SN 1989B Ia in NGC 3627 (M66) (SABb)

Geoffrey Chaucer with an astrolabe. 


OBJ:   SN 1989B Ia in NGC 3627 (M66) (SABb)).  In Leda it is
          NGC 3627 (Leda).
DISCOVERY: 1989jan30.5 by Evans (1989)
          CfA List of Supernovae.
MAX:  1989feb07.8 +/- 1 (JD 2447565.3) in B according to {wells1994}.
           See the US Navy Observatory Julian Date Converter.
           This day of the year 38.
SUPERNOVA of the YEAR:  2.

SPECTROSCOPY LOG:

         Spectrum               Date                  Phase relative to Bmax        Wavelength Range
         {wells1994}            1989jan31             -7.4                          2980.--7906. (observed)
         {wells1994}            1989feb01             -6.4                          4545.039--7065.25 (observed)
         {wells1994}            1989feb03             -4.2                          3187.743--7635.105 (observed)

REF:

       citet{barbon1990} Potometry and spectra.

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

       citet{wells1994} Extensive photometry and spectra.

       SUSPECT Index.

       SUSPECT Index:  SN 1989B Ia.


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

COR:  not deredshifted ??? (heliocentric velocity 721 +/- 4 km/s and
          NGC 3627 (Leda).
     I'll trust Leda just for consistency.
      not dereddened ??? (Galactic foreground .14/4=.035
          NGC 3627 (Leda).
     Schlegel et al. (1998).
      not smoothed ????, not photometric ????
      Derived maximum in some band is  (see above).

COMMENT:

OBS:

Date: 1989feb03.55 (JD ) with 1989feb07.8 (JD 2447565.3) for B maximum gives:
      day =  - 2447565.3 =
      day = 3.55 - 7.8 = -4.2

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

       observer phase =  -4.2500000000
       rest phase =      -4.2398032853




&specnamelist
   aname='sn1989b Ia 1989_02_03'
   ebv=.035
   epoch=-4.2398032853 ! This parameter needs to updated for the particular spectrum.
   idifmake=0
   iformat=1           ! This has to be checked for every spectrum.
   itick=2
   itickln=4
   t_rise=19.4d0       ! From {conley2006}
   v_helio=721.
   ymin2=.9e-15
   ymax2=1.8e-14
   ymin3=.4
   ymax3=1.65
   wlammin1=3187.743
   wlammax1=7635.105
   wlammin2=3187.743
   wlammax2=7635.105
   wlammin3=3400.
   wlammax3=7000.
/





     ./figure/sn1989b_1989_02_03.gif 

Postscript plot of the spectrum.





     ./figure/sn1989b_1989_02_03.dif.gif 

Postscript plot of the spectrum with local normalization.





Information from somewhere.

FITS: Fits format information from the observers if there is any.

image = bruno/bruno.002

OBJ:  SN Ia 1989B in NGC 3627 (M66).  A normal Ia.
DATE: February 3.55 1989.  Given B_max on 89feb7.8 and the 18 day rise time,
      this spectrum is 13.75 days after explosion.
OBS:  CfA
REP:  F_lambda (cgs) vs. lambda (ang)
COR:  not deredshifted????, not dereddened????.
COMMENT:  I've removed a few bad points:

    3192.088 1.008155E-15
    7524.302 3.982581E-16
    7602.516 1.479072E-16
    7604.688 2.968201E-16

REF:  Wells~\etal 1994, AJ, 108, 2233

DAY:
    13.75

END:
     3180.096008487254949        0.923158816029529
     3181.156217181717238        0.942014423639687
     3182.216779337984917        0.960876317500036
     3183.277695073897576        0.952726551346134
     3184.338964507335277        0.943352214313920
     3185.400587756213554        0.933974751981870
     3186.462564938497053        0.924594163307985
     3187.524896172179979        0.889026445517719
     3188.587581575298827        0.849644177186437
     3189.650621265926929        0.849677130673383
     3190.714015362186274        0.857559787577457
     3191.777763982228407        0.852671096590797
     3192.841867244247624        0.844490807357878
     3193.906325266473686        0.835223188045261
     3194.971138167187746        0.825605846130868
     3196.036306064697783        0.833253709525255
     3197.101829077356342        0.847528628845694
     3198.167707323551440        0.856892519233286
     3199.233940921720205        0.864031514552161
     3200.300529990330688        0.872381751078906
     3201.367474647891868        0.881371850410270
     3202.434775012950922        0.907125201474063
     3203.502431204101867        0.942988655162210
     3204.570443339971007        0.966746213533678
     3205.638811539226026        0.982210336749509
     3206.707535920571445        0.977404377772233
     3207.776616602760441        0.957003809160272
     3208.846053704576661        0.936717366547783
     3209.915847344846952        0.916528204437594
     3210.985997642433631        0.896412512035264
     3212.056504716249037        0.876366815627065
     3213.127368685234615        0.860423888935953
     3214.198589668375462        0.848803262650555
     3215.270167784693058        0.846164228550679
     3216.342103153258449        0.853927954680034
     3217.414395893171786        0.862487194536834
     3218.487046123576420        0.872049984273044
     3219.560053963656628        0.870904829881341
     3220.633419532631706        0.855038220053728
     3221.707142949770969        0.832521518469187
     3222.781224334373746        0.800096626126422
     3223.855663805782569        0.770356508716251
     3224.930461483376803        0.744924446731072
     3226.005617486584015        0.721375891891197
     3227.081131934863151        0.701075785673244
     3228.157004947715905        0.690869550869968
     3229.233236644680346        0.699253276196178
     3230.309827145344570        0.712703986894269
     3231.386776569325775        0.736042166041134
     3232.464085036285724        0.760925665608048
     3233.541752665922104        0.788995958334893
     3234.619779577981717        0.816114210137704
     3235.698165892242741        0.841146872929519
     3236.776911728525192        0.857496109553572
     3237.856017206686829        0.854085135758540
     3238.935482446634524        0.849405795933178
     3240.015307568306525        0.841720915233351
     3241.095492691682011        0.833379364311712
     3242.176037936779267        0.823435293590325
     3243.256943423665234        0.813348946977007
     3244.338209272436870        0.802909183377491
     3245.419835603235242        0.793093025438557
     3246.501822536237341        0.784890504183375
     3247.584170191671546        0.775961148181502
     3248.666878689793975        0.765138809514553
     3249.749948150906675        0.753067799292468
     3250.833378695346255        0.737709640111989
     3251.917170443502073        0.722431963552330
     3253.001323515791228        0.707374675872681
     3254.085838032674474        0.696217408020220
     3255.170714114654857        0.695310133610897
     3256.255951882269983        0.698311615137959
     3257.341551456108846        0.711478328905848
     3258.427512956789542        0.725669973131006
     3259.513836504975643        0.742476921126076
     3260.600522221365736        0.760873016851054
     3261.687570226709340        0.783217160491360
     3262.774980641785987        0.803947351538200
     3263.862753587419775        0.820763251453224
     3264.950889184470725        0.829419987280034
     3266.039387553849338        0.819093567240281
     3267.128248816496125        0.805063758916161
     3268.217473093396620        0.782767266576819
     3269.307060505571826        0.764273043271375
     3270.397011174093677        0.753897332144775
     3271.487325220065031        0.746623456712583
     3272.578002764631037        0.745613049517427
     3273.669043928975043        0.750072868534587
     3274.760448834330873        0.764970405986514
     3275.852217601961911        0.784952911762453
     3276.944350353176560        0.814024711777590
     3278.036847209318694        0.835631788818808
     3279.129708291783572        0.844728313163754
     3280.222933721997833        0.849629444362056
     3281.316523621429951        0.847975260854519
     3282.410478111587054        0.846096157772387
     3283.504797314026291        0.843892309654086
     3284.599481350335282        0.838496641883945
     3285.694530342145299        0.828837509619186
     3286.789944411128999        0.821560459365853
     3287.885723678995419        0.817202233661907
     3288.981868267504524        0.812942313310995
     3290.078378298446751        0.808792916075196
     3291.175253893656645        0.802283851515911
     3292.272495175006043        0.793359415047159
     3293.370102264416801        0.784615218602377
     3294.468075283842609        0.776037581397221
     3295.566414355280358        0.767232933010741
     3296.665119600763774        0.758238293576949
     3297.764191142378422        0.755086285408479
     3298.863629102240338        0.756306681550755
     3299.963433602508303        0.768609942056959
     3301.063604765380205        0.788269981655128
     3302.164142713103956        0.809778422529985
     3303.265047567958391        0.832372619140422
     3304.366319452265543        0.853468134349530
     3305.467958488386103        0.873799882865818
     3306.569964798730780        0.887890032404113
     3307.672338505742118        0.899236241745877
     3308.775079731904952        0.899079934442439
     3309.878188599743680        0.894622062300228
     3310.981665231832267        0.890725605603981
     3312.085509750776509        0.887002239690394
     3313.189722279224497        0.894032558091585
     3314.294302939864338        0.903763365683538
     3315.399251855433249        0.918767520736731
     3316.504569148700284        0.934805300378315
     3317.610254942478605        0.948147239595037
     3318.716309359618208        0.961111736340408
     3319.822732523021841        0.963312600867819
     3320.929524555620901        0.964526133296331
     3322.036685580393168        0.957749735249082
     3323.144215720355533        0.950613412861047
     3324.252115098564445        0.946199905679533
     3325.360383838126381        0.942295764283641
     3326.469022062178738        0.949496708572879
     3327.578029893903476        0.958470725404755
     3328.687407456520759        0.985397620733341
     3329.797154873301224        1.013489225203055
     3330.907272267546432        1.048933882081153
     3332.017759762603418        1.083868768638501
     3333.128617481856054        1.116493516669955
     3334.239845548739140        1.145183386280092
     3335.351444086720221        1.160899065509772
     3336.463413219309587        1.171501522509914
     3337.575753070055725        1.169144047095975
     3338.688463762558968        1.165356879309916
     3339.801545420450566        1.158734957470028
     3340.914998167406338        1.153130809942307
     3342.028822127139392        1.149135197870483
     3343.143017423415586        1.152488863302900
     3344.257584180030335        1.165139688201417
     3345.372522520824532        1.180233810272713
     3346.487832569676812        1.197796338265548
     3347.603514450517196        1.211077352001207
     3348.719568287307084        1.220909041280550
     3349.835994204052440        1.227953867069922
     3350.952792324797429        1.233227835156352
     3352.069962773637144        1.233014089820513
     3353.187505674698514        1.230110616867495
     3354.305421152152576        1.226456742184588
     3355.423709330209022        1.222526217587685
     3356.542370333129384        1.219993591552092
     3357.661404285205208        1.217826251720592
     3358.780811310773970        1.211634785585193
     3359.900591534213618        1.204764942222255
     3361.020745079941662        1.198333266612464
     3362.141272072426091        1.191937773854560
     3363.262172636166270        1.186042117592160
     3364.383446895707038        1.180043847221236
     3365.505094975630527        1.172089305566916
     3366.627117000571616        1.165494425744227
     3367.749513095195653        1.168901162277127
     3368.872283384213915        1.174827360916903
     3369.995427992374516        1.191521719281794
     3371.118947044478773        1.207025747699194
     3372.242840665358017        1.219124773194683
     3373.367108979889963        1.226364522425549
     3374.491752112989161        1.223813994584955
     3375.616770189623821        1.216492191013488
     3376.742163334791712        1.202141467473690
     3377.867931673536987        1.182030692245694
     3378.994075330941087        1.155632389665368
     3380.120594432138205        1.130130479663679
     3381.247489102293912        1.105351179693990
     3382.374759466618343        1.089945311841291
     3383.502405650360743        1.080036142577099
     3384.630427778822195        1.074622557881378
     3385.758825977333800        1.071064103643998
     3386.887600371274857        1.066896684261156
     3388.016751086060140        1.062563823661778
     3389.146278247157625        1.056321974226780
     3390.276181980067577        1.049786467075776
     3391.406462410334825        0.882470569942976
     3392.537119663545582        0.712120324825331
     3393.668153865325166        0.715708108787176
     3394.799565141351195        0.720139579830754
     3395.931353617332206        0.731023360995451
     3397.063519419022668        0.742699230325820
     3398.196062672215248        0.757508511479404
     3399.328983502755364        0.769142841155436
     3400.462282036519355        0.772893145224951
     3401.595958399429037        0.774007907397176
     3402.730012717445334        0.770720906589072
     3403.864445116581464        0.770036979293325
     3404.999255722881117        0.772361168527368
     3406.134444662435271        0.776667099725407
     3407.270012061372199        0.782571026699611
     3408.405958045872922        0.800509078562001
     3409.542282742149837        0.825059460694124
     3410.678986276462183        0.863261876178719
     3411.816068775106487        0.906327790091411
     3412.953530364431572        0.941300227321103
     3414.091371170819457        0.974636638749717
     3415.229591320696727        0.994961664907462
     3416.368190940528166        1.013982261865886
     3417.507170156832672        1.020808067239212
     3418.646529096159156        1.025140567823413
     3419.786267885103825        1.011062571666162
     3420.926386650300628        0.995535170709074
     3422.066885518435811        0.974833357816018
     3423.207764616228815        0.959647281240831
     3424.349024070443647        0.956309142919215
     3425.490664007883424        0.954388983096396
     3426.632684555403557        0.954440408785241
     3427.775085839892654        0.953154042631126
     3428.917867988283433        0.950637961900372
     3430.061031127552269        0.952490142313267
     3431.204575384713280        0.956973849867330
     3432.348500886834245        0.960034241373853
     3433.492807761014319        0.962566660461830
     3434.637496134398589        0.961347669899926
     3435.782566134171702        0.959385041376793
     3436.928017887570149        0.962057834224216
     3438.073851521862707        0.965054706812851
     3439.220067164364991        0.968699860451086
     3440.366664942430361        0.972574142355526
     3441.513644983465383        0.977655703250529
     3442.661007414908454        0.986375578738942
     3443.808752364245265        1.004931192104799
     3444.956879958999252        1.025189863180363
     3446.105390326746601        1.048207964943294
     3447.254283595096240        1.066085230336961
     3448.403559891703480        1.078693158979212
     3449.553219344262288        1.081725689693293
     3450.703262080518471        1.078596825443963
     3451.853688228251940        1.074724059999169
     3453.004497915288084        1.070566073908754
     3454.155691269490035        1.076443049498455
     3455.307268418776403        1.084239269244444
     3456.459229491095812        1.099678968841242
     3457.611574614444180        1.115858088040500
     3458.764303916856989        1.136857568557591
     3459.917417526421559        1.155307068123874
     3461.070915571257956        1.163325165970211
     3462.224798179533082        1.167233417947366
     3463.379065479456131        1.162306783387798
     3464.533717599275406        1.156507033314130
     3465.688754667292415        1.149594440395291
     3466.844176811841407        1.141746665701729
     3467.999984161302564        1.133174118087797
     3469.156176844095171        1.126468523118989
     3470.312754988692632        1.120608524590560
     3471.469718723599726        1.116147242637503
     3472.627068177367619        1.112005437577345
     3473.784803478587946        1.106952537476888
     3474.942924755904642        1.102492781401541
     3476.101432137993925        1.106821966456443
     3477.260325753579764        1.111668389264121
     3478.419605731423871        1.118605060831021
     3479.579272200342530        1.122446053141900
     3480.739325289183398        1.119972807666697
     3481.899765126842340        1.118325783561394
     3483.060591842252506        1.117647272356794
     3484.221805564402530        1.117291110069057
     3485.383406422312419        1.117155438842861
     3486.545394545048566        1.119373310520937
     3487.707770061717383        1.122473239588664
     3488.870533101479396        1.137946165347091
     3490.033683793526507        1.155397796462349
     3491.197222267097004        1.172534685229189
     3492.361148651470103        1.187372544647960
     3493.525463075978223        1.187633024242929
     3494.690165669986072        1.185453572051301
     3495.855256562904287        1.176861137149173
     3497.020735884184887        1.170031471817571
     3498.186603763331732        1.165687303892710
     3499.352860329882787        1.171468851430419
     3500.519505713421950        1.185347909161045
     3501.686540043576315        1.217564460529828
     3502.853963450012998        1.257709112872891
     3504.021776062453227        1.303779359459175
     3505.189978010649611        1.350979920385520
     3506.358569424402504        1.376159051450670
     3507.527550433552278        1.397532729273720
     3508.696921167992514        1.395876728508219
     3509.866681757649985        1.391867022861308
     3511.036832332497852        1.381740581938793
     3512.207373022549291        1.368776743680023
     3513.378303957871594        1.351980328969175
     3514.549625268564341        1.340540713342098
     3515.721337084775314        1.333062428698887
     3516.893439536689584        1.336928540476023
     3518.065932754549522        1.345106145713699
     3519.238816868627509        1.346993508713849
     3520.412092009244589        1.348013354557326
     3521.585758306760454        1.349656090882084
     3522.759815891590279        1.352530914109213
     3523.934264894180615        1.360948420924674
     3525.109105445026671        1.368315187919563
     3526.284337674662311        1.373611877096251
     3527.459961713675511        1.376074828649780
     3528.635977692688357        1.375616809570999
     3529.812385742369315        1.368007940014372
     3530.989185993425963        1.356545881210218
     3532.166378576622265        1.338810369796842
     3533.343963622752653        1.319576757706804
     3534.521941262660675        1.306173736689661
     3535.700311627228530        1.294749720449917
     3536.879074847393895        1.295516236657029
     3538.058231054127191        1.300655870958967
     3539.237780378445223        1.316574247568808
     3540.417722951408905        1.331519654429234
     3541.598058904119625        1.345278728361557
     3542.778788367732886        1.350864916175865
     3543.959911473437842        1.351336890471034
     3545.141428352470029        1.346320882962899
     3546.323339136104551        1.339752339938398
     3547.505643955673804        1.329791950735496
     3548.688342942540203        1.321113942838842
     3549.871436228114817        1.324071389370713
     3551.054923943849190        1.331716117653447
     3552.238806221248979        1.351366267593324
     3553.423083191853038        1.369414816468083
     3554.607754987247972        1.385508881481667
     3555.792821739060400        1.397505441843397
     3556.978283578971059        1.406999340709057
     3558.164140638694789        1.409608318213026
     3559.350393049993272        1.410409102346595
     3560.537040944668661        1.392285935800015
     3561.724084454578588        1.373910288811337
     3562.911523711612062        1.358236227703497
     3564.099358847707663        1.347270446590847
     3565.287589994843074        1.346596869307295
     3566.476217285051462        1.347477536972318
     3567.665240850398732        1.349978291346791
     3568.854660822998994        1.356878147505830
     3570.044477335005467        1.365981065177681
     3571.234690518628668        1.375446846270320
     3572.425300506109124        1.384724019809355
     3573.616307429738299        1.383645592681147
     3574.807711421849490        1.383428515318329
     3575.999512614817831        1.386566486236121
     3577.191711141072119        1.387960803399970
     3578.384307133076163        1.386584811697949
     3579.577300723340159        1.378461275950814
     3580.770692044415682        1.365217874056531
     3581.964481228908426        1.358285050044284
     3583.158668409458187        1.353421960867317
     3584.353253718752967        1.347166262693864
     3585.548237289520330        1.340902425109233
     3586.743619254543773        1.335254350006094
     3587.939399746639538        1.332537938270372
     3589.135578898672065        1.336331961989846
     3590.332156843546727        1.338660851023907
     3591.529133714224372        1.339514636285535
     3592.726509643698137        1.336179031695507
     3593.924284765009816        1.330936032698555
     3595.122459211242131        1.324919928985866
     3596.321033115532828        1.318773995857750
     3597.520006611053304        1.312346728444336
     3598.719379831022707        1.305531400635085
     3599.919152908700653        1.297623097112333
     3601.119325977403150        1.291919107294039
     3602.319899170478948        1.288852136968438
     3603.520872621324997        1.292004924100914
     3604.722246463379179        1.298511734954396
     3605.924020830134850        1.300072084307334
     3607.126195855118567        1.299999070603972
     3608.328771671905997        1.283433819924233
     3609.531748414111917        1.265024122750989
     3610.735126215408854        1.240789785639663
     3611.938905209501172        1.217633814571180
     3613.143085530141889        1.195854863483393
     3614.347667311129953        1.186989931373681
     3615.552650686302513        1.185408991209296
     3616.758035789554924        1.199336963989313
     3617.963822754815283        1.216111659257561
     3619.170011716059889        1.230930197477892
     3620.376602807305062        1.242554096490548
     3621.583596162625327        1.244374508568310
     3622.790991916126586        1.238575032424589
     3623.998790201963857        1.223492553156104
     3625.206991154333082        1.205504275375060
     3626.415594907487048        1.185989012295271
     3627.624601595710374        1.169934799917990
     3628.834011353338155        1.154516270672805
     3630.043824314744597        1.140243089446133
     3631.254040614361202        1.127348328856446
     3632.464660386653122        1.118028817459239
     3633.675683766132806        1.111417800909610
     3634.887110887355448        1.107648024999987
     3636.098941884930809        1.104861800417536
     3637.311176893503671        1.102497796309313
     3638.523816047766559        1.100798053453833
     3639.736859482453838        1.099038181242578
     3640.950307332354896        1.096402117639628
     3642.164159732293683        1.092238024276839
     3643.378416817143261        1.085083630818183
     3644.593078721816710        1.074005510174494
     3645.808145581283952        1.059752853501766
     3647.023617530549473        1.044203927189123
     3648.239494704664594        1.028263077540096
     3649.455777238723840        1.014406937013984
     3650.672465267876760        1.000264917225287
     3651.889558927307462        0.984917630861597
     3653.107058352248714        0.968815844111730
     3654.324963677977394        0.951691374375450
     3655.543275039813579        0.934887744322890
     3656.761992573132375        0.918258850499209
     3657.981116413342988        0.901600701961882
     3659.200646695903288        0.884947592505534
     3660.420583556313431        0.868436072410972
     3661.640927130129512        0.852882556041729
     3662.861677552940819        0.839453273513893
     3664.082834960387117        0.826701168669956
     3665.304399488148192        0.814533492855121
     3666.526371271961125        0.798074971573625
     3667.748750447597104        0.780271446350165
     3668.971537150875520        0.764186495226688
     3670.194731517658511        0.749559374132335
     3671.418333683863239        0.740153680086128
     3672.642343785441881        0.729804799829269
     3673.866761958396637        0.718279824784424
     3675.091588338768815        0.708736922655228
     3676.316823062658386        0.700145823995742
     3677.542466266198971        0.691210854201373
     3678.768518085572850        0.682414882465803
     3679.994978657004140        0.674729591573271
     3681.221848116774254        0.667259022381432
     3682.449126601197804        0.660154584322397
     3683.676814246639424        0.648659347805955
     3684.904911189504674        0.634289362735157
     3686.133417566256412        0.619735098201351
     3687.362333513391604        0.604746667282122
     3688.591659167456783        0.584936811356388
     3689.821394665043499        0.566071486804806
     3691.051540142784688        0.549291584260791
     3692.282095737371947        0.536286252463606
     3693.513061585528703        0.526354399880598
     3694.744437824029774        0.517198577967852
     3695.976224589689991        0.508384252549601
     3697.208422019383306        0.504014224072251
     3698.441030250016411        0.499226678594099
     3699.674049418545110        0.493322201157350
     3700.907479661968409        0.488181468441479
     3702.141321117341249        0.483764100536591
     3703.375573921754039        0.479497083238645
     3704.610238212344939        0.475270397627400
     3705.845314126296216        0.466364641935086
     3707.080801800845165        0.458128460788680
     3708.316701373265005        0.451945686765690
     3709.553012980877611        0.446798923825278
     3710.789736761047152        0.442716595761944
     3712.026872851195094        0.438443602111975
     3713.264421388777009        0.434102817721811
     3714.502382511298947        0.433764274346719
     3715.740756356307429        0.434144864607857
     3716.979543061407639        0.436685021146938
     3718.218742764238868        0.441393141499809
     3719.458355602489519        0.448370960955115
     3720.698381713891195        0.459679151989073
     3721.938821236231433        0.472513401478336
     3723.179674307333698        0.484000631350414
     3724.420941065070110        0.493920905650531
     3725.662621647355536        0.499059911316151
     3726.904716192162141        0.499891684870479
     3728.147224837496651        0.496432289481898
     3729.390147721415815        0.494161665400977
     3730.633484982021400        0.492318471411185
     3731.877236757458832        0.493991090849191
     3733.121403185930376        0.495596062128335
     3734.365984405672407        0.497017710083079
     3735.610980554972684        0.500525868969924
     3736.856391772159441        0.505893573064173
     3738.102218195619571        0.506587240793787
     3739.348459963774076        0.506029512689771
     3740.595117215095343        0.505454210691586
     3741.842190088095776        0.506575902911683
     3743.089678721347354        0.511465729993041
     3744.337583253456160        0.515304891065440
     3745.585903823078297        0.518363293046823
     3746.834640568911254        0.522332777298367
     3748.083793629712545        0.526478221404074
     3749.333363144272425        0.530602096521010
     3750.583349251432082        0.535018091265641
     3751.833752090074995        0.539936093759775
     3753.084571799142395        0.547180408255454
     3754.335808517610531        0.555770500140912
     3755.587462384505670        0.562234024032894
     3756.839533538896831        0.568572501126698
     3758.092022119910325        0.575432004091113
     3759.344928266707939        0.584655734980768
     3760.598252118501932        0.596894148088952
     3761.851993814545494        0.608303794843003
     3763.106153494152295        0.619378189641589
     3764.360731296668291        0.632248432742694
     3765.615727361492191        0.644591601664025
     3766.871141828063173        0.655284791851423
     3768.126974835879992        0.660335738760531
     3769.383226524475504        0.660349883221902
     3770.639897033433954        0.656908340994521
     3771.896986502384152        0.652461353180785
     3773.154495070999928        0.646200536439427
     3774.412422879011956        0.639146174716479
     3775.670770066185469        0.630652154071741
     3776.929536772337542        0.624535099132709
     3778.188723137327088        0.619799398112220
     3779.448329301071681        0.620390116399961
     3780.708355403523001        0.621422005282157
     3781.968801584684570        0.622129565780348
     3783.229667984601747        0.622650635250176
     3784.490954743379007        0.622962771379978
     3785.752662001154931        0.625389231250469
     3787.014789898119034        0.628437510831257
     3788.277338574504938        0.629496323274631
     3789.540308170602202        0.628397322724476
     3790.803698826738128        0.622693955690672
     3792.067510683288674        0.620059223907157
     3793.331743880673912        0.619442447871350
     3794.596398559371664        0.628127773258349
     3795.861474859895679        0.637836166285882
     3797.126972922809273        0.646855959195473
     3798.392892888720326        0.657658949341825
     3799.659234898293562        0.670534308096692
     3800.925999092230086        0.682934141728048
     3802.193185611281933        0.694812263901079
     3803.460794596243431        0.698011113689799
     3804.728826187967115        0.700190948271182
     3805.997280527342355        0.700305125770405
     3807.266157755308086        0.697426740337454
     3808.535458012850995        0.692731065774680
     3809.805181441000514        0.684909727148691
     3811.075328180844281        0.677398824872326
     3812.345898373506316        0.672202595040746
     3813.616892160161115        0.670727746876824
     3814.888309682026375        0.672946431228021
     3816.160151080378000        0.686074417328582
     3817.432416496528276        0.702296891071571
     3818.705106071839509        0.721551993185066
     3819.978219947718571        0.737342209970037
     3821.251758265629633        0.747716197991363
     3822.525721167073243        0.759154394837316
     3823.800108793601339        0.771077094217449
     3825.074921286807694        0.785984374439366
     3826.350158788347017        0.799270783094116
     3827.625821439907668        0.808439411570089
     3828.901909383230304        0.816939735576444
     3830.178422760098329        0.824972726658699
     3831.455361712354261        0.835159247256719
     3832.732726381877001        0.845693157097808
     3834.010516910595015        0.856563622440378
     3835.288733440482247        0.870232526007502
     3836.567376113569480        0.886728510778004
     3837.846445071924791        0.903284388943926
     3839.125940457666729        0.919045104304168
     3840.405862412957504        0.928058136907136
     3841.686211080018893        0.935221938056072
     3842.966986601107692        0.939766467814823
     3844.248189118532537        0.946789488034112
     3845.529818774644809        0.955188700986349
     3846.811875711855919        0.976936084376163
     3848.094360072612744        1.001787745344037
     3849.377271999413551        1.032642380037031
     3850.660611634803900        1.061842223463619
     3851.944379121373458        1.090158785360975
     3853.228574601771015        1.110485591044579
     3854.513198218680827        1.129373674987824
     3855.798250114838538        1.145287749214671
     3857.083730433024357        1.159880519806512
     3858.369639316077155        1.173549285656011
     3859.655976906871274        1.187456405608734
     3860.942743348333806        1.202604023984967
     3862.229938783434136        1.222099146844956
     3863.517563355202583        1.235370563783478
     3864.805617206704028        1.243208878066579
     3866.094100481055648        1.242359845546976
     3867.383013321418730        1.240596849206619
     3868.672355871013679        1.241772530341938
     3869.962128273095914        1.247207481096562
     3871.252330670974516        1.257093999421929
     3872.542963208001311        1.275961256588723
     3873.834026027587242        1.296927157381761
     3875.125519273180089        1.317697279275966
     3876.417443088279015        1.337346693515651
     3877.709797616427295        1.355634484832036
     3879.002583001227322        1.364115280923517
     3880.295799386318777        1.368862335898156
     3881.589446915391818        1.365524084563236
     3882.883525732181170        1.363670739473957
     3884.178035980481582        1.363843599589554
     3885.472977804122820        1.361379677917141
     3886.768351346988311        1.358480803104455
     3888.064156753007865        1.361185282798791
     3889.360394166155857        1.364845515131743
     3890.657063730466689        1.369923509468119
     3891.954165590010689        1.369479937459730
     3893.251699888910480        1.367176418177145
     3894.549666771332795        1.367575016641309
     3895.848066381503486        1.370342955523192
     3897.146898863686147        1.376807072694784
     3898.446164362194395        1.387049288802264
     3899.745863021387777        1.398380484504311
     3901.045994985684956        1.403249976192933
     3902.346560399540977        1.408783877537062
     3903.647559407463632        1.415369258942206
     3904.948992154003918        1.420256543869532
     3906.250858783773310        1.423844516911657
     3907.553159441420121        1.416608475759769
     3908.855894271644502        1.408842632514825
     3910.159063419190261        1.400255359994123
     3911.462667028862143        1.396037916490480
     3912.766705245500816        1.393850975049867
     3914.071178214000156        1.397374259890118
     3915.376086079296783        1.399600346422790
     3916.681428986388710        1.399917815298797
     3917.987207080310327        1.400121302579160
     3919.293420506147868        1.400649462283852
     3920.600069409032130        1.405093631384746
     3921.907153934154394        1.407652439408670
     3923.214674226741863        1.407670254018328
     3924.522630432075402        1.402071430657897
     3925.831022695479078        1.395073884093054
     3927.139851162337436        1.390393811068922
     3928.449115978072314        1.389138264905055
     3929.758817288157388        1.391963845567398
     3931.068955238115450        1.396772838298668
     3932.379529973512490        1.402546523048006
     3933.690541639976800        1.411059418911625
     3935.001990383171687        1.422221186436829
     3936.313876348814574        1.436095867010956
     3937.626199682665629        1.456532803019536
     3938.938960530546865        1.478162201743301
     3940.252159038316677        1.499592109156979
     3941.565795351886209        1.516351700314183
     3942.879869617210261        1.529133241466611
     3944.194381980306389        1.537285354092296
     3945.509332587226254        1.544134040458965
     3946.824721584076542        1.548684315371286
     3948.140549117006685        1.550555331269863
     3949.456815332227961        1.550595971718138
     3950.773520375988937        1.546039864757903
     3952.090664394589112        1.539206433782040
     3953.408247534374368        1.527697105207561
     3954.726269941750616        1.513101398406060
     3956.044731763161053        1.496878707746586
     3957.363633145101630        1.479977486188567
     3958.682974234111953        1.462454347458792
     3960.002755176794835        1.443873165205617
     3961.322976119787654        1.422980523616138
     3962.643637209781900        1.401112555064912
     3963.964738593513630        1.378143025089779
     3965.286280417779835        1.356653827667666
     3966.608262829414798        1.337012293124511
     3967.930685975305096        1.321937330445267
     3969.253550002383236        1.308370398214688
     3970.576855057641296        1.296829353975737
     3971.900601288109556        1.285315580969658
     3973.224788840871042        1.273825680181426
     3974.549417863057442        1.266137636118347
     3975.874488501846372        1.258533382615898
     3977.200000904475019        1.249837196654906
     3978.525955218219224        1.238748854773423
     3979.852351590406670        1.226197689627516
     3981.179190168411424        1.219751748697624
     3982.506471099667124        1.215926591487592
     3983.834194531646517        1.216751968577817
     3985.162360611873282        1.217124073530498
     3986.490969487918392        1.216843467775452
     3987.820021307412389        1.211719588393243
     3989.149516218024473        1.208655552984883
     3990.479454367475228        1.208023331490576
     3991.809835903532530        1.210193154052996
     3993.140660974023831        1.211707894886610
     3994.471929726815233        1.208300606991153
     3995.803642309824681        1.203628869925606
     3997.135798871016959        1.198009888422976
     3998.468399558417332        1.192982155760453
     3999.801444520088353        1.189347387638808
     4001.134933904146237        1.188619412022705
     4002.468867858752674        1.190161666186635
     4003.803246532129833        1.192795106765092
     4005.138070072538994        1.196576334126318
     4006.473338628293277        1.200540410348280
     4007.809052347751731        1.204732172584473
     4009.145211379335251        1.206369305311213
     4010.481815871502022        1.207301616308885
     4011.818865972763888        1.207627656916240
     4013.156361831681352        1.211622150095365
     4014.494303596861300        1.218280311674924
     4015.832691416972011        1.224395379433458
     4017.171525440719506        1.229340405478264
     4018.510805816862558        1.232059198626365
     4019.850532694206322        1.237490360706126
     4021.190706221617802        1.244147797710998
     4022.531326548000379        1.252336362595219
     4023.872393822312461        1.260516316774633
     4025.213908193557472        1.268687087896198
     4026.555869810800232        1.271060209960992
     4027.898278823143755        1.272006834833907
     4029.241135379744719        1.271280876139374
     4030.584439629805274        1.274749397830149
     4031.928191722589418        1.280621381653317
     4033.272391807399345        1.288848682144921
     4034.617040033590001        1.297407103467686
     4035.962136550562718        1.306425930294972
     4037.307681507781581        1.319681274283491
     4038.653675054746600        1.334038236088050
     4040.000117341013265        1.348724768184414
     4041.347008516181631        1.362063289470324
     4042.694348729914964        1.374450889657566
     4044.042138131913362        1.387410249047570
     4045.390376871931494        1.399961796360251
     4046.739065099769050        1.411791659943730
     4048.088202965288929        1.423124062965516
     4049.437790618390864        1.433966758512079
     4050.787828209029612        1.442995490978175
     4052.138315887204499        1.453189700136964
     4053.489253802978510        1.464335495256191
     4054.840642106451469        1.477120070962680
     4056.192480947778222        1.487799075537498
     4057.544770477161819        1.494257662318001
     4058.897510844853969        1.496384192203201
     4060.250702201166405        1.497022107785843
     4061.604344696449971        1.497884101591995
     4062.958438481109170        1.502775834086301
     4064.312983705594888        1.511145107635104
     4065.667980520420770        1.523054219139792
     4067.023429076137290        1.533157301297628
     4068.379329523350407        1.539238483017456
     4069.735682012711095        1.545314975250724
     4071.092486694933541        1.552286228751973
     4072.449743720770130        1.564725342746397
     4073.807453241026906        1.575222239446842
     4075.165615406555844        1.584093373226266
     4076.524230368273038        1.577748414098770
     4077.883298277130962        1.568030835492385
     4079.242819284137113        1.553667261392795
     4080.602793540345829        1.544627359009577
     4081.963221196873292        1.538376473251305
     4083.324102404873884        1.537677850827285
     4084.685437315556555        1.537076361072675
     4086.047226080177097        1.536547214246629
     4087.409468850052690        1.535488547657068
     4088.772165776540987        1.537548357694925
     4090.135317011051484        1.544505819872147
     4091.498922705041423        1.556522989602419
     4092.862983010031712        1.569039985341559
     4094.227498077579185        1.578692186309433
     4095.592468059297971        1.584643028581631
     4096.957893106846313        1.588285274554741
     4098.323773371947027        1.590070643595133
     4099.690109006359307        1.591738598169003
     4101.056900161899648        1.593261767770741
     4102.424146990432746        1.593442155127551
     4103.791849643871501        1.591995552261464
     4105.160008274190659        1.586867581745670
     4106.528623033404074        1.578870366739982
     4107.897694073580169        1.569681215125719
     4109.267221546832843        1.561144500421045
     4110.637205605340569        1.549257491724248
     4112.007646401320017        1.534365970695149
     4113.378544087042428        1.517885133009562
     4114.749898814825428        1.501919743679371
     4116.121710737049398        1.487014451493341
     4117.493980006134734        1.474669325631166
     4118.866706774555496        1.463964039540433
     4120.239891194832126        1.456878991681215
     4121.613533419550549        1.448072081496983
     4122.987633601332163        1.438216757728852
     4124.362191892854753        1.427900084519657
     4125.737208446842487        1.418953857303995
     4127.112683416085019        1.411533009550612
     4128.488616953407472        1.401703236206793
     4129.865009211691358        1.390385070891413
     4131.241860343865483        1.376515751311731
     4132.619170502922316        1.364356980456473
     4133.996939841889798        1.353469933889422
     4135.375168513855897        1.345882200107052
     4136.753856671951326        1.343419871429847
     4138.133004469372281        1.344487777882911
     4139.512612059354069        1.350244769850781
     4140.892679595185655        1.356705597777868
     4142.273207230208754        1.363994868832022
     4143.654195117809650        1.372580886416764
     4145.035643411441015        1.380407791503837
     4146.417552264592814        1.386278542174177
     4147.799921830809581        1.389646849932885
     4149.182752263684961        1.390249500247594
     4150.566043716874447        1.382258277604287
     4151.949796344072638        1.370710581649643
     4153.334010299031434        1.357300397462827
     4154.718685735546387        1.350221372345401
     4156.103822807478537        1.346033262491104
     4157.489421668729847        1.344900818388568
     4158.875482473254124        1.344123482117332
     4160.262005375053377        1.341828836849158
     4161.648990528196009        1.336765199764250
     4163.036438086785893        1.335374208790371
     4164.424348204985108        1.335852614595728
     4165.812721037000301        1.339359572706633
     4167.201556737103601        1.338327562666008
     4168.590855459607155        1.334873643302958
     4169.980617358876771        1.329733976082160
     4171.370842589325548        1.326516691215866
     4172.761531305432072        1.324852626358687
     4174.152683661713127        1.331413271861261
     4175.544299812741883        1.336659903311951
     4176.936379913136079        1.340145135475622
     4178.328924117581664        1.336822273671374
     4179.721932580800967        1.332140089644035
     4181.115405457572706        1.326564306752160
     4182.509342902722892        1.318469407816006
     4183.903745071141202        1.309654103994838
     4185.298612117758239        1.301004099431563
     4186.693944197559176        1.289274530322595
     4188.089741465580119        1.275714060776554
     4189.486004076905374        1.260174428351522
     4190.882732186684734        1.249974575747929
     4192.279925950104371        1.244092029773080
     4193.677585522409572        1.244019939379390
     4195.075711058891102        1.242210461465401
     4196.474302714904297        1.238295643357157
     4197.873360645844514        1.229091925581211
     4199.272885007162586        1.219863544938434
     4200.672875954356641        1.211641181982139
     4202.073333642990292        1.208599161375379
     4203.474258228665349        1.206231531842086
     4204.875649867039101        1.202192288298709
     4206.277508713819770        1.193657846794027
     4207.679834924775605        1.183651385247284
     4209.082628655718509        1.175467629359318
     4210.485890062512226        1.169349049480985
     4211.889619301072344        1.164699250895990
     4213.293816527376293        1.162509097934013
     4214.698481897441525        1.159881813448802
     4216.103615567342786        1.156870433447275
     4217.509217693202118        1.148738285562059
     4218.915288431204317        1.139322198937771
     4220.321827937576927        1.128387071870371
     4221.728836368601151        1.116705771699450
     4223.136313880607304        1.104452233426003
     4224.544260629990276        1.091345980516103
     4225.952676773184066        1.079588808696142
     4227.361562466679970        1.069272062049161
     4228.770917867020216        1.061819044200888
     4230.180743130796145        1.056613407305245
     4231.591038414662762        1.053113122430347
     4233.001803875316000        1.053149782776374
     4234.413039669508180        1.055469864559974
     4235.824745954037098        1.058679185858378
     4237.236922885768763        1.060674201882227
     4238.649570621608291        1.059105335030265
     4240.062689318514458        1.054978397170429
     4241.476279133497883        1.047710908088803
     4242.890340223631938        1.041076070270616
     4244.304872746030014        1.034979998422728
     4245.719876857863710        1.028867734877067
     4247.135352716350098        1.022568497930509
     4248.551300478772646        1.016063689078662
     4249.967720302455746        1.011744690935803
     4251.384612344778361        1.008652214994270
     4252.801976763169478        1.007112092867019
     4254.219813715121745        1.003356087602158
     4255.638123358169651        0.998382174003085
     4257.056905849901341        0.991730246144107
     4258.476161347956804        0.984718972566315
     4259.895890010038784        0.977655281116378
     4261.316091993890041        0.970642444949784
     4262.736767457312453        0.961768712311101
     4264.157916558152465        0.952086261614334
     4265.579539454325641        0.941595748905008
     4267.001636303785745        0.933960896653093
     4268.424207264542929        0.928039920042661
     4269.847252494656459        0.924628153429105
     4271.270772152251084        0.921602775481497
     4272.694766395491570        0.918663534618621
     4274.119235382599982        0.915212351883780
     4275.544179271849316        0.909912532217130
     4276.969598221563501        0.903448450640717
     4278.395492390130130        0.896167741901669
     4279.821861935978632        0.889701617975888
     4281.248707017593915        0.883669051036619
     4282.676027793509093        0.876175399671482
     4284.103824422326397        0.865693077641998
     4285.532097062683533        0.852698537062333
     4286.960845873278231        0.836396518275332
     4288.390071012855515        0.821707631815171
     4289.819772640227711        0.808511113258265
     4291.249950914245346        0.798518308153526
     4292.680605993817153        0.788894454149641
     4294.111738037900977        0.779651999940355
     4295.543347205521059        0.774358493975325
     4296.975433655738925        0.771791382152001
     4298.407997547676132        0.772280950145673
     4299.841039040501528        0.773119103364017
     4301.274558293451264        0.774425364455408
     4302.708555465801510        0.776309612194221
     4304.143030716883914        0.781545164068777
     4305.577984206081055        0.786486616587807
     4307.013416092840998        0.790636857890091
     4308.449326536651824        0.791139108015657
     4309.885715697058913        0.792152820743698
     4311.322583733655847        0.794526101413011
     4312.759930806104421        0.804137276942401
     4314.197757074106448        0.816038011178431
     4315.636062697418311        0.830176013347523
     4317.074847835848232        0.842197832915369
     4318.514112649269919        0.852714453396769
     4319.953857297598006        0.861159903029316
     4321.394081940803517        0.870361187210880
     4322.834786738911134        0.880714610427551
     4324.275971851995564        0.892926069056581
     4325.717637440196995        0.904885990976747
     4327.159783663694725        0.915408443010043
     4328.602410682729897        0.923327827600550
     4330.045518657587309        0.930207976747148
     4331.489107748622700        0.937485512499159
     4332.933178116230920        0.945873044696962
     4334.377729920862294        0.955377909551489
     4335.822763323019899        0.963719357075460
     4337.268278483270478        0.969447595327410
     4338.714275562223520        0.975463210221290
     4340.160754720545810        0.982649078638256
     4341.607716118950520        0.991946339426570
     4343.055159918222671        1.002128588535435
     4344.503086279182753        1.013309492706045
     4345.951495362713104        1.026041460836468
     4347.400387329743353        1.041321194557406
     4348.849762341269525        1.056254723607059
     4350.299620558328570        1.069787626652603
     4351.749962142017466        1.077549765805237
     4353.200787253479575        1.084346885002173
     4354.652096053927380        1.091048649904334
     4356.103888704612473        1.098368255725598
     4357.556165366844652        1.104478073048411
     4359.008926201984650        1.108498614806930
     4360.462171371458680        1.108004711289164
     4361.915901036734795        1.106762062435340
     4363.370115359336523        1.105218780945379
     4364.824814500844695        1.105676843423714
     4366.279998622888343        1.105577801375084
     4367.735667887162890        1.104434315823082
     4369.191822455404690        1.104639027935345
     4370.648462489409212        1.106982003839655
     4372.105588151020129        1.111896046133593
     4373.563199602150235        1.119125538495892
     4375.021297004752341        1.127228204978094
     4376.479880520835650        1.136197795592441
     4377.938950312460292        1.145851668729998
     4379.398506541756433        1.151567833489594
     4380.858549370890614        1.153221988358742
     4382.319078962090316        1.149991936351211
     4383.780095477632130        1.144147330992033
     4385.241599079860862        1.135883574176430
     4386.703589931160423        1.125947203307578
     4388.166068193973842        1.115246264298364
     4389.629034030795083        1.103936411979060
     4391.092487604185408        1.092475465842544
     4392.556429076744280        1.085459771092051
     4394.020858611133917        1.081458054803255
     4395.485776370063832        1.077820441305069
     4396.951182516310837        1.075280815543635
     4398.417077212693584        1.073398793485626
     4399.883460622088933        1.071730505704000
     4401.350332907425582        1.067122513881465
     4402.817694231695896        1.060608487209810
     4404.285544757937714        1.052009855705067
     4405.753884649244355        1.041968863492136
     4407.222714068760069        1.031838296711844
     4408.692033179698228        1.023019416275768
     4410.161842145310402        1.014484271830601
     4411.632141128910007        1.007024460877017
     4413.102930293863210        1.001844356878615
     4414.574209803586200        1.001096927962173
     4416.045979821564288        1.001949996850540
     4417.518240511321892        1.004056290848359
     4418.990992036444368        1.004440351558324
     4420.464234560566183        1.003543969173977
     4421.937968247389108        1.001151122531324
     4423.412193260658569        0.997589550575722
     4424.886909764175471        0.993490186731286
     4426.362117921793470        0.988862684908146
     4427.837817897434434        0.982412612532607
     4429.314009855059339        0.976647066154476
     4430.790693958689189        0.971536391080742
     4432.267870372396828        0.967247835825736
     4433.745539260321493        0.965716644528471
     4435.223700786643349        0.966534241431609
     4436.702355115603496        0.970647093599620
     4438.181502411492147        0.975960810094165
     4439.661142838667729        0.982769694049177
     4441.141276561530503        0.993111420821923
     4442.621903744539850        1.002691065448285
     4444.103024552205170        1.012598165988778
     4445.584639149104987        1.024079143454752
     4447.066747699857842        1.038275250034555
     4448.549350369142303        1.052016582742984
     4450.032447321687869        1.063733664500167
     4451.516038722293160        1.070393882138221
     4453.000124735795907        1.075356905659418
     4454.484705527094775        1.078896942108130
     4455.969781261138451        1.089055049321884
     4457.455352102944744        1.097822407056148
     4458.941418217572391        1.104840584456336
     4460.427979770141064        1.108297141763141
     4461.915036925822278        1.115351374999081
     4463.402589849841206        1.125372145820047
     4464.890638707490325        1.138501733939163
     4466.379183664103948        1.151375234626431
     4467.868224885075506        1.163215584453946
     4469.357762535850270        1.171857452407565
     4470.847796781940815        1.185406947187928
     4472.338327788902461        1.200998662740015
     4473.829355722349646        1.217793183532919
     4475.320880747947740        1.229169512462021
     4476.812903031430324        1.239650643487954
     4478.305422738573725        1.250125008978717
     4479.798440035212479        1.256558119941431
     4481.291955087233873        1.262722202376637
     4482.785968060593405        1.268534782524689
     4484.280479121286589        1.269195214385880
     4485.775488435370789        1.263156632018750
     4487.270996168954298        1.251747148556736
     4488.767002488212711        1.235193456200206
     4490.263507559365280        1.217303726326328
     4491.760511548690374        1.201870961688864
     4493.258014622516384        1.195289020958577
     4494.756016947241733        1.195211127674939
     4496.254518689307588        1.196560004997901
     4497.753520015212416        1.197680578600814
     4499.253021091509254        1.204337090696296
     4500.753022084817530        1.214074122024818
     4502.253523161799421        1.226680328624000
     4503.754524489178038        1.238271575049339
     4505.256026233730154        1.245810462420849
     4506.758028562285290        1.250118129499070
     4508.260531641741181        1.252521379071436
     4509.763535639039219        1.256982569232895
     4511.267040721179001        1.262292519886628
     4512.771047055211966        1.267443549115649
     4514.275554808260495        1.269953682038712
     4515.780564147485165        1.271069006488978
     4517.286075240111131        1.270857142173679
     4518.792088253411748        1.269339561158951
     4520.298603354732222        1.265482071341464
     4521.805620711456868        1.259040658341726
     4523.313140491032755        1.247825455933107
     4524.821162860958793        1.238404752235915
     4526.329687988800288        1.231839990373435
     4527.838716042167107        1.233211885363995
     4529.348247188730056        1.239053694097335
     4530.858281596208144        1.245130911820932
     4532.368819432394957        1.248290620632228
     4533.879860865120463        1.243964583550427
     4535.391406062281021        1.240310379945853
     4536.903455191819376        1.238929844384825
     4538.416008421751030        1.242896007394158
     4539.929065920132416        1.242592745317430
     4541.442627855081810        1.238514416798840
     4542.956694394767510        1.230853572448590
     4544.471265707428756        1.225340765739088
     4545.986341961345715        1.222779694031138
     4547.501923324861309        1.225595377431856
     4549.018009966368481        1.224625946102077
     4550.534602054330207        1.217598737799346
     4552.051699757253118        1.203098244418984
     4553.569303243702961        1.188805580333966
     4555.087412682301874        1.176724190590646
     4556.606028241723834        1.166611599321478
     4558.125150090714669        1.158080601031265
     4559.644778398060225        1.150665114292849
     4561.164913332607284        1.144201076133207
     4562.685555063256288        1.138991005589142
     4564.206703758976801        1.135643457321528
     4565.728359588779313        1.133409626007614
     4567.250522721738889        1.132240022223397
     4568.773193326977889        1.132134468362105
     4570.296371573692340        1.132283160857980
     4571.820057631119198        1.132543247090659
     4573.344251668557263        1.132442329744960
     4574.868953855356267        1.132498002866046
     4576.394164360937793        1.133073555531149
     4577.919883354765261        1.134643110136062
     4579.446111006361207        1.138447008784955
     4580.972847485303646        1.143549616851651
     4582.500092961237897        1.149650599153836
     4584.027847603853843        1.153488331015416
     4585.556111582902304        1.155765509569933
     4587.084885068185031        1.157512507664061
     4588.614168229575625        1.160477564138369
     4590.143961236989526        1.165944261979548
     4591.674264260404016        1.170862045490389
     4593.205077469848220        1.173955808536947
     4594.736401035421295        1.174495011102634
     4596.268235127266053        1.175648874541964
     4597.800579915586241        1.177444012872744
     4599.333435570641996        1.179809556000935
     4600.866802262746205        1.182760583200736
     4602.400680162281787        1.186295887152601
     4603.935069439676226        1.190624603103009
     4605.469970265416123        1.193304067200249
     4607.005382810041738        1.194571265301467
     4608.541307244163363        1.194727892686248
     4610.077743738435856        1.196866857648806
     4611.614692463572283        1.200078047755599
     4613.152153590342095        1.203062527422513
     4614.690127289582961        1.203875122019314
     4616.228613732176200        1.198858862217874
     4617.767613089064071        1.192708192083797
     4619.307125531242491        1.186585058430194
     4620.847151229777410        1.184978241702252
     4622.387690355778432        1.181993628419448
     4623.928743080417007        1.177078543283012
     4625.470309574915518        1.168216055473934
     4627.012390010569106        1.157700607612936
     4628.554984558714750        1.148747285674288
     4630.098093390753093        1.142626907386434
     4631.641716678134799        1.139841344254503
     4633.185854592383293        1.135322530630352
     4634.730507305064748        1.128947186259384
     4636.275674987808088        1.119706449539926
     4637.821357812292263        1.109337818688447
     4639.367555950270798        1.099494036440707
     4640.914269573537240        1.090927685313824
     4642.461498853950616        1.080022900951959
     4644.009243963419067        1.066618917277604
     4645.557505073923494        1.051673287317336
     4647.106282357489363        1.037542710394428
     4648.655575986203075        1.027984614122719
     4650.205386132207423        1.023029710381530
     4651.755712967698855        1.023348711926604
     4653.306556664945674        1.024117656625565
     4654.857917396258927        1.022380413511886
     4656.409795334012415        1.018925996295604
     4657.962190650632692        1.015447809199067
     4659.515103518616343        1.010181836405107
     4661.068534110505425        1.002050035630735
     4662.622482598902934        0.990369119306830
     4664.176949156465525        0.978451812535267
     4665.731933955920795        0.971329597590198
     4667.287437170039993        0.967801439105543
     4668.843458971657128        0.966416149099257
     4670.399999533658956        0.962004389420251
     4671.957059029003176        0.957873313057535
     4673.514637630692050        0.955063823661352
     4675.072735511790597        0.955719630046358
     4676.631352845414767        0.956282462206620
     4678.190489804754179        0.955974861974469
     4679.750146563042108        0.953397503389936
     4681.310323293572765        0.954372896386487
     4682.871020169695839        0.957831267853872
     4684.432237364830144        0.963178684729363
     4685.993975052440874        0.966693261160851
     4687.556233406052343        0.969288183131627
     4689.119012599246162        0.969607663479377
     4690.682312805673064        0.965945110050220
     4692.246134199029257        0.960382221771492
     4693.810476953070975        0.958970575819102
     4695.375341241609931        0.961802417447450
     4696.940727238530599        0.968418835614846
     4698.506635117758378        0.973769764957299
     4700.073065053284154        0.979092257003289
     4701.640017219155197        0.984949188009819
     4703.207491789472442        0.993568091226203
     4704.775488938410490        1.004300441061470
     4706.344008840183960        1.015637274266469
     4707.913051669075685        1.025074343997365
     4709.482617599416699        1.031269531407756
     4711.052706805614434        1.037573693603767
     4712.623319462117252        1.044258058630575
     4714.194455743438084        1.048823947712350
     4715.766115824143526        1.050602406253585
     4717.338299878871112        1.050159173503896
     4718.911008082303852        1.047513395811947
     4720.484240609186600        1.044060012370489
     4722.057997634318781        1.040920604124557
     4723.632279332570761        1.037985805487554
     4725.207085878859289        1.034949740240935
     4726.782417448162050        1.033695153978919
     4728.358274215510392        1.033878920683728
     4729.934656356011146        1.035001094587115
     4731.511564044811166        1.032742702741041
     4733.088997457123696        1.026852582355307
     4734.666956768213822        1.019390422033820
     4736.245442153419390        1.011693484139813
     4737.824453788123719        1.007367893260556
     4739.403991847771977        1.004507923781691
     4740.984056507863897        1.000820939955452
     4742.564647943971977        0.991042652392256
     4744.145766331712366        0.977821941243254
     4745.727411846764880        0.966833172442639
     4747.309584664868453        0.959261905446060
     4748.892284961814767        0.954612935078677
     4750.475512913469174        0.948294600701001
     4752.059268695740684        0.940897980618121
     4753.643552484602878        0.932700687520670
     4755.228364456081181        0.931529756855266
     4756.813704786277412        0.931711175835271
     4758.399573651334322        0.931109155826165
     4759.985971227459231        0.926309306292753
     4761.572897690914942        0.918950560417889
     4763.160353218036107        0.911845356777987
     4764.748337985201033        0.905700811344528
     4766.336852168852602        0.901997098576815
     4767.925895945487355        0.901798275458958
     4769.515469491676413        0.903996169210504
     4771.105572984033643        0.908208429609268
     4772.696206599237485        0.913051558512421
     4774.287370514020040        0.917420284078651
     4775.879064905186169        0.921713918517368
     4777.471289949587117        0.926205382876665
     4779.064045824135974        0.929361942249088
     4780.657332705801309        0.932018117336997
     4782.251150771624452        0.934949595563673
     4783.845500198692207        0.939356881503896
     4785.440381164153223        0.947581469477301
     4787.035793845211629        0.960886717286305
     4788.631738419146131        0.978594648340603
     4790.228215063279094        0.998865828171808
     4791.825223954996545        1.016402479044282
     4793.422765271738172        1.031920881210329
     4795.020839191019149        1.045404657465513
     4796.619445890399220        1.055939534490211
     4798.218585547499970        1.061976158289288
     4799.818258340003922        1.061518461375435
     4801.418464445647260        1.053670533860226
     4803.019204042241654        1.043277953878134
     4804.620477307641522        1.037254954071487
     4806.222284419765856        1.032847194766345
     4807.824625556588217        1.028099801256809
     4809.427500896156744        1.023306537573821
     4811.030910616563233        1.020573848009689
     4812.634854895964963        1.019064278712110
     4814.239333912573784        1.017818113049086
     4815.844347844673393        1.017054819383418
     4817.449896870593875        1.015448922785435
     4819.055981168730796        1.011486279299580
     4820.662600917531563        1.002142335409394
     4822.269756295520892        0.987544444287715
     4823.877447481265335        0.969731355522659
     4825.485674653397837        0.951351653990291
     4827.094437990605002        0.939193692691760
     4828.703737671648923        0.922699845180096
     4830.313573875335351        0.901409025092946
     4831.923946780535516        0.878146647038616
     4833.534856566173403        0.864994116692313
     4835.146303411250301        0.857410643382764
     4836.758287494810247        0.852331137134605
     4838.370808995962761        0.847906927569302
     4839.983868093871024        0.838379727462470
     4841.597464967775522        0.829849373845479
     4843.211599796958581        0.823533696830164
     4844.826272760768916        0.819004121337391
     4846.441484038608905        0.808333530224637
     4848.057233809957324        0.795115610788377
     4849.673522254337513        0.781658268032213
     4851.290349551335567        0.769121651033994
     4852.907715880599426        0.757874849874522
     4854.525621421832511        0.746514979690825
     4856.144066354811002        0.736632177303265
     4857.763050859357463        0.729485666136973
     4859.382575115358122        0.729194088095259
     4861.002639302757416        0.733701988871292
     4862.623243601569811        0.738549423667815
     4864.244388191859798        0.740916597497061
     4865.866073253752802        0.744107357770404
     4867.488298967431547        0.750534734094342
     4869.111065513154244        0.755805571566443
     4870.734373071221853        0.756595681619442
     4872.358221822003543        0.750962103321901
     4873.982611945920326        0.742710172170130
     4875.607543623470519        0.736508322020988
     4877.233017035197918        0.735892550982061
     4878.859032361709069        0.738987279144419
     4880.485589783668729        0.740071573804546
     4882.112689481815323        0.742840880073035
     4883.740331636932751        0.750234240385798
     4885.368516429868578        0.764525674677138
     4886.997244041529484        0.779904889796875
     4888.626514652894002        0.792247370796753
     4890.256328444987048        0.798593974709559
     4891.886685598899930        0.801182272471077
     4893.517586295777619        0.804853729305741
     4895.149030716841480        0.807322771179820
     4896.781019043358356        0.807186994218676
     4898.413551456660571        0.806769981928348
     4900.046628138139567        0.809881307504428
     4901.680249269244086        0.815011940232583
     4903.314415031497447        0.820952281938080
     4904.949125606469352        0.823864039654620
     4906.584381175793169        0.825710182973526
     4908.220181921158655        0.828164040195050
     4909.856528024332874        0.832180103130870
     4911.493419667126545        0.838584831939161
     4913.130857031415871        0.844321207643525
     4914.768840299133444        0.848930348705819
     4916.407369652289162        0.852588979709174
     4918.046445272933852        0.857402483093138
     4919.686067343190189        0.865893567125701
     4921.326236045230871        0.876950563549660
     4922.966951561307724        0.889076446181449
     4924.608214073718045        0.897618585223641
     4926.250023764823709        0.904659512600694
     4927.892380817042977        0.914701987087083
     4929.535285412870508        0.927516958632295
     4931.178737734846436        0.939635210673776
     4932.822737965575470        0.943559288529886
     4934.467286287719617        0.942799230295739
     4936.112382884017279        0.939678615770512
     4937.758027937250517        0.937735411767186
     4939.404221630271422        0.933976309142893
     4941.050964145982107        0.929018435044122
     4942.698255667366539        0.926092352861317
     4944.346096377450522        0.929401692575250
     4945.994486459328073        0.939188652010959
     4947.643426096148687        0.946445563064760
     4949.292915471138258        0.949331334644584
     4950.942954767568153        0.946722042716622
     4952.593544168775225        0.945265688268014
     4954.244683858159988        0.943316033046046
     4955.896374019174800        0.938228217375828
     4957.548614835353874        0.929183599953376
     4959.201406490272348        0.921475155483504
     4960.854749167574482        0.918434738039593
     4962.508643050960018        0.917392256666735
     4964.163088324204182        0.916521062778121
     4965.818085171131315        0.912446924505072
     4967.473633775627604        0.908856607610919
     4969.129734321639262        0.907651453766910
     4970.786386993186170        0.908340237937609
     4972.443591974338233        0.909170185931968
     4974.101349449227200        0.909215284653730
     4975.759659602043030        0.908465894381927
     4977.418522617054805        0.908584049132668
     4979.077938678573446        0.911498942360025
     4980.737907970979904        0.919134229089075
     4982.398430678708792        0.925638244300741
     4984.059506986273846        0.932047041661388
     4985.721137078233369        0.939004689783702
     4987.383321139213876        0.946186922181921
     4989.046059353896453        0.956687389110807
     4990.709351907040400        0.969086844947171
     4992.373198983450493        0.981644689611579
     4994.037600767998811        0.990352826315222
     4995.702557445614730        0.996388467168548
     4997.368069201302205        0.999766922794797
     4999.034136220114306        0.999728923330684
     5000.700758687167763        0.995265229064239
     5002.367936787644794        0.984122766743880
     5004.035670706781275        0.973301116314114
     5005.703960629891299        0.964861157591784
     5007.372806742336252        0.960142809006231
     5009.042209229542095        0.958068320961649
     5010.712168276992998        0.954482549698022
     5012.382684070251344        0.954948095145094
     5014.053756794924084        0.961164875060706
     5015.725386636685471        0.972213333074384
     5017.397573781267965        0.975351249065340
     5019.070318414480425        0.975350087844055
     5020.743620722177184        0.973529780254675
     5022.417480890281695        0.970945087968529
     5024.091899104772892        0.968052120511776
     5025.766875551708836        0.965969705080961
     5027.442410417190331        0.968040156582417
     5029.118503887390034        0.976345116619995
     5030.795156148533351        0.991558008933608
     5032.472367386927544        1.005946762837012
     5034.150137788923530        1.018581476510285
     5035.828467540939528        1.030021095236020
     5037.507356829451965        1.041830419997045
     5039.186805841014575        1.051129616052319
     5040.866814762227477        1.055519664971833
     5042.547383779758093        1.056320486818188
     5044.228513080332050        1.055224506005804
     5045.910202850750466        1.055261207098481
     5047.592453277863569        1.062153455597308
     5049.275264548587074        1.073806375167133
     5050.958636849896720        1.087792549105158
     5052.642570368841916        1.099901404585819
     5054.327065292523002        1.111344572516620
     5056.012121808105803        1.123158167448568
     5057.697740102817988        1.132966545331139
     5059.383920363945435        1.138099984950206
     5061.070662778852238        1.133592870759759
     5062.757967534949785        1.125140706376180
     5064.445834819714946        1.118294246201269
     5066.134264820683711        1.115418397381511
     5067.823257725471194        1.117615759342062
     5069.512813721736165        1.122963298376854
     5071.202932997207427        1.132281798362623
     5072.893615739671986        1.144133743285649
     5074.584862136993252        1.157376218829016
     5076.276672377081923        1.174004172666679
     5077.969046647916912        1.190367387424243
     5079.661985137535339        1.202214626921570
     5081.355488034050722        1.208924061528775
     5083.049555525626602        1.211815245017944
     5084.744187800491090        1.209290394095928
     5086.439385046932330        1.207967157093683
     5088.135147453314858        1.206985723142604
     5089.831475208053234        1.205062238638668
     5091.528368499627504        1.199322971905103
     5093.225827516575919        1.194766836694799
     5094.923852447514946        1.192636261678374
     5096.622443481110167        1.195048088922272
     5098.321600806092647        1.204120205144073
     5100.021324611253476        1.217072926952659
     5101.721615085461053        1.225994172143977
     5103.422472417631070        1.233542019673265
     5105.123896796747431        1.241646808825813
     5106.825888411852247        1.252279169784456
     5108.528447452065848        1.259062451946249
     5110.231574106557673        1.260175975418447
     5111.935268564562648        1.258086744805548
     5113.639531015380271        1.255858930409211
     5115.344361648368249        1.258143163752190
     5117.049760652962505        1.263379990959896
     5118.755728218646254        1.269609388119378
     5120.462264534971837        1.275152833180374
     5122.169369791548888        1.278411294551479
     5123.877044178067081        1.281465744290196
     5125.585287884261561        1.281328498735034
     5127.294101099937507        1.276131861505534
     5129.003484014958303        1.265165701194300
     5130.713436819265553        1.248638825612110
     5132.423959702849061        1.225587834861582
     5134.135052855766844        1.209097739211113
     5135.846716468135128        1.201528895517890
     5137.558950730148354        1.202415853248735
     5139.271755832050985        1.206377043160850
     5140.985131964152970        1.210001957467335
     5142.699079316826101        1.214285695366070
     5144.413598080518568        1.219686721856715
     5146.128688445727676        1.225788633380018
     5147.844350603018029        1.227842351679252
     5149.560584743013351        1.216147185505548
     5151.277391056418310        1.198412115295504
     5152.994769733983048        1.181853485607937
     5154.712720966526831        1.173688836835240
     5156.431244944929858        1.175006980655135
     5158.150341860147819        1.178223369861243
     5159.870011903186423        1.177790926980805
     5161.590255265120504        1.172036850348920
     5163.311072137088559        1.161755848893230
     5165.032462710287291        1.157691031219308
     5166.754427175992532        1.159468443615204
     5168.476965725527407        1.162994463543995
     5170.200078550286889        1.166133782415039
     5171.923765841721433        1.168346632864815
     5173.648027791363347        1.182955089805165
     5175.372864590790414        1.207175641671888
     5177.098276431653176        1.229161191749388
     5178.824263505657655        1.240927261273250
     5180.550826004589908        1.238865326907647
     5182.277964120286924        1.233320856922388
     5184.005678044652086        1.229657333881190
     5185.733967969646983        1.222362063354574
     5187.462834087316878        1.209575860413185
     5189.192276589750691        1.196413834475900
     5190.922295669110099        1.199164919491194
     5192.652891517613170        1.207363438605806
     5194.384064327558917        1.216626624190525
     5196.115814291295464        1.223830418784368
     5197.848141601238240        1.227317978636903
     5199.581046449864516        1.237898115051174
     5201.314529029727964        1.249193528828155
     5203.048589533434097        1.260880677273527
     5204.783228153654818        1.272105481894008
     5206.518445083123879        1.279768698865378
     5208.254240514652338        1.283012213012044
     5209.990614641102184        1.284761728586977
     5211.727567655403618        1.285383157529304
     5213.465099750545050        1.283358469278623
     5215.203211119597654        1.273435525797592
     5216.941901955678986        1.258897907029381
     5218.681172451977545        1.245240329557990
     5220.421022801744584        1.230356154403140
     5222.161453198292293        1.213852511959191
     5223.902463835011986        1.198982079331220
     5225.644054905344092        1.188216856100717
     5227.386226602799070        1.171637912308837
     5229.128979120945587        1.151394402261819
     5230.872312653434165        1.131433341038215
     5232.616227393962617        1.117299467185019
     5234.360723536299702        1.105448908654175
     5236.105801274272380        1.093010817758950
     5237.851460801789472        1.080886620409031
     5239.597702312807087        1.067231484859669
     5241.344526001354097        1.047800274807956
     5243.091932061513944        1.024129767000866
     5244.839920687454651        1.006017242369031
     5246.588492073392445        0.991746340774118
     5248.337646413612674        0.978221449784593
     5250.087383902459806        0.961759395941934
     5251.837704734360159        0.942158103010796
     5253.588609103789167        0.923708029006503
     5255.340097205291386        0.906352965731581
     5257.092169233470486        0.891236297719374
     5258.844825383013813        0.880110914265195
     5260.598065848653277        0.876411999560393
     5262.351890825193550        0.875429978347841
     5264.106300507501146        0.872086718095108
     5265.861295090518979        0.868409755108800
     5267.616874769240894        0.867091976303446
     5269.373039738733496        0.868825008069024
     5271.129790194117959        0.867371272501348
     5272.887126330601859        0.864920976879305
     5274.645048343438248        0.863485451086115
     5276.403556427952935        0.862912644803005
     5278.162650779533578        0.860315305555710
     5279.922331593632407        0.858699155712039
     5281.682599065778049        0.861642561343612
     5283.443453391550975        0.865749259670667
     5285.204894766602592        0.869775314563797
     5286.966923386642520        0.874252734645869
     5288.729539447462230        0.882512523087831
     5290.492743144902306        0.890778124272297
     5292.256534674876093        0.898219464992944
     5294.020914233353324        0.905039628107459
     5295.785882016387404        0.911581369861304
     5297.551438220079945        0.917696380947758
     5299.317583040604404        0.922350369665711
     5301.084316674194270        0.928433335960726
     5302.851639317163063        0.935457680034260
     5304.619551165875237        0.941335495973850
     5306.388052416765277        0.942905912744352
     5308.157143266328603        0.942535082972477
     5309.926823911140673        0.942759429944284
     5311.697094547826055        0.943621599216932
     5313.467955373083896        0.945413656462603
     5315.239406583670643        0.948300110850436
     5317.011448376424596        0.951660014061166
     5318.784080948233168        0.951366101767030
     5320.557304496056531        0.948747774410668
     5322.331119216913066        0.947732216679402
     5324.105525307905737        0.949482317114046
     5325.880522966184799        0.951082378933756
     5327.656112388971451        0.951642017315766
     5329.432293773553283        0.954598786225647
     5331.209067317279732        0.957944573852255
     5332.986433217579361        0.961719387966567
     5334.764391671933481        0.967537961742958
     5336.542942877891619        0.979578803286750
     5338.322087033065145        0.996153312023876
     5340.101824335149104        1.012694189773334
     5341.882154981885833        1.029706359293558
     5343.663079171088611        1.047507576756964
     5345.444597100634383        1.065613874572113
     5347.226708968479215        1.082553582089177
     5349.009414972631930        1.095188267011589
     5350.792715311167740        1.101898974843437
     5352.576610182228251        1.103601521146359
     5354.361099784034195        1.101661421662764
     5356.146184314857237        1.096301128693540
     5357.931863973039071        1.089572731344487
     5359.718138956983239        1.083960015344761
     5361.505009465176954        1.081930030483737
     5363.292475696154725        1.082673423662227
     5365.080537848523818        1.083617556429903
     5366.869196120953347        1.083523014934144
     5368.658450712192462        1.085851075218557
     5370.448301821043060        1.090551945004189
     5372.238749646377983        1.098825940238547
     5374.029794387128277        1.109798096255257
     5375.821436242312302        1.120296568426687
     5377.613675410993892        1.125663717417981
     5379.406512092312369        1.125930625743762
     5381.199946485465262        1.125666182023239
     5382.993978789734683        1.129079769415271
     5384.788609204451859        1.136638388483563
     5386.583837929018955        1.143353860257737
     5388.379665162907258        1.142360087790544
     5390.176091105648084        1.134701379141854
     5391.973115956854599        1.123121658448512
     5393.770739916189996        1.111271338961856
     5395.568963183390224        1.101646210156173
     5397.367785958253990        1.093635288222848
     5399.167208440660943        1.082886978053298
     5400.967230830539847        1.068180530588871
     5402.767853327895864        1.054576812564165
     5404.569076132790542        1.045112598144256
     5406.370899445370924        1.040292050185737
     5408.173323465834983        1.037347816204087
     5409.976348394451634        1.037944914953044
     5411.779974431551636        1.038751853769071
     5413.584201777548515        1.038181700809869
     5415.389030632906724        1.036126409495344
     5417.194461198163481        1.032983198987374
     5419.000493673915116        1.028389039690485
     5420.807128260844365        1.020680594815782
     5422.614365159682166        1.013159199456100
     5424.422204571232214        1.006967165246935
     5426.230646696361873        0.998851497046452
     5428.039691736017630        0.985202232889561
     5429.849339891201453        0.967064972673107
     5431.659591362983520        0.949118340917558
     5433.470446352497675        0.929901312419097
     5435.281905060961435        0.910768717087323
     5437.093967689643250        0.892727023811437
     5438.906634439882509        0.875783054493434
     5440.719905513086815        0.858368494615174
     5442.533781110723794        0.839527217490713
     5444.348261434349297        0.825678726932065
     5446.163346685563738        0.817357864796385
     5447.979037066045748        0.812753106920372
     5449.795332777530348        0.810640259956342
     5451.612234021842596        0.812449871321395
     5453.429741000852118        0.819499281856014
     5455.247853916505846        0.827284771905002
     5457.066572970808920        0.834204582923400
     5458.885898365853791        0.841246950975562
     5460.705830303782932        0.849015421317078
     5462.526368986808848        0.856696114676542
     5464.347514617209526        0.864365556634483
     5466.169267397344811        0.874927178734842
     5467.991627529627294        0.883982155957271
     5469.814595216540511        0.889200782699860
     5471.638170660630749        0.891803610640377
     5473.462354064528881        0.895839714589399
     5475.287145630916712        0.905259616042640
     5477.112545562547893        0.919797981847277
     5478.938554062240655        0.936579868854273
     5480.765171332895079        0.953851481320025
     5482.592397577462179        0.970293562901152
     5484.420232998969368        0.985816799143399
     5486.248677800501355        1.002418621567069
     5488.077732185231071        1.025917556941847
     5489.907396356381469        1.050005144376234
     5491.737670517248262        1.065877980687987
     5493.568554871189917        1.072954835664238
     5495.400049621647668        1.076295316244766
     5497.232154972117314        1.082894497387052
     5499.064871126165599        1.091082559883699
     5500.898198287427476        1.092389534146352
     5502.732136659599746        1.091322107718168
     5504.566686446465610        1.088255508144859
     5506.401847851858292        1.084955788868327
     5508.237621079682867        1.085808832986687
     5510.074006333910802        1.098109335575084
     5511.911003818595418        1.111459521903749
     5513.748613737840969        1.119060124494946
     5515.586836295828107        1.125907121061923
     5517.425671696795689        1.134316999420911
     5519.265120145071705        1.144264831291415
     5521.105181845034167        1.154709422054186
     5522.945857001133845        1.168242653202022
     5524.787145817883356        1.181443436935846
     5526.629048499882629        1.192934088081979
     5528.471565251782522        1.209720158137698
     5530.314696278306656        1.229115109777506
     5532.158441784240495        1.242821324888484
     5534.002801974457725        1.245378047528091
     5535.847777053881146        1.249182497780369
     5537.693367227507224        1.255394014215721
     5539.539572700396093        1.255836260591426
     5541.386393677693377        1.252103026878121
     5543.233830364596542        1.245702482548729
     5545.081882966374906        1.235453667345334
     5546.930551688361447        1.218209087504900
     5548.779836735978279        1.211682332188052
     5550.629738314692077        1.214249330136566
     5552.480256630050462        1.216589322100170
     5554.331391887658356        1.214751025564768
     5556.183144293210717        1.209242109649847
     5558.035514052451617        1.203200769081606
     5559.888501371199709        1.199057771671577
     5561.742106455342764        1.198720829244314
     5563.596329510830401        1.198881943791402
     5565.451170743699549        1.193713687371392
     5567.306630360038071        1.187017039574845
     5569.162708566007495        1.184471638872111
     5571.019405567834838        1.188103111528947
     5572.876721571828966        1.194162791416998
     5574.734656784352410        1.201443825259440
     5576.593211411844095        1.211107134825706
     5578.452385660804794        1.217221060194411
     5580.312179737818951        1.221110930004636
     5582.172593849525583        1.226981432598111
     5584.033628202636464        1.236320882349638
     5585.895283003928853        1.241230146558278
     5587.757558460264590        1.242620632319164
     5589.620454778556450        1.247083361784932
     5591.483972165794512        1.254504465727775
     5593.348110829028883        1.259742234434184
     5595.212870975397891        1.262141271890992
     5597.078252812091705        1.265291996481372
     5598.944256546375073        1.266310801948465
     5600.810882385575496        1.260202740431181
     5602.678130537107791        1.257690595307357
     5604.546001208438611        1.254299967038350
     5606.414494607108281        1.251477193766005
     5608.283610940721701        1.251653935111745
     5610.153350416971080        1.255238874051278
     5612.023713243597740        1.259680262495657
     5613.894699628420312        1.267123773819551
     5615.766309779326548        1.276980695370477
     5617.638543904266953        1.281920365595006
     5619.511402211279346        1.285234589364153
     5621.384884908454296        1.291602910814330
     5623.258992203955131        1.298435253432743
     5625.133724306009753        1.294426815436816
     5627.009081422935196        1.282203937333907
     5628.885063763097605        1.272994158131930
     5630.761671534939524        1.261527996765657
     5632.638904946967159        1.250529015675343
     5634.516764207773122        1.245349165897322
     5636.395249526003681        1.244067379127257
     5638.274361110377868        1.239033691982562
     5640.154099169682013        1.232083652530870
     5642.034463912787032        1.236499760911884
     5643.915455548614773        1.241550360757790
     5645.797074286166207        1.245587227978800
     5647.679320334504155        1.250252169782001
     5649.562193902777835        1.253134083808300
     5651.445695200189220        1.252770991415032
     5653.329824436017589        1.254324965363144
     5655.214581819604973        1.262757272020947
     5657.099967560378900        1.264701104856116
     5658.985981867821465        1.261309786177492
     5660.872624951491161        1.257903231395085
     5662.759897021007419        1.253522373535676
     5664.647798286079706        1.249119225636495
     5666.536328956468424        1.249491666878644
     5668.425489242010372        1.258316597359386
     5670.315279352606922        1.269115052133702
     5672.205699498246759        1.275545814905055
     5674.096749888969498        1.281875344322229
     5675.988430734892063        1.286724951287504
     5677.880742246202317        1.290308586510011
     5679.773684633150879        1.295237237111129
     5681.667258106075678        1.302828034034009
     5683.561462875368306        1.307380107432289
     5685.456299151495841        1.303988315861660
     5687.351767144990845        1.292855839326022
     5689.247867066470462        1.280161080274868
     5691.144599126608227        1.271058262169439
     5693.041963536152252        1.267748423306299
     5694.939960505914314        1.270030339274220
     5696.838590246794411        1.274229444680795
     5698.737852969746200        1.271173973258746
     5700.637748885797919        1.258969443296340
     5702.538278206045106        1.248953887015170
     5704.439441141667885        1.244177691334815
     5706.341237903900947        1.243347875953764
     5708.243668704055381        1.242828223478456
     5710.146733753505941        1.236605168480745
     5712.050433263717423        1.220005820162066
     5713.954767446203732        1.196616489051854
     5715.859736512559721        1.183716538694226
     5717.765340674442086        1.182577512202962
     5719.671580143596657        1.182706559352320
     5721.578455131821102        1.179453647163095
     5723.485965850990397        1.170015062782788
     5725.394112513045002        1.154858883001064
     5727.302895330012689        1.138497509750918
     5729.212314513975798        1.127213281674201
     5731.122370277089431        1.120454998623672
     5733.033062831578718        1.109511701638722
     5734.944392389752466        1.096486175897151
     5736.856359163976776        1.085767217901733
     5738.768963366690514        1.077172762463974
     5740.682205210406210        1.069157286736685
     5742.596084907700060        1.061341730893368
     5744.510602671238303        1.054577703023815
     5746.425758713737196        1.048506269385788
     5748.341553247993033        1.042915017252017
     5750.257986486866685        1.033794787106684
     5752.175058643305420        1.030105840208598
     5754.092769930312897        1.031602834429602
     5756.011120560966447        1.034944433826853
     5757.930110748412517        1.040311379764731
     5759.849740705882141        1.049324767305917
     5761.770010646661831        1.059697485040520
     5763.690920784115406        1.067510803727092
     5765.612471331671259        1.061177184564067
     5767.534662502846913        1.054954135068933
     5769.457494511213554        1.053798245742376
     5771.380967570418761        1.052418846517005
     5773.305081894175601        1.049383342622377
     5775.229837696287177        1.042480978933181
     5777.155235190608437        1.029715494267738
     5779.081274591073452        1.016183048965495
     5781.007956111679960        1.010737033377446
     5782.935279966514827        1.022981578989645
     5784.863246369721310        1.040962616567322
     5786.791855535515424        1.052975338547434
     5788.721107678184126        1.060751481144919
     5790.651003012097135        1.065098447858289
     5792.581541751684199        1.068322412117808
     5794.512724111447824        1.074411736314211
     5796.444550305965095        1.083702956545669
     5798.377020549875851        1.090281457943461
     5800.310135057912703        1.094785799491874
     5802.243894044860099        1.096044109779652
     5804.178297725578886        1.093700745621219
     5806.113346314996306        1.086572178127175
     5808.049040028132367        1.080959670694753
     5809.985379080056191        1.082061509105744
     5811.922363685916935        1.089049521450450
     5813.859994060929239        1.099560210324463
     5815.798270420396875        1.118385288610905
     5817.737192979679094        1.141252051552656
     5819.676761954210633        1.162259422653857
     5821.616977559493534        1.179071615104271
     5823.557840011118969        1.191002950392975
     5825.499349524732679        1.199719308667299
     5827.441506316057712        1.206556234349971
     5829.384310600884419        1.212612173419700
     5831.327762595090462        1.215993228988723
     5833.271862514608074        1.210911123439924
     5835.216610575451341        1.205709184202648
     5837.162006993696195        1.208297664311049
     5839.108051985507700        1.208967513743226
     5841.054745767110035        1.211243481951791
     5843.002088554800139        1.214358906896998
     5844.950080564945893        1.220593367273877
     5846.898722014000668        1.229442695636495
     5848.848013118475137        1.237956171037777
     5850.797954094957277        1.244153158232780
     5852.748545160100548        1.246724192402017
     5854.699786530650272        1.242629969158868
     5856.651678423404519        1.243280381195495
     5858.604221055240487        1.251253491210124
     5860.557414643106313        1.263603466200629
     5862.511259404018347        1.270186520242234
     5864.465755555082069        1.268296387485575
     5866.420903313458439        1.262827955042286
     5868.376702896385723        1.258787765054519
     5870.333154521169490        1.256421547513296
     5872.290258405203531        1.252593485358235
     5874.248014765938933        1.240076626066283
     5876.206423820905002        1.217004207850313
     5878.165485787696525        1.187812459095038
     5880.125200883996513        1.154395097190696
     5882.085569327548910        1.120693227980890
     5884.046591336169513        1.093752317020796
     5886.008267127745967        1.075060271433737
     5887.970596920252319        1.062491783851691
     5889.933580931719916        1.057347702886034
     5891.897219380258321        1.064767056320430
     5893.861512484043487        1.083851142146491
     5895.826460461341412        1.113663517226259
     5897.792063530474479        1.151432993355226
     5899.758321909843289        1.191804976272502
     5901.725235817914836        1.225686094832387
     5903.692805473247063        1.247894256074753
     5905.661031094452483        1.261816943904231
     5907.629912900221825        1.271539475947639
     5909.599451109315851        1.279140467238285
     5911.569645940582632        1.284646189251012
     5913.540497612928448        1.286867818256148
     5915.512006345334157        1.291243541277930
     5917.484172356858835        1.298548681093281
     5919.456995866625221        1.302425691524775
     5921.430477093847003        1.305832804811989
     5923.404616257794260        1.308034156549562
     5925.379413577817104        1.313137348331804
     5927.354869273329314        1.317642493388776
     5929.330983563839254        1.317935116277456
     5931.307756668909860        1.315853983338053
     5933.285188808181374        1.314589089383968
     5935.263280201363159        1.313624221861907
     5937.242031068253709        1.313237973246983
     5939.221441628709727        1.312228181732647
     5941.201512102666129        1.315306684071286
     5943.182242710123319        1.317266055524541
     5945.163633671176285        1.316664733516968
     5947.145685205970949        1.314236592499517
     5949.128397534737815        1.305437161221192
     5951.111770877771050        1.290256684101199
     5953.095805455456684        1.274899040557566
     5955.080501488238951        1.265233246510200
     5957.065859196638485        1.260648336497863
     5959.051878801244129        1.255704382241401
     5961.038560522737498        1.249362800057864
     5963.025904581854775        1.247942431156605
     5965.013911199412178        1.255299422896119
     5967.002580596294138        1.263748328606369
     5968.991912993473306        1.273135062145523
     5970.981908611984181        1.278271754385690
     5972.972567672934019        1.275137708096552
     5974.963890397502837        1.270111840307301
     5976.955877006960691        1.269123029890464
     5978.948527722634026        1.269021789033811
     5980.941842765925685        1.262868748605988
     5982.935822358318546        1.249545659401857
     5984.930466721358243        1.233759767535322
     5986.925776076684997        1.213114677825964
     5988.921750645991779        1.191876167009173
     5990.918390651056143        1.179344441552622
     5992.915696313718399        1.164079094917962
     5994.913667855915264        1.141065981367555
     5996.912305499636204        1.117213640702443
     5998.911609466953450        1.099162569511792
     6000.911579980005627        1.087353246280087
     6002.912217261022306        1.077411605179274
     6004.913521532293089        1.065845738087660
     6006.915493016182154        1.051443830031513
     6008.918131935126439        1.031324535743719
     6010.921438511652923        1.007178659715134
     6012.925412968345881        0.984904563643164
     6014.930055527868717        0.965837937495539
     6016.935366412952135        0.952063419333680
     6018.941345846424156        0.940053639628619
     6020.947994051161004        0.935450284412974
     6022.955311250127124        0.938306202304048
     6024.963297666348808        0.940812480442679
     6026.971953522950571        0.938733268635369
     6028.981279043107861        0.933467794540442
     6030.991274450080709        0.925615210092784
     6033.001939967194630        0.911893690362391
     6035.013275817869726        0.890034864121687
     6037.025282225582487        0.863599081667176
     6039.037959413888530        0.834711555184412
     6041.051307606411683        0.806071589049203
     6043.065327026870364        0.787168415022046
     6045.080017899037557        0.778042518209624
     6047.095380446769923        0.769798896615995
     6049.111414893994151        0.758252706116061
     6051.128121464709693        0.747678823131153
     6053.145500383006947        0.740445540768080
     6055.163551873030883        0.733816586642647
     6057.182276159012872        0.727012085882202
     6059.201673465247950        0.720144145228224
     6061.221744016124831        0.708281611983113
     6063.242488036091345        0.688248956219051
     6065.263905749673540        0.669417971309948
     6067.285997381467496        0.657151050197219
     6069.308763156162968        0.639285214598220
     6071.332203298504282        0.619228679377991
     6073.356318033319440        0.607892318710697
     6075.381107585502832        0.594161430974370
     6077.406572180045259        0.576415870399010
     6079.432712041989362        0.565130787704931
     6081.459527396464182        0.558258899997136
     6083.487018468663337        0.549928432203636
     6085.515185483877758        0.541979511193059
     6087.544028667452039        0.535186396295327
     6089.573548244813537        0.526546513835911
     6091.603744441458730        0.518111067392323
     6093.634617482976864        0.515435350564534
     6095.666167595013576        0.516227227069177
     6097.698395003298174        0.513249794950810
     6099.731299933626360        0.506567038749958
     6101.764882611889334        0.500381112933068
     6103.799143264033773        0.491193819476178
     6105.834082116090940        0.484455448190031
     6107.869699394162126        0.478574045841442
     6109.905995324423202        0.466937919405407
     6111.942970133139170        0.454028968709756
     6113.980624046636876        0.444626949104912
     6116.018957291322295        0.440853381042481
     6118.057970093667791        0.438995532405841
     6120.097662680245776        0.438491687152259
     6122.138035277681411        0.442612419569165
     6124.179088112682621        0.450975769209935
     6126.220821412027362        0.461988831483661
     6128.263235402586361        0.476485029231533
     6130.306330311289457        0.488073263394285
     6132.350106365146530        0.487822418059858
     6134.394563791237488        0.481153527201442
     6136.439702816736826        0.485478813560369
     6138.485523668876340        0.496488856238092
     6140.532026574970587        0.503361448050877
     6142.579211762399609        0.504533864120247
     6144.627079458642584        0.499699776147829
     6146.675629891235076        0.496055064619293
     6148.724863287791777        0.507023506522481
     6150.774779876000139        0.530071871590786
     6152.825379883641290        0.551421074694961
     6154.876663538552748        0.565925339029873
     6156.928631068656614        0.575249777441810
     6158.981282701940472        0.582649627866812
     6161.034618666491042        0.591930218615825
     6163.088639190449612        0.602700542151071
     6165.143344502042055        0.611916458071169
     6167.198734829560635        0.618418270260258
     6169.254810401396753        0.624019938755254
     6171.311571445995469        0.633646894396630
     6173.369018191886425        0.643315259097291
     6175.427150867673845        0.654939883875484
     6177.485969702034708        0.664277157154014
     6179.545474923737856        0.672241285208069
     6181.605666761610337        0.683218915469279
     6183.666545444564690        0.693447043627912
     6185.728111201578940        0.708828825909083
     6187.790364261729337        0.723155443321710
     6189.853304854148519        0.733535821225930
     6191.916933208052797        0.745074612705086
     6193.981249552727604        0.763461758315263
     6196.046254117553872        0.788623973958300
     6198.111947131969828        0.810994067346844
     6200.178328825497374        0.826087322728301
     6202.245399427729353        0.841475138805794
     6204.313159168350467        0.860018175023128
     6206.381608277107262        0.877754444696618
     6208.450746983827230        0.894672499118956
     6210.520575518407895        0.909321468640222
     6212.591094110843187        0.917017077838197
     6214.662302991183424        0.927066236721033
     6216.734202389563507        0.952606176317792
     6218.806792536189278        0.972138601360315
     6220.880073661360257        0.973544191770217
     6222.954045995434171        0.981389057093042
     6225.028709768853332        0.998456978393691
     6227.104065212129171        1.026548802740115
     6229.180112555869528        1.062744800454716
     6231.256852030739537        1.097246466037159
     6233.334283867488921        1.122812925134922
     6235.412408296935610        1.146782221938270
     6237.491225549996670        1.170795208069241
     6239.570735857645559        1.183108308461009
     6241.650939450937585        1.183893153863558
     6243.731836561006276        1.179971159670851
     6245.813427419057916        1.176443960723722
     6247.895712256391562        1.175974775257330
     6249.978691304366293        1.176166376006146
     6252.062364794424866        1.174762486989485
     6254.146732958078246        1.173826518311115
     6256.231796026937445        1.178352407462532
     6258.317554232669863        1.190846607507164
     6260.404007807026574        1.204906312513506
     6262.491156981826862        1.210378638912216
     6264.579001988991877        1.206123365254790
     6266.667543060497337        1.198952041091877
     6268.756780428401726        1.194012260063569
     6270.846714324838103        1.199152537605430
     6272.937344982033210        1.207659476664398
     6275.028672632272901        1.216027155343340
     6277.120697507927616        1.221090211340696
     6279.213419841436917        1.226836863521387
     6281.306839865339498        1.241411830056480
     6283.400957812230445        1.256594722396847
     6285.495773914790334        1.262673924186791
     6287.591288405768864        1.265412485776870
     6289.687501518014869        1.274522581888433
     6291.784413484434481        1.297576183990312
     6293.882024538017504        1.337692545876532
     6295.980334911825594        1.379779321627987
     6298.079344839016812        1.408643598167242
     6300.179054552808338        1.418346938978994
     6302.279464286501934        1.419789068465277
     6304.380574273474849        1.427911998909401
     6306.482384747179822        1.439930655740095
     6308.584895941161449        1.445517561672731
     6310.688108089027082        1.441919622302068
     6312.792021424466839        1.431237685318472
     6314.896636181241774        1.416932663377136
     6317.001952593212991        1.403192663198228
     6319.107970894295249        1.394943766677583
     6321.214691318492441        1.383805691286355
     6323.322114099877581        1.364262697214161
     6325.430239472620997        1.340914862862430
     6327.539067670953955        1.312517833298756
     6329.648598929189575        1.280129435828237
     6331.758833481713737        1.269651575787964
     6333.869771563010545        1.284794332777529
     6335.981413407621403        1.305562246099951
     6338.093759250174116        1.326188794009358
     6340.206809325366521        1.342916358734926
     6342.320563867995588        1.359037132054965
     6344.435023112914678        1.373557380816222
     6346.550187295066280        1.387369582257244
     6348.666056649461098        1.387489554392195
     6350.782631411208058        1.376207585528456
     6352.899911815476116        1.373504753161136
     6355.017898097518810        1.378331035765660
     6357.136590492661526        1.389206155476467
     6359.255989236326968        1.397686339701679
     6361.376094563997867        1.398887552763224
     6363.496906711241536        1.402793885872061
     6365.618425913697138        1.408249241428079
     6367.740652407102061        1.408343535954110
     6369.863586427252812        1.408717010221311
     6371.987228210030480        1.420190284352253
     6374.111577991396189        1.435554704152659
     6376.236636007381094        1.448730776963063
     6378.362402494116395        1.455014396648973
     6380.488877687792410        1.446372896502283
     6382.616061824683129        1.435249169479696
     6384.743955141136212        1.428102647402300
     6386.872557873597543        1.416826540474562
     6389.001870258572126        1.405296837311384
     6391.131892532649545        1.392047846682276
     6393.262624932493054        1.368100324980483
     6395.394067694864134        1.346813419297716
     6397.526221056581562        1.348958863671435
     6399.659085254553247        1.367198983091606
     6401.792660525756219        1.383840495418526
     6403.926947107267551        1.398185095010372
     6406.061945236225256        1.406919151495315
     6408.197655149849197        1.406335612884690
     6410.334077085435638        1.409023100507695
     6412.471211280376338        1.418916737248780
     6414.609057972124901        1.423780769876379
     6416.747617398219518        1.418152699461031
     6418.886889796272953        1.411055384318373
     6421.026875403993472        1.407162636509835
     6423.167574459150273        1.398114351943867
     6425.308987199600779        1.386763705373897
     6427.451113863271530        1.380698436699307
     6429.593954688190934        1.369324662770562
     6431.737509912444693        1.354053673600616
     6433.881779774206734        1.343703834394974
     6436.026764511728288        1.330992682475688
     6438.172464363335166        1.316558099863876
     6440.318879567450495        1.305401091703823
     6442.466010362559246        1.288516238795660
     6444.613856987231884        1.276078431412419
     6446.762419680110725        1.279705450493680
     6448.911698679938127        1.276527639449533
     6451.061694225516476        1.263625515727426
     6453.212406555734560        1.260049892537672
     6455.363835909553018        1.260870237290784
     6457.515982526033440        1.262718675294911
     6459.668846644295627        1.278314313102842
     6461.822428503548508        1.283025323598249
     6463.976728343070135        1.266660746925012
     6466.131746402243152        1.255872255520883
     6468.287482920503862        1.247697596577241
     6470.443938137381338        1.232292760000493
     6472.601112292473772        1.216484364981369
     6474.759005625482132        1.207735951069282
     6476.917618376162864        1.201893534613866
     6479.076950784364271        1.200351138165364
     6481.237003090004691        1.206305563850717
     6483.397775533103413        1.213792281773741
     6485.559268353737934        1.217619657335654
     6487.721481792077611        1.223515503245297
     6489.884416088358194        1.245875263065829
     6492.048071482920932        1.264492331939495
     6494.212448216165285        1.261131350914171
     6496.377546528578023        1.253178657534342
     6498.543366660716856        1.251638504704617
     6500.709908853243178        1.260019946783623
     6502.877173346878408        1.267549931789724
     6505.045160382427639        1.276365309573711
     6507.213870200778729        1.276609860863978
     6509.383303042893203        1.254991256053685
     6511.553459149832634        1.218987181881705
     6513.724338762719526        1.193381881046214
     6515.895942122760971        1.179727811128668
     6518.068269471241365        1.163965774931078
     6520.241321049541511        1.141635496527936
     6522.415097099107697        1.116809014414360
     6524.589597861468064        1.100407393165260
     6526.764823578228970        1.088971245785282
     6528.940774491094089        1.083219541663079
     6531.117450841829850        1.096063993358146
     6533.294852872289994        1.119656610731155
     6535.472980824399201        1.130026859253070
     6537.651834940187655        1.133540765474327
     6539.831415461741926        1.145727030001486
     6542.011722631237717        1.155087920114958
     6544.192756690924398        1.158449307486802
     6546.374517883154112        1.155940316867046
     6548.557006450335393        1.153066904617290
     6550.740222634969541        1.150412484442714
     6552.924166679628797        1.130559221228531
     6555.108838826986357        1.119881877711380
     6557.294239319777262        1.136892070042911
     6559.480368400823863        1.149388523004641
     6561.667226313022184        1.146469846897499
     6563.854813299371017        1.145981270571764
     6566.043129602927365        1.153705539468415
     6568.232175466838271        1.167895765104053
     6570.421951134324445        1.179352270336526
     6572.612456848707552        1.182840632975656
     6574.803692853370194        1.185016128717254
     6576.995659391783192        1.172081230533223
     6579.188356707498315        1.144998813547359
     6581.381785044142816        1.126689797537750
     6583.575944645443087        1.124008967076650
     6585.770835755188273        1.125526135788503
     6587.966458617255739        1.119432231169748
     6590.162813475595613        1.104046803666415
     6592.359900574262610        1.089406442852051
     6594.557720157368749        1.084254374707501
     6596.756272469117903        1.086149253886394
     6598.955557753786707        1.086606824055260
     6601.155576255752749        1.085162082694094
     6603.356328219455463        1.083147383602587
     6605.557813889425233        1.077171741240932
     6607.760033510262474        1.071713969065921
     6609.962987326672192        1.069679154899057
     6612.166675583421238        1.067930831829669
     6614.371098525362868        1.061614211438748
     6616.576256397426732        1.052249856814651
     6618.782149444643437        1.050674022543933
     6620.988777912106343        1.058306462432405
     6623.196142044996122        1.064502630815721
     6625.404242088567116        1.063942978069814
     6627.613078288179167        1.060329814881450
     6629.822650889252145        1.060358640674185
     6632.032960137292321        1.059270679223648
     6634.244006277883273        1.054422048681927
     6636.455789556711352        1.052262458794751
     6638.668310219522937        1.053975814209404
     6640.881568512153535        1.049078216644046
     6643.095564680520511        1.043265182432417
     6645.310298970616714        1.047037046997624
     6647.525771628537768        1.052090156485642
     6649.741982900441144        1.049421574704584
     6651.958933032570712        1.041752332161488
     6654.176622271248561        1.040021471093633
     6656.395050862898643        1.038011377004211
     6658.614219054004934        1.034709457277114
     6660.834127091142363        1.030924208452695
     6663.054775220961346        1.030901051721070
     6665.276163690213252        1.029081336411186
     6667.498292745712206        1.016251013544137
     6669.721162634361463        1.008635635093001
     6671.944773603140675        1.007513326784984
     6674.169125899130449        1.007470754329825
     6676.394219769474148        1.011186398257791
     6678.620055461404263        1.016587365449890
     6680.846633222229684        1.015753420163201
     6683.073953299362074        1.015509341713446
     6685.302015940273122        1.025002658608526
     6687.530821392526377        1.035896942630894
     6689.760369903759965        1.043409144866042
     6691.990661721714787        1.046101600481074
     6694.221697094195406        1.041782332719090
     6696.453476269092789        1.033783402212679
     6698.685999494377029        1.029565073578916
     6700.919267018118262        1.037308121374982
     6703.153279088453019        1.048950462389354
     6705.388035953602412        1.042152703428744
     6707.623537861867590        1.022720867208144
     6709.859785061650655        1.010622350161293
     6712.096777801416465        1.001103629132593
     6714.334516329719918        0.996198160137673
     6716.573000895199584        0.995729404424117
     6718.812231746567704        0.995691278511608
     6721.052209132642020        0.999783963572127
     6723.292933302302117        1.005030665208126
     6725.534404504516715        1.009106761174152
     6727.776622988332747        1.023698759920432
     6730.019589002897192        1.034664646429498
     6732.263302797424330        1.038539224912993
     6734.507764621213937        1.051255112185942
     6736.752974723644002        1.058564953671822
     6738.998933354196197        1.060826299566822
     6741.245640762414041        1.055069676297251
     6743.493097197932912        1.033719413727912
     6745.741302910461854        1.009590992452453
     6747.990258149817237        0.996266557541219
     6750.239963165873633        0.987410940988326
     6752.490418208600204        0.975186932921630
     6754.741623528039781        0.960321133395834
     6756.993579374340698        0.944267073439107
     6759.246285997713130        0.933432499469689
     6761.499743648456388        0.925150148824391
     6763.753952576949814        0.917045501924425
     6766.008913033674617        0.910649370140214
     6768.264625269173848        0.901448560737431
     6770.521089534082421        0.897697698969326
     6772.778306079112554        0.904123104765401
     6775.036275155080148        0.916559762391084
     6777.294997012862041        0.928440849497031
     6779.554471903428748        0.937244304829418
     6781.814700077825364        0.944237171957756
     6784.075681787202484        0.948414885145423
     6786.337417282774368        0.950399948000485
     6788.599906815843497        0.955918839333087
     6790.863150637797844        0.954372154901663
     6793.127149000102690        0.946841468624701
     6795.391902154326999        0.936843618442471
     6797.657410352103398        0.912399194298186
     6799.923673845153644        0.894221288623428
     6802.190692885278622        0.883267948732234
     6804.458467724383809        0.879847702753916
     6806.726998614437434        0.883013890663174
     6808.996285807497770        0.891342134261894
     6811.266329555700395        0.905529370716973
     6813.537130111288207        0.919773164747086
     6815.808687726563221        0.922994387045602
     6818.081002653921132        0.928498355520317
     6820.354075145835850        0.949859022926400
     6822.627905454883148        0.970701372053437
     6824.902493833705194        0.977493437865364
     6827.177840535034193        0.975372378456771
     6829.453945811677841        0.976154888265419
     6831.730809916552971        0.979902293357961
     6834.008433102634626        0.982494402171750
     6836.286815622994254        0.976575659404808
     6838.565957730778791        0.962993069800596
     6840.845859679238856        0.934479232247246
     6843.126521721689642        0.894728654795998
     6845.407944111539109        0.860374087136994
     6847.690127102271617        0.837341849382095
     6849.973070947477026        0.821014452976331
     6852.256775900807042        0.797436296969986
     6854.541242216009778        0.774737560690002
     6856.826470146912470        0.760342915475070
     6859.112459947422394        0.758434842830522
     6861.399211871554144        0.767936794258856
     6863.686726173382340        0.778590774402624
     6865.975003107076191        0.787624601855616
     6868.264042926882212        0.795742538845338
     6870.553845887150601        0.799796065537264
     6872.844412242298858        0.802551094863450
     6875.135742246831796        0.811664134740843
     6877.427836155337900        0.826785414812506
     6879.720694222505699        0.834768671783261
     6882.014316703091026        0.833704068140768
     6884.308703851940663        0.828544280568153
     6886.603855923980518        0.824048237299188
     6888.899773174239272        0.826693064233081
     6891.196455857814726        0.833256212165997
     6893.493904229891086        0.838206504235000
     6895.792118545735320        0.837536703081558
     6898.091099060718079        0.825497380869814
     6900.390846030274588        0.814506079807184
     6902.691359709931930        0.813216612806148
     6904.992640355296317        0.820546441769140
     6907.294688222078548        0.833468074088831
     6909.597503566055821        0.842384231419897
     6911.901086643096278        0.838953436231401
     6914.205437709146281        0.836887585871374
     6916.510557020259512        0.846334577040989
     6918.816444832552406        0.853868894015796
     6921.123101402235079        0.853745614559862
     6923.430526985595861        0.857886331341467
     6925.738721839029495        0.862729179602290
     6928.047686218995295        0.864995498293782
     6930.357420382044438        0.866570666331901
     6932.667924584813591        0.870469626137754
     6934.979199084018546        0.883201052018453
     6937.291244136482419        0.891987474393183
     6939.604059999091987        0.889005576509508
     6941.917646928825889        0.878729288459029
     6944.232005182743706        0.868960960431987
     6946.547135018008703        0.859257895850988
     6948.863036691852358        0.855841617668783
     6951.179710461595278        0.865910756568864
     6953.497156584639924        0.876802732128493
     6955.815375318494262        0.875618589677215
     6958.134366920729917        0.876983154963202
     6960.454131649014016        0.882007985185694
     6962.774669761090991        0.894420433982839
     6965.095981514810774        0.909980394981843
     6967.418067168092421        0.921345019655179
     6969.740926978944117        0.924053966847733
     6972.064561205454083        0.914075335009082
     6974.388970105818771        0.904346196725424
     6976.714153938299205        0.901618599237522
     6979.040112961247360        0.892670046813476
     6981.366847433097064        0.881292802692824
     6983.694357612388558        1.057602671703455
     6986.022643757727565        1.069768172799068
     6988.351706127810758        1.051173565367310
     6990.681544981417574        1.035783932828192
     6993.012160577432951        1.028728748381527
     6995.343553174806402        1.021961712606326
     6997.675723032582027        1.010580084154474
     7000.008670409889419        1.008548680774747
     7002.342395565938205        1.010179992538909
     7004.676898760044423        1.005921663162443
     7007.012180251592326        1.002368931052659
     7009.348240300056204        1.006341737253989
     7011.685079164990384        1.015030144380956
     7014.022697106059240        1.020948401440878
     7016.361094382990814        1.024993856262139
     7018.700271255606822        1.028406866205732
     7021.040227983808109        1.035270376385707
     7023.380964827604657        1.039689859026436
     7025.722482047071935        1.030150552238397
     7028.064779902377268        1.020112009381972
     7030.407858653768926        1.019473865117432
     7032.751718561604321        1.022683040920320
     7035.096359886304526        1.023071938916324
     7037.441782888385205        1.021954441114172
     7039.787987828442056        1.022436961910156
     7042.134974967178096        1.025882414430496
     7044.482744565363646        1.022216501388461
     7046.831296883860887        1.017825727014551
     7049.180632183613852        1.029827881183155
     7051.530750725672988        1.048927141252655
     7053.881652771156951        1.073043907193292
     7056.233338581275348        1.094247886105637
     7058.585808417321459        1.099059297078746
     7060.939062540693158        1.093482232193136
     7063.293101212857437        1.089222918043953
     7065.647924695373149        1.086887303789227
     7068.003533249881002        1.089993923812595
     7070.359927138128114        1.089288570074329
     7072.717106621930725        1.072977083308877
     7075.075071963197843        1.042232780654595
     7077.433823423923968        1.025708121425781
     7079.793361266185457        1.033095291016860
     7082.153685752168712        1.042008040708222
     7084.514797144123804        1.049266995687392
     7086.876695704398117        1.061579431667066
     7089.239381695415432        1.073338142583401
     7091.602855379712310        1.083786333131554
     7093.967117019889884        1.100263797308663
     7096.332166878642965        1.111822799246666
     7098.698005218747312        1.109086595855203
     7101.064632303089638        1.082751170072684
     7103.432048394620324        1.050873762887096
     7105.800253756386155        1.025689678390417
     7108.169248651513044        1.011884372863018
     7110.539033343238771        1.011941550237015
     7112.909608094863870        1.013244543152191
     7115.280973169785284        1.000228227292087
     7117.653128831482718        0.986874984288156
     7120.026075343541379        0.987476932597222
     7122.399812969616505        1.000542126195955
     7124.774341973456103        1.037283997833414
     7127.149662618889124        1.068044893510132
     7129.525775169854569        1.067100835125801
     7131.902679890357831        1.056970219462327
     7134.280377044499801        1.050739515311151
     7136.658866896461404        1.050481038168719
     7139.038149710533617        1.057626213041481
     7141.418225751074715        1.061830697235682
     7143.799095282536655        1.060183136942972
     7146.180758569454156        1.045727864186008
     7148.563215876471077        1.038127744604793
     7150.946467468295850        1.036610447817141
     7153.330513609736045        1.023773342582651
     7155.715354565685629        1.030838850463895
     7158.100990601118610        1.053969937627565
     7160.487421981120860        1.068873351875354
     7162.874648970843737        1.072139090114667
     7165.262671835535002        1.080224850040311
     7167.651490840524275        1.100793848400262
     7170.041106251248493        1.109852642392500
     7172.431518333213717        1.116026096707811
     7174.822727352022412        1.141978125986467
     7177.214733573356170        1.155303096889972
     7179.607537263008453        1.153508019041985
     7182.001138686839113        1.151448944813740
     7184.395538110803500        1.148919529864674
     7186.790735800938819        1.153347516669489
     7189.186732023392324        1.160103754106331
     7191.583527044379480        1.168292517088617
     7193.981121130211250        1.174828554982369
     7196.379514547277722        1.190415097115886
     7198.778707562082673        1.215107153772600
     7201.178700441196270        1.232214488391267
     7203.579493451283270        1.239877005202739
     7205.981086859093011        1.237520324915429
     7208.383480931482154        1.223581792420877
     7210.786675935376479        1.210716742655350
     7213.190672137798174        1.224829558231808
     7215.595469805849461        1.260215791105501
     7218.001069206746251        1.263711265324395
     7220.407470607769028        1.235523052074865
     7222.814674276295591        1.212258844140696
     7225.222680479793780        1.215773261694922
     7227.631489485812381        1.259329957833831
     7230.041101562010226        1.305112563988990
     7232.451516976117091        1.322551081167983
     7234.862735995954608        1.313959038521000
     7237.274758889429904        1.285761875287269
     7239.687585924559244        1.269109466515931
     7242.101217369428014        1.249653014436291
     7244.515653492218007        1.226227510804632
     7246.930894561191053        1.205683441333210
     7249.346940844723576        1.176940415533599
     7251.763792611255667        1.164114134915983
     7254.181450129328368        1.168954267356106
     7256.599913667562760        1.165853808562591
     7259.019183494690878        1.168145502518226
     7261.439259879513884        1.171490222071701
     7263.860143090928432        1.180920219794165
     7266.281833397913942        1.189262801929605
     7268.704331069563523        1.187447131278633
     7271.127636375034854        1.165385023608790
     7273.551749583584751        1.126273021198573
     7275.976670964550067        1.098152757006212
     7278.402400787383158        1.083233535012946
     7280.828939321602775        1.067050159066099
     7283.256286836822255        1.057823780495867
     7285.684443602739520        1.071667768567741
     7288.113409889166178        1.080209809626568
     7290.543185965979319        1.067346235199314
     7292.973772103154261        1.061505361470639
     7295.405168570748174        1.061785114958076
     7297.837375638931007        1.063707269138145
     7300.270393577940922        1.078514593116707
     7302.704222658113395        1.079209094937398
     7305.138863149873032        1.065680258523539
     7307.574315323729934        1.049444397423400
     7310.010579450302430        1.068197013788226
     7312.447655800280700        1.101663164494336
     7314.885544644450420        1.128398339505187
     7317.324246253680030        1.155151945960727
     7319.763760898952569        1.174283761737572
     7322.204088851317465        1.182509519957877
     7324.645230381921465        1.188513332028057
     7327.087185761995897        1.192714482022023
     7329.529955262883050        1.186479125707572
     7331.973539155996150        1.166185407055216
     7334.417937712842104        1.160519164350578
     7336.863151205016038        1.148319387932572
     7339.309179904220400        1.125513230811249
     7341.756024082231306        1.111873231739217
     7344.203684010917641        1.100162399806550
     7346.652159962236510        1.099884758960422
     7349.101452208255068        1.111822559197630
     7351.551561021108682        1.110311527379557
     7354.002486673032763        1.077464268969814
     7356.454229436343667        1.025837899448764
     7358.906789583473255        1.012593363173293
     7361.360167386920693        1.029256417609145
     7363.814363119282461        1.014955358607400
     7366.269377053240532        0.996598945937950
     7368.725209461588747        0.984306781438877
     7371.181860617190978        0.965606728832144
     7373.639330793006593        0.978735354921709
     7376.097620262081364        1.018249133133910
     7378.556729297573838        1.054441586319414
     7381.016658172709867        1.077218876097587
     7383.477407160816256        1.082771424352689
     7385.938976535308029        1.077420472525138
     7388.401366569686616        1.058060478961289
     7390.864577537565310        1.042891469483345
     7393.328609712627440        1.036172124524770
     7395.793463368653647        0.996070933093516
     7398.259138779509158        0.958901219572290
     7400.725636219171975        0.948617662508282
     7403.192955961691951        0.929731370145171
     7405.661098281214436        0.909136816378512
     7408.130063451970273        0.897833714345322
     7410.599851748303990        0.904904861565984
     7413.070463444628331        0.928876282969281
     7415.541898815456079        0.953860148858887
     7418.014158135384605        0.990233444503134
     7420.487241679123144        1.006827632468988
     7422.961149721451875        1.018958361067682
     7425.435882537249199        1.031987051232105
     7427.911440401478103        1.037768289972504
     7430.387823589216168        1.064275072519551
     7432.865032375608280        1.073000154554312
     7435.343067035900276        1.050846943629712
     7437.821927845422579        1.044029908199425
     7440.301615079618387        1.035797090318340
     7442.782129014001839        1.014776416468577
     7445.263469924184392        0.987820254716714
     7447.745638085863902        0.991588367598988
     7450.228633774851914        0.990308550768545
     7452.712457267029095        0.966353814466875
     7455.197108838375243        0.954295539760671
     7457.682588764963839        0.942339363349157
     7460.168897322952034        0.929411543293861
     7462.656034788609759        0.938059564103788
     7465.144001438279702        0.940157496431001
     7467.632797548400958        0.917351820026909
     7470.122423395500846        0.892984870378192
     7472.612879256217639        0.900320560000346
     7475.104165407263281        0.930443942340126
     7477.596282125445214        0.944587803397070
     7480.089229687659099        0.920109183397450
     7482.583008370913376        0.888237231387878
     7485.077618452287425        0.878386604436743
     7487.573060208959760        0.884148781484229
     7490.069333918195298        0.898571978541575
     7492.566439857371734        0.909511941858802
     7495.064378303937701        0.898132933745108
     7497.563149535442790        0.856488517216756
     7500.062753829520261        0.848101089120664
     7502.563191463918884        0.862029549666763
     7505.064462716457456        0.871019247881128
     7507.566567865054822        0.889974283345819
     7510.069507187716226        0.898610179366263
     7512.573280962559693        0.896137147276146
     7515.077889467776004        0.916401493787695
     7517.583332981654166        0.958234713153807
     7520.089611782569591        0.983302624088323
     7522.596726149012284        1.019417009710879
     7525.104676359544101        1.062902456906426
     7527.613462692825124        1.081078903091744
     7530.123085427601836        1.086685781353324
     7532.633544842737138        1.120005996032568
     7535.144841217163048        1.118941876158169
     7537.656974829912542        1.104591023861326
     7540.169945960111363        1.102261102982729
     7542.683754886969837        1.093649353197560
     7545.198401889818342        1.100914896915410
     7547.713887248050924        1.100102882585318
     7550.230211241168945        1.074259441741103
     7552.747374148753806        1.061029799017112
     7555.265376250507870        1.074541413795564
     7557.784217826199892        1.072019887086462
     7560.303899155701401        1.060557054690611
     7562.824420518969418        1.082663382106821
     7565.345782196078289        1.083042068268681
     7567.867984467170572        1.031551078028202
     7570.391027612490689        0.995194157310136
     7572.914911912369462        0.999578264970037
     7575.439637647254131        0.962995256278628
     7577.965205097661965        0.757607823992065
     7580.491614544212098        0.686852132871993
     7583.018866267607336        0.630908111076411
     7585.546960548670540        0.601406495788368
     7588.075897668291873        0.571895044989412
     7590.605677907466088        0.588389685531094
     7593.136301547270705        0.618757239535468
     7595.667768868903295        0.671766928947938
     7598.200080153627823        0.648957619478897
     7600.733235682813756        0.682013104215165
     7603.267235737915144        0.718169510595565
     7605.802080600502450        0.695628256627982
     7608.337770552217989        0.668230212536611
     7610.874305874805032        0.636039872271319
     7613.411686850092337        0.591418270315863
     7615.949913760026902        0.574518618713738