SN 1986G Ia in NGC 5128 (S0)


Geoffrey Chaucer with an astrolabe.


OBJ:   SN 1986G Ia in NGC 5128 (S0).  In Leda it is
          NGC 5128 (Leda).
DISCOVERY: 1986may3.5 UT by Evans (1986)
          CfA List of Supernovae.
MAX:  1986may11.0 +/- 1 (JD 2446561.5) in B according to {phillips1987}.
           See the US Navy Observatory Julian Date Converter.
           This day of the year 131.
SUPERNOVA of the YEAR:  7.

SPECTROSCOPY LOG:

         Spectrum               Date                  Phase relative to Bmax        Wavelength Range
         {phillips1987}         1986may05.1           -5.9                          4796.--7192. (observed)
         {phillips1987}         1986may06.1           -4.9                          4796.--7192. (observed)
         {cristiani1992}        1986may07             -3.8                          3403.42431641--7176.42431641 (observed)

REF:

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

       citet{phillips1987} Photometry and spectra.

       SUSPECT Index.

       SUSPECT Index:  SN 1986G Ia.


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

COR:  not deredshifted ??? (heliocentric velocity 552 +/- 5 km/s and
          NGC 5128 (Leda).
     I'll trust Leda just for consistency.
      not dereddened ??? (Galactic foreground .50/4=.125
          NGC 5128 (Leda).
     Schlegel et al. (1998).
      not smoothed ????, not photometric ????
      Derived maximum in some band is  (see above).

COMMENT:

Date: 1986may (JD ) with 1986may11.0 (JD 2446561.5) for B maximum gives:
      day = 2446557.7 - 2446561.5 = -3.8

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

       observer phase = -3.8000000000
       rest phase =     -3.7930160190


&specnamelist aname='sn1986g Ia 1986_05_07' ebv=.125 ! This is foreground. {phillips1987} suggests total ebv = 0.82 +/- .05, but this is really uncertain. epoch=-3.7930160190 ! This parameter needs to updated for the particular spectrum. idifmake=0 iformat=1 ! This has to be checked for every spectrum. itick=2 itickln=4 ! scale_flux=1.d-24 t_rise=19.4d0 ! From {conley2006} v_helio=552. ymin2=6.e-15 ymax2=9.5e-14 ymin3=.38 ymax3=2.4 wlammin1=3403.42431641 wlammax1=7176.42431641 wlammin2=3403.42431641 wlammax2=7176.42431641 wlammin3=3600. wlammax3=7000. /
./figure/sn1986g_1986_05_07.gif Postscript plot of the spectrum.
./figure/sn1986g_1986_05_07.dif.gif Postscript plot of the spectrum with local normalization.
Information from somewhere. FITS: Fits format information from the observers if there is any. SIMPLE = T / Fits standard BITPIX = -32 / Bits per pixel NAXIS = 1 / Number of axes NAXIS1 = 3774 / Axis length ORIGIN = 'NOAO-IRAF FITS Image Kernel July 1999' / FITS file originator IRAF-TLM= '16:14:45 (28/02/2000)' / Time of last modification EXTEND = T / FITS extension may be present CRPIX1 = -115.57568359 / Reference pixel CRVAL1 = 3403.42431641 / Coordinate at reference pixel CDELT1 = 1 / Coordinate increment per pixel CTYPE1 = 'MICRON e ' / Units of coordinate BUNIT = 'MICRON e ' / Units of data values DATE = '2000-02-28T15:15:10'/ Date of writting: DD/MM/YY FILENAME= 'S86G_A1000.bdf' / Original file name MIDASFTP= 'IMAGE ' / MIDAS File Type OBJECT = '46557.7 1986G 07/05/86 ESO1.5+B&C+ESO2.2+B&C+IDS+CCD [Di Serego-Bues RA = 0 / MIDAS desc.: O_POS(1) DEC = 0 / MIDAS desc.: O_POS(2) DATE-OBS= '07/05/86' / MIDAS desc.: O_TIME(1) TM-START= 0 / MIDAS desc.: O_TIME(5) EXPTIME = 0 / MIDAS desc.: O_TIME(7) HISTORY COMPUT/IMAG purga = s86g_a2-100 HISTORY COMPUT/IMAG purga = s86g_a2-100 HISTORY COMPUT/IMAG purga = s86g_a2-100 HISTORY ESO-DESCRIPTORS START ................ HISTORY 'LHCUTS' ,'R*4 ' , 1, 6,'5E14.7',' ',' ' HISTORY 1.0000000E+00 1.0000000E+03-7.9551104E+03 8.6842969E+04 0.0000000E+00 HISTORY 0.0000000E+00 HISTORY 'O_OBJECT' ,'C*1 ' , 1, 72,'70A1',' ',' ' HISTORY 'O_COMM' ,'C*1 ' , 1, 240,'70A1',' ',' ' HISTORY DI SEREGO ALIGHIERI HISTORY 2.2M B&C+CCD HISTORY 7-MAY-86 HISTORY 'O_FILE' ,'C*1 ' , 1, 72,'70A1',' ',' ' HISTORY Sequence number: 0 HISTORY ESO-DESCRIPTORS END ................ APNUM1 = '1 1 ' WCSDIM = 1 CD1_1 = 1. LTM1_1 = 1. WAT0_001= 'system=equispec' WAT1_001= 'wtype=linear label=micron' LTV1 = -116.57568359 UT = 4.8 IDENT = '46557.7 1986G 07/05/86 ESO1.5+B&C+ESO2.2+B&C+IDS+CCD [Di Serego-Bues JD = 2446557.7 END: 3398.196062672215248 4.037663416355121 3399.328983502755364 3.540957223629717 3400.462282036519355 3.083287620003292 3401.595958399429037 2.534811693645839 3402.730012717445334 1.795185689974410 3403.864445116581464 1.057764077223747 3404.999255722881117 0.588061729389278 3406.134444662435271 0.241455206822247 3407.270012061372199 0.196189289882960 3408.405958045872922 0.588904504369221 3409.542282742149837 1.080684163650089 3410.678986276462183 1.474868132454809 3411.816068775106487 1.493706192980305 3412.953530364431572 1.105036802016750 3414.091371170819457 0.660035198067501 3415.229591320696727 0.672262871440966 3416.368190940528166 0.888491426886973 3417.507170156832672 0.915590867197826 3418.646529096159156 0.758109183552778 3419.786267885103825 0.459783018540899 3420.926386650300628 0.132390196679199 3422.066885518435811 0.218218168787350 3423.207764616228815 0.415655349237860 3424.349024070443647 0.563965741959744 3425.490664007883424 0.938932696804956 3426.632684555403557 1.497882755926999 3427.775085839892654 2.123847422749213 3428.917867988283433 2.644773930978451 3430.061031127552269 2.925635491388515 3431.204575384713280 3.075988448802531 3432.348500886834245 3.073564015188742 3433.492807761014319 2.980015268791626 3434.637496134398589 2.789551138703991 3435.782566134171702 2.324269112335378 3436.928017887570149 1.730499810070626 3438.073851521862707 1.171188094880764 3439.220067164364991 0.800448987960686 3440.366664942430361 0.686920706527756 3441.513644983465383 0.490032504992157 3442.661007414908454 0.171141391348618 3443.808752364245265 0.025373318104200 3444.956879958999252 0.014759410336628 3446.105390326746601 0.012100523959688 3447.254283595096240 0.052125888507932 3448.403559891703480 0.021837969438523 3449.553219344262288 0.031905563145386 3450.703262080518471 0.089758156059763 3451.853688228251940 0.361568431086960 3453.004497915288084 0.614838476440756 3454.155691269490035 0.688290319768860 3455.307268418776403 0.863836927974158 3456.459229491095812 1.125086228773293 3457.611574614444180 1.484726943684823 3458.764303916856989 1.888019935409527 3459.917417526421559 2.186148369223254 3461.070915571257956 2.307436025822478 3462.224798179533082 2.265923912763824 3463.379065479456131 2.265026147685402 3464.533717599275406 2.212764889546069 3465.688754667292415 2.048355932764418 3466.844176811841407 1.799782584029493 3467.999984161302564 1.536289247761983 3469.156176844095171 1.356290038258577 3470.312754988692632 1.177080763711511 3471.469718723599726 1.112540978891620 3472.627068177367619 1.153226339137066 3473.784803478587946 1.143244506681389 3474.942924755904642 1.128294184707278 3476.101432137993925 1.219713879864073 3477.260325753579764 1.319896986311991 3478.419605731423871 1.325820189473029 3479.579272200342530 1.325919970411537 3480.739325289183398 1.329504523372537 3481.899765126842340 1.294752692885915 3483.060591842252506 1.292007125613263 3484.221805564402530 1.376505575053300 3485.383406422312419 1.432366689395943 3486.545394545048566 1.410620458191103 3487.707770061717383 1.424571639301137 3488.870533101479396 1.455034638303860 3490.033683793526507 1.460181273315801 3491.197222267097004 1.502772915013634 3492.361148651470103 1.578770911975287 3493.525463075978223 1.646120443556847 3494.690165669986072 1.654863533562396 3495.855256562904287 1.671620953155797 3497.020735884184887 1.755044886181957 3498.186603763331732 1.820854101100538 3499.352860329882787 1.850006746287927 3500.519505713421950 1.847081735806783 3501.686540043576315 1.803135907337541 3502.853963450012998 1.734724605979657 3504.021776062453227 1.674344030391762 3505.189978010649611 1.660868585027664 3506.358569424402504 1.625685809817524 3507.527550433552278 1.585627596655671 3508.696921167992514 1.591085285435550 3509.866681757649985 1.605383011042726 3511.036832332497852 1.642335619712778 3512.207373022549291 1.694957858784156 3513.378303957871594 1.697464222430324 3514.549625268564341 1.637630466629958 3515.721337084775314 1.631013745460489 3516.893439536689584 1.720367646338796 3518.065932754549522 1.788918806328133 3519.238816868627509 1.822782163059272 3520.412092009244589 1.872261790418060 3521.585758306760454 1.920361370143692 3522.759815891590279 1.942012974699804 3523.934264894180615 2.006145315784202 3525.109105445026671 2.086950384579919 3526.284337674662311 2.078161290205944 3527.459961713675511 2.045176089775784 3528.635977692688357 2.066894625754908 3529.812385742369315 2.058375000974576 3530.989185993425963 1.976006584660018 3532.166378576622265 1.960853894189368 3533.343963622752653 1.994663544739472 3534.521941262660675 2.029442571839418 3535.700311627228530 2.025686425103081 3536.879074847393895 1.944801932523565 3538.058231054127191 1.818584310806596 3539.237780378445223 1.694401364285308 3540.417722951408905 1.596868955660001 3541.598058904119625 1.518927433009479 3542.778788367732886 1.446483082227104 3543.959911473437842 1.400998572836908 3545.141428352470029 1.390212788403745 3546.323339136104551 1.418431615633135 3547.505643955673804 1.460825078705906 3548.688342942540203 1.544011354208845 3549.871436228114817 1.692346220814799 3551.054923943849190 1.799719899564760 3552.238806221248979 1.846800937859855 3553.423083191853038 1.902704488468012 3554.607754987247972 1.907389637844554 3555.792821739060400 1.845175887153844 3556.978283578971059 1.796512181534076 3558.164140638694789 1.737952919477531 3559.350393049993272 1.631872212961783 3560.537040944668661 1.506403496802852 3561.724084454578588 1.384186611807005 3562.911523711612062 1.230896083145297 3564.099358847707663 1.090964395390662 3565.287589994843074 1.010761108548888 3566.476217285051462 0.941030859952936 3567.665240850398732 0.880286352997670 3568.854660822998994 0.835936016590512 3570.044477335005467 0.836077479719973 3571.234690518628668 0.885047692921485 3572.425300506109124 0.927727368336773 3573.616307429738299 0.968459848242845 3574.807711421849490 0.984389795703653 3575.999512614817831 0.998900443317223 3577.191711141072119 1.053576033726877 3578.384307133076163 1.095174804967230 3579.577300723340159 1.084937941395859 3580.770692044415682 1.026727174917720 3581.964481228908426 1.000150901741250 3583.158668409458187 0.994413917200491 3584.353253718752967 0.969717943034264 3585.548237289520330 0.958122300601359 3586.743619254543773 0.958123909617485 3587.939399746639538 0.947284431401350 3589.135578898672065 0.876837206801269 3590.332156843546727 0.793476790652809 3591.529133714224372 0.739111937630556 3592.726509643698137 0.685233269372469 3593.924284765009816 0.549098745975795 3595.122459211242131 0.530213834013566 3596.321033115532828 0.528810009795563 3597.520006611053304 0.520569804409121 3598.719379831022707 0.493142790953176 3599.919152908700653 0.515500962323560 3601.119325977403150 0.559460035552671 3602.319899170478948 0.574116204547444 3603.520872621324997 0.572535359145401 3604.722246463379179 0.584992728306040 3605.924020830134850 0.607193085152889 3607.126195855118567 0.613845934422608 3608.328771671905997 0.601204958949139 3609.531748414111917 0.575559229268098 3610.735126215408854 0.554600572636763 3611.938905209501172 0.532881688241544 3613.143085530141889 0.506426866280811 3614.347667311129953 0.492608096965280 3615.552650686302513 0.492402203003270 3616.758035789554924 0.474857384852778 3617.963822754815283 0.442110601020325 3619.170011716059889 0.422783887722153 3620.376602807305062 0.405077034513010 3621.583596162625327 0.392792490862624 3622.790991916126586 0.383920347774823 3623.998790201963857 0.386182108439102 3625.206991154333082 0.396955611384444 3626.415594907487048 0.398893321454558 3627.624601595710374 0.407748676595644 3628.834011353338155 0.445720075455702 3630.043824314744597 0.480561907035663 3631.254040614361202 0.502739849387238 3632.464660386653122 0.533218778184472 3633.675683766132806 0.557118744804670 3634.887110887355448 0.583532991227313 3636.098941884930809 0.611626167990864 3637.311176893503671 0.637244008528549 3638.523816047766559 0.666611413251981 3639.736859482453838 0.674980234739984 3640.950307332354896 0.650073962671885 3642.164159732293683 0.631192329060929 3643.378416817143261 0.616799837861067 3644.593078721816710 0.603089652395102 3645.808145581283952 0.600482510354302 3647.023617530549473 0.592089550633843 3648.239494704664594 0.580145709768512 3649.455777238723840 0.577279131124709 3650.672465267876760 0.573140114126532 3651.889558927307462 0.564950594543226 3653.107058352248714 0.566370372828769 3654.324963677977394 0.570847696648681 3655.543275039813579 0.578156030597742 3656.761992573132375 0.584508250737194 3657.981116413342988 0.595087673317394 3659.200646695903288 0.592420767542106 3660.420583556313431 0.574199057789868 3661.640927130129512 0.553605098719571 3662.861677552940819 0.553363525869957 3664.082834960387117 0.575911799268665 3665.304399488148192 0.599085801551601 3666.526371271961125 0.616490803201947 3667.748750447597104 0.638204651707890 3668.971537150875520 0.660012675660734 3670.194731517658511 0.674275161591033 3671.418333683863239 0.690826644916623 3672.642343785441881 0.709441298310765 3673.866761958396637 0.737583999475074 3675.091588338768815 0.755960320055588 3676.316823062658386 0.761665408394527 3677.542466266198971 0.766683310885293 3678.768518085572850 0.767968137063681 3679.994978657004140 0.759517112434076 3681.221848116774254 0.751717781472330 3682.449126601197804 0.752786617786392 3683.676814246639424 0.764100313402932 3684.904911189504674 0.779267396012954 3686.133417566256412 0.781439783517284 3687.362333513391604 0.780374998658579 3688.591659167456783 0.786077349972143 3689.821394665043499 0.805275451306390 3691.051540142784688 0.832971591653198 3692.282095737371947 0.863541273449944 3693.513061585528703 0.888021236024653 3694.744437824029774 0.904258059342545 3695.976224589689991 0.917417410966658 3697.208422019383306 0.927064783049166 3698.441030250016411 0.939856659576584 3699.674049418545110 0.968753515732358 3700.907479661968409 0.987471665593751 3702.141321117341249 0.978321758165927 3703.375573921754039 0.963485617925606 3704.610238212344939 0.957021371276078 3705.845314126296216 0.949904436971199 3707.080801800845165 0.947940785966546 3708.316701373265005 0.958396753673779 3709.553012980877611 0.972355226250215 3710.789736761047152 0.983735421123339 3712.026872851195094 0.983808680813324 3713.264421388777009 0.991098350543631 3714.502382511298947 1.023719189265818 3715.740756356307429 1.058039004248867 3716.979543061407639 1.086361789598424 3718.218742764238868 1.130085383646582 3719.458355602489519 1.174000311687277 3720.698381713891195 1.199237738882657 3721.938821236231433 1.228486462559481 3723.179674307333698 1.262086227341508 3724.420941065070110 1.289086806500507 3725.662621647355536 1.300444932447458 3726.904716192162141 1.296191803396989 3728.147224837496651 1.303245438597867 3729.390147721415815 1.315010909152020 3730.633484982021400 1.314675482158867 3731.877236757458832 1.318849296343510 3733.121403185930376 1.329326264567990 3734.365984405672407 1.331417586441394 3735.610980554972684 1.337183781018351 3736.856391772159441 1.353831258573096 3738.102218195619571 1.378181037602625 3739.348459963774076 1.392487545517903 3740.595117215095343 1.393903396397387 3741.842190088095776 1.402691117763391 3743.089678721347354 1.425544316237243 3744.337583253456160 1.448390427910891 3745.585903823078297 1.461837601763921 3746.834640568911254 1.478364396051364 3748.083793629712545 1.500231365871824 3749.333363144272425 1.520322600950276 3750.583349251432082 1.544794746379135 3751.833752090074995 1.580478074658151 3753.084571799142395 1.617008570891738 3754.335808517610531 1.646981449318832 3755.587462384505670 1.655718248009064 3756.839533538896831 1.668893463927618 3758.092022119910325 1.698051479065693 3759.344928266707939 1.724006264935062 3760.598252118501932 1.757132656693752 3761.851993814545494 1.809907691869340 3763.106153494152295 1.860330242736910 3764.360731296668291 1.896996956686456 3765.615727361492191 1.929999352080974 3766.871141828063173 1.966092800781426 3768.126974835879992 1.990989003069296 3769.383226524475504 2.001144189733925 3770.639897033433954 2.002126379133934 3771.896986502384152 1.991417501713550 3773.154495070999928 1.966110911887395 3774.412422879011956 1.932165515751770 3775.670770066185469 1.905214419191044 3776.929536772337542 1.876407860286948 3778.188723137327088 1.840648148761322 3779.448329301071681 1.815249662980575 3780.708355403523001 1.816043229209334 3781.968801584684570 1.826186396804541 3783.229667984601747 1.848802018842105 3784.490954743379007 1.877809467794934 3785.752662001154931 1.897155995515439 3787.014789898119034 1.909789803736599 3788.277338574504938 1.931973830842198 3789.540308170602202 1.953229357440954 3790.803698826738128 1.965996904065612 3792.067510683288674 1.967892688610651 3793.331743880673912 1.955611366733088 3794.596398559371664 1.937465041340283 3795.861474859895679 1.919731884442728 3797.126972922809273 1.907475727564839 3798.392892888720326 1.908253631266992 3799.659234898293562 1.905175279355801 3800.925999092230086 1.886678088693246 3802.193185611281933 1.865938013866232 3803.460794596243431 1.842120412917444 3804.728826187967115 1.816942714958269 3805.997280527342355 1.783903180846184 3807.266157755308086 1.736918405712435 3808.535458012850995 1.689086834211997 3809.805181441000514 1.637530643770771 3811.075328180844281 1.593160960838224 3812.345898373506316 1.563830538683881 3813.616892160161115 1.544897090487722 3814.888309682026375 1.536767679497013 3816.160151080378000 1.544589766201093 3817.432416496528276 1.563543702292242 3818.705106071839509 1.592437639192815 3819.978219947718571 1.619503560833422 3821.251758265629633 1.647458397851092 3822.525721167073243 1.673301818758106 3823.800108793601339 1.689311325034510 3825.074921286807694 1.704414562463593 3826.350158788347017 1.713981305265504 3827.625821439907668 1.715703765826315 3828.901909383230304 1.710620067810503 3830.178422760098329 1.701629420757826 3831.455361712354261 1.694502020577330 3832.732726381877001 1.685380266428282 3834.010516910595015 1.675401901103591 3835.288733440482247 1.671366798001878 3836.567376113569480 1.664871786077309 3837.846445071924791 1.654917191297778 3839.125940457666729 1.629780848144248 3840.405862412957504 1.588843670210637 3841.686211080018893 1.549357145757121 3842.966986601107692 1.511796955289908 3844.248189118532537 1.469535154090953 3845.529818774644809 1.428675982249249 3846.811875711855919 1.384808831172817 3848.094360072612744 1.350421545350280 3849.377271999413551 1.320233263541865 3850.660611634803900 1.300682854171555 3851.944379121373458 1.297910783398570 3853.228574601771015 1.295764451689021 3854.513198218680827 1.288092472803477 3855.798250114838538 1.280946657801238 3857.083730433024357 1.273383793900873 3858.369639316077155 1.265216464239397 3859.655976906871274 1.247212415949482 3860.942743348333806 1.230644623634104 3862.229938783434136 1.217070426864444 3863.517563355202583 1.195677113009648 3864.805617206704028 1.180752567878704 3866.094100481055648 1.177570756965242 3867.383013321418730 1.177986262007907 3868.672355871013679 1.181230763387040 3869.962128273095914 1.185436698586196 3871.252330670974516 1.189956627191518 3872.542963208001311 1.188542303399652 3873.834026027587242 1.184305528978509 3875.125519273180089 1.184478021268455 3876.417443088279015 1.181855290573633 3877.709797616427295 1.173558545922502 3879.002583001227322 1.160328546774331 3880.295799386318777 1.149042131995152 3881.589446915391818 1.146555268761373 3882.883525732181170 1.153039049171339 3884.178035980481582 1.161572206786099 3885.472977804122820 1.172954225235322 3886.768351346988311 1.184331277069392 3888.064156753007865 1.195238238905320 3889.360394166155857 1.201634315188902 3890.657063730466689 1.207872152650775 3891.954165590010689 1.216847799139338 3893.251699888910480 1.219248532221187 3894.549666771332795 1.211847539726925 3895.848066381503486 1.201203442229615 3897.146898863686147 1.191144706644490 3898.446164362194395 1.188402453899946 3899.745863021387777 1.194920301648981 3901.045994985684956 1.205968947858917 3902.346560399540977 1.221424650737338 3903.647559407463632 1.233086721180499 3904.948992154003918 1.240352570654277 3906.250858783773310 1.241754459211639 3907.553159441420121 1.251619215634878 3908.855894271644502 1.267492765669391 3910.159063419190261 1.271833520426542 3911.462667028862143 1.269708653817190 3912.766705245500816 1.269601394139822 3914.071178214000156 1.260188906648912 3915.376086079296783 1.251991319241061 3916.681428986388710 1.248592928050455 3917.987207080310327 1.245341440816018 3919.293420506147868 1.232182289497856 3920.600069409032130 1.208690256772745 3921.907153934154394 1.195467242691497 3923.214674226741863 1.191105004692725 3924.522630432075402 1.185675743768030 3925.831022695479078 1.182528575759508 3927.139851162337436 1.175899391902376 3928.449115978072314 1.169721233607290 3929.758817288157388 1.168247342591134 3931.068955238115450 1.176133172387664 3932.379529973512490 1.187712211912883 3933.690541639976800 1.191276508802008 3935.001990383171687 1.192803860290012 3936.313876348814574 1.195067237385003 3937.626199682665629 1.200805493745708 3938.938960530546865 1.209128144541083 3940.252159038316677 1.215349140436826 3941.565795351886209 1.221241094592443 3942.879869617210261 1.221819767947476 3944.194381980306389 1.223286943023624 3945.509332587226254 1.234156056576362 3946.824721584076542 1.235628836656434 3948.140549117006685 1.229703132786733 3949.456815332227961 1.227256140163940 3950.773520375988937 1.228715722395064 3952.090664394589112 1.225412046963791 3953.408247534374368 1.221869444981425 3954.726269941750616 1.223966244659092 3956.044731763161053 1.221548142869037 3957.363633145101630 1.212575107194394 3958.682974234111953 1.213831668778638 3960.002755176794835 1.212930928557356 3961.322976119787654 1.201278047416310 3962.643637209781900 1.189928483642701 3963.964738593513630 1.185005639563021 3965.286280417779835 1.181962491467768 3966.608262829414798 1.178031580010098 3967.930685975305096 1.171458596653796 3969.253550002383236 1.164646693148691 3970.576855057641296 1.151595068665758 3971.900601288109556 1.144827259471311 3973.224788840871042 1.147516883723730 3974.549417863057442 1.145327951178473 3975.874488501846372 1.141906666721963 3977.200000904475019 1.141734028623823 3978.525955218219224 1.137352014573868 3979.852351590406670 1.137685750314035 3981.179190168411424 1.136341115686804 3982.506471099667124 1.136408883501190 3983.834194531646517 1.137337842931773 3985.162360611873282 1.133880489936064 3986.490969487918392 1.131324787945064 3987.820021307412389 1.131940020388927 3989.149516218024473 1.132058164139695 3990.479454367475228 1.130392092637851 3991.809835903532530 1.126410749130365 3993.140660974023831 1.124064112715970 3994.471929726815233 1.115578789821952 3995.803642309824681 1.106491209684404 3997.135798871016959 1.106883310797518 3998.468399558417332 1.112557984473679 3999.801444520088353 1.114797037076481 4001.134933904146237 1.114970162743421 4002.468867858752674 1.119676906671305 4003.803246532129833 1.125005616887717 4005.138070072538994 1.127173771925671 4006.473338628293277 1.131498213655859 4007.809052347751731 1.134615289360433 4009.145211379335251 1.132916478455927 4010.481815871502022 1.126615707158842 4011.818865972763888 1.115845223816712 4013.156361831681352 1.102870394279676 4014.494303596861300 1.084689199717372 4015.832691416972011 1.065458227344242 4017.171525440719506 1.051197814557460 4018.510805816862558 1.041733268141799 4019.850532694206322 1.037659874155270 4021.190706221617802 1.034543617450551 4022.531326548000379 1.035402339855860 4023.872393822312461 1.037574350905281 4025.213908193557472 1.037880840092013 4026.555869810800232 1.042634672123463 4027.898278823143755 1.049224680249232 4029.241135379744719 1.056764267692398 4030.584439629805274 1.060283805235803 4031.928191722589418 1.058894954937823 4033.272391807399345 1.052997171764990 4034.617040033590001 1.043975328146008 4035.962136550562718 1.042319228978590 4037.307681507781581 1.050867886469978 4038.653675054746600 1.054634656733811 4040.000117341013265 1.056922813168640 4041.347008516181631 1.059676029945956 4042.694348729914964 1.065472888297164 4044.042138131913362 1.073956882970732 4045.390376871931494 1.079951505719128 4046.739065099769050 1.082285685387487 4048.088202965288929 1.076778690132009 4049.437790618390864 1.063570677704473 4050.787828209029612 1.056752644625550 4052.138315887204499 1.053981821119456 4053.489253802978510 1.050771631875043 4054.840642106451469 1.046513948846502 4056.192480947778222 1.044453124512217 4057.544770477161819 1.046491456335331 4058.897510844853969 1.049021056079055 4060.250702201166405 1.054239280097240 4061.604344696449971 1.061124908365862 4062.958438481109170 1.064110294626859 4064.312983705594888 1.064363299029883 4065.667980520420770 1.063869678800717 4067.023429076137290 1.061257664654438 4068.379329523350407 1.054495895024003 4069.735682012711095 1.046206824017765 4071.092486694933541 1.042420558984260 4072.449743720770130 1.040297301379385 4073.807453241026906 1.037246563340516 4075.165615406555844 1.034175253608646 4076.524230368273038 1.029988777226041 4077.883298277130962 1.025208334535504 4079.242819284137113 1.023777295627336 4080.602793540345829 1.028158087183362 4081.963221196873292 1.033349251401273 4083.324102404873884 1.030925132353170 4084.685437315556555 1.026530377459593 4086.047226080177097 1.020263622766693 4087.409468850052690 1.018307242425781 4088.772165776540987 1.021083472004639 4090.135317011051484 1.024943499297554 4091.498922705041423 1.023990672597965 4092.862983010031712 1.017699364388920 4094.227498077579185 1.012476956284516 4095.592468059297971 1.010892687525651 4096.957893106846313 1.012298538405437 4098.323773371947027 1.015791769437398 4099.690109006359307 1.015151234107494 4101.056900161899648 1.013077269691626 4102.424146990432746 1.012578509836433 4103.791849643871501 1.010663048441981 4105.160008274190659 1.008329785957197 4106.528623033404074 1.009477267234500 4107.897694073580169 1.007645634838044 4109.267221546832843 0.998437566867037 4110.637205605340569 0.988172588222343 4112.007646401320017 0.978198071066481 4113.378544087042428 0.967413503680027 4114.749898814825428 0.955211156905087 4116.121710737049398 0.943459598326556 4117.493980006134734 0.933910589888877 4118.866706774555496 0.922581618667242 4120.239891194832126 0.915314102386190 4121.613533419550549 0.915005490485262 4122.987633601332163 0.918382594874747 4124.362191892854753 0.921681974896125 4125.737208446842487 0.926096581081388 4127.112683416085019 0.928611504939525 4128.488616953407472 0.929374358911530 4129.865009211691358 0.926319746762914 4131.241860343865483 0.925130699167719 4132.619170502922316 0.926783934327455 4133.996939841889798 0.919607272805356 4135.375168513855897 0.909528499080950 4136.753856671951326 0.902095110567974 4138.133004469372281 0.895023747914269 4139.512612059354069 0.890019695695758 4140.892679595185655 0.884492802537237 4142.273207230208754 0.882047908785741 4143.654195117809650 0.881338799725538 4145.035643411441015 0.877279335979395 4146.417552264592814 0.873809649442447 4147.799921830809581 0.868674425142380 4149.182752263684961 0.862119041272081 4150.566043716874447 0.859922992900479 4151.949796344072638 0.861846865440764 4153.334010299031434 0.862967409241575 4154.718685735546387 0.861387899994953 4156.103822807478537 0.856395593739138 4157.489421668729847 0.852945619444591 4158.875482473254124 0.850422390136962 4160.262005375053377 0.845573085253027 4161.648990528196009 0.836041908720047 4163.036438086785893 0.820600704943630 4164.424348204985108 0.805191689494743 4165.812721037000301 0.792983883963580 4167.201556737103601 0.779632018896910 4168.590855459607155 0.768645095702007 4169.980617358876771 0.763435052899310 4171.370842589325548 0.757835899785009 4172.761531305432072 0.749383285244326 4174.152683661713127 0.740548532824394 4175.544299812741883 0.735435994902889 4176.936379913136079 0.733334298367130 4178.328924117581664 0.731290796791479 4179.721932580800967 0.729443594868023 4181.115405457572706 0.724789346239615 4182.509342902722892 0.718037282384795 4183.903745071141202 0.715786987567710 4185.298612117758239 0.718820846019050 4186.693944197559176 0.720334284478372 4188.089741465580119 0.717353172682016 4189.486004076905374 0.709648510394525 4190.882732186684734 0.698814623573412 4192.279925950104371 0.687084868689063 4193.677585522409572 0.677301244742376 4195.075711058891102 0.673129280995741 4196.474302714904297 0.669888800983317 4197.873360645844514 0.665685767646616 4199.272885007162586 0.662129993945791 4200.672875954356641 0.660726102042362 4202.073333642990292 0.663330313032955 4203.474258228665349 0.668515627250678 4204.875649867039101 0.674847433066792 4206.277508713819770 0.683210504945256 4207.679834924775605 0.693102958345848 4209.082628655718509 0.700748570077994 4210.485890062512226 0.705568057605327 4211.889619301072344 0.710693923698911 4213.293816527376293 0.718976467026125 4214.698481897441525 0.729374473699305 4216.103615567342786 0.741771662580326 4217.509217693202118 0.752686014136703 4218.915288431204317 0.759886195584694 4220.321827937576927 0.768426890185887 4221.728836368601151 0.777272180711414 4223.136313880607304 0.784972944852096 4224.544260629990276 0.795863677217803 4225.952676773184066 0.812813408826505 4227.361562466679970 0.828309173843233 4228.770917867020216 0.840858849175508 4230.180743130796145 0.851309285344373 4231.591038414662762 0.861673440349752 4233.001803875316000 0.878560429039905 4234.413039669508180 0.893134593420928 4235.824745954037098 0.904615618086312 4237.236922885768763 0.912935228649428 4238.649570621608291 0.920975742041445 4240.062689318514458 0.928673916302978 4241.476279133497883 0.934771741239594 4242.890340223631938 0.937922563898550 4244.304872746030014 0.943836295841491 4245.719876857863710 0.952086498031234 4247.135352716350098 0.956828417308510 4248.551300478772646 0.961552209098365 4249.967720302455746 0.969802611784358 4251.384612344778361 0.984635589262760 4252.801976763169478 1.001660278243429 4254.219813715121745 1.013812094845364 4255.638123358169651 1.024858205117425 4257.056905849901341 1.033258967179090 4258.476161347956804 1.039197366205443 4259.895890010038784 1.048730994379563 4261.316091993890041 1.057821052996994 4262.736767457312453 1.065630992482442 4264.157916558152465 1.072254103834831 4265.579539454325641 1.076496634851668 4267.001636303785745 1.078391706157532 4268.424207264542929 1.080494854832532 4269.847252494656459 1.084264111008572 4271.270772152251084 1.092194028603067 4272.694766395491570 1.102866166492990 4274.119235382599982 1.114019329321342 4275.544179271849316 1.125917566087205 4276.969598221563501 1.135706243779080 4278.395492390130130 1.142875721388624 4279.821861935978632 1.150927898178328 4281.248707017593915 1.159255814111147 4282.676027793509093 1.169803898361553 4284.103824422326397 1.178646810186381 4285.532097062683533 1.185846434966349 4286.960845873278231 1.187178220527150 4288.390071012855515 1.182959855680892 4289.819772640227711 1.176868466979549 4291.249950914245346 1.174223851031134 4292.680605993817153 1.173812208028713 4294.111738037900977 1.172860016500175 4295.543347205521059 1.172441860274092 4296.975433655738925 1.169579833473687 4298.407997547676132 1.167115431915923 4299.841039040501528 1.163969662585709 4301.274558293451264 1.161612115634960 4302.708555465801510 1.162933617439543 4304.143030716883914 1.164775593052765 4305.577984206081055 1.167421671100339 4307.013416092840998 1.169324418149259 4308.449326536651824 1.166202061297352 4309.885715697058913 1.162489133606695 4311.322583733655847 1.162661734019207 4312.759930806104421 1.167095767251469 4314.197757074106448 1.174104532448685 4315.636062697418311 1.178836697229986 4317.074847835848232 1.185363973063778 4318.514112649269919 1.195110511416824 4319.953857297598006 1.202724400817043 4321.394081940803517 1.211211151557794 4322.834786738911134 1.225789642646011 4324.275971851995564 1.240754110551072 4325.717637440196995 1.255397903571353 4327.159783663694725 1.270650811500984 4328.602410682729897 1.287025950042875 4330.045518657587309 1.306098485275908 4331.489107748622700 1.321719560554432 4332.933178116230920 1.335783090518279 4334.377729920862294 1.350746068370478 4335.822763323019899 1.367754157361964 4337.268278483270478 1.382289887841577 4338.714275562223520 1.396819407795907 4340.160754720545810 1.412226786340253 4341.607716118950520 1.426538696029366 4343.055159918222671 1.441913349026969 4344.503086279182753 1.453562033993998 4345.951495362713104 1.461373667640830 4347.400387329743353 1.469454827172019 4348.849762341269525 1.473534153420468 4350.299620558328570 1.473732595477562 4351.749962142017466 1.474276233583756 4353.200787253479575 1.477684291203683 4354.652096053927380 1.483508379361677 4356.103888704612473 1.487482852925129 4357.556165366844652 1.489622842457967 4359.008926201984650 1.496234595198788 4360.462171371458680 1.503579207451854 4361.915901036734795 1.511027194755731 4363.370115359336523 1.522232811272305 4364.824814500844695 1.532427315990612 4366.279998622888343 1.539131447956855 4367.735667887162890 1.539995927004639 4369.191822455404690 1.536341249494329 4370.648462489409212 1.533636638057655 4372.105588151020129 1.529308833270499 4373.563199602150235 1.522762844332311 4375.021297004752341 1.516497386909850 4376.479880520835650 1.508979816104422 4377.938950312460292 1.502330836418270 4379.398506541756433 1.499534667887431 4380.858549370890614 1.500230667600847 4382.319078962090316 1.503102983837789 4383.780095477632130 1.503656874628483 4385.241599079860862 1.503270749323682 4386.703589931160423 1.506319332829440 4388.166068193973842 1.509690505604337 4389.629034030795083 1.514755206671866 4391.092487604185408 1.518440085336096 4392.556429076744280 1.518830613175576 4394.020858611133917 1.515023334458334 4395.485776370063832 1.509510307255090 4396.951182516310837 1.507757161281457 4398.417077212693584 1.511551195403089 4399.883460622088933 1.517105545892345 4401.350332907425582 1.522433106000022 4402.817694231695896 1.525640339634692 4404.285544757937714 1.528625700222277 4405.753884649244355 1.532881418456999 4407.222714068760069 1.536518839950236 4408.692033179698228 1.538844465839842 4410.161842145310402 1.535919900436743 4411.632141128910007 1.527133477866272 4413.102930293863210 1.515459901918299 4414.574209803586200 1.506923396847649 4416.045979821564288 1.502262464385989 4417.518240511321892 1.496547687348428 4418.990992036444368 1.487545444208943 4420.464234560566183 1.478462614008386 4421.937968247389108 1.472019069570016 4423.412193260658569 1.470360782693332 4424.886909764175471 1.473157442452799 4426.362117921793470 1.478231091893939 4427.837817897434434 1.483818810509052 4429.314009855059339 1.486428753810426 4430.790693958689189 1.486777458594518 4432.267870372396828 1.486117623784955 4433.745539260321493 1.485062777791523 4435.223700786643349 1.485012447713265 4436.702355115603496 1.485919611170224 4438.181502411492147 1.483873456575958 4439.661142838667729 1.475927318214205 4441.141276561530503 1.463551655527852 4442.621903744539850 1.449441608750040 4444.103024552205170 1.436953089413081 4445.584639149104987 1.427231943233346 4447.066747699857842 1.421015630671903 4448.549350369142303 1.416735485897196 4450.032447321687869 1.409876381961673 4451.516038722293160 1.401001834865785 4453.000124735795907 1.395528874607204 4454.484705527094775 1.397702997034318 4455.969781261138451 1.406035389525018 4457.455352102944744 1.412637589271969 4458.941418217572391 1.419037264863891 4460.427979770141064 1.426580551399848 4461.915036925822278 1.433261179809528 4463.402589849841206 1.437768211381328 4464.890638707490325 1.440930379211443 4466.379183664103948 1.442436746290067 4467.868224885075506 1.443160502075963 4469.357762535850270 1.437702804934675 4470.847796781940815 1.431418538650584 4472.338327788902461 1.425944178421410 4473.829355722349646 1.414281068927980 4475.320880747947740 1.402907731448486 4476.812903031430324 1.399461998301838 4478.305422738573725 1.400811361020772 4479.798440035212479 1.405187360167844 4481.291955087233873 1.410005949380738 4482.785968060593405 1.416989639995093 4484.280479121286589 1.426428546074906 4485.775488435370789 1.430830479351361 4487.270996168954298 1.436909303322565 4488.767002488212711 1.445585582084456 4490.263507559365280 1.448834314094063 4491.760511548690374 1.445768885036965 4493.258014622516384 1.442548847538057 4494.756016947241733 1.437853039244980 4496.254518689307588 1.430851684529480 4497.753520015212416 1.420923096981189 4499.253021091509254 1.412809830830502 4500.753022084817530 1.405489838662672 4502.253523161799421 1.398506750546818 4503.754524489178038 1.394252320685601 4505.256026233730154 1.392559647232007 4506.758028562285290 1.390714921412973 4508.260531641741181 1.390335737721537 4509.763535639039219 1.392814611621934 4511.267040721179001 1.391767253607637 4512.771047055211966 1.388370191712798 4514.275554808260495 1.386791973475769 4515.780564147485165 1.387685331166257 4517.286075240111131 1.389184422532929 4518.792088253411748 1.385027022386828 4520.298603354732222 1.376437287576998 4521.805620711456868 1.362576043890500 4523.313140491032755 1.344523702028168 4524.821162860958793 1.328019401918841 4526.329687988800288 1.314348017529749 4527.838716042167107 1.302121898465379 4529.348247188730056 1.288818081209517 4530.858281596208144 1.269853392899654 4532.368819432394957 1.250275180969699 4533.879860865120463 1.232318929697417 4535.391406062281021 1.215860773380559 4536.903455191819376 1.202155652688025 4538.416008421751030 1.192891252933335 4539.929065920132416 1.185309132641025 4541.442627855081810 1.175006334940577 4542.956694394767510 1.160537673742918 4544.471265707428756 1.144295549959716 4545.986341961345715 1.130903239030463 4547.501923324861309 1.121910366856802 4549.018009966368481 1.116594685175334 4550.534602054330207 1.112546619136848 4552.051699757253118 1.106101362128109 4553.569303243702961 1.097840243504898 4555.087412682301874 1.093154341105790 4556.606028241723834 1.092950749355859 4558.125150090714669 1.097794199605431 4559.644778398060225 1.103774419308240 4561.164913332607284 1.107809827078827 4562.685555063256288 1.108327831061037 4564.206703758976801 1.110059583394775 4565.728359588779313 1.113452913572383 4567.250522721738889 1.115242489712442 4568.773193326977889 1.115166208942759 4570.296371573692340 1.116792008160181 4571.820057631119198 1.118910754408794 4573.344251668557263 1.122103489346594 4574.868953855356267 1.127439755130752 4576.394164360937793 1.132131840959561 4577.919883354765261 1.136381550930634 4579.446111006361207 1.139989787279935 4580.972847485303646 1.144307000955886 4582.500092961237897 1.148227015658030 4584.027847603853843 1.153184842513351 4585.556111582902304 1.158753023412841 4587.084885068185031 1.163270477023581 4588.614168229575625 1.164857478580974 4590.143961236989526 1.165739364643394 4591.674264260404016 1.167504091925966 4593.205077469848220 1.168172506863904 4594.736401035421295 1.171402283374563 4596.268235127266053 1.176822681527898 4597.800579915586241 1.178510061486523 4599.333435570641996 1.178684905648382 4600.866802262746205 1.175936065541799 4602.400680162281787 1.171870277553405 4603.935069439676226 1.168809683431857 4605.469970265416123 1.164478898140612 4607.005382810041738 1.158922660607814 4608.541307244163363 1.150524095250919 4610.077743738435856 1.140699513336952 4611.614692463572283 1.133306569545009 4613.152153590342095 1.127561649114737 4614.690127289582961 1.123611803770181 4616.228613732176200 1.121680033743739 4617.767613089064071 1.120841432373011 4619.307125531242491 1.118213245919429 4620.847151229777410 1.113840430504604 4622.387690355778432 1.110276244919750 4623.928743080417007 1.105558815365905 4625.470309574915518 1.097719413034844 4627.012390010569106 1.086922445150602 4628.554984558714750 1.074880682576382 4630.098093390753093 1.062211734536294 4631.641716678134799 1.050487005316213 4633.185854592383293 1.040961306523067 4634.730507305064748 1.033042756582873 4636.275674987808088 1.025387572064005 4637.821357812292263 1.018259839689886 4639.367555950270798 1.012887525393737 4640.914269573537240 1.006990028174834 4642.461498853950616 1.002252031148682 4644.009243963419067 0.998718298915706 4645.557505073923494 0.994860185418935 4647.106282357489363 0.992683883942572 4648.655575986203075 0.992432402475267 4650.205386132207423 0.992894966830801 4651.755712967698855 0.994481036531609 4653.306556664945674 0.995446658188054 4654.857917396258927 0.997650439471945 4656.409795334012415 1.001539265680220 4657.962190650632692 1.005459376599129 4659.515103518616343 1.010074720908704 4661.068534110505425 1.014612579142107 4662.622482598902934 1.018998694541056 4664.176949156465525 1.024377837431705 4665.731933955920795 1.030193462998869 4667.287437170039993 1.036528806526525 4668.843458971657128 1.042766087520562 4670.399999533658956 1.049128543920577 4671.957059029003176 1.055934314219215 4673.514637630692050 1.063070279387702 4675.072735511790597 1.069392701793908 4676.631352845414767 1.075663489716785 4678.190489804754179 1.081640501979686 4679.750146563042108 1.086798441994136 4681.310323293572765 1.089301310272218 4682.871020169695839 1.090570527840077 4684.432237364830144 1.089720257199495 4685.993975052440874 1.087084169118538 4687.556233406052343 1.082176517613185 4689.119012599246162 1.075914537084621 4690.682312805673064 1.068412439280116 4692.246134199029257 1.059752495796573 4693.810476953070975 1.051089100094847 4695.375341241609931 1.044301685603632 4696.940727238530599 1.036807230632758 4698.506635117758378 1.027222737672613 4700.073065053284154 1.016402485088927 4701.640017219155197 1.005407212448177 4703.207491789472442 0.994149499201776 4704.775488938410490 0.981545003390867 4706.344008840183960 0.968501088283442 4707.913051669075685 0.953945617599097 4709.482617599416699 0.937412200204926 4711.052706805614434 0.920391883719635 4712.623319462117252 0.902638922708757 4714.194455743438084 0.886098075959167 4715.766115824143526 0.870297694418915 4717.338299878871112 0.852812254806780 4718.911008082303852 0.835000939534334 4720.484240609186600 0.816840479444778 4722.057997634318781 0.800152915575849 4723.632279332570761 0.784297927549978 4725.207085878859289 0.769054260357710 4726.782417448162050 0.755316773191300 4728.358274215510392 0.741468953790428 4729.934656356011146 0.727448168563217 4731.511564044811166 0.715327123619880 4733.088997457123696 0.703714023588763 4734.666956768213822 0.692302050041467 4736.245442153419390 0.679800589951987 4737.824453788123719 0.667690846315865 4739.403991847771977 0.656380631075697 4740.984056507863897 0.646108336277109 4742.564647943971977 0.637085628264744 4744.145766331712366 0.629674721753347 4745.727411846764880 0.622680005442867 4747.309584664868453 0.615544833876598 4748.892284961814767 0.608719570436681 4750.475512913469174 0.603797675189657 4752.059268695740684 0.599789222007827 4753.643552484602878 0.596507347221930 4755.228364456081181 0.594571399004071 4756.813704786277412 0.593308606346037 4758.399573651334322 0.592447688848333 4759.985971227459231 0.592558484705194 4761.572897690914942 0.595587586351727 4763.160353218036107 0.600131593269652 4764.748337985201033 0.604893850035388 4766.336852168852602 0.610558565076261 4767.925895945487355 0.617427278857790 4769.515469491676413 0.625192432731883 4771.105572984033643 0.633674443658815 4772.696206599237485 0.642692248555073 4774.287370514020040 0.652713499846438 4775.879064905186169 0.662843944200059 4777.471289949587117 0.673743902300018 4779.064045824135974 0.684596008320163 4780.657332705801309 0.695600151013593 4782.251150771624452 0.706555895886475 4783.845500198692207 0.716544987260279 4785.440381164153223 0.726485591209948 4787.035793845211629 0.736068506470325 4788.631738419146131 0.745768864665536 4790.228215063279094 0.755868342212041 4791.825223954996545 0.763866361059680 4793.422765271738172 0.770180751520525 4795.020839191019149 0.776215826336471 4796.619445890399220 0.782318065641418 4798.218585547499970 0.788942816966396 4799.818258340003922 0.794557330519479 4801.418464445647260 0.799184572064408 4803.019204042241654 0.802434028895511 4804.620477307641522 0.803756386885908 4806.222284419765856 0.805138117841819 4807.824625556588217 0.808038591613137 4809.427500896156744 0.811979162544851 4811.030910616563233 0.816376903425223 4812.634854895964963 0.819523986904713 4814.239333912573784 0.822922407252875 4815.844347844673393 0.827064831405270 4817.449896870593875 0.830600941869539 4819.055981168730796 0.834108125576672 4820.662600917531563 0.838401415102218 4822.269756295520892 0.843018209934515 4823.877447481265335 0.847809938866421 4825.485674653397837 0.853326552550200 4827.094437990605002 0.858858432074347 4828.703737671648923 0.864511675767001 4830.313573875335351 0.869471622562851 4831.923946780535516 0.874467541848217 4833.534856566173403 0.880345739673278 4835.146303411250301 0.886574621779110 4836.758287494810247 0.892429770141278 4838.370808995962761 0.898329310278326 4839.983868093871024 0.903293619317887 4841.597464967775522 0.906390663036344 4843.211599796958581 0.907580110896822 4844.826272760768916 0.908362481792518 4846.441484038608905 0.908453364273429 4848.057233809957324 0.908097400752871 4849.673522254337513 0.908626120422985 4851.290349551335567 0.910098720168261 4852.907715880599426 0.909957225560240 4854.525621421832511 0.907648727771337 4856.144066354811002 0.904425231871498 4857.763050859357463 0.902339724428865 4859.382575115358122 0.901082668915134 4861.002639302757416 0.899949350507998 4862.623243601569811 0.899769755563389 4864.244388191859798 0.899623439097349 4865.866073253752802 0.898227521377407 4867.488298967431547 0.895881158358580 4869.111065513154244 0.895801855556258 4870.734373071221853 0.898588944068908 4872.358221822003543 0.902503346731064 4873.982611945920326 0.906298032862651 4875.607543623470519 0.910572024652126 4877.233017035197918 0.914444815851387 4878.859032361709069 0.917620746935414 4880.485589783668729 0.920912779049003 4882.112689481815323 0.925625265874489 4883.740331636932751 0.931405487432421 4885.368516429868578 0.937162296934152 4886.997244041529484 0.941256676876623 4888.626514652894002 0.944778857243431 4890.256328444987048 0.948370596659501 4891.886685598899930 0.951815836149763 4893.517586295777619 0.954964986275564 4895.149030716841480 0.958864108636064 4896.781019043358356 0.961935600842163 4898.413551456660571 0.963936035309363 4900.046628138139567 0.964963266563087 4901.680249269244086 0.965636481960459 4903.314415031497447 0.966818599546765 4904.949125606469352 0.968217638265889 4906.584381175793169 0.970416662182741 4908.220181921158655 0.973072084913574 4909.856528024332874 0.973479710325782 4911.493419667126545 0.972919853383176 4913.130857031415871 0.973087816704493 4914.768840299133444 0.974747025738851 4916.407369652289162 0.976069389123073 4918.046445272933852 0.976514950197121 4919.686067343190189 0.976814719557351 4921.326236045230871 0.977052106598960 4922.966951561307724 0.975855814838334 4924.608214073718045 0.976683570309365 4926.250023764823709 0.980331258113325 4927.892380817042977 0.985012362080708 4929.535285412870508 0.988511553523948 4931.178737734846436 0.991091594550184 4932.822737965575470 0.993832644507311 4934.467286287719617 0.997548336847948 4936.112382884017279 1.002059900084334 4937.758027937250517 1.007984785976092 4939.404221630271422 1.015920974680265 4941.050964145982107 1.024373289325515 4942.698255667366539 1.031530419889282 4944.346096377450522 1.038418267951027 4945.994486459328073 1.043461415932099 4947.643426096148687 1.048133047749964 4949.292915471138258 1.052722337330294 4950.942954767568153 1.058243353217629 4952.593544168775225 1.062842115060425 4954.244683858159988 1.066338830545184 4955.896374019174800 1.067333948273274 4957.548614835353874 1.068027478724767 4959.201406490272348 1.070694703647407 4960.854749167574482 1.073337922833195 4962.508643050960018 1.078662314858816 4964.163088324204182 1.086600305069556 4965.818085171131315 1.094660560204123 4967.473633775627604 1.102664222682188 4969.129734321639262 1.110357737253741 4970.786386993186170 1.118133295106807 4972.443591974338233 1.125307325646653 4974.101349449227200 1.130277256659693 4975.759659602043030 1.135044402118009 4977.418522617054805 1.140912230480395 4979.077938678573446 1.144573765877737 4980.737907970979904 1.146456321361660 4982.398430678708792 1.147616770674075 4984.059506986273846 1.149843790016506 4985.721137078233369 1.151752965751328 4987.383321139213876 1.153106748808087 4989.046059353896453 1.156144125728037 4990.709351907040400 1.160002917517733 4992.373198983450493 1.164253893630955 4994.037600767998811 1.168359098198618 4995.702557445614730 1.172609687341357 4997.368069201302205 1.176045316875309 4999.034136220114306 1.178952372420886 5000.700758687167763 1.181530968344704 5002.367936787644794 1.184763966166854 5004.035670706781275 1.188512402697399 5005.703960629891299 1.191307496427842 5007.372806742336252 1.192153695452342 5009.042209229542095 1.191323570629022 5010.712168276992998 1.190504504968288 5012.382684070251344 1.188617601964816 5014.053756794924084 1.184206354721212 5015.725386636685471 1.178683456521620 5017.397573781267965 1.171805609513055 5019.070318414480425 1.164716030380352 5020.743620722177184 1.156780614483574 5022.417480890281695 1.148279783484514 5024.091899104772892 1.141242552716476 5025.766875551708836 1.132951777423276 5027.442410417190331 1.125627835476272 5029.118503887390034 1.121231865752868 5030.795156148533351 1.117877754214353 5032.472367386927544 1.114637516469231 5034.150137788923530 1.111990150658604 5035.828467540939528 1.108408113146301 5037.507356829451965 1.106196182874979 5039.186805841014575 1.104786592303616 5040.866814762227477 1.104528218870302 5042.547383779758093 1.103867238283391 5044.228513080332050 1.101481501531930 5045.910202850750466 1.099314308475038 5047.592453277863569 1.097881612745874 5049.275264548587074 1.096746122291001 5050.958636849896720 1.096400415446795 5052.642570368841916 1.096759883272270 5054.327065292523002 1.096603021584043 5056.012121808105803 1.096804744406144 5057.697740102817988 1.099115121118818 5059.383920363945435 1.103572656742169 5061.070662778852238 1.109593978075901 5062.757967534949785 1.116289338668543 5064.445834819714946 1.121827101967951 5066.134264820683711 1.128020012354282 5067.823257725471194 1.133527253092576 5069.512813721736165 1.139825484253118 5071.202932997207427 1.145454582954666 5072.893615739671986 1.150042614136944 5074.584862136993252 1.152610819198619 5076.276672377081923 1.155373051917087 5077.969046647916912 1.158032413540485 5079.661985137535339 1.161274442005372 5081.355488034050722 1.164705039201689 5083.049555525626602 1.169006223747080 5084.744187800491090 1.172656790175586 5086.439385046932330 1.176944943800747 5088.135147453314858 1.181263482187857 5089.831475208053234 1.185141833101566 5091.528368499627504 1.188015534840570 5093.225827516575919 1.190488716928845 5094.923852447514946 1.193413610988239 5096.622443481110167 1.195656659078426 5098.321600806092647 1.195926473846300 5100.021324611253476 1.196043863794824 5101.721615085461053 1.193781763061503 5103.422472417631070 1.191444882462666 5105.123896796747431 1.190381271286265 5106.825888411852247 1.188145981669443 5108.528447452065848 1.183850849591527 5110.231574106557673 1.177378881130223 5111.935268564562648 1.169983770289205 5113.639531015380271 1.162136760686742 5115.344361648368249 1.152763297207297 5117.049760652962505 1.142547275360945 5118.755728218646254 1.132096564101744 5120.462264534971837 1.120305203728492 5122.169369791548888 1.107232411082218 5123.877044178067081 1.095209718577990 5125.585287884261561 1.083776703349961 5127.294101099937507 1.070960713316450 5129.003484014958303 1.058246310025422 5130.713436819265553 1.046646288474242 5132.423959702849061 1.036469198665500 5134.135052855766844 1.027325498779394 5135.846716468135128 1.015623633212469 5137.558950730148354 1.003678320227325 5139.271755832050985 0.993571926365555 5140.985131964152970 0.983651797774939 5142.699079316826101 0.975708011654563 5144.413598080518568 0.970260737867799 5146.128688445727676 0.964818363586702 5147.844350603018029 0.957695333951056 5149.560584743013351 0.949404695635164 5151.277391056418310 0.942676790637008 5152.994769733983048 0.939182547226491 5154.712720966526831 0.936239648336638 5156.431244944929858 0.932702077608217 5158.150341860147819 0.928750601443840 5159.870011903186423 0.923968503150680 5161.590255265120504 0.919285452743399 5163.311072137088559 0.916876217291115 5165.032462710287291 0.916052213501626 5166.754427175992532 0.914852622260881 5168.476965725527407 0.912055787531347 5170.200078550286889 0.909963530641274 5171.923765841721433 0.909957022306155 5173.648027791363347 0.911645371014729 5175.372864590790414 0.914638270150032 5177.098276431653176 0.919381563893689 5178.824263505657655 0.924488215648192 5180.550826004589908 0.927789570855591 5182.277964120286924 0.931113320557282 5184.005678044652086 0.935729812550473 5185.733967969646983 0.940179325561342 5187.462834087316878 0.942729142032546 5189.192276589750691 0.943077839483889 5190.922295669110099 0.943594118053806 5192.652891517613170 0.942844763833700 5194.384064327558917 0.940448277204198 5196.115814291295464 0.940121704863658 5197.848141601238240 0.943035431819382 5199.581046449864516 0.946288888025037 5201.314529029727964 0.948065814271692 5203.048589533434097 0.948961084642434 5204.783228153654818 0.949619159666108 5206.518445083123879 0.951156150217508 5208.254240514652338 0.954082820221133 5209.990614641102184 0.957590729528061 5211.727567655403618 0.959766358378899 5213.465099750545050 0.960566855186642 5215.203211119597654 0.959448609628020 5216.941901955678986 0.960308238006681 5218.681172451977545 0.963621327807920 5220.421022801744584 0.968269598859775 5222.161453198292293 0.972798497459995 5223.902463835011986 0.975709582131158 5225.644054905344092 0.979680122444879 5227.386226602799070 0.986207382720755 5229.128979120945587 0.992147564389567 5230.872312653434165 1.000817643814056 5232.616227393962617 1.009997211478744 5234.360723536299702 1.019399914871511 5236.105801274272380 1.029345096518502 5237.851460801789472 1.038731771397632 5239.597702312807087 1.046617952579854 5241.344526001354097 1.053239890613596 5243.091932061513944 1.058173215282006 5244.839920687454651 1.063232552540655 5246.588492073392445 1.067459288660823 5248.337646413612674 1.068815337369462 5250.087383902459806 1.067014239515979 5251.837704734360159 1.062466487161398 5253.588609103789167 1.058133215641664 5255.340097205291386 1.055369073499986 5257.092169233470486 1.053781760075489 5258.844825383013813 1.052698369549577 5260.598065848653277 1.051257699989333 5262.351890825193550 1.048388969752212 5264.106300507501146 1.045008800584406 5265.861295090518979 1.042870787252780 5267.616874769240894 1.043434860497460 5269.373039738733496 1.044152990006124 5271.129790194117959 1.045010921510315 5272.887126330601859 1.044251088436831 5274.645048343438248 1.041709147399607 5276.403556427952935 1.039891846259141 5278.162650779533578 1.039037769827268 5279.922331593632407 1.039485026892573 5281.682599065778049 1.038609038804766 5283.443453391550975 1.036555275403680 5285.204894766602592 1.033717718722282 5286.966923386642520 1.029176762141994 5288.729539447462230 1.023821556701999 5290.492743144902306 1.019892267479974 5292.256534674876093 1.014283007314852 5294.020914233353324 1.008466767324936 5295.785882016387404 1.002346969928344 5297.551438220079945 0.995807102339465 5299.317583040604404 0.988599707334125 5301.084316674194270 0.982676546016059 5302.851639317163063 0.978674236041572 5304.619551165875237 0.972467749367523 5306.388052416765277 0.965935341380640 5308.157143266328603 0.961353736979497 5309.926823911140673 0.955570621847417 5311.697094547826055 0.949698649172387 5313.467955373083896 0.945687239691984 5315.239406583670643 0.941715061672765 5317.011448376424596 0.935844561050302 5318.784080948233168 0.927936272993398 5320.557304496056531 0.921935472002729 5322.331119216913066 0.915096636989704 5324.105525307905737 0.907189760783917 5325.880522966184799 0.900243250613846 5327.656112388971451 0.893367463136638 5329.432293773553283 0.885789990117723 5331.209067317279732 0.878750784808242 5332.986433217579361 0.872996606519369 5334.764391671933481 0.868304785741491 5336.542942877891619 0.864414842892217 5338.322087033065145 0.860947818197075 5340.101824335149104 0.858240752113496 5341.882154981885833 0.856542438593270 5343.663079171088611 0.853449915321365 5345.444597100634383 0.850973153112919 5347.226708968479215 0.849038936124901 5349.009414972631930 0.846836449079677 5350.792715311167740 0.844969645664482 5352.576610182228251 0.842562817128467 5354.361099784034195 0.842367922595209 5356.146184314857237 0.843076778854597 5357.931863973039071 0.843331688776321 5359.718138956983239 0.845851631043564 5361.505009465176954 0.850454026542834 5363.292475696154725 0.855499762872093 5365.080537848523818 0.862201249395657 5366.869196120953347 0.870000469102181 5368.658450712192462 0.879876269605840 5370.448301821043060 0.889304376685603 5372.238749646377983 0.899153229882233 5374.029794387128277 0.911489540659883 5375.821436242312302 0.924466634023669 5377.613675410993892 0.935614122738114 5379.406512092312369 0.947366417080610 5381.199946485465262 0.959556454086946 5382.993978789734683 0.972045759526593 5384.788609204451859 0.984810384747395 5386.583837929018955 0.997862572771195 5388.379665162907258 1.010093503310469 5390.176091105648084 1.021831626641582 5391.973115956854599 1.033044963388658 5393.770739916189996 1.045143054304063 5395.568963183390224 1.058443918517519 5397.367785958253990 1.070663644318454 5399.167208440660943 1.081077358088496 5400.967230830539847 1.091918213227298 5402.767853327895864 1.102724557384476 5404.569076132790542 1.113652723973039 5406.370899445370924 1.124440851251453 5408.173323465834983 1.133517408669404 5409.976348394451634 1.142844783016018 5411.779974431551636 1.152205286224093 5413.584201777548515 1.160924798175569 5415.389030632906724 1.170033951655286 5417.194461198163481 1.178371143978633 5419.000493673915116 1.184882886524849 5420.807128260844365 1.191548395418180 5422.614365159682166 1.197693403972778 5424.422204571232214 1.204514252286505 5426.230646696361873 1.211411061589436 5428.039691736017630 1.216815601214261 5429.849339891201453 1.220973432231765 5431.659591362983520 1.223049052743531 5433.470446352497675 1.223984787251261 5435.281905060961435 1.224851958190687 5437.093967689643250 1.226358440023154 5438.906634439882509 1.227276034831180 5440.719905513086815 1.227967577776786 5442.533781110723794 1.227785909409551 5444.348261434349297 1.226905130458113 5446.163346685563738 1.225976377976283 5447.979037066045748 1.224223903654278 5449.795332777530348 1.223087249702848 5451.612234021842596 1.223243272122274 5453.429741000852118 1.225343280571291 5455.247853916505846 1.225542482534898 5457.066572970808920 1.224563242128557 5458.885898365853791 1.223792364659228 5460.705830303782932 1.222680280143573 5462.526368986808848 1.220393535722391 5464.347514617209526 1.218201310209545 5466.169267397344811 1.219160924547974 5467.991627529627294 1.220076896958846 5469.814595216540511 1.220276282549236 5471.638170660630749 1.219749942417280 5473.462354064528881 1.222026926670800 5475.287145630916712 1.224785712396271 5477.112545562547893 1.227149933147835 5478.938554062240655 1.228636503548402 5480.765171332895079 1.230507577970103 5482.592397577462179 1.232859865560730 5484.420232998969368 1.234638373846543 5486.248677800501355 1.236991829818008 5488.077732185231071 1.238834709965954 5489.907396356381469 1.239974565529261 5491.737670517248262 1.240228187328185 5493.568554871189917 1.239142264001616 5495.400049621647668 1.237207341210474 5497.232154972117314 1.237303209411250 5499.064871126165599 1.239119721790686 5500.898198287427476 1.239149346514898 5502.732136659599746 1.239309374324867 5504.566686446465610 1.239525062083950 5506.401847851858292 1.238767299858094 5508.237621079682867 1.236975452536078 5510.074006333910802 1.235435104754237 5511.911003818595418 1.234715826077184 5513.748613737840969 1.233618020255847 5515.586836295828107 1.231582422080917 5517.425671696795689 1.229338699506655 5519.265120145071705 1.227212793547443 5521.105181845034167 1.225095982232062 5522.945857001133845 1.222412860034163 5524.787145817883356 1.223066175962270 5526.629048499882629 1.224116174152823 5528.471565251782522 1.223062520772520 5530.314696278306656 1.223019231046345 5532.158441784240495 1.223271380365235 5534.002801974457725 1.223489868149762 5535.847777053881146 1.224800164950320 5537.693367227507224 1.225873698694752 5539.539572700396093 1.226153101953350 5541.386393677693377 1.226560875625174 5543.233830364596542 1.226040900573804 5545.081882966374906 1.224503594306206 5546.930551688361447 1.224408626892384 5548.779836735978279 1.225284076081461 5550.629738314692077 1.225264140338644 5552.480256630050462 1.224366025088062 5554.331391887658356 1.221915195769213 5556.183144293210717 1.218869560145024 5558.035514052451617 1.217333050963591 5559.888501371199709 1.214101063710328 5561.742106455342764 1.211175831477741 5563.596329510830401 1.210665812893441 5565.451170743699549 1.210723227403713 5567.306630360038071 1.211053436708948 5569.162708566007495 1.212057128565692 5571.019405567834838 1.213123997095792 5572.876721571828966 1.213889200367467 5574.734656784352410 1.212428621488739 5576.593211411844095 1.210455577416113 5578.452385660804794 1.208204601715628 5580.312179737818951 1.204677019882851 5582.172593849525583 1.199531123483514 5584.033628202636464 1.190839500551194 5585.895283003928853 1.181372245056763 5587.757558460264590 1.171327248829019 5589.620454778556450 1.160495758905222 5591.483972165794512 1.150454003316290 5593.348110829028883 1.140231300160250 5595.212870975397891 1.128893408429322 5597.078252812091705 1.117821019517702 5598.944256546375073 1.104955344886714 5600.810882385575496 1.091708294100452 5602.678130537107791 1.078629799204049 5604.546001208438611 1.063068532017761 5606.414494607108281 1.047665500549043 5608.283610940721701 1.031506535496348 5610.153350416971080 1.014617772940987 5612.023713243597740 0.998644896954692 5613.894699628420312 0.980863153287678 5615.766309779326548 0.963438649319127 5617.638543904266953 0.947232828297262 5619.511402211279346 0.930930372025669 5621.384884908454296 0.916523598889407 5623.258992203955131 0.903448147184015 5625.133724306009753 0.889902415053531 5627.009081422935196 0.877953583540475 5628.885063763097605 0.866038461799357 5630.761671534939524 0.855134259213618 5632.638904946967159 0.846386953986052 5634.516764207773122 0.837817781166381 5636.395249526003681 0.830198536342590 5638.274361110377868 0.823094427370886 5640.154099169682013 0.816264365977676 5642.034463912787032 0.811045851049524 5643.915455548614773 0.806172769854528 5645.797074286166207 0.801995177254372 5647.679320334504155 0.798433837352561 5649.562193902777835 0.794879199795141 5651.445695200189220 0.791891749651395 5653.329824436017589 0.790391096263068 5655.214581819604973 0.790212647619053 5657.099967560378900 0.791599449965843 5658.985981867821465 0.795215135536039 5660.872624951491161 0.800236597375966 5662.759897021007419 0.806532195102802 5664.647798286079706 0.814172673335606 5666.536328956468424 0.822960841500682 5668.425489242010372 0.833475724368762 5670.315279352606922 0.844647500185092 5672.205699498246759 0.855262764942497 5674.096749888969498 0.867201440838115 5675.988430734892063 0.878129756985990 5677.880742246202317 0.888508056745064 5679.773684633150879 0.899149860374516 5681.667258106075678 0.909268460575174 5683.561462875368306 0.920340729101340 5685.456299151495841 0.931392607838518 5687.351767144990845 0.942125319761565 5689.247867066470462 0.953553298276796 5691.144599126608227 0.964320644529491 5693.041963536152252 0.974503482797010 5694.939960505914314 0.985379748553981 5696.838590246794411 0.995621987111272 5698.737852969746200 1.006317086065094 5700.637748885797919 1.016705744298936 5702.538278206045106 1.026341284093772 5704.439441141667885 1.036757960520786 5706.341237903900947 1.046214229102030 5708.243668704055381 1.055549772815200 5710.146733753505941 1.064964675536672 5712.050433263717423 1.073302775072002 5713.954767446203732 1.082056723380836 5715.859736512559721 1.090215695132931 5717.765340674442086 1.098287656331503 5719.671580143596657 1.106510102863565 5721.578455131821102 1.113799002154787 5723.485965850990397 1.121697091420580 5725.394112513045002 1.129781204728902 5727.302895330012689 1.137991410994808 5729.212314513975798 1.147216408727518 5731.122370277089431 1.156377743454271 5733.033062831578718 1.165226394329518 5734.944392389752466 1.174179565576633 5736.856359163976776 1.182798798173389 5738.768963366690514 1.192056698643371 5740.682205210406210 1.201012067848588 5742.596084907700060 1.209078869008107 5744.510602671238303 1.217242968106681 5746.425758713737196 1.223572378181712 5748.341553247993033 1.227624294533536 5750.257986486866685 1.230251562756537 5752.175058643305420 1.230280099481654 5754.092769930312897 1.225519796093094 5756.011120560966447 1.216935740502449 5757.930110748412517 1.198469801841800 5759.849740705882141 1.171664921339820 5761.770010646661831 1.140797682792865 5763.690920784115406 1.103919292996036 5765.612471331671259 1.066145512408662 5767.534662502846913 1.037303776600138 5769.457494511213554 1.018275403964646 5771.380967570418761 1.008144771033243 5773.305081894175601 1.011809568446526 5775.229837696287177 1.030205702236869 5777.155235190608437 1.060597889956281 5779.081274591073452 1.099037165641398 5781.007956111679960 1.143479022855908 5782.935279966514827 1.193025846407609 5784.863246369721310 1.238562763989252 5786.791855535515424 1.274196567093177 5788.721107678184126 1.304070437175731 5790.651003012097135 1.326194755544408 5792.581541751684199 1.336887649579182 5794.512724111447824 1.345674045737146 5796.444550305965095 1.350726373305627 5798.377020549875851 1.353190583151767 5800.310135057912703 1.354859431681069 5802.243894044860099 1.355769633213852 5804.178297725578886 1.355974307084942 5806.113346314996306 1.355967672008588 5808.049040028132367 1.355558977402234 5809.985379080056191 1.354693408266312 5811.922363685916935 1.352829962219606 5813.859994060929239 1.350178060089829 5815.798270420396875 1.347535910254195 5817.737192979679094 1.344767081339354 5819.676761954210633 1.341667509693093 5821.616977559493534 1.338894518852950 5823.557840011118969 1.335413142751811 5825.499349524732679 1.331710920161096 5827.441506316057712 1.327822940896661 5829.384310600884419 1.323494663097017 5831.327762595090462 1.319316373316631 5833.271862514608074 1.314637010837013 5835.216610575451341 1.309694602123375 5837.162006993696195 1.304878345419403 5839.108051985507700 1.299762356672307 5841.054745767110035 1.295078892582480 5843.002088554800139 1.289845462127845 5844.950080564945893 1.283641206331418 5846.898722014000668 1.277104085971587 5848.848013118475137 1.268992385823259 5850.797954094957277 1.260412363005955 5852.748545160100548 1.250892121083542 5854.699786530650272 1.239311516911130 5856.651678423404519 1.227547595445510 5858.604221055240487 1.214156473546638 5860.557414643106313 1.200676103146911 5862.511259404018347 1.187634216574145 5864.465755555082069 1.173157253134466 5866.420903313458439 1.159614069801185 5868.376702896385723 1.144795946753529 5870.333154521169490 1.129724459024685 5872.290258405203531 1.115395423673289 5874.248014765938933 1.098761572802408 5876.206423820905002 1.082671071392136 5878.165485787696525 1.065284548156498 5880.125200883996513 1.046974535504791 5882.085569327548910 1.029652880793547 5884.046591336169513 1.010765854931884 5886.008267127745967 0.993197233496929 5887.970596920252319 0.975649711882701 5889.933580931719916 0.957770942432662 5891.897219380258321 0.941892385041553 5893.861512484043487 0.924114867881310 5895.826460461341412 0.907450107619042 5897.792063530474479 0.891056340508509 5899.758321909843289 0.873815889321239 5901.725235817914836 0.858215817110754 5903.692805473247063 0.840878011184330 5905.661031094452483 0.824194703517452 5907.629912900221825 0.807820847420495 5909.599451109315851 0.790679546130530 5911.569645940582632 0.776007568449391 5913.540497612928448 0.759778911094341 5915.512006345334157 0.744146577498072 5917.484172356858835 0.729447727046794 5919.456995866625221 0.714253439204019 5921.430477093847003 0.701162853689495 5923.404616257794260 0.686775582805420 5925.379413577817104 0.672526386120022 5927.354869273329314 0.659010049316127 5929.330983563839254 0.644946136437303 5931.307756668909860 0.632966315669271 5933.285188808181374 0.620807634905219 5935.263280201363159 0.608704158362767 5937.242031068253709 0.597134191878648 5939.221441628709727 0.584998001083182 5941.201512102666129 0.574692161123403 5943.182242710123319 0.564441000364748 5945.163633671176285 0.554179708221542 5947.145685205970949 0.544660895631382 5949.128397534737815 0.534735151969819 5951.111770877771050 0.525847607131733 5953.095805455456684 0.516661380520857 5955.080501488238951 0.507250017043187 5957.065859196638485 0.498566282706922 5959.051878801244129 0.489617921667142 5961.038560522737498 0.481634066393529 5963.025904581854775 0.473654270606134 5965.013911199412178 0.465472991324834 5967.002580596294138 0.457860743352291 5968.991912993473306 0.449887590255685 5970.981908611984181 0.442846428171858 5972.972567672934019 0.436553051905565 5974.963890397502837 0.430451461575891 5976.955877006960691 0.424832742516483 5978.948527722634026 0.418928605081839 5980.941842765925685 0.413702814057176 5982.935822358318546 0.409072702143716 5984.930466721358243 0.404716108830470 5986.925776076684997 0.401214937676237 5988.921750645991779 0.398268130529575 5990.918390651056143 0.395658634309581 5992.915696313718399 0.393409359483637 5994.913667855915264 0.391425738942157 5996.912305499636204 0.390048648902378 5998.911609466953450 0.389314687634223 6000.911579980005627 0.388966533677748 6002.912217261022306 0.389483303918032 6004.913521532293089 0.390417209173569 6006.915493016182154 0.392072125403056 6008.918131935126439 0.394463931957872 6010.921438511652923 0.397273747306116 6012.925412968345881 0.400979296162705 6014.930055527868717 0.405162739813997 6016.935366412952135 0.410367051355961 6018.941345846424156 0.416703862603250 6020.947994051161004 0.423528706234310 6022.955311250127124 0.431233175562528 6024.963297666348808 0.439299800971465 6026.971953522950571 0.447763923703046 6028.981279043107861 0.456673695097725 6030.991274450080709 0.465899936159032 6033.001939967194630 0.475815026332582 6035.013275817869726 0.486028265635999 6037.025282225582487 0.496682815507928 6039.037959413888530 0.507856344719093 6041.051307606411683 0.519248255955092 6043.065327026870364 0.531047900877963 6045.080017899037557 0.543017701995059 6047.095380446769923 0.555199466106384 6049.111414893994151 0.567679812484702 6051.128121464709693 0.580435209964668 6053.145500383006947 0.593829920364229 6055.163551873030883 0.607400114944187 6057.182276159012872 0.620984893713677 6059.201673465247950 0.634599722986884 6061.221744016124831 0.648233916728968 6063.242488036091345 0.661986445183516 6065.263905749673540 0.675843267563128 6067.285997381467496 0.690076823493153 6069.308763156162968 0.704804463641126 6071.332203298504282 0.719386955593643 6073.356318033319440 0.733802966299161 6075.381107585502832 0.748296164847372 6077.406572180045259 0.763010944339441 6079.432712041989362 0.777987479229776 6081.459527396464182 0.793685716689681 6083.487018468663337 0.810558736878213 6085.515185483877758 0.827766410797535 6087.544028667452039 0.845289267549165 6089.573548244813537 0.863161128718733 6091.603744441458730 0.881165972652925 6093.634617482976864 0.899431417722673 6095.666167595013576 0.917695822426368 6097.698395003298174 0.935774996715033 6099.731299933626360 0.953728499917054 6101.764882611889334 0.970677073742349 6103.799143264033773 0.986609701352653 6105.834082116090940 1.002085964636786 6107.869699394162126 1.016938031667302 6109.905995324423202 1.031472868851238 6111.942970133139170 1.045180599654479 6113.980624046636876 1.058260722437006 6116.018957291322295 1.071142284166393 6118.057970093667791 1.083861152289552 6120.097662680245776 1.096531901468315 6122.138035277681411 1.109072268469204 6124.179088112682621 1.121529401300150 6126.220821412027362 1.133603553944049 6128.263235402586361 1.144869175900505 6130.306330311289457 1.155796976222624 6132.350106365146530 1.165900143811358 6134.394563791237488 1.175369380284023 6136.439702816736826 1.183220094958198 6138.485523668876340 1.187724218989153 6140.532026574970587 1.191016310456720 6142.579211762399609 1.192830135472621 6144.627079458642584 1.193761916586888 6146.675629891235076 1.194374011092648 6148.724863287791777 1.194707566162227 6150.774779876000139 1.194563817619639 6152.825379883641290 1.193045753490017 6154.876663538552748 1.191181223212015 6156.928631068656614 1.191632333523530 6158.981282701940472 1.195704232717316 6161.034618666491042 1.201505970632868 6163.088639190449612 1.210847531739764 6165.143344502042055 1.221912350093298 6167.198734829560635 1.234229315096680 6169.254810401396753 1.248042286597970 6171.311571445995469 1.262519061757961 6173.369018191886425 1.278054778360526 6175.427150867673845 1.293620609706773 6177.485969702034708 1.307470904663282 6179.545474923737856 1.319776857729729 6181.605666761610337 1.329761745747811 6183.666545444564690 1.336688190484119 6185.728111201578940 1.342236865151741 6187.790364261729337 1.345787798024150 6189.853304854148519 1.348218483820517 6191.916933208052797 1.350897063687931 6193.981249552727604 1.353907359576062 6196.046254117553872 1.357086977281358 6198.111947131969828 1.360761894942805 6200.178328825497374 1.364597126054444 6202.245399427729353 1.368239954262132 6204.313159168350467 1.371688210699435 6206.381608277107262 1.374828290288042 6208.450746983827230 1.377126246247094 6210.520575518407895 1.379021511851647 6212.591094110843187 1.380121111265014 6214.662302991183424 1.380618136726684 6216.734202389563507 1.380759135876549 6218.806792536189278 1.380323131016652 6220.880073661360257 1.379738573322930 6222.954045995434171 1.378951526600122 6225.028709768853332 1.378010567065349 6227.104065212129171 1.377385064423172 6229.180112555869528 1.377251286371716 6231.256852030739537 1.377127356284849 6233.334283867488921 1.377034873665876 6235.412408296935610 1.376934115616288 6237.491225549996670 1.376397470774939 6239.570735857645559 1.375485500256379 6241.650939450937585 1.375114863200838 6243.731836561006276 1.375573871309076 6245.813427419057916 1.376376024330777 6247.895712256391562 1.377768973083767 6249.978691304366293 1.379540071946021 6252.062364794424866 1.381565197413160 6254.146732958078246 1.383980272751439 6256.231796026937445 1.386630755219066 6258.317554232669863 1.389595006935735 6260.404007807026574 1.392463173379835 6262.491156981826862 1.394387742809436 6264.579001988991877 1.395217795976458 6266.667543060497337 1.395692597073268 6268.756780428401726 1.395752901382070 6270.846714324838103 1.395437744501461 6272.937344982033210 1.394211534280691 6275.028672632272901 1.392296167864780 6277.120697507927616 1.390405301088467 6279.213419841436917 1.388436588613601 6281.306839865339498 1.386643425272419 6283.400957812230445 1.385111475496865 6285.495773914790334 1.383611355429747 6287.591288405768864 1.381513815611766 6289.687501518014869 1.379056930846030 6291.784413484434481 1.376958033275848 6293.882024538017504 1.375813749845791 6295.980334911825594 1.374934215277435 6298.079344839016812 1.372833168466921 6300.179054552808338 1.370160809086972 6302.279464286501934 1.367273252799477 6304.380574273474849 1.363850547126405 6306.482384747179822 1.360246285682426 6308.584895941161449 1.356402124148429 6310.688108089027082 1.352099430586634 6312.792021424466839 1.346483865625023 6314.896636181241774 1.339469504749494 6317.001952593212991 1.332647867735008 6319.107970894295249 1.326059986208179 6321.214691318492441 1.319559306994588 6323.322114099877581 1.313037144142009 6325.430239472620997 1.306430012766392 6327.539067670953955 1.299903687277833 6329.648598929189575 1.293467344391248 6331.758833481713737 1.287400852172956 6333.869771563010545 1.282315152124461 6335.981413407621403 1.277662500330806 6338.093759250174116 1.273600908146330 6340.206809325366521 1.269942273203115 6342.320563867995588 1.266780588126357 6344.435023112914678 1.264250385065121 6346.550187295066280 1.262189881620424 6348.666056649461098 1.261160262255138 6350.782631411208058 1.260520042768310 6352.899911815476116 1.259908654551806 6355.017898097518810 1.259258521712282 6357.136590492661526 1.258249120104451 6359.255989236326968 1.256674655692301 6361.376094563997867 1.254932520029745 6363.496906711241536 1.253185837506819 6365.618425913697138 1.251420552119164 6367.740652407102061 1.249424184661103 6369.863586427252812 1.247233359855395 6371.987228210030480 1.245262856391377 6374.111577991396189 1.243933758564654 6376.236636007381094 1.242651209983376 6378.362402494116395 1.240920861641709 6380.488877687792410 1.238850662195990 6382.616061824683129 1.236894509484799 6384.743955141136212 1.235243347130708 6386.872557873597543 1.233395729680403 6389.001870258572126 1.231044406218274 6391.131892532649545 1.228397864108416 6393.262624932493054 1.224973671511774 6395.394067694864134 1.220979482616958 6397.526221056581562 1.217856083943563 6399.659085254553247 1.215774645121612 6401.792660525756219 1.213749419260978 6403.926947107267551 1.210731480233818 6406.061945236225256 1.207564383032143 6408.197655149849197 1.205267316652751 6410.334077085435638 1.203700736352493 6412.471211280376338 1.202455241358903 6414.609057972124901 1.201603848755413 6416.747617398219518 1.200700938895430 6418.886889796272953 1.199629768374084 6421.026875403993472 1.198503725451794 6423.167574459150273 1.197984438694792 6425.308987199600779 1.197972220642093 6427.451113863271530 1.197460056520730 6429.593954688190934 1.196133027755885 6431.737509912444693 1.194633887332339 6433.881779774206734 1.193623196003653 6436.026764511728288 1.192831817283482 6438.172464363335166 1.192472399395595 6440.318879567450495 1.192561412783041 6442.466010362559246 1.192503140344197 6444.613856987231884 1.191951693384231 6446.762419680110725 1.191416489981454 6448.911698679938127 1.191129375901679 6451.061694225516476 1.190960263335897 6453.212406555734560 1.190163334290127 6455.363835909553018 1.188743383578399 6457.515982526033440 1.186645664941467 6459.668846644295627 1.183348233997352 6461.822428503548508 1.179644400452483 6463.976728343070135 1.175615896653879 6466.131746402243152 1.171459938271098 6468.287482920503862 1.167597794128701 6470.443938137381338 1.164105482820244 6472.601112292473772 1.160800845898702 6474.759005625482132 1.157769284144684 6476.917618376162864 1.155018701170500 6479.076950784364271 1.153037807479764 6481.237003090004691 1.151494838239285 6483.397775533103413 1.149687319158082 6485.559268353737934 1.147553538614796 6487.721481792077611 1.145254096005188 6489.884416088358194 1.142817677547231 6492.048071482920932 1.140555567170365 6494.212448216165285 1.139110436757116 6496.377546528578023 1.137899308962436 6498.543366660716856 1.136011857494552 6500.709908853243178 1.133326526646511 6502.877173346878408 1.131008593891854 6505.045160382427639 1.129191157411827 6507.213870200778729 1.127415728968126 6509.383303042893203 1.125576649352595 6511.553459149832634 1.123655492250384 6513.724338762719526 1.121443873615276 6515.895942122760971 1.119118822987028 6518.068269471241365 1.117027655843152 6520.241321049541511 1.115337968016964 6522.415097099107697 1.113958908779967 6524.589597861468064 1.113182252881588 6526.764823578228970 1.112509944086938 6528.940774491094089 1.111231626603755 6531.117450841829850 1.109413037194972 6533.294852872289994 1.107932742048902 6535.472980824399201 1.106930224749507 6537.651834940187655 1.105914432195121 6539.831415461741926 1.104401891673267 6542.011722631237717 1.102844407537630 6544.192756690924398 1.101512988078426 6546.374517883154112 1.100381513705304 6548.557006450335393 1.099411100480881 6550.740222634969541 1.098470054261657 6552.924166679628797 1.097079654505131 6555.108838826986357 1.094982308891026 6557.294239319777262 1.092741446100558 6559.480368400823863 1.091337645413141 6561.667226313022184 1.090250369161765 6563.854813299371017 1.088815430678345 6566.043129602927365 1.087122551598204 6568.232175466838271 1.085591684729313 6570.421951134324445 1.084337241967573 6572.612456848707552 1.083186044186436 6574.803692853370194 1.082268026498812 6576.995659391783192 1.081487517475139 6579.188356707498315 1.081335064449746 6581.381785044142816 1.081658543391761 6583.575944645443087 1.081884114301344 6585.770835755188273 1.081985295333686 6587.966458617255739 1.082009984212777 6590.162813475595613 1.081996180831257 6592.359900574262610 1.081560459079128 6594.557720157368749 1.080085221549428 6596.756272469117903 1.078337933460525 6598.955557753786707 1.076416028537403 6601.155576255752749 1.073798104006979 6603.356328219455463 1.070604388847033 6605.557813889425233 1.067146057099617 6607.760033510262474 1.063441230822401 6609.962987326672192 1.059387935349635 6612.166675583421238 1.055056795118121 6614.371098525362868 1.050330359231015 6616.576256397426732 1.046220811215672 6618.782149444643437 1.042030051123443 6620.988777912106343 1.037567711285593 6623.196142044996122 1.032888538336645 6625.404242088567116 1.028337903594348 6627.613078288179167 1.023941364107687 6629.822650889252145 1.019525668047354 6632.032960137292321 1.015343894000852 6634.244006277883273 1.010966678225174 6636.455789556711352 1.007176500018855 6638.668310219522937 1.003145072854120 6640.881568512153535 0.998961360650494 6643.095564680520511 0.994491677333101 6645.310298970616714 0.989635698481611 6647.525771628537768 0.984703240669683 6649.741982900441144 0.979354368301945 6651.958933032570712 0.974129321716088 6654.176622271248561 0.968525370928623 6656.395050862898643 0.963227258122868 6658.614219054004934 0.958181660607513 6660.834127091142363 0.953612451738252 6663.054775220961346 0.949356773889564 6665.276163690213252 0.945455357234771 6667.498292745712206 0.942138948261419 6669.721162634361463 0.939105454770516 6671.944773603140675 0.936678412760102 6674.169125899130449 0.934123487740919 6676.394219769474148 0.932019419629253 6678.620055461404263 0.930101740674763 6680.846633222229684 0.928229063570424 6683.073953299362074 0.926647590414952 6685.302015940273122 0.925612761230628 6687.530821392526377 0.924858308211455 6689.760369903759965 0.924315341990077 6691.990661721714787 0.924074052968332 6694.221697094195406 0.925135000767076 6696.453476269092789 0.927182337407387 6698.685999494377029 0.929080886936702 6700.919267018118262 0.930767535719619 6703.153279088453019 0.932429802732026 6705.388035953602412 0.933732946133991 6707.623537861867590 0.934538941059836 6709.859785061650655 0.934813520038794 6712.096777801416465 0.934727142691794 6714.334516329719918 0.934117315953067 6716.573000895199584 0.932182113631591 6718.812231746567704 0.930068410833135 6721.052209132642020 0.928566834118839 6723.292933302302117 0.925136164136547 6725.534404504516715 0.918000619758789 6727.776622988332747 0.906488868713030 6730.019589002897192 0.884331159705097 6732.263302797424330 0.858697126347341 6734.507764621213937 0.837994696720997 6736.752974723644002 0.820603038934612 6738.998933354196197 0.808286449099563 6741.245640762414041 0.802107443841834 6743.493097197932912 0.796188632748596 6745.741302910461854 0.793379315077512 6747.990258149817237 0.793267311557709 6750.239963165873633 0.796923429291135 6752.490418208600204 0.810751335887895 6754.741623528039781 0.826259679687372 6756.993579374340698 0.837197798500123 6759.246285997713130 0.845103174682971 6761.499743648456388 0.846976333481282 6763.753952576949814 0.844657033139023 6766.008913033674617 0.842596363330542 6768.264625269173848 0.841205955033190 6770.521089534082421 0.841961276406033 6772.778306079112554 0.845378338766958 6775.036275155080148 0.849965860523625 6777.294997012862041 0.854358408534049 6779.554471903428748 0.859586229769104 6781.814700077825364 0.865798184658635 6784.075681787202484 0.872426808064473 6786.337417282774368 0.879163980765145 6788.599906815843497 0.885641787811630 6790.863150637797844 0.891267260021419 6793.127149000102690 0.895516348448291 6795.391902154326999 0.898746297921886 6797.657410352103398 0.900601556342121 6799.923673845153644 0.899785073044811 6802.190692885278622 0.896674481709073 6804.458467724383809 0.892864383487344 6806.726998614437434 0.888382960679070 6808.996285807497770 0.884124300119348 6811.266329555700395 0.880431062967726 6813.537130111288207 0.876689019665714 6815.808687726563221 0.873286688526494 6818.081002653921132 0.870059696823194 6820.354075145835850 0.868760314987551 6822.627905454883148 0.870376692726903 6824.902493833705194 0.873298137357090 6827.177840535034193 0.877237130552105 6829.453945811677841 0.881350136730853 6831.730809916552971 0.884552686242667 6834.008433102634626 0.888003559784485 6836.286815622994254 0.893339224318292 6838.565957730778791 0.898842580126599 6840.845859679238856 0.904079186925038 6843.126521721689642 0.907492892315082 6845.407944111539109 0.909436342696463 6847.690127102271617 0.909861108307080 6849.973070947477026 0.908260228795831 6852.256775900807042 0.905635476538898 6854.541242216009778 0.902871712560689 6856.826470146912470 0.898606250676170 6859.112459947422394 0.893493619333517 6861.399211871554144 0.889819266441014 6863.686726173382340 0.886337071336838 6865.975003107076191 0.884135346638536 6868.264042926882212 0.883699272193013 6870.553845887150601 0.883856165886925 6872.844412242298858 0.885443828775866 6875.135742246831796 0.887601043921936 6877.427836155337900 0.889066991380155 6879.720694222505699 0.890074422009650 6882.014316703091026 0.890088753308503 6884.308703851940663 0.888372998588380 6886.603855923980518 0.884712374640317 6888.899773174239272 0.880982406986456 6891.196455857814726 0.877674778684682 6893.493904229891086 0.874512867290194 6895.792118545735320 0.872632614430169 6898.091099060718079 0.871275535979503 6900.390846030274588 0.870791856795887 6902.691359709931930 0.871083338896236 6904.992640355296317 0.871618170711366 6907.294688222078548 0.873260463844107 6909.597503566055821 0.875547756261661 6911.901086643096278 0.876445765136572 6914.205437709146281 0.875970473067433 6916.510557020259512 0.872940673663590 6918.816444832552406 0.868449138862125 6921.123101402235079 0.864120437877112 6923.430526985595861 0.859249317634003 6925.738721839029495 0.854336184619019 6928.047686218995295 0.850107418699215 6930.357420382044438 0.846666988753375 6932.667924584813591 0.844624007126965 6934.979199084018546 0.843032891050551 6937.291244136482419 0.842485757175207 6939.604059999091987 0.843307862261370 6941.917646928825889 0.844143337945670 6944.232005182743706 0.844613908772176 6946.547135018008703 0.844260181407515 6948.863036691852358 0.843603638969392 6951.179710461595278 0.842337953338650 6953.497156584639924 0.839842440269838 6955.815375318494262 0.836848008635220 6958.134366920729917 0.834319139106648 6960.454131649014016 0.831984684902989 6962.774669761090991 0.830089372401490 6965.095981514810774 0.828436729192931 6967.418067168092421 0.827241564441801 6969.740926978944117 0.827030353955998 6972.064561205454083 0.827546452034100 6974.388970105818771 0.828192371065691 6976.714153938299205 0.829055440060946 6979.040112961247360 0.830054679943021 6981.366847433097064 0.830848354139178 6983.694357612388558 0.832170961071785 6986.022643757727565 0.833217010909705 6988.351706127810758 0.919335930964691 6990.681544981417574 0.920484953205739 6993.012160577432951 0.922132548155462 6995.343553174806402 0.923119985498542 6997.675723032582027 0.924628100369107 7000.008670409889419 0.926098794366500 7002.342395565938205 0.927692820225875 7004.676898760044423 0.929556263299038 7007.012180251592326 0.931880371263294 7009.348240300056204 0.935008250814617 7011.685079164990384 0.939614854861730 7014.022697106059240 0.943584119882548 7016.361094382990814 0.946723882868431 7018.700271255606822 0.949604376902137 7021.040227983808109 0.951065161418752 7023.380964827604657 0.952281148521778 7025.722482047071935 0.952510024430490 7028.064779902377268 0.950091943667652 7030.407858653768926 0.947467149008424 7032.751718561604321 0.943000322066028 7035.096359886304526 0.936686931372236 7037.441782888385205 0.932579181659351 7039.787987828442056 0.929125053302948 7042.134974967178096 0.922921059156937 7044.482744565363646 0.917080014161248 7046.831296883860887 0.910883438668294 7049.180632183613852 0.905482830387799 7051.530750725672988 0.902911295882315 7053.881652771156951 0.902350203125291 7056.233338581275348 0.902900284993024 7058.585808417321459 0.904486707086251 7060.939062540693158 0.904089772227310 7063.293101212857437 0.906597617805317 7065.647924695373149 0.911699529019503 7068.003533249881002 0.917313141258999 7070.359927138128114 0.925493497433798 7072.717106621930725 0.934087885333985 7075.075071963197843 0.940376291289796 7077.433823423923968 0.947088818502984 7079.793361266185457 0.952007706489726 7082.153685752168712 0.956341339358358 7084.514797144123804 0.961987351106001 7086.876695704398117 0.966947001404149 7089.239381695415432 0.970791225837504 7091.602855379712310 0.972730681226607 7093.967117019889884 0.970426680843514 7096.332166878642965 0.967905492836654 7098.698005218747312 0.967718946761498 7101.064632303089638 0.966920202373642 7103.432048394620324 0.968291180948573 7105.800253756386155 0.970004831245174 7108.169248651513044 0.969936202697742 7110.539033343238771 0.971111010271593 7112.909608094863870 0.972900803833102 7115.280973169785284 0.975981252598220 7117.653128831482718 0.982373395266070 7120.026075343541379 0.986718037588747 7122.399812969616505 0.990385557947579 7124.774341973456103 0.993012073852582 7127.149662618889124 0.994036346426855 7129.525775169854569 0.996152782458758 7131.902679890357831 0.997213413163605 7134.280377044499801 0.994930761847585 7136.658866896461404 0.994521560185229 7139.038149710533617 0.994144085582455 7141.418225751074715 0.992565859593837 7143.799095282536655 0.994559939530518 7146.180758569454156 0.997336531931810 7148.563215876471077 0.997609219884721 7150.946467468295850 0.998719690997873 7153.330513609736045 1.001184949778361 7155.715354565685629 1.005791880169440 7158.100990601118610 1.012478608475700 7160.487421981120860 1.017554552998970 7162.874648970843737 1.023056386140498