SN 2002bf Ia in PGC 029953


Geoffrey Chaucer with an astrolabe.

OBJ:   SN 2002bf Ia in PGC 029953 (SBb galaxy) which in Leda is
       Leda:  PGC 029953.
DISCOVERY:  2002feb22.30 UT by Martin & Li (2002)
MAX:  2002mar04.37 (JD 2452337.87) in B leonard2005b (p. 458).
           See the US Navy Observatory 
           Julian Date Converter.
           But sometimes USNO can't be reached and one can try this
           Commercial Julian Date Converter.
           This day of the year 63.
SUPERNOVA of the YEAR:  M = 58.

HEADER: Header Common header information for this supernovae.
        The common header may (or may not) be updated relative to the header information above
        (D. J. Jeffery (2007jan01)).

COMMENT:   This is a very peculiar SN Ia.

JD TIMES AND PHASES:

     JD times for the SN 2002bf spectra of leondard2005b
     Bmax from leonard2005b where the full JD Bmax is JD 2452337.87
     but the error is probably at least .5 days.

     JD Bmax   Heliocentric velocity (Leda)
     2337.87   7271.


     Heliocentric velocity     Z redshift
           7271.0000000000   0.0242534454

     Index            Short JD Observer phase     Rest phase

         1     2340.9100000000   3.0400000000   2.9680154006     ! leonard2005b 2002mar07.41
         2     2344.9400000000   7.0700000000   6.9025884482     ! leonard2005b 2002mar11.44


SPECTRUM LOG:

         Spectrum               Date                  Rest Phase relative to Bmax    Observed Wavelength Range
         leonard2005b           2002mar07.41          2.97                           3900--8800.00
         leonard2005b           2002mar11.44          6.90                           3300--10400.0

REF:

        CfA List of Supernovae
        where SN 2002bf is noted.

        CfA Supernova Archive
        This has 0 SN 2002bf spectra and 0 photometry.

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

        leonard2005b
        On SN 2002bf and other 3 other SNe Ia.  There are only 2 02bf spectra, but they
        have very high S/N since they were for spectropolarimetry.  Smoothing shouldn't be needed.

        SUSPECT Index.

        SUSPECT Index:  SN 2002bf Ia.
        There are 0 spectra.  But there is a great picture of
        Fritz Zwicky (Wikipedia).


CORRECTIONS:  Heliocentric velocity 7271 +/- 38 km/s (2007jun30) from
              Leda:  PGC 029953.
              Galactic foreground 0.05/4=.0125 reddening from
              Leda:  PGC 029953.
              This is derived from
              Schlegel et al. (1998).


COMMENTS: OBSERVATIONS: From (1). 1) David Branch /home/branch/synow/02bf: there are the 2 leonard2005b spectra. PHASE: For consistency we always use rest phase and for explicitness to more digits than are significant. observer phase = 7.0700000000 rest phase = 6.9025884482 &specnamelist aname='sn2002bf Ia 2002_03_11' ebv=.0125 ! epoch=6.9025884482 ! This parameter needs to updated for the particular spectrum. idifmake=0 iformat=1 ! leonard2005b (p. 466) says the Si II 6355 minimum should be at about 6050 A. ! in the deredshifted spectrum. Since in this spectrum the minimum is ! at about 6200 A, it is clear this has not been deredshifted. ismooth=1 ! Smoothing is needed. itick=2 itickln=4 t_rise=19.4d0 ! \citep{conley2006}, Just an average rise time. smooth_x=.005d0 ! This is a 3000 km/s smoothing region which is 3 times the default. v_helio=7271. ymin2=0.05d0 ! .03 has the same deep pit at about 8100. ymax2=2.2d0 ymin3=.2 ! .15 has the same deep pit at about 8100. ymax3=2.4 wlammin1=3300.d0 wlammax1=10400.0 wlammin2=3300.d0 wlammax2=10400.0 wlammin3=3600.d0 ! This cuts off to a plausible region. This is about 3500 in the rest frame. wlammax3=9500.0 ! This cuts off to a plausible region. This is about 9300 in the rest frame. /
./figure/sn2002bf_2002_03_11.gif Postscript plot of the spectrum.
./figure/sn2002bf_2002_03_11.dif.gif Postscript plot of the spectrum with local normalization.
FITS: Fits format information from the observers if any. END: 3222.781224334373746 0.364216314115068 3223.855663805782569 0.441194827100566 3224.930461483376803 0.511514290937159 3226.005617486584015 0.585624426325268 3227.081131934863151 0.672767280335786 3228.157004947715905 0.754101143406731 3229.233236644680346 0.827030695530285 3230.309827145344570 0.863286798357526 3231.386776569325775 0.874554590656550 3232.464085036285724 0.877849881562424 3233.541752665922104 0.878917100603613 3234.619779577981717 0.877526155663214 3235.698165892242741 0.872532171674404 3236.776911728525192 0.848805413770807 3237.856017206686829 0.837715276114786 3238.935482446634524 0.850268272592241 3240.015307568306525 0.857561741017040 3241.095492691682011 0.860365608031637 3242.176037936779267 0.898300297941468 3243.256943423665234 0.949123481156243 3244.338209272436870 1.048402979804874 3245.419835603235242 1.144238300520374 3246.501822536237341 1.185605732720379 3247.584170191671546 1.220574553171421 3248.666878689793975 1.241609854060249 3249.749948150906675 1.282221497755703 3250.833378695346255 1.341531855860002 3251.917170443502073 1.379586911802914 3253.001323515791228 1.408931896574170 3254.085838032674474 1.397818100410501 3255.170714114654857 1.384862403779264 3256.255951882269983 1.390633488577901 3257.341551456108846 1.390228550309420 3258.427512956789542 1.375987191145327 3259.513836504975643 1.337783424961339 3260.600522221365736 1.276608516435354 3261.687570226709340 1.246509522056057 3262.774980641785987 1.228874028921364 3263.862753587419775 1.214624125838214 3264.950889184470725 1.200046152595222 3266.039387553849338 1.180996726015303 3267.128248816496125 1.173754053459458 3268.217473093396620 1.190566821997644 3269.307060505571826 1.180352053559623 3270.397011174093677 1.146794777635449 3271.487325220065031 1.083624534264876 3272.578002764631037 1.010306281329337 3273.669043928975043 0.982787607202609 3274.760448834330873 0.959178231499469 3275.852217601961911 0.944355147958162 3276.944350353176560 0.909741270643222 3278.036847209318694 0.842386157175434 3279.129708291783572 0.772285672002241 3280.222933721997833 0.700265317293125 3281.316523621429951 0.657213872868009 3282.410478111587054 0.621655625376295 3283.504797314026291 0.608082045902262 3284.599481350335282 0.598440590825013 3285.694530342145299 0.601688994992295 3286.789944411128999 0.610932624105445 3287.885723678995419 0.627480744134492 3288.981868267504524 0.632737970500874 3290.078378298446751 0.632403821549456 3291.175253893656645 0.629749772111964 3292.272495175006043 0.627174493947818 3293.370102264416801 0.627673850609465 3294.468075283842609 0.641532257323253 3295.566414355280358 0.682619007153569 3296.665119600763774 0.728652633274048 3297.764191142378422 0.778715146150069 3298.863629102240338 0.780660172130828 3299.963433602508303 0.768605952647436 3301.063604765380205 0.764688905814033 3302.164142713103956 0.768780426313131 3303.265047567958391 0.800533143779569 3304.366319452265543 0.816726079059424 3305.467958488386103 0.813955385079493 3306.569964798730780 0.832808046707060 3307.672338505742118 0.861923801069059 3308.775079731904952 0.962842032990681 3309.878188599743680 1.066472054041584 3310.981665231832267 1.140383070917378 3312.085509750776509 1.188682018059856 3313.189722279224497 1.192774075700477 3314.294302939864338 1.181783844603969 3315.399251855433249 1.160676490375182 3316.504569148700284 1.141366953323019 3317.610254942478605 1.122528271256204 3318.716309359618208 1.105279496388052 3319.822732523021841 1.103729204714277 3320.929524555620901 1.138850086102233 3322.036685580393168 1.182383368977721 3323.144215720355533 1.233213841834989 3324.252115098564445 1.217635350016817 3325.360383838126381 1.181993646317417 3326.469022062178738 1.099200271599170 3327.578029893903476 1.035863510539267 3328.687407456520759 1.031174407463630 3329.797154873301224 1.065917344387778 3330.907272267546432 1.141838170979299 3332.017759762603418 1.196193519650390 3333.128617481856054 1.242591279415397 3334.239845548739140 1.245948153083224 3335.351444086720221 1.245141175878010 3336.463413219309587 1.233627135886767 3337.575753070055725 1.222778538155751 3338.688463762558968 1.212713992585497 3339.801545420450566 1.197689143469610 3340.914998167406338 1.180579899575847 3342.028822127139392 1.177394065574398 3343.143017423415586 1.186087903817857 3344.257584180030335 1.240044488594223 3345.372522520824532 1.297920407610402 3346.487832569676812 1.360663142457731 3347.603514450517196 1.390803194841071 3348.719568287307084 1.406645189437447 3349.835994204052440 1.363932016675817 3350.952792324797429 1.310894811209565 3352.069962773637144 1.229535957514323 3353.187505674698514 1.163156035279639 3354.305421152152576 1.115181042810225 3355.423709330209022 1.114213977155945 3356.542370333129384 1.133196907945176 3357.661404285205208 1.151766595353476 3358.780811310773970 1.160988277214634 3359.900591534213618 1.135457449586507 3361.020745079941662 1.094187768241071 3362.141272072426091 1.035025117342779 3363.262172636166270 0.984225475009324 3364.383446895707038 0.936582594828418 3365.505094975630527 0.940565234533537 3366.627117000571616 0.949176825425687 3367.749513095195653 0.969544982545262 3368.872283384213915 0.973764354036452 3369.995427992374516 0.962049824468461 3371.118947044478773 0.943587481327289 3372.242840665358017 0.923327523276239 3373.367108979889963 0.913148590069996 3374.491752112989161 0.896141197930502 3375.616770189623821 0.862465432504833 3376.742163334791712 0.823042415676995 3377.867931673536987 0.779006426802853 3378.994075330941087 0.783845417526446 3380.120594432138205 0.804032205051073 3381.247489102293912 0.873068648403100 3382.374759466618343 0.926117225273005 3383.502405650360743 0.949985877360039 3384.630427778822195 0.939542543057330 3385.758825977333800 0.908287986393355 3386.887600371274857 0.875457253345392 3388.016751086060140 0.844775974546169 3389.146278247157625 0.826208418074267 3390.276181980067577 0.800398408643102 3391.406462410334825 0.765132469552949 3392.537119663545582 0.735260730084574 3393.668153865325166 0.707628841942949 3394.799565141351195 0.728200246330506 3395.931353617332206 0.743602703477901 3397.063519419022668 0.740840631555782 3398.196062672215248 0.727435834904903 3399.328983502755364 0.704560810756016 3400.462282036519355 0.703885916302006 3401.595958399429037 0.708324239605097 3402.730012717445334 0.710056851884505 3403.864445116581464 0.704424140705382 3404.999255722881117 0.685767502527800 3406.134444662435271 0.668909478099116 3407.270012061372199 0.653058366011733 3408.405958045872922 0.653697816904083 3409.542282742149837 0.652285637788368 3410.678986276462183 0.637192453010547 3411.816068775106487 0.603326884395121 3412.953530364431572 0.549481071582953 3414.091371170819457 0.514093386239505 3415.229591320696727 0.487231732396201 3416.368190940528166 0.514094309210530 3417.507170156832672 0.547600323376633 3418.646529096159156 0.594156838504359 3419.786267885103825 0.652850003962662 3420.926386650300628 0.718884378357341 3422.066885518435811 0.794086953596151 3423.207764616228815 0.866822005374625 3424.349024070443647 0.925916667616907 3425.490664007883424 0.968470428830171 3426.632684555403557 0.993656472285217 3427.775085839892654 1.009827304211445 3428.917867988283433 1.023934526601272 3430.061031127552269 1.044853113463882 3431.204575384713280 1.060581054361177 3432.348500886834245 1.067120357751778 3433.492807761014319 1.061796642726019 3434.637496134398589 1.050199103240892 3435.782566134171702 1.052585868178798 3436.928017887570149 1.058089297717107 3438.073851521862707 1.070914926063114 3439.220067164364991 1.081324364101064 3440.366664942430361 1.089667870095161 3441.513644983465383 1.090887122553253 3442.661007414908454 1.092487760502738 3443.808752364245265 1.105595799451462 3444.956879958999252 1.128880807530870 3446.105390326746601 1.165509949191789 3447.254283595096240 1.192644925185628 3448.403559891703480 1.215684082283786 3449.553219344262288 1.220344141883776 3450.703262080518471 1.216817250381043 3451.853688228251940 1.197034967799393 3453.004497915288084 1.163350871321725 3454.155691269490035 1.121760969980501 3455.307268418776403 1.087310621925912 3456.459229491095812 1.058935392786290 3457.611574614444180 1.047845097810484 3458.764303916856989 1.042394868705860 3459.917417526421559 1.041532399587607 3461.070915571257956 1.033538291747752 3462.224798179533082 1.024335698388970 3463.379065479456131 1.014998752966988 3464.533717599275406 1.022175938271322 3465.688754667292415 1.047689789376926 3466.844176811841407 1.070205368323081 3467.999984161302564 1.091275381467838 3469.156176844095171 1.106340555922501 3470.312754988692632 1.124262541879415 3471.469718723599726 1.146381256920374 3472.627068177367619 1.159660559175048 3473.784803478587946 1.169010034468014 3474.942924755904642 1.164149955480851 3476.101432137993925 1.155706481022343 3477.260325753579764 1.140444775952309 3478.419605731423871 1.136568330326871 3479.579272200342530 1.138569474859798 3480.739325289183398 1.159202226170683 3481.899765126842340 1.176701191955164 3483.060591842252506 1.185486988153174 3484.221805564402530 1.185062243045937 3485.383406422312419 1.178758725799411 3486.545394545048566 1.186889362034249 3487.707770061717383 1.194994964095125 3488.870533101479396 1.199713173886990 3490.033683793526507 1.201435852888255 3491.197222267097004 1.200896986085665 3492.361148651470103 1.213093387246657 3493.525463075978223 1.225629387973523 3494.690165669986072 1.233718562679061 3495.855256562904287 1.230847559970625 3497.020735884184887 1.218550928430827 3498.186603763331732 1.201381194398183 3499.352860329882787 1.183405978625926 3500.519505713421950 1.165330350672201 3501.686540043576315 1.150954578464733 3502.853963450012998 1.140078024851740 3504.021776062453227 1.149691735685611 3505.189978010649611 1.165226936319597 3506.358569424402504 1.190822536131233 3507.527550433552278 1.214671746132161 3508.696921167992514 1.236764649501974 3509.866681757649985 1.246596374586320 3511.036832332497852 1.251236268839397 3512.207373022549291 1.241888809876071 3513.378303957871594 1.256702766241555 3514.549625268564341 1.296500148843466 3515.721337084775314 1.289429071219671 3516.893439536689584 1.276351103485498 3518.065932754549522 1.284346414403394 3519.238816868627509 1.285125038481989 3520.412092009244589 1.278482700959352 3521.585758306760454 1.277374285214188 3522.759815891590279 1.278050051235209 3523.934264894180615 1.281960629582738 3525.109105445026671 1.277503961623375 3526.284337674662311 1.264770729800617 3527.459961713675511 1.262928661040660 3528.635977692688357 1.263880146613909 3529.812385742369315 1.268180826312283 3530.989185993425963 1.269521760526212 3532.166378576622265 1.268138466285646 3533.343963622752653 1.275668780217897 3534.521941262660675 1.283748548839105 3535.700311627228530 1.288397420767483 3536.879074847393895 1.285327535957981 3538.058231054127191 1.275864242389386 3539.237780378445223 1.264207911118153 3540.417722951408905 1.252855097613262 3541.598058904119625 1.243363113141971 3542.778788367732886 1.228085810635842 3543.959911473437842 1.208642557272357 3545.141428352470029 1.188233103609493 3546.323339136104551 1.180364305372099 3547.505643955673804 1.205643198464302 3548.688342942540203 1.246061574921353 3549.871436228114817 1.295602399597731 3551.054923943849190 1.324133203850138 3552.238806221248979 1.349652892291250 3553.423083191853038 1.370064247484915 3554.607754987247972 1.386829532045145 3555.792821739060400 1.401311529863551 3556.978283578971059 1.396828812985037 3558.164140638694789 1.391213531255214 3559.350393049993272 1.383752428674769 3560.537040944668661 1.383279280848458 3561.724084454578588 1.385730686927206 3562.911523711612062 1.392206315042823 3564.099358847707663 1.401976290834601 3565.287589994843074 1.415861788358840 3566.476217285051462 1.433277672075908 3567.665240850398732 1.450082959610699 3568.854660822998994 1.458994180652451 3570.044477335005467 1.463752103784823 3571.234690518628668 1.464631232054324 3572.425300506109124 1.463934524320677 3573.616307429738299 1.462610057476939 3574.807711421849490 1.459977644546139 3575.999512614817831 1.458972654353737 3577.191711141072119 1.459062905102850 3578.384307133076163 1.464681043915983 3579.577300723340159 1.474462530089898 3580.770692044415682 1.492496587542214 3581.964481228908426 1.492550026757725 3583.158668409458187 1.483209125888953 3584.353253718752967 1.451999294488804 3585.548237289520330 1.431493917885674 3586.743619254543773 1.425979960778007 3587.939399746639538 1.428954490948662 3589.135578898672065 1.433058344193121 3590.332156843546727 1.430266528490377 3591.529133714224372 1.425435391568765 3592.726509643698137 1.418711581213072 3593.924284765009816 1.411431183252958 3595.122459211242131 1.406220481178320 3596.321033115532828 1.407172356467833 3597.520006611053304 1.407765604146484 3598.719379831022707 1.408143135366485 3599.919152908700653 1.401744074066661 3601.119325977403150 1.392936845694801 3602.319899170478948 1.380085863469356 3603.520872621324997 1.365724775826428 3604.722246463379179 1.352025695107946 3605.924020830134850 1.346859558113386 3607.126195855118567 1.343140072090820 3608.328771671905997 1.340888258516076 3609.531748414111917 1.335560659136439 3610.735126215408854 1.330649995993393 3611.938905209501172 1.328343308759603 3613.143085530141889 1.328259595504129 3614.347667311129953 1.329410171686976 3615.552650686302513 1.317646202262742 3616.758035789554924 1.308008988197241 3617.963822754815283 1.301755245048194 3619.170011716059889 1.308589945892289 3620.376602807305062 1.316308835450619 3621.583596162625327 1.306211641899308 3622.790991916126586 1.285506325771903 3623.998790201963857 1.255408573076885 3625.206991154333082 1.236377641449428 3626.415594907487048 1.222278468731634 3627.624601595710374 1.217354265238929 3628.834011353338155 1.215127303793065 3630.043824314744597 1.213653713810911 3631.254040614361202 1.205373136882184 3632.464660386653122 1.192982339748539 3633.675683766132806 1.175669878796742 3634.887110887355448 1.155954240212510 3636.098941884930809 1.137622186924837 3637.311176893503671 1.125399918750061 3638.523816047766559 1.113507452077977 3639.736859482453838 1.101708174972723 3640.950307332354896 1.079776928732046 3642.164159732293683 1.060203220388355 3643.378416817143261 1.044149262858733 3644.593078721816710 1.033652669248721 3645.808145581283952 1.023015652615502 3647.023617530549473 1.005432680298180 3648.239494704664594 0.984754926582095 3649.455777238723840 0.961829478395565 3650.672465267876760 0.944718205578560 3651.889558927307462 0.924950092180242 3653.107058352248714 0.900382541417877 3654.324963677977394 0.869519591483485 3655.543275039813579 0.838630276385693 3656.761992573132375 0.817578985786916 3657.981116413342988 0.799543759095292 3659.200646695903288 0.783874776970822 3660.420583556313431 0.765123920756691 3661.640927130129512 0.747639011489922 3662.861677552940819 0.732658529261860 3664.082834960387117 0.724593216411180 3665.304399488148192 0.719252656827256 3666.526371271961125 0.716689381014145 3667.748750447597104 0.709833308705308 3668.971537150875520 0.699635982520857 3670.194731517658511 0.682018854786087 3671.418333683863239 0.660970119729948 3672.642343785441881 0.634515941165104 3673.866761958396637 0.614259007816231 3675.091588338768815 0.598399960379443 3676.316823062658386 0.594385412914116 3677.542466266198971 0.585067856860986 3678.768518085572850 0.571999106977279 3679.994978657004140 0.552081415901399 3681.221848116774254 0.536344197816301 3682.449126601197804 0.526924162782236 3683.676814246639424 0.525934728154362 3684.904911189504674 0.528378580905562 3686.133417566256412 0.535991297603718 3687.362333513391604 0.542196556751590 3688.591659167456783 0.547065743221000 3689.821394665043499 0.540228741410015 3691.051540142784688 0.532939604443695 3692.282095737371947 0.525107232020908 3693.513061585528703 0.525458286212807 3694.744437824029774 0.527986926205833 3695.976224589689991 0.532879303649350 3697.208422019383306 0.538573341480144 3698.441030250016411 0.543994882544787 3699.674049418545110 0.544453021682167 3700.907479661968409 0.540659633600853 3702.141321117341249 0.533065272387303 3703.375573921754039 0.526441847589899 3704.610238212344939 0.521995843135008 3705.845314126296216 0.521266300388351 3707.080801800845165 0.526298944287093 3708.316701373265005 0.531837962524767 3709.553012980877611 0.533053111021956 3710.789736761047152 0.527537148601419 3712.026872851195094 0.518320161487464 3713.264421388777009 0.517177854319730 3714.502382511298947 0.521578403823710 3715.740756356307429 0.532314924326393 3716.979543061407639 0.536787767063772 3718.218742764238868 0.539213542442422 3719.458355602489519 0.538856762605356 3720.698381713891195 0.536475092577376 3721.938821236231433 0.532563110648034 3723.179674307333698 0.524512138752375 3724.420941065070110 0.518760632536679 3725.662621647355536 0.514630744710213 3726.904716192162141 0.512020830281711 3728.147224837496651 0.509981625076151 3729.390147721415815 0.508651873403789 3730.633484982021400 0.508240862211284 3731.877236757458832 0.507066216821587 3733.121403185930376 0.503847950599328 3734.365984405672407 0.498915570746884 3735.610980554972684 0.493073828117845 3736.856391772159441 0.485775898135954 3738.102218195619571 0.480217901087394 3739.348459963774076 0.475902525640216 3740.595117215095343 0.473922180904873 3741.842190088095776 0.475113973514904 3743.089678721347354 0.479948599510393 3744.337583253456160 0.492386377900067 3745.585903823078297 0.505642301334250 3746.834640568911254 0.518846092394730 3748.083793629712545 0.525930162756088 3749.333363144272425 0.530068596452967 3750.583349251432082 0.529899618588276 3751.833752090074995 0.531649754951642 3753.084571799142395 0.534253178602215 3754.335808517610531 0.534779970569885 3755.587462384505670 0.538841917249715 3756.839533538896831 0.546101177610654 3758.092022119910325 0.562852812236207 3759.344928266707939 0.577310224648686 3760.598252118501932 0.587923416014724 3761.851993814545494 0.594152556108450 3763.106153494152295 0.601113391761060 3764.360731296668291 0.611752962835589 3765.615727361492191 0.623328195522803 3766.871141828063173 0.634092540716878 3768.126974835879992 0.639596477367296 3769.383226524475504 0.645297942778901 3770.639897033433954 0.651540162032349 3771.896986502384152 0.663329274842419 3773.154495070999928 0.675021753286715 3774.412422879011956 0.686624320080502 3775.670770066185469 0.695485138086641 3776.929536772337542 0.702645910992231 3778.188723137327088 0.707533739804177 3779.448329301071681 0.709194780343887 3780.708355403523001 0.709897578349510 3781.968801584684570 0.709622901300562 3783.229667984601747 0.713142428302154 3784.490954743379007 0.719347045685962 3785.752662001154931 0.731058663617162 3787.014789898119034 0.742157641431257 3788.277338574504938 0.752856836707894 3789.540308170602202 0.762857911099827 3790.803698826738128 0.770281134257735 3792.067510683288674 0.775753942755013 3793.331743880673912 0.779831158174756 3794.596398559371664 0.786418770200069 3795.861474859895679 0.795672043457406 3797.126972922809273 0.812450783658906 3798.392892888720326 0.829394374669379 3799.659234898293562 0.845878766538718 3800.925999092230086 0.856716051250895 3802.193185611281933 0.869454650963245 3803.460794596243431 0.888369404763948 3804.728826187967115 0.909922811224462 3805.997280527342355 0.930394498388398 3807.266157755308086 0.944851360670623 3808.535458012850995 0.959194350471004 3809.805181441000514 0.973991434959147 3811.075328180844281 0.991455185597358 3812.345898373506316 1.007997158521994 3813.616892160161115 1.024428083702968 3814.888309682026375 1.045722130542247 3816.160151080378000 1.071145140002769 3817.432416496528276 1.099887036324208 3818.705106071839509 1.123251269723164 3819.978219947718571 1.141788252517594 3821.251758265629633 1.155090697622219 3822.525721167073243 1.172007217414160 3823.800108793601339 1.191787072044931 3825.074921286807694 1.215330704671892 3826.350158788347017 1.237319937749323 3827.625821439907668 1.259085285831600 3828.901909383230304 1.280816150418107 3830.178422760098329 1.304707511045498 3831.455361712354261 1.327738698946006 3832.732726381877001 1.347526270000091 3834.010516910595015 1.366623336591416 3835.288733440482247 1.386704888562611 3836.567376113569480 1.410683440222829 3837.846445071924791 1.429603971050982 3839.125940457666729 1.445969331398504 3840.405862412957504 1.460218251881222 3841.686211080018893 1.477513890059798 3842.966986601107692 1.496574689950293 3844.248189118532537 1.516727748013063 3845.529818774644809 1.537944109229572 3846.811875711855919 1.560057806446111 3848.094360072612744 1.584433524236192 3849.377271999413551 1.608314625371740 3850.660611634803900 1.631629092348669 3851.944379121373458 1.650566684186497 3853.228574601771015 1.668202266382331 3854.513198218680827 1.684630722840174 3855.798250114838538 1.707047112896966 3857.083730433024357 1.731357906830549 3858.369639316077155 1.757718201911094 3859.655976906871274 1.782556011748171 3860.942743348333806 1.805981679651309 3862.229938783434136 1.827707380546811 3863.517563355202583 1.842653839915382 3864.805617206704028 1.856173702091807 3866.094100481055648 1.868417205290211 3867.383013321418730 1.882246309649258 3868.672355871013679 1.894568417314638 3869.962128273095914 1.904114163041518 3871.252330670974516 1.911341377307184 3872.542963208001311 1.919020046429898 3873.834026027587242 1.928193025237585 3875.125519273180089 1.935334379254303 3876.417443088279015 1.942118688749347 3877.709797616427295 1.948965447115820 3879.002583001227322 1.956023818753474 3880.295799386318777 1.962691588000826 3881.589446915391818 1.968367233437863 3882.883525732181170 1.976330491633748 3884.178035980481582 1.983399561189708 3885.472977804122820 1.986827446362805 3886.768351346988311 1.985755306885612 3888.064156753007865 1.984562979907338 3889.360394166155857 1.986410677744122 3890.657063730466689 1.985433516476778 3891.954165590010689 1.981202097751509 3893.251699888910480 1.970201179208177 3894.549666771332795 1.957891069102768 3895.848066381503486 1.945102723262475 3897.146898863686147 1.932149921508528 3898.446164362194395 1.922394152304877 3899.745863021387777 1.914545936922234 3901.045994985684956 1.909258672735579 3902.346560399540977 1.899602454546573 3903.647559407463632 1.888215112130259 3904.948992154003918 1.876110462661332 3906.250858783773310 1.863494344688579 3907.553159441420121 1.850766717842929 3908.855894271644502 1.838246714829291 3910.159063419190261 1.823149540073110 3911.462667028862143 1.807213677603669 3912.766705245500816 1.791422714132505 3914.071178214000156 1.776454551323742 3915.376086079296783 1.761337043815602 3916.681428986388710 1.744965258118292 3917.987207080310327 1.722820222458002 3919.293420506147868 1.697700267079296 3920.600069409032130 1.669431695471235 3921.907153934154394 1.646377644534333 3923.214674226741863 1.627333602400846 3924.522630432075402 1.614745197108438 3925.831022695479078 1.603425825926557 3927.139851162337436 1.593325545443362 3928.449115978072314 1.585356807455629 3929.758817288157388 1.580932969437405 3931.068955238115450 1.573461700953999 3932.379529973512490 1.557034798267537 3933.690541639976800 1.531635016536977 3935.001990383171687 1.505723606169904 3936.313876348814574 1.482923563971334 3937.626199682665629 1.464542572413347 3938.938960530546865 1.446683418081081 3940.252159038316677 1.428218164813531 3941.565795351886209 1.408607377590437 3942.879869617210261 1.390431937026040 3944.194381980306389 1.374923489117618 3945.509332587226254 1.362215179185206 3946.824721584076542 1.349716234185487 3948.140549117006685 1.337030049237290 3949.456815332227961 1.325358453670956 3950.773520375988937 1.314267908741032 3952.090664394589112 1.303810580816378 3953.408247534374368 1.295833469418394 3954.726269941750616 1.290282964028435 3956.044731763161053 1.287288384865104 3957.363633145101630 1.286729032199244 3958.682974234111953 1.286313254970347 3960.002755176794835 1.285804473237139 3961.322976119787654 1.279229815764109 3962.643637209781900 1.267707196030399 3963.964738593513630 1.252249796170702 3965.286280417779835 1.237123557414027 3966.608262829414798 1.221784260338779 3967.930685975305096 1.206053439384791 3969.253550002383236 1.188552393877759 3970.576855057641296 1.179439670700301 3971.900601288109556 1.177303539637561 3973.224788840871042 1.186741366004627 3974.549417863057442 1.193482506485084 3975.874488501846372 1.196840903555429 3977.200000904475019 1.192506262396685 3978.525955218219224 1.190357854591724 3979.852351590406670 1.191135038381998 3981.179190168411424 1.197626465587536 3982.506471099667124 1.201490487520081 3983.834194531646517 1.202757746928317 3985.162360611873282 1.200126384051245 3986.490969487918392 1.199902613544393 3987.820021307412389 1.200456931991613 3989.149516218024473 1.201626255336470 3990.479454367475228 1.201430029894418 3991.809835903532530 1.201053581418723 3993.140660974023831 1.200591924369072 3994.471929726815233 1.196562223640333 3995.803642309824681 1.191952037548732 3997.135798871016959 1.186833962217027 3998.468399558417332 1.181553624878364 3999.801444520088353 1.177893315530378 4001.134933904146237 1.175774561371875 4002.468867858752674 1.176570701572667 4003.803246532129833 1.174658311293181 4005.138070072538994 1.171667073552208 4006.473338628293277 1.169799980812040 4007.809052347751731 1.170436819187143 4009.145211379335251 1.171597863265887 4010.481815871502022 1.171833332154327 4011.818865972763888 1.171637943893529 4013.156361831681352 1.171500817913744 4014.494303596861300 1.171642193807486 4015.832691416972011 1.174964376300479 4017.171525440719506 1.179251414490082 4018.510805816862558 1.184308356803336 4019.850532694206322 1.186574798248669 4021.190706221617802 1.188789251067979 4022.531326548000379 1.191033147436140 4023.872393822312461 1.193651898668979 4025.213908193557472 1.193411438613876 4026.555869810800232 1.191577888375805 4027.898278823143755 1.190995237219401 4029.241135379744719 1.194483348137023 4030.584439629805274 1.199653582370564 4031.928191722589418 1.204653744674193 4033.272391807399345 1.207652259218212 4034.617040033590001 1.211439162373021 4035.962136550562718 1.217748605892786 4037.307681507781581 1.230697272390531 4038.653675054746600 1.244955478469662 4040.000117341013265 1.259836316937404 4041.347008516181631 1.272123897373419 4042.694348729914964 1.284165574047755 4044.042138131913362 1.295682028551718 4045.390376871931494 1.303746137975095 4046.739065099769050 1.308821907480382 4048.088202965288929 1.312817942645763 4049.437790618390864 1.319261987183671 4050.787828209029612 1.326545529036345 4052.138315887204499 1.333797861584170 4053.489253802978510 1.340317274850425 4054.840642106451469 1.346924359501334 4056.192480947778222 1.354167156840084 4057.544770477161819 1.362299768172405 4058.897510844853969 1.369409340439738 4060.250702201166405 1.375102446999411 4061.604344696449971 1.379510384046260 4062.958438481109170 1.383603834002445 4064.312983705594888 1.390574950298469 4065.667980520420770 1.400825895914993 4067.023429076137290 1.417785510863578 4068.379329523350407 1.432829646634780 4069.735682012711095 1.444495528659641 4071.092486694933541 1.450209704748868 4072.449743720770130 1.458429646790694 4073.807453241026906 1.467767385771341 4075.165615406555844 1.478071424531668 4076.524230368273038 1.479619959476899 4077.883298277130962 1.480498975578510 4079.242819284137113 1.481078232763124 4080.602793540345829 1.483131926850792 4081.963221196873292 1.485760588893996 4083.324102404873884 1.489681970160647 4084.685437315556555 1.496596627163050 4086.047226080177097 1.504112223879017 4087.409468850052690 1.510587194960678 4088.772165776540987 1.515225584814758 4090.135317011051484 1.515697530862022 4091.498922705041423 1.516532928179616 4092.862983010031712 1.518000771219764 4094.227498077579185 1.520736564025223 4095.592468059297971 1.521095831638909 4096.957893106846313 1.519469072765844 4098.323773371947027 1.515283839640088 4099.690109006359307 1.514088378987305 4101.056900161899648 1.513625527387471 4102.424146990432746 1.513149218856941 4103.791849643871501 1.514170311997435 4105.160008274190659 1.513664061611139 4106.528623033404074 1.511681772681920 4107.897694073580169 1.510055156895156 4109.267221546832843 1.510319638009269 4110.637205605340569 1.511200750869832 4112.007646401320017 1.510988524585347 4113.378544087042428 1.509896642873048 4114.749898814825428 1.506999186391905 4116.121710737049398 1.501584272929019 4117.493980006134734 1.498660231926994 4118.866706774555496 1.499252128751937 4120.239891194832126 1.502813623912898 4121.613533419550549 1.506977253837442 4122.987633601332163 1.505963578222236 4124.362191892854753 1.501996780434835 4125.737208446842487 1.496148396288507 4127.112683416085019 1.493837725125298 4128.488616953407472 1.493351491097701 4129.865009211691358 1.494478317229303 4131.241860343865483 1.496892329265450 4132.619170502922316 1.496733602905270 4133.996939841889798 1.494607024116571 4135.375168513855897 1.491302050036701 4136.753856671951326 1.488896997182372 4138.133004469372281 1.488084831382139 4139.512612059354069 1.489707430275829 4140.892679595185655 1.492696929652263 4142.273207230208754 1.493798648250127 4143.654195117809650 1.492464316218239 4145.035643411441015 1.485993367596230 4146.417552264592814 1.478846134721780 4147.799921830809581 1.472539858242689 4149.182752263684961 1.469145687835005 4150.566043716874447 1.466859679206514 4151.949796344072638 1.466974874421041 4153.334010299031434 1.469946531640019 4154.718685735546387 1.477150876141642 4156.103822807478537 1.480981405989997 4157.489421668729847 1.480684043476706 4158.875482473254124 1.472899560230500 4160.262005375053377 1.465369876412062 4161.648990528196009 1.461040710408800 4163.036438086785893 1.461249938831294 4164.424348204985108 1.468671200357112 4165.812721037000301 1.477173857941757 4167.201556737103601 1.484378250113849 4168.590855459607155 1.482931754134540 4169.980617358876771 1.479057783226682 4171.370842589325548 1.476545914077728 4172.761531305432072 1.477346932478350 4174.152683661713127 1.481154031046670 4175.544299812741883 1.485488752171386 4176.936379913136079 1.490430266366616 4178.328924117581664 1.496687026701290 4179.721932580800967 1.501999508861632 4181.115405457572706 1.506563901291267 4182.509342902722892 1.510327042514079 4183.903745071141202 1.511462348127660 4185.298612117758239 1.512658832086649 4186.693944197559176 1.514149869912603 4188.089741465580119 1.516517729262954 4189.486004076905374 1.516969995745288 4190.882732186684734 1.515486008301623 4192.279925950104371 1.511678250629277 4193.677585522409572 1.504048219451607 4195.075711058891102 1.495919282266916 4196.474302714904297 1.488316168714178 4197.873360645844514 1.484485595820159 4199.272885007162586 1.484763081463580 4200.672875954356641 1.484670749655767 4202.073333642990292 1.482158157585760 4203.474258228665349 1.472569571384399 4204.875649867039101 1.463181809291618 4206.277508713819770 1.455109166395437 4207.679834924775605 1.451463311461879 4209.082628655718509 1.450289694686396 4210.485890062512226 1.449067887416756 4211.889619301072344 1.446932031258960 4213.293816527376293 1.442782938543009 4214.698481897441525 1.436256727127397 4216.103615567342786 1.427273925126680 4217.509217693202118 1.414936238415201 4218.915288431204317 1.402345125329057 4220.321827937576927 1.391389351435609 4221.728836368601151 1.382761472095714 4223.136313880607304 1.379041713530668 4224.544260629990276 1.373478284028868 4225.952676773184066 1.364277496555252 4227.361562466679970 1.348757087026582 4228.770917867020216 1.331279027621806 4230.180743130796145 1.315586735168262 4231.591038414662762 1.301721402853775 4233.001803875316000 1.288710963216359 4234.413039669508180 1.279658854748439 4235.824745954037098 1.272927013373237 4237.236922885768763 1.267993117701800 4238.649570621608291 1.260995904126321 4240.062689318514458 1.253699638091354 4241.476279133497883 1.246123123721989 4242.890340223631938 1.238236967099857 4244.304872746030014 1.230527126681058 4245.719876857863710 1.223162282224713 4247.135352716350098 1.215780609110416 4248.551300478772646 1.205092978827310 4249.967720302455746 1.190868675072779 4251.384612344778361 1.175678277710909 4252.801976763169478 1.161284609282708 4254.219813715121745 1.148925620655050 4255.638123358169651 1.138604782710526 4257.056905849901341 1.129625377048605 4258.476161347956804 1.120488468302744 4259.895890010038784 1.106871051988026 4261.316091993890041 1.091052820655143 4262.736767457312453 1.074115969911500 4264.157916558152465 1.061800811917878 4265.579539454325641 1.054817480063432 4267.001636303785745 1.049657624479473 4268.424207264542929 1.043809266613174 4269.847252494656459 1.035821114142696 4271.270772152251084 1.026892586657694 4272.694766395491570 1.016337429383362 4274.119235382599982 1.002137804583298 4275.544179271849316 0.984148110130746 4276.969598221563501 0.965421449359368 4278.395492390130130 0.946762544183621 4279.821861935978632 0.929249948366111 4281.248707017593915 0.914801083091534 4282.676027793509093 0.903483755788011 4284.103824422326397 0.895609730780616 4285.532097062683533 0.883523339444125 4286.960845873278231 0.869757629316153 4288.390071012855515 0.855280545466083 4289.819772640227711 0.841446093005722 4291.249950914245346 0.828111756510320 4292.680605993817153 0.816853328379266 4294.111738037900977 0.806399928349029 4295.543347205521059 0.791687694695443 4296.975433655738925 0.784991838168992 4298.407997547676132 0.778287862193312 4299.841039040501528 0.769651583253103 4301.274558293451264 0.764675348468765 4302.708555465801510 0.758201397632741 4304.143030716883914 0.750281142582376 4305.577984206081055 0.740820471602375 4307.013416092840998 0.730479741636939 4308.449326536651824 0.723786132369520 4309.885715697058913 0.719296129013758 4311.322583733655847 0.715233470967603 4312.759930806104421 0.707427563517127 4314.197757074106448 0.699209981131043 4315.636062697418311 0.691704834186627 4317.074847835848232 0.687225028100492 4318.514112649269919 0.683765338668227 4319.953857297598006 0.681251270048699 4321.394081940803517 0.679844633846476 4322.834786738911134 0.680453712968778 4324.275971851995564 0.676463653347760 4325.717637440196995 0.672262208927786 4327.159783663694725 0.669957580155204 4328.602410682729897 0.673500840786282 4330.045518657587309 0.676110557651309 4331.489107748622700 0.677585653020449 4332.933178116230920 0.677690219318093 4334.377729920862294 0.675134625582569 4335.822763323019899 0.672175282263651 4337.268278483270478 0.670186766928122 4338.714275562223520 0.670792704092336 4340.160754720545810 0.674464277591731 4341.607716118950520 0.675527563097630 4343.055159918222671 0.675174544882196 4344.503086279182753 0.675714425056677 4345.951495362713104 0.680057576950370 4347.400387329743353 0.685248238561902 4348.849762341269525 0.690835016326254 4350.299620558328570 0.696496042500220 4351.749962142017466 0.702187878293738 4353.200787253479575 0.708810838749148 4354.652096053927380 0.716846063766589 4356.103888704612473 0.727504312839639 4357.556165366844652 0.739283223104397 4359.008926201984650 0.749393660010217 4360.462171371458680 0.757283948950530 4361.915901036734795 0.763685284709228 4363.370115359336523 0.766932758439349 4364.824814500844695 0.767958807747231 4366.279998622888343 0.767841845440432 4367.735667887162890 0.771824588542525 4369.191822455404690 0.775615640680376 4370.648462489409212 0.777983298750580 4372.105588151020129 0.779056140946280 4373.563199602150235 0.784529022689032 4375.021297004752341 0.791741054201838 4376.479880520835650 0.798161257985811 4377.938950312460292 0.802766048369373 4379.398506541756433 0.808121225419402 4380.858549370890614 0.813510164176837 4382.319078962090316 0.818681583049145 4383.780095477632130 0.823591218142336 4385.241599079860862 0.829537533348681 4386.703589931160423 0.837173802921287 4388.166068193973842 0.845796284273591 4389.629034030795083 0.854997388839796 4391.092487604185408 0.864494678955255 4392.556429076744280 0.874253133552336 4394.020858611133917 0.884156983679877 4395.485776370063832 0.894142376850295 4396.951182516310837 0.904257170953396 4398.417077212693584 0.915761142886833 4399.883460622088933 0.927814079215500 4401.350332907425582 0.939793030701184 4402.817694231695896 0.950039391136195 4404.285544757937714 0.960221673007897 4405.753884649244355 0.971166906460798 4407.222714068760069 0.983606712660251 4408.692033179698228 1.000202657477225 4410.161842145310402 1.017487598667413 4411.632141128910007 1.034877157737027 4413.102930293863210 1.052112334254567 4414.574209803586200 1.069615096667780 4416.045979821564288 1.081911893073708 4417.518240511321892 1.092722091891316 4418.990992036444368 1.104437178153986 4420.464234560566183 1.122079964598191 4421.937968247389108 1.141356531460409 4423.412193260658569 1.160113457576183 4424.886909764175471 1.177590453888297 4426.362117921793470 1.194140358257219 4427.837817897434434 1.209178561542887 4429.314009855059339 1.222966941725167 4430.790693958689189 1.235891965870871 4432.267870372396828 1.249199501463588 4433.745539260321493 1.262174643957359 4435.223700786643349 1.273708633216393 4436.702355115603496 1.284532398386069 4438.181502411492147 1.297494151127522 4439.661142838667729 1.311197387337892 4441.141276561530503 1.322632656760520 4442.621903744539850 1.333571517947046 4444.103024552205170 1.348645437935174 4445.584639149104987 1.368868884454947 4447.066747699857842 1.387922531226852 4448.549350369142303 1.405867546133392 4450.032447321687869 1.423592985475235 4451.516038722293160 1.439965317435831 4453.000124735795907 1.454901977142146 4454.484705527094775 1.468331287715088 4455.969781261138451 1.480360014624886 4457.455352102944744 1.495734725686942 4458.941418217572391 1.514048469398589 4460.427979770141064 1.532465934658952 4461.915036925822278 1.548727292203418 4463.402589849841206 1.559299585843377 4464.890638707490325 1.568808188006870 4466.379183664103948 1.577742001965094 4467.868224885075506 1.586658443374421 4469.357762535850270 1.597215126175779 4470.847796781940815 1.612915199887939 4472.338327788902461 1.630646010943513 4473.829355722349646 1.647947608587883 4475.320880747947740 1.660405170358128 4476.812903031430324 1.671026468058072 4478.305422738573725 1.681520450434193 4479.798440035212479 1.691075186278658 4481.291955087233873 1.698283356830767 4482.785968060593405 1.707686833890677 4484.280479121286589 1.718159779019163 4485.775488435370789 1.727845667347012 4487.270996168954298 1.735290930073631 4488.767002488212711 1.741472620054426 4490.263507559365280 1.748653263278664 4491.760511548690374 1.757527542175886 4493.258014622516384 1.767285603466389 4494.756016947241733 1.772861632434922 4496.254518689307588 1.776705146395065 4497.753520015212416 1.780000397658802 4499.253021091509254 1.783106417587820 4500.753022084817530 1.786247125578894 4502.253523161799421 1.790519666719385 4503.754524489178038 1.796733825472601 4505.256026233730154 1.805378056838143 4506.758028562285290 1.816684263786697 4508.260531641741181 1.827646354966167 4509.763535639039219 1.837825362127492 4511.267040721179001 1.845154648743164 4512.771047055211966 1.847836934621768 4514.275554808260495 1.842202321475456 4515.780564147485165 1.834924556438630 4517.286075240111131 1.829999884098115 4518.792088253411748 1.828432899177502 4520.298603354732222 1.830353728536085 4521.805620711456868 1.832906994711368 4523.313140491032755 1.835369049580946 4524.821162860958793 1.836165641724762 4526.329687988800288 1.834044731031754 4527.838716042167107 1.830259139925500 4529.348247188730056 1.828576666078801 4530.858281596208144 1.829132729422737 4532.368819432394957 1.830424551349666 4533.879860865120463 1.827407204927898 4535.391406062281021 1.817366212530879 4536.903455191819376 1.806356078384235 4538.416008421751030 1.797011485172266 4539.929065920132416 1.791573466922385 4541.442627855081810 1.787890243602333 4542.956694394767510 1.781258893465893 4544.471265707428756 1.772543991724486 4545.986341961345715 1.761810838329601 4547.501923324861309 1.747026751008002 4549.018009966368481 1.730525954354896 4550.534602054330207 1.715515817424252 4552.051699757253118 1.702681723151231 4553.569303243702961 1.692050038936694 4555.087412682301874 1.683473478705132 4556.606028241723834 1.676523477834169 4558.125150090714669 1.671174474968877 4559.644778398060225 1.666565380772206 4561.164913332607284 1.658975319240512 4562.685555063256288 1.648803060553523 4564.206703758976801 1.638166869858657 4565.728359588779313 1.627996220754113 4567.250522721738889 1.619063022887917 4568.773193326977889 1.612554243690868 4570.296371573692340 1.606743692675493 4571.820057631119198 1.598132308398510 4573.344251668557263 1.585119894930489 4574.868953855356267 1.568834454798424 4576.394164360937793 1.555737965325492 4577.919883354765261 1.545976086876628 4579.446111006361207 1.538797700655658 4580.972847485303646 1.532874216051120 4582.500092961237897 1.523860064062396 4584.027847603853843 1.515065721011940 4585.556111582902304 1.506433329374623 4587.084885068185031 1.497882160235798 4588.614168229575625 1.489264803811479 4590.143961236989526 1.483459470889872 4591.674264260404016 1.480145570557758 4593.205077469848220 1.477234361964721 4594.736401035421295 1.472577044587422 4596.268235127266053 1.463790642141911 4597.800579915586241 1.456553344330720 4599.333435570641996 1.447654836597552 4600.866802262746205 1.436630715199550 4602.400680162281787 1.424184762504592 4603.935069439676226 1.414841752934597 4605.469970265416123 1.406434774004330 4607.005382810041738 1.399235621078270 4608.541307244163363 1.393013465926118 4610.077743738435856 1.386728771442035 4611.614692463572283 1.377182537751025 4613.152153590342095 1.366680697159987 4614.690127289582961 1.356328359635795 4616.228613732176200 1.346602241360591 4617.767613089064071 1.335510044892546 4619.307125531242491 1.325416450185297 4620.847151229777410 1.316577434497249 4622.387690355778432 1.308126448840314 4623.928743080417007 1.298700702871793 4625.470309574915518 1.286603047945643 4627.012390010569106 1.274660109201412 4628.554984558714750 1.262816535566796 4630.098093390753093 1.251329320188726 4631.641716678134799 1.240756974544422 4633.185854592383293 1.229975880167860 4634.730507305064748 1.216361150608678 4636.275674987808088 1.201329205643451 4637.821357812292263 1.186367164683594 4639.367555950270798 1.173277873081477 4640.914269573537240 1.159561383910276 4642.461498853950616 1.146080910226308 4644.009243963419067 1.134115690645509 4645.557505073923494 1.123953673110565 4647.106282357489363 1.112522413273843 4648.655575986203075 1.098130242179001 4650.205386132207423 1.082625074819621 4651.755712967698855 1.066832395058495 4653.306556664945674 1.051492532162110 4654.857917396258927 1.037801961279859 4656.409795334012415 1.024237415909048 4657.962190650632692 1.008597320966836 4659.515103518616343 0.991066944956071 4661.068534110505425 0.972924050858203 4662.622482598902934 0.957741336063696 4664.176949156465525 0.942972540622321 4665.731933955920795 0.928376460713650 4667.287437170039993 0.914003201752726 4668.843458971657128 0.899977157836912 4670.399999533658956 0.885586102364401 4671.957059029003176 0.871650217967288 4673.514637630692050 0.857852320559764 4675.072735511790597 0.844373597351813 4676.631352845414767 0.831707736387771 4678.190489804754179 0.820876987301404 4679.750146563042108 0.809478547847013 4681.310323293572765 0.796554397606506 4682.871020169695839 0.783613236462059 4684.432237364830144 0.774005924727938 4685.993975052440874 0.773133727651671 4687.556233406052343 0.762254667916630 4689.119012599246162 0.749735890180496 4690.682312805673064 0.738483848022544 4692.246134199029257 0.727739567449139 4693.810476953070975 0.717719987786485 4695.375341241609931 0.705982004452149 4696.940727238530599 0.693073490351280 4698.506635117758378 0.679886244865871 4700.073065053284154 0.667552936310345 4701.640017219155197 0.656433801973621 4703.207491789472442 0.648222482355425 4704.775488938410490 0.642784398091266 4706.344008840183960 0.638271982500477 4707.913051669075685 0.631882549645283 4709.482617599416699 0.622364090092787 4711.052706805614434 0.614454428350605 4712.623319462117252 0.608364135042075 4714.194455743438084 0.603041192658361 4715.766115824143526 0.596969156466143 4717.338299878871112 0.589902989630203 4718.911008082303852 0.585002688934047 4720.484240609186600 0.582824237799911 4722.057997634318781 0.581995552923295 4723.632279332570761 0.580812053500480 4725.207085878859289 0.579336802803087 4726.782417448162050 0.578858161806844 4728.358274215510392 0.576969890303626 4729.934656356011146 0.573380031421585 4731.511564044811166 0.568444444793337 4733.088997457123696 0.563004265166837 4734.666956768213822 0.559681915723258 4736.245442153419390 0.557930639922014 4737.824453788123719 0.555862721592151 4739.403991847771977 0.553215411414933 4740.984056507863897 0.552608415932966 4742.564647943971977 0.555100115099428 4744.145766331712366 0.555517710718154 4745.727411846764880 0.554276929105779 4747.309584664868453 0.552746208545107 4748.892284961814767 0.552838000981095 4750.475512913469174 0.554041043865641 4752.059268695740684 0.553640466794264 4753.643552484602878 0.553593174433576 4755.228364456081181 0.555084635355565 4756.813704786277412 0.558029005702473 4758.399573651334322 0.557382988820298 4759.985971227459231 0.553326936344737 4761.572897690914942 0.550468453686492 4763.160353218036107 0.549945275584522 4764.748337985201033 0.551411454345084 4766.336852168852602 0.552859050793831 4767.925895945487355 0.550649554388793 4769.515469491676413 0.547090728394286 4771.105572984033643 0.543868529132336 4772.696206599237485 0.541635440863458 4774.287370514020040 0.540058735861800 4775.879064905186169 0.539718276784899 4777.471289949587117 0.539154597280779 4779.064045824135974 0.540255574044166 4780.657332705801309 0.543916513523039 4782.251150771624452 0.549786262771828 4783.845500198692207 0.554655329660857 4785.440381164153223 0.558292263325509 4787.035793845211629 0.560565475093749 4788.631738419146131 0.561808175835952 4790.228215063279094 0.562814601153841 4791.825223954996545 0.564778088613763 4793.422765271738172 0.568506735095750 4795.020839191019149 0.572985771197180 4796.619445890399220 0.577521436717912 4798.218585547499970 0.581431479354646 4799.818258340003922 0.583946723973798 4801.418464445647260 0.583720600154370 4803.019204042241654 0.583562861887862 4804.620477307641522 0.588675140909856 4806.222284419765856 0.597885298616573 4807.824625556588217 0.607688524159612 4809.427500896156744 0.613394775244254 4811.030910616563233 0.615470317135237 4812.634854895964963 0.617806758553923 4814.239333912573784 0.620645377208010 4815.844347844673393 0.624608257571529 4817.449896870593875 0.630019202121415 4819.055981168730796 0.636138767444002 4820.662600917531563 0.642599509750391 4822.269756295520892 0.649034936095610 4823.877447481265335 0.654626878944934 4825.485674653397837 0.659768086306450 4827.094437990605002 0.665240474880183 4828.703737671648923 0.668192210612352 4830.313573875335351 0.669470254675094 4831.923946780535516 0.672376606972439 4833.534856566173403 0.674068091532878 4835.146303411250301 0.672429839149742 4836.758287494810247 0.668239027032543 4838.370808995962761 0.667154811360193 4839.983868093871024 0.670823730031879 4841.597464967775522 0.676219208104817 4843.211599796958581 0.681051890224881 4844.826272760768916 0.684876197181698 4846.441484038608905 0.690591526278087 4848.057233809957324 0.697606038977250 4849.673522254337513 0.701156956999403 4851.290349551335567 0.701389266788810 4852.907715880599426 0.699818372556254 4854.525621421832511 0.698561006684324 4856.144066354811002 0.699497218940593 4857.763050859357463 0.700564470892163 4859.382575115358122 0.699548000125251 4861.002639302757416 0.699050909174451 4862.623243601569811 0.699963623648602 4864.244388191859798 0.701426023338253 4865.866073253752802 0.701693249395484 4867.488298967431547 0.700438953362503 4869.111065513154244 0.696653684293796 4870.734373071221853 0.692012460756960 4872.358221822003543 0.687599038702517 4873.982611945920326 0.683613573405536 4875.607543623470519 0.680116977930564 4877.233017035197918 0.676308612845415 4878.859032361709069 0.671200091406554 4880.485589783668729 0.668086873654732 4882.112689481815323 0.669086994727173 4883.740331636932751 0.673690633320703 4885.368516429868578 0.676672516050164 4886.997244041529484 0.671958160873086 4888.626514652894002 0.660543766834794 4890.256328444987048 0.648154557328197 4891.886685598899930 0.638709216538920 4893.517586295777619 0.632852324333840 4895.149030716841480 0.627833987584359 4896.781019043358356 0.624013009762934 4898.413551456660571 0.620205047870974 4900.046628138139567 0.616357886841418 4901.680249269244086 0.612628742144684 4903.314415031497447 0.609415429559825 4904.949125606469352 0.607843694355285 4906.584381175793169 0.608206129609474 4908.220181921158655 0.606414005993820 4909.856528024332874 0.602494943392846 4911.493419667126545 0.596850523560942 4913.130857031415871 0.590207945997597 4914.768840299133444 0.584044079509552 4916.407369652289162 0.579684859785859 4918.046445272933852 0.575007360409030 4919.686067343190189 0.569926267247961 4921.326236045230871 0.564807116050796 4922.966951561307724 0.560305610541836 4924.608214073718045 0.557205099756478 4926.250023764823709 0.556418084699921 4927.892380817042977 0.555942325824380 4929.535285412870508 0.553047604639601 4931.178737734846436 0.547602832771673 4932.822737965575470 0.540907790602284 4934.467286287719617 0.535007751596225 4936.112382884017279 0.532846402724945 4937.758027937250517 0.532709013118939 4939.404221630271422 0.531042370716272 4941.050964145982107 0.529478403322194 4942.698255667366539 0.530437525323241 4944.346096377450522 0.535099584232270 4945.994486459328073 0.541043210665501 4947.643426096148687 0.543730962034330 4949.292915471138258 0.544905001416782 4950.942954767568153 0.544625883277093 4952.593544168775225 0.542575470706692 4954.244683858159988 0.539298644623981 4955.896374019174800 0.536906521323269 4957.548614835353874 0.536111883541467 4959.201406490272348 0.536573374040259 4960.854749167574482 0.536288181577385 4962.508643050960018 0.535907145784736 4964.163088324204182 0.536814047309728 4965.818085171131315 0.539540645350300 4967.473633775627604 0.541303761380649 4969.129734321639262 0.541501300962810 4970.786386993186170 0.541638131328565 4972.443591974338233 0.541342723272218 4974.101349449227200 0.540738481500217 4975.759659602043030 0.540751262264193 4977.418522617054805 0.542935753611573 4979.077938678573446 0.547984878005123 4980.737907970979904 0.555772622346241 4982.398430678708792 0.564695647798252 4984.059506986273846 0.572337731437635 4985.721137078233369 0.578243126611375 4987.383321139213876 0.583113381386770 4989.046059353896453 0.586645031282071 4990.709351907040400 0.585182324502923 4992.373198983450493 0.581335345585749 4994.037600767998811 0.579171539286027 4995.702557445614730 0.580258537272993 4997.368069201302205 0.583890363851533 4999.034136220114306 0.587930539294349 5000.700758687167763 0.590573544218861 5002.367936787644794 0.592340711802145 5004.035670706781275 0.595588180427945 5005.703960629891299 0.599964677247272 5007.372806742336252 0.604856053729772 5009.042209229542095 0.610210170837118 5010.712168276992998 0.616259140878709 5012.382684070251344 0.621437995407106 5014.053756794924084 0.625966252794960 5015.725386636685471 0.631132027515233 5017.397573781267965 0.635649604835419 5019.070318414480425 0.640000868981890 5020.743620722177184 0.645524872535942 5022.417480890281695 0.652824934938697 5024.091899104772892 0.659071980562622 5025.766875551708836 0.664757872538545 5027.442410417190331 0.671751311657675 5029.118503887390034 0.679178752657473 5030.795156148533351 0.685693753785896 5032.472367386927544 0.689846205100511 5034.150137788923530 0.691153023356526 5035.828467540939528 0.692616900693605 5037.507356829451965 0.698782087225150 5039.186805841014575 0.708342158882368 5040.866814762227477 0.718437767596464 5042.547383779758093 0.726579524704600 5044.228513080332050 0.732579738529440 5045.910202850750466 0.738562752246385 5047.592453277863569 0.746804557539825 5049.275264548587074 0.755300074755568 5050.958636849896720 0.762049045900190 5052.642570368841916 0.767507800782612 5054.327065292523002 0.772921708074950 5056.012121808105803 0.778790160667977 5057.697740102817988 0.784763968616212 5059.383920363945435 0.790636801520307 5061.070662778852238 0.798973862775773 5062.757967534949785 0.809496536922135 5064.445834819714946 0.820955295314713 5066.134264820683711 0.832014026438248 5067.823257725471194 0.841499284704942 5069.512813721736165 0.849332948453917 5071.202932997207427 0.856652165575655 5072.893615739671986 0.863094280017828 5074.584862136993252 0.868429436039857 5076.276672377081923 0.874227110204357 5077.969046647916912 0.885272945725866 5079.661985137535339 0.898387115722789 5081.355488034050722 0.910361457238521 5083.049555525626602 0.921265604124655 5084.744187800491090 0.931216379632036 5086.439385046932330 0.941114395194053 5088.135147453314858 0.949872374712519 5089.831475208053234 0.957032440753186 5091.528368499627504 0.964119025135961 5093.225827516575919 0.972228624072748 5094.923852447514946 0.981098310757890 5096.622443481110167 0.989770856717645 5098.321600806092647 0.999749560647602 5100.021324611253476 1.011092718209965 5101.721615085461053 1.023003427953677 5103.422472417631070 1.036162649698814 5105.123896796747431 1.049631208273822 5106.825888411852247 1.062697030107809 5108.528447452065848 1.074859186579287 5110.231574106557673 1.085063753011116 5111.935268564562648 1.093016897779637 5113.639531015380271 1.101143842465090 5115.344361648368249 1.110095195213785 5117.049760652962505 1.120623621161449 5118.755728218646254 1.134034056915610 5120.462264534971837 1.150619838725316 5122.169369791548888 1.168784776695639 5123.877044178067081 1.185334879251360 5125.585287884261561 1.197019525167702 5127.294101099937507 1.205040448689255 5129.003484014958303 1.210419775018784 5130.713436819265553 1.215385293273742 5132.423959702849061 1.223197298112918 5134.135052855766844 1.233745348363998 5135.846716468135128 1.243644685645155 5137.558950730148354 1.250543400469471 5139.271755832050985 1.257218175993670 5140.985131964152970 1.267300289019759 5142.699079316826101 1.278940532757717 5144.413598080518568 1.290953996151052 5146.128688445727676 1.303621599802896 5147.844350603018029 1.315766792239199 5149.560584743013351 1.325437916112824 5151.277391056418310 1.332633532062743 5152.994769733983048 1.339517109289961 5154.712720966526831 1.347524509516796 5156.431244944929858 1.355625998306319 5158.150341860147819 1.363022679388295 5159.870011903186423 1.370833805237665 5161.590255265120504 1.379517011308692 5163.311072137088559 1.388237837909474 5165.032462710287291 1.395765598347325 5166.754427175992532 1.401985816404626 5168.476965725527407 1.407206283829247 5170.200078550286889 1.410265839066519 5171.923765841721433 1.411516629626712 5173.648027791363347 1.412131881464470 5175.372864590790414 1.414262873744986 5177.098276431653176 1.418777993534965 5178.824263505657655 1.424861954133031 5180.550826004589908 1.431610877075400 5182.277964120286924 1.438394377700900 5184.005678044652086 1.440356889053792 5185.733967969646983 1.440267165960467 5187.462834087316878 1.441923127116692 5189.192276589750691 1.445627347495684 5190.922295669110099 1.449078038344582 5192.652891517613170 1.450896897559487 5194.384064327558917 1.451218614730597 5196.115814291295464 1.448314466808086 5197.848141601238240 1.444246238999426 5199.581046449864516 1.441643956168484 5201.314529029727964 1.440722285066929 5203.048589533434097 1.441218800750243 5204.783228153654818 1.440972654701523 5206.518445083123879 1.439680287340930 5208.254240514652338 1.438432858795535 5209.990614641102184 1.437820832983024 5211.727567655403618 1.437796968507418 5213.465099750545050 1.436692805383934 5215.203211119597654 1.435881027036708 5216.941901955678986 1.436243310851391 5218.681172451977545 1.436022407070331 5220.421022801744584 1.434956138483795 5222.161453198292293 1.433188731688606 5223.902463835011986 1.431534061650690 5225.644054905344092 1.430890820253730 5227.386226602799070 1.430218816818685 5229.128979120945587 1.429639311888264 5230.872312653434165 1.427057497630259 5232.616227393962617 1.425554016339565 5234.360723536299702 1.423388440661257 5236.105801274272380 1.422027512221646 5237.851460801789472 1.420416726551077 5239.597702312807087 1.417132544918865 5241.344526001354097 1.413013714036433 5243.091932061513944 1.410048788294287 5244.839920687454651 1.408359042832960 5246.588492073392445 1.410453124630876 5248.337646413612674 1.411370398209574 5250.087383902459806 1.412189104707425 5251.837704734360159 1.414140548284634 5253.588609103789167 1.417179637392438 5255.340097205291386 1.421255793962677 5257.092169233470486 1.426604629995581 5258.844825383013813 1.433120246523087 5260.598065848653277 1.439819117908571 5262.351890825193550 1.444269088136478 5264.106300507501146 1.448280520442394 5265.861295090518979 1.449861888736862 5267.616874769240894 1.448545470162284 5269.373039738733496 1.447829985391584 5271.129790194117959 1.450936228232868 5272.887126330601859 1.455389480259146 5274.645048343438248 1.457817704639073 5276.403556427952935 1.459812675281316 5278.162650779533578 1.462896080428610 5279.922331593632407 1.466111126287281 5281.682599065778049 1.469233253841360 5283.443453391550975 1.472739717067951 5285.204894766602592 1.477718359442166 5286.966923386642520 1.481962231906216 5288.729539447462230 1.485070204814180 5290.492743144902306 1.487806812068130 5292.256534674876093 1.490986149059719 5294.020914233353324 1.494721316129091 5295.785882016387404 1.497414526578716 5297.551438220079945 1.496222610476013 5299.317583040604404 1.494494537610826 5301.084316674194270 1.498843108263881 5302.851639317163063 1.510516325124742 5304.619551165875237 1.523954297483989 5306.388052416765277 1.534458663187323 5308.157143266328603 1.538997796501297 5309.926823911140673 1.534843648480062 5311.697094547826055 1.521417635781625 5313.467955373083896 1.504011241098846 5315.239406583670643 1.492120663853240 5317.011448376424596 1.490881630942682 5318.784080948233168 1.494533445860706 5320.557304496056531 1.496551558365645 5322.331119216913066 1.495576252487388 5324.105525307905737 1.492580676123697 5325.880522966184799 1.487772419616261 5327.656112388971451 1.481514295363193 5329.432293773553283 1.474593812381176 5331.209067317279732 1.467997754463465 5332.986433217579361 1.462749763603492 5334.764391671933481 1.458746218140954 5336.542942877891619 1.454730696675009 5338.322087033065145 1.449786778693565 5340.101824335149104 1.444810026194479 5341.882154981885833 1.440227474965958 5343.663079171088611 1.435708531671282 5345.444597100634383 1.432398775274500 5347.226708968479215 1.433238366584232 5349.009414972631930 1.438434550499187 5350.792715311167740 1.441854707397155 5352.576610182228251 1.435302935701587 5354.361099784034195 1.418784112623030 5356.146184314857237 1.398878182350497 5357.931863973039071 1.381948259034094 5359.718138956983239 1.371962579460686 5361.505009465176954 1.372465440151611 5363.292475696154725 1.379934058997811 5365.080537848523818 1.385043367837747 5366.869196120953347 1.383223562795605 5368.658450712192462 1.377457630776853 5370.448301821043060 1.372134879242039 5372.238749646377983 1.367735839984159 5374.029794387128277 1.362657046299529 5375.821436242312302 1.357308864773987 5377.613675410993892 1.353755614851158 5379.406512092312369 1.354704303578468 5381.199946485465262 1.358268912008852 5382.993978789734683 1.362159037458984 5384.788609204451859 1.365129914342080 5386.583837929018955 1.367000443780438 5388.379665162907258 1.368666942581512 5390.176091105648084 1.370566566842407 5391.973115956854599 1.372605712688043 5393.770739916189996 1.374594032555351 5395.568963183390224 1.376300200241209 5397.367785958253990 1.377604699949884 5399.167208440660943 1.377147017673983 5400.967230830539847 1.373539521697332 5402.767853327895864 1.367567522937004 5404.569076132790542 1.363349950336457 5406.370899445370924 1.361174226156372 5408.173323465834983 1.360232461618071 5409.976348394451634 1.359667357200419 5411.779974431551636 1.360111022408677 5413.584201777548515 1.363727604899180 5415.389030632906724 1.371210056170878 5417.194461198163481 1.379831645260934 5419.000493673915116 1.385379979699557 5420.807128260844365 1.385644937267902 5422.614365159682166 1.383520648873101 5424.422204571232214 1.382938454601418 5426.230646696361873 1.384091447477093 5428.039691736017630 1.383908498765550 5429.849339891201453 1.381579498451941 5431.659591362983520 1.380347274400534 5433.470446352497675 1.381124809174628 5435.281905060961435 1.383136017055133 5437.093967689643250 1.386173174898396 5438.906634439882509 1.390084999664741 5440.719905513086815 1.393478815328665 5442.533781110723794 1.395086513969722 5444.348261434349297 1.395455358777402 5446.163346685563738 1.394197453077651 5447.979037066045748 1.390988349206974 5449.795332777530348 1.386708171594253 5451.612234021842596 1.384708302469483 5453.429741000852118 1.385874368342852 5455.247853916505846 1.387877608150497 5457.066572970808920 1.390255336255944 5458.885898365853791 1.392341430493946 5460.705830303782932 1.394300422257486 5462.526368986808848 1.396276659309904 5464.347514617209526 1.397140016911523 5466.169267397344811 1.398919233503495 5467.991627529627294 1.401365248094526 5469.814595216540511 1.399460159582041 5471.638170660630749 1.401358159389920 5473.462354064528881 1.407091142306714 5475.287145630916712 1.414648808010722 5477.112545562547893 1.422690382900949 5478.938554062240655 1.429952676428086 5480.765171332895079 1.435643105750985 5482.592397577462179 1.440606089090098 5484.420232998969368 1.443400791430981 5486.248677800501355 1.443680613786149 5488.077732185231071 1.442586978212136 5489.907396356381469 1.441142604345089 5491.737670517248262 1.439794168878181 5493.568554871189917 1.438737948565544 5495.400049621647668 1.438373108150992 5497.232154972117314 1.438871160445394 5499.064871126165599 1.439550254636094 5500.898198287427476 1.440487543988085 5502.732136659599746 1.442222717317770 5504.566686446465610 1.444667006844185 5506.401847851858292 1.446694106522523 5508.237621079682867 1.447839462120420 5510.074006333910802 1.448420902208569 5511.911003818595418 1.449486834599598 5513.748613737840969 1.451586428653654 5515.586836295828107 1.454403379863274 5517.425671696795689 1.456974543324257 5519.265120145071705 1.458245370134712 5521.105181845034167 1.457191792250501 5522.945857001133845 1.452169722208340 5524.787145817883356 1.441544556450286 5526.629048499882629 1.425633438842297 5528.471565251782522 1.406800366164297 5530.314696278306656 1.387478617091947 5532.158441784240495 1.370456321065303 5534.002801974457725 1.359569710657385 5535.847777053881146 1.354999976424465 5537.693367227507224 1.354448052146866 5539.539572700396093 1.356387353772190 5541.386393677693377 1.359831199538696 5543.233830364596542 1.364219673572003 5545.081882966374906 1.368962674288343 5546.930551688361447 1.372439671546491 5548.779836735978279 1.374514532848346 5550.629738314692077 1.375358357172824 5552.480256630050462 1.375162120806064 5554.331391887658356 1.374887332630512 5556.183144293210717 1.375731449242530 5558.035514052451617 1.378246166120834 5559.888501371199709 1.381954892484849 5561.742106455342764 1.386121074507460 5563.596329510830401 1.390797436040534 5565.451170743699549 1.395889396682736 5567.306630360038071 1.400410184240138 5569.162708566007495 1.401981489533189 5571.019405567834838 1.399304082649163 5572.876721571828966 1.394952264679618 5574.734656784352410 1.392045480008464 5576.593211411844095 1.393593889848598 5578.452385660804794 1.403938090686849 5580.312179737818951 1.422962135382072 5582.172593849525583 1.443843409515832 5584.033628202636464 1.461983243688396 5585.895283003928853 1.475301995408207 5587.757558460264590 1.482414647715781 5589.620454778556450 1.483480058665199 5591.483972165794512 1.481035360563036 5593.348110829028883 1.477469480958360 5595.212870975397891 1.474648343833842 5597.078252812091705 1.473828701479239 5598.944256546375073 1.472708718543921 5600.810882385575496 1.466999282888449 5602.678130537107791 1.457135764966442 5604.546001208438611 1.448568230834662 5606.414494607108281 1.446375217217830 5608.283610940721701 1.448396082979020 5610.153350416971080 1.447709826569495 5612.023713243597740 1.443713382444964 5613.894699628420312 1.440886874919742 5615.766309779326548 1.442401129891866 5617.638543904266953 1.445784093433995 5619.511402211279346 1.447787143777002 5621.384884908454296 1.448794354061772 5623.258992203955131 1.452449741150786 5625.133724306009753 1.458669565800537 5627.009081422935196 1.465111037817471 5628.885063763097605 1.469310597848621 5630.761671534939524 1.469422687914528 5632.638904946967159 1.463084342500587 5634.516764207773122 1.451317071125811 5636.395249526003681 1.441055027700415 5638.274361110377868 1.437030890214114 5640.154099169682013 1.437866611339423 5642.034463912787032 1.440855743546674 5643.915455548614773 1.445607592476253 5645.797074286166207 1.452681532109296 5647.679320334504155 1.460552431032034 5649.562193902777835 1.465093354695117 5651.445695200189220 1.462618336479045 5653.329824436017589 1.456410680939029 5655.214581819604973 1.457162673633605 5657.099967560378900 1.466009940506529 5658.985981867821465 1.471549995004850 5660.872624951491161 1.464686108797975 5662.759897021007419 1.451440784667930 5664.647798286079706 1.442634771575482 5666.536328956468424 1.439665484507876 5668.425489242010372 1.434326998896424 5670.315279352606922 1.423443821033727 5672.205699498246759 1.408242845494727 5674.096749888969498 1.391529712365643 5675.988430734892063 1.376007865649689 5677.880742246202317 1.361364042379311 5679.773684633150879 1.348078284783107 5681.667258106075678 1.337019777227955 5683.561462875368306 1.328640359445647 5685.456299151495841 1.323090356498982 5687.351767144990845 1.319870283379764 5689.247867066470462 1.315858487889245 5691.144599126608227 1.304959440409958 5693.041963536152252 1.286725422009021 5694.939960505914314 1.267861170261766 5696.838590246794411 1.253020887164745 5698.737852969746200 1.240143984794254 5700.637748885797919 1.226106776866778 5702.538278206045106 1.212055227069423 5704.439441141667885 1.202675546096330 5706.341237903900947 1.200281670508882 5708.243668704055381 1.199515868076688 5710.146733753505941 1.194333136608883 5712.050433263717423 1.186897733079839 5713.954767446203732 1.183906795472650 5715.859736512559721 1.188330941570292 5717.765340674442086 1.197693430337714 5719.671580143596657 1.208225368374439 5721.578455131821102 1.217938086986517 5723.485965850990397 1.227234594766863 5725.394112513045002 1.238020567175909 5727.302895330012689 1.254061746277454 5729.212314513975798 1.275085173486004 5731.122370277089431 1.294419101401868 5733.033062831578718 1.308718950012377 5734.944392389752466 1.316197183122770 5736.856359163976776 1.316567504120215 5738.768963366690514 1.313689793680214 5740.682205210406210 1.314080018576072 5742.596084907700060 1.319351657449768 5744.510602671238303 1.327011774165815 5746.425758713737196 1.337892698278137 5748.341553247993033 1.348461492458751 5750.257986486866685 1.352803341085372 5752.175058643305420 1.350754992489812 5754.092769930312897 1.346842428796394 5756.011120560966447 1.342302361988198 5757.930110748412517 1.338177728056106 5759.849740705882141 1.334893610000561 5761.770010646661831 1.334567836289816 5763.690920784115406 1.339980651598938 5765.612471331671259 1.349398912381916 5767.534662502846913 1.359313614758949 5769.457494511213554 1.366398937439030 5771.380967570418761 1.367621663037135 5773.305081894175601 1.361918658566397 5775.229837696287177 1.354088477089465 5777.155235190608437 1.349341524333294 5779.081274591073452 1.347046255819170 5781.007956111679960 1.343199840150625 5782.935279966514827 1.335163309059587 5784.863246369721310 1.324637269960886 5786.791855535515424 1.315239920838160 5788.721107678184126 1.312637671181941 5790.651003012097135 1.321326562300944 5792.581541751684199 1.339067804238918 5794.512724111447824 1.357251828250432 5796.444550305965095 1.370170707874728 5798.377020549875851 1.378343355524617 5800.310135057912703 1.384123859232896 5802.243894044860099 1.391609437285732 5804.178297725578886 1.403958863453270 5806.113346314996306 1.419127639408735 5808.049040028132367 1.431564214871000 5809.985379080056191 1.438749042530974 5811.922363685916935 1.441914700047018 5813.859994060929239 1.441326921817096 5815.798270420396875 1.437201374899056 5817.737192979679094 1.430282898090220 5819.676761954210633 1.422863246578806 5821.616977559493534 1.418050241149375 5823.557840011118969 1.418128062087734 5825.499349524732679 1.425173469171890 5827.441506316057712 1.438381440166605 5829.384310600884419 1.452344939619742 5831.327762595090462 1.461359601767788 5833.271862514608074 1.465806210304574 5835.216610575451341 1.468747664629002 5837.162006993696195 1.472227550196755 5839.108051985507700 1.475230010705709 5841.054745767110035 1.476956460893119 5843.002088554800139 1.474961009451153 5844.950080564945893 1.466760666059720 5846.898722014000668 1.454978594690350 5848.848013118475137 1.444225678751854 5850.797954094957277 1.437035788426612 5852.748545160100548 1.432786713864809 5854.699786530650272 1.432239444376016 5856.651678423404519 1.436426983682591 5858.604221055240487 1.443307805981876 5860.557414643106313 1.446953409022502 5862.511259404018347 1.450397724192110 5864.465755555082069 1.460235799562927 5866.420903313458439 1.475758997361076 5868.376702896385723 1.490063329991548 5870.333154521169490 1.498408422366974 5872.290258405203531 1.500104329273152 5874.248014765938933 1.494733905133319 5876.206423820905002 1.485158419698246 5878.165485787696525 1.474466967456193 5880.125200883996513 1.463694984539496 5882.085569327548910 1.452530822435875 5884.046591336169513 1.441393824245439 5886.008267127745967 1.431182388844057 5887.970596920252319 1.421628554408394 5889.933580931719916 1.410856512197072 5891.897219380258321 1.395497568537419 5893.861512484043487 1.376406312965435 5895.826460461341412 1.356763982636349 5897.792063530474479 1.338849042068104 5899.758321909843289 1.323185881072215 5901.725235817914836 1.308876008901274 5903.692805473247063 1.293787432732840 5905.661031094452483 1.275087054629753 5907.629912900221825 1.253884212885789 5909.599451109315851 1.233278766731212 5911.569645940582632 1.214058751064267 5913.540497612928448 1.195564231947637 5915.512006345334157 1.176233895270027 5917.484172356858835 1.154418374507894 5919.456995866625221 1.131271816601640 5921.430477093847003 1.105944185375529 5923.404616257794260 1.076823389348044 5925.379413577817104 1.045555971537387 5927.354869273329314 1.016422699668215 5929.330983563839254 0.992046526484410 5931.307756668909860 0.972441018167907 5933.285188808181374 0.957987414195905 5935.263280201363159 0.947694158262046 5937.242031068253709 0.938942446491893 5939.221441628709727 0.928575974777937 5941.201512102666129 0.914478202879126 5943.182242710123319 0.896103444494653 5945.163633671176285 0.873697901587477 5947.145685205970949 0.848603935184409 5949.128397534737815 0.824260378349910 5951.111770877771050 0.802573986846719 5953.095805455456684 0.785865938675564 5955.080501488238951 0.775231557367833 5957.065859196638485 0.767330156869879 5959.051878801244129 0.756895938203222 5961.038560522737498 0.741407406689510 5963.025904581854775 0.719983313706827 5965.013911199412178 0.692427328366993 5967.002580596294138 0.663522592684978 5968.991912993473306 0.636285262044580 5970.981908611984181 0.610679542623958 5972.972567672934019 0.585869939580409 5974.963890397502837 0.563106362414800 5976.955877006960691 0.537833516878417 5978.948527722634026 0.508765443934751 5980.941842765925685 0.483290131629455 5982.935822358318546 0.463687262983621 5984.930466721358243 0.445991710622994 5986.925776076684997 0.428077640965158 5988.921750645991779 0.412398634740246 5990.918390651056143 0.401025199024332 5992.915696313718399 0.390344169762854 5994.913667855915264 0.374996486276007 5996.912305499636204 0.355317012253196 5998.911609466953450 0.333849485073562 6000.911579980005627 0.312398976848683 6002.912217261022306 0.292399819732651 6004.913521532293089 0.274903377464259 6006.915493016182154 0.260725625899907 6008.918131935126439 0.250166661031631 6010.921438511652923 0.240888857534653 6012.925412968345881 0.228943288561949 6014.930055527868717 0.213814477325672 6016.935366412952135 0.198139637987433 6018.941345846424156 0.185319199108654 6020.947994051161004 0.180088918256344 6022.955311250127124 0.185618616724702 6024.963297666348808 0.198705030647654 6026.971953522950571 0.214399907323585 6028.981279043107861 0.227675901282925 6030.991274450080709 0.233663440630202 6033.001939967194630 0.234046176378248 6035.013275817869726 0.237779189157103 6037.025282225582487 0.249224369269586 6039.037959413888530 0.265042196539516 6041.051307606411683 0.281500911401986 6043.065327026870364 0.294453097389861 6045.080017899037557 0.300976523590366 6047.095380446769923 0.300183813961561 6049.111414893994151 0.291074460414479 6051.128121464709693 0.277010634562754 6053.145500383006947 0.268142525481028 6055.163551873030883 0.267779436732915 6057.182276159012872 0.271450310152993 6059.201673465247950 0.277031933373713 6061.221744016124831 0.284308884269405 6063.242488036091345 0.293012444873920 6065.263905749673540 0.301462351281661 6067.285997381467496 0.307255107511237 6069.308763156162968 0.310307820261993 6071.332203298504282 0.312056697596754 6073.356318033319440 0.313689816013721 6075.381107585502832 0.316985903354212 6077.406572180045259 0.322047769808819 6079.432712041989362 0.325423593827362 6081.459527396464182 0.324006242554920 6083.487018468663337 0.318480179678612 6085.515185483877758 0.310884668036200 6087.544028667452039 0.305216254734691 6089.573548244813537 0.306176902778463 6091.603744441458730 0.313060072017279 6093.634617482976864 0.320299602636450 6095.666167595013576 0.325085607063093 6097.698395003298174 0.327342586163058 6099.731299933626360 0.328335377419372 6101.764882611889334 0.334126291804277 6103.799143264033773 0.349382322874831 6105.834082116090940 0.371012461039505 6107.869699394162126 0.393300690310991 6109.905995324423202 0.413142854734124 6111.942970133139170 0.426872911856490 6113.980624046636876 0.435259886758062 6116.018957291322295 0.443741101437856 6118.057970093667791 0.454148508164346 6120.097662680245776 0.465282056203174 6122.138035277681411 0.477022867169430 6124.179088112682621 0.492495537986482 6126.220821412027362 0.514559027716038 6128.263235402586361 0.540721702898534 6130.306330311289457 0.566945337520852 6132.350106365146530 0.591046286743180 6134.394563791237488 0.611604975607040 6136.439702816736826 0.629489750542333 6138.485523668876340 0.647960334524161 6140.532026574970587 0.668494549520926 6142.579211762399609 0.688861922153634 6144.627079458642584 0.708360120217028 6146.675629891235076 0.729626834057400 6148.724863287791777 0.755252316319084 6150.774779876000139 0.789001571617428 6152.825379883641290 0.835569702867352 6154.876663538552748 0.884156515724680 6156.928631068656614 0.911202450458473 6158.981282701940472 0.914206792813286 6161.034618666491042 0.902915815536240 6163.088639190449612 0.884829402113895 6165.143344502042055 0.871178656608981 6167.198734829560635 0.869382662294028 6169.254810401396753 0.878688229875426 6171.311571445995469 0.896123931350309 6173.369018191886425 0.917684007285875 6175.427150867673845 0.939355220818757 6177.485969702034708 0.960201566108578 6179.545474923737856 0.980689287619838 6181.605666761610337 1.000375376057651 6183.666545444564690 1.017574496143491 6185.728111201578940 1.031890645430899 6187.790364261729337 1.046392195977923 6189.853304854148519 1.062006870642104 6191.916933208052797 1.076005395970445 6193.981249552727604 1.086322178236476 6196.046254117553872 1.090839343737002 6198.111947131969828 1.088273688007380 6200.178328825497374 1.085436991281262 6202.245399427729353 1.092960297454674 6204.313159168350467 1.106157240302318 6206.381608277107262 1.113254837989337 6208.450746983827230 1.109638990017516 6210.520575518407895 1.093751442732544 6212.591094110843187 1.070776206161249 6214.662302991183424 1.060348081451601 6216.734202389563507 1.073889013253621 6218.806792536189278 1.102399072146249 6220.880073661360257 1.136447420607251 6222.954045995434171 1.165787528732434 6225.028709768853332 1.180276269164773 6227.104065212129171 1.182021376429786 6229.180112555869528 1.180032055503101 6231.256852030739537 1.176594220588867 6233.334283867488921 1.172430576632623 6235.412408296935610 1.169953541805520 6237.491225549996670 1.172195872111953 6239.570735857645559 1.178433657161379 6241.650939450937585 1.183689485896520 6243.731836561006276 1.184568953790438 6245.813427419057916 1.181841924309186 6247.895712256391562 1.180886185367952 6249.978691304366293 1.186177196635693 6252.062364794424866 1.189078328108862 6254.146732958078246 1.197408886321932 6256.231796026937445 1.214209750114697 6258.317554232669863 1.240272241044589 6260.404007807026574 1.268782499556064 6262.491156981826862 1.286926207662705 6264.579001988991877 1.294547608771764 6266.667543060497337 1.299483970599181 6268.756780428401726 1.304248784394543 6270.846714324838103 1.309116775512392 6272.937344982033210 1.314136973685573 6275.028672632272901 1.317705365564783 6277.120697507927616 1.319379809404420 6279.213419841436917 1.323517892532619 6281.306839865339498 1.334043955108305 6283.400957812230445 1.351318080225829 6285.495773914790334 1.373323266010990 6287.591288405768864 1.396672825550210 6289.687501518014869 1.416763368784263 6291.784413484434481 1.433967482996281 6293.882024538017504 1.449977903126333 6295.980334911825594 1.463507408073136 6298.079344839016812 1.471457004049212 6300.179054552808338 1.474244988363940 6302.279464286501934 1.476540161013950 6304.380574273474849 1.481389372946568 6306.482384747179822 1.487873878109920 6308.584895941161449 1.494117260449692 6310.688108089027082 1.496676898258588 6312.792021424466839 1.492414158017242 6314.896636181241774 1.484349418322781 6317.001952593212991 1.474864635908291 6319.107970894295249 1.464404787018385 6321.214691318492441 1.452565001123007 6323.322114099877581 1.440317577390775 6325.430239472620997 1.429531283637162 6327.539067670953955 1.420900417183392 6329.648598929189575 1.414387559565265 6331.758833481713737 1.409750077270348 6333.869771563010545 1.405405862101055 6335.981413407621403 1.399598489666278 6338.093759250174116 1.391320284057023 6340.206809325366521 1.380917419494610 6342.320563867995588 1.369996585930938 6344.435023112914678 1.362245007406136 6346.550187295066280 1.360108201163154 6348.666056649461098 1.364738397332559 6350.782631411208058 1.371293982957799 6352.899911815476116 1.372684508440193 6355.017898097518810 1.368020316780859 6357.136590492661526 1.359494868459666 6359.255989236326968 1.349905567372087 6361.376094563997867 1.343677449278958 6363.496906711241536 1.341887249912449 6365.618425913697138 1.339721610671683 6367.740652407102061 1.336185527305775 6369.863586427252812 1.333837116628431 6371.987228210030480 1.335021358013399 6374.111577991396189 1.342062907100612 6376.236636007381094 1.354675988151509 6378.362402494116395 1.370973790341148 6380.488877687792410 1.390855129147051 6382.616061824683129 1.410761837787729 6384.743955141136212 1.426000074427557 6386.872557873597543 1.435980477007587 6389.001870258572126 1.442041370032948 6391.131892532649545 1.445942178228870 6393.262624932493054 1.450868103985796 6395.394067694864134 1.457531663821278 6397.526221056581562 1.465270815281744 6399.659085254553247 1.475034127190890 6401.792660525756219 1.487365356883956 6403.926947107267551 1.501392900188501 6406.061945236225256 1.516944439318746 6408.197655149849197 1.533138236137249 6410.334077085435638 1.543584957799541 6412.471211280376338 1.544986101942816 6414.609057972124901 1.541902349215028 6416.747617398219518 1.538097929559144 6418.886889796272953 1.535971028357223 6421.026875403993472 1.537621605846991 6423.167574459150273 1.540925469223273 6425.308987199600779 1.543226486427236 6427.451113863271530 1.546188847546638 6429.593954688190934 1.551327593260475 6431.737509912444693 1.556734047137589 6433.881779774206734 1.558578179772714 6436.026764511728288 1.557221527233451 6438.172464363335166 1.556428114022937 6440.318879567450495 1.555338303085701 6442.466010362559246 1.550708988483533 6444.613856987231884 1.545845733523452 6446.762419680110725 1.547582391280791 6448.911698679938127 1.556848551182749 6451.061694225516476 1.568542877264182 6453.212406555734560 1.577991160753099 6455.363835909553018 1.581344178311751 6457.515982526033440 1.577305336672160 6459.668846644295627 1.570586289364254 6461.822428503548508 1.564457878854519 6463.976728343070135 1.558689565295186 6466.131746402243152 1.551919747837360 6468.287482920503862 1.541327073695987 6470.443938137381338 1.526203587175932 6472.601112292473772 1.512695722811624 6474.759005625482132 1.506209693634058 6476.917618376162864 1.507626863753668 6479.076950784364271 1.517231870551089 6481.237003090004691 1.523081995416143 6483.397775533103413 1.508093040261960 6485.559268353737934 1.478131259236728 6487.721481792077611 1.449802463605740 6489.884416088358194 1.427700177314461 6492.048071482920932 1.408399113303150 6494.212448216165285 1.391055669532676 6496.377546528578023 1.377777662944057 6498.543366660716856 1.367436556161036 6500.709908853243178 1.354958278554271 6502.877173346878408 1.339690495606012 6505.045160382427639 1.324346009507413 6507.213870200778729 1.309218460988801 6509.383303042893203 1.291061356003021 6511.553459149832634 1.269507720535342 6513.724338762719526 1.251147287484447 6515.895942122760971 1.241296473616080 6518.068269471241365 1.244539508867837 6520.241321049541511 1.261681925884016 6522.415097099107697 1.286977150215287 6524.589597861468064 1.314429115515677 6526.764823578228970 1.332202607129538 6528.940774491094089 1.329219771847850 6531.117450841829850 1.307658830445061 6533.294852872289994 1.274109338695042 6535.472980824399201 1.237291353507481 6537.651834940187655 1.207478622601209 6539.831415461741926 1.185765554942525 6542.011722631237717 1.170754581606144 6544.192756690924398 1.168379691152863 6546.374517883154112 1.183517298580411 6548.557006450335393 1.205494837736309 6550.740222634969541 1.222165091925802 6552.924166679628797 1.233199075244976 6555.108838826986357 1.241890420766363 6557.294239319777262 1.249359093481540 6559.480368400823863 1.256153393886325 6561.667226313022184 1.263602057549650 6563.854813299371017 1.273246756366988 6566.043129602927365 1.283370491601023 6568.232175466838271 1.290336001115969 6570.421951134324445 1.293462851235368 6572.612456848707552 1.296225913167654 6574.803692853370194 1.299231628821013 6576.995659391783192 1.300031718209229 6579.188356707498315 1.296201947395567 6581.381785044142816 1.283446509025097 6583.575944645443087 1.260535297596913 6585.770835755188273 1.229913438781397 6587.966458617255739 1.198365107129729 6590.162813475595613 1.183220943497808 6592.359900574262610 1.194255795491854 6594.557720157368749 1.219822378040952 6596.756272469117903 1.251925178382702 6598.955557753786707 1.281490580721994 6601.155576255752749 1.303039576200165 6603.356328219455463 1.316907195354476 6605.557813889425233 1.324901436406497 6607.760033510262474 1.332144112570208 6609.962987326672192 1.341319629943923 6612.166675583421238 1.348615201888660 6614.371098525362868 1.351608656220445 6616.576256397426732 1.350954475021717 6618.782149444643437 1.347568490311104 6620.988777912106343 1.342862652182395 6623.196142044996122 1.338581472345260 6625.404242088567116 1.335522075227446 6627.613078288179167 1.334152480539690 6629.822650889252145 1.334292331441988 6632.032960137292321 1.334853834745327 6634.244006277883273 1.334665780203693 6636.455789556711352 1.332806617437521 6638.668310219522937 1.326500142342082 6640.881568512153535 1.325375252781673 6643.095564680520511 1.323427999100213 6645.310298970616714 1.320445581497816 6647.525771628537768 1.318222437597689 6649.741982900441144 1.316260189715201 6651.958933032570712 1.313313262271918 6654.176622271248561 1.309018508865758 6656.395050862898643 1.303738229605413 6658.614219054004934 1.298347292974035 6660.834127091142363 1.293251915269479 6663.054775220961346 1.287667183314969 6665.276163690213252 1.280371560686617 6667.498292745712206 1.271240836198744 6669.721162634361463 1.260671634237454 6671.944773603140675 1.249522756565986 6674.169125899130449 1.239046333600759 6676.394219769474148 1.230013455582646 6678.620055461404263 1.223155277052913 6680.846633222229684 1.219548495167329 6683.073953299362074 1.218648840837499 6685.302015940273122 1.218738459985919 6687.530821392526377 1.218257704202699 6689.760369903759965 1.216561384742646 6691.990661721714787 1.213179465777515 6694.221697094195406 1.209364843388363 6696.453476269092789 1.205695142725168 6698.685999494377029 1.202756155633586 6700.919267018118262 1.203635670933568 6703.153279088453019 1.208447001370765 6705.388035953602412 1.211166465883778 6707.623537861867590 1.209696654115738 6709.859785061650655 1.208312757525652 6712.096777801416465 1.208459827502181 6714.334516329719918 1.211081598659320 6716.573000895199584 1.216283887706302 6718.812231746567704 1.221006279890392 6721.052209132642020 1.220982030977523 6723.292933302302117 1.206854514629817 6725.534404504516715 1.180188799890699 6727.776622988332747 1.155826854582672 6730.019589002897192 1.146470006153946 6732.263302797424330 1.162213157068216 6734.507764621213937 1.203775634885990 6736.752974723644002 1.244184325171019 6738.998933354196197 1.265238205435165 6741.245640762414041 1.271826513230349 6743.493097197932912 1.268471954824123 6745.741302910461854 1.260511704763451 6747.990258149817237 1.253359409247005 6750.239963165873633 1.249069181040228 6752.490418208600204 1.248249376820457 6754.741623528039781 1.247228112320503 6756.993579374340698 1.244318244149170 6759.246285997713130 1.241356152999728 6761.499743648456388 1.239757689637655 6763.753952576949814 1.240029644245007 6766.008913033674617 1.239786571681826 6768.264625269173848 1.232541759263938 6770.521089534082421 1.220477230778829 6772.778306079112554 1.213699347115894 6775.036275155080148 1.214230308992570 6777.294997012862041 1.214433439931388 6779.554471903428748 1.208822962737595 6781.814700077825364 1.198334361794811 6784.075681787202484 1.187522504106747 6786.337417282774368 1.181400631532756 6788.599906815843497 1.185323643702341 6790.863150637797844 1.204404856514670 6793.127149000102690 1.230685183951297 6795.391902154326999 1.247025085152045 6797.657410352103398 1.243388242693586 6799.923673845153644 1.210394758666084 6802.190692885278622 1.164886197706812 6804.458467724383809 1.135271103682797 6806.726998614437434 1.126372448236095 6808.996285807497770 1.129614710892741 6811.266329555700395 1.137052736981507 6813.537130111288207 1.139782139143929 6815.808687726563221 1.137572649900727 6818.081002653921132 1.131059866650158 6820.354075145835850 1.121679450322954 6822.627905454883148 1.111897758691900 6824.902493833705194 1.102152726908146 6827.177840535034193 1.090569585244014 6829.453945811677841 1.077876127281349 6831.730809916552971 1.065320142392219 6834.008433102634626 1.054536120058855 6836.286815622994254 1.046167026402910 6838.565957730778791 1.036047917410748 6840.845859679238856 1.019065730278101 6843.126521721689642 0.996508126670012 6845.407944111539109 0.969308200245911 6847.690127102271617 0.943499201286635 6849.973070947477026 0.928051444870164 6852.256775900807042 0.923775005487785 6854.541242216009778 0.920197290021671 6856.826470146912470 0.916722508851236 6859.112459947422394 0.915761268827597 6861.399211871554144 0.914168606238629 6863.686726173382340 0.906866380744518 6865.975003107076191 0.898380090071598 6868.264042926882212 0.897911314260959 6870.553845887150601 0.902330769050052 6872.844412242298858 0.906005149081802 6875.135742246831796 0.907951637849144 6877.427836155337900 0.907587099410420 6879.720694222505699 0.907034466621271 6882.014316703091026 0.907221526302621 6884.308703851940663 0.908423444266866 6886.603855923980518 0.911956889679081 6888.899773174239272 0.916913402087739 6891.196455857814726 0.920890474427830 6893.493904229891086 0.926858515205166 6895.792118545735320 0.938501052409472 6898.091099060718079 0.950610208588634 6900.390846030274588 0.957202764399498 6902.691359709931930 0.961123632854440 6904.992640355296317 0.966422714302381 6907.294688222078548 0.974194459538994 6909.597503566055821 0.988831209658472 6911.901086643096278 1.013427869256022 6914.205437709146281 1.037133763408794 6916.510557020259512 1.050137805419717 6918.816444832552406 1.054403141551386 6921.123101402235079 1.058538227836405 6923.430526985595861 1.062232149311851 6925.738721839029495 1.065542945755902 6928.047686218995295 1.071299691988370 6930.357420382044438 1.082428532158852 6932.667924584813591 1.091697584649627 6934.979199084018546 1.089120230861893 6937.291244136482419 1.075816431350275 6939.604059999091987 1.059318434088820 6941.917646928825889 1.045522853436841 6944.232005182743706 1.040447985169397 6946.547135018008703 1.042116351555441 6948.863036691852358 1.045228464105302 6951.179710461595278 1.046641439090859 6953.497156584639924 1.047024524678862 6955.815375318494262 1.045885673349411 6958.134366920729917 1.044410034358213 6960.454131649014016 1.038784728352382 6962.774669761090991 1.027405061360397 6965.095981514810774 1.014075154440471 6967.418067168092421 0.992712622368141 6969.740926978944117 0.970672289409739 6972.064561205454083 0.962065727909500 6974.388970105818771 0.966923316809948 6976.714153938299205 0.981332762620672 6979.040112961247360 0.998707764511990 6981.366847433097064 1.006579569310792 6983.694357612388558 1.007274488306529 6986.022643757727565 1.006727183585579 6988.351706127810758 1.005721892351800 6990.681544981417574 1.002450727590203 6993.012160577432951 0.994114498249200 6995.343553174806402 0.981324062260502 6997.675723032582027 0.968283599880067 7000.008670409889419 0.958050646626018 7002.342395565938205 0.953160531582686 7004.676898760044423 0.953587112605598 7007.012180251592326 0.957265139652853 7009.348240300056204 0.962262067853601 7011.685079164990384 0.963074572484943 7014.022697106059240 0.960482145478958 7016.361094382990814 0.961206503039630 7018.700271255606822 0.964951278661858 7021.040227983808109 0.967740877296194 7023.380964827604657 0.969784133887069 7025.722482047071935 0.971385666172672 7028.064779902377268 0.972617849746289 7030.407858653768926 0.974943238123281 7032.751718561604321 0.982567392508748 7035.096359886304526 1.003023842431840 7037.441782888385205 1.034273199321116 7039.787987828442056 1.054043368963161 7042.134974967178096 1.058454147780782 7044.482744565363646 1.051347299299217 7046.831296883860887 1.039926367045600 7049.180632183613852 1.037378086536889 7051.530750725672988 1.043480943920071 7053.881652771156951 1.047397076986474 7056.233338581275348 1.046617423700513 7058.585808417321459 1.043378899656914 7060.939062540693158 1.043336092727567 7063.293101212857437 1.050188903483658 7065.647924695373149 1.061988166260504 7068.003533249881002 1.073094165069036 7070.359927138128114 1.078722341509904 7072.717106621930725 1.083649796962287 7075.075071963197843 1.086646719520907 7077.433823423923968 1.085387178689956 7079.793361266185457 1.082301135613091 7082.153685752168712 1.081132140890723 7084.514797144123804 1.071965807123966 7086.876695704398117 1.059787573723834 7089.239381695415432 1.050231249404333 7091.602855379712310 1.046724359786585 7093.967117019889884 1.048568279232143 7096.332166878642965 1.055112954284331 7098.698005218747312 1.055810049004926 7101.064632303089638 1.053016374841447 7103.432048394620324 1.048834412287328 7105.800253756386155 1.044730533748063 7108.169248651513044 1.044191507988560 7110.539033343238771 1.042411015726288 7112.909608094863870 1.040129856967514 7115.280973169785284 1.035956569195620 7117.653128831482718 1.030348497232449 7120.026075343541379 1.025341750308511 7122.399812969616505 1.023200550783859 7124.774341973456103 1.023335452827894 7127.149662618889124 1.025171333702574 7129.525775169854569 1.022364523870753 7131.902679890357831 1.013947208892755 7134.280377044499801 1.001966237636536 7136.658866896461404 0.990976977063767 7139.038149710533617 0.984381347280771 7141.418225751074715 0.977097371434909 7143.799095282536655 0.968351019584679 7146.180758569454156 0.964175755521606 7148.563215876471077 0.965833283320860 7150.946467468295850 0.973924090991992 7153.330513609736045 0.981328943149731 7155.715354565685629 0.986121550200071 7158.100990601118610 0.994435124235745 7160.487421981120860 1.006304581184520 7162.874648970843737 1.011655881741564 7165.262671835535002 1.006141031420936 7167.651490840524275 0.984007997706982 7170.041106251248493 0.957404577357035 7172.431518333213717 0.950427015373102 7174.822727352022412 0.962043245241382 7177.214733573356170 0.985208940101003 7179.607537263008453 1.007720128901285 7182.001138686839113 1.019393301082850 7184.395538110803500 1.025163265378284 7186.790735800938819 1.029010603132801 7189.186732023392324 1.032043508074817 7191.583527044379480 1.034614161143985 7193.981121130211250 1.034071504592815 7196.379514547277722 1.035861407198164 7198.778707562082673 1.043369943001622 7201.178700441196270 1.053477847589350 7203.579493451283270 1.062510944718314 7205.981086859093011 1.066218404875868 7208.383480931482154 1.067223747397460 7210.786675935376479 1.071207605795057 7213.190672137798174 1.076807382167076 7215.595469805849461 1.076701262728588 7218.001069206746251 1.069428200541284 7220.407470607769028 1.047519829489881 7222.814674276295591 1.010595589536462 7225.222680479793780 0.967458265163563 7227.631489485812381 0.919135525508614 7230.041101562010226 0.869994584561957 7232.451516976117091 0.830368277439769 7234.862735995954608 0.808019056337474 7237.274758889429904 0.814677282352214 7239.687585924559244 0.847481213356791 7242.101217369428014 0.880461666875937 7244.515653492218007 0.894704651970777 7246.930894561191053 0.887010944407959 7249.346940844723576 0.865965954306028 7251.763792611255667 0.847895103893301 7254.181450129328368 0.837848964754370 7256.599913667562760 0.833882433023848 7259.019183494690878 0.832514224008189 7261.439259879513884 0.829874368442015 7263.860143090928432 0.825883461192250 7266.281833397913942 0.823543047536312 7268.704331069563523 0.824916627411815 7271.127636375034854 0.834542983601381 7273.551749583584751 0.850417838000152 7275.976670964550067 0.865743867744237 7278.402400787383158 0.872571876490778 7280.828939321602775 0.868113022032290 7283.256286836822255 0.872052176454811 7285.684443602739520 0.901373686700317 7288.113409889166178 0.945814920887079 7290.543185965979319 1.001889370148585 7292.973772103154261 1.061402592182757 7295.405168570748174 1.114365326201484 7297.837375638931007 1.165030155084039 7300.270393577940922 1.205121369279879 7302.704222658113395 1.228454144367226 7305.138863149873032 1.246245279093127 7307.574315323729934 1.272105532348307 7310.010579450302430 1.287790511236707 7312.447655800280700 1.281442833289925 7314.885544644450420 1.268165952124722 7317.324246253680030 1.259801746153777 7319.763760898952569 1.256651134097346 7322.204088851317465 1.253893947262514 7324.645230381921465 1.254341275482888 7327.087185761995897 1.258195632408664 7329.529955262883050 1.262512678118604 7331.973539155996150 1.265612641418297 7334.417937712842104 1.262038925072735 7336.863151205016038 1.254209697602344 7339.309179904220400 1.244501956145939 7341.756024082231306 1.227182869135240 7344.203684010917641 1.206427466659523 7346.652159962236510 1.189418392046722 7349.101452208255068 1.184040333070684 7351.551561021108682 1.191873991327769 7354.002486673032763 1.185967837491397 7356.454229436343667 1.152860450902393 7358.906789583473255 1.106353422672633 7361.360167386920693 1.061142782079157 7363.814363119282461 1.039979279262115 7366.269377053240532 1.041295838651735 7368.725209461588747 1.049306012827583 7371.181860617190978 1.060407264950722 7373.639330793006593 1.070112565586195 7376.097620262081364 1.063555268369930 7378.556729297573838 1.037754126152907 7381.016658172709867 1.012629358902652 7383.477407160816256 0.992268160087670 7385.938976535308029 0.969793320419637 7388.401366569686616 0.950445457327602 7390.864577537565310 0.940698381442396 7393.328609712627440 0.938039950875873 7395.793463368653647 0.932126458484474 7398.259138779509158 0.922330599931809 7400.725636219171975 0.912085535465765 7403.192955961691951 0.910128821104369 7405.661098281214436 0.920463301759114 7408.130063451970273 0.932031734679019 7410.599851748303990 0.939815172508255 7413.070463444628331 0.945415934364452 7415.541898815456079 0.948885926067400 7418.014158135384605 0.949359397685619 7420.487241679123144 0.945691052459629 7422.961149721451875 0.940946574538862 7425.435882537249199 0.933263486300153 7427.911440401478103 0.923438068534451 7430.387823589216168 0.911421716529252 7432.865032375608280 0.899181728237381 7435.343067035900276 0.885736400105678 7437.821927845422579 0.873329270205095 7440.301615079618387 0.869855301132396 7442.782129014001839 0.872614004638396 7445.263469924184392 0.874650384009881 7447.745638085863902 0.874406956194539 7450.228633774851914 0.871491236453254 7452.712457267029095 0.869829263912851 7455.197108838375243 0.878901624842058 7457.682588764963839 0.898368635871895 7460.168897322952034 0.916756313083824 7462.656034788609759 0.931941346512599 7465.144001438279702 0.941035221862063 7467.632797548400958 0.942503450699346 7470.122423395500846 0.943353019071967 7472.612879256217639 0.945172596897265 7475.104165407263281 0.944914887861038 7477.596282125445214 0.936873406684144 7480.089229687659099 0.923259336979689 7482.583008370913376 0.909351532499945 7485.077618452287425 0.902839435553561 7487.573060208959760 0.900468823677157 7490.069333918195298 0.897831620782686 7492.566439857371734 0.892080630011226 7495.064378303937701 0.883819328707518 7497.563149535442790 0.877876303451910 7500.062753829520261 0.877885814566701 7502.563191463918884 0.888311144348361 7505.064462716457456 0.898472061781804 7507.566567865054822 0.893668282340119 7510.069507187716226 0.878782111793837 7512.573280962559693 0.862723015611863 7515.077889467776004 0.843790553925918 7517.583332981654166 0.826857773025298 7520.089611782569591 0.817460561051097 7522.596726149012284 0.816649794369803 7525.104676359544101 0.829344738144318 7527.613462692825124 0.848346641894116 7530.123085427601836 0.856073981454140 7532.633544842737138 0.855778036373712 7535.144841217163048 0.853049428613554 7537.656974829912542 0.848659420474902 7540.169945960111363 0.847741487218445 7542.683754886969837 0.847684403456923 7545.198401889818342 0.840990100537667 7547.713887248050924 0.825469087748012 7550.230211241168945 0.810654631647448 7552.747374148753806 0.807545905625635 7555.265376250507870 0.813176241507227 7557.784217826199892 0.812800147749937 7560.303899155701401 0.809051506266788 7562.824420518969418 0.812435744945312 7565.345782196078289 0.817898454282451 7567.867984467170572 0.825406134012483 7570.391027612490689 0.835038479829275 7572.914911912369462 0.841358433087744 7575.439637647254131 0.843783605719435 7577.965205097661965 0.846177610589423 7580.491614544212098 0.860365321666950 7583.018866267607336 0.887439007657694 7585.546960548670540 0.911307713570400 7588.075897668291873 0.924088965145682 7590.605677907466088 0.926494705588671 7593.136301547270705 0.922658779772598 7595.667768868903295 0.919993367701130 7598.200080153627823 0.917303653765281 7600.733235682813756 0.902894772008073 7603.267235737915144 0.883281827478826 7605.802080600502450 0.871959210064111 7608.337770552217989 0.865245686558011 7610.874305874805032 0.861327086258733 7613.411686850092337 0.858366353702710 7615.949913760026902 0.854436576081221 7618.488986886626662 0.855919271324444 7621.028906512010508 0.866488007792833 7623.569672918391916 0.881356928074496 7626.111286388069857 0.890045625594478 7628.653747203462444 0.896000924262790 7631.197055647056914 0.909227990524383 7633.741212001443273 0.919928681405699 7636.286216549297933 0.917524619921749 7638.832069573414628 0.908750594697509 7641.378771356657126 0.905160169357885 7643.926322181993783 0.906893807086030 7646.474722332477540 0.913233278909413 7649.023972091278665 0.921295157268730 7651.574071741641092 0.924530067199760 7654.125021566907890 0.923572067388652 7656.676821850510350 0.921893155808378 7659.229472875997089 0.924608717169784 7661.782974926989482 0.930772054995464 7664.337328287208948 0.935104308427621 7666.892533240465127 0.938108356244281 7669.448590070684986 0.938288058132179 7672.005499061867340 0.930995299602884 7674.563260498112868 0.923542748397225 7677.121874663609560 0.921972556493272 7679.681341842663642 0.921632457780652 7682.241662319653187 0.918105819869952 7684.802836379056316 0.913714304777930 7687.364864305442097 0.912040884149098 7689.927746383495105 0.916478574157798 7692.491482897972674 0.920736307937729 7695.056074133733091 0.919298515365931 7697.621520375732871 0.913669591393096 7700.187821909012200 0.904904237440108 7702.754979018732229 0.890661292975526 7705.322991990124137 0.873775442697059 7707.891861108523699 0.862406696133856 7710.461586659352179 0.859519092764895 7713.032168928149986 0.861170274185308 7715.603608200530289 0.863295770341586 7718.175904762208120 0.875741514874797 7720.749058898986732 0.904237605680361 7723.323070896788522 0.955953532896107 7725.897941041605009 1.014225321774510 7728.473669619534121 1.054927846017295 7731.050256916761100 1.070864894521311 7733.627703219586692 1.069472435229026 7736.206008814388042 1.063251954018495 7738.785173987642338 1.066756975798893 7741.365199025915899 1.079353928854356 7743.946084215894189 1.098304154594135 7746.527829844334519 1.119987980785029 7749.110436198096977 1.139891817401820 7751.693903564130778 1.156460391635618 7754.278232229502464 1.169357392403542 7756.863422481353155 1.179636927076019 7759.449474606924923 1.188481231538813 7762.036388893548974 1.195038565728588 7764.624165628676565 1.200679180302141 7767.212805099831712 1.206481200716201 7769.802307594638478 1.214853687185090 7772.392673400813692 1.235448458141659 7774.983902806190599 1.261996323168398 7777.575996098676114 1.279287923541484 7780.168953566279924 1.280090565344842 7782.762775497109033 1.267159998815020 7785.357462179357753 1.249332006552371 7787.953013901339546 1.234780007239378 7790.549430951443355 1.204988273599649 7793.146713618157264 1.155293140498552 7795.744862190063031 1.106874560765488 7798.343876955857013 1.055220233088419 7800.943758204312871 1.010590659408360 7803.544506224305223 0.987934874762663 7806.146121304798726 0.980027059586869 7808.748603734876269 0.985092863791035 7811.351953803696233 0.994798381604290 7813.956171800519769 1.005740150698689 7816.561258014694431 1.014427728936549 7819.167212735692374 1.016714144626063 7821.774036253054874 1.008706175175388 7824.381728856430527 0.991351839780596 7826.990290835552514 0.975016397509315 7829.599722480279524 0.971473703500996 7832.210024080538460 0.979208735209786 7834.821195926364453 0.990228511789697 7837.433238307878128 1.003165903411817 7840.046151515323800 1.017558518565186 7842.659935839016725 1.026652659119179 7845.274591569376753 1.028419956286564 7847.890118996913770 1.013661446402313 7850.506518412257719 0.987175536266417 7853.123790106112210 0.970307247479832 7855.741934369284536 0.973235144793943 7858.360951492680215 0.993748487020129 7860.980841767292077 1.015960323494375 7863.601605484236643 1.032745018181399 7866.223242934700465 1.061406259613254 7868.845754409977417 1.112607639013943 7871.469140201449591 1.154523033264101 7874.093400600620043 1.132001055366611 7876.718535899064591 1.091252399384731 7879.344546388466370 1.105011619508180 7881.971432360595827 1.144279345345102 7884.599194107344374 1.165201987328236 7887.227831920678000 1.178367733379179 7889.857346092668195 1.179682483955332 7892.487736915474670 1.147069289524007 7895.119004681379010 1.094878895571104 7897.751149682737378 1.060064844861059 7900.384172212007797 1.043270125432267 7903.018072561742883 1.041383218065961 7905.652851024613483 1.042681084281431 7908.288507893364113 1.037868474521435 7910.925043460845700 1.031447726198613 7913.562458019999212 1.024341380802616 7916.200751863886580 1.009191749335042 7918.839925285643403 0.978507160528827 7921.479978578511691 0.943064936816174 7924.120912035820766 0.916794653307356 7926.762725951026368 0.900062497828196 7929.405420617653363 0.883923043918442 7932.048996329335750 0.872013902778463 7934.693453379795756 0.864251380593885 7937.338792062877474 0.859238031060874 7939.985012672499579 0.854151180448458 7942.632115502687157 0.840671525361672 7945.280100847562608 0.814284404295934 7947.928969001338373 0.750613539741546 7950.578720258348767 0.684463610404878 7953.229354913002680 0.668146537068835 7955.880873259816326 0.658137796506838 7958.533275593393228 0.611897315931963 7961.186562208460600 0.562739430866776 7963.840733399822057 0.516086661403131 7966.495789462383982 0.454540525731422 7969.151730691144621 0.408241986389738 7971.808557381225000 0.407581004598424 7974.466269827819815 0.433995174385694 7977.124868326231081 0.442192150978182 7979.784353171849943 0.434532902652791 7982.444724660190332 0.430139643053541 7985.105983086842571 0.430324443204248 7987.768128747500668 0.425888951415372 7990.431161937951401 0.409077351464639 7993.095082954102509 0.380120488776220 7995.759892091938127 0.354674167087400 7998.425589647546985 0.344495124259107 8001.092175917111490 0.343364519594893 8003.759651196933191 0.352305458981154 8006.428015783391857 0.374707128636344 8009.097269972970935 0.386124293179714 8011.767414062247553 0.376767120913033 8014.438448347918893 0.351754820084262 8017.110373126760351 0.320854581651170 8019.783188695651006 0.300631291904198 8022.456895351562707 0.323089009564883 8025.131493391590084 0.385522887642854 8027.806983112903254 0.480760730096312 8030.483364812778746 0.559206619070759 8033.160638788591314 0.573711214624510 8035.838805337808481 0.543199264652107 8038.517864758019641 0.515621246630042 8041.197817346891497 0.514018701137981 8043.878663402196253 0.528244553164065 8046.560403221796150 0.536251470431086 8049.243037103679853 0.531013741865720 8051.926565345908784 0.500080770874071 8054.610988246654415 0.473052030734171 8057.296306104175528 0.476340700197007 8059.982519216859146 0.485108861357193 8062.669627883163230 0.481666281908607 8065.357632401657611 0.468133696176596 8068.046533070999430 0.460792337932660 8070.736330189972250 0.472099095115398 8073.427024057435119 0.495667707478866 8076.118614972353498 0.511878302748634 8078.811103233784706 0.510490942475617 8081.504489140910664 0.500836847181435 8084.198772992987870 0.478739466983245 8086.893955089381052 0.459550857183318 8089.590035729547708 0.450867113572222 8092.287015213068116 0.453185032351443 8094.984893839598044 0.467466249618549 8097.683671908903307 0.482117663975773 8100.383349720837941 0.459879788811538 8103.083927575384223 0.406352265403295 8105.785405772597187 0.333391224373442 8108.487784612641008 0.273347565978633 8111.191064395780813 0.255315142909456 8113.895245422372682 0.262006075019605 8116.600327992896382 0.272626940279577 8119.306312407909900 0.273972870790921 8122.013198968077631 0.277674440664530 8124.720987974155832 0.298677746110906 8127.429679727028088 0.326371609316771 8130.139274527649832 0.345401206001284 8132.849772677089277 0.341679216881306 8135.561174476502856 0.297637004648129 8138.273480227175241 0.230057601457670 8140.986690230463864 0.169114276376271 8143.700804787838933 0.138677135653959 8146.415824200857969 0.129804387153042 8149.131748771207640 0.119521683568876 8151.848578800649193 0.103373915155404 8154.566314591052105 0.097201055193090 8157.284956444379532 0.103692049572517 8160.004504662718318 0.099113820718393 8162.724959548232619 0.067870827412924 8165.446321403195725 0.034945148349007 8168.168590529971880 0.025422786270320 8170.891767231052654 0.066321900401949 8173.615851809005107 0.122052286080598 8176.340844566505439 0.145052495253508 8179.066745806320796 0.162326765139659 8181.793555831347476 0.197711771861770 8184.521274944555444 0.277611935702422 8187.249903449024714 0.379706895091337 8189.979441647928070 0.454565282894861 8192.709889844563804 0.491249022564104 8195.441248342305698 0.493061570068606 8198.173517444640311 0.489174799459596 8200.906697455151516 0.505455472607027 8203.640788677519595 0.518322462315457 8206.375791415544882 0.525840317104195 8209.111705973113203 0.534634763536311 8211.848532654212249 0.557720742768259 8214.586271762926117 0.604090750100442 8217.324923603464413 0.677146547937570 8220.064488480114960 0.757888438339299 8222.804966697271084 0.822065344195716 8225.546358559424334 0.853911253719024 8228.288664371189952 0.871138883003159 8231.031884437259578 0.881008947888944 8233.776019062435807 0.885421447395970 8236.521068551614007 0.880810250667773 8239.267033209818692 0.877154671369913 8242.013913342145315 0.899857539313333 8244.761709253803929 0.939762546382453 8247.510421250097352 0.966035627984036 8250.260049636453914 0.953041985802402 8253.010594718380162 0.905939037344338 8255.762056801491781 0.880188958118427 8258.514436191500863 0.880042502249073 8261.267733194239554 0.864182430454830 8264.021948115623672 0.800667265055298 8266.777081261678177 0.710296596522659 8269.533132938520794 0.654078321686468 8272.290103452392941 0.684810274358556 8275.047993109619711 0.769917903298732 8277.806802216631695 0.843389807560890 8280.566531079954075 0.866550031329473 8283.327180006242997 0.840420839319269 8286.088749302225551 0.825285546506923 8288.851239274745240 0.834320750392261 8291.614650230745610 0.845533841101100 8294.378982477261161 0.844079967268452 8297.144236321459175 0.828798410339718 8299.910412070579696 0.813849598341121 8302.677510031977363 0.801785953608571 8305.445530513099584 0.795126640911221 8308.214473821519277 0.792600627498943 8310.984340264887578 0.794569334123129 8313.755130150970217 0.801843914975560 8316.526843787623875 0.818420182431500 8319.299481482830743 0.847472201069432 8322.073043544656684 0.879504148000844 8324.847530281273066 0.900640370816168 8327.622942000949479 0.908904166976389 8330.399279012079205 0.908202832022656 8333.176541623139201 0.902935390052346 8335.954730142711924 0.903672148329236 8338.733844879476237 0.907308285808789 8341.513886142240153 0.902509790737173 8344.294854239889901 0.899678833467885 8347.076749481420848 0.902567669936497 8349.859572175922949 0.899117837451530 8352.643322632618947 0.866814299716464 8355.428001160802523 0.792348236256063 8358.213608069883776 0.725698658824947 8361.000143669365571 0.697534199260908 8363.787608268879922 0.722695750341919 8366.576002178138879 0.758823246925797 8369.365325706961812 0.771182751657350 8372.155579165273593 0.783983512888588 8374.946762863093682 0.806765342142766 8377.738877110572503 0.843753243555396 8380.531922217933243 0.877642924174093 8383.325898495517322 0.883725509225229 8386.120806253757110 0.859524982338784 8388.916645803214124 0.824381455212844 8391.713417454529917 0.801020448665320 8394.511121518457003 0.804857673608798 8397.309758305840660 0.834883810397163 8400.109328127660774 0.876926275891852 8402.909831294968171 0.932845974670931 8405.711268118933731 0.989987552982660 8408.513638910817463 1.037650849851169 8411.316943982012162 1.067899126281062 8414.121183643987024 1.075989315235201 8416.926358208324018 1.066312152274618 8419.732467986699703 1.048274493995802 8422.539513290925242 1.038258155438203 8425.347494432880922 1.050588148690316 8428.156411724567079 1.083652954122923 8430.966265478076821 1.126021708356266 8433.777056005634222 1.166812438755975 8436.588783619539754 1.200219840030647 8439.401448632206666 1.222050828535032 8442.215051356146432 1.227761616088999 8445.029592103997857 1.230719396586972 8447.845071188479778 1.249552998812198 8450.661488922421995 1.280021014229904 8453.478845618752530 1.298785185725634 8456.297141590526735 1.307597812793725 8459.116377150881817 1.311380546632455 8461.936552613065942 1.305871198331175 8464.757668290430956 1.298481174567055 8467.579724496425115 1.314134279428912 8470.402721544627639 1.363081068181234 8473.226659748697784 1.420706207823271 8476.051539422405767 1.447687220547897 8478.877360879618209 1.442017446627081 8481.704124434332698 1.418024386156791 8484.531830400623221 1.383164667763576 8487.360479092683818 1.349700249077055 8490.190070824797658 1.336394313474261 8493.020605911378880 1.346542852587238 8495.852084666927112 1.375031568458448 8498.684507406049306 1.417346261250998 8501.517874443448818 1.468933800725097 8504.352186093963610 1.521235171986905 8507.187442672508041 1.550678103922897 8510.023644494109249 1.553808184073784 8512.860791873894414 1.543850652823444 8515.698885127118047 1.535564587693406 8518.537924569116512 1.540343628643003 8521.377910515335316 1.555047400195945 8524.218843281323643 1.574735157420158 8527.060723182756192 1.600797430387445 8529.903550535389513 1.629654451249092 8532.747325655091117 1.642252418569504 8535.592048857830378 1.637201762079886 8538.437720459703996 1.626142868309075 8541.284340776886893 1.619992697410649 8544.131910125674040 1.630545989294461 8546.980428822458634 1.655689725640983 8549.829897183735739 1.682467097895094 8552.680315526129561 1.683948301740709 8555.531684166346167 1.672225008549458 8558.384003421202578 1.674482020014807 8561.237273607614043 1.696457987544719 8564.091495042630413 1.718461483700380 8566.946668043376121 1.722558327630459 8569.802792927095652 1.708797052878860 8572.659870011124440 1.702984229181919 8575.517899612932524 1.722624760222899 8578.376882050073618 1.743329327377993 8581.236817640210575 1.756938855427605 8584.097706701104471 1.765791470238660 8586.959549550649172 1.761761520903502 8589.822346506820395 1.751139377359946 8592.686097887704818 1.743558122743097 8595.550804011490982 1.760515784012116 8598.416465196492936 1.786866585921365 8601.283081761112044 1.811485322956171 8604.150654023860625 1.829108709033709 8607.019182303347407 1.849222217724205 8609.888666918317540 1.872763302507229 8612.759108187592574 1.876526723367915 8615.630506430110472 1.876513575395027 8618.502861964907424 1.896105617922416 8621.376175111150587 1.917835734088914 8624.250446188088972 1.932470466530908 8627.125675515086186 1.939692494787755 8630.001863411602244 1.934633615087930 8632.879010197231764 1.922065660520436 8635.757116191649402 1.910673983036661 8638.636181714644408 1.911757385196448 8641.516207086113354 1.922095133440296 8644.397192626049218 1.917016279402061 8647.279138654581402 1.897826317108663 8650.162045491913887 1.880910624373726 8653.045913458372524 1.879510755380206 8655.930742874375937 1.877657917845158 8658.816534060479171 1.851441395636391 8661.703287337319125 1.820200377288896 8664.591003025643658 1.796541000941396 8667.479681446302493 1.775282153023093 8670.369322920276318 1.764967560227628 8673.259927768627676 1.765962838515660 8676.151496312537347 1.767240016486658 8679.044028873278876 1.758904517933294 8681.937525772262234 1.739674278444595 8684.831987330981065 1.729389325395575 8687.727413871041790 1.710038260824335 8690.623805714147238 1.665638158038236 8693.521163182138480 1.603916441319996 8696.419486596932984 1.538445872915549 8699.318776280570091 1.489404301322092 8702.219032555181911 1.463975680421471 8705.120255743036978 1.453234644065782 8708.022446166485679 1.448837738587281 8710.925604147992999 1.436412934137909 8713.829730010122148 1.420728153337963 8716.734824075572760 1.427123827488623 8719.640886667124505 1.446542071902907 8722.547918107671649 1.461585814128834 8725.455918720210320 1.451568251822570 8728.364888827869436 1.432223583352511 8731.274828753857946 1.420337103968243 8734.185738821503037 1.411879234805455 8737.097619354239214 1.402651711314306 8740.010470675599208 1.389800336982212 8742.924293109252176 1.385574691926674 8745.839086978947307 1.389715122653770 8748.754852608550209 1.397995741759667 8751.671590322024713 1.401105124344017 8754.589300443471075 1.392816745668719 8757.507983297073224 1.377538360246769 8760.427639207124230 1.372066487040219 8763.348268498026300 1.379305574707095 8766.269871494308973 1.392276668036275 8769.192448520585458 1.392735793297018 8772.115999901587202 1.380459434741407 8775.040525962145693 1.390292705154045 8777.966027027225209 1.411854299199332 8780.892503421871879 1.427670046894941 8783.819955471250069 1.434779708331560 8786.748383500624186 1.430174871489806 8789.677787835391428 1.409515447700989 8792.608168801032662 1.385237541387706 8795.539526723146992 1.370183847225708 8798.471861927429927 1.366361477341304 8801.405174739717040 1.351629749056756 8804.339465485920300 1.327896041808202 8807.274734492073549 1.308792777923474 8810.210982084308853 1.290167182892810 8813.148208588892885 1.273336431718078 8816.086414332177810 1.260096632252892 8819.025599640626751 1.260496143262636 8821.965764840819247 1.271678272211927 8824.906910259429424 1.286002065939460 8827.849036223269650 1.294132048905328 8830.792143059234149 1.286247848348311 8833.736231094335380 1.266825675515612 8836.681300655684026 1.254628232384440 8839.627352070529014 1.255179861262917 8842.574385666201124 1.263032685624351 8845.522401770145734 1.266206307493716 8848.471400709913723 1.250562250375594 8851.421382813188757 1.218081132198407 8854.372348407736354 1.187494270934021 8857.324297821443906 1.166089524462143 8860.277231382295213 1.144920412934706 8863.231149418414134 1.126179432209160 8866.186052258002746 1.115840993374512 8869.141940229383181 1.108971127935898 8872.098813660979431 1.101264666836063 8875.056672881350096 1.090318139914159 8878.015518219139267 1.080969577765285 8880.975350003105632 1.073726023804461 8883.936168562111561 1.067606580799081 8886.897974225154030 1.064850520934382 8889.860767321315507 1.063268615853026 8892.824548179791236 1.059086872254595 8895.789317129883784 1.059335631182127 8898.755074501030322 1.064130733341770 8901.721820622751693 1.066251884496872 8904.689555824681520 1.059372969312057 8907.658280436564382 1.044253622401668 8910.627994788272190 1.025820169991911 8913.598699209767801 1.008395920404664 8916.570394031128671 0.997098718624297 8919.543079582541395 0.996085729082416 8922.516756194296249 0.996610846232638 8925.491424196819935 0.992517798237136 8928.467083920622827 0.985641956594502 8931.443735696333533 0.979423086511145 8934.421379854680708 0.982655128768850 8937.400016726533067 1.002579596447805 8940.379646642841180 1.011401326703731 8943.360269934673852 1.005062669626439 8946.341886933205387 0.991984580453294 8949.324497969741060 0.990575461918930 8952.308103375675273 1.001952888660246 8955.292703482517027 1.004038030370326 8958.278298621884460 0.961088695066105 8961.264889125523041 0.898773132052421 8964.252475325271007 0.877448163340637 8967.241057553081191 0.887348072036072 8970.230636141008290 0.903723349868720 8973.221211421247062 0.907490891196359 8976.212783726074122 0.907761742328327 8979.205353387886134 0.908805841804014 8982.198920739183450 0.909722974382471 8985.193486112599203 0.912465445829295 8988.189049840857479 0.914899760518319 8991.185612256796958 0.914802694574082 8994.183173693360004 0.908804969335405 8997.181734483627224 0.902850407176655 9000.181294960762898 0.890334723599633 9003.181855458051359 0.864864717713966 9006.183416308880624 0.832862204538601 9009.185977846773312 0.802373599068150 9012.189540405341177 0.778748113218871 9015.194104318310565 0.758647351874081 9018.199669919522421 0.739590236731396 9021.206237542921372 0.717949020355254 9024.213807522586649 0.679418963765991 9027.222380192682976 0.654029167569899 9030.231955887498771 0.666900766713744 9033.242534941420672 0.672606312845462 9036.254117688977203 0.673549671723089 9039.266704464776922 0.689355082867644 9042.280295603553895 0.706830059660468 9045.294891440140418 0.747858379068869 9048.310492309512483 0.811047574100942 9051.327098546726120 0.822762666581725 9054.344710486959229 0.802778738016347 9057.363328465495215 0.799263037679247 9060.382952817752084 0.827610464239905 9063.403583879235157 0.850537807153287 9066.425221985569806 0.837123170227057 9069.447867472485086 0.824754562671873 9072.471520675848296 0.819595501124481 9075.496181931612227 0.807307325244760 9078.521851575849723 0.762307241359650 9081.548529944739130 0.704535925037713 9084.576217374593398 0.667461439578214 9087.604914201814609 0.665504311997738 9090.634620762924897 0.686126310184155 9093.665337394548260 0.704121550547198 9096.697064433450578 0.707528001789082 9099.729802216479584 0.725516815026565 9102.763551080608522 0.789890090429292 9105.798311362917957 0.901704535861556 9108.834083400595773 0.971451537502569 9111.870867530968098 0.959734794953607 9114.908664091446553 0.948976249694868 9117.947473419562812 0.922918789710933 9120.987295852955867 0.891269223621068 9124.028131729399320 0.881715043444221 9127.069981386755899 0.867086185844106 9130.112845163008387 0.835126656546067 9133.156723396243251 0.803952916499054 9136.201616424688837 0.794477936411279 9139.247524586657164 0.813508523521622 9142.294448220582126 0.841947986882609 9145.342387664999478 0.856458651721664 9148.391343258592315 0.843746029513962 9151.441315340120127 0.802596161884295 9154.492304248471555 0.773238964663887 9157.544310322633464 0.760067823496366 9160.597333901736420 0.752733556646538 9163.651375324998298 0.762171747888259 9166.706434931757030 0.807334715638168 9169.762513061450591 0.877503484694404 9172.819610053666111 0.937678199317655 9175.877726248068939 0.966274647259878 9178.936861984451753 0.962502463329150 9181.997017602707274 0.948870476180882 9185.058193442873744 0.932604360643186 9188.120389845069440 0.902133168539495 9191.183607149541785 0.840033939662575 9194.247845696636432 0.721431827970904 9197.313105826844549 0.604055310562258 9200.379387880739159 0.586766891115955 9203.446692199020617 0.637844485313805 9206.515019122500235 0.707595714618566 9209.584368992091186 0.758774393171869 9212.654742148853984 0.807182659357659 9215.726138933930997 0.849658638826298 9218.798559688590103 0.863969005166249 9221.872004754197405 0.844495335780830 9224.946474472271802 0.813500839432980 9228.021969184406771 0.793275095952879 9231.098489232324937 0.767354731498625 9234.176034957852607 0.731838710685166 9237.254606702959791 0.698494252520681 9240.334204809700168 0.678776978578701 9243.414829620249293 0.670871386363955 9246.496481476891859 0.676224461787825 9249.579160722050801 0.716725031194979 9252.662867698236369 0.763663892281166 9255.747602748084319 0.784870481666482 9258.833366214332273 0.757230660087239 9261.920158439861552 0.710312233988564 9265.007979767640791 0.665256302104471 9268.096830540760493 0.634465380500004 9271.186711102418485 0.625275243916004 9274.277621795950836 0.637453069618319 9277.369562964784564 1.275423067594054 9280.462534952466740 1.263002581355660 9283.556538102653576 1.243211539988712 9286.651572759143164 1.259594317865443 9289.747639265815451 1.252455650626228 9292.844737966679531 1.190950476105998 9295.942869205857278 1.097403157372234 9299.042033327576064 1.062703965038849 9302.142230676206964 1.021486594542860 9305.243461596206544 0.941588968249441 9308.345726432155061 0.906736666054028 9311.449025528740094 0.935189969176970 9314.553359230792921 0.968018338354469 9317.658727883226675 0.953089313466044 9320.765131831085455 0.966408638432803 9323.872571419513406 1.001908469320807 9326.981046993802011 1.009776410414534 9330.090558899328244 1.012261470945721 9333.201107481592771 1.033400251695652 9336.312693086203581 1.059445752312381 9339.425316058908720 1.016189009043512 9342.538976745549007 0.949693297713783 9345.653675492083494 0.902078664789905 9348.769412644584008 0.857044541660392 9351.886188549258804 0.861675681722018 9355.004003552408903 0.906584951609722 9358.122858000459019 0.924031861445521 9361.242752239937545 0.911436694958192 9364.363686617518397 0.894542016712029 9367.485661479962801 0.911503538551814 9370.608677174157492 0.960337223087504 9373.732734047094709 0.930827429472363 9376.857832445908571 0.973628755556990 9379.983972717825964 1.061286203628829 9383.111155210193829 1.101606874139190 9386.239380270468246 1.059405345203264 9389.368648246248995 0.952803779787850 9392.498959485223168 0.867904080030656 9395.630314335201547 0.833967225320061 9398.762713144113150 0.793274916667576 9401.896156259992495 0.739201738414440 9405.030644031019619 0.717481605625592 9408.166176805463692 0.725429942447974 9411.302754931712116 0.758652611774061 9414.440378758268707 0.810017660574263 9417.579048633773709 0.879634939223411 9420.718764906961951 0.917330033350570 9423.859527926688315 0.890821744618336 9427.001338041918643 0.841545065719158 9430.144195601760657 0.791727367808018 9433.288100955413029 0.737792006225753 9436.433054452196302 0.685164207309261 9439.579056441541979 0.696637216857906 9442.726107273023445 0.741992693043200 9445.874207296305030 0.754893902541394 9449.023356861174761 0.796117434815847 9452.173556317527982 0.852399283697430 9455.324806015409195 0.860630656307294 9458.477106304942936 0.849665129658490 9461.630457536388349 0.878061940914662 9464.784860060106439 0.961103836283447 9467.940314226605551 1.046321065058784 9471.096820386483159 1.023154328132799 9474.254378890462249 0.927233808207106 9477.412990089371306 0.871152334582603 9480.572654334187973 0.906870479982481 9483.733371975975388 0.963528214613294 9486.895143365925833 0.945277927244923 9490.057968855337094 0.928698691045501 9493.221848795652477 0.927669600994569 9496.386783538406235 0.933773238857771 9499.552773435256313 0.952797507778059 9502.719818837978892 0.930608536528326 9505.887920098461109 0.864656805785553 9509.057077568730165 0.794911863475978 9512.227291600906028 0.736035550948967 9515.398562547237816 0.712445730964412 9518.570890760074690 0.716448642263083 9521.744276591918606 0.667133876537479 9524.918720395358832 0.613863872572378 9528.094222523111966 0.602684290678620 9531.270783328000107 0.583623987168853 9534.448403162994509 0.566527672037812 9537.627082381155560 0.565484397216702 9540.806821335669156 0.570976179556466 9543.987620379828513 0.502746535135343 9547.169479867077825 0.446606931838153 9550.352400150944959 0.447118377692125 9553.536381585088748 0.459327828091894 9556.721424523275346 0.441058143647774 9559.907529319416426 0.400136876225792 9563.094696327516431 0.372203797977062 9566.282925901701674 0.385390380127322 9569.472218396214885 0.433332932227061 9572.662574165437036 0.457948266775032 9575.853993563843687 0.417480234720338 9579.046476946037728 0.430510999783689 9582.240024666729369 0.504054329686097 9585.434637080776156 0.558825621884218 9588.630314543126588 0.587064116990508 9591.827057408854671 0.589498751991470 9595.024866033154467 0.582904528290584 9598.223740771329176 0.586952028443147 9601.423681978827517 0.571023549396045 9604.624690011189159 0.539402723460339 9607.826765224081100 0.521861115722347 9611.029907973281297 0.542357377911307 9614.234118614713225 0.642316007179232 9617.439397504391309 0.771010426990872 9620.645744998455484 0.811962108141571 9623.853161453158464 0.821157931097060 9627.061647224898479 0.828958324243974 9630.271202670164712 0.785784982730513 9633.481828145575491 0.747894505356653 9636.693524007856468 0.766560173969920 9639.906290613880628 0.820943679784822 9643.120128320613730 0.851361068151998 9646.335037485150679 0.842414034481244 9649.551018464690060 0.808428449626495 9652.768071616585075 0.796441061470220 9655.986197298276238 0.766101327318643 9659.205395867331390 0.722141385419719 9662.425667681431150 0.738561865274419 9665.647013098403477 0.808707545230296 9668.869432476163638 0.874808619570486 9672.092926172761508 0.858655268516662 9675.317494546350645 0.771713696020857 9678.543137955235579 0.718715031693225 9681.769856757811795 0.732325641720622 9684.997651312605740 0.785237414730438 9688.226521978251185 0.783885191118028 9691.456469113527419 0.734648534550477 9694.687493077311956 0.695138689237558 9697.919594228606002 0.751716949925638 9701.152772926528996 0.790528870482964 9704.387029530318614 0.780314589892391 9707.622364399352591 0.767860392106160 9710.858777893103252 0.746191422815927 9714.096270371173887 0.751244881210760 9717.334842193273289 0.752200255085175 9720.574493719263046 0.731986773228782 9723.815225309097514 0.809688835819629 9727.057037322854740 0.832902857758906 9730.299930120727367 0.747762952938475 9733.543904063057198 0.702068504290070 9736.788959510275163 0.702136032861598 9740.035096822943160 0.728691510558680 9743.282316361732228 0.767543782206323 9746.530618487466199 0.832718342705985 9749.780003561056219 0.912347211840071 9753.030471943546218 0.908364429463974 9756.282023996089265 0.794930074566413 9759.534660079985770 0.717516732068200 9762.788380556634365 0.730540972251725 9766.043185787557377 0.728700762608122 9769.299076134389907 0.772219965985757 9772.556051958916214 0.769030167147563 9775.814113623015146 0.704290793916042 9779.073261488692879 0.613044056586420 9782.333495918066546 0.562324419827166 9785.594817273402441 0.570794746893372 9788.857225917063261 0.644434516347269 9792.120722211535394 0.713187031794476 9795.385306519423466 0.806395147880769 9798.650979203473980 0.863503602272645 9801.917740626533487 0.805048962879260 9805.185591151574044 0.727368597914262 9808.454531141691405 0.734099452161616 9811.724560960090457 0.796140061123726 9814.995680970125250 0.889735131221160 9818.267891535248054 0.942357979875479 9821.541193019033017 0.935166294863355 9824.815585785174335 0.908565105616261 9828.091070197511726 0.836780906894325 9831.367646619979496 0.783289630469954 9834.645315416639278 0.764179304765449 9837.924076951667303 0.815678309968362 9841.203931589390777 0.923741488392529 9844.484879694227857 1.074975050691055 9847.766921630729485 1.173753934433563 9851.050057763553923 1.294436407292995 9854.334288457517687 1.516148743573252 9857.619614077522783 1.676611198736708 9860.906034988605825 1.734202174509266 9864.193551555916201 1.631343792576988 9867.482164144752460 1.563027254190640 9870.771873120505916 1.708423160879348 9874.062678848698852 1.928496806228652 9877.354581694966328 2.041391587734100 9880.647582025099837 2.034589440486896 9883.941680204972727 1.892570385870412 9887.236876600598407 1.727326549373170 9890.533171578099427 1.569195282076008 9893.830565503751131 1.388760715925190 9897.129058743917994 1.236053080158823 9900.428651665104553 1.211261666202290 9903.729344633928122 1.321051650638804 9907.031138017124249 1.289862422795391 9910.334032181577641 1.215802202218563 9913.638027494265771 1.134306086883149 9916.943124322300719 1.030530356799481 9920.249323032907341 1.013572313341287 9923.556623993457833 1.140194154419944 9926.865027571420796 1.232422068150189 9930.174534134397618 1.195430998824579 9933.485144050098825 1.183255692729439 9936.796857686393196 0.989145209308253 9940.109675411238641 0.541057764354312 9943.423597592724036 0.293617046630904 9946.738624599052855 0.425125461515841 9950.054756798583185 0.419558050688927 9953.371994559764062 0.216907124928284 9956.690338251177309 0.251483910141003 9960.009788241515707 0.462478463431672 9963.330344899628471 0.557112454288407 9966.652008594457584 0.452834223129470 9969.974779695075995 0.385999478112057 9973.298658570667612 0.471449383141278 9976.623645590578235 0.641875366951442 9979.949741124235516 0.893289538167136 9983.276945541207169 1.124493336565136 9986.605259211173689 1.155189040351528 9989.934682503968361 1.183031471734504 9993.265215789513604 1.460872855379746 9996.596859437871899 1.664366671219873 9999.929613819216684 1.545348009455682 10003.263479303879649 1.427501611209588 10006.598456262254331 1.621186960244550 10009.934545064910708 1.811113006093638 10013.271746082547907 1.837465591592394 10016.610059685925080 1.564162075106674 10019.949486246005108 1.163092487998189 10023.290026133796346 0.829021879033416 10026.631679720490865 0.773712251623327 10029.974447377400793 0.892503369669495 10033.318329475907376 1.102229019731566 10036.663326387570123 1.549076884830928 10040.009438484079510 1.836420633610637 10043.356666137182401 1.820938063776667 10046.705009718834845 1.677067163691560 10050.054469601032906 1.682918129288856 10053.405046155961827 1.581918954891398 10056.756739755925082 1.501377178218192 10060.109550773295268 1.544992123770972 10063.463479580623243 1.843447081696569 10066.818526550592651 1.915473601977601 10070.174692055945343 1.646227249129565 10073.531976469625079 1.328446612057649 10076.890380164626549 1.149850731110024 10080.249903514126345 1.192974352409431 10083.610546891422928 1.456492505651997 10086.972310669880244 1.796126796794812 10090.335195223051414 1.839263847490584 10093.699200924605975 1.803826097694618 10097.064328148286222 1.946768682150703 10100.430577268032721 2.062037382953478 10103.797948657833331 1.899354847828917 10107.166442691859629 1.682701296918137 10110.536059744412341 1.691996103433112 10113.906800189848582 2.071109482267702 10117.278664402740105 2.613245411229448 10120.651652757695047 3.136418655940338 10124.025765629508896 3.431134793066311 10127.401003393106294 3.438976939013498 10130.777366423471904 3.310827875249554 10134.154855095777748 3.120213950820828 10137.533469785321358 2.958334334799145 10140.913210867462112 2.897814285677927 10144.294078717766752 2.951426623859408 10147.676073711849313 3.058294594786456 10151.059196225505730 3.046710257072705