xdata <-
c(-6.45965312197249, -5.62444983685712, -5.39342099859383, -5.06113149919158, 
-4.8464646441422, -4.78392986764188, -4.25975244094558, -4.06996911800987, 
-3.93486139332095, -3.7111336046592, -3.70600864490727, -3.57273586632168, 
-3.52858748079693, -3.47695277530274, -3.24426582100273, -3.16781555099373, 
-3.13399547321682, -3.08573741468118, -3.06929808021358, -2.99171546535249, 
-2.94825541211252, -2.92296596535218, -2.86287055147772, -2.850236646663, 
-2.82636084390764, -2.80672980828171, -2.77267998387059, -2.68469353420441, 
-2.60192930499527, -2.55402284519759, -2.48770824890332, -2.47738205492425, 
-2.47187865143744, -2.39166251512210, -2.37168130456917, -2.36812523926113, 
-2.33724386713216, -2.31532977322552, -2.29747943869076, -2.28411114575957, 
-2.267804946986, -2.26454615394089, -2.24218011448596, -2.22830870575063, 
-2.22470465641397, -2.13743386591289, -2.12344898288957, -2.11889129378646, 
-2.09414536263822, -2.09009577944784, -2.05919933063716, -2.03212642102482, 
-2.01513917922022, -1.97978547824492, -1.97450302591226, -1.96312121623363, 
-1.94184632457314, -1.93241941932291, -1.84640981956348, -1.83807778163793, 
-1.80958648551732, -1.80035079619710, -1.77284530169311, -1.77055626540425, 
-1.74261326192986, -1.72284690282288, -1.71742626679070, -1.67767337829126, 
-1.66810980244520, -1.66133642158624, -1.65168338074329, -1.64891715700536, 
-1.64114352120998, -1.63514080821517, -1.62245457062172, -1.61655709994750, 
-1.60157799153569, -1.57922797735624, -1.57153318441453, -1.56472652583363, 
-1.55897794467258, -1.54484455547138, -1.54009672360311, -1.51500241450014, 
-1.47201636983993, -1.46684514399337, -1.46159378639049, -1.4407896752769, 
-1.43554227150780, -1.43542694569239, -1.43223291148804, -1.43018196974526, 
-1.41857528998824, -1.38654378997442, -1.34440453625740, -1.30512329931827, 
-1.28621918517621, -1.26797779334214, -1.25950186436003, -1.25345606275577, 
-1.25256253144528, -1.24507494639130, -1.21825782468978, -1.19604922956694, 
-1.17690358805110, -1.17140088039906, -1.16163544632019, -1.14565638692782, 
-1.12614947553248, -1.11443699544929, -1.10779550811343, -1.08559165202515, 
-1.06454982185460, -1.06120080383297, -1.06109797576326, -1.05472822762550, 
-1.05463011129460, -1.02753258716535, -1.02553024926363, -1.01566942681705, 
-1.01243863360257, -1.01077344825497, -0.991829963088173, -0.991447771857393, 
-0.983494832138431, -0.966179330791247, -0.934348723809135, -0.932689985188087, 
-0.92051101277539, -0.917209531138551, -0.911847662972892, -0.903466609264624, 
-0.898480763616872, -0.879210252264412, -0.854648195996311, -0.851059855650203, 
-0.849868313635254, -0.849261189768923, -0.845215839291823, -0.840852505379703, 
-0.836919738869083, -0.833091714198974, -0.832982476899569, -0.809484982999826, 
-0.808972760992956, -0.80355275937201, -0.796398239659104, -0.780409537130884, 
-0.779912308773914, -0.77728784732045, -0.774153110529196, -0.772001523819981, 
-0.737921648625846, -0.712654098683129, -0.703761485363257, -0.697053921443718, 
-0.694377007640916, -0.687026492976892, -0.682050659321249, -0.678076778538525, 
-0.677926925010979, -0.664999847489433, -0.659246725907087, -0.65397113095969, 
-0.607847311579249, -0.601759222801775, -0.591378515011177, -0.575908660423011, 
-0.565206490457058, -0.562712990678847, -0.560074266971616, -0.542574855753461, 
-0.52628749422729, -0.522344741504639, -0.497044977162757, -0.488203218206763, 
-0.481399145544623, -0.479363254603641, -0.471903380017891, -0.467775332095031, 
-0.465540999546647, -0.461436413694173, -0.458715894151228, -0.439358433242887, 
-0.436016671738387, -0.423224741278222, -0.411380232179313, -0.40127646131441, 
-0.401229500770569, -0.401128125842661, -0.388988301251700, -0.376251201145351, 
-0.369470962323248, -0.368136278770638, -0.346214434724923, -0.343328271526843, 
-0.331856346580823, -0.331359700422108, -0.313258961386105, -0.280065677128732, 
-0.275348937624520, -0.274069801904261, -0.272448187693954, -0.262810128689174, 
-0.254147748996258, -0.249971564339503, -0.239116995343670, -0.238554975907258, 
-0.237910737749189, -0.231419307639613, -0.212789408396930, -0.212165083736181, 
-0.208461018541581, -0.203231726773083, -0.200266900049692, -0.195332810068071, 
-0.187836864817504, -0.17631642848788, -0.160048530437052, -0.158797339536250, 
-0.155580422375351, -0.147682765964419, -0.146376544666439, -0.140422432943301, 
-0.139893016355186, -0.139359800254482, -0.128806997556239, -0.106537367682904, 
-0.102199849505525, -0.0987204378470778, -0.0986826733757011, 
-0.0973062418765063, -0.0866835047490895, -0.0814283462241292, 
-0.081005115993321, -0.0727852306464767, -0.0662047751247883, 
-0.0645015166712552, -0.0429701344110072, -0.034445783123374, 
-0.032505429815501, -0.0289115740651633, -0.0247123446315527, 
-0.0235630451710936, -0.02130385953933, -0.0132083485175005, 
-0.0088643585331738, 0.00168855201673921, 0.00492072012275457, 
0.00770083002599197, 0.00834404509083832, 0.0108125644410035, 
0.0113971330770471, 0.0124562204282788, 0.0133660209321769, 0.0154162584803998, 
0.0163081878932478, 0.0187454347541228, 0.0202280735657217, 0.0246943738710623, 
0.0292049688869437, 0.0296803582473915, 0.0297766047768981, 0.0299792752639629, 
0.0300461368216605, 0.0338507881388068, 0.0402168244231524, 0.0456735697009566, 
0.0494627061918645, 0.0499114875356934, 0.0520968629124905, 0.0536991294286573, 
0.0573019418628137, 0.0579696391928821, 0.0593099602282641, 0.0599758218282677, 
0.06549681598952, 0.06564192560608, 0.0715033914367457, 0.0717919651588181, 
0.0749313540109108, 0.0752492071286355, 0.0806041627296905, 0.081989984466599, 
0.0830398440806951, 0.0836030812934041, 0.084052092717861, 0.087192200589925, 
0.0894498955458403, 0.0916957533922658, 0.0951640927738427, 0.0960557478884085, 
0.101625005576489, 0.103049337863922, 0.103194839321077, 0.11215762142092, 
0.116574353703277, 0.116970227580590, 0.118165681138635, 0.119752123020589, 
0.120717291775952, 0.123695125817826, 0.125000469263608, 0.125968197895539, 
0.126776727366429, 0.126877050002127, 0.131453569047153, 0.136826259525252, 
0.137111141055372, 0.137886282987893, 0.138150402394568, 0.144619091124698, 
0.145517545864496, 0.146854700610483, 0.147326359942789, 0.149542582670122, 
0.150811813128220, 0.150894314068985, 0.152162070637918, 0.152863342072474, 
0.152964913869008, 0.153661224786948, 0.154914402680373, 0.155254594994602, 
0.158576461486518, 0.158900763132193, 0.159288699738681, 0.159793732978626, 
0.160321685566254, 0.164362705609389, 0.166681146802519, 0.174769212026149, 
0.174782752009682, 0.176873937462883, 0.182088910136372, 0.185360596033683, 
0.186215818512576, 0.192647773159803, 0.196697343600698, 0.199423033005861, 
0.202056540101612, 0.202141603389303, 0.208687288446639, 0.211114679806945, 
0.214847851733515, 0.214932966227037, 0.215228607149495, 0.216368286822405, 
0.216591371437630, 0.216623301844913, 0.220119760475283, 0.223347223829478, 
0.224918886228011, 0.226207297760993, 0.227237333544992, 0.228875514699184, 
0.229456983554151, 0.232831906132338, 0.233237990773839, 0.234019844261598, 
0.236461273184836, 0.236777148751269, 0.239628936912662, 0.240050993095787, 
0.241540734907694, 0.244950161558819, 0.245388871051815, 0.247731971554458, 
0.249111239332706, 0.249926216827483, 0.250956162674669, 0.252514902914348, 
0.254188352237281, 0.254424876596580, 0.259083342272788, 0.263357913955701, 
0.264990852577835, 0.27109225879885, 0.275220593172716, 0.278002296540066, 
0.279979981405881, 0.281673500049211, 0.281917751655241, 0.282093903489167, 
0.283777357037631, 0.285053837794038, 0.285960115922206, 0.289628233782703, 
0.290586900897268, 0.291162598413728, 0.293800608720630, 0.294200333082886, 
0.295530723089615, 0.296217131609763, 0.296715287026018, 0.296765837819632, 
0.299826312365245, 0.301220542090548, 0.301366508955010, 0.30175015124638, 
0.303309089511266, 0.304968911599204, 0.311975935382071, 0.312443822452280, 
0.312969172282961, 0.315258036861715, 0.315584449056304, 0.31584559405872, 
0.315977011574691, 0.317271207291198, 0.319509801940044, 0.322062783055916, 
0.322796848881345, 0.322816441785448, 0.328156121399187, 0.330571220080207, 
0.33327561604844, 0.337752099215234, 0.338197884155921, 0.339124077007571, 
0.340242947815847, 0.340640269626361, 0.341420612763613, 0.343830496761133, 
0.343856791471691, 0.349405714911186, 0.351005660835548, 0.351889248295465, 
0.35485755311236, 0.355640845715133, 0.356687697112426, 0.358502116985619, 
0.359441674891620, 0.362230324360209, 0.364813136735083, 0.365247062011243, 
0.366797345832665, 0.366838115848286, 0.367141088812951, 0.36720245119499, 
0.367215273806934, 0.368193724094948, 0.372293748793832, 0.373245270848662, 
0.374341422077188, 0.374605948257387, 0.377244111616164, 0.377433594840394, 
0.378019717521966, 0.384690268423439, 0.385114340467635, 0.386734747171860, 
0.388184658862210, 0.392758235788643, 0.394273811323453, 0.394583081149224, 
0.395038830998791, 0.397173786559892, 0.398056342214958, 0.39929589756471, 
0.400502701597011, 0.400897696379758, 0.403148968392194, 0.403555976848694, 
0.40693325971739, 0.406940568454878, 0.407558617182076, 0.408972324871287, 
0.410868034232408, 0.413131750180134, 0.413651177885516, 0.414590588334149, 
0.414928040292648, 0.415472733717242, 0.416569291339163, 0.417240240067486, 
0.425042733239352, 0.428823155742022, 0.430495818251225, 0.430954914010384, 
0.433512981194632, 0.437224962282926, 0.437726196867238, 0.439535144923605, 
0.44099170807749, 0.446483915992201, 0.446832750989431, 0.446927618844431, 
0.452379362551733, 0.45260424586013, 0.453383325315917, 0.456582002105853, 
0.457345732353722, 0.458695628185548, 0.458922026339324, 0.459087170660496, 
0.459282792744535, 0.459941269380514, 0.460542143497833, 0.461034011548034, 
0.461393154226243, 0.465827992101078, 0.467275284413614, 0.467956958338618, 
0.469543932005763, 0.472421213878351, 0.474051397827839, 0.474252909629671, 
0.474731172715493, 0.474984931145316, 0.476633741839998, 0.478205704214315, 
0.479098408039344, 0.479283083033341, 0.480230090956760, 0.484236846677959, 
0.485789477371648, 0.486788589507341, 0.487881382027301, 0.491936048492789, 
0.492159209849372, 0.494967439211905, 0.495853026171234, 0.497334439824358, 
0.500464461876493, 0.500543622630566, 0.500972812529653, 0.504326339721789, 
0.504379585385323, 0.504474880674206, 0.506318932330468, 0.507061284535489, 
0.509350602950575, 0.510470808271229, 0.512602685467103, 0.518355812353391, 
0.519147157502831, 0.520077593209114, 0.520146116418686, 0.520838445139961, 
0.525148240105856, 0.52743082633242, 0.528289197920211, 0.528540955443756, 
0.529925575289118, 0.529945036404332, 0.532029116907843, 0.535255904951752, 
0.53780728783055, 0.539281593061357, 0.5409588387789, 0.542362249511893, 
0.543310897094448, 0.547830788819735, 0.548246269114316, 0.548397858296548, 
0.548594219445627, 0.549081513289653, 0.552023181294305, 0.552789315580083, 
0.55329424214191, 0.557162630553357, 0.558329866296647, 0.559057144364022, 
0.559890131787592, 0.560103762161047, 0.560217736982625, 0.560579324482911, 
0.561775190290064, 0.562028311322243, 0.563031565032712, 0.56654063006863, 
0.568560220749643, 0.571698269647978, 0.573817101939455, 0.575331902254496, 
0.576362980492414, 0.576829725971707, 0.577370157534843, 0.578594079881825, 
0.578782715834677, 0.581400234046009, 0.585154619905991, 0.587196892389477, 
0.588378948884407, 0.589144303580246, 0.589393347515954, 0.592578122518391, 
0.594667565596161, 0.596448792938481, 0.597654065712668, 0.598114522516267, 
0.601405112571188, 0.601903386343152, 0.602124221552557, 0.603100639020152, 
0.604947179959721, 0.605059074510791, 0.606421550325356, 0.608145963405289, 
0.610525743804587, 0.611349897253157, 0.611406738893534, 0.611863785423338, 
0.612248997917068, 0.615086568487756, 0.617856631840503, 0.618635449274258, 
0.620573105756193, 0.622290410474431, 0.627978186808277, 0.628654749132693, 
0.628830311787028, 0.630031207576394, 0.632025409540759, 0.632409725068081, 
0.634012619677452, 0.637461166595783, 0.637683694382106, 0.639519239310175, 
0.643387563930504, 0.646883394914427, 0.649365210496249, 0.651531100658824, 
0.65443314209457, 0.655784215312451, 0.656495402428628, 0.661441848115533, 
0.663588236097565, 0.663738430773418, 0.665585345715013, 0.665664960994219, 
0.667320512357861, 0.66859650772983, 0.668640798565083, 0.670134520623833, 
0.670646516964331, 0.673367930502107, 0.67406234335211, 0.674596525728703, 
0.674923141224202, 0.674980055512146, 0.675875187385827, 0.679526223634956, 
0.679562061675705, 0.681019407110804, 0.681507219299952, 0.68360386376379, 
0.684055769425192, 0.684876325098473, 0.685547263607706, 0.690659928135574, 
0.690716516189824, 0.694236948589835, 0.696176769866913, 0.697351908036582, 
0.697775599036681, 0.699046923322698, 0.699577334368265, 0.699891294592122, 
0.700924855127879, 0.702289640550581, 0.703828852841993, 0.706872543130131, 
0.70951207980563, 0.709764365968062, 0.710780387322391, 0.714606649070697, 
0.715064940264796, 0.715289796811761, 0.721564740954854, 0.722358620525395, 
0.727790355635694, 0.733707788805768, 0.737499892308581, 0.745404736666413, 
0.746073633351192, 0.748091686652315, 0.751458571492535, 0.753629128698929, 
0.754547556478917, 0.758890490779956, 0.761858974021346, 0.7650329009428, 
0.768434458635131, 0.771929606269508, 0.772101910126084, 0.77371080308677, 
0.774045612761307, 0.774081246704293, 0.774811148154538, 0.779700522289771, 
0.780296811339155, 0.782462674240729, 0.782770816416855, 0.782874623474557, 
0.783099420128533, 0.783912720526029, 0.784595445634417, 0.785717020372656, 
0.789965356491349, 0.792181529854853, 0.793255740382713, 0.797534046866917, 
0.799586310940695, 0.80097912385292, 0.801549891501157, 0.808910393796807, 
0.810113035886727, 0.812350174063751, 0.813101299996388, 0.81448461374, 
0.817308696642996, 0.822110242659669, 0.822813739691637, 0.82454852748389, 
0.82970675513387, 0.830991024918844, 0.831367403474644, 0.837930978312808, 
0.840889268492402, 0.843133543275756, 0.843362230344753, 0.843644439462742, 
0.844631501442734, 0.844959320890906, 0.854941160376084, 0.860673354553995, 
0.862362336451782, 0.863977771273727, 0.86422458982957, 0.866297642697959, 
0.869941605946292, 0.870648293486495, 0.872410701471624, 0.87397344163183, 
0.874963055558119, 0.876730821242344, 0.87807910535067, 0.87857198212604, 
0.879821561491995, 0.881142306164416, 0.885764158539185, 0.890114571662894, 
0.891980080695364, 0.894366382405017, 0.900252710266819, 0.904238989813393, 
0.907999705481243, 0.909094271475336, 0.91025721508972, 0.91239849356131, 
0.915338298220975, 0.922126814742258, 0.923799427184177, 0.924335497436682, 
0.92452117159609, 0.924997431250607, 0.936757703232852, 0.943836385374158, 
0.945144970718288, 0.95100970402193, 0.958427598939873, 0.960415493824975, 
0.96393425201066, 0.972014662346656, 0.972291574057074, 0.974805485276911, 
0.983167427240565, 0.98439367837827, 0.985561475831174, 0.994107713313606, 
0.998091874602151, 0.99892494963238, 1.01008511825445, 1.01158551425348, 
1.01289100521596, 1.01994749806346, 1.02407908714832, 1.02581774439668, 
1.02907640283244, 1.04048571323523, 1.04643775052847, 1.04717193247943, 
1.04792816094579, 1.05618219995103, 1.06637569451787, 1.06706893458643, 
1.06708014237433, 1.06853451259971, 1.07246712792060, 1.08104077163608, 
1.08488418626212, 1.09034835147878, 1.09134264781383, 1.09235104590359, 
1.10731744441021, 1.10951771674882, 1.1170269172814, 1.11891471333845, 
1.12377258324356, 1.13080365765364, 1.13552356850981, 1.13667179115584, 
1.15665354348420, 1.16373521914248, 1.16665979975924, 1.17836914855446, 
1.19531438307080, 1.20421424064582, 1.20476005886039, 1.20517094363648, 
1.20820656936624, 1.21268648929418, 1.22575867930182, 1.22610996395391, 
1.2311067045664, 1.23720470532299, 1.23870559367695, 1.25625725566554, 
1.26976238737373, 1.28173270893568, 1.29286585957268, 1.29328128389830, 
1.29573889957811, 1.29659400689871, 1.29841750204088, 1.29941193972832, 
1.29967651418866, 1.30157042383672, 1.30625685356040, 1.31099915909164, 
1.31185508765467, 1.31766415662588, 1.32528241811781, 1.32581157487863, 
1.32653705585272, 1.33153400554781, 1.33860755393555, 1.36761594447014, 
1.38171031228722, 1.38824808287294, 1.41427794629758, 1.41987002064283, 
1.43449360483137, 1.43923805170216, 1.44316334867435, 1.44384494945587, 
1.44507189459147, 1.45475028338921, 1.47530376055007, 1.47554973690751, 
1.48320409986826, 1.48700880031372, 1.50045531404823, 1.51215536950594, 
1.53196810939033, 1.53841810335662, 1.54142635673020, 1.54197022682967, 
1.55218170497468, 1.55256386837902, 1.56333672553134, 1.56344804986159, 
1.56392510237097, 1.56822207241877, 1.56823094605821, 1.56853107354584, 
1.57479002120623, 1.58547946988585, 1.61106669149342, 1.64025374004776, 
1.65011147368454, 1.65040248114609, 1.65571830576269, 1.67431665133222, 
1.68125890745761, 1.69757489459487, 1.70750108306669, 1.71604907711237, 
1.76386159831732, 1.76436152019213, 1.77574688239981, 1.77944584348467, 
1.78982006256231, 1.79020785777319, 1.82540472817636, 1.82973602591994, 
1.84753881326994, 1.85125589932940, 1.86827929102562, 1.87574996790829, 
1.89359674091945, 1.89866593471708, 1.91561459802523, 1.92312146528604, 
1.92585867439554, 1.95809782214533, 1.98036209087388, 1.98093840285184, 
1.98491695887389, 2.00466673223366, 2.04522193214836, 2.0860504947173, 
2.08631778309557, 2.09039132428284, 2.10510594943974, 2.12852889826904, 
2.12920620649710, 2.14644261623237, 2.15615914982385, 2.16995922752495, 
2.17082855196144, 2.17516739972761, 2.21984799226049, 2.23321243410525, 
2.26711782019298, 2.2780981723672, 2.28449839190756, 2.31674348810720, 
2.36025064379528, 2.36337989623684, 2.37494215118886, 2.38778190424338, 
2.41129474701152, 2.41261791723015, 2.41408163855288, 2.42290590877149, 
2.42817097922892, 2.42934037665178, 2.44389280269507, 2.4442439439277, 
2.47602474176361, 2.47972789952967, 2.48825300604184, 2.51188024307106, 
2.53312740490516, 2.53415466053867, 2.53889106673182, 2.55471550720646, 
2.55834897851384, 2.56908975798727, 2.57063857762790, 2.63454052146399, 
2.63689653530103, 2.64866687726706, 2.66413805921078, 2.67304939002731, 
2.70885473076042, 2.71423446323628, 2.72211671907784, 2.76069831462031, 
2.76228726891361, 2.76595006684277, 2.76733882275012, 2.83516383575137, 
2.84642258062328, 2.84966848969336, 2.85368372283995, 2.85769820196514, 
2.87205001659640, 2.87371413140719, 2.88679674980972, 2.90458143234318, 
2.94076185993819, 3.02265282163768, 3.06744527564274, 3.1252115064544, 
3.12716380646572, 3.20656421566915, 3.21276256992527, 3.32667218876963, 
3.40549173979861, 3.45736534876709, 3.5111270180224, 3.68569978085764, 
3.74235214830792, 3.74691730503286, 3.7507991167974, 3.75541198305139, 
3.76573168649359, 3.76821999623339, 3.77477663495656, 3.79345397491675, 
3.95597762462578, 3.98861466798009, 4.01243666060197, 4.05510795942682, 
4.15862660941045, 4.36745899897385, 4.37194530575414, 4.46765621494262, 
4.52413067856177, 4.66529296685882, 4.74365786733825, 4.79631113483923, 
5.32115709042613, 5.65879337868106, 6.09780940764442, 6.84982957486133
)