747.990258149817237 0.943076497245331 6750.239963165873633 0.942249057838130 6752.490418208600204 0.942535395689319 6754.741623528039781 0.938571967513597 6756.993579374340698 0.931018988988849 6759.246285997713130 0.932171425154795 6761.499743648456388 0.930056284522973 6763.753952576949814 0.927289419609375 6766.008913033674617 0.919540882095904 6768.264625269173848 0.914950042222965 6770.521089534082421 0.910963383492835 6772.778306079112554 0.911470920301141 6775.036275155080148 0.920664818423822 6777.294997012862041 0.930936551758552 6779.554471903428748 0.921802463137702 6781.814700077825364 0.896754416454430 6784.075681787202484 0.864755504562168 6786.337417282774368 0.837495686257396 6788.599906815843497 0.808184881064153 6790.863150637797844 0.780683172012481 6793.127149000102690 0.760967790750188 6795.391902154326999 0.740675860403451 6797.657410352103398 0.722963156603536 6799.923673845153644 0.718129288063820 6802.190692885278622 0.727305215768359 6804.458467724383809 0.748248137270178 6806.726998614437434 0.764174737114566 6808.996285807497770 0.776215687047680 6811.266329555700395 0.793815973482508 6813.537130111288207 0.803737260668622 6815.808687726563221 0.811555646181630 6818.081002653921132 0.808347446010260 6820.354075145835850 0.808401167218949 6822.627905454883148 0.813846003968788 6824.902493833705194 0.817224375969618 6827.177840535034193 0.824809419863738 6829.453945811677841 0.835664974560813 6831.730809916552971 0.828747196275880 6834.008433102634626 0.822692892744761 6836.286815622994254 0.816447322898005 6838.565957730778791 0.821443011581254 6840.845859679238856 0.825022898834826 6843.126521721689642 0.822163337781104 6845.407944111539109 0.817024336008840 6847.690127102271617 0.817039471617485 6849.973070947477026 0.816924087732186 6852.256775900807042 0.820996347346091 6854.541242216009778 0.818302604308480 6856.826470146912470 0.819520914232747 6859.112459947422394 0.821590910299040 6861.399211871554144 0.823719964946714 6863.686726173382340 0.828010380201319 6865.975003107076191 0.826552747863160 6868.264042926882212 0.824429206388117 6870.553845887150601 0.821448698033768 6872.844412242298858 0.826587984754938 6875.135742246831796 0.835362428268146 6877.427836155337900 0.830024267698239 6879.720694222505699 0.825275683068236 6882.014316703091026 0.820935673576376 6884.308703851940663 0.826900685679180 6886.603855923980518 0.835201209081410 6888.899773174239272 0.841618973799798 6891.196455857814726 0.850490148107092 6893.493904229891086 0.855015256660522 6895.792118545735320 0.853977259917811 6898.091099060718079 0.857330733686805 6900.390846030274588 0.859562417763377 6902.691359709931930 0.858566398228500 6904.992640355296317 0.847542841393441 6907.294688222078548 0.837797036810088 6909.597503566055821 0.835255839864054 6911.901086643096278 0.826746494673736 6914.205437709146281 0.816155713776511 6916.510557020259512 0.808006477544892 6918.816444832552406 0.806103122673133 6921.123101402235079 0.803635857473834 6923.430526985595861 0.804909754648506 6925.738721839029495 0.809685083155694 6928.047686218995295 0.813428574663414 6930.357420382044438 0.813026216993045 6932.667924584813591 0.813516258377897 6934.979199084018546 0.820856503390362 6937.291244136482419 0.827500290422517 6939.604059999091987 0.828676611334704 6941.917646928825889 0.832901936328096 6944.232005182743706 0.833761309352774 6946.547135018008703 0.838855413661836 6948.863036691852358 0.834656493228926 6951.179710461595278 0.833623480773271 6953.497156584639924 0.835150566625002 6955.815375318494262 0.833280028163802 6958.134366920729917 0.833279231396765 6960.454131649014016 0.833891292627646 6962.774669761090991 0.832959246618770 6965.095981514810774 0.833600986770694 6967.418067168092421 0.836970073879097 6969.740926978944117 0.846141893849745 6972.064561205454083 0.842582715983643 6974.388970105818771 0.845028463805893 6976.714153938299205 0.855278433071281 6979.040112961247360 0.864053137421321 6981.366847433097064 0.874626280112881 6983.694357612388558 0.875151287197057 6986.022643757727565 0.884232676021564 6988.351706127810758 0.893177747352135 6990.681544981417574 0.892702692422635 6993.012160577432951 0.901793605971044 6995.343553174806402 0.911170898555533 6997.675723032582027 0.908093069228238 7000.008670409889419 0.992761796773111 7002.342395565938205 1.277935196951779 7004.676898760044423 1.267023089714604 7007.012180251592326 1.273219287271943 7009.348240300056204 1.261742118069604 7011.685079164990384 1.256225918692598 7014.022697106059240 1.263611521267968 7016.361094382990814 1.261848677668023 7018.700271255606822 1.254139392757870 7021.040227983808109 1.247886508679476 7023.380964827604657 1.244039626326061 7025.722482047071935 1.254891984147879 7028.064779902377268 1.259573602375069 7030.407858653768926 1.244985448310624 7032.751718561604321 1.238741136613528 7035.096359886304526 1.228162798465062 7037.441782888385205 1.208207261270378 7039.787987828442056 1.185414076042089 7042.134974967178096 1.172721547376339 7044.482744565363646 1.169339745446604 7046.831296883860887 1.161497150040536 7049.180632183613852 1.146339315048403 7051.530750725672988 1.141815821028302 7053.881652771156951 1.150892940912963 7056.233338581275348 1.161016085569313 7058.585808417321459 1.173730541004376 7060.939062540693158 1.185806538849316 7063.293101212857437 1.203750606228079 7065.647924695373149 1.218836094230651 7068.003533249881002 1.230398947796887 7070.359927138128114 1.231456028620875 7072.717106621930725 1.224759834545057 7075.075071963197843 1.220122717055553 7077.433823423923968 1.212105080142616 7079.793361266185457 1.196770631482625 7082.153685752168712 1.175971093449556 7084.514797144123804 1.163115015628941 7086.876695704398117 1.149707208458065 7089.239381695415432 1.129743144036389 7091.602855379712310 1.112915276521409 7093.967117019889884 1.091593466209830 7096.332166878642965 1.074579088328503 7098.698005218747312 1.068525492855862 7101.064632303089638 1.064513523333938 7103.432048394620324 1.065909751931818 7105.800253756386155 1.068085341899582 7108.169248651513044 1.067362803534890 7110.539033343238771 1.065957283317364 7112.909608094863870 1.065509185697813 7115.280973169785284 1.067354393457188 7117.653128831482718 1.081968546481539 7120.026075343541379 1.090473466855361 7122.399812969616505 1.089987216806759 7124.774341973456103 1.100995906575976 7127.149662618889124 1.109539158663839 7129.525775169854569 1.113768856969589 7131.902679890357831 1.115798610473860 7134.280377044499801 1.120912871543308 7136.658866896461404 1.134058776356166 7139.038149710533617 1.135786213864194 7141.418225751074715 1.123019197435020 7143.799095282536655 1.123843082828774 7146.180758569454156 1.116487313197775 7148.563215876471077 1.099580852876622 7150.946467468295850 1.077502476182547 7153.330513609736045 1.062270079061552 7155.715354565685629 1.072154597174479 7158.100990601118610 1.078070635243070 7160.487421981120860 1.060599337669245 7162.874648970843737 1.055997602583225 7165.262671835535002 1.059067372084347 7167.651490840524275 1.041783725180002 7170.041106251248493 1.046691533169580 7172.431518333213717 1.084527710257422 7174.822727352022412 1.103505556307250 7177.214733573356170 1.100373959208580 7179.607537263008453 1.082684372842960 7182.001138686839113 1.075067982044453 7184.395538110803500 1.088204005930765 7186.790735800938819 1.104215039705584 7189.186732023392324 1.120021369029057 7191.583527044379480 1.129407210908316 7193.981121130211250 1.112148612821951 7196.379514547277722 1.072517867228720 7198.778707562082673 1.054582175495693 7201.178700441196270 1.044797584178620 7203.579493451283270 1.029650727857542 7205.981086859093011 1.009484523299039 7208.383480931482154 0.983800837648457 7210.786675935376479 0.957964895431567 7213.190672137798174 0.935686717083738 7215.595469805849461 0.918136734779864 7218.001069206746251 0.900260080589179 7220.407470607769028 0.892552438023002 7222.814674276295591 0.900102607298749 7225.222680479793780 0.900809974076662 7227.631489485812381 0.904863241560874 7230.041101562010226 0.917014519474026 7232.451516976117091 0.915571673579406 7234.862735995954608 0.904511215340193 7237.274758889429904 0.892783513773284 7239.687585924559244 0.889171606474481 7242.101217369428014 0.891162137848290 7244.515653492218007 0.880889619468773 7246.930894561191053 0.868341913438053 7249.346940844723576 0.849521597652012 7251.763792611255667 0.826790403217539 7254.181450129328368 0.812695001942921 7256.599913667562760 0.802298585340170 7259.019183494690878 0.828941569627785 7261.439259879513884 0.856124821732223 7263.860143090928432 0.855485268450503 7266.281833397913942 0.863752495555597 7268.704331069563523 0.871300284688898 7271.127636375034854 0.888970940028501 7273.551749583584751 0.910340661540939 7275.976670964550067 0.926378701587496 7278.402400787383158 0.933527006074069 7280.828939321602775 0.927186541992024 7283.256286836822255 0.907654941117392 7285.684443602739520 0.895802117873577 7288.113409889166178 0.886845957902103 7290.543185965979319 0.862839368740066 7292.973772103154261 0.846893666264599 7295.405168570748174 0.825729656819036 7297.837375638931007 0.812056178137058 7300.270393577940922 0.790488052250619 7302.704222658113395 0.786516087354144 7305.138863149873032 0.794005539388456 7307.574315323729934 0.798283148127602 7310.010579450302430 0.792629341217076 7312.447655800280700 0.792421513683286 7314.885544644450420 0.810404302412171 7317.324246253680030 0.815944415361834 7319.763760898952569 0.814969850732806 7322.204088851317465 0.820094972624454 7324.645230381921465 0.820448130304582 7327.087185761995897 0.826297403865249 7329.529955262883050 0.836564501179212 7331.973539155996150 0.843203445268185 7334.417937712842104 0.869690448370891 7336.863151205016038 0.869800675071950 7339.309179904220400 0.878725434845691 7341.756024082231306 0.878537029992823 7344.203684010917641 0.875023219310220 7346.652159962236510 0.865417427449705 7349.101452208255068 0.881224027658355 7351.551561021108682 0.872934176143341 7354.002486673032763 0.874648194764351 7356.454229436343667 0.865527386875959 7358.906789583473255 0.862860530151808 7361.360167386920693 0.862080733292027 7363.814363119282461 0.874667251255009 7366.269377053240532 0.905460277918572 7368.725209461588747 0.944353067837310 7371.181860617190978 0.971055626597865 7373.639330793006593 0.959832803635918 7376.097620262081364 0.947958675003701 7378.556729297573838 0.957277364569467 7381.016658172709867 0.978000446956002 7383.477407160816256 0.994596232797312 7385.938976535308029 0.979508017909099 7388.401366569686616 0.944601998034151 7390.864577537565310 0.916378921926998 7393.328609712627440 0.898007313323334 7395.793463368653647 0.897778244067965 7398.259138779509158 0.906172376431208 7400.725636219171975 0.894805369868174 7403.192955961691951 0.865811097887951 7405.661098281214436 0.841913869713790 7408.130063451970273 0.844825095279079 7410.599851748303990 0.873386994299093 7413.070463444628331 0.899728531276369 7415.541898815456079 0.916150253466348 7418.014158135384605 0.914726479961492 7420.487241679123144 0.914008750571152 7422.961149721451875 0.914459236478388 7425.435882537249199 0.933807266650833 7427.911440401478103 0.976410810462519 7430.387823589216168 1.012987410908452 7432.865032375608280 1.033721971759308 7435.343067035900276 1.030510577192780 7437.821927845422579 1.006291114709468 7440.301615079618387 0.996082414035048 7442.782129014001839 1.003261100853721 7445.263469924184392 1.005569744850112 7447.745638085863902 1.013621290734338 7450.228633774851914 1.003796530437104 7452.712457267029095 0.975202711848924 7455.197108838375243 0.949306991127052 7457.682588764963839 0.937038070486083 7460.168897322952034 0.947388326224992 7462.656034788609759 0.956407455216970 7465.144001438279702 0.953094583594331 7467.632797548400958 0.954425211330923 7470.122423395500846 0.961180921990396 7472.612879256217639 0.948847382263500 7475.104165407263281 0.939911877320664 7477.596282125445214 0.930883647651653 7480.089229687659099 0.921311066049157 7482.583008370913376 0.911922174285368 7485.077618452287425 0.902358240429225 7487.573060208959760 0.892616188785798 7490.069333918195298 0.882331206376267 7492.566439857371734 0.872223738925053 7495.064378303937701 0.861912891126627 7497.563149535442790 0.851396925877806 7500.062753829520261 0.840327273750984 7502.563191463918884 0.829700233127083 7505.064462716457456 0.825983021784954 7507.566567865054822 0.822011050706289 7510.069507187716226 0.817954854148654 7512.573280962559693 0.813975511048723