SN 1997br Ia in ESO576-040


Geoffrey Chaucer with an astrolabe.

OBJECT:  SN 1997br Ia in ESO576-040 (SBc galaxy) which in Leda is
         ESO576-040 (Leda).
         Leda is ambiguous about whether the Galaxy name is
         ESO576-040 or ESO576-G40.
DISCOVERY:  1997apr10.6 UT by Li et al.
MAXIMUM:  1997apr20.6 (JD 2450559.1 +/- 1.5) in B (li1999, p. 2712, but note the value in the table probably is the right
          one as opposed to the one in the foot note to the other table.
          See the US Navy Observatory Julian Date Converter.
          This day of the year 110.
SUPERNOVA of the YEAR:  M = 70.

HEADER: Header Common header information for this supernovae.
        The common header may (or may not) be updated relative to the header information here
        (D. J. Jeffery (2006jan01)).

COMMENT:  A shallow silicon (SS) SN Ia.


REFERENCES:

       branch2006 Synthetic spectra for
       SNe Ia at maximum light.

       CfA List of Supernovae
       where SN 1997br is noted.

       CfA Supernova Archive
       For SN 1997br, there are 0 spectra and UBVRI photometry.

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

       li1999 Specifically on SN 1997br with 18 spectra.

       SUSPECT Index.

       SUSPECT Index:  SN 1997br Ia.
       There are 11 SN 1997br spectra.  They are all from li1999.  But li1999 had 18 spectra.  Where are the other ones?

CORRECTIONS:  Heliocentric velocity 2086 +/- 3 km/s (2007jul11) from
              ESO576-040 (Leda).
              Galactic foreground 0.49/4=.1225 reddening from
              ESO576-040 (Leda).
              This is derived from
              Schlegel et al. (1998)


OBSERVATIONS: From 1) SUSPECT: 11 of 18 li1999 spectra and no others. 2) David Branch /home/branch/synow/97br: these seem to be li1999 spectra, but he has days 10, 12, and 14 relative to Bmax which are not on SUSPECT. But he seems not to haves days -4 (one of them), 21, 47, and 81. 3) Eddie Baron: none. SPECTRUM LOG: JD times for the SN 1997br spectra of li1999. Bmax from li1999 1997apr20.6 (JD 2450559.1 +/- 1.5). The li1999 spectra from SUSPECT all seem deredshifted. JD Bmax Heliocentric velocity (Leda, 2007jul01) 0559.1 2086. Heliocentric velocity Z redshift 2086.0000000000 0.0069581470 Index JD of some kind Observer phase Rest phase 1 550.2000000000 -8.9000000000 -8.8385004146 ! li1999 1997apr11.7 3712.32--8404.665 2 551.2000000000 -7.9000000000 -7.8454104804 ! li1999 1997apr12.7 3716.21--8403.725 3 552.2000000000 -6.9000000000 -6.8523205462 ! li1999 1997apr13.7 3718.71--8413.47 4 553.2000000000 -5.9000000000 -5.8592306119 ! li1999 5 554.8000000000 -4.3000000000 -4.2702867172 ! li1999 6 555.2000000000 -3.9000000000 -3.8730507435 ! li1999 7 567.1000000000 8.0000000000 7.9447194738 ! li1999 1997apr28.6 3170.83--9406.03 8 569.2000000000 10.1000000000 10.0302083357 ! li1999 9 571.1000000000 12.0000000000 11.9170792107 ! li1999 10 573.2000000000 14.1000000000 14.0025680726 ! li1999 11 577.1000000000 18.0000000000 17.8756188161 ! li1999 1997may08.6 3304.74--9979.45 12 579.8000000000 20.7000000000 20.5569616385 ! li1999 1997may11.3 13 0.0000000000-559.1000000000-555.2365822267 ! Uncertain date because typo in li1999. 14 583.1000000000 24.0000000000 23.8341584215 ! li1999 1997may14.6 15 597.1000000000 38.0000000000 37.7374175007 ! li1999 16 605.8000000000 46.7000000000 46.3772999284 ! li1999 17 610.1000000000 51.0000000000 50.6475866456 ! li1999 18 626.1000000000 67.0000000000 66.5370255933 ! li1999 19 639.7000000000 80.6000000000 80.0430486988 ! li1999 &specnamelist aname='sn1997br Ia 1997_05_08' ebv=.1225 ! epoch=17.8756188161 ! This parameter needs to updated for the particular spectrum. idifmake=0 iformat=-1 ! The FITS header says it's been deredshifted. There's no ! obvious telluric line. ismooth=1 itick=1 itickln=4 smooth_x=.0083333333 smooth_zone=4100. t_rise=19.4d0 ! \citep{conley2006}, Just an average rise time. v_helio=2086. ymin2=.2d-16 ymax2=23.d-16 ymin3=.3 ymax3=2.8 wlammin1=3304.74 wlammax1=9979.45 wlammin2=3304.74 wlammax2=9979.45 wlammin3=4250. ! It needs heavy smoothing blueward of 4100 and the observers didn't trust it ! blueward of 4250 and it looks weird blueward of 4200. wlammax3=9000. ! It looks OK to here, but the observes didn't plot (trust) it redward ! of 7000 which is odd. /
./figure/sn1997br_1997_05_08.gif Postscript plot of the spectrum.
./figure/sn19987br_1997_05_08.dif.gif Postscript plot of the spectrum with local normalization.
FITS: Fits format information from the observers. SIMPLE = T BITPIX = -32 NAXIS = 1 NAXIS1 = 1344 CRVAL1 = 3304.74 CDELT1 = 4.97 CTYPE1 = 'LINEAR ' OBJECT = '1997br ' SNTYPE = 'Iapec ' TYPECITE= 'Asiago Catalogue' MAXDATE = '19970420' MAXBAND = 'B ' MAXCITE = 'Asiago Catalogue' DATE-OBS= '19970508' BUNIT = 'ergs/s/cm^2/A' HOSTGAL = 'E576-G40' HELVEL = 2069. HVELCITE= 'Asiago Catalogue' OBSERVER= ' ' OBSAFFIL= ' ' TELESCOP= 'BAO_2.16m' INSTRUME= 'Tektronix1024x1024CCD' COMMENT = 'spectrum has been deredshifted' END: 3305.467958488386103 1.757338625185906 3306.569964798730780 1.604088929809356 3307.672338505742118 1.450788142686125 3308.775079731904952 1.297436246782952 3309.878188599743680 1.138787784271524 3310.981665231832267 0.950918556208381 3312.085509750776509 0.762986694630783 3313.189722279224497 0.574992178657634 3314.294302939864338 0.386934987401024 3315.399251855433249 0.328701277268366 3316.504569148700284 0.340122520617770 3317.610254942478605 0.351547571682876 3318.716309359618208 0.362976431733094 3319.822732523021841 0.389142016815169 3320.929524555620901 0.494980365802310 3322.036685580393168 0.600854000119714 3323.144215720355533 0.706762931531021 3324.252115098564445 0.812707171803656 3325.360383838126381 0.881426815397118 3326.469022062178738 0.931649339361484 3327.578029893903476 0.981888606957615 3328.687407456520759 1.032144623767518 3329.797154873301224 1.086798001857438 3330.907272267546432 1.160562663231660 3332.017759762603418 1.234351916924853 3333.128617481856054 1.308165771135583 3334.239845548739140 1.382004234065798 3335.351444086720221 1.460626467928840 3336.463413219309587 1.541200725310665 3337.575753070055725 1.621801845254863 3338.688463762558968 1.702429836717621 3339.801545420450566 1.784133458655569 3340.914998167406338 1.869115545056678 3342.028822127139392 1.954125963541388 3343.143017423415586 2.039164723555884 3344.257584180030335 2.124231834548607 3345.372522520824532 2.211239982651151 3346.487832569676812 2.298808720761194 3347.603514450517196 2.386406653316334 3348.719568287307084 2.474033790049418 3349.835994204052440 2.543136648428220 3350.952792324797429 2.574207923733885 3352.069962773637144 2.605289557857782 3353.187505674698514 2.636381554253340 3354.305421152152576 2.667483916375214 3355.423709330209022 2.601607487497462 3356.542370333129384 2.522435824613306 3357.661404285205208 2.443237766775959 3358.780811310773970 2.364013305185610 3359.900591534213618 2.260576929588219 3361.020745079941662 2.126077573942205 3362.141272072426091 1.991533377704207 3363.262172636166270 1.856944325925309 3364.383446895707038 1.722306129998675 3365.505094975630527 1.586236640776661 3366.627117000571616 1.450121787497549 3367.749513095195653 1.313961555037923 3368.872283384213915 1.177755928268795 3369.995427992374516 1.057919543952426 3371.118947044478773 0.950196641101010 3372.242840665358017 0.842437824630075 3373.367108979889963 0.734643082566358 3374.491752112989161 0.635538680131668 3375.616770189623821 0.584831287123379 3376.742163334791712 0.534106988833376 3377.867931673536987 0.483365779625603 3378.994075330941087 0.432607653862327 3380.120594432138205 0.399302609042531 3381.247489102293912 0.372212758692207 3382.374759466618343 0.345113876886613 3383.502405650360743 0.318005960614834 3384.630427778822195 0.287867399843943 3385.758825977333800 0.251536977334048 3386.887600371274857 0.215194442664707 3388.016751086060140 0.178839791798009 3389.146278247157625 0.142473020694331 3390.276181980067577 0.113663564602640 3391.406462410334825 0.085450457612217 3392.537119663545582 0.057227944685234 3393.668153865325166 0.028996022685939 3394.799565141351195 0.014323424729709 3395.931353617332206 0.011686137773619 3397.063519419022668 0.009047971575344 3398.196062672215248 0.006408925841764 3399.328983502755364 0.009267570889735 3400.462282036519355 0.045822794367435 3401.595958399429037 0.082390204950692 3402.730012717445334 0.118969806702449 3403.864445116581464 0.155561603687338 3404.999255722881117 0.231874727862320 3406.134444662435271 0.320951867347594 3407.270012061372199 0.410058704161704 3408.405958045872922 0.499195248205948 3409.542282742149837 0.599096839777678 3410.678986276462183 0.716521778197016 3411.816068775106487 0.833985864786479 3412.953530364431572 0.951489112598286 3414.091371170819457 1.069080234849761 3415.229591320696727 1.191536584636844 3416.368190940528166 1.314033760010651 3417.507170156832672 1.436571774582824 3418.646529096159156 1.559150641968230 3419.786267885103825 1.666515975174306 3420.926386650300628 1.765554985090411 3422.066885518435811 1.864627013512862 3423.207764616228815 1.963732071449430 3424.349024070443647 2.048253413526531 3425.490664007883424 2.096707687944529 3426.632684555403557 2.145178116479666 3427.775085839892654 2.193664704517437 3428.917867988283433 2.242167457445207 3430.061031127552269 2.279937436671208 3431.204575384713280 2.316995844681097 3432.348500886834245 2.354066607552803 3433.492807761014319 2.391149729405178 3434.637496134398589 2.444931034156853 3435.782566134171702 2.510240422404519 3436.928017887570149 2.575571584077162 3438.073851521862707 2.640924526433590 3439.220067164364991 2.711311332605571 3440.366664942430361 2.796519942220697 3441.513644983465383 2.881756959440281 3442.661007414908454 2.967022393734817 3443.808752364245265 3.052316254578316 3444.956879958999252 3.146025971368999 3446.105390326746601 3.240491314373138 3447.254283595096240 3.334988151073588 3448.403559891703480 3.429516491970039 3449.553219344262288 3.510551414612660 3450.703262080518471 3.582376679332481 3451.853688228251940 3.654225889797956 3453.004497915288084 3.726099053992347 3454.155691269490035 3.782498309337376 3455.307268418776403 3.797886344555762 3456.459229491095812 3.813279509974202 3457.611574614444180 3.828677807303051 3458.764303916856989 3.844081238253193 3459.917417526421559 3.828811238354578 3461.070915571257956 3.812269816118190 3462.224798179533082 3.795722879155317 3463.379065479456131 3.779170425627413 3464.533717599275406 3.758639578066072 3465.688754667292415 3.735987839280313 3466.844176811841407 3.713328548656387 3467.999984161302564 3.690661703676596 3469.156176844095171 3.668795713623316 3470.312754988692632 3.648415684241420 3471.469718723599726 3.628028860384049 3472.627068177367619 3.607635239786005 3473.784803478587946 3.587764585040510 3474.942924755904642 3.576824941655234 3476.101432137993925 3.565881651114342 3477.260325753579764 3.554934712201903 3478.419605731423871 3.543984123701632 3479.579272200342530 3.527247984694393 3480.739325289183398 3.508747621437927 3481.899765126842340 3.490241090365787 3483.060591842252506 3.471728389421766 3484.221805564402530 3.441359464067841 3485.383406422312419 3.398333002483489 3486.545394545048566 3.355292196354661 3487.707770061717383 3.312237040899170 3488.870533101479396 3.265016949742883 3490.033683793526507 3.201862031520238 3491.197222267097004 3.138686058149223 3492.361148651470103 3.075489022610439 3493.525463075978223 3.012270917881600 3494.690165669986072 2.934926837080843 3495.855256562904287 2.856592267383621 3497.020735884184887 2.778231581810967 3498.186603763331732 2.699844771655726 3499.352860329882787 2.616818836285045 3500.519505713421950 2.531505311643575 3501.686540043576315 2.446163344420401 3502.853963450012998 2.360792925133330 3504.021776062453227 2.275904017116546 3505.189978010649611 2.191713238181502 3506.358569424402504 2.107494390975709 3507.527550433552278 2.023247466141743 3508.696921167992514 1.940678026534951 3509.866681757649985 1.867048461559757 3511.036832332497852 1.793394349305257 3512.207373022549291 1.719715681587885 3513.378303957871594 1.646012450220667 3514.549625268564341 1.590715297098783 3515.721337084775314 1.537152611243482 3516.893439536689584 1.483572068183731 3518.065932754549522 1.429973661965735 3519.238816868627509 1.391336768149121 3520.412092009244589 1.359982739600419 3521.585758306760454 1.328618257966888 3522.759815891590279 1.297243319763378 3523.934264894180615 1.276151791642324 3525.109105445026671 1.268272324212637 3526.284337674662311 1.260390229856033 3527.459961713675511 1.252505507696680 3528.635977692688357 1.244975834355135 3529.812385742369315 1.238796475285258 3530.989185993425963 1.232615056085711 3532.166378576622265 1.226431576069625 3533.343963622752653 1.220246034549971 3534.521941262660675 1.193613549689398 3535.700311627228530 1.166689924484441 3536.879074847393895 1.139757323241742 3538.058231054127191 1.112815742968863 3539.237780378445223 1.079372193839051 3540.417722951408905 1.043972993308443 3541.598058904119625 1.008561991077592 3542.778788367732886 0.973139183211730 3543.959911473437842 0.940883466483705 3545.141428352470029 0.911128594172625 3546.323339136104551 0.881363801917656 3547.505643955673804 0.851589086411371 3548.688342942540203 0.827774847311721 3549.871436228114817 0.814864852462324 3551.054923943849190 0.801950553564046 3552.238806221248979 0.789031949181890 3553.423083191853038 0.780368507652480 3554.607754987247972 0.795002931700834 3555.792821739060400 0.809642234703609 3556.978283578971059 0.824286418287477 3558.164140638694789 0.838935484079531 3559.350393049993272 0.859851428165520 3560.537040944668661 0.881026246970435 3561.724084454578588 0.902208125224868 3562.911523711612062 0.923397065282277 3564.099358847707663 0.932271375202772 3565.287589994843074 0.937549194345680 3566.476217285051462 0.942828773054898 3567.665240850398732 0.948110111917027 3568.854660822998994 0.944079444781828 3570.044477335005467 0.933638054028687 3571.234690518628668 0.923193182231780 3572.425300506109124 0.912744828230615 3573.616307429738299 0.896373246466640 3574.807711421849490 0.871707363367164 3575.999512614817831 0.847033256936245 3577.191711141072119 0.822350924432183 3578.384307133076163 0.807299021104555 3579.577300723340159 0.821671171165831 3580.770692044415682 0.836048112742295 3581.964481228908426 0.850429847431465 3583.158668409458187 0.862924479556552 3584.353253718752967 0.854410473118332 3585.548237289520330 0.845893628204940 3586.743619254543773 0.837373943870005 3587.939399746639538 0.828851419166925 3589.135578898672065 0.826199595821755 3590.332156843546727 0.824028375386477 3591.529133714224372 0.821856431090410 3592.726509643698137 0.819683762692235 3593.924284765009816 0.816809014630901 3595.122459211242131 0.813725712112010 3596.321033115532828 0.810641381654289 3597.520006611053304 0.807556022915044 3598.719379831022707 0.799172402343290 3599.919152908700653 0.787604002769717 3601.119325977403150 0.776031746420155 3602.319899170478948 0.764455632008834 3603.520872621324997 0.748867139180744 3604.722246463379179 0.728992795339799 3605.924020830134850 0.709111825613259 3607.126195855118567 0.689224227792192 3608.328771671905997 0.666732038808854 3609.531748414111917 0.639368193685902 3610.735126215408854 0.611995225760765 3611.938905209501172 0.584613131992100 3613.143085530141889 0.557949295653362 3614.347667311129953 0.533879402852556 3615.552650686302513 0.509801485416875 3616.758035789554924 0.485715540670827 3617.963822754815283 0.463000891127327 3619.170011716059889 0.453515704591852 3620.376602807305062 0.444027355800555 3621.583596162625327 0.434535843699103 3622.790991916126586 0.425041167232920 3623.998790201963857 0.423378191981429 3625.206991154333082 0.421907529744575 3626.415594907487048 0.420436377205258 3627.624601595710374 0.418964734200021 3628.834011353338155 0.417328278568267 3630.043824314744597 0.415665235826389 3631.254040614361202 0.414001638644524 3632.464660386653122 0.412337486837832 3633.675683766132806 0.408071104320244 3634.887110887355448 0.402963889423644 3636.098941884930809 0.397854971838298 3637.311176893503671 0.392744350996563 3638.523816047766559 0.383756709283858 3639.736859482453838 0.372720744137162 3640.950307332354896 0.361681099722209 3642.164159732293683 0.350637774812404 3643.378416817143261 0.343694499874405 3644.593078721816710 0.339991279326275 3645.808145581283952 0.336286824165529 3647.023617530549473 0.332581133980567 3648.239494704664594 0.338988898399508 3649.455777238723840 0.356882905892369 3650.672465267876760 0.374782879048668 3651.889558927307462 0.392688819857241 3653.107058352248714 0.416060069120942 3654.324963677977394 0.448213769455335 3655.543275039813579 0.480378189476266 3656.761992573132375 0.512553332757750 3657.981116413342988 0.546243796178431 3659.200646695903288 0.583384659560604 3660.420583556313431 0.620537905294074 3661.640927130129512 0.657703537507208 3662.861677552940819 0.694650508533109 3664.082834960387117 0.730839246658666 3665.304399488148192 0.767040049707521 3666.526371271961125 0.803252921702215 3667.748750447597104 0.838448198090269 3668.971537150875520 0.868350315857184 3670.194731517658511 0.898262402658020 3671.418333683863239 0.928184461816505 3672.642343785441881 0.956824995180809 3673.866761958396637 0.973841645698615 3675.091588338768815 0.990863969378674 3676.316823062658386 1.007891968112469 3677.542466266198971 1.024102396012622 3678.768518085572850 1.021903780864190 3679.994978657004140 1.019704432721890 3681.221848116774254 1.017504351341336 3682.449126601197804 1.015303536478081 3683.676814246639424 1.006781846451476 3684.904911189504674 0.998200820052435 3686.133417566256412 0.989616932834458 3687.362333513391604 0.981030183843806 3688.591659167456783 0.980813895854321 3689.821394665043499 0.981085443320183 3691.051540142784688 0.981357081316954 3692.282095737371947 0.981628809874817 3693.513061585528703 0.986415475493862 3694.744437824029774 0.991682144526510 3695.976224589689991 0.996950569408110 3697.208422019383306 1.002220750724077 3698.441030250016411 1.006838598964557 3699.674049418545110 1.011359276375084 3700.907479661968409 1.015881460929245 3702.141321117341249 1.020405153129530 3703.375573921754039 1.019586814969477 3704.610238212344939 1.017742683565544 3705.845314126296216 1.015897937348685 3707.080801800845165 1.014052576113918 3708.316701373265005 1.002751723321238 3709.553012980877611 0.989293770140168 3710.789736761047152 0.975831330226999 3712.026872851195094 0.962364402085821 3713.264421388777009 0.947874858217387 3714.502382511298947 0.933118602702052 3715.740756356307429 0.918357427615045 3716.979543061407639 0.903591331316141 3718.218742764238868 0.897633488004557 3719.458355602489519 0.894134971474324 3720.698381713891195 0.890635288577540 3721.938821236231433 0.887134438925332 3723.179674307333698 0.891805670979584 3724.420941065070110 0.898873971187241 3725.662621647355536 0.905944627887672 3726.904716192162141 0.913017641866550 3728.147224837496651 0.926547413580775 3729.390147721415815 0.942005956107016 3730.633484982021400 0.957469652339664 3731.877236757458832 0.972938503996866 3733.121403185930376 0.991078587413218 3734.365984405672407 1.010009112889495 3735.610980554972684 1.028945949592753 3736.856391772159441 1.047889099627014 3738.102218195619571 1.065505931975600 3739.348459963774076 1.082753473909933 3740.595117215095343 1.100006765983223 3741.842190088095776 1.117265810112433 3743.089678721347354 1.136435342440830 3744.337583253456160 1.156107611680436 3745.585903823078297 1.175786439436151 3746.834640568911254 1.195471827894436 3748.083793629712545 1.220474009502243 3749.333363144272425 1.246717745441674 3750.583349251432082 1.272970230751231 3751.833752090074995 1.299231468347778 3753.084571799142395 1.327830511304261 3754.335808517610531 1.356899106906121 3755.587462384505670 1.385977393654949 3756.839533538896831 1.415065374781581 3758.092022119910325 1.441925264940442 3759.344928266707939 1.468441441426563 3760.598252118501932 1.494966458111475 3761.851993814545494 1.521500317942295 3763.106153494152295 1.539937362439499 3764.360731296668291 1.557458902445588 3765.615727361492191 1.574986283938548 3766.871141828063173 1.592519508865797 3768.126974835879992 1.595684871231161 3769.383226524475504 1.597887918913665 3770.639897033433954 1.600091701067804 3771.896986502384152 1.602296217938438 3773.154495070999928 1.593170810714526 3774.412422879011956 1.583831064242710 3775.670770066185469 1.574488204003141 3776.929536772337542 1.564944980237872 3778.188723137327088 1.549313816132382 3779.448329301071681 1.533677440770311 3780.708355403523001 1.518035852414341 3781.968801584684570 1.502279147898973 3783.229667984601747 1.485353516217556 3784.490954743379007 1.468422241718437 3785.752662001154931 1.451485322520424 3787.014789898119034 1.435064073636457 3788.277338574504938 1.421677677233124 3789.540308170602202 1.408286817953851 3790.803698826738128 1.394891494310794 3792.067510683288674 1.382725223932566 3793.331743880673912 1.375150475653274 3794.596398559371664 1.367573202037001 3795.861474859895679 1.359993402241848 3797.126972922809273 1.354559106933708 3798.392892888720326 1.354591737502113 3799.659234898293562 1.354624378949187 3800.925999092230086 1.354657031278557 3802.193185611281933 1.354368263002740 3803.460794596243431 1.353501858593092 3804.728826187967115 1.352635165333834 3805.997280527342355 1.351768183128668 3807.266157755308086 1.346152342180285 3808.535458012850995 1.334447279868098 3809.805181441000514 1.322738315218155 3811.075328180844281 1.311025446929392 3812.345898373506316 1.297154646852369 3813.616892160161115 1.281322597164655 3814.888309682026375 1.265485269247436 3816.160151080378000 1.249642661340917 3817.432416496528276 1.236547153355746 3818.705106071839509 1.225171042566360 3819.978219947718571 1.213791139107997 3821.251758265629633 1.202407441716163 3822.525721167073243 1.196629322309840 3823.800108793601339 1.193130656325903 3825.074921286807694 1.189630823925593 3826.350158788347017 1.186129824720013 3827.625821439907668 1.191076298793316 3828.901909383230304 1.197981330412376 3830.178422760098329 1.204888664092276 3831.455361712354261 1.211798300600540 3832.732726381877001 1.222225874926094 3834.010516910595015 1.232970718057353 3835.288733440482247 1.243719143399963 3836.567376113569480 1.254357475657753 3837.846445071924791 1.261222882028484 3839.125940457666729 1.268090577249458 3840.405862412957504 1.274960562083732 3841.686211080018893 1.281190811543480 3842.966986601107692 1.283649470602988 3844.248189118532537 1.286108949352123 3845.529818774644809 1.288569248064153 3846.811875711855919 1.290632003139677 3848.094360072612744 1.291599553207014 3849.377271999413551 1.292567425844800 3850.660611634803900 1.293535621160574 3851.944379121373458 1.293808899872620 3853.228574601771015 1.293007597648103 3854.513198218680827 1.292206028278322 3855.798250114838538 1.291404191674215 3857.083730433024357 1.289742737488188 3858.369639316077155 1.287300175833274 3859.655976906871274 1.284856799855429 3860.942743348333806 1.282412609283166 3862.229938783434136 1.279351121300148 3863.517563355202583 1.275971353376274 3864.805617206704028 1.272590458675308 3866.094100481055648 1.269208436821593 3867.383013321418730 1.265652333146693 3868.672355871013679 1.262052185140782 3869.962128273095914 1.258450836885507 3871.252330670974516 1.254848287980716 3872.542963208001311 1.247382531627204 3873.834026027587242 1.239700521453955 3875.125519273180089 1.232015950183822 3876.417443088279015 1.223401152659264 3877.709797616427295 1.206304346529151 3879.002583001227322 1.189201840513686 3880.295799386318777 1.172093632712632 3881.589446915391818 1.154254022525216 3882.883525732181170 1.134283835992220 3884.178035980481582 1.114306991620737 3885.472977804122820 1.094323487191189 3886.768351346988311 1.075625957167496 3888.064156753007865 1.058740487365291 3889.360394166155857 1.041849388135020 3890.657063730466689 1.024952657599788 3891.954165590010689 1.011279285981792 3893.251699888910480 0.999926735576944 3894.549666771332795 0.988570400357892 3895.848066381503486 0.977210279062758 3897.146898863686147 0.971750430685090 3898.446164362194395 0.968235073213386 3899.745863021387777 0.964718543760549 3901.045994985684956 0.961200841935833 3902.346560399540977 0.960844891131613 3903.647559407463632 0.960735332169696 3904.948992154003918 0.960625736682039 3906.250858783773310 0.960122321628319 3907.553159441420121 0.956371957862860 3908.855894271644502 0.952620343767769 3910.159063419190261 0.948867478926212 3911.462667028862143 0.943903029554598 3912.766705245500816 0.936023133734630 3914.071178214000156 0.928140610844898 3915.376086079296783 0.920255460009596 3916.681428986388710 0.910469833535227 3917.987207080310327 0.898654728207728 3919.293420506147868 0.886835683855320 3920.600069409032130 0.875012699164810 3921.907153934154394 0.862359386170929 3923.214674226741863 0.849310557639590 3924.522630432075402 0.836257378773720 3925.831022695479078 0.823199848123011 3927.139851162337436 0.811688667109018 3928.449115978072314 0.800388118545741 3929.758817288157388 0.789083802505065 3931.068955238115450 0.778185263888504 3932.379529973512490 0.771799660090997 3933.690541639976800 0.765411927404074 3935.001990383171687 0.759022065118011 3936.313876348814574 0.754982983666971 3937.626199682665629 0.756632544448441 3938.938960530546865 0.758282655175163 3940.252159038316677 0.759933316030476 3941.565795351886209 0.763353771312405 3942.879869617210261 0.768497474085170 3944.194381980306389 0.773642891711339 3945.509332587226254 0.778790024762602 3946.824721584076542 0.784807769372158 3948.140549117006685 0.791155874378845 3949.456815332227961 0.797506095773264 3950.773520375988937 0.803858434260979 3952.090664394589112 0.807601150590640 3953.408247534374368 0.811206240213642 3954.726269941750616 0.814812531733500 3956.044731763161053 0.817504833187023 3957.363633145101630 0.815971283688852 3958.682974234111953 0.814437222922314 3960.002755176794835 0.812902650716947 3961.322976119787654 0.810868852554098 3962.643637209781900 0.808120252168646 3963.964738593513630 0.805370735430357 3965.286280417779835 0.802620302033712 3966.608262829414798 0.802378951836862 3967.930685975305096 0.803494126904773 3969.253550002383236 0.804609673759665 3970.576855057641296 0.805725592525494 3971.900601288109556 0.810360209573601 3973.224788840871042 0.815423102196299 3974.549417863057442 0.820487682731174 3975.874488501846372 0.826117665894474 3977.200000904475019 0.835235795603533 3978.525955218219224 0.844356965195783 3979.852351590406670 0.853481175684682 3981.179190168411424 0.862558504944865 3982.506471099667124 0.871561174526555 3983.834194531646517 0.880566845498312 3985.162360611873282 0.889575518860761 3986.490969487918392 0.897132375285008 3987.820021307412389 0.903901295538642 3989.149516218024473 0.910672472475122 3990.479454367475228 0.917445906846796 3991.809835903532530 0.919850936369289 3993.140660974023831 0.921821138382670 3994.471929726815233 0.923791997239524 3995.803642309824681 0.924916912652711 3997.135798871016959 0.922062030258220 3998.468399558417332 0.919206196077633 3999.801444520088353 0.916349409793644 4001.134933904146237 0.914283364008507 4002.468867858752674 0.913199770706196 4003.803246532129833 0.912115816145910 4005.138070072538994 0.911031500207209 4006.473338628293277 0.911917854112632 4007.809052347751731 0.913565741493982 4009.145211379335251 0.915214178262691 4010.481815871502022 0.916864041611974 4011.818865972763888 0.919159331763014 4013.156361831681352 0.921455387138301 4014.494303596861300 0.923752207992945 4015.832691416972011 0.926899992644127 4017.171525440719506 0.932172736708872 4018.510805816862558 0.937447238647933 4019.850532694206322 0.942723499047352 4021.190706221617802 0.948230804425362 4022.531326548000379 0.953909419497122 4023.872393822312461 0.959589927756087 4025.213908193557472 0.965272329833407 4026.555869810800232 0.968493588220106 4027.898278823143755 0.971343781703548 4029.241135379744719 0.974194925409848 4030.584439629805274 0.976519496227422 4031.928191722589418 0.976214183282926 4033.272391807399345 0.975908768550484 4034.617040033590001 0.975603251996162 4035.962136550562718 0.974033332143699 4037.307681507781581 0.971036461603211 4038.653675054746600 0.968038591939365 4040.000117341013265 0.965039722819064 4041.347008516181631 0.960440392267356 4042.694348729914964 0.955381260138216 4044.042138131913362 0.950320441350605 4045.390376871931494 0.945310311640344 4046.739065099769050 0.940832935694807 4048.088202965288929 0.936354067041836 4049.437790618390864 0.931873705183795 4050.787828209029612 0.927898135017001 4052.138315887204499 0.924662862983143 4053.489253802978510 0.921426512345506 4054.840642106451469 0.918189082744506 4056.192480947778222 0.916650884309770 4057.544770477161819 0.915751607824496 4058.897510844853969 0.914852031530430 4060.250702201166405 0.914056046216420 4061.604344696449971 0.915144932857775 4062.958438481109170 0.916234182521845 4064.312983705594888 0.917323795329653 4065.667980520420770 0.918904117408812 4067.023429076137290 0.921277591580260 4068.379329523350407 0.923651857041639 4069.735682012711095 0.926026914056750 4071.092486694933541 0.928110890593538 4072.449743720770130 0.930080178146254 4073.807453241026906 0.932050122237572 4075.165615406555844 0.933827080561773 4076.524230368273038 0.932319078760956 4077.883298277130962 0.930810574209086 4079.242819284137113 0.929301566738549 4080.602793540345829 0.927886494868950 4081.963221196873292 0.926613176951495 4083.324102404873884 0.925339434523987 4084.685437315556555 0.924065267444898 4086.047226080177097 0.923689291055045 4087.409468850052690 0.923617676783248 4088.772165776540987 0.923546038636048 4090.135317011051484 0.923675011059008 4091.498922705041423 0.925625142505891 4092.862983010031712 0.927575924104950 4094.227498077579185 0.929527356072929 4095.592468059297971 0.932607650685066 4096.957893106846313 0.937035192154856 4098.323773371947027 0.941464209717819 4099.690109006359307 0.945894703866051 4101.056900161899648 0.952288904308444 4102.424146990432746 0.959124404572005 4103.791849643871501 0.965962183715427 4105.160008274190659 0.969504821037980 4106.528623033404074 0.958296158937537 4107.897694073580169 0.947083759993618 4109.267221546832843 0.935867622960443 4110.637205605340569 0.935175257210144 4112.007646401320017 0.943005025403047 4113.378544087042428 0.950837403953717 4114.749898814825428 0.958672393732394 4116.121710737049398 0.970950198604851 4117.493980006134734 0.983581718534762 4118.866706774555496 0.996217449673146 4120.239891194832126 1.009268606968835 4121.613533419550549 1.023258018687120 4122.987633601332163 1.037252094319916 4124.362191892854753 1.051250835422121 4125.737208446842487 1.065314422262199 4127.112683416085019 1.079409886612936 4128.488616953407472 1.093510050234957 4129.865009211691358 1.107538602689654 4131.241860343865483 1.120647588089681 4132.619170502922316 1.133760943879914 4133.996939841889798 1.146878671517331 4135.375168513855897 1.159729600558374 4136.753856671951326 1.172276597443594 4138.133004469372281 1.184827777358277 4139.512612059354069 1.197383141696968 4140.892679595185655 1.189565303294015 4142.273207230208754 1.178542196260495 4143.654195117809650 1.167515414245542 4145.035643411441015 1.154900020381161 4146.417552264592814 1.137875795673742 4147.799921830809581 1.120845895278867 4149.182752263684961 1.103810317304360 4150.566043716874447 1.104367194305239 4151.949796344072638 1.113616492195064 4153.334010299031434 1.122868873698101 4154.718685735546387 1.132705566347465 4156.103822807478537 1.149371515050877 4157.489421668729847 1.166043019996527 4158.875482473254124 1.182720083036785 4160.262005375053377 1.186093999552930 4161.648990528196009 1.175716447092848 4163.036438086785893 1.165335434872021 4164.424348204985108 1.154950961736994 4165.812721037000301 1.137270542324174 4167.201556737103601 1.118858320521245 4168.590855459607155 1.100439960288023 4169.980617358876771 1.084478315131711 4171.370842589325548 1.073481008622342 4172.761531305432072 1.062480035733072 4174.152683661713127 1.051475395241606 4175.544299812741883 1.042179258751071 4176.936379913136079 1.033428004173378 4178.328924117581664 1.024673832024561 4179.721932580800967 1.017124564039557 4181.115405457572706 1.014790131655712 4182.509342902722892 1.012454920998041 4183.903745071141202 1.010118931807064 4185.298612117758239 1.009051355502891 4186.693944197559176 1.008752628591035 4188.089741465580119 1.008453802086944 4189.486004076905374 1.007364644886433 4190.882732186684734 0.994232065274156 4192.279925950104371 0.981095107405681 4193.677585522409572 0.967953769821333 4195.075711058891102 0.952894816251547 4196.474302714904297 0.935953029565218 4197.873360645844514 0.919005594675342 4199.272885007162586 0.902052509698874 4200.672875954356641 0.879085105629968 4202.073333642990292 0.855807386088460 4203.474258228665349 0.832521906013754 4204.875649867039101 0.808585951004320 4206.277508713819770 0.783692099433659 4207.679834924775605 0.758789948529272 4209.082628655718509 0.733879495524290 4210.485890062512226 0.719121119755527 4211.889619301072344 0.706021355819690 4213.293816527376293 0.692917224567991 4214.698481897441525 0.681064866576027 4216.103615567342786 0.671887601022593 4217.509217693202118 0.662707275870760 4218.915288431204317 0.653523890100447 4220.321827937576927 0.654147339129491 4221.728836368601151 0.657484836704444 4223.136313880607304 0.660823446964016 4224.544260629990276 0.665159036025926 4225.952676773184066 0.672459086057145 4227.361562466679970 0.679761569843980 4228.770917867020216 0.687066488197814 4230.180743130796145 0.696923671026147 4231.591038414662762 0.707756396191270 4233.001803875316000 0.718592732866668 4234.413039669508180 0.729634486094482 4235.824745954037098 0.741484578794991 4237.236922885768763 0.753338622184848 4238.649570621608291 0.765196617581142 4240.062689318514458 0.771202270284979 4241.476279133497883 0.774468929588754 4242.890340223631938 0.777736677960475 4244.304872746030014 0.780420297772925 4245.719876857863710 0.780164546564774 4247.135352716350098 0.779908710092010 4248.551300478772646 0.779652788326207 4249.967720302455746 0.771412219571706 4251.384612344778361 0.758961436711354 4252.801976763169478 0.746506502898297 4254.219813715121745 0.734436565662759 4255.638123358169651 0.724603914823094 4257.056905849901341 0.714767985886837 4258.476161347956804 0.704928777761125 4259.895890010038784 0.697980173885419 4261.316091993890041 0.692621733921249 4262.736767457312453 0.687261507512696 4264.157916558152465 0.682129839496952 4265.579539454325641 0.678341018030168 4267.001636303785745 0.674550933412380 4268.424207264542929 0.670759585222470 4269.847252494656459 0.665788800793575 4271.270772152251084 0.660186192095742 4272.694766395491570 0.654581715550386 4274.119235382599982 0.648752560013099 4275.544179271849316 0.641759339420012 4276.969598221563501 0.634763787364857 4278.395492390130130 0.627765903070313 4279.821861935978632 0.624336988287728 4281.248707017593915 0.622632178216600 4282.676027793509093 0.620926799780732 4284.103824422326397 0.619524893307177 4285.532097062683533 0.619404257852566 4286.960845873278231 0.619283582179434 4288.390071012855515 0.619162866274373 4289.819772640227711 0.617686182284974 4291.249950914245346 0.615663767358144 4292.680605993817153 0.613640678180637 4294.111738037900977 0.611469756451200 4295.543347205521059 0.608828843406763 4296.975433655738925 0.606187049911245 4298.407997547676132 0.603544375671113 4299.841039040501528 0.600817448307872 4301.274558293451264 0.598064463785571 4302.708555465801510 0.595310561448800 4304.143030716883914 0.592369269161554 4305.577984206081055 0.588995610133348 4307.013416092840998 0.585620826364675 4308.449326536651824 0.582244917480570 4309.885715697058913 0.589025860390828 4311.322583733655847 0.597753101873878 4312.759930806104421 0.606483252922350 4314.197757074106448 0.616751685782983 4315.636062697418311 0.629519251061202 4317.074847835848232 0.642291072903862 4318.514112649269919 0.655067152730132 4319.953857297598006 0.671846399433448 4321.394081940803517 0.688948796524881 4322.834786738911134 0.706056895365580 4324.275971851995564 0.723836505325034 4325.717637440196995 0.742355300689831 4327.159783663694725 0.760880270015336 4328.602410682729897 0.779022828803549 4330.045518657587309 0.784337720463096 4331.489107748622700 0.789654384048519 4332.933178116230920 0.794972820150543 4334.377729920862294 0.797376186578945 4335.822763323019899 0.797726143439850 4337.268278483270478 0.798076216972488 4338.714275562223520 0.797916394937486 4340.160754720545810 0.794823835542043 4341.607716118950520 0.791730245121653 4343.055159918222671 0.788635623332559 4344.503086279182753 0.785283609674438 4345.951495362713104 0.781827501687803 4347.400387329743353 0.778370241473154 4348.849762341269525 0.776165090278374 4350.299620558328570 0.777139928235879 4351.749962142017466 0.778115091193535 4353.200787253479575 0.779090579259688 4354.652096053927380 0.781512729913315 4356.103888704612473 0.784179383484975 4357.556165366844652 0.786846926089321 4359.008926201984650 0.787846345821121 4360.462171371458680 0.786659119645040 4361.915901036734795 0.785471497660936 4363.370115359336523 0.784263471470409 4364.824814500844695 0.781628103058557 4366.279998622888343 0.778991856044149 4367.735667887162890 0.776354730134254 4369.191822455404690 0.779685664941835 4370.648462489409212 0.787019678827231 4372.105588151020129 0.794356137791387 4373.563199602150235 0.802374585645232 4375.021297004752341 0.813342735601950 4376.479880520835650 0.824314542218058 4377.938950312460292 0.835290006712609 4379.398506541756433 0.855554701054759 4380.858549370890614 0.878445480650877 4382.319078962090316 0.901343891778712 4383.780095477632130 0.925921641933479 4385.241599079860862 0.953276739670953 4386.703589931160423 0.980640957294232 4388.166068193973842 1.008014297843776 4389.629034030795083 1.030139635583474 4391.092487604185408 1.052147479759126 4392.556429076744280 1.074162661105612 4394.020858611133917 1.094847354265580 4395.485776370063832 1.114573887830066 4396.951182516310837 1.134306998001835 4398.417077212693584 1.152107700581492 4399.883460622088933 1.161592219142995 4401.350332907425582 1.171079899737641 4402.817694231695896 1.180570743419658 4404.285544757937714 1.186699292981805 4405.753884649244355 1.191992766751651 4407.222714068760069 1.197288005306850 4408.692033179698228 1.207100418198678 4410.161842145310402 1.223243025968629 4411.632141128910007 1.239391015504752 4413.102930293863210 1.255704706070823 4414.574209803586200 1.276319736929008 4416.045979821564288 1.296941640609624 4417.518240511321892 1.317570419403914 4418.990992036444368 1.339061670111208 4420.464234560566183 1.361002361055544 4421.937968247389108 1.382950366782648 4423.412193260658569 1.405034573994906 4424.886909764175471 1.427447407946747 4426.362117921793470 1.449867714088466 4427.837817897434434 1.472295494911357 4429.314009855059339 1.491229815484739 4430.790693958689189 1.509854428322428 4432.267870372396828 1.528485250399163 4433.745539260321493 1.546168079827726 4435.223700786643349 1.563081835879064 4436.702355115603496 1.580001230788847 4438.181502411492147 1.594380540088952 4439.661142838667729 1.597930304135596 4441.141276561530503 1.601481251634153 4442.621903744539850 1.605033382979174 4444.103024552205170 1.603147717996331 4445.584639149104987 1.600166684932545 4447.066747699857842 1.597184658025440 4448.549350369142303 1.600921772997188 4450.032447321687869 1.611988096614349 4451.516038722293160 1.623058109620953 4453.000124735795907 1.634912374331672 4454.484705527094775 1.652084747338688 4455.969781261138451 1.669262845424112 4457.455352102944744 1.686446670496728 4458.941418217572391 1.704691817137000 4460.427979770141064 1.723238211664720 4461.915036925822278 1.741790789354407 4463.402589849841206 1.760562227429314 4464.890638707490325 1.779612123925719 4466.379183664103948 1.798668371446067 4467.868224885075506 1.817045016497800 4469.357762535850270 1.829220685186925 4470.847796781940815 1.841400413108816 4472.338327788902461 1.853584201616743 4473.829355722349646 1.863661577391862 4475.320880747947740 1.873090679021111 4476.812903031430324 1.882522924208161 4478.305422738573725 1.888209510723721 4479.798440035212479 1.888976166795903 4481.291955087233873 1.889743078462703 4482.785968060593405 1.890118262932609 4484.280479121286589 1.887129643027248 4485.775488435370789 1.884140026749200 4487.270996168954298 1.881149413766292 4488.767002488212711 1.872068041072116 4490.263507559365280 1.861266229489723 4491.760511548690374 1.850460816703299 4493.258014622516384 1.838012906377980 4494.756016947241733 1.823631949582635 4496.254518689307588 1.809246198335987 4497.753520015212416 1.795488367348897 4499.253021091509254 1.785536440908659 4500.753022084817530 1.775581196606632 4502.253523161799421 1.765622633336708 4503.754524489178038 1.757613911401528 4505.256026233730154 1.750005169355152 4506.758028562285290 1.742393890638696 4508.260531641741181 1.736855271633352 4509.763535639039219 1.733234949436265 4511.267040721179001 1.729613420263961 4512.771047055211966 1.726415594744369 4514.275554808260495 1.724782891041128 4515.780564147485165 1.723149643012605 4517.286075240111131 1.721515850477326 4518.792088253411748 1.713755463822234 4520.298603354732222 1.705394348225155 4521.805620711456868 1.697030445124989 4523.313140491032755 1.686718820421121 4524.821162860958793 1.675172138700848 4526.329687988800288 1.663621607445085 4527.838716042167107 1.650262019786462 4529.348247188730056 1.633011446487476 4530.858281596208144 1.615755122038986 4532.368819432394957 1.598424976410320 4533.879860865120463 1.578507601325266 4535.391406062281021 1.558583586008522 4536.903455191819376 1.538652928246397 4538.416008421751030 1.518750583262658 4539.929065920132416 1.498854028423325 4541.442627855081810 1.478950840293553 4542.956694394767510 1.459049912700842 4544.471265707428756 1.439153072434566 4545.986341961345715 1.419249598782708 4547.501923324861309 1.398701466978240 4549.018009966368481 1.375091664046104 4550.534602054330207 1.351473989867787 4552.051699757253118 1.327848441819161 4553.569303243702961 1.302705277190390 4555.087412682301874 1.277377851842437 4556.606028241723834 1.252041982612220 4558.125150090714669 1.229305992275067 4559.644778398060225 1.208146936850041 4561.164913332607284 1.186980827230917 4562.685555063256288 1.166583938300975 4564.206703758976801 1.147608590353912 4565.728359588779313 1.128626916236576 4567.250522721738889 1.109754882154562 4568.773193326977889 1.092113429094093 4570.296371573692340 1.074466094569024 4571.820057631119198 1.056812876618601 4573.344251668557263 1.039798805961152 4574.868953855356267 1.022917934413222 4576.394164360937793 1.006031434970123 4577.919883354765261 0.993821109383457 4579.446111006361207 0.985233194404474 4580.972847485303646 0.976642416310028 4582.500092961237897 0.969367505387854 4584.027847603853843 0.965056741538496 4585.556111582902304 0.960744540528340 4587.084885068185031 0.956325796938073 4588.614168229575625 0.950117157276519 4590.143961236989526 0.943906447723448 4591.674264260404016 0.937693667588782 4593.205077469848220 0.930708502272459 4594.736401035421295 0.923536497241186 4596.268235127266053 0.916362101143080 4597.800579915586241 0.905496232372492 4599.333435570641996 0.891746100839215 4600.866802262746205 0.877991385164822 4602.400680162281787 0.863146405643735 4603.935069439676226 0.845987529731292 4605.469970265416123 0.828822933240172 4607.005382810041738 0.811978116872662 4608.541307244163363 0.798789441555165 4610.077743738435856 0.785596369279769 4611.614692463572283 0.772398898580595 4613.152153590342095 0.761017627847423 4614.690127289582961 0.749961666522097 4616.228613732176200 0.738902019262040 4617.767613089064071 0.731595346912058 4619.307125531242491 0.726631477450280 4620.847151229777410 0.721665953089532 4622.387690355778432 0.717968352513349 4623.928743080417007 0.716272931638525 4625.470309574915518 0.714576945529215 4627.012390010569106 0.714254527681944 4628.554984558714750 0.720956043772961 4630.098093390753093 0.727659794075026 4631.641716678134799 0.734365779332975 4633.185854592383293 0.745277102772886 4634.730507305064748 0.756447025898793 4636.275674987808088 0.767620672953035 4637.821357812292263 0.778129958286157 4639.367555950270798 0.788389857020049 4640.914269573537240 0.798653176290238 4642.461498853950616 0.808669540495102 4644.009243963419067 0.818450102314860 4645.557505073923494 0.828233924865342 4647.106282357489363 0.837564772767005 4648.655575986203075 0.845839205403061 4650.205386132207423 0.854116396643069 4651.755712967698855 0.862311829566246 4653.306556664945674 0.869695005459482 4654.857917396258927 0.877080642821571 4656.409795334012415 0.884468742473140 4657.962190650632692 0.890476726012715 4659.515103518616343 0.896316403271811 4661.068534110505425 0.902158027414457 4662.622482598902934 0.907372890320820 4664.176949156465525 0.912307153662757 4665.731933955920795 0.917243062033313 4667.287437170039993 0.924054417153992 4668.843458971657128 0.932792853947905 4670.399999533658956 0.941534204039580 4671.957059029003176 0.950877660434334 4673.514637630692050 0.961623064312552 4675.072735511790597 0.972372050589100 4676.631352845414767 0.982185665886387 4678.190489804754179 0.984398287036907 4679.750146563042108 0.986611645850748 4681.310323293572765 0.988825742573838 4682.871020169695839 0.986476479448083 4684.432237364830144 0.983747258453476 4685.993975052440874 0.981017127566895 4687.556233406052343 0.972749370054253 4689.119012599246162 0.962533924923514 4690.682312805673064 0.952315074076781 4692.246134199029257 0.939712929991121 4693.810476953070975 0.925237963194279 4695.375341241609931 0.910758170604298 4696.940727238530599 0.899762780279531 4698.506635117758378 0.894368660866605 4700.073065053284154 0.888972743114168 4701.640017219155197 0.884690845628442 4703.207491789472442 0.884591108102413 4704.775488938410490 0.884491337325001 4706.344008840183960 0.884477922635342 4707.913051669075685 0.886495739540745 4709.482617599416699 0.888514229163889 4711.052706805614434 0.890533391729065 4712.623319462117252 0.893598165709900 4714.194455743438084 0.896814128942151 4715.766115824143526 0.900031164340822 4717.338299878871112 0.902032121503396 4718.911008082303852 0.903539576301514 4720.484240609186600 0.905047533668322 4722.057997634318781 0.905981524550589 4723.632279332570761 0.906448576445377 4725.207085878859289 0.906915784050081 4726.782417448162050 0.908133946824962 4728.358274215510392 0.910502364400790 4729.934656356011146 0.912871571580747 4731.511564044811166 0.915516239065229 4733.088997457123696 0.919022548132291 4734.666956768213822 0.922530026163847 4736.245442153419390 0.926365696897611 4737.824453788123719 0.933425885492200 4739.403991847771977 0.940488427875263 4740.984056507863897 0.947553324831506 4742.564647943971977 0.956648591346565 4744.145766331712366 0.965863541492517 4745.727411846764880 0.975081563800515 4747.309584664868453 0.985590523398773 4748.892284961814767 0.996420181068704 4750.475512913469174 1.007253449226273 4752.059268695740684 1.018706552783888 4753.643552484602878 1.030477477586260 4755.228364456081181 1.042252326684203 4756.813704786277412 1.051106871853504 4758.399573651334322 1.057327119411962 4759.985971227459231 1.063549440731877 4761.572897690914942 1.068403760860484 4763.160353218036107 1.071138592322971 4764.748337985201033 1.073874335547896 4766.336852168852602 1.075834827987895 4767.925895945487355 1.075613656699236 4769.515469491676413 1.075392411674523 4771.105572984033643 1.074934307147748 4772.696206599237485 1.072965759841590 4774.287370514020040 1.070996556243626 4775.879064905186169 1.069146446858652 4777.471289949587117 1.077177034109270 4779.064045824135974 1.085210298668497 4780.657332705801309 1.093246241428895 4782.251150771624452 1.106995798320740 4783.845500198692207 1.121444038952256 4785.440381164153223 1.135897096466747 4787.035793845211629 1.152451636365851 4788.631738419146131 1.169622032766485 4790.228215063279094 1.186798153586607 4791.825223954996545 1.205083936149939 4793.422765271738172 1.223942798875031 4795.020839191019149 1.242807948935587 4796.619445890399220 1.254729486997012 4798.218585547499970 1.260969870896899 4799.818258340003922 1.267212335271479 4801.418464445647260 1.269900321370863 4803.019204042241654 1.268111082524880 4804.620477307641522 1.266321247166535 4806.222284419765856 1.263081606498059 4807.824625556588217 1.257008458266475 4809.427500896156744 1.250933285314694 4811.030910616563233 1.244228362702291 4812.634854895964963 1.235505907298940 4814.239333912573784 1.226780543925843 4815.844347844673393 1.218525704613040 4817.449896870593875 1.213182653409351 4819.055981168730796 1.207837820891722 4820.662600917531563 1.202594455858778 4822.269756295520892 1.199531674899261 4823.877447481265335 1.196467872842584 4825.485674653397837 1.193403049348325 4827.094437990605002 1.181805022007500 4828.703737671648923 1.169789707063926 4830.313573875335351 1.157770386347780 4831.923946780535516 1.140535072855566 4833.534856566173403 1.122484523339663 4835.146303411250301 1.104427955970939 4836.758287494810247 1.090218758155954 4838.370808995962761 1.077088347451708 4839.983868093871024 1.063953559214392 4841.597464967775522 1.052813208842127 4843.211599796958581 1.042531266619185 4844.826272760768916 1.032245896510885 4846.441484038608905 1.025225218646125 4848.057233809957324 1.020205630732328 4849.673522254337513 1.015184369343660 4851.290349551335567 1.012176290194648 4852.907715880599426 1.010853346967285 4854.525621421832511 1.009529962685344 4856.144066354811002 1.003131783359170 4857.763050859357463 0.991055439576974 4859.382575115358122 0.978975069675875 4861.002639302757416 0.963857248123918 4862.623243601569811 0.944236360671408 4864.244388191859798 0.924608931832898 4865.866073253752802 0.906104157972163 4867.488298967431547 0.889818162132681 4869.111065513154244 0.873526736722983 4870.734373071221853 0.857995507265168 4872.358221822003543 0.844491008301258 4873.982611945920326 0.830982007087408 4875.607543623470519 0.818943203035714 4877.233017035197918 0.812322419418835 4878.859032361709069 0.805699428506225 4880.485589783668729 0.799894581288558 4882.112689481815323 0.798489581246686 4883.740331636932751 0.797084112793402 4885.368516429868578 0.795982165919627 4886.997244041529484 0.797513854381055 4888.626514652894002 0.799046053490411 4890.256328444987048 0.800690856577556 4891.886685598899930 0.804341014555497 4893.517586295777619 0.807992389455561 4895.149030716841480 0.811621136122178 4896.781019043358356 0.810965689314031 4898.413551456660571 0.810310023987197 4900.046628138139567 0.809654140068824 4901.680249269244086 0.806304814747151 4903.314415031497447 0.802845643920147 4904.949125606469352 0.799385319844003 4906.584381175793169 0.794082927460189 4908.220181921158655 0.788618562631303 4909.856528024332874 0.783152376043846 4911.493419667126545 0.776601124280292 4913.130857031415871 0.769902445128782 4914.768840299133444 0.763201532712053 4916.407369652289162 0.756317100700208 4918.046445272933852 0.749397543879056 4919.686067343190189 0.742475680154494 4921.326236045230871 0.735434263786629 4922.966951561307724 0.728363823123204 4924.608214073718045 0.721291025253377 4926.250023764823709 0.717362873416192 4927.892380817042977 0.714291877410968 4929.535285412870508 0.711219857569769 4931.178737734846436 0.710456749000724 4932.822737965575470 0.710423778931075 4934.467286287719617 0.710390797869570 4936.112382884017279 0.709754349790507 4937.758027937250517 0.708902237168662 4939.404221630271422 0.708049840461930 4941.050964145982107 0.706497945852493 4942.698255667366539 0.704669668408522 4944.346096377450522 0.702840781437155 4945.994486459328073 0.701457594085465 4947.643426096148687 0.700264945924783 4949.292915471138258 0.699071900148445 4950.942954767568153 0.698214080584136 4952.593544168775225 0.697509206053197 4954.244683858159988 0.696804096524917 4955.896374019174800 0.695330338925365 4957.548614835353874 0.693487502931361 4959.201406490272348 0.691644052556302 4960.854749167574482 0.689207260133970 4962.508643050960018 0.686475222100680 4964.163088324204182 0.683742273236243 4965.818085171131315 0.681501469260442 4967.473633775627604 0.679510062939484 4969.129734321639262 0.677517992705779 4970.786386993186170 0.675975357242107 4972.443591974338233 0.674662289597667 4974.101349449227200 0.673348784191056 4975.759659602043030 0.672670861859356 4977.418522617054805 0.672315933473557 4979.077938678573446 0.671960886758576 4980.737907970979904 0.672171787223274 4982.398430678708792 0.672664917789101 4984.059506986273846 0.673158212759184 4985.721137078233369 0.673113157879778 4987.383321139213876 0.672808387123664 4989.046059353896453 0.672503514760366 4990.709351907040400 0.671750718457434 4992.373198983450493 0.670791667638730 4994.037600767998811 0.669832297083133 4995.702557445614730 0.668790028324726 4997.368069201302205 0.667711713947845 4999.034136220114306 0.666633040072924 5000.700758687167763 0.665504526035123 5002.367936787644794 0.664355855223858 5004.035670706781275 0.663206801458504 5005.703960629891299 0.661714493467888 5007.372806742336252 0.660097175388135 5009.042209229542095 0.658479318112495 5010.712168276992998 0.656734916389710 5012.382684070251344 0.654949208869005 5014.053756794924084 0.653162906013243 5015.725386636685471 0.653477800910112 5017.397573781267965 0.654382682836514 5019.070318414480425 0.655287866440505 5020.743620722177184 0.657988266854037 5022.417480890281695 0.661113609952823 5024.091899104772892 0.664239995006282 5025.766875551708836 0.671056180995212 5027.442410417190331 0.678577821165981 5029.118503887390034 0.686101968968059 5030.795156148533351 0.696795165920949 5032.472367386927544 0.707949172181797 5034.150137788923530 0.719106897064469 5035.828467540939528 0.727274284680945 5037.507356829451965 0.735150737939692 5039.186805841014575 0.743029817120514 5040.866814762227477 0.747376072506603 5042.547383779758093 0.751539518257542 5044.228513080332050 0.755704352055048 5045.910202850750466 0.759727608125951 5047.592453277863569 0.763751221919133 5049.275264548587074 0.767770540873102 5050.958636849896720 0.771651461397429 5052.642570368841916 0.775533675777571 5054.327065292523002 0.779605207064522 5056.012121808105803 0.785644351116977 5057.697740102817988 0.791685508552993 5059.383920363945435 0.797986375682386 5061.070662778852238 0.805889741992991 5062.757967534949785 0.813795743198162 5064.445834819714946 0.822253529726197 5066.134264820683711 0.833010418738187 5067.823257725471194 0.843770893977559 5069.512813721736165 0.855358877865165 5071.202932997207427 0.869420001124153 5072.893615739671986 0.883485812205450 5074.584862136993252 0.897161295804908 5076.276672377081923 0.909963212709177 5077.969046647916912 0.922769397630375 5079.661985137535339 0.935408454552622 5081.355488034050722 0.947763893566262 5083.049555525626602 0.960123451746070 5084.744187800491090 0.972503799724007 5086.439385046932330 0.984909571526331 5088.135147453314858 0.997319479275240 5089.831475208053234 1.009753104757166 5091.528368499627504 1.022209857100946 5093.225827516575919 1.034670762387586 5094.923852447514946 1.046277496303705 5096.622443481110167 1.057264838674423 5098.321600806092647 1.068255844103070 5100.021324611253476 1.078854149626285 5101.721615085461053 1.089246060536797 5103.422472417631070 1.099641435995005 5105.123896796747431 1.105736549012709 5106.825888411852247 1.110250177816084 5108.528447452065848 1.114765311413190 5110.231574106557673 1.115394909448749 5111.935268564562648 1.115119731844326 5113.639531015380271 1.114844462498745 5115.344361648368249 1.117402161326363 5117.049760652962505 1.120296230294914 5118.755728218646254 1.123191264113920 5120.462264534971837 1.128991213433795 5122.169369791548888 1.134852630472448 5123.877044178067081 1.140803411573812 5125.585287884261561 1.147944473471331 5127.294101099937507 1.155087916119584 5129.003484014958303 1.162420682751672 5130.713436819265553 1.170737742784365 5132.423959702849061 1.179057575632513 5134.135052855766844 1.187594078784229 5135.846716468135128 1.196761010574948 5137.558950730148354 1.205930998518952 5139.271755832050985 1.214799084453709 5140.985131964152970 1.223106879130317 5142.699079316826101 1.231417443533393 5144.413598080518568 1.240124188995420 5146.128688445727676 1.249312498409353 5147.844350603018029 1.258503871103606 5149.560584743013351 1.268170496728548 5151.277391056418310 1.278220796681430 5152.994769733983048 1.288274447292707 5154.712720966526831 1.296665705529462 5156.431244944929858 1.304198853007499 5158.150341860147819 1.311734511953270 5159.870011903186423 1.317421379944966 5161.590255265120504 1.322549440531926 5163.311072137088559 1.327679210757339 5165.032462710287291 1.331371346287823 5166.754427175992532 1.334865818898740 5168.476965725527407 1.338361456528018 5170.200078550286889 1.340823838410975 5171.923765841721433 1.343279154204372 5173.648027791363347 1.345698652329148 5175.372864590790414 1.347819530006978 5177.098276431653176 1.349941114761875 5178.824263505657655 1.352130616164949 5180.550826004589908 1.354547939542874 5182.277964120286924 1.356966068829571 5184.005678044652086 1.358000748130215 5185.733967969646983 1.356470543361612 5187.462834087316878 1.354939828439726 5189.192276589750691 1.351539657282893 5190.922295669110099 1.346075774957904 5192.652891517613170 1.340610071035242 5194.384064327558917 1.336138417999335 5196.115814291295464 1.332320886044984 5197.848141601238240 1.328502081367875 5199.581046449864516 1.326049489153155 5201.314529029727964 1.324093146296241 5203.048589533434097 1.322136151216343 5204.783228153654818 1.317914045585916 5206.518445083123879 1.313341820143435 5208.254240514652338 1.308762188261472 5209.990614641102184 1.301778351263088 5211.727567655403618 1.294792185931003 5213.465099750545050 1.288173833976463 5215.203211119597654 1.283807854692497 5216.941901955678986 1.279440419839522 5218.681172451977545 1.275839931687086 5220.421022801744584 1.274191450656589 5222.161453198292293 1.272542420040828 5223.902463835011986 1.272980365633446 5225.644054905344092 1.276226927134736 5227.386226602799070 1.279474571003578 5229.128979120945587 1.285648986937461 5230.872312653434165 1.294004461216344 5232.616227393962617 1.302362721117563 5234.360723536299702 1.309155386641446 5236.105801274272380 1.315348287324700 5237.851460801789472 1.321543252652291 5239.597702312807087 1.325645660224090 5241.344526001354097 1.329449697868980 5243.091932061513944 1.333229144363751 5244.839920687454651 1.336165314540834 5246.588492073392445 1.339102463604449 5248.337646413612674 1.341863350823147 5250.087383902459806 1.343855934244051 5251.837704734360159 1.345849181970147 5253.588609103789167 1.348983656274626 5255.340097205291386 1.354260604259166 5257.092169233470486 1.359539311519545 5258.844825383013813 1.366628761820304 5260.598065848653277 1.375455348514640 5262.351890825193550 1.384284877894957 5264.106300507501146 1.389118940083758 5265.861295090518979 1.392039170731207 5267.616874769240894 1.394960374951122 5269.373039738733496 1.392381087260997 5271.129790194117959 1.388787419915444 5272.887126330601859 1.385256559754532 5274.645048343438248 1.385808357950455 5276.403556427952935 1.386360340109768 5278.162650779533578 1.387776689053592 5279.922331593632407 1.392900457507076 5281.682599065778049 1.398025934168076 5283.443453391550975 1.404007976294328 5285.204894766602592 1.411477024942840 5286.966923386642520 1.418948563689204 5288.729539447462230 1.427832472117907 5290.492743144902306 1.437899719173469 5292.256534674876093 1.447970322537411 5294.020914233353324 1.457954784317748 5295.785882016387404 1.467908783243783 5297.551438220079945 1.477866100722518 5299.317583040604404 1.487832487299429 5301.084316674194270 1.497802763836135 5302.851639317163063 1.507548628369715 5304.619551165875237 1.515179837684748 5306.388052416765277 1.522813591160223 5308.157143266328603 1.529723830588319 5309.926823911140673 1.534829085816384 5311.697094547826055 1.539936043079845 5313.467955373083896 1.544763584915465 5315.239406583670643 1.549286668371742 5317.011448376424596 1.553811259773829 5318.784080948233168 1.557868379360121 5320.557304496056531 1.561699547230425 5322.331119216913066 1.565531992369539 5324.105525307905737 1.567581065637827 5325.880522966184799 1.569366440627908 5327.656112388971451 1.570982902498851 5329.432293773553283 1.570382093141027 5331.209067317279732 1.569781083480037 5332.986433217579361 1.569838521105844 5334.764391671933481 1.571644528814853 5336.542942877891619 1.573451138626777 5338.322087033065145 1.576182176490986 5340.101824335149104 1.579919567646838 5341.882154981885833 1.583658204807398 5343.663079171088611 1.587064246654117 5345.444597100634383 1.590319108438995 5347.226708968479215 1.593575055358657 5349.009414972631930 1.596327814821008 5350.792715311167740 1.599023683682763 5352.576610182228251 1.601670500475855 5354.361099784034195 1.603914799223530 5356.146184314857237 1.606159846195486 5357.931863973039071 1.608231638744056 5359.718138956983239 1.609944008197512 5361.505009465176954 1.611656948535933 5363.292475696154725 1.612587429109731 5365.080537848523818 1.612861776262031 5366.869196120953347 1.613136214878624 5368.658450712192462 1.612752714786636 5370.448301821043060 1.612166672550898 5372.238749646377983 1.611580434935187 5374.029794387128277 1.609951009023217 5375.821436242312302 1.608308512233552 5377.613675410993892 1.606606207124158 5379.406512092312369 1.604685701709357 5381.199946485465262 1.602764556019384 5382.993978789734683 1.600570257317586 5384.788609204451859 1.598031870327012 5386.583837929018955 1.595492637066406 5388.379665162907258 1.592470315324493 5390.176091105648084 1.589213230240472 5391.973115956854599 1.585955059280444 5393.770739916189996 1.583431875300729 5395.568963183390224 1.580983202311850 5397.367785958253990 1.578815894961601 5399.167208440660943 1.578335303065780 5400.967230830539847 1.577854550945959 5402.767853327895864 1.575900788818737 5404.569076132790542 1.571562890203154 5406.370899445370924 1.567223545380332 5408.173323465834983 1.560624892896217 5409.976348394451634 1.552658604914395 5411.779974431551636 1.544689661060648 5413.584201777548515 1.539172068758124 5415.389030632906724 1.534029328195671 5417.194461198163481 1.529289708578170 5419.000493673915116 1.527719503042918 5420.807128260844365 1.526148774018573 5422.614365159682166 1.524541120569252 5424.422204571232214 1.522868778280956 5426.230646696361873 1.521195878452317 5428.039691736017630 1.519471943929150 5429.849339891201453 1.517715612311065 5431.659591362983520 1.515958695151523 5433.470446352497675 1.514347745490669 5435.281905060961435 1.512758701045343 5437.093967689643250 1.510888561098880 5438.906634439882509 1.507027717915569 5440.719905513086815 1.503165587570016 5442.533781110723794 1.497825210419875 5444.348261434349297 1.490097739406038 5446.163346685563738 1.482367692139182 5447.979037066045748 1.471393067849873 5449.795332777530348 1.458620873341987 5451.612234021842596 1.445844420726234 5453.429741000852118 1.434278610629264 5455.247853916505846 1.422832532007664 5457.066572970808920 1.411682729707655 5458.885898365853791 1.401953629914250 5460.705830303782932 1.392221286547009 5462.526368986808848 1.383999168981310 5464.347514617209526 1.377678435563275 5466.169267397344811 1.371355594882891 5467.991627529627294 1.368716272162479 5469.814595216540511 1.367551042495439 5471.638170660630749 1.366385424353772 5473.462354064528881 1.362398713277227 5475.287145630916712 1.358376498524857 5477.112545562547893 1.353567548202899 5478.938554062240655 1.346570626589755 5480.765171332895079 1.339571372280623 5482.592397577462179 1.331610238318089 5484.420232998969368 1.322838987809949 5486.248677800501355 1.314064813064326 5488.077732185231071 1.303255552528732 5489.907396356381469 1.292009457518029 5491.737670517248262 1.280906975224504 5493.568554871189917 1.271018292282244 5495.400049621647668 1.261126312562880 5497.232154972117314 1.252089753830777 5499.064871126165599 1.244370471169592 5500.898198287427476 1.236648614985290 5502.732136659599746 1.229107751326686 5504.566686446465610 1.221649695901339 5506.401847851858292 1.214189154043134 5508.237621079682867 1.207520597982247 5510.074006333910802 1.200871226109426 5511.911003818595418 1.194094333177912 5513.748613737840969 1.186971568646217 5515.586836295828107 1.179846429463922 5517.425671696795689 1.172325468700726 5519.265120145071705 1.164496781214143 5521.105181845034167 1.156665483730085 5522.945857001133845 1.148556446223022 5524.787145817883356 1.140400482301621 5526.629048499882629 1.132171362030306 5528.471565251782522 1.123575976543916 5530.314696278306656 1.114977725451455 5532.158441784240495 1.107417491703363 5534.002801974457725 1.101049843199196 5535.847777053881146 1.094680071791728 5537.693367227507224 1.090141647328862 5539.539572700396093 1.086145765768287 5541.386393677693377 1.082147708072816 5543.233830364596542 1.078138511321452 5545.081882966374906 1.074127977948414 5546.930551688361447 1.070104914168993 5548.779836735978279 1.066062978679502 5550.629738314692077 1.062019695653608 5552.480256630050462 1.056926446740100 5554.331391887658356 1.051387582331249 5556.183144293210717 1.045806861966180 5558.035514052451617 1.038028258809672 5559.888501371199709 1.030247062353254 5561.742106455342764 1.022261740883948 5563.596329510830401 1.013874681277863 5565.451170743699549 1.005484825519216 5567.306630360038071 0.996633539438528 5569.162708566007495 0.987538402638551 5571.019405567834838 0.978440233620986 5572.876721571828966 0.968819504197112 5574.734656784352410 0.959183954684309 5576.593211411844095 0.949412268564828 5578.452385660804794 0.939331507198124 5580.312179737818951 0.929247385017501 5582.172593849525583 0.921166753980561 5584.033628202636464 0.914261001565408 5585.895283003928853 0.907352946849107 5587.757558460264590 0.905082052719228 5589.620454778556450 0.903004388080497 5591.483972165794512 0.900969418058769 5593.348110829028883 0.899039051779163 5595.212870975397891 0.897108041936871 5597.078252812091705 0.895363016263416 5598.944256546375073 0.893728812044729 5600.810882385575496 0.892094063000509 5602.678130537107791 0.889880706273216 5604.546001208438611 0.887644384311464 5606.414494607108281 0.885161693484904 5608.283610940721701 0.882110588899869 5610.153350416971080 0.879058467110436 5612.023713243597740 0.878198168318981 5613.894699628420312 0.878552443152228 5615.766309779326548 0.878906836096770 5617.638543904266953 0.884610192832680 5619.511402211279346 0.890384022585948 5621.384884908454296 0.895622894254807 5623.258992203955131 0.899790395801753 5625.133724306009753 0.903959286747419 5627.009081422935196 0.906372168649194 5628.885063763097605 0.907966326534826 5630.761671534939524 0.909555107944552 5632.638904946967159 0.910970495553908 5634.516764207773122 0.912386355037779 5636.395249526003681 0.913673226627168 5638.274361110377868 0.914754601436880 5640.154099169682013 0.915836336764941 5642.034463912787032 0.919040960826764 5643.915455548614773 0.922986494579312 5645.797074286166207 0.927396881563362 5647.679320334504155 0.936008927806058 5649.562193902777835 0.944623845209360 5651.445695200189220 0.952986775049620 5653.329824436017589 0.961052752145202 5655.214581819604973 0.969121418347954 5657.099967560378900 0.976438182656029 5658.985981867821465 0.983594035632364 5660.872624951491161 0.990723203628360 5662.759897021007419 0.997728240656184 5664.647798286079706 1.004735613085585 5666.536328956468424 1.011637499941920 5668.425489242010372 1.018454871958883 5670.315279352606922 1.025274516811949 5672.205699498246759 1.030732049392411 5674.096749888969498 1.036078254468520 5675.988430734892063 1.040679202405418 5677.880742246202317 1.043497537185887 5679.773684633150879 1.046316811567867 5681.667258106075678 1.050426574671214 5683.561462875368306 1.055175252474875 5685.456299151495841 1.060076937457503 5687.351767144990845 1.068154647804592 5689.247867066470462 1.076235051170630 5691.144599126608227 1.084566865247877 5693.041963536152252 1.093239168538822 5694.939960505914314 1.101914363079352 5696.838590246794411 1.111712128490978 5698.737852969746200 1.121784301347419 5700.637748885797919 1.131567533324614 5702.538278206045106 1.140093595175090 5704.439441141667885 1.148622499519930 5706.341237903900947 1.155837388499699 5708.243668704055381 1.162076209291489 5710.146733753505941 1.168317110036828 5712.050433263717423 1.174242573486413 5713.954767446203732 1.180157298979635 5715.859736512559721 1.185859485339696 5717.765340674442086 1.191167806127550 5719.671580143596657 1.196477896650623 5721.578455131821102 1.201564808461307 5723.485965850990397 1.206575933158791 5725.394112513045002 1.211527730730157 5727.302895330012689 1.216101356711988 5729.212314513975798 1.220676507489934 5731.122370277089431 1.226870302965309 5733.033062831578718 1.234470715162676 5734.944392389752466 1.242073661253087 5736.856359163976776 1.252927192561095 5738.768963366690514 1.264012804700693 5740.682205210406210 1.274615291651948 5742.596084907700060 1.284257488060773 5744.510602671238303 1.293902899070839 5746.425758713737196 1.301647694560766 5748.341553247993033 1.308723287277081 5750.257986486866685 1.315151711653441 5752.175058643305420 1.317752702276690 5754.092769930312897 1.320354560041329 5756.011120560966447 1.318321180034273 5757.930110748412517 1.312540579184273 5759.849740705882141 1.306758051146126 5761.770010646661831 1.298595334007562 5763.690920784115406 1.290339544318557 5765.612471331671259 1.280623584962583 5767.534662502846913 1.268484717552800 5769.457494511213554 1.256341803179421 5771.380967570418761 1.245597129232605 5773.305081894175601 1.235220095436813 5775.229837696287177 1.225877574946432 5777.155235190608437 1.220491924949572 5779.081274591073452 1.215104479436808 5781.007956111679960 1.211796136078886 5782.935279966514827 1.209725222397794 5784.863246369721310 1.207966271989094 5786.791855535515424 1.212360575112032 5788.721107678184126 1.216756343246823 5790.651003012097135 1.219460154071941 5792.581541751684199 1.220270261458843 5794.512724111447824 1.221080638926552 5796.444550305965095 1.216552349963908 5798.377020549875851 1.211415134747573 5800.310135057912703 1.206584036129325 5802.243894044860099 1.202388061736480 5804.178297725578886 1.198190688452370 5806.113346314996306 1.196966058348089 5808.049040028132367 1.196700039371822 5809.985379080056191 1.196182984147223 5811.922363685916935 1.194586439127363 5813.859994060929239 1.192989361837127 5815.798270420396875 1.189719057329028 5817.737192979679094 1.185436726418370 5819.676761954210633 1.180975392365705 5821.616977559493534 1.173739461242180 5823.557840011118969 1.166501117739551 5825.499349524732679 1.156263388943890 5827.441506316057712 1.143015583628224 5829.384310600884419 1.129763361641417 5831.327762595090462 1.118713237553292 5833.271862514608074 1.107799138878667 5835.216610575451341 1.097443806955783 5837.162006993696195 1.087987854295023 5839.108051985507700 1.078528749124633 5841.054745767110035 1.069826465014964 5843.002088554800139 1.061277561953558 5844.950080564945893 1.053244733894199 5846.898722014000668 1.046562441031143 5848.848013118475137 1.039877920365854 5850.797954094957277 1.034272779651067 5852.748545160100548 1.029071702541773 5854.699786530650272 1.024420966305449 5856.651678423404519 1.022297129424708 5858.604221055240487 1.020172584480336 5860.557414643106313 1.017100482880047 5862.511259404018347 1.013479472766526 5864.465755555082069 1.009662842326678 5866.420903313458439 1.003876718310636 5868.376702896385723 0.998088665265102 5870.333154521169490 0.993089917348580 5872.290258405203531 0.988740973311841 5874.248014765938933 0.984439711940358 5876.206423820905002 0.985429132730792 5878.165485787696525 0.986418883383128 5880.125200883996513 0.987230817783431 5882.085569327548910 0.987843762101708 5884.046591336169513 0.988456910768814 5886.008267127745967 0.988284003067202 5887.970596920252319 0.988058235958735 5889.933580931719916 0.988000004077013 5891.897219380258321 0.988188822194062 5893.861512484043487 0.988377703260973 5895.826460461341412 0.990474340629947 5897.792063530474479 0.992847940868222 5899.758321909843289 0.994627470328767 5901.725235817914836 0.995277745984114 5903.692805473247063 0.995928238434145 5905.661031094452483 0.995748057767048 5907.629912900221825 0.995383532379999 5909.599451109315851 0.994208651753675 5911.569645940582632 0.991089003274487 5913.540497612928448 0.987968314739137 5915.512006345334157 0.979987851436480 5917.484172356858835 0.970569292771054 5919.456995866625221 0.961355711505584 5921.430477093847003 0.952757268653695 5923.404616257794260 0.944155959176445 5925.379413577817104 0.936874802969789 5927.354869273329314 0.930070948069400 5929.330983563839254 0.923740439427714 5931.307756668909860 0.919113527348093 5933.285188808181374 0.914485072707367 5935.263280201363159 0.911090988172211 5937.242031068253709 0.908214703472806 5939.221441628709727 0.905739155244557 5941.201512102666129 0.904946160515261 5943.182242710123319 0.904152901410331 5945.163633671176285 0.906718812237908 5947.145685205970949 0.910844059631061 5949.128397534737815 0.915002189933823 5951.111770877771050 0.919309556296416 5953.095805455456684 0.923618358687131 5955.080501488238951 0.928211980383763 5957.065859196638485 0.932946516541614 5959.051878801244129 0.937847509126332 5961.038560522737498 0.943572189744841 5963.025904581854775 0.949298778908296 5965.013911199412178 0.957146114140646 5967.002580596294138 0.966059263016591 5968.991912993473306 0.974554908260656 5970.981908611984181 0.980953028022574 5972.972567672934019 0.987353280846565 5974.963890397502837 0.991022598045786 5976.955877006960691 0.993345646126760 5978.948527722634026 0.995612847540640 5980.941842765925685 0.997613614696867 5982.935822358318546 0.999615048886647 5984.930466721358243 1.001039302001358 5986.925776076684997 1.002194577809536 5988.921750645991779 1.003379441288448 5990.918390651056143 1.004688223124060 5992.915696313718399 1.005997441292998 5994.913667855915264 1.007975965805588 5996.912305499636204 1.010238439427219 5998.911609466953450 1.011854839587840 6000.911579980005627 1.011121583748467 6002.912217261022306 1.010388083449737 6004.913521532293089 1.005241356193015 6006.915493016182154 0.998470786630878 6008.918131935126439 0.991995730817100 6010.921438511652923 0.986418173283439 6012.925412968345881 0.980838756254033 6014.930055527868717 0.977593292875659 6016.935366412952135 0.975051625050333 6018.941345846424156 0.972138117452859 6020.947994051161004 0.968314189434549 6022.955311250127124 0.964488986561100 6024.963297666348808 0.957913263753452 6026.971953522950571 0.950704444403905 6028.981279043107861 0.943986457352701 6030.991274450080709 0.938228036546301 6033.001939967194630 0.932467695946371 6035.013275817869726 0.928468368990275 6037.025282225582487 0.924738881923019 6039.037959413888530 0.920752403633885 6041.051307606411683 0.916375146623874 6043.065327026870364 0.911996430284972 6045.080017899037557 0.905946952161267 6047.095380446769923 0.899766269464876 6049.111414893994151 0.893705034556201 6051.128121464709693 0.887783320847839 6053.145500383006947 0.881859632905868 6055.163551873030883 0.876636295723285 6057.182276159012872 0.871412787124960 6059.201673465247950 0.866541610815598 6061.221744016124831 0.861975866289182 6063.242488036091345 0.857567275589998 6065.263905749673540 0.855101932999308 6067.285997381467496 0.852635768490783 6069.308763156162968 0.850589927745227 6071.332203298504282 0.848804524707357 6073.356318033319440 0.847482862411225 6075.381107585502832 0.848577453734264 6077.406572180045259 0.849672409981899 6079.432712041989362 0.851372938706801 6081.459527396464182 0.853324794222769 6083.487018468663337 0.855887983736218 6085.515185483877758 0.860236737485076 6087.544028667452039 0.864586941060141 6089.573548244813537 0.867940554869791 6091.603744441458730 0.871053281633486 6093.634617482976864 0.872994709474466 6095.666167595013576 0.872822728706818 6097.698395003298174 0.872650690602692 6099.731299933626360 0.872033202938509 6101.764882611889334 0.871371803680207 6103.799143264033773 0.870442059978773 6105.834082116090940 0.869205368779560 6107.869699394162126 0.867963621259224 6109.905995324423202 0.866535829300197 6111.942970133139170 0.865107561331183 6113.980624046636876 0.863357076615816 6116.018957291322295 0.861377040368424 6118.057970093667791 0.859228578578498 6120.097662680245776 0.856098818414139 6122.138035277681411 0.852968014822498 6124.179088112682621 0.847377954865849 6126.220821412027362 0.840781495869134 6128.263235402586361 0.834601851507572 6130.306330311289457 0.829520935158143 6132.350106365146530 0.824438324887628 6134.394563791237488 0.822333210247699 6136.439702816736826 0.820780195420573 6138.485523668876340 0.819864361025014 6140.532026574970587 0.819853793259858 6142.579211762399609 0.819843221971527 6144.627079458642584 0.824603844542630 6146.675629891235076 0.829438904993048 6148.724863287791777 0.833959029609480 6150.774779876000139 0.838230524943500 6152.825379883641290 0.842261548227955 6154.876663538552748 0.844734026519832 6156.928631068656614 0.847207329108516 6158.981282701940472 0.849262756412974 6161.034618666491042 0.851149368140945 6163.088639190449612 0.852561460417969 6165.143344502042055 0.852818481523084 6167.198734829560635 0.853075588316180 6169.254810401396753 0.853675394388930 6171.311571445995469 0.854325290286989 6173.369018191886425 0.855944850529128 6175.427150867673845 0.858720007614939 6177.485969702034708 0.861475289896111 6179.545474923737856 0.863754008996695 6181.605666761610337 0.866033487796921 6183.666545444564690 0.867205358564795 6185.728111201578940 0.867724002418043 6187.790364261729337 0.868392779758452 6189.853304854148519 0.869598679593135 6191.916933208052797 0.870804981461433 6193.981249552727604 0.874067024020633 6196.046254117553872 0.877813717235600 6198.111947131969828 0.882080446362097 6200.178328825497374 0.887118195514773 6202.245399427729353 0.892157624197061 6204.313159168350467 0.902828536528860 6206.381608277107262 0.913515564327486 6208.450746983827230 0.923729679577302 6210.520575518407895 0.933622514125962 6212.591094110843187 0.942989660547770 6214.662302991183424 0.950157461542537 6216.734202389563507 0.957327652202556 6218.806792536189278 0.964090283252614 6220.880073661360257 0.970749136129879 6222.954045995434171 0.976657300135671 6225.028709768853332 0.981425028743703 6227.104065212129171 0.986197846957892 6229.180112555869528 0.992756206726589 6231.256852030739537 0.999316752979601 6233.334283867488921 1.008908032969545 6235.412408296935610 1.020451026691277 6237.491225549996670 1.031925676359131 6239.570735857645559 1.043143663508040 6241.650939450937585 1.054365390609286 6243.731836561006276 1.064537828579665 6245.813427419057916 1.074493992651884 6247.895712256391562 1.084270944567877 6249.978691304366293 1.093818542380103 6252.062364794424866 1.103286728506157 6254.146732958078246 1.111308560004975 6256.231796026937445 1.119333065893359 6258.317554232669863 1.127125705023614 6260.404007807026574 1.134805407027154 6262.491156981826862 1.142119117669553 6264.579001988991877 1.148523944731347 6266.667543060497337 1.154930907091359 6268.756780428401726 1.160695698823518 6270.846714324838103 1.166397016066519 6272.937344982033210 1.170869983180795 6275.028672632272901 1.174251655284551 6277.120697507927616 1.177620464738412 6279.213419841436917 1.180913099424698 6281.306839865339498 1.184206831838835 6283.400957812230445 1.187261392554807 6285.495773914790334 1.190248716955810 6287.591288405768864 1.194175614578347 6289.687501518014869 1.199476084486539 6291.784413484434481 1.205092480992444 6293.882024538017504 1.219252197867442 6295.980334911825594 1.233416635434760 6298.079344839016812 1.246368423010610 6300.179054552808338 1.258715645890646 6302.279464286501934 1.268788054558568 6304.380574273474849 1.273536592530494 6306.482384747179822 1.278286713612237 6308.584895941161449 1.282050792864472 6310.688108089027082 1.285746933716035 6312.792021424466839 1.287039259573422 6314.896636181241774 1.286526877230995 6317.001952593212991 1.286110366758677 6319.107970894295249 1.286055310960917 6321.214691318492441 1.286000236808164 6323.322114099877581 1.287496520883563 6325.430239472620997 1.289266347572416 6327.539067670953955 1.291349421384662 6329.648598929189575 1.293755189597203 6331.758833481713737 1.296632120062070 6333.869771563010545 1.302477117834629 6335.981413407621403 1.308324064264535 6338.093759250174116 1.313349097446113 6340.206809325366521 1.318147273088726 6342.320563867995588 1.321018693591871 6344.435023112914678 1.321342154055022 6346.550187295066280 1.321736407818694 6348.666056649461098 1.322938887571152 6350.782631411208058 1.324141768217009 6352.899911815476116 1.328072919862750 6355.017898097518810 1.333004292958501 6357.136590492661526 1.337882333264446 6359.255989236326968 1.342674306777748 6361.376094563997867 1.347436378106571 6363.496906711241536 1.351455596996991 6365.618425913697138 1.355476155850343 6367.740652407102061 1.359427041372051 6369.863586427252812 1.363348463207588 6371.987228210030480 1.366813181479905 6374.111577991396189 1.369452301466365 6376.236636007381094 1.372096737152487 6378.362402494116395 1.374995002542934 6380.488877687792410 1.377894234182879 6382.616061824683129 1.381521593033823 6384.743955141136212 1.385492781728914 6386.872557873597543 1.389311215496341 6389.001870258572126 1.392837194316489 6391.131892532649545 1.396341650387172 6393.262624932493054 1.397660828162525 6395.394067694864134 1.398980445737103 6397.526221056581562 1.400761253651505 6399.659085254553247 1.402761258740187 6401.792660525756219 1.405523626940244 6403.926947107267551 1.409713958228630 6406.061945236225256 1.413882315179837 6408.197655149849197 1.416885450809736 6410.334077085435638 1.419889587651697 6412.471211280376338 1.419015156911039 6414.609057972124901 1.416421877206191 6416.747617398219518 1.414185766241750 6418.886889796272953 1.412563222649221 6421.026875403993472 1.411159652947972 6423.167574459150273 1.414386744491509 6425.308987199600779 1.417614911911532 6427.451113863271530 1.419888237216800 6429.593954688190934 1.421797970425913 6431.737509912444693 1.421247077092637 6433.881779774206734 1.417074450159289 6436.026764511728288 1.412888115015006 6438.172464363335166 1.408571196682616 6440.318879567450495 1.404252839137582 6442.466010362559246 1.399343185649394 6444.613856987231884 1.394256904260433 6446.762419680110725 1.390105831287413 6448.911698679938127 1.387065860706561 6451.061694225516476 1.385560631039472 6453.212406555734560 1.393115447793307 6455.363835909553018 1.400672783239127 6457.515982526033440 1.407956921073387 6459.668846644295627 1.415188791233423 6461.822428503548508 1.421560465091386 6463.976728343070135 1.427156158412561 6466.131746402243152 1.432421848167350 6468.287482920503862 1.436504733051545 6470.443938137381338 1.440588979124223 6472.601112292473772 1.437193855760213 6474.759005625482132 1.433091226337041 6476.917618376162864 1.429280638823359 6479.076950784364271 1.425656117509538 6481.237003090004691 1.422834015513905 6483.397775533103413 1.421810448156111 6485.559268353737934 1.420786123990550 6487.721481792077611 1.419715241435926 6489.884416088358194 1.418644001860955 6492.048071482920932 1.417592454524454 6494.212448216165285 1.416548714069313 6496.377546528578023 1.415636194421385 6498.543366660716856 1.414909239286329 6500.709908853243178 1.414494164144265 6502.877173346878408 1.416369373879036 6505.045160382427639 1.418245208787907 6507.213870200778729 1.419151603242605 6509.383303042893203 1.419855531399207 6511.553459149832634 1.416924715465012 6513.724338762719526 1.410846664954432 6515.895942122760971 1.404651354800438 6518.068269471241365 1.398102177289914 6520.241321049541511 1.391550816356320 6522.415097099107697 1.382351426689274 6524.589597861468064 1.373036405053169 6526.764823578228970 1.364534333481592 6528.940774491094089 1.356425325540424 6531.117450841829850 1.350097532536198 6533.294852872289994 1.346566636365268 6535.472980824399201 1.343043028416181 6537.651834940187655 1.339588946429150 6539.831415461741926 1.336133712889542 6542.011722631237717 1.332288872175668 6544.192756690924398 1.328361098789193 6546.374517883154112 1.323916912561478 6548.557006450335393 1.319045380920796 6550.740222634969541 1.312147279504339 6552.924166679628797 1.299779787435561 6555.108838826986357 1.287408172182231 6557.294239319777262 1.276652708544309 6559.480368400823863 1.265901979402904 6561.667226313022184 1.263930589849156 6563.854813299371017 1.265354462141297 6566.043129602927365 1.265792931051569 6568.232175466838271 1.265022587247588 6570.421951134324445 1.264261767316488 6572.612456848707552 1.263545571369633 6574.803692853370194 1.262829136651003 6576.995659391783192 1.260956085370725 6579.188356707498315 1.258968622237820 6581.381785044142816 1.251799744979339 6583.575944645443087 1.241759167133813 6585.770835755188273 1.231828035290847 6587.966458617255739 1.222078837028559 6590.162813475595613 1.212783906915963 6592.359900574262610 1.207004291858496 6594.557720157368749 1.201222749941553 6596.756272469117903 1.195087461790240 6598.955557753786707 1.188889677553924 6601.155576255752749 1.187500660894215 6603.356328219455463 1.189408152578693 6605.557813889425233 1.191272245963052 6607.760033510262474 1.193049576777294 6609.962987326672192 1.194800378485428 6612.166675583421238 1.196233391478403 6614.371098525362868 1.197666882221997 6616.576256397426732 1.198428513707228 6618.782149444643437 1.199046388558846 6620.988777912106343 1.196400478526751 6623.196142044996122 1.191295105745213 6625.404242088567116 1.186416313297254 6627.613078288179167 1.182023537377295 6629.822650889252145 1.177824812847223 6632.032960137292321 1.176260080693339 6634.244006277883273 1.174694826875136 6636.455789556711352 1.172996462017435 6638.668310219522937 1.171268605788004 6640.881568512153535 1.168771998346673 6643.095564680520511 1.165705478831334 6645.310298970616714 1.162566948149690 6647.525771628537768 1.159283028248976 6649.741982900441144 1.155836455003739 6651.958933032570712 1.150684724842189 6654.176622271248561 1.145531277151027 6656.395050862898643 1.140611606205317 6658.614219054004934 1.135733435603010 6660.834127091142363 1.132229057163290 6663.054775220961346 1.129619978380625 6665.276163690213252 1.126912555712132 6667.498292745712206 1.124036349129531 6669.721162634361463 1.121119513018826 6671.944773603140675 1.117938423440439 6674.169125899130449 1.114756273322103 6676.394219769474148 1.111393829409431 6678.620055461404263 1.108009507489893 6680.846633222229684 1.103462053651821 6683.073953299362074 1.098322734842821 6685.302015940273122 1.093166188772677 6687.530821392526377 1.087987499964735 6689.760369903759965 1.082711113041467 6691.990661721714787 1.077053706472617 6694.221697094195406 1.071394413787239 6696.453476269092789 1.066207708448482 6698.685999494377029 1.061032005800632 6700.919267018118262 1.059830708787180 6703.153279088453019 1.059972887117213 6705.388035953602412 1.060100003471404 6707.623537861867590 1.060213358810081 6709.859785061650655 1.060223593643457 6712.096777801416465 1.059992489630446 6714.334516329719918 1.059742095791174 6716.573000895199584 1.059264399351318 6718.812231746567704 1.058786543652774 6721.052209132642020 1.056060209708505 6723.292933302302117 1.052961164122738 6725.534404504516715 1.049881015274021 6727.776622988332747 1.046811056834500 6730.019589002897192 1.044162360509458 6732.263302797424330 1.042088142247450 6734.507764621213937 1.039970462224102 6736.752974723644002 1.037689569030238 6738.998933354196197 1.035407915411906 6741.245640762414041 1.030863597667968 6743.493097197932912 1.026306564517391 6745.741302910461854 1.021621861999750 6747.990258149817237 1.016900712504287 6750.239963165873633 1.011073177992444 6752.490418208600204 1.004421439265497 6754.741623528039781 0.997796565756932 6756.993579374340698 0.991220103063637 6759.246285997713130 0.984721311951477 6761.499743648456388 0.978645592429454 6763.753952576949814 0.972567847330030 6766.008913033674617 0.964927070872812 6768.264625269173848 0.957206686823699 6770.521089534082421 0.933506571998749 6772.778306079112554 0.904455200472884 6775.036275155080148 0.876028180102005 6777.294997012862041 0.848115843513469 6779.554471903428748 0.825340641596422 6781.814700077825364 0.812237665158488 6784.075681787202484 0.799317691173911 6786.337417282774368 0.787468431891755 6788.599906815843497 0.775615222198141 6790.863150637797844 0.779563036019506 6793.127149000102690 0.784320562829688 6795.391902154326999 0.789273928776056 6797.657410352103398 0.794291700164876 6799.923673845153644 0.800261702814156 6802.190692885278622 0.806974724576369 6804.458467724383809 0.813810481517291 6806.726998614437434 0.820853993223690 6808.996285807497770 0.828688059222332 6811.266329555700395 0.840140217836900 6813.537130111288207 0.851596194474017 6815.808687726563221 0.862552736283970 6818.081002653921132 0.873507810918104 6820.354075145835850 0.878375502785796 6822.627905454883148 0.881745005181647 6824.902493833705194 0.884922671565488 6827.177840535034193 0.887981371926610 6829.453945811677841 0.889950528190023 6831.730809916552971 0.890487688692588 6834.008433102634626 0.891074752001440 6836.286815622994254 0.891811572390831 6838.565957730778791 0.892751035451690 6840.845859679238856 0.896447132053759 6843.126521721689642 0.900144460893388 6845.407944111539109 0.903671172939442 6847.690127102271617 0.907177573659411 6849.973070947477026 0.908521144288947 6852.256775900807042 0.908985077837762 6854.541242216009778 0.909549500579107 6856.826470146912470 0.910201492723011 6859.112459947422394 0.912157306558376 6861.399211871554144 0.916434250066247 6863.686726173382340 0.920716381867139 6865.975003107076191 0.925016353160006 6868.264042926882212 0.929298444191990 6870.553845887150601 0.932302192369854 6872.844412242298858 0.935306941964006 6875.135742246831796 0.938232751710965 6877.427836155337900 0.941144847057393 6879.720694222505699 0.942931102711390 6882.014316703091026 0.944178481403271 6884.308703851940663 0.945349824753353 6886.603855923980518 0.946447897068397 6888.899773174239272 0.946649862847271 6891.196455857814726 0.945141699767203 6893.493904229891086 0.943661989387203 6895.792118545735320 0.942313596745847 6898.091099060718079 0.941007805728169 6900.390846030274588 0.942067493029739 6902.691359709931930 0.943127533619288 6904.992640355296317 0.943949564151798 6907.294688222078548 0.944732144340505 6909.597503566055821 0.940843446682027 6911.901086643096278 0.934932145195723 6914.205437709146281 0.929143715429968 6916.510557020259512 0.923459536564321 6918.816444832552406 0.920169545003943 6921.123101402235079 0.920716525286194 6923.430526985595861 0.921279172094719 6925.738721839029495 0.921893885034287 6928.047686218995295 0.922663948443457 6930.357420382044438 0.925295800231221 6932.667924584813591 0.927928529449144 6934.979199084018546 0.930506009647478 6937.291244136482419 0.933079832854922 6939.604059999091987 0.933697310097193 6941.917646928825889 0.933748875248838 6944.232005182743706 0.933842795519595 6946.547135018008703 0.933961900190391 6948.863036691852358 0.935070849844571 6951.179710461595278 0.937250213932747 6953.497156584639924 0.939364012107135 6955.815375318494262 0.941347082450037 6958.134366920729917 0.942159324865827 6960.454131649014016 0.938028098202917 6962.774669761090991 0.933895177851208 6965.095981514810774 0.929754791420458 6967.418067168092421 0.925613024630849 6969.740926978944117 0.922299101966307 6972.064561205454083 0.919067354752302 6974.388970105818771 0.915839284102701 6976.714153938299205 0.912611560594791 6979.040112961247360 0.909795510019115 6981.366847433097064 0.907218888113673 6983.694357612388558 0.904662956741786 6986.022643757727565 0.902128080967067 6988.351706127810758 0.900422535932221 6990.681544981417574 0.900183892742720 6993.012160577432951 0.899933851675861 6995.343553174806402 0.899645463855370 6997.675723032582027 0.899856832000624 7000.008670409889419 0.904734444505874 7002.342395565938205 0.909613683152954 7004.676898760044423 0.914440632666352 7007.012180251592326 0.919267336894472 7009.348240300056204 0.919725659927636 7011.685079164990384 0.919340715722739 7014.022697106059240 0.918958421145140 7016.361094382990814 0.918577127119664 7018.700271255606822 0.917866384115013 7021.040227983808109 0.916922466205778 7023.380964827604657 0.916078282778047 7025.722482047071935 0.915350455532606 7028.064779902377268 0.915149465327469 7030.407858653768926 0.915975028457912 7032.751718561604321 0.916817146186731 7035.096359886304526 0.917717850235519 7037.441782888385205 0.918938679986906 7039.787987828442056 0.923077393560557 7042.134974967178096 0.927217486935365 7044.482744565363646 0.931387041642939 7046.831296883860887 0.935558535679510 7049.180632183613852 0.937268232799666 7051.530750725672988 0.938591779313436 7053.881652771156951 0.939942406628296 7056.233338581275348 0.941302397769380 7058.585808417321459 0.945598710914482 7060.939062540693158 0.951578412338678 7063.293101212857437 0.957414638272561 7065.647924695373149 0.963120528764290 7068.003533249881002 0.966148954798862 7070.359927138128114 0.965373362586552 7072.717106621930725 0.964597885370930 7075.075071963197843 0.963823004286490 7077.433823423923968 0.960273622107421 7079.793361266185457 0.945385244122206 7082.153685752168712 0.930481036988919 7084.514797144123804 0.915462671930163 7086.876695704398117 0.900439299915266 7089.239381695415432 0.880377594959612 7091.602855379712310 0.860237213792568 7093.967117019889884 0.839674441262930 7096.332166878642965 0.819049597937884 7098.698005218747312 0.807033938772008 7101.064632303089638 0.797429401557300 7103.432048394620324 0.787894291307126 7105.800253756386155 0.778390045737215 7108.169248651513044 0.777239534614708 7110.539033343238771 0.782087537172613 7112.909608094863870 0.787039328371501 7115.280973169785284 0.792101321042093 7117.653128831482718 0.801527823908860 7120.026075343541379 0.817808035062711 7122.399812969616505 0.834333424104569 7124.774341973456103 0.851437986725304 7127.149662618889124 0.868396628902824 7129.525775169854569 0.884761501459213 7131.902679890357831 0.901136950335264 7134.280377044499801 0.917559085200527 7136.658866896461404 0.933748494791938 7139.038149710533617 0.938583838192046 7141.418225751074715 0.943420793641949 7143.799095282536655 0.948088959525061 7146.180758569454156 0.952746255095125 7148.563215876471077 0.948480063411865 7150.946467468295850 0.942574973170712 7153.330513609736045 0.936485506435106 7155.715354565685629 0.930336207329339 7158.100990601118610 0.922274734429704 7160.487421981120860 0.913291784022019 7162.874648970843737 0.903736750342935 7165.262671835535002 0.893787149613611 7167.651490840524275 0.891584615797790 7170.041106251248493 0.896790537728843 7172.431518333213717 0.902179988078218 7174.822727352022412 0.907810803893412 7177.214733573356170 0.914258681794534 7179.607537263008453 0.922202356272713 7182.001138686839113 0.930174279537221 7184.395538110803500 0.938215966923561 7186.790735800938819 0.945582018246703 7189.186732023392324 0.950248323570651 7191.583527044379480 0.954807368904339 7193.981121130211250 0.958617238867137 7196.379514547277722 0.962570572524554 7198.778707562082673 0.969017048085844 7201.178700441196270 0.975465672830498 7203.579493451283270 0.982003709685197 7205.981086859093011 0.988545454158185 7208.383480931482154 0.997391097992553 7210.786675935376479 1.006458985928397 7213.190672137798174 1.015672290756781 7215.595469805849461 1.024914853966406 7218.001069206746251 1.033875131634970 7220.407470607769028 1.042756845283423 7222.814674276295591 1.052375746208018 7225.222680479793780 1.062294495001954 7227.631489485812381 1.067197998384676 7230.041101562010226 1.069378984398873 7232.451516976117091 1.071350834074041 7234.862735995954608 1.073174776037528 7237.274758889429904 1.075449217106733 7239.687585924559244 1.078132649084182 7242.101217369428014 1.080804630127373 7244.515653492218007 1.083463266652452 7246.930894561191053 1.088005752785145 7249.346940844723576 1.095304098487766 7251.763792611255667 1.102679320742515 7254.181450129328368 1.110195830782597 7256.599913667562760 1.114789225343632 7259.019183494690878 1.112340708178761 7261.439259879513884 1.109627247322754 7263.860143090928432 1.106073237724861 7266.281833397913942 1.103085587125934 7268.704331069563523 1.102572084930174 7271.127636375034854 1.102076264028437 7273.551749583584751 1.101694506233665 7275.976670964550067 1.102492163322389 7278.402400787383158 1.115954623935963 7280.828939321602775 1.129449946961104 7283.256286836822255 1.143695778531903 7285.684443602739520 1.157946359504700 7288.113409889166178 1.158493710240246 7290.543185965979319 1.158895432535744 7292.973772103154261 1.158113609182735 7295.405168570748174 1.157260900041774 7297.837375638931007 1.151873255902269 7300.270393577940922 1.145976086076148 7302.704222658113395 1.139808567180897 7305.138863149873032 1.133593958667144 7307.574315323729934 1.136518959068156 7310.010579450302430 1.141524001388734 7312.447655800280700 1.147188588121366 7314.885544644450420 1.153046608337596 7317.324246253680030 1.154810716728703 7319.763760898952569 1.155103774659192 7322.204088851317465 1.155006271730392 7324.645230381921465 1.154739898856567 7327.087185761995897 1.151595625924464 7329.529955262883050 1.146982122992440 7331.973539155996150 1.142141045672352 7334.417937712842104 1.137164173453112 7336.863151205016038 1.138020951417892 7339.309179904220400 1.142863092675259 7341.756024082231306 1.148147413708117 7344.203684010917641 1.153776458226210 7346.652159962236510 1.156995324693806 7349.101452208255068 1.158091179102649 7351.551561021108682 1.159008168858696 7354.002486673032763 1.159748069033572 7356.454229436343667 1.156551027130952 7358.906789583473255 1.148997357794292 7361.360167386920693 1.141375813246452 7363.814363119282461 1.133671311701169 7366.269377053240532 1.132259123258712 7368.725209461588747 1.139422983550579 7371.181860617190978 1.147104809328789 7373.639330793006593 1.155563870027224 7376.097620262081364 1.161454630207675 7378.556729297573838 1.163103325286036 7381.016658172709867 1.164529912411272 7383.477407160816256 1.165554714822773 7385.938976535308029 1.164378634234514 7388.401366569686616 1.158865607307912 7390.864577537565310 1.153404007355070 7393.328609712627440 1.148054586954395 7395.793463368653647 1.143111206722913 7398.259138779509158 1.139110754406204 7400.725636219171975 1.135146389961058 7403.192955961691951 1.131274117659495 7405.661098281214436 1.128180308523043 7408.130063451970273 1.127174163037427 7410.599851748303990 1.126246668244092 7413.070463444628331 1.125544835007037 7415.541898815456079 1.125463313148269 7418.014158135384605 1.127268205891189 7420.487241679123144 1.128909347357034 7422.961149721451875 1.130023064043651 7425.435882537249199 1.132042083381062 7427.911440401478103 1.137115332422775 7430.387823589216168 1.142254968145175 7432.865032375608280 1.147624146854695 7435.343067035900276 1.151087947124247 7437.821927845422579 1.147592018593340 7440.301615079618387 1.143887763923570 7442.782129014001839 1.139404362151371 7445.263469924184392 1.133387259522030 7447.745638085863902 1.121494020561261 7450.228633774851914 1.109425416127038 7452.712457267029095 1.096687242021009 7455.197108838375243 1.087269604024854 7457.682588764963839 1.090818610519473 7460.168897322952034 1.094992094492864 7462.656034788609759 1.101589698296276 7465.144001438279702 1.106945091068529 7467.632797548400958 1.107521655846140 7470.122423395500846 1.107948787192832 7472.612879256217639 1.107812452799108 7475.104165407263281 1.106669750748367 7477.596282125445214 1.101838389454295 7480.089229687659099 1.096880925571549 7482.583008370913376 1.091481086684707 7485.077618452287425 1.086084697525903 7487.573060208959760 1.080704338200472 7490.069333918195298 1.075599621693108 7492.566439857371734 1.071391219208003 7495.064378303937701 1.066138794608822 7497.563149535442790 1.057687093133746 7500.062753829520261 1.049083993663067 7502.563191463918884 1.040048649554889 7505.064462716457456 1.026838060528732 7507.566567865054822 1.002318645137823 7510.069507187716226 0.977215006915456 7512.573280962559693 0.950646427828342 7515.077889467776004 0.914620038176220 7517.583332981654166 0.856379574285456 7520.089611782569591 0.796526124899689 7522.596726149012284 0.733187044563991 7525.104676359544101 0.668327972396448 7527.613462692825124 0.600441483201493 7530.123085427601836 0.532266437353696 7532.633544842737138 0.463578699240840 7535.144841217163048 0.411291821998619 7537.656974829912542 0.386692703359695 7540.169945960111363 0.364564033605319 7542.683754886969837 0.346242643949086 7545.198401889818342 0.338884510245233 7547.713887248050924 0.346870269907168 7550.230211241168945 0.356574788916874 7552.747374148753806 0.368456751455663 7555.265376250507870 0.380208023564329 7557.784217826199892 0.391809350187387 7560.303899155701401 0.403638105690098 7562.824420518969418 0.415700172547915 7565.345782196078289 0.427855734074176 7567.867984467170572 0.440097354975315 7570.391027612490689 0.452351288355423 7572.914911912369462 0.464616007876005 7575.439637647254131 0.485395959428503 7577.965205097661965 0.512295229523404 7580.491614544212098 0.540588960749969 7583.018866267607336 0.569762844902840 7585.546960548670540 0.605280746568577 7588.075897668291873 0.644259920529111 7590.605677907466088 0.684819638603444 7593.136301547270705 0.726123542386153 7595.667768868903295 0.757382448899418 7598.200080153627823 0.784701153401769 7600.733235682813756 0.810290501081371 7603.267235737915144 0.835324901038770 7605.802080600502450 0.858458739938490 7608.337770552217989 0.881104167549809 7610.874305874805032 0.903436260770506 7613.411686850092337 0.925711696950211 7615.949913760026902 0.944625684965974 7618.488986886626662 0.963062755157539 7621.028906512010508 0.979895165778170 7623.569672918391916 0.996587190620345 7626.111286388069857 0.999035990883167 7628.653747203462444 1.000884659974293 7631.197055647056914 0.999939967010367 7633.741212001443273 0.999192136683102 7636.286216549297933 1.002071295084724 7638.832069573414628 1.005015486669944 7641.378771356657126 1.008543908642686 7643.926322181993783 1.010947083549665 7646.474722332477540 1.006849879941736 7649.023972091278665 1.002478905890263 7651.574071741641092 0.997000602757488 7654.125021566907890 0.991463303335101 7656.676821850510350 0.985751612653419 7659.229472875997089 0.980440178612320 7661.782974926989482 0.976059252963019 7664.337328287208948 0.976164819811607 7666.892533240465127 0.984419881800489 7669.448590070684986 0.993659652217017 7672.005499061867340 1.004314646862007 7674.563260498112868 1.013051132774619 7677.121874663609560 1.019591909666584 7679.681341842663642 1.025706531406562 7682.241662319653187 1.031434073428610 7684.802836379056316 1.029608574023595 7687.364864305442097 1.022374016891913 7689.927746383495105 1.014321408961364 7692.491482897972674 1.005812970734870 7695.056074133733091 1.003815414565161 7697.621520375732871 1.004553743561612 7700.187821909012200 1.006747064925817 7702.754979018732229 1.009383701385865 7705.322991990124137 1.015577228649018 7707.891861108523699 1.022498306595928 7710.461586659352179 1.030159944501463 7713.032168928149986 1.037910173105568 7715.603608200530289 1.039564653193577 7718.175904762208120 1.040912193595385 7720.749058898986732 1.040081511894783 7723.323070896788522 1.038754338159394 7725.897941041605009 1.032874361406128 7728.473669619534121 1.026780489787500 7731.050256916761100 1.019637412322514 7733.627703219586692 1.014258244484939 7736.206008814388042 1.014482937555904 7738.785173987642338 1.015202627751046 7741.365199025915899 1.017013353623963 7743.946084215894189 1.019214715052958 7746.527829844334519 1.022037570131470 7749.110436198096977 1.024966677446448 7751.693903564130778 1.028019959737739 7754.278232229502464 1.027149288566435 7756.863422481353155 1.022895456925562 7759.449474606924923 1.018182793860571 7762.036388893548974 1.013181672565149 7764.624165628676565 1.009047766537018 7767.212805099831712 1.005296942222725 7769.802307594638478 1.001787839078441 7772.392673400813692 0.998348843438872 7774.983902806190599 0.996203386290857 7777.575996098676114 0.994277947120708 7780.168953566279924 0.992712629794897 7782.762775497109033 0.991269798187932 7785.357462179357753 0.994577435996654 7787.953013901339546 0.998049881404920 7790.549430951443355 1.002916591240936 7793.146713618157264 1.007310022742597 7795.744862190063031 1.009695925154747 7798.343876955857013 1.011915577244106 7800.943758204312871 1.013703108148717 7803.544506224305223 1.014878390458339 7806.146121304798726 1.014996736082453 7808.748603734876269 1.014926229188261 7811.351953803696233 1.014630931384416 7813.956171800519769 1.013451648730741 7816.561258014694431 1.011541621807974 7819.167212735692374 1.009185593156382 7821.774036253054874 1.006577927924969 7824.381728856430527 1.007847516341593 7826.990290835552514 1.010529827077107 7829.599722480279524 1.014278208007111 7832.210024080538460 1.018249709279780 7834.821195926364453 1.022647884272016 7837.433238307878128 1.027085110293234 7840.046151515323800 1.031634205257413 7842.659935839016725 1.035285822310409 7845.274591569376753 1.032253925870100 7847.890118996913770 1.028791685844339 7850.506518412257719 1.023787466435047 7853.123790106112210 1.019122760971604 7855.741934369284536 1.015186534446802 7858.360951492680215 1.011542881307149 7860.980841767292077 1.008303377764338 7863.601605484236643 1.008799778517085 7866.223242934700465 1.012700852151985 7868.845754409977417 1.017798397679841 7871.469140201449591 1.023607214658630 7874.093400600620043 1.026056660536120 7876.718535899064591 1.027281702017607 7879.344546388466370 1.027453552361440 7881.971432360595827 1.027423966197355 7884.599194107344374 1.021915456879593 7887.227831920678000 1.016030109003988 7889.857346092668195 1.008969363385331 7892.487736915474670 1.002964055389107 7895.119004681379010 1.002257061639460 7897.751149682737378 1.002045160218840 7900.384172212007797 1.003121474557403 7903.018072561742883 1.003109796800164 7905.652851024613483 1.001397567063921 7908.288507893364113 0.999275672576646 7910.925043460845700 0.996750419721789 7913.562458019999212 0.998994021752009 7916.200751863886580 1.004175620972732 7918.839925285643403 1.010809948745629 7921.479978578511691 1.017969677576772 7924.120912035820766 1.014271515832010 7926.762725951026368 1.008689705069676 7929.405420617653363 0.999382667569618 7932.048996329335750 0.989677027390268 7934.693453379795756 0.977116780538808 7937.338792062877474 0.964351430588784 7939.985012672499579 0.950831349519575 7942.632115502687157 0.942513952293078 7945.280100847562608 0.944616102865806 7947.928969001338373 0.948885361930091 7950.578720258348767 0.955737126647752 7953.229354913002680 0.963427512993300 7955.880873259816326 0.971724426987692 7958.533275593393228 0.980510608344484 7961.186562208460600 0.989502130411515 7963.840733399822057 0.990916919101420 7966.495789462383982 0.990811299669281 7969.151730691144621 0.987931253028090 7971.808557381225000 0.984112231475058 7974.466269827819815 0.971929392789143 7977.124868326231081 0.959106578182270 7979.784353171849943 0.944024016287707 7982.444724660190332 0.934080370476329 7985.105983086842571 0.933633095577094 7987.768128747500668 0.935465844082566 7990.431161937951401 0.939732221362252 7993.095082954102509 0.945829581783629 7995.759892091938127 0.953062442218056 7998.425589647546985 0.961022616445097 8001.092175917111490 0.969224114147525 8003.759651196933191 0.967804200749800 8006.428015783391857 0.965083370199412 8009.097269972970935 0.958902350207132 8011.767414062247553 0.952860336970582 8014.438448347918893 0.947536612055373 8017.110373126760351 0.942279144402149 8019.783188695651006 0.937176256337323 8022.456895351562707 0.932469394257996 8025.131493391590084 0.928259357780588 8027.806983112903254 0.924213678899554 8030.483364812778746 0.920283952190699 8033.160638788591314 0.917356702635893 8035.838805337808481 0.914802524036181 8038.517864758019641 0.912662899463403 8041.197817346891497 0.910502137387374 8043.878663402196253 0.903876626776667 8046.560403221796150 0.896988641794984 8049.243037103679853 0.888773354078056 8051.926565345908784 0.882849225869680 8054.610988246654415 0.881989263273488 8057.296306104175528 0.882382692624005 8059.982519216859146 0.884246116244894 8062.669627883163230 0.885461984286174 8065.357632401657611 0.886264030084380 8068.046533070999430 0.886772695044957 8070.736330189972250 0.887189328295473 8073.427024057435119 0.874724131884816 8076.118614972353498 0.860688105869334 8078.811103233784706 0.841846018505668 8081.504489140910664 0.823406163318754 8084.198772992987870 0.806402936046454 8086.893955089381052 0.789703484780432 8089.590035729547708 0.773511723766542 8092.287015213068116 0.759676824262467 8094.984893839598044 0.747909214610842 8097.683671908903307 0.737281742858362 8100.383349720837941 0.727163549505435 8103.083927575384223 0.718947939530120 8105.785405772597187 0.711075524148169 8108.487784612641008 0.704037871485669 8111.191064395780813 0.697658471925463 8113.895245422372682 0.694490596219604 8116.600327992896382 0.691792851985775 8119.306312407909900 0.690039043462134 8122.013198968077631 0.685129825361390 8124.720987974155832 0.677014955431306 8127.429679727028088 0.667250839101531 8130.139274527649832 0.656637676273546 8132.849772677089277 0.649973833320207 8135.561174476502856 0.644138804559525 8138.273480227175241 0.640162576803952 8140.986690230463864 0.637217237427209 8143.700804787838933 0.639585924970058 8146.415824200857969 0.642789325940447 8149.131748771207640 0.647687850303179 8151.848578800649193 0.647147127765741 8154.566314591052105 0.641164843322301 8157.284956444379532 0.632287283368366 8160.004504662718318 0.621989444907993 8162.724959548232619 0.606319843390949 8165.446321403195725 0.589604964795478 8168.168590529971880 0.570319011671151 8170.891767231052654 0.552285335917253 8173.615851809005107 0.539558081042203 8176.340844566505439 0.527832146479252 8179.066745806320796 0.517835157500332 8181.793555831347476 0.513797502958251 8184.521274944555444 0.514757021705997 8187.249903449024714 0.519076908975305 8189.979441647928070 0.524692819188825 8192.709889844563804 0.530925736241015 8195.441248342305698 0.537251461485776 8198.173517444640311 0.543840892722107 8200.906697455151516 0.547890481908769 8203.640788677519595 0.544786817815656 8206.375791415544882 0.539821648789224 8209.111705973113203 0.532529269510231 8211.848532654212249 0.522052565348558 8214.586271762926117 0.509686350353770 8217.324923603464413 0.495491442868048 8220.064488480114960 0.480870374785223 8222.804966697271084 0.475874113752849 8225.546358559424334 0.471677802022743 8228.288664371189952 0.470933833692264 8231.031884437259578 0.472473896239615 8233.776019062435807 0.477863558695606 8236.521068551614007 0.484781647342698 8239.267033209818692 0.492895140140268 8242.013913342145315 0.497163675736598 8244.761709253803929 0.500159985225576 8247.510421250097352 0.500968784180370 8250.260049636453914 0.501598318826779 8253.010594718380162 0.501933722124836 8255.762056801491781 0.502227875610855 8258.514436191500863 0.502437298889130 8261.267733194239554 0.503483375281166 8264.021948115623672 0.505295551419529 8266.777081261678177 0.507636057752403 8269.533132938520794 0.510185092610178 8272.290103452392941 0.517194925387106 8275.047993109619711 0.524881371318005 8277.806802216631695 0.534598958477365 8280.566531079954075 0.542419953757794 8283.327180006242997 0.546020754923331 8286.088749302225551 0.548152011768350 8288.851239274745240 0.548871154115445 8291.614650230745610 0.538535529448260 8294.378982477261161 0.523700366507750 8297.144236321459175 0.502017822661183 8299.910412070579696 0.480855770549637 8302.677510031977363 0.468706467084384 8305.445530513099584 0.458145355985149 8308.214473821519277 0.450966694670026 8310.984340264887578 0.451974123225420 8313.755130150970217 0.460391264622528 8316.526843787623875 0.474406217077430 8319.299481482830743 0.490482704892346 8322.073043544656684 0.508932318386872 8324.847530281273066 0.527725423867927 8327.622942000949479 0.547583277202133 8330.399279012079205 0.565121631025341 8333.176541623139201 0.578462470716071 8335.954730142711924 0.589931315453499 8338.733844879476237 0.599969469112848 8341.513886142240153 0.602145585762432 8344.294854239889901 0.602082054902908 8347.076749481420848 0.596870184406253 8349.859572175922949 0.591109963566729 8352.643322632618947 0.583405681096340 8355.428001160802523 0.575169916807429 8358.213608069883776 0.566199072576502 8361.000143669365571 0.569656112260104 8363.787608268879922 0.580254319833250 8366.576002178138879 0.599497788794531 8369.365325706961812 0.620437337936786 8372.155579165273593 0.643898145287232 8374.946762863093682 0.667772305087344 8377.738877110572503 0.692652254300335 8380.531922217933243 0.719720016474336 8383.325898495517322 0.748899156605981 8386.120806253757110 0.779723780409711 8388.916645803214124 0.811163312942589 8391.713417454529917 0.826737394093965 8394.511121518457003 0.839945571991199 8397.309758305840660 0.845754181161567 8400.109328127660774 0.845312647973039 8402.909831294968171 0.835482741190799 8405.711268118933731 0.820305750125597 8408.513638910817463 0.801918153554434 8411.316943982012162 0.799803986660113 8414.121183643987024 0.801364379145701 8416.926358208324018 0.812675626137977 8419.732467986699703 0.827009747234404 8422.539513290925242 0.848154709903675 8425.347494432880922 0.872269849157134 8428.156411724567079 0.898950113601549 8430.966265478076821 0.920474182954056 8433.777056005634222 0.940439309472069 8436.588783619539754 0.956575000212510 8439.401448632206666 0.970504875753510 8442.215051356146432 0.977114538746085 8445.029592103997857 0.981164841564390 8447.845071188479778 0.982271831923766 8450.661488922421995 0.986104000289317 8453.478845618752530 0.991105617739646 8456.297141590526735 0.998125425913037 8459.116377150881817 1.005101046985295 8461.936552613065942 1.011190905653687 8464.757668290430956 1.017020169887422 8467.579724496425115 1.022473887657333 8470.402721544627639 1.031336187682943 8473.226659748697784 1.042042834805071 8476.051539422405767 1.055519265621084 8478.877360879618209 1.068914890761993 8481.704124434332698 1.079432837927746 8484.531830400623221 1.089133908746204 8487.360479092683818 1.097452644709492 8490.190070824797658 1.107456625848118 8493.020605911378880 1.118517749501212 8495.852084666927112 1.131000981091577 8498.684507406049306 1.143884020689421 8501.517874443448818 1.158173348011682 8504.352186093963610 1.172795851101580 8507.187442672508041 1.188033172794779 8510.023644494109249 1.197823644935241 8512.860791873894414 1.203938203599897 8515.698885127118047 1.205447966551655 8518.537924569116512 1.206143363447596 8521.377910515335316 1.207116131855882 8524.218843281323643 1.208202005717858 8527.060723182756192 1.209502860832820 8529.903550535389513 1.212271280883424 8532.747325655091117 1.216036580042754 8535.592048857830378 1.221107938501584 8538.437720459703996 1.226812721881391 8541.284340776886893 1.236055409074648 8544.131910125674040 1.246194198079257 8546.980428822458634 1.257956894219211 8549.829897183735739 1.269070146178312 8552.680315526129561 1.279770298383530 8555.531684166346167 1.289366901460393 8558.384003421202578 1.298934300497477 8561.237273607614043 1.309477157926451 8564.091495042630413 1.320282938454821 8566.946668043376121 1.331511396411301 8569.802792927095652 1.336650186386151 8572.659870011124440 1.338387325553399 8575.517899612932524 1.334439019896557 8578.376882050073618 1.330361642101071 8581.236817640210575 1.328795967398902 8584.097706701104471 1.327736647573436 8586.959549550649172 1.327361185963642 8589.822346506820395 1.324472461313184 8592.686097887704818 1.320447795130447 8595.550804011490982 1.314054237167631 8598.416465196492936 1.308485623159119 8601.283081761112044 1.306287604831627 8604.150654023860625 1.305518816183362 8607.019182303347407 1.306268942582889 8609.888666918317540 1.314671783832845 8612.759108187592574 1.325756751599421 8615.630506430110472 1.344393216425906 8618.502861964907424 1.363806763391658 8621.376175111150587 1.385115098424536 8624.250446188088972 1.407699971841438 8627.125675515086186 1.431288917066301 8630.001863411602244 1.443924362264570 8632.879010197231764 1.453366565544603 8635.757116191649402 1.454383752969421 8638.636181714644408 1.449506476012492 8641.516207086113354 1.434894191314408 8644.397192626049218 1.413008192795854 8647.279138654581402 1.387226727286302 8650.162045491913887 1.376000063603086 8653.045913458372524 1.367969228524986 8655.930742874375937 1.367978247671012 8658.816534060479171 1.373021281648172 8661.703287337319125 1.383511080807613 8664.591003025643658 1.399817205240521 8667.479681446302493 1.417747730197489 8670.369322920276318 1.429853223863280 8673.259927768627676 1.440524028536420 8676.151496312537347 1.448115314665796 8679.044028873278876 1.446616853505488 8681.937525772262234 1.439041321821307 8684.831987330981065 1.419924442124701 8687.727413871041790 1.400006624366694 8690.623805714147238 1.383904591120561 8693.521163182138480 1.369366297136461 8696.419486596932984 1.356748691389001 8699.318776280570091 1.352332612429343 8702.219032555181911 1.351060756845877 8705.120255743036978 1.358196151808066 8708.022446166485679 1.366279427660648 8710.925604147992999 1.376495331660191 8713.829730010122148 1.388746512415502 8716.734824075572760 1.402381771142128 8719.640886667124505 1.420045349058827 8722.547918107671649 1.438999581643918 8725.455918720210320 1.461551118615259 8728.364888827869436 1.482000911274977 8731.274828753857946 1.500037353670880 8734.185738821503037 1.515323174983671 8737.097619354239214 1.528788192864574 8740.010470675599208 1.524568955260881 8742.924293109252176 1.515166225371208 8745.839086978947307 1.495904031526637 8748.754852608550209 1.474793000994395 8751.671590322024713 1.452636317592511 8754.589300443471075 1.425963090485646 8757.507983297073224 1.399966458243662 8760.427639207124230 1.377256855398858 8763.348268498026300 1.356436004529450 8766.269871494308973 1.337289643513457 8769.192448520585458 1.330899625944452 8772.115999901587202 1.328766875907208 8775.040525962145693 1.337637498572230 8777.966027027225209 1.349760128809053 8780.892503421871879 1.366206781947282 8783.819955471250069 1.385449310496636 8786.748383500624186 1.405132821839275 8789.677787835391428 1.407769950901913 8792.608168801032662 1.405375652579451 8795.539526723146992 1.393086431140345 8798.471861927429927 1.380311486619631 8801.405174739717040 1.367263345220970 8804.339465485920300 1.353618846579836 8807.274734492073549 1.340391614385807 8810.210982084308853 1.328498159360637 8813.148208588892885 1.318290212144785 8816.086414332177810 1.309400591840344 8819.025599640626751 1.294902796463469 8821.965764840819247 1.278788152652978 8824.906910259429424 1.259129087054965 8827.849036223269650 1.246465753760548 8830.792143059234149 1.241114605038326 8833.736231094335380 1.245930700230168 8836.681300655684026 1.252175650107850 8839.627352070529014 1.249657212769013 8842.574385666201124 1.243503168885170 8845.522401770145734 1.232440741859660 8848.471400709913723 1.212698346117888 8851.421382813188757 1.189282142395541 8854.372348407736354 1.155259368892338 8857.324297821443906 1.129808114413934 8860.277231382295213 1.118923275854129 8863.231149418414134 1.122934567490697 8866.186052258002746 1.133731081646883 8869.141940229383181 1.146827786234697 8872.098813660979431 1.160635623092944 8875.056672881350096 1.175921375108856 8878.015518219139267 1.178938324888357 8880.975350003105632 1.175169286777156 8883.936168562111561 1.158966762489295 8886.897974225154030 1.144612555360742 8889.860767321315507 1.136012326825489 8892.824548179791236 1.132132435550817 8895.789317129883784 1.131286425133448 8898.755074501030322 1.129239830443829 8901.721820622751693 1.126786872881703 8904.689555824681520 1.123410855573103 8907.658280436564382 1.113884836240776 8910.627994788272190 1.099940917164746 8913.598699209767801 1.075187482708570 8916.570394031128671 1.048631134886243 8919.543079582541395 1.019778083970869 8922.516756194296249 0.988282707622055 8925.491424196819935 0.954739833262936 8928.467083920622827 0.928397162053895 8931.443735696333533 0.904713696943919 8934.421379854680708 0.887307607488915 8937.400016726533067 0.869741497754746 8940.379646642841180 0.852045312026048 8943.360269934673852 0.834133789913341 8946.341886933205387 0.815789631519453 8949.324497969741060 0.796010574728551 8952.308103375675273 0.774824265914562 8955.292703482517027 0.752495525047652 8958.278298621884460 0.740118499477969 8961.264889125523041 0.731562402725041 8964.252475325271007 0.731932325058429 8967.241057553081191 0.731178999243849 8970.230636141008290 0.729539418637274 8973.221211421247062 0.726135945865408 8976.212783726074122 0.723028453428873 8979.205353387886134 0.721550930774584 8982.198920739183450 0.720400998720330 8985.193486112599203 0.719494050851514 8988.189049840857479 0.723576319839368 8991.185612256796958 0.729590969263090 8994.183173693360004 0.739873868187974 8997.181734483627224 1.093936463560778 9000.181294960762898 1.679745481748807 9003.181855458051359 1.724866400602625 9006.183416308880624 1.738464166568219 9009.185977846773312 1.758932370221931 9012.189540405341177 1.786268889063211 9015.194104318310565 1.817661220827553 9018.199669919522421 1.836292621961535 9021.206237542921372 1.850042193494345 9024.213807522586649 1.854170310132174 9027.222380192682976 1.843688767307133 9030.231955887498771 1.825544300217138 9033.242534941420672 1.783244214233668 9036.254117688977203 1.742218028997454 9039.266704464776922 1.703404052022742 9042.280295603553895 1.667436904869557 9045.294891440140418 1.632811618342522 9048.310492309512483 1.601246101477652 9051.327098546726120 1.571020261887780 9054.344710486959229 1.542649215545350 9057.363328465495215 1.520159077377859 9060.382952817752084 1.500507877952156 9063.403583879235157 1.488535657257710 9066.425221985569806 1.485326465130236 9069.447867472485086 1.491556260978734 9072.471520675848296 1.515639440504889 9075.496181931612227 1.542972300098486 9078.521851575849723 1.569357856161345 9081.548529944739130 1.594714483549828 9084.576217374593398 1.619234596269429 9087.604914201814609 1.638995242539812 9090.634620762924897 1.656588990358935 9093.665337394548260 1.669565788601459 9096.697064433450578 1.661411828847354 9099.729802216479584 1.640786896735280 9102.763551080608522 1.579919375162249 9105.798311362917957 1.521911273111894 9108.834083400595773 1.469931426907885 9111.870867530968098 1.426297982256476 9114.908664091446553 1.387977205029985 9117.947473419562812 1.372990507775176 9120.987295852955867 1.372027441779269 9124.028131729399320 1.388693249567039 9127.069981386755899 1.392524015809717 9130.112845163008387 1.389840687085796 9133.156723396243251 1.370771662235711 9136.201616424688837 1.358045495730574 9139.247524586657164 1.350672966687595 9142.294448220582126 1.356861166046056 9145.342387664999478 1.364467078813876 9148.391343258592315 1.372289853855635 9151.441315340120127 1.380167898363575 9154.492304248471555 1.388360273958791 9157.544310322633464 1.410149167259328 9160.597333901736420 1.439021014611960 9163.651375324998298 1.478872411727834 9166.706434931757030 1.516153217872834 9169.762513061450591 1.552027803906482 9172.819610053666111 1.584025764535638 9175.877726248068939 1.601339988469356 9178.936861984451753 1.604685801429840 9181.997017602707274 1.574094641464476 9185.058193442873744 1.542626788436024 9188.120389845069440 1.520688404093797 9191.183607149541785 1.509868116852253 9194.247845696636432 1.505520376527117 9197.313105826844549 1.513851681533061 9200.379387880739159 1.529099987544632 9203.446692199020617 1.554829204027093 9206.515019122500235 1.562513454025425 9209.584368992091186 1.560013558220892 9212.654742148853984 1.530752426509499 9215.726138933930997 1.502135385470962 9218.798559688590103 1.474067735923127 9221.872004754197405 1.447661699465606 9224.946474472271802 1.424556849736239 9228.021969184406771 1.408678158539550 9231.098489232324937 1.402875529747825 9234.176034957852607 1.402263324211995 9237.254606702959791 1.409624087168089 9240.334204809700168 1.422571705190406 9243.414829620249293 1.442102124502975 9246.496481476891859 1.445268846544403 9249.579160722050801 1.438952275825975 9252.662867698236369 1.411267513338653 9255.747602748084319 1.371138670164957 9258.833366214332273 1.323113119276976 9261.920158439861552 1.246479336093411 9265.007979767640791 1.175367319170532 9268.096830540760493 1.112523389870320 9271.186711102418485 1.065852961784449 9274.277621795950836 1.025108405944323 9277.369562964784564 0.991834140377588 9280.462534952466740 0.966515894336077 9283.556538102653576 0.947048212015640 9286.651572759143164 0.923490564458752 9289.747639265815451 0.897523813333445 9292.844737966679531 0.867577446294282 9295.942869205857278 0.833213667411925 9299.042033327576064 0.796083816850523 9302.142230676206964 0.751565442481723 9305.243461596206544 0.710056707084817 9308.345726432155061 0.670984541803237 9311.449025528740094 0.640006750522857 9314.553359230792921 0.614028222713936 9317.658727883226675 0.596597671454514 9320.765131831085455 0.594437000856561 9323.872571419513406 0.598490985271166 9326.981046993802011 0.608728406409673 9330.090558899328244 0.625204477606435 9333.201107481592771 0.646787129846833 9336.312693086203581 0.656512491445773 9339.425316058908720 0.658580863154964 9342.538976745549007 0.647817495397031 9345.653675492083494 0.627374610635900 9348.769412644584008 0.600549282152810 9351.886188549258804 0.556824364264974 9355.004003552408903 0.519243640749412 9358.122858000459019 0.486317226263234 9361.242752239937545 0.470639834126389 9364.363686617518397 0.467035411120463 9367.485661479962801 0.482229975454736 9370.608677174157492 0.537052956786560 9373.732734047094709 0.601200813081273 9376.857832445908571 0.660551149847002 9379.983972717825964 0.713797444346614 9383.111155210193829 0.762756089393934 9386.239380270468246 0.793015333852334 9389.368648246248995 0.809295571724711 9392.498959485223168 0.807105283618684 9395.630314335201547 0.807994408766295 9398.762713144113150 0.811051054030281 9401.896156259992495 0.818737032056762 9405.030644031019619 0.820770042659797 9408.166176805463692 0.818762299851854 9411.302754931712116 0.803197946373055 9414.440378758268707 0.781174343414053 9417.579048633773709 0.752700069188636 9420.718764906961951 0.703395062996973 9423.859527926688315 0.653011868081785 9427.001338041918643 0.604258789477973 9430.144195601760657 0.558993883360111 9433.288100955413029 0.516842502661950 9436.433054452196302 0.484239670676911 9439.579056441541979 0.464011018182772 9442.726107273023445 0.452702484768468 9445.874207296305030 0.471586963170352 9449.023356861174761 0.514365968297586 9452.173556317527982 0.588459661463174 9455.324806015409195 0.649680476037213 9458.477106304942936 0.700937829978136 9461.630457536388349 0.731976232444526 9464.784860060106439 0.742816709163800 9467.940314226605551 0.738335014304071 9471.096820386483159 0.687375791678043 9474.254378890462249 0.646043790536519 9477.412990089371306 0.612513711855376 9480.572654334187973 0.611988421750526 9483.733371975975388 0.620101627803699 9486.895143365925833 0.639811436532377 9490.057968855337094 0.690306450477034 9493.221848795652477 0.746184532160231 9496.386783538406235 0.799951047848856 9499.552773435256313 0.849619667281865 9502.719818837978892 0.892846767085489 9505.887920098461109 0.903085959057095 9509.057077568730165 0.872312531042291 9512.227291600906028 0.808555213353359 9515.398562547237816 0.745384939693057 9518.570890760074690 0.682565482872132 9521.744276591918606 0.620228291041567 9524.918720395358832 0.576497548936708 9528.094222523111966 0.548666509492717 9531.270783328000107 0.552275511145441 9534.448403162994509 0.559041479179019 9537.627082381155560 0.568410841012376 9540.806821335669156 0.585127783242630 9543.987620379828513 0.605068661984459 9547.169479867077825 0.627617419632447 9550.352400150944959 0.662083146196074 9553.536381585088748 0.686406812292816 9556.721424523275346 0.699427194464924 9559.907529319416426 0.671508298259779 9563.094696327516431 0.642693127895975 9566.282925901701674 0.619439871256944 9569.472218396214885 0.610870476946448 9572.662574165437036 0.609838057556040 9575.853993563843687 0.620879760846247 9579.046476946037728 0.656091813213640 9582.240024666729369 0.701183697669624 9585.434637080776156 0.734925057484384 9588.630314543126588 0.752692838536169 9591.827057408854671 0.758137380567520 9595.024866033154467 0.755692351340620 9598.223740771329176 0.745266475145701 9601.423681978827517 0.725374354270169 9604.624690011189159 0.719689475091402 9607.826765224081100 0.727337341718187 9611.029907973281297 0.756783904390965 9614.234118614713225 0.784798214371201 9617.439397504391309 0.810793511822611 9620.645744998455484 0.831775030135672 9623.853161453158464 0.836109070097137 9627.061647224898479 0.825136807198996 9630.271202670164712 0.768025934531940 9633.481828145575491 0.720124870906141 9636.693524007856468 0.680282016667027 9639.906290613880628 0.674806694026105 9643.120128320613730 0.677640454643220 9646.335037485150679 0.688552102161327 9649.551018464690060 0.739734984007659 9652.768071616585075 0.787917457563658 9655.986197298276238 0.829589780561413 9659.205395867331390 0.847511723415880 9662.425667681431150 0.864572935816796 9665.647013098403477 0.887054344450667 9668.869432476163638 0.924359303114697 9672.092926172761508 0.965414217808892 9675.317494546350645 1.005475682041029 9678.543137955235579 1.047774314507280 9681.769856757811795 1.088748872662793 9684.997651312605740 1.117839063450621 9688.226521978251185 1.124475746740455 9691.456469113527419 1.117058258192583 9694.687493077311956 1.105549734863908 9697.919594228606002 1.088131690987773 9701.152772926528996 1.065659995711189 9704.387029530318614 1.028506482918786 9707.622364399352591 0.972905246064939 9710.858777893103252 0.896535041738158 9714.096270371173887 0.839187858954471 9717.334842193273289 0.802400679037467 9720.574493719263046 0.794506417657755 9723.815225309097514 0.817624493880097 9727.057037322854740 0.876199830223535 9730.299930120727367 0.996385407252149 9733.543904063057198 1.087322529738719 9736.788959510275163 1.144288602422020 9740.035096822943160 1.128353161355122 9743.282316361732228 1.120415854260714 9746.530618487466199 1.123532038846905 9749.780003561056219 1.158159692083644 9753.030471943546218 1.190071545947907 9756.282023996089265 1.218929531794474 9759.534660079985770 1.237666125458286 9762.788380556634365 1.246019214279183 9766.043185787557377 1.243635697341938 9769.299076134389907 1.198613148456930 9772.556051958916214 1.151568580132623 9775.814113623015146 1.103230029211401 9779.073261488692879 1.060844055091132 9782.333495918066546 1.017859788473370 9785.594817273402441 0.974313891575540 9788.857225917063261 0.929315331898422 9792.120722211535394 0.891236648339620 9795.385306519423466 0.861010825989647 9798.650979203473980 0.872681279886081 9801.917740626533487 0.896645492086641 9805.185591151574044 0.934054872660583 9808.454531141691405 1.029388501252527 9811.724560960090457 1.131181018460969 9814.995680970125250 1.233429036160172 9818.267891535248054 1.326337690419847 9821.541193019033017 1.406992554098245 9824.815585785174335 1.467194018781825 9828.091070197511726 1.446152072397853 9831.367646619979496 1.402955023952281 9834.645315416639278 1.348143007744923 9837.924076951667303 1.253725032712090 9841.203931589390777 1.154532544648361 9844.484879694227857 1.069593960737299 9847.766921630729485 1.047511155797359 9851.050057763553923 1.044993163657012 9854.334288457517687 1.042842173463601 9857.619614077522783 1.042236192781474 9860.906034988605825 1.043954895402087 9864.193551555916201 1.051815067921799 9867.482164144752460 1.077877025494714 9870.771873120505916 1.111818184529217 9874.062678848698852 1.147811814729024 9877.354581694966328 1.197965908142408 9880.647582025099837 1.254373420441184 9883.941680204972727 1.310378304530991 9887.236876600598407 1.363590992883479 9890.533171578099427 1.415528494517981 9893.830565503751131 1.467862436374954 9897.129058743917994 1.518979478190321 9900.428651665104553 1.564436716397072 9903.729344633928122 1.581624098562554 9907.031138017124249 1.522285986000585 9910.334032181577641 1.423298562683259 9913.638027494265771 1.339111756716310 9916.943124322300719 1.285344725397414 9920.249323032907341 1.249583409940805 9923.556623993457833 1.217833694079487 9926.865027571420796 1.197841792776583 9930.174534134397618 1.185312632404562 9933.485144050098825 1.176600209932465 9936.796857686393196 1.178255784152236 9940.109675411238641 1.181838255183186 9943.423597592724036 1.156168620063387 9946.738624599052855 1.064682200535944 9950.054756798583185 0.936316811870669 9953.371994559764062 0.823627925987830 9956.690338251177309 0.757209551065006 9960.009788241515707 0.719122571178250 9963.330344899628471 0.688489812146052 9966.652008594457584 0.679805218603360 9969.974779695075995 0.685335183793396 9973.298658570667612 0.700933877405493 9976.623645590578235 0.750588957426180