SN 1994I Ic in M51 (NGC 5194, the Whirlpool Galaxy, Sbc)


Geoffrey Chaucer with an astrolabe.


OBJ:  SN 1994I Ic in M51 (NGC 5194, the Whirlpool Galaxy, Sbc).  See
          Leda:  M51.
DISCOVERY:  1994apr02.17 UT by Puckett & Armstrong {sasaki1994}
MAX:  1994apr10  UT in some band (probably B or V) from {clocchiatti1996}.
           This day of the year 100.
SUPERNOVA of the YEAR:  9.

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

REF:
       {clocchiatti1996}
\bibitem[Clocchiatti et al.(1996)]{clocchiatti1996}
        Clocchiatti, A., Wheeler, J. C., Brotherton, M. S., Cochran, A. L.,
       Wills, D., Barker, E. S., \&~Turatto, M. 1996, \apj, 462, 462
%
        % ADS Reference
        % SN 1994I: Disentangling He i Lines in Type IC Supernovae.
        % We present spectroscopic observations of the Type Ic supernova SN 1994I
        % and analyze the evidence for helium in the optical portion of the spectrum.
        % The development of high-velocity He I {lambda}5876 starting approximately
        % 1 week after maximum light provides a pattern of evolution that can be used
        % to discriminate He I lines in other Type Ic supernovae. We show that,
        % contrary to earlier interpretation, SN 1987M displayed He I lines. The He
        % abundance is, however, probably consistent with previously derived upper
        % limits. We also identify He in SN 1988L. We conclude that most, and probably
        % all, Type Ic supernovae show evidence for He I lines in the optical
        % region of the spectra, which implies small amounts of high-velocity
        % helium in the outer portions of the ejecta. The implications of this
        % result for the progenitor stars are discussed.
        % Maximum light on April 10 in some band which the authors choose not to disclose.

     {iwamoto1994}
\bibitem[Iwamoto et al.(1994)]{iwamoto1994}
    Iwamoto, K., Nomoto, K., H\"oflich, P., Yamaoka, H., Kumagai, S., \&~Shigeyama, T.  1994, \apj, 437, L115

% ADS reference.
     % Theoretical light curves for the type IC supernova SN 1994I (in M51).
     % They don't give the dates of maxima!

     {sasaki1994}
\bibitem[Sasaki et al.(1994)]{sasaki1994}
    Sasaki, M., Kosugi, G., Ishigaki, T., Maemura, H., Aoki, K., \& Ohtani, H.  1994, PASJ, 46, L187

% ADS reference.
     % Optical spectra of the supernova 1994I in M51 around the maximum light phase.
     % They say V maximum is around April 9.


REP:  F_lambda (erg/cm2/s/A) ??? vs. lambda (ang)  (iformat = 1)
COR:  not deredshifted ??? (heliocentric velocity 463 +/- 3 and
        v_hel corrected for CMB radiation 640 km/s from
Leda:  M51
      not dereddened ??? (Galactic foreground .15/4... =.0375
     Schlegel et al. (1998)
      not smoothed ????, not photometric ????
      Derived maximum in some band is 2002apr10 (see above).

OBS:  ???? from Alessandro Clocchiatti it seems.  It is a two day combined spectrum.

Date: 1994may3.5 (123.5) with 1994apr10 (100) for some kind of maximum gives:
      day = 123.5 - 100 =  23.5


&specnamelist aname='sn1994I Ic 1994_05_03.5' ebv=.0375 epoch= 23.5 ! This parameter needs to updated for the particular spectrum. iformat=1 itick=2 itickln=2 t_rise=20.d0 ! default v_helio=463. ymin2=3.d-16 ymax2=8.d-15 ymin3=.15 ymax3=3.5 wlammin1=4166. wlammax1=9473. wlammin2=4166. wlammax2=9473. wlammin3=4268. wlammax3=9362. /
./figure/sn1994i_1994_05_03.5.gif Postscript plot of the spectrum.
./figure/sn1994i_1994_05_03.5.dif.gif Postscript plot of the spectrum with local normalization.
Information from somewhere. END: 4160.262005375053377 0.448989461970953 4161.648990528196009 0.476895594589149 4163.036438086785893 0.499080899825776 4164.424348204985108 0.509907050534739 4165.812721037000301 0.521831200909901 4167.201556737103601 0.538842399536871 4168.590855459607155 0.555673505541457 4169.980617358876771 0.563728796026021 4171.370842589325548 0.571786772054951 4172.761531305432072 0.574441886819830 4174.152683661713127 0.576259915937764 4175.544299812741883 0.585744473572881 4176.936379913136079 0.598326925437276 4178.328924117581664 0.625619387389566 4179.721932580800967 0.664448679248905 4181.115405457572706 0.701784719931686 4182.509342902722892 0.736968376400885 4183.903745071141202 0.770396608090224 4185.298612117758239 0.798846934320427 4186.693944197559176 0.826253015960480 4188.089741465580119 0.845508850443251 4189.486004076905374 0.864771104607339 4190.882732186684734 0.868338006667170 4192.279925950104371 0.871399046913332 4193.677585522409572 0.874689431727804 4195.075711058891102 0.878029491885562 4196.474302714904297 0.881965790687736 4197.873360645844514 0.886180957071558 4199.272885007162586 0.889015961654833 4200.672875954356641 0.890679148461918 4202.073333642990292 0.891164846005812 4203.474258228665349 0.889893384518934 4204.875649867039101 0.889575489770881 4206.277508713819770 0.891926508416124 4207.679834924775605 0.895141990697480 4209.082628655718509 0.904304628207229 4210.485890062512226 0.913470320438565 4211.889619301072344 0.931240761238366 4213.293816527376293 0.949087643602869 4214.698481897441525 0.971087818042521 4216.103615567342786 0.993779521751099 4217.509217693202118 1.013099196320973 4218.915288431204317 1.031152594076560 4220.321827937576927 1.046822736357428 4221.728836368601151 1.060878504426134 4223.136313880607304 1.071889530679376 4224.544260629990276 1.079424912210024 4225.952676773184066 1.085369141712246 4227.361562466679970 1.088217259796713 4228.770917867020216 1.090682495263566 4230.180743130796145 1.091736946947428 4231.591038414662762 1.092804410140274 4233.001803875316000 1.094001177800909 4234.413039669508180 1.095198344450593 4235.824745954037098 1.103214128783909 4237.236922885768763 1.111468785923247 4238.649570621608291 1.119048817914887 4240.062689318514458 1.126507228901473 4241.476279133497883 1.129566339073538 4242.890340223631938 1.130958559013136 4244.304872746030014 1.128117259744495 4245.719876857863710 1.122531501932880 4247.135352716350098 1.113898435032988 4248.551300478772646 1.102091518524916 4249.967720302455746 1.091673014387101 4251.384612344778361 1.083576584166940 4252.801976763169478 1.078332605730854 4254.219813715121745 1.081188244289234 4255.638123358169651 1.084615376635006 4257.056905849901341 1.091323641914929 4258.476161347956804 1.095002355635941 4259.895890010038784 1.020313841488231 4261.316091993890041 0.945600427019351 4262.736767457312453 0.941156849074678 4264.157916558152465 0.942183428387590 4265.579539454325641 0.937932620237408 4267.001636303785745 0.932520251968645 4268.424207264542929 0.925255246789050 4269.847252494656459 0.917243867510258 4271.270772152251084 0.910182647640773 4272.694766395491570 0.903732711046561 4274.119235382599982 0.896827248084390 4275.544179271849316 0.889474593351813 4276.969598221563501 0.884337924957400 4278.395492390130130 0.882490586397579 4279.821861935978632 0.882518638112159 4281.248707017593915 0.886881236416679 4282.676027793509093 0.892004584574398 4284.103824422326397 0.900111625767862 4285.532097062683533 0.908196658759821 4286.960845873278231 0.916074435306517 4288.390071012855515 0.923906308157679 4289.819772640227711 0.926471795233419 4291.249950914245346 0.929038137614059 4292.680605993817153 0.931299632209069 4294.111738037900977 0.933533257939768 4295.543347205521059 0.935201267690869 4296.975433655738925 0.936746442782327 4298.407997547676132 0.940476127936820 4299.841039040501528 0.945017736738673 4301.274558293451264 0.949642067122871 4302.708555465801510 0.954313829388808 4304.143030716883914 0.955686510680437 4305.577984206081055 0.954359570763693 4307.013416092840998 0.952832424942491 4308.449326536651824 0.951072705585801 4309.885715697058913 0.948966576305203 4311.322583733655847 0.946287322291244 4312.759930806104421 0.943623353986244 4314.197757074106448 0.940997711170169 4315.636062697418311 0.938922611872528 4317.074847835848232 0.938933865137721 4318.514112649269919 0.938645065271969 4319.953857297598006 0.936300151370559 4321.394081940803517 0.933763900935066 4322.834786738911134 0.927376940471338 4324.275971851995564 0.920987850665935 4325.717637440196995 0.917696151986429 4327.159783663694725 0.914504488705080 4328.602410682729897 0.908859292701958 4330.045518657587309 0.902912405544908 4331.489107748622700 0.894481951327418 4332.933178116230920 0.885486034154650 4334.377729920862294 0.878274453787177 4335.822763323019899 0.871686111124885 4337.268278483270478 0.863350877345731 4338.714275562223520 0.854144554259478 4340.160754720545810 0.845735939145110 4341.607716118950520 0.837867084613008 4343.055159918222671 0.832572089561299 4344.503086279182753 0.829597551185561 4345.951495362713104 0.827706970376228 4347.400387329743353 0.827103714126858 4348.849762341269525 0.827167361808907 4350.299620558328570 0.828274786194980 4351.749962142017466 0.830400626290404 4353.200787253479575 0.834650780335155 4354.652096053927380 0.838666842516066 4356.103888704612473 0.842012538324863 4357.556165366844652 0.844606485809559 4359.008926201984650 0.844124041942760 4360.462171371458680 0.843269742395089 4361.915901036734795 0.840032563807867 4363.370115359336523 0.836133395503968 4364.824814500844695 0.824052864524665 4366.279998622888343 0.811946292033280 4367.735667887162890 0.798479612205063 4369.191822455404690 0.785008442735340 4370.648462489409212 0.775816213841860 4372.105588151020129 0.766805949139176 4373.563199602150235 0.761123534585415 4375.021297004752341 0.755798593640115 4376.479880520835650 0.756795615623396 4377.938950312460292 0.758926037128032 4379.398506541756433 0.761840254924527 4380.858549370890614 0.764957508932135 4382.319078962090316 0.765464322880114 4383.780095477632130 0.765068647546715 4385.241599079860862 0.761887464916728 4386.703589931160423 0.757470043477263 4388.166068193973842 0.750989842200695 4389.629034030795083 0.743367175627632 4391.092487604185408 0.737076863154591 4392.556429076744280 0.731688250545526 4394.020858611133917 0.727624439004085 4395.485776370063832 0.724644099663938 4396.951182516310837 0.722300908856175 4398.417077212693584 0.720581511692375 4399.883460622088933 0.721265224194544 4401.350332907425582 0.724748172049217 4402.817694231695896 0.728739430843639 4404.285544757937714 0.733432270713132 4405.753884649244355 0.738076129172242 4407.222714068760069 0.742638873622395 4408.692033179698228 0.747269242035727 4410.161842145310402 0.752029325836607 4411.632141128910007 0.755456276450749 4413.102930293863210 0.755805976096620 4414.574209803586200 0.755697534426086 4416.045979821564288 0.754324651657988 4417.518240511321892 0.753463821748551 4418.990992036444368 0.754309123841794 4420.464234560566183 0.755256049268422 4421.937968247389108 0.756615573442159 4423.412193260658569 0.758065191939003 4424.886909764175471 0.759968868956085 4426.362117921793470 0.762034009999979 4427.837817897434434 0.765138266258319 4429.314009855059339 0.768309155873072 4430.790693958689189 0.772042819102851 4432.267870372396828 0.775814688232957 4433.745539260321493 0.780034607029623 4435.223700786643349 0.784265948546344 4436.702355115603496 0.788690576678133 4438.181502411492147 0.793137079419178 4439.661142838667729 0.798408197070978 4441.141276561530503 0.803680957577179 4442.621903744539850 0.808027779341207 4444.103024552205170 0.812376050287326 4445.584639149104987 0.817108604817419 4447.066747699857842 0.821851581029294 4448.549350369142303 0.829842459804303 4450.032447321687869 0.837985128136718 4451.516038722293160 0.846567863454206 4453.000124735795907 0.855183313484326 4454.484705527094775 0.863529929660129 4455.969781261138451 0.871854891848246 4457.455352102944744 0.880544043208251 4458.941418217572391 0.889276149333844 4460.427979770141064 0.898101657069807 4461.915036925822278 0.906941944752467 4463.402589849841206 0.917810379080831 4464.890638707490325 0.928985680384367 4466.379183664103948 0.939773185576030 4467.868224885075506 0.950498726061906 4469.357762535850270 0.959039925656451 4470.847796781940815 0.967181772148768 4472.338327788902461 0.975217843412794 4473.829355722349646 0.983235033741397 4475.320880747947740 0.991223605446494 4476.812903031430324 0.999208205755328 4478.305422738573725 1.009485595371037 4479.798440035212479 1.020278507182998 4481.291955087233873 1.033496538078174 4482.785968060593405 1.047284082371012 4484.280479121286589 1.060862250643138 4485.775488435370789 1.074393332547567 4487.270996168954298 1.086869982113230 4488.767002488212711 1.099089154644535 4490.263507559365280 1.110988472800827 4491.760511548690374 1.122810487200969 4493.258014622516384 1.135860315559705 4494.756016947241733 1.149223686317646 4496.254518689307588 1.163774971498509 4497.753520015212416 1.178629677450642 4499.253021091509254 1.193817596541384 4500.753022084817530 1.209092595882095 4502.253523161799421 1.222873935130212 4503.754524489178038 1.236292131933842 4505.256026233730154 1.246243942928031 4506.758028562285290 1.255370018695134 4508.260531641741181 1.261060165633602 4509.763535639039219 1.265959817896199 4511.267040721179001 1.269393710708532 4512.771047055211966 1.272505763450875 4514.275554808260495 1.276761680310009 4515.780564147485165 1.281256766685293 4517.286075240111131 1.288879690634470 4518.792088253411748 1.297112650458615 4520.298603354732222 1.306690305919924 4521.805620711456868 1.316511448119536 4523.313140491032755 1.324003511893026 4524.821162860958793 1.331119272382794 4526.329687988800288 1.335478268610141 4527.838716042167107 1.339440031429106 4529.348247188730056 1.342378977501217 4530.858281596208144 1.345190416983982 4532.368819432394957 1.350045167929711 4533.879860865120463 1.355116876262085 4535.391406062281021 1.362307645746036 4536.903455191819376 1.369679874761556 4538.416008421751030 1.377291205418915 4539.929065920132416 1.384919980316913 4541.442627855081810 1.391611355712014 4542.956694394767510 1.398266575667358 4544.471265707428756 1.404551112380141 4545.986341961345715 1.410850622060600 4547.501923324861309 1.421297585055242 4549.018009966368481 1.431778601941758 4550.534602054330207 1.443299486004834 4552.051699757253118 1.454644026550339 4553.569303243702961 1.462828480845638 4555.087412682301874 1.470878353479572 4556.606028241723834 1.477360600545965 4558.125150090714669 1.483535062629548 4559.644778398060225 1.487157916163704 4561.164913332607284 1.490521100763980 4562.685555063256288 1.492247028728050 4564.206703758976801 1.494113500847124 4565.728359588779313 1.496674901416043 4567.250522721738889 1.499535242066875 4568.773193326977889 1.503592759871072 4570.296371573692340 1.507950435912194 4571.820057631119198 1.513296057573509 4573.344251668557263 1.519192617164008 4574.868953855356267 1.526600544322881 4576.394164360937793 1.534576159462486 4577.919883354765261 1.543858678720130 4579.446111006361207 1.551371166546379 4580.972847485303646 1.555431963774539 4582.500092961237897 1.557318005791197 4584.027847603853843 1.555613949378200 4585.556111582902304 1.552797391528762 4587.084885068185031 1.548423892472035 4588.614168229575625 1.543205340425476 4590.143961236989526 1.536984661577607 4591.674264260404016 1.532269051709095 4593.205077469848220 1.529062189616383 4594.736401035421295 1.526634913548525 4596.268235127266053 1.524864534127256 4597.800579915586241 1.524332411541114 4599.333435570641996 1.524670725685972 4600.866802262746205 1.526054213692338 4602.400680162281787 1.528043812509798 4603.935069439676226 1.529008605227337 4605.469970265416123 1.529491560288385 4607.005382810041738 1.531768316958688 4608.541307244163363 1.534714132362986 4610.077743738435856 1.536944044943249 4611.614692463572283 1.538970350568419 4613.152153590342095 1.537394540512622 4614.690127289582961 1.535075447818622 4616.228613732176200 1.532099999817132 4617.767613089064071 1.529035211593098 4619.307125531242491 1.525497087682179 4620.847151229777410 1.521924771830327 4622.387690355778432 1.519069328241887 4623.928743080417007 1.516382161614353 4625.470309574915518 1.517097571044160 4627.012390010569106 1.517690604030879 4628.554984558714750 1.517210216578010 4630.098093390753093 1.515943730839664 4631.641716678134799 1.510579808446070 4633.185854592383293 1.504506127398651 4634.730507305064748 1.495930069823221 4636.275674987808088 1.486362637947169 4637.821357812292263 1.474270595983306 4639.367555950270798 1.462304562314415 4640.914269573537240 1.450582682832958 4642.461498853950616 1.440347482401457 4644.009243963419067 1.432277728428840 4645.557505073923494 1.424842730555334 4647.106282357489363 1.418118190187244 4648.655575986203075 1.412734593374360 4650.205386132207423 1.408502547737257 4651.755712967698855 1.405180583027368 4653.306556664945674 1.402452019525903 4654.857917396258927 1.398478801877192 4656.409795334012415 1.393901879053428 4657.962190650632692 1.388418730775602 4659.515103518616343 1.382621503645316 4661.068534110505425 1.372904927850152 4662.622482598902934 1.362292153924383 4664.176949156465525 1.345878040482965 4665.731933955920795 1.328716613735385 4667.287437170039993 1.310774371099536 4668.843458971657128 1.292870582849695 4670.399999533658956 1.277098150189468 4671.957059029003176 1.261760810579132 4673.514637630692050 1.249961565184152 4675.072735511790597 1.239284506340100 4676.631352845414767 1.233478569463399 4678.190489804754179 1.228531151524251 4679.750146563042108 1.225956243254223 4681.310323293572765 1.223482139448575 4682.871020169695839 1.221199711636061 4684.432237364830144 1.218471605117946 4685.993975052440874 1.215144116480640 4687.556233406052343 1.210480184163605 4689.119012599246162 1.204523800066182 4690.682312805673064 1.196066990143837 4692.246134199029257 1.185883557611559 4693.810476953070975 1.175884316628456 4695.375341241609931 1.165971555332730 4696.940727238530599 1.160241254486036 4698.506635117758378 1.155816731677345 4700.073065053284154 1.153454856686210 4701.640017219155197 1.151459592327413 4703.207491789472442 1.149206433016666 4704.775488938410490 1.146827349741905 4706.344008840183960 1.140476176832655 4707.913051669075685 1.133563522413365 4709.482617599416699 1.122428213079809 4711.052706805614434 1.111403622085151 4712.623319462117252 1.100808902424057 4714.194455743438084 1.091704984336569 4715.766115824143526 1.086054536521622 4717.338299878871112 1.082077057516654 4718.911008082303852 1.080652191550476 4720.484240609186600 1.078644171140780 4722.057997634318781 1.076032641312219 4723.632279332570761 1.072014174602574 4725.207085878859289 1.067009760412466 4726.782417448162050 1.061693414845941 4728.358274215510392 1.056233285139528 4729.934656356011146 1.050230242564718 4731.511564044811166 1.044077065758530 4733.088997457123696 1.038708763349473 4734.666956768213822 1.033440577216866 4736.245442153419390 1.030680141214865 4737.824453788123719 1.027727297854144 4739.403991847771977 1.022484265871118 4740.984056507863897 1.016529027632256 4742.564647943971977 1.007607566972631 4744.145766331712366 0.998552330177087 4745.727411846764880 0.989186521722872 4747.309584664868453 0.979284805309635 4748.892284961814767 0.968595906827506 4750.475512913469174 0.957482799651049 4752.059268695740684 0.945965220939610 4753.643552484602878 0.934960623490107 4755.228364456081181 0.924268111016987 4756.813704786277412 0.914657654929725 4758.399573651334322 0.905444312773603 4759.985971227459231 0.897835137398479 4761.572897690914942 0.890525846549859 4763.160353218036107 0.882948021112989 4764.748337985201033 0.875375125234850 4766.336852168852602 0.868081514654570 4767.925895945487355 0.860961527667373 4769.515469491676413 0.854631258431434 4771.105572984033643 0.848340114555743 4772.696206599237485 0.842144192730732 4774.287370514020040 0.836940074205098 4775.879064905186169 0.833137730356686 4777.471289949587117 0.830190232817833 4779.064045824135974 0.827992752297618 4780.657332705801309 0.824921166175174 4782.251150771624452 0.821382451668643 4783.845500198692207 0.817467394971763 4785.440381164153223 0.813440567608770 4787.035793845211629 0.810403056638097 4788.631738419146131 0.807501062081929 4790.228215063279094 0.805710995261044 4791.825223954996545 0.804371783891275 4793.422765271738172 0.805780524139027 4795.020839191019149 0.807059770501611 4796.619445890399220 0.807981314437960 4798.218585547499970 0.808675479288726 4799.818258340003922 0.809017657342626 4801.418464445647260 0.811411797933260 4803.019204042241654 0.815699529702885 4804.620477307641522 0.819644928165206 4806.222284419765856 0.823405616395244 4807.824625556588217 0.829305002746480 4809.427500896156744 0.835813632361766 4811.030910616563233 0.845913733587701 4812.634854895964963 0.856208982750708 4814.239333912573784 0.862765331399609 4815.844347844673393 0.868724056880978 4817.449896870593875 0.871863878587987 4819.055981168730796 0.874447046139195 4820.662600917531563 0.875788910279473 4822.269756295520892 0.876001895492060 4823.877447481265335 0.874809498752919 4825.485674653397837 0.874538897145555 4827.094437990605002 0.874929524490990 4828.703737671648923 0.877271328121869 4830.313573875335351 0.880371245901353 4831.923946780535516 0.883389515025560 4833.534856566173403 0.886395278800269 4835.146303411250301 0.887345790170526 4836.758287494810247 0.887990805453185 4838.370808995962761 0.886779253406324 4839.983868093871024 0.884809213695340 4841.597464967775522 0.880926255581268 4843.211599796958581 0.876033214610596 4844.826272760768916 0.869788356756639 4846.441484038608905 0.864034879346828 4848.057233809957324 0.858647900937525 4849.673522254337513 0.856545530501994 4851.290349551335567 0.855729402340263 4852.907715880599426 0.858252012483304 4854.525621421832511 0.861302906757654 4856.144066354811002 0.865046021320491 4857.763050859357463 0.868517789934417 4859.382575115358122 0.870597337962659 4861.002639302757416 0.871307172697779 4862.623243601569811 0.869026534000977 4864.244388191859798 0.866061608353651 4865.866073253752802 0.862312388721903 4867.488298967431547 0.859693779492778 4869.111065513154244 0.857771294326102 4870.734373071221853 0.857242476675064 4872.358221822003543 0.857123088935355 4873.982611945920326 0.857615443607207 4875.607543623470519 0.858448226937232 4877.233017035197918 0.862457545593883 4878.859032361709069 0.866905626713824 4880.485589783668729 0.872726466708808 4882.112689481815323 0.879218307638166 4883.740331636932751 0.886714218009643 4885.368516429868578 0.895300011526081 4886.997244041529484 0.904742694986158 4888.626514652894002 0.914306020986579 4890.256328444987048 0.923918016443743 4891.886685598899930 0.935932620933847 4893.517586295777619 0.948280918541325 4895.149030716841480 0.960870985820221 4896.781019043358356 0.973029670702342 4898.413551456660571 0.983555483940183 4900.046628138139567 0.993472072159215 4901.680249269244086 1.002372848273266 4903.314415031497447 1.010423119138260 4904.949125606469352 1.017754662936225 4906.584381175793169 1.024640209113952 4908.220181921158655 1.031344439651802 4909.856528024332874 1.040318333100416 4911.493419667126545 1.049831045818638 4913.130857031415871 1.063735879698055 4914.768840299133444 1.078054543856410 4916.407369652289162 1.093838024969505 4918.046445272933852 1.109321309050712 4919.686067343190189 1.124333850413970 4921.326236045230871 1.137233664786679 4922.966951561307724 1.148501164255498 4924.608214073718045 1.157913307556535 4926.250023764823709 1.166669739739557 4927.892380817042977 1.175407622248392 4929.535285412870508 1.183870410940356 4931.178737734846436 1.189552450283471 4932.822737965575470 1.194188026902237 4934.467286287719617 1.195958336297963 4936.112382884017279 1.197049264870647 4937.758027937250517 1.197297466478142 4939.404221630271422 1.198236929886450 4941.050964145982107 1.199589210199752 4942.698255667366539 1.202351703608614 4944.346096377450522 1.205451925889879 4945.994486459328073 1.211780454712562 4947.643426096148687 1.217420914560545 4949.292915471138258 1.219577469384727 4950.942954767568153 1.219321019899564 4952.593544168775225 1.214706744536242 4954.244683858159988 1.209711150110718 4955.896374019174800 1.204392648923164 4957.548614835353874 1.199083832865291 4959.201406490272348 1.193777524572945 4960.854749167574482 1.186152243509546 4962.508643050960018 1.178333857751387 4964.163088324204182 1.170709058160657 4965.818085171131315 1.163354211246046 4967.473633775627604 1.156651521143001 4969.129734321639262 1.149871731421782 4970.786386993186170 1.143010085650366 4972.443591974338233 1.135513177421179 4974.101349449227200 1.127711159166673 4975.759659602043030 1.117313695086770 4977.418522617054805 1.106161287894993 4979.077938678573446 1.089666957547691 4980.737907970979904 1.073083036529717 4982.398430678708792 1.056252596990380 4984.059506986273846 1.041487059517091 4985.721137078233369 1.029197850437294 4987.383321139213876 1.015729773064503 4989.046059353896453 1.001630680160534 4990.709351907040400 0.988991815439201 4992.373198983450493 0.976700560361497 4994.037600767998811 0.966198354037019 4995.702557445614730 0.955203913711458 4997.368069201302205 0.942744021467507 4999.034136220114306 0.932121302222499 5000.700758687167763 0.923725879745892 5002.367936787644794 0.915861602375994 5004.035670706781275 0.908276098368849 5005.703960629891299 0.899524121612872 5007.372806742336252 0.890682790484159 5009.042209229542095 0.883388745879685 5010.712168276992998 0.875671803258764 5012.382684070251344 0.866812105385407 5014.053756794924084 0.857724844474722 5015.725386636685471 0.848387692678823 5017.397573781267965 0.841657538675672 5019.070318414480425 0.836128357028830 5020.743620722177184 0.831315424213949 5022.417480890281695 0.826508620224644 5024.091899104772892 0.821029141431173 5025.766875551708836 0.816349528176399 5027.442410417190331 0.813411112485370 5029.118503887390034 0.811827090510726 5030.795156148533351 0.811457062148395 5032.472367386927544 0.811705112397260 5034.150137788923530 0.812169534455272 5035.828467540939528 0.816991402635247 5037.507356829451965 0.822184519150998 5039.186805841014575 0.828184047412853 5040.866814762227477 0.832577134991353 5042.547383779758093 0.834428016166033 5044.228513080332050 0.836791741679211 5045.910202850750466 0.839490651074290 5047.592453277863569 0.840294454676697 5049.275264548587074 0.840711635129552 5050.958636849896720 0.841542094373456 5052.642570368841916 0.844062087881354 5054.327065292523002 0.851284814626608 5056.012121808105803 0.858551240102673 5057.697740102817988 0.865863727423173 5059.383920363945435 0.873683715019216 5061.070662778852238 0.881713500500192 5062.757967534949785 0.892366172244961 5064.445834819714946 0.902292747160807 5066.134264820683711 0.907337643452918 5067.823257725471194 0.911759956081857 5069.512813721736165 0.915183078865363 5071.202932997207427 0.920142844446776 5072.893615739671986 0.926080604795265 5074.584862136993252 0.932172899139939 5076.276672377081923 0.938455729754330 5077.969046647916912 0.946899846975458 5079.661985137535339 0.955509920177213 5081.355488034050722 0.964505414224189 5083.049555525626602 0.972966329522953 5084.744187800491090 0.980953845050571 5086.439385046932330 0.986533242230329 5088.135147453314858 0.991364099469271 5089.831475208053234 0.992701263590354 5091.528368499627504 0.994566976016211 5093.225827516575919 0.998243359036113 5094.923852447514946 1.003127252960552 5096.622443481110167 1.009395675893936 5098.321600806092647 1.013831748124522 5100.021324611253476 1.017492081776337 5101.721615085461053 1.019835106228135 5103.422472417631070 1.021990897270494 5105.123896796747431 1.023669753003157 5106.825888411852247 1.024813931220099 5108.528447452065848 1.025213633248124 5110.231574106557673 1.026168051127032 5111.935268564562648 1.027410053584707 5113.639531015380271 1.029443716003513 5115.344361648368249 1.031319591264585 5117.049760652962505 1.031724140152939 5118.755728218646254 1.031860823318560 5120.462264534971837 1.031572813540443 5122.169369791548888 1.032272327468778 5123.877044178067081 1.033548059101381 5125.585287884261561 1.037055765054541 5127.294101099937507 1.040811692237865 5129.003484014958303 1.044113110351914 5130.713436819265553 1.046640521772685 5132.423959702849061 1.047860593046480 5134.135052855766844 1.049364925792591 5135.846716468135128 1.051043060273549 5137.558950730148354 1.054470115911940 5139.271755832050985 1.057923289548829 5140.985131964152970 1.059686239079800 5142.699079316826101 1.060612851074843 5144.413598080518568 1.060136600501532 5146.128688445727676 1.059394388897230 5147.844350603018029 1.058493498703870 5149.560584743013351 1.057045775293765 5151.277391056418310 1.055743033269479 5152.994769733983048 1.055841214893260 5154.712720966526831 1.056908598286329 5156.431244944929858 1.059483008092651 5158.150341860147819 1.060694137228641 5159.870011903186423 1.061166112560395 5161.590255265120504 1.056719858739003 5163.311072137088559 1.051969160439556 5165.032462710287291 1.048247869962083 5166.754427175992532 1.046565866734111 5168.476965725527407 1.047638350083657 5170.200078550286889 1.048947286516593 5171.923765841721433 1.050364453365314 5173.648027791363347 1.056117393015387 5175.372864590790414 1.062080026818624 5177.098276431653176 1.067943895610395 5178.824263505657655 1.072091160871459 5180.550826004589908 1.074345607554625 5182.277964120286924 1.077672246626754 5184.005678044652086 1.081390631980125 5185.733967969646983 1.087380927529817 5187.462834087316878 1.093699317742133 5189.192276589750691 1.100884343040117 5190.922295669110099 1.107620543971896 5192.652891517613170 1.113977615956366 5194.384064327558917 1.120225333654161 5196.115814291295464 1.126210155951591 5197.848141601238240 1.129488944776131 5199.581046449864516 1.130905745539363 5201.314529029727964 1.128895264954143 5203.048589533434097 1.126643255899091 5204.783228153654818 1.124245479715304 5206.518445083123879 1.124960879424774 5208.254240514652338 1.127389612928358 5209.990614641102184 1.136381848024075 5211.727567655403618 1.146662409824831 5213.465099750545050 1.158540938880856 5215.203211119597654 1.166006423560866 5216.941901955678986 1.171776631043262 5218.681172451977545 1.170950259267252 5220.421022801744584 1.168892535838185 5222.161453198292293 1.163637180088482 5223.902463835011986 1.160566132675924 5225.644054905344092 1.159237220600019 5227.386226602799070 1.164109358646259 5229.128979120945587 1.170306902659521 5230.872312653434165 1.177337084799604 5232.616227393962617 1.183937934798586 5234.360723536299702 1.189891469394578 5236.105801274272380 1.195465662682175 5237.851460801789472 1.200864072986570 5239.597702312807087 1.209260335443108 5241.344526001354097 1.218271007868260 5243.091932061513944 1.228796351350701 5244.839920687454651 1.237715455234856 5246.588492073392445 1.245248961040554 5248.337646413612674 1.250177095866088 5250.087383902459806 1.254197982776067 5251.837704734360159 1.255426539851745 5253.588609103789167 1.256824503531299 5255.340097205291386 1.258476021499217 5257.092169233470486 1.261199011665528 5258.844825383013813 1.264403651327330 5260.598065848653277 1.268751797531510 5262.351890825193550 1.273141168318545 5264.106300507501146 1.277578981009940 5265.861295090518979 1.280994195010056 5267.616874769240894 1.283623289488921 5269.373039738733496 1.284054204620740 5271.129790194117959 1.284108872835641 5272.887126330601859 1.284077479485731 5274.645048343438248 1.284504702052200 5276.403556427952935 1.285494172383673 5278.162650779533578 1.286531645583965 5279.922331593632407 1.287658184060696 5281.682599065778049 1.290379591048960 5283.443453391550975 1.293161477302787 5285.204894766602592 1.296058923938974 5286.966923386642520 1.297755296011888 5288.729539447462230 1.298780315428940 5290.492743144902306 1.300209134757843 5292.256534674876093 1.302453679660056 5294.020914233353324 1.307157119491200 5295.785882016387404 1.310748277745239 5297.551438220079945 1.313413188356487 5299.317583040604404 1.314886461168666 5301.084316674194270 1.316468883914507 5302.851639317163063 1.319823485261878 5304.619551165875237 1.323096975697729 5306.388052416765277 1.326274449009277 5308.157143266328603 1.330243428101161 5309.926823911140673 1.334439834633180 5311.697094547826055 1.338417196692857 5313.467955373083896 1.341456549705804 5315.239406583670643 1.342964239553222 5317.011448376424596 1.344493217400764 5318.784080948233168 1.346032084567445 5320.557304496056531 1.347436484920134 5322.331119216913066 1.348549960026155 5324.105525307905737 1.349015621984670 5325.880522966184799 1.349628868283860 5327.656112388971451 1.350331929369898 5329.432293773553283 1.348529657747382 5331.209067317279732 1.346934804083628 5332.986433217579361 1.346495526485674 5334.764391671933481 1.348410734331952 5336.542942877891619 1.352151205952260 5338.322087033065145 1.355542728944061 5340.101824335149104 1.358839691837681 5341.882154981885833 1.361942446258374 5343.663079171088611 1.363816476561182 5345.444597100634383 1.364525449353030 5347.226708968479215 1.363585454646135 5349.009414972631930 1.361820095628041 5350.792715311167740 1.357297596190904 5352.576610182228251 1.350757595747663 5354.361099784034195 1.341958674210223 5356.146184314857237 1.333287841821265 5357.931863973039071 1.325044614198836 5359.718138956983239 1.319833162562262 5361.505009465176954 1.315759580676736 5363.292475696154725 1.313142494610693 5365.080537848523818 1.310558735140060 5366.869196120953347 1.307862112556907 5368.658450712192462 1.303894642287350 5370.448301821043060 1.297699370017291 5372.238749646377983 1.288351584868254 5374.029794387128277 1.279007649028321 5375.821436242312302 1.270028489448493 5377.613675410993892 1.265976865637239 5379.406512092312369 1.262613478189262 5381.199946485465262 1.260292783168769 5382.993978789734683 1.259755998966406 5384.788609204451859 1.259944145414210 5386.583837929018955 1.261052104575808 5388.379665162907258 1.261717162531104 5390.176091105648084 1.261688945390966 5391.973115956854599 1.258256427627072 5393.770739916189996 1.253619611397745 5395.568963183390224 1.250739311466322 5397.367785958253990 1.247843388359564 5399.167208440660943 1.244923604128585 5400.967230830539847 1.242711640172504 5402.767853327895864 1.240760057618451 5404.569076132790542 1.238706047809836 5406.370899445370924 1.237421815269735 5408.173323465834983 1.237296801002864 5409.976348394451634 1.238584027992409 5411.779974431551636 1.240407788982083 5413.584201777548515 1.242630095134525 5415.389030632906724 1.244812234063077 5417.194461198163481 1.246937730893544 5419.000493673915116 1.248875320503559 5420.807128260844365 1.251076970821494 5422.614365159682166 1.256230191032707 5424.422204571232214 1.262117330297810 5426.230646696361873 1.268932361313866 5428.039691736017630 1.274833892867504 5429.849339891201453 1.280538564113253 5431.659591362983520 1.286591834902757 5433.470446352497675 1.293198208656221 5435.281905060961435 1.300415512022696 5437.093967689643250 1.307511154776600 5438.906634439882509 1.314302450650924 5440.719905513086815 1.319718198404496 5442.533781110723794 1.324353629192067 5444.348261434349297 1.328259703596720 5446.163346685563738 1.333512073719927 5447.979037066045748 1.339059798868758 5449.795332777530348 1.344919828554137 5451.612234021842596 1.350473956438035 5453.429741000852118 1.355794726290901 5455.247853916505846 1.362049782757340 5457.066572970808920 1.368402275001201 5458.885898365853791 1.374791361429669 5460.705830303782932 1.380941036315852 5462.526368986808848 1.386947835616186 5464.347514617209526 1.390489651143537 5466.169267397344811 1.393136574664592 5467.991627529627294 1.394107306355533 5469.814595216540511 1.393233601432051 5471.638170660630749 1.391367359426495 5473.462354064528881 1.386198673285706 5475.287145630916712 1.380330320595144 5477.112545562547893 1.373441270512507 5478.938554062240655 1.365717938405361 5480.765171332895079 1.357754493579213 5482.592397577462179 1.349908277817390 5484.420232998969368 1.342197120341391 5486.248677800501355 1.334628829728127 5488.077732185231071 1.327557169694938 5489.907396356381469 1.320253341411748 5491.737670517248262 1.311750307344494 5493.568554871189917 1.301601555146080 5495.400049621647668 1.290230494795996 5497.232154972117314 1.276562223253501 5499.064871126165599 1.262412437760878 5500.898198287427476 1.247509176019496 5502.732136659599746 1.232916542099628 5504.566686446465610 1.218486974390288 5506.401847851858292 1.204375852679015 5508.237621079682867 1.190313286663311 5510.074006333910802 1.176324319620847 5511.911003818595418 1.162147252456532 5513.748613737840969 1.147874503640773 5515.586836295828107 1.133374213249195 5517.425671696795689 1.118541984125696 5519.265120145071705 1.103395537409554 5521.105181845034167 1.085399735332658 5522.945857001133845 1.066963216231909 5524.787145817883356 1.048327734070937 5526.629048499882629 1.031112583410040 5528.471565251782522 1.014739554606657 5530.314696278306656 1.001005598409200 5532.158441784240495 0.987862688207833 5534.002801974457725 0.975686163470966 5535.847777053881146 0.961944840067709 5537.693367227507224 0.947824142929113 5539.539572700396093 0.934537034116704 5541.386393677693377 0.921382718408877 5543.233830364596542 0.908355564421101 5545.081882966374906 0.893565446509171 5546.930551688361447 0.878476329235496 5548.779836735978279 0.863178582283933 5550.629738314692077 0.848932575522097 5552.480256630050462 0.835349127430616 5554.331391887658356 0.824843140033698 5556.183144293210717 0.814524028860816 5558.035514052451617 0.804473259706842 5559.888501371199709 0.794141353202391 5561.742106455342764 0.784018566427269 5563.596329510830401 0.775199699589216 5565.451170743699549 0.766126330506878 5567.306630360038071 0.756854854678074 5569.162708566007495 0.747340351773801 5571.019405567834838 0.738278143339440 5572.876721571828966 0.730142307641120 5574.734656784352410 0.722539735337601 5576.593211411844095 0.715106489681156 5578.452385660804794 0.707395840240875 5580.312179737818951 0.699459859563854 5582.172593849525583 0.691297962623852 5584.033628202636464 0.683545284092000 5585.895283003928853 0.675620999069101 5587.757558460264590 0.667127508702408 5589.620454778556450 0.657413842345505 5591.483972165794512 0.647155189899786 5593.348110829028883 0.637678293710170 5595.212870975397891 0.628434278814286 5597.078252812091705 0.619467362741719 5598.944256546375073 0.609150139370479 5600.810882385575496 0.598529342121735 5602.678130537107791 0.587706198126599 5604.546001208438611 0.577468223934756 5606.414494607108281 0.567591935130262 5608.283610940721701 0.558627474291029 5610.153350416971080 0.549326323033131 5612.023713243597740 0.539591396020255 5613.894699628420312 0.529330128148744 5615.766309779326548 0.519572002635224 5617.638543904266953 0.511803836957659 5619.511402211279346 0.505400373391238 5621.384884908454296 0.499746471345975 5623.258992203955131 0.493107504714491 5625.133724306009753 0.486212709378202 5627.009081422935196 0.478989238249672 5628.885063763097605 0.473547363965435 5630.761671534939524 0.468894515171067 5632.638904946967159 0.465641060461401 5634.516764207773122 0.462156988280168 5636.395249526003681 0.458540767331512 5638.274361110377868 0.454811948823228 5640.154099169682013 0.451866667826261 5642.034463912787032 0.449844446783991 5643.915455548614773 0.449266648427567 5645.797074286166207 0.448779709247521 5647.679320334504155 0.447942444696955 5649.562193902777835 0.446368071068528 5651.445695200189220 0.444441363649180 5653.329824436017589 0.442423257144470 5655.214581819604973 0.440762761264289 5657.099967560378900 0.439456584648485 5658.985981867821465 0.439160072794365 5660.872624951491161 0.439283873170992 5662.759897021007419 0.440080724071215 5664.647798286079706 0.441175138213388 5666.536328956468424 0.442447661645694 5668.425489242010372 0.444124349364086 5670.315279352606922 0.446395364409567 5672.205699498246759 0.449121356541728 5674.096749888969498 0.452651035615078 5675.988430734892063 0.456421179791139 5677.880742246202317 0.460532050154444 5679.773684633150879 0.463914133497132 5681.667258106075678 0.466908730457636 5683.561462875368306 0.469170151882717 5685.456299151495841 0.472361833400113 5687.351767144990845 0.476029852587354 5689.247867066470462 0.479419079344681 5691.144599126608227 0.482144339261522 5693.041963536152252 0.484182654457569 5694.939960505914314 0.485757692163220 5696.838590246794411 0.487578580706430 5698.737852969746200 0.489975535939996 5700.637748885797919 0.494049531771148 5702.538278206045106 0.498778521788034 5704.439441141667885 0.504039499472779 5706.341237903900947 0.509562030654531 5708.243668704055381 0.515284575515036 5710.146733753505941 0.521913767986845 5712.050433263717423 0.529576067765078 5713.954767446203732 0.538464156624615 5715.859736512559721 0.548138296823278 5717.765340674442086 0.557385815131386 5719.671580143596657 0.565463476373352 5721.578455131821102 0.574246459978561 5723.485965850990397 0.583603462642560 5725.394112513045002 0.594548696850968 5727.302895330012689 0.604864615107805 5729.212314513975798 0.614524388229670 5731.122370277089431 0.616887403421815 5733.033062831578718 0.618682449478977 5734.944392389752466 0.619819810319717 5736.856359163976776 0.628415616841060 5738.768963366690514 0.638321010019486 5740.682205210406210 0.649131260123016 5742.596084907700060 0.658397842404577 5744.510602671238303 0.667568187516673 5746.425758713737196 0.678259723770432 5748.341553247993033 0.693948939698442 5750.257986486866685 0.712652617954063 5752.175058643305420 0.733204354774191 5754.092769930312897 0.749703747018325 5756.011120560966447 0.762306170857482 5757.930110748412517 0.772356300404927 5759.849740705882141 0.782957369935313 5761.770010646661831 0.794647460843289 5763.690920784115406 0.806382917209115 5765.612471331671259 0.817864791649915 5767.534662502846913 0.828625516150919 5769.457494511213554 0.839108047813557 5771.380967570418761 0.849627013099283 5773.305081894175601 0.860970078922205 5775.229837696287177 0.872925623066073 5777.155235190608437 0.885285866018793 5779.081274591073452 0.897366709839278 5781.007956111679960 0.909413195913229 5782.935279966514827 0.921422947788027 5784.863246369721310 0.933643308592384 5786.791855535515424 0.945897624498926 5788.721107678184126 0.958179996129108 5790.651003012097135 0.971035415509897 5792.581541751684199 0.984093660179875 5794.512724111447824 0.997363060179418 5796.444550305965095 1.011282448461105 5798.377020549875851 1.025739429528421 5800.310135057912703 1.041573485730374 5802.243894044860099 1.057475717988374 5804.178297725578886 1.073318057415322 5806.113346314996306 1.087860538913206 5808.049040028132367 1.101316295744635 5809.985379080056191 1.113791029708912 5811.922363685916935 1.125485581994970 5813.859994060929239 1.137301448785927 5815.798270420396875 1.149298122515050 5817.737192979679094 1.160712241090660 5819.676761954210633 1.171803810690735 5821.616977559493534 1.182415462349107 5823.557840011118969 1.193915429999231 5825.499349524732679 1.206423128732110 5827.441506316057712 1.221212776945988 5829.384310600884419 1.235681390933115 5831.327762595090462 1.249417620484244 5833.271862514608074 1.260228862197238 5835.216610575451341 1.269517678121049 5837.162006993696195 1.277763242983298 5839.108051985507700 1.284482567024996 5841.054745767110035 1.289706245325136 5843.002088554800139 1.293693251134592 5844.950080564945893 1.296133384352803 5846.898722014000668 1.299282175095798 5848.848013118475137 1.303211984219010 5850.797954094957277 1.308067625554529 5852.748545160100548 1.311931402672704 5854.699786530650272 1.314236092634230 5856.651678423404519 1.314848796664005 5858.604221055240487 1.314937349757712 5860.557414643106313 1.314492923510877 5862.511259404018347 1.311693582951156 5864.465755555082069 1.307339204017983 5866.420903313458439 1.300334792187211 5868.376702896385723 1.294715290521086 5870.333154521169490 1.289880154915253 5872.290258405203531 1.286161399400923 5874.248014765938933 1.279694070329125 5876.206423820905002 1.270533549848438 5878.165485787696525 1.253270423578243 5880.125200883996513 1.226998806705494 5882.085569327548910 1.194356493821655 5884.046591336169513 1.154132750307823 5886.008267127745967 1.116288782959773 5887.970596920252319 1.080824425644776 5889.933580931719916 1.060358476119515 5891.897219380258321 1.049882154532421 5893.861512484043487 1.049134434490982 5895.826460461341412 1.068266877154572 5897.792063530474479 1.095988894083062 5899.758321909843289 1.133462464890931 5901.725235817914836 1.179248725189709 5903.692805473247063 1.223217641082939 5905.661031094452483 1.263736562413853 5907.629912900221825 1.293220084323526 5909.599451109315851 1.316711282954699 5911.569645940582632 1.332267853951429 5913.540497612928448 1.338568329103920 5915.512006345334157 1.342207588561416 5917.484172356858835 1.343800804816449 5919.456995866625221 1.344264616522022 5921.430477093847003 1.344078517147637 5923.404616257794260 1.342958108048069 5925.379413577817104 1.340653756004859 5927.354869273329314 1.337814121745323 5929.330983563839254 1.334429174327087 5931.307756668909860 1.332942423156721 5933.285188808181374 1.332063764273367 5935.263280201363159 1.331001340189249 5937.242031068253709 1.331242305073109 5939.221441628709727 1.332573762886997 5941.201512102666129 1.336178324082371 5943.182242710123319 1.338973387103937 5945.163633671176285 1.341020373397476 5947.145685205970949 1.341274229282380 5949.128397534737815 1.341928677013486 5951.111770877771050 1.342918731071371 5953.095805455456684 1.344641400165980 5955.080501488238951 1.345915520933654 5957.065859196638485 1.346788767577344 5959.051878801244129 1.346680588889167 5961.038560522737498 1.346644991129163 5963.025904581854775 1.346733287282044 5965.013911199412178 1.347422024487481 5967.002580596294138 1.347579032397728 5968.991912993473306 1.347238810863578 5970.981908611984181 1.345549397802889 5972.972567672934019 1.342551577675456 5974.963890397502837 1.338536577554803 5976.955877006960691 1.333148110876129 5978.948527722634026 1.326873906341344 5980.941842765925685 1.319878708957207 5982.935822358318546 1.311755600746128 5984.930466721358243 1.303447379471264 5986.925776076684997 1.295224852574757 5988.921750645991779 1.289300344440525 5990.918390651056143 1.285235441851762 5992.915696313718399 1.282405455654179 5994.913667855915264 1.278695464499408 5996.912305499636204 1.274229267042043 5998.911609466953450 1.269227631648580 6000.911579980005627 1.264209563033351 6002.912217261022306 1.258879223662509 6004.913521532293089 1.253319618432829 6006.915493016182154 1.247641949975310 6008.918131935126439 1.241236886699753 6010.921438511652923 1.234261426102414 6012.925412968345881 1.226585838352147 6014.930055527868717 1.220781528198598 6016.935366412952135 1.216313456870042 6018.941345846424156 1.212833577186278 6020.947994051161004 1.208703001525212 6022.955311250127124 1.203945141870079 6024.963297666348808 1.197628973989970 6026.971953522950571 1.191722928259951 6028.981279043107861 1.186407011169498 6030.991274450080709 1.183185909627908 6033.001939967194630 1.180089540140261 6035.013275817869726 1.176830678207625 6037.025282225582487 1.172423730487275 6039.037959413888530 1.168034088697105 6041.051307606411683 1.163757674748451 6043.065327026870364 1.159933663708472 6045.080017899037557 1.155529390718848 6047.095380446769923 1.150628220256178 6049.111414893994151 1.144816332476933 6051.128121464709693 1.138285249008356 6053.145500383006947 1.131733578554934 6055.163551873030883 1.125945153865293 6057.182276159012872 1.121010147572333 6059.201673465247950 1.116197969029533 6061.221744016124831 1.111003782134499 6063.242488036091345 1.105989400686175 6065.263905749673540 1.101070407758276 6067.285997381467496 1.096259967533811 6069.308763156162968 1.092057683456281 6071.332203298504282 1.088222441290128 6073.356318033319440 1.084839404120122 6075.381107585502832 1.082275463209956 6077.406572180045259 1.080148233517342 6079.432712041989362 1.078511395613267 6081.459527396464182 1.076698611623386 6083.487018468663337 1.075119536900697 6085.515185483877758 1.073866938884687 6087.544028667452039 1.071927531580749 6089.573548244813537 1.069402220516187 6091.603744441458730 1.066274965348896 6093.634617482976864 1.062628556968426 6095.666167595013576 1.058935247369432 6097.698395003298174 1.055289324470910 6099.731299933626360 1.053119301981686 6101.764882611889334 1.051641085493326 6103.799143264033773 1.050664344934947 6105.834082116090940 1.049747534102811 6107.869699394162126 1.048799475000792 6109.905995324423202 1.047932875322725 6111.942970133139170 1.047558577904473 6113.980624046636876 1.048155632871969 6116.018957291322295 1.048966175728870 6118.057970093667791 1.049068793689575 6120.097662680245776 1.047929571715816 6122.138035277681411 1.046545193157629 6124.179088112682621 1.045529028264131 6126.220821412027362 1.047169949839038 6128.263235402586361 1.049933974838853 6130.306330311289457 1.053694062446847 6132.350106365146530 1.054761635928100 6134.394563791237488 1.055575175797372 6136.439702816736826 1.056497728491816 6138.485523668876340 1.060281641471842 6140.532026574970587 1.065159524403993 6142.579211762399609 1.070950014982324 6144.627079458642584 1.074363495735283 6146.675629891235076 1.075854663587692 6148.724863287791777 1.076121206364124 6150.774779876000139 1.078286637019406 6152.825379883641290 1.082109946839396 6154.876663538552748 1.086594782307869 6156.928631068656614 1.090004367528555 6158.981282701940472 1.093373814198194 6161.034618666491042 1.097422074373550 6163.088639190449612 1.103372458506135 6165.143344502042055 1.111308585460020 6167.198734829560635 1.120089250270343 6169.254810401396753 1.129562207135544 6171.311571445995469 1.138142531335113 6173.369018191886425 1.146797738108151 6175.427150867673845 1.155683685271063 6177.485969702034708 1.164138640671660 6179.545474923737856 1.171486498041505 6181.605666761610337 1.177745270672636 6183.666545444564690 1.182678488371616 6185.728111201578940 1.186514652055422 6187.790364261729337 1.189526670844210 6189.853304854148519 1.191778808608400 6191.916933208052797 1.193505457843853 6193.981249552727604 1.194973531224548 6196.046254117553872 1.196302310696570 6198.111947131969828 1.198263911598155 6200.178328825497374 1.200313540194851 6202.245399427729353 1.202264243114477 6204.313159168350467 1.204975897279345 6206.381608277107262 1.207904074709847 6208.450746983827230 1.210951916234268 6210.520575518407895 1.211547830673087 6212.591094110843187 1.211315146006256 6214.662302991183424 1.210385985985257 6216.734202389563507 1.208929094659829 6218.806792536189278 1.207368374302199 6220.880073661360257 1.205346648282745 6222.954045995434171 1.201981983706664 6225.028709768853332 1.197919582877024 6227.104065212129171 1.193749207220560 6229.180112555869528 1.189724298178943 6231.256852030739537 1.185436438055030 6233.334283867488921 1.181623912244585 6235.412408296935610 1.178401060694166 6237.491225549996670 1.175321173551609 6239.570735857645559 1.172216512098035 6241.650939450937585 1.169010683399028 6243.731836561006276 1.165292076293195 6245.813427419057916 1.162130990913973 6247.895712256391562 1.159389091473419 6249.978691304366293 1.157157391901194 6252.062364794424866 1.152748702969627 6254.146732958078246 1.147750755078287 6256.231796026937445 1.142559433370575 6258.317554232669863 1.139123179844066 6260.404007807026574 1.136371038767152 6262.491156981826862 1.134089321470564 6264.579001988991877 1.130747849168406 6266.667543060497337 1.127601558570211 6268.756780428401726 1.124854898051058 6270.846714324838103 1.123209222148481 6272.937344982033210 1.122755358991576 6275.028672632272901 1.122625438698777 6277.120697507927616 1.122457675923730 6279.213419841436917 1.121586204211835 6281.306839865339498 1.121641359725048 6283.400957812230445 1.122843137648568 6285.495773914790334 1.125392134107321 6287.591288405768864 1.128224013532904 6289.687501518014869 1.131218268850811 6291.784413484434481 1.134165839462302 6293.882024538017504 1.135302483790133 6295.980334911825594 1.134924016000163 6298.079344839016812 1.132655254771405 6300.179054552808338 1.128709828384127 6302.279464286501934 1.124787775590727 6304.380574273474849 1.121124003315081 6306.482384747179822 1.118299614088987 6308.584895941161449 1.115228572624905 6310.688108089027082 1.112749325485022 6312.792021424466839 1.113106689800512 6314.896636181241774 1.115113807032133 6317.001952593212991 1.117610762025337 6319.107970894295249 1.120162831942352 6321.214691318492441 1.121299319402244 6323.322114099877581 1.121800691225299 6325.430239472620997 1.121899600359226 6327.539067670953955 1.123011975030767 6329.648598929189575 1.124228456585317 6331.758833481713737 1.125615996826680 6333.869771563010545 1.127357251974276 6335.981413407621403 1.129731715558510 6338.093759250174116 1.132287111519818 6340.206809325366521 1.134920848628054 6342.320563867995588 1.136080910912230 6344.435023112914678 1.136666171785587 6346.550187295066280 1.136986419424054 6348.666056649461098 1.138043486097569 6350.782631411208058 1.140289779245647 6352.899911815476116 1.142701489312753 6355.017898097518810 1.144656524270737 6357.136590492661526 1.144695202170697 6359.255989236326968 1.144814205986751 6361.376094563997867 1.145131039322455 6363.496906711241536 1.145068093088399 6365.618425913697138 1.144120476001291 6367.740652407102061 1.142505767372618 6369.863586427252812 1.140204044048013 6371.987228210030480 1.138247076484051 6374.111577991396189 1.136667751006098 6376.236636007381094 1.135495821029381 6378.362402494116395 1.134645089526634 6380.488877687792410 1.134036046869864 6382.616061824683129 1.133397367192866 6384.743955141136212 1.132158786109595 6386.872557873597543 1.131249075495884 6389.001870258572126 1.131319338861499 6391.131892532649545 1.132708816366582 6393.262624932493054 1.136403539772266 6395.394067694864134 1.140033455430779 6397.526221056581562 1.143441810390887 6399.659085254553247 1.146094610934536 6401.792660525756219 1.149846152716454 6403.926947107267551 1.154567490925998 6406.061945236225256 1.160372627326039 6408.197655149849197 1.165224318297063 6410.334077085435638 1.169029782559131 6412.471211280376338 1.172218068814897 6414.609057972124901 1.176047134780882 6416.747617398219518 1.180374743272684 6418.886889796272953 1.184562083892879 6421.026875403993472 1.188269210205403 6423.167574459150273 1.191858232755757 6425.308987199600779 1.196259761658532 6427.451113863271530 1.201265757417311 6429.593954688190934 1.206271709202787 6431.737509912444693 1.210231882449680 6433.881779774206734 1.214097820555614 6436.026764511728288 1.218295062800661 6438.172464363335166 1.221401665791967 6440.318879567450495 1.223102959776606 6442.466010362559246 1.223731567673913 6444.613856987231884 1.223934628624648 6446.762419680110725 1.225037667049042 6448.911698679938127 1.226103578508855 6451.061694225516476 1.226781951795661 6453.212406555734560 1.227532784971892 6455.363835909553018 1.228216391338387 6457.515982526033440 1.228669515402308 6459.668846644295627 1.228477968918806 6461.822428503548508 1.226730774864564 6463.976728343070135 1.224085955138536 6466.131746402243152 1.220715498008762 6468.287482920503862 1.217564275917033 6470.443938137381338 1.214033322905616 6472.601112292473772 1.210258580151521 6474.759005625482132 1.206346369895102 6476.917618376162864 1.203067460522330 6479.076950784364271 1.200885264037499 6481.237003090004691 1.199994303802739 6483.397775533103413 1.201258024730119 6485.559268353737934 1.203520483266465 6487.721481792077611 1.205904118887739 6489.884416088358194 1.207802008099796 6492.048071482920932 1.209622842333171 6494.212448216165285 1.210170031641937 6496.377546528578023 1.209036016570660 6498.543366660716856 1.204757370293250 6500.709908853243178 1.200103739450996 6502.877173346878408 1.196395375696945 6505.045160382427639 1.194157547043848 6507.213870200778729 1.193346400559601 6509.383303042893203 1.192781904915947 6511.553459149832634 1.193196021246911 6513.724338762719526 1.195795661565301 6515.895942122760971 1.201576571753624 6518.068269471241365 1.206849047896225 6520.241321049541511 1.210869783066421 6522.415097099107697 1.212112417970773 6524.589597861468064 1.212671635179582 6526.764823578228970 1.213098744780855 6528.940774491094089 1.213636468740279 6531.117450841829850 1.213066968485445 6533.294852872289994 1.211829497400054 6535.472980824399201 1.210443962747783 6537.651834940187655 1.209731879150838 6539.831415461741926 1.208687062869646 6542.011722631237717 1.207630757907083 6544.192756690924398 1.206786009946176 6546.374517883154112 1.207080561913498 6548.557006450335393 1.206461613420848 6550.740222634969541 1.204326118790698 6552.924166679628797 1.200218296265522 6555.108838826986357 1.193389121749720 6557.294239319777262 1.187630930138863 6559.480368400823863 1.183333022335234 6561.667226313022184 1.181315213682284 6563.854813299371017 1.179855074360565 6566.043129602927365 1.179257718442568 6568.232175466838271 1.180402612647083 6570.421951134324445 1.186641745781585 6572.612456848707552 1.195117403695117 6574.803692853370194 1.202496020973954 6576.995659391783192 1.207327728131182 6579.188356707498315 1.206513193854184 6581.381785044142816 1.203815399198730 6583.575944645443087 1.199618709021083 6585.770835755188273 1.194041385806009 6587.966458617255739 1.184849813842581 6590.162813475595613 1.174481144893517 6592.359900574262610 1.163778986303337 6594.557720157368749 1.154176467950395 6596.756272469117903 1.146907970636902 6598.955557753786707 1.140130440738550 6601.155576255752749 1.133737272506236 6603.356328219455463 1.128492980216723 6605.557813889425233 1.123921074508730 6607.760033510262474 1.119953420967213 6609.962987326672192 1.116355374176584 6612.166675583421238 1.110517856091552 6614.371098525362868 1.104922753440617 6616.576256397426732 1.099635873328185 6618.782149444643437 1.094727959674618 6620.988777912106343 1.089532078508968 6623.196142044996122 1.085278837824599 6625.404242088567116 1.081475872074294 6627.613078288179167 1.077500337350695 6629.822650889252145 1.073314012294372 6632.032960137292321 1.068841076452561 6634.244006277883273 1.064521750542766 6636.455789556711352 1.061446236857194 6638.668310219522937 1.058197406402337 6640.881568512153535 1.054013194590836 6643.095564680520511 1.049234333658881 6645.310298970616714 1.045859152603335 6647.525771628537768 1.043775748426079 6649.741982900441144 1.041352102087602 6651.958933032570712 1.037879313962939 6654.176622271248561 1.032048028708614 6656.395050862898643 1.026327691577351 6658.614219054004934 1.020519567972231 6660.834127091142363 1.014416199927207 6663.054775220961346 1.006363914432847 6665.276163690213252 0.997549531768795 6667.498292745712206 0.988971185234592 6669.721162634361463 0.981382757466589 6671.944773603140675 0.973133681560587 6674.169125899130449 0.964453534861489 6676.394219769474148 0.955619007202972 6678.620055461404263 0.946925063215278 6680.846633222229684 0.939219600355770 6683.073953299362074 0.932395581506653 6685.302015940273122 0.926441414936163 6687.530821392526377 0.921408756421274 6689.760369903759965 0.916904814749750 6691.990661721714787 0.912906283454843 6694.221697094195406 0.909044984811810 6696.453476269092789 0.904631728876086 6698.685999494377029 0.899019097212640 6700.919267018118262 0.893230040447498 6703.153279088453019 0.887267021846571 6705.388035953602412 0.880853743664579 6707.623537861867590 0.875800126981825 6709.859785061650655 0.871390445282701 6712.096777801416465 0.867592214522629 6714.334516329719918 0.864645467263111 6716.573000895199584 0.862890299690634 6718.812231746567704 0.861491292881181 6721.052209132642020 0.860422181852974 6723.292933302302117 0.860085559247248 6725.534404504516715 0.859149027913452 6727.776622988332747 0.857563068388085 6730.019589002897192 0.855762097000188 6732.263302797424330 0.855256673408926 6734.507764621213937 0.855499917898186 6736.752974723644002 0.855953483606561 6738.998933354196197 0.856354692404269 6741.245640762414041 0.856188537352601 6743.493097197932912 0.855215474652841 6745.741302910461854 0.854350759417922 6747.990258149817237 0.853696328671380 6750.239963165873633 0.852913600734302 6752.490418208600204 0.850911396296638 6754.741623528039781 0.848926652229891 6756.993579374340698 0.847191670544450 6759.246285997713130 0.845616095571309 6761.499743648456388 0.844913746848642 6763.753952576949814 0.844515493331969 6766.008913033674617 0.844039029698099 6768.264625269173848 0.842692007964974 6770.521089534082421 0.840539698662127 6772.778306079112554 0.837787375611895 6775.036275155080148 0.834478521546300 6777.294997012862041 0.830619921963686 6779.554471903428748 0.825987396526348 6781.814700077825364 0.821432820289819 6784.075681787202484 0.816906168464174 6786.337417282774368 0.812069812945489 6788.599906815843497 0.807601495658353 6790.863150637797844 0.802934267175801 6793.127149000102690 0.797642963695078 6795.391902154326999 0.791104882820218 6797.657410352103398 0.784558499672031 6799.923673845153644 0.778801927112304 6802.190692885278622 0.773887512521809 6804.458467724383809 0.769819288628750 6806.726998614437434 0.765454443379598 6808.996285807497770 0.760618610731245 6811.266329555700395 0.755797584071789 6813.537130111288207 0.751442503458486 6815.808687726563221 0.746825382495278 6818.081002653921132 0.740858934914890 6820.354075145835850 0.734281182372095 6822.627905454883148 0.727677681669407 6824.902493833705194 0.721829409207392 6827.177840535034193 0.716631213657703 6829.453945811677841 0.712274488524350 6831.730809916552971 0.708879659120191 6834.008433102634626 0.706591605194284 6836.286815622994254 0.705600701278988 6838.565957730778791 0.705360598081974 6840.845859679238856 0.705576526948141 6843.126521721689642 0.705799573390989 6845.407944111539109 0.707121499229577 6847.690127102271617 0.708557065300849 6849.973070947477026 0.709976235520917 6852.256775900807042 0.711484910175300 6854.541242216009778 0.712993775877711 6856.826470146912470 0.714287882383242 6859.112459947422394 0.715558593623575 6861.399211871554144 0.717074090073841 6863.686726173382340 0.717609569309385 6865.975003107076191 0.719103808006277 6868.264042926882212 0.721538501531769 6870.553845887150601 0.724736680925937 6872.844412242298858 0.727120675529136 6875.135742246831796 0.729205970043045 6877.427836155337900 0.731811023632077 6879.720694222505699 0.735252544091444 6882.014316703091026 0.739310818562746 6884.308703851940663 0.742273666995577 6886.603855923980518 0.744938507724008 6888.899773174239272 0.747715410108482 6891.196455857814726 0.751127740218538 6893.493904229891086 0.755396337022798 6895.792118545735320 0.759614312032937 6898.091099060718079 0.764249152792500 6900.390846030274588 0.769910345689903 6902.691359709931930 0.776040954565949 6904.992640355296317 0.781170857966010 6907.294688222078548 0.786723193462688 6909.597503566055821 0.793615561005603 6911.901086643096278 0.802048558488429 6914.205437709146281 0.809490122068322 6916.510557020259512 0.814561420095120 6918.816444832552406 0.817391104927674 6921.123101402235079 0.819389092603236 6923.430526985595861 0.823682759374714 6925.738721839029495 0.828322180209002 6928.047686218995295 0.832861648311011 6930.357420382044438 0.836968305013099 6932.667924584813591 0.839556030970757 6934.979199084018546 0.841298851770395 6937.291244136482419 0.842807987324004 6939.604059999091987 0.844235979986819 6941.917646928825889 0.844520058276784 6944.232005182743706 0.843006347653666 6946.547135018008703 0.841604552145882 6948.863036691852358 0.841583930777905 6951.179710461595278 0.844515420056972 6953.497156584639924 0.850492708643218 6955.815375318494262 0.856856313292620 6958.134366920729917 0.863056866054389 6960.454131649014016 0.868589147565180 6962.774669761090991 0.872211518249449 6965.095981514810774 0.872708649725913 6967.418067168092421 0.870780740327640 6969.740926978944117 0.867319753865965 6972.064561205454083 0.864049352777855 6974.388970105818771 0.860828083876986 6976.714153938299205 0.856396383404497 6979.040112961247360 0.851578623712062 6981.366847433097064 0.847452815435905 6983.694357612388558 0.845374279279899 6986.022643757727565 0.844263519776042 6988.351706127810758 0.843010448811669 6990.681544981417574 0.841358933569433 6993.012160577432951 0.839854846755397 6995.343553174806402 0.840647396240428 6997.675723032582027 0.842132918825458 7000.008670409889419 0.843319780691008 7002.342395565938205 0.843336944029428 7004.676898760044423 0.842070495025155 7007.012180251592326 0.842373497531432 7009.348240300056204 0.844065212139773 7011.685079164990384 0.846053313213007 7014.022697106059240 0.845714766158208 7016.361094382990814 0.842605530858521 7018.700271255606822 0.840399885600362 7021.040227983808109 0.840203551897472 7023.380964827604657 0.842328672044243 7025.722482047071935 0.843861409373957 7028.064779902377268 0.842738981170135 7030.407858653768926 0.841342671272263 7032.751718561604321 0.840590092910370 7035.096359886304526 0.840892250521033 7037.441782888385205 0.841829799680244 7039.787987828442056 0.841807608010445 7042.134974967178096 0.841032493931265 7044.482744565363646 0.840190848360444 7046.831296883860887 0.841530899178115 7049.180632183613852 0.847324586203904 7051.530750725672988 0.854393951925852 7053.881652771156951 0.861113474826565 7056.233338581275348 0.866194444618602 7058.585808417321459 0.870536535144581 7060.939062540693158 0.875812423211252 7063.293101212857437 0.881002231706462 7065.647924695373149 0.885174151172073 7068.003533249881002 0.887146032167302 7070.359927138128114 0.889151152858958 7072.717106621930725 0.892254523432910 7075.075071963197843 0.895928958961271 7077.433823423923968 0.899658174858168 7079.793361266185457 0.903025512472363 7082.153685752168712 0.907404124401869 7084.514797144123804 0.912399145200337 7086.876695704398117 0.917670983740948 7089.239381695415432 0.922766076277275 7091.602855379712310 0.926371073508262 7093.967117019889884 0.929609911951247 7096.332166878642965 0.932962335444870 7098.698005218747312 0.936471425471666 7101.064632303089638 0.939962682579970 7103.432048394620324 0.943804669604007 7105.800253756386155 0.949011319708637 7108.169248651513044 0.955275345973893 7110.539033343238771 0.961936730384107 7112.909608094863870 0.967737949923619 7115.280973169785284 0.973427332775465 7117.653128831482718 0.978659051811619 7120.026075343541379 0.983615924217356 7122.399812969616505 0.988494013571906 7124.774341973456103 0.993467313408684 7127.149662618889124 0.999955448780348 7129.525775169854569 1.007933067341237 7131.902679890357831 1.015584154474965 7134.280377044499801 1.021469038961375 7136.658866896461404 1.026818542983108 7139.038149710533617 1.034115353803774 7141.418225751074715 1.042790056983228 7143.799095282536655 1.050709544015064 7146.180758569454156 1.055740714686018 7148.563215876471077 1.058996811428978 7150.946467468295850 1.066900180612057 7153.330513609736045 1.076767547811115 7155.715354565685629 1.086690960790937 7158.100990601118610 1.094819456599906 7160.487421981120860 1.098595132973330 7162.874648970843737 1.104898452820430 7165.262671835535002 1.114512290357753 7167.651490840524275 1.126569355853290 7170.041106251248493 1.139081427012287 7172.431518333213717 1.148287698707223 7174.822727352022412 1.158761752162087 7177.214733573356170 1.171447412033669 7179.607537263008453 1.186054495437374 7182.001138686839113 1.201424662367684 7184.395538110803500 1.215666008385886 7186.790735800938819 1.229714419173341 7189.186732023392324 1.243950437770642 7191.583527044379480 1.257790067802622 7193.981121130211250 1.270163345336952 7196.379514547277722 1.283229646320486 7198.778707562082673 1.296859129247860 7201.178700441196270 1.310017726851495 7203.579493451283270 1.321820706581611 7205.981086859093011 1.331570460552649 7208.383480931482154 1.340168428788980 7210.786675935376479 1.351289121390131 7213.190672137798174 1.364372229180583 7215.595469805849461 1.378079381070894 7218.001069206746251 1.390511551843442 7220.407470607769028 1.399030768757656 7222.814674276295591 1.406177149376686 7225.222680479793780 1.414033692900386 7227.631489485812381 1.424194740205983 7230.041101562010226 1.437447429740872 7232.451516976117091 1.450062157414754 7234.862735995954608 1.458803127835018 7237.274758889429904 1.462271641000426 7239.687585924559244 1.461929478919298 7242.101217369428014 1.460180556609612 7244.515653492218007 1.458421355969406 7246.930894561191053 1.458277955759051 7249.346940844723576 1.460534650859020 7251.763792611255667 1.463438683658385 7254.181450129328368 1.465406693829101 7256.599913667562760 1.467140190575430 7259.019183494690878 1.469402122936200 7261.439259879513884 1.470821814294806 7263.860143090928432 1.471322349983166 7266.281833397913942 1.472041724437287 7268.704331069563523 1.476004437123881 7271.127636375034854 1.480706367587986 7273.551749583584751 1.482602165727035 7275.976670964550067 1.481064685385303 7278.402400787383158 1.476780063233021 7280.828939321602775 1.471642784274721 7283.256286836822255 1.468494483711688 7285.684443602739520 1.469158332138235 7288.113409889166178 1.473029440332427 7290.543185965979319 1.476850173826177 7292.973772103154261 1.476471710464458 7295.405168570748174 1.470787439475058 7297.837375638931007 1.464210564612538 7300.270393577940922 1.459038261347312 7302.704222658113395 1.454073813212420 7305.138863149873032 1.447468110796178 7307.574315323729934 1.437848574434819 7310.010579450302430 1.428622672106199 7312.447655800280700 1.421839379748430 7314.885544644450420 1.416869790219197 7317.324246253680030 1.412421688324309 7319.763760898952569 1.406902186099626 7322.204088851317465 1.401972104063562 7324.645230381921465 1.397358403139298 7327.087185761995897 1.393381307123267 7329.529955262883050 1.390862593194274 7331.973539155996150 1.390433001753202 7334.417937712842104 1.390921201183435 7336.863151205016038 1.387345459090442 7339.309179904220400 1.382093714559728 7341.756024082231306 1.377470038924720 7344.203684010917641 1.374508186207136 7346.652159962236510 1.372076523227925 7349.101452208255068 1.370118521518752 7351.551561021108682 1.370175946803250 7354.002486673032763 1.368913501157367 7356.454229436343667 1.365661885892466 7358.906789583473255 1.361533691390079 7361.360167386920693 1.357780925904853 7363.814363119282461 1.354967103762645 7366.269377053240532 1.351441765360070 7368.725209461588747 1.345951607368175 7371.181860617190978 1.339566267181950 7373.639330793006593 1.336600348369218 7376.097620262081364 1.336544273987956 7378.556729297573838 1.337111709101932 7381.016658172709867 1.336771371277554 7383.477407160816256 1.335895829784903 7385.938976535308029 1.336109241859430 7388.401366569686616 1.340155610560795 7390.864577537565310 1.344937405692638 7393.328609712627440 1.350140892852527 7395.793463368653647 1.352128184426061 7398.259138779509158 1.349014607970805 7400.725636219171975 1.341691466035105 7403.192955961691951 1.334944390428744 7405.661098281214436 1.332263619441983 7408.130063451970273 1.328929576881066 7410.599851748303990 1.323895566279627 7413.070463444628331 1.317110327957534 7415.541898815456079 1.308414162437834 7418.014158135384605 1.299123243446351 7420.487241679123144 1.292030331436075 7422.961149721451875 1.287841023359987 7425.435882537249199 1.284953069649571 7427.911440401478103 1.280371331369633 7430.387823589216168 1.270354346525550 7432.865032375608280 1.262349291984858 7435.343067035900276 1.254863014007593 7437.821927845422579 1.247182272178361 7440.301615079618387 1.238978011087312 7442.782129014001839 1.230029410955035 7445.263469924184392 1.218884556734357 7447.745638085863902 1.206912851806543 7450.228633774851914 1.193801346114435 7452.712457267029095 1.180656869119792 7455.197108838375243 1.167951992541434 7457.682588764963839 1.155327520774687 7460.168897322952034 1.143587103514517 7462.656034788609759 1.131444717370137 7465.144001438279702 1.120724889035434 7467.632797548400958 1.110951153473330 7470.122423395500846 1.101801512762167 7472.612879256217639 1.093671018997495 7475.104165407263281 1.085314242012395 7477.596282125445214 1.078317284950567 7480.089229687659099 1.070898443482616 7482.583008370913376 1.063394629164156 7485.077618452287425 1.057029344942399 7487.573060208959760 1.053015340872966 7490.069333918195298 1.047302403317019 7492.566439857371734 1.041285648145867 7495.064378303937701 1.034662204946742 7497.563149535442790 1.028009578170434 7500.062753829520261 1.021858473763550 7502.563191463918884 1.016303564531787 7505.064462716457456 1.011590235957065 7507.566567865054822 1.006876983341936 7510.069507187716226 0.999764093584022 7512.573280962559693 0.990780479128743 7515.077889467776004 0.981195484330720 7517.583332981654166 0.972139335488867 7520.089611782569591 0.964600470155829 7522.596726149012284 0.957025707866794 7525.104676359544101 0.950076930889671 7527.613462692825124 0.942295129170839 7530.123085427601836 0.932701008434194 7532.633544842737138 0.921454746734020 7535.144841217163048 0.909317418631166 7537.656974829912542 0.900381091275900 7540.169945960111363 0.891290143676579 7542.683754886969837 0.880745853085367 7545.198401889818342 0.868422637794222 7547.713887248050924 0.854260869583049 7550.230211241168945 0.836752082676845 7552.747374148753806 0.821506101589093 7555.265376250507870 0.809006258860585 7557.784217826199892 0.798460978956569 7560.303899155701401 0.789097783665334 7562.824420518969418 0.780645516708886 7565.345782196078289 0.773704248383468 7567.867984467170572 0.767286945327751 7570.391027612490689 0.761888525710652 7572.914911912369462 0.758497529365876 7575.439637647254131 0.756248949536559 7577.965205097661965 0.755472135073490 7580.491614544212098 0.758702335911845 7583.018866267607336 0.765748787565844 7585.546960548670540 0.771869314213745 7588.075897668291873 0.775990045042063 7590.605677907466088 0.781046887666682 7593.136301547270705 0.788157037895093 7595.667768868903295 0.795762280332789 7598.200080153627823 0.800839574195499 7600.733235682813756 0.802647368662391 7603.267235737915144 0.800021982753625 7605.802080600502450 0.794174481460080 7608.337770552217989 0.787964700986204 7610.874305874805032 0.784641238638292 7613.411686850092337 0.786297691917928 7615.949913760026902 0.789737268752568 7618.488986886626662 0.792917192563125 7621.028906512010508 0.798335436320731 7623.569672918391916 0.806560562118491 7626.111286388069857 0.816772350114264 7628.653747203462444 0.827400641795800 7631.197055647056914 0.837174825906111 7633.741212001443273 0.847171147836052 7636.286216549297933 0.855991260986291 7638.832069573414628 0.864073826258175 7641.378771356657126 0.871611236668017 7643.926322181993783 0.879123637726729 7646.474722332477540 0.887607545420338 7649.023972091278665 0.897914852528962 7651.574071741641092 0.911434632019240 7654.125021566907890 0.925615469785318 7656.676821850510350 0.938967954595924 7659.229472875997089 0.950590307794946 7661.782974926989482 0.960677709257801 7664.337328287208948 0.970797151180475 7666.892533240465127 0.983343231790811 7669.448590070684986 0.996496067801275 7672.005499061867340 1.009581509368397 7674.563260498112868 1.021404318160989 7677.121874663609560 1.032120823381524 7679.681341842663642 1.043183786794244 7682.241662319653187 1.056374898936557 7684.802836379056316 1.071170929692729 7687.364864305442097 1.083640220194414 7689.927746383495105 1.093078909727953 7692.491482897972674 1.100928736457226 7695.056074133733091 1.107621754642565 7697.621520375732871 1.113129100724256 7700.187821909012200 1.119208991017553 7702.754979018732229 1.126022740286582 7705.322991990124137 1.130209374204287 7707.891861108523699 1.131341806475276 7710.461586659352179 1.130939484274683 7713.032168928149986 1.129729743736854 7715.603608200530289 1.127612754105460 7718.175904762208120 1.125060446614512 7720.749058898986732 1.122231372414755 7723.323070896788522 1.117924362153373 7725.897941041605009 1.113998965667167 7728.473669619534121 1.110489495612549 7731.050256916761100 1.106928268623228 7733.627703219586692 1.103403273002902 7736.206008814388042 1.101164102660212 7738.785173987642338 1.099865827698798 7741.365199025915899 1.096299698356854 7743.946084215894189 1.092008030320994 7746.527829844334519 1.088877443257160 7749.110436198096977 1.086087825268664 7751.693903564130778 1.082743746881539 7754.278232229502464 1.080701661192680 7756.863422481353155 1.081805447358471 7759.449474606924923 1.081786727414717 7762.036388893548974 1.080920992690780 7764.624165628676565 1.081641482439604 7767.212805099831712 1.083504718876522 7769.802307594638478 1.085012275485359 7772.392673400813692 1.085785485327122 7774.983902806190599 1.087650491745503 7777.575996098676114 1.089748661513826 7780.168953566279924 1.089226416889254 7782.762775497109033 1.087742406952100 7785.357462179357753 1.086842088812251 7787.953013901339546 1.086827172382270 7790.549430951443355 1.087565703201231 7793.146713618157264 1.089893218434822 7795.744862190063031 1.092436360944709 7798.343876955857013 1.091773973013010 7800.943758204312871 1.089532096968244 7803.544506224305223 1.089271108137137 7806.146121304798726 1.092032043407950 7808.748603734876269 1.096408811167427 7811.351953803696233 1.100008111108056 7813.956171800519769 1.101350015637324 7816.561258014694431 1.100080689135104 7819.167212735692374 1.099446502951038 7821.774036253054874 1.101813424566494 7824.381728856430527 1.106506727056586 7826.990290835552514 1.111742935957261 7829.599722480279524 1.116052965821540 7832.210024080538460 1.119008281184820 7834.821195926364453 1.120678098520645 7837.433238307878128 1.122983353082613 7840.046151515323800 1.125114931751004 7842.659935839016725 1.125283303336633 7845.274591569376753 1.122668237111310 7847.890118996913770 1.117761037084062 7850.506518412257719 1.111630094584618 7853.123790106112210 1.104706885108006 7855.741934369284536 1.096195241543174 7858.360951492680215 1.087932281243326 7860.980841767292077 1.080787634023464 7863.601605484236643 1.075472522220790 7866.223242934700465 1.070678288082110 7868.845754409977417 1.064990666860484 7871.469140201449591 1.057901659208145 7874.093400600620043 1.049389641741609 7876.718535899064591 1.037862426036552 7879.344546388466370 1.028034180212983 7881.971432360595827 1.022034995109830 7884.599194107344374 1.015811553556534 7887.227831920678000 1.007231885442243 7889.857346092668195 0.997915243322319 7892.487736915474670 0.990527696428015 7895.119004681379010 0.984701989738609 7897.751149682737378 0.977242309993951 7900.384172212007797 0.970198673135509 7903.018072561742883 0.965125352284481 7905.652851024613483 0.960463807067112 7908.288507893364113 0.955365840571510 7910.925043460845700 0.949697399231632 7913.562458019999212 0.944102028816348 7916.200751863886580 0.939600199218168 7918.839925285643403 0.936266319016215 7921.479978578511691 0.933773053881712 7924.120912035820766 0.931581796000849 7926.762725951026368 0.927467534778028 7929.405420617653363 0.921090858781765 7932.048996329335750 0.913143268089502 7934.693453379795756 0.904831114146197 7937.338792062877474 0.896607098266107 7939.985012672499579 0.887027817101684 7942.632115502687157 0.875896352469562 7945.280100847562608 0.869545815661398 7947.928969001338373 0.866249255113705 7950.578720258348767 0.862015784141011 7953.229354913002680 0.857298126692199 7955.880873259816326 0.853617217248329 7958.533275593393228 0.850617061426086 7961.186562208460600 0.846529788698555 7963.840733399822057 0.842427753921628 7966.495789462383982 0.839953381119790 7969.151730691144621 0.834719086489306 7971.808557381225000 0.826786234370700 7974.466269827819815 0.817963130283022 7977.124868326231081 0.808390812876599 7979.784353171849943 0.798584869367836 7982.444724660190332 0.790598408180179 7985.105983086842571 0.786599755894907 7987.768128747500668 0.785265733356307 7990.431161937951401 0.783179689478909 7993.095082954102509 0.779860870102719 7995.759892091938127 0.775883958583618 7998.425589647546985 0.772211423434518 8001.092175917111490 0.767762186510564 8003.759651196933191 0.761898883050983 8006.428015783391857 0.755089480749547 8009.097269972970935 0.747427441152240 8011.767414062247553 0.737452050671215 8014.438448347918893 0.726574081806228 8017.110373126760351 0.716657175230595 8019.783188695651006 0.709523063466629 8022.456895351562707 0.705306219015788 8025.131493391590084 0.702529123792744 8027.806983112903254 0.698854076388620 8030.483364812778746 0.693281744778551 8033.160638788591314 0.687243755671126 8035.838805337808481 0.682751274437942 8038.517864758019641 0.679562201850686 8041.197817346891497 0.676768448272359 8043.878663402196253 0.672169236390324 8046.560403221796150 0.666577596352188 8049.243037103679853 0.661756524989350 8051.926565345908784 0.658339276062735 8054.610988246654415 0.654590796635063 8057.296306104175528 0.648671222350276 8059.982519216859146 0.641503389283898 8062.669627883163230 0.634059163596196 8065.357632401657611 0.626791338735593 8068.046533070999430 0.622293708179179 8070.736330189972250 0.617861778142296 8073.427024057435119 0.612249308242552 8076.118614972353498 0.606479310236423 8078.811103233784706 0.601583399948589 8081.504489140910664 0.597194107739210 8084.198772992987870 0.592819287249500 8086.893955089381052 0.589457865056941 8089.590035729547708 0.585647520754957 8092.287015213068116 0.578992775478698 8094.984893839598044 0.572034160377282 8097.683671908903307 0.565050821432760 8100.383349720837941 0.558165979139074 8103.083927575384223 0.552030483926255 8105.785405772597187 0.546643562231908 8108.487784612641008 0.539644399548145 8111.191064395780813 0.529001904168150 8113.895245422372682 0.517541199758596 8116.600327992896382 0.508690705972502 8119.306312407909900 0.500321035655549 8122.013198968077631 0.490997155971904 8124.720987974155832 0.481313042739487 8127.429679727028088 0.471404943674568 8130.139274527649832 0.460451048643171 8132.849772677089277 0.448824370320196 8135.561174476502856 0.438389072312451 8138.273480227175241 0.430917955845835 8140.986690230463864 0.425908905740152 8143.700804787838933 0.419782205478245 8146.415824200857969 0.409053245134466 8149.131748771207640 0.396122877126931 8151.848578800649193 0.382697820714178 8154.566314591052105 0.370875502788724 8157.284956444379532 0.360854495243692 8160.004504662718318 0.349687737653974 8162.724959548232619 0.334800699394619 8165.446321403195725 0.316486813087853 8168.168590529971880 0.298447624587993 8170.891767231052654 0.284972518303395 8173.615851809005107 0.274650618057532 8176.340844566505439 0.265335638612047 8179.066745806320796 0.254262560779058 8181.793555831347476 0.244836608389515 8184.521274944555444 0.237442794835854 8187.249903449024714 0.229834416228152 8189.979441647928070 0.222378589825555 8192.709889844563804 0.215384774290781 8195.441248342305698 0.209248686463226 8198.173517444640311 0.204096646244984 8200.906697455151516 0.198787516298083 8203.640788677519595 0.193416188543328 8206.375791415544882 0.187349515253648 8209.111705973113203 0.179429230547659 8211.848532654212249 0.173662117123673 8214.586271762926117 0.173081081991421 8217.324923603464413 0.173779926333416 8220.064488480114960 0.172974513553884 8222.804966697271084 0.172698709929343 8225.546358559424334 0.174768750407946 8228.288664371189952 0.177798628615603 8231.031884437259578 0.179648210891343 8233.776019062435807 0.180206938758728 8236.521068551614007 0.179608076623662 8239.267033209818692 0.177364064424853 8242.013913342145315 0.178849497278070 8244.761709253803929 0.181761651770374 8247.510421250097352 0.181113058893484 8250.260049636453914 0.177616689228925 8253.010594718380162 0.174783407265345 8255.762056801491781 0.175568765280353 8258.514436191500863 0.179428062638390 8261.267733194239554 0.183722493928088 8264.021948115623672 0.186447285916474 8266.777081261678177 0.187368671312993 8269.533132938520794 0.189745405609376 8272.290103452392941 0.197341982924162 8275.047993109619711 0.207479104574120 8277.806802216631695 0.215624594161016 8280.566531079954075 0.223378046227890 8283.327180006242997 0.231734096092535 8286.088749302225551 0.238775880591665 8288.851239274745240 0.245761154011028 8291.614650230745610 0.254251288195511 8294.378982477261161 0.262711374177755 8297.144236321459175 0.268528711746622 8299.910412070579696 0.272778662403268 8302.677510031977363 0.279463018724449 8305.445530513099584 0.286635261379715 8308.214473821519277 0.291220669407827 8310.984340264887578 0.296603157756451 8313.755130150970217 0.300085806167507 8316.526843787623875 0.302575422542569 8319.299481482830743 0.306937075799128 8322.073043544656684 0.313504747575631 8324.847530281273066 0.319074755740203 8327.622942000949479 0.321761450750436 8330.399279012079205 0.323740997844470 8333.176541623139201 0.327733837853575 8335.954730142711924 0.334329174919695 8338.733844879476237 0.343019047621458 8341.513886142240153 0.350753708370391 8344.294854239889901 0.357968887622201 8347.076749481420848 0.367653179346934 8349.859572175922949 0.380139844754746 8352.643322632618947 0.396679280967189 8355.428001160802523 0.415198618767205 8358.213608069883776 0.433872106905258 8361.000143669365571 0.450465361474729 8363.787608268879922 0.464669615153323 8366.576002178138879 0.477141816908376 8369.365325706961812 0.488714858911967 8372.155579165273593 0.499632946430141 8374.946762863093682 0.509210653441754 8377.738877110572503 0.517332999635637 8380.531922217933243 0.525649278242017 8383.325898495517322 0.534902533656401 8386.120806253757110 0.548615879070940 8388.916645803214124 0.568059691022740 8391.713417454529917 0.591055411853693 8394.511121518457003 0.619760933316716 8397.309758305840660 0.653124316495472 8400.109328127660774 0.684771354207531 8402.909831294968171 0.711086046102470 8405.711268118933731 0.735092388012813 8408.513638910817463 0.759903483987124 8411.316943982012162 0.787043592917420 8414.121183643987024 0.819887885510571 8416.926358208324018 0.859106111631316 8419.732467986699703 0.896676407375698 8422.539513290925242 0.927521342653320 8425.347494432880922 0.960244698111644 8428.156411724567079 1.000154859343278 8430.966265478076821 1.041896232880314 8433.777056005634222 1.080844862530817 8436.588783619539754 1.116366850572499 8439.401448632206666 1.143621303045151 8442.215051356146432 1.164352604016512 8445.029592103997857 1.190441687930808 8447.845071188479778 1.223995386966050 8450.661488922421995 1.258512348575286 8453.478845618752530 1.290945316933788 8456.297141590526735 1.323917185310309 8459.116377150881817 1.360771392417000 8461.936552613065942 1.401544795853915 8464.757668290430956 1.442602366478312 8467.579724496425115 1.479835344347055 8470.402721544627639 1.512385869929131 8473.226659748697784 1.545188088003968 8476.051539422405767 1.583261318084043 8478.877360879618209 1.624562287789242 8481.704124434332698 1.663531498447240 8484.531830400623221 1.697925964881134 8487.360479092683818 1.731021542099277 8490.190070824797658 1.770066404743290 8493.020605911378880 1.814358016114685 8495.852084666927112 1.858048982300001 8498.684507406049306 1.898920496775174 8501.517874443448818 1.940870423509976 8504.352186093963610 1.987023347128154 8507.187442672508041 2.034662139475598 8510.023644494109249 2.080332458335373 8512.860791873894414 2.124343825086027 8515.698885127118047 2.168516888517533 8518.537924569116512 2.214748111169799 8521.377910515335316 2.261905516169590 8524.218843281323643 2.306340802258863 8527.060723182756192 2.350727976305158 8529.903550535389513 2.399854809066909 8532.747325655091117 2.452810753899044 8535.592048857830378 2.505579894045700 8538.437720459703996 2.557233370409053 8541.284340776886893 2.609423419258421 8544.131910125674040 2.659920852230149 8546.980428822458634 2.708303958656999 8549.829897183735739 2.751464860630771 8552.680315526129561 2.788209517716859 8555.531684166346167 2.820547886075291 8558.384003421202578 2.850711410038394 8561.237273607614043 2.877955772297684 8564.091495042630413 2.900394465027365 8566.946668043376121 2.919321058407895 8569.802792927095652 2.935495344680065 8572.659870011124440 2.947755132275293 8575.517899612932524 2.959083262294115 8578.376882050073618 2.967646794128988 8581.236817640210575 2.972388677005628 8584.097706701104471 2.977074156169337 8586.959549550649172 2.980566662309666 8589.822346506820395 2.982735891033633 8592.686097887704818 2.986574680431613 8595.550804011490982 2.993493307071732 8598.416465196492936 2.996016947749897 8601.283081761112044 2.996530556974254 8604.150654023860625 2.998502106730382 8607.019182303347407 2.999399889008286 8609.888666918317540 3.001204904852096 8612.759108187592574 3.002864770755106 8615.630506430110472 3.000426791439311 8618.502861964907424 2.993885139157637 8621.376175111150587 2.984301888574336 8624.250446188088972 2.971910858310403 8627.125675515086186 2.955108795246058 8630.001863411602244 2.932699561613627 8632.879010197231764 2.909511337642206 8635.757116191649402 2.891036122284742 8638.636181714644408 2.874504226126812 8641.516207086113354 2.856313144649202 8644.397192626049218 2.838251110323275 8647.279138654581402 2.820230297236321 8650.162045491913887 2.797641919142031 8653.045913458372524 2.772427610805215 8655.930742874375937 2.748029194672973 8658.816534060479171 2.718940170029626 8661.703287337319125 2.683489603410697 8664.591003025643658 2.647618803189288 8667.479681446302493 2.616308385833251 8670.369322920276318 2.588194008539756 8673.259927768627676 2.570789804731387 8676.151496312537347 2.565063406894116 8679.044028873278876 2.562958566556791 8681.937525772262234 2.558535409509198 8684.831987330981065 2.552240753072005 8687.727413871041790 2.545920983389473 8690.623805714147238 2.540491729708122 8693.521163182138480 2.538437951963350 8696.419486596932984 2.534018259488581 8699.318776280570091 2.523061836851377 8702.219032555181911 2.510281707114118 8705.120255743036978 2.500806301521653 8708.022446166485679 2.491429194615433 8710.925604147992999 2.478944036323096 8713.829730010122148 2.467439877687321 8716.734824075572760 2.457133414464665 8719.640886667124505 2.442111888367641 8722.547918107671649 2.422042415673302 8725.455918720210320 2.398864658230086 8728.364888827869436 2.372542449573789 8731.274828753857946 2.348299408744250 8734.185738821503037 2.334542506203853 8737.097619354239214 2.325646566247193 8740.010470675599208 2.310456056835464 8742.924293109252176 2.292405756404576 8745.839086978947307 2.277849641802865 8748.754852608550209 2.261196161550485 8751.671590322024713 2.237439708907805 8754.589300443471075 2.212290526217820 8757.507983297073224 2.186515250249379 8760.427639207124230 2.156110777962789 8763.348268498026300 2.125882717011284 8766.269871494308973 2.096495264984192 8769.192448520585458 2.059592457939547 8772.115999901587202 2.023762643918873 8775.040525962145693 1.998351871848949 8777.966027027225209 1.971617101184723 8780.892503421871879 1.938531147476485 8783.819955471250069 1.904644647260531 8786.748383500624186 1.868208895028519 8789.677787835391428 1.829271181139114 8792.608168801032662 1.795158598189027 8795.539526723146992 1.762667216621279 8798.471861927429927 1.722522842328444 8801.405174739717040 1.677202119627953 8804.339465485920300 1.631704556711518 8807.274734492073549 1.587228871864323 8810.210982084308853 1.545169023505809 8813.148208588892885 1.504135028225368 8816.086414332177810 1.459466109963750 8819.025599640626751 1.411470966082948 8821.965764840819247 1.368253423542936 8824.906910259429424 1.333401783474666 8827.849036223269650 1.301221160283249 8830.792143059234149 1.266244850494333 8833.736231094335380 1.229401891579364 8836.681300655684026 1.196231345195120 8839.627352070529014 1.169521829653847 8842.574385666201124 1.147277178170235 8845.522401770145734 1.126613929031231 8848.471400709913723 1.103786459073637 8851.421382813188757 1.077595557024277 8854.372348407736354 1.050510352466707 8857.324297821443906 1.024954099122650 8860.277231382295213 1.001773159139899 8863.231149418414134 0.980239856844600 8866.186052258002746 0.961110435681716 8869.141940229383181 0.944812255255509 8872.098813660979431 0.930771170151480 8875.056672881350096 0.920079090089448 8878.015518219139267 0.913727810461862 8880.975350003105632 0.909668950325072 8883.936168562111561 0.903235265585891 8886.897974225154030 0.895897622236778 8889.860767321315507 0.892695982026679 8892.824548179791236 0.888439285460554 8895.789317129883784 0.879518747243908 8898.755074501030322 0.868879363104301 8901.721820622751693 0.860918880643299 8904.689555824681520 0.854458257769519 8907.658280436564382 0.848587452954160 8910.627994788272190 0.844017722055338 8913.598699209767801 0.838181716606602 8916.570394031128671 0.835823259232478 8919.543079582541395 0.839138836026870 8922.516756194296249 0.847193943110706 8925.491424196819935 0.854147707062158 8928.467083920622827 0.864636096168110 8931.443735696333533 0.883332443767406 8934.421379854680708 0.899231769432127 8937.400016726533067 0.910002712783833 8940.379646642841180 0.919199921047457 8943.360269934673852 0.925413539950111 8946.341886933205387 0.924342142846719 8949.324497969741060 0.922396009738003 8952.308103375675273 0.922877211076382 8955.292703482517027 0.920478904510237 8958.278298621884460 0.915887868482919 8961.264889125523041 0.911397289167608 8964.252475325271007 0.910543781789440 8967.241057553081191 0.908242690409043 8970.230636141008290 0.904560299731831 8973.221211421247062 0.909211666312783 8976.212783726074122 0.909474356088885 8979.205353387886134 0.900019250943474 8982.198920739183450 0.899303216608705 8985.193486112599203 0.904034737901936 8988.189049840857479 0.907777804237344 8991.185612256796958 0.908440355248404 8994.183173693360004 0.906818521707767 8997.181734483627224 0.912898566624617 9000.181294960762898 0.911979079566716 9003.181855458051359 0.907740424679191 9006.183416308880624 0.905642010544202 9009.185977846773312 0.902677645398837 9012.189540405341177 0.897895471136065 9015.194104318310565 0.894917301613756 9018.199669919522421 0.890350325906211 9021.206237542921372 0.881777041342953 9024.213807522586649 0.877016829918792 9027.222380192682976 0.874132806746860 9030.231955887498771 0.874002973014050 9033.242534941420672 0.874158584153461 9036.254117688977203 0.873718969497367 9039.266704464776922 0.870101460964432 9042.280295603553895 0.866816973571010 9045.294891440140418 0.865273283208502 9048.310492309512483 0.860318768768998 9051.327098546726120 0.855299782440598 9054.344710486959229 0.849040831904398 9057.363328465495215 0.843025490558638 9060.382952817752084 0.835581000905181 9063.403583879235157 0.828574865850238 9066.425221985569806 0.824576610565567 9069.447867472485086 0.822106377561263 9072.471520675848296 0.818214770474985 9075.496181931612227 0.812743233133791 9078.521851575849723 0.811411753724702 9081.548529944739130 0.816590590142044 9084.576217374593398 0.824575837092517 9087.604914201814609 0.830108294553638 9090.634620762924897 0.832671378389377 9093.665337394548260 0.833864744938788 9096.697064433450578 0.834475776594056 9099.729802216479584 0.834182898148291 9102.763551080608522 0.833314355421078 9105.798311362917957 0.833154830914798 9108.834083400595773 0.831166759167223 9111.870867530968098 0.827748205471367 9114.908664091446553 0.824944196607848 9117.947473419562812 0.822392734937932 9120.987295852955867 0.821047741044232 9124.028131729399320 0.821518162236152 9127.069981386755899 0.822948112850691 9130.112845163008387 0.826435635023592 9133.156723396243251 0.832014145996450 9136.201616424688837 0.838746455212886 9139.247524586657164 0.845641414195279 9142.294448220582126 0.847700446324397 9145.342387664999478 0.846745341740743 9148.391343258592315 0.847553140789314 9151.441315340120127 0.850454392528321 9154.492304248471555 0.852321623677703 9157.544310322633464 0.849269957966184 9160.597333901736420 0.844357425165700 9163.651375324998298 0.840998597392617 9166.706434931757030 0.836894711862666 9169.762513061450591 0.832219651696551 9172.819610053666111 0.827256574049806 9175.877726248068939 0.817581173951802 9178.936861984451753 0.805788952321608 9181.997017602707274 0.796573302281689 9185.058193442873744 0.792173993320132 9188.120389845069440 0.790867185676799 9191.183607149541785 0.790867888635553 9194.247845696636432 0.790386198200377 9197.313105826844549 0.785772820274939 9200.379387880739159 0.776345981583809 9203.446692199020617 0.768689118976480 9206.515019122500235 0.767590228107702 9209.584368992091186 0.764712532882644 9212.654742148853984 0.755487009848435 9215.726138933930997 0.741923829804497 9218.798559688590103 0.727392037316545 9221.872004754197405 0.712113685701448 9224.946474472271802 0.699177805590222 9228.021969184406771 0.690585662694632 9231.098489232324937 0.682605554580506 9234.176034957852607 0.677825967355193 9237.254606702959791 0.675509702600520 9240.334204809700168 0.673775116636400 9243.414829620249293 0.669939666077856 9246.496481476891859 0.664415803233792 9249.579160722050801 0.663154863395773 9252.662867698236369 0.661066652084191 9255.747602748084319 0.655245526532951 9258.833366214332273 0.652056800471536 9261.920158439861552 0.649748170032579 9265.007979767640791 0.645351171357971 9268.096830540760493 0.643332688996404 9271.186711102418485 0.647195813574695 9274.277621795950836 0.657998758759999 9277.369562964784564 0.664753944692918 9280.462534952466740 0.661974070595649 9283.556538102653576 0.660480120181553 9286.651572759143164 0.657870697250553 9289.747639265815451 0.653888531720028 9292.844737966679531 0.656729016468363 9295.942869205857278 0.656559527859313 9299.042033327576064 0.644154530285050 9302.142230676206964 0.626206712034832 9305.243461596206544 0.610018888983185 9308.345726432155061 0.605118726305772 9311.449025528740094 0.600309244103421 9314.553359230792921 0.594534578882298 9317.658727883226675 0.604643122231748 9320.765131831085455 0.609424357601468 9323.872571419513406 0.602804517162893 9326.981046993802011 0.598107556238854 9330.090558899328244 0.599202952613848 9333.201107481592771 0.603084531469681 9336.312693086203581 0.603059067561406 9339.425316058908720 0.598669402833534 9342.538976745549007 0.594640027259199 9345.653675492083494 0.584969237686642 9348.769412644584008 0.616963866313122 9351.886188549258804 0.675856906873274 9355.004003552408903 0.670934420692946 9358.122858000459019 0.663996621300082 9361.242752239937545 0.646311063780504 9364.363686617518397 0.626517511705043 9367.485661479962801 0.607430941579462 9370.608677174157492 0.588757129470536 9373.732734047094709 0.571905664729053 9376.857832445908571 0.558905820478921 9379.983972717825964 0.550716930585972 9383.111155210193829 0.539747815305555 9386.239380270468246 0.528429961759260 9389.368648246248995 0.523790096309381 9392.498959485223168 0.524310534629330 9395.630314335201547 0.529046327001249 9398.762713144113150 0.533690271004526 9401.896156259992495 0.533324931204321 9405.030644031019619 0.530025274733463 9408.166176805463692 0.526545802207202 9411.302754931712116 0.520281631190345 9414.440378758268707 0.511664110104785 9417.579048633773709 0.506194792997621 9420.718764906961951 0.501830084285378 9423.859527926688315 0.491543586741410 9427.001338041918643 0.479153150860261 9430.144195601760657 0.473746971847364 9433.288100955413029 0.474345148186053 9436.433054452196302 0.474269463391728 9439.579056441541979 0.471241994122228 9442.726107273023445 0.466803715030842 9445.874207296305030 0.463642875381815 9449.023356861174761 0.458263190951193 9452.173556317527982 0.454693176090405 9455.324806015409195 0.456851346266232