% This file was created by matlab2tikz v0.3.3.
% Copyright (c) 2008--2013, Nico Schlmer <nico.schloemer@gmail.com>
% All rights reserved.
% 
% 
% 

% defining custom colors
\definecolor{mycolor1}{rgb}{0,0.75,0.75}

\begin{tikzpicture}

\begin{axis}[%
width=6.01828521434821in,
height=4.74667979002625in,
scale only axis,
xmin=-1,
xmax=1,
xlabel={Time-delay, $\theta$},
ymin=0.6,
ymax=2.6,
ylabel={Cost, $J$},
legend style={draw=black,fill=white,legend cell align=left}
]
\addplot [
color=blue,
solid
]
table[row sep=crcr]{
-0.9 0.755538201405511\\
-0.89 0.755897580193825\\
-0.88 0.756018108615937\\
-0.87 0.755731098368909\\
-0.86 0.755838303202038\\
-0.85 0.756399250609501\\
-0.84 0.757018867118012\\
-0.83 0.758778006526112\\
-0.82 0.760718505901889\\
-0.81 0.76417826421888\\
-0.8 0.767850247498719\\
-0.79 0.773603557840071\\
-0.78 0.78051214954099\\
-0.77 0.789147339365212\\
-0.76 0.799935086751978\\
-0.75 0.811678523476352\\
-0.74 0.825432212089442\\
-0.73 0.843298995617639\\
-0.72 0.862723793728438\\
-0.71 0.885843042173797\\
-0.7 0.910879676198528\\
-0.69 0.938536787299856\\
-0.68 0.968148263598537\\
-0.67 0.999289117524179\\
-0.66 1.03048875367428\\
-0.65 1.0598356724616\\
-0.64 1.08784370211392\\
-0.63 1.11120635831738\\
-0.62 1.12972310916348\\
-0.61 1.14121713101083\\
-0.6 1.14729425024511\\
-0.59 1.14552499959677\\
-0.58 1.13811544091959\\
-0.57 1.12490478596586\\
-0.56 1.10665699661236\\
-0.55 1.08592278468379\\
-0.54 1.06289074742384\\
-0.53 1.03865290401447\\
-0.52 1.01337424222351\\
-0.51 0.99041362366937\\
-0.5 0.96758237303359\\
-0.49 0.945976777366405\\
-0.48 0.926802521217811\\
-0.47 0.908332448651019\\
-0.46 0.891630378395938\\
-0.45 0.877058202075437\\
-0.44 0.863016221065214\\
-0.43 0.851453020693103\\
-0.42 0.839836464586714\\
-0.41 0.830728595222116\\
-0.4 0.821401043288716\\
-0.39 0.813624655606814\\
-0.38 0.80662179714871\\
-0.37 0.799982536420283\\
-0.36 0.794808832598946\\
-0.35 0.789299590321315\\
-0.34 0.785161689289297\\
-0.33 0.780554256218426\\
-0.32 0.777371742907589\\
-0.31 0.773931324224209\\
-0.3 0.771242947354008\\
-0.29 0.768973424975958\\
-0.28 0.767171619096667\\
-0.27 0.764822461944289\\
-0.26 0.763157662915595\\
-0.25 0.761966151158259\\
-0.24 0.760634044213545\\
-0.23 0.759254266996492\\
-0.22 0.758685874575621\\
-0.21 0.758094940423262\\
-0.2 0.757441422151765\\
-0.19 0.757066438510504\\
-0.18 0.757132723038819\\
-0.17 0.757151978246259\\
-0.16 0.756672780742927\\
-0.15 0.756876618564036\\
-0.14 0.757073068875666\\
-0.13 0.757294990815632\\
-0.12 0.757106865357931\\
-0.11 0.757393182582599\\
-0.1 0.75743240738676\\
-0.09 0.757528132952347\\
-0.08 0.758046611855864\\
-0.07 0.758222464448342\\
-0.0600000000000001 0.758577139104228\\
-0.05 0.75892363092441\\
-0.04 0.75704518591837\\
-0.03 0.757319798408019\\
-0.02 0.757477787554117\\
-0.01 0.75760824744363\\
0 0.75799937785565\\
0.01 0.759317233281426\\
0.02 0.762498125956681\\
0.03 0.766711782537213\\
0.04 0.771424210985797\\
0.05 0.776189181023934\\
0.0600000000000001 0.780872155036823\\
0.07 0.786120291765509\\
0.08 0.791507525029016\\
0.09 0.796425762886007\\
0.1 0.801887112156998\\
0.11 0.808085500447748\\
0.12 0.814073331931704\\
0.13 0.819805747112945\\
0.14 0.825556704635345\\
0.15 0.832406503338566\\
0.16 0.838290991733834\\
0.17 0.844780947312917\\
0.18 0.85083182715947\\
0.19 0.858313211313097\\
0.2 0.86498597144302\\
0.21 0.871599091789987\\
0.22 0.878432875462669\\
0.23 0.885289534847996\\
0.24 0.893063239687173\\
0.25 0.902435231409586\\
0.26 0.910421938963756\\
0.27 0.920769716783561\\
0.28 0.931174808760209\\
0.29 0.942029896479532\\
0.3 0.953348506288015\\
0.31 0.965680760522857\\
0.32 0.977442832606833\\
0.33 0.990598230616597\\
0.34 1.00293638143694\\
0.35 1.01671298143616\\
0.36 1.03076142444766\\
0.37 1.04563401915779\\
0.38 1.06069469617852\\
0.39 1.07787973333229\\
0.4 1.09417822301692\\
0.41 1.11021974838716\\
0.42 1.13075454535851\\
0.43 1.1487214687185\\
0.44 1.16774692239692\\
0.45 1.18758195559205\\
0.46 1.2082464201887\\
0.47 1.22974950894647\\
0.48 1.25146292154152\\
0.49 1.27469330329185\\
0.5 1.29983467952898\\
0.51 1.32385893741261\\
0.52 1.35023040381735\\
0.53 1.37668238172927\\
0.54 1.40549473542992\\
0.55 1.43396154765356\\
0.56 1.46421687365161\\
0.57 1.49586246220937\\
0.58 1.52790020512569\\
0.59 1.5599785244794\\
0.6 1.59390205605709\\
0.61 1.62680986211085\\
0.62 1.66149440889618\\
0.63 1.69773183370873\\
0.64 1.7317199212424\\
0.65 1.76693369954703\\
0.66 1.80284674388258\\
0.67 1.83818370552969\\
0.68 1.87260018788338\\
0.69 1.90744172617811\\
0.7 1.9415593263554\\
0.71 1.97571980979689\\
0.72 2.00795530316444\\
0.73 2.04028894085336\\
0.74 2.07222995202259\\
0.75 2.10392499347208\\
0.76 2.13329465234221\\
0.77 2.16377598056126\\
0.78 2.19291699559599\\
0.79 2.22240000943154\\
0.8 2.25322878145795\\
0.81 2.2838911782819\\
0.82 2.31383681663459\\
0.83 2.34427509141543\\
0.84 2.37698009607788\\
0.85 2.40944176712787\\
0.86 2.44427231089406\\
0.87 2.48045422259007\\
0.88 2.51717664525615\\
0.89 2.55510795624363\\
0.9 2.59759831505241\\
};
\addlegendentry{$\text{tau}_\text{c}\text{ = 0.5*theta}$};

\addplot [
color=green!50!black,
solid
]
table[row sep=crcr]{
-0.9 0.990463910225641\\
-0.89 0.990571638352835\\
-0.88 0.99057148556946\\
-0.87 0.990309391173552\\
-0.86 0.990400235346878\\
-0.85 0.990323375959513\\
-0.84 0.990038199918019\\
-0.83 0.989971096637988\\
-0.82 0.990064165841304\\
-0.81 0.990238693947685\\
-0.8 0.989825374380401\\
-0.79 0.990616883460532\\
-0.78 0.990043090712611\\
-0.77 0.990089225980457\\
-0.76 0.989826638695643\\
-0.75 0.989812976067032\\
-0.74 0.989861577414607\\
-0.73 0.989794562880478\\
-0.72 0.989986973551176\\
-0.71 0.98998970662435\\
-0.7 0.989812295284016\\
-0.69 0.989819195305673\\
-0.68 0.989818825813294\\
-0.67 0.989823949292467\\
-0.66 0.989881460664469\\
-0.65 0.989934362880389\\
-0.64 0.989869683931961\\
-0.63 0.989830480831303\\
-0.62 0.990054950338968\\
-0.61 0.989813007777684\\
-0.6 0.990287903447724\\
-0.59 0.98988519820967\\
-0.58 0.990174251660907\\
-0.57 0.989838686270787\\
-0.56 0.989958574097172\\
-0.55 0.989874899448828\\
-0.54 0.990421691094002\\
-0.53 0.990004822719368\\
-0.52 0.98979499884164\\
-0.51 0.990063645966704\\
-0.5 0.989874881778675\\
-0.49 0.990127174450237\\
-0.48 0.990056244138381\\
-0.47 0.989837917240684\\
-0.46 0.989800598927565\\
-0.45 0.99013051831902\\
-0.44 0.989842937909734\\
-0.43 0.989784043276525\\
-0.42 0.989840420356015\\
-0.41 0.989827613206896\\
-0.4 0.989905495325125\\
-0.39 0.989912749830731\\
-0.38 0.989866174028487\\
-0.37 0.989930865529372\\
-0.36 0.989854199080504\\
-0.35 0.989869169896661\\
-0.34 0.989924015652768\\
-0.33 0.989891304168138\\
-0.32 0.989834472268466\\
-0.31 0.989905194362282\\
-0.3 0.989912264479231\\
-0.29 0.989872636937039\\
-0.28 0.98981057586185\\
-0.27 0.989888646080002\\
-0.26 0.989805799374304\\
-0.25 0.989831587952876\\
-0.24 0.989832293216273\\
-0.23 0.989851518658146\\
-0.22 0.989837796482436\\
-0.21 0.989858233469309\\
-0.2 0.989878406428969\\
-0.19 0.990124446346179\\
-0.18 0.989851462909514\\
-0.17 0.990184940346849\\
-0.16 0.990020044681718\\
-0.15 0.989906039028856\\
-0.14 0.990275750548848\\
-0.13 0.990480683238305\\
-0.12 0.990038047179666\\
-0.11 0.990370532403357\\
-0.1 0.990083242530106\\
-0.09 0.990251404675212\\
-0.08 0.990244876349566\\
-0.07 0.990016960244707\\
-0.0600000000000001 0.990347054768817\\
-0.05 0.990455862492327\\
-0.04 0.99040660039791\\
-0.03 0.990059519265418\\
-0.02 0.990571818590819\\
-0.01 0.990598678512908\\
0 0.990545971297044\\
0.01 0.990220418826924\\
0.02 0.990675147727911\\
0.03 0.99046689248372\\
0.04 0.99021152822136\\
0.05 0.990431543931385\\
0.0600000000000001 0.990836616574092\\
0.07 0.991801250983836\\
0.08 0.992901675656653\\
0.09 0.994648189329186\\
0.1 0.996823376762394\\
0.11 0.999170196095815\\
0.12 1.00181154751168\\
0.13 1.00495234647813\\
0.14 1.008010905331\\
0.15 1.01140010359025\\
0.16 1.01501933861672\\
0.17 1.0188569165567\\
0.18 1.02277447032956\\
0.19 1.02686101064832\\
0.2 1.0311046341429\\
0.21 1.03560616485152\\
0.22 1.04012758229428\\
0.23 1.04488276026455\\
0.24 1.04979191514893\\
0.25 1.05553639043689\\
0.26 1.06108042091605\\
0.27 1.06732379449238\\
0.28 1.07396688670018\\
0.29 1.0808935596416\\
0.3 1.08801861372626\\
0.31 1.09560359718756\\
0.32 1.10334995903238\\
0.33 1.1112998749294\\
0.34 1.11960346711961\\
0.35 1.12824240650403\\
0.36 1.1370612545032\\
0.37 1.14628175275129\\
0.38 1.15561063698644\\
0.39 1.1653035056611\\
0.4 1.17514476691665\\
0.41 1.18514137727175\\
0.42 1.19563175068179\\
0.43 1.20611976488039\\
0.44 1.21668322598737\\
0.45 1.22788664681235\\
0.46 1.23910256661786\\
0.47 1.25056012929775\\
0.48 1.26214518290894\\
0.49 1.27419942296941\\
0.5 1.28601029618334\\
0.51 1.29853697019775\\
0.52 1.31122353155813\\
0.53 1.32425145452378\\
0.54 1.33772976440284\\
0.55 1.35073939772848\\
0.56 1.36440944208672\\
0.57 1.37848701121211\\
0.58 1.39227795507197\\
0.59 1.40663017484943\\
0.6 1.42138780222584\\
0.61 1.43637933025914\\
0.62 1.45039774884632\\
0.63 1.46593480558064\\
0.64 1.48123794722023\\
0.65 1.4969077382454\\
0.66 1.5129380544052\\
0.67 1.5295134988786\\
0.68 1.54643246497884\\
0.69 1.56281560262883\\
0.7 1.58044306765851\\
0.71 1.59717321163717\\
0.72 1.61540537916337\\
0.73 1.63324332228807\\
0.74 1.65096468252034\\
0.75 1.66951161862278\\
0.76 1.688431851713\\
0.77 1.70839642453901\\
0.78 1.72827794260464\\
0.79 1.74795887532976\\
0.8 1.76828954008884\\
0.81 1.78782763771862\\
0.82 1.8084015869246\\
0.83 1.83081237526218\\
0.84 1.85223978425323\\
0.85 1.8742338619943\\
0.86 1.89611180632475\\
0.87 1.9183729039387\\
0.88 1.94207198547019\\
0.89 1.96538778834815\\
0.9 1.98869371096153\\
};
\addlegendentry{$\text{tau}_\text{c}\text{ = theta}$};

\addplot [
color=red,
solid
]
table[row sep=crcr]{
-0.9 1.2245319633555\\
-0.89 1.22449740578828\\
-0.88 1.22442929970544\\
-0.87 1.22438028471325\\
-0.86 1.22445107427594\\
-0.85 1.22430288418276\\
-0.84 1.22427620867648\\
-0.83 1.22434494181698\\
-0.82 1.22421979348852\\
-0.81 1.22419132561234\\
-0.8 1.22417116057437\\
-0.79 1.22428100570783\\
-0.78 1.22435957803962\\
-0.77 1.22423274214483\\
-0.76 1.22436967286479\\
-0.75 1.22455045157472\\
-0.74 1.2243102032546\\
-0.73 1.22420547833301\\
-0.72 1.22419080127821\\
-0.71 1.22419397334953\\
-0.7 1.22418633069186\\
-0.69 1.22420098897745\\
-0.68 1.22433472583035\\
-0.67 1.22423005555122\\
-0.66 1.22423708928537\\
-0.65 1.2244620197109\\
-0.64 1.22423126589215\\
-0.63 1.22420684861651\\
-0.62 1.22426841988821\\
-0.61 1.22435158152873\\
-0.6 1.2241983106174\\
-0.59 1.22420522653792\\
-0.58 1.22420746182544\\
-0.57 1.22421643650244\\
-0.56 1.22422919927604\\
-0.55 1.22443950325297\\
-0.54 1.22420241282796\\
-0.53 1.22445679122892\\
-0.52 1.22419244339116\\
-0.51 1.22431985578102\\
-0.5 1.22424210202405\\
-0.49 1.22423881211189\\
-0.48 1.22423787772706\\
-0.47 1.22423183673566\\
-0.46 1.22420741071942\\
-0.45 1.22421445753273\\
-0.44 1.22437083891678\\
-0.43 1.22423193370632\\
-0.42 1.22425496816693\\
-0.41 1.2243433758704\\
-0.4 1.22424701365124\\
-0.39 1.22424084587186\\
-0.38 1.22421156243049\\
-0.37 1.22423791245527\\
-0.36 1.22424079388501\\
-0.35 1.22425230323203\\
-0.34 1.22425544949716\\
-0.33 1.22430158235911\\
-0.32 1.22425563717584\\
-0.31 1.22422321971365\\
-0.3 1.22425371105777\\
-0.29 1.22422572122633\\
-0.28 1.22424610393939\\
-0.27 1.22425529084174\\
-0.26 1.22425525770076\\
-0.25 1.22422705670253\\
-0.24 1.22427076202726\\
-0.23 1.22424581751809\\
-0.22 1.22460627301203\\
-0.21 1.22426868115906\\
-0.2 1.22429385582266\\
-0.19 1.22436543772477\\
-0.18 1.22431937212448\\
-0.17 1.22434604019735\\
-0.16 1.22422708880803\\
-0.15 1.22421862166492\\
-0.14 1.2243165247604\\
-0.13 1.22446978526662\\
-0.12 1.22460605470908\\
-0.11 1.22470266119417\\
-0.1 1.22460107449109\\
-0.09 1.22452022735883\\
-0.08 1.22457153120417\\
-0.07 1.22458709931314\\
-0.0600000000000001 1.22461901643131\\
-0.05 1.22453750372401\\
-0.04 1.22467663447789\\
-0.03 1.2244882520531\\
-0.02 1.22466267926873\\
-0.01 1.22492651438847\\
0 1.22476147532289\\
0.01 1.22465931383826\\
0.02 1.22441114518724\\
0.03 1.22476966827229\\
0.04 1.22453077775253\\
0.05 1.22454587321457\\
0.0600000000000001 1.22435045291704\\
0.07 1.22441799628775\\
0.08 1.22460656998265\\
0.09 1.22437659179367\\
0.1 1.22424667785786\\
0.11 1.22457658239943\\
0.12 1.22432192664288\\
0.13 1.22423978384424\\
0.14 1.22435128077151\\
0.15 1.22454634907711\\
0.16 1.22490934083876\\
0.17 1.22549608932373\\
0.18 1.22647394684831\\
0.19 1.22757760212584\\
0.2 1.22888904023565\\
0.21 1.23039794931848\\
0.22 1.23231315831982\\
0.23 1.23423326350159\\
0.24 1.23658129059039\\
0.25 1.23897043842348\\
0.26 1.24156015632018\\
0.27 1.24457280586422\\
0.28 1.24778079285657\\
0.29 1.25125701564073\\
0.3 1.25495785335017\\
0.31 1.25907291169113\\
0.32 1.26327619287917\\
0.33 1.26778156745644\\
0.34 1.2722989261561\\
0.35 1.27735598527907\\
0.36 1.28231650715728\\
0.37 1.28761279718815\\
0.38 1.29349497725646\\
0.39 1.29933281290368\\
0.4 1.30540948718584\\
0.41 1.31170392739928\\
0.42 1.31798497663584\\
0.43 1.32466744096753\\
0.44 1.33134523721514\\
0.45 1.33847352617845\\
0.46 1.34571667062917\\
0.47 1.35318604420039\\
0.48 1.36083390418947\\
0.49 1.36884049655996\\
0.5 1.37666003866516\\
0.51 1.3851997161044\\
0.52 1.39367284627438\\
0.53 1.40238599419451\\
0.54 1.41112944403722\\
0.55 1.42017825539886\\
0.56 1.4294526494532\\
0.57 1.43887031865297\\
0.58 1.44844989197943\\
0.59 1.45825070109614\\
0.6 1.46828144358555\\
0.61 1.47854091866482\\
0.62 1.48877556318417\\
0.63 1.49947812309787\\
0.64 1.51005409589432\\
0.65 1.52080612833139\\
0.66 1.53218886616014\\
0.67 1.54338023868526\\
0.68 1.55472547024618\\
0.69 1.56634051353473\\
0.7 1.57809219288223\\
0.71 1.590241789409\\
0.72 1.60229567443158\\
0.73 1.61451652666156\\
0.74 1.62688717427353\\
0.75 1.63961893672043\\
0.76 1.65252707096436\\
0.77 1.66571841006158\\
0.78 1.67876102695976\\
0.79 1.6922462526577\\
0.8 1.70573946371156\\
0.81 1.71950326258505\\
0.82 1.73352092075078\\
0.83 1.74769445656247\\
0.84 1.7621446624222\\
0.85 1.77685334166991\\
0.86 1.79163006832115\\
0.87 1.80699700452719\\
0.88 1.82153297102013\\
0.89 1.83663982400039\\
0.9 1.85223584832278\\
};
\addlegendentry{$\text{tau}_\text{c}\text{ = 1.5*theta}$};

\addplot [
color=mycolor1,
solid
]
table[row sep=crcr]{
-0.9 1.45875777538055\\
-0.89 1.4586965219477\\
-0.88 1.45871174973579\\
-0.87 1.45868728204044\\
-0.86 1.45867532359574\\
-0.85 1.45872685710505\\
-0.84 1.45868779565829\\
-0.83 1.4588250688676\\
-0.82 1.45879159212887\\
-0.81 1.45870429306502\\
-0.8 1.4586490762032\\
-0.79 1.45875474381799\\
-0.78 1.45870269321921\\
-0.77 1.45859742596195\\
-0.76 1.45863166313595\\
-0.75 1.45862797195281\\
-0.74 1.45873519670046\\
-0.73 1.45869762476282\\
-0.72 1.45861316851066\\
-0.71 1.45859189094416\\
-0.7 1.45862356631176\\
-0.69 1.45857807416155\\
-0.68 1.45856920382436\\
-0.67 1.45879652256226\\
-0.66 1.45857027296406\\
-0.65 1.45883182261576\\
-0.64 1.45869575587709\\
-0.63 1.45859583964797\\
-0.62 1.45858850849407\\
-0.61 1.45861242973644\\
-0.6 1.45889353535983\\
-0.59 1.45856083607206\\
-0.58 1.45894250552088\\
-0.57 1.45879108250523\\
-0.56 1.45866703611256\\
-0.55 1.45856547936481\\
-0.54 1.45858235321592\\
-0.53 1.45857232911761\\
-0.52 1.45872954507025\\
-0.51 1.45897206000496\\
-0.5 1.45884449212696\\
-0.49 1.45870974009993\\
-0.48 1.45873023586808\\
-0.47 1.45862288657587\\
-0.46 1.45874119242547\\
-0.45 1.45872589547609\\
-0.44 1.45869887532445\\
-0.43 1.45888363917445\\
-0.42 1.45884766614619\\
-0.41 1.4589861846502\\
-0.4 1.45878191034257\\
-0.39 1.45869034148948\\
-0.38 1.45871634563118\\
-0.37 1.45863381423453\\
-0.36 1.45888257241448\\
-0.35 1.45870653954623\\
-0.34 1.45877499214164\\
-0.33 1.45882715425251\\
-0.32 1.45878332485417\\
-0.31 1.45876390222315\\
-0.3 1.45872622615123\\
-0.29 1.4586962604272\\
-0.28 1.45873935309369\\
-0.27 1.45874455084178\\
-0.26 1.4586335836691\\
-0.25 1.45867110838535\\
-0.24 1.45872381475305\\
-0.23 1.45878259771393\\
-0.22 1.4587124250182\\
-0.21 1.45872655208901\\
-0.2 1.45878333593191\\
-0.19 1.45881663057131\\
-0.18 1.45872990167508\\
-0.17 1.45876856500145\\
-0.16 1.4587613545979\\
-0.15 1.45880308297901\\
-0.14 1.45884637336526\\
-0.13 1.45910722269957\\
-0.12 1.45866450032308\\
-0.11 1.45889991153915\\
-0.1 1.45889421358849\\
-0.09 1.45894923431847\\
-0.08 1.45888067371035\\
-0.07 1.45920460790927\\
-0.0600000000000001 1.45903987787436\\
-0.05 1.45905205985279\\
-0.04 1.45900496956358\\
-0.03 1.45911318157457\\
-0.02 1.45915796144374\\
-0.01 1.45928528163092\\
0 1.45919243503444\\
0.01 1.45914829448127\\
0.02 1.45917942392037\\
0.03 1.45903992538044\\
0.04 1.45905446759448\\
0.05 1.45905192139069\\
0.0600000000000001 1.45902222187515\\
0.07 1.45903570665224\\
0.08 1.45888029683252\\
0.09 1.45900828725487\\
0.1 1.45894893570654\\
0.11 1.45899050488954\\
0.12 1.4589355859094\\
0.13 1.45886218184979\\
0.14 1.45895968872704\\
0.15 1.45867311431359\\
0.16 1.45869769043051\\
0.17 1.45879148788145\\
0.18 1.45868544383447\\
0.19 1.45868594606295\\
0.2 1.45889459020233\\
0.21 1.45880414781271\\
0.22 1.45872216157546\\
0.23 1.45868085606337\\
0.24 1.45869894775587\\
0.25 1.45866917360948\\
0.26 1.45875165811515\\
0.27 1.45898888261727\\
0.28 1.45938518569796\\
0.29 1.45967520951511\\
0.3 1.46033581653589\\
0.31 1.46114717391228\\
0.32 1.46210830709467\\
0.33 1.46339671961352\\
0.34 1.46479251202461\\
0.35 1.46653499141885\\
0.36 1.46828271349051\\
0.37 1.47043289588386\\
0.38 1.47272072679962\\
0.39 1.47537475302709\\
0.4 1.4781174689941\\
0.41 1.48110399162816\\
0.42 1.48437178447516\\
0.43 1.48802344492911\\
0.44 1.4913969086793\\
0.45 1.49543174867848\\
0.46 1.49973067269016\\
0.47 1.50410629463377\\
0.48 1.50846971557725\\
0.49 1.51302742694169\\
0.5 1.51803222586022\\
0.51 1.52304349575566\\
0.52 1.52835696554176\\
0.53 1.53393737116676\\
0.54 1.53947649690995\\
0.55 1.54534181762719\\
0.56 1.55129681196992\\
0.57 1.55765794782527\\
0.58 1.56462397805795\\
0.59 1.57115330505354\\
0.6 1.57820666474255\\
0.61 1.58502075935796\\
0.62 1.59203078717199\\
0.63 1.59940050702308\\
0.64 1.60661832202106\\
0.65 1.61415572695309\\
0.66 1.62181567819358\\
0.67 1.62968044797407\\
0.68 1.6377170910294\\
0.69 1.64584456337965\\
0.7 1.65412022565635\\
0.71 1.66272454856036\\
0.72 1.67153978842396\\
0.73 1.68013689101823\\
0.74 1.6891246210036\\
0.75 1.69790531452203\\
0.76 1.70753310826212\\
0.77 1.71678342865638\\
0.78 1.7260967991609\\
0.79 1.73603217864884\\
0.8 1.7459796748589\\
0.81 1.7550920405637\\
0.82 1.76554614484707\\
0.83 1.77578422113239\\
0.84 1.78612487108768\\
0.85 1.79670405067208\\
0.86 1.80724267582823\\
0.87 1.81808157344988\\
0.88 1.82894895306747\\
0.89 1.83987862487302\\
0.9 1.851233466739\\
};
\addlegendentry{$\text{tau}_\text{c}\text{ = 2*theta}$};

\end{axis}
\end{tikzpicture}%