SN 1981B Ia in NGC 4536 in the Virgo Cluster


Geoffrey Chaucer with an astrolabe.

OBJ:  SN 1981B Ia in NGC 4536 in the Virgo Cluster (SABb) which in
         Leda is
         Leda:  NGC 4536.
DISCOVERY:  1981mar02 UT by Tsvetskov (1981).
MAX:  1981mar08.5 (JD 2444672.0 +/- 0.2) in B according to {krisciunas2000}.
           {buta1983} gave B maximum as JD 2444672 which is the same to less precision.
           See the US Navy Observatory 
           Julian Date Converter.
           Sometimes USNO is unavailable:  try
           OnlineConversion.com:  Julian Converter
           which is a modified version of USNO.
           This day 67 of the year.
SUPERNOVA of the YEAR:  M = 2.
           Those were the good old days when there were only 10 to 20 SNe per year and we never
           ran out of the alphabet.

COMMENT:   This is a broad line SN Ia as David now calls it.  Once it was the fairest coriest normalist
           of them all, but now David says not so normal with casual disrespect.


         Spectrum               Date                  Phase relative to Bmax    Wavelength Range
         branch2003             1983mar06--09         -0.75                     3081.60--8390.37 (rest)

REF:

       \citet{branch1983}
        David's paper on 81B spectra.

       \citet{buta1983}
        Early photometry of 81B.

        CfA List of Supernovae.

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

       \citet{krisciunas2000} They
       give a new B maximum which is probably much better established than that of buta1983, but
       has in fact the same numerical value.

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)).

REP:  F_lambda (erg/cm2/s/A) vs. lambda (ang)  (iformat = 1)
COR:  not deredshifted (heliocentric velocity 1807 +/- 2 km/s from
         Leda:  NGC 4536
      not dereddened (Galactic foreground 0.08/4=.02 reddening from
         Leda:  NGC 4536
        but derived from
     Schlegel et al. (1998)
      not smoothed ????, not photometric ????
      Derived bolometric maximum is ??? (see above).
OBS: {branch1983}
     These spectra have been transformed so many times, it is hard to know what problems
     exist in them now.
     Not at the
     CfA Supernova Archive.

Note this is apparently, the 4-day mar06--mar09 spectrum of branch1983

Date: 1981 with 1981mar08.5 (JD 2444672.0) for B maximum gives:
      day = 2444671.25 - 2444672.0 = -0.75

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

       observer phase = -0.7500000000
       rest phase =     -0.7455064574


&specnamelist aname='sn1981B Ia 1981_03_07' ebv=.02 ! epoch=0.5367646494 ! This parameter needs to updated for the particular spectrum. idifmake=0 iformat=-1 ! All the branch1983 spectra have been deredshifted, but one has to check. ! The telluric line has been shifted by 47 A to the blue which is about right. ismooth=0 itick=2 itickln=4 t_rise=19.4d0 ! \citep{conley2006}, Just an average rise time. v_helio=1807 ymin2=.3d-6 ymax2=1.3d-5 ymin3=.38 ymax3=1.9 wlammin1=3081.60 wlammax1=8390.37 wlammin2=3081.60 wlammax2=8390.37 wlammin3=3400. ! This is as far as I'd like to trust to the blue. wlammax3=8390.37 ! Might be good the the end. /
./figure/sn1981b_1981_03_07.gif Postscript plot of the spectrum.
./figure/sn1981b_1981_03_07.dif.gif Postscript plot of the spectrum with local normalization.
Information from somewhere: I believe this is the mar06--mar09 average spectrum that Branch et al (1983) created. The upper and lower wavelengths correspond to no single spectrum in mar06--mar09. In which case, one would call it mar07.75 or JD 2444671.25 which is day -0.75 from B max. OBJ: SN Ia 1981B in NGC 4536, a normal Ia. DATE: March 7 1981: This is 16 days after the explosion assuming the rise time to the B maximum was 18 days. OBS: ? REP: F_lambda (???) vs. lambda (ang) COR: dereshifted ????(heliocentric velocity 1804 from Asiago which is the same as for 92A which is in a different galaxy), not derreddened (foreground Galactic E(B-V)=0. according to Leibungut et al. 1991, A&AS, 89, 537, but David Branch tells me that E(B-V) has been estimated as high as 0.1) not smoothed????? COMMENT: 1781 points. REF: Branch et al. 1983, ApJ, 270, 123. SN1981B MARCH 7 NSMU=0 BLUE=1809 This has been redshift corrected with ~1866 (Tully 1988); not extinction corrected and none is needed. DAY: 16. END: 3081.997896391702852 0.452572490053740 3083.025400264966265 0.490077390304023 3084.053246696609676 0.527594794271524 3085.081435800836971 0.547343030406125 3086.109967691896145 0.526160604750914 3087.138842484066117 0.504971117110216 3088.168060291666734 0.483074965913793 3089.197621229054675 0.458568223964547 3090.227525410622547 0.434053311739761 3091.257772950811159 0.418910128457431 3092.288363964088603 0.470035276674652 3093.319298564964811 0.521177469448526 3094.350576867986092 0.570223109678711 3095.382198987743777 0.578288012638048 3096.414165038860119 0.586355604346472 3097.446475135998298 0.594425885700384 3098.479129393856056 0.589784522183289 3099.512127927178881 0.584714851275834 3100.545470850741367 0.579643490196396 3101.579158279359490 0.603874447304643 3102.613190327883785 0.631766044218463 3103.647567111213448 0.659666939881048 3104.682288744275866 0.672769147233654 3105.717355342040719 0.682491498067872 3106.752767019511339 0.692217090225857 3107.788523891740169 0.716670486854860 3108.824626073808304 0.746253803167556 3109.861073680838217 0.775846982229394 3110.897866827987400 0.819781947987224 3111.935005630461546 0.870393432258940 3112.972490203494999 0.921021789837472 3114.010320662363483 0.971414441802867 3115.048497122379558 1.021660540767386 3116.087019698900804 1.071923391223430 3117.125888507317086 1.108984712094856 3118.165103663057380 1.135006611871731 3119.204665281589769 1.161037187061009 3120.244573478418715 1.153033091503116 3121.284828369095521 1.108895489576835 3122.325430069200593 1.064743172664230 3123.366378694357081 1.041471864368521 3124.407674360221790 1.047151912731042 3125.449317182501545 1.052833854758630 3126.491307276931366 1.055610962615072 3127.533644759286744 1.053136896790605 3128.576329745380463 1.050662006140074 3129.619362351073050 1.060030589994991 3130.662742692253232 1.097501086125079 3131.706470884852934 1.134984074502486 3132.750547044837731 1.167613173554818 3133.794971288223678 1.185613851731365 3134.839743731054114 1.203620531134121 3135.884864489414213 1.222339089836155 3136.930333679426440 1.243960020755945 3137.976151417259643 1.265588159854064 3139.022317819113141 1.288058333873489 3140.068833001227176 1.315436642698530 3141.115697079878828 1.342824079147631 3142.162910171391559 1.369373391252289 3143.210472392120209 1.388154557404985 3144.258383858459638 1.406941984989903 3145.306644686841992 1.426974420064054 3146.355254993746712 1.468706089643556 3147.404214895683253 1.510451672098278 3148.453524509201998 1.551664353037658 3149.503183950891071 1.550998249403394 3150.553193337384073 1.550331923697574 3151.603552785346437 1.549665375846162 3152.654262411484524 1.590695579062138 3153.705322332543801 1.632402762694486 3154.756732665305663 1.674123851038577 3155.808493526600159 1.730615364150943 3156.860605033285538 1.788070498736159 3157.913067302264153 1.845544788225240 3158.965880450472014 1.839292457108156 3160.019044594895604 1.826571635998702 3161.072559852549603 1.813846573908755 3162.126426340490980 1.802748267351677 3163.180644175813541 1.791870697272037 3164.235213475658384 1.780989500731295 3165.290134357196621 1.776860317794613 3166.345406937642110 1.773980816321847 3167.401031334244180 1.771100354855274 3168.457007664300363 1.702102187877155 3169.513336045138658 1.618665737399946 3170.570016594128447 1.535201470136722 3171.627049428675946 1.508305408086257 3172.684434666235120 1.496279235854312 3173.742172424290402 1.484249054230093 3174.800262820368516 1.457936712503890 3175.858705972030748 1.427247017429559 3176.917501996889314 1.396547090751595 3177.976651012584625 1.424838980605084 3179.036153136800749 1.474608785137659 3180.096008487254949 1.524395182370166 3181.156217181717238 1.524725008938407 3182.216779337984917 1.505160611149442 3183.277695073897576 1.485589690807524 3184.338964507335277 1.462589350527045 3185.400587756213554 1.438087922982328 3186.462564938497053 1.413578326933679 3187.524896172179979 1.424936296990835 3188.587581575298827 1.453003573734785 3189.650621265926929 1.481080207797035 3190.714015362186274 1.506090297515543 3191.777763982228407 1.529603135869326 3192.841867244247624 1.553123813142307 3193.906325266473686 1.529304920432460 3194.971138167187746 1.481463212983113 3196.036306064697783 1.433605555639802 3197.101829077356342 1.401239230842983 3198.167707323551440 1.376569952073289 3199.233940921720205 1.351892448839938 3200.300529990330688 1.323214668258373 3201.367474647891868 1.292440601906713 3202.434775012950922 1.261656275823150 3203.502431204101867 1.245832644089415 3204.570443339971007 1.237790393648605 3205.638811539226026 1.229745462010806 3206.707535920571445 1.226955766258539 3207.776616602760441 1.226964034518046 3208.846053704576661 1.226972305534098 3209.915847344846952 1.228231321943017 3210.985997642433631 1.230135876208697 3212.056504716249037 1.232041065431626 3213.127368685234615 1.218129499008284 3214.198589668375462 1.196082508064867 3215.270167784693058 1.174028166899566 3216.342103153258449 1.163885576097945 3217.414395893171786 1.159764443240278 3218.487046123576420 1.155641936442684 3219.560053963656628 1.129006448583427 3220.633419532631706 1.091323730570901 3221.707142949770969 1.053628449558543 3222.781224334373746 1.034265183392124 3223.855663805782569 1.023499751629900 3224.930461483376803 1.012730730792304 3226.005617486584015 1.000990642221700 3227.081131934863151 0.988818903719709 3228.157004947715905 0.976643107295266 3229.233236644680346 0.959001399558052 3230.309827145344570 0.939113217376360 3231.386776569325775 0.919218404695594 3232.464085036285724 0.930367338151376 3233.541752665922104 0.953687051431186 3234.619779577981717 0.977014539244503 3235.698165892242741 0.966788521346664 3236.776911728525192 0.944196954424265 3237.856017206686829 0.921597855724400 3238.935482446634524 0.913394434778905 3240.015307568306525 0.909852349571319 3241.095492691682011 0.906309083471862 3242.176037936779267 0.913136576615485 3243.256943423665234 0.923000730688717 3244.338209272436870 0.932868173361373 3245.419835603235242 0.946706923698949 3246.501822536237341 0.961574161349245 3247.584170191671546 0.976446355571529 3248.666878689793975 0.971485221950060 3249.749948150906675 0.962674813937053 3250.833378695346255 0.953861468631887 3251.917170443502073 0.927060344317698 3253.001323515791228 0.897435599425771 3254.085838032674474 0.867800977972899 3255.170714114654857 0.861371712010943 3256.255951882269983 0.857671467709726 3257.341551456108846 0.853969989788138 3258.427512956789542 0.851114558891726 3259.513836504975643 0.848324170338798 3260.600522221365736 0.845532851501323 3261.687570226709340 0.858601790919862 3262.774980641785987 0.872273016989111 3263.862753587419775 0.885926254906883 3264.950889184470725 0.890697096968488 3266.039387553849338 0.895469529575871 3267.128248816496125 0.900198669230443 3268.217473093396620 0.903961020829951 3269.307060505571826 0.907724626755689 3270.397011174093677 0.909857754442779 3271.487325220065031 0.893177055148110 3272.578002764631037 0.876490794693540 3273.669043928975043 0.862134929450180 3274.760448834330873 0.863773302223762 3275.852217601961911 0.865412221212633 3276.944350353176560 0.865490883963287 3278.036847209318694 0.858357194494598 3279.129708291783572 0.851221126733040 3280.222933721997833 0.844424304039479 3281.316523621429951 0.838821331839463 3282.410478111587054 0.833216491670752 3283.504797314026291 0.827994842963681 3284.599481350335282 0.823816125686969 3285.694530342145299 0.819636015272322 3286.789944411128999 0.816825717973418 3287.885723678995419 0.816817186394980 3288.981868267504524 0.816808651972209 3290.078378298446751 0.822526235936538 3291.175253893656645 0.837530048657783 3292.272495175006043 0.852538863483530 3293.370102264416801 0.872216765875879 3294.468075283842609 0.897902146908689 3295.566414355280358 0.923596091162306 3296.665119600763774 0.940283225317110 3297.764191142378422 0.947817479939149 3298.863629102240338 0.955354246398014 3299.963433602508303 0.966864203489860 3301.063604765380205 0.981527264629786 3302.164142713103956 0.996195214271511 3303.265047567958391 0.987206139122498 3304.366319452265543 0.963845341872764 3305.467958488386103 0.940476756392717 3306.569964798730780 0.932804256239353 3307.672338505742118 0.932503223475615 3308.775079731904952 0.932202090350897 3309.878188599743680 0.942013988053783 3310.981665231832267 0.955187367456097 3312.085509750776509 0.968365138716821 3313.189722279224497 0.961823378883942 3314.294302939864338 0.951061238789186 3315.399251855433249 0.940295510716405 3316.504569148700284 0.939420473694322 3317.610254942478605 0.939758989889478 3318.716309359618208 0.940097618942173 3319.822732523021841 0.955749533876699 3320.929524555620901 0.971887758583226 3322.036685580393168 0.986940874924911 3323.144215720355533 0.977220009740990 3324.252115098564445 0.967495903728593 3325.360383838126381 0.959970063816832 3326.469022062178738 0.968958632926592 3327.578029893903476 0.977950198725475 3328.687407456520759 0.984292335373844 3329.797154873301224 0.980346065901751 3330.907272267546432 0.976398480787241 3332.017759762603418 0.972900704577233 3333.128617481856054 0.970527576636982 3334.239845548739140 0.968153657522223 3335.351444086720221 0.964773987921122 3336.463413219309587 0.959682482502863 3337.575753070055725 0.954589279633255 3338.688463762558968 0.960629074871223 3339.801545420450566 0.979907518295659 3340.914998167406338 0.999192388939050 3342.028822127139392 1.000454288166025 3343.143017423415586 0.986756711775826 3344.257584180030335 0.973054568765772 3345.372522520824532 0.961874263675809 3346.487832569676812 0.952173852240115 3347.603514450517196 0.942470206794943 3348.719568287307084 0.948394117831768 3349.835994204052440 0.960239466040664 3350.952792324797429 0.972088763357077 3352.069962773637144 0.986084159972038 3353.187505674698514 1.000543576995824 3354.305421152152576 1.015007814628672 3355.423709330209022 1.017374095352115 3356.542370333129384 1.018622636014876 3357.661404285205208 1.019883380034747 3358.780811310773970 1.021749198633250 3359.900591534213618 1.023615639274953 3361.020745079941662 1.026097845892864 3362.141272072426091 1.033237508966029 3363.262172636166270 1.040379552323576 3364.383446895707038 1.048069385086734 3365.505094975630527 1.057729085229498 3366.627117000571616 1.067392005809050 3367.749513095195653 1.075633269913816 3368.872283384213915 1.080973124516555 3369.995427992374516 1.086314759367504 3371.118947044478773 1.086180166494333 3372.242840665358017 1.078933613755435 3373.367108979889963 1.071684645096325 3374.491752112989161 1.068818941781901 3375.616770189623821 1.069630450783321 3376.742163334791712 1.070442230332831 3377.867931673536987 1.066132937507527 3378.994075330941087 1.059129673108259 3380.120594432138205 1.052124073898389 3381.247489102293912 1.050829581641095 3382.374759466618343 1.051243720116569 3383.502405650360743 1.051657996661210 3384.630427778822195 1.053253027026038 3385.758825977333800 1.054986035913517 3386.887600371274857 1.056621018522252 3388.016751086060140 1.043706053047100 3389.146278247157625 1.030786781865844 3390.276181980067577 1.018827511507282 3391.406462410334825 1.013355662760450 3392.537119663545582 1.007881989760012 3393.668153865325166 1.008453897803886 3394.799565141351195 1.026721191692329 3395.931353617332206 1.044994575693694 3397.063519419022668 1.061472946290736 3398.196062672215248 1.074942137844927 3399.328983502755364 1.088415819878053 3400.462282036519355 1.029207903129048 3401.595958399429037 0.898701247609474 3402.730012717445334 0.768151082620606 3403.864445116581464 0.713758101186716 3404.999255722881117 0.704156582577448 3406.134444662435271 0.694551862928497 3407.270012061372199 0.696945554000016 3408.405958045872922 0.703186746160495 3409.542282742149837 0.709430019065129 3410.678986276462183 0.718562053508313 3411.816068775106487 0.728062649612443 3412.953530364431572 0.737439085945456 3414.091371170819457 0.740788950337411 3415.229591320696727 0.744139931536954 3416.368190940528166 0.747832025949432 3417.507170156832672 0.753358463561875 3418.646529096159156 0.758886743627246 3419.786267885103825 0.766078810990492 3420.926386650300628 0.777245612078353 3422.066885518435811 0.788416136053720 3423.207764616228815 0.802315113967404 3424.349024070443647 0.819740264428684 3425.490664007883424 0.837171224241569 3426.632684555403557 0.840820563577933 3427.775085839892654 0.834495007196722 3428.917867988283433 0.828167341945260 3430.061031127552269 0.831412156075122 3431.204575384713280 0.838255428739493 3432.348500886834245 0.845100982874997 3433.492807761014319 0.849560309999383 3434.637496134398589 0.853656523852660 3435.782566134171702 0.858012249400611 3436.928017887570149 0.875214629423115 3438.073851521862707 0.892422744528083 3439.220067164364991 0.906884471111977 3440.366664942430361 0.908331453899085 3441.513644983465383 0.909778919094190 3442.661007414908454 0.906586014194261 3443.808752364245265 0.893677547786329 3444.956879958999252 0.880764777839081 3446.105390326746601 0.876025559594814 3447.254283595096240 0.880021081626298 3448.403559891703480 0.884017935720459 3449.553219344262288 0.894217533927746 3450.703262080518471 0.907943867738273 3451.853688228251940 0.921674777756063 3453.004497915288084 0.937076316134483 3454.155691269490035 0.952913650265692 3455.307268418776403 0.968756264388284 3456.459229491095812 0.980502337241840 3457.611574614444180 0.992094256183675 3458.764303916856989 1.002283050821827 3459.917417526421559 1.002639636977138 3461.070915571257956 1.002996342014314 3462.224798179533082 1.004755572197899 3463.379065479456131 1.009947522431316 3464.533717599275406 1.015141203603269 3465.688754667292415 1.024578128831409 3466.844176811841407 1.039043726107688 3467.999984161302564 1.053514146053460 3469.156176844095171 1.070160558709850 3470.312754988692632 1.088098637675095 3471.469718723599726 1.106042696996665 3472.627068177367619 1.114196199940799 3473.784803478587946 1.119918175655692 3474.942924755904642 1.125642059013763 3476.101432137993925 1.130695862866978 3477.260325753579764 1.135735265530100 3478.419605731423871 1.140964385154441 3479.579272200342530 1.147221252696003 3480.739325289183398 1.153480206207719 3481.899765126842340 1.160774237335293 3483.060591842252506 1.170113893298942 3484.221805564402530 1.179456663000203 3485.383406422312419 1.195107093230803 3486.545394545048566 1.216801438987528 3487.707770061717383 1.238503017398145 3488.870533101479396 1.259811030642469 3490.033683793526507 1.280951915614339 3491.197222267097004 1.302099848722479 3492.361148651470103 1.312769009907033 3493.525463075978223 1.322091051913277 3494.690165669986072 1.331087504781175 3495.855256562904287 1.336168449853439 3497.020735884184887 1.341251088856354 3498.186603763331732 1.344613066247773 3499.352860329882787 1.343147612535643 3500.519505713421950 1.341681670257520 3501.686540043576315 1.339236872463835 3502.853963450012998 1.335641186407624 3504.021776062453227 1.332044301589600 3505.189978010649611 1.325654159713785 3506.358569424402504 1.317761627107122 3507.527550433552278 1.309866463217756 3508.696921167992514 1.318833748500974 3509.866681757649985 1.330922866830903 3511.036832332497852 1.343651903505839 3512.207373022549291 1.368846078325606 3513.378303957871594 1.394048652603557 3514.549625268564341 1.416953537592575 3515.721337084775314 1.432843364731319 3516.893439536689584 1.448738489361915 3518.065932754549522 1.458472311659494 3519.238816868627509 1.460625881033086 3520.412092009244589 1.462780168382793 3521.585758306760454 1.464974901377378 3522.759815891590279 1.467191535333963 3523.934264894180615 1.469408908291692 3525.109105445026671 1.469059093031939 3526.284337674662311 1.468287265080077 3527.459961713675511 1.468110583861302 3528.635977692688357 1.476094990471117 3529.812385742369315 1.484082058993430 3530.989185993425963 1.492510690466968 3532.166378576622265 1.502072623711227 3533.343963622752653 1.511637744797840 3534.521941262660675 1.514790301285042 3535.700311627228530 1.511370569515627 3536.879074847393895 1.507949697645606 3538.058231054127191 1.499678354068329 3539.237780378445223 1.489431276422593 3540.417722951408905 1.479180782514965 3541.598058904119625 1.476515747112064 3542.778788367732886 1.474493641793510 3543.959911473437842 1.472477191151210 3545.141428352470029 1.470497746183538 3546.323339136104551 1.468517641290903 3547.505643955673804 1.469414563695527 3548.688342942540203 1.475245568554155 3549.871436228114817 1.481078517405050 3551.054923943849190 1.483119920669031 3552.238806221248979 1.482494115746319 3553.423083191853038 1.481868102187196 3554.607754987247972 1.471271545961333 3555.792821739060400 1.458435917926551 3556.978283578971059 1.446028528960781 3558.164140638694789 1.441984502509827 3559.350393049993272 1.437939127825362 3560.537040944668661 1.433961477605875 3561.724084454578588 1.430164116318955 3562.911523711612062 1.426365489033953 3564.099358847707663 1.422655223128457 3565.287589994843074 1.419031750027480 3566.476217285051462 1.415407068900799 3567.665240850398732 1.410039400021724 3568.854660822998994 1.404072026539713 3570.044477335005467 1.398102663601672 3571.234690518628668 1.389931535515669 3572.425300506109124 1.381709462010922 3573.616307429738299 1.373990863028986 3574.807711421849490 1.368116368696113 3575.999512614817831 1.362239915872081 3577.191711141072119 1.363345537014230 3578.384307133076163 1.372562068819009 3579.577300723340159 1.381781673313141 3580.770692044415682 1.388157053500878 3581.964481228908426 1.393339621307079 3583.158668409458187 1.398523916923834 3584.353253718752967 1.387787132470017 3585.548237289520330 1.376184740218087 3586.743619254543773 1.365515586047587 3587.939399746639538 1.358702035677773 3589.135578898672065 1.351886213745930 3590.332156843546727 1.347677646266974 3591.529133714224372 1.346726870258854 3592.726509643698137 1.345775777272572 3593.924284765009816 1.349265717478782 3595.122459211242131 1.354692522623219 3596.321033115532828 1.360121137004244 3597.520006611053304 1.361204816211726 3598.719379831022707 1.362103712099254 3599.919152908700653 1.362193023012358 3601.119325977403150 1.359341830176653 3602.319899170478948 1.356489686784918 3603.520872621324997 1.352613245183712 3604.722246463379179 1.347605614716398 3605.924020830134850 1.342596314760681 3607.126195855118567 1.346905342784484 3608.328771671905997 1.354540024071468 3609.531748414111917 1.362177250676382 3610.735126215408854 1.369997013387565 3611.938905209501172 1.377820626251085 3613.143085530141889 1.386060867612024 3614.347667311129953 1.395482621077929 3615.552650686302513 1.404907515651776 3616.758035789554924 1.412857278859641 3617.963822754815283 1.419494755096252 3619.170011716059889 1.426134444193732 3620.376602807305062 1.424743695426022 3621.583596162625327 1.421357470244614 3622.790991916126586 1.417933852359022 3623.998790201963857 1.414064014923294 3625.206991154333082 1.410192887326751 3626.415594907487048 1.401605888676370 3627.624601595710374 1.384339257673928 3628.834011353338155 1.367066870168447 3630.043824314744597 1.350117853160112 3631.254040614361202 1.333362342134548 3632.464660386653122 1.316601245007672 3633.675683766132806 1.303818418115695 3634.887110887355448 1.291450839168369 3636.098941884930809 1.281993610484821 3637.311176893503671 1.285049764571512 3638.523816047766559 1.288106937546038 3639.736859482453838 1.280733511568419 3640.950307332354896 1.261462278063589 3642.164159732293683 1.242184619743517 3643.378416817143261 1.223497261747905 3644.593078721816710 1.204995955367646 3645.808145581283952 1.186509016577529 3647.023617530549473 1.168424649418429 3648.239494704664594 1.150334253132152 3649.455777238723840 1.133469029238729 3650.672465267876760 1.119058226191369 3651.889558927307462 1.104642618742304 3653.107058352248714 1.091237495107879 3654.324963677977394 1.078424311612364 3655.543275039813579 1.065606856343796 3656.761992573132375 1.048035749674989 3657.981116413342988 1.030049213146969 3659.200646695903288 1.011013863117298 3660.420583556313431 0.988314846010967 3661.640927130129512 0.965608261304330 3662.861677552940819 0.946133788829002 3664.082834960387117 0.929675006879609 3665.304399488148192 0.913210737755141 3666.526371271961125 0.893324022533514 3667.748750447597104 0.872698399537681 3668.971537150875520 0.852559663821718 3670.194731517658511 0.835905901838856 3671.418333683863239 0.819246587676641 3672.642343785441881 0.805870159305871 3673.866761958396637 0.796763316489460 3675.091588338768815 0.787653437552818 3676.316823062658386 0.781456801991384 3677.542466266198971 0.776282431897734 3678.768518085572850 0.770783986299571 3679.994978657004140 0.759836154746827 3681.221848116774254 0.748884673308583 3682.449126601197804 0.737466174504115 3683.676814246639424 0.725240777877956 3684.904911189504674 0.713011305440363 3686.133417566256412 0.701006355523533 3687.362333513391604 0.689105809081050 3688.591659167456783 0.677197569655397 3689.821394665043499 0.662527854695445 3691.051540142784688 0.647853249015483 3692.282095737371947 0.633307264284752 3693.513061585528703 0.619042030903289 3694.744437824029774 0.604772041651427 3695.976224589689991 0.596840241143017 3697.208422019383306 0.592376762309103 3698.441030250016411 0.587911795400911 3699.674049418545110 0.575089716338833 3700.907479661968409 0.561990572221396 3702.141321117341249 0.548935381468318 3703.375573921754039 0.535992561721914 3704.610238212344939 0.523045426983142 3705.845314126296216 0.515970015509779 3707.080801800845165 0.512500252765410 3708.316701373265005 0.509029333240674 3709.553012980877611 0.505160931645294 3710.789736761047152 0.501276851551035 3712.026872851195094 0.497068465523415 3713.264421388777009 0.492061671249087 3714.502382511298947 0.487053207765146 3715.740756356307429 0.482637615725203 3716.979543061407639 0.478557211237328 3718.218742764238868 0.474475446387909 3719.458355602489519 0.469161020193872 3720.698381713891195 0.463812960844973 3721.938821236231433 0.459445310683900 3723.179674307333698 0.457228174504824 3724.420941065070110 0.455010299157167 3725.662621647355536 0.449679383173557 3726.904716192162141 0.442760696582793 3728.147224837496651 0.435867023339731 3729.390147721415815 0.433643704546079 3730.633484982021400 0.431419644522632 3731.877236757458832 0.430403854923469 3733.121403185930376 0.431618580600049 3734.365984405672407 0.432833711252681 3735.610980554972684 0.431852360905107 3736.856391772159441 0.429962641307076 3738.102218195619571 0.427972842257794 3739.348459963774076 0.424365701498902 3740.595117215095343 0.420757358159336 3741.842190088095776 0.418003269065591 3743.089678721347354 0.416476068403865 3744.337583253456160 0.414948358590398 3745.585903823078297 0.415906036897744 3746.834640568911254 0.417591118392560 3748.083793629712545 0.419608296488550 3749.333363144272425 0.423823756375053 3750.583349251432082 0.428040621649069 3751.833752090074995 0.432186849808442 3753.084571799142395 0.436259704516606 3754.335808517610531 0.440333917069300 3755.587462384505670 0.443813544153933 3756.839533538896831 0.447197953988124 3758.092022119910325 0.450386367492444 3759.344928266707939 0.452897292082578 3760.598252118501932 0.455409053787088 3761.851993814545494 0.455032347162603 3763.106153494152295 0.452727059804025 3764.360731296668291 0.450421003888243 3765.615727361492191 0.451242912063238 3766.871141828063173 0.452166187844418 3768.126974835879992 0.454025457304929 3769.383226524475504 0.457702337637591 3770.639897033433954 0.461380443801327 3771.896986502384152 0.466553732888541 3773.154495070999928 0.472305616404607 3774.412422879011956 0.478317927641256 3775.670770066185469 0.486730793041682 3776.929536772337542 0.495146463198009 3778.188723137327088 0.502734896547044 3779.448329301071681 0.509438605656329 3780.708355403523001 0.516144549707785 3781.968801584684570 0.524451788131428 3783.229667984601747 0.533013964435801 3784.490954743379007 0.541916455408554 3785.752662001154931 0.551810933438145 3787.014789898119034 0.561708710176830 3788.277338574504938 0.568760837779599 3789.540308170602202 0.574208428440990 3790.803698826738128 0.579871343210434 3792.067510683288674 0.591497420655567 3793.331743880673912 0.603127374105780 3794.596398559371664 0.614024839573692 3795.861474859895679 0.623925858445633 3797.126972922809273 0.633830178207313 3798.392892888720326 0.644861401031034 3799.659234898293562 0.656136668516159 3800.925999092230086 0.667081754329871 3802.193185611281933 0.676884937941794 3803.460794596243431 0.686691389826240 3804.728826187967115 0.691989468776177 3805.997280527342355 0.694547614811536 3807.266157755308086 0.697498477605107 3808.535458012850995 0.713814519588036 3809.805181441000514 0.730136001158125 3811.075328180844281 0.745655011959872 3812.345898373506316 0.760138905196108 3813.616892160161115 0.774627627201507 3814.888309682026375 0.789073652530298 3816.160151080378000 0.803515455111555 3817.432416496528276 0.817444349734755 3818.705106071839509 0.829852152614036 3819.978219947718571 0.842264092116976 3821.251758265629633 0.856156561174388 3822.525721167073243 0.870784996216299 3823.800108793601339 0.885921279100354 3825.074921286807694 0.906382742704071 3826.350158788347017 0.926851027932602 3827.625821439907668 0.943351135611805 3828.901909383230304 0.955978807939945 3830.178422760098329 0.968610690193770 3831.455361712354261 0.985260575104620 3832.732726381877001 1.002226206914028 3834.010516910595015 1.019562096064878 3835.288733440482247 1.037596979354122 3836.567376113569480 1.055637875273227 3837.846445071924791 1.073895551551083 3839.125940457666729 1.092221858154188 3840.405862412957504 1.110719754949417 3841.686211080018893 1.129855208963394 3842.966986601107692 1.148997042525241 3844.248189118532537 1.166219318187715 3845.529818774644809 1.182357082587531 3846.811875711855919 1.198875577858264 3848.094360072612744 1.220263589499761 3849.377271999413551 1.241658731666828 3850.660611634803900 1.266081560705792 3851.944379121373458 1.293451038121824 3853.228574601771015 1.320829640217779 3854.513198218680827 1.339782304259996 3855.798250114838538 1.358244518300906 3857.083730433024357 1.375032697160079 3858.369639316077155 1.389131208804008 3859.655976906871274 1.403234420735153 3860.942743348333806 1.427771023471284 3862.229938783434136 1.454514875522201 3863.517563355202583 1.480479237284172 3864.805617206704028 1.504400840721006 3866.094100481055648 1.528330419354775 3867.383013321418730 1.543496472729768 3868.672355871013679 1.555320562023654 3869.962128273095914 1.566582212158947 3871.252330670974516 1.575124437399667 3872.542963208001311 1.583669510523398 3873.834026027587242 1.600848140266195 3875.125519273180089 1.623091964110236 3876.417443088279015 1.644084961400268 3877.709797616427295 1.651209139500292 3879.002583001227322 1.658335692722200 3880.295799386318777 1.661533518708567 3881.589446915391818 1.661459573349529 3882.883525732181170 1.661412021874646 3884.178035980481582 1.671037875281861 3885.472977804122820 1.680666937841704 3886.768351346988311 1.691538291511720 3888.064156753007865 1.703813052578122 3889.360394166155857 1.716091905913515 3890.657063730466689 1.727878834133402 3891.954165590010689 1.739637237520863 3893.251699888910480 1.745329011596862 3894.549666771332795 1.741991990672977 3895.848066381503486 1.738653857223365 3897.146898863686147 1.731320562862466 3898.446164362194395 1.723415743778536 3899.745863021387777 1.717982315952244 3901.045994985684956 1.717128206874956 3902.346560399540977 1.716273813047186 3903.647559407463632 1.709229112926662 3904.948992154003918 1.700898091327289 3906.250858783773310 1.697348864326803 3907.553159441420121 1.704556292890909 3908.855894271644502 1.711766124331662 3910.159063419190261 1.711569220171540 3911.462667028862143 1.709305960232899 3912.766705245500816 1.705224019520632 3914.071178214000156 1.696311084413190 3915.376086079296783 1.687395177832190 3916.681428986388710 1.673512036899159 3917.987207080310327 1.657985300585943 3919.293420506147868 1.642062313531523 3920.600069409032130 1.624945246093054 3921.907153934154394 1.607822472014333 3923.214674226741863 1.589906109242834 3924.522630432075402 1.571703666705610 3925.831022695479078 1.556709086598927 3927.139851162337436 1.552468482250242 3928.449115978072314 1.548226464131158 3929.758817288157388 1.541537180283994 3931.068955238115450 1.533950296211032 3932.379529973512490 1.525470744724150 3933.690541639976800 1.513982759087520 3935.001990383171687 1.502490943484055 3936.313876348814574 1.488885515079550 3937.626199682665629 1.474513555677623 3938.938960530546865 1.462794024600710 3940.252159038316677 1.459352571121171 3941.565795351886209 1.455909970299259 3942.879869617210261 1.460228343481584 3944.194381980306389 1.467091274039425 3945.509332587226254 1.468639061963749 3946.824721584076542 1.455484132163111 3948.140549117006685 1.442324816655007 3949.456815332227961 1.423409264756067 3950.773520375988937 1.402865466595165 3952.090664394589112 1.384139307848635 3953.408247534374368 1.369735211778837 3954.726269941750616 1.355326313543323 3956.044731763161053 1.342455326538002 3957.363633145101630 1.329930025464349 3958.682974234111953 1.323071893453681 3960.002755176794835 1.327435233143901 3961.322976119787654 1.331800027523117 3962.643637209781900 1.324729392132185 3963.964738593513630 1.315768949331257 3965.286280417779835 1.309276283815236 3966.608262829414798 1.306761442871502 3967.930685975305096 1.304245763507725 3969.253550002383236 1.290419775872365 3970.576855057641296 1.275570106005854 3971.900601288109556 1.263738146520778 3973.224788840871042 1.255655684089261 3974.549417863057442 1.247570527054526 3975.874488501846372 1.245557251387691 3977.200000904475019 1.243639180759544 3978.525955218219224 1.242478030744065 3979.852351590406670 1.242023535983837 3981.179190168411424 1.241043832999011 3982.506471099667124 1.231788728724855 3983.834194531646517 1.222530538901708 3985.162360611873282 1.221910394215760 3986.490969487918392 1.226954664163572 3987.820021307412389 1.232086683712350 3989.149516218024473 1.237706390838594 3990.479454367475228 1.243327971512785 3991.809835903532530 1.241440761551994 3993.140660974023831 1.236316472920548 3994.471929726815233 1.233160615276470 3995.803642309824681 1.235937170893963 3997.135798871016959 1.238714652184258 3998.468399558417332 1.247985796209000 3999.801444520088353 1.258866134631705 4001.134933904146237 1.265420544196685 4002.468867858752674 1.264147831596503 4003.803246532129833 1.262874694688070 4005.138070072538994 1.268082950898887 4006.473338628293277 1.273914440553184 4007.809052347751731 1.279029028163102 4009.145211379335251 1.283361411215161 4010.481815871502022 1.287591369777189 4011.818865972763888 1.289246423349023 4013.156361831681352 1.290902028697338 4014.494303596861300 1.294327678623127 4015.832691416972011 1.298892722726400 4017.171525440719506 1.304087804959099 4018.510805816862558 1.312141072486600 4019.850532694206322 1.320197024884039 4021.190706221617802 1.332119557050540 4022.531326548000379 1.345306025787681 4023.872393822312461 1.359765863205351 4025.213908193557472 1.376809156054740 4026.555869810800232 1.393858130948749 4027.898278823143755 1.403510546937212 4029.241135379744719 1.412411716423081 4030.584439629805274 1.421909735763894 4031.928191722589418 1.432036251890963 4033.272391807399345 1.441881365915955 4034.617040033590001 1.447870042054811 4035.962136550562718 1.453860714751770 4037.307681507781581 1.457448786603409 4038.653675054746600 1.459755814358271 4040.000117341013265 1.464126575312338 4041.347008516181631 1.474852112609339 4042.694348729914964 1.485581225681402 4044.042138131913362 1.491307128141634 4045.390376871931494 1.496080921632940 4046.739065099769050 1.501858037802968 4048.088202965288929 1.508929283250809 4049.437790618390864 1.516073259168377 4050.787828209029612 1.525137187694178 4052.138315887204499 1.534204138033065 4053.489253802978510 1.539873566895110 4054.840642106451469 1.543598370167555 4056.192480947778222 1.548063184575483 4057.544770477161819 1.554888422417432 4058.897510844853969 1.561715935717865 4060.250702201166405 1.564093562153247 4061.604344696449971 1.565642359150325 4062.958438481109170 1.569918048586202 4064.312983705594888 1.577638938351370 4065.667980520420770 1.585296889555410 4067.023429076137290 1.591716686660120 4068.379329523350407 1.598138624053894 4069.735682012711095 1.602247589670158 4071.092486694933541 1.605205533041404 4072.449743720770130 1.608890050488714 4073.807453241026906 1.614377621419697 4075.165615406555844 1.619867021845871 4076.524230368273038 1.622014760047235 4077.883298277130962 1.623796074512410 4079.242819284137113 1.625927650029904 4080.602793540345829 1.628377275751425 4081.963221196873292 1.629348030664417 4083.324102404873884 1.621890486576688 4084.685437315556555 1.614430456226577 4086.047226080177097 1.606535513784098 4087.409468850052690 1.598513325959290 4088.772165776540987 1.595191761124671 4090.135317011051484 1.598568876714335 4091.498922705041423 1.601777919377635 4092.862983010031712 1.601240335373599 4094.227498077579185 1.600702572145026 4095.592468059297971 1.591439976128838 4096.957893106846313 1.577987737295675 4098.323773371947027 1.565969698736313 4099.690109006359307 1.557040179371957 4101.056900161899648 1.548107683005002 4102.424146990432746 1.545181357118774 4103.791849643871501 1.542496944127416 4105.160008274190659 1.539521327696150 4106.528623033404074 1.536356429898941 4107.897694073580169 1.532106817315760 4109.267221546832843 1.524790727967463 4110.637205605340569 1.517472199516201 4112.007646401320017 1.507097890167359 4113.378544087042428 1.496419509597111 4114.749898814825428 1.485847154070332 4116.121710737049398 1.475356911816407 4117.493980006134734 1.466025760862971 4118.866706774555496 1.460957179496621 4120.239891194832126 1.455886908321547 4121.613533419550549 1.451744039948115 4122.987633601332163 1.447731153272198 4124.362191892854753 1.444044346413257 4125.737208446842487 1.440635371612958 4127.112683416085019 1.437251468580367 4128.488616953407472 1.433967786590345 4129.865009211691358 1.430683009857214 4131.241860343865483 1.423510336193197 4132.619170502922316 1.415769164474664 4133.996939841889798 1.411109248584424 4135.375168513855897 1.409130321481587 4136.753856671951326 1.407034739225387 4138.133004469372281 1.404490916418682 4139.512612059354069 1.401946245529701 4140.892679595185655 1.396493603809649 4142.273207230208754 1.390664803683864 4143.654195117809650 1.385817939368515 4145.035643411441015 1.381740853514559 4146.417552264592814 1.378140838803503 4147.799921830809581 1.376020338340374 4149.182752263684961 1.373899130925945 4150.566043716874447 1.378611194203909 4151.949796344072638 1.383841770769113 4153.334010299031434 1.388452268094233 4154.718685735546387 1.392678121247530 4156.103822807478537 1.394698341132628 4157.489421668729847 1.391711555917861 4158.875482473254124 1.388706270353698 4160.262005375053377 1.381290565593215 4161.648990528196009 1.373872388519089 4163.036438086785893 1.367930189841773 4164.424348204985108 1.362608538225681 4165.812721037000301 1.357596493725805 4167.201556737103601 1.353053708574733 4168.590855459607155 1.348903718263110 4169.980617358876771 1.348248389028640 4171.370842589325548 1.347592841314682 4172.761531305432072 1.343802164086981 4174.152683661713127 1.339257621872511 4175.544299812741883 1.334480999143761 4176.936379913136079 1.329484083358175 4178.328924117581664 1.325697102687194 4179.721932580800967 1.326160236600045 4181.115405457572706 1.326623524916600 4182.509342902722892 1.329357205170381 4183.903745071141202 1.332238522101302 4185.298612117758239 1.328025359910007 4186.693944197559176 1.320012315479190 4188.089741465580119 1.310090325531390 4189.486004076905374 1.296850350716334 4190.882732186684734 1.283991223633926 4192.279925950104371 1.275128272598207 4193.677585522409572 1.266262366753033 4195.075711058891102 1.259682072068981 4196.474302714904297 1.253628550277926 4197.873360645844514 1.246949871386101 4199.272885007162586 1.239734702187171 4200.672875954356641 1.233832389092584 4202.073333642990292 1.231300829919634 4203.474258228665349 1.228702491274020 4204.875649867039101 1.219688675239868 4206.277508713819770 1.210671854099566 4207.679834924775605 1.201761311865651 4209.082628655718509 1.192884504591428 4210.485890062512226 1.184857206735100 4211.889619301072344 1.177719125749430 4213.293816527376293 1.170348218268535 4214.698481897441525 1.162205735124338 4216.103615567342786 1.154060537366681 4217.509217693202118 1.143209845302503 4218.915288431204317 1.132283690436584 4220.321827937576927 1.120390473409545 4221.728836368601151 1.108130449215755 4223.136313880607304 1.098647503325149 4224.544260629990276 1.092256012612421 4225.952676773184066 1.086410093074973 4227.361562466679970 1.082405740924548 4228.770917867020216 1.078400053767585 4230.180743130796145 1.070059025427504 4231.591038414662762 1.061623900127396 4233.001803875316000 1.054289901604136 4234.413039669508180 1.047344555476902 4235.824745954037098 1.039930300749065 4237.236922885768763 1.032045358967589 4238.649570621608291 1.022965137311448 4240.062689318514458 1.010748744395767 4241.476279133497883 0.998752450700103 4242.890340223631938 0.991310606777833 4244.304872746030014 0.983866281827442 4245.719876857863710 0.977499882288199 4247.135352716350098 0.971380552953855 4248.551300478772646 0.963676396962743 4249.967720302455746 0.954856139679162 4251.384612344778361 0.944510203953709 4252.801976763169478 0.931570027780621 4254.219813715121745 0.918639709464988 4255.638123358169651 0.905786704040027 4257.056905849901341 0.892929413565798 4258.476161347956804 0.886207998360494 4259.895890010038784 0.879915514361284 4261.316091993890041 0.872174188527531 4262.736767457312453 0.863854705381173 4264.157916558152465 0.856263069809885 4265.579539454325641 0.849405256361383 4267.001636303785745 0.842450902803283 4268.424207264542929 0.835270510355107 4269.847252494656459 0.828468302218755 4271.270772152251084 0.825230302786302 4272.694766395491570 0.821991223840795 4274.119235382599982 0.815459380958982 4275.544179271849316 0.808522637389071 4276.969598221563501 0.804894811437732 4278.395492390130130 0.802724533576369 4279.821861935978632 0.799046451000872 4281.248707017593915 0.793853955564670 4282.676027793509093 0.788989767357931 4284.103824422326397 0.784874537557932 4285.532097062683533 0.780872638162120 4286.960845873278231 0.777706922418259 4288.390071012855515 0.774540151259935 4289.819772640227711 0.774465337583484 4291.249950914245346 0.774623008430261 4292.680605993817153 0.776399263951138 4294.111738037900977 0.778720611959413 4295.543347205521059 0.779950029107950 4296.975433655738925 0.780348964942218 4298.407997547676132 0.782292483703532 4299.841039040501528 0.786658120269930 4301.274558293451264 0.790253148230936 4302.708555465801510 0.790986471990528 4304.143030716883914 0.791806512693818 4305.577984206081055 0.794508952333082 4307.013416092840998 0.797212292935721 4308.449326536651824 0.799772220723279 4309.885715697058913 0.802312759365132 4311.322583733655847 0.804441944566633 4312.759930806104421 0.806399065283426 4314.197757074106448 0.810720540968568 4315.636062697418311 0.816994671149013 4317.074847835848232 0.824079693347483 4318.514112649269919 0.832456020369120 4319.953857297598006 0.840805181005623 4321.394081940803517 0.849061612891118 4322.834786738911134 0.857238358547142 4324.275971851995564 0.864366473527144 4325.717637440196995 0.871496964941545 4327.159783663694725 0.875954094970638 4328.602410682729897 0.880186544038416 4330.045518657587309 0.885762919544759 4331.489107748622700 0.891720100062629 4332.933178116230920 0.897712047702317 4334.377729920862294 0.903725057195901 4335.822763323019899 0.909004896398131 4337.268278483270478 0.913530948958092 4338.714275562223520 0.918835326725426 4340.160754720545810 0.925549312964744 4341.607716118950520 0.931329312106817 4343.055159918222671 0.933782541350523 4344.503086279182753 0.936852575193428 4345.951495362713104 0.946011367919190 4347.400387329743353 0.955173214084713 4348.849762341269525 0.962284897453768 4350.299620558328570 0.969295326986125 4351.749962142017466 0.975578133878338 4353.200787253479575 0.981710674023896 4354.652096053927380 0.987517192334595 4356.103888704612473 0.993187834371533 4357.556165366844652 0.998405368675769 4359.008926201984650 1.003298616899663 4360.462171371458680 1.008162387177582 4361.915901036734795 1.012991617429788 4363.370115359336523 1.018255464554352 4364.824814500844695 1.024322723723152 4366.279998622888343 1.030426841295901 4367.735667887162890 1.036639006027216 4369.191822455404690 1.042503132829300 4370.648462489409212 1.046060821617991 4372.105588151020129 1.049608780174271 4373.563199602150235 1.052721733118013 4375.021297004752341 1.055835723885698 4376.479880520835650 1.057499539799900 4377.938950312460292 1.059047008365737 4379.398506541756433 1.062605435770687 4380.858549370890614 1.066603095076242 4382.319078962090316 1.070568690766929 4383.780095477632130 1.074522945208294 4385.241599079860862 1.076664524094251 4386.703589931160423 1.077774651901297 4388.166068193973842 1.077484892762621 4389.629034030795083 1.076054377626307 4391.092487604185408 1.074917140337478 4392.556429076744280 1.074125147356010 4394.020858611133917 1.073075884879308 4395.485776370063832 1.071587263405025 4396.951182516310837 1.070983933195969 4398.417077212693584 1.072505738108817 4399.883460622088933 1.072897982251691 4401.350332907425582 1.069132528192188 4402.817694231695896 1.065597388507977 4404.285544757937714 1.063548794459597 4405.753884649244355 1.061155488891571 4407.222714068760069 1.054241294663826 4408.692033179698228 1.047326393256414 4410.161842145310402 1.041562754274960 4411.632141128910007 1.035797193760273 4413.102930293863210 1.031610160545029 4414.574209803586200 1.027534419269797 4416.045979821564288 1.024841386320701 4417.518240511321892 1.022359901787776 4418.990992036444368 1.022728254677279 4420.464234560566183 1.023771352525511 4421.937968247389108 1.024608011448676 4423.412193260658569 1.025376661573547 4424.886909764175471 1.028935592102435 4426.362117921793470 1.033674113130883 4427.837817897434434 1.039924137916917 4429.314009855059339 1.046968873804820 4430.790693958689189 1.052417247038502 4432.267870372396828 1.056785183525055 4433.745539260321493 1.061212019157561 4435.223700786643349 1.065686983634878 4436.702355115603496 1.069182997507453 4438.181502411492147 1.071733373983504 4439.661142838667729 1.076628853017557 4441.141276561530503 1.084129717747004 4442.621903744539850 1.092600868086174 4444.103024552205170 1.102272316341405 4445.584639149104987 1.110942927094361 4447.066747699857842 1.118199683126344 4448.549350369142303 1.126319956327360 4450.032447321687869 1.135864721113567 4451.516038722293160 1.146298070144069 4453.000124735795907 1.158395545791732 4454.484705527094775 1.170383489825647 4455.969781261138451 1.182141085193429 4457.455352102944744 1.192259026852148 4458.941418217572391 1.198775837597780 4460.427979770141064 1.205720154632780 4461.915036925822278 1.213685431624461 4463.402589849841206 1.222259347695176 4464.890638707490325 1.232415480278085 4466.379183664103948 1.242182424690266 4467.868224885075506 1.250843316995297 4469.357762535850270 1.259270520753774 4470.847796781940815 1.267004046272989 4472.338327788902461 1.275553818395951 4473.829355722349646 1.286499250193987 4475.320880747947740 1.296555849477049 4476.812903031430324 1.304012466872262 4478.305422738573725 1.311959419316039 4479.798440035212479 1.321310797111929 4481.291955087233873 1.330253374176477 4482.785968060593405 1.337999774263455 4484.280479121286589 1.344004493935302 4485.775488435370789 1.345077881185095 4487.270996168954298 1.345426513634417 4488.767002488212711 1.343861241466356 4490.263507559365280 1.343798022453588 4491.760511548690374 1.347420452778332 4493.258014622516384 1.351845478531093 4494.756016947241733 1.358091377859287 4496.254518689307588 1.362570599799366 4497.753520015212416 1.363233164530100 4499.253021091509254 1.363572425581278 4500.753022084817530 1.363289492155509 4502.253523161799421 1.365556831015832 4503.754524489178038 1.372066870093013 4505.256026233730154 1.377595635104341 4506.758028562285290 1.381672603282696 4508.260531641741181 1.383273451631911 4509.763535639039219 1.381629111347428 4511.267040721179001 1.380899201881369 4512.771047055211966 1.381256752897402 4514.275554808260495 1.379684534218292 4515.780564147485165 1.376146566073519 4517.286075240111131 1.372335902148399 4518.792088253411748 1.368300574839808 4520.298603354732222 1.365093573194867 4521.805620711456868 1.362462626425930 4523.313140491032755 1.361372899271734 4524.821162860958793 1.361180044342551 4526.329687988800288 1.358962176415684 4527.838716042167107 1.355772487576083 4529.348247188730056 1.352706994141959 4530.858281596208144 1.349684322414913 4532.368819432394957 1.348238786934152 4533.879860865120463 1.347203257139827 4535.391406062281021 1.343750490300448 4536.903455191819376 1.339884440277672 4538.416008421751030 1.338667148158569 4539.929065920132416 1.337712508749672 4541.442627855081810 1.335663599438726 4542.956694394767510 1.333469289001424 4544.471265707428756 1.328989155496778 4545.986341961345715 1.324738354682686 4547.501923324861309 1.322239083793514 4549.018009966368481 1.320466645445435 4550.534602054330207 1.321797422964422 4552.051699757253118 1.322134668476654 4553.569303243702961 1.319711138408838 4555.087412682301874 1.316667245447604 4556.606028241723834 1.312491366867209 4558.125150090714669 1.309181718897924 4559.644778398060225 1.307015516721105 4561.164913332607284 1.306097559107493 4562.685555063256288 1.306349581955374 4564.206703758976801 1.305154307026890 4565.728359588779313 1.303003958489531 4567.250522721738889 1.303063218630487 4568.773193326977889 1.304055318679251 4570.296371573692340 1.302090182576404 4571.820057631119198 1.299378152422899 4573.344251668557263 1.298805740680978 4574.868953855356267 1.298484172716570 4576.394164360937793 1.302758741921796 4577.919883354765261 1.307262155294909 4579.446111006361207 1.313547336290484 4580.972847485303646 1.317350419342426 4582.500092961237897 1.311888196341802 4584.027847603853843 1.306712003130032 4585.556111582902304 1.302147878174607 4587.084885068185031 1.300856100164659 4588.614168229575625 1.303934047093495 4590.143961236989526 1.304527219405198 4591.674264260404016 1.303099869275350 4593.205077469848220 1.296870009425307 4594.736401035421295 1.288268134852305 4596.268235127266053 1.278906452839655 4597.800579915586241 1.269338852666457 4599.333435570641996 1.266101028024023 4600.866802262746205 1.263444790465375 4602.400680162281787 1.260754005062229 4603.935069439676226 1.257817743744100 4605.469970265416123 1.253760402103135 4607.005382810041738 1.248970886225241 4608.541307244163363 1.242549611848647 4610.077743738435856 1.236679506883904 4611.614692463572283 1.231490470970469 4613.152153590342095 1.224512963275253 4614.690127289582961 1.216307858067227 4616.228613732176200 1.207204539819646 4617.767613089064071 1.197772872337457 4619.307125531242491 1.190564140325978 4620.847151229777410 1.183707182647298 4622.387690355778432 1.177993156699260 4623.928743080417007 1.171971479552481 4625.470309574915518 1.164562737845618 4627.012390010569106 1.155207724387696 4628.554984558714750 1.142054081431163 4630.098093390753093 1.128797203099849 4631.641716678134799 1.115436130887605 4633.185854592383293 1.104314359540953 4634.730507305064748 1.094356108080235 4636.275674987808088 1.080599492596881 4637.821357812292263 1.066036301567529 4639.367555950270798 1.053799790195003 4640.914269573537240 1.041792626432916 4642.461498853950616 1.030874689576476 4644.009243963419067 1.020859138519734 4645.557505073923494 1.012635472260146 4647.106282357489363 1.006540147975998 4648.655575986203075 1.002457358715624 4650.205386132207423 0.993528864674453 4651.755712967698855 0.982459520797305 4653.306556664945674 0.976232881064639 4654.857917396258927 0.970978680542672 4656.409795334012415 0.970388057421507 4657.962190650632692 0.968949338068581 4659.515103518616343 0.965000990213740 4661.068534110505425 0.961654052659151 4662.622482598902934 0.959083409292836 4664.176949156465525 0.956196465543132 4665.731933955920795 0.953127111999167 4667.287437170039993 0.950906382617098 4668.843458971657128 0.948806494634218 4670.399999533658956 0.945371138713677 4671.957059029003176 0.943050382916700 4673.514637630692050 0.944347291132727 4675.072735511790597 0.947184055205094 4676.631352845414767 0.951945447663489 4678.190489804754179 0.954167763586999 4679.750146563042108 0.955010902716864 4681.310323293572765 0.954249635038553 4682.871020169695839 0.953463676016863 4684.432237364830144 0.955355340320853 4685.993975052440874 0.956938670415880 4687.556233406052343 0.957813224196687 4689.119012599246162 0.958236047566936 4690.682312805673064 0.958237717278801 4692.246134199029257 0.957085043341452 4693.810476953070975 0.955524793417792 4695.375341241609931 0.954473742718488 4696.940727238530599 0.954215198670972 4698.506635117758378 0.957105680742343 4700.073065053284154 0.959211582193470 4701.640017219155197 0.960275178622580 4703.207491789472442 0.960603078598620 4704.775488938410490 0.960576003808563 4706.344008840183960 0.960603528886004 4707.913051669075685 0.960199781082628 4709.482617599416699 0.957290918286447 4711.052706805614434 0.953975363018830 4712.623319462117252 0.950041232526610 4714.194455743438084 0.945497736870592 4715.766115824143526 0.940609568487779 4717.338299878871112 0.937069403368494 4718.911008082303852 0.933784722564520 4720.484240609186600 0.931014733720273 4722.057997634318781 0.926082433114531 4723.632279332570761 0.917892369564402 4725.207085878859289 0.911373209365272 4726.782417448162050 0.905719930700912 4728.358274215510392 0.900566538962877 4729.934656356011146 0.895203264909443 4731.511564044811166 0.888756299428825 4733.088997457123696 0.882951550662033 4734.666956768213822 0.877934400118061 4736.245442153419390 0.873338367607205 4737.824453788123719 0.868900695398810 4739.403991847771977 0.865352553406775 4740.984056507863897 0.862069366576549 4742.564647943971977 0.859479689797452 4744.145766331712366 0.856645579027543 4745.727411846764880 0.853619249703442 4747.309584664868453 0.853575851424388 4748.892284961814767 0.853431888629734 4750.475512913469174 0.848546738184417 4752.059268695740684 0.844226797805493 4753.643552484602878 0.840743171882993 4755.228364456081181 0.836634603935223 4756.813704786277412 0.832256435142354 4758.399573651334322 0.832674253265733 4759.985971227459231 0.833922800000600 4761.572897690914942 0.837184182209071 4763.160353218036107 0.839674350201037 4764.748337985201033 0.841619695086873 4766.336852168852602 0.842161836662541 4767.925895945487355 0.842485650787303 4769.515469491676413 0.842560327287206 4771.105572984033643 0.841933832076811 4772.696206599237485 0.840606616738438 4774.287370514020040 0.838144276424024 4775.879064905186169 0.835864527533561 4777.471289949587117 0.836591855100710 4779.064045824135974 0.836990778041219 4780.657332705801309 0.836985263590225 4782.251150771624452 0.836960935954182 4783.845500198692207 0.836947197872236 4785.440381164153223 0.837111624816472 4787.035793845211629 0.835111738255678 4788.631738419146131 0.830009052683094 4790.228215063279094 0.825770700375747 4791.825223954996545 0.821903923532752 4793.422765271738172 0.818877792723370 4795.020839191019149 0.817227930746720 4796.619445890399220 0.817582684113004 4798.218585547499970 0.816263634391637 4799.818258340003922 0.814436221080038 4801.418464445647260 0.813859345581892 4803.019204042241654 0.812598535260691 4804.620477307641522 0.810360395392499 4806.222284419765856 0.804568819178499 4807.824625556588217 0.797823642372192 4809.427500896156744 0.792317875811770 4811.030910616563233 0.786908402120646 4812.634854895964963 0.781614301421476 4814.239333912573784 0.775898994260372 4815.844347844673393 0.770298526472947 4817.449896870593875 0.765768305527686 4819.055981168730796 0.760894642516961 4820.662600917531563 0.755712031014586 4822.269756295520892 0.751506566823593 4823.877447481265335 0.747228793991450 4825.485674653397837 0.742363526475502 4827.094437990605002 0.737072334768543 4828.703737671648923 0.731517174175604 4830.313573875335351 0.733400541988645 4831.923946780535516 0.734491273306326 4833.534856566173403 0.733839596004754 4835.146303411250301 0.733205253036680 4836.758287494810247 0.732334710300797 4838.370808995962761 0.729382980593443 4839.983868093871024 0.727748199788373 4841.597464967775522 0.727507474038892 4843.211599796958581 0.729788195613341 4844.826272760768916 0.732300246947355 4846.441484038608905 0.734315526966149 4848.057233809957324 0.734343169072154 4849.673522254337513 0.733240422350507 4851.290349551335567 0.732403422054044 4852.907715880599426 0.732251336317297 4854.525621421832511 0.733025749527784 4856.144066354811002 0.735009545449525 4857.763050859357463 0.737457756451471 4859.382575115358122 0.740581036924052 4861.002639302757416 0.743320092677115 4862.623243601569811 0.745828548184383 4864.244388191859798 0.748549921816475 4865.866073253752802 0.750157186761938 4867.488298967431547 0.750281787304012 4869.111065513154244 0.748956991021002 4870.734373071221853 0.748736300961451 4872.358221822003543 0.752552762926147 4873.982611945920326 0.756850285630229 4875.607543623470519 0.760923592798481 4877.233017035197918 0.759959103011182 4878.859032361709069 0.759865227566098 4880.485589783668729 0.760651108877802 4882.112689481815323 0.760803115646014 4883.740331636932751 0.761531741915175 4885.368516429868578 0.763450634351896 4886.997244041529484 0.765530468087892 4888.626514652894002 0.767706816944211 4890.256328444987048 0.770076343728845 4891.886685598899930 0.770410064608855 4893.517586295777619 0.769982091155223 4895.149030716841480 0.773965202042640 4896.781019043358356 0.776657765497447 4898.413551456660571 0.778135826803496 4900.046628138139567 0.781620918125224 4901.680249269244086 0.784658995722975 4903.314415031497447 0.786870956378556 4904.949125606469352 0.790435933150623 4906.584381175793169 0.793328757021104 4908.220181921158655 0.793891940275531 4909.856528024332874 0.798154968902458 4911.493419667126545 0.803341767022851 4913.130857031415871 0.806789056622399 4914.768840299133444 0.808053303596431 4916.407369652289162 0.808053148770884 4918.046445272933852 0.807439606758573 4919.686067343190189 0.805582912649801 4921.326236045230871 0.802815507703249 4922.966951561307724 0.801700583861426 4924.608214073718045 0.798702271920565 4926.250023764823709 0.793761436603774 4927.892380817042977 0.795039943445139 4929.535285412870508 0.796762017321906 4931.178737734846436 0.798760306938262 4932.822737965575470 0.798828754535618 4934.467286287719617 0.799682006391823 4936.112382884017279 0.802149356060740 4937.758027937250517 0.806754478374045 4939.404221630271422 0.811339613548622 4941.050964145982107 0.815172843568060 4942.698255667366539 0.820144335733970 4944.346096377450522 0.824411710469999 4945.994486459328073 0.826455576704470 4947.643426096148687 0.826802987104979 4949.292915471138258 0.826741328311558 4950.942954767568153 0.826784377418020 4952.593544168775225 0.826067925681879 4954.244683858159988 0.824811599100535 4955.896374019174800 0.822700770169460 4957.548614835353874 0.826870791736084 4959.201406490272348 0.832350071129671 4960.854749167574482 0.835969587781616 4962.508643050960018 0.840028396106079 4964.163088324204182 0.843250922448736 4965.818085171131315 0.843807396230901 4967.473633775627604 0.843935002916185 4969.129734321639262 0.844225768704254 4970.786386993186170 0.845242910822367 4972.443591974338233 0.848811817654453 4974.101349449227200 0.852405683260270 4975.759659602043030 0.854556773180613 4977.418522617054805 0.855796149633973 4979.077938678573446 0.855943378452332 4980.737907970979904 0.854362518356782 4982.398430678708792 0.855550418206470 4984.059506986273846 0.856140870943749 4985.721137078233369 0.855056935962667 4987.383321139213876 0.858317188396861 4989.046059353896453 0.863207687540896 4990.709351907040400 0.869650567036785 4992.373198983450493 0.873560242036401 4994.037600767998811 0.876532100111737 4995.702557445614730 0.878752174256531 4997.368069201302205 0.884788819802443 4999.034136220114306 0.893171320522189 5000.700758687167763 0.902826671099471 5002.367936787644794 0.907904333142644 5004.035670706781275 0.911876068101774 5005.703960629891299 0.915260039544126 5007.372806742336252 0.918731331935245 5009.042209229542095 0.923429965214716 5010.712168276992998 0.929226288335082 5012.382684070251344 0.936716774821170 5014.053756794924084 0.945921837226805 5015.725386636685471 0.953895087543803 5017.397573781267965 0.959209298029342 5019.070318414480425 0.964474031392725 5020.743620722177184 0.971664933924170 5022.417480890281695 0.980561660381302 5024.091899104772892 0.981486664020658 5025.766875551708836 0.986218396305198 5027.442410417190331 0.992499566746410 5029.118503887390034 0.993740147295088 5030.795156148533351 0.998031028793384 5032.472367386927544 1.003677847657599 5034.150137788923530 1.009865039671310 5035.828467540939528 1.018571406688133 5037.507356829451965 1.027544055808849 5039.186805841014575 1.036372562388727 5040.866814762227477 1.051802961065088 5042.547383779758093 1.060761805102305 5044.228513080332050 1.065921560072004 5045.910202850750466 1.075812750394414 5047.592453277863569 1.084523991752965 5049.275264548587074 1.093463014617763 5050.958636849896720 1.103853048917929 5052.642570368841916 1.112866866704255 5054.327065292523002 1.119465220741900 5056.012121808105803 1.123440766043933 5057.697740102817988 1.124292924633218 5059.383920363945435 1.124676059477535 5061.070662778852238 1.127268447761859 5062.757967534949785 1.137478236649582 5064.445834819714946 1.146136199424673 5066.134264820683711 1.154039895818943 5067.823257725471194 1.161362095304856 5069.512813721736165 1.170338998207952 5071.202932997207427 1.177732627892494 5072.893615739671986 1.183469516703945 5074.584862136993252 1.186826037189940 5076.276672377081923 1.189815772255998 5077.969046647916912 1.193947830874451 5079.661985137535339 1.199600994229833 5081.355488034050722 1.203285585975536 5083.049555525626602 1.206497699122166 5084.744187800491090 1.209387272399632 5086.439385046932330 1.212095954815027 5088.135147453314858 1.216337546163546 5089.831475208053234 1.219108089279076 5091.528368499627504 1.219579521644105 5093.225827516575919 1.221188210006876 5094.923852447514946 1.223998002082093 5096.622443481110167 1.227358913614916 5098.321600806092647 1.231184025851567 5100.021324611253476 1.233699476557332 5101.721615085461053 1.235365867413105 5103.422472417631070 1.235869456821231 5105.123896796747431 1.235789133652659 5106.825888411852247 1.233623398633498 5108.528447452065848 1.230670196834021 5110.231574106557673 1.232278368369576 5111.935268564562648 1.235117035731756 5113.639531015380271 1.237325605111151 5115.344361648368249 1.239423978076593 5117.049760652962505 1.233125103164072 5118.755728218646254 1.226039731659470 5120.462264534971837 1.223582184362895 5122.169369791548888 1.221466418454676 5123.877044178067081 1.224431061131276 5125.585287884261561 1.226660882585757 5127.294101099937507 1.223189001695844 5129.003484014958303 1.219811765273582 5130.713436819265553 1.216877356335160 5132.423959702849061 1.214616305377362 5134.135052855766844 1.214401547685043 5135.846716468135128 1.213895618729026 5137.558950730148354 1.212752050911736 5139.271755832050985 1.211836282420104 5140.985131964152970 1.211282742618275 5142.699079316826101 1.210474271368398 5144.413598080518568 1.209359741261341 5146.128688445727676 1.208558768196524 5147.844350603018029 1.208036212211228 5149.560584743013351 1.207373619039285 5151.277391056418310 1.206617722922915 5152.994769733983048 1.205656725806106 5154.712720966526831 1.204595571690898 5156.431244944929858 1.205250058307788 5158.150341860147819 1.206490614086293 5159.870011903186423 1.207725651694535 5161.590255265120504 1.208959797920144 5163.311072137088559 1.209135548559946 5165.032462710287291 1.209187821435235 5166.754427175992532 1.209610799715979 5168.476965725527407 1.210231893619309 5170.200078550286889 1.214379707528961 5171.923765841721433 1.218152121328641 5173.648027791363347 1.219399342704782 5175.372864590790414 1.219299137342675 5177.098276431653176 1.214138233662292 5178.824263505657655 1.208327011593809 5180.550826004589908 1.200896982726182 5182.277964120286924 1.193469090728505 5184.005678044652086 1.186046409391902 5185.733967969646983 1.182250842350689 5187.462834087316878 1.182930876313093 5189.192276589750691 1.180282901160857 5190.922295669110099 1.174720238201102 5192.652891517613170 1.166128785531150 5194.384064327558917 1.155678277083059 5196.115814291295464 1.141879241116644 5197.848141601238240 1.126655648863022 5199.581046449864516 1.116442377299814 5201.314529029727964 1.107549848621772 5203.048589533434097 1.096043519372603 5204.783228153654818 1.084162781951999 5206.518445083123879 1.073583064540107 5208.254240514652338 1.063026379151398 5209.990614641102184 1.052159583420768 5211.727567655403618 1.040800259197600 5213.465099750545050 1.026494874850243 5215.203211119597654 1.013127482315520 5216.941901955678986 1.002877847614626 5218.681172451977545 0.992715631040609 5220.421022801744584 0.982740785142205 5222.161453198292293 0.972278395355530 5223.902463835011986 0.961128381683572 5225.644054905344092 0.949145828076730 5227.386226602799070 0.936355050897992 5229.128979120945587 0.922555635936244 5230.872312653434165 0.908087126805814 5232.616227393962617 0.893055467838967 5234.360723536299702 0.877776474466047 5236.105801274272380 0.862275283296844 5237.851460801789472 0.846712620066375 5239.597702312807087 0.835194855058972 5241.344526001354097 0.824163622840597 5243.091932061513944 0.816633779775467 5244.839920687454651 0.809174753265085 5246.588492073392445 0.802161088794611 5248.337646413612674 0.796253061729468 5250.087383902459806 0.795151667306821 5251.837704734360159 0.792844404077075 5253.588609103789167 0.787584901970480 5255.340097205291386 0.783646888212177 5257.092169233470486 0.781743426996370 5258.844825383013813 0.780142987913511 5260.598065848653277 0.778853853546565 5262.351890825193550 0.777723188295902 5264.106300507501146 0.776698215798630 5265.861295090518979 0.776856374838386 5267.616874769240894 0.777518114132364 5269.373039738733496 0.776993217361171 5271.129790194117959 0.776190216801107 5272.887126330601859 0.780298248469881 5274.645048343438248 0.784760790176942 5276.403556427952935 0.785191270547740 5278.162650779533578 0.785880575401435 5279.922331593632407 0.788267905961628 5281.682599065778049 0.791080036389326 5283.443453391550975 0.795194827771588 5285.204894766602592 0.799159265386476 5286.966923386642520 0.802848977103451 5288.729539447462230 0.806942033991372 5290.492743144902306 0.811488910433029 5292.256534674876093 0.818882883415974 5294.020914233353324 0.828323697879131 5295.785882016387404 0.836587740420513 5297.551438220079945 0.844335491571547 5299.317583040604404 0.851420541580997 5301.084316674194270 0.858355851274267 5302.851639317163063 0.868543010956584 5304.619551165875237 0.878661086960910 5306.388052416765277 0.881960141398218 5308.157143266328603 0.885501181742044 5309.926823911140673 0.890237068690571 5311.697094547826055 0.895716999438221 5313.467955373083896 0.903048859042521 5315.239406583670643 0.908401440521699 5317.011448376424596 0.910856812224102 5318.784080948233168 0.916915233595201 5320.557304496056531 0.926210580461907 5322.331119216913066 0.933436594053003 5324.105525307905737 0.939571078019578 5325.880522966184799 0.948653233274197 5327.656112388971451 0.958580388898816 5329.432293773553283 0.966486170548537 5331.209067317279732 0.974044119701895 5332.986433217579361 0.977002118107392 5334.764391671933481 0.979624020612152 5336.542942877891619 0.980399094048703 5338.322087033065145 0.981634352243695 5340.101824335149104 0.984008397600045 5341.882154981885833 0.986064514430464 5343.663079171088611 0.987675321400500 5345.444597100634383 0.993703898784801 5347.226708968479215 1.003392968024924 5349.009414972631930 1.008768509111901 5350.792715311167740 1.012098915542483 5352.576610182228251 1.014927988746448 5354.361099784034195 1.017640818749813 5356.146184314857237 1.019888538897893 5357.931863973039071 1.021975563093511 5359.718138956983239 1.022620066913195 5361.505009465176954 1.024226524043595 5363.292475696154725 1.029223441961222 5365.080537848523818 1.031882746397595 5366.869196120953347 1.030350718468714 5368.658450712192462 1.027781102588584 5370.448301821043060 1.024158782585335 5372.238749646377983 1.019347017430123 5374.029794387128277 1.013869670469125 5375.821436242312302 1.008609131189815 5377.613675410993892 1.003407733180564 5379.406512092312369 1.003749166870698 5381.199946485465262 1.003946800835138 5382.993978789734683 0.995765482476876 5384.788609204451859 0.988232941680848 5386.583837929018955 0.983055876525397 5388.379665162907258 0.977882082189709 5390.176091105648084 0.972715381429886 5391.973115956854599 0.966830201528133 5393.770739916189996 0.960264283726796 5395.568963183390224 0.953673322277725 5397.367785958253990 0.947068448171972 5399.167208440660943 0.942831899909859 5400.967230830539847 0.939150824808454 5402.767853327895864 0.932343080215588 5404.569076132790542 0.925215304953548 5406.370899445370924 0.916524774420030 5408.173323465834983 0.908768361674063 5409.976348394451634 0.903567544695989 5411.779974431551636 0.896379986357977 5413.584201777548515 0.886524371560346 5415.389030632906724 0.878017283430401 5417.194461198163481 0.870481628151924 5419.000493673915116 0.863189624701163 5420.807128260844365 0.855983202337955 5422.614365159682166 0.853630110329904 5424.422204571232214 0.851750680833802 5426.230646696361873 0.848662049442066 5428.039691736017630 0.845612966481210 5429.849339891201453 0.842705997321507 5431.659591362983520 0.840035153765110 5433.470446352497675 0.837748852703611 5435.281905060961435 0.837509550604766 5437.093967689643250 0.838962679156499 5438.906634439882509 0.838918063388597 5440.719905513086815 0.838260687222228 5442.533781110723794 0.835504071348654 5444.348261434349297 0.832611678908801 5446.163346685563738 0.833160452606298 5447.979037066045748 0.834698053141867 5449.795332777530348 0.839862870342585 5451.612234021842596 0.845266478023662 5453.429741000852118 0.851048315399233 5455.247853916505846 0.856535223500409 5457.066572970808920 0.861785224744844 5458.885898365853791 0.869651161318435 5460.705830303782932 0.878492901685429 5462.526368986808848 0.891213475312492 5464.347514617209526 0.904335371982052 5466.169267397344811 0.917301383572661 5467.991627529627294 0.929735207835305 5469.814595216540511 0.940591187454026 5471.638170660630749 0.949908611253395 5473.462354064528881 0.957202539927470 5475.287145630916712 0.963590777928563 5477.112545562547893 0.969405711891444 5478.938554062240655 0.976875046730990 5480.765171332895079 0.984777602771219 5482.592397577462179 0.995864354371496 5484.420232998969368 1.008457286815140 5486.248677800501355 1.028592758316246 5488.077732185231071 1.045453348719067 5489.907396356381469 1.056037317339058 5491.737670517248262 1.066707803239355 5493.568554871189917 1.077455849253310 5495.400049621647668 1.090871010518808 5497.232154972117314 1.105351175689934 5499.064871126165599 1.121661289357736 5500.898198287427476 1.137575833426063 5502.732136659599746 1.147946832863564 5504.566686446465610 1.158433646373087 5506.401847851858292 1.169203051789003 5508.237621079682867 1.178812996556427 5510.074006333910802 1.187155948491755 5511.911003818595418 1.200563699372952 5513.748613737840969 1.216407771088602 5515.586836295828107 1.226763902045601 5517.425671696795689 1.236547571450121 5519.265120145071705 1.249808392170096 5521.105181845034167 1.263215110005262 5522.945857001133845 1.277021504013041 5524.787145817883356 1.288653816606006 5526.629048499882629 1.297787688890486 5528.471565251782522 1.301235394974143 5530.314696278306656 1.301791321042561 5532.158441784240495 1.306016126707777 5534.002801974457725 1.311233534782691 5535.847777053881146 1.321970511331646 5537.693367227507224 1.331036842567957 5539.539572700396093 1.335760020201364 5541.386393677693377 1.336955853133995 5543.233830364596542 1.334409198602136 5545.081882966374906 1.325977963347005 5546.930551688361447 1.314944381295479 5548.779836735978279 1.302876248814250 5550.629738314692077 1.292174728652970 5552.480256630050462 1.293058548180058 5554.331391887658356 1.294934648512457 5556.183144293210717 1.298873492962151 5558.035514052451617 1.299926128308905 5559.888501371199709 1.298492946972123 5561.742106455342764 1.299367315089500 5563.596329510830401 1.301007366267364 5565.451170743699549 1.298344791848590 5567.306630360038071 1.296177845931645 5569.162708566007495 1.296730669449550 5571.019405567834838 1.299892238115264 5572.876721571828966 1.306910450059762 5574.734656784352410 1.308619396431896 5576.593211411844095 1.307166050194417 5578.452385660804794 1.303203749747010 5580.312179737818951 1.298912314861372 5582.172593849525583 1.296072171218723 5584.033628202636464 1.294025058180318 5585.895283003928853 1.293852884429999 5587.757558460264590 1.292553501123609 5589.620454778556450 1.290233241167146 5591.483972165794512 1.288039663248625 5593.348110829028883 1.285887086419150 5595.212870975397891 1.280490113147954 5597.078252812091705 1.277700486056220 5598.944256546375073 1.284733041022499 5600.810882385575496 1.288893922099170 5602.678130537107791 1.289472363971817 5604.546001208438611 1.289960763211142 5606.414494607108281 1.290406412138314 5608.283610940721701 1.293490325322740 5610.153350416971080 1.295802855259417 5612.023713243597740 1.292354372005809 5613.894699628420312 1.290441564248126 5615.766309779326548 1.290959787842608 5617.638543904266953 1.292400227795568 5619.511402211279346 1.294384043201946 5621.384884908454296 1.297473347377241 5623.258992203955131 1.299601980104558 5625.133724306009753 1.292781035958982 5627.009081422935196 1.286937933579945 5628.885063763097605 1.282860506637839 5630.761671534939524 1.281597795058668 5632.638904946967159 1.282188995172405 5634.516764207773122 1.280535748389804 5636.395249526003681 1.278289974221894 5638.274361110377868 1.274244988454972 5640.154099169682013 1.271380009560848 5642.034463912787032 1.270728415386401 5643.915455548614773 1.268863703552567 5645.797074286166207 1.266183859372130 5647.679320334504155 1.270353485791269 5649.562193902777835 1.275478378376730 5651.445695200189220 1.278873224498248 5653.329824436017589 1.279061376554720 5655.214581819604973 1.273693976191542 5657.099967560378900 1.266526313427684 5658.985981867821465 1.258256154288886 5660.872624951491161 1.256106614324026 5662.759897021007419 1.254779959585152 5664.647798286079706 1.253442537691425 5666.536328956468424 1.250754909940987 5668.425489242010372 1.246089157026563 5670.315279352606922 1.244084598978880 5672.205699498246759 1.243394078868930 5674.096749888969498 1.243916064509077 5675.988430734892063 1.242029303369335 5677.880742246202317 1.230164617063377 5679.773684633150879 1.221082878523316 5681.667258106075678 1.215182100506077 5683.561462875368306 1.212162058287419 5685.456299151495841 1.210127248508848 5687.351767144990845 1.204906079339405 5689.247867066470462 1.200237020445676 5691.144599126608227 1.196965466912609 5693.041963536152252 1.192306192694628 5694.939960505914314 1.186554199510675 5696.838590246794411 1.182886635368687 5698.737852969746200 1.179562528963254 5700.637748885797919 1.175753690698732 5702.538278206045106 1.170754013013928 5704.439441141667885 1.163920275337123 5706.341237903900947 1.154175235739199 5708.243668704055381 1.143017511724633 5710.146733753505941 1.140467759391118 5712.050433263717423 1.137671592071848 5713.954767446203732 1.132760740606908 5715.859736512559721 1.127582725391743 5717.765340674442086 1.122162477122844 5719.671580143596657 1.116295502661979 5721.578455131821102 1.110449130011255 5723.485965850990397 1.105734528755169 5725.394112513045002 1.102392942404439 5727.302895330012689 1.101201259865349 5729.212314513975798 1.106528092751953 5731.122370277089431 1.114896659830051 5733.033062831578718 1.118114644724763 5734.944392389752466 1.120198999852256 5736.856359163976776 1.119630619555098 5738.768963366690514 1.116340855184371 5740.682205210406210 1.111034628244610 5742.596084907700060 1.105725802751146 5744.510602671238303 1.100737318630727 5746.425758713737196 1.097291510254626 5748.341553247993033 1.091016483131540 5750.257986486866685 1.081622693115756 5752.175058643305420 1.076687263112430 5754.092769930312897 1.073297203518797 5756.011120560966447 1.072780247814354 5757.930110748412517 1.073437001494403 5759.849740705882141 1.075923815488515 5761.770010646661831 1.081258447792916 5763.690920784115406 1.087829157749118 5765.612471331671259 1.094588927186790 5767.534662502846913 1.101528378957919 5769.457494511213554 1.108847701797156 5771.380967570418761 1.119393962753059 5773.305081894175601 1.131841592709565 5775.229837696287177 1.133868381129792 5777.155235190608437 1.131945796740333 5779.081274591073452 1.120524522571487 5781.007956111679960 1.115395929632174 5782.935279966514827 1.114919975629638 5784.863246369721310 1.122791711662936 5786.791855535515424 1.133156473082028 5788.721107678184126 1.149044565772702 5790.651003012097135 1.161172584645596 5792.581541751684199 1.170088397777865 5794.512724111447824 1.177055677608767 5796.444550305965095 1.181273933512098 5798.377020549875851 1.175016566823259 5800.310135057912703 1.172759473420459 5802.243894044860099 1.174236487112607 5804.178297725578886 1.177453905855806 5806.113346314996306 1.180857186318315 5808.049040028132367 1.183659724821787 5809.985379080056191 1.190961989733056 5811.922363685916935 1.202609786697622 5813.859994060929239 1.211989642448441 5815.798270420396875 1.219263248653162 5817.737192979679094 1.219053145975022 5819.676761954210633 1.216636123124605 5821.616977559493534 1.212214702841847 5823.557840011118969 1.205367591759721 5825.499349524732679 1.199362236862345 5827.441506316057712 1.198303878117905 5829.384310600884419 1.196938936783403 5831.327762595090462 1.195320690721487 5833.271862514608074 1.197776528917158 5835.216610575451341 1.201897120625676 5837.162006993696195 1.209815335564105 5839.108051985507700 1.215690060973707 5841.054745767110035 1.220113551755611 5843.002088554800139 1.218949997821962 5844.950080564945893 1.217713017508944 5846.898722014000668 1.217350696646313 5848.848013118475137 1.216259987937045 5850.797954094957277 1.214750363475283 5852.748545160100548 1.210356286952555 5854.699786530650272 1.207552511685983 5856.651678423404519 1.207857346185618 5858.604221055240487 1.207395699666524 5860.557414643106313 1.206794568894272 5862.511259404018347 1.209186296438286 5864.465755555082069 1.213415252646965 5866.420903313458439 1.220156707650094 5868.376702896385723 1.222933546411219 5870.333154521169490 1.224808017938095 5872.290258405203531 1.227481119270786 5874.248014765938933 1.233342334973563 5876.206423820905002 1.242148649434396 5878.165485787696525 1.239282275614242 5880.125200883996513 1.237477678859250 5882.085569327548910 1.242849048280850 5884.046591336169513 1.248666684174390 5886.008267127745967 1.254745014584895 5887.970596920252319 1.260419189565402 5889.933580931719916 1.262230734961544 5891.897219380258321 1.257703318527020 5893.861512484043487 1.258176440215797 5895.826460461341412 1.260351240930782 5897.792063530474479 1.262979235712094 5899.758321909843289 1.262790579137301 5901.725235817914836 1.259924230487877 5903.692805473247063 1.261989495474667 5905.661031094452483 1.265325828515564 5907.629912900221825 1.270420210770811 5909.599451109315851 1.272621565440046 5911.569645940582632 1.273284086167232 5913.540497612928448 1.272447088764542 5915.512006345334157 1.270647222048730 5917.484172356858835 1.267632632064318 5919.456995866625221 1.265190933594035 5921.430477093847003 1.263680835626049 5923.404616257794260 1.265021021459732 5925.379413577817104 1.264140133359963 5927.354869273329314 1.261897717677285 5929.330983563839254 1.260510713781199 5931.307756668909860 1.260685698294687 5933.285188808181374 1.263075959911534 5935.263280201363159 1.267323697540833 5937.242031068253709 1.272011969592324 5939.221441628709727 1.276719971176033 5941.201512102666129 1.282848554523247 5943.182242710123319 1.289652605723592 5945.163633671176285 1.286907331086660 5947.145685205970949 1.282568517267205 5949.128397534737815 1.276087498679283 5951.111770877771050 1.272402820849083 5953.095805455456684 1.269186014420277 5955.080501488238951 1.265743931507651 5957.065859196638485 1.260396895262383 5959.051878801244129 1.254369993572584 5961.038560522737498 1.252409318575377 5963.025904581854775 1.248043756554832 5965.013911199412178 1.241133426195443 5967.002580596294138 1.231593626053053 5968.991912993473306 1.219535563973548 5970.981908611984181 1.202796032932943 5972.972567672934019 1.190410078023397 5974.963890397502837 1.178846072002378 5976.955877006960691 1.163959422747480 5978.948527722634026 1.144213771596517 5980.941842765925685 1.121149799467501 5982.935822358318546 1.100699027864530 5984.930466721358243 1.081012945066186 5986.925776076684997 1.062296920133718 5988.921750645991779 1.047735294903196 5990.918390651056143 1.032478624010003 5992.915696313718399 1.014254793093437 5994.913667855915264 0.996245797733812 5996.912305499636204 0.979453995486556 5998.911609466953450 0.968196757513702 6000.911579980005627 0.949666974711862 6002.912217261022306 0.926622418503451 6004.913521532293089 0.906150051600979 6006.915493016182154 0.887653070344611 6008.918131935126439 0.871195138761935 6010.921438511652923 0.855996107817359 6012.925412968345881 0.840148180233577 6014.930055527868717 0.823071101280099 6016.935366412952135 0.806764435829030 6018.941345846424156 0.790340671565230 6020.947994051161004 0.773149562516921 6022.955311250127124 0.757460012151628 6024.963297666348808 0.742916990547953 6026.971953522950571 0.731211269328884 6028.981279043107861 0.719671955105400 6030.991274450080709 0.707890418238394 6033.001939967194630 0.692187975164076 6035.013275817869726 0.674472154002000 6037.025282225582487 0.655029444150869 6039.037959413888530 0.637879382919075 6041.051307606411683 0.621869460502042 6043.065327026870364 0.607219847395289 6045.080017899037557 0.589793809124353 6047.095380446769923 0.574563497509067 6049.111414893994151 0.563354721690769 6051.128121464709693 0.552897623669317 6053.145500383006947 0.541989011189274 6055.163551873030883 0.529763889358777 6057.182276159012872 0.518840953884414 6059.201673465247950 0.508456759000134 6061.221744016124831 0.498591650028785 6063.242488036091345 0.490506913399459 6065.263905749673540 0.483260365568696 6067.285997381467496 0.476651578663849 6069.308763156162968 0.466379930764236 6071.332203298504282 0.454502239572035 6073.356318033319440 0.443426844593065 6075.381107585502832 0.432134150545484 6077.406572180045259 0.421303838374926 6079.432712041989362 0.414710352519388 6081.459527396464182 0.410343765625064 6083.487018468663337 0.407840975994427 6085.515185483877758 0.409722109020329 6087.544028667452039 0.409696714874553 6089.573548244813537 0.407803939885779 6091.603744441458730 0.399520073010262 6093.634617482976864 0.396399601419066 6095.666167595013576 0.397326596221521 6097.698395003298174 0.397642576332419 6099.731299933626360 0.396606795477800 6101.764882611889334 0.394640833904282 6103.799143264033773 0.396140417741420 6105.834082116090940 0.398456472583090 6107.869699394162126 0.401261600361184 6109.905995324423202 0.400023164201290 6111.942970133139170 0.400966372619062 6113.980624046636876 0.403899864288357 6116.018957291322295 0.410257917346778 6118.057970093667791 0.418285464004120 6120.097662680245776 0.427835248518015 6122.138035277681411 0.440497040129331 6124.179088112682621 0.447764638458704 6126.220821412027362 0.451474618431398 6128.263235402586361 0.459434065599462 6130.306330311289457 0.466803906295273 6132.350106365146530 0.474543089852998 6134.394563791237488 0.488006941503140 6136.439702816736826 0.499457908626692 6138.485523668876340 0.509531209768620 6140.532026574970587 0.518423454974346 6142.579211762399609 0.530258303926749 6144.627079458642584 0.543361418395624 6146.675629891235076 0.555951002610364 6148.724863287791777 0.570490999634070 6150.774779876000139 0.586423449695758 6152.825379883641290 0.604288513870212 6154.876663538552748 0.620208758662967 6156.928631068656614 0.633499884879756 6158.981282701940472 0.642158842944293 6161.034618666491042 0.655924727864475 6163.088639190449612 0.671114869425107 6165.143344502042055 0.687115618927091 6167.198734829560635 0.708194869097279 6169.254810401396753 0.726963565201089 6171.311571445995469 0.742349551403562 6173.369018191886425 0.759205772529317 6175.427150867673845 0.778421898950946 6177.485969702034708 0.799606522151513 6179.545474923737856 0.819781897399884 6181.605666761610337 0.840864793452728 6183.666545444564690 0.860694767405081 6185.728111201578940 0.871856747063746 6187.790364261729337 0.885898342829027 6189.853304854148519 0.902019929687442 6191.916933208052797 0.920733801486499 6193.981249552727604 0.935503016429265 6196.046254117553872 0.950017341588106 6198.111947131969828 0.965505790186185 6200.178328825497374 0.977072310381037 6202.245399427729353 0.990813262794026 6204.313159168350467 1.006563702049320 6206.381608277107262 1.014632956415843 6208.450746983827230 1.021976344681693 6210.520575518407895 1.031499474282560 6212.591094110843187 1.053070806552625 6214.662302991183424 1.080145679298241 6216.734202389563507 1.104954186702146 6218.806792536189278 1.121050348537850 6220.880073661360257 1.133141152784958 6222.954045995434171 1.143840264593469 6225.028709768853332 1.153591910101352 6227.104065212129171 1.165999186723400 6229.180112555869528 1.174284100927171 6231.256852030739537 1.178352823827677 6233.334283867488921 1.175649234312878 6235.412408296935610 1.171219115284204 6237.491225549996670 1.170934826269310 6239.570735857645559 1.179240907450293 6241.650939450937585 1.193162273212238 6243.731836561006276 1.208920213954014 6245.813427419057916 1.225864645228153 6247.895712256391562 1.241658718683750 6249.978691304366293 1.262016092730075 6252.062364794424866 1.281981650570899 6254.146732958078246 1.296062381957904 6256.231796026937445 1.306424363436434 6258.317554232669863 1.313509834951981 6260.404007807026574 1.318039044018042 6262.491156981826862 1.329382823206501 6264.579001988991877 1.334699862816740 6266.667543060497337 1.337532323443477 6268.756780428401726 1.341663150443993 6270.846714324838103 1.349201086152054 6272.937344982033210 1.358418544574023 6275.028672632272901 1.368948574141903 6277.120697507927616 1.379577075194047 6279.213419841436917 1.389071481053734 6281.306839865339498 1.396767277472762 6283.400957812230445 1.401514503922106 6285.495773914790334 1.404269104087879 6287.591288405768864 1.412340387056143 6289.687501518014869 1.423778592533406 6291.784413484434481 1.426431326997619 6293.882024538017504 1.429275488178914 6295.980334911825594 1.429181078319870 6298.079344839016812 1.424331451578582 6300.179054552808338 1.422231739888605 6302.279464286501934 1.421306662798709 6304.380574273474849 1.423847245761915 6306.482384747179822 1.434388086511601 6308.584895941161449 1.450931376316493 6310.688108089027082 1.464357461541577 6312.792021424466839 1.471848691490903 6314.896636181241774 1.466662602521080 6317.001952593212991 1.465555827888779 6319.107970894295249 1.461437644290103 6321.214691318492441 1.451671187235773 6323.322114099877581 1.448385888027557 6325.430239472620997 1.448546146793527 6327.539067670953955 1.450336251477744 6329.648598929189575 1.452328794859117 6331.758833481713737 1.452060949882021 6333.869771563010545 1.449264911679289 6335.981413407621403 1.449249519843767 6338.093759250174116 1.461160093283644 6340.206809325366521 1.463710213981809 6342.320563867995588 1.457464273204076 6344.435023112914678 1.447543646069580 6346.550187295066280 1.446308005774635 6348.666056649461098 1.452270016585700 6350.782631411208058 1.458086363227551 6352.899911815476116 1.462220661277985 6355.017898097518810 1.463873571438551 6357.136590492661526 1.460436848257626 6359.255989236326968 1.460915555830872 6361.376094563997867 1.463711039284363 6363.496906711241536 1.455157343847482 6365.618425913697138 1.448428242130271 6367.740652407102061 1.438775052292823 6369.863586427252812 1.429493264466602 6371.987228210030480 1.436977014703651 6374.111577991396189 1.445365789380752 6376.236636007381094 1.452346721468659 6378.362402494116395 1.456648546964592 6380.488877687792410 1.455865248500282 6382.616061824683129 1.436951132092420 6384.743955141136212 1.416142780663506 6386.872557873597543 1.398245641228629 6389.001870258572126 1.387822149815702 6391.131892532649545 1.382908728499762 6393.262624932493054 1.380902252751561 6395.394067694864134 1.381563655229372 6397.526221056581562 1.384903693964948 6399.659085254553247 1.388049210169490 6401.792660525756219 1.384768174064076 6403.926947107267551 1.376328805383374 6406.061945236225256 1.364730715171976 6408.197655149849197 1.361037078056819 6410.334077085435638 1.360513201796038 6412.471211280376338 1.359319959806198 6414.609057972124901 1.355667941685793 6416.747617398219518 1.349485015401898 6418.886889796272953 1.348871763830746 6421.026875403993472 1.345005732683431 6423.167574459150273 1.338518625543683 6425.308987199600779 1.333503871325451 6427.451113863271530 1.329998662198216 6429.593954688190934 1.332784848730749 6431.737509912444693 1.333069836561264 6433.881779774206734 1.325538985506012 6436.026764511728288 1.318842236655317 6438.172464363335166 1.313358073856868 6440.318879567450495 1.308934389136109 6442.466010362559246 1.304414156300499 6444.613856987231884 1.297789801363977 6446.762419680110725 1.291760329219419 6448.911698679938127 1.283410310963010 6451.061694225516476 1.279541566431858 6453.212406555734560 1.280023605511861 6455.363835909553018 1.269418708195492 6457.515982526033440 1.266831545706034 6459.668846644295627 1.268098968097364 6461.822428503548508 1.269035909780864 6463.976728343070135 1.267168514359322 6466.131746402243152 1.271359693923630 6468.287482920503862 1.265957117410980 6470.443938137381338 1.250980749561379 6472.601112292473772 1.237635565743810 6474.759005625482132 1.240267966236490 6476.917618376162864 1.247013063507779 6479.076950784364271 1.250087408965363 6481.237003090004691 1.240198104681169 6483.397775533103413 1.222792106533252 6485.559268353737934 1.210718775496799 6487.721481792077611 1.203057433452599 6489.884416088358194 1.206276871900009 6492.048071482920932 1.208953156240367 6494.212448216165285 1.208104183215483 6496.377546528578023 1.205640200981716 6498.543366660716856 1.212357800343448 6500.709908853243178 1.213028352448144 6502.877173346878408 1.204463080794848 6505.045160382427639 1.197051335980067 6507.213870200778729 1.199189101002242 6509.383303042893203 1.189760499181787 6511.553459149832634 1.188399435610230 6513.724338762719526 1.189082501383308 6515.895942122760971 1.188336335912698 6518.068269471241365 1.187210546969228 6520.241321049541511 1.193782391415260 6522.415097099107697 1.192321128936094 6524.589597861468064 1.190082947294183 6526.764823578228970 1.186168653541044 6528.940774491094089 1.184017821004271 6531.117450841829850 1.188339279737278 6533.294852872289994 1.196687175255265 6535.472980824399201 1.196840870118269 6537.651834940187655 1.202364239388803 6539.831415461741926 1.199312571477487 6542.011722631237717 1.187171218248916 6544.192756690924398 1.183926941934143 6546.374517883154112 1.184083516798399 6548.557006450335393 1.191273093164098 6550.740222634969541 1.195453768760743 6552.924166679628797 1.189244718130697 6555.108838826986357 1.171652085654322 6557.294239319777262 1.151183418455326 6559.480368400823863 1.155628454812867 6561.667226313022184 1.167075009097590 6563.854813299371017 1.173297971195233 6566.043129602927365 1.177464275294327 6568.232175466838271 1.181861338587326 6570.421951134324445 1.182960375456299 6572.612456848707552 1.174998424568173 6574.803692853370194 1.172614355238518 6576.995659391783192 1.171086262955009 6579.188356707498315 1.167435938280910 6581.381785044142816 1.167296037752995 6583.575944645443087 1.176096470225875 6585.770835755188273 1.184153756570405 6587.966458617255739 1.186018238813727 6590.162813475595613 1.187160127981383 6592.359900574262610 1.181985522047545 6594.557720157368749 1.172283988698678 6596.756272469117903 1.163624488224065 6598.955557753786707 1.157778794833378 6601.155576255752749 1.141144168042059 6603.356328219455463 1.131839126022011 6605.557813889425233 1.148257329058913 6607.760033510262474 1.157944805097985 6609.962987326672192 1.169281064526556 6612.166675583421238 1.177517094711665 6614.371098525362868 1.170144421432317 6616.576256397426732 1.168961841864479 6618.782149444643437 1.159746094784769 6620.988777912106343 1.146380466886423 6623.196142044996122 1.156195194289622 6625.404242088567116 1.160978258450311 6627.613078288179167 1.159868880511086 6629.822650889252145 1.159417173343015 6632.032960137292321 1.155886985167917 6634.244006277883273 1.161899674434181 6636.455789556711352 1.153362963109992 6638.668310219522937 1.144870522663643 6640.881568512153535 1.137856921137065 6643.095564680520511 1.130718059500863 6645.310298970616714 1.125943366142818 6647.525771628537768 1.131255566725269 6649.741982900441144 1.143355182465462 6651.958933032570712 1.135112080077993 6654.176622271248561 1.129441056853204 6656.395050862898643 1.130970045344313 6658.614219054004934 1.132628563089277 6660.834127091142363 1.132824383990338 6663.054775220961346 1.131388602195275 6665.276163690213252 1.129277986913857 6667.498292745712206 1.131459762415853 6669.721162634361463 1.135264955858523 6671.944773603140675 1.125375979831088 6674.169125899130449 1.119082674391223 6676.394219769474148 1.120929375426248 6678.620055461404263 1.106054406403341 6680.846633222229684 1.109312227326920 6683.073953299362074 1.083161407144912 6685.302015940273122 1.064010659009719 6687.530821392526377 1.065389319589074 6689.760369903759965 1.067951547773761 6691.990661721714787 1.066050850038524 6694.221697094195406 1.073548288568135 6696.453476269092789 1.079210209332008 6698.685999494377029 1.078334516163960 6700.919267018118262 1.085232268203442 6703.153279088453019 1.085143289538703 6705.388035953602412 1.078312545896935 6707.623537861867590 1.070567179922536 6709.859785061650655 1.055291509329866 6712.096777801416465 1.044151969932328 6714.334516329719918 1.042221035471591 6716.573000895199584 1.046594353404162 6718.812231746567704 1.056666371802141 6721.052209132642020 1.065361069168423 6723.292933302302117 1.062052172930382 6725.534404504516715 1.059921995871137 6727.776622988332747 1.038714884899731 6730.019589002897192 1.036317366821442 6732.263302797424330 1.033123372691477 6734.507764621213937 1.028132722930284 6736.752974723644002 1.035257638794490 6738.998933354196197 1.029952885080379 6741.245640762414041 1.032718049852519 6743.493097197932912 1.022211584871404 6745.741302910461854 1.025180742739817 6747.990258149817237 1.032553844414331 6750.239963165873633 1.030402995226578 6752.490418208600204 1.028314350405646 6754.741623528039781 1.028963706042147 6756.993579374340698 1.027479933892509 6759.246285997713130 1.021073130680701 6761.499743648456388 1.013124558367630 6763.753952576949814 1.013861229285758 6766.008913033674617 1.007038409970001 6768.264625269173848 1.019851838105875 6770.521089534082421 1.021326562424646 6772.778306079112554 1.017975201869227 6775.036275155080148 1.025955584492294 6777.294997012862041 1.030041422618511 6779.554471903428748 1.025831109479514 6781.814700077825364 1.043257322369689 6784.075681787202484 1.038727418830347 6786.337417282774368 1.025582253830865 6788.599906815843497 1.016427908805736 6790.863150637797844 1.021282020054700 6793.127149000102690 1.027835885571502 6795.391902154326999 1.021008811026498 6797.657410352103398 1.028610615709616 6799.923673845153644 1.036477873354793 6802.190692885278622 1.006742779346931 6804.458467724383809 1.019338066147116 6806.726998614437434 1.026545371083948 6808.996285807497770 1.029095056941903 6811.266329555700395 1.023653288033544 6813.537130111288207 1.008900968614138 6815.808687726563221 0.982793447178396 6818.081002653921132 0.935882669025531 6820.354075145835850 0.881860139732007 6822.627905454883148 0.831460594524168 6824.902493833705194 0.791134137452629 6827.177840535034193 0.783731145233092 6829.453945811677841 0.788458611560332 6831.730809916552971 0.804085602771556 6834.008433102634626 0.843501229909395 6836.286815622994254 0.877893097753385 6838.565957730778791 0.903975926733281 6840.845859679238856 0.906531951080634 6843.126521721689642 0.898348684732554 6845.407944111539109 0.881416271945402 6847.690127102271617 0.888379635761634 6849.973070947477026 0.889398645331308 6852.256775900807042 0.888282866997679 6854.541242216009778 0.905816835701584 6856.826470146912470 0.909738086796673 6859.112459947422394 0.909132575347945 6861.399211871554144 0.922936669838053 6863.686726173382340 0.938168403581453 6865.975003107076191 0.949921753552131 6868.264042926882212 0.948990101855889 6870.553845887150601 0.963935406273663 6872.844412242298858 0.972713592635680 6875.135742246831796 0.958403891579963 6877.427836155337900 0.948125689726985 6879.720694222505699 0.943967080225839 6882.014316703091026 0.948208493602951 6884.308703851940663 0.944920358228892 6886.603855923980518 0.945153017641125 6888.899773174239272 0.949794231839918 6891.196455857814726 0.943632750787165 6893.493904229891086 0.946215093996019 6895.792118545735320 0.954674123605682 6898.091099060718079 0.952350197068449 6900.390846030274588 0.947951982685338 6902.691359709931930 0.944087891843971 6904.992640355296317 0.947610927580771 6907.294688222078548 0.953697490442108 6909.597503566055821 0.958329821487492 6911.901086643096278 0.956565896729311 6914.205437709146281 0.961330810779687 6916.510557020259512 0.971823678521292 6918.816444832552406 0.989771425512445 6921.123101402235079 0.986683842842769 6923.430526985595861 0.984381602302534 6925.738721839029495 0.984915351983063 6928.047686218995295 0.978214900608826 6930.357420382044438 0.976784672148348 6932.667924584813591 0.979589559561943 6934.979199084018546 0.983801468485600 6937.291244136482419 0.981071620385569 6939.604059999091987 0.976887265247981 6941.917646928825889 0.979369098620602 6944.232005182743706 0.968023256780840 6946.547135018008703 0.960386474367678 6948.863036691852358 0.967883917350512 6951.179710461595278 0.989079348626929 6953.497156584639924 1.006458776109087 6955.815375318494262 1.016991425886580 6958.134366920729917 1.018418657555547 6960.454131649014016 1.006939888461899 6962.774669761090991 0.986436086634509 6965.095981514810774 0.973318930197526 6967.418067168092421 0.974936177782936 6969.740926978944117 0.982974172871229 6972.064561205454083 0.989775411343379 6974.388970105818771 0.998024619582405 6976.714153938299205 0.999601168767347 6979.040112961247360 0.989070844595693 6981.366847433097064 0.979418772340816 6983.694357612388558 0.967105332257659 6986.022643757727565 0.953966078326072 6988.351706127810758 0.970661821598578 6990.681544981417574 0.987553116032902 6993.012160577432951 1.000038332360901 6995.343553174806402 0.993724389004117 6997.675723032582027 1.008289662830927 7000.008670409889419 1.024451043109156 7002.342395565938205 1.031032013287149 7004.676898760044423 1.013743718542723 7007.012180251592326 0.996271821420942 7009.348240300056204 0.982189957680694 7011.685079164990384 0.982677450429355 7014.022697106059240 0.994852328014217 7016.361094382990814 1.010518060776904 7018.700271255606822 1.010430245742261 7021.040227983808109 1.002511205761504 7023.380964827604657 1.002386055595431 7025.722482047071935 1.021770451455850 7028.064779902377268 1.021346912524766 7030.407858653768926 1.014084778720638 7032.751718561604321 1.003284688167160 7035.096359886304526 1.011666964836267 7037.441782888385205 1.022563076163821 7039.787987828442056 1.030106067119728 7042.134974967178096 1.022693029989574 7044.482744565363646 1.005571545622048 7046.831296883860887 1.002917068370606 7049.180632183613852 1.025115610098545 7051.530750725672988 1.022458821356704 7053.881652771156951 1.023359307531438 7056.233338581275348 1.030000350897578 7058.585808417321459 1.051188644230018 7060.939062540693158 1.055483422722773 7063.293101212857437 1.049148647443463 7065.647924695373149 1.033197692361373 7068.003533249881002 1.041163059498873 7070.359927138128114 1.050005155945556 7072.717106621930725 1.056603702594864 7075.075071963197843 1.053893130000416 7077.433823423923968 1.051893200907612 7079.793361266185457 1.047840439878159 7082.153685752168712 1.037713323381308 7084.514797144123804 1.042131692978671 7086.876695704398117 1.046621210141116 7089.239381695415432 1.049800593872475 7091.602855379712310 1.067490321261913 7093.967117019889884 1.070728994218091 7096.332166878642965 1.072896805020702 7098.698005218747312 1.093065904835202 7101.064632303089638 1.072971501144525 7103.432048394620324 1.064693477783682 7105.800253756386155 1.079316765603148 7108.169248651513044 1.106162134554814 7110.539033343238771 1.109690147150820 7112.909608094863870 1.098463993214769 7115.280973169785284 1.079825408849201 7117.653128831482718 1.076100640994565 7120.026075343541379 1.054784619413341 7122.399812969616505 1.014788006686354 7124.774341973456103 1.020605285830311 7127.149662618889124 1.006993551068363 7129.525775169854569 0.992320778457783 7131.902679890357831 0.997398342639754 7134.280377044499801 0.984429709050749 7136.658866896461404 0.974836309372816 7139.038149710533617 0.970355010569902 7141.418225751074715 0.964480394001008 7143.799095282536655 0.954827507315801 7146.180758569454156 0.949617502034028 7148.563215876471077 0.955516118114069 7150.946467468295850 0.967920861271947 7153.330513609736045 0.971289249532480 7155.715354565685629 0.971405266937257 7158.100990601118610 0.987447611987869 7160.487421981120860 0.998557027131660 7162.874648970843737 1.018993646296580 7165.262671835535002 1.052610835784638 7167.651490840524275 1.063196469580466 7170.041106251248493 1.063365087737082 7172.431518333213717 1.064976579136999 7174.822727352022412 1.083329593466587 7177.214733573356170 1.079916227271275 7179.607537263008453 1.054208161854592 7182.001138686839113 1.017578002657322 7184.395538110803500 1.016084627330643 7186.790735800938819 1.003898418676769 7189.186732023392324 0.992968938726208 7191.583527044379480 0.989748201813693 7193.981121130211250 1.029171103303857 7196.379514547277722 1.031503050259515 7198.778707562082673 1.018583554527745 7201.178700441196270 1.013344789859826 7203.579493451283270 1.017542533761659 7205.981086859093011 1.017037638347246 7208.383480931482154 1.013805516042204 7210.786675935376479 1.016524579069811 7213.190672137798174 1.022191705993134 7215.595469805849461 1.021182930293483 7218.001069206746251 1.011488520995664 7220.407470607769028 0.998217402371972 7222.814674276295591 0.983461643618411 7225.222680479793780 0.975117612461139 7227.631489485812381 0.978086011908435 7230.041101562010226 0.987488824157633 7232.451516976117091 0.999245964178422 7234.862735995954608 1.002000718846662 7237.274758889429904 0.981897748692684 7239.687585924559244 0.956455979034485 7242.101217369428014 0.954266263398425 7244.515653492218007 0.970235317049255 7246.930894561191053 0.993172034363977 7249.346940844723576 1.008410614517625 7251.763792611255667 0.998636059837884 7254.181450129328368 0.976315159607788 7256.599913667562760 0.986603877534332 7259.019183494690878 0.994071942706352 7261.439259879513884 0.989543804708886 7263.860143090928432 0.979464527114293 7266.281833397913942 1.005598992783649 7268.704331069563523 1.009973134832391 7271.127636375034854 1.001444723013142 7273.551749583584751 0.987087557831723 7275.976670964550067 0.995511212895915 7278.402400787383158 1.010088204229798 7280.828939321602775 1.017163742267729 7283.256286836822255 1.011077076978836 7285.684443602739520 0.995550342765948 7288.113409889166178 0.994266994890096 7290.543185965979319 0.995534455100255 7292.973772103154261 0.990346821110798 7295.405168570748174 0.946370557569244 7297.837375638931007 0.943202428799548 7300.270393577940922 0.944205537768291 7302.704222658113395 0.933964578178386 7305.138863149873032 0.949246439182747 7307.574315323729934 0.951233875069529 7310.010579450302430 0.942032649488458 7312.447655800280700 0.928583808811406 7314.885544644450420 0.964387369900111 7317.324246253680030 0.959293649533215 7319.763760898952569 0.950122781640915 7322.204088851317465 0.952819148183166 7324.645230381921465 0.963193534996734 7327.087185761995897 0.960415405786517 7329.529955262883050 0.948004095713174 7331.973539155996150 0.928208515871290 7334.417937712842104 0.906191873408157 7336.863151205016038 0.887802529603520 7339.309179904220400 0.896608976625543 7341.756024082231306 0.919099652636548 7344.203684010917641 0.891564646466902 7346.652159962236510 0.906894213631652 7349.101452208255068 0.920395332029900 7351.551561021108682 0.929079002136724 7354.002486673032763 0.941259451507742 7356.454229436343667 0.926047474520110 7358.906789583473255 0.929180528483342 7361.360167386920693 0.935940394604718 7363.814363119282461 0.923303447510398 7366.269377053240532 0.932278995839777 7368.725209461588747 0.916521766609987 7371.181860617190978 0.890429151337672 7373.639330793006593 0.868830702598473 7376.097620262081364 0.886051650977062 7378.556729297573838 0.877610423836766 7381.016658172709867 0.879774604160375 7383.477407160816256 0.892362693290530 7385.938976535308029 0.861759042225462 7388.401366569686616 0.849272954999015 7390.864577537565310 0.827058683004306 7393.328609712627440 0.800784409867788 7395.793463368653647 0.787017936580840 7398.259138779509158 0.789984675031561 7400.725636219171975 0.799152346337178 7403.192955961691951 0.804165653377254 7405.661098281214436 0.800282719405657 7408.130063451970273 0.808167543630936 7410.599851748303990 0.787553806711377 7413.070463444628331 0.782336728730862 7415.541898815456079 0.796618408942218 7418.014158135384605 0.808512963349241 7420.487241679123144 0.796064439734966 7422.961149721451875 0.787520722560509 7425.435882537249199 0.780085371994548 7427.911440401478103 0.771364307937162 7430.387823589216168 0.776823724434912 7432.865032375608280 0.779560022084186 7435.343067035900276 0.785618672659081 7437.821927845422579 0.784593597145860 7440.301615079618387 0.752733080914641 7442.782129014001839 0.750799830537249 7445.263469924184392 0.754043205326995 7447.745638085863902 0.757889352503994 7450.228633774851914 0.762572674200191 7452.712457267029095 0.782470840966759 7455.197108838375243 0.805622111363674 7457.682588764963839 0.801747637343205 7460.168897322952034 0.788890114874965 7462.656034788609759 0.796246370618070 7465.144001438279702 0.821936961018934 7467.632797548400958 0.828115170182700 7470.122423395500846 0.813156758532137 7472.612879256217639 0.792986876714954 7475.104165407263281 0.797479734062792 7477.596282125445214 0.797298433500601 7480.089229687659099 0.804519388646276 7482.583008370913376 0.814687250727864 7485.077618452287425 0.821324858575853 7487.573060208959760 0.813973834583356 7490.069333918195298 0.836107757735137 7492.566439857371734 0.849988174949538 7495.064378303937701 0.863525096669723 7497.563149535442790 0.878490764884962 7500.062753829520261 0.879501113469578 7502.563191463918884 0.873132907576438 7505.064462716457456 0.877979602177496 7507.566567865054822 0.892851944985946 7510.069507187716226 0.908353228547930 7512.573280962559693 0.900723290993449 7515.077889467776004 0.930235463457102 7517.583332981654166 0.956312645318199 7520.089611782569591 0.959432291310669 7522.596726149012284 0.939081772851794 7525.104676359544101 0.926252811914027 7527.613462692825124 0.931560168720417 7530.123085427601836 0.937524848037302 7532.633544842737138 0.928354808112589 7535.144841217163048 0.903948660557687 7537.656974829912542 0.881125142953628 7540.169945960111363 0.810198253646636 7542.683754886969837 0.675468701542337 7545.198401889818342 0.546157534274309 7547.713887248050924 0.441979196127121 7550.230211241168945 0.352404516398168 7552.747374148753806 0.294818955766217 7555.265376250507870 0.287243985638943 7557.784217826199892 0.309270968269457 7560.303899155701401 0.369346306603541 7562.824420518969418 0.471595479212869 7565.345782196078289 0.589110144442554 7567.867984467170572 0.633070726800624 7570.391027612490689 0.630812656844091 7572.914911912369462 0.604491654809120 7575.439637647254131 0.571142492189989 7577.965205097661965 0.542461395846994 7580.491614544212098 0.545103602304106 7583.018866267607336 0.571973112538074 7585.546960548670540 0.583513086846297 7588.075897668291873 0.613729833515108 7590.605677907466088 0.673653795549377 7593.136301547270705 0.679493918511625 7595.667768868903295 0.716179079898592 7598.200080153627823 0.761174132905260 7600.733235682813756 0.794760801941310 7603.267235737915144 0.818356577773352 7605.802080600502450 0.845126661454749 7608.337770552217989 0.886322027419891 7610.874305874805032 0.931746065631380 7613.411686850092337 0.965526329540778 7615.949913760026902 0.972735225663599 7618.488986886626662 0.964365259648109 7621.028906512010508 0.965217117843537 7623.569672918391916 0.982618311429399 7626.111286388069857 0.995234287121479 7628.653747203462444 1.028085506579733 7631.197055647056914 1.045271706671746 7633.741212001443273 1.043501266393601 7636.286216549297933 1.039867198189502 7638.832069573414628 1.036821072142725 7641.378771356657126 1.056129356852790 7643.926322181993783 1.103901850118340 7646.474722332477540 1.097701893256343 7649.023972091278665 1.063652728797601 7651.574071741641092 1.054159575784612 7654.125021566907890 1.067210229870604 7656.676821850510350 1.090922147098629 7659.229472875997089 1.137527334809159 7661.782974926989482 1.142376199569143 7664.337328287208948 1.120091461148565 7666.892533240465127 1.106229385703150 7669.448590070684986 1.112378947570778 7672.005499061867340 1.059754178328363 7674.563260498112868 1.057769146715982 7677.121874663609560 1.071159708770595 7679.681341842663642 1.113333054004607 7682.241662319653187 1.152119502683415 7684.802836379056316 1.163407098993112 7687.364864305442097 1.165172940495364 7689.927746383495105 1.204606555122112 7692.491482897972674 1.180357777657302 7695.056074133733091 1.178493159842916 7697.621520375732871 1.189256924565811 7700.187821909012200 1.197728217501093 7702.754979018732229 1.191077335380955 7705.322991990124137 1.166548103530160 7707.891861108523699 1.151906295207417 7710.461586659352179 1.169266488038294 7713.032168928149986 1.164510977903129 7715.603608200530289 1.184036329107286 7718.175904762208120 1.226571341871017 7720.749058898986732 1.267120567619142 7723.323070896788522 1.274967498897283 7725.897941041605009 1.233297286498136 7728.473669619534121 1.212659685237864 7731.050256916761100 1.250826722764156 7733.627703219586692 1.269016582098297 7736.206008814388042 1.279677181064466 7738.785173987642338 1.260573192169934 7741.365199025915899 1.230783226203449 7743.946084215894189 1.240831577055485 7746.527829844334519 1.260928733080726 7749.110436198096977 1.266039966782964 7751.693903564130778 1.298498465534839 7754.278232229502464 1.298763672219350 7756.863422481353155 1.295261327786480 7759.449474606924923 1.276691010912229 7762.036388893548974 1.251633413649218 7764.624165628676565 1.243118899116230 7767.212805099831712 1.241760954583114 7769.802307594638478 1.238572807529255 7772.392673400813692 1.225491178207615 7774.983902806190599 1.224903614293209 7777.575996098676114 1.265097533979075 7780.168953566279924 1.305946105231857 7782.762775497109033 1.337785521046813 7785.357462179357753 1.352954627839957 7787.953013901339546 1.340386890785037 7790.549430951443355 1.311158729297290 7793.146713618157264 1.276464703676079 7795.744862190063031 1.296541661507774 7798.343876955857013 1.325279008542809 7800.943758204312871 1.349748272711495 7803.544506224305223 1.350754866303516 7806.146121304798726 1.353598481375360 7808.748603734876269 1.375002078113691 7811.351953803696233 1.385173996839883 7813.956171800519769 1.365706970134538 7816.561258014694431 1.368299137395847 7819.167212735692374 1.385529129979916 7821.774036253054874 1.360049413954405 7824.381728856430527 1.380407321655135 7826.990290835552514 1.374945535649567 7829.599722480279524 1.385369361512492 7832.210024080538460 1.367649159600428 7834.821195926364453 1.346287156901252 7837.433238307878128 1.366644915313804 7840.046151515323800 1.378599267365524 7842.659935839016725 1.368789546689361 7845.274591569376753 1.439445188373478 7847.890118996913770 1.456584192185383 7850.506518412257719 1.419746854398404 7853.123790106112210 1.383972793118776 7855.741934369284536 1.400610267225113 7858.360951492680215 1.402658846450347 7860.980841767292077 1.330832409237611 7863.601605484236643 1.315450609611814 7866.223242934700465 1.355995121932531 7868.845754409977417 1.371350377696775 7871.469140201449591 1.381193501851176 7874.093400600620043 1.409030670330657 7876.718535899064591 1.429678115684087 7879.344546388466370 1.433411443443541 7881.971432360595827 1.378360087573364 7884.599194107344374 1.385882319771286 7887.227831920678000 1.413442727511143 7889.857346092668195 1.441376066553802 7892.487736915474670 1.503818911851187 7895.119004681379010 1.502457579925819 7897.751149682737378 1.429572817302292 7900.384172212007797 1.389202044764748 7903.018072561742883 1.364361831904367 7905.652851024613483 1.369649551198195 7908.288507893364113 1.407891843391463 7910.925043460845700 1.377390612126751 7913.562458019999212 1.376136285081014 7916.200751863886580 1.397505734167941 7918.839925285643403 1.392863876347937 7921.479978578511691 1.408129172553046 7924.120912035820766 1.384926294180270 7926.762725951026368 1.368062332783623 7929.405420617653363 1.368427757152256 7932.048996329335750 1.330175904136485 7934.693453379795756 1.366515361454337 7937.338792062877474 1.320533551804295 7939.985012672499579 1.327605703601476 7942.632115502687157 1.364995108779660 7945.280100847562608 1.394834820149411 7947.928969001338373 1.356469470435627 7950.578720258348767 1.311090699759736 7953.229354913002680 1.350607021675678 7955.880873259816326 1.342256979472150 7958.533275593393228 1.313056680153747 7961.186562208460600 1.302140924866603 7963.840733399822057 1.248786447223207 7966.495789462383982 1.275864355578954 7969.151730691144621 1.275896404272360 7971.808557381225000 1.274743386539585 7974.466269827819815 1.255122782815272 7977.124868326231081 1.277336979060137 7979.784353171849943 1.284861500830067 7982.444724660190332 1.307965138801203 7985.105983086842571 1.265074479868984 7987.768128747500668 1.227262687100331 7990.431161937951401 1.193922581880960 7993.095082954102509 1.162630252085794 7995.759892091938127 1.172071844250016 7998.425589647546985 1.214520153384710 8001.092175917111490 1.213886375691538 8003.759651196933191 1.145428410389144 8006.428015783391857 1.132166245423998 8009.097269972970935 1.138155464769644 8011.767414062247553 1.090332960845390 8014.438448347918893 1.031955661857041 8017.110373126760351 1.018595437057821 8019.783188695651006 1.075175645416433 8022.456895351562707 1.097397631888757 8025.131493391590084 1.086634760377818 8027.806983112903254 1.015460848603029 8030.483364812778746 0.986147207533266 8033.160638788591314 1.000484173014147 8035.838805337808481 0.956862401415658 8038.517864758019641 0.948347423804816 8041.197817346891497 0.915048164822347 8043.878663402196253 0.917116234813764 8046.560403221796150 0.946187173594923 8049.243037103679853 0.952553132830658 8051.926565345908784 0.964089091225347 8054.610988246654415 0.972726303895220 8057.296306104175528 0.996172702603139 8059.982519216859146 0.957349010519257 8062.669627883163230 0.914120551120452 8065.357632401657611 0.893883467355814 8068.046533070999430 0.887721703477656 8070.736330189972250 0.865519852539977 8073.427024057435119 0.862077700323433 8076.118614972353498 0.917384632662773 8078.811103233784706 0.940167480636978 8081.504489140910664 0.878772650222277 8084.198772992987870 0.840986158182361 8086.893955089381052 0.795179959598290 8089.590035729547708 0.805201130918091 8092.287015213068116 0.791984963557943 8094.984893839598044 0.781013338018312 8097.683671908903307 0.746546447516043 8100.383349720837941 0.731045792395616 8103.083927575384223 0.730255416147111 8105.785405772597187 0.737912285459635 8108.487784612641008 0.757996291424885 8111.191064395780813 0.721051514120832 8113.895245422372682 0.760015276653858 8116.600327992896382 0.764003001513621 8119.306312407909900 0.699230930197391 8122.013198968077631 0.701301949003097 8124.720987974155832 0.672207318245975 8127.429679727028088 0.708873044274154 8130.139274527649832 0.758937116959628 8132.849772677089277 0.754050118905917 8135.561174476502856 0.756429519349498 8138.273480227175241 0.742242240291837 8140.986690230463864 0.718998304583382 8143.700804787838933 0.706124498705352 8146.415824200857969 0.680597072273089 8149.131748771207640 0.692208571391626 8151.848578800649193 0.671889652071845 8154.566314591052105 0.734935030080902 8157.284956444379532 0.719650305337368 8160.004504662718318 0.639558581623975 8162.724959548232619 0.648393988721488 8165.446321403195725 0.601034902060665 8168.168590529971880 0.550898395468647 8170.891767231052654 0.572276479976868 8173.615851809005107 0.621006475490051 8176.340844566505439 0.654156428578583 8179.066745806320796 0.622418339706065 8181.793555831347476 0.635191685021113 8184.521274944555444 0.697122675733080 8187.249903449024714 0.713616011032698 8189.979441647928070 0.679615829920438 8192.709889844563804 0.674113394531702 8195.441248342305698 0.709203512000896 8198.173517444640311 0.668192011296604 8200.906697455151516 0.651558531016128 8203.640788677519595 0.610984347460849 8206.375791415544882 0.696924060711233 8209.111705973113203 0.730633463396693 8211.848532654212249 0.724531921040049 8214.586271762926117 0.646602636187787 8217.324923603464413 0.635906457213896 8220.064488480114960 0.690326509232857 8222.804966697271084 0.654066910822556 8225.546358559424334 0.576550410490989 8228.288664371189952 0.708981109458631 8231.031884437259578 0.701586034577506 8233.776019062435807 0.744429983292341 8236.521068551614007 0.738148174505358 8239.267033209818692 0.713898041510009 8242.013913342145315 0.726546893534382 8244.761709253803929 0.737699431354007 8247.510421250097352 0.737529640425389 8250.260049636453914 0.723354492103614 8253.010594718380162 0.745717457558908 8255.762056801491781 0.781526298665197 8258.514436191500863 0.752567704922459 8261.267733194239554 0.771423947302084 8264.021948115623672 0.811460962926245 8266.777081261678177 0.759376426920665 8269.533132938520794 0.733898523677195 8272.290103452392941 0.733086925236399 8275.047993109619711 0.744058968828537 8277.806802216631695 0.829025569754135 8280.566531079954075 0.845447709833481 8283.327180006242997 0.984232103341570 8286.088749302225551 1.051357400244474 8288.851239274745240 1.050394004805862 8291.614650230745610 1.024814649753214 8294.378982477261161 0.996324703668549 8297.144236321459175 1.013793320189531 8299.910412070579696 0.938328271187588 8302.677510031977363 0.881729529773061 8305.445530513099584 1.074501233016971 8308.214473821519277 1.043658565343138 8310.984340264887578 1.096627378758476 8313.755130150970217 1.083257527005976 8316.526843787623875 1.017399903380515 8319.299481482830743 1.148532638312562 8322.073043544656684 1.217398387471573 8324.847530281273066 1.278001374858232 8327.622942000949479 1.237760081205291 8330.399279012079205 1.150036843162647 8333.176541623139201 1.196344213284380 8335.954730142711924 1.265151797052066 8338.733844879476237 1.369019700619729 8341.513886142240153 1.339564172672092 8344.294854239889901 1.397281626658181 8347.076749481420848 1.488813319229806 8349.859572175922949 1.413301765654017 8352.643322632618947 1.416121879919855 8355.428001160802523 1.370515218428321 8358.213608069883776 1.481518510301864 8361.000143669365571 1.584707848265412 8363.787608268879922 1.519565020207484 8366.576002178138879 1.612142547501155 8369.365325706961812 1.555300835515094 8372.155579165273593 1.485006262169519 8374.946762863093682 1.601749382864279 8377.738877110572503 1.553814722177837 8380.531922217933243 1.522220804935700 8383.325898495517322 1.689469252775813 8386.120806253757110 1.610159017700972 8388.916645803214124 1.553976640481303