SN 1998aq Ia in NGC 3982


Geoffrey Chaucer with an astrolabe.

OBJECT:  SN 1998aq Ia in NGC 3982 (SABb galaxy) which in Leda is
         NGC 3982.
DISCOVERY:  1998apr13 UT by Hurst et al.
MAXIMUM:  1998apr27.35 (JD 2450930.85 +/- 0.10) in B (riess2005, p. 602).
          See the US Navy Observatory Julian Date Converter.
          This day of the year 117.
SUPERNOVA of the YEAR:  M = 43.

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


COMMENTS:  This is a core normal (CN) SN Ia.


REFERENCES:

       branch2003b Specifically on SN 1998aq.

       CfA List of Supernovae
       where SN 1998aq is noted.

       CfA Supernova Archive
       This has 29 SN 1998aq spectra and riess2005 photometry.
       These must be the ones reported in branch2003b and they must
       be the same ones as on SUSPECT, but with different wavelengths.  Which is better?
       Probably both sets are equally good.  The finer wavelengths on SUSPECT may have no
       extra information in them.  But I wish someone would give a definitive good representation.

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

       riess2005 On SN 1998aq photometry.

       SUSPECT Index.

       SUSPECT Index:  SN 1998aq Ia.
       There are 11 SN 1998aq spectra.

CORRECTIONS:  Heliocentric velocity 1146 +/- 26 km/s (2007jul11) from
              Leda.
              Galactic foreground reddening 0.06/4=.015 reddening from
              Leda.
              This dervied derived from
              Schlegel et al. (1998)

OBSERVATIONS:  From (1)
               1) SUSPECT:  but these spectra are probably all in the CfA supernova archive.
               2) CfA supernova archive.
               3) David Branch /home/branch/synow/98aq:  These seem to be all CfA supernova
                  archive spectra
               4) Eddie Baron:  no 98aq spectra.

SPECTRUM LOG:

     JD times for the SN 1998aq spectra of branch2003b.
     Bmax from riess2005 1998apr27.35 (JD 2450930.85 +/- 0.10).

     The branch2003b spectra from SUSPECT all not deredshifted?

     JD Bmax   Heliocentric velocity (Leda, 2007jul01)
     0930.85   1146


     Heliocentric velocity     Z redshift
           1146.0000000000   0.0038226445

     Index     JD of some kind Observer phase     Rest phase

         1      921.7800000000  -9.0700000000  -9.0354606458     ! branch2003b  1998apr18.28  3720--7418.25
         2      922.7600000000  -8.0900000000  -8.0591925716     ! branch2003b  1998apr19.26  3499.5--7139.25
         3      930.7900000000  -0.0600000000  -0.0597715147     ! branch2003b  1998apr27.29  3720--7499.25
         4      937.7600000000   6.9100000000   6.8836861149     ! branch2003b  1998may04.26  3720--7511.25
         5      951.7000000000  20.8500000000  20.7706013743     ! branch2003b  1998may18.20  3720--7539.75
         6     1021.6700000000  90.8200000000  90.4741494873     ! branch2003b  1998jul27.17  3720--7539.75


&specnamelist
   aname='sn1998aq Ia 1998_04_18'
   ebv=.015         !
   epoch=-9.0354606458     ! This parameter needs to updated for the particular spectrum.
   idifmake=0
   iformat=1
   ismooth=1        ! Smoothing helps get rid of the fuzz without any degradation.
   itick=2
   itickln=4
   t_rise=19.4d0    ! \citep{conley2006}, Just an average rise time.
   v_helio=1146.
   ymin2=6.d-0
   ymax2=55.d-0
   ymin3=.68
   ymax3=1.35
   wlammin1=3720
   wlammax1=7418.25
   wlammin2=3720
   wlammax2=7418.25
   wlammin3=3800.
   wlammax3=7000.
/


./figure/sn1998aq_1998_04_18.gif Postscript plot of the spectrum.
./figure/sn1998aq_1998_04_18.dif.gif Postscript plot of the spectrum with local normalization.
FITS: Fits format information from the observers. SIMPLE = T BITPIX = -32 NAXIS = 1 NAXIS1 = 4932 CRVAL1 = 3720. CDELT1 = 0.75 CTYPE1 = 'LINEAR ' OBJECT = '1998aq ' SNTYPE = 'Ia ' TYPECITE= 'NED ' MAXDATE = ' ' MAXBAND = ' ' MAXCITE = ' ' DATE-OBS= '19980418' UT = '06:43:12' BUNIT = 'flambda ' HOSTGAL = 'NGC3982 ' OBSERVER= 'P. Berlind, M. Calk' OBSAFFIL= ' ' TELESCOP= 'FLWO ' INSTRUME= 'Loral CCD (2688x512)' COMMENT = 'Resolution: 7.0A' COMMENT = 'Air Mass: 1.12' COMMENT = 'Sky: Clear' COMMENT = 'Seeing: 1-2arcsec' COMMENT = 'Slit: 3arcsec' COMMENT = 'Exposure: 900s' END END: 3705.845314126296216 0.910173853108722 3707.080801800845165 0.910990913544381 3708.316701373265005 0.912328691156234 3709.553012980877611 0.913273791059008 3710.789736761047152 0.913083689254289 3712.026872851195094 0.913081788969352 3713.264421388777009 0.914127810535176 3714.502382511298947 0.916276205055963 3715.740756356307429 0.920300441275576 3716.979543061407639 0.926069246719933 3718.218742764238868 0.932560232653277 3719.458355602489519 0.937811864866519 3720.698381713891195 0.942072100643333 3721.938821236231433 0.947478245514888 3723.179674307333698 0.953360982011519 3724.420941065070110 0.958958117532626 3725.662621647355536 0.964540290596625 3726.904716192162141 0.970344796461816 3728.147224837496651 0.975144228894292 3729.390147721415815 0.978079932468903 3730.633484982021400 0.980204930843850 3731.877236757458832 0.982189602014482 3733.121403185930376 0.984801758048984 3734.365984405672407 0.987161828359439 3735.610980554972684 0.988860773553158 3736.856391772159441 0.989751421665914 3738.102218195619571 0.991344447688647 3739.348459963774076 0.992679173832126 3740.595117215095343 0.992708026827933 3741.842190088095776 0.991691125390248 3743.089678721347354 0.990257444432413 3744.337583253456160 0.988381189955216 3745.585903823078297 0.985844345298181 3746.834640568911254 0.982514894274906 3748.083793629712545 0.978845161463132 3749.333363144272425 0.974004933717418 3750.583349251432082 0.968638512922836 3751.833752090074995 0.962476001750482 3753.084571799142395 0.955875608249463 3754.335808517610531 0.949030857555328 3755.587462384505670 0.941836181174008 3756.839533538896831 0.933119130349476 3758.092022119910325 0.923401895044213 3759.344928266707939 0.914323982923686 3760.598252118501932 0.906314164240125 3761.851993814545494 0.898240695746947 3763.106153494152295 0.888571944512398 3764.360731296668291 0.878180589176781 3765.615727361492191 0.868830183834988 3766.871141828063173 0.860584403709101 3768.126974835879992 0.852830564503958 3769.383226524475504 0.845485534300123 3770.639897033433954 0.839186321153386 3771.896986502384152 0.833006154356140 3773.154495070999928 0.826490732508199 3774.412422879011956 0.820247546125167 3775.670770066185469 0.815543296078194 3776.929536772337542 0.812449454449124 3778.188723137327088 0.809467499415104 3779.448329301071681 0.807315814635349 3780.708355403523001 0.807130725365398 3781.968801584684570 0.807282099481647 3783.229667984601747 0.807005169750213 3784.490954743379007 0.807240894170907 3785.752662001154931 0.754531457426148 3787.014789898119034 0.752230134583196 3788.277338574504938 0.750454249821183 3789.540308170602202 0.748408471752727 3790.803698826738128 0.746339706060497 3792.067510683288674 0.743314981374813 3793.331743880673912 0.738507180276468 3794.596398559371664 0.732459198387598 3795.861474859895679 0.725722475093936 3797.126972922809273 0.719616526154283 3798.392892888720326 0.714383049009393 3799.659234898293562 0.710312118746386 3800.925999092230086 0.706820259909390 3802.193185611281933 0.703415102081963 3803.460794596243431 0.699351563134037 3804.728826187967115 0.696400460684768 3805.997280527342355 0.694776035094262 3807.266157755308086 0.694408172090404 3808.535458012850995 0.694478998697151 3809.805181441000514 0.695488571668957 3811.075328180844281 0.697601311122955 3812.345898373506316 0.699920872349689 3813.616892160161115 0.702701704915127 3814.888309682026375 0.706993895012071 3816.160151080378000 0.711894821389037 3817.432416496528276 0.716930297579226 3818.705106071839509 0.722331848130126 3819.978219947718571 0.728060875599028 3821.251758265629633 0.731246874796207 3822.525721167073243 0.732930023340156 3823.800108793601339 0.734323415607726 3825.074921286807694 0.736492487507932 3826.350158788347017 0.738857841480872 3827.625821439907668 0.741419820394752 3828.901909383230304 0.744532879463856 3830.178422760098329 0.748134798622662 3831.455361712354261 0.751773667398428 3832.732726381877001 0.756380845910029 3834.010516910595015 0.761771012334451 3835.288733440482247 0.766943430241231 3836.567376113569480 0.772058748568931 3837.846445071924791 0.776922375610778 3839.125940457666729 0.782232523536428 3840.405862412957504 0.787810501883552 3841.686211080018893 0.793343243933164 3842.966986601107692 0.799204324288010 3844.248189118532537 0.806278879274388 3845.529818774644809 0.814194927568374 3846.811875711855919 0.823115682009946 3848.094360072612744 0.831910195159664 3849.377271999413551 0.839821064915609 3850.660611634803900 0.846335338355284 3851.944379121373458 0.852143084259647 3853.228574601771015 0.858186665454515 3854.513198218680827 0.864644454192950 3855.798250114838538 0.870384667741003 3857.083730433024357 0.875075973168203 3858.369639316077155 0.879365380115994 3859.655976906871274 0.884208044241886 3860.942743348333806 0.889798340194467 3862.229938783434136 0.895643515886916 3863.517563355202583 0.901270896950746 3864.805617206704028 0.906394307108146 3866.094100481055648 0.910983250394837 3867.383013321418730 0.915175560492538 3868.672355871013679 0.919834342425436 3869.962128273095914 0.925194892317069 3871.252330670974516 0.930489080543846 3872.542963208001311 0.935478406492607 3873.834026027587242 0.940715254102995 3875.125519273180089 0.947821637128947 3876.417443088279015 0.956518935402205 3877.709797616427295 0.966571114368747 3879.002583001227322 0.976898683601273 3880.295799386318777 0.986525632135521 3881.589446915391818 0.996038367927063 3882.883525732181170 1.006142623988915 3884.178035980481582 1.015607163355648 3885.472977804122820 1.024321922429885 3886.768351346988311 1.031740287468220 3888.064156753007865 1.038904374700855 3889.360394166155857 1.045844449595250 3890.657063730466689 1.051813558260982 3891.954165590010689 1.057461856397561 3893.251699888910480 1.062679378828031 3894.549666771332795 1.067053857705639 3895.848066381503486 1.072196934464520 3897.146898863686147 1.079410497614880 3898.446164362194395 1.088141110524500 3899.745863021387777 1.096022388986411 3901.045994985684956 1.102806745895182 3902.346560399540977 1.110459771630690 3903.647559407463632 1.118180468158705 3904.948992154003918 1.124902919772927 3906.250858783773310 1.131359931513773 3907.553159441420121 1.137471794257093 3908.855894271644502 1.141741605837076 3910.159063419190261 1.143435426622533 3911.462667028862143 1.143194591293785 3912.766705245500816 1.142289201234423 3914.071178214000156 1.141115037923822 3915.376086079296783 1.140394750648706 3916.681428986388710 1.141374548204823 3917.987207080310327 1.143996678813585 3919.293420506147868 1.147963530023741 3920.600069409032130 1.153239168687713 3921.907153934154394 1.159564237501730 3923.214674226741863 1.166739169235102 3924.522630432075402 1.172955965501078 3925.831022695479078 1.176084849328270 3927.139851162337436 1.176432419009134 3928.449115978072314 1.174662203445728 3929.758817288157388 1.171104293771061 3931.068955238115450 1.166952507121512 3932.379529973512490 1.163313914373482 3933.690541639976800 1.160406240596411 3935.001990383171687 1.158697453200956 3936.313876348814574 1.158909013318598 3937.626199682665629 1.160876060655598 3938.938960530546865 1.163986232822582 3940.252159038316677 1.167926390784467 3941.565795351886209 1.171928849127496 3942.879869617210261 1.174074098033651 3944.194381980306389 1.172187335712388 3945.509332587226254 1.166448660449809 3946.824721584076542 1.159229929089303 3948.140549117006685 1.151175717684559 3949.456815332227961 1.143090255874506 3950.773520375988937 1.135290887110227 3952.090664394589112 1.127282655051398 3953.408247534374368 1.118920718715784 3954.726269941750616 1.110871453739967 3956.044731763161053 1.104692338644691 3957.363633145101630 1.100236475920843 3958.682974234111953 1.095358751672589 3960.002755176794835 1.089642925113918 3961.322976119787654 1.084417714502095 3962.643637209781900 1.078901223204405 3963.964738593513630 1.071837865125935 3965.286280417779835 1.064919429933233 3966.608262829414798 1.060108226925506 3967.930685975305096 1.057141661211666 3969.253550002383236 1.056145717283383 3970.576855057641296 1.057300469144380 3971.900601288109556 1.059181031567418 3973.224788840871042 1.060398891563026 3974.549417863057442 1.062637115796181 3975.874488501846372 1.067818210308732 3977.200000904475019 1.074413172886680 3978.525955218219224 1.079554376115897 3979.852351590406670 1.081077374527720 3981.179190168411424 1.080309806216402 3982.506471099667124 1.079642798252562 3983.834194531646517 1.080375612983303 3985.162360611873282 1.082202688383380 3986.490969487918392 1.084425039935609 3987.820021307412389 1.086149406305394 3989.149516218024473 1.086099426591396 3990.479454367475228 1.085353931984591 3991.809835903532530 1.087542570002735 3993.140660974023831 1.091632744789516 3994.471929726815233 1.094916694324663 3995.803642309824681 1.097445872632050 3997.135798871016959 1.100496649716308 3998.468399558417332 1.104130381957404 3999.801444520088353 1.108267022642614 4001.134933904146237 1.113444925261041 4002.468867858752674 1.119391575646150 4003.803246532129833 1.125383884494917 4005.138070072538994 1.130830000560330 4006.473338628293277 1.136045178197084 4007.809052347751731 1.140543372115525 4009.145211379335251 1.143971585948537 4010.481815871502022 1.147124852232793 4011.818865972763888 1.150581165672030 4013.156361831681352 1.153992626971396 4014.494303596861300 1.156863319699781 4015.832691416972011 1.158591233957726 4017.171525440719506 1.160661288735366 4018.510805816862558 1.163412113672825 4019.850532694206322 1.167336106912260 4021.190706221617802 1.171837568818602 4022.531326548000379 1.175294888981097 4023.872393822312461 1.178034315233700 4025.213908193557472 1.181870706056345 4026.555869810800232 1.187371189759448 4027.898278823143755 1.193901558384155 4029.241135379744719 1.199973806466786 4030.584439629805274 1.204867244853170 4031.928191722589418 1.208447128327909 4033.272391807399345 1.211459739480651 4034.617040033590001 1.216603729148914 4035.962136550562718 1.220121358014817 4037.307681507781581 1.223804029517336 4038.653675054746600 1.226584201520654 4040.000117341013265 1.228981132050700 4041.347008516181631 1.230790446778391 4042.694348729914964 1.232742207748759 4044.042138131913362 1.235551465167268 4045.390376871931494 1.238906139326407 4046.739065099769050 1.242007227990346 4048.088202965288929 1.243426879283056 4049.437790618390864 1.245124477337851 4050.787828209029612 1.248820423828687 4052.138315887204499 1.253219992411551 4053.489253802978510 1.256602745855461 4054.840642106451469 1.259501661489786 4056.192480947778222 1.262483145619686 4057.544770477161819 1.265345260200856 4058.897510844853969 1.268214513774987 4060.250702201166405 1.271433551038389 4061.604344696449971 1.275172361001455 4062.958438481109170 1.278327788064347 4064.312983705594888 1.279422521996763 4065.667980520420770 1.279794834722593 4067.023429076137290 1.280821639456240 4068.379329523350407 1.281995709899824 4069.735682012711095 1.282515603596953 4071.092486694933541 1.282249920085313 4072.449743720770130 1.280992988282059 4073.807453241026906 1.278637113590597 4075.165615406555844 1.275310245719977 4076.524230368273038 1.270975588937038 4077.883298277130962 1.266703745493948 4079.242819284137113 1.262089762281345 4080.602793540345829 1.256741673825438 4081.963221196873292 1.250725697398653 4083.324102404873884 1.244434257759127 4084.685437315556555 1.238203878486069 4086.047226080177097 1.231810270458427 4087.409468850052690 1.225305949481456 4088.772165776540987 1.219751509735461 4090.135317011051484 1.215691873429851 4091.498922705041423 1.212292680580528 4092.862983010031712 1.209043676165335 4094.227498077579185 1.205894680579839 4095.592468059297971 1.203453944514924 4096.957893106846313 1.201696376405862 4098.323773371947027 1.200373482140481 4099.690109006359307 1.199651125605508 4101.056900161899648 1.198945781263649 4102.424146990432746 1.197228656020054 4103.791849643871501 1.194725949845509 4105.160008274190659 1.191401355017812 4106.528623033404074 1.186959724235182 4107.897694073580169 1.183040188695713 4109.267221546832843 1.180112476181388 4110.637205605340569 1.176724630851003 4112.007646401320017 1.171425176572303 4113.378544087042428 1.165132460969864 4114.749898814825428 1.160104259114572 4116.121710737049398 1.156671178656911 4117.493980006134734 1.154169930969665 4118.866706774555496 1.152442280535205 4120.239891194832126 1.150955426271179 4121.613533419550549 1.149422659053828 4122.987633601332163 1.148415674701444 4124.362191892854753 1.148295926094552 4125.737208446842487 1.150011713718931 4127.112683416085019 1.153207584799819 4128.488616953407472 1.155693793816092 4129.865009211691358 1.157926962107499 4131.241860343865483 1.159861940024007 4132.619170502922316 1.162440436479529 4133.996939841889798 1.165800694413673 4135.375168513855897 1.168393980856228 4136.753856671951326 1.169635207057774 4138.133004469372281 1.169917103703070 4139.512612059354069 1.168777001961660 4140.892679595185655 1.166457718648731 4142.273207230208754 1.164460040968730 4143.654195117809650 1.162544638116657 4145.035643411441015 1.160477985132298 4146.417552264592814 1.157130646892891 4147.799921830809581 1.153628144368551 4149.182752263684961 1.150498882904267 4150.566043716874447 1.147092341998646 4151.949796344072638 1.143255651264125 4153.334010299031434 1.139665763997102 4154.718685735546387 1.136153091779952 4156.103822807478537 1.131548659990685 4157.489421668729847 1.125324064323338 4158.875482473254124 1.118139843393235 4160.262005375053377 1.110764644414463 4161.648990528196009 1.102786044926259 4163.036438086785893 1.094368236753599 4164.424348204985108 1.086730353037270 4165.812721037000301 1.080529865071883 4167.201556737103601 1.074724826306356 4168.590855459607155 1.068479160426131 4169.980617358876771 1.062507354944953 4171.370842589325548 1.057621622964731 4172.761531305432072 1.053348771439641 4174.152683661713127 1.048721816600036 4175.544299812741883 1.043484309764259 4176.936379913136079 1.038046493774237 4178.328924117581664 1.032772019890159 4179.721932580800967 1.027462101283673 4181.115405457572706 1.022174036631755 4182.509342902722892 1.017828020401786 4183.903745071141202 1.014466955401836 4185.298612117758239 1.010334428908885 4186.693944197559176 1.006279415088685 4188.089741465580119 1.003576813724343 4189.486004076905374 1.001288180087165 4190.882732186684734 0.999153624045985 4192.279925950104371 0.997169714636195 4193.677585522409572 0.995002200358202 4195.075711058891102 0.993008425353196 4196.474302714904297 0.990724898095905 4197.873360645844514 0.988371356522862 4199.272885007162586 0.986744285925536 4200.672875954356641 0.984582424952322 4202.073333642990292 0.981941584714229 4203.474258228665349 0.979757808596638 4204.875649867039101 0.977814716632299 4206.277508713819770 0.976190004528883 4207.679834924775605 0.975084216216876 4209.082628655718509 0.973670373578521 4210.485890062512226 0.971862119641126 4211.889619301072344 0.969700369086715 4213.293816527376293 0.967974668383472 4214.698481897441525 0.966788275704221 4216.103615567342786 0.965656157173593 4217.509217693202118 0.964505613086409 4218.915288431204317 0.963423772757497 4220.321827937576927 0.962555156915439 4221.728836368601151 0.961746678171421 4223.136313880607304 0.960791954605985 4224.544260629990276 0.959789767362342 4225.952676773184066 0.957987450955461 4227.361562466679970 0.955650220034548 4228.770917867020216 0.954340348374784 4230.180743130796145 0.953007148007596 4231.591038414662762 0.950822771121396 4233.001803875316000 0.947955305887166 4234.413039669508180 0.944627051706818 4235.824745954037098 0.941046084879484 4237.236922885768763 0.937620139484504 4238.649570621608291 0.934093926158483 4240.062689318514458 0.930434283387567 4241.476279133497883 0.926480374466048 4242.890340223631938 0.922837798038956 4244.304872746030014 0.920194905234976 4245.719876857863710 0.917502445663863 4247.135352716350098 0.914331802428281 4248.551300478772646 0.911573567999328 4249.967720302455746 0.909162438332897 4251.384612344778361 0.906962343059146 4252.801976763169478 0.906146716557488 4254.219813715121745 0.905806763702862 4255.638123358169651 0.905077730609268 4257.056905849901341 0.904980835836831 4258.476161347956804 0.904941628381768 4259.895890010038784 0.906282529755315 4261.316091993890041 0.908194457121124 4262.736767457312453 0.909935161064314 4264.157916558152465 0.911578250133645 4265.579539454325641 0.912849524335035 4267.001636303785745 0.914218351659788 4268.424207264542929 0.916292928018497 4269.847252494656459 0.918623383822073 4271.270772152251084 0.921279704880296 4272.694766395491570 0.923580068291577 4274.119235382599982 0.924324178277961 4275.544179271849316 0.925173992923901 4276.969598221563501 0.927284116126174 4278.395492390130130 0.929749709202497 4279.821861935978632 0.930887803419570 4281.248707017593915 0.930401221398574 4282.676027793509093 0.929075521232122 4284.103824422326397 0.926966947329024 4285.532097062683533 0.924063333220056 4286.960845873278231 0.921501857678786 4288.390071012855515 0.919317186073992 4289.819772640227711 0.916737931748845 4291.249950914245346 0.913330168010886 4292.680605993817153 0.911011623623711 4294.111738037900977 0.911241440064233 4295.543347205521059 0.912621216106608 4296.975433655738925 0.913510102295404 4298.407997547676132 0.913956362973608 4299.841039040501528 0.915238571550633 4301.274558293451264 0.917212643743652 4302.708555465801510 0.918822026247169 4304.143030716883914 0.921053711057195 4305.577984206081055 0.924421323658537 4307.013416092840998 0.927662448503617 4308.449326536651824 0.930801580115204 4309.885715697058913 0.934537653817526 4311.322583733655847 0.938629511500658 4312.759930806104421 0.942777417147728 4314.197757074106448 0.947166615495624 4315.636062697418311 0.952099560506218 4317.074847835848232 0.956801113205098 4318.514112649269919 0.960193216097347 4319.953857297598006 0.962808315080430 4321.394081940803517 0.964741344845290 4322.834786738911134 0.966721885437032 4324.275971851995564 0.969252224973652 4325.717637440196995 0.971530533614564 4327.159783663694725 0.972261557925274 4328.602410682729897 0.972125567370180 4330.045518657587309 0.973402270443924 4331.489107748622700 0.975686669123851 4332.933178116230920 0.978383654574794 4334.377729920862294 0.981794031649407 4335.822763323019899 0.984998632162878 4337.268278483270478 0.987075271610088 4338.714275562223520 0.989365664021074 4340.160754720545810 0.993757790970711 4341.607716118950520 0.999074758802289 4343.055159918222671 1.003123651972470 4344.503086279182753 1.006369550038370 4345.951495362713104 1.008983399705735 4347.400387329743353 1.010241406875887 4348.849762341269525 1.010229540712341 4350.299620558328570 1.009487903650479 4351.749962142017466 1.008505620430056 4353.200787253479575 1.006401201881370 4354.652096053927380 1.003130924672144 4356.103888704612473 0.998658594277239 4357.556165366844652 0.992682518376767 4359.008926201984650 0.986514293761134 4360.462171371458680 0.980794017400064 4361.915901036734795 0.974605229291059 4363.370115359336523 0.968132428688551 4364.824814500844695 0.961760331988946 4366.279998622888343 0.954894876637250 4367.735667887162890 0.947380468538968 4369.191822455404690 0.940656818999229 4370.648462489409212 0.933865135053359 4372.105588151020129 0.926016155449561 4373.563199602150235 0.917917997030277 4375.021297004752341 0.910796985838023 4376.479880520835650 0.904508972513022 4377.938950312460292 0.897873198959610 4379.398506541756433 0.890936527879618 4380.858549370890614 0.884396686678758 4382.319078962090316 0.878156443936957 4383.780095477632130 0.873027750830837 4385.241599079860862 0.869695563641239 4386.703589931160423 0.867372744235236 4388.166068193973842 0.865100350493330 4389.629034030795083 0.862509912854440 4391.092487604185408 0.861861321134924 4392.556429076744280 0.863446226527640 4394.020858611133917 0.865133207324678 4395.485776370063832 0.867248246301367 4396.951182516310837 0.869829597948027 4398.417077212693584 0.872245298747936 4399.883460622088933 0.875174863728671 4401.350332907425582 0.878609453241715 4402.817694231695896 0.882938796781751 4404.285544757937714 0.887398247062902 4405.753884649244355 0.891420048320994 4407.222714068760069 0.895964234610691 4408.692033179698228 0.900612238724121 4410.161842145310402 0.905966407867110 4411.632141128910007 0.912370770420415 4413.102930293863210 0.918725741331054 4414.574209803586200 0.924533169869345 4416.045979821564288 0.930738539827815 4417.518240511321892 0.937533033536531 4418.990992036444368 0.944072461166570 4420.464234560566183 0.950616819009823 4421.937968247389108 0.957895961818061 4423.412193260658569 0.964821782458548 4424.886909764175471 0.971253627605669 4426.362117921793470 0.976507827947875 4427.837817897434434 0.981635262761653 4429.314009855059339 0.987004930556293 4430.790693958689189 0.991385479984766 4432.267870372396828 0.994669036241616 4433.745539260321493 0.998197863741066 4435.223700786643349 1.002619229335684 4436.702355115603496 1.006604910078764 4438.181502411492147 1.009599765926937 4439.661142838667729 1.013375027210188 4441.141276561530503 1.018013697211097 4442.621903744539850 1.022287816255423 4444.103024552205170 1.026180967324653 4445.584639149104987 1.030536134886799 4447.066747699857842 1.035230929072305 4448.549350369142303 1.038412720826597 4450.032447321687869 1.041167575395598 4451.516038722293160 1.044193144353856 4453.000124735795907 1.046212654014959 4454.484705527094775 1.047323572549288 4455.969781261138451 1.048340285713722 4457.455352102944744 1.048575067823510 4458.941418217572391 1.048066916403631 4460.427979770141064 1.046015021655955 4461.915036925822278 1.044540192401876 4463.402589849841206 1.043394904204387 4464.890638707490325 1.042387309203714 4466.379183664103948 1.042023810093831 4467.868224885075506 1.041772358568479 4469.357762535850270 1.040229025707734 4470.847796781940815 1.040255426085236 4472.338327788902461 1.041617251288001 4473.829355722349646 1.043221889611460 4475.320880747947740 1.044598424607399 4476.812903031430324 1.045307438897670 4478.305422738573725 1.045580338973684 4479.798440035212479 1.046306279252062 4481.291955087233873 1.047279537122394 4482.785968060593405 1.048758419466405 4484.280479121286589 1.048701596105616 4485.775488435370789 1.047596813951733 4487.270996168954298 1.045938075893857 4488.767002488212711 1.044038182197722 4490.263507559365280 1.042133730789466 4491.760511548690374 1.041011030307261 4493.258014622516384 1.039986182408037 4494.756016947241733 1.038427199242885 4496.254518689307588 1.037171382991927 4497.753520015212416 1.036347308755047 4499.253021091509254 1.036421953470184 4500.753022084817530 1.036565511283337 4502.253523161799421 1.037297526318657 4503.754524489178038 1.038675819735760 4505.256026233730154 1.039893696058683 4506.758028562285290 1.040755380901541 4508.260531641741181 1.041802127018792 4509.763535639039219 1.043984128066002 4511.267040721179001 1.046297924516522 4512.771047055211966 1.047265626716511 4514.275554808260495 1.047517300435454 4515.780564147485165 1.047540485185196 4517.286075240111131 1.047043331495199 4518.792088253411748 1.046017366970511 4520.298603354732222 1.044748697625250 4521.805620711456868 1.043720940635859 4523.313140491032755 1.042956181012656 4524.821162860958793 1.041092392858988 4526.329687988800288 1.038402508966527 4527.838716042167107 1.037124267429129 4529.348247188730056 1.036816811519354 4530.858281596208144 1.036039449595756 4532.368819432394957 1.036179253713175 4533.879860865120463 1.037669284439461 4535.391406062281021 1.039644334309311 4536.903455191819376 1.040914274912720 4538.416008421751030 1.041248881080239 4539.929065920132416 1.041947574804447 4541.442627855081810 1.043451619198137 4542.956694394767510 1.045310992394924 4544.471265707428756 1.047853110200654 4545.986341961345715 1.051635727597690 4547.501923324861309 1.055338789234816 4549.018009966368481 1.058799211629084 4550.534602054330207 1.061645274999297 4552.051699757253118 1.064682394745895 4553.569303243702961 1.069007868436471 4555.087412682301874 1.073157625106948 4556.606028241723834 1.077112647079568 4558.125150090714669 1.081115329125682 4559.644778398060225 1.084957313086832 4561.164913332607284 1.088529992626688 4562.685555063256288 1.092261572822529 4564.206703758976801 1.095076146711894 4565.728359588779313 1.098330192770031 4567.250522721738889 1.102877313832505 4568.773193326977889 1.106747795051478 4570.296371573692340 1.110381160426650 4571.820057631119198 1.114213061571276 4573.344251668557263 1.117493056027035 4574.868953855356267 1.119996317108307 4576.394164360937793 1.122234406061297 4577.919883354765261 1.124962222234870 4579.446111006361207 1.129028667460921 4580.972847485303646 1.132866827978416 4582.500092961237897 1.134993931413184 4584.027847603853843 1.136529657714603 4585.556111582902304 1.138409267832306 4587.084885068185031 1.141086040761390 4588.614168229575625 1.143784451821847 4590.143961236989526 1.146174704304053 4591.674264260404016 1.148578957283873 4593.205077469848220 1.150056320293580 4594.736401035421295 1.149695683387967 4596.268235127266053 1.148540589999173 4597.800579915586241 1.147007882146738 4599.333435570641996 1.144170387789460 4600.866802262746205 1.138874869353401 4602.400680162281787 1.131444223775197 4603.935069439676226 1.123760872998667 4605.469970265416123 1.115546976651166 4607.005382810041738 1.105668570596578 4608.541307244163363 1.095409665801168 4610.077743738435856 1.085629376263488 4611.614692463572283 1.076348877416577 4613.152153590342095 1.067878947969293 4614.690127289582961 1.059832966546625 4616.228613732176200 1.052463917307310 4617.767613089064071 1.046112338409867 4619.307125531242491 1.040286075519516 4620.847151229777410 1.034417811895324 4622.387690355778432 1.028698872512282 4623.928743080417007 1.023442480971450 4625.470309574915518 1.018316263237316 4627.012390010569106 1.012985837895008 4628.554984558714750 1.008115669286716 4630.098093390753093 1.004344494726686 4631.641716678134799 1.001900242888373 4633.185854592383293 0.999257622561835 4634.730507305064748 0.996011080098014 4636.275674987808088 0.993404635870279 4637.821357812292263 0.992156777252655 4639.367555950270798 0.991754132084746 4640.914269573537240 0.992104841364765 4642.461498853950616 0.992946897914704 4644.009243963419067 0.994255572907864 4645.557505073923494 0.995592113131982 4647.106282357489363 0.996139894126863 4648.655575986203075 0.997017352702792 4650.205386132207423 0.999389687739683 4651.755712967698855 1.002526498821809 4653.306556664945674 1.005580616935050 4654.857917396258927 1.009014732752158 4656.409795334012415 1.013159919769887 4657.962190650632692 1.017593283313985 4659.515103518616343 1.022203324738117 4661.068534110505425 1.027304143471266 4662.622482598902934 1.033179979092521 4664.176949156465525 1.039551036200162 4665.731933955920795 1.045148386098240 4667.287437170039993 1.049555278961202 4668.843458971657128 1.053140986569781 4670.399999533658956 1.055497479983355 4671.957059029003176 1.057202107097297 4673.514637630692050 1.058235451259151 4675.072735511790597 1.058240566672755 4676.631352845414767 1.057950316968341 4678.190489804754179 1.057289802346129 4679.750146563042108 1.056364671333146 4681.310323293572765 1.056747300196911 4682.871020169695839 1.057344652862838 4684.432237364830144 1.057821868809701 4685.993975052440874 1.059549664595552 4687.556233406052343 1.061868883999966 4689.119012599246162 1.064462157284401 4690.682312805673064 1.067012817700450 4692.246134199029257 1.068846341393849 4693.810476953070975 1.070719849865412 4695.375341241609931 1.072208709129234 4696.940727238530599 1.072932282314896 4698.506635117758378 1.073762079320033 4700.073065053284154 1.073661075961369 4701.640017219155197 1.071077693653367 4703.207491789472442 1.067317220030938 4704.775488938410490 1.063738413341163 4706.344008840183960 1.060658194497826 4707.913051669075685 1.057636584622059 4709.482617599416699 1.052962951447522 4711.052706805614434 1.047759387843021 4712.623319462117252 1.042931967438704 4714.194455743438084 1.037761926618913 4715.766115824143526 1.032417259076250 4717.338299878871112 1.028296261419721 4718.911008082303852 1.025037196043048 4720.484240609186600 1.021185194001867 4722.057997634318781 1.017226588609380 4723.632279332570761 1.014730721846742 4725.207085878859289 1.013417340589376 4726.782417448162050 1.012093821413805 4728.358274215510392 1.011251317234605 4729.934656356011146 1.011839651770020 4731.511564044811166 1.013610578866283 4733.088997457123696 1.014996889819699 4734.666956768213822 1.016416469817813 4736.245442153419390 1.018709538458004 4737.824453788123719 1.021087697646953 4739.403991847771977 1.023731620301026 4740.984056507863897 1.026798298040101 4742.564647943971977 1.030551990989477 4744.145766331712366 1.033744204393078 4745.727411846764880 1.036804062185918 4747.309584664868453 1.040001170365574 4748.892284961814767 1.043690283071058 4750.475512913469174 1.047791178247982 4752.059268695740684 1.051429552887920 4753.643552484602878 1.054462443001674 4755.228364456081181 1.058104771545891 4756.813704786277412 1.061059890917410 4758.399573651334322 1.063306093341380 4759.985971227459231 1.065978115580919 4761.572897690914942 1.068485726425427 4763.160353218036107 1.071611493143493 4764.748337985201033 1.073731761373127 4766.336852168852602 1.075562939098035 4767.925895945487355 1.078096678799220 4769.515469491676413 1.079708127526178 4771.105572984033643 1.080458524386616 4772.696206599237485 1.081473571608893 4774.287370514020040 1.082468715914309 4775.879064905186169 1.083151581150235 4777.471289949587117 1.082904194326203 4779.064045824135974 1.081996690769979 4780.657332705801309 1.080431809934125 4782.251150771624452 1.077494132277242 4783.845500198692207 1.075156957697480 4785.440381164153223 1.073233973740451 4787.035793845211629 1.069757284355625 4788.631738419146131 1.065021809448138 4790.228215063279094 1.059860231122546 4791.825223954996545 1.054587424331960 4793.422765271738172 1.049081001862805 4795.020839191019149 1.043028191915477 4796.619445890399220 1.036267377766844 4798.218585547499970 1.028433805818364 4799.818258340003922 1.019785515323953 4801.418464445647260 1.011050306141450 4803.019204042241654 1.003327442080659 4804.620477307641522 0.995513874567970 4806.222284419765856 0.987495180157043 4807.824625556588217 0.979235570239145 4809.427500896156744 0.970806401933806 4811.030910616563233 0.962933107975635 4812.634854895964963 0.955151634329569 4814.239333912573784 0.946368371569463 4815.844347844673393 0.938146315398271 4817.449896870593875 0.930277367727819 4819.055981168730796 0.922339909358795 4820.662600917531563 0.914879487671302 4822.269756295520892 0.907194363598901 4823.877447481265335 0.899731749984433 4825.485674653397837 0.892602687704234 4827.094437990605002 0.885937281646756 4828.703737671648923 0.880475123310478 4830.313573875335351 0.875275451149670 4831.923946780535516 0.869768008341047 4833.534856566173403 0.864758811663975 4835.146303411250301 0.860358585827085 4836.758287494810247 0.856447022250415 4838.370808995962761 0.852901663533127 4839.983868093871024 0.850122786546885 4841.597464967775522 0.847452660133637 4843.211599796958581 0.845508126886458 4844.826272760768916 0.844398856373556 4846.441484038608905 0.843545596075326 4848.057233809957324 0.843796442500133 4849.673522254337513 0.843747413987032 4851.290349551335567 0.842542420424814 4852.907715880599426 0.841305769806785 4854.525621421832511 0.840914773082960 4856.144066354811002 0.840417860403435 4857.763050859357463 0.839713568607845 4859.382575115358122 0.838815446537475 4861.002639302757416 0.837696215489701 4862.623243601569811 0.836228212320625 4864.244388191859798 0.834503376089719 4865.866073253752802 0.833127755770864 4867.488298967431547 0.832255378786212 4869.111065513154244 0.831412594708830 4870.734373071221853 0.830956938863065 4872.358221822003543 0.830865332249681 4873.982611945920326 0.830481360859142 4875.607543623470519 0.830119187517186 4877.233017035197918 0.829802922538614 4878.859032361709069 0.829860513864283 4880.485589783668729 0.830823293272491 4882.112689481815323 0.832393819551275 4883.740331636932751 0.834627494311064 4885.368516429868578 0.836931540955734 4886.997244041529484 0.839224856624105 4888.626514652894002 0.842294722486855 4890.256328444987048 0.845213426626545 4891.886685598899930 0.848934443414717 4893.517586295777619 0.853666641500169 4895.149030716841480 0.858980901316579 4896.781019043358356 0.863523300265525 4898.413551456660571 0.867473134849465 4900.046628138139567 0.871178287525035 4901.680249269244086 0.873978251805909 4903.314415031497447 0.876004052504992 4904.949125606469352 0.878755251601908 4906.584381175793169 0.880718334887186 4908.220181921158655 0.880032483454341 4909.856528024332874 0.878407471980034 4911.493419667126545 0.877303586522066 4913.130857031415871 0.876595899580917 4914.768840299133444 0.875038518948954 4916.407369652289162 0.873218647742409 4918.046445272933852 0.871732958667240 4919.686067343190189 0.870356379233085 4921.326236045230871 0.869252443796768 4922.966951561307724 0.870507768067603 4924.608214073718045 0.872230100658774 4926.250023764823709 0.871956800804826 4927.892380817042977 0.870942841841811 4929.535285412870508 0.871543274761981 4931.178737734846436 0.873387729891232 4932.822737965575470 0.875164341423478 4934.467286287719617 0.876484911863882 4936.112382884017279 0.876825468989797 4937.758027937250517 0.876112068504602 4939.404221630271422 0.874964918366022 4941.050964145982107 0.874935849055267 4942.698255667366539 0.876467627851037 4944.346096377450522 0.877778309362074 4945.994486459328073 0.877640889266304 4947.643426096148687 0.877094826785442 4949.292915471138258 0.877564591100310 4950.942954767568153 0.878789009626013 4952.593544168775225 0.880521540706683 4954.244683858159988 0.883330455895565 4955.896374019174800 0.886992460761076 4957.548614835353874 0.891128682049836 4959.201406490272348 0.894490095567494 4960.854749167574482 0.898050157085356 4962.508643050960018 0.903338866261876 4964.163088324204182 0.908554623233390 4965.818085171131315 0.912684148040145 4967.473633775627604 0.917031766375900 4969.129734321639262 0.922106034340370 4970.786386993186170 0.926120710965934 4972.443591974338233 0.929482814690000 4974.101349449227200 0.931496813864854 4975.759659602043030 0.933372300719473 4977.418522617054805 0.934777617778783 4979.077938678573446 0.934829814693988 4980.737907970979904 0.934962574603657 4982.398430678708792 0.935255275352727 4984.059506986273846 0.935375831908041 4985.721137078233369 0.935282930427666 4987.383321139213876 0.935291968738961 4989.046059353896453 0.935641647750848 4990.709351907040400 0.937467756876895 4992.373198983450493 0.939706927666030 4994.037600767998811 0.942343118891727 4995.702557445614730 0.945152951504222 4997.368069201302205 0.948165317070555 4999.034136220114306 0.951452041026242 5000.700758687167763 0.953847603701531 5002.367936787644794 0.954990495559796 5004.035670706781275 0.955798766405914 5005.703960629891299 0.956029849756984 5007.372806742336252 0.955941337513894 5009.042209229542095 0.955583456166430 5010.712168276992998 0.954619191455882 5012.382684070251344 0.953838727199437 5014.053756794924084 0.953242450923670 5015.725386636685471 0.952595458514122 5017.397573781267965 0.952456554094734 5019.070318414480425 0.953741750502185 5020.743620722177184 0.956526888407842 5022.417480890281695 0.959814720904836 5024.091899104772892 0.963275376740909 5025.766875551708836 0.967513231593332 5027.442410417190331 0.971647708296246 5029.118503887390034 0.974922874137762 5030.795156148533351 0.979378068217429 5032.472367386927544 0.984179032244770 5034.150137788923530 0.989762061866790 5035.828467540939528 0.994370668523821 5037.507356829451965 0.997424414892005 5039.186805841014575 1.000328303788011 5040.866814762227477 1.003404518890883 5042.547383779758093 1.006477244336956 5044.228513080332050 1.010854616927910 5045.910202850750466 1.016108452758841 5047.592453277863569 1.020542129525051 5049.275264548587074 1.025444479763875 5050.958636849896720 1.029911857279825 5052.642570368841916 1.035407013746967 5054.327065292523002 1.041528492892217 5056.012121808105803 1.047468235966568 5057.697740102817988 1.053425483517663 5059.383920363945435 1.058983525296456 5061.070662778852238 1.062678531922588 5062.757967534949785 1.065830791670596 5064.445834819714946 1.069000155282433 5066.134264820683711 1.072219932034493 5067.823257725471194 1.075305899590620 5069.512813721736165 1.078081387867743 5071.202932997207427 1.080837612979309 5072.893615739671986 1.082922505789170 5074.584862136993252 1.084463701342563 5076.276672377081923 1.085711938963364 5077.969046647916912 1.087512416717598 5079.661985137535339 1.089134164306701 5081.355488034050722 1.089650477240019 5083.049555525626602 1.088503983605601 5084.744187800491090 1.086902199501143 5086.439385046932330 1.084529930939774 5088.135147453314858 1.081572687969379 5089.831475208053234 1.078617025080704 5091.528368499627504 1.075873925071763 5093.225827516575919 1.074174624010052 5094.923852447514946 1.072188716036556 5096.622443481110167 1.069791566933325 5098.321600806092647 1.068107187221684 5100.021324611253476 1.067830959901870 5101.721615085461053 1.067777593596111 5103.422472417631070 1.068507027549966 5105.123896796747431 1.068974830979824 5106.825888411852247 1.069290483127557 5108.528447452065848 1.069388586768481 5110.231574106557673 1.069025804901226 5111.935268564562648 1.069135253430454 5113.639531015380271 1.068789341883851 5115.344361648368249 1.067764720558924 5117.049760652962505 1.067665616817825 5118.755728218646254 1.068151071858239 5120.462264534971837 1.068489171922397 5122.169369791548888 1.069210261381472 5123.877044178067081 1.069981748240799 5125.585287884261561 1.070953494846895 5127.294101099937507 1.072412955428810 5129.003484014958303 1.073934790605525 5130.713436819265553 1.076265615564972 5132.423959702849061 1.078647032671450 5134.135052855766844 1.079837505269079 5135.846716468135128 1.080319102996827 5137.558950730148354 1.080953313435891 5139.271755832050985 1.082385596212030 5140.985131964152970 1.084778157516274 5142.699079316826101 1.087411825817205 5144.413598080518568 1.090548851241759 5146.128688445727676 1.093472964034363 5147.844350603018029 1.095923763485248 5149.560584743013351 1.098199877246459 5151.277391056418310 1.101613488526904 5152.994769733983048 1.106098734859662 5154.712720966526831 1.110211176191056 5156.431244944929858 1.113560403707599 5158.150341860147819 1.115963125563255 5159.870011903186423 1.117018452354703 5161.590255265120504 1.117660909237738 5163.311072137088559 1.119019026867310 5165.032462710287291 1.121163893659044 5166.754427175992532 1.123346210808237 5168.476965725527407 1.125099497628316 5170.200078550286889 1.126887784099650 5171.923765841721433 1.128475635187298 5173.648027791363347 1.129281502337870 5175.372864590790414 1.130899428541503 5177.098276431653176 1.133181819541628 5178.824263505657655 1.135561807248260 5180.550826004589908 1.136412555698153 5182.277964120286924 1.135093362302240 5184.005678044652086 1.132212140531845 5185.733967969646983 1.128225158748521 5187.462834087316878 1.123951110455185 5189.192276589750691 1.118579682923956 5190.922295669110099 1.111360896891981 5192.652891517613170 1.104383754168211 5194.384064327558917 1.096851160572417 5196.115814291295464 1.087966031842415 5197.848141601238240 1.078878903946473 5199.581046449864516 1.070403273814658 5201.314529029727964 1.062595159376450 5203.048589533434097 1.054004755410206 5204.783228153654818 1.044913542788212 5206.518445083123879 1.036442260401631 5208.254240514652338 1.027727243574182 5209.990614641102184 1.017591476841999 5211.727567655403618 1.007120024550861 5213.465099750545050 0.997404888191821 5215.203211119597654 0.988122960731115 5216.941901955678986 0.978606942286922 5218.681172451977545 0.969398845889454 5220.421022801744584 0.960658083859024 5222.161453198292293 0.952493398198491 5223.902463835011986 0.945590235565844 5225.644054905344092 0.939089671225759 5227.386226602799070 0.932847907108175 5229.128979120945587 0.927656855418811 5230.872312653434165 0.922615891371369 5232.616227393962617 0.917637008570600 5234.360723536299702 0.912505754617443 5236.105801274272380 0.907281403845194 5237.851460801789472 0.902825112038984 5239.597702312807087 0.898894300165940 5241.344526001354097 0.895464997239316 5243.091932061513944 0.893221995422286 5244.839920687454651 0.891270776187290 5246.588492073392445 0.890493865901203 5248.337646413612674 0.891099930411951 5250.087383902459806 0.892026926635104 5251.837704734360159 0.893379233441746 5253.588609103789167 0.894628184259570 5255.340097205291386 0.896183336316389 5257.092169233470486 0.897440225991048 5258.844825383013813 0.897991946062992 5260.598065848653277 0.898324265690565 5262.351890825193550 0.898254793190932 5264.106300507501146 0.897056497277531 5265.861295090518979 0.895754616045183 5267.616874769240894 0.894607337721163 5269.373039738733496 0.893942780034821 5271.129790194117959 0.893306854742629 5272.887126330601859 0.892476343234763 5274.645048343438248 0.892427588973115 5276.403556427952935 0.892784053257592 5278.162650779533578 0.893331927988956 5279.922331593632407 0.894526140515946 5281.682599065778049 0.896220750814733 5283.443453391550975 0.898187094987785 5285.204894766602592 0.900817337482665 5286.966923386642520 0.903987612292316 5288.729539447462230 0.907476587972187 5290.492743144902306 0.911388789255013 5292.256534674876093 0.915446239601273 5294.020914233353324 0.919453580085084 5295.785882016387404 0.923302807785974 5297.551438220079945 0.927210615097823 5299.317583040604404 0.930903903599150 5301.084316674194270 0.934298292277290 5302.851639317163063 0.937772055935411 5304.619551165875237 0.940610122158228 5306.388052416765277 0.943469819980236 5308.157143266328603 0.946231238430065 5309.926823911140673 0.949528657416688 5311.697094547826055 0.952173551461404 5313.467955373083896 0.953162680413529 5315.239406583670643 0.953607818163599 5317.011448376424596 0.954493873039199 5318.784080948233168 0.955169166429109 5320.557304496056531 0.955675473145592 5322.331119216913066 0.954852435165703 5324.105525307905737 0.953398707145053 5325.880522966184799 0.951888969195755 5327.656112388971451 0.950146259454446 5329.432293773553283 0.950024553411534 5331.209067317279732 0.951549525435670 5332.986433217579361 0.953049244832930 5334.764391671933481 0.953667274610725 5336.542942877891619 0.954567613039808 5338.322087033065145 0.956977515219176 5340.101824335149104 0.960302423079570 5341.882154981885833 0.963371129286297 5343.663079171088611 0.966268572268154 5345.444597100634383 0.968332263654434 5347.226708968479215 0.969495496705186 5349.009414972631930 0.970428508640537 5350.792715311167740 0.971610550337187 5352.576610182228251 0.972107822785000 5354.361099784034195 0.971832378757361 5356.146184314857237 0.971407620796243 5357.931863973039071 0.970126512470004 5359.718138956983239 0.968325421079509 5361.505009465176954 0.967314955865111 5363.292475696154725 0.966830942421136 5365.080537848523818 0.965520627319587 5366.869196120953347 0.964061241100338 5368.658450712192462 0.962736680895758 5370.448301821043060 0.961526766867985 5372.238749646377983 0.959891280817876 5374.029794387128277 0.958329658194553 5375.821436242312302 0.958321651261342 5377.613675410993892 0.958309319376839 5379.406512092312369 0.957470247906821 5381.199946485465262 0.956804272389968 5382.993978789734683 0.954790470890941 5384.788609204451859 0.952097814148867 5386.583837929018955 0.949125736555787 5388.379665162907258 0.945598860761678 5390.176091105648084 0.941610383288783 5391.973115956854599 0.936900812844428 5393.770739916189996 0.930722700301103 5395.568963183390224 0.924515174633799 5397.367785958253990 0.918060498464601 5399.167208440660943 0.911317982847777 5400.967230830539847 0.905662305140393 5402.767853327895864 0.900377424378289 5404.569076132790542 0.894900649903910 5406.370899445370924 0.888934278938720 5408.173323465834983 0.883680499066702 5409.976348394451634 0.878881871424711 5411.779974431551636 0.874324923354845 5413.584201777548515 0.869745890244547 5415.389030632906724 0.865739528114292 5417.194461198163481 0.862493683324428 5419.000493673915116 0.859051385743724 5420.807128260844365 0.856419688289168 5422.614365159682166 0.855833572678668 5424.422204571232214 0.857377305240089 5426.230646696361873 0.859125585470428 5428.039691736017630 0.860889527603800 5429.849339891201453 0.864054826891939 5431.659591362983520 0.868362596135804 5433.470446352497675 0.872819677626191 5435.281905060961435 0.878067392760475 5437.093967689643250 0.884006561523657 5438.906634439882509 0.889422595341875 5440.719905513086815 0.894638971546457 5442.533781110723794 0.898924150386360 5444.348261434349297 0.903595867936760 5446.163346685563738 0.908810342399884 5447.979037066045748 0.913733969498992 5449.795332777530348 0.917453156106409 5451.612234021842596 0.921085649380809 5453.429741000852118 0.924998565082897 5455.247853916505846 0.928742022197960 5457.066572970808920 0.933919086262365 5458.885898365853791 0.938596373885793 5460.705830303782932 0.942979435875188 5462.526368986808848 0.947053264736822 5464.347514617209526 0.951453977177436 5466.169267397344811 0.956320887448292 5467.991627529627294 0.961542748526636 5469.814595216540511 0.967217788480653 5471.638170660630749 0.971966254382573 5473.462354064528881 0.977196738735455 5475.287145630916712 0.981241645699013 5477.112545562547893 0.986474102404445 5478.938554062240655 0.991536729103044 5480.765171332895079 0.996168490397338 5482.592397577462179 0.999861683175582 5484.420232998969368 1.002715190026327 5486.248677800501355 1.004981632544167 5488.077732185231071 1.005872787232277 5489.907396356381469 1.007274073399745 5491.737670517248262 1.008431945991859 5493.568554871189917 1.007782801772177 5495.400049621647668 1.004733012327854 5497.232154972117314 1.001578304200097 5499.064871126165599 0.998094012586416 5500.898198287427476 0.994617041203375 5502.732136659599746 0.991033689864231 5504.566686446465610 0.988016090632694 5506.401847851858292 0.986153810458690 5508.237621079682867 0.983594880083331 5510.074006333910802 0.980531143437463 5511.911003818595418 0.978644341670561 5513.748613737840969 0.977110473435444 5515.586836295828107 0.976007312529761 5517.425671696795689 0.976182153900816 5519.265120145071705 0.977056684249120 5521.105181845034167 0.979213923309179 5522.945857001133845 0.980791764627478 5524.787145817883356 0.981810692159027 5526.629048499882629 0.983746374333705 5528.471565251782522 0.986591219430756 5530.314696278306656 0.990145158435144 5532.158441784240495 0.994684275435511 5534.002801974457725 0.999551622374798 5535.847777053881146 1.004009616895067 5537.693367227507224 1.008010200155241 5539.539572700396093 1.012105571438529 5541.386393677693377 1.017241969423798 5543.233830364596542 1.022451227903318 5545.081882966374906 1.028036707977794 5546.930551688361447 1.032854676409659 5548.779836735978279 1.037062379501162 5550.629738314692077 1.041921105207283 5552.480256630050462 1.046509952087954 5554.331391887658356 1.050482320640402 5556.183144293210717 1.054126575948434 5558.035514052451617 1.057546036329117 5559.888501371199709 1.059701638792172 5561.742106455342764 1.061106128838256 5563.596329510830401 1.061844624709054 5565.451170743699549 1.063412402847679 5567.306630360038071 1.064866874136446 5569.162708566007495 1.065207264268413 5571.019405567834838 1.065487002575175 5572.876721571828966 1.066965296124390 5574.734656784352410 1.068538846105764 5576.593211411844095 1.069595896357092 5578.452385660804794 1.071299052340954 5580.312179737818951 1.073816079243179 5582.172593849525583 1.076920481524356 5584.033628202636464 1.079571236738322 5585.895283003928853 1.081660482456191 5587.757558460264590 1.084184255568886 5589.620454778556450 1.085818559957940 5591.483972165794512 1.085807530072777 5593.348110829028883 1.084963049812193 5595.212870975397891 1.085227908055302 5597.078252812091705 1.085349817729751 5598.944256546375073 1.084021751251218 5600.810882385575496 1.081844133648085 5602.678130537107791 1.080688487222953 5604.546001208438611 1.079703626996360 5606.414494607108281 1.078520026536988 5608.283610940721701 1.079504772278625 5610.153350416971080 1.081962733562599 5612.023713243597740 1.084834391842103 5613.894699628420312 1.085710586398511 5615.766309779326548 1.086568291799692 5617.638543904266953 1.088272033345429 5619.511402211279346 1.089834037532049 5621.384884908454296 1.091407178672916 5623.258992203955131 1.093609585121469 5625.133724306009753 1.095101810790406 5627.009081422935196 1.095792207523203 5628.885063763097605 1.095235110850540 5630.761671534939524 1.094780312821777 5632.638904946967159 1.094916291091624 5634.516764207773122 1.094328662486907 5636.395249526003681 1.093357300733723 5638.274361110377868 1.092357322216108 5640.154099169682013 1.091206157922930 5642.034463912787032 1.090730749731836 5643.915455548614773 1.088930081531576 5645.797074286166207 1.085646805638491 5647.679320334504155 1.083667830377631 5649.562193902777835 1.082177197306851 5651.445695200189220 1.080234272047099 5653.329824436017589 1.077895717179487 5655.214581819604973 1.075239806365616 5657.099967560378900 1.072527538858212 5658.985981867821465 1.069388186068644 5660.872624951491161 1.066364122715355 5662.759897021007419 1.065601652944045 5664.647798286079706 1.065574407376600 5666.536328956468424 1.064173595996069 5668.425489242010372 1.063729275187243 5670.315279352606922 1.064264202271303 5672.205699498246759 1.064064628236449 5674.096749888969498 1.063210370583414 5675.988430734892063 1.062872590277152 5677.880742246202317 1.061406968764224 5679.773684633150879 1.059885955440451 5681.667258106075678 1.058181597416902 5683.561462875368306 1.056212242411029 5685.456299151495841 1.053962315709847 5687.351767144990845 1.050479259317528 5689.247867066470462 1.047853720299188 5691.144599126608227 1.045609088104647 5693.041963536152252 1.043687622554154 5694.939960505914314 1.041850889416312 5696.838590246794411 1.040856051284470 5698.737852969746200 1.038096358876708 5700.637748885797919 1.035905408296023 5702.538278206045106 1.033888795129864 5704.439441141667885 1.031070997086364 5706.341237903900947 1.027959169239561 5708.243668704055381 1.024704013286905 5710.146733753505941 1.021081289912303 5712.050433263717423 1.017812376535350 5713.954767446203732 1.014088684313993 5715.859736512559721 1.010457365389883 5717.765340674442086 1.006453203255738 5719.671580143596657 1.001758197743295 5721.578455131821102 0.998387784998095 5723.485965850990397 0.994802743133192 5725.394112513045002 0.990488247843271 5727.302895330012689 0.987883750528366 5729.212314513975798 0.985547106354830 5731.122370277089431 0.983259296109757 5733.033062831578718 0.981028157786589 5734.944392389752466 0.979011821346289 5736.856359163976776 0.978306598485389 5738.768963366690514 0.977001036431719 5740.682205210406210 0.976565557850958 5742.596084907700060 0.977546812885159 5744.510602671238303 0.979294122396135 5746.425758713737196 0.979970924574790 5748.341553247993033 0.979833195354101 5750.257986486866685 0.980059337210824 5752.175058643305420 0.981108325859507 5754.092769930312897 0.980594390117945 5756.011120560966447 0.980970034708449 5757.930110748412517 0.981819519355147 5759.849740705882141 0.982550745096392 5761.770010646661831 0.982008757561308 5763.690920784115406 0.981390882716528 5765.612471331671259 0.981575993277376 5767.534662502846913 0.981362435016606 5769.457494511213554 0.981108470454294 5771.380967570418761 0.982197775585856 5773.305081894175601 0.983301827745345 5775.229837696287177 0.983429055730172 5777.155235190608437 0.983890743617930 5779.081274591073452 0.985227926436660 5781.007956111679960 0.986416129015534 5782.935279966514827 0.987358066637836 5784.863246369721310 0.988785072378004 5786.791855535515424 0.990705917558984 5788.721107678184126 0.991763362354876 5790.651003012097135 0.992349472459333 5792.581541751684199 0.993976457189059 5794.512724111447824 0.995582951434348 5796.444550305965095 0.996990448708490 5798.377020549875851 0.998813885815811 5800.310135057912703 1.000849804495670 5802.243894044860099 1.002335285114842 5804.178297725578886 1.003281221193210 5806.113346314996306 1.004387938269198 5808.049040028132367 1.006761076760363 5809.985379080056191 1.008240490083996 5811.922363685916935 1.009957758983299 5813.859994060929239 1.011442984430935 5815.798270420396875 1.014128031171949 5817.737192979679094 1.016531042382262 5819.676761954210633 1.017945167272318 5821.616977559493534 1.020063890063151 5823.557840011118969 1.022974338675755 5825.499349524732679 1.025135107614449 5827.441506316057712 1.026812355485023 5829.384310600884419 1.028187290225803 5831.327762595090462 1.030538387943760 5833.271862514608074 1.032797358415668 5835.216610575451341 1.034110575226850 5837.162006993696195 1.037271980524743 5839.108051985507700 1.039829283222685 5841.054745767110035 1.040961001911912 5843.002088554800139 1.042469337298047 5844.950080564945893 1.043559953638824 5846.898722014000668 1.044547249450650 5848.848013118475137 1.046047285549585 5850.797954094957277 1.046693919764526 5852.748545160100548 1.047593584028548 5854.699786530650272 1.048185274567059 5856.651678423404519 1.047210652146553 5858.604221055240487 1.047275240451103 5860.557414643106313 1.048020032535650 5862.511259404018347 1.047226019033243 5864.465755555082069 1.047931793532236 5866.420903313458439 1.049198583983892 5868.376702896385723 1.049507054089043 5870.333154521169490 1.050586066900848 5872.290258405203531 1.051545620783662 5874.248014765938933 1.052406720720466 5876.206423820905002 1.053977426090944 5878.165485787696525 1.054778856754542 5880.125200883996513 1.055055204752468 5882.085569327548910 1.055799727854376 5884.046591336169513 1.055891976665321 5886.008267127745967 1.056328886719860 5887.970596920252319 1.056677528197211 5889.933580931719916 1.056623290116638 5891.897219380258321 1.057803274208644 5893.861512484043487 1.059013482984225 5895.826460461341412 1.060332759938997 5897.792063530474479 1.062647225795306 5899.758321909843289 1.066536155735266 5901.725235817914836 1.070178808238885 5903.692805473247063 1.072803482978249 5905.661031094452483 1.075374386651367 5907.629912900221825 1.078026907458714 5909.599451109315851 1.080298145788278 5911.569645940582632 1.080946599772714 5913.540497612928448 1.081056883483313 5915.512006345334157 1.080736589878867 5917.484172356858835 1.080258060617845 5919.456995866625221 1.079321580893822 5921.430477093847003 1.079235015333044 5923.404616257794260 1.079520837772205 5925.379413577817104 1.080042003947345 5927.354869273329314 1.081111711646383 5929.330983563839254 1.081478216373027 5931.307756668909860 1.082290606139460 5933.285188808181374 1.083393035681915 5935.263280201363159 1.084531017493683 5937.242031068253709 1.084226640236240 5939.221441628709727 1.082807589284700 5941.201512102666129 1.083110467189720 5943.182242710123319 1.084101956629973 5945.163633671176285 1.083319661441919 5947.145685205970949 1.082397614885204 5949.128397534737815 1.081794878359911 5951.111770877771050 1.081615414736921 5953.095805455456684 1.081910736260693 5955.080501488238951 1.082523665487092 5957.065859196638485 1.083938377885675 5959.051878801244129 1.085182020394579 5961.038560522737498 1.084611386995965 5963.025904581854775 1.082800192759347 5965.013911199412178 1.082175269313743 5967.002580596294138 1.081917864402070 5968.991912993473306 1.081169428512047 5970.981908611984181 1.079969448610036 5972.972567672934019 1.078369136992032 5974.963890397502837 1.076578835447624 5976.955877006960691 1.074363611524552 5978.948527722634026 1.072424898616473 5980.941842765925685 1.070919763534812 5982.935822358318546 1.069815977614015 5984.930466721358243 1.069104338186822 5986.925776076684997 1.068240124532406 5988.921750645991779 1.066899156647780 5990.918390651056143 1.065520563132927 5992.915696313718399 1.063889791953891 5994.913667855915264 1.062850832537247 5996.912305499636204 1.061690597452455 5998.911609466953450 1.060330598363891 6000.911579980005627 1.059723785434359 6002.912217261022306 1.058858650290128 6004.913521532293089 1.056001700539756 6006.915493016182154 1.052506721241737 6008.918131935126439 1.048615004841870 6010.921438511652923 1.044059142457772 6012.925412968345881 1.039479726067893 6014.930055527868717 1.034145171377175 6016.935366412952135 1.029055615878199 6018.941345846424156 1.023148729224690 6020.947994051161004 1.016437296389319 6022.955311250127124 1.009981762908045 6024.963297666348808 1.004761939122393 6026.971953522950571 0.999378241354767 6028.981279043107861 0.993176902145666 6030.991274450080709 0.986805931792326 6033.001939967194630 0.979850957520510 6035.013275817869726 0.972691686272760 6037.025282225582487 0.965497373049576 6039.037959413888530 0.959504667505983 6041.051307606411683 0.952805376076304 6043.065327026870364 0.945475989323844 6045.080017899037557 0.938779782808513 6047.095380446769923 0.933478123785714 6049.111414893994151 0.928560473528266 6051.128121464709693 0.923002042218036 6053.145500383006947 0.917367163979738 6055.163551873030883 0.911721169301776 6057.182276159012872 0.905397623874169 6059.201673465247950 0.897563137356394 6061.221744016124831 0.889484166973079 6063.242488036091345 0.880311088404939 6065.263905749673540 0.869537417045189 6067.285997381467496 0.857904026604462 6069.308763156162968 0.846830301162845 6071.332203298504282 0.836738769817998 6073.356318033319440 0.826789145298577 6075.381107585502832 0.816228213820688 6077.406572180045259 0.805118468705205 6079.432712041989362 0.794791402056746 6081.459527396464182 0.785103474772563 6083.487018468663337 0.774794195167131 6085.515185483877758 0.765362793984445 6087.544028667452039 0.756872365117994 6089.573548244813537 0.748305803536745 6091.603744441458730 0.739133487740099 6093.634617482976864 0.729691458820014 6095.666167595013576 0.721398036723571 6097.698395003298174 0.714296608993838 6099.731299933626360 0.709068762130775 6101.764882611889334 0.704879731875128 6103.799143264033773 0.702107339465265 6105.834082116090940 0.699552787861487 6107.869699394162126 0.697322093692477 6109.905995324423202 0.694739901874540 6111.942970133139170 0.694148661304475 6113.980624046636876 0.694001984633163 6116.018957291322295 0.694910309529037 6118.057970093667791 0.695771075004773 6120.097662680245776 0.696917751972612 6122.138035277681411 0.698341895321749 6124.179088112682621 0.700482103627556 6126.220821412027362 0.702478535127084 6128.263235402586361 0.705860145777448 6130.306330311289457 0.710857081383321 6132.350106365146530 0.715998159549495 6134.394563791237488 0.721309616585384 6136.439702816736826 0.726033005289042 6138.485523668876340 0.730346065858668 6140.532026574970587 0.736547652740828 6142.579211762399609 0.743061013379896 6144.627079458642584 0.748114102901117 6146.675629891235076 0.754441102074213 6148.724863287791777 0.760567658625612 6150.774779876000139 0.765860143828842 6152.825379883641290 0.771267265021328 6154.876663538552748 0.776420277695320 6156.928631068656614 0.782167436667905 6158.981282701940472 0.788256671537251 6161.034618666491042 0.792924178613556 6163.088639190449612 0.797990972823158 6165.143344502042055 0.803112491761955 6167.198734829560635 0.806866699589263 6169.254810401396753 0.809903406680641 6171.311571445995469 0.814410471662052 6173.369018191886425 0.818581879024220 6175.427150867673845 0.823373182778023 6177.485969702034708 0.828345623584757 6179.545474923737856 0.832874177719068 6181.605666761610337 0.837622838451178 6183.666545444564690 0.843013481904832 6185.728111201578940 0.849592243054493 6187.790364261729337 0.857998515577898 6189.853304854148519 0.866122833690948 6191.916933208052797 0.874897875669041 6193.981249552727604 0.883656473358567 6196.046254117553872 0.890724470014341 6198.111947131969828 0.897617548061949 6200.178328825497374 0.905053053463667 6202.245399427729353 0.913072814341092 6204.313159168350467 0.919556042824871 6206.381608277107262 0.925687835426147 6208.450746983827230 0.931554511233972 6210.520575518407895 0.936263544392836 6212.591094110843187 0.941941225525306 6214.662302991183424 0.948503178963502 6216.734202389563507 0.955368693445873 6218.806792536189278 0.962596153667392 6220.880073661360257 0.970191251948960 6222.954045995434171 0.978250562442871 6225.028709768853332 0.985552022811656 6227.104065212129171 0.993378905660409 6229.180112555869528 1.002880089722817 6231.256852030739537 1.010894371881714 6233.334283867488921 1.015440327992723 6235.412408296935610 1.020803848888373 6237.491225549996670 1.028418167125942 6239.570735857645559 1.033253097594396 6241.650939450937585 1.038064801191217 6243.731836561006276 1.042808088117703 6245.813427419057916 1.045007826151792 6247.895712256391562 1.047977829224856 6249.978691304366293 1.050513852261583 6252.062364794424866 1.055493310155477 6254.146732958078246 1.061063428596821 6256.231796026937445 1.062832329113516 6258.317554232669863 1.063768605198359 6260.404007807026574 1.065185027370051 6262.491156981826862 1.066571474825814 6264.579001988991877 1.069544146309854 6266.667543060497337 1.070408444933167 6268.756780428401726 1.071280672628158 6270.846714324838103 1.072667248338711 6272.937344982033210 1.074159849700705 6275.028672632272901 1.074093751990433 6277.120697507927616 1.073204691689510 6279.213419841436917 1.074193069139528 6281.306839865339498 1.076196080781241 6283.400957812230445 1.077922130931706 6285.495773914790334 1.078902269309575 6287.591288405768864 1.078283897571069 6289.687501518014869 1.076852002027750 6291.784413484434481 1.074003333832420 6293.882024538017504 1.070528705589860 6295.980334911825594 1.068091116441781 6298.079344839016812 1.065900487980880 6300.179054552808338 1.062333332083878 6302.279464286501934 1.056466158820929 6304.380574273474849 1.051098149915005 6306.482384747179822 1.050141520868136 6308.584895941161449 1.049186273957053 6310.688108089027082 1.049236080245309 6312.792021424466839 1.049403066886533 6314.896636181241774 1.049829997549466 6317.001952593212991 1.051010983900094 6319.107970894295249 1.051654635160266 6321.214691318492441 1.054246110260354 6323.322114099877581 1.058927600573407 6325.430239472620997 1.062068190177796 6327.539067670953955 1.061664672754553 6329.648598929189575 1.062344343991551 6331.758833481713737 1.062622105043646 6333.869771563010545 1.063732771670464 6335.981413407621403 1.064391486105367 6338.093759250174116 1.065951342186752 6340.206809325366521 1.068153439045689 6342.320563867995588 1.068639033571645 6344.435023112914678 1.068410242703615 6346.550187295066280 1.070066587680695 6348.666056649461098 1.072378561990668 6350.782631411208058 1.074302181352663 6352.899911815476116 1.076385402446301 6355.017898097518810 1.078242272956666 6357.136590492661526 1.080495262443095 6359.255989236326968 1.082929965473593 6361.376094563997867 1.084642192478187 6363.496906711241536 1.085859000380481 6365.618425913697138 1.087503303473145 6367.740652407102061 1.088656848095767 6369.863586427252812 1.090484680474301 6371.987228210030480 1.091933346017288 6374.111577991396189 1.093311734169184 6376.236636007381094 1.095639478294078 6378.362402494116395 1.097542675717382 6380.488877687792410 1.098552539635207 6382.616061824683129 1.099900906176046 6384.743955141136212 1.100544534225186 6386.872557873597543 1.100839877521673 6389.001870258572126 1.101864725965373 6391.131892532649545 1.102343950532130 6393.262624932493054 1.102706651853919 6395.394067694864134 1.102135492125551 6397.526221056581562 1.101397502361924 6399.659085254553247 1.101277276382689 6401.792660525756219 1.101335664227526 6403.926947107267551 1.102014326857498 6406.061945236225256 1.103366920155017 6408.197655149849197 1.104269837926416 6410.334077085435638 1.104620804891883 6412.471211280376338 1.105874870665501 6414.609057972124901 1.107047428550515 6416.747617398219518 1.108708484488025 6418.886889796272953 1.110429507754012 6421.026875403993472 1.111232977091942 6423.167574459150273 1.111956210958920 6425.308987199600779 1.113562469951108 6427.451113863271530 1.114090640925838 6429.593954688190934 1.113835191934075 6431.737509912444693 1.112896061326318 6433.881779774206734 1.112095283502787 6436.026764511728288 1.111640475952614 6438.172464363335166 1.110694656830169 6440.318879567450495 1.109730146529769 6442.466010362559246 1.109904874150315 6444.613856987231884 1.109450355967517 6446.762419680110725 1.108189903065962 6448.911698679938127 1.107898619261407 6451.061694225516476 1.107420531528567 6453.212406555734560 1.107483137834486 6455.363835909553018 1.108078597493009 6457.515982526033440 1.106949234017785 6459.668846644295627 1.106214750431334 6461.822428503548508 1.105925197978986 6463.976728343070135 1.105796162276071 6466.131746402243152 1.105034803680258 6468.287482920503862 1.104245757448200 6470.443938137381338 1.104295587075470 6472.601112292473772 1.105363032415181 6474.759005625482132 1.105148496123710 6476.917618376162864 1.104513062960139 6479.076950784364271 1.105557271163677 6481.237003090004691 1.105760909872764 6483.397775533103413 1.104622720889419 6485.559268353737934 1.104710608229290 6487.721481792077611 1.106600229421877 6489.884416088358194 1.108270959866759 6492.048071482920932 1.108746032388373 6494.212448216165285 1.108484913017423 6496.377546528578023 1.109145057848604 6498.543366660716856 1.109857423186082 6500.709908853243178 1.110041236123032 6502.877173346878408 1.110986785491369 6505.045160382427639 1.111497604834242 6507.213870200778729 1.110438361817287 6509.383303042893203 1.109715858566350 6511.553459149832634 1.108314504017533 6513.724338762719526 1.107813905015354 6515.895942122760971 1.107219720865004 6518.068269471241365 1.106496069890011 6520.241321049541511 1.106365991028329 6522.415097099107697 1.106458684780507 6524.589597861468064 1.106855230587024 6526.764823578228970 1.106732086371388 6528.940774491094089 1.105923165917466 6531.117450841829850 1.105158446762874 6533.294852872289994 1.105692666758067 6535.472980824399201 1.104817715092899 6537.651834940187655 1.103260624575255 6539.831415461741926 1.102359847299883 6542.011722631237717 1.101135499901929 6544.192756690924398 1.098789319292474 6546.374517883154112 1.097604502026112 6548.557006450335393 1.097052014948165 6550.740222634969541 1.097270186810984 6552.924166679628797 1.098191876139065 6555.108838826986357 1.098441052699702 6557.294239319777262 1.099037830303632 6559.480368400823863 1.099396490033134 6561.667226313022184 1.097679501974749 6563.854813299371017 1.096346063351234 6566.043129602927365 1.095375270588475 6568.232175466838271 1.094081746742243 6570.421951134324445 1.093217821652746 6572.612456848707552 1.089789386854870 6574.803692853370194 1.085337038522127 6576.995659391783192 1.082791093260169 6579.188356707498315 1.080904273671601 6581.381785044142816 1.079405492655759 6583.575944645443087 1.076972810186493 6585.770835755188273 1.074075634380273 6587.966458617255739 1.071141837609062 6590.162813475595613 1.068716020903753 6592.359900574262610 1.067708315415876 6594.557720157368749 1.067353921885494 6596.756272469117903 1.065628433235778 6598.955557753786707 1.064334801871304 6601.155576255752749 1.062665063309744 6603.356328219455463 1.063236096508787 6605.557813889425233 1.066037120892355 6607.760033510262474 1.066450366564194 6609.962987326672192 1.067838068029008 6612.166675583421238 1.067946746920791 6614.371098525362868 1.067116097797223 6616.576256397426732 1.066722255690937 6618.782149444643437 1.067114761454076 6620.988777912106343 1.068471420116509 6623.196142044996122 1.069769470770588 6625.404242088567116 1.068809774831026 6627.613078288179167 1.069526187791406 6629.822650889252145 1.068955669903683 6632.032960137292321 1.068600226722577 6634.244006277883273 1.069028253114579 6636.455789556711352 1.070587563009711 6638.668310219522937 1.070678548147660 6640.881568512153535 1.069319899251024 6643.095564680520511 1.067896863058393 6645.310298970616714 1.066923873178291 6647.525771628537768 1.065838533303915 6649.741982900441144 1.064893939473616 6651.958933032570712 1.063255813169235 6654.176622271248561 1.060957610114348 6656.395050862898643 1.059292343070836 6658.614219054004934 1.057797402739783 6660.834127091142363 1.056878842016837 6663.054775220961346 1.055787112380846 6665.276163690213252 1.053296815770289 6667.498292745712206 1.051093041557659 6669.721162634361463 1.049881567193959 6671.944773603140675 1.048462274850243 6674.169125899130449 1.045206919715346 6676.394219769474148 1.041193665673503 6678.620055461404263 1.037676477866341 6680.846633222229684 1.034670326615733 6683.073953299362074 1.031987647312964 6685.302015940273122 1.029007700681187 6687.530821392526377 1.027486055281210 6689.760369903759965 1.025301188575226 6691.990661721714787 1.023749164242104 6694.221697094195406 1.023086191985677 6696.453476269092789 1.023168079130026 6698.685999494377029 1.022594134842424 6700.919267018118262 1.021205331530839 6703.153279088453019 1.019200347111116 6705.388035953602412 1.018637918536640 6707.623537861867590 1.018968017213020 6709.859785061650655 1.018416382737328 6712.096777801416465 1.016175654259377 6714.334516329719918 1.014004626485095 6716.573000895199584 1.012566575082952 6718.812231746567704 1.010412956943449 6721.052209132642020 1.008848489187960 6723.292933302302117 1.008636853395194 6725.534404504516715 1.007895857223174 6727.776622988332747 1.006863553063720 6730.019589002897192 1.005715463322061 6732.263302797424330 1.005744083190110 6734.507764621213937 1.006961297040865 6736.752974723644002 1.007126483842029 6738.998933354196197 1.006975698974304 6741.245640762414041 1.007245867694130 6743.493097197932912 1.006400980825259 6745.741302910461854 1.006177877644819 6747.990258149817237 1.005874561866388 6750.239963165873633 1.004041775507588 6752.490418208600204 1.001711887669889 6754.741623528039781 0.999465499240081 6756.993579374340698 0.996667395750538 6759.246285997713130 0.995308343101416 6761.499743648456388 0.993642578892195 6763.753952576949814 0.991231814794286 6766.008913033674617 0.989711925243085 6768.264625269173848 0.987126958920401 6770.521089534082421 0.983447954439465 6772.778306079112554 0.981258450819863 6775.036275155080148 0.978942218013361 6777.294997012862041 0.976209807869977 6779.554471903428748 0.974388138809200 6781.814700077825364 0.973166606277576 6784.075681787202484 0.972919462575712 6786.337417282774368 0.972158644632872 6788.599906815843497 0.970647830889990 6790.863150637797844 0.969406286481940 6793.127149000102690 0.968837004511753 6795.391902154326999 0.968090317086617 6797.657410352103398 0.968151567782752 6799.923673845153644 0.968175473239252 6802.190692885278622 0.968155202473129 6804.458467724383809 0.966712695178763 6806.726998614437434 0.966840957407657 6808.996285807497770 0.968586712710191 6811.266329555700395 0.969158639162653 6813.537130111288207 0.968517957620677 6815.808687726563221 0.969544192771871 6818.081002653921132 0.969103345803413 6820.354075145835850 0.967854218420708 6822.627905454883148 0.965840880468626 6824.902493833705194 0.964958904907463 6827.177840535034193 0.965336273234988 6829.453945811677841 0.963770024585728 6831.730809916552971 0.960319046466562 6834.008433102634626 0.956841367155404 6836.286815622994254 0.954369228263568 6838.565957730778791 0.952598266291530 6840.845859679238856 0.954493539542654 6843.126521721689642 0.956203651548258 6845.407944111539109 0.956960107170827 6847.690127102271617 0.955424030756821 6849.973070947477026 0.953651206769168 6852.256775900807042 0.951143804464619 6854.541242216009778 0.951395575286674 6856.826470146912470 0.954328596437813 6859.112459947422394 0.957356166494597 6861.399211871554144 0.957428151560343 6863.686726173382340 0.955195576653682 6865.975003107076191 0.953916620504285 6868.264042926882212 0.953664736607542 6870.553845887150601 0.950945811272909 6872.844412242298858 0.949384781312732 6875.135742246831796 0.950280041115826 6877.427836155337900 0.951350124355079 6879.720694222505699 0.950890557181717 6882.014316703091026 0.949941498259411 6884.308703851940663 0.949959321058668 6886.603855923980518 0.946946530124609 6888.899773174239272 0.945633924906747 6891.196455857814726 0.947193382828540 6893.493904229891086 0.950505049175204 6895.792118545735320 0.950082211547614 6898.091099060718079 0.948313816696731 6900.390846030274588 0.944580182776064 6902.691359709931930 0.945743661426594 6904.992640355296317 0.943978197548587 6907.294688222078548 0.940887844806605 6909.597503566055821 0.940266701864205 6911.901086643096278 0.937753080557530 6914.205437709146281 0.932451100800130 6916.510557020259512 0.926218681915754 6918.816444832552406 0.921067597021963 6921.123101402235079 0.916106790575603 6923.430526985595861 0.910788141013579 6925.738721839029495 0.902404452256584 6928.047686218995295 0.896479759184183 6930.357420382044438 0.891926639959562 6932.667924584813591 0.885513357953243 6934.979199084018546 0.878815224854290 6937.291244136482419 0.876343605784558 6939.604059999091987 0.877278404156590 6941.917646928825889 0.877875626084920 6944.232005182743706 0.877356959511745 6946.547135018008703 0.876078681292585 6948.863036691852358 0.874917842596188 6951.179710461595278 0.874091032115561 6953.497156584639924 0.876468924717139 6955.815375318494262 0.878874998869225 6958.134366920729917 0.881195425436791 6960.454131649014016 0.882465996426282 6962.774669761090991 0.881562426667887 6965.095981514810774 0.881359966205099 6967.418067168092421 0.882342868909083 6969.740926978944117 0.883968685702596 6972.064561205454083 0.885210238218188 6974.388970105818771 0.964960585046194 6976.714153938299205 0.965081601218109 6979.040112961247360 0.964909270231516 6981.366847433097064 0.963223291483018 6983.694357612388558 0.962101854059294 6986.022643757727565 0.960283879344634 6988.351706127810758 0.960475436355234 6990.681544981417574 0.959655459999453 6993.012160577432951 0.958117600917220 6995.343553174806402 0.956329667296913 6997.675723032582027 0.953310882283622 7000.008670409889419 0.954041461054990 7002.342395565938205 0.956304298996285 7004.676898760044423 0.957271023767030 7007.012180251592326 0.958156053789341 7009.348240300056204 0.960445884744019 7011.685079164990384 0.963390596787894 7014.022697106059240 0.966090164205979 7016.361094382990814 0.969187660526772 7018.700271255606822 0.974157484981969 7021.040227983808109 0.977773670262517 7023.380964827604657 0.978370261888826 7025.722482047071935 0.979175951483745 7028.064779902377268 0.981498736843588 7030.407858653768926 0.985450990993636 7032.751718561604321 0.987270598576293 7035.096359886304526 0.987403336628761 7037.441782888385205 0.988836479139813 7039.787987828442056 0.990141237440039 7042.134974967178096 0.990081852538349 7044.482744565363646 0.990109764667259 7046.831296883860887 0.989555554636304 7049.180632183613852 0.988739662452189 7051.530750725672988 0.986817670126034 7053.881652771156951 0.985781717174080 7056.233338581275348 0.986530230413328 7058.585808417321459 0.986384306997592 7060.939062540693158 0.986066600539778 7063.293101212857437 0.984661288601675 7065.647924695373149 0.982497718739055 7068.003533249881002 0.981588930850995 7070.359927138128114 0.982644065846638 7072.717106621930725 0.984242197189951 7075.075071963197843 0.984407613772390 7077.433823423923968 0.981413672005284 7079.793361266185457 0.979924760967314 7082.153685752168712 0.980205619324300 7084.514797144123804 0.982200159992780 7086.876695704398117 0.984566271421008 7089.239381695415432 0.989794297346537 7091.602855379712310 0.992917517721646 7093.967117019889884 0.993668083420145 7096.332166878642965 0.994161028618101 7098.698005218747312 0.996784526379514 7101.064632303089638 0.998413783776125 7103.432048394620324 0.998595082136782 7105.800253756386155 0.996431447361871 7108.169248651513044 0.995590061244822 7110.539033343238771 0.994364551560284 7112.909608094863870 0.993554197594722 7115.280973169785284 0.992185284059880 7117.653128831482718 0.990208636541616 7120.026075343541379 0.987784251495515 7122.399812969616505 0.983775963356525 7124.774341973456103 0.980050374465266 7127.149662618889124 0.980352450387921 7129.525775169854569 0.983101322680604 7131.902679890357831 0.985700136100657 7134.280377044499801 0.987044483909067 7136.658866896461404 0.988264997317373 7139.038149710533617 0.989418281034060 7141.418225751074715 0.990188632730335 7143.799095282536655 0.992014538891587 7146.180758569454156 0.997524066784266 7148.563215876471077 1.002538464263440 7150.946467468295850 1.003627657109030 7153.330513609736045 1.002329079317800 7155.715354565685629 1.000172794858942 7158.100990601118610 0.997157679766174 7160.487421981120860 0.995855406361709 7162.874648970843737 0.995441712792676 7165.262671835535002 0.994496513782203 7167.651490840524275 0.991883540635983 7170.041106251248493 0.984545093460527 7172.431518333213717 0.976601455619153 7174.822727352022412 0.970667132441083 7177.214733573356170 0.960895332187668 7179.607537263008453 0.951434818221523 7182.001138686839113 0.945869337754553 7184.395538110803500 0.942870814387177 7186.790735800938819 0.941723442576273 7189.186732023392324 0.941375588394738 7191.583527044379480 0.938118402387223 7193.981121130211250 0.936161931255005 7196.379514547277722 0.937661602728427 7198.778707562082673 0.939110978071084 7201.178700441196270 0.945110579147658 7203.579493451283270 0.952034756157433 7205.981086859093011 0.954553122488835 7208.383480931482154 0.954152586437237 7210.786675935376479 0.955722801921757 7213.190672137798174 0.960085615934876 7215.595469805849461 0.970204962586208 7218.001069206746251 0.976760895798815 7220.407470607769028 0.981731161214651 7222.814674276295591 0.985592254360514 7225.222680479793780 0.988501613322823 7227.631489485812381 0.990569985708752 7230.041101562010226 0.995466441596873 7232.451516976117091 1.000722363292671 7234.862735995954608 1.002316842791323 7237.274758889429904 1.003052542947201 7239.687585924559244 0.997885921320408 7242.101217369428014 0.996435252185654 7244.515653492218007 0.994935273010491 7246.930894561191053 0.994952238723534 7249.346940844723576 0.996939116029657 7251.763792611255667 0.999557283867338 7254.181450129328368 0.999653204082505 7256.599913667562760 1.000364726204112 7259.019183494690878 0.999759358155804 7261.439259879513884 0.997051094543693 7263.860143090928432 0.998223027258684 7266.281833397913942 0.998480240250076 7268.704331069563523 0.998307240397005 7271.127636375034854 0.997381216834042 7273.551749583584751 0.995975393962684 7275.976670964550067 0.994333217573362 7278.402400787383158 0.993720374974648 7280.828939321602775 0.991346588325285 7283.256286836822255 0.989551924793955 7285.684443602739520 0.991856589897406 7288.113409889166178 0.994042656785973 7290.543185965979319 0.995729857968418 7292.973772103154261 0.995857932798341 7295.405168570748174 0.997354141642062 7297.837375638931007 1.000206926729817 7300.270393577940922 1.002385485098840 7302.704222658113395 1.002220754599435 7305.138863149873032 1.000734625384051 7307.574315323729934 0.998012205748931 7310.010579450302430 0.991773179377337 7312.447655800280700 0.983648168895993 7314.885544644450420 0.978733377043043 7317.324246253680030 0.976589537355091 7319.763760898952569 0.969625636893584 7322.204088851317465 0.960033663914446 7324.645230381921465 0.952752850448440 7327.087185761995897 0.951894032718495 7329.529955262883050 0.955211201758203 7331.973539155996150 0.958764849026406 7334.417937712842104 0.963992500385085 7336.863151205016038 0.971525141780241 7339.309179904220400 0.974699537259834 7341.756024082231306 0.974342367932661 7344.203684010917641 0.975303071671783 7346.652159962236510 0.976217995998686 7349.101452208255068 0.976510915802535 7351.551561021108682 0.976845550807972 7354.002486673032763 0.978757894952808 7356.454229436343667 0.977120031405127 7358.906789583473255 0.978662666987452 7361.360167386920693 0.981762018845650 7363.814363119282461 0.986388531125444 7366.269377053240532 0.990990131796991 7368.725209461588747 0.994550091409524 7371.181860617190978 1.000136349570869 7373.639330793006593 1.002575878105648 7376.097620262081364 1.000221494968219 7378.556729297573838 0.996979930251885 7381.016658172709867 0.999520759269631 7383.477407160816256 0.997150528716554 7385.938976535308029 0.993811889835646 7388.401366569686616 0.987868818815016