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 Brian Schmidt.  file 94Iapr3_mmt.flam

Date: 1994apr03 (93) with 1994apr10 (100) for B maximum gives:
      day = 93 - 100 = -7




&specnamelist
   aname='sn1994I Ic 1994_04_03'
   ebv=.0375
   epoch= -7         ! This parameter needs to updated for the particular spectrum.
   iformat=1
   itick=2
   itickln=4
   t_rise=20.d0      ! default
   v_helio=463.
   ymin2=.2d-14
   ymax2=.7d-13
   ymin3=.5
   ymax3=2.6
   wlammin1=3486.87277173995972
   wlammax1=7700.60510969162351
   wlammin2=3486.87277173995972
   wlammax2=7700.60510969162351
   wlammin3=3785.
   wlammax3=7574.
/





     ./figure/sn1994i_1994_04_03.gif 

Postscript plot of the spectrum.





     ./figure/sn1994i_1994_04_03.dif.gif 

Postscript plot of the spectrum with local normalization.





Information from somewhere.


END:
     3481.899765126842340        0.167802580119534
     3483.060591842252506        0.197273630683850
     3484.221805564402530        0.226754506569247
     3485.383406422312419        0.269674178391620
     3486.545394545048566        0.340084257009511
     3487.707770061717383        0.410517809565493
     3488.870533101479396        0.484539034792864
     3490.033683793526507        0.566454937559674
     3491.197222267097004        0.648398150178752
     3492.361148651470103        0.730701856292901
     3493.525463075978223        0.813817258548597
     3494.690165669986072        0.896960370556430
     3495.855256562904287        0.990504918908512
     3497.020735884184887        1.109772798350216
     3498.186603763331732        1.229080440378781
     3499.352860329882787        1.336064874800274
     3500.519505713421950        1.411313683795557
     3501.686540043576315        1.486587579908116
     3502.853963450012998        1.513062646445668
     3504.021776062453227        1.411230413093518
     3505.189978010649611        1.309364230005640
     3506.358569424402504        1.197465498074530
     3507.527550433552278        1.059054200800527
     3508.696921167992514        0.920596758736651
     3509.866681757649985        0.823921679363813
     3511.036832332497852        0.837137985598891
     3512.207373022549291        0.850358698003661
     3513.378303957871594        0.914489175608319
     3514.549625268564341        1.109451166067573
     3515.721337084775314        1.304478154689520
     3516.893439536689584        1.502559723740628
     3518.065932754549522        1.708111684166463
     3519.238816868627509        1.913732173333207
     3520.412092009244589        2.058581776604262
     3521.585758306760454        2.060225902307491
     3522.759815891590279        2.061870576143976
     3523.934264894180615        2.038708969272167
     3525.109105445026671        1.960720663999751
     3526.284337674662311        1.882706358292647
     3527.459961713675511        1.835999707333641
     3528.635977692688357        1.853485249305489
     3529.812385742369315        1.870976620762858
     3530.989185993425963        1.911911833833569
     3532.166378576622265        1.996901360209980
     3533.343963622752653        2.081919221150645
     3534.521941262660675        2.172426090101530
     3535.700311627228530        2.272273855039037
     3536.879074847393895        2.372154908112885
     3538.058231054127191        2.465136899621791
     3539.237780378445223        2.547530643492786
     3540.417722951408905        2.629951856522993
     3541.598058904119625        2.672769703244880
     3542.778788367732886        2.661588908973551
     3543.959911473437842        2.650404387149569
     3545.141428352470029        2.615109175014893
     3546.323339136104551        2.550855482443044
     3547.505643955673804        2.486580368403379
     3548.688342942540203        2.429063027448759
     3549.871436228114817        2.378624809430724
     3551.054923943849190        2.328169775871062
     3552.238806221248979        2.280289278732724
     3553.423083191853038        2.234732236527879
     3554.607754987247972        2.189160006111063
     3555.792821739060400        2.130607714183450
     3556.978283578971059        2.062075049615586
     3558.164140638694789        1.993519537018399
     3559.350393049993272        1.888648904811121
     3560.537040944668661        1.760383913417902
     3561.724084454578588        1.632076159900483
     3562.911523711612062        1.546154961996295
     3564.099358847707663        1.482632316132422
     3565.287589994843074        1.419088492524032
     3566.476217285051462        1.410608668064644
     3567.665240850398732        1.425408194422684
     3568.854660822998994        1.440212654778469
     3570.044477335005467        1.445155380359633
     3571.234690518628668        1.446889640945673
     3572.425300506109124        1.448624479714932
     3573.616307429738299        1.429803416392279
     3574.807711421849490        1.406123526635805
     3575.999512614817831        1.382435742267116
     3577.191711141072119        1.356808981336444
     3578.384307133076163        1.330875946757792
     3579.577300723340159        1.304934266393399
     3580.770692044415682        1.324587167791559
     3581.964481228908426        1.347853878811784
     3583.158668409458187        1.371128346695085
     3584.353253718752967        1.395956632221927
     3585.548237289520330        1.420809037870072
     3586.743619254543773        1.440622551639016
     3587.939399746639538        1.375154719523475
     3589.135578898672065        1.309665061159735
     3590.332156843546727        1.237916107853673
     3591.529133714224372        1.122381367777595
     3592.726509643698137        1.006808109702202
     3593.924284765009816        0.909885714714912
     3595.122459211242131        0.889356706763408
     3596.321033115532828        0.868820854668564
     3597.520006611053304        0.877658171801750
     3598.719379831022707        0.965495433366630
     3599.919152908700653        1.053361978898793
     3601.119325977403150        1.129761703552000
     3602.319899170478948        1.184699463106624
     3603.520872621324997        1.239655538300201
     3604.722246463379179        1.245965415803475
     3605.924020830134850        1.187461718195511
     3607.126195855118567        1.128938516104455
     3608.328771671905997        1.047129470400593
     3609.531748414111917        0.943115146743812
     3610.735126215408854        0.839066145866238
     3611.938905209501172        0.779137994375525
     3613.143085530141889        0.748879540470881
     3614.347667311129953        0.718610998733705
     3615.552650686302513        0.737005674860624
     3616.758035789554924        0.777607984860488
     3617.963822754815283        0.818223831219628
     3619.170011716059889        0.851087195364333
     3620.376602807305062        0.881750363551127
     3621.583596162625327        0.912423754497794
     3622.790991916126586        0.909625867912898
     3623.998790201963857        0.901948729025440
     3625.206991154333082        0.894269030665157
     3626.415594907487048        0.840523905963181
     3627.624601595710374        0.785340673406339
     3628.834011353338155        0.730035079584622
     3630.043824314744597        0.673332780095604
     3631.254040614361202        0.616611576689436
     3632.464660386653122        0.567562608325636
     3633.675683766132806        0.555267970590790
     3634.887110887355448        0.542969233960289
     3636.098941884930809        0.528684396273063
     3637.311176893503671        0.509263279797730
     3638.523816047766559        0.489835688537835
     3639.736859482453838        0.473702334468608
     3640.950307332354896        0.462790555568283
     3642.164159732293683        0.451875138802050
     3643.378416817143261        0.472892379785058
     3644.593078721816710        0.526073082856319
     3645.808145581283952        0.579271515783570
     3647.023617530549473        0.635997477042509
     3648.239494704664594        0.694964807517668
     3649.455777238723840        0.753951797045810
     3650.672465267876760        0.787262074781521
     3651.889558927307462        0.811034577677722
     3653.107058352248714        0.834815006062402
     3654.324963677977394        0.838473102521628
     3655.543275039813579        0.838541816438926
     3656.761992573132375        0.838610553264681
     3657.981116413342988        0.816170852344156
     3659.200646695903288        0.793050402699674
     3660.420583556313431        0.768690262428693
     3661.640927130129512        0.732722722727008
     3662.861677552940819        0.696743191847017
     3664.082834960387117        0.662719576496741
     3665.304399488148192        0.635509125948981
     3666.526371271961125        0.608289603739096
     3667.748750447597104        0.595571068043227
     3668.971537150875520        0.609283565220905
     3670.194731517658511        0.623000633992827
     3671.418333683863239        0.647519209486777
     3672.642343785441881        0.683388343347046
     3673.866761958396637        0.719269435578244
     3675.091588338768815        0.737114069735832
     3676.316823062658386        0.744076761207719
     3677.542466266198971        0.751041773963625
     3678.768518085572850        0.743994982363759
     3679.994978657004140        0.732581140001714
     3681.221848116774254        0.721163492391337
     3682.449126601197804        0.715276358140875
     3683.676814246639424        0.709974750796400
     3684.904911189504674        0.705499595470430
     3686.133417566256412        0.717354872559912
     3687.362333513391604        0.729214102067122
     3688.591659167456783        0.743579610753744
     3689.821394665043499        0.768267825541332
     3691.051540142784688        0.792964271105482
     3692.282095737371947        0.816025064626321
     3693.513061585528703        0.835970123425797
     3694.744437824029774        0.855921831686394
     3695.976224589689991        0.873253080123582
     3697.208422019383306        0.887933160086464
     3698.441030250016411        0.902618134224987
     3699.674049418545110        0.905291392813771
     3700.907479661968409        0.901558477753367
     3702.141321117341249        0.897824318180525
     3703.375573921754039        0.881554644902789
     3704.610238212344939        0.862339441429150
     3705.845314126296216        0.843117831820107
     3707.080801800845165        0.834014232931321
     3708.316701373265005        0.825215726624647
     3709.553012980877611        0.819012932734965
     3710.789736761047152        0.829663614727965
     3712.026872851195094        0.840317847540099
     3713.264421388777009        0.851511889118318
     3714.502382511298947        0.863964692918211
     3715.740756356307429        0.876421648344561
     3716.979543061407639        0.878511467695196
     3718.218742764238868        0.868805082107013
     3719.458355602489519        0.859095460517666
     3720.698381713891195        0.843225389792656
     3721.938821236231433        0.823871557155619
     3723.179674307333698        0.804511272165699
     3724.420941065070110        0.793458523839972
     3725.662621647355536        0.784316528936973
     3726.904716192162141        0.775171486194367
     3728.147224837496651        0.780307402747446
     3729.390147721415815        0.785599047261993
     3730.633484982021400        0.791466058738324
     3731.877236757458832        0.800166738893122
     3733.121403185930376        0.808870319758090
     3734.365984405672407        0.809811180065425
     3735.610980554972684        0.796343854394507
     3736.856391772159441        0.782872038866809
     3738.102218195619571        0.765071073322011
     3739.348459963774076        0.743499834809343
     3740.595117215095343        0.721921404685291
     3741.842190088095776        0.720691699321628
     3743.089678721347354        0.727310789563842
     3744.337583253456160        0.733932086537239
     3745.585903823078297        0.741754691057691
     3746.834640568911254        0.749696425198036
     3748.083793629712545        0.757009024873783
     3749.333363144272425        0.758867118920894
     3750.583349251432082        0.760725832435926
     3751.833752090074995        0.771598977539794
     3753.084571799142395        0.803638657311895
     3754.335808517610531        0.835689018757433
     3755.587462384505670        0.865525952387600
     3756.839533538896831        0.893115305281357
     3758.092022119910325        0.920713856159071
     3759.344928266707939        0.923716158576953
     3760.598252118501932        0.915996201997873
     3761.851993814545494        0.908273671671027
     3763.106153494152295        0.898284121332631
     3764.360731296668291        0.888037665357515
     3765.615727361492191        0.879079618892251
     3766.871141828063173        0.881164544406950
     3768.126974835879992        0.883250165012669
     3769.383226524475504        0.884176890228276
     3770.639897033433954        0.882555138951307
     3771.896986502384152        0.880932847000471
     3773.154495070999928        0.877090390962534
     3774.412422879011956        0.871224653126959
     3775.670770066185469        0.865356959719531
     3776.929536772337542        0.828181213959872
     3778.188723137327088        0.779792727258869
     3779.448329301071681        0.731388108373591
     3780.708355403523001        0.740900739023025
     3781.968801584684570        0.753317677218811
     3783.229667984601747        0.763866572573205
     3784.490954743379007        0.765320947457288
     3785.752662001154931        0.766775807213807
     3787.014789898119034        0.764127626136507
     3788.277338574504938        0.755102856603252
     3789.540308170602202        0.746075078312032
     3790.803698826738128        0.742058861804979
     3792.067510683288674        0.741179170872668
     3793.331743880673912        0.740299186661172
     3794.596398559371664        0.746762262656478
     3795.861474859895679        0.754613760093638
     3797.126972922809273        0.761599987237991
     3798.392892888720326        0.757032307014689
     3799.659234898293562        0.752463103977512
     3800.925999092230086        0.745380448650520
     3802.193185611281933        0.732462984677628
     3803.460794596243431        0.719541214165735
     3804.728826187967115        0.717286211583978
     3805.997280527342355        0.724313486884839
     3807.266157755308086        0.731343105001248
     3808.535458012850995        0.748470705652346
     3809.805181441000514        0.768600958273964
     3811.075328180844281        0.788653063419947
     3812.345898373506316        0.800285964696102
     3813.616892160161115        0.811922744252362
     3814.888309682026375        0.823130093630943
     3816.160151080378000        0.833050400637571
     3817.432416496528276        0.842974014964393
     3818.705106071839509        0.852127552679656
     3819.978219947718571        0.860495879806873
     3821.251758265629633        0.868866996841448
     3822.525721167073243        0.873218098765134
     3823.800108793601339        0.876169665298487
     3825.074921286807694        0.879122215851335
     3826.350158788347017        0.887539873184527
     3827.625821439907668        0.896011622270385
     3828.901909383230304        0.904997071561744
     3830.178422760098329        0.915584236722228
     3831.455361712354261        0.926174931526037
     3832.732726381877001        0.932490019141933
     3834.010516910595015        0.934461968998462
     3835.288733440482247        0.936434576281170
     3836.567376113569480        0.931925961693441
     3837.846445071924791        0.925286223325332
     3839.125940457666729        0.918689041532326
     3840.405862412957504        0.915852438574678
     3841.686211080018893        0.913014889925095
     3842.966986601107692        0.914448496271869
     3844.248189118532537        0.927244430219809
     3845.529818774644809        0.940044630189988
     3846.811875711855919        0.955669988015435
     3848.094360072612744        0.973730002686924
     3849.377271999413551        0.991796038366749
     3850.660611634803900        1.004543010466472
     3851.944379121373458        1.015994546007273
     3853.228574601771015        1.026982836360200
     3854.513198218680827        1.032029569625383
     3855.798250114838538        1.037077985415391
     3857.083730433024357        1.040273480631280
     3858.369639316077155        1.039938143821529
     3859.655976906871274        1.039602695214210
     3860.942743348333806        1.041392272344073
     3862.229938783434136        1.044494502732295
     3863.517563355202583        1.047597767369690
     3864.805617206704028        1.053902145548914
     3866.094100481055648        1.060585060687941
     3867.383013321418730        1.066107781695949
     3868.672355871013679        1.066101010623962
     3869.962128273095914        1.066094237294576
     3871.252330670974516        1.065368017073236
     3872.542963208001311        1.063779885883102
     3873.834026027587242        1.062191225227661
     3875.125519273180089        1.066313330127501
     3876.417443088279015        1.072455196802155
     3877.709797616427295        1.078597477134631
     3879.002583001227322        1.084678620876842
     3880.295799386318777        1.090761792004848
     3881.589446915391818        1.094085205515668
     3882.883525732181170        1.091374091361454
     3884.178035980481582        1.088662073351879
     3885.472977804122820        1.086666666927817
     3886.768351346988311        1.085138801159688
     3888.064156753007865        1.083610426018080
     3889.360394166155857        1.093204858818564
     3890.657063730466689        1.104054901975610
     3891.954165590010689        1.115035712749406
     3893.251699888910480        1.126545503483976
     3894.549666771332795        1.138059131454929
     3895.848066381503486        1.140856901934873
     3897.146898863686147        1.134701929784940
     3898.446164362194395        1.128544905635645
     3899.745863021387777        1.118030506858638
     3901.045994985684956        1.106385020287180
     3902.346560399540977        1.096004802273148
     3903.647559407463632        1.097337566828919
     3904.948992154003918        1.098670775713589
     3906.250858783773310        1.103884177161118
     3907.553159441420121        1.114834599712236
     3908.855894271644502        1.125788673012632
     3910.159063419190261        1.137573526062933
     3911.462667028862143        1.149697316135688
     3912.766705245500816        1.161640904737304
     3914.071178214000156        1.165544066036835
     3915.376086079296783        1.169448528606986
     3916.681428986388710        1.170329687900446
     3917.987207080310327        1.165217705726604
     3919.293420506147868        1.160104019274673
     3920.600069409032130        1.150231322013592
     3921.907153934154394        1.137803115041129
     3923.214674226741863        1.125370764642479
     3924.522630432075402        1.112292618889107
     3925.831022695479078        1.099189388617182
     3927.139851162337436        1.090340416823022
     3928.449115978072314        1.091969622524301
     3929.758817288157388        1.093599371384669
     3931.068955238115450        1.099365526397889
     3932.379529973512490        1.107760706354558
     3933.690541639976800        1.116158685171024
     3935.001990383171687        1.115720348689525
     3936.313876348814574        1.114683458385038
     3937.626199682665629        1.112645393407982
     3938.938960530546865        1.107816036007641
     3940.252159038316677        1.102985068553171
     3941.565795351886209        1.096405432884807
     3942.879869617210261        1.088628208023411
     3944.194381980306389        1.080848390321583
     3945.509332587226254        1.071911265252507
     3946.824721584076542        1.062878781391801
     3948.140549117006685        1.057197179068996
     3949.456815332227961        1.061038192029271
     3950.773520375988937        1.064880485540614
     3952.090664394589112        1.070980046535575
     3953.408247534374368        1.078602565568489
     3954.726269941750616        1.086227625864624
     3956.044731763161053        1.085746580986385
     3957.363633145101630        1.084716416873228
     3958.682974234111953        1.083905879404427
     3960.002755176794835        1.083665852717899
     3961.322976119787654        1.083425746009139
     3962.643637209781900        1.083745634972442
     3963.964738593513630        1.084405800592646
     3965.286280417779835        1.085066186304739
     3966.608262829414798        1.081457992131058
     3967.930685975305096        1.077709679465525
     3969.253550002383236        1.075330453176208
     3970.576855057641296        1.075901414077232
     3971.900601288109556        1.076472565330280
     3973.224788840871042        1.081025587238911
     3974.549417863057442        1.087558070922570
     3975.874488501846372        1.093989780999501
     3977.200000904475019        1.095733492908612
     3978.525955218219224        1.097477786151910
     3979.852351590406670        1.097802388254546
     3981.179190168411424        1.095781196015962
     3982.506471099667124        1.093759329934327
     3983.834194531646517        1.091843874226075
     3985.162360611873282        1.089966365318409
     3986.490969487918392        1.088062907119601
     3987.820021307412389        1.085918855757450
     3989.149516218024473        1.083774089592382
     3990.479454367475228        1.083765136077833
     3991.809835903532530        1.086283799946878
     3993.140660974023831        1.088803303510494
     3994.471929726815233        1.092709554526125
     3995.803642309824681        1.096915065176478
     3997.135798871016959        1.100813750923205
     3998.468399558417332        1.103402463946227
     3999.801444520088353        1.105992040017424
     4001.134933904146237        1.110338667926437
     4002.468867858752674        1.116067236661282
     4003.803246532129833        1.121797715237344
     4005.138070072538994        1.123675067749955
     4006.473338628293277        1.125270903506566
     4007.809052347751731        1.124250208592728
     4009.145211379335251        1.117292727767123
     4010.481815871502022        1.110332927394672
     4011.818865972763888        1.105616114110045
     4013.156361831681352        1.101942515886898
     4014.494303596861300        1.098395046830330
     4015.832691416972011        1.096798458984406
     4017.171525440719506        1.095201338853824
     4018.510805816862558        1.091050873544743
     4019.850532694206322        1.083679842171024
     4021.190706221617802        1.076306353377276
     4022.531326548000379        1.068513232296793
     4023.872393822312461        1.060629413091915
     4025.213908193557472        1.053796273923518
     4026.555869810800232        1.050893336186294
     4027.898278823143755        1.047989430641866
     4029.241135379744719        1.047945307288583
     4030.584439629805274        1.049815076213537
     4031.928191722589418        1.051685468498691
     4033.272391807399345        1.052826891912870
     4034.617040033590001        1.053960854548724
     4035.962136550562718        1.054915820271346
     4037.307681507781581        1.055580632225372
     4038.653675054746600        1.056245665820320
     4040.000117341013265        1.059379945369954
     4041.347008516181631        1.063225962565187
     4042.694348729914964        1.066513567291406
     4044.042138131913362        1.067135420304837
     4045.390376871931494        1.067757480637157
     4046.739065099769050        1.064868980873959
     4048.088202965288929        1.059359808572809
     4049.437790618390864        1.053848799574793
     4050.787828209029612        1.049891267555168
     4052.138315887204499        1.045973623468890
     4053.489253802978510        1.043170205940909
     4054.840642106451469        1.042202391864600
     4056.192480947778222        1.041234255129824
     4057.544770477161819        1.039632282730841
     4058.897510844853969        1.037855097190741
     4060.250702201166405        1.036310220051565
     4061.604344696449971        1.035744448206547
     4062.958438481109170        1.035178487739480
     4064.312983705594888        1.036198704170528
     4065.667980520420770        1.038265796819093
     4067.023429076137290        1.040375599365036
     4068.379329523350407        1.045201877830574
     4069.735682012711095        1.050029765323742
     4071.092486694933541        1.055501831064996
     4072.449743720770130        1.061827109714043
     4073.807453241026906        1.068154497140749
     4075.165615406555844        1.071753762058389
     4076.524230368273038        1.074862071108163
     4077.883298277130962        1.075917452790393
     4079.242819284137113        1.071323419226312
     4080.602793540345829        1.066727854062470
     4081.963221196873292        1.060762549058926
     4083.324102404873884        1.054175351618035
     4084.685437315556555        1.048372642510465
     4086.047226080177097        1.048804869015514
     4087.409468850052690        1.049237239620080
     4088.772165776540987        1.050219413898309
     4090.135317011051484        1.051673956867492
     4091.498922705041423        1.053128984765143
     4092.862983010031712        1.050655658164561
     4094.227498077579185        1.048044195146556
     4095.592468059297971        1.045341957172094
     4096.957893106846313        1.042502039867880
     4098.323773371947027        1.039661175766765
     4099.690109006359307        1.036378531449815
     4101.056900161899648        1.033004012532949
     4102.424146990432746        1.030242446890649
     4103.791849643871501        1.029191633081529
     4105.160008274190659        1.028140468942750
     4106.528623033404074        1.029572853644772
     4107.897694073580169        1.032065029294094
     4109.267221546832843        1.034294810799102
     4110.637205605340569        1.034911482379366
     4112.007646401320017        1.035528359551087
     4113.378544087042428        1.036239202943516
     4114.749898814825428        1.037017739452962
     4116.121710737049398        1.037804462592803
     4117.493980006134734        1.038898487504925
     4118.866706774555496        1.039992877152804
     4120.239891194832126        1.038172740234172
     4121.613533419550549        1.033076288712228
     4122.987633601332163        1.027978138089944
     4124.362191892854753        1.021391630700317
     4125.737208446842487        1.014671519342970
     4127.112683416085019        1.010910842753205
     4128.488616953407472        1.012217160084925
     4129.865009211691358        1.013523912928337
     4131.241860343865483        1.017483892410901
     4132.619170502922316        1.022023260692306
     4133.996939841889798        1.025032714542154
     4135.375168513855897        1.024015210956075
     4136.753856671951326        1.022997368145602
     4138.133004469372281        1.020377115181294
     4139.512612059354069        1.017169505237884
     4140.892679595185655        1.014506975262887
     4142.273207230208754        1.014160743587924
     4143.654195117809650        1.013814396483167
     4145.035643411441015        1.016224911887104
     4146.417552264592814        1.020110426127370
     4147.799921830809581        1.024293415979563
     4149.182752263684961        1.030765736476154
     4150.566043716874447        1.037240214772543
     4151.949796344072638        1.042143436821055
     4153.334010299031434        1.045907722746048
     4154.718685735546387        1.049473320609161
     4156.103822807478537        1.048992055418700
     4157.489421668729847        1.048510629779770
     4158.875482473254124        1.046070980857974
     4160.262005375053377        1.041797274322997
     4161.648990528196009        1.037522142981705
     4163.036438086785893        1.033615100836686
     4164.424348204985108        1.029711220966511
     4165.812721037000301        1.028477846976765
     4167.201556737103601        1.030359001086951
     4168.590855459607155        1.032240782353029
     4169.980617358876771        1.036201954578155
     4171.370842589325548        1.040302893426225
     4172.761531305432072        1.043815970854810
     4174.152683661713127        1.046501209480067
     4175.544299812741883        1.049187343334064
     4176.936379913136079        1.053316134481507
     4178.328924117581664        1.057614465580285
     4179.721932580800967        1.061829856598935
     4181.115405457572706        1.065907635383226
     4182.509342902722892        1.069986773653668
     4183.903745071141202        1.070085470083602
     4185.298612117758239        1.069546711960312
     4186.693944197559176        1.069387034407906
     4188.089741465580119        1.069936725153448
     4189.486004076905374        1.070486599159779
     4190.882732186684734        1.074090912815724
     4192.279925950104371        1.078291764913775
     4193.677585522409572        1.080427192458019
     4195.075711058891102        1.078318411823004
     4196.474302714904297        1.076208928143938
     4197.873360645844514        1.067838245415818
     4199.272885007162586        1.058092020197236
     4200.672875954356641        1.049038790239504
     4202.073333642990292        1.041497044790403
     4203.474258228665349        1.033952785007120
     4204.875649867039101        1.031158911725380
     4206.277508713819770        1.029465806968772
     4207.679834924775605        1.026964456574056
     4209.082628655718509        1.022671038071901
     4210.485890062512226        1.018376188191700
     4211.889619301072344        1.013674105062744
     4213.293816527376293        1.008876397536156
     4214.698481897441525        1.003317284993031
     4216.103615567342786        0.996103653082327
     4217.509217693202118        0.988887616226869
     4218.915288431204317        0.982129140209599
     4220.321827937576927        0.975469267634572
     4221.728836368601151        0.969683568543908
     4223.136313880607304        0.965696156008657
     4224.544260629990276        0.961707414114336
     4225.952676773184066        0.958586313601322
     4227.361562466679970        0.955633664091599
     4228.770917867020216        0.953251740297178
     4230.180743130796145        0.951939296775860
     4231.591038414662762        0.950626415700442
     4233.001803875316000        0.949172366482617
     4234.413039669508180        0.947695240872202
     4235.824745954037098        0.945705761880809
     4237.236922885768763        0.942870437108730
     4238.649570621608291        0.940034167070856
     4240.062689318514458        0.935965303339794
     4241.476279133497883        0.931750281766730
     4242.890340223631938        0.927378506360457
     4244.304872746030014        0.922785761983248
     4245.719876857863710        0.918191486436062
     4247.135352716350098        0.913829715226035
     4248.551300478772646        0.909482455304769
     4249.967720302455746        0.905087883547067
     4251.384612344778361        0.900637974112894
     4252.801976763169478        0.896186581128344
     4254.219813715121745        0.893398659548485
     4255.638123358169651        0.890634030011561
     4257.056905849901341        0.888483141080868
     4258.476161347956804        0.886914020828547
     4259.895890010038784        0.885390557300487
     4261.316091993890041        0.884886264004237
     4262.736767457312453        0.884381802582201
     4264.157916558152465        0.884738302564773
     4265.579539454325641        0.885730945684550
     4267.001636303785745        0.886695043429855
     4268.424207264542929        0.887423700811648
     4269.847252494656459        0.888152601119718
     4271.270772152251084        0.887886660356276
     4272.694766395491570        0.887073029749713
     4274.119235382599982        0.885868057889551
     4275.544179271849316        0.882916861331791
     4276.969598221563501        0.879964680877879
     4278.395492390130130        0.876996445279974
     4279.821861935978632        0.874021445493181
     4281.248707017593915        0.871582943913933
     4282.676027793509093        0.870634572787136
     4284.103824422326397        0.869685885483934
     4285.532097062683533        0.869663174318848
     4286.960845873278231        0.869859157446306
     4288.390071012855515        0.870750626208835
     4289.819772640227711        0.872905912954928
     4291.249950914245346        0.875061918249686
     4292.680605993817153        0.877616785811458
     4294.111738037900977        0.880215251736017
     4295.543347205521059        0.882081742645469
     4296.975433655738925        0.883064101652649
     4298.407997547676132        0.884048547788808
     4299.841039040501528        0.885375992687501
     4301.274558293451264        0.886703880141587
     4302.708555465801510        0.888534467494603
     4304.143030716883914        0.890761756949620
     4305.577984206081055        0.892846825961174
     4307.013416092840998        0.893833762970712
     4308.449326536651824        0.894821029014089
     4309.885715697058913        0.896324408858266
     4311.322583733655847        0.898078776788052
     4312.759930806104421        0.900071731111724
     4314.197757074106448        0.902848352981291
     4315.636062697418311        0.905625900545753
     4317.074847835848232        0.906783897011039
     4318.514112649269919        0.907524624823591
     4319.953857297598006        0.908277579492815
     4321.394081940803517        0.909052173643064
     4322.834786738911134        0.909827026034400
     4324.275971851995564        0.909930396714631
     4325.717637440196995        0.909979316593749
     4327.159783663694725        0.909144749014000
     4328.602410682729897        0.907400749785897
     4330.045518657587309        0.905749038740811
     4331.489107748622700        0.905483920778953
     4332.933178116230920        0.905218714429710
     4334.377729920862294        0.905811174689291
     4335.822763323019899        0.906897812279647
     4337.268278483270478        0.908063132085320
     4338.714275562223520        0.909526386687923
     4340.160754720545810        0.910990129123363
     4341.607716118950520        0.912278546298051
     4343.055159918222671        0.913518992919796
     4344.503086279182753        0.914461127425834
     4345.951495362713104        0.914876735700077
     4347.400387329743353        0.915292482533503
     4348.849762341269525        0.915917949786755
     4350.299620558328570        0.916556636788482
     4351.749962142017466        0.916778051438473
     4353.200787253479575        0.916618987714728
     4354.652096053927380        0.916447105025849
     4356.103888704612473        0.916168331319365
     4357.556165366844652        0.915889464672823
     4359.008926201984650        0.915939041543990
     4360.462171371458680        0.916134699375326
     4361.915901036734795        0.916273952407995
     4363.370115359336523        0.916267826211210
     4364.824814500844695        0.916261697972019
     4366.279998622888343        0.918014112347201
     4367.735667887162890        0.920031947309151
     4369.191822455404690        0.922486285787691
     4370.648462489409212        0.925452198946026
     4372.105588151020129        0.928410070982114
     4373.563199602150235        0.931209873860558
     4375.021297004752341        0.934010610162193
     4376.479880520835650        0.936487978729696
     4377.938950312460292        0.938790694459759
     4379.398506541756433        0.941136498499828
     4380.858549370890614        0.943612787326559
     4382.319078962090316        0.946089901720485
     4383.780095477632130        0.950780668680160
     4385.241599079860862        0.955878684642393
     4386.703589931160423        0.961375372370291
     4388.166068193973842        0.967366961573993
     4389.629034030795083        0.973360531078539
     4391.092487604185408        0.979355763900227
     4392.556429076744280        0.985352995465956
     4394.020858611133917        0.990650008042741
     4395.485776370063832        0.995576776863119
     4396.951182516310837        0.999763057272057
     4398.417077212693584        1.001842981832925
     4399.883460622088933        1.003923599817543
     4401.350332907425582        1.006052819985671
     4402.817694231695896        1.008189969931065
     4404.285544757937714        1.011347540739450
     4405.753884649244355        1.015612927778833
     4407.222714068760069        1.019954347683216
     4408.692033179698228        1.025033780039761
     4410.161842145310402        1.030114905822644
     4411.632141128910007        1.035579546630048
     4413.102930293863210        1.041204799175787
     4414.574209803586200        1.046688501361609
     4416.045979821564288        1.051872712349891
     4417.518240511321892        1.057058651696543
     4418.990992036444368        1.061172812160712
     4420.464234560566183        1.065220580252924
     4421.937968247389108        1.069393443913423
     4423.412193260658569        1.073664695527870
     4424.886909764175471        1.078159982148349
     4426.362117921793470        1.083654015863336
     4427.837817897434434        1.089149881228172
     4429.314009855059339        1.093669797799379
     4430.790693958689189        1.097956258326522
     4432.267870372396828        1.101797299268201
     4433.745539260321493        1.105051829673196
     4435.223700786643349        1.108337571775692
     4436.702355115603496        1.112101079110995
     4438.181502411492147        1.115865841157839
     4439.661142838667729        1.119342246010318
     4441.141276561530503        1.122688974673698
     4442.621903744539850        1.126294094105640
     4444.103024552205170        1.130446896890465
     4445.584639149104987        1.134601084173637
     4447.066747699857842        1.139319603727934
     4448.549350369142303        1.144067298364813
     4450.032447321687869        1.148345919362014
     4451.516038722293160        1.152296505950479
     4453.000124735795907        1.156215222485504
     4454.484705527094775        1.160021009785244
     4455.969781261138451        1.163828065892194
     4457.455352102944744        1.169153587733654
     4458.941418217572391        1.174719998832030
     4460.427979770141064        1.179973685001127
     4461.915036925822278        1.184920054012437
     4463.402589849841206        1.189600943689459
     4464.890638707490325        1.192731848415458
     4466.379183664103948        1.195863796950324
     4467.868224885075506        1.198196986355515
     4469.357762535850270        1.200319840221297
     4470.847796781940815        1.201869898643978
     4472.338327788902461        1.202682493246046
     4473.829355722349646        1.203429018146232
     4475.320880747947740        1.203464466417473
     4476.812903031430324        1.203499926506775
     4478.305422738573725        1.204067621641892
     4479.798440035212479        1.204827281441500
     4481.291955087233873        1.205833251485204
     4482.785968060593405        1.207229672002533
     4484.280479121286589        1.208604983975125
     4485.775488435370789        1.209467195678802
     4487.270996168954298        1.210329694834284
     4488.767002488212711        1.211247037954237
     4490.263507559365280        1.212188558358100
     4491.760511548690374        1.212889871830049
     4493.258014622516384        1.213150177071305
     4494.756016947241733        1.213396255754003
     4496.254518689307588        1.212446470498535
     4497.753520015212416        1.211496368595212
     4499.253021091509254        1.210062119325445
     4500.753022084817530        1.208391895138520
     4502.253523161799421        1.206387454023151
     4503.754524489178038        1.203720779201759
     4505.256026233730154        1.201053215340596
     4506.758028562285290        1.197196376902268
     4508.260531641741181        1.193337971453009
     4509.763535639039219        1.188873522303883
     4511.267040721179001        1.184104310031704
     4512.771047055211966        1.179511575025456
     4514.275554808260495        1.175272209291587
     4515.780564147485165        1.171034432363418
     4517.286075240111131        1.167533670640935
     4518.792088253411748        1.164031741803380
     4520.298603354732222        1.161076976427538
     4521.805620711456868        1.158384360492161
     4523.313140491032755        1.155794692125897
     4524.821162860958793        1.153397653539346
     4526.329687988800288        1.151007901558228
     4527.838716042167107        1.148937855314511
     4529.348247188730056        1.146867118940364
     4530.858281596208144        1.144986602064773
     4532.368819432394957        1.143186615662435
     4533.879860865120463        1.141433811764090
     4535.391406062281021        1.139758180428045
     4536.903455191819376        1.138088794006131
     4538.416008421751030        1.136522920371133
     4539.929065920132416        1.134956524691255
     4541.442627855081810        1.132443466868510
     4542.956694394767510        1.129603759324337
     4544.471265707428756        1.127078751175571
     4545.986341961345715        1.124974511426895
     4547.501923324861309        1.123168919872387
     4549.018009966368481        1.123683674490790
     4550.534602054330207        1.124198600722667
     4552.051699757253118        1.125715603771000
     4553.569303243702961        1.127480311673559
     4555.087412682301874        1.129163811742772
     4556.606028241723834        1.130763325639685
     4558.125150090714669        1.132456828656164
     4559.644778398060225        1.134567650741330
     4561.164913332607284        1.136679176551137
     4562.685555063256288        1.136669325161150
     4564.206703758976801        1.136360128361218
     4565.728359588779313        1.135047214990079
     4567.250522721738889        1.132980840792937
     4568.773193326977889        1.131239451226788
     4570.296371573692340        1.130386660716822
     4571.820057631119198        1.129533585895971
     4573.344251668557263        1.128803497156519
     4574.868953855356267        1.128077422884380
     4576.394164360937793        1.126320724302198
     4577.919883354765261        1.124048682082854
     4579.446111006361207        1.121445039237575
     4580.972847485303646        1.118274500966086
     4582.500092961237897        1.115111724428989
     4584.027847603853843        1.112060366386063
     4585.556111582902304        1.109007991054250
     4587.084885068185031        1.105502258589726
     4588.614168229575625        1.101866462123952
     4590.143961236989526        1.098717400263145
     4591.674264260404016        1.096084321364738
     4593.205077469848220        1.093508577104744
     4594.736401035421295        1.091172903426272
     4596.268235127266053        1.088836451060134
     4597.800579915586241        1.086214129409169
     4599.333435570641996        1.083561150253845
     4600.866802262746205        1.081729772238313
     4602.400680162281787        1.080406322331721
     4603.935069439676226        1.079592383543422
     4605.469970265416123        1.079803173004883
     4607.005382810041738        1.080032065465583
     4608.541307244163363        1.080616453550379
     4610.077743738435856        1.081201036463674
     4611.614692463572283        1.079772418184103
     4613.152153590342095        1.077728375960805
     4614.690127289582961        1.074120225769356
     4616.228613732176200        1.068854213368265
     4617.767613089064071        1.063191292487428
     4619.307125531242491        1.056010585509305
     4620.847151229777410        1.048827484563196
     4622.387690355778432        1.043797237167155
     4623.928743080417007        1.038928149938051
     4625.470309574915518        1.036430679069397
     4627.012390010569106        1.035185622856240
     4628.554984558714750        1.034237416430126
     4630.098093390753093        1.033772194504672
     4631.641716678134799        1.033152993168148
     4633.185854592383293        1.031276093824129
     4634.730507305064748        1.029398568742711
     4636.275674987808088        1.026330053789335
     4637.821357812292263        1.023031827054286
     4639.367555950270798        1.018605651746079
     4640.914269573537240        1.013329305188749
     4642.461498853950616        1.008403923350922
     4644.009243963419067        1.004285627534482
     4645.557505073923494        1.000232366493911
     4647.106282357489363        0.997826427041104
     4648.655575986203075        0.995419685474800
     4650.205386132207423        0.992501881053737
     4651.755712967698855        0.989435307295324
     4653.306556664945674        0.987161405836299
     4654.857917396258927        0.985637788459011
     4656.409795334012415        0.983949413805580
     4657.962190650632692        0.981777904565432
     4659.515103518616343        0.979605671368213
     4661.068534110505425        0.976580844995301
     4662.622482598902934        0.973551402213966
     4664.176949156465525        0.971440494765427
     4665.731933955920795        0.969653197370464
     4667.287437170039993        0.967642462202803
     4668.843458971657128        0.965393929497118
     4670.399999533658956        0.962934797547516
     4671.957059029003176        0.959777785921279
     4673.514637630692050        0.956619721782424
     4675.072735511790597        0.952256862027804
     4676.631352845414767        0.947867998381680
     4678.190489804754179        0.942328601368369
     4679.750146563042108        0.936362939735206
     4681.310323293572765        0.929945790840282
     4682.871020169695839        0.923043880312206
     4684.432237364830144        0.916459072914700
     4685.993975052440874        0.910906657456753
     4687.556233406052343        0.905352390885155
     4689.119012599246162        0.901409628042660
     4690.682312805673064        0.897479772122563
     4692.246134199029257        0.894220420664632
     4693.810476953070975        0.891186020633524
     4695.375341241609931        0.888129438158715
     4696.940727238530599        0.885051244272091
     4698.506635117758378        0.882000700596677
     4700.073065053284154        0.879027746642968
     4701.640017219155197        0.876045414103063
     4703.207491789472442        0.872784779988197
     4704.775488938410490        0.869523058814115
     4706.344008840183960        0.866216442554738
     4707.913051669075685        0.862897291197440
     4709.482617599416699        0.860076065332087
     4711.052706805614434        0.857648563699918
     4712.623319462117252        0.855620812918583
     4714.194455743438084        0.854422705468038
     4715.766115824143526        0.853316621952599
     4717.338299878871112        0.853099512936489
     4718.911008082303852        0.852882331538643
     4720.484240609186600        0.853105770236755
     4722.057997634318781        0.853398365878728
     4723.632279332570761        0.853502834674882
     4725.207085878859289        0.853499831454454
     4726.782417448162050        0.853020548943457
     4728.358274215510392        0.851856094635749
     4729.934656356011146        0.850701503717355
     4731.511564044811166        0.849591554745701
     4733.088997457123696        0.848481235729385
     4734.666956768213822        0.847311047808988
     4736.245442153419390        0.846138147238058
     4737.824453788123719        0.845194357639821
     4739.403991847771977        0.844330466327162
     4740.984056507863897        0.843963984948083
     4742.564647943971977        0.844054501035232
     4744.145766331712366        0.844116676885845
     4745.727411846764880        0.844113657012179
     4747.309584664868453        0.844147737195308
     4748.892284961814767        0.844572673649573
     4750.475512913469174        0.844997751772933
     4752.059268695740684        0.845325288818197
     4753.643552484602878        0.845638577676308
     4755.228364456081181        0.845269811826508
     4756.813704786277412        0.844547365557815
     4758.399573651334322        0.842968911804503
     4759.985971227459231        0.840331495080267
     4761.572897690914942        0.837525632150013
     4763.160353218036107        0.834179760826126
     4764.748337985201033        0.830887490547348
     4766.336852168852602        0.829436409190855
     4767.925895945487355        0.827984844059957
     4769.515469491676413        0.827886603360008
     4771.105572984033643        0.828081220896548
     4772.696206599237485        0.828996654224254
     4774.287370514020040        0.830359697203406
     4775.879064905186169        0.831580920982038
     4777.471289949587117        0.832600839620937
     4779.064045824135974        0.833022493463819
     4780.657332705801309        0.831216418067782
     4782.251150771624452        0.829397216406708
     4783.845500198692207        0.826509800697624
     4785.440381164153223        0.823621422356208
     4787.035793845211629        0.821080167974480
     4788.631738419146131        0.818618147393629
     4790.228215063279094        0.816466986430443
     4791.825223954996545        0.814509434779521
     4793.422765271738172        0.813108731089229
     4795.020839191019149        0.812475630329505
     4796.619445890399220        0.811900470827180
     4798.218585547499970        0.811523364788793
     4799.818258340003922        0.811155480761447
     4801.418464445647260        0.811047887593107
     4803.019204042241654        0.810940258554398
     4804.620477307641522        0.811433483349821
     4806.222284419765856        0.812037887622925
     4807.824625556588217        0.812432121828461
     4809.427500896156744        0.812715713137620
     4811.030910616563233        0.812713503963016
     4812.634854895964963        0.812385883768441
     4814.239333912573784        0.811854768367403
     4815.844347844673393        0.810805376887161
     4817.449896870593875        0.809666240694388
     4819.055981168730796        0.807701325705938
     4820.662600917531563        0.805735755636658
     4822.269756295520892        0.802961283149280
     4823.877447481265335        0.800110913908955
     4825.485674653397837        0.797343972547083
     4827.094437990605002        0.794606675478900
     4828.703737671648923        0.791573186463181
     4830.313573875335351        0.788301575229150
     4831.923946780535516        0.784663333674216
     4833.534856566173403        0.780419244386637
     4835.146303411250301        0.776183163525009
     4836.758287494810247        0.771983242787810
     4838.370808995962761        0.767784625005191
     4839.983868093871024        0.763686512787945
     4841.597464967775522        0.759587034305580
     4843.211599796958581        0.756004690901917
     4844.826272760768916        0.752510720281945
     4846.441484038608905        0.750198199666296
     4848.057233809957324        0.748438525773694
     4849.673522254337513        0.747077759539758
     4851.290349551335567        0.746098597231908
     4852.907715880599426        0.744897589882699
     4854.525621421832511        0.743271402634502
     4856.144066354811002        0.741608103254702
     4857.763050859357463        0.739772940946379
     4859.382575115358122        0.737945518100477
     4861.002639302757416        0.736892321571828
     4862.623243601569811        0.735838773919149
     4864.244388191859798        0.735188755099347
     4865.866073253752802        0.734611517260576
     4867.488298967431547        0.734541340656632
     4869.111065513154244        0.734704670122970
     4870.734373071221853        0.735372778311023
     4872.358221822003543        0.736499329607222
     4873.982611945920326        0.737598191069992
     4875.607543623470519        0.738648614577568
     4877.233017035197918        0.739791790333944
     4878.859032361709069        0.741287995545066
     4880.485589783668729        0.742789775603778
     4882.112689481815323        0.744385166549447
     4883.740331636932751        0.745981089380741
     4885.368516429868578        0.746924866544664
     4886.997244041529484        0.747794253394115
     4888.626514652894002        0.748737634384055
     4890.256328444987048        0.749706633108049
     4891.886685598899930        0.750855427649785
     4893.517586295777619        0.752127724394013
     4895.149030716841480        0.753281058463514
     4896.781019043358356        0.754284882814434
     4898.413551456660571        0.755510062236463
     4900.046628138139567        0.757263504340628
     4901.680249269244086        0.759132121804788
     4903.314415031497447        0.761658614866851
     4904.949125606469352        0.764183561288506
     4906.584381175793169        0.765994922915221
     4908.220181921158655        0.767806888429780
     4909.856528024332874        0.770222555618011
     4911.493419667126545        0.772737456127272
     4913.130857031415871        0.775339029121411
     4914.768840299133444        0.777975249306604
     4916.407369652289162        0.779681111001911
     4918.046445272933852        0.780704921669393
     4919.686067343190189        0.781984460301385
     4921.326236045230871        0.783592123962048
     4922.966951561307724        0.785308437969014
     4924.608214073718045        0.787277005024919
     4926.250023764823709        0.789184300378399
     4927.892380817042977        0.790777727823909
     4929.535285412870508        0.792384169916999
     4931.178737734846436        0.794393899717984
     4932.822737965575470        0.796404299540566
     4934.467286287719617        0.797454667670450
     4936.112382884017279        0.798395193879794
     4937.758027937250517        0.799100115544737
     4939.404221630271422        0.799733063811095
     4941.050964145982107        0.801088379898846
     4942.698255667366539        0.802857952235587
     4944.346096377450522        0.805207834077839
     4945.994486459328073        0.808121512999204
     4947.643426096148687        0.811305827148933
     4949.292915471138258        0.814930414927852
     4950.942954767568153        0.818350924821294
     4952.593544168775225        0.821172891356634
     4954.244683858159988        0.823817440300913
     4955.896374019174800        0.825281233255544
     4957.548614835353874        0.826738443651413
     4959.201406490272348        0.827397580686688
     4960.854749167574482        0.828056937470931
     4962.508643050960018        0.828845275057034
     4964.163088324204182        0.829650136101099
     4965.818085171131315        0.830618299633116
     4967.473633775627604        0.831635905244640
     4969.129734321639262        0.832858918962136
     4970.786386993186170        0.834192484640315
     4972.443591974338233        0.835350364183399
     4974.101349449227200        0.836355032813011
     4975.759659602043030        0.837161778797352
     4977.418522617054805        0.837694181849197
     4979.077938678573446        0.838291799003628
     4980.737907970979904        0.839037218349586
     4982.398430678708792        0.839841012082390
     4984.059506986273846        0.840886667022856
     4985.721137078233369        0.841945448219376
     4987.383321139213876        0.843144821462939
     4989.046059353896453        0.844344594564218
     4990.709351907040400        0.845829637077566
     4992.373198983450493        0.847322612664491
     4994.037600767998811        0.849770953654702
     4995.702557445614730        0.852366511967807
     4997.368069201302205        0.855195249096175
     4999.034136220114306        0.858097868890358
     5000.700758687167763        0.860874215672991
     5002.367936787644794        0.863584919040512
     5004.035670706781275        0.866373414032102
     5005.703960629891299        0.869224869343217
     5007.372806742336252        0.871631053703140
     5009.042209229542095        0.873496832188822
     5010.712168276992998        0.875303704995194
     5012.382684070251344        0.877001500978988
     5014.053756794924084        0.879119987300724
     5015.725386636685471        0.882478454508466
     5017.397573781267965        0.885931151456598
     5019.070318414480425        0.889888660313837
     5020.743620722177184        0.893846396383705
     5022.417480890281695        0.897788442397667
     5024.091899104772892        0.901731802645982
     5025.766875551708836        0.905789072026940
     5027.442410417190331        0.909851644638581
     5029.118503887390034        0.913440399115432
     5030.795156148533351        0.916961419471511
     5032.472367386927544        0.920706182460713
     5034.150137788923530        0.924514244968077
     5035.828467540939528        0.928770451287293
     5037.507356829451965        0.933226863641080
     5039.186805841014575        0.937934842474577
     5040.866814762227477        0.942808550890070
     5042.547383779758093        0.947859975985371
     5044.228513080332050        0.953077758507143
     5045.910202850750466        0.958291841420353
     5047.592453277863569        0.963500489353266
     5049.275264548587074        0.968813960242821
     5050.958636849896720        0.974323021696937
     5052.642570368841916        0.980021065296111
     5054.327065292523002        0.986241135505502
     5056.012121808105803        0.992311936748252
     5057.697740102817988        0.997711112578810
     5059.383920363945435        1.003007132376310
     5061.070662778852238        1.007398131407689
     5062.757967534949785        1.011783868457862
     5064.445834819714946        1.015913733223527
     5066.134264820683711        1.020044974840229
     5067.823257725471194        1.024176730924259
     5069.512813721736165        1.028309817763082
     5071.202932997207427        1.032330477891196
     5072.893615739671986        1.036335954714674
     5074.584862136993252        1.039967329669979
     5076.276672377081923        1.043505608696150
     5077.969046647916912        1.046844074355475
     5079.661985137535339        1.050108061600205
     5081.355488034050722        1.052708474734326
     5083.049555525626602        1.054960575429402
     5084.744187800491090        1.056943764642258
     5086.439385046932330        1.058737031696408
     5088.135147453314858        1.060507309834689
     5089.831475208053234        1.062256200695049
     5091.528368499627504        1.063764035596219
     5093.225827516575919        1.064978032713763
     5094.923852447514946        1.066264126133022
     5096.622443481110167        1.067664957357048
     5098.321600806092647        1.069201641605188
     5100.021324611253476        1.071024611108387
     5101.721615085461053        1.072953160214806
     5103.422472417631070        1.075182827150662
     5105.123896796747431        1.077401078654381
     5106.825888411852247        1.079570747842502
     5108.528447452065848        1.081718653782856
     5110.231574106557673        1.083726868040517
     5111.935268564562648        1.085685905149410
     5113.639531015380271        1.087070297469420
     5115.344361648368249        1.088453715208846
     5117.049760652962505        1.089776154425059
     5118.755728218646254        1.091099034527822
     5120.462264534971837        1.091929520949189
     5122.169369791548888        1.092743647042340
     5123.877044178067081        1.092951816160932
     5125.585287884261561        1.093102467952473
     5127.294101099937507        1.093539607080549
     5129.003484014958303        1.094023304473473
     5130.713436819265553        1.094713923588625
     5132.423959702849061        1.095453500703424
     5134.135052855766844        1.096069292191570
     5135.846716468135128        1.096645990764886
     5137.558950730148354        1.097487951033199
     5139.271755832050985        1.098437980079492
     5140.985131964152970        1.099815538322447
     5142.699079316826101        1.101409899193253
     5144.413598080518568        1.103338046806872
     5146.128688445727676        1.105472702850392
     5147.844350603018029        1.108211760701066
     5149.560584743013351        1.111400032590774
     5151.277391056418310        1.114508311326479
     5152.994769733983048        1.117546021986430
     5154.712720966526831        1.120173320241053
     5156.431244944929858        1.122372332016378
     5158.150341860147819        1.124289884755515
     5159.870011903186423        1.125862241693769
     5161.590255265120504        1.127228667900688
     5163.311072137088559        1.128299191268813
     5165.032462710287291        1.129415450333124
     5166.754427175992532        1.130608279241180
     5168.476965725527407        1.131971601737502
     5170.200078550286889        1.133669585163924
     5171.923765841721433        1.135588935144378
     5173.648027791363347        1.138017543806567
     5175.372864590790414        1.140302255565191
     5177.098276431653176        1.142195499042995
     5178.824263505657655        1.144054165651897
     5180.550826004589908        1.145800526665451
     5182.277964120286924        1.147758082804103
     5184.005678044652086        1.150522014398967
     5185.733967969646983        1.153375333271241
     5187.462834087316878        1.156637716180342
     5189.192276589750691        1.159946515223036
     5190.922295669110099        1.163512384478521
     5192.652891517613170        1.167156879682714
     5194.384064327558917        1.171349094674615
     5196.115814291295464        1.175449682771463
     5197.848141601238240        1.178706362734284
     5199.581046449864516        1.181872936789720
     5201.314529029727964        1.183924554891771
     5203.048589533434097        1.185971431356918
     5204.783228153654818        1.187922624941363
     5206.518445083123879        1.189865896725549
     5208.254240514652338        1.191554022607529
     5209.990614641102184        1.193245305248490
     5211.727567655403618        1.195135476721289
     5213.465099750545050        1.197026278356260
     5215.203211119597654        1.199667851810210
     5216.941901955678986        1.202314263635205
     5218.681172451977545        1.204493773809141
     5220.421022801744584        1.206663461354040
     5222.161453198292293        1.208428329209606
     5223.902463835011986        1.210177982921386
     5225.644054905344092        1.212632176922148
     5227.386226602799070        1.215125491376015
     5229.128979120945587        1.217249515376077
     5230.872312653434165        1.219348792941485
     5232.616227393962617        1.220965786725224
     5234.360723536299702        1.222543738378755
     5236.105801274272380        1.224384343460316
     5237.851460801789472        1.226250161084897
     5239.597702312807087        1.227303631664217
     5241.344526001354097        1.228272615741086
     5243.091932061513944        1.228237719861881
     5244.839920687454651        1.228088933172646
     5246.588492073392445        1.227877904649296
     5248.337646413612674        1.227659286115866
     5250.087383902459806        1.227372339875315
     5251.837704734360159        1.227076642279979
     5253.588609103789167        1.226692780039999
     5255.340097205291386        1.226297247365791
     5257.092169233470486        1.226925251438505
     5258.844825383013813        1.227690256490554
     5260.598065848653277        1.229115633469062
     5262.351890825193550        1.230630259591925
     5264.106300507501146        1.232475585922860
     5265.861295090518979        1.234365648326792
     5267.616874769240894        1.236078353144180
     5269.373039738733496        1.237768302960409
     5271.129790194117959        1.238288391797665
     5272.887126330601859        1.238660235014722
     5274.645048343438248        1.238870460317314
     5276.403556427952935        1.239061197524042
     5278.162650779533578        1.239331857017012
     5279.922331593632407        1.239611666776467
     5281.682599065778049        1.239774072864827
     5283.443453391550975        1.239924259357593
     5285.204894766602592        1.240943088415749
     5286.966923386642520        1.242043928878944
     5288.729539447462230        1.243594321768472
     5290.492743144902306        1.245182172950326
     5292.256534674876093        1.246120504798925
     5294.020914233353324        1.247014169436537
     5295.785882016387404        1.247082523235319
     5297.551438220079945        1.247105498781430
     5299.317583040604404        1.246657170256815
     5301.084316674194270        1.246189964718721
     5302.851639317163063        1.245283241297611
     5304.619551165875237        1.244365875136262
     5306.388052416765277        1.244104800796290
     5308.157143266328603        1.243863199476810
     5309.926823911140673        1.244949587880626
     5311.697094547826055        1.246060397294562
     5313.467955373083896        1.247935515878352
     5315.239406583670643        1.249806543156194
     5317.011448376424596        1.251590407907287
     5318.784080948233168        1.253309853225291
     5320.557304496056531        1.254201195408487
     5322.331119216913066        1.255042368085766
     5324.105525307905737        1.255407563916177
     5325.880522966184799        1.255737254865305
     5327.656112388971451        1.255806235198490
     5329.432293773553283        1.255786375485942
     5331.209067317279732        1.255246075399073
     5332.986433217579361        1.254587012736504
     5334.764391671933481        1.253360112901627
     5336.542942877891619        1.251925629838109
     5338.322087033065145        1.249667496139981
     5340.101824335149104        1.247671404705419
     5341.882154981885833        1.246551321272659
     5343.663079171088611        1.245930633741216
     5345.444597100634383        1.246721277914298
     5347.226708968479215        1.247550062084833
     5349.009414972631930        1.248470242922790
     5350.792715311167740        1.249310111109305
     5352.576610182228251        1.249984378183550
     5354.361099784034195        1.250131040680011
     5356.146184314857237        1.249346591533718
     5357.931863973039071        1.248059594542355
     5359.718138956983239        1.246011748930423
     5361.505009465176954        1.244303938248298
     5363.292475696154725        1.243037956541242
     5365.080537848523818        1.242129836293612
     5366.869196120953347        1.241619549785816
     5368.658450712192462        1.241341018680798
     5370.448301821043060        1.241282111160432
     5372.238749646377983        1.242217485964855
     5374.029794387128277        1.243951516055036
     5375.821436242312302        1.246410701468474
     5377.613675410993892        1.249359674315625
     5379.406512092312369        1.252154154225947
     5381.199946485465262        1.254862402750326
     5382.993978789734683        1.256930964567975
     5384.788609204451859        1.258706650789224
     5386.583837929018955        1.258889931089221
     5388.379665162907258        1.258490007906758
     5390.176091105648084        1.257534259224791
     5391.973115956854599        1.256421006595851
     5393.770739916189996        1.255969287134272
     5395.568963183390224        1.255654629817781
     5397.367785958253990        1.255726361208261
     5399.167208440660943        1.255851643985947
     5400.967230830539847        1.255646239032227
     5402.767853327895864        1.255415748818006
     5404.569076132790542        1.255687318422589
     5406.370899445370924        1.255965822042068
     5408.173323465834983        1.256185157779115
     5409.976348394451634        1.256352151565050
     5411.779974431551636        1.255996979044427
     5413.584201777548515        1.255642391718491
     5415.389030632906724        1.255291750328992
     5417.194461198163481        1.254847151226931
     5419.000493673915116        1.254038923219705
     5420.807128260844365        1.253240701316050
     5422.614365159682166        1.252470849212222
     5424.422204571232214        1.251645010104552
     5426.230646696361873        1.250702730278690
     5428.039691736017630        1.249665047738998
     5429.849339891201453        1.248475508680234
     5431.659591362983520        1.247494429972464
     5433.470446352497675        1.246770113515927
     5435.281905060961435        1.246406709957735
     5437.093967689643250        1.246387221937613
     5438.906634439882509        1.246201293051163
     5440.719905513086815        1.245893429365858
     5442.533781110723794        1.245246717977887
     5444.348261434349297        1.244412268334703
     5446.163346685563738        1.243057119292593
     5447.979037066045748        1.241490306590864
     5449.795332777530348        1.239294153603904
     5451.612234021842596        1.236920116275608
     5453.429741000852118        1.234896523983436
     5455.247853916505846        1.232934079763362
     5457.066572970808920        1.231255523032340
     5458.885898365853791        1.229600578417535
     5460.705830303782932        1.227546735221043
     5462.526368986808848        1.225416429442362
     5464.347514617209526        1.222280322113618
     5466.169267397344811        1.219132860601846
     5467.991627529627294        1.215922675791561
     5469.814595216540511        1.212724293236129
     5471.638170660630749        1.209570613369392
     5473.462354064528881        1.206444172331266
     5475.287145630916712        1.203383636676898
     5477.112545562547893        1.200411981257121
     5478.938554062240655        1.197588648119789
     5480.765171332895079        1.194858467434144
     5482.592397577462179        1.192239711015694
     5484.420232998969368        1.189424141077055
     5486.248677800501355        1.186438726562678
     5488.077732185231071        1.183235927266677
     5489.907396356381469        1.179899157777579
     5491.737670517248262        1.176761882391550
     5493.568554871189917        1.173708232799576
     5495.400049621647668        1.170124170441082
     5497.232154972117314        1.166396579936903
     5499.064871126165599        1.161974668497338
     5500.898198287427476        1.157451588388302
     5502.732136659599746        1.151932115448449
     5504.566686446465610        1.146346008683591
     5506.401847851858292        1.140283398572166
     5508.237621079682867        1.134411020509683
     5510.074006333910802        1.129718240955029
     5511.911003818595418        1.125445451998309
     5513.748613737840969        1.122575141267084
     5515.586836295828107        1.120209595700047
     5517.425671696795689        1.118902577151143
     5519.265120145071705        1.117859749987107
     5521.105181845034167        1.117187217752518
     5522.945857001133845        1.116285920922656
     5524.787145817883356        1.115165792187872
     5526.629048499882629        1.113678363220101
     5528.471565251782522        1.111952914239782
     5530.314696278306656        1.110540024996194
     5532.158441784240495        1.109258260509116
     5534.002801974457725        1.108365933370668
     5535.847777053881146        1.107569336523813
     5537.693367227507224        1.107252008215331
     5539.539572700396093        1.106987798994766
     5541.386393677693377        1.107131325898158
     5543.233830364596542        1.107237084904669
     5545.081882966374906        1.107018409827109
     5546.930551688361447        1.106562664592792
     5548.779836735978279        1.105201274328498
     5550.629738314692077        1.103800405732344
     5552.480256630050462        1.102312895508530
     5554.331391887658356        1.101025707683306
     5556.183144293210717        1.100018666134734
     5558.035514052451617        1.099879057641304
     5559.888501371199709        1.100528248542766
     5561.742106455342764        1.102337195754416
     5563.596329510830401        1.104822854050883
     5565.451170743699549        1.107194017961580
     5567.306630360038071        1.109525607842410
     5569.162708566007495        1.111300645816009
     5571.019405567834838        1.112978681446195
     5572.876721571828966        1.113575454579012
     5574.734656784352410        1.114029806219839
     5576.593211411844095        1.113246902789568
     5578.452385660804794        1.112396393076607
     5580.312179737818951        1.111256298804159
     5582.172593849525583        1.110061633572560
     5584.033628202636464        1.108742389140074
     5585.895283003928853        1.107111603223395
     5587.757558460264590        1.105050614302330
     5589.620454778556450        1.102709352142625
     5591.483972165794512        1.100126570493795
     5593.348110829028883        1.097653578305254
     5595.212870975397891        1.095237819383599
     5597.078252812091705        1.092953568144730
     5598.944256546375073        1.090706838432127
     5600.810882385575496        1.088268685787599
     5602.678130537107791        1.085802888264245
     5604.546001208438611        1.083081741320242
     5606.414494607108281        1.080376236845563
     5608.283610940721701        1.077769987167779
     5610.153350416971080        1.075084793987217
     5612.023713243597740        1.072183498824486
     5613.894699628420312        1.069591102844630
     5615.766309779326548        1.067478870990754
     5617.638543904266953        1.065412971018008
     5619.511402211279346        1.063390053231398
     5621.384884908454296        1.060886876951955
     5623.258992203955131        1.058120612561092
     5625.133724306009753        1.055222492660974
     5627.009081422935196        1.052285521297889
     5628.885063763097605        1.049700929711175
     5630.761671534939524        1.047168986164286
     5632.638904946967159        1.045069541835067
     5634.516764207773122        1.042876453852491
     5636.395249526003681        1.040228427936345
     5638.274361110377868        1.037344221376881
     5640.154099169682013        1.033919345686496
     5642.034463912787032        1.030091961641713
     5643.915455548614773        1.025749379189163
     5645.797074286166207        1.021629798777222
     5647.679320334504155        1.017675025325146
     5649.562193902777835        1.014746067840109
     5651.445695200189220        1.012231973073568
     5653.329824436017589        1.010091963089476
     5655.214581819604973        1.008017291385543
     5657.099967560378900        1.005542310790459
     5658.985981867821465        1.002990538942855
     5660.872624951491161        0.999959051258669
     5662.759897021007419        0.996856181002332
     5664.647798286079706        0.993564188084910
     5666.536328956468424        0.990225455355614
     5668.425489242010372        0.986821339005578
     5670.315279352606922        0.983899090903783
     5672.205699498246759        0.981356296103928
     5674.096749888969498        0.979784106028216
     5675.988430734892063        0.978618481871579
     5677.880742246202317        0.978298214392489
     5679.773684633150879        0.978125752283728
     5681.667258106075678        0.977869467836422
     5683.561462875368306        0.977762982733256
     5685.456299151495841        0.978523728415064
     5687.351767144990845        0.979394646855124
     5689.247867066470462        0.980525666043692
     5691.144599126608227        0.981334290927559
     5693.041963536152252        0.981745957699571
     5694.939960505914314        0.982511829397245
     5696.838590246794411        0.983513570323394
     5698.737852969746200        0.984096236959441
     5700.637748885797919        0.984542061510821
     5702.538278206045106        0.984333196926523
     5704.439441141667885        0.984113793050481
     5706.341237903900947        0.984713515957585
     5708.243668704055381        0.985558425805235
     5710.146733753505941        0.987270264436818
     5712.050433263717423        0.989188969282055
     5713.954767446203732        0.991447498157150
     5715.859736512559721        0.993821729091829
     5717.765340674442086        0.996295806170345
     5719.671580143596657        0.998398770496804
     5721.578455131821102        1.000340914588764
     5723.485965850990397        1.001985251599241
     5725.394112513045002        1.003588766177177
     5727.302895330012689        1.005562466620766
     5729.212314513975798        1.007513444200267
     5731.122370277089431        1.009361534479228
     5733.033062831578718        1.011108064024146
     5734.944392389752466        1.012664402560820
     5736.856359163976776        1.013942660410713
     5738.768963366690514        1.014958430917238
     5740.682205210406210        1.015576977560222
     5742.596084907700060        1.016009767452947
     5744.510602671238303        1.016276155125243
     5746.425758713737196        1.016533093618132
     5748.341553247993033        1.017861404941837
     5750.257986486866685        1.019205902330865
     5752.175058643305420        1.020618622929316
     5754.092769930312897        1.021979375327608
     5756.011120560966447        1.023247266988561
     5757.930110748412517        1.024545122004980
     5759.849740705882141        1.025869377529813
     5761.770010646661831        1.026810910619175
     5763.690920784115406        1.027592972278061
     5765.612471331671259        1.028048552362005
     5767.534662502846913        1.028500481630402
     5769.457494511213554        1.029635659246914
     5771.380967570418761        1.030867524175028
     5773.305081894175601        1.032416953351832
     5775.229837696287177        1.033644112424745
     5777.155235190608437        1.034408865239252
     5779.081274591073452        1.035186737459832
     5781.007956111679960        1.035973810926028
     5782.935279966514827        1.036472662969998
     5784.863246369721310        1.036885568048173
     5786.791855535515424        1.037238333897636
     5788.721107678184126        1.037733795274091
     5790.651003012097135        1.039172626248033
     5792.581541751684199        1.040730271112386
     5794.512724111447824        1.042543130125101
     5796.444550305965095        1.044547588649217
     5798.377020549875851        1.046742346948361
     5800.310135057912703        1.048685951967485
     5802.243894044860099        1.050515694060481
     5804.178297725578886        1.051829349258905
     5806.113346314996306        1.053040800565940
     5808.049040028132367        1.053825061968282
     5809.985379080056191        1.054395117156406
     5811.922363685916935        1.054325562117140
     5813.859994060929239        1.054161497682512
     5815.798270420396875        1.053877655331493
     5817.737192979679094        1.053896661467784
     5819.676761954210633        1.054091893488258
     5821.616977559493534        1.054257725094867
     5823.557840011118969        1.054422159075412
     5825.499349524732679        1.054852342036781
     5827.441506316057712        1.055293294233168
     5829.384310600884419        1.055773842579339
     5831.327762595090462        1.056219259346652
     5833.271862514608074        1.056613548462304
     5835.216610575451341        1.056701609666507
     5837.162006993696195        1.056589055357305
     5839.108051985507700        1.056542536182413
     5841.054745767110035        1.056512279864547
     5843.002088554800139        1.056422645955810
     5844.950080564945893        1.056086395569232
     5846.898722014000668        1.054766710046958
     5848.848013118475137        1.053445953003537
     5850.797954094957277        1.052123813736374
     5852.748545160100548        1.050739649071688
     5854.699786530650272        1.049314538364365
     5856.651678423404519        1.048100260189636
     5858.604221055240487        1.046941994105455
     5860.557414643106313        1.046315582762980
     5862.511259404018347        1.045635076592009
     5864.465755555082069        1.044758493363530
     5866.420903313458439        1.043751230427031
     5868.376702896385723        1.042565073405682
     5870.333154521169490        1.040738494045242
     5872.290258405203531        1.038534439461564
     5874.248014765938933        1.035213351774610
     5876.206423820905002        1.031482224327362
     5878.165485787696525        1.023868734119318
     5880.125200883996513        1.014576439174522
     5882.085569327548910        1.000457070639560
     5884.046591336169513        0.983352173976127
     5886.008267127745967        0.962873403503633
     5887.970596920252319        0.939817453491451
     5889.933580931719916        0.915556391415679
     5891.897219380258321        0.894520731214980
     5893.861512484043487        0.875136635680819
     5895.826460461341412        0.866044750079038
     5897.792063530474479        0.861440747152466
     5899.758321909843289        0.866092663610476
     5901.725235817914836        0.877631079389040
     5903.692805473247063        0.894954145517204
     5905.661031094452483        0.916450501758283
     5907.629912900221825        0.939258562839757
     5909.599451109315851        0.959831685727364
     5911.569645940582632        0.979119159429830
     5913.540497612928448        0.993443870903139
     5915.512006345334157        1.004604781547851
     5917.484172356858835        1.011428350526133
     5919.456995866625221        1.015453002306375
     5921.430477093847003        1.017931604634073
     5923.404616257794260        1.018695311888289
     5925.379413577817104        1.019064494535688
     5927.354869273329314        1.018121557964094
     5929.330983563839254        1.016697130775829
     5931.307756668909860        1.014236222383626
     5933.285188808181374        1.010797326863137
     5935.263280201363159        1.006536784474678
     5937.242031068253709        1.000996840818118
     5939.221441628709727        0.995075605255929
     5941.201512102666129        0.988901478574775
     5943.182242710123319        0.983012262476422
     5945.163633671176285        0.978086723542100
     5947.145685205970949        0.973611474259832
     5949.128397534737815        0.969665780163376
     5951.111770877771050        0.966602916879603
     5953.095805455456684        0.963933627358305
     5955.080501488238951        0.962176251558430
     5957.065859196638485        0.960485649833071
     5959.051878801244129        0.958754111676043
     5961.038560522737498        0.956729697105815
     5963.025904581854775        0.954252440015006
     5965.013911199412178        0.951729756353611
     5967.002580596294138        0.949179862478779
     5968.991912993473306        0.946362622031330
     5970.981908611984181        0.943472279889465
     5972.972567672934019        0.940314364105943
     5974.963890397502837        0.937389329227356
     5976.955877006960691        0.934913182247087
     5978.948527722634026        0.933025699207954
     5980.941842765925685        0.931560856814379
     5982.935822358318546        0.930792875649113
     5984.930466721358243        0.930153756927144
     5986.925776076684997        0.929215862364925
     5988.921750645991779        0.928187788646835
     5990.918390651056143        0.926957579897320
     5992.915696313718399        0.925562537445960
     5994.913667855915264        0.924033688643016
     5996.912305499636204        0.922201152710333
     5998.911609466953450        0.920298413185529
     6000.911579980005627        0.918559672227643
     6002.912217261022306        0.916871639220559
     6004.913521532293089        0.915308252501351
     6006.915493016182154        0.913757286100898
     6008.918131935126439        0.912216882157919
     6010.921438511652923        0.910374626658166
     6012.925412968345881        0.908441821495022
     6014.930055527868717        0.906285609714591
     6016.935366412952135        0.904022139082223
     6018.941345846424156        0.901496348138135
     6020.947994051161004        0.898857429108097
     6022.955311250127124        0.896122624445138
     6024.963297666348808        0.893867300831277
     6026.971953522950571        0.891763750073996
     6028.981279043107861        0.890211743971751
     6030.991274450080709        0.888621851026773
     6033.001939967194630        0.886946101032799
     6035.013275817869726        0.885432363708467
     6037.025282225582487        0.884045397838497
     6039.037959413888530        0.882821889523410
     6041.051307606411683        0.881657979033298
     6043.065327026870364        0.880778091402884
     6045.080017899037557        0.880066541475526
     6047.095380446769923        0.879688101942950
     6049.111414893994151        0.879394727554060
     6051.128121464709693        0.879158931127267
     6053.145500383006947        0.878539566960129
     6055.163551873030883        0.877814794526596
     6057.182276159012872        0.876785132221472
     6059.201673465247950        0.876053707781674
     6061.221744016124831        0.875802135434158
     6063.242488036091345        0.875871422785546
     6065.263905749673540        0.876115193936143
     6067.285997381467496        0.876626764962500
     6069.308763156162968        0.877299740009153
     6071.332203298504282        0.878593078046570
     6073.356318033319440        0.879997926505704
     6075.381107585502832        0.881540643385836
     6077.406572180045259        0.882762580544453
     6079.432712041989362        0.883857135894713
     6081.459527396464182        0.884098596373558
     6083.487018468663337        0.883976029717477
     6085.515185483877758        0.882829262793207
     6087.544028667452039        0.880988404823722
     6089.573548244813537        0.878523376855910
     6091.603744441458730        0.876709176714875
     6093.634617482976864        0.875230647192748
     6095.666167595013576        0.875959094203251
     6097.698395003298174        0.877112066520609
     6099.731299933626360        0.879064624271937
     6101.764882611889334        0.880385015122070
     6103.799143264033773        0.881321517192555
     6105.834082116090940        0.881321083271901
     6107.869699394162126        0.881079540666418
     6109.905995324423202        0.880204056958145
     6111.942970133139170        0.879500597988824
     6113.980624046636876        0.879003976350604
     6116.018957291322295        0.879492879502641
     6118.057970093667791        0.880348697688557
     6120.097662680245776        0.881821810191402
     6122.138035277681411        0.883208259806650
     6124.179088112682621        0.884387025997234
     6126.220821412027362        0.885112549106502
     6128.263235402586361        0.885506314686347
     6130.306330311289457        0.886223695910795
     6132.350106365146530        0.886991258133065
     6134.394563791237488        0.887744839032776
     6136.439702816736826        0.888360093802151
     6138.485523668876340        0.888791970597506
     6140.532026574970587        0.889232571145876
     6142.579211762399609        0.889674356058307
     6144.627079458642584        0.889459878735224
     6146.675629891235076        0.889282056280436
     6148.724863287791777        0.889193348334118
     6150.774779876000139        0.889183019717570
     6152.825379883641290        0.889229270389420
     6154.876663538552748        0.889105726321544
     6156.928631068656614        0.889025163196607
     6158.981282701940472        0.889297080182902
     6161.034618666491042        0.889143062169699
     6163.088639190449612        0.888476850632706
     6165.143344502042055        0.886865061882042
     6167.198734829560635        0.884976130675912
     6169.254810401396753        0.884095552614180
     6171.311571445995469        0.883531403068858
     6173.369018191886425        0.883592642889865
     6175.427150867673845        0.884051721785185
     6177.485969702034708        0.884742539463112
     6179.545474923737856        0.886492835567907
     6181.605666761610337        0.888375226103890
     6183.666545444564690        0.890430519012700
     6185.728111201578940        0.892222894572015
     6187.790364261729337        0.893778016173727
     6189.853304854148519        0.895725083092745
     6191.916933208052797        0.897847681839555
     6193.981249552727604        0.900608542849803
     6196.046254117553872        0.903036956567604
     6198.111947131969828        0.905020610077467
     6200.178328825497374        0.907179245155570
     6202.245399427729353        0.909422827339828
     6204.313159168350467        0.912228616865125
     6206.381608277107262        0.915001026145070
     6208.450746983827230        0.917707427963279
     6210.520575518407895        0.921081287524140
     6212.591094110843187        0.924823947375272
     6214.662302991183424        0.928806783243188
     6216.734202389563507        0.932697615253804
     6218.806792536189278        0.936286747864427
     6220.880073661360257        0.939500923259233
     6222.954045995434171        0.942428823799319
     6225.028709768853332        0.944136150112509
     6227.104065212129171        0.945623112557173
     6229.180112555869528        0.946899036788868
     6231.256852030739537        0.948573846995642
     6233.334283867488921        0.950650982190400
     6235.412408296935610        0.952931311801775
     6237.491225549996670        0.955327219028731
     6239.570735857645559        0.958202609571592
     6241.650939450937585        0.960721939456563
     6243.731836561006276        0.962783079020145
     6245.813427419057916        0.963707232405486
     6247.895712256391562        0.964246800526702
     6249.978691304366293        0.964638803020400
     6252.062364794424866        0.965226546013642
     6254.146732958078246        0.966126185205837
     6256.231796026937445        0.966794809015670
     6258.317554232669863        0.967355454139846
     6260.404007807026574        0.967448647625185
     6262.491156981826862        0.967504145469502
     6264.579001988991877        0.967487128433763
     6266.667543060497337        0.966113983735458
     6268.756780428401726        0.964050769981045
     6270.846714324838103        0.960247233974511
     6272.937344982033210        0.956418179148313
     6275.028672632272901        0.952594446625273
     6277.120697507927616        0.949102065439031
     6279.213419841436917        0.945803237741725
     6281.306839865339498        0.943413792174716
     6283.400957812230445        0.941487182809450
     6285.495773914790334        0.940638871908598
     6287.591288405768864        0.940588413185398
     6289.687501518014869        0.941054601508604
     6291.784413484434481        0.941589288073504
     6293.882024538017504        0.942231675946282
     6295.980334911825594        0.943162774131338
     6298.079344839016812        0.944330410788988
     6300.179054552808338        0.945661430889518
     6302.279464286501934        0.946855092656864
     6304.380574273474849        0.947972085826752
     6306.482384747179822        0.948896237719012
     6308.584895941161449        0.950315120983173
     6310.688108089027082        0.952085550681298
     6312.792021424466839        0.953350139325926
     6314.896636181241774        0.954724119346906
     6317.001952593212991        0.956558198111621
     6319.107970894295249        0.958764703897223
     6321.214691318492441        0.961234446201461
     6323.322114099877581        0.963385414578092
     6325.430239472620997        0.965435363532643
     6327.539067670953955        0.967271773937233
     6329.648598929189575        0.969115959309318
     6331.758833481713737        0.970965617263660
     6333.869771563010545        0.973742125344712
     6335.981413407621403        0.976464459102208
     6338.093759250174116        0.978868589135160
     6340.206809325366521        0.980652483398947
     6342.320563867995588        0.982046341423876
     6344.435023112914678        0.984317069256327
     6346.550187295066280        0.986914551668996
     6348.666056649461098        0.990186528228802
     6350.782631411208058        0.993509225696623
     6352.899911815476116        0.996860931836058
     6355.017898097518810        1.000394063112763
     6357.136590492661526        1.004282213706918
     6359.255989236326968        1.008887767147266
     6361.376094563997867        1.013736008011752
     6363.496906711241536        1.018672618702322
     6365.618425913697138        1.022253457849692
     6367.740652407102061        1.025456671290739
     6369.863586427252812        1.028012715102887
     6371.987228210030480        1.030313348944002
     6374.111577991396189        1.032469944439672
     6376.236636007381094        1.034014396318007
     6378.362402494116395        1.035603528000799
     6380.488877687792410        1.037254938868046
     6382.616061824683129        1.039008959969417
     6384.743955141136212        1.040941367021455
     6386.872557873597543        1.043949282526648
     6389.001870258572126        1.047248862257615
     6391.131892532649545        1.050873003221514
     6393.262624932493054        1.054649227803117
     6395.394067694864134        1.058527231532345
     6397.526221056581562        1.062716605810246
     6399.659085254553247        1.066708597671042
     6401.792660525756219        1.070531041672901
     6403.926947107267551        1.074234652699766
     6406.061945236225256        1.077832415357108
     6408.197655149849197        1.081155455453732
     6410.334077085435638        1.084558020038848
     6412.471211280376338        1.088011793343507
     6414.609057972124901        1.091645124204105
     6416.747617398219518        1.095029249745401
     6418.886889796272953        1.097894304450149
     6421.026875403993472        1.100371000350006
     6423.167574459150273        1.102702844535745
     6425.308987199600779        1.105544828060742
     6427.451113863271530        1.108487832633594
     6429.593954688190934        1.111572414738663
     6431.737509912444693        1.113904760203104
     6433.881779774206734        1.116040727335326
     6436.026764511728288        1.118271008632316
     6438.172464363335166        1.120847372569394
     6440.318879567450495        1.123756593217956
     6442.466010362559246        1.126662315711578
     6444.613856987231884        1.129477860476985
     6446.762419680110725        1.132013388641544
     6448.911698679938127        1.134869448745863
     6451.061694225516476        1.137929225938658
     6453.212406555734560        1.140939827025337
     6455.363835909553018        1.143824736668793
     6457.515982526033440        1.146478174701151
     6459.668846644295627        1.148888644985675
     6461.822428503548508        1.151219318093137
     6463.976728343070135        1.153679588406109
     6466.131746402243152        1.156006497331863
     6468.287482920503862        1.158180647726376
     6470.443938137381338        1.160431475736041
     6472.601112292473772        1.162881271790713
     6474.759005625482132        1.166005337967799
     6476.917618376162864        1.169367921925440
     6479.076950784364271        1.172896892882087
     6481.237003090004691        1.176798352427696
     6483.397775533103413        1.180677474097271
     6485.559268353737934        1.184487447393095
     6487.721481792077611        1.188449470327482
     6489.884416088358194        1.192404666174075
     6492.048071482920932        1.195760241789164
     6494.212448216165285        1.198773594710248
     6496.377546528578023        1.201415034450186
     6498.543366660716856        1.204359647644232
     6500.709908853243178        1.207269225455413
     6502.877173346878408        1.209911839434193
     6505.045160382427639        1.212676169273863
     6507.213870200778729        1.215510889571022
     6509.383303042893203        1.217852056548835
     6511.553459149832634        1.220283121013605
     6513.724338762719526        1.222853841295158
     6515.895942122760971        1.226430324662834
     6518.068269471241365        1.230400341469920
     6520.241321049541511        1.234900820051546
     6522.415097099107697        1.238782675232041
     6524.589597861468064        1.242154991388528
     6526.764823578228970        1.245224477518130
     6528.940774491094089        1.248260541769002
     6531.117450841829850        1.251269232190268
     6533.294852872289994        1.253961255500680
     6535.472980824399201        1.256465393406397
     6537.651834940187655        1.258440889275614
     6539.831415461741926        1.260482472692755
     6542.011722631237717        1.262591585648417
     6544.192756690924398        1.265131813934882
     6546.374517883154112        1.267801411998724
     6548.557006450335393        1.270661443211597
     6550.740222634969541        1.274552123043025
     6552.924166679628797        1.278973956015666
     6555.108838826986357        1.283800246375725
     6557.294239319777262        1.288497737579932
     6559.480368400823863        1.293045246078484
     6561.667226313022184        1.297325117056381
     6563.854813299371017        1.301678699548422
     6566.043129602927365        1.306373106456824
     6568.232175466838271        1.310885369240880
     6570.421951134324445        1.315130715132976
     6572.612456848707552        1.316277916064049
     6574.803692853370194        1.316974323822842
     6576.995659391783192        1.317123602451446
     6579.188356707498315        1.317631495906004
     6581.381785044142816        1.318000715229707
     6583.575944645443087        1.317778369011366
     6585.770835755188273        1.316753165618627
     6587.966458617255739        1.315318451066256
     6590.162813475595613        1.314082022350979
     6592.359900574262610        1.313546836532010
     6594.557720157368749        1.313826924021568
     6596.756272469117903        1.314252313301732
     6598.955557753786707        1.314431364066605
     6601.155576255752749        1.313893852596638
     6603.356328219455463        1.313239617019116
     6605.557813889425233        1.312595999880465
     6607.760033510262474        1.312649693976214
     6609.962987326672192        1.312782803111609
     6612.166675583421238        1.312997160759926
     6614.371098525362868        1.312885142142978
     6616.576256397426732        1.312686514172957
     6618.782149444643437        1.312374521878926
     6620.988777912106343        1.312087997116191
     6623.196142044996122        1.311857209624210
     6625.404242088567116        1.311921258824308
     6627.613078288179167        1.312424424721310
     6629.822650889252145        1.313290866972502
     6632.032960137292321        1.314062196108744
     6634.244006277883273        1.314515547789892
     6636.455789556711352        1.314443949379666
     6638.668310219522937        1.313703686846307
     6640.881568512153535        1.312584471184419
     6643.095564680520511        1.310688097424459
     6645.310298970616714        1.308890430117365
     6647.525771628537768        1.307155893160885
     6649.741982900441144        1.305500091793526
     6651.958933032570712        1.303684413308547
     6654.176622271248561        1.301678662471437
     6656.395050862898643        1.299999619176932
     6658.614219054004934        1.298740707960763
     6660.834127091142363        1.298373309962335
     6663.054775220961346        1.298222025241711
     6665.276163690213252        1.297943415244822
     6667.498292745712206        1.296331214167061
     6669.721162634361463        1.293516168296399
     6671.944773603140675        1.289755447649451
     6674.169125899130449        1.285643256059502
     6676.394219769474148        1.281985528599243
     6678.620055461404263        1.278999281111322
     6680.846633222229684        1.276628787663967
     6683.073953299362074        1.274453333239446
     6685.302015940273122        1.272482427259996
     6687.530821392526377        1.270568519202451
     6689.760369903759965        1.268703839693099
     6691.990661721714787        1.267024141256147
     6694.221697094195406        1.265629290553068
     6696.453476269092789        1.264477829351711
     6698.685999494377029        1.263417657504749
     6700.919267018118262        1.262019154475134
     6703.153279088453019        1.260104203503841
     6705.388035953602412        1.257620443920585
     6707.623537861867590        1.255261708980719
     6709.859785061650655        1.253595783046179
     6712.096777801416465        1.252565116683207
     6714.334516329719918        1.251788592511758
     6716.573000895199584        1.250812623444896
     6718.812231746567704        1.249574000813103
     6721.052209132642020        1.248127900401792
     6723.292933302302117        1.246844825818649
     6725.534404504516715        1.245710744277449
     6727.776622988332747        1.244773768062156
     6730.019589002897192        1.243955720325054
     6732.263302797424330        1.243036429736399
     6734.507764621213937        1.241841030228156
     6736.752974723644002        1.240160595205307
     6738.998933354196197        1.238213323672833
     6741.245640762414041        1.235823995887284
     6743.493097197932912        1.233758164716971
     6745.741302910461854        1.231944748385470
     6747.990258149817237        1.230979089568327
     6750.239963165873633        1.230050251304484
     6752.490418208600204        1.229158242752683
     6754.741623528039781        1.228644178117687
     6756.993579374340698        1.228510130059773
     6759.246285997713130        1.228946734339764
     6761.499743648456388        1.229339811156145
     6763.753952576949814        1.229578376093669
     6766.008913033674617        1.229428794812155
     6768.264625269173848        1.229197246007185
     6770.521089534082421        1.228877722882665
     6772.778306079112554        1.228273980548406
     6775.036275155080148        1.227353434180404
     6777.294997012862041        1.226218263349936
     6779.554471903428748        1.224880703297755
     6781.814700077825364        1.223644028382621
     6784.075681787202484        1.222505571858037
     6786.337417282774368        1.221077195812625
     6788.599906815843497        1.219425494466924
     6790.863150637797844        1.217466676383380
     6793.127149000102690        1.215289730607307
     6795.391902154326999        1.213176078088174
     6797.657410352103398        1.211286766477625
     6799.923673845153644        1.209507356923066
     6802.190692885278622        1.207558238861851
     6804.458467724383809        1.204859937642541
     6806.726998614437434        1.202416987547573
     6808.996285807497770        1.200233906453054
     6811.266329555700395        1.199002032854970
     6813.537130111288207        1.197810523377336
     6815.808687726563221        1.196607293687444
     6818.081002653921132        1.194268239519237
     6820.354075145835850        1.191792822940514
     6822.627905454883148        1.189176609051631
     6824.902493833705194        1.187881229019035
     6827.177840535034193        1.186745995696481
     6829.453945811677841        1.185742120427100
     6831.730809916552971        1.183688318746081
     6834.008433102634626        1.181317164072890
     6836.286815622994254        1.178623418221345
     6838.565957730778791        1.175466241999099
     6840.845859679238856        1.171539287162943
     6843.126521721689642        1.165692488552715
     6845.407944111539109        1.156736386885611
     6847.690127102271617        1.145559648106621
     6849.973070947477026        1.129872652164810
     6852.256775900807042        1.111260711133346
     6854.541242216009778        1.090911533613090
     6856.826470146912470        1.069681354102896
     6859.112459947422394        1.048588423463773
     6861.399211871554144        1.027675880350835
     6863.686726173382340        1.008678012905243
     6865.975003107076191        0.992729282108879
     6868.264042926882212        0.979742042546818
     6870.553845887150601        0.974344205171195
     6872.844412242298858        0.972106928796346
     6875.135742246831796        0.973582603916737
     6877.427836155337900        0.977502330845972
     6879.720694222505699        0.982222053106072
     6882.014316703091026        0.987854014029881
     6884.308703851940663        0.994640189762907
     6886.603855923980518        1.001553276047237
     6888.899773174239272        1.008328027330828
     6891.196455857814726        1.014643695185097
     6893.493904229891086        1.020680072014160
     6895.792118545735320        1.026278118531020
     6898.091099060718079        1.032392664315719
     6900.390846030274588        1.039145986262494
     6902.691359709931930        1.047505407474948
     6904.992640355296317        1.056400060424287
     6907.294688222078548        1.065337501430527
     6909.597503566055821        1.073407647104151
     6911.901086643096278        1.080944023153266
     6914.205437709146281        1.087980598749991
     6916.510557020259512        1.093590927578764
     6918.816444832552406        1.097644956296641
     6921.123101402235079        1.100565730311251
     6923.430526985595861        1.102029021117600
     6925.738721839029495        1.103043846235000
     6928.047686218995295        1.103707104790213
     6930.357420382044438        1.104072262071336
     6932.667924584813591        1.104217472784917
     6934.979199084018546        1.104177402785135
     6937.291244136482419        1.104383908840965
     6939.604059999091987        1.104954934507867
     6941.917646928825889        1.105886201406834
     6944.232005182743706        1.106348591027703
     6946.547135018008703        1.106583973499031
     6948.863036691852358        1.106572673037940
     6951.179710461595278        1.106502493198663
     6953.497156584639924        1.106302156634522
     6955.815375318494262        1.105942929308642
     6958.134366920729917        1.105434588927969
     6960.454131649014016        1.105214194034746
     6962.774669761090991        1.105404154824259
     6965.095981514810774        1.105535715301712
     6967.418067168092421        1.105089024413030
     6969.740926978944117        1.103783959060087
     6972.064561205454083        1.102053958247955
     6974.388970105818771        1.100619296164290
     6976.714153938299205        1.099746972969437
     6979.040112961247360        1.099563020395448
     6981.366847433097064        1.099119236224134
     6983.694357612388558        1.098056240439890
     6986.022643757727565        1.096285430070972
     6988.351706127810758        1.094968918376807
     6990.681544981417574        1.094686903415306
     6993.012160577432951        1.095346846595691
     6995.343553174806402        1.096033877849359
     6997.675723032582027        1.096457779046836
     7000.008670409889419        1.096464639648795
     7002.342395565938205        1.096353032703372
     7004.676898760044423        1.096162714464192
     7007.012180251592326        1.096579555880935
     7009.348240300056204        1.097144330781952
     7011.685079164990384        1.097769229597003
     7014.022697106059240        1.098131516558945
     7016.361094382990814        1.098421699114833
     7018.700271255606822        1.098670892865107
     7021.040227983808109        1.098574335670251
     7023.380964827604657        1.098609866705274
     7025.722482047071935        1.099031741653004
     7028.064779902377268        1.100200159456078
     7030.407858653768926        1.101502604457577
     7032.751718561604321        1.102794443617204
     7035.096359886304526        1.103068895817075
     7037.441782888385205        1.102707786237753
     7039.787987828442056        1.101517460060694
     7042.134974967178096        1.100826804979036
     7044.482744565363646        1.100405718044955
     7046.831296883860887        1.100310245314734
     7049.180632183613852        1.099585783583751
     7051.530750725672988        1.098697259274802
     7053.881652771156951        1.097690044936522
     7056.233338581275348        1.097517613878157
     7058.585808417321459        1.097685824465177
     7060.939062540693158        1.098211397847401
     7063.293101212857437        1.099163041836334
     7065.647924695373149        1.100572397585356
     7068.003533249881002        1.102554289952119
     7070.359927138128114        1.104122892585484
     7072.717106621930725        1.104922371139089
     7075.075071963197843        1.104797347964615
     7077.433823423923968        1.104450387493089
     7079.793361266185457        1.104323229485108
     7082.153685752168712        1.104454021108053
     7084.514797144123804        1.103869099276412
     7086.876695704398117        1.102593532840503
     7089.239381695415432        1.100644107801981
     7091.602855379712310        1.098951061973449
     7093.967117019889884        1.097754034335314
     7096.332166878642965        1.096988119180728
     7098.698005218747312        1.096169810495892
     7101.064632303089638        1.095487338139385
     7103.432048394620324        1.094935845525545
     7105.800253756386155        1.094675811112202
     7108.169248651513044        1.094203990811700
     7110.539033343238771        1.093572196605551
     7112.909608094863870        1.092782971505676
     7115.280973169785284        1.092331328374879
     7117.653128831482718        1.092007894714809
     7120.026075343541379        1.091420242470364
     7122.399812969616505        1.090268647645575
     7124.774341973456103        1.088762831359713
     7127.149662618889124        1.086878675363587
     7129.525775169854569        1.085207604373245
     7131.902679890357831        1.083775709640215
     7134.280377044499801        1.082799975747112
     7136.658866896461404        1.081467007299258
     7139.038149710533617        1.079986562389017
     7141.418225751074715        1.078392306003660
     7143.799095282536655        1.076385533956401
     7146.180758569454156        1.073681077657708
     7148.563215876471077        1.069924907899007
     7150.946467468295850        1.064219152563191
     7153.330513609736045        1.057825518357005
     7155.715354565685629        1.050805115386813
     7158.100990601118610        1.043374771607818
     7160.487421981120860        1.035324484256059
     7162.874648970843737        1.026620897503365
     7165.262671835535002        1.016763365678171
     7167.651490840524275        1.007907874670056
     7170.041106251248493        0.999969386526762
     7172.431518333213717        0.993155929462264
     7174.822727352022412        0.986137893910863
     7177.214733573356170        0.979266173634299
     7179.607537263008453        0.973915474247116
     7182.001138686839113        0.969828214345091
     7184.395538110803500        0.966589200746501
     7186.790735800938819        0.964303748925209
     7189.186732023392324        0.963037287336345
     7191.583527044379480        0.962780058422790
     7193.981121130211250        0.964155149721619
     7196.379514547277722        0.966594157159232
     7198.778707562082673        0.968781786882261
     7201.178700441196270        0.970184780258127
     7203.579493451283270        0.972030536953679
     7205.981086859093011        0.974088307263825
     7208.383480931482154        0.976351714996416
     7210.786675935376479        0.976037175368900
     7213.190672137798174        0.974590955024966
     7215.595469805849461        0.972120470674649
     7218.001069206746251        0.969027439176233
     7220.407470607769028        0.965011035193824
     7222.814674276295591        0.960145308438394
     7225.222680479793780        0.953835860650982
     7227.631489485812381        0.947085445695038
     7230.041101562010226        0.940601084780531
     7232.451516976117091        0.935479152335840
     7234.862735995954608        0.930902419630626
     7237.274758889429904        0.926626049730091
     7239.687585924559244        0.922658777244201
     7242.101217369428014        0.919689613132028
     7244.515653492218007        0.917285601574508
     7246.930894561191053        0.915451437073487
     7249.346940844723576        0.914763103923245
     7251.763792611255667        0.914022141816200
     7254.181450129328368        0.913165626152196
     7256.599913667562760        0.911723923452192
     7259.019183494690878        0.909474694518889
     7261.439259879513884        0.906789582462110
     7263.860143090928432        0.904254869028271
     7266.281833397913942        0.902373111134064
     7268.704331069563523        0.900737874489486
     7271.127636375034854        0.899131129068258
     7273.551749583584751        0.898186688491974
     7275.976670964550067        0.897553795032500
     7278.402400787383158        0.897206565735859
     7280.828939321602775        0.897200702028047
     7283.256286836822255        0.897417724596979
     7285.684443602739520        0.897885944721611
     7288.113409889166178        0.899132384226240
     7290.543185965979319        0.900108034530063
     7292.973772103154261        0.900880067625166
     7295.405168570748174        0.901483368315633
     7297.837375638931007        0.902840379605942
     7300.270393577940922        0.904720749548997
     7302.704222658113395        0.907204703383648
     7305.138863149873032        0.909780210589678
     7307.574315323729934        0.912234291118869
     7310.010579450302430        0.914491029603994
     7312.447655800280700        0.916171222274132
     7314.885544644450420        0.917568824180690
     7317.324246253680030        0.918762111044901
     7319.763760898952569        0.920225335888958
     7322.204088851317465        0.922025788643763
     7324.645230381921465        0.923940640160507
     7327.087185761995897        0.925641987540839
     7329.529955262883050        0.926982696651851
     7331.973539155996150        0.928237119028110
     7334.417937712842104        0.929513357116252
     7336.863151205016038        0.930082389805964
     7339.309179904220400        0.929938385098376
     7341.756024082231306        0.929086572827030
     7344.203684010917641        0.927987339808155
     7346.652159962236510        0.926876453302063
     7349.101452208255068        0.925704860772631
     7351.551561021108682        0.924299376448191
     7354.002486673032763        0.923190519671813
     7356.454229436343667        0.922666087886620
     7358.906789583473255        0.923157049976563
     7361.360167386920693        0.923522731358056
     7363.814363119282461        0.924519930684985
     7366.269377053240532        0.926246209387080
     7368.725209461588747        0.927696748289592
     7371.181860617190978        0.928143408277105
     7373.639330793006593        0.927772006461070
     7376.097620262081364        0.926612067250379
     7378.556729297573838        0.924912766073009
     7381.016658172709867        0.923024557215447
     7383.477407160816256        0.921104103812672
     7385.938976535308029        0.917818323620960
     7388.401366569686616        0.914304394316315
     7390.864577537565310        0.910746656365533
     7393.328609712627440        0.907991537051242
     7395.793463368653647        0.906656136902707
     7398.259138779509158        0.906238863173313
     7400.725636219171975        0.906215375059960
     7403.192955961691951        0.905409459550050
     7405.661098281214436        0.904759260570170
     7408.130063451970273        0.904716473154124
     7410.599851748303990        0.905494467272891
     7413.070463444628331        0.906443925414975
     7415.541898815456079        0.907343454095359
     7418.014158135384605        0.906965266462588
     7420.487241679123144        0.906768025629221
     7422.961149721451875        0.906935995391055
     7425.435882537249199        0.907845834966382
     7427.911440401478103        0.908864008626678
     7430.387823589216168        0.909593327783997
     7432.865032375608280        0.909970821852960
     7435.343067035900276        0.911301242871957
     7437.821927845422579        0.912210589678828
     7440.301615079618387        0.912790714609273
     7442.782129014001839        0.913109162303686
     7445.263469924184392        0.913357886156094
     7447.745638085863902        0.913381738115632
     7450.228633774851914        0.913062029743665
     7452.712457267029095        0.913064241163286
     7455.197108838375243        0.913535920443200
     7457.682588764963839        0.914544930565075
     7460.168897322952034        0.916564351043049
     7462.656034788609759        0.918619425678376
     7465.144001438279702        0.921214620324375
     7467.632797548400958        0.924923598741551
     7470.122423395500846        0.929706930057553
     7472.612879256217639        0.934089870397374
     7475.104165407263281        0.937849015768063
     7477.596282125445214        0.940408174398419
     7480.089229687659099        0.942952097765611
     7482.583008370913376        0.945676022250532
     7485.077618452287425        0.948871031107623
     7487.573060208959760        0.950752438262322
     7490.069333918195298        0.951993523462189
     7492.566439857371734        0.952783770398310
     7495.064378303937701        0.954364490946617
     7497.563149535442790        0.957150264842658
     7500.062753829520261        0.960253128604431
     7502.563191463918884        0.962549689997635
     7505.064462716457456        0.965617145017763
     7507.566567865054822        0.968941936234161
     7510.069507187716226        0.972427038586667
     7512.573280962559693        0.975977584734235
     7515.077889467776004        0.979744546061030
     7517.583332981654166        0.983544687386250
     7520.089611782569591        0.987117208040533
     7522.596726149012284        0.991207146144479
     7525.104676359544101        0.995237884825086
     7527.613462692825124        0.999152438285660
     7530.123085427601836        1.003823562927553
     7532.633544842737138        1.008580318417422
     7535.144841217163048        1.013492873873920
     7537.656974829912542        1.018709661557324
     7540.169945960111363        1.023794466966488
     7542.683754886969837        1.028292220629227
     7545.198401889818342        1.032156844294824
     7547.713887248050924        1.035840169743567
     7550.230211241168945        1.039792722098736
     7552.747374148753806        1.044191543168290
     7555.265376250507870        1.049356316233135
     7557.784217826199892        1.052547666341556
     7560.303899155701401        1.067999298299507
     7562.824420518969418        1.092043909359533
     7565.345782196078289        1.093499430158278
     7567.867984467170572        1.092008160659669
     7570.391027612490689        1.085430847410889
     7572.914911912369462        1.071166176850197
     7575.439637647254131        1.045614384161681
     7577.965205097661965        1.012801839436435
     7580.491614544212098        0.972741479026474
     7583.018866267607336        0.923023121580947
     7585.546960548670540        0.869490502531686
     7588.075897668291873        0.816022602910474
     7590.605677907466088        0.764274552488259
     7593.136301547270705        0.719392547707732
     7595.667768868903295        0.683546059930453
     7598.200080153627823        0.658414879708089
     7600.733235682813756        0.649888085093422
     7603.267235737915144        0.657386300308141
     7605.802080600502450        0.671893377629795
     7608.337770552217989        0.691679577862612
     7610.874305874805032        0.715487388543987
     7613.411686850092337        0.741289352978388
     7615.949913760026902        0.766792791244867
     7618.488986886626662        0.790103501774761
     7621.028906512010508        0.805917163487154
     7623.569672918391916        0.819663235847049
     7626.111286388069857        0.832161674265564
     7628.653747203462444        0.844737816193638
     7631.197055647056914        0.860062818256036
     7633.741212001443273        0.879127685788855
     7636.286216549297933        0.902643147504780
     7638.832069573414628        0.932935431680978
     7641.378771356657126        0.965280942747963
     7643.926322181993783        0.999466023970755
     7646.474722332477540        1.035652691064036
     7649.023972091278665        1.073838104409090
     7651.574071741641092        1.110581354884509
     7654.125021566907890        1.144727685756747
     7656.676821850510350        1.172856894245012
     7659.229472875997089        1.194633257594861
     7661.782974926989482        1.211943377555486
     7664.337328287208948        1.224860568656832
     7666.892533240465127        1.229120474322789
     7669.448590070684986        1.224558634782893
     7672.005499061867340        1.210274476785023
     7674.563260498112868        1.183607800258003
     7677.121874663609560        1.144914189004245
     7679.681341842663642        1.119701324999195
     7682.241662319653187        1.103845676819698
     7684.802836379056316        1.083360480643684
     7687.364864305442097        1.055732557106374