From a1b51f53540b09ec4276a6f69536c4fe506fc513 Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Wed, 14 Apr 2021 19:11:46 +0200 Subject: Much work. --- new_schofield.nb | 21346 +++++++++++++++++++++++++++++++++++++---------------- schofield.wl | 79 +- 2 files changed, 15135 insertions(+), 6290 deletions(-) diff --git a/new_schofield.nb b/new_schofield.nb index 97284a1..86da5b9 100644 --- a/new_schofield.nb +++ b/new_schofield.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 2355235, 46094] -NotebookOptionsPosition[ 2342168, 45886] -NotebookOutlinePosition[ 2342566, 45902] -CellTagsIndexPosition[ 2342523, 45899] +NotebookDataLength[ 2809057, 54906] +NotebookOptionsPosition[ 2787544, 54562] +NotebookOutlinePosition[ 2787944, 54578] +CellTagsIndexPosition[ 2787901, 54575] WindowFrame->Normal*) (* Beginning of Notebook Content *) @@ -25,7 +25,8 @@ Cell[BoxData[ CellChangeTimes->{{3.817548726786456*^9, 3.817548838429791*^9}, { 3.817579586526174*^9, 3.817579588547625*^9}, {3.8176251109891653`*^9, 3.817625112168749*^9}, {3.8176254615736647`*^9, 3.817625462650483*^9}}, - CellLabel->"In[47]:=",ExpressionUUID->"e595a667-7f25-4f98-9f12-a321a236d113"], + CellLabel-> + "In[769]:=",ExpressionUUID->"e595a667-7f25-4f98-9f12-a321a236d113"], Cell[CellGroupData[{ @@ -36,16 +37,15 @@ ec66b9fbf698"], Cell[BoxData[{ RowBox[{ - RowBox[{"h1", "=", - RowBox[{"h", "[", "1", "]"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{"F1", "=", "RF"}], ";"}], "\[IndentingNewLine]", RowBox[{ - RowBox[{"F1", "=", - RowBox[{"RF", "[", "1", "]"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{"h1", "=", + RowBox[{"h", "[", "0", "]"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"eq1", "=", RowBox[{ RowBox[{"eq", "[", - RowBox[{"1", ",", "h1"}], "]"}], "[", "1", "]"}]}], ";"}]}], "Input", + RowBox[{"F1", ",", "h1"}], "]"}], "[", "2", "]"}]}], ";"}]}], "Input", CellChangeTimes->{ 3.817563268660089*^9, {3.817563829122241*^9, 3.817563846550528*^9}, { 3.817563950998456*^9, 3.817563956525237*^9}, {3.8175645239988813`*^9, @@ -65,78 +65,56 @@ Cell[BoxData[{ 3.817663582839945*^9}, 3.825758512656106*^9, {3.825763375631454*^9, 3.825763378543667*^9}, {3.8257634137840014`*^9, 3.825763413911902*^9}, { 3.825763446664874*^9, 3.825763463328993*^9}, {3.825763605779811*^9, - 3.825763606011436*^9}, {3.8257637148295803`*^9, 3.8257637204857407`*^9}}, - CellLabel-> - "In[355]:=",ExpressionUUID->"c239eacb-bd0a-49ce-8667-3aa72e4020c9"], - -Cell[BoxData[ - RowBox[{ - RowBox[{"\[Theta]c1", "=", "1.08"}], ";"}]], "Input", - CellChangeTimes->{{3.817585268393762*^9, 3.817585293317271*^9}, { - 3.817585486091017*^9, 3.817585494971346*^9}, {3.817585564983135*^9, - 3.817585565747403*^9}, {3.817613382923294*^9, 3.817613383138185*^9}, { - 3.817613792996088*^9, 3.8176137947992983`*^9}, {3.8176138325298033`*^9, - 3.817613832689768*^9}, {3.817613945403081*^9, 3.8176139460305977`*^9}, { - 3.817616912295125*^9, 3.8176169290794497`*^9}, {3.8176186151558523`*^9, - 3.817618619104945*^9}, {3.817619090418564*^9, 3.81761910673524*^9}, - 3.817619253736672*^9, {3.8176193746564007`*^9, 3.817619374732581*^9}, { - 3.817619426379078*^9, 3.817619430415657*^9}, {3.817619495695971*^9, - 3.8176194979719963`*^9}, {3.81761962610084*^9, 3.81761962629879*^9}, { - 3.817619675607584*^9, 3.8176196962814493`*^9}, 3.817619789430169*^9, - 3.817619991910288*^9, {3.8176200580506697`*^9, 3.8176200588070917`*^9}, { - 3.817620109806219*^9, 3.8176201102512617`*^9}, {3.8176207225281963`*^9, - 3.81762072275283*^9}, {3.817625744386352*^9, 3.817625748424838*^9}, { - 3.817625808751005*^9, 3.817625809099471*^9}, {3.8176290646805687`*^9, - 3.817629065099968*^9}, 3.817629131750176*^9, {3.817629190325059*^9, - 3.817629190809897*^9}, {3.817629497269574*^9, 3.817629497707655*^9}, { - 3.817629563603163*^9, 3.817629563901677*^9}, {3.817637457431973*^9, - 3.817637458007321*^9}, {3.817639806034833*^9, 3.81763983029615*^9}, { - 3.8176404653824*^9, 3.817640484337888*^9}, {3.817640545505579*^9, - 3.817640547534202*^9}, {3.817640702610136*^9, 3.817640702917857*^9}, { - 3.8176411385765676`*^9, 3.81764115635804*^9}, {3.8176635991713743`*^9, - 3.817663599392414*^9}, {3.8176641062045927`*^9, 3.817664108809791*^9}, { - 3.8176642725583572`*^9, 3.817664273275118*^9}, {3.817664462392371*^9, - 3.81766446250115*^9}, {3.817664613433975*^9, 3.817664613564913*^9}, { - 3.817664802762989*^9, 3.81766483117656*^9}, {3.817664863597609*^9, - 3.8176648843718557`*^9}, {3.817664977236157*^9, 3.817665003913262*^9}, - 3.8176650486087637`*^9, {3.817666520433958*^9, 3.81766652831031*^9}, { - 3.8257632673177032`*^9, 3.8257632695814943`*^9}, {3.825763623347928*^9, - 3.825763637572359*^9}, {3.825763858448085*^9, 3.825763917417109*^9}}, + 3.825763606011436*^9}, {3.8257637148295803`*^9, 3.8257637204857407`*^9}, { + 3.826006803495468*^9, 3.826006839095595*^9}, 3.8260068811926117`*^9, + 3.826006943225545*^9, {3.826007071083858*^9, 3.826007079467758*^9}, + 3.826007112620473*^9, {3.82601313747709*^9, 3.82601313976488*^9}, + 3.826013244855187*^9, 3.826013284183839*^9, {3.826014207792585*^9, + 3.826014219264563*^9}, {3.826103027106683*^9, 3.826103056363042*^9}, { + 3.826257870913554*^9, 3.826257871017458*^9}, {3.8262579223944807`*^9, + 3.826257929058549*^9}, {3.826271006624743*^9, 3.826271007968198*^9}, { + 3.826271280205347*^9, 3.826271288749447*^9}, 3.826271618547401*^9, { + 3.826271738965671*^9, 3.8262717409334803`*^9}, {3.826271802494823*^9, + 3.826271803646625*^9}, {3.8262720134824543`*^9, 3.826272013570187*^9}, { + 3.826272208133703*^9, 3.826272208261518*^9}, {3.826688528113632*^9, + 3.82668853189775*^9}, {3.8266886310038548`*^9, 3.82668865415561*^9}, { + 3.826688776902178*^9, 3.826688784870481*^9}, 3.82668883471113*^9, { + 3.8266889446815434`*^9, 3.826688945120689*^9}, 3.826689031507045*^9, + 3.826689298719823*^9, {3.82668952349972*^9, 3.826689551099905*^9}, { + 3.826689678134739*^9, 3.82668971638337*^9}, {3.826689809097412*^9, + 3.8266898103132467`*^9}, 3.826689961636736*^9, {3.8266908868377*^9, + 3.826690891285263*^9}, {3.826704302753643*^9, 3.826704329658093*^9}, { + 3.8267045237337437`*^9, 3.8267045253813877`*^9}, {3.826704630799823*^9, + 3.826704631487473*^9}, {3.826704668904357*^9, 3.826704670928516*^9}, { + 3.827403203552498*^9, 3.82740320650457*^9}, {3.827403288162031*^9, + 3.8274033199224453`*^9}, {3.827404264587915*^9, 3.8274042660998983`*^9}, { + 3.827404609458087*^9, 3.82740462376267*^9}, {3.827405363855988*^9, + 3.8274054005924892`*^9}, {3.827405976059005*^9, 3.827405979595057*^9}, { + 3.827406029347906*^9, 3.82740603287595*^9}, {3.827406369746066*^9, + 3.827406370961958*^9}, {3.827406701976047*^9, 3.827406704095851*^9}, { + 3.8274067687212753`*^9, 3.8274067707292433`*^9}, {3.8274069422923*^9, + 3.827406944748127*^9}, {3.8274072211131983`*^9, 3.827407222169073*^9}, { + 3.827407319595125*^9, 3.8274073211146317`*^9}}, CellLabel-> - "In[411]:=",ExpressionUUID->"b0293560-4bfa-4de2-84b0-335927f7dbea"], + "In[777]:=",ExpressionUUID->"c239eacb-bd0a-49ce-8667-3aa72e4020c9"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"sol1", "=", - RowBox[{"FindRoot", "[", - RowBox[{ - RowBox[{"eq1", "/.", - RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], ",", + RowBox[{"newSol", "[", + RowBox[{"eq1", ",", RowBox[{"{", RowBox[{ - RowBox[{"{", - RowBox[{"A", ",", - RowBox[{"RandomReal", "[", - RowBox[{"{", - RowBox[{"0", ",", "3"}], "}"}], "]"}]}], "}"}], ",", - RowBox[{"{", - RowBox[{ - RowBox[{"gC", "[", "0", "]"}], ",", - RowBox[{"RandomReal", "[", "]"}]}], "}"}], ",", - RowBox[{"{", - RowBox[{ - RowBox[{"FC", "[", "0", "]"}], ",", - RowBox[{"RandomReal", "[", "]"}]}], "}"}], ",", - RowBox[{"{", - RowBox[{ - RowBox[{"FC", "[", "1", "]"}], ",", - RowBox[{"RandomReal", "[", "]"}]}], "}"}], ",", - RowBox[{"{", - RowBox[{ - RowBox[{"gC", "[", "1", "]"}], ",", - RowBox[{"RandomReal", "[", "]"}]}], "}"}]}], "}"}], ",", - RowBox[{"MaxIterations", "\[Rule]", "2000"}]}], "]"}]}]], "Input", + RowBox[{"\[Theta]c", "\[Rule]", + RowBox[{"1", "+", + RowBox[{"RandomReal", "[", "]"}]}]}], ",", + RowBox[{"\[Theta]0", "\[Rule]", "0.2"}], ",", + RowBox[{"B", "\[Rule]", + RowBox[{"RandomReal", "[", "]"}]}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"AH", ",", "AL", ",", "AM"}], "}"}], ",", "1"}], + "]"}]}]], "Input", CellChangeTimes->{{3.8175612726329412`*^9, 3.81756128486736*^9}, { 3.8175614038617268`*^9, 3.817561415404965*^9}, {3.817561511096093*^9, 3.817561563944231*^9}, {3.81756250196518*^9, 3.817562507914916*^9}, { @@ -169,27 +147,67 @@ Cell[BoxData[ 3.825763383184575*^9, 3.825763384359542*^9}, {3.825763468201654*^9, 3.8257635404104633`*^9}, {3.825763598732656*^9, 3.825763615363847*^9}, { 3.82576366711692*^9, 3.825763670964929*^9}, {3.8257637259509153`*^9, - 3.825763726869834*^9}}, + 3.825763726869834*^9}, {3.8260068546286716`*^9, 3.826006934737355*^9}, + 3.826007023700025*^9, {3.826007142453987*^9, 3.826007172733457*^9}, { + 3.826007227094718*^9, 3.826007234238368*^9}, {3.826007281455606*^9, + 3.826007281631263*^9}, {3.8260131021171627`*^9, 3.826013235087982*^9}, { + 3.826013276184326*^9, 3.82601329121591*^9}, {3.826014185040545*^9, + 3.826014214816679*^9}, {3.82610305044307*^9, 3.826103051643466*^9}, { + 3.826257842377824*^9, 3.8262578897138157`*^9}, 3.826271625756062*^9, { + 3.826271749286043*^9, 3.82627175114334*^9}, {3.8262718089036913`*^9, + 3.8262718090629587`*^9}, {3.826272022842718*^9, 3.826272036562599*^9}, { + 3.8262720671632137`*^9, 3.826272070004068*^9}, {3.82627221151033*^9, + 3.8262722549273*^9}, {3.826273038708729*^9, 3.8262730558443213`*^9}, + 3.8262735513178062`*^9, {3.826688522017602*^9, 3.826688523729415*^9}, { + 3.826688657099827*^9, 3.826688661251685*^9}, {3.826688770022471*^9, + 3.826688779694127*^9}, {3.82668882910354*^9, 3.8266888395192547`*^9}, { + 3.8266889498740597`*^9, 3.826688954761097*^9}, {3.826689028467073*^9, + 3.826689029826647*^9}, {3.82668927194319*^9, 3.8266892931912394`*^9}, { + 3.826689537572371*^9, 3.8266895383799343`*^9}, {3.826689676095376*^9, + 3.8266897386883087`*^9}, {3.826689813346554*^9, 3.826689813433432*^9}, { + 3.826689957324736*^9, 3.826689964164196*^9}, 3.826690452030354*^9, { + 3.826690892982226*^9, 3.826690897709757*^9}, {3.8267023439748707`*^9, + 3.8267023444465714`*^9}, {3.826704325658999*^9, 3.82670432664193*^9}, { + 3.826704528574699*^9, 3.826704530029767*^9}, {3.826704636776795*^9, + 3.826704678960744*^9}, {3.827313900441324*^9, 3.82731390116112*^9}, { + 3.827403265041815*^9, 3.8274032660575743`*^9}, {3.827403308722518*^9, + 3.82740331241038*^9}, {3.8274042873089857`*^9, 3.827404292396853*^9}, { + 3.827404612946856*^9, 3.827404620970688*^9}, 3.827404665340393*^9, { + 3.827405360504479*^9, 3.8274053606877127`*^9}, {3.827405983067177*^9, + 3.8274059833229713`*^9}, {3.8274061717587442`*^9, 3.827406172190415*^9}, { + 3.827406203455724*^9, 3.827406244759798*^9}, {3.827406373442328*^9, + 3.827406374866309*^9}, {3.8274067067848787`*^9, 3.827406720496524*^9}, { + 3.8274067728096743`*^9, 3.827406788913322*^9}, {3.827406948837386*^9, + 3.827406958716473*^9}, {3.827407127680643*^9, 3.827407128079562*^9}, { + 3.827407228409534*^9, 3.82740723008123*^9}, {3.827407323371593*^9, + 3.827407323515147*^9}}, + CellLabel-> + "In[786]:=",ExpressionUUID->"3d566693-1b4e-4bc5-b33b-b8036e1e4822"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "cvmit", + "\"Failed to converge to the requested accuracy or precision within \\!\\(\ +\\*RowBox[{\\\"10000\\\"}]\\) iterations.\"", 2, 786, 488, + 31545628048664738478, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.827407395251296*^9}, CellLabel-> - "In[412]:=",ExpressionUUID->"3d566693-1b4e-4bc5-b33b-b8036e1e4822"], + "During evaluation of \ +In[786]:=",ExpressionUUID->"1c182b96-c1c8-47e1-acd1-78c085fad78c"], Cell[BoxData[ RowBox[{"{", RowBox[{ - RowBox[{"A", "\[Rule]", - RowBox[{"-", "0.07787609313181094`"}]}], ",", - RowBox[{ - RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "0.030725369486394462`"}], ",", - - RowBox[{ - RowBox[{"FC", "[", "0", "]"}], "\[Rule]", - RowBox[{"-", "0.47057944316233313`"}]}], ",", - RowBox[{ - RowBox[{"FC", "[", "1", "]"}], "\[Rule]", - RowBox[{"-", "0.13783706288609315`"}]}], ",", - RowBox[{ - RowBox[{"gC", "[", "1", "]"}], "\[Rule]", "0.04371059922817206`"}]}], - "}"}]], "Output", + RowBox[{"\[Theta]c", "\[Rule]", "11.234871044550745`"}], ",", + RowBox[{"\[Theta]0", "\[Rule]", "0.20442292308093693`"}], ",", + RowBox[{"B", "\[Rule]", + RowBox[{"-", "0.19962954578726677`"}]}], ",", + RowBox[{"AH", "\[Rule]", + RowBox[{"-", "3.8659484808143287`"}]}], ",", + RowBox[{"AL", "\[Rule]", + RowBox[{"-", "1006.1980163793688`"}]}], ",", + RowBox[{"AM", "\[Rule]", "201.63822725231765`"}]}], "}"}]], "Output", CellChangeTimes->{ 3.817561286441853*^9, 3.817561420490069*^9, 3.817561452135456*^9, { 3.817561512454604*^9, 3.817561517595207*^9}, 3.817561585719215*^9, @@ -245,326 +263,1128 @@ Cell[BoxData[ 3.8257633846688757`*^9, 3.825763414687121*^9}, {3.82576347554066*^9, 3.825763585295904*^9}, {3.82576361810791*^9, 3.825763677417632*^9}, { 3.8257637271296167`*^9, 3.825763730323576*^9}, {3.825763859174169*^9, - 3.825763918165347*^9}}, + 3.825763918165347*^9}, {3.826006844157557*^9, 3.826006907455937*^9}, { + 3.826006947747383*^9, 3.826007056314501*^9}, {3.826007151700953*^9, + 3.826007234434297*^9}, {3.8260072711783123`*^9, 3.826007281887903*^9}, + 3.826007421189721*^9, 3.826009165959126*^9, 3.8260125664739857`*^9, { + 3.826013114759953*^9, 3.826013134326068*^9}, {3.826013200247613*^9, + 3.826013273540249*^9}, {3.826013308475206*^9, 3.826013309571939*^9}, { + 3.826014188077601*^9, 3.82601422040339*^9}, {3.826103051865344*^9, + 3.826103057075747*^9}, {3.826188023868651*^9, 3.8261880259243803`*^9}, { + 3.8261887122489653`*^9, 3.8261887179388037`*^9}, 3.826189697488739*^9, { + 3.8261900521126623`*^9, 3.826190061019561*^9}, 3.826190091881919*^9, { + 3.826192530008753*^9, 3.826192540506268*^9}, 3.82625783080977*^9, { + 3.826257864238605*^9, 3.826257872216158*^9}, 3.826257929876092*^9, + 3.8262716290141907`*^9, 3.826271711612043*^9, {3.826271753843545*^9, + 3.826271820812729*^9}, {3.8262718614107523`*^9, 3.826271877834058*^9}, + 3.826271941524288*^9, {3.826272049105997*^9, 3.82627206485788*^9}, + 3.8262720962879467`*^9, {3.8262721687992*^9, 3.826272267353698*^9}, { + 3.8262724985579853`*^9, 3.826272506576028*^9}, {3.8262730448432302`*^9, + 3.8262730565406427`*^9}, {3.826273577247044*^9, 3.826273583571105*^9}, + 3.826273802606501*^9, {3.826688533324522*^9, 3.8266885353975077`*^9}, + 3.826688570051317*^9, {3.8266886618430634`*^9, 3.826688686040641*^9}, { + 3.826688779975994*^9, 3.82668878951475*^9}, 3.826688845095806*^9, + 3.826688892932228*^9, 3.8266889552661753`*^9, {3.826688986991769*^9, + 3.826688990574726*^9}, {3.82668904490655*^9, 3.826689058520337*^9}, { + 3.826689277186187*^9, 3.826689302336294*^9}, {3.826689538632372*^9, + 3.826689552995063*^9}, {3.826689683535489*^9, 3.826689815956945*^9}, { + 3.8266898745785427`*^9, 3.826689876854952*^9}, {3.826689958910746*^9, + 3.826689974699345*^9}, {3.826690106143442*^9, 3.8266901657581587`*^9}, { + 3.826690243648448*^9, 3.82669027862706*^9}, {3.826690456664895*^9, + 3.826690520382658*^9}, {3.826690898071693*^9, 3.82669090610845*^9}, { + 3.826692515826572*^9, 3.826692533007381*^9}, 3.82670162387147*^9, { + 3.82670184991155*^9, 3.826701874003833*^9}, {3.826702162046224*^9, + 3.826702241618444*^9}, {3.826702341525023*^9, 3.8267024011092033`*^9}, + 3.8267029132926064`*^9, {3.8267043315841637`*^9, 3.826704348897113*^9}, { + 3.82670441337815*^9, 3.8267044283074217`*^9}, {3.826704488913788*^9, + 3.826704682709749*^9}, {3.827311002563683*^9, 3.8273110050313253`*^9}, { + 3.82731291682694*^9, 3.8273129364813004`*^9}, {3.827313273931139*^9, + 3.827313277014419*^9}, {3.8273138936172657`*^9, 3.827313907387122*^9}, { + 3.827314317056917*^9, 3.827314349768752*^9}, {3.827403300422056*^9, + 3.827403329521542*^9}, {3.827403364231567*^9, 3.827403413273176*^9}, { + 3.82740346388873*^9, 3.827403465257526*^9}, {3.827403637612239*^9, + 3.8274036948725967`*^9}, {3.8274042931449947`*^9, 3.827404366191257*^9}, { + 3.827404476846328*^9, 3.827404505070945*^9}, {3.827404633286364*^9, + 3.827404704662177*^9}, {3.827405389478166*^9, 3.827405403873219*^9}, { + 3.8274056832177*^9, 3.827405691285771*^9}, {3.827405725449628*^9, + 3.827405777701666*^9}, {3.827406005085145*^9, 3.827406139307983*^9}, { + 3.827406172667287*^9, 3.8274062535531187`*^9}, {3.8274063075212507`*^9, + 3.827406310193207*^9}, {3.827406349241478*^9, 3.827406387862585*^9}, { + 3.8274065351100483`*^9, 3.82740663642057*^9}, {3.827406686433227*^9, + 3.8274068385420847`*^9}, {3.827406871815476*^9, 3.82740687874862*^9}, { + 3.82740693712918*^9, 3.8274073339286118`*^9}, {3.827407384652878*^9, + 3.8274073952582073`*^9}}, CellLabel-> - "Out[412]=",ExpressionUUID->"6a66e6a0-91bc-4c05-9585-7fd8fde00881"] + "Out[786]=",ExpressionUUID->"83666f30-49e7-43b4-80f6-e48366afbcad"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ - RowBox[{"Plot", "[", - RowBox[{ - RowBox[{"Evaluate", "[", - RowBox[{ + RowBox[{"GraphicsRow", "[", + RowBox[{"{", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"Plot", "[", RowBox[{ RowBox[{ - RowBox[{"F1", "[", "\[Theta]", "]"}], "/.", - RowBox[{"B", "->", - RowBox[{"ruleB", "[", "h1", "]"}]}]}], "/.", "sol1"}], "/.", - RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], "]"}], ",", - RowBox[{"{", - RowBox[{"\[Theta]", ",", - RowBox[{"-", "\[Theta]c1"}], ",", "\[Theta]c1"}], "}"}]}], - "]"}]], "Input", - CellChangeTimes->{{3.8176233124650707`*^9, 3.817623348286018*^9}, { - 3.817623414269414*^9, 3.817623458216208*^9}, {3.817623857421668*^9, - 3.817623947337986*^9}, {3.8176244336335487`*^9, 3.8176244577469254`*^9}, { - 3.817624497193656*^9, 3.817624500892652*^9}, {3.817624532809559*^9, - 3.817624535743273*^9}, {3.817624582381755*^9, 3.817624593129384*^9}, { - 3.817624645730153*^9, 3.817624809282262*^9}, {3.817626169490147*^9, - 3.8176262061761208`*^9}, {3.8176374709933147`*^9, 3.817637472394459*^9}, { - 3.8176405306118803`*^9, 3.81764053152619*^9}, {3.8176407139007196`*^9, - 3.817640715271174*^9}, {3.817663620966742*^9, 3.8176636222101192`*^9}, { - 3.817666515543281*^9, 3.817666525799995*^9}, {3.8182295108588133`*^9, - 3.818229514729796*^9}, {3.825763420857007*^9, 3.825763423952325*^9}, { - 3.825763628148033*^9, 3.825763629516108*^9}}, + RowBox[{"h1", "[", "\[Theta]", "]"}], "/.", "sol1"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{ + RowBox[{"-", "\[Theta]c"}], "/.", "sol1"}], ",", + RowBox[{"\[Theta]c", "/.", "sol1"}]}], "}"}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{"F1", "[", "\[Theta]", "]"}], "/.", "sol1"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{ + RowBox[{"-", "\[Theta]c"}], "/.", "sol1"}], ",", + RowBox[{"\[Theta]c", "/.", "sol1"}]}], "}"}]}], "]"}]}], + "\[IndentingNewLine]", "}"}], "]"}]], "Input", + CellChangeTimes->{{3.8175672854849167`*^9, 3.8175673108365*^9}, { + 3.817567343605356*^9, 3.817567515945986*^9}, {3.817567689779602*^9, + 3.8175677001061993`*^9}, {3.817567852209393*^9, 3.8175678553653107`*^9}, { + 3.817569677608418*^9, 3.8175696880410147`*^9}, {3.817581502775428*^9, + 3.817581583359663*^9}, {3.817582250277421*^9, 3.817582268443882*^9}, { + 3.8176137509420633`*^9, 3.817613772032806*^9}, {3.817616947220008*^9, + 3.817616967115974*^9}, {3.8176195353257837`*^9, 3.817619546043696*^9}, { + 3.817627764775979*^9, 3.8176278238158283`*^9}, {3.818229824671139*^9, + 3.818229831606958*^9}, {3.818233166561644*^9, 3.81823316664911*^9}, + 3.8182444139503117`*^9, {3.826008373734087*^9, 3.826008396493952*^9}, { + 3.8260133301047697`*^9, 3.826013341448687*^9}, {3.8262579425793867`*^9, + 3.826257945562812*^9}, {3.8262722789033747`*^9, 3.826272320344923*^9}, { + 3.8262730633574257`*^9, 3.826273080500946*^9}, {3.8266895575810003`*^9, + 3.826689557772312*^9}, {3.826704552638647*^9, 3.826704584318801*^9}, { + 3.8274034730303087`*^9, 3.8274034795895233`*^9}, {3.827405094243422*^9, + 3.8274051038912973`*^9}}, CellLabel-> - "In[413]:=",ExpressionUUID->"a4f082dc-c86b-4fae-a5ca-c1981cd9d9cf"], + "In[783]:=",ExpressionUUID->"d41a0bd7-fcf9-49ad-ab2c-6c1fb49d80e4"], Cell[BoxData[ TemplateBox[{ "General", "munfl", "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ -\\\"4161.665479053276`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ -normalized machine number; precision may be lost.\"", 2, 413, 222, - 31534864382615644419, "Local"}, +\\\"100192.92231710025`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 783, 487, + 31545628048664738478, "Local"}, "MessageTemplate"]], "Message", "MSG", - CellChangeTimes->{ - 3.825763629844384*^9, 3.825763661394606*^9, 3.8257637318798018`*^9, { - 3.825763859748637*^9, 3.8257639185693693`*^9}}, + CellChangeTimes->{3.82740733615094*^9}, CellLabel-> "During evaluation of \ -In[413]:=",ExpressionUUID->"cf9578aa-366c-48cc-bb36-0941b2af75c2"], +In[783]:=",ExpressionUUID->"ced7d64b-20bc-42c3-b577-c706eee45834"], Cell[BoxData[ - GraphicsBox[{{{}, {}, - TagBox[ - {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[ - 1.], LineBox[CompressedData[" -1:eJw12nk01P/3B/AJ7QipFJWEsoSyleg9yZYlu5AtIhWFJCLGNvOukCVLlpQk -lYpkz9xJSIUsUZZPi33fkiTxvc75/f6p8zjP+7r3Ne95LzNz7HC8YOLMRqFQ -tPGfpf8paQ9WPdOeBIp777CfrAdcf7zV6bfGJNDcrmfP+XjA+uL4cqo6ep5j -dqDcA8Sbw72aVbE+LMd/g64n6K926ZzdixbelfPfCS+4fUk894gQOrDJI9zF -G/Yde3i8bWICaD7cpMMOX3h1YvsLkTH08VNbbK18QfNMIqfb8ARQeknfiWhf -sAxjvF7oxVxlD/FtwReCSk9LiXagifD8Xy1+UCu+e/F8FdZ7V35gefqD82J2 -Fkcy5trXAlc5B8KanXxx6xMxv2m5Z1t8IORq+QeJ3MJ8uUFTc2UgzEUaWFKj -MNeqHt+xMwiihKZWB4RgPkFj2HYEQfGBg+4/z04ANSPhxqU0GtjaZlqxuWJ9 -Z+z7Ry9owBbMpcXrjHnZQaf8tzQwqPm2TdYe13PdatGepEGXRVjDWVPM6+7N -XlUPhrXedfJdByeApcvQtfsvGHITlYQn96MDs/zWTASDRVk6J0UJ1+fIe0Wz -hcBdNq/erXI475jIa8ldIaAQszHRShTrbz4qSz8fAnbP7OcaOLG/n/kB1kwI -ODZ2BweVjQNFcLTBeTQUnHmEJZcVjgOtx1H5/VwouBraNIXkjgOVpXp8/aow -cK/7JEJ/gDbeZWsmEga+76reRNxETydlxZuHQeTrh8uTnXA909lKsSgMoik9 -TwXtMPe2r5ipCINYQtgizRLnVWlKpteHQVJ5UtZdA3T5xcAHvWGQUXJN+6Ey -rk9S+naDLxyK885de7kW80dvBztOh0PZxMO9Sisw77h+T8grHJiyPW1FFMzT -9lhrBYTDm6c2kmW/xoAVdUXLPDoc6h8ZfHj9bQwoDUK6p4rCofueLNfH/DGg -CtZrOyyjA3fsz+jBE2NA66o3jA6nw88wt490C3TYjTfLIunw5XIvl6gx9lO2 -sHe4RYf7tp+v22lhfsX/bG8GHfZLlIU1y2E+3aPFC3RwYoX4li/HeeI7T7FP -00En/2+hNQXn7WNUGc/RQSbL+9fvuVGgVFbkRFEYMHvDxWvfBLrvkf0nTgZE -Hdd1e9iOFvtwK0aUAcVjvA4xz0eBOl5Q1WPEgLQf1+/IPB4FlsvXeVELBoR8 -Yv/vQ+Yo0Hi6fpudYIBB6S+rFcm4PmFdeJgzA7rC20z9wzCvkVwp6scAzq33 -tJ2t0POWT73TGDC5bgudzQyt01xdco8BrWxxlenHltbfrR5/wIB7A2GH24+g -G1yYMs8YoPTS9aChDO5nf5v7XDkDTurJyR5gx/1oR1753M6AwLM3Yk7+GwEa -ybnJ/ysDkq/1/bz2ewSorV0S3F0MaH6bWtw+jHlrPjv7IAM0NVarB3zC/Jtf -icQMAxydTmVm1mPOyXdQ7w/2C4EVdTUjwDpk02Qzz4Ai1qUPW8tHgFJ9/6YR -GwkSal1m8ADXV561C+AiQctGrag/HddvhIfCPCQ4+idt5knG9aCXXsBHQkrJ -sa8OUVj/wLE7bxMJXEplp9kuo0+aV/wSJkHSfON7SU9c7z5O27ET+3l7Spue -Q9/pCjokRkLQi12T9+2xn/AGur4ECZMyt65o6mAuq3mvVI4E7mPjne7q2I9v -xMhrH/Zz1yUSVNFcXHWCCiQ4PaFw9Muhrbdc0FAmgfb+hMs6Kex35V/hm/0k -pA4W1iiL4et7qLNOUYWEll3ukeRm7K+yXmFMlYQprZrx3PXoe+07lA7hPJed -Jm1c6NPJjh4ECdqZbRsl2bDf++xtrw6TcOqNgp/J/DCwPsWX1qnjvK6bHVdm -hoFypnio8QgJJcJadz8MoYt/a7/QJKGVuMc23YP1JtzxUVo4z27+lNA3NP1Y -oa02zgs8/lajDeu5Qsu265AglfZCwr15GKgNji8/oXVecUXE16E5Y3IDjuL8 -Dtex8rdYfzkNNuni/Lk3Rn2vsd9JjskH6LTN2/O5X6F/yJjt0iOhdP+VDcqF -WD/mNZuCbj3ectk+dxjPp/Wj7Pq4Hx+5dsZjrO+kHrZHr0u4oZqbifOcBTie -oaUL+u58uYPmeqAxgdb5dHjZsttoo2+84ga4n5+pThJx2M/h6RVDdDDfbJVx -JOaa3ZFuaAuJ8t//MTCvbksNQEtSQyTOhuC8QucVIehFC+0TMwFo/7OtS/kn -d87IkMu4Xz6mgDv6UVgjk9sLczGJNhN0YErCRLLbkk/vlEGbvjghsus01tuK -sy/i/na/EzbLP4nzlq8Kq0L/+9YbTthg7ng3LxjdNPO46IMFut4nUR6dxeUx -eNwY678sP9yBx8dfVFGwRw9z87ISX7TRwTl9Dy3MvWc5OdGiJhA4T8W8lVcr -Ho93fdDRLn4l3M/10YRr+P7cT+DmvyeH9SsEq6bx/fN92qy5RwrzQ3+XW6B3 -dNg+0hRGN+8cmcPzYWZSpKNxCx4vdp+Hh9DvVw1w2m3A/mVR93zx/PFW8vLw -WYP9HDOvfsTz66iBcgbb8qV++pdG8Pzbdmq+OWpxCGjpPJ8X8fysiaErP5we -Ahalin0NlQTB0eSFz1/Rc0pSTw+SMMHuIHeqbQgoohfSAvF6qNwi5jjRjOuX -Ha3XOkDCeZ3nVaveoS8bxZcpkVBx/03EgfwhoNqYflHeS0JiKcmseor+cMOe -JUuCW6PBhHE29jOU/E3IkLBh8bPp2TRc35kXJCpFgqv1yJYUBta/MeIMEyVB -zTNPf1fIUr8ze6pFSOAjfQLzA3D9Cq5ni3i/KCugdH3wxDzx7bTlVrw+eDc8 -mj+B/Z7defBgAwkFb9WU7eQwT3304zkH7m9Nb8QlSXx9dclxB/H+VW8Q0RUh -irnOZEv5IgP6mtsjywSWXq+kStYcAzZ+v9wjsAzzlbcrVk4wwGc2L6a5cRBo -q0dKNrXh/f+gVf/Qh0E8/3Le8rbi8yOQosZWPQgsuzeb2ZsZkMVhOCBXivVB -VoUfavH+zjNyKCoDfcxq4Rfg/VxCfETnIq4vW7euOJMB6m51hx3cMS8oc5DC -58Gx596Jl09j7qaTnoDPCxfFN+pZJ9BtuWvNExiQcNjhNrsG1n/f/8qLwYAZ -q2QtJj/m+3/KqLgyoPA69z35wgE831umVPF5lhk8FeGSOwC0keNtLdsZEOfb -6nv78QBQT7NvdxVkgIfLHaPFOwPASmgf9OVjgJS6DOUDA3O9yTP6+Ly8+8fA -3tEK852qthXtdLjuGrk1Zr4fKCkydSI36GCnxZk8pt6Pz/8o/VMd4bBc0do8 -XK0faFoRjN8t4ZCzM5tHaD/mPkpZ9IZwmKNoMI7u6Qdq2p3MpKpwSCjz987c -hP3kpImI5+FQJzd8zHqkDyj7PLILQ8JBVfA9e3V8H7D22xxXEw+HLRMM97SB -XqCwhqz3OIXB/YdRBzZ49gDrg4RlUGIIEAbrv9P4uoH1b7MUpZYGIcOVG5pK -fwBNQlUydeYqxCYu0xjR/A40wdVsi5Qr4O7ke3u6+T+gPD8W5mfvA4b57KkZ -P9qB9Zny71O8FwRND7wS/PcZaJvXKQhKnYdW3vexAbotQOERiK0UdoV3uq+t -Ltg2AU3u3wsTBUeoBtcncRofgaLIVnY5xxo/bzdy90ujixrHNcKtodHkgJfK -BvTRt/bSdtbQ2bv6wI/eeqDcX8mny2MNP9c+qZZhoNV9M19fsgJhy9Ef797V -AcWKEpWtaQlXJjwFKIa1QGGI20f8MQeZHf7hblbvgFKQs6CXbwyHVFoPy6ij -63LY/eOM4Zjp3oVxSfSrHxurLhrD+fB+n4vzNUBRcKQ9VjCGZ4OmrlfS0e+z -VpcVGYHsC2k9svctUHw3OUyEG4Lcka88mZ7VQOHYW7qxUw+vywN1ztZomZQt -hvf1wOjSrWu7jqAbdFbCWT3weKjL9oQfvVEhV3NOF3LXFv3MK6oCysSaM+OC -urD3081W+FcJFPrO+PIzOrDP+XBqx7U3QPlEN7shqwk7bTUSpL3RA7F/ty7T -BH5z7eirdmijxXVdTRrwW8MgbLs8WuPbnQUfDXglauXm1FkBFA9+0euvj4B2 -j4fqsAy6aU5i0l4dbJzuds41s4DyvSDEIYwAgxP3W/WYaP0zjfPyBBwyzWpI -zUaviiv6130IdhzJqTx0Fa2je3WP5iHoEynOCRFH84cYanGqwY/K9D/8U0yc -z/f99FMVWPNm4YCC6iugRC/PLT+oBFn8Gw1kudCprevNpxRB3WWPg+TXMqzP -9zj1SBH8V9vQhWnosJt6wwKKMGJY0sRZWQoUy7y55H/yUN958VyvXgnuNzUp -8r+9cFbmRuB3ITTlTu7jlL2wgpYR0zFajPVcN6nWe4HY2VjUeBOdbfux9Ysc -5J6R4WA2F+HxCDW1LZKFmJmB1IQThei7L6QmpEBGh5IbI42W87p9zV8K3t/e -9CbiXwHmJn7tK6WATU1rMCQdnfvb13ynJHiF3le80P0S7y91zBfOu8GMx65e -+1w+1lsuFxIQAwHJ5sXZK7l4PTbIW7tug8sHVKL4DNE8glJX326FVp17QtI7 -lxxdobd7K4h//OrFTHiO9SylkTFBENLd1Hdd+RlQqBF9qtGbYSWVrN3p9wQo -Dq3r9+3cAJV2FoMWO9DfhY9tSeOHkKuiK66/e4z5udTnAvwwX8oiJjajWddr -fvCvhynFPy9elWZj/Ysklx288FXq7G3z+QfoqDUrNq6FVN39hWQmmiJ6+Qax -BqzOrGgu00dTm864u62GT1kZnCJpmdhP1UW7YSW839ERNKZ2H9dXHjrO4gCS -+ih1R18Gfn82dark4ABN+8slZlFoWvrqm/rswEpd/7P06z3c31ZDtb5lULBJ -34URdBfz6dhlYQtML6UtoaW70Kxlm0rV/zEdHjcQHenpmPsay66aZ5qLrc5/ -SL2Dbn5m9PAPkyp45TY1JAX9Td5b6RezzHJjc1ZTMu7XJGWT1DRTKeEFJ9fO -Jbft8hP/yZTmHQ5qe5OEPmh6ee8kc9NKGxev5QlL+7OukRtm9rGiTutZxePr -j3dQiRpkvrzy2lX06S207ZPM2X6m0Zj4uVazOHQNm9N0D3NbtpXb8+xY9IGw -ovBu5ujJCHdyPgb78SssF+1iXm+ZvKCSGY35qr7N674xc7cd7RKfuIm2qI+6 -3ck0iH3W8yUxCv3u4W+1dibdz29Qtf8GWjEx61MLU2T06/BY1HX08PHR6mYm -OGiM3VW6hlaxl2huZM5qr/vJQaej2z9zXKxlxpd5/yrcE45W/0PsesfcJ9v+ -27UldOn9bDm9rppZn0HMbbkagpbsDpB6wzy38cF8rWjwkuOC/FnMdfwbFv4l -BaE1kr8vlDF1/n5jcxwIQLt23TlfxAzperyyWvkKWue5ilY+s+zdJU5JxmV0 -9JEza58zp3OpvFGt3kuvN2GLdTZTJmntxikxL/SE5XXfDGb9Qo5iztB59N1v -XnXJzMN16oT3tTNoDzXjo7HMlylfdFR3n0J/l3B8R2cafOrMXBVli6ZVGAT6 -Mvd5ripO+mCy5O6aj05MOSHXBGM+Kppy6tGsKpM/m43rwHsxYumnoJd31zBV -PAaFzv/WXXKS6Ckz5n7Bo3/FD1miWXw/rngwJYDbW492cikvc9oTzCyc8D0b -+sMFTa23sYlkaoh0O5Spu6Ebfkk7JzAHHmU9+dPogeaxzylLZz6v6MiKD7m4 -lKe2WD5g+nTwZOyV90F/H4u7/4SpOq2ZVtftixbavMo+j8nO5Z905pY/evaR -qFkB871YbtxyzcAl82zPK2HqpHu9bbhCQxs9mLnEZOZIcVVtaw5GKx03b3zN -9NJQZ5WGhqF1LzfdfstsbegsX9UZjl6TP/3hPfOA7eUyCwUGOvsM+756JsUn -p3Cq5xq6VWCqtonpxKb9kqp2A60S2173iVkd9SMvKj4C7S9ZPNDKjHy48amk -1k10tbuxWwdz9raluaphNFr4LGfLf0zJ72JmTn+X/DPuP6nvzEg3lnGeaSw6 -TtavpYtpFv5L34AjHr3Ia1c5wEzXuPpxHSyZ6bMxbIg5xL7cpMkvgaDQBk34 -TEeYwSH8x4+PJ6Kvx55ZN8F8FiR/8mR7MtansoqUppl/DpV174xPISjU82xp -pr+YGgvqLn2GqVi/LVrEd4bZEWBy7lxVGua65VxfZpkc5cWlKpZ30TXmdj// -MR+nzv9NKUDT1v0mDBaZhgFUtX9899DR3A7HKZB8sAagDv2d/6pB5TKQK/1c -qXHkPs6P+dr2gQNsi2bqj8lkERRh8vrtmLXAlqjCk3sDTbmsdt6fE7J9Ao15 -B9F3kwbWneGCacUVn5rvP8T5vwJKDNfB9Zcb2iw3PyIoPFtPGz3ghcI8hW5H -jhyCkjvxSO/vBrCJ8RWtPImOruONi9oIyzxfOYsBmjrnCzs3gb6cxkC/31OC -4rG6vdpUALqfmY66jT/D/Yr1RrzfAqssSvwPjuYSFJbP5fOrhUGAXHuvTiAP -7dyhZiMMu0ttq+010Ll+Gd+eC8PRbWy8YSno2VtiyVY74Hqfblbt0RcExfc7 -OVgoAlyXOxtss/Jxv4z03iQx4EtaFKPZF2K/+oWhP1Ig8t5Yj+8Guqbu65CL -NOybv++RWYgmWWpln6TB1EGnrIariKDsF5Sve7EHbu2OMeJ9hWY5cb/0lYWN -JSL+GQIleLxiWpnxe0GwXbOhsrGMoGgkWKklKILXY3rrP8ornB+ra/9NEWqu -vO1UkkNPJKjP7VYCH8Gjg9lRaFY0T0q5EjTY6LNF6pVjfUcqfUQZ6N9MFMyr -mARFtWBk1kEFfKdka706WVg/K/7jPgGZ1kaG66bRYeV+K+cJ+Fjh0fRk7WuC -cmi7j4kkFcTj8r70qKBzE30yQqnQLC/fa3EbraXxeu2BwyBzSWlBxaKCoHzd -0fP3mTp0/1aVY294Q1DcKteuf6sJYdFnrff2oz8pUhL+aIKoRFKY/QJ6y6K6 -sbQWuFj//FImXYnHvy/SI1YLhl49Cva+hg5LlTE+qQ1TwRube9WrCIp4wo7Y -1UeBwjlxqaagmqC85IypDdWHrcL3yyJT3hGUkH4lZ24T6GzbnS2dh3Y6bWkr -bQKpcc9ufahG81i8c9M1AaGVpe6rp9DfDcMb6SawZaxhe7jOe4Kia/M5j2IK -Aq8WQgN+oSu8T76bNQU+S2v9c4a1BCWOd1FmzhxWRvP+p8P+kaD8jvqTQrUG -+x4J7okLTQTtdv/9pOOOECf6cdZUuoWgOeb/Nf9+Gvwubqkaaf9MUHYxrBkd -7lCVZXj355t2gtZsm/7KwwsG/5HVfP7/EdTxwMMNQ5egRKj1n6HSd4LWFXD5 -Y6sfnK0dLBdJ+EHQsiNOlsVeBe/QhrF1410ES1v2c1gqDfKkpXcpOPcQrD3C -skZkCLT3rw4/VdFLUKRGqVeVwiB6X7rIsRr0ZrFVHmphoHlVgaVc30tQk2yD -7TXCIJfP/u+advRPMy8FkzCgq730zJvE+oOT2QXuYbA3zs5uQbiPoHFG7OHJ -DAPyUL5yUhA65Hj+HFc4KMXbDH1Q7Seogalmavj9bbV0weRt9X6Clld2Yx1+ -v+us4PpzWgf9s2fZf9/DIXiCuZLDrJ+gJPbcPDMSDrV6O8RUz/UTrJPynjrs -dHBi67PPuY15L6fkJjk6RF+40BIxg/luG8XqcMxX1HRaz6OXdUZNXaeDUppw -z262AYJq9Y/YHE2HzveNU5Vc6E9B182T6bBLXIHnn+gAwTpydYB8Rgdm56yu -u+kAQWkZmWhuocPw0RCWQS7mqVWzFfh9d8Wgx2xRAa4nV1l/28kAYdJeTqQM -8/Mrxn7tYoBFterdmSrME4/G8soxgKX+Oyi9Y4CgWcusZKMy4NZBN2JyxSBB -O1Vx+rUdA561W18+wTlIUFcbZVx1ZMA7v6PPq3jR0evT5F0YsFAkvj1ZaJCg -EEUFEe4McFX4saC+D/NCs/tT/gxQ3WPBvGWL/aIjvtATcX6txsyCI1qqIrYj -mQGe5+RlzriiA+fjJO4wIOsRzx21i+jig/p5mQzgEf9wtY/E/k88i87nMaBn -G1Vt/0vM8woCkt/h/HKZSxklaNnJ0aBaBmy23fqUE7DemiVm95EBx1LmhH68 -w/3oTbzlaGFA8aaC+WvfMOcpHPnzjQERPJKvOtYMEdSbcscCphlwIVSpoZRn -iGB9Be1tvxlgMqPec3vjEEE5VbGj6A/27zzBaSkyRND05HTrFnC/DyNtPh3A -+tM+stdXkXB9S7JHPoH14iXjP9aQ4B6ZFRarifXRxopyXCQoXIQcI2PM21eL -5PKS8PrQ5HytK+bHgg6obiEhM+8fT8559M2nnVpCJJCia8RueOP+DKeytLeR -cGzNToOjNJw3nE2TEiGhs8UsrSoR6zWO/LoiQQLonMzLTEMX/rmqKEVCRpl7 -Veh9nJetWtsrTcKZe/TRw8+x36l0xi45EmbcitWY1VhffXSLjBIJbd8qjdNq -sf9aJY94ZRJemTQ6BzRh3vZUfGo/CaH7hyJVvmIu+iz4xkESXJ7M3Nvcg27T -4axRJUF3G3vh7CDaLO7NHzUSeDiEvhb+wvW9RaGqVBKmfXZPxf9FG0t7GRwm -4fOgwopLy4YJ6p8wS1N1Eu58NJCR5xomKBsvfFbTICFY3Vqdb/0wwXq93VxE -k4RTBS4WkwLor1O3/qKlUoICn4uiX8SIRiz9fswdERslOUzQRBcsj+iQMEVL -ynKXQ2vWC4yjW35mluor4TweSYubR0kodsmrl1LFecIS7KK6JKS2lXetUcd+ -KU28T9FB+u9nBrUx59/qLalHgiO0rnlngOudxwRT0Vr7urdlm2J+R/DvMn0S -JB6M72NY4bxOV3YbNKfAvJaLPeaK18Qfoyeurzqh6YyO2mYxgm7+x39B9Bz2 -Y5SEihiQUOixI5TdE3OLtrv66OTuPYldPphnD985i75qofLkdQD2D9W/sPT7 -sMM7LbgbghbTYl/6/fiGxiC7EIn1K/iFl/JCuKGTGImvp7/A7xz6h4pMJF8c -9v+1isMIzVnY0BiZhPbpfCGBVt57cePqO7i+eNJvFvfnmLPhRNh9zP/81X+F -jtxVnL6Yjf2O3t1+CV2cYd1z5RnW+13qFUF3b/23eyYf9zPPHluFx4f7drq7 -Zwm6sUrAFn2AX/3FCBN9Ttx9EI/vqZs9M6crsV98SMhZ9M01jIPd77Cf9W79 -7/j+lIZL0Ow+4vxhi3JdNE/A+dXm7WhjitM/fL8P/uY51vAN6y2fXdVEu3jl -x+r1Yj9rPc4QLTx/XWcF1ScwN+Mx/oLnU393skP5L1wfOjEyeYQEPnu1B/v/ -4n5+yNYs4vnnah4iI7tihKAG3Vw5i+drXIPoxcdrRwha8KBRF0ECU+9tkRgv -enFDJusQCfzqnIeFhNDDD/da4fnPkkkwXb0P12fZnZ3F62n40f6kMGXMo91C -gxVJ2CjW0bmoOoKfR7bvX5AnwU1Q2GVGG90rpNqE16PAqse+3bYjBCtEQbgb -r+cjofrldk7Yb8UDcuVuEs4vjC1rd8X6UGLLdnESKqflbzRcxP40+8BdeD/w -+FGeVn4NbaCSk7KZhBQbh679N7HfClfW8U0kVH9m2/XyFubaL+krNpAgVK+d -+zgdc3rxyEEeEmpKGysSC9A/4y5wrCBB+FZvv+cPnD+UkLgwhvf3E3oJjX1o -gWHbsWEG5Inkaewdwf0M73VtGGCAel7AvYkZ9PSxNee6GOBUv/7EBc5Rgjam -Vzv7Ce+Xq9Tr3ZTRhOkh1yIGjH18GFCrOkpQ5Sc+eOczQDmRS0pafZSgwJtk -r+cMqBFrYwzrjxKst1bFhx8yYFDd4/BZR6zfrcAvncAA6at3Xp6OxH7KEStF -PBngrcHh9DYW1//HSaq4MaB87VneXUloGQ65I6fxeZCseL4vA+vp3jmitni/ -L6rd5VyMXmOuL67DgBeTc8mO3di/qvbSekEGzBU7HK0YwPnHyiPENjDgCK36 -944x9A2BRPF1DPjEHWv2YxatvknxFxsDZqQkuB24xwiWVIFlxSAdDrgcD7Y9 -gLaMGVr9kg66yzrW7iPG8PN1ZO7pHDrYpNolrNDEfCro0/NMOgQ2OT95boTm -N65cuEWHikPeLctcsf4Bj+Atbzrob4qRyEpAT8kXh8jSwfYF/8srqWMEzfP0 -bV9xOpw3SDpkmIHrd5v8sdhKh5jQdNPZp5i/ZS+sXUOH1vGnV3WrxvB+8is5 -qScc7GveN479xJz+YW18XDh4OB2zefMH+2+I8mC/Fg4hC419iYtobY6DloHh -kKnQ9pe6dhw/r7V7vnQNh4G7/WJxIuME5ailu7xqOHj5cVxRNkanPemQ/BoG -4ZKHRGjPxgnqB5rOIGcYfK07/t9EPuYf6dwfFkNBydMz6WTJON4vC0Rip0Jh -oCiT+0gl1utH3fn4ORT0Ndf+Xd6O83ZfymO/Fwpr5EYGq9gmCBaj6vYemVAo -XOanHbh8At+/E93G20PBqXn5A6VVEwTFMnTWkicUXvlsd3jIhV7v9IV7KgTO -l5u0kgK43k89lf9lCDTqllToyWBeLqXrsC8EAoW0hDn2Yi7vLpm6IwQkx5qu -vpLHXOTMZBFPCITEjOzfcwCdnXI2aiwYFL5sf86tgfOnjC/kZQdDkjM9pdEK -XZ+ocG9jMNjTTL2Ph2P9txMuEs+DoKkms96BxFxy87OPQUGgwTuz++wN9PkJ -7/VGQSCZkfRfQAz65xNXj/FAmH7zn1ZGGtohL+eMRCCQK103jxagF6rE71wL -gDnDkoszxehaeFxiGgDuSWvqF8tw3keBmVNbA8BE4mkIXwU6ft+Cy3N/ENKb -Glaux/qilhfzdVcgNyqAGdKH+eQWo6BpXxD5XCcQMYgOFU7bXOQL8du3X4wf -QTcv27zPzxeu5L7elT2FPncs+Mvfy6DRtCKmbgE96zzSMucDXzbEOAlsmiQo -7BfKTL56g65dV/mOLejnG2x3J3lDeZa8gNTWSYLGf9TzlLE3ZCi31qrtxJxb -pW5VxUVwsxJUcpJF35L9XJfiBV/vuUW77Vuq39OaYeQFxkPlQ5cUMY96Ul3P -4QVK/g7p5EF0xroSkXOekP0m70/MIbTe/r1aWz1BkJPdLOXwUn1ueFG9B0SZ -mT3L1MB+nO6a3kEe8H9/X0T8/98X/Q/+dHbk - "]]}, - Annotation[#, "Charting`Private`Tag$31248#1"]& ]}, {}}, - AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], - Axes->{True, True}, - AxesLabel->{None, None}, - AxesOrigin->{0, 0}, - DisplayFunction->Identity, - Frame->{{False, False}, {False, False}}, - FrameLabel->{{None, None}, {None, None}}, - FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, - GridLines->{None, None}, - GridLinesStyle->Directive[ - GrayLevel[0.5, 0.4]], - ImagePadding->All, - Method->{ - "DefaultBoundaryStyle" -> Automatic, - "DefaultGraphicsInteraction" -> { - "Version" -> 1.2, "TrackMousePosition" -> {True, False}, - "Effects" -> { - "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, - "Droplines" -> { - "freeformCursorMode" -> True, - "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> - AbsolutePointSize[6], "ScalingFunctions" -> None, - "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ - (Identity[#]& )[ - Part[#, 1]], - (Identity[#]& )[ - Part[#, 2]]}& ), "CopiedValueFunction" -> ({ - (Identity[#]& )[ - Part[#, 1]], - (Identity[#]& )[ - Part[#, 2]]}& )}}, - PlotRange->{{-1.08, 1.08}, {-0.011866584606390673`, 0.}}, - PlotRangeClipping->True, - PlotRangePadding->{{ - Scaled[0.02], - Scaled[0.02]}, { - Scaled[0.05], - Scaled[0.05]}}, - Ticks->{Automatic, Automatic}]], "Output", - CellChangeTimes->{{3.81762333834346*^9, 3.8176233497856483`*^9}, { - 3.817623416062337*^9, 3.81762345918757*^9}, {3.817623881680962*^9, - 3.817623949604845*^9}, {3.817624440474684*^9, 3.8176244586045856`*^9}, { - 3.817624497853997*^9, 3.8176245014514923`*^9}, 3.817624537275628*^9, { - 3.817624585218245*^9, 3.817624594015519*^9}, {3.8176246351419277`*^9, - 3.8176248099871397`*^9}, {3.817626201171485*^9, 3.817626207195038*^9}, - 3.817629092963571*^9, 3.817629135304832*^9, 3.817629511298234*^9, - 3.817629576664672*^9, {3.8176374666375017`*^9, 3.817637473634259*^9}, - 3.817639798078849*^9, 3.817639833944018*^9, 3.817640490911343*^9, { - 3.817640528768524*^9, 3.817640532508259*^9}, {3.817640698745162*^9, - 3.817640716239604*^9}, {3.8176411418589973`*^9, 3.81764114787577*^9}, { - 3.817663615159411*^9, 3.817663623606195*^9}, 3.817664111761855*^9, - 3.817664276359878*^9, 3.817664465371686*^9, 3.8176646170967903`*^9, { - 3.817666511582511*^9, 3.817666531246264*^9}, 3.81770720809378*^9, { - 3.818229491823327*^9, 3.8182295150306177`*^9}, 3.819021204122011*^9, - 3.8257586495340567`*^9, 3.8257606242254267`*^9, 3.825760670974965*^9, - 3.825760759173256*^9, 3.825761103961973*^9, 3.8257632710358343`*^9, { - 3.8257634161536293`*^9, 3.825763424260901*^9}, 3.8257635508464127`*^9, - 3.825763629917418*^9, 3.825763661435254*^9, 3.825763731921239*^9, { - 3.825763859783297*^9, 3.825763918605729*^9}}, + GraphicsBox[{{}, {InsetBox[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwt2Xk0VP//B3BrWpSlIqIkiQhpQ3gN2Upoo4XKUtpkKR9JRUmKpE0lS0JZ +UkIRoteUVEpSJCTZ97kXY+bODMPv/s75/jXnceY9c+59vZ+v1/uec5d4+m0/ +JCYiIvJFVETk/z+tlXO0n2yXYL5o/2+lx69rb3fOWW4Y6CTB5B+JXaQVfhQ9 +xdJNNm6RYM7MkxtlnT2DFwYS7NutJZjSrMKJGr8oLCuNPqFqLMH04/AOvN/1 +AA1dj+XfXSzB3DRdx7xleTaqJWkbRw6JM3MWqG2687kYx1Wz7A5HijPlXM3l +BmZ9xsGbdt7jWWJMdfO9e++c+I1KW0xaNjSLMpVlFv00cGzDvMpxBbnfosy2 +qmdQv78NbaF8W0+dKNP0iKPtCb82/M+Q8enmN1FmZYyu7oWbbfhjgU1BN1OU +uV5N4oL2zzaM6t529UamKJOqSmZd29GO/NCjazoDRZme7EPVSY4d2JQfHxMt +I8qcGkmhnDW7ULdkp8xCaVHmX5N/DSlru/ACU/Z2znRR5taL0yVbrbpQ6/vV ++9WiokyZL5d3rffqwuCh4LQ5YyLM2480FPendOGC5XuKbzeKMNfPeSsbOr8b +XZKUuhJSRZgNWwuPL+B3Y11kwoac1SLM8Xj3lyYPe9Gu7rVfkIEIc8dskcKG +7F4sW/wr3WIlvf5uz8yjhb2YUSwj3agpwhxZZPjGv7oXQwYiWiSURZi1BV5e +0oJeXOLod36/iAhz7eDasKAdfdi64mro0oQpjCHeblk61YefK973lNyZwv8+ +GV+/PqMfC9yEjluvT6HHLesDxNx+vBx7cvH5C1PIWl2Cd7T6UXfUjdngPYVj +O/MzT2zrx5CSVWLRq6ewVnaAeSC1H+fb/bk8XD2JtfjkwmaTAQyemBkqrJzE +L2l/w7daDWBLnknQTJzE7LKkEnvHAXyslOCtkT+Jt7/51yzxHEDDwd22u+9O +4icyv2lL1AA6xjZMZ+6bxPLbj+Mf/RrAyPof124QQny+Ifezk/cgDlwVjUjq +FeJZ1755on6D6GC26lx2mxBdgnI6M08P4ryMmz4VP4VY8CtGvuHqIKaddnKg +ioSY/VHIf/V0EFH525wDYULMrHksFzY0iDz3z7f0ZIVYcuBYoPORIcwL+Tru +OkOIumVzXB74DeGRuJpDUWJCHCH8vOuChrDxU71x19gEKlNpKisuD2GJXnv7 +g6YJvO3nudgzdQhDJvirJNMnMJMQhk/+HsLx+zo//6ydQM9b+/t4Zix8la9n +OkN/AoVzKpWkrFjo83VVxjqtCbRyL6mYtZmFLZPrQ24pT2BE8uVonjMLyw5Z +qdtOjeMp940a7idYeG71vpMFn8cxkTPz+tEEFk7WxMpHuY6jWNXFPf+xWMg7 +ufOfjvM4tr6qdhcfZeGogvKzGsdxXMhM2RfFZWHP/ifW8yzHUdHVFc5PsbCG +eBOcokWvfxH3W0KOwIdz+lsLOQJ8buI/GWdIYHxBbs5uUoBbk3rN09cReNsl +MHi8T4DdRX9uZ5sQGPlwSs6iRUDvw+tzDy0J9NVTsK5+L8DaxMwY7e0Emjtu +zOm4IcCnkjWMj34EGo1OD74cJcCNQW8euJwi0PBejZXWJQEeNFbW+BdEoGbr +ntYTQQJ88DervvE8gXN8/eX4brSfBjX5XiOw9XryaZkVApQsXzN/+RMCG1d5 +WRUsFeCnX+2HNmQR+POXlpyzqgBTm8ck7XII/Kj66mmCrACnfa/asDmfwNzn +X/4uo/ho75dYMFpGYNg3aqPpBz7Wss38f/0kcDSm4JFzOR+3nA4JyPxFoPeW +E0LfIj6K3Dlwzb+RQMevHUWpWXz8I3wh3/eXwEVV37SlrvNR8jqjwKePrs/V +q5FqkXxsL49/Qw0QOM1uY6dxGB9vuxUMn2ERyPpYnOQTwEdLx6Jer1ECyz6k +y/x05uM54rd9zTiBBhH7fQYd+ZhxRp4rP0ng441KVRJ2fNxot/yfowiJMe9j +w9eb8PGxss/pZxIkujLPcJIW0evDjMWnpEkUvHH6c7iXh+zMhIfiKiT6np1p +dLGNh+EEa2e5KokdJpVxCU08fLfUwd93MYlVJSaO377yUKnyzb8idRLjXy97 +Z5jHw4Yag642LRKlT7epbsnm4fmgUkmXFSReWJcYciiNh0EdR1Le65B4pFB2 +TXwcD+eeZFqF65G4/uV4hjCYh+i6KiFxNYlPTxaJK57kYYBcMVavIXGRYYC7 +wXEezvI4589ZS+K0/B4lr308rDbafH6lEYkh/qlB51x4uJur1GpqTCKh71Z3 +14mHKcUv6zaakNiQ+yPmswUPNYp+RBqZkrjZN6a/3YSHXzRVNmmakfh2pa3N ++GoeUtPKs2eZk/jkWdnUSk0evr4Q61QOJC7wOe1mu5iHeU6XH0Qx6HrqGJa4 +L+ChKH//NQcLEgOfZp68M5OHJ61t/cssSVwxpmGoLsFDmUc9Dm4bSWwzSxvJ +E1Konz2dGKNt/yPJv2aYQsG9B+dlrUkUWahssG+AwsedA/53aBcdvE8OdlL0 +dV/Sk7EhUZ13y3fGbwo/39wqO0K70UJGL76Wwusyh4122ZIYey2GpfmFwuaW +KMMi2la/ZjwvrKDwhe5TkTl2JPIXXfGxKqdQZnXJ4/20c49I6NYVUchbmqWW +RftgwcVBjzwKfVYfCRqgrTwx+XQ4m8Ljdwcyl20isdb63LGwdHr9ebXXe2hH +3uBrz0mmcO6S8SeRtE2bgvqT7lFYWnA86BntUfWxLJ2bFA57e634SjvTJ+BI +aRSFRQF1FR203YqI5ZsuUSgt9dyKTVtexKf39zkKR/e2507Q/rypP8M7iMKj +qR4SU7RD73h7c/woPDVnsa2A9pq/ncsijlIo2zDzDEF7QNOjW96LQgtdhaQ/ +tB/5tz5OdaNQytqw4B1t51LXgwYuFHrs3Fr+iPZMiaal6EThtlgPDKbNdHDp +dNhEYaPmrtJNtIPu16W1WFLI3aaeN5e2bvtWz+OmFOZsfJXWQNenY0XNEsFa +Cvn6k3du044PtG+/qk9h2+aRy7a0Hd9+fqSoTeHBz6EhHHo/xKfbuGeoU3ih +5f6pJNrF2yoWr1Wh0PjNylOmtH0TGf8q5lN4I37V2V/0/jbrbdjfPp2+v8V2 +z0bpPNwMLlb1F6PQzMCsKYi2zfu1fyfHuThL9pDCmBWJ+c4GbiokFy/Pkq9q +ovPlnfJ8YU4fF9fdOGNpSVulf8Uf4w4uXs1vrEun83n13LK9u35xUT7N0mY7 +nV/zj2lKPTVcdGrU10mh8z0mo9YU+JmLBueb9Lvp/B9IV959+w0Xuzs0H7nR +/bHui4zLt1QuatXM2sGn+2to7vX5bolcTNU295GhnbZv5q+BOC5W3Cl6tYju +xzkjEjunX+Wi9EHzP1rrSexWFGzb6MtFfDyrcNCQxOGPmy+NHubilCXX5Mcq +eh79l/gq1YNe/1hiY54B/ft6U0URZy6qHWtt20vPC6ObYS1lG7iouvx9pKc2 +iZZQO9tnLRfLJ6Ztm0fPny2EGizU56K99NxnqEmix5b3qWfUuVgZ93OhuAaJ +0dMlD6+bwUUNH535ZotIjHvtHN8txkV9w574N/T8e+idURU3wUGH7FllqxeS ++PKDrS6b5KCdd1+v7AISWy5Ej7xo4KCF6bIZYXIk6vNlzmk/5mDHgeuzdMVJ +NMlyf96YzMGRVVc8rEXpftyV33rlPged0w0Dd08RuLtwu0VPNAezFg83HKfn +d3jA3WnpARwMTrGotGUTWN+vfEsFOOhbsfjfr3YCzzQvy5BpHkOT5tqGXaUE +Tj4+fnht3RgufZU7FPCa/r1fvpZr9RjKuKzqi3hFYLSEWU7G2zH8bRv64G4u +gQl6O/PM0sdwvmmWpmcagW/Cw0uP+4yhvf4nbvZVAoUr/tV8mmTjkgtXvkhs +pf+Po3GTRbGRGN6owthCn0fMY9vmjrAxsdHvYaAdfb46c+v2d7LRx9PPrIpB +n2dhs5s4n9g4Uhy6fMkqAqFuQ+fSW2wMMT76+rosgRfPxlNhS9k493OF+rEv +LLSrfbRwoSob5a6LzV38kYVzlmVDkQIbLw2ucal5x8KEmpIrQzPYmFIp/Xdh +CQsLlvxR3DM8ig81Xi45lcnCjk+qRoblo7jATNdg3iUWWs5LD+5yGcXc7fue +rVzHQonnz/l20SOo16MZpBUzhFaqOc/3XhrBrMrIHVKRQxhxPcvD59wIncPb +89rChlDCN73qhu8Ilp7YZR92agjF9R88aNg+gqmOO74H7h1CsfwI44MLR9DK +q8LRfPkQihS6ngl7NozBn9SU3MoGkTozd/R4MomSvBd2m+nnT7VlhWa1N0is +f9uT2fhtgL5fl6g14fQ59u1+scfHAUzQTFATepN4vvgG5fV6AM3r1Jxi6ZxP +xvXqaD8YwAhdvWd5FQSmlpT7FrsOoPw/O29OPwuVXNZ5CFr6caVVaHPouiE8 +Kkoox9T24V59PY2NM/sxKt8hYNbTHvT7ffyI04NurDrpNpsn34Uhj4jZs706 +MEF8qbbZyXZs3jLpuqz2L44siTt16XsLOj6P8EsTNKCA0JRcfLkBc53uWocn +1GKuhVX7St9aLPsdvqTLowKjYy1+W26twF9Ob9kaPdlYH3GJf6kzGxuVD4oX +v84C122BQt/CLHj3/NhO674KMPZo26HzqwLO9J26NehaC9LkhmWXV9WCpcj9 +SxoOv0FhUM4/+WcDnKvYmTao2go1XlGlbvP/wiF1q6lM0w7YdG/Nwbxt7aCh +WWso/6IbLmpd8VTW6ALWdEXJrz19YCKflp18swf8LHJYm+cMgUnii7AvRX0w +ozz/T3gICefC1Ic13w9A4Psujt0VEnzX+OfoVA1A6ydFWZk4Er4d5ZXq1A7A +q5/nrRKfk/AgUPO7ausA7O/b9PxlGwkl7eP3qvgD0DQjAE4uHYYf9WkTZgaD +sHLtDLn0qGGYPnavLebBIHS8Vl807eYwWCZfC+alDEK8ianO0XvDMK1cR+tA +xiCIMfys9dOHoTu05aPqy0Fo3PzrzJuyYTjYKfbtQPUghLundtSRwyA7cGYn +RzgIDdeMX0m4jEB9xUfZPfuGQJ69b9WI2wgovNLb98hrCBz2huf+9RqBeOpH +cvvRIfig9TWrKGAEdr5YNrotaAgKKt2Sj1wfgROeF9L7Y4cgdiossvrDCMz/ +y5Vmvx0C61Mfd8etHoXOHVeV9ymz4ELzwK8LJqOQZx9l2bqYBWUWMjtOWIxC +oGOK3J5lLDCU3e1g4zQKdTmHEjcYsEDteb8F79go5Ns0K72yZsFEj7SOW9oo +tIntyvD3Y8GrvTuES+XY8PKDuarUWxbkri9UTFRkw9Vpj9WOvmdB5jxFQ/lF +bMjYqLC78iMLEmqavUV02JCfauvq852+HkvP2hYrNjyJ7j0b2MYChxUB6XeD +2TBTeMT3uCgBPfzYTVJtbJCrbtrbY05AW8OwV2gPGyKzQP6aJQFNL7eHcobY +8Fum4622DQHVJxRedvLZIBYgNrzTgYCC9mQV5twxWLLwTYinKwGhVc/IYNsx +uDS+O2R3EAGKD77cHcgdg/nOuQfTMgkok91jblE4BiZeKxNOPSXA42pvz/03 +YyBy5OEH8+cE5JyWMLL+PAbb9IeH3xcQAC7mzSntY7D86ZVT4eUEHJ5bsMh5 +Hgfi+SvDW34QIH2N8SlHmQPzBHVaW+oJyBf77ie2hAN5u+syChsIGB8ZZL5Y +yQHdmcFLgv4QcKN2mddMWw44ro79+6yLgNfXH2TiGfp727s/SQ4BbpJaWxUu +cGA4v1F2giJA9HwRzyeSA7s6WqaLCQiw96nbpHyHA20n3i0aFxLwb/PsocBn +HFBcZpCbKklCxPvEuK8FHBDm50aelSJB22SFmXoJBxjFS2Y6zSDhlLZt7PdK +DlTNDJvZKU2C1PSLBiv+cYBdZl/+di4Jz8Jkmi50c2BsRnrJofkkbKOSL/4e +5IBChPr2aYokJPaU/ozgcSCuafXWNcok6FeOBf6T40LGZP2WjWok7Ao/UhJn +xYV5zcXZOjokhLeK/gy050LMvRkukbok5JokDuzczoXvn7L2Nq0kQYL9beF8 +dy4U6nh4HTEgIc9rdejds1zoOPHIYMVaEv5g9b3/wrmQZG2/z3YdCdNUvF84 +R3FBqdHju9t6EvbVx7fNv8+FA7XuIf7GJMy0nrS8V8CF4fCYbBMzEtam3ncN +KuFC/pOzqGROgrvQINCFyQW9KrbUCO2iQq8nCjVccC2cvfwqg4R2OWE5t54L +Ud+5PFsLEqR97zU0/OGC/3WKPUXbS7NK6n4/Fw7dr3HdvZGE2HBPtdPDXBhZ +M1TBo13aOm60i+LCGqU8+1tWJHSb3N22fpILfUPlw0usSZC9r3dMUZKCH7tL +8p7S3sD+FE7NouC5pE2Ujg0J3k4eib/lKdiQJBX8mHaZVFz1fTUKvLWLY0Nt +Sej1Wtl9ejkFEQFE/j/a8syPwl16FDjY9LUb2ZFgruKuYLSWgstbN6lE0z4a +zNdbYEpBn1Hh/jracfW3bXmWFBhlfc+Yt4kEpoGue+MmCgxsTUcdaA/GVAYX +b6Xg9tuH5mG0Ffr334rfRYHK64SoLNoW1rzs4P0UxDbV1VbR9km99X73IQoy +a1hynbTvC1f8MfKhQANiNo/Rfr/nA3vBKQo+1W0PFtJmFe6T5p+hwH5td/wk +7QXylEbTBQoCpXuzKdpWvjfNSq5QICI2kdVH2++LtsuDWAqevf105wftBM0K +3zN36esfZB0uoP0x3O3KniQKPA3kl16jPdLKSTFOp2BwXeN7V9oqG24UKz2l +7yez00qDtu19rR/8PArm6TRmdNH1OMl+19/0mgLDY3t6kmgnO7mKlb6lIGf2 +LFEH2p9zxpQTKikwe3tzbIyuN1sqdnVINQVZGrFv42gvOrh8y946CrL7M9x0 +aW9mMg+aNFMgURRa/Ybev/9U9p5XbqcgwLBk1kbaj4LZdwW9FLyWEii+p/e/ +uj4mt5mg69naRRjRVr+O/xImKBhbbcueTedn1oF7dyXFeeAb+kfrNJ2vMYMT +9v4zeMA2HdNvsiThU73ya2sFHkQ3SuZcofOZlzHik6fCg28KWgvr6TwnBH9W +X7iUBxeuLXFWou2jEhQ7rM+Dh81Di2Lp/DsTW6xc1/FgvULf03K6X8yZSwWV +pjx4snk2v9uUBLmDPw4lbuLBfneterUNdL/k6JrZePFAeKPLCej+Szkvzs47 +yoP+jpOv19D9edWpOWuhPw/8X9b+UKf715V9Zd7IOR7k3nBQ7DckQWRD52Di +PR4kXb7xQlWPhH7p0tRpyTyYqfD3dCM9H3623twVkM6DpqyUzmv0/HgSbl5h +k8cDwf2G5BYtur5fHiSMVPGAO+R4eNlSElYn+W91q+WBcvuV+U+W0Pvtazvt +UwMPPN3+7FKl5xEpxwlI6uTBh6catygVOv97tm6yFfLgLnXp0XYFElr7pvGS +DPjAabgRkUrPy0+lf59LreeDjKRGbDY9T/NiXnmdNONDc4Xq7KfiJFwy8Pxu +u5kP/YVxXnFTBGgFl2eMevEhqazOdA49r09KBTrb3efDnOa80Th6vneUO581 +fciHBWbvy4l2ArYFrk81eMKHD9eORsE/AgzaBUMLXvIhZvLVgo9NBBClFyP6 +a/jw9k3LT+8aAo763ngZPU0A69Jdb48VEtCoEdAUOlsAX4deW5TT55Pdn+1T +J+cJwMDn3pdzLwjQtFOwd1UXgMTi+QfasgjoWpLcoWMugKiGIkfjRALcfz2V ++/afAN4lnl5mEEpA7bWY9e/OCaDXt9P2UAh93ln67iu8JAC59+Uqt+jzc9GL +VdnJtwTAE/Dqqn0JaLlazPB9LgDCaPma+v0E7DL96CfTLQC1Mcd4NTMCHNPb +v23bOQ7lLTq/H46y4OgYeXGZ6zic8Oc0lLFYEGE9uZbvMQ68+f13fvSxoLRX ++eEjv3GIYMmY/mtlwTLdnb5k9DhI6z+RuPaFfh559XHO9XfjIJgyClB/xIKn +H3OcPutNgOT4vmiGFQsqFUvFk9ZOwIlumcJV5ixoO/L5tZ/pBCx5wN2uZMQC +hVndixU3T4D7y6X/vuqw4KLTouFDhybg21wbXrk8C3Y33rwpnjQB0Ve5y+tb +h0Bq4L8f5jOEYOi136nYbwja8t6pJ8sIoXLh2YLhI0NQfHp24Ph8IbyT5V5W +8xyCY5JPFIrVhcC+dznIe+cQ1KjVu64yFYLfoUubrhkNwb1dhj1L/YRwLK5M +fv3UIGhWEoLpv4TQFmksOzNyEKaumWw5/EcIr1/ebdENpZ8nt0cmV7YLwcDZ +9q9N0CBEt6kywgkhTPurHejuPQjE+JbL41KTcHrbwQptm0EoMsyRIUwmYfqu +gI1zJQbB+tFhjbpHk+C2RCRrzZkBeGz/trs0cxJm6WutDvYbAAlqXmZa7iQI +o8zU8g8NwHuH99onyybh1YIUBfHtA2A+rqIv1zgJqwxsVi1fMQBGLj+NnWSm +IHTyyDTfxn5YIW3m9PX8FOyv1TzZrdsPUqYzyj1WijDsZ+S7c171wr0tO4YS +DEQYITf3VW/P7gWNfckL61eLMHQW5gVkJPeCZeiqEBsTEYb7gVAPg8heOMfc +s17HVoRBplqk1Lj0wrDV0/wxdxGGm+Spf4bcHmh2sM+4EifCmGSL1MWs7IHc +A9dvPB8XYch1f4xWCu2C2+Wsyw2TIozS7zkOZv5dcHqh47kpUVHGnmPU6l2e +XcD4PefotumijBrZE14nbLrgh+NNS848UUbElxDlpXO6YMzsDsdUT5QRZHjI +sSCxE4xVHrhWu4syfremUNtfdMCHxsfLBytFGdkTE4/WFbdBSseCdy6pYgyZ +k/a367/8BrPHG8QUfMUZZXvUL04WfQEFzybzrABxRgXLXMN5xxcgFp8+a/Kf +OGMdcWbpSbIKHiYWjO0/J86Yf3p01pRmFUze1u7NjBZnbA+94OZ15xPgRcVq +40xxhopsZvEWjw9gcYB9d1+bOGPSJfNSXtobUFa99ZPsFGfMvRXx9Wt1KYw2 +68mE94ozTv2S1wzglkCay7GrGYQ4I0vs1ts9dsUg5tgeQk6IM9wTjHUf9byC +CtPvBy4qSTCUV/3saVV6BkkCn6S5qhKM9a7z2RsPPIXA4plNT9QkGD1f9cJK +07NAY43N9i/LJRhy0RdP/NF+AhE65VZz10kwzmd0itY6J4Fb/96LT4wlGELx +Q/VZP+JhTSavfL2ZBKNrkZRomv1d6FJfs97NirbNd52+UzFQ1vbjFGErwbi3 +OjI73u0yxD30y7tgL8EYut99fM6lc+DjNpsl7yTBuOTz+WF1tA/8730k43/v +I83/D7Y7b/0= + "]]}, + Annotation[#, "Charting`Private`Tag$150135#1"]& ]}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{0.375, 0.375}, {0.375, 0.3750000000000284}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{-2.5403541891658863`, + 2.5403541891658863`}, {-0.9777827344487778, 0.9777825342404552}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {143.86568033582398, -87.675}, + ImageScaled[{0.5, 0.5}], {269.74815062966996, 167}], InsetBox[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJw12nk4VG8bB/CpZCuksoRKKkUlqSRLZ5SiiBZrlkihEhElWSZUKkSUEjVR +hOy76B4UIkV2SSPZlywzZ+ze+/fH+4+5Ptf3ue9zPOc5c87jsuGc86kLiykU +ynH88d/ngsTSSfqKJQzB6bNKbR8XUQdDdexm3i1mUDSvXzGumSFaTKQdGG/R +eTflZMJniE/rJi/eiUXH1z+SMJshXr5PuCIUjXaz5g3rniZOVHK7b3yEvqB/ +/jFlmshd+OSv646uZxY2HJgk/Jw0X7/QROv85lT+ZBFr9FTb1doWMSi5Tb3r +ZIeJ9M8zosLN6Db6WFLlEKFNFJ/sqUf3JWj5Xx4i3JWoFaE16FqGsnjmIFEn +fiSzm4G2ELX+fnCAuN99MvBRAtrz7tPTrr3ElM/FPV1uaNE07yLeP0TopLxz +vst/PjEdlN1JbHEdSgx2QssHm7217iSMLjivV3FAK4krpxQwiQxdd/5gc/Rq +qu62jg7iovhtpvJBNL1iwPhbK9Ga8SzogRBakVU6I1pLbC8wFJJc/l/uFxXV +842gMVY8TuZF03zWetFriK3fAyO/LkK/4/nKEasmPIY8YgVZFAYl0M8ORMoJ +8S1m+Y9b0MyLZ6cj8wnj6DV/o16jrYFicCcRkuIa7ba9RNMt6iN4U2E+Kaz/ +QxRa2rjo+aEMiC/g+9cejh6tTDj4IQfYTVNT6+7+N77uEzPkI0QItwnFXUKr +RHHv/lsB9Xej1JJ3o8+tNTTY2AA69XnO1xXRUdo2x543QNH6xjjNHWj+q6e+ +CjZCfL7Q8hZZ9I/7Py9MNoLnQEA7lwRaZvYs+bkZNug7e1tR0Fz8CWXHfkKH +fKDPxqgFoLgvnDo7z4TKstKegnD0d5oIj1InZFrM6Z8IRu8p2nD9QifcCXFd +701D9+c8SqruhO3jFowmO7RLG9/VJ3/As2DX4ge70XkQeW/dXxDR+Xln9Os8 +UJJhfT5PL3jM8vvMfUZvydKkqvRCe7rqdX5Ar5GVfuDQC2/WRNltykBH+ry1 +rewFpUFTbdMnaKXq+l13+kA/pImXYYkWy4s9M9EPdxvqHj4amQOKVWhAW+wQ +DAQuCojuRbsdvMqsHoLjGru8EploS//I96whWB0f6lj2A/2OuvnZ4WGIvWFw +nJOLDmhfyfg7DCBRI3jWF735ap6L+D+YtK4MU1iB/qxfL5s8Cume1TPmfHNA +67hZ+/vDKDhEfLtwfzF6YZrX9+sotFQ07P/LmgWKY8zlq8OjUKDQ2fm8dRZo +ab5Z0gpj4Dk7tWtpHFr8jtTnpDGYidz24+deHC9ekPQgbByyMxTU+XairT1v +yb0aB8fqXfHKW3E8z2rP9Pfj0D6/zzNMAq2Xp3GjYhyKLmjJaC/MAOVv173+ +mXHw2m3pmlmJ3pN21sl6Aua/hay8b46uvFdpI86CSVfD39uM0PUKQpdlWDAu +KvH+mz76025Vm+0s6LF6e3j1QfSuJMfVVBZ8G/ng8WrrDNCKsoIj7VjwUrC/ +I4c9DRTlCW7JdBY8y0xNNv2HHlUSm8xnwWNjN4+ZvmmgNVhWlJaw4O7LBWHN +dszHfuzdUM8CJwXRw19L0elkyBI2Cw7oH0r+8witl3DIYS8bVMZ5Pe7cx/ot +5QWbNNig9PSb1lZ/zCUf3/uuxQbZDrOOK9cxf/XSZPQ0GwSdrgpPWWDem8dt +7cKGjuCYG0LymGvt8VmUyIaWXbZamRsxbz5W+C6NDT8atwobrcV8sdhiIpcN +5Wuzk6JWYB5yslOljA2pKVW/NnOmcLyAiG07G3xrOIfUP01hv/iZqGUkjAdl +0o2K0f0f6OnCJNjpXZlzykWz6mWzxEjQr/6T+/od1hN0Ad+NJKz7UiPHE4wu +iP+yW5WEx4GBd6XvojP+TWcQJHDrHOra74v15/7eWnuYhOHy/GhHF3RfRVyR +AQlFn+KEfhjheGvZZWvPk6AYYOU4qI9WeLmf5yIJbw6t+cKlg/ZQ3Pz7CglB +pSF++1TRexYumt4gwZxxkx29DvttTt/sep+E6Q8GP+17J4G2o0VRP4kEp1v8 +KreZ6NuP70ikkvBH9XNEVOskULxfOzVmkPClQFW/phrzsi4lsQISnuVtLlFK +x5yYJavLSVh+g7lWLxEd52sjWEUCTfmF54VYHD+wtYqoIcEhZ8WeZxGYd9yq +cq4nYV/WTPycB3rdInLpbxKSXHOXiLni+JlMRkknzpeSi7XiZcxtdow7/sX5 +yehZY2uJVnErDusnoSm1LqhSEy0kYC06QcIxp6D+TlV0e2+1PpuEjzu0j8zs +xn6qi7lvcEh4+75oYYcsusRUPHKGBLekBNdwfrQdISW2hAPyrE1KMlxY3+Mc +k8nFAaZG7Fj6HAdo4SNmVG4O6NZFX/02ygHKmZ2pSnz4KSmhaDmAn2JPzkTy +cyD3fOS/wS60fejlkWUckJkMc+JrRnc4/L0myIEWTSGFZ7XYr7HGOlaIAyEP +g4Zlqzj/zf+lshUcmFp3z1GrGH2j/MSvlRxIdeDaXp+LzhDVbFrFgfOZtwdt +0tGP/vaWrOZA7WGvS75x6IHk2y6iHLj7aEpOMAbNQwbuFeOAeuv1/uinaNGz +zkPocRnWu22h6GZu4qk4BxIcXRwK76Pj+RbvXsMBi9yRLUf98XwP0kpL0Ssp +jr3NXpgfoj04LMGByqP98XbXMY+VPP8B7RNuZ8d2RpPWZpskObDnV9fmgIs4 +PsLcjYYekLXpXmnLAYbaKviOpl/tePPaAvOjQYdWSnHAqND8vKIxB6hNFct0 +0PxcrRvBAPv5lW1wQTOOG3cdP4qf/jcfBaOvR9bHth9EJzOtYtDbO0+cu6yO +/R4MPaej/8h/2zC9F/NVwcci0c/cdDsDd2J/vjTP22j9j5V0MTnMW9X2nEUv +4T1iHS+DNl5zWxGdf7Js/V78pCnKX2bj+Tq9oP4uE8H8/fHZFPSm7uKXp/C6 +MSLPHjiDblNQs+rkxfMNVlGbxvkI9chfe3UxHi8zZTYYfaR07695XGeMztAg +EfTssqzoYFyXtNB0VijOb4aRooXUPxKofc0HKGi7VymSyX2YV39zs8XrI9Uv +/3P/H6yPNaMX4vUL9Np8xqSRBEro9gUtvN4HymPX9HxDk0OHPfA8WULSrW6V +2I9XKfEVro+zcRKmjz9g/SnRoSpcT6uHI8U25KAvr/r9TZgDVcoizWl4n1Ob +TohU4PpTrhIyrnmN/ZgbXSNwvQ6tChaxeIGemE2+KMCBWEv+xoEIrFeIMdi9 +nAOCY1yGvIFY3/pkOg7vh26x6ZOHnHB847nBGbyfRsuP+Y/bY17/+qg3zsu0 ++4vs1zZYf93n2wQF6xvUxShGmN9scWbMkaAS6ttepIb1PR38rSQJB4laAce9 +OB+b/kVy4bzpjUgTkjtx/K+Ox5vxfrfRK319UwbzyE9sbZzHB7xL7ZX50Bd/ +2gn1khCRZ/SsezGO/7LjTC9+f7y0i/8SMcsGhtWfRTk4r1mftLdP/GPj8+ZW +2K4OEtppD8bSmthA/bg0Pr2BhJ1TQl5ybzDfF0t8AxJU31mntMRgfkUgZGkx +CVomGR33IjHPSJTcXUiCac4pzZ4H6Jeloi7ZJPi5POGOw+cQzXD01s13JDT0 +S4RJEXh8WrBbWQgJN9s2xwu1sYAhpC9xw5CE+TeX7ffic5Fm1fxU8QTWO2ds +Nf+KuYp7429d/P24NJLjP7KA8qWvdP0hEqIUDNM14jC/mOovu4uED35+hZcd +WUBtHswzxefTnPzvbxXzE0BzjcTXUzb4sTeFDnMmgHp28PPaLDZwMy6dXDWG +uXnNi6gUfH4akfVWXRPACNV9dDOWDet8BVrZFRP4PK95X/OQDUS9WtfGMMyr +A12bLdhw+9Yzju9GzJWCBnImWaBTS5eUXIv9jqnJ0MdZILg5kcgVxeNFusT4 +D7Eg6lvBvSE+rA+neSszWZC54aeY2eg40Lx6i/QqWPCnYq2KUvE4MCSa2ZoR +LDi4Os7jrzHmYicSA+RYwJWSMqXzYAwYtzyFBA5NAOfmqvHLMf+AOv2CeL1i +DHZo+bT5KA8BTc5bue7sMJzZqbDpEH8/0H6sjKAw+sC5+bKDwfNuoD19Naj6 +oQs86SMCArZ/gHKh8r2cUwe06c2bb679BfTl2VLnLRvBwk7vxPfsX0DjcGmV +qDVCh2+U1s3nv0BaPv3OTolG6MxU3lFzDu0VnUo0N0CfuPO8G7sdaOsSWIqn +GoDz9zf9k0Q7UAN2al3SrYfV3iXdthfawHqd2vB33TrQTwlwjp1uAuu5cG77 +ldXQ8q99ZENnE9DnVpR0tFeBjdJep9cVTcBQH2r2TqgCt7xuR3oEjpf5naak +UQVRJUcuvVRowufRJelbl75ATyPvhahzjWAtUDiX8LUCfOaDzjyuqgd65804 +7/RPwKvZ3SqcUQ/Wglcj5GmfIMxfwywssh6k28Mzlpz4BG94R0xCz2PemrxC +bbQMqlYaGIXM/wDGkFFVqVIZiG4RPvFA6Qd+/xh9N2OUQKrBk8N+UbVAOWBe +HD5XDOsppVztPrXAsCsRcX9dDKHpI2V7bWuB6h+ZUHW4GFyEdQ72b6sF6ftU +9YZHReAQz/ame34H6rxU3BW5D+CWwriqzqgBmvrO7HXX8iHog7Gxm24Vzt9W +72LbLHCSSm/YsroKaMm7pPnFssDAm+/0z/YvQF+Zw99WlQkriSKDg05fgFn+ +pmDpnkx4Vrrh6IqwSlzfltlRyzPgzZchtfdN5cDsk2FapKZAUbPfhr82ZcBs +Wuplk/wWUh6M5hxUKANrHZWUePW38FLD6tjr6VKQpuwyHvn2Bmhx+69ZhZfi ++2JjaiAZB4ecRz+1fCoBSnh53+JTsVDFbeVQs4UBlMutRlnuL+H6tcgpkz4A +pm2ssH1BDJi2usqI3Aa8nrw96gvRIPlWzu1R5keg2tfIGIe9gFj1SLEAkWKg +ut6rc/n+DDIuu1pd+VkA9Apx0T/Z4fC47vg9ebcCYMrGaoZKhoPbPrn03uUF +wIh+vs874DGoLGEuOncgH6TXyLhLWIYBI+r4W+PXuSCt+zt40+kQiKXIfVul +mgvWdSeqarSCIcCOi1P7IwcodreahNSCQFvpg44uVw7QPUf9L+99AN++bB0i +7LNA2v9IxE+bu5C+k0tkbiETqH70X2897sDjJ781Cp+hp/yvyUQEgJHN00d7 +qjKAOjIVdaDVD9onl+yW25EOtJ4+hyQVX/Aq/pj39WEa0E9Q5ngzvYG4786n +XZwKlKfiptN7vKBcuuu9mnQKMMOnSpJMbkKjwceJTT2JwPgRfvTHCjeQL+/0 +TZFMBGn7omf2v1xxnSxdrnzyHVjLMcA4ywXk5fQ2aRfFA+OlUW886YT7Auf0 +72NvQfoP48SPNkdoFAlXN93yFqivZrh/1F3C69hmePFxHFjLKl9xnLSDRo85 +5lhFLNBclINFtl4A+X/SVzznXuP+cU1L2iVbaPxpf+ehAx1GpYdW/dhqDYZv +RDduVX8F0p1b+r7qWMJCqKXa/oQYoDT05/LZnQHDS4OXzb2jgLn9tNvgSiOY +N1YKcOx7BtZfBpa8jT0FiYduRnufjoRQ1ybmC9MTYKjIyA75+ATfH7dxMi7q +wbwUT80ruQig8P+6+MVJB97x6XenRzwG5tXGgmCGFpwmI+ZKFkKBwgq2FTir +CbOf87bFN4YAo9boZnKEOpx8ddiiMvkh0B8rdndz7YN4j/qggduBwLyvv4Ip +qAQzJ22Kl5veAekGqxPmF7bBiW3/hhUU/IDRt3kemBtBl29aPZbXB5hM5Q3i +0pJAfhB52ZN9AxiBdmcyelYA3WnXgryNC9B+H6vvk18MEQejGB0SdsDo9WxZ +cn74Y61B3NLvPaeAYrHF7rz3549ST/Oaven7CdqhzjFrRvjHDgnfMYG8swRT +02mnHLXjo8TWQOV5P0eCoftlNNF18qOtzdZC1SduhHRy0j39W3yQn7rcjOzz +JBhU4+sd5SLA4zM5Y/qSRlDvT3OLRktD5ptL1cqV/gTlwPX9GYFbwLK6PWr1 ++F2Crk49sjlxJ/CO618al3xAMEqaR9757IFM8ZL9tYeDCeq14ZnA0v2Q+uo5 +V/O+UIJx7dLwWjoBXFmnhj5/DSMYJwW03y07BGfKlzVk24QT9M7RpCURRyCt +9dOHODKCkL6ipbLq4jE4Q9n38Lb0M4J+ZEt2oNdJSFs16no15zkhLRR18F/r +aeDaknjm7LEXBO2un02IpTGkHZeU13B7SVBXbUrVbzYHP8UB3qdcdILCY5p6 +psYKdhSWewl8pxPMmg/XClnW4Ffje37WNpagOgb31x09DztMLFquKcQR1PGx +0O8r7KCFqaI3OBlHSJeunSgcsIcdrLHdbcFvCaaBe8mB5svQInF+SX7eO0Ja +d/+i1Udd4ejeGA/L8ESCuus796LH16DQoGl4sXMSwYy1Mx/qdoMXATotx2Xf +E7RVx/cnpN4Aq5HtKV0RaYT0owvN3GXe4MC1O0xLJZ2QjjBzo9r6Aj3su65Y +fDpBX8+TvvEeDVa85y0pup1BWJ/Wlzp50A/GmZ7JPPuzCGsbhei/k3dA3knM +ri0+i2AekytonLgL52aypFNWZxPS69W2CbPuQb3I8JNTo9kEM6yDNOF6ANnH +ztJiEnIJ6719igW2IXAj+5DRbtFCwtqQOr9ZIALSNZlC3AGFBIW4/IcrOwL6 +vnlVtYxhbmKZ52D5BEz7cwifmg+E9ROx1Ny8p6C6bqv8l4BigrGuOWPng+cw +f+iub9pNBkHt/jOR9uYVRD1oaH+WziCsb6SaXNlPB+U6GVW/XsyzDauzXtPB +2QpYhkYlhHV4W8h399fA9Ji8OK1YSlCVY8o2bo+DkpRLhof7ygiGzSPa0dp4 +0I9988Jf8hNhXXvav0wzAdqedvwp0f9E0NkyAirZCcDyPeVyIOcTQeVJ3CsQ +/Q62nlIN2ef3maAs++hucCMJQki+SjmpCoKZJeDkap4KZ4hENcETVYT18LMt +my9lQe/uLj89/yqC2fv1WF5GFrhtXVv1IBdzuz+6BVNZECwcZsqztpqgd+84 +vexhNjC6PNwpA9WEdNdir/bMHJAN1Ekb968h6BkPY9tF8+Fm37WwQfNagr5G +WTxrRzG0uKm7p9+oJagBjr5v7heDyqKlZu7haI8CYllPMZBrnkovVNUStHbl +JfvoH8FVNz9tpWodQTeufD63nAGOqbM1+8V/EDQO/+FLYSVg5XaHP7ChnqDn +XFx9sewTHKRE+m863kxQKW+03jKqcSsoTLd3aCaYX03PhE1Xg8VIUFGSfzNB +j81+kLjnK1xv92MrFuL4fs17lolfITHfyV5jSwtBLR/j/h5RAytcjugaL2ol +qBqyqzOufYffneyVgTltBO2DjtC6d3XgVWYYO7i2g6BtuFFzrbgRLshoLSSo +/yEoOSaDoUs7YJNsrdLKtG6Ctl7SMqKtC4Z5xZZW9/QRlL9z4+yH+D6pmTx8 +THCIoMy+0x/cPAx8xRk//Tz/EVQXo0HxqVFoerg/m8t4jKDe9Azo4pqAlROW +u8YsxgjGTrU/uwQm4PgZv9Rftpg7GhR6ikzAp63V73Jd0Cx6zszmCcj8bBHj +EIyWv/ir4MgEhCz43v36Cb1hnm/9vQk4fK3cNGL3OEFdyvqttwT3DW0DjTTV +cYKinj/Yws+CIk2h01c0xwlGtJee1UoWKK0wPX7EAE251Gu4gQXSKf2ak5fQ +6pWeowdYMNuzfJtFLNa3ClW3eLAg+8zpuY3CEwTlWe6gfC8LUvfliL0QQ//+ +AlbDLEhYLaa0ct0EQd0Rlvdw4r/3+zY7yrYJgjEmMV67gOdz8FxtuxbmvuEZ +POJsOC7vEvfEY4KgLVhorddmQ89UyFEeJlojwrX4FRvfw0ZtfXpw/Blbculb +NrRmnfJhD2G/N6cijySx4esV0ayuKcx7pwTTs9mQ2RkjxVjFIhizMf0yX9jg +8+X9Pw9t9IOFLtooG8SeVz0ZSEU3Swr8USGhaIXZAc0ctEhwCK8G7h8De3si +P7BwvhuuyWqSkHyDS+VwJbqkXkfnKAmE8YG2V50sglJjvmejGQn2qzLXGa1m +E4zTb8sVbpCw/CG1IlmCTdCWb3pV4UlCxuLvzos3sAnq4jYjEx8SZsYGGWk7 +MB9ap25+h4RHtZtt+bXRvT/mJx6TkBf8PAFuYj+jwH6b9yRYLN16QpTGJig6 +Ponn00hY5J076XgX+zHwWZZJgq5j/VGJcKyXEvyilE/C72MCQ27vsf5J7Xn7 +MhICSl9EVGdiffR6pmQ5CXKq8hoyBVi/pOJyeSUJ1+S0Q75/xvH/VMLmakjg +4b2tKP8b8xuF6yeaSXjvK9RK68a8ZWyrSRsJJzkxt5sHsd9rh9n0dhJe9BT+ +CJjE4+/73nG4E/fHn1luv4VJgspmPZ/ox/2tuv9aZXGSoHxMn+Mawv1ttnB5 +0DqSYOTW/102QkJZnIKY6jbMxxPXTI+RYOLnUBChha65uNFkCve7HYt+uOli +v0fatSozJKSqvhgwPIX1QrZ1AnMkcE3USIpY4/hTJrFhFA7sNLDfw7ZDv9ti +Tl3MgTPJlOONV9Blm1T/LOFAuu1unye3/jveBfUFbg78hK9P3f2wf4mvjicv +B7il7NKM7mP/She9Pj4OWDY8Y4pEkgTtqLlAzHIOBCoqTbFj0CHcWV0CHMgO +qhZueoPjg8Y2rBXiAP/h+YNPMzF3gO0OwhzY+zrS/HoB9h/YnXFzJQf3dYpu +xgw8/qVltd6rOPDQrCpIuQLrRQK83VZzIDfH9q3oN6wvaE6xFOFAp/BcMdmA +blcz2i/KgeVOT5uafmI9o9OeR4wDtrJfeCL7MVeKfeUpzoEQv3PSN0bRH/hS +1q/hQGHHjIoJB12nR+aiu1WfnNw3j9a450yV4MCKSIVLYks5BEOzdnkRWm2i +wo+zjIPrU7VUTpIDdgY2L5pXcghKf6P/fXRY8nRW3hq0b/Lhn+ginoivkdIc +gppfMrNOigO9tju6b2zB+h0SUYbolYzyORMF7L8uc7UX+oCUtajKXqy/5Xf2 +Cfqix5SCuDrmlb5O//29LqLhsfbkQbRs1N7//p7HUNxu3XIU+zkVv3uIHgz6 +7JF/AnN27YfLaNF+q7BnJtivOe+cBlrz8GSihxWODzsRRkE7vg4rNb2A5+fm +rpaD5xs5J/9TxRHzw7OG5uhSs08T4tfQV3PrxvH3H86xXD51E826+vYWWnwl +Z1MrDW3FKmPj/Gk5hWoU3MPjtXFtsEE7V8kZPw/BXOpcejHOf5RsmdPNJ//1 +q7iwDF3uZ3HPLBr9fnDPMbxeYx3sV/vjsP7AbWFPvJ5Sao/y1yShVyn/i8Lr +rR25tW4qHf0mq+Q9rgfXiZL+1jys533llYbrpTKZJRH1GXMuDc97uL4meEJ2 +e37F3HDjG4sVHFh3fovemXr0n44AGVyP7lJnvCU60cxl+2m4fukeE0+me7Fe +NnhCbBkHvjYEpbaNoE8v2U3H9S4TDL+jZnG8f5GgH94fy84+fbJ0ySRB6SDV +Jrk4wFK8onuVD523vdQa76eKBom8w6JotZh0Xrz/HKWuh4zuRFufJDMnSTAa +0dMyV57E+SC+FpIkHGBsnP6sjvlW1rtsFgnC5+suvDiK1jY67jNKQm7ydo0j +tmjBtPUOvSS88l4ykX4RPRLLt/CXhECDtneSV7FfybGEe39IMJ+4t3rMCx09 +UH/lFwkUta7BF0/RsyI1QT9IOFb1PGrsC9and/MuLyRhd/TVExa1mMeS1IJc +EqSctLkrmjAfYPmbZJHwT5jtEt2F+fQyij1+/0aYnTiqPYd5/tq3tTEkdPRx +T0YrThGU5b9UP3uTUFH4K4VnH5qfW8LnJgnpQdm2rhpTBK2o3GSLOwn+iue+ +ax/D/P2tsmOOJGz1KI4ft8U88bdcAz4/XHncjHQi0WumI3t3kfCn2OiW+kt0 +p/Hdndvx+9Zt32vFt1jfTTl2XpYExc7pIfEs9P0X4hESJIwU3g7o/4bjF9kd +XraYhItOj7IecE8TNB1Ta90aNrRscmn1EZgmKEkrSLNyNuj8PLXguhpNI7wM +gQ2yOqK65jI4fqWotEAGG/5uiPmz7QDmLyV3Pgxng3VjknCNO+bL+d+mGLKh +9mHQvhIvzKN6rrjpsYE46GSZ44+e26Uhq8WGdWm7EmPCcLzCz6xju9nQHphP +dUrBXDDP5skKNpiolzsLdaOVRdM3VbBAP66z5qThDEHzsL9dspEFF1n/bm82 +R9cKmy2IsyDg8PzeKZsZgrKvVnaLIAsKeyVe0p3RF0Yu7pmcgM3bDZ3+PUD/ +NZw4VD0Bs9nlgsElaN8FWfkrE5BUnmxQqTBLULosY5NejcNnscIl0Xtn8fvw +3Q3+x+PAdKjMc1ZHO2ufPxUwDqLLuteLHUN7HDkS5TAOtw3WjV64gBYN8eVV +HAfTltDQJdHovHTtk4VjwDPgXneAb46g3GWu3lI0Csz0EpkYIXTm/JGg96OQ +f0PAbUZkjqANlky2RY/CpaVvRfNlMD9gkLDHexS+STeY71LH3Iz41Kw+Ck9N +lHo2OmMu9loizvkfyH4emeZtRK/SY11RGYaFh6p69j/Rb2NMLqwahpZTd2M+ +d6L3nLu8fWQIHjDXUv1G0Kc3qsjFDcHIjN6dGZ55vJ6Zzm38Q5CrlCw0ooq2 +NPNfUjcAh+n2m+rpaKuAqrR9ffBG92N3YQKa6l4HvH3AxVmdEJuKHh+dedza +C6XHS+Vci9Bdw9v8PHvhwIzUTuGW//pN8dAKekDF+Md+A6EFgpKgzt22rRvk +l2sYVHuj/XZt5unshPt54SuyAtCqnyX3JnVC37mBuqiH6A/u9A3XOiG+INLw +0nM0c8XHvVydsNF+3IwvB918e/uRjUyQKk04rz2Ejs+5WZPYDjzqfMU2OyhU +ykdZJWX+Rniqd3ooShFtEWIiGNEAmyxjJBt2o50KhR3XNsBBn12eR1TRi7kO +5ynUgxfDbN82bfSPHQl3dOtgVCspg2WNpl7aFPGzCtqO68bfi0CnrzqXrJcD +qWeDH6XM/Je/Tz7XVkk8Lh6+0zSPzt/nRVlcRdyQ1PdaWLSISglVfJQoX01Q +mwUvnuRFM57fW+9bQ9Tphx5kr0b/5Qo2lKgjWBrhbHUF9KgU3+n+RmK/1HPz +r9bo/HoL9shv4lPLmy2Dn9FVWcfr6weIoXf8TaZf0A+8Mg/tGyRW3bwaUP4V +/W6gfPmLQeLcGvXO1/Xoc/rZiba4DzlTH2XaiW7ivFg1NUyo/VwkWD6Lbuxq +tI8aJTJ/WbHouxdTKTcGjZ5OThCv/oiXGL9Gq24a6Ds0Q8RfWfvx/hu0vb/p +Ce8Z4v3khg9FCWhrneCu3BkiX3BbjkwqOqE/Klh+lvihqpE4Uoim2viMr5oj +uMNtwu42oD0OqQv/myecDiXZ5PIsodIWos8+t11EbdnzYfjxiiXU////0v8A +SsW9Sw== + "]]}, + Annotation[#, "Charting`Private`Tag$150181#1"]& ]}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{0.375, 0.375}, {0.375, 0.3750000000000284}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{-2.5403541891658863`, + 2.5403541891658863`}, {-1.4444890988021655`, 2.218189614824275}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {431.59704100747194, -87.675}, + ImageScaled[{0.5, 0.5}], {269.74815062966996, 167}]}, {}}, + ImageSize->{ + UpTo[540], + UpTo[167]}, + PlotRange->{{0, 575.4627213432959}, {-175.35, 0}}, + PlotRangePadding->{6, 5}]], "Output", + CellChangeTimes->{ + 3.826008397009801*^9, 3.826008507422884*^9, 3.826008595888225*^9, + 3.826009193863812*^9, 3.826012726730015*^9, 3.826013341824439*^9, + 3.826014222164399*^9, 3.826103059013393*^9, 3.826188027132472*^9, { + 3.826190055412081*^9, 3.826190062500836*^9}, 3.826190093035994*^9, + 3.826192542973443*^9, {3.826257937772293*^9, 3.826257946061081*^9}, { + 3.82627227270383*^9, 3.826272320685111*^9}, 3.826272507689814*^9, { + 3.826273058936356*^9, 3.826273080865328*^9}, 3.826273585452537*^9, + 3.8266888118244*^9, 3.8266889563423033`*^9, {3.82668898785993*^9, + 3.826688991391358*^9}, 3.826689060228403*^9, {3.826689277892971*^9, + 3.826689303330661*^9}, {3.826689553892621*^9, 3.826689558120837*^9}, { + 3.8266896897621393`*^9, 3.826689700403508*^9}, 3.8266898190560913`*^9, + 3.826689877793241*^9, 3.826689976370064*^9, 3.826690126229707*^9, + 3.826690167235804*^9, {3.826690276005896*^9, 3.82669027994657*^9}, + 3.8266905216682167`*^9, 3.826690907596019*^9, 3.82669253477087*^9, + 3.826702165438219*^9, 3.826702242756707*^9, 3.8267024023641653`*^9, + 3.826702914352315*^9, 3.826704553694065*^9, {3.826704584764276*^9, + 3.8267045956189833`*^9}, 3.826704684034279*^9, 3.8273110065079193`*^9, { + 3.8273129232051353`*^9, 3.827312937901657*^9}, 3.82731327808216*^9, { + 3.82731389747288*^9, 3.827313909403831*^9}, 3.8273143515803747`*^9, + 3.827403332293*^9, {3.82740339142699*^9, 3.827403414950296*^9}, { + 3.8274034663487988`*^9, 3.827403480258274*^9}, {3.8274036905661*^9, + 3.827403697299396*^9}, {3.827404327345953*^9, 3.82740436708534*^9}, + 3.827404506598597*^9, {3.8274046942522287`*^9, 3.82740470621719*^9}, { + 3.827405097886524*^9, 3.8274051043033733`*^9}, 3.827405405700671*^9, + 3.827405692550297*^9, 3.827405734644206*^9, 3.8274057812126303`*^9, + 3.8274062656095324`*^9, {3.827406308186413*^9, 3.827406311147161*^9}, + 3.8274063894409723`*^9, 3.827407336244371*^9}, + CellLabel-> + "Out[783]=",ExpressionUUID->"f1a29def-c507-49d5-a1eb-e27b3b7aa51f"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"GraphicsRow", "[", + RowBox[{"{", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"ListLogPlot", "[", + RowBox[{ + RowBox[{"Evaluate", "[", + RowBox[{ + RowBox[{ + RowBox[{"Abs", "@", + RowBox[{"Transpose", "[", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"eqLowRHS", "[", "F1", "]"}], "[", "#", "]"}], ",", + RowBox[{ + RowBox[{"eqLowLHS", "[", "h1", "]"}], "[", "#", "]"}]}], + "}"}], "&"}], "/@", + RowBox[{"Range", "[", "8", "]"}]}], "]"}]}], "/.", + RowBox[{"rules", "[", "h1", "]"}]}], "/.", "sol1"}], "]"}], ",", + RowBox[{"PlotRange", "\[Rule]", "All"}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"ListLogPlot", "[", + RowBox[{ + RowBox[{"Chop", "@", + RowBox[{"Evaluate", "[", + RowBox[{ + RowBox[{ + RowBox[{"Transpose", "[", + RowBox[{ + RowBox[{ + RowBox[{"Abs", "@", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"eqHighRHS", "[", "F1", "]"}], "[", "#", "]"}], ",", + + RowBox[{ + RowBox[{"eqHighLHS", "[", "h1", "]"}], "[", "#", "]"}]}], + "}"}]}], "&"}], "/@", + RowBox[{"Range", "[", "11", "]"}]}], "]"}], "/.", + RowBox[{"rules", "[", "h1", "]"}]}], "/.", "sol1"}], "]"}]}], ",", + RowBox[{"PlotRange", "\[Rule]", "All"}]}], "]"}]}], + "\[IndentingNewLine]", "}"}], "]"}]], "Input", + CellChangeTimes->{{3.82601388777162*^9, 3.8260140151252937`*^9}, { + 3.8261924018677597`*^9, 3.8261924217246113`*^9}, {3.826192496461348*^9, + 3.826192509781884*^9}, {3.826192556982724*^9, 3.8261925663826227`*^9}, { + 3.8261932845399723`*^9, 3.8261932866596107`*^9}, {3.826195093556902*^9, + 3.826195097380226*^9}, {3.8261955211238337`*^9, 3.8261955266599216`*^9}, { + 3.826195708079317*^9, 3.8261957083369913`*^9}, {3.826690596288333*^9, + 3.826690615248395*^9}, {3.826690747299868*^9, 3.826690747651079*^9}, { + 3.826691013344714*^9, 3.8266910224322*^9}, {3.826691299845516*^9, + 3.826691309501219*^9}, {3.826691409623765*^9, 3.826691410799272*^9}, { + 3.8266914693932333`*^9, 3.826691487864767*^9}, {3.8266931234542217`*^9, + 3.826693212327691*^9}, {3.826693245936953*^9, 3.826693246064405*^9}, { + 3.8267050447279997`*^9, 3.826705048935749*^9}, {3.827311119384053*^9, + 3.827311171480891*^9}, {3.8273126666997213`*^9, 3.827312668475532*^9}, { + 3.8273127804216433`*^9, 3.827312815485839*^9}, {3.827312978505485*^9, + 3.82731298252908*^9}, {3.827403486965724*^9, 3.827403500013921*^9}, { + 3.827404825327669*^9, 3.827404845878521*^9}, {3.827404940416987*^9, + 3.82740494304041*^9}, {3.8274051423647337`*^9, 3.8274051425959997`*^9}, + 3.827405301703141*^9, {3.827405444321988*^9, 3.8274054450814238`*^9}}, + CellLabel-> + "In[784]:=",ExpressionUUID->"6c557c5e-e6b4-4351-9c51-9653ebaa3755"], + +Cell[BoxData[ + GraphicsBox[{{}, {InsetBox[ + GraphicsBox[{{}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6], + PointBox[{{1., 2.5681667543952633`}, {2., 2.382780896441164}, {3., + 1.3811213236677444`}, {4., -0.06616652693563371}, { + 5., -1.3561077844188318`}, {6., -2.3027509947911393`}, { + 7., -3.035301732084035}, {8., -3.5857908717651927`}}]}, + {RGBColor[0.880722, 0.611041, 0.142051], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6], + PointBox[{{1., 2.5681667543952638`}, {2., 2.3827808964411643`}, {3., + 1.2905752673773987`}, {4., -0.7100357048335054}, { + 5., -4.431526570580832}, {6., -7.130674861358855}, { + 7., -9.151031152428711}, {8., -10.777531103155672`}}]}}, {{}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0.8541666666666669, -11.821907697742997`}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Identity, Identity}]}, { + Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{18.688297193877553`, 0.37500000000005684`}, { + 8.89825177281972, 0.37500000000004263`}}, + Method->{ + "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& )}}, + PlotRange->{{0.8541666666666669, 8.}, {-11.821907697742997`, + 2.5681667543952638`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{Automatic, + Charting`ScaledTicks[{Log, Exp}]}, { + Automatic, {{-11.512925464970229`, + FormBox[ + TemplateBox[{"10", + RowBox[{"-", "5"}]}, "Superscript", SyntaxForm -> + SuperscriptBox], TraditionalForm], {0.01, + 0.}}, {-9.210340371976182, + FormBox[ + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> + SuperscriptBox], TraditionalForm], {0.01, + 0.}}, {-6.907755278982137, + FormBox["0.001`", TraditionalForm], {0.01, + 0.}}, {-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox[ + StyleBox["\"0.010\"", ShowStringCharacters -> False], 0.01, + AutoDelete -> True], NumberForm[#, { + DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, + 0.}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox[ + StyleBox["\"0.100\"", ShowStringCharacters -> False], 0.1, + AutoDelete -> True], NumberForm[#, { + DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 0.}}, { + 0., + FormBox["1", TraditionalForm], {0.01, 0.}}, {2.302585092994046, + FormBox["10", TraditionalForm], {0.01, 0.}}, {-13.815510557964274`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-13.122363377404328`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-12.716898269296165`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-12.429216196844383`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-12.206072645530174`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-12.02375108873622, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-11.86960040890896, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-11.736069016284437`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-11.618285980628055`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-10.819778284410283`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-10.41431317630212, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-10.126631103850338`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-9.903487552536127, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-9.721165995742174, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-9.567015315914915, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-9.433483923290392, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-9.315700887634009, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-8.517193191416238, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-8.111728083308073, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.824046010856292, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.600902459542082, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.418580902748128, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.264430222920869, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.1308988302963465`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.013115794639964, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-6.214608098422191, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.809142990314028, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.521460917862246, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.298317366548036, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.115995809754082, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.961845129926823, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.8283137373023015`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.710530701645918, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.912023005428146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.506557897319982, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.2188758248682006`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.995732273553991, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.8134107167600364`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.659260036932778, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.5257286443082556`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.4079456086518722`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.6094379124341003`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.2039728043259361`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.916290731874155, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.6931471805599453, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.5108256237659907, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.35667494393873245`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.2231435513142097, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.10536051565782628`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {0.6931471805599453, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {1.0986122886681098`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {1.3862943611198906`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {1.6094379124341003`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {1.791759469228055, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {1.9459101490553132`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {2.0794415416798357`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {2.1972245773362196`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {2.995732273553991, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {3.4011973816621555`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {3.6888794541139363`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {3.912023005428146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {4.0943445622221, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {4.248495242049359, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {4.382026634673881, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {4.499809670330265, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {4.605170185988092, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {5.0106352940962555`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {5.298317366548036, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {5.521460917862246, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}}]], {144.7700681132607, -86.78851594019267}, + ImageScaled[{0.5, 0.5}], {271.5384199237796, 165.31145893370032}], + InsetBox[ + GraphicsBox[{{}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6], + PointBox[{{2., 1.3479721300952583`}, {4., 4.587954331309981}, {6., + 10.177796226000511`}, {7., -22.1925019970656}, {8., + 16.780429850359194`}, {9., -16.93500662503782}, {10., + 24.01378508115924}, {11., -13.874735830346257`}}]}, + {RGBColor[0.880722, 0.611041, 0.142051], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6], + PointBox[{{2., 1.3479721300955767`}, {4., 4.935185824379387}, {6., + 10.639852315850225`}, {8., 17.26810229153006}, {10., + 24.513171387303696`}}]}}, {{}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{1.8125000000000004`, -25.847485995483993`}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Identity, Identity}]}, { + Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{15.66294642857142, 0.37500000000005684`}, { + 8.89825177281972, 0.37500000000004263`}}, + Method->{ + "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& )}}, + PlotRange->{{1.8125000000000004`, 11.}, {-25.847485995483993`, + 24.513171387303696`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{Automatic, + Charting`ScaledTicks[{Log, Exp}]}, { + Automatic, {{-20.72326583694641, + FormBox[ + TemplateBox[{"10", + RowBox[{"-", "9"}]}, "Superscript", SyntaxForm -> + SuperscriptBox], TraditionalForm], {0.01, + 0.}}, {-9.210340371976182, + FormBox[ + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> + SuperscriptBox], TraditionalForm], {0.01, 0.}}, { + 2.302585092994046, + FormBox["10", TraditionalForm], {0.01, 0.}}, { + 13.815510557964274`, + FormBox[ + + TemplateBox[{"10", "6"}, "Superscript", SyntaxForm -> + SuperscriptBox], TraditionalForm], {0.01, 0.}}, { + 25.328436022934504`, + FormBox[ + + TemplateBox[{"10", "11"}, "Superscript", SyntaxForm -> + SuperscriptBox], TraditionalForm], {0.01, + 0.}}, {-25.328436022934504`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-23.025850929940457`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-18.420680743952367`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-16.11809565095832, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-13.815510557964274`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-11.512925464970229`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-6.907755278982137, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.605170185988091, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.3025850929940455`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {0., + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {4.605170185988092, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {6.907755278982137, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {9.210340371976184, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {11.512925464970229`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {16.11809565095832, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {18.420680743952367`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {20.72326583694641, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {23.025850929940457`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {27.631021115928547`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}}]], {432.79752895712903, -86.78851594019267}, + ImageScaled[{0.5, 0.5}], {268.5130691584735, 165.31145893370032}]}, {}}, + ImageSize->{ + UpTo[540], + UpTo[167]}, + PlotRange->{{0, 576.0549216877366}, {-173.57703188038533`, 0}}, + PlotRangePadding->{6, 5}]], "Output", + CellChangeTimes->{{3.8260139356528893`*^9, 3.826014016404052*^9}, + 3.826103482588256*^9, {3.8261924073516417`*^9, 3.826192422251688*^9}, { + 3.826192506334887*^9, 3.826192511165022*^9}, 3.826192569607964*^9, { + 3.826193281687119*^9, 3.8261932916788816`*^9}, {3.8261950884991207`*^9, + 3.826195099700686*^9}, 3.826195528686413*^9, 3.82619571261838*^9, + 3.8266906708191833`*^9, 3.826690796879517*^9, 3.826690968978136*^9, + 3.826691022983588*^9, 3.82669130986819*^9, 3.8266914113395023`*^9, { + 3.826691470441575*^9, 3.826691478676578*^9}, 3.826691547522326*^9, + 3.826692538976108*^9, {3.8266931326894836`*^9, 3.826693158588478*^9}, { + 3.826693189017332*^9, 3.826693195508483*^9}, 3.826693227271687*^9, + 3.8266932658138647`*^9, 3.8267029830556583`*^9, 3.8267050798781137`*^9, + 3.82731110851019*^9, 3.827311158810931*^9, 3.827311190613722*^9, + 3.827312689350894*^9, {3.8273128206517763`*^9, 3.8273128397380257`*^9}, + 3.827312962950502*^9, 3.827312999865768*^9, 3.8273133029687557`*^9, + 3.827313914760735*^9, 3.82731466342633*^9, 3.82740362326947*^9, + 3.8274037377468452`*^9, 3.8274042461734877`*^9, {3.827404829106723*^9, + 3.827404849750861*^9}, 3.827404952955348*^9, {3.8274053003547297`*^9, + 3.827405302722981*^9}, {3.827405424099656*^9, 3.827405445525691*^9}, + 3.8274057106595793`*^9, 3.827405755094181*^9, 3.82740580264576*^9, + 3.8274063360586443`*^9, 3.827406412668069*^9, 3.827407355279873*^9}, CellLabel-> - "Out[413]=",ExpressionUUID->"a26a160d-4d12-4697-bbb8-336fc2d122d6"] + "Out[784]=",ExpressionUUID->"550ffdb4-dbe3-4db6-a510-a3a6be0895b7"] }, Open ]], Cell[BoxData[{ + RowBox[{ + RowBox[{"F2", "=", "RF"}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"h2", "=", RowBox[{"h", "[", "3", "]"}]}], ";"}], "\[IndentingNewLine]", - RowBox[{ - RowBox[{"F2", "=", - RowBox[{"RF", "[", "2", "]"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"eq2", "=", RowBox[{ RowBox[{"eq", "[", - RowBox[{"2", ",", "h2"}], "]"}], "[", "2", "]"}]}], ";"}]}], "Input", + RowBox[{"F2", ",", "h2"}], "]"}], "[", "4", "]"}]}], ";"}]}], "Input", CellChangeTimes->{ 3.817563268660089*^9, {3.817563829122241*^9, 3.817563846550528*^9}, { 3.817563950998456*^9, 3.817563956525237*^9}, {3.8175645239988813`*^9, @@ -587,55 +1407,41 @@ Cell[BoxData[{ 3.8176636404765043`*^9, 3.817663648770928*^9}, {3.817666003825204*^9, 3.8176660163975077`*^9}, 3.825758657266858*^9, 3.8257634297123632`*^9, { 3.8257637382216587`*^9, 3.825763741294034*^9}, {3.825764046315646*^9, - 3.8257640768120003`*^9}}, + 3.8257640768120003`*^9}, {3.826007441657895*^9, 3.8260074468257313`*^9}, + 3.826007758136524*^9, {3.826013359537168*^9, 3.826013366921255*^9}, { + 3.826013463378932*^9, 3.826013482235341*^9}, {3.826014234648857*^9, + 3.8260142779855223`*^9}, {3.82610306735501*^9, 3.826103074379273*^9}, { + 3.826103107756144*^9, 3.826103107819812*^9}, {3.826272369240218*^9, + 3.826272391792493*^9}, {3.826272586652137*^9, 3.826272594732195*^9}, { + 3.826273088053089*^9, 3.826273089748893*^9}, {3.826273144677765*^9, + 3.826273146997635*^9}, {3.8262736335668373`*^9, 3.826273635734462*^9}, + 3.8266890691074533`*^9, {3.826689155061082*^9, 3.8266891551567373`*^9}, { + 3.8266893130797987`*^9, 3.826689323848358*^9}, {3.826689565988503*^9, + 3.826689581228674*^9}, {3.826689634565889*^9, 3.826689650102207*^9}, { + 3.826689983421033*^9, 3.826689988684514*^9}, {3.826690298234497*^9, + 3.826690304258379*^9}, {3.8266903448673897`*^9, 3.826690346835585*^9}, { + 3.826690541351234*^9, 3.826690548879322*^9}, 3.8266910071358747`*^9, { + 3.82669106486483*^9, 3.826691074849018*^9}, {3.826691445503744*^9, + 3.826691458440094*^9}, {3.82669167994809*^9, 3.826691683996052*^9}, { + 3.826704702577314*^9, 3.826704712105288*^9}, {3.82670492717354*^9, + 3.826704930421282*^9}, {3.827403765410832*^9, 3.827403784866971*^9}, { + 3.827404400190401*^9, 3.827404420238784*^9}, {3.8274045097126637`*^9, + 3.8274045126565638`*^9}, {3.8274047169724197`*^9, 3.827404723828395*^9}, { + 3.827404767149251*^9, 3.827404769613168*^9}, {3.827405559211132*^9, + 3.827405561458974*^9}, {3.827406421058803*^9, 3.827406425898838*^9}}, CellLabel-> - "In[464]:=",ExpressionUUID->"4dc1af41-4bef-447e-a233-c8c033887359"], + "In[535]:=",ExpressionUUID->"4dc1af41-4bef-447e-a233-c8c033887359"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"sol2", "=", - RowBox[{"FindRoot", "[", - RowBox[{ - RowBox[{"eq2", "/.", - RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], ",", + RowBox[{"newSol", "[", + RowBox[{"eq2", ",", "sol1", ",", RowBox[{"{", RowBox[{ - RowBox[{"{", - RowBox[{"A", ",", - RowBox[{"A", "/.", "sol1"}]}], "}"}], ",", - RowBox[{"{", - RowBox[{ - RowBox[{"gC", "[", "0", "]"}], ",", - RowBox[{ - RowBox[{"gC", "[", "0", "]"}], "/.", "sol1"}]}], "}"}], ",", - RowBox[{"{", - RowBox[{ - RowBox[{"FC", "[", "0", "]"}], ",", - RowBox[{ - RowBox[{"FC", "[", "0", "]"}], "/.", "sol1"}]}], "}"}], ",", - RowBox[{"{", - RowBox[{ - RowBox[{"FC", "[", "1", "]"}], ",", - RowBox[{ - RowBox[{"FC", "[", "1", "]"}], "/.", "sol1"}]}], "}"}], ",", - RowBox[{"{", - RowBox[{ - RowBox[{"gC", "[", "1", "]"}], ",", - RowBox[{ - RowBox[{"gC", "[", "1", "]"}], "/.", "sol1"}]}], "}"}], ",", - RowBox[{"{", - RowBox[{ - RowBox[{"gC", "[", "2", "]"}], ",", "0"}], "}"}], ",", - RowBox[{"{", - RowBox[{ - RowBox[{"gC", "[", "3", "]"}], ",", - RowBox[{"RandomReal", "[", "]"}]}], "}"}], ",", - RowBox[{"{", - RowBox[{ - RowBox[{"FC", "[", "2", "]"}], ",", - RowBox[{"RandomReal", "[", "]"}]}], "}"}]}], "}"}], ",", - RowBox[{"MaxIterations", "\[Rule]", "10000"}]}], "]"}]}]], "Input", + RowBox[{"gC", "[", "2", "]"}], ",", + RowBox[{"gC", "[", "3", "]"}]}], "}"}], ",", "1"}], "]"}]}]], "Input", CellChangeTimes->{{3.8175612726329412`*^9, 3.81756128486736*^9}, { 3.8175614038617268`*^9, 3.817561415404965*^9}, {3.817561511096093*^9, 3.817561563944231*^9}, {3.81756250196518*^9, 3.817562507914916*^9}, { @@ -688,38 +1494,89 @@ Cell[BoxData[ 3.8176653256436853`*^9}, {3.817665620012444*^9, 3.8176656289311333`*^9}, { 3.817666022150625*^9, 3.817666032733485*^9}, {3.817666540959165*^9, 3.817666542789474*^9}, {3.825763749599124*^9, 3.825763789470828*^9}, { - 3.82576405360496*^9, 3.825764054939633*^9}}, + 3.82576405360496*^9, 3.825764054939633*^9}, {3.826007455858286*^9, + 3.8260074763785057`*^9}, {3.8260077526573877`*^9, + 3.8260077642405243`*^9}, {3.826012574971777*^9, 3.826012607731414*^9}, { + 3.826012638420402*^9, 3.826012656916271*^9}, {3.826013377866149*^9, + 3.826013381529332*^9}, {3.8260134248909807`*^9, 3.8260134250580482`*^9}, { + 3.826013471603549*^9, 3.826013479731104*^9}, {3.8260142542578907`*^9, + 3.8260142815694523`*^9}, {3.826103080587652*^9, 3.826103110884009*^9}, { + 3.826272386944799*^9, 3.8262724058568172`*^9}, {3.826272577364773*^9, + 3.8262726301407547`*^9}, {3.8262730964295692`*^9, 3.826273105909152*^9}, { + 3.826273149742629*^9, 3.826273152269898*^9}, 3.826273264736801*^9, { + 3.8262734668440647`*^9, 3.826273466979476*^9}, {3.826273523852948*^9, + 3.8262735239166183`*^9}, {3.826273598326247*^9, 3.826273598414112*^9}, { + 3.8262736403749523`*^9, 3.826273646006681*^9}, {3.826689077467478*^9, + 3.826689117948354*^9}, {3.8266891488769283`*^9, 3.826689165069252*^9}, { + 3.826689316392604*^9, 3.826689327479848*^9}, {3.826689585957643*^9, + 3.8266895892288723`*^9}, {3.826689642374959*^9, 3.8266896530861063`*^9}, { + 3.826689991397007*^9, 3.826690014053174*^9}, {3.826690202392878*^9, + 3.826690203016962*^9}, {3.826690290674961*^9, 3.826690309938636*^9}, { + 3.826690353388789*^9, 3.8266903615409527`*^9}, {3.826690552655903*^9, + 3.826690573871529*^9}, {3.8266910770094233`*^9, 3.826691106753572*^9}, { + 3.826691453953046*^9, 3.826691456704123*^9}, {3.826691566042148*^9, + 3.826691580778328*^9}, 3.826691637140317*^9, {3.826691686196629*^9, + 3.8266916892040443`*^9}, 3.8267024091584463`*^9, {3.826704716161975*^9, + 3.826704719377363*^9}, 3.826704821811655*^9, {3.826704934254529*^9, + 3.82670493514916*^9}, 3.827313139667808*^9, 3.82731344328931*^9, { + 3.827313530930706*^9, 3.827313531074643*^9}, {3.827313648020673*^9, + 3.827313648404454*^9}, 3.827313930601613*^9, {3.827403795859744*^9, + 3.827403799331325*^9}, {3.827404407990917*^9, 3.8274044110385847`*^9}, { + 3.827404515849715*^9, 3.827404516008604*^9}, 3.8274045561855392`*^9, { + 3.827404728540772*^9, 3.827404795461753*^9}, {3.827405566388193*^9, + 3.82740557845172*^9}, 3.82740564622897*^9, {3.82740643693969*^9, + 3.827406439179371*^9}}, CellLabel-> - "In[467]:=",ExpressionUUID->"e74b775a-c745-4f15-9b63-7bb00af5a487"], + "In[538]:=",ExpressionUUID->"e74b775a-c745-4f15-9b63-7bb00af5a487"], Cell[BoxData[ RowBox[{"{", RowBox[{ - RowBox[{"A", "\[Rule]", "0.00023689417266654016`"}], ",", - RowBox[{ - RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "0.2735069372916956`"}], ",", - RowBox[{ - RowBox[{"FC", "[", "0", "]"}], "\[Rule]", "0.006568639289190469`"}], ",", - + RowBox[{"\[Theta]c", "\[Rule]", "1.1794056865572926`"}], ",", + RowBox[{"\[Theta]0", "\[Rule]", "0.21954119175540773`"}], ",", + RowBox[{"B", "\[Rule]", "25.29499205495345`"}], ",", + RowBox[{"AH", "\[Rule]", + RowBox[{"-", "0.0037017931470797382`"}]}], ",", + RowBox[{"AL", "\[Rule]", + RowBox[{"-", "0.04675689259995678`"}]}], ",", + RowBox[{"AM", "\[Rule]", "1.402131220096063`"}], ",", RowBox[{ - RowBox[{"FC", "[", "1", "]"}], "\[Rule]", - RowBox[{"-", "0.21653250585699182`"}]}], ",", - RowBox[{ - RowBox[{"gC", "[", "1", "]"}], "\[Rule]", - RowBox[{"-", "0.022732033947896267`"}]}], ",", + RowBox[{"gC", "[", "1", "]"}], "\[Rule]", "1.7856617805311157`"}], ",", RowBox[{ RowBox[{"gC", "[", "2", "]"}], "\[Rule]", - RowBox[{"-", "0.0038243976578045346`"}]}], ",", - RowBox[{ - RowBox[{"gC", "[", "3", "]"}], "\[Rule]", "0.0009923677453344234`"}], ",", + RowBox[{"-", "1.5501692081318597`"}]}], ",", RowBox[{ - RowBox[{"FC", "[", "2", "]"}], "\[Rule]", "0.18393338396888678`"}]}], + RowBox[{"gC", "[", "3", "]"}], "\[Rule]", "0.5183558036085821`"}]}], "}"}]], "Output", - CellChangeTimes->{{3.825763769229417*^9, 3.825763862906001*^9}, { - 3.825763893981986*^9, 3.825763937705072*^9}, {3.825764027795516*^9, - 3.825764084811095*^9}}, + CellChangeTimes->{{3.826689120800562*^9, 3.826689127418775*^9}, { + 3.826689158488123*^9, 3.8266891737031317`*^9}, {3.826689317590938*^9, + 3.826689360645096*^9}, {3.8266895920966187`*^9, 3.82668965774481*^9}, { + 3.826689994862856*^9, 3.826690033288772*^9}, {3.8266900773992367`*^9, + 3.826690138259676*^9}, {3.826690170487563*^9, 3.826690210884091*^9}, { + 3.82669028582425*^9, 3.826690412478512*^9}, {3.826690525277103*^9, + 3.826690586804343*^9}, 3.8266911044203787`*^9, {3.8266911415341454`*^9, + 3.826691176067152*^9}, {3.8266914431034403`*^9, 3.826691466496176*^9}, { + 3.8266915698104963`*^9, 3.826691589183861*^9}, {3.826691629285613*^9, + 3.826691658570911*^9}, {3.826691691287863*^9, 3.826691696658971*^9}, + 3.826692543677533*^9, {3.8267021751874743`*^9, 3.826702188045772*^9}, { + 3.826702249172145*^9, 3.8267022876310787`*^9}, {3.826702328696328*^9, + 3.826702337613181*^9}, {3.82670240505122*^9, 3.826702415381674*^9}, { + 3.826702466382925*^9, 3.8267024746472607`*^9}, {3.82670292325323*^9, + 3.826702926250457*^9}, {3.826704726369697*^9, 3.8267049509999313`*^9}, { + 3.8273110328413973`*^9, 3.8273110427062273`*^9}, {3.8273130359585447`*^9, + 3.827313096509973*^9}, {3.827313127495216*^9, 3.8273131369191723`*^9}, + 3.82731317007028*^9, 3.8273132039981737`*^9, 3.827313246533884*^9, { + 3.8273133462431517`*^9, 3.827313389144965*^9}, {3.827313425515341*^9, + 3.8273134583541927`*^9}, 3.827313492781188*^9, {3.82731352923447*^9, + 3.8273135589068947`*^9}, {3.827313596780452*^9, 3.827313655707004*^9}, { + 3.827313919011878*^9, 3.8273139325541162`*^9}, {3.8273139642216597`*^9, + 3.827314074115497*^9}, {3.827314372765233*^9, 3.8273143825934277`*^9}, { + 3.827403799553021*^9, 3.8274038250868883`*^9}, {3.827404411304475*^9, + 3.827404474434816*^9}, {3.827404520773925*^9, 3.827404582308402*^9}, { + 3.827404734048932*^9, 3.827404820482794*^9}, {3.827405568262806*^9, + 3.8274056500914383`*^9}, {3.827406440885428*^9, 3.827406445571705*^9}}, CellLabel-> - "Out[467]=",ExpressionUUID->"486e10ea-c283-406b-a107-3b4f8a565879"] + "Out[538]=",ExpressionUUID->"c721f549-2817-44bb-ac54-1cce625d65af"] }, Open ]], Cell[CellGroupData[{ @@ -731,219 +1588,184 @@ Cell[BoxData[ RowBox[{"Plot", "[", RowBox[{ RowBox[{ - RowBox[{ - RowBox[{"h2", "[", "\[Theta]", "]"}], "/.", "sol2"}], "/.", - RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], ",", + RowBox[{"t2", "[", "\[Theta]", "]"}], "/.", "sol2"}], ",", RowBox[{"{", - RowBox[{"\[Theta]", ",", - RowBox[{"-", "\[Theta]c1"}], ",", "\[Theta]c1"}], "}"}]}], "]"}], ",", - "\[IndentingNewLine]", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol2"}]}], "}"}]}], "]"}], ",", + "\[IndentingNewLine]", RowBox[{"Plot", "[", RowBox[{ RowBox[{ - RowBox[{ - RowBox[{ - RowBox[{"F2", "[", "\[Theta]", "]"}], "/.", - RowBox[{"B", "\[Rule]", - RowBox[{"ruleB", "[", "h2", "]"}]}]}], "/.", "sol2"}], "/.", - RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], ",", + RowBox[{"h2", "[", "\[Theta]", "]"}], "/.", "sol2"}], ",", RowBox[{"{", - RowBox[{"\[Theta]", ",", - RowBox[{"-", "\[Theta]c1"}], ",", "\[Theta]c1"}], "}"}]}], "]"}]}], + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol2"}]}], "}"}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{"F2", "[", "\[Theta]", "]"}], "/.", "sol2"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol2"}]}], "}"}]}], "]"}]}], "\[IndentingNewLine]", "}"}], "]"}]], "Input", CellChangeTimes->{{3.8175672854849167`*^9, 3.8175673108365*^9}, { - 3.817567343605356*^9, 3.817567515945986*^9}, {3.817567689779602*^9, - 3.8175677001061993`*^9}, {3.817567852209393*^9, 3.8175678553653107`*^9}, { - 3.817569677608418*^9, 3.8175696880410147`*^9}, {3.817581502775428*^9, - 3.817581583359663*^9}, {3.817582250277421*^9, 3.817582268443882*^9}, { - 3.8176137509420633`*^9, 3.817613772032806*^9}, {3.817616947220008*^9, - 3.817616967115974*^9}, {3.8176195353257837`*^9, 3.817619546043696*^9}, { - 3.817627764775979*^9, 3.8176278238158283`*^9}, {3.817629596792068*^9, - 3.817629639260833*^9}, {3.817666456802641*^9, 3.8176664741498337`*^9}, { - 3.817667652558447*^9, 3.81766766911417*^9}}, - CellLabel-> - "In[468]:=",ExpressionUUID->"48ef1564-45f8-4d3a-b3bc-835e87c4b434"], - -Cell[BoxData[ - TemplateBox[{ - "General", "munfl", - "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ -\\\"1401.72121331819`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ -normalized machine number; precision may be lost.\"", 2, 468, 240, - 31534864382615644419, "Local"}, - "MessageTemplate"]], "Message", "MSG", - CellChangeTimes->{{3.817667666243705*^9, 3.817667670105051*^9}, - 3.817718073893684*^9, 3.818229611580694*^9, 3.819021245109127*^9, - 3.825758698752802*^9, 3.825760635078402*^9, 3.825760674908629*^9, - 3.8257607134416437`*^9, 3.8257607608977633`*^9, 3.825761108871043*^9, - 3.825763272720209*^9, 3.825763894834566*^9, {3.8257640790935717`*^9, - 3.825764085116687*^9}}, + 3.817567343605356*^9, 3.817567515945986*^9}, {3.817567689779602*^9, + 3.8175677001061993`*^9}, {3.817567852209393*^9, 3.8175678553653107`*^9}, { + 3.817569677608418*^9, 3.8175696880410147`*^9}, {3.817581502775428*^9, + 3.817581583359663*^9}, {3.817582250277421*^9, 3.817582268443882*^9}, { + 3.8176137509420633`*^9, 3.817613772032806*^9}, {3.817616947220008*^9, + 3.817616967115974*^9}, {3.8176195353257837`*^9, 3.817619546043696*^9}, { + 3.817627764775979*^9, 3.8176278238158283`*^9}, {3.818229824671139*^9, + 3.818229831606958*^9}, {3.818233166561644*^9, 3.81823316664911*^9}, + 3.8182444139503117`*^9, {3.826008373734087*^9, 3.826008396493952*^9}, { + 3.8260133301047697`*^9, 3.826013341448687*^9}, {3.8260134958356*^9, + 3.826013508779696*^9}, {3.826273132094234*^9, 3.826273132189824*^9}, { + 3.82669166646017*^9, 3.8266916666199207`*^9}, {3.82670494152559*^9, + 3.8267049433095284`*^9}, {3.826704998497435*^9, 3.826705009798936*^9}, { + 3.827403808596418*^9, 3.827403808955679*^9}}, CellLabel-> - "During evaluation of \ -In[468]:=",ExpressionUUID->"7bb7d7a9-5cae-47ef-b670-10317a058f55"], + "In[539]:=",ExpressionUUID->"fb42dfa6-f948-472b-87e8-e4cb6e90ba26"], Cell[BoxData[ GraphicsBox[{{}, {InsetBox[ + GraphicsBox[{{}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{13.512215285129393`, 5.145423971340392}, { + 4.245699215955369, 0.3750000000000284}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.1794056865572926`}, {0., 0.}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {109.19360222251683, -62.28491567201606}, + ImageScaled[{0.5, 0.5}], {203.14140143277442, 118.63793461336392}], + InsetBox[ GraphicsBox[{{{}, {}, TagBox[ {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[1.], LineBox[CompressedData[" -1:eJwt2Xk0VO//AHBSQipLdrKkohRJVOidPSqVhJCtqJREqJCStEglIktaUJ+i -LNlm5o7elsoSsiVknTtjbIUUEvrd7zm/v+a8zpnzzH2e573NucoevjaeC3h4 -eKp4eXj+98mT+lwg22IcFxvmbSwWtH8XlalwdMp0HEsMN7iMKGxBcVp8yU7j -cVw5IVOTIWOGa5oj/ZsNxrGICEpzFD2EewS9Oqc3jeN2tD83wOOJSYFrck3k -x/G3bV6FeG8Aalv/Z98+Noa/mtZl+zy+hp7/Xr5YmDyGdnNDFdJyD9CjkQy/ -TIyizu7jyT9q0nFZ7ETMoNMPNOe8yr1cl4Xuu7U0t/F9x8ve91jDNnkY5n37 -vvvcCI5r6itmu+Vh8q3+iVtTI2i1KEfy+Jk8bK58ROsYHsHtUue3ltzKQzNT -QePQlhEsGT5zeAbzUN2QZYvPR3DTpuo02rq3OL7xQbDZrhH8NSexxOrPWwwX -m/5w4M4wTmrdjxwILkA79ZKprhvDqNadcTQlsgDX7byq7n11GE/rWdibxxRg -i4/wnavnh5ElNRh+7XkBqlUr2ea7D+PPtclTzz4XYP1lS9YK3WFM6XWad1cp -RLnvyfNfu4eQVB449resEMf43LSOtQ9hZ8/1vW8/FeJ72dUeY81DGBFu5+H+ -pRDP7Mr5IFA9hNdmroq/HCjE8vSK6G35Q7hth9Crr8uK8ITjiGzKjSHMmjlv -VXq4CAsrDfVctIaw60xII3OwCMuFONGB64bwLXkMt0wUYf3eaFa06hA+qYGk -57NF2N/ccYeQHsLImdEV3suLUbL3PFuadwi3VpyxvK5TjEHTefebGwcxw1Ew -TvhSMeqqrxnZdW4QXRrsNjkspqHx6TojN59BFA1Uys5dTkPrnICH548PIk9I -yDYeaRp6bakwfuE0iMKJp65cU6NhgpFbEp/pIBbX848qW9Jw8nCy+bsVgzhr -sHZ/3k0aFkUte7a5aAA54mb71/HSMSP8Z7RX7gCiwryamQAd4y60XkjKHMB6 -jW037JfT8azX4/3/Hg8gz4eWNg8FOq433sjz6cYAHvugMi6+jY5P/+x19Tg8 -gDH6VrO9Z+gYdeKOwv1ZLopFJDdsbKHjBVc/wfeTXEx/rplu0EHH43aHfk+O -cRH0wpWNe+loaqpQ58zhYrz+njU6I3T8p/gmVK2ei+aXLM4V8DEw4GvtN3zC -xRwXic1rNzHQxVw4+YcxF+8u19rQHcnARVscD0UacjF1eWnpnSgGvl71UkR+ -KxfteM5u1b3HwBke0xuWG7jo5hPQ5pfIwAQiJCBDiovrw4T+xGUysE5r2Npx -pB+fPat8c62OgQZyNXwf4/uxfuf5m4rLCCQFpdE5ph+l8v7Rv4sSGDXtGTwR -1Y+CyW9+FkgQ2PaFd1zpSj/WtE1f2qhAYEDMtu4Q7340XNEjV7+ewKxFr2ib -oB+ly0b9Sy0IlB274ZM6wMEDeafiLwYTOC1E24MsDlqmvFbIvERg6+qB9X2d -HKzZnPa46QqBsU67hlQbOShBz45ZcoPAJZUCx1/TOXhEI9JVIY7A2dRbbkQU -B43ftv4te0VgB40OXdc42Gkw997/NYG05sGV/8I4KF2j/kQuh3o+Qasu43Mc -/JlVEn2ogMDvAUKONU4c9FVadsH7HYHdu28fbNfgIH2T8rBMI4FML0L77xoO -elk/CdvTTGBy+LCogjIHnywWNDj/hUC74t0NbhIc3P5iZHthO4GfVYT3Dsyx -sfDapsDmPgKzDQ00hKbZ6HzZ7FolSWC0w+klGj/Z+NnzR3U+h8Bdd2urffvZ -KGLq8i9gkMDSP9HmU/VsfJN4FpLHCHy8omS1TDUbEw+zNPf/JDBU8/tC/Qo2 -ciWLjs5PELjNc29FWDEb/8T9SjGZIvBtw9Kd/E/ZOFvBF+o3R2DMsKGiWjIb -/QqLCwbnCTzDf2be8gEbZxa+M3TkYeI6g3rmnZts7LMxtVDlY2L6f3e3Sfix -8fiaAU9nASZuZ6gNJJ9io+jkl8dXBZnYUFueoOTFxtfzmlppQkycHZ+cWO/E -xul7V93rhJloZ+CabWzGxjTHDaotIkwcsf7jXAVsHCEWmX8QZWKEe9wS6+1s -/PhA4FOOGBNzr1eeOKzJxjuXf/H5rWCiUKPmqrMybFx3Y7d9hhQTn5LVjb/F -qedTcKK5STNRb/LolZBl1O+b+tyQlGHiMbnErut8bNw6JBx4RpaJMxu0o4Xn -SczWP5QgIsfE+ztrt8dOk+hYLrH+NeV3njyJqd9JrPe/WPBZnom2F5LNVw2Q -mJHSkWWvwMThKJ3fL1kkhk5pyrdTvppan76xi8SLV9v5bVcyUTr3hE3BVxKv -p+r5VFHOLl/Au72JxHXLsvbrKjLR9MujHKwl0Xn+wdtUyn4zDcKfykgsmLGZ -clBiosDSU8R+JuV9w52vKT9WXOTdWkTiy8Kr5jOUdbSfSDvnkXjZKnSLkTIT -a0y3VfZlkVh0Tz8rnLKbfXPg8RckKnmrviIoT530Uf3+lMQm5RStUcp3Qxc3 -+6eQOOi+0ERehYmq956FT8eTeHbrhz5jyoxn+lphMSRukjRZdpTygYIv3Xy3 -SYypJ6tDKQ989L1zK5JE74dLJWMoh7ULGiy/QmKrwNpfjyivGEkfehBMorLC -Q890ylnzhkmygSRGan049T8bi7ZZPPUlUZ5XRiCVctsq/8nV3iSmZc/o/2+9 -M7rCz7OOkejGaBK4RHmR5YuDm1xJnOQXOvu/53nktHNB8WESTdoEz5lQ1j7T -kWtgS6Jas764AuWqKwGu5dbUfcwJ2oxR+3WNW7ZslyWJ70u6tUooTz5/yawz -ofb3TTUvgnI0zfjUwR0k2l2yaDGhrPKpU6Z9K4mSGm9T5qjzpncFVblsJjHw -c4NAHuX9YyLn2RtIPJOzXMGFcv+CrNXeaiS2nfvWvpByqIRZy6gKiRqqz3Y+ -p+5XTK3naqACiT5r622AMuwV770iRuLpJxKX3aj4oIkPqaosJTFng4/wEBVP -2h2lJysWk3ikpfKWD2XV42cmFs2xUL70x2EPKh5TN5ht/W+KhbxCZ3OaqXiV -/CV3addPFjIDXWZ2UBYIr+a/zWVhy8WxQD4q3sMtnu7WYLGwqH73K2cqH2aW -no+p62ThqncRX3OofBlJVpUVaWLhktRZdVMqnxoKLm+IZ7JQNHJ3nSqVb5Yh -dv66xSyMDC6f2yvOxHKjDcVf81h4cc0iHT8qPwvqO3bK/sfCLVGnip9T+Zw4 -sMX2yX0Wigfs3FlJ5btojnDSzmgWvmUkfChdwsSoQLKr7zoLq9aUOBVQ9SF0 -wf3jqqEsVBlZUHqLqidu8iPBr7xY6DMG975T9aadVY5W7iy0bWeVFS9gos2r -pIUjTiyc8/AVCeWl8knX4u7GAyxMMW/jn6Dql9r+tGf5+tTzj/67nPyHwPEI -h6oSERbuFvfuavhOoLeV5lLXJSysz7sVZDhCIFuE34aHn4XbJ/iMM4ao/pKa -/834bx/++ZAT6MYlkFG8bLSS04cjSlHn43oJvDr8XqKJ0Yc3w0JXcaj6r919 -KWy+oA8dqw6offpMIKtBl7supw9vySqfy6wj0KToJS0ivQ/59/OwbKsJXBge -7bQlug8ll8k6HC4l8Lqk7bPEI32oV8sxUnlDoK7gUqEP9n14PItzNTWTwP6/ -H/zHD/Rhi4PjWrGXBFr06ZlamfehwKnladw0AgVey3H/buxD5QRmrEki1X+N -SA1Xnj4c0pfnKwsncLvOo/jbM71YZyHq1BxG4NCaQ/PFv3rxQ4WrTk8IgbuF -Kz+LDPbipEuMPxlIoPDXTP/yxl4M+SBo8/gkgXdP+9NWp/diQ/uUac8+qt8+ -5DUdMetFB1y/J0WKwJlw1dDQnb2onn06XHkFgUdPWxQI6/fifJ6YaZoIgTpG -d1Q3aPXi+8Hm83GC1PkOSS86I9uLco9UP+j8ZaBuqFt0T1cPLvGn2Qd0MXBX -dUlMv2YPfv+o4PczlYEyj/l4F6/uwVFRLY+6JAYO+Vv6rZXtQYu9ruLp8QyM -lv9y4MTCHozpv8TccYeBjb4jYkNt3ZjQmmWnF8pAR0m5+O/h3Xj+yHpxzcMM -9Dl6IelXcxdWll2bM1lOzUMxVw+sr+rCLKbvgJgQA0dKogU9mF2Y32LL+baQ -gaeln138nNGFGfs8FJxn6OhdV304M7AL/1wYK5Xg0NFLT07WTaoL+7zXZfrS -6eiy5F3yJ8dODHb2pNceoeO+fL5HaX0dON1qfTUtnoa2u25cEWntwNEEjFx9 -j4YOXUKeYTUdeL5c7lA6NX96LBbb6JjfgSNPP7reC6FhoJNSqWhkBwr1W7io -u9Mwhc+QfUWtA+WMhz95rach92CQhqtvOxaXRn2VYBbj5V8DTLm5r7gpTmeW -Vl+EraI1saFWXzDw8afUV6wCrLYqO+x7pAm7fMyCDG6/xY94IivO9DMmzImz -Pq3OxY3KIZGnD1fjKSO7e65FmajtafTo260KbMgpDTwzkIFCFfPbdAyYyMxR -PRlw6zFKr2v+Nx2ciwHjpgq5v++j1GJnL/9FCVhidt3i64oLaBv5e8/ehfHw -nzxNvftvEAjY0UP0v+dCpJohXcsvFuQ6zBreNxLQHabVPi79GMgpAy2+hgrI -//Zr6Qqt56CglE7cSamGP2F2GZmTmbA4RrRrF99ncHfplVogkAuubPVlY75N -sGrurVtt8luIU/08fVDjC2jLZzp++lQAF8/Jfhjp+ArSayPy2oqLwHzXjd6Y -/q8gww1I/Q+LYIXCr786P7+Ct1hjnV9lEWR/rNO+JNgGLEPNianWImDJhD9d -urUN4p+7rPj0uwj2lHJDNsa3QbGWXkOUdjEoLi3UPruvHaRsT2x1f1kMH17s -ezpR0QGGRcv//LxGA5XoAfmG+g4YbHo5IHqbBmF+4Umv2zugse6FicZ9Gmw1 -yI/1HO2ArD3CWw6m0iCzUTLyq+w36JRd03qykAZ3Z7tOEn7fQIYn9iGNTQN7 -m9ObIxQ7wfrgF5sGoEOB3qJc13WdEHH83anDZnQQUXisYbClE7RY+xhdVnSo -4X5e/duqE0yyKsa/HqKDwaXN0seDOuHNL7eU2FN0UHo5M2tV1wk2tjWeigl0 -GJy7+VEspAv2f7ptfptLh7aoI3/brndBxPmAlL4ROnyU0tZ6EtsFXYumRbR/ -0iFt07ek9Zld8Lwy5FDZLB0cPTf4mLZ3Qa2IoVCSKANqaxvFg/S6obF0gc36 -7QzITpF1b5/oBoetLG7tdQY8UhuNf/KvG6TahayP3mZAVGFFjeeSHni1tz12 -4h4DvD6f1vmp0gOjkka5vEkMUOTDxUtsemA60pi3JZMBMd5Hsw1ye2D7aNCW -fXUMoMu3zu3T7YXgqqwP95cScOFU667P+r1Q+nKqVFGUAF1Ga5y1US9MkR/X -v1xBQIH9V/W9e3rBb/yc5Us5AnJj2w5ZefSCaCPtvKc6AS8Evr0xvUutd81H -t8mEAE/7b9MVcb0w9lviBL8FAaovvpmYJPXC4aqgUR0rAp6ZdLYbZfTCu6A/ -01f2E/AorGsRMHrh+039mhZnAmJ/9RzZ1t8L+ftCeLwDCDhg0vuSNkx9v0u2 -3vg8ASKxvRN6471wzHPyq0QwAXc0+27pzvaCCyxNzrxMwE1vVuFmsT6g/QrL -uhtFQFgve+nGHX3gtPV5GjwhwLt2sEQloQ8OuV0f2faeAPPjb/yvp/SB5yN4 -tecjASoL/NYOPe2DOQjIOlxFQIfedExeVh982nsl2KOWgN3p/Md2lvXBo683 -ZTVbCNAIXiXkMtIHKdejV+azCBCQ4L4rG++D/a42kSfZBLBzMs+tnuqDNOVg -Wdl+AlI5m7pGeFnAs0yn5uQgAcsO7MwNkWKBqKipVMUoAaNrj9glGbMgIz1I -zfkvAbXlSkvmLFhw5JdITcEsAS+PsNFtLwum5M0iFs8T4BZ3Sl3NgQWBli26 -KTxMaJi/OFvkw4KiAtGQkEVMeJ1kmCd7jgWrlWfzMviZcFOH1yvsAgsmEvR/ -Vy5mgpH3zc9mESzQC1VImRVkwtsvCWktiSwIbd1uuHIZE+6edbTf+pgFef2J -OVLLmeC9ZKXwo3QWZHvIr1oiwgQVo+eBR7NZsEt9gUCvKBPmv51YV5nPAkbM -o6AyMSZ0BGn0rKOzYDi1tveROBPiXufv+lnBgi1J7mlGEkw4a3F+7lA1Cwh7 -3ikhSSbsYW1/S69nwdojr43qKS+ULpcLb2dR+0jNN5ZmQkBEw4/loyz4HnqA -ZMkyQeZn3uWBXyxQH2w8fVOOCe/c4kTKZligvH13/Rp5JgjssNP25yfB8Ji6 -mLUCE9681quwEiZBp3P5eCtlGzkZ21ViJEwH/XzqsJIJj6a/BbYokJCTWHDa -XJE6n+Ml/G9WkXA1XibyLeX+L48fRqqTYPUs8riUEhNum15Rc9EkoSnLQCyQ -sla+O113CwlcpYiIT5S/KJtYLdcnIWgglS6rzITgGNVv3J0k1Hg1vfWgvPLf -otOl5iRUh3r5pFOu8OHOJu4hQfHmU24n5ROdVXf8bEgIPFqpuFyFCcK7M1da -OZDA9FJZsZ1yHv12jooLScXxn/IjlO3UfHb+PUqCGO3BumDKfxOsG5tPkjCp -bmh5j/LTRVoer31JIJcYKFD/L8AsQHTiWiAJS9d/y6D+f8AQ62fEkRASNjQf -606jfO9AywrdcBKy61dVJVPWKS18vuwGCd+9jrrdpty+8aEuN5oE72O+zwMo -h6VeqMRYEhYsfxBvR3mVsKNDYiK1n40rNTdRrgrWHzz7mIS/Ak5nF1L2GZQP -tswgocor0b6B2q+Yw7yQSiYJP+6qkg8oF3/sSZnJIWG/pbWoDWXnLWUazYUk -HOs+1ruYMm9GWkkWQUKEFM26iDrvF2LXrK+VkSAOiY5HKO8O9+xxrqTOW8lu -wRx1f2Oj5me31JHQIGhiGk95e51gbH8btV7O+L0c6v579IdVsJsE2j2HhE2U -r2XW5j9kk+COW7VeU/FSf+Pel11jJPCPFkjdpuLr3ORZL+VJEhzWzriPUvEn -7Wkz9ecvCXJKS7btoexhLCGTtZgNtccHro/KMGFx3uSriKVsCBbymNlC+bVi -23ZncTZcl1jwK4CK78nZZOelimzopkuc66TiP+VU6HeOKhs2V2//vZDyzo4j -Ye/WseHYhsHJ1VT+RBUrPfXVZUPMQyv/A1R+aa5ZsGmXARsYBvkDTlT+tTwg -y5SM2fAgUKTNhcrPlf4vyMa9bLB8JiNnTeVznobGWh1PNjwySlnYJMSEx+np -Ay+92ZDQHEcroOpBlKxcpsJZNpxYkNsUI8CEYwJCGxaHsMGmbInOFqqeSLK5 -2h0xbDiw9tz1jbxM4HNy/WWdwIYtm1+ad/4jYKyxtbAihQ1wLtQjgqpX1fhh -65sXbPgoUvVfCVXfQlPSd1xhssFB9aQp6zcBJ8TkeH6XsaHHSazE8RcBh27F -lp2sZMNf77HrtT8J2Hg+3PRgExtWZSsIPqLqZZ+Nq9WaATY06UumDw1Q9VxI -zq5WnAPOt/5batZBgHZ4rJSRDAfOeKr9O9BGgOK0YHvhSg4cYTpscGglYJoz -7fREnQOX1Qq3728iIKus1d0fOLCwfPz3j2qq31yM9ZE+xQGH/GstnGICZkcF -Ne+c5cB7vjd/IgsJGPQKH+MN4kCd1SkLxXwCym3Pnhu+wgE89NbeMJuAQC3r -i+8SOKCK79TWZlD9hCsYeaycA/I2vRdy7xIQo/1ExbqKAzOdw9ovbhNgdkmn -VK+eAyWFC+riblL9Vsz1r1AHBwgt1RS7qwRcNyzwyxun9hcpERAcSMCmOBeX -eaV+KHR8U7bNkYD+rom/3DX94EZavn9tR/VXtVtJjRr9kG105a7UQQL43+W3 -ZGzth6WM/HMtuwnoHBDYvXt/P9ySVbcfNqD65458vcTL/dDgMrU5WoGAHbd2 -fQmP7AenyLzZYBkCJpq7/E/d7qfmnM2B7hIEuJwUyN7xsB8ezr7xlaDmCZ0H -R1Q52f3g2BHjLjPLgJ7BxaLa3f0Qwx8/ca+NAbrxzkOfDLhwMKzq4wZqnhHU -KBxPMuZC1+Cz3LXUvNNZvvTP8V1c2KYrcUomnAHhY+8WL7TlQrZ+1B52EDUv -7VZebXCKC1GSkqlSHgw4uqDf9XUSFxKr5g9M6FLzjq/vl+hJLrT0aUoGddDh -KH9Vp+MsF6z+nnxwvIUOuqlKbLUFA1AoF8jYX0+HzprGn++XDoB8yfI/guV0 -WLtGR2ROdQDsoiYUpF/R4V3ntJXPwQHQWhDy+1kgHYYtr5buzR2ApM7awKMC -dOAfPDtdXDgAPz6HS5bzUvPiTVctFYJaf6/aQZm/NLD7aPB08sMAvL0d/Sjv -Ow1KjacuP/k2AJsqnh661USDB/qnYZx/ENLvS8a2JNPAYIPduwdHBkFsmvza -vJoG0SLrmN+EhmBvkZan6epi8I3QbWCIDEHLyVPLl8gXg82kMTtJcghCvH0r -q8SKQabTSdhBZQiKG2nO6jzF8OK/O84t24YA15T9C+sogrId47O1J4bg8u6H -ZiF3imDyNM3w3cchqFAR5uaOFIJbtTk+vToMtYsl877dK6D62yCf/M1hgN/3 -6pUjC6AIb+96eGcY6kZah12DC0C4qKHxTuIwnHEUX/X+WAHQ0hzZwdnDoL/c -yU9jWwGIhJ4RPNQxDOYxpVMhvflQujHhoKD2CJjJSyqJqeeD0gMO169vBHyv -mAZPP8uDbV724Ue2/YBVuxfJJd98DZHrdqhcyR6FmgMajZflMsD1ysEA+8gx -gGXSk8POCdBUlVHvdnMMvM0a790QSABT0Uk179tjEFb8aclMfjysS0vsCr0/ -Bvb3gl4dFYqHXxVd5mmpY9BgJBNoWRgHNxefkPleOAY/emirXfnuQ+7d0HdX -+8dA/Cdj8BjvDVD5WicdPTgGd7Bcz9b6OsQrKp6LHxmDXOkhi/HkSAjOLVv7 -8ucYzFia5epsvgamTfz36+bHQHFFXHavazi0Sdw/Ki01Dq5yqTUpB8+DlQur -RFl2HNTPndi4mQyEkhebpdcrjAPjfta6Nf4BkKbXWmu4ahzmOHkTK+/6wenD -crpHNcehgvfwn+LQ49D97HTMae1xEK8Nynt6/xgcGCoZCtwyDsWuw/Sdz91B -N8TtyU39cTjmczll7317eFmR9+f+jnF4Gk9/3557AOSE+WxTjMZh/5TG8Vcp -FnDX1jY7w3QcZLY8qvzzVA/+/30j/P/7xh3/B/nA9+Q= +1:eJwt13s4VFsfB3CEKKJSCil0VCIlIsk3KUrlFEVEISRJhS66CIlONxGlQqGQ +UORWQsclcit3cknM7L1nBo1JSKV3ned5/1rP55m916y9fnt919oqLses3ESE +hISmCQsJ/de6RQb/q9luZ+z5/3Z1baDtrFx9vIsTD/+vXbF1SUpPjjnSmgwu +fybts7CJ+vIcW+S76ZpXkZarzurLzzkEq7dPyipI+89ou1dWzmk4rygZYkhr +t79pVWZOGNKXsJddzw2DSeTOqPScuzhwRjtIreAulvdx5tMvU6Ee7eMeXJYK +z5MbC9/YZePhxHWOqm82zNdHJrutK8CJc9e6t5wswEInGaP02GL0CmnF58iU +4GDcrxr/LaXo8tNg96WWQs9A4m+v4ApcfCF7U1rpHWpGol5YZlQh43zEQGT4 +e2yV3nsyK6EGjrIzuN9ba7GpaZVMf0s9RHNL87sMP+L2xKLQas5H2C68c7tP +0AD3WI6vonMj/F7rKUanNmE8an2t9XgTKLe4vMB/WhBQqGmz3a8F/ontuVct +21BqkGKhKduG4RypKe5GHeCYuawIedwO/SM7ZuaqdGLKpQLT2AWfIOV6N8Sa +1YWuOffLHuR14ljomAm3sgdPW+ee3KfbjcTemqAsk17oDSlHiDT2gPdNK6ly ++RdY1ayul9XtxVvPwxt2SvbhUt4Tr8DhXsgIWXSm1Pdh9g7Ht/3FX9DecWLj +xph+xJ3t00wJ6IMs31LtgxkLMfypEcmG/fj71UVX1X4Wvs30TbsnzoJoxLw9 +fH82mkfWjUVKsrDs2+6tP8+xkdcmuum6FAt/s8SlxALYOBN3pztgFgvRqp0T +csFsTC59LeuqzELSYM5x9atsSGwQPr1iDQs6/NqdMvfZWOAdblrmxoLJvqdB +3wvYMK9+1jVQzkKhwqPycQEbrWVbx/+qYkFP9q977SNsuBbRsw/UsCBpl9mX +N8pG8Au1bQ0NLDTmuTV6T7BRfOfBq9weFlJ/Rs6uFaage/DanYBxFgoartxZ +J0tB5ZfnTllNNmrmnzvOXU7hxXcJr63abCjZZL25q0XB+GtyWLAOG84NzZ6m +2hQc+vqKRwzYSKoP5UbrUIipstfq2MzGqMfsQ0vWUpgRbTEt8QAbE7JTG35u +pvBTS6N89W023Ldc+Nt9P4X01OQPjnfYuJqp0tl2gPSnptYZdo+NXdfTKsyd +KRTPUxJ0PmQjzMgwV9WVQuCUGYtC0tkwWTv9a/lhCqIdw+eaK9hQL3lg/dqP +/F/Iq9Unx8l4152Rd/uH3D+ph4c/SX/8Qp+EqxSO+WdbvJ9ko+xbnGLXNQof +vZ85LxCjYFuquHv7TQqRdnHhFTMplOgs2DXvNgV57SDeHDIPHVKRovtjKSz6 +tCUpz5HCvjnXEmMzKGheW6qd5kTh0NN5GrcyKaw1kiiMO0jBcXjZsuDnFKzi +KxtDyDiXrdS47pxFIcTFTMT6JAVnEU6HdC4Fhmvq/PU6hdYFw2uU3lAYeaA2 +2BdO4eK2WNExYuEdU/xbIynEL1Yx/VhEQeF56a2iGApqHNmZASUUtvuavL32 +mMLpid+sd6WkXj+NFy4l9/2lKDtT+j2FN+nKzxTJdZ56v1/XE793nFwjQ65z +d9H9cLOaQl9JkeVoJQWPil7dabUU5EKMAsqbKDw93soZrKdwRsqw24lHoelZ +3kOPZjL+ovmHdw9R8OYVFMm2UIjw/jFiPkxhdFEE8onTPhZIaY9RsDHROPqn +lUJXlL7RbxEaAS4truc7KGCB3oN7CjQkxZWPLu2hMM7ifK9dQMP36Z6wUuLs +9PidQio07rjsybX/TEHdSEL80BIaq6LTLS73kvru6zyuq0vjo0fJ9rI+ClWq +t2oO6dO4Ps1obEc/hWDuJvUHhjSiuZeyWolH/TM7hU1oHJE8a93HotATE2T2 +YQeN3TbL0EeR99VpTYLILhrbHZfaO9KkXkt5P/V209BVFwpqJX6Xvzsr1p6G +XJcpv5ShkNm6RMnzEI2ryzzNQ7gUAuTqh0WDaBy3XXkkdZCCQVfwdoMQ0p/n +OklRMk+CJP2UI2E05grbP3Mkdl+d4NB4g4bjNurHtK8ULK38Kh/ep2FY35y9 +g09BQmGZalMcjb7tcq73iEu/dJ8XT6Ax0hM1p594zQlznaMpNOw2+54+TuZd ++ZZCnGEOjc5x12W+Agrtth/GjubT8Co68iGTOHJhiFXCaxoWqgMnGGLx54NT +Jf6lkbjfP23PNwpvTyW6rCuncdP7Dv4hPmtsW+RdSaMufMeH18RDdW99Wupo +JB9M75IfoZAafbJOooGGQa6bnSmxi6PGUqNmGlo2XfVexK0Dt7sTP9HIfqme ++Ir4Vs4Wg9ZuGoOnpf90EVuc/x0p+YWG+IM2q0nioumHthynaUT+Wd9t+J1C +o+RFtaNcGqo17da7iZmpdycPD5L6RleKeBFPij3vcOfTmM5N4wQRy4lW5hz8 +RuPGKTWJO8QaIp/DnUZp5ExvdEwl3iA05un4gwYTa8stILaZnGFm/4uG84Y9 +GZXEXr/UVWz/kHpreyU3EwdPGP+yFmHgULG+5TNxzLhN204xBuVBR9ZyiDNH +vbN3SDDYLX63kU9cPhJ6w2I6A5F5Lo9GiT8J4j3MZzCoj/dOnCDm8/NMN81k +0PVkf/svYvGv9comcgxO72s2+U2sOEj9WC/PQHGmT89P4pW8yWZDBQZh6z5l +jBObcea+0F/AoNjn+fNvxA70imu6i8j1PlH9A8Q+bDP3VWoMrOdpbmURX+nf +b7JCncGlQ/N7O4jjv5xSWr6MAS7/Sakjzvl8c2yJJoPI10GPSoiru5MbF2sz +kPMzff+cuLezOENFhwFlwqjEE492tF5R1iPP0zY77SqxVPvQQUUDBtrSns4n +iVVbxTFvHYMF3TfN9xMbNCsrzDFm4OGu7rCZ2LJxzfeZJgxiec3xGsT+9e7P +ppszkEmRyPhK6n+zNiBUwoLBjTltpz8QP66+4yy2g0E43/JYBvHHd+/k/1gx +eE/X9x0kpsp7BD/3MGjYp7LfiPhX6Wjd+F4GswayRGcTLy1RDxHsZ/AgTq3x +v/fXuMj4wFdnBkf1d45fI95daGM44MogqmfXln3EgfmhfLYng9XNXq4jZH20 +PaccOk4x2Fale0mWeCBjUr/Vn4HYOqOhRrLeRNLnzm46z+Bvzx2Bt4lXpJq9 +rw1msHyaxjwZ4tBHyXpvb5LxxS+U5pP1HRtfLFsUwaDArDI5iTg7tpX3KorB +Tf881z1f/8sj8cSX9xmwF0pvf0nyQS/CfUZKMoONn2aU7CV54iXr2BH1lAH/ +5+6NfwbI/IRbPw5OZ3BLpvlHErHczQ2G+7MZZFjoizIkpwVXFdznFDM4ZJR1 +wZ7kk8a0maum/MuApdF9T8Ah6/Wfqb/4ZQxuC72mrxA3hI1E1L5nMJfeJP+C +5NuLkPqiSy0MflV3vWFIPjJTKq6caGfgqFXr6EO88FKh9YFOBll/BrQm2KR+ +Qakcwy8MMt9dthclPhoQPEcwwODq8mNdIiR/Nc6sOeokyoG8+lHjVJLvLmOa +BpZTOThfEJ4hR3zvlNoUo2kczHw+aXaxm+TfSdl78rIcjG68MWbZRYE+wS2v +V+TAdUzUvJ3sH4+PxCutX82Bw65bDpFkP1I+IF4734WDU4drrBKrKEz53uBm +7sYBR0y66l+yrzFX4/74eXAQ66At+fkdmf883dUfvTl4dSJxcFYFBfMZB++H +nuNgq4eqntO/FI4XlXh8i+Lgt4WG961XFPZYXxNRieGAV2Jx6noBBUOOTazl +Aw76miI3heaT88ecoQ9PEzgo09PR8SX7+T0vJX2nTA5OSvab65D9vlTRX6yu +koNW9z0ym1MppGRtejhRzcEBNe2dC1IoXDeXXbu0noOqwZRd356QfPJN8brU +zIHKUsXomCQKvOqWprVfONi1PFKuKp7U+6xOYvIEB04lL9JeR5FzRzvPOFCL +iwUWYmxeAMnnxwp2p1dycWVU0TrqAgXu8a2+3qu5eHlRp8zwPHmfJFNSHNZy +IWK3NzXInzyvoYvs2s1cnDtw4OKYL9nvY9u/DDtw8fVC5JJLHiRPnCpCDl7n +orkjIWHeTnJ+0ByJtw/nos1SuinQksK0H6qvdkUSO4ZOUtvJ80QEDiKGi0Vb +0jdmbCX5X7rORukxF5ZcRX8VU5Kni7OXtBRywXmZcDhVj5wzmPhqMx4XVSYK +r1bMJ7/XJL68MMTFqvvvu7XkyXrKTI7NGeZCe8nsexpzKLj6ZXqrjnMxkmvV +qETOacpCxbMmRXmwToo3Z0mQ/U6+2z5XmQdDy/bJyTE2zpop8tSsePBPicpx +bmZj2+O704Vf8WDqMsWv7jIbd4om/YTf8HA4PyzM4RIbva1uPcIlPCjVzvPh +BLLhJ6mbJVLBA3/4bs0vcp6P9/5oI9rAg0V3+FVJHzYEBpKJUzk8FLK+SRU6 +snGv7qzBjPkDWCzcVXd+NRv0qKObov8AVqprDhxvZ2F3RFKx1PkB+GXwLC61 +sPB2OUd+MmAA4vr01duN5PvCya+6N2QA9uaDGRm1LGypvqqdfGsAdHDeuaq3 +LKTF5f9YmTqA6a5hs2JSWfDeNPOmWdsAInZaz44/xcJIRHneCb1BbL64o8aI +fHc4tR8vKhQewhYbFdUXU/vxLpfb5fZ2CAlDN6zWfv2C68ZpWVPCv2LuM/5F +XnQv+qaKlQxp8vGyzJZ3aGUPfhY+yLp2jQ+lxVvfzFboRNnmlgBVAR/9vboz +Fh1ug8SDk3s5u4ahXNhT1fmoCaFylFb982FYHd1rb6T1ATkHf3SnzxFAc4/Q +0+i4ChwI8L1f6CfAxVBuUFd5PgSjA9KupwR44HnqrpZnPkKOuQdJnRFAXqHK +1kEmH6lOdh6O5wQorrO5Z2WXB/5GrPkTJEDejUCnR7wcBE6d3rgxXACD1XWV +2ZLZSLiVKFn9lPS3MkzunE0qdCWVLvg8E6C5h99rHpOCd0HRfIUMAWxZNytr +OpLB9bnSduSFAA022lbj+55AZ4/3E+l8ARan8Pf1OiSidL6hya5yAfZpJh27 +mxCD3ZEvc35UCNCvZ5A0rHgX1DStpYmVAoyF5jnmRkdj2q+FMt+qyXg2zlt1 +JiwSVj1i3VENAmz7viW0ovIKWDYXd65vEqD8eq+p8MvLOPVhvIzdLEBkzLq/ +pscF4/5bXtqadgEY7+ok6c4z0Fzrpvy5Q4CXG6pzh1J8UJzVExHWKYC+11Kp +epYHdmrsFVvZLUBgzlqjFs5e9Cc2nGnvEWDQ7nBTzdYzxv8D3eDLjA== "]]}, - Annotation[#, "Charting`Private`Tag$31579#1"]& ]}, {}}, + Annotation[#, "Charting`Private`Tag$121326#1"]& ]}, {}}, AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], Axes->{True, True}, AxesLabel->{None, None}, @@ -955,7 +1777,8 @@ FnDX1jY7w3QcZLY8qvzzVA/+/30j/P/7xh3/B/nA9+Q= GridLines->{None, None}, GridLinesStyle->Directive[ GrayLevel[0.5, 0.4]], - ImagePadding->{{0.3749999999999716, 0.375}, {0.375, 0.3749999999999858}}, + ImagePadding->{{13.918811108970326`, 5.146744339546046}, { + 4.245699215955369, 0.3750000000000284}}, Method->{ "DefaultBoundaryStyle" -> Automatic, "DefaultGraphicsInteraction" -> { @@ -975,230 +1798,138 @@ FnDX1jY7w3QcZLY8qvzzVA/+/30j/P/7xh3/B/nA9+Q= Part[#, 1]], (Identity[#]& )[ Part[#, 2]]}& )}}, - PlotRange->{{-1.08, 1.08}, {-0.10990353947744509`, - 0.10990355276878123`}}, + PlotRange->{{0, 1.1794056865572926`}, {0., 0.7175279889805627}}, PlotRangeClipping->True, PlotRangePadding->{{ Scaled[0.02], Scaled[0.02]}, { Scaled[0.05], Scaled[0.05]}}, - Ticks->{Automatic, Automatic}], {143.865680335824, -87.675}, - ImageScaled[{0.5, 0.5}], {269.74815062967, 167}], InsetBox[ + Ticks->{Automatic, Automatic}], {327.7847647635738, -62.28491567201606}, + ImageScaled[{0.5, 0.5}], {203.549317624821, 118.63793461336392}], + InsetBox[ GraphicsBox[{{{}, {}, TagBox[ {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[1.], LineBox[CompressedData[" -1:eJw12nk4VN//APAJEVqEJKkkVBKShHAkW5Y2UrYQosUasm8luxJZE9myz5WS -dd6yRSGyJEnZZu6MwaBFC33v53l+v39mntcf996zvN/vc+557u7Lbucc2Ugk -kgPx898/KatgXYXeAlwcJPMHy7lDTMkO+5/aC/BygPom/JoHCNQ8bNTUWoCA -2QaV+/meINUf4dmvtgANdlT59i3eYMR9ZXT50AKcidR+UcD0g3RvKeyE6ALY -MqdalavDQOHU0wsfWSw4VfP9u+ynGGiw3PVMfI4FOYckFO9cjQWdq6nrb8yw -QNBAovDyz1i4eCfy1eo0Czp43r+r3xwPIXVOByQ+sSBmgwB1UvMedEnt++fa -xgI3g3irtNZEcPxXVMiRwYJf1Zr7fMYfAs8e/iSBVBY8vDVhWC+VAphuQIh4 -Mgs097f1Nl5Pgd/xxhc1E1hw5uQ7lz/fUiBBdJE7MJwFz09T1lhxpEGNyjGX -pWss4F98v/xGKAN4vboPTxxjwbluMNzD+xiwVCWxBWUWTGrKZRroPwaz+uz1 -JCUWHJK/+Foh4jHksHlO75BnwbPhLxK6q49BMVEo1VyCBW/c/FcCZrPhUoXN -7971LEi2fye/82sOXO6bDAupnwdO3j+P8cxccOQTk15TPQ8GT/tUvj7PBefT -Vu/DsXkInnjU09idCy7dA+J3C+YhKi+L/8C/XPDtbGuJuzcPDl97jr2zzYP4 -V0/XZtjPg6HDhTd6u/KhpvJ69HPeeSgqnD2hF10A9aynh5Q456H1oe5DgewC -oMhNfXxJmgeNbGGt188LoKXcSrr++xzIrM59nPpSAD3Fxm9ffZkD3kk/xd+K -hTD5RG7Du6o5WCN8XCx1pBA2Pli6T7ecg9Xn4gPTAkWwdOfGu7tmc+AopOpv -KlUEw7emN0icnQOVYwqUMuUiyLP+EHNJdw6eJSnri1gXgfL++jv98nOgre4S -wsgvAvumcN/GtXMw2vrY0Fm+GGrmNtsmkmchh3wpYdfREsgaj3ksWzIL2853 -XR3ULYHwAfbPb/NnYRzS9/iYlYBx3XdzzoxZcK/5Zu7rXQITER9NAu4Q16+v -ooY+K4H1O57oOZrPgqsG757SfaVgZygvp8I+C53CWlNFa8sg+Fpsot0KE4py -OyfoAmWQEU1div7JhC88PD4C4mXQ//pRzcgME9z1FOPENMpAR5tbK3CACcxD -u/v2eJfBfvUJUyhgwr8GiYiPY2Wga6X+kpbNhOPR0qnFM2VwOSBtG18GE2S9 -etnsl8sgs/bUmG0CE3QWJrY+2FwOG5TqndhuMSEgBE+Y0CqHBdlkfx19JsxY -vza78KQcNp6aH3XRYoKJy2BNc1k5SLsYoBQ1JlBjOY8K15SDfSmJgybPhPn4 -nTVhPeUwuNclPmobE4w6qnee+V0OtWK6OW8ZM/CnRpJt2rgCwviX287GzwDX -1dnXWtMVYLa/8efnyBn4ae6ed3O2AqQ1w/dfC5+BonXM2gffK2DAZX18+K0Z -+LZzCyVzLRn2dYqZVtnNgLJqveyIBBl6Qk5OCCrNwNCjCq7NtmTIS9ko+ER+ -Bj6DAa+0Exl8y/t1Dh6YAWHJvROHXMmw+5N1sY7YDBR3echtDCSDl5Knuw/P -DLRYPT7zO4UM22czVj+MMWAsq4Fe1EkGFrutvMNHBqQGccZVvSNDq4jkZVY/ -A/KbV1LLB8ngqk9uW9fJgNXWU/zu42RozmuJU6ligHZ4zEO5ZTI4WzBFMiMZ -wLK9EnhmMwbqHpVGe8MZ8L3B5GS/AAb8UT7BVYEM2Oluu+WUEAb1L0gTbz0Y -8MTlZOOB7Rhs3Lyl+K8lA04laHZHSmDw4rX60UvyDHhwkrHQfgSDZp7pOG9p -BsQKiLf9OIpBj3HcRJwEA4YqcqN2qGJA7R+JrxdmwD6Z0p+nNTAQ+nprSngN -A/aMvNl6UhcD8T27VOX/0CH97YlNh/QxkL3Sfk/vOx1+Y+qSfAYY6DIFj/nQ -6WBFf9lSZYyBz3JlYn8fHZZ6Uq4nmmIQfsycxnhLh52SCz8VzDBICCaps7XT -gcb5rPftBQwKOU7j8nV0UKw6HjxpgcEQH1MjIZcOInr6V0ttMZgwSUoueESH -wcx7y1yXMZhLUWU0pNAh4mbvGit7DDh3RD+ciaHDzcz5NIYjBkr7pZj6N+ng -/OuQb+41DLRudB+3daGDWNaod/11DE6RvVJvOdFhnPOVSNcNDK4cadEqtKRD -cAPFfcAVA0/fa2mN5+ngmSx8sMsNg+D6zXMDp+mQYHDwab07BinHbdPZtenA -IfubEeaJQe4drnkRDTqExeNw8SYGFa8rtBWU6WArt+q81wuDduOVeVsZOpTY -rRiXeWPw/n6+jq8UHY528j+87IPBWL9h5j0xOtjtftrOdwuDH+YZuhRBOvgL -pPwz9cWALev4o8GNdLi7j59/hvDGr/gCcx0dzCXOSPr5YSCy574eBzvx/MjP -Gv8IS105mrV9BYepu7oOQf4YKBSPLSr8xKGaVyhzibAGM0LfYAEHv6pB3C4A -AzPPgSXfaRy4nHS+SAVicPlFwMn7X3D4o8CWFETYdVk8++lHHERzO252EfY/ -9uYbpR8H2tD2SIEgDO4GexgMdeOw/DTo/TnCD14J58y+xuFXtqtlDOHHHE3f -OZpxKFlx2VtHuETPyVC0AYeuql/HJghXx2x8crgaB6mrCY/ZgjHID1uMu4Lh -8DFgaFGEcJLvkG96CQ7pz/uoBwiHu9U5dOXjgD8uDzlC2P3K4zP/HuNASUxp -PkrYxjpcTSEdh9vkl88VCJ8yvbLPMQmH9VRVSynCaoYGgmnEXCXP6dfzEz6g -JUt6G4lDjTH3yE+iPSIq/MyVMByumeQ2DBJeJ//jg3wgDt9EVJzLCP+UGmmx -98FhMWZhPIAwdQeFnOKOg+b5OVltwgOCuZmd13Bg+3nGdC3hFt67kX8dcMiq -UbkAxPg9Y7t2U84Gh6Ly12qehHN+GdtcNseB+VyYZyfhBNYhw4cmODj5nmxt -JuYniLblaIcxDgou3u62hC0GP2+U1cJhulqq6i4xnye7Xv22VSPuPztqsomw -cksBNUkJh+PbWL/vE/GwpdKF8ksah/yuMPcQIn44is6WyEji8Chh70kmEW+L -j4+k2OzCYbLWV+0c4d64FZc2ARyy/S5FchPxGeMcvyPxLw0cNBqOSRHx7Wvj -wd36gwYplwxuWRHx72R2/vsPFg3ExqjfYz0w0Nbe0W01TYO7dxx7h4j8+ber -PHBfDw02xc7fFSXybU4o0dmygwYVSm5OO4h8HN3gbZrQTIOvM/xVW4l8rfuj -JvOtmgbJJnXZy04YeH3o+gTZNPh4j2V+g8j3yz3Y68V0GtC9SLtUiHpwti25 -SjKZBjU1f33+EfVCtsoqNjaKBuz3I5d8L2FAT2CqXvCgwcVDqHiXOQaXdNdn -zGnRYGk/h5kmUa/WHrE4H6FOA+qJoUOthhiU7SniE1WmQUe1a50WUd9+k7Qj -Tx6kgXBi+7icHpH/9QFe+VuJ/suX/HyjiUG3/MwpCyYVVkxIz7gOE+3dpcKz -QKUC+8jew8qHiHjaGNkWOU4FXpE/2fZyGDjPiKu9GKICfYOGUekBYj4KLfbz -vaJC0MXDVqt7iPjc/oa9/SEVBHjbKdVE/Z/kFgar+1QoulPblUqsDzHLjv5L -MVQouWXC4bUJg+HBNQtioVSQvvzx3w5e4vn3VcYCrlHhotD9JGU2DErXFtcc -QlRQ6/bj3fqFDCKsSJcsfBqEhfkN78aTYZmnxggmpoFN6GRlWSQZhiTxA+Oj -0zB1autgRxgZHljqMyT6poH6KyhgwpsMvK/XOZXVTsPV1rXGj6zJ8Dcr2rY+ -ZhqUFpX0FA6QYcww1uSjzDSMq8cp7ocKyHuaoLLFYwrctO6H6nWVg2rdPjzj -+hSo323cXNlaDr1dzSliV6ZgseDEM4HGcvi78GPpgOUUFFGUNVrLy8FMzaZC -S2cKOARcDfsTyoGnT26P+7YpkHvJDCOfLgcPYvf69tUkNATzHHrQVQbIWOBr -KP8khDK03kU9L4XwmdYt7+vGQbwuzpBxvhgepK7RZup8BSHu4SKNiEJwsfdN -/9b/Gei2HLtXm/PgdBX7o9zxEYid0eNUqsuBkG94w/aVD6B5fWdMVGomDG1+ -8yDQYBBU92/J3WeZAp0Gr8zdrN/Dhhd3wpL5E6EdnEuTtN/BFXMNB67j0cT7 -SN9Gmsw7cOjjeP5JNBr6zql4qm55B8zFfRfalqNgdJpbZXy6B0ruCL8bxqJg -ibe0XTayBxK0969jE48CsYuz452d3ZB0ijPx6rpI8Gd5CJNOd4Frls9lxvQd -kN0dEHHDvBOaW44FBlBDQUN16LisVifcOYlzpXeEwimTQ6vz0p3wIPKvdE9J -KLhG0Hxu/u2AcyYsuxC3UKigmzj7Z3fAatiw98pSCMg9kzGMmn4NnCevun+T -Cgb5E2N8+R7twIjrKTKr9AdNK5VuR4t28JG/dyU7wB/OeCdH7z3RDlvcWEPb -dP3B/akBW6lgO1SNMkTyP/kBxvtyqfJlG6y16FHl4/aDQwP3hmClFTqVTBbN -XG6BguPxR5+iW0D/n8IvESsv2GOtnSLj1QITiep8dDkvEDyvdz/oUgv475s4 -N8XuBT+1je/sOtwCfIcU7l8uuwkNEkRZGG0G8QOqViH/PEFvyl1tRrYZ5l8H -JOlUeICVfc7o7/4msPriGlhj5QrGlnlDhpQmkBmene3d5AoaJoW9j4qawNfD -q0+3xQV2nyhr1Qhqglsa+w0MD7gAVbymLFyqCZSpeYG1/67DeGv2L8FFCjid -6bmgUXcVeFpWVRTVGoB3t4pViI8jFAoKGcttaADpWIHtv+UcQevKQVvpsXr4 -I9XYM013gABuq7tiofUwtFPCh8/GAZina9+vb60D24hupxen7KFn9Ob1acNa -6P7H4XDuhB1ck40N/ipaCwWL++No7HbAGZqb+Gm2BrIGBXfMt9oC2tP3su9e -DURTM3rP69sCdlWWg9L/EgqzVyq5ii9B4g/8UYplNWTgI350DkuQ1SdhiTLV -IDjZ8swr2QLepG9tiVt5AWI5+DmahAWwqevSw7NfwG86v/1tfXPwvJ13xG3y -OeALB/CMjAtgynepR+96FchkP37idM0UhKX7/y0T646aR1rJO09juKWimsB/ -GoNln7wg3Q9GMKT/RFSGqGvDtZECF9WNQOrdmCeF2EffmBPXNNpoCKIGW6kx -RysAk1OPDWrRBy7NqK49fqWQL/m0ZX+ANrReMqOb7SaMes3tfp2A8CAJzpjO -EuCQNrRU8jsBf+uaEGtbCQi/UVepDdKCxSO/njXUFYERadFLKkMTxg5cSz// -twDOhOR+DTiuCo8MlKuj8gtAbNj8dJ2HCphf5eyvNyoA0nzRzNECZRgozF0v -npUP7pCVs7DlKLzZ/SlkTj0PhO12ujruVIQozeJHu6m58JW3sDnP+TDo2Nyq -NU3IBVZsKP+eagVoeiSwVDf2BJreBPlOWxyCF1uNrkSG5IA8jzxjJeUgeCqJ -3K7bmwO9wkIRD21kwLakF33KzgbS2W1HnskegPOS3FVPNR+D2KVUjcCv+0Bz -u3+6ZngmkGhL7lYPJKD+olB/4fsMCBVZOCZ1bw8opTxbv2EPYdU7jbceiIPM -5pmQjy1pIE/awFdVJgZbuayueK5NgVDc2kXSRgSoTQlOhuYPIScjJ0S7Uxie -+79ylihPBlvZf4Lf0VY4Myd1fcg0CZp2u0WtNxGEnUXmN8hFDyD0g7S61zw/ -zNrFuUT9TQRb4QvibmmbIWZwwU01/z40eRpwaYptBGznyQkp1j1oKt57s7yR -F4wfVEwNpyYQ4yu8V9uLG+76+dHVaLGgqcD9b15mLYjPjs3MJcQAyY9qxSnH -DmCrPZejFA2adsk++gZrYFlv0xLH3btAuuXPnp/2h/Kw3ut79cEIIEVXUxWv -LFMU5EZ+Og/eBpKymNbuK98pPbnot0hQOISmtC1cTVukXBcq+NslEQakL7F3 -d/2ep2wS3LK6khYCpLC8Gal9MxT9P1/YLuOBQPI+7zVTR6WET5RwtR/1B1KQ -nqPrswlKfaf3eunIW0C6e7vLbscY5RumuTlhyAtIrdYcztkfKLJpvEKLkp5A -Sj56aoHRR+lZLTtSxnAFkvuXtNV/nZTj3VrIK/oqkJxN3kk1vqI8zxzWV9vn -QPjosXqRaorxwGj+ugRrIGka1CQ1P6UoeKyrSXt7Dki2Yw0LR5Mo8qLOKWf5 -NYFEUryaLXKDIljEtkHljSQikdadzBlQoai600VdfxogkmZ97ejr2xTl7Sf/ -SGlcRKSc3A6JX9mU/bDRyzDUDpGctUfrizFKNcv32u3xK4jk3rbtbEADRVt8 -0rZe6wYiNf1tCa9to+DFhaW/+twRCc9xvdbRQyE3fyp8GH4TkZK1/WVfDFB8 -PvHlHjrsg0i5f/NL341Q1L7pZHVP+iJS4XzA4MevFPYNAWlXkwMQ6edbtYfY -FOWNJJa0VicYkW7E/hFg4hT9bM/Xvf6hiHS7I+xM3Cyl7MCGtp39YShUUIyS -r79A8dTWaqq7fQeRLiHfF1M/KEO9o43rRiMQ6dWLbfqrvygq1rfqzRQjEUnd -jXLEYIVC8imrXpyKRqHHuXbeU2MDeza955rqsajJad1tXlkOaE8Yr0x4GIdI -j19bVClzQvxToXJp3XuIZHqM43Y6DyynXzyvdvo+Ik03JxfPrwfpr5Km9n/u -o6YnFVt+XdoE8TeazlaaPECaFQG8Udr8YBrx3ciY4yH6ahhlf2etMGRrB73b -BISPtb6seLkNGOxrz733S0E5XG5ueb7bISxc8MKF+VQk9upAIV1qF1SEHLaz -G8lAXyUSnl3P2AO/NOon9zzMRDmv3z98UiEB2qtaV6inHyHb3yxO1TeS8Cnw -3PXrbVnofumZzYlb9wFHY02d6sUcdKb7LdbFcxBKHv39k/kiB9n6Ra/yWsjC -6UBN9RX+J+hr2PmUEkwOMo51AHQ/QXynrOhrVA+BfN2HVu0TeSgnOP5R3H5F -sH75o+eUbCHSd7GvkK1VBbZUVT4sthD5ck68Kck8BkU+wWc30wsRq6rm4vsw -Nfh2hHOgP+8p8i1+fU/cXANinm/5eHFbMeqiehp92XYcqisVJy9zlCGx+mpF -YyMdsEr0lWi1K0NpaES+f0QH1ng0OEpCGcK3TR+Qua4LRvLaOM2vHHmpXrYw -S9SDyQqT2RvzFWhAY3jr3aWTsM6sNuDYLIaeR02sSmw6DcJRvE+6hSvR88um -Kurk07CvzrrdRrsSJctMZHntOwMnd7JtvpNZiZZPXWMGdZ2BGKpBYdfJZyju -rOkG9p3nYMOt0V7rwirUzG11+BXVFPjT/kmG2lSjRaDqnt5oCeJvzhryx1aj -u2a3fzrcsgSFv3nu+dXVqDXOetvxcUswsdWv79jwEo3mJykYvbSC5H2JZzY3 -vETa0pqqJTcugVCteECucC0iW1Q7K67awvYRnd7Wvno0eelPbvAHB/AsuTu0 -QmpA4/+yaM07HKHD//WoknwDmkg+L+7n4Ag+20/SixIakKG0vtCxJUfotTJi -izdsRAFC3xT5hZzg7pdziufbKKhhLb34h/tV8F2U6/IcbUK7JRZejfi7Qr7F -mdObvjWh+mtbHaTfucK7Zvf3pbyvUPOGlwn4HjeQSqocnlJ9he5+q+fAetyg -//DhabP0V8hLUnDT82R3kPVWWlU1a0bCze9p2C8PmPypJs/e24Jivg66GzG9 -4M79axaHaC1IcDv3u4ui3iCxP+2OzWoLet5m7p9m5A1XLJaG62VakWalpXdl -uTcwGorDvKJbEbPw0x59Tx9YDBPqn9ZqQ0aSwxa/OHyBtJ7l3fGiHS17cXyf -Ox0AO8Ty6uMzO5FhtmIWm1oYjH7cVyRT2Yk0dq2eEr8YBo+SKpLftnei9T5r -NMy8wkCUq86Fe7ET3SCXYr/LwkBkrndXhP4b1NRStqC4KxyEG1ZvB35/g350 -KAo4cd0G/osWRtdPd6FnfUvDYdQ7wHV/82d99nfoK0fvTb/PUWAztX8jy+09 -iokUG72pkAhJEu+WTWQGUUMaxctdPAX8boq0MUc+IDdud4MEk0xoKzyds9Qy -gp4l2opBZg7QV6La+QM+I/lgiaB0pzyoFR1aOa30FSUEFYgKXimEa130RvGU -ceT3r/ah5+Zi8LrdO7dpfgJN6Cqd0Cb2PdsWK0PwbxNIrkm0atvtUqDYJvG9 -+j2B7I5ut6DHlcI6DTMFT85JtPV2o8ytnFJ4tPzJe2DHJKocSvtn+LoUWlxo -f9OMJpEMyf9Av0AZ0d9VHvGSSSTZUp+yo6gMXrZ/yfxNJq7PCp7ZX1kGVkde -yfS/mETH+gNd5OrKoJD/zqk7ryZRRIveB0nifUq1m/sBdXgSmdmcM4X5Mris -tWVbKdcU6jg3FJR1pBwqZWT2KjpOIc/uiQtv6svhcV4eXnRtCp2J2LbfrqUc -YkS2l+xwn0JVsT+EF96Ug8M6noNcAVMotpZf+e/HchCaoimM3J9CrVk3Syk/ -yyEwM08jtGEKuW3J3DF3qAJ0ebabdQlMI3zLh7DWnApQCHuw9fi2aSRs33PQ -42kF7Frm/vhi5zSy09DlE6qogOXpZcvs/dNIMOOwpX59BZS+GrLzRNPI6fKq -yqnBCuDze+AifH0aaRROPRrmIsMIjTvCoXkaRUu15lRdIcN9hWzxUx3TSAcM -ZPtukEEnSLHpaM80OicWFjjlSQaM3+YPz8g0uv9VSZEZTIa76s89Khem0QWj -16QQYl97KOnSpVUxKnqwfTaiuIUM1M9Lf2hSVDR0tz1+ZycZHu2LTu+ToSJK -I2ddVA8ZOClVA/nKVORVb3xR7SMZRvF1hoZnqOhh1eXUXXNkiNKoOpoWQkXO -z9RqqTwYaETrD4ZFUJGx5rGN+hswWOr/7Hk9lopsRn4V5G3C4NLVdRUaqVRk -kl4WfVIQA8Vka4npCip6NGL68PQODL7QuTYrjFGRtv5bU01ZDJIVsyq2T1GR -7fAHvxPyGBiEKBitZVAReEzc11TA4LmgdeTwdypKv50Uuk8Jgxj0bCV4Aw01 -mUR9qFDHQOmhFeOtGg1RSPH4fUMMuGVeLKRr0dBVddbx/cYYjDZv+OWkT0O6 -9oY+9acwCGNRuDhMaShd1tSq+ywGXYa7JdWu09D8kQvJhRcwyJ7wk+HxoKGF -0v1qG8wx8PR7f3jYh4bSeEtSXSwwEH56W8srnIYuBS+f326NEes91aYsnfB6 -B0fpy0R70jWc/LNp6KuUrtgl+//O71Jd9QtoqDpJwynWAYMKa/2gKYyG3BLv -Rby/gsHvmpIM0Q4a6g5U9eW/jkH3afZcRjcNBa+1Xcd/A4McqmVxTT9xfW31 -Xx4XDHQEN9SYfqGh3PVzK7grBvfd3AbjftBQjc3KoKkn0R7OjlGLvzQ03Hzw -z86bRHuyxKb2seGII9/KaoLw6Ju+xdYNOGqPjKCYemNAtpP+/UAAR/suOLxg -98EgfDl8jd02HGlo8A6UEt4rpci3IoEjzUcuXrRbRHsb4ra+lcbRrDwH09+X -GD+T6Z3p8jgaEN52i8uPGK+wlINH1HDU232lipd4L9MRnldk18LRYR4Pi9uE -hcl6an16OArxfUT6RpgyumzgYoIjY3/mkaYADBJvnj13zBxH1u+G67YHYuDA -U2LObYMj14/e0u6ElZ6w2X1wwNHem/khjYS5lS2dC67hKOK49gv2IKJ/PVVu -N91x9LPqcLsW4QrH9beO++DoPMeZcn/CYX8dgjcF4mhGyduxlLBpUmPE5zAc -BYgE0wcI75UWii+NxJG+vrbif+exv5tck/3icbRVIkfzv/Pa7guvM/WScHR0 -1Jn7v/PcnLldeVvScRR91Sv6v/PemxG+JZOPcRR+L7X+v/NgXdG+ysp8HB0c -Lcj477xYuGp/bUgJjo4XeeyWITxzMrzJGMOR4NYug+2EOenuyy9f4Ki6xXqW -g7BYlI28eD2Obh+J2okT7Tm295RzXBOOiiIERloJm7Wr5fxow5HUZPv2TMLu -jgeGbd/iaOiB85drhGM5RPje9hLjN98opki4MG+d/pEhHEVejf30gxi/Jq2f -IdmfcPQkMpm3ivDI+PRL7nEcSVIzy5wJfw8dmL9JxZHLUfu6rYT5xFr2js3g -qO1Eqfx/8yUNlTb6CzjypR/mvUxY+1JO6rMfOHoj2qCzQsyvzUrCO9G/OFqD -rxlNJJx87AZa4KSjq59reZ4S8VIxYnHLcj0d2cXkZewl3Ol3kty2mY76B1S8 -nxDxtfpSaleGKB11qp79FUrEn/CFLRc4xOmIEa2VQSXi8/AP9nuue+mo+3OT -lw5hZ8XxVS0FOuKaV22b8yLiuf+dUvlROvJOzFZQIZzlSXHdqk5Hk2z2HYFE -PrzHMsdm9OiofnOP5bwHBmoHzSjJ1nTk8OtWcRiRX2Zd2j9WL9PRwQei48lE -/nlcPyx71ZmOEhtSdz4h8rOwmO+x+k06GjjTkJ5/jRgfqbdB1Cg6OnPwyNYL -RH5Lt9W+OJNAR4vXeTkUHIl8cCiarUsi+pfxvX8tUQ/8cyOs7z2mo5uSSbxp -dhhM7dRUV35OR2+ds2yuWBH9b5T1zq2lI8raVgaXJQbbrHeUrwc6skxfo5RL -1KdTmb9FxzvpyHj40J8mMwxqtr74G/2FjlJ36bQVnsEgjk+64RMPA2neOhi4 -6QQGbreVeuv4GIgzfkFM4DgG535oTaULMdBVDjnmBkTcf9Ry/UVxBrrx3ukL -rkr072m81YAKA1UUtacfJurxK42Fv13ODHRYu8Nu6y4M8itX+MpcGYiZJ9oS -I4pBlASPZKwXAyUWZM9/20a0j2eP8clQBrr5TSGpnFgPRgdNs9pSievNz9mT -uTH4caNGndLOQMredIWvk2T4+KX1bFYXA1F0YhYzPpOh4VyfY+B7Blqcd7+n -9YEMt5UZ8apjDBRi7alw8Q0Z+DhEx6q/M5C6z/WhTDIZDmSGBJMlZtCNHwoX -/H3IYNupCznhM0hKcrXp+PcKiNWms4tGzaBvTlw9QrMVUA2x+qnxM6j32eDU -x6kKWF/d2xefNoOy1XvXSQ9UQE2uxZR/xQx6mX1s20IlsX4HunKfH5lB+QKV -3ZuvVUCTbIoJtwITZY9HYxe7ymGmWDntzlEmWlIY+f7pFbG/kPw0+k+NiTK6 -ermNXpbDje1iV37oMZHR9Xfei0/KQXhdie+kNRPt7QrRveBTDu7jjVmN0Uw0 -m/iby3d7OYglT9M8xplIbWhn8juzMnC2NEzpozIR/1RikYhBGVSKV2ofYjJR -ptWOLefUy0CrMvAJ6wcTXfrN0xuxpwzsewQs3dbPovVVAP/mSqFwnVbPjaOz -iNP0m+CR8FKQCXr83Cl+FknJ/cTs0kvAS5vD/vWDWWTz8886yZgSaOS9tnlv -2iySrzYM7/cvgVMZR1ypubNo78+wygXLEnB72bXXsWYWhYdPzx3aUQLPFn5n -XJ6cRbklP7VrM4tB5cqFMGuVOcQ2eJj9cVQRGKz5xKuA5pAt51LeAe8isHp0 -KYVTZw6VVmxUz7YrguD3jqXkM3Po46bdksqqRdCs4TW4xnkOUfSzHOUYT8Fo -a+L+wpQ5ZO/O67xP5ynYdLzpm1uaQyLUUhKDWgDu9qesWn7NoXt6ClU7egsg -fLWPmvpvDllf39p0pLYA8hU//tHknUdjXOTn/LEFgOfQJJPE59HLGZ+M4IMF -xHrP4X/07Dxq9u4c5XfJhwhpDfHQinkk66Txo3coF8a6L3xmVc2j/VrUaFVK -Lih5eKTZ1c4jV4tvmTEFuYC/zN94onUe1Wcvbxq7mQtGOrx/1o7MI4tbhuvO -bsoFHnkmvY2NhR60CtVbH38CfQa1zYayLPRYZPuX2D3ZECyqK8ZxiIWE/hiE -DMw8Bum590ENh1loQHD0Mq3qMYQnMpUPqrDQ6xbbR9dPPAbF4V3kjdos5HtZ -z3PGJgvSHO9m9pmz0OW4BtcXCZlgE2ridSGChdTYRxOGm1PhfUd+j20UCylL -notfCkwF7c0/9l2LZSGajqJEh1IqSOemfQ5MZKHG29E5WcUp8K3ls25uFgvJ -c7/x/RH7EKK4nLfNvmChjLt/PmifSAIsIZASTmWhHZ6D8is/4kD8Q7dwHJ2F -esUufhQ3j4OHu3bdfMhkoYs53ULP62LBH3u1t2iRhawEl+2EA2NA+z1nYvcq -C8mNZdeP/4yE4S2J9sJbF1DP3Xp57f5wMLg00bhbZAFFcGgnc8mEQ2PhYeED -OxbQyjc7hsKdMMg9OtSlvmcBFRyuvN+kEAo3zLcr2cstIDbtnEL7zQEw9uTG -/RsKC4jUaV1uXesHZxmNDO8jC8hI4NJxCVtfUAqwzY46toA6tGjhW0q8oail -8leixgI6R/7rioy9YPt6dtPM4wsoVWnDFcV5T0gwNa3I115AQ133Nn675wH/ -970Y+v/vxf4HiX1sIQ== +1:eJwV1nk0Vd8XAHDKLKVSvkkkRSppkGTapYSUUDSSDFGEDEWDDC8KCZlC5kJk +Jg3elgxlqoRMieddvPue6ZFo0O/+/rrrs+5aZ519ztmDnI2rmf0CHh4eC14e +nv9/7aMC3m7pPKVzZFbnP/3CL292NvmdWFa2G5SZi0N0hiPoWw0Vs/pK9eGt +cXLI9FAhXW6l/tKEelM4uDSfU77wHT03+FdLTekJGGZkBrUMfaKrzT0PG0+z +hNu9Rz/HOHbTrcu2bbhffx6KbdxOxC8cpG9wEaGto9uB0QVzpaMDLDqpwGS8 +KHWAX+FF7i+GJugF3yv3Hcm9BKZJ/H6/bX/QPePjUhlpl8H4SuRlD8df9KTs +in+ah91A4g6XITP9j/6PtqEgqP4KWHzSRN+FC9HmfJTVZ10P0M+IuBRsIoA1 +2v/EpOmeICtmukdpQBjvzXQ6F5Veg561iamJQ+LIadWT/qPiA7HS9tdMJZaj +cUFx48Hc66CSfOz4F9sVKOEYtqk37Ras8vK6oeEohVcPzHUprLkNgZO6l2XX +rEFn8ZIa9cN+0Gx+sfTjlCx+5Mh6Btb7A88f5TcGC+WR50xH48Y7AbBWcpme +adp63PEhTL5FNxCao5PFwEQBo5/Mtf5Hp8Ez+e/Eh34lPGX1ZXt+aTDI8YbE +HB7ahiFN9+4dc78LVhOv/mPObsc3GnsHZlXuQe2GptLR5TtRRvJ5xP7cEJgP +4GdZ2O5C5seg8c60+zB94cpvXwcNXKGjre97Lhz01cwXPqnUxIN5U8nyax7A +iZv917SktfH4gW2Kuw9HQOpq1EMu4Iu1jzv86yNByaOr/e6C/fjphHfAcYUo +kEyZV7L+uB9Hwo9tVbwTBYoTpY2uqQdQ6q9wUJPuQxg4z6rcffQg3uy6ukuS +Hg3uszkvHL8b4r4ok+i80jhQvx7hspYwQZGUFimf1fFwbtQq+Ku3KbbmHk7T +C4gHkyu93UJLzNCm1iC/7+gjeMP7i6db9xjSZve+F2cnwO9yvhHV9+ZYZ7X9 +j6dcMtT/9+biW8MzGO5UELDvbjIcTPousJL/LFp4KwsvHk+GJ4HRC5nVZ3E4 +Umll1psUsBlo/8bWs0IaQzyek5sKO4Oe5bWVWuPTFcLFMvrpwGdy2XVouR2K +SBv8oF1Ph8Ab/cwTd+zQZV2wOvt5OsgeSgngn7VDNRV+fCGRAWE5UUtXDNhj +vQFvkwkjA7SF06/wVTvgyI05IuDWE2jZ4hS8Gp1wM4O1argkG8yrn4hOmLmj +sfFZW2IwGyJuMB4aJbij26uWvMHlOTCzJsViG8Mdy6NKoN8jB3oYi6/FeHjg +3v237Lt2PgM5387I5iRPtMgUL2osyYWAqnrfCaFr6Hdht0FhST64MKaedOnf +xPTWnMj8wXzYVV3YYpp6E2t1pHvylheAFCfsutncTRSR5HXJ8SiAnl8rdEfz +bmGDLWH4eVUhSLqf7gmWuo3mEgWuDV2F4Kxyp/yJoD9e8tJ9/eZUMQhw73Zc +VqFhSOm41f4rxdD4r3DROlsa5kwlLWi4Wwxr2re6S8bRcOTKT8OvL4ohognf +1P6j4QWXvM7JFSWw7YgmqdJ2B887rJxRaC2B+UQDh933gvHkKXJb5KEyyDSJ +//lTPhS94+PaJG3K4Lu8zLuGc6EY9/WAd7JPGfhUJe7rSwzFDvMUzM0ug5gH +ZQfrJcLwuNlx4zqBcti+sfdXqvB9NDGiO/2uLoeNmXL6rv/CUV876qm9ZgWo +VPpszrsfia3bR6rI4xWgrOVm61sciVYKOj2uLhWgZp5+4urXSPRcQi65nlYB +hbk3HL/KRWH6wD6fcMGXkHbrUbtlRRT+vTNp9OLLS+gaN5H14TzEkhaTSSHn +1+AnRfvU6haLstZLtPKS6KDP6Cs1YyViiODtU7dK6ZAffVHJTiIJp/PHrho3 +0YE+1vgqBpKw4W9z0cRvOmSEXlY8FZuEnolhirvOIFTWj7VY6z1GOzZN+Pui +KrBmtdPccpLxpcKCHw6NVZCeGKRRWZOKto//NPoYVEOoLU+qZlsG7lIXOuoc +UAveKR96s4xysXE6utD4+Xv4bVrLaugqQkOxk15FaY3g5RBvrqtZjge+bF8y +2N4CTW0Bh129XuPDX2uDGlifoMl4QtryfBVeSGJ5rD7fCjTXNm6P0jucjdZu +Ojb7Bda14dnIc3Xo+3qLxWHPdpCR/7TsWfAHrFbPOrRF/CtU5poL+K9uRtZB +m620zE447zc/mWn9CRcGVuxPWtMNMTJzDd1rW7F3RcK7xPIekBDdk9+wtA1z +OlZ6nVH9BsWO/mbFI+24a0wmckFrHyyNXp/Nx/6KZo07W8RV++Hiw39D25ld +GFj+xNlvsh9uzJVmCFT04PIjllWD9AEw7OmoN8v9ho+vM7Zk+TJga5WwgrD7 +d4yfEIx8qjEIznnDNg8j+nFqqcezRwJMGNbtXzPmOoD6Dbm9nBomVK/ev+qQ +KgN/K2+q2fmQgOQpC9+Tcwxc222QUW45BDwX3fesyx5EWLMr8ZHUMPzMl2me +283EWSbrR9OaYdj03vyQtgYTi/OSTXjkhmF+XYLWbS0mKmgJCTgoDkPnAdVb +83uZuPhMj5uq6jC0E6KnSEMm9sX7H/x4ZBg4gd+ar55hoq9EyySf/zB1Xps0 +LW8xsVLUwcBteBgmJ/j1VN8wsVX4tvxlchiyMgUsxyuZOCIYN39xdBgcfDZO +ZiMTJfjqS22nhkGsVi1U8h0Tnf8oyJ34NwyqGw97Mj4wcfXo0Jy25AhcNL13 +d+tXJvq0XMgV1R+BA4PxCokTTAxv8g0SOjQC7tvh9nouEzMbYs/zHxmB17gK +8qaY+KmuTvKf2Qgo5b2fLJ9h4kZUoHGtRuBbZbT4yz9M/FowdLbr6ggQrd0p +rkIE7oq8sDjr6Qg0sRKt02QIqn9adkXnjIAc3+3McVkCMx8cywzIG4Fl3WuN +tOQIlAjfq2FVPAKHTFfTP8kTyA2RurCCPgKqt/cpDW0ksJDWUhnYPgJrJ2uD +qncQuMlb7bI1HwusSLcxLT0CbX5uUTcWZEHIvc0mFgcJfHRVfqGWCAtaZ8x5 +XPQJFPISfyQpzoJn3k6G8YYEDl8ha1pWs6Dv+XPnziPUfpySpbV3sqB914yD +gAWBMucEmlbZsMDi9HyhhD2BC398tte3Z8H7rHv1whcIHAl5/M/TkQVbWvbX +/6FcXK6685MLC2Jlpn17HQnUX2ybEHSDBfJeohUBzgS6VaLjVDQLnPx+xF70 +IND8WOgCuXgW9C/90KvlSaAGyyLJOJEFus9vzYt5Eci3YuxjThoLdAR3tuZc +peJxlt5tnc+CpgaHjHofAqtX+/A317OgTvrK9sTbBGYVHUj51cAC9fixT0Z+ +BIbpi+/Z2MKCBcGEzi/KFh5ZzoFtLOAeYwSYBBDIbmj/smeABTOytIcMGoGf +rNMuOzBZsOScxgP/OwSWzzgLxgyzwCslz0wmiEC/dXyaE6PU+QXYKZsGU/d1 +fUf6018ssP1wTSrpHoFzS+Y12/6y4FalnZZSCIF9Tz608/KSMPXFULaUcs5n +a2FLQRJCI+LXvwslUEfpgdtyCRJk64NX1N0n0KGTreOnTMLJyeOtVpEEZmdK +nbq2jYTKTeq5VZRJN0MPl50kzP55E7g2inpPwllZZ/eQ8M6G2NZN2U3DRnyP +Hgk9pbqOu6IJLBKI3LTNgISflTWbgilzW/GAohEJ0uanhzsoezqt8VlhSkL8 +i59GbjEEeid1DkyeJcG840ZBSCyBLx0F/4ycI+Gm9WqVJsq/VNVW9tuQMByt +mSEaR+DN5oeHWhxJuC+18wKNcuWjartaJxKsGzJLKinP20/6vnEhIWOgkTtN +2W/euOSZJwl1W132W8YT+LbhVnPaNRLObQw8Fk55QVzecPx1EobE/c0qKdNU +RKSD/aj1zl+SWvGIwNrf6mq+gSSYcMcGtCkLvHcw8Qqi4qkJj7GjfNe6lmYb +RkJClik9l/KHLdPJpx+QEKMvtqOJssjcupemUSSI6K14QFI2qjX9YhBDQmt5 +WZtAAvVeIv1GIZ4Et1SNBXKUmy0LBHcnUutzx1fuobx4U5/c1mQSKu7KLTtK ++ejMIq0NaSS0K6+esqEcUa1pIZ1JAsZtfOlJ+XP4JbflWSRcuhhjS6O87Myj +EJFnJATueD4ZSfmY4vtM3uckOLm+tnlMOXpqhj5bQMKOe6LlTym344au8WIS +nraPkM8prww7PjVURsLeuGSeEsonTgaK9VWQoPn32kwZ5fj1xYrtr0mgyVc1 +llPumujf10Sn9rOs+vb//0tVLjn77i0Jh6veLy2mfOaeztVXNSQcWizrn0c5 +yfxyRFE9CcGNS5ozKX+TS3qW3UBCYgkxnUBZZqyhJqWZhCYX9s9wyudezfXF +fiJhY5RTux/l1KCNc/e/kHAjpTDMjfKA2YnldzpIMODnX2NFeZ1skPLNLhK6 +ZEruGFK2ZZfqe/SSsEeVv24H5cwXg+cvfSdB5bret1WUicBlN88zqP0tozfM +U/elYLIv9iRBQrfIy/sDlHNGkhsOsklwnrGMTKUc35hecmuMBM7XvjIfykH5 +T5NKJ0nYqWVuZELZzjPfZd0sCZ7H/Gt/UO/L7ETxiVO/STBWvJBdQ3mfRvne +iHkSsjF5NoKyDA992TwfGz6ccfwmR3nR4NvfqkJs0MxTdBui3vPv2lqmkygb +7p2Oc86m3BnaXN61lA03Dw4mr6ccJfntdJkMG2LeZ338S+WX36/+/Rw5Nhza +ah/7nLLrN+YW+Q1soG8JxtOUD2dw5iM2s+GalOmu51R+Cqj8SXdWZ4Pp33Mx +Ox4SOL2UJyxDkw15Ck/Nm6l8H5xe6NWtwwYImnezp1z1SlTfQI8NJVUaZfep +enH94Gq2vBkbtAyUT9MfEOioJNt22pwNA7xmXfspn1gkXxl5kg1x0yp5deEE +qrZuevDPig2nl140rKHq0Zilxs4eJzZs28NvkELVq969OtLLXNnAoSkZLaHc +KK/Lb+jOhh7PrISbVH3LZhl+Lfdmw92AeamjVD208Tp1I+oOG4bP7A7+QtVP +k5OWdh/ussH9rv4XZcqgef4ITxgbMlSM7O5Q9Vaa96KsSxQbWohrpluoetwR +5v3OMIUNv2cv65zyp/I1M06U9yUb+r/lR229QWBs5bwn7xs2BP4SenXpOoH9 +HfZ9vMiGqWtc90yqP3gKqxYtqGXDpviLseLeBCa7fLLg+8wGaaXk8Eaq33DV +hdMFWdR5brv/qPEygVpmbqJCHCqesLu+/VS/Cnb66ik0TsV7nDHCdaL2l/xE +X/gHZdX0Q+KXCDy4UHdUhJcDR3YNbVGm+t+j5uvqi1dx4PCRjqoxSwKZQwNp +i6U5kNPbktJzlsCtPIaiS2Q5kL904GftGap/7ZDsW7KBAyHBOuIPTxHIiSsJ +XLqdAxsXGzctNidwrw2nRcKQA45aC2pDjah+PWNpv9qHAw5KTcaxagQej8yg +L7rJAS26WffuXdT9b2ZJzvtyIFRfr79jJ5UP1p4N/TQOiAT6nhTbTqBBQ4jK +0wgOfH5dQJzZTOCzxy/mtmVzYD3P/hZfah5xObA0/OBXDhyt3pTfwU9gd5/F +8O5uDhw6VrVKgY+K1ydpr9I3DnSx5EbcFxAom684JTrIgWFvk2d8/6j5SFLn +5OcxDmx3CykQmmXidvaldWcFRmGwtWhlFIuJ05E15Vd2USXWRUnmSQM1D+7/ +3peuPgoBE2PeHu+peWp6TqBNcxQUPstn6tQx8YyFygk13VG448/v2PiWidVS +CT9/GY9Crtj7EHoFEx9kuKrTHEdh6PIPO5GnTNxUJvUqNnEUig4cz9vuy8QD +F3Yx6pNHwf7lzd3xN5hoJWkiMpc2CsBQ9fztzcRInzunz2SPwmUR9/kXHtQ8 +qz3xS7ZsFBrDSA3hi0ysravVzGkZhdOPe31EjzHRutOt8jXvGKjzr9e8u56J +HThmX843BmqtV6vK5ZholOW8uEhwDESXHjNkyDBR7arjuadiYyA842WzbRUT +xSSseSNXjcGl6YVJ2WJMfHX0qN6F7WPQuem3t9DMIC6vV24WPz8Gwy/uavnV +DGJdGdlrXzUGWembq9edHERWifbx1HdjwP8hpVnn+CAuKo5o7K4bA8u0BKkT +JoNolq/26mjzGPBZ/PW8aTCI358GxO3pHoMpdevFCeqDOBsnZSY2PQb1yxNJ +2f8GUen6ofpSxXGoPbfhj3EbA8N0nhUtfDAOejmbv/zby8DPlT3/qUSNg47r +vZcaWgxcqS3mdzpmHHivnnl3ZTcDUzXdjIsSx0FL9pR2mzIDS9TV2FbZ47Am +IDX/khQDu3dUr3/1dhysTQ4/6eUO4EbF7ji36XFwpgV1NKcOIEOQH8e2TIDz +rR1P8yb68ffrxKLQ0AmwfXogw+NnH77Ta/ddx52ACvco/Si9HhRK9DrJMp0E +sVODoWcPfcUgiSHlloJJ6NM6GZbV24qltnPf8lZwIWCtme/b/gY85+uR8NqT +Cy2GRoufrUTkznDE7K5yoX+8IuBvLh1prhf8F3lzoejgbOjafXTMtj7laHmD +C3s/iBi0X6rECV1Q++fPBf3b2d2zr1+jn6Boq+4DLpwN9/Vcb16BaRHpwg05 +XNi/LmzZjE0RqgpL33LP5YJnSvtrVW4h1vnHTEg954LdueQ0Xf9CJN3vfnUq +5MKMq6RJvHYB7jB3eSL2ggs7TsZXbCnIxepVGvtMa7ggsHLtkxV+mXg8qqR0 +rpYLVVWni2/FZ+CQiPLG9Hou+Bw+0EkrTEeRP7JLphq4kOxWX+f2PRXN+vi/ +RX/mQlKsmiLtSgIyLW6baH+hvMfZzygpHq9+nH1HtHGhVeEsy6wuFhOq2M/U +OrlQ3LjzsPx/D3HLHnuZ711c6D76SXQUIpFe1BcZ3MOFmy4LPk80h6PJppP8 +275xQej73spQqVAcTP/s3dlHnee7C2O59sH4P7mAgdE= "]]}, - Annotation[#, "Charting`Private`Tag$31625#1"]& ]}, {}}, + Annotation[#, "Charting`Private`Tag$121372#1"]& ]}, {}}, AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], Axes->{True, True}, AxesLabel->{None, None}, @@ -1210,7 +1941,8 @@ OxbQyjc7hsKdMMg9OtSlvmcBFRyuvN+kEAo3zLcr2cstIDbtnEL7zQEw9uTG GridLines->{None, None}, GridLinesStyle->Directive[ GrayLevel[0.5, 0.4]], - ImagePadding->{{0.375, 0.375}, {0.375, 0.3749999999999858}}, + ImagePadding->{{13.512215285129397`, 5.145423971340335}, { + 4.245699215955369, 0.3750000000000284}}, Method->{ "DefaultBoundaryStyle" -> Automatic, "DefaultGraphicsInteraction" -> { @@ -1230,149 +1962,4193 @@ OxbQyjc7hsKdMMg9OtSlvmcBFRyuvN+kEAo3zLcr2cstIDbtnEL7zQEw9uTG Part[#, 1]], (Identity[#]& )[ Part[#, 2]]}& )}}, - PlotRange->{{-1.08, 1.08}, {-0.0644259309834245, 0.}}, + PlotRange->{{0, 1.1794056865572926`}, {-0.6751359920027515, 0.}}, PlotRangeClipping->True, PlotRangePadding->{{ Scaled[0.02], Scaled[0.02]}, { Scaled[0.05], Scaled[0.05]}}, - Ticks->{Automatic, Automatic}], {431.59704100747206, -87.675}, - ImageScaled[{0.5, 0.5}], {269.74815062967, 167}]}, {}}, + Ticks->{Automatic, Automatic}], {546.3759273046307, -62.28491567201606}, + ImageScaled[{0.5, 0.5}], {203.14140143277436, 118.63793461336392}]}, {}}, ImageSize->{ - UpTo[540], + UpTo[600], UpTo[167]}, - PlotRange->{{0, 575.462721343296}, {-175.35, 0}}, + PlotRange->{{0, 655.5695295271476}, {-124.56983134403212`, 0}}, PlotRangePadding->{6, 5}]], "Output", CellChangeTimes->{ - 3.8175673122534857`*^9, {3.8175674402281427`*^9, 3.817567489380693*^9}, - 3.817567520221552*^9, 3.817567705671341*^9, 3.817567793079455*^9, - 3.817567857173483*^9, 3.817569690002346*^9, {3.817581574147563*^9, - 3.81758158515839*^9}, 3.817582270590219*^9, {3.817582390618846*^9, - 3.817582400806323*^9}, 3.817582450685178*^9, 3.817582634245347*^9, - 3.817582776393298*^9, {3.817582962930173*^9, 3.817582972201144*^9}, { - 3.8175830310073977`*^9, 3.81758319355462*^9}, 3.817584882023147*^9, - 3.81758498666595*^9, 3.817585045390573*^9, 3.817585149785573*^9, - 3.817585439738227*^9, 3.817585525878573*^9, 3.817585585204454*^9, { - 3.8176137655148363`*^9, 3.817613774145886*^9}, 3.8176139295702887`*^9, - 3.8176141329700117`*^9, {3.817616943087964*^9, 3.817616969451852*^9}, - 3.8176192172908077`*^9, 3.81761927371955*^9, 3.817619365966529*^9, - 3.817619480892799*^9, {3.817619523373876*^9, 3.817619547918648*^9}, { - 3.817627771060638*^9, 3.817627777110018*^9}, {3.817627809877636*^9, - 3.8176278273754797`*^9}, 3.817629121373373*^9, 3.817629171350617*^9, - 3.81762920273244*^9, {3.817629594110446*^9, 3.8176296424131317`*^9}, { - 3.817637486886181*^9, 3.817637516006345*^9}, {3.817640106937131*^9, - 3.817640125681921*^9}, 3.817640193215719*^9, {3.817666455601337*^9, - 3.817666477542403*^9}, 3.81766655795111*^9, {3.817667657897683*^9, - 3.8176676742443247`*^9}, 3.8177180782637*^9, 3.818229611880493*^9, - 3.819021245409853*^9, 3.825758699053536*^9, 3.825760635391964*^9, - 3.8257606752038517`*^9, 3.825760713736841*^9, 3.8257607612020693`*^9, - 3.825761109153555*^9, 3.8257632730040083`*^9, 3.82576389523289*^9, { - 3.825764079378168*^9, 3.825764085400545*^9}}, + 3.826008397009801*^9, 3.826008507422884*^9, 3.826008595888225*^9, + 3.826009193863812*^9, 3.826012726730015*^9, 3.826013341824439*^9, + 3.826013509209543*^9, 3.826014256774837*^9, {3.826014293642846*^9, + 3.826014319113866*^9}, {3.826014390955982*^9, 3.826014402437664*^9}, { + 3.8261031165631037`*^9, 3.82610313275886*^9}, {3.8261880393403797`*^9, + 3.826188045206806*^9}, 3.826190114445044*^9, {3.826195030771339*^9, + 3.82619503897141*^9}, 3.8262731332325363`*^9, 3.826273619324493*^9, + 3.826689181562207*^9, 3.826689337206991*^9, {3.826691663265115*^9, + 3.8266916671755877`*^9}, 3.826691698857828*^9, 3.826692545244622*^9, + 3.826702270169533*^9, 3.82670247769197*^9, 3.826702928578911*^9, { + 3.826704944992766*^9, 3.8267049529148703`*^9}, 3.826705010823153*^9, + 3.827311046379264*^9, 3.827313657677243*^9, 3.827314385136931*^9, { + 3.827403802712145*^9, 3.827403826347602*^9}, 3.827406448571678*^9}, CellLabel-> - "Out[468]=",ExpressionUUID->"add111e7-71cc-467e-9820-599f10d14528"] + "Out[539]=",ExpressionUUID->"780abf21-a6d3-46d2-b547-fd3404f56c38"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ - RowBox[{"ParametricPlot", "[", - RowBox[{ - RowBox[{"Evaluate", "[", - RowBox[{ + RowBox[{"GraphicsRow", "[", + RowBox[{"{", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"ListLogPlot", "[", RowBox[{ - RowBox[{ - RowBox[{"(", - RowBox[{"R", "\[Function]", - RowBox[{"{", - RowBox[{ - RowBox[{"R", " ", - RowBox[{"t", "[", "\[Theta]", "]"}]}], ",", + RowBox[{"Evaluate", "[", + RowBox[{ + RowBox[{ + RowBox[{"Abs", "@", + RowBox[{"Transpose", "[", RowBox[{ - SuperscriptBox["R", - RowBox[{"\[CapitalDelta]", "[", "2", "]"}]], - RowBox[{"h2", "[", "\[Theta]", "]"}]}]}], "}"}]}], ")"}], "/@", - RowBox[{"{", - RowBox[{"0.25", ",", "0.375", ",", "0.5", ",", "0.75", ",", "1"}], - "}"}]}], "/.", "sol2"}], "/.", - RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], "]"}], ",", - RowBox[{"{", - RowBox[{"\[Theta]", ",", - RowBox[{"-", "\[Theta]c1"}], ",", "\[Theta]c1"}], "}"}]}], - "]"}]], "Input", - CellChangeTimes->{{3.817632402392982*^9, 3.817632515056671*^9}, { - 3.817632566288678*^9, 3.817632585257243*^9}, {3.8176665668940477`*^9, - 3.817666597156199*^9}}, - CellLabel->"In[13]:=",ExpressionUUID->"802f97e2-70b5-4c0e-b977-f8a2e505bb60"], + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"eqLowRHS", "[", "F2", "]"}], "[", "#", "]"}], ",", + RowBox[{ + RowBox[{"eqLowLHS", "[", "h2", "]"}], "[", "#", "]"}]}], + "}"}], "&"}], "/@", + RowBox[{"Range", "[", "8", "]"}]}], "]"}]}], "/.", + RowBox[{"rules", "[", "h2", "]"}]}], "/.", "sol2"}], "]"}], ",", + RowBox[{"PlotRange", "\[Rule]", "All"}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"ListLogPlot", "[", + RowBox[{ + RowBox[{"Chop", "@", + RowBox[{"Evaluate", "[", + RowBox[{ + RowBox[{ + RowBox[{"Transpose", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"eqHighRHS", "[", "F2", "]"}], "[", "#", "]"}], ",", + + RowBox[{ + RowBox[{"eqHighLHS", "[", "h2", "]"}], "[", "#", "]"}]}], + "}"}]}], "&"}], "/@", + RowBox[{"Range", "[", "11", "]"}]}], "]"}], "/.", + RowBox[{"rules", "[", "h2", "]"}]}], "/.", "sol2"}], "]"}]}], ",", + RowBox[{"PlotRange", "\[Rule]", "All"}]}], "]"}]}], + "\[IndentingNewLine]", "}"}], "]"}]], "Input", + CellChangeTimes->{{3.82601388777162*^9, 3.8260140151252937`*^9}, { + 3.8261924018677597`*^9, 3.8261924217246113`*^9}, {3.826192496461348*^9, + 3.826192509781884*^9}, {3.826192556982724*^9, 3.8261925663826227`*^9}, { + 3.8261932845399723`*^9, 3.8261932866596107`*^9}, {3.826195093556902*^9, + 3.826195097380226*^9}, {3.8261955211238337`*^9, 3.8261955266599216`*^9}, { + 3.826195708079317*^9, 3.8261957083369913`*^9}, {3.826690596288333*^9, + 3.826690615248395*^9}, {3.826690747299868*^9, 3.826690747651079*^9}, { + 3.826691013344714*^9, 3.8266910224322*^9}, {3.826691299845516*^9, + 3.826691309501219*^9}, {3.826691409623765*^9, 3.826691410799272*^9}, { + 3.8266914693932333`*^9, 3.826691487864767*^9}, {3.8266931234542217`*^9, + 3.826693212327691*^9}, {3.826693245936953*^9, 3.826693246064405*^9}, { + 3.8267050447279997`*^9, 3.826705048935749*^9}, {3.827311119384053*^9, + 3.827311171480891*^9}, {3.8273126666997213`*^9, 3.827312668475532*^9}, { + 3.8273127804216433`*^9, 3.827312815485839*^9}, {3.827312978505485*^9, + 3.82731298252908*^9}, {3.827403486965724*^9, 3.827403500013921*^9}, { + 3.827404825327669*^9, 3.827404845878521*^9}, {3.827404940416987*^9, + 3.82740494304041*^9}, {3.8274051423647337`*^9, 3.8274051425959997`*^9}, + 3.827405301703141*^9, {3.827405444321988*^9, 3.8274054450814238`*^9}, { + 3.827406467116021*^9, 3.827406522781513*^9}}, + CellLabel-> + "In[542]:=",ExpressionUUID->"82d96d28-401c-43fa-8337-b55bfd500552"], Cell[BoxData[ - GraphicsBox[{{{}, {}, - TagBox[ - {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[ - 1.], FaceForm[Opacity[0.3]], LineBox[CompressedData[" -1:eJxd2nc8lt//B3BEZvaqfEoJRbYi61BGRoiyQrJnREUkZNz3dUelYVVICElW -Nu972OtuICTSQCpkJ+N3ff/9/cPj+XCd6zrXOef9Oud6POxzDbTyYGJgYCDj -P/73+6DjHerSwQaklT0ZYNtk0cBLXw/dztWA9PxN8lV+bYPispma3bP1qDFC -+sJ/UwLwueX8J+vX9UgG+aj9GZOAyzKhpWt69Yh8rdY7g64CWt/Co/Y71qEt -1b8L8yUnwH/XAHn4fg2SZNyybQywBubkj29+875Gt9ZpBQ0/XaG9b+FUqvsL -dHcyqeHH/WCYY7il5xr6GJVZbxdj5giHaAsS6re7iDKXA7kzlaKBt1clLbXy -IRQFtogO7I4Fl2ft4cZ8KWAfev9nmWQs8Bbf2fYjIAU4hBZMEhRigWhbyfpH -KhUcsLfloidi4a6w3fCBtDT4V8aKvvnEQtAR9sLdoY9gSMyBQ6QqFk7+Y1vO -uZ8N825XEv6cjAM2mnOc4cF8+FHPsPXCLh7SypS2MdvlQwblPMHpQjysXrSt -ryLkQ1z97L3tvvGgbvPow7+JfGA08FFHEfHwYICZzJz3HNi1TUdNnsTD50xn -S769hRD6N/FZ91g8FJ+SCxTiLIY1rbH0m84JkCbsIBp+rBiyORXHpTwTwLFk -aO29VzEwpTa/owYkwBmTt35ezcUg5VZbO349AQ6r5mxwRb6Et+YztfUZCeBN -7/xs9asEtD+MPRnvSwCOe4/euY+XAus/5tGN4wTobVR4GrNSCh3+GTsjjAkQ -7m2kk76jDHg9ZkLmLAhwXYPxW82xMliTpWE0RwKcfJv5qTa5DE4W0x05rxJg -sCMGo+qWQ56UYfX+5wRgmJygzWRUQLpGIPu1bUS4ODvt6lFaAVYOdtg6GxFa -rwa/GWipAFEXC8swbiLsYeISKZqrgM+zt2rsdhIhjdPHit+wEuIO2wo3yhMh -7kdnzI/ZSjh/Sv+QkB0R3N/K0cpRFVy7W/aWM48I25uMdf6zroKcopNEs0Ii -HL73WDXWswp4ju15kfCSCGx/Ju7pJVVBgMHwscnXRGDAuIWJw1Ugk7uRbt9K -hMV9hUe1LlfDXkZJe+YJIsyvcI7r5tZAX+Vy7DVxDHT7mWm7qmtgZOXc+A8J -DAQzVMXnOmog5Zxmr7U0BibD6mZJszXAe/2rg6A8Bquqfb7JGrVwkcvw/ElN -DBysbahkei1cpb3kjTyDgbwqcbh+uQ5kroyz7ruJty9m+nCHox4iKo6c2ozD -oHXRLNZ5Tz2YyO+Q7SNg8G7Z8udPg3qY3S1b5ZOEgSEI/219UA+HYiNVtNIw -yLmQznlDqQGC6GnC0cUY3B3jZdnQb4AHHD0PJ0swGJGzK7lq1wA1xYYtRmUY -JGra8DpENUAIYtOcf42B/m5e/vHuBmD51v1itgnv369wrjnPRhjfPb6QRMdg -LnCWaVd4I/y8tSkb8xYDjmaVQp2kRthuk3A44D0Gzp9kWcIqGiEy9WeiwgcM -HPuG1oq2GuHkZfKS0ygGTB+7A4v4myCmZPyRyGe8ffmdB7mSTRBxIVe4cxyD -w2/jfhNNm6BwUfHuzu8YdL8//IkvtQn+Mwtscv2J388p881EYROM7stR/foL -H6/qsZCqhiYQa2255TiDgc7I2w6DL02ga8b99dgfDKKnQyoOyAEE8DFeyFrG -52PZTZKOABQiBDkmVzB4817C6LIVwEvh6GzpvxikbPJnlIQCHH+V8ej+PwzC -RV9FfqUAUEeSloUZSLCaderHwfcAjL5fvAQZSfAu/XqFzzeArRfrtZxMJDCf -bym7uI0Mch5PWKa2kUD3p1p6qyQZCjicnG1ZSRC8erLDRp4Mbs+K/kqwkeCN -Tk7Bt6Nk2O7/L2oat3Co3JW/RmR4/aTTyoODBL0P8w1YfcnA+Uj2CP8OElz0 -/zsbF0yG6v7HZiW4da4/MGaIIENdjou9PjcJPI2ecczdIgPfLJedMw8JyEwi -we4PyFDxJNHsC+6TK++IA4/JIK2dpOnCS4IvtySaK16S4WLtcW4TPhIsytZM -7akiQ9f63cXXuFVZHjYQmsjwbePe8G5+EuSI1KGZVjK0iqdQInAjN+lgKzoZ -dvFOFfXjZp8asa78QIYdjQOphwRIwJQ//E3gMxlOnS/FQnEfeiIueWmKDEuX -aTGA+0ZPiWD3HBliqM4xjIIkYFCLrzjwF39/q7eYNu6yoWeMEYwUSLvq+zgE -d/Jrjq1edgo4tFyre4Y7s7P2hTg/BWzFLL734B4SLWMN2kWBP5kae+Zx62fP -8Tfup0BKVaInrxAJPrqE9bDKUiCdPwUO4s52OKlmqUKBIwXPZTRxP0hysUzR -pEBcOX+hEe6qv2TR4RMUsCg/qGWOmy3L5+5uMwpIXNT8/j8nRDpUO5yhgML8 -4zxj3MoP7yelOlJA7m7WDR3cOyYEBd65U8B77OElOdzCQaNGHAEUeNbwLkoY -t5nKnKzuFQr8My4s+ov3t1TBBEIiKbA4478w8L/+e/xizIungKndpXMluLf3 -DSy8T6IAYxjHtyjcixHsDxlSKHAsPvG2KW5+p7jvMpkUUFw3deTD7Rxq9N0q -nwIqmU/M3+LjPdhp9SCshAKRlwY8b+GOss2ff1RFAU2KaT7CbfPfcYbGJgqE -/WfNPYPPp4OYVOPHVgownzuenYL7d0urPv8HCnw5oGQ0gK+PiKBYHpkxCuiV -f3IOwK1+hoihSQrM7O/O28TXl1ab7y23FQrw5HS18uC2lBmON96iwOkKWbV7 -+Hpc5yw0lGOlAsF5VogH9x5Tj90zwlRYZayQWMXX990CK4WuPVQ4Yqt11h33 -47gs9nwpKhgyaK11cuHPr7HlO3uUChL1Fc8InCQ4xUvTOaRDBVfx6qJPeP3U -TCQp/zOggk60kYw87rM8xwPSzuLPIxxMa8LrrdjigELNZSrkNhdZPWHB6+nx -rTvh16lQbPder42ZBF5eVlUacVSw/E2p+InXc8y1TZvK+1RQ0+CXPIDXe1/i -m2+J5fj1ny9fsN7E4ECvSph2HRWO61NIpzcw4Ly9/PYnhQobR8X0TNYxeIZl -DOq9pcKV51IOsmsYzAQ6Kr+fpYKCZu2F4iUM1vPqVy+tUCF55plI1CJ+vUN4 -PPcWFcxll9zNFjCoQsLzutw0KOr61zkwh8HGapvIrcM0aHy7NlWE5yPDQYGH -ld404FZKvnsaz1eSkS9FIYgGr9b47Xvx/C35Ll5ZEEqDGt6hHoNPGDQ8Kf51 -P4EG3h8vUQ4MY7C8rl1kkUsD2YNPl3LwPP8cetLWcYwGQZeEap+2YCB8PvKh -9SQN9mn/R3pKwyBIV+zIyVkaGCeXyD+iYJD6JzXt0BYN2EOO/I1oxKB4B2Gu -e08zxIWcoy1U4vc/rP/toVMzBBRbFDbm4P2rEj3m5tEMMWc2b5zLxvczDdtZ -uYBmCBQMP7HwBANZRf7o+uvNUPypMos3HYPG/ijl6kfN8MvkVD/THQy2WDU+ -Kg41w499UNV6DYN5lRLDvs/N4CVdYsQcio+/Q6LAlalmIFRvftG8jMGrBwlv -S1aaYTi6EqVfxKCJFjzKJNwCyRaCVC43DNbYZLTkrFqAr68yaNAEgykFQdZb -7S2Q6cZTxS2Mgcbe0lAnegs4MQf86ebH93+uy9lyAy3wG+nIJfBg4DIasqvt -awuw/Nh48YMNA1cP69LRzRY4Zm8xc/kffv7YSHbLVm2FYvKXjidjRKBb7ZgK -yGwFwffdLCdyiXBkocBpJbcV9Ay27XHPJsKBZP9bN160glCunEf0YyI8bvHj + GraphicsBox[{{}, {InsetBox[ + GraphicsBox[{{}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6], + PointBox[{{1., 1.4984044952377256`}, {2., 2.149896186100941}, {3., + 3.148588671129332}, {4., 7.321245713972689}, {5., + 11.65139160728852}, {6., 16.268292399754465`}, {7., + 21.10833674585024}, {8., 26.130702648726547`}}]}, + {RGBColor[0.880722, 0.611041, 0.142051], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6], + PointBox[{{1., 1.4984044952377258`}, {2., 2.1498961861009427`}, {3., + 3.148588671129331}, {4., 7.321245713972692}, {5., + 11.406395540898531`}, {6., 15.758090642811325`}, {7., + 20.329293818672735`}, {8., 25.077972140838284`}}]}}, {{}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0.8541666666666669, -0.4292126243005278}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Identity, Identity}]}, { + Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{16.26084183673469, 0.375}, {8.868246774481946, + 0.3750000000000142}}, + Method->{ + "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& )}}, + PlotRange->{{0.8541666666666669, 8.}, {-0.4292126243005278, + 26.130702648726547`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{Automatic, + Charting`ScaledTicks[{Log, Exp}]}, {Automatic, {{2.302585092994046, + FormBox["10", TraditionalForm], {0.01, 0.}}, {6.907755278982137, + FormBox["1000", TraditionalForm], {0.01, 0.}}, { + 11.512925464970229`, + FormBox[ + + TemplateBox[{"10", "5"}, "Superscript", SyntaxForm -> + SuperscriptBox], TraditionalForm], {0.01, 0.}}, { + 16.11809565095832, + FormBox[ + + TemplateBox[{"10", "7"}, "Superscript", SyntaxForm -> + SuperscriptBox], TraditionalForm], {0.01, 0.}}, { + 20.72326583694641, + FormBox[ + + TemplateBox[{"10", "9"}, "Superscript", SyntaxForm -> + SuperscriptBox], TraditionalForm], {0.01, 0.}}, { + 25.328436022934504`, + FormBox[ + + TemplateBox[{"10", "11"}, "Superscript", SyntaxForm -> + SuperscriptBox], TraditionalForm], {0.01, + 0.}}, {-2.3025850929940455`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {0., + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {4.605170185988092, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {9.210340371976184, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {13.815510557964274`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {18.420680743952367`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {23.025850929940457`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {27.631021115928547`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {29.933606208922594`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}}]], {144.92775512853382, -87.675}, + ImageScaled[{0.5, 0.5}], {271.89163051045244, 167}], InsetBox[ + GraphicsBox[{{}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6], + PointBox[{{2., 1.3479721300955767`}, {8., 12.910637149206908`}}]}, + {RGBColor[0.880722, 0.611041, 0.142051], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6], + PointBox[{{2., 1.3479721300955767`}, {6., 9.398898389330203}, {10., + 23.415843184702496`}}]}}, {{}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{1.8333333333333337`, -0.3789640157547857}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Identity, Identity}]}, { + Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{11.393973214285715`, 0.375}, {8.868246774481946, + 0.3750000000000142}}, + Method->{ + "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& )}}, + PlotRange->{{1.8333333333333337`, 10.}, {-0.3789640157547857, + 23.415843184702496`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{Automatic, + Charting`ScaledTicks[{Log, Exp}]}, {Automatic, {{4.605170185988092, + FormBox["100", TraditionalForm], {0.01, 0.}}, {11.512925464970229`, + FormBox[ + + TemplateBox[{"10", "5"}, "Superscript", SyntaxForm -> + SuperscriptBox], TraditionalForm], {0.01, 0.}}, { + 18.420680743952367`, + FormBox[ + + TemplateBox[{"10", "8"}, "Superscript", SyntaxForm -> + SuperscriptBox], TraditionalForm], {0.01, + 0.}}, {-2.3025850929940455`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {0., + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {2.302585092994046, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {6.907755278982137, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {9.210340371976184, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {13.815510557964274`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {16.11809565095832, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {20.72326583694641, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {23.025850929940457`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {25.328436022934504`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {26.021583203494448`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, + {26.42704831160261, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {26.714730384054395`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {26.937873935368604`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}}]], {432.349831074377, -87.675}, + ImageScaled[{0.5, 0.5}], {267.02476188800347, 167}]}, {}}, + ImageSize->{ + UpTo[540], + UpTo[167]}, + PlotRange->{{0, 574.8441518916864}, {-175.35, 0}}, + PlotRangePadding->{6, 5}]], "Output", + CellChangeTimes->{{3.8260139356528893`*^9, 3.826014016404052*^9}, + 3.826103482588256*^9, {3.8261924073516417`*^9, 3.826192422251688*^9}, { + 3.826192506334887*^9, 3.826192511165022*^9}, 3.826192569607964*^9, { + 3.826193281687119*^9, 3.8261932916788816`*^9}, {3.8261950884991207`*^9, + 3.826195099700686*^9}, 3.826195528686413*^9, 3.82619571261838*^9, + 3.8266906708191833`*^9, 3.826690796879517*^9, 3.826690968978136*^9, + 3.826691022983588*^9, 3.82669130986819*^9, 3.8266914113395023`*^9, { + 3.826691470441575*^9, 3.826691478676578*^9}, 3.826691547522326*^9, + 3.826692538976108*^9, {3.8266931326894836`*^9, 3.826693158588478*^9}, { + 3.826693189017332*^9, 3.826693195508483*^9}, 3.826693227271687*^9, + 3.8266932658138647`*^9, 3.8267029830556583`*^9, 3.8267050798781137`*^9, + 3.82731110851019*^9, 3.827311158810931*^9, 3.827311190613722*^9, + 3.827312689350894*^9, {3.8273128206517763`*^9, 3.8273128397380257`*^9}, + 3.827312962950502*^9, 3.827312999865768*^9, 3.8273133029687557`*^9, + 3.827313914760735*^9, 3.82731466342633*^9, 3.82740362326947*^9, + 3.8274037377468452`*^9, 3.8274042461734877`*^9, {3.827404829106723*^9, + 3.827404849750861*^9}, 3.827404952955348*^9, {3.8274053003547297`*^9, + 3.827405302722981*^9}, {3.827405424099656*^9, 3.827405445525691*^9}, + 3.8274057106595793`*^9, 3.827405755094181*^9, 3.82740580264576*^9, + 3.8274063360586443`*^9, 3.827406412668069*^9, {3.8274065026698103`*^9, + 3.827406523491081*^9}}, + CellLabel-> + "Out[542]=",ExpressionUUID->"6f2f5da5-4600-4a92-85ae-cca01fb533fd"] +}, Open ]], + +Cell[BoxData[{ + RowBox[{ + RowBox[{"h3", "=", + RowBox[{"h", "[", "5", "]"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"F3", "=", "RF"}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"eq3", "=", + RowBox[{ + RowBox[{"eq", "[", + RowBox[{"F3", ",", "h3"}], "]"}], "[", "4", "]"}]}], ";"}]}], "Input", + CellChangeTimes->{ + 3.817563268660089*^9, {3.817563829122241*^9, 3.817563846550528*^9}, { + 3.817563950998456*^9, 3.817563956525237*^9}, {3.8175645239988813`*^9, + 3.817564534320574*^9}, {3.81756485534698*^9, 3.817564862343175*^9}, { + 3.817564919676697*^9, 3.8175649235785027`*^9}, {3.817565106996109*^9, + 3.8175651474217367`*^9}, {3.8175652415905113`*^9, 3.817565250029232*^9}, { + 3.8175657444559927`*^9, 3.8175657689660788`*^9}, 3.8175669120549498`*^9, { + 3.8175677716518087`*^9, 3.817567773706285*^9}, {3.817579700926876*^9, + 3.817579701354711*^9}, {3.8175810533593073`*^9, 3.817581114447541*^9}, { + 3.817581149854197*^9, 3.8175811499220247`*^9}, {3.817581265163169*^9, + 3.81758126542041*^9}, {3.81758144220247*^9, 3.8175814490334673`*^9}, { + 3.8175815152710047`*^9, 3.817581521148234*^9}, {3.817581635837187*^9, + 3.817581700879589*^9}, {3.817581767691791*^9, 3.817581768673394*^9}, { + 3.8175821842992363`*^9, 3.8175821844066353`*^9}, {3.817582286431714*^9, + 3.817582297101211*^9}, {3.817582488847374*^9, 3.817582488974349*^9}, { + 3.817582803954041*^9, 3.817582804222094*^9}, {3.817618756754203*^9, + 3.817618757439868*^9}, {3.81761900296082*^9, 3.817619003035212*^9}, { + 3.8176203963382673`*^9, 3.817620396528458*^9}, {3.817626242723531*^9, + 3.817626282042306*^9}, {3.81762924164756*^9, 3.8176292443562737`*^9}, { + 3.8176636404765043`*^9, 3.817663648770928*^9}, {3.817666003825204*^9, + 3.8176660163975077`*^9}, 3.825758657266858*^9, 3.8257634297123632`*^9, { + 3.8257637382216587`*^9, 3.825763741294034*^9}, {3.825764046315646*^9, + 3.8257640768120003`*^9}, {3.826007441657895*^9, 3.8260074468257313`*^9}, + 3.826007758136524*^9, {3.826013359537168*^9, 3.826013366921255*^9}, { + 3.826013463378932*^9, 3.826013482235341*^9}, {3.826013523932184*^9, + 3.826013538876165*^9}, {3.82601426520155*^9, 3.826014271585395*^9}, { + 3.8260143270039577`*^9, 3.82601435037889*^9}, {3.826103144236719*^9, + 3.826103153044551*^9}, {3.826103245054727*^9, 3.826103248846591*^9}, { + 3.826188113046685*^9, 3.826188114918359*^9}, {3.826193208394355*^9, + 3.826193226018581*^9}, {3.8261933296285877`*^9, 3.826193337228326*^9}, { + 3.826193377341213*^9, 3.826193377469245*^9}, {3.8261936755227547`*^9, + 3.826193702810854*^9}, 3.826193749875917*^9, {3.826193869110321*^9, + 3.8261938776942463`*^9}, {3.82619505157934*^9, 3.826195053275023*^9}, { + 3.82669187949545*^9, 3.826691896799794*^9}, {3.8267049572621393`*^9, + 3.826704967694076*^9}, {3.8267052110266113`*^9, 3.8267052140105457`*^9}, { + 3.8273110525027113`*^9, 3.827311062014526*^9}, {3.827403862804702*^9, + 3.827403874140709*^9}}, + CellLabel-> + "In[106]:=",ExpressionUUID->"172fdee0-af8e-4049-9dda-cfec26fad09c"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"sol3", "=", + RowBox[{"newSol", "[", + RowBox[{"eq3", ",", "sol2", ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "3", "]"}], ",", + RowBox[{"gC", "[", "4", "]"}], ",", + RowBox[{"gC", "[", "5", "]"}]}], "}"}], ",", "0.001"}], + "]"}]}]], "Input", + CellChangeTimes->{{3.8175612726329412`*^9, 3.81756128486736*^9}, { + 3.8175614038617268`*^9, 3.817561415404965*^9}, {3.817561511096093*^9, + 3.817561563944231*^9}, {3.81756250196518*^9, 3.817562507914916*^9}, { + 3.817562967760625*^9, 3.81756298304041*^9}, 3.817563161460335*^9, { + 3.817563206558021*^9, 3.81756320676147*^9}, {3.817563530710863*^9, + 3.817563550054001*^9}, {3.817563775700533*^9, 3.817563804069632*^9}, { + 3.817563971222761*^9, 3.817564086350409*^9}, {3.817564155680212*^9, + 3.8175641623358994`*^9}, {3.81756424029494*^9, 3.817564240399859*^9}, { + 3.8175645416987743`*^9, 3.817564542202907*^9}, {3.817564715061411*^9, + 3.817564723202471*^9}, {3.8175648450855713`*^9, 3.817564883921851*^9}, { + 3.8175650025642157`*^9, 3.817565074155829*^9}, {3.817565217921039*^9, + 3.817565230520749*^9}, {3.817565359356901*^9, 3.8175654247402163`*^9}, { + 3.817565602697175*^9, 3.817565635407323*^9}, {3.817566059389201*^9, + 3.817566077942937*^9}, {3.817566269837482*^9, 3.817566273547044*^9}, { + 3.8175663066250553`*^9, 3.817566306784181*^9}, {3.817566684914805*^9, + 3.81756668549652*^9}, {3.817566919102108*^9, 3.817566934549343*^9}, { + 3.8175696638331223`*^9, 3.817569664744486*^9}, {3.817579706169273*^9, + 3.8175797767735577`*^9}, {3.817581067506674*^9, 3.8175810689721537`*^9}, { + 3.817581121371869*^9, 3.817581169115347*^9}, {3.817581207766066*^9, + 3.817581270669099*^9}, 3.817581309702499*^9, {3.817581355857291*^9, + 3.817581356026667*^9}, {3.817581392130506*^9, 3.817581416424316*^9}, { + 3.817581457365512*^9, 3.8175814943565397`*^9}, {3.81758152586852*^9, + 3.817581526654297*^9}, {3.8175819155874557`*^9, 3.81758195123713*^9}, { + 3.8175820720836487`*^9, 3.817582073079625*^9}, {3.817582192281794*^9, + 3.8175821927535973`*^9}, {3.8175824979646*^9, 3.817582531058486*^9}, { + 3.817582601242318*^9, 3.817582616669943*^9}, {3.817582763042087*^9, + 3.817582823261053*^9}, {3.817582997786705*^9, 3.817583024595161*^9}, { + 3.817584829987904*^9, 3.817584859074748*^9}, {3.81758494165969*^9, + 3.81758496226119*^9}, {3.81758499940244*^9, 3.8175849995669928`*^9}, { + 3.817585077390765*^9, 3.817585077573927*^9}, {3.817585156651001*^9, + 3.817585156823139*^9}, {3.817585322721836*^9, 3.817585349348461*^9}, { + 3.817585456385895*^9, 3.817585457280986*^9}, {3.817585513558703*^9, + 3.8175855137401114`*^9}, {3.817613675501788*^9, 3.817613676578967*^9}, { + 3.8176168804169617`*^9, 3.81761688926372*^9}, {3.817618774003889*^9, + 3.817618793385603*^9}, {3.8176190151288853`*^9, 3.817619038205636*^9}, + 3.8176190698677187`*^9, {3.817619141079945*^9, 3.8176191871342373`*^9}, { + 3.817619234638775*^9, 3.817619240400311*^9}, {3.817619299848545*^9, + 3.817619332922262*^9}, {3.817619399549685*^9, 3.817619401809965*^9}, { + 3.8176196502657223`*^9, 3.817619664950913*^9}, {3.817619740359915*^9, + 3.8176197551387*^9}, {3.81761980328899*^9, 3.8176198034943733`*^9}, { + 3.817620410694891*^9, 3.817620463869529*^9}, {3.817620674916114*^9, + 3.817620678055534*^9}, {3.817620745057685*^9, 3.817620761178657*^9}, { + 3.817626286376536*^9, 3.8176263645243196`*^9}, {3.817629112637333*^9, + 3.817629115136323*^9}, {3.817629250682312*^9, 3.817629259447815*^9}, { + 3.8176294333109083`*^9, 3.817629436163623*^9}, {3.817641032808353*^9, + 3.817641033101226*^9}, {3.817664188948728*^9, 3.817664189649652*^9}, { + 3.817664815999873*^9, 3.817664819955031*^9}, {3.817665075387652*^9, + 3.8176650759521837`*^9}, {3.817665115247237*^9, 3.817665115392807*^9}, { + 3.817665186844384*^9, 3.817665187022648*^9}, {3.817665325401506*^9, + 3.8176653256436853`*^9}, {3.817665620012444*^9, 3.8176656289311333`*^9}, { + 3.817666022150625*^9, 3.817666032733485*^9}, {3.817666540959165*^9, + 3.817666542789474*^9}, {3.825763749599124*^9, 3.825763789470828*^9}, { + 3.82576405360496*^9, 3.825764054939633*^9}, {3.826007455858286*^9, + 3.8260074763785057`*^9}, {3.8260077526573877`*^9, + 3.8260077642405243`*^9}, {3.826012574971777*^9, 3.826012607731414*^9}, { + 3.826012638420402*^9, 3.826012656916271*^9}, {3.826013377866149*^9, + 3.826013381529332*^9}, {3.8260134248909807`*^9, 3.8260134250580482`*^9}, { + 3.826013471603549*^9, 3.826013479731104*^9}, {3.826013543044566*^9, + 3.8260135505164967`*^9}, 3.826013585221402*^9, {3.826013705360456*^9, + 3.8260137090393047`*^9}, {3.8260143392355957`*^9, 3.826014342122834*^9}, + 3.8260145275662203`*^9, {3.826103157141096*^9, 3.8261031646530027`*^9}, { + 3.826103253759523*^9, 3.826103253814419*^9}, 3.826188086398275*^9, { + 3.82618811809542*^9, 3.826188118326466*^9}, {3.82619321647449*^9, + 3.826193246466844*^9}, {3.826193339396967*^9, 3.826193352676867*^9}, { + 3.826193755268758*^9, 3.826193756443915*^9}, {3.826193848125883*^9, + 3.826193882438404*^9}, {3.826195067932687*^9, 3.826195080155675*^9}, { + 3.826691903744399*^9, 3.8266919093361683`*^9}, {3.826692114044053*^9, + 3.8266921558368683`*^9}, {3.826704971398871*^9, 3.826704972677854*^9}, { + 3.826705218923092*^9, 3.8267052252507772`*^9}, {3.827311068198715*^9, + 3.827311075198703*^9}, {3.8273137547587833`*^9, 3.827313765782802*^9}, { + 3.827403883588715*^9, 3.8274038888529987`*^9}}, + CellLabel-> + "In[118]:=",ExpressionUUID->"0ea1b44d-26c0-49ba-8c54-6d51b749dcee"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{ + RowBox[{"\[Theta]c", "\[Rule]", "1.4450844473569175`"}], ",", + RowBox[{"AH", "\[Rule]", "0.1844645592258201`"}], ",", + RowBox[{"AL", "\[Rule]", "3.9360808814948265`"}], ",", + RowBox[{"B", "\[Rule]", "1.7326129972002668`"}], ",", + RowBox[{"\[Theta]0", "\[Rule]", "0.19563626261098388`"}], ",", + RowBox[{ + RowBox[{"gC", "[", "1", "]"}], "\[Rule]", + RowBox[{"-", "0.5044140216161278`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "2", "]"}], "\[Rule]", "0.1611089509262143`"}], ",", + RowBox[{ + RowBox[{"gC", "[", "3", "]"}], "\[Rule]", "0.2755709011802334`"}], ",", + RowBox[{ + RowBox[{"gC", "[", "4", "]"}], "\[Rule]", + RowBox[{"-", "0.20889511734246113`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "5", "]"}], "\[Rule]", "0.04259077531811529`"}]}], + "}"}]], "Output", + CellChangeTimes->{{3.825763769229417*^9, 3.825763862906001*^9}, { + 3.825763893981986*^9, 3.825763937705072*^9}, {3.825764027795516*^9, + 3.825764084811095*^9}, {3.826007456702271*^9, 3.8260075356923723`*^9}, { + 3.826007761819284*^9, 3.826007768458026*^9}, {3.826009171638761*^9, + 3.826009184136553*^9}, 3.826012608015576*^9, {3.8260126389518557`*^9, + 3.826012684498214*^9}, {3.826013381873271*^9, 3.82601348293191*^9}, { + 3.826013551706695*^9, 3.826013712266746*^9}, {3.826014342660366*^9, + 3.826014362738674*^9}, {3.826014404424739*^9, 3.8260145501128902`*^9}, { + 3.826103171596797*^9, 3.8261032024294643`*^9}, {3.826103234525797*^9, + 3.826103256200458*^9}, {3.826188068052063*^9, 3.8261881460579147`*^9}, { + 3.826190121203919*^9, 3.82619013197126*^9}, {3.826190186562374*^9, + 3.826190206023724*^9}, {3.826190248905191*^9, 3.8261902547823963`*^9}, { + 3.826193183164179*^9, 3.826193270802713*^9}, {3.826193353378488*^9, + 3.826193418617701*^9}, {3.826193451081799*^9, 3.826193580615198*^9}, { + 3.826193629758397*^9, 3.826193638312661*^9}, {3.826193757449149*^9, + 3.826193770361895*^9}, {3.826193821240745*^9, 3.8261938523309*^9}, { + 3.826193884791246*^9, 3.826193934210659*^9}, {3.8261950083168907`*^9, + 3.826195017757347*^9}, {3.826195047857491*^9, 3.8261950826549673`*^9}, { + 3.826691920932683*^9, 3.826691922618326*^9}, {3.8266919971920023`*^9, + 3.826692002780466*^9}, {3.826692112526478*^9, 3.826692158858816*^9}, { + 3.8266925745191803`*^9, 3.826692580755364*^9}, 3.826702513737307*^9, { + 3.826702626485655*^9, 3.8267026362689123`*^9}, 3.82670269264437*^9, { + 3.826702726342249*^9, 3.8267027435377703`*^9}, {3.826702780165017*^9, + 3.826702888739481*^9}, 3.826702949758748*^9, 3.8267049840794687`*^9, { + 3.826705239838923*^9, 3.8267052473268833`*^9}, 3.827311077033286*^9, { + 3.827313732590865*^9, 3.827313763818696*^9}, {3.827313795166583*^9, + 3.82731380515902*^9}, 3.8273144278575087`*^9, {3.827314465988103*^9, + 3.827314636985034*^9}, {3.827403890749875*^9, 3.827403914127656*^9}}, + CellLabel-> + "Out[118]=",ExpressionUUID->"56c18def-f4e2-417e-9122-970061230305"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"GraphicsRow", "[", + RowBox[{"{", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{"t3", "[", "\[Theta]", "]"}], "/.", "sol3"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol3"}]}], "}"}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{"h3", "[", "\[Theta]", "]"}], "/.", "sol3"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol3"}]}], "}"}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"F3", "[", "\[Theta]", "]"}], "/.", + RowBox[{"B", "\[Rule]", + RowBox[{"ruleB", "[", + RowBox[{"t3", ",", "h3"}], "]"}]}]}], "/.", "sol3"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol3"}]}], "}"}]}], "]"}]}], + "\[IndentingNewLine]", "}"}], "]"}]], "Input", + CellChangeTimes->{{3.8175672854849167`*^9, 3.8175673108365*^9}, { + 3.817567343605356*^9, 3.817567515945986*^9}, {3.817567689779602*^9, + 3.8175677001061993`*^9}, {3.817567852209393*^9, 3.8175678553653107`*^9}, { + 3.817569677608418*^9, 3.8175696880410147`*^9}, {3.817581502775428*^9, + 3.817581583359663*^9}, {3.817582250277421*^9, 3.817582268443882*^9}, { + 3.8176137509420633`*^9, 3.817613772032806*^9}, {3.817616947220008*^9, + 3.817616967115974*^9}, {3.8176195353257837`*^9, 3.817619546043696*^9}, { + 3.817627764775979*^9, 3.8176278238158283`*^9}, {3.818229824671139*^9, + 3.818229831606958*^9}, {3.818233166561644*^9, 3.81823316664911*^9}, + 3.8182444139503117`*^9, {3.826008373734087*^9, 3.826008396493952*^9}, { + 3.8260133301047697`*^9, 3.826013341448687*^9}, {3.8260134958356*^9, + 3.826013508779696*^9}, {3.8260137167995996`*^9, 3.8260137321035547`*^9}, { + 3.8267050137668047`*^9, 3.826705030326956*^9}}, + CellLabel-> + "In[119]:=",ExpressionUUID->"324ac29a-a49d-4e6b-a8d8-b259afcd34c7"], + +Cell[BoxData[ + GraphicsBox[{{}, {InsetBox[ + GraphicsBox[{{}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{13.414859693877554`, 0.37499999999994316`}, { + 3.944840409303879, 0.3750000000000284}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.4450844473569175`}, {0., 0.}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {109.02624462557412, -63.642109874438596}, + ImageScaled[{0.5, 0.5}], {202.9432527858332, 121.22306642750209}], + InsetBox[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwt13k4lN0bB3AkCi+SRNpFJEoisnyT9qIkKiFLRYvKkiJJWZKK0kJESuUN +la2sKWuRyBrzlDBmnpkxSDHW8jvvdf3+uq/PdeZ65jznnPu+z7PI5dTuwyJC +QkIKwkJC/0Wl/l6tW6kHTWf8P+70vBVsIGUC7UQP1f+i96xT2qOSFmjw4L4e +JjGU/h7cJumAARbjUSOJkbvuvqyS9MC9/NdqWSTOnDpQViJ5Ab3M+U9dSbT5 +kVj7VvIGTrzu3r9R4gZ8a4YaCyUT4Mi66cyYmoAbn+Y1+Wx4ieJ/Bw61a7zE +fQd98dHzb6DnaVrpvesNBjcIy9dmvEVUrLBs84632GpQISNUUopoGzlulH0p +0r/ced5wpBKy1nc9LIoqoHOtrLTRrhoGTw6k3NxUBf8/ZTOdjGsxqD70Ljmh +Bsvz3Saie7+gwE++4UpsHdJFE7T/6W6A+InXCfI29Thb/3XZkvwmHEw/UJf9 +sgFL/MdLhUJb8OsAp+g8vxGd2bVxg2dboS+y/0HI8mZwT6YYh25lQKd3qYUQ +WiBSuGK+1vpvCPM/0etn8RV/upLi43TakTX+CcuNWmF2fTbzyeQPmLI+iDIm +W7GdOV/PdawDSspfFogWtKF0bUmmxN8OiM2l5cOK2rA22lU7S7gTqo7JoWLv +2qBu9u9S4emdeFB/iSFS3oapD3XmPJzdCeET82y4n9vwzm7DJGN1JzK/vvnX +o7MNug1Hq3af6kTaosi0PeIMKJfkOKzv7gR/SJlKtmQg52zLNANOJ97tv2L1 +excDltoj2Vr8TiT/DZUws2YgKN5IQmmwE64B8hu/7mWAfab0Tf+ULnDfu3f1 +OTGQteyLTIJKF4os9vVVezGw5U5PybBLF5w31lBr7jLg47ZY7UVnF/4tXmj/ +q4mBiv7z9jdZXbDLagz51MKAwrnmaG9uF45WjEkntzKQFx4+aTjQhenzU7dY +fGPgz/O+1kohJsQsC/ZFMhkI4xdc61jABCctRbVsgIFYT+uBmY5MHIwu3TEq +RYE7mr502JkJ955u1YfSFNZeFnNkHGYiy+ePu7kshW/R+dVJHkxEWGtpX5lJ +YVHOgidaF5h4Zb23aFyJQqqgx3bzAyYs9VrV7qtReHs+pMifwcSeaYp6KaYU +ZGW8liu3M1G1OkYgvI7CoccHHxR2MuGomOF4wIyCVNXagAkOEzH0UxWJDRTs +FAaMAoeZ+FXldmXvVgojGQ6Fl+S7cVr8Mz/TmsJqtn5BuGU3HokkcI64UQj3 +W7JMY3c3PBubBPfcyXyl5OKqbLqxeXlkdsVRCsG6vX4SDt3IeBxuuOAEhYag +ZMPrx7sRH5kbWHqawmll2fyo8G7Y2ygtrfajkL6Lm3uvtBsKJ1qLfkRQWGxu +axta2Y3yz8oqE9coxOqVDXpXd0PsnIPY7BsUQuYk6Fg1dIPq19m4JYrCge5d +aZJd3VCaGfQi9jYFiXN5iUHCLKjXj3gPxFNwf3gl9Ng6Fj5uPagfmkah/dag +yv4NLMyNT2Z6plPYE+JcunkLC1cyChUdXlBYd9RocskuFlQbKpRXvKIwW7f/ +3I+DLMxRpiJLsihUVtqe2HORBXeboTNJ+RRU+lStTYtZoMeEMrdUUnjQo6bJ +K2FhHj/y5BixPHfplHsVLCwp/tCb+oGCaLdGdm8NCxHqdqumVVFgt2nNTKBY +UDFnUtmfyP5W6DWOj7Dgd+Bmf90Xsh5l+mkpEyyUrLjF9ainEP9+TbC1EBse +nm+fSzRQuF5oqJsmzsaLVXkX1jVSOJlpcttOgQ3LklkBCc0UdBI2WufrsnH4 +usOMeQzy/LhNmofXsNFSWBOVQrw4dvOUGUZsRJ5mta6kKMjd3prtvp4NP6NV +NfhGYTDcYqaiFRtX7shgZzuFPB+bRt+TbPRs8rqzuovCSi/btMVebET8FfuR +Rvz81N7g2jNs6P8pGlnEpBB3bL+u2gU2lC4/j5PophDg5HC7+Rob37W3J31m +UcCOw9arn7Ohoffu5xzuf+cj8c3ndDacS4T3XyBO4rUouWWwMd4QlNROLHR1 +S8f9XDZmtJrUJvAovK/Q9JisIOMpA2nSfArr8SusuouNhdOmpBb0UfCS1uS5 +stnImzpNVbKfwuPvrhZ/uGz8s8Y92I54SkDzzJUDbDBy0TNEXJ6Xl3R3ko05 +ox4nFwxQ2LTqYoHTXBrfjR6fN/lNwVc4b97YAhruTxnbAoifffkZdFuFxg+x +AOECYvFTLpsrl5Hxs2OqqwYpfEzb2KRpSMOilb171hDJL//ANRXGNAr3ux/a +Tqy+LTfOcR2N/at2HwwiDueoO9/aTENDYC9HE29VleoT2NDwmmPskyKg4D+4 +wermfhpt5n1fm4hTyy7kaDjQ+BMkslR4mJx/l35/+0M0TC13hNsSr9VRbx9y +o7Ft+WTcReJjQs5mUcdpnMmXjkshrk5sEC/1onHBzcRxkHjMQ/L4AV/y/5Jt +KkojFJaZbKgd9KOh7lrdYkx8jXp9Z+klGi9mPZt6iXiH4v1FN6JoLOsTiZwg +Ttxkle1zm8Y/5a7zlEcpDPhM32gfQyOk5vNxA+J79X7umg9ppAcObTpFzJnU +GZNLJvOvsmwKJ16rzbs29oyGQwRn0SPiHxF2r6pe0rg8IDf5mXhVvpxZZhYN +5SGTqC7iELq6IfYNjVy19o4h4pZZwYeCCmi47Fg3KD5G1neDkcCtmEalcGaV +IrG/1+8rO0tpvM8NcFYn/pyUprSmkoZCTn+hPvHCOte0+dU05GbYtpkTe/1R +NhGrpbHk7Xj+TuJyzaba3noa0f7LHe2IFeyuOzU30xD9oVvpSuwevuFXURsN +Y2uHX8eJC99MBD/5TuO13GCXF7E0K2fW9U4aZprmseeInWZ6pHizaGQH3JW7 +QJxlpmp4gEvjbJ7e7iBi0dPfq9f3kv1zPrn3MrFt4l37ZQM0PlRfXRxM/LzG +om/GEI05Sg3Z/41PjE0NGh2hEbfuluQlYkuN4hmdE+R5U2csCyRO2uub/FGI +g63jcTL+xL9CtfUyRDloCjlX5EO8IYddGTONg7DGXytPEsd0Je67KMWBIb3b +4wgxT3Yv74gsB6U3Oj0diI0hE2Apz0GSC21qTRzp8eEffUUOHtSmN20m7oi/ ++HDeXA7cxP11jYhXVa/RmbqQgy0yMQe0iENH+kv5Khy8ztluMZ94mY0Tu1CT +A5ZUXOQE2c+AYMVzySs4sLEtbecS12Z+mX5NlwP+0YejzcTe0mZadkYcVNZH +30wlrjQeLTYDB59l9P+5Tax4PHOXhjl5P16KjT9x0YdFPiPbOLD8Kb19I7G0 +oG1qhyUHM3ZEjagTOy+Jjvmwm4OMZ4NeksRil0QK79lxILvrcl0NOd/7XhXs +CHTkQEJqdVYacep3r/bDLhzEJ313uUq8cy1TWO8YB0NZ6ivMiB+7x9+ee5ID +q1qr7crEg/esVUW9OEibuKT/X77F/i7b0ujHwd31oucfE3elP4nyvMrB7Xnf +yn6S/F7D/mmncIODM0v9bpcTX19golZ4kwO1um0HYoj1o5uLRGM5+KDn1GRI +HHFWjBfzjIOxRAUvL1I/fmTsfm2cysG2BfOmmxKv5iUGdb7gYH7r+P1pxO32 +a2ZrvuZASUU2NY7UK5317huKyzgYDV9+NYvUs7DzOTKuH8j+R0UOniFm5AhR +4p84SJntdMCAOGTpfU+rBg6CopTmFvyi0CpVndjdwYEG1+pUJqmfQV81RyX+ +cnBcIuLKKVJfm2XPlb8S5sJ3mPl+MfGybeVRe6ZyofA3Z6SJ1OumInu1RCku +3L76HtInXvr4hrWOMhfDE2E6vaS+157of7HXgIvcdVerlpH6P08k2+WJFxen +p6Yspkm/uRMXaB/jy8W9shd2nsRSuttsI/y54CteOzZG+tOYa+fW05e5yOu8 +KTeduKVCRsc4mgt/WY2rih3k/F49MdmYyYWZmPtaIdL//sqqPZgywEWZrhH3 +N+m3Z54P3BUMcjG3QHBmPzHf7G0Ud4SL65tmdbwl/ZnhtSe4TogHeRl5i2DS +v980XT4WL8tDSpd2pFAthVOxPwx0V/IQutK8pvwjyY8F95tdTvHwM3HO/DNv +KchEPLAz9+ZhhU+0QkERBdPBhz9UzvKwaW/N2J9C0v8/PuN2B/IwoMcKu1xA +6oFnzp8jkTyUHtPKCMwl9ay0TvX4Cx5eBDbtN8+kUHBYzNe7hwfdnIqrf5PJ +/bNu+rh1Pw9a9uULFxErrv0naPVvHvgl2U/XPybvJy0fMTTGA9s40u9yEunv +uYsSz0r0ADlG24YeUEiZZlJ5XqMHwh177qXcJeud5q0Q4tYD6m/PiGkYyb+F +ks2Ljvegr7//zq5QCsN3H99+d7IHS1J4651DyH0zqF52/EwPvNflNl28TGGB +zQpJr5AeMJeY1GUGknz6y5s8+KgHa1J3KnN9SX+3cuEaUT0oDl799ckRCr3D +u4p+W/IxHMnqtjAn97Uat+c/dvOh0bf7lMR6Mp+kwHufbPlo3ujzvYLcf423 +pp9OduRj8c3NhwzJ/TgiTlzV+iQfSaPrFWcaUlAzKb6RdYMP01qbkZvaFBwv +ax70rOGj4KWF12tFCnVSYiL9W3sRMKvB/B6XATV+hnqsRS/KyxxeLeEwEPDp +wE4zq14obaufncVmQD0i88Htfb0Qenq1vYp8DwSJO6wxcOvFt8OUce93BlaK +5Jy4FNKL6Qqnp01pYCB62PnrzHe96OiOX3A0nwHbrrfpBqv70Dft/rhMKAO1 +qsdUWUr9ePJ+fd3rGQzQisOJkdN/Io3JLxcKaoPhxYLv9Rd+Qnfu+bKCrlZ8 +qTrKZ4z/xJ+7L9l681uR7xOndc1zAHtMZIX2b/+KeNuKZn73AEpVGp9MHmxB +ydxvFvIuv0AfqpZdbdIMQ3Ofka6WX4i/+y5mxfQmCCxGvM7a/EZ4kHo+L6oB +aVG+e97W/0a8oNxyWd8XZOv4uqduHETky15Zlm8tJnOddziUDSI599nxm07V +SEysdck1GMKm2a4RTzUqoVek11GaNgTJhwaRtsklkC0O17qjLsBOjyd7nULz +YLrQ4YVUggCJ687pfpJKw8hekWL5hwK4n/a9JvksFVlRKbVzHwmgEn9BYTFS +oTo50L/8qQB3Lkbsqz/9HFLtYassXghwIWtliF5DChjxGbk33gog4ZznPX79 +CXxni5ZKtwvg9LE13KosHit3Pm9Q6BBA/ZOVJZ8XB16YJXN+lwD+W/cVasrF +wUEQK7qCLcAfznTPmIOx2NCstXlnnwACr48ecwR3yH15b03UXwHUfmmkK6tc +R031xLcYoWFov9989NGRCISJPO59KDIMF9tEebfn4Rj15EtniA0jfHVH1qvl +oejYdcnqi/Qwas87O23ZE4C4cDWXVtlhGJ/Ok19Rdw573n/y6pAbxp1/m2yu +bTmDDysU7vxUGEbPu49bTD1OIMit8MmIIvn99FUTKbaHsfah02sh5WH8vqc9 +yPSzx2DL1Mpp84ax6qWq6JGgHXgpndYiu2AYeUuG9aWrj5v+Dzh1GNk= + "]]}, + Annotation[#, "Charting`Private`Tag$29953#1"]& ]}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{8.954559948979593, 0.375}, {3.944840409303879, + 0.3750000000000284}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.4450844473569175`}, {0., 0.4371650540626146}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {324.8485840042734, -63.642109874438596}, + ImageScaled[{0.5, 0.5}], {198.48295304093529, 121.22306642750209}], + InsetBox[ + GraphicsBox[{{}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{13.414859693877554`, 0.37499999999994316`}, { + 3.944840409303879, 0.3750000000000284}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.4450844473569175`}, {0., 0.}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {540.6709233829727, -63.642109874438596}, + ImageScaled[{0.5, 0.5}], {202.9432527858332, 121.22306642750209}]}, {}}, + + ImageSize->{ + UpTo[600], + UpTo[167]}, + PlotRange->{{0, 649.6971680085468}, {-127.28421974887719`, 0}}, + PlotRangePadding->{6, 5}]], "Output", + CellChangeTimes->{3.826008397009801*^9, 3.826008507422884*^9, + 3.826008595888225*^9, 3.826009193863812*^9, 3.826012726730015*^9, + 3.826013341824439*^9, 3.826013509209543*^9, 3.826013733276763*^9, + 3.826014364621566*^9, 3.826014551686549*^9, 3.8261032579784946`*^9, + 3.826188149416966*^9, 3.826190257005371*^9, 3.826193274947978*^9, + 3.826195084074216*^9, 3.8266919241994867`*^9, 3.826692005003628*^9, + 3.82669216257351*^9, 3.826692585000332*^9, 3.8267029526331244`*^9, + 3.826705031912634*^9, 3.826705250545885*^9, 3.827311080287442*^9, + 3.827313808548408*^9, 3.827403919535881*^9}, + CellLabel-> + "Out[119]=",ExpressionUUID->"c649f99a-b980-4714-acb5-e71ec36d8280"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"GraphicsRow", "[", + RowBox[{"{", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"ListLogPlot", "[", + RowBox[{ + RowBox[{"Evaluate", "[", + RowBox[{ + RowBox[{ + RowBox[{"Transpose", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"eqLowRHS", "[", "F3", "]"}], "[", "#", "]"}], ",", + RowBox[{ + RowBox[{"eqLowLHS", "[", + RowBox[{"t3", ",", "h3"}], "]"}], "[", "#", "]"}]}], "}"}]}], + "&"}], "/@", + RowBox[{"Range", "[", "11", "]"}]}], "]"}], "/.", + RowBox[{"rules", "[", + RowBox[{"t3", ",", "h3"}], "]"}]}], "/.", "sol3"}], "]"}], ",", + RowBox[{"PlotRange", "\[Rule]", "All"}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"ListLogPlot", "[", + RowBox[{ + RowBox[{"Evaluate", "[", + RowBox[{ + RowBox[{ + RowBox[{"Transpose", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"eqHighRHS", "[", "F3", "]"}], "[", "#", "]"}], ",", + RowBox[{ + RowBox[{"eqHighLHS", "[", + RowBox[{"t3", ",", "h3"}], "]"}], "[", "#", "]"}]}], "}"}]}], + "&"}], "/@", + RowBox[{"Range", "[", "11", "]"}]}], "]"}], "/.", + RowBox[{"rules", "[", + RowBox[{"t3", ",", "h3"}], "]"}]}], "/.", "sol3"}], "]"}], ",", + RowBox[{"PlotRange", "\[Rule]", "All"}]}], "]"}]}], + "\[IndentingNewLine]", "}"}], "]"}]], "Input", + CellChangeTimes->CompressedData[" +1:eJxTTMoPSmViYGAQBmIQLbPxx/WuxjeOGUxPnoPoDUesmR4BaRaD7SwgOvYw +Hx+INmLdyQ+iq4rmi4LoIrszYiC6xH1iAYjukL4KplUubQx6DKQvaOkEg+ii +b8odIFpE7iqYPtLZNB9ELzrRBabZrDpdrja9cbz16bkbiG6dkRkOopdcLQHT +z9hXV4DoqVfOVoLoCr7qOSD6D+eGuSD60VfjVSB68eRIMB03dc1GEK2z5vdm +sLqOvIZrQLqopqsbRLf+3tsPomfzHwLTx7ynB90B0is+ygaDaC0voN9b3jiW +Jed7gGi5lDBmViDdb94PpgHa+agZ + "], + CellLabel-> + "In[156]:=",ExpressionUUID->"d85908e0-a479-4a49-999f-e6e49522af2d"], + +Cell[BoxData[ + GraphicsBox[{{}, {InsetBox[ + GraphicsBox[{{}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6], + PointBox[{{2., 1.3386332014722349`}, {3., 2.8939882640121604`}, {4., + 3.206047941862596}, {5., 2.9118230865747363`}, {6., + 3.5392728354467016`}, {7., 6.7132340753318545`}, {8., + 10.29748189304271}, {9., 14.03792646673528}, {10., + 17.91190835569147}, {11., 21.903673280482636`}}]}, + {RGBColor[0.880722, 0.611041, 0.142051], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6], + PointBox[{{2., 1.338633201472238}, {3., 2.893988264012164}, {4., + 3.2060479418626113`}, {5., 2.9118230865749792`}, {6., + 3.5392728354465324`}, {7., 6.713234075332}, {8., + 10.297481893042754`}, {9., 14.182402881518504`}, {10., + 17.048288857042387`}, {11., 21.78793855742182}}]}}, {{}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{1.8125000000000004`, -0.2706978919270261}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Identity, Identity}]}, { + Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{11.393973214285722`, 0.37499999999994316`}, { + 8.910519826327231, 0.375}}, + Method->{ + "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& )}}, + PlotRange->{{1.8125000000000004`, 11.}, {-0.2706978919270261, + 21.903673280482636`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{Automatic, + Charting`ScaledTicks[{Log, Exp}]}, {Automatic, {{4.605170185988092, + FormBox["100", TraditionalForm], {0.01, 0.}}, {11.512925464970229`, + FormBox[ + + TemplateBox[{"10", "5"}, "Superscript", SyntaxForm -> + SuperscriptBox], TraditionalForm], {0.01, 0.}}, { + 18.420680743952367`, + FormBox[ + + TemplateBox[{"10", "8"}, "Superscript", SyntaxForm -> + SuperscriptBox], TraditionalForm], {0.01, + 0.}}, {-2.3025850929940455`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {0., + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {2.302585092994046, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {6.907755278982137, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {9.210340371976184, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {13.815510557964274`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {16.11809565095832, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {20.72326583694641, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {23.025850929940457`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {25.328436022934504`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}}]], {141.93021389675732, -87.31932644622096}, + ImageScaled[{0.5, 0.5}], {265.86018760775926, 166.3225265642304}], + InsetBox[ + GraphicsBox[{{}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6], + PointBox[{{2., 1.3479721300955767`}, {3., -44.84387434429729}, {6., + 10.37776133445378}, {10., 24.234845682087865`}, { + 11., -33.060372274778224`}}]}, + {RGBColor[0.880722, 0.611041, 0.142051], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6], + PointBox[{{2., 1.3479721300955767`}, {6., 10.37776133445378}, {10., + 24.286545803156915`}}]}}, {{}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{1.8125000000000004`, -50.25372203803475}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Identity, Identity}]}, { + Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{19.68080357142857, 0.37499999999994316`}, { + 8.910519826327231, 0.375}}, + Method->{ + "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& )}}, + PlotRange->{{1.8125000000000004`, 11.}, {-50.25372203803475, + 24.286545803156915`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{Automatic, + Charting`ScaledTicks[{Log, Exp}]}, { + Automatic, {{-50.65687204586901, + FormBox[ + TemplateBox[{"10", + RowBox[{"-", "22"}]}, "Superscript", SyntaxForm -> + SuperscriptBox], TraditionalForm], {0.01, + 0.}}, {-27.631021115928547`, + FormBox[ + TemplateBox[{"10", + RowBox[{"-", "12"}]}, "Superscript", SyntaxForm -> + SuperscriptBox], TraditionalForm], {0.01, + 0.}}, {-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox[ + StyleBox["\"0.01\"", ShowStringCharacters -> False], 0.01, + AutoDelete -> True], NumberForm[#, { + DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 0.}}, { + 18.420680743952367`, + FormBox[ + + TemplateBox[{"10", "8"}, "Superscript", SyntaxForm -> + SuperscriptBox], TraditionalForm], {0.01, + 0.}}, {-48.35428695287496, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-46.051701859880914`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-43.74911676688687, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-41.44653167389282, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-39.14394658089878, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-36.841361487904734`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-34.538776394910684`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-32.23619130191664, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-29.933606208922594`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-25.328436022934504`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-23.025850929940457`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-20.72326583694641, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-18.420680743952367`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-16.11809565095832, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-13.815510557964274`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-11.512925464970229`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-9.210340371976182, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-6.907755278982137, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.3025850929940455`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {0., + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {2.302585092994046, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {4.605170185988092, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {6.907755278982137, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {9.210340371976184, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {11.512925464970229`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {13.815510557964274`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {16.11809565095832, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {20.72326583694641, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {23.025850929940457`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {25.328436022934504`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {27.631021115928547`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {29.933606208922594`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}}]], {429.9340568688434, -87.31932644622096}, + ImageScaled[{0.5, 0.5}], {274.1470179649021, 166.3225265642304}]}, {}}, + ImageSize->{ + UpTo[540], + UpTo[167]}, + PlotRange->{{0, 576.0076859441722}, {-174.6386528924419, 0}}, + PlotRangePadding->{6, 5}]], "Output", + CellChangeTimes->{{3.8260139356528893`*^9, 3.826014016404052*^9}, + 3.826103482588256*^9, {3.8261924073516417`*^9, 3.826192422251688*^9}, { + 3.826192506334887*^9, 3.826192511165022*^9}, 3.826192569607964*^9, { + 3.826193281687119*^9, 3.8261932916788816`*^9}, {3.8261950884991207`*^9, + 3.826195099700686*^9}, 3.826195528686413*^9, 3.82619571261838*^9, + 3.8266906708191833`*^9, 3.826690796879517*^9, 3.826690968978136*^9, + 3.826691022983588*^9, 3.82669130986819*^9, 3.8266914113395023`*^9, { + 3.826691470441575*^9, 3.826691478676578*^9}, 3.826691547522326*^9, + 3.826692538976108*^9, {3.8266931326894836`*^9, 3.826693158588478*^9}, { + 3.826693189017332*^9, 3.826693195508483*^9}, 3.826693227271687*^9, + 3.8266932658138647`*^9, 3.8267029830556583`*^9, 3.8267050798781137`*^9, + 3.82731110851019*^9, 3.827311158810931*^9, 3.827311190613722*^9, + 3.827312689350894*^9, 3.827313835719719*^9}, + CellLabel-> + "Out[156]=",ExpressionUUID->"a6d1a118-756f-4ed0-a86e-9a8b80b25962"] +}, Open ]], + +Cell[BoxData[{ + RowBox[{ + RowBox[{"h4", "=", + RowBox[{"h", "[", "8", "]"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"F4", "=", "RF"}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"eq4", "=", + RowBox[{ + RowBox[{"eq", "[", + RowBox[{"F4", ",", "h4"}], "]"}], "[", "6", "]"}]}], ";"}]}], "Input", + CellChangeTimes->{ + 3.817563268660089*^9, {3.817563829122241*^9, 3.817563846550528*^9}, { + 3.817563950998456*^9, 3.817563956525237*^9}, {3.8175645239988813`*^9, + 3.817564534320574*^9}, {3.81756485534698*^9, 3.817564862343175*^9}, { + 3.817564919676697*^9, 3.8175649235785027`*^9}, {3.817565106996109*^9, + 3.8175651474217367`*^9}, {3.8175652415905113`*^9, 3.817565250029232*^9}, { + 3.8175657444559927`*^9, 3.8175657689660788`*^9}, 3.8175669120549498`*^9, { + 3.8175677716518087`*^9, 3.817567773706285*^9}, {3.817579700926876*^9, + 3.817579701354711*^9}, {3.8175810533593073`*^9, 3.817581114447541*^9}, { + 3.817581149854197*^9, 3.8175811499220247`*^9}, {3.817581265163169*^9, + 3.81758126542041*^9}, {3.81758144220247*^9, 3.8175814490334673`*^9}, { + 3.8175815152710047`*^9, 3.817581521148234*^9}, {3.817581635837187*^9, + 3.817581700879589*^9}, {3.817581767691791*^9, 3.817581768673394*^9}, { + 3.8175821842992363`*^9, 3.8175821844066353`*^9}, {3.817582286431714*^9, + 3.817582297101211*^9}, {3.817582488847374*^9, 3.817582488974349*^9}, { + 3.817582803954041*^9, 3.817582804222094*^9}, {3.817618756754203*^9, + 3.817618757439868*^9}, {3.81761900296082*^9, 3.817619003035212*^9}, { + 3.8176203963382673`*^9, 3.817620396528458*^9}, {3.817626242723531*^9, + 3.817626282042306*^9}, {3.81762924164756*^9, 3.8176292443562737`*^9}, { + 3.8176636404765043`*^9, 3.817663648770928*^9}, {3.817666003825204*^9, + 3.8176660163975077`*^9}, 3.825758657266858*^9, 3.8257634297123632`*^9, { + 3.8257637382216587`*^9, 3.825763741294034*^9}, {3.825764046315646*^9, + 3.8257640768120003`*^9}, {3.826007441657895*^9, 3.8260074468257313`*^9}, + 3.826007758136524*^9, {3.826013359537168*^9, 3.826013366921255*^9}, { + 3.826013463378932*^9, 3.826013482235341*^9}, {3.826013523932184*^9, + 3.826013538876165*^9}, {3.8260137524801292`*^9, 3.826013770240328*^9}, { + 3.8260145556068563`*^9, 3.8260145653027573`*^9}, {3.8261032675908937`*^9, + 3.826103272294738*^9}, 3.826195188288768*^9, {3.826195220053994*^9, + 3.826195250622513*^9}, {3.8261954157858133`*^9, 3.826195417289577*^9}, { + 3.826195556348267*^9, 3.826195557412087*^9}, {3.826692298351491*^9, + 3.826692312791457*^9}, {3.826696234918025*^9, 3.826696239373735*^9}, { + 3.8267029897530327`*^9, 3.826702990984889*^9}, {3.82670364977323*^9, + 3.826703654476903*^9}, {3.826705087936316*^9, 3.826705105440796*^9}, { + 3.826705269163965*^9, 3.826705272651581*^9}, {3.826705793549531*^9, + 3.8267057995017138`*^9}, {3.826706792791143*^9, 3.826706798135113*^9}, { + 3.8273113209157887`*^9, 3.827311327115488*^9}, {3.82731247019237*^9, + 3.827312476760333*^9}, {3.827403932797948*^9, 3.827403945678021*^9}}, + CellLabel-> + "In[120]:=",ExpressionUUID->"4fbf2b0a-5252-416a-b90a-a12f6d946efe"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"sol4", "=", + RowBox[{"newSol", "[", + RowBox[{"eq4", ",", "sol3", ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "6", "]"}], ",", + RowBox[{"gC", "[", "7", "]"}], ",", + RowBox[{"gC", "[", "8", "]"}]}], "}"}], ",", "0.0001"}], + "]"}]}]], "Input", + CellChangeTimes->{{3.8175612726329412`*^9, 3.81756128486736*^9}, { + 3.8175614038617268`*^9, 3.817561415404965*^9}, {3.817561511096093*^9, + 3.817561563944231*^9}, {3.81756250196518*^9, 3.817562507914916*^9}, { + 3.817562967760625*^9, 3.81756298304041*^9}, 3.817563161460335*^9, { + 3.817563206558021*^9, 3.81756320676147*^9}, {3.817563530710863*^9, + 3.817563550054001*^9}, {3.817563775700533*^9, 3.817563804069632*^9}, { + 3.817563971222761*^9, 3.817564086350409*^9}, {3.817564155680212*^9, + 3.8175641623358994`*^9}, {3.81756424029494*^9, 3.817564240399859*^9}, { + 3.8175645416987743`*^9, 3.817564542202907*^9}, {3.817564715061411*^9, + 3.817564723202471*^9}, {3.8175648450855713`*^9, 3.817564883921851*^9}, { + 3.8175650025642157`*^9, 3.817565074155829*^9}, {3.817565217921039*^9, + 3.817565230520749*^9}, {3.817565359356901*^9, 3.8175654247402163`*^9}, { + 3.817565602697175*^9, 3.817565635407323*^9}, {3.817566059389201*^9, + 3.817566077942937*^9}, {3.817566269837482*^9, 3.817566273547044*^9}, { + 3.8175663066250553`*^9, 3.817566306784181*^9}, {3.817566684914805*^9, + 3.81756668549652*^9}, {3.817566919102108*^9, 3.817566934549343*^9}, { + 3.8175696638331223`*^9, 3.817569664744486*^9}, {3.817579706169273*^9, + 3.8175797767735577`*^9}, {3.817581067506674*^9, 3.8175810689721537`*^9}, { + 3.817581121371869*^9, 3.817581169115347*^9}, {3.817581207766066*^9, + 3.817581270669099*^9}, 3.817581309702499*^9, {3.817581355857291*^9, + 3.817581356026667*^9}, {3.817581392130506*^9, 3.817581416424316*^9}, { + 3.817581457365512*^9, 3.8175814943565397`*^9}, {3.81758152586852*^9, + 3.817581526654297*^9}, {3.8175819155874557`*^9, 3.81758195123713*^9}, { + 3.8175820720836487`*^9, 3.817582073079625*^9}, {3.817582192281794*^9, + 3.8175821927535973`*^9}, {3.8175824979646*^9, 3.817582531058486*^9}, { + 3.817582601242318*^9, 3.817582616669943*^9}, {3.817582763042087*^9, + 3.817582823261053*^9}, {3.817582997786705*^9, 3.817583024595161*^9}, { + 3.817584829987904*^9, 3.817584859074748*^9}, {3.81758494165969*^9, + 3.81758496226119*^9}, {3.81758499940244*^9, 3.8175849995669928`*^9}, { + 3.817585077390765*^9, 3.817585077573927*^9}, {3.817585156651001*^9, + 3.817585156823139*^9}, {3.817585322721836*^9, 3.817585349348461*^9}, { + 3.817585456385895*^9, 3.817585457280986*^9}, {3.817585513558703*^9, + 3.8175855137401114`*^9}, {3.817613675501788*^9, 3.817613676578967*^9}, { + 3.8176168804169617`*^9, 3.81761688926372*^9}, {3.817618774003889*^9, + 3.817618793385603*^9}, {3.8176190151288853`*^9, 3.817619038205636*^9}, + 3.8176190698677187`*^9, {3.817619141079945*^9, 3.8176191871342373`*^9}, { + 3.817619234638775*^9, 3.817619240400311*^9}, {3.817619299848545*^9, + 3.817619332922262*^9}, {3.817619399549685*^9, 3.817619401809965*^9}, { + 3.8176196502657223`*^9, 3.817619664950913*^9}, {3.817619740359915*^9, + 3.8176197551387*^9}, {3.81761980328899*^9, 3.8176198034943733`*^9}, { + 3.817620410694891*^9, 3.817620463869529*^9}, {3.817620674916114*^9, + 3.817620678055534*^9}, {3.817620745057685*^9, 3.817620761178657*^9}, { + 3.817626286376536*^9, 3.8176263645243196`*^9}, {3.817629112637333*^9, + 3.817629115136323*^9}, {3.817629250682312*^9, 3.817629259447815*^9}, { + 3.8176294333109083`*^9, 3.817629436163623*^9}, {3.817641032808353*^9, + 3.817641033101226*^9}, {3.817664188948728*^9, 3.817664189649652*^9}, { + 3.817664815999873*^9, 3.817664819955031*^9}, {3.817665075387652*^9, + 3.8176650759521837`*^9}, {3.817665115247237*^9, 3.817665115392807*^9}, { + 3.817665186844384*^9, 3.817665187022648*^9}, {3.817665325401506*^9, + 3.8176653256436853`*^9}, {3.817665620012444*^9, 3.8176656289311333`*^9}, { + 3.817666022150625*^9, 3.817666032733485*^9}, {3.817666540959165*^9, + 3.817666542789474*^9}, {3.825763749599124*^9, 3.825763789470828*^9}, { + 3.82576405360496*^9, 3.825764054939633*^9}, {3.826007455858286*^9, + 3.8260074763785057`*^9}, {3.8260077526573877`*^9, + 3.8260077642405243`*^9}, {3.826012574971777*^9, 3.826012607731414*^9}, { + 3.826012638420402*^9, 3.826012656916271*^9}, {3.826013377866149*^9, + 3.826013381529332*^9}, {3.8260134248909807`*^9, 3.8260134250580482`*^9}, { + 3.826013471603549*^9, 3.826013479731104*^9}, {3.826013543044566*^9, + 3.8260135505164967`*^9}, 3.826013585221402*^9, {3.826013705360456*^9, + 3.8260137090393047`*^9}, {3.82601377538453*^9, 3.826013782872631*^9}, { + 3.8260145728315573`*^9, 3.8260145779189243`*^9}, {3.8261032795910177`*^9, + 3.826103283751144*^9}, {3.826188167952578*^9, 3.826188168047422*^9}, { + 3.8261952611194477`*^9, 3.826195293623666*^9}, {3.8261954211465473`*^9, + 3.826195464578689*^9}, {3.8261955631572657`*^9, 3.826195563404132*^9}, { + 3.826195670910473*^9, 3.826195671070404*^9}, {3.826692320583496*^9, + 3.826692333831744*^9}, {3.826692384881049*^9, 3.8266923857525673`*^9}, { + 3.8266924291136*^9, 3.826692458235092*^9}, {3.826692617132949*^9, + 3.82669261857277*^9}, 3.826692826368808*^9, 3.826693031156692*^9, { + 3.826693276417159*^9, 3.8266932765689573`*^9}, {3.826696241502627*^9, + 3.8266962448297443`*^9}, {3.826696294430893*^9, 3.826696294750609*^9}, + 3.8266963902968073`*^9, 3.826701067689295*^9, {3.8267029965379143`*^9, + 3.826703000528799*^9}, {3.8267036436852217`*^9, 3.826703660085114*^9}, { + 3.826705114801206*^9, 3.8267051188325577`*^9}, {3.826705277452273*^9, + 3.826705278419608*^9}, {3.826705446599196*^9, 3.826705453839171*^9}, { + 3.826705805342586*^9, 3.8267058111336823`*^9}, {3.8267068008477297`*^9, + 3.826706806391283*^9}, {3.82731133269199*^9, 3.82731133535538*^9}, { + 3.827311521263528*^9, 3.827311521398993*^9}, {3.827312480640839*^9, + 3.8273124807842493`*^9}, {3.8274039521822*^9, 3.827403956750306*^9}}, + CellLabel-> + "In[140]:=",ExpressionUUID->"5ac27342-feda-4aa6-9098-1d0e7b78fae8"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{ + RowBox[{"\[Theta]c", "\[Rule]", "1.5328899165006784`"}], ",", + RowBox[{"AH", "\[Rule]", "0.18775020090652753`"}], ",", + RowBox[{"AL", "\[Rule]", "5.28523415114999`"}], ",", + RowBox[{"B", "\[Rule]", "0.8282389264890428`"}], ",", + RowBox[{"\[Theta]0", "\[Rule]", "0.19415545582757046`"}], ",", + RowBox[{ + RowBox[{"gC", "[", "1", "]"}], "\[Rule]", + RowBox[{"-", "0.6662916962061386`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "2", "]"}], "\[Rule]", "2.2371143183050557`"}], ",", + RowBox[{ + RowBox[{"gC", "[", "3", "]"}], "\[Rule]", + RowBox[{"-", "4.377648171511998`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "4", "]"}], "\[Rule]", "4.345558138420816`"}], ",", + RowBox[{ + RowBox[{"gC", "[", "5", "]"}], "\[Rule]", + RowBox[{"-", "2.4133660040759435`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "6", "]"}], "\[Rule]", "0.7687390939155959`"}], ",", + RowBox[{ + RowBox[{"gC", "[", "7", "]"}], "\[Rule]", + RowBox[{"-", "0.13197147549883242`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "8", "]"}], "\[Rule]", "0.009511653903360723`"}]}], + "}"}]], "Output", + CellChangeTimes->{{3.825763769229417*^9, 3.825763862906001*^9}, { + 3.825763893981986*^9, 3.825763937705072*^9}, {3.825764027795516*^9, + 3.825764084811095*^9}, {3.826007456702271*^9, 3.8260075356923723`*^9}, { + 3.826007761819284*^9, 3.826007768458026*^9}, {3.826009171638761*^9, + 3.826009184136553*^9}, 3.826012608015576*^9, {3.8260126389518557`*^9, + 3.826012684498214*^9}, {3.826013381873271*^9, 3.82601348293191*^9}, { + 3.826013551706695*^9, 3.826013712266746*^9}, {3.826013826844092*^9, + 3.8260138293827477`*^9}, {3.826014578574484*^9, 3.8260146184334*^9}, { + 3.826014652329228*^9, 3.826014747250167*^9}, {3.8261032853124943`*^9, + 3.826103288199881*^9}, {3.826103338908792*^9, 3.826103476722625*^9}, { + 3.826188163487927*^9, 3.826188169158485*^9}, 3.826190263090106*^9, { + 3.826192608127348*^9, 3.826192617118869*^9}, {3.826195271217391*^9, + 3.826195338768621*^9}, {3.826195381670765*^9, 3.826195502772348*^9}, { + 3.826195546921742*^9, 3.8261957274661713`*^9}, {3.826195927290669*^9, + 3.8261959318524933`*^9}, {3.8261960262653017`*^9, 3.826196030736293*^9}, { + 3.8266923573294373`*^9, 3.82669238162337*^9}, 3.826692414343511*^9, + 3.8266924503305197`*^9, 3.826692481011394*^9, {3.826692639383562*^9, + 3.826692654757057*^9}, {3.826692694989317*^9, 3.8266927242781277`*^9}, + 3.826692780246703*^9, 3.826692866247319*^9, 3.826692910628821*^9, + 3.826692985935895*^9, 3.826693021276269*^9, {3.82669306570223*^9, + 3.8266930740970907`*^9}, 3.826693110054582*^9, {3.826693275064522*^9, + 3.8266933022286577`*^9}, {3.826693345435793*^9, 3.8266934173251953`*^9}, { + 3.826696192200684*^9, 3.826696394332053*^9}, 3.82669647734626*^9, + 3.826696676956642*^9, {3.826696822238659*^9, 3.826696848543532*^9}, + 3.8266970637681427`*^9, 3.826697166070841*^9, {3.826698077083632*^9, + 3.826698095195196*^9}, 3.8266981733810167`*^9, {3.826698744951373*^9, + 3.826698808574542*^9}, 3.8266989112839727`*^9, 3.826699480589951*^9, + 3.826699524664351*^9, 3.826699676437768*^9, 3.826699721416561*^9, { + 3.8267010513761663`*^9, 3.826701083053493*^9}, 3.8267012046727037`*^9, { + 3.826701334899428*^9, 3.8267013533252296`*^9}, {3.826701395837893*^9, + 3.826701449988785*^9}, {3.8267030041553783`*^9, 3.826703015076675*^9}, { + 3.826703642131036*^9, 3.82670366152227*^9}, 3.82670371849113*^9, + 3.826703841615259*^9, 3.82670403520719*^9, 3.82670409888553*^9, + 3.826704210149969*^9, 3.826705159997099*^9, 3.826705209409465*^9, + 3.826705412125244*^9, {3.8267054446858797`*^9, 3.826705450296525*^9}, + 3.826705709256763*^9, 3.82670575101304*^9, 3.826705790865972*^9, + 3.826705844793851*^9, 3.826705902646225*^9, 3.8267059827677307`*^9, + 3.8267065497432613`*^9, 3.826706628841421*^9, 3.826706673388678*^9, + 3.826706779829916*^9, 3.826707255968835*^9, 3.826707331781575*^9, + 3.826707696030361*^9, 3.8267082788788157`*^9, 3.8273113545537663`*^9, + 3.8273115187180634`*^9, 3.827311622869137*^9, 3.8273117601386213`*^9, + 3.827311835224266*^9, {3.8273119070108347`*^9, 3.827311930609695*^9}, + 3.827311975567474*^9, 3.827312035347621*^9, 3.827312204955512*^9, + 3.827312350478697*^9, 3.827312410767437*^9, {3.827312466931651*^9, + 3.827312501365696*^9}, {3.827313860157197*^9, 3.827313862882073*^9}, { + 3.827403957086482*^9, 3.8274040077193727`*^9}}, + CellLabel-> + "Out[140]=",ExpressionUUID->"27f02b30-ca65-47fc-b569-1f1337edbf82"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"GraphicsRow", "[", + RowBox[{"{", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{"h4", "[", "\[Theta]", "]"}], "/.", "sol4"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol4"}]}], "}"}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"F4", "[", "\[Theta]", "]"}], "/.", + RowBox[{"B", "\[Rule]", + RowBox[{"ruleB", "[", + RowBox[{"t4", ",", "h4"}], "]"}]}]}], "/.", "sol4"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol4"}]}], "}"}]}], "]"}]}], + "\[IndentingNewLine]", "}"}], "]"}]], "Input", + CellChangeTimes->{{3.8175672854849167`*^9, 3.8175673108365*^9}, { + 3.817567343605356*^9, 3.817567515945986*^9}, {3.817567689779602*^9, + 3.8175677001061993`*^9}, {3.817567852209393*^9, 3.8175678553653107`*^9}, { + 3.817569677608418*^9, 3.8175696880410147`*^9}, {3.817581502775428*^9, + 3.817581583359663*^9}, {3.817582250277421*^9, 3.817582268443882*^9}, { + 3.8176137509420633`*^9, 3.817613772032806*^9}, {3.817616947220008*^9, + 3.817616967115974*^9}, {3.8176195353257837`*^9, 3.817619546043696*^9}, { + 3.817627764775979*^9, 3.8176278238158283`*^9}, {3.818229824671139*^9, + 3.818229831606958*^9}, {3.818233166561644*^9, 3.81823316664911*^9}, + 3.8182444139503117`*^9, {3.826008373734087*^9, 3.826008396493952*^9}, { + 3.8260133301047697`*^9, 3.826013341448687*^9}, {3.8260134958356*^9, + 3.826013508779696*^9}, {3.8260137167995996`*^9, 3.8260137321035547`*^9}, { + 3.826013841697954*^9, 3.826013853521943*^9}, {3.827311985975671*^9, + 3.827311986287529*^9}}, + CellLabel-> + "In[141]:=",ExpressionUUID->"63fcec7c-aaff-46be-90dc-231bca0993d9"], + +Cell[BoxData[ + GraphicsBox[{{}, {InsetBox[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwt1nk0VesbB3CZCaVBKRUpXCm3OSVfZCzJEG5Kg6lSqBQZkzEyJSSVkAgl +krFZ3bohY5LpbISz90EojlOJ39tavz/2etZnnXXevd/peR4Fe3cLJ34+Pr5x +8vyJSY61qleqD2td+X987jdxXqpeCwmpayclSQxpeLSzus4Ue3bds3lPIts3 +riin7iAuCgaz00mUNZ9mJ9e5YUXwmjJvEh892RQUVxeAjft93s4lceqUxZ6o +uhhYBm24ev1DDDJ3dW2MrEtFWriYc+W7VPhv+1KdLlmAb8E6T3fyHoJ5LNxc +0lqK7Z6BRZNppejb4bI8M+AFpsS4HvTv5xgti7Es7X2NDwe+G4Q6vcb+83q+ +hq/fwYtnYmgy/BYGIhlab8eqUSYv26p0twp+9bPi/xGrh1v7NQ8r5VpEFfp5 +fRlrwG8l88LcrHoc8HmW2yf2EdH+3l5SOxthb3PfzP9XMxYWjlQKvWpCjUae +yK4vLSjaExiiqNAMrkCARNxYK8achRqaoz/Bumcq2KWnHam+i0tuNbTA656l +8dMfnai9GnZ6fEkrpjQ6ZmUIdGE6XmqPvlkb2nOcHhfwusCuin6fa9uOZMnW +aR/+HvAplQl7OXbglO8dwbifPdCPzpnnpdcJlU6bgsMivUhz9FxLy7JQUaty +KHBmL/L1ewyG5FjY9fKHZNqsXlQZtZuPLGPB7c6NE9SCXthdU9AfWclC8XFK +6aBKL7R2V0S0rGVBl+t8a79xLy75iTXoGrNgN8sz0vpyL+g1iyPDPFmI10lw +NJnVh2qeXVhCFQsmsTu1Vs7tg3dCVG9fDQvCnXwLp2T6cNvN0XRjHQs+512r +Hy7tg1Ojl25tEwv2Dw3WzV3Th6LRWSl0Bwvrl/yYbjXpg3Dev57Pv7LwkWd3 +42hkH8p6u905synEGMw7px1Dxn9zTWhyDgWjhCpT2fg+rBPNiJ85n8JT9c38 +1df7MNWqEbdClsJd59nH1+T0QdJqraiWAgXPj5Wbxt/1oWKpuL3UWgoLCpQb +g4T6IebEBMvvoZB21zslX6wfxZLLK2XMKajeqLZvk+zHmGtWqLglBa0w9+9r +ZfqxyOX2dY41BccDpfO6lfrRFlTVFXWQQoGooQ2M+uH2PsB4nyuFnUecO35F +9uNG2fcoiQgKH63LMpVj+7GGXiz9KJKCnYm4q+XVfsz3EhC0iqJwanP+79wb +/dBOcl5/NZZCkiR3qe39foin/bg7kkjhS3nokbIP/WC5/mOknkHBb87d/rOz +2Si4vnt+aRmFNY4drfvmseGl6932rZxCV/HcD1oL2VAZ0zVXe0JBb19Qkag8 +G49f1JgnP6MgkXYo8KY6GzYTt6/sraRwc/WiRW9M2Vh7a99du2oKphfMJXMs +2OB/yTY5W0OBr+ESX4w1G4Oa/6Ve+kDmf3ai3+YgG1fEK5FbR0HtyceiAVc2 +9PeHuzQ0kf0wit09N5oNK6V6wYftFNxS3mrz4ti4+c5/aVoHBfnB3+s7E9g4 +alTTHtNJIST25KLsm2y8CyqGE0XB5JMxe+t9NtZLv0wf76HQ4SB40b6aDcev +s70zGXIeiredNaxjo1QgJNWdQ0FbxOOoWhMbtd0RR7YMUMjM7d7NbWNjW2r3 +88pBCidHny+K5LAh4DdSUzFMYTLA+3GhGA3l3zs4m8cplI80zg2WpMHK7brU +Suxpr+axV5pGp0VGy3kuhWF9au3EQhqcMueQggkKPRL6DzVVaPj5tMwR/Enh +dkCqlJQaDbaUr+pV4gMjE66UOo20Yd7wsl8Umpty1YI20+itdAleN0nhv5TZ +ue8MaMSuTn2zbYpCqISL2PWdNPRmhO8oI9YNeH3MxZRGRNNfbuumKTw54qks +aU1jSPhDzyy+LuSrdGRaOJH3BcpuGyY+kbJRcMVxGsytnytXzOiCikSsw/hJ +GtUqz/tsiDOGdZYnn6Ux8PTclyfEiSXZtzuDaeSn+Hw8x98FC5UZ0/nhNNT9 +tR3SiaVSbA8GXqbhs1bwbTXxJX/JJYpXaQjYyoosIXlKf9jZbyyJhmHTxr4d +xPxHXrb/m0Ljnkp/0nFiPz2PlGMZND7svnm2kFijpOaHRhZZv1H3tCZirrLS +vpm5NNQWe9weI3af2bogv5CGcES2zHrBLqj5r/O6UEzjnGdOjBkx/fXyJ7Ny +Ggrb/FpPEts3aiV+f0ljMFSDnU68TC957M0bGm4xEzkVxB3Fo5ZJ/9HQ8ViN +RuJk5V1FR2tovG37N4smtrqeOUejnobxu7yu38RzZk6dFv9IY9O1qkFpoS7U ++tk0tLfQWCkkVb2C2OiweFwARSPao+i3AbFQo8Pwni80cku/mlsTV+54ZqrA +pvGPwozzjsQBxTL53zjk+7d+dj9NvE35lOSbrzR6mCMa/sS85PcnE7/RKPWI ++hhO/FhcscaZS8PG20DnCvFpP79VW37SuPMj4MJ14jVfmyPFpmjwma+MTSOu +EKn+vJqfgT//cHcWsYHCSyULYQYPPM7X5xE3bi0+6ynO4HnHA9uHxIf25lam +SDFQ5/kGFhIPut6e/WIOgyn+ep1HxOfDEw5+kWHQ9fRa6p/fBdMj7ossZnD4 +2KukP/+Pqwj4uWoZA5nqbar3ieU+ehiZKTKoXs39J5v43tCxpLPKDG4d6Fqe +TrxB5GBv8ioGhtmc8D/f/0rect0zdQaK3UKX4ohNtxoFdq9ncPqIomIYcZvl +9lqhLQxOCmzc50Ps7LpOTlWTwUWl1aquxN/ClF1MtRkcy59KPPhnfdPkys7o +MbARuHXTlFi8Qlr4mhGDhXMmt28nTmoS3vvEhIG2yWwfVWLFoV/plBkDzXu1 +ZjLEBcKjwwJWDBLT1Sr5iDXl+7er7GMwtEW+liHnYa9lfeupIwx+sjKKS4m7 +Tv6rnOjEQCJS/spNYtewinPlxxkskpAWCSQOK8+U5j/DQDB6daXun/PUdP2Q +kieDPGsTkeXEqYMxD3b6MNgQ/bp/mpz30mXexleDGDxNyTpbSqyn4XatNIzB +YzcxxSvE9RYOfe2RDApzHp34c5/o0N0XV1xlELmgpno+8aJBhfLiO2S/s3ve +2pH7mSW0QKQtm4Ffm6ahGvG6ZRJWU3kMAh82HvlB7vsuC+6IwWMGDf3FTrHE +fmVVKp/fMPB5kXwvl+QP0cYXnpP/kfUOFf/lSpww8PiN/AeyXzPq2OrED5be +Pny8mUGTa7X8IZKPWCEeyT/7GOjsn9LU/E3yr7mc6BIRDjiqV0+c4lEYf8sN +/CnOwZfgzthmki9zNRt+tEhxsFnlb4MtxHNVwgbiZTg4ccLoOJfk2/6p4VpR +JQ7O19CXrb5TuHz/deKYHgevgh/a3h4i4y9PlWo04qCtszyvk+TzsWvnwx+a +cMDOjo+TJT4YvNrbZS8H9vu3y0SSevC37bUDXQ4cKCwOnW/KpvBJ5IRiTRAH +N9mjwvZdZHx//Zs5YRwcaFfL9ib1Rvv7svnhkRww41WdMSwKOayPwrrxHDSP +jko9IvXKr1iLU5rOAbXySFj7ZwrLHeYU3nnJwYjDfF5FPQXX5+VavlMc6B9T +DX7wnMK3dvWsPP4BDOT62xwk9dbzx13JDuEBhEppHZJ4SiFgQ3yH5qwBBIgH +iB8m9Tom18VnatkALF/4t/UVkX4iaXHJRZ0B+AnIlJ24R+br5r/6UsgAzNKW +HHQg/cH5qO8JZZcGILd7q8uTaFLPco5P0lEDeN0eXjqb9BNCfVbVxokDpH4U +LSi6REFm/5rjM7MGkB7nO/npIoXNhlRmzLsBvLTzr7nhQcFnmY5covggfGSX +Hl5iRUHMrnW4UGoQnpJJ48qk/0lOOf26ds4gpvXbueqkPyqZn+EiungQv38o +YctuMt+ZAuW+qwZJHnSe+EufggvvjZW9ySD26bjGxG+gYNtgFKseM4gQDblK +P2kKGsFm/FXSQ4g5L6rd/pqFEblavrT5Q5Cu2HHhzCsW7pXsmj4nOwTVrN1Z +Ii9YkOEYTCooDOHyHOv8VRUsjJlt53r/PYRzOtJltgUsFCxV5fy1ZwiKZtG6 +VjdZUKoQaIyIIuMtsa17eYaFuaMl6cYiX2EkPTg/mfTHtRYidIj0MBbNk3in +o9UJi0MtHkJCI5iK44bq7e1AkszwRHPACOTo8hcF1u2oeue7R1BgFCcvexR+ +XtWGmVNFAv8EjOKVcsPSpBmt0Fxz5LKY4DfMzjCwCc9rge+XcveuwG+Yed0q +QuTAJ8xNsf6s9+sb9qrmRGQKNuPGzmPzRAK/o/Di45LGC034O3Dlg6+/vqOl +OnD9K8FGlDy0kd0QNIbs8Pd5Ndb1SOz6ICYiPI5K7mWpwk0fcDFp2Ho6cBwu +FmvNghvew84gzMtKmAu+/X+/cRz9F4a+/43VB3GRpunex5WvRGShKbd1kgvW +r0vaQ/ZP8azbuFr74gRYe8Uu3D1chN9JI5M1kxPICYi7YT6diTdqqtljUxMQ +Fpm+0vIgE5GVDuZyM3iQeba12vhAJhZ+/XT3hBAPj3b19H8ru4N1+s9MxaV4 +eG6j1299OgPHvkekGS7jYSfb9fezp7fRtEdRr1KHh5KTbqdcLBKR0nfgK7OD +R/Kuu8nR3AQc9k1KljbgoTn3dPxW/gR8zRIbOryTB9n98nMdC+MhOjWcOG3B +w7Nw466XknHQuv+UrenIQ5W5ke5y/1AI6XKvODrzoGulmdGiHIKaFnXNqGM8 +/GWXcXZzYxD2CdyJaz/JQ2eeYcP4ykCctY3Q8DnHw8zgfQKN8eewdaTyS7oX +DwFuxXLtPWcwI2wy+r03D1sUe69sWncKMYXuPQsDeLDc8Sn07S0nWBnmRGkH +kvm1+OUf3XIYcp09m44F8XCi3KHb6o4Ves7IdceG8KChVxaplaWPHFHry6Vh +PKyPT2O/kHXS+h9iObzL + "]]}, + Annotation[#, "Charting`Private`Tag$33479#1"]& ]}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{8.95455994897959, 0.37500000000005684`}, { + 3.944840409303879, 0.375}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.5328899165006784`}, {0., 0.5006953511620791}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {142.92733997831488, -86.14928426334575}, + ImageScaled[{0.5, 0.5}], {267.84937809231235, 164.09387478732523}], + InsetBox[ + GraphicsBox[{{}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{13.414859693877553`, 0.375}, {3.944840409303879, 0.375}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.5328899165006784`}, {0., 0.}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {431.01216980739355, -86.14928426334575}, + ImageScaled[{0.5, 0.5}], {272.30967783721024, 164.09387478732523}]}, {}}, + ImageSize->{ + UpTo[540], + UpTo[167]}, + PlotRange->{{0, 576.1696596581573}, {-172.2985685266915, 0}}, + PlotRangePadding->{6, 5}]], "Output", + CellChangeTimes->{ + 3.826008397009801*^9, 3.826008507422884*^9, 3.826008595888225*^9, + 3.826009193863812*^9, 3.826012726730015*^9, 3.826013341824439*^9, + 3.826013509209543*^9, 3.826013733276763*^9, 3.826013854006781*^9, + 3.8261032904383802`*^9, 3.8261033958065767`*^9, 3.826103478012329*^9, + 3.826188173469372*^9, 3.826190265424716*^9, 3.82619261989212*^9, + 3.8261953453066387`*^9, 3.8261957306693487`*^9, 3.826195933693584*^9, { + 3.826703008871719*^9, 3.826703019444212*^9}, 3.827311989617463*^9, + 3.827312057868156*^9, 3.8273125117881947`*^9, 3.827313870719933*^9, { + 3.827403984053931*^9, 3.827404008286982*^9}}, + CellLabel-> + "Out[141]=",ExpressionUUID->"3b47183d-06e0-43b9-8604-0d92f4111d12"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"GraphicsRow", "[", + RowBox[{"{", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"ListLogPlot", "[", + RowBox[{ + RowBox[{"Evaluate", "[", + RowBox[{ + RowBox[{ + RowBox[{"Transpose", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"eqLowRHS", "[", "F4", "]"}], "[", "#", "]"}], ",", + RowBox[{ + RowBox[{"eqLowLHS", "[", + RowBox[{"t4", ",", "h4"}], "]"}], "[", "#", "]"}]}], "}"}]}], + "&"}], "/@", + RowBox[{"Range", "[", "11", "]"}]}], "]"}], "/.", + RowBox[{"rules", "[", + RowBox[{"t4", ",", "h4"}], "]"}]}], "/.", "sol4"}], "]"}], ",", + RowBox[{"PlotRange", "\[Rule]", "All"}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"ListLogPlot", "[", + RowBox[{ + RowBox[{"Evaluate", "[", + RowBox[{ + RowBox[{ + RowBox[{"Transpose", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"eqHighRHS", "[", "F4", "]"}], "[", "#", "]"}], ",", + RowBox[{ + RowBox[{"eqHighLHS", "[", + RowBox[{"t4", ",", "h4"}], "]"}], "[", "#", "]"}]}], "}"}]}], + "&"}], "/@", + RowBox[{"Range", "[", "11", "]"}]}], "]"}], "/.", + RowBox[{"rules", "[", + RowBox[{"t4", ",", "h4"}], "]"}]}], "/.", "sol4"}], "]"}], ",", + RowBox[{"PlotRange", "\[Rule]", "All"}]}], "]"}]}], + "\[IndentingNewLine]", "}"}], "]"}]], "Input", + CellChangeTimes->CompressedData[" +1:eJxTTMoPSmViYGAQAWIQLbPxx/WuxjeOGUxPnoPoDUesmR4BaRaD7SwgOvYw +Hx+INmLdyQ+iq4rmi4LoIrszYiC6xH1iAYjukL4KplUubQx6DKQvaOkEg+ii +b8odIFpE7iqYPtLZNB9ELzrRBabZrDpdrja9cbz16bkbiG6dkRkOopdcLQHT +z9hXV4DoqVfOVoLoCr7qOSD6D+eGuSD60VfjVSB68eRIMB03dc1GEK2z5vdm +sLqOvIZrQLqopqsbRLf+3tsPomfzHwLTx7ynB90B0is+ygaDaC0voN9b3jiW +Jed7gOhELs9fIFr5ZsIfEK1zYhkTK5BeNO0LmAYAxrqxIQ== + "], + CellLabel->"In[69]:=",ExpressionUUID->"8f2cfc94-a67c-484e-bbeb-610484e18a97"], + +Cell[BoxData[ + GraphicsBox[{{}, {InsetBox[ + GraphicsBox[{{}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6], + PointBox[{{3., 0.15959302130954653`}, {4., 2.1373040803439163`}, {5., + 1.9139080660548766`}, {6., 0.9474194523675273}, { + 7., -0.3098477014605326}, {8., 0.6025131125667414}, {9., + 2.6450563555575712`}, {10., 4.839886448835364}, {11., + 7.152499760815183}}]}, + {RGBColor[0.880722, 0.611041, 0.142051], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6], + PointBox[{{3., 0.15959302130955033`}, {4., 2.1373040803439136`}, {5., + 1.913908066054854}, {6., 0.9474194523673589}, { + 7., -0.3098477014619708}, {8., 0.6025131125659263}, {9., + 2.6450563555575997`}, {10., 4.324011176317747}, {11., + 6.721488035152985}}]}}, {{}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{2.833333333333334, -0.8938187394298964}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Identity, Identity}]}, { + Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{16.26084183673469, 0.375}, {8.868246774481975, + 0.3750000000000284}}, + Method->{ + "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& )}}, + PlotRange->{{2.833333333333334, 11.}, {-0.8938187394298964, + 7.152499760815183}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{Automatic, + Charting`ScaledTicks[{Log, Exp}]}, {Automatic, {{0., + FormBox["1", TraditionalForm], {0.01, 0.}}, {2.302585092994046, + FormBox["10", TraditionalForm], {0.01, 0.}}, {4.605170185988092, + FormBox["100", TraditionalForm], {0.01, 0.}}, {6.907755278982137, + FormBox["1000", TraditionalForm], {0.01, + 0.}}, {-2.3025850929940455`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.6094379124341003`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.2039728043259361`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.916290731874155, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.6931471805599453, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.5108256237659907, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.35667494393873245`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.2231435513142097, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.10536051565782628`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {0.6931471805599453, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {1.0986122886681098`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {1.3862943611198906`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {1.6094379124341003`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {1.791759469228055, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {1.9459101490553132`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {2.0794415416798357`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {2.1972245773362196`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {2.995732273553991, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {3.4011973816621555`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {3.6888794541139363`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {3.912023005428146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {4.0943445622221, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {4.248495242049359, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {4.382026634673881, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {4.499809670330265, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {5.298317366548036, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {5.703782474656201, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {5.991464547107982, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {6.214608098422191, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {6.396929655216146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {6.551080335043404, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {6.684611727667927, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {6.802394763324311, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {7.600902459542082, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {8.006367567650246, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {8.294049640102028, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {8.517193191416238, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {8.699514748210191, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {8.85366542803745, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {8.987196820661973, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {9.104979856318357, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {9.210340371976184, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {9.305650551780507, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {9.392661928770137, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}}]], {144.00623356783308, -87.06501908704378}, + ImageScaled[{0.5, 0.5}], {270.011687939687, 165.83813159436912}], + InsetBox[ + GraphicsBox[{{}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6], + PointBox[{{2., 0.7281020289234548}, {6., 6.867671208233035}, {10., + 19.179060727522163`}}]}, + {RGBColor[0.880722, 0.611041, 0.142051], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6], + PointBox[{{2., 0.7281020289234548}, {6., 6.867671208233035}, {10., + 19.210984103841152`}}]}}, {{}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{1.8333333333333337`, -0.718288384346688}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Identity, Identity}]}, { + Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{16.260841836734684`, 0.375}, {8.868246774481975, + 0.3750000000000284}}, + Method->{ + "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& )}}, + PlotRange->{{1.8333333333333337`, 10.}, {-0.718288384346688, + 19.210984103841152`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{Automatic, + Charting`ScaledTicks[{Log, Exp}]}, {Automatic, {{0., + FormBox["1", TraditionalForm], {0.01, 0.}}, {6.907755278982137, + FormBox["1000", TraditionalForm], {0.01, 0.}}, { + 13.815510557964274`, + FormBox[ + + TemplateBox[{"10", "6"}, "Superscript", SyntaxForm -> + SuperscriptBox], TraditionalForm], {0.01, 0.}}, { + 2.302585092994046, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {4.605170185988092, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {9.210340371976184, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {11.512925464970229`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {16.11809565095832, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {18.420680743952367`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {20.72326583694641, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {21.416413017506358`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {21.82187812561452, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {22.1095601980663, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {22.33270374938051, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {22.515025306174465`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {22.669175986001726`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}}]], {432.01870070349923, -87.06501908704378}, + ImageScaled[{0.5, 0.5}], {270.011687939687, 165.83813159436912}]}, {}}, + ImageSize->{ + UpTo[540], + UpTo[167]}, + PlotRange->{{0, 576.0249342713323}, {-174.13003817408756`, 0}}, + PlotRangePadding->{6, 5}]], "Output", + CellChangeTimes->{{3.8260139356528893`*^9, 3.826014016404052*^9}, + 3.826103482588256*^9, {3.8261924073516417`*^9, 3.826192422251688*^9}, { + 3.826192506334887*^9, 3.826192511165022*^9}, 3.826192569607964*^9, { + 3.826193281687119*^9, 3.8261932916788816`*^9}, {3.8261950884991207`*^9, + 3.826195099700686*^9}, 3.826195528686413*^9, 3.82619571261838*^9, + 3.8266906708191833`*^9, 3.826690796879517*^9, 3.826690968978136*^9, + 3.826691022983588*^9, 3.82669130986819*^9, 3.8266914113395023`*^9, { + 3.826691470441575*^9, 3.826691478676578*^9}, 3.826691547522326*^9, + 3.826692538976108*^9, {3.8266931326894836`*^9, 3.826693158588478*^9}, { + 3.826693189017332*^9, 3.826693195508483*^9}, 3.826693227271687*^9, + 3.8266932658138647`*^9, 3.8267029830556583`*^9, 3.8267050798781137`*^9, + 3.82731110851019*^9, 3.827311158810931*^9, 3.827311190613722*^9, + 3.82731264380617*^9, 3.8273127101237392`*^9}, + CellLabel->"Out[69]=",ExpressionUUID->"9909fce1-573c-4c13-ad95-5009778e65ae"] +}, Open ]], + +Cell[BoxData[{ + RowBox[{ + RowBox[{"h5", "=", + RowBox[{"h", "[", "11", "]"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"F5", "=", "RF"}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"eq5", "=", + RowBox[{ + RowBox[{"eq", "[", + RowBox[{"F5", ",", "h5"}], "]"}], "[", "8", "]"}]}], ";"}]}], "Input", + CellChangeTimes->{ + 3.817563268660089*^9, {3.817563829122241*^9, 3.817563846550528*^9}, { + 3.817563950998456*^9, 3.817563956525237*^9}, {3.8175645239988813`*^9, + 3.817564534320574*^9}, {3.81756485534698*^9, 3.817564862343175*^9}, { + 3.817564919676697*^9, 3.8175649235785027`*^9}, {3.817565106996109*^9, + 3.8175651474217367`*^9}, {3.8175652415905113`*^9, 3.817565250029232*^9}, { + 3.8175657444559927`*^9, 3.8175657689660788`*^9}, 3.8175669120549498`*^9, { + 3.8175677716518087`*^9, 3.817567773706285*^9}, {3.817579700926876*^9, + 3.817579701354711*^9}, {3.8175810533593073`*^9, 3.817581114447541*^9}, { + 3.817581149854197*^9, 3.8175811499220247`*^9}, {3.817581265163169*^9, + 3.81758126542041*^9}, {3.81758144220247*^9, 3.8175814490334673`*^9}, { + 3.8175815152710047`*^9, 3.817581521148234*^9}, {3.817581635837187*^9, + 3.817581700879589*^9}, {3.817581767691791*^9, 3.817581768673394*^9}, { + 3.8175821842992363`*^9, 3.8175821844066353`*^9}, {3.817582286431714*^9, + 3.817582297101211*^9}, {3.817582488847374*^9, 3.817582488974349*^9}, { + 3.817582803954041*^9, 3.817582804222094*^9}, {3.817618756754203*^9, + 3.817618757439868*^9}, {3.81761900296082*^9, 3.817619003035212*^9}, { + 3.8176203963382673`*^9, 3.817620396528458*^9}, {3.817626242723531*^9, + 3.817626282042306*^9}, {3.81762924164756*^9, 3.8176292443562737`*^9}, { + 3.8176636404765043`*^9, 3.817663648770928*^9}, {3.817666003825204*^9, + 3.8176660163975077`*^9}, 3.825758657266858*^9, 3.8257634297123632`*^9, { + 3.8257637382216587`*^9, 3.825763741294034*^9}, {3.825764046315646*^9, + 3.8257640768120003`*^9}, {3.826007441657895*^9, 3.8260074468257313`*^9}, + 3.826007758136524*^9, {3.826013359537168*^9, 3.826013366921255*^9}, { + 3.826013463378932*^9, 3.826013482235341*^9}, {3.826013523932184*^9, + 3.826013538876165*^9}, {3.8260137524801292`*^9, 3.826013770240328*^9}, { + 3.8260145556068563`*^9, 3.8260145653027573`*^9}, {3.8261032675908937`*^9, + 3.826103272294738*^9}, 3.826195188288768*^9, {3.826195220053994*^9, + 3.826195250622513*^9}, {3.8261954157858133`*^9, 3.826195417289577*^9}, { + 3.826195556348267*^9, 3.826195557412087*^9}, {3.826692298351491*^9, + 3.826692312791457*^9}, {3.826696234918025*^9, 3.826696239373735*^9}, { + 3.8267029897530327`*^9, 3.826702990984889*^9}, {3.82670364977323*^9, + 3.826703654476903*^9}, {3.826705087936316*^9, 3.826705105440796*^9}, { + 3.826705269163965*^9, 3.826705272651581*^9}, {3.826705793549531*^9, + 3.8267057995017138`*^9}, {3.826706792791143*^9, 3.826706798135113*^9}, { + 3.8273113209157887`*^9, 3.827311327115488*^9}, {3.82731247019237*^9, + 3.827312476760333*^9}, {3.827312535153387*^9, 3.8273125493134108`*^9}, { + 3.8274040210637197`*^9, 3.827404036719943*^9}}, + CellLabel-> + "In[142]:=",ExpressionUUID->"59993536-91f3-449a-9e8c-58cd1f6ec74c"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"sol5", "=", + RowBox[{"newSol", "[", + RowBox[{"eq5", ",", "sol4", ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "9", "]"}], ",", + RowBox[{"gC", "[", "10", "]"}], ",", + RowBox[{"gC", "[", "11", "]"}]}], "}"}], ",", "0.0001"}], + "]"}]}]], "Input", + CellChangeTimes->{{3.8175612726329412`*^9, 3.81756128486736*^9}, { + 3.8175614038617268`*^9, 3.817561415404965*^9}, {3.817561511096093*^9, + 3.817561563944231*^9}, {3.81756250196518*^9, 3.817562507914916*^9}, { + 3.817562967760625*^9, 3.81756298304041*^9}, 3.817563161460335*^9, { + 3.817563206558021*^9, 3.81756320676147*^9}, {3.817563530710863*^9, + 3.817563550054001*^9}, {3.817563775700533*^9, 3.817563804069632*^9}, { + 3.817563971222761*^9, 3.817564086350409*^9}, {3.817564155680212*^9, + 3.8175641623358994`*^9}, {3.81756424029494*^9, 3.817564240399859*^9}, { + 3.8175645416987743`*^9, 3.817564542202907*^9}, {3.817564715061411*^9, + 3.817564723202471*^9}, {3.8175648450855713`*^9, 3.817564883921851*^9}, { + 3.8175650025642157`*^9, 3.817565074155829*^9}, {3.817565217921039*^9, + 3.817565230520749*^9}, {3.817565359356901*^9, 3.8175654247402163`*^9}, { + 3.817565602697175*^9, 3.817565635407323*^9}, {3.817566059389201*^9, + 3.817566077942937*^9}, {3.817566269837482*^9, 3.817566273547044*^9}, { + 3.8175663066250553`*^9, 3.817566306784181*^9}, {3.817566684914805*^9, + 3.81756668549652*^9}, {3.817566919102108*^9, 3.817566934549343*^9}, { + 3.8175696638331223`*^9, 3.817569664744486*^9}, {3.817579706169273*^9, + 3.8175797767735577`*^9}, {3.817581067506674*^9, 3.8175810689721537`*^9}, { + 3.817581121371869*^9, 3.817581169115347*^9}, {3.817581207766066*^9, + 3.817581270669099*^9}, 3.817581309702499*^9, {3.817581355857291*^9, + 3.817581356026667*^9}, {3.817581392130506*^9, 3.817581416424316*^9}, { + 3.817581457365512*^9, 3.8175814943565397`*^9}, {3.81758152586852*^9, + 3.817581526654297*^9}, {3.8175819155874557`*^9, 3.81758195123713*^9}, { + 3.8175820720836487`*^9, 3.817582073079625*^9}, {3.817582192281794*^9, + 3.8175821927535973`*^9}, {3.8175824979646*^9, 3.817582531058486*^9}, { + 3.817582601242318*^9, 3.817582616669943*^9}, {3.817582763042087*^9, + 3.817582823261053*^9}, {3.817582997786705*^9, 3.817583024595161*^9}, { + 3.817584829987904*^9, 3.817584859074748*^9}, {3.81758494165969*^9, + 3.81758496226119*^9}, {3.81758499940244*^9, 3.8175849995669928`*^9}, { + 3.817585077390765*^9, 3.817585077573927*^9}, {3.817585156651001*^9, + 3.817585156823139*^9}, {3.817585322721836*^9, 3.817585349348461*^9}, { + 3.817585456385895*^9, 3.817585457280986*^9}, {3.817585513558703*^9, + 3.8175855137401114`*^9}, {3.817613675501788*^9, 3.817613676578967*^9}, { + 3.8176168804169617`*^9, 3.81761688926372*^9}, {3.817618774003889*^9, + 3.817618793385603*^9}, {3.8176190151288853`*^9, 3.817619038205636*^9}, + 3.8176190698677187`*^9, {3.817619141079945*^9, 3.8176191871342373`*^9}, { + 3.817619234638775*^9, 3.817619240400311*^9}, {3.817619299848545*^9, + 3.817619332922262*^9}, {3.817619399549685*^9, 3.817619401809965*^9}, { + 3.8176196502657223`*^9, 3.817619664950913*^9}, {3.817619740359915*^9, + 3.8176197551387*^9}, {3.81761980328899*^9, 3.8176198034943733`*^9}, { + 3.817620410694891*^9, 3.817620463869529*^9}, {3.817620674916114*^9, + 3.817620678055534*^9}, {3.817620745057685*^9, 3.817620761178657*^9}, { + 3.817626286376536*^9, 3.8176263645243196`*^9}, {3.817629112637333*^9, + 3.817629115136323*^9}, {3.817629250682312*^9, 3.817629259447815*^9}, { + 3.8176294333109083`*^9, 3.817629436163623*^9}, {3.817641032808353*^9, + 3.817641033101226*^9}, {3.817664188948728*^9, 3.817664189649652*^9}, { + 3.817664815999873*^9, 3.817664819955031*^9}, {3.817665075387652*^9, + 3.8176650759521837`*^9}, {3.817665115247237*^9, 3.817665115392807*^9}, { + 3.817665186844384*^9, 3.817665187022648*^9}, {3.817665325401506*^9, + 3.8176653256436853`*^9}, {3.817665620012444*^9, 3.8176656289311333`*^9}, { + 3.817666022150625*^9, 3.817666032733485*^9}, {3.817666540959165*^9, + 3.817666542789474*^9}, {3.825763749599124*^9, 3.825763789470828*^9}, { + 3.82576405360496*^9, 3.825764054939633*^9}, {3.826007455858286*^9, + 3.8260074763785057`*^9}, {3.8260077526573877`*^9, + 3.8260077642405243`*^9}, {3.826012574971777*^9, 3.826012607731414*^9}, { + 3.826012638420402*^9, 3.826012656916271*^9}, {3.826013377866149*^9, + 3.826013381529332*^9}, {3.8260134248909807`*^9, 3.8260134250580482`*^9}, { + 3.826013471603549*^9, 3.826013479731104*^9}, {3.826013543044566*^9, + 3.8260135505164967`*^9}, 3.826013585221402*^9, {3.826013705360456*^9, + 3.8260137090393047`*^9}, {3.82601377538453*^9, 3.826013782872631*^9}, { + 3.8260145728315573`*^9, 3.8260145779189243`*^9}, {3.8261032795910177`*^9, + 3.826103283751144*^9}, {3.826188167952578*^9, 3.826188168047422*^9}, { + 3.8261952611194477`*^9, 3.826195293623666*^9}, {3.8261954211465473`*^9, + 3.826195464578689*^9}, {3.8261955631572657`*^9, 3.826195563404132*^9}, { + 3.826195670910473*^9, 3.826195671070404*^9}, {3.826692320583496*^9, + 3.826692333831744*^9}, {3.826692384881049*^9, 3.8266923857525673`*^9}, { + 3.8266924291136*^9, 3.826692458235092*^9}, {3.826692617132949*^9, + 3.82669261857277*^9}, 3.826692826368808*^9, 3.826693031156692*^9, { + 3.826693276417159*^9, 3.8266932765689573`*^9}, {3.826696241502627*^9, + 3.8266962448297443`*^9}, {3.826696294430893*^9, 3.826696294750609*^9}, + 3.8266963902968073`*^9, 3.826701067689295*^9, {3.8267029965379143`*^9, + 3.826703000528799*^9}, {3.8267036436852217`*^9, 3.826703660085114*^9}, { + 3.826705114801206*^9, 3.8267051188325577`*^9}, {3.826705277452273*^9, + 3.826705278419608*^9}, {3.826705446599196*^9, 3.826705453839171*^9}, { + 3.826705805342586*^9, 3.8267058111336823`*^9}, {3.8267068008477297`*^9, + 3.826706806391283*^9}, {3.82731133269199*^9, 3.82731133535538*^9}, { + 3.827311521263528*^9, 3.827311521398993*^9}, {3.827312480640839*^9, + 3.8273124807842493`*^9}, {3.827312552449513*^9, 3.8273125832260733`*^9}, { + 3.827404042864307*^9, 3.827404063808384*^9}}, + CellLabel-> + "In[149]:=",ExpressionUUID->"ab599d2d-27ef-4491-b1cb-534f98403e59"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{ + RowBox[{"\[Theta]c", "\[Rule]", "1.4825351605693518`"}], ",", + RowBox[{"AH", "\[Rule]", "0.18459355855941834`"}], ",", + RowBox[{"AL", "\[Rule]", "4.422751628749113`"}], ",", + RowBox[{"B", "\[Rule]", "1.2590034892983204`"}], ",", + RowBox[{"\[Theta]0", "\[Rule]", "0.1944448582503536`"}], ",", + RowBox[{ + RowBox[{"gC", "[", "1", "]"}], "\[Rule]", + RowBox[{"-", "0.5850810914540856`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "2", "]"}], "\[Rule]", "2.0304674969057084`"}], ",", + RowBox[{ + RowBox[{"gC", "[", "3", "]"}], "\[Rule]", + RowBox[{"-", "17.26600191154757`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "4", "]"}], "\[Rule]", "41.89646685076788`"}], ",", + RowBox[{ + RowBox[{"gC", "[", "5", "]"}], "\[Rule]", + RowBox[{"-", "45.63217783230269`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "6", "]"}], "\[Rule]", "24.381193683740857`"}], ",", + RowBox[{ + RowBox[{"gC", "[", "7", "]"}], "\[Rule]", + RowBox[{"-", "4.324357464694065`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "8", "]"}], "\[Rule]", + RowBox[{"-", "1.9387988612474765`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "9", "]"}], "\[Rule]", "1.2616366225861604`"}], ",", + RowBox[{ + RowBox[{"gC", "[", "10", "]"}], "\[Rule]", + RowBox[{"-", "0.27448086799989785`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "11", "]"}], "\[Rule]", "0.022156641964971028`"}]}], + "}"}]], "Output", + CellChangeTimes->{{3.825763769229417*^9, 3.825763862906001*^9}, { + 3.825763893981986*^9, 3.825763937705072*^9}, {3.825764027795516*^9, + 3.825764084811095*^9}, {3.826007456702271*^9, 3.8260075356923723`*^9}, { + 3.826007761819284*^9, 3.826007768458026*^9}, {3.826009171638761*^9, + 3.826009184136553*^9}, 3.826012608015576*^9, {3.8260126389518557`*^9, + 3.826012684498214*^9}, {3.826013381873271*^9, 3.82601348293191*^9}, { + 3.826013551706695*^9, 3.826013712266746*^9}, {3.826013826844092*^9, + 3.8260138293827477`*^9}, {3.826014578574484*^9, 3.8260146184334*^9}, { + 3.826014652329228*^9, 3.826014747250167*^9}, {3.8261032853124943`*^9, + 3.826103288199881*^9}, {3.826103338908792*^9, 3.826103476722625*^9}, { + 3.826188163487927*^9, 3.826188169158485*^9}, 3.826190263090106*^9, { + 3.826192608127348*^9, 3.826192617118869*^9}, {3.826195271217391*^9, + 3.826195338768621*^9}, {3.826195381670765*^9, 3.826195502772348*^9}, { + 3.826195546921742*^9, 3.8261957274661713`*^9}, {3.826195927290669*^9, + 3.8261959318524933`*^9}, {3.8261960262653017`*^9, 3.826196030736293*^9}, { + 3.8266923573294373`*^9, 3.82669238162337*^9}, 3.826692414343511*^9, + 3.8266924503305197`*^9, 3.826692481011394*^9, {3.826692639383562*^9, + 3.826692654757057*^9}, {3.826692694989317*^9, 3.8266927242781277`*^9}, + 3.826692780246703*^9, 3.826692866247319*^9, 3.826692910628821*^9, + 3.826692985935895*^9, 3.826693021276269*^9, {3.82669306570223*^9, + 3.8266930740970907`*^9}, 3.826693110054582*^9, {3.826693275064522*^9, + 3.8266933022286577`*^9}, {3.826693345435793*^9, 3.8266934173251953`*^9}, { + 3.826696192200684*^9, 3.826696394332053*^9}, 3.82669647734626*^9, + 3.826696676956642*^9, {3.826696822238659*^9, 3.826696848543532*^9}, + 3.8266970637681427`*^9, 3.826697166070841*^9, {3.826698077083632*^9, + 3.826698095195196*^9}, 3.8266981733810167`*^9, {3.826698744951373*^9, + 3.826698808574542*^9}, 3.8266989112839727`*^9, 3.826699480589951*^9, + 3.826699524664351*^9, 3.826699676437768*^9, 3.826699721416561*^9, { + 3.8267010513761663`*^9, 3.826701083053493*^9}, 3.8267012046727037`*^9, { + 3.826701334899428*^9, 3.8267013533252296`*^9}, {3.826701395837893*^9, + 3.826701449988785*^9}, {3.8267030041553783`*^9, 3.826703015076675*^9}, { + 3.826703642131036*^9, 3.82670366152227*^9}, 3.82670371849113*^9, + 3.826703841615259*^9, 3.82670403520719*^9, 3.82670409888553*^9, + 3.826704210149969*^9, 3.826705159997099*^9, 3.826705209409465*^9, + 3.826705412125244*^9, {3.8267054446858797`*^9, 3.826705450296525*^9}, + 3.826705709256763*^9, 3.82670575101304*^9, 3.826705790865972*^9, + 3.826705844793851*^9, 3.826705902646225*^9, 3.8267059827677307`*^9, + 3.8267065497432613`*^9, 3.826706628841421*^9, 3.826706673388678*^9, + 3.826706779829916*^9, 3.826707255968835*^9, 3.826707331781575*^9, + 3.826707696030361*^9, 3.8267082788788157`*^9, 3.8273113545537663`*^9, + 3.8273115187180634`*^9, 3.827311622869137*^9, 3.8273117601386213`*^9, + 3.827311835224266*^9, {3.8273119070108347`*^9, 3.827311930609695*^9}, + 3.827311975567474*^9, 3.827312035347621*^9, 3.827312204955512*^9, + 3.827312350478697*^9, 3.827312410767437*^9, {3.827312466931651*^9, + 3.827312501365696*^9}, 3.8273125796757107`*^9, 3.827312615903823*^9, + 3.827312770209733*^9, {3.82740405591085*^9, 3.827404071012663*^9}}, + CellLabel-> + "Out[149]=",ExpressionUUID->"5791ce89-84da-4042-b894-b02baf536b37"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"GraphicsRow", "[", + RowBox[{"{", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{"h4", "[", "\[Theta]", "]"}], "/.", "sol4"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol4"}]}], "}"}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"F4", "[", "\[Theta]", "]"}], "/.", + RowBox[{"B", "\[Rule]", + RowBox[{"ruleB", "[", + RowBox[{"t4", ",", "h4"}], "]"}]}]}], "/.", "sol4"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol4"}]}], "}"}]}], "]"}]}], + "\[IndentingNewLine]", "}"}], "]"}]], "Input", + CellChangeTimes->{{3.8175672854849167`*^9, 3.8175673108365*^9}, { + 3.817567343605356*^9, 3.817567515945986*^9}, {3.817567689779602*^9, + 3.8175677001061993`*^9}, {3.817567852209393*^9, 3.8175678553653107`*^9}, { + 3.817569677608418*^9, 3.8175696880410147`*^9}, {3.817581502775428*^9, + 3.817581583359663*^9}, {3.817582250277421*^9, 3.817582268443882*^9}, { + 3.8176137509420633`*^9, 3.817613772032806*^9}, {3.817616947220008*^9, + 3.817616967115974*^9}, {3.8176195353257837`*^9, 3.817619546043696*^9}, { + 3.817627764775979*^9, 3.8176278238158283`*^9}, {3.818229824671139*^9, + 3.818229831606958*^9}, {3.818233166561644*^9, 3.81823316664911*^9}, + 3.8182444139503117`*^9, {3.826008373734087*^9, 3.826008396493952*^9}, { + 3.8260133301047697`*^9, 3.826013341448687*^9}, {3.8260134958356*^9, + 3.826013508779696*^9}, {3.8260137167995996`*^9, 3.8260137321035547`*^9}, { + 3.826013841697954*^9, 3.826013853521943*^9}, {3.827311985975671*^9, + 3.827311986287529*^9}}, + CellLabel-> + "In[150]:=",ExpressionUUID->"f9bd15f0-d859-4863-9fe9-3ad2883e76d2"], + +Cell[BoxData[ + GraphicsBox[{{}, {InsetBox[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwt1nk0VesbB3CZCaVBKRUpXCm3OSVfZCzJEG5Kg6lSqBQZkzEyJSSVkAgl +krFZ3bohY5LpbISz90EojlOJ39tavz/2etZnnXXevd/peR4Fe3cLJ34+Pr5x +8vyJSY61qleqD2td+X987jdxXqpeCwmpayclSQxpeLSzus4Ue3bds3lPIts3 +riin7iAuCgaz00mUNZ9mJ9e5YUXwmjJvEh892RQUVxeAjft93s4lceqUxZ6o +uhhYBm24ev1DDDJ3dW2MrEtFWriYc+W7VPhv+1KdLlmAb8E6T3fyHoJ5LNxc +0lqK7Z6BRZNppejb4bI8M+AFpsS4HvTv5xgti7Es7X2NDwe+G4Q6vcb+83q+ +hq/fwYtnYmgy/BYGIhlab8eqUSYv26p0twp+9bPi/xGrh1v7NQ8r5VpEFfp5 +fRlrwG8l88LcrHoc8HmW2yf2EdH+3l5SOxthb3PfzP9XMxYWjlQKvWpCjUae +yK4vLSjaExiiqNAMrkCARNxYK8achRqaoz/Bumcq2KWnHam+i0tuNbTA656l +8dMfnai9GnZ6fEkrpjQ6ZmUIdGE6XmqPvlkb2nOcHhfwusCuin6fa9uOZMnW +aR/+HvAplQl7OXbglO8dwbifPdCPzpnnpdcJlU6bgsMivUhz9FxLy7JQUaty +KHBmL/L1ewyG5FjY9fKHZNqsXlQZtZuPLGPB7c6NE9SCXthdU9AfWclC8XFK +6aBKL7R2V0S0rGVBl+t8a79xLy75iTXoGrNgN8sz0vpyL+g1iyPDPFmI10lw +NJnVh2qeXVhCFQsmsTu1Vs7tg3dCVG9fDQvCnXwLp2T6cNvN0XRjHQs+512r +Hy7tg1Ojl25tEwv2Dw3WzV3Th6LRWSl0Bwvrl/yYbjXpg3Dev57Pv7LwkWd3 +42hkH8p6u905synEGMw7px1Dxn9zTWhyDgWjhCpT2fg+rBPNiJ85n8JT9c38 +1df7MNWqEbdClsJd59nH1+T0QdJqraiWAgXPj5Wbxt/1oWKpuL3UWgoLCpQb +g4T6IebEBMvvoZB21zslX6wfxZLLK2XMKajeqLZvk+zHmGtWqLglBa0w9+9r +ZfqxyOX2dY41BccDpfO6lfrRFlTVFXWQQoGooQ2M+uH2PsB4nyuFnUecO35F +9uNG2fcoiQgKH63LMpVj+7GGXiz9KJKCnYm4q+XVfsz3EhC0iqJwanP+79wb +/dBOcl5/NZZCkiR3qe39foin/bg7kkjhS3nokbIP/WC5/mOknkHBb87d/rOz +2Si4vnt+aRmFNY4drfvmseGl6932rZxCV/HcD1oL2VAZ0zVXe0JBb19Qkag8 +G49f1JgnP6MgkXYo8KY6GzYTt6/sraRwc/WiRW9M2Vh7a99du2oKphfMJXMs +2OB/yTY5W0OBr+ESX4w1G4Oa/6Ve+kDmf3ai3+YgG1fEK5FbR0HtyceiAVc2 +9PeHuzQ0kf0wit09N5oNK6V6wYftFNxS3mrz4ti4+c5/aVoHBfnB3+s7E9g4 +alTTHtNJIST25KLsm2y8CyqGE0XB5JMxe+t9NtZLv0wf76HQ4SB40b6aDcev +s70zGXIeiredNaxjo1QgJNWdQ0FbxOOoWhMbtd0RR7YMUMjM7d7NbWNjW2r3 +88pBCidHny+K5LAh4DdSUzFMYTLA+3GhGA3l3zs4m8cplI80zg2WpMHK7brU +Suxpr+axV5pGp0VGy3kuhWF9au3EQhqcMueQggkKPRL6DzVVaPj5tMwR/Enh +dkCqlJQaDbaUr+pV4gMjE66UOo20Yd7wsl8Umpty1YI20+itdAleN0nhv5TZ +ue8MaMSuTn2zbYpCqISL2PWdNPRmhO8oI9YNeH3MxZRGRNNfbuumKTw54qks +aU1jSPhDzyy+LuSrdGRaOJH3BcpuGyY+kbJRcMVxGsytnytXzOiCikSsw/hJ +GtUqz/tsiDOGdZYnn6Ux8PTclyfEiSXZtzuDaeSn+Hw8x98FC5UZ0/nhNNT9 +tR3SiaVSbA8GXqbhs1bwbTXxJX/JJYpXaQjYyoosIXlKf9jZbyyJhmHTxr4d +xPxHXrb/m0Ljnkp/0nFiPz2PlGMZND7svnm2kFijpOaHRhZZv1H3tCZirrLS +vpm5NNQWe9weI3af2bogv5CGcES2zHrBLqj5r/O6UEzjnGdOjBkx/fXyJ7Ny +Ggrb/FpPEts3aiV+f0ljMFSDnU68TC957M0bGm4xEzkVxB3Fo5ZJ/9HQ8ViN +RuJk5V1FR2tovG37N4smtrqeOUejnobxu7yu38RzZk6dFv9IY9O1qkFpoS7U ++tk0tLfQWCkkVb2C2OiweFwARSPao+i3AbFQo8Pwni80cku/mlsTV+54ZqrA +pvGPwozzjsQBxTL53zjk+7d+dj9NvE35lOSbrzR6mCMa/sS85PcnE7/RKPWI ++hhO/FhcscaZS8PG20DnCvFpP79VW37SuPMj4MJ14jVfmyPFpmjwma+MTSOu +EKn+vJqfgT//cHcWsYHCSyULYQYPPM7X5xE3bi0+6ynO4HnHA9uHxIf25lam +SDFQ5/kGFhIPut6e/WIOgyn+ep1HxOfDEw5+kWHQ9fRa6p/fBdMj7ossZnD4 +2KukP/+Pqwj4uWoZA5nqbar3ieU+ehiZKTKoXs39J5v43tCxpLPKDG4d6Fqe +TrxB5GBv8ioGhtmc8D/f/0rect0zdQaK3UKX4ohNtxoFdq9ncPqIomIYcZvl +9lqhLQxOCmzc50Ps7LpOTlWTwUWl1aquxN/ClF1MtRkcy59KPPhnfdPkys7o +MbARuHXTlFi8Qlr4mhGDhXMmt28nTmoS3vvEhIG2yWwfVWLFoV/plBkDzXu1 +ZjLEBcKjwwJWDBLT1Sr5iDXl+7er7GMwtEW+liHnYa9lfeupIwx+sjKKS4m7 +Tv6rnOjEQCJS/spNYtewinPlxxkskpAWCSQOK8+U5j/DQDB6daXun/PUdP2Q +kieDPGsTkeXEqYMxD3b6MNgQ/bp/mpz30mXexleDGDxNyTpbSqyn4XatNIzB +YzcxxSvE9RYOfe2RDApzHp34c5/o0N0XV1xlELmgpno+8aJBhfLiO2S/s3ve +2pH7mSW0QKQtm4Ffm6ahGvG6ZRJWU3kMAh82HvlB7vsuC+6IwWMGDf3FTrHE +fmVVKp/fMPB5kXwvl+QP0cYXnpP/kfUOFf/lSpww8PiN/AeyXzPq2OrED5be +Pny8mUGTa7X8IZKPWCEeyT/7GOjsn9LU/E3yr7mc6BIRDjiqV0+c4lEYf8sN +/CnOwZfgzthmki9zNRt+tEhxsFnlb4MtxHNVwgbiZTg4ccLoOJfk2/6p4VpR +JQ7O19CXrb5TuHz/deKYHgevgh/a3h4i4y9PlWo04qCtszyvk+TzsWvnwx+a +cMDOjo+TJT4YvNrbZS8H9vu3y0SSevC37bUDXQ4cKCwOnW/KpvBJ5IRiTRAH +N9mjwvZdZHx//Zs5YRwcaFfL9ib1Rvv7svnhkRww41WdMSwKOayPwrrxHDSP +jko9IvXKr1iLU5rOAbXySFj7ZwrLHeYU3nnJwYjDfF5FPQXX5+VavlMc6B9T +DX7wnMK3dvWsPP4BDOT62xwk9dbzx13JDuEBhEppHZJ4SiFgQ3yH5qwBBIgH +iB8m9Tom18VnatkALF/4t/UVkX4iaXHJRZ0B+AnIlJ24R+br5r/6UsgAzNKW +HHQg/cH5qO8JZZcGILd7q8uTaFLPco5P0lEDeN0eXjqb9BNCfVbVxokDpH4U +LSi6REFm/5rjM7MGkB7nO/npIoXNhlRmzLsBvLTzr7nhQcFnmY5covggfGSX +Hl5iRUHMrnW4UGoQnpJJ48qk/0lOOf26ds4gpvXbueqkPyqZn+EiungQv38o +YctuMt+ZAuW+qwZJHnSe+EufggvvjZW9ySD26bjGxG+gYNtgFKseM4gQDblK +P2kKGsFm/FXSQ4g5L6rd/pqFEblavrT5Q5Cu2HHhzCsW7pXsmj4nOwTVrN1Z +Ii9YkOEYTCooDOHyHOv8VRUsjJlt53r/PYRzOtJltgUsFCxV5fy1ZwiKZtG6 +VjdZUKoQaIyIIuMtsa17eYaFuaMl6cYiX2EkPTg/mfTHtRYidIj0MBbNk3in +o9UJi0MtHkJCI5iK44bq7e1AkszwRHPACOTo8hcF1u2oeue7R1BgFCcvexR+ +XtWGmVNFAv8EjOKVcsPSpBmt0Fxz5LKY4DfMzjCwCc9rge+XcveuwG+Yed0q +QuTAJ8xNsf6s9+sb9qrmRGQKNuPGzmPzRAK/o/Di45LGC034O3Dlg6+/vqOl +OnD9K8FGlDy0kd0QNIbs8Pd5Ndb1SOz6ICYiPI5K7mWpwk0fcDFp2Ho6cBwu +FmvNghvew84gzMtKmAu+/X+/cRz9F4a+/43VB3GRpunex5WvRGShKbd1kgvW +r0vaQ/ZP8azbuFr74gRYe8Uu3D1chN9JI5M1kxPICYi7YT6diTdqqtljUxMQ +Fpm+0vIgE5GVDuZyM3iQeba12vhAJhZ+/XT3hBAPj3b19H8ru4N1+s9MxaV4 +eG6j1299OgPHvkekGS7jYSfb9fezp7fRtEdRr1KHh5KTbqdcLBKR0nfgK7OD +R/Kuu8nR3AQc9k1KljbgoTn3dPxW/gR8zRIbOryTB9n98nMdC+MhOjWcOG3B +w7Nw466XknHQuv+UrenIQ5W5ke5y/1AI6XKvODrzoGulmdGiHIKaFnXNqGM8 +/GWXcXZzYxD2CdyJaz/JQ2eeYcP4ykCctY3Q8DnHw8zgfQKN8eewdaTyS7oX +DwFuxXLtPWcwI2wy+r03D1sUe69sWncKMYXuPQsDeLDc8Sn07S0nWBnmRGkH +kvm1+OUf3XIYcp09m44F8XCi3KHb6o4Ves7IdceG8KChVxaplaWPHFHry6Vh +PKyPT2O/kHXS+h9iObzL + "]]}, + Annotation[#, "Charting`Private`Tag$37281#1"]& ]}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{8.95455994897959, 0.37500000000005684`}, { + 3.944840409303879, 0.375}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.5328899165006784`}, {0., 0.5006953511620791}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {142.92733997831488, -86.14928426334575}, + ImageScaled[{0.5, 0.5}], {267.84937809231235, 164.09387478732523}], + InsetBox[ + GraphicsBox[{{}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{13.414859693877553`, 0.375}, {3.944840409303879, 0.375}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.5328899165006784`}, {0., 0.}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {431.01216980739355, -86.14928426334575}, + ImageScaled[{0.5, 0.5}], {272.30967783721024, 164.09387478732523}]}, {}}, + ImageSize->{ + UpTo[540], + UpTo[167]}, + PlotRange->{{0, 576.1696596581573}, {-172.2985685266915, 0}}, + PlotRangePadding->{6, 5}]], "Output", + CellChangeTimes->{ + 3.826008397009801*^9, 3.826008507422884*^9, 3.826008595888225*^9, + 3.826009193863812*^9, 3.826012726730015*^9, 3.826013341824439*^9, + 3.826013509209543*^9, 3.826013733276763*^9, 3.826013854006781*^9, + 3.8261032904383802`*^9, 3.8261033958065767`*^9, 3.826103478012329*^9, + 3.826188173469372*^9, 3.826190265424716*^9, 3.82619261989212*^9, + 3.8261953453066387`*^9, 3.8261957306693487`*^9, 3.826195933693584*^9, { + 3.826703008871719*^9, 3.826703019444212*^9}, 3.827311989617463*^9, + 3.827312057868156*^9, 3.8273125117881947`*^9, 3.827404073713768*^9}, + CellLabel-> + "Out[150]=",ExpressionUUID->"27a9c152-8a0d-4899-aa74-6a603c9665b9"] +}, Open ]], + +Cell[BoxData[{ + RowBox[{ + RowBox[{"h5", "=", + RowBox[{"h", "[", "6", "]"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"F5", "=", + RowBox[{"RF", "[", "6", "]"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"eq5", "=", + RowBox[{ + RowBox[{"eq", "[", + RowBox[{"F5", ",", "h5"}], "]"}], "[", "10", "]"}]}], ";"}]}], "Input", + CellChangeTimes->{ + 3.817563268660089*^9, {3.817563829122241*^9, 3.817563846550528*^9}, { + 3.817563950998456*^9, 3.817563956525237*^9}, {3.8175645239988813`*^9, + 3.817564534320574*^9}, {3.81756485534698*^9, 3.817564862343175*^9}, { + 3.817564919676697*^9, 3.8175649235785027`*^9}, {3.817565106996109*^9, + 3.8175651474217367`*^9}, {3.8175652415905113`*^9, 3.817565250029232*^9}, { + 3.8175657444559927`*^9, 3.8175657689660788`*^9}, 3.8175669120549498`*^9, { + 3.8175677716518087`*^9, 3.817567773706285*^9}, {3.817579700926876*^9, + 3.817579701354711*^9}, {3.8175810533593073`*^9, 3.817581114447541*^9}, { + 3.817581149854197*^9, 3.8175811499220247`*^9}, {3.817581265163169*^9, + 3.81758126542041*^9}, {3.81758144220247*^9, 3.8175814490334673`*^9}, { + 3.8175815152710047`*^9, 3.817581521148234*^9}, {3.817581635837187*^9, + 3.817581700879589*^9}, {3.817581767691791*^9, 3.817581768673394*^9}, { + 3.8175821842992363`*^9, 3.8175821844066353`*^9}, {3.817582286431714*^9, + 3.817582297101211*^9}, {3.817582488847374*^9, 3.817582488974349*^9}, { + 3.817582803954041*^9, 3.817582804222094*^9}, {3.817618756754203*^9, + 3.817618757439868*^9}, {3.81761900296082*^9, 3.817619003035212*^9}, { + 3.8176203963382673`*^9, 3.817620396528458*^9}, {3.817626242723531*^9, + 3.817626282042306*^9}, {3.81762924164756*^9, 3.8176292443562737`*^9}, { + 3.8176636404765043`*^9, 3.817663648770928*^9}, {3.817666003825204*^9, + 3.8176660163975077`*^9}, 3.825758657266858*^9, 3.8257634297123632`*^9, { + 3.8257637382216587`*^9, 3.825763741294034*^9}, {3.825764046315646*^9, + 3.8257640768120003`*^9}, {3.826007441657895*^9, 3.8260074468257313`*^9}, + 3.826007758136524*^9, {3.826013359537168*^9, 3.826013366921255*^9}, { + 3.826013463378932*^9, 3.826013482235341*^9}, {3.826013523932184*^9, + 3.826013538876165*^9}, {3.8260137524801292`*^9, 3.826013770240328*^9}, { + 3.8260145556068563`*^9, 3.8260145653027573`*^9}, {3.8261032675908937`*^9, + 3.826103272294738*^9}, {3.826103503187251*^9, 3.826103521043295*^9}, { + 3.826103566388569*^9, 3.826103569900388*^9}, {3.826103672302701*^9, + 3.826103676758366*^9}, {3.826104054133417*^9, 3.8261040779175243`*^9}, { + 3.8261908983768272`*^9, 3.82619091587292*^9}, {3.826191293544044*^9, + 3.826191296719756*^9}, {3.826191394929854*^9, 3.826191405633768*^9}, { + 3.8267030380098257`*^9, 3.826703048977887*^9}, {3.826703414673655*^9, + 3.826703423880631*^9}}, + CellLabel-> + "In[147]:=",ExpressionUUID->"1282028e-7a8e-46e3-bc91-b35b1d1604ed"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"sol5", "=", + RowBox[{"newSol", "[", + RowBox[{"eq5", ",", "sol4", ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "6", "]"}], ",", + RowBox[{"FC", "[", "6", "]"}]}], "}"}], ",", "0.000001"}], + "]"}]}]], "Input", + CellChangeTimes->{{3.8175612726329412`*^9, 3.81756128486736*^9}, { + 3.8175614038617268`*^9, 3.817561415404965*^9}, {3.817561511096093*^9, + 3.817561563944231*^9}, {3.81756250196518*^9, 3.817562507914916*^9}, { + 3.817562967760625*^9, 3.81756298304041*^9}, 3.817563161460335*^9, { + 3.817563206558021*^9, 3.81756320676147*^9}, {3.817563530710863*^9, + 3.817563550054001*^9}, {3.817563775700533*^9, 3.817563804069632*^9}, { + 3.817563971222761*^9, 3.817564086350409*^9}, {3.817564155680212*^9, + 3.8175641623358994`*^9}, {3.81756424029494*^9, 3.817564240399859*^9}, { + 3.8175645416987743`*^9, 3.817564542202907*^9}, {3.817564715061411*^9, + 3.817564723202471*^9}, {3.8175648450855713`*^9, 3.817564883921851*^9}, { + 3.8175650025642157`*^9, 3.817565074155829*^9}, {3.817565217921039*^9, + 3.817565230520749*^9}, {3.817565359356901*^9, 3.8175654247402163`*^9}, { + 3.817565602697175*^9, 3.817565635407323*^9}, {3.817566059389201*^9, + 3.817566077942937*^9}, {3.817566269837482*^9, 3.817566273547044*^9}, { + 3.8175663066250553`*^9, 3.817566306784181*^9}, {3.817566684914805*^9, + 3.81756668549652*^9}, {3.817566919102108*^9, 3.817566934549343*^9}, { + 3.8175696638331223`*^9, 3.817569664744486*^9}, {3.817579706169273*^9, + 3.8175797767735577`*^9}, {3.817581067506674*^9, 3.8175810689721537`*^9}, { + 3.817581121371869*^9, 3.817581169115347*^9}, {3.817581207766066*^9, + 3.817581270669099*^9}, 3.817581309702499*^9, {3.817581355857291*^9, + 3.817581356026667*^9}, {3.817581392130506*^9, 3.817581416424316*^9}, { + 3.817581457365512*^9, 3.8175814943565397`*^9}, {3.81758152586852*^9, + 3.817581526654297*^9}, {3.8175819155874557`*^9, 3.81758195123713*^9}, { + 3.8175820720836487`*^9, 3.817582073079625*^9}, {3.817582192281794*^9, + 3.8175821927535973`*^9}, {3.8175824979646*^9, 3.817582531058486*^9}, { + 3.817582601242318*^9, 3.817582616669943*^9}, {3.817582763042087*^9, + 3.817582823261053*^9}, {3.817582997786705*^9, 3.817583024595161*^9}, { + 3.817584829987904*^9, 3.817584859074748*^9}, {3.81758494165969*^9, + 3.81758496226119*^9}, {3.81758499940244*^9, 3.8175849995669928`*^9}, { + 3.817585077390765*^9, 3.817585077573927*^9}, {3.817585156651001*^9, + 3.817585156823139*^9}, {3.817585322721836*^9, 3.817585349348461*^9}, { + 3.817585456385895*^9, 3.817585457280986*^9}, {3.817585513558703*^9, + 3.8175855137401114`*^9}, {3.817613675501788*^9, 3.817613676578967*^9}, { + 3.8176168804169617`*^9, 3.81761688926372*^9}, {3.817618774003889*^9, + 3.817618793385603*^9}, {3.8176190151288853`*^9, 3.817619038205636*^9}, + 3.8176190698677187`*^9, {3.817619141079945*^9, 3.8176191871342373`*^9}, { + 3.817619234638775*^9, 3.817619240400311*^9}, {3.817619299848545*^9, + 3.817619332922262*^9}, {3.817619399549685*^9, 3.817619401809965*^9}, { + 3.8176196502657223`*^9, 3.817619664950913*^9}, {3.817619740359915*^9, + 3.8176197551387*^9}, {3.81761980328899*^9, 3.8176198034943733`*^9}, { + 3.817620410694891*^9, 3.817620463869529*^9}, {3.817620674916114*^9, + 3.817620678055534*^9}, {3.817620745057685*^9, 3.817620761178657*^9}, { + 3.817626286376536*^9, 3.8176263645243196`*^9}, {3.817629112637333*^9, + 3.817629115136323*^9}, {3.817629250682312*^9, 3.817629259447815*^9}, { + 3.8176294333109083`*^9, 3.817629436163623*^9}, {3.817641032808353*^9, + 3.817641033101226*^9}, {3.817664188948728*^9, 3.817664189649652*^9}, { + 3.817664815999873*^9, 3.817664819955031*^9}, {3.817665075387652*^9, + 3.8176650759521837`*^9}, {3.817665115247237*^9, 3.817665115392807*^9}, { + 3.817665186844384*^9, 3.817665187022648*^9}, {3.817665325401506*^9, + 3.8176653256436853`*^9}, {3.817665620012444*^9, 3.8176656289311333`*^9}, { + 3.817666022150625*^9, 3.817666032733485*^9}, {3.817666540959165*^9, + 3.817666542789474*^9}, {3.825763749599124*^9, 3.825763789470828*^9}, { + 3.82576405360496*^9, 3.825764054939633*^9}, {3.826007455858286*^9, + 3.8260074763785057`*^9}, {3.8260077526573877`*^9, + 3.8260077642405243`*^9}, {3.826012574971777*^9, 3.826012607731414*^9}, { + 3.826012638420402*^9, 3.826012656916271*^9}, {3.826013377866149*^9, + 3.826013381529332*^9}, {3.8260134248909807`*^9, 3.8260134250580482`*^9}, { + 3.826013471603549*^9, 3.826013479731104*^9}, {3.826013543044566*^9, + 3.8260135505164967`*^9}, 3.826013585221402*^9, {3.826013705360456*^9, + 3.8260137090393047`*^9}, {3.82601377538453*^9, 3.826013782872631*^9}, { + 3.8260145728315573`*^9, 3.8260145779189243`*^9}, {3.8261032795910177`*^9, + 3.826103283751144*^9}, {3.8261035238675623`*^9, 3.826103539139773*^9}, { + 3.8261035747093287`*^9, 3.826103574876492*^9}, {3.826103679383299*^9, + 3.826103679470213*^9}, {3.8261038876903133`*^9, 3.826103887882242*^9}, { + 3.8261040651497297`*^9, 3.826104085989841*^9}, {3.826190912297326*^9, + 3.8261909125707493`*^9}, {3.8261911181886253`*^9, 3.826191143092989*^9}, { + 3.826191299784459*^9, 3.8261912998798037`*^9}, {3.8261914097708397`*^9, + 3.82619140994584*^9}, {3.8267030511377697`*^9, 3.826703053721754*^9}, { + 3.826703428609734*^9, 3.826703431520741*^9}, {3.8267035260747557`*^9, + 3.826703526234421*^9}, 3.826703568659841*^9}, + CellLabel-> + "In[153]:=",ExpressionUUID->"83c6d43c-fed0-4989-a06f-986a75bf7651"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "lstol", + "\"The line search decreased the step size to within tolerance specified \ +by AccuracyGoal and PrecisionGoal but was unable to find a sufficient \ +decrease in the merit function. You may need more than \ +\\!\\(\\*RowBox[{\\\"MachinePrecision\\\"}]\\) digits of working precision to \ +meet these tolerances.\"", 2, 153, 75, 31541032628960424008, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{{3.826703559916287*^9, 3.826703574380657*^9}, + 3.826703634422653*^9}, + CellLabel-> + "During evaluation of \ +In[153]:=",ExpressionUUID->"f850765e-bd6e-4983-ab5b-d0a4594f5e4f"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{ + RowBox[{"\[Theta]c", "\[Rule]", "2.055850298751805`"}], ",", + RowBox[{"A", "\[Rule]", + RowBox[{"-", "0.0005132168850579809`"}]}], ",", + RowBox[{"A2", "\[Rule]", + RowBox[{"-", "0.0059545796795344155`"}]}], ",", + RowBox[{ + RowBox[{"FC", "[", "0", "]"}], "\[Rule]", + RowBox[{"-", "0.8778395780268973`"}]}], ",", + RowBox[{"d", "\[Rule]", "2.471926260508227`"}], ",", + RowBox[{ + RowBox[{"FC", "[", "1", "]"}], "\[Rule]", + RowBox[{"-", "0.6173039388340883`"}]}], ",", + RowBox[{ + RowBox[{"FC", "[", "2", "]"}], "\[Rule]", "2.032369122909977`"}], ",", + RowBox[{ + RowBox[{"gC", "[", "1", "]"}], "\[Rule]", "0.2246550717782642`"}], ",", + RowBox[{ + RowBox[{"gC", "[", "2", "]"}], "\[Rule]", "0.010872176213105727`"}], ",", + + RowBox[{ + RowBox[{"gC", "[", "3", "]"}], "\[Rule]", + RowBox[{"-", "0.001202094580551181`"}]}], ",", + RowBox[{ + RowBox[{"FC", "[", "3", "]"}], "\[Rule]", "0.5602054796199529`"}], ",", + RowBox[{ + RowBox[{"gC", "[", "4", "]"}], "\[Rule]", "0.000010632139015783088`"}], + ",", + RowBox[{ + RowBox[{"gC", "[", "5", "]"}], "\[Rule]", + RowBox[{"-", "2.828031481357532`*^-7"}]}], ",", + RowBox[{ + RowBox[{"FC", "[", "4", "]"}], "\[Rule]", + RowBox[{"-", "0.12712247274168165`"}]}], ",", + RowBox[{ + RowBox[{"FC", "[", "5", "]"}], "\[Rule]", + RowBox[{"-", "0.01908038090865328`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "6", "]"}], "\[Rule]", "7.401881123931035`*^-9"}], ",", + RowBox[{ + RowBox[{"FC", "[", "6", "]"}], "\[Rule]", "0.0013543859914913186`"}]}], + "}"}]], "Output", + CellChangeTimes->{{3.825763769229417*^9, 3.825763862906001*^9}, { + 3.825763893981986*^9, 3.825763937705072*^9}, {3.825764027795516*^9, + 3.825764084811095*^9}, {3.826007456702271*^9, 3.8260075356923723`*^9}, { + 3.826007761819284*^9, 3.826007768458026*^9}, {3.826009171638761*^9, + 3.826009184136553*^9}, 3.826012608015576*^9, {3.8260126389518557`*^9, + 3.826012684498214*^9}, {3.826013381873271*^9, 3.82601348293191*^9}, { + 3.826013551706695*^9, 3.826013712266746*^9}, {3.826013826844092*^9, + 3.8260138293827477`*^9}, {3.826014578574484*^9, 3.8260146184334*^9}, { + 3.826014652329228*^9, 3.826014747250167*^9}, {3.8261032853124943`*^9, + 3.826103288199881*^9}, {3.826103338908792*^9, 3.826103476722625*^9}, { + 3.826103540721582*^9, 3.826103629625214*^9}, 3.826103670356509*^9, + 3.8261037792066097`*^9, {3.8261038612398777`*^9, 3.826103907602298*^9}, { + 3.826104019255662*^9, 3.826104105743857*^9}, 3.826104165742915*^9, + 3.8261881997253447`*^9, 3.82619028498665*^9, 3.8261904042146997`*^9, + 3.826190563364856*^9, {3.826190979215939*^9, 3.826191002073998*^9}, { + 3.826191052329878*^9, 3.826191083109694*^9}, {3.82619111595851*^9, + 3.8261911316457853`*^9}, {3.826191271062118*^9, 3.826191350454123*^9}, { + 3.826191389080264*^9, 3.826191417909257*^9}, 3.826192634234933*^9, + 3.826703113885244*^9, {3.8267032442432013`*^9, 3.826703259324793*^9}, + 3.82670337472445*^9, {3.826703406045004*^9, 3.8267034133054*^9}, + 3.8267035238781023`*^9, {3.826703559929484*^9, 3.826703574393321*^9}, + 3.8267036344354277`*^9}, + CellLabel-> + "Out[153]=",ExpressionUUID->"867e56b6-68c5-449e-9999-5d28dbd56383"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"GraphicsRow", "[", + RowBox[{"{", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{"h5", "[", "\[Theta]", "]"}], "/.", "sol5"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol5"}]}], "}"}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"F5", "[", "\[Theta]", "]"}], "/.", + RowBox[{"B", "\[Rule]", + RowBox[{"ruleB", "[", "h5", "]"}]}]}], "/.", "sol5"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol5"}]}], "}"}]}], "]"}]}], + "\[IndentingNewLine]", "}"}], "]"}]], "Input", + CellChangeTimes->{{3.8175672854849167`*^9, 3.8175673108365*^9}, { + 3.817567343605356*^9, 3.817567515945986*^9}, {3.817567689779602*^9, + 3.8175677001061993`*^9}, {3.817567852209393*^9, 3.8175678553653107`*^9}, { + 3.817569677608418*^9, 3.8175696880410147`*^9}, {3.817581502775428*^9, + 3.817581583359663*^9}, {3.817582250277421*^9, 3.817582268443882*^9}, { + 3.8176137509420633`*^9, 3.817613772032806*^9}, {3.817616947220008*^9, + 3.817616967115974*^9}, {3.8176195353257837`*^9, 3.817619546043696*^9}, { + 3.817627764775979*^9, 3.8176278238158283`*^9}, {3.818229824671139*^9, + 3.818229831606958*^9}, {3.818233166561644*^9, 3.81823316664911*^9}, + 3.8182444139503117`*^9, {3.826008373734087*^9, 3.826008396493952*^9}, { + 3.8260133301047697`*^9, 3.826013341448687*^9}, {3.8260134958356*^9, + 3.826013508779696*^9}, {3.8260137167995996`*^9, 3.8260137321035547`*^9}, { + 3.826013841697954*^9, 3.826013853521943*^9}, {3.826104177775592*^9, + 3.8261042003198147`*^9}}, + CellLabel-> + "In[281]:=",ExpressionUUID->"9903c113-3088-4e43-884e-783e3462a3bd"], + +Cell[BoxData[ + GraphicsBox[{{}, {InsetBox[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwV13k4VPsfB3BKFOpekoRUbkVRtGjFW5SJFkvZhbJkyRJxQ9aKiEiLikq0 +2C6SkFCI5mihxRaVMDNnjC0ZZOv3/f11ntfznJnz+c75bLPimLep8ywBAQER +QQGB/1+74rQz3nGPaK8c6l6XLbtXW6NZiZXosxN6buseucivRmlCnISZzz5M +1OyZ0JDfgsC+SqWtPjZIizMVlJfXxxfZ1o3KPh6QkegKmitvDtFCp9LlPsFI +GetO6JFzQfr02kl5n4uITJ2adJMLgNc/l+TlfFKglj1LN3ZJFDwUmozOJeei +I0Um6N3MdRRMJ5qYaT1Fsxs7dFD0HoZ0WcKi4uWYFFKTVfV+iKUK1eztJVVw +v53+3XJrLj4fjMizXlOLPvMOm+OvCpDYxpoxYzHBvni1Q+LmE+QZrVjUlfAW +2WtuX1MwKcbXwLd/WU82wMuJV1BUX4p5YZcMzFs/IIJruDHR5TlUU7xC/K98 +wq5kST2l6goIrNsh9XVPEy4IXg8JmX6BFg/LwQ1LW+B33qfysHIVis/llU99 +boXHimXLz22oxg1Di/dFj7/AY+spIQfdGqhE8XSfnu/AIvXVPyO0X6EupSRL +Zcc32Omlp1XK1mKTmkf263md6Dwg1eU9XovoEOnAInYndtlNHnEuroOtIo+7 +uPkHPnro3GjweQ3RSI24ZVVdUDL0/4KFTJS/T1E6ltqNLMY9syvJTBjMTxJf +ktaNo51WSo9uMtG878LPhoxuSD0MjH+WwsQg89RzrZxuOLwYX/TlLhOKNQeM +lpR1o9B5p4RoJhMxJX8CGlu60ckXCl5VyoR5mmOd9sIe3Hym57m3hXz+pIqz +XGwP7gV5Wm2QoKC+XHjLlfge2Mt1738jScHnfaew2OUeCFECo45SFIbXXs+c +SO7B/cUnXC8vpjDaLdDX9qAHmyVjmB1LKUybNfveqOpB1am/DTXWUhDbERG+ +6De5fyXvF28Xhf20jUn8VA/KdVx22upRiLu+RXGOAAt3Ahgb3+ymsOAXr2ZE +mAXxbr91DxgUJHPNRT5LsVCfPHHI4ACFJQqql5LUWXB06tcwtaSgNKsl5S9X +FmYE6wecPCkcjv532t+DBc6Wg/b3vSiEi8vYd3ixMD61L6rLm0KrtJVilj8L +ig5jo9a+FGJU2jN1z7KQ5dF9RPNfCrzD35/632FBpa9SpiqcQv4jTkP7ZxZi +KtljjUkUOlQvbNBtZUG9Qb6DfYXC3ELlK5ntLEjP9PhMXqXgUO5m7t/FgliR +V87yZAoSH3gdC4ZYWGqnaW+TQsFvYpC7S4wNsWSXG5czKGw9MD47cxcbyWrS +wgJPKFT+u0LHcg8blZ+XJfwh3p1ueGauARvzOR5R00UUjMdSR1yN2VjR2FY5 +UkzB/d4u1hp7Nsbm+Ro3llFI5cfW5ZxhIyiuompnNQXF5UWzbMPZmNt1V1Kx +hkKm4Vdt8XNsGHjOvBN+ReHpXbWSExfZsIrVPvumlsJ7g8+P1t1iY1WS2o9d +FAWBO0tj8kvI84/+1uhqoBDF1K+1f85GMOOgZH4jBfFf3oJ/v2CD98nSLOgD +eT97qwN96thwVr+9QPwThY3DLu4bmtiY9w+DId9MwUm/YN+TYTak/XVSB9sp +UAO6C0rWceAeWrXOgU1BKMZ4i/IGDn7bT+8cJNb+x87u5mYOvrO2fz/DoVBo +EZgXvJMDzrGh7is0Oe/L/IM6BhzYlP/qLOil4JUkn0A5cbAn0zL04QA5r+ra +kh2uHKTvuFGrMEihu27r9xwPDiTD6u5cI7acNFW75MvB13trhcOGKOxyimkw +DeeghPc4Q2eYgtSW0b86UjhYV1Q1EMqncLBx9rYDdznInmBpdRLHuEs4VKZz +sEiMI6czSmHmjmpBWhYHLQufn50k5og4GjuXcKB3bd+0wzh5H+k+p5vLODg1 +MVpRTGyrGZrGqOTAT3dUTOw3hUafm0NrajmQFVM1yicua2tIHPjIgVboIk/2 +BIURv6+l9s0chIwJXFGfpLB+Aa+zsY2D8KCS3YHEGbrCG550cuC0pcpQeIrU +V47mh38HOLCtodsXTFOo22P4m/7Jwf66d9YHiAU7LVZY8zm4KM53jCUOkPI7 +qTlF4hXWlxKYoWAfkiUhKEojeOcVThvxSDmkyufTkH4p1PP3HwoXppqk/5Wg +YTRyV0mfuCB4lny/DA27MKuzOcS7n99QyJSnkfdj4lY7cdvE+hWOy2mkib4d +nydQj1lBNqvblGhUvp8ddZT4+rOfyldVaDQF9RfFEq/9Ha1ipEYj4K/5awqJ +D50uUq/dQkNbfuT7JDFdYrgpfAd5fo62ooJgPc6MdWrs1Kbxyrg2U5v4fsD8 +nY/30PBaFB8RRLytOEPrhAENKVOTT9eI3/G36ygdoDH13cI1n/iYRqNulzEN +YeNjOq+JR0+57Ll9mIbg5o02X4lji6YYlpY07inElP4kVhhJMlxoSyMuQ9lS +aFY9CjetOfDenoatxcfti4gZfi+MYhxp5DQwjqwk7ig0M919nIZIhmH1BmKf +Yd7hP+405rulumoRC22MtCjzomFZNmPEIL5xUsba35fGNfVNp42IVR/n2aoH +0Ihymew0I64a2m3PCyTxj8nEWhObq7cffRhCozfigN8R4l7vk05HI2i4plun +2hGH5osclz9PI3NccM7/vXDwtlvLBRoLV835z4Y4c/3mE0lxNHZSq65aEGt6 +1XsdSKQxGL2qzIS48T+Hk3Ov0lCbU6dgSOzUP+pXk0xDj82s0iEeV40PCE2h +UfphMF2DOP7EP4Hb79Jw9J6qUiZWzH0WPJJOw8W1QEGWuJhnFJr/kIb+8Xel +84gNVdjh7tk0Pi9elDhGft9v7mfOrsqjsU/J4H43sW+2ZFTnYxqM3Sr8d8Qi +vZkXUp7SaFEIiSwmVndripeooLHgc4BJJPGrTI/Ety9pyEmnJzkTW9GCV6Jf +0Yjt0fuLQRx5fP2N6Tfk/MLDz4SIpR+9ulXaQOPT2whOJ8mvbLb1bb9PNMxF +EoyeE39yjk7nfqGR0aj83p3Y9cHSB/e/0ZDv3NYD4qmeJ4/su2g8dXq3aSHx +SqfO3CYuDecfsaFFJP8DjpFtZ5zU042Y5z9IPY2evmboMUXiz5N6mEUckPDz +q5QAF1b9xa3exP7lWUKuIlzMvmy2aIzU5ylpWdMF0lxcSI1jDZH6HlENYJUs +4SJA4phoDvEpvY+njy7lQmXnaX9HYj+f2LtFK7koTA5e2kD6g2/9RJ/1Ji6W +m57Mu0z6yXCnebjQVi4CNb/PaBH7jhUuzNvBRTS75ApN+s/JlR47BHW5CHtU +GbON2Ce0PfqRMRcRN4vTasZIv91YrjjiycWDkmn9qBEKA3tlim+f5CKrOLla +mtjL/pQBw58L7BgOffCLgmecqs+tM1x8vT5TWkH66wl2aoXORS60Hs9XbSP9 +1/1WiGV8JheDjc1fnvdR6C1o423J5eLmWnGGOrH7a42wznwuatysh9J5FNxG ++h9sKuEicbHl70jS/10P2v1qq+Xit1XAt3VkPrjMwqXV3Vzouu6oXt9N4daF +sPmX2VywBOS0k7rIvFvwMm6Sy4WiyqX1Iz8oaMjtutg4ROJ19T7xpJPMo816 +F4JmuFh5ccR82TfSX50Zke+X9KJS8E1FbiuFZl604PalvVj8oOzEWAsFUV9m +eMbyXiiPGsbrEPuGGoSdVupFyuXLiu+bKOgm7zujqNGL6qGkG80fKXQyjQIC +jHuho3AoJvUtmTdGifzOQ70oO22o+f4Nhb1Njaf2WfRiZeWvIzP1ZB/5YeK3 +3K6X7BVpfVZkPodOHPKp9+hF/GHGxhkyv5eqWrorRJP4ON0ak5UUrBMc7Ooq +eiGiJdNam0+BLltTGlTVi2BZll5+Hsk39rCEWm0v7EN/NF7/j8JlrfO1yW97 +MZZ75oBDDgUmL0vVrb0X9R+Z9R0Pyb6y99eE2O9eZMmqpQffJvEKRiWbbOaB +O8d0jVEMhXRVo59ztvGQWahsMBVN9klLmX1lO3moi/sS+SiK7H/52TOKejxY +r+fojp+lcPZIg/OICQ8HCwwGI0NJPj6T2ZzszcMTueA6TT8KDb45jR3ZPBQ4 +Jn7RsaHw9wIradM8HmT3BZ98Y0XBNEvY9vVjHjSTI60Pk32w+ftRzuNSHiLq +VRWPmlH4tl9mJqqOh9Zd3yJdjEh+rj6vsqGLfJ/i7qPLyf4p3m4XdX5JH2Rd +txsbraFgoCepuf5CH6oDDYQSh5gIeHpeMuliH3z0J7VKBpi4r/Sb5l/qw7v0 +rIaOPiZmxDqvVVzrQ2Sn2YQil4miz/8N7s/oQ/Q5R9eUH0wouBhkeFT2YZXc ++rOaH5kYvhAumjXSB4vgC1e1C5lIeT/Q+s/RfuRzpQ9v9yT7O7s35oNTP+RM +GB017kxkT7N3hLn2w0vrqPN+VyZKVb+nfvHux6PiuEALR/J/ILbB4XJoP+IH +He+bWTHxN6OAnknpR0jXsbafu5k4/+LkeFtzPxJDDntnyjLhXTCyOHH/ALo/ +uc0VevkajDBp463Kg3inteTmhMBrGH9Uv7ZWbAjVfX8eqEnUIdSmZ8Y8aAi+ +Qj1tyyRrIVNtGmHGGUKCiL5n8kQNfn1qOpxw5CdaJpXP7s+uhnEH+z77zU/E +R4UkR5lUYSBBXD9Qbxj3x7+r+/q/wPjy/j9fS4chHfnG02lROc5l2mxxWP0L +7eVreA9LSmHS/q1i6e1fOPR1+sa51iKkCQ1VjYuNYB9jmdeg6GPYiJV/e3B6 +BCGvle1fmWbDoiJ1/6WBEaTrJAk3pN1Dk7PY1qu2fLAarBz5uUkw/RYeEmbH +x+we83rPY0loNB+tcXfgg1J6srV7cRLqGT+MdznxceT9Oe/ayMt4uabEfcCD +j+PKw7ZulonI7T92Z28wH39mZ9iFCcfhnH/ZnOmbfMRHC621yY/ErAG1/XQK +H185b++3LIlEmMuDpE+3+UhOqBY9dC4CQRaJy7Lv8SGZ0KbJsAqHz3aX7RZZ +fCymk88eEj4Dm2kJz8elfLhKVAuN/+eLVv/oJ6llfKgxVKL5kSdhPjD1O7qc +j4VmbStHLXxg/J0TZfeSj00b+pYICZ2AflVFmhiTD61cze2pucfwavsmzijF +R1X9XpEOcwfsKsxc1/WGjx3pz8WNZtlCM+NKWWkDH3OmXV8wc0xRJjdP8P4H +PnrZZSG2gvux9WooI+ETH8JNl04czdFFkfhIfFATH61mItv0czZi43m3z84t +fDLn1bUS1Uy1/wdMiV94 + "]]}, + Annotation[#, "Charting`Private`Tag$3726595#1"]& ]}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{13.82142857142857, 0.375}, {4.095234920676603, + 0.3749999999999716}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.3650873746369487`}, {0., 0.2031973136374916}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {143.0499767747441, -84.72370844417303}, + ImageScaled[{0.5, 0.5}], {268.0793220856171, 161.3784922746153}], + InsetBox[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwV13c8VW0cAHBEZWRlpYxklVcyMkp+aNijIiIjmUkpoygpWUnZVJQtJTIz +4j7mPUJpmBmpbO45l1wvKb3nPf+cz/dzn/OcZ/x+v+fcnS6XTrixMDExWTMz +Mf1//x6rk/tuxkGH6f/Luap+f5/cRLzvQWC6Zb8i23+ZUhMXy2ftawJMTNnf +BvoSKHse6w/sS7YCJrrSkVS+PErQPEVOw9cemE6IvS/tK6O4Zj55Iy57Fpgy +9Gvcv76h3Gu3/7Ez2RWYBA23B/K1UsoXtnHKsHgCU1CGdpZlJ+WL6ICKvK83 +MFkW5zzs+0hhPpJqpzB6EW6F4ieTk/ooyep79IRlLwPTO+yb/tchirwJe6/I +yBXQXdZf/Tg8Rql3mvYUTfYHJhSSYM83TrH0x35vNwkEppeGG3TuT1F+RBfE +i7FcA6ZvGVuDLOcoHOWuNZK+1yHLTnDjjb4FylPqYVMpuRAYS3eoENu1RFEe +khrbNXoTnFP0pbyTlin/hNHvbJW9DY0qh55s/rpGCeQaM0tmDgPJggwL27p1 +SmNqt7DgSBiMCQlEPx9mQlZFJUVCyeGg27n3qjQfK3q6/2lA2qUI4E1/3b2T +yoam0X0QMYmEffdq9ZdiN6HrPRc+b2OJhjHex+vClpwo58+etR2+92CM6UiG +Qh8fmo8SbXtiEgu6Nitzv//lR+r8HHHicvfhQ+4q1EgJoLeyM1KSow/AeUI9 +fz5RCK08O5nPJ5sAkq4tgsaj25GYjwnHp6QEKB1SOuRlIIb0VQ5fSmROhA9+ +qnWXa8VRbL2K1taRRBizV98tMSyJJD/yvRNITgbPGbPks7zS6Ggqu0ovcwrU +5M4IpUxLo/P2zGkpl1LA9iPfF+02GVQ5QXcWMkmFsQSzqel7csjgV/eSMMtD +aNd4d7nMXAFd3PVgx3bfdLCbp6/86lFGPUmPPwlNpYN66j/VP3xVkBbrs2h+ +xwzwvJU37cWjilgn0BK76RNQ+1TjZ26lhtILFrpW5DIhempHa+AfdTSe/EJn +7lI2zL/tv6T5ThsJvyvd5lWUDeqGy7KLiYeQMVv10uRkNug8vuBnaK+DXgW0 +vPjukAMZt9vud/wEFHxqWOiLSS4wm+nc4cvRQ3wi3ES7XD6U8JfIcSofRUcs +BTqOncsH8fL+rvbCoygwWjS/9Wk+jH/OUe3ZeQwNr8jaNwoWQOpfI8keYQNU +OAhY9YZn4DVw2uPqViOkk345s+BrIXy79fG7vpEZ8hbvtQhPewkCm+t/Wtqc +RKPHpWZ4u19CZrZwTW7OSXQi4lLYk43FkOL64GwUfhIdmGeveh1QDNeGdlgw +R1shjjod0ZmTJUDzr2dGTdaoZ4/VouzmUpDl9udysLRFftSG+nutZbD3pN7s +2qAD+sfZlf3EWBl0Zq7FO2s4oslVjlMiv8vg2LGzrtYpjshO0ZbIUy0H2Zmo +q8QJJ6SfvLiTklMOXhdbTK+cd0b8LnJR9FsVQFmi3ZxcPYtK/8Qftz5UBZ+6 +8ybKzd1Qm7m7dLxtFQz4iO40inBDXzIP/tvhVwXcLXYHpOvdEKv+ZIbuiypI +P9v9b+Eed2QbeXBaQfg1TOxK1pzn8EBMPJM3WRZew/T7gcRTA57IUvLgy1d5 +NZDzfaQls+ACcrvMGzqLasDSs8KtY+ICCm6eOC4zVAOxXPu9tGR8UJ5r/L+P ++WpBLSIifDzPB60UTuhH3qwF6nOb1IvPLqIs5fjBM7Z1EPPyreqzM76Irj+x +kYOrHv7qscxxR19BvZS/xUm766GrpNV2oeQKqjsgai1mUA8rabPFa71XULiK +Re6+sHqIGtRmiZb2Q9ukasFmpR5OGpv/udnih/SZ71/LG2+AfbhJxI/NASgF +qc3qNCBQD6AF+pZdRWLizZNa1U3AWnBNb/haCBoT/ebF0tYE5ur8HmcKQlCO +MBOt41MTbPYJiVv/HILk+XR+2uNNcO699XCh0k2kxlr3N0SmGSyNHLhTpm8i +49kykeakZlCjK0S57ruFrr3ONjb2bQGNXdVeR6puox7z2yV2u9ug8cmsoPVC +OIofnFi3nmiHYobr+di+WFRisVPwe1wX2Hx4tLZpNBGNBHXx2K11w+5Zpj+K +YWmIPfSB0amBj7C7m/XZmy1P0D/pF0MCkj6DlILJqzGbbMSkeEBg5GgvnPP4 +qS9lnof6vW0JZbF+uCr+4oNT3TP0Oryk/nfPADB7ccXwiRahh8Y27yvLvsC5 +7TP3/IgSpBA5p18VMQxmp7gZd3zKEDW9+rnCgVGIGQmVrLesQKpK3i8w9jGI +nQiItT5fhaJChIIqJ8dgQ07a+CuvanRGam5GuO8bRGfkuFx7XIs4wvbHSjR9 +B/U/z9upLW9Q/ft0OZeMH9CYsifpPrUBEZcV3LbHjIMOm7pkMY6QHEt/Oo/n +BGSEyl7butSINMxWNhTqTcK6fNrH1fEm9BbX565WnAKe7QcT2ceakVPIcz5m +jmkoCfUoEqe0oEAXcjdXpsG8qq3p6tNW5M4CD2R/zMAuNJNDd29DdnHOjtSG +WTAS/T1+YAsVTdftrglumoVNP+qbh3ioKHBykU+pbRbKipaIYH4qSjgU0ZbW +NQuby/+qVQpTUfvc83+8hmaBHrlqzi9FRRqGP39xrs5CEZ5Ju65ORQLMkWnH +1eaghs1Ndt2BirqvFH0YfjEHtV0mkdHPqIiX+7TQiZI5kJAsroh/TkUnnm88 +g5XNQRmXtUpaERX1fT07VVYzB3jDYcnMV1Q0aiqyHkmdg6nhXYWPq6kIl41Q +UP4+B03JnRWAURHXkGNkxLZ5kMcGtmpPUJF5IFfXrx3zMDx48gvXFBXF89Xx ++UrOg76d5sDQNDk+Q8EndnLzAJprgf7zVLS9qrNCaf88JNTf3x3/k4r2xGl+ +G7Sch7fejUW+zBgyOsyvvTd6HsIPYm4ftmMosCqCP/HePES1GEU7imEoT251 +mvFgHiSG277MimNonXMspSFlHi4ei+Va34mhyp5iwjR3Hso5A+9zy2NI3N0o +15syD1xLydb9qhhajL7F8XxpHjb+q3ibxRhDEms/x7hWyPnoO4tbm2DI1Mej +2ndtHlw9L3zKN8XQs+PmrposNCj2n76uZ4GhM6I7KBgPDfJnDChnrTBELaq+ +PLmHBjC+y+KoI4bS3+MDu87SQMtLgy/JF0NSk7N3P7rSQEOo6BzlMoZe/Jk8 +EOpJg1WnnbZTVzBU88/XjC+XaKC88a+USgCG+mK6nRNu0mBJdHBXURCGeA1K +p9fTaeBLi5nfHYahNMeXj15m0kClzWB87x1yfoGFxna5NDhdnOWjHI4hxfys +l1UvaDDynl1ZKRJDxhsSfC/U0qBQedZhSwyGItDllcE+GkhkSHidTMAQV7/P +86gvNChV5Pq7LxFDybiX3f5RGtRLCQtxJWEoR8ylPn6CBklTbi11yRhqvH7i +lsES+bzZwp/VNAz90lDdXMWHw6R0L8ffJxi6baFU6yKIw76OQPXKpxja7KFw +nncbDmHKeZ/cMzEknLqry1sShxWt67atWRhSW9oaL6WEA7fqhhDnXAxdKl0S +jjfFwXTqru6OQnK9NHor1y1weF1qWPaU9CSl6rjPSRwUtrMOij8n9+Nd4D1j +OxzMqFuMRV6Q851dWWf1xGGLUeVjoghDkZcH0/28cSi4m1Xk9BJDTSu1mt8v +4pDE23zhHWnNTdevoAAcCvN1f2cXY0hG+s9E0B3yfdfPayq9wpBz0UjYdCQO +qZy6FbGkM1QoEjYxOETTb/VPkebXCz2tloCDFTYqklaKIfN2p+WcZByG2g3V +5kjftdBN4nuIQ5Z4DUO7DENMjszv8Kc4nHfS9RgkrT3xzcshB4fuyXxB6XIM +Xb3QvLErH4ebBi/cL5DGg+/oPn+JA7uYPI1BeiiNrfJcHQ7yP2X85yswJCQx +afmpAQeLzyUS0pUYOlFApek24bAhfZPHadLtlVFy4u04jDU1ttWTZtX2bI3t +xOE+v8/QLGloMTy79h4H/N9bd4WqMPT6I3v6QC8OERevFrmTXrSd1TAYxEHk +br7YPdKKYx09VcPk+jZ8ki4m7elRdFl6DIdnOdKNXaTz8HvcST9wcBRqwmdI +fw24UMQ8hcOO+nevWF9jSPSPqaHvLLl+R31ZxEifClecGKXhYO/+fkKFdAIn +d5jZAtn+2ZbTx0h3JeLi9Us4RHactLchvVm0+82eFRy+6FHn3Egfzn5l+2gN +h5ayGPYrpG/KxzM2/cWBLZ9acZ103SvfxEAWAtzjMmfCSDPUjytNsBFgvHzg +RRTpfRTlrpPsBESfpyzdJX3hKL9XMxcB2doW7f+7sGuRTZmXgLhZfun/2/84 ++TkncysB9Jm9m/7vT3yoAriFCWB/1O4bTNrOJXn4higBDw3ZnH1Jp8z4B82J +EbA5iKPnHOkPvtZCdjsJKLX502lFmmtlf0W7NAEbnDYYHCZtECpkqSFPwDdM +74gS6eGiUIxQIOARw79JiPSVgWmdQiUC7rHzWKyR67uJ7cRrZ1UC1k1X54ZJ +Zyi/UdymQcANTrG0N6RVHKXzPx4g4E3pOYs00ljM/R0xOgSEer7e6vv//v5w +4lw7SsDd4zL1IqSjed+GVRgRELa29ek0GR9ih1R+eZsR8JJSEVVF2jCVdWbY +ioCs+CKfY6RHm32cU2wJmCV6PThI+xF9/WZnCPhldMqtk4zPp4bPqZRzBKS7 +/nE7QlotgF/nqgcBPReW3X+T8fw2+3qVkjcBKSKz7mWkl36Z5WVdIYBR7+bE +T/quXPX204HkeNgarSlkvohbSSbxBRNQ4lJ7zIO0UfHi7bDbBORp7hUoJfNt +dNB+9UAEATaj13EL0v4b23x/RhPQr7EFzZP5+tQpzck1ngCJsEwdMdJLfNqH +jmUScI3C8ug0mf8xOvmV6zkE8DDjG7+R9UHCm/uf6gICaPruLm6kjVvHROVL +CHA6kDPiStaXzMCIFfYGArRvdFB1yHqklotfam4kwEojM6yYrFcd3TZTwa0E +ULOMd20jvSS/p2+uk1wv407uqQKyv6H3Fe++EDCSvHLJIQ9DY5s0FSJHyf2V +Z1erIOthgFp2js53AkyjDvawkc6675fwaoaAg6lFednZZDyDyKWEFQK2fT7s +UUHWW8tP+1L2cNIh+D4WqvOQfD6r/9gUFx3EOy+CL1mvH1+8uZLLTYeScF7V +zFQynjm67MX46XBjpLZ8iazvgYc9pHi30WEtcuJXCHk+ZFQ+ecWQpcMLK+r0 +ZvL8aAo7crZcng5WOO/NLXfJemw5x39pDx1+Ce3X4onGkBJNM3BakQ69VnfE +OMjzp1mmR3tIjQ4OsTERI7cxNJXK0dGoT4cZjY3cv66R8e9Wdj3kCB0CCY20 +D1fJfFS1VTxwjA6nfyhq5gViKLg7P77CiPTb7w36/mT7zXo2BZZ0GC8cQmcu +kfEddHX8niMdnmalDm5wI/Pffnz9VDAd+CN2HRExx5CIIL7CcYMO3YeWOtLI +87zi/b+LlBA6sM/GeguQ5/20HueU7G06UEO7l1kNMXRcXqV7OYoO/QLF4i16 +GJJmhGamptChZ7jyd7kahjofbNftK6XDxfrlQ/YiGHI3lDkQU04HkVlBrxtC +ZH1nUVLTqaRDTMlC0mOB/+NdX76gmg4CWO7EO14y/uy9eAMpdAiQcnDhZSfz +Wb56TLCLDj4dvVysq1Qk0nzitvUUHbSU8u9m9VGR8/ssz70zdLidyiun1ENF +z77gFpvm6JCpZyde95GK1H/GiNfidHgUFiLU1kVFVtItb3Ys02FZroX3VTMV +xUWqLv9gXQDW8CmTT8VUtNFEwPuK1ALwtkQNm98mv99sXE6YSC+A4AGbVveb +VJRyrlRLWnYB3GQFJoOvU5H0DdPNfbsXgCfA43NaABXpFYfnaykvwPnFFa08 +Lyq6wcP4yqS7AP5dbfYbj1PRz8+9VnEOC3BVol5uZgf5/SciVG7otACFCjE2 +jdvI8Z45xcNylvz90axUshAVXRvve+vvugCWe03vKvNS0fpSv46d9wIkbmQJ +PbyBijiEvsjLBC3AxZ/XXVqm25CU7ejvumSyP9XLNYplbchyeDJvsnMB0p59 +JcI02pC4nzfR+m4B2PRNHkurtiEaO10rt3sBXKbk+Zr3tqEYjdX3Tp8XIFMm +35ku04ZaEzlXB74sgKtMgY+oQBvSNNpn1jlDtvdzC8olWpHE6yDGq02LoK3L +e+hObivC47iOBR1eJOsx8yHj9Rakwr80YH50ERxHeisXVsj/A8lD3tIGi5A8 +7Taf/LMFrT98kdBtvAjO+z6nvZ9uQTw5hiMyJxbB52lZJ/fnFrSvMtz/k/Mi +FFA7NjUXtCC/gd85CjcX4WyH5yJu3IJWJGl/R2oWQUxI/MmhyGYUXmiv7iz7 +EzYdsgmZmWpEx4dGG8Se/IQDVR1N7KgBZbHSm1Y4l6DgYl0zw7sW2XPWj+Zf +WwI9Y6m4gVeVyKYhw/QBvgQxt/wogywlqNeNUyP5DANazQurgn1y0InRWyGh +jgyIDk7SK9fIQR9OLbecd2ZAjDmX2gBzDuow+Gap58oAMdkgTyIlGzXurj6P +ezNAd9Shx6QhC72kuTw1vM6AlHQHnki+pyg8oI7tzyMGhPPvCkcyaYgFVzKd +TmfAgvDdmfGqVBTqnp/4+QkDllXG2WaOpqJgm3iJF9kM0HzA++y+Wwry1XLX +snnOgB7BSS/j3CRk/4fPp6yGARkKUVrZIvFoICCqIqOOAXSehDP+ZnHoFP57 +NaqeATpWFVNuXg+Q5depSMdGBvxJ7AuMzopFx5oasjjbGbDkOx3XzXkXtWqp +Ti2/ZYCbm30Gi2w00isvVPzeyQDve7VXlyEKaecm1dV0MyD94cD+nX4RqG47 +O3PeRwa8fJHvbBsbjjSSbxrEfWbAscRf65b5d1Al19L94F4GmC5t3MtJCUMq +EV49bv0MmDzkKxjVdxv9Bw6zTNM= + "]]}, + Annotation[#, "Charting`Private`Tag$3726641#1"]& ]}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{18.28172831632653, 0.37500000000005684`}, { + 4.095234920676603, 0.3749999999999716}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.3650873746369487`}, {-0.1852581448591375, 0.}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {431.38008019668126, -84.72370844417303}, + ImageScaled[{0.5, 0.5}], {272.5396218305151, 161.3784922746153}]}, {}}, + ImageSize->{ + UpTo[540], + UpTo[167]}, + PlotRange->{{0, 576.6602068438743}, {-169.44741688834605`, 0}}, + PlotRangePadding->{6, 5}]], "Output", + CellChangeTimes->{ + 3.826008397009801*^9, 3.826008507422884*^9, 3.826008595888225*^9, + 3.826009193863812*^9, 3.826012726730015*^9, 3.826013341824439*^9, + 3.826013509209543*^9, 3.826013733276763*^9, 3.826013854006781*^9, + 3.8261032904383802`*^9, 3.8261033958065767`*^9, 3.826103478012329*^9, { + 3.826104193909299*^9, 3.826104200780816*^9}, 3.826188204363851*^9, + 3.8261905698572273`*^9, 3.8261911388851557`*^9, 3.826191420809794*^9, + 3.826192636657423*^9}, + CellLabel-> + "Out[281]=",ExpressionUUID->"ace4a267-d48c-4a17-8b21-0b8791f1d4a8"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ListLogPlot", "[", + RowBox[{ + RowBox[{"Abs", "[", + RowBox[{"gC", "/@", + RowBox[{"Range", "[", "10", "]"}]}], "]"}], "/.", "sol5"}], + "]"}]], "Input", + CellChangeTimes->{{3.826009882778199*^9, 3.826009909473987*^9}, { + 3.82601038610747*^9, 3.826010386218685*^9}, {3.826010726001519*^9, + 3.826010730593286*^9}, {3.8261045268542747`*^9, 3.826104536310018*^9}}, + CellLabel-> + "In[282]:=",ExpressionUUID->"85ae5ebd-4d7b-469b-b177-bd88ef9a9e54"], + +Cell[BoxData[ + GraphicsBox[{{}, + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.012833333333333334`], + AbsoluteThickness[1.6], + PointBox[{{1., -4.964977471794168}, {2., -6.51913216608807}, { + 3., -7.39645969530656}, {4., -10.292525190498505`}, { + 5., -13.073782056309414`}, {6., -16.06848842504786}}]}, {{}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0., -16.93740116989627}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + Method->{ + "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& )}}, + PlotRange->{{0., 6}, {-16.93740116989627, -4.964977471794168}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{Automatic, + Charting`ScaledTicks[{Log, Exp}]}, {Automatic, {{-16.11809565095832, + FormBox[ + TemplateBox[{"10", + RowBox[{"-", "7"}]}, "Superscript", SyntaxForm -> SuperscriptBox], + TraditionalForm], {0.01, 0.}}, {-13.815510557964274`, + FormBox[ + TemplateBox[{"10", + RowBox[{"-", "6"}]}, "Superscript", SyntaxForm -> SuperscriptBox], + TraditionalForm], {0.01, 0.}}, {-11.512925464970229`, + FormBox[ + TemplateBox[{"10", + RowBox[{"-", "5"}]}, "Superscript", SyntaxForm -> SuperscriptBox], + TraditionalForm], {0.01, 0.}}, {-9.210340371976182, + FormBox[ + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> SuperscriptBox], + TraditionalForm], {0.01, 0.}}, {-6.907755278982137, + FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox[ + StyleBox["\"0.010\"", ShowStringCharacters -> False], 0.01, + AutoDelete -> True], NumberForm[#, { + DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, + 0.}}, {-18.420680743952367`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-17.72753356339242, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-17.322068455284256`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-17.034386382832476`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-16.811242831518264`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-16.62892127472431, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-16.474770594897052`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-16.34123920227253, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-16.223456166616145`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-15.424948470398375`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-15.01948336229021, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-14.73180128983843, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-14.508657738524219`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-14.326336181730264`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-14.172185501903007`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-14.038654109278484`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-13.9208710736221, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-13.122363377404328`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-12.716898269296165`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-12.429216196844383`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-12.206072645530174`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-12.02375108873622, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-11.86960040890896, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-11.736069016284437`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-11.618285980628055`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-10.819778284410283`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-10.41431317630212, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-10.126631103850338`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-9.903487552536127, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-9.721165995742174, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-9.567015315914915, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-9.433483923290392, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-9.315700887634009, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-8.517193191416238, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-8.111728083308073, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.824046010856292, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.600902459542082, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.418580902748128, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.264430222920869, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.1308988302963465`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.013115794639964, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-6.214608098422191, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.809142990314028, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.521460917862246, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.298317366548036, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.115995809754082, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.961845129926823, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.8283137373023015`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.710530701645918, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.912023005428146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.506557897319982, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.2188758248682006`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.995732273553991, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.8134107167600364`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.659260036932778, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.5257286443082556`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.4079456086518722`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.3025850929940455`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}}]]], "Output", + CellChangeTimes->{{3.826009892380425*^9, 3.826009909783967*^9}, + 3.8260103866019573`*^9, {3.826010727302334*^9, 3.826010730917804*^9}, { + 3.826104527480657*^9, 3.8261045365461073`*^9}, 3.826188219475419*^9, + 3.826190577536405*^9, 3.826191426127193*^9, 3.826192639928101*^9}, + CellLabel-> + "Out[282]=",ExpressionUUID->"392555db-33d5-4e50-8a31-e2a3a67d3a75"] +}, Open ]], + +Cell[BoxData[{ + RowBox[{ + RowBox[{"h6", "=", + RowBox[{"h", "[", "6", "]"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"F6", "=", + RowBox[{"RF", "[", "7", "]"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"eq6", "=", + RowBox[{ + RowBox[{"eq", "[", + RowBox[{"7", ",", "h6"}], "]"}], "[", "10", "]"}]}], ";"}]}], "Input", + CellChangeTimes->{ + 3.817563268660089*^9, {3.817563829122241*^9, 3.817563846550528*^9}, { + 3.817563950998456*^9, 3.817563956525237*^9}, {3.8175645239988813`*^9, + 3.817564534320574*^9}, {3.81756485534698*^9, 3.817564862343175*^9}, { + 3.817564919676697*^9, 3.8175649235785027`*^9}, {3.817565106996109*^9, + 3.8175651474217367`*^9}, {3.8175652415905113`*^9, 3.817565250029232*^9}, { + 3.8175657444559927`*^9, 3.8175657689660788`*^9}, 3.8175669120549498`*^9, { + 3.8175677716518087`*^9, 3.817567773706285*^9}, {3.817579700926876*^9, + 3.817579701354711*^9}, {3.8175810533593073`*^9, 3.817581114447541*^9}, { + 3.817581149854197*^9, 3.8175811499220247`*^9}, {3.817581265163169*^9, + 3.81758126542041*^9}, {3.81758144220247*^9, 3.8175814490334673`*^9}, { + 3.8175815152710047`*^9, 3.817581521148234*^9}, {3.817581635837187*^9, + 3.817581700879589*^9}, {3.817581767691791*^9, 3.817581768673394*^9}, { + 3.8175821842992363`*^9, 3.8175821844066353`*^9}, {3.817582286431714*^9, + 3.817582297101211*^9}, {3.817582488847374*^9, 3.817582488974349*^9}, { + 3.817582803954041*^9, 3.817582804222094*^9}, {3.817618756754203*^9, + 3.817618757439868*^9}, {3.81761900296082*^9, 3.817619003035212*^9}, { + 3.8176203963382673`*^9, 3.817620396528458*^9}, {3.817626242723531*^9, + 3.817626282042306*^9}, {3.81762924164756*^9, 3.8176292443562737`*^9}, { + 3.8176636404765043`*^9, 3.817663648770928*^9}, {3.817666003825204*^9, + 3.8176660163975077`*^9}, 3.825758657266858*^9, 3.8257634297123632`*^9, { + 3.8257637382216587`*^9, 3.825763741294034*^9}, {3.825764046315646*^9, + 3.8257640768120003`*^9}, {3.826007441657895*^9, 3.8260074468257313`*^9}, + 3.826007758136524*^9, {3.826013359537168*^9, 3.826013366921255*^9}, { + 3.826013463378932*^9, 3.826013482235341*^9}, {3.826013523932184*^9, + 3.826013538876165*^9}, {3.8260137524801292`*^9, 3.826013770240328*^9}, { + 3.8260145556068563`*^9, 3.8260145653027573`*^9}, {3.8261032675908937`*^9, + 3.826103272294738*^9}, {3.826103503187251*^9, 3.826103521043295*^9}, { + 3.826103566388569*^9, 3.826103569900388*^9}, {3.826103672302701*^9, + 3.826103676758366*^9}, {3.826104207144459*^9, 3.826104210536021*^9}, { + 3.8261042708571033`*^9, 3.826104275216998*^9}, {3.826188293833809*^9, + 3.826188309425831*^9}, {3.826190815359248*^9, 3.826190817959078*^9}, { + 3.826191825465559*^9, 3.8261918319533443`*^9}, {3.826192147223263*^9, + 3.8261921527671843`*^9}, {3.8261922870656967`*^9, 3.826192290409618*^9}, { + 3.826193066095601*^9, 3.826193069175384*^9}}, + CellLabel-> + "In[302]:=",ExpressionUUID->"d0ac4c0e-3fde-4f39-860c-119c61865e94"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"sol6", "=", + RowBox[{"newSol", "[", + RowBox[{"eq6", ",", "sol5", ",", + RowBox[{"{", + RowBox[{ + RowBox[{"FC", "[", "7", "]"}], ",", + RowBox[{"FC", "[", "6", "]"}]}], "}"}], ",", + SuperscriptBox["10", + RowBox[{"-", "4"}]]}], "]"}]}]], "Input", + CellChangeTimes->{{3.8175612726329412`*^9, 3.81756128486736*^9}, { + 3.8175614038617268`*^9, 3.817561415404965*^9}, {3.817561511096093*^9, + 3.817561563944231*^9}, {3.81756250196518*^9, 3.817562507914916*^9}, { + 3.817562967760625*^9, 3.81756298304041*^9}, 3.817563161460335*^9, { + 3.817563206558021*^9, 3.81756320676147*^9}, {3.817563530710863*^9, + 3.817563550054001*^9}, {3.817563775700533*^9, 3.817563804069632*^9}, { + 3.817563971222761*^9, 3.817564086350409*^9}, {3.817564155680212*^9, + 3.8175641623358994`*^9}, {3.81756424029494*^9, 3.817564240399859*^9}, { + 3.8175645416987743`*^9, 3.817564542202907*^9}, {3.817564715061411*^9, + 3.817564723202471*^9}, {3.8175648450855713`*^9, 3.817564883921851*^9}, { + 3.8175650025642157`*^9, 3.817565074155829*^9}, {3.817565217921039*^9, + 3.817565230520749*^9}, {3.817565359356901*^9, 3.8175654247402163`*^9}, { + 3.817565602697175*^9, 3.817565635407323*^9}, {3.817566059389201*^9, + 3.817566077942937*^9}, {3.817566269837482*^9, 3.817566273547044*^9}, { + 3.8175663066250553`*^9, 3.817566306784181*^9}, {3.817566684914805*^9, + 3.81756668549652*^9}, {3.817566919102108*^9, 3.817566934549343*^9}, { + 3.8175696638331223`*^9, 3.817569664744486*^9}, {3.817579706169273*^9, + 3.8175797767735577`*^9}, {3.817581067506674*^9, 3.8175810689721537`*^9}, { + 3.817581121371869*^9, 3.817581169115347*^9}, {3.817581207766066*^9, + 3.817581270669099*^9}, 3.817581309702499*^9, {3.817581355857291*^9, + 3.817581356026667*^9}, {3.817581392130506*^9, 3.817581416424316*^9}, { + 3.817581457365512*^9, 3.8175814943565397`*^9}, {3.81758152586852*^9, + 3.817581526654297*^9}, {3.8175819155874557`*^9, 3.81758195123713*^9}, { + 3.8175820720836487`*^9, 3.817582073079625*^9}, {3.817582192281794*^9, + 3.8175821927535973`*^9}, {3.8175824979646*^9, 3.817582531058486*^9}, { + 3.817582601242318*^9, 3.817582616669943*^9}, {3.817582763042087*^9, + 3.817582823261053*^9}, {3.817582997786705*^9, 3.817583024595161*^9}, { + 3.817584829987904*^9, 3.817584859074748*^9}, {3.81758494165969*^9, + 3.81758496226119*^9}, {3.81758499940244*^9, 3.8175849995669928`*^9}, { + 3.817585077390765*^9, 3.817585077573927*^9}, {3.817585156651001*^9, + 3.817585156823139*^9}, {3.817585322721836*^9, 3.817585349348461*^9}, { + 3.817585456385895*^9, 3.817585457280986*^9}, {3.817585513558703*^9, + 3.8175855137401114`*^9}, {3.817613675501788*^9, 3.817613676578967*^9}, { + 3.8176168804169617`*^9, 3.81761688926372*^9}, {3.817618774003889*^9, + 3.817618793385603*^9}, {3.8176190151288853`*^9, 3.817619038205636*^9}, + 3.8176190698677187`*^9, {3.817619141079945*^9, 3.8176191871342373`*^9}, { + 3.817619234638775*^9, 3.817619240400311*^9}, {3.817619299848545*^9, + 3.817619332922262*^9}, {3.817619399549685*^9, 3.817619401809965*^9}, { + 3.8176196502657223`*^9, 3.817619664950913*^9}, {3.817619740359915*^9, + 3.8176197551387*^9}, {3.81761980328899*^9, 3.8176198034943733`*^9}, { + 3.817620410694891*^9, 3.817620463869529*^9}, {3.817620674916114*^9, + 3.817620678055534*^9}, {3.817620745057685*^9, 3.817620761178657*^9}, { + 3.817626286376536*^9, 3.8176263645243196`*^9}, {3.817629112637333*^9, + 3.817629115136323*^9}, {3.817629250682312*^9, 3.817629259447815*^9}, { + 3.8176294333109083`*^9, 3.817629436163623*^9}, {3.817641032808353*^9, + 3.817641033101226*^9}, {3.817664188948728*^9, 3.817664189649652*^9}, { + 3.817664815999873*^9, 3.817664819955031*^9}, {3.817665075387652*^9, + 3.8176650759521837`*^9}, {3.817665115247237*^9, 3.817665115392807*^9}, { + 3.817665186844384*^9, 3.817665187022648*^9}, {3.817665325401506*^9, + 3.8176653256436853`*^9}, {3.817665620012444*^9, 3.8176656289311333`*^9}, { + 3.817666022150625*^9, 3.817666032733485*^9}, {3.817666540959165*^9, + 3.817666542789474*^9}, {3.825763749599124*^9, 3.825763789470828*^9}, { + 3.82576405360496*^9, 3.825764054939633*^9}, {3.826007455858286*^9, + 3.8260074763785057`*^9}, {3.8260077526573877`*^9, + 3.8260077642405243`*^9}, {3.826012574971777*^9, 3.826012607731414*^9}, { + 3.826012638420402*^9, 3.826012656916271*^9}, {3.826013377866149*^9, + 3.826013381529332*^9}, {3.8260134248909807`*^9, 3.8260134250580482`*^9}, { + 3.826013471603549*^9, 3.826013479731104*^9}, {3.826013543044566*^9, + 3.8260135505164967`*^9}, 3.826013585221402*^9, {3.826013705360456*^9, + 3.8260137090393047`*^9}, {3.82601377538453*^9, 3.826013782872631*^9}, { + 3.8260145728315573`*^9, 3.8260145779189243`*^9}, {3.8261032795910177`*^9, + 3.826103283751144*^9}, {3.8261035238675623`*^9, 3.826103539139773*^9}, { + 3.8261035747093287`*^9, 3.826103574876492*^9}, {3.826103679383299*^9, + 3.826103679470213*^9}, {3.8261038876903133`*^9, 3.826103887882242*^9}, { + 3.826104219304634*^9, 3.8261042303525267`*^9}, {3.826104550783296*^9, + 3.826104586294795*^9}, {3.82610462673586*^9, 3.8261046269516172`*^9}, { + 3.826104857507964*^9, 3.826104866451799*^9}, {3.826104995310547*^9, + 3.826104999334303*^9}, {3.82610513751404*^9, 3.826105137680904*^9}, { + 3.826188300330841*^9, 3.826188300433599*^9}, {3.826188448412525*^9, + 3.826188449284243*^9}, {3.826190823120113*^9, 3.826190823343155*^9}, { + 3.826191838578594*^9, 3.826191838665609*^9}, {3.82619215647196*^9, + 3.826192161535429*^9}, {3.826192294650057*^9, 3.826192296633718*^9}, { + 3.8261930735445766`*^9, 3.826193073631649*^9}}, + CellLabel-> + "In[305]:=",ExpressionUUID->"31b6196c-dff7-4ae3-ba24-930461af4520"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "lstol", + "\"The line search decreased the step size to within tolerance specified \ +by AccuracyGoal and PrecisionGoal but was unable to find a sufficient \ +decrease in the merit function. You may need more than \ +\\!\\(\\*RowBox[{\\\"MachinePrecision\\\"}]\\) digits of working precision to \ +meet these tolerances.\"", 2, 305, 167, 31537663052886289185, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.826192748809327*^9, {3.826192780038479*^9, 3.826192815967207*^9}, { + 3.8261928555143137`*^9, 3.82619294802785*^9}, 3.8261930018624687`*^9, + 3.826193041344758*^9, 3.82619309296917*^9}, + CellLabel-> + "During evaluation of \ +In[305]:=",ExpressionUUID->"7df3f521-17b3-470c-a210-7a61feecd5cb"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{ + RowBox[{"\[Theta]c", "\[Rule]", "1.3826652702299873`"}], ",", + RowBox[{"A", "\[Rule]", "0.00043308723415093434`"}], ",", + RowBox[{ + RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "0.17255026425758765`"}], ",", + RowBox[{ + RowBox[{"FC", "[", "0", "]"}], "\[Rule]", + RowBox[{"-", "0.08132430422856758`"}]}], ",", + RowBox[{ + RowBox[{"FC", "[", "1", "]"}], "\[Rule]", + RowBox[{"-", "0.06475158852594969`"}]}], ",", + RowBox[{ + RowBox[{"FC", "[", "2", "]"}], "\[Rule]", "0.13528123809576512`"}], ",", + RowBox[{ + RowBox[{"gC", "[", "1", "]"}], "\[Rule]", + RowBox[{"-", "0.007599696578120524`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "2", "]"}], "\[Rule]", "0.00043633211771074897`"}], + ",", + RowBox[{ + RowBox[{"FC", "[", "3", "]"}], "\[Rule]", "0.005163650299348945`"}], ",", + + RowBox[{ + RowBox[{"gC", "[", "3", "]"}], "\[Rule]", + RowBox[{"-", "0.00005809238493029973`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "4", "]"}], "\[Rule]", + RowBox[{"-", "0.000012160559126750306`"}]}], ",", + RowBox[{ + RowBox[{"FC", "[", "5", "]"}], "\[Rule]", + RowBox[{"-", "0.0001916897542608625`"}]}], ",", + RowBox[{ + RowBox[{"FC", "[", "4", "]"}], "\[Rule]", + RowBox[{"-", "0.00014387113039489378`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "5", "]"}], "\[Rule]", "0.000014791352088628688`"}], + ",", + RowBox[{ + RowBox[{"gC", "[", "6", "]"}], "\[Rule]", "4.2139817720649134`*^-7"}], + ",", + RowBox[{ + RowBox[{"FC", "[", "7", "]"}], "\[Rule]", "0.000023584141368769443`"}], + ",", + RowBox[{ + RowBox[{"FC", "[", "6", "]"}], "\[Rule]", "0.00003710485245054395`"}]}], + "}"}]], "Output", + CellChangeTimes->{{3.825763769229417*^9, 3.825763862906001*^9}, { + 3.825763893981986*^9, 3.825763937705072*^9}, {3.825764027795516*^9, + 3.825764084811095*^9}, {3.826007456702271*^9, 3.8260075356923723`*^9}, { + 3.826007761819284*^9, 3.826007768458026*^9}, {3.826009171638761*^9, + 3.826009184136553*^9}, 3.826012608015576*^9, {3.8260126389518557`*^9, + 3.826012684498214*^9}, {3.826013381873271*^9, 3.82601348293191*^9}, { + 3.826013551706695*^9, 3.826013712266746*^9}, {3.826013826844092*^9, + 3.8260138293827477`*^9}, {3.826014578574484*^9, 3.8260146184334*^9}, { + 3.826014652329228*^9, 3.826014747250167*^9}, {3.8261032853124943`*^9, + 3.826103288199881*^9}, {3.826103338908792*^9, 3.826103476722625*^9}, { + 3.826103540721582*^9, 3.826103629625214*^9}, 3.826103670356509*^9, + 3.8261037792066097`*^9, {3.8261038612398777`*^9, 3.826103907602298*^9}, { + 3.826104019255662*^9, 3.826104042054585*^9}, {3.826104256583004*^9, + 3.82610426202947*^9}, {3.826104500312078*^9, 3.826104509121063*^9}, { + 3.826104546563622*^9, 3.8261046311993837`*^9}, {3.826104723981406*^9, + 3.826104760244825*^9}, {3.826104807259857*^9, 3.826104853033821*^9}, + 3.826104911351597*^9, {3.826104982956924*^9, 3.826104999872531*^9}, + 3.826105033037449*^9, {3.826105112215321*^9, 3.8261051355518703`*^9}, { + 3.826105352221752*^9, 3.826105357625589*^9}, 3.82610539132623*^9, { + 3.826188229323596*^9, 3.826188303453745*^9}, {3.826188342025765*^9, + 3.826188367972492*^9}, {3.8261884449236317`*^9, 3.826188478726218*^9}, + 3.826188527058873*^9, {3.82618856350313*^9, 3.82618857219001*^9}, + 3.826188658572691*^9, 3.826190594276289*^9, 3.826190670337721*^9, + 3.826190733045837*^9, {3.82619078319028*^9, 3.8261908552249727`*^9}, + 3.8261908948786583`*^9, {3.826191456147304*^9, 3.826191462918538*^9}, { + 3.8261915514027367`*^9, 3.826191565569623*^9}, {3.826191621967121*^9, + 3.8261916307016706`*^9}, 3.826191750624617*^9, 3.826191819254016*^9, + 3.826191874227799*^9, 3.826191912024328*^9, 3.8261919466490917`*^9, + 3.8261919924960527`*^9, 3.826192035544579*^9, {3.826192145616632*^9, + 3.826192183422934*^9}, 3.826192284813829*^9, {3.8261923503891087`*^9, + 3.826192371129936*^9}, 3.826192657937194*^9, {3.8261927403243*^9, + 3.826192748820674*^9}, {3.826192780050969*^9, 3.826192815978899*^9}, { + 3.826192855525916*^9, 3.82619294803933*^9}, 3.826193001893322*^9, + 3.826193041356042*^9, 3.826193092980382*^9}, + CellLabel-> + "Out[305]=",ExpressionUUID->"ea8fe62a-dd49-4054-b383-0738f0b8f82f"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"GraphicsRow", "[", + RowBox[{"{", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{"h4", "[", "\[Theta]", "]"}], "/.", "sol4"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol4"}]}], "}"}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"F4", "[", "\[Theta]", "]"}], "/.", + RowBox[{"B", "\[Rule]", + RowBox[{"ruleB", "[", "h4", "]"}]}]}], "/.", "sol4"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol4"}]}], "}"}]}], "]"}]}], + "\[IndentingNewLine]", "}"}], "]"}]], "Input", + CellChangeTimes->{{3.8175672854849167`*^9, 3.8175673108365*^9}, { + 3.817567343605356*^9, 3.817567515945986*^9}, {3.817567689779602*^9, + 3.8175677001061993`*^9}, {3.817567852209393*^9, 3.8175678553653107`*^9}, { + 3.817569677608418*^9, 3.8175696880410147`*^9}, {3.817581502775428*^9, + 3.817581583359663*^9}, {3.817582250277421*^9, 3.817582268443882*^9}, { + 3.8176137509420633`*^9, 3.817613772032806*^9}, {3.817616947220008*^9, + 3.817616967115974*^9}, {3.8176195353257837`*^9, 3.817619546043696*^9}, { + 3.817627764775979*^9, 3.8176278238158283`*^9}, {3.818229824671139*^9, + 3.818229831606958*^9}, {3.818233166561644*^9, 3.81823316664911*^9}, + 3.8182444139503117`*^9, {3.826008373734087*^9, 3.826008396493952*^9}, { + 3.8260133301047697`*^9, 3.826013341448687*^9}, {3.8260134958356*^9, + 3.826013508779696*^9}, {3.8260137167995996`*^9, 3.8260137321035547`*^9}, { + 3.826013841697954*^9, 3.826013853521943*^9}}, + CellLabel->"In[75]:=",ExpressionUUID->"c89d4fc8-2254-4238-b27d-107fefc31da5"], + +Cell[BoxData[ + GraphicsBox[{{}, {InsetBox[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwV13k4VHscBnAiJcmekCVrSUqytHlLiIqkkkqSJEpRhHubRCFtoqJN15Kb +JEIiVJyJ5JK1kChjzpkZZW1UInV//TXP55k55/y2836/M8crwGXfJBEREWlR +EZE/n4/9bFv6Fu20yvdz8m1qWW1V277f3XnYEmbGIvsO7dDCqsVxYyrD9uB7 +CrY77FiEcY+0ml9DbjgaYDdqtmMV3L4amgwP+YJFabfp73DGmYpB709DYVBz +co2W3OEJDf3mX7yhWHC7xtrubA/EJ7cX65mh6/A69fCrolsEhtRy/P0nstA4 +R/OftyIJqL5FfYp2egS2nG/gisU3sKK8P/xOeAmmrmsOKL6SCmr5vNhTqhWI +ON3ACm7NQL+1R4n7ihcwTbburi2/h8irC3vd0l7CfFH1yBL+AwgCOVNZ32qQ +zTl5sTIwD9tGlRLs5V+jrzlaMtWqAMr7hOdvWTZiltRyuQCdQpzRuX16f20T +4q72jR9oewxPAwuhnWsLvJS3jr0+UoxDzppexZPe4rDosif+qiX4XW8fzbrc +CqpQ/kpNQimqjlZkNq9pR9S8SWqusk8xsnOu9Yr+d5B03vBX/qFnyLzZFD/2 +13toSC4drLj5HHG/Xn1wmNsF04PdC9sryzFWLMrpL/mAlwMZDRd2V8Bxvc2R +BPNu7FX5bL+krQJJSy0mCZZ2Q1Blu1LQXoEPBoZXrFZ2Y52pu8GtjgocFpd9 +/HlNNyJuKXdOdFUg7tn7UdtN3ZB+4vCiiK5A/cKgiLGD3ZCMZ3t/G66As2L6 +pb1p3VhaZNKWLUXBpet3jtl0Dtq2NBXwllOwddopcJHhYFv7VyOrlRQsy4u0 +A+U58NF8UHTVioJG2qFr92dxkD3LedRqNYXP3u8jNPU4OLlWwiTWjkJUX9Fm +SSsO2lfXuPc7UygaP/SjM4ADkQajStF9FLL8a0zHjnIQOllnZJkPheQu3cPK +IRzsfP7fwqD9FE6Vv+/ZxOLAs6ywptuPwsbTDnUvYzlYV/pPVN5hCoJpeil5 +aRw43F/zc04YBRXVTpuoFg6Wmq/U2nCOgquBeRrdSp536oV9+HkKV5fET9h0 +cJByLdfx4QUKshttiiZzOMhrnt0nfYmCRNQDgzMDHExiEPrsCoUv/axp5yR7 +wGkb/ZdJpvAfpd54CT0wY7Z4bc+lMLUh1GjImny/+WSDz0OyXp1Nsc52PSiQ +OqoYlEeh4lv0ajnHHpxt0dSLLSDznz9QcHlHD0ZeZO/KKKKQnvg8MfFYDyy1 +dKf/+5zC3367d97K7sFKZpLPy9cUvH7M2cPO7cFnmz2GKfUU1p+lfXrze6As +myMIaaAwO8vvqMWTHowbJbvoNFF4Lgg621LZAwe/qvaANxTEfGOLpT70oH+0 +JrGtg8IFn3wFliwXD+SeynJ4FIK/BancUeDi5esPndf5FHbFmGv+N5MLD5Xj +KRsFFIzvlhnOUuci2LtwSmkvhUamanXhPC52yljuOdVHQXFfR0CfNRcdLUpz +OMMUbu8Vq3M/xsXjyueqreNkfd88Hg0K42LR5O/xfj/JebDx1Tt/nIvymEbx +n8QH9F6Hl0RyMWwqwaj/IueLn2QyM44LrUutUVtF2Gg5YHit4S4Xzlk/ja6K +s2H3vvMFL4tcv2X8iPJkNkrXXxqaeMBFhrLaoxvEqUYjDkaPuJipvXveLQk2 +Dg88+xlbzoWYrDc3YSobkkc3eVm3c6Gf2xrmNJ0NVo/Ype3vuaArPwZTxEMu +RWWBH7hQW37loKk0G62makopNBd3eMn2ijPYyPhKV48PcdFfWvS8RoYN/BW2 +4LEkDU01kTNiCmwU9BruqJtO44PIkLYPsf6OrhiuDI3y+epPqomnL7fulptJ +Q2/329dnFNno+Cl15bA2jZwqh4xxJTaORaSMGiyncWZ+dW/+LDYWX3Ree8qK +Bn3DaXyaChnfDdGkztU0FiwWvvUi9n+01zTBnkbkUl3eDFU2vHkGh8e20ohX +UQtwU2NDW9j+dMt2GlL9ES8zibt/n5V66E7jk7g+7yvxTpW+e3v30tioXHEi +bjYbLhvyuHWBNGT8zaTy1dmQ3b5nsUEwjRN3k9K+Edfvk4+MDKVh99T99zIN +NhxOBmuYh9PY6pwtW0G8qsBye8p5GgHSnmfKNNn49bw380ccjdBHX7d+J35a +e/Pb5ss05m1S+WyixYYF8/PK1Bs0Fsmk+t4hNp5F1R+5SyP3a1VO6Bw2+nSP +qtdl0WBtZXKyiO+b6Pjr55D7bysP6iDWWx8t+f4RWY/MZc6W2mz0bDN3Myum +kV6b6bOPONWbf/dSKY1b2G+dQDw73MHGhqIxw+uYA0PccW7s8j+VNO7uiA+W +1mHj+rVszmg1jWkWSd5LiBXypU/m1JP9rB+/HE48jW4qmdlJI0beS19cl41X +Q6emHvlIg7dzSog2ccyE6bbaHhoDB2rPglhUOWnkZC+Nk93rJo4RP9dZu6aj +j8bwQIv7JWLWotGEJUM0BuWVIzKJRx12LOz9RuZzcb/cG+IiV6nwNWM0VEXX +nBQQB+99Wnd7goawKjhvnHhx4CG1UREG4TJ0hrQeOR8sjQMu4gy2aIW5axDn +nm148mAKg06HWW0LiP2TIqZMkWKwoy9bcQWx4R0T1z0zGPSHqCo5EPMf9mSU +yTFI3L++fQuxM34mdyoyCFyrVOhB/KReKXFCmcG5F4HH9xPP8Vh4UUONwUbF +dcYBxOf67aOhQcZz4mLdMWIhy+uE5xwGFk4GrseJ3aezjkXqMhjsFqs9SVx1 +K/FQugGD07dk5p8mNp7/cN8LQwaLBs1Doomvlb7aRS9gkOLm8yCGWGRdz9bJ +Jgw+7j73+o9934076i9hEHT90rs/v2/yVbJba8FgQ5pX45/7LRs1tvJdxqBF +dyg/gjj9jL352ZUMmHbdcBaxlLKX8f1VDLjh/UtCiYPvHtevXcMgnWveGkjc +ZZao0WfHIPpj/x4/Yruq3JnS6xgEuP5u8/yzvltezTB2ZNBg4Wa5jViZ5khs +dGaQHM6c2kAcETT+K2AzA2+Tq8WriAWTlL7HuzKw9drUakpcOsee3+zOgF2R +3TSTWCd/z0fhbjLfDTq5EsQXVh1vU9zLQFnBI/gr2W+P3bnVrn4Mtl1oftZA +XD1QXR7qz+DUGG9VGfGicE7x9QCG1MHgnH//nL/bivc6jjHo8861DiU+YGSc +Oh7GQCPL/KAHcXPZ2uuzWQyKGvtZNsQZHX/HepxiYHwiZac0sfSBqxEnoxlM +/evY3CFy/kN+5ISlxjKwsTP50ERsP4vj2xPH4HqlnPhl4vzMMU+xy+T+6+WD +A4lVLRS36yYy6HHMq3Mk/rx1rYPPLQaeX1kWk4njruTM+5TJwDHde9iHvI/f +tavnSGUzEI9zz1hB7FnQrWKUS/Y7ei/kiE2aFKYdLmRQbeO2oJi8/29m/P1p +uIJB6zoh7yvJD7Vzdtk/3jEY3lpDWZG8qX/sUbWri+xPs2zXBMmnU5yQj1Q3 +g5vKK3PLiAWWmQrn+AzuOg8cMSUu5E9hqX5loH5tN0uB5N1+Ba2k8FEGliNh +Nq9IPqrCMq9nnMHbk6+p48SRSb70/Uk8dF178/4DyVMn25oNy2V5cChVOp9I +8lj0CMcnRYGHMrEXYyAuTP4RIabMw7s5Epq9JL/VRuY9rlXn4UjwzygLYkH6 +OXX3+TwMegZVViqT8YpsGGDZ8eARIi+SRuqFmZH3VI4DD5qpRQ/NiQXbWNq2 +jjxEvi2QryX1ZePDB67SW3hQcfH5MihP8s5Duvz2HnL9l7SZhnIkT8rqLz1n +8eB/R8DZTepbb8gmE5FHPEyZDLEmUl/nnt5+dEsRD7a9xXkg9rm059G9Eh56 +wz3VcsRIvmYeMdtUwYOpncjcqEkkP9sTlqa/5kGYXzpbh9Tr/5Y1r7YR8FC6 +2dVHl9T/+79cXGLV+TiodFZmydCffm3nlU4tPlwWiNr+PUhBX3nvm0W6fHwc +rDIrHyD90MIg13eGfDxJm7C37adw0/PKDkNLPrY3pC+x/kThPLvFq86Fj+WW +fMXfXAr+MVuCZGP58IpX+SeqlcJWpapd88/zEZ66+0D+WwpWGWb2dnF8nCmo +VO0i/ZAse6Y66yofe99WGZi0UCicaH/JT+VjxlDycC3ppyaCd6mWl/DRoXBl +Rd0rCnF7fahDn/lYJKp/9HsJhdAvrdmxA3yYXOvNEyH2jFybdGeYDyN2UfPU +JxQWp8w9+O47H4M9TuVKpL9r6/ikaCsuwOh/qcu1Sf+n5RLgO1tdgF/XnUon +36eQvypMptZJgJuHPv/z7ToF+iBfbZ6LAB30S4fKaxRmXXOde2arAE8awzPi +kyiQmFq9xl2AFyP7/PSuUthwc/homZ8ARqw1i0D6V4HwQGt2lABatrIPTKPJ +8zJ33b5QKgA1jTbWCqQQL71mvpN+L2r+/mUlYU3hcJkq5+i8Xkg9iC++sYqC +o9+XpGtGvVCPNZhmBArTqtImcRb3Qt/RfaXjCtK/sUQ6gtCLfRqP30eaUwj7 +/Cz2hlsvtpeMfHtkSNajxpJHn+vFB9dnacvlKZhEG6cdH+wl9T26uZ38Hzmj +Kd9SUPgJXv+y4pv8KhBalxxVcO4zdPZ3TCjklWOern28u0sfXosp2cgcf45j +cTfVGgz78ansTeB68Wc4fUdatG+kH6tXJy4tjiwj/WBYunzZAMIu7tYCU4I7 +eudfiF4ehNuaxoKbok/gJb07xXHBEDamJ3hdVy8C5OqSf90Ygty44Re/wUcI +0TcLKxQfhk6ol+SV7HzMSMiNgO8wGk91TZnXmwth1Pgr4zfD4OltVD0tyMLS +ejcroeUXdHXHT9FX+BcdcwsSnt76gvfa4SsumqXi1fSPup8khLghvUJGIiMR +ynazmb4DQjjnLLfdTsfA3yUmJNtfiLapWXV9sTGo8BiacuCwEMc22oiHL4iB +b2ilIf+IEF4DfaU3QqJRes8/kBMmxC/NturiqVFwl3o2/jZGiIeJKVE3jSKR +2rhLvjxdiG+BD3VLeSEY6ay+cyJDCP8s2YDTC0Ng32tituKuEH5tBunrw45h +WFTCrSRLiCZ7dYt3ksGwNs29/ShPiJWTSjb2GR0Bnfhr7r3nQrgXTUyfxfOB +ZbpvqU+FENjs7XAndB8u5Dav12MLMZCpLblI0htm1XcPp1cJYRwySWyj0R7E +jDoVJtcJMTzL+IsL44oO8RLbnfVCWJqENcZN3QJjOZ02lUYh/pp4zGqavwlt +877/SGoRIkvms2MHbQcj8z3nt74V4s3I6OK4+asRYV07W7FNCI1aiemZtDne +OJnlNrcLIc2q/vKA1sfcnSlI6BCiO0NzvZajndX/bsVJzA== + "]]}, + Annotation[#, "Charting`Private`Tag$6211#1"]& ]}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{13.821428571428573`, 0.37499999999994316`}, { + 4.095234920676575, 0.3750000000000284}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.240861201361802}, {0., 0.14177022014769045`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {143.04997677474404, -84.72370844417306}, + ImageScaled[{0.5, 0.5}], {268.07932208561704, 161.37849227461535}], + InsetBox[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwV1mkgVG8bBnBKRAtSKam0iERRKSF3KrKU/EVkJ0vJHtoUlRCypcKQJRES +WeeQuSmUvWxpt4QxZzCMIqL3vJ/m/D7MnDnPue7reTbZexg5LuDh4bHl5eH5 +/2fJea12tqKFBnXJU+WY86qx29nScFwFeOQ9bGdpjoxDuyNn1o7rAM+mhSVJ +tDuM5eo+/bXFRhB4b24T2yCeMWudVj/PMYOqCGb7BdpTBvNmS/5+BRs4VCbS +fba3gHGhbU6PXmwP0QczTtUY0Bl9Z1cyOtocwfAgzZYMq2KY/ZJTGuecA6nJ +4L0naLWM1mDNjGXCrjDd8EAtxKyRob3GTFxOwQOms9tvHO99z/huvF/ribQX +0H+qzVS5djASk1/feFnsDcbaH2pTDboZJoMn6HjEBxSNDKPJ4K8MkV2fxpvb +fOGhRmHg+7AeRkjVmAOLcxnkGo22S9MGGIcFrz2eDrgKQX4u+RscmIz5//i7 ++YX9IYPTUnzcjGT49Evqb1EIgDNv/kvb3MthrFlt/HqNdSBk+Z1LF0iaYPiV +r/2RIn0TtAT6LYNdJxlKC5+ueVF8C/4YGjkYGkwzIrNclJX9b4PE4EJbms0M +g62vaPTqSBAU/ov1Dgj+y3gWVxHe0HYHJvzkxO6G8eCGbW3zg5xQOLhrQPlF +4iL0b3i0zp1+FxxEVzqX/OHHT+5WKr8CwuDijrrToWcXY1wZ02uhcARkmvjN +RJsuwSW6/35uVIiCvxGeY3E9InhupIY3azIK3EPXNmpViGK/jpawuHU0VO3Q +X2hJW4GaI0Lyj6VjwGV1KNAvrMS/yg8dnxfHglPbhQaFE2twx+I/XI819yGv +yMdT4NRaNP9scWuP/33YHy7UoWUtgfQbm1LKj8QB3Xv2GidIEi++fd79ru0B +LC4Ldr5+VwpZZm/0Bzjx0GX5S2AoXhqdiv+sXWaVAKHXDt0pM9mGfcKKzL31 +CaAn9fhK4SoZ/FSXFBSUlggtNuevy6TI4ru9fpVbjJJgF4p/WtK9A7NEtu+y +L0oB3vlXwl2eSihamj9fI5wKk+mfrO4xlbC1v2GgWysV6iJuan6y2436wFvM +U5gK1ZPJiTvP7MEjv90MDcPSIPRq7pEWc2Xc7XDs7pjqE7g/KevelX0AOTH2 +ngu9noCeyP5jH1RV8QVeNxXPegIeZDPTplkV5dYVS4NYBrgN/juuMqWGm9uk +XkeSlBe283VYaaDooZkZhaRMcM55yG9SoYmcdXmurnPZoLL60fNdF46htY8h +i7UrB/j1NthZ1B3D5iau83n7HMh2TlPet1kHc66rnnV6mwPtUzkb/3zRQYcf +b8/YxuTCTpnZdUWmetid3qdtLJ0Hrc0+mRyPE9izMkLk8bYC8EvSPpQraoTi +1VYnv0EBSGbvEtmhZ4QGbrsiJc8UwJ3J/YO8t42wsrZtCS28AG6HXo0p/mWE +iX5rBeI5BRChMGWp8OMUGndnzsWUv4S+UD6vc69N8C2tmnXHoAia6juNeurP +oPHxFXbazkWgNa226ucSc+z7a/+RP7AIVrv6flE1MMd5K76akJdFsDSry6q3 +3Rz3SR1LvruyGNJqF6aL9ltgRkbTyXufiyGnWeHkjIg13sr7WBznVAqOhR0C +9iZ2KGItu8MkoBSchefzIq/Z4ePlV9JWxZfCW3H7Kz/T7JDwkIh8WF8KG1ps +Li4Zs0OOkpVzvHwZ3LKVSNIOt0eb0r61SRNl8JibNuneeBbVceTGkxsEjF1v +yvd0ccL1RnsWXU8gIFZj5di5BCec/3k5/HQxAXFvTq+LeeeEVUJ88YIsAhSz +8mW9ZJxR67TESw+TcvBp7X3oMeSMBiPa/WryFbDC0bzIzvM82qxLPdbx6RUc +3fvnzp+nrlittj30lkQV2MbL+7m3euF34VGOoEwV0HT9Br6xvHCmv/BMzJ4q +0BbGp3b83rg3Qn1H6vEqmFspKJJ50Bszv55sqbxRBcPLVPU253ljxHW/lX/6 +qqDUVlRrMOoimuKbVI/caii9oH0p3MEXRw5bE5bqb0BRfHQ5Q/cK3ozbNWyW +VgcXlZ1a3529iUzP3sX+v+thwP3avTVEMJpOr4rRWdEM2hIHyxy0IlDckRtO +U3kPdR+dbTQ8YzBkS/Jt58YPsCj10nzH2zi0ldnP1T7dDpOGP3y+HYtHN8ON +9mULOqm+6BS2NEjCfy06d/xju+CKmd2CM1KpWOtdldV2pBvsPSTJSfN0nLSQ +Paw+8gnqbRpkYh5nYFbih+iZK1/g2ukd7NZ3mRg5/+67ruw3mEsRDcuTz8aZ +Mt7eEeI7BNntmXnjlosn9I96xezrAYdY+7iGnjw0+vYvT3lpLzAbNPiCNxfg +WomvR4Pae0HydcwjTfWXePW8jQUttw/CT2xjdzsVYvLZhU2Wvv1Qf2ChWqZP +EfoGpkzLqP0Ekp901PcuxqH8vowK0QHo05FTu+VXguvCtHP/fBqAxZeW26ea +leKw339KPEWDcPBUU+c5lTJ0DTa+KBI6BEnayYWus2VosqrWakf4EGjYijBF +58tQI0NZRztyCA6tfEsr4aGjyOvV6/3jhkBSwfHa9CI6Fs911w2lDkHGRXlB +VxE6zvlYSSAxBMzw9c2C0nSMPOtU7UYOwVxPkPM6ait7eeiycKMBExT35Dh4 +x9Px54WhdduNmNDGPHO/L5GOax6dlg0xYUK8/5FGw2Q63hjZq3nEkgmmtz1O +yaTT8XjiuHfFeSZUZ33Ke5VLRybXpSs3iAkDL53fhzDoKJVllRxRzgSa68ep +hD46Grc1ZbMqmTC+Jrug/icdQ+bUSnWqmeCeucxsapCOo6ckWvneMWHRfVWP +4yQdX/F85LneyYSevW1Z37h0NDM3dHDjMEFkv1cIjY/A6GVHdhhsG4aHag/k +A7YS6F4h0eu9fRgkynIv6m0j8MT5iYeP5Ieh0kWzS0yWQKHatAW9u4fB6KUy +mbqDwCB/ns8XYRjSuw01M3YTeJmsDE0wG4aZ/R38Jw8RaFuvMvgzbBgE6e1q +iuYEalwSSRKMHIbc5GtPKi0IXC/N/G9nzDBINywQ1bUi8HPgo8pLj4bhy4K/ +M2dsCTRW+R0nlDEMkrqlU2edCNTJKjqiWEndb0B9TtybQKU7O9OujQ2DvNXB +m7MhBCaK/b4ePTEMa7OimzXvEsiXXmn+9NcwpKg2bwgOI7CLcXxl6+wwKE9e +aV58j0D/aZeQzYtZ8IdvWPd3DIF1F7Lc6qVY0CvjpuRFI1Bxxl3v+xYW7Lx0 +PvBREoEJoftkuNtYUNOq2FCRTKDr09oeSQUWeE4n6M+nECj6o/+U5wEWrDyw +fdIlg0BLIylVcSMWaK5gG/Q9p36/Z2i1vAkLwup75ofyCNzlkc89ZMaCdyfv +ppAvCFwQoZHnYs2CIQGvAnYBgVm1llIMFxbcyZid7ywmcEIlgd/xNgs+vZZ8 +ffQVgRZvbfuvBLPgQc97pe2VBNaYyFZF3mXBgpjtoUsYBD7yLrtCj2JBg5D2 +YD0SqP68k70kiQVL+GmnFd4QGLJxRXthMQuqGgyvRdYTqKrX/UGIzgJmhlOA +XQOBoz6P39tXsODGs+F5pUYCTzfItax4zYLuvYvcGpsIlPY9Uu/dyoLE4v1j +P1oJ7E4RfNfQxgKRJgv64/cERjS01m3uop43Kuy3+QcCJzda1rR9ZYHH6MeW +xjYC3zT44G4WCzJW/+yO7CTQ75cqI2yEBXv2CO890EWgnBRvZR+HBQWyg3M9 +lGN975XHTrHA//T5z7LdBNpJZZZM8JHwXSkoNeEzgf98P+YWbiTBZEotf/47 +gYWpyTlCW0jol/z0IOAHgU6NZ7Ptt5FUYj2/z1FukeJkrlAgoUPfPnaih8Dk +xsXp3qokLOlV8njVR6Dh75bUhoMk+PZePSnbT+Vp04OUzZokJGtcCI+h7Oq3 +KbntGAkvlkuIWf4kUG2TavxuExK0p2n6Hwao9dPneRRmRkKq8RKuzCCB6X51 +D/osSMgdbB+7Rlmoyeh+rD0Jf6b0BtcNEcj4vSaW5UjCvSan786UvTf9iD58 +noT0m6WyLyl/8rsQOeFBwi/B5gI1JrW+aUr39C6S0NjIO+JP+VDTVHi6Hwlh ++tqXKyg/2xR01+g6Cc9VvlxWHKbyeFwvNCeQBEulRLYTZZFLIiELgkiontd6 +nkj5UlNSUGEYCSh4eOkM5a4rjfIf7pGwzZPo2MwicK/MTMdYNAlirCWHdCnf +75C9vjyOhE8fH55wozxx01Ra4REJZ7PL/kZS/m9XcLN+Iglq3xuPv6Bc8LXY +1yWZhGeLlA42UhYO619/N5WEcsbR5gHK7vtX1GU9IcGJ7vB3jnLzz0PudZkk +RL0crRcjCZSP9Vg9kE3CliuHlGUoh8FjxsI8EuRGyw6qUB5mNzltLqDy8K+w +T5uyTuLscs0iEiryoracopx5TK7MppSEWIHn/ywpL/plZnODIOGpgpOfA2WH +9BCB5FfU+zSUDDlP+c3J0vwKJIG3UF7JlfLmuZ+mn1+T8ODJr4v/d2COGM+f +WhI2hHYauFD+YXr4mXg9CZvb5aodKWss8jLc10TCIkHjBmvKSYUp08atJGzH +/PMmlGdtWlIvtpEwS0t6rEvZfNmcTmwnCXymV86pUSbKd4wXdJMgSGTUyVFe +c848ofULCaJJ1+nilP1W3dUc/U5CKGl/cAHlztdlw0v7SNDKKDJm/f99eQ7G +7BggIaejZa6Vcuz6Vap6TBJeJompFFE2vOwdFjJKgnjTQytvyvnSabszx0mQ +b7p/zIDy8vbWzzWTJPg92F8lQ7lRQWHHglkq/1fHzdupfMh9sWiXmifhANZd +e0o5NDTsGvCygbGhWtaXsnb/UKO/ABsEdDO2LqP8NHq1D02IDftaj3t3Uvnk +09CSLF/GBo2hBF0a5er4dNcpMTYYi6THbqSsbmC1zFuKDTfUOf5CVP5ps+El +0VvYcLn2MD9S8zPzrNwqfxsbxozUV3pRLlu45gVbng1qUlkVzdT87SbaDJwP +sOGw7sS289R8xjjxTt1RZ8O9vWI1gpQ5YoopGcCGxRf6erKoeX7hfm+sV4sN +Ep0ij75S8799q060pREbvOtMfsr0Etjm5mvOMGHDnpIIWg7VF/5l6VulzrDB +sMLBUo5yi94cvd+GDVUhbVNSVL94exX2urixYUNNRgDrK4HrKn7kNnmyIU+3 +382Ecg3fMr+dPmwQbbxqU/mFQPF4Z6GJq2z48SNWN4jqs1cMyT1XQtmQ9jxw +y+hHAh0X6819DmfDbHLKak3Ky40uvVWPotazvYs/hupHu4EPFjwP2aAy4vFF +hupT/qUhQSFP2FDyORCUqL49eWa88wGDDc5iW7UKqT6fTt+QOlXNBpNbgc87 +qL5PZ+u7nKllw9GZML5Jaj+YDMicl2xiQ1n3/dvb3xEYn2khk/GJDXYne7M8 +agjs49ZeLpxkgwiqfHOm9qPwg9zDK6fZYOq/iWtWQeUvRGqZ3ywbdjDcR7TL +qf1G4lragQUjsFRye8RaOjXPmooNVcIjsEqo1jKhiEDfyMR1rXIjMNdwPHVB +DoEN5opRUwojcN7F8G/XMwI3yNQtkFIaAbcHwvHPsqj9FMeHPfePQL6jfsSR +pwSuHtehrzg6AlFC4afNUgmkn5oyPm01AiLha4f/PiDw7xrjyG9RIyBqN/FG +IYDK/8AwL//9EehiNjGfXScw42WA786HI7Aie/zAJn/q/KOXaxmQNAJ3Uous +Ba8Q+Pjagh2bskcgeMY4rYw6fxz6XvDW4fUIFC86dSfckcDbT5bxsidH4Hrj +xrSlugTaG96n8U2PgLWAV6LyMQIPz63Zt352BHa3cOottAjkMd16wYB3FBp7 +depTNKk8Cal1FiwbhbTAvwf4VQn08TqX7bttFPTMmOeOy1H9BG/++2c6Cv0H +HHeVLybwCFuHLW4xCjVaB3pC+al+SmgJVrSmXNtXYkyd73omPlXYOYxCvWBc +c/8/OlpmcqRrPEdhcXNoyo/fdDRZtmEm9O4olKvPnj5BnSe1v1xOX1ExCt15 +0Y5zr+jouXXO2p0xCu9eScuplNMxwe3muobqUfj2O/OGRxkd2f/uxt18Nwrc +300d7S/pGLuVFszpHIVXZse3XMyk4ze3SpcWzihEhf4uXRJFRx+eBXvCto2B +/V6HPalWdHwiHf6GN3YMkgLqVuzhlOHl8Uvbtz4Yg8l1J5Qb2WV4vNIhSjt+ +DOQHZffZDpfhb2MNi/DHY2B8duR9YF8Z6gSNT6zMHYOigBVWSR1lyO4z3Sxb +MwYKi0vPqtPLcG/q1psGv8fg1FOpDsnrZWi/zCblhAIHtvV4qWvNlaJ3tfFZ +nl0cAFqEWNl0Kd701ZMpUuSAYftlCenJUkz9ppy/Zi8H9glEl/xileL3vKXY +r8oBPd1Toue7S/GMQfn3KzoceL5bYOBRYSkaRq3akHmWAz1Pf6mvcChFEG1K +mk/ggOjSqDrLihKMKzngk03jwJuSvQc5JSXIPJOlb5zMAZfF1kMBBSUYm35r +JjuVA2knLnXcf1qCg3sOmJlkcWDTwSuLIqNKMOJ0ptjzYg6UjgXbNdqX4Gda +YNiZVg6IX6sRcuYvQb9typeL+caha1wnacnhYlwe8yIQzo2DbYFJMpldiNyg +2Xc7O8ZhOMfj/WxBAR5oMdPgqkyA3fo3jxLU8/CzbGHMK9oEPP+h63zv1TN8 +t/THVhY/FwxXhT48Y/0ExbUlB9guXNh6KK5Ato2GrkbBfrmuXPjJz1C6mkLD +KmuOgIs7F4TkhD6Xu9Lw3KUauSEvLshrvMsWFKBh+TNXz97LXJAsmAn7ppqI +lksqZzuDucC9+CPMNiUeU99brcB0LjwvdhEbtHiAk1/fPrmewQVvm6DATTIP +UGdYSVk9k/o/+VUuxyficJyX34zI5sKq9puvPUPj8PCeF8lFBdT3JTTbuUX3 +8eeDedlnDC74GK3dPigQiyrp58qdqrhQffRzp0RbDEa8aNOXfs2FfOsjSpAU +g8pvM93Ta7kQ57eU11QxBoOnDYqTmrjg3uhm+8Y0Gj/zEVoWLVwwYx357rsp +GneKbvm49j0Xuhde0FPsisKP26f+PGznwr57U/vN/kai/D67cJNOLtin6TxV +i4rEwMONkis/cmEm4GDV/KZI7DBQftHWzQWmi2dUWvE9lLVIgZjPXHAuFZfY +euwe/g+PmdH5 + "]]}, + Annotation[#, "Charting`Private`Tag$6257#1"]& ]}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{18.28172831632653, 0.375}, {4.095234920676575, + 0.3750000000000284}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.240861201361802}, {-0.10124852973025462`, 0.}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {431.38008019668115, -84.72370844417306}, + ImageScaled[{0.5, 0.5}], {272.53962183051505, 161.37849227461535}]}, {}}, + ImageSize->{ + UpTo[540], + UpTo[167]}, + PlotRange->{{0, 576.6602068438742}, {-169.4474168883461, 0}}, + PlotRangePadding->{6, 5}]], "Output", + CellChangeTimes->{3.826008397009801*^9, 3.826008507422884*^9, + 3.826008595888225*^9, 3.826009193863812*^9, 3.826012726730015*^9, + 3.826013341824439*^9, 3.826013509209543*^9, 3.826013733276763*^9, + 3.826013854006781*^9, 3.8261032904383802`*^9, 3.8261033958065767`*^9, + 3.826103478012329*^9}, + CellLabel->"Out[75]=",ExpressionUUID->"d1455115-bd06-4d75-a8b5-99c39d1e90d7"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ListLogPlot", "[", + RowBox[{ + RowBox[{"Evaluate", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"Transpose", "[", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"eqLowRHS", "[", + RowBox[{"3", ",", "h3"}], "]"}], "[", "#", "]"}], ",", + RowBox[{ + RowBox[{"eqLowLHS", "[", + RowBox[{"3", ",", "h3"}], "]"}], "[", "#", "]"}]}], "}"}], + "&"}], "/@", + RowBox[{"Range", "[", "12", "]"}]}], "]"}]}], "/.", + RowBox[{"rules", "[", "h3", "]"}]}], "/.", "sol3"}], "]"}], ",", + RowBox[{"PlotRange", "\[Rule]", "All"}]}], "]"}]], "Input", + CellChangeTimes->{{3.82601388777162*^9, 3.8260140151252937`*^9}}, + CellLabel->"In[76]:=",ExpressionUUID->"d7824482-d74e-4fac-8224-3728d7d92b24"], + +Cell[BoxData[ + GraphicsBox[{{}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.012833333333333334`], + AbsoluteThickness[1.6], + PointBox[{{4., -2.232001379064527}, {5., -2.233255210924621}, { + 6., -3.326986702482665}, {7., -1.3643600131667475`}, {8., + 1.2935726970910342`}, {9., 4.1056560843009064`}, {10., + 7.051270864191941}, {11., 10.114668679738362`}, {12., + 13.283427010942626`}}]}, + {RGBColor[0.880722, 0.611041, 0.142051], PointSize[0.012833333333333334`], + AbsoluteThickness[1.6], + PointBox[{{4., -1.9295989765657475`}, {5., -1.991259258197928}, { + 6., -3.010739086072372}, {7., -1.405307071207719}, {8., + 0.9467319412293635}, {9., 4.886136929409535}, {11., + 11.861891174892516`}}]}}, {{}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{3.833333333333334, -4.626845840152148}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + Method->{ + "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& )}}, + PlotRange->{{3.833333333333334, 12.}, {-4.626845840152148, + 13.283427010942626`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{Automatic, + Charting`ScaledTicks[{Log, Exp}]}, {Automatic, {{-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox[ + StyleBox["\"0.1\"", ShowStringCharacters -> False], 0.1, AutoDelete -> + True], NumberForm[#, { + DirectedInfinity[1], 1}]& ], TraditionalForm], {0.01, 0.}}, { + 2.302585092994046, + FormBox["10", TraditionalForm], {0.01, 0.}}, {6.907755278982137, + FormBox["1000", TraditionalForm], {0.01, 0.}}, {11.512925464970229`, + FormBox[ + TemplateBox[{"10", "5"}, "Superscript", SyntaxForm -> SuperscriptBox], + TraditionalForm], {0.01, 0.}}, {-6.907755278982137, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.605170185988091, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {0., + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.605170185988092, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 9.210340371976184, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 13.815510557964274`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 16.11809565095832, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 16.166885815127753`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 16.213405830762646`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}}]]], "Output", + CellChangeTimes->{{3.8260139356528893`*^9, 3.826014016404052*^9}, + 3.826103482588256*^9}, + CellLabel->"Out[76]=",ExpressionUUID->"ad65c8a7-66e9-4c1e-b599-35bacb78e113"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"Limit", "[", + RowBox[{ + RowBox[{"D", "[", + RowBox[{ + RowBox[{ + RowBox[{"RF", "[", "1", "]"}], "[", "\[Theta]", "]"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "2"}], "}"}]}], "]"}], ",", + RowBox[{"\[Theta]", "\[Rule]", "\[Theta]c"}]}], "]"}], "//", + "Expand"}]], "Input", + CellChangeTimes->{{3.826011286748323*^9, 3.826011308507806*^9}, { + 3.826011549632658*^9, 3.826011556888365*^9}}, + CellLabel-> + "In[419]:=",ExpressionUUID->"93164c6e-f8e2-4fb1-ab0b-a65d379b88ef"], + +Cell[BoxData["$Aborted"], "Output", + CellChangeTimes->{ + 3.826011340436975*^9, {3.82601153781579*^9, 3.826011550758062*^9}, + 3.826011827470542*^9}, + CellLabel-> + "Out[419]=",ExpressionUUID->"db3875cf-f19f-4e24-a7e4-c4017292b8fe"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"eqLowRHS", "[", + RowBox[{"1", ",", "h1"}], "]"}], "[", "1", "]"}]], "Input", + CellChangeTimes->{{3.82601135578957*^9, 3.826011382285112*^9}}, + CellLabel-> + "In[418]:=",ExpressionUUID->"40b90456-e65f-4936-94f0-aa9e157985d1"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"-", + FractionBox[ + RowBox[{"A", " ", "B"}], "\[Pi]"]}], "+", + FractionBox[ + RowBox[{"A", " ", "B", " ", + SuperscriptBox["\[ExponentialE]", + FractionBox["1", + RowBox[{"2", " ", "B", " ", "\[Theta]c"}]]], " ", + RowBox[{"ExpIntegralEi", "[", + RowBox[{"-", + FractionBox["1", + RowBox[{"2", " ", "B", " ", "\[Theta]c"}]]}], "]"}]}], "\[Pi]"], "-", + FractionBox[ + RowBox[{"A", " ", + SuperscriptBox["\[ExponentialE]", + FractionBox["1", + RowBox[{"2", " ", "B", " ", "\[Theta]c"}]]], " ", + RowBox[{"ExpIntegralEi", "[", + RowBox[{"-", + FractionBox["1", + RowBox[{"2", " ", "B", " ", "\[Theta]c"}]]}], "]"}]}], + RowBox[{"2", " ", "\[Pi]", " ", "\[Theta]c"}]], "+", + RowBox[{"3", " ", "\[Theta]c", " ", + RowBox[{"FC", "[", "1", "]"}]}]}]], "Output", + CellChangeTimes->{ + 3.826011382494484*^9, {3.826011538906604*^9, 3.82601155203708*^9}}, + CellLabel-> + "Out[418]=",ExpressionUUID->"e84b103a-4734-481c-bc68-32680f2490ae"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ParametricPlot", "[", + RowBox[{ + RowBox[{"Evaluate", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"R", "\[Function]", + RowBox[{"{", + RowBox[{ + RowBox[{"R", " ", + RowBox[{"t", "[", "\[Theta]", "]"}]}], ",", + RowBox[{ + SuperscriptBox["R", + RowBox[{"\[CapitalDelta]", "[", "2", "]"}]], + RowBox[{"h2", "[", "\[Theta]", "]"}]}]}], "}"}]}], ")"}], "/@", + RowBox[{"{", + RowBox[{"0.25", ",", "0.375", ",", "0.5", ",", "0.75", ",", "1"}], + "}"}]}], "/.", "sol2"}], "/.", + RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], "]"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{"-", "\[Theta]c1"}], ",", "\[Theta]c1"}], "}"}]}], + "]"}]], "Input", + CellChangeTimes->{{3.817632402392982*^9, 3.817632515056671*^9}, { + 3.817632566288678*^9, 3.817632585257243*^9}, {3.8176665668940477`*^9, + 3.817666597156199*^9}}, + CellLabel->"In[13]:=",ExpressionUUID->"802f97e2-70b5-4c0e-b977-f8a2e505bb60"], + +Cell[BoxData[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[ + 1.], FaceForm[Opacity[0.3]], LineBox[CompressedData[" +1:eJxd2nc8lt//B3BEZvaqfEoJRbYi61BGRoiyQrJnREUkZNz3dUelYVVICElW +Nu972OtuICTSQCpkJ+N3ff/9/cPj+XCd6zrXOef9Oud6POxzDbTyYGJgYCDj +P/73+6DjHerSwQaklT0ZYNtk0cBLXw/dztWA9PxN8lV+bYPispma3bP1qDFC ++sJ/UwLwueX8J+vX9UgG+aj9GZOAyzKhpWt69Yh8rdY7g64CWt/Co/Y71qEt +1b8L8yUnwH/XAHn4fg2SZNyybQywBubkj29+875Gt9ZpBQ0/XaG9b+FUqvsL +dHcyqeHH/WCYY7il5xr6GJVZbxdj5giHaAsS6re7iDKXA7kzlaKBt1clLbXy +IRQFtogO7I4Fl2ft4cZ8KWAfev9nmWQs8Bbf2fYjIAU4hBZMEhRigWhbyfpH +KhUcsLfloidi4a6w3fCBtDT4V8aKvvnEQtAR9sLdoY9gSMyBQ6QqFk7+Y1vO +uZ8N825XEv6cjAM2mnOc4cF8+FHPsPXCLh7SypS2MdvlQwblPMHpQjysXrSt +ryLkQ1z97L3tvvGgbvPow7+JfGA08FFHEfHwYICZzJz3HNi1TUdNnsTD50xn +S769hRD6N/FZ91g8FJ+SCxTiLIY1rbH0m84JkCbsIBp+rBiyORXHpTwTwLFk +aO29VzEwpTa/owYkwBmTt35ezcUg5VZbO349AQ6r5mxwRb6Et+YztfUZCeBN +7/xs9asEtD+MPRnvSwCOe4/euY+XAus/5tGN4wTobVR4GrNSCh3+GTsjjAkQ +7m2kk76jDHg9ZkLmLAhwXYPxW82xMliTpWE0RwKcfJv5qTa5DE4W0x05rxJg +sCMGo+qWQ56UYfX+5wRgmJygzWRUQLpGIPu1bUS4ODvt6lFaAVYOdtg6GxFa +rwa/GWipAFEXC8swbiLsYeISKZqrgM+zt2rsdhIhjdPHit+wEuIO2wo3yhMh +7kdnzI/ZSjh/Sv+QkB0R3N/K0cpRFVy7W/aWM48I25uMdf6zroKcopNEs0Ii +HL73WDXWswp4ju15kfCSCGx/Ju7pJVVBgMHwscnXRGDAuIWJw1Ugk7uRbt9K +hMV9hUe1LlfDXkZJe+YJIsyvcI7r5tZAX+Vy7DVxDHT7mWm7qmtgZOXc+A8J +DAQzVMXnOmog5Zxmr7U0BibD6mZJszXAe/2rg6A8Bquqfb7JGrVwkcvw/ElN +DBysbahkei1cpb3kjTyDgbwqcbh+uQ5kroyz7ruJty9m+nCHox4iKo6c2ozD +oHXRLNZ5Tz2YyO+Q7SNg8G7Z8udPg3qY3S1b5ZOEgSEI/219UA+HYiNVtNIw +yLmQznlDqQGC6GnC0cUY3B3jZdnQb4AHHD0PJ0swGJGzK7lq1wA1xYYtRmUY +JGra8DpENUAIYtOcf42B/m5e/vHuBmD51v1itgnv369wrjnPRhjfPb6QRMdg +LnCWaVd4I/y8tSkb8xYDjmaVQp2kRthuk3A44D0Gzp9kWcIqGiEy9WeiwgcM +HPuG1oq2GuHkZfKS0ygGTB+7A4v4myCmZPyRyGe8ffmdB7mSTRBxIVe4cxyD +w2/jfhNNm6BwUfHuzu8YdL8//IkvtQn+Mwtscv2J388p881EYROM7stR/foL +H6/qsZCqhiYQa2255TiDgc7I2w6DL02ga8b99dgfDKKnQyoOyAEE8DFeyFrG +52PZTZKOABQiBDkmVzB4817C6LIVwEvh6GzpvxikbPJnlIQCHH+V8ej+PwzC +RV9FfqUAUEeSloUZSLCaderHwfcAjL5fvAQZSfAu/XqFzzeArRfrtZxMJDCf +bym7uI0Mch5PWKa2kUD3p1p6qyQZCjicnG1ZSRC8erLDRp4Mbs+K/kqwkeCN +Tk7Bt6Nk2O7/L2oat3Co3JW/RmR4/aTTyoODBL0P8w1YfcnA+Uj2CP8OElz0 +/zsbF0yG6v7HZiW4da4/MGaIIENdjou9PjcJPI2ecczdIgPfLJedMw8JyEwi +we4PyFDxJNHsC+6TK++IA4/JIK2dpOnCS4IvtySaK16S4WLtcW4TPhIsytZM +7akiQ9f63cXXuFVZHjYQmsjwbePe8G5+EuSI1KGZVjK0iqdQInAjN+lgKzoZ +dvFOFfXjZp8asa78QIYdjQOphwRIwJQ//E3gMxlOnS/FQnEfeiIueWmKDEuX +aTGA+0ZPiWD3HBliqM4xjIIkYFCLrzjwF39/q7eYNu6yoWeMEYwUSLvq+zgE +d/Jrjq1edgo4tFyre4Y7s7P2hTg/BWzFLL734B4SLWMN2kWBP5kae+Zx62fP +8Tfup0BKVaInrxAJPrqE9bDKUiCdPwUO4s52OKlmqUKBIwXPZTRxP0hysUzR +pEBcOX+hEe6qv2TR4RMUsCg/qGWOmy3L5+5uMwpIXNT8/j8nRDpUO5yhgML8 +4zxj3MoP7yelOlJA7m7WDR3cOyYEBd65U8B77OElOdzCQaNGHAEUeNbwLkoY +t5nKnKzuFQr8My4s+ov3t1TBBEIiKbA4478w8L/+e/xizIungKndpXMluLf3 +DSy8T6IAYxjHtyjcixHsDxlSKHAsPvG2KW5+p7jvMpkUUFw3deTD7Rxq9N0q +nwIqmU/M3+LjPdhp9SCshAKRlwY8b+GOss2ff1RFAU2KaT7CbfPfcYbGJgqE +/WfNPYPPp4OYVOPHVgownzuenYL7d0urPv8HCnw5oGQ0gK+PiKBYHpkxCuiV +f3IOwK1+hoihSQrM7O/O28TXl1ab7y23FQrw5HS18uC2lBmON96iwOkKWbV7 ++Hpc5yw0lGOlAsF5VogH9x5Tj90zwlRYZayQWMXX990CK4WuPVQ4Yqt11h33 +47gs9nwpKhgyaK11cuHPr7HlO3uUChL1Fc8InCQ4xUvTOaRDBVfx6qJPeP3U +TCQp/zOggk60kYw87rM8xwPSzuLPIxxMa8LrrdjigELNZSrkNhdZPWHB6+nx +rTvh16lQbPder42ZBF5eVlUacVSw/E2p+InXc8y1TZvK+1RQ0+CXPIDXe1/i +m2+J5fj1ny9fsN7E4ECvSph2HRWO61NIpzcw4Ly9/PYnhQobR8X0TNYxeIZl +DOq9pcKV51IOsmsYzAQ6Kr+fpYKCZu2F4iUM1vPqVy+tUCF55plI1CJ+vUN4 +PPcWFcxll9zNFjCoQsLzutw0KOr61zkwh8HGapvIrcM0aHy7NlWE5yPDQYGH +ld404FZKvnsaz1eSkS9FIYgGr9b47Xvx/C35Ll5ZEEqDGt6hHoNPGDQ8Kf51 +P4EG3h8vUQ4MY7C8rl1kkUsD2YNPl3LwPP8cetLWcYwGQZeEap+2YCB8PvKh +9SQN9mn/R3pKwyBIV+zIyVkaGCeXyD+iYJD6JzXt0BYN2EOO/I1oxKB4B2Gu +e08zxIWcoy1U4vc/rP/toVMzBBRbFDbm4P2rEj3m5tEMMWc2b5zLxvczDdtZ +uYBmCBQMP7HwBANZRf7o+uvNUPypMos3HYPG/ijl6kfN8MvkVD/THQy2WDU+ +Kg41w499UNV6DYN5lRLDvs/N4CVdYsQcio+/Q6LAlalmIFRvftG8jMGrBwlv +S1aaYTi6EqVfxKCJFjzKJNwCyRaCVC43DNbYZLTkrFqAr68yaNAEgykFQdZb +7S2Q6cZTxS2Mgcbe0lAnegs4MQf86ebH93+uy9lyAy3wG+nIJfBg4DIasqvt +awuw/Nh48YMNA1cP69LRzRY4Zm8xc/kffv7YSHbLVm2FYvKXjidjRKBb7ZgK +yGwFwffdLCdyiXBkocBpJbcV9Ay27XHPJsKBZP9bN160glCunEf0YyI8bvHj SahphZFt2glFD/DzCa9J7bV3reBO8NVqiSOCjlLCgwWWNthaHqQKuRPBKm3d W8mvDbrDRe/J7SWC1qCA7OqlNiiJnzOy3UWEWFEZ1BCGu7szMUKICIoZ1k5a CW3Ary3RVcFJBOacjEtiT9sgdi/Z4usKAe7SVv+eG2iD961RB3TpBDhmvoQN @@ -2557,99 +7333,95 @@ Cell[BoxData[ RowBox[{ RowBox[{ RowBox[{ - RowBox[{ - RowBox[{"{", + RowBox[{"{", + RowBox[{ RowBox[{ - RowBox[{ - RowBox[{"t", "[", "\[Theta]", "]"}], - SuperscriptBox[ - RowBox[{"h2", "[", "\[Theta]", "]"}], - RowBox[{ - RowBox[{"-", "1"}], "/", - RowBox[{"\[CapitalDelta]", "[", "2", "]"}]}]]}], ",", - RowBox[{ - SuperscriptBox[ - RowBox[{"h2", "[", "\[Theta]", "]"}], - RowBox[{ - RowBox[{"-", "2"}], "/", - RowBox[{"\[CapitalDelta]", "[", "2", "]"}]}]], - RowBox[{"(", + RowBox[{"t", "[", "\[Theta]", "]"}], + SuperscriptBox[ + RowBox[{"h2", "[", "\[Theta]", "]"}], + RowBox[{ + RowBox[{"-", "1"}], "/", + RowBox[{"\[CapitalDelta]", "[", "2", "]"}]}]]}], ",", + RowBox[{ + SuperscriptBox[ + RowBox[{"h2", "[", "\[Theta]", "]"}], + RowBox[{ + RowBox[{"-", "2"}], "/", + RowBox[{"\[CapitalDelta]", "[", "2", "]"}]}]], + RowBox[{"(", + RowBox[{ + RowBox[{"F2", "[", "\[Theta]", "]"}], "-", RowBox[{ - RowBox[{"F2", "[", "\[Theta]", "]"}], "-", - RowBox[{ - FractionBox[ - SuperscriptBox[ - RowBox[{"t", "[", "\[Theta]", "]"}], "2"], - RowBox[{"8", "\[Pi]"}]], - RowBox[{"Log", "[", - SuperscriptBox[ - RowBox[{"t", "[", "\[Theta]", "]"}], "2"], "]"}]}]}], - ")"}]}]}], "}"}], "/.", - RowBox[{"B", "\[Rule]", - RowBox[{"ruleB", "[", "h2", "]"}]}]}], "/.", "sol2"}], "/.", - RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], ",", + FractionBox[ + SuperscriptBox[ + RowBox[{"t", "[", "\[Theta]", "]"}], "2"], + RowBox[{"8", "\[Pi]"}]], + RowBox[{"Log", "[", + SuperscriptBox[ + RowBox[{"t", "[", "\[Theta]", "]"}], "2"], "]"}]}]}], + ")"}]}]}], "}"}], "/.", + RowBox[{"B", "\[Rule]", + RowBox[{"ruleB", "[", "h2", "]"}]}]}], "/.", "sol2"}], ",", RowBox[{"{", RowBox[{"\[Theta]", ",", "0.0001", ",", - RowBox[{"\[Theta]c1", "-", "0.0001"}], ",", "0.0001"}], "}"}]}], - "]"}]}], ";"}]], "Input", - CellChangeTimes->{{3.818229654470503*^9, 3.818229664356482*^9}}, + RowBox[{ + RowBox[{"\[Theta]c", "-", "0.0001"}], "/.", "sol2"}], ",", "0.0001"}], + "}"}]}], "]"}]}], ";"}]], "Input", + CellChangeTimes->{{3.818229654470503*^9, 3.818229664356482*^9}, { + 3.8260078291786537`*^9, 3.82600785062656*^9}}, CellLabel-> - "In[237]:=",ExpressionUUID->"9510d7f0-79c6-409e-9c06-caac79aa83b9"], + "In[129]:=",ExpressionUUID->"9510d7f0-79c6-409e-9c06-caac79aa83b9"], Cell[BoxData[ TemplateBox[{ "General", "munfl", "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ -\\\"896.0208002866729`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ -normalized machine number; precision may be lost.\"", 2, 237, 125, - 31534864382615644419, "Local"}, +\\\"756.4800140155422`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 129, 88, + 31536476197453219063, "Local"}, "MessageTemplate"]], "Message", "MSG", - CellChangeTimes->{3.818229672297361*^9, 3.819021384252611*^9, - 3.825758708769273*^9, 3.825762989163801*^9}, + CellChangeTimes->{3.82600785442974*^9}, CellLabel-> "During evaluation of \ -In[237]:=",ExpressionUUID->"fe75665a-a91b-4812-9030-29950d98adb2"], +In[129]:=",ExpressionUUID->"b9cd98f1-c229-4f5b-95ec-13d954ebd59a"], Cell[BoxData[ TemplateBox[{ "General", "munfl", "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ -\\\"1341.0414873286811`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ -normalized machine number; precision may be lost.\"", 2, 237, 126, - 31534864382615644419, "Local"}, +\\\"814.9976611126508`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 129, 89, + 31536476197453219063, "Local"}, "MessageTemplate"]], "Message", "MSG", - CellChangeTimes->{3.818229672297361*^9, 3.819021384252611*^9, - 3.825758708769273*^9, 3.825762989168168*^9}, + CellChangeTimes->{3.8260078544362383`*^9}, CellLabel-> "During evaluation of \ -In[237]:=",ExpressionUUID->"58e0a5ad-eeea-4143-a08d-fb54fe6ebba3"], +In[129]:=",ExpressionUUID->"ea96e00a-9fe6-4d33-80b4-d0a9eed78731"], Cell[BoxData[ TemplateBox[{ "General", "munfl", "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ -\\\"2675.5803003109418`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ -normalized machine number; precision may be lost.\"", 2, 237, 127, - 31534864382615644419, "Local"}, +\\\"883.4012117774695`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 129, 90, + 31536476197453219063, "Local"}, "MessageTemplate"]], "Message", "MSG", - CellChangeTimes->{3.818229672297361*^9, 3.819021384252611*^9, - 3.825758708769273*^9, 3.82576298917185*^9}, + CellChangeTimes->{3.826007854439575*^9}, CellLabel-> "During evaluation of \ -In[237]:=",ExpressionUUID->"59272a22-6940-438a-800e-5503202b4803"], +In[129]:=",ExpressionUUID->"a31115cb-de8f-481d-994b-5bc9a83710b8"], Cell[BoxData[ TemplateBox[{ "General", "stop", "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \ \\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \ -during this calculation.\"", 2, 237, 128, 31534864382615644419, "Local"}, +during this calculation.\"", 2, 129, 91, 31536476197453219063, "Local"}, "MessageTemplate"]], "Message", "MSG", - CellChangeTimes->{3.818229672297361*^9, 3.819021384252611*^9, - 3.825758708769273*^9, 3.825762989175284*^9}, + CellChangeTimes->{3.8260078544421463`*^9}, CellLabel-> "During evaluation of \ -In[237]:=",ExpressionUUID->"1e29dc80-5173-4165-a235-b6a37303c499"] +In[129]:=",ExpressionUUID->"667a685e-0e76-4db4-8986-9eaad489f3e3"] }, Open ]], Cell[CellGroupData[{ @@ -2678,7 +7450,8 @@ Cell[BoxData[ 3.8177181037494497`*^9}, {3.8177184143696537`*^9, 3.81771842180128*^9}, { 3.8177185702013063`*^9, 3.8177185750580673`*^9}, {3.818229653565538*^9, 3.8182296713241787`*^9}}, - CellLabel->"In[18]:=",ExpressionUUID->"4c6fe8ab-4f6a-4b57-92a5-c94e403d041d"], + CellLabel-> + "In[130]:=",ExpressionUUID->"4c6fe8ab-4f6a-4b57-92a5-c94e403d041d"], Cell[BoxData[ GraphicsBox[{{}, {{}, {}, @@ -2686,3998 +7459,4203 @@ Cell[BoxData[ NCache[ Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[1.6], LineBox[CompressedData[" -1:eJwUV3c81f8XLlQUZeRe17z23rtCZhJNFb5GUWRLSEU2ISN7Zu99XSvqHGWn -aMiulEpJIlEpfvf31+d1Xu/zfs7zPOecz+vzEbT3PHmRbsuWLXvEt2z5//OJ -p/bvNis35JEzHX2vJQSXKUea/NIdUPtJkPVWV0Ww4b3ob5Bohxf34JqghyYI -qwr9+Mb+H77cyTBVXHAQlum/3TJiskD5u7l7/G8YwGbmhXLeodN4RcbSVdTY -GA4ffsh8lWCOh+RHJbbvNIW3BQ6dv6gnkVpgVo8Pj4FVmEDrhTsn8LHZnZme -thNwRb6xrTj7OF6KydlZF38K6LnlSeN3juH03Wc6/udOQ8HO/fG2wkfRIEzv -t6f8WVh4Z224+NYU26xUzV+tW4AHUb7Z4+ERnDHj3z/TbQVF0cbVDZ0m2P/j -cOGDOGvQiuIUXhw/jEa2OyXTTtlCh80ht3M7DuNLTjOJ7l3nYKTivvqmkTFa -uxyhTn09B9MJQhxn0w5htOO6kMCT83CyJei7ww8j5PVyc86otgff0x2Z16yN -MGch9OCpWAfwtau3Vxw2xPzrIqcsnS/AOR48am1miAuuUw6NRhfh+a94r1/P -DXBd56Wrs7AjPPCHColzBjgmc5sauukI3luCFORW9LFwp/PCtkknOBXC7OYQ -r4/Kfm+0fjddgqSwwFF1OX382/bO3D7RGTS0ZepkXujhG2eCn5GLC8SdO3bg -eYAe3mIUj6jUd4WbUUK53VJ6KHAxc08yrxvsGt5YrJ3SxeEa09MMP93A40XZ -E50kXXz96NsxuifusI7+9EpHdFHtfUBbYrEHrL31DDHaoYuBCtvZG294AuX8 -XW+DnoM4+dTmpJqkF9DFXfH/FXUQ38tpGJ1L8QI3u0k6FdODKMs8NGmx6QXt -6eY4yH4QYfyPr6DLZTjOzmug0aKDf1seX2h/eRmYyypn/pnqoATfr4/iOt5g -8cLlbcVHbXzBLiV9qcIb3q0q82wN18Zz81InAjmuwKmHFspPRLTx0cVll0uB -V8Dz++jeqT4t9A7LDZT6dAXo4yKiNz21MLHkaGjXcR9gMuMcZ+bWwij3347q -93xAe1nPZ6rnADoo8+8JF/aFQIfsisN+B5Bs72NeddsXql8X2itJHMBdKlE7 -an/6gmK9wZzf1H4sWzL8ftvWD+zW8mt+J+3HUuFbT417/WD+rgc578h+VE6M -snonfxU2f+nfNNu+H2XbThhaZVwFrmMKtV8f7sNrf+U0G7b4w7FFEX7HkH04 -c5ph4tMlfxjzuF9UrLsP969UdW8M+8PozW3nUuj3obXa4ZRVjWvwVeVTiVCv -Jp5YTxkbyr8Gow5r77Rua2Ldohg5lvE6RI/bxoyc1ETR6JYfEl7XYdakbOsE -tyae1bAbrRi9Do+TNRMOzGrgmdlhk906N6B99pzJYq0Gfn2W2H+m9AaEFlQx -f7iugSs+4o/DWAIgWDnqApuxBrYTTz5K9QmAH3/Xbl0iaOBGh7xQ3GQAxDGe -PPrmgzquqrmau+gFQhTrBI9rszrOJjk8kq0IhDfcmu+23lJH/50nRkb33AQX -zTr2LCt1/PPq0sIlv5uwtn0lTUpOHdWZNlxnpm7C1KGm/ko6dTS3KajV1Q8C -neoST/YxNYxw1maNqQiCVp49DZa1anheKcdnekcw2ChNc1yLUMMX7zoPfdkX -DKVUTj9nGzWc2HKuat49GLo7mhhF1NRQu0y8byY/GFqN5k0K96jhhVPN3YMv -gkE9pmjb68+qaDWdP1C9PQQ4jZwOPetSxZu+gX9DNEPg/cOb5/zyVVHJayHI -1C0EnN+ffdMboIocUqX+zHkhIMIrGYeWqpj54xrTw2ch8Clv0OU/dVVE+3Pm -7gyhUHltqCaZUxXfrQVe360eCs6V9fcvrKjg/mXpnBLnUGBqNVUceKGCp9Q2 -x5RyQuG7k/cgNKrgi9NDx5qfhgK5NDdQN0UFDVc7+BW2hoHF+Mh/R3xVkE1U -wyFfOQzu8dcUj59RwVqp7ft2OIbBRR7be3MatPtnDsGFjDDo1dsu5MujgnY+ -AbvbBsKAMftPyI0NZSSNxuox/AsDQ0XV/F8zyih1rcfXSD4copPGz33uVsa3 -+LUz6Hw4LMLTLpNKZfy8R/lgfXI48Cq5z5ESlFF205BprDscKrN16Mx9lNHv -8VHVtbVwCFUeOb9qqYySB9YmWaQiYNmx2GNDRxmtIt338lpHgOvc31JnMWV0 -2H3pp2B8BFwWZsxTZVHGV5MSqQIYAb3yo5t2K0qorRXCxLkcAbc9AiM/Tiph -R99LJzqRSKjZqU7f+0gJX4zydn86HQm+xVkWm1VK2G0yr9odFQnqASPX41KU -MKze/WlWWyQcC1jy8AxUwnNrnoWX5iPBNE7EpMhRCRdU7Lrl+KLAtkJCUfy4 -EnprmJosHI0Cdtmcs781lVBC+Jt+cXAUhH913iSKKOHPR8VdpyhRkJGt4R+y -Wwn7N66/Xn8fBVcFZvhVfitiyFbJohzOW3Ddcd5ablYRS+4QRNQO3YIQZ7Zy -jyFFFFmz9u7zvwXHtvSF/LiniHzq/XdPVd4Cc/Unfu2lili4PN02OnkLOiba -+buTFPGa0cgLc5ZoUFgs4tkTpIhHWwv/DmhHg9ZIGSnDVRFNZlf093lFg8RY -7lNbC0UkHFZvKyyIBq6Fpt/nDRXx+WyyK8OLaOhwEXbIV1JE8/4VZzuGGFCO -GJjkIiviySfbHjWqxkCr9dKBARZF9BpVjdjqFAMjXitOjesKqH279YFxRgxo -mW4YvvisgGZBUYHR/TGgcfBhr8SYAgY+dBh69CcG6hn3faD0KOAkz2jnmnQs -6Ko45no1KWC/uaq9qE0sdMuyrZ4rVsCiwNz7pvGxUNKTsh6arIDvCOtv3SEW -2IQLcSRUAY+Y7xi/9T0WhOd32Vp4KyCzkAklV/A2KJQkLTPZK+DLwzzXqk/e -BmuBxsLPJxTQ+06RZlPYbRgY8stY1VVAeDC92UK9DSscRvQKSgpIvpk+Sv1w -Gw5pdhBThRSQJcF7sIoQByuagXtEORTw7a0Pn3MOxYEAN4vkG3oFTP54YP8t -/ziIKzlxLOKzPCpNZj92r4iDHi/d0tzH8lim+K/EbCIOFjMuLW6rlUfiAZUR -8V3x8P3F68cdifLoG7ng8Hd/PGReZ/uAV+TxU32d9WO3eKD7EfqV9aw8bupP -9afkxtPeB7ezq/bJ4033+iaLp/FgIS/UmMAvjwqFhlLEzXh4dDJzvZ1OHreF -JCkOyydAVryXgfwnOXR1dh0JO5cA4obcF+Yey+GsTJiA0p0E8OjqU/9YL4fi -w66kyc4EsDp6oEg8TQ4jGNMHby4nQOhMUmLVDTksDJQuiGdLBNF60nev83J4 -3XVRd1IyEbqUya1+h+RQvkbQTFQvEW4ODs62y8phe5dWr5tVInhMLV/V2SuH -CbfqqQ3eiXDx2Bf/LeuyWBM+RlqJSYT54Esr/2ZkcUxq+7pyUSIc9rb6q9Yv -i0/IAdaX2xPhtj6WVdbL4mqgp171i0R49C6a3SJDFp2ZGBtm5xMh6oOPjXaw -LE6Gn6vmZrgDf4Pna6wvyaLqi0iNo7x3ID91VpZyXBbzzAIsg1TuAH1X1y5t -TVlM+KDKUWt6B1KDD17fFJRFfu8c54kLd+ABr079z52yuD5x+xxD4B3g6Xgw -J7AigxSzsXXp1DuwXbbNPnBaBhcDDXRO1NyBr9lM51l6ZZDwOFbOp/sOXCOd -khqql8GRYJsnKdN3oGz+E+PDLBmUXrcRaPx5B4ILG0w+hMvg80kxiSGWJDD/ -TNLV8JTB+9qH5udEkyCWZeXgPUsZ/DWl77ZFOwmoKk6FLgYymGGYXst5Jgks -9o+jsbwMim00NEl4JEGP2sSfU9w0vOY/4ZqRSbCUzEqJ3SaDvZ5PBYzvJsHb -J6JHFr9LI0dRcLR5cxJcbm6UvTkljaPu/3XbPk0CE1OlLvU+aUxszHvl+DEJ -CKSPN3io0thhFoFuG0lwgWOoSyJfGs3F90d6EZKheDOdze62NP6y/yTlLZcM -749Ejt73l8aPUWUNl42SQdLeJd7gojTW303k87RNhgD3xPrlE9L43rTusotf -MuTENdzr1ZbGY9sZGxzik2HM94P0I2lp/CyU/tqqNBk8r6REzHJJ48CWE/+O -PUiGf6POR6S3S+OwmBCr/qtk6O0yok//IYUrFxdJKt+SIf2Uqqr4jBS2f0vl -E96eAqbc1q6TT6WQ5DPPx8qfAuvblhUbO6Rw0PQB37pqCvyMUSLWVkrhQNyI -wKxZCnwUO1n1OEMK6/iWxB5fTAFPpSvBu6Kk0G66X7U+MAX6N7Ok3H2l8FA7 -27Hk1BR4r1+m891BCumHr/j61KRATa/+2ZSTUnjRN6XqVHcKXLN7u9NSVwoD -L7KtKEynwDvRsp9aClI4OhhygvlnCtz95U3VE5BCAze/ng/MqUBR6fnguFsK -hYqunb4vkgpJ9Z2Slf8k8Unanq3JB1LhxRKPEPOCJI5rND92NE+FHblc3ren -JPGr+4cWDbdUaOALfiA1KIlviHv6GMNToSc8veZjuyTeVc7beJWdCpI5XJ+g -ShIPf1q3KWpMBTNZqb3N2ZLokhsx5/6Yln/N4k1frCTy7k3PV3ufCtyzcStr -NyQx2j/i1r8/qeDSu2urvhstvpxf+JA9DdoCHBorrCVRT0tpKUIqDUxue7ZL -m0lidmuQ3yG9NFhgMhvo05LEhIA+lR1WabDBfTopWE4SCfNGct2X06C/mNB7 -UkAS/fUVLoZEp4Ge0HE+HVZafi11cn9BGnzJ+2xiuFWS9pOzmbzSmgbPpr5t -v7gsgZNRaolVw2lwJyGa6e57CTSNv/H83FwaOD5d3/X9pQTu2PxivXdLOmhm -ZvVZ9UigWF2OYg8xHV6G9/2ZbpFAdiw66SefDuqR322vVUjgr7bdD0UOpcO+ -6WCKTLYENiR/Cnlmmw7pfB8b125LIF2fckqAXzoEnY4UmrgpgV//W/kjGp8O -TCc6HrzwkkDvFdHWJyXpEPP7+eFZewn89BGfXLmfDqLDWyJ3nZZAK+02La6R -dPgR6qB2+JAEKg9tMLV/TYfB7HX+XE0JTDwUqGLNkAGHjMsZdshIoIwyL6zz -ZADrPuGaSH4J/G8vVGUqZ8CevL+vedgkMNfJ8K/qkQwoVUg/30MvgQ7UGMqw -fQaEWYr8i1gVx8Vsx2Hn6xlgdTn/utVncXR4W312a1IGbNk9VKQ/JY6OPrIm -6RUZYOSsrq87JI49kdQK6c4M0Jgki5x6KI7fYnf6PxjLgFWnBPZrTeLIc2yl -+dj3DHh77uAkpVwc7X4qXXqzIxP8ucqObMkRRzOO8Dh3gUwIL/+seD5BHF9V -Fkj8UcsEhoFp65FQcYzV09sfcTQTgh9sy7H2E8fsea7e3Y6ZIG8SB6vO4lhj -PPIkLTATah4YZRTZiOPIXeETfKmZ0MVZvmZ/QhwfjlefLKzOhG6evjoVQ3E0 -ySK8FO3KBLOK/5K5NMXRXIt+tGwyE4bnKb67ZcVR6zObjcSPTHjc0SxFEBRH -g8TXTmU7s4B+x8dIeU5x9Gag+y0ilAUdmqfsrJjE8fsaG3uBZhYY9xdEp/0T -wwc7Cqg8J7JgtIN+6v2SGH7p036XcikLxA+ry+p9FMOWp1dzmIOz4O7VcPOG -CTGco4zMhqZnQef4PUnFITE8w/emY602CyKM5SM6H4nh32dEMdeeLDCra9Ox -bxVDroYtQtPTWXDmHUWJo0YM27qJFLOfWSATvKz+skAMdUzHRjuYs2FjelCy -JE0MtVrupUiJZEPKBuv7iFgafofKl7T92RCbvF3HL1gMPa3axreeyob7jG4k -P18xDJhuveDqkg1XM32ORriI4eR8/u0XIdnwn2fPvSI7MRy+NXVyX2Y2lA34 -739mLoarfC9b8+qz4YEyey2LiRhWRS4AfV82pDZFfrfQEcN3zLedHd9kwy+y -2gxFhabXn7WldzUbLlh8seWREkNO4niF+O4c0C8eMU4SEEPdDl39SNEcOLbn -zk0ipxgeHygKf38gB3Y95n5buVMMI7TPeOqY5wBDzksz0y1imFNfw5DlmgMd -ZqHl6z9FscL6r+GP0BxglzN+1jovih/Fk1SOZOXAzsSKirAZUVyv7HhW0JAD -6aejOKxHRXGrYi//Wh8tDuZf0n0iij87//AeeZsDYQPbRVUfiWKczN0nuWs5 -MKqnmKTaJor2dKuKi7tzgbTykUe/ThR/lxoc0RHLBdmE3hKbElFkPjHAHa+V -Cwx8fRwR2aLIxdZdMGmeC7bNiiZtd0RR+JXXjLhbLiTr5sv+iRJFCZ8dk95h -ubBPbWvRoZui+L4SEzqycuGWY1JCgQ8NX+z5lm2UXDj79O3YDldRfBXnKW/a -nwsVTr0Xrp8XxYM3BniT3ubCbQYP0u+zorgtnn3g1Vou6MoZT4cdFcWWi74a -3HvuQjbT3nRuQ1F8V8PvbC12F04fHJe9v18U9cgaNrlad8F58dMtVyVRLI3+ -zDltfhe0skYTRCVF8fGQRQqP210IEYqUmhcQRd8fFeMWYXehu4ug20EQRW+u -zY8pWXchlbTUnsEiiq9j/O8PNdyFn9wYFswgilIPVGyZ+u+CldzlkCvrIihm -cXxA9+1deKKkfPfysgjuV/hId23tLpxM9n10/bMIelnsYarbnQdnbT5NxL8V -wRP876ffi+aByn9+T2tGRZDMdjWUqJUHqUpHb40+pd3f9mbtsHketESOLu/q -EcF1oqzODdc8iOJv+WVyXwSXqZctq0Lz4PjuJ+EpVBGcymg/NJGZByIflEPn -qkSwb4y4i7EhDx5P60wZFYng4Os7xSp9eSDDcfNmXZYIxvgrc557kwdSrY3m -Qkk0fkMMtjGredB7ctokL1oEw/Zvx/Ht+VD2R9ZMLEQEDzWJP3Bnz4d7WbuN -W/xFsPjWnORW/nzYq8YncdJLBJML++lTJPNhSl5mYtVJBKUkj5iKqeaDQZru -kRI7EawP+krfejAfrnmlXbI5K4JbjGSkD5vmQ+ieNAGBYyLoaHPr4fjZfFg5 -P23zxUgEJz8EDjg70PJN9rGBtgj6GETr//bIB4HfleK5aiKoIiwmd+t6Pugd -skkIlxPB215DMYTIfDhAqFXzFRPBHxc2LYvv5ENavQSzJ78IloXI5yjm5sOw -bOTGZYII3k0eO/GgPB9yx6r/Bu4WQXGq9w0Taj7Updf9TNougnWmvqRXkA+P -LJ6M1W8IY9reszLnH+eD8k2v1NFVYdxLjKfOv8qH5qNyPDsWhXG4PoHi+y4f -bjj1WOp8EkarlGGxzYV8CFYQ0g1+I4w6/V1st37nw65T5p39o8IoWP/mCuu2 -AjijlDHAMyyMz7ammGWwFoCt4wkzvz7a+fNTeQK8BZCvsWvfOArjzcRE51Lx -AhAQ9g8xaBNG+l3t1TLKBUA+cXlva4MwTrvpO1O0C4BLaPW9cqUwquhl5qmb -0PBqpWdaCml8rkkf7zhdADNm1v/0s4WxxP7SjYPnCyCbvCY5liyMjyn3Bbvc -CmA+I8HC57YwLoZn6B/yL4DWHdPXuSKEkWB1caY/rAAOS90L7QoUxi88ietH -EgrgU5uIvb+fMEbwhSc9ySoA/n8Hdql4CmMib3Xp0dICeGhl6LXmJIx9et4a -Qw0FEPStIOzhOZofYgeNj90vAFaBMfVUSxq/JzdfPe0rABa1+CDPk8JIqk57 -b/ayAPb/jjE7cUQY48oXPQffFICrYVPKPgNhFOJeumEyXwBjlRzG0lrC2P14 -K2PfagEs7xy0ElYTxtC/UXsN6QqhSZ2WKy+M7899LuhkKYRjKQGukhLCSBWO -rdciFYJGi+VxdUFhPDj37GCbSCFUsljZm3IL44F+wVMqCoVwLXhf6iUOYVy3 -fv2pdn8hSHGPTMUyC6NRo8umxKFCcK0lyzZvE0ZpS8mswpOF0BuqcP3ThhBG -nQ1o5bEthOJfyq0Cv4QwUa3bKsW5EG5o+E3aLgnhm78XQph9C+Hga5ux4i9C -GK/YIRMeXAg7y9yKlt4LIfO0lM16bCG8EdBRNJwWwpJoVg7v9EIoOn3bL++V -ELIbDh6dKyyEA5Gil7YMC2FTQQerbW0hdDz/+cepXwh/N+lYvmgrhHvLW0Ve -PRRCbnKjhHF3IdTOOY2ZdAjhYXqfoI7hQnBrsWXpaRLCS8xvbBSmCqGES631 -UJ0QvvY63lX0qRAuqJx5OlQuhDWLwo2EH4WQb6ljaFsohDIvqFLRG4WALdHs -P7KFcOO7jfQ6UxEIkj5Ix6cK4dGqa01unEVw+y5XlHwCTf/S+f5pchHcvUHH -PXpLCJ/qeTkdlSkCSWr6RHioEJZW/Ut4oF4ElyfeP9AIEEKLAXt9Of0iOP2U -8f6yrxAmDa6F5B4tgvOB2o8pnkK47cpeU2arIrhX9PyNvzOtHitr4fWLRfA2 -TmLJwEEINWJ1w+e8iuDsZOtPgo0QDthsLp8OKAJ2PbbZb2eEcDo979vDqCJ4 -dPIlZfC4EBa9vnpVPrkI3mu1WdSbCCGD53Rc9t0iyMuMHcw0oOXziCrtqCwC -XwnpbdHaQvjnRNEF76YiyM6P/R2oIYTCnNWi01gEmj7UfH8lIfRkSPY9NFgE -xlm45C8jhJKWVeYNo0WgavH6/U0xIYRPhx5xvy+Cw8zHPGLIQuhNbu8M+1YE -lF+Ot7K5hdCO9ezxr7+L4MSeOEnKXiF0tHf3NN9WDJIP9h1+ulsI99sdE+hg -LYbgjvXXi4xCuLhgdk6Ytxg6xtzfEeiF8Fpam1KMeDF09hw8ov9PEDOD36V9 -VyoGrkVVNt81QTziwxV3RrsYqrTJMtVLgnh2qpKz43AxCK69T56bF0TO7jkF -wdPFMBLkd1DqoyDqvCa/iThXDN7qryUvvxVE1hsF5C+uxUA2UjK+PyGIrsmt -P82uFoOuV1by7hFBZOtqtG0ILYa3n48yXBwSxPCjb//bG18M4VIZSdgviHm8 -sQt+mcVwv/OpmmCXIDLd37J3vLgYpGT++xz5gFbfKW5oX30x7KpoKlxqFcQ3 -fwLIOe3FYM/q+N/5RkHk2OTe8a+nGPIq6Jlf1QiiaCklzOZ5MXTTqdYcKxdE -88fxafenaXr76tSfFgrizZXfOnyfi+FsjkbxiVxBzDqlHRywUgxuS4Xz4+mC -GNRdcnZysxhiZoa3OyUJotCLaz2au0rgB2Pjt1+3BXGjkf5JOqEEtp0zzkmI -EkSWI7ddfwqWwDvOu4zSoTR/pK0LT8qWQITrkMzjAEFUSm2/XKdRAtoJ2+i8 -rgqipf/y+C6DEkD/qyEkb0Ec8zGedDpWAgHdzsW9boIYP8Hg98iqBOJS5S5c -dxLE1UqPSn7HEli9JHpP0V4QV9IH/a9dLgG7f/fyFqwFUWT7xZkXASWwX8Z5 -d+1ZQYzZdXNW9lYJHO1v3vQ+KYgp3jahUcklkBei7n7AjOZ3q3H727sl8Ppe -7PGdxoJouDsiQbOyBDivnCua0hPEdMuzm3eaSmCc7GnXqCWI/qoMu75gCXQm -B96M1xBE0+Uhiu5gCViO2PxxVxZE97SN1YzRErDa+W3whJwgPn39YnTxXQn8 -Z871XVNSEO9pJ582+lYCg43PbcREBLH8XZBXzu8SMP7Cz0oUEES6mimJZYZS -sLXZuZWZWxDl9329eYi1FOJ+10ht4xTEgtffvXN4SqGZUy6KjlUQHcplti2J -lcLzM/dYGXYJYpvdjKqhUinsSonrZNouiAORx7dlapUCb/tCMsdWWv+t2q98 -NS6FnU207vwl45/n9iE65qWgfKQoUnmNjEHFUXJJdqVQwtyefXiZjMbaLjdm -XUqhT3m23WGBjL1PTC6p+dH43c6aCZkjY+1+559RIaXQZXlhR/F7MmrKbxMe -v10KYVrPxQdek9GBxXZJMqMUFPmDtFbGyUj9RTl3vagUsnez6guNkHHqud7l -gdpSkFdVUTYfJuPoAVNh7nulgI3FjDGPyRidxnLVubsUghJEHjzqIaPQlm63 -1uFSMMoMPrr1IRmHrOoZdkyVAv+ZBKrefTKWGLHonP5UClxzCvNRrWQUFyfx -Fi2Xgt3a0YXhRjLqCrDlfP9XCrezp5r46shoxKkEWkxloGP4Ssejkoyz9a0R -MXvL4E+ZbuTDEjLK2MwsvhIog/3FsuHcBWRsOTT3T0i6DIYUKSp+OWTcY89U -76FWBldMvieNpJNR5Xzw9nu6ZZD1ki1LI5nmx4NbW7eZlUFs/GHDvHgyVrXY -FByzKIOi388TmGLImHds38dMhzKYNVz2uRpBxh3HLIffe5RBg9bK4lwwGRn1 -f9rJXi+DJ4pyf20CyPg1yDjVL6IM7nz4l/LqKhlZyXFekFgGpjf6m05eIeMG -/b+lHTk0/uc2LZ97kJHl5TPS8bIyYNQiBJ52IaPLpsFcOqUM/CZvc09dJKPA -gwSbN/fLgJ3ni6zjeTJK7Zm/JtZfBssTHZQf1mSUv5eg5f6yDETnsovDLch4 -7nhzeeObMoibF93kMicjUTq9/feXMlg9u/VB/TEy/nR38dNZLQNbi6mpI0do -eNsvjYdvLQebB25nvxiR8U5l72w/czm8/u4peVuPjG1TmLGbqxw+TlQeVdQm -o9fnmJ8nhcshb+Lzw3FNMuZ8sl5PkyuHhPotoRGqNP/uuVdOaJbDisdAlIoi -Gc+wrdDxG5aDpbPk8EcZMhpcFNt2/ng5nBDZcTZHgoyhG/saiv4rh/8MzblO -i5CxZ9Fpx0fHcmAIY2RlI5PxH+n9DgnvcuBJFdo3zEPGcal3FOfAchAULU9K -IpLxcW4WY9WtcnjzoITTgoOMTu26TF+Ty0G4Uw7Ie8j4Jou5SSavHCqO2sR+ -3UnGRCEFZvfKcpDUOenXvp2MHttndtc0lUMOq2pAHB0Zw/pP3f+K5UBocFLq -/iuATNBBlBksBz3X7cm+KwLoy3ic33W0HFpCO9hlvgpgfYbus4p35UClZ6mc -ey+A9IrdCnML5VDfEnWialIA3S7s1hL7XQ7VTP1bfV4I4GLq8VUHhgrI/XKt -Ue8xLf79wLpgTwVYNx+zIz4SwLrU216vuSuggYt5Y+meAD7R+arII1YBlOWA -W88pAvhfAWvBWcUKuHIwYK21UgBvqcg8SD5QAQsbi/olhQKYY3Q5euhQBUix -DzimZwng5VU2+l2nKqBfmtEyIUkAGdQPShvZVkBWQyNHXIwAtg7K0oU4V0B7 -8UxCYqgAUo8z32r3odW/RenJvC6AjXIs938GVcBPk5MN5d4C+Kf0fIF8bAVU -S/0yvu8igJxP9qk6p1XQvic+Ro7aC2BNdL9/YUEF2B9yvbBmReOTqe02WV0B -3x+9nuA9JYBLcQN79rZWwL7a4veHjghg/pNcB9NHFcB3XdrfX18At6bOOYU/ -rYDYc1/v1O6n8VmZ4O0Yr4BVY1epL8oCKPyyOPTHbAW8p6jtl5YRwNrvvplS -3yvgUd6n+5dFBPDIdOD58+sVwBgoWH2fVwC/0X+dSN9eCba7kzZ3cwqgQMni -tqdslaBhsdRwkUUAM0Zb3tHzVcLVmK33O7cJYFPMlcuaEpVgMx/PLbzBj6Fh -JygeypVQ9dCzK3qVH1ftgkuKtCvhm0E49ec3foxOkTsydrgSdgc1zzp+4sdB -j5gi5tOVwKT35+j0G35k2/uw9uC5SpjZbbZgMcaPmqH07j6uldBG19w2PsyP -fQkBr8v8KkH6kWGtXT8//pm3op8MqYQeF0L3l05+XOIfnGSJq4R+3yO/rt+j -1Y/553QwoxIY69j0WBv5kd+Vt9y7qBKWePNyKqv4cf3F6Zzi2kp4/U2JzqSY -H/OorwxetVVCkAun+7ccfvw88rhgR3cl+I+nj6an8mPO5PlGjeFKkLm694BR -PD+O6nVfc56shFbbbym/I/nx4gWhn5kfK4Hz2p2phiB+dL1SIjqwVAkert4s -nv78uC3o+q4/fyshMWK3kOJlfmzzelIqyVgF+fXze3858yOVZWDNgqMKXttk -vH1kz4+Na9kbUfxVUOJbFZTyHz+WVHq0N0tWQaZR11dnc360DXaX+6BSBTM+ -MUIGZvzIUvvoLMfBKqj4XMMjbMSPkoY56rpHquDBw4/Pt+vQ/FUReupxpgpM -9X7qLarzo7NRME/O+SqYeFDgOKXAj7nCMwL9blVwJLlD46kkP4qd9Jz8ebUK -+PfwU7uE+PGMyumjQmFVMOxY+gJ4+JF9533/o/FVYFeslQR7+dFkedjqemYV -fEt/8eURCz+qzN1bKSmugpw+u7HB7fyo31Ns9KyuCjwuzpye2OTDYYPW43/v -VcEFNTvbr7/48P4ffg7xniqAuE9f6Zb5kGBDF3/iWRWYaSb+5ZvnwwsY23lj -qgp+XvG7pTXLh+FnZ2tKPlXB4dEHseen+fCqiuqpoeUqsDdL3Rrzig9DDpc1 -/PpXBeV0sh+ah/iwxdGhX5CpGhbOouJcHx/6aSVlmeythoiXie/4HvJhio21 -6BWBakjn+rR8tp0PXdW/OGdLVUPYELttGpUPW3kuXHqkWg0OhS4C4zV8uG3/ -Mnn+YDVQpUyVyGV86F3akcxuWg3CH3iSXPP5sObYPGqerQZbEcN97Zl8aM5U -Wn7OvhrkGfaJ7Umm1Y/ceyTKvRqirK+ccLrNh+//sy2v8a+GPqpXy6MIPvy4 -UYkvwqpBQL31lEgQH3L1Cqb8jq+Gf0WvBKP9+fDU189CAlnVUGxox7d8mQ85 -oqXcDUqq4ev7eV07Vz68mbnzinN9NWy08MYOX+DDjPV6lfj2ajh8LmPF0JYP -PT0NKJSeagh9ues6nOXDyPT5+VfPquGJpRRR6wTt/NfgzJ+paljyq+l9YMKH -e/7sTuGfq4aWOfMoAwM+/PVhlE7vRzWcSft44qkWH1Z+NpO7uFENfyPkhK3V -+bBubzrhFlMNBD3bWF1Q4ENTq/H2yr01sDtbvj9MioZ3Zx//E4Ea2EuXl8on -QuPr/VZrUaoGZLgULdr5+FA35zs3m1oN8L4aYrYh8qFKQmKTkm4N7GJzraNj -40O3+g8s5qY1UO/5a3/1ThpfY04R37M1UGt3pdaSgQ9fhRv8SrWvgV87p+l2 -bfCik19GTLN7DdiYHVDFNV4kc6hNvvKvAUJlru61JV6sU9H7shpWA3G6HCJq -87wonjXTQkioge291LHVWV7k+6RhoJZVA4V+ef+1v+bF5SK3hNMlNaCxa7U8 -bIwXVbULMn3qa+AK9W3Hsee8GMu4bp/cXgMzzHHJAoO8+HTf3fmGnhowZZWT -/NHNiyPLtcrDz2rgNdvfawPAi2tKJ/Z/m6qBPIpKaEkbL3rNltMxz9XA3Ci3 -dngjL8qNjEdL/qiBjwWrFY41vNjftuOZ0UYNGNhzPjQt48UEmTNjDky18Cap -P1StgBcVaufygvfWQtKgy5xwNi/6lrwTzxWoBaYHpxf3pvIi1c7Jq02qFkDo -azJTAi/msWZdG1GtBbp7Kc+3RvMi5Xmu/tLBWtiq3V72L5QXXctSnzKb1sKO -/4b3/AvgxWS/Ym6Js7VQW3p4x5arvPhgz4K4vn0taKYXxGy/zItVEkmrNu61 -sHr9bBqrKy/K2jVH+vvXAtVzUYz/Io2fRsBYUlgtHLFa1pC348VNge1fq+Nr -Qfv1Qp++JS/Gu/h19mTWwsXTPi/+O8WLmacWLd4W10JVL+/pq2a8eGYjifK7 -rhZm3oWapB3iRWG/sKfs7bVQsGxU36rLi49q31VL99TC/jGWsNf7edEl7LmZ -wbNaeEwXAjvUeHFnq0+D9VQtHHA6aq+iwIuiv7+M+nyqBT9/iUsXpHhxZuJM -5+3lWsgQ6HmSLsKLSRPj7sX/aPqo7xKe8vOiu23qdDtjHfSvaFUxknjxIbWS -9QVHHXzfyOY14uDFMs79O77w1wGbcffbSBba/QKnzi1SddCeGrkysIMXCfYn -dIiqdXBhtd6cnY4XPUxIIbIH62C+jbRh/ZcHs9TeRuofqQNXl6yFylUedPja -c9zyTB0sdrGS/37nwUM83157nK+DoxTbpOPzPPjmPz/FcLc6YD7oolv+gQcz -FYKNM6/WwfFMPin6tzy4sE1GpDa0DmY2HQ+fn+DBUKWsrodxdaDRrZHz8CUP -hqx+kRzNqIN0/WgB8SEetAzQNp8vqoODoyeH4/tpeGNU/c3aOqgYTa76/YgH -o3d6/GK/VwfdiUdrnR7w0N4v0d5i3XVgfiB6ZKyVB68HSVA0h+vg5LoZv1kj -Dw6ZO7eYTtaB3VBlRFcND7KJuoXafawDvZQGRp1yHuQOP87hvVQHV39fLe4o -pPH9ruoS/rcO2m4Qz2jl8mD7l1z9x/T1ALY13J3pPLj/0UFVc6Z6eFNqtXgo -iQePCnHsnN5dD8/YDZ49u02rnyvy8OLeegjhTLpvG8WDehhu841UDzNDXg3f -Qniwfpf+lJ9APTzZyVoZEsCDhase2psi9bBLsaiYeJUHvy0Qw6Ok6kH98Pm7 -9Zd5cPOUWc0ehXoYXwxPMXWj1Qvhv5euWg/XT5iGzzvyoHlXVqXA/nroEPnt -EneeB/3PP7tZdrAe0ouHDZWsefB90jM1eaN6iIzhYZ84w4OB0ZXPm4/Uwxij -2JPwEzwY5+p6UvtEPSx16fgomfLg6mnh5u4z9dD8rJ3hvREPzv4388/Uuh4+ -Vny/kabLg9qRVMmX5+shR0pj1PQAD+LLKs3/nOqhJW6RY7s6DwppvZJ951YP -1y5clX+oSPOvSm+7szdNX5KyeIgMDzLRb3m0eLUeBI1if+mJ0/B4+S74BdZD -3tpc/g4hHqTvLf/8N7Qejtjd4xvi5UGJ/oZTYbfqIdXbyy2TyIPZb4wKmeLr -wdw2KMaRnQe77vuNJCTTzkNsfdVYaH6wHF/gzKyHiEu3pJgYaXw8Zz5n360H -s97rZa/pePDWdc3HgsX1QOfb/Ln5Hze23He8U1ZRD2WO8O3OL25svX/1gGxd -PYhV8lI9f3Cj0Or1QQq1HlzPW6gf/8aNrBM3dTXu1YPb/U1f5c/cuPH8TvZ9 -qAeL34XupFluDNZ9OKHXTfPj9AgP3Rtu1Azk3+wdqIdSDtmbC+Pc+OslldFs -mOaHl37S5EtujIpPXns2Ug8f7lJPDw5x492PfY/PTNZDfI9ADwxw40k2h4jJ -t/Ugui4209TNjdOaXiLnPtbDO03P4lrkxo+hG+Wz8zS9F/JZKtu5cXkbL4fz -Uj10HbjIXd7MjaSXr+wXVuvhqZ1rX3kDNw7+PJBx+S8t1nXgrK7mxmoX68af -WxvgsuSWzYYybuSR0qde29EAUdK/Qu8VcqOX0GbWP+YGSBFjyOvO5cYZzbtO -IewNEPLgzfEXGdzIeVSOextXAxhYHE57n8yNIir3Kbf4GiCLk859NZ7Gt9VC -kVm4AR4OP3m+K4YbL+fvTkuQaAATrivdwhHcqFL29S27XAOMSrXraQdzY1bw -FvY05Qag/3HZ+L8b3Gg2dlaSpNkAqvSOL6/7caPuiS3iOdoNEHvn0mzOZW5s -jNyxS8CgAbqumPl1unGj0q4bIwWHG0CHZz5qzomG53wpUuRYA3xP5CayO9D0 -iEzzlZk3gOPlFkFtW27Uav6YLWlFqz+XV+JmyY0H7yRtqbZrAO06an6uOY0f -+dsRuYsNcIFhnPXZMW706d5+s96lAViql39sP8KNnpOf05S8GkD8y+dDOkbc -2EctTqP6NsDizYqd13W58XyOQaDajQaQLeLf13KAG9++fGXSGtwAPgyaL1fV -udEx89KmZmQDOHd+eaWhTNPLtyO7PbYB9jhKHAyU48Ydt4FP604DsM/NsXRJ -cqMrU17Ug7T/44lqs4hyo0cDZUwnpwFiTk88tSBz46OMHWydBQ1A5t32oJSH -G5kHKxX0yhpA2rOUaY1A8/94hfqj6gbI4O+sO8zOjRXCrGIGlAa4ddSq9i4L -N37a/3W9q6UBnl25Rr/KyI13okzaDO83QPBxiZpjDNz4ZkHdtudhA3h+966o -2iSh5dHOL0Z9tPwSp1WmdRLah/yw7X3SAK+2EZNcVklIOTt579AL2nx8SL7+ -ZImEj7IiNnrHGkDi9I8apQUSDjJvShq/boDreaZSWXMkTLpkrtX3vgGG9NsW -6GdJ2HQ+ScP4cwMIrZiver4hoUdxN0/ftwYIvKOl93qChBMjfz4eWmmAlxLJ -Q0dfkfBTsnZW7+8GaF+8mtP5jIRmvrmqhzYbwFiXtUztCQmrmETaehgo8CYr -dKGmj4SB469FjHZSgCNzzV28i4RijhP+3XsoELqSKVYEJFySFG4y4KTAwM00 -TsF2ErpndI8/4qaAvQCvZkEzCUv5nn7UI1MgZ/i/BGEKCbUFDk91ilIgOecW -obyGxndd795BaQqoZ40OylWQ8ClTXzAo0OIvQfUtxSTcmj0rr61GAQHqPdDL -J2H7r+Lejv0UsBF+9Gsom4S/L3Ia79elwKkLryzt0kk4yq/X0GZEAc8C5Znv -SSRMsVCn1zClgOEW3rjweBI26m7Vbj5BgZa7z//jjiGhAV31eZWzFCAm5hyh -RJBQtF3fg2JNAfMJtDINIeG3yJcOCvYUULhyK2ougIQ3r7no1TpR4KKW9nCk -Pwn789h2yrhT4Nc2eWVxHxIGbXl1r8KbAs4hFbX9niS8k/3IXNyfdm68cdDD -lYReLh9HiwMpsDQaNLfXiYQf7EwMhMIosH4rtOi+PQkTLq1n5t2iwKVka69L -tiTc57JtnDee5hejoxmnFQkPGPhszUqmgPSzXxpdp0lYP3SKg5hJgZpKL0Xf -E7R5e1O3O+UuBWpFpFUlzEgoo5Pyg7WY5tfdKL1pYxLqNDE/jKugwJT+p7Mp -BiRk3Sp6fWcdBXp21VwxO0jzf3KOJ4pKgUSqVgrjARJ6/3Ioo79HAa6Hmy3d -6iQspC/kDQYK8N/4bzpcmYSzRbU3/nZR4NHHe3RG8iQ8ci21y3+AAqSBaDEm -aRKy89uvrQxRoLRE9dBTMRJOiZL3Xh6hwJZGWYdUIRL68U9yL0xQ4My7d/62 -/CSMSLi7y/ktBfaO9UZKcpPQ54/vx9kPFLjx5XjsKicJH064VZ2bp4CuwEp4 -NxsJi0riraa+U0BZUtI7jYWEcQMff5xdpcDXi84nnJlIWE0JvvpinQIek/KC -2ttIeKzT6cPRrY3wUfX3m71bSbhwqkxrYHsjmHfr3174y4VPO02CDZkbwexG -gkjfLy68Ym1Tg2yNUD9nU1a8woWpnl+69hMbwW2/EkfYdy6sOvivp5m3EQwO -3HF0+MqF2XsKGhWFGiHZdGu+4RwXBhBmYqrFG4F0YecDyVkuPB7dZyou2wgj -u9Vgz1supKTZ/y5QaoRHLnsK1ya5UMTpXiKvRiM8FhW+ODPKhU58k+zpWo0Q -c2Nz+5MXXNj/aiiITb8RNJRVIu8NcWFKZdForHEjhOeenKl4zIXJlee5tx+l -5SctELJ7uXD83V7j4FONkOOZKRr/iAtbLPvO/bGg6eX8uisMuJCXNeqCj20j -2H8I6LvWzoU8W61PfXNohHSctfRu4aJ9v52UveTcCC8ZHjxwa+TCHgef5RmP -RliNKf55qY4Ln9U9KfzPhxYXq/5zrOLCnPlL2iPXGuEBD+tLxzIudF093n00 -qBFMZV/6XyriwiOViep94Y1AjRH+4prHhR2TSqm6MY1APlMgdjmbCyst9V7f -S2iEd+RlGf90LhxY6GdXSW2EhM/t68HJXGho/VKpJqsRtnOX3olN4MI+Bzdt -sXya3gjLhfRYLtz+IEc1r6QR3jsGs5RGcSG9gBcXV1Uj+Nj2fG8K40I91aWP -ifWNcN5rLLU3iAsTKqUKmJoboZru4vrEDS7sFhI/FNreCBcmecjfr3Lh6wNL -Y3+wEQb4a+l2+HDhtaTkM1d6GuGG2dMCGjT+oHk0/7gRyvUU/mq6cWHIgVjO -C88a4YBSNOuZS1zIWPnzzNSrRhAoS5i+coELdSLsw82nGuFiyPr55HNcOG02 -lTs4Q9O3EpFDteZCtZvuRQafGqEr4nPsqAUX9saSUzu+NsLene/k/prT5uvj -prfKciN0FsuEC53gwtnfnFrVa40Q2B0VY2LGhWPS7j+E/zVCm1jjQZ/DXCg7 -vSctm44Ki489S/IMuZDBhVGUg5EK3zeDWgZ1aX5Ins+PYaHCvlNlvutatH64 -iTDScVDBOKvytfQ+2ryHWFtf46LC3PyxJRs1Lqyp48j9zkeFrDzb6jtKXLig -aT7gJEyFL0fydvfKcWGurcTsawkq9HZNEjakuLDtTNaX03JUWCK9eaQmzoXp -Z6jTg8pUsEr13XtZmAvvxwXf19ekQnib244aAS68KcYUc0+bCis6ydlfeLgw -3MhCX9GACqnEtiFJLi6s3e3/uewwFZQc6gpd9nIha7Z3AP8xKkxeNeaoYeXC -GbqTf1PMqWA3eZa8xMyFURZk511WVGjXo/SpMdH2o+LTwxA7KmQnyu66uY0L -t202MP26QIWhF/kfe7ZyobhNtJaHCxW6DGct2TaIqPfoqu2sJxXYDz9zsPlD -RAmZKDcrXyrMOunRV60S8X1cp9PwdZofJznU/ywTcXVc4bhRMBXUX5M3TBaJ -yPLvtWhHBBVW6Q6fzZ0novGbkTnFWCo8n3DRXfpExN0XBDLLEmn4+Y7tRrNE -dHfpVuNLo8JEFV9X7lsihg4+60zKpkKLj7fV6hQR9507uo+xgAq6ccaBx8eJ -eG3VID+wlAr5heHS1SNEpLOGH8tVVJC5wXyB6TkRf1j0qlxqoALLzx7RS0+J -OFbv6DDdTIUBhhzPvgEiNgiVBZ3soMKvRp+DUr1EFHROiu7tpMKgwP70uEdE -VNmnFHKglwrdVye8l4GIzYcSHRsGqWDxV/u5RQcRp7SbNcWeUyHi32kqthLR -rK/mT9YoFRLGWbikmogYcyu4Ys80FcrWT/9NaSBiioCGUfg7KqRN8J/bWktE -suTr4V+fqGC/ZqnnWUlEzQMBh90XqECc+l3wupSIK/M89TPLtHPu5cBjRURs -7+lhOPOLCv+ZqI905hHx55nIQwP/qCDNBKWqOURMFLrgr03fBANrQUuVGUQk -VjmnUxibYLDtMlUwlYgcHvnFYrubgG7l9rfMO0S8PMuWn8XRBCZHHt/liKf1 -N6w3ejepCU46iHfFxxDx872B86H8TXBsOsdmVxQR19dEJFaFm6D/jIRLdBgR -8wrfTDlLNoHjpd45xmAiPudnCJ6Wa4KKYv+x6AAiHh/MZjuh0gTdafs1mK8R -cWN7/Z0uzSY438m6I9GXiNJiJls0dJrALfe3Pqc3EbUDr9hUGTTBYsavhWwP -Igb9p1rBb9IELznZGERcicjAnPn+zrEmeHjpUESNExFfjJQxbzvdBMuj+V4a -F4j4cd1FxN+qCbZlCXd3nSMiz/15qXm7Jph4+SrkpA0RT5grk20vNoFzzsOS -GUsiqv0yYXjm0gT5S4vy3meIWDC5f1TfqwkMOi8JMJwiIrfsnsxm3yZ4/E79 -SvoxImYQnx6WvNEEhkRnKRlTInZ0hnzODm4CWUYmg4fGRJQ7quy/O7IJLhqJ -gqUhEbsn538GxzYB6+HBrGVdIlpGUO1/JDaBnxvLq9vaRBw4n/bgYloTrH7/ -5Smxn7Yv4VlMY9lNMP87z6lbnYhK6/36JgVNkH17b4eDCo3/c1n3jtImEE9w -dqNXJCKyDkXIVTfBtV7K1WJZIta2NcflNzSB4gTDtJEUEUcGF8LZW5qg4LBv -9hcxIlYZBrqGdzRBhw83JUGYNm+8HrqrnU2wPW0XWY1MRB2D/u2Xemn1Hp6b -neal7Wdtevv4YBOQPittRJJo+234zu7I8yYoGc52UyTQ9nOl4UfHaBNMEZvl -ptmJmHZ3z1W56SaYUc7Vj9lD2x9Rhi9572jz5eleqcFMxICLGaZsc00g9Vnf -fo6R1n/NkbuhC01ASNF2ydxGxBnfR29/LDeBoGpA5xE6In5YcGW/+KsJ3tnz -Om1uENDGc1T51b8mCAzXsaKuE5DQvdvwEH0z1A1vz3L5RUDOZm6jVsZm6DNN -ERX6ScA72xjUJXc3Q//jnX8nlgh49MoLYhZHM9gtxPGmfiOgbvuduZ2kZtjg -1Ys8Pk/AgdRDFTf4m+FtoqkGyxwBG1r+WX4Vbgbhwy8UH88S8Puzjj/Wks0w -sfvf5ZgZAholxcU+kWsGtitLayavCRhf6M+srdIMy0/GHjJPEpC1IjKwVrMZ -hrWmng2NErDQGF/z6zSDfqmoSMpLAkaR5RQSDJpBp+5Nq+UzAroPjl3ePEyr -16WaQH5KQOfZviLPY83wld28dG6AgPL/tve8MW8GxVinfw29NL5l2WPHrJrB -ejo3OaCLgD2XEybBrhnuXRO9ZNxJQJcPX57KX2yG7ATZ65wPCKgY3UzJc2kG -f+aPfe/vEfDY2z+Re7yaYW920KnGFgL6u+CRIN9mSC+UJoVTCbi3eM/WxevN -gIa8pDMNBKzbtlRqG9wM9PbhJyVrafUZ3LWeRjQDJT69618lDY/jdpdWbDMI -8MZ4vCgj4Ne8MwdqEpvhGfudY5XFBETOkWLetGYoUXrnGFpAwOipPRux2TS8 -5cbG/+4SsM1ij/F6fjP8CdBSVcsm4PH5yVCX0mYIpTZ/YcsgIMNyYO14VTPk -y1q8+JZCQI3efwPGDc2Qq/Dft8E7BPzd6TDW0twM4q2/91XHE7BZtfWVWAct -38uj9XYsAfmu0PekdjaDWsvKRY9bBOTpNStl6G0Gycw+vRMRBLx1I+/qlcFm -WH8udlQ1lIC9r7bse/esGcqHTKO4gwiownt94fgorf9l/gtbAghYHcuRBFPN -ICf4OWjOn4B09iPicu+a4VzNtNYzXxreWG9tzqdmSHJOE2v3JmCs6A+xXQvN -EMJnrlnqSUDuALvEa8vN0L3PwjfJjYCLuzjnP601A8fU7HiQM43/Vl71M/+a -wa/rgKOHI82fyACfLroWyLQtItk6EPBUp3aREmMLrLdb/zh6joCBL10e5bO0 -gF5KzfJBGwJuf8s4spujBa4YTBJUrAjYt0VwLICrBQ48lbaTOEvAs8fbB7/w -tYDa6IcBPnMCMn54Q7EQbgHF8uOWe08QUPN5WkyPRAtcl6EyMR8lIFli7pSK -XAsILVlMMhwh4NSPyd2Fyi1gJHLrycYhAlrpXG/fo9kC9imxb34bENCP7bFl -oHYLpNfVsK7qElDO49XnL/ot8CNU89wPbZr/Z4pdLQ63QE8b7fd/PwE5eg+8 -6T7aAis5988uaRAwrr3MQNm8BTTYj20sqRLwgPRCdr5lC4RmB+APJQKW7OT8 -wGJH03MmJfd/FFd3XI/fF4+WvumzPyWjjIoGDTRUVAplNBFKRVFRESENSUJK -pEQakgYqKu1xzmcaaaCiSSEto0iD8ru/P5/Xfe4957zXfZ7fmrK4Z/PShUHu -pZA1+Sl+UkMWe9vVt/Z5lcKy9urMf6qyKMhWO7zdrxRSP/o2iC8leCWqh3CP -l0L5zU10GSVS76pumObpUtgql+zNXiSLJwPsA5LPlMJ9ZmWbggLRs3KUk9T5 -Uhh9N+aqOk8W/UN7Vp+IKoWwTZl/V80heeHoPuNjbCksaZXNM2XL4oHLcmCd -QPi6ceeoNYO8PyDqV5VUCk0LEy33UonfNmjTVe+Uwv6H1qt8Z8tigE92ZkJm -KdT9VdQ+IyWLN9R8NWY+LIU+n73rrknIYrtFTKbv41Iw7Hfbe09UFs9FzKa3 -F5eC+8DZmDIR4secn74bK0vhRIjsy7opNlr6W0ERknnWnpL/NMnGmylzZi4U -loKko0jAnzE2HvjkoRddWwo7ImZ1MUfZGDNl4DLeWAqf/hu0Xz7CxmUpyYHu -LaXwDGe2bPzOxv3HEyIb20uhRfLh/v1DbMzT1og06i4FVv26v2f62RgR5nkq -p7cU5sQsSEvpZWOWlJ0za6gUgizTN1d9ZKPqsR+rwoaJ3uKWzej4wMb/XDf/ -G/xdCpQwOvztZGPjEe+qnX9Jf8UVEQrtbBwy236YN6MMcM85W9N3bLQ9yqRq -SpbBd5VaJY9mNs6Iz72XNJus24xMXXpN1k2WLZdglMGWpF0djxrY2DzrSs5R -uTL4a7UPWl6y0SXks2zn/DKQ0PLNmn7Oxjnquqc2LS6D+tvvry59ysY1yRde -Fi0tg4Me8qG2fDbGOXYzFZeXwciXUJ9gDhslP1tti9IpA9mZx/fm1LBxglcb -NKpXBqFsZ5vmSja2Hj+U7GpcBkYSaWai5Wy8cVz7ca1ZGWxYk7ZKp4SNB42V -S3U3lUHvTZ7yviI2dmzYVpC+tQxWRfmzrz8m84o/SZ1tXwYXfjNEBXlsLBty -PnPSsQx+WMz+NvaAja+97e17nMugwEXYrJ7DRsevt+du3V8Ghffvl7tmsjGg -a21zqWcZTEkq3rpxl41iWevPLfYtg5Udscfq0tgocb9AKeZYGVDFD2wST2Hj -TKur5WOnyqClU1pubRIb6/p6TfeFlkGn8VDXyUQ2NvVUVb88R/A76Z9WGM/G -+3Hyy/UulQFj93+O366xMdZG7Gr6lTII1lg4Sz2WjdL+Eb3S8WWQXLDwkWc0 -ebZK1zpxqwyslQO3ZF9i43LVfb4fUsvgiFHi+95INq5yrk+zulcGe5T6Dy6N -YGOq9lf+k/tl4Bne+cnzLBsXfBd0Kjwqg+PHPm5/GMpGWofLwMUnZbD7snfF -tyA2rjPiDoyUl0FIUw99ZSAbp2x+dTkB4b+has+pE+TZcUoo5JdBxVGvxJpj -bIy/+umu1osyaFbZzRc/ysbD2gX+SQ1lYFwv0rPVl43ix7x1xZrLIL+y4fuN -Q2ykR8l982krg4slBl8/eBK+cuDW2/dl4DBR0Kp+gOjpn5eB6ecy2Kqd++Tk -fjb+q1hQ92CgDAZDkkP4ruR9iR4H1o8ycD8ytpKxl4320jWNIaNlYCit89Z1 -DxtPfysz+TJZBnUczoHHjgSfptZ7NiLl0Hhyfo/IDjYmdC6dKhcvh29hZZvs -7Nl4VfWB5RLpcrC4Mzvpng0bjzYdjIqmlcO45NXmsa3kefwgjLLLocyxYnLz -ZtJPbkHf3nnlsD1dVCp9ExvPSW6ReLawHGz3fvr324KNL+aunaOtUg7ugc1d -W9eT/sauKCSpl5PvVZvMTBM2bnxoIS+qXQ4rr9bbTRuz0c3Ma9Zh3XJICHnR -u9OQjVJCkaEmw3I4+bDGtVCfjXuMmXxj03JQUVRBGV02fsvNvpq1oRziNwWL -ea9k4w45gS11Szm0zjBe/lSL4B/sL3nKthw6rnwyUF7BxvltJQUfdpTDq+Tv -qhHqRA/qt2wsnci6afvfj8sIPt4LPxW4lcO9v0qF5ipEf9H2h+ceLIcPRVaW -WUvYaHLBoD/8cDmMFr/gzFrExrAtrbsHj5ZDeNmSeYcV2LjopQHH/mQ5zHrX -5NA4j41/f7rNrwouB99EZ9/V8my0eOR4WCmcnP/e+OBtWdLPF6WC6AvlYPBv -dO1MFsm/8LqBX9Hl8Ou+xKgXnY01HrvknePKwXP8x8XXFDYGHmswEiSWw42D -upOGs9n48LLu9uUp5XD2neOmLCk2Gkcn7Eu4Ww4vYtv86ZJsfGXz030qm/Cx -em1giBjxd+EOJ4+8cuC/kdgzMION7peEm+oKy8HqXamc4z8WZt63VFtdVg50 -RnO+8C8LTXp7RVKqy2GioEdRd5KFn6mZL8V4BH8rD++sMRb2/IqKOfysHLLr -umPkRll4wi1tfVNdOVCudl66NMLCJ4r93wzfEL4tupz/fmfhnjHf2Ix35aAq -4i115CsLtfP1lKW7ykFvlWT0pwEW5ktaPfb/WA7zi4w+7+pj4VpBrlZbXzm4 -5V1jNX5m4UTmgSzTb4S/ghj5jR9ZKH4wlH7/ZzksySv7WfOBhZt5k0dpEwSf -/qS7el0svHqs5+nJ6XJIpFQrF7Sz8PQKI+Z70QrYtzAnWL2VhddzKA4bpCog -48znrKwWFnrEu0blUSpAqX86Y3ETCxl39UtYrArYHxB6LO0VC1+cSXkbJF8B -Fje/sRY0sLClNeFbj0IFFCxsu3D7JQvZu5f9sVSqAAP9l7VzX7AwKGfP1GPV -CsB9Nh+SnrLwpbfuqJwmOT90hD9PwML35tATuqoCPnDWBqZwWej+7q/gs0EF -PKnh/FVEFg7wR1O3rKsA672zrDOqWSiS89inyLwCRnvS/JZWsnDZglU6c60q -QOMLe29uGQs/VEcOhVlXwF7ncXmdEhZGLHqU/MWhAi7GNt8tK2Lhsc4is227 -K+CjgtH4ugIWfou43fXEpQIuiVbKP8sn9e8fPjLPowLUo7slbHNZKNa2fPys -dwU8cl4HbfdZuOTe54A+P9Kvv7uZRzYLu+KS+rcFVMCS+d2xP+4RvDXt7YtP -VwDrn0V28F0W+s2QLZoXVgGmskoXpe6wsCymf1b4+QoQPJ6tk5jCwvs7mxz6 -oiqA4n/tnvJtFoZ/6Lix7WoFHLM1f//kJguvZEs1PEmogOFbpd3mNwgfam5T -c29XQFN/yMPm6ywM/Ni/6OydCjioo2Z08BrRw9YHRl8yK+BuqfX1iSssNOzK -2br1YQW0UsMfR0ez8NTsIYeixxUQsGT79YVRLDTffNpOvqQCbmg4GxZfYOHy -2bs3nKmsgPqSFTlW51n4uuaa1mesgMbUva0fwlnY17iUvllYAfMY4fUnwwj+ -+Yv7HtdWQPmVFReooSzcjReLZV9VwOeeiZk5QURffq6BwS1kXo3TpqaBLExY -9HhlT3sFyLdZmLWfYGHBmtBPG7sr4Fv2T7ETx4m/5r+6nNdbAQ53516i+7Mw -ftkjVeZQBbCV7Orz/Mj8VQo1p4YJvy3aTVY+LBxaqWLZ9bsCwh/bJvV5E78N -1L5Y/7cCMscsF17wZKGWgez6+zMq4fjaIg+VAyzUPyFdSJGshPfuKt7C/Sx8 -9LtA7vjsSniaaLT8oBsL38rQjrfSK6HcJjZ/lgsLO2ZrPF0rVwkPt5d9feDE -QtP1s+n35lfCnTLbga27WegzXWIrtbgSgt6OZgzvJPhF6VzyXVoJKXvWzb2x -nYU7tc6XvtGohAcGz7cY2rPwt35xh75OJZgWrDDstmGh8cCz8RS9SijcIv35 -wjbC90WhtKhxJZR8mLTU3MLCwzuesD3NKmFF9C2vt5YsPB9/U7ZuYyW8KT23 -PmwjCz+dDaTobK2EKfaOt6oWLIza4zx1w64SbO7mKTWZEb86WX38s7MSwtKX -qp8xYaEKbEBX50r4L91tQG0tC/0rHOMF+yrh84kJt7eGLPSNiHRR86wEB9OY -axEGLDSzbVkU61MJlw9UntLRY+E2+23tP/0rISB+sVz3Khaurvx12fEUeUa3 -w1d1WFhR2rCyOqQS5JbOOWWixcLmgM+vF52rhLbNnw2Gl7NweKGRV+TFSugZ -9yy4q87Coz2tvwdiKqF67fouB1UWKvXwg6yvV8ISogXJpSyU2iA6XnSzErJX -h+yoVCL+0Ll9aE5qJZz3UEj3W0z89zyuJTijEnaq30pTWshCueU/9LtzKqHz -5xXbtgUsVA4qj7PIJ/geSS+5Oo/g+erXx/tFlUC76V+/UZ7U35yjQSmvhPh7 -927+kyXziLYd9q+phD+sNlYZi4V1tKv3WniV8OFhsdlRBgsxqvHNmucET7+2 -Reo0FnLOp0+m1hP+7w8WfJYhecKSkhdtqoTrvdEjd6RZmGgpo3mwtRJO/nb7 -6CTFwoCVT4xqu4geBykR8pIsDP4gaqb5qRI2zNVvahEj+nCaue56fyW8lg9/ -Ez+T5HVR8cqxb5UwzL121l6EhdSvSxbu+VUJqlqzuxjTTPxEsxeDiUo4VX2j -7/UfJuYrWX5Y/K8SZGe9vXN9gonGGrOfRIpVge43f4ntY0z8rHr3zIBUFdRe -ocnLjTLRXoG+fhu1Cmwtd7xrHWHi4Vku0wWsKrhYPbA+5QcTb32+VsCeWwUb -a4/vcfvGxDMFj5wCFatAJ+62gsoQE+UO1PzrUKqCyKMSMYP9TBz5w0syUauC -fknnrIIvTHzqJVx+T7MK5qzc6H3qMxMf3astk1xdBQKqz7t1H5loeKfV8NCa -KrCbOPFDspuJ7tt+l9Svq4L4SzKFjV1MDExbqqZjUQX3b7bOT+pgomz4sYQE -qyp4YBSh5d7GROeP78fHrUn95yVDK94xsTjf38FpexVUNc61nWxmokq9dg7s -rgKtRbudhW+Y+EN1ya/FrlXwUahAv/6KiaU5W/QjPargxX/Mw64NTMzVfHK8 -37sKov27fVbUMdHqrsv9LUdIf7hKduoFEyN6HFoeBVTB1ZFS95fPmPi28dYf -RlAVCNfL7koWMnF48yr5E2FV4KD2Z+Qwn4mK2mqareerwMiRobOWy0Rpp7PG -Rper4HeFpCwNmfgma5152tUqUAu6kNpTTeYb8F4/80YVxP41ri2uJOt/Zxl6 -3K6C9M63ty+VM/HEE0X1Z3eqIGhsBm1vKRNnfH7CVM+qghRnr6Uri5mIrvW/ -Yh5WQalzZfesIibeGD9a/+NxFQScyVz7/jETW4Iy79iXVMG2iGbjknwm2pT5 -HiqpJPwenOiKyWWi6ek3K+Q5VfDSCRYdeMDE/dGtA0HCKvB/3Sy+LoeJ06WR -aV21VfDcdzBqThYTOfwPW0xfkf7pjx6PZDCx/tTXkYyWKgh71XCiLp2JozcL -r0l0VIGsyFRHThoTrftWq3p1V4Gncm9PRAoTk5eFlNf2VsHIDMOLbreZKDL3 -itmKoSqYiHn4cu0tJu4M8uVfHa6C7RNfHs1PZOJdKaV1P39XgfXDO9p/4om+ -wp4Ubv9bBfvNIm3b4pg4laSsWDajGhjxltSKq0ycRQ+JmCtZDYW5t72TrjBR -Owl7gmdXg1HD8v1B0UzcOjRq8J5eDQoBBeNOUUwUVi6OMpWrBqlt79TWXST6 -q9zyJmN+NdSsc5hYFMnEzuRAtsTiavji8Xa/eAQT+6mPbDyXVkMHneXdf5ac -zxuJeKFRDWdeVEnXn2Fi3X6rQg2dahDZErGpKISJO1Iq313Rq4aKCwsW3gpi -4n9zt4z/MKqGyQzDuDOBRH/hM+j2ZtXQ+eda6oGTTAwN7V5cvLEamIpN5tsC -mBhWNLxcbms1lL0qjtA9xkS2UE8n0K4a1GcPOiseJfPsKtds31kNbyaXNs7y -I3xTglWMnathxvTC9pHDTOyNPC+btq8aiu5HhXZ6M3Gla/s/Ec9qOCKQr3jm -ycSF+ud69vkQPLaci3lygImPH4TX8P2rofZQ8PgddyZG2r2/rnKqGiLOV0zG -7CN+e5a672JINaxY/vN6kCvRxz2h2kB4NTiodvC89hK8QpyGNl+shgl/9ShH -JyZq9Xlk58VUw/HVib0bdzMx82TfHur1ajCsb36n58hEr5p+qaM3q4HzMsV1 -2Q4mOm31K3idUg3GI5kh8g5M/FYUarcqoxquaWdqStuRfAtb8DUhpxr+e2R3 -Ysqaid/X2p4dy6uGzehh+2MrE/2CFKm7iqph9lACftxM/AAxNyrKqkF0IIn3 -1pKJq+PT5ebXVEPeXY3dLzcy8UCYa1wIrxo0NEUjOBZMlP+vUeL9M6Kn1haT -0vVMnCgePW5SXw3mc12v5pkSv0q+7Uh/Uw3Pk3f631tH8utM4FrR1mpIXXOi -97YxEx3Sem65d1XD7anjQ9cNmajZK/dd8JHgpSgTEW1A8H2lsHZpfzXYzxrP -Pa/HxKCuv5EXv1XDdtvvB86sZuK9C6XP+39Ww31ObkHgSibO2+ggsXmiGhqt -B6KPa5P8S3hnlDtdDfMX7Rv302RiVr+lj4xYDaRdqv95aDkTB8rzEn2lamBI -eiDUU52J6aelqhooNSCyy++WhyoTldL2tWmxaoBuI79+/1KS/7dqRq7J14DX -9N0gN2WS722LxX8q1IB52lMz1yVMTGiMpzso1cCd22Y3XRaRPB2Qn1OsWgOy -UQ1BLopMbE8onSOrWQO8FWpfXRaQdaNjzJOrakA8iDLkOo+Jm6zsZr0zqIHj -Mfqn9skz8YXK7jH9dTVwt8D9mrscE+euufrhljl539Va7yCb5MPABG/SsgYE -xsVe3kwm2qUkp++xJu/Pt1/mS2citSQksMqhBoSTn/39qUzcnHh384LdNZAy -U93ypAzJs7u0OaEuNVAR9f5BsDTJX726ri73GshmcxLDpZi49kln2jrvGnhu -G0O9JEn8fnLjnjt+NaAjP5NxVZzkSweVPiOgBs4f7UxNFGWi7jojjttpUu9y -Z3HaDCb6jr86xD1D8OHjjpx/DPzm2kJbcr4G3O9anC2YYuBQw7bH56Jq4Mo7 -tdWVfxjocNvE6lNsDUyu1/QXTDDwh1xBl3lCDcQP0fUbxxioeivTJzOpBt6K -xUW2jzLQ9eiSMfE7pN9+X+cvPxl4flgz6EBmDWgv9qz6OcxAD6/GCeGDGuC7 -GGeI/GBg4dL/ji19XAN5Ifl0yjcG5gX29F4oroF5Z4Mk5w8xMPDh3u19FTXw -86Z7hNoAAymzImo2YQ0ULVC7aNDHwHmtOxffF9TA1mvRDMteBrIPvg+Tqq0B -0bQtS3Z9YqD7hGKbV2MNWM1Tr/DqYeDsFoUVL5qJ3kT7W05/IPOadgertdeA -T+jGwOguBj4IOyyM+kD01yaZntrBwMEmwX+Dn2vg69XBrQVtDHx3ZsRy82AN -NJk8OcN/x8ArnLFzD3/UgFvREt13LQyUaG0rk/5dA8mtf44MNZH9oul9h/7U -wL2X05oz3jCwNdSa+VIEIK3um7/sKwYuPD+oryEBcMXiioFGAwP/2JzeFS0N -sFyQds6sjvQ/b0bAEA2gTazXZlctA83mn7+8RRbg4Kcl6UeeM8j3u3RK7jwA -iUPzj198ysCSpFv3Zy8CWPI07vkdAQMNw1cVHFYBMNtmlV7OY2Dbse6il+oA -PcESf15zGHgjPbNAQxtgx++oliFg4BajyAfRugClEbdXStYw8PWxi6lDhgB5 -c/7SF1cx8O6JgpgtpgB7nh85alzBwLn+EqdyNwCYN1Xb7ipj4LW4aOfZWwCU -UrILA0oYuFTUcu1hW4DGvJHrcU8YWPvVZO7LHQBzS/aPPipk4OGgwGF1J4Ci -y9BS95iBOW/GeJfdAKTUavWG8sn+BZxrgwcA1As3z5HOY+C2kLbdmw8DZHlL -nFJ7yMADcywVHx4F8AHcYXWfgUI64/1/J8l5piZPvLMZePTymiTvYFI/2+rq -5UwyX9ZTmxdnAVTrMgdyMxi4KbxmptoFgH8Fcrz6dAaKrFV6fCkawDfogPxw -GgOXjE059l8D0Dnm+JWZykCtFzZTmxIBbks+WauXzMD414tScpIBDtWuk9mT -xMDbaif0Z90FKA7gOp65ycDdg3YNB7MBBN0zF927wcAZy6vdnuYCiFCfeTyP -Z2CMRMV3lUIAWNiq8j2OgQ0x2wIjSwE27Z3az77GwCdvz0x/rgKI1/k73yiW -gc1jdmcsuABbNFJs98cQ/YrU/bn3FODmVPaMy5cZeFzs5zGxOgB68CeNoksM -7GW8+LL/NdHbnblv2i8wMNtw507eW4DtFxi/xCIZKBmTxl3cCeDuFx+7IoKB -Rqwc1fAegOEKz0zHcAY6dwZEd38BEP2+c/W5MMLPT5lBk68A+4rU1uWHMnDC -NcDizgjA8df3ua3BDPRcUXD73xjAaoNUkqEMLN8v/Lp3CkB8rHG1TiADv4h2 -LnCZgZBkLK3scpLUu/qMSxFD6HaVjYkOYKDGrhyPGgny3FLpU3GMgbEfQiV8 -pRBy9ATCvqMMLMrelrlgNsIC47+JckcY6KI516yOgjDFVeve4Ev8NfaxI5iO -kCece/fEYQZ2hOUHaLAQVA/eaMvyJnq3DJ7dIYvw6dPBqLeeDOQ0Wqdflkco -TN9VMOsgA+Pi1VcZzkd4sFDXeo0HA9MYDMGAAgJV4tn+w/sZyHgm7pC0CEFT -ru1bqhvhX1uq21IJwX6N3o9XLsRvtQqHJ1TIfCceHBTfy8B0muVojiqp93Pa -wcCJgW+Do4IdNRCqJ/+V+uxmYHDU5xmzNBEMfp26eteRgalFTudLtRE+eK3u -eruDgXB0ROLgKoQb4jPSZbb/X5/3I2X1EEKuZb9bb8/A7qvnxIQGCF1jvyJO -2xL8e86FBRiRftcXZxZYM3DFg9xJpXUIzilP1vRvJc8uIseaTBH6bWD9oi0M -HD95tv+cOULy03TcZUXyzFtn78qNCGKXlxXEbWLgqVz2qx5LBDPzheyXGxj4 -vHC5WdwWhIHK7UPiFqSfkeACU2uE4dYEXZP1JI+6xBWHbRGuZOb9PG1K+Bh4 -EXXHAUHDwntJyToGUi/X/7LeSc6bvikYNmbgPm2m879dCJarJduWGzHwk/Vt -Xr4TQopPuKv3GgYuc/RattcFwd3ynWO2PgNNKs9cltmHEHiphftJl4Ev+j8M -Vbkj2MpsTl28muy3j91y+CDC59eig64rSb56xTyY542Q9rs+J02bgcU3OyVq -DyPoFp1+26XJwDW24W6n/RDuujWfUFjBwD6R0ApVfwSRwLzIvRrkvmK/obce -Rzhx5ZVEmhq5L/+cO3jxJMKy7bSx98sI34uuV+qdRqCn6u9ctJSB0cMzKV+C -EcZ3yi/dr0z89q55740zCDtizx7IXELuD1NKvkU4gr6vCbtvEQP7E/P//IpA -0DFSXqm+kIHrLMo33ruAYLH3H/gqMDC3SCvOPgqBuyO1snA+A7O2yLXPjEEw -FLxSHpvLQLFAv8WFsQjeB7ymDeUZaJVu6OkWhzCPtdrirBwDjy0PzaUlkP4E -YpNCNgP/RRh8h0SEseic+TIswh/1iJZfEsKG5B+59gySBzpKRxRSENRM8h4k -0Rio6eCYX5eGcKonn91DIXncThkMvotwSUr4VVWGgfIaVioamQirHHk6/tIk -fx/Odm3PJn6NOfmpQopBvo8db0Y9QNh3vmim2CwGNj3VajDIQ5DV2xSzVYKB -buqJYv2PEK6VSEQkijHI/+gV/ZuFCLkrsbd7JgPHLs85tLGYnD9pUawxg/Cx -VT/5dynCm6Ne30/+oyN/+HttZgXx/4K/8bwpOs5pM510qEZ4m9KQSf1LR9ZB -raViiLA8t3iR0yQda8er7Yq4CFaKYbPuj9NR5PtQ8D4B0W+fyO7fv+nYnwOZ -9GcIm2T/kzUfpaPDef06fIFQ1eBjFPeTjlk9u3761SH8cJx++WGYjlwFlTmK -jSQvaFeeav6go0JimmH9a4SKI9/Vz3yjY1nOM+eQZoSvMqMT9UN0XP44I1Tj -HXlOPKqtOEjHW1IrU9vbEPRa9V779ZPzaYFVUZ0IM0rnduAXOiYvPNVq8IHo -TfvrNkYvHU3idUb7ehDm7wtXc/9Ex6+CB9SbnxHqQvN8S3roeJP6cdnGPoSY -FtN5Ut10LH7RafJ7gOTBG4aW03syj03KzsyvxH/jP3MfddKRNrHEx+EHgvmn -smuiHXSkLjh+VvQnwjbr1V072+goz7oaXzhK/CFtHJf7jo6hq09nuY0jHBG/ -lzfjLR3p71aV0v4g1Jut1drZTMctdlwhTCHc/vhePu8NHVdPKjX7inDAb5Gz -t+hrOjoqu/QsEOXAJeuoRbsb6diz7Ni3l+IcKG8zXFdQT8fLu/ZPBM3igK3l -Bt6sOjrekdYRVZfmgKRhaJ5rLR2n4rql22Q4MOpZNlX2nI7z1x9nXqJxwD/z -eRH9GR1n+A3J6zM5QOmIbPAW0nGN1xbFL2wOBNAFNnw+HSUibiy5MYcD+/fv -0lPgEb3Q61Qs5nEgZpb8uVMcOr5wG1n2awEHrtm0rnwDdJR+OkstYyEHPmT4 -Wa6oIfhdY6jZLeHAk3MFvEtV5KKhMVRnqHBg+NLxu58r6DgUL7X08TIOzPO6 -8tm0nI7KPn+WuKhzwGyoKTq1lE7+J/sVKSs4MPJ7wc0/xXQ87/B2brUWB+TO -r5Pc9YToR0TIOrySA5MPqG0lhXRM0C+TmafLAeUEdxq7gOC9+bH4C30ObLvI -enDsER13Rzz+e8qQA3bdo1mv8+j4TKtyZOlaDrDY7yV0cum4I/n1lxYTDpx8 -nPX82gM6XmBMtJ9fz4GNjku+D+fQMbBLq2HVBg4oPVc/aZdNxwGrYM7HTRwI -envDrSiT9Hu3szBuMwe8/AzzWffoqL5iZ4bpNg7kx/9wOnGXjl76g3E/bDhw -Z1+Mz7s7dByXSj6bZs8B+uz+92vSSP+Dh/y27eDA+va2opQUwq+ys9OUIwfe -aa/pF0km/vl3dFPuHg5UXew6455Ex0pO7so9ewl+R9JOPrtJx5hCqsJ/bhww -j3Vo1Eik48icFMny/RzIutd86VoCHVcZ7vxx8ADh4/xkxu/rhG8Xk3eyXoQv -hdsKTnF0jH+xGwSHOHDiWOwE5yodbbk5mcd9OXAv5dGqZbF01L+scXnJUQ7s -rn/TcCWGjte9+vxeH+OA3tamF6OX6bg/vcv+7AkOnDt1Sdk5io4qJ+h6WoEc -mCuofc+/SEcZ9XPy74M4sKvm2ITGBTp+mKn7JyaUQ74XdvsnnKfjxDqNDqOz -HPBx2Gk1fY6OdkqeVYPnODB20vzswXBSb3jwdlIk4Wf7pOyrMDp+6Ss/bXmJ -A+1fbKUNz9Bx5eYmx/HLHDAxUdqbGULHj47GutlXONB43opKIx86InZjjB3X -OFA4mqIQdJqOpifEvovFc0Dk49jl3lN0/C528EXRDQ6UlmjvtDtJ+DFalLnv -FgcyvyuF1QTQscNp9Rl6Mgd2LH4ooX6cjnV3Mx0xlQMyEykDif6Evy3Htf3S -OfBw5Vt18aN0jErMkFK4x4GMbK0X/n505ODq7pdZHPi+LkLwwYeO7WLLy4Lu -k/n+PlxgfZj4687lK2q5HIj6dfZ1tTcdXevt3VvzOeT/9cNHDS+SD7UXDC4W -EL63p9smH6QjvlKl6D3hwAKHtHmzD5Dz5xv1fC4hfix/YhrsTvKgF4vjyzng -IF7FG9pHR2+viovrqzhg+jI23dmN7O9S2zNSwwHdsv/a613o+O0Ma3k6h/Rz -QfKIyV7Cz/nAaWs+BxZR3VwLnYjfVJ0apoUcUNAdeai0h46t6TVpec85wJ5M -sEvcRfhYmuHn9JLwcXipw3+OJM9HpNdJN3Dg45Ozj0N20NHZ4I9MxSsOaMqE -HRx2IHjpHOvwbCJ6FUyd8rCnYznrxAO5txyYb9ryqdWWjjVsiVPCVuLPiU8P -ttkQfx5Stgjo4EBHoHgtbxsdn1i10JXec8DXnWlhsJXcV31zu153c+CPz8Cc -R5vJ/XF69P7ZTxx473Jgg7IVHSd1PAO0vnDgutz+utub6MjcGGDyvp8DtyOr -8hgbyf3QryB9ZYgDwYXbvlyyoGPqtoPNRt858PjJaOAMczr+ybZJGxwmeVwR -4xFoRvhZ1umZ9IsDBuI/7w+b0PHNDKqO5RgHSvpnbPReR0fZA32TYxMcyGm8 -YfTRmI7HIw/xsv5ywFv3SpSTER17rydd3v6PAz8e8LVa1pB8hpP2YjO5UPNK -VtPGgOSVvvi8IjEuNLu5nX+hR8dYTYseN0kuFCqfXWmhS0f7JoP7tP+4sPyP -nQGuomPX9s9+MJsLQW+KbhiupKPcR0tdXyoXFhWFbS7VpuPFB15/5zO48Kbg -xs6VWnR0advArWVxIWzydcWjFXQ8defjhdNyXNCqZQRoLKfjdjWzrapzuSAZ -sDLyvjodF2S6M97N54KqE+ObihrRl/HWt5GKXCgei869t4zwu3D69urFXCh9 -FcZZvJSOboGBrp+UuCB3oVYjXZmO0cc5SteXciHuqdU3RSU6bjR+12eqxoXM -7R3iaYvpmDcNuT80uBApsfeYwiI6Bn88fSRNkwuy3DzdVEU6qslKr9qmw4WG -8PvWCgp0fI7+Y39XEby2a9akzid4yzypeKjHhaO7F4QrziP3r9KrkN1ruPCV -a3v7jjzxl9ZLEyljLqS8eSC1eA4dkxyzRcvWcWHrR4m6DFk6nhC6Cw+YcYG+ -x/yzMpuOpekSl9jkB3JDialdDpOODEbsZv5GLgSHdzLVGXT8t1aEcsyKC4dc -fqvm00j+Wjs1LtrKhYFp73htKh2PeWfGNVpzoUNprn2xDKlf0ulwxo4LS7N7 -PAxmE305Ssqt2M6Fxz4ZL6v/I3o/qdTasZMLa/wNL5hJkfzS17t9eTcXfPBS -wlNJgj/H1HmNMxe4AT5jWyRIfq3eoNjvwoUTHEHuazE6Vpdv6E7cR/r7dLTY -UZSOd/0tMjZ4cOGUti39/Qyyfs7cY/QgF3Jmr0cPEZL3tA1L73lzoW9QhTs0 -TcPVRlv67Xy4ELujQ/b4FA1DVXc9nHGEC6c/m9X8+UPD/klfn8f+XPhptqbs -3CQNH7+O1XQJ4EKG2l2x2RM0vPq6eljmFBdivHZnxI/RcNn8P0VVp7kg2mUW -v+A3De83Wp44FMKFhJOGb7N+0XCElqs/N4ys6ykd1vpJw+tTS/48C+eCwYpO -u4phGr4tKao+eZ4LxmEbLpv/oGG6k3OYykUuqLuZsBu+0TCZsmR9cxQX5GUf -/tj1lYazhiQkImK4oDB6YMHnQRr2MaWf61zlwloPh9tHBmj49Z52dHccF5y7 -7L3/9tHQszrY+moCF1b2W0Rd/EJDn6BvjHU3uWCpKP2H1UvDh38vtnxN4kK3 -WkRV+idSb++2pOQULgwLr9Wv+EjD3TUmezff4cJ8YGlXdZN1/X2LJ+9yIe37 -14+WH2g43P+kNyeT6MdiuvdtFw0vflvzcGcOF7yqVdYc6KThqn2//SQecqHF -Y1Pnr3YannPtX1Wcx4V6J/PGc200rBKTndz/mAu/Gv8wmK00rPcKBUYRFyxm -2GTefUtDuwdK5znFXJAxXnxBp4X0++G/zUfKiN4+2pdxm2jYqrKSrljJhUAP -ob79GxrG3Eh7W1fNhXeme2Z9ekVDA0u71GAk+6V+qQQ00nBs51YPdR6Zf49/ -vEQDDWPb4zTaBERvfaU2N+toeHlI6dfFZ8TvR7P2qL2koWKGeJVeLRcchIrF -VS9oqCGnF9Fbx4Vqobiz9XMabnGt3JLQSPy3b419z1MaNifEs83fkHxISksM -ENKwsp7fNdJM/BsipyYloGH5om056e+44Koe8V8Kj/SXqeNv007qvX6qr82l -oaXfcaN/nVw4W8h/IkAaChPYkvkfuKAi7xy6G2iouWLOa6ePXEh3P5bwvZqG -1VtDU6R7iT9mDkxEVNHQScrKq6KPC7l+GQ/nVtLwQUDIaq9BLvD1wx88Lqfh -VNbcmXO+ceH+hOfvDWU09ChY0iD8QZ6d18R2ltDwZk5ScsBPLngrth4/XkxD -6p2z3kq/iT5mLcuWfkLDXw/a9N+ME35+SqlkFNJwRUe2ZPgfLog/dRteU0DD -DRsGW7SmCZ5BDKk3j2h46U9W1nsRHpjM+Xf4UD4N/8p0nrgiygPXwv8WiOUR -fcXGbjSW4AHDb458ykMaSl7DOUOzeGAZLu2m+4CGKkr+A0nSPPi74umvhhwa -3tqVVWVJ4QHt6Yomr2yiP1OX2HEaD+weKv8TzaLh4a+p+7KZPDiyOTYg9R4N -mYcP6u6Q5UG/srWeQQYNb9RV/CcuzwPKs03mTek0dFl0+33RPB58qXNJ9rtD -w9sn/ivep8ADo56T66TTaKjQ8d9l+iIenK05vjw75f/6TXXDJTwQqK05sD6Z -hjTGU30/FR5UTz3sf59Ew2fTkTQFVR7kzM8vDb5F/LbqQ99LdR5YBSk1yt+k -oR82cYJWkHrzfuqU3iB6fHTgtpo2D/So0+8dEmg4QL0Z0LqSB07HVd+OXCf5 -MeRtc1GXB69O7ZpzLY6Ge+y71fUMeHDU0T9D8xoNV1pPSfYa8sDZ2fFUfSwN -LYbwU/xaHoh/+H7D5woNZXVXcNeb8mDGxgX/ZsfQsE1v452R9TxYISl4nHuZ -4PFX5kz6Bh6EZdQ+3BJFw6ErEXttLHnAzGP/GLpIQ+OJ3LX/NvNAjnchJOYC -DbkWlxTzt/GAHyfhsCKShmah82Y42/Jg19sTxxoiCJ65Hh+lHXggsbu6/cg5 -Gh5q9RJW7ODB2HBNNCOchr4UtQdeu8i8Ea6RT8JoqOOQc2WOEw/yRS8823GG -hnpFvcee7uXB/KNy9hMhNKxY+WXXCTfCV/tv5eRgGuZ3PjRRdudBg/N/puuC -SF6U6S5rOsADjyV693oCaXjm5SXaOS8eXNi/zzryFA1/KGZPaB/mQeL+o2Zq -J2koU3H14wdfHlw9YRlSH0DyMX1TfexR0u9Uwz//40Q/HY3la4/zQN5j4Lnc -MeL3o+pZX0/w4JBaaHvVURoGeey+nhzIgwUtR1btO0LwqnE5uzmYBzid3STp -R8NX4cZHJkOJHjdJVeX50FC/ZNTl/lkeaLifHrA/TMMu5ygbxwgezKR3u0x6 -k/wInTKVvMCD9rlL5qd7Ef3Ms11VcokHIntUFDd50nDbmgtLPaJ5MFHa6Pn9 -AA0TOtPnsWJ5EKE8a+KGBw3ZUhk03jUeXLlX2LDWnYYMjJbwj+fBsvUlQ737 -aHhS3G1qYSIPgudPWMe60XC0fdFowy0evHB0m9BzpeG0xauvock82Lu8ue/D -XhryLI5+WZ7Gg/CONQpRzmT+TtGejnQenCk+dWulE9GnzOXOy/d4cJkVsLtz -Nw3dWme1rcnmQd0+WbcLu2hYanLmbf99HpjLrs/TdiT3m/mP5pu5PKgv6F7b -sYOG3r3OzRsf8UBW8I59YTvhT/lF8+8CwscQRUfHgYbqonpvM58Q/77yvt5p -R8OdoVmtDqU8yFJ9Y3DJlobSiXM7RSt48LR0hfJqGxombknoLqwietnsvr17 -Gw2VU+d8cQPiV9j9ImYruQ+isr7SuMQvU+Pn1myh4Qma6SjwiR4nlMO/WNHQ -dMXAlO9THqSVPOPHWxL8ejIkFV7w4KTps81mm2j4VPUIo+4l4atYWu7HBhqK -iNoqBDfwQF//tEqqBQ0XH9qkrv6a9Ds9GbjFnIa2Lo4GbU08cN8YQP9jRvTe -Eb7p0lseLHZpHLpvSsP575876rcRPaf+lN5lQvy0X9P7SwcPaj2FvrPW0TDq -QHHwjfc8MNPSYpcZ03D7R+erFj08iD06599BI3LfNatl/vrEg+niAxpzDGl4 -xEChMuMLD6Suz0x5ZkBDe6k1r+0GyP4Hb2wC9WnobxI2MOMrD/bc52xU0yPz -t46IFnzngYzVk7Ptq2lYV39dwXWE6MXu+nT0KhoWz/VYQx0leF3fULN2JQ0X -lXrurBkj/hwsxh/aRN8pdwJ8JnkQb/5cPEOL3O/PKAnzp0geXveM2a5Jwyua -xcW1/0g+tAXtnLWChu9fJrw9PZMPP1QG91dqkLy+WTipKs6H4Guphb7qJD+i -ZRRbJfngvS50/WI1Gs5LyzG/+B8fQt38ZVuWEX6fnz+kJ8MHw1X71aOW0jBQ -NPt6L5UPbf/0w9eqEHzMKdUJDD6YzumY+1OJfH+cq/5izubDzM5Vo9lLyP1U -VsL8JccHy3J1uvNiMk/rH5OMuXz4sOS+L2MRuW86r/jZLeDDwrQEmWeKNLSq -OJo2YyEfhspav4YokPvjYFbj48V8uP/fXuqqBcSvrStEXZX5YGAg7T8wj4a5 -EjJ61GV8+PXrOTt9Lg0LP5kdrlHjQ9JE+OROeRrGe76+67OcDzsoigupc0i/ -F6rb5mvx4ZH4hUihLPn+WS3BeqnDh8jqjOWhbJLvnvnbglbzQUpxL1uXRfKM -WRalps+HQoU0428Mkifqys9a1/BhTZV1Vhadhu4ZYxKXjPmQPHOXtQuN5KOf -9kZ9EzL/rHv6c6g0DDjXdPGLGR94X+X3vZKh4ZdXPbU3LPjg8iGjNmo2Db9v -3UvbsIkPR+TUA8yliX4HNu0YteJDfvPNvdNSNDx7617Kva186PFsuVA2i+hl -67Feexs+dKnW/fCXJN8vEyVaovZ8CAg+cGu5BLlPYo4GF27nw6mGy2f7xGgY -9vfeczdHPjxOVrmfIUpDaz37OfQ9fGj2XEhzmUlDVc1QT3TmQwRvX8ncGcRf -zUsr/Fz5EHIlXy/vHxUj5O1kFPfzoUKnIUx5iooaX6fd6j34oNQ0uTF1korG -JlplIZ6Enz6xGLlxKpbP7KMuP8SHN3/Q+tooFY8pLfPq8OFDVv7Mq9I/qSia -MMK7fIQPCaUpWyN/UPHlesuFhseIHns8Ls74RsUhxRWhAwF8iKFpmoQMUnHH -nIzOW6f4sEG/7vhEHxV58x6stQwi+HmwVE70UvHxHIv08RA+QNk7+58fqbhn -KkA8J4zg4flt6kg3FbtL1x7aeY4PGaCq9L2LijK66a8lIsm6govQp4OKFz3S -DEsu8oE+ue/TUCsVK1caZnlc5sOlDqnQw2+p2BhzgsG+woe37suuDzWR+q72 -YfyrfHix4foSn9dUdL715vux68RfVoqa3xqoqKA04brkBtHDtvRivzoqHvwq -ePP6Jh/q138rGX5BxZ3dhpvCb/NBRbtd5/gzKtYOOtVop/KhVdtYdUxAxbPj -arrdd/hwL6D/1mkewWMk+9HVDDKfSXHENFJxu7BZzSSLvD8Y0B9eQ8XnziXZ -33P4MPFR5JlkFal/b7NK2kM+nH+gvjCmnIrT5xKztuUTvpprhxmlVHz25fay -6cd8EMiUGt16QsWn5btz84r4EMbgiSwsJPU+Nms7l/AhrlhgnP2IijNsqOWz -y4l/OuN/rsijYt6XWWZVlXzQjpBYXPqAiubx/JeHaoheyn48W5dDxdG15rvm -cYj/klX7nmVSsaTx0pcXPD7wD1w4Y5dBRSudxJOnhXxgun240nGH6GeLr5Ta -cz749v8nezCV1Jegp7TWEj0e7WSN3Kaij9VZnUv1fCgKXXE55BbhZxqf67/i -A+VB0ympRCrGSb/e1/eGD0Z3sjoT4qno6VgyldhC+lkUVL44joqpL/2SNraS -fmaozn4cS0VLaxGDsXaiz6UXmo1jqOj41Ks1q4sPHVcOs19GUTFsXn7Qjm4+ -PDd/XLv7IhUNdBoUJT7xYcYh1fH+81R8N1wvKO7lwybdR0mB56gYaPLIx6Of -6PXbnCKpswRvUX859hAfxL8bmyaFUnHOYnke/xsfJLJGzdWDqWgdlnXk+DAf -/sXL1VQFUvGD6PyFSr8IXzZBudtOUnHyWtCrN7/5IB82Tu0+TsWj1KcR5yaI -/rsO9B3zp+KUq8ialX/5EKWfulryCOH7kOpwzzQfjP1OjCX5UFGJYf4gboYA -4gKeLtc8REX1NXYeZmICuGrr9Y7nSUX5p9sXj0gIYHzeqjHHA1S8m2zTnS4l -AHMRkahv+6lokmp+13a2AFKMMq9GuFFx96OVHjOoAni+6O9/81yoKFKkqFZA -F8ASZud4gRMVl0b/N+zKEkBC5MLdlrsJfgt+l9PkBBAslraieycVb1h+ikB5 -ARQt1T4RuJ2KgpEW2yPzyXrKIy2GPRVX/WlYuFBRAEeVfzo/tKFik/mr4YZF -Arh0rWnKfBvxT0EH/4ySAIYFGrT3m6l4evGvW5pLBaBa3hQfaEnFk4HyR9+r -CqDhWOZl1kbi58RtVrEaAiignfr1yJyKOc4Jyus0BVBepdyw2YyKd3K/z/yu -LYBPJRfm9a2j4jwPl57UVQJQsTnZGmFMxSMHe3nb9ARwYbBu1mJDKvZfj8ye -NhDA0JT7fdCnYtQL05h8IwEso8hWOutSUWVQPmDvOgF8fVJh/Hcl2d9Mc6GY -CaA4WUP7tjbJH89lm2vMBcA/a5GwRpOKjyL2GfhuFMB8nfdebRpUlJrFUVWw -EsChmDf5p9Wo2PDKYn79FgH8d/7v/nnLqFiEI7RQawF8n7fqUpUyFS2Knkuu -sCP8HHBQ2LuEis0XXop0OQhA4bLeEpFFVIydP/UnZqcA/mJp4l0FKh63dp4w -3i0AbdtHQRbzCb/T38a/OhH+bozX98lTMVniyWSKiwCu/fG5Fi1Hxa8W+dNb -9wkgdrqfq8Wm4oFb78Wm3QVwevnG/c0MMm+XpUz+QTLvUlf/0zQq/v3xTW6v -N8E3lfpDkULOy29UovgIoN1eq0MgTe6Pnz9W1vgJwHduiu5hKTJvsq2Fr78A -7rVo/WNIEj9E/HJUCBBAZYhwdYUY8efFdt/6k4RvtkGb20wqVpybdSH0tADC -S/YPSYlQUd8uJH1FCOn3wqLDhVMUXN5gWNN1RgBq3K279vyhYFezReeVcAHo -POYViU1QcKNpyvTa8wJwyd0blP+bgg5D6xd/v0DeXzz5yPEXBYsKDDelRQmg -PuaoregIBXsPRR6xjiF4Bd9xyf9OQfNR5dv/Ygn/Ufvadn2l4K+l8589ihPA -cs/rHPFBCg53eo+5JAig5jWFXdhHQclhpirtpgB+3nrctLeXgq/XyDtjkgDu -pDiIzP5Ewbr44OtHUgTArG9JLO+m4Mp3614uvCMAaQ3m7YPvyTxd7pKv7gog -69lnKdlOCl4989X8bKYA3ARqn/htFFROaI/QziHvO9SoHn9HwdAxrafdDwSA -JcFtS1ooKH7mu3RcngAa15n9fvOGggOi8vZmjwUgtB0MjnhFwdV7HyWPFApg -j4uD7+oGCr70eNJ3t5job3DXi96XFNw/oqpnXyaAnovvrt58QcHT7fSLopXE -/225HKtnFDw+7tNeVC0ApfgipykBBY8sNNF2R6K3k8/dHvMoeEYt6hKLR/Jk -V23jfg4F/b9u/cQXCODL3Bv35YCCP9fFmAY8E0D2I4mh2ioKue8s05VrBaA4 -dzIxrIKCPl/Pi7bUET0c3pq3uoyC73+ZeUY2CiD3eaf6YDEFGz+FN+i+EcDH -fReZ6UUUlLu+0eBLM6kfqOa+s4CCds1xmYnvBGDhmr6A8oiCM88eYG1qF8CD -Ey/WCXIpeOgQ//x4J3lefu5F8AMKVnjlT+R8IPoQv1+9KoeC3TYqR3Z9FIBr -jLz810wKPhld3i/VKwCee2FHZgbhU+Ope0WfANhrbGe5pJP1Fz97vAdJvdo3 -t+ekUTAjo3j/vG8CePJZLvF1MgWfXqZ8qf0hAMqBPxPRSRSU3yniE/yT4K/v -xN94k4IerdGjGr8F0LVzzu+ZNyho1Vsc1jlO/NkgE1tznYKbbEMoV/4IYLB0 -buzpaxQs+Popde20ABYbLvitG0vB1CvftL+LCKHl6k/ez2gKMiSTn6aJCsFQ -JHj8cRSZR/W7i42EEK68j7/ue5GCj573T4pICWFu/PwEjUgK/i2LuVkgLYQV -ccN/B86R/S869PdRhMB0Hnlx/ywFtRvetTPoQpiOnJr2PENB06RzZ3lMIdAL -hm8uC6Hgsqku1eOyQrC8nHez7zQFE54PNSnJCyGiiTqdc4qCs17lhzfPE4Lr -7rFnXieIPz+prIxUEILdhNmE2nEK2rbs6NVdJITg5FdXho4S/Z0wSf6yRAhc -4/BL+X4UHEv47HBTRQhFn1f2H/GhIF98E81SVQinHwryVh6ioNsNr/oJdSH0 -P5F9+9uTgkvnbIl9sEII+3QlPCoOUNB1z7DdHm0hvPI/tjPUnYLztfbIz14l -hJxK43yzfRTcfOByT5WuEBqOmHtJulKwtO5cvo8BWRc5ePGlMwVHVm8IUTAS -wviXCOm4PRQM9G3a1rBWCMMFISM7dxF/btBaEmYqBLlxLWOFnRT0jNkzqWUu -hHX7Qgc/OZD+6Y5N3RuEEJNlMfXQjoL/ZSwtiLMUgvulA/7HbCi4h/ry6vot -pN9OtDLcRvSvvPHYr21CcDy3KlJ0CwWvFSU5ZtoKwcg7XemlJQUpF5+Z7HAQ -wvLYL8oJGyk4eOS1uuROIeyZ6r2014KsG1XIl+0SArX+jM2y9RTULz37n5eT -EOKXxQWOmFBw+pHatLyLEMzMpsWq1xJ//Sz59cJNCG57741cMKIgy2bZtyB3 -IWjWu5vZryF6vxY2oHFQCG9+KP5S0KegRCSnv9NLCA4rSyQHV1MwamJo8Mph -ISTTZoWUriR+LBcbXucnBBf6b/sIbQqqX/tv4sdRISi8dI221aSg5jYRsbvH -hbDg8zIVxeUU3FH1hW5/Ugh7KZqLvqpRsDKbu1jstBCuSzqEVC6j4LaOON3i -YCHMSz21JkqFgg3Ku7ceOCOEydwQx11KJN+s5x6UCyf8zjd/u2wxBakqzeee -RQjh9cfcknFFCqYci84IvCAEvvit388WEP2ImgnVooTw/Xr/jVvzKHgpfWyw -PVoI7Lwzid7yFGyRe8SKiRWCf4jRuKEc0aO2t8naOCGUrJ1RLsOmYH2Zmt/3 -eMK/3qPW9wwKXj41cudOohBuVi/dXUgj+l7Da7ZNIvu1t6w5T6Hg5PNUGdEU -IdydOR3oOJuCbd8jNz1JE0JUnoK8xn8UdD8REulxVwiNlbFyIrMouGFpxFPZ -TCE48XUCmsRJXrxMln6WLYT1h/q174uSfFjx3C7wgRB4bglbQ2eQ+0BOOkUt -j/jvwJxn9v9k8Lm1+0D7IyHsNHdIV52SQaP0ljUxhUI416TW+m9SBi2b9l9Z -WyyE0L8hfi3jMlheIPP5eymZJ1/TPe+3DNJmtqxNrxBCwuCi0ohfMvg0pua2 -XbUQpEHX02lEBlkLnv8RRSGMmtmcXPVDBlVPje0t5gqhOcXm0+xvMih5cLPg -gEAIc0TnPvo8KIOhBcIVc54JQbzoytuafhncpnjo9vMXQiicvOp884sMSpxa -Ix1UJwSZVaKm/p9lkH1ON1SjkfAleHp2y0cZrJF0+9X5WggWSziKS7tl0LCu -0ie2WQiVL1/NnfleBk8nbRoweScEMesO/84OGfTVlfIeaRNC+nre0vI2GRQc -/DeU0Unet/EySHgng3NGNY5t/0D6Uy3IPtoig133rv+V+CgE2egQ/21NMuht -vPpS2Wey36LglvprGRyIYMp79wlBZYXmAqlGGXQ31cqdNyiEVLW2v711Moj6 -MWZ1X4VwTCNBX1Arg7VaGh2hP4RwQXt9Y8ZzGWR+pwRq/RTCMvOnvPCnMqhh -oCffMyqEWUFizH0CGXRpyqq6Pi4E44nOalOeDH4777Lf4o8QVL/p8hdxZLCP -sV9mbEoI0f+juLrjsXy7eBHPJoqUnSilIUqkzEqD4lcipCKJSgihEmkoEiWK -sqNESakU52Q9e5U0ENppGNlS7/X+eX+e+7muc77rnDutT18GWGhvXVFVPIEN -AWb9798/ZeGL586B22TZoDBHe6yuivCdbK3NlGfDCNv1QOEjFipYxDZXU9nQ -deKY5elKFt5JV0kJYrBB1BS5e+99Fu7Z989JV4ENlVZG39bfY6HbEevJLyaz -oXVLJHvBXRaeOve2KX4KG5Lu209QLmNho5c4a6kqG5bIhVwcKGFhR6WO/1c1 -NjiMfzz+5iYLA7dJll5VZ4PN9lhOdRELOxkd1A1abMgemBuQV8jC9PPO78Z1 -2NCS1bD7dD4L6woNHt7RY8MO8yVP9uWyMHTqzos7DdiQ+NQrwCWbhbnXZEKn -GLIhU08vdNk1wt8klmvDPDbcjdj7UiuThWfpcZYRC9jAF05NkbvCwrhQHwND -YzY8XE278eMyC/dOrJjSYsIGZcV5U5susTApPGRS0lI2rPDe3vIklYXT0vKH -V5qzwSv69Fj+BRYytB16epazYVPF2UOJ51m4qXnn97yVbLixa8PqsEQW3j3S -922zDRuu99w9uP0sC4Uvxr7L27NhhiTr95ozLJx1Lab30WrSb0y/yPgUeb4a -Mxqwlg3/JWTJaMSzUC5xXF5zAxs+xEWel49j4TeTMVWxExsusg6G9MawUOIS -NTfWmQ1Gzb5lrUdZmH/ziI3JZjb0X7K05UQT/43Ien5yJf2xWuffj2SheKJy -VLo7qU9xTnBOBAsd4osz13qyIShMjpkURvRtzcWx7WzQ0Xf/GxlKzh8K+1a6 -kw2Gk6kOe4JZaLX3rsoOX9K/ydDXzUEs1N8StUp5D+H/MqPTdj8Ld0S/PFy/ -lw3aTnMXGQeysDSz7k74PjZ0RCxr1t7Lwpthq7vmBLFBd6X6C4U9LJRyvOe0 -BLNBr/mhwV9fop/NSgFJh9jgdvy35OcuFo698rxjFcGG/WcqpG07yPnK9sO9 -kWwwWdU2R7SdhQW1HPuCI2zIVXNtrvEk9xX9uOQaw4YXQbJv72xjofnx8q/U -ODYM1vJMct1Y+Jk+3fpJPBtc01I+pLqSfuT1M/efJvyGrfgWv5mFGYtejWif -ZQPjT4V9hAvxh4Ox5/NENkwXvR3Yu4mFdowltfHJbICr6X88nUjemH2cZ5bK -ho0aErdNG4i+zllf+XaJDTJqAXT7dSwMrl9Pz0pnw4Tt65WWObBQO4cS43SV -9Md132+0muinNWxowjU2/LaK1tK1Z2HFkozQimzC7720Waq2LPwv4ODv3Xmk -H43kGIY1C2eYTYhQK2SD0knHhRNXkvxzX/uXV8SGI38qTYaWs3BlkmPC0Vts -+He9PPGnOfHnBQW1RaVssL+oZ/HRjIXq2udvvb9D+Kf/Xt6yhDwPCq3T7rHB -zEY+9bkJySOp+O2aB2y4c9TOkmfMwtMH0g6PPiT6UEqxqF3IwpgzOjNKq9gQ -5vYysWo+C1+3hIB3NRvcHw8urpjHwsRZ5/2VkQ2rCluMbhuyMEzrkEpDLRsG -0gOiCmez0P2kQWNEAxvKpp1Vz9Ynfp9aFDWXw4ZlD3QmX9Fj4bkzQ4vbeGxo -Yqi4XdRlYXXm9O5kIRusnzn+TtIm84qmeMdWwobSk+WdZzRJniW9CRl4TvQ9 -ZbZevDoL+99HWRS/ZMOuRWkPY6aTPK3vl/N4zYapJe+vR08j+fbD4SWrhQ2p -XoOvI1RYeEUlshjbiF/mPdx9aAoLHcdOxYR2sCFvEnNVsBLR19ZD2ww+sGFb -R0v4AUUWyn6yNX/ziQ0qtayxQBYLb3n1qyd+ZYPawzPSvQwWPo0+K2P1neRV -s8noHhrRy4j8z96fbFC0GzzkR2Hh/AuBLQU9bMiY/dBmtxwLbUcfC7f+ZkNC -ldcOX1mit97fdfRBkj+WUonPRHL+AvWa6mGSb4PDqT7/mEjdZ/z04Bgbdq98 -esNnnIl3dy2r0fvLhnkhMkzfMSZ28o3rmydwIHz0Xq3vCBPZO7RFCbIc+Lr2 -AW/3EBO3vZVptZTnwKK2Hr09A0xM6G372U3lQL+Fo8j/NxMNvO/J5jPI+7/L -uQG9THzfEqvpqsCB/Dx51f3dTHTUcVpOU+JA1ffFFUE/mfj9o5rX0ykcuHlU -KzfkOxOZ7z/EBaly4OXk8vawb0wcFN+9PXM6B07seX4g8gsTX/nFvn2pzoFX -jgFORz8x8db2rcwELQ6Iruw4FvuBif5BpraWuhwwnnft78lOJrZtmnGkW48D -179TxGfbmYhV9Ko8Aw5Eis50J7cx8b4v5c8WQw68l1B2pLWQ+uWVbWlGHKgZ -2aeT+YaJ512NEp8u4MBd95xFua+YOJPl9jbImAMyjLMXil4ycUbnZSM9Uw5U -GCtbl71gYmxCV1zzUg4Ej+lYPZAy8b/qzW0J5hw4mX096amY1GfyavkKSw68 -2x46r17IxGN5odd7VnJALv60moDPxJXP5skV2HBgik/d5iYuE/VXTzy41Z4D -T9wVO1rZTLz3ZeAdfQ0HTMT/VX1qYKKRJ8OlZi0HrEwjP/yqI/i423GDN3BA -R9bfY/gZE+suZ9vrb+TAZaDOlEEmTuDq1r925kDToJ0Zs4aJe2/w1yRu5sA5 -K5lM1adMbPl4XWy1leBpbuSoW8XEMfNrHr/dOaCdfMvR6BF534Pz/YYnB3b3 -7c4yq2Rizl/d49u8Cd/aa8zt7jOR9aZETWEXB+zals7aeI+JP7L3PHjmy4Gg -EU0vj7tMDKFudQ3bw4HyDZ8+7Ckj/bCjx+YEcCDzUdijQ7eZeDP1VUHrPg4w -5jx6G3uLiSZa+1wuBP3//rR1ycVM1NFePsk+hAPzvg9Srt1gotK61VVDhzjA -sW1QLilgYvZ/yYdKIjjwqPBbwOM8Jtr0TDPxjuLAqJHjZE4O4aOpc0D5KAdu -j76WeXWdiVr3fz1tjOGAqkW47ecsJvLsrM9ExRG9aiuIB64ycbfZ660LTnLg -zdeEYrkrTPxl+2je+9Mc2Nr6XKSSzkTbGe9lL5/lgHDtcxuDNHJe8NaOtUkc -GEsInmh2kYlLxqY/G0/mQOnfKyyHFCaq7Zt3ozyVA/eUl/i5JzNxRURS8u40 -Drw1N2IEJjGRJrE5Oj2DA709/n+OnGNiheG6IOFV4pfqJvPkBCZGmBXvjr3G -gZ8L3OtyTzNxx22vHUtyOLCwtT3j/kkm7l++z/tbHgcU/Vyq2CeYGJf+cte1 -Qg5MCL86uyWWidtDMwOcizngWpPb8SuGiQ9jIVyuhAO2o86fZI4xUS/M7vTj -UsL/z0tLph0hep9gmLX/Lgee794snRfFxMkvgx/oVhA8zaIeWR9m4pob2i9e -PiD12fZ0bQlnYo++6UDCIw6s35/jH3iIiQvly9VXPuFAQdEh49gQor+R9NV9 -1RyI7XJdlX6QiU53u8JuIAeczIwLSg8wsbvt1s1tdSRfMn461u9jYrrJ206F -Rg4MaofbtgSQvNgVpVXH4YBG1/3YPn+iJ80k7wg+BwQzLjHoe5h4derUwnki -DrDfjbfr7mZi48jk7nYJ8WNg619zHyYuOnZyxaUXHKj/O93fZScTh1xCLzg0 -c2Bze456oDcTrQxbv/x5TfDw9Jge70XqKX9mV97CgRVCk53XPEh/1/QLdr/j -QFTq1N+V7oSv6zTajE7i/6lfRZKtRO+7gkJEH4heGzL6u7Yw0fSaW0fcZ5Kn -mkq+cpuZ6D3e6GL2jQPt2cs1dVyY+NrkKff7dw6MNMvoLN/ExP4e81U5vzjA -2+K8z9WJiR8+2jRs7iX9PVSSCdnAxDfwci2tnwPNOQs6k9aRZ+Oh59WDHJhd -nUq75UDO6yraETLCAZdnc6IbV5N8v/qtz+APBzYGtCz5YM9E497qhJa/HNh+ -NM18gh3h47qB/oWJXNDg2JzStGFi9Sb9BvtJXPDT4asvtyL5/ejJ3hF5LgT6 -aoy6rWBix8nvymU0LmRE6ehGLGfiX79K3MXkwnXn2gtp5kyMZ2iFTlPkgk/H -D4f7Zky8MHPWXIESFxQMzq19sYTg4cH7dHwqF3oMz6T2mRB/+SrfWDKNC8lj -Ij3lxaSen+MBXdO5cOXeunHjRUxsyj9vmq3Bhc8HPmu5LGBiilmjzGZtLgS5 -JZ0JMWLiS9cbL6kzubAhe67FxblMnH13UWn1LC6UR980uT+H8NvrlxAymwsf -5w8cemnAxOu8dQGz53LB/u/w+OAsJrp/bdvYasSFlStyRGp6xE8juhYpC7lg -Y9f82UKXiU9L1AxXL+aC9OCp1V7aTAwvrdMYM+WC74KsnzGaTIy+PUvlrhkX -on/ItOapk35dVyjvtiD96N1QapzOxBh3xakzVnCBtjn4/LdpRE+7smaIrbjg -KL/JhaXKxCCdz/rxtlwo5c33Mp5KzrP6tcR8FRc8zQfLtigzMWx/5bpfa7hw -tO/SmqjJJC+3Wvvmr+OC6vUBg2wFJgaXJMW5OXJB7oesYz2TiVyVnELWJnLf -pZLH3+gkz+0ihbUuXLi/5fU+RRoTz76fMRqxheA3HOa3hMJE4fVT8+a7cWH/ -+oM3POSYGKBfs/P9Ni480K8wipNlorpeXVa6FxeofnNHiicy8bh9euuGHVwY -7HvGkPxj4KKllroyPlwQVe32HRpn4JWCioCHu7lwsWKirPYfBhpY/nu0z58L -lJbYL6tHGah1U4c5M5ALWUufKwUNM7A+fbrvq/0EvxfvYtMHGbjk/ndMPMiF -kMaLZtjPwJhbGTNtQ7kwOq9t8bc+BuYZzEwYCuOC8ZyiUOVeBkY2JfTfPsyF -1s9tI8u7GdjpLfXdFc0F58z9Dbt/MvDsodE3045xIem4bXPydwZq18hvFh7n -gtobB6Oqbwxc8HXoedwJLqh072N//MLAZdfFrstOkfOnZhYpfmZg4bnk9p9n -uJCdCwKLjwys8zDfn3+OC3rDjUv93jPw5WPRP7fzXPgTc+1TSgcDqc7O6Qop -XOguXvim+h0D9wtqTeovcmFZ116lrlYGyr2a9TLyMhcSapedV21hIKpHRi+8 -wgWlR2c22r1hYOiqZwafMrng77Z6y8FXDPz692/z1evEb8u2Z197yUBRn0ni -plwuKA88nc9/wcAq/s7V8gVcuGW8ccKIlIHmpmflnt4g9V6ZOG22hIE1zWXc -4JtciG/H4C0iBt70kqbOvs2FjdWRk+MFDFwX+ntHWxkX1ver/b7HI+c/UzW9 -WM6FKY7npr/nMHDHb0vm2vtcSE+vPqHEZqDCvT3f/lZyQbEky9imgfRflMG/ -/5gL8n4qesF1DMw6Jr0X8JQLlmVT3XKfETw7pmTrABdqD56WSIGBe8J3Xmh+ -xoWO3G2JMjUMfNf15FRiPeFjRfQ5k6dET19mxdmyuTB3VbPQt4r0P/V63DCX -CxPr3f67/IhB8t7wTJmAC0943eqcSgaa3mKn+oq5cCP4zOzR+wwM843Om/Gc -C+avFcONKgj+A6seSpq4wNAPpXiXM9Be3lB66hUX3p7Mbkm5w0CKtUGP5Vsu -nFgY11dfykBYbzX1dysXxryoG4ZLGOj0PGzFzXaip83aX+fdYmDyEX6g93su -FHveb/QuZuCG3zbZKp+4YMq5/+XiDQYatb99xf/ChaXdrPWcAga2fU1Xievi -wvCi0p4/eQxsfRTltuwnF4S/Y14b5zKwYig+51c38WthqMyebAY+cnz0s6CP -CzKPww5kXWPgeh9Va48BLtBLQjWeZzLwVkdOutIwF/aMb2NSrzJw4gH3fvYo -FzzMp69cmcHAfRU2rsfGCZ7dmeWHLjNw2M2j2nQCD6ofSPxKLjEwQ77Y8LsM -D9zmFXq9T2Wgia9hZq4cD9r65S9PT2Hg5emdSm5UHsyq+aDonMzAkyJJkgKD -B1/NDflnkhhYNHdUoYHFg3rdBjaeY+D1l9vToifzYM7SQrmRBAb+Dp+gu3gK -D7avfBhvfIbopbKj/KsKD05Tv9kHnGKgr8VEh2w1HlzeO2d1fjzRa4nPhy3q -PLBf4XOmNY6BzXdo8UwtHszwO81QjWWgX3e/YZ0ODwKEceKNMQycoDT7ZaQe -D6x97JoSjjLw3pPck4sMeBCh9XB6fTQDgy/7Lf8yhwdX/vCz/0YyUN8hYvDa -PB4MTzzoZ36Y5EfEy8rNC3iQaJ6y/1A4A3P5cUcYxjxgPdB8cOcQA993HV9T -a8KDT4myK76HMHAgWjotcikPZnYskpsdTPSlH/5zoTkPjjddZPkEMVCYdJDz -eTkPdl6e4Zq9n9zvUVt8bSUPxG4V71oCiT9N95/fbMOD/Vs2FKkFED1DSCTD -ngexghd3tvgz0CK/aW/taoLvpGXDqX4MbIy/5B25lgcqG/Ycl/gysIR+f9ui -DTxQHtzooOBD6ntr6vHFiQfhXh0bN+xk4K5MtZ3XnXng/0E+/aw3A2X6duzb -spkHGd3lmlwvBqbFKx5lbuWBVY/4A8WTgW+G9S/WuZPzt238tnobA4P6C8ui -PHmwtVhrwSk3Bv7VSBEbe/OgxtPoXoMr0Zfat4GvO3lw4p9fmNwWBsqeu6Ob -48uDDdrVEav+Y6Cr+meXrXt4sMJZ8/FJZ8LvgfMJCgE8+LIo3LxxI/G74a2G -hn08WLOjcljeiYGpvRaUo0E8EJ4WDK7ZwEClfbZOpiE8WOdaZJKwjuh1Re3V -74cIX8eX3OE5MNCG+fRHXgQPgut272WuYeDnaGP7bVE8KG032OW0ioHPjGfl -Kh3lgcz1PVcu2JF8e54my43hgZ5QVfGFDQO9Zc8EHo/jgaKtXp2KNQMT/f+8 -NjvJA53X0Q/cVjKw5Ub/+u7TPJgYrPg505KB0l0h9TfO8iCnX7C53YKBfdYR -ttuTiN6c8yfqmRP/fZrUqHKBB7ujY3/4mTFw24DGRmEqD97sd1UpWcLAzVOf -tcWn8eCmodKRbhOij899wZYZPFCtzNExXczA/sn3Gf1XSf06/TKRixjYu1S+ -pOQa8dvR0Zk1CxjY8Kdro08ODw58yjsuO5+BUfK+ozPyeVAW2aq+dh7x11DI -reeFPFi643L/eUMGqodN33G2mPirAegvZzOwXNdd3baE4Nm6Zru6AQNP5Jq0 -jpQSvto0u3fOInmZcSuv/C4P4ijG1cUzGRh4Ew7sreDB3+yDnG4d4qfDh6x1 -K3nQ38ufbKbNwDM3edPePOLBXafFl49pMnBne13/hSc8SGNddGtUZ+DV6p2v -HGoInoltWxVmkHn7pRAmPONB6/yJl1zVGBgwIbX0UR0P/Dx/MrNVGXioZHbu -wUbyfDql9stUovdz/lfncHlwYVbb/UVTyPyzd73SwedB5h34EKnEwNjDfdcy -RDxwuDVnY50iA7/wVhZvkvLANYsyxFRgYMI7y0fUJtLPlA0trkwGmrn+EmIz -wSP/01gOneDZtPnb4Tc8mPK5zu07lfD9J5hu3MqDF1HNvUsoJK+D1xh/e8eD -XRQW+7gcA92amr1yO3nke2Tra74syW+O7gX3jzxgPi3QnyZD9NhryFH6wgOq -46eyXRMY2NXdI8f7xoOzRdRDZX/paLbn8Nq4HzxoOP/30OgfOh4beZZq0c2D -l/zK8tVjdBx1EHf29fLgxnzduRdH6Ng5lLu0pJ/UlzD/XfsQHf8rXp7iM8SD -ukd8odEgHXf+udarPsqDlde+D0f201HzMm9r0x+Cr8ZRb3YfHUOn1dUl/uMB -T+/gRJVeOjrPTFiySoYPkwruv9vVTceLblql45P4sCnNYujuTzpO8IyfW0nh -w6qB3nX/vtPRXfS09ACdD+Zs3hvHLjqud+Yunc3ig8PUB/lZX+kYeaqkoV2R -Dx7fc4q/f6ZjuOLubRnKfGDtPPbV4hMd65KG+jep8KEqeYXP2Q90bMvzTaOp -8eFwukjtbScdDXpKl9fO4MOM67q0uR10HFB9+SVKkw86YgPTqHd0vPqo5YqJ -Dh9qPERXeK10dA2vc/4xkw9vo6gW6i10dOlNUizU54Pc3oap+97Q8S7P8oXX -HD5E+g8YVr+i4/l8aZbqPHL+szORCs10/KjhtE88nw/BGCS7o4mO915V2JxZ -xIfCx1fZ5c/J74cmadqY8OG43GiDrJSOjmk2f0eW8CFA5tjfLWI6Pnuz79O9 -ZXzwnTotuFhIR7kPp58HLueT+fxAc4xPx3rnSw2zVvLhhN66SU48Ot5svFjT -Zs2H9EkNs3I5BP/3p6sv2/Hhcq1qTH8jHZetCqnduJoPXm0Lpzg00LErebOQ -upYPW99O6MysoyNv16J3z9bzIdQ+6mv3Mzqu2k4ZiHLiw4LbiYb2SMfimS1K -ps58iCuaU5BRQ0ebTaWmP//jw1fpSrefT+loezrG64YrH3YIYJXtEzq27/kv -0dud3Lcia1/6YzouTp37TM2TD0JJveDHQ1LfDfk/0u18UF8218+2kpxn/83y -3E4+aM6tXpZxn+iT0XTC3pcPuj4H7H/do6P/NY5k3I8PnQULEuzL6eibwdF7 -uJcPZyp/yWfeIfxnvTxycB/B1ze7ureUjk7relsMg/iwONa41OE2HW9ba9p8 -COZD8oe0l9m36Jip7XE76xAfYvyrlw4V07Ho1G1N1wg+aPdlSJyK6LhfZUqa -YhQfevdMz79RSMe9gReUuUf48LJyYdnffDqqzTG4HBfDhzGJoNc1j/in66W2 -ZRwfuko799/JoaPef7l3BuL5cGqd90xqNul/wtlVd06T94uXKu68Rkf7lJRO -/7P/x8PNtCqTjgWFj0/MTOJDragyZcpVOoa1yhq1JvNh8L7N7P0ZdGxuCn6b -lsoHvNrV33iZjm/myyVvTOMDJytvVCeNjqdOwVpaBh8GWrcti75IR+nRPHrd -VT4Exk0qe5lC9HfvjvTINT6kPL7gsegCHcfrvl5fmsMH6v0e63Pn6Xh508aQ -njw+lBSrbP+cSMclQx/X3yrkQ8KLnns25+iY61oyz7eYDz/CQq2uJdDxAqtA -SauED+ubz8uOnKbjlSrJ+KtSPjham/7bfOr/ebG4J+UuH3iTtiwuj6ejT7Dg -6/oKPtRHvs9inaCj0aPrX+Qq+eA3KlwZEEvuCyr5AY/48O8zVY0dQ8dW0/6h -yCckPwrj58w6Rse4oiiaaQ0fFLIXH4w9QseI3da6v5APz+0ndb+LouNE1hqr -4jo+zGZ8L7CMpONmyws+uxoJfoGvU65GkPpTNM9rcEm9n6sfDIfRkVXSU9PM -54Pd38TJWw/R8ZYBY/CCiJy/wizvQQjBM++AyXopH/oWlQVMDSb58FQjQq6J -Dyv3f9gbGkT0rTztGTTzYctZTvbz/XQ0t/NWinrDh2z9jczF++h49vvgHtNW -PqR2+t9JCSD43myv//WOD0W7KQm9/nQ0UVefc7OTD9u2a1xx3kNH1Xe3Unw+ -8mHu0Svt5bvp+CX5wkStL3xIO3zQU9mX5LFIGPH6Gx+mMy8qhu6i49elvv2p -P/gwb7hv+MUOOlrs2RLh2M2H5TJxaku86cj5kzeB2seH8n7jA5e96Dg5zelC -bT8fPl7vHxnyIPkpdDc4OsSHmS+fPHHfRkdvu8Zas1E+5B+MrHjiRkf1S2m7 -+/7wIWOjdqfmVjqOeHIVSv/xYfKWbPvjW+houdynZo+MAGh7v7e9/4+OCgLf -QzPlBBB4eOD2KheSR7fFi9ooAvh36E558SY6Tosq/J1OF5D9k/GDsZGOR6Rf -nrqwBLBGZcwjyJGO7zdmJLImC+D3/YMTX6yn44rUR7s4ygKoMt/eunQdHc8t -WWd1QkUAT0sf/LjqQPzc7DRzpZoAerX3Lv63mo6JyhzGyAwBzCoIKPVZRcef -Jx+OVWgKYMjlthfHjvhbqNV3QEcAbWt17Obbkv5P/ftlqCcA1ZJHXqnWdKQ5 -evR91BfA7Wt7SodW0lGxxuRP9hwBRDpqL/ZaQeZH+FmmxzwB6HyXfq9dTsdP -Sjv1VBcIQO528Ns5FnR8Mf+xtXSRADbzesbPLyPn+13yTTQRwGi8jevAUpK/ -bv3n1ywVQKG26wePJSR/st+CjDnp571OYa0JHX+8dhiqXi6AAPVLmYaLST85 -1ksiVwogUT2v8cIikm+pdZGmNgKoMV9hMLyAjh3rX9R32wlgnXRrlfd8omf/ -YNWS1QJYZPsxjj2PjidOZB/wWysA/d6mmIVzSV5aeAt1Nwjg1BqN8vQ5dBTM -ube4zUkAvhW3VSfMpqOo68r1DGcBhBcdvuuvT8dADTWlzZsFoJEZckyqR8cS -9wVnFbcKYDc96bjFTOK/le9ofHeCb1hVZb4OHdHP8MIpTwHM8fmpw9Im9x1Q -0rT1FsAXDzUI1yT67E2/O76T1P9rfkqHOh2VztWse+wrgM4ynfR1M+iY/+rU -90N7BKBs+kFyX43M15C+1EUBArgzw3+l9jQyr4ZkbH7sE0CZbF57ggrRo0zV -QFGQADIunbjfP4WOIQunl/uECOBsxL+n3soET7WZodphAljoQR3hTaZj77bm -5S0RAqjvu+C/VJHsHylmjPQoAbAGzzHyWHRMdV3T6XJUAB66PzpZTOLHNZQa -hePkvCUF3yPpRE/jh3N5cQIYGLox5zOV7Duq18+dOimA+MVfMlwoJE/nHT5i -e0YAWRVbLUGOjpI31EN/zwpA1+m7stEkOs5/4hxSlSSA6DeXNK7I0NEhcHNE -+AVyvvEad/mJZL84qXxi8UUBFC8d4IT+o+HBgqS0X2kCKBGmBHaO07DCh112 -K0MAr9sVbTb+oeGK7c9Efpmknm271laP0pCy8OjAzOsCWGB8JH7eCA11gv/M -bM8hfnDf1HdliIaHwHprZr4AuoTSVOogDQfur0/dekMAY+d/747op2HCD62m -KTcFYJ1THPi5j4YqE59qSEoEQKF/zN/SS0OPpFn7EssEQH2TodDQTcOlRttq -HcoF4KVVVWL6i4bbD2/XlrtP8Oi2iC74QcM0psmJZ5UC8PFTODr1Ow0TT7z5 -efQx0Wfu7PL4bzRsj/jP2+KpAC7URk4b+EL6ic97NVgjgNDeoTu7P9PQ0o7j -WvFMAIbuaVHNH2m4a2Nja1C9ALYbropY84GGy+yu7zViC0Dh8mjho04a2j92 -Hv/KJX55VSw/t4OG/evfpxcKBBAx1+5K5juCX5qz+S6xAOrET71YbTT8vSi3 -U+u5ACqYtM0xLTSc9Oj5hZYmAYjnqh/pfUND84YvqzNeEXwjPr/0eU3DX32d -slveEnxWb9/Z3ExD15ZatlKbAKb8CNNa+5KGlWqJqaJ2AWjV67CevqDh8lVW -vufeE3/Od5m/8DnBc6zN0uGTADhnx4/lSWi4r2mvhtxXAcjaq8qoimnoFPhR -praL8F+fXJkgpGGH+8aeYz+Jvo94ZY3zaahucfvj8h4BDLeHVATzaKh840/7 -cJ8Apu+pG/vEIf2Z2b5/MCCAhPO2YdvYNPxz5tj3kGGCz6sP2uIGGr42qRhb -OCaAiw1Xx+zqaTjreafyz3EB2HzYRn1cS8PacYbxrQlC2FM9bfWCZzQ8scnE -dY+sEOI+1d/PB4KHr3vcLHkhrOjdsnl6DQ3zn8c86KQKISCqZlbyUxrGLSnu -vs4Qgpx2n77cExqeNmha5KkghLmxH7dGP6bhbiu5yOlKQtBYk1DV+5DcN30F -p3mKEKzUmxz9K2m4cuNRrUuqQphx+5FS+30a7o9kRztPF4LT7bnyrhUED2PN -DgUNIVx/rjlPWE70rXx8vUBLCO/fnDxuf5eG9yp6qxN0hcCIdZV/WkZD5t1Q -szWzhGBw7sRTk1Ia5uRQHk2aLYTNMCG/pISGb7XuWNUaCqHx67PHerdoqFsf -KIoxEkJDc9WErGIaSgytfFcsFEK+Z3vE1CLS/7e5E8eMhcB21tNOKqRhWeai -wkemQshJiRqUK6Bh+FvnTeFmQrg19poQTP6/8oKMqQXBJ3TxkuEcGg7t/Pmk -11IIgR1RWcHZNJzRFnDkjpUQVi24YfL9Gg33rKXb77cVwskNxaO+WYQ/K6Hy -vFVC4C4I6313lYYTtj34+nWNEIoFE9TcrxB+FtU33FgnhMe6VgdepNPwoufY -TV9HIaTMn9XveJngGeGZNnOTEGp+59/kXKJh1PRvpztchCCOvnfe7iINXVrz -Yq9vEYK11C6/JoWGt93OxXm6CeGM7IYv5hdoeGR2wdkZHkKYbgDbHpwnv3f+ -uvLaSwjrN6WML0qi4VSd/Xcv7xBC2LVK8e1zNEyJ1hFt9hHCcyM96ZyzNBxM -pP9W9hPCBV3+xMIzNGT9NNKW+guBk5e3U/c0Da+ZJrgkBxJ9tVzruXaS+PuP -TpLjASEUjN4tmxFPw2ltAyJGMNGTiSQzPY7kVxBNjRcqBO8n3Q+nxtJQY4OX -/5lwIawTycqmxhD/MX7D6kghON6acFTxGA3frxZoyR0RAqa81U86Qvi73BVf -d0wIH3knx+nRxG+pG/tiY0m92YOyCZE0LH3xx886Xggx23XNKYdp+Krv9/u/ -p4RQ6zaadTKchhvPLPWrThCC5cewhZPCaHjJqLEnOlEIB7ed6YkLJXo7XBBn -kSyEO2oGHRNDaGgs+0J9JEUI2sft/h4/SPrz++/pw0tCgIGmdROCaEi1mO0b -ni6ETe9FDTH7iX5UN01ZclUI++/pB/0LJHxfEnN/ZwnhcLNwdUwADf+tKzp9 -L5vov/bJhn/+NCx/8XpDcJ4QWn99OB6zh4bejbunLyoUwq9miw//dtPQ4cnG -n7+KhOAxej/0uC8Ns9dlcEpvCSGodfXiiT40TGfalOwrFcLSSZ+04naSfL+y -Pm3eXSGc+nPCXHYHDdUSHp/quieEr/+pxcVvp+HH0MSYmw+EcDPr8rCcF/Fj -b0OM/yMhvN33O+u0B8mTzD2nZz8Rgvl2vSDaNho+pIRe/lwthA0K6kHn3Ai+ -4m+3C1EIDlriLNZW0s9ZIc+3TghqJqbDyVtoeFeq3aPXKASfgZWxyptpCMvf -a3zgCCFS6aNZmgvJv52qznl8Iew2U9NQcyb+e1OduFMkhI4ZkvmZG2m4d8Vb -sY5UCBtDJ+zXcqLholn7Z3S8EELd2LU3uRuI3/UP78tuFsJIyLVQ/fU0tHv7 -p2H7GyHsyPxtcXMtmR9v/hhotRK9LU9bON+BhnlVkclt74SQqx7hXL6ahrNV -w/5ldQrhPP18zpJVJE9O9IR7fhSC5LVIo8qOhg1Xfw6ofxEC1WNB40pbGjr+ -3n+k5ZsQju7NzaqzJvN2Vig984cQFDo0chysaOjP/pu9rZvo6XqaRLiChmtD -lFfM6BPCrNMTFvxnSfirvtP5pp/oMdbl0WsLMp+sXyddGRJCVsTxoO3mZJ6k -Jtm4jxK8tsb899GMhgrrpX/UxoXgomzvG7CUhmdkCuH1P6Kfa3W5PaY0pG+i -n82QEUFsbx8jwoTkJ1/G001OBDl0dt64MQ3XMS4sUaOKIPOrqV/8InJfcYXq -a7oI+OeNXRkLachbFvQvnSUChUn3QlLnE39uqe/eOlkEb11Knkw3oqHzpftf -pk0RgU6CsnHuXBp+S7L58kpFBD6PWp/PMfw/vvt+pauJoGTgb87d2YRf1rLx -reoiOO1+IHOZAQ2rawumqGmJgD5BpxZnkXxIvm/8WkcEDVSaylo9GhYx9m7N -0BOB5LLWJaku4VdUF+9mIAKUbLHapkPy8EDjYzVDEdzqyFf9oEXD7hMhg6/n -iUC7f3z6Pk3y/0KuxZUFIpht6b52QJ2GvQHCU+7GInD6eavg2AwaKgbGvJ1u -KoILVl/nUafT0GhF55K3S0Ww84B8e8o0GkYf7s+4ai6Cskej1eqqNNS7XyXr -YSmC5h1VnMKpNPQ6vSRc3UoEt29b/Fs4hewvCX49LTYiCPl0cGeVEg1/ku/r -LHsRtG116bafTMNzYb1jnmtEwNrcVCxWIP4575SkuU4EyfN/JG1j0fClsb/B -uw3k/uXJ1z8xSP4OWbGvbxTB51f33h6kE/+HvwrydhFB144Ntn+oZJ9ZtUhH -Zwvh08z55WkKDYP/rH/dsVUERVh5cYo8DecbG2XkbhPBqE/I0exJNNSKfu69 -y0sEI4mRqfNkybwItl6ot0ME+249e/5wIg3P3oqQ/7hLBOELrFfaT6Dh5+rI -TwW7RXD5fFeT5C8VHWwdBLv9RXDXrvKy1zgVL4o+VhkEiuAPN+NE1xgVb49s -Kv+yXwRTc09nRoxSMWrb+TvFB0XwZf3hd5NGqNh8+vqDvaGEv007NqQOUfG6 -2om6ueEiMDNf8kl7kIr5+SvefD8sArvUH8Wl/VSsAvHg7WgRzPsRnb78NxXv -yi7XOHBMBOfevr7L7aXiZvnYtQtjRbChf7h/aw8VQ7bnH+s5IYLiF1Kfz7+o -2JiX/6T8FOFf1X380E8qqgScmBCaIIJsz/hnsj+oqLXe3tE0UQSm69feTe2i -Ymbrl9yB8+S8hGtc3W9UtHsQ9Lcyhbz/LJxV/oWKDYFtuw5fEsGcPF609Wcq -Nl1eLDZPJ8+t56dKPlJRX3jQbuyKCAxmPX7l/YGKroVX4GmWCH4YWzV0d1Jx -amWZ3bFsEZxC1baYDir+TSsXW+WJwOr8Eu3J7VR81JLvM7FQBIWeKedy2qj4 -VvP0v9oiEcT1aM80bqXipN+e+fG3RNCu9Or9s7dUFPQabFxdSvg8d1vo8oaK -1Xc/y1DvisB5/uX3H14RPBqv1XDvEX+zE3TDmql4mOsYd+6BCOoXHj0r/5KK -mzYNOzo+EkH3Cj/NjBdUTOq9rqv4RATBQou3hs+peNPOblxSLYI3T3vwiYSK -C9o+d6Qiuf/nUamjmIqXN58TbK4jeln1mtEhpKKP9WJUbRTB45KBoBABFeXM -2p685ohgkCEYn8Sn4qgoCa7yRZC/2flBOpf0e30V31MkAr+I6MtzOVQstJRv -15ISf+y1zq1upOJyK+loxwviT93LLzc1ULHFslgrv1kESlkhJh/rqDjIT1y3 -+40Impr5VRG1VPwZd/zY7FainxfpgYxnVNQdjq/69k4E5JtqVTZQcUJt5t+S -ThGcMdix1qSGiu/CG9cd+CiC98kO4eynVFQrlc9e9EUEve3RAo8npP4xr7G+ -byJgz+5Z3/OYivJDQu8HP0SQEp3ZH/+IioFmboKIbhFc6wttnP6QijEuf60t -+kTgUhT0rOwB0dO7Z9V/+kWw4GH8J7v75P8hBbYwRPLV9ubiN/eoqJhfJI4d -JXm6/0XxgXIq/qMIfe3HRaDrPbJm0l0qapipylAmiCHCWmny1TIqFjTGF3Fl -xCBYqTRxUSkVOzfM2JIoJ4aZZ7tnNJZQUWnHa/pGqhjObMnz8rxFxUOXkaPE -EIPuK21uXzEVrU81nW9iiWGGw3avhCIqljeoeKVPFsPdj//N0LlBxfGukybb -poiJ3wb/VRZQ0TvRQFlTVQztOSsUnPKpSLEeGW5XE8McB61Vn3KpODPr35c8 -dTEEzk0uOJJDxfdLl7fv1hKDysVTRlOzqRhxo/TdHF0xpElGW0uuUZEV6/b5 -u54Ydpq+f2CXRUW254rBMgMxDCibPGy5SkWJ2EshxFAMwroPHaFXqOh88MmC -JUZi8MntWszMoJLvp61bhxeIwYy2srTgMukn1fTME2MxVHs0bVyRRsUhq/+e -HTMVw6E/+TOaLxK8Qh/I2JqJQeSczwpKpaJ/necGOQsxLGvgzKGmkP4a1l3n -WIpBs46+LzeZ6E8xdviclRjeVXm/sjhPxY3LJnpstBWDRKsmoCmRimEvBQ3K -q8Sw1lfD4MA5Ks47+mlZ8xoxnJANplHPUvFMw4b7V9aJoSri3tS8M1S8ZD9p -mZejGNSsXq2xPE3FAxdY9TqbxFD59mVe80mSR1YBbh9dxJAjKtAPjqdizmf1 -gaItYhDnWkgYJ6g4Q3PW1UA3MRi9S8q7EUvFc4fj1yz0IPxOTsuyOU5F2eSV -431eYijkrK5pPUbFY4P/PancIYZFV65QDh8leK9qjI3yEcODafGHpxwh+Tk5 -fdNKPzFUtP6ZfCeKigHd7Nkye8WQcGJUsi6SimsitlEaA8UQdyv00ecIKlqu -3NSdcEAMjX3b2XHhJG/f3mp3DBbDrgkV41phVIzvDHytdEgMjlF+Hk9CCX/f -Lr15GS4GF/rBjq0h5P8Jsz9ciRTDbK/GxP6DVKzcoj/gdUQM7jN37EgJoqLV -p2TFmTHkmWnqseAAyVOh/+LPsURPkmVH+fuIvwrLvW7FEzwNdjf6B5K8nLgv -5cBpMdjy7iyVDyD9Rl4RLj4rhjeHFUX5/lT8nrtceShRDCa/oxJt9lDRUGmz -95NkMTT9+Rrcvpvc5/XxfkyqGKZ5bjp21Jfkv8YvZfs0MSx4W1Su7kPFsg8h -kdQMMUy3+8yo2knFj2sPfRVcFcO93TJJbjuo+OTjb++Ua2LImvLbdGg7FVXX -/W7fkiOGDbp3ZC97UfGX4iH/GfliYPjNHzH1JHkpiBh5VyiGb098VZq2UbF+ -6oSL+cViqP+33i3Uncy/GIUl/iViWKf09pmyG5mfeQXtRmVi+P5czuWeKxWf -T6lP7b0rhs+GjVSXLVRk7D3gVFkhBpu/Sp97/6Oi6bJC5ehKkgcWHd9SXKho -MS2g3eqxGFSFs6cudqbi5Kya+5OeiiG8sN33+UZyn2dBKrdGDNSHf1tCnMg8 -+6URef6ZGEqGoiOnOFIx/Kuh/3/1Yhjxdlpxfz0VU9oF3mpsMWz9vm/2lnXE -/wGUHW1cMbSli8wGHahYq9ninycQwwG/gAPpa6iYd2Ft1B4x0fM2M/6y1WQ/ -cNt8yei5GNhRRk5v7akYzRiv7G0Sw7DYeijajvBhtep95SvyvDuwUdOWiryE -BapH3hI9rc9/AtaE7+NVLjZtYjBNaW/eaUVFblVXunyHGK6un6Y2aSUV6UL8 -xH9P9JViE3PDkopFjistUz6JYWn0Fuba5VQ8/9w30/WrGF7pr4Pv5lTM7V0i -q/FdDLw7qhnnl1HxmXVFaOdPMcRY3LtsbEbmy5Z3P270iEGja8qTpiVEz42P -Duz7LYb9nxbLHTalYqKh/YjxoBgGt8iHqZsQvqfEJQ4Ni+HDnpN0MKbiF/VD -c6rHxEBbV9SwaxHxyyt1YdxfMXTP97khv5DwcWDFioIJEqhZc/f2rfnE3zvW -qlFkJOAkOvnayYjoK/He0F5ZCaiPvTX8PZeKH2oiWwSTJOBIL8pJN6RiwrPs -uoXyErhp0WlpOYf0461/N5UigRzh8b8dBlTU8WXkDlAlYEc5+umkPhWHr7hc -dqNLYPUCYe/cWUTvgrHkJwwJTEz015PM/H9eUc5rsSTgv291VJguyTPniAux -ChKYrLV9cIYOFcfM16d/VJSAUd+NdNSi4o918XlrlCRwyVJtu58mFfud9O7d -UpbAvf9urmVqEH0qGTaypkog6YLztnszyD7kefndQRUJ8JyoF9ymU9F8LHDs -haoEbvyo7/o7jeT341saZmoSGOAdCyhUpeL8nf/ZXp0uAX3H+YobVKg4Uu23 -b3yGBJa+Yb/um0LFa1c/Xd2hIQF4tYp9RZmKCrUSYZ2mBLorrr+1ViL76b85 -crO1JXC8hav8VZHoS7Pb+qyOBNg1NUHJCmQ/+KwX+1NXAoWSQ71LWWT/mc1p -2KQngcRTH9LfMcg8uNmqcH+WBI66yficolNRedkuz2kGEqA+47gsoFHR77p7 -WdRsCaxfsWBPM4WKHkV1k97NkcCvDXNzjslTsUMz19tmrgRmhtwfN5Aj+An6 -agrmSaDIuD5GLEvmUczjmdT5pB5lZ4PDMmT/mDB4NnCBBJyzXXp1JlIxW/3m -kGihBDJ8sIP7j4JdV1/4LzYm9fxK6Q/5S8Ena8PfpS2WgLe0xkhjnIJTfqe4 -jZhIwCBnZULDGAV/7Zz9ynOJBFb0UulBoxT8b6fZNlwqgfNeKnfURii4/Glt -p94yCZw+7nG4doiCpSt4+0+bS2Dq8PPd+wYpePOu098uC4KPb2iE6gAFF3Zs -uuhkKYFZe01L8TcFV6dLje6tkMDILRYlsI+CvTlSnoqVBBjPB+NVeilownHe -H2ktgYdnvhhgNwWnvnaZ2mYjgXfRr34E/KJgRuZLsLaTgGRbTbPKTwrWt70N -KrCXgNerix/xOwXz9vrMoq6WAL9wo+q+Lgqa0w+2Ba4h7x/5FjjtGwWTzk7M -FDuQ+lTcP9V+oeDdB2peJusk0DXvctyBzxQsdK3US18vgeqjGXYzPlEwelnL -r9ENEijlb53T+IH0b3CmZruTBCpe8xeFvKdgf1d1au1GCdgE/PDU6qTgPeej -gQbORG8O5bd57RSM1Wc7nHWRwBdLZZ2IdxQMM86a++s/CdBVKA/12ih4xXp8 -sssWCQiyTwdLWij4V/P72ANXCdSXndt49C0FH1zy+z7djehbheE89w0Fm4IO -th91lwCnZDzs1SsKBkbRXnduk4DKWo+a+GYKJscsfrnKk/ifqz538UsKbl73 -o/mmF9Ezzexx+wsKSgrN2ljeEtjUVRCY9JyC6l4qX4N3SGDc0ctmuZSC65ef -Gnq5k+A53c3im5iCkYxzDAsfCdwxSXJNF1GwNmPWrOu+RA+n+tNWCQkeZf/Z -yPhJ4M/4yeHffApOmjbdx2+PBLadMT+Wx6PgsuthCTx/CexVpcx25lKwTyHg -/oIACThkfu77x6bgVtOhD6mBEohiSjrLGikY80ZTbWifBN7ufPLbq4GCF7jv -NnkckEB+Ws4cVj0FS8QW5yGInFcQcfxpLQV7KhdL9IIloJa0bCzwGQUT1rFV -z4SQfHJuyVBHCl7cMrLzR6gEGn5vdefXED3kc8s3hZH6om9YRldTMPfvMvkH -4US/PTW2854SPhc7eE8/LCHfd1cCW6oo6MEYfno0UgL9wvkPzz2m4MT/1mq/ -jyL3/3dI3/IRBSe/tDy1+gh5/69v5Y9KClZ6vui9dZTk24ehvdceUFD/AWuX -YowEzqnpWzvdp+Dpmz+aQ48Tv1V+XPbvHgWV5II3vY4l+fxqwea75aSf1EyR -5QkJLL8ylrLzLrlfa79zbrwEwtXt+pTvUPBEyOfXcqck8Cpm/FB9Kal/G3V3 -wGkJxHTNnBF+m4Lfcl8MiM4Qv8SWdM4uoWDalLXnTM5KoORAMv/NTQq2R+3V -zzgnga8tja/OFVPwX96S+j+JEugcXCu/soiCplvL9uw8T/K6e/LWnkIKPt7V -pNiYTObD4BReXgEFBReKn85NkcBOm/XeW/IpWH573oHkVFKP3B1Vah4Fi2K3 -z+q/SObLEbOeqhzC91ubdrc0CYg6Wr/vzyb6PdF8vfqyBEKC0mm61yl4aY2m -z8wMCdD8vdc2ZVEwvFfV6PQVMs+Y80tOZ1KQu6F+5PtVCSzKGV6w/CoFn88y -EGzKIn7dW9X0K4OCrfYr8h9ck8DP8oCsvHQKLj1Mj5mRLYEftRNPuV6m4Pyz -571jciTw8ltECj2NgsqrefYfcyXQFNZQU3ORvB9Rs2BtPrnv0XtWaCoFv34N -1CwrkMDHSZxjs1MoGO/3YvKUGxI4WL5fqTWZgm5PBqiHiyQgpypouHCegnDv -hVxbMaknsSVzVRI5X+0AxfYWmU8hly6OnqPg7coGVlEJqU+/+/ads+R89xY1 -ZqkEyigfv/gmUFBXeGdOcBmZD9GB9jPOUPBhi92K5jvEn5+O1opPEX05Z7gu -L5fAlLIpu06epODZ4dJDOfckIG+lr7c8nuj92sl0ufsSUJ1UItcbR8FQhg4E -PCD5HniNVhRLwQrWse/iSgnM/dS/wOs48U9QjsaSRxLo/XAzbEoM4fPPaZer -j8n7rffbuEcpGHd8SdK/KgmsWqWw5/gRCpo13hT4PpVAQXqZklk0BT2vfJrM -qybzyOl8289ICvo1fHNfCBK49aWQV3CY5LHKw6JLKIE573++9ogg82SL0+jI -M5JvsJ06JZzg53zX2buO7AuTet14hyh47EVbaX09ybcl13ixoRR8XfRKYW6j -BFJbPbzMQyjYeeX6oWS2BOLj9JV6D1JwephJez9HAqb3+z4VB1FQVi7daRtP -AsYTnrbsOEB+V+HVAl8CC4Yi+9T2U/DjQeFyfSGZN/P050oDKfjlQ+7jsyIy -r00q4xICCD/mDpY9YpJfBfp/bPYS/654VrdFSvJy+r7Lo3somP6EtenJcwkc -MIpzrvCj4JtjCzp1miSwJHrH/H27KUj9b1bEqZcS2Ff4z1Dfl+At26P0o1kC -uMFtzbtdFIzwTC13fk3ydarPyfSdFHw3h+n68A3RT4Hax007iJ9Nt//TaCF5 -lxvsQ/cm+b8uoTSuVQLpj/xk672IXszO7/jaRvR3qafuqCcFOxr3qzm1k3n0 -gVJo5kH4qpvzsqJDAuWuhTd63SkYNAKXp7+XwFD2M06JG8lzU1OvmA8SYB7a -wvDbSsEqq1NzPn2UQFqC+wEdVwp6f6kcXveZ5PGVxt63myn4frBRePeLBH57 -paWl/Ufy0Pxhkeo34tdLNe6bXChoc+TMqSNdZD6PWaxkOFMwJGF5wPvvEni2 -WdaucSOZB/OlLg4/JZC7a7J/rBMFnUzWWZf9kkB017ZSS0cK+uwpWjy1h+R9 -RYvy8Hriz7RvhlG9Evhw6lxGxToyz84oGXT0SWBsoc/KoLUUfMHUmb26XwIa -RzwmzXOg4KxfKvNvD/x/f93f9Xk18c/wbzPlIQkorkjpyVtF8nWwas3hYTIf -XVHV256CWg8CPd+NSGCr129PdTuyr/yTD7cfI/vsHL26VzYU/JObdOnWHwnZ -/x3WXrKmoHTPhEeT/0rgQqhn9yYrkveaOzrC/0nAsHTrA9ZKCromlbLaJkjh -oqZJJs+SggXx36zsZKRw5MaXnNPLSR6IpkbclJVC0rwDjfYWZH8wW1ShKCeF -mFRgyJgTf5+17A+Tl8KkuqaDYEbBVZcsLFopUnhx48bAkaUUpOjMO2lLk0KB -4YKrFktIvo0ovCymS2Gxue/2YROyX/38bKjIlIJxg41t5WIKOrIrToSxpLAd -YNUhY5LHLuHvWxSksFf9lf/iRRSs8Vi42nayFCji4yU9CwjfZe1lxUpS6JI+ -YN2ZT/SnekZDcYoUqjSDkvcbUXDaDsPksKlS0CkrXGQ0j+xfW+vlW1WkAMdd -ersMKbiX7X7CdpoU5qcdkN6cQ0GFo12TbqpJQe5nn8R/NsHLPuKc4gwpiM+9 -7p5tQEHLrxOmhatLYXKE2oIvsyhYveRMUauGFFZXlpy7oUf4GmatsNOSQrvL -OarfTApm/kl9dVNbCrZudwv0dSkoo6AWMVlXCoIXU3Z80qYge/iaesRM8txU -ZlGoRebLGf2GNj0pnNoXZbpbk4KpZ++E2utLwagsyFFfg+DNtZxdYiCFL2Wn -T36aQfyoLGpXmkPqO/mktXA6BT8v8r122FAKP9ZP+s9PjexDvf+82+dKwUzD -46vBNAou1s6bvdpICmlTHmd9USH76+n1/bfnS6Fz07SDxVMpeHTgT8OUhVJ4 -3X9g194pFBxc8jArapEU5s18HDpXmcy7qdGHO42lcHj8V/73yRS0277W3cFE -CvaltN+3FSm4/91MqzumRA/bZHYeUCB+3kmdq7qU4LXg+c+FLJJPFaPTj5pJ -4c6WkCu9DArOzB1V+LhMCsr/Wnwq6CTvBqm09RZSWLuN6hhGI/PymAH13nIp -bLnSs9mMSsEAymbm9BVSUOtJih6Rp6C1Z6rK8ZVS8Lr0Bp/IkXmy9r3eFysp -SKoFs45NInrItDdzsiH13NhRZC1L9KtVtfGBrRRCzpx3kJUheF63269hL4X9 -eRupjRNIvV87k0+sksIyk2ufz/yTRyNO2sOu1VL4FX3ww/q/8ihP3/HR2UEK -56H2r8K4PO6MslF9vFYK/bZJy56PyWPmJwtHnfVSeLeBeyFtVB7l1BwTTm8g -/9c/SHEfkcd/bYd5vxylcEUtOktj+H8UV3c8Vm8b5znnPGVUyk4DSYOUURJC -JBWl7BkVkoyM/BKhyCpKyWxYiSJFoei6qZQRPedZUZRCiJRCirz3++f1Oefc -9zW+4zpM9I0AMdu9LNA//nnvxwkmUrGVd66zZMG803kKBeNMtCL32l2l/bje -lPsLj/xiIp372ozzVizYNyEkr/qTid7tH3X+ac2C03MKzb//YKKQ/S9qHW1Z -YCATnl75nYlOhj9WaLBjwcKoeIGTo0zkdK09aY0DC3ZkPIvT/8ZEl6Opvxcd -WTC/VnkdYwTnP+7s/9uJBT5md743fmWi4Re8gQMuLNiSs4tOGmIiEQjyeunK -gtUy/1iWg/i+Uq2vam6Yb8tgVHKAiR66LA6+6s6CPRJxKu/6mWhvzkrGv4Ms -ED+wN/ZmHxNxN9qleRxmgajXwhmPXiZiT9xb99qDBcJXG1NVPjMR786GFi0v -FlTaHTH90cNE4QqdvjlHWBAv+1266iMT2SuVSpJHWdCyy25OxAcmIqJLGnx8 -WHDVOV3CuJuJFEh2MPsY1p/6YgOhLnx/2CpVXT+M/9G4+PZ3TKRdfnsgz58F -e51URtM6cX8C7UqEj7Pg8OkLQc4dTNR4Qet4YCALcugiyRVvmehVm6F+ZxAL -PrGDuIM8JtJkRMzfFsKCkdmhB+VcJnr8a7C3+AQLjHjMslAOE0kFxaOF/7Fg -1VvUuJXNRAK7HHJPnmTh/79FMxSNvzd1iesJw/g8Nm75+g0ThWqlBe4MZ4Gs -yKGGK+1MdKFH8ND9CBYwhq33Obcxke7iAnvZSKxXmc9nVrxmoj13wq2io3B/ -b955+bWFiS66n7cajGZBwAXiXkUzE70V4tjvO8uCO99fVJxqYqI/AdaHamJY -YO40zDV+xUQth+YHKZxjwQG3AEnRl0ykdI8RnxDHgporuwM5L5jo63KNvB/x -GK/JocM5z5no75lr9Q6JLLD6MnLW4xkTGRZu769PYoHg5tub1RowXqxUxNZe -wPqz5KbwJGKiGce9BqnJLLDXbJ8CYCLr+AdBf1JYMLp4PTPhKROl3rYpPXiJ -BaXBNev31zFRWbzOcHMqC4589johV8tEueOuGzSvsKBMRKuz9zETedU2nsxO -w+dflnYqq2EiwZLjr4h0FnBXiE6FVjNRcJLbkmMZWC89RCqNqpjo2borIZxM -FniQC86LPMJ8c5nH0cvG/SgVi+ZWMtGGwVbtwhw8fzHhyzcqmMgnh31z3nUW -/Hv/q977Af7eRHHBiRssWNbYPE/rPhNZ3as5032TBW2RsSf+3WMireKsv6Z5 -GA+wbPpVGRPFzb44eS8f+4/+xeuXS5noeKTejHQhC1ZWsF1c7zKRxMS/2Khb -LEjs/KSz5g4TXdswX2KwiAUvA6o0fhUzkd700aJ9xZj/WrvN4DYTLVGWMnxc -gvPpTQ9LLML4PCXWrXgX12+S3mRzi4limhyjk0qxHksbb1QoZKKIrvE1v8pY -YKiQVjecz0SFMZ/4zuUs6F0Td7A6j4m2nldIenGfBbemFinF5DJRSn2FsVoF -C547ajAsbzLRhx+ZgumVOF/ZD9NyN5goeojzfPYh7h9DXGLgGhM9/8/jwpEq -XH/fyx2VORjPR82dWNVYj69MpkdlM1FiUqLalsdYzz5mkxZZ+P0S+Tn5T1jw -9XrZBdlMJhJKW9AnUseC7YVrNPvT8XNp+1fBT3H/W5jjD64yka3A3/IuYIHt -kAE7Mo2J1JZMXTetZ8H+rrbX5leY6Mlmq9R7DSwYjCrtlb2M+7tCOEnmOQs8 -K7jSXy4xUVPxsoToFyyoszbyqrzIRJszL50fasR6YTpER6cwkREcSrN6xQKR -Y82Oe5OZyGMwLb+2Cft9ybt/Sy4w0eq+1VUrW1gQ8UUahpJw/6OWvkluxX4r -ejK7OhHjIS742+RrFkgzpi6fS2Ci6ia1Re7tWJ8qL922jsf1i1voNr/BfF+o -36EYx0QdGm+8NWkWrGeOr/wRi/s/Xn0th433m5iKZIhhIofVc/kUlwWaEYHi -yWeZiM58KunPY0FXr0ql8xmsV9JdDm/5LDhR3hGgEs1EUX6H8406MN54ITv/ -RGI8+dqMlXRiflj+0W86zUTwsdxU4j0L/ki778mIwPWnh96M6ML+tLogzCuc -iba5lsz2d7PgVWRdw6ZTTJRB7Dps+ZEFt5cUKTPD8Dxt7NpqejAeZx1vcf9j -ImN5tv6KzyxwUmEbFYbi/mg+fXC+lwU6+UJTwSdwvU6y6yb68L5y7HeLSQjW -M6++uwe+/N+fMh9LBOPzlFZoNA2woH7Rl+e9gUzEOsCu1RhiAcF4N1R5HNcz -MGGe8xXff8RfNTaAiSaSkj9RI3g/s76eYOPPRHIy2RH+31hwlO3OUPbD/ua4 -dFnHKAuWTlZcnTjGRKsUpZ5v+4H1gpVs+tKHiX7pnvO/O4b3ixPDCzOOYn0/ -4Scv9YsFfn8afx/xxs+vt/Mix1lwLETmr84RJloXU5I6OMGClNlOGREvjP+f -s1ZWvzG+Hszd/94D31/7ZnHdFAsU72TfKj3MRIMlS78o/8X7DpUsFXkI+33y -l+qL0ywo/9iRa3mQia5orb/4ZwbjxeWkmaI75rfP+LHDsyzozPEU/nUA65mg -7t42ARo0n2V/eeGK/eK5gPZmBg1m44s+prswkfjZHUp5BA0PHBp/ejszEV9Y -TFqUoiFXplxRzwnrzVqnBSeYNLxyaj4235GJ3O6tmfdxDg1+exbQH+2Z6PyR -cLFdQjR4LT25v8KOif6tsJatFKZh4aTgt1hbJhq7d3/VMlEa7EUKCuxtsN52 -punGz6PhXpLDCRVrrJ+BgjZj82lYfGfJoX/7mShz+3iQsxgNite/HGXtY6IA -xcCMxoU08LMqLxRYMtFO/n8NG8RpePc2oiV0LxOd1RAey5KgYf8lfaXde7Cf -MVatoqRoGPg3kr7MgomSJN+4+0vTwHNJUB7bzURrtjDzOmRoePNV6M2LXZjf -W5u/GC+mQWHA+0rmTiaq+LFEs0yOhsTL+UG+ZliPFGbPyiylwWHDfV+jHUx0 -Ped455llNBxkXDgjaYr9Uj1k08hyGib3qD8YNGGi1jLhDDsFGiacM6brjJno -8yeN2XpFGqqDa91Tt+H9J+ebj6oSDcs+pvd4GjERKt7afXUlDQlDSuG6hrg/ -HStsBVfR0PnRRV3MgIlq/lxn+6ym4b+F+oJ9+kx0+l25LW8NDdtaa7/W6GH/ -2+X4wVAFz+sg/3uyLn5fKsf3jioNJ1bFiR3ewkRn5ocKSqnRsNK/cZeODhMV -CAxnRa2n4XxKyo35m/H+8+SvztcNNMz7+H5+7yYmejG/qNtGg4aYmtsZNRsx -n199i0eaNJieGNFL0cL74iP2ZpWNNKgGFv49rMlEd4ttv6VtouGMcAtniwbG -v/9/xQKbaVhy3f6VmDr2T57OUR8dGnQvmPH61zORcFn2Bt4WGm7qpP2rVcP8 -e3592lAP18/UMbq8jolEh4zb7ujTcNte7bq3KhOtHU4qlDKgYc1Vf0lDFbx/ -ZoWeiTbEeFWevCW1lonkn83xGDai4UAQ7B9ZjevZqG9hZ0xDY3+DzPNVWH/r -ZXQbTGgYHv77O0sZ669Wtto6U4zHn4d/Hl+J9dH1xaqMHTT8PfJ7zk4lPL95 -GcrEThqMnpZvkl+B+bFIQsVvFw2iHvGRkwpMtHLLlo0du2kofXPyU5s8E823 -EdluYkHDt5DIA7eWM1G/erzjvT00zG25PBGxDOv3jfshiy1pKN5xv8hmKfYf -3/irsfto+H6YDly3hInEfObVfd9Pg8+1H3aUHBM1exoNOllj/PsK2XXJ4v1o -w0q5lzY0nN0nEfBQhoksrtbs17Cjwb9JNP+CNPbfI7Mp1+xp0LMZGfWQYqIf -IZP0XEfcvxPltlslmejThTy5YCfMh3JLvpQEE92IFDz6wZmGK/Gvjo8uYqKj -iyWf7nKl4cnZRcqvFjJR2rpu6UcHaOCuWfPrphgT/RfvEqrgTsNzYs77kwuY -yPPP5ffnD9LwPvtW1/75mD/7z+z4fQjHEYwplXlYz9zWVB/yoGFok6QaJYrx -8CtBrd2ThjSbjvBuYSZa/76gZMsRGj547+yrEsLzHAhTveVNgxrl5nVpLq7/ -i2jlQh8aLB9LEz5zsN6UOBlFHKPh9FKfahMmzmfWizPgi+f33DpuGYX95JGG -r7U/DYPb2/1/E9i/btSKoAAasrdwj9MM3L8EZrlKIA279dwv3BVkonLjhY7p -Qfi+ft+GcwJYH653CREhNIxyxsXcZylk730M/E7QcOHWz/90/1GoPOhpWGco -Daf+uP+RnKHQ9gscXdOTNJw7rpv2/S+FUOw9xoMwGvpKw3a2/KEQV9WyfWk4 -Pt9qsfStKQrp7K/KTYigwYUp+S/qN4Xuveg7OX6ahnZfj39OkxT6Yfvezj2K -BhN1poz2BIWaudm6r6Oxvk392LVonELEopUrdc7SIBO4In3kJ4WC3v0nURiD -n29Pm341RqERwQyhhedoOKq47VTBDwrtsjlLRsRhfXqkJB71nUK+hbrUYDwN -L+9rP3capZBBQ72ITSLWqxchydrfKFRwSkqmPomG+4Udx8VHKHQ5d8vadRew -flOufqNfKTRNrN+WmUzDxcyZsy1DFPoY+OsAdZEGgcUVD4oGKbTxadLZ45do -yNx68s/ZAQrNfTR+tyuVhk9ol5PbFwp5rNV8v/MK5qOTIlevn0K2X00WPkrD -+tPyx0u2D+f/SsVcMZ2Gttdt4hOfKWR+eeB8cgbWA4XMt/QnCl1aHM7+k0mD -UJz1o3s9FOpW+7LcK5uGf/D37vmPFHK+uTaQnUPDkZSEWu8PFNIz2NFscJ2G -gprfvabdFKp4p7/67g0aDpEmykpdFJravuC8TC4NFZs8owTfU2j/ntrxmDwa -fso4/uzupNC/59s9fuTT0BG8OLK2g0KmYXc7XQppCJbMW5H1lkJRW3/YNN/C -evTy68dQPu5PjwR/020a7tiNPbLhUUhio4xrfjHm/9XyQk0uhVbPnR5acIeG -G/sVShdyKJStUh8RfpeGVQcMXo/SuB7/I1KDpVgPkylmGwvjr3Cs0uYeDd4P -/ezuvqHQuRw3h4ZyGtYVh9QntlPo3coKYv0DGvoNJU282yj0YeHXiuwKjD9r -sw87XlNIWl3o6NyH2K+fCl1WbqUQ03q+csgjGqIcrA9QLRQy2f33S08VDRaC -K0x6myjk+eXNvT01NNReDjB69opC5FRKxJPHNNwd1bbLe0mhZ5Y6+1bX4vfH -g2KjGzG+4PXatDoapM4tb3V7QSFDyT3CDKCBE7NRxfA5hQ6seDLqhzAeuOV5 -y5/heT+WfPeunoYml/PYCCnUV+LaavYMf08+6+xGFGK/uPrs4XMaQsv3Zj8F -CvW8e4oUG2nYZL4u+PpTXF8d/1nKSxp66209TtdR6Kbep9bpV5hPM41+rrUU -Eljz4Z13Mw0tX/+7uPUJhd5btX/ntdCQccqredljCkklV4iYvMb6mXNhyWw1 -hTJvn1e930ZDskH/uQ9VFLIJdrJa9oYG0u6YEHpEIf0G+agkFvZP3uKCmw8p -ZHGo68FvmoaGB8O20ZUUil+d+tWDg/H46b3CwQoKjX0yWMvmYj9y6ieNH1Do -6qEvfoZ8GnxlSAGl+xSKPZVQU/qWhvWL1MWpcgq9/assLNeJ9zGTI1v7yyhU -+hC5xb/DfCwpiH5ZSqGVYXZ14+9pMDTpeX/7LoW8Fw8vP9RNg8QCWcvEOxTK -94qMf/OBBiSy451PCYXENBdN6vfQwNb1PG1RjPtrUehz5xMNy/OO66y/TaGD -CTr9Mr001Gw7LLqwiEKvHrV7nuujYVxRZ3KskEJHio6M/OzH+e78OsUpwPxX -pcLcB3A+dSESVfkUui59S7R9EOtDAts0M49CAzrmhXpfaRh7NHvxVC6F2g7/ -Ni4ZpsFq3/iYy00K1XnfGZD+ht/3uHfM8AaFFBd7Xo4dpWEFY80/xesUOrFj -jcnP7zTMbHQpoq5RaM2z8T9uY5hvC3ccGcimUINra1XbTxriinoMW7Io1Pi1 -NExvHO+HwqvVyzKx3upmG5dMYP2zkNS5lIHxLJ+2SOY3DY7xBfbB6Ti/ozlf -YqfwvvbmTYrdVczfkfsNP//gfUo/rXtLGtank7x892msp0PDJsuuUIj1QTip -fYaGy6N0g+BlCjn83Puf/iwNv7y32fddotDu2Fs+dwTYsP7EJqrpIoX8vRZ4 -yDLYcFijpOluCoXCfJIOxxFs+FWXUXgxGev9Ibmj4yQbwnVmMoIvUChSHoUc -YrLheSOdb38e8zMkLI41hw1d8RKNekkYrxq7bxgIsYFRUDcrn4j9RkWzrlSY -DaX6TZZUAj5fXbNHTpQNieEaNYNxFFKSMhdJnMeGiPhfm9vOYT7cOa37ez4b -8hKF3zyIxfU/aznuKcYG81L/0+kxFBrfoFXGWciGKbnlJuFnKfTmefX3beJs -OEpIKLifodDZfY469yXYEH9pp6RpNIVkimXjl0ux4b/xx/IqUdivrk2+vyDN -hksHDhmLRVLokOC49rQMG2wFt0aMR2B+3FqUeXQxzm+eaVtnOIUKXfcJdMix -QbL6xCZ0ikIXpu/77ljKhsWbWh4WhlHIeP/GnofL2PC1bqt50knMX433jkry -bJgb1zoV8B/WH7+izlQFNqxs9n9qG0qhrLfpboIrcFy/IkvvBIUWmpQN+yux -Qb7o83nFEArVnPl6unslG6yrS67ODabQT09LaYtVbNioEVz1LZBCS551PXyy -mg0eVrqjnOMUyvC+4rh2LRvuO/3VfxJAoS7VECpThQ2y5+/l5/rj+X+IejRn -HRteKlvJx/th/bWq9j2hxoZF/j0Vfr64v05LVPrWs+F0sY2rzTEKCbaUfrNS -Z0O93J3lej4UOhzkW92gwYZK0a5JxaMUurHKOV5diw3uz/v7hbwpZPk4zPXm -RjZMJz0b/u5FIfF/TVsWaLPx/uAn9NaTQlde7Fp6ejMbCkM+64EHhcI/z1Aj -OmwYXb807tZhHK/t/eWki+e9VnrgwiGsX77/Bpv18P2VrQdCDlLo6WmLPp2t -OL9lOt+c3SkUp0733zZgg3qN3WUTNwqF2F/4Jm3EBgf+ir2qB7BeN0ZOn9vG -hputGQoSrrhfe0rEJozZwBq5LzztTKHUhnkqHttxfhePCvc6UShvomQ3x5QN -v0Wfyrc6UmhL3ZlAYzM2WDwusqh0oNC+wbQbD3ayYe+Y4qUce9xfiz5aYTcb -EhaofI2xw35Xd1z0kjnuv+8TJ19bCrmL6pkL7GFDjnf7JxsbCgWIbk/138uG -ne4Ho7ZaU2jppQvd3ZZs4Ff4a62ywnj1lVLfs58N5+vH/i3YT6HW4I8JdVZs -aP3a/+G3JfbfsOEBVRs2KKXt4PfspdBFS909ObZs0FcQ62veQ6HAltc1IvZs -+PJLV6jSgkK/6gpUTjmwQeJEo/E1c7xP/EX5Q45sYIvcuXJuN9Z32xWKjs4Y -78v6/vrvohBV0HqryYUNY1IBJx12UmjwYZ26zgE2yLjtmGdsRqG/ByYbbrux -wcnDs0p1B4VyQ8IcZQ6yIeDyq1ApU+yXzTt+xx1iwyp77z0C2zEe1N1yJg/j -54omukPGWM9OPzf18mSD3UHrrZxtGA8xIZM8LzbMS0ize2qE65UOLjP1ZkPn -XCLutiGep0i9z6OjbFhhk9GaakChFZou65WP4fM+Wa6O2Eqhowd3TqX5suGg -8uosL30KfT12ronyZ8ODdFnF/Xp4/1GWvBkSwAbdMnmkp4vvPzgR3ncc4+3T -5uBVWyh08tdaN5sgNny857J1kQ6FbpdX7HwRzAbti4nLZrQplHb0ks7GEzgW -eCIxsAnvGxPP1xeG4n5HDMmzN1LopfJeVcmTbHgWK2H8VItCVW82rI8Nw/jL -1DpVrEmhuy+Pbh4/xYaizaZNVzSwX36Y2eERwYagPpN1Uep4vxwecuGeZsNl -RdUinw0UulWvEbY9CvMnaHKT3XqsZ5q8nIfRbHjkmvd+mxo+X4r3YuVZNnw6 -sjpDbR2e51bN8bQY/Fw21nuxKoVaTn9byzzHhnNTFZZMFYyvu3O9TsSx4e6l -couxNZi/WWeK++PZcPvYCbfu1RSqX+oyZpvIBqaUYELzKqx/wplGL5PY4LPY -/OUjZQoFa2mna19gQ/IcK7n8lRRSDdj8sygZ9/PYwtgUJexnl67ZyFxkg83b -M2T4iv/j1+tp/CU2tLzPyzyiSKEH/KvrplLZUCzia2KjgPW8QDXf+wobyN/v -yW3yWH9vr1nemcYGkU3fOtWWU2hTdXLurnQ2/HXMaZRbRqGcIue1TzLYoDzz -6eXcpRhPu6/UqGSxYbiirntcDvt96Ka9OdlsAOnVIp8XU+i0oMlX0WtsUGxY -avFGFvtDbd2FiOtsKLHIKqiToVD16YJN327g820yF96RppC13FSfay4bXoRK -XcmQwvu8V212ex4b2iznqZ6TxPqoPWpnWID1IfJkR5AE5rNb6uL7hfj+Atsc -d3Gsf49ufVYoYgPtdjN47yK8L89fV5F6mw0XbfYf1F9IIeWtyglECcaP8hEP -FTEKDctc9gi+wwbOia4I2QV4vwkONuu7y4a04dI7c+bjfVWpRd22jA231nG/ -jYvi/eBfusLLe2ww6dmzo1eEQiJv30lvvs+G6ntSD2lhCinEpksUP8D83bZ6 -c70Q/t/qbJFeXMmGKOPIN/fm4vmVnVRIeoj1z1X69PU5uP+cXPXpR2xYbThs -eIGJ8a+43cy3mg1ZaVMy4RSFRH0Pe3TX4O/n6TJ9SLwPJAgk7H3CBi+7u3Md -CQqVmS+uQLVs+Llip/xOBtaXpAef1Z9ifVaaZ7FZEONnSfPifGDDWdFfyasE -KLSW7W4vUc+Gb8lTfVKzJDodG5YT28CGJ26y+5n/SHR9ruSXiWdsqNDeyx6f -JlGbusbmIy/YcKP5qnffXxI58OiUjkbsf6yvEtw/JEppmRzZ9QrjidzFfT5F -IlZ/7v7aJryPLCstqfxNorAZVt26FtyfDrG0gkkSjffGr7/RyoZtYwFXrkyQ -qDLwZZFYG8bbyqbbMeMkUglPVj7TzgbhDZJ08C8SdfG67/x8wwZN2lLM4yeJ -LOxrtD1orO8toYdsxkg0j7esmcfG73fFtmz/QaI7K8UOmXHZ8PjVCbNN30nU -tCSZ8ZiH/W2faafyKIlEL2XeVnmL8aT7PUr6G4kW22vaXOtgw27zAL25IyQq -2eE8d8E7rJc7G0SnvpLoxEbJhqj3bAiZ6vkxOEQi/UnXM2NdbDBd2fK1c5BE -7Qe37Dz8AfM57eSflgESjVncluJ9xPojMbi07guJziUXD+34xIZrvpK2Zf0k -Ovpn64uaz9ivjv3Ju9FHoigv71sqfWwY6bpMXuolEdxZk3ytH+8/F7vCznwm -0aJrUeELBrDfWbGp4E8kil7ofzx6kA2bJwIKPXpw/R/Gj/0cYsOBXQ8c7D6S -qP6dpL/HMPYvhcuKOz/g/na1h/JHcH57FwjodpNI8IlS3M5RrLdFimOqXXi+ -OyWvPfmO+zP76vey9yQydsurWTfGBp7qP/GF70iUzGl9f+MnG2KZT42JThJN -hKcxF41jfTtMxo+/JdGj9TObYibY4Cb/+uMXPokWPCP9JibZECkusaeTRyK3 -eaV3jkxhfZHltrdySTTVOzHa+YcN3aKinsDB/ZT/vMVimg3jLZViD9gkykwL -PA8zbNig1dJeQJMoRO5Wr/os1j+l3fnpLBKZx582LhDgwOnwDUmJb0iU9WD6 -thSDA7pLQ+Mi2kk0EqAgmUBwwGdgcUZAG4leZ47E/SU5wEXSdYdek4gmDgr6 -MTmgleg9YdtKouzYyOiPc/D3a0RNdrXg98dN51oJcSD77N9C/WYSiavUpL0Q -5sDPSM0l6k0kWjXNW7NZlAOfqfJbSq9I1GiQ+7xkHgf+zhzbLvOSRHdbZTyX -LuBA0z7P3yKNJCo/uXX+RTEOvPyaDrPPSZS3VLyOsYgDx6tmsn4+I5F7Snpg -iDgHNuReTvzSQKKWwla1AQkOHL5qk/yunkRvtCt+OEpx4Giswa12RGI+mz95 -Lc2BRBcL+hmQKHJtRpKhLAfIBacWVT/F+elkHKxYzIH5Sc8979aR6MhyC0Pl -JRxof7ay/WYtiawqq5Qyl3LgyN2s3WlPSES1v10gupwDvZuXv094TKJrpvcF -I+U5sMP1XtTpGhKZjRn9+aHAgfhFO3SCqkmkU5w0dXgFBy6af6KOVOF6t6XM -8pU4oENG9Ds/wnxNsxDdrcyBvRri7/Y9JNHSsJfLn67C77+5+dm0kkQNjTM6 -6ms4cKdDQUCvgkQyVj8cC9ZyYOvO1A3qDzDeJvLOSKtyoEfuW7DyfRIlxovf -T1zHgQV71V/LlWO9+mjcP6OG7+ux01l4j0SfuVqKxzdw4DnLpYZZRiI9wy+H -e9U58E/ewGL6LubPpFOZnSYHVr+Z/PXjDommWZf/NWtxILDnbPmXEqxft1Ns -tm7iwITdh8iuYhL577esuK/NgXpt5iH2bVx/EU96pQ4H2mJ/OTQVYT05veJs -xhYOUGa3DsMtEt0v1x4X0ePAxljpsw8LSVQrIeEXqc+BldtNHt4pwPGZmpGx -rRyIvbj6b24+nhe9OtjTkAPDAcg6I49E3e8OCnYaceDT9zkNybkkqjtxJM3C -mAPdcn+3xd7EenVqy4Z6E4zPf2n8UzdI9BR1sLRMObCtkBMZeJ1EL5bvCLu9 -A+NneYWu9zUSrQs4u2bJTg4sObVOxC2HRDMJKR9SdnFApsngm202iSy3H8sh -zDkgvri/1yILzzNssVuoBQdGI5eMmmSS6INA9tqvezgQMu+DqF4GiY7f//bX -1ZIDVrw1WzXTSbTssBSH3of7Ofr7zNqrWK9/LKowteJAkK/ZO4U0EnE39GU8 -tuZAgZfEDtkrJPL7eyFWzZYDouP2jWKXcT/XzD+ZZ8eBL+sWOcxNxXhI9QyS -cuCAs4re7OxFEu0UywhOdMT8mMOunkwhkWFYfvg/Jw7IdtGxo8kkUihOSAp0 -wfW+0vb8coFEviG7c/tdORDQN+Pw4TyJiqsG6xzdOBC9X8Gdn0QibzOPnjZ3 -3O9110+1J2K9EQAR40McUEoPKH6ZgPleNalXdRjrSdmVIYjH89ohFqLiyQGN -NKZBdRyJauKFKm94ccDDt+FW+TkSxVj1Tol7c0Da8blCcSyJOqNyTeOP4nwi -55bnxpAobtAoa9oH3y+YtC/rLIlcPBt/BfhyoIJpxrx8hkTqb9bb9vnheh/q -tiVFk2hw9vRThwCsL1oHi2OiSHSyrXJd23EO0KVV6RGRJHolQedvC+KA+s7N -mSdOk+jtHb58VTC+T/1jqX8EicqONRaonODA64t3uEfCsT9vuLH+ZigHhi5f -FTt4ikQD7QfrJU5ywMzrmqtTGInOKC1yTAjDfNxcC9YnSbRjTtnUzCkOGG0a -1dzzH9aLfdo3AyMw/lM0nuwIJdHy92UWX05zwDrkjI3RCRLdjJJkOEdhfMu8 -Y+iGkMhE5ljdm2gOaJZsfqYVTCLb8IrI7Wdxv1zTr6oFkUj13LDZ4xjc3yM/ -w1cH4niBjOz6cxxQmDE7oXicROj7pu/5cVif9l05sySARE7krjaZBA4M5rBy -pfyx/67YX3EhkQO3JWfYYn7YH1ZZ3mCc54DKr0WyIr4k2jtkkhp6Aev98QXH -qWMk0tiufn44mQN6L7+9mz2K+7VQ6oL7RQ7Ybih1+ONNotE1v67wLmH+DJgO -/TpCIkWv1vzdlzHeVKovjHphPOffqEFXOLBGe8Z4yJNErVV+vI1XOZCyc9G8 -Pg/sl6e3/ClJ50Bh7s+BD4exn9LESvlMDhhHXuN3HiKRQVKLbVoWBxRXiHZw -D2L+xKSmCOdwgNOmO/LGnUTh6Q7tkdc4gJ6vlmh1w/O6riA1fh33z6zd4uUB -EpFBXw8dvckB02sqWQ2ueH8Yrar+kMuByblbpupc8DxH4iRs8jkgx5o4WuNM -ou1mzqHNBRxw0nMdrXTC/v92Y4/BLQ4YpB47V+6I94WTkvsfFmG8yy3bcNeB -RNXkdNPaYjxvef/hIns8T+shs5sluJ6vTk/y7fC+ZtzTJnmXA9qvPubcsMX9 -vtPjlFTKgYeCfy5m25Boj9fwqMA9HPfmp6dbk+i3JSPpRDkH8p92ll+2ItHf -bUrrhu9zoKEr633KfoxfaSueewXm06WPi8/vI9H74pRz/Eqsb6tv+8RbkugB -u1Pf4hEHksdH2mL2kojvv3G6oYoDXWZlJtF78Pv2N+s31+B8Q/paIywwn7yX -JJc9xvr+OsUrzBz3K7zEXakW629RsUTobswfn916WXWYPzbrOUG7MH4WCSwT -Aw5krV96K2AniR7ubmKeQxxYm+Sf6GtGIoGxoom/9Rz4DorRR3dg/HzMGTn+ -jANqypqJXqYkkv5x++uX57j/UtcKD28n0Y3Z1u8ujXh/GHZmu5tg/+sXmmG/ -5MB1AX/xA8Yk2hTtJrarCfv9vXYP521Yv0pYa1Ez9mPbU80ORhg/eq7mm1px -vyz9jOwMSfRVfE7I3de4/pmCZmsDnJ/w6wLFdg7kPZHz3L8V6/V0+buMNxxI -GGoTt9QnUf+zCtkFNAfqhh6zLfTwvqvHc41lcyBm6fvC3boY70ayd/5yOPCn -Vy1x5xbsJ2UR/47zOCBccC9qhw7ed1xJhwE+B/yeOiZs34z1S7XssWsHB8oz -VAuMtfH+/uvUCm4nB1QzFFhGm/A+dcnv8u73OP8Vm8QMN5Lo1odzwg1dHNh1 -09N9qxb2y5oX8Zs/cKA49N5zPU3s/39U5t/7yIHGhfO26GqQKCDycdbKTxwQ -fHuqXkcd80kxUC3nM+aT1m/HzRtIlICsmhb14XxSTzO115PIRsvNJ6Ef+4mL -yPONaiQacsiQEBjA+sfIvqy1Du+PojPPTwxyYPG3NSGaqrg/a1LCR4Y4cCCl -8oiGCt6fE/fqHh7mAMNG2099LYnk5hkIvhvB+19ZWeyGNVjvzru27RvFfJ8n -fW/9ahKt7y3Le/Ud8+XTsSG1VZg/3zecNhjDz2/c1VZTJtGc5D63Rz85QFTT -V9etxPenv961bhzz98a7OeuUsP8PDeoWTHBAv+VZouoKfP5BXS253xzouBe3 -XFWRRLzOBs3UKQ48ebaiUUWBRFc2RG8R+oufR1w5rSKP90ODULOoaQ78sOGZ -qSzH/we9hS6TMxyIe96npLKMRMy/88L8ZrF/bYNFKktJ1HGg/FqfABf0dx9Y -pLIE+9nohVfODC442TesUJEjUVps0R82wYWffb2mKotxf2ZnNHdTXDgR8OyU -iizelzanBjcwubAixLFBRQbPY75Hrc5cLkwfv7VYVZpEl11CRe4LcaGtLz9G -VQr/3wg2u68W4cI6y70C6yTxPvfWBW6IciFYvfDCOgkc12kqSc/nQqNwnqqa -OIkiLphfTF7ABSHXbV1qi/C+tbKYYC7kwkjpmRvrF5LI7tCu0xGLuDAUcSBo -gxiJHBXVBcbFuaCzn2uvvgDj18A14ZgkFzrvfdyrMR/3J4OW7ZXiQuaS0/aa -8/B+LJRy30mGC/+WlQRqieL5BlyxZMtywXWr+/WNIiS6evvzxC45Lrxm3Hy3 -SZhERhcjChqWcGH1+MG1m4Ww/5CHHLYs48K8G7cSdeZi/PZckXywnAs9iV7T -W+aQaAUl0bFGgQvNxnmRekys1+Y9+bmKXKiysZLYSuH94spMiKwSF6wtQh8b -kCTqe+y999JKLohXCwcaEVhvcpQ3CK3igoqSsK4xA/NZaqNM9GouXJIPlNwu -iP8PmVfnTK3hAqFvILhDAM9r165/ASpcmBHy+2c2S6AFsH96QJULT2X+iu7+ -R6DXRuWC7mpc2P73k6rFDIHsyg/N71jPBRsTRde90wTSGPBV3KfOhcC4hzf3 -/SXQ78Z2/SYNXI995i+rPwQyXJvoZqTFhRKLZgfbKQJVjV5LrNnIhZS/Jm/s -fxOIGhepVdfmgtwUZe80SaARae6v4s1cuNwl9MNlgkDrN/3RUtzChVlDi2y3 -cQLlrAsPz9LlwqraVttDvwhEvHdqWaTPhYsDMSs8fxJo7/IshaStXIh0CxT0 -HiOQO1c7kjDkwtTTS999fhBoy/uNvaeMuPD8xofvft8J1LYwzfLXNi6437Bn -BI4SaLW17fNjJrifTlNKId8I5BAdZtC3nQu8gKf2/40QKCqU0eCygwsekQXX -Tg0TqF5idDfPjAuGyrd/nv5KIHNto649u7iQTTU6nhkikHXdVMjL3Vysd3/o -2EECycfKShlacMFnbJtzwgCBGL65ddV7MP6NsyfOfyGQqVXqMXVLLtjaCuRd -7CeQrdSIYsk+Lji89nO90kegq1cefFS04sJdi88qGb0ECr/7uTDbmgsV4Y7C -OZ8JFK8XHShhy4VYAdbUjU8E0l1x3vSCHRf+Rhr/ye8hkJoBpch04EJRXpnI -7Y8EmvYbISMducAXW6B29wOBtl/aPjrpxIUrQe7u5d0EehozvyfAhQs3gvMK -K7sIJLd6Z+egKxf+e9r2p/o9gRQdJzoPuuF8pz+51b0jUO6U1Od37hjvne/4 -9Z0ECui7M2Z9CPeDfHSgsYNA3tMPhdoOc2HRGr/fzW9xP5duWr3Dkwul4wJ5 -7XwCFa1atwd5cWGbrI8zh0eg7qnsUzreXDhgXLyqg0ugNUFnyx8c5cIepWqi -m4PvC+wdVjnGhQW+V75/YhPIjQ8bCn254Ni+5dsXmkDno6TCl/nj/GeKpodZ -BHKyGGxLD+DC3Dtv5cbeEOjfEp01CwO5EJLUtHuynUAv25hJiUFcOGUVen66 -jUCzRla/iBA8r+ruLkEcz9gs94g4wQWzgGmDOa8JtG7Ip2silAut6q8fiLYS -6EeXjkvASS74VlpsWtSCzxNL7B0M48Le8rBm6WbMl4MuQYfCMX+7Lf2XNhGo -7n6lUFcE1oPfrUorXhFoqvtikW0kF15UfR1a/ZJAiU1j5m+iuBD2trherRH3 -f9+7qZ1nuPBBkizWekGggza7y56dxf1Rnby55TmBZB4ZH9WP5YJ0R2Sx4TMC -zbN6sa7qHBfedmQ1mDYQSFSU9XtDPJ7PiMmweT2BJpBXS0kCF4zpMGUrRKDq -fYmFSkkY/zt1jjsAgTZd14m7fh7je1FE64GnBAo7dyJAJhnzdXTbZs86AsUM -GbmnpnDhTm5c5bFanE9JjoPoJTzP4R1GQU9wvbfiHM6lYv25HNV98jGBJJ8S -7gJXcL8d1c5H1RBIn14YEJaG9Z25Z1dcNYH6Gx6c+3UV+4vze5nkKgLtC/hS -4JfBhS5F3uSVRwR69bi8eSAT+4v85i/ZDzFeziz4fTCbC8uWzfbnVRJo/21y -XVcO1ptPqyaLKwi0WfSSt911LiRp35O+/wDPI/lhKesGF0L7L5lV3yfQObGg -qd25XHhZ05oA5QQiA5vNG/O4kBzu/K7xHoHYl2uLDAu4EP9HX7+tjEBptruE -nxRyQUnA7x63lEC/soKDNxZxIdpxUL3rLs7HSK//3m0u+PPvPu+9QyA/lbwD -a0u44LX9oddwCYHEdIo+FtzhwrWg2cW/ignksdvce3kpFwbU47v/3sb6ZZw6 -lVnGBY6l+QMCx5WCYZckyrmQlWt2VaSIQGe8SPWU+9g/J04mit8iUIONxluh -Ci6QCl3JcoUECi0l42IqcT7jfvkrCgj0YG+4/uxDLlzYofpKJR/r59Ksvyer -sP59XTijmUcgy9+u9b+qsT9XLdmml0ugufUtyf6PuZATtTPd5CbWV4eeQ0NP -uNC9NG3a/AaBzubeNPSo40Ki5/Rxm+sE6jolvPLjU6wnGuGTLtcIFNS0fKET -wu87LrzgmUOgPJ8eklfPhYTqag3/bDxfY0uBfc8wPlb6D4RmEeixpi/R+pwL -E+HqZVGZmM9LdObvaMT4z5w+m5CB8fOxUr7hJRfk7V97p6YTSNCtZ4t+Exce -Xrl5IPsq5k8EOFc34/6pBnkUpGH8y1me02zlQu0/o1OlVwjUJHulquw1F/oH -hHIfXSZQttP572vauVDf/JIHqQRybdBRL3zDBbuY/5Y0XSLQ8PprJ+VpLthP -yATSFzH+z1U1ZbO5sIRxi/8uhUDLihIUpLkYXwlLLPqSCVQWLBGdysP1+J+k -v10g0Oc39gPz3uL+p9d4/T5PIO41O7uEDi4o9HWIMnCcW7ewjXzHhU36/HqR -JAJ5Loo3j3rPBbHYsnOSiVi/Tj+h/3Zhfc9zdlqeQKAXn++6hX7A94V3G6yJ -J9AHJZeJsY9csPyzQUszDuvXiteX/T5xIY3Yt1n/HIFin81sHvqMz4vWNd8R -SyBO32ifRx/eV5xG/PfFYD/0Lcjq6efCztOH8p3OYrzqLbFzGcD50ln9HmcI -tGGTvVzHIBe4xhd1AqIJlKrn8MX6KxeUnxrmhEVhvGrIP3kzzIXJdcXzYyOx -P/0pvWr+DetdVOPFlNMEEg8lwl6NYj/IT1PMisD9TVLwMPnBhbWx4s8LwrHf -LRayR2M4Hwn9kHun8H5BPdmv94sLV7ct2PQ4jEC31DfbVI9zwerfOeaLk5g/ -UdEHtCa5YKCT29/+H4GWc9OPl//mgnCfI68zlEBPFoUnqf7B+P9Vzu07QSDj -JetLb//F+4HDzd7vIQTic+7zlGa4MH+uMjEdTKCLy6m5uf9w/r+2qs/BceaH -NUZLBXjQLDHgtyiIQOq/5c9kCvJAyGVZ7dJAAl02/9osSfDg87NumTXHCSSE -EuRSSR6sNFSO1QrAeNk4EzSfyQPDph8Chv54vpdMOYlzeLDTbuv53X64f488 -9eYI8WD809xVdr4E0ol3vXtWmAc3PfawDh4jkOyQmpKAKA+2d4gk+fkQqBbe -5ofP48GZzVutw47i+Q87q0zN50H66U+q57wJxLKufRwixgPPonGJ1CMESn43 -uW9sIQ+C7wWLXvfC3x8W++EnjvO97Cxe4kmgJRxmxlcJHkTsL1nzyAP77bz3 -pkekeFA06Li34TA+/9fFmV5pfJ69T0zbIax3vsq17rI88Ln+9lXnQcwX52tn -uhfzYPLJjSVf3AkkXThh6bSEB1P36yJ/umH9UNFc9XYpD/5Erx+bPYDxxbai -bJbzQF5tLEgUx87RDl9Z8jzQrmFQsq5Yn2S3d+xR5EGJsmvhSheM50jp9pYV -PIgME7TRcMZ8yWC1mq3kgXPNoLiBE8aDWTD9QpkHSQPin3Y74jhI4OO21TwY -nRcB9g4EMvh3YhzW8GDBBsW7HvYY761vF+mr8EDEVuB2oB2Bep8pb36syoOC -OImKSFsCfX3p7qGtxgOd106vz9sQKLIuMatyPQ8a17MnMq0JtDEhj6+uzoOB -6tD1RVYEerigZMk9DR5wA01DK/cT6N7GPG9VLR4cPKLXVr8P5/8h6WnxRh4Q -hbZa7ZZYP396ya3S5sFLrdTi93uxn1hrRxVs5oGj0vC6oT0EuvPlz7DCFh4w -o93rJy0I1Jda4X5Dlwfl9qOHKByXbDnYvUSfBx01qZLi5ng/ezbnUNZWHlyv -MOPJ78b3iReOShvyoNZm/i21XQTyXaAbk2bEg7jyjzF6O7HeZTfLixvz4Bun -NnCXGYEUrlu/uGjCg2jODX/7Hfj8vx3H55vywKP+3ClPUwLdzXRSPr+DB05l -fleDt+N9zaXzk9BOHrwos0ZnTDC/Ve2K4nZh/PE2Tl00xvvuVzqIMsd42bLA -6MY2vI9F7zE7a4HnNdqVXmqE93m6WUlwL8azyI2ZJ4YE6nlmJhRpyYPTBXsD -mw0wXvSaxqf34X7Rw+NvtxJoVN5iKMwKn3cnKP6LPoGO2XH7f1vzgGfWs2ZC -j0CnXxz8esKWB3LPNDpJHH+2nJj8ZceDNE2PTHFdrA8fLooGOfBAtzLES3EL -gX7aaq754ciD3APuJuo6GH/Xui38nXkwYrlyg+FmvD9nXA4bceFBf/7TtXu1 -sR+qWd3zOcCD3uC1Wq6bCPTf9mXDg264/x89zH034v352fiGIwd5sI/yCwrX -IhAzuTOi/xAP/AQMi5M08XySXtOHPXjw5fvbkSwN/L+Q377+sycPFk5sNCpR -x/r3uOeK+xEevFlvnV+zAfezimR89ObBracbJJrWE+halE6oqw+On726/FYN -68101K/3xzBf3WQVB9ZhfV74/qSTH76vajlMquLzb+2e0+nPA+uvb4/OwfG6 -3Dc59sd5kLV820ppFby/Dfhs4Qdi/fnP/pvyWgKlH1r20SYY81VWtnHTGgIF -/x64wAnhwfs10XdNV/+/nlZjq1AePHx9Idd2Ff7/E2kWpP/jQY+KXqGnMt6X -bT+9tAzD9fskVJ1YifXCVupq+ykexFcEvj2nhP3ip+exPRFYz1TH56SvwPv2 -Iu6u16d5sGN2nmmRIoHeZrurm0fx4Kn149QqBaxHJ+bJt0Tz4IPt5MhLefw/ -EN8htessDyQ2NNi9XY73g5pGyaYYHtiLyLwZWEag+z+4S8zO8cBYYsJ2ainO -T3qu6ss4Hvw64TAshGO9ha7Gpgk8WOtmcHHxEvz/8/LtwReJPFg/U7BNRQ7v -gwonE03O8+DTqThCbzGeF2X4+NkFXK9wL20ui/9XndXGtqXwoOxtVbmLDObP -vO0aDRd5cFhS4JqfNIHGZ2PCjFJ5MPu9Jj1SikBScqPN6DIPtuZ8unlREvuX -acwKwzQ8H7PQ6lwJ3J+j22PgKg98V4V0PxDH+4mf5sjWDB6U+nQser6IQCFb -9ro+zeSBllmuDXchgRofZvL1s3lw6XvTrX4xnP8rcYe6HKxvGZbM3wsIdNvx -6Se96/j+EI1gIRzLWmcF197gwfy6Y98Xz8d6kHN7vl4ufj9/Okx1Hubf0qHy -J3k8mOf+QXyrKP6+9oCTbgEP3FQWPdkrgv3qkPD8J4U8CNqSGuAujPXp79Cr -LUU8cGl01goSIpDqUcb5x7exfs3xZ8bOxXqXuc9uSwkPhrQb+6/OIdCn4x1r -H9/hwcWLB7i3mQRa+S6LuaUU6635ZvoxRaDBuqtDNWUYf4UWXa0k1htGG0+n -HOsVP2eimyDQ0CWjlpr7PDiyfMWyHwzsh9ZjL3Uq8Hyqu6wIHOtp9LTWVPLA -rKcpXVKQQBkSCzp1HvHAktc7uEoA47U3fLSmigebeCq7tswy0M4ElXlbarBe -Lc+pNv/HQBtG5DQfP+aBw5jGxgMzDHTp9x73LbU8eHdhBI5PM5DTlRfpj+sw -HjWa7GP+MlBEcRRvC/BgruKz2at/GOiXfPTSJwjff+1tZfEUA9GfXx7TbeBB -dj/zv9rfDLTqnc3zJ8/wPA1372yfZKDl31WU9F7woPJb3upPEwzUJ7L7fG0j -D05oiUiNjzNQjXTltN4rHujbRi+ci+MP014hdU3/ny9DTu4XA5UXeE3ot2B9 -MjqvofaTgZJ/V0Q+beWBWrqcvdEYA33qsVho0Ibx8qE0yfoHA6ns2nQH2nkg -7G742us7A31Z7GdhyOKB6eE3S06N4vP0JyYRjfGh7hSW/A3nm9NeYsTBsVh3 -X+4IA31b/tejgYv3i122Bx4OM9DzByfXGPN5oLK2vv/VVwby2Go+/uwtD2yn -5MLfDzFQ0d2gJpNOrAeMw8u/DzKQ95fvhS/e8WBd6tU3BI7Pv32eaNrFg9U/ -y1OkBxho7tHvoS+7ebArsNxZ5QsDdcUG+5p95EGGc6q2QT8DyUvt92nq4UHm -rJW8VR8DfSYTj+/6jPlWPCbl1cvA/rA0qqUXP7/tI3fqMwNl3xJNN+/H+DSv -XZfyiYFm1zk8ev0Fv9/bY5Hfw0BttUT3nkGsv6jjVNVHBnLVnzf/zRDeLzRy -q1o+MNCirBOm+4axXiRuFPzYzUBudYZx9Aj2B7kr9r+6cP2Xjr2xGuXBHO3H -dXNxjAT/KnC/435tKNyw9D3Gw+TwKdsxHig67r+v/o6BqAPG3fyfeJ8RAgPT -TgbKUZg1cxjnQdOlgXeOHQwUvlahtnMC66tZa6z/WwbyPFyi7fybB//OeunH -8Blo0+PsJ11TPDDIrGJk8hioRWpix4G/2L8+1HBLuQwk6fH4/cdpHoiV+jxq -4DCQ2MXBkwf/8cDbsbmAz2YgOBOzvHeWB8cN2DeHaQbSW33+tYcgH7orz5YI -4viWj2DMFwYfvol31EuxGGjt5r5t3iQfDjx606/yhoEETm4W/krx4eSEl6xR -OwMFyk53HJvDB+H1OQ62bRjvpPqDb3P54PXkaJHPawaKUX6bGiDMB4/JN4zo -VgYa9R47NSbCh8MGrT5XWxjowuMo3+B5fDD77vDpTjMDDRIxXhPz+XDKK9Sz -vgnzT33G+z8xPgwwFH/zXjHQmvUjwX8W8oGhYJc+/JKBHAas48PF+fBMXsKE -geNOs40F/yT4UOBu+0+6kYFC9FJeRUnx4ZaxXOO6Fwz0p+zQOEOGD3tWuWUb -P2eg3ecr1sbK8iHfV/G0wzMG2o8ij8yR44P2fwf8/BsYiNRuKktYwgfxYolj -sfUM5Pv+4ozIMj60HTQIzUYMlJXDt05ezoczc7tS7gMDlR26XimmwIeXM0MP -Xz5lIP7S/iWXFfnw9JbnYFcdA5lW3bsgqcQH6ojF2l+1DGS2ZJqZsZIP6FbO -f8I4VtZpjV+8ig/Zr/Zx5J8wkPkfefFrq/nwWPOovvZjrBfmfwuXr+VD657P -FRY1DOwnzkZ5KnyYjXqsfbiagaqtTPqU1uH+aIy8CqvC+PpUealIjQ9Czf95 -XXqE8V1ZZrp2Ax9e3XcUv/2QgUoeapCl6nwI3X+x9WklxgPbqHm9Jh9eS0pf -5lbgfk69z3igxQfCc9hz+AED2UtRARs38YFVOs+MwHGa5JO91dr4e/v/Ni2+ -z0BhvbPaujp8KGet0VAvx3gP4Kx+uoUPT2KX65rdYyDDQh1FIz0+WPfY7jtQ -xkAGxzcoPdfHz/e9Dj5Riuurr1HbYYC/N4kqvHCXgeaf4Rk1G/IhaLXv54I7 -eF65cS4W2/jw3OeSWm0JAy0VbYt+Y8yHzxFD59jFDNRxr6TMajsfzreFDA/d -xvpxclkvz5QPzLYNBxg4zrNbq+hohvsxIvNBtoiBrm9qP9K1kw9vc1SOqd/C -+k7Or3bbzYf1ez2ZOwvxvMu+LOg158POE42lbgUMdErRJcBrDx/6YnYe/C8f -83GPf8fQXj4YfBtecTEPf798+W6/fXyYr1w2VpTLQFVnfV/82M+HpJuJbXCT -gRS9ncxCrPngQ0dW8W8w0Mm6QfZvG3zehqTS0esM9MRP9ki4HR/uqJeUz8Fx -z9GvpIAD5uOuTrT8GgP9vuFWctYR8/GnTLd2DgMtnj5pP8eZD6vyDs21zGYg -f9/NC5Jc+DDWVmVwJIuBVD/ltM0/gPnzY1FMVCYDpZjdvprqxod7ZwO5GRmY -j8lOXlIH+eA9w9a8n477kV9lmHWIDw/eat1ouspAoiF1iss8+FCckir9KY2B -7v7wnZfnyYf+nKGcP1cwP+Y2Cygf4UPkqS3rxXF88xY9XezNhzlFkW0ql7F/ -1MYLqvnwIS67KswklYH0tUfmPzjGhxTuB02XSwxUwBRcucmPDyvp8amQi7ge -2RfGj/350DR/sjU5BdfjssVn63GsN0I9d4uSGSi1wT27IRDnZ3g/E11gIC9t -PY5pMB88NT0ud5xnoJGSZsmWEKxH7n8yx5Lw/aLz3faGYn7u9CsVwbHGrjkV -7P/4sNX36WulRAZSt66abx/Gh8UWA3/0EzD/ZZcHvT/Fh5Cjg1p28Zi/8QYf -3SJwf3fAqYA4BhJOlbXtO82HKA+v9oRzDGSsVMbxjuKDhdmH9fmx+H61f07f -ovnAC1S6VhuD55srPBx4FsdHtKR5Z3G+PpyYyRg+XCoTvT56Bu8f4c7K4ef4 -8PBViboQjuue5b8RiMf364nSitHYL9XvnI1NwPhPUYvUi2KgOQ+DDIST+MDZ -sUDHNhLjbes/IuU8H7SG78z6n8Z8qtvNEk/mQy7BYCdEMNBZBZeijBQ+lEku -qMgPx/7ppHlu6SU+uJa8uVF3CvuDY7tvXirG+y6TTH4YA7nM13BddQX347TX -jR8nGUj2iLPd3TSM33btByI49rbb66Cezgf/Vw9YK/9joOhWkcOPMvig/JM7 -YxCK51+VGqqbxYfozuubHE8w0Dyhvssomw8dQiLhwSF4HveJmu3XMD5FZdqS -gxnI6uZof/N1PogGPFMtDmIgkZfFSy1vYj8C4YxngQzULqnpws3lQ0bC1wXd -xxlIM+J8oWM+Hz46HrryOwA/H3k08aEA96Pef6U4jm3tKyw9/kdxdcdj/X3x -z+dJZpQiRSWrhKymUUJFIWmgSFGkrKZSNESUbCGUr4YkQgpZ5xoJTSqeHWUU -FYVCPM/v/P58vz7j3nvOe5ybjXq3k6lbGoB+lB9a3He/HcKiTP2s/bF+fA3l -Iw/QP6eNqu33Y5AP7JuJI7ntwN23tjfEl0FqkvpnnM1rh4VzpEtTfTAvJ6an -UI8wj+rcE4sP43pTpi26XID5MWwU/OYQ5klaR5VUUTt4myYe/ebNILuLY9zi -H7eDrK7PcRHEs9cqiCs8QT24wkXlgwzirXO2PONpO4Tsis4w9sL8C6g4qVra -DvPLW+t2euJ+RplGOWXtIDIz+u+RA5jHzz6I6pa3Q8PIs1XX9iN/7hRwiyva -wW/cMey+B4Mk3z9cYVSF/vvUnVfrziBPS0XvQDXWo7Ldgr8P55XnYYkbSDsM -Zpc8GdvLIMa13dde1mA+Sk4YyiMeytSKdahrB8vz96r03Rhk89Ydae317ZCU -UbjDdg/q//n+R3sa2qF5XHH0oCvyYXDXyy8v2iHN8PP9Sy6YB3Wrfh1qagcV -3pQDmbtxXtUXKA82t8NYYohOxS70a61HToGv2mHJL1u63ZlBFty2Tp143Q5L -YwM+/3ZiEPurbzpD37bDX/Evb2UQz/i4brlESzt8H7vbpOXIIFkn/ouNbW2H -zsnHbzfuZJD1Lj+H5D+0g1qR5GePHVjvs9ruGR/bwb/wAXV+O4NYvXBuV21v -h6HUaO30bQwSanDK8QET80b8iUepA4NcyYvg67Hb4X6GYvb7reh/WlEBJRzU -23D1yIA96j8zVGIND/P20S2HaYjdJ/zz6vjIj8OlzzS3MEjbcgfnzR3tUNMo -qrvBDvPAREu6pbMdyryvPnK3ZRD1Kf+anb60w6V+M5NzNliPc/Xx/K52cPqt -/iFtM/pxVoS7Zw/qYcGqoNJNDHJuzwbj771Yv1kntD5YI/+yBUrHv7XDs6Os -3kEr1MORJ6LjfVhv3oEiacSxeQfHL3xvB/3xWRFaGxkk3H7uX7Gf7eDo0+Vt -tQH7a9s8ETPQDi4f3zseWM8gf66flZr9qx3GuZ+2XrTE+WmhrtrN3ziPLRZ1 -umWB8wj/s6X6cDsY7V5/qMKcQZrq0vwejrRDuFJqBHMdg1jUO/5n+BfnBVlh -0YgZg9i9V+A+G8X6fgn8OhNxUhd/ofk4/s9oUkt/Lfplf55/4792GHgWG2S3 -BjE39Ln9JM4T0jofDpsyiP9Dd412AeY7761xpAn6h83mGDeKCU9bT+ffM2aQ -icI1VA/NBN9kdZ06IwbpeWt61m8KE961vivpWI3rZ1gLh0WYsMXwrJ1gFc77 -kh7XgkWZAHtVBpUQy8lcVRURZ8IR0ZpbRisZhJteUxMlwYQ5rU67nFbgfee+ -xOFZUkz45P9F+eRyBklZtF8pfRoTdl1x/52wDOexaW8/qsowcX54+67QEPPH -bsuN3OlM6OvXrnhjwCBx/E5PQ1kmbI89XvRdn0FMnlw1KZ+J/z94t1gSsVTd -JkULOSb8Vqms0dRjkBKhMqNZngnTA8o4G3Xx/uQmM+SgwIQpgmTacyny56P8 -D9YcJjDP7Vx2SQf923nVoLsiEwRZv45kaeN8wz0+8U2JCTvnHCoHLfQvx1ey -x+YzYWnis+n8JZi/Feb64wuYsLa+48iEJvKP+ugUupAJBXu4PEXEEYoRkZKq -TJg7M9fRaDGD7Bc61yaoMeFkkhXHaRGDfL9jM1VJgwlGqY99AjUY5MTkXoc7 -i5iwuuWr2HV19Gc6JVtbkwlVQ70FxWoM8vvuL5EnS5hw9kn+/lZVBnnNO+Jr -qs2Eq42r1H6p4H0lS55Xr8OEkO5LP6cjdujucLTTZcLGmtjnugsZZHXme9ZH -PSZYzdyVY6eM96X6n55uBkywj+Ul+y5Avdgs+9djyITkAcX4qPkM0rfk9o2A -5Uyo65NJyZ2H+b3T1Hx0BRN6V5fmNCnhfamO8fvCKiacSZBt+KrIIA2H/zyU -MGKCR6HSgBhiBfM5AQnGTPhl815t8VzUv+khEyVT/H7BygMb52B+b++bcXcN -Ew58MS/0VMB+nM0Y0DHD+m8fFgufzSDHH15of7qOCY+0bXzuyjPIBVZK41oL -JnA01rPr5BiEMfG59oUl9kfA3fFlFoMckdjfsHUDExyPzuIwEFuMznnP2siE -MJNuX9WZDCIBU795WDOhf+5WSQtZBvHYoSX+fRPyodmh2H0Gg4w8itA/acOE -QomvBy9OR30/X+AhsGWCccoMzSwZBnkXM5gRsYUJTgZNQ0Qa50ta0DFjKxM0 -Uqa/7JjGIEry1rppDkzQiuzMpxD/hbdhatuZsKPeNGOhFINsGLvelbeDCfQ0 -5eR1knjfKEu3W+nIhAHly+n7JBikaKgTwIkJ1jUBeRfE0e/vHDLZtIsJt4tY -jf+JMcidqmWkdTcTRh7XDBJRvP8Ym29xdWVCToSGeudUBnGVTezu3sOE8N+M -/TRiRyOtywF7mUBKnPJVRFDfD8T0x/YxYTRFZYrFFAbp2q3zJdQD+bzb7YAH -g0FuWt7InHaACW9rpFpCabx/uNh7JnsinxMXb7pDob+n2y9feJAJktcLXtUJ -afJoLG1arjcTLkZluXQJaNLtb/hz2WEmKK/5NyKC+O3v2awqH6zXkfJ0jUma -eIRsem3lx4SJfq7txgmapIu+bG7xRz2f2idx8B9Noi5ntLgcYQLFtmiJGKeJ -y0h1Z/dRJshwL97NGaPJUuRnwHE8/walS02jNLG8MD5//AQTojqm+fX9pcnA -NfnNYYFMkDu5w0MK8ZVD4edlTjNh1esBD50/NDkvY1OdGoTrP+b6243QZOOJ -g6JqZ5FPg3Mu+w/TxC+R45QfjHxzuJ0TO0STyAM5j1edY0LRf4Fthb9pYt7x -ZnbtefSnB4nTW3/RxEFoH2Z7kQkbVv/dPjRIk8BynX9toUxwmJt5Rw5xjKTX -Wfcw5N/cK4IVAzQ5/XVC5Hs4+pVo8QGnnzRZYvc7JTAC18tTbDv9gyZZBlbL -6StMsOFUbUv7TpM/MROsqKvoj/vS2BX9NNngNuvK7GtMuC/5yI/XRxNIvWae -Fc2EQw/+SAm/0SRz1aEpOrF43mnHni5EvG557puSOPS/KQsOW3ylyWDE1jvm -CVhvt9ElB3ppslhnz8VXiUxo/CkYDu+hyT7FFm+n60xIDdd7eb+bJmq2+bs+ -J6M/DEfkNXXRRKLi93a/VCZ8niZ6o/8Lrr/vttPoDdxP1v04acTClVUHLqUz -wTn8cKLeZ5rEr1p/VuYmE2SjbLMcOmmyxXV1+o1bqIfLNuXHO2gyNzOtXv0/ -JojYePKvf6LJjzGfvwVZmD/5KdJlfOSPV/4ykztMWB7aYcXm0YT5aW9Qw118 -fmtN9AQX97c3rNEhG/nensdbgPgHX0mFdx/PN0XHyJxDk+O7Fl/yfsAE6dGy -zP1smkxvuv9zKBfz65qD7GUWTeZo3tp/Po8JM1KGonOYNJlxVOqz5CMmFA9k -yL9sp4nvrcFDyQWoFz+bnB9tNKnN3fJPpYgJjL6JDTMQ58UtSs5/jPw2Lfhp -+JEm/M1BxkZPMN/W7Lu98wOe74PV1/qnTOh+Ie1++j32e3Fi5tZSJsx88lQr -vZUm39e67uOWYV5ydwqrWmhiO/uulnc5EwKVvvM73mG9cnwEQxXoDzaBTVMQ -/xko5pyvwn5u+l296C1NDn8NqZUCJnj93AOb3tCk6Vrz4xSC/qZQ2uz7miZO -zLQ8tVomDGb964h9RRO3hoGCgjomGB5awih+SZPV25orTZ4zoXbzWt22Zpps -PqX9/kUDExTVV3uONdFktoHc0PZG3O97ufvzECufDZ/X0cSEnhWtQ2aNNJnc -esHe9yUTdLT9bfa/oMneR1Ovjb5iQmd8T/7lBpr8jZndGvaGCXs2GSnlPqdJ -9M9iFdl3iA0OJL6up8lYI//MzRYmjC/xnP2rjiaaiqm8Je9RD7OM78ohFud3 -bCr5gP7+tsN0dS1N7s0oB4s2JmiudepwqaGJ/CN1s7ft6G/m6THnCU2CHqs0 -urBQX5W5VneAJtMUH+/+ymZCZOwlqRfVNJHpbPtzgsuEF7fU2H1VNGmfEp9B -85nw/VVksQzilnOdNjGfmOA/WZhiWEkT7y1NIkqdTFCTS7vsWEET9YBNL+5/ -ZsK6EfMLZ8ppcoPnkbi8C/MmPDvs1jOaBCTPPlTTjfjB88TaMppsS/a03tLL -hISNN/N7Smkixd5qwPnKhGcW2q2SiH3cWGrefUxou+RH65XQxHEhtXCkH/Uz -6G6y/SlN6uY1aIT+QH0EiF449YQmRVt1VkwfYMLUXue36cU00X+2bEvGINbb -zGkJeUyTg9t5R5b8ZkKQuzC6qwj9a57WzZIh5Mty+0lxxG2ySu8tR3Ae+G/9 -qaWFWE/9opktf5igEMv751CA6wf+cHEbZQLrm0JU4COa7Op496h/DP0o7Zd6 -ej5NDH1dpYL+4fxx1bsJ8mhyVCH+qOgkE3h3z5zuekiTmk8BnYkCJlh+0DCU -QPyydmy3CsWCj1O8/yzNpcnOaj3+I5oF85XNnm97QBPtdzN9TKewgJr54Nap -HJqY/blDN4uwcL6/E5pxnyZHdLuynERZINRberQmG/0g8INNtxgLipdbHu65 -h/15fVJ4TIIFK+u/+EkhdtVvqqSkWGD2alqw/l2afLn59lLMNBYwjSuTdt6h -ibHc1R3zZFhwVDBQeuY2TZ7Gj+nmTmdBy9Ts7swsmlTIKc9aLYv7W8ed//w/ -mlSm/6MaZrLgfUbcvr5MmphqxI1ul2PBK6ma/OmIGwt4Y53yLNgQ4jN1xS3k -m3G3yBEFFrzsjD64+yZNimvvzxXMYcFWrUUfzmfQ5Jr1otXXFFmgYG1ocy8d -99vsvk9xHguadApfNachn61cEnLms8Cz+abz4A3sT9WsNyuVWWA5a+ynPOLp -S6/Ner6QBXPGIdYkFfWf9NxjuyoL/hwdNHZPQX/8TSo61XA//pGDl5Npkmh1 -fsERDdzP5/DCvOs04cXTUYJFLMip6znTmkQT6RZrOlqTBY5TH9iPJtLkoojj -RSUtfJ7RrLsAcbm2llSuNgvenNs0Z30Cnn9jw63VS1lgm6U27XA8TTK2a5u+ -0GWB1LijZFwcTS5s3/1lpz7u93znzJJYzKMNO5K6DFgQtbhGgxtDk+dLFO2P -L2PBh29DFoz/Y2HeLMYKFuyvOnVYMxrr80L6c9xKFny+sTljyzXU68U15cqr -WWB16jDzRBTyUWdNxiMjFvTbfVyQfpUmoU3SkWtMWBA8+0pAzRXsp3NhyCtT -FjCaLzX3RuK8wNYIcVnLAr57nZ4M4hVbAi73mbHgRfuGzOURqOen0TeCzJGf -GhJzXS6jfqeHlohbsuDIRqmbF8NpcnmPHS9lPQtcl2/WzgmjiSBzUHrxRhaU -9tXVvblEkxPtvtYlViwYORDoNRJKkwSRumsbNrHgy629s+aF/j9fhtkfNrMg -Nymk2eIiTT5Y0MsO2CK/Ld5EHbpAk7s7+5OG7FgwJdveKe48TU66F1OX7FmQ -WSHUKT2H88XB3YEzHVgw+yJ3Gj8E89y7cyRrGwush7/8EUHs6bnpvMEOFvjM -kuvXDqbJ0N7EmTU7sR+8w9+2nUV/2EUKtjqxQGJrz6+gMzTZv63FscOZBfd9 -wkSygmjyz/aF2JHdLDiuZ6nSeJom/pvv1ApdWLArfaH1wCmarLL1iojdw4KU -AsWg2YgHtss6Ku9lQbOv3pM1gajX/fd0C/axoOO969iBkzT5dFZN1syDBfN6 -/rO+doImsZnXJt/sR3xvLKv4OE1033UOuXmyoH2m51TOMTz/dPXhn14sSDDo -PMZA/G3vDsE5bxYMTvHtW3KUJqJ1x2dOP8yCr9em+DocoYmiySX9TB8W1L29 -9/d0AOZV8yVnPT8W6LzbGv2fP/L/WOBV8GeBXAJjaaMfTWatcm2wP4L8nfus -bcAX/XjuymkdR1lA+x67qoBYZt5U1yPHWXAnWsfazIcm1ebNT6mTLJAM655+ -8DDW89rlufGB6B870jtjDuH3lEmEymkWTBO1rSrxpsnVW18FRUHY/5sjt/kH -abLncNwFi7MsMFVLThBFfNdr2bT3wSxgZ2hf0/XCeTW5NWv/ORaozHwS6+iJ -89eEv/nweRY8u7r05rkDOB+nS/SHXWRBmkzyk+z9OE8F3rklfwn7n93/8Y0H -TZYlrHHNDmPBu1069F939M9Bptqqy1gPQ8eVyohNkwJHXkSwYI3xwZNW+2hS -clGhxfkKCz4F7akO2Iv+VFlZ8u0qC27/Wymb6kaTZxsPZp+5hv9r+uVH9tBk -k8ac/6RiWCA+EPXhqyvux+XdnYxYFqwLnLJBFnHe97iipfEsqDzsCEYuNOnh -7m6qTmCBEjPU0mM3TXr19Prtk1hg13y55eoumiR9k1HovM6CeLt9h4qdacKS -/md7LIUFl/ylpbhOmBf/DV+bcoMF0sbXSkQQ782eaEtKY8GhKrbPUkeasFXl -tBdlsEBX9K+W407Up6LpldKbeD7VT0PndtDEPf7kL+tM9G/l+Ib722kiea1m -P/s/FpyUlrrzbhvmu4xKh89tFoiMb74y5kAT6wXXvSbvsODJ8JYgVcS91Qv+ -xtzD80rLH7fZinobqY5feB/5uS098IQ91rMhcOXjHBZsavt06eYWXG+lVbdl -Lgu49zvSGuxokrbZ4NbHhyxwZ6ZXDNjSpEFspfvBfBb8PT29Z47t//noqDv2 -iAWy6UaKFjZ4/rjEqVGFLDi9dY6zz2aadHj97Jn3mAXmDx9kJm2iidz4wdZH -xciXqv7BKmuaFNrTjeueskCQxrXptaLJhG/Fi9YSFpTtPFM4A7GjU0rLgTIW -+NN1C4w3or7kkrv/PMN8KnqSvH8Dvp9TNuVKBQs4Z+zmRK/H95UoHaUqFnw/ -EnWnxJImnCN+bvnV6Ac5vqs7LGhiVECnmxGs16qBNgnEa7lVnS016PcGsueX -mdPkyeRtwwN1mD/57/T3rMP5Yu7j6D/1mB9E+/tlM8y7Fd9/RzawwOLiwqLC -tZi3zts8lBqxn6L559lraGIS0c3Jb2LBQ6+3TiKIOxuz9657yYLlz8KNdE1p -ckgt5UfrKxaEy79RdzahierN0nDPN+jHidlzQ40x700lNEffskDeRnpOnhFN -SsWiP1xtYUHvDmph22rU49T1UfPfs+BeU4gBhTjQVM+28AMLPGov2WqtQr0V -2ytYtrHggvOMoztWYr+PZH//2I58uKeSeW4F5v+Z5a+8WSyYqHvalrMc71us -8af/2CzIf92s8H4ZTd4njD+I4bLgIM/NY9IQ561Hy3NU+CxQljlSshjx7GW5 -hU8+sWDm2YlZ2wxoMrrYtc6qE/PFjHE2WB//l2TTwf6M+Xz6fH+2Hk3WnA8S -8+9iQfK6Y54tulivwZ7VdA/W7ynz67+lNLn5M+lEUi/OI0OFJxch7r4YVr74 -G843CmNSDjrIv6ISyYo+7IdZwcOz2piP4TqeW75jnka27MjWokmzSG9T5w8W -aMm6ibUswXxc1bv65AALGv5uq/unifORhu5j8V/o37sfRS5CvKa9ckXGbxb4 -7vJ3cliM/rE9qU5vGOetmfF6wYuwXneeutSNsGBjtpzsfQ2s5xsVgeNfFogt -//uvRR31y2Xl9o2yQJO7cnBCDfnTxnc/N84CNWj5sRjxlHoDtZkTOO9MPh/e -por3o0fvf96bxPntmezUcyo06ct4Xm8kZMHrmcULHizE+qWK33tNsWGTTo75 -B2XUT+7NWHcGG3IXD/gJF+A8ygkPG5nCho2LL9/RQlxlWHvpylQ2VNr5fN45 -H/lWvj16vhgbRqsytC7Oo0nyGZOsInE2LE+fE5ynRJNHwWdggyQbxsR5be2K -NIlqkv3KkmLDPO2vxlMQrzrMUPKXZgPRWJ2jOxf1fNDOmTGdDTvmv1ywew7e -118OZSbPYEPiysxb4Qp4/7v155fWTDZEJj9eXDQb9d3nuAVmsSHKY0o5Vx71 -/Uz+6XZ5NqwlsTvFEY/NXL7o62w2xH3cOb5MDvONUZwVPIcNVY3bc/bOwvkh -LnGxrCIb7EnE3qiZNHnY0FZ6T4kNC74MKJfK4rxUELLNeD7Wx/nqt88zaJK+ -48rfNwvw/1Y7K2UQl8J49v6FbChv35JqPB39erx136gKnsfgZIiXDObHjFka -0WpsuB/S4JMgTZMHEpVDKhpskOpat796Gt7Xfr15VbKIDW3Rn/f3SeH+Wm0L -bTTZYHb3gd9sxPefrrzVsYQNjVuTLlhI4n0oOzr5pDYb1lX9l+EvgfNpwbYb -kkvZUD3rdU2aOE3+Y1/OztRlw4NzCoMNYug/htrVy/XZUKB5bvGQKE1e167r -aDJgwytT4UFlxAbXG6ftXcYGq57UIpupWM8ndZbDy9nwZOsmkdMimB86y8Kv -rGTDj/sy++5OoUm92JyWBavZoDint/4dA+/LW48vfmLEhkev3xlO0jhfzdoY -ucmEDYdGmh4sQey/O36Ib8qGbZXvljhSNFExcDx0Yi0bKuy/PA4VUqTj9vVv -EuvYYMETri8QUGRWxdYTmeZsaElQ7+BMUmRpeKTECks23LhlHyaOuGLa2gfN -69mgoHfeYMUERXbtObZ930Y2zDpe1Ov+jyJFoYvE/1ix4daNruyYcYpcjnR5 -EbWJDXKtswMqxiiSe2ZmvIoNG5RsN677OkoRcU9bz1JbNmStOqoojzhqu+R6 -uy1s+FJ/fdL8L0Wsttkt/WLPBnf1x9/8/1Bku99slSAHNny9XM9PH8H9F3op -T9+O/Jr/kts4TBGdJWaa93awoXRu/ZeRIYpc+/yfiYkj9js/f0gV8cFv13a1 -OLHhrMTlaVt/U8Rws0jowV1s2OBuoxvyiyJnZcWfTu5mw8+ef865gxRh29z4 -neiK+nt9/Vr7AEUYos+MtdzY4Gml0CSC+ImtdzTZy4aHkedkDH9SpFYnp8/R -nQ019U2ue39QZG5x0LYfHmxI1/tbfO07RR5959VfOsCG45MicuX9FAnv+Wiu -6MWGVo9fwb19FHmV79FUeJAN55LKf8ohzrEPd7E6xIbYF26HLL5RZC9r7Sjv -MBsOGHC/B3yliK1zXOYJXzbcETMIutlLkRbWGQcpfzYYX3CRedlDET8fofTt -AKxfy6680W6KPFBU/rj6KBuSDLS2L0KsO8LOfnsM99fezNjRRZE74ssveZ1g -Q8S4UcXFLxRhemgfnjzJhvyWk8EFnymSJVvrknQKz5sUvJHXSZGvqmNO2kFs -8D5rO1cK8cO7LW61Z9ggX/1leHUHRf7ctT2yK5gN6tfXsbw+UWTIwOfaYAj6 -i5F7QxKfIu936RZHnEe/+2JZWcujyBetlK4FF9lw5HVP+SCXIqeLsxeWhLJh -jb517QLEUxhuB+3C2NC3wavVlkMRoXp1WVc4G5KtzfrPsCkyVbtRLjiCDYXH -WqY9YFEEVEPOzrqCfBIormpnUoSryP+ee5UNmpqKh6ci1lb97m1xDfWw5PW9 -Ze3IF6ucAVY0G9TMDPvc2yjy88asi0dj8f27VqviPlJkp6befIl4NvCTpKKr -PyA/6Im6/xLYkGkX3P/9PUWyV5w9uTqJDVOlUrcpIR5szTd4dx39V2JP7aZW -ikh/Sxo9mMKGexFNxqdbKLIvwqBZmMqGMzWciux3qKeqsOyUNDYsG4nf8PEt -RcLSYqP1MtjQvK+vfQriYN3t51/cZEO4xZdjhm8o0h/57uzeTDYMMs/Mdn9N -kaRn4pf+/od+5lFQG/uKIlvfTSTF3maDg/L5U9UvKfKPm1+0+C76pd3X5T+a -KZIygJfze2woXvptXAmx1hwbKef7bFAVnm/a3EQRnpeR9WAOGwwZD/8LasT6 -9X+Njcxlg9Mp7ws5L5Bfpbs/L8xDfWSWeLc3UKSPFWv2LJ8N/8oTd4kirtx/ -5b5DARvKpATbVjynyH5Pa8W+QjYw3g/tOFBPkWMDr1NCH7Mhe9vxvYl1FImf -qbRQ6Qkbnr46c6y2liKnPukXFz9lQ+gl8ZhfNRTp9prhYFvKhpxnio8XIm54 -Vj7WVYb1flzAtycUkfimnx9Sjn5c8HzWeaBI3tQTPrMr2WD6Z7fDo2qKvF0Y -vrygig1aTX4pvCqKJNh4ilsDG4J8J7qnIV6bIt/bQdjgpj51jWklRZTlU94F -1bJh54rLGT4VFElv66ufWc+GuV0hIunlWK8fsvUPn6P/nuw70fyMIg6Hpd+s -f8EGF73mH2NlFCndy//Ma8Q8cFQKWIJY6lM441Qz+ocBd9S5FP1vXGTpjFfI -h6lSUZElFEmsdfV48BrzfW62RtlT3N/mmNsWb9mw/snDxt4nyPc7aT8479A/ -5ymeUEA80hFqebKVDftSBxZbFVMkbpb1XZkPyKcjWl2Bj5FvW/qn53xkg8z3 -xpzsIoqU3Pa7bN7OBsntTSfbCinyXe2dGIfJhrQfS2xEES/smpV0gs0GA5Fv -misLUP8jRtoyXDZc+iQy3esRRQp9LF/f52H+N56dvJ7/f/8xOGP+iQ3B4rbD -z/NQr29EDDkdbGB/PT408pAiVGf18InPbPAq/jWugfjV7X21Ml3Ir8d1ko65 -FGlb1J+W041+oPdV9fIDzJsLe89Z9LLh8sk9liU5qL+aal/uVzZceKvi23Mf -/V8o4RXYh3kWuezmbMS3bSwOz/jOBrv+uLaN2RRZXe4dlPuDDSLrV885dY8i -kW7nEtcPsMGav9jj/l2KSNqGlfEH2bBC1O1J+x2KuCaf/Xr6NxtUxFky4oi1 -HDzVZg2jH+mnHF19G/cTZ3EofwTxq2SudxZFlh2UK7f6ywbLJW32N/6jiGYf -R/7zKOotcfvLpkzsj05acPA4G6bslrYfv4X8tNz6c/YEGx430RwtxBkWwsNF -k2wQM9ALcLmJ/FiT89tGyAYffqLUtQyKOG+yDe+hOBC5ULewMp0i/KDvqhcZ -HLDaOOH6Iw3f/3LlpZIIBz7empBdgHhfusb5kqkcyAxa+nbLDYocf0rWOIhx -wHFRdNL5VNT3Rlex7+Ic6B6e61GYQpHo/WOcy5IcCF3RuqozmSIqKjcqVKZx -IH31E/mZiI2STLMrpfH9LdX/LK5TpLWlK91pOge2Nf38djwJ9f0zIeP3DA7M -HbPsuJuI+qKsc6JncuCRXiX/YwJF7OdNBU05DjRU7+wWRTzd6WVHnTwHdo3K -DK+Kp8i2hnTpvQocuKnbI3kojiLnzp/aMD6HAxJPWEvSYikyJ3Vv5HVFDjhz -ere+jKFItcbONv15HAj5K3NhIpoiM9bu0ns1nwNPXexKlyJu+eObeFCZA6dd -sv64XaMIxzOeMUWFA8GbJdbGRaG+sl4E31LlQEXwpeiaqxRxqp7BMFbnwJGN -Mt2/r1Dk43u/hI8aHJCduL9eHfG9v5+WHl2M6//ekrczkiICM+8P05ZwwPQc -PS8igiJL6sQu52hx4M9wVWLZZczvFLBYr8OBiYehs/rCKRL6Pk6yYykHxMbs -0pUQZ0cH887qcUDGcIG2XRhFYrmXKhQMOLA+/1ftuUuYd2337xYbckC1psGj -MJQivonfUu2Xc8ClPl3y80WKTGhuTu1fwYHP0gHlsxAHP2q+HbGKA9+H1x7b -cAH1a+xbpmbEgb53EoanzuN80K3HAmMOxIy9Hss5h/uvnz3V1ZQDLxquNLFD -8H+DKqajazjwPM4kaxrivAvbziWZcWC4oPPC2mCKHI168FLfnANTQ854HzmL -84ympvprCw7wt4o43z6DfD/yNuLQeg48DAux/xBEEbOg//5M3ciBtqNdW0QR -N7pkHLltxYEpx1Y5rj5NkRC9+pG1m5Avn054Hj5FEZNpcy9zNnPAeFZ6cEYg -RcYkMlRO23LgpXdO+puTyO91WxrltnDgsHF6LYU4rlH/TJE91vvz0V+GJyiS -/2z9qi0OHIiq0tL0PI75phMl7NvGgYsa9V4px9DfV099H7GDA8cDTfObjqJ/ -/i0uUnfkwOppCf/+HaHIvIup6TVOWE+LOgddxBM/iuPcdnGgLvBNwb4AirQ7 -isX/243rizyWT/SniM+HxIxUVw5kW/teeu5HkUvndxevcOPAhf/+jf71pYjo -UdePrXs5YHbILVALcV9NGuOIO35PJf5z9aGIZdRsE+n9+P+6lMjYwxRR63l3 -LvcAB2xkfebXHqLIu/7m11ZeHFhjJVU+7I18ejpVs/sgB2bXB7otRpzjGhod -egjP2/NQcvdBPP+4uUDZhwMJ0g+qr3lRZPaDDWeqfDmwJ9X3DHji/i7G0C7+ -qLee4TW/D6Df3JyfNBrAAQOndRIaiPUUhg2Sj3Lg7WY7rtN+nPfFZ3GWHefA -ThXF0qseFNG/eja25QQHNEzu3ahyxzwu1bUPCMT+j36/NLiPIutylypKn0Z/ -qRg4qYb4VHDQYG4QBx58eRjguJci3tazWq3PcmDRe+WjV9ww3zUnqnuCObC3 -f9OZyj3Y75UrSsPOcUA5RjNqwJUiZ2KgXPUCB3znl99RRXxlU0YTuciBa/8m -6na6YD9DX31xu8SByasD/ZG7sd47HSQmwzhwRjdOqXIXzjNsbeP0yxwQWvO2 -DTjj/KO3J9AokgPlaz7GqyJ+5ddT1X4F1zsSyNzpRJHiwsYZgVEc+GAJi644 -UuTQrKkBctEcqJ/3KLhyJ0UWF2UwH8egH+w1Zw/sQL7ei7NziOOAQsApMzXE -DKnPrwfi0T+KtuQ5bsd5djJ+V0wiBwavPl94dRtFbt3IGtS5jnzZx86ocqDI -zTHZxJfJHPiUErXw11b0F6OudYdTOaCW3P5QHfHFk3PHxdM4oFtTudbZHueD -psfV99NRP+eNWFFbKGK8tShm403c7wrbs2CH/rh49uHuW7gf2yH1IVu8jx36 -vDXsPw4EaS5tW4R493IFS7XbHOg0GI3ZbYN+fufputo7qIe32+xjNuP9rLV6 -k/s9rK+3iULtJoos/7TMjbqPfnCgsGfEmiKbuuXPZebgebQLq5YgjqS9HqzN -Rf0uMsrYY4V82qrRwXuI/lKxKTR+I/r5wA7VkHwONO7oCHi+Afs5PhIwrwD5 -uvvfgbH1OH/ESjRVFHKgecUN96WIhU1xS10ec6DUvszT3ZIiJxuv3Rwv5kCV -rNPR6xbIt/uCOWlPOXC++3hYkznWM6w306gUz7NcOnNyHdY72NqQVYZ+cEil -xgDx73zVd6fLUS8Dj/o8zSiiseJU0JxKDrzSfaKUthbzTd9Kt6yKA5xEvR1v -1qCfVCb+dAIOWF9RTmIgXja6p/wv4cCmM6GclaYU6aTux6fUoh5aHbV8TLA/ -wwEnVtXj/yfTLmQao15+PfNof86BY152/PdGeP+Tu+x66gUHrp7xtRRHHBby -0V2hCc9370+B6WqKNG16cKy0Geuxo0/t6CrMmxRGrNMrDrwb2pB5byVFZC9/ -Lvn7Gr8fFFNlr0B+Ldvcl/KWA2OlunkyiFdUGS9Z3YJ6Ly1bY7kc88vy6XFm -K/rznrttp5ZRRL2rvOn0B/TT2YOBeYaot2pb7bltHHBwSFvQaYB6/+WT+qwd -+Ric9Voe8c70ubK7Wei3oiJhm/XxfsZxvD7OxvXdiPl5PYqYt6prpHM58PX3 -B9EnuhTxvxlGTPgcWLhs3fuvSynCcj11kPuJA/djqPvzEXfrCeaGdHJA+6Rc -6DYdiiisVGTO/4L7dTxzIEKbIn9jXmVVd3Fg9Lb+lkot/P/u2af29nCguHmF -2a8lqIfSUSfqK84XayNXLUIsaDixPusbBzL8F61y0aTIypwoU4t+DkS/klkb -t5giG8+uXfflO+Zjk5nt80U4f+6LsQ/7yYHAtlL3cQ3Mr1PBhzUGMQ88T57T -Q/y9QyK+4Rf649fA2wfU0X+rVtUdHOLAgpby1zfU8P6iI0ZLjHBgeoIZ9VaV -Ijvsgzbn/uHAs5tTjEUQH9kYm2kzyoH3XlPPGqlgPhtupn6McWDHPss6/4Xo -R8sf+sb844DXZMXMu8qoT9/iLr1JDvgU+R1iLcD75L/93i0CnA8GHF/IIPaY -Uv33GMWF7zqBOuvnY97drU2QY3DBnNuUGjQPMXXcqGQKF0yPbZ1WoITz7ep3 -/U5TueCwXzyiSxHzwo/zYEyUC3rqg+KKiItrrh9PF+fCsyWiCfZzKfJyJ7Vp -jSQXpn2zVg2fQ5HHNvO0Pklx4XR7ybNyBYooPu+bfVGaC5cPb3EenI38/OI7 -XW06F4YVZAQaiJOa7sx6PoMLlTuHc13kkU+pcWoHZ3JBLE3oFi9HEa9jy80k -5Liw2kVX8cUsilwNivN6KM+FvunnuRMz8fzv7t2wU+BCv+7gPUPEtqknmQNz -uLBB70KgtyxFYoYptQRFLhhGLt1yawZF1ottClo+jwtqRX90PkyniNjQFk7b -fC7UqbBnSiL2Zc/aFKTMhV8ObUIzGYrodKTWKqlwof7Zt6GT0jgPLv5kVa3K -hdCWmQMPp2EetPQy96lz4ZHs1l+dUhTpmPLk5JRFXGAMZY4rIH71af2C7MVc -OPSTktoiSZGeyPRW6yVcEAk5qhomgf1RfZbQr8UFrTmD68rFcV57e8stRocL -fkZnvQbFMI+K7VYa6HIhZrds4iLEWb8b5n7Q40L4SGGDqyhFrhdISZwywP2E -OdOJU3EelpkvoriMCz0XRS2bRLBehhOSVcu5YOf9LEo4Be+X63Ln71uJ3z8O -4KxA/HO3pumU1VyI4yw29GXgebJPeWUbcSHHrSP2No3+bn0jY5MJF4xLU4aZ -FPr3/hj+d1Os/z7bfdMRv1By1olbywXlgrF7UQIhnEz+G75sHRf8de1vjE4I -Ie2vX3+bORc2rk5O8/wnhOb9la5nLHG95y8ftI4JIVH4hTV/Axey335vMBsV -QuFAt0fNRi5Yb/3zK++PENqd6/4esObCbfNuLcURIXzfG5IqvpkL626VHI0Y -EkL3EvkNeTbYT/eDDcO/hFDHiZq0t+PCw/BhTY9BIeSnfa4Z2sKFAjGXG29/ -CuFNlGJCylYu7P6SorDmhxDOfFjub7KNC1vlc+7k9gtBIs3Q8dN2LtxIi1wz -p08IAlp+86WdXMg8srI7/KsQuAa8TYuduGB5/VHaUI8Qttlf2/nSmQtVoj/3 -uHcLYfoFNb+A3VyoqPul+/aLEPq+3Ymb5YrneVkiveazEF4/liGle7jwaZ7x -eG6HEAooz38ue7ngXnZ6eM4nITwcu29BuXNB7lbAxGWeEHrrmNfvemB93ijN -HOEI4Xb46LD1AS4stTmzYj9bCMae4vt+eOL55SO9WphCULgi0R5/kAtHdS3u -mbULoVphctfKQ1w4cOPer/yPuP6qrq/sw1gf5wKbeR+E8HM6jpi+XNgT4Fp8 -tVUIvxritdT9uUB3PtAce4f1u7Sb1xjAhVNFSQ8PvhXCPD+lDL+jXJDtnmva -9loIG3I/es08zoWQCyvZ618Jwcbj6prSE1xoj+wNL24WwsFK44WugVi/KVpm -qk1C+PapV4Y+jfX5Mz41/oUQVg0nSGQHcSHQ24ktfI79W7hmhs1ZLlzYa1rp -Xy8Erehe1cFgLgx9zn7IqxWCnHui+fVzXNg8nphjWyME03pzX+MLXDiYTxVX -APaTP3T700UuJIj0NWtVC6G+Pbc77BL+X9xu8EalEKYxDy7XCufC4tpFahIV -QggW04l9e5kLc01O7D/9TAhmMaMjJyK5sCTEsKi3VAgZSW+8Fa9yIT3BbZpT -iRCGLQp6IYoLMy6PnGh4IoSKmvRjntFcSPQY7ltRLIQQo+sSUrGIlzn73ysS -Aq81I68wjgsdIguEcoVCSCgpdnFM4MLTzxY3wx4J4Zg0Z/ZEIhcesOqsh/OE -sJ+S42ddRz/8c5M+8FAIu8v2FlmlID+t3rx4/wD36wZxP1K5oM9ySLfMwXoq -LQ9OTEP9l2sEF2cL4fNcOG6UwQXW2MbDaveE0HjR/dSnm1xYmP3YM/GOEMRD -5kWEZ3Kh6I2n/5TbQli84tdt7SwumF3aE3b8P3z/fUdzy20ufH2ffP/LLdRv -6HfBqbvItxYZ5vabqG8febMF2aj/qFr5+nT8vsw1qv4+F/bLF+xbniaE2oS6 -L4cfcGH9+Zayu6lCWKdhYy37kAtJnEUL5FOEwLwxXFaaxwUwzYsLvy6EJsWa -FW6PsF9P3Wb8SRTCntaiapFCLqzZZXLTKwH71f9i+8MiLuw0MVvVHieEnbEi -Iw7FXGgOOMi3ihUC65v37dEnXBiTLEooixaCucYfl8wSLiSrzN2x5JoQ3Hzz -VTaWoT4bM1TTrqK++2KHvj/jQq+8kUDyihAsmm61JFbg9wv6e85GCGHmCk6F -cRX68XgB93u4EP5z3vi4s5oL86vDPu0JE4La3s4nkYQLHy56DbwJFcLf4/l1 -erVcyHfdNm3dRSFcrn3Ib6vj4ry2YWXRefSHQN7Uc8+xHqWmfqrnkD/llkYa -L7DfB1cUJQYLYW7lp9OvGrF/cTqMqWfRD+89rj/ezAVFG+V9gUFCMLhTNU/p -FeIiyZe9p4Qw0UFfrH2N/s3tt9gVKIShqxd+HXqL+dULL5pPCMH6tbG/bAvy -9celXabHhaD5weBvWSvmp8SK0fyjQvjz0uvavg9cUHJ8d0f5CJ63k71UvI0L -uoPbXOP9hSC2LpZT0I71GnqmMsVPCN7y4dedWFzwDmEMn/ARwtfoKhchmwsr -cpe87zkkBKc2I937XC5cS9EBZ28hRCj9m2bPx7zdL17W7IV6vMoY/fOJC7ba -5VWmnqj3rQ4Dtzq54Cxj9u7RfiH8uPH198YvOH9oJw0s9BBCW1ITY6CLC6uy -SpQS96Ee/UcWpPRgvsfe2TF1rxDubfezMvuK84mCc9qpPUI4d8wwuPcbF145 -tXz/5iIEn9ENVbH96E/Hptm67sZ+zXogufoH8jtCtOyNsxC8Bl0PdPzkwuuy -Sn1zJyFoVHs0Rw5ivmrqlBTvFIJtboWpwW8ulI06WC/aIYTfn70rWENc4Nho -96ZuQ34l+2wMHUF9rH+aIOUghMDf9Tytv6gPsR+bz9mjn2oEXnw/inwteTv9 -l50Q5PdeMAgeR30E7u7cbyuEI6+6fqhPcKHB5yq0bRbCo4y7Ja8nsT8Vrrmb -NuFzAYkKFHLhy5U3WZVWQohZaOKnTPNg7ST3nt5G7LeBnEsjgweLTcJLbq8X -wnV3u51HRXjQeqj+vbylEOL5vS6Kojz4UJAyGWkuBClml3+dGA/mL59YNmEm -hK0hG2J8JXgwOX8gMGCtEEonJcvlpfD5db+Gz6aII1f+rp7Gg4s1J1QdTYTQ -Y9e00luGB9Ev6agmI9RbcH2E7AweiHJlqTWrkd8blnSXy/Lgn9Lti4UrhaDT -PrrlwCwe9D0pmK6+AvPBY/lzaXke3Hm3KjdlGebbbJ5V6Wwe7L6xykHKEOun -Pty2bw4PrhnliZzXx/9XnDkmqcgDHW5C/W9dIahKH1N8osSDU3lf47yW4nxg -zXmzZz4PprTlHmJro54zS2PFlHnQEta2ZYuWEIrXie8pWsgDvW7vdbWaQnB2 -e7PSRZUHTWp7165cjP6mKTV/qjoPHvqVWOdqoB+9g+kFGjxYOeizd4E67ifi -h8yuxTzQZgWHJqgK4WnIdcUpS3jwn2NPkagK9qurzDBfiwfTUu79OKOM5/nh -7OSkw4PVTaUrBuYjX5oCI2ldHtjOU7y6fx7i3FkND/WwH9DU164ohBW1+jMc -DXhw+0udk+1c7If5Wy9qGQ9+l05tIQroJ7sGm3KX82C73zXHFbNRr2uuG+1c -yYOC5Tu/PpATgq4yPBWu4sFmsz2XF8wSwl29gLW5Rjyoq87ST5TFvM3Kfr/D -hIf5rNwrNgP9O9vrpNCUBxe6PjwIlkF/OVqolruWBzBQdfrXNCHkLA/n71jH -g/dGzO1eUkLYqNpzT2jOA/k/C004EkIQ9fsQlGvJAxPn67pbxYUQZuWwe+cG -HmxLMtR9LiqEyC68pVvx4Dl/xMh4qhA+Bf5b99CaB1t9uQ4FU4QQZKBt5bgZ -63Xsy0l1hhA8rH7uom15cFhDPPsGhfXt3xCUZ8eDVZVWn2WEAsh2WHbPyZ4H -Mb6ZWmGTAojOK+UxHHjwy3fa+bF/Aniv90H10Tbsz3DUJ/9xAfTLXD2xawcP -52Ul265RAQSFsFtFHHmw4kRp/a6/AtAuaFhT6MQDF+6eTW9HBPCy3f6pyy4e -zM6VYq8fFsAa7VNGYi48+CFfHVj+WwCBvDXNj12xPs7HlPV/CSBB9d5BNzce -vHio8eHegACe6j6SldzHgzjrj0lKPwWweOXuxqfuPBA/dM49/rsA1vvlRrnv -58FBqwXGYv0COC/+n4u0Jw9sFjxeEPJNAN6mpqufefHguuaq6UO9eN41F1Q8 -vfG8WblSh3oE8Gedn4LsYR68rpeQ+9QlAJ2zIopVPjxY/8ZBc+cXAZiqWC05 -5If9GD9v/bJTAPreKzfIB/DAPjz+hHmHANTC3/vVHOFBQN6lvFK+AJzyle/4 -HcPz5W0fXMoTgOLsed1zT/DgQL3A7C5HAB+Hm5Y1nORBs35ouiJbADPOa8Ue -O4X11Ocw4pkC8Opb+3dBEA+GaLFAsXYBXPMV9315BvnXxRgJ+SgAW5PIH6eC -edA4+9X54fcCSL4GZ9XP8UCatXe2T6sA9icXzG45j/X2qSjrfIf1j9lVHXKR -B4ukuV7ObwVA51Uf07rEg35h9cK3rwWwVb1jWXsYD1zD3Hs2vBKAnC7QYZd5 -UMshpZXNAmgRunL1I3lQb8VOWtYkANl35XW8K9hfyYchuS+QLx9ZpVejsH6e -+sdUGgQw1aqibFU09jPj4LHUeqyHy76GrhgeaP22Oze9TgBnNjV3xMfxwOFB -x/XLNQI4Zz0uZpbAA+bU+c8mAc8T+8vkeyIPimyoryeqBTC6syj4xnUeqEOE -6vdKAYi/N27emMKDl3cLvfdXCGDl2lj14VQe3DA/Xc5+JoDpbwuistJ48IrN -UdhWJoC1VTeFWzJ4QJUwLzSV4Hrrdl+YuIn+O9d3ZN1TAeTG9UjnZvLAY3Pi -ybJiARR2W+Y4ZWG/4mxo/ccCuHnquP3UO+i/hgmp9wsFkHIucErxXR5cCjxg -olwggFbDLfX7snlw6B58S84XQNGrf/EyOTxIEs26I5MngBthF3wrH/DA6PPU -Q5dzcX+JvO2HH/Kg40K/kSBHANX6ctZz8nmwR9t+duB9Abgla2xqeMSDT1q6 -gh/3BFA1MdPpRCEPuhrDf3neRT1m8I6qPkY+2m8f5N0WQGLB5RvvinkgKZ40 -vjNLAAb+09+ce4r+sGbDjDeZ+L5s0PSlpahPkwMGG28JoP19/R5OGfq7zc89 -1RkCuP1jqOxKOfLtWcf1lekCqEgVU1ldyQPf1tWsRzcQy9DJPVU8GOwYWrw4 -VQB7r3QqXAfcv8H00MxkAQRY5GZb1vBgVDayV+G6ADjHXS1+1+J6b1yc4xIF -cMdprO+/eh4MF0d8EE8QQPfi0P/sG3jAnyHhejEO67dg1EPwggffDXk/x2IE -UBnoapjfxAMfbzr6WLQAJA8Xyri+xP8Lj63sjxKA+bKRv5KveRBqrde//6oA -Bqfp/Hz2hgcb45c95EYKgGfg+Mv7HQ8+LgkJ3BkhgAbuCXpOKw9mekjYvQnH -flpfWfDiPQ8Mr37UtQrD8xQmWQd+5EHhb74SCRWAun3qeY12Huz/ripndFEA -Gvuu131gor4bbyk8Pi+AvAXRcmFsHlgx7RdpnxPAwoYLx5ZxeVDst2zd3WDU -V8JR3mce5gN7o+f8swLordq3M+ETD3hHI64nB6Gew+3Z5p08KA3//W76aQGU -q5v5/vqM/n4oXOFKoAB2tOtLZXXxQOLImkOMkwI4wNIo3drDg5AfCg1njwvg -n5fyEeorDzJXzNQdOSoAh8oFKwu/8aAsY0mW/xEBPJHXkNjXz4Odp1yUv/oL -IKJg2bfpP3jgpngvx91PAPYNNm3wE/XAmbKG4yOAu8n+7wIGeUBkTnJ3HBaA -8Z6b7cq/0Y+k/lx+4y2ATkdW/9shHqgtDjO1PiiAi0RN+sII5mXZvMkaTwEo -tYeY6P/lQYV8VaPJAQG8af8a2DGKfE72yHzqIYBGoSfEjfMgK17yop67APZc -+yNnPoHz1N7Hfg/2CuB3efqpX5M4vzg6eaq5oT6aHHuzhDzQbflz8KYrnm9Y -88A2mg8Ri2JOKrgIwP3MrJ+MKXxoL1CMid+F/bqhEF4swsdz3SiScsY8ilm5 -5IAoH3zqxDvCHVFPqUfZcuJ8GKc851I7BTBlpCn1uQQfZrIe7jmzXQAxn9cd -CJTig0o2O2/YQQCume2mi6X5wKz9KRqwFfVyKFaVKcMH06vdPt+2CCDswiH5 -KzP4cMOpkrPfTgBjKgfljWfyIenyEUe+jQAkoq+o9s/ig/xxIcd5swCOUq2m -GfJ82B7k5fveWgBLK8wP2Cnw4cPIbbEtVpiHE6xUwRw++G14nN+4AevFyGAX -KPLB6Hm8m+V65L/MlSXu8/iQ27pWsdpCAM57bofPXMCHEy9LOlab4/n1v/2s -U+ZDlvTfomIz9Mvnbp4nVfhw8e9EtO5aAZx1E/m2SI0Pj3ufn3hgKgAfI04Q -U50PamvsvdRNBJCW3KVwdREfJJywYUYCkC5RqTPR5MPXpNRDiqsF8Lw98eyP -JXyIc9x+9vpKAfwwMTXP1OaD0kRdyowVAnilOk/OYSkfRrt7q6OWYV6/Wj7M -0OPD+xOVg6KGAtA8E9H5RJ8PRRJmS0P1BVDsI8/1MuQDb6rfiUldAVCfP32Z -sxzXa7ZsOL0U/WD+19HmFXyoLCeqw9qYN/v0lEJW8eHyqs4rAVoCKP1WslnP -iA/Vd27/69PEPP13PqLTmA8aHozTXosFkNoe1ZJoyofXHycFnRqop2qO5sa1 -2A+PhLg96gLw/HUketSMDzcPV+mwVAWw6bGtMNecD67bg9/vUBFAusWRc3ss -+RB54VXYO2Vcv4srOWMDH/IcH66zXSCA08zEu7Ub+ZBgPFuscR7qzT3Z5qQ1 -H9zjJZmWSpiXNd3CxZv5cJyEF8NcAXQZX6ph2/Dh3NLwGyZzBLBk+pG4aDs+ -nFkrerV0tgBGLuT7rrPH/uwSDV8mj/nTauo4tJUPxd2hVwtmoV9uVLbL3ob8 -2RSUpj0T9bnQ0WHXDj7OcT1P7s9APWR99pjmyAer5U0stemYd9INF8GJDzVX -50v8J43+nU0/OraLDwudOi3mTUM/Kkzu1XDB7+mZEamS2E//y7osVz5ID+V9 -lJPA/qu3hl5z48PUpALdeDEB3Jt1tstsHx9e2CkkSIsKQO9i6PYhdz7UXukU -XhERwKrCb2+z9/Mhv0jqtOgUAfh1Fe3a7Yn100scD6UFkOHOHZQ+yIc7ficj -hMJJuO9z+HqNNx+i2woWBAsmIWLjHquTh7F/H83I6MQk7FxZIrrElw/xH1R9 -T/6bBJvzge+5fnwwWeeo+ntsEoo8M/PjAvjAudT+2X90EoaXGl5ffxT1IHU3 -v//PJCTM0786eowP1pbPQr1HJkErMO1a3gk+9KXIeXQPTULo+WMZ+wL5YBBY -bOPxexL2hTx7JneaD2Y2iWafBieh7MmRrsYg7E9Y0RrXgUm4cfjGvJCzuJ9Y -qY2sH5Og0bXcwyAE+8m+5ez4fRJueq1/2n2ODxfee5983zcJu1c1yadd4IPy -N6+Mrd8mgZlef2lLKB80rya/ft07Cf+xVgkZYXwo0RgRt+mZhEMr1SNLw/mg -rn1hS2PXJPz6e3WBbwQf5kiuuLXhyySoHPCrXXgF9WwoO1rbOQm/yavjH6/y -IVZupuu6jkm4sCPX8Oo11MPCFc1VfJygDogJ18bwoe3FKQsT3iTUrO5mDsWi -35xpry/jTIL27A0kJ54Psx46OKxkT0KdpebTPYl8WNz8pbeYOQk64nGlM6/z -YWBTVKRB+ySo54a8eJHMh6iMDcsKPk5C4JHfXcGpfPBePuOrzodJUL09MN0w -jQ8rwr5m57ZOguHlQOvedD78ELwM0GyZhOb9kTEZN/nwUqHMIvvtJCwLXfTZ -IRP5bJGrrP4Gn2tusxTL4oPD70zR268mQTJz2uPK23z4mJ78V/nlJETpOOke -u8sH/eKo3zeb8HxzlpUtzuaDSH7wX6XGSVicl2XPu4/9FHiJpjXg86V3hxMe -oL8oWSvPeT4Jp3pM7ls/5MPJs/Mtkuuwv/MPHxTk8aEgoctfrhbfV9Jf8eQR -H0La0+4lkElIXRI743Ah6oWs6ZkBk/AvJnJM+TEf5tX9j+Lqjsfq/+IRJSt7 -ZoTMhJCQCmmQQqEhkVJmhKJki6JEdqgoIgqVSnEqKVR8aSp57r1PZkKhZ9fv -/P48r3s/45zzHufTZZzVgutzVaY/3B0EM891qWJPeBCUvH024/4gHJ8ppGc0 -84CqUFtg9wD1e/EHJ2GcaOfWZi1jPhwECY1fLekPEP+lV9xuN2N+FeOWC5t4 -MH+R2/mDT1BfRAFS7/FgQ1fVB6XWQeC8D9oucJcHd/XLDXphEPyjJkeTGnjQ -HGGXlfYM8/PfkMlXz4OBybPz1rahH2kEWSbc5sHjoZj42Reo5xo+039reSBR -Li166+UgTAyqN5y+xYMHIbsqfTsGwfZdzSluNeI3Z8s2hS6sfwxn+6mbPHi/ -Z3R+z+tBKHOSWMGuRL5IrHqV+nYQZl8My8bc4AGDZ1q4pmcQDvjELmRW8OBc -CP34zH+DsL6om/9EOeKt2sGvpg/x/+PLwj9XeWDE27vP9/0g0HrL5KKu8CC9 -UeeQwsdBuNwpbzRbyoObMjUnez6hHm2zd40o4UF46PfSM/1Yn2+qp38X82BC -+HO3zddBGJypagwv4sE68zNicwODMF984Nd0AQ9qV0/vrh3E+lU/tArL58F5 -H/l7fgT61Qbr81O5PNjN5CorU4NQ7uU7FnoJz3Mqz+6jD4J8mO72yWzkc6WQ -7LkhnBd451tDLmI9dphU2o4Mgk9ylsXPCzxgXVFxYI1i/RL0m4PP4/mfun/V -jw/C3iivjRMZmL/DxtojE4NgRGgMBJ3jgaxFaqT65CCssD116kc6D8yZmY6f -p9AfFPy0gtJ4cPiD94qLvwZBbvjTx/FU5IsyV23zzCD063/KCUzhgYOcv9q8 -OcTjYe9d40n4v3TZ8od/cF5RCdIJTORB7P4bm8KYgzD9hv1vLB75sel0mC4b -9ZUpTAXE8aBcQaeK4AyCuEbR27FYHgiqX/9RyBsE+9flzwNO8YDv1pyN6z+s -x/Flz8ZieCC0UKVsER8NXlaqdgZE86AyUVn0OT8Nzg9mfBk7jvkd+Z12UoAG -ktcC5wKieHBsUYWk6QIaPAl/qDgegXhtXFH9YyENdN8f2xR4jAfs+vxt1xfR -YM3WgrjxMB7U7Rjg2ydCA0VvTQg8yoPLo/PaZMXw/wsyi36E8GBxq2BOtzgN -hH2PeAUF8yBSYyI0TYIG1XuXPPoRiPp88P7u9VI0WD5/hVpwAJ7fd8CNJU0D -zkDxhYnDiJfHc7saZWnQEuqzMMSfB2tCj4YEydNgz9rYsz8P8qDXsjdLS5EG -8/p+yIT68WBTyJKn35RoIFNfWz3pi3j3dPubv4QGtvufbDrqw4O+zZGOLqo0 -OOavMDXljXqdlXx9kToN3m1tvRK2jwdvTiWKti2lwZuiW7t/7cX67TuaFKtJ -A8EP35Yc28MD0eRtC1Yto0HwGbex37t40GqjXjilTQODVQshwpMHSt+GLKp1 -aXAzmFU6686D1Q1Xhw7o0yCrUftM1E4ebBN2u7ZkOQ1eXMw88ceNB42rOYEf -DWkQcVH32AlXHvRkltpdNKLBAmtmFHM7Dww9rXQdTWigosRKitnGg/jRPmUB -UxqUP9AtYm/lQUr2EZVWMxo8LE15eMqJB/IV3OXRq2jwykOY5G5BPIdedFy5 -mgZhIQ+k4jbj9w3Ljk9Y0iAn+Kzzv41Yv6gndyqtabCTdjo7wYEHHTs9GT42 -NFjsmjPItwHxuZKxVXkdDQ46vzBLtkP8+pTWf1hPg5U+krkCtjz4Z+SkcdEO -95M9wU1dx4ODM3zljhto8I31O2ThWh7s4j43EtxIgztFSaPpa3jwrSTrNWyi -wZdEzWBhax5I6gREndxCg8h175gZluhfP10MzZ2wH/uzLoitRj2x3TwztZUG -yWHuhlmreFBw3OVVzTYaeP7T+CBhzoOfg4HVh1xo4FE8l5pjivm+LSxSd6NB -T0/XOpmVPNic+7Xg6w4abF1xlT/fGO97xux6vjsNMjdEdMsb8cCXeb3V1ZMG -RddsK4oMeXDResWI6G4aNL4XSlRezoPuil6Vjj1Yn5CXh0v1eRCdcvFAshfi -n3PCU00P8WASfH+tNw0OiCu7XNPB+vIOybH30+DvqjpXTW0euK2JT73vS4ME -weVeN7R4cNbuEX+4Hw2KhfOO6miivvnJXlh+CPf7NJRRvRT9ciZXZ9SfBhe5 -yg0G6jzg32TZU3GEBgwRc1qdKvK/YX7q/kDkW8EKOWMVHgikz21WDqZBv9EC -j0Zl3E9VQvlTCA1cjzwqM1NC/HXt5OQcxe99DtNNCjzYR3sxti2cBov4qx0t -5VHvG32HhSNoUJ9O1D2WxXmraPmvl5E0oFhjimtleBA6pi2cfJwGY6PPLzyV -Qr3442qyLpoGm8eOiNpL8qBM7o4/J4YG7Rf6c9oX/9/f19U8OEWDfSFSGpvF -eeA9JMCNOE0DZ0XJ5i5RHqxaN8/LOB7P13m3x1kE9ZvftGsigQYOBh4C/y3C -/FLKNlYn0WCquaDJTQj9bcmG3kMpiLegvPAPC9DfVJcFapxB/vVuNd8liPMX -ZSdJS8P1yY/5vs7Heae17OXlszQolKN93MfPA7qQ1bldGTQ4tfT+PWIe4l1e -zkv2PA3WW1lf9vvHhZV2Zmv6LtDgOCP03DCPC58H8/SzLtLg+5RzUgCXC9Ub -1uhszUG8NH9ImmBzobJLd+WiXMTz5PzMoywuzL3ycnqZR4MOzY+lvxlc+HKp -/1hyAQ3Sfm15GPWHC7dTr95cX0QD2pTXV+YsF2ZmGyd4xTSYbRJdGDvDBQtL -qXWPS2hgTPOw/veLC3Y1cCW6DPWEzzI6aZoLfVeeiK+6inpxv75FcIoL0+HC -mTPXkJ/5j0XO/uTC9ega+YYKGrhYex4QneCCrGhZQ+gNGkivS3yWNc6F4pTh -3curaKBkbaEnPcaFPKtUifGbyOfO40X5I1zIOXPqQ1UNDTRSbKSUhrlg/Kzr -5qFa9AvBs5dKv3PBxD7ynOZtGvwZ9VBZSufCqUMxJ8k7yJeO63euk1wQTfwa -faUB9WZdmKMuwQXu5OXUfXcRb2NNP28NciFd6MlV5fuIhwPHi4y+cUFEx6ar -vwn1zKHW+e5XLvyqUOcvfIj3W+EhbPEF6//58GaPZtTLR+E9zZ+5EKwmUyrz -hAZzydyStZ+4EN+rPe9dCw1m9GaPPf/ABd7ma+HZQIPozR6uG99jfWkpv7Y/ -o0FJrPrqrj4unJnuixdvQ//wc9HZ1suFeR8yl7x9QYPAy3TVvh4udI/cfZXx -kgYhzz6penRzISB5S6JjBw1eR+jrfHnDheP827cs6sL1Lv0W3q+50Aztah2v -afDgD+lCdXJBQu6OQNpbGgQI2B3z78D1PqJMhx78rsC4PP6SC+OsQZZALw2a -+/6+DW3nQq+NrvCLPty/10Nopo0Lh9LGdJPfI/7ucx1PPOeC9kotD7uPNEhR -mczjPOVCRVF/Nt9nGvys1h2LBy5kKooMPO2nwQS7eoNAKxcaxJrNEr5iXH/0 -ZvoTLvD3jVxe9w3xGnxCRuwx5v88T/LfIPpDd2t69iMuhFi357USNIiJtheU -e8gFduEJ3TiKBktE5p8rbuLCJYvbnTbfaaCny5FTu8+FpxGBMbwh1NdwvdqK -u1x8L9RZtIxg/9Mztug2ciHRIkbg9BgNlCXUpmrruXAvupu25gcN1taQJSZ3 -uPCk63Ynd4IG+az/3JrquPDonPLzJ5PYz6vjEta1XBiRleuMnaaBr/3yT1DD -xbnxyuCa3zSQT7l0Y0M1F1znN/PzZmiQsUA1trOKC0Xq/uYtczQ4HNq5Z1sl -4jP+xvHTDPy+/5Ltu+tcGIuNeWnDooFUXIzxrgqszwm61l82DbaExuh8u8aF -q2+/Z7dyaXD3/UXtA1e50D8QJxb/lwaiHi2GI2Vc+JbY/1ptHgEOBdw1waVc -2OFiqzCPj4BzNlt3/rrMBbmzjCAC49WT1RHHi7lw4iv35VN+Aoht0pc5hVwY -/OOqd20+AdsFz3QlFHCh5RwjJ1GAgKQH//gW5OP9N07OPyBIwF2RONuMXC7w -fVkVa7eAAOebf9MlLnGhcLaXo7GQgGnT+M952VyQ3Pg0ab4QAZHuPCPli1zQ -j+OX/I7x97vHs65e4ELj1qLKF4sISPsz+mfZeS6c8021vyFMwPsXrv63MjDf -4FcjqSIEnHh5+5vxOeSbis8lf1ECdlbwvJrSuXB+mcvGTWIEJM5f8906jQsX -TQvn6YoT4JR1OOJZKhc0mKufCy0mYNXUaeFNKVxI1TTNGMOY8zq2+k0SF/4e -StvbJUFAfLevi1siF6aOrjK9JUnAjyv6/z7FI19+rZfKlCLg0tj7+/viuEBd -rmIGSxPA5+4dSY/lwnfVoGFnGQJmM15YBZziwgGDzK8rZAnwXi24aCoG+XpM -5PNiOQJCBVRpkdFciKkY+zqN8ali0Rb2cS5khemM9MoToHSjuzwhigsq59pZ -jQoELO7xvbggkgtC115I5ypivm1tqZnHuODgv8w8SokAGcPfSVLhqDfnRvd5 -KBPw4MF4WuFRxAOIX7BYQsAH8Vu5qqFcCGoqbFdQIcB00Lj6ejDyQS1NgI1x -T29Mu34QF1Trvjh+VSVgMC95rD4A1y/OLXyiRsDLj06yFke44Ma6+7NUnQBl -2/82t/gj35SsHeOXYv8TxVPsD3HBU1v/to8GAekOAq86/bjAfJOoaKdJQJ/l -HUmXA1xIeGqXqalFwJyI2MGPPlwoawxZILiMgAsByq1e+1Hv3eenD2N8dN5n -Nfo+xMNuAckObQIuxq0/G+CF+x8Lv1atQ4Bxjht7ag8X/rg4WWboEnBnTCTi -+G7ES1XO52A9AqpNA2e4nlxYprs5fps+AZOqQaeSPZCfKcGGxgYExO0RFRF2 -x/sfnUeXXE5ARp5T+cUdiK/LAldnMD4Zr20r74brm2MOfjAkgHpVPFLqgnw8 -7WP8YAUB2aqVeVrbubCr6NH8IiPM13Sj0y1nLky2pg6eNCbgZ1O00MqtXFhz -rf2plwkBK3Zbv33oyIWvv2Nq1q7EfnRlFK3bwoWT/hWX1U0JaHxyOOTlJvTH -23a5/GYE3Ke92ey8EfUnblfud4wlhh4avN/ABVb60OWX5gQsidOT22vPheyE -8ZqbqwgI8FoiRNlyIULhyLNzFgQ8McniC1jPhbr5+2nBqwmYVx/PP72WCx5z -PQLbLQnwOftD+IQNF65dfWxiYkWAYdh/Sn+tufD8oYa/tDXiV275ylQrLiz6 -JVg+h3GgMddF1JIL/3EPDX1ag3g9uvbEJQsuJGXZGzfbEGCfNn1daRUX8r2u -JJWsJUDMQOLLNTMulMifHIhbR4CX+GU5PVMuGES+t/Fdj/j6fmFPvQnya9md -SntbAiIOjN2wMMb7EMLy2nYELLe+yWxdwQXxXaMXhOwJcNHsdNtoiPqxfrP4 -D4y39my599YA+b3VIO/tBgLezOiouOujP5vkaNY7EHDVwff8gC4XFlScfpSz -kYB3MTMCB3UQ3+6THlGbCMh1GEj+sQz1ivud47mZgB3eisIRWlygOx24abWF -gOsxNwvYGohHlr+XiiMBjs5py5OWcuHngxn5eU4YZ93tWKTOhY9rFn2lMH42 -px+crcoFxzU3b7RvJUDU4oecogoXPgX2nrjpjHxc9LvjqjLudzrVNWMbATFa -Nkm6Sly4o9O+MnQ76u/aLrt6BS7sV8tWdnXBfosXCK+WR/9XGBcxc8X8na71 -gyzOU53/zZd3I+Bw3fCdTTI4bw05zGdjLDhx8HyPFBfeLXUU/raDgL+tisc8 -JbmgaDao8HQn1n+Q35u2mAvLe/mNKtwJ2MWv6npYnAumtx9uPeNBgBv9iNOU -KPppwrxjAZ4EjFiSW0+IcEGT96Vs6y4CBlpT3P8tQj72b35ntJsALQPXQ2lC -XMh47bhYeg8BQxYbYhcvxP/TSbc/GIeX7S0uEOSCcLtYWf9e1F+FPFAT4ALN -4r/pJ14ELN0/+aOKnwtO+XpOV/cR8Gn5ITVjPux3vlJdsjcBsdaM3Q//cWBu -okLu8H7M36H88vq/HKC5vExz9CHgkcDB7x1cDjw8kTRvhS8Be8yszFw5HEiU -70+QPEDArwsaGf0sDjgMdwnNYZzaozTmy+SAbvGuws9+BJg3qG8b/8MBj7Ek -oycHsR5TJs3H5jggfs6x+8ohAsIcthpyZjhwZWV9ZLI/6s3RkKrk3xwILbqn -cfgwAdG6l3RFf3FgJHLXZ8cjBHgYPq7PneLAhVMleSsCCJhvRV+nMsmBX36J -e6QC8T7Ciz7emOBA4/eFOn8wvu2lH7HiBwdS7hlz+oMIWDixQf7BGAeWn+N+ -bAkmYCrK4/m6UQ6cWBLcfC2EgDMPvCI7hjngpJFwIzWUAJVQd0PXIQ6UulkW -BhxF/nqu/dlP58DRg4U5zmEEHDCWvXeA4sA78bJck3DE+4NPiT8IDvwWciqT -PUZAR02yRySNA7xFV++wMDbqkFvJ+8aBtZ2lHd8iCDDoviBzZoADwn83jD2L -JGDjqTGe+FcOtO3Pl6yMImDNBa3Jgn4OfL+RY3vuOAG/222G1D9jv9KsYkJP -oL6SK+nVHzmQ2XLhoVs09vsq3+jKDxxw/Zv1b1UM7vesaubxOw7841u3Tfkk -5iegucChjwNeCSXX/2Fcpxeu1v0fBzabVPN/P4X1ms5a59nDgao3h450xBJQ -qXjan3jLgVjhdx9qT+P8cHBVbsAbDrwq/+WYHUfAcM6jjt9dHKh3fv4qKp6A -zQcFBGI7ObCvzWHrngTU8yKZjYIdHFj0JPbz2kQC7s2OXLjwkgNC04eDNZPw -u3nsoHw7Bx7JCwkJJaO+qPaYXWvjQPqPfbcmMP4RNpit/5wDM5qBHr0pBMz8 -rJq7+5QD52MMFzWlEtDqqedjAxxgXb/ZVnwG/TrMp/dlC9bLeyA1Pg33Zzlu -cXnCAWmfzu0H0wl43TT8qr+ZA3t8w5ZuOUtAUYCJs98jDhQq97ENzxHAfa/b -P/EA89s09VUqg4DPj7uCjjdxYLSs4wUD47WkjOC8+xyQ/eJ9fyAT+S4keOPs -XQ4ca2yse3aegOLZQifpRg6Yki/qKi/gfBXQzSyp58ANtfz7GVkE9OtX1Grf -4YCqjk572EXUd67M4fo6rE9D9IB7NuK9fKmuVS0Hvh3P4FjlECBCvpxqq+GA -3kofDfVLBBTG8rc6V3MgtYThIpiLfmbZl/OpigNlR93SxjGW/WYa6luJ5x8K -b+/JI6DcYJnLj+uYv4W7yP181P/xitVRFRxYcuXvruIC5Pdgnc6/axyw9gy9 -HV+IfvF2vcrZq5iP4g2RQ0U4/53eoyh9hQPvr1SEORajft5lKpeWciDheuA3 -o8sECJsrLtMp4UAtyXaVLSGA3fHIrKEY7yPp3s3G2N78s6N1EQfKJ2PciFIC -tqw/dri9APXBNHCwvYyAy/Wp57bn4/ci7WO3rhAwsVXiXn8uB/IG7ohlXyVA -fWDxd79LuF/Tgobj13D9siSlyWwO+FEGXl7lBBRMHfSMvsiBq0rqi+0qCDjC -31TMn8UBdaXvnTrX//9/xPfM8xx4cjk6U+wGAaNqxWbymRw4smfQYwZj7Wbd -jGvnOKAiKafXX4n68GTJqMFZDoydVJ8PVQQ0/4xwakpDfXH7+/36TcSL/PL7 -68/g+Tvru89Voz7z2y97ncKBJCuLp2E1BCw43nTZPRnv+/TSI49bBMitSVEg -ErHf5S+b19QS4KpSczkwgQPHi/9r06gj4Cu1bNlcHAcMDzW+F7qN6z3m7sWf -5sBAS/DPSYy3rpdzEo7FevnME/9wB/MJOjOSe5IDbxaGrnpcT0DXVftzajEc -uBjW5H+tgYDOGifTmhMc2OnxpSytkQD3HSWU2XEO8Ed9GQy5S8DDg6aFEMnB -d9gD7Z33CPCtFt/pGMGBZc7HjlvdR37/MJD7EM6BzjiRbvUmnGcY6YP7wzhw -rz/ZcOEDAvLyNOvGQzmgrzSQ+xPj5hxWYlQI6gNXRuD9QwLKHgntmxfMASkb -o1PNjwi48WHb2oxADhwoNGBfbUZ+NnYukwvgwGSXcGLaY9Rz5RPS1w6jXmW/ -XRz6hICzAzsXLvfnwKqbkZU7W1BfnvnwPTiI/vFmnoN1K+K/oJDPzo8Dcc3H -fiwFAsb12Avf+nLgnNHrIqGnmK9DsswuHw4cHhV2mcI4oslEh+7NAbnyleIf -n+F87zh/feg+DtxUtH//5DnGb+e8WXtRj0VtyivacD4VXZiSsoeDc8XS6HMv -cN74YHZn8W4OeHpOu4e34/9/YoliTw5E69+y3vWSAAHrb/LaHhzoDnHTW/cK -32PHdrg37OTA58FhVe0O1P+Ab4VrdnBAzTpgiVgn+vVUNPXKlQM2678sncX4 -WK/myh0uHBi8ZWX0tQvxMvg1bXAbB55bZ2x4/hrnKXoZPcCZA011b3yr3xCw -oSHQYc4J/Qj+nbn4lgA9WZu6BEfEs9Gyeye68b0zKK0suoUDSo9txrx7CNAY -mLhQsAn7qe6ovfE/Ak5/axfS3Ih6p+oUZNiL+tZQkn57Awfaj9k+lOnDfuoe -Fbey50D2V0MxLsZdktbF7bYc8JaXDKS/Q/1a89fAdT0Hcr//6O56T8C3mKa2 -gbUcaOAD68YPOM8W+voeseGAvWFGfdFH1MdAnsCsNQfnT1fDxE/43mtNux1v -hXiokWw88hnfq4f+7hOx5IBvzNu1Lv0E7DPZL11gwYEW19R3Fl8IuPmrqltj -FQcO/rYMU/uK/nDiY9ZtM/RnpQmZhQPoh7mjHlamHIhJL3k2ibGf0oDmSxPs -H9fp+Mdv+H7ov/3H1Rj5ZcZZ2TpIgPR1755vK5CP0zWMGzQCqpzG6gIMcR6Y -2vviPEGAfvnWnDkD1Itp8aIoEt83MWdiE/U5sObei6h9FM6v13ODxfQ4YM46 -vceBjv2bjTxQpMMBy3jrTYbf8T28Zpn3Mm0OzAr+tZYdIkB1e8X+Bi3UF+eX -q3kYL/w34W+jyYHTMnk2Q8MELFObF9m5FP1cOcjx7QiuT/pyxl2dAxGaW/bf -H8X5lxtzhVTFeWLcKLZ0DOu/f6AlRIUDZ1eqX0sdR39O+EeylDmwu1mpO+QH -zpcrSZEzShwosFOf7zGBfrQ53lpKkQMZGSbr1/4kILjgU1iZPM5P7ttTtScJ -+O/3yC19OfRj35N94lMEMFfcnmiS4UBk6F0dBsbW6rqm9tJY/7WcFNo04v/y -jvgeSdSvbLfxV7+wnpErevdK4Pm6zZ71vwlYlNCkOyrOgY9tK98WzuC8eWks -NVIM/V2rxTFxFt9vKe2j80QRDyJ7/guYw/x0NrueF+ZAmJWwt9sfnAddj4Li -Ig5sCO+esWIQEPR5tWnlQg6khVdlazIJ+JJdXrtyAfKbm2chysL5fkeNAQig -Pr4rHprF2GDGud5pPgfkHzRd/sZGfG3MsPrMx4H8gPHdLzmITy2froPzOKBZ -u0r9DhfnIb+u/b/+spGPJZMFPAIk+1+xT/PYED+i3J7wF/nl5XFZmMuGXL+m -ioB/+H9bhG0Bmw1rjgefc5tHwt8hlZ+aLDbYkWtjrPlIyC52K6tnsOGs/4ow -LX4SfB4udrf5wwbBDuujYvNJqJHbIdk1y4amV4eP/8H4c6bSO48ZNjzQuZtK -EyDh6G+/YvovNpjUqJZ2CJKgpWZ4OGyaDXslbz1pWEACjEdY8ibZcEZt9/fi -hSSYGK6SPPeTDeIFejIpQiRcbA2flJtgg6+VytaQRSTIndDqrRhng9Abs0wP -YRKUjLY+Mh5jwyXx8PfrREiQh+HKlhE2VL/o09ITJeH2v19FjsNsWNCw57SU -GAklnUE5n76z4Vj+okEOxl1zrhcP0tnw1oLYOCROwpp95Zd+kWzg30V70L0Y -z+vfUxJHsEGmeaHJQwnM1y6mRoTGBoWlexqvSZLgHcFpKfzGBiOXT9YZUiS0 -baB9XDaA9xFOeBspTUL6RY25xi9suCjtfthbhoRE4zaF9f1siFvhuWizLAnl -f1tt335iQ49q2l0TORL4PkiH7fnIBl7V0CFleRL6zkPFyHs2XDkfoS6oQELk -/KcDke/YsOuSCX0SYx8JaWX+PjbQYtVvf1YkYWVWk3fWf2zgitkmPlci4eae -m1VLerB/wrletcokXHcenqt+y4bIVUrr85eQoGMfusXiDRueur83SFAhYZvc -2vIXXWw4tbxNLVCVBL/yHfPcOtnQETeivFONhNfPa/1or9hASNipr1UnQXDH -pjfBL9kgXPVuue5SElpXLLViv2BDhWCprZQGCS0mq+vS2rB+v8q8uRj/tDi3 -TPY53tfwS/KwJgnuKrIV5U/ZkJewveE/LRI0Wz8uMwY29Nf9G25eRsLlP2/q -WlrYcOjkD60b2iSYVsxZOT3B+tRIB2XpkHDs6ra3n5sR3wIxj2J0SRB5/eGg -/yM2fHZaInFQj4SX/9L5Zh8gXjf+Dd2mT0Kusn9FYhMbVB6qfVxtQEIqJ9Bx -8X02rDuc6KC5nIQ3sXl/Su6yoUpBq0XMkITGWHqVfiMbirKFbJgY3/rs5v2w -HutXYNROrSBhUyipuPEOG25OFbm/NSJhlfL5L+/q2NC4f/PkA2MStrTsuOpb -ywadOuuschMSQleaBk3VsKGuNHL1+ZUkPNilZ326mg2MPzNjJ0xJcBM3kxC5 -yYaPcc0VB8zwviau44WVbNDidBxyNidh4mpcp/YNxIuJuvHqVSSMWjXX3atg -w7fRp/yaFnj+IF+BXTkb9g/f+ia2GvsdsCP1v6tsiJ0mnzIxXvakNtr7ChvC -3vrV0i1JeHFPJHyiFPlnv/JqtxXyZWVo6MkSNigrbit5ZE2CkWxfmNBlNlyT -eXj1+hoS7lubR+cXIR65YXVZNiR0pualaBVi/gUxz0+uRb68m85rzMd+1fbR -Dq0j4fB8h9r1edhfvtOCrutJuPYn61X3JTb82xdjusaWhP8ye0a8chCf6R0B -OnYkyFbyif24iPXaHHRTyp6ExxpaFjFZmJ/fgSkexkvpZv4LLyAey2+vHduA -/XplUpyXyQaxNy757x1I2NWg8E4zgw3TlVv+wEbUj4QRicazbHjMLvK+tYkE -Z7mSHevT2fDlgl1P/mYSMneYXe4+wwbQ37A5aQsJAYq3R7xS2fAr70pniCMJ -ylsWWv5IZsPiQvcdu51QH9tssmKS2PCS6T+0YSuuD9o+vjAR8Rr/Pt7YGfu3 -1MoxP54NinNlGku2kSD0inNbK44N4eqv3i7cTsKptTkKd2PZ8K7TOXEG4ysB -nDO2p9jg9sjUhuaC+qBvzu6JQT49iOF77UrCZj+bY97RbDDOUO9uciPB7o/k -1MRxNiz8q1tRvgP1ob0+7FQUG0Y+XUq4sJOE2HvyjEWRbLAgff1PupPw/fqG -pMJjbIimLu3090D+xphL6YSj3l/Xd3LzJGGx3Gjl/aOIryltx7W7sD9ee9Zv -CGUDPeOsq/5uEiqNzw32BbPBwX6Hr9weElyiohJ9g9igOZgSw7+XhCkxJb3p -AMxvmVrxJMZz36I+xB1hgx6l0fbFi4TfHWfOiB1mw5FvF2df7iPhfKPjmpJD -bNhGBKy4603ChTj4o3+QDUr3bodd2U8CTYJ+/9EBNshp+DzO8CEhxvluzGZf -NlTOxIlH+2J9FFbYfdqP/vZbJPDgAdQ7D9fF/t6I95GF3S5+mO+4EjnrxYYb -JRFWNgdRDx6nP0jey4YnX7ff0TtEguWtwhypPYjP0NLlcv6Ip6ubj13bhfdX -3dfIfxj1IC7fw9gT+3s/a/0UxjsNEtaBOxv2/TX/9PUI4iljvuG2neiPz12O -dwSQsDtFVe2bGxuyXxMq9wNJGGN3ywa7oh59H357LYiEsvdSkpztmO8nvzMX -gkkY/zMicW4bGzxDd206FYL6vWmrrKIz+llku8SRUBJqb9mo3nRCfDbeonYe -JaFwUbOBhSP635xIi20YCcKbwOblZjZsWDByZUU4CfMdnXa6b8J+19tkKB9D -PDH3Hv3ugH7XKhEvFEHCEsupCxEb8H5sn1NzGL/6xX+X3x75Y2yUQEUi3xbl -fc22ZUOtQez5nigS8g5VCC1dz4Y9TZsrnhzHfH4aWNWvZQPnct6z6hMkfElf -HrbOhg2vq/xG86MRjyoVNd3WqKc37sqnxJCgknN+bJ8V+tP+M9vDT5IQ3z22 -/OdqNkxdG8jyPkVC8aP7kbEW6L+rH3x2ikV+W009FVnFhpOTcvqWp0mwt8yV -vGzGhrYsbrJ2HM4HJeX++qao36NHhqXjSWjfqvD0kQkb1Nq8XPkSSJAwmVHZ -Yox6MvH5xSTGoSYmCZ9XoD6ZDK4fSCThvfl/w4cNEU/7Qto7k5BP2t2uDAM2 -pFqnuT1IRj0d1312Rp8NukXLR6+nYD2DB83k9Niw3c77TE4qCYPZE7U3dJCf -81UME86QwNzgqmeujfW6GTAQkobfQ4RrXmihn/3dkLs3HfV3TtZopyYbUvru -7NxyFu/bFv6QvpQNW6drVCzOoR4+V94Yoc4GppbFlFYG1v+L5Gd+NTbstnHv -lMpE/M+4huaoIN4WLKidd56EGWa/kMYSNrC2OhZMYlzYV1XVoMSG9YMaGQMX -SDAIfORoq8iGnWkX07qySNCuFv39nzwbAmRzMx9exHkr5kqpjxwbutxXFFdm -47zTdtR5WoYNvbI+9bk56B/HTvElSLNhVkO/J+kSCV5hTx8tlmLDXcfzf8Jy -SVCvXHP8igTq+55z2vvz0M/+/lxltJgNp9U19jvnkyDm18dpFWPDZID7VesC -9MfWkRfbRNnQJ7BsXK+QhLMcg5xBYdRnyF6jUIT+LlDqF7oI/cC/pGBBMQmL -2lZb/l2IfOl04MxiPKnBk7qwgA3j9y8cpl8moUh8dFpFkA187BMDvSUkDIcx -+urms0H+IP+ep6UkfDTTe2TDz4bk5yuI22UkhDmcqng7jw336LzQ0is4b5z/ -kb3vHwuM88MWZF4l4QzrRMpPHgvO30yrPHkN+Rmheuo0lwVRY/bbA8rR/0YG -osQ4LLiuUzlvVwUJ62wbIktZLJgzudO88ToJvKCiE4ZMFth+2n/a/AYJVTsu -xbX8YUHG8MPNWpXoF99LzjrPseDzisdLpKuQH4vuFX6bYYFr/GEW300SDO98 -vBXymwXaVa2D0xizn/G38aZZcDXq2RtaNfLNcNXg+SkWqDeHtXXXkOBEC+Wp -TLJAZsPb5y23SMh4XqN+e4IFLOpTV20t7vdiZNPaHyyI8M/+erkO/fQ/zYju -MRZolrFnz91GPHzwKvceZUH3bhn5k3fQv1oufpgcZoFjAM02oJ6E1dEtovFD -LDhe4hW1qwH9ZJrYtPg7C9zbMhs2NaKeyrDOXKFYMFMX9mfVXZxHeud3GZEs -CFu+aIP2PRL0Zf5JPKWxQHSxZ7HsfRLmdY3udRlkwULtvSyBJhLSiNYaYoAF -nbZyvrMYuzjE88K+sqB15dle+gMSGEM6O/m+sCC8857ju4fIn/qm29mfWXDy -Y9Gb549IoGfriWl8YkGavqVnYzPG0XFHGz+wwDv/0vi1x6jnO+5+sHvPgo/j -1Weyn6D/iL9c966PBe+YsQaJLej3xffq/Hrx/2yx/rBW7D89Vm22hwWJqV5Z -PoD/f16Sl9LNgqDKwG0uT3F+CcgRl33LAuf21XLrn+H7Jelrxo3XLDh999Ww -0XP0Q+k/oqu6WLDPTuGpWhvqjQiR/bKDBX72BuWLXyBedxUoeb5igXw63/l/ -GIuPK1aNtGM/qcsJU+0kdNw+ZBH9ggXLNTmxtJck9OdFvxZqY8F8FfWknlck -hFxw8St6xoLkayIXoQPfE2k//uo9ZUFJUmvlnU6cf8M3lTW3smB7juXLK10k -6FkdsHVqYUFT+enJrNcY91mOfn3Mgn+pGWoJb0jo1n2TE9zMgsPiB3eHvcXz -DeVteQ9Z4CAuVOLTTcLAfwoz5x/g+buiR1x6kF98PTdVm1ig0nrf2vY/vF+9 -xYE791igI/2s0KSXhGdvXdTW32XBc73Lf5f24Xy8WYH4r4EFd95vCJF6h/OA -ZOZ133oWNA63fud/T0KTYk3w79t4v5XCh2YwDncJW51cx4J7GTqT9A8knKsc -WChTy4LbL+QT3n8koUD055frNSx4U/9Vqf0TCeYRVxrMq1lgpRnZev8zCYqv -f2W8rGLB5ikysLIf5xdBKsCzEusxuky94AsJXMlQp9HreD9y/WDaVxLeUZeM -YyqQD3dMb0QP4HxzxFVRuJwFYlr/IgO+IZ9yrwtevor6IHPdec8g+qNnxpzB -FRY47dA0cqKhX1XMH3tSygLL+6cV1xDYnwARwrmEBZTYPVFDEvMvvvplsJgF -G01eCalSJPzRffb5aBEL4mYeiC2mY/0Eg77MK2RBnW6a8rzvOI9oltCy81kg -dcN85S+M9xxzG9XIw36teeFKDeG8PpQxe/cSC/pfmJ58N0wCEbpRwCEH+yGZ -euvFCAmS8xLkP15kwZ4/D4fuj5KwI2PVisNZeP8t/+lWjaE/8x/ZzDzPAp/B -15GF46jvu6T8z2ayoPpcbefZH/g+jzdNU8pgAVMjQufUBPp1YOetW2dZsC5W -/ULwT3x/C/e9W5POgvSg+7x9kyQ0uDn9e3sG9a995fHtUyRsXGW6Yn8q9s+n -iLF+GvOvSvOZTmaBtOR44spf+J4o2pifmMSC4Nplslq/STjyL6RHKpEFJkLO -DbIzqB+vOSLX41kwwvLxWDiLfvPrp5N5HAv0PQ8IsDAm/eyyXsZiveZcH4/P -4Xwlx/jgeQrzu2V8auAPCVLcRepjMajfzv/suxkkHBSKCTkZjfdpbJV9ykR/ -W2HXKnKCBdfqj043sJA/B/ykSqNYEKki/b6CTcKPgi8BKyJZ4NJT/TSPg37z -7MYLOIZ6U2LWlMbFef79cw3XcBZs2XvvXgwP+99mlEIdRfxQek+C/iK+ksZH -I0JZcHZh/pt9/0i4s+CXi2AICxaXs4a2z6Ogxc72SX4QC/anuwvZ8VGw2aBf -XzeQBabZNaZm/BSk3msqeXQE9egS67D2fAoe9X2SdDrMgvZD9jcUBChYe9Lq -3MAhFgTQ0n8IC1KQcGVAMPQgCzw/dVnxMP636knKvwPIJy3hS1MLKHA2/7Qg -2xf1tGzTLLmQAtEsg0wNH8T/khTv90IUMFc/kLnnjfc//rT35SIKvuhEX3XY -x4LdSTznR8IUnHcJNvq0F/GgsObdLREK+G9mPzuyB/1I8rRvmSgFlprDHuxd -LBDY8Ix5UYwCxweHpzI8WcBIW1SULE6B526ZDBUPFuy672F3fDEFpX/H9O7s -ZIHq9erZIxIU+JcMv16/A++/fH79Xkm8n65QeJ8rC5ZqH4zcJkXB/IKtigdd -WHA34K2trTQFXYMNL+a24f161imYyVAwN2sekebMgqNGTxjashTo9XzUUtyK -/nPAnlCUo0DNL6e/xpEF9PUfe0XlKaio9M9eswX1uCLqzT+MM7Jct3ZvYsGt -Axr//VagoF3aVdhnI+q/57eBIUUKduj5vf61Aeu1p+r3ZyUKNrxMzUq2Z8EB -h0TJN8oUNBFNHrJ2LAiZDrKEJRTQQmfVq9azgGd2JLBRhYKFh9dMrl7Hgk0T -x6/fUKUgCTJbu2xYkD1VOFKoRsG9UHq21xrUD4Ue00x1CpYErT0yaYX6uE7p -bPxSCuxuXbZNsES9X3dq5JgGBa3LWCpSqxF/v35v89fE7707eRWrWHB/RRLs -1sJ8rtfSzM1x/149S+dlFPjl/33xyhT3uzv+eL02BXdKN9ftXon+c6d9k5kO -Bfsa0gt/GLPgYenjAR1dCkI6npw5bcSCZ7vfnlTWw/r2UycWr2DBzhbO0sX6 -FMh+YwZdW47fyzf18Rtgfzq5B0wNsJ7fGzL+/D/Om/Bq12PBTS/rbePLKTiy -+uVuT10WKA5/Vxw0pKCkJm33mDbOO3vvTPauoECSvsLr1DIWCBZcftNuRMG2 -/ke+Ylo4v0TU3H1kTMFYinbgFQ2cF94OVNSZUJD57ViUyVIW6J02Lb22koLx -LyXJbWos2Lv/zpU8Uwr+iyzPdVdlwdNtrrfOmlEgVZF4c2QJzgfaSk9Pm1NQ -vG81xCjj/s+EB8NXUbC/5MVnESWcj7iagv4WFAR4as2VKqAfNvib71lNwdsz -7jLG8qinT96FbrOk4KGGx6rnsiyYYAY12Fnhek2tvTtlWPDWzpi3ypoCgcSW -pGEpnGeilroZrKFA0Ey9LloS6xuyvl7NBvFr5vhFWIIFFxdckJdZS8HTU5bC -peK4/xKRdKF1FETzTawxEmPBqoyHfDyMT7fuP/ZMBOtlVJDyaz0FMbdyanYI -I76+V0kM21Kw9FnS0JAQCy6l/7jxxY4Cc6ahZvRC1J8/Bzb02FNwbkuOn/AC -1AuRxRNtGyj4W1dXWSLAgg8V0yUPHShIU42bWDGfBadKhDzrNlKgnctn/oyP -BYZ9nkrlmyigL1yVsGMe5reUNpy/mQLymGL30F8mOB658iRjCwVbu6tVo3lM -uJtUdDnBkQJf6aFwYS4Tlm/rTo5yoiDYuvNVCZsJY1VrowK3UvBs3U51IxYT -LEJ+HN3vTMEbxZRTzxhMiDv1IWLnNsRPm0f/jj+4vp6XsGU7BVNmXZbDs0z4 -OnqwYK0L8jlgoCR6hgna80UfmLqi/uzO4Bf5zYS3AzM0XTcKfv59H1g6zYSS -HSpSqjsoYO948MFoigmRDmedpXdSsNzN2P75Tybsubg6R8gd+TFjc3fnBBM8 -pJYTPIzPmAwuGxlnQm71QYsZDwr7tPhyzBgTnMzoBaOeFCQGd0uJjjLhw8Wb -fIO7KDi+T+l82TAT8krvR77bTUHWu+lFJkNMELIU+dWxhwJWx/azbXQmtNnW -HG/dSwHDwlzEg8L75F8SvOdFQZ/SlaxRAveT7Sit3kfB96AMuVM0Jur15nVX -vCkoWsa8IjbIBEUJufHc/Yg3O7rB1QEm/NhsUnbOB/HzxLF55VcmbNC9vDfB -F/0ka7lTez8T9p7fqXH8AAX5984Men5mQpin9+8gPwp26XhGjn9kwudDj177 -HsT/qcuipz8wYWGh/23PQxToEG5Vi98zIeGtf7GzPwWvlU9uKO9jwreh5iz7 -w8j/i4u/m/Uyoe+p3wXLIxT8spA886qHCbprD+QbBeD9xE/r7+lmQpPNg6pl -gRQcEnftnXjDhONX/J4rB1EgbZpxMv41E47aHxmWDKYg+4SetlQXE54ueikt -FEKB+Ce999c7mFDWd9rxL8btW8+lWLxiwq64i+dmQyngvtts0dXOhK0//74b -P4r/H/Gb8HrBBMa/Tm0yjAIPgc8VU8+ZQOT/TvoUjn50/fq+pGeIz5yY0bfH -8H72rxRxEADt9/s9X0RQoPrN5nNVKxOE11T2NEcivkIWFFm1YL9vObs2RKHf -Tal6vX3MhEF+z4Gq4xQc805d6tOMeNRsCys7QYHuA4ux3w+ZEDiVI54XjXo0 -a3o39QET3mx8dT8jBvVKOjpeoYkJu0V8/ZNOIj7F+bfduseEE6q+6jGnsH5U -j+rau0y47dtBPxpLQW4G7dd/DYinpoJ6/9MUfBAweuVXz4SBvz1n9sVR0Ob4 -pOzPbeTfkmP+O+MpiNydGn22DvObjtvulID9MUzfuaSWCTLeDFu7RMTXs+cr -79QwIXjjgI1lEgU/pE2l7aoxn4wV9sbJFFSpfZp7X8WECokpV50UCvaQtV8O -VzKB16QaqJqK/XNvfMa+zoSdvq0ZsmcoMIseqjlfwQSN391Nomk4j2zckK9e -zoRZJ9cf89NRXx6/Sb57lQkhrhv1OBiLfYyN2HgF7zt0O+z3WQp4F90O9Zci -Psczno2doyBizGl3cAkTMuwHlckM9L8B/+3/irG+7yrjP2ei3h66timnCPka -NzzRc56CRcks22WFTLDSLvN7dYGCAeOQtQ/zmfD4dje9NQvxFcxe45THhFWc -6JCmi1h/kys2g5eYoDxVOu92Nt43bvf68BzkT8ja0hs5FGhs13EQyGbCtr17 -7UsvUWB7bcHWgiwmTBTP/c7NpaA6fG6n/gUmXJIQr83MQ763/Nrfkon5X70R -mpJPwbtEVrBLBhOyDVusYguw/4+FY+lnmfCrxF0ishD154jm+ePpTPDqOzoV -VETBpjO2VxelIZ8bRT/7FeP5kn73S1KZEK5u2LX3MgXUgjNvjFKY0M3X176j -BPFx8ObQ8yQm1Ftxu5xKKWjW7ZjnkciEuju1/fZlOB9up6uMxeN6h++/rK9Q -EPiJsSY2jgnNRIW02VUKfFrmey8+zYTD/hNrl1+jwPifQGL5KSb4PW6N0CpH -vylm3TA/ifV7ody4pIKCkUzam45oJpw/LMCWuU6B4ft7c3tPMGHB2RgnsRvY -z9AT6lNRTIgWj60UrMR8di1zTopkgt03UZG/GN+/+OSUbAQTaF+Wx/ypQr2V -ta69Gc6ELxMD05M3KbhELxu0DsPvTJVjI9UUfGINSfWEMqH6+zSXVkPBtLv4 -lgMhTBDL98j+fAvnqTnZxLkg5Pfv7Ua9tRTc+sRuTg/E+5PfPnbWYb6s5j/K -AZj/Jr7057cpWLV7p9mdw0xwFnls9/gOBRZzLyLs/JmwXlp04b161NPXwvc/ -HGRCucPc+9oGjL9oMo/4MWE6/UTtjUbEo7q4DdeXCQ1tl86X3UW+X36VnOXD -hKQBx+iCexSMbtn2RmM/EzSbS4Mv3sf66F+Va9qH9bU/H3i2Ce9n9fjAFi8m -GOxXOpb0AP0+prR+YA/yfdYh+dRDnA+GN8wL2/1//EuURT6ioPv0Hdf5u7C+ -urHPQ5qxn+u+Xs/3wP7lpk/7P6bARf8lS88d9VbeQtfnCfrzmlCXlh1MaClM -D9jdQgER0XvTxY0Jgv9O33NrRf3+7yf/dxfMf6XCoq2A/N7+zPvEdiZsVtp1 -2OEpBYq/tjwR3saEF2Vre9Y+o2Dd3VTlsq1Y/6o361c/x/7nHos1cWLC1JL5 -T0zaKPiYK057sQX1aZhab/CCgskGT/tdm5kg+jO4R6sd8fDDqfrHRtRLhfLD -qi8pUFk3JhHvgPu7JC9SeIXf6wxPSm1A/4+TvC/Zgf02lR+6YccE2wznQJFO -nGf6KlwtbZlwxHu1nmAX8iWtF96sY4Ic2ffrL8aBO8qMfNYyQYGr8oL5Gu9n -KnRtZg0TthcqXf39Bv1YV0wmzZoJD8s6UyfeUhBkfCtdyQr7wTSIGu5G/3Ik -/tatZkLKBbtQogffN8drjttaMMHFUTz8y38U9N5dOP3eHP1L9uLp972Iv3l/ -Ao+YMeHk545L3X0UpO+LGOGsZELH6Ud3O95RMNxx+lCWCfrb5IFvz99TcNBO -ekjDGPEp81Ki5QMFBzpN/JtWoF59oTs/+EiBw75Po1sMmfBKtyW34RPmy+ML -+WbABJNxt6FbnymIqr7zO0yfCfeEKtdV9lPQ6DMYI6CHeAl9UHH1C/JdI5O/ -UAf7LZguefkrBQummjINtJlAPlQ4mzeAfG73UgAtJuw4Fih88RsFHddP3XDT -xPlnSVzeuUHE73lJs+GliLfynfqpNMRj3JIXMerYr8nJjngC7xNd7C6mhnr6 -wzn8JEmBycmzo1dVkH8pxzSjKApuJo/Emi3B+aViH+0onYLC3EapDiWcX8wl -bgR+Rz+qHa3eq4j7aWVEHhrC+eZ1mt2UPBMy9/Y4+wxjP3+dH0iSY0L+y2/G -e0coqFRlnZCTRf9xeaDiMYr1d30lUyONejzkJeM6hvNjxp9GGykmHAzvkdk6 -jvx9neLWK4HzFG2x2qYf+P6SDJs5uJgJ15TUTO0m/j9/NeUxxZigIvHXxeYn -BS/vuFtmiuI8easuevUk+pXQ1kE1ESZQn1fUmE5R8MS/IOXuIiYcS0kaWjGN -+HptvnyTEBNOFVfr6//C98eqZR++LGCCz8IbMct+UxBb5RcfKsiEogdRfeoz -WH+1KX1+AfTbgiXmS2bxvVra/imPH+eT3OJr8nPI36VDqXp8yLfiaXnpP6gP -dU7mLf8Y4JmvVijOoODyOsaQy18GxETpaggzKTDqHyr4zmXAXS3RJkEW8vuk -rFM0hwG62a938LFxvtNI+SfCZsCCm4c5XIwt3xndv8JkwDUPspbJQTxnyAWb -Mhjgc87yyCwX/X3rKq1Xcwx4ZhxuOM3D9XLnv+2ZZcAei7PcH38pqB9TKJz8 -zYDPGUkfRv7h++vlpx1Jvxgwb4n3Q/o8OtjXvpKQm2bAvQ9LbtD46FBdMtxd -PckAqhIuf+XHuGDlBZufeP7pTSWf5tOhvrR6W+8PBkhuvl/5ToAORne2SBwa -Z8DR2UWPewTpUPxG4h1zlAEK4Rv7Xy+gw5E/3PzMEQaE1QbxdSykg4KhqJf6 -MAME8k6avhCig0H4Go173xkQqBh59OkiOui0ZYxtojPAW3f3/SfCdCjQZDZ8 -JRlQV68v+EiEDgsvxZ86SjDA6tqY931ROiySUt84n8YAwbH85w1idDC59kmy -4BsDlp4wNb4tTgcl2+uD+gMMaLF6WlWzmA4HfifXtn7B75pr9aok6FB1P/KU -Wz8DbqndvlchSYesjEin4U8M6FOTdLwqRYdnkYlLTn5kgKr0kbESaTpMhRdN -in1ggPXY3ZwiGTq0JTc/u/aOAWPZcw75svi9hsoz72MAm2s4/5Ic5je6OKjz -PwbsV/LuypKng+ma9bb7evD8L2cuZyrg+qpwhV9vsZ/Lq4+fVaRDrkH5dMob -Bjjzvdx7RokOxzt6OhVeM8B2y6BjsjIdtOOZFbWdDCib/W2fsIQOYS5K8es7 -GDAyI7DptAodltqY7n3/EvFlIbvzpCodxDfarj7SjnG9VtAJNTrMC7aT47Yx -oH67WWakOh0+3DGby3rOgCxBhwfhS+ngKyX3QfMZAza2eU6EatAhIff7/QeA -+8eEGARr0kHKoqzAqRXPV0qLDNCiwxx7/UnaEwbcyb/xyn8ZHUTJrn0RjxkQ -QevUOqhNB+txS7uFzQzwHZ7N8NWhwzH5TJ3LDxF/pTo8b13MNwDEjB4wgDV7 -INpLjw7ZZO/s8/sMmE9U8Xbr02FXwrMBj3tYz+2MTE8DOgxuzGwfb2TAy1Vu -2u7L6SC5yvhOXAOed+ZRp5shHUa33SqSqmeAssmKEy4r6OCdw0mpvM0Ahm7D -im1GdAjhUwu3qkN++thPOxnTQaxU2rv7FgOudg493mJChw3+n5wO1DBgl2dR -9qaVmI/3Eas/Nxkgw/UOdzClQ1DqC71zVQw4U2Ox196MDj7fxhRVKxkQ5a61 -3dacDrP+H4UbrzPgzdQy53Wr6LBCM53rUMGA5GAbdxsLOshK8yb7rzHgdmvQ -YevVdLhnYUqFXMX1/Q3JlpZ0UMzR/ch3hQGa9RI1FlZ02Kr5tSuvFM9fdfaL -uTUd/CY2P9UrQTx7L5E1W0OHgMmjTS3FyA+V17tX2tAhSn9bnWsRA7L9828a -r6VDzjXy+lABAzQM4/mM1tGhf6duaUw+A9YfOnPQcD0d9jmo54vlMaCfv67X -wJYOqyJfZV27xIA/rJnN+nZ0iKaUz5nn4Hlrvbp07emwLls5tfMiA0Lah911 -NtChLPFFwr4sBuxMyv2xzIEOD+/JnP51ngHfA/wztDbS4YqB8MnUTAaUh+0z -19xEh4iR8hOKGQwwzDg5tnQzHVzHBqLqzuJ9brdWqW+hg8vKpkjbdAbUdOuH -qTnSIa9teeSHMwxwIcFO1YkOq8vWRgakMsDya5yaylY67G0bi+QlMyCx4ciC -Jc50UDZbfjw7iQF7d8cxlLbh+l/zo5clYv06nv5W3E6Hn9zQk4/iUb9mjJkK -Lqh/nkGnneMY0NvTs1DBlQ53+BgJZCwDfu4oWyrvhvXhLU6NOsUA2ahSB7kd -WH+ne2cXncT99LojZHfSYWyCvFAazYDXh0xqZdxRn+j5uSYnGGC+tGNS2oMO -Qyt6i9ujGODvesla2hPr0Xvh2u5I7M/EpRypXXRwe/P25s9jDGCOds1I7kb9 -U8+sTwxHvK+x3C+5hw7m3a8eyoYxQJxGey+xlw5XP8U9qw5FfLXDTgkvOiTb -3OmyCUF9H+kfXLyPDpx5nu97gxjw19ooYrE3HZZrRg4eCmSA1KOnkov3Ix5v -CIyxjjBgsUdWs7gPHVTSF8yeP8wAfuGSEHFf1Oe3J/4t9cf/34zoix/Aekd5 -iDQdRLxfivgt5vc/iqw7nqr3j0cZFSpUZkZWqfhqK0W2NCSVhBQNUYqIEhIh -I5FSRkKiUkpF4S2zpdIQpdA99xxldSdl/Z7fn/fl3vM8n/fnvc4L8feI67Pt -9g6iZLtpnbQnC1t5jlo/PAYhPX3TdWkvFs68Pvzfsd3E30qvR0vvI7+fOrBG -3H0QV1YtC5LeT/z14Qf7q66DMMiafkz6AAsZ9bNdFu0aBD4aBkkfJH63ruJg -zc5BrPh0OVram/inftWJbc6DKLhsdV36EAvvw5Vjfm8n/Jm1pk7ah4Ugiw+X -T28j+NiEcaV9WTAM6iyQdRpEuvZUfZnDLIgpWZTddCT+WfDTV+YI2c+i4RfG -WwaRUC/+TMaPBZPSiV/fbiZ6Cz4hO+0oC0/uuvTs2UT4/nRFwLRjhP/KIqPC -DYMwirTpnObPwrkxjsx5+0Ecen1r2/QAsv/tCzTU1g8iMH7nl+nHWcjTK178 -0HYQx+C2Z0YgCw+OHreythlEpuvjwRlBRN9Lwp2/WRF/3b3nsuwJFj75vfE5 -Ykn0V73XTC6YhQ69HeETLQbRdeKZQC6EBSNXjdTL6wYxEuFdKn+S5IWMzi19 -M+LHn4+GzjzFwvk1nhVYS84//GHzrFAWgvva3juuGUSiZcKi2adZiFCJYjOr -SV465c5SCGMh4c3efydXDSLj8szJiuHk92P+06YbD+K3OFtMKYKF/Q8fauWt -IH0lU1Za+QzBr1fdeMVysm+n7DkqkSzYFpZverN0ECrz441Vz7Iwu/ek1+4l -xE9nft09J4qF9Y+8TvKNBqEmG5esFk3uK3Y8Oea/QaxVznyjfo6FXT8KClQM -ib715WU1Y1joWTtSeX/RIPau+eMxN5YFM32/TxYLBxGz0ahCK47wNUekp1Wf -PH/7N3Wd8wT/G8UivvNJHm/tTdKNJ/5veFxBZN4gbE33TZ6XQPhp52hwSZfk -6Wy7hPmJLPzkWlnN0yF58vmK8oIkFu7M2+haqUXyOsCxdOEF4r8D+wIc5pLP -3JDtBsksVFomnWdrDOKP3XSx/y4SP11QfyNYnejphHylUQoLaXniT6XVSP4H -x4QtSWXhTbFDc47qIL5Z+9ovu8TC6/V53UtVCH+7aueuSGPB+NTI+EulQTw1 -SxAzvszCM9Mds90UB9Hr9Yqz6goLg+mPFnFnEz+1O9Vtkk72ESNrFT2L+EFP -7q+1V0l+S/u6Ks0cxH7rdQKzayyo6NUGFMsNIt95x1SLDOJfX2Xj18kOokKN -0bfKJPmitTO3ZfogXqYNbLPJIvoWv/zUexrRc8WxeLtsFjrDG5vHpAl/4o++ -sb9O/Cn1V/dFqUGUi/fN2pRD+tC64XGdqcTfdOlDDjeI38T9m/VsMuFvj+tr -x1wW7HzZCzdJEr1tcVq6LY8FuZ5yC5b4IMx3NBXuyCf8mRToEiQ2CMORBj2X -m0RP5bOPTZ00iB+rzB+4FpA8npoZky06iKMzza123yL96u/E7MUig5h/rpHa -U0j8IsruUeO4EAeTmhO8iliYU3z4tcuYEFkL9pgduE32E3C4a2BEiG2uIePe -d1jwbrMejBwWwlhd+YXvXZKH7UNSCv+EmBZgec2vmIXR0DDNO0NC3N/+74T/ -PRa8qtqWmw4KMfOVsUfgfRa+ZYpt+CQQwv6VxNbgEhYuqIjsOcAXImL7HodT -D1h4ZPwqcIQrxIjfeuewh6S/DLmdv8ARQmVW3aEzpSz0O1Vma/0RYodVU0zU -IxZsHFkPy/qFWCdy4H7MYxau/HnbaN8nRLzVpZ/nn7DAWXj6W2cPed7MbWpJ -ZQSvqQP9Ab+FCDxye9/FchbGYtREJ/8SQrAlrezSUzLvTemZmYwQydWzZ6Y/ -I/vwfKL7Hy3EqTLDUxkVLNyoUTKup4QYM/7Zl13JQkn1UntnlhDhNgu9c6sI -vm7ibn1d5HOXLOcmWHiYEXckolOIdPHUM0XVBL+Q6vCZHeTvZSVzip+zUD+Y -n1z4XQjxIZ/6khoWUuRX3jBpF5L3hobAR7Us5L8PetD8VYhbc6uNyuvI9/V3 -13i1CcHM2Pm3op7gpf2n+e8XISZdvPSquoH08SrtroQWIbbn+9+sayR48ccG -ND4LYbdBEP/iBcnDl8Fjjz4Kcei88uk3L8nfV6VK2X0QYosHE/z+FQsn19sr -/XgvxPP3zuGfXhM9D2brHntH8Pjmn9z6hoVy04Ql4m+FKI1cdre9ifQdbVmz -q2+EWPr6xsfOt6SP5S/YsOi1EMtKyyex37Hg/vzrjpqXQoianTL99Z6FTUFK -ntteCNHn3xPd10z6T+Ovw78bhDiySbKV84GFs/etgk/XC6Hc8nGx8CO5r5FB -pGydENembLr67xPRj31O/M0acv5AyNTxz+T9aOzqJePnQtjG7Dg38QvpM9ZK -WW9B+PqlW1qylbyv6Kje3FMlRH/HgmypNhbmXs25K6wgfMnXXjXjKwvtN/JL -454JkTP/U9fMb+R9Za3uszlPyX38V6YotRP9HtZ6/qBMCP3IbZvUvpP8N7zW -YPVECH/XBbO0fpD+Hhn7+usjIf6KVTB6HaRP7+t7d7hUiAvh4nULO1nQaqv7 -KPpQCJ1mqdtGXcRPvkp/SSsRAsPvMpb/JHgfaGibf1+I05Mc0lezWFgZ2fut -qliIqwMXrptRpP/NO/19y10hDj+/8MCKTfLGOfgHfZvo9bTDu/U0CzWy7T9C -ioSYo/9JuJlhgeeY90OmUAi9N4rztnWT/q78/vuNAiEc983d5/KLBauDru3L -bgoRNMa5u/s3yQNju6+v8oRISo+esK+HvH8kpX5xyxWicPVP10O9LDz2Mv7E -zSH66BVr8Osj/KpY+T76uhAV97grAvuJfpMvvFbKFsIjrvDxyQGiL2p1Q3Gm -ELvP6K+N+MPCmoerq9dlCLE1M/hDNIf0j5GE8parQvA6U/3iucQvqhY98E4X -QsLxtOJFHukbQypFY5eJH/xd1nSZz0LYrW05F9OEcP+K85kCFnzetF3WuSRE -3bCiU66Q8HdPXsLTFCF691rNKxwk/c679MzGi2RfilaS94ZY+N4pEfTzghBD -Gkrc0r8sNNdleAcmCfHlbC399B9535E/6jolkezTxpyuHmYht+nMpqx4gof/ -1T8NI+R9rf+dqdF5ISZLvxJrGmVBJHDbfw2xQrQqf9T+OEb46yGvsTOG6LXg -8ea2cbLPYonp/dFCdD06Ht0xgcJLl0VjEVFCpGya0cgWoSC3P7pn5lniTyfj -ZHtFKax7K91aeEYIB7OfB7gTKSxNqqk1iSD7uaX4amgShaqCG8XNYUKUl/23 -bFyMwt2Zd654nRaCCta/KyZB4XlLe8TfU0L08CQMpCQpPOo28k44KcTnRS+e -yU6m8J/tHQeNECEajHwdFadQ6BBYrXh0gvBVYkigNpXC9t4Jc2yDhGh6fDBX -R4rC3Pmtot+PC1FmXeuyUJrC+zuvaL8AIaxrxdSWyFD4erTl5SR/gq+RUZ/x -NAqFgX9vXzlK+J1p22A2nUJx2X8JC/wIH6U3FNnMoGC2NNS3+rAQ8udN0jfJ -kvv9arPf6iuEqrpKyjY5Co4fLfW7Dwnh9/nXZVd5Ck4DVZKnvMm+SwsKPGdS -4Bqbs6cdFMKpYVvNoVkUNjx8X527n+xPfog5NpvCWSeva8v3ETwL4xVCFAg+ -c8YDXnsKYZA4c2uEIoVXUzM2uO8lefYm5WqMEoUuRWNtnocQLw9L9iYpU2iz -/DIcvZv43ekAm8sqFHLijzYruZP5xdvuZalSmNEjfrPYVYg/05dr3pxD4Z/r -peB1u4R4W5CUfVeNguZPJfuWnUI0f2bpPlKnYBlwSdXbWYjU/CXPKjQoyMyY -2D+6neCrEelcp0nwfeRRmbyN5J/Te9E3cymout47r+0kxLid6pOPWhTOif3e -Ue5I9CF9KPCbNgV20TTtDVuEsCx8asrSoVBkO+dP52bir3rSs3p0KZj/kHsa -sEmIeWl7hVw9CtO8+s9IbiT8Havq+jePwq6vt+0y7IUY9VFvFdWncNzYbobh -eiE0+2LapiygkBbR2FJrS/gR95ctu5DC79sa17bbEP44+I8qLaJw5dE2tx4r -kh8bB9XmGpD9XfVUD7Mkn+OjN+gbUrDfbtsla0H0q6AZvfg/Cu6MaM7NdUK0 -jb56ucqIQqdVkruxmRCL7c4oWCwmvz/aq/J2rRC5k22P2S+hULZXoc1jjRCv -bdS/bF1K4YnCjFTBaiGOy0+2dl1GISD+04bYVcQfgyfVeC2ncOPpbnFVYyHY -Z+VsDq+g0Jf1sPL+CiFqzZe3Ba6k0L/ktb/FcnK/Wr/jYcYUlp/I12tdKsSL -6c9VYlZRsPM0bT+0RIiilfPeXVhNIYOfnjhuRPS2vig+3YTgoXV/bcp/Qnxy -tHS6sYZCykD4gI6hEFG7h/Vur6VAb56S9XSREDvDmiRKTQm/zO3Wb1xI9FtV -wakwoxBau2awS1+IM/qv6Pp1hB+v2TnH5wsh91lIvzWn8MHJZP3keUI4vzTn -frEg87iZ8zJ0SZ7NeiDZZUkhoVOQbqhD7vd63fzfVhQiW7asrdMieAqF23jW -FPxW7WBtnyvEhIJ3iSM2FPSmTIru0RCC+7upWcyOQojJVt0wddIXmrlq09ZT -mPPeqlFWTYhF3muDFewp1Fe0ed1UFeJhbel3jQ0U5MemTDRWESK0z3GD/kYK -VxNbs5qUCN+Fqi+WbKLw84DpSg9FIRIH5Dau2UzB7ZzpB/5sch69rMPagUI4 -1XIwZhbhS++5kw5bKGSHiExQmSmE1AzJuS6OFKQtqlLvyQlxfm/ZZ8+tFMRW -TdUzlyXz89NTDjtRgDNd3jKd3Pfj3V0nthG+Xt1g5z2N6G+GwPDMdqJ/4Zq2 -UWni71V+0+N3UIg5WLYvWYrsu0dj+JIzRd6HnnC1phI/uDWZk72TwvkTq0LL -JgvxU3wet9CFQo2kmbi95P/xjRh7uIvcN60hoUNciNW/ZGdVuVK4oPxKzl+M -+EdSx4oXbhTSk22viE8Sol6pe98Hdwqm3HXKV0UJfhkLr7fvJuctL81YKEL0 -pl1C0R4UbjpfU3k+LsDyRv8lnD3ETx2FV7eOCdCXEpg0vJfCNdXa2d0jAohm -PhWIeVGoKxm/eHJYADu+6f7p+ygoTS6SmvZPgPu3p1BK+yl8Uak+e2NIAOvP -Cj7aB4hf0GuHlw4KsDjSZ9zgIAUFN12/lwIByhrFs4y9if+HBrB28QVY+ajb -2vIQBeU12k5/uAIYucmNbvKhMP3K8vpIjgBrPp+r3OlL+Hm2cPHsPwLMWmgd -63WYgsHIietF/QKcO7Flt98RCtRg7tQ1fQJEvypad9KP6NtP73hzjwCayxwM -o49SGHOd9N3ztwAn31rNSz5G8Ctfaj7ULcCPm/ELM/wpnDr5tOA8I8DtD3NN -CgIogtuFKWq0ALu9pHc8OE5hqvzjQw8oAa4dsztdGUjB5Zvea0uWALIy7fde -BFHY/ZvWa+sSIGN9be/HExSsV/af9ekUQHetyNKOYHLf6tUd4z8EaBhJi/kd -QkEr6P3ylO8CZF6JYgQnKczfVpCo0y7AP523DiKhBD8nsMq/CmBScbRR6jQF -/qFZyze0CTDgc9RGIYyC18WimM4vAtzY8PbT3HAKRtXBrf4tAij4x/oYRFCQ -7IvQkfgsgD43d9qqMwS/6c+PXf0owJuOOVVWkUTfmksrF34QQNphOGjLWQr7 -FNvFnr8n87gYm7hFUXja99B+6zvCD7nv0t7RFHzTniYzTQK0JVK/jp+j8G5K -/6eQNwKcZjk0R8QQvayznyXzWoBXOjp1CbEUbBd/dMp5KUDg4T016XGET5/D -U5a8EMDrvcSb/PMUxNUd3zU2CBC3Z3ZXSTzxh8k2k13qBRg1vihSlUChIcbV -rL+W8PFI8MJXiSTPU5ODImoEKJj91rMlieSV1s/b8s8FyLJJLvh5gcLHhRt+ -FECALYp1gv5kCjNvvZdZVSXA0ev7Nw1fpJAc623ytkKAav6pUolUot8XCt4e -z8i8C8W05S8Rfri0pfLLBTiyWyRHPY1C7sqiynNl5Pz8Y3oLL1Po3R5LKT0R -oFF+57OVV8i8dwMmFz8SYHNdmbNVOgU1A+8FZqUC8F8nTXS8Svb5af+GTw+I -Hsw7y9yvUVhw8ZDP/hIBeGa3g30yKEx294/9d0+A5x0cy+BMCkmGoXkJxQKk -LXmkGp1F/GIkulL9rgDBO4QTUrKJP5Ulfnp4W4Czex8PZF+ncHTnxV9WRQIM -+Qp/3ckh3/+SNNJ2S4D/LjwZKL9BwUM7Stq3QIC8n/8mNOZS2LnST2XCTQHo -0Oeqn/IovJHcNC8lT4CiECmrrnzCrxi1JTq55D6c9uD+mxRGiztWl+cIID+y -uHy4gOzLL8Hc/roAjx7ITppcSPB9rmPTkSVAzaKQnbOKKKhfLrQ7lknuF3uo -Yu5tCpMYufViGUQ/7cy8/+5QuJS/1/bKVQHemf65seYu6QuNaZb66QIEvI/S -tS+mEG92e23VZQEk8gufON+jsFgye7lDmgAurbsc99+nMGG630IqVYBDZ6// -Cygh821Q0QhKEcCq9vjdMw8olJTmyE65KIDyve+HLjyksMx4TCTzggCr97Qt -zSqloPPBYMAgSQCZwYNT7zwifclvydeaBAEUYy70lj+mcH/ylFqneAHEDDe2 -NT6h4JBcXNgdJ0D65Lzmz2UUDg6rJZ6MFeCeQcpnVjmFF6t2+cnEkP1WqrA5 -TynoW3lszokWIKTJbMKECgqrZRYuWhJF8Dg5UVemksLFc5WTGyMFePZzj7NK -FelD+dNZzmcESJ7jcXk+KAy6aD3tDSd8thvvXFFN4W2mMDEsTIDYM2uWWT8n -fcItykP2tABaP9UuO9UQ/01++1/+KQF2RuVN9Kwleaf3fnz5SeKfMU0nj9WR -fFeIef0qWIAm8Yzx8HoKrx35qa4nBDiuOiMpqYH4+RvZXX8CiV92L5yf1Ugh -OLBLPfK4AGfO8t7feUGhwNyNNTNAAEmZvZHPXlLo0TmXe+uYAK9zQs1evaLw -SXanx6qjxC93WUxte030+feTytsjAqS6lHUybyjYvBV83n1YgNxnX58Lmygy -x9N4no8Ak67eKRZ7R/CT1DCLPkTyRd6gQP49wc9Rl6fgLcAM67235zZTeOb4 -+sbtAyQvNts9M/pA+t/IlM1r9guQs5HdYvaRwqq11L/3XgJccFs6tvkThW/S -Trl7PQXwzVr13+7PxK93utgK9wiwZMHfI0daiH/NFPTGeBB+6Rx5evoL8f// -1BOVdwswtyhremIrhYHsrwuK3QSgWmKOZbZR6HbQfGnqSvT+alHnna8UGlcI -9nx0IXzMS3au+EY+Wzr889opgPuZBz9et1MQ9V6SNLSD+H/kxSPfvpN50zI0 -zm8XQKrRSKrnB+n/FedKVLcJ8ORQaum/DpIvb3hr7m8l+7lQdmBKF+kLj3+8 -XOcowBWn63pKP0l++Vpt+exA8q3Nnj+PReF7h17r/s2Er6vxeiVFYd54pMu/ -jQIIMoaKbdkUsp45tcdvEKBT+V+mM030JpaxU81egPLWuisHGcLnpq0tJXaE -jzzn7OBuCuOipzdZ2AqwLf5pSewv0m/TZja0WBM91jLv0n9TOHZC0figFfGT -8p9/C3tIH7ty7vawBeFD4h2Dp71Ev2xXpURzARL2WB191Ufw3Xw1Wn2dAMe2 -l1R97afg/8L4zwNTAZIS+mf3DJC8MzHZbrlWgPfa46eG/1AQZGY/+2IigJkZ -1TeVS/Lyq7uq92qS7yLZ3io8Cnu6Tp4aMRYgJdqQt4BP9n+D05q4kuQpL/2c -iYDCZSkYaawQYPuBdt2NQgpNMj9jHy4ToF7i70e3QeIXV3b8sFwqwCren/NH -hkh/u6xu2LqY6Nm+flP4Xwqp/5aHeRsJ8HVpkFryP/L+VpLxesSQPL9ZYjhn -mEJzof3MJAPCP9MTPx+MUAj7YLlLY5EA3Tdffq4dJX1fMfr6wwUEH53RT5/G -SJ74Tv1pqS+AXpdcJ3uc6K/io3rrPJJv/2QGhRPY6OG37/LWE2DBpQFFSVE2 -FCZpp43oCDDy8bGN4kQ21rQWvknUJnn81Sty/iQ2dN0PTtDQInp6NfpylRgb -MdEe/z3UFKD9RZjKBnE2/q264G6pIYDDUG+ImwQbkr68uC9qAoSdsmIfkWRD -USL24cE5AsgFJ7hETGYjfHBj27CKAJ9n1H6/OIWNYH3zkQRlAQq9uw/lTWVD -58JeFXUlkj8FY2KPpdhIlC1e+UCB9JVe8TuN0mzkZ6tvtZhN8tRN1K1Nhg1z -rfJDLTPJ/dW5yj3TyO8TjocfkBegf8cX9sh0NgYbHC/+kyX9av7DZzKybKyq -csiJn0H87Fl0procG0fcfe/OmU7ywMDxvJE8G71peY/vy5C8uqMYZTGTDd5m -QcU6aYLn9m9x22axURzsWv1pKvHLrekZB2azMW/0a/W+KcTvXm19GqLAhlvj -oaohSTL/dxkqXpH8vU66PE5CgOmlLxSzldhw6Ki6ryIuwCX/SJcSZTL/pND8 -4klEL2amhbUqbCxVs7psOlGA7xYTJraosjGspBD9QYT48Y26A91zyPNYf456 -TiD9IiLx6z81NibsfbtTOMbHOgn3HdIa5H5RxaYxo3y07Vz+U02TzLssaa7S -CB83byicMJrLRq774Yl3/vFhJzZJyVKLjape206Tv3zEFf5r3K7NxsYXak/f -DfLh+Hg0wluHjbH2vgseQj6KtsjYhOqysXXmA08en4/7+QuVLuix8cLFe2kU -j4+8ll1DN+axcf+q/MTZXD54Upk/H81nw66iuOnWHz6m+Q20vtBno7Jo2SXj -AT5u6Dp9+7aAjcmbi5zf9PGxz+Xdr/6FZH9pEspuvXysWuw+SdSADdY++7aB -33zM/iKmP9OQ8O12YGrELz6UjtS56v3HxpRNZ+3luvkIn5uRscqIjdSV/iL5 -NB9ZKonMxsVsiDqZPVzG5qPnzLU1e5awkR3X6/GCxceksPqc40vZyKk9Jr3z -Jx9XV0rPiF3GhvKv5kc9nXxEfvOPz1jOhgwl4RLawceThH9y91ew4ZQpOyrz -g+AdfKOgdiUbz0YHrl1v58O90cf6izEbTF/mcqNvfOzM2cn7vYqN/duU3te2 -8ZFv6Ht7bDUbJWp7vZxa+XiblX9Edg05zyhwkG7hI3qmmKnOWjY6jztEn/jM -x+WqeBVjUzY0P3JnTPnEh7DWRGyjGRvs/3ZcvfaB7GOT4j+PdWzIh4SpLWzm -o+u8+vBxczaOpezLqXpHPt/YKhlnQfD2mqq++S3BD481sizZONN66FrXG7KP -qTbWD6zYMPkYJef/mg+fksnBDdZs2Jhsj5n0io+h9pHHX23IeaPf/156QfAp -0xQZsGVjxcjsA7qNfDgfObV94nqyX7WJH8vq+dixYOrT2fYE742ZxnZ1fHQo -vddbsIF8/wiV9a2Gj8373uSabmQj+WDLuM9zPhYZi+g7bWLj3tyjrmPgQ73m -SNXBzWyIn33wJKmKj+/zFN1OO7DB9bsio1HJJ7iPTU7Zwkbpe/U9D57xEWaj -UVPgyIZvrO0D86d8nNp+JrpiK+FPxPTxT2V8JAk1tzc7sVGb6W+z7wkfilsm -LaG3sTG73i9x8BEfyWm6qsPb2XjZLtYcU0rm+5MgO92ZPO+V4XSlh3zw41fI -a+8k+vQfWH+7hI/jV/Q0jV3YWFe59uzq+3wom7qv3rSLDbEEtfKmYj7ES77v -8XRl43tj/G+3u3wcUci/FOxGzt8SpfDnNh/FuY8/JboTvslKmEcU8WEWLqee -t5uN/3qnecsW8oFvFUHlHmxo1GUm5Bbw0c16+O3tHjb4p4vvLrnJR0LD3/XU -XjbkRExf1efxcbsk6cVfTzbeLNrM2pbLx/aPgQ7T9rGxubd9iMnh45XzfVpr -P9GjKjUl+DofHv4mMcYH2Phyc6/ilGw+zm9UW7b5IBuZh5y1rmXywVbc/sfL -m43yTbX6CzL4mDOJfnzyEPGHZdkGlVf5kF/dFJvsw4b+pB6Djel8PP0jfbDA -lw3Ha3kLOi6T/TkUbq08TPDqeKntl8bHufjr9h+PsPHk4Q5lkUt8rPjA3/zL -jw3p4Y3SF1P4uOtQ4DF+lA2XK0XDmhf5CDEuPz3Tnw3Pwwfphxf42FKhf0s/ -gPiLe2yTRRIfMhITfpgdJ36xSbLkcwIfV+yWq+8IJHyaQ13YF8+H1JMPhw8H -EXzvK/kOxpG/n/r48uwJNvYwhZYxsXykvDb+71ow2U9ekpJiDB9HP03OLwlh -Q/jqZU9hNMG/0Uz7xUk2QlZtKzeO4sOohVXy4xQb01qNIl9H8pFpyLEThJL9 -n3G13XWG6FHi0J+pYWycVv40tS+cD5uELTc0w9mQikp9FRrGxxvOrd0rI9iY -eT0jSuY0H+/2HdHffIaNOxt+r84+xUejaoHo/kiCz+GTfwxO8mFp40CHniX6 -oTZcrw7mY2T2kZbUKJLHie72Dif4KKsS+Xg7mtx3QzG/K5AP/8NT2mvOkfkn -rkg/dpwPY+c4TlsMG15J/1ZODODDvOSMHCeWjUvNvJaUY3x8vcU3kzxP+Fak -4ad1lI/gY12n1OKJv/yNEHt0hI87pnZ1yxKIXrNkL1se5kPbylBhYyIbs4Kb -tVp8+Hj2KPWEVxLJh4MVxfsO8eFWc4J96gIb1hublwwe5EM1+7tbajIbthIy -T84d4MMgrI66fZGNUH+/pQr7+WBdWhRUm8LG76PCe7e8SH7MUp31LZWNE12Z -Ois9+dBdmvyce4mN/uue6S/38DGqFR885TIbfYk2kjs9+JigNG2N5hXi/7HW -/r/d+ZhvozzNOJ3sy8/9a4gbHzGskl6HqyT/1BNNproSPah/ajl4jY1HJ5oz -rrmQ840imyIySJ/Ypjukv5Pkz6bq9+mZpP9cSdhUsYM873Z8Z0kW4aeyaK79 -dj4MQ36NvMxmY2rlGW67Ex+xnC/aP6+zcd5Feo3vVjKflbPLvxw2uj5mR41u -4WPh3cOZsrmkj0xc8TLBgY8aF8Xe+XlsNDZ8lJyzmQ+TczutzfNJPxj2syje -SPTitfiey002voZKn1qzgY9/8/PnBhSw8Wt+wb2360meyZTkxd8i+Hes6nCz -4+OC5Q6j/EI2XgW+nDJgw4eGeMabyiKi97cbjMKs+bCODvVvuU384HmD0zQr -PixGRnUG7rCxdqHR8WwLPg5mzWEkitlI6E24YGBO+J3b+VD9HsmLb18KYEby -1swyYeV9Mt9n6WebTPlYe2+D/5YSou/HC191rCF5qzXsdegBG6rOSz8fMeGj -rmWj19mHbKina7aPryJ5MGZ7NLOUjUMOvB9JxuT7H/piHz9i48+u/O9qK/nw -il11791jNo6nLWu9t5yPhy5LurqfkD7Xmvd27TI+boW3qYmWszFprK/63RI+ -hg0WHFJ+Svyvc9o998V8XMxZWLvkGZv8TjJ94D+SV9Iduhsr2Nht8/l0mCEf -hbfN0vdXkrwID9g9zYDwoXTb7IgqNlZ2sEyyF/JxeLfajasg/FutMdtgAR/t -TMbK0mo2Uvzn91bNJ3qIfP+96Tnxw12jFRvn8SHq8yyRqWFjU/Pl2B+6fHh+ -dbMXqWPjddGgw2EdPjIkKmYp1xN/qFGaNabFx+cFn/qWNLAxNDD2OWEuybvI -W80bG9lYJn0jWVWTj1AL45oDL9jYyxWxvavOx4/COJx5SfgdpDKyWo34bd/V -lxmvSF8OHCh6o8rHRBufzsev2ZCtP+G0S4XkG398YvMbNtpWPx7uUSJ+tmD7 -kp4mNtY/ys88qUj8bL7/UbF3ZB/ilqumKvCxX8/pmdp70mfFL366Oovk6e6x -GcbNbKglxR2cP5PMI+N3fOsHgnfggn/lckSPh26zD39ko+7i8WhbWZIPD0v2 -xH4ifK3YK9M2nY9f6md7cz8Tfb3kJx+YxkdL/9zIqhaSl8k6M4akST7tuKjT -9oWNRb+F589J8bEr/X0Lr5X4e9Fe0dlTiX/1dqTIfCX+ecs74OZkkgeJz13n -fWND5Onkn0slyTzlgUss2tm48mjN+npxPq4XTVBw/87GDz+J+1vFSB/N3C0Z -8oON6Oce06mJxF+bLotd6iDzhq738RclfD1RMO1+J8nH4JpaURE+prRd0Hnd -xUZWXN2si+M8FC5wsqN/svEzepOXxhgPT+4JQkQoNj6s87h3f4SHoSz/MhU2 -0UvKIH/tMA+Wy9+LrqDZ+Gw/fdm7vzzceCS105EhfmFReMxtiIeF2+dXHe4m -fruhuqhPyIOh83yDuF9k/6sdf5wS8DD5r/Td/N/kPNpdWorPw/KAluXPe0if -VKOWX+PycFAy6l17L/GL8u+u8zk87OEpBQz1EX3F2oWVD/AwxT9dW36AnLdH -L8OmnwefehHK4A8bUbOPl37p5aFEz+neeg7R86lFL/b18KD5LfXcfi4byz23 -fBH84mGRco1PJI8Nj5wfXWe7eTig+8Mtm0/yXLyZkWN4OLHmt+szARv0Pt1f -N9g8GGQzB78IiV5SO9j/UTyciflyhjdI3i88Br9X/+QhYuWzW9P+srEl26d5 -UxcP7pyUb/r/SH5omFT/6OAhcGCPss0w6ZNl+4p8f/Cw0n/eAc8RkgfLmKSR -dh7WVnQ/Dx9lo8anwu/8Nx6sptzQyxwj7zcLKHulrzzMzdyWUT7Ohp7NLq3C -Vh4+lEqotkygsSFJc3D5F3Lf5MdFXBEath+X1Dd85sHa39Ny2kQazdSFRKdP -PBRdle3Tn0QjKHWJI/WBB2WbmhwbMRrZD1Tl/Jt5MK0I2OslTiNumt1bkfc8 -fF+ub3RGgobDySdnL7zloW2Yls6WpNFRv3eZWhMPRraFwmeTaYxW2bPuvuZB -1cO/t3UKDetlfudXv+Kh/azVgGAqjWXDrxe9fkE+C+aOy0rTmPXdtcm5kYeb -AikVQxkaUrfn7u+u52GgXtRqwzQa8kuURwLreDh9SzzUezoNEet18WK1PNh3 -KD4/N4NG+IO02anPyb7umMjmy9KYYTkrS7OaB/Et/n41cjSkm6rUSqp4OClb -8a1DnkaeQmLG2kqCr6Hi1tGZNDoFEfJvn/HQ03e+TWk2jQyjK+d2PeURvc30 -WaFAIynjreB3GQ+SW59M3aZIw0JkrnvwEx42njlW5q9EQ2lRSq3EYzL/Lptj -yco0Nv5RmZtWygNHy3jlPRUa/fJVoVoPeaDVbKWbVAleBwI+PijhIfdCYP/v -OTTay0y0zO7zUP+0tl1SnUZw82y/d8U8yP/8r1VHg4Z62IQnrnd5CLar6bTQ -pCGTKBjquc2DyIpA4Z65NJxf8ZeGFPGIv2xUjNCi8Xt82FeykOjx4QbbbG0a -Uf8kc9IKeKh56R9dqUOjMkrxndZNHj4H1rz/pktjzEd/6EEeD6vHjfX+6dFI -PLlaxSyXh8aCH/EK82lEnrJb9S6H6OlR8dgyfRovjB2dXK+T5/veCXVaQEMr -Yqt3TxYPsfJtkwMW0ligZB8SnMlD2p+luRcX0dj8fnmURAYPfVZ1tiUGNN75 -zjx/6SoPuq5Ro+8MaTRU/Dw/N50HieCQqv7/aMw5l3mu5DIPQZ158dKLaVxL -Mz+9No2HgDaxAwuW0ITnH440pfKgU5S1ef1SGotv2+xySSF8uuJn5b2Mxr91 -uea/knkY6TllG7ucxlrLTu2gCzxI/65zvrWC7CNkVFQsiYeXbbZBjStpPL8z -9PViAg+DItI3aGMaW3Lf3VWP5yGpcNpXsdU0JuqGnyyO4yFntqOatgkN2QmS -FqtjediX0nrUYg2NC0JPiVfnyP49c5r3rqWx+0Nq/fZoHs42F6+JNKVh4nLp -NPss8UtN0fIbZjTu7fA08o/kweZ6hmnNOhqqF8c7J5zhwSk57HOXOY2yt55x -ieE8aKy5EyRiSfT3OXmRShgPH/vn6mpY0Tjqe7apMJSHBz0My9SaxmxX4/3L -T/GIr/+9u9uGhvihkuG6EKLvHueocFtyP1cmbkswD6NhU7yv29Fg/2uT7wzi -gXVGalf1ehrjkufSfQN52G7i4dJpT6N4Q6/CcAAPnkOTD0zYSCM9USIlxp8H -41GJM+qbaKxMbpGYdYz486VdhaababQqbQ/K9SP3mzz5x24HGil/orsMj/CQ -nyejHrGF8PPLXqsqXx6O3Dt8JMeRxp+Unvz1PjzIBMx/83wrjd7fyhPavIm+ -V5sv++lE4+l17tZ9B3no3/L0ruh2GheDffN4+3nIEEk2mruDxtmVcf3h+3jg -XnxRZ+5MwzfParGMFw8hDns8PXeS+U9fP3ZtL/Grc+4zolyI38VeuqO3h/hJ -+PPX+bsIX8/P7Xq0m+zzXGxKgyvhq6XNdHN3HkSZsgOMG8EnRMT4vSvxy9+b -10vuJvoesHdz3cXDm/Ytq+Z5kPM89UJ/7yR8nVK9wm4P0XtmclqQMw9XK9PN -D+0lfNkVXTRpBw+rzLtc4j2Jn+yZVJ68jeiNvhxx14uGhP/kmjlOPOzmV5W+ -3UdjaGNK/W1HHqTKtgsG9tMYfJJdu2ILD0qn95rPOEjD88iCivrNhJ8XWVlG -3jT2L1t+b8smHhaYt0lsPURD9G1lRscGHny/WZ4+7kM+D1ae9bHnIe7WfNHL -vjQmHVu6/68dD0cHY1LKDtMIHdewiLblwWLmHqOvR2jcdY9QlrPhYfGmJz+G -/WgUbHHoy7bi4TI39orqMeL3V5LKF1gS/tp/c1/rT8Plz8rwcnMe2LfvLPEI -oLFJaaOZ1ToelrqOz4o8Tp7/+eXIB1Meyos/iecHEv/tKnrgvpaH6P6FkxqD -aAiH+/f0mvBQ7S017dcJGhPYKdLBq3l4fPSo7tQQGlU7Lz8QW0X45OC2YeFJ -wj/lQYeLK3kodv4UvukU8R/2/Z45KwgeXz49PxpK9BpUE3Z7GQ+Ryh7TU0/T -mJY4T2bFUuLP/iE+j8OI3zOstLrFPPgt0mxpDacRazag6GDEg36G84bhCIKX -s+3l74aEL1M1P6hG0tDtGZDxNiB+33TK0/Qs8efSznDhQh4cDQ5N2htF4/Mx -xb4zC3iIP9NfEhVNI63rsuM0fR6uzJL0vXWO5Gmlc+m1eTxErSpf+jqGxuWa -XdP09IgfmE2U6o+lQd/J8izVIXlwghmYfp7GvBWqpabaPGgZ7e9aHE+jT61l -9M1cHlorIzu3JdBIVms0c9Yk/ctnTV9wIg1zbl8YW530q6QrEplJRL9bbMqO -qvGQHpRiUH2BfH/k4+9RVYLvcUMvVjKN+MLE2XEqPLh887slnkL4JB+4ZpYy -6Qt/nf7OSyV5NnjO/YYiD/c0u7ZvuERjhVRNyCIFkscFcnV+aSRvpDUvPJ1F -+szXfpPUyzQOPczPtprJIz09oP7JFRrPyuwKP8jx8CM5b+e3dBprWmTuusny -cPdpxOjYVRrDdQNFv6fzMN4mVayZQfzfpOdG4DQedqyz9rHKpOH+dyxVVIaH -bVZGK7yzSN7d14tIlOIBK97NSMym4aS0b7/SVOL/Pmp/S67TmPqn1PrmZMKn -JVr9n3PI93/JahpJ8qBC/fjz9wYNs8pQYaU4D+ffbhaZk0eDNZdXZyvGg7n1 -SbV1+TTWf/JL+DyR6DHHff2+mzTOR/E3eYjyMNFo/GxcAcm7/pNSfRN4yFrv -8qb4Fo0f9ZNqT4xzcW/dcY2PhaSv1MT7Txrjwu7QxrODRTT802fMuTDCRZli -N1/5DtG/aHKN8jAXXjfM/U3v0rhZIulR8JeLz857xj2Lyf3dAv8aDXHxJNUy -PfYejVsVX85XCbn4WtBvWnyfRvWZ+Qp2Ai4WdrsJP5QQvXv5ZH3mcfGm6HL5 -4AMaJxSvzfHgctFvcTVOpZT4i2Ppld4/XPyaeuCg2SPS9148kjoxwIW5k+i2 -fY9Jvulnhkzs5yIt0Hvz+SekHxkd+JnYy0Vhfc6O+2U05JLkLZR6uDhwpfDw -53Ia3sLs7Pxf5D4WkRf/PaURoywpMOzmwlDDsE6tgty3xM6igubiUWTJRMtK -kseHvBKs2Vy010g6eFeRPBhxev+BxYX10uV3kkD8f7aStNtPLm7+t2bmo2py -H9975r86uWiRUYv/+pzGugdyAQEdXHyb+236hFoa39Msssa/k783+udq19HY -1bS2Jq6dC+ktv83X1xM+SEzsnPmNiz5FU65fA/Fv4fnB621ciAYFFqc1En9d -3yq5oJULYXXiiYoX5HmP2XJPWrjI2BS3+edLsq/fJQrrPnPBC/FeJvma+Fea -8eymj1xMu2Y4f9EbGq+9Q6ft+MCFvuQP/a1NxD8VToiw3nNRoBSwKuQt0e8G -vT7fd1xI6PN3XH9HQ7vi/IehJi4Gkt3PNrwn/Je9XhL5hvz+1pPK3mYap8b3 -xMm8Jng3jE6S+0hjwOjDrvSXXByzWrxz5ScagS49elovuKgMd650/0yjVPdO -f3EDF9/fHl0U3UJD0Uq2eGU9F1vjQu/e+UL47Km8v66W4C912vhjK43pRvWK -m2q4qL4X8PlvG43DLtINbdVceDTtOa3+jeRnIueQJ7i4Atul1u3Ez04cmTpQ -ycX5zvn/fL8TPBrP5gVXcHExTqIp9Qfhj67B8knPuJip0HX3WQfpF5Y+tYnl -5P6ssoyfnTT2NK20VSzjYpLNhfTJP0kf8bn0IvcxFxOvH8gzZNHweHvKbNEj -Lm5YmVdup2hIZvc9LHvIhdhlDeo0m/Avjq1m/oCLg72TFG/SBE/jPVFN97kw -vdHv0sQQfuzyoLbf42KKfOcdfjd5H7naufrnXS7CMr9OVflNwz77e6LPHS6O -XO04Yd5D+uXMbV+FRVy82PeH591LY0qBtVpEIRdFbjKhF/uIP4/dc516i4sN -P4zln/bT+Foff+nSTS4U1gWVdw2QfnXzW4NaPheRdJ3PZA7B2+4qpzCXi5V6 -2ov+49J46dwwc8kNLsQ900d38GhknXZdXHWd6Fmo+S2cT+OAh6udTTYX5Sa1 -DbcEpL8U1e78kMkFdelk9XshDY5ooueuDOIfuza8GBqkYST7dD99lYsLAyt/ -qP8lvw+39PRLJ3y5s07U9h/xd8HCnf8uc2H558CSo8M0VisctT2bRvihWByQ -PkLy5IKUkcwlwudoudrnozS2io3JXUnhQvbSVbXfYzSsVM0HNC5ycTjXIk52 -AoOx0221ty9woT1dbuIqEQZf3lclL03iommlRNxeUQb8sj87kMCFZpimWvxE -Biu++yjaxnMxtmZfTekkBk4sw48f4rg41PrR/7sYg3I/4+hdsVzEFvksFpdg -kDf/nBF9jtxH3kjEQJKB3GP51iPRXCgFan/fPplB05POwL9nuYhfZNMYPoWB -y6dumchILoozr6FwKgPZ+/OvS53hYuNcjYYPUgwkB3Lnp4Vz4av29euwNINZ -S7cUq4VxsYDbOKo1jQGlvVi/MJSLuuGeRRunM/jsaZFjdIqL3Azrw0EzyPcv -RU6vCCHPW9r+7Losgwzn/hOWwVwE6tye/UqOgarTma9vg7hg3j+K4MkzmDnf -ZOmOQC7SL43+VZnFoCFEJbYrgIv8z5HhVrMZLP6l2uLtz4UZ13amnwID/dlr -VfhHufho71CWrshg9c1Ql1A/olerawdrlRg8Xf4lRfwI0ce6efP6lBlU+djW -J/lyMeP6iHCWKgNtunlAwYcLQc2sj6ZzGFywOCx3w5uL51LBld5qDPbrqRjq -HyT4dGg9TlVn8OG/NsvS/WS/WcqVVRoMqifkbjXZR/KlyO1DtyYD1pKgXQ2e -XGzZPyCQ1WJQ4uvoumkvF5eXv9M10Waw127p9lYPLjROj+/fr8Pg70ElO4/d -XAxnRjxO1mVgeGjCst9uBK9/2+Qq9Bgk91JK/q5cBAnDT9PzGHjE1w8Nu5B8 -EUwYmq7PoLg7+93ZnQSPXa1hqxYwsM4+mi3tzMXqBMlZ+xYyqNiw4kDadi6e -9V58emEROT+ZM09tGxeNP074PjNgsE3iGlWwlYvExmeLaEMGvvZGVwwduXCZ -6jo23YiB7WipRbkDF9kybu2rFjOwe6z+22wzF5yl1S/2LWGQJOcf82ojF1Pp -s7XJSxlMLClUc9zARUPk3TcVyxhsnl9z79t6kp8BqyhmOYNvSk9XeNpx4api -OEVuJYMW1aSnvTaEL13xa9YYMzB4u2bpcWuSf/McIw6uYnCpoeHWqCUX65zP -fkhdzSA8R2tmtAUXXS0aRtUmDDT+OoXImHOhJbnwes8aBv77d7SmmXEh4lig -MtuUwfzoeQZqpgR/1YsF68wYNPY3nC5Yw8XSt/2mh9cxOGO8qNHAhIvlr6u6 -082JHkRdJctWkfuenJhdb8FgesfmdabGJO8tqvZyLBmoH5Q4/mIFOT/xzzJV -awYfV5y+vnk5F/uqrynY2jDQpB/UtS7l4rjpc8njtgy+SuZ27V7CxY7APRI5 -dgyCV9gPdhtx4f4yXL5pPQMrqTtiR//jQidH1fCvPQN75WqpvwbEH72Md2pv -ZLBpJEoqYhEXeaGtFx02EbwshydNXsjF3C1/20I3k/kSVYUX9Ek/sMsyKHJg -sOXQ7w6F+VxIvn+R0rKFgYK/e811PcJ3uxDxiVsZiK8KydTT5eKoRuk5AyfC -hx0rjt7X5uJLVdDsXdsYrNx92WSFFheTzzc8itlOzmdSRas1ueD35+x5tIPB -kjOLqq01iH86Tp3z05nor94j8J0a8X/NSd0yLgzWWCzQ3j6H5FddQvWqXQyW -ppx/80OF9J3cwoIDrgyuWIb67FPmQmWec+YlNwa3+8cm9SuS/lCVmVPjziBI -QybtuALpC29PlA7sJvryu6U2OosLm9qezyp7GEw58jrn7EwupMSHxOz2Mkgt -DlCRkif+IJJtEeTJwPt5TlKKLMlT9Z/JeV4MLFZuHlaawcXOppq+5n0MbhWE -ut+YRvrRsXU7xvczaM7UrZgnwwX35J7mBQeJX9xZP6NEiuSVo5bzTm8Gc70Y -txVTuVjsFTtw7hDhy/ahPEwm+1dOSX3kQ/ghf4plJUn6GGudDcuXQe18P6W3 -4lyU6lydMuMI2af+B1snMaLHLVe/rfEjfpOffbR9Isn/ZotnPkcZBOq2JO8V -JfeZfq3w6jEGRmb+Rb8ncLHkVNbNF/5ETxEBz46Oc9AftvmBMIDo6fiXuqFR -Dk7HPHijFchg7Z30hrARDsJFGwRbghiUPSyrFh/moHhn/MKIEwycFY0eJvzl -gB4VD7gXzCDCe2KW/BAHS52Xv/weQvS8ZH7ENSEHVW1zFkqdIn4zMW+XpoCD -971V2cahDLo9DxsW8jj4Ma6gcfA0gxtU9IgBl4Og8EUll8MYvJPpqX78h4Od -7RM2N4QzMD5yJdRkgIN9Ecmj/AgGh5Ljjer6OLjyvat8biSDggn1HXa9HKi6 -885uOcug33ptVPNvDlYENLpFRDEY5wxp7vjFgfN5d+v70QwcYwfKfjAczJar -XNNxjoHKFXVrL5oDzZAuC5lYBg63Ypt6KHK+wVtnkzgG2eZ69sdYHFTmnA31 -OU/O5/2tGeriwNtU/P61eAYdpiP/hXUSfEK2cl4lkLwqXZAu1sGBEH5m/xLJ -fb7EDJ3/zsGLsF3X510gfmMks1m2nfP//+fLOCczyLJ/mn3lKwczF92Ki7lI -8qo4jpnTxoHbyJRZZSkMfH6c0s3/wgE1yfw+k8qgxzPRXb+FA/YTB+fZaQwS -X1QklXzi4FXUihnWlxnMuCBWtvwjB9odQ18CrzBgzPa1VjZzcHNJ6t2b6QxM -Pdv/mL/nQGVw6sWWq4QPoV4ir95yEH3ZI0o8g/jBjPHJm5s4EDmXdm5ZJrnP -rZtTWl5z0LzszpV9WQza65wn7npF8FHIK0vLZvCvdya/6wU5LzOMabjOYDSv -tX1/I7nvMlPtwRwGC49mV/bVc3BwO3NUN5dB7Of9af51HNzyC2zansfgrZPB -/r81HFTz+5fH5DM4eJxnEPacA77TlpKym2S+JyV/JlVzkCl+Y+WvAuKX2fsL -46o42BDc8V6xkEFNsezO6ZUcFKlLBdkVMXh14L5o2jMOYo7MW3DyNtHLpjW5 -yk856Gxd8ef2HTIPVb4qp4yc925Vbftdot9b6m90nnDg27g4X/oeg3Vz/Lbe -ecSB9WLNtDX3Sb7U53/6r5SD1mjJtCMl5Hx12D95wMHzpd151x8Qvd0tr1hd -QvB5WFPT/JCBaP9FrZp7HEw8nj4g+ohBuofNWetiDg70+eoveczg9bkv397c -4WBNslmg1xMGXR0m+ltuc8D6NPN9WhnBt/vEsS+FHHxe0LviRTmD4xrRJbtu -cVAn3XD/71MGSpJ7u7tuEr305i3Xr2AwpCQ9e38+mc8krmlXJYPfXyJMenMJ -v4OCjiVWMYipqHI5eoODjdKHdapB8s3q+VHhdcKf40d+capJnnOiw05mc7BL -J/TZ3Bri76uloyZkceCeeiXDqZZBbo7DmagMDkqW1safqyN9JsshaMo1DszD -x86X15P+UzzFMymdg7m/11/taSD9akOIjfwVDhJ/3Xmi+oLwQ5iplZ7GQTtf -k9r0ksFubf8h1UscJJ+5p3bmFYNSx8HaGykc2Eze6l36muhrRPec7kUO3ozP -qKPfMLiXLrruzgUOpL//XqD4loF7/lm+YRIH8gqdeevfEb6n3856lED0r8fT -P/2e9MP+AFPjeA5OndWuud9Mnqf6o60qjoN7eSf2sz4Q/LMpb/NYDlwm9CvP -+kTm64viNZ7jYO20cx02n8n8YfC3j+bA3tbywckWBiJvEnven+UgXmd+avEX -BgPrOTudIonfqS2P6molfh5IPW+L4CDttm+U/FeSR8+91N3COVhm8S7V+hvp -Y3nHAn+e5uC2h+vDkHYyT5pk3b5Q4ienFLvufmfwRkp7cs9JDjbJiM3p+kH2 -E1pveSSEg2NJGt7ynaS/uTLBvBMcOAb71Vt3ET1pxuQHBZHvW/IMTv4kfDPL -fzF8nPDF53ZhMYvk66LVrLAADs4evGr0k2JwwM1OMNGfA61Hz1/NpIn/WTaN -nTvKQdJLzWO2DDl/W834VD8OutShF9pN8k1cdyjpMAfGS6/03//FoLNhiJHz -5aAv/F4t9Zv0oalL310+xEHgafFbCr0M4qza7ip7c3DkVtY1+z6S/79/RmYf -4OBycHBWeD8DzoFNDnP3c/DJ58r90gEGrYtVZhV4cTB/dKS5+w+DoxVWH+Z7 -ctCQf0tUlUv6lP+bqOI9HIx0Zaxz4BE8XxUZGnlwYLLwW3IUn8GO/zo+PHLn -QGei159yAekrCvt9VrpxcLhjlVu/kAG7f+1oxS4O/pl4fNMcYiCvvT/K1IWD -j1db9m//y4A77+ukOmfCl2OZE+P/MTjsk3bSegcHi0yfFFcPM5jnkv7r1TaC -f4T2QcEI0bdn58aNThxEPvhlNH+MwU7hgdvNjhwobhaTch9nEH/acHzrFg6U -vgTzUyZ047j3ErvWzSQ/62x6X4h0Y7HusXiXTRycvOTPGxXtRpIGU/9jAwdb -GocnL57UDYmGC0IPew5OfPlpcECsG2/Cfeaw7Tg4Yz7fK1O8G9WVQSYHbAle -sR8LP0h041j3Pcceaw4sdTpHJSZ3Q9dH1uOwFcnTKw4eJlO68fFhhhfHggM5 -93mfjk3thuJ8e48Ac8LXwQPbbkl1Y9vKOVsHzYieO2Z0f5fuRuz66WtCTDmY -flk7Vm5aN3xfqamNruFgRkb+Stvp3divZjcYZsJBgm/K39MzupHyML5BdDXJ -i7g/L0plu/FkgIqPMibnHasq+C3XDfvVm+0kVxJ+5Y5dUp/ZjRCRN2Nxy8m8 -WQ9Sts3qhnKBU5H0Mg4Gu75dj5/djdLU3/YXlnBg2H+yskahG2f+i6FlFxM/ -XZf6a0ixG96UftCl/zj45q6jbaDcDTH5j2OzDTnwqV/s56XSjUs6J0OvLiL5 -x6t8dU21G7PPaPBUFhJ9H2pY8mFON+bF17pn63Nw/87GYkn1bugUudVqzOeQ -3rxj+VqNbkw1+6Oap8dBbBL17rhmNxIfHT+io0vy2UgQdGduN6R8ep/c0uYg -Nfe8AUurG1dfOAzO1yJ62FMoVNTpBndR7sK7mhzYcTc1bdbtRqToj50GGhys -+hj+8JxeNzz/R8F1x1P1/+H6NjSMrCSihEpLElER2pJEykiUjEJUVsmIMotC -0dCiabWzeohKU6kIkeTee86559x7jRQpv8/vLy/OOZ/Pezzv53ne/7g2FHlH -k+hL/LKbT2ZR2Hl41NmFGl14kBZf+FOPQhfN3n6g3oX/gtyr58yhsHjDvfvG -aoTfb70U7JxLYYy04/0S1S7YoUbt3DwKP+Lqby2ZRPzbAvvt9fMpkCCyKiaS -/seF3B27gIL6nA0R5spEL0z1lS0MKOIr12ypUiTnNcTEhy2kcGit/CwrBcL/ -zX5jiw0pvFW63lUzoQszXnefFSyi4NU6+s4qOfK+nvJSTWMKCf/N866V6YJx -xGfWcTHp3w9VpXXSXei2WlRwwoTCw9YXj16P64LlKKPDz00p5GxctMlmLJlf -qybXf0so1GRv//FOiuArbup6o2UUqieu2LNxdBcy18pYB5hRoLTb6Q8jiR5P -uux0zZzgedqC7fYjukAHt4a2Laeg5WP4+tNwUn9edd5ESwrajoK5jsOIH2Q3 -/9hgRUFv9er4xn8SzJLL1I9fQaHxtF3j1r8SvKk/chwrKURfGqHR/EeCbeVT -B36tIvHD2cVlQAI5u8AQ/TUUNts4pH79LcGSifv/811L4XAeV7LtlwQ7Turl -XF5H8DVNu6XtpwSaa7LWNltTWKX2s3t7rwRmlRUjFW0odAi3Df/eLcHVqPN1 -1hso+LEuo3d0SeAkbXQrzpZCcjA7/IdYgnQ2OaNiIznvm3TvTpEEhdcunuiz -I/U9Uvq1k5VArWpf1nx7CvIPu8t2CSUIfjr6ro8DhcgPd0/yaQmiF2xrubyZ -Qt3s39u8KRJPZqhSiyOFYrXKqRRfArcDW7YpbaUQ9Euq2YcnwW7Hfw9snCiM -VX6bSP+QIO2pv0a8MwWdV9L6uzskWLX8+ulKF3KfX80bpl0C3S35GgOuFJ7a -dm3f800C+kTkw4VuFNpfptHCVglC9mq6+W+ncHfeJV+/rxK8jE5Tvu5OYW69 -ejvbLIGS9cev7R4URFIjbfybJDjtSN+bvJOC2XT7Yq6R9GP2p7MOnmTeQqXG -BTRIsNI+8+SJXRTYzRrOok8SPNo8L6vWi/RbIfNSwEcJhpVfKvzPh/DNX59W -0QcJNOREn5b6Uvjke2bC3vcSGH5RGR+6m+D9xhRT8TsJEi9p2t3ZQ8FmbL/T -3rcSpHSNvi70oyBp1Q0Uvyb3O9RJ6wZQMAzJjdj7SoJe+4NH3PdS+DVtb5S4 -VoJvYWPHnAskeNaPC9v7gpxnE3nhcxCZ9652b/EzCeRdmy0n7Kdw4N4Rm701 -EjyYp/l73QHCfzVes8RPJWi23VBxNJjM//6kPwFV5P11vqcqQ8g8yAirRZDg -3/Wg0D+hhL/bjx4JeCJBWK+Pn1E4BUWTrcaicgmCSjcGBR2kYOy5vcO/TIIx -R/WO5R+iYFWYFcuVSLD3269bgggKS3cOV/N/LMG4zaXftCLJ/L47fYN9KIF7 -0H5ttygK65Y6zvF7IIFipXZ4djSF/L6l14T3JOh6U9f6KYZC2po1E/fcJf2d -HrJpQiyFZRHBEUyxBLJ2qo3WcSTelqovvkUSZLSX7ok/SsGiWG82XSDBFzfX -CdXHKLhaFez3yZfAcetQzb94oletq+4KbkmQ75SXaJpIQaG2l+91U4ILYlu3 -kCQKm9bdl+dfl2DK9WFWd5MpOOQfMdh1TYLZMiXGohQKSYu2re3MJfUpPLhU -7wTB61wLx51XSXyqq+28Uok+Nc126rgsgUuLZsiVNMJPMZM3eVyS4Ff06Ntt -Jynk7h5n0Z5D8Jk1KJ6cToHf/Ftn+wUJKopGrNySQfRH5cewtnMSvHWYcis9 -k+Bj1/MPrmclqFe21nx/mvDvmEtZLVmkXjEncqWzKFxY5b/Z+YwEUjq0ydps -CjN3zB7TlCnB4jTXb0fPkn5dbCzekkHqbcdkPD1H+GL5XtuGU4RffqU7D50n -epMo/uFwkuQn76K/NIfoWdnmgI+pEgjmWkwMv0j0RfWiyO6EBE1fV0s/vETh -X2et5/sUCbwKAhV6LlPQ3P7+/YZkCVTmV8zUv0qBrr1r8DZRgstd82z9cymi -O/5J1gkk/rgXR2/lUdjl/7fx5TEJLoYlvBFcI/M4011tzVEJpm3bP13nBoWK -+lMOz2NJP58mJu24SfQl/1TsiiMSOJu8HX7pFgW3HtcbT6PJPNiZJ7beJv6E -L3q6PEqC0Re+T1UroFBfvfLjk8MSuN5+ULu1kMK7WrempRESfJepiD5dRKHW -wPhz6UEJ8jb3r/lUTOGW2Zvni8MlaFP0m6Zwl8LQTLXCh6ESfG2aOG7jPQri -udOSDUMkmGry578T9wleE1u23T1A+KB6svSbB6RfIat19feT+o8L1Rn3iOBV -f0dnQZAEthflbdc8JvF3z8yaHSjBdGU24VgJhaqfWRY3AyS49lfqY00phSnB -Re26/hLMFXrNHVFOoemmb3DuHgm0A8dlWVQQ/X9bMzRttwRamr0K0U9IfipP -oi76SNCQpJPzBBRsn276qe5N+HXVJZO/lSSfkdHuZ3dJMPhjF2/JU8LfE62q -VDwlOPYr9PLBagou87NVMndIMFzpi39JDQXh0aidCh4StL+JX/f7GfFjG3ty -U7eT+j9IMDZ+QcH8eVeLtBupj8dXw5BaCoNqYWOSXCWI2RVn+eAlhcD4WD0p -F8L/Dkfce19RuL5M3jLOifDX08YTC98Q/dmvYTt8qwRYceztvrcUTrvesIt0 -JPkHpKrffUchbG7+2j8OEoz83Huoq47ogeoM4zB7wi/Sj4X6Hyhcsp84+aed -BJU3m/cE1hO+lw3tDtooQa2F22DRR1Lfw6sqRRskOOe74oL4E4X+9zGxe2wk -2PnwxIb5DRQuLtFdSllLEFBhNmFvI4VtIn3Gc50EC5UcOwq/ED87+eLx72sk -sNzYUCNqInwv9td1Wy3BJqmqR/NaKIReOHu/eaUE5nUqZQFfiX9x0Fq8ZQXp -t9nXd4WthE9W/HfnoyWJh5brEbVRaDlnrLnRQoIXPvdnzG+ncCMBR96Yk/vt -Xvvt/U5hg8mZljVmEpiYOj4t6iD821I269lSUt8Sx5mSHyTe83r+FkskmOH9 -LkefR/B9sz2vwoToS9MTnSA+0e95LR9NFktw5NqsijsCgqetKr8eGJHvvSbs -6qYIXjedkjNYJEHgnQNTFjKEb9esnVK4UII7U7by9wsp2O8ymapnIIGFVTnu -s8RffNw+6Zo+4cuSKzd/chS2lpeM0ppP/ISqTK6RmMKHdSuoC3MlaO0fLAyV -EP94fRCqc8j5PftfPe6iUDr4LSVTT4I9Ofv7+rspvAgSbpCfJYFR+l+DJb2E -T+erjz4+QwLP3YrRET+J/9m29+4YXQkulT9sreijUKbVYR+nLUGNFm099IvU -/3oQM6QlQfWi/FfL+8nzCWohh6YR/Tox3PnIAIXRx1r6+jQl+PSc6a/+Q6F8 -TrHfPg0JYkN9b436S/y83ulGTl0CU9OoPav/kedXk4x91Qjf3Ji7LHGIwu2K -pJROVQlCXUM0Xw+jsel8esP2SRLkip0VZP6jEbvzinLLRBL/4Fdl2xE0rhvd -X+uoLME69X+zTo6kUb34+b4PihJYMdjwcRSN/Smf09YrSBA1TDtOWYoGZ//t -6osJEmT2z361ZQyNweL225ZyEiwKbJp6diwNqWcNNypkiH8bmpvwdRyNMXee -nF0sTfTHYvYwTWkamZmZMffGkfrW1yd4yNBoO7V127yxEvSt19XKlaWRVzty -3k0pCZLWz3jDl6Ox2vFMz/TREhT7NR6bJU/jgbNMYc5Igs+1izf5KdCI7N25 -TXUEwfNh63lFiiR+i6zhGcNJ/nkKat1KNJa6Xz8rO4z4tW2pkxZNpHGgWd1O -4a8YZy2qdcNUaFiNz3SUGhBDWlS0smwSDV7ynZWDfWKsGHIM/qdKzs/w0+jq -EeOLfOkDCzUanq6V7TyJGEFPm0cfVaehPPl6SjMnBlVQ6lM7hcayEWpadYwY -84JcWsZr0ihZP/FytUAM95tP3Gyn0kjWSx/7uFOMoh5e96lpNDrqkl3yv4sR -ztWfadCiobJ34PSlNjGWGcbbTNamccekqSyjRYzTu0YquenQ2OGu9Srhixir -NNcLL+vS+KPwvirisxgzhrZ/5M2gER/99UpgvRhWVy3ezJpFY0Gjhb9nnZjw -S/dnfz0a61cMTN36Roz24gOSO7NpuPcOVVi/FGPslpdqfXNoKCrarDB/Lib7 -SvcW03k05r1uuWdQTb4fkORGzqfxcNU1ad1KMZ4vevFftT6NmsJrG1QrxKhO -CgmSMqBxY3ZjuHSpGC+zhnVZL6RR27ngxNBDMUYPecWkGZL+DLuT3H1PjFeu -t7U+L6LhmLdhH69YjON2dZ9UjWns+jXS8ksBiS/i0xm3xSS/ye8GXt0S42Bk -+Z6rJjSsF+aer7guxsK+hI2UKY3CHTEzinPFGBa3ZNXcpTTOv9p+7splMYZe -fF6/bxmpf7LJ74wcMbx3OHk+MqPx8tkYs/hzYmT2vEgZNKfx5MwLv/AsMaTU -pz+3sKCRoxkYtydTDKcIvwnxljSuHByM23ZKDLsHeXveWNGY8swrwDZVjLfe -7xvlV9JIm3xzuUUKyddQ5LBlFY0zmRV/DBLF8KkY9uP8ahrdtjkXtY+J8fvK -2CMda2gc27FyzsRYMT4dG2cwcx3Jn5d/WSpajKPjRvX4W9NIEr8b+h0hxt26 -gZp762nsPZO3igkXQzOMu95vQyOwWy+kJUSMx3lt58xtaSgpO514s1+MYwN1 -l45upCGtqJdaEUi+n1T98LUdjVlDZ8IK/cVIuFLSKm9Pw154ft3F3WIcMH2g -vNWB5EsZjErzFuPvkUduOZtpGEs53Ij2FKNB4+njTkcaPo4DC4M8xKgrbpg+ -eyupR6fmDQ83MT609F0McqLhjycjN7mIIbTUnvvYmUZ4z/u1llvFsEl0f/3P -hUZiysZQg81irN9UcHDlNhpHMo2Pa20SY4uF9JIUN5LPpOhkBVvSr/5I6Y/b -aQRpaO/7b70YPzWlxKoeNJ4XTbHoXiPG+C3XOtx3EDx99Pr9fSXpv5Wb4PpO -GpK0/jMfLMWISdD/K/Kk8Zmt06wyF2P2aw1tIy8aOuyP1OKlpL5Feq6Hvck8 -nZpPXTQh9zVtzqvxoeH0I39mqpEYBuLLQ+N309Bt32wXuZD0J33CHvs9NEyS -tHf464vx0O+q4KwfjaffFVxc54rxWsM1uMOfxmT+5KXWemLo2y5V0ttL43am -0SjTGWIoX11ZExRI+JHb/nCmthgfEX60JIhGsTDNVmWaGC3rmrcM30/qlVT9 -fpSGGO9onyVrD5B5e9Zl0jtZDEfLGfongwnfZSond6iQeg5MNGoKIXzzc2bN -eyUxbj8ysZkWRmN7iw7viTzJb+rJYN9wGu/MR4vyZcWQa9EounOQ8Pukmraz -48XIOd7Z33+IxhoXp0cJY8QoaPux2fIwjfmDCA0ZRfI5oFGdFEnju6hL0/M/ -8rwv0+JjFI1RunSR3ZAIeuPXf1CLIfhJvzjDfFAEUyfLfZ5HaJyeIRc/p18E -Nv6gdkEsjXv1C96p9olwwKxP8DOOxtXY4X9H94gwQ/tRudkxku/MMMVesQiR -7U+uxMfTsClMlf/OijBMTe7s+wQaW4db/npLi7Dr0M0rqkk0OqUTa0r5Ihy+ -mVq+I5nG2jK38Os/yP021YLbKaS+P8uVM9pFKJBdpf3zOOHrvAvZ0a0ijDit -us8sldTnzsBI/2YRTiabf4hPI98Pe7fFqVGEyjMlFh9O0ugKlT+18pMIU3cm -Vk9OJ/3/++Tegg8iuJwudvTMIPjb/758yjsRLJv1/xRkEv57Yl4w9rUI5Y3j -7/w6TaMPo4/+fCHCZ2OrMIssGhlbNVd8rxHh4dUvG5OzaeT7xDJvqkS4UfPW -9PNZMi91c8IePxFBcYW2keZ5GvJ7lLmrZSJEvW619L1Agz/JeG3qYxHSRg66 -38uhYfEgOeXgAxHGZUen/b1IzleTebTrrgjvDfw/rL5MY4Pug9qNRSJ0Hqqe -fuoKjf7Cw1VL8kXYrXE0/utVGjNOuF/WvSnCpZp7g7p5ZN7ObfGRv0ben2QX -G3SN6FGB68TBKyLcf+amVn6d6MVZ39v8iyIUBbfVjL5JY6pR2IwP50VI/vgh -yu4WjbmbjySVZZN6JZmuP3+bvP8q5lPeaRH8VkzWE+ST970DR6Wlk34V7FM1 -KCT5DK6ecjBNhFOBKycfLiLz7/KfuudxEfoWZ8ypLabx1y57+IYkESbddd+o -eJfUp3D0O+N4EdLj84+63aMhXLYiZlqcCDK7wt/cvE/j0htrtfExImzpq9X+ -+YBGhY7K+d7DIjgJzp9Y/ojou+KlEW0HRZjS2Tc25TGN8dvb7V6EilCb9eV0 -YwmNV+8/HCs+QOpxx2rR9DKCb/2AK9lBIoxvMeEFlBM+tSrKPRIgQmJV+bXS -ChoOdSeO79kjwiP5d+GjQcMge/Q2Bx9yX9het02V5H3PCYrLdolgceWKQ04V -ub87r0hnhwh7l/q6Mk8JX42qMpDdLsLfnppgoxrif9xczve5iKAc8ujSkWcE -7+UBbNtWEZQCLVvfPSf82tqr9WKzCN6p3rPVamn8Fy0wL9okQnbMzGTvlzTG -uS+3OmMrwubeY4P3XpH4TPrnRK0n9c+Mixr2hvi15+P/eq0VoUphupLNWxpy -VUH3NqwSYdNkz9LsdzRefNfeaGQlwhrntfv4dQRf7RofpywXgRf9acnCDzTU -9zstHbWMzOdSKZXoeuLfNr5LZk1EyFzyY8TbjzTuzw6t+mhE8DJn93+TP5P8 -SmxaSxeKcPHJBQXvBho9+dbfLuuLoHUpyvB+I/E3D3e/SJgrgna0vM/wJhqr -EnIz9+qR+ZHZXLChmfDV++61jjNEkPttPfJ8C8GXuW3nUm0y/6JffvRX0r+Y -e57Tp5F+XnIWGLXRULNSfT1WQ4Sy8uD9cd9I/xYcVJFMFuFbzzr5+nYah3/W -rW1QEWHZz5ZKzQ6Cf1OlHeVKZP4C9Y74/yD8e325+xV5EaZNXLy5rJP4A96G -FQmyIlzPHG06lk/wenaxbMB4EUIvntHfIiB64verwn6MCB9+sIvzKBrThx21 -NxklgqbiGPsemuD1d/M7jf9E+NHKRFoIaaz43T1/5BCHkt7T5akswcvl5yH0 -Hw6eY2Sl2zgab9Ntr777zeHeSzv/OWIa2XvjH9z7yeEKvbP9oITg6aN3QVY3 -h6Wqq3a97KLx2IVJOizmUDx24I9KD5mXvDEbdrAc1vrF5Hr1Ej62Ke9bRXPw -7W51e/CThgb7L242n0O6jfzskb+I31J79VvuB4ed86eMtf9N49wBlU293zhk -rR3Rf7mf8N/x9rQvXzmM3PBsQDJA/Oc/jQflTRwyRJ6yywfJ/uD85smlBg4u -rT8Wpv6l8cGooyDuI0eWPqs9bf8InnSdj/i852AdcOz+3GEMtpfPXbr+LQfl -4AK5w8MZ5Cc4tsx/xcEtvTTizX8MXqq92674gkPVoaI/aiMZlIw88bKvmgPX -fjxlzygGBz+kTmquJPUL3jK/bDSDv7Jv11dUcBjFyXSOG8Ng/lpzr0ulHFr6 -795yHsuAP67dM/YRB1fbNbG3xjEQtd5Y43Wfw4tLdf4D4xnIWafLr73DYd/l -dbvXyTD415SF2YUc6keWhZ2VZeAmf2+T7G0OuyO1shk5Bu9CWl5JrnPorjry -2lSeQfOJ8TM/5nKYGdsql6xAvv+6dPeDyxyEwYZeLYoMCn74nDyTQ/q1IfHd -bGUGa7QTL4Sf46BT2bomYiIDbc0zJ1yySLxRCz+/UWEQbZ/iuSyTw02LlP1T -VBmcNN+hqXmKw68SenrAZAbB7goYlsrB4oIN/4kag+UGp606kjkyTyWlclMY -9M4X5FcncLALnX/ZXYPBkY//BnKPcrjcWJx9R5PBs8yGuceOcBgINs/9bxqD -JJH3Su8oDtulWivttRgcdci3WBPBQbI8WZw7ncHOZRe0ZoVz4DVa6/dpMyif -YkiNDeGQGTM1drUugzG+u08x+zgE9IyjsmaQfp00mfZ6L4feDuntzEyS39hz -Gbf9OLweNZNaoscg2TyBTfblUCjvFnt8NnmeOzDTz4tDSHmx/rc5DEblCdeu -38lBsXyaRH8eA+MiB9s57hxOPr9bdWQ+g3Pz5ptIb+MgfWpX3id9BmonDkix -ThxqPi05p2vAYK+xRulrR4KvlcZXwxaSeqfr2N225+CV7VTxypDBwrFxb5I2 -Ejwm5NLqRgyKhgzm7Lbh4FOrOnOvMYnn6+zAtes4+E8oC6tazODzfz5ZM1dz -WKKS1KJoSvrb0J4rtYLDs/SEjV5LGNwrTc3kL+cwftnjxsdLGfTJBux+toyD -6avJQePNCL4XBk/PNSXz0H1H3c2cwa34nMojxhwW+0c1Fy8n+fj8sPAwJHjr -irs1wpLBxIXLrpsv4PDJuCbFkSzZWZZ5kinzODT0mcXcXEH606WkMajH4Sy/ -L35wJck/++j85hkEb0+4S7arGRw7KdF+rM3hvrHOmytrGNQvsP2XOY3D7zEX -x/atZUDVnS3br0HuY1yd1lozuFr5xtVOjcP+TPey8+sZFG5p+z5vEge9qtvz -JTYM8gS166SVOTjqLn9oZcvgV9XRM7Q8h8OHNW3PbGQw0li29rkswX+U9QBj -x+BPpsvXq+M5yHc+e2Rmz2DYXO9P0WM49HimxZ9yYDBirV7xtlGk/6X5vvzN -DDoX5ew1/Y/UK0fdzXQLg01m5QoqQyyu1n73PLGVAXv7cHbPHxbje/4e7nBi -oPuiZcT73yyKG/bdNHJhsLmxzi7/JwtujqUgyZVBrpZ9bEI3C50if+Nv2xjM -FblleYpZfJ/4K3vhdlKPw2zacpYFprTLJrgz2KH000+dZhFwWO/0Vw8GMT1B -c37zWDwQN85fsJPUw8W17mMHi4h5TMtRTwZWKQWbi76xeNKz42zzLgax1W5I -+soivt9qz3xvBofNfKW9mlj87T+xIc6H9NPk+VKLBhbuRStXNPkymCYK2Kj+ -kYXUJ9/18/YwWHLGdfWvOhY7tf56xfox+OqXMK3+DQvWYXjGF38GTteEbfkv -WZjrhn2cu5dBe3hUVPxzFip2O3ViAxmEqi8bsaOaxYK0msQvQf/vz5TdSytZ -7Mu5MGzefgZKFybfn1jBotZIkhh7gIHrtznfJSUsVis90WkKZqBfYtP16iGL -Ud1jPs0LZVDrFNKZe4+FZXJ9RlwY4VPxxdLIYha259R9msMZ2F2r3r+1gOTb -StnoH2LQeqtZzuAWi90yJquORTDYNaPtxPjrLBL5snZfDzPYsPKFpPMqi6Pa -fgEGUYR/5qQuenKJhXbsppyEaAbfRs7fduYCizlPqtvbYhgc6LnoHXiWRcLJ -qkWLYhkYTWlxWHuGhUWJzYXkOILXvCZtrQwW27p8VTqOMlApymgcSGMxuk8l -d3E8gwfOo/w/HmcRG+tklZpAzqvV5t1OYqHuqP+Tl8hAQ4U1j4sn5+nllCxN -ZmDt6XDYNY6Fb3luWnoKif+N4wXDGFLPlysPMscZ3NzNXpSOZLFEJjbEIpV8 -7yR7tPMgC6uVbkez0hjkFD9YXx5Kzp/XdE18ksHrhJa+9AMsCuN+Nq9KZzDl -d1jsniAWvaMeTMvJYPBFMb7bMoDFnwDVQz8zGYyV/LOavIeFOEJbsP4M4fuL -TaFd3ixGcI27crMYTDaccKLWk9QzYtGvP9kMFJ+cO3bRg+CZMjtnf47ctz7Y -I8SNRaT4p93t8wxWizI1bFxYSGxc1UbkMPAs6quYvpXF+6r9v5wvkvqfSzMf -cGDROMaMf/cSg6YK16vv7Vi8bS8XjLvCkL3egb62gfRXqvvPjqsMqp7vlT9s -zaLP9JtWWS4D9/IbavZrWKiZHHNVvMZg3ajfUrNWspCupG7suU74Ms+x4Z8F -uf/4mDE1NxjibyqOfTJjIechCFe/ReanX0f11hIW+b+O/Ttwm0FFYcLxqMWk -3hPozLf5JN+qth8Oi1go+sot1y0k/DdvmrqeAYumyj+DkUUMlvauMRqax2JW -Q9GbxmISr4ytwafZLG55zy3Sv8ugO3jOhJszWcwwDMlNvMeA1mmuO6zDwn8g -Ob/jPoNXynZBm7RY7AkPfLHkIeHTpUm9upokn0CdnxmPGBSnRjr9USP4u5C/ -SPSYwd0RMy7VTSL1qpRKXF1K9Dw5ovaqMovF2YvFl8oYnFINqw9VIPzDW+4z -UE70MEfhibUci/VeWr32TwgfjFmZrCnN4mVT26kCMJi6eoxpzxgWn4ZCV0hV -MWhZtfnV81GEL86Ix3g8Jf6oR3vp2f9YCD1Wt5dWk/eNA1P9h4RYMyXmldIz -Uu8/82uWDwrxNjHnRcBzMq8ztjUr9gvh6X25sfYF0burkg/8n0J0BCcPaL0k -9bf/caukW4iVwW76h1+R/NTm7UoRC3FCRz288TWD299eDtvOCvFj1fNPC94y -qIwuOryAFhK9dLNKecfA4Vtjywi+EJtb+TX8OgYRzUvUGjqEGKx3d7L4QPzT -xk9LbnwTosz03bDz9UTf1M8uO/hViBGf9cv6PhI8qx2bur5JCOsdSQl2nxl8 -0D3ZOaVBiBlXv/rkNzCYqXI/UVwvxJKts1ylvhC+rBHIVdUJsdBy344dTQzq -RuiEnnojxMdpJYcqmhmY3fbEzpdCiB4NXZ/0ldx/4iJl+FwIj2erBftbGWRH -vuseVS3E1PHpJnVthA9tmNYGCDF33Y8cvXYGv18Lb14vFyLLylTl2Hcyzy9e -O4aVCHH0cfaV7x1EP6RjO9c8FEJj9wiLZZ3Eb/qMs1e9J8RN1fDuLB6DlXnO -V+giIfYnDD7s5RP9SPGrL8kn9Q5NPbGRYtDBW/wj8aYQ224uDM+niZ8Le/yJ -cDi825iQMUIGT8Z2Xpt1VYhjXx7Ge7IMyrbdd+q/KMR2p+zblRwDL2Mtrva8 -EKe1MjrUxQxWbNX1yMoWgvfzxpxwCZmH6JIH3qeFUMhsSvzcRfRh7yfGKF2I -P1UzBhb0MNDr2DtsdJoQUWaZh0/0kvMy4/o+pQiR8Wa6kvAnA9kV499eTRTC -Yt7nitW/iN5cH4zdd0yIeJ3bB3N/M1gUbqdmEStE+oHr64YPkP7s/S9dLlqI -462v57r9YZBoPkbYGiFEsdZk7bJBBqU5LtPzw0n/RmfMnfSP6Ln5zyUHQ4RI -XrdkXfAQ0dtPbw3X7Bdi1F35g/XDhPgn0yYzMVAI5aFJFfP/Izg8q/Hih58Q -y3o3KR4fIYTDzAT3O74EPw5VEcxIIep2KjZHegkx5vuu/tWjhZj9+/HC9TuF -6NxmmZgnJYRRapC/qrsQm45vnTNirBAHPiyK57sKoWRwq8N9nBDyXv+i7zkJ -wcma5D8ZL0RDd7VztKMQ5fzRieoyQlipRynZ2AuxM0I5/KCsEOFHZxaqbiTv -nfKK+CJH5u794xn89ULIcX9OGckTXF2YGXN3rRDqGxrLMxSEUE0OLI1cRe4L -H+jvVhTil3Hix3VWQigu8F5np0xwtHzPm4nLyTkmmoVFE4W4aiaX17FUiF4H -bR3ZSUIYv/XfVmgihN3qsCI/VYLTuKif4UZClHxUt3k9WYjYgaX+KxcKcaRC -8d8sdSFanuXUTNAXQqXW7WnCFCHCDl740zJHCOHDoWyBBsnn9gKF67PI321+ -x62aKsQL2n7MPl0yf7brYvOmCaH3fLB16XQSZ9SvjJHk5/I67XQp8t6Uq8NL -d2qT/E/VzKgn9zhH7O5+qiMEde7TufMkrpC6hWZaM0ifQmzEXiSPSe7bL8TM -FOLprRlaC0jeSt0iue/k3sAqF8M/pG7L13ZmLp8tROPyDp1n0kIEz7KYf4nE -Oa3wXt8J0qcMR6mvQ3NJPY/XXttK+no6Y/H57fOFMHNXNdIiOAi63rAXJM9D -N3JyhQRHs+1/OGoaCJHI29h9n+DujYu7XRSpS17mTM3Ifga+R223fzMU4vYi -jdmr+4hvybgbbU7qqGShN3ECmYtF65MfXDQW4veCle1fyFyVB7X8HVosxPAY -78TLZA5/1uY6uZsKcTAvUX43mVvdiXRt5RIhVijnhhmQOc+Zcst62jIhvq8o -ejJAeKLwKv09xkyIrdev/nj6jeiE383kDnPCm4XhgiTCS0rLhGusLIRY9WrW -q02Ex8yailVzLUn/fPOTJxPeuzlq8O/IFUKkDfTP7iC8+ebYu5+7Vgqxjxp3 -+ybhWYNpesNfEFxNy2kcE/SGgU/2hKkz1xAejNu6cjHh9X/3YjclEhzajjzm -PkR0IXXR0SxmnRB9R7Y6Pyc68qxjYrc1we3DXbUGx4nurIk23V5gQ/o84R1t -T3Sqpr7rm6wt6WenR9TkEgY9OWYHAgnuX1lG9LQ/YHDmppZ6vR3hlSTlVdeJ -roY8uti4kMxJ7mTdUH+iw/bHH13LdCA8vuHasYVEt+UkexJ/bSb9jz5xoJ/o -fkjukyinLUKMH9+4HHkMgvbeSSzbSuZ6VZgwjviM7+TYKc5C9MfvPrCO+JJC -18gvUS5C6Ohea5EjPubZGNcpHWSOLQ9Mn/aZ+CC9b+3BK9yEuFTTvOIs8U2v -cmU7rm0n8+1Ts2r7KfK9hsBjrIcQUoVfdLWJT2uS9/u5ZwfBUaccjyI+z8nq -4vl3hDfebdkRU0B8oWnYkS0Ldgkxz772TxDxkRnBKroZhGe0p5o6GB0he/Mw -9zG/vAn/jC5OGogkvr1t2z8nwks/bLQuPiG+99RHhTEVuwnPmSaePEJ8cn9e -tM5UwmMnJ7R6rCK+OmnyTcdYfyEWKUycMG4fg4C+4+f4AWQ+o+ecfxvAoPGf -fu9awoOTzk4afZLsAX9/p7sXBAmReqHexoHsDVNuPW6fQHhT9sWm/Spkzwho -vHTgwAEhou1OhjSTPcVk1Qb1L8FC2Icc23LBjeh22dPGJaGE9/31JrqTvWjV -36FrF8MIf/gH39Uie5TKe6mkEQeFcLm9fQ6P7GFR/S3R3oeESHD+Hnud7G2f -zSKTXxNeVyjofuy7gewJuyQ350eS8z4mv55N9sT9BoZf06OE+DaYW8aRPTNw -j7XWb6IL5Y5GiUVkL7322TjC9QjBg8xiwyALBsFGf+hKoiMF666UG5A92Nj+ -zB6do+T+xf5avWSPXt0lMzyJ6E7N37RdD8jeLdXgfksUT/BWOepYCNnT65+f -9LYnOpV0rTrWeAHxBYlXFj9OIvz04anb77lkPjsypkwhurZ155+JJXpk7z+z -e+KR44TfInblh88ge0qAznTBCaLTpv0aptoMDOe8sFpPdNGorDBgYCqDQ6ft -wu6cFKJLNfJc6RQGJ/Y9r5xIdPRk4Pa8g5MZvD06Y0pEhhBnGtelmKqQvSMz -5Pj3TCH4uxZvHFBk4O/9QH71GSFo/aldJROI76jk3czPEiJi/UBAuAzRSa+x -jgpnhRh69eTl4nEMzmtoTQw7R+6v2DX892gGiwsXMK1E50MMBMqPRhCf3WxS -b5VD+G7xEqmQYWT+fJe+u0l8wcEWp8+Gf2moTF3SJneZ8KXukuiefhqXq43/ -C7kiROa0Rqm7fTTSVQ1NvxJf4fdZxy+wh8ZKwYJjlnlCPFitWTBPQmNCtwH/ -BvEhXRFlr1iWxsahxc5yN8j8hHXX3KJpbPq0siOY+JYjpuXnfPg0/IxcIr/e -EmJyzQRb3R80RMzBeVbE58xUpNp+fKOh++ha980CIfZom1pf/kpjm3v7qwnE -Fyn0/Et3a6LRfnvWo9Bi4gvD5pWoNdBg3OIetd0h9SmoLP1STwNm3a9XEl/1 -Ib4gK7OORtaE4N78+4S/B9lNm97QKM2WXaBEfJjnUAgt+5KG/cXKmEOPhHgT -Y+X6+hmN0/wUfsdjMj8H1t2Of0qjyDB4+7pS4gtrYhusQOP1hkPsnTKi6x6C -1qEyGtIDl46rVgjRY+hfVfaY1OuPwDLmCZnfWTIxoQ9oRE7aJE0Tnxg5A+oL -79JoU/5Ob6wi86F8KENUSOPV49Mtj58SPfuymLp5m4b18wPfp9YQvDpIVHbd -oOE94vCfhGcED3uyp0/No6Gx6M6sLuJLZf7NHt9ymUbAVEU/p1qi78zFd5k5 -NNYn5T6tIj42XIbz33iORp6x91y910KkWI2nx2XR2Mm55v/f93p5dZs/y6Cx -KzDe/M9bIXw3nN0XdZJG0lGKv5P4ZLf6gWiTEzSudcVcefOe4OnF+D09STRi -wzfvW0R8tfnwZ/oF8SSz756OOR+FyLfTqPeKI/UT39kg9Zn4l0Q526kxNJZ5 -m7kEEl9uHpJ2vekwjXMy0hFNjUKY8rNaTh0k+V5Xv2NJfPyx3KlC61Aa3b+D -Bm43CzHykGbDyAMEDy9ktioT3y9acPx8RSDJt6HrZWSrEIJUD7MQfxouQs2N -VBupj1NG2bzdJJ9X2YxdO9Ev+ylKAi8aYxd7ZJd9J/q2rHf1xZ00rvwOddX5 -QXxn04QtW9xJPO+/LUztFELcudtCbhuJJ+6sZj9PiJfqA6NfONEY/uWm5k4B -0dulD69HOtL4lypn+JYSonvw9HQjexpHAt+6GjNCFE7MOMjZ0ihZxsu+LBTi -nnlefu56Gs+JOI3nhDg752mJy1oaLwtn2YWIiC9L67issIpGfbPT63ayN6mr -//N8aUmjY4TQybpLiMtR0iOizWn0cm2DD8ie9c5nVITRUhr9rsb3p/YKMRDb -XscupvFOqS8qmexlFYcy/11ZRPDcpO7e10f0vV9tjJMBjbUBBQ4ev4XwubqH -lZ1P48CZm9vekL3OdGrE7ZrZJP5JioeM/xB+Uly58uBMGlMfCPOvkD3wnuaT -kvk6ZN70F/XI/CO+ntc2hjeNhoNtl0042Rv1Rlw0OKtB+vVxWkXnMBbFE/uM -bNVoGB6pXb6R7Jk+ZS3KIycR/E8RfCkbwWJh8uq6x0rkfN+oozPIXrpOY8FO -f3nSr5npq9JHs5g3Pu3DNFkacRra6kNSLB7yXSY3jKNxV9Zw9J6xLAasUpYl -SdEYUV4zsnEciwP3Jy0xG0nwSjeqWJE9uOnFb4XuYTTMnfeaF8mwWCSt/Szv -LwX1DymH1Mje/FXmlJ3TAIXh8gZv4iew2L/F9LH0LwolX90X9MqzaA5S6kcP -Balfk2+7K7LY2qmitF9C4brWDpO3Siw8DJeO1eUo6Got/moykcVzXtiXLzQF -vcc56ddUWJw++CwmmU9h1vUz2xVVWczZrzrK7AeF9Dvay6Mns5i5wW+H5BuF -59mrF3FqJP6EB9lXvlJQ0vrP3HkKC/ML7C2HJgqPpB23vdBgMXz02NOjGyg0 -qa1MM5zKwtf0P5fH9eQ8+Q+Nl6exSCqu6/eto8Av+rNQbjqLrK8++9TeUHj7 -+HluhDYLjQXPat7UknhEC/UYHRY8ja+Sw88ovJZfWbNlBos/Snl9855S8OL9 -2fdsJov8aJWGb08o3NRzNlqoxyL+rV5qWhmF+Vc9ZC/PZuG0q2GaxWMKQROU -/sjOZWFQLH+i6z6FHwv3D0bMY+Gu9Onj5TsU2t5FKwjnswjuU+qxK6Rw9YrZ -MqcFLJaWvBYOv01hd2BhxAsDFqUV4oo71ynY9H94v8iQxeKdYb4euRS2/Ltl -kruIhanUNtGEyxRCli95pGDMImJU5vrKCxSSo+PWxixm0f9IJW7vWQrboxIk -YhMWP0K+ZmicIff9XZPvtoRFYVZz5Nt0Ct1lLyLeLmUxFDTWMiKNQv3B0TuW -mrEo2uzepnec1HtgtOttcxaCjAb7pkTy/p9XuydbsOAid16JP0bhnZnDiURL -glePfy8XxZL4Y3Of/7Zi8SQ+59WPKFL/xApFn5UszJYuyT0ZQcFY4XJw4yoW -3c9fO5qHU1j5dSO7ag0L44DVHWwwhebr70IfrmWRE5K36uw+CrcM1SfpWpP3 -tVpjV++lsMFyydvM9Sym3udl9+6hsDZt7plRGwj+fB8mXPahML6tNzjYlsWY -6FUbN+yi8IU55cvbyCJ34XHJgAcFSfDYfZs3seiqiPG97kZhj5lz6jN7Fm2O -amX2LhQcRsRXLdpM+mtoxxvaQiEu9uSYa44sjJInU7cdKLQcPuQ5cSu573hA -9RY7CsPurPp8zInFgz0rQkdsoHCqpdf5lzOLQYf0EUXrKCiWx//0dmXJ/rbJ -x3k1+X7C8Lwv21hcGQjLG7WCgkHWDt+121mEjv9XWrycwuoJhZal7ixWvv9y -w2UZmR9jnv7sHaQfAcP2jjal8PTVWMPzO1kkj/OTuWNE4VfClPUyu1h8eKYQ -57KQQsB8rfBILxZXK4X1o/QpvD+kWib2ZrFWVdRfNIfCmdmjFDx8yfyxE/qd -ZlHQHuQfrt/Nosfe+v0IXQqPb1X+s/Ij/fTNiCrQIvjqTc944M9CxerH6C2a -FHxO7zCfsZfMf988r2Hq5LnNvKGsQILP0wEXbk6i4NHw++O4fWR+Fmbnb1Km -8JWrrojYz0LhW176H3kK3htPlosOsBiRl7wpV5ZCcOmO9+4hLGJPWtDrx1Ow -pkz660NZbC58suWnFIWJpycZrwxnsXfEwIULIym0Rw1LenSQRetppmzlcDLv -Hj1dsyJYVPvF3+H+CsD1dQecP8zCP/5FZOaAABf/DBsuF0X4Q3B5+rJfAsyf -rXkjJppFeZLMpc4eAfqX23r2xrA4HDC8N1kiwMrfpxZ5x5L5On5AcyEnwGxp -Vq05jsWLb9u0mmkB7hi7qtgcYyGz7f5gNF+AgkW8GZXxLCYOBBTO+CHA28oE -m4WJLP7ejDN+902A4vQ1CdeSWPzaxp458FWAKh/dL6opLDaOulA3uUkA24Hp -y44fJ/x1/Hhb5WcBwv+zejQslUXl9/s1XvUCrF9ydNWBNBbfhGOPSNcJcMGN -ZQQnWfilx068+5rEp3sw1yWdxaQnk45sqRUg1Vp/f10GiwLbyprBGgHmJUzY -YnWahbReUNvlKgE2ZKpvfHSGhc5crbpVTwTQmuPoNjubzIPRq9PCUgEyRiHm -4lkWMdPdF6U9EuBI89ZSxfNEX9403zK8L0DWTp0xCRdYHB2/4NeXYgF2Oenu -Gcxh4fnAafLhAgHMDmz7EXiJRWeOtdK0WwK4+b0J5F1m4Xz2b2fNNQE+9R9Q -dL7KYlaYV4rPVQFOfNr6+l0ui7ejD4+TviTAkvvhWVbXWFQoLN5edF6A6I1N -Bx9fZxHndSJpU7YAz93D9829SfjrVUjKz0wBrM+7RF25ReZ3FOWZdUqAOaUx -l1Xyid5+/aK4JFUA1yDuS0oBi8/yy7NbkwU4FXZJ578igs9dSj+jEgTYf+x8 -fGgxi+9n1s/QOiqAt92Pf+wdwlee3+bXxAjwIDUkecc98vxotaxXpADBv7bM -/XKfxckH4mqpQwKcNEvstHlI6n/L2fZmqACvJ0vfqX7EYtWkP8XrDghw16Lj -lEkJC8ndF5QwkODFRyapqJSFUO9RX4q/AL9XpJ7WKWcxfn5l89zdpL/Jvo/P -VbCY69eU8c5LgLCuC2J5EL473q+9d6cAi2fPW5pQSfTfVCVZzl0Af04t518V -i3dqs14UuZL+sj7KwdVEfz7rNNk6CTD568QrwhoWj8eOrBJvFuBR4IwVO56z -mOFcGpm6SYCubef/fHnBwmKXucJ8WwE2bwmttX1J+vEi8dA7awE2Tii99fwV -i0T1tFL/NQLILfW6suwNwc/gmjrplQKcO3646P5bFg5/b5XcthCg9tHw+tl1 -LB7dzw9fZyaAgX/v2KvvWfy8v0KONhVgtfuWLZPrWVw64Xsw3pj0z2pO6cmP -LJa/ly/TMRRgRe0Bg7GfWbiMNvxQrS/A2MsGldENhG/Lnpd7zBXAMsp75+9G -Mh+hlYeHZgngoqSsHtjE4mOVitIFXRKP/DJG0MyCnlIdZTpdgJEzv7/d/pXF -CtmSykZNAXaPGfGisZWFkqKk4YA66efO3M+231hE33J7Kq8qQDL9vP9FO4vs -jX+OFCoL0LnOb+HyDhY7osonWSsIEGl8+sjjH6Q+hVmxAlkBZmxfJdDnsbjj -cKw6drwAQUGRHjf5BC+dh75ojhHg8ZTlXdMowhcf9j4tGymAruLx02dp4rcS -tsZsGS5A3jBvO0Uh+T18jnLPXz4kGXXTUljCR3Idh08M8JEcWSs1SkTm5d7e -slm/+CjcYz8iUkz69+b125oePsLG7VP6JWFxA+z97RI+7o7RXRLYTfhQUhs4 -wPLxTzEolO5hEV7pODyT5qO0yeHljp/EzxxP8ZrP50Ne6qP+1z7ivx64X3rZ -Qe5fwxVs/s3iwsmXhTu/8SG1Pm95XT/xT4cqTv5t4eNt+SC15g+LtJcGa898 -4SNq9c9rTwdZfKnT/Kz/mY8pWWkHl/4j89d+cNGrD3z4O7/f+XCIxL/edPfO -d3z0mTzcoT+cg6W7w/7BV3z8/W4Veus/Du99sDHzBR+n/h68rD2Sw9GioP/m -1fARa7zte84oDoOHPBKeV/LhbcoaqUpxuKR4tMOtgo+U4llX0sdweFpSP+FX -CYl3hcp02XEcEouWK6Y+5KMg52FJwngO3Quf0br3+FDZPdZrhAwHfqxjxpMi -PjJs5WdGynKY2MwoOObzsfx33dBvOQ7ye8N2cTf4YKRXc/vlOSwP/5kcl8fH -IqMwiUiBQ9ucrcfUrvDhob5r7G4lDsPLTzvczeEj0VtuMU+ZQ5rj9b415/iI -QViEuwqH9XrRft/O8PH69ZWGlkkcXuxQeRicwcejhamrtkzmsGvWzo/jT/Kx -Icf8Tb0ah515TjWXj/Nhc/eB94YpHJ7/kSQYJ/FhOrFn0isNDnttNae9PcbH -+sD+byuncvivqjllRywf0V6vyqumcRgKUH3zK4rcn+NdtGw6h6LgD20pEXw8 -qah/VKLNQVf8u2ZaOB+uvjINi3Q5bOg5GvkwmA+TVarj7s7g8PFMwHjrfXz8 -/P3Lft4sDgaSG3u+BfDxXef2vVt6HB7JzL64fw8fI4MMZ82Yw2H/EJMn5cPH -1MjM+1fnknrVt0Wd8+TjoaRu89T5HJ6lDc6Z78HH7z086Qv6HHZbmRY83cbH -q1ONTaoGHNwkx4c5OvPRIHWj/PRCDrnnOF3akY/d/lsfKC4i/VtlOzXCno/0 -XUx1mhGHD103WNmNfCif2k7JLOYQky1JvryeD7+MEq1kEw7KJur/Fq7lo1Jm -YN+YJRy2vpxm9XwlH2yOVtPRpRwal/9y3mpJ8EMZbh5hxqEj/dRKxoyPliQD -QbQ5wc99+r+IJXy060xJ/becQ9ap7lMyi/kwd+pbH2HJIUft6s8cQz7cazB1 -wIqDwLRLT38B6cfoQ+PCVnI42FRvUDWXj+cVs8b1reIwqW2ZzCY9PiwT32oe -WMNh1dyZpR26fAhG+1h3r+Ww5Ga8yf7ppH+fBlICrTmwCzYlj5jKR3ZqfKdo -PYeReYeL0tX5cPsst8l/Awdh61DedFWCH8vMz0JbDg8fvAu4p8yH4QHVvbvt -SP1HtI+1UuBjzOgcDXoTh/HnZoXWy/IxO0O709uBg4vt5Yce4/mYWVoI/mYO -qpKltRIpPlwUze7s2sKhd1337aiRfFw0/fS4cyuHZbMfecgO5+P0q30NO50J -3pxj6PN/eUjfpjbuhwuH3xdWWf3//3ofPF5nv2Mbh9SywYCSPh4GetLufXfj -0Hwg2291Dw+Oeh6zPNw53ExUWPpZzEPIS4sH7R4Ez4+2te5geRi223CL+04O -NiWBGyUUD8a5pnLtnhwmrLHIPMzjYeQEx9btXhxMJj+7Pa6Dh8EVCVXfvDkw -P7rSz7Tx4NRcX7bdl+DFscJGu4WHIS/jN992c6jVmtJU3MjDoZhH3dv9OKT0 -jjZa9omHX3CY3+5P8gkN9Hz5nocNjycccd9L+r3J1nPzWx6EQyzTHshhx9zs -Rd9fkvtmC3099nFQvG31xe85Dys+SA99389hlP+K9b+f8jAtzv7WjmBSL4WT -J2PBw6UvlXt+hHBwMta8IVvOQ9AORyvPMA5nQzpTsx/z0HpfeQEvnEO7d8Ma -7Qc8fN4xbJHXIQ4Fl5j6wjskvn8qtoIIDtPvT5xnUsjDHjW3KJ9IEu/Cjc7V -t3gYt+7TMzqKw7XbKVtsrvNgrR6htSeG4OVWlU7jVR4Mp2/JZI9wyH/UWeN+ -iYcksZdGQByHFhehIXOeh0z5ggrxUTL/aq+D92eTfFRn7w+K5+ATFh4/mMnD -9NMdZj0JhC96hL5HT/GwS+Xz1OAkMl9jJ02RTeWhevZI1V/JHNwX9Vw6nczD -XY+gGeHHOaI/+35qJJDvV2us/3OCw/E7KZOvx5HnvtLxh9PIfAsXTZgfw0OW -47IvQyc5RE/wbHh4mIdrZ++aH0nnsDBV2t/sIA+mT/0rRmZysPuk/elZCA8+ -ToF28acJntddGW+zn4dSYdmfsVkcNLYeVPy0lwevkZvKU7I51O+8InT248F8 -nmG63DnCh3VyGd99eLjQszP61HkO0n8fSfvs4iG+rSNWOYcjupe2WeRB8Bt2 -90LWRQ7acicCDrjxcHPdp7dqlzncvnFty4AzD69b1ypdvMJB069uQvQWHvRL -lYK0ckk/C/5mj3LgodDbqDMvj0PJE92epI08vPAv9p91nfRHZK4+wYaHRPs4 -mYIbBD9JZsqZa3k4evFetf4tDgtaVNpUV/HQ02iedv82h7JZVSE5ljykHtHb -v7iAzHvp/G9a5jxc1w72Ky8k9fqwVeX6EoI3q2kRy4vJ/Bcs0Jy9mId9O/Sv -1Nzh4HC8qK/QkIczo3Pb1tzjcOH2iwsGC3iYfO/wgrf3OVhb7FV6OJcHHeGT -s3YPyfO4c84mejy4LPCd3PCIg/1Ni8ByXYJ3qchi5xIO59sdN5tP56FO8s/1 -WykHQ6f3Y59q8qDrz2l6lhM9N796fIU6Dy1/1/VTFWSey2van0/iwX26Ku0P -ope/Zo1Yq8zDlW1O4u5KDtMm1va+kudh1hwZ6bCnBH8mGQ/Wy/LQK2Nk/rea -Ax0du/LdOB4yYj4nHHlGfh+bnGsrRe4bxVFSLzhUiC7Wvx/Bw+aJkduP15J8 -Vj+qsxvGwwKDJFbhFeHzmc/P1Q92IumzQlrWaw7rrlUZ2fd3IipCdZ3GWw6P -63IuffzZifdXLk7OfUf04O6mJvvuTjyrvjZc7z2He8717R9FndB01h8q+sCh -qU7hkb2wE1PblykafeSwaNJY14+CTlyte7+s/BOZT+NbdZs6O8FeZiItGzj4 -zRXK17d34lVdSkNtIwez/kotu9ZOnPvweIVtE6nf6an/vW/qhL5m4MvPzRwc -//4r2tDQia/z73u6fuUwVsduztv6Thw4eGzij1ZSr+HSodZ1nbAOptp8vxG/ -dEQ77eXrTpicbqmQtBO8ZKWGrq7tRPImj3uhHRy+zrOc+6ymE4qah/DvB4dT -8xbcsazqxMRAvY6jPMK/kXYjKis64V4SqCYjIHw1Imv6stJOLAmw3ZNBkXwv -9MuXPuyEy/DaD2oMh+1z97wzuteJ/3gtG64KiT868X3rvaJOfEtK6dDjOJzI -trszP78TGp4tKXdFHN7qFjfevtEJ/+8vbUwlHOaP6349I68TvH1OOk+7CJ8q -S5+4epnEk5CsuK6HQ4BKzxTNnE4opXlMqu8leP567tDZs53Y0f91oXMfh755 -f64pn+nE7wVDuzp+kXp+HnUpLb0TZtdfFu7uJ/4wvdhrfFonJj1fJtszwOH7 -HMnA0ZRO8Adc4w4Nkvl3K3EdltiJXXdmyo/8R/rPH5Zy8Ggn2h2u3E8ZIv7q -cFlCb0wnumxfBygPF0GvpXVTQGQnaqTzzHP+E2HRPVdGcJCc16s/Y8ZIEdIe -zbH1CO3ElqBAneJRIsw4YxnTvL8T8YynqYmUCEv+nYq2D+zE1lo5r6djRHA+ -rWDzxo/kt2/fDetxItiNfshf4duJwA0nhn8eL8KK7iCbil2dyKr2DHKTEeH0 -H9OYRTsI3ox//RLIijCsatSRArdOjJFdnRk0QYTQtue2Oi6duPc/is47Lsfv -jeNWKk2kFLIlK01EUlIiu1IKLS1JJElIISmrpWlVpJSShuanvffePSN9Ec9z -348kWr/z+/P9eu5zznWu8bmu8wclGemPz+dgx8/L36NPDmLi6hqJews5KLsz -dUzCcBCLGtN/iy7iYEj1jG/A0UGkyQhwwiU5eBvie3/WIXL/z8snVy3m4MgW -JyMP/UGICk+uSpbmwPnxbIq7bxDSbq/PblvCQYeG1klb7UGcMBT9VLSUg8fF -0gG9uwdhLLhvmYEs2f+ld8DxnYNQ/qX7on05B47GF0wqtw3C0mWRmuVKDjqt -m2gNFXJ+/8fB4VUcKO6NOflp6yDORC1LvLqGg09OrQ/Wbyb3m33Kd+Y6DhqM -zP2eyw/i7SV7j4dyHChd2nJiwbpBBGsfuCMlzwG2aH73XUW4cUZczAYOAsd9 -Do3LDiLf7VHP5k0c/NLi3Li4ZBBhAbR89mYOnBzcrrGlBkE5bnmio0DOaxfe -c1JiEPxO+4Qat3LwYfhdS7X4IOyGtr0wU+LAg3+38m6RQcxT5N//nzKJn2/h -mY+Cg1CKSRdwVeWgumiN8Zq5RF+eaDGm1Mj34melw2YNYv7hlHr/7RxsLbd+ -JzjNxkql6RZJdQ5GleVm3xhnw+GJEhWzkwMq/rk85w8bfz4fWK2gwcHNC7lL -LEbYWDFT/0Lubg4W113paqLYeJ29pV5vDwe2wgVWe3+ycVt5cl+rFslH54Cs -9G9srEVGq8VeDjyVmjrWDrGhk2R6/acOB4ee3Sl5xmKjR/+72nVdDoZbnl3n -H2Dj0JD9PP79HKStmp5w72FDt6F9JFifg5VZqQe+drCRd0x1dMVBDnqKX1qb -tLIxJ+ee6AcDDt5cKdSrbGQj90SVxs7DHJiNzf2zrY6NEoeZdyuPkPx0t7sU -X8WGta4C0+gYB4mS7ZmS5WxIKxsasY+TevmnW3GvmI3Ma5cYLoYcTGl/iBkp -YMPmrJ/PlBEH50Rm6FvnsvFkS+TOhyc50L2yNacpi03q+J2QjCkHak+URzXT -2TB/9YkXf4oD9uXJieRUNg7W51Oq5hzIKPrUL0lmQ2u8gq/0NLlfZ4bjgwQ2 -BM63KB4/y0GI28Om0TdslFkwrzAsOCgU/zfLJoaNPtlf9c5WHOxL5U01vmCD -HhLcM2nNgeZJxzKNKMJ/11UGnOOAwWdknBjGxrzwg3YydhyczX77UTKEjcQZ -HssS7DkQcDrR4fOU2H859fs2R6Ifi45UcB6y8Wbjr/ry8xysT3jkfeoB8YeD -drXRBQ7spWfPLb/HxkW7l72DziS/DGMNFX1IfKyE5l5x4cB1n9WF6Fsk/iH3 -dWdf5kC5Tfkovyfh7YteBLlysOyb0OQldzbe388QXuXGwUfrftdeVzYccxyC -Pl7lwGvNy3RdF+JvAWUFrWsciAloI9WJjZSEBexGDw6+/pcTLOPAxosWwQ8W -nhy8jpxUvHuODcE86afUDQ7yfk1G/LRkIyts74PbtzgoKkmpMT7DxvNIvwjx -26QeO+dW4BQbrD/fCl95cxA8Phqw/iSJF9N+eusdDkx/u8oEnmBju/9co6K7 -pB4fXLr89wgbCStLi475ctB8nR1sacCGXGfMPtZ9oj+++beq9rPB7o1lXH7A -QYndLyXFfWT9mcqg2QGkvjqupYZrEX8/mG8e8pDE11/rz7QGG7yA27vWPuYg -UlmL306dxOuppErmEw4Mvc8z6tRIfpa0ausFcsBbnu6josxG9OE8+84gDi5/ -FuVEKpD1p+rfOIRwUEk5r5q5ifh/vvC/f6Ec1JyvXG63no2rEVfPPQzjYHeV -6FDtGjb2yYh9XRbBQdcbVTellWy0Zrd7p0RyoBC1tS5sGRtHntcraUVzUKX5 -6+eENBsLv/351/yc+F/uUoelJPFf4Ylum5fkvsznD8oXsBGoy24cfcVBwbjT -nI1ibGREx/f7xRD7ZjTrPREi+sB+PXtJHAc2VwtP/OJnw2RXi2byG5IfzI3r -T85hY7x0V7BmPAcmxfxlOTNI/kcPTDa94yDlmd4G2UkWbg/kedkkcvBfZ/9J -778saLxvW/znPdlvRtGhwd8srFyysepBMgfHvZlCejwWvusXPF2awkFGrXJQ -AocFp2NPL6akcnD16HuG0DALbw/EnNNOI/a77/xz4T8WQg79vtz2ifSHdx1t -DWwWzC75h9lnEPv1XW8oMljQrLVqGc/k4HTOzOGgXhaeuXqt+/+/o0w2vbpy -pJOFdE/m01U5HKj7lC43amNh9diDBZm5pH8FDHzJaGLBedzjvX4+6QfVOa6S -9SxsCUsz6yvgIO6pftXVamJ/r8rqS4VEHzd6DbWXszDVNXMWXzHRo6HDNWol -LES/lBkLL+Fgk0CS+zOw0Kp+m29zGQfn2x8M/85l4eVn5Q1F5RzMDupZZ/SZ -ha9r1GyNKjmY6xEin57OQrm/X/a3Kg4OlMf/WvCR+G9k45pbNRy4fBS4dymZ -BTvHlW8X1HHQ7pzY15DAwoXfDprx9aSeFG5Pbn7Lgkv0XGpnI/HnypuDATEs -xJ0by2ps4iDzYkjQtxcs7DHeE3auheiHVja/XhQLHpcHHv1rJffN7t8bF0b8 -m98e9aSd9Nd/f3RnhrBQtUOuaE0nB9yVY+JnnrJw5mvTZHYX0Qf95tc5D1kI -reo4dqSH9Kf7Hn8lH7DwsXdH/mAviR/NkHK9x8LP5X81r/eT/vdsfKLemwX/ -p5LdYgzCd/PebbjFQt6G4IA3TA7OlEku8b3OAr5dNNzJ5kD/7OQJ5lUWciqS -VZoGSb4aWZ/Y5cpCb/6hTXZDRC/e7ZQOu8iCVunRnZP/EX0x9HhDn2dhTnOW -ZfA3DqJOiI0dtGdBoe/OS/lhDvojKfG3NiwUd2eM4AcHlsvEqWkLYm/BYUtj -Duln1RahpqdZ4Hoe+fKDS+73uG3GJ1MWjs7Jvn2HJvPDMUslYWMWIvc/VJb5 -xUHt2Kj8ueMsPNxePZk6wsGY7YP/8g+TeBe7DuiNcnDiutB5yYPEnrYHnf1/ -OJAUdUl31mPhlZnIN7e/HKz+l1BSvpcFEe1pcZFxkj8Lk8Jl97Dw4bLF0bgJ -DirkHZSv7mKhsF0xfucU6b/CrcF121lkzrmyqGWa9Me7A9lrVFnI7lwf5TiT -i3mnbr3xVGQhee/R7bNmczFyJNa4eTML828M/4iYw4X/Oq269RtYeH9u/LPi -XC78Ig8Ieq1jQZR9O7qKnwu9c2nz2laxUNd2I8xSkIvEXeebNiwn+SJLJfyd -x4Vyi93p20tIfkf1tAQKc8m7MfJDmxQLfJv2LNogSvYbHS3dIMHCtSRZ52Ix -LlZ0OL/yEmehbMy9/9R8Lm7K/t7TKsxC+LCB7a8FXHy7cOPtekEWrp55wfdQ -gotd1n8ab/CxUCl/IW+NJBed4SaFjTNJPqzJ8c+X4uLtm6Ara6aYOLPW18VY -movFy8J/uv9jImRG8wWuDBebnphtrBllQtD/hY/fUi6s/Ro2y/5iQifkx4eV -slx8DhwaceEyEUXl8XKWc5G5Nfh2yTATChfFDxuu5ML2v4rGRV+ZGO//r/Dn -Ki70Vdy/2A0ykSeic/D+Gi4cgoILshnk94q1P1es42Kfh5i5UB8TEl2P3ubI -ccE278s372JihdBNd0N5Lj4lc9nJbeR3uZGznA3kvM7t9VNNTDwd+XXWbxMX -R/Te3zhSz4SU+k33VVuIvWd3cF9WM9GZ9/RtngIX+++0raXKmWjfo/DTWJGL -2vmXV+wpYaLFz/QgrcTFZtuZA0/AhIGxeFGAChdLO90sB3KZ8HQwPLxOjZyX -WxS/5TMT1t7rfhVu4+KxZcfHm+lMVJjdTzHbwUWkZIJXbSoTohnud0bVuTi0 -Rn7+kmQmPPaPOQfu4sK1Ud/WIYGJgQbBy5t2c3Hg9OStrDdM8GYnP6zQ5MJN -UM2ML4aJedGsAistLmaJD/07/oKJ9YffC0xpc2Hxbvr0q0gmFjfwO0bocGE1 -1+3uz2dMHGseY6nocrHn1HZn9WAm/gp6uTbqcRHYuHPJ/SdMMNZFLXHSJ/4P -uhTQEsCEf+ehHv6DXJSX1hQs92NCsS4sLdaAi/QHuzLO32Ui7aPHa83DXMhP -Zzhn3WbikeJIfM8RLu5rbhiedZOJGX/4y92PcRFiGbDhsAcTvYkZ4wtPcHHu -Ws2mCDcmPoxM7k815MI5uJdmX2Ii+joz2cCYC5eCVI8tzkzYMi02fDvJxZ2Z -6qXXHJm4VXuj4J4pF0KWjk3FtkyM9ak6rjLjor5P+bWwNRM+mQ83w/z//4+C -n7LxWbL+t7eA+RkuTi8/5ffSjMR/u+T42Fku1rZEvvx6kon7Sw/wPbPkYqHP -Lg9FQybsd8nKKVtzYSajuOj6USZGFIMtGm24uOXr6FpswMSN0ISPF2y50Eru -Dp6nzwR70lJGyJ6LlEuuV4/vYyJmRn7kOwcuZD6tWxKpRfJHMVdJ9zzRh0ND -3kwNJhatOc1iO3FxVioucb06E6H2sQnezlysGToWelGN5OOTx37LXUi9PWBq -ZSox8X3tcq/8S1y41+ukTmxh4ke20SMzVy5Mb15gaG8k9rQrffp7hYvjZoea -/eRIPfJlUWFXuYiWb79Xv5rY08Dap3aNi7g3f/8tXMHE29zMtFYPLuY/SFA0 -XcrEyiPK21w9uch90CH/YjET0qKmLfNvkviaurFZEkws8Vx/P/UWFzvir5yR -m8+EnFTM8SO3SX4vrYg8L8JEtWW5KsebixKLM+EpgkzM7grd+ugOFwqSm07+ -4iP59ld876Z7XHztWdmhNouJXI3tF2p8SfwOKS6+PsXAm+XCKY5+XDBnGMjk -/2OAT+qRwDx/Llr8rfumRxnYEZnrkRDAxaXrDpbavxiQkA2fpf+I+MPsyNu7 -XAZ6F62O/fqYi+yMuUnlwwwc+2Vu5veUC0UR78sCXxkIXqe7cX0QFzxmyl/9 -QQa0ZQcWVAaT+6Te1QpgMGCmt36BfSgXhhSlX9vLwEmRVfICYVykSg4tEOli -YLqr9uS7cC7ago2iD7UxEL1I/sX+SC5sWrcOPWpioGndtomvUeQ+Wg5UXR0D -SZf/XHrwnIuo3VSOSDUDz80dp+VfckFvztp3qJwBe92ncdWvuPh7PuXpw2Ji -z1MHy/MxxJ/HqqNqChj4HD6qKhzHhZLKX9t5uQwgb9uq5DdcPLTZzNufxcDj -k5vXHY7ngqNgonH/EwOVxR1a3HekPgYc95elMGBnvM3taSLpN5+NF85OYuCD -vUGhYhIX2hPCL/a8Y8DgsNTqlmRy/n+3vt6MY2DlqfDnV1K4GEt/zst5xYBP -X4OC5EdyXvipvD/RDEzJFXRlpXHBV/p2n0oEAxfvW0eZppN8t3F97BLKgOj+ -wivjGVwMxH58lhTIwNH01nPPs7hof3v8zNdHDPAkXjtrZnPR+1jvy2p/BiZS -1z5h5pD88PDeeNaXgZI6q4o7eVzM9KK3RvowUPvBRGpdAblPht/v1lsMjITy -e1WC5MPm7R5ingwcLLk45VhE7PlN5eq7M7DILTBUpIQLWYm4/DuuDPz+z0kn -tZSLBU+1b+VfZOCV8SyhE+VcFDvkT46eZ2DNv2PfflcQvXzBt2urPQOZguYD -4VXEX2uFdzjYMFCYs+LnzhoupkeKRl5bMPBrz6sFA7VcfJ+QuthtzsCC+u4j -PvVcVMlPxy8wZWBjUGPc2kYSD2v7lweMGDif6z2/qono3RMdI59jJH+vckKd -Wkg/fXi3KvsQsfenpJJ4G+mH26QnKH0GCvaPf/nUzoWw/a8fcroMiKVGfTzZ -yUUQPTv6jDYD//TGQsa7uOiI3SkYupvYqzz/6cseLgwOBKjUqDPgFjIUs7eP -5EsSe9nMbQykPrhW918/F0kPVcvUlBlo21oh9pDBRWzipQ1OCgyEvGl22Moi -9Vbod+j1RgZezozqaWWT+rh3fku7HAPV5ivOeXzhYm/SvLp5axgYrbWaK/sf -F7NZxvKaK8h9ba1Q/JWLrU179rouJeerL39q952LiOXZMvGLSbxNI64J/yD9 -0jk1pVuCgcbmxmsffxJ9M5eaJTqfAdOPZU+NuVxU3u6fryVC/D3tXjhOEb26 -NNrvKsjA2fL/+F/zSP/FEYe3fAwECi2y0x3hQnW0O7VzJgPxLdN9w7+5kNCY -f37RxAAkVr5zCvzDheW1IM61kQGsHBFZuO0v8f9zmR89PwagcVCxqfcf6e+x -/ta7vwygctWCeJ8JEl/3EsNXfQOQdksNWT/FxeiMt5jZPkDuIxxZP83FmSUL -46zqBxCZHmSWM4NCeNTwzJLyAVT9m3R7NJPClUPiXaswgP6vetEWsyisHbGU -98kawM+rLvXKsymoHSjiMVIGMBXlLsw/h4L/TDFVzXcDWHD4tHE3YcuSjVT0 -qwEs81mZlMxH4fDWsdX/wgfAv6lUxHsuhQ0Mw0bjwAFk7N7nachPYYXVqt9p -DwbAeR83IidAIWWXVpCozwCu2LA8xgk//BkY73B9ABMnp+Y1CFLI+DaiUnp5 -AOvcxuJj5lE48/yAuuz5AfgkNB69KkRhlpNrlrv1APyYvnwHhCkcSj2S1Gg2 -gDcCS8qXiVBYnIfF8oYD2Cj4KIgmfLszduK2wQCMansdy0QpYF/vyU6dARxU -n3ckQozC5p36GxQ0BrBUfZHmBXEKrv9Vu95THUDex0l1rfkUdrpoqfRsHgCf -b4n2ogXkPN7D81vXDSAr0tb4G+Ew70fS92QHcLl5yC1/Ibmv/OrdXZIDKBLV -eR0oQeHv981dm8QGMGvrrc5ziyicKnz03Yt/AHcXhS5Rl6TgFLHqcvN0Pyyf -+zmKSlFwP117cc1YP97GmZSxCOd9d2S7Uf1Q4efblLWYwmPJ/tryr/0ofPno -RYA0hR3JfJukmP1g6vGWWshQmLhUNMOuqx/zOpXiVZZQkFxOH8hs6sdduSMa -gksp5Jy7Mo+vuh92wnoDfYRFOBs0TxT3I9lM5lHaMgrSJ0e+vsrpx6pvlbr3 -ZSkMqaXyc9L6YXH/uLD5cgpHZHZHqb/vRzt/Vt/WFRQW3rsZ6xvbjwr10Ry+ -lRSa6UMrmqP6ocsVi+smvKT58fxlIf1Q/DU7ImUV8efj5e52D/uxfWFzxN3V -FEzvDRz9eLcfLTLX35quoXBV5MOLfzf6cbB1vGDLWgomro4We92IfQIn2bPX -UXj071dowIV+tHkFLOwifL5PXrPlXD9sZkQc+SBHQezQsJnMGeKfI15hd9ZT -2H9J6oeFcT+WKu0eNpGnEGf/iPv2cD+sHNsObNlA4dr+TbY/dPthkKOTOXsj -hc9LW44oavZDnxWwuYvwwq8WSW7b+vHsdWLqh00UWmPTPbMV+rE285Xm3c0U -JjWT8yfk+vGh90K36RYKSrHylzVX9ON543xvBQUKqYkCEd6L+7HM4KEy31YK -5hvklUrE+7FEoI/uJvzhh4PGHEHin7zZeamKFF6kJeTozOxHuuyMIF8lCpRy -RcLdv33IGGxyNVcm9SH7el4p3YeRomuWSioUEqUk+2Z978NX+5FTAqoURHPm -rNRi9SHPX8ein3B02MH2W9190Ouwv5SuRiF4e9VEbnMfFkxaPPbfRiFhiXnI -WHUfTBM2ZVlsJ/mQyYpWKenDDL+aYbUdpN5dd0q65PYheq/GJhF1CvEZOjPe -f+qD/T3va2zC7m29p76874Pu77DG7J0UXq9krV0e14fKHbdVnu4i9TSgZGkS -3YdVYzvibDUoRB1IFg4M6YNia+lyjd0kXqEK66se9uGSy4r4hZoUtvwX9mnG -vT7MdDZQ/0446Wzph203+xDvtL+rcA8F74XB0s5ufSidJ3E3TIvCTFHWr9gL -fTD68kHdWZtC1tEnGl3nyPrwxZM6eykEtFwbFTnTh395R2uW6FAIvHtDVtu4 -D+I/jd/wCC/dfy3D7XAfCrAhoGof0Ycx/dx3un2Yrq658UqXgqZdg0LP7j5c -jt1x3V2PQugpMl9t6yMy4nrn8H4K7U+cbHYr9GEH//XwtfoUTudorrko14fE -9IPZE4RD72gcf7m8D9ddv35pOUCBL2Avp16qD0ubjsi+P0jhgq3C2KRYH8JM -va18DCiEvO6/uEmgD1fDbqSZHiL6WrDF6NSMPnQs1BJVPEzipzIZf3+sF8bG -9W4CRygYXZazT6d6If9l9bcBwtE9/qGMr734raNln3WUwuXqOVuFmb2YGFv7 -6/ExCuzHl7dt6+oF5dP0wPY4hd/OH99bNvVCxHrvpt0nKES+ffEwoKoXixZ7 -di8yJN/bSXWnF/Vi5/JrIT8JJ3aPBfdl90JjZMepMiMKBUtX5PCl9eLI/MKN -z40p9Go5GmxO7IUsV1DQ7SSJ34n0A4YxvWiZI8UzMCH5fawn/XokOa9yaGiN -KfG/Yp7/q6BesJKu/TdB2KhPubbMvxfda2t/tZ4ivG25x3efXvyKZQglm1H4 -tsgsUNSzFxHPMhTumVMo3VcqoeTai8TzB86ePk2+f7BtttH5Xjg/eRGpeoZC -fnigubt1L145fWSKnKUwvjJlRYRZLyycfFSGCCdVOh3JOdEL9VHx4AILCtvW -xX/tPtgLORfzyWeWFJKr1H/829uLq7ttXC9akfrfNueUzK5ecErkfutZk34z -PKC4Q6UX7y3f+qywIf3mRKLryU29UHYfWPKXcFe75nK3Nb2wsWoubDpHwbHx -hkrQ0l7c8Lp1KdGWrA/U+PRBoher5Nmb79hRuHT2TFS1cC/2fJ7+bWZP4ZZ7 -7o8vc3qx9W5LlYoDicc8xfgZkz14yjqdIOJIoWxPVLXM7x7Yyb0IGSLcrNpu -rPKzB9NxwQE4T0FlIv/goS89mHqv8TjcifTzqC0J5/p6YB4QFX3pAgX++XMu -3mzrwfGnSZkHnCkoHpF5HlLXg2tzXXpXXyT5uvuQ8vuyHiRt+yIySfhPzjXF -ovweCDsJHWx3oVAdfi2sPYPwd2ZwyiVSPy/XnxtO7sHpUbuvfpdJPTyyiZx+ -04PJluj9Vq7kfAmBbQtf9GBlqVf6zisU/Po46uue9UB/rvimRW4Ueu6NvNn+ -uAfbOg1SOIQvvhpxP+Dbgx431d2VVykYZ1Snmt3qgZN0Vedrd5K/WsePOl3t -geX4XC/PaxR+fbY1vuHcg1PHOVuNPCis92EXB9j2QP3ELc6W6yTe/2JDI8/0 -QFIxM0vAk+jFlTv174x7sGFZ6EMW4cJtpy9kHu7BmK7MhbwbZP64LXy5RLcH -sr06ps9uUtC57dTbsLsHVwQkjrncomB7xiSpR60Hf3/7Gh7wIvWh9p45tKUH -dbXR1mtuk34qs+cGva4Hep8Mb00RZonyPMdle9BflxzX6U1BTjyaMUeqB2s0 -49vTfEi/FJVOFBHrAUNuj8SjOxSmf+7tXMTfgy9v3U/b3aUg7v/Hcdl0N5S6 -DNK07pH+9VHUas2fbnR2FSxY6kvsXW+Tv4HbDaHi2lujhP/GN9/Y+l83pBPc -RhvvU9DtV3mlOtCNs3GfPd77UdjufE5OvaMbBhUhAr4PKKRxdy/Y3dCNi6sF -Yy38KThwoyy0Ksj3lRL6OwMo/OAYL9BBN4pKMv8tekjua3NATjerG/tWcrIo -wt9yj77US+lG2vfs2zWPyO+GOtf3x3ejTk7a6O1jCsV3prP2vyT79c9T9X5C -/B1kbrI/rBu7FjxeYf6UgkShqpnek25olL2W2hZIoWj3ucJ997uh8kdHZkEQ -mRfVyu7v9erGnzdX1/8k/K9E4eMe926Y1alqVwaT+XPs1i6Ni92Qs/O2iw2h -8LXzofwOu26sOm8SfiuU9C8L5WsqZ7vB15DdavqMws1bBusVTnbjjm/cUtUw -Mi9Jpu2QP9KN7XekXMTDiZ5OaySt0utGevr8hmHCE/zVXks0u+ElELSjIoKC -D6WQvnBbN2Y4hqXERJJ+dlFfX0ihG37FKxRvRZF4baF2z5LrhvHfTQWm0aSf -1k6GjMl24/GvHGPV5ySf+w4e5Eh2QzWk6p/4C1LPXz9ZskW7oZB3MvEH4R+O -Yp0dc7ux54DNucqXFOxat32omeqC2BLOxrhXFDT85w4WjHZhseDIpNdrCtwv -hh4fOV1I+nGlxyyGxFd14kLsUBdGoy6WboslnNNWFNLfhbHvrM8L48h89T7n -yr32Ltx+X/eZS/is8l1ft/oubE3eUlrzhsKBS0J/bMq74Jo/pyf+Lfn9mnz5 -iYIueMcfnrwTT2H10axfWpldMFMR2mjxjuTfyCMvhQ9dqNyww2ZXAoXvhr4O -S992wfBIx7vFiRQEjD0+Crzown6bwbERwr8bNE+OhHYhTf6sYdN7CmuepJ0a -eNQF09O6uclJFFYZJuZW3etCUU74Zv9k6v/vKI9PN7uwbtzwve0HCi6ZAaHR -bl243uahsjeFwtGIdaL3LnTh3BRf1fJUCgoiCWync11QWz9mP0GY+2x4keHp -LozPOiLR9ZHMJynlcepGXbDcJViTkUYhu2TB0xWHyHleax8FfSLzvcq7Dr59 -XVh9NebUxXQyDxuf9fy+i/in/JayQQa5r6u4Z71KFzZLZEvJZ1L4WB7c/nFT -F4RmHeWfm0Xi5V30KGRNF04oaM9iEx6ruPTq6lJi/47HAoWfKcSm3RA1kejC -3hwlmefZ//87FTkd24W7MHlgy7brORTuhs+aWDynC7u8vc6ezKVgfX+z59h4 -J9yoNcEqeRSezVxo1PGrExnyy5rn55N5muX/IGO4E365tku5hF+OOS0OZndC -TGnG5doCUl/8gTNdejrxQ/JrcwIoLCit1zFo6YQ+vVTzfiHJ965JplxNJ2r3 -Pc+0KSL1/+V356ySTsQ9s9uhXUzeI9cey/fldOKS9fWK5SUU3Ba/bMlM64Sx -fKvFJOGtGtPtTxI78dXKla+nlOjBcV9l+5hOqPoZZ3wuI/maLfRNM5LYK3rD -5Vk5iVeJ7R/JoE6YOrDUrlSQ/pHlfObng054CPgJHK8k827jv2Ul3p3oND3/ -RaGK6MdOlmq4RydeV/rXiVRT+E964o3TpU7Y5w8WDhN+7rXceY9DJ+a/cEdV -DZmvr6x+vNCyE7/rtKriayk4j/TzDZl0IjtZq/9eHQWrn+vbso52wjbKbcq6 -nsJ1rc5xv/2dMOP1yGs3kH5SVuJhuqcTu4VcLVY0kvlib/Fh+e2dkNy1I2aK -sINb4vUxhU5s6tzE7W0i9SJ0YrJcrhPLthro5TZT2BMf1B6yvBOVgaGJES1k -XunXnGsl1YmT+/mlr7WS/qeu+HCLGPFP9Msg4zYyr6lp2P+b2wm+FnMp1XYy -T2ipR5ZNdSBNQSN+YQeFlvyplU9HO2DC263NIxw/w3LalNMBQxOLr42d5H16 -fJvS6qEObI5+GZHSReqJczJnuK8DL3//M3rcTea7WRFhn9o6EBrhsuxCD9G7 -j41V1+s6sCpninuwl+SDaNtRrbIO3PeNrdvQR+aNFTc28ed3YPnG05mC/aRe -2VHmtekdcG2ST/xKOEBnHvNpEln/ij+hYoDMw6ueZxvGdeBHzkjaWwbRr2Mb -hqSiO5Cgza24xyT1FXbftju4A9pGv/+zYZH3RrK/enRAB/JE+BbqsCl4agha -nb7TgaV3l+qvHiT1/V9n7zLPDtyq2+E/6wuxb1dDYt/lDohNnGpnEj6Goppo -xw7Qsrc2Fw1RYPx3T9PMqgOHtV8/efUfBdnlNJ/0qQ6cuFg84fWVwvyiTtn2 -Yx1YlzRw5ew38n5ZusA/SL8DP8dH/+z+TvLl8mW9w1odyDgz11d2mPTDP/XG -gjs68KRJaPkUYanmiaySrR04f5ivpO8HhblLmhxvru+AQi11Kf8nyf/+FRfV -VnTgw+7ajc85FJqki0o5Uh0IehZK3eASfSjwPf9WrANORQcKzSkKwqm61qf5 -O5Ca8C1yF03hfknb+4XT7UhSc7m9lEdBr0hgX9VoO+4Y9LpMEO6yTt9yi9NO -ztvo1PuLgrxJsr3SUDsuB5tfzhsh6zUqeV/62sG54XQn+jeF8DddteFt7fh3 -1vTljVHSbyQyRw/UtaNIfGW5+R8yz00rukyUtkPRoujPrjEyjzSt3JGc146v -S7arLPtL9IBleux0ejsMRe94ThJ29v7wWTipHYFTL+v6/lGo/fHLOTe2HS6p -DzcUjJP+azzl6hDVDrdB3aAXExSWMV9XSAa3o/lk7RyvSaKXsWkOJf7tOF0q -43N2itRz3JxTF33aEcVQmLdnmoLqwPlwmevtSD0r+HzFDBqpu/PWlF1qx1k6 -Tn3mTBq7XldNOTu0g197BptJmNtut26xZTsi/i1+VjyLRvtrx6hCk3Y8L/xx -InY2jR8Zb07bH22HqprH0rtzaGzM/uEktr8ds/7lcm34aLjvXViVodmOTfFp -dfvm0ojq/3HJbFs7LradylzHT0Nz7iG7GQrEf4vTEvgFaHyV40+IW9eOm7My -478S5sRw1PbLtmPtcpvUKkEaDpXt4sOL2hE0ll2SOI+GSU+Q2iORdtRJZDAD -hGhYiY/Gb+Frh9no8XkXhGn8ftRi0zDRhuVLAzUOi9BY4zTldHGkDfYzL3gq -iNIoTtcvFP3RBvaywRJxMRpa1n5nktltePHllySPcJbNI72DPW34VxlxpUWc -RkfYRs+vzW3IUmnpTZ9P7K1V/Xu3ug19gc+PPFtAI7PsVtGK4jaU7xutdV9I -44NqV0tudhsk07oNTSVopBdJbTX+2IYMlf3/qS+iIT1DpJ37rg1VcrvuLpUk -668FlPm9akM+89PGKcJtceemVoS3YV1GUt+AFI0F3Au3Pz9pQy+1OrJoMY07 -n64ePHK/DawBSctYaRqBmsfPfrnVBqsqH6V7MjT+NDXnXr/ahkzKRtRuCY2y -yGoLMec2GIXmjOxfSuNsrtDh2HNtaOPd/rJhGY3juvZ31E63YXhPBkNYloan -ZtqMKsM2nPlkOMQh3B+VW3bKoA0C181HG5fT+Kxl3Dy8tw3NhVXin1bQuCRg -uO7GzjakpkSohq6k4fXZt0hIuQ2PHKts3FfR8BcqjI3c0AbH+cYvTFfT2J3U -VLt+VRuUCnexdq6hYab2aFemdBvqH1/fKruWRp5aKU97fhukA4UfzFhHE53c -z60XaENnO3eYRVjb57viqRltwPmVpmVyNNhRN3IG/7TC8uSLxvj1NBIrG/yc -ua3Y+dz6uL88jUUHMqL/DLUidJdzv9MGGqHHp3579bfi+dbcK0c20nDmuxHC -396KQy56i5Q20Ui7Ou3+uK4VdhyxQonNNLa/N30lUdaK2xHz3f4Qzg43E4nM -a8UXM32V7i00HqxtL5BNb0XSkvTJPAUatesj02PetyIy53DTy6009jhe46yN -bcU2SckUH0UatjFaTu8iW/Genz/snBIN/evlmzcEtaLHWvbBfmUaMQEdSu8f -tGLvuMm9jSokfyz2eW70bsXsyE8Boqo0zK8w5r6/1go2/8ZomvCQokebvEsr -lATyMlvVyH6/B4bi7VrRZmrdk7WNRuO8L+prz7biQNayeVHbSb6nmDS9Nm7F -w/b/tG/toNErJpS47HArFjkU3LNUp6F4oLY0fF8rfi550ayzk4aGk9PKhRrk -/mF35NfvonHySi4eqrQix+u8v5AGyc9jD17ybWrFL9fjvzmEzZlvCm+ubsUP -UVXH5t00jEcYq37LtKJ8SOxbhiYND/155ecXtGLGo4FLEXtoHH5KJzAFW+H6 -+NWcm1o04u1t641ntuKw65HXFtqk/q22K9eMtUAYX/V09tKInFTr3E21kKe4 -/ZicDsnnRMX8j/+14Ip3bZrQPhq8yj/M1QMtsP1PzJ1L2DvBRDe0vQV5QQr7 -WnRpHHu4+jtffQvWcOWWZenRePpars6trAVXrX9PRe4n+Suowh3Ma8GHYyHf -b/3/70q2Sh09kd4CruRMhtUBGo9nxnAL35PzhLYP6B4k671f122ObcFjH9Wv -GwxodCl/+RYR2YK46t//RA+Revxvpw5fUAukN7tJ/SK84fSV3osPWnCOk6LR -cZjUs/bptK7bLaAPxVzIPUKjRq2sTPsasc93f/zLozQuV16XfH+xBWa1L77f -OUbjnZtB3AK7FrQdfb3N/jjR3ySBix5nWlCx2+CxwQkajlU3rw4YtWBnXhRn -qyHxv8z1HJ1DLVj0PcBkkRHZr6dGPUGnBQsHF9f+JdyxXeuP8K4WFBXu1u83 -psF3+B33onILLgb+bSg+SWPOuobVzRtaoGy1zyLehIZB7p1g5VUt6Nkh+y/A -lEbsn+DdIdIt+C59+7nLKRo26XVrRsRbEDFle8DIjIZEztS+EwItyO+vn6Fu -TuNF4cjrj9PN6H3/qVD2NA2Fize3i/1phsjx+f6zz9DQNbcVdOI0Y/ZntvlX -wvdFbkpUfmnGn4J1O+rO0mD9eWy6uq8ZmdrtsmkWNE55OXTebG3GHWmOSJgl -8e+frqcdNc1YI+E494YVjejXyT5bS5rRMrlPwNKaxurUj8l+Oc1Qi765UNeG -hvzeT/MZH5thkiK8fuM50i8cvT6oJTQjnubsE7clerGafefhq2Z8l1px4Tfh -QfP3gcywZqg3RT3vtqNhz4vrUH3SjIny0x2wp3EhJdrogW8z+qItZd440Jh3 -+KxQ781mgIqx9XekoeOePbbZrRmFp5blXTxP4l3svszLqRnbLtTKGDnROJRl -69Fg3Yzg9Pc+6hdoCFcfF15u1gyHrMxfy51piJ8VaL9wvBlXR79e4LtIY37V -ifZc/WZc+6FBfyfsoD9TRFCrGXtFP95sdKGxSrzPw2h7MxKrNRZmXiJ6sPPT -0tcKzbjrP/Ax6jK5X9eR38PrmhGZGmjq7Upj3Zdbs9Vkm/Ei4sg8uys0cvcL -63ktaibztESpgRuN/3pLUCHcjE6BXl+lqzQY9pcuiM1pRpf86+OL3WksjWEc -MR5vgt3es3JThL029dlG8wgHz+cbvEb0JFIpjfmtCf7HPg1XedD4eT5JcR2z -CWopmj0p10k/EJf84tDZhPsdH1tCPWk8G1SvTWpogjp3TpvnDVLfykNDnPIm -pEuoDFjeJOdvY6tsLWgC76w6T+8WjXGpyQyXjCb4shaIbvGiseT7lENqUhO8 -4j8rSdymIZT26Sg3tgmen9ZZ/COcYTnksDmqCQFzTJ4xvEm+d1lmOAY1QTFI -r63ch8T7C6UU/6AJxoeopcl3aCjpnGGxbjfhwIpDF4Lv0qh6fqVk2bUmpHFM -yj3ukX7qP9V28mITboWKrrfwpeH0pFw60LYJ377bB+nep2G9Iuxx1ekmOBVY -8W32oxHwQl1lplETMjpHby98QKPOxHPedoMmvBtfzvePcH/A6vnOe5ugweoM -ZPiTfmg1qRer3oTIPUvlKgJovP3V/KFDsQlfSwZLkx/SkNV13ick3wT7BZvP -hzwi6w0ihHavaIJJDVfa8zGN/K/LZrpINeGHr1yT5RPy/deyta9Fm6DXXv90 -/1MazLlmHk18xD97GSYKgSR+nLfjMyYbcf6YsbxkEJkfVV2TFEYa0em5cdYk -4SSLBwGnhxuht+0Umx1M9IOZFu7PaoQg3VtbHULmv0XZLZldjVgq9qHgYyj5 -/sC5XazGRihRFZ/DnxHOvt0sXNmIt8Nrcr3CSH08aA1VQyPsj6HMNpzoSZ28 -79nMRkw4BHYeiiDxua8fez+5EVevhv5SiaThEjfx40NcI06nlkkujaLxbYaw -dVtUIz7rL9WeHU3y12YP33hQI0adgt2+E95/z6pluX8j+net/dj0nMb3OTvr -9no3Ira1ZuTzCxrDl4N4ttcakarnvefVS5J/BxX3PrjYiMLXmiH3X9GYMTZQ -kGjbiOKhGZTzaxrL6m3P1Zwm/liAE8YxZD4Qf6w2bNgIXZkr0Iil4cpdpjTP -oBEO36SV18aRevPtP7l+byOSbRI/CL8h+jMQFr9PvRF+9suVRggPceavtFJs -hG3V5fyet0SPwiVKb64n/jnx4mhJPI2eBLun4csb8agmajjxHek/A8330iQb -ofzT5nFQAo0TzGVxNSKNeOL0a/v1RBoFe8WH2XMaYfB7z7Dle5JvYuz00T8N -aNqg90Y/iczzqgsGVw81QOvdtK1iMpnPP+yyPtLagBMzbLZKfyD1NodW9Chu -wJn8CzNnptCQeZl/5HVqA/ZbSnZ/JXw8Z2texYsGOJ87mdOYSuZrp86rPx42 -IFl9Q8znjzToOG0vMc8G6Or7Bb5Ko9EgP9m61aEBfZSjn98nGjcjQ92PnmyA -g1+Nr0s6DUvnCFvnfQ1Yeyb2oUkGqd/foa/9lRvgnzUcsSeTzC/Gi9e/WdmA -nU3PP6zPonEkMPlvvlgD5g6kVYt/plF/k7WobbIetUJrOGOEJWr23vg+XA8P -j++Lmdk01Gec2TTVVY+xPdMHqnJozL2Rv1a8sh7rLpvd/ZhL/H+FY7cisx5V -C8dKI/JoFI3d4G2Jq4fn6nphn3waEz9GSncG1eNtaLuZYwGZL0RZ/bq36+Fs -NC/tOEi86QbNo871yNSxEttZSOb9mQf+O2lej6mdHa6ri2gI3O5pPX2gHmfn -WQ0IFdP4cl9MwGp7PXzcxo+NEDYUvHTbZl09Hu2IruktofGrxl/jnEQ9JAQ1 -DMpKif44/7fbZlY9Fj1qb0kuI/E+N/+uJVUHto2l1bNykk+TQcKn++uwZF37 -n1sVNIJMRjuMa+vwyHxziF0ljYcuZV8O59RB1//stqNVRG8k/FX3vauDldw5 -5vZqGkeH68p3PKuDTIxa0MoaGjdcZCI23a1D/Jla/Xm1ZJ4ZHXu/7HIdtmfJ -CvwiHBDPmxK2qANjfG1dTx3RJ++ngf8O1SHkcnd4aT2NVyZm1kM76yBwUuV8 -cgON0s4e10b5OmR0b9R51kjs8Yks/ixVh89rsld7NZH5Mmn5kZd8dWg71ipo -30zmDZ9fi+/+qoXJFbfRoy3EvrkvltsxayEWEvJtRyuNErF4q/0NtdD+IM9e -1UbD5+Azplx+LR5mbGILtRN93vkriu99LZiBod9GCK/bvi+QGV6LmyvMR/s6 -yPvxwsKiXN9aVClfE6zoJP7vG9wQcqUWJ4KZq1K7aKw/u6fe0aoWueNPtCO6 -iX6+SErUPFqLd7Ke9j49pB8vS8WC3bVIj4kMOd9Lo0KhSXhwYy3MVw+VG/YR -vZ/5LPCTdC2+bTWa1ugn/Sfw7iFv/lpcOTqgITdA41baqj2Hftcgf9zTR5xB -3q8io/ZS7Bpsfr2q7i9h6RV3KwYaa5AeW72MzaTRuuO42duCGlSeOn+llkUj -4vaX1eeTanBswURjBpu8X34Wr9gSWYMH864ovxykgcMXj3Hv12DSvTrK7wvJ -/30XMz641eDanVHBy0PkvaGrZ+BkXQOmPvem2X/kfR3tuWj9sRpo9L7/o/OV -xmnrp+Ks3TWI1lztvuUbqdeHghqRm2pAOxlMSH0n+tfrGHlUpgarjsnenzlM -Y/H3bev5BGrQUPtEapjwi5UjX7J+V+Ncelhy6w8az4tWtdizq8Fr2KRf8JO8 -P3p0uVJN1ZDq2fc9nkPmVyP2jrKCavy72/U0kEviOXQ9zSWpGjtc+nd5UqQf -yDw1kYmsRqHSQY4NTUPqyJuNxfer0Wwk+eYwj+yfsWujvVs1BozULLf/Iu/x -Y53GwtbVuB7zetWqETI///2b/OFoNfRfHP4m9JvEx3j11iO7q/HlhXLGb8Kh -7LbenxurUfdD13dglMYkJ+iTv3Q1jEtumVf9oVEY3vNpLX81Qo42bfs0RvSq -ZWtfwUgVVDNUFj//+39/LVQwZlXBd87LSd9/5L03MDthuKEKx3XmfnUZJ+/R -VJ8DXvlVRCctOk5N0OCKiS+c/74KZ+xja3QmyftWaNOs1+FV+LqwrHTLFI0x -L2MpBd8qaOzOLV48TfrVMrHjua5VsHznWTZrBg9Lbds+7rOsgg7fRO0Pwoff -r1erP1yFwr+KXe0zeTg736/fcFcVbi9d+L1wFg9Jjy4ndslXoed3yHTibB6e -DtlGmEtVoXs6STp0Dg/PP7ET++ZUYfrN0e1efDxYnLbrN+dV4tA+NzOHuTwc -WOai3D1QiYWbxO+c4OchYNIzwaiuEtwIyRQNAR5OdgnsacipxEvcHJAT5GGn -ecio7rtKjBeoSyyYx4PVrOjavNBKtCZqH5og/HTx86KtdyrR5+vvPyTEQ2au -RFuMSyUe6fHXNgrzsKfLa+7CM5UQa06enyvCQ/gWMyPvg5VYM3HZ7I0oj8y7 -q4t+bq+E4MODCU/EyP3vG+qbrKuE6fZN4x7iPGQvOv+zcGEl5r4TPGYznwdF -HitJbmYlll/uTDy8gJz3bdv9h5wKdCx7JLBjIQ+88C+e3J4KHF211HG1BA9a -Tnb+R6sqEDjk0SCyiIe9L7enpWRWwLYocvsY4ZUarTzhuArs+Hv5DUuSR+o1 -46B9YAUESkcX1Unx8Jk2yiu6VQFdPRn/rMU8hG5Q1JF2qkBmWNPMGGkeNi4o -YjmbkvOyxW8+lOFhMbzCinUrIP+yZvzqEh4eSP5nKaFSAcONozctl/JwodZF -y2ZlBeq23J1tsIwHXetnqmmiFdjr4PBQTZaHXZuaNKbGy7H8QcTilct5SNaN -NN3/rRwaGwXeCa3g4fIrR7+n7eUY7X6nPko4/HdOVXtJOXrmX2xkrORBvnH2 -siUfy5Gz7bBDzSqyv1++9+kX5bCM2cGXuZoHFR2LP88DyhEQuibu1Roeav9Y -3+y9Vo467Vm6AWt5eG+zZ6G0bTmMqsq+u63jYYfMhc8nTpSDq2oVZCFH9nOz -dHq4pxxVPtW7Dq7nQeJVyJaSzeWwCKO/qcrzcDTo5tQfmXKc2F8dsWIDD5R4 -cM8GAcIn9QyENvLATj5YZva7jMxpZjNHCe+uXJbrzyqDq9rfz4xNPKg99MrL -aihDk/xC15rNPLziDVWy8srgVRSlkLmFh1VFVQNCiWXQPnOP80qBh/n+z2co -h5VB8lBxSsBWHjSSOjaY3C2DSIWO61VFHhac+Hna81IZltJT2y2VeFh79URE -9JkyCPSyZhgo8+Dadas392AZdtxlVaupkHoUGVzXtb0M95u4z1aq8iB14Y/7 -yNoyKIdN2Air8ZC+cnODyMIyvAz+p/KHcK3s341rZ5D1Lj1zWdt4EF/T8Ej9 -ZymMip52127noTJv1cih7lLMmCucmrWDh2+admfOVpSiOX73/Rh1HvIaxGqd -00vR8U/a4tFOHrpMn+y68boUxzWeqF/bRfIhzCTl/uNSvAp7ImmtwUOzUP/q -QM9SiC0VHjm0m8R/blBEuH0pEsp/N2/X5CH39ZDYC6NSiN/U+LR6Dw//FR3y -fa1N7BFtDRHV4iFGcsdEjEIp6pUS3f8S5peRuRSztBQDAalmg9qknsStBl8K -EntiO/Y07OUhQdDHKGq0BEU/xeRydHg42P+9JIRdgi1l+qJv9vEwW0lE4WFj -CaSc3Uaf6PJw57LpM+/8EsRK3Bm4rsfDlg7Nv1cSSzBea1V1bj8PHy23nrQN -K4Fo8Jz0o/okX/siU4zuluD2AZOXOw/wcLWfM3PvpRIYFhwKWHeQhzmlUYe2 -nClBz6tW9/kGPHzIEA+SOlgCq4BemwnCr+Ly6qe2lWDllOHx/w7xYHZQdPbg -mhJwz27e03yYB6PNV7ZUzCf2TRluyT/Cg3qY+dF3U8WQF85d+u4oD0deqNrf -Hy5GTuxhoeBjJF9WXnCz6SyGSunU35vHeXAqd3HXLCvGu+M5X+1P8FA9mXxh -cVoxfKVdOk4Y8rBhOvAk90UxPCpFy3cb8TBZ/UClNKAYsiN30+WNeaiTnzUn -7FoxmhYVxUicJPqaZFdmd64YXgEfn04TPvJ+3TW148UwD9O59d2EBw+990tm -axYj7qz9+TZTHmQcLFPqNhbjFmeeSeEpHqIK05WeLS7Gc0UZnfdmPLwuE39j -zlcM6X93FJ6Z83A+i8G3kleEtROqMt6nebgS/cSQ3V+Ezvplc5zO8HBf2+9p -bE0Rfgyv/2l8lujLbtVsy89FuJai06ZlQfL5x4z6ZW+KkHfyTN4mSxKvi0b1 -HYFFaJljHSNlRez5GJ395FYRPD5r3p9lTfLTcs+TfeeLUGjEdPxJeGI04fDf -k0VofqVyqNOGh4IU7T+JOkV4t3vdlpJzRG+fuPqdUixCVXqMyAdbHqbPvJkp -IFuEaftnw+F2PBxP2WP1aV4RRF7/rLhjz4NQe3KC+Z9CnPcJiXF24GGcY9gx -e7AQMxe4e5o68pDY8/z7u8ZCNCp7H9c5z4P1Xop1ML8QHxJfyCk48VAW9Ak/ -EgrxRyr3n/QFHkbGD98OeFYI/fGimjnOJL5X5desv1OIZWkvIrmEMwsSEosv -FiLQfZdd90UeLhmrLTQzL8QCG1/FMhcS77uqp+n9hfjrZPc35RK5/wkRv3uq -hTC0qS6IvMxDRvDqYKlVhXAZi/C+58rDpu6+m/GihXj7qVDL5QoPwdPaTxxH -geHx9dOn3Hjo2Rs/4N0A3FqQn73vKtEnnbThkHfAq4V2l7a683DaYHNarDew -YlR83ZJrPFQpMBU/nAJEA+I6+Dx4OKb/zCFdGTh7U8iXIhzuKWGSKQw8Oqag -2HOd9Outqyc+fSnA1nN/O8s8SX6YPDBMLijAe87xm6k3eBA9L2IRE1aAnIk1 -slE3SX+xdVsW7FKARVdNcu/d4iGo3jfAS78AUtLthi5ePEQnz02wW1UALU/f -76du85AanH3l4Hg+BgWO39jnzYPSM+ufG1rz8WbOynlbfXiIO1I5f25yPjbe -7wmWuUPiMZDI6L2Xj8hbDtJ8d3ngG64zSTmTD9UPaZFcwvqRv67d3JaP9uQX -Ut33eCiJ7NPUE89H9DeJp6W+RF+WHUoS/pYHq9cTs1Puk/h3zMqvK8qDwddd -rhF+pJ/MhIt/ZB6M4vL67jzgwdNYq1zbNQ8Nj6z2OvvzEL9IP2/0YB6+b1kU -ZxJA5psZocfersnDTnbOtPZDHjafYt89NpmL7R07jDc/IvPTN9pwrC0XKfzX -4qUe8zD1+2Zh5IdcmGqZ/Zr5hMRbX6d8+/1caK2o2vGD8DeFmeeaz+ZCUSz+ -evtTMo9ccYmy254LI73ujMJAHrrPHbIfE8+FW4PecGIQD9pNx6vvfstBqGer -TGgwD9v5dhYKF+fA4IeNjlcID36N2P80MgebH/fZOYTy4OMdaSXmmoODEavu -nXhG7Bu6I+x/MAc+4oujNcKIvw1U9s1YkwN24eskuXAevt62Fro8kQ05rdjM -+RFE/+srTw+0ZmOKms4eJ1w8LbNzf3I2nMYiM79EEj0xF49JupeN9Xonkxqi -SL95fyZQ+Ew2vgdLRWVH83BPMZffXi0bDWYFPrHPSb9O6Z4N0WwEMTdbP3rB -ww/rS3fn//cZPzbt3+X+kod3Qsp+Z/EZHYJcEctXpL/1N4skhH1GG/+czgOv -yXlBsyU4Fz9D3sM+UiWGxMPEPWLL/s/YfHnSUDaWrO8diHZc8RmXKmP5BeJ4 -eLufszRmLAtCC3al0YSD95xY3NaYhZK4t4Y9b0g9sAsezU7Iwq7QEk7pW2JP -NcNzs3cWNmVevv0hnuiNkD3zuGkWboYFC4a/I/OD6ux8V8UsON3j8/dOIPE6 -bCHyVDALWffjZ55P5GFh76ameGYmUi1MXAzf86DTuYg/NzsThx6OtmkkkXh8 -rkiuCsyEpqaFklwymSccOSUtDpmYa+t6T/wD0X9D1f1dWpkYiRVp+Ev4gLHe -jm7pTMgeFxZjp/Bwvaw+tJ3OwPVbBvtqU3n4X8NlHk7l2kZxaldUinQ0CKUy -dFJRhi9SIUdoIBokQ5N0ipQGndIOmYdkyBAZN5n2YG9KsThSpG1KTqZSiMgu -7yui8D1//q73j+d572vda61n+MJl+7oaAf4dyPEQcIl/JveEVKQK4DKPEZ3M -I/kzr0qZ4yWA3+wteQGFFDZ/LVNKsBKgnCdXcoFP5jHgdfuWugAasQGlRwQU -OlWTTJ3EBdDudS4yKqLQvLX+vEErH2a3mRl/FpPzNxX9kOXy0ThWGrD4MfHv -4LGOz4F89DJHHCcJe+/UUxY48SE1Nbn+8xPS18tXPPfW42PgZ6GoroSCfb9Z -hbE0HxJp3zKKn1IIX+C0lNFfiDP1QftSnlGQ/82oBgqx4ZedKLCU+N1Qa92V -+4XYaqR/26OM9KVo5p/q7oVgH58hYQcKgzIJHS2mhQgtCfAxKqcgMfWi65Zi -IRaYpn1fV0Fh3ClLZ80oDzuT1axl/yX9RNDWUSnkwX7sO+sXYcMv040OmTys -UWoUdVdSULATLP5xg4dt/ySrv35O4ci7uHR/Gx6C52w4xK+iIMr466bseh52 -29hcffCCQqaHQ0riTB6u+fUG+b2kwHPymqfUzkWThSD8XDWF7YwtpUk8LhhD -sXdsash+OajzlwRzUax7zM3gFdHvJ1oU6sxFtH+b2ZpaCmvcNc5N6nGxvbRr -8fzXFMlJ93Wu0lyome5sogl72FirNfRx4CstZLYLSR+IczupBQ6oMJuVlXVE -f8+OdkbEcmDHyeLk1JN+VM2J7D/PwbW+GM17DUR/mxlMg10c3FAUpXk1Uljd -NcgKWcFB3BNvhnMT2YdtE5J5fWycjPrjoNkbwgfjNXVj2dg/cev+xmay//ad -FY9N2HiXH1wt95a8j7yGijfRBehsF/8ySdgz95v0w9QCJCpwf/a0UPhUI/Fq -5n7y3fPEWO1/RE9M+y6HqXy8Mevu4b0j87eSsuLk5UPsxER5fCvJy0iDZT/t -8jE06BHCbCN5dnaujo5kPhpdFpm4tFNgtsZknC3Og1ph+sCeDgoL2b+dY07l -Yd70V+8tnRRUQo/+XSSbh2ghX0z+PXmP9AiJ3+dihqjcXfwD8YeJ8wfb3XOB -ay21fYQLum20Pijkwrr2yeK6LpJHPgl7W2tzYOC3wZz/kcKFQNvsGq8cOHqP -/Z3wieznlUQDjmoOBK9bvJjdFPwTmBJhbx/BVRB26XQP0aPUUkkn30dQyu84 -bNlLQfvxJX11zUeosfJV1/pMIdoi40H/+2z4nNrRu6SPQovJE/Xk0GzMrmkM -mSTMGCz/sHtrNuSvjKzo7if62Vf9dLAvCxleJ+OqvxA9mLeX+MZkIXyoYzJ/ -gPAtRpuMcRbcqSV7ogYp6B7aIxf7nQVRdt2da18pRIqXnZNOZqFh3ZOsY0MU -/vM81sa0YKHZN5xnJCL5el7Tvu9nJjRyGCzVbyS/zxl+M2ZloupKw+3530lf -Lgq4G3sgE0MPMncNE9a1Wbjtg1gmRlN1ht8OE/+SbhlWKMiAYfMWvxKK6Ner -Pdf6aAbKd+6fSqYp1HUonLkpkYGbBbqOviMULC0SVicL0iEfHMdy+UHBMdqy -nX88HRt6FZstRilMmG4MrViYDrHTl/s2jlFQ5epvfv4sDY8MdnXJ/qTw872r -8JkrYTmdsjHCrvGcQ7lyaRDKiJjt4xTMTs+qj6hMhUuBjBomKKwMsN909kIq -ysuNC9N+Udg7nn1tq0IqKpzXKvv/pjBwqSND7FUKat/berpOkv8508d9diUF -ftkXH1lOUYgQf/LAbXUKKnYsqdg4TeZp5P18fcpDHFTtLFkkRuPAi9dTLuPJ -SKk6GvuDMHvTlk/h1sn4dljtwDtxGh/vBp5JzU3C1fa330tm0Lh+PDHkISMJ -1YMjbkkzaQQF6e8KOvYA6TxZ4S0GjTPW2hEORYlY9LJ07vFZNNw9rE8oLUyE -l/QNVZPZNCqmjjytdUlAMqtZWWUOjaSr0pEnyuOhxTb/PUeCxkSJ7vvPS+Mx -pedQ+IWw2NyIB7YecZiUDf2rVpKGNuNNFbvmPi6z9jzOm0tje1bpgR+r7iOq -bOms8Hk07u6dvUPleix+OTpquM+nkcB29jNqioF+WMSm/VI0rrbeXm6+LgY7 -5ssu0FxAg7NF7reBTzQc1u6rkllI47N3rbJ8WxR222fYUoSTXlsE9mhGYXqV -W1mTNA2Wr6FKfNA9THnPmObJ0OA5mo3qfYyEBZ8rF7WIxumz86hKvUi4NFUx -LsnSuDSpIrv17l0cNPGptl5MI4LpztKpj8Co5WpnrT/I/C3Zh+pvhsPHs1Mo -I0fu36GvYbg+DGe7O6SGCadvN1zu2xYCsyyTlQ1LaBjLtskkBwajv1ODwV5K -Y4GvxpwInSCoV7Aehy0j8zCyGrLtCYB/GNfg3HIaWaGHi6lIf8jrG0eYy9Oo -VLQ6fGr7Hbyc2slWW0GjVdu4Mv+rL/Lv+CbOVqAhF6o5WBvvgwutr6x7CKfY -LKuE6W0ENVe9qVCkcfFqzz+L+m7h66y5Cg+VaNwrtU/av+MmFN5Ka9xYSc6/ -79nwv/jreJGuNePIKhph0+MTwuGr8AxKSdBWpqH0jD1Dyvwy2DL2IzKraaxz -3yMcTb2IXIn1UiLCh0RTTDnaHZII/VSzhoadSOgbnXoW1f1xHplradgmbHZz -2XcKkqG9RUwVGvwNwXKK445QGDEpOKpKI1UobilnbYvafitrHTUarkf017od -2AVlO/tEaXUa/wfYC+FQ +1:eJwUV3c81t8XF2UUMoqSwjPtvffMSlkhkZGZRFaUvUf23jxGSqVEknQOlewU +5RsNSiVpomHU7/n99bzO695zznuce5/PFXEPsPZkZGBg2E5lYPj/7022xoCq +xTDMIdu66IRvh2DpG5GfrgTgWTdvy1Ps+6D+25WF8URftAzb+yH0KxnuN9Q8 +LX3riesrn6o4rkvCcGDMv1enjuNVqVr/15fkoNool/19rRsaHGBqmfmuCAW5 +ZRfrtFxxy+ns+lwZVWATlcxt0TmG7MQen2OeGqAiauKj5OOE266pPbAt0IY3 +e9p7n045Ik3UWpT2SheONPIvCiQfwbImoY8+gfrQfPu69yNnB9TojE7r+WcA +J1WjnwkdscctOsnUt+eNQNstwynqtB3O66eeWuc3Bsn/hhU+1R5Gbpa5X4q1 +JtCyqfp7+ntbHGPLXb0qagZv7J1ZD2naoppwpkrqVXPo3BR/+kGNDWqmzDyb +kreAhkvsO39w26CN+71/3e0H4Z66UqdCljV2pLdR6/ZYgqdKsJjsDmtU3SMk +fm/aEoI/rvg+oFkhj6uFo3G5FUT89E38q2qFJ3siTFUcrSFfmvZt6zNL3HP0 +ylTpLhvgZJieV4mwxPDxF4dDn9mA4JdZyU8ilnjvzZGER/m2kA3c7VrVh7DO +ovvqFcvDIMSqrXiH6RA6qJ17uIPDDmQVk18mBh5EtzYWG7YBO9ApEed4O2eB +u7USMrMT7YEtWeu1sqsFXvnvonuzjgOMF/ir/Zg9gBvlzrGuqw5wLOWNbZHv +ARQqR9vWtiOwYXq85fpPc2S9+HFX/SlHSPrgaPkq1RyFjSMfq4oeBd4wX2sU +MkcrlUGH4NmjMMJk3bC5ywx/XSw/alfmBHufJ/51cTRDMZuq43PWztBw9cS3 +zA1TbCQGPBXadgz8C3gIlvWm2Pl08NfWe8fgchk3zf+gKfI+Xf5+4awLMLHb +WLaumeDgvKfn+i5XqP1if/RLswmaLtZ1xYS4wru1vyMrx0xw77nDH189coUO +Az+Jmh0mKHFd4ZGAhBu4eG3h7x82Rusn3EaKyW4wH/Ke2TzFGAVzY3ZJzrqB +0hOdf6yGxhj3iMTJpOkOLx9kHJ5jNEb3zXffdha5Q86+uLM99/bjDumrB6y+ +u8M1vk8Dycn7UUazfWXA/Di0C1xwETTfj7/vnEwiNR4HBV3ydz/u/eg7m1bu +xuABpwReX3J9boQciY/G4hw9gO+DOfcHmhHyPJDrTGrzgOfeH+cW/Y3Qo93t +jT+nJ0TU/mV1UzdCp3Wxp+o+nsCbM3BSgdUIF+983vG5xxM0/z35aTtpiCI1 +TSJJe7xAyU0yqOOCIfZOXgplCvWCsBX3KIsIQ3zmYpDiM+oFAut/zm49YIhs +a9oDbVRv+KlrkPBGyBB3bmm+NB/rDd27guwHlw2wSflC4eYpb+DjHzjcMWiA +X0vqf7Aq+IC3d9+p6loDbGVMo/zM8IGvL5T2REQYoFe/bO7wnA+4F/DYaFgb +4FbYnXdeyxckTpGSXkoYoLWqS6JykS/0Dxhn2zMbIN8XqZ7BL74gOnioo3ZW +H6Ny71SaGp8AY+7Q+rZufXz8ZcepG9UnwNvO8EhamT4+vfIhgfX3CbicsEl6 +d7g+vuIdkzK19ANXydAhZzt9JPIN3Qpt8gNB2T0UKyV9vPy7NSCL4SREGF2K ++LxDH4+8YSrPdzgJBsuLhlIrevjlb3Nc0rWTcFfrndG2Z3r4eTOjjwerP1Ce +KobFd+ih+NeVXFlXfwhwus+SVaqHZX9adRc6/OFgRb2bWKQePjAbuZG7/RQ0 +E8l7LV30sKrquBjV+xQcJgky/dXXQ0tpyVeX7p4ClZ6jbDJUPcz6psq5ly8A +3ttbWb7epod1wW3fo/wDwLxiSHjbd12c7HneM3I/ACJpcx+vPtNF3+mnjsyc +gfBCjkPn4R1d3FOaHlepFghiK8rPLOt0cXlBPEDSMxDeHtyTbJKuizoGgVo3 +cgJh4WGFYfNpXfQrLtoifycQmlT1yGFHdFGlb+1104dA6FvqtW/U00WadMEc +P+9pMHHqoKiJ66LwzBaJGO3TsBZo+lOCVxcTv5oMvvI9DRfmOZJ//9ZBwbWX +/ykXnga7uSi9Q8M6WJdQdjIFT8P46kyQfY0ONs4blI99Og2WErkl7KE6yLb/ +UwQPfxC4BDkdOWGmg0MVJnst9IPgbUhH/ElhHVw62lga6x8E+xjZWLb/0sam +rjnGKyVBkP2Cfd1iVButbnqdfHIvCJYPHyglN2rjxLL6x29fgsDcs1k5L1ob +y230z7MKBMPun6zmOfba2Hjpifduo2DI3v/9hKCcNrq8WsskBgbDF203Y4Vt +2ujIZsVFLQ+Go1B6+fE7LZQq1mUg9QWDzdKmuGXUQh6rnlMC34NheoD/fkmF +Fi5+Lzu5VTAE4tE/sytcC5mGvLYu7w+BHK32bY6HtfCdG7/D5OkQkOmdSDgt +r4WSSwGebRUhEGHKZvlvuxam+fDoZzwMgdOKPK8Zvmhir53nxtEfITAl6X0j +eFgTwyrVGyl7Q2E46Iz74WZNbMYm80/GoRDK/SO/Ll0TY/yn1y4GhcLVGL5N +Tic00Tze/IF7ZShcV+UIiTTTxKCTpJs7+0MhZcb4IaOEJhZvvJju/REKm7Lm +5xa30fPNdQ1P7A2DzCmZPtXPGnj5c/X6NpMwGHf+HjQ3qoGC9cI8TUFhYKfL +uenLNQ1k1+3K1a4MA5fClXybfA18WKiS+uhhGGjKiTvxhmlgL9/0pqM/wuBv +20iRxBEN9NqsuG1W8AwoZMpmlmlqYHKs5TU34zNQX+9VcExYA+PFjDdenD4D +PDkz7GGbNbAp5NaGdcUZ6FpldX89r46NAoe67/WdASmh92ylI+r48JyLscz3 +M6AnAIm1repo721woXBPOBz6eN/pV7E6rgHD/E+jcGD9cJdcGqWOv8dKdtgE +hsNoxe3IpOPq2PN9SOVSWThcxbssXabqOGvH4LR+Pxxs1eNCVWXVkVdy23nT +r+GgtE04ap1PHTu1fz3O3R0B5N8vXm75q4anDJdVnhpEgMLE9DGbd2r4K0a4 +n/dUBGQdfDv6dlgNrRgdz1uUREA0RXjzzTY1dKgxyorvjQDFSwvT/RVqKETO +n2xdjABPryz1PUlquEPz9ulXfGeB8oV322V/NcwxFPDaoncWLtSx65y1U8M3 +l1e6qX5n4aSf62iijhpyNxrFGxWeBbLS3o5BUTWUWZe/cwzOwqiRyYYZjxoe +sskOCf54FpRkr1/avK6K1HqmtgTec1Di2zf6850qftp6OCFb6xzI+PpFC4+p +oljKn4Ui73Owrjc2HntbFbm8HJZKc89BwgWzL3wNqqjqNFhf0nUO5A/K/pjN +VsXrleEs+e/OgUNpK+vsWVVk+11GTNseCeZpXS68Xqpoordz0zm1SAh7MSQW +bqWKaU+mLvgcjwRT+6lKTi16nHtTyDozEiSpir+eiqqi/JRfoEpHJGgePhY6 +skMV34021e6ajQR27d9HlxlUUZd87/bK1ihw2Fz9w/SzCtpout4bVYyCzuXH +iSPPVdDoZ1dv3bEoIDyedIvuU0GzoZ0YkhoFGmv1L47eUMH4Hz29eq1RsBTS +a+5Zo4LinfB464soMG1RYivLVMHpYp7lR1uiIVjIN+jPWRWcaC2SzZWJhjd5 +O+fjfVTwerlZ1sEj0cCuITmqZKeCcuXLvKwJ0UA90ZPBbaiC31O0+rsvR8PB +1V/pO+VV8M7pvusBz6Kh3eGzqp6wCsbpC0/uZYgBLpnGLQWcKkhS6tDuF4uB +Yw1rxzk2lPFiE/fXUzYxkKCcNnD5kzL2ZJ/8wh0VA7k85VdPTynj5/17DK43 +xkAs296sowPK6MRgt3RgLAY6/qS9872ljBz26lve/YmB0O5pxYoLyij9wxfu +cMfC17xzf78XKWOztqBCEiUWclflH55IVsZv++pnzDViIZplLx9zmDLe2/V1 +kMsyFrT2lYTc81TG8Zcry+MesfBor+op2mFlLNrIcSuMiIXYr7dyaEbKOFFW +wXs4Kxb4z373u6ekjFuX5jh462JhaLkvdzNFGeGdms2jjlhYLhIu8uRTRs8E +l/dpw7FgWTvN+Z5ZGadndg7qz8bCYDfkJ/1SwthQ3k2rK7HAdiP4rsG8Eno1 +/cts2RoHIz5B4sLPlXCCOz74uFActKszhAoMKuHYL+O2nYpxUF8krCXfpYQf +/3tj3WcSB95zGUTvy0qoNfbZKtQ5DozaGgZvVSrhFdfFG4SgONgtH/yMkq2E +vSn+50aT4+DNVO7itVglVP+4fim8PA4SgqTb7IKU8Hooo5HItTiYUFl/yu+h +hG1vNh3ovx8Hc7aS60uHlRC/uvb6P4+DS2meTxaMlVAuuPwS95c4UNl+Z8u6 +mhI+Wf3J3MYYDx3XLxpSJen1WX8+t+WPh3ghZp2T+5RQomWcvCwRD7V+/xoG +uej4q38s5urGg2ovj6Q+kxI+e1EvJ304HtQstiQ9WVFENRXyz37feGA3eel5 +bl4R3Z6jpnt0PBTrTidqTiui7dIVltW8eHBNDC7dOaqI5dOKR3IuxEP0LWMn +5h5FLF0/o0C+Ew8/y4RTONsUkflma8mtsXhwXvwwIXVBEffbs2aYvYuHklja +Jo8y+n6lavbpP/FwPPTE4LVMRTTXqRQ6wZkAjzN9P/PGKWJIHH/fL0IC2F4f +F8sMUUQVDgnGRJUEqMuc1RH0UcTvjxeech5IAIrj0Dc8qog3Rl0MSlwTQPXO +vb9nDyniB4byA8KhCcA39EPSzEAR+VuqlhrTEuCO/GkdaRVFJBzwUZesSoAb +IQZrFAlFPNmxRLjWmgDb9x+mKAop4qMcvRb5hwlwlS005TCvIorfMZq9MZ0A +7F6H3qezKOL4/YXbCt8SYGTlxLaJNQW85bNHu3VzIpjzkFD2mwKSbAZPyuxO +hDMdTaM1cwp4/fsTk2apRDCIXd5Eeq6AZ132TpD1E+HP7WHy7REFLB8+y1Vt +lwivC+4wH+9VQBGdJ//4/BIh2Ik7aF+HAvb/XqrLjEmEuufPlBabFZCF++Jf +xoJEiO0aFx6uUcBrl/u5zzQlQpdAMuPdQgWcJ+96/fFOIgRyCTf3pCtgxeNj +PkcfJ8IV18RPz2Lo9Xy8W4beJYKsqkHhRogCTux/166+mggv1ovOKp1QwCax +qqgmziTwkHU7Fe2igL/T9rPuJCZBswfV8D9bBfTwKbKPVUmCCD2uMX0zBXyX +qeW/YJ4Ey2Uz77t1FPCZ+6KZjWsSxJT8djZVUsCp7EM/bockQekny23vxBUw +coHHUyQtCVT5wh/kCCvgYNvj+uTKJLDD7OMH+Oj6tavcWLieBIaCZt387Ar4 +R2Em16IvCeyPfLj0Y5MC7tx5Qr9lKgloJIUtL3/Jo+6BgL7tX5PAUSW+4dln +eUz7EiUUwJQMGT9aPF+/lUf+r/KHRviTYYJFUPjXc3nco7zHXlwyGbqlm1r2 +jsnjlUMPVZN1kyH6fftX6z55/EW9szJjmwxdBqQ7RXfkkeIUn63umwzcgxbf +51vl0VGkkSU/Khl4rZhPml6UR+VumstCbjIEL5ew3aqWR5aq9RLdxmTYtb3v +gmKRPPaayLcX3qb31+0hwXl6f+xs/ziaDOeiZVzsE+Tx5vFtFZpvk0FKkqy8 +ESGPb1JrfLN+JYOHHintWqA8Op/5IPR6Wwo8ChNQPe0tj1xPbVFaOAXCo1yI +Osfk0cbB+kCUYgrI69yQEDgsjwpuVg8GTVJgnaopz3hAHrsedkryO6cAJTxp +1y99ebzbMZ/gfjoFOKqj8LeaPPbfPzh8OSkFRKtC2Fnk5DFn2JDlZ2kKWIUI +vBYRlUduRwll7aspsJwTtcdUiL7f3tMxqTcF9h5ia4jkk0fzswdCh56lAE94 +ossdDnn01FBK5fqUAp4j22VYt8jjD9q5Att/KWBWRvrtsi6HGy9PlRfzpgLj +gfzqe0tyuO2FW9VzairoccdvVfgkh/a/LlYJaKaCWazfvqtv5FD7VXqlo2Uq +3DHY26M4JYeUkSMVpR6pMD5y87++x3J49bt9xWR4KqxzN5l7DMih3K5XVTsy +U6HK8BoDR48cslTvbrCsTYXPNS9e4S05fM3ifi2jPRWaFFNGYq7JYQb7p54H +A6lw8frhNtMmORz8sjr192UqsBmpnttXI4e+YqPryj9SYT7YZ+vfYjl0IDSK +nmJOg5QNb7P5bDn8snjNpV4gDW73/iO+TJFDhreidc+l0yC1VTv2RYwcnqg6 +tMxhkAbPusJN3p+Rw5tFFrZ69mnAet/IazVADjdxH74f7JcGMbTYe7t85FAr +t9qoISYN/hPeb6bnKofUNOvnT/PT4P6/pblgBzns/1Yeu6UpDaIYRKOvWcph +9PuLmop30qDyx12GXyZyyCp2gdN9LA2O9I3bG+vJYe/vzl9Zc2mwSrt7qlZN +DleFtv25/TsN0jftkNsiL4d6xVd437OnQ/pQXXqQuBz+bn1uwiWSDjeiwr0/ +EuRwXL2hVE0pHSoPPrvhu4fOT1uJxd00HRSOqDst8coh+42KvDTndPg1eMQi +mV0O7xds1rp2Oh0+7xQJIWyhx+RolmdJ6bCDcqP74YYs3o2kLq2WpsO5Mh/+ +sJ+y+KmOd5PQ1XS4uenRKamvsrjx97C8fm869O9uuv75gyzKbbCmejxLBxPe +jyM3Z2TRzUmbKXkhHSYnO6+nPpfFLHO2hsa/6dBrE2J+/Ikszqr7nOrjyYDW +3rq0/UOyGBAd5fqOkgEp/5iOyt+XRY03ByOZNDKAfTL2KqWb3l/lY6/woQxA +Z6Vg4k1Z5Ok8qKR1PAM8TPxKRFtkcWXt/ITDGXpsXMah3CSLe+qu1gZnZMAW +T+9e81pZHO1urcyszgA9r/pG3zJZ9AurHWi8kQF20ocuZefLYpJNKAUeZsAs +Kbe7+zyd3yXN9mfTGZBbdXdsKUkW7zh8Cvv8NQMOm9hNyMXI4pb5lJNMm8/D +3wKGzjPhsnjGZ1vxrl3nwVwqO+DBaVnchqG/JCXPg6X7+ryAnyyKVXRl6eqe +B0naCb5wD1l8XjrlbGN7Hpi/Ej++cJbFdft+T0+f86DhUGptai+LA8IxF8Ii +z8NQqLtht6UsKh/7QUzJOQ9T7zSvqZrJ4jdG/hdF9efBbnhbapeBLDY6vx5r +uHUe6m0nu420ZPGSmCZT2/B5sFcaNphUlsVD14VDembOwxslDfZAWVl8euYM +aXSZ3u9mCRuXuCwKP1PZOcWaCQGqkdIdRFkcIRgZvxPMBMbFan/PvbL4ujS/ +66tsJmhqzHQK8MsiRxNL8B/DTFBz1GCe5JJFonP6KcYjmdA9OWZUtlUWqQ5s +LVv9M2FAZtbPY7MsXms4ocQTlwkjUDZ5Yl0GP09nMe4uzATlVckggW8yWCnq +yi90MROYi29nTb6VwecqfSGk7kzga7m3gzYpgz0HKveIPc6ECBHmxYghGQzS +fsgu9Y6ePxy5fgxkMNFD3FT2Tybw9B+Ttrohg4+nKh7Lc2SBw4V9JywvyOBb +HpYLiiJZkNrhW+JULoMP1Y0GlZSygGU/lRaaLYNdppKayqZZkPHhTGB5ggxy +uddtKDlngVtv2+LIGRnU3hS6Xel0FnhPn2LgOCmD906kBSkkZcGg56lCB1cZ +VOdsp8qVZoHJztbCa7YyeJxnSEb6ShYoBp/6tMNUBnv/a8oQ78mi688Rl6Ql +g1obgpqUp1nQUSapxygvgz/j1vVEPmZBTm8VXwZFBlnuiVTt2ciCy1y+i0J7 +6PxdHa12cmfDl4x7V3C7DAZEnnHiJGdDiP6u/f6bZfDUO1NkVsuG2BbGWvIf +afRfqI/6eyAbComHLn38LI2aclaFK67Z8F561aLzjTQKUMisiyHZMMUhG14w +KY0rv98/m03Nhk7+AzvPDUtj94YH42RFNiTJ/Mft3yONpmYnM4auZcOw8nnH +Ezel8b0PBsH9bKiOt3gR1CyNTx0UO1v/y4bj1tKJyTXSaNyX5dKwmA2PTfx1 +GgqlcXrz/hvmDDlQ/j5kbTRdGmt+xnobbs0BC5bpBqZYaTQsezasuSMHulxc +JQ1CpfEK5+W3ivtyIO7v18jME9LYl3/8sqRoDiiNViW9cZHGL1+cqST5HHDZ +3ayof1gad6//sd2jmQM6XJHhl83o+LQqlXj254CBZa2OiK40Ls80DLBa5oCM +/5PwGiVp7FIJ4f53JAfenPvCIy4hjQe1vDhWjufASNXaerewNKZWvu5e8M+B +7QUUihOfNHL8UyfOnMkBBqPeqM3s0sg2Oan1NC4HwuyNl25uouMj7uIczMiB +QLQJC/4lhfxyNgV3C3PAyuHST7XPUlhq8WWstToH6gLlPba+lcJWX+37jRdz +QMrv19W5/6SQ43L9qbIbOVBkLfqwf1QKORkixzK7c8A7hL/y5n0prF8VXoh9 +mAP+62oiV29LocHwl67gx/T+uVTDlmtSSCXo7veazoGYpdKfnY1SWDITmObw +Lgc2lZ8UG62Qor+/nyeZfaXzO1Ix8ilPClOyJjU0/+TAwvr+CZ40KRwy622W +YsqFTd8uSRvESKFHz/en+zhyoX2WMhoZKoVHb/Xe3s6fCzG+avXgJ4Xb69Md +GURyIflqLG2buxTusKa1fxPPhb7tt2+7OtDxfnQfnlHMBeuRnld3D0ohmwap +ekw7F7A1j4FiJIVJ9zSl0SSXfv8b8RRpSOEBxc1nW6xzIfMtN/N2eSn8rfso +vsopF6iZ5qM5olKY17RskumVC3VnPJz3CNHxS48MnwvMBSfzTw1Xd0ohX98V +zhNnc6HfKqPMjF0K7Qbfczok5kIQlV36K6MU2h8aHzHKyoU/p6xsKv5IIvHi +A3OFklxYS3TcsPomiV8286YJ03KBT0lfiOuDJKpycCZzXKbXC9C+/OylJB4K +2Gaw2p4LNptqihsmJPFijzO+Bzpe0ycTkUOS6CR/5O+TgVzIXna0d+qVRFZe +q42747lwvO05j2GnJAqyF3dfeklfX2NZU7gmiXqZUTpFH+j4bt1ikrwgiZ6u +hxPivudCPvd/wpJVkvh5V1DaybVcGCL47VcslMQjTwnW9lvyQLsr28fwvCT6 +md55qbc9D/YKRp5zSpBE6EyXlNydB663ooMjz0ri1aJZbT5iHpBWNgzrT0si +Lx/3TgapPJhfODM37iOJQjSvlo/KeVBNjd+/zVUSz0gocY7r5oHX6QEXM3tJ +3Dk9KHfHLA+E0rnJuQclseRiiECDbR50LClmvDaSxL+vEvozj+WBaDspRUlL +ErMV9muG+eSBsfA8R76iJL53Ygs7FpQHqiUVO35LSKLZ8b1h+yPzoNIhNMeD +KIka6iOa0sl5EKrVFfafAF2vWZ/BnTl50JoxfMeGRxKrL2kIbZTS128LOjxj +k0SBqnyNubo8+KipqO26SRIpxl1CQ1fy4PuBax7ff0sgUxPD8PWOPNC6qd+T +9k0Cv+5r1S3pyQMl2nVTsXkJPErkj44eyoMzHpNLj15LoPVEdKLH0zx4ZUxr +j5qUQF95eVuz13lg6bQjSf6RBBZfjvos8zEPVgwNHL70SWC5+GXLnUt5oMDi +QL5+VwInTrNEr67nwb6prDdnb0rgWsZ06GvmfCj4qZxsflUCPzgFqt7nyodp +71ZmYqMEjn/m7msSyIfxF6GOm6ok0J7CKpRJyodbEazh7wslsHOswuC0dD6E +X2Kye5IpgQt8AoqHVfPh7ArPp/tJEljS0P9NVT8fmB8tSd2NksBV/28Rggfy +Qcw/dOfdUAm8fO/5o3+H80GgIrzkvr8EtoeN/njjkg/U/K9XHntKYMuWnW8f ++OYDafDlgXfOEpjiv1LTFJwPFo/sT/47LIFx225JZkTlw+29CUzCByVQzoqW +7J+SD7LLhWzG+yUwuGvj6qHcfMiWnAwN0ZbA9GiuRrnyfCjmrdJpUpbAXd1C +J3kb8sFIz/rYG2kJ/CgevGnlaj6cO+03QKBKINd9K69nt/LBzPl0uK+QBBpk +/y3r6M2H5II195v8Evht973qkuF8eG1/PZaNi+6X/lxIxLN88A82HXBnlcCw +6AYBx5l8SNudrtjLIIEhF81y1RfyweCuyW3qH3Hs3rT3ucByPvAt+VrnfxfH +LYvOP1Y38oFoMLu8eUEcpXUPv5xiKYDb26+XRr4Rx/nL+mW3uQvA3X9BdXVK +HItu+4uV7SkAmU1XBqPGxXH9xu6MCHIB5LyiGLMMi6NJQio4yBRAoGdBY9F9 +ceww/tenokavJ6w7K9EtjofZemr5DApgf0P81752cTyXwW25cqAAdpzuHfC+ +Ko5/5BSejNsVwMZgsA/nBXGs2ewt2upaABW0XfdvV4tjjMEP65wTBdAeqPv0 +ZIk4itTtsD4VUgAz/KkFpFxxzBvgpRyILoCCB6Wrs2n0/BNSj8RSCyBpXJKh +IV4c0940WrDkFcDRi1uq/M+J46p5d+1ceQH0VK0Ma4SIo0fvzaGehgKAl1NJ +2/3F8bPi+FBVSwH4GdX0zHvS8eZa0s51FsC3A1oRD4+J453l04cc7hXA3Pv2 +hmZ7cQwjRowrjhTAaw8B3UJLcZyda5TmniyAiKMpeommdH0qlN0+z9DxJJPr +wvXFkf+jv9/AQgFUXRE7FqQhjtZlKRYNywXwJ3XC77SiOBKu97PE/S2ArMag +B6FS4qgZ4F/mxFoIsYecPGIo4tgy2bZFlacQRv1X9LKExFFiY8aUV7AQ7IOu +2NN2ieOosZT3F3Ih7ND4V9XFLY76ii+cB2QKoflPIPfUVnHcZSQmXa9WCAoC +BU0bTOJ4hd3mv2iDQjAV33KMsiGGRyllTkcsCiEA/SRsf4rhUI5Gl4J9IRQe +P7s15asYWjWHLnO4FcKm4C/Ld+fFMF03gXX+RCEc48yZW5sVw1mvC796QgqB +9FduXGtaDNmOCPaWRxcCueL67cQJMfRg3ecTmloIwXd+FoyNiGEO76ePB/MK +wb9o6ajIQzEsC+s1Fq0ohN1X69nOoBj+PvIyblNjIVzu5ip53CmG/WfPlUy1 +FIJXtckmuRtieGn3ZMaNzkJIUPHWKbwsho92STudv1cI54/lHvjbQMcX2cXm +OVIIj4dWCCerxTDR5E6B1mQhbGMYufOqRAx3FJ7c2DlLxy97ZIddnhgyf2Y2 +/LJQCB5y74lPMsQw/9MDn77lQqhwH3hnnSSGC/jBr+pvIXwodbP9L1oM26Qa +LcJYi8BmO/8J93Ax/FKuyXmQpwh2mx4V+X5aDE8vzl0hCxYBslwMSfQTQ5nF +ackNchEkyiceE/QUw8u2jhkTMkXw7l7E81vHxLAhonygWa0Igm4KzRxxEMN3 +A88/xBsUwZ3vO/z/WdHrixx6f8SiCMJVNp27aC6GNXeVHsjaF8FXrsLNDkZi ++PbTw0QWtyJwv5O2eZuOGB4mapNfnSiCNwK1ob2qYvjAdaKxLaQIxKsarKPl +xZCyD9kyoougWflEkbYkXf96nYNuqXQ8eoMaTBQx3C+TFqKSR+8fflFrWEgM +R9WfRnJU0PNfLRWV7hZDxkfHvN82FMHqlUp9P14xNOB0UuxsKYIe8zoNPQ4x +tO9mncvqLAIGebaoPSxiqOxUEeZxrwg8Zqc3rTKI4UV9i0W1kSIwGJN58GJV +FL+mHzbaPlkEKo4ivfeWRTHu42Lc3EwRTLVMLF39Ikr3w5TWuVAEI32hh6vm +RfHTelNj1nIRtJiqvsl9I4pPD2pkH/9bBBGp9oVpL0TxvJCWkyprMYz58J1I +eiaKHT/mODh4iqHYDo4mjYki432f+tk9xXBFsd4zbVAUXwQxCN8kF0O7xb6E +3PuiqMDyNjZdphgIRlktlXdFUd9r/8NjasVgyer0/sotUXTo9liSNyiGZ/CT +0Nsqisx9gVtYLIphASdcpy6L4i3Guo0pu2JYiQ4u/9koirtr5F5cdS0G0yj7 +Ub5aUYxxsaqNP1EMS7rsK+rlouh4Ud3CLqQYbuqTth0vFMUwY+KMWHQxUGZV +2bOzRXGTkLbjRkoxvLFeWLqbJorTa/e7xnKLgaH0dfePBFFcnV/YXF9eTP9/ +6fMUjxbFAvygdKahGKZNbT54hovigO+Xg2YtxbAmp6fdECSK31IULfd2FsPM +qJXX/ElRjPX6pvattxjuW1gclfEWxTdsduz3hotB1J5x91k3UQyXrHhY+KwY +iIz7y/uPimKT+08/n5liaHm49FLAThT1wor/qC8Ug1zY5xeBlqK4/8vNQI7l +YthK3lMwaEb3rzT18euNYrAT9ftHNaLXj9QRbGUpgc7NTwTSdESxbYbbKpG7 +BKyOm735rCaK84pygXZ7SqBvy1MrO0VRlJSbiBAll0DQ7XDPXmlRbCFJnlqV +LoEWS/3d8mKiKBIdaDGsWgLimYa+DURRHG8d46/SL4HAfSVWgvtE8eqH+JGA +AyX098HR0aJdoqj6tvOUnl0JOO+/Mb2DVxTff7mwxuNaAjKeA6FFHKK4Ph4f +MudbApNPRkr2sIriZ4tzz9uDS4CP8lO3nlEUt4beF0+JKoH6iqgTshtUrN5U +4OOQUgJeXA3c+IuKV3/syhfLLYGbi63yNj+omHkw9dJqWQkMEZcGPi5SMYJn +R8tQfQnsJ3WMJ3yg4ifWLzUVV0ugY/TwAZE3VPwdbhrrf4uuh5+EbO8LKs5I +HrHQ7i2B7urSc16TVFyNsmDdPlwCHz1YJDifUNHw65Hrr5+WAMfGjHrnMBUp +B1pMrr0ugasfiy94P6TirEjsaOzHErg/S/Pf3UvFb1z/9K2WSmDtYVTa6B0q +UiOONopslABD7cVfyR1UFN05+Ps7cynMpl1u02+l4g6OCPVerlIou8rdvekK +FT/blPvlCZRCia4vx/0LVGybcD/vTiqFk/4mtDQaFbP1/lbIS5dC0mHTcOtK +KvJz1VYyqpbCP8Zt5/eVUDH/0tmsJ3qlcN5VbupzHhUFp7sDaOalECLr6YKZ +VHz4rVQv6HAplDPZ7ipKpaKJr85mfZdSuCV7bVNAAhX7mF91cPuWgv+Q7C7z +aCq+rmpymg0qhbbyXAfxCCr25o7+uBZZChI784E9hIrlydFnY5NLIf3gqumP +U1TMM/u0dCinFKT+5CxP+VJRqFzfRaisFOodyHf6PKiYduTmnS91peClnl7Z +7kLFR/2h7Hev0PM/FxVecKTij1stBzM7SqFYnVpbcZiKjcSCBKceOp6je7oL +LKko/86mWWKoFMSW7N9nm1PRvnhf3+pEKegw9+3O2k9Fg1XhiYFXpRDzw9o2 +W4+Ka+Lnn5bMl4Kp97e8fE0qEh/nDHr/KIV+54InZSpUdLrjdEN5vRSkudW4 +GuSpuHh0X84W5jIg/Xph0ipF98Nwi9vE9jKg3oqP6BWl4mk7XUrd7jLgFpWr +fkqk4q9n/16fJpZBmfbSzU/7qBh4PCBLV6oMGLj+694sQMWMFZDbrlIGVx78 +uCa8k4r1i/sGX+qWwb8ix0wdLirm/Ndlf9msDLb1ilu6baPirdT7U2dty+Bc +YvzPJGYqxrz1sjE9VgZxO5Kirmyi6yX6uIffpwwelR55M7lOQbFOecr702VQ +SZEgbPlNwcWFjti2c2Uwck1UXWmJgv9Ych7HJ5XB1m1JVJ8vFKzYPb/LKrsM +GF+Ffaj8SMEtDz7bCZXS8dWqnnk2R8H/9EYzPtPKoL6IdYJ7hoLtsp0dXZfL +4CyIrh2apiBj89RU2s0yUJ569THnGX2/vNuKPZbB0JGQyonHFLRgC2ehDJbB +JRdl3j0jFKwjH+JeHi8Du/ZQE49+Crq3c/P2viyD7X3J6tfuUfDD6Gf2nA9l +kFDS8/7vXQqucG3/5/y9DIr648wsb1PQ7V79R4m1MpCJoxyvb6eg3NLU8J/N +5cAVxiO9do2C/X+nmx5ylsPgy+Ym28sUPB38X1ThrnKo8nMau3aBgsSXq+bH +CfTYNJe2vY7O92Igr5wkPebpEjxdRUGZCY+Jv0rl4D1sofm0lIJZGszZwzrl +8HgW/2oUUnBvf7RBmWk5rAlmuzXkUPATw/p3b5tyyKxVduc+T0FRvUtlSs7l +wPhB9W9MCoX+fd+uxeRdDgw3BBS+x1Nwl7Lp9FhgOQCvx1+PaAoes80Nrjpb +DiGONc7TERSMPHCb+WRiOfTvPHbQNpSChyW/FahllUMAu8zoo0AKVh113sdS +Ug4XVJqmLE5ScClfpm6ithymut1Oj3pTMGIxh0hrLgfTzz+zrY5TMMPySnVA +ezn0KDMrTh6j1998jV8LyuGAqNxRF0e6Hm/uZ2wdKAd2H0GmhcMUvF3Gvz75 +pBz+XA0QO2NFwSNxj30aXpTD2L2nQ8wWFNwaJPQk6H05/Ahd/1BiQsGFZglV +3W/l4FBScE7KkII3NAnlHKvlkLtulXhfh4LdFtJrU0wV8MD/0z9nDQo+az/j +0MRRAYPNAot/lCl4sU3qRih/BWh5VewvkafPg/2ZbQYiFdCkIsuhJk3Bgn1x +blwS9LimROuFGF2/jpD2l4oVIM9U/jSOTMFTpjEszdoVMF7574mYCAV1Dj60 +DzepgMXkXIUJQQpakiMajawrYG/TvpXYXRQcScMlHqcKyOo8s1N2B/28RN3X +mfGsAC+twLzZ7RTcfbQ1/UpABSife+VbuI2Cko+vT5yNqAD/c+Wl5iwUnL76 +da9JQgW8ZUwQ2sxEwT5yntfOzAo4nhX85+5fMgL14dU3RfT8gwfJkatkXEq6 ++bOlpgLGRH7VaPwk4zHLdO2oSxVwIt/2xMZ3Morp+SWbtVVA2/ihmJ7PZKx+ +mDjKf7cCktsnXqZ8JOPu/Qz87x5WQPPFxwmW78gYYL3FtfVxBVy4rRKwZ5aM +ji/hYsx0BQSnrlbOvyDjCbLD8oF39NiQi/PWf2TsDv6lI/C1AgyvnO5OmyAj +j9jD8x9+V0DdVoFLzmNkrIr7NtXGWAknxVieKAyTcefeCvF49kqIt1dTYO8n +I9ej5XOH+CrhpcuNoff3yKgaRngkKExfTz5beg/I+K7bgrQgVgn1iUVltC4y +5gvWnOtQqIS2RO6RhA4y5kXrPU3UqoTwfb+lvW/Q8Xg6y1kbV4KBzZG7B1rI +GE7cnSNkVQlc6fsjFJvJKJpZ9X3RsRIeZIw777tAxm86u+xue1SCVwzfia11 +ZJygNHennKoEj/fUit9VZGRfixc9HF4Jr0oIP+bL6PmWD4oI8ZWw3EM8MV1E +RuejlazfMiqB+sKMcSyPjOfs5aK7Cyuh9Urnrb4sMp7sav6VXl0JfwwLMiCd +jO0jcqEOFyvh4zJDxO1kMo7f/fyTfKMSIq1EYzriyajGwBq1dKcSpCSVKm5G +k/FASSNLT18lROXYjnacJaNB1Y+irDE6X2zn7Qoj42zODgmnqUrYL5d+AoPI +eFlR4b7YXCX0pWx5/PAUGfWDzrj/+lwJwoXORo9PkPGSIAvzg1+VEGIz+OCF +Fxn7/dlb8jZVQfibJMsFd3q/iWZn121VIJs4/PbPMTISebl5pHdWQUXpi6ht +R8nYYOc6vLavCiKrfwoK2ZPxpVTv+QHRKuCUcAZFGzK2bXaxKZavgvH3tscP +HCKjDoOTsKdmFbhlk1i8zMnoljC7JL+/CtS/7bgYZ0zGPR/5Rhksq6ByJtC4 +2oCMo3LEltEjVeCvmzRzV4eM8i1SxRXHq4BvpSZoRoOMt0KPJZ/wr4Iz73es +M6mS0VpkKlL1TBU8WlM4J6ZIxl8yA2eZ46rg7i6bL5ayZJQKsI6dSK8CDYEB +m7OS9PxTlZm0giooGP9ysUGUjDNSj2iBVfR624S+PiGRMaVhO2o3VcHmiJsi +jCJkZGJKfsfeWgUvkFdXYS8ZI0LteKe7qkAlqNjEazcZBbMvmV58UAWMm+vV +ynfS46Cm1DOPqoDpSSX3E24ySo6FjBk9p8cCn0a3ctLr86mI7HhbBd9/LwUY +bSUjQy7fuTeLVUD2ISzFMZPxxSXVV9d+VkGK+hs7ZCTj9flesxiGapjYXVvK +8I+EhadeoMXWaphKGO3UXyPhobFmXcEd1dD3cLo9+RcJm6fsBhf2VoMfk+b5 +4SUS8rxhOtZJrYYsYQ+NHd9IOHfr2VqKXDXoPxnscV4kIefn33V2GtWgnTe/ +9+I8CalxWXZko2rQrVI5+HOOhPo7u3mXD1aDz4qCldEsCV9dbp7udaiGi4eP +kotekvAFU8zVXPdqUFCTGph/TsIeRufzrierYXZcXEPrGQkH+U+GyoRVQyvX +ZET+ExLuM3ns+zemGvZn30z4NErC6vnrviNp1eBYe8jeaIiET7YqhlbkV4OZ +ifhSzUMS/lyPPO9XWQ0V8mOH/94j4f281hb1C9VwvnM4yhlJyLxj9RXb9Wqo +fnXZ9+4dEr4NDhd4frsapEz/8Yt0krA7xdq96X41bDe0TUlqJ6EnpeXmmdFq +EOvSuvnpOgk1trfyG/9XDTvVDtXZXCXhmnF8Et+bahiY22vRfYmEyvv1Gd5/ +ousTo9sqeoFE/97Yndq+Ug1kt0OPC+tIyPhRfG/SP7q+4XNNm2tIGMX4yOXS +5hq4sr9cJbSChOyLgyp5bDWQ/pIr8kMJCY1YK/jOctZA78u3IUcLSWhpYrvu +xlsD5iFtwo9zSdg1xvzRdFcNaDiQok2ySMid8+CF3N4ayO5/ltGTTsL6x7TJ +3YQa+JsWaKKZQsLtmdefb6LWwIO54tZbCSRsFGB6+1GiBpJpy/3KsXQ/bC8t +PZatAX522fSbkSSMjuvcdlupBrw/LC+rRND1W9KXoKnXgGPoV5auUBK6VTpY +p+vUQFvASI9OEAmXFtjjggxrYI1ZW6TvFAnjGIM6HE1rwHPmO+mgH53PldIV +/YM18Ii3fGjSm4QsBUUaEjY1UCv2mfe4BwklP5xN43Wogce7Kte/upLwvbjD +6zWnGnht6JYY7UxCdW49rTm3Grh37vtFTkcS3lY2rhv2qgHGZeaTNXZ0fuuR +3O1+NXDBzGlAwYbun+xySmVgDZjEXcH+QyR0HbjLnBxaA0LrHZYuB0io6/ol +89TZGmCLVQ//ZULCtvHCvfYxNXBJdkUp14iEN273tesk1oBf1sVUSX0SttzK +sxNNq4GmEIGAAW0S+l3fxsCdRcfDzz7vrUHCMVeD1j95NaDLZPiDRZV+PsIP ++L8proHv/GnnLyqS8M2sitxQRQ2wp9e1H5Cjz+cQ/98btTXg+9rp5HcpEl4R ++Tte0VgDRZ9jWorFSRjguN6a1FwDAv/9F6VDJeEDSVL5qWs1UMGp9GyeSMLK +ppTz9u01sMv8eEe+MH2+BFVTdG/XwO4cBWHdvSR07zfOEAO6H5Qz27/sJiHR +uL+E5z69XhVDYiUfCf91D7Ss9dfAvod1kQd5SVgi4To2N1IDOu1Kvxm46PhG +yldHntRAXNf5lTZ2EoacypLumKyB7X6xwSfYSGjz1vRkzYsa+vv6Y6AIMwnf +ib6+kTZLnzdl2uJzRhJa7XfdEvy+Bv5UJL3L/0dE9YRXrk6fakBQM9Dx0DoR +U4b8+oy+0f3u1TFj/0PEkt27lWVWaqCQd/zG4AoR4cevll2rNWBlsLUo/QcR +gzYJKDL+o+td3PfV/CsR/c1zej8x1cKzpAXgXCRin+vJo09Za4H92pEt4/NE +ZD+Kf+9y1MLC3O+7Je+I2OxTcbmJpxYc9l795PKGiAoTPJ55/LXAf841XfQ1 +EffIKopGCtaCnPHv0h/TRPy8zv3TU6QWPL4d2333PyJ++t09eohSCzVsMSwZ +T4m4am/aqiZRC8EmhsePPCGiouiDGqJsLWQllEuIPSKitbB+GYdSLWhfD3JZ +HSKi+6UnVb/UauHdu1sbw/1EjE9IvjqrXQtJ1se21D4gIkUqcGDIoBY0DWxD +w3qJuK+o+mu7SS0M7c08YAFE3KlNFamxqAWK63oa+Q4R9bL5j6Vb18LPqiLJ +f7eIyCYf1xhiT19PtFKYaici1SJs9ZhTLcSNECtvthLxdy+zo6lbLUiYb/Et +aCGiXY3hAwWvWrB69aUw+DIRVY/qau7zq4XmM1ME24tEbKjYBqyBtbCP7x6n +ciMRJcJvWiyF1IL9g3qH3XV0vIrW8y8jasG9IvLfRjURfW2+ZfVH14LtHRPG +uQoiGqTW6t1IqIW3B1ldh0qJqJUbxlCVWgvbk7r424ro/qjFDqVm1sJA4XHR +qnwi9nY8ogXn1ULZHcbctBwimvmGJR8rrgUT1QrLsEwiXvmQEGZaUQs5pope +HulEHPrKFqxYWwsP5cbGbFKIeIeyO1Kokb4uF5ZtmEjEc1W9uVuba6EoRapW +OY7O9wZf20pLLcgG/N0sHk1EHz7K25k2uh5CPzr3nSPiqZ2MQsOdtRDezwM7 +wokYPn/bu+MufX4K/HjZQ4lY/8Ktm3avFr43sN7cHERELn0W4az+WnDm/dXw +9xTdL6U72REjtbB3wfDNHz+6/lk57J5PamGTxKYTP32IyPensMhyku7HgIbm +sicRD3m9kNJ8UQvxl7Y4LLkTMfJ7yBPqbC0Q6gLvLLkQUaMrIJH3fS3EnMn2 +WXEiIo/2K4N/C7WQ9jz06O8jRBwoeMT16Sudv7dqwbodES9dO/zp2TJ9fi8v +cjPa0vUfjB3v/VMLDHsujrNa0fFquw1c/Uvvz530H9dBIjZ2sYyUMdFgfqJE +SMCciBspia+SWWkgmbtxgWRC368xvxHEQYMZ+5FAWSMiOo7rS7jw0GC7EDFC +S5+IcgqNXub8NOBFATTXIaKUv8g1FUEaRP8cMzyqST9f2Q9YSCI0WDp2nPmk +GhFftdD8uSg0YAv7xhStTMR70QOz6+I0UC4u1sxVoPuvZ+bxUYYGF9fCWxpk +ifh8j9LKU0Ua6HS2H+2SImKrbXlBrxoN3HsCdJ+IE3FW87x+izYNll8POC1Q +iah8Yde/cgMamNz+0MJEpp+/DsvBVBMa/B35rLqPQETaG8P6UAsabArc9EtN +iI7v2+ZMd2saBA+ZfLQTpPOn0BIP2dOgZmaBM3Q3Ea8WSGRoOtHxJ2z3LuAj +4n9912vE3Gjwxen1tzZeIj7T2v+Az4sG+94lND/jImJi2q/fTH402ONNLfrD +QcSM0880vgfQ9dhYbtm7jYhpZUuZr0Jo8CJ31299ViI+On3s61AEDQam7/r7 +bqHP3w2qa2c0DZ667OTKZSTi/bljM40JNMg+Zfaq8x8Bd/fuCCxIpUE8MXPy +7ToBvaWObI/PpIGRB8ca5yoBcyQ07wbk0fm8XjPW+EVAtrWRSOdiGnRtS+/2 +WSbg2ug+c/MKGrylLDgWfyeg+X5tMbVaGrxUPCT08AsBEy01+amNNIC/i2y/ +PxFQq1ps585mGrzj/r1b/CMBby/vJDJdo+txt+Gg83sCRrNy631vo8GHXZIX +ct8ScGeVeMDrThqIL/cQHs4QUPR58JWRuzS48K4KN14SsLdsba3rHg0m9dZi +lKYJeJHjieOlfvp87eFyPfUfAU9ZsQyWjNCAZsjv2vSUgPEvLpmmPKHBf6bm +MW+fEPDc+vDz0EkaiIV+uCM0RsDY0qizHi9oYDZE3eU8QsB5/hEJm1ka8G0z +zSkfJCD/9sHPeu9pcPlyKmn6IQE9tZNQ9hMN8mZIE3seENCwhaNe6BsNhrKc +qpx7CUi8G1LCuUKDzXYB8TVAwP7m/sqNPzS4ll4ZM3eHgFnbBNoW/9JAQlm0 +UOw2ASsCwqenmerg/U6r3oAOApbSlniHWOsgocyRuaONgIoHy51vc9QB24cU +13/XCVh1IubWRZ46YBwTHDNpIeCASwuplL8OmqecbfMvEzB0VZ2WKlgHwpo5 +i68u0vHpyMuFi9Dr/fenWOICAW0e1T/2ptSBvP7s4Yh6AjLspCXYS9TBl1uZ +5P5aAgqtqBkby9YBl5gx865qAvp/PyeoolQH3eJ2v3wqCBh+5QwTVb0OODZt +/n27lIBOvZrrfDp1cKi0jIWzmIBPJqaYWQzrQCrdg+xeQMB9MW7EXyZ1sMJz +xbIjl66P94zVBwt6PQFM5cgm4Eahd96kdR1clFkY9jhP9y9my7uH9nUgmBwu +2J1GQMeHg6a3nOpg7detML4UAnZa9mGTWx3MMK1OBSYS8MQjFrNSrzo4Npxu +MhxHwEbG6ndpfnWgxt91VzSGgN+nyvLPBtbBpQPTmsmRBDRx3GbrF1oHFWGa +vXMRBJwWZqA6naXz15E9aHiGgM18qewWMXVwa4l1pj6Eru/D1s3aiXWQGrn7 +DHMQAeOO52yXSauDK8fbeXwDCFgtJyMlnFUHEWOyrcMnCWjcWe3MnV8HKSkz +tnInCGhv+K2GsaQONi/sXi3yJiDZSO7XUgWdz7J87YYHAbnSTru+q62DAt14 +U093Aj46gS+eNdaB/79jP0ZcCKiZK3Wyv7kOJjeEy1Wc6f4x9nPevlYHMrXC +BjRHAqp7Vd9vbq8D4oebHzkcCDgncy+z8nYdbPHUyjp7mIAp1/VOZEMdCBhz +ys5bE/BYrYRj3P06+HgocdTOkoAyvNnOwQN1kDO56tNnQUBXn8gQz9E64B4a ++atsTsCW2U3V9uN0f5qPZDeZEFDugMxL0//qgJK1tnvPfgKWie+Q0XxZByoC +3FVZBgRcnrlbIP2mDobSfgsw6RFQjE2HU+RDHTg1ceWEaxPwg3x9Oe9iHdg8 +ubX+RYOAp1fXNZm/18GRZUtXLzUCvjY68uP3Sh10pKvdfqVMwIM3HnZ9WqXP +d804m4MifX2HQ+mrf3Uw8Cj24BM5Anqp7Mp4vLkebHXqUixkCDh8eVfufbZ6 +qK6rbBuQJCArv09zB2c9eGmNT+wXJyDl+M6pS7z1oPD8wof7VAJO3ZDZW7Wr +HmA0ZtGATECDjL6Q3L31YMaAb+4RCJh7dn4mkVAPbFMjA4bCdL/76t3CqfUQ +a7W9tm8v/f66tPWXn2Q9fJxb8DbdQ0CXOLFaF7l6KC17uHdkFwEzVzldbZTr +wYOBo9eKj4DiCUMKxhr1wCxBtJ3kJaDDQ39BDd16SGwPGnfmJuDJ7s0CMkb1 +UI4eOu84CTiYUy1JNKsH4g/3Yn92Am7XPWDLf4jeP2Ry6icb/bwY7cndZlsP +/1Yk2eJYCDh0XuDtP4d6sG4aFWHfQkCS4xGzZed6+KwjSiphJKDz3fd98+71 +ELnUsJ3MQL//nj52eOldDwfOtb1t3RDBHb9FGZ6crIe7XD3VemsiaBG/dqfv +dD20+KsZPP4tguLKDtldYfXwZShjxO2nCMKKxZlr5+rh4hxFe2lJBAOvfgpp +iK2HN18jCpK+i6C/v25qWVI9vKxbfrTrqwgazjlez06vhwJFlm+XF0Uwec70 +W2J2PUjbEJb1FkSQzVzQ6GxBPQRIdUxPfhDB6N6ZloDS+v9RXOXxUH1tPGUp +kRYy+0IbIiESSrKHQkQpkSgtSJS0SUr4oaREiqxjLLMpCs9DKopEoiwhFKGU +UJHe+/55Pveec57vemdg7VG97GP9bGSUZmseuJsJzXoKjpK9bOzRO/N8V0Ym +PFJ/0nO3m40Xkv1PbM/NhKpDIvv1H9g4XXddz7wgE/gX3O43tbMxrnx0oaEg +E8ourHlz9D2b+H+ePEvrYSZMjab3zmtlY+zlVMlVZZnQ8XrVm+xmNmaqzVNm +VBL4bumnmzaxMW35sJP8M+J9bWvb3gY2btrodE/6ZSZsmt/YcrGejQEpjv9m +vc4Etd+mRsov2cgXGw+abM4E4230C9U1BJ+3Led8fZ8Jps2Nd72fsTHSdE9O +34dMqHnSljSvmo2nOjZ7tvdmQlY972hBJRsFoeI6TQOZEKxQT3MANvYvEtFq +RzJBSYuTNVnGxqXr3Gn4IxNc1UHq7iM2zh6S1344mQmU8KsmZiVsjIjr3Vc4 +nQlr2OFOI8Vs/Jf6PitLLAtKvVca3xSy0VxMcnaqZBYUKP8QM+azsTMvOOjG +/CzYl+Se/KWQjX/2G8yKWZgF84KG597MZ6OvjOf9cIUsMH2vYGuSx8bsrl+7 +QylZcM/R1ftbDhtp1QvUA5lZwOjR2ZGaxcapCoHC4WVZUD28YqlNBhuZ5DGF +/SpZQN1WyJ1KY6PKUKf6bo0sAFtr+fy7hH92X9zjqJ0Fn5NPb9tzh42fk75m +bl2fBV93gJtcMhv11NeKmxplwUeJ2wZVtwj+IlxCDU2yQCYjcigokY0ZmYHS +6yyy4GyM3BHVBOJ5RTxf3YaYL6aorCuejXtay/1X2GdBWeuXjsRYNr5snWfJ +dM6ChPmmdTYxBN6T4Xqk3VnQo7ExSjyKjX6d6zct2pcFP3luS8uvsLHMZr27 +9IEs0Duk7B8cwcZmQfytOb5Z8OLm0lua4QR/3dsGpo9lwdzuR1FDF9g4cPeS +/URgFix3SLTOOcfGE3JGb76dyoLifWot+8+wcSw/8ujg2Sww75+tzj7NRhnD +E6zei1kwyrhv13WSjbf05YY7rmTBF37chrtBbMwt9XndEkPwm+MwuieQjZSl +MfWvr2UBHj7uxwhg4ythVO+Lm1nQ+Tr4Ydcxwm81AYufpmTBH+mB5+lH2Bj+ +atsuSMuCDL5dmpcv4S937celWcS8oG286iCRPz3VdaK8LIiNY+UMHyD8YrSl +prAoC4723G3m72ejJTPmBEeUBdbN62tOerBRMm3JhsxSQt+BU2Eb3Qk8PZ9J +9yqygDnryz+JPWxkuysuSn6SBa93K255tYuNXgo8pcSaLFBKjbG+5ULkdxfa +xtdnQU31WwUPZzayfJ2vRzdlwXmt85lqO9hYtS5s9HJrFuRlKkxM2LNxY5vt +wYsdWTCst0L6yTY2dg+/+H22Jwuee2/sjrMl8ndUKivkUxasmzd8cs9WNu62 +XegbNJQF9jvKX6tZEf5UGLcMGCX2vzf+8secjZyuqs1Hx7NAI1Ki+oUpG+kO +kTsO/cmCDZzkPSkmbOwYdww78C8Lnn2Me3DEmFg7atd4iGdDzbqgVxs3slEJ +dFT2zsuGeTNtmYsMCb+98s7ctSAbGr/b6/frE34fa9HfuSQbLrEPR5fqsTHq +fcKgIykbLCYfJseuI/jdwRVup2dDuu4Lby9tNl4RW51kq5QNjGntbxvWslGu +XfmW9cpsmCi7or14DRsN1NJ4FquzodDcRfvLajauleX1ma7NhsqK9V+rVNko +OumhbaKbDZvul+2/s4qNleZVdzYZZMOppycTglewkTSnm2VknA1pjjNn7Jex +0bWrFjaYZUPgqz6muhIb2+f+F7LeOhv6ZTF0HovQb/56O91t2fBo0/L4T3Si +//Gdkc6ObNjymeNWTWXjb5mzllqu2fC1o7f7PpmNV1drH9Pcmw0SdodoFxXZ +uHn1vCKN/dlgXvZ6gacCkY8ZmfnqB7Ph9l/eQ5MlbLSOs7modjQbBAbpS5ct +Ir4nmi3yqsezoWJsvZqkHNFPdg+rVp3MhgUTcuMDMmz8XjATvfJMNjw9UBFY +J83G9dxS/xVh2XCupCObN5eNwTsm/JdfzoaZ4jmxiZJsrKiqilkWnQ3vT9at +ChVnY/LP1dXK8dmw8tDrYI/ZbJTlmCgqJ2bDanPOSctZhB7bF19WSs4GSdp3 +Vc0ZFt5azVmodC8bPC1N4knTLLxXpPCQnZkNzBC9HLE/LFx++kAIm5MNs/MP ++w1NsjAnIXsnuzAbjmmcHng7zsLaqU/2bGE2iKXOLKocY+HbpToH2SXZsLP3 +xlD+dxYKD95JZpdnQ77B+xO3v7HQ/rn6ILuK4EfjYMHlERaKZY07Kj3PhtLr +H26cGGKhm9XsdqW6bPCKea+6f5CFuhIe55Qbs2HvfxPHHD6zUPsaa+Oylmy4 +suPNPpN+Fo5q2FGWt2dD3IjsLO1eFi67Pbl4RXc2cHmmNst6WGhlo7ZqZT/h +R5OlZku7WPhNYsJ11ZdsKLnO/jK3k4U/0rxzVb5lw89OCYPpNhb+vRG1RO1n +NmzmeuqNvmOhkbFfyurf2TBW1/qhr4WFEt7Kxhoz2aC4T2JtWzML854IxTTn +5MDqumj1100sbP+j0b12bg50VM1vfvaahXsV7rdry+aAaNOKZRWviPMSqD/X +Lc6BV1fO0B/UsZBVkquyXjEHklR4UPiChQGbdp7ZQMuBsGlP6dwaFnbvXjds +yCb2s/T+pj8j8NluD9m0IgcaZ17dulPNwrRZD5RN1HLgvkX9+1tVLJy3/sSQ +qWYOtI01VyUgC6ulbr+2WJcDVVuuOsRXsJAiv/aN9YYcEIf/Iv8rY+Hs8K1j +tptywFHnslf0IxaaPvupaW+aA5qlSz9dLWFhvLFBzA6rHEjn9MpcfcDCzfar +JVzscmAo59q7SBELZX+8TdntmAPb7jy1vCpgYdBjs+3uLjnwVLRsTxSPhWr9 +kUr79+SAwGuHQkwhC59JFC728cyBIq8//rH5LGwZrmQd9skBfUGZ37U8FvL0 +m2z8juTA6bjNixJzWeh5ZORmYEAOTF1c43Q7m4UOSax/J4NzwGunusHdTALv +upCIM6E5YEz9WJVxn4Vf50uohl3IgWLW+BAnjYXr6huHIyJyYPNf2Qe8uwS+ +meH6qKgcCL3azCq5Q/jRy6s+Li4H3nSPqmEyC93XmA3duEHg8ZjfWpPEwqFj +qSuTb+eAJbeO3XST4BtPX7x3Nwe00jvnd9xgIffT4FRmRg44+Hy+8ek6kR/n +3wl5uTkQvj+h7Hs8C/WDHljzCnJgwjD64t9YFt6M1WA9EOTAePupT/P+I/ig ++cmXPST0OyQ5sDSahVd3XF5ZVZYDD7Z9uLzsKgtXv7rgWlOZAxbruVVaV1h4 +cOJI3qtnOXBFlpSyOYLQt2kn5e3LHIj63SBnH87C6Q47TvvrHJDwPsfyCGPh +7jL3nR/f5oDs9Ku6gPMsvKCUtGywLQcGMo7Kh59loTVNYtFoVw7AJcnJG6Es +3PheRJvsy4Hj4uYnckKI+ZRFFjODOWD9/F30o5MsfPx04XWJbznwuuiw0asg +Fv40eDcl8zMHLn3gRn4MZGGmLClC/ncO5PLNj04GsDCR06lOmyHmeTr4Rcaf +hRpyuhPKc3Kh4LuJmPIxFq7xX/NBbW4u8ftoFk//CHF+fku/tmwurF/9emK7 +L+FPG31Zw8W5kEfzeHvwIJF3lwM7TBVzQXbIY2uYN9FPh30e29ByIfxemEuy +FwtV79uaOLFzgXLOb1roycJj9csG96zIhbuS7bqv9rHwc86fIm+1XHD8GSg1 +uJeFL8923PTTzIXnRl+Oiu9h4aaa1tRT63LhpvzXQ6zdxDzSf6rDNuSCZv+a +KUNXFl7kbZeJ3pQLHOd97F07WUgLHwi8YZoLQdaaHSedWKgS2jCVapULRh3b +1W46slC6fnFmjl0uZHoELii2Z6HMEBzhO+aCnK9VRPM2FqYY9zk9dsmFYxWX +4n7aEvq8jHF/uicXpD1aVyvYsPDh4LOrDZ65YP3fmJuuNQu7dNOa3/sQeB9G +M10sWZhgscK470guPI5xOHHanIX7Hx2o+xqQC+d//NmVasrCpfeOhPwOzoU0 +yfVv0ISFCkkWFuJniPOZ5R19xiw0uymuKxeWC3G1RifnbWKheCDPjHI5F7Jf +Hr2vYcTCXVyX4OXRuWClJLZ3hwELwxOkazTjc0Eols85rU/0ybI3GwwTc0H7 +rVJEuh4LS2zxlUVyLkxvpIzWrGPh7S8fwh3v5cInRYsvo9osNNQx3OWemQuW +fnsDyVos7CD32x/m5EJllEK0iSYLt37+7HuyMBdmfWKvPaJB5PXt9qxwYS6k +aOkfuLmahRbf1MXiS3Lh3c5FKytVWXj9WfS5O+W5cOr4vuDhVSxc2HuSzqnK +hfjmDgfSSiIPon+dxc9zwUbCqMx0OQuNmZpYVZcL1agnCFAmvgeXllY3NOZC +/WS4zj02C5+zcLCjJReeNLwzqWcS/f5Tf+2X9lzYc3+kY4rOwsm315Inu3Ph +9N+Q2Wo0wj+LmpdLfMqF0fvrhLsoLIy9v+DN4qFc8Ip89zWKRPSlu9191mgu +LGilFD9eykInlbQEjfFcSBwSSYzIs9CnZVGO4Z9caHNy72YsYaG6Kq/D+l8u +1L5rMrVfxMJQn0gdV3EOqPnWaF2SI76nSTmFPvM4cFbrN+ehLAu1DlK3Bi/g +gCiGkTc0n4WadqPzIpZwgCn5Q4slzcLkLO2hBBIH1PeqmzrNZeFA74+v9+kc +sLwc1RklyUK5pg0KAiUO3E1/MoPiLFwxSNpbuZIDf8UTciZns/D3+O3a16s5 +cE9X2KohxkJJ7Zc7u9dyQLyjnF4/w8QH90vnjupywG/l/dtGU0x88fZ4xz8D +DgRevKpUNEk8Pz/njdxmDpwP+/KQ/ZOJDmmnhpnmHKBTDF0TR5k4v7hrleZW +Dty/Py4hPcLEkPNmkcbbOfC2Mbb8/CATlf0fSts7ceB6xfnzE/1MnHAz4Xns +4kBIl/HWYx+ZqLFi7NRxdw7ckt7K+vyBiatUWr3CvTggG6Q4s6+dictCpwJv +HOLAYwGzr72ViTVbj2ZnHePAt+LOxp3NTPTarD/9IJDA0/DyWfNrJr4/diSo +5hQHVuR7VTnUM/FdpvzitrMc6HRRrm6sZeIX+Y1NQxc58Noo/KX9MyYGN4wX +/73CgQDWrHdNVUzkhlmVy/3HgSSlpYM7gNgfajbAvs4Bq6rNM62PmZihPqmr +c4sDdu//LXUrYWL83cMc8zsc+HynXqtHxMRkKNrkms6BiNRV9j58Jg5Gv/59 +OJsD/s9iA74WMLGD1N56jkvwvedcQnAeE3+adry/xuNA5OzgB/+ymahF7vmX +WcyBO0U/31/NYKLUqQmrkkccUC0J+SufxkTJIpWSl8CBnzWXWOl3mLg384p1 +VzUHCj4nmmjcZmLSJE1srJYDD46r7y9LZOL1NxPtkg0cqGTVhW29zkTaWaV2 +SjMHEmaNpbbHMvFAQP6MxntCv1PKD49EM3HJ73TzLR8Ivsy76mauMHFyXE64 +s5fAeyH3w7VLTCxQnmN6ZIDgL15seHkYE/1qIn9fGOFA3YajPx+dZWJZRsGb +xB8c6L55bHL7aSa6wrmmvEkOJC+5+vNzMBPfzsydgGnCz0HGQ+cDmVi+zXXj +W7E8YLwltZP8mZjgeob7RTIPxO/ffCI4wsSuPeeNZsnkwdp7GzNtDzFx3MLv +p8KiPDjVl3hm8AATnetdXqstzYO6TrbNZU8mWo1YNm6m5oHM1oOLl7kzcYpn +M7mTlQfcTd9eVe1mYlO7v8mx5XlwRMkozNOFiafnVwkuqeYBu+DdqjlOTBzx +trVMWZMH24Ytn2baM1H1G3OOQCcPxjcqOFvYEfnYZt5bo58HJs5P275YMzE1 +tX6ga2MeWK3rcYizYGL1w6olk1vyoELze7mOKRNV3q/1WmBF3P/1LLXdmJj3 +46q25XZ5sNJ74eGLRkwsSRAGGTnmAalrbb7qBibmV3bpOrnkweD3wx/e6DKx +Kq6UfnRPHhhesRQ7p03k6aSdaoRnHghb7eVVNJko+JDnluqTB7cPL1Z8u5o4 +L6tdVHwkDwQUhXkXVQi8zSNarwLy4OP8/sE1K5h4p3Kk5VMwgUckW/pBiYkW +zwfS/oXmgXMbJTiWyUSfc0PxpDCCz9gk1iYa4c/W2TlrL+eBrvaSklESE20u +GPRaR+eBRbCiYYYCofdMuplXPLHeoZXvvJjQu2HLq7OJxP6l36XmyzGxcqP6 +2VvJeRCwo8cO5xP6fPR14N/Lg+zR+AvBc5nYoC1t9zIzD3ZSY++oS/w/v4r+ +/Zw8eLbd536/GBMHnO6V/Csk+HLlXrs7w8DmtUUrKaI8OGM5eMhlioHLkx3L +dUrzwPYcT3XJLwYKg5JCtlUQeLLi37z6yUCFZ9Fuvk/ywFNI9or+zsC+TH3v +iJo8GBtob7f8ysA73YU30+rzQK7RZ4PUEANDtH6NPG4i/LfZ7vyzzwwMTVE6 +0tqaB2QXVt7lPgYOhW5YNNaRBy7n/R5Z9DDQqtamc8FHYn2ovmjeBwaaBHq/ +Vv2cB18W1V2ta2Ogem3CF/PhPBgp/2sR38rAvUU9avu/58HcqZ+DO5oJPDlu +N85P5IHPPVM/SiMDyyUXL7szlQextedbu+sZKFci214yiwtzu/WVcl8wMEJ8 +T+lbCS7oXJPc5v+cgQ7BMvBDmgvz3oTs0a9mIOX6qmG5hVxo/7jSdk4lA6/4 +VxirK3BBziyL/qqcgWmhbWXWFC5MVl9+dfsRA62dru47yORC+AkPd++HDLxU +0qp2eRkXFuS/aNAWMdB5axMjU4ULStIuzNl8Bmb/idCv0uCCfuA928YCAu/E +TGi3NheuLNLblZ7HwKYo608z67nwaEex6fEcBu4YPnGKvpELT7/zZEwzGbj5 +e5SW4RYupH1E/tJ0BuoybsvvtuSCovcZ7S+pDJRi5TNO23Ih7N/paxXJDEx9 ++Xr7bQcuJAfveJlwi4HamUu4JTu5YNCa1n3oBgNXOIWpv3Mj5gv49dr4GoE/ +aMW7SQ8uVLWOpZBiCb0b5biKPlyY81GNuJqBq+5YZesd4YJ0nj6+uMLACbme +2p0BXJj13wNS1iUGqnh+VDgVzIUBVUPrC2EMnL9gV1RSKBdsvb12uJ1joMYR +p5WlF4j7vGp19UMZqCTdPfw+gpg3WuL70lMM/HRBqv1PFBf8I4QXx08w0ON3 +63dqPBeKDY8NNQcQ+n7cs9YokQuJna9Vi48x0EYj+/beZC7cfxtsfPMwA7cY +l6teuMeFq2+m1E4dZGDG5aK+9EwuND2bGt51gIG2s6KeP+Fwgd+1OHyjJwMt +f7i86S/kQkts54iSOwODN6vMnSviwoqIX6vnujHQcFjSW7WU4E84y/irCwNv +KP4btqngwrR1woq3TgxUZDFS/Z5wofSxbXeZAwMXhfoHX6/hQl5x/ZGsbQzc +2jw7pLieC90r+S9jbRjIfNKT+a6JC37GN6dPWRHnvSf/mWrlgvER6r/95gyM +O/nwFLOTC83OXU3btjDQyOQ5a8tHQt8vF04aGjOwI9Xph/dnLqjY3RtWMSL4 +Puc3EjXMBa3B92tJGxg4zGAvLvrOBZb7a3MpPcJ/vcH73kwQ/rqmpDapzcDO +8rPvJqe4cOCe/4fPmgwMb9t8miaWD0N9u/a9V2cgp7/BbLNkPjhNhfFeqjJw +vaGOgff8fOCXXH5VsZLwo2foruiF+VCwRvqRYBkD1WwFGTyFfAgoKjiew2bg +MXr/0hZKPux+svjXHQYDu1RYoilmPnRqtVslUBnIp/mHspfng7kYxyeKxMDV +JT1HLFTzIe4ow/6iAsGnYljk0TX5oP2jUyJ0MQN//9v1KkEnH36YRkWckCPy +fD104yP9fCh0ftZwTIbor+pv77o35oOW47q+Q/MYeKHmSaqUaT6Ip5+uOiBJ ++Ftb/D8Nq3zQ69H39ZzDwDfe5dlOdvmw8dvSdvdZxPPEqS9nHPNB1F0sv/cv +Hb0Zda6ZLvmgK/F46Z4/dHTbtGHs5Z580Pz0otttko5qmxwfjnkSfJhHHd/z +k45D4crZ1IP5sEH57su93+moc/YhbDmaD1f53KF9X+kov5gqfuR4PoTsc2na +P0THFMvdgTdO5sOrVqvzPgN0DIu7JFt+Jh9m/1r+43A/HWOlMpr6w/KB1HZd +NeAjHVO3PalacCUfQht0V53sIs7v+96pF5MPVR4lX8520PEu02CZx7V8iHKo +CIh4T8dES25i1M18MEn5VvZfCx2/ym/TEqXkg9zRsZc339CRK9D605lGzKcZ +cDftNR2b0j1HpLLz4V7EQh1uPR2fRA7N1+Lmg9eWkJgHL+joePm9kxsvH/pP +OuZUPacjkPVfXi7Oh98+Fpcaqul40HvpEf6jfGDH/VXqrKRjVey59R2QD9b3 +GOFDFXR8PnNGU+opwdcFx8w/j+n4ns/YofUiH4rszS5LlxLzq/pn7GnIhyTv +1FXUB3RsDjvLuNqcD+etJKJXC+n4Xdzxqeh9PlAerSjYyKOjssffW90fiPcL +uLH2BXQsKIy8KdOXD4ftNq45kEfH33fFKtcP5oPSdGRsSA4dXYxPKB74mg9m +W3XzYzPpGGA5cvvaWD6skvh+JTOdjhWPT1lW/MqH8pVe7Md36bhSRVl56G8+ ++PdvONWUQkfnB79USHMK4FcmK+ZLEh1tbCT3mM0tAE2xSrc5N+m44PLOsuOy +BTBW83yQlkBHDfffFmmLC2BgpltLL56OkYOT/+oVC8DnfYmew390FN/j3jdF +K4DNVVOTR6PomL/XcFxFqQDuOzsHRl2h46xZKVouKwvgi3cQJ+cSHcdvXLlz +eXUBhExIJD8No+PmDwu0i9cWwHWDYtO+c3RUEhlO9OoWgNY9Tc6cM3S8f4P+ +abFhAXSULX+uHELHH5IVs002F8BlT5O7psF0HG1WsQkwLwD3eB0N70A6Zkwd +rUrbWgCCU3nBkf50PGx188Dr7QVQft7hJPcoHcN9i9bNci6ASwbtaxp86Thw +46mW5u4C4AWO3RvzIfIg7HPbt68AfNnWz0kH6HiEQxbFHygANb/YrI2eBN/W +/usrfQsgu8RvwwF3OmrtGB/87lcAV6JSI2Lc6LjorqhGKagAjt9/flnkSkcZ +fNTseLoARF9TjTqd6Xi5Y8mCiPMFYBz7miO5g45XD9SdeHCpAI69lnupaU/H +T4GjcweuFsCIjkz6bjs6qubGvCDHFUD04WC1K1vpeGZOQenWGwWwdMe/Q0JL +OkbU7Gk5e7sADGd2unWbEX6az2Xx7hbAPs7a2Qu20PG/i+lJHzOIeaqNdhsa +03G2mu1GBU4BtIyo+xw2oqPs3keLLAsJvseEy1M20HHPufHFocIC2NYYdvOl +HvH+TWmTwpIC+CO0Kp3WoaPRqMS9nvICeDde/p+GFh0vvBlTUXhC4GFdW+Kx +ho7buN0fLWsKYNlQkPWN1XTU13tXe6a+AD4YMrVqVOh4/PjnD7ymAliiavxi +egXhbw2KUn8rof949GKtZXS8k3ImgdxZAOoLH0gfZNNxtQxV2+5jAdwgHRfc +ZdCR3yAmFv65ANa1B85rodKRNmT49+FwAdAc/OQWkOkY3/5u5cj3AqjOJFWb +L6Wj7rOeC0qTBTB71bKVF5bQ0fTz/rku08Q8e8zXP1pIR/bawxX/iRWC97j2 +5E9ZOqo4imc8kSyElBfp+zXn0/Fa74YHv+cXguUn07NH5hL+B+qvNYsK4cPZ +pi0cCSLf84VEZRTCjrF/Dz7NJvwQKTM3lVoIs99ebFk2i8hThk7LG1YhRHQu +vL//Lw0XPtN7I72iEFLH3MkZf2hov0jp32a1QpilusKwd5KGysb/XEM0ifuA +LL1snIYP9Dp6eesK4Sn9+8UDP2hYHFt9Z2BDIfi2e2bnfKMhRVh9iWVcCMml +y098Gabhar3BFBezQliUNTqk/oWGjEyjj/HWhfCq+LTs8c80FPq82lm7rRDe +aIS+e9BHQwPJ3Gkxp0JQO8exme6hYeKyltcbdhUC17D8kEkXsVY60BzoXghd +6sfWXO2gYdMyD6kCr0IY3HQi9fV7GtbmtRz6dKgQPKKvCEmtNLwd3TjF9Csk +vl/7AjyaiXnl95a7niiEU+IPW/IaaegiH1mYEFIIh3VNe3++ouH4YreG+nOF +sDYPb26qo6HYuk/MuZcK4YV1/2hULQ3bYrTSTK4WwsDqw99bntHwwCrb7Wdj +C4nfN/OTlKtpuMTfRLMkoRBc353v86+k4WkthvFYUiFEJYe1VFQQz78Mn9e4 +WwglcS+OypbRMM7t0bdDGYVgnyKf51ZKw465CXFZuYXwpJYcnf+AhlPTF917 +CgrBdvuNhX+FNPxJvulOFxbCeMzGDXZ8GsZ/eBfnWlIIuyXfSKUV0vCIws7R +xPJCyD4sE/KDS8MKN3pYU1Uh7LyR9Z8Zh4bdinomcjWFYHTB1ex2Ng19mXxt +m/pC2Lqz995IBg29F91yutpUCCcPzdwxSadhtP14zrPWQsjT8DZMuktDtXnv +VMU7C+GGecvZryk0nCRv/bD5YyHcPCXtYXabhn38XVXnPxP3Cyv679yk4Qep +Ja3lw4WguqBo/ngCDYNHz9OmvxdC39NbTbbXaKj7peD6hslCeLlp3YacWBry +23P1Q6YJfFKmJmIxNLwhOrOoRKwITjVe+LL7Kg09xtZRJiWLwCY4V+vhZRqG +WnU76soUgdbkScqSSzSUm7xSEbSoCBJC89P9wmj48Yr+ruKlRbDPfk5N3Tka +pqybtXKcWgSzR/T/Uz1Dw1+pA8vWsYtAe1D2e2QIwc+lGcegFUXQK2k09jmY +hr+z7UTFakVAVY9IsDhBw4EzfWYTmkUwfDCzMSeAhu2Uurl6ukWwZcSlYK4f +Dd8+XfT3pEERNC/2WOF7hIYNGZVKpcZFIOUSalh3iIYO6Z9D/pgVwct93t80 +fGioWRk323BrEYRPdG+87kXoZ/+s7Oz2IhiTylOd8KDh0MZbueBUBEs4FwS7 +3Gl413rBM7HdRSCxZFkLuBH7F69XMN1XBCMZjonLdxF62LJuXj5QBO0fXn2L +3klDyc9NlrW+RcA/7NT/YwcNZUPd1GX8iXkUc4J2ORD8XKjZsi2oCBY0hadV +baNh1FblmOuniyBEwD2gZktDE7kQyZbzRbD7x4fqG9Y0rNz+VkCOKAL6aGf5 +jAXB3y3Ta3uiisBW49D2Q2Y0TGptSk+PK4JEx81nmk1oeKYsuq//RhHcVl25 +2diYht8GQl1Vk4ugK739br4RDQ8vKJrld68IRC+ZiWQDgs8Fa9uEmUWw8INI ++cp6wr/KCz794hRBhJab9fg6Qh9bh2Ubi4qAZN4610ubhiVn5iWGi4pAo/Tz +3jeaNBxs2LS+tpTwy7ZtNls0iD66JbZADoqg4VvDa6EaDc9t2rXUqboImJlq +w8tUaGg3x9k+pbYI7G4vu3tzBQ0vLBeDnldFoMQ8+2nuMhpqGPi4r2ougjW5 +k9WhbBoq1d/Q8ntfBJxaZ/1vDBpuvpO4/sGHIvAx2LNlP42GV2KCAv72FoGw +tf5jK5mG9c7GnaaDRWCUcljRVpHoq8+zz8R8JfyX9bu7Sp6G4pE1ts1jRbBa +12CT/mIadkmnOtB+E88FY2t5cjQ03vJflNdMETxN/VSyUpbgX7fpdIsYD3LS +Wt/ckyb0PzRZe1qcB5nhURdJc2nYyyrTYkrxwH/tk+prEjR0vbui+Mk8Hux9 +YJY8fw4NyUmG9gdleGBt3DL78iwaVi8Vl5KV48EZhv7MrBkq+lPCW/iLeHCr +UivmzBQVb+UAOMvz4NTjK/m/flHxYzdUTS3lwUqY3hs0QUXphKtdaWQePE5z +zvgxRsWHDUpLzWk82Oy0K8T/OxW9Q655DzF4kP+jrvvrVyp+57W/jmfzgF8U ++P7oMBVd7KScdJfxoLR3yf6RQSr2+1DG2lfwoF4y8OzRz1Sk/6Jww1R4cITv +vOprHxWnXi84u3I1D+LuXNrv95GKK1SmD9Zr8OB0epXG9y4qTjcPHAtcy4Pi +0pargZ1UvNrdFkvW4cHIzOUTE21U1DF8VwO6POjIu/015B0V90x8onnr82CD +4tvJv2+pOPetTLSMIQ9Sy//FXXxDxYuzty8RbuSBr173A6lGKo4EPih23cyD +CiOjI/+9oiJtwuz4LFMebOV0Fi2po+LsR+JWOeY8cDkeGZZcS8U/6b/07ax4 +cJsn3sN+TpyXvtJsfCsPyCnkV5xqKobybvneseOBZmSspVYVFdkv7fK22PPg +wIjq9sdARbMmB/EhRx44uz/oMy2nomUf59R1Zx5kXfsl0fCIijv7XKU2uPLg +k3Op0LWEigfeHOT17ObB+TQc6Sum4t7UjsCre3lw91yL0F9IxfWrH9uv9eAB +g/VE4i+PijY3pK3f7+fB4Sa73quFhD4pr93CvAm9xUxsFPOpGBCzJErlEOE3 +vQPGWRwqTk69a2w8zAMOPQy0c6hYtWalzuljxPun99ZWZVJRuX4OXymAB+u0 +n+1xuE9FxekTli8DeUDdGnbm4z0qbqu98CcwmLiv12V5YCqV+P2z+jkthAfb +DJa6iKdQ0e3w+cKnoTyoKboofzOJih5u53jHzvHg3mOfXatuUvHK5TX1imE8 +sJiMVXmcQMWC4STxynAeNJKqwuyuUXFtODr7XibWYy88P8ZS0etg/pMlV3lg +HxJYFxxD6GXgubU8mge8hxEV86Oo6Ko0MOIdy4ObbS/Xp1+h4uBCU+7Cazz4 +qLrQQC+C4ONvaPijBMJvC+hP6y9S8Xp+YrDXTR7kzi1v8bpARVWTW5cW3OaB +Sukjv+mzVIyMulxQksKD7x3dcTdCqegeeui7510eCG3/6KqHUNFzg/l22XQe +vBNr8noWTMWh00ovHmbwIEBGm7zvBLFeLe7umU3okzrg+CeAigMXvy+Q5fBA +YlaFfKIf4T/F0fcPuUR+Us/t1jxKxSyKJHoW8mDe1PjKOl8qNnjrV8ryCT+X +fgs5eJCK3CdxnSVCHqQk6tlLeFPR8bycgtcDHqQful1wfz8V5ZkVPnKlPGhS +7Yk19qCiXXP620ePeXD/S9vPD3upSI3Cvd4VPDja4tB11o3wrzJrzuJKok/0 +FOzou6hoHfSsqvwJsT7+1bh8JxUXRZWmHnrGgz9S3Id7nKi4YdO/BIVaHrjf +UBTMOBD+TEzNqnzJA+2GWZpp26mo7p3cdPQV0TfR2mtN7KiYKJqiUBp5MKfk +THHfVir+Pfj83LM3PDDeyym7YkVF3D9n5ngLDywzLpurWVCxLbE4ifme6Jvn +PQ4NplSM/tlrV9fOA6/lkT2BJlS0sLvBCvnAg0Ftix8kYyrOy6mTXdHDg4nw +4UsVRlRcIJWw9E0vD/6rNLvtZUDF46SRDRc+8eCskLVmvj4Vy7q6T6sPEn4z +2Gou0KXiJfcTLW1DPFjqlPDBVYfIb1KBbeRXHmQoPp8U0yL6T/9697rvPFgj +El3LW0NFI+NVcb1jBP5g1XxHdSrGRga5XpvggUn1hPlfVaKfVC9s2vSbB8sZ +Ax45q6j4Y8Z288gUD5IY9dP2K6hY2dG3N2WGyMfpE4p/lanIeWidZCXGhwWz +Cvi5bKIPgiJGJufwITvJ7OUOJhX1R5L3Zkvyoclc1kuMTpxvem1oxzw+aK18 +E1pIIfqWcezGHBk+rPP3XuxGouLi+3quggV8ED9+c6X0UgJ/6Ji+xyI+nL6p +9bhkCfG8Jkd3oTwfJDyk630WUZGhuWsbLOVD5rERN0U5Kj7vX3jpGJkPL4K4 +vs9liH7mNjbTaXywN5efOClN9KH1/c31DD741k7OrJpLxfAfkS/OsPkQJbYi +ok2C0GN/tN/qZXxwlfaLjJlD8Lu/SLNjBR9ySRlzN4kRfU6Zko1R4YPt6esS +P2YoeMvghJThaj6o35Q9nzVNQdsSFn1Ygw/yw30nXP9Q0DFWctudtXwQyQ9+ +kv1FweZktVQbHT5EVH5prhqnoHJBotRfXT5Ulj3aeGqMgpLl1rEF+sT9gyrL +NL5T8KBo+9q9hnx4aTIvou8rBbf5FYwu2MQHtU4Vj5RhCi5t866DzXyQ6ncr +cfhCwVWPL1b7mxL77wVGSQ9Q0He51Hu2BR+CD21qreqnIIz8nvfGig9TJdfu +hvZS0GFs385LNnx4TjXs1umhYNQSk8p12/jQrbfwztcPFJTYkWHx2Z4P7i+7 +GnM7KJjqEvUlaQdxXv6ZsP1tFPRc95djvZMPm2tL8hjvKHj9ndjlaVc+tK70 +tm17S8GaX6nnCt34QPvkfOjmGwo+vN6asM+duE9/z4xDIwVtEkVPF3vywdx/ +q8zCBgpWv90g/9SLD/yvY9fr6yiYpO5//qQPH6rWqlyPfkHBnUm7pFR9+SCs +L59nXUNBheZ/3I4jfDA7dun33GcUTJk+cDTOjw/3W7Z51DyhYIHo+laT43yw +6/lhHFlJwY4v0ebjJ/jAuGCcZAkU/K94597ck3xQKpvvM6+cgrtKpq7vPs2H +5OKVBS8eUXD317N9C87yYSDDxzemhOB7U59D1Xk+hLy9e9fuAQW3xOt8CLrI +h7KiNKtFIoLvmycuq0TwgVxkfLiZT8EDe/K2dl7hw2tvhzlJRRTMedmufi2K +D38ucBa5FRD7cxeom/3Hh8AK8k0Wl4Iury2tfscR/p0Iju/PpeCAbvzFgut8 +MCAlzuJmU3As9cs7j0Q+XF9p+ck/k4I+jL02S5MIPxh7bda7T8HV7qMdL5L5 +8DahfNHMPQpO7c+JOp/KhwbfVTufplLw5Vikk04aH4qUQxb9l0JBlb/JRoP3 ++bBP+5Kx020KHtnWa3I3iw+Syxl99FsUXDnmc8Axl5j3NnX60w0KltzRyJrL +5QPPyj6Sd53Qf6nR7IoCPjwSuxF5Op6CxTG3zwTy+JCRVTJtGkvBzggreRUh +H35p3OiTi6HgWqZj7YdiPqgUTG1qv0rcTytLuVHCh7Nm1QtyrlBQ1jkq2vox +H6S1n2wPjCD8U/kkaVYFkb9n9RLG4RTct+bYkwdI4PMuVZcNI847Gjf/6BM+ +FMftrmk7R/Dnrh6g/IzojzdX3+aeIfb/tv35voa4v5XsdPI0BV9JTN6If0n4 +bXePufkpQo/zGo4Wr4j+WvMgTyGYgpul/2jMvOZD9YZjF/oDKbgiz31V8Rsi +36Fdz4sDiPyuPLDpSAvhp9ndFy77UZBydOEJ5fcEf5Nm3J1HKSjv6fOsrZ0P +JTc/m6scpuCLEj/d6x8IPdemOE4dpGCYz5pqqx4+yK7Ra6z3puBXt3w/sT5i +vnnXIc2Lgnd2Dq8v/cSHIYeLjBOexHOTcWbAIB9WFH0YsdhHwfihumUqw3yA +d2fVaXsp+FQ7xKLnKx/i7+p2ju4m9JGaFXn7O/F+X9f0U1cKVtB9Ptn/5EN5 ++vaYlJ2En4JEntKTfFjT5x4d4ERB0ycj01W/+dBb1/fbwpGCO+aSi0OnifOv +PWhl2BN9JGMYrfOPOO9s/rIJOwqqRrqdHxETQPtIane9DQWlLly4li0ugDk7 +PednW1Pw/mBBpbuUAGSNGzPPWVLwtP0XObK0AHJMq/J3mlOQ12RwpklGAI/k +ZZXXmlLwJyNXMkZOANYnrkrNN6HgpO66IrPFArhoILerfxOB/+FA0D95AcQ7 +E+IYUTCWV7OrVFEAuU9vWqYYEH3ztW1PIEUAX+9Y9gXrU5C1cfl5dboAjol7 +jTjoEf3lVVDxmSmAResr969ZR/THwRDafSUBRFxZbyGjTfhbLC7JbbkAjJ3v +3xrUJPyn9FNLcZUAfKmtO55rEP46VTjUqCqAJo+ic1mrKUiWqK6KURdA9/M5 +CpdUCf/HbSix0BRA7L98xf2riPWMYt1sbQHseBV+2WQFBTdQPWfK1wlgmayH +h9IyCsrcZ2wLWS8Ax1x67mwlCn675lihYyCA5HvXd/UyKTgukrQZNRLAH4nb +p6rpFKSPGv3iGgsAxKRnZ1OJeX/PVPlsEcDRuoqJK2QKXuzalq9sLoB8Qbyz +ryIFE7V1RV2WArCTd2XbKhD8jz5sS9kqAG2v786aSyjY96uN6WInAJNV2pNL +FhF9NSsrXN5eAG6/J8V+LSD0m6RKNjoKwDmcfLJDhsDLN8v5z1kAfZcCnCul +KXjsx0ofa1cBJDS8v5c9l+hrQY2ZlBsxn8VqxxhJAu8j9S3VewVwts/E/7g4 +4b8SN/cwDwHcLpqccJlNQfH83ckbvQRw9emyz5tmUTB0p+bPKW/ifqdM45Uz +ZJwu6j5SekgAwrTtc+SmydjpdVz85BEBFE/NWTP5m4x1PkOPdPwE8Lcu6UnX +JBmFvvbxPwIEkPLfINaMk5HklneJd0IA0zWvVwjGyPhLcfrWsZMC6KWpjKd8 +J6OJvc2L1acF4Klfr3b5Gxl9JtOoQ2cE8Kz71gv/ETL+Hv4XzTkvgBuf9zfu +HiJjTe0x6sGLAgjWkTG2GCRjC2+sdkWEAHTx8FLtz2SMMLxxq/+KALiJe3Yw ++8moY+V8KTNKACWNZb/n95JxtGxT/P7/BLAhw0vydzcZnQ87P1aKJ+az1jz9 +6QMZFyxMk/h4XQCF1KkdzR1k/HxfyS89UQAdIWk3q9rIGIC9k/uSCL+1T23k +vyPjm8DBe6wUwo+1A7ZpLWT08NH36U4l+Ow0eRLXTMYvt97bpqUJ4HJV/93z +TWQsy29w3JdB5GNdQbffa4K/WHYIK5vQRzIoct8rMp5Y/ra8O5fAJ0++aV9H +xitLRtnpXCKv9kHztrwg47DJqSyPQgHYVB74qFNDxskTgZZKfAEsOPWMtfIZ +GWuzP0v3CgXwLyWwmlxNxkXX2oYzHggg1MuqXqaKjF2SDl+9SgWgQVlmMAvJ +OFLuKLeiTADSit2yP8vJeOpJ/7bPFQJY88zVbOAxGbVfyPJyK4l5M472dJQS +fEQ2rvGtFoDA6FdP40My7uzRbVB7LgBJrRbz58VkPFC9JXakVgAnNPvkyoVk +9P/290hRnQCu/54xFPLJOK58+HBAgwD69855xSki4xa7a1e1mwTQZfKqKq2A +jM/Ywc/HmwXwPsmQmsQlY3YAc3lJK6GPl1prHIeMVZoJ90+3CWBz2cmJKzmE +XgtaNxl1CsCreubUhSwyVneOTv/rEkCrMHVvSAYZ18d+el/1UQBljWtzjqeT +8UxDeUtEvwDeBiU5HLlHxv1XzoxZDgjgwtyifd6pZGSHrNKUGSL6bLZj474U +Mo45PY9pGBEAjnhk7r5NzMtyn5cwSuRhf+l751tk7M4fz3IeI/ywQC/AIZGM +SdfjPSkTAhDPK/G1SyCjU9u6TR9+CcB0Fu2Z9TUyiisPGdyfEoDMyMZwizgy +Xjz7wMV7RgA0t3/ppv+R0dM3NVFVTAi+VgZKJtFkvDac9ePrHCEoV76eY3yV +jFHv3/oJJYVwvyvVfOMVMoa+15I9NU8Iro0XvhhGkPF0ddULQxkhdDTt/GYQ +TkbpK9G5YnJCqNUUczIII6Pk0+vZzxYJ4bHFbqrBecK/kR+qo+WFYH/J1MTg +LBnTHU7MsVcUwsL9KbUGoQQf23d5LqUI4ZD/Rr5hCJGn34k97TQh5FrK/DY6 +Sfhvs3pYOlMIX2/1pm0KIs6bWL7ZR0kIDEpG7uZAMuoPRLDVlwvhY7LKQtMA +Yt3moDS2Ugi3xp1azf3IuJp3fUupqhDMFaRmrI6SUWbh1ojz6kK4+5N6yfYw +Gb//CftspknsTw08ZH+IjII5Rr4y2kL4rDpS4ORDRlfti7Jv1glh0VMf+10H +yBi5YWfj7fVC0M6qcnTfT0Z4V1m8z0AIqUs6RV4eZNz0+fmjlRuFIHnw5glf +d+J8F7/ur8ZCiJr36rr/HjLueVO+4sEWISQd2y93cjfhV+nS/86aC+E7TffL +WVfCf2PeCmZWQrjNWa4csZOMub715TI2QmgsWfQoxomMb5k/LjfbEfzNvC+8 +4Ujo9bHN/449sd9gr1iqPRlTLvwX6rWDmM/0HD9rG9GnPLmc1TuFkD9JhkJb +Mn465jP201UIxuaLVEu2krH0WPK+cjchtGuY/qi0ImP4qcKvEe5C2A/XFess +yDjnGCfVzlMIRfKdt1vMyHhuMP6o4gEhXNo1J6RnCxl3//Hd2+1D4HvZLxre +TPjFyMif4ysEI76X7a9NxPm3ZTOOHxXC0P59JuIbyWjc3DNh4C+EHOvShIWG +ZOyIgMMSgYQ+7ds20zeQkdOYL9YQJATbZPGtquvJWGBbVJJ0itCfUsLT0yVj +Rm1dvGeoEMT/WR830yH8oTw/avU5IUxPpMY5apHxxQL/zIkLQvhQeW2upybB +5wGxbgwXgq66VKe/BhnPkp4aRl8WgpxCl8yF1WS8XISPnK4S5+//cytOlfCH +7B9XVowQGhZvOHdvFRmXS52kDMUKQULlPBStIGOQp9F08TUh2JTl7cZlZJyY +dvh34YYQHo2mOjQqkTH2VLmyzS0hpP/Sz/zIIvr36cVDismEn+X3bf/JIPri +du7rj3eEUJDw3VmSTsahtzquhfeEAE0ND0lUMiJdfc7p+0KgGHUcVyMTfjx8 +65VZlhCoNr+ubFQko55XyONFuULYeEVi0l6BjL0/39V25glB5lI/HFhCxqtF +j39zCoj3P4V8DFlE5KVw5dZgnhBmu2fujZUjvncBShUmQiFsKzTXyZAlo3oj +30HugRAuppvsL5lPxj9N7XM7Sgi88qeH6ucR/bo4uzv3sRBY317V9UoRebJa +2hZUIYRJFWWpPxJkZLhrjZtUCuFkrUvyQnEyqsyfpbWwWgh7uu0vr5xN+Ekr +Ir7zGbE/bvTFxlmEX0OeL+TWCuHHHMWDzjMkXF1SJzhVJwTe6Zw9x6ZJSG9L +DjZvEEK/4SXu5T8kDD6t5ybfJARRepz9vV8kzD+Zu/9jsxC6ZPO3lUyQUCtu +LIbXKgT+2OOsxp8kfHaH8e5cmxD+NaU7Dv0gobH/GjPbTqLf9I1dJb6T8E+S +WjO1Wwi9GPKA+Y2EH9TJEV8+CuHs4rWHN4yQsA//7iztF0JCr+VJpyESqhh2 +2UQOCGH1ZEab/yAJPfc+2b9ziOhH+vLEmM8k5HcV3VnxVQhpOkXZuf0k9Ofm +TY6PCoG2crnc014SZu0sPfF0TAhWI4de9fSQMGS4Z0nihBBuxuzrm+kiYdcP +lbdev4WQoTi8nfaBhAsP3yrRmRaCfuG3JRs6SNj9Z02F+D8hbD5rp+7SRsJy +/9/9zWIiqKwYuhP8joR2cb/XZImL4FVpnmdiCwmt9XTvBEmJILrq2DlRMwnH +1YtVzaVFoLSBOvqmiYRuSmfal8qKoCA24eHYaxJu/R5f+FlOBOYGj5uXNJCQ +4fY7o2SxCL4+D7LQqSehi/rjx1cViPNqs+WcXpLw1vqO8V0kEfT0rFUPriXh +bgNPh9VUEfwHf+7dek7wU+/Q+JcugnF6v0/pUxLGyIiON7BEYPu0+VL7ExLx +PYjWTVcWQXhUwcTfShLuU+miBa4QweZtjuUsJGFQnmi5mYoIusTy3m2pIKGN +YJG94moR+KQmWvqUkTDCcvruoIYIglT+yEQ/IuEPhdNyZWtFYP/o8fKiEhJK +lcffj9Uh+PCvuP7mAQkzzc1dPPREsPX0J8dfIhJSt6Rp6mwQgXAh6RBdSMLf +GZlqUkYi8D6t12TCJ2HBclertk0i2CStEnewiITXIp9cLTAh8DEb78UWkHAo +fnD4gpkI/i2XFy/mkvD69OvjOyxFUJjY8ridQ8Knj89TV20VgeTY9LPZuSR8 +5Tv1acpWBM9fHV6umk3C2E6rtw3bRTD7mVSrfSYJT/T4f8pwFIHExeL2kPsk +vGgUTDnlLAKvElft+2nE84fuATauIuhTfd/54i4JSQztIZabCM7lkNrH7pCw +WmHiyvheAv/cv6r0FBIq3C60eOEhglTtw/Xmt0lYZeqpes9LBBVUyyr/WwSe +j0s1T/gQfoBT81ISCX+5NrlY+RL8rPp4/2kCCTe7JGcyjorg4dFDsaPXSLip +5MSSn34iGOaPvaTGk3B6mU9W7XEReCp777aIJe6/cHLXvSARXJrOMgyMISFG +crWCTomAG57kdy+KhMva5mpsDRWB3Hzlny8jSfg2OtGGfU4EL0ZVX/y6TMIl +y3bGTl4QwdO7id+XR5BQ5pLjWH24CDDK0tcxnPCPS3xo5mURmOiq6ISFkVA8 +c8nK0KsiiNOgbys6T+g98nHcPobws4z0486zJDw9S3xgVZwIdgS9PSlzhoRX +n5z5+++aCAZIByIMTpOwVtpRt/WGCE4K7/b6niLm2xNzvfAWoZ/MwevJwSTc +w9VYfDlZBK2T2ddenCDhsZebivekiqDecXPPn+NEPp2ehq5LE8GEND1MLYCE +o6ynB2QzRLBlCSvAzY+EDxXMAvuzCH6PafL/O0rCveXWmeW5IghdpbMZDhN+ +luz4lcgVQd6uRezvh0jo/WrG/1ihCE6sKtyufJCEindKZCz4IpCuHG1w8iah +srtcHVMkgrG9cDfSi4RKMLfo1wMRUCxnlT/2JGFOeV5xY6kIiutvq37bR0KT +pj9deWUiMLM5/lnJncgT5Z/6JRBBipr/mPMeEqqPlN3bUyWCxx9C7KJ3k/BJ ++IZ1ek9FMNgb9AtciXzYnP26sEYEd6qtv//cSeA3jn755QWRN4Wu9arOhH4z +h+qq60WwMZjc4L6DyIMv8/vd1yJou9YtTHQg4U83vn7IGxFsZ1A/v9xO4N+3 +PNuxRQRFHUUHZ28j+sYrTFfjvQjYtyPW69sS81BefpnbIYJa1XBn/60kvLJr +7pPeDyJoCoyryrEiYcrIRqjoEcF+j2tnuixIqHv0RNftPhHED/ldUjQn4ann +hcpBn0VwQGFx2zZTEi4oG4ve/oXQa3jv2UgTEoYtsSKtHhHB3SijY5XGJGSH +iWqkRkVwcXFi/p+NJFzXZ5Da+0MEUwKb9TpGRP4H+hJhXARuWVsXHTMgodeW +YkHKLxFUq4fo5eqTUO2XYOzklAgWppTlfdQj+EnpddkxI4Je87++dF2iD8Rs +P2qKFUN0otIpFx0SPv/1M05WvBiWTixpStAi4WK1Ho8vksWw9mPJqQZNEjof +UnR5Pq8YNnz4dXj+GhJanUs9nilTDMtDHnMt1EnoZxTCD5MrhkibAb1LaiQ0 +NOHJuy8uhivT3gsrVYg+jbC8Y6hQDO16zHUzK0noccfCkkIqhrKHv7IMVpCw +9KiQ9ItSDEOb2j1DlpGQU3hNtoVeDBl3Cw8/VCIhaA6sELGKISl/F46ziH6/ +VeZ1XbkYvto836fDJKFel/xz/xXFsOZoh00gnchb8oTtNpVi2Clx8ZKASsLm +Ap/f6quLQaCYJvWDTPjxydFamTXF8IPHaFlLIiGZt6BiaG0xyA/0fwtYSsIX +6ttbX+gUw9EPnTsE8iT8SlqvkKdXDAnwVXxsMQnrtetOXt1QDJ6Vs2bpLCJh +rubifweNimFUedosSI6ER97LcS2NiyF+bW3LA1kSfpx4EbpqSzE83bhd8Gs+ +8XtimVXAXPNiMMoLebdBmoSSx+OjByyLob5D3ersXIK/c9kvarYWwxErJ3GU +JOHk0msaHLtiUD36bt4cCRJGjTo9vGpfDOsa7rmazyHhg/9RXOXxWL1PNEJR +ove+i6yVhERJkdIiqUgllNLOlySRtMkSbUKJkixZW0WFevdl5rVEtkKlCClS +SJaUkvye35/P57l37syZc87M/fDnPx8XNsC4hMEoGVJfwnmL9a5sUE1La6ge +Y2HK4IjJXDc2+Nvdkaf9YyEv2WO98i7SP/a10K1/WThysOhS7x42HEvevCL1 +DwtfzNYefOHOhmR+mf2HYRbZB0PCCjzZwP7YkqH3i4UGmz+ZXPNmQ0v36eUH +h1i4du82uWMH2aDAuTa7YJCF7T5t/7b6sWH83PHbfvWz8I75OW3LAMKPVdy6 +ZX0s7NyxxkPjKBtow0mJ53pZKOo0rh49zoafLvG3KntYGOa1cueHIDZsOhj1 +m9bNQsN3Z1WLQ9gwstUnye0rCyeUjn69c5oNN5ZphWd3snA54+mXi2fYcHpj +TH5XBwtX+edN9j3PBmFRmqFZOws3PezZsukiGyY1L+sO/shC68JTJQti2FD5 +1WWo5AMLf8nu3MaMJfcrqtZOaWXhxPOJU//EEbysLn90bWZhw9C8vuZrhP/r +I0qzmljYaGbyQ5rIBuuW+L7udywM7kvUupvMhq6A+x7mb1m4ssHfN/omG2Zd +eqQd8YbEr5V88Mtgg5fo8oyqVyx8Fxt1yjmbDZmp83xZ9SxU+PjacvEdNthU +hf5zr2Xh3As52lr3SX//7Hv76AULuxYqGcrmsqGisfT3n2oWXq8b3db5kA2S +udfc11YRPCdHP6rKZ8NS3hNaQgWpN+WpYeETNpRtnKrUVs7CAz5nK25w2GBb +eX2dSRkLK+T/xoXyid6mGtUEl7IwyHtWqIeIDQ6qwpTnxYQvq2Wv2AEbFovn +PWIVEbzWpz6bV8SGN2qBE72Qha6Hh3SZpWw4N9c/56mEhQc3Me/9LWPDJ6Up +8ePFLFyfOt7xUwUbql5YgpOQhTrOxdoV1Wywz3xvls1n4W6VHVTBSzbcfPCh +t5/Lwjc3Xhon1bNhxuz5fdYcFq54aeh3+g0bfJzZFlefsnB0g+8rr3ds0Apx +K/1YyMKNf9P2bnzPhtEBxWSzAhYm3CqhmbeyoYN6VHjuMQtZbzq6tD6yocTG +lPbmIQtNr0z4Kt/Bhvi+UK5+Hgtvn5+n3NvJBrv4sOygB6T+DR6ub7rY0H9H +q77yPgvLqJwyyTc2RHFt7bTvsbBQTWH3vT42yG9rkwu4w8LZkeHqcYNscJvZ +JF9yi4WnR7VGT/5kwy6BlgMrm4X9G9rl3X8TvKquNfhkEr4avFu4/i8bjqgY +3Jeks5DmKhu9cIwN0pWlYloaC5+nespry3LAwGCr2v5UFs5/P/HeBHkOdF0v +5QqTWSjO7ffrn8ABdY9/qapJLPz5S29XkxIHkgO6SzwTWfhlR25AqTIHqLwT +C4QJLLSQROY9VuXAT/nYdtVrLCzuROUUigMBwdOavOJZuPTyzuvnmBzwnyrP +FF9h4Ylje238p3Eg7vXS61Qs0bdzHctNk+TTcn+bzyWC91QezVaHAxb2Fnul +0Sx8vI61cP5MDuy3rstViyL6fDEUrKHHgbHB/5YejmTh15TtXQoGHBhIaZxS +fp6FW6evOz0whwN4Qnv29HMsrN9YtqTFmAOxrzQiTp4heq1+r1kxnwPychKd +2nCinwexehwzDnju65OZc5rw1eGjS7Y5Bw45puufDSX9EDU/iLUk52VP4t4H +s9Dl7gX9YCuSb5r6MvNTLNxb/LFi/woOfOyBuXEnWWjT/ivBZRUHthXG7uk6 +zsJPbZXnrW058Dj4yOvVx1hYsPm/NJN1HIhs3RqbEcjCWK2yJo31HGgJ0Y/+ +E8BCv6HfKxU3ckBn5EX5lsMEH6ls9U9HDqgoWdkX+BE/1eg83e7Mgdp9rlOU +DxH/asvbXreVA++LlBkHDrLQu3a7G24n9f203116gHzv9mDEo50c8Kj683WG +Nwt9LMNf3tzDATcdRV6YFwu3L5NfE+POgZSX+8qb/mPhrLMXPwZ5ku9V9Klb +erDQqkblrrc3Bz6NZj1O3MdCzbbMONeDHAjy2nfhxx4WTvO3zl7jxwFvBY0M +p90s7Nj/q3FRAAdOfBH8zt/JQrZf+RK9oyS+jnGiyg7SjzUCKf0EB74923XU +bzvBF+v85U5x4KGMZUK1K+HvPZbtjxAOmI88GJq7lYXxxbHW7ac5INuZkXTJ +hYXvi5Z5vjpD+DhOLrTHiYUBAXPyS85zICumONthMwt777vNZF/kQHF9heLD +TSz8T/OV8E4MBwRzFQqVN7JwIPRmSGIsB6wH9qX6ObCQweX/FxnPgWkXK0pf +2LNwV4Tp0ZMJHPizfa6pqR2pL0Ux98ANDiQ1BTZfXcvCsz1rFXekcMjyebni +hy0Lp/7qj3VI48Cdds/hratZ6J+nbLU8kwMLgr968VexsPptpur8WxwobJVj +alqzcPz8gskz73Lg1MPb8qdXEH/zWz2fnsMBYSR70cdlLKz13xuskMeBiGmz +7tpasbCyV6l3+BEH2IzmrTlLCJ6Fdhe7CzigalG9VtmShTkXZtq3PCX5r2w7 +GWDxfz6lmtVyOaA3It/1ehELkzbyV5cIOLB5iUHqkoUs9G0+E8oVcyC8YeGl +jAXEH+NHmx8gB+yfqonlTFlopj3PK72YxBegsc88Fv45oMW8+ozw8920lhfG +ZL5QNd/OPyfvT55as2guC4fl1n4LqiL6cbo2mjqH9O/bZbrfCw7kP7nsK2tI +5tnl+x7udRyYvfKb+gF9Fr7Nu9m49TUHzFQyJr7UI3pffDho/VsOtK6IW2Qx +i/Cfa7ByZRMH6ocfZqXPZKGeYZXJohYOrPfucFCYwUIns722c9o4wCrRtfDT +YeHfjK6zOu2ED3Zb977RIvpeHNBF7yR4LvMpX65J5kPJ75NKXRwY7HHwv6dO +/E0het64b8RfcrtdVKcR/yjVn/LzOwfGvzILCmKx8FXlW3rPAAfWVdDef2Sw +8ExFts3HIcLn4WOhDnTCh8cxKW+HOXD4pf0uDo2FkdOTp70YIf2qDAuePpWF +e3pfYuk/4nc+Yw3RKoRfLYvjRDJc2L1IcGRImfD58ZvIJ3JcaBHeXL93MtHv +svx7DyZw4X1CgnulEvmeWeX3LCUu3N19hWuuSPgeYrw3WZkLrZJT9tkTyHzK +fz8cp8qF8+6rNaYokPnLb+FfpLjwdfSd4Sk5or9llrfCmVy442B4/LMsC6PV +Bp6enMaFzKnTxznLsPC4lsr3w5pcmMTKK4MxJqooJm4+oMOFrSbCqrn/mGh+ +9dL7fTO5sHD+UpWUv0y0ixi+4qbHhat/p12ZMMLEwKLWg84GXEg8Zetw7DcT +/+tde9jBiAtJSblrPv1i4pM28zRbEy7oOSwJ2/yTiT7OhQPLTbkwEN86AD+Y +GKKPhxcv5ELHoajbJoNMvD7Fi7XAggtjXXrX0vqZOFSf89loCRcOadySTO5j +ovey+Ba9ZVw4ofZ9dkgvE/+ozRzTWcmFENnhyu4eJurMdl+nbsOFn+PyHu7o +ZmLuIlcBfQ0Xjq/6XVn5lYnz/ipsUbEj+f6tnm31hYkbNpxQU3Ig3zuoJsn7 +zMTh9ody8pu44PnqWbxWBxOTkvOnjXMi8cPLsmI/MVHZ7LzriAsXxhVN7B1r +Y+L+CFPJT1cu3Os/eTzgAxNXagk3DLhxYaa/wtJPLUwMkDVQ6N3FBfWsjKVb +mpnYWBba+XUvF4yHFpwsa2KifVhRf4cHFz62PuqzbGSi9cORWR+9uMB+L3Mn +7y0TCwzmRbQc4IK8n/p1nQYmTuG4KzT5coGl1YlXXzPx38ybTxv8uTDt1FYD +hVdMPO/aFvPqCBeUNF0rg+qYeKrJ4lLtMS7UZTbkfHvJxL35d9g1J7kw++Gz +4n0vmDgpcP7EqmAuXOuhTXtTzcTQ8S1nn4dx4djU3Bz7KibOnfPUoCyCC39e +hR6DCiam3OT9LDnHBepXUMjC50xcZN3/rSiS4LM8VpJTxsTKSo8p0mguFJ7M +WarzjIkvuxjb4DIXeoIEgwklTOQkKVeK47hgqJX/WamY3Cc57hdd4wJzdRA9 +QsrEg37tc4WJBK8GudBfwMSgRS80BMlccCi1nu4nYaJlFnMh/yYX/OV0/rWL +mMhywmO8DJJfXAxzp5CJNdZ1H7jZXBjvd/xAPZ+JM2Y4HePe4cLaOzU/7XlM +jHpoa8a9zwXdtWclRRwm3pYUqnNzuXDd5ywuYZP+Tcsw4j7igqmx5G/hE9Kf +a6pe3AIu6D+ZGWhUyMTOV5MruE/JvX6m7u18Jm6uTnblcbnwQKA3ResxEyfq +iqfwBVzwvpO9IPEhE6OrQr7zxVxo0FOIV8lj4syQlt8C5MLn8BWGUQ9IfdBp +LCrmgoLs8hHZHCbWlqTHiJ9xYc5In0LoPYKXkiIFz7kAJWsdft1h4kDY3BKs +4sJjsWllwG0mct9OySh6wYVt69PP9mQz0WiEfaukjgux70KO7c9iolKEft2z +11y40ijK/JjBRKvtB+Y8f8sF5bIN8rvTmRjuFJFX2cQFDW2dW+9uEv2zjm2r +aeHCUs/pp7akMnFXtL1JbRsX1htYR9cmk3y3TzB51c6F+N+H6zckMXGxV4Fr +QycXbgVkbKlIJPgc2pjb2MWF0Hki1bXXmfjIsd2g5RsXDr7lyJVcI/rlnXzZ +1scFVbXTptZXSb0BU7M7Brngmil3QxJH7n2fpn39yYVwQ4tFVleYKL9rf/G3 +31ygH1GYLLjMROeuedTAXy58WO6usfgSEx2V6Jd/jnFh0G2JByeaibToaaYj +sjy4fSPs08IoJtYx14yNyfMgpEr75pNIJv48l/FLTpEH6xqULi+4wMSOeCN1 +pck8mHhzAafgHBPD5vV5qajwoF/uAsv0LIn3c6CZTuOBl+xQfn4EEw0/WZ5W +Z/Dgb7T/mfnhTGxIqbCfrsaDwNSOmPwwJrJ7HqycrcGDh+Zrq+eHMvFI/oe9 +c7V5IPA8t6YgmInP7wbkLpjBA6nF5V+mpwi+WR7TLWfxgFa0+UPhSSbu2SOC +Ffo8mDq9aNzCE0z8kB8RtWYOD1YE1mxjH2Ni/XF+6AZjHsz/5PXF/CgTefYH +brrM58GltODHvCNMfDvnRscOMx5MfvP34ZIAJo5x1233MOfBsWeNn0T+TExr +O/vLx5IHcY/kN6/wY2KO30Y8YsUDi1eHhqS+TJwg++jJqRU8WHZ2fO3qg8Qf +Eu/XnlnFg7PK3E9lBwhfPtuox9jyoKHipPF6byY23zx/+do6HkyZZvmoxouJ +qySBRjfX8+DHji+eTp5M9BihftzeyIO1o8dd3ngwMXuib+fDzTzg+L4OcnNn +olN7hDzXhQefdH68btnLxB+zd2xEVx5sv1rs7bGHiZu4o9LnbjyItV244Msu +Jqrv899bv4sHzWi+4NBOJhaN4xg27+XBxXih94Ab8Q/9Bq1ODx48sn/y+sR2 +ks+Ht1b9XjxYf35K0KgrExnleGHkAKnvg9jp7Fbiz6UJI/KHeGA6rtBdcQsT +XdluqaqHSf+uNN2/4szE0yvUvDQCeaC8wkiP6cREhaX1O2Yf58GJkviGm45E +75HxIaZBPGhrGgPdTSSf2m3lViE8UFjr1fJgA/G3YZMV607z4HA1e8ECB+Kn +xdPanM/wwNuqVcS3J2c5nUd7zvPgj1d9iLUdE/Hq6rsHL/Lgm97ZI8/Xknmh +Fff8RAwPnru2pm1ew0R+3AS1c7E8qP7w9t+71Ux8nZQfHxfPg+4He6+72zDx +hka8eVoCD2ru7N/XbU340vlI4cENcn7W4n50JRNf3VeR5abwYGAiN3l0OROb +dvANStJ40OPbJh+5jODzuOBUbSYPWL833lO1In56+t+vlls8OMLvC01ZwkS1 +03cye+7yIBO4UbMsmbjwXt7RPzk86Jh5veKRBRO3Rk07OvEhD6aPO7XS0pyJ +DkYD6cx8HrwIcu0uXkjmqYPV0KwnPBjjalduNGOiat7ocTMOD/Z8wdZ3pmR+ +aVnNWsXngf7yeYae84k+To7+dRTxYOaA270+E+LPQWtl9gIP7q9a5BZizMRZ +P3VM/Yt4kB742HriXCZ+rrp0KayUBwdrBLsS5hD+Pb5GxZbz4F/WukfTDZk4 ++dSSZ2mVPKhaZW/2UJ88P3bh9sMaHpQpFfRYzmai2++wR+JaHuzc7tf4bBYT +P+02aK9+xYPj1wL/Ousy8WPtRduWBqIn3UKnthlkH7C9W9fbyIMFQRrNftOZ +mHngQsxYMw8GFbNS/2ozcRxr3mHVNuIPjgtjo7VIP3Tvhs9o58HbqmdP1TQJ +vi79ogWdPODK2avcUyf+F8fUW93FgwlnH6ctmsZEKlyDv+UbD/TeftlTwiJ4 +qSsE7e/jwevkzi3OTCaC0vv/ggZ5sMQj7fRHOhN1jW+FxPwk969G3gdQZP7s +2Idpv3kQnvDjkAyN+Oduzfn5f3kQsCFoQbwqE6vlGyuLxoif5AfPmaHCxNVa +mddey/Ih7ci3LQXKZH8IPxr5RZ4PHZvwqfVkJt5s3XlvZCIfzk38vKZOiYml +JnsGp0zmg52742QPRSaeMI84OFOFDysM+uV+TGDi44JyFXMaH0rnCOafVyD6 +jV36wY7Bh2Mr0q4w5ZlIj2h9v0uND/OtL824P574g4tA/ogGH9RUgz5byjJx +uUyd2wVtPkTEb2mpHMfELcZz36fM4INCPqW4e4yBfS9qoh7P4kPgjjtefaMM +FCeCR4k+H6ou/v155i8DbbzkfN7N4cPqBZMEjBEGyijfutlrzAcb1+LH938z +MNIla2S8KR92/WW+XTrMwCFF+chpC/mw0Wh4wYufDGxQerV8ngUfxg9uQ/ch +Bn6fSde1XcKHC/uNwn8OMjB9RqXZjmV8mJS970j0AANTXv87HLCSD534LVG7 +n4GmM9mNkTZ8uNwp/Vb4nYGFhYOH09eQ8/KXx9f2kvjH0Ixtx4crg0oL3vcw +8NPSGbpVDnzYavmfTkA3qa9SY8WnTXwQr61ZrtDFwIcynMg/TnzI2bE0LvUL +A1uyh/5O3Urw4qZRpp0MfBf1Id1wOx+orM7yZx0MrIsMOWS9kw/5npPyd7Yz +8OV/L7y37+GD8taR8oGPDLxJa40LcCf1ludQUW0MjDIu6Ijy5EM6SzFO5wMD +lwjX78/25oPR7UnLOS0M/HbwKUN4kA/T629pbWhm4MrZ/X31fny4N6XEpL2J +geWcCb97AvjwuXR3QHAjA807Ro0VjvFhxNerg/aOgT/j313ROUnOIdXRDxoY +6JyQqW0ZzIeewAv7Vr1hoH7WtkanMNK/V2cPNL5i4Ir8CcW+EYRv+rzsI/Wk +nognby+c48OXYYbypDoG7v68TyMrkg/QeOX+rZcMPJ2jFiOM5kOBh9oxqxcM +vPC4Wf/NZT44zss+8rqa9PcZp78vjtTfopPlV8VAvWc5XyYlED4wzo2bWMnA +3xdEk/Vv8GH2aWlc1nMGKkp/7FqVwofyiorNS8sZ+Gfftve70gjeeVdtXj9j +YKzBt8igTD40NE3y8i9loI4Mf+/1WwQPliFfsYSBZWypV8FdPvyc0Wx1u4jE +V1FOqc7hg1yRev9yKQNF/Zl/vubxob341et3wMBco7MXFfIJn4dHu45KGDgn +gm+j+4QP2xdFzVcVM1C3xm7uSg4flLYcuJsrZKD1pCWrdvEJP8zjHdYKGJjz +/sr5UyI++EkGZ37iMTB5+uafN4APTa/OGp7mMvBw6dkEdhEfwvcv3KvBIf2/ +YLy3vpQPGd7Dz7hPGRi20mV7fzkf9F8U7XJ5wsCqmtHTKlV8qE68MKu/gIFn +B+e9Mn7BhyEw14jNZ6BSet8Whzo+CDY9szZ6TPiXYSt/8DUfujcZJJU/ZKD3 +/YUfo97yYcKLTdpeeQzUEBT33G/iw6IP816Nz2XgkyvDs8pb+LAlVcjPyiH9 +mfguurOND22an2tW3Gfg+h8+2hM6+DDxQjbVcpeBU2yfts7+wofrfz9Fhtxh +4KpcQc2abj78fZBmpHGbgVzVc91evaTfWPSPn83A/dZM88h+0t/Da2S2ZzHQ +c9qJR/d+8EF3UMNsOIOB2fvzXMp/8aHxvHnCjXQGHqdEBl//8KHrQNQsizQG +ZnTlzlH6xwefjgntb1IZqMmJcDOSEYCizZ264ykMPLrDhucgJwC5Opc+ZjID +k+7+tPGbIADDz4rLuDdIv85ljV5REkBDA5fnmsjAaI5dR4GyAAbHO3kMJ5D+ +aw79qVcVwEBlpVXyNQZuC89Z/pMSQPV1NdslVxlYX++br8Yi8auMQpriiN4r +VjsuVRdAYvNwW8gVBp7YaKG9W4vkszzwuHYswdvZXj1iugD2ecZa4iXy/pGz +q2/rCkDz5TIj9xgGPn3+5WbZbAFYjh1dLxfNQJMfp3W7DQVgcFI/5e5FBj5o +3/h2irEAXpWsY9lFEvxP7hAumC+AzMCqou7zDHQ/m1u11UwAe1h3b8aeI3x/ +vnpysLkANq99ftv0LAN7bI1PZVgKwDjDsOlVBOE7+DBLrAQwBQQrToYzcKni ++LYvKwQQvv5wncZpBp4ZG3mnbCOAY9+WXYNQBqYF7pAxWyOANU6sMx4hJB8n +fddtdgIoMOpLnxDMwJE9nk2hDgKonyf6mhvEwPBIjdhbmwSwYJq/u+NJwu+Y +Tf7PnQSQc/fvxKHjDNQ+OOH09y0kfuq25uRjJJ+adWLGdpIfHG9dfpSBjfen +zbHaKQBRs71K+xEG5jWfLnXfI4BDZeW+UQHk+fkRV6LcBfDGsf2XyWGir2jd +i/meAmh3is9/5cfApue+jxu8ST4PihNPHWJgxFN3+bGDJJ8l/g+m+zKQN3dS +9Gx/8v7nyO5nPgyUTvBdtvGIAD6myLgdOsDAEpMYnePHBFC8+uUQ5U30FuA3 +P/2kAOY2dEoEXgxs42kcfhYsABU7K/Y+TwbefZbU0hsmgLzr0rcT/yN8COoO +Zp0RQIjooGG+OwOZ0mnrVp4n/ZWa3HPdR54/ZGhz4CLhX+6/zWN7GOjgMP3Q +1RgBXLr4wvDeblLfBrlnwlgBwP7rJpt2Eb8xb9rQES8A1u7Ve3/tYOCtvgdy +KtcF4HPupSTDjYG+e4O6FieR538Z26/bTvhh4zDmniqAbe8cZftdGVibamhz +OV0AGRuNO5O3Ej3OZnG4WQTvCO7wqi0MfIbq2z7eFkBF+ifzHmfS391LDJXv +C8Dj3Z2s604M9OMGGy7OJXzZP7B4xWYGYlH7No9HAph8Rvz3yyYGGroGc2ML +yPe9R3qubmSgqoetreAp6feuTMVlGxh45dY62c9cAfjfy3TqXE/62R/dO1VI ++BzXVxZvz0CzJTSl5RIBCL3PHbCyY6DXgXYXH6kANM44WnSuZaDHqgkvEkuI +nhbamV5dw8CNeeEni8sI/965uy6zJfEjtm7uqxCAY118zhcb4meZsdu1agSw +PKJCP2EVA4O+mcTb1wqgZYNM3QprBu4yXzZ84pUAbt+ac797BQM3eEDsnQYB +qA0seXBjOZmv24Qu9Y2k/3mz39osY6DVe3N7mRYBrFr/0bRvKQNt31j4z2sT +gLmdO/fmEgZ+XVxSvKtdAHazU73tLBlYWtu29lKnAPS8Imx/WpB5dSRxRNAl +gLA4xY23zBnIn/Kl5es3AciYGpxxXMTAgcD3/Wr9AvBsqG0bNWNgzPmghet+ +CGALa8Q3dwHxX/PSuyd+CSD0YpLudlMGFjuVrrv3h8R7li4/YT4D5z05rd4w +KoBfh2UptgkDf5j+0ZggI4QwI956D2MG+oiWbLCQE8L1tKePp85l4HaLtY/2 +TxCC8EjPcpxD9q9IvRVJSkJwc3P57WfIwG6vprFyZSFUTWhr0TIg+1ijX99v +VSHsWBD5vWo2AwPud6ga0YVgdX2pUYge0X+R7b6dLCFc/j4QbzSLgR8mXG+7 +rC6ELXLZuk0zSb/WvYsHLSGEpyz7ED2DgZMPqR3pny6EjyGCsiXTiT+6bzuj +O0sI804pN3ZpM5D2N71oi74Q/v1nxErVIvqYNrDg4hwhlFCKp9drEn1fdK0X +GAuhYW/q1L/qJN6G17e+zRfC/jkNNXnTCH9XBNyevpDU71TA2aVG9LTM9LWz +hRBGJdrPp7DIPkTXMI9cIoTs7XQFZJDvlywsEywTwrBK5KEAOpn3qucu9q4U +gmf9wbGZFOnv3ymnZq4WglYyV/hqKgNlHZpSt64Vwmy3PdkXVBm46Uvvt2h7 +IThR254sViH7pHDTYdgghJWlib1dygxMTB2v+8NRCLuPqrqkTWbg58OqCoYu +QmgxEHzaNImByrNCpu12FYKk92KarBIDFaIcdl1zI+fXARHsiQxcGxNZW76L +5NN/4Ir3BLJvKZod/7eX4LPNq0xDgcyz7y7rF/4nhKv6Ow1fyDFw69RBR5/9 +QvgSvJJ9ZjzZV7dTkZk+Qog5OfGguSzRR7bw25tDQuDb5Nh3jSPzuqv/nHKA +EI5OUHNJH6NjXZfQYfVRIfj320U6/aPjpgwd2+ATQphmtrBdYZSO37pm+hWe +EkK8TJWPcISOLrzKsq+hQsi/rqBx+A8dh2t1nGZEkPyM3v2Y9ZuORxbpKW8/ +J4QCOcvhd7/ouORp23BcpBCeemjoXflJRxmbHYzn0UJIjjsWvHqIjps5N9xl +YoWQ8cZq5PcgHWX/3PxgGS8E9jmv248H6Hj76+ErRxKE4P2t87hnPx1ZR6f5 +594QwqAX54hGHx07gm+ebk8Rgvn6shu1vXTs+zmGWulCePxL5XPkNzpuyLAz +c80Swvnq87uW99CxPOj0m7jbQgg21f73o4uO253vPai4J4SBmJqy3K90LFxa +9lguVwjd6y4J3L/Q0bi7vWP5I1Jfg8ObaZ10fLlTYUNQgRD+y5PXqO2g47bT +ph1PnpLnrfIuXmynY7SW76NerhB+jDfXWfmJfG+16L6hUAgnTye1/Goj+GTo +v/pPIgQF0+fPHn+g4wvbp/MzpUIQpYkb9rfSsX+ct6SpRAjrNh6cOr2FjgFv +14WyyoXQVVMW+PY9HfMv7jzkXCkE38fl/+Ka6GgyKyf2So0Q9M96FNo10vGY +18K2ylohjHy4HCv7jo4Ldsl5TnwtBEePZdeEDXSsqtNWt30rBM37+/HoG5Iv +L2rcmSYh1DvKMk1e0/Hyd3s1aCF8kB2f0FlPR8f/vPf9bROCn+eeJVl1dHyq +9KXJskMIL/WUFXfU0jFL8iLyxBchqAzKjGO8pOOO/Xqe7G4hGIab6byooaP8 ++97AwV7iR2dveEVV09F+9oKnpgNCWMvVfWNTRccwzSG9w0NCuP+2+tC/Cjqq +3F/2/NGwENLvxxjzn9NRsXBq+rcRIZzpdmIcLafjfurE7bljQtA9ME1vXhkd +RS8C3x+UFUFRz6udXaV0XCVUXpMrLwKGbbDoTgnhq9i+rWuiCFasll29r5jE ++zD/0ZzJIqiDPYOaRXQcaCnN81ERQU1cVMVbJHwpVml+QBNBxrVjzxOAjmM+ +9BXdDBFo3Z/W5yihoym8qzOaJoLzBQeXK4vpGJ/nmeSrKYLgxH1Pnwvp2DpJ +cuWhjgiUrfs3XxDQcfqXL7zemSJ4lK7KsuHTMU25h5o/WwQmmezx43h0nOlf +nRlgSPK3fMMSc+hIH7u658lcEfxz93Y+xabj/XurHIfmieA1051j8ZT0Y+nH +IxZmIkh25q8cKqRj6LMTZUHmIhhQ/2+gsICOViaKG0WWIugK2FZ5OJ+OjTY3 +FcasRPB+76VKk8d0nD9i3m+9UgThg0MDPQ/puNC1Vfm8jQhaFsdY5+bR8bNR +6s7yNSJwtVnFPZBLx1L/w82T7EWQZTDVxeABHbt+/xe3aYMIBDK9rM77hA+V +YceuOYrgV1eN7N17xD9aii81OItgdPwDuuddOq75YflGw1UEIv9jG2bdoeO/ +WZ2b97qJ4KCL/sNPt+joYVI7dnuXCK42sc1uZdPxmcm/1q97Sf2mrDb3LDo6 +fwocMPlPBOWR1uyZmXQc3LXY4uh+EaxTNcr/mE7H96GbH/F9RDBDtqI2O43o +Ta/UdeyQCBbdoKt73KTjvvXJZrYBIngwWSZKN5X4xad665ijIujMPq/dnkz8 +5e2pM7UnRHAlLanxdhLBe0rCECtYBOds5os9bxA+H9FL3R0mgi8tq57NTqSj +0djCwDsRIlAVPxvqTCD+FV8e2nNOBPEmhetzrhG+6X8WmF0UgXnkSJnPVTpG +ZV6bExwjAhntZJ+58XRUU2qoKooVgeGGCLPeK3Ss0eVkKV0VgdqRBzPzYwm+ +o+Y5TtdFcOCb0uIjl+modWrPp5QkEfTNTA5ceImOvy8tcvyUKoK7Qetf/4ym +43kT+G6UQfqxQ20XP4roy0C26Gg24af5T6WQiwS/OLky8R0RXD7V1LI8ktS3 +quqfQo4IIlIlb2Uu0JHtuOeAY54IlqomDpecI/wJLFZIeSwCodO25RfP0jGj +6N+bT4Ui0P8wkrP+DB3LprIajTkieL74xFKVCDr5P6GpnuSLgP4BB+pOE/2x +f54sEokgceeLF4lhdIxofU5XRhHILU6ucwsl/tIa/8m1mPB/jD6iHUJH2lWX +juxn5H6Vpd2nU3QMGWWp9z4XQcK1v6J7QaR/mh8jLKtFMDF6y1bfk3T0fcLT +PP9SBJmSJQzTE3R078rqelkvAl519u+hYyRe1K1uzQYRlG09N154lI6vzxXr +HGgUgcvf1wvCA+moNDQhkt1M+OkRG2l7hOB7//gM2TYRnDC/LTMpgI57rjK+ +b2wXwQWdKVkv/cn5cdf31E7Cx+oiz0Q/Otp0juh+7RLBs0Hepp2H6AiLN8WY +94qg3rZz90xfMj8Su/TO9YtgVsjqa1986Gj7pX6w9gfBa3NZz6MDRA/6U4d0 +hkXQcM7r4DFvOnrb3Tf0GxHB4TdqKlb76Tg6PyNe9E8EEqXXDbJeJN/PI3Mn +yYrh25f40uf/0TF1S8nIdnkxLF665m2cBx2zvf+N3p8ohrqaLyrb3IkejfPN +hieJ4W/gYV+dfXT86NN6c62KGL6P1n/7vIeOj9ZdtbxBI/FWKSU82k3wzqhR +7GSIwUxTac/xXQRPtxRli2liGPas2Lh8Jx1794+sjtQUw4kxaw+FHXS8/ufX +4wYdMXyo2H+zZjvxB7i+0UBXDB4PF/xJ3EZHw7LG6UGzxTDzSnLIHlc6RqpV +z64wFIPljmu6BlvJ/DtzZK+GsRhgjPm9z4X4j0Ztte98MQgOabTynQk/nvb6 +SczEMCv5xuAZJ3IfWGujakHyPXlmrsNmOrbNO+3gvkQMPxTqoxiOdGx/PXrx +6TIxTFwZPql1I/HXUOffCtZi+KIbUXB/Ax2VR86nbV8thpXsquAjDnSc6Jx6 +LG+tGO793u5jtZ6OP04lR4zZiyHzt06ogj2Zl4EXpE4bxZCCjKcv1xG+z/Ve +dHczibdzgUrqWjKv41Y3/3YRw/NW31jPNXR883AGf8M2MezeJTKdb0vHt//J +P8/aIYbHPazff2zoOOPh0OSfu8WQe+94e+kqOiZmDJ+zdxeDVu6LwThrOvbI +0E0zPMXAZarr71xJ8B7cMPWHN6lHeUOY/go66v2Xp2fnK4aQJ3t+Dyyj47lF +i/zS/cXw3wK7JIkVmTcXersGj4ih8+m4HdFL6Wg3ryXV7rgYFA+EWm9dQkcD +I6WIjCBS72nO+pmWJP+IkylDIWIImnsrqNeCjuOmz/uyPlwMU+4uqRSY0/HE +5IU+2WfFUKN3dGXkIjK/LC5P/31BDH2da945L6Tju5iVkxyjxXDO6MH16WZ0 +FMxxmXPvshh8F1w/9s2Ujmt7qkP/xRE8rMdOCubTseLZE/mtCWJozmjNiJxH +RzOYVPTwhhiWJBl3uZjQ8UFdU6F8qhhST3xwnWlM+CI/5+2udDH0Xv7+5bsR +Hecu+WvKyRJDt7FTmngOHV9Fb8Mpdwh+D8eOxhjSUQdWn91/XwwvPb77bzcg ++U4oO4W5YtB+qBarr0/0YdVxd9pjMXR8PvJiSI+O4gN3JgQWiqEyYMisZBbp +X4RyWhWb8LPghvCqLh3/XNDdP5svhj2TNnvtm0nm5YlvnuEiMZh8VVs4fwYd +fzkHJDeCGLZwPs8a06Hj3XFsmUXFYnBoK1hco03HouOS9CvPCN+aAvzTtOgo +eXXtcNdzMcxW037uq0nHSpWlJ2yrxXB3yiNbKw06ThjjF2a+FIPR4mkdk9SJ +PuuYun/rxfBe1fVekxqZP/tcy10bxHCVtedSLouOp9kR2U8axfCp2iAhmEny +r00tUGkhePByJesZdNxbkDt0sE0Mq3a1TtKk05Fvw/UrbxfDpLXC4B4a2Z+z +SjT1vojhs4zFFPFUOh54+G4sopv4g6Z98WVVMj8P/WW19orhp2FPym6V/8/f +BZ5WA2IIF9Ovz5tC9nf1s53JQ0SvfsKCccp0PD48kP5rmPChoaGvdhIdr8Vf +jNnyVwyHEvY53VIi/Hth9/DJmBhyVju+OapIR12RlRxtvAR0olND1kyk426X +/XGHFSSwQ3GprdoEMj+yX2x+oSiBawdmz++Sp6NcYvA6E2UJ3HHZskwkR8c5 +CwKOXlaVgNoJ8I0dT8fkEM7rHkoC9PCdkr2yJL/gzb4OLAl4z5i1wEyG9F9z +3eI8dQlEqkwplx9HR42gTMvJ2hK4IEMLf/uPQhfPvYd9Z0hgWoG+W+4ohY+n +xb6vmiWBxMY1W8P+UtjmNS/M2EACP6z2H908QqH1fvstsUYSKEkOfzrrD4Xq +szv2fTeRgDk7mjk8TOGn8/K3HRdIgLk1NKXyFznfKtAoXCSBSlvHlRk/KVR0 +/V5OWUpgi+PIhMAhCn98KMk9ZiUBh9XH+9f8oNCPvrikYYUEPgzw/qoPkueV +NtGW2Ejg3Tyh4fd+CqNSVRJvrpHA1dqjJ4v7KHyhGr5pzE4Co/nNX258p1Bz +8d3l7hskkJ7z7ZRvL4UPmBc9Sh0lEJV808T6G4V1NUYSAxeCz76P45k9FFpa +3th4yVUCAe2cP11dFJafeUnvc5PAwYk0Cr9SKBfTrOqyWwJ57G6H618o3OZd +soq3j+DdsPS+TyeFcYYxDzQ9ydntz6yVn8krTy3WRXhLINtEp5jRQeFUo5ca +nw9KYOXa7DPdnyh8FeCmt95fAn+Sgj2kHylkPnz/X/4RCXhq3PK80UZh5POd +jYzjEkgtV4069IHCnqYP54ODJLAsTVRt00qhSavf/rYQCfgkpZupt1CY/n7y +6bXhEqgVPhL0vadwyhusenhWAimTOtzLmijc3BrnSI+UQGCs5dz0RgoNus8o +BUcTPDbcZh57R6FWz80/bZfJ2UVrpsNbChfP6JhuF0/wK7i5UbeBwjte+0Lz +E8j7x9Rv/nlN4blKlqpakgSMn8Qq1b0i7ztOeXc6VQJ+4f3JOfUU0qesf9uZ +LoFNQ0vsI+oofPSzXtkxm+A510Njey2FSiaPg3h3JFC9yl3Z9CXhR+RHjRk5 +BA/X+dMVX1DIXnf0R1SeBPoulzq3VVNoutJn/OBjohdF9fv8KsLHpIp1O59I +4HCfntbVSvK9LaklpRyCz6G2Qp8KCnXCPh6fJ5DA5tzVB2yeUziqdHdPslgC +X9+uXalZTmGsSk/YeKkE2LM/WQw9ozAmQfDqUIkEXpdNcawpJffZrH1vy8i5 +v+jivRIK59opzrKplMCj97/awospnHzmutajGgk8L7qzw62I8GNv0YZpdRL4 +9aFkyExK4buu60/PvZbAyeMb8pWR5DuT6dT3VgKDJRYxnRIKQ+bazd75ntyr +hlyQisnz/QtNy1slEJZBy04VUfgnqPXIwk8S+CQYbD4mpHDWr43dmZ8l0PuQ +tcRRQOGYU1SKcpcE1jw7zpnDpzAgOyH81DcJ/HZWdJbnUXi6/XhaZ58EgnLK +VD5wKNxkat7v8kMC1zUe9AjYFM6MeRtc9EsCZ2Ryvl5/SuGI6n/L5o+Qep+K +FAKeUHi/sGVR+j+ST3yzjUMhhYmRGz0nywLUDI3P0i+g0PUWv/KUPMCRVQba +4/MpzB0/+8DXiQDHGlcJWx4RvRYnL9s2GWC5rsNJwUMKAz+q25WpAESds9qS +mEehxP1xjDlF3vee7HQkl8Jm/13yd5kAB5Y+9dv4gMT7MYfDUAdY7Ds3d04O +hX262unntQD+HTw0YcJ9kk+7lXhoOsD8R/5nP92lcMnuy5TXLICk+0Y6eIdC +xmVG1ht9gC31yY03b1P4O6rJc60RQMP9QnbQLQqr3Dv28UwAWu/45W/NpnAN +ZXndcAHAWbtnFWZZFPJK34+lLALQYxTKTc2ksDvgTdZkS4CTl+bs7k2ncN3c +ucFhVgChiwwaKtMoXKraHtO3gryfdMs/5yaFagy5V+42ALorr+tHplL4ef9V +59drAFbzh/79l0L6M5ygtM4egHFNPLQqmfjH4NTfgg3kvKdj0owkgv86FR2T +zWQ9zPe0HkukUG/WtZAsF4DP2haJzdcpnBd5aypjGwDL2klJlEDhpdA1LRd3 +AOgXPk5LuUbhdoMzH//uBhiess4x6CqFjhd3age4A+T8pGZuiyf+9LgpvsMT +4KbSZMoijvgHT36Z2wGAoF4DXeYVCuULPui88AUwXOfhNHSZ8OPWkSWrDwPU +wZPMV5cofJkhvcQPBGgeo015GkMhrbyeOe8EwMDToJRr0RSa6T9+e/sUwI/L +H2wDoyhsL95epx4GIG+1UtX5IoUtue/Gx0cAnD8S/3tBJPF/atGhCecBlDqr +ZKgLhM9fA6aEXQTw3txtMHiOwpPrEzt/xAA8OtjhV3+WwvUb7w8fvAKgPfCk +/skZCkNlH1l/ugpgcWuTa0IEhXDhYZFbIsDDFQW/j4ZTeOFdXnBdMsDB6FrB +ltMUKhsV+tqnAVxel5NiHkb6f7D4elEmwH5r02RWKIWyxZ9/LrkNELbcnTMc +TGHHkplxT+6R5yctGnh3isKHiiH75uaS++PZDsIg4lesPz53HgEc2nSr9OZJ +Cq+fyc7TLgTI8J6/K+wEhWFBwbOT2AAJiauovccJ/35Hv53KJ3g9ruu0PkZh +iX5DEfk9hsuX3zXqHqVw32/PDnkk+Sg59sgHUvghc9nK8GKAvPHzNL8EUDhj +1X/1f54BcLb5+1QcJvwob00/VkHw7VZsyPMnfr2Lk91XDWCT/mvfFT/S/4W9 +LQdryXmb6aQjh4ifzr3s3PmK6Glcfp2LL4WVocnjPN4CJJ7x5VkcpPDpummf +W5oANj7fI1L3oXBnGE1uRyvJv/hMy6g3hYfcYtwaPpL899Vot+2n0L8r6qvz +ZwCNG0tDS7wotFlML3j5FaDdtfj3PU/ST6/5BRu+AaxM3Z0Q8x+FHjfav1b0 +Adi6KWzw9yB+UWG+Y90Pwre4J7rO7uT7Jsbyz34BLFuyR81iH/GrkupOmxHC +J1dZI429FA6ItccX/QP40HV9x9huCrNo14ymyyDc/0l78GkX8cvJQwGtsgiM +iCPM8p0Ulm3jvUqXQ1C6+jAzbweFgn+tzrsVEMLMxOvi3Uh/WP7ftSYiRAek +TDm+nUK3TO97zYoI29yWD7hto7A//0Vw2iSEuf+yBle4kvnncs93lzKCh7+E +preV6CF5IEhLBeFg0aVNSltI/fFPbzWrIlQoKzz47kyh58K+r2k0BHUf3Zmv +nSjce+u+A/nthAkDzVzBZgotvn6o1GYiOBWZHMx0JPOZeXN/Kwvh+e8pVhc2 +UTjNpFkncxqCI//EHN+NFC5Yd+/HXg2EJl13c6cNhL/eox0ztBC8dpftWexA +odedj4MftRHk4zLvaq8n82yim/bt6Qh1bZ+V5O2J3u56eXrORPgTdu1S9zpS +/5lJz2fPQniSkGFUt5bUI1hv90UPYbmT3BfeGgo59nM+5+gjdH4RSDNsKVy2 +5UHGQUME2Usi3oXVZN96XXPM2Aih/7Bs9SEbCis+pnh/n4sw7cX5fy6rKDwY +P/VkgQnCl9YVG6ysid98XXQ7cD7Jp8WQr7uS5CMz6duiBQibFZetmrSCQvPG +a07DZgif0498GVhGYWZ8/SvBIgR6W3FuoxXBc0F1YKgFwj5qzqWipWS+lJ+d +t9ISwSU4PerBEgr1Pf5MGL8UIXSv+u2rlhQmqC8cLbVC8Jx8o+nUYoLHoJlK +1HKE5Arl+R4WRK+yo8scViLc/nIia7052Wd2Xo1SWYUwlVMzb+EiMu9UfvXX +2SB4n5vUpLmQwqHpJicSbRFM7+nfkjej8HzBkmluaxG6AzUv9pqSfgp13mrZ +Iait+hTVMJ/CJz4fnrTZE/4cPHYf55F9WXA6744DQop91accE7J/PxtXdGAj +wotlbUuvGVOYdtPrh7EjwvzbD/ND5hK/XP/UZmAzwbN1ziovIwoXful5zHFG +aN7s1LdpDoVFYZRl8BaE4n1aQktDoid9o9YVrgjKx89n6xqQ+fXFPFtuO0Lf +r7N3lfUp1G60PPPcDSHeiVb2S49CVZrF6did5PlBQ7mPsyhMijdNdt6N4Leu +ZFeVLqk3dO5Ltb0I3OLGes5MorcPc2a17ENoaPDyyppB/K9y3vVbHgiPf+9j +XJpO+Lh5ue4BT4QpmaUfjusQvoZtrzHZj1BgE1O+T5vCn/vPJf7wRrDfk1fl +oEX8eFZRsMAHwd9/5jcLTQqNnjHCwn0RcgY+G+pqkLPLmbQ1fgT/A4NnpqiT +efBTqXHyYYSJW62Hf6uRffVBoVl9AMJrq4qoDhaFVhdDHiQHIvy7FWlRyyR4 +5B5cvvcYwk0qUEbMoPDf9LPfZ59AYDMudN6nk/kxXCr+dhLBxFzwNYEi+4S9 +Rc7TUwjvZBUnRpBfgDWzGwuCQxAOTfJddWgq8d/MgoZVYQjn294nbVcl/ysv +UV0pHCFTbcukNSoUCouVgmsjEGauqUleMIXke/nqcNJZwm+ZVat1lCkcXrvj +2t7zCK6fcpQmTyb8mui93iCS6C1yrGdYiUJ8KZzedxHhe5RVd4cihYMV2yle +NIJFtJt8/UTCt7+rdcMvIUgNnJfiBAqvXgh3XBeLwJw4/fJDBQprA1VSVeMQ +MqoEf1LkKbzW8EP2XTxCmqbWuYtyFPoUm13MuoZglrnS8Ph4Cn/tfTHH5zrC +HhmdLg9ZCg0fVnQtuIHwu7vg2WYZCu3KDMpHkhAKlQclK8ZRuKGkp6gkhfCb ++b7OeIyGCfnTmi7fRLjC8ZLV/EfDHbmFqq7pCFuyL21QGqUhr0bgMT0T4XTs +2qfDIzRcp7fo1dcs4j+m8eadf2ioKZ7l/uQWQqStx6vXv8m5+JJy6B0E8Vnu +5ZJhGn5adPjNmnsIk3Ii3Z/8oqGLeZ1INYfwKbDaKfsnDVMa2Nj4AKHo1pnd +8UM01LPQ/ng7D0FvJPN8+A8aDrtPmeH/COHqspnl/oM0XOIXFWqZj3B9/rjZ +ewZomHX06q/xhQgXUxdmbOyn4drrc6/UPCH3a/lmy/toWFHjtjqZTfg/FvnJ ++DsNKefprP+4CJy4lEdavTS8rh8+YR4fYfbzrgTlbzRscQ9l/BEQPgcdSRzt +puHmmRrWpSIESaDRk29dNNQP2xkdJ0FQvaTS3fyVhqPhq/t3IMKcJLXlNV9o ++GrLm2P6RQhZ/ivzJJ00PDqOoTZYjFDTHb7o8WcaSu6OfyspRXjTWf8uo4OG +Om532NFlCPdWmiXHtdNwhulo/tbnCAOvkgIjPtFQZvWUipmVCObn/3kf+UhD +2dymcd+rCP/Ndgd5tNHwYYj3FmENwvGSgtsuH2gY1MQti3yJsEZrsMu2lUb+ +R6tcXeoQnuppOli00FDj8AP5Ga+IH5XNLjdopmF7l3Ptt9cIl3sm71F/T55f +XSUQNBC/P1OuOrmJhiEZzKLIdwhlJ52bR9/RsFHRvNOlifRbcq/k+1vS3zzj +OTObEdaugWdtDTS8GT8u5nsLQvv4hE/1b2j4sblAUfwBYbRHR+PZaxo2ZKy+ +G/2RxB/eeYj3iobGg8K929qJHqbbNj6op+GmIXXL2Z8Rdu+p25dWR8Mrkv/m +/egk87Xg3/i4WhqG7b1pU/SVvE8vwTMvaaimUHosrpvoP1oz6dgLGrIL2kp3 +f0PooMlGe9cQ/sYPmRl/R4gp9EvcUU1DX/54HOkj+vXbKd5YRfJZpuJTMYCw +ZEPpP+tKGgZaaSxI/kHms+stt0UVNHxUPUfN+ydCUlLfS4PnhE8Ma02LYbKm +atzbp1lOwy2a+5Yr/EEI7MXJqmWkvyqxYa9HEN5PX1w3/hkNc/9WvL89SvRS +rFD4q4SGL5U0th8dI/3omp3XXUziWUcM2shI4V7OVWwtoqFc5bg8arwUZrFW +f6+X0lCAN898kpOC8fpFi8uRhlWW2048UZDC0T17U0VAw2Zn8+izE6Ww1x/U +CiQ0XGOyROisJAXZJIf8O2IaLn7npTRrshRmDMu4p4hoqBsEJ34oS8Ek/53x +FSENRUZrx5eqSGH9x2rqnICGBYoyD69PlYJd4VsqiE9DxTl9R70oKWTZ/jD2 +49Gw4yFrhwVDCmHF6u4eXBref3Bqz0SWFDgua/K3cWjYbad55p2aFEp1A9Q2 +smmYnzRW9EBdCo07r6fYPKXhr2L9mSGa5N74obnlE8Kn5hsZG7SlMPFZYY9J +IQ2txpyW6kyXwrOtmaJZBTQ84bxzqG+GFF7SDt9Vz6dh3kdOdZGuFFJNNB+o +PqbhSItnSYKeFGw+pJcpPKKhvavvOy99KcTuGfj3N4+GroerJ1saSqG9Q9Vx +MJeGwdaXdk8ykoLzox+Crw8I//pza5rnSuHS0I0VH3II36/N25VvIoXO3z+a +39wn/LZTVzo7Xwq7RuQTq+/RMMrY//WWBVKIWVq6v+QuDcd5moLBQik8HJ3r +LLxDw/rJ/5WNLJLC7QsW2wpvEzxWKPXWWEihX7P1eM4tGlpO0zfLtpRC4UTt +x5nZNNwvECceWyqFnGu945KyiL/Y1qrZLZPCIsX1vlcyybn2P77mCpIvx7j/ +QgYNTc8Hn+xbKYWbX+OuhKUTfp5S21qySgoOg35rj5NFdfrr5U5Jq6Vgrlek +5neThtvv9fv6rpFCZd258V6pJB/dhXdXrpOC2uaCCbtTaCh2VvxHt5dC0U9r +va3JNJzmdfTo1/VSmKRpunNjEg2dj59UlGyQwgv1oLw1N2jof1dNfHWTFM5s +pDNXJBI9Utuu7N8shXn00SSL6zRMem0ZbuUshVMVxovmJxC81KVXpm6RQnpt +ZpfBNRoa/eoTf94qhcMxjvwZV2mokFilJNomBZcdFlnq8TScNNn1eLwb4d/d +TdlUHA1Dw6+N279TCm1110STrxB9q57PsdothdV2/77Lx9JwaqtJAG0v0Udg +lNXYJeLHExNcv+yTQodwXvZwDA1jRNydEg8pOMV1Tx+IJvNELi08wVMKH3dz +ed1RNCyasrbYZ78UUm5cPtBxkYYvxnizrA9IYUqet1lrJA3L+oZusw5KwV3F +hvnuAokvL7O615fgbc6i1Z8nfrq/WabUjzx/o3V29TnCb/3YltTDpP6cRJey +s2QenWI2Hjkihe+fzVOlZ2j4zzfoh91RwqcKwR9hBA2t5wuMZxyXwpKXmoGc +cBL/c9P54RNSuHzcVa7gNA2XPWj7+yJICj1Wno9yw4ie0muu3guWQsDtlQF3 +Q2k4offO2tOhpH/z2h2yQsj8fOSj4XpaCpSHvfXNYNLPqdOnzIuQgnbJoY03 +ThE/NXyuM+GsFPQb1x29GkTDgzMOOLaek8KI8ZvCyydp+Hv6+EzuBSl026kq +RZ0g+a1LmRJ3UQqv+f1B544TPj42vekdTfgz6Zhs+DEa/o2sWmd9SQppVQm3 +go+SefzjEF09Vgp1set3nQj8H0dXHk/V+3UTUrj3nnMTIUpFkyKZShkrUxkq +KRQZioSEDA2klBAZEsmckoSkr5Lsx53vDUkSCaUUGZOMyfv83j/X5zrnPHvt +tdbez1/oSHWh7NxoQi0UfE1WCziD83G8cWFdYi0kHfWU8/OnI9+OtM0Fybje +FKaC92k60u4NCL14qxZkl+VsPeGH9avm8dn+di1o3Jj0cfPF+dDtd3xzei04 +XeJWOfvQUarMbQmJDOyHZLEVTqfoqPdfx5tvd3E+ujzNPORNRyaVpk9rsjB/ +UewtdifpSM7tw7O0nFqIztfttvXC+47WzQ9n8nA/HcQeWnnSEccoaOnee7Xw +ao9qtOUJnHel10PW3K+FDsW8cLPjdGRY3DghVFgLG866JezyoKP8A3tTPz3E +9U2drDR2x3psnn+g8lEtMG2fThi4YX9ZjqknPa6F82t1bHa40lFi5+qNPqW1 +YLjuF9p2jI6EX942M3tSC3/nfTLXdaGjvhnry6ueYn6Pjv7UcsZ53GbT8a+i +Fs6ObLq35SgdZTtmHvz4Xy2c8ooL2nwE5zdbd/jZc+zPc6LOak74/aoqDxKr +cL3tKS4bHfE8feV50ae6Fq4ZaIVtcMB5miocZF5TC21HvjxadxjPi59TMcqo +FlKGk/+sOURHc61WSIhRC59LTO1V7LF/rosu6WTWgoP9ROPqg9g/CkrXq9i1 +sOR+pusqOzpS5N5bdpuL/XNYS3LlATqKKUh+E8DHft38on7FfjoS7x7JtXld +C44jqx4s30dHmnmQvLEen8/+dJqiLdYLIVwg/gb7VTU9V8EGzyermvc/GmuB +ppXOWGaN98MbY8rsJjx/dLxn5K3oqOBX4a28Zuz/2UV75PfSkU1G5+qIllqQ +sjldIbeHjqjVae+OtNZC2kyappwlHamf/pir9xHnX93FOlkLOhr8eT9B9hP2 +R9Ky87Lm+HsHhDInOmrBVN7HRNaMjgzqB/jvu2qheKv3SllTOqJFn5Ku+ILz +G0hZ2d10dOXe5cikrzhfIx3XyO7C37PSovr31MKCgyZ7ZXfi/hVfeWH9oxbs +6KwYWRM62vQ78Mqmvlq4ntDaJWuM92OjRX6U/lrwenBuj5wRHfk82xk6MFAL +6lqFjXKGOG9T1ue/HsJ6WXL4lLwBHa0ffzVQNFILh1WuL1+mT0d7JoUOxozi +75tu+blsBx05d091eo3VwsihfXUK23Ge8QuvmY/XAn/HF7aiHtZvB2mzbrIW +vNs+tizfRkcau3V1F01jvoltcyu24n1Sbblh30wtlAim9Ffq0hGTxT/Bn62F +/CGp1FU6eH9S1yt9OFcLIseviihrY/3fPSsdI8SAUHnzGBUtOnLXCM88KcwA +8Rn7NWs16ahB5tBOS1EGqIw+bl+3BfNzWURCVYwBWcO7HmzQwPtx5rVfkosY +cP+rXMzGzXR04+q3iUFxBjTDmitq6nT0IEhR8Y0kA5SCT9zarEZHZ5N13cuo +DPg62/xqyyY6uiysLUgkGNBi7j2rtZGO7k3J2gTQGbB4n/IBXVU6ksz58eeA +FAOkaP9qt22go3blvJfa0gx4Ejaye8d6OnJ5vCd36VIGrLo50W2wjo6cTv28 +Py3LgH+W1FTjtbj+2It1n+QZsLVYzWXXGjp6ryNJBwV8nrKDRmYqdBSdlRqc +u5wBxw9d3GqpjPfHnhWzl5UYQHuQa2a1Gue/SUne8VUMuJr90td2FR3Ru4w8 +zZUZcH0399GBlXT0tLdzr+oaBmjnwZy9Eh1pXYveT1vHgPlV2ScdV2C/DRuF +jq5nQHWq68DR5Tjfd1HhvSoDbhoLR7kq0lEQZ2T1i00MmOOd1zyugPMmbqDo +rjoDerQF017L6Mi/RcQ2QoMBAXe+f/CRx/sBd7uMuyYDNIXrX/vL0VFL/O1Z +U20GLIoMaQmSpSNpx6UiqroMUF33bSJ0KR0puDLWE9sYsFZSQv2iDB1l8dP8 +x/QY0G3QezFSGvezNqu1dQcDEj+e/XZ1Cc7zwA/OrwwYwPz9xCVWCs932d1i +eUYMcLiX8jthMR1ROgcbrpowIGaBXGYKHd9net/+572LAe1aO46kk3SUcfpP +jY0pA9ZYT23JIujI+L7jDy1zBmScNlfKp+H7V4WYurwlA168WKtcSMX7Betv +2ry9DNhrmWTwmEJHXUv0V363wno0vXS6XJKOfnEaXr+2YUDZ25HKSgnsvyXl +t57sw/2nflryShzP95X94bcPMCBhtX4MYxHOu00XYi4cZEDhNvoS3kJ8Hzzp +/cztEAOKQvf/Vy+G96mR5/MsHHC9ErM+7xbgeT7f65S6EwMeyotvbxPF953G +i5PSRxkQ3RK0okuEjtLDZ+/NOmM9nNST7xHG+/7+Xv9vxxjgJ3pQtX8+Ha30 +MXZ+7cYA5Ta0/5cQ3k8X0nzKPRgwKR2cODEP+9fMNiP9BAOmfgX0zM6R6Ki3 +5M8ILwZcyiq3FsHYLNPksKc3A7bv29Qo/o9E0cR0r7UPA+g7u4+TsyS690cj +XcePAYbF/MVL/5IoIOKX13J/BpiyuloUZ0hk/VXXUSyAAUOc5WXK0yR6Yibp +MxzIAPORK9mqUyQ6OOSb/eEsAx5dEC/YMkkix1m3UQhhwLPHj9C2CRLZPR7y +KAxjgBVyGzUaJ9G6zfTpm+cZcHd84zbzPyT6/vRtSehFfJ5k0TSbMRLdP61+ +xTUC+6WtR+LQbxJ13NocZhmJ+acKbjmPkujSodabmlcYUBfyWOvELxJJDKzh +KVzF73OO7fcdIdG5yFUrxKIZwJNwrjw7jM+3pyFt5DoD9nFXpV8cIpFKzAaN +j7HYbx3NN68OkojvpD/AvMGAkTs+WfEDJGoREuc+TmDAob19tan9JLIsSmTc +TmRAo4nJTNZPEukktHZeSmZAfsNZiwd9JKJ3fJE/dYsBxwzCS0t7SbTkfVno +wdsM+NBrv/75D8znHbNJw3Rc3/K/Veg7iXJ8i29vyGCAk86JY/wefJ6ILnvp +TMx/dIpC0zcSuYj36Apl4/N5hQ9//EoipIW2DeQwQENz1Yev3fi8uwKPfMhj +wDXjc80DX0jkcFwkl3GPAaIjkT/+fCbR9YYA0ZL7DHBL1yLmuvDv5eyY9ELs +j7vxVgsxrraYVY8qYkDnoet5ZCeJ6nkKk6eLGZC2SUlSvoNEnzzXf3YqwfoL +t41d/YlE5Q4qfWZlDNhdsmTFpnYSWbVJLdYqZ4DOci+BzkfcP5mpI0oVDEjR +MY0xaiNRrFULn/IfAwaOPHK2bCXRitLSg9OVOK+mb1rYfSBRXEC0yI8XDHgX ++NvCuYVEH9+7vXv3EvtFt8HF6z2J/gntYqJX2E9ly+ICmkl01lCt+THgfDP/ +WHfhHYl8ypUXZNQyINd//qroJhI15G84HM1kgMftm/FJb0lUu21nfRCbAZYb +ImiZjSSKf3nG1Y3LAEFWXcGDNyQyPly11JbPgHh3f9vyBhJxLRVH9F8z8L7k +RX9VTyIRXm6vaj0Dblc+6eXWkeiLuNl8+Te4XvWdzU2vSeS6W2rHorcMaHi7 +7H2HgETPKhelTzQxQGKJTn8vn0SmKRukvzdj/QXES4/xSDQmc6GiuYUBMl6K +9nNcEu0NEgpktjJAy7+7WBzjDYMvD5R/xN9b1CIjzSHR+NPSg7mfGNBRNnZb +iU2ior9doTc7sZ6+b924kUWi11SbmvDPDIhSzf2gyyQRY4nwar9uBiwVUbm9 +k0GiX9Z/i45+Y8DwCNPbppZEzyf191t9Z8Ct4LN2TohEqnsblun3MoClsPWA +J5BI8dJjsU0/GeB+UswzsIZEBa+7FisO4Pzt+XQz4hX+/YSnEXWIASFLnzXE +VZNINN3i5r9hBty5EauU/hL7OeX6vOFf+O8bHa8XVGE9XV2b1PUb8+GrtKD8 +BYkGWOt3Nf5hAHXsw+2a5yRKOJ0sWzvBgMe/wvRfV5Lo6QcPWvkUnicTotMf +/iNR7poClfwZnG+3AgXfnmE95RxwTpnF+enCKP1VQSJOZPCLqDk8z37+fPjv +KYl8RUmtYCEmfOX3PZfA2PbY6iZPYSZ4JFd9WlqO8+R9xU0HUSZgwS9ReUKi +D6ns03vEmGCzE7luKcP96Tl8Rn8REzKPDLAMS3Eezg+6pS7BhIPsVj2rEnze +dXIfV1KYYC1ziev4mETZcXsMl9CYED7y+YRXMYlSTtN4YiQTFgz/Xhb8iER+ +tOP+03QmqJQ/+36lCOv/0f7tg1JMsPioxE56SKIXwe1rP0szYXqh5vOcQhLZ +V8zTebeUCf2ff0DJAxLtzOEc58gxYVB066fq+yQKPq/+/MUyJowvW0V5XUCi +jeFGGx4rMmFlXe6+tnskUur9CzkrmPCwqqz4Rz6Jlo55nE1ZyYSfNy3lx/NI +JPs13Cp6NeZj0idLBGPd0b1m51WYUJGxWHtxLon0XN65nV7LhLsqut1KOSTy +PrE41309E2Z2fchTzybRX3Ny3mFVJjQ9GAg2yCJR1q7GiL2bmGA8E3DMKhPj +1P2rjNWZcG3E0/nIXZw/57N+aGswQWgr1/9UBomW6VTUb9BkwrprMWnn7uDz +Cae9X6GNvxdf8i4mnURSK/fOLdFlAk1EbdWdNKyHphYLiW1MsM8Uu/bwNvbz +ft3n87Yz4TipOfc8Feu9J9B0fAcTzJeWxfJukaiRmzDZb8CE9d7Bqq0puF+a +ca+/GOF+saK+/EjGeR7sgz6YMGFJV0vRRBKJmlnaH+p3MeFf8PFoMYwnnftp +LFMmZOxRD5NJxO+7EX+yyhzrQV49Ys1NnBfRq36UWTLhzb1jd3QSSFRz63HU +g71MoD9EPNN4EnkMqu3Ossbn+2kmcegG7l/X47W3bJnQsWH8mGccngcZ6zfG +7WfC/c2supBYEjHPPNx/2Y4JorUlltdjMB9ZG++G2WO95TzpTL+O+bepWnDm +MBOot3lRRdFYP4P7kr0cmfCfz7Dhy2sk+pY6bXTsCBOGB5WIuquY7/wK+mFn +Jpzpdvz9KYpE0yZXRG2PMUFMJv3n4BUS5XFOyZm7MSHl0Ps//y7j/p/ytzXy +wHwHSS4hMJYIvFW09QQTLultM1OKxO+T+6Ss4cUEyfMOCRqXsD4emzHXezPh +i5jXT5MIEr316Ixc5cME0yfHDtuF430gOcd9mR8T0i0NPx2/iPnzSfJc4s8E +k0fzAkIukIi9ozKeGsCE2oIshZjzJAo1oH8QC8J8kNKfMs7hefbivpFQMBNu +cVxLHoeRSGs0uGE6hAn6mREpEIr9vOH6hbEwJpz0845/G0KiiaIOq6HzWN8y +y+9+DSaRdEWIce9FJhScuf3qz1kSqUUdOdQdwYQEp8ZRMYz3nkq4+SmSCY+f +svXkgnC+5JD9LVdw/+wD0lQDSXTB58eJt1eZ0KXyfqFBAIl6l0uJ1UUzYafI +jzjbMyTSHLvD48Qw4fLbe6vd/Um0aGN4cW0czht/8cazpzGfFFZ5dTyuj784 +4bofPt/nU+2VNzGfNdXH7vqSaGbgvMrTJCakaguZlfrgfgROJJek4N9lO4wY +p0iUWtu1qiiVCa+t91i/9ybRLH1rS0EaEySYFqd7T+L6nyx4lHsH83+k+d6M +F4mKP1vmZd7F+SHRM0DFOKBfojo9iwmUqhCzlZ4kCqRaTN7KYUK7XWyl1gms +r7uL7JPymLCpYek28+Mkqvy4tzX+HhPa6AqNTh44z0TkzsfeZ0KVVEroaXfc +r1P+xtGFTKhkh2pfcSNRiJ39hqgiJrxaKliQ5kqih38btCOLmcAQuvTz0TE8 +r2va3cNLmMAKuvMFXHDecyKenS9jAvckfeCdM+Y7rHZtWDkTWj58W9R7FNdP +y60JrsB5+Yyi9/cI9l/9yuCg/5jgOxMdTmAcKmqxL+A5EzYW7Puw2gnzie9r +/lU4vx4fN97qSKLRwVun/apx/hC1aK8DiQ5tqX3qU8OEX4Ij+1wPY74XZcue +Qky41647cfYQifIZGnknGUxIMrIqjbXH+s4M3+vFYsLE3/SwnIM4D/qj5T05 +TCBpSw8/s8N/P2wreYLHBMUwloXgAPbTZMfy4wImnDDKsO7aT6IhK/WDHnWY +T6+0E2P7SFSisafUvQHPl/HKpEUYt09obnBvZILbyJ9GRVsSJX4Z5Ls1McHz +iNVKTRs8vw3DYt2ambB096ur5tZ4nh7u8HNrwXw+1f931IpElGC5YLdWnM9l +DdGBe/E+/10z1+0jEwzNvFRi9mA+h9WG3D4xofSq+IdsSxI9aKcede9kwr7Q +kjvPLLAfZppH3D8zIXCTrf9rcxLdTIi679HNBNdnQw5fzEj0aGhV+PFvTHBX +vGw/YUqi0w5Pw058x/0LEz9BwXiXkk66Zy/u36eI66t2k2j7zfKPXj/x9+y7 +a7buwnodW2vgPYDrnVsvZrMT53VSJufUEBM0fh50PW5Corrqxf6+I0ww2uja +eN4Y50NVvP7pUSYofzazTTbC+u4k1c6M4XyRF+t5aEiir745xoHjTFg9kRaL +DPD+W7Uj9Owk9kv89M4P+iS6Sx1sCplmQuTfNeTQDhKdfPLE+txfJogfURgR +wdhrPH74wj/8vfqWL/Lb8b67Nro8Yh4L9Lxtvmvo4XoyctIuz2fBvINXZ823 +4XmS0J57VYQFtx8Hrjm2lUS7j2xvuL6ABdNJMu4huiRy28NRuLGQBSvWej9N +0MG46PzNm+IsGE/wXvJAG+uF66qSIskClyGpmBotEvWMnOu6TWWBvqcb2aKJ ++xfy+mUGgX9ftf/R4BYSdeUceJlNZ8Gt3Z/tRTFmMOQ686VYkDG1QEZBg0Qm +qkqrC6VZsMGD2au5Gc/zdd43ipeyYKycrN+jTqLPkn9ln8ixII0yxHRXw/cH +uQ/8Z8tYUJpzoP78JhIdLp27W6XIAn6aUV/KRhLJE6HJsIIFHqueyDxWxfeH +pN2PWStZ8Nc3+xB7A86TK94/+atZMFW0sLhjPb6/aPVbvFFhwXOxPnJ8Hd4/ +x3kNzWtZEPff9hgqxg+pC89+XM+Cqr45qTVr8T7x6ZHhZ1UWhDZvKjdYg/X5 +oHLT900s+F3EPnZIBe9/NZsMB9RZsCsPrfJXxnl0USpoVIMF50fkJ6+vxvvS +mlP1k5qY/7p3nXmr8L5F2Wo+p82CaN9vH16uxP2/cbFXdCsL1GkWX5uVcJ6P +GDyS1MN89s4TGlqB8/haROLiHSz4pCm6WQxj8wKTDDkDFtip7w9YsZxE85Pj +eEpGLDgl84O7VRHvu0+Oyq4zYcGzNa827Vcg0Z69r26o72JBSfbbB6eW/e9+ +8khZ15QF3JoVW67Kkyhde+MXA3MWOLLvN2bL4fvG+l3I1JIFlWPOES9kSRT5 +dZxhvZcF0glmxu+W4vpe7Oqzt2bB3Q9O0oMyeB8e1tziYsuCI/T0vwv+h39y +czz3s8DhytTYCmkS2fQJafjbseByQNjctiWYT9vv30PtWfBIZekyOyl8f/AP +gcjDLMjsabDwW0yizuSXL2MdWbBw6k7sdTqJrsk+bU85woJrRSGd+SSez1au +y7OcWVCw092khiCR8pW6qw+OseAN3aGqlYbzQvoP+cSNBSeOHTT5TcX38X1d +qMoD6+eCXScF4+zY+GTWCRa0Pdsfu5ZCIqFVC2IavFggdHivhYkkvv84md9r +9WaBSqW+/FEJEhncduzu9mGBjtLqfyHi2L8rDXcO+rFAvG9qNHkRnreHpvkT +/iywP1Y9VbKQRKWJNwLmB7KA13GCLhDD+SQ7a0g5y4Le8sntPQtIVGixR2Np +CAvWa3uHzsP4aMhF01VhLOh/9ZIrL4r1PZsasek8C07mfl+jI0IiMdX0jq0X +WdCs25u+TxjfDxyjj+6KYIFWR7WC73y8n7SfELaNZEFkr8vT60LYP1S9Oqcr +WG/PGh0K5pEoY7foC8+rLNDIWShVO0ege+/4/MBoFkyKiHZ9+kegl0vi/kXE +sCDIiPFycpZAoo7W9jfiWCBVsb1ICmPerHRzejwL1lWfLlL/S6A/zt8D799k +Qd8Lh+o9MwQS4qCtT5NY4Eud6PKcJlB96sOVKAXrR954SdQUgeTX3VOrT2VB +7k5dp9xJApG8py4f01gwPPC+4tUEgYzb25/9uMMCs1CZ5R/HCdRYvFztz10W +aFpP3Rn/Q6DDOZF187NZIPs+eO1ijA9JLownclmw80wCV22MQDlGTwMU81nw +OX57yJ7fBIrKvXZBtQD7PfncNq9RAnmERT/a9oAF4f1m1Ku/CBSg+2LW7CEL +DObl/s4bIVCmkkKg/SMW/NgR8ROGCVSRXkk9/pgFouTX0U9D+O8nYusDS1mw +4AdbcnqQQG3xmWWXn2A9bFLWlcE4gDVcmfSUBRy72UDNAQJZ9Ed9zX2G86Pe +gmnbT6BJF7ctTypZMLtAfJXfTwL5RMQ+QC+wXgJ0UuL6CDSWIWTY+BL7N+qN +dFEvgY5I8/92vWIBlDUUcX8Q6Mvuno5hYEGZ12abnu8Ear9x+OtcLQvClMcW +CGOcqr+OQrBYoOuw+M2KHgJdeGbvuILDgq6LsYX63wi00q63Xp3HAmOJw8lO +Xwl0y7/T3UjAAmpISEJYN4F+n9yxYl8dC+r0v99N+0Ig+5SF89waMJ9tWS// ++4z7c8BEJLAR5yMrq7+5i0D7/42oRjWx4GdYt+rvTqyXGamw1GYWDIUeDycx +vppR3v+gBfvPYM1XtQ4CBRvVX3rRyoI5c6VDVp9wfaae219/ZMFWWdvOU+0E +IkSvyXd8YsGZjU+DYj8SyPqb6vLhTpx3YjsVi9oIJKN9xFToC87L9fNaea0E +2uUin7L4K86rpd/yfnwgUPnLk6IqPTif7AYuLsB4Ks8qQ/cHC/Z4LDml3EKg +F+cFdpZ9LPBrcDy58z3WY+4XzaP9LGBLV4e6NRPoivdtXf9BFnixNe5EviOQ +u+Gwy5VhFli5Vr/ObSJQScjA49u/sN7O2lFr3xLI6nzS8ke/sV5ipo99biTQ +UMa3ZzV/WFC+vpAz94ZAdWbfTzdNYD4+O2xfjvFh3h2b71MsQFtpTP0GAqGb +onbTM3jeMmodjtYTqHh83UXqP5xHYn7CF+sIlO8iUbdyHhvi0xe/ynxNoMEV +j/V15rPh2YLia68EBHJ7QG+xFGFDWpemWwcf87nLIMllARsOPCuynuURqOW4 +dkDQQjZ0yIrvVcBYyGMmJEacDX+yrR13cAmkmZ2Yny3JBp324LAjHALtDP87 +WkFlA8UlvOgCG/vPweCEgGDDU6ZrfyaLQNvuHpn3mc6GHXcVd9QwCRSZ7VDz +R4oNsRGl2Z0MAo2irbkSMmywXUhfPFdLIL7nv0IlWTZI1RnfXo6x9Z9H73Xk +2aDqoa9qiHA9gl1rrBTYUOMj1OQCBDK3epPpvpwNnIjo6Es1BIL3llvPKbFB +Ylujdd4rAjXV10wlrmKDivb7NcxqAt2+vaGrUJkNl+gpxLeXBFpz41YfrMH1 ++ywSF8W4SX6e7Id1bCjs2SylUoX9nefrM7SBDfvkxdVMXxDoYPi376Kb2DBb +Eu/g+Rzzr+gRpaDOBlnj6tTrlQQybPltpqXBhsGzCV+L/sN+kUvZvFeTDddH +RIzqnhHIxsTcwEObDfX7ZEsHKwgk90T6zAVdNrga8zfSMCbfzPFvbWMD3518 +pf6UQCYiC01LtrNhl8uQ075yzO9jjT6OPhsG2p0ogU8ItG/L5bIuQzZkhx9u +uFVGoObxv3cnjdmwaOxzdmUpgR455JeQu9hQ0D18qa2EQHmvQ3vWm7Kh8k9k +4MxjAvXkXzbaaY75b00NVsC4wYbFOGLJhr3aa2MNinE+6hl4Be9lg131ltJj +j7BfX05oJlqz4YPMf18vFxFoxviX8iNbNtAnHq29/5BAsmpq29n7sR4W0S/y +CgnE6qsI7rJjQ+rst68/HxBo66eo1il7NphFKTlQMC7zLDgq5YD5sWV9VruP +9TgoLa7mxIYrUoLgfQXYH10dH82PskH9ktryoHv4+buzje4ubNhj+avldj7O +h9jQgXBXNjivkcyuyiNQwlK7jRnubHguOB/ckUugqpLk5P+OsyGg38BlHsbS +hbrLmzzZ4G247/CqHAKN+5o2Dp5kg/mlMtfd2QR6HcC8v8iHDeeO25/3yiKQ +v1RZnrIfG7QemtyPy8R8VhEsI382BAmf+Vx6l0CMD73iRwPY8E+ta/27DAKt +4OgFhwWx4dDPa1Hjdwh0fFZy0e1gNjQNeY7IYpzW6oyehrIhYvqi9450Aq0S +6GQ2nsP+eM0Zd0nDetuYlj14gQ1Fy3ckXbmNnw+7whWPYMP6ys4dhakEiqHN +W7I2kg09toVTr2/helyp0buuYD2VpbKHU3CevS1f4XaVDUm37ucuxvjA65HO +iGg2PGQ039BJJpBS+WtGVgwbbGYUYhyTCPTg9+666jjsB+Hw1PBE7OdFx2c+ +xrNhLnusPP8mgZ7uUrWZuon5Tj3XxU3A80EpUyCTzIaKYmLZQDz+3vzqk9q3 +2LC9qMyTwLjCOk7d7jYbyg8eYmveINDCcHJZYDob8sJENA7HEUhn3GpjcgYb +XLqelFyIxXqUNXMvz2TDlNURvbwYAj13mVf7NhvrPUW4lXMd86N6zuRXLhua +w3Kv9EcTyPbPy37iHua7YYsRgfGgFOeF+n02tB6ppGhdI9B80czHNoVs0P6z +9ufhqwSK2LyTe7oI55FbVMvFKALd+VuzILGYDbkh/Kb8K/j7rcSpJyVskBcZ +7eRdJpC27o6Jt2VsGG2ZmR6MJFBNpGnhaDkbXjG+qizGeNfqLeGLn7Hhbfp9 +V91LBPK7IXxes5IN+mpGJUciCCSytjrL7gX2x8GyRZfDCXTC1eXH2Zds2Ngz +Elh4ET//6Ldd2iucf6Vzw/UXCGTnE/rzBeB6YtvCfp8nkPqyP/faa9lgbXtu +iSzG1+VORs0y2bDgwxfQP0egJb3tscs5bHD7syjMPYxAyX17nxvx2OAZNWIS +E4rz4TpT3F2A+XJJUigLwfNql+Hlq3VsWO46sKAlmEBxIVylhw1sCHefmZs5 +SyCNLKfvrxvZ8MOkeuFKjMvXC78damKDcMcGJbMgzEdozRfyPe4vxdTcNxDv +C2JJS7U+4PwoF7+UEoD1aXkp6FAbzs/iAF7VGTx/8hMmz7Wzobjt4vIv/gRy +TEa52R04z+XXXRXDeGOYjD+ziw2Ztn5/N54m0P3m28d/fMF54WwVecAP1yOx +K1LiGxt+KjNlzvkSKDF5JUvtOxtOXxdU5/rg+di+RfVALxuSfY75804RiHLo +fFXIT8xP5RWtYW+sv7NzvpkDbFCz3LxIGuMDD5E5YwjnB+E+sP0kgQrcmRY/ +RtjwbUC2y80Lz2O6xBnJ32xo51l/ifEkkGBTBmz+g/Mkbv7vJycwfyuCt9hP +sCFwhZpU23E8z47n1Z+fwn72bdo5D2P6qRXxeTP4vMf6rqzxINDa3LFA3iz2 +57fTzVbuBFpwbmXk0BzW/1ePLWfdsB79Hj+Tms+B/yzYuZmueN8cSaPpiXDg +lFjccvYxrPeA3oRjCzjAF6ssHnAhENc1Wzt6IQeubjMxl8K4a1utcKk4B2gJ +G//oOeP6j9tOvJfkQMyfM2VuR3H/j+0nZ6kcaDhKnIs9gvWXL7BdTXLAt3q+ +3VMnAp1LrXpuuZgDhfNM9dsdCcR5qrI7YAkHwhQ/agtj/NGbPn1HBr9v0Qv9 +DQ4EUtC91MyQ5YDhf5/t9h/G8yvp7Puf8hwolrU6f+4Qnqef//ylK3Igbd2/ +J/n2eN8smG+pt4IDlz4Njr8+SKDLtjngtvJ/v8tZjtkRKMi+ySFuNQdgYUTJ +Moy/ad1d9kyFA7FnlintOoDz6ICQaOdaDp53A3k++wkUqCUqJbaBAz9fD2xJ +3UegSotH5uobOaBcJtdcY4v3acmJgsNqHDi8MODyDxucvwP9ay9v5kBy46gR +gfHeEzeairdwIF30Nm2rNYFCBzrzWrQ40HXPaeCYFYEkZr6mz9PF3y82bI3Z +SyAz8ZzK9ds4EChv+O7pHry/Xpf+e2A7B1b8su/4ZIn1O2ZxIlyfA9yNUeOi +GLfXGk49NOTAgSaWopoFgW6ennnSbMyBo58XHzxkTqDvPhcT53ZyYIOD391L +Zjjf9epvrzflwHPj5l9FpgSqNeln2Zlz4GGmwcHm3dg/9E9LL1ly4KBfCX92 +F4E2EPnJxXs5wK5W2LMGYx8w0Wq1xvzHxnTY7MT6u1k7K7wP66f714UwEzxP +F64YVDvAAVmezcZ7xri/qa7CTgc5cGbnvf56I3xfeBlnGH2IAz3Ofc8nDAn0 +7kfuvQoHDtxYpXBLCWOZrAK1L04c0EnfHmFpgN93IOMLxRmf5/XOsCB9nEfX +rlZtO4b1x9a4nL2DQIUlJ6tOuHFAK0k4g7+dQL7Gll9SPDhgbFBR+1sPn+/1 +BjXGCQ54tBlNKGB88ynt3rAXB/x8H+qZbcPz5ey0gcIpDnyX7I0/s5VAP+8M +z7f05cAEc3rkri6BdiePDoSc5sCF/M5jXB28X31Z8O/+GQ7Mvrz55Zc2zvtp +Ne33gRwoUqSeXoZxlKv/LeFgDhzp2E8x1SLQ2eQGeY1QDmSJO7/w18T9Frbk +u5zD+IVq4N0teF/a9DMz4QIH9P692MHVwPva7dL0mnAOTA4IS49uxnn0Mqt6 +8BIHFmaIzS7DOIP2coHCFQ6YKDJGTdWx3hUWhuy5yoGNN9Qnzqhh/Ry8TpyP +5sDvf9biWZuwHvWNGx/F4P7EKqjyN+L92Va7sj2OAzKWqU5jqgTaI+7Flkjg +gIJ9ZcZyjF/0dkzrJXLAkn+hz2IDzlufNPtTyRxQrP6+6+x6vF9J322/e4sD +zyyGy3LXEUjyyMDV+tscaL+Zsr5+LYGOcuMO/0vnwL+id+WTawjErI/Yr3aX +A7r/PTRfjfGuideBLln4/Y2Lh61VcN6X+b9KzOHAHRla/jllfL7EoI3MPNz/ +R2keD1YT6Bm1nTV2jwPNRY+1360i0OecgssqD3C+aFtKz63E+8SbVq9DD7Ef +T/uKbMBYSiEkOOYRBy6HSAnZKxHIaO5qcfVjDmie2SZ5eQWBkuYWLhouxXxF +dCiXLsf6yhC6oVTOATHO9N52RdxPh0DdAxUcmOeZcEUMY+Zjd4lr/3FgJiaN +v0WBQDTlFtGq5xy4cmCxgssyAr3fVrdmsAr74+ffi3HyBBr2s/Bf8YoDiYH7 +hp/L4X3W/ED3fuCAsyzp2yNLIHGLwbBrtRwwF9KeITEWDC/Ve8nkAMWuJlV/ +Kd7Pqj6uHGZjfes/MPSWwfv+Zm2NVTzs7++Dk7el8fc/bPKyF/yvvgRgLSGQ +hyqPG1vHgaHl11N+SRFIuUTUCjVwIGJha7Aixp5DP2fGGjlQfzTUy3Ix1r/z +ubfr3mE92Zz0CqHj/f5mVcPR9xyQFC8MLiBxvswr/p38gQM2L9VSmgg8z3T2 +G/LbODCc9K9mjobz9+HTin/tHHiAyElVjIt+NdpodnLgQ+BxAwcq5jeyROrk +Zw6Ef55KuUbB+9IP63k53diPWvzJCkn8/vzni1u+ccC14O3JbgmsF4MBK8kf +HGC6Ef00jKd0h54Y93HgR35k6A5xArGXMLaH9nNgPF1Z2nsRnocu3sOlgxx4 +EjaO0hbi+1zWIP/7MM77c6OhHDECxVrvqVMY5YBXk7TR2AICPfwXM35gjAPU +/1ykV2Jcrf7YLG6cA0+P1E9Zi+L8Pv4fgznJgR1CDv0XRHAebi5yn5nmgFqb +cP8jYQKtWxi3acsszkdF3mTbfLwfhjuv8J7jgLfEPamFGBstXbstX4gLLW0p ++tpCBDq0v+9cuzAXeli3z7rPI9A0637P4gVc8CQOhCrP0VDVgFvwnoVcmIZE +pchZGmrft3pzlDgX1OhfezpnaCg2qp9eI8mFwUvGHL1pGno5/9WyCSoXjsQW +MdImaajI+q6VOsmFj4+WtP8Zp6HWubhCr8VcmD12kbb/Dw2FpSatz1/ChayN +Xc5lv2loeVZZ8ycZLjASNOooozR0I/PnfWk5LlSIBxzwHqGhGLmduTbLuDCk +lDHJG6KhoXuIGaPIhTUOBc9VBmkoh+VGZa/gguXWuJQr/TR0f0r90txKLlze +bRHX3UdDSm0blm1T5sI68Y/Zhr00lP3dvitwDRfeULTfZH2noS9PnwtK13HB +8NMhudlvNPQIbDt/buDCBaEdlxy/4u9lqsipbOLCM/EO4aovNHSoadvFY+pc +cLi6JW/pZxqq+JkonqnBhQUiek7BnTSU6acGrZpcSJIa2tzyiYb4v6XvSulw +Yc7cdJVWOw2l/LHMtdnKhTgdI/WUNvw90aaGOD0uPPRvOfT7Aw2NVhav5u/A +/N8QytzXQkOP47vyRA25YLPq1d8nzTTkIOdrbmzMhXK+cAj5joZSvzouDd+J +zyPXSPV/S0NGYcW06t1cqCpdVtv4hoY6XdzUpsy44KH8LV69gYbOa14J1rbE +fCxVCrlZR0MnQui9AXu5IK7ScH5EgPl/Tl56Ys0F1aGeuzZ8GhK/EmU8bMuF +34RbaxkX68HPX3XjAS70qxmqkRwaujPZqu99kAtvB4Nz/Vk0lPwCQh8e4sKN +IRG1JgYN0XTWdfxw4ILuhy8fNGppqEZC1kvlCBfkrBbdTQYamn6RpODhjOuf +Djo39oqGjrakT+cf40J01MqzdtU0ZDGwed5XNy5EpC2K+6+KhtYkHt208jgX +UjqVX8m8oKFvZquijnly4ZvwmUWhlTT05OFlkdyTXBA86z398RkNle68XPz5 +FBeYeVd+61XQUGWu8oUVflwICTNMzCynoVuHfc+6+HPh1aC0xVwZDT2fcEnL +CeBCasl8xWOlNPRMXOjr5yDM1+l/kszHNHRdad9BpRAu8L+LyCgX01BAk/3o +sTAu/OES268V0dCloiWVeedxvwTLzvcV0tBOvYR7Xy9y4XHBqg+WD2jIfgmv +avUlrAf6ir0lBTRUzWdOeVzmgnudZCdxj4acvkUdexDFBZUb364H5NHQigX0 +0d5rXCgh82xacmiovNj70foYXL+MocbWbBpaGJx641QcFxKPvNh0N5OGrk7d +SiuJ50JM/sLdcxm4H8996kZuciGyaG2I6x0aOnBAad2WZC4Uakqx2Wk0dM6+ +oiToFhf2iHJU192mofVO6488v82Fgc+6pXG3aEjyx1XNmXQuLLtxYs9IMg3t +zqjX1L/LhYzGPSIHkmhog+j8o5eyuLAv4GtL5U0aaitfU8bK4cJOfRWWfAL2 +v5HxhoX52O8ztLrwGzQkb2T3xrIA9/tsxtDXWBqS2Ol+N+EBFz6cY24wi8H+ +7D6T9O4hFypbIy8XR9OQ0OMrT/7/Xzs5Nv8hrtHQ/h2ZU44lXLj6vjwyKArX +L49O5pRxYbu07PqPl2lIdGBEpKecC1ojQgP6kTSkqrOFt+4Z9ou2Jy8/gobC +c2IqfCu5IFSzGxaG05D0k2n+0xdcyHRMa/S5QEOMf1cXTr3kgsJ3+79N52go +f/2W0/o1XNDQijDWDaMhNeZ8oSuIC0+UJPMzQ2johdNUFZ/BhfiocQXhYBp6 +FS+XRWNzoV1v21PPIBqKGPUqsuNyoWZFk2tDAA0NK/Z3ZfCx/8kXqppnaOju +vVz97tdcuDfQR9w5TUPaKomctQ04PxKdafP8aOjwplfBfo1cGP8stfa4Dw0t +cVy3778m7K9qEcc6bxr6ZdFmN9vMhU1i6ws1TtIQ83pj5M4P2I/3wmnpnjTU +VE5vi23jwpWweYlzx2lIyjn/0Lt2Lvj7PlA97kFDBeuvCsl3cuHTCb/uOjfc +zwc171w/Y/1Z7y/f4or9H2zzpqgb+4didfeOC87TTQZjo9+4YBHvkCPkTEPO +zvHGej+4cLw6oMbzCA3NFhpVXe7jwvsrKeNvHPH7Hzo51vVzIeh9pZmOAw19 +H+9WXjLEBf3M1oqsQ1gf61tlj47gfKj7tW2BPZ4vHw10Hoxi/+//99HHDvfn +ocLFkbH/5ddUyvv9NBSsHjS0dQLnv1aH5459NJQrZBF9eQrPp+CCgwU2OC8Y +2Zb1M3jefN5zlGJNQ+MLwnRl/nFhtVdDeNBePJ88P1kdm8eDPWLKLzsssR9j +BPGP5vNAu8KS2G1BQ1piZpN/RHhQ7rUjvMSMhkL9D8UaivGgcOUfMRlTGlIM +nDONXcQD6XafovBdNHTstuGmFgkeLLiZd7zXhIZ2JCzXV6LyIMcgfrutMZ6n +n7ODTxE8WNq3QbXKEM+TreyPlXQePI87q7XKgIb2bEo+IbyEBx83eB2K24Gx +G0XRWoYHg7x/KX/0aMjYR+ffHVke+J3Q6D+6jYZY/VILf8jzYFRizoGnS0Ob +Ix7qbVHkwbJq52+bdbC+OJNp4St4kHnR+lqGFg01Oy1YUbeSBzqOfBNRTRrS +/Pq+cakyD1gOPFk/DayvoZOPPNbwQOWa6aI2dRoy3MAvLV/HA5t+I7qJGg15 +q491zG3ggVlyuebjjTTUc3dYa+8mHijFpZyWUaWhT3SovKPOg+mv3exL62no +mtpxt14NHggXpWkOrMV5kdyrq63Fg4tDZdUH19DQ2xZz3Ss6PHjKUDlaq0xD +BkU3jjVt5cE/3T9LVVfTECW7smLFdh4w3WUGU1fSkL/j681++jwIdoj+KKRE +Q78v1LW+MuRBuprJl1PLaciyuOahpAkP/ps2FmpVoKGoiIJ7jrt44PkucpvJ +MjyvMq7wi0x5YNU0G1ciR0OFec5Lp80xX2TppKwsDaGt2xLN9/DgelHihSgZ +nNfTMprpVjxwqsqR/7WEhkxi/87rs+GB65EPTU5SNBSX2D+hu58HZ5+o5/Po +/9tHepdet+PBufcP4jRJ7Df/Cbc2ex4c6dNJyKHR0IJ0+bZ1DjyQon4qkqTS +kGfVoZAwJx6keSR0hUhi/YWVG70+yoNJ+t6NPeI0lHdBVWvZMR4YbCNSbBfh +/cdDsM/HjQeR85oX14jRkEdTwp0aDx58i00uXr8Azw/vCEnCkwfxwhZHb4vg +fnzMLjx2kgf3E0bXigjT0KkXv3yfnuKBx+FoSX8hGpoqCXUW9eOBUOyCRZ1z +VPTGRS/M3p8HYO2paPmPisTPboOHATzofle45/lfKlJLCtv0NwjrdSczWXmG +ilId5rhWITy42Vj+O2mKior96mJzw3iA7p85NW+SikRDe0LHzvPg3sTsrM84 +FbkpWyWZhuN+jVkXto9RkQZF/P2dSzwQaXTzNv9NRdUflxkPXeaB+StN08pf +VFRvGNNmdJUHTSOv9JRHqKjljV3GrWgeSOZMmyUPUVH39svX+mJwf4W++woN +UhFlrXTWjhs8OLjn3GO/fipK3E7vSkzA/n7xTKSzj4oiVp2z+J6I67t0M3BP +LxXZXjzweVsKD9Z9XjBb9Z2K5sZzcxJSMR+EVNa6Hioy0zoR+y2NB4y9T+3T +vlKRb9+DnK0ZPPje0rVOrJuKnt8/8Tk+kwd9fSlSZz9TkYhykcW3bB7s5tTL +9HRS0S5aQNfWPB6cL47acqCDijpFOFkJ93gwr7PyBLOdipwq7kf33Mfny3Su +0PhIRQzW0ky9hzzo2Bgim9dKRV+6l39KfMQD1ea/qeQHKpothV29j3H+vO9V +vfSeita3z7Tpl/FAEKLTPvKOiiZorWm3ynkwX/RbrksT5vO3feRABe4Hoy+i +sZGKcrTCU00qeXB6xiTE8A0V/Txn+/7OC+zHqcFrZfVU5BrUpD/6kgeWC7+W +rqijokGu6DvzGh5sD1QcuSmgopurhxNzEQ/KYjLMhPhUdF4t6dwUA9dzx+6F +P5eKhFJGE2zZWJ+/TI272Zj/hVJvHnJ5cO2Lz9d9LCoSbJrWnS/ggf1Lxl0m +g4qI8sJ6hzoe6L018tWspSIDi1U3njbwIOjsd/sCoKLjqT7Bkm95oD/36LB0 +DRUdMI2N83jHg9foRsC1aipyEI+oq3nPA1PyWsFkFRUZJVrrLG3lQZtp8rDX +Cyoyj5yt8//Ig/zqx7btlVSkE33jxutPPKjivX295z8q0j0qHKrchfOeM32k +poKK/stzTQj/woPFxOqF6k+pSF2itLHtKw8c55sLcp9Q8Xwd2K75Het12v3e +4jIquiSi2Bzfi/16ICA1qoSK3v40Te37yYPVZ/xyJoqpyOKJz+WdgzxweXKA +4fWIij4JJ2dkD/PgQoDi3/aHVJR942Xn9C+sFzneXqtCKlKc37/n4BjWy8K9 +leg+FTkuUf7+ZJwHdbmFulsKqCjJ16eIMoX9btHytiCfilg13HSvGZxHXm8j +l+ZR0amXOhXsWR60uN2yjM2hojhq7ZTSPD4IchVU/2VR0U6fEycvzufDf7Ee +q/0zqSjm6qYF7SJ8kIj11PyWQUXLaXL1OmJ8fD9a6WR/h4rml26ElEV88Ay8 +kSFIw35X9Pn0S4IPhPb90R23qYgv/mm1NZUPjtUnjj25RUWFGy6mFRN8CA6q +/7E6hYpOq9vriC/mw+XGpqi0JCq6/PqkkOcSPiTuCNCTTKSiNQ+rx9kyfLi3 +sWhhRAIVFVyxkVktx4en9IDB3zeoaGTRerfIZXzIdeb3nYijIurAno+fFflg +El042x5DRX7fq88bKPHhmJDkOpvrVLS24IJF1ir8vOGwN+saFdV8SjKZVeZD +R/Veju5VKhrQnefptJYPYYMrdR9foSLhy/zKl+v5sNDyZK3SZSr6YT+qIb+R +D8LWy11TL1HReOjFtjA1PjQG7JCTiKCie4n+jz5u5sNLTdQXfpGKht3fFG7T +5IMYNb9x7Dzud2bG2zvafPh6/kuD1zkq2tHfpjyjywfvubPfOkMxn2R8gaMe +H4qknMkDIVT0uualTfUOPtzefsuOf5aKyvKOr1Ew5IP0pNQT/SAqkj+XtO6i +MR/+8NpWVQRQ0eoJY/uunXz4vbnr8bozWG+t58oMTfnw6r8V1tmnqWhSYKiV +Z86HL+3pYkv8qEgy5laP8B58HpXdH2J8qMiz7kKthxUfNisq1cw7hfk2meVx +bfiwzFyl+uxJnEdlMn/X7efDiJrt2wFPKmplNjrE2fGhwTFz1vUEFQVpq/YM +2fOh5eACozYPKoqs2phh68AHoeJrGdbuVNQm03a+wokPhj+WUTiuVJQ/tjlG +xpkPrrdqb20/hvsnv50ZdowPa3b6az11piJTjZk1nW582BK5ZmDdUSr6M33m +udFxPkh1db3IcaKip2oPAgs8+WDafytLxpGK9sRkOC3y5sMq3V134g9TkRdj +/2kfH8yPfV+x6CEq6o9/V/rWjw8/Oy60nD+I8/Sxorz2Gczn0X/SYwfwfGvR +Lb8TyIdQn+O+3vupqJKrHDR3Fj+f++RTty32k3afm3soH+yT2o852FBRXvfV +i/xzfNjb0jX71oqKJM7PZ2+6yAffBVVl5nupaEu9s05KBB+2VXuE1VpSkV5U +3vupSD6QSZ0OWy1wfhxvyHaO4oPeqhX7npjheaj64xb7Gh96JFRc1plS0VDi +SOWGGD4s7+u/kruLijR3DYkmxfGh85APkt2J9bPsW/hkPB/mpgroScZUVMt4 +r+ycyAeDU4nnxI2oSGWOM8FO5sMOmw0zkQZUdC785R/VVD5cMfVLnNmB9UOr +XJ6Shv04dkg/cDsVTbu/Cpq5g/sx/VVocBvO4x1NE66ZfDg7K/HJYysVzThO +FQiy+VCbV1fXqYPnaYh2hEYeH3RuKjXba1NRuN2Nq3fu8eHRqQWjjZpUpFwq +9GL+A6yHrrMqFluwvk1uy3g/5INVkq8/czMVpbyxzXv3iA9xG/uatqvjeS6j +dXh7CR96Hbst/tuE/di2c3tBGR+yeXZtahupKOzNFUvqUz68Xm5w8eEGKrKs +mbwa/IwPXtQ7W1etp6KNx+8Nfa7kg7Wxq0TmWiqKvRwbaVGF6z+Z/Ft6DRUZ +f3hiXFHNB7bWutGbypgPBXk1RcDP2y0Xk1iN9a742jS6lg8Xw/w1olbi/mWy +40aZuD/28oFzK7D+baj/nDh8KM9aWhe6nIquzRVmcHl8+CDisW1MgYrKfdM9 +NF7zIUL/b43vMipq2PfVMbOeD3ZCHw/3yVHR/nMxFxc24v4KT4u7y1LRw8Kk ++oAm7O9Z+6ZOGbw/3Zoz62rG+Xt/uPSwNBVdkHg/YvEB9+N5dX6zFM4zljT7 +vzY+ZAxUPbZeTEXb43nslZ+wvv711AtI7Kf1Q6PxnVivhVtFdhNUVLcvds/M +Zz64P3xiU0ulon1v85tOfOXDr2rzp9sp2E/H9aKaezDfubMbnktQUUernbtR +Lx/8ZPhVW8TxfBke9yv5ievpeOBcupCKNpxcWSg/iN9fcUtugxgV0YhPkteH ++RDlHN9/XxTPr9w1WeO/+ADZN5pWilCR3PeFTu5jfBDZmvAmaz4VJedd3t00 +jusdju+WE8L7QW7GEcMpPtyKjpa4PUdBe7IP5JbM8GGQH2yx+B8FWZ0oJxX+ +4fOEHcpO+EtBxtXPS2LnCeDFMRVxyRkK6jnhHTI9XwAWZh0x0VMUVKje4Osl +KoDQiRAl0UkK6v74LbFVTAD+W//UXxqnILX1T7+YigtAs23vzX9jFPT9x/aj +lZICyMy76HnuNwXxv0SJraEJwNH18sHJXxRk9j6xI5UUwEyPvUPQCAXFJrl/ +XiAlgI8zEwGjQxT0r12ICJYWwOYA53y/QQo6H+Jz6sdSAYgsi+kd6KcgH7VH +f+zlBbCDG2By8icFrXpX84inIIAbu5dW/OiloLvKxfFbVwjg0qmAbR4/KGjB +wNmsopUCOC95qaW7h4Le/V7ZLq8sgIrp7dEu3ygoVaRi5401AtCQzLfu7Mbn +6d/Y/m+dAFqlS1WdvlBQ/pmUrNOqArD75bT8YxcFzXPoj+/eJADdgMI1hzrx +9wO0iw9sFkBz4I1dLZ8oSCMudJyzRQBOb8RCD7RTULzXc5+t2gJ447SY0dSG ++/F+nCzWxfVMPlph20pBBtm6XxX1BJB7vj7lTQsFGUVf+pK4QwAruQGKVu8p +yNfvvaSooQDqK+68qntHQSskdD1CjAXAXqV/xrKJghS0Hv/s3ymAv6OHtwsa +KejVE91MZ1MBqM//KW/+hoKmrTrPvzMX4Pn1k+DV4/505F433SOAUreD8qZ1 ++Hela8yXVgJICF2vxxHg9/9JXK9ui89z0PX0Lj4FsaQ5Nff2Y310TlWxuBRU +57QmQvagAMLGB+R2cigIbr7wjT+E672sc5PJwvq5FBEj7CiAfO/3ciZMCgqZ +DX8XckQAnqmMKkYtBa19/9J8yFkA0f3TfsaIgpLe6Ay6uQqAsT9sG6OGgi7B +xKs2dwHEPd8uZ/yKgqqD5l5an8D9FtGnMV5S0H+w7wfbC9ejFCZrXEVBtaf+ +GGw/hfU2O6DLeE5BZyz72eW+Ahi9nORjXElBLmt1Q9f5C+Bi3vFKxjMKetTW +dTgnQAC3TD2kTSooKHj99xMyZwVwxDUmhlmO6xmxyo8PEUBt99vFO59QUN+Y +guSCcwK48kKnnFVKQTJU+7wLFwSwtrXSY1cJBVHE/nn8CRfAos1WmzjFFLS1 +QtreJ1IA5pXjEqaPKCj6572gnisCeHv08T/uQwoSBBfXHrmG/bDMd4F5IQWx +1TfrtVwXgG+P5irBfQr6/EW72ypOAAfLZg9YFlBQh2Ptf9x4rM9AVkZdPgW9 +DW5+bpgogO61URN78yjoskRg74tkAchx9Tzf5FBQ9qf8XVtSBbDP7NugTTau +h3+isThNAK/vh0U3ZVLQjUxmtEqGANI7pnUO3KWgUo2XvjmZ2D+9Ln/f36Gg +c/b7IuVyBLCHVfjePp2C7nTHMVPyBLDdt4HZdpuCrhX7atAKBJD0rZ7jmEpB +Fy7NNFx/IABTlfzOjhQKEtHWSRcpEoDSFgsJl2QKsrmnnBheLIBHErCnO5GC +1LME/02XCEDnyWye+00K2jexTvzsEwF8V55P/RFPQYuvm8b+eor7c4p3w+sG +Bd1ct2abz3+4n9F7Vg7EUtDBojrpvucC8AuPee0bQ0HaPXpKHi8FYGh38fqv +aApSLQk5/OWVALyJ1U6B1yioovkqHEECKKsMNpmIwv3eenL/R4YAcvYFGYRd +oaCgpypL7NlYj31LbWYjKahKBok0c3G/o44GRVyioPRt21baCgTgo25cKhyB ++fud5tNQJ4AfYzB79SIFhSp+/m75RgBHO9+5iF+goLOJi+P5b7EfJ0Nbb5zD +el+l42bajP32fxRXdzzV7xcncqcZySqVhqSspKRhZCQpoyRRRFHZIqWBSJES +UUiFJGmIMnKOjMrd91ZCZNPUV0pI/Z7fn/f1eT6f55zzXuduLfWRPyqNt0sd +fBvfEn/7dXB6eiTBj777ikUrOT/6sGrWEWl8L33gV117Mzh4RMVlh0sjJyM0 +dn1nM2ivg72aYcR/Ik6thS6C790TLvkh0rjnUsaitb3N4FRWsWtxsDR6P6lY ++6yf+PUBr8iSQOJ/L/tj1ww1A78rskjvsDSqXls0Vv2J+IPuny+PD0pjDv1k +punXZljiPWC1KoDw58eIX/VwM8zINCx7dkAa65fF7TMdaQZKzwcj8/2k34yV +F6tHm6F3+2Bzky/BiyL/2XSsGdbJbwzftE8acbdiaM048duFvw353tIoDLLS +NvvTDNUPxqVc9kqjrVaRdO3fZmh9tfFbq5c0etqv11wnzoKj59s/7vYk/tIo +vwclWPB3xuPxXg9pfBKsyd8gxYLEY2yNA7ukMUYn6FA9lQWTPZqu33YSv2ZL +rrJisOCPz72boW5EXyt7DF5Is2BI87DE+HZpvLiR6W4rx4L+FZ6RMa4Ej9Yz +D1kKLHhTf0xc0oXMo9nF2EGJBa6fn+eedSLzGD/2ka/MgpccXUfZbdJoaC3G +clJlgW1ypVK6ozQeONfb9ladBRX2e4dVtxD/KV6isnMOC+4s1+rI2yyN7Qmt +8R1zWXB852TnQnviz6M/NPdokfdHekdL7Mj7745/6lvIgh71ttmGtiQ/VKJ7 +9muz4K1Y265Ka2mMOztM/arDgsjGD6XrNkqjv9wHj+BlLBBdGlRsspRGk9TN +3T/1WPDo4tcUewtpbBtYm3bUkAWZn7+qizZI48zRitB/K1jAbu6rdVsvjZlZ +lafjTFhgs5Mb1rWW+HOVHdJMWcBqLFzrZ0byx/Dw0gtmLHi+yl/9m6k0qg8s +eqG4ngUHexVlwldL46dn0alXzVlQ+v3mjD8m0rj/4qFETSsWGKTK6cauJPjZ +iN8vtGbB7v/cdtKNpfFbw2pJXTsWOFhGX7toJI2P+jQSy+xZ0FEZ9H2WIeF3 +Wunq1VtYkB1r7JanL436Jd/V6rayoF308s0iPcIfxSEdG2cWXO+Y73t/GZl/ +eaY/z5UFd19b0FfqEr8KkHrn6kb48lXrea2ONKrNXRHW6c6C9R71yRuXSKPz +k8XrfHez4KOb2iHuYmncLdNv8s2LBRqq2l6ui6TRhXZ4T4Q3C1a9GfLtXCCN +C669ePp3H8G/3vWUrxbxq+s/1ybsZ4GFRuD9b/OkkfFn8odsAAvOqS/7L2Iu +4UdqZ0vmIRYETF7Y+G8OwXvLjU9zg0j9o6n3E2b/3z9slt4NYcF5S92lchrE +r5veZhuFs8j/wT01mWrSmOaydU3tERaItS72mqsqjRbZ1XSboyx4nHlSuXgW +ya8kFarwGAuS8316DJTJfiUeaLTrBAt4pgKsViL8/gYXBk6x4FDu80eWitJY +qy+nGhzHAhXpFU85CgS/Gm/R5BkWmLzSErjKE//eX1t95iwLuhRTpj7Iknxd +oiWSP8+CQYNDZgdkSL4MZqrkpLCA61ubOsKURn6c5oXFF8l9o8fHohkkb0dq +DR+nsaBtblHwdDqZl0wkZX0GCy4ZrvqXQiX5ztlCZ2eywClIN28WRRpl5O3W +7LjGggVzTjnfnC6NQU3+OX05hI8JeupLJaXRurVcNziPBdUjK8fKp5F9TG/5 +16mbLFC7k9a/TpzkZ0Vbe1IBC5pH1w2++sdEjmfNuHIRwUdz1R+nv0x0k3q3 +saCYBRJHorU6/zBxVYF+vcE9FrywlPDaP8nE8Vmcw3ifBRvfsktHxplY4lpq +6/CI6C3ytdzx30wcs211ev+YBQVHZ56hjDHxQ8fWZP8nLNi85ILMpZ9MrP+j +9ut3JeFvy+pi9VEm7k81TUmoYQFHoOR2e4SJa5Mfu8wEFuT4q6sZ/MdE+84k ++4I6Flj9sPteM8xEI//nIUYNLPj3LOed9TcmNmt5vqxvYsF9DfnXwi9MDPvt +s9npFQt+7LvR4/GZiWKvW8R7WSxQ/mwn+fEjExcVVfeHcFkgO42+KmyI9OOj +OD5NQPgg1n7y3wAT1b70m6aJCL/XVLUn9ZN+TIxK579lga5Mvu3MPiZOrJBw +fPyOBUrsy803epho9851rlU7C+R4ibt1u5nYNs1w3tsOFugFHZte+YGJsiXX +tvl1scCcdhAsO8n3mi8/+t3DgspRp/P890zUsZhnntTPgqZkvYO72pl4StZG +XH2IBUZ6f3cPtTJxrzL9+71PLDhrUukT9o6J+7YclFn/lQVjEruPi7Uwcc39 +kF3CYRbs+T5UdP4NExPmzm3zGSHz3uU6OOs1E1emRieMjbJgqvCmSYGQieL/ +4n2SxljgotecrS9g4twtlsEaE6TfHa9m1PKYKBFTde/BH4L/6ewcOy75fugX +Fct/RG/S61e3sJlYa9hZ3iLOhnm7H3z0ZjGx4GraqQBJNki3fLz7/RUTH96V +O/5Pig3m74dOHn9J6nFyK0qjscFXeGc//QUT9RODJRYz2VA7W9v7SiMTNdd5 +pNTIsMF+kXeQVgMTi/01bbfKs6Fkm3Pqw+cE/8law4EZbNCjjj9fW8fEwU9r +HKJnsqHl/mYqG5jYtDg3U06F3PfIwcutloktpQMKhWpswMjfzQM1TLx/SPWZ +6Ww2OB+ytgmrZiLT2+yKQJMNuRMr34lXMVEx0umG33w2fDnXdPTCUyaeve/V +PrWADauTh5drPGGi76/9VpcXs2FZwP2x4nLC3w1BH5bosEExbZrQ5DGpP/Xo +nTpdNnSH9Nc2PSJ4vTl3a4ceG0yinGudHzKxQ7KIM2zAhj1K9vye+0ykqIoW +Jaxgw+YnL0eDSpk4nSL/aLYJG7J5TTr/Spjozt53sGI1G5J55uHJd5n4zO2N +q4MZG+S0VwnUipnYcN87eGAdG8ocCtcVFzExvEqxJsacDZVlZ9DkNhPXRX0x +VrZigxT7rdOLAqLPj9+671uzQYuZNu6Sz8T4qTnPbOzYYPXxycO+m0x8UBr7 +stue/G7dcCz0BhOPTGpIRm9hw51tum7T8pi4q30kUHEbG9LZETYXcwk/LKWY +pc5s6KxVtdPMIedX7XpnvZ0Nv24o7b5/jdRT8vt1txsb/nzzjlt7lYndVz+I +H9vFhkdzpj3jZDIxTlLJc6YnG2JLv1A8rjCxsy37y4M9bDg6U3Pfl3QmcudF +F2/yYYOjKPN19GXCd35Z5oAvGzz2OLky0kg9PXZPTh1gQ56Z/aerF8l5d0sp +jYNsgP4TqUtSmeihkx//9DAbJN59sqlKYWK16+EVzsFs2JV2doZdMvGL94VK +30PZ4HZlx/fWc0xcWrZ14fkINhj7OH84kMTE6y0hfouj2MA5GtU1nsjE05tl +Whui2XB9V8OPswlMDJVfHL0nhg38c/oqqmeYeHROw+a/J4kezj1zLI5jIi94 +wPFaLBtonT5XV8eS92XS4kzOEDypWr+aTxH+DnOG3iSywfvCmLf7SeJ3CteO +h55jQ9dYe+/nGIL/sb/m8ils+P2CE37sOBN3av8xuZ9K9HHmlYr0MSYqyWV6 +bk5jg0IVi5dzlImS1m8rPqezQfcz/8qyKCY+flq1NimTDZo33wTDESb2HLQd +W3yNDfT9bz0cI5ho7X2m60UOGx428dy7w5j4Oit8wjePDTE2tQEhoYTf6mpW +UrfYEB2ZmywRwsTynqNYUED42nOw7nIQE12HMw9aFbFhvcJCysJAJiZZRtn2 +FxP9pTftfnKIia0f52yPv8eG9t92L20OEn28TU1f8ICcZ923aPNnYp8qX7Lp +ERtWXvuPH3CAzPNud75vOan/NzNoyo+JwtRX4ZSnBI+Qv5oXfIlfCM8dKaoi +fMp63qu5j4kqAUuLbZ+xgSvm+vSRNxPf+N2X/gxsyDQpz7Xcy8T0ulk3zz9n +w4DofcZbLyZGJR70W9ZIfu97lbffk8z7WakH/wXh0+kjNRMeTNRy740LaWZD +9bPej+d3MVE9VKZDkcMGyj269hx3JrLFjXyf8NjQ1z8U9dCN+IPiDs2dQjZc ++3v0vcUO4q+3YhhTr9kgk/LM8a0rE3Ub7y7Ka2FDnc69t/tdSF4F94ZZtJF6 +AzcennRios8T7R8D74leRuKVU7YRPWaevpn0gQ2XHPYLNbcy0VR95PSyHjZk +qX/KLdtC/NT52GVhHxtujFGOb3Qg/qW/oCVikA0fjtYebLVnYiX3u53aJzbM +NqcfPriJ+PWy3mH4wobmj4Mn/9kSPBzFmnyGib/JOBdcsmGipbU9hzbChoVb +NrUvsGaiuSpr+v1R4sc2zfMqrUg+vDgZ6DzGhqSrnGh7SyZu8gqmT4wTPvdt +HfhgTvT+I+/t9T9s2NTotDd0A8E/ZsZrq39sEPvAG5Zaz8ThGZxpX8Q5ECJ8 +nnJ1LfHvx4K9lyQ5cHaD9rplZmSfCFkwakLhQCP3n9hzU9LvNnbFBxqH7IMW +r11WE/16NxefYXKgij/89KMJEyMfzOfrynIgKnna/eMrmfh97fuFb+Q5cOj3 +kQp5YyauVv9dekyRA2pP7HkFRkw86B69X0uZA/mBx8dXGTJxaOqAE1uFA7Uv +pVZw9Qm/5V4GhqlzoO5A/6m9ekzcmJ/1TH0OB9InlLp+LSN5Xt+zpnEuBxrm +p285p8tEqeO3vx7S4sDBFE/+nKVk/m2feTMXccCyL3jv4yVMnPpU1gvaHOLf +L6fbapN51UhoH1jKgT2TXlUdi5h4YPuH6wrLOTBzxsqTIQuZOItnZ1OjzwH+ +c+vtlAVMnG9oN8/XiAM2Ty6sy57PxOVJ3bpyKznQlMNYpT+PiZ6fFAOqVnFg +mdZTiyZNss94DLX6rOGQ/78XPd3nEL2Peh6VXccBM1b6+e8axN8aTthXbeDA +dTtsjldnIu3NJsd9lhzwWiSjqqbGRFj5Ml7OmgNuCseOPlBhYvTU7y/VthyY +rJH6YjWLzMO4J97PntTTWny4fSYTZ48mOM7YwoFOlX3TgpXI7w3f7GErB77p +G9yWUmSi1SqV6ABngt8bGY9sBZI/vcx25e0cMH06Nt9Anol1OzgHG9w48OLC +x8kXskx8VbhbL3gXByLlu/s8ZJj4tq9hwWxPDhz40db5g8nEZGXJzaw9HNj2 +RfTxLIOJ+Xs0CyN9OHCq7OV0TToTnwo09Bf6kfmJVRhUUJnoHSn2TXSAA0/O +ZwbZU5hI38t+f+ogB9bLHYKe6Ux8cjd+ankgB2hWenOiJEk++eg5dgaT/vo7 +L8hKMNH/Fv/1+TAOwN1w+UJxJp6L9j9neoQDPKf/bq0RY2KV+LSwT1Ec2Jvl +YC36y0A7y2spWcc4ILkqafLAFAO3ea9utzlB+DKch2J/GBizv9ft9ylSf/SF +jCsTDNwefpVeFMeBoaxtx5eNMzAv0/vr9gQO7KIPhjWOMdD3g/k0ahIH5M/b +Ht/1i4GM4DW2T89zYLwzIuPHKAN9djg/33+BA3fqAzDpBwN7HqQcUrnEgZWT +WpNzRxhoeHnYrvkyB5ysr2+s/E7Oy0bvjL7CgbX+LTcdhxm4YcOK7KVXOcBd +2Cw79JWBovXz5DqzOeC3Piz5xBcGyizaWHHhOuknWqim/JmBQxIFKRtucmDJ +te6q0o8MdJkwz/qRT+rZl+u/cYiBe+dovS24zQHlG9N1OgcY2J1ob7WjmPSv +oPgnvJ+Bk444QL/HAdGppg7pPgbqp8ZWPbvPgdxyFX5BDwMzfK5i0CMOzIqg +i8y6GRjVRx2fX86BZ+fSB958YKDyYpF3yxMOFMAT+uFOBv50nBI7V8WBwPZD +66Q6GLgx6Bx/7TMObLrzOC63nYGrik8JR4ADf38kthm3MfCYfJ/U7ecceHNm +cD3vHQNvN1Yccm/kQLku54lfCwPPdk5Jyb3kgEy58Tqxtww0j30mbGjmQPdH +zZbM1wz8heP8KA7xn6zEE/oiBvKfVYgv53Og5pK/SbOAgXEpv336hBy4eKte +3JvPQPnt9RNZbzgQei21fZLLQEd9tfot7zhgaMdtvMxh4KuVkrXT2zmw8GQU +6rIZmHjh9OfqDg6skLnAampm4G6nq5tCuki9jYxBz1cMlLq6pXNxL+Fr1BeF +8Rek/3OFtz70c8B3QnfLpSYG7ttw61rGEAekNDjXdBoZeLPLtmnzZw5kPW76 +3VDPwJDI3PnTvxF9pyv77n7OQI/VBWU130m/l2t6x5CB38z2RoT94ID0mUfB +F4GBgzmtAUt/ccBowy9ZnVoGfkqQvdz3mwOj1+JqG2oYqMGkDmdPEr0c2nl8 +dzUDM51eHHP5+3+9hdn/rmTgotNbzWTEubBdyNO59JSBQQ+L9V5IcKFx5gG1 +pU8YuIDW4npSigu6hmZqTeVkXkVt91fRuGAnbqvj9ZiBlfcqTX8wuODlfnbT +xCPCh/WREyUyXDBVn4y+/JCBJ46pfvGV58LqOddqlj1g4L0L+XJzFblgtt5X ++lUpA1eeVd3fPpMLz9zdDnvfY+Dz6ydH0lW48Mgh+MPUXaLP/9ruO6pzoeBX +sVdmMQNzMnTzGHO4UKgvMWJwh+j1+bH6prlccOqMSOPcZuC0FLbKaS0uvGmf +ZrW/kIHSC+beMlvEhXZavpREAQPFb8d4jmtz4YbN9nc5txhYsPKjQ/lSLnyL +VKkyucnALWL7goOXc0Hm2OBdUR4DrRb+atI14MJ7w9p7h68zUI+Tt+WTEan3 +9FWg5TLwuuoBxu2VXMjaFNWdn03e13ea8F7NhaHg7TPWXyP8tfJWn2vGhaJW +fZf2LAb6+eUEd67jwh6/6bcjMhkYwZ4+cc2cC3PEeFSFKww0y80rd7Piwqmz +547eSyf9/ArOV7bhwu2PK//YXGbgC3pM0xs7LhhTBMl9lxi45M9LtcubueD7 +ymn5yYsMbB9zzd/myIXvys+61FIZyFJe6iXvxAXFdtrNJykMNLliv4XvQvqf +NA51Sib6uFQTfGEHFz7s3eA8fI6Bm1ecfOHgzoWyiQVW55IYeKHkmqPMbi4c +uddttegsA3Pnz5DmenFhhm+wa30CA4PLP/1J9ubCuKwwwvMM8avchZoOvlxQ +uSJ2ezKOgZfEWBEyB7jwe3B84EosA8umvxfjBXAhbbjK2Og0A+e2edReOMyF +yGvrM/gnyfwKne87BnPhcWvC9EMnGCiX0yCSDyP1ZSbH0WIYeKX3oY4ognz/ +pcOMwmNE/0WaTy5HcUF8+8uH5tHkuZxShOsxLuCKMc8PUQzUdEzbP+sEFyRd +3mkci2TgwvTrKW2nuDCtcP/nWUcYOI+xdig7jguhqgUvy8NJfa9Dwj0TuHA5 +P6l8Wxjxs6XmxvOSuKCzcuaj4RAG2q9+sKT/PBdONlrWng9m4IOldduKLnDB +02JGm3YQA/31o0oDLpH6CmKmvzjMwMDj782Wp3Mh4UPsep9DRO/Lh8V+XCH3 +D805J36Q9J9YPlZxlQuHH2/pz/Vn4LISw3nROVzQNpXbsuYAAwvZh06uy+OC +Rujul61+DGycvV9B8haZj9PKrUd8CZ9fLXz3soAL3a+vfFTcx8B+qVJBchEX +ZIePXXzkzUD13+L/tt3lwpprvTaOe0n/PQu9ZpVyoVP4UvabFwNbezV/djwg +fLmgPXDOk4Hlq0ef3Srjwg/2NLb2bpKXigVVByq48Clua92LXQyMzV75eXkl +F9zLFJr2uTNwhsKDLb+qubDZ2aJNYicD4zMUhmpquWDj0zV1Ywe539/7cWwd +F3Z2Deit3078s7LwsV0D4WOTU2inCwNLq7qG5F9w4cwMrcZjziT/rittbX3F +hXUvnBeqOTHwxxXbr3lsLuzo6smo3MrAP30nn+3nEb7vZs3c4Uj8txDq9IRc +OL2BUfjLgeCpQZ/4/ZoLG5KuW6ZvZuDAcR/fuhYu1K2KHzG0J374WyiV1MaF +3K2V94V2DOQ1ubVv6+DCiMjkWLAtA700pnrVuriwq15sh5wNmeeyOs3+HsLf +eTIW9zcy0E2v+GJpPxf2/fIwc7Bi4GL3GuPIIS40bfi68asFA0f6J2XNP3Oh +glbped6cgcmShzSY37jg4lSboLOB+NvIDM+337lgoTVR27yO+Efv6Ou8H1zI +OX1guv9a4sdMxRMBv7hAC6e508wYKCgI9zAeJ8+ntUCRKQMbvmsEif/hwh8D +nqHNauL/qvJP2H+5YCUzXDFowsBiDyeDTHEeyOYY2iasZCDz91C3tyQPooey +Pi00ZpD/h28bl1N4MG9i9rUmI+LnknM6J2k80HgPO30NSV6NvFjykskDqawo +bSkDcv+MN3cvy/LgP1NbSqEeA2kldnv2KPAgnK8zarWcgTtHlm5apsSDwr2z +v/frMrBP7eSBSWUeKP7TmIxfysCqAJual6o84D1apLRQh/jPzCSLDA0e+J4z +WdukzcA7Hrb/vDV50J+xOcJ3MdHL0aRh/fnkfK/3M6lFJO8KtyqKLeSBwanI +GbcXMDBB5dYh7mIeXIhJjLTWYqCuauxktg4Pej+nfhmcR+bR9fNZwDIe3G9N +CUycy0Cnu/8er9Yn9e84Ia6tSfC4n99FMyL9RnvefDWbgTorPq5vNebB4m1L +t/lrkDyIFLwpWsWDuO89cgx1Bu6/u+d65BoezD5wsvOuKtG3Rm6OzToeePLE +q+1ViF/9S+LPMueB3kqfwq/KxE8zlpp8tOTB8OP8vJSZDPyomfC60poHxzzw +znIlBk505hYk2fFAf+PjOv4Mktf0yLvum3nQFXd8KFiB6O3zzIGljjzoXq4y +e4Y82QeqTrj83caDcY+4vY9lGUh9VjHOc+FB6MKachcZkkd6KLyxgwdyN54p +jzFJ3rnldYW680B+ID4xk8HAq0fc52/czQMdGQXqajoDHzX9vDprDw/SDDwz +2qkMhPOh1p+9eTB60N/wOIWBX+VaF9f6knpb9D7MlmLg6pQl6y4e4MHL8/ez +UJLkgfXBJJ+DPBi73bt3rwTJ+xM36SaBPLhp2bxachrBO1oAjBAevInxmlso +RvhweurOhzDCt9BbM23+0fEla8mrsiM8OLs2VfXTFB1bSzw0Eo+S33/n657/ +Q8f7264W7jrOg1kCd4dlk3T0V+r30T/JgzuvjWL443Sct9x8h1QsD7QWl9SE +/Kbj2Lfyk+3xPPj+qZamNEbH50mWnQ8SeTCwxn/fk5907HEcCTpzjgcea+/y +3EbpmJdUb7IrheApd8LmzwgdbSNqVhhcJHwW9fBy/6MjZ3e3H/UyD+YUi/Zt ++E7H42eMeZ0ZPHCqcKD3faMjwwgDyrN4UKu69dmZr3TUe3Da7Hw2D5ImWmK0 +v5Dftqctva/zwDmqy4H9iY7ZZvUnV9/kgXG1n27gRzqi0HZEvoAH1X3+qgpD +dLztrJr18TYPvqoOKpUP0HGG7KrwumIeWMW2ztnRT8f91sVnsu6R+yzWmUz2 +0vG0dQgn+AEP8LSSZ24PHRc5p9valRH++bld3tBNR6Nq5cl5FURfs6jv+j7Q +8VvdVPfkUx4Y1c5ekthJxzVVm/6+riZ6OXk1SaeDjk+HpjuW1pL3z0aOc9vp ++OqSXktCHQ+2iFVEhLTRMVSOn7angcxX1nHazFY6ulwfijd9wQPdHovsyhY6 +OibH3FNq5kHejRRLj7d05Olm0L+zebAjSndS7A0dLzYY5jTzePDusgbmi+jo +nO++r0BI/EFzV5qNkI58aQXvk294cMJ6IOwLn45Ld7pnuL/jwZ+VlT6pPDru +4Jn+M24n9c4W7jXi0tGs+kmOQicPJJYsC3zHpmPFIVHwty5yf0Lz2WMsMk/9 +tOjmXh4E+eY/0mym4yyXyarCAR7c+Pn0Y8NLOsrMldOL/ciDtz7Tlx94QUeJ +sTdtnl8IP/vOnJZuouM2ha3Va4Z5oJS/uu9hA+mnKV6gMsKD4jcazq71dMzd +F6kxNsqD7cW6wok6gud63euvx3gg7uy3+zrSUT63yPXRBA8o01/+tgA66rZ8 +s0idIvh/t78x9IyO7hqnDVeK8UFk82N7cg0dVc//8iwU58Ml86fqBtV0fNfp +eltJgg+58lnDbyvp2G1eQIuX5EPGp0v86Kd0XNXWe2Z0Oh/OTrsFmk/oeEio +OMeHwoc/KU01jeV07N+6Wiii8mGoceKF/2M6Zpx0zbOg86GsY023bBkdtS4E +nC1j8GG1dBK1/CEdE/Kik+dL84F/7oPZzgd0PNCRWJImwweji6tP/Sulo0Vw ++oCEHB+yXTKF+ffo2HzmlmmYPB9K5H/p25XQca91+d0+BT7E/HW8PlxMx6AO +trGLIh9yXApV0+/QMST4y/tGJT5Ibf1xa3URHa/pz8w1VubDIp0Vpl2FZH4W +9kdvz+LDh9kHuuIL6OgnSg2epcqHWL/zaTr5hD/MgdizanwQrs92Ftyk42p1 +h4cT6nyQGEyff+QGHdMXscYDZvOhOiNCTCOPjg89PD065vBBMdn08/NcOt75 +zHzvMJcPFyk9vftziB5/vwnHeXxYZun3SSab6ONhzRIDLT5sPfXy7+OrdJxt +UT9xawEfWqamzXXPoqPau8/9Sov4ID0+Y6t4Jh0P55p8SVjMh7uPfqfczqBj +Et6VntDmQ5t/advmdDp+OmBtd1CHD8Z7DYxG0+gY2SR9s3MpmW/rqWtXL9Fx +LUVcaesyPsyecVVuw0U6Wm2ff6t+OR+YjpFpgxfoeKk9wt5Ynw8/hSpaKSmE +P6wpuTsGfCjsjH5ulEz051D1Xc2ID64V1w63n6Oj6GLp55QVfCjNiVh8OomO +KS/ei09byQfWO9r3xWfp+GymtWG4Cem3ZFsjL4GOOo+GTwytIvXsciiKOEPH +toZ3g+6mfFDRm8jUiCfzi5IM4K3hQ0eA05WGWDr+Nz2cZrGWD7tct98KOE1H +/ctL6yvW8WGjscQzhVPErxx1M5ds4ANsc+6rPEHHooNRibnmfHD+Ya2yJ4bw +W3HGZQVLPvzzbHenHqcjNfJP1RkrPiztZpTcj6aj+IuVUxMb+VABb2nbj9Kx +Qf/FzkAbcr/lqvC/kXSs7SoR9dryYUeV3reCI8QPGZ/9dmziwyb/qrDNEXSc +2R6rzLHnw/rrIurPMDqGx0b1bHAg/M2PKs4OJXrX576s2MKHyw133CxDSH7M +jGvW2cqHFfZ7Zn4JIvz3zBnM28YH94ScrrRAOo6sV9ec6Uzqee7+1PQwHc8P +Tgs758IHr01ZOb0HST1nnHrFtvPh02Gn1HMBdKTYyx2O2MEHq+iEVEN/kl8B +popf3PjwrtYgt30/HbcrtLzZ486HoMRtlbF+dOwI6X/UsovUv6ivW8eXjgGw +/+7m3XyQ/dyn/NqHzHuBN9R7Enzmb3M/5k342/b226o9fJCZp12itZeOH2Wb +Vj3YS+oz9qNzvOiYP2KQt9CHDxpltIhwTzpmVs6Zl7OPD9SP0sMauwm/L6fA +DD8+5C8JDm/aRfopOxWZtJ8P55r1aIHudFRxmLQX9+cDqtkVK+8kfn9xak1k +APl+cNUO3EHHLw+TbIYPErw1Tyge2E7O9+YH+h7mQ3l0eoe8Kx09nR0edQSS +8+8myqqcCX/XnJVzCeaD9/mSK95OdJxgbU9ih/DB4svtROY2Ov5bWTPHMowP +lg6fzpQ7Ev9/+JRfHc6HOmrwpd1byPuHt+QYHuHDyZBVdykOdKTnno6/G8mH +hz3rBQ/s6agd5Xx2/lEy/wdxkjs30XG3wYuia9F8WL5impWEHdHr1PveGcf5 +MPyi4lKJDR3nMDNXn4/hw2Td9a8u1kSPFydKJE/yIfNYlcs/K5IvL6VMj5/i +w+GtkqwiSzp6dNf2/TzNh5SrRzdvsyB4yi8oPhzHh+BHqh2TG4iekk3PDcYT +/xntjipYT54nSiZ6JfAhuYozf8s6OpaYnc5rTeTDqz3tbb/NCJ5tFa+3JRG/ +t6Jev7mGnM/K12Kf48PK+q1B9qZ0fHBvc6pVMh96jcsdfq2iY9eWx8qQwge9 +v8tX55nQcV1ZW5VJKh/6IsDAbiUdy2Tqox5d5MOCf14moyvo6HQl0HlpGh/i +f8pvyjWiY1Nsj13hZaK3pzx/G0Oy/1Bne2hm8OF30ZUrI/p0/Oupde7qFaKP +BX6CbD3irzj2WjGLD4PJprOsl9NRwfPq6gtXib9ZKBz8T5eOf4JkamjZfDh9 +e4h9bSnJbz1Xt7gcPghUa1Zv1KFjvChU4V8uH3z/nS3/rk3HwIsHBqPySB48 +2WJ2bTEdp26sejd6gw/3C+hCq0V0NDUd6Au8xQdx3aeh3xeQvLwaLP05nw9d +D1zmXdMifjHcsdW3kA9q6V0dVvNJfUd0H3Xf5sMXM9fC73PpOOi3d5nHHT6M +yD6OvqZJx7d/Y5reFZN+gsY8Ns4h++Th+KPOJXxQbdDY/J8GHVn/HbHj3+ND +dLCWbbY68b/6Hcb29wm+ndRt1mpEf8pL1r58wIfPwS/9RlToeE7n2x7LRyTv +Lnkl5cwifDC5fQPLiJ6KuJU2ynS0D9s+taac4K8q9+uHEvH/WeLhlRUkfxzn +rbuuSEflfYVU46d84Dyelm43g47BF2yfPqrkg+n90rGf8uR93pfY5dV82H9n +vt8NOTpu9LoUUFJD9Cvt2WsvS0fmiTWB2rWET5a7D/6WpmPnvq8phUD0VzV7 +Wj6Tjq/tbjfPryO/W3PytzCIngIOzrvxnOQ9s9Vpkkb8dfq6jNkNfPiOHNnb +VPJ9+7kLsxtJnu6JereNQkelOCWhygs+6Li33vs7nY7WXRpXr7zkQ6vq5wvF +knRMvL4mRqmZD93SJTGuEiQP/obGpLH4MH5D5ei0aXSUXNl0VZ5D/NZK/3Sp +GME3doXoApfw1fd7xs5/NLy8oGGRDJ/kUajzU6m/NMxwCss8L+DD9I6dA4/+ +0DB8k80ChojcJy8+13OShq9tzLlnX/PB7LTlfsYEDWcl+aRR3/IhL3dezZPf +NLxj9zAsoYXkcUumus8YDR82LAmRauXDrOv5Z+V+0fDzWtG5+DbC930WEs9G +aTg0VFIn+Z74W27I2QM/aFhPq5oR10H4UL1cfeYIDU+0/jkl8YHoeVlk9fPv +NBRkHWHGdhH/CrD1CxymoWXc0rJpPeT5QN4c9W803N6mEXG6lw+JCsf6Xn6h +4cibzS7T+vng4POuPPwzDc9X1jqeHiDnHcvS5n2iET2F7J82xIdp9vQY3hAN +12ofzD79kQ9h7LawY4M0/GN478u0z2Q/sp4XqT1AQyUNE7fYL2Q/M+xMeNtH +6l8g2yPxjQ9bKMz82F4avj9vlBA3zIeDq+6w9XrI/cnFNtP/44PfhjLxzi4a +3j8UuvDMCPG3jEUW5z7QcJHvRU3KKB9sH0lcNOmk4dkqqZWJP/nAZVh97n9P +w8zbbw7QxvgQoP5xa1o7DR2DxCqTfpPveXxtWN9Gw7/bzmoxJ0je2Wyx/PaO +hpqpISXJkyQftzP511rI9/xqHWWnCN8l5+23fUtDoXKg/MW/JP9Yycyx1zRs +7D/zTUFMAFoLNz/LF9FwlSx16LK4AF6nehzdJqSh25vRqZkSArBIqLEQE9Bw +ZdQWvSxJATyO91Mp5dGwbK3qCTUpAXCpuybduTS8t3f7pxyKANKTr3ykcci8 +FtFCNGkCCL2o3PeERcMSvv7MW3QB6Fxq/bSvmYZR10VvFzAFMCDdPjXjFQ17 +hN/LiqQFsChWReP5C3Lfo3P3dGQFwA+6ZBPURMOxo4X1pXICWOJqcXJ2I+Fj +kMUvfQUBvH2k3cCup2FAi49V+QwBtEhZKEY/p6HGf8yHJkoCSBaeD9KuI3hN +ma2qmSkAyJBsbQEahllMdKybJYDTr29vPlNLwxRxy+v1KgLwkA7jGj2j4cbT +Gset1QSgW+/r3ltNw3MSZ4+w1El9kcdHL1bRSB4lpmyZLYAvpeVZ6ytpOKA0 +57lojgACPzE3DT+h4TZ9B4Udc8l/7NKT1NwKGsbsnHXi/TwBhByXEdqX09Cj +7QR1j5YAat6X3Z4so6HXyJnS/gUC2OZ4+GzxIxpWDSwP9l8kAKaH6RG3hzRM +mjzmOLxYALKJs4KpDwj+4UH2YUsE8NFV4siTUhq+usbcN64jgLgt44m+92j4 +8aHT1Rhdgu/vsUKlEhr2T1l/kVgugEMtf/gNxTQMrv+886yeAHaFTaeE3aGh +s/WGARkDcr+rrO38Ihom8u1SLhsKgDZ91hVhIQ2Lb9GdVFcIIIOq8d+pAqIP +qVijPGOC70e17fr5NGRtqDBYaEK+r6fwqusmDV2uFW4uWSWAct+pjak3aBjh +7BpvYCqAN0rt/HV5NFz/9EXr0zUCKHtR5DucS/RMn7Jbt5bwR8qHej2H1Jf+ ++13jOgGoedArHLJp2He1JtZ+gwDWuWYF/r1KwwTfTZtE5gSv4zIrSrNomGV6 +e/lOS4LPbj+p3Zk0bNsn1Ou2EsD9uBu90ldoeHAxz2G/tQD2HK9iP0snfONe +PztsI4Dpb+7XHbpMwxvXNnZH2AkAZ514rpFG+Pa+0eXvJgEovF3A41wkfHg7 +ZzB+M9HH1RuDx1OJf/Bd06W3CMDs5zBj2QUaflU65JXuKICuUJk1nck0HP7i +Y6OxTQBFBRNHUs6Teq+v31zgJIBOlUew9hzhX8S0QF0Xgo+XwYzhszSsqyy5 +V+4qgChqVMj1RBpee7SBtnaHAFbeiu3YkkDD3SX1p5rcBCBTt8VZ7Aw5/9VI +eYs74cOPtrcP4mhYAVdetewSwM3mefv2xNLwzOFvmV67BZDYqvVP/jTRq6Vp +/EdPAXQ/7Mx/fpKG7+JPpoTsEcDcgc2uoSdoWBmLjyf3CkCTFjRDK4bgHTc1 +FucjAIlS8/evj5H5vl61Q8aX8GN//YP4aBpOVR95c8VPAMOs4VTjozRsSqgM +nHtAADMONR4bjCTfjxNfdNdfAFu7NoRlHiF5MrZ10uigAFKr9h6xjSB8XX7v +S+0hAcy+uODMRBgN2ZFKkzaBBP/xhLy7oTT01UheKAoSwI+zCU27Qmio5T8z +0CNEAGfezf0tHUzD1XfKXg+GCuB3tPMKCCT+M99ve0i4AJwYGjFBh2lYtNRw +7E+EAEY0ooRzD9HQhK76OCGSzGOTr4EogIbzpGenKBwVwOKlPTlx/jSsjtkQ +nxMtAKMdnxSND5D375/JWnyc6HX/sSuDfoRPA8PNZTEC+PUzfUGWLw3Vj5xQ +WXeSnL9qBHb7yP2FK+ObTwlg9JuLzx9vGhawVGVcYwXgnDKmWLqXhua6Oo+7 +4wQgVFAWeO6hoZpqwJFDZwSwVvlRprwX0XvX++3jCYR/xk0B9bsJX7mnXeLP +CuA9c6tduAcNc/U9g+TPCcB/haPRol00/LYzrCjnvAAy7eu0W3cSvaY1TGmn +COC/bzeWnHOjoafOtqCKCwSvymFjsx00lAibI2ZxkdRnU+Qw7Er0VLnsHu+S +ALxNXwXfcCF8dDh9ZNdlASQsc8xzcqahVIy658d0AWTj6rbpTkSvmf+8I64I +wDj1zJynW2m45IvuGYksUv8a/SB/RxouZN9pTL1K7vc2Yatv+T+fwufNzib8 +KMwy5G2mYbtvWvbdHAHML9hWeMqehirPpxutui4A3l8vLaNNNJQZ5A415RH8 +nZ/fG7ClodiC/6qcbwrAyzrMPMuGhg94h4t7bgngWGRYzyZrgtcKuydBBQI4 +exaT/1oR/86P7/5bKIBIdVfLh5Y0PBI8Xzu5iHxPZCDlY0HD2q8LUtSKBXBi +q7Nopjnx3/0X5IrvEn9f9fTuq/U05OvtfWByTwDfdHddOLaOhsbZeYdelJL7 +RWYxy9fS0OCPvY3rAwEc5eyM7FlDQ+6NA+v7HxI+4YPj6aY0ZHT+dgkrE4De +VrMUm9Vk35CYSpQoF8B+rb93Jk1o6O4T2Xqpguj7w3d+6UriJy6HrOc9Jf66 +eIbEXmMa7l/QKXxYKQB6/t71Sito2LyIE72hWgDs8feJLw1puOLRGnNBDckb +3on30QY0PDpz+cI9tQLYzbExXa5PnhcULvoPiB9nrSjoWU7qLy/YeKqO8Knd +QjVjGQ0vXVkWK1//f7yCr9rqEj3etOi40SAAQ+/qBVM6NNy8cNDZoEkAq8bn +1DxYQsNNR9U+PX8hAPPb2R4+2jS8/l9PttMrAVyYuZw+azENQz6sO9TXLICq +76/rWAtJHlwxcg9nC+Deh3NxJxbQ0Cqk3leKK4Di5K3bDLWIv8K3C1d4ZJ8o +mK8zOI/k87unbxcLBOAp+CdzbS4N98ppmVYJBbD6We+UgybJo2qDZ5teC2Cv +Imds2hwaNiwf3NXxRgBPT1f+qdAg+8pzC9XAFtLv40JmgDoN/72y+ynWKoBZ +rpcWzVEj/nH179dLbQKIVTy6WaRCw2UX9kgueC+Avmz3mIRZxK9/hps86RBA +bbZRlakyeV9nbZLtBwH0100T/65Ew9S4mvH2LoJ3Vf22fEUaprv8OHO4RwD/ +jMLv75hBwxdjffrifcT/uxSVpRVoaFufNpHWL4DtAXln6+TIfGjTuhcOCuBJ +vBIlQpaG5QsM+iuHBKD9IfjCEhmyLwctpGz+RO5fVDbvA5PwY233xq7PAuiQ +bcE0Bul/0Cc/9KsAbGzaD9jQiV6byuZQhgVAOf1MY4pK7lvOf3r1O+H74ej3 +Dyk0pMXUBC4bEcBmUCj0lSL7JTXa8vkPoo+Fp46qTadht5bMStefAjju2uDG +lyB81Y+0/vRLACLxNov4aWR/OVEdHvOb6KMdTFaL05Aa3FanMCGAlxmhJsP/ +qCizvUXn9qQA7AdHzPP/UvHkxcdlplPET06a7nCboiI3OMyN/1cAU8qbImX+ +UFG4U0Vjn5gQRrzm3KqfoGJ0bsHfcXEhPJareBc5TkXfLLW/KRJCCHnPVFn2 +m4rzi46raU0Xwp2ouT69v8j7s7mulVJC0M/9rzLzJxWP7JZ94EAVwkKxaFWH +USoOP7NY1EcTwqRLdbzEDyoOZhyqiWIIIdj1weTT/6jIsboQKCsthLyn248d +/k5Fntbd9QUyQhg0vE/RGqZiZ2r9clM5Ifw58Tin9SsV//S0rRHIC+GD8761 +F75Q8b+IH35+M4TwxR8+Wn6mon6x7MMpRSHUHsXrEx+p2CrUn3V5phAczXy9 +HgxR8f32XTlLZgmhM6BUx3eQimKJF9fXqQhBAjPE1QeoqNMsEt+hJoTsH+o9 +gj4qLglZ0P1NXQgduJaT0Evq70nsjJ8thE0948/NeqhoEC42oa4phAoF+/of +XVRMSUwxfDxXCKulDbl3PlBxS8SKc5vmk/uTS3o9O6mYe31MrFdLCKUOFRIz +O6j4aE/L5aMLhRAg7bCM3U5FvlLLRoXFpL74YO/TbVQ8rT4+s1hbCGVhs2+Z +tFLRR7huurmOED5mbPv6rYWKv67ck29bKoQXdxjmBW+pqPLSck3IMiH0+1vf +cH9DxbZ6SjxdTwhLMyUYCq+peH3g9+eb+kJgD5udeCmkok2qarCpoRAc9Ean +YgRUPD47UPG1kRASZmklrOBTcdnI7zcHjYWQ4sdS/cKlov/+qvLpJkJofT/4 +9CaHima95WW5q4Qw1+TIHjc2FT/UfOWtNBVC6KojinIswpedPnTBGiEsuNEv +aHpFxU8z1b391xL8lmPW8ZdUFN+h3CaxXghphZIHjV5QsTt8R2DOBiHENj2w ++dxIxf433fNWWghhw9bny282UPHu2/JRvqUQblNXznWrp6J229s+/41C6Cll +asg9p6KdmfUPSRsh7JfaMP8Fkvv20TSv2xL+CQSGMUBFwf05Aas2kXm+rnFY +UUtFq5PnX4vshTAk+Bf6pYbgbbRt12EHgm9y5q1b1VQMNAidRnMUgqg5rmNn +FRVHWv5rurVVCA0Oz+cqVFLxTSL/zlonopcOh6BXTwg/C+XvtjqT+tcsfnWy +goqRF580h7kKYaee/VKTcirG32ugyu0QwsOYp1nDZVR0dTfdd9eNzP+rv/zt +R1QsFpvdtdFdCJbme9J2PyR6nDwc1bNLCN8ssubMfEDFm4/09GN2C2H0qVwF +p5SKzmf2UVS9hLB1f6Nr/D0qvnsv+6d8jxDMVcrFzUqo+Hmmgew2b3J/WkfF +aDEVT13hrv/mI4RDuWsiSu4QPjcMpib5CuHmNP46nyKid7GT/xbuF4J/YvoM +9dtUzCzNOl9/QAjxv5P+ExVQMdxgpYlXgBAm1Epbz+VTUTSyc9rUQSGo1Pxh +Wdyi4tmtlM9Zh4Vw5mbYy8kbVLzzZO2IcZAQFmfN4JXlEb7HSsx6HSyEFf4t +HwKuU/Gqxo5dwaFCMOh6NjE/l4qrv6wFmXCCR2PDnPfZVAzYWrW+JILUO/DR +4fI1KqY/ZnfZRgphkbROov1VKjZHRV4fjCJ6n36GJZlFxVAqHouPJnzP/j3r +2RUqrmgsiJx/nOCdfTIoPIOK5kpL0+piCP9EakLddCpO93Jhe54k9cq8NBtI +o+ICupbW31NC4KrEluVeomLCiatXs2OFoFlvZ7j9IvHPOdXLTeOFYPhO/Zls +KhUbXRJ7W88IgbpozPFlCrkvQbIiMlEIn463fDuZTEUpNYPbyklCOHi3OmPV +eTLvozOeVJwTQmDMDZuRJCpO0u/2uyQLQbXpjOTds1SsNZg0+JkihK6tB5q9 +E6l40UPq+uVUIZz6b+NV9QQqKgxztY0uET6HaYS9iafirW3bRaI0Idwo+bQ9 +JY6KO7/fuBaaLgTZAyVW1rFUzFv28PSMK8SPo73MxE4TfkUkJJZlkuePJddV +nqRiqf6ie05XhbC+P8Mu5ATB99Wl7z+uCeFol6KXTgwVh26xt13OEULdkWMn ++o5R0XJ5i8joOtHXcVZRTjQVjwoeh77JE4JUw79216NUdBv1M4i4KYTo2coq +clFkfv9GZJXzhTDmKev16gjx3z07mE8LhPDZfeDB6QgqOp26usjtthCUB7IY +a8KpSG2u3jNRJIQo4aKgnwTMoMLaqmvFQvD5mdxZGkL8JqbAwKyEzHN+s+v+ +YCpG1IW86rwnhMP6be/mBlHxxpvFJ07eJ34yWu3TfpiK87SbneY9FIK1+aGJ +y4eoGLvQzbrhEen3++csh4PEL43fufk+FsLJ1yssqAGk/ibbc9QKIWxutPlV +d4D4peWD9uInBO+seWXR+6k4S1lm0+ZKITAX1UWt8KNi+YN9rcNVQvhhNc9u +eB8VX0RWnrlUI4QtHAutOz7EP98znFbUCoF3eT7V25uKzzZ6rn0HQtgbBj/V +91Jx9uIKm+g6IdhZKn1960XF7M8KIbPrCZ865n1L9aRi4p8jVXUNZN7KA7/t +dlNRlzU4d1+TEI6xd0lP96DiQySqfSmEa2/idMCdivlb/ttc8oqcZ+5yitpJ ++Nh9QcGRJYRmu644Qzein17zXz/YZP7+svh1O/Gvl8zxK1whWFkPSha5kv4n +h1XX8IVwsWqf014XKj4Z/ObeJRCC8HriXXVnkq/izJo4EZmPcLN0yzbi12W2 +ptpvhHBFtyzy4lbCp8PFrZy3xC+SK75uciR5dV3vSsg7IehxXQ5KbSH8regM +VW4jec5KGcXNBM95TwJr2oWQ6u15JtqeivWuNUl7Oog+gxvnGm+iolfV9wap +D4Qfr2ubvtuSeTS6zi7pEkK1n234XRvyfvf3jK09RL90b11fayqyY+uWjfUK +4fhV2rDmRirOVWX1Z/eT/ebn6qp2S4KnklyN+aAQwidHUzIsqPi699LDoSEh +vD+74tBWc5L/ky5NKZ8IX05OODM3EP9tcp8w+iIExdoNG1+soyK9qnBz+1fi +x/NoG06vJX5htwpPDQvheYqDlZkZFc99UNq2+D+SD92yTr9NqagxulaCN0Lw ++GPnX7aaiko/K0Tho4SvMJV0eBXJl+0n69V/CeENY2G5tgnZnxJzhPVjZP95 +XjfUZ0zFrr9y4gHjQljexF2Qt4I8X9rhoDBJ9Dlmd9DdiPhLrGRN5R+SfyZG +NTMNqegYetZmz1/ihwcTlYT6RP+hh0epYiK4F24VmaxHxZej5fBAXAQXjQ/0 +2Swn/uG3t3iHhAhSL/3nJrmMil+sIh6LTReB2qH372ApFd3//ugokhLB+zuL +9kTrkH1MqnPhVqoIWEsFI8ZLqPiNZ3xhnCaC2W1vk0cWE30LxZRvMkTgkmFs +ULqI6OXE2lo7aREs2fjtw4GFVPxqPxL3Q0YEt7mTGQsWkP5LZgdky4lAXslj +e/d8Kh5WagqyUhDB6F/ZuTnzyD7y51P6txkimBeiMLpjLsmTNxfariiJ4K7z +Xr6iJtkPZj1Zu0FZBEPnp8r5s6kYZez9/NMsEYSJ9+Sf1yB43M7Yd1mV3J8l +nWOjTvjX67R4rboIdExjciXVqDjHPYc+pCGCTq7+HVSh4nhiOPPSHBEMmC58 +dmwWyaPOTt01c0Vg4O/WZqJM6n3bfnhgngi+bngl9lOJimN9h3mpWiI4dzdU +76EiqSfu6hbThSKovuB64NAMKlZq7RnuXySCiJbAu9oKZB+3aCxN1RbB94Bn +v/rlyH7q8irZVIfgY2y26aYs8TN+4PmBpSLwmfu1aLcM0dOy6uKLy0SgPpMl +qyZN8nzg3tAaPREo/nt9ooVBngfabRzSF8HbJup4Gp3o0SKtPs2QzGuHT7Qj +jYob3iZ5rVshAnpuv5Q0lYodtw01PhuT87FJ115JkX1nUep4hokIZv10XHVm +OvEH4c2f5qtFkNth3GUuScVNCw7LD5uK4IT26tR/08h+cWnU/pqZCJiNO2xr +xKlYkWlSZL1OBK3ZqYwoMbJ/3Vszf3S9CBpzPrxd8Y+CY5skavPMRdD72OLu +yBQFXb+kRG62JPzjVSXe/0PBImbPtgkrERxsNw88OEnBV5r/7G9bi8C5qXW3 +9gQFlxYN+TrbisA35vj2gd8UTFS5kSe+SQSSIzput8YomPF9yUSpvQhEsr3e +Xr8oKFWUGLrLQQTlTXlHNH5S0Le2hkl3JHyd7n257QcFo4peNT7ZKoKTNYuq +roxQsGTwYe4+JxEca/sy5PwfBQ/9d+TKDBcR3NjyQFPhOwXjLWc/qHMl82EG +7eF9o+BNj9tDgTtE4Ci25O75rxS0f6K0YfZOEXxRfz9l+4WCt9gBlWx3EXRs +i3OjfCbvq5ZsjfYQgV2aZm3DRwoOz26lLfEUwU1eqc7pIQpecPrZ/c5LBCnj +S2+uG6Rg3kqJtoS9Ivg9LWvuVD8FJTZOHzH2EcHMzu93qvooWPFvSntgnwg2 +HTcwjeyl4FD78Kl0PxHYi9zfrOih4DTPjnHLAyL4K/SP/NFFwYZ/Ly+O+osg +PdBD6+EHCipuKLfNPyiC6Gz91sOdFJTMzp/rfFgEuzf3ZyztoKBZepaKZBDR +S0SEx6d2CjbdytB/HEzwZvQuLWqjoJFd7gGfUBEEimlP922l4HlaWZ1iuAjE +Nm0cmP+Ogu93taxqjCD6/GDC735LQWuQFoZHiiCr7O/z628oqFa5I2nhUREY +1aTXerymYN/zqr0t0SJYMDz5XE1E+OJh7J54XASu5sv5rQIKbmZyQ1edEMG3 +u7oDV/gUFNrElXw6Sfxl3k9JVx4F3TLdp2efFoFeduxSRS4F/cNdYzbHEf3I +tewSsimo43dE+V880UvE1/RUFgV3fkT+gwQRFDY0tDg0U3DZsRXFe8+KoOLH +znnSr8g8brfcUjwngoWT98JZLyio1HvnWdN5ESiJqgVnmyh4rqx0LDKF8Dn0 +tLFNIwUZ14a26qSKQPvtv1tSDRRkqe1kd1wUAY7oqzY+p+CH8ul+qWkiaHg+ +Myu2joLmX7/OtUgXQeK6Ek1zpKD4eqWpnxkiyN/7/YEYUPCBfszvokwRfFrQ +bQvPKFhuo6O466oIAmKPfT5eQ8G10+Y4ymaLIDwc09dUUzB8wL3keY4Irvwq +tpmspKBCcN/iiOtEv+KrJaueUnB0SXWj9g0RXLgY8DLyCZlPes/pjpsieHTD +LH1lBeGjgYfXxXziX7ql/r8eE36c191tVUj4q1dtU15GwbsqrsfGb4ug6Pbe +5WGPKPjLv7Xq3h3Sb8rN2YYPKWjyp1Jl713iJ12RM0fuk/M7JzJn3hOBf3bv +zIelZJ5iOSasUhG0PeuaE3SPgv+juLrjqfy/uO54LmmJ7BUpSQNFg2hJEslo +KHtURKGkpYEiLURUNsn4SiRJnaMilYbcfe1sKlEU0u/z+/N5fe7zfM55n/c4 +t+9Y1u+wBw2wa72/3tICFv63UVqw/CHR+4Lord/yWNjW1y/oLWmA4wf1/Qvv +s1Drx7LxlEcN8EDCK8kvl+Ap7DC2f9wAc+nq7xfdI3rXn5oq8aQBFju4SfRn +s3B+cOZcqGiAkMn51nlZ5PtLSl4FVxJ/+ut/+0AmCzW+rLmk87wBDu0w+qGd +wUJUNPNrhQaIHj9t05NG+LvrxeGEKjK/32Zl91JZWK1VfdPqZQN0bDmj5ZPC +wnLWVhGtugHGvhncnX+X8D/Ccd2TGqK/HheVrtssVNbqex1Q2wBuhmI52cks +rDsiHjD/bQOMCGYbeSWx0GCgxLDpXQNIsG9+mneLhfEa31Xj3xP/0roY2JHA +wq7EygVbPxK+fOpQzrrJwnkcVVtaPfFLbsFHj3gyXy/5208+E72saorWjGOh +6Zt85hF2A+SNBVl/ucHC6bGi69pc4m8qAYqZ11kYuynPuJXXABZZdd/cr7HQ +fb+ixC0Bme+N6HcaV1nIil4yYiMi8+jNedAew0LZxb108aYGEP9PLSXjMgsV +W6z0sZn445ehOPdoFm7V3nvueCvxjyuqsRpR5P1YhR/L2ok/PEi71X6R+Hf2 +xXO9XwhfbULuZUSycNW3XP2MzgaQO5z23D2ChaojYQyn7gZ4KavYrBH+//pm +jkr3Ev+xaGd+OU/8b//uqe/7iN9OHV2ReY701+u6NnKA8MPN0d/jLAsr7LXj +TL81QKnd5H+aYSxsXvZQ/M934o/dA6NfTrPwzqwpqQ9/ED+dq74l6xQLpY7K +OfoNN4C/REKG50ny/HN08fxfDbA+24qhdYKFy2Znz28daQD2+Dr/zuMsHHae +a5b8m+SnTHBrdgjxc6+AE/ZjDeDzq3WP9zEWphTf4MyYaADFe5FN84+ycOBD +tO2bvw3Qu8xjf3cQCwu37Pt24V8DQHLw+L1AFt4ulSxYO4UNVQPlCfuPEP7H +3Yr+Q2OD9dIlqxceZuHhUCq6lMGGPwc/d/b6s/DJj515ARQbbudmJuUdYuG3 +qGv9OuJsWPMj1cHXj+RJfdG2Lgk2aFhXK+j6srDW/umndEk2fKqV6ho4QPwo +tTR43/T/f+9CReF+Fq5Zn7JKYSYbEtfKJ/r7kLx9f0KNM4v8ftuHk0u9Wfj+ +rdX8G7PZMCMzc/+gJwuP1Mlab5Nhw6BFwr5iDxYWuYkSJGTZsM0ya0+gO8lP +2btiNXJsWP7wnYuBGwvVTjhfPq/AhpHLUw/9dGGhjZqGkakSG+Z8cT7/yJmF +g3F99All0u/LmtRj+1h4xbviR7kqG26tNKs22kv4vDBe7Jg6G9Rs3gz93kP8 +2ffEMgMNNthKu2pX7GZhVkXAuUFNNtTdoHmf3MXC+rxjw4VabDjI+y/feCfh +e92NSN8FbFj7w/3PXwcWVha9XL1wIRtuDCjbgD3xny8zZnXrsKGPKyw4a0f8 +4M9RKluXDbTnybPX72BhQMS4iscSNjQU7TlLt2VhtnyG49xlbIiskB95ZUPy +d73fgxY9NlwY+BwUac1Cy4S9i1IM2OBpf/HP5m0sZOYcfb13BRvoU5ZflLAi +/jWlIlzJiA1+U3jK7yxZ+MVE10O4kg3dnv4VMVvI/jP4wT1pNcF39W8XawuS +Z1lZF3YZs8E0LnD6rM0sDB8uqpZbS/hyWvSifhPJy0PD2jxTNqRO1Tsbt5GF +OdlHChPWEfwtj2xy2ED8ZdliO8cNbJDZljxbbj0LX6ZrK8puYsOseXndfDMW +3rzqTeOas2FRa8qrZFMWfo3slUywYENK7LH7e9ey8K9aqaGjJRvarZYmqJqw +MP177XlZKzbcUX8d3bqG4H1ZZ5C7jQ3lasYXM1aT/IoQnUm0YcPmvTGXPVex +0Da4eckuW/L7nkeJ81eycN23FWIKdmQevLL8HkMWzg3vGBLYs2F49ZXXeSsI +Hz8OULcd2ZA/36jfbzmZj4et8d5dZF6FD2WXGrDwFF8mTmUPqf/L3y0/9Eg+ +V62SbHFiQ6VQNqJkGQs/PHqRlbaPDQdyx18fXUryeNtDF3cXogfXvNkrl7Dw +vLKk8Tw3NmjJzvUa02Xh3ScfV3W5E/yb90HlIha2PqXtzvUk3//oPDdMh7z/ +NCfpoDeb+P/cy+sWstDN5vm47n4yv9DsCbo28fvpVmHfD7CB4dx9tGY+uf/6 +jnkPfdnAed45ckmL8PcQuy/4EJlPcUrY1nksHFrD/mwUwIbtVrNmzdBkodNN ++8axw2yQzV6Z+2kuCyOld7GeB7LB6vMcizh1or8tbXbngtkQ3pf93UGNhZvY +Q1Ubj7HhCqM7RV6VhdHbrtmKH2eDlxHPQaRM9iPLJ7S6UDasSw6WSVFiob9P +EOfaSTZEbXwmdFVkYb8JvrE7zYaubUW5mgrEbz0yWuTC2LDwg8WZLjkWaoYo +yzWeZYNL00Wn+7Ik36bpHU47z4YPcQfN/OawUPSyvc8znA29Et91l8qQ/Wv5 +8osLI9ngvEt67tBsFlaNLtj07SLB7xZH+ZEUC7cX4LySKNJfu4H68VkstOgT +m3/8MuGLje6iNTNZeGNLv4XJFTaEjVWaTE5nIefg+Su0a2xQnfiys2oaCx93 +1g6/vk7O/VNDwyWJn+6sOnkllg2vfL9mbJ5K/GWfv5ZdPBs2zqhrmCpB+Hvl +86B8AhsuHV417QOLhcnRg03NiQTvQgOrGxTZD3rfDmQlseF6S3mcPZOFZ208 +VXxvsyFA43W7HIPoxx4C9O6yYeuNvatENLIfxzd/GU1hQ+nmkMSUKSy8/9+r +0OdpbAh2m/PXTYyFk8bBehEZbDg/tvyg1j8Kf7R8n2qVxYbpS9nNPX8pPKK/ +mpLOYcNJpR97CiYoPMlx0BTeI/g2RjUHjFP40mOTe/p9Mp+rdw4YjFF44JTk +y/35bBi1XjAx8pvCG5V5m5YVsqFxtXZCxSiFptVafaP/sSEj4K7RmREKDy4P +ewAPiD6nRrSu+0XhtZwnty4+ZIOvTtN15k8KjZ7zMmxKCT4DmRZvhigclmn8 +IFfGhnR/HuvKDwqrbN4otz5mw9ePRz9sH6Rw9bSMmNwnbHi75PQdme8UavXs +Vz3ylA3MvP4j/K8U1kSqf171jA33XcH6zgCFAeff3aMBG/qPjOi79lMYG+6X ++g7ZsPLvVdV5fRQWalFP4l+wQV/jolRPD4VR4rd/7nvFhjyxJsmCbgrPfFi8 +Y0ENG3LKr04/3EWe5avqB1+zwf1gsuzyTgrVL+4MqnjDBnPDyfm/vxA8KoYN +w98RfIzL11a2Uzhz9y1l6/ds2JRas+9sG4W/xCzmyX9kg9GZBeEbWymst2Va +t38i+hznF4u3UPjxx+ekgs9skDMSdNU1UbgyrIQVwiZ8tZ+veaORvJ96P3Ed +lw3Pg557O4goLB5+vGUanw3zy1OLFYQUmmu0qfAEbDi1oZbezKeQV7NAJkNE +9LPScF8Gj+ATc1X3UBPBr7z7mTeXwuez5X1WtrBBp0eotYhD4caxmpf0NsKv +3uk3vzdQmPD17vqP7WzY23JGsvQzhTKXUr8kdxB+f10Udbyewn/HPuR4d7FB +YaX0DJNPFN7fuThGv4f4Wbt+8pSPFFbUP4+b7CX8mBm1uOY9hfqXIp697WdD +YKd0bXQd4d/ccInEr2wwu1h/wOYdhW/MnoV4fGdDkwLOlnlLYcRVA/FlP9gg +8aLpBb+WwocFvRUTQ2woydI+cfc1+f269mtvfrJBvDtlpXsNhTZDahcTRtiw +57+1k/OrKdTwzk7z+M0GQ3XqXf9LCtPXH21cNsYGR/fhlAcvKAxZGrt6cpwN +WcmME0erKMz7OFnx7i/x/+9Ge1cjhZ3vn+1L+seGoMjLm/49J3h8qNfwmcKB +msi/K149o1As1GTqCjoHOmRjFkdVUng2iC5DZ3KgZN8KXeunFL73mW9WT3Fg +8/lRPekKCkPHcq+minOgPf/TWn45hXGcK/8OTeXA3ymw4+5jMo90XqzxNA6Y +FOAh9zIKR2lRFpIzOHDyc8O1BY8olM/NUhfO5ADeGSkfKKGwXG+x0n0pDqwz +WNBb/JBCho3WyuPSHAh47qEeUkzwzr4WsnkOB9q885yNH1B4ocVfICvHAQ+H +P5lTiiicnlW9r0ueAz8fWg/WFFIonZ7AKFPkwNPc3A0xBRRePN3xPkKZA0qu +zBTbfAqz24qfOKhyIJXm8U82j8LzoVNqtdQ5QKsAn8ZcCj995/z+NZcDhg8U +eOn3KLzcq2dVo8mBXTMDtvnkUPhMQf5FghYHyqc8f6ubTfrVurzHZwEHGooZ +NkOZFDY+vjJn5ULye8t1wscZFO44ozEsvogDC0aO+J1Op3DuXKthgS4HrFvj +mRvSKPSwmS6bv4QDU5fnZounkucH+51OLeNAnXKe1Ye7pP9fri+36XNAr+bW +WNwdCr1f/d6mtpwD1N7Aot23yXze648PruCA5dQVvmrJFK54LvXuhREHFv1t +Xtx5i+jN9Naz+FUcYLj5j+YlUpjzr/az9xqCn3vb68MJFGbl5UxdZUL6X2KY +aniTQslBAy9JUw58GDx4eiKOQucTQe1NZgR/3mn3F7EULhrzOf9gPQfCZx2y +vnSD8FVRZtOFjRzQrzVcZ32d4HnphI6jOQeu6QpWy1yjMHj0rv5CCw4E+e5Y +I7xCoWDGuX0TWzjQ/zBtfVoMwfv8/PyPWzmgpfdiu/dlos/J60qZ2zgQJfPI +SzeanC99+d8xGw7kXQ45N3SJwrA34GlpS/hYzcoqv0jhqZAoE1U7DjgMerw/ +E0n85qvGqiF7Dgytif67MYLCbZyrO2scOWRfPb5cMpxC/7aPt5J3cWDt0OLA ++vNEH1U9E/57OCBdea8s8RyFlgsbL2zYy4E3nh1TnM+Sfl4WLJZ35sB+5Xa7 +eWFEb+v3jQ24cEBTOrWg7zSF9rsHe6vcOOAeqjCt+BTh36P9EwkehB9hNoEh +Jyk0FH+j5+fFgU5H0xaTE+R9SiZ6nQ8HhEu7dzBCKfy6z4opd4ADZWs2vX8b +QvLnZXDmwEEOVOXvtL5xjMKxzmueL/w4EFqszN15lMIvx9IsbvlzIOJMrKdq +MIU6Ovdt/A8Tvm98/KcjkMyntCB0YyAHVAyjbuYfoZD1orBGMZgDzeHUysDD +xB8kiwx/HOWAs8fitpUBpP71JW9eh3BAmzFx/d8hCsUVnoWlhHLgd9LhzTV+ +FP5d/3HX0ZMceLQzinHFl+Rf4IC91WkOBB/eWGt3kPSzTy5YM4wDx+XSYhUP +UBj+eEfZ2FkOLD+b7NHmQ6GaQbrS5/Mc2NistybXm7wfwcy6H0744OWpEOBF +YZrbeZtzkaT+LcsmV3hSGH9GUXX3JQ6YQVzvhDvJh+ufZupFk/mOxYheuhE+ +br03TyKG+MlSRXa0K/Evn/S9bVdIP3GrGmxdKHRIqHr85BoH2Ht6+fLOFApj +phrG3iB8q1jQ2bKXQjNWGO9gHAfqe4ZGc5woXPpo7p0NNznQp7BFyn8PhRPW +vy4oJ3LgxQVtvRW7KaRFT1z9dYsDUnuv7ZzYSfShvvrZh2QOAP9k+EtHClNf +PJiRe4foY+nA42gHCg8t8rhwLoUDpYnNP2ztSZ5J2ys5pXEgy9xWX8GOwjt6 +kdzlGRywClof2mpL8m3VROmMLOJ39g9q7m0n/tFRXtaTzQGxuUmKATakv+/P +RS/uEf+aNR5saE3el5Cad/c+ByR2szl/rSj0/VF8LSSfA+YGmibVW4kfOmep +7ijkgB+3My/GkvBLvP+TbhEHbE4oqtlvIX5871IOq5gDXY6QpGRB9o/RsNT2 +h8Svsj4rfjGncHthw9NnpWT+yTsy8jZRiOGR47fKyPyCTJYFbqRwcuVt5+By +4v9eN16t2kBh9DmZTpsKDhTmW7lMWU/yWf7X1UWVpN/Th8TemFFY98R0L+s5 +0aPM0L3rphTuVB21+gLkOY/vsGstue+fihtUEf6Fqk1VN6FwXP7xrdsvSR48 +efWqew2FPdrVwyHVHJDProkoWk1hX4dloP1rgu8xzW0hqyi8OW2rjN4bDmzZ +L1A0XUnh1l21gunvOLC0tOsbZUT8J7L6RV8dB37Eb3nzYQWFU3Zs+vj6AwfW +bxLLS1hO4fWjlv+yPnFgipjEDWcDCucV8Xac/0z8X8z9zHx9Ctc9+f7Ghc0B +2XMSgd+WkXxyuOlpwuXAv2d/fcuWUjhn5TsNJT4HzgwZ+51ZQvJVK57xR8CB +DXuqA80XUxgoGJLgiYge9G6GzdCl0Hpmn/6jJg44luTFcnUozIw4FRbXwoEv +yoyClIUULhkv+H6kjQNGeanvvLXJfrD4zIXtXzjQknjyx5IFFE4VDa1e2smB +GxoJKqNaFM6H6bIzujmgc/GrDcyjkH27XuZrD8GHdvbSRU0KRUvXGdX1ccDr +89bXNhoELyOX0/kDHEg2sJkmP5fC5uAl3dHfONDkcWlnqxqpJ6c4+OAg8Yu0 +X7m5qkQ/l/q1LIc4cE77ptgRFQrLWpvHFv7kwOuVXs6rlCmUO3h1WGKE+NtM +zxdTlAi+PRMz+0YJfgPXdN8qUNgvv3j72z9Ez9O678TKUxj5dG5p3jgHiv7z +kXaSI3mY0LTm8l+i39mzrmvKkvvdPbp9/3HA7ljz7AEZcn/PozKrKVwoU6i/ +XSpN4aMO3v3FdC60rOnSOT2bwneKdTiDyQVbZWXcJEWhpuXN8e8UF0rHDjvN +mEX2QSPDPfXiXBDJfpngziB8yypufDiVC1UPDmelTid+ZTv1Qvw0LlwVl9+x +fxqF38Q2bDs2gwuxzjymniTpL9R5za5ZXDAfLoA/EhSahLhsWz2bC1tZiWEv +xIn+XlpcUJbhgp8obtNlFtn3VFWaJudwIf1BupQ9Rfrb0rKnTY4LjNrnX5SZ +JG9nxE68VOBCs3vv0046hX90V77IUeJC6gu15P9opB4fdn6UCjnXdj0TMoXs +4+EHnvipccGVl7vfTIz4s8VYn81cLkjO+r1L4h8TJ4KjzAw0uTAqY2Xz+S8T +f3xWqJDVIr/Xztx6e4KJ0xb8t3NsPhfuxYxv8xxn4rj+FoVmbS7sC7dzXDzG +xAT8OlmlwwWjHfc9R34zkYpNEc/R5YLsqvHjMMrEzb7OhtFLuPDv5Oa4SyNM +/C237JL/Mi5oOceU2P5iYssu2ckd+lxo0qgVKP5kYuCo9C2j5VzInf6H2THE +xBcVixyVDblg4K6ysvAHE396u66cspILlp4Gh48NMjHnVenarlVc6Nm56j/T +70xUur3owLs1XNA7t3hI/BsTNz54/fiBCcF33gzjzwNM7Hx3WSfBlAvTIwWX +b/cz8frjE1Un13Ehv+9Km2cfE7cYJp5y20DwSVxosqSXiTtlO5w2b+KC3Ke8 +lNFuJtqoeLos3kzqFc6kqrqYOF9a8aL0Fi4kTzgGRXcyMRLEG/5YcqHgxJku +uw4mnv2qv6HVigspyeEuKl+Y+NjzNq/GmgvqGT7NXW1MfPB94/XC7VyQ4Gl5 +PGhlouYu/UPxO7jgHPbsa2gLE8N8vP1P2nPBtE33zIZmJha3fYlzd+SC2IZA +melN5P3bhU1bdnFBpv/yA66IiSaONVv19nBBUf34jjQhE9W/LGuW38sFrvaK +sQMCJhpTg/FizlzQt6q6Z8BnYvlV6nCPCxc21ys6/eUyUW1jSMAnN8LPf6Yy +rzmk3t8b48o9uJCmsrThOpuJDQGBojQvLnwK6krc08DE6BCaRZQPFy5v8XSf +95mJD5tH+UcOcCGrK0f/2ycmLghwuLrHlwvKcQXi5R+ZOHVYZf+GQ4QfiUEd +5z4wkbXG3ls3gOhx9Vj11vdM1Jg5fmnOES501qwtnFNHvm8259NkIBeqL5gm +t7xlotWt7DU9wVxYXTEWc/8NExld/72rP8aFxSX+EUG1TJwcNTj79DgX8h4n +XTB5Tc4TjXZnn+BCx6wTF1k1TExNqHS8dorwSXzGjfpXTHzyovp46BkuKHTb +pd1+ycRTXQ7gcZYLxqNbHnm9YKIqO0DH+jwXvM9/+7i0iomiXbIVK8O5EPPZ +dPAPMNFuo5W/ZiQXavSMZV89Z6Ktl8zmGZe4YN/Xtu7qM1LvpSMb/0Rx4bb5 +0qBdlUz8dNbbu+MyFxbc0MjTeEq+pzRS8PEKqVemomvgCcF7gab802tcGFP6 +qf24nMw3ZPBezg0uSA99OHzuMRNDea57Y+MInu0Wz7eWMfGyasiKMze54GTk +KiX7iOCnYGhwMJELZibSB1tLmOiSkObgmET0aupam/eQiWv3P7mz/jYXAqM2 +6R4tJnzyvCC+9C4XdvlU3TR9wMR2hylJSqmEP1qfGVOLmFgtZWgtnk7mM+NY +KLuQiet85mn/yuDC+OH84ZQCwh+dj/Pbs7jQlng46EA+wXfRKsuPOVxY9Onl +b4M8Jh409YqtzOXCXe/MC5O5TNRd6fjvfh4XVHKny7y5x8TMzhk3Egu48LBN +LC8uh4lJqrGbI/7jwnXXk5ucs5m4v7RdI+gB0WPgyS7tLHL/Sbqm20OiJ49/ +McMZTAzeMLrZppQLfeeZq56nM9HpC94wKeNCkUpM36U0Jh5d6iGmW86FxnM3 +0u1SiX/8aY1TrODCqb/SzqopTJRQMrGSqOTCi2Yp9d47TOS7n1j4+xnRY3BU +d8ltJkbcu72oG7jwXjK09Ewy8avKzB3cKqLvn82RW5KYeDf0Zkr1S+Ivp584 +y9xi4q7HQTMfVRO/+0kZtyQQ/1i/LjvrNRf886pV824ycfeImGv8Gy58Hxim +jsYzcTj7kWn4Oy4IJa//NI1j4q/F7huD3xM/crzVPTWWiaW7Jfw9PxL/V5Fs +5VxnIkz9r9K+nguF/3U1pV1jovwsu2WbGrgQ5bSwzfcqE59ZjNeu4BA+BdX3 +Gl5h4vSw+5HzeVzYsLlpdEoMEzHB9YCcgAv352+VfB/NRH1PzSPiIi44uivM +uxVF/O3xz7t/GomfWpqv97jExDtBvO99zVzQ0PvkteQiE7UOfvBubOXCgNej +q38imJh8tJH2oZ0LVqt/Vr4KZ6LjIcYr6OBC8L/owWsXiJ4Wbskr7uJCCXV8 +odN54geRhY8ye7hwJv2Jz/xzTPy6a3nXzT4uHJlrnf8jjIm9p1rXXBogfsQ3 ++Fl5holdb0vLTnzjQrvcgfWXTjPxn3Kp46FBLmzSH7hpd4qJ963blFyHuJAQ ++vSb6kkmHjI0pex+knrNOFZ9oUz0evhpjvkIF3bzjR48Os7EoqRblqt+c6E2 +vk3+XAgTR94kZemOET3Wfoq0OsZEmgpPU32CC9uq6WNyR5kY5G9XKz1J8q3l +eOCXICYqJkrFssR4QDuwZPC/QKL/YzLnxqfwYOiRRtCJI0y81uV88zudB74K +9uObDjPxZNXwhy9MHvzqwktSAUx83clZzGfxYFWgj1LTIeKnS8Uf1knwQGKm +eUmuHxPLTlxxqpLkwQ4pp+3Bvkz8nrlfp2w6Dxa+zxoyPcjExRfvqObP5EF1 +wtxkyQNMjKPrrkyT4sGpFx/NeT5MPPBLIeSmNA/qsgp/Z3iT+lYfEEXP4YFD +7JMify8mcoqVvc7K8YDf8sN3tScTb600kjmmwIMV7faLKQ8mzsx/2uOrxIOQ +b63D9W5kvj0F7W4qPHi1Ox7uujLxdMN02i41HviEHrp+wIX42fo2c+u5PPiQ +cdB7hTOZr6pO8UZNHkQsil43ZR8TjUz6zdZo8WDjgbdz3zuRfAxfMKK3gAeN +xQtZSXtIPw1tn7QX8mCTU84Pz91M/MZQqVdbxIPEp2vblu0ifvZXNCK7mAfT +F/7gTDgSfd+du37GUh7Qx55+rHVgolnV4EOmHg9Gwu9+iLdnYuI2qy1/9XkQ +pR7/2dWOiS/nGjF/LedBmGaKSHcH0ZtKadeAIQ8qOp70/t7OxO3za752rOTB +uqedE69smHhF/rBi02oemE6qzblhTfxCUOrHMebBX4aP/r5t5HvmiR3v1/Kg +bf4T+4VWTPQ3VzxfY8aDM09lTv2yJHwqN9sE63lwVvF4btUWMt8L05eUb+TB +49ttgisWhN/nLhgXm/NgTqLNrD2bSb7fzT6cZ8GDIk/cOt+c6Kf82NtMSx6U +7dWPGdrIRJ+Hf7bcteLBOV5m/fMNpN5gve8J1jy4tFha+fJ6ktdN6hXXt/PA +/fEZ353rSD2f3+ZF7yDzf98BmmYEb0P9qnB7Htx5s0FhcC0TCwd3/z3jyIOP +9OSQShMmtnZudAndxYNITqfwkjETDX/96graw4M/iVobHNYw8YzE4Xj/vTyI +ydr5YO5qgg+zzOeAMw+e2p/Q+LaSiVF1b109XXmwgBaTVGFE/MeyOMzFnQfx +1OU5Fw1JPuzze7XHkwftT48m2K0gfPk+ucTRmwfypyyV1ZcT/+70Bdv9PLBP +Z90b0GeipHbZ0W0HedAakW/4RI+JV5Nabbf48UAlfPm7iGXkfN43u03+PIgb +SfPcsZTcV9h2ct1hHnQZfaepLSF+rPj8jUkgD1oyVHL6dck+tyvSZHUwD9xi +dazLFzHRcosJz/AYD0LdZMbDdZhYxetMMDjOg22+ggLbhYTffedPLTvBAw3J +4x6q2oT/PnKXFp/igcedb6r985m4wTjnic4ZHiSdWNPyWIvsB1b6Utpnid6n +7MsKn0fyIuL5Va3zPMiMsfW31WTimrpt+prhRL/H5UxUNZi4fPqXcfVIHjDU +C2f1qxO+LD3Xr3qJB66ts3ofq5F5Ky+aohLNg/A562rCVYmf4RdjpRgeCJSM +c21VyD5E/y9F4SoPem3ErqkqMzH3Y8x8+es82Dsj5kS/IhMvzrzAlo3lwWhJ +08FyBVJvUVzunHgeZNwddomQJ/tFYlWGTAIPDmjX7d4hR/K6dOZL6Vuk/mKv +XWqyBO8fZyWkk8n8bz53GpAh+bta/tjsOzzwN+B4PJEm/DvOF5+dwgPH7nuH +I2cz8fjtV1VSaeR55orzdlJMVIlpSZPK4MEyiZO31GcRPI10c6SyePBG/3jJ +1xlMXBFTWC+Vw4N5fToNFdNJ/gZ7a87OJfO5cmP04jQyz6bdt2fn8eDliTx1 +B0kmbi2NXiVdwIPCWcHWGlOZmNU9/lf6P4J/4cDZ7+IkDzwf9Mg84MGiB7PL +K1lM5Mnn/5nzkAfKIR3DURTZ/wa/LZMrJfN1c12+k8nEvY1nrsqX8aD8fXjo +PAb5f1K7b7ZiOfE7pe0vf9AIXtlXK5UqiN/dRymYQvTvInNFpZL4C4/tGSNG +8O37cUHtOfE35uXK3f8YWLFUJ30u8oAV2ya/YJKBLnOxQ/MFD/SauKE/JxgY +VVRmPf8VDxrMD7RUjTMw+82sFu0aHjQvSdxybYyBbfvqby6qJX76y7l87x8G +2u0dD1zylvQ39nyRzm8Gqj29cUyvjgeY8ihzdISBe70S05Z/4IHl+nXq1b8Y +qG0184fRJ3K+yTU99icD53hM+Kz5zINaCakFrsMMdEpyY5qyCT7fbYsXDzFQ +t23dm/VcHrxznGs2PshAMd20EnM+D/5LP91Q+52Bxb5hryyFPPi2zMs34RsD +x+Lax60beVDvxWV5fmVg+Y263XbNPChO/5irN8DAXHez5p2tJL/Mbaz/9TEw +acAsam87D46U2v2u62VgvXb9HrcOHqRbi3KSexhkf/m5w7uLBwHHOnbv72Zg +/IWCI749hB9XDkkZdjEw7NLfssN9ZP4jwe/pnQycmN6ncWyAB9HSf67Uf2Fg +FePoo5PfeLDf/PeO1HYG3vRM9z83yIPXPw4rH2pjYLB6oPXFIR4sPe7Wt7qV +gfd1+uyv/CT5Y1xbKd7CwEsnp52PGyG/T8uM4zYxMJPVyEn6TfJGfMg/q5GB +u144bU8b48FDbrF1oIjMM/Xqj5wJHiz3b9M3EzLwWnLIk8JJHtjqhynNEDBw +VZZCbqkYH/ZFRok38hho+Sjk2VMan/jv5J/7XAYeeBH/5wWDD8v8mr6HcBi4 +7GXQ3rcUea7W7NvEZmBIgVxXvTgfko0/9Ug3kHqOX0gQTOXDDsO2/rZ6Bi5X +qjjUNo0Pe2Udhos+MfDV1ee+vTP4wDPT+Xf6IwPpNXHXf8ziA1PRZabVB8Kf +58aNf2bzYQ01pKn4nvDNt9KaNocPPw+0Gfe8Y2DA6zk9U+X48OL+oj1lbwne +b7fmSivwwVHn48nwNwz85ed2TVmJD2e3v03fUcvArTm772qp8GH+OaU69dcM +nBJs9HmJGh8c5laNfatmYEbt38Ur5/JhYcKTxc9eMfBbRtGDdZp86NxI97r8 +ksz7t82erVp86I69k7b7BQNnvGnTcVjAh3udF1oXVDFQQO3XcFnIh4qMx/NG +gEH2k06zA4v48HGp4aFXzxno/2pfZNBicj7090nsM3K+omHo9FI+uNlOl3Sr +ZOBq2pbIS3oE72J316VPGVgy/4VZnAEfVE5MPPn7hIELU9dppKzgQ+wsgVxd +OXl2fatz34gPl0QjocmPGZgW4LKndBUfgtfZt+4vY6BtFb0Y1vBhIPe7pdEj +BubbVSx5Z8KHu8dfP2GWMjBQM7KBa8qH7XJCXfZDBn5cejC1fR0fBvu1sjKK +GVgQeCD22wY+nN53X+3IAwa69kQWjG3ig1yDe6ppEQPvXqn+SlnwYaRku+aM +/xh4x0PbUdqS3O9zJL+xgODl+bBTzYoP/+xfGuXnEzyve9/RteaDVsfG2tA8 +Brp1bT6xajsfbpz6udfiPgOVXHeHme/gAxX56ZdsLgPLxFLy7ewJPvt5sZ05 +DOyokv/n6siHzMus5aXZDIzJrQv138WHlp0ugvNZpL+iSqVTe/hguaLpvG0m +0TenvyNqL+FnTNgy9QwGLlbdx0l05sPvVxvbv6UxUC9S+mu2K5m3xaJbz1IZ ++GXabN1Sdz64ntHbEZPCQOfHTrEvPPmw55PDLKe7DPx0elit3psP/TkJnxfe +YaDJwUZ2y34+TPEduvU7mYGxRxWKvx3kQ0GEj8frJAb+zS4s/evHBynXn3oJ +txiIo7dbpgXwIdAjkeGVSPA+0q2nfIQPi/5YiwwSCF6z4/IXBfGhNFqhjHaT +gQnCdKs1R/mQcu5XfH0cA30+yc7ZGsKHxM1tIWmxDOz68ZPhFMoHb3ORc8AN +BvZvMlX2PcmHr91tW9ZeZ+D+N7/3nDz9fz4Pr5x+jYHnIuZVXQ7jw4qnM3Qb +rzCQFlptfeccH9ZW6WnmxzDwYW4zvfACH+JnO6meuMzAtQpBrc8iyP0KUSpb +ohm4oC6i48NFPjSaVajLRzGwpVphVmsUwWNoYEH3RQY+k9T3+HGZD+eT1QzK +Ihk4lFbfRLvKh4CM7esjIogfXxkPk7nOh/SjZxzsw0n/nx5umR/LB4Wwe36a +Fwi/jo2tXhnPh/GFby8OnWPgv1McO8sEPpxq68ipOsvA49/M4/feIvycNfLm +ehiD7CO2E/7JfKjVnBh0OcPATvU/l8/d4UN0xC+lpafJvIZMN8Sn8IGT3mo5 +eZKB8hsWatxL48PBjqen358g+lUt167I4IPsk4jSO6GEvxHfHd9n8eHTZePv +vscJHmc/F7TmkP5rmxevCSH+qeqp8zOXD1mig4enHiN55XzvIyufD0p6LWWC +YAY+tUi9o1TIB5cVq6fcD2JgXrf1jaVFfBDZn7A5HshAr/VPCjcU80Fx4m76 +5iMEX7e2HztL+PA8MXNU9jADj1q93ef3iA8R8VG2Xf6kv5khP84+5sNGF+ui +R4f+7699BTef8KHPc3BWhB8DTQ20r+c95cO52f7H7H1JPubp34ZnZN6c6hbN +gwy8ojT9Axv4oKY4YjW8n4HhNyq0+6r4UG7999kLH8I36bX5/14SfbUK9GO9 +yfwKkx3m1PAh1Tg6382Lgd2+DQsW1fJhTv00bT1PBp507J+77i0fTki65op5 +MDDreOeGnXV8yNh9XveTGzlvenXl0Ac+hC4MLE11ZaBsXMy/C5+IPnoXmwW4 +kHxJM01K/swHO6r041pncr9U255iNh+KvtM8ZuwjeTcStLGWywcnaYWxJicG +Du4ad2jh86G65Wd84R6C78YT10aEfNj/Mt7g9G4GbqgeHpzexIc23VGO1S4G +Sn07eEKrhfhBtOIp5Z0M1KpqX2TSxgddq79aAw6kHztnpsMXPvzXcrfhqT0D +3YtbqUOdfHAuHQu/bEfyu9NvWUQ3H2xWzV7ttIPMQ4w6f7eXD8VN7UM6tuT9 +WUXjj/pJPbN8i8ZsGPhAy/fuh69Eb+vuB7y1JvywMPHp/s6HpNbbBsnbyP4Q +pb1bbIj0s3fd+AErkjd/lwYp/OQDd96tmlVbGdic7/hIf4QPb+6n3JSwZGB6 +bqqa1W8+THey2y+wYOBl2oyHXmN8uJZbuvb+ZgbW1Gb5hU3wwZZWJR9qzkC/ +qT42SZNkHvxjIxabiB8Kdu4pERPAmttsnvxGBqpvPnHlPU0AHRX8yp71xB9c +6nu6GQJouncuu3wdA5tWufrRWALI/Pz+xiUzBka0LpRXkRBAXf7Tc7tMGXjv +gN6AkaQAWFlbjmqvZWB1Z2jPjukCUNQ95vfbmIG+PtR0/5kCaCs19aldw8De +v4LdUVICsC3K8rq1muRR5eiHLGkBnIjJ9Nm/ioGfH7n74RwBnH62+tDKlSTf +JlT0G+UEkFSy/5i4EQM9s3TVfysIQKV10QX+CpKnlTcMZZQFcLL0fFzucgbq +u2w/ukxVAEszfO8dNyB8SvZttFIXAEex87mFPgOfnO3yPaAhANXrXwXyemS/ +0XmlGTlPAOygC797lhI/zGcxMucLoMEoW/HJErJ/zC6dhtoCmGNtaxa1mPjP +6TqTJh0B5GhHHtity8DTv+wSx3QFULhqfcLCRcS/k7cpyC8VgNfwhZo/Cxno +cKLy5Qo9Acyr3TL2RpuBKf9lJtgZCMBGJ1YveQEDay2p2CMrBHAoxsnv4HyS +B17dj64ZCUDKLStvtRbZr2Qsaf+tEsCgou/A1HmE34f0QurWCOCN7n96Ig3S +X2SaTL+JAM5J+J3In0vwD00WSpgJgDkvs+akOtmP92i80V4vALfvtrJWagyc +umFN6+aNAihvPnZAWZWBZpt71HzMBWDmNQsHlMn+dk73UqSFAMxHlBWfKRH/ +oyQVciwFsIx5O+SKIgPrfkR+rrYieDOj+PsUGDjTKbO001oAZQc7jZfIk7zb +7QFMWwFE5/6XNSlL9mX62yEtO3Ku/2XmxzlkXwgRWps7kP5OnzuTKsPAE28T +G7x3CiBi/OJggDQD18sxz13cTc41fnmZzWagZojWzlwnAXz0fN08S4rkM33C +4c0+AXw3+runbSbhF+/y6T4XARTPvCksnsHAD9P47yXdBXDE9cq+89MZaFD5 +xXyxpwDSUzq+7JjGwLO0hz3W3gKoXpt0SFOS5MWfTSWH95N+Ht0fG5Yg+q3M +yIk9KICQEJnLr8QZGLr/3YtSP8LHPzzVmyyyj0u/ZPH8ybweDD3yosj822OO +/jksABMpj+2GTAbK9S6aphwkgJHrC75RDPJsnvlu7VEBPMpae41HY+Cw7EiJ +W4gAHlblGOROYaBkyILq8FABGO5zFh0XI/vI+dX/7p0kehvwiNzyj46Oe/Td +350m93U+Wq44SUcVhdnfvoURPj3b0dU3QUdjUWPG7POEb70rbz8dp2Mn3Dxr +GC6AnhZvu5gxOqq3ml7cE0n0JSuase8PHRd5NJeduSSACVr8+8W/6fjPI3hm +ZrQAPJWuX5scoWPUJOPG6xgBPOe8t//4i44vbePWDFwVwJLcrSppP+l4J0xj +ptQNAXSJi/ceHqZjW+YjScM4Ur//lPJ1Q3Q82Waj53ST4GVtGD37B6nX4WfY +2UQB6Ktnu3z5Tserajmj2UkCaNlttbL0Gx3jPPffendbAAsCdWQivtLx/pq1 +7j/uCuBpi8mwwwAdMz7qOMilCeCAQgRnfj8dpxjrHTHJEMD0hMmK0V46bk23 +L/PIEsDdutzM2h46SmnemhedIwD15eevJXXT8VXr5NMHuQIo3RB15mAXHRsn +Lp/i5QngSmDl4TWddHydvN57soDoy0jRe1oHHet5WqFaRQJYJZnu3NROx/2i +lY+sigXA97DZ818bHTnVZxSDSwRg90Rzd1grHe2fjOXefiSAdReUnba30NFI +VOT68rEA7FetdJ3bTMdi6/R1/U8EsNXu6P6hRjp2GHzeKl1J8Lf4HPRSRMeh +wk1ha54LwCF22/l4IR0VuiZFHiiAHfc647wEdHT9K+Ye80IA08SScg35dPww +x0bq0SsB5Mp4I4tHx4jdA71NNUTf+7aK+Bw6BveI+qk3AojZsfnPfTbBr1dd +btk7AVz026V4soGOv8Oe++5+T/SkeXqt1Wc6hrAf957/KIDhwRIvlXo6jkvM +ulFQL4CrVuPXvn0k/Zu/deM2CGBXke0z+EDHlOJeJzEu8ffYR1+vv6dj6JEj +YTp8or9DWnPd6+hYme9ZZy8UwIynqTsN3tFxRUTN+rBGMv9hjRuMt3T8b0Fy ++/1mgu+1wvecWjr2PGnPZ7cSPxRfO/3eazrmeGWm/Gsn3+N9tjleQ8fwrS0V +Op1EL8cO3txSTfRwJ0nMsZvww5nerPiKjtkhnIBzvQKwkLizcOAFHZdJJogX +9gug/bv+8WdVpN6zzW/5X0kexNS8uYp0PDhaXMYYFMCXnQ6qrkBHpyzpumVD +Anhd13RU7zkdB+5Tkvt+CuCxp/Mn2jM6PtW/GhQ1IoC0JM5i9lM62vgUMst+ +CyCyc93V7Ao6rgryqWofE8CZF+k/jj2hI/0c5Mz8S/iWN7zTopyO2uXlj4z/ +CcBF3rBK4TEd11g4fjswRQjcCJ/F/Y/omOtwe3siXQhHD0XeqSyl448Zlxtf +MYVQtuXGjKslRG/p2rFDLCGo3Iy84PKQjn+XhRxRnyqErW89x5cV07FgMPSE +9TQhDHjoHKM9oOP0qcsLT80QAjZyhhv+o+P13FyJ/FlCSCnyCs4upGPsT+E1 +wWwh+O3kjx4roGOa5gdT8TlCmGeje8Yin44SThEKRnJCaJByZSnm0dHqPV3F +W0EISYqBcf25dHycZmV5U0kIeR2uGs/uEX8Q90h/pSIEy36d0qs5dKxebKnx +U00IH+5/sHDNpuPyDcz3mhpCSL9t2aqXRfAPTky3myeE9cZ3T9AziT6/0tMu +zBfCWla1HCedjiXt22pLtIVgdBwf56TRMfLUccUOHSG0Tr2653gqHfO/RibI +LBYCbY2umGUK4Z/bKeNNS4UQFJ6Uq3SXjnsl9047picENQ+23dfbpF6FhdQ9 +AyEw7URTIJmO3591LeSvEIL+p4KH15PouHPerRCJlUKoddzs7X6Lji5nzb6v +Xi2ECff7yssT6ej5r/26n7EQZh+p5zAT6Cjknt+bslYInn+f3eDF03GOvuaO +T2ZC2BV+aPv9ODrGb3l9hLZBCIfPN0udjKVj5qbAp8s3CcEweCbX6gYda5wX +LPXZLAQL7uQd1euEfy9765K2CGGfVr734FXip7mV8XVbhbC8ebbBiysED+PM +yH/bhJB1ejktPoaOO0rTMvS3C4nLz2B7XSb62lDe47VDCH89UnONool/KX3d +lWQvhJ6szjCJKMIf//XDdY6kHmzZLbpI/CXo6WOx3UJ4bRBjWBhJfr/XKWe5 +kxAWnuqdExZB9LNHC/bvE0KX7Mjo9nDid9nKtLsuQnA796BR4wIdDQ5tDKh3 +E8KsVXKvfp4j/tWfSlGehL9Ptf+rOUv4Zqtfu9pbCFqRX5JvhdExjztZErCf +8EHWPPrgGTryCsTfZh0Uwtx+61PGp8n8Z9lNFfoJof/sxOEZp4g/LW4Lnhkg +BEnHbftbT9BxoVmZxKYjQjjQY+r+MJTk1UlO7YkgMs+yz87hx+moK7/+4YOj +QvhqzHB2DKGjx9Z/1V0hhF/jn120j9Fx39ZZDJUTZN4BJp5jwXTs3nHcz+6U +EKbIrfetCyJ+FLf6X9QZ8nykJTglkNS/ZU8lnhVC4rj0ucNH6Gh5T5g5ep7M +Y0XztfWH6Vjb//zRkgghuNwxTpcJoONH86lDXheFUFy0+FHXIZIHv2HX3SjS +79eid+V+hP/Lv/SyLwvBl1PVEe1LR2/DkOxpV4Xg2Okmtu8gHT8bhF3eeJ3w +6c5V1aUH6HjhwOTtU7FCOBNqbjplPx0Pz/jNLY0XQtr4RfcGb5KPewOMvyYQ +fabbXsr2ouPGGz51WklCWNaf/iDEk47b279EOt8WQrdjiGiLB5nP5W7fxLtC +0PP8JK7sTvT8+ujJT6lC2B2bv/KbKx1v1d94JJEhhGeuLF90oSPVsVZxQ5YQ +3lm3p8Y601Gw5uz9UzlCGBet5nnuI3qR2u1RliuE5oszpYz20pGfVbd5MI/o +47PzNgknwvdFzY46hUJYt3pBjGg32Te6r1/3LBLCIjOf94W76MiW6vmZUiyE +ux4qUmd3Ej72d10QlBD9zrPYucOR6O/edROZMiHcpnWlznMg+X61Z65NuRBk +z/zqG7Ej57wfy6IriN/JHl35Zgfh/4uig9WVxD+2eVy6bUvHI9FaH8VACCvS +nwsPbacjBjg6G1cJQTouYqmZDeFf4Sb54y+FoJ5ZFjnbmo7nL41MlFQL4Ynt +9tYOKzqeXek3bfC1EKzUbI0fb6Xjg3/3zXXfCsE25nFylCUdvyqW5O+vI/NT +OD/utIWO+h+i12R/EMIv8yLnJRYkL+2Xj7R9EoLgpskrsc10vDbwUKTaIITy +yEW6DZvoCAKJAScO4U9ySEL2RtK/i/GCJJ4Qsm3V6cc30PFh2bYrXIEQjiye +F2i5nuTp3HWqMo3k/f/OfVFeR8eL3QpC22YhRDga7fxuSsd1piK81kr0k73h +fdVaOu45dunz+3aiT9XsTfEmdFR7MW/mtE4hLDDbg97GdJzpX3LMslsIgVfc +TFatIX5VYiQR1SsE84tPKiVX09G8sbTmdT/x1yLXtc0r6Vg6f0kR9U0I8pEO +Lx4YkfsFOS82DQqBcTXB4oIh2U+WaUyJGBLCTguNeocVdJwdknnw1U8hFBqO +OmkvJ3zpX/yPPkr0IZTuHdOno/inV883/CH6Lzt2/L0eHRX9fe9fGBfCK0vV +qWnLiJ8zteDlX8IHRYmUwKWEP40//9HFRCB9b8XyTUvoaLai2XcjTQR3AzPq +5BYT/jl00CIYIpj1b5tP3yI6zrswtbqaEkHkB0PGMx2iN7r9Q0pCBEoeTpnX +FpL9S+HV282SIhAzrdjork1H5kznGVHTRRDcYduzfAEddeZpnX47UwS1HPWr +rPl0bMpRlps2WwTbb2oZCucRP2VvbtwmI4Lj2c6tBZp0lJy4X3dNVgQVl97G +hGkQP9hn3lMvL4KkKp81O+YS/9ugvlRGSQRFn5cPzFOno9ev1emOKiK4tXZZ +6qgqHUWPk9YmqYlA4tIu+7cqdKRxTVmNc0UAegWSd5XJfhq7bFx1ngiini+s +DlAiejAJUHSfL4J1xR/Prlck+4/8P89sbRF8irmzdo4CHacGfBH26IhgGfvq +ZLccHcsvqZ3SXSwCt6nZWCFLzh+UWRxeKoKTD5vCr8whetItMCvVE0GyjdFW +Vxk6mmyle/42EMGw5wNpA2kyH2t4aGwogmdHNzczZ9Mx6+IX3XMrRbCeOZ7H +n0XHM8ZBn6tXi6A14U1o/kw6Hnt6JHOqiQhGC4stz8yg466t7ak2piKYfF+s +YjudjjNW1b6OXyeCoydqhzSn0THm/Xwl4QYR9Bj+fDMylY79O6ckq5mL4Fek +QeYbCTpazHXa6GUhAotv4WfuiNPxU5CRYr6lCOIGu5wCWHSsu5Ok9MNKBGlS +u9asp8j+OBBuYWQjglUcrvIcJh0rcifSTtuKwBzcxHrodEyey9B6ZUfmYTfa +WUEj+GelsKc6iuCQbML7K1PIvnbmY5HtLoL3ZePHrmJEX7+Tym7tEYG8UW+G +wT8a0vdP6W3ZS75/N/k6NUlDa2mJzQtcCL/W25wVTNBQ16r0k7+bCP7cZwYW +jNOw0IWKLPMQgdruSq+wMRr+S6H5THqJoLHhiNOOPzR0dywIMt9P+JAyz07r +Nw21G6iCqwdFUGXSYPV7hIZvDs6ZxfMTQcOKUxbvftGw3EuUqhYggt2SquYp +P2l4c85ep/1HRNC9/vGmI8M0lHyXvL44iNznZr554xANewXJDmNHRVDS98ZS +7gcNxy66xG84LgJnT7Ptfd9puFF/YDLmhAj6duTufPaNhlVqG29yT4lAZ42Y +2/WvNEzOPrhTPUwE9AxzP48BGk5X9Nh08JwI3KedCDXsp+HemmUupRdEsPHf +rUsSfTQcnuBmTUaI4MG/9KTGHhrum7NbdsslETyOjSso6qbh3L0VJXHRIjhj +4ld1vouGo/MnTzXHiEAvQofv0EnDnNcLAhdeEwHre92gdgcNp11fHRd8g8xf +bIfkRDsN5zWsaoU4wr+15Qs+thE8u7R3SyaIYNeSyU0ZrQQvZclJx1siGHTQ +8D7aQvqp+fIhI1kE4as1L1k003CLcdm7b3dEkOj2L1+piYbcDxE/V6cSfLY/ +qv8mouEI22HLxXQR8ccNf6qENLTPWPi2IVME5+7matwU0PBxDCNEPUcEV6gv +2/bzafirs9fmUK4Idlr/OLGGR8OZ4k32FXkiyB2rvz+DS8MZm9oiWIXk/MYF +YRubhgt+/Wm3LxLBpluM6Y8aCL6+On4ZxSJwvWm37tJnGtaLHZs7WCKCjBkB +IU71NDSf1kpbWyYCqWiHoiWfaBjT7Dsrppzo8Qqzd8pHGnpwlS2FFcQvUk/P +47ynYfzmkSLtZ2Qe5pVuuXU0lIgeXxcCIjjFwrST72j4fmSpWE0Vqe/AxTbr +tzT825LQJ/NKBLOHZ83TeEPD1kyDKZ41xE91nPb/ek3DukSJjSW1ImDe9Pyv +toaGprLKJbR3IthbsWjkdjXB+6i/9Y73IrisXmQa8IqGCrMYshkfRSBn/TV6 +/UsassxaJYbqRXD9TQdvzgsaBu6hdNazRXBNIX5+L9IwqCr0WCxXBOWv/hyr +BBpq1ph8b+eLoNJW5s215zT8VOMQbyASgf3mdmWPZzRkq1V7hTeJwFLXPdCw +koYlWtc8OC0i8LsY+0biKQ2nrnp8ZX470VPLEY2mJzS8VWzWEdIhgtKnk6ce +lNPQcGCJz5suMu8MI8GFxzRs2hghq9RL/ERJyWhnGQ3vz9k85NdP9FV4L0Hn +EQ3fPgkZe/6V9NMiGv1bQsPUG4pLpQZF8NWobE/9Qxom/tS/7jEkAobpCsgq +Jn6w6ZVK2U/Cj5M7tY4/oOFhfj1PfFQE1cFKV7YWkftkXJ47/SH+Vhw2ovof +DU/bBNT/Ny6CgIrzbkMFNPTrZ0rRJkUQO0fzQ3U+DRvN5p92EGuEl5Yuxkl5 +hP8lDXPu0xrhaNuKAr/7NKxMkxJNMBphnlu2ilkuDVd4fqnbzmoER9uC69L3 +aGjpbNWfJdEIaau2MLuzCX4DNoZ/JBvhTvqJkxVZNPxw5EfhthmN8H2W6fCV +TFK/5fIdGbMawWLmTT+3DBom8JQ0R2c3gve8k93L02lIC8lXt5rTCOL87x7i +aTSUieqyTJdrBLGHP9pEKTT0P/wpfUShEbRWh7kV3SX6ivHTslJuBKffCe3n +79Bw+brnnHTVRogJNvJyvE3DK921D0fVG6HE0KV3YTINpbqvVW7TbISPNdMC +/t4iekqTHc7UaoS+grUjnxJpOBHk6ji2oBGUjgyfyUog91Uf7tqu0winbi+U +OH6ThnI/LTPv6TbCqtKW+K3xBG/voZjJJY1wfoOMhloc8c8TBzMd9BrhRn31 +g6EbBI+Esq4Cg0Yo6hoyq7lO+KksdGQYNsJCyeTPSddoKH6YP+y0shF2vX7i +degqDVV/lj4rWd0IKZnbx8yu0PDI9KBSSZNG2K+977pMDA35c2X5HqaNoN3c +tKAnmoa219K1K9c1guu2enwaRfLjuXyOzMZGSJxc4XTtEsFDJmz7IXOCz4mp +o+4Xaeg0yltQY9EI1lu2xRtGErzfztdV29oIs35O6E+NoGHfd/99x7c1ghVd +vqHpAvHbzyVP620a/0dxdcfV9L/xcy4V0iANZZU0lbRISqhoKbSLokhbohKV +UCrSMAqVyGiJjEjyfAp9hZRKortvU4O0u+v3+f15Xufcz+d53ut5LtQI845X +nqWglT+mrbX3UEH5WJp8UiIFFR7YKjzvTIWtHHqN+xkKaviV2U13xXx35R5Y +m4DnxYPfkxs9MJ89VfOIeIz3uj3GV7yoEH5hQ2Xbaeyfjk93h/dRYbH9Uq+H +p7De57tv3ulLhd4aT9FTsRgPbT6l6CAVBn1mn+46SUGhD2sn+f5U0Kqb9FWJ +oaA+Rp68RwAVKo/skp6MwvxYFhx6Hoj1yBDi7MD+NfnAlAqhgszj+ZH5x7He +1GRTg8OosNk3SC0iEvsvKmv/f0epYHd6VZflMZwXWWYHVkdSIe6SVpZCBAX1 +MpdlJZyggoLihZ1D4RRU3KQ/0hVNheAKQxKFUZDvu7MxG2Op0NS6vuZKKAX9 +0JLWu3aaCrek46ICQvB8CaMv+RdPBbPRJQamwRSkMv1XzTGRCuqCqb+SQRTk +b2R3uPwcFVqQ6hP2EZzHaX9b5ydT4WX9jaNVARQUFNQdEpCC+U930U87TEF5 +m7QMP6RR4Xip68S+QxTUHPRBY3U6fi66Vb3eH/MTUG2bmEEFCcrqBBE/CurK +mX+TkUWFbsdBq58HcH/B1XLmV6nwVG5M4pEvBaXYf0F516mwjrnxxxkf3G+x +VS43lwrLjWvuOO+noFN/NPI9b1HB9m5MqMY+rN9LJ5ur86mQVBG+iedFQTIj +m9YtLcT67i6Y1+KJ9Zlw9E3MXSoUfZ3bWeSB94/Hy6M771HBefJ2cbQ7BSUN +W/lsfIi/7wmLtXOjILOSoeO5JbgetaMOK10p6KmD7KvpMip4b7+rPOZMQZtt +32l4VFCh+sOcqYa9WL+Ssw3VT6hA23Cl6eYeCnq3oDZb8RkVmKsd74ftpiCH +J1KXTr2gAkvGOH6bE/ZXyMRT6kuMR7a1u5wjzrdHEWLmr6mQrZFg8NsB67Hn +QurtN1QoPUCXemtPQS7JpiYkYP/+d3A4y46C3vIy5PzqqHCle8GXQ7YUZIBS +lD+8o8LMtu9lJjYU9H2Tpqd6AxWWhaJLEjspaJR1HKV+pILn8KcwljUFkerh +zkOfqCC3a2z3Cyu8r51UknNsokLt0o3GqZYU1OoYJ/K0mQroV47Svu0UdEIh +V0W2lQr5Soso67fh/LQKD41pp0Lb4bsDc7dSkJWDaG9XB/aDtW1r5xac/wW+ +l7b8xHltLfam3JyCZCsTfYu6qCD298eDM2YUpDkRclCMToUtX19nO2/G/DDW +ZAczqfA+uCJBw5SCojiP/zSzqWCxtzKUZ0JBaSckTxn2YL1J1Xu3bMTzfIGV +4Y0+KoxqMezvbcD7p5ybkmCACnf1xMxjjCmoVnqnnt8Q1nfZRj17I7xfBChF +fhzBeK05tnqVIc7HnHaOzigVorWeyo/rY3/LRJ+9MkaFD5ZTCz+upyD6HlHH +mQmcX8Itc/L0cH40JNn4TFNhfU/abPg6Csron474MEsFtcSOf9t1KahK1++j +Np8Km/YrD8nrUBBL5qN9tpAKfmJBvYPaFDQsqi2cJmlQLPaYBVp4Pz2fwfCZ +SwPp3yO0K5o4H8iZ4QZRGjwy0egK0KCgwakgLd35NLiW6PHTVB3rgd5/9Zo4 +DXrsEzul1CjowNooHb4EDd6oFXRyVPH3nnLj/tI02HGz4ufL1TgfWV/6vyym +wUv9yq6LKnhfM80XN5KlgcWpe3QfZQq6QU/zzpenwXJhMttgFcZrx40uEUUa +pNu49YmtpKCTg59TwpbRgNEjM9y1nILkrNT8f6yggZdPzdjjZRS0uK0s1EKZ +Bp5b7bnnlHAeLvS9X7KaBnryH+a4K+J9PsBaXEaNBltDVCXWLsX6CDh4+7QG +DcY+H5EnFDAfiS8P9GrRoLIuU6VdjoJcdW32OOnQYKjzpm6xLJ6PI4oRr9fh ++vKTTE8vwXrapPdWVZ8G6IajjZMM1k/WJZMMQxq4eU65qS6mIKVgA86MMQ2C +g04FTEvj/cFao8bfhAYXXX5Ff5GiIIuCsLpmUxrYPlycWihJQfaj8yc3meP6 +BlVuHZfAfq/muz+woIHko/kVOxfiPDjp8HvRdhq4x3yoWyZOQb/u80rirGjw +qdO54+98fN8HydyBHZg/z6rB9/Nw3jpeeO5iSwPmhX7yhhgFzf0YKKyzp8Ho +8IBCqCgFXX5QHaPrSANRhWq9rSJ4fwyNXXVrNw04Wc42snMpqCzv8aSYMw32 +9L0+OEDBeVbpzT3uivu/9/t0LYnzUD1Jl+1OAxVndk4Wgffd5LWZjl40MDhX ++OyQkESnbVxX1e6jwbra1S0mAhJ5DoswtHxpwE8PGpbgkyhh0vxL7kEanEuM +FGdzSRTXM7df9BANHq8206qaJdHSTV76JwJoEEk02KTNkMgj0qqME0iD/4oW +Bu2fJlHMkv/27AmhwcMbUhf1p0g0cpOjURdGgyVhTeWik3jkXC7Q0YugweJH +ls2/xknEDOH63o6kwVN25L+KMRKF1PDrJaNwPTc95M79w/dPFe+Nj6HB/IPj +m9xGSVR+n5AZiaXByLttvtp/SdS6cx65P44GTfbbk4UjJBIJeLf8awIN3qeM +l7cNkyg33ijQ/CwNuHNc2h8OkUhR9iCn4jwN8m39eKcGSbS3wv7Sygs06Opf +vsbpN4l2Nk37ZabSoDvo3C7VARJtHQsMIi/RYNI7O2a6j0Qvy4tuH7tMAzs7 +m6IvvSQKjyqZ051JA9X6B18LezAe1PjrLldo8NGhZPZ4N4leuau7/3eNBgmx +juo2HBJNxD7YaZJLg5z2HOflbBJ9qRcGlN2kgX//mbOjTBKtrTauWp5Pg43b +5ld+YJBoM2eXQeZtGhwLW8e8Qcf3NdgxKHdpEDQzKhVGw88Deq9P3KNBarij +xTYqiTS+ke/7H2C+91lHyHWRqHp+Pc+rhAbfdn2/+/sniW4uOuHfXEaDtpbZ +9redJPKJXcHdVoHzJPyF2JUfJOK+q0NVT2jQ/HKOaUAHiS5HH3yh9Qzng1F3 +mOl3rJ9Vc38WvMB6POFSJNWO+dxWqi3zCp8317WT00oiy0D3Rxde00A8vFvi +1TcSrVm2eD/vDQ3ktwq3X2rB+uD8MosAGpwRux/r20wiul2VfW8dDX7uaq80 +/Irx/vkwzes9DV4UXRyY10Sij0ufTbU04DzMblSmfSYR7VrXFetGGjgVX/Ks +/EQi9U5VnzefabAzou1KUiOJso9ke+h/pYFhbF6Tx0cSObapnytuoUG1Y6+Y +7n8ken+vv2tFGw3i4h9vozSQqNSv0+/adxqsvTIZ1/GeRMOFs4oLO2kQpfi6 +uvQdif7j7CHP/aKBxJ3pifh6Ej2t6pabpdLg/rMn+nvrSORb9swrgoH1QWeG +qyMStdu8a+5n0aD28YVH3Lcksl8hH+nbjfF7WjTYXEsiu+qnVp292B/HDbTu +vSHR7ds3djgN0GD3WaPAmBqsv8DmmI+DNIg9Ulxs/5pEt266/bQYwXn4LK1/ +VTWJND8YBVb/pcH50V8aEy9J1BgVqqE/RgPBo5zAxioSXTWlyJdN0MA4Ckrz +X5Bo8M6Uoeo0DcgfTkMRzzFfm3afzZ+lwYZ9trrWz0i04MpioRwf432t9Kji +UxKNbtxSlinEeSlx9NnIExJdqv2VvIBCB3L3jcn6xyS6/qQ/6/xcOmQOq27K +qSCRbEHIF4EoHf6FL4oPfkQiG7kg45Pz6SB+aF/9lnLsl4ru5jFxOjR4iIkt +KSORwRgjN0ySDou7JOz7S0jUcsIna0CaDrQT4VlvivH97w9X+8vQYdlLrR+Z +D0lkdGJGmilLh3pt8+WHHpAoVUYp10uBDh98i/1M7pNIbmPzrh+KdFjJCSiV +uEeiAyFLjfYup8OXLadGWXdJpLaDb9u8kg6Nc1gbq+6QKMgjPtNOhQ4Kb3LO +pBXifDEuFPmoSofqifyP+2+TaOzo4VJLdTpUmv2TNigg0Ysb7fF1mnQQUb7i +IZaP88p65Kz5WjrA2oS7Xbdwvom9rKrRpUPf8PPBxzex/iL0FU3W0+HiqL7R ++Ru4v6X+j6oM6PD6/VS8ey6J/lxxPGpoTIeEcbJxbQ6JUiKnDz7dSIdRCScZ +8jr2h8PBJD1TOqgWMPd9v0oi1ovMHxVmdNDSf1pccoVEZlsveOhYYHzc3o3F +ZWO/nbMRL99GB5mbi7fsySLRlFzXkJYVHTRTCtLUMkl079IWQckOOsRWHOqY +vYz1cDp2i6YtHVRuHlZpTsd6js14UmxPB+vO22FFl0i0ctXZ3RqOdCAmpWqi +L+L8IlxVinfTIerMCzH7NJxHzyRXazjToWluhvOqVBLVfnu8t9iVDmrSt+6M +X8B5O7r5uYYHHcrWdY58TCbRidJqyxIvOpz7a7k5P4lEtlc1RbT20+EHg5Ea +cR7npWXmRKkvHVrTHv6wOkci4z2jsmv96JAff3ON4lmc995Ohx8dokPgzpeR +I2dI1DfzpFf3CB18TvDq6hNI5I3kcp4E0eFZ9hHpnHgStVknReuH0iFbZ3Z/ +cBy+bx2R8jycDnptjx9tOU0i7fkXPxofo8Mb6RSezCkSyR/XNKk+TofgyES7 +/pN4fixg/DSNpkNkys2bb2JItMn/cenbk5h/2reBzGgSOSgVlG09TQdPwRqT +Q1EkWv6lgvo+ng4lJ6+lmJzAeSbZY7YzEfNHXdEpcRyfd9ay+fM57IdnSJ19 +jEQBqCXTMRnXd/FkdFUEiVb5pZ9tS6HD+L8d/6UdxfjNj7/ndpEOoVFa8j7h +JMq0fzDZlU4Hw6KVAQZhJJJpnH/SNxPrS1TtpVgo1svycu2ebDo81NksRg3G +/u7OlAy6Rof/7vu6PQnCequpUf6Tg/XAy3p4PhDnkbneoeM36SD29uuU+xF8 +nvS/zpk8OtyPkd2pE0Aiq4a5cQm36bC52j+XPIzxoYTsFrlLB0mJmv7v/iSS +DtB2vXiPDq6kvEmpH67/ovXFRQ/p4Lw6OjX+IIlCZer+5pTQwYb49XPPAazv +6wXJK8rpcHyNuZa6L4ks3rDt71dg/6+6G8vdj+fTqqztayvpcChu7ufmfSSK +OvAo6NkzrJ9Pfkr3vEm0bYVp/aYqrNdrb4NjvEhkyDWzrX+F6wmSeWPvifP5 +WjXFtoYOjzp8Fyp7kKghrXLwWy0dzI/c955wI5F5oqaIJ8J6LmeUN7qS6OGS +NY7sejqsXyfJz3fB+v/9sDHoA64nYZ3DMWcSJd55cXzsPzqwNbblW+8l0fGu +3U6nP+F8qrYcVtyD89n0jLdIEx0swcjsjxOJJA9Y3rjcTAenBpn0d44k0h+5 +I6rQit9706g5u/B8Tc27d6cd60Uya22IA9Zz64ZI7R90aA7UOW1hT6L4kOhj +L37Sgcl98nmJHc7b2f13t1Axf7sVlQZsSNSz8h/lE50OaDogqHYnzpt4w6vO +LDqIxudWZ+0gkRvSdGVw6NASVjrvsDWen4nfdwb10sHdPc9tkxWJKKGmIRP9 +dOj4L+SBpCWJ/JR90JlBOpy3VZxgb8N4W1taLRyhQ25o0faXW7H+zo3M5vyl +g9Vb0eyLFiS6cfIAa/UYztvGbUyfLTjfmgqnH0/QYcdyV11DcxL1azyx2DyN +54P1ltPzzHD+6l+p/jiL9f+N10g1JZFOioOfCx/jaZcuX7kJ493JNmML6RCy +/Y9/kgnm6z9Xm3AKA4YtlZ96bCTRRV55Em8uA27SlIU6G0iUrjTwL1WMAfk3 +/9hRjEmU/1UyS34BA1bMT83tMMTzukbZ9/5CBthVDXWXGpBoTvoaXwMpBtiv +W7o+QR/vV33Ls+oW4fekRNze9SQ6Hyk55riEAUHVDR/V9UhURZ1Nossx4Fu3 +5RKeLsbnv16b0KUMeCCd7NOiQ6ImxndznhIDRD+llN5bi/enps/+F1cwQK7A +biJGG7/f+KVGUZkBE0ubtjhokejNl1/bS1czAD6Jpylr4jzV5/JM1BiQYSba +PqFOonmL1/c1ajDgnPD18k9qeJ9ROEPx1GZAZb5GQMEaEh0cHdz1W4cBBvcd +nhxTJRGyjPkSq8cApSKNGevVJDpZo3FK3IAB8aqvtiqpYP5FSK88IwYEV82m +/llForuNc0N0NjJgpmfk27uVeF5Vbah4u4kBuhZXluauwHqIzld2MsP47en1 +DVmO8/OFSQNrCwO+FPc+tFhGogvK0nmR2xhg9S17ZIkSibIOqxaJWDHgkvuA +4cBSPI90Y7tydjDg4ef+2FoFEm1Uk7XSsmXAtZcZKEueRMWCacYbewZ4llBF +DsuR6Lm/ZrmjIwP+6Hy13SSL831OaQl7NwN2tx7MkFxCosAL8Z0nnBkQt/pG +G3sxxqOodON8NwYcrgiXf7kI+4Gi/ynPgwEE0eN5URrvg3sV0vW8GbDl/lS+ +jxTOk50HEt/vZ4C09gOmgSTOpzTph+4HGOC34o/KPAns90ZNwZAfA1Yv/OZP +Fcf/F149SU48zACjRNsHTxaQqE60xEIukAFnFnj2nZ+P96GDcmvLghkwYChQ +95hHomtxvJ0WYQxwTDc6oiOG+RXxyfl+lAFZhYKHpCjup3SrfHAkA1K4bn3f +55JIXLn4IxHFAEltC7XSOXh/kL1edj0G81Hzwj+egvVpLoXWnmKAvOnLu3tI +EunayIu+i2OAudF2phpBom/9lXEeZxiwcYP7cq6AQP1NbLW/ZxnQ3DTu0cwn +UH35I/JCEuYrSf56EY9Aa4zlJFekMODv4Ntv0VwCbVBaZf8iDeOVPrDQfpZA +Rxc119inM/B+c23HqhkCPf+stq87gwHtT+sTx6cI5MDX0judzYAFu8NqPk4S +6I8rw3DJNVz/vpzxvAkC3by8I7g8hwFX/TbrRIwT6LNbQJvlTQbYjnodshoj +0J7D20JpeQz4nj2et/QfgYJDqRujbjOgp31u+/BfApWvMTGWussARcuLC+r/ +EEjNzPtQ8T0GyIYmW1wfwc/HbBq2PmRABHX8RNAwga6GzfXoKmHA1xXfS82H +CJTxJ3P5iXIGvEFrGIsHCfSw9J+M1GMGtOzqWdw3QKBOZ53NJZUMuOGy2Lqm +n0CZhZbXtz9nwL0DZTEZfQRKtNmsQq9iwAlhRalfL4FYpAIzphr3U6NE3dBD +oI3nu5pl3mD+Vf4uXNhNoDPJaaMVbxlQhbTMmGwCKb7VsLKtY8AjlU8hz1kE +es+p/tTzjgG09i+3UpgEqqzYejaxgQEv/NZ/8mYQKKjjXfDyRgYUeU1O6dEJ +xJS3vFD9mQFSNoprRGgESlnd0O7ylQE+r27t/tmFz3/p4PyvhQFjRifjHv0i +UMNFukhGGwO0d1UWJ/4k0FrX0wPaHQzYn76tzaWTQFu/awk/djKAmaDN1/xB +oMi3w9aHuxhAeRqkJvhOoCufP6I5dAYseSLY1dpOoK6XEHKHyQAP0d6oB224 +HvMO2y0cnF9bVxbEthKoRkHai9bDgPSh4ve7vhHoJxGRf6qfAdNXE3+rtBBo +xVPeIsVBBqQ1PJSa+kqglp6qV6+GGXBaQtHwcxOB8j2Kstz+4u8nOtxufyHQ +g/8+5E3+Y4D6Qlps5GcChQwp/7o2wQA9qlb+jk8E6k2ssTGaZsC6f2/fKjUS +6ODO64Ptswyw/JXD+PMfgR7PvoDjfJyPq54L3zUQKF5Tym8BwQSh0+KVuR8I +FHMhMMGTZELD1BOzkPcE2jEx+LyUwgRm4WUvi3cEKtibO4c7hwlOnSUxS+oJ +NHrmaLCdCBPktchr/YhAoR5RQ7dEmbBW5cqTN0CgA1CWPCTGhAv2+z9nvsV+ +SV+8yWw+E5YaHejxryWQY3G56OUFTPgUcFOw8Q2BxIdODdHFmZBwdJ68RA2B +fmw4O7hOggkrukp0WdUEUgqtm5MoyYQzBnFWL14R6FSQqVGrFBNiRRK9Ul9i +fCX+JaxehOulPju6r4pA1Zv6OMcX4/OsliStf4Hr+7rsQIMME5Z9LswVeY75 +Lb46JS/LhJgZt7KfT/F5ZU4PA+WY4Oy9sfZRJX7/cs/RGnkm+CdYfE18QiCx +srw9EkuZ4DESRnd5TKBFAXq7fBSZQDesH9aswHx+lfKrVGJCAX0jj19OING3 +m7PmLGeCUfS3+a1lBKpTrO50WcGErWlpcg9KCbSkPtmkeCUTvIoOqsSWEGgo +5+Gz2VVMkNrlrrOrmEDc2OU7HFSYMCAbtEHlIYGUd/0eu72aCRHJ1y0m7xMo +9p/U63+qTFipTd356R6BXOwyb1ipMSEyw8SpoIhAzkah2bnqTGCYP3I9dpdA +93KK7w1qMKH5vZG39R0CuTpZtphrMaG8/JuvYiGBcrZvk83WZkJ7YoL/SAGB +9u25F9mzlgmlzWYB9fkE+r4vZHCjLhMSlcUDr+f9/76805fWMaGY0hsYdItA +52eN1Jl6TDgi+BJofpNAVbtMBw30mSBS+PbI4hsEOq5d8fGCARNqj1Uf7s0h +0MJjmdBlyIT/yDd+r68T6LRod/M6Yya4dr73uXwN4/epdObcBiZkJrZ6HryK +67vTu7lzIxPyUjjOxlcIdCj8xo21m5hwM2bSYUE21ovcB6lEUybcps63pmcS +SPpU8O3vm/F9W5aZPc0g0N+Eyzu1zJlA6Kw1SL6M75+vJ56whQlB6zZqeKZj +v87s7muzYMLsN/NlupcINGfDJFVjGxMe3DaXolzE7wtXDMVtZ4LvamOyI5VA +TspNS9osmbCof/W/khQCZefMcdOw/n89ouy4CwSK+P3uadwOJnT5UFt2JxNo +uUBKo20nE0o07r1dk0QgiaqBKg1bJrTt8y6bOUeggck9PvF2mM+0OTlNZwkk ++dBBud2eCY4bcxPvJBJIq7iLp7kL+2FMIfjEGQLJsASjCY5MMLc6v9cmgUDe +G6qJDicm7Kvu3LQ8nkD7MxZqrt3DhOW/liiPnsb8f50NOrsX/15/g+iHUwQ6 +9zOpodOZCTN25r9zY7Gerj82XefKhE1PNZpCThJo9++Tn5LcmBD+Z7zCIoZA +Z9/0HqO6M0Hm8p2MJdFYDyNThgaeTLivoBPefwLndchj6TQvJuQsve7w5jiB +GHJSoixvJuxV6tLKjMT53qEgu3E/E8yKZ0X9jxHoeuZXswwfJjyzHWNtiCCQ +sY7+mV5fJixMf1cjfpRA1AwrqtlBJlyZCbzKCMN5dmfBnmt+TMhQ7Al+Forz +x/oca8ifCRaxBtsuhBCo50hlmuVhJlDv7pX3Csb6Hb7ukBfAhOwVloO6QXh+ +vzbSGj/ChEvRc95SAnHevMxYZR/EhL4NmRkdAQSq+PxA714wE2Cg36f0MO6H +cdqTF8IEFfmF6+IPESi8U6bAOYwJCrbTvN3+OH8LQ7nl4Uy4t7C8cY0fgeYu +u3RMJAL/vn/NtZkDBHpmHDFn/zGcF0f8fZp8CbS3fUVFVST2u+xhjTs+BAqk +Xz8mdQLr4aTm3+P7sV/Mu5yORDFBbuWjqp37CPTfr+GdddE4nzL+nFrmjfG8 +1eKpeJIJ153/bPnrifUZlJQcGcsEvelSynsPAo3pSn75cooJ/DnK73Pc8f3f +QrTV4phQSTqdD3bD/jQtupcQz4SxWOPtW1zxvHZ5tuFnAhN8ZloJGRcCLZ53 +u1s/kQlZoqq1vXvxvN98pOzSWSYsWasR83oPzrcu6Uu955hwdIy2/vJuAj39 +ejPZIokJyr3bfx9wwnol5t26mYz9l+5+x8gR8+nq2Th+gQkukYpu83cRiP3m +yiLHVKyXVSniNHsCLVhZFVmSxoS/KwrfPrEj0ITfuz9zLjEhacr36HlbPP+i +apP2pzPhqUHjKncbAiGLB0bVl/Gz949m7Z0Yj7IEoUwmE+q5qXFCawK9vmvH +CcvCfrzJ0GyzItA3yYWsxmw8z1BH+wNLAtGo9dOqV/G8mw6Nj92O/TYeoXXm +GhO+fS5S27WNQC+3KkV1XWfCzvqoJuWtBPpYgbqMc3GeHeo5NrEFzzN1f6/s +G0zQNB+RazQn0MWrYhPDN/E8+p5RnWdGoHnd5cU2eXg+Pv/oeXQzPp/vEnU/ +H88nv5zZ7aY4/5rn7idvM+F78Gyu/CYCmW6r8dlXyARt179GgxuxvyxPnaq+ +w4QtZdHf3m4gEOetdaVsEROaxi4HZxvjfa9gJXnsHr7vleHcw0ZYfy1iwV/v +M2Hu2YBbJoYESjYj/2g9ZMJU55r1EgY4X9ok0i8UM6HfKuwDcz2BvOLWWXWX +4H52b3F/roffax6R31rGhNFzOQMX1uH666rnFJRjfA6dOOmlS6AwfbUF3EdY +Twk/xNbp4P3wyGMt98e4P883Vylrcf45ux168QTPyziVVR1aeD+jrny9+CkT +3CPmlZZoEkh2dIHm0WdMuPs2RD9Og0BWCYpPm57j+TXsUO2kTiDDSCcX7Som +TCeVmquqYb9WVyxOfYnzSzqxfkoVz4MtG373vsL8Lmmx/LyaQGnjg12Wr3F+ +KF3/UKCC+X3/te9uDRM6y75ZHlPGeZHHkiBrmXB1V2K91SoCzQaq7fJ5i/P9 +YpH50pX4vmW3i2uBCZa/jauHlhPI/7bD8mV1TBAdM9FHy/B8ZRuUx9Yz4aJO +WckVJQLZtu51+fkOzxvl1JUBigRK2P9YYeMHjLdb65VNSwmkemLn5PUGJkS7 +JIlKKmA+5iiPTPyH5+G9wmiWHN4nZzYRLo1M2PxFpe+5LN6nLXPXPv/EhC97 +F7ikLMH1tG2KlPmC+al3qfOSwf1dU20/1oT3qTtz1q5bjPPupJtj61eszxOL +r1EWYX7Cvnevb2FC2sczvO9SBEo9WHg16xsTHq5yOFgiSaBaq9f7R1vxfBaJ +ajgtgfUltmb77nYmhAhmNJwWEujwdfbWyu84b7J/pK4Wx/pij3su+sGEkzYS +A5PzCVTUte9yRCfGo/SG9ad5BGqOWEn99hPr1/TU3XwxAv2+Ymqp38WEwfNP +eEdF8T65/nlDNhXjK7HRxVIE42F60W+MhvXiJV0uP5dA6XfrFZ0ZGL+pDeQg +BfvdxXvoORPvQwGPnN+SWC9Wnp2ybCY8Wh/+IIsgUMeBt/QoDvZ3zdRQo0AI +2vlpwh/dTJDuKUo9yhPCql60yaSXCZNDDBX5WSGo6fpl3uxjQiuz+FXtlBBO +HY4keP34fRPX1n9CCHcSxtL2/cb5XPf954IxIRwO6lkHg7i/RoNDlX+F0Klg +92fVMBN0RxcPu40IgX5SrfHsCM73HUcjBINCED97srb7D57/P3b+uzcghN3K +1l+sR5lQ+PhGuF2fEHxtLk8U/8P7S5fPwGi3EGoH9pqIjzPhyZFcn1y2EJZO +5+aETuD5ctCi1ZwphBR/H+mWSSb86nDe2kPD9awoKdKfxvtZS2v5xS4hmC+L +2X1tBut738sl+j+FkGT/den0LN5XU4QxnR1C8Lz3iOfJw/NrX/HP+HYhvFus +MFvLZ0LyQIXxmlYhhKdLLVYWMmF4g3Tm52YhRIhctzxPsCDFubEnokkIi8If +ZfWRLFhs92ODwmchcF+5zdjOYYGi+obktx+FcObX9VMVc1mgOd7T4t8gBPf3 +IQqLRVlQXMuUF38vhKigruYTYizouazqVVmH+YDuOz/n4d9HVtx0AyFQX6Rd +NlvAgqATpzr4b3D9W5uv3RFnQVdhiuS910J46vr8pYgEC7yJtm22r4TQ1G86 +HijJgg8FbpF/Xwhh4VCA3VcpFrQkyxRefyaEkd2bavUX4XrezWncXCkEM6kX +NjmLWbB3/5oRdoUQBEt//eXKsKD+4Amp1HLM98Gyp76y+L5ff9euK8V8MLUy +PsixoLXlqvX3h5i/ZM9kLQX8vGu/96n7Qri6c3NuxlIWDO+3DVMuws9Kre/H +FVmwRNz19H+FQsidXL7QcxkLlPfFJ4cWCOH7R+UwWM6Czv3okkyeEJTTGb9V +V7KAtXRpRvUNIXzQ9zibtgrXk5OU7pMjBOOnmYZ/lVkwy6KkiFwTgr3gAum6 +Gn9PXo4vyxZChtTWgRpVFrwgVCN2Zwrh5I/aQWU1FuT31flMpQuhwoGYn6LO +gvvgb5t/UQj6AQu2jmiwALLmr9+eKgRHBfoVZy0WvD/8SGYgWQgKHnFkjTYL +wnY4/Lt8Xgjjy36nKuuw4MDm3i+GZ4WQ5ammk6LLAq1dJ4p+JQghVMxwcGQd +C3SSpk6cicP4KMq+d1mP+RgItFQ7hflJ/fzyjT4LtM83Sn6JEYKDrUfDakMW +RHvLfI+IwvrZi/6kGbGgItYyR/44xiePYvjPGPfT6+FSGyGEEkWVKx4bWeBT +7CTlFy4EiQ+rJOpMWOD635oP80KFEJxF3NUwZYGeXUdURZAQJqPe7c7czIIQ +Ux9V5yNC0AoNXjZtxoLDt2ubZg4J4UfwLOm7hQUH40eO3fYTgsqRY5SPFixI +Y4zIWB0QQpDX9+V621jwu7Hmye/9WK+b1jjnbmfBMcs9NpneQvjE97tPWLFg +0uUxzchTCM8LriwKtGaBrkhLaJebEPqlq3K/7WDBG/fKmTMuuH/Hpk2bbFiw +zM0pUW2vENT3dE3dtWXBM9HSuV+chHBFgt0sbs+CxtCacxG7hMA5zak/7sCC +jOxEgZw9xiuH1ULbhf12aub4GxuMrzN9xtqJBdY6q/oO7BDCxkddZk92s4B8 +/M9ZzArn2Y2uvKV7WcAXCXtbvk0I5GKm3DlnFvzckLF6jwXWi+Rg2ZALC+Rt +956fMsPnpwm8XN1YoLDtJTPPVAjFscvUkTsL1qx5tXGbiRD/77eW0PJkgd/0 +nkt9xkIouJMgedWLBb3ofNclQ+zPxo9aAm+st3O2avr6QpCyVz14ZD8L3Kzu +hPxYJ4T1yleft/qw4POC5IrTOkIo2q6oYnaABZmdE4PK2kKILntV+vAgC1Y9 +G1b9T0MI6Xsidi32x/UWBHmEqOF6Dawl4g5h/d8OTF2kKgRih0lf32EWFL3u +e16lLATDC/bUPUdY0PGP1eW1UgjfhhKHagNZEGvvIiCWC8HuWJe8ZjDWy2fz +ZQ8UhXBAxmv/1RDcb+QtIzsF7I+PFCQMZcGOHUds/8oKQf5y++bgcBbssrvr +eU1GCPu8Wts7jrLgzFnrw5sWCWG+juDCtmMsEP+7O5QhKYQ4nodrRSQLKDl1 +4ecXCuHQ+74tiidY4BGbHaq5AOfrmRLL5Cjs17y6w1/FhBC49o7/v2gWOJH2 +XpEiQpCEltv7T7LAqlTXTmGOEG5u2DT5KZYF624eNq4lhNCXzgjYcJoFoW1/ +lx0UCGAeqh8vimOBifsngShPAOP/9eRJJ7CgTOtvV9mMAEYLbX3jzrDgrb3P +c6cpAVy3HjP/nYj7R0tSJsYF0PSctdHtHM7DCxJuN/8JwLNHftf78yz4cdda +ectfAWztzIlfn8wC6pLaXs4wPv+836eCCyy4RQ99mDIogIcDp9cvTGXBHtLV +T2dAAIfJ3mcn01iwIv6YYmuvABY3Fu7uu4j16Iq+RHULgL758QKXdJynqZtj +ldgC+Okqw6i/zIIAxW4VxBBAs3zzV71MjP+85w3+NAGQJ7t/FmRhvveWHJrf +JYCQaBdC4grGj4+EjzoFECStuu3UVRboi05f3dMhgLUWe24PXMP+CLVbM9Um +AMM5bHn3HBac1X/15NY3AXx3+17WkIv16Gq6waJZALWbdL2MbrLAufPbq+4v +Aph4MLLm3i0WSLyKMUr9JACbPIWFMvksEJlY+0jnowCOyFdInC1gweXLgytb +PwjAY0ml1uhtPL/OVaZHvRPAYNZqP987LFBpPzWpWCeA3eliL5vvsmBD/A5P +eCsAsbk+alvusUB4ZlG13xsB+E1oV1bcx/nZ1bF43msB3PY66rbiIQvsLl4N +KH8pAF0T3aWXi1nQnrHjpdMLAZxICZjkl7BApm+InHiKv7dZ8Se0jAXGGYk7 +bjwRQPVJ5zn0cvz7ZEqKWYUAriksNNhVgd9/CnnHKhPAmPKO+LePcb64184k +lWA8rov16FayoGDdqJbWQwGsOO4YcPspC7bZi7h9vSeApOpVItLP8fwqn4w7 +dlcACofj3p55wQIX+/rbcoUCsIgOuDJaheeZ1qE3r/Mx3iPMcwdf4XzcRm3b +f0sA8g2DGW3VLFidrdpLuSGAT0TaS8sajJes6diD6wLIyq+dffEGz99Py7i2 +VwWQfCvFQ/0tCzBL/JEsAahND7XlAgtqqoy42RkCKK8aClxQh/nuOzxmnC4A ++9ZUpdP1LNhu4tb7K00A0Q4N/cPvWPC1eE57fIoALqjd++bzgQXX1ge+UUnG +/fms6fjWwALT5vO3G84JYOeE3eT2jxifuL1xQYkC8B9Yql/VyAKacauLZAK+ +3zQrVeMz1ucUX+PpaQHcGnzGu/mFBd3VbZMusQLQnj13UeIrPu+kE8xECyAn +YI7xmWYWmOlFnM0/IYBII0PevxY8T37qW2yNFIDJQQX6oVa8/4RnT3cfFcCG +P5VdnW0sGB26VJYSJgAJGmXC7jv2l91Kj7UhWJ9rJbSggwUoyZpsCRRAAaM1 +Vr8T59E1YVFkgACCx1367v/Eej++Y6v8IQGsDs8NX9rFgudKSj9fHxTARsc8 +mXQqni9J0cH7fQUQeM2vjaCzIKrMY5rcj/1v+bfiOAPjmfw24b6XAA54Wz7o +Z2K/ShWRNh4CCGccqPZms+CL+dz4IVfcb5NtfwuHBYckGeMZzgJYqE0aWPWw +4GiU3mGDPQI4PZV8o7oXP4dPfOtwxP0Z0ZV0+/F+Maq1MdZBAO09817fHcB8 +TDTlLrcTgKnE/OPygyyYE9k1hnYKoLGEaXNpiAVTB5xs/K0FIFeXZUqO4Hx7 +rXlDzFIAlXtX2ET9wXxE+nNKt2K+/VKODf5lAZHEV9+1BfM7/u2l7z/s797R +w6ObBWAlxlfoGGPBzcvmhVc3CcCnQPy63QTOs+PMtg0bBVBVK9Stm2TBREY7 +2WWE+TrSxTGeZkFJh7xWvIEAVAsLn5fP4Pm75aG98noBPDm8+44KF++ndQmB +73UF0IL+lOTyWJC9u+BMwFp8/9O4r5ICnH99wqwFWpgPU75kkhDrN/pO/iN1 +AZT5Hg3mEmywnEkoclqD+VP7yYmgsMH/QG7RmArO18smMf1z2FB8vy//+ioB +vMq/ouEjwoajNUHZJisEwHMdGP8uyobZnBWJVCWc72820+znscFbjwhKWCoA +pfYM1rv5bDh/cqGDirwAvAq7SVNxNpgesdD6sEQAUWvMzJ8uZIPiaC55ZLEA +UgNuXdeUZEPhPJm2BdICWBRMit+RYoN8UVnBIwlcz/qIWwqL2PD4uY+/kzjG +793QjszFuN71a1XH5uE8Uo6SnreEDdISkvRrogLQcpKaSJBlQ5ApJXvjXAF0 +OL+emJJjw9hjEYsuUgD3jE4uPqrABtn9sv1xQj7oTDjY9S9lwzwT3bRVfD70 +5mwq9FViA93AQe3dLB/uqGxd9HMZGxK2hr85NM0H0Ty/gt0r2FDunGU/b5IP +T0Tu7fi0kg0CnycdpWN8SAqYK7FdmQ19Lo2eDqN8+NaQPFKjwoZHGj87/4zw +4esanSFDVYznJ6pT9hAfhBdnRCrWsEFV51u94W8++PCGTdXV2ZC77Znujz4+ +lCQsvFyowYYTvISrJ3v4oLDUjbdUiw269objShw+6Dc3J1/RxniubnJ4y+TD +4IMYHQkdNhw+tuOOL50PMvf3/k3WZYO4duEIhcqHvd8ONhN6bOCYtRvd/8kH +tK74U+x6NhTcYkbt+MGH7R/XsMf12fDSsL5yoJ0PGwtosuGGbMieOdF7sZUP +Vq+/HRowYoPzr+klui18mKc8t9VvA8b/vx1mLU186P8V5UnfyIZbj318jn3G +/Q9oC903YT2dMzu1pJEPAe5rUJspG+r16ZlVDXz4pHUof5cZG3aWmxe6v+fD +vyPD1xvN2RDM8CqZrcP1yKNySws2bKjRL88DPhw3Z9BhKxsu6aJi81o+3O2x +1zHdjvvXIG8zX/PBY5F4bpUlG45d/3f57Cs+TH5SWqlvzYZ/AVkxqlX4PIXE ++kc72PA17ZdXwzM+BBJmZzVt2LBo+NPGI5V8mErdvf++La7/tI/Ugsd86HiD +XJXt2bBc/RqjrJwP+wovBec7sEH515ESh1I+mG5+mbfUkQ0Lzv0I+fOQD9nX +tv2+5sQGESm6ZtZ9Pnx5qee8eA8blgWfZOoX8cH54blfl/eyQeP8g8z2Qj74 +hZnFibtgvVkf3BRVwIdH0r6bU1zZgG6X0OTz+PDw5rC8iDv+/tTJ2OobfPgs +3S911oMN2z58lfbKwXqJ260q9MT1Bz0o5F3lY99ru5z2xvp34WsWZPOhyOXk +3Zl9WP/HWsq3ZPKB1Wq6MNoH66dimSYrnQ/v/U9kj/uy4cg/esHZi3xIlNMw +OnaQDf9pLZFUTeWD44jL+B8/Nlhtq476kIz7nSBaQg9h/a/+3Hn4PB+eGWh/ +HDzMhvxqa8N5Z/kg+7SDGniEDRdGNFJLEvhw86SIZH8gGyrLw37YxuH7s6u9 +DgdjPulLVg7F8iFKbOJDdwj2T4iCb3oM5odRbe8XxoambVE3daP+778Ff1nh +bFhno/21OZIP5tS+x74R+PxAQ+7RCPy9jMslxjE2yKVfVl4czod7bXuT9h9n +AyPPeOuzED50ru69STvBhreJmp7OQXxQlZJs8o5mw0FV/5CJAKy/vCYlagwb +nEI50dcP8cHtp9oFr1g2/LS8d3qDH+bri5JU1yk2rLpSFNvpy4eK+IpnnnFY +Dxb0iJP7+bCeyzz+Kx73b7D7oKI3HyTtX+zxPMMGE5cZuxoPPgSf1HH4lciG +/ZfadL3d+AAZdv6e59iwC1EX8J35IHJ9Ue6v8zjvOhcx8/fwIeFGYr9nMtbf +6/AKcyeMT2G+S9cFNlzeNXaC4YC/fxnA8EplQ0zsDeMzdnxY189KoqZhPlR9 +/q6y4cPQZkmbfZfY4GiwtajOmg8L60Y06On/v3+z40FLPrTGJa3xyWDDHdld +45RtfPgd127OzGTDi+fHsou28OHQZ9rxA9lsoDg+1LQ0w/lyrOg/9hU2fGjs +r+7exAezU+ob/K+xYeECw+1JG/mwbTz4Xc91NjwbT/qwxpgP8T3HQgJysZ7C +uiwaDPiwwNNcf+AG9r/X+heH12O/ebcsCb7FhveF51XE1vGBMqu1ZDiPDZ3K +rSkP12J8NzvphRew4Xu9XP8OLT7o6W4LHL3NhqgAR4t+dT4Ud1Eg8g7Gbywm +K2UNH9Y6XV0/eZcNr20yuzRW88Ho+jSKuceGfofsFY2r8Pvq9aHc+2zoYJ/y +DFzBB9r7rcbxD9mwZ9AmY/4yPsR90FpGlrBhymbmTclSfF/DyIrzpWwwZCVz +bOT5cL41w1ysnA1br/yh/F7Ch78TUqfSHrFBa5ueUtpiPvwwjWiXeIzzpNlq +rZY0H6KfvbDNesKGb8t1jD9J8CHPj0Fb8hTzI8HZGCSO9eT9Nz33GRvun/E3 +XDCfDy8f/PZc9oINrW4VGqWiWE97WiwLq9igcLxW1nYufg4oslN9he+ruswd +IPkwPX4ovLiaDcmCFb9ShTz4IKL4ZG0NGxJ1gis1+Tx4WlwnUfmGDetXH01s +nOWBT+/+FKO3bEgFLdvAaR6YfB1b+RrYYMHOEZ8/yYM1oWfbzevwPAh6/qF4 +jAdzmhY+eFfPhrqNcTE7R3mQyL96ded7rAftP6v7R3jQOW95YdMHPJ9WiX28 +MMSD6/wHH/f8h8+brvNX/82D7X2Gkp0f2ZCWuWy2oY8Hjm0fj+77hP38n0zK +4R4eXGrx/8v+zAa90/ckRTk8+DqwIP1IExsqLn5Ov8/kgYN2rfXIVzaItieJ +WNF5UHA/bvnxFpxH+i0nurt4cPDgrkWz37C+kx7Sz/3kQUrEepUzbVhPxfMs +Vv/gwVm6hpPodzasiP17o76dB8rVxrcudbBBpcNr6EArDwwX7psj08mGfTd2 +bCBbeMDsy0+58RPjW/gktrCJB+6uXK1VXWx42nClastnHigdif79gMqGof7h +3/SPPFirteQ/HTrun10jH9/Ag8jSNvScwYYdGbObl7/nwZeJlz9MWWyw+fTA +800dD84ovhN/x8b9h9Ue9QIeILUpb9tujK+bacLsGx5UaLp+/tbDBpbP8uQb +r3kQqMt29ehjQ9UB36SNr3jQa5UvZPaz4doGMu7HC1xPXOqHI7/xvlTDC4l6 +xoMwVnHx30E21P7n6CJbifs9xy+OGWZDidGU0fMKHpBhqQ3EHzaw6X8k95bz +oOT5LjL1L/ZLnjFztATz4+PosegfG7bv/FiS+ZAHwWfTv94Yw/vV6zvB6+7z +4KK6+AGVCTZ8+Qxrvt7lgfjBT9Jlk2wYdV7ZGVLIAyezJprBNM5f3dqz4gU8 +0GiU/fhmBvtz3fU1pbfw+UseNFtx8TzSe4h23uDB+Noz4195+Pv5w3v7rmM+ +VB4YuwvYUJPpz0i6yoOcuYrXWUI2ZBYs8FPN5oEai7Y4mOTAzflUen0Gxve/ +sfJxCgfuFH/fcyCdB/8+7POPn8uBzXvG3wrTeOA7vNxknigHvlINVxek8MDb +3lg7W4wDsSuuJmxO5sHSf8Wbls3nwKZhyfZf53jwcSg64MECDtSvuLvqZCIP +uHb3K/UWcuB2iu0h+QQerFc2WFojwYFVhMjdF6d5cOLk6gIrKQ7s9/zasTeW +B6WHYixapDlgHFI05180D4zHDQivxRzwXJCokXmCB2xjd1qPDAdM5vtb6Uby +INa078dRWQ5Imtl4fjmK/SrN+cOV40DfSZ2AoDAe6DQ6rLmgwIGLVyRC5oXw +IC1SM2axIgey9/UeeRDIg44VMf35ShzwLXu+zzKAB3m/TKM0l3NAyemELduf +B+9fRim/WMGBpyvWrDtzEOP7n9Zvi1UcoA0g8RW+PLCX92z5ooz7OW/FrNmH +z3sl2u6+mgN18Ljcw4sHi2v1J7pVOfAtjHd0yh33Y8A0iFDjgJafhs41Vx6M +ai7K5KtzIDxMj6XvjPPg6X/z0zQ5wD+wKL1lNw+mGCJ35LQ5sEjqo16YI8b/ +bZNL0VqMp/XuL+IOPJg4oKyhp4vx+1niU2KL86iTolC7DteX8/W39U4exBke +X2O7ngMH9rwJ7bbiQeH5aKcf+hwQ+Rnen7idBwO/JG/4G3LgLrfHc+VWHsjv +2CwcNeJAR6rShzfmPKD9Is8lbOCA9F4Jdc/NWA8PD6hKmHDgpNqrM1MmPGh4 +vY9zcxMHFrQptF7dgPHTmAaNzRw4r75WSd+IB0cJg9dVZhwI+Dfi1azPA7O9 +0q2WWzgwS+6/GqKH3xtki7VZcGCXatT7+bo8iKl87XlgG9afuuHQA20ebKJe +/PxnOwe8Oq+KW2ry4Nx/Yp7xVhyQELmmwlLjQdFZPVGJHRxIiF2/Pl6VB9QV +81pu7eTANZGADUoqOI8qMl9q2XJgYaS+0auVPPC0+vKm2o4DbhmZWi7LeTDz +5w1jpwMHqtXi5f8p8sCtzn9V5y4O6IhMcy8r4Pz7/CE+wAn3Mzn7Q1uOB+dX +smcnd3PAuuFc2UcZnJ9fa64m7+XAly0ZUYcWYX0NOtvLuXBAVVfRhCLFg6ik +x8oPXDlg5K08VrAQ//5J0xJjdw7kXL1zz3QBDzLjKtc0eHDg9Z0ch04xHszy +vJ1dvbB/HIiR4yI8ILa3FvZ6c+Dewc6kRXMw3/tlxKP3c0C8dJlsBYHv81e5 +IuaL/TjceMtWwIU4f9Ik9wC+f5K6tI/LBW74U56GH/4+fU/GuRku3Lu5gV7t +z4GJWHXeyikuXJvMptke5kBoirvvm3EuDF1pmO0K4MCLOHaN+z8uPEluNwoN +5MBvlXrJiT9ciKa/vSwI4sCPLePuWcNcePr4gkhmCAeW5J24qTPIhR7x9TeV +wzC/gm1tjf24HpFa+2fhHChf5zHncC8X/pXrLLeK4MCciedalG4u3JRPEv9x +jAMlsnttClhcOOz8QT7wOAeEbno+mxhcuH3y71buCQ4YnLUJ6aBy4cG1eWnp +0RzQ87x19NgvLmyplfq78iQH/79WCZHs5EI1Oe/401gOzNOi7i/9zoXvx8dk +rU5zIKX8/U7rNvy9Tvv3H3HYr/86Ndkt+Nmk/FlQAgeSQZYS/5UL58viHvPP +YL5+Rn9b+oULL3JtGzPPciBsDi/nRSMXImRkSdXzHNCl3HbZ/R/udy3D9WUS +zqsb+xYMv+eC1lTpJ9sL+P5LhlUp9VzYlRLrTU/hwHD+Kg9VxIXgUceFx9I4 +MJS1YgxquZCzTeeXyCUO/t+mfd6rhgv/XVnScCMd+017+8KpV1yQGRNr0cng +wHwXv4vZVVwIj5o/XZfJgf+CUkjd51zYt07J3DUb54Pu47DGSi64rN9y9/cV +DpzwbW/1f4zPy4hWTbjGAdt34zrEIy6Ueje8l8nhwBV5iTO3SrnQV6ZzrjgX +97NCsdG4mAvDlx/7mN3kwP0chfmt97kgu2yXZ+st/HtLEYvQIi589hePDMjn +gGE3NXTeHS4cjR0o4RVwQH9DXnZRAReYEb8FWYVYH7wtFeZ5uF9f6WPqdzkQ +Pf4e/bzBhQnnfXNqizigRlP/dDyHCzsOtz3dc58Dz08c+iR1jQs194+f6X+A +9Xc6tq40G+OjsT0kvpgDcU/8HltlcuGx0CJqSSnmr3n5VWY6F6y3Hi0oLeNA +8PX74acucmGtoLXb4hEHRt9NbZVL5cJ922CbHxU472QXiVcmc+GkiemX0Cf4 +fOuRT3bnueDJsgyd+xTPN9lLib2JXFDYm7b21jMO0M37dBMTsF7vSCzQf4H5 +jee1KsVxYTW7RaSxigO/Mj6GVsVyIVC9Y6XvKw7krtspdIrhgvD8Svepag7w +FGIuDJ7A+C16XHG5hgN2Yi6iyZFc4P9MXq1Wy4FLL7pOrYrggtd0cVXtW5xf +9Hn9r8MwnnHyR1wQ1vPmn7YuIVwYiW/fMFyH8U+zufcnEJ8nyV6T9I4D/omu +46kBXFDask1/+QcOPOribVI9hPvXmPJ+0YDzYo9JzNuDXEjpojxw+MiB07fn +lbv7cqE/OECit5ED604FdPzbxwVyRO1K/Gfs/4I9U5e8uHAuevsG+SbMf12D +pLoH9v9SmHn8FedHPlpW58qFV79v/drZwoGk/s3KXs5c4Mx2/WR948Arr43L +JnZzYa9f4lRsGwekKh5LZDhifA0uGyz5juu5fntCw4EL6mfnXn7UwQGfL3Pb +621xPh3oFd3RieejCLXYeycXFvUbFTB/csB9Rvn4pBUX1qlP7I3t4oDYvjaj +zO34vaGaxhIa7rd3aFhzKxemV39WrKBjPuyC896Zc0Fnfq/2TiYHWrbabd23 +mQuzUzFebBYH8uJSqZMmOP/mJpec5nBg5plKWOYGjK+llJx8D55PN2QmNY24 +oP1F7k5lLweWst2Pv9PH/ZcX2Nr3Yz9v+9PvrceFnfzixX0DHOgOads7qcMF +x+YNM4mDHJCVo7zI0OZCxiYHwbJhDrz7G71QU5MLg06Dyq9GsL4er/esV+MC +qC3x3/uXA99F1hZ4qWJ/fGt8PzKK+bjv1zmuzIVmf0nLtDGcF1u+z7u8EufX +OIe1ZoIDXRfi1qkvx3hfsy+om+TAWV0Pe6TIhTBv25P7pnHe9/j7eCjgPPJi +HJuZ4cB77/wj/2S5YFYicfEaF+eDtTDgogwXjnj+qFvPx7/ffWGf6iIuhCSa +y38VcGD7On2bWkkubDWyuhhEdINhBk/LdSEXziQNLxejdANvFYfyZz72Y7pJ +c9Gcbvhzhd1yQQzj5a1920KkG9bkTF1dJYLxEfuQThPthqCfKxyrKVy4UDTv +Vuy8btgy30W4m+ACsWO6QX5BNwy1X7//mz8LTMr1RS/Eu+HIb+bWc9xZQCOc +2D0S3eA3ta5daWYWfizrpvyV7Ab7kjPezydnYW9Rbkm6dDfseNT8y358Fv5e +nROuvbgb1j1Z6tgzOguHxNT3Nsp0w+39XtVxf2bhpKSIa4BsN7D9s5bKDc9C +BNyOFpHvBjL8VXjF71ko0J15WaTQDa80mmqs+2fBPVxGfptiN6SafeHTe/5H +0XnHY/29YbyShlnS0JBSCWlIKiNCaSgioRAhodRXQhnJCKGUIhVJJaRCZuRK +hGiIlgalZz/Us1fid35/ep3P55z7vu73dZ3n8xcZjl3lXP4xh4I814o14b9k +2N1wadXpeWS/RVE+qj9lCPzzd3DefArEdkuS7vXJcHnL8rYGLQoMIx/kW3yT +4WOv/rN9CykodlMp+9Qrw8Inok8ybQq0Lm2qOvpJhkRZhsq1xRRovLEvm/hB +hpjHwz7rdSh4U61762a3DPoi08+fl1KwRPg2aW2XDNd6HYIi9Ch4u8rC9+1r +GX7/Zz5v1jIKdKeHGvt3yvC5S+53jQEFG22DRkbaZRCrFn53WUEB4+iChqxW +GTI3LBkUryT9GGceXd4ig+eJsxpXDSnItXo6q7VJBt3Wdr91RhS8N7lR4wEZ +TLb86fq8hgL2i2V2wgYZpIrDe0+uJfM8F/Qx7YkMhvpcudnrKegzcN6zqJbs +V9XV+cSEgpw9tM76Khl8m29U7DOjYKh4zlqnxzK0+bnUDptTMOU1N5tVJsOk +x+O+51oQnnz9fp95KMOjZ/laFhsJTzOOm2iUymB/e3X8DyvyfOLMqLJiGbKD +no6Ps6Ggxtn+se09GXINLe9qb6bgp/7MH313ZJij2Oj7wpaC8feDxoUVyLBZ +Yb21/1YKtoZtna2cL0OI1WPLydspyFr5QOdOrgzeHcs97ttREBeVqWd6XYag +6gdXd+ykYM+wZGH3VRnOzDLk/7GnYIbjlykBWeTvSY2HL+2i4Ph8I8Fopgzs +q07ya5wo+CYv9zrrogyN/YKGT7sJ/4XW1w0uyKDw53bmqT0UCG/xPFvSiB7f +D6TMcyX85SjN2ndOhj+Nq/OeuVHQpn++lZskw56iWd0++ygwkR0PTE6Uwf3+ +tMUTPSgYuf1Ebn68DJU/lmSXeFLg3+55qSpWhqeuu5fu9KLgzASPGXYxMtjq +533melOg9K/8wkCkDM0BE4qu+FAQtm3vSMRJGWbqXcha70cBM83xgGo40eeM +yZ3vBylYfyCbXL0y9J9ReHfmEKnXf7GCWQjhf+PYeUsCKXAxle7oPkr88l4r +uSOIAteTqkmHjsigbh+kdvQIBVcbfatGAsl8mgfqpx2lIPie8PPlQzLs35aS +UHuMAsrbRq7eQRne8L0Oe4RQ8KSnYfSZjwz1n4KOjwulYN/OwXEu3jJcn1Ca +c+8EBawvW/8OespwMEu73y6cAlP1bkacuwx3r7+35kUQ/i+f6Zy1VwaqflNb +9inCn2j37YcuJB9c2YHmUWR+77ccs3GWIX+Ns8GvaAq6Wt0MvzjK8O/LGNWU +0xRk+ycwjzrI8MKVo7riDAVF9i+uyO8kfL5YvPJDHOFrpsba69tlOL769tHI +BAo0XaNer9wqw6q6wDcLzhK/F7FdWzfLcDEgxq49iYK/t3x699nIsMjlBzM4 +hYLCLz92cjfKkJ51qXB6KgXTWfvrzlrIMLQhO64hjQId/++z5pqT97040T7n +Sf8M5yPlJjK0qOZfVcggfpNrrd68Toav3kXd5RcpaLDXE35dQ+oLVFzmlkmB +r/fppf+tliHBrPPOmCsU6L9pcpiwSoYLv5lmRVkUKOv/PnJ9OfF7RoDA/ioF +pUpjY1cuk6F8nV2nOIcCj4nisy90ZZgry2y6eZ0Cg0ev4vbqyHCbafXJNpeC +19kxx/8skmG+xj4lTh7pZ/dkt4SFxD95fV5X88l6RMBqDS3iv3Nv31sWUDAp ++/q4h/MIH4IVh5i3KWjdeKPVao4MV4fGzrl0l4LliodOf5pF/H3OdsjkHgWq +iX+XHZ5B8rBvXP+vItKvpdPbMeoy1P1dw0kroYDzNujglakydEkGtIxLib7P +N/J0VUn+0hX/639AwZWSdyGNSjLY9Vb8SH5EwZiZsxiOCjJYUnqPGpZTsPDq +VEf6RBlezY3X/FZBQcbTJ2WR8jLczywbTKyk4PyMKeOnyMmwwMP3y4pqCqYa +qtjdGUPyNz2f3ltD5p9XnrxuRIoKY3/1hDoK3rFEda/+SlF++InX8noK3O58 +6feSSpG+8carzw3EL65uMoFIiv0dKq7xjcSvV45OThFI4TJbXW75MwpOMTSU +5/GkaLB6+PpzE8mT77vly/9I4ePSXxPfTMHKMfN4NkNSrDlc3LT8BQUfvgf3 +fGZJSb0q7N5WCvmusS0+zJDi048pRontJN/Ft46PoUnR61dxY2UHBVFbowwv +/5LioLFw0bdOwkN8N1XnpxQb/b++SnpNQfnyW+n1fVLYT/S/vPotBYs+UnTt +v0kxrHctsr+Lgi1y154M9EqxmR4Wl9pNwTmLpxZhn6To2D5atPY9ySv17XWT +P0ixInjNn18fKAiZbKmT2y3FY885zhmfKNhRdDVlZZcUS1c9/mLWS8HDiF0/ +ml9LMU40cpr5hYK94/z1XTql0GsesynrGwUvXn0IZLVL0Vj0RNe6j+TV/mt5 +0a1SfKxfvpzTT4HAorx1SosUtYr7HXN/En2FM37dbpLCoHRH1rZf5L6b2M43 +hhQzy4alYgoFntJnkpcNUgh0gqPv0igY3TXCdX8ihYPOHS0nBuE7K6r/T40U +r5/l/xrDoqBi27qmuCopbk042PqQTfjiG2RPfyyFloKo3X2I7D9jr3dRmRSG +Xx3ZCn8o+GdUN9/0oRTbLsQY1HEooPXYdr++LwVvfeQFfx4FcmHjTnoVS9FP +3zZ1hoCCaXnUafxCKWwe/qloEVKQ8GaoIPGOFNLcoNDjYnI/pMxcMqtAil/t +z5wXSsm6w/7ckptSTLbk7nknI/l/t2mSea4Uwlmj4bHDFNyYZHro7TUpfu4f +rF0xQvL/b1u991UpVHTrNfpHye+zf75ygitSuCYeuXZ+LBWeGSoWZzOlKE2S +N90gR8VOw6bgWRelmG2Z+HdoPBWLfE5eKjkvxdOm319zJ1Dx49bqErM0Kb7M +tvm2YxIVhkcGq96kSGHukTT8bzIVwdb5VV5JUmzKe2L2UJGKjILtxbwEwg+r +/4anMhXrJ7EzEuKkOOUsnauqSkU999ThGbFShAxNeoopVIz/JjYtipbiTtuU +6GNqVDyy9hxdH0n04Kp5LFCnQu5uSXVnhBT0mKke3dOpoEf2enuESTE2RiU6 +fiYVLGv6mD/HyXzHKD010qBic0RXZux/RK+ZSvNos6l4n3lxttpRKaa+n5Kb +PZcKzak6V24flkJ501zzrZpU2Aemy60JlCI5cuU/2XwqjDSa/Fr9CY/n7L+X +LqDCLrux3sWP8BYT+d1Tm4oHHnHyzANSnA+s/jdlMRWLqZOsT3lJobl/3Ibm +JVTMLtwZqugpxWiAd96JpVTkznLIubFPip7cD5pL9ag4UDm5wsCN8DDZG1/0 +qejkhDc27pEivlE+Nt2Ainc22Y32u6UwefnCy3IFFVo6vhU/dklxwfy2N38l +FeNUvub8Z0/408+PKzSkIvCoJHTcDikC8hub3YyIPs9qrTO3SZFfMmaxsjEV +z8JnTVi0RYodHocKn60l501Sb6jcJEVim9g2dD0VFxj3/DZZSxEnLpu81JSK +Nald4z5aEn1GrrC/mlGR5nsu8+AGKW7Qi4YubCDzYrybKTaV4m4bW9XGkorH +ybcvJK2X4kOJl6NkIxW76v7KZq6Vwu/W5KpSayrMBz+6FRlJyf3IWOu9iYrw +zFWl6wylWCI35ut0Wyruak3ita8g/KbuyuvYQsVUeRd9NwMpxvv1nzm9jYo7 +5bNdmXpSeF6/n2hkR8WfLPuIk0ul+GpeW8zcQYXOYl7q5CWEJ/eJv/PsqZj3 +auRSjjbJs3HXHXfvomLb3//SdRcQPWxOfJrsREX7gi2RdZrEr/pXo7CbCveH +0e5b50qBNnmrE3uo2KuquqpXQ4pMnWc6+q5kHhUSyaGZUpxwe2nw042K/RPW +VkrUpagL0N6dvY/wEd56IFlNiucBXdd2eFCREHJ7/KwpUtz06x47fj8VF307 +cu4pk/eD9FOeeFGRV7d24VpF4s/k7yv/O0BF1Hd6buskKV50sCQ6vlRcM/2k +tGcCqdfS+WefHxWTLcYdpcoRP4o1WVf8yfOOfi2hY6XYN7x12o4AwvuPYaXx +oxK4un92Hx9Ehbfjiy2ZwxLo6rxqrT9M6lWrD18ok+DIQZ1dx4OpOJHyJadc +LMEX3cG/eseoOKOl9chSKMHWmLltA/9RIbJIrnnLk2D5sScV145TwbZXfezJ +kSBPub3R8QTRt7b81tCQBE5etmyFcCp+9gfFR7El0Ao3WdccQcWq5SauikwJ +fnvfvht5isx3sobWNZoEB5ckrDaKoiLy8/ivSykSLPnU93MwmorEMbLkmp8S +qEZXld09TYUpXaC7uV8CRR2FfM8zVNRxuU/ff5Ogqq/v0cx4KsoShmx8vkhg +WrHmR1cCFafGUxq5nySQFk9Zde4sFZM+vNOP/SCBy+f/CqyTqeC4PU5V6ZFA +YrXP6F8K0UeU0HejS4Lxsje06lQqVihbL9J/I8Gv8W/rjqVT8WIMy72uU4KI +UI8HeheoWLc6LNn2pQQs+6gmSgZ5fgKl8EOrBMF3DER5l6jgfVlR69MiwYGo +49vdLpM8VNvTwG2S4CnVvmlaFuFT2enxaUhwj9ri8iabCkt97VzlpxLsSX+v +kpJD9Hj1/OT1JxKsosTSrK9TsdZh+VbdWtKvuLNv5AYVh6cfUKypkmDa2xpx +XR7R49TeZzaPJZgUsXnViXwqnPqmHeouk0Bu+GTqygIqFPPOjfN6SJ732T1h +8DYVu2fWXxi6L4FH/adb9+4Sfe/dUo0slqBBeYKnzz0qDpaYxE26J4Gm70+T ++cVkvtFx9Ct3JChoDVr3tYQK68gTFtoFEoRb3duTXUqF85gp58pukvP6r1xx +ekjq89/ZZp4rQeO99ULVMiqsFA3EHddIf7cvn3hVTsXSzUUarlclmNBfNCPl +MRUKIQ3LqVckaPKK+LypiopQhp9xSKYEF9bI14+rIXkz7tbK0QwJig/sakQt +6UcjcF7aeQm+8zwHop6QfhKeDs9KI3pyVuiYNFDheiP7zd0UCXQOtKaJn1JR +Uiu4ZJgkwU2HRdOqQPZf+W4rEkj9LdufhDRREbNXl789ToKVHRviVjZToZ8u +Pf/5NKnPZzTwdwsVxzU3zPOLlqA570JoaSvJGx9+LveUBIdiuHmB7VS8rJg+ +NSZCgnRVHdbSDire7r8VphBG9ncx3EPvpMIXl95kHZdAef/0X3dfUxG3mDZL ++z8J9i/rzvB9S0UTNdv5UbAE89oD92u/o8LB6U6C6WEJbq3/uXOgm4p/zyYW +tgVIQEteu//WeyqWnGmsc/In82w4muH1kYo2agv6fSUY+po6MP8zyVPLmbVB +Bwifg+nO/b3kfh8oLxDvl+CqOJyZ95Xkw9yLp+M9JKgeZ5fn+Z3ou6F8p+o+ +ope6UqhmP9k/R2XKdVcJ+KueBPb9IHkbebd5yR4JOnxc4/IGiD5rQgIqnCSQ +PWI88aQQv6n/N3bDLgnSZh9Rn0+jYtA/L/XlTnLeffr5fjrhIVo00dmO5E3A +Xr18JhWnC06E/dgqwb89bTQvNuFj0axPQbYSeEWubFkwRMVR+y+6YhsJHPuy +nw/8pmL7sdrgOCsJrM+M/rzNoaKh++FdZUsJjI8ELPTjUWH2vO7NVXOSLwWf +4pcIqPic8oGpbSqBlb7dBIaQrIeOiB6uk+DJpJfFxWKSP50rReuNJUjY6BAc +JKXiV+8hestqMq/eX04Gfwn/jIIO+1USTH+fuPfPMPGr5debX5ZLMLJ2XVz5 +CBUtuir+fssIH5P+dZAf1vAaWqvF0ZXgju1HI+NxNDR17+48pSPBsOwFJHI0 +WC3wPiS/WIL3S94E1cvT0DbfTXxhIfHTa866mIk0fFZfHzFbS4IxghU6GyfT +kLb5H+vOPOL3a+nG4xVpSJfdsl8xRwK9l4r+bUo0zA7TLqybRfIotrT2nAqN +3MvRv61nSOD3/D/9nVNo6Pj4YOmbaRLszfDAVDUa9tg82u06lfDA/S/0wzQa +NpyLCRlQIfVQy7blTKehhD0z7rCSBKNH51p5zKRh9/3weNFkUs+l6r0LNGi4 +oHgtLHYi4W3HmcvU2TSY7ozcpyAvwfU7MX+K59LQVTnT8PI4CR7llAUFa5L3 +Y4Nk88ZIcHaFxuTVWjQc5IZU3vsnRrLfkzbxAhqMt+h5rforxnazrHsN2jSk +tKT/eyIh69UPi84spqHsbk6ajUgMrY/ynZt1aMjW26b8hi/Gsuu5Kkq6NDy5 +eP20C1cMlnzE8Xd6NCzWOPfrx28xLGZkS7OW0XBqZOr6wEExmt4M57svp2Eo +ZkUsnynGI4P7AQtX0rDxU19tFF0MvtEdJ8YqGjqt5/6Sp4pR8pPp+XA1DSfG +UEbOD4ihvC4mNXQNDbVbDJVm/RAjc7VPr8laGgpc5BRvfRfD+cO1LWPX0/DG +3+mv7lcxNObp9LaZ0OD/WPN7xWcxPigopJ43o2F1qHeZ6Ucx7l7b5Om8gYbY +XzNPtPSI8eXVV8e5ljQYmGzQ3/FOjIBbbw792kjDo7Ku7g9vxIiaoZVfYk2D +3OnOIM9XYvgu7Zb8t4mGZ9/0RLSXYsz/RAtZb0vDpLHs/462ibFvgZfK2K00 +XFw4qV/cIkaonGVn+zYarobHmMc+F4MTmVycYUcDd8229EnPxJiQZFrsupPs +n+n/JuOpGFna+zq0HGh42tw9RqNeDAN7phJzF+l3OGnRrVqix0TGsXInwvd/ +8et1q8Uo3OQmOulMQ/2eJovyx2JMmmyRa+VCA/rM164vF2Pczut+im40nDMT +zm96KEaS2jH793tpCCr4Jd1SKgZ2Ym+uOw3rrORfdBWLETY2NemgJw37d+w5 +43pPjIolHz6s8KKhW9C9/McdMW7X3dwk9aZBMyD8tX+BGItqBj8+96HB+YuF +x5+bYtjOakxJ86NhWsTSvrBcMV5+nO65x5/w+5+Bw8g1MaZyhU5aATScEW57 +nHhVDJMDXkGsQBqMDKMnKmeJMX2hy53Kw2Td+Znd5Uwxpi37NhITTPyUNiV+ +zkUxfp7intp6jOglH1hScF4M18k5s9RDaLjHan+umybG6Nv3n/qO09AaoPuq +LEWMi+2FtcUnaBA/SGpdm0TmMTSlPjSchr0D/eWNCWKYr5veb3GShjurlp/f +FCdGfX7VIsVIGpRag/e9Oi3GjwWC1I9RRI+XuRpO0WK4l3erF8TQwPGtae89 +RfTd7oQjsTTcbKo55BUhBuVXeOr6OBreT7wupZ0Q43GE1Un5BOKv/R6RR46L +MTBcmfwukfDPkQ3xj4mRGvSuLjeJhok/j+46FSzG8JMcpcAUGo671t4dc1iM +qp+qZ4xTaSiO6mKdDRDj1+c1M+XSSZ4cr9RS9ie8XlV++/Y8DeXeXraZvmL0 +qeUU3cigIfpwl6fGATHObPxyO+ASDfK1Y/xv7ifzmNvzzPgyDYsODe1f7CGG +99XEUbksGlblX9p6f68Ymvf5+99l07AwflB7lasYqtvmD+Tl0OC7Wvy72lmM +40cUzh6+ToOw+2GJmZMYxhNrtpvk0uAZr+ry3EGMmCk6qyfdpOG+33SB7U6S +H6fczT7m03DyWsOZ19vFKDB1879TQAN149gxTlvFaNg6vzLkDg25kf3BnzeL +4ZVTtnBjIeHtoNMbDxsxls5VfaxaRPJyoZvmr41iBL008+srpkH31aDnIQsx +ll80Xf/gPg0ecQoZQ2bED4HKK6IeED8feFgeYiJGy5bKzdsf0RCW/L5ZvJbw +Os8wdnY5DdemnmyNWiPGta/JX5kVNMRrXK0bu1qMVWFPXOsqaSisN8g9u1KM +6z/bxcnVNMjUjP9TXC5Gp0p1rWstDf/WP1iToU/m+Tv++tInxH/bLrDUdcWo +PmGUL6mnocXz84WcJWL0ZL5sbX9Kw9ILCYs1F4khMNmkmgMaEgQX7hcsEOO8 +R/HJgCYa/haKFujMF+MFSyxv0kzyqrEy+f5cMSLeG1YqvKDBfVdr/4rZYqxR +ck/42kr2C9fRqZwphk3sibDSdpL/m957rpsuRs7CM+eiO2iY3tN+tkFNjMGf +sc92vqJhrdHYm5ZTiL/KwmZpvaFhQszJey3KYqw76XuJ+5aG1y0G+VsUxbix +0m558zsafObOTnk1ifj5+YrByz00zL9qcsBhAskvzamvDn6g4cu2VP33cmIo +GPJer/tE9Ng8ieoylvD6+z1XoZeGwLwH57+OiPDGon7t9y/kPj0QvnT/sAg/ +p927+egbDY53vCsGpCI8cb2mG9dHg37ooWUHxSK8G876sPsHDeoDSVlMgQgf +2Xm3dQZIHvyr5xzmiVCtXpkp+0XDsQ9jTDl/REj1+kx+zhE+IxxPHB8SoRzK +X/LpNOwTlN4UsUQonbtnZSiThoE9Sk9OMkSw8X1cZMumYbT0cMswVQRurI71 +nCEaLOQ6Gk//EuGAV+Xo7980PPTTKh73U4SEwX19zzk0fCffU4l9IhxW1erP +4tHwK6pox6RvIoRVjxsXJKBhl233xNReEQw65W0tRGS/rdRy5U8i9KzRfzhN +QsPWtO/bM96LwBoIXcuQ0pCkUfNBrVuEvAbKQMNfGs5Lj9hfeStC3/2osov/ +aDhrNFI787UI9jkb8g+Oknzo9lG71iFCa/CyCtOxdBj2Xts3t12EvepbaFPk +6ChwuHk574UIH45nmtHG0xG94chTrWYRTEOnVNVPoMOnaMzHgmciWI88s784 +iY7jmc59ixpFoMkKlfwV6Ng1/tDHwnoROu1b2GZKdMwbXd24tE6E/bTZQ2oq +dJxMqrpSUi1CTUHpFKYqHQn5DPdllSIsPxq5B1Pp+Gn3ctrDcjK/FSmNV6bR +8fC805MVj0QI6Py05fB0OlL84x3KS0WQ6gQIrWbSkfl590fDEhFMllm0aGjQ +ETTQvL3yHtHj6b4qzmw6lia+KltzV4RPeNbeNpcOv2eB8jUFpP/Zx0byNOnY +mHlt67p8EaaWB+0J06Jj27BLdF2uCGl+VV07FtJxQ5qXb3Kd8Kdpf2TxIjra +koMe118VQfuZybJ/i+n4WlhXZZYlwqwVp5Q/6NBxyCHx3tNMERjbVac+0KUj +6kxH8oaLIqhK/xon6hN91yS64bwI7fOsTnsY0NHrX65hmSZCbM4v5poVdNxX +2/7yWYoI3jsHwlRW0TFz5c5DG5NEeD/fcgndkI5rddWipgQRTvwZEcOIDoOi +2FCrOBG0crUGrxrTsUlw7+fz0yL8Vrw3LmQdHe+vLN1gHU34nX3ZdLsJHVsT +RlKaT5H6SplZi8zoOF+9+IV1hAiUm8XqI+Z0KGtf+9N8QgSdDx8qP1nQcRMu +k22Oi3DE4Fh4+UY6is/sVWs5RuaVdMo91ZqOfx55CjbBRG+IfPw20fF7y3xe +c5AIxbW0dAtbOnYa97ZbB4hw1sHui8ZWOg5otJ9vPihCho/uVsE2OjgUurW1 +rwj8rtNf3tgRHlONGM+9RUgO23W+eCcd/f+KI632k/MN830THOhYvtxmpMmd +zP/HEY/9jnR0KI0e3bhXhA37GyJMdpN+Uz52PXMRQflcevX0PXT8udyqZeks +QqjZrxlcFzqM5nXuhyPh2Qk5r9zoWDn1R/oGB8JvibZF0T46BJ5j7z/dIYLZ +PLWJCR50jPD1asy2i7D2bBp3/37Sz1PXivotIlx+dnnE1JsOl3tnb5hsJv66 +t2z5LB86+T4vO1FnLcK1aXtiBb50dKZ1m6/bKMJQv5qw6yAdpzwZguoNpF+K +b9qDQ4TXf0PX1piJMH94x+ZzgXQEOvWvqFwvwuwxXQv9D9PRtLX2seFaEXa0 +DS6wCSY8vwxdUm5E+NAvtF5wjI6PdVOSVxiKUDVuJGnkP+JHueTPD1aQPNIR +/f56nA7t9I8zlxmIEHI0I6LuBB2nzSWbSvRE6C1/syg7nI4cGePA0qUiDLdU +8ENP0iEqvhNcuFiEyNgNVMdIOjJW6gQs0hZhRd1x6cpowmvIYccCLREebN69 +UvU0HQ27j+lpaYpgO/wzZSiWjuy65dzcOSJcfaQ54VUcHesTbhfO0SDzW6t0 +tySBzDurY1vODJI3fqUHU87ScaLn5vcZ6iI8Uhm7/VAyHXJz5u+/PJWcP0nJ +0fYcHeY7bd5OVSXzXPw2ckka4XuH4vILSiIEG9u1y5+no1B8NFJJQYRjaolr +qRfoOLwsuCZlItE/JfJly0U6VDvGDkyQF2F98KqYO5nEjw+X/I0fJ4LLpSLn +hCvEXzWfx40dI4J524C9bzYdtc+mSaP/CSHu+3nYJofsf6/nu0wmhN39e6WL +rtORa6teHi4RwlqyRlU+l/AW+S5EIBTi/vXzl6l5dDA1J2r/xxdivPdjs9Z8 +OngK5U1DHCHmzS6ceK+AjkiNzp2Bv4U4ffmQMOkOHTHauzpobCGO3hqWDyik +I2CshZEPUwiZku/6bUUkP1Mz0vppQtAL8y/ol9DByt7Ys48ihJVp5STlUpJ/ +Izsmff4pxKec/Du/H9Cx+0q5/u5+IZal+/t0PaKje9Uh865vwv//H4pNFeWE +h+Ij5nZfhJgRmLb18mM6et4+1W//JEQcc+hYWBUd30/unmTzQQjmylX1rjV0 +lJ4y6EG3EOqTXJea1pF67tqkmXYJkWfhWzuvnvDceWV1zWshHG64BI15Skci +5r407CT6sFZv/NVIh6/jB7uH7UK0CWTrW5/9n5f6Rt1WIcITHjoXPye8ZHVo +3m0Wotjb4XJaCx0h9JHDWk1CSPcMCI+20mEyY3fx9UYh6vUOnnJqp8OW+6Jn +RoMQF+9+X7C2gw7/zQ6DF+uEcLuwbXD2Kzq6Bn7zlGqEqCl72DvymuRjZi49 +qVIIhTeKrIG3dFzWdu0YVyHEiTKfeW3vSL37Z1+PfiQEZU7t8fs9dAxP/eEm +KRUi9pPC0IUPdDjL351wvESI8iKPlNBP5P6T87s1dE+Ikt0VW9x66XD/MEfv +0F0hPucp6G/4SgfX+kX+QIEQv7cfWqn9nY41Mz3kPfKFCFj42nVSPx2PZ/S7 +fMolfP00uTP0g+w/2fbqrutC3LB/rNYzQHioymjtvCpEhsG6O7UUOsQ/agY2 +ZQnxzaLTNY9Gx1+H2kFkCoFNwSsTGKS/jnTK+otCbB6vrR/IouP6FKOOx+dJ +/+vYWxwGSX7QC3MN0oRYUtSeYvybjmS1Ac97KUJ4qD4dmsshfnL6qbwgicxj +ZUeoHI+OiqD8kmsJQnS85Gqy+ESPuXPWqMeR9RtrBruEdNTo7HiQflqIPX7Z +32rEdPRtN5w2MVoItV+zOHlSOqhbWg/GnhJi2sf6JWf/knq+jy+ShhPepWdi +j/yjw7Kd+THkhBCdikf+7R4lvy9aj/HZIUIsbo/JNRvLgO+VK/98jwmRMljr +tUiOgeNcJ+H3I0LUGs+zVZJn4ELWvS97gggvng8cBBMYULBMe/D2kBBFC4Ki +v01i4EbRvyNbDpLn17u+blEg+50Tz2nyEUL3QJjlAyUGeHknatZ7E56d2z5e +UWFg3c3jlhWeRL8Ou4yYKQxcsh6q1nMXoj9q0hF/NQaarftm33Yjfls8fNhB +nQHZHqvDc1yEmB6pm7F+BgNtq6ffz9wtRJPxpY8LZzGgm+H4SdFRiGCVdZZK +sxk4u0DEibcXYs6Tua+FcxgovPFX/NdOiBHOxuj+eQzUVHkOHt8mhEZAscPL ++Qy4a815w7YVwuDzbtvHC0g9F5bl+mwSooW3yTtXm4HGqvNuX62EWHk0Ji9p +MQMlNuZyTpZCjB0zZvQ/HQYuDq2+1mEuxKx9r+LcdRmY7B2saWUqhMpqqq6t +PgNT7BkX6tYJsdPUTrDKgAFl/9zfK42J3kvlBuauYOCVS4pJ0WoyjxJF/sRV +DIS/vXd8/iohBkL8dfiGDJRGCnKylgthvHrW6T4jou/koAfKy4QYypsve2lM +9Fk08WGCrhDKvqevVq1jwPhUy/W/S4TwNVq/95YJAyaVeWEhi4RIf7rTIt2M +gWvRFzcwFwhBK2+yPbmBAevYq/z984lfn2Ye97NkIMnv0ZWPc4mfLrQ+32XF +gPbHd4t2zBai+sO+NRtsGFh56m9+80wh/DY4d+ptZkBPqqNgMl2IstDKhJlb +GJBIHb3K1Ej+Lo70Hr+Ngb6FEbeXTBHi778Sb+52Bvley+y5oSyEe/GmxL4d +DHDibnLUFEk+9ti96rRn4LJcjix5EuF10XPjul0MmFlEckfkiR5b7rUUOjEw +q3fjh1A5IRRZ/05cdmag4TjjLmuMEGvL2rbFuTCgWR7o4zUigP6mCdbH3BhI +M2xR/vhXAOauek/PfQy0XuXc2S4VoCaSkWvnwUB/PHtpk0iAZYcvjDHdz4Bj +ZlmOsUAA7ZflZ3W9GRD7mYrvcwUwW79r5Swfwv+1pI0L/pD9Dhz9N8GPAa3X +GRFZgwJ8YCn/Fh4kfN9wvKHIEkAStnwc9RADxbfbS2PpAuSVdq9/H8jAqtO/ +i4UUATYbDF9uPkzOf4nMwAEBWnNLpz0OZsBUc11gf78ARreoVQXHGFCb4WSw ++7sAEV+KIi+FMJC3Tel7+xcBHjPFvnGhxK+79580/yzA9+Pv/wsJI/x32o6r ++CCAwQzLggMRZD62TeFLegQoDTUTOZ4i/Hm29V7rEqBgeecR6ygGLAudl6q+ +EeDGz6FJRjEMrKjy94nvFOD0isK2RbHkvPnSc+J20u9jYfH0OAaenpS/GdQq +wM4pfY8mJDCg5JJ8s79ZALd+r15xIgNHtkWnOTUJkNN0egkzicyD1u/X1iiA +rb1Z9pcUBurr7+ubNggQuuSq/qtUopf7t+8P6wRIoFz+9TSdAbbLkaiFNQJM +WWiERxcYOLNh78SsSgEmnApvvHWR+OtmXszkCgFmJ3n9zMxk4NdE44GoR6Qe +Ckfn7BUGeifMNeSUCuC5RO9SRDYDk3Ttgn1KBDjAVNYKymFgQNaU9fGeABUt +ue88rpP+J528v/WuANydXwsdchlw+Ha4tKFAAAWt9pvWNxnIGpuTsyJfgIev +/BqMbzEgHSsNKcgV4Be7alj3NgOVB5PXTb8uwBG1J17z7jLgWWvFSroqAPXT +ccaUe6S+GO1k2RUBbr6iZI4vZuDKxiVqRzIFaDmr4iMpIfNN2pzcnyHA02ye +82ApA64fTrN2nRfALvPS4R8PGagrf72uJVWAECVO4fsyBuj5+seNUwQIu6Qk +/7KC7L/kSk7RWQEi65hnn1aS+bbJl85OEKBbJWVZRTXRf/zJkrQzAlQtGhQW +1hJevViXR2IEUE5R/3X9CQMR7s5Bx6IID51ygowGBlgnqwwGThJ+T9UvPdvI +QMK6Cd+cwgXwXmh+JvIZA7UzrcNehAqQuvvcv2PPSX5k+Q8bhwjQefVO7sEW +oqfh0eCio0T/6HRv91YG5gY4v9I4IoBJ2uatju0M5NdMn5EaSPzm+G73lg7S +T8797cP+AmzfuyJhwysGfFLVjhzxEyB42YFPRm8Y+DRh86m+AwJYOAXt1O9i +4ODZjcftvQRY6mzHXNDNQGz8GNdnHgL8bphQNOs94ScsZumqfQLMnXrjnOpH +cp98rqbcciU8f1a+OOEz6VfrbpraHuL/ax71/3oZeNNioxXvJMC9r2mThV8J +H6YXb/IdCH+LciMHvzMw/2+igu9OAb7xLkyl9JN+wzW9328XwPfdwc6vPxk4 +sGjPbZutAhhaaBf3/CLnn1j6rnIz8Wdza0knldwPfRmsRTYCKPU7djXTGQjo +Ovfn8kbSv9pLjQYmOb9h6o/xFgK49uklVbIZCFNf0BBqJsCCFydnPRhiwM+2 +Mp6yXoDPm2pe3/1D8qil1Xj3WgFKflIK87gMvPvr9KHZSICT6uPvZPNJnrq5 +7F9tKIC854wXGULiX7tX7wtWEH+azVM4J2YgzvLhGjUDAer1Zx+Pl5I8viU5 +c0aP8FakMib6LwO0L4V1HB3Cm8FwWdg/4k+Xym/7FwswtJ6SeGyU9Bs7l/1m +ITnfqj0mcCwTafhCMdcSIK61+LqvHBOW0ayXpfMESDI7981Tngm7BbbX5swR +QGNe0Ea3iUx0qQ06n5slgN+PHR1Ok5kwrX0/LJlO5je6OnynIhMu4cPn/aeR +fOBobtmqzIRulafSxykCpOlNMbdRZWLmR1GojYoAZzUn77GYykSr+bP2CkXi +L1vFTJNpTBjZV09cMFmAtpmzBGumM/Hg8PtVFyaQ/B636uSqmUw0i6fb/pMT +4NxJl4UGGkx47AqzDRorgDov7c/SOeT5Xo5h7wgfkd+6fyyax8RKTuxk22E+ +9Ir1RFrzmajhL+islPIR3HllxbwFTLhbvQ1fKOZja9n0dA1tJuLXJ6hmCPi4 +1H5fZcZiJvrXmF36x+XjWJxbpZoOE8cyeaOBf/h4vV0rRlWXidMPClw/D/IR +cGnsYSV9Ju702d7YxOLjXfNI9GQDUm/s944KOh+dWzQqJ6xgYuKQJ2U+lY/k +DEeV8auYGIxsY6QN8MEcV5o2djUTqxPVPkv7+VihqLNi1IiJP/tNKw5+58N7 +2gvhsDET4QfMw3u+8GEXn/RDto6JowPTdCw/8zG9+egfiQkTL4yeNJV+4KNg +/emFYjMmHj7Qt9Xo4aPavuakcAMTZfk+NYldpJ5DGkK+JROZXh5qvNd8mA4W +XuZZMXHEQt3Vs5OPPHNvV64NE9nn45M72vnwa9pqydnMxJO8wtvGrXzYfvW2 ++7OFnIeI4oJmPrYMlUT93sbEb0thjkoTH5VuS94N2TFRfWzmiVONfKyM+7B1 +aCcTP298MaHV81HYWkcbdCD6qZmwd9XxsT3p/b1BRyao81adfVrNx21tnfTB +3UyUK9Qr6lbykSSryBrcw0SHdk/k5XI+0g6dbBl0Jbw9Dv04+pCPm52RM4b2 +MvFy3PU5QaV8nI6tTxtyJ+ft3bj9YzEfiwfW6/z2JP3I+fhtvMcHx05C/e1F ++LD5G1B6hw/JbEn7nwNMrPGRd5tZwEfJHZMuji8TkYVRhnE3+aizavrLPciE +qpO7aPAGHzX26dv5h5hwfHDzjss1Pv5bkA9BIOFFstH8eTYfZ1T+uogOM5Eb +seHZsit8uBy+qS4JJvMIzjDIvsSHYeZ5ofQYE4lzVyeOzeDj6oeXsr8hTLx6 +vqAtKJ2PPUmOi0ZCmYi+5cL/cI6P2f90Q8aEM9EpfjvZMpkP66RdlHEnmVg1 +/qxCSSIfVyI6TslHMhE8/oRwWjzZb2HWmknRTJxZc7UjOpYPzfdV6oqnyfk9 +rBR6NOHnu94slTNMRMw+tHpXJB9zL4gspsYzUWyj2PYkgo91RrPT1BOZ2Jb2 +1mZRGB+1c7KHZyYxUaRXVpp+nI+jl4IvzklhYqdr0YjoGB9jft3aNj+VCYUd +j028gvlwdzVcqp3OBMvildfLIMLLhgV6OhdIvvj/PmYYQPzz/aiD/kUmrkvU +g64f5ON5zPzrKzLJfJea2o/35eNNwCoFoytMDOi7zzviTfxKvsvWZTOxYs3x +Dx88+egxPeNsnsMkeR4ZvsGdj+yHTausrjPB1T4md8+Nj4vxAYa2uWT9sN1J +VRc+qCMnXexuMpEaq9gbvpsPjYOC/F23mHDOKFr4YxcfXtJeFZfbTBzq0Nyz +xZ6PnX/1b7nfZeK9e8DxMjuSDw/ZLgfuMfE1NP7UrG2EH4fZqw8VMzHe4lBQ +rC0fTxfWGQbfZ0KNrraZYcPHqM/LPaEPmJhwNUbBwYoPS0e7m6ceMaEZVVhb +Y8GHp6610plyJnoaEh3mm/ORuuRRbtJjsn/czO6zJnxYnL3odL6KieWiPea/ +1/LxIo5tcKWGCaG5xSXnNXyUOjcuu1HHxO3Yzq4GQ8LLWkWH2/VMfPolkmiv +5IPv3ZNd8pSJk2kNCqkGfMgpzRpfAfJ83swJPD0+2g5/uVzXRPxpLsd2XcqH +z5M525qambBIO1WHxXxU6H3XfvmCiSmlEf8t0ebD9ff8he/aiF8aJWrpWmT+ +G6g2vS+Z+DEgzOXP40N/6/K0n51M3FofpLZ3DvHPxmEx8zUTS386HXs2i+Sh +m0My7y0T3uKSmiUz+DjwXN/87zsmTuUEMdKmkf6KLswY/56J178yxvGn8LF3 +Q7S68kcmxvCmT3BTIXlRKjSe8Zn4q0/Ia1TkI1dbFj3/C+G3Rf/losmk3zep +zKXfCH8NFcnnJvDx6Mv9k4Z9TEzrS1zFkeND/di+5WY/CA9W+c3OY/lYW3N9 +4uYBJs6ODm+oH+Hhwtcj8g4UJmT62be1hnnYJtejs5fGxN9vAdxEKQ9+zq+C +fRlMKOscW8oW8VAr2fslmMXE6Ly7WxwEPHxTiw08OchE+3s5xyouDyZtZvMT +fpO88Uiymf2HhxSTS5LzHCbevdTTOj3Iw5q0M6IcHqlPj0n5xeSh+peixl0B +uS/PP720hc7DWHdDrzIRE/Pkb+s+oPCgriHqrJcwsSj3cvHUAR5urXN1b5Mx +8cgnXS2sn4cVX9ym9gyT+8wv2ffLNx75Thtm9Y0wIf8w9uaGLzysm2bJZI1h +oXLLf80Fn3iwoS5REo9jodDCuWvCBx7eF5U7ycmzYHNDpzWwm4cDYT+hOpEF +E/9fd9685aH5UI3D3MksuBXFHzZ8zcP5LKMJuoos3D8oNy+rg4euuXt/rFFm +4WCRR7W0jQfxRN1+K1UWhkPS13m84MEotGCcw1QWxnem3372nIddJ9q2eUxj +wanSTaz9jIedc3JqAqezwFg1uDrpKan39KytETNZEG6ydGM94SHr/ubRRA0W +vnEd/HfU8jChetGXzDksGBhreJZV8WD74HHvrXkslKldNp/2mIfwfMG/R/NZ +cDzbIB9WxkPADcbmxgUsrL2QXv35AQ/9jzIqX2mzUKU3zsH0Pg/W1KHNXxez +YO08vTu3iLy/bewIU4eFPIXnZmMKeTjJ6OyV6LKQv0ku48BtHqrad36ZuIzs +P+Z9Z0s+OZ93bnTGclLv6hWcJXmk3+AzW5esZIHzWfVf8nUeNlqvrl1jyMIX +2jEe6yoPceG3tm8yYuHU7h1ddlk8bFJ5LedszELTzPysh5k8PFao+eG7joWO +xb6bplzkof2Y10CoCQsDIZe//Xeeh83WHZMSzVg4y9N370nloS5O6HRlA5lP +9uIWoxQefur/ar5rycJSpyj1rLM8RGy87FptxQJ3hv4OcTwPf55NVmuzIfV0 +Lwt2PcND0F0bzqfNLKwLiwqvi+Ehmr2Jz9jCQtIf9YDZUTxIL6jMkW1j4egy +rlXkSR6Onbvpr7iDhVYNJflvYTy4f5R+nmvPQuJtr0dmoUQPf82jy3ex0FXJ +3Jj7Hw90ExU9SycWxqwraPgXzMNXq47Jjs4spM5InO95mDx/wknF14UF9fXp +gY0BPKS3lqwNc2PBP6kqV9Of8KX7LjF5HwsRDEltjC8PMRfaJNc8yLqVY0Of +Nw+B7PMZD/aT9VMN9zbs5+HasqU7nnmzMP2EYWSeO1m3vry8x4eFT9MfGY+4 +8bBX470RzY+FExYGXzxceJDcZOyX+rPQ23PP7+luHjhN3Y+UAllQqtTonetI +5heYuUjrMAtmz6KNoux5eBKn37g6mMzr05vwr3YkH/jXo2yPsTCrd+Jtk208 +mN2j7t8XwgL1lnZ1ji0P785MPnQ0lOivMq9cYsPD7cBJV+LDWFgy/DvTxYqH +0M2/aNkRLOTaXPastiB+kF7zKD1F9H8+cep0c1Kfz0rpsyjCp73N/eMmPGgG +3qn7EMOCa7ONQfdaHhYNivNYsSx4i+SyV64h/u7QLx6NY0EfUYzzhoSHfsvP +6oksFPCLFwyt4MFZed0yvSQWug+dtdpuwEPZcrW7FimEV57S9mI9Mo/5XVbO +qSzY+60znbiUB73qEPmgdOLvS3LT/BYT/3TJBmMvsNC+PaD7+UIe8jcHSLMu +smB+wPeklhYP9oONeg8yWbh698/EmHkkX64NxzZfYaGPIh/zdTYPyxdrD/dm +k/5/3/q6bhYPpvtX3+DkED+eb9TKms7DrDnLvSfeYIF1ac8OvhoPTfrq2zXz +WLBt9fV2mEL68aK5rclnIYj/y/2BMg+85LvpdgVEf8obCwVFHlxOONJ87rCg +562l4D+Jh+HfQz6RhSzcNeypb5bn4dOLiAmZRSwUzR/YrSXHw+hz/uuSEhaO +/Lb9EDWGh4+P9j95XsrCLt9Rs95/XFx1ftr55SELnZvk0tb85aIzWnkcv4yF +sD07n1+UcJHLdvBQfMyCnNvX/iEhFzP8kr9rV7GwTfUuZSufC62yyjizGhaM +TAq77nLI++c/2jnXsfA2p/f22N9cyLX8Ng2uZ5Hf0es9PdhcHFIdsU96ykI/ +r2m0lsEFbYV8Sj5YkPgfTlancbGTNp5e18SCymQjydFfXKj9/hfQ08xC3cVp +9p0/uEiX504desHCowb59CV9XFRR+vomtLPQYC1fceYrFzFb2ru0Osj8+pUa +v33m4g/tAd3kFeF/y8zytR+5SD2Voe38hoUJxvNTL/VwQak+lnC0i4UMj/l2 +Q11cSHbZK5zrJvyHqgls33CROMag6s57FuRX8uMKOrmYckIhER9JXls1SIbb +uTjuwzj55TML9P2HnF1aubge0ZYp/EL4W8e7Wt7MhZ9vUfeU7yz8F7O7WbGJ +i8iPqcbL+lm4/SPlvV8jFzZRIbD9Sfyukv4K9Vy4jLof8fnFwssq1/sadVw8 +UrSzPE1l4V88/djxalLfVst11+nEr4uN5r1+zMXqAybONUySnzbry5aUk3kM +m2T3sFnYm87VjX3IhUOj1cifIRZ0i1zO9d7ngrPV8ZwShwWK+cF3hsVc3LcJ +NNXlkf1EM0dTC7nYZp86dbOABUG4/zTqbS7ClaqVfEQs0A7Zq2y4xSX3L3tZ +rITM60jHn6w8Lopn6ofkylhYrd9T8+c6F8b5Yd+eDJP709r34JYcMl+HN0Gf +R1iId4v4m5/FhWWroZZoDBv/lBXCpZlcBGTfkU6TY8N3rHrvrotcvNu7SLJK +no3ZPRkLSs5zsbW4Yo7DRDayFkQ6jEvjImSOg2/wZDY8z73225vCxT6Lf+/S +FNlQKInzrjjLhXnpE9/7ymxYzL1irZDAhSc/eW6HKhvNkaOKB84QPm8fkjKm +suF+oOFJXQwX3+32/p2ozsbgoVb7qVFc2J72XKgzgw0vnVmdh05yYddyInjz +LDYqjEqXPQvj4kpRfr/fbDYES6JDZ4Zycbm6/0TiXDZsMxMLgv/jghm2etVd +TTZ6lJ9VvwjmQjHkxtQXWmx81tUpn3uYi0v6c2ZSF7KRd7Lq4vEALvhLyzbK +L2Yj8byfa8dBLmR/9l1crMMGj6iwwJcL+bHzJ2zWZcNty/Sr4d5cvP8uvXlQ +nw1rRYWpbzy5+DJ+yDPJgA3ztwrHFrmTeQskVkUr2GBoqVWdcuNi9zJNu5er +2GCnzv7RtYeL0UUep1ir2ZC7rsldspuLHpfq14rGbHA/zWJE7eKixkpvs8E6 +NuI75V507+RC2a3u104TNnL+9SYtteNi+TTfwmNmbMwQXlkZs5VLvo/0zl/a +wAZnrSF6NpN+LFSuV1qyobm9eLWuDRfcHJXXH63YKK4QpsdsJP4+sGyR1IaN +u9ypb3o2cDFp0qH8ObZs6J6T8JeakfpkTRs3bGVj37/bo9Hruci7azLJezsb +QZ0q3G5jLgyPd/Pjd7CRcnx1u44RF5/epoy/Z094Oq6UGLWKi7aF3iYdu9hQ +2nZZ591ykm/vXa8MObExPuTFo8XLiL5b/ps+dQ/Ry//avFO6XAh/lTwxcmVD +447yf2+WcHFEaUKi6142/t7SKFm4iIvNWvGhUe5s7O6tbQ9bwMX22IUp+Z5s +ZDZRX3VoknpTKc9bvNhY9+5ateZcLvRvvVzAPMAGorsTQzTI+3O67yr7sVFq +mmTSOoOLlN0jOw392bgY8/i9hjoXHnd2znMJYENSu2v3kalcFB1snhIVxEa0 +u3vdMxUuTH676946wkZ172s5dSUu6Jfm+LceZWNDfv5q/8lcDBaMvmT/x0a9 +5tstTyZwUXJisuPUUDbePXeyVh7PxZDL+lHjMDb0pEu1vcaSPLx24Z17BBtH +DbYyKkY4iD+n9DLuFBvbOh5ekh/mYPBEGbUoio3w9bsXuko56C6I1Hkbw8ad +X6uzS0QcHHQPPi+MZSNu5RbuMJ+DGUPJs+fGs9FxNnWlPZeDT9mdnVaJbKyx +k+y+9ZuDqALjgoAkNiKoyZ58NgeTHDpyM1LIedVrd2xicrB14GxjTSobBxeM +amXTONhw7fD4/nQ2zib39jJ+cTCtKvLohAzid7umcJOfZP1Y5ajBJTbuvyqT +pfZxMEFhZpXzZTYWHCo48P0rByvrbl+IzmIjLCrj0fJeDiJq9164e5XwdPDE +z9MfOSgxN6t8fY2NpDPbJV09HByN3TIivEF4XKosWPCO6FFx+ojmTTZ8qirf +h7zhQGHywFjbW2wciTW71tzJQWnF0fqjt0m9P/Ns1F+S/X8svXb1LvHP8o89 +vq0czH+mnNd0j42qxm+2Vc0cCCM121jFJB+opfnyTRx8td43Xb2UDSuRZZ9z +IwcxZi3J5g/ZMLbJHFNYz8HoebcF/mUkb7TyJopqOcj3mtOfUcGG6bd9/E3V +HKR/nvz8SSUbe1pbm6885iBo1uIOSjUbMQa9EdQyDhZbHhGr1LGhvz9dbc1D +Dn4fG9i6vp6NF/e+ZyTc58CsI6HJ5ynh07GF31PEwcJDuz3Pg40TJaam2oUc +7PTZpVXXRPJFYu4fcpuDgE+REynNhIeEF+FN+Rys6+uZptpK8jPr1eEpeRz8 +S3bbZNLOJt9BOzbvv07mxVW64ddB+vGxGv/wKgeGS37PvPiKjUv37hYOX+Fg +jNm/2oY3xM8J/xlsz+TgxUaT04wuNvpN86/mZJB52NwNVO9hY6zqMgY9nQNL +xw2Rlh/Y+GCuOtc4lYOCMPnyw59IHk60MUpI5kCuRqaY08vG6eKWld2JHOzR +1Ex78ZX07506VSueg5kVR1fxvhMeAy99PBLLgeTEn7+aP9gIGe05XR/NgfPh +XPb2ATZu7N2mPDmSg7YrJ8ecpBB/VP6J2RPBgYUg3qSQRvLGpvH97RMcTI1r +yOlhEP9uLFPhhnAQYqqtOZbNhvJPLNtwjIPD82rblg+xEelCX556hMxnXmSW ++x82HD5rTf8cyMEuo8PnznHZYF052L/oEAfn96TeruWzkdtUkf6fHzkv7PNP +mpCNB6mj8xsPcOCU5LRpuoSNndq2WQpexC8Rw6+tZcSP1fGcPR4c9K3tiQwZ +ZuNZyKPlt/dycKbi085bIyRv41sc/riQefZMtu0aMwhH9ad7TJ05GBcX4Ds6 +bhBXd2ZaJjlyUHxPVLhcfhB2+zaq9NgTXnTLVTwnDkL/QBM0d3CgO3j1evrk +QQykKDsHbuPA8e2DHU8VBzFJMv9NlS3xQ+WfRUPKg1j4jqc3dhP5O8pzwbwp +g8hfFxtkZ8XB5rEyqx1qg/jp8PxCtgUHVprPU6LVB2Fs+jh7wIwDtQfVwgcz +BtE1c0e8gQkHDomfzvbNGsQH+XOOEWs52Ba9yFx1ziC2a/vKNxsRfQ/lzrKc +N4iV/6PouuNyfN9okVCJiqKktDQUlZUiJJSiQgOFhplo0/wWokGDShLSMkqi +pIyDpGjvvXfvet6ngSK/+/fn83ne576vca5zzvVHn242JC7QolAnsWOZqwwT +J441L7FeQ8HBTlT/8UomsnJPuj9eTfiKXzisTp6JH+k+uUwVClnd66b4lJiw +2ifcsmEV4ac3IZEblJlo/CLV858CwaPZbOPTqkx8kUwq/7GS5O/1TOXeaiYu +notIXCxD4SfDV6NcgwnZ732mdssp7L7kbT2zlok/u5L6MpZRSG29n7FWm4nF +P18d5YpTsKtjSDmsZ+L46IqCzYspVEo75sVuZOLj2rZfV0QIXn3neJTqMEE3 +90hVCFNISKmymtZlIpVaLScuRIFv35fjGluZcLr6RvDYfAoftDpundjGxMuH +l5oz+CkEzpHtvbODxG9y/gY1m0LB5bDDpTuZkI69JaXDS/Cpv/zX9C4m9vNm +yc/+ywGHv6FwjRET3NUBjbd/cuDvm/vYYS+T6M/V/Qo0B5+MC7PjTZngzc69 +lcvkoGb5YE/ZfiZcxWfd2TnEASNuow6PBRNnx48fq+/h4JX9i7x1B5mo3VtM +ObRzkCprbHXGkgl7afk9Y40czHcXWPHAmombp1ycgms4aJpiz687zISfUuIe +kXIOwg7+lJxny4TGwSTuw28cVEvJm285xoTl8OnjGp858Bl1zXQ7Qe5r5t55 +/44DPpu+1U8cSH0kVkcav+Eg8q9XbYcTExNxgvubX3Lw/ezqJLHTpP6GV+ud +nnMgoj37ptFZJk4Lh8mMpXEgNDKVHOjMhErHorX/PeJATlysPc+FiZ0JQvwL +EjkwMd6ry7zIxCFl1+SEWA7aFqRAzp2JD+e1ZilFcbBveNkZG08m7hnvVH4V +xkH78eyNUd5MvE26J7b1Gol/2l6t5DIT6QYqX78HcjC9ad3OGV8m0sT7dQ75 +cBB4Ty54fQATL9gfPbo9OPiXpD7g/B8THslZHucucKD58eD51GCCz1mpOpNn +OBD3jpdsv8qEb29s0X+OHMjrTzDFrjORuchbVPAYByfCzvfvDWXC2UZXKdaG +g7VV/3iuhjPBCGmcWXGQg5nA5zve32RC6oTe/Sf7OMgRvPh0PJKJ8KzjM5pG +HKS3mqxXj2Hi+pqNiu8MOPhzfPug0x0m5jx5vWjnVg5yeU3fP4hjIq/h+6fy +TRzUKV3Ib7rLxKDH+fWHtDnoW5fRtCiRiRT9GJcOdQ5O3xxfbpzERCJLzdlJ +mQPDO5bXrzwk/V2nocGS46Aso1z8QzLB87eIXA9pDk4qWJZNpjBBHdT9Ny3B +QYA9nbo2nQnNW+rCV0RJP989Sjn7hAmtFVY98xdwkHzjeEnqMybuv3h+KWou +B++lNBd1ZRL+GFxRLz6Lg5gSkYBl2Ux8Ppc6dv8PG1JtvCIHc5hY2b2mSe4n +G26pPN9vvWZCrz834AmXjW0uC9K/5zHxd8mqUXUmGxNXVz3he8sEj4jPsteD +bJir76vSL2TC3SVZaFMPG61Z/0n5vif8VRxV9L6NjeDdHyPefGSi9Knu1u2N +bPBu4ZenPzGx50WsX3E1G75lVp3qRUy42ccEGJWxUb321cczxUwkH1DcWVHM +xuqUxV/TSpjoFNpRYfaJjY3HAtg930n84u3L6gvZqItnb1lRzkTIz0EVqzw2 +lIIcXx2uJPFqWf5tyWZj596uvfHV/8ej9J2jz9hYrGwnUF9L+OrDGnZnKslf +v5u1qIEJ1XlBgicesvEHjpOmTWS+0/iYvQls+FeNyoe3MFEn+CLS8Q4b72Nd +vUrbmFjy6uLkwC027mv/Ys3pZKJdYJvsqVA2Gsv8wwy6SXwhCxcMX2EjwZ/X +JKiXxHO79v3pADYyTwZroZ8Jxwd+a0YusaH14N+Wv4NMmC3kdTrjzga2XXLR +HWGi0PSA7ch5NniOM4ouM5jQ/nhy6ZnTbMSLWm99y2Ki/ItG3LA9Gx0nP3RM +cphY/+5B4ylbNq67SD5eTzORwfesZdCKDT5tl3CPcSZ+/zZ46GRBzkN+wutJ +JkLHjq3qN2GjRXqynP7FxLbdXFf73WzcM1dW1JpmInoPI6B7OxsP7Uwfu/5l +ImzP9n12euT8HY47c/6R+GIHu9o2sOHC4yzI5WVB169S20aTjTnRDj/X8rHw +0ZBp1KjGhi1lNM+Vn4XzOtpyB5TYkBFZsTVnHguz78e9r5JlI4LZeZcrwEJl +9vxlJlKk3m7hS7UWsBCTG7ixdAkbErFyH9wWspAyxJDYuYjUf2tKyGsRFmqu +bC+EABvPbYU8x8VYuP7ZfYXuHFL/pqM31ouzcK/Rc+ebfyzQd25/8lrKgufk +5tWaUyyEemdLv5VkgcfiTcPzcRZMT2Q//L2cRfiybZsSh5yjHbNLV4aFPe73 +zz8aYUHhm6Wo/0oW7G6xjkj2s+AxMT0L8izUR34WvNPJQtrd/5byKrEgcl/Q +f0ELC97X+iwMlFn4U/8xO6SOhb/h8q+uqbIwZVOZ8q+ChbkB+htKV7PA3a1u +c6mUhbWrNnQJrGFhe0FlFfWFhfKD/Fmmmiy8K06be+YDC71lLx5GabPwPjiN +pyf//+818uvWs8A3+3Oh9SsWNF5dGRPfxALDkrG+OpOFkrSsg4c3s6AYIeG2 +O4OFayPPWpP0WBjM2nThYzIL+7b4XOvZykLD1+3q6++zsM1G8pDidhaWNylm +Po9jwZ4ONTpjwMLO4SbGymiS94cS+yxDFo7/NmbGh7Pw4kztI+5uFvrnuWUt +CGHh0dMnszcYk36Lbltz5T8WdFSMwn1MWDBZ9MT1lw8Lm2++2oh9LDj9uu9x +3pMF48C+eXzmLBhAZFPvBRaOpbTO7DnAwh3L3+8sz5K6JMYtu3WIhctZu3jK +HFnYyy9uU2fFgt9LJp/+MRYOB1p9WHqYhRtGnd9f2bDAemSzy+4oC/OOC+9X +OsjCd16p8RQ7gqfmC3cSyL0GG+99GzlO3sdNJAgZsXCupuHDGgcWzLxjjgWS +PEftyls8nVj4YqMzwN3Cwoizn+T7UywUS3SoOpK6dl7pD5xF4loTenFtoxaJ +Q322gJEzqduVwYnd6ixEMhrfRrqwkNCs6VuwigVDPbuIxossbLUx/KQqx0Jt +SvxVaXdSp1qx4kSCs0P3g5IdSR1CFkaFCkmwIPhQsu+5NwuyzZkL/Amu3WVP +GI1dJnjhHjVnCbKQeedA/WY/FhbJ3j5oS+aoyYW6EhzAwjO5HRIVPKS+khus +f5C6X84/mqBH5taNX95c9AoLwQkNrc8nmPgZl+dy+BoLm4IetklSTOSsY758 +fJ0FK4WsxNBRJiL0iyUYoSzwb+BK/iK81COln6IdQfB30s7mZBfhPTnrA363 +yDw4DlnWEx70zhFWLo4icbQEiO2oZ4K1/MRK4dsk3gsSkdmEdwU+mOpbxZI5 +Kk/5vpzwtF1vbdCjeBaexogXhRKet25jD48ksMC0t/ed/MCE18RDD22CQ/W2 +y7Q90ZVdXv0K/g9IPeP2K1e9YqL5aeHvb49YyFJvXK6bxYREjezYohQWjDbw +VKdnMFGvskTkSBrBg8Gn7aKPiY5NxB5II7jvHJjn5n+fiS3nkws5T1mQeF5+ +fJjodMuP9bs2kzkxWDGz4EA04d1t5pNXX7DwtSTy8gfiC8R56B9VL0m+6h4p +q0KYkNcT/yr5msxVTVJ4NPEhgSve9zjlsRC0/p/mtA/R2coe+Rwyl4saw+Ic +ie8ZdLsW9qeA4EBDu6DiAvF9mmlL9rxnQf/NaMIG4rMmVfSLb39k4WxfyqaH +jkzoepsndH1iwU3ZPHYu8XUi61uj1YpYsJzoz75gw4TopaYX3sXkvHzzG00H +mJix2k0VlRB8Noeu0N/HRFTPKstFP1iI/Rzolr6H+NhV3t1Hy1kobFS8usCA +6MBa7cinlYT/fFwOeGxhomDuYfvJatJ/IZPuVuKza16O2BgQnlo+8lJ1uxYT +t9W7PaMayPycjdTKIL5+jr/um44mFp4Pt/wUWkV0M+G3pForC3r5wT5uZI/g ++ixNvdRO5kHZr7CJ7CGfl8WZfyO8+CTsbb4e2VumHS/KL+4h/K2q6pZM9p4u +k7Rl9n0Ev+ZFI3PInkR90Fr3coCFI7u8Vpwle1Zgsrj7zBDJx2T9osp/DPxs +2ddoMsrCmTT6oybZ60JMW2wTmSysinykGjvOQGnL6/mjbNJPQ80Dv9gMDB1p +b9nEZSGQJ37TkREGxJ+bVV4fI/2dLGr90MfAsgfCQ40TLMgfeaYj20n2+nmL +FZR+kbm31TsU3MzArny7a55EJ6JXO6v31zLw0pspUPyHhQqu2hfDCgb4Rd/l +Lia6cqnhvFhGCQP/TEqDHXmJbv6RXznvCwOxDBHP3Nls2IduY5x+z8C3p7Hh +fPxsbE7Mc/3+hgEdQ/NvB+exkbPPM1clh+y9l3YophEdC/7g+jr0OQPd4yef +TAixETZz32UkjYHK8+/371rIRrPiyMCeR2TPvb1NKl6EjQc79yx7co+BdYu4 +AsNibGifyZw3N5aB+PCyFTriRDcfzs11imTA9lmFZdhSNtjsvVJfQxmIE5p4 +1SbJxjW7c1vlrjJw7oC+tro0Gx8pK+n/Ahh4sfhZU4AMiS9t9tuOSwzwMrQe +Va8k8fgcF9Z1Z2Cjc1OEnALxNWeOy949z8BZhdgkD6Lre89OsMZPMfD50Zna +b8rE17iKeJvbk2dnC7VlxAdMXUh/l3WUgbnCpk/OqbNx8lD6u/lW5Pz5VkYf +17BxfMFsbydzBm62nBcW0WKj878XrE97Gbj159ZPh3Xk+9h7Mst3MbCamc+X +T3wHtaZAyHsbA8FSg+sFdNiYv+ZPbs1mBh7/EQ+31SW+5eKhpavXM5D3dzdf +zhY21KrebAhZw4DQDa9kvm1sbJETXdStQuLne2RvvYMN9602qToKDMQ0fN6d +uZONqxP+YzErGGDatJjxEF+0TtztL2MpA89Yff4Hjdg46rzqy04xBo4wOiuf +7GWj51Pk9qQFDEynlxj8NWXjR8t934m5DAR5JLabm7Eh6rPtouksBjY9tEpI +Jz6s5oSzTNqfUby6+Pvy9EE21PeJhv6ZHEWAVkCAGfFtZr/lsw5wRxG7qi89 +zYYND8nb4c8Yo5CNVBybOsJGm5O5Au/gKA6n7HAwsyM+OMLM26p7FM4PNv5M +O85G9pbgq1mto4jK482eJj7xk3zz3tkNozgq/iDM3IkNryGDCuuqUawbmx+W +cYr4ao38eS++j+Kc646sv2fYcLonPzPr6yj8C3aOH3Ame0GZT5bVx1HsYS44 +9syFjSrbF+KZb0fBp5rI4nFlY3Q0W4fn9Sheh408tCI+Vme+q/jBrFHwqEx6 +vvAk+Zn0ZWZkjCJ18ccLc4jv1d75689U8igmjm29edSHjdcByfz77o8ierFH +5Ws/NuRCqr8/ihuF4Jaj2oKBbAz0eO0aixpFSuvYO/sgNg6Kh/gZho9iDnvj +6ULis8tTOefir41CyVtxk2gIG6mCaYtHAkfx3rlA7ewNNqS/xXtt9hlFxGdq +x5cwNnxMCqLDPUbhcLbUX/ImG7TYtFO7yyh2WWxpd4sk+L+1b2z1mVHMczSx +K4sm+aql6fg7jKI6mJ6tQPaAc1bUpgpbEm/U6gq/OHKez0rucmtSb5efBQ13 +2fg9pWLvbDGK5WP7f2gkslGiOx3+zmQUMZNaM9eT2Mi9H+IisHsU5ruSDvWQ +veOaz4f5NttHIfEmvHrzYzaGNaJtM3RHwRWcdrlD9hTnRWNnJtaPYmrh8Fp2 +OhuJbvUaBmvJc9B+8T1P2WhPU8qMUh3FVnkNmcfP2Yj52drToTCK+8/+2/sn +i43xnN4qVZlRNFcZJFq+ZGPl8jVe3stGYbLbQzjnFRsqPjn1RWKj2FEgnCZI +9qi/QkcYC4VH8a1u4bGT+SRfUenCI/NG8VjPQ+9zARuqxcPbMmaN4knspi3L +37NRezQ7kP4zAlk/mxPeHwk+F9h7bfk5gsYbdU9qyd52Zz6tcIM7grtmKWIa +RWzsDjALr2WMIOF0cXIo2fN+xbk8XT44AhubDQcGSkj/fLcEnuwewb2X9Krt +P9hYYP5C6GXrCEbZkzJJ5Wz0bXpl/rt+BNN39XV/V5J5N9+8b0fVCG6ofL98 +qIY8v9k4K/z7CLyXRbXl1JG977/E83VF5H1b1HFhsofOKbKMkvo4Auu+knnn +mtnYE334rMPbETDvataXtLKR/Dt++tmrEWw7+eOLQgfpz1yenXTmCEYyb9UH +dbFhWXTFQCdjBBeqfOZ3kb1XS2vxVGDyCKLlw0/o9bMha/n41LfEEbyY9b49 +gezJHeoyEUJxIziN+b4/h9mYl+d7yiJqBD8yLuodYrDxr+/J7/iwESyZzZJ9 +zSL4yY7f0XF1BMXivsoiFBtMAZ0dcoEjsFeSOHCBJv3v8/918vIIJM9/eFQx +zsZjRSun5+4jyJY/K7Ka7PHmBXk3OOdHcNN3WVrYbza+XAmz1z49gjkZJUdG +ptnoPfmN9rIfQVPlxfV7ZgjfbD+sU3h0BD6SIloZPBwEsDds+GtJ+vk81Zx/ +NgdJu0xH9M1HsCZ51R2nORzcW3HLInjvCHpF4n5/ncuB2p5R16+GI+gRYwYp +CHCQF22xm3/bCITfKqpfFeLg0rf82t2bST/n60/3CXNw/IXA4tB1I7givI5p +IMKBmLCe4A8Nkt8PHp5UMQ7G0vXeCqiMIEo3eQOfOAfKG/9K7pUfge4RkSjH +pRwEXXbRDpceQbyMqVCxJAd3FIN4yyRGcNDL7LmiNAfPOYrXBERHMGEqcT5E +hoNPN0w/GgmNwDk8yXxoJQdXHgxn3uAfQZ1ol/UeBQ5Otg2ZlfCM4NfnpuCn +Shz4D+o+mzM9jLOuV6oEVDiIc2h4azAxjGUTHVud1TiQH0v1C+IME1/eV12h +zsFRrcSJjyPDeFZ469qatRyIvnsi/6dvGC4R7UejtTiokv/Ir9M5jFDLUsux +dRyU/Ct74Nk8jKdNpu6HNnLQ1vmFkVM7DKr49Kt8HQ4iTG+zWOXD2NC0eLGk +HqlPg3qqSskwMvNN7/pt5cBkOnih0+dhaIot1O/axsGbHVfWPHo3jJrIg/N2 +GHDgrirD15Y3jF0Vy8ZTDTnYr7H75pKXw7jodHjWvD0cvP3G+LH/2TAUOSLa +54w5KD79931o6jDy/umGVJpwIBvi7FD0YBibV9ZPa+4nzzdVPv65Owzz9obb +seakvsMKFetvD6MxV2/f7wOkfjz7o1xukvuV+dRsLTm4sOnu3Izrw+DLWaX6 +2ZqD21xKqytoGJzPj/cqHuFAK9RIVMJvGCNlFyNDbTkwtIlJ2+c1jEObbk6w +jnFw9u075rWLw5g6P+ZvYc9B0e+8ofdnh1Fa8UA535GDxedd48Ych6GWEzYh +dYqDArvOXyrHhpF88VX/f2c4iJdgCR+3Gca/IyKTA+c40O642Rx7YBjHPz5W +2evCQSz35aEyU5L/wInAlxc5cLy9K4RnDzlf0PjnEncOKv9uPbt+xzA0XC2j +fT05iDodxntWbxhO+4NNe7w54MxdZvJgwzDcmkvVdvtwUC7UZlS7dhi2mxRX +Z/lxEJj6aWqO2jDeJ8TsEwvk4NevAjsdxWGcWyF0+3IQh/jyfE9nmWHkDkT8 +7rrCQYzLE/2Hy4bxY+6i4F0hHKyr9X9fIzaM1LtRq7NuEPx5r2LOFh7G7vT5 +v8XCOTDwjq1cP28YbTpeQz43OTAezHc4NWsYVdY1P3siOdBsDHh+988QTvGI +qxrFkHodak37PjkERVX9gJd3CL7PF1pMUUPYWbZ7XCKeAx+lha9UGUO4V6ka +EZhA+nWltOjwwBCOyfUZDiVy0HS18XpY1xDWPTm3cv8DDr4qqcwUtAwhTR8r +8h9xYGn/UmmkbghOH5u3yKSQfFcf5V1aOYSjf14FXE/jIOXS8lu7SoeQXbKn +h5PBwWvtnnKPL0M4MnTHyfoZBz/33Pvw+P0QVsnECH7O5ODLw43Hq98MIU9N +t04lm4NSqae5f18O4WFp2PuYHA42JXUWqj4fgtoT35Lp1xzk85S6WaUNgesx +b9zxDQemMofarzwcwuVmtR2Vbzm4XOn5MzthCJVe3Tkb33Eg3b3sa9vtIYSN +yBokf+AgXE5zx9xbQ+j4MTQh8ImD0OPPXbVuDMHh6ZofHl/IfScuWdgGD0FL +bAydXzmQG77ef91vCH3hq5v2lHCwM+/7qldeQ0iJb1z4+jsH9FX15e0XyfdZ +jDPS5RxwF6Z8nnNuCOW7Tg5cr+TAXlBy6RqnISyr3BZMV3PwQzlYxvrYEBpf +em6zreNAULys6T+bIURa/JMpbeDA2b9/29MD5PtFzbLazQSPcz4erjEdwuCO +qR0PWjlwNd+t+Hv3EE7oHQ+Z38GBF8/FR7I7hpC/l4/h0cXB3herynfrDWE6 +r/tidw8Hs8Zsn7hsGMLB9xwJk35yn8Os9bFrh3D4nlp3/iCZ90g+t3eqQwi+ +duu7/AgHR/gOHutRGIJUlmh9JIPkb9L9h19mCB66r/5NswhemXeNVy8bwoqD +p0xOUxw8Onl+j7nYELzFVhfW0xx80zGd9FxA7oue2rN9goPD3asO3ps7hAU9 +5b+yfnJgU8M88ZF3CNUCSd8lpzjg/y9cpnd6EFNLnd5d/8OBwNGxiDmTgyjn +l6kcnyF8USP2TJkaBP/pXp4cHgpdu9u99o4OInad8vMhXgomCnpj5/sH0dTZ +4bRiNgXTEjmZqM5B5NvwaB7io9BxM3Aqp3kQv+MihCLmkN/XbL9WVzuIniuB +v77wU5AbssZ4+SBEBBrHf8+loLgy98mSkkGMi9zk1ZxPwalix/YNnwfhGJC8 +4rQABe0N4zcs3w2iXXORyUNBCise5wd65Q1Cb35jaKMQhf4Dfopx2YNo7OQ0 +LRCmEBWm6ZP3lLwPP7zBcCGF40Hf/OtTBuHXK5rmt4jCjwuqa8eSBrHwzRKF +XBEKvqEm0SJ3B5FQf+w1Q5TCyRmp5DUxg1g/j20hv5jCo6nrx0wjBpG19MOs +I0soXEoPLD8bMginH9+/xIhTcFOih67/NwilrkW3f0hQ2JtYmZPqMwjjJZHu +s5ZRGFjJp/rZYxABq7Y7bpakYFkXZNbhMojz5fJOblIU+r5uUPx9ehD1Bdpe +z5ZT+DtX9Mlih0EsenQ+vleawuZns1rW2JJ+qVeWSsqQ+uT9zDe2IvUStBA4 +IEvh3JrunU7mg7DqmzgSvpLCUcnngYF7B7Hb6s2HIjkKnh67TycYkn7Ni1rz +R56CzKbUmVf6g9h+JzBnnSLp15GXO8p1BiEaG2RwXomCVe3hdQPag7j7KGYg +bRXpb1hM3V91Eo9xdnynMoUsl12y4sqDGJWrt5FQJfU76SSpIUf6++avmpka +heaDnZ8Nlw9iyy1l4dDVFOYveyRuKz6ImTXmPF/USfy3EpZ6LBpE9AqPWdMa +FCwiCkrCBAZxrenm4nVrSbyDbPlkvkFkN93bcF6Tgp2zsnr+zAC04+JPp2tR +KB452Ff+awApN/571qVNwVvJYVcvPYAbshZ/lq4n5w1ut/zJHMCr7/PsLDZQ +2DHSJSo0NIBizqOq8I0UdjHU/GR7BvDfb3Hz4k0UnFMXx6xrG4CR0aneGR0K +FaU3Du5pGMBP/VtXNulSCJnnXXSkagDrdW6sc9Mj9VpY2enyfQCxEeYTz7eQ +foX4pQcVDcA7erB4YCsFdVFXyTsfBrA/3iBdZhuFAvN7m9PzB6DAdoyz2U5h +uGeQ/23OABZ37oq7vYPCoiOGgd+fk+eXA2kVBhSum6emtKYNICZ9S/FcQwpJ +h2h3xsMBZPHsHd++i8KrMWlqOmEAoVPztf12UxDKXbJU6A75fYVX0Js95Fmq +lCF1awBJmTe7KCMKM0/kz6ndGMDv78amansprGwVj9scPIA5B579cDKh8E4p +ytnIbwB7XZ9YPTIl/ZodwLbyGsAn4+3jrfso6HRVSp28OIASXtdHS8zIfKxy +HXc/O4AvedpHzcwpvDE4cCnIcQAR/11bFW5BYfVdh4xbdgPIvGQ/69sBCu+v +RgUlWg/g6qtvTJ5DZB6dSvmfWAwgcuuLQV1LClT07w25JgNIVlpCeVlRULET +Ff20awB3PX7Oe2VNoWQZ792ybQN4qmauybKhYLMot7Rx8wDETFecUT5C8B+6 +LLVn3QBM6w+/dDhK4XSpjCpTg/z+3ay5D20pPBbKOzypPIDySZHzrXYEz9El +63nkB/DH+2rvkuMEPzcN382XHsBxNctT5icoaK6TZohKDKBtKng6wp6CWa5e +sZTIAArK+R+WOlC4sinGSEFwAA5BHeZ8ThTODgleWj1nAFqTsxZvO0nBqy/e +bN2/fmTOcR/wPUVh0lihTvd3P1RDVL7lnyb93vTw346xfmw3knszdobCt0+T +DUasfqRI2uStOUeBMbnU0myoH2Il34vOOVNQGh4LtOzpx1nRiz0Z5yn8SfI8 +cLStH+c/7Rbud6HwRTqi+kRDP+7fNDGWvUgh+rTiz5NV/SQPn9ijrhRO+K4p +Ofe9Hy5nyzl33SgM7ru77WJRP1Z2b7VpcCf9azJ18PjQjwTDihoRT4IP/q1r +LuX34/UOd5t9XhSMv1mm+ub0Qz5gNRXmTWEZT8iXgOf9iI4fjy25RGFDfEFo +UFo/3quXGPP5kO/Pdf2+8rAfhS0Phbf7UhC2GhANSeiH3VqfHn8/CmOaBfXX +//9/BD6bFxX6U7hduUc/9GY/LknK5f4MIPFOB1mEXe/HnOLB1+v+o3A/2EI4 +PKgfEgaJX1yDyH2qT9zCfftRtUS3+0Uw4c/XFwPDPfuR+PazEPMKhQUdCevC +L/RDMU11j8o1CtV2IjFhZ/pxea9rzMkQCiLsr/GhDv3YJB3NSLlO+EX3seEN +234IXb12oOcGBS4dlxhi1Q+PQaMfK8IolL6PSrhq3o8H6S37j4aT/uv56wfv +7cdzubX9CREUAkWMbwYa9qP99Z7rTTcp5Df2B/vp9+Nn9gqdJZEUuuV0ZS/r +kPqczPptEUXhwI3NTp7a/ahRpEqjoiksjK02d1Xvxyft3vTKGApVtaMDzqv6 +UdwQcFvoDoXOb14rT6/sR77R51vGsRTW0Sf4HKT6YVqWevdGHIULNQm3bJf0 +wytKIedbPIm3XfCT1cJ+hP7QbeZLoLDqRtpd8/n9iMkYWGBwj/DBjoNL984m +/TWTtghKJPx3aY7+zr///7+CHam4T0EtMl1oy88+nL8txz+TRPIdUQhaz+1D ++8lBT72HFC4OnL+vzuhDr5/CuM8jMm/tLnaKA30QGmr6ryCZwlX5JSXLu/rw +6dW01K/HZB4E9zWKtfQhZiSseEMqBZ9u/giBuj5si/zP3zON6NXo6mGeij7w +pjYZ5KaT752zRie/9WGufPjSsQwKvWmet5mf+nBzVty05lMKrGq33p7CPjis +G2NefEYhXT6mqTG3DxrpSczs5xReVH1yK3tBnvWjptiZFKRmMV/jSR8e9hWL +a7ygcK2PJ/H14z7UuutsP59N3t9lrsq43we3koHLmS8pBOnfP3wvrg/svOJP +jBzSv/E/Wjej+tAjXL9E7TWZn8rpl4Fhfch8KHj5bC6Foq5r9a5X+2Ckfmr0 +aR4FifU3khwC+mDu23Nm5A3h02aO4KFLfRjd5flT+S2FtRVPZXa59eHLHunb +pwso5CxOad7g3IdE7Xq9J4Xk+2elG1ad7INL/p3xoXekPlfnbpY43gc1f5vC +VR8ozIkz6eU/3IfNatK3Tn2kMFF+dc3kgT7sOtZ6IQMkP9GklQOmfTjzJvzY +0CfSv73Bb+t292F2sZrtqi8ED9Yrxz9v70OedN7pU0UUli8+VZ+t2wdJE7ng +jK/kPsttNknr+yDbeP7pUDHxO9yE4LA1fdi5LaZzVQkFw9fHzbxV+pA9J2zl +6VISj1PQFwf5PtQn7Xd78p3CmbLh5v3SpF6+HdXDPyhcTr9yW1eiD5rCGltU +yikk52yllURIfB90889UED+Rwj8hItgHXyaP/rNKCpUapYl/+PpweMq7frSK +QjDPxcHBmV60bE30Vquh8PTzaH31r148EnZSdq6lcENc8VQh3YsDb6sGM+vI +eQ8Ek1KYvXhzreEVq57C9HiYV8RgL3YXXozQaCT4yI4c8+juBV9covuFJqIn +x/kX27b24pu52emXzRQab7c17azvxUK50LPcFuInaqe3rq7sRcCGbT5abcTP +PjxgJFbaiyv5F+Ld2ynculw1+ftzLz6UiXzJ7SB4ajuyu/tdL45FyU5NdFJw +0BnY/C2vFyyZOP2N3YS/+axrnmf34v1N55hLPYSfnj4SiH7ai3sjSXRBLwX+ +yOeDnim9kNNTOD7dR0FUwsnpcFIvakJ/t+oNUHj4sCBka3wvNldLOAQMUogN +ijWWi+5F5vzLvzBEQV5k4OWc8F7YKUsk8o5QyEy6UzB8leQvxTQ2GKXw1TXK +sSygF9e/c+deY1A4VPc1J+tSL/6Iy9V+Y1I4NXtFcqRbLwy6vZ7OYxP933pD +y9W5F1J/Rm4acygYvOM4WZzsRdRWz8AIiuh11jZd7ePkfjfRgEou0aPtp16J +He5Fsd270EVjFJY+3l82dqAXFkVnHluME/6jB67VmZL8bSVK70xQaDcX7321 +mzx3f5hqnCR611beFb29F7L/LDcv+0WBnTIRcFG3F2HH2kOO/Cb1+eCHfet7 +kf9kd3fSFAVbrX3Jq9f0YsGlmF3d00RfBS0VBFR6IXjqTYHcX+K3jf7bMyTX +i4i5WTpOMwQvo28XfF3ei+8DF75l/KOwZIjh/kic9D/017FRHi4StOb4+i3q +RbvnNn71WVzkvqPkrAV68Ulue8GF2VwoOt87p83XCzH+8Uuv+LhoVmYfFJ7p +wepoC8OJOVw8r2nqHP7Zg0eqlis2zeXi8XaD+UXcHsRs/DXbdx4XFfuW199n +9CBtsdbkh/lcGP3Yp+810IMFy/6O8whyYfLfN+P9XT0EnxY8O4W4WLjpwuSq +lh5oNqotvb6Ai8rX63bw1PWgekWw3g9hLjpeztJoLu9B+It95xcs4uLq0NeC +7G89uPcx7JmZCBdrBU8NhHzqwUDgmvHbolyo/6h/aVvYAw/ZDcZNYly0VfyW +Wpfbg8Li+EzJJVzcLfysJPCiB9dumUrZiXOBNUtrujJ68DDWLC5ZgotHJcOS +eck9uM9OkB5YykWchAxfWGIP4tLkcpQluejLTo+wi+1B/Kc+M2cpLr5LncvV +iiT5bG/8k72ci8s9Vr78oT2Yv3Isd0ya1DPYuqcluAcfLLQvb5Qh31+2Hsz0 +68Hpr5FGvrJcvNc3CAv06gHrCK8SVpL6GvJVmF/sQc7v/4Rny3MR9SvkhfzZ +HtDec2fvVuBC99MbjQmHHkw+vTk7XJELh38Bpt9se3DgsNCiKiUuksXKBOKt +evDYwk9ZTJmLwEMhJ0+Z96Bof6OJlQoXVkvvH9+4twf8gmL+iapcBDz7+Yvf +sActG9UKutS4WHLo6prGrT3QC5LgVVDnQuaoOl/aph7sjqg+eFqDC/+ZDi93 +rR4ETu7LzVzDBcMz6Pr21T1gWofLcNdy8Wty1oaFSj2oNQiIW6/FxaIc0+B2 +mR7IbZNd5qPNxYVKE+eny3owp/ZMxsd1XMh5MMY8xXrQ7nVg++wNXMz7snjZ +jgU9eP64YXD3Ri7aa1+3LZjbg9Li4fiITVxIvn+t28LTgzW7rx2s0eGC/9a/ +TalT3WBeT1kurstFzoHgOpfxbgz06FKH9bj4LbpKUIfdDeGnu6oebiH5ljd3 +zRruxmbl9wX9W7lI9Q02L+/phkPanWyVbaTe4guPx7Z147ht6UuX7Vwo3Toj +aNfQDaHQ/R9e7+BifqXfAaWqbmyxkmv4ZcBF2nvtTezSbsznbvq1xZDUT/dy +Qd6XbnC8wpWu7OJileKmJr/33djNJ3q8dDcXZ8yPRBu86UZZ1tfUBUZcSEdX +DM1/2Q0D/8RxC2MuNr283Fr1tBu4dGv/3b1cHPM0PhOb0o1v92PzOky4GExW +vXM4qRvLu58oye/joobLd0Qmvhtu2p8en97PxWeprx/6orqx0LdO5YUZib/G +4n1GWDc8ElrfjZlzwfqQaHnuajf2nqqw1jnARemN0AiNgG645KXwBB7kYrKW +347rTd7vO/T66yEuHDfN/Hjt2g0vuuWigBUXKfsP13me60bjMRUdM2vCD0/n +eG906kbUbl2hOBsuympH837ZdeOY5dzRtsNcdJqNRxZYd6N+7bXalUe54EsT +muNj0Y1Ct8ziU7ZclBuvWLLZpBvnczyKsuy4OPlW7NNvw24EXW4oGzvGxRW7 +pjkF+t1Yb/GtU+cEF6eeHBj01iHxvd36J9CeC+a024kN2t1ol92g8M2BC7cC +Ge/x1d3Q+5NiKeTExajuzlWvlMj3LwNvW5wk8TX/cL0g2w2Le59a757iQrQ7 +yXK1ZDd6ROxWd53mYsf9jIZhsW6wnPbfUDxL5sWilp26oBtOneHsc+e4GN4+ +7/Hxud34nC9w7JUzFxOp2hwp3m48Vytq+XWeC4Hj/plZE13oPplpp3+Bi5UK +q17IjXThbvQH1rWL5HlkU19cexeOfWeFlP//75omQ/YKVHfBX3Gdqpg7uT9s +YNCvqAvKedebbDwI/uuV89hvunDNv+vWI08uDP8qvDn2rAsv/LXMhry46F7x +YqQqqQu2z7ylNC6R+43v7teP7sImOo3yuMzF0JX8oayrXUjbnFv1zocLm29d +OVKXuojeJLyd5ceFMs9A1o1zXdiw3uS5kT+p1+LEtnG7LjBCizKiAsj97Q2b +j1t04bbsZFZTIOEDxTNlPwy7UP+q9cOKIMLH2co31+l0wXriVJNTMBeRWsOB +SavJ9zF3pjKvkP7Z+KbMke3CNjWrVeNXuTj3Ne+ns1gXxGzSbXVDuGiYe86v +jr8LVpmXkoKvk/nOctHUmepEcebXwe83CD9o3RF/wOoEo+U/HZEwct78bLVZ +PZ2oe5YSax3Ohd+9mItO9Z1wCpeffhjBRck20YGSkk5U9k6eGbrJxQ8T3lCV +d50YEFzcqxHJhets7aNhLzrRbuPq4BXFxZYHPnajyZ1gS8xhf4jmYu/e55FG +sZ04G1IcNOc2iUf9LifjRie2dD5ZYXqHi+zDiwPm+HWid1/a1zuxXDzoojfb +X+hE2b+X7u1xZL7e8St9tO/EUeEvagp3CZ/1y+kvs+wEM7ySeS6B1HObZIi7 +USckbpS/eX2P8H82psr1OvGD91XodCIXJ2YN3ldc24lC2sPJIIno38wxZ3/5 +ToQbCxqHPyB6c4znTL14J+5xzm6se0j4oC4hRlWgEwcQqi6VTPA/MzMc+LcD +2RG2qx0ec9HjNcu5nurAv5Xt2s9TuBD77iWl3N+BsG3TBmOpXCzw1Pjp09SB +Cw9fHtVN50KPMz1T/qMDwUyu/5UMLvQf5Wit+NiB8PLcjLInhB/6V8a45HSg +oYXdIvaMzKOwjPTH1A5op8cuPvqci78nfOuE7nZg6dsHVqmZXKxeNj/vcHgH +tCL/PWZmcRF+4t7njIAOFCVlTa7L5mKWLe/vMdcOyJs9sPB/SeJfueiIvlMH +HvGVvCnOIfz99u5QqHUHHohJywu/Jv5i5fkHdXs7cOhHbLxlLhfy+44FLtfv +gOQ5pcUP8wi+FbaHOWp14Jf617tDb7goDuj/+FyxAzUGjopr3xJ9UpOSppd2 +IL56uuBSARf72G9SNwp1wJoTaPm5kIs9fqGH/P61IzVnYGr+ey4s/nNc84lu +h9ByuQyLD8Sf3F2mNXuwHXs1VI8kfiTzYO1ja9hCnpto8X5wkbjTOiekvB3P +eV1bV38m9Wm+ql6CdiiEJaR5fuEiM6imhv91O3gNTlz6WET45fHCB4bp7cid +fG8xt5gL+6hFMVcS2mFln7zO7BvR29i0rE8R7YjfPHtFQgmZB85D6k9gO4JU +m4R7S4l/qaw+vMm9HXsqReaq/eDivM18ptvJdoQXZvB7lBH9eSKZmmnTDjnf +mws+lHMRXdIQPGDSDueIfCn+Si5k3wrekN7WDhNHSc39VVzwuNx8fVC7HUln +n5nerSb6WqM2J1ypHd3/jrj21HBR/z7f79Oydmh5yd9XrePiNs8syQmhdrhL +TFS413Ohc6ytXZmnHZIyxfwfGrjYGbm4+MhYGyKLru/ib+KidnNA7c3BNqxR +1by5v5mLvH/DfGhpg8nFvNa7LVxoXlA8yilvQ0T6vDW9rVxsEOZrXvGpDWP1 +K8LU2rnYeujQJdPXbfg0zmB4dBB9ezmi55vehpU/HQ5+7CTxBEQrPkloQxp8 +iuZ2c+EpJq1VH9EGc2UFHfMewq95R+3/BbbhyMyBvHu9XHQlyb5RcW+D2OyZ +jf19XHyc2qR+4GQbgthLPqsPcHGH6Vnia9OGLecizbwHid5fz7iaYtIGvaV2 +g5+GCP/UJTn+0G+DdahnsMAIF8JlyqcorTaM7P6ucHCU+LGjSyOWKLWBUWlS +kcQgenVGr05nWRs0osd8h5hctJQ46tkKtSGW83KtJpuLe1tPlAT+a8WCXZcY +PhzCX6G8Hsl0Kyy69TK/UiRf6yU7vgy0YnyG6yZMEz7a66zZ29yKWw1h+tZj +XLz83bCdt7wVc6KmRB6PEz8zutJdBq3o3rNulDFB+ntPpljvVSuOL1QrXf+T +i2deDzbapLXiwnDN88BfXLzoPf/D424r/MqlYr//5kJI29Y/MrwVamnTV8Sm +uZjK1jV7GtAKYwvHS7Z/uPhwp3nHF9dW9KXvccv4S85bOPtQq2MreE4nunJn +CB52hIVwrVqhtG+/ly4PjYZtW5rm7m3FVX6r/67x0qBEGbukt7biomZaZNUs +GvNe2zdoarZC3H516jI+GvHC7sGGCq24I931wWEOjf45DFNriVac7cpuz+Kn +4eGcsPGsQCvei0Tz/JpLw3eeqb7v3xaUinuq7JhPQ/F2vWM41YLerfusIgRo +BLydybjX1wKLauGwRkEafhL35j1tbEEh39PPsgtoou+eIW++t8CKb+HMWWEa ++9/brSx63wJHjpZ+3kIayjMKLZXZLUho4L/2bxGNR65xWS2PW1BR6FdlJEoj +2T3oQV9sCz7cDllxR4zkczD3OfNGC2b2iLt1Lqahc+hv/bhvC+a8kf6hLE7D +PlNV8o9LCwIzbim5S9A4HiTgO8u+BYLth69/WEqjkH3259xDJH4+D+ZcSRoP +eCUjhfa04PD3skMWUjTYBQPbF+m2gH53oOj+chqCAvcXimm0oN7p77ohaRqi +TQK/Fq9sQdD2wmeaMjSCfv2bWrK4BZWFvgp+sjSebTJaKj63BefWaD/+tpLG +5oO5+5dMNUOeqpEXkadxeko4WYzVjA1bjJ4eUaDBKlcSEuluBq9JmFa6Ig2+ +49+jFtQ1Y6d+CCglGvs2f9WY/60ZmzQ0zHSVadD1/QOzC5oxKevef02Fhnvi +r7y/z5vxSmSXX7UqjQJG+YPJB83gH42XkFpNY7b4mkfs6GbcvW7zxkmdhoot +s2DgajOi3/hav9SgITBZw2jzbobRBs7fqTU0eOdlra8524ycvNR0Q00aLzKN +44ttmzHVEGERpUVjnOO9qMCsGa4qd3nbtGnwV/MmPzdohpdW/mvF9TT2bMnb +k7ShGQkOracvbqBhLnls7i2VZtxfScu+20ji0Stv91/eDP8v7LY5OjT0znwv +dV7YDKfQTwlmm8nvj8iXHZ7VjLPZVocTdWkEf0jv2z3RhJfWqdKDejRWq8uK +rhtuwtkHcX1rt9Jo1jlqKdPWhIFrKzJ99WnIOK16Ob+yCfPmrfb+to1Gktw+ +mbFPTegSzN4psoP0r/l+StvrJmSfi1981IDUo6NLryi9Cc2j9YPpO2mE+vaN +Pk1owspdVu+4hjS62O5ZkRFNGFopHKO3m0aLo+1Vj8Am5EmMnL2+h8bMn3MX +rN2aMJPVZFhrRKOo9JyLrlMTao9+l5PeS84rUw6Stm6CRngW72kTGtenXDJm +jJtgecu995UpjTo9gZ7OLU0QeC5Q/HcfjQPnvql/XNuE2xL2T/eYkX6aXbh5 +X74Jfr9OR942J/P7tPrfZfEmJB4T9u60oLFM4c1Vy/nkvfn24yoHadgcZ0hp +/WnEhY+UscchGosp3WIhTiPMrwtuhCWNPEv3/wZ7GgHf/xQErGnYzrc1RX0j ++A9vFTtkQ6PR5atafEkjoiq1Zz86TCOmy0PKpbARRR77x0eP0LibprN8Z1Yj +dJsCB9fb0oj406G+7FEj0l1et/xnR+ZXRN2MFdMIh+TmirJjNO7PpoM/XWvE +7OKOL+InaLT3/iyOudQI7+U5b0/Y01iXM3+Z47lGDDZvy850oNF5gvZdZ9eI +Rinf9J+ONLJb/NizzRvxnTJ9sOMkjQ62+8Vag0akWmTE3TxF+nnmMe+jDY3g +qnlGNp8m+fPWJTurNCLLIu2G/FkaSvbVZpuWN8IgXDHY5Rzhi1VOwrMXNmLv +9T7fAmdS344jreW8jYgYKPfkc6GhyheYGzvegHqtqgv7L9AwFki4bzvUAMeR +pjP3LtJYZO4Ro9DagACXeocBVxqVqm2xo+UN+CrxynatO41ZbfHp2WjAjLyd +la8H4aM4j6/urxrA+6XY7JsnwWuwLmdDWgNSBBqNRLxpuOW/Ufod34AV/H47 +jl6i4aT38mxhWAP0MlI3Z1ymwRCgC338G2BZqadF+9B4vGCXxOaLDeAYaqps +8aMxIuMV+Mu+Acu/u8jc8KdxRNhkLO9QAw5P9SyuCyD8FBft5rangeik9/wV +/9GYOLnor7puAypjpf6eDqJhKhMTM6zeAJWBQs7rYBpiZt1aj2Ub0JS5vWfm +Co2vPl87Dos1wFXtfo3RNRqfRObdFuVvQFvEm093Qmhsu+Rh8f1XPcyH/F50 +XSf9nlUnFciox2W9tnuqoeT7CSZbu7MeIj4frnmG0bhxPbxsqLoe8t4LL3wK +p3Gn0zvnXlE9rv16byl4k+BR1PeRyRty3tMcPctbpL9qdnf/PqmHvWKLbHIk +jZSVo3ezEusRyVoxmxlFI7drKPnorXrwubr0bYgheqEv+1ogqB5Fc19/DrpN +46DQ0fJ893qEjjUlld8hfMDryHI4WQ9Jh1JviTgaGWU84gtt6qHlfGG/fTwN +u7nThgV76zGw4K1C1l3CNzuk/O231mPl+ps/fyaQeZtSeSegWY/8vJaSHYk0 +spI4/3Lk6/He5EbszfukvuHr9lqL1yPl8ZXjzUlETxd/vv93Xj0KDd8oyz8k +ePS2HU+ersPqXAH2+Uc0nPtrzA3Zdbhoeu7l22SiF/6DuUPddVA5/uXC7BQa +ORYO0qF1deCumFLbl0rD5+SicJVvdfB98qf/bho5/1ne39K3dfg3K/deXzrR +Wx4pz1PP6/BeWsBU4wmN83rzuHwP6iBdNTx96SmNYhlD1+SoOrAbdDKKntGY +a5cwoXelDgvbBvcJZ9K4dq/cv8mzDm+cW2jrLKKXp9Pnu56uw37e6ZiUF4Sv +Tdh35x+pI75o3Rp2No2FBefUkk3r0HXvYsmmHBoiYoOfNm6rg6to/JErr4ge +vFCwqdCqwyuvaEbFaxq9leyxE4p1SCra4700j4bUU8HoCYk6bG9Nm7F/Q0P6 +xI61NwTq8PR6dFBWPo21godrlv2thazv+L+fb2ncfL7M4xmnFjtN8i/vKKRx +asOepZt7a7Hh0hd2xDsaXyIzP5TW12KB44xd03vCN+ELHC1LanHC5sCPlR8J +/7I1BfsKahF04+laZ5B8z3W/csmshdTckeg3n2iEpHcd/v2gFhHVv1k8X2gw +tSZnXYmuxcuSop17i2hM3R59Jni1FhY5GnGxXwk/6V2xuO1Vi+jNcr1dxTS+ +RYb8XnamFofHrimrlvwfn4UPHx6phY3F9jMepTRuuQzuVNhXC81Xuqkfv9Mw +dKkazthWiwqzoy3zyki+PHrhqtq18LYIm3egnIbnelotU7EWQ8jUTKogeBN+ ++2P10lqMBz87OFRJY4XfgVOZArXwPX/WVbOaRqBtGK/a3xqIatVd962hsTJY +LuEJpwYLz5bFF9fSqHjSo67YW4PTETrJC+tpIPAmHtXXIHdqdqpNA9GXVIap +VEkNfo0vepTSSOJN/dx8p6AGQ0m7YllNNJb8qT+2ILMGfX/DrmxsofFXnNF7 +9UENBGaKzga10gg3+35iOqoGONNkXNZG8hlb137xSg3EWc/kl3TQ+LFpzHzA +swY+UgoTdp2Er4y/f7E+XQNzJ2U86aKxcZufRtnhGiyWTgqiu2kMrqy5o2da +A6XLp/T0emnMGYyYyNSvwa5bzpxrfTTuuXmYLdeqwaxD0feq+mncvm+SFqZQ +A+e0wi3LBomfUW4d+yleg2MbK5rth4jfLO3RdZxfA/3UrHOZw0QPZJT9q6ar +EXx62+TECNGzj675OuxqvG47c0mfQeOo0pXRx93VWL5RmL7BpDFZLCsuWFeN +hjsiDrUsGnHTwpvdiqtRzLYqk+IQPl0satmcX40v0sWqThQNCxP2mS3PqnGs +US/oBZf46cpTnsn3qxH/8nHlT5pGbO6OS3yR1bgh1yq6fZyG+lwDt5NB1XDw +/2YaNkHj44fVDiXu1RAaNw6sm6Rx4mOR8aqT1WDFGmcs/0Xmt7NMOcS6Gi/M +nhQ7/Sb61z3vb59xNfLZu1pfTNFI9N5asm1LNZQl5w/8nCbn7Vx7/f6aanw9 +VDOw7S+NK03Jej9Xkvj4g9tDZ4hfeGE5ZLa4Gpqn/5bW/iN8tF70+lP+apjf +U3wuxTuGsqg1G2fRVci93R7sOGsMg/aHjLIbqxCjyGeWNXsM182X7zz8rgqr +eQNEJ/nGEPxMYNXsR1V4+VLtx1b+Mdy8m859erUKfolsr+tzxyAg75Wy70wV +onieLK2eN4b1Gv90uaZVkJ/ZlL1UYAyWviWF0VpVcLkRvPmE4BjmPDkos1ai +Ck8uOhU+FRrDbY3VZ8qnK5F44osGvWAMLKe6+JPdlZjpvBy/eeEYXIKqns18 +rYTRLufx4EVjWBqdlnznaSXOVl42LBMZw5KgVl/lW5U4fj04TExsDLKSY5sK +3SoRY3Oy6MjiMejxejQbWVWCPXsOlbJkDMb5PTZNupXYI7d1EVN8DIL3Pr23 +l62EhjxXft3SMTT23uFh8lVCYN9fVb9lYzDI6FVwH6mAWdF2xa+SY2huVlf5 +VVGBLJ8kUaHlYzA0nBLyfVUBmy0c+oD0GMZiy6qm4ypQk7PkW+KKMSiYKbr6 ++FZAxIwT3idD4m0IoyaPVeDNycM71VaOIehEoKnrzgo8kFrPcZMbQ/eCkOsj +yhUYOmkbUSg/hseVKx8cW1CBvKU5UrMUx3DUvSGqjlsOh9oFSUZKY7DJkD9m +2FiO+ULmi6JXjWEr99a8vMJyWC6y9mxWHsO61wkRcg/LoTDzr0xGdQxxqt9G +b14pR0GJ4uJTaiS/i3FyP0+V45ZmuumL1WNYdClC286kHP61tpcm1MewXURV +umhtOXYvUbmjt2YMDQNUp+KScjhq9T+6snYMZ33tL4X8LoOjzrkHPzTHoKHF +M9LfUYa8efciRLTH4Gi4d+32L2X4X0VXHk/l1kaRSkm3cktJZCgVjaKIkAaz +yph5KIVPl4hChlChDJFIERLHlDGzxXFwHBo0EJXKVNLA3a/MfO/98/m9e3j2 +s9daz3r/2nV6ui5mewk2tbL0kh63wuG6lVKKPD2/5KcaCW/F+cWMyQEFgs62 +o0u0/mnF8+9LGLL7CXirjj++b9hK/y9ZaHooEvTMRwj92teKV47enRVKBLvH +L1mqiLQiXlPRhEuZgOq46xnO1QpHcV/WURWCzQXnbN72c1C+Vkji1kGC164u +IqItHGhLfj3/WpVA761Yzuk8Dq4sbMxep05gfG0hPyOGA0/d8Lc2h2h8TCcd +GL7IQbjRit8ZGgTR1+2VZcw5UD6ya3z4MIGM+btlTgc5qFnR8HP3UYLtvn65 +jyQ4iPRMfeV9jEDg2TPhnkV0PJ6eUaNJ8IFfx3T1cAvIzzTHBdoE659fsNN+ +0YL5C16rtXQIcoMb9l8pbsFW5z+Fkbp0fbyqPuTdbUFv0NSBN3oE2S3vdD/4 +tkBwl3nxOgOajz6JN/hsW3Cn+IeQzXGCrza+UXsOt+DpijCnRycI+rbO2Jpv +acEiwUVZQydpftgnzgQsa8EXPaXXO4xoPLu8tEsfYSN+3cx3D2OCk8Gi0aw3 +bPTHiv8uNyHQquW63lfOhlVK4KdZUwIOP3WE6wEb6b2/qg6dos8jd7FNOIgN +BY56yHVzgpxOLmG5M2wsDdHf32ZB4OYuuENLix7P/b1zhRWBhdFWPqvtbEiN +fbM3tiYIza3NPL+SjYQOsa5EG4J2f4Nl/mPNuNptr9RjSyDOMJWP6GqG51To +NQl7goYvJyXia5rhMGxZ4+hA8LGs+lVyajOYW6p6sk8TGMSuOJoR2ozZXo/v +v87Q+Ze0+DKcmjG9yvzznrMEEXIOHjl6zdjlrFbndY7gMI+ZbM7uZoSaToZV +OhH8HpJ4nLW6GbsXm6rMORPY3jz4OX2yCe9tZbrV/0fPd9jUff9jE0aXaNqG +uhI015+Ija1vgo6t/wv2eRpP7Sr8NzKa8LdPivQyN5qPcQ7qPmFNMJDxO2fg +TqAyoCzv7NqEkdn+mNsX6Pp4aQyanmiCtVx2+lsP+nztI4Ya8k1obE56sPYi +geSp2iuy65rg6RwWYOFFIHZ0k4PgbCOGgw5pJXsT/GAkL5j43IgVMvFTny/R ++uaabt3NasS8vGGspA/Bk+O5HpVZjbgirSno6EvnO7z7UMLNRqTv0/DJ8iNA +Xm6Lh1sjDPVXsb9fofXsY9wSPaNGCCwJnpENIJBIsOeW2t+IP8X2Qv8EEux5 +fatgYn0j8rT91xYGEeSZR65pnWch+FLa/L9XCVjt7/ck9bFwOT6pbW8IQUHR +T16nZhZS8+UDvEIJ7ukfuLk3h4U3HspC5dcIfJ8dYM9GstBw2Ddu8jqd/w7H +ctYFFmy31/xRCiOwO7rbMsyEhem+NhW/cIKzTMFiHSUWylieTjURBDNSIdX8 +oix4dPpfnrtJkNo84d3CzUIip8RVNZLGQ/fX/pCBBmwc/XQkMIpA0aGZ52BL +A0aPtHDXR9N8UBVop3IbUOyomMp9m2Bg404DRnQD5OInJA/FEnTFpPlZeDbA +p+J52NU4ggOjH8z4zejvRsGvmHcIVD0N+8oPNGBL1MdZnrsElZt9158Wa8Ds +jkf8GgkEtUNsLoEFDbiR8GD6aiJBkWfh7eJBJo61Rj1j3iPwM2K8NOUwQTmq +BfHcJ5gclqqczGMiIs1zzaEHBBkeCfqJMUwEnRy9GZRMEDPpfUvhIhOdPT79 +dSl0P7Db59VuxkSF7lsRrlSCZae1+ZyVmSiUY8mrptH4iZbS4NrIxGjd0p3+ +6fR8LcXNcQuYCClz4at5RODRMl2w6Ws9ZJwZ9dMZBL82fOot4dQjH6HmSpkE +/ttMqtTz61Emw3x1KYugMPO1YltMPd4UiW0rYxC8l+BYGV2sR8yAte1YNoH7 +XM7mbrN6PPyselEulyDffTjWSrker7WvnnPPo/3FjalHPWL1sDccUHyST1Ah +qXPKakE9UCg99OMJrUcT+gVdg3UYSlvsta2QIDnGm2HIqYPRt0OfzxYRxOkq +HG7Nq0NYY7x0RjEBw3ImQC2mDhPz0OktIZhiK1kWe9ah5L2PrthTmi+u9u8k +zeogIRK81bLsv/X7SMyBOijMxfYmlNP6PLIzf1a0Dgzlc95vKwhKs58uOstT +B/XFlV9XVtH+hfFyMqkVqFmsIadfTa/3wWnjmdtAlnn1qfAaul/cWRu49RTA +iu4xb6ql8SJZLTQkBvgz7BR46gic/OUG0wdrkb9udlilnvZLGlbfT+XVYqry +rO9lJt3/nwpJ8nvWQqHLtL+kgWBBo1pUmVItjKSCN4+waH5wP91uw10L/9Jk +dZkmWu8zjGa52TX4vNRG3rGZ7jcxkzMpkTXYsvASdyqbwEUnSEbRuAapX+5n +vG8h2MfNvv5sfQ341ALF17QSmIcyVlj1VuO88BvP420Ecie4G79mVcORqZUS +/ozAKjg73fWfamT1xDxkPSf0PQbk/JKvhu55y0tzLwhEX1u8d56pglCt2eb9 +7bQ/c167p5dZhVfO8tnurwjOWETlG4VVgVg8XJDzmiBzPtGAaVAFC9bRPf1v +aL0wWfm3zJoqPF/3Vn5DB92fFjyfivxQCcs14wImnQTBBlk8v9IqUVVmWhn5 +7j8+Xdqm6VQJ312pSs1dBAHCq90f7KzEw3G/yPluGm+2Jm9/jlVg6Els6b4P +tL96tcpEsboC9vtvPfnnI90ffmz8N+BqBbLurfDL7CFY9Mokq16zAqLLWcKf +PhGsOhruPbe8Ahr/6kas+ULwpTDaWuFtOSI4Bs/0egnqNqpaOiWVQ0zV7XNI +H4G+uvM/d+3KwbXqBKuqn/avZwbj66TL0bQh7tK/AwRDQdfb+3+Woc2we2bL +V4Jv28VFeUvKkFHWcNzmG+0H06/5ivrQsfFvjztDtB+uDf8mp1aGDRrTZ1q/ +0/iYnXc4vKgMWvdCNnP/oOsRWP7DoO0p9N2lSxV+0jH/tSCT209xrMt/5f9+ +0frPrSRuZvYUW7qkDqT+JhhxyuAYiT5Ft13R7o4RgpffE/x0+0uhbwxq6b8E +G571y6tmlyLQozdYldB+d8psTNatFOPWhT0eFK0/c6yK1QqluBhTx5s1RvCH +dyJocroEl83Sx97/ITjeVaf7rr4EPq3DBX9NEEx8+7m26HoJ7Fq2KWhM0vmo +6Q1c0ytByujvEK8pArWo3AITwRJIJ7XcZ0zT/l2867J4VzFaOYevfJih/Wl/ +iurX5GIk7f256a85gsAzz7iyThfjqoxevPo8Ad+r7dUO24ox/ODnMw8uCrVj +N92ER4rgstSkLYObgqLyU5G20iIw/JbFdPJQkCvwxCXfIvRcubN+CS+F3qnb +phvV6fErPV2UFlJwO/2+j7moCPGPtwa6LKKw842Qg21bIV6uUjh1fzGFgBcr +30zEFGL8mtCfNj4Kg5dvy980LUROoLbJ7BIKy+/YXxPeUIidTVqXt/NT4A3S +bkzvLUDfyUhrq2UUhA6sGpXOKoC/YdTCWwIU2NZBfJmuBbD5m+la/d+7LVI2 +S8XlClD5JzF++C8KPI3932VGn8DF7kaA8EoKqkILYvj9niCrbEZaaxWFo3YZ +vF8WPYHIodNR3oIUDs+YaOTG5MNt27bSjL8pbPRL03YVyYeBfVnC6//ekcld +uVYqMw/q8RcUuYUoOMVuZ7zcnQeBDXXxO9ZS8HT1n75QnYuH/dwFFusofHoS +sYz/WC7e2N4NuSFMYWjxh66E9hyUeH4ULF1P4c+pMVsRyxwUWuyw+iJCn7/e +MuXOYDaSk77YCIhS8ImKv83rno1j33TWK4pR6NbbvN9pmoFdixF5eiOF/ZWR +txpCGZiuD6uIEqcQxj4RLbiCAcmq8XuVEhQ6UkdUTt3LgoP9iT0DknT+j4Zj +46SycKn1vf9fmyjInmZGNeZnIvv2uwDFzRSWZpIdP/ZnYq4ydK+DNIWZc7Pn ++Roeoy58w/2bWyikdVrqCes9xqYzHaWlWyl4mUQ2i3dmoCOtN7BnG42HywLv +Re0y4OPiNrNIll5/iXHoyuFHkA1kSO/cTqFkrqdh0vMRKMFibtMddD1CpeI6 +59LxLjYvzH8nBeb0A5J9Ix2tniW1GbsoaP5mfvJYlY7ekY8pbbspqIgtNdlz +Pw2/XirJkj00Xn2HDAc3pWFKqsN+3V4KwVIdHVFPUsHgKj2kKk/hh9PhDzsU +UzEv1cE5rUBhgpNp18B8iOri3VNh+yhg7MJpPd2H8HpR/iJ/P30fUTtZiTkp +6DlorP1akUJ/4vKC4Npk8E19OzeuRNfP1+G6WfsDiNbobVuvTN/vQoEja/vv +43Ow0a2DKvR+Nt/6mH+SUDPLirY7SCF0ebu12ZIkDExZyoWo0nj88bDg3fp7 +eFj7wuOxGoUzu3a90diRiLbDjcfZ6hRizhqzEtUSYOvVxR46RIFxccC3++Rd +ZKsldS89TOPzTvHYwjPxSImPCJE5QkHQJEZWxPsOMo1EGnWOUriYrL9+Q1gc +OCP591yOUbDKrKjmS4rFrbWxCyI0afzPJvN/yr0NvgUL5xhaNF4CW3ge1sbA +4J7MDbY2hVh7ngc6L6ORoLnm4aAOhTgDieyGhiiM+lVq8OrR+DjmrdM4eAuy +RSNu4voUJEmE4P0lN3Fu2m3TQQMKHMWB8WOy4ajofG5tfpxC7n3eX2z9G/i1 +x1PY6wQFJeVzw6Lu19B+MMk45iQFxxfhA1qxIUj+fFQg15DeL6OvXav0KiRW +KB5sMqJwK2swQ7QzEEuvDfZ/MqZwNpUvP3r0Ch44O85OmNCxk2Hprb0+sD9m +GbzSjILrcKDuXm8vaI6/c996ioJztJV1SMUF2C7c3qBmTuFRnVXO9B9XBF1N +dTO1oKAx56ik7uOIyoB5d1dLmm+ZN/2LJq1Q68OovmpF60P4RZXl03pYyvBV +v2tN4f+BnxeC "]], LineBox[CompressedData[" -1:eJwU13c8lW8bAHD5Kckoo4XKLLvsKK6SHQ0yQoqQpDISMiIqaZAQkRLJ3nvd -9t577711nnOIxnu/f/l8P+fxPPe6xs1t/lDHkpqKiqqWlorq/38Jw+rko/oq -UNzL0VcpREJcbheMnQ30oJftSWOkMAkFR1edjaS+BY7KcredREiI1ZbvnaCR -JajeaIzTFiWh957mvbczbeAqmETwi5FQ/BeOH9932sHbmknlP9jqXHJsdpkO -kDMQHtd1koR27Puj/f6mE3D9J1mZdIqEVIysHtIxuoAaD83nZ+IkpBf89ENf -4RNgMjgsc12ChLxIpt1/rT0g8aVK4ElJEnohzCpQSu8FMvdFU3ZKkZBxsneA -wG1vSM25/G4Quyb2Y2pp4TOQE6WXzpAmId3IjSAvFl+YeR7z7YUMCYlSaWo+ -sHkO0lwqfcayJOR3XGHiZcULiDmwu/fUaRLKvPTcupndDz4W/vyyU46EXGOH -FhQdXwFvzLbkAHaf6n/OQ43+sMeKPjhVnoR2aSP2OL43oMzwt+zZGTye0qHJ -CI+3EHg5tkj/LAn1/BAdK+l5B01JVb5CCiRUsKuaadehQDh0kfPIX+z3v2ev -VVYFwt6um8/bFfF6ldrXh9q/B+OjZ0tjAa+HkYGj19EgWGnXr3M+R0Lro4HX -vRqD4ABxKVbzPAkZ2h72CXX5AFyWJTpHlEhok3+VUsEfDJ+vSHetYospshbv -7AwG/iBlwYoLJERLetVv6hUCB/Y90glWxuv7wUi/RTQUihjVr1ipkBDFI0Du -2mAo5Dmd4z2tSkJn+WX81/w+QtaR/kY6NRJa3HvzcoxMGMjQ+GsOYh8bOBJo -OxUGQq9qvySr4/8//UpXKygcUqKpmzw0SEj7d+FXpXOfoJI2ofWSJgnNMbV5 -Xl75BIJW/EnHLpKQkssc4RAZAdTeo6Zr2G23TuxJ0YwENeOzi2VaJPRuX1b1 -n81IeH896sp7bTx+IlvM8sdnuGNuGWB2iYQ2Pl3XmtSLAuPfKz/EL5PQ5ZI2 -fheaL7ByN/TTjisk9FVeu4I36wt0V2bfacdueveMjXTqKxgwR++NvkpC95rC -0m/6fQX+m+lBdjokdOsVbUHv6FdY65JeB1183gIeiBvLRoNj/TPhvddIiPv8 -wyML76LBpHvm/Aj23ohkL9+ZaBCfTpNK0cPjk2o0FVL8BvSaQjTu+iQkB/ZF -gyHfwLL+a7qmAd7v16qfwpa/gWCyifxhQxK6+oL4e0slBgqbvkfPYlfJH1+W -+hwDRrEVMznXSUhS18+ajRwDYwabdL5GJBTLXv/on1YsxFX60+sYk9CAR9h+ -SmwsML8sXjxmQkK29PGXNn/Hgsze1sRl7CIikXeX3nfQi6bWKLpBQif26Ycd -S/kObhahNX6mJGTadzNdeWccEDZ1vPo3SejvA6+HTjfi4FBR9y3eWyR0IdK+ -PyMnDmoMtjzWsCfbVtZ/Mf6AIHV7txIzEnLnyynWtvoBOtGPrvub43xh7KOQ -UvoDYl8pHDK4TUKWU4ddDh2MB9IFmnxeCxLK6JO3C3gYDwJSVHJr2Nv/EgRZ -6uJBZOZORLElCfW3iMR/5UqAo2z2o35WJBRz139V3jUB5JKv7NS7Q0K5Ma// -G29PgNc98ozc1iQkRb09GySUCDe3zDeWsJWKYr9e8UmEoMrtyvy7eD3z9cXZ -hxIh4ISso68NCR0OG/u8KpUE/DaqO6/cI6H9SawLbW+TQJrH6AmHLQmN/6o4 -XDqTBMKK3zpmsG2VK0/lQTLo7r7ElHkf5wOqRYnisGQgCb0R9XiAv3eTha95 -PRlssv1PqT8kIRcN1t0Lmikwwe58kNUO769l/QRLbAoIn/OcGMauYmXJV/uT -AupOTe/j7UlIwL7ptZ9+KrR7vOV3dCChIaN+s+60VHD5sPRZwRHHly2Hohhd -Ghy8y7ZN+4iEpv895vtgngYToicVOrAbJDoO0RSngXeglUWkEwntdvAPKNuT -Du3lk3ZWj0lo1Sj4yHPZdOhxbjU/5YzP70v3/MsW6WC9dlV+C7vyjZw51/t0 -mCAFbVS64Pw8XcG5UZIOP3oLPr11JaGgpX0LnQvpkOi1zGvwhISSpjibcg9m -QJ3ltQ9cbjg+SWNVX5Qz4HgQ2/w89ic+w5539hlg8UOXP8udhKasPal9ozKA -PCqj7u6B5xN25eLTxgzYwzx5VcWThKztmzK9NvH7kt2VmJ6SkManNXk//kyQ -rTrB3ov9Jbp4OkQnE1Todvd/8SKh839P5SQ8zYTQtnNPrb1J6OLey0mVyZlw -m5XMIP4Mz//Y4YbJ/kxQsld79gub3yyIdQ9tFkyJG42W+5CQN1H6SkYqC8pV -L/P5++LxTMaI3TXLglot9as6z0komUeN5tu7LOh4a2XF/gKft5A0hvGiLLCk -brw9gW1EP61xfD4L6HVDNRJfklDWubUS+wPZMNY/d9DBj4T8xwZsKi9kw0bM -RIvcKxKq903T4bDPhlaHmAc7/EmIJ9fV2TUqG0JLNDfqsF8vqwwON2ZDSOaG -deBrEjoYzO2l/isbDE/XVxq8wfP/j8O64HgO8K0O0x57i9f/5fmQU9dyYEv8 -mvQMtobpd7pU7xxYPqiplfKOhNjzDGrF03JA0WlY61EArq+5Nm1FQzngNyQs -eyaQhIYd1o9r7cmF9i869NTvSchk81/ThGwuRLc/qK/DNlNLqnpqmQscqp/t -A4JIiFOfbh/vh1zYGbz1n/4HEmJmFs9oKsuFgv0xXpzBJKRoLJ/ovpILEguZ -sxPYRUyKfyQ48+AfWUUuIYSE0v/oJa9q5AHflLPTw1AS+vczsiDTOQ+ETlhE -Sn/E65kpdsL9ex60/uJP3cae3jyxcbEzD3hu9SWWh5HQI884YZ4d+SAhEBr0 -MpyEnpDrav6K5cPPBVdL7U8k9IM+rWHcJB/YGKN4WSNIaNbGVa7RPx9aEWdz -H/aeQo39Rfn5kLRjn3lUJM5fkUq3Mmby4fSX9xO3P5PQfPZLzlS2ApiQLLok -GEVC8E1BK0OpAOKF4uJWsA1p/NcL7QqgpfTeQtYXEvJ98oGpMaoAwn/zsbt+ -JaEDMd7fx5sKgFK+IK0YjePrqEf+360CEELdCv99w/XybZoGj2AhvHL+K16H -XR1ywVjLoBCYlDxY3saQkMSQxar780L4q2EzejUW10v6c7uzswohIGA47MB3 -nI/bqOPXxwvBbW5FcRA7cHSwTXpfEaRS5bZ/icP9x+qWr5diEWQbaV61+EFC -7cWBNe22ReB8pbJEIJ6ErjO2fhSMKIJc1tMHl7FLkua2XtYXwbdUdCMjgYQu -3WP+ubRRBDo09u+dEvH+n/B8ani8GO61m2fKJZFQWZXF94ZrxeCdnFT2BztP -/LflBZ9iQLvMi8uTcb9k5V5ZkVEMV0Qivz9PISHNO0fL1MeKYUTZzl0jlYTI -Spym3UwlwHqNOMeYRkKJ+zO+WCuUAJ+8IqkNu3TX4ZfUtiXAkX37Q3A6zhda -7w/EfCoBN5Mn3IYZeD1FDK9o1pfAp6SPnzkySahrI1lmc6MEjm220Y5ix7O0 -NSYfLwUT5zO3vmXh+r9KzWKtVwp9Cktxltl4v5j96IV8SyESNgcFckiomSmm -8GdmKRReefRvETvmXRh3xXgpfOF3Yk7LJSHei6lKYfsQuOnuZXHIIyELFmEu -J0CQdMVgh3Q+zvc1+sWGDxAcdTIb3cCeufHk8IXPCOK3zicXFuD8Nz0qJ9WE -4NEfBmuPQry+Xh3HRLYRKLv3sJwrwuOXbLXav78M1g0zk6mLcX14XMcTJlIG -MYbZ0tXYN87+Vj6qXAYqfGspL0tw/6oW1PLDuAxa1F33a5aSkMJ0ZpmUYxkE -y962ZUAk9HD9BWe1fxkkqZZntmBf6pKdNPxWBjwZcXOBZSQU4Lu6f62gDNw+ -HmfSLSchjpd9Of7tZTD0T5d3fwXuD1ePVAnMl4Fhz3mBXmzRm4vnG6jKwXSZ -+kh4JQmF775/6uGhclj7k7DDuIqE3JJbAw+eKoepHxo9nNUktBBxzqJSrRyU -HIhPI9gP85eTHG6Ww/vG4stfa0joyKOdd/mdy+E3XQ5hVktCv9pzIwfflUPV -vdVXvHUk9M1KXD0krhysDnruncY+Y/jdVqe0HH5yOD6Pq8f9580L9Kw9+P32 -Y4t3GvD3a87y9y6Xg/pmr5JgIwndvldZFLWzAuTc7vkvYPMhura7RyqAnJJc -kdREQivVSrdPS1cAj1jKom0zCYkc+vZ4j3YFPPHx3CnWQkIRE8b0YxYV8B+X -xL5VbPqZWJ4C9wq4fKufPr2VhE67ZpaEBFdA9evnm3ZtJOT5snDYKbkCirrU -esTbcX8ZRPK5XlUB7Ybi339i/80Izjg3VAFs3LqWWR24nnzoviNMVIAmT+mB -R50kVOG+8uMwQyXsV/ApkOrC/YTGIUd6vkoAxSxtMnbI/TcNVGcroWfEtDOn -G/fThG/aL91K8K0K1XzcQ0J/fM7yUu5Vwifve1kyvTgeDVaOU3wq4UHIMuMG -trRqT9GviEq4ZStqlNeH7w/o1CRVdiWo3joT5tyP59skH0XfVAk2+SfqZAdw -P8QisXJ4qhJaE6gXNrDtW651Cf+uBCuDoT95gyR0bnD86nm2KlDoqPrPZQjH -e8ohayORKog63LQtO4zrq4HcIWflKtDjoJ7ZwL7v63v7o0kVNGY9rsgbIaEP -T89cLHpUBWdT5d47j+L9Pvm1beJNFcxUGenIjuF+5xCZYPxeBULR8zs3sF/f -8Cg4W1IFaJCclDuO7zMl7scedlfB5O93yo8ncD0LlxX4vlwFnu5VrdKTJPR4 -+WfXyM5quFDxXZuMPWJAHOc8Wg0L/Eql2VMkhPY/O3ZDphr0V+O5H03j+kkz -iaIvVUOM/ryz5AwJFX4zpVuwqgZvX5byn9iLTAp/pJ9WA1+Q5J+MWVwf6Goj -n3+shvevjEXs5/B9g6wy35dWDWmW4ZdOzeP+u/e/qZN11fCU5fftVewR/Yvv -/MeqQfp+kG3qAl6fkjvzc5vVcFH5nvX9RRKa2IylaDLXQKtBiIHIEp5/xOW8 -dMEasLt+TH4Ru2YwW4RdqQY+Lh3cl7iM7wsfeAxfGtXAp7i3/dYrJCR0YVZ+ -06EGepgCQk+skpDBPp0e29c1MBUlpDaDfa4mU3g6pgZCKh4sxq7heO69ftas -uAbO9t31ub1OQtHGYXTjXTWQfUpoL89PnP9Yy4ItlmvAb2/puzFsmju8o4s7 -a+FwkiT1FxKut5b7Fx4frYVCkfC7NwgSelo7n7tTthY60n9XcZBJ6M4KoRp2 -uRYWVG3ZBrA7pl5HiFnXwuw62SCMgs/TTZrcOq9aYIn/EaC/geOjOPujVXgt -aOgGFLFt4nilJc7vzqwF6vbCwQ7sxz8P56Y01IL/T9m1wF8kpD/qSdafrIVd -Hmy/Lm3hejvgtoPmdy3ECppSGLZxPYywGcxmq4Po7zxzDdibft9974rWgUPQ -wxa/3ySUkPPyL7dqHSw/10lQ/UNCjhO2miOmdaC9p9+F5i+u954Zd6Oc68Aw -ap9CBfZ8XOYN80D8/zm7KE//4fwo2HJCKKEOGvPqYhSoCBTtbV5PLq8DE2oL -1W3s2KGWC9UDdXBkdno4fweBrh50DAsj1QFXirHNY2oCOaO0uocM9fAosGNR -8j8CvWeb6dbkrwe/CgPzdew2WpdyQcV64LbZbE6lIVDU2bo3DAb1YBxTLma7 -k0B36eTlSA/rYftpma/gLvx9Z/G6Yb96MKSlbpvBTlJmPdMUXQ+uMh/2xdIS -aGBc+UNpYT2cp/JWNdtNoJtOIh3ZnfXwULvP/igdHt/AqV+pS/XQ/Pt70CB2 -Z3QBXcrOBpCYpMSH7SGQAsvJnWlHG+B7Y2+2Hj2B6AS3lrJlG8DcWS+XhYFA -QZ98K0qvNMCuKPeUVuz6jtMvm+7i55evf3rDSCBHsvfZkWcNgPZsuWsw4fGN -NE6SIhrAN/Cu3q69BErg9fFkzGmA8n05vJXYPSz7mYRbGmAf2/zs030Eyspe -/aA12wA9h1m+nWUm0I4mb2YHqkZ4HHZW5xc2e4+8X8ThRlD882gzh4VA2gyv -f9VJNEJCcm2wAyuBOG5PWm1dbAQ16vMnTrIRqPB1TvtJy0aYubKctoi9THI8 -c9ezEZIn+sTi9xNouub997iPjXD0195YiwMEmlh+xjyX3ghyzVF7uQ/i9dlb -7CXa0AhuAe/th7G5P2QSjycbYY81UR9+iEB/I4ceVP1uhKzHnYf0DxOonSVj -bf+BJmDqlDdlYSdQRfgPt3snm8D+jcynFmyDsNPM1epNIJHY0eTPQaADMsOZ -POZN8FKYg6LKSaAHJnvNfd2aoICW88B/RwiknqfBtRDcBGfFxkUQtmYO7apu -ahN8ePFY3u0ofp9fdWt5bRMErc0qyh4jkPVxqirJ8Sa4qnxenoTdrCHdnLDV -BLo670TSuAj02H5yiZetGTwnB/bf4ybQ7YlXfN9Em0GtQIJynIdAK3HxTnxq -zZDwNrp5AlswsGw88VYznGWVjIzixeOR0bWRftIMluSfZkZ8BJrbnNhX9aEZ -xPuWjh7gx+f3388e/ZRmeGUo0tmO3SBPW7pc0wwnGUo83x4nUNHt2Fq/sWYY -8U7k1jhBoLg/l8kntprB8DxVMY0AgXbqB6o3sraAZWO9dhm2sO9ShYNoCyyG -s/S6CRLo170ly6NqLcDANWMgK4TXo/iQZMutFmBruNz2EztibUv42ZMWSPhj -dC5VmEAvrx7RkQ9ugbbDrPF3RbCJPT8oKS0w8diHll8Un8+SyyJ5tS1QbZVn -OoZ9/abLpNt4C4xLFaZEiBFo3oilRXm7BU4c/0jonyRQ4o7kZeb9rSDnel2S -5RSBVh91XZgUawVTKwabZuyKOI6OfPVWSDhWFOYnTqAPRiyfgsxbYbzNDl2Q -INAkv+ZnO/dWqPtyeuQvtqed3rBOaCtMJx0hF0ji8+VUayyXjn9nEqZxkiLQ -ZSUpdr6GVqAZukd/SppAzwtPsbNOtcJJ7sU9i9iCITo3dv1tha3pLOo4Gfy+ -k2E//9K3gZ5I+89bsgRiLEnv/32oDS6uaQ9ynCZQ9V409Zu/DU4JSBf3YOel -BbD9k2iDgqr3Ie/l8H4Ert7971wbjKQ/uKMlT6A7LMnTdNptsLejR5z2DM4P -Oz74sRi1gfDubqIcWyjUQffInTZ4J/oo3f0sjk/nw2pCj9pA4CCykFUg0Mk8 -fQs57zZwDy5j/okt3/srSfNdG+Q89MlLVsT5qrrjqGlEG2TeZ9G/AwTKHc0o -cYxvgz/aLsvc5wh0Zu3Oq9c5bUDbiDyGsFXFa559r2gDUjhp18fzeH8uRiWW -t7ZBr83RV1eV8P4bVuwYG2qDrDlNGoYLBHIYpXlFtdAG9gU+LjXY9/pOn+fd -aAMmz85pL2V8fpPEhdVp2uFph7LWGRUCjUlUqj1kbodJ7YkkMvZSbvnHsKPt -YP0slyZdFecX0g7OKuF28PzTqG+jRiAS6/Xu9dPtkK8m+o1PnUBVeZFV3Krt -QD09NTOCPbvybUFXtx28rv3hC9fA8zmrpO53Cz+/z9tEVxPn95CrI6X32yEq -4Mlbxov/z1/xKRtP2uGxEpFXi33V+2iehF87sIVuDnprEagf3mw/DGmH+p/v -f53RJpC5eYNb2rd2sClu2EfBPsideXo9DY9XJ4U7/RKB0gWOSEqXtEPrXmUR -m8sEqvs0fc+toR1uXAw/xXeFQG+ZZiYre9vB1SBPbATbM/BXBNN0Oxg8iz8e -dhXvV8x2sPHPdpjY73xIRwfHD9S1Jv5rhyEDURoGXZxfus5o/2bogOVX3fPV -2F81JJmusHdA4Lxr/dNrBBLYfs0ad6IDTqfzxcjp4f0u5TX9K9UBWqxjj0nY -n8b7VgyVOkBWOVc5RZ9A4wL+NTmXO8DeLoPhjgGB7DoOzLDd6IAn5YMtXIYE -YgoxvfTYpgPWTeD1AHbb1/NUA84dkG4xcz74Oq4HX77+hucdEEkZ+KltRKDN -LBPl+KAOIERORNEa4/rpbtDH8rUDjh3tvlCO/ZHZseBpSgeMDq1MPjHB53VX -0NxKYQeAi6en1A0CzVh/tLpV1wEx229ZV7D/VlpJdXV3wMiDEzE/TAnkd2RK -R3OyA473XBM1u0kg2k1SRcVaBwhIcGWy3yJQqI7bc4W/HcDu9UG8C1sx4WZE -IX0nxBTkJ701I5Av+cVO+cOdwNwdzqVmjseX2ltVdLwToPpcINVtPL760wMg -1QmfXPO2CrAPF75XrTnfCRojtLccLfD7HRr2XL7cCQJDZ8pELAnkYtF4YsCk -E1IMb3DMYNd5eUTdsekEOZnH9l+sCKR0uuHhhnMntOkGVhjewfXQLSLy1fNO -uPE2h4nFmkDXSgb5j37ohK9Fq3qN2B0rTgw5XztBKls9zPcugU756l29lNoJ -URoN3Qo2BMpwsCLPF3XC9YueTBv/t3jIr5f1ndD6/IFS+j2cz4taTAV6O8G1 -Itb+ri2B/vhTHW+c6oTmWqFInvsEOh596Irdz07QvL6nYhA7zGvnyEGqLgiR -1Z4MfkAgzlO5beWMXXCb688/7Yf4/MizCz7g6IK4Ft5DtHYE8krnnuMU7IK7 -Ww3CZdgl/CVMLTJdsGz4W97VnkCW2cOfvZW7ID+yXEXCgUBSvx+Fyup0QZAT -n9Yi9j5ep1+rN7sgMFDsUqwjgcS622oT73fB3rD5izceEahGxY3a2q0LeiRv -qhxwwvM/aZ144lUX7KYLl2/Fftb5umw+tAuEC78K+z0mUO3vAZXU2C4Qn316 -6Lwzgcz+aJ5xyuyCANFzO7awg9LboxXLukBaYHE60wWv7xPLJ3tauuDNQ/+a -e64E4tH8U9032AUfwk/E8D0h0P3QwOcJ810wKtfkNozNbH6w0H0Dj3fc+0qo -Gz4P8v4WOju7weOYDvdldxyPMhPPhVi7gcFLdYXWg0Ab24eO7eTuBrO31nll -2CoFAuITYt2g2Vru7upJoBYhhpLys91g0misKPGUQG7hpZUxmt0wS3Pu9wL2 -/cEzqn6G3bDrj3NujBeOB10vlYdW3fBDgvG+iTeBPhN+FYaPuuE5Dx3X/mc4 -XhV0S5WfdcM5NafWZmxuhWE5ycBu0Dls7PbCh0Cv3vPL8EV1g8jeKl7wxfXE -Wjj7YHI3CH0uqNvAzvdcyWYs7IZP0io26c8JtIv3odyuum5oU7fbffcFgaik -UpV29HQDu4pyDPdL3C9yp7T/ncS/hzbID2DvWLk/+3e9G6ziGVqD/HB/KkLy -3UHVA8YTrLcuviJQOM25pF1MPaCbNL/8nz9eLzFDYybOHqC3/uhSjH15E0IP -CfWAo9txKqfXOH+e/23Cf7oHfqh+9RV9g+PlaVC6lGoPEAJMu2awXxfvDlK9 -1gPLT119o94S6EKoJbWxeQ/o/1j8p/8O9//n06kd7HpA79d9l70BBGLwW/vw -2rMHlFvoVmqx2xvE8n686YEe97pbXoEEktzx6H7Npx4QMMpqO/2eQPSF9Xmz -8T2QUdCpsI5dyyH/kT6vB2SXJeITgnB/NN3KIFHdA7tVBvaaf8Dfux962Liz -B4b2dj5iD8b1+Ht46YvxHhj4dLy3A3t7/8zv7FX8PvERmdchuP5N+nVP/+kB -v6P/BV8IJRB/c4DGYYZeYE+MWtnGXhSiM7rM3guJHIWq2R8JlL3+324/gV5g -LTCNtA3D65MRcK1SphfqakJW+cLxeflYfG6HSi8Mv7Q+N4xNaxvRfF63F2gU -x96FfML1OkTht69ZLyQL7hrUjsD3i8M5zQ0Pe2Hm1STfrkgCWXxku8Dq2Qsu -kd62pdhZVx/eMH3TC2uf5zMefyaQ6Yn+I8mfeiG4no8sFkWgbx+tnv+O7wWn -62dlZrGflouEXM7rhfsv5Jy+fMH1zOL8pe/VvXDSjz/T4CuByGOFGX86e+Fs -CN3y3mh8PzidXmY40QvUkyv8ddhGe+Xcc9d6ofT7iInXN1yPEu9PH/jXCxH7 -Jt6fjiHQbsLqjytjH5TqUVevYZMeK1aPcvTByTh1Snwszue3mRTVhfpgW7yU -3+w7rk9v162zTvcBl4Ct7uE4ApU++E+NW60PYnKNn7Zjf+K71f9erw8i94Qm -vPqB49mRj3unRR8cvMLXcT4e54uq+8fcHPpAN3Pvr1/YuYJG3SSvPgg0Njua -mYDj12i38sOAPhB34lGySSTQu7yPtsuf+6DwhIkFTxKBRNUFrjxI7oO5Twef -D2CfKxlYXS/sAw/yjdigZLwedm1aLvV9EHbjdIVmCo63O8LWO/r6wHUzbYQ6 -lUCu2kwX3s70QcRC869C7LMekSMc5D6oMIhgdUzD+XLr15mU//rhpzm3iHA6 -3r9HF03Os/SDv9jdC5PYXWq55/q4+oFzyO16RAaBUjxuLdif7Ie0N+YPdDNx -/m+yM2JS7IfQW8ef0WcRyP4jU1CKVj+8dm4LrsSW+WkWdNm4HwLX7sa5ZROI -+PzBhLjbD2cWtnMlcwgUSN+8HuHSD67PAmoWsXeYnNZVfdkPqT2i3TG5+H5+ -i+oZKaQfcv4bmzDOw/Un4srTmNh+WOZPW2XNJ9B/Snpa+ln9IH49drsRe+b0 -mQX6in5Yya/b5VtAIJ/Dp4yq2vqB8RY/89lC3F+eNP/8dLQf2O5WshPYe9yo -chRW8PxWkniTi/B5TZP/9vd3P/TvnhO2KCaQrcx5qwr6Afjc4SXJWYLjQ1SF -+hX7ANy2eCrfhd1r7eKsIzgAjT1L596U4v7DkbH2KC75IkodqsqIQLzvZH8u -qw6Ad+lprd/YQ5lCW0hvAF7eFryaXYbzWxDHWLDFABSqp+jZlhOIJgy+2zoO -gP7z5ut8Ffj+Ot2kqfZsAK6c+nBjCNvu+lY73/sB8LpFaxZcSaA3/v/O7Pw6 -AC4ikhZaVQSqbGTzn0sdgKTEY3doqgkkIuxY0lIyAIbr3XeLsYUcr/XmNQ1A -zoGbto9q8H1eiNQXMzgAJaeqHojU4ngP9a8MWhgAGz0m+ylstzz9MN9fAxDw -SdUxso5AjpeDDV13D8LW/sdO1+pxvh/22ml/cBDuDX93ZmjA/Xm00dd7xwfh -265R1ypslU+3hO5KD4LhDyF390a8fn4dsXeVB0Gr+72nVBOB4pfX9t3XHYTT -cUe8l7DDGP88dDQfhM2TvT6xzQT6snK60t1+EO741b4wacHjN5qlf+U1CN7V -G6/YWnH8DV+8GBYwCAZ/7N42YQc3JD5LjBoEZtWz733bcH6U1chCKdi55iFn -2/H677g/0ls8CJW3l8MJbK5Gk52kxkHotZyOSu7A5/nPTUHmwUE42qkba9GJ -47Ou9KLEwiBkVZxP5OwikPiJivv6vwah62J+ehf2r/6sQI/dQ0DzoizvTTeB -LtmO5Pw4OATMr24j5R4CaUm+Hek6PgR77yfW/sZ+cImBYafMEFzTjGrL7sXn -MT4eTqsMwVs59QHbPgJ930x78uDaEJTqZkzx9ROoqdyu9MftIYDMidUhbNNr -8gxTDkPQ+mB6O3iAQC9aTCx5nw2BT0zFbu1BnJ85BRst3w/BmI3PgZ1D+Dxu -rykmfR2CjtFT/CXYCcSuClLaEOQf6ZJyGsb9vWWpHqAhMD/3WEV0BPc7rve2 -37YMwX4LLoNp7MGTt7NHh4cg9vvg3c+j+L5yfdtbankIVHgyPPTGcL8Y7m/5 -5jcez0ZCEOM4gZStrW/N0g9DpHJrfDX2r33LjiocwxByQqjMYwL3G9n20XFC -wyBUVtknPYmtcWVhj/ww2Il9/7mMPRY5edlBYxgOf+hljJvC49d52TlkOAw2 -ey2ETKcJZDj98bGm9TAYV+uqH5jB9/cEB/ki52Hw7E2704It0+zEdfLlMBy7 -6+33YpZAC3pUQnGhw6AY1Z6oOEcgA34HQ664YfCISGihYM9vCKd8zhkGvRcs -ROo87rctAwSPVg/DlO9+jjsLBGqc/NsS3TUMbKVFF44t4ucrh6MEpoYh7jrT -g15sAZnAT5mkYaDxOvApYIlAhzTcKuG/EXhvNFyrtoz7zwUajjaWETBntd34 -hy02/+HbbZ4ReNbdKJC/QqDTpADjLfERKGraaWK3ivvTcDO14PMj0MnP+15g -jUDF2g53xK+OwB0m0boxbAsrkZL2WyNAnSOyI3wd35c4tzWc7EaAU0P47NWf -eDxvNfdyeo2AwLa4Kx0J30eKXjLVBIyAx2+N/HLs0EAuDccvI/DyqfsvVwL3 -BwM+ZbxpIxCe13FWgozz3VXux72lI3CsX+/ZAnZ50N1771pG4PnhvQ3fKARy -P94SrT4yAhJptGzGG3h9PMrZd62MQFW7+i3WTQIxErm9NX9GoKFgMLURe7CV -Z8CfcRR+fa3/5/OLQGUXnvDqHBkF+QoO3bNb2A8kczhFR8Hu+mA8ga18ozpw -4ewolMUw70jZxvc/uvi8Iq1RcB6tNbb8TSAd02vCgSajsEuLtuDIHwJFSiov -37EdhcNC/Yd6sJ/q/vyr5D4KoUWqbu/+Eui3y4AZ95tRiLxwfUz1H4HYrroe -/C9yFHx2sav/w37jpsU9lzQKZI2gzDwqMmp93eHVVjQKg9caj9ntIKNRutey -xY2j4PiwJUCAmozvSxTVpMFROD8ZSz2OfU4uNP3z4ijwbRu4hP9HRldrl5w+ -bI+CyX/ra1dpyEgTKWrV7BwDbw1X2z07ycjMZOZNFeMYvOPcWqjAdptK86ja -PwYTTe62brvISNrT9FjNkTG4lLxnXZKWjAKacxzq+ceAkSnFZQlbn3B1aREd -g0bV+/99301GP4IeindLj0Fu8rX3N+jISLvWOGpYYQxcP9ryHNhDRrynaMpm -VcZA5FZpbgv2kwWxjyTtMfAy0730kp6Moj9849uhPwY/NqTmgYGMhDSO391n -OgbmXrYvN7G9E7wtua3GgNb4P8EMRjKS7HJnl3owBh5z1C13mcjojs2Yn/rj -MVB5/egxz14y0gtwyjD1HAPfH2Y8g9h5cztDHr8Ygx0xne0f9uH5fTGWCnw3 -BkLTnb5azGQUaHo+MCl0DFh6753ZyUJGofrPEuqi8HpNxpJLsHnOLHjNxo3B -9mO/rMesZNSkrHJwd9oYZP075nSSjYwkxG/dF8obg4/Lj+TnsG0u7Pa9hMbA -KDPwv+j9ZJSqTG/yqBavR7l72/UDZOTqK0uJaB2DU4FK0SwHyehkv7Fude8Y -fAtZdGrEDvuq9mhtdAxiNb0v+R4iI5ayhutH5sZgU5BRWOEwGZl+z6HRWhsD -wfQwegp2n2q/k/vmGOQZi66lspPRT17a1FSqcaBO6eq7w0FGVSrMqRO7x0H+ -eFg1FyceHzQ8PsQ8DlEXvXP7sV3FdtJdOTwOajHhSUFHyMinKMTyFTd2zkLs -xaNk9In9ytsqwXHIoPf8RnOMjAro6bx3SIzDR4kbsSXY/wZCzp+THwea/PeJ -j7nIKMmsqdVLaRzoRfhzTnKTkeAuH5FKzXFo5+KumsMuLw40pNUdh5dCAb3R -PGS0Ttt8Tdt4HJxGXVaNeMmI7tdenpDb40D0ztKz8ZGR1ymJ8pF74+CdOi3S -jB02wiAp9Ggciv656bzgJ6PSSlcXZ/dxuGmT7Q7HyWinuG5Qje84GASEJW1i -5+5+5H3w7ThUM0uMZpwgo6HSPFWbkHFYCfU/eE8Az//61kTp53HQq0m6xidI -RnftDxnsjxsHpPEldBg7UmI15n7qOIg0PxgOFSKjRBOThtrccRj9yyt4RZiM -lC4oNvKicbAIqHOlEyGj5RbHH961eH3ErVorsIU9hm6Ot47Dt0+7hNxF8f6Z -GZKV+sbh0LOsV9JiZFTHV2cdNzYOJdGPV1awv9MyFtHPj8NIznXD+JNkZDS+ -e9lhfRyOeVjVmp0iIyruqH+Dv/D65ced4RAno6nmNJIq9QT4CfPldGGf9ONu -yNozAYyRc5LvJMjo4qteHx7WCXDs+JOnJom/H5vL/YFjAoLD75/fIUVGR9Ri -Y3fyTUBd6fm2QuxJ1xeMT0QmYIrZ1+KRNBl9GLtwY01qAtQtFf+KypARQ1Fl -sLXCBKy/ffJ5Fttrejl7QmUCdG4rKUXLktGl/sRS00sT4Im+LBmdJqPrKZOZ -Q/oTIPY0MpJNjozeHXgWZHJzAuK9lXRasMOt7UxH7kzASHwEo588GV0ODT9o -bjcBj/ozWs6fISNZifnSWZcJ+Lz1LmQbW/rhRb2H3hNwg3LWPOcsGXFxpwxu -vpoA3YJqqYcKZPSreFvHN2gCNiQkGQUVyWj+On8xc8QEGOkFLE5gx2YcOhQd -MwEu+6daI4GMJriq70gkT8CqzZlC/XNkdDSePbk6ewI0r3xJ3Hcev2+Rbsao -ZAK6Kg5HN2BvSPse+Fk9AXEV2Z99lcho6ZGb4uuWCajXefJV8QKOD4UJ0+O9 -E8Dr+ihhEzu/McmlcnQCHiim5Gcq4/y7o+mN+dwEXEkVa7FVwd+3lo38b30C -rHupF46rklGt1OSPuF8ToNIoyTCO/fBcdfpF6km4HdUoFaFGRin7uvJ+7pkE -Feuu23rq+PeuXaURrJNw84Jh+F4NMlK31KtS5ZwEBW2z7npsTvX8RhLfJFjH -/Troq4nzbYpA9zfRSfB2EDZTvEhG+x2/juvKTIJIH1XGJnYID/vPXTAJp3f4 -0mZpkZEcEUhbrDYJz9iRxX1tMlJuoeJ1vDIJHNeK605cIqMRFSsVkeuTIDj+ -XHICu/ZL6cNZs0n4s8H/PfIyzk9ttDGxNpMg0BF3xOAKGdV7nhu77TgJlsks -n5mvklEElbUAv/skpNQ48jZhu9z0dJ/znQQZi670Fzq4fhj4Dqe8nQTHRkWV -87pkFKPvpuUUOglCqiVj29i/vSwbFL/g+XEb+eReI6O2FBXDPfGT8DHlmKi9 -Ho7Hu8c2etMn8fofGhHWJyPKBuXHjwI8PqFLoTPYvFfb77lWTEJhc6NetAEe -H3/2Be3GSfD1jeA0MSQjjpHvp3i7JiE5vXbhwHVcTz6lSG4PTcJQrlFZO7aP -dKd29/QkaP0z/fzGiIxWzh/zyliZhE/kEW81YzLayxTRGLAxCZTd0/epTciI -NeaKuB3VFPxLcjMrwf5XrZmpQzcFq9dSTFxukJHWZvBlWZYpeOXhe1PSlIz8 -Xc7sOcoxBVwx9DYr2GcvXJzcxTcFcara7gk3cXyzdgyui0xB0JJuqMUtMiKZ -jxAj0lNw/IhQ/jEzMlKzfXqyRXEKZC0GxgewJwWr3yC1KZC++pA11BzPx6CM -MevKFNx0JmldvU1GJY7PsuKvT0H0fft3DBY4XkuPPP1qPgXhLaTeWmzOs9/t -P92bgozTzwV9LMnIN1vkTeijKTh66ZSPohU+/9l1rcEeU9Ca/W/qF/bugHcK -IS+mIPTA30s5d8hI3iS452PAFBzklim3syajxe21iMiwKah9nnlG5C7+fX/x -u5joKdj+5VE6i011iCk9OXEK6GRjNGJscD1UoNqRnzUF+7dEhk3v4fG8TH5W -XTwF52iOu7LbkpFzpahMd/UUBLKHH+nB7vP/wjnbMgX8u943vL9PRrRKR2W3 -e6eAKfiQl/YDfN7Za18wj0+Bboi8It1DMqpkzWcQWpgCntEdO6uxubb3NiiT -piBR07XLy46MFO+vILPfUyCYk5R81h6vV4/jqtfOaWClin27iZ32qPz6N6Zp -6N933znbAZ9vvV//qg9Og2A7s42dIxmdN1KcXOSahkmxz5Yij8hIVSabhk1o -Gqg42W3msH/aPbVUlJyG8ncfnGOdcH9hVb3r3tlpSPRme3frMRmxqyXPh6tM -w23SjxROZzL6w268t/HSNGzPGPb0YVeiXy5/DaYB3ZbYHeKCz/di+gkps2m4 -4AQXrrqS0X3hRE5bm2kIF379kvEJGW3O7r0e5zgNNBFc3fXYWuaMIxPu06A0 -tEfkhRsZDea2JHO/mIbHDHpvlNzxfIa9aswDpkFWew/lL7Z40lWRuLBpeFIl -fbfIg4z82h+OLkZPQ3vkxLSzJxnFj+0Zl0yaBpGdnLZST3H+VdOV8Myehv3i -y9tr2Pp6T7oaSqYh0tAsJMUL5xu5zLrDtdOgl+9z2sabjK7QiO271zYNz9/f -nD7+DOffBO7k0v5pWBOkipzEzqGq+Mw2OQ0MTXYmX33w+ahUnrFdmob/aouP -3/AlI4/AsRe15GnwfbC6dfg5Xv+VJi++f9PAy8HW34Mtqq7U7bN7BhiFZMo/ -vCAjq3XX59PMMyDz51bWlZd4P/lTgzQ4ZsBk+0saox+OHzr2v2l8M/Av4G9O -AzZdyq+6Q2Iz4CbsV/PyFT4vdP6Ej+wMUF9QH1f2x+P9j+7Z+rkZiLqiuYv6 -NZ6fXY6DmeYMSHWGSyPsM0yttZ26M/DtktJD9ze4nr8JfaZ+YwbSLl7OkntL -Rs/8tWOR1QwcNWzasYE9EiIjJmc3Ax93VRtlvyOjLbEQ7hzXGRhZUS61D8Df -r0t5KumD/z/FQORkIF6fmmqN7Dcz0De1+/sSNpcvr7ds6AwonrEQSHxPRp2X -mE6UfJmBAROn3DtBOP7utZxVSZiB9i21y/wfyOg9W0pla+YM3Gic/TmB3e1B -FJsUz8D8q1vRX4Px+elYFVyqngHRjRIj0xCcb+QW6T1b8e999Mc4Q8mIqV3S -gqV/Bq5u6a30/9+5B6USJmYgXzi+7uNHHD9UM+5KS/h7SkypemFktKd2BUbI -MxDJHhzFGk5G9kd8PN3/zYDzB5VP7djLB8lyR+hmYf8HseiAT2TE1vjRsYxl -Fj7TGGdpR+D90UIiVpyzENbX00Yfie9TOWVWTMdnYdfO1F/12MPcP3kKTs6C -yfMlUb/PZOSYkWhuJTcLH42i7qtG4fn6K504cGEWTr1uzaf5QkZf+1kc6rRm -QZ73zd5K7LgOJ2UP/VkwlBqz9/5KRscza75I3ZqF4u7eUYjG56nU7PnK3VlQ -53t6/S/2fbVYSqLjLDgqTYwUf8PxnrhE3PWYBS9DRju3GDIqvPzJW/jlLGgF -MzDKx+L6nMoYtRo4Cx6CSzmb2Ge14i/mfpoF56v5Nnnf8f6VNr1+GjsL9y56 -CD+Ow/184sjNi6mzcNlEbVPqBxk9rleqP5w/C5stPO0kbIcZ0/qF8lk4SXDk -Zsbjfnks3Ky0cRZceeCHfQKuh8nGH4K7Z+FWbljsqURsPcZb90dnwZhFOnUV -e+nPoXr1+VmYjuKqSk3C/fDofOtxEv694c7M/WQyunB5yYn2zyxo0h3cL5pC -RjNFb4sXds2BVI/8lSXsc+lnv7ftm4OMjNGPSal4/7usxQvY58CTh2XJJo2M -di0/M4/lmwOvnBEtoXSc38Z+ywWJzUHpn6uF89h+mRoFz07PgX2wi1RCBh6f -//C4k9IcsB2+WWSdifNLpmjOPa05uC7Oclkgi4z6Q9OlLPTn4OKrqNVZbOH6 -YbObt+aAt3Pf5x/ZuP/fIaZ4w2YOQmqdDO7k4O9xcTTeeDQH3/kHjp7Ixfc/ -Ya49Zp5zkJ6pSZrB/q5X8NvKbw4+ynd1xeXh+/TW7diHQXPwJcCn0iqfjL5F -R1G7Rc6Bn78lOl5ARrNU84dexc3Btz0v62awf2xXzoWnz0ExmRiJKySjw98z -HFMK50D2dDH1nSIy0j0vXVRZhedTPS95ohivl2pn2VDLHGyF+DvMYl++wfxi -s28OTiQllf4oISM+i8cMByfx9+mNDlmXkpH1A3+908tzwFj97akAIqOXNT3m -JhtzML0YRMxhS61OS/vsmAejCFnnhDIyKo690JZMPw/PyJ9pbcpxvhxxl+zf -Pw8KvJ3fhSpwfmw5Zrabax7krk1dXcR+Ml1kJC80D6fRCH1yJT6fHePcD/FV -PS+6tdO2ioze+PLmxynOg9a5qgTRanw+hdmOjavPw9uZ+rcr2C2n1Q2P6s7j -+rT8NK2GjCpu61ma3pgH7QgFL7taMtL50aEWfWceBCxq3onX4fhRMdwxaz8P -1gkhST+xJ2uefjjpPg8HBvJ7surJaPrv5L8nL+ZBz1Zhn1MD7nf3cKvXB85D -wPApQ5lGnJ+udt1nj5gH28yvqRvY9q8jHR58n4eRx59YC5pwP1V02LA6bR4O -lgq/fNJMRpYyy8eOFeL58JjTnW3B/UB0QaNb1TxkqF789AdbmsxzY7BlHu52 -EnKoFa+vR0u3Qv88ZLraznm1kRH/kLlszOQ8DKyj70rt+D5E5+dDvzIP6du/ -7Wk6yOiE/mzR4815eGcqrl2DbW8rPDFFvQCW8zayfp04/16l2tRjXIA6h7xT -ml14f61Z/9UfXIC+Pj45hm68/w9Zf53jWYBnO8qvtGD7vEifLRRZAL2BcOfA -HtzviUY2ycouQLxhSYpOL+4H1F4l5J1fgAhXORJbH64n7CJe8loLwKnEqd6L -zasjr1OmvwBrpY7J4f04vv/ZcGuYLUAhzSUukwHcv0U9Xu26twBHThXEHB3E -8cRysPT24wWItqyUGcf+lkQbQPZagIr2J/0xQzi/8O+08H+9AOwJy6+thsko -NbFZkSd0AdQFhC4JjuD5dXNxl3xdgH8fFLmWsD0yEYNxEn5eTo46bRT3G8j2 -v985+P22AoT9GH7f6uKur2UL0PyanSI1jutdEvVhtcYFYP19ZPcmtnq385n1 -7gXgFT4vVDSB83M1q13U2AKcCAgy8ZzE/d/Vr/mXFhfgXhzXl/NTZNRQP3eA -mrIAjRu/1mmm8f39T8GbfKpF8GMR1avDfnJmgsOBfhGk3tXVvZ7B9VRHvEbs -wCLspx/UujyL72+hLm9XuBZhRNxxnGUO55thf8cM4UXoz/ryogf7p+/ZJ84y -izCr+fDsp3kcj/a3Y86dX4RvBWvUpgt4fsy9awxai6DUKDHAvUhGNKZ2FkP6 -i5Cvq1wxjZ00TEeVZrYI3SelihKW8H7FPq32tcXfV2Guvr+M+xHDtNwbzosw -6r0wKr6C65eYS7fcs0VwHG6hp2A/+lnIe/jtIvxn2KxeuIrXm9ooZvvjIqAt -ItRzDceXvpz++LdFqOi9RlFaJyNjd0XFhpRFOLfntxXtTzLqiLpyIzd/ETxy -f801Yg/4GOZ8r8TzobvhHkjC6xVwTj2sZRE25aW59Qh836whDr7rx+v36n3v -YTIZoWbz4y+nFuGVoveXEezhFVcnn1U832RW1xgKzq+HhGl9thbhgpihhfUG -GY2PWA8/37kEnwVNzUQ3cT/pfWLr9T5sBmm7n9jn501uhnAswf7LS4F5v8go -MIlq77fjS3DN4UOl+xYZPWBgoM8UXwK5HfK7lbZxfFA90as+uwTHA1dNaX+T -Ubao2tqgGnZJZW0T9rFV+2GyzhIsnqxRCvqDz7/e1lFW0yVoCd/VZvCXjA4I -TORK3l2C3znBD4/8IyOhBZEfBo+WwFjDi3sSW7d/dN3z6RIk8PRPx1NRUOfa -jvAE/yUIY08rfrCDgtoXI6J6Q5YgnJUlToqagpjU8mnoopdAfov52xa2r9Lt -ZoVk/P6q0vSy/yhoZTJxyylvCWweCXS8oKGgO5tR7zIqlkCU9eYu7Z0U5Hng -6uu15iU4nOugzbqLggy+dv2U6Mfr4e74ox/7dbVircvUEtx+Z8/2lZaCRJ/H -7alYXQJvLo9gq90UxJvOh5i2l0DWLu6EKB0F5S90zpjuWoaU6j/NJGyGtDaf -TOZleOL44WXhHgriuSwXRndkGRJ7nK9501PQZ4rocQuBZUD6RVLqDBRknNJ2 -skJyGYYtHwjsZaQgxesqebywDEle0Sd7sDXLMkr9NJfBWcxS8zMTBVG9VlBf -11sGix0NLhZ7KchClUX/htky8ISOFQrvo6BuS+OFJttl0Agu2EfCblVRpT3n -sgxSqZZPCpmxRanTcn2WQTKavOHNQkEOOmWTpwKWwV36ySsNVgrK6c36kfpp -GaQVaU4ys1HQxU7mPyfjliE6PHauDzvpEvNMdsYy7BS3zf26n4JcNRYtFEqW -YWDzXpj1AQqKKRpwq69bhvS17HenDlJQw0dO0etdy/CA1zB8E/ta8+qTpdFl -4PhhlV92iIL+aIbc8VlcBpnP64t+hylomeoK+cjGMoRK7JG6yk5B9JMWx4up -V+Dul/LAwxx4/xbZ/9xgWoHnJwSpJ7B/cha5/ce+AkfZdfwSOSko2zcwNpl/ -BRg6tHkdj1DQK4U51+viK9CZI9p55igFpdkz/6VTWIFY2f/CaI5RkPuNG5Kl -6itg3D1q34ytd/UY5+NrK1BwqPtWKBcF1WQnF4rfWgH4SFjc5Kag6N03mNfv -rYDzz8ueAjwUpDb/iifbeQXyejeT17EvMwesPfFZgftUO9YLeSmIbNzgoRKw -AswSTzR9+fB5qY1oYo1YgXOKjwu0+SnIzcVydDpuBVKoaRUPHqegt4Wv84sy -V+DmXcW+Mew+GiejkNIV+Ggt5pd4goI8tl/VOjSswDT1vPYjAQq65yBNfa1n -BS6qeQkqCuLvPZxikJtYgVNXd3HsFsLPn9y1wL2yAj7qb3k6sOd5GSKZtlag -2OzEuUhhClLeusv/b+cqUIZnHK1EcDxFhviRmFdha89IySlRCjolRVu3eGQV -ZC8cO7qNnSUiNzMruAq7V4qDq8UoqEomfnpWehWePa3nDjxJQb80OusWz69C -qotBtdEpCkqOPxNE0l6Fl3dcn/KLUxDdhIXyv+urwDB7/soa9kRX1ziT1Spc -+VIpWyRBQd8yWe/zOKzCOxVmmReSFNS7I3lOznMVxCMVLl6VoqC90UIGev6r -sOhg7MwpTUFt9UeLHoWuQkqcR+EsNjcr+8Gwb6vQwZ3HliVDQSmP0u+j1FUQ -G2J/4SmL413DpXyhcBV2DRYxaZ6mICOdPfvZa1dBQTwldb8cBa0W7Lin3bkK -Ov92WI1j2x/4Xe07ugqWjs1SKfIUxH4/XKBscRUs6nk4XM/g56XcQ/5trMKe -i/sPq5zF+Sc59iU39RqMX84XY1agoK5j17RUdq+Bm8Ixk2HsO+bc7PeY1sD4 -5Y3oBEUKGvpm/jOIbQ040l78dQIKCr78sKeYfQ0eKac6Kp3D+efw19o5rjVQ -np6l2nuegvxJl2oPnFiDYgW1uEHssIO9Paqia6C3e+x2vBIF9dCEbLhIrsEm -Y42c0wW8fs9mhFLk1mCVn1FASRnn029CDpOwBntk6sX2qlCQQnl5C4fqGrRI -MF0awrZ7yaikr7UGSsfWnieo4vy1bNccpLMGiow+PY/VKIhW/opDu+EaXD0y -CMrqFORNyyzBcnMNtjwZKpg1KEhEiZ1Jz3INguyEb4xivxbuov10bw08QYs5 -RZOC4ozjucbt10BY3WfkyUUKSqzYYSTksgYSlKkqdS0K+pKolePkiedT9bzq -gDYFHSygSFb6rsGXs0+Gp7Dr1h70srxeg4ebPXuzLlGQbhZ/tMX7NYj8mm7s -fRnPr+JNUP7HNbBf5ii/fIWCCi8cTGGKWoPaONFzR69S0JtSuZ9WsWvAGrvV -t4TtzG1zuzxxDd43fXxdpENBxyqOUR/NWAOeg+yG/roUZH2zs9U9bw3S/EMV -r1+joDO8/5qHS9ZgUYEHBPSwY4/+PVe1Bl4GHdc3sN/PpprFNeD1YSp+V6NP -QchcbIuxfQ00E4jhEAOcv/5w1jv34vV5+l7N0hCPn/V36+TwGiRs/miUuo7H -63Rpn87UGtx+o21DY4Trxf2w1xULa0Bd+ZG3C/tNyc0L0utrcEc6ciPGmII0 -YoTlEjfWYPuN3YyjCc7v/b4PuP+uQZeP0NqFGxQkG0Ge+kSzDu1To2xsphQU -8I0u6gD9OmS/jrs2hV0jeikimHkddloGp2XfxPni39URtkPr4PYA8T+/RUHH -zb5bfzy6DmW5Cnl6ZhQ0zjdwhpN/HTJv8FscN6cg/R8+12OE1+Fe8BuRDezW -dplKEYl1MPn8al/dbQri4vR/kn96HS41SewLt8Dr826/tyqsw5cXUcI2lhR0 -qMqhr0dlHQ5cmDQ/Y4W9dPbZXa11MPT/X8nVHc/l977f9t4rWxRFdkWic2SV -FS0ZFQ1ZqVSSNNAmJGRFIiIjKUl0f4iG2RBFpSWKhvV+nvfA73xfv+e/63We -M+773Nd13UepVnwPE9I7pE/Nrh9HGUzPhZ8I1mtJfJPuPY6GzEvvVAUxQaLD -44Sx/zhaxVi6JTaY+Ev0bGx74DgqNxBR2xBC9J5vxefgveNIJxNxF4SS+rG5 -mS16aBx9WPGHZhLsUPDzbkX0OPJSWiL7IozorUul/obYceS8VnpNzl7ib7zX -+DjnxtEvdnX23nBSL+YB6GbSOGIHLxLF+0g8dMmgZ/o4qvpxMUN2PxMClLV+ -MHLHkUbPPzREsKxE9Ma7N8YRs+SAYN0BUl8ze5YElo6j/l8Lfl2MIPx6dm2f -2p1xFGypPbr1IBNs515qvq0dR4tRrIjpIaLPE3WrUhrH0e//vB34DzOBWyLZ -5dYyjhpSn+T1Eew/lNgt0T6O2nJ7FW5HMoEy+mf/8tU4et9fVnbiCBME2pnG -6e/Gka7flq3ro8j9PfFP9RscR7F2lKHuUSb4/fq7V/fHOAp/lq/GJpjZt6dl -YmwcYbOQxV3RTPAcv3S1aXIcLfgavvHGMeJXQYt/prLHkePap9ciYwg/EN+j -QJ4JxPp9XsDlOOG/8w9JG+EJlBDSnaB5ggl5pvk/FKQmUOveuyZTBF86zLUb -V5hAjfXOU89PMmHbvq5F3WoTiLOouvfaKaLPG4czqnQmUFrRbF9ELBMWWqqm -pOpPoF1GrrRTHPFrKawYZTqBvg3ctVCPZ8LOu4YG/pYTKKPPJWOC4M+fGl86 -own0zt9E/vlpMr6yQ9jScQJpdhytvnaGCXu9l7/Vc5tAWvG24QfPMkGubsBC -ZeME6uIvcF57jujr02tmUr4T6NhQtaPmeVLPP7Y/E9wxgX53XdoxTbDnfiGa -ETyBbp5yz2u/QM5z99jTmX0TqLpbgl1wkeSTurl0JnICiZcMHY5KYMKOswfs -545PoEtC/2TWJZL7KW6n+M5MIClhp66Fl0i/UFjoIZY4gQrf8t/mEjzT9stD -4coECq+xu/UmifRzh9PY87MnkClH/WlZMhPOCmasMy0g8atV8selkP7m9w9P -u1tkPF9yl/dlJgzcPsW3pYqcX9Pnu0kqE1LfbgvcV0vi87x9RvgKEwwUTsZc -aJxAa3jU13wmmDb84lTcMoFGpNoM6tKYYD53tq21fQKNRXaapKQTvpw9JDjy -egJ1Oq72Csog8X+vmhHvn0DbSuzy8VUmDPna3l36ZQLRfWPCyplEL7zNdbeP -TKBDxt5p4//DEam+iX8nUJZakW1bFvG/kL0bG5gTqHnhT+nCbCa8X/ZW9u/M -BIr6accbk0Mw50PmAoFJtFTjpcKmXCa4qWSP+IlPoubUUheja8TvFi3gz5Sb -RBpGY4VCeUx4xk77/VZlEn38W6PxheA7RcIlitqTiO+fWkN9PhMGY66Z+Sye -RBu328WkXWfCpOah1Osmk2jnObvt4QXk/4NVz39aTKL7bSt2r7nBBFR2qG8Z -IusVrU7SLmSCosPof6cdJ1FJWXQ/l+DCeTbnet0mkdnF2bV9RUS/12UsMdg0 -iTiiox+qbzKhM2xhTZwfGZfceiWxmAl2nqrqH3dOotKkA3v3lJD7sb4dZhU6 -ifgLHEJX3yL+/1q0KDtiEtEHmYnqpUwwU49onTlK4vcoeE0TXJms+mZn7CTq -ztxp3VNG+jMx++6O85OIp92nreo2E2q/6jdYpkyiJyeKYhLKST84IJNbcnUS -XQrctmFPBfFfc5sDyvmTqHBdsbtdJTlP0aRNUvEkwtrZ4ZpVpH/dfYJfsHIS -XfniVcMhuNFk8bNT9yeRUvmM2rs7TEhxXH1+tmESJT0qvX2vmgnS+1WcT7ZM -IsPd0dsv3yX1xycgxdcxiQaVkyzDa5hgPOL1/sKbSWQQyGfhco8JS7NCb8sN -TKL8Cdpn0X0mKOvnnLv+ldxn/KUigVrynnG232/yaxKtYw/KfSM4w+nZnifj -k8h3g1Tpfw8I/+TP7fdmTaKIW1a78upI/+38M3GCMYXqjWMdYh6S/nHJZkgS -nkJLrXndfOqZsLjSUtRIego9tPkYbfmICTcPzu57qTSFVjeZdis2kP7sndLk -Yc0pRO3XdJ4m2HCKStfQm0LR8k9H3zQSP8yS920zmkK9KQ737j4mfuv/w/7o -8in0daSx8DIQP7k5sslg1RRabrOufv9/5P+UrJTPDlPoUocyva6JCR1K0VSm -2xS6Ommz1biZCcF8kpc2bppCFww//JR8Qvg8MbBBbusU+imnkPeHYGv/ve5v -d00h3u0i0V0tTGgvcj+ZHTaFhofeH69sJftxJX/uODSFjuWVlCY9JfWegJOM -YqbQ+LUrM+HPmFAUEHVgJn4K3ZwHR9c9J/w57p7enTCFYne4aJi8IH7Ss5Vb -dGUKzfzxHpVuY8IZT/vS4zlTyNdT/Ms4wQcGb+R5F06hH9an5163M8EoWH3Q -8vYUmjj9zfFeBxNUP/vsVa2ZQkbqrg/SO5nwGgm48jyaQg3Knz2OdDFB48qL -47+ap1BoVZOcdzcT9Gkvgb62KfTGXI6x8iXh782dQ09fT6EUdUpB/RW5v983 -tOr7p1AEf8qmOYKvOHQ/vPN1Cl0sYMCX10zIcrpZU/aL5LM7dH3LGyaw675L -35og93FxSqqkhwmHkzx6brGnUOV4I3XhLdl/vJJRwTuNdtmPiuztJfVl9yLz -nug0ujKU7+jRx4TcBWH5IDuN7H3mKszfMSEqao9Sl8o00nE2xErvST6Ck/g+ -a0+j6pNuM2yCTfY9CJzWn0aBI/FDn/qZcH19g52k+TSaTpuimweY8MI8+pr+ -ymm0/+ETi5IPxK+SXkU6202j8xUKNxI+MmFkVfHrvS7T6PqYpOX+T+R+zw/W -pG2YRgsVe1gbB5mgNi9IHXynUc7vC8MrPhM9EjeS/b1zGvH5buLR/MKER2zt -dI2wadQd4uvE/5Xw+d/K0g2HppGNe9PDnwQHHD/gmRgzjS74lm/p/saEpFpI -eX56GklLrl5w/zsTeKx1Q4QvTaOrgrfUcoaY4Lrq1meX9GkUJsa/OvYHeb+c -dqVSr02j+8IxaXuGSf+yT736481plC69XN59hPCDb7HMkspptM53S9PSn2T+ -6CmVE7XTqMhJJFf1FxN+HLN6+ebxNHrvs6+Id5TE9zh8meGzaYRtq/t/EpwY -YeV2sXsaCXdNr3o1RuJRfKwy2jeNgLPzVd1v0o+MqRes+zyN/Me0U6//Ifzl -xn57MDKNyn56x57/ywRJHcUhnfFptGW3Sf7+f0wIkxAtvcKaRhasztEt4+R9 -43DZTIiXiYL3+OyxnSD1Y/Ht9AlRJvqSPSOjP8mE4aUrC1myTLSyZHBUdors -f/xdSpQqE6m+WDTNIXi7w6wHR4eJagJ5jIamyXu1bvJH7BIm2iOVmtHFJOsL -8G8WX8ZEmTF8xnUUE3K2nyjItmGiG5dPUAU0E0oEazuWODKRlN+SfwksUq/u -vAPN7kz0S265ciSbvF+LHnf7eTHRmGprhD+H9OcZzpXs7Uz0kodvxplL6q9P -JDo3iIkSTijXLZshfF67a/nqA0wUEmlWpDVL+Mz79MfoUSaKZx1pEptjgsv6 -/KSsOCYat5OXpggOattl6pLARJ2NpilfGRSM2Se/ZqQxUTeHbdvFQ4HwaM7h -+lwm8oXshfW8FMhZi2tE3WSiOubKlcV8FDjLB3avqGSi040i8an8FFjcM780 -V8tED/2MZ04IUHD2GZ/vC2CiJS7vSkMFKVgZFmx99TkTFRiaXNgiRMHzFdyl -wa+YSL1vR46DMAUFa7asQf1MZLs297OZCAULVmhEK39joiP3hL21RCkwWjnZ -SY0ykXVUD7+kGAWJCrFO/VNMtElnyXcOwTsNI3/9N8NEPoesqZ/iFFReOlN/ -W5BCid5mq95JkPP/DXyULUWh5HGrh08lKZCE3n+X5lFoY0J80H0pClwXZWw7 -M59ClcUrXIukKeAqhwrH6lMoaOririsyFDxZpzVxypxChZtvVsfJUvDM+4zm -GWsKaX6pNY+QoyCsKDztkgOFTrz//StAnoLjp+5vzHYn+z2I6vNUoMDRwHLX -bS8K3V94lmWrSEFF7/un//lTiMtw8DRToiCgOu5UfzCFSr2/f9KeR4H9X810 -OoJCzgev3JBTpiD/VaGwagyFnFpjc/lVyPwqgUHbMxRqYn/qmCZ4fNZWbW8S -hcIn+82HVSmgfX1acq9S6OKTm6/eqVHQlLpp4OV1Ctne21fcpk5BbAnaLVJG -oV92wXcbNCiIGFwc6FhDoWu6T6YrNSm4+0L/67kGChk6Vu4v0KJg2mnbx85W -CtU1++qkzafg2tUh33ndFOqf4Eqc06agzWc4YM87CinvemISrUNBRkHyZP0X -CukPfE7Yu4CCiQkpBblRCq3aeE4zYCEFSzbnt+2bolAg38/RjboUOPlFz3s1 -Q6GZjZbja/QoWL74G6+FEI3u/S4xtllEQdrx+UkF0jTafTukxHQxBWL/xT2W -VqHRZFHNFl19CtiCPpmndWg0oF9rp2pAgZc2Q2tmCY0yn90Mkl5CgcfNN97R -y2nUjWqfCRhS4PvP0pmLaDSeqhrAIXjCKns6bi2NMEdk2bgR4cO1Pf6SG2gU -8ee+3bAxBRvVlZLz/Mh+6hsvfTSh4MPdBWfNA2nkeURZtseUAqEtss6d+2jk -v2Dl6zYzCpKkgwZDj5L1E/50NplTIDFd4ywVTyOh9cECD5eS+rO5mPIgkUYq -W75E3VlGwR7nM/d3ZdCotjFx0a3lFGyrcXiseJ1GZZ8L5K9bUPDJLaKqs5RG -uVu9bDItKVC0qrt0oYZG86S/30hZQe73d9tW50ZyXrmTDhesKJhbtWuB9DMa -XW/evjBuJRnfZ/+j/yWNNB42rj5mTcFfS7NbZf00knjz8tohGwr+e8sOP/md -RomGr5aHr6LAXyoCef8h8ehREkGIgkNrIjQsaRrpBBzT2YEpOH/+g7QaLwt9 -acw44mdLwZbzmaoC4izkuzNO1Gs1BQqNaXaTCix0qP7IB087Cv7senrphyYL -1ey789vVnoI7qYvnPi1modKDgavWOFBgbNWU+8Gchbw4b7rsHCkosr4aOmjD -QndPmecjJwq+HmrYP+zEQgPNULVyDRl/sqZ6ypOFJp/WMCzXkvjUfM2E/FjI -6J1z6lJnok9XlFkagSy09fx/ROgoaA6sFrXez0I37nhEGblS8EDKK2xbNAsF -HLDoNHCjQMvNUefsafK/efXOxe5Er0ybl9YksVBOCXul3joKBIwViocyWUjj -ucfmhR4UnNC7HKNeyEKh7/7d1fGkwP1IcqNPBQv17563Xns9BdL8B8KvPWAh -0zUCS+dvoOCkc17aUBMLDRdMb9HaSIFI2Lll5h0sJPtFr0lzEwUt1kWbz/ay -0E7oD9PcTEGD56GZT59ZaHS1m5+mF8mf5Eljm1EWSnr8OFlzCwXv72+YuD7N -QhdfhwtpeRM9OnjBRZTBRlNh155o+ZD62w/4qCgbcV9cbJnvS8Gyj7l9v+XZ -aO7QEVEdPwq+8b5SCNJko9NritIXbKXguqccz8hiNpoNXx+ou43weZ9O/t6l -bGS780nMou1k/toX0/QqNhIbt3yv70/BGY23ohfXslHVsuljhgEUPE7T/K61 -kY38rlvtNtlBwa+WC+cat7HRxIRLuvlOChiuM+ztwWzkvjpM3GIXBdU+YfbC -h8h5mZ/arHZTUN76Krj2BBvVdg6/XBVI9FbB9EDIBTYSftemYbeHAsvMDP8F -aWz0NqbjnlMQBcf2Ka36nsdGzVGmV1yDSfyFr6TKStlIYXBVvWcIBXXmYwOH -77GRvIqVvlcoBU8XXr3lBGxUMRr0zS+MAlamWIxmGxv93SvzY8dewr/eBL+Z -HjYalos2Cw6nIH3HTo8vg2z0sfTn8337KDCQGt7a/oucf3NJaeR+CtrFDyc8 -mmYjw2x2z/EDFORyDw1WMzio3dPA5UwEiZ93i3+lGAftuh8rfukgBQvfZ8pX -K3LQEW9H5fRDpD4/P+Ktn89B74ybD1w7TPTUfJ3piyUcJHZ+lWJxJAWRj34V -f7LgILaUgFDVEYo4qUkIezUH3erZbl8XRcHumPZYNXcOyl2d1dV0lIJTZhFT -9t4cNKjLvdkeTUGHzffnB3dxUHLVm7a3xyg4UjIqULqPg+zDQm0+x1BAPfS7 -+z2agzTWSc3+Ok78W0Hxre5ZDlpSISbBPEHB22bG4X2XOWg9qgjhOfU/fZLO -epxL9te2VZKIpcDl6eo18rc4qPS9vJxyHAWIvn5hfw0H7XaN3LYwnoKL21bt -evOYg268qGGZnqZAcO2KQes2DrIQUhtadYaCzj/1PBVvOchAZ1bL9SzhWzz1 -WucLB30tLK3wPkdBsKuRT8EYBx07Gp6w5zzpF+pK8xbSHKQ4m1t/+AKp18NQ -coePi/4xz6w8fZHEc/plzGopLrqWFi15JYGCkY1rFw6ocNG2Qx3mNxIp4Okt -uBWty0WXr3ferr5EQVzqVsn5Zlx0/fLLyKYkglvFtnXZkPlGi9JfJVMwFOGU -H7eWi4y79IS+ppD8nnjw3mYTF7lZ6HROXKYgtUVSgRHARXo3wof5rhD9MRX3 -fhHGRfV12zYrpBG/HoiuyIrioj9X16jopZP8KpupHDjNRVovY81XZBA+5SqU -rEvhIt1A/xsuVynou6DgtyyXizR7rPZsy6TgXJqRrfYtLrIRDYo7kEWBm0LI -NsV7XJSyD02dzib6qvvpkcx/XKT9bV5jZg7pLx5VBMh3cFF+g+vH8lyiH4+F -t2i84yLDTvNNTdeIn+ovKTH+zkW7/PUW9uZREKK9w2vNPy7ytYl1G80n/iTL -eyCIyyX9bk4Xo4D0U637ucnCMyhi26tbijcoUDmrxQvyM+hgwfEPSwopULa4 -fHFaawadM+QG2xWR8QMeeeaGM8gQl3r63CT9Ux7L4eiKGZR19cuVA8XEL1WW -X3zqMINaDvKaXigh810aD6qun0F5V4MXF9yioBU2ikVtm0EZaw8ff1hKwWmP -l94fQmYQd+Npw9dlFBRbyQatOTKD2kWZK0ZvE39HYqghfga9X61fyF9B+ofm -+mGLlBl03C82WKOSgncjRqGPcmcQIL9LllUk/w9Pv3YsnUG3t6lJbbhDwQqr -Ed3++zNo+L7O373VFNxLTTtwuHkG9XX2GF64S/Kj3/NoXvcMEmpIbS+qoWBD -G0OqZWAGlek0Pf/vHtGHxvhDR0ZmkKlFy8KP9ykom3g7bTY9g/7VMb6xakm9 -q5/KZfLMonzuAEOpjgLtPpWIZslZpD7y6OTSh6TfbXE/laE6i7qmBP3X15N+ -4H7Py4hFsyjSZMGN/Y+IHzw9vNdr2Sx6uOqYY3ID6dcuivnbr55F77wPuVU2 -UvBa99TdFetm0bKNUQ86H1MQGtMVbuE3ixZl/Tv9GygodebNtwmeRcVGTrUS -TRTM22jp5ho5i3ru/3Axaib4dF78zvhZlBhm5bjuCfF3+UOu8SmziMe48ub+ -FgpUa0Tu3r42i0SjKkNSW0k+bzU9/lA2ixbsvJV+7ympN4b0ccW6WRRRIaLX -94z0v+XR1JbWWdRSizXZz0m/Xp1lWfR6FnnGN5xQbyP15aLkQg/OogcNYw62 -7RTcVLqzYtPvWWRcY3t4dwcF2avMpR6xZ9Hy7UskLnYSvcyJ610sPIfidmhI -VnURvg2lZhcozKFUkYtRPd0UzHwMDdTWmUMzrl9d2S+JfkYucig3mUNtr7MT -tF5TYDrHtEWr5tDDv3rLnN5QcMVDOWjAhYzfml0b3kPqkf7efMp7DpXeS2tL -f0sBX9CTrcZ75hAd4/+gsZeC72pm9sOH5hBovpf+0UdB1+vm2Ftxc4j/QGSf -5HsKCqtUtQ+mzKEF3Dtilv0UHI2gTJzy5tAGAd7KgAESz42F9QvK55BywrfH -CR9If/744gux+jl03+nlqtqPFCSHa4Vyn82hsbt2Rl8+kfuvni5jvp1DQXz1 -l8Q/k3qTMk5nf5tDEiZ3tlp+IfrbJbhceGIO/R4vzNv1lYJ1KT86pBgMXN8q -53n5G+lHlhwK1BJi4KW/Txx+/J28H5J//V4mycB/9+8WHxsi/aLHlWAPBQYW -0V6jqDJM+vNdTwb3qTFwUs6tK2tGKHBYObA5TYeBD9uLnDnyk4LNvY5vG/UZ -mPL4/av4FwW3fhwPGDNl4Mst71p7R4m+DfPxaq1g4FsHPRSFfhN/sQpq3IIZ -uJm//4PFHwpgtWN2hhMDB0xylIP/UpAS55D/3p2BK1JsurL/ET17oPxm/mYG -/iWgx+4YJ37PjLPet5Xst8k2b26CggMdbl+bdjGw5XbFR2ZTFGz12tCuHMbA -mR9NPAOnKZAJOjobeZCBecLUArKZpH/Lvxv3PpqBn53dPdpFkftJmN1mG8fA -3MSsf3wswoe24OzKCwzc3ux4YAWb8FdX0nr+ZQYO3sDdu49D+p1aWZesTAYu -Xu88fJNL3heM8i7F6wy8FZo+fpihgCOv1pVVwsDmZ6Y85eco0H1w10O7ioEf -nDhs78qgwSSqc+udWgZed+Td/dM8NFQO9HHtHjNwqeHd4kZeGtBRl2UfWxl4 -/aZMJYqPBq7GHcmYTgZWyZovYipAw+WpnBSttwy8+9rQsVBBGrbl1TS3fWDg -JzzH9xcL0eAfUFYe/Z2Bn++MHf4iTIO90+rNJmMM/Mf/0hd1URrm2bk+G50k -45nW233EaLDafEuogsPAm6sMAq6K0zB830HzEB8P3rOOHu6RoEFnXFvRVowH -5yyxnZKVokFDyX1KTo4HGwkWn/WUpmHo4/emMRUePHnrWX6KDA1jL+TPtWvz -4P5xJ/xSlobaTaqud/R5sPPLF0HS8jSIqzgq55jx4I4148qeCjS8Zk4wE6x4 -sMKRnRtTFWlYZp3yO241Dxa4/HRejxIN3j25AqeceXD5SNMeRWUaHu295RS/ -nqz3d8bWW4WGvpsbGhJ9eHCaxYJbuao0nFvqEZa7gwcfjhrM/qxGE/0I8L8b -woNvJg+oLNSgIR98CroieHDQ6dZFIZo0LLbWsRyP5sG/L7i0VmmR9YLvGqrE -8+B8XvXx6fk0sDRlE9Ym8GDfuF/l1jo0bN6+zfvkFR4c8Wo3K34BmR/bWvAo -hwcf+2vb176QBt495/fOFvJgd0VzJ3k9gm+zW53KefCJhj9rty6ige9V3L2r -93jwcKbB5+LFNFw/kr36TwMPflNUIDquTwNPQtdRl1aSH03RtpVLyH5HYGdV -Jw+evaypec6QJu/f+aIqvTz4Rvc10TdGNBjbNkQmfOLBfzm2lzRNaKhYG1bD -N8yDlye2lYSZkvsfnd8W95cHq7lQPvVmNPjofG0RpnnwtO+FEuGlNExVPK1I -Z/DidBu7JK9lNHjYzCYtFuHF/zpHpEqW06B7tyOiRYYXh7ghQ8qChl0bE3YG -qvDi8QCJYacVJD/ipaFSOrw4S0V1VZYV2e96WToY8GKpSVPz0ZU0yP/UH4tc -yovf9ao9s7GhoU1+4OgyG14suPAWO2UVqZfBuLUcB178paag6zuiIesNI/C5 -Oy827Xlnt8KWhj/xzv25XrxYaJOGb9JqGly7w6qj/Hlx7jl7he92NJSpJzJ9 -g3lx/WrNg1YOJB83vt9zjODFbT/iD192JPHktlGWx3ixd8Ba9Z9ONIRkl7WZ -nebFB0zXhNqupcGiUWTF0ku8eCjExz/bmQYJ7hl3mwxe/KTed2bShYbvwb2K -7vm8WCt0sZ27Gw0fjrVfC7zFi8333DArdaehY926v2ereXEyKung96Dh/NRu -pap6XjxlqCIb4Enye9dQe/AJL5ZWGeR7vJ6G016DqkqdvFjs2sAN1Y00tB7v -kvbq5cVXBam/RzfR8GMgWCJ/kBf3+auMvdtMQ3fySo2/I7x44JBJpuUWEs/e -n+ucJnixR/fC6UxvGlTcllWVcHjxy5YRPrYPDSN+M2ukBfhwSGRwq68fDR/3 -W+vHSvLh571ZVo+3Ev5vFvVnK/Fh88q9u+Zvp+HOwlzq2Hw+/CC/3+6MP6nX -bPtZAQM+vMzo3fufATSs3XUoNnMpHy78b7veup00FMXXJ5mv4sP/lYQZ3t9F -Q/i1FvM+Jz5sqc0dUw2koWbz9hPxnnz41g6JPfF7SD6rImMsffmwXFpB7mgQ -DQf9FK2Zu/hwzOCjpI0hNMCikPaGcD78dH/AqsehNGCPx5aJUXy4IiarfNFe -GnK+nEzdFceH4x329l8Jp8FG02bYIZEPi8wfeT63jwbJrzcdTDL4sNgJpaNh -B2hInElo0LnOh3/8FB17H0H09uY3H60yPqyo2KO95hDZ780TY917fNjw01mN -B4dpOFUT6LzsMR8ecVvxWfcIDeuE9evdnvPhhGK+4KtRNOkvkpP2vSbx7WbU -C0fToF9i05f9gQ+vWuvaE32MrL9mrrD7Bx/u8hZ8+DuGnH+0hV9ynA8Xj60L -DjhBg/V/RSKbOXx44rbrj7cniR4aDjSXCPDj0Gvapi6xNPQ7tGM+aX4st4jt -3BRHwzWbuStBKvzYWnV2qeVpGvYNLersW8CPze/7/qs6Q/RPR3vGw5gfi5St -PrHoHA22B34v7VlB/tcfGiw4T+rZq/ZMgD0//vPziKLaRaIff18xWO78uFLP -TOdqAg1fdsODbG9+zH/PTUjuEvGT44saHHfxY3tasCU5ifiHwlfNmXB+bDGb -6yORQsPZO2NTjUf5cdERz46EyzTsYRx2u3CanLc1SEXsCg3l+3tWbk/mx99m -FzsmpNGw/f7l1yibHx/lfPIQz6Bhi2/AAoOb/Dh7S8/KpKs0PPTRtZ9/hx+L -x3kLy2TR8Pb2hL32I378q/6/B2nZNPR+FLIyesqP3y3Y7qKcS8Pgnb7lDq/4 -scCLxJa8azToVfOv2/OBH7tfL1qwMJ+GlLc7MtKG+TFvLv/e8uuE/1q0VucE -Ga+UyF96gwZD2xlemVl+rPRGp6GxkAam9ScPfxEBHK5c2ep0k+iX3ErNR/IC -+NttxcbXxTRIhY/EzdcSwPL9bYXbbtFw1+lfyhUDAWygvfLYaCkNGTdSt8lY -COB5VgP2R2/T0G7pyJOzWgArKGvzClcQ/TV7mGTiLoDf81y8d7WShtuDr9Re -ewvg3oSUrYvu0HAkoqrp5G4BPFlRO/uwmoajUHZlxQEBLPv8VJZrDQ3ac5tL -52IEMKMy0vjzPeIPqXHKr88L4OPVOs2Haonfd1hw7qQJ4M/lihtE62iIftS4 -O/e6AI6W/Prt+kPiz+zM/WnlAjjxq2qk5SOi16cSzbPqBPCBwa1irxpoSDia -/bSsRQCr7He4GfKYBkV1gdUvXgpg2/8OOgj8R8POhHWPpz4IYMFnl35fbyL1 -U7lqo+FPAdy1wTrf5gkNbLV+tYPTArheeYnfQAvRA769pk95BHHZIwnd6Kc0 -HJI6d1tXUhALv0+fVX5Og+y2maI0FUHMUDk+XP+ChqUHRi2k9QSxh/Wpr37t -hH+6905kmQviIC3/8bkO4k81vGkmWBDj3i8KRV3kvoraU9+6CuKGsi7PtS9J -fENuGee9BfHRZVPFf1+R9Z/I1a8NFMSRgQuUrr6h4T5jSln5oCDOvLKsCL0l -/cuQ7GvmSUF8+xyvx89eosfrv81+TRTEfCkhamnvaIj5rtf4MUsQlyZ4iuF+ -Uq9iU4uHiwWxMjtf4/cADb+WV+yYqxHEq0TttuR8JP/Pip3RbRLELaVL6p0H -aaA91Kv8ugTxx7QNjpzPNKwus5srGBDESwNrZsu/0lDtZpnGHBHEt4pdh7Z/ -p0HurPglH6Ygbv+4gCv3g4Z7o/oiXXxC+OcNR4cXw+R+qrYs8pQRwusrmppP -/qTh31it6HcNIfx3qCzSYpSGz4yWl2eXCOGDUWo7/40R/xn2y1lhJYSTh5Zd -LPtDg2nB4wSukxCeklP7s/sfDWrZ5550bxLCK3axUrQnCP/VH+6q2SmERZtn -Dn2eJHzrrLtcckAIC9Zty82fpiFQc/3e8pNC2CjOS8SfouHilwcqzZeEcJL2 -4sfzWYTfL840juQIYbNDKo3f2eQ8As1HtcqE8GcUJVzKJf7d/+lgcJ0QPuuR -fiN8luiHXcPLJ0+FsMf5tkvLGCyoyyu9b/xWCFdMR3bM8LAAbd+zpuKbEA74 -Oef/jI8F088WVVlPCGFN8VduqQIsMKhMl/7EEMYuh/3StwmxYIVDx5XLUsJ4 -d5OK1RIRFjRP7PD30hDG/YsTVnFEWXDMICTP2FAYN+WY32wXZ8Eh7/BIFWth -nPTy+v5rkizA7Udl5rkI402BgYX7pVkwVa6YtchHGEfQGthBlgUpop4WrsHC -mH9F2FpVeRZEfKhTjI8i80WppgkFFqhp7NrReU4Y22fvK29XYsGHP/8cDK4K -47joS2LFyixoaDz3O7dYGBs8lvoaq8qC2pMfz2jXCmMn+Uaz7eosCB5fZt3Q -Kox/f9vJWKXJgj3fd68KeSuMNYL73TTmsyA/4239kiFhnPZqVp2hwwLvefGf -+aaFMdPnwcFvC1iwsIF/8C+/CM7cP+H5XJcF1JWEH//kRfC+tuJHlYtYcJ4z -pCe0UASXJL6pydBngaBxXI/ZMhFcHXjK5tQSFqT/3a9xyEEES99v9A01YkH7 -siDL9k0iOKWgSGaLCQvcx1s3WQaK4J/2XjsczVgw15da9ihSBHe/YHguX8qC -b6vPhG46J4K9k99+1lvOgtcq/F0CmSJ41FVOQdWS5KdnsXDnLRF8djnPuJQV -C7ZGP/O4/VAEf57/74igNQtCOvYMXm8TwRLlVhWzNiwYDlo/VjEgguu2O6TR -iAV5Ysl3Xo+J4MkPJ0ymbFkg9HFkt9QsOR/D/8y4HQs+vx533CUlii0kwjL+ -ObDgjo5g8istUfymx2TPuBMLIjvWRXuZieJHXx05k2tZ8ES/zYFpJ4oPlnhu -pl1YcK7UwbhykyiuKJw7NuvGgn1xoYdP7hHF2hmi+wU9WLA8rckr5Kgofn7L -Yrn0ehY4u1cq7ksQxTfzvV6rbmRB+N2YyUvXRHGvsNOaxZtZYB3mb/KsShTb -hP3JsdzCgtWMaGnVZlH87vjqV2t9yP3LDvRd6BHFE+vsx/z8WPCn9WK73LAo -fnGWZ/zANhYcNLto+pAlimcT076d92fBP+qdR7S4GH76YsHzgh2ELyNHD3hp -imGXvh83GnaxYMnLIx88zMRwfb1a1PtAFlRt/DUQ6CCGg9QVXekgwp9pdn3W -FjHcc9ZERzmUBacW/Wr9GSqGkzL7eKz3skAnWd7Z66QYZjmfGfPfx4LdG+j0 -r6liuFe/efjcARbo5VqxEorF8FTmQvrOQRac1ato2VAvhk3ENmt/OEzyybvR -2apLDJ9zEwkViWKB3Z7Qj+irGG5/yt9nGc2CuLq9r3cxxfChBvXQkBgWNJUo -nywVFcc/slYsyTtB1ouJspLUFMfSlu6aPadY8CDuu98Vc3H8VXfHWvF4FmRe -l8Ir1ohjTTqxyvEMC4IURBFjqzhmJ1Kb48+xYGXA2tqRA+I4a+cH++YLRD+8 -qvgmz4pjh5FzJ/gSWcDyu3xWM1cc2z3dIuKURPThLeSHV4vjp9b//UpMYUFH -46Xqz0/FcdnB1YveppL6PvhOM/KDOJ7fE/lMM50FFrVSHsYT4nhVgHBX2FUW -THTblIoLS+Dd8rW2DVks6OZKpUlqSOA/VhsWSeaS/XkGo5ctJeNvn53bkccC -L86DF7HOEliKIx348Dr5P2T3n0l/CVxrbftCtpAFrpFRWxKPSOAt4rEPwm+y -YHPo+qMuSRI4XVfKorOE6NdxoxbTmxLYeAa7G5Wx4GirQSVqIP/rxvOllrNg -e7xX5eE3EvhTh/dWupIFdOEDm55fEni/TsCOgGpy/kub+nx5JXHZgJtyZw0L -MszX0uIqktgp7/f5lbUsaDnaojliKomjz+nVldex4PFHje7fayWxXTG3QusR -qffDXy5o7JDEk8fPH7jayIJCmzdvo6MlsXwij6jMfyzY8VhgJd8VSaz58uGJ -S81EzwS+2tXdlsT3t2j2ibeS+uMsO57dIonfvWpQSX7Ggk7l1ZFlHyVx3zwr -T/k2FvBGPftvhCmJC177xeV2kHicFMc3SUvhLYIitXrdZH6FWt7EYik89ch2 -6v4rcl7xyACwk8JheYsdnHrI/rXRfQ1bpbBJIV/1QC8LpOQ88kePSOGuGnN8 -8D3hvzXLxzWVjG9HHIkPJJ/SQVWD5VI4M6Hr1+1PhO/NSfbFz6RwrUm5ktsX -FviOHWi9/lUKj8g/uzj+jQWgu/Jz94wU3pps5pb1g5xHXlcnW1wan/TQC7L/ -SfiDFm/eoyKNsRH/0MQoCx5+Nhxat0gab6bcO4v+sCDadtpw43JpLOdyX99n -nPD7s0DKIXtpbBElISQ3RfIRXxtWvV4aL/b3CutmsuDitRV6YgEE72jclcxi -Qapw6YK4fdJY2zWdvZ7Lghwt2Q7FE9J4+/oAS5U5FjhYxp19kSiNKyVeLRri -YcPWA3KQnSONH8Y299bws8GJzfp6sUwa31hs53ZWiA2dNZcDsh9K4xfil6/6 -ibKh3CGs/MVzafxkQLVpuQQb/hZst1B+J4175c++lZdmw/fZtKgLw9JYxrT4 -M1OWDf/WZo6oUNI4pf/cnw8KbPg1L4i3S1AGfzXYK/ZsHhtm1c/aFSrK4ASq -2+6+Khve6ggvydGVwfdUdhaVaLAhKaN0Ve1yGbzjvZxV3nw2oPyPjGlHGRxs -LyabtYANau++sL28ZLBgedWKTD02BOe9ejC4Rwb3qxQ/ztFnwz3h+tbEKBnM -O/imstCQDfh85f3tF2TwCXX/eXdMyHzrT6re2TL43cH7Ik3mbCjkliYfvS2D -VxfFX+5dzoZSvUe3mxpksIRn0+N/K9hguFRV0qxLBj9qrbguZcOGHEXXLe2D -Mhh1vnY0x2xIOx5gnDQugwcyBZt87diw56+K9TE+Wbz9/l7NC45saOuZ1b+i -IIsNZI5HPFrLhvuHI8t79WSxriy3bcKVDfLUr0OOVrK467GglbEHG04GfLP+ -5iqLbzGlXu3fQPZr1Gmq2C6LR/77VvBgMxu0PTubiyNk8bLbpY/5fNjwU+SU -UPcZWfwNDa/YtJUNKjrHvfWyZHFlUpxuuT8btOTaz90pl8VLO1uuCu9iw4WX -PoGh/8liC8mtBSF72LAzxqhrS48slpHa6fU6hA0l8bHXjo7I4qD5Pl0onA3X -HCcedHFlcbL+UtWaA2z4uqVC0FtGDks1bdyw5DAbLu7NjlLWlcNLd6cl3o5i -wxlGAq/MSjn8vNfuo0kMyffbkHzsIYcfXTD2azjJhve+ER6lu+Uwv1Whlns8 -G0JUfNVdj8nhVwV7V/84y4bhxRny+pfl8Pz139+fvsiGhyOnXexL5HBu5fDc -4iQ2vKFqPuU0yuHX0sOdby+T+AvmTZj2yOFqmaGt59PZYPvCo1poVA4HzR5r -s80i540ZWqfBK491D3814r3GhqJNKSJHlOUxZfav+MV1NqRAvLacqTzOltBZ -l1nEBqmNtcOTa+Sxyvwi+/BbbPDea1qlEiCP15q43XQpZ8MPtZ3vzh+VxzdW -Viab3GEDX/XBDpQqj4U95XTU77EhjJU3i2/LY8mrF0/K1LGh8djlsUst8jgn -41erRAMbNnW90Fj0SR5rP3unJPsfuU+P2UUytDz+tPXlVY0WNtyNPlfmLKuA -X+9eHGz+nA2S4t3uvUsU8PoFWnc8Otiw3b2l876TAtbv/HA58iUbBps2jf3a -oYB/nzu29GYPG/Yd+Rdz5IQCPvNSHj68Y8P+vQL+W7MVsJTZU2/1j2xg2aaf -zqsl/+94ZLjnCxs8sptHrN8o4GfPLXbXD7HBKj802+qfAu7dfd1A6RcbnjLb -HmRJKOKtK89WHP/DBt8Krf1+Boq4XqN63p8JNiyM3cl/Zq0i7pA2yA2i2HBY -nvNMIUgRv1d2DfrNYYPnhfj5MucUsdqdp5UxDA58UctJOFqsiP3v3ruhKMCB -1T716Z5PFbEO382oRyIcsE1WGsr5oYh3tpYGhkpywNIsY5mvkBL+57SnSFeO -AzKcZp/URUp49R2d0N9KHGg/9hHbOyvhLP++aVDjgIniv98Hw5Tw2uWrYvPm -c0DIiopbkKyEe3J/ulzQ5UDL73k23neVcEfKhoxTBhwYqvodqdCrhMMzJm6c -NuGA/seBUj+2Ek6uc69NX8aBsTdn95lpzsPVeUpK96w4sM9sQ3y2/Txc17FS -8jPiwJlcnpbMkHlYRJ1nWNmBAzdyApaZXp6HNRI1/gY4c4B/jQZvUN08XBTU -F1m3jgOXk4qP236eh/14571S38SB55Lmus3CyvjwnysbUn04MF09WvzHVBm/ -mh3arOjPgQwP4/52X2V8Uuju8rLdHPD/Nde+7awyfn/luad7KAcmlmQ0lFcr -49RKV1G+AxxYYK+p8+ijMk74MND6PJIDvSa37iSLquCc6Lrf+TEc0DCy2mBi -qYItCpl/zsdxIHfGYEVhoAr27r5tdfo8B6zcy3v+pKvgwh3zHVOTOOD89sKg -8lMVvGmraEJNGgfuaKzabkCp4MfhDedGsjkQn4ZL9Rer4oKKMPKW5IBvS8ke -TT9VXLhif31yCQeMTmrmyaSoYlGlWEG+Sg6cVFtZJdKqikeyhSwS73Ggqt9g -hzRHFTNbg4YMHnHI++P7iJGZGs4d967+2sSBE/XVP8JD1PCgg5Vt9XMOuF/b -cqS/UA1LhUWszuzmgKRww/KYT2pYQXIgOLOXA5f05q/drqKO793VP3T3Iweo -WZVdyV7quCQrVHf4O6kHX+N38zLU8ZMt0e4WYxyI7HHMEe5Vxw3/Lj0pnORA -xx/OhjAlDVzn0hZoyOHA48LB3et9NHC34Cedt7xceOXRMfsiTwMnV5SP54hy -QY+5Y+G37xr4wmnBN3GyXFgh+/p55RJNjPG+vosqXDC2E3m9KlITR8ybVr2v -zYXSVbHLi5s0sdmIcgevAReqNu84GyOkhfvnv9Q+bM6FSd1IT11jLRz74FKo -hDUX2EWF7QNeWlhl5RG+TnsuGC2rY92K1cJyPTd97rtxwbVZ/GZ2uRZ240mY -fraZCxcC/oU+fqeFlfYdDhf058KxvGdvtAXn46/FVkcigrkgIai0tW/pfFzY -LzIgcZCcL/VB1tiu+fhdWdip/hgumHBiHA5lzMeCvsdC+89y4SbrekDsi/lY -/KPzf1KXuRAWtWHDotn5OGokpzUmhwsRwoMCJ5dqY5+Nb4Z1irmgIPpN+lqY -NlaKcmgQquYCT7LVt5xibaxxZJDfoIELheV4MuOrNg7YsfJeyjMurG+1nb6t -pYNPyhlNrHzDhZ/uksocfx18UeezlskgFwzdXq4rKdTBRv5nv+4f5YJFX3RO -74gO1sp/pclLc0FyIiz4rskCzGdgJjXCPwOid0zZe44twLu0pW30ZGdA5WrZ -u0UvFuAvp7TSWzRn4PVQ6E4DlYVYWl9wb6vhDPxyKwu9Hb4QR8KRFGPrGbgx -1vf719OF+FOX0ToRlxmQnjczYqaji1vVJhO9fch4s5BvT7wu3ov0evRCZmDT -YEfw4p+6eBP/+tCY6BkIPL2rOWODHnbUsAn3T5gBz0+CKy890cOxjMDRj7kz -oMHpfJqwYhFe0VsuyKiagYHbvN3zaxdh4QUh2m+aZuDcDSQ2sWIxFqN2SO9+ -OwOnkuxY91sXY+mPx1xbf87AS9U4zdU++vh2Z7qdwNwMiNgd25BA6+NPKfWl -lgqz4JW9zKOiwAC3L2n4dnjJLARqbeCf3LwExzQ9u9BrPwv/Lj9Z+EXZEGe4 -bRCN2jYLA6Pw0m7MEFf+OHEk5ugsrFt5eC1+aYTvBX9OFMuYhf++MSLCnhtj -9U3ePBvvkfVuH9GiQk3wBWkh20s9s5B9pWvDBh5TfOD28joWcxZS3o+l1Rab -4hMy7mM/Vecgzj/Z3Gy7Gbb7UgH/2c1BYaJrZL2ROY4xPhTBCp+DYt059ziV -pfhh2xpXk7w56C6d33B+8TLs8+bUMePXc3B6X3xFv85yzPj/77//A+4gh5I= - +1:eJwU13c8Vt8fAHArSmSUklJJsjIiIuUjCtkrpCQqiexVSkYKJRGVURpGpIzs +eexk7733nvc+T/Utfuf3l9f75T73nvs55zMun5WjwU06Ghqancw0NP//u5gp +YV3zTxu4fEZdSq4RiFKxv+XwpjnQS68daLYkEP1p89cWvtYQ6XmGYcSKQJ/N +r+gO0DqAmlrg8ZXrBHpZvzFEX+EC+qy7MjdvEEjB5AOj8yMPGPlY83SHNYF6 +q/Zmy5z3gvC6LdX7bxHI9c+vv/pMD2GM98RNERsCBbnf/m9swhcuJlMcT94m +0IPWj/3qNf7wC6xmVWwJNLuXmtL3OQA2lXk6de0IdOKqonNU8BNI8LCWvXyH +QLmn9U772wWBFZ8Ku7U9gewHt+6O0n4K75Tsbzo5EChwXW1bn0QIGNHdkfNy +JFBI5cohdc5QyDkd9eyRE4EWjszdGiNeQInvYcsQZ/x8eOHWMR8GavTcRZEu +BDo1WdKtPRgOZ7OsY9+6Emio/rfVYNNLyP04Qp/gRqDLwSX7HpVFADmpSPni +TqA9Xo+Z4Hsk3OU64pbpgdfT1CzKkfAKQi0P+OR5Eqjq4f7Q369eA2mTwl1y +l0CORovSvwLfAKVNQrniHoEMZ6sPs3pFQWY+y78aLwKlJItek7sTDb8HQzTq +7xPoU03i6r2rMTD9Y1m0+QGBtPRLBlr1YoG12OZTmzeBDgv9O6qk8hbkYg6m +dz4k0Nrf1c4qmXcQknzcsMcHx9tIZNlCKA7yVL6/6PMlEPsz2bsc+95D4ZPU +mwN+BDpoY1S0wPgBaPoPdA36E8jsNfOvy74foMt/y9jQIwJ9R1vdu35/gHc7 +9J8OBxBIEvHIXHH9CO6d883Djwn09wqrwuLCR9hhVJA1/IRANTppwcHWn6A5 +7LXscCCBtp5s4D8+8gkuO5tdGgoikG2iLMvEpXh4wty1fzCYQCvcpec/tceD +xFKHX/9TvL4N6XY77QRQcOAN7n1GIJtM2zylHwlQ0usk3R1CoB5vGfLQ2UTw +LX3m1/GcQGrvbV6wFCXCfb6jbq2hBFI+2xtEL5ME71LWtze9IFCsr/nElvQk +cOiLv1AXRiBjm4aEncKfIUlxTKwmnEBMv/81HIv/DAcijAvKX+L94a+30OdN +hoXZhIXiCALx1LFe83uTDAnd9rV5kQTyqfzQUsyRArcjdLS/vyLQgR6LbPqQ +FFjmHr3/9TWBTlcL7jBm/AIM54uNkt4QaONU10iW7xfI+OPa8z6KQNLDFyR4 +//sCj09GM0VHE2hO0+pvuHsqiJ0oHAuPwfFko9HkXEmFJk8r26exBHqWwXAg +zvYrsFN53vu/JZBfisFdmcmvMClg6+f1jkCNdxqv9Fh8A50dHRwucQRqsLrU +9KTvG/Rf79O7/R5fv9DfrHQxDYZj/ype+0CgJEuFG4wtaXD5b96A8UcC3dtp +EdqtkQ6TKYEi2p8IdENTQj+7Oh1UKiaEVOIJdCGpzkTnUAZ4Wan2yCUQyDP5 +jHGteQZ8K+WTF0/E8Ve3FlCPzQAj0TlN/iQcj7jCmsaeDGgR4+Dg/kygV5Cp +cGl3JgwFMQazJON8VCp/PGeYCVwactk0KQSSkbJK8gvPBKVOzggC++4RlvcH +mjNhdo3m6MwXAjEnnnQuZ/kOQr129v2pBCovMz9gq/EdmmSKbjd9JdA3ul+f +uYO+w9MzF/eVf8P57O7L1lj9HV5kxPlnpRGo+ZOzcSB9FqTP/HmfmI7zM0L1 +odrZLFAbrHd9k0EggRavIFafLDgl7bIRlEmgM1ZPPXqLs8ALtJW8vhMorXX1 +QuqfLCB2FcnbZRHohZA4wyO5bDj7mHv+cjaBmpaLk655ZIOoZLmRVg7eT6n9 +0ueys6HuMZvn6VwChXvXfRFby4ZrrVcMjuUR6Hm/KhuvZA4wKNBO78snkNgA +uxWnQw7s7DCU2V5AoPgXyQmsX3PgwLsvZ/5g/wgM7dkxlwORgWY0s4UEWu1R +2eQSyoU+7zzv7iICifJo8PBb54KO/a7c6mJcf2/wi8om5MJn9cqUrBJ8nowM +pHXHcuHPVq5LH0txfjCbnXA4lAdhJZeqQhGB7giWSkRczYMW/5H5+2U4fm10 +gqVv84A3itpsU47rfc7Xfct9eSBuuuB0sYJAQptKbEf35oMwbG8+W0mgVMvz +9NdN8qGaeD8nVkWg+p1KvxNf5UO8Jlm5t5pAsq15a0vt+eCjcfHylhoCneyX +Xj3DWQCKgtsyV7DbKAqUl3oFkHPxUnX/D7w+J1P6pdACCA58HlVTS6DX3Jw8 +uo0FIJa6IJL5k0DR59cUcrcXwnWi+EFsHYFMOv1t+TUK4di4SujjegLtENX5 +/DqoEAoUaywcG3B/Oj68zvajEL4dCFo1bSQQYVqu/2JLESgsNKgoNxGIL8a3 +Yte5ItCz6TYWbSbQB7cUtQ/+RcCWOiuyq4VAesu1Y8fLi+Ct4Pmyv9hPou+8 ++rlZBJczRPZMthKI7elhy1uKxbBxr0+isQ2fl2v31LZ7F0Pb/kjmnHYCcZ+n +0cgpKgbnN68/v+0gkPOMqu3NP8WQZ3CIKaAT73fAYMo++RJYPuIobNeF32/A +iLnHswReGZTtMOjGvz+j+DwmF///hV6eXA+BVL1FT1wnS2CG8Qr/wV4Cjf1N +o5E6UQpnTA8YbukjUN7nywSjaylcjGlTncdeXKtiH8ssBWfzrI2Wfpy/Qw9N +KldKwTT3j1fuAIFiSN66LxIIYsTHimIH8fnVOWkb5YCgoPNTue8QPt8h1+RD +viGQBfeQm8MEEh6UkH+ygKDNP3y/xgjOr7/vZCq5yoDtjISL+CiBpHaF2qjK +lEF15OPnnGO4Phw4kdtgVAbFZ+odKNgdGlcOGruVwQN32d194wSiYW9PGIso +g7tM/x6VTBBoUuSmmksW/r2eUf6HSQIpvh9m2tJeBqeVnLMeTREoOI9tOmat +DPSNg9ytp3G93lI5Kc1ZDge+Nm6oz+D1W/5gaDleDl6LbrqiswTauzh3zlG/ +HOBq5i3WOQKZ7/ibxOFcDkrDOWrL2HVuP0Xzwsqhbi57uWWeQJp7DndYZJTD +7OsRi+8LBMo/0flhe0s5aEfbRkUsEuiXwfeXhcvl4H0+INptCe+XUvCXO2wV +cDTs6vWLyzheu0Rm+SQqYAuHCEVmhUBXxG/q9ulUQDHtHoPdqzheJ7YPvXKo +gMfKFz0p2Le4F18ZhVZAtPEu66413C84Bjx3p+Hr7R8dyF3H649PCehvrIDK +S60fXhEEevpasCR+Ef8+5tiiG4nP86bgYUfWSnhqWklvRMH1/rR39hmxSqi4 +VTkhRSWQx9pvNzbtStivZRbG8YtAIxzONybuVELaiRzGFWyRjpxHxSGVsI2G +Vr3pN87H4tj2N18rQQpsjb7+IdC+aIqRR0MltErxHnv6H77eN2ar6UIloIbz +zbf+Esir/fLyaZYq2J/Npnj+H4E2FdmYBY5VwV6VpLuHNwikXhB8iV2rChKC +T/hsYt/x/zC0YVcFGjqT+gObuB4fFY5ZeVYFkqzjK/k0JHp1/3fIZGoVbPxn +cuUVLYmc46fzBuurwG+rQ6QzHYkimOv29c5XgVSfTrQ2PYkSbTwLurdXg1w7 +v50wA4lGy2rCe0WrgY5zN/OWLSSStXqROKRZDQNOOh4j2Hunk8kpu2roe0ym +FzGSKFlm3n/tWTUIJEnnvWYi0QVfcR3ar9VgNC0Z4ryVRKLnNU13NlTDg71c +ElrbSLRVl+eT0EI1HGhn+nCUmURfs92OnWWpgb23JIdptpMou1f615VjNTCy +kLPQh63scJzxgVYNTCqg2mwWEu13VDOJu1MDF1dcXENZSbTvqN5CZUgN/Heb +unBrB4kuiRytWfhaA/MNLjJn2Ui0YZEwyd1YA87027V52EmU9ytRU32xBsYL +J6XXsXe7Mv72Yv0Bx+8IzdVzkGgx9uNShtgPEDf45ZjASaL+54Zic9o/oMDJ +q/rBThIdzPyVc9ThB7hFtc8Z7SKRcbF9sHXoD7h8RWjkGBeJJLJfJKek/YBD +B98lMuzG+zGvsGul6Qe0bjNWGMDezaDXKL/8A2LZPT9m7SERy1JKxxO2WuCn +8Pc85SbRwxlB0W6JWqBV9R223EsiGb/kVhG9WrA0Tc+T4yGR1Svmn35OtVBh +2HGNbR+JBPXFOAfCamHmGGf/JLau5Mo3+cxa0E98drR4P4mYN6TexbTWQob2 +dZWXvHh/OzpHNlZrITOg6LjNARL9Olhwz5rzJ4Tfz109c5BE8dElNq1SP4H9 +uMejnYdI1KhVlQaGP2HVbf/0DPbHyDStTNefsDZbt7+Uj0Qr+66qHI38CQn0 +8UciDuP4D2dHxGX/hGNMNRu3+PF5EX2lyNOJ78dyMfX0ERKdfDd6Lpr8CXn/ +nEQ4BEj0m9/7877ddTAWc+rBJDbPpsatj7J1YOrR9qHgKInakPhjEZM6eE0x +jXouSKJP6ix0eZ51sM10ycpSiEQ+jT+GVKPqoPDrdxoZYRIZdJzf35dfB/69 +1c5bRUjELmNX5NRbB5Jv1XL7sd/s5S1h/lMHzMEmTWmieH//KR1O5qkHtm1c +hX7HcPwziufVFerB5ur7e0ZiJDIx8OBZvFwPJz5ysQqKkwhMjNIjH9RDb81r +t9/Y+Y/PpMK7erj66mxGvQSJDlO52ZZK6uFfxomyd5Ik4uNu6n8/VA9Nr0IT +HI+TiD/lHOfFzXrwibY3PytFovXiG1mshxpAan55jlOaRBWFu8t+KjWAcqS0 +9gS2j7mKfLBlA7z0Mg7IOUGikqz2g1r+DfD3skfYExkSOR7KdOOMb4D4zgxn +E1kS3TWrlhuobADey/xCQidx/tv/uZMy0QArSvNZv7ANC05xem1phM4cAa6f +ciRKX3MS1jnaCKLVy5rR8iTi4g/KElBrhOPG1qa3T+F8TrHLpLFphFnJpFPy +CiTaKc90ZDioEax+1a9tPU0iz35VlvKURvA7Rvj2YJ9Z3m2XVNcIhccUJj+f +IdFroRtnX8w3wlGFkoOeiiRqDt8Xdp+lCYIcX0uqAonYnomY2ok1QUvt2B4u +JRIZ1T2MuarTBK6HSzvHsfOuMJpedGwCZrlztt/P4vUkpofrhjXBlfiwTl9l +EpmZ31bXzmwC5ZHSPboqeH9fHfbWaWuCaM05Sd5zJArMqZM0XG+CCj5xvnns +/Q/0b1ze1QyXfBJn8s+TqH0jifuWTDNE3rALfKKKr08t0vEwboZ3WTH/DNXw +/qj6MgV7NsPwMR1NPnUSTS9OqryPaoZOjw9OS9gGXEMMBQXNML77q33RBRKR +wWaaXX3NYH33mXKQBomEnbW5qf81g92M6bKRJonUE4xyn+9ogb4IcTc+LRId +dc1I4DvYAp/CjrYuYtcXZ5nkSbRAd4cZY6E2/v/5nmYdpRaQPzW584kOiQb/ +vmGd0WuBzofDv/V1cX7R2nM8smyBu2rX83n1cH7HtvYfdGkBRp6nurPYGypK +9qX+LXDnuj3K1ifR8XfSNVcjWuCfy9GtvgYk6vE8Ok2T0IK/55uENQ1JNNca +0ZKQ3QLHkh8e2W1EIv0uir9GdQsEzer+GsE+OFi3sdrZAjOilxNTL5Jo3O7Z +udipFtBXLBD1MCaRg0y2kSq1BaJb/Z8pmZDoNE+5xDpTK/j4tFQxm5JIXki8 +6yN3K8TVFXZ3YB+O9VQ3EG6Fy9xmVXGXSHRxYG8gw6lWMM2veWpjRiLxR+Ev +8zVagXaIW1TqMl6f0WU7h8utkJFsk/gfds45guPonVa4v6/pd9UVEtG69T4Z +ftAKUvyWQqHmJNKRCqqLed4KwxHyx02ukuj5P+9Bk7hWCBZx3HXIgkQzfnJl +u9NbwSZkb9sMtmiMjGs3aoUXqnq2mddI9ER3nRLd0gqvmkQG71ni9+9b1rw6 +2grmAWUiylYk0vuQ4nJkrRUOpAsZMl8nUcLJ93YLdG3A5e9l3Ibtf0P3ZO7O +NuDb03gi5gaJbvDId/kdaYNPLieXLG+SqPZ+v7quTBvYP2rxF7YmkVpfzosD +qm3AyJe+toI9m6uWumzcBiksc2fyb5FouZz9bcWtNvAj39zwsSGRdH+Y1Zu7 +bTDr3GyteptE2zjVN+2D28CL9vM5VlsSnU3MdVGNaQM9DpmNduwGevOSQ6lt +sPr7RUSMHb6+oWj4b1Eb3NloZLC8Q6L7DYZ9fQ1t4KG2xUDQnkQB9EnfCgfb +YGlV8/4idvp7abO3S22whS7fN8uBRBOb3iM+m23QYW1hdc8Rr+8749mb7O1w +6o/JIXAikcdd3QdafO2g/ySvkMGZRFJKfS9lpNrhJIo4XoddJiL8+JBKO/xQ +pnv8wgXvX3CpIatRO8S/584xciXRfwP7N/+70Q4OOgvle91wvvXWBC64t8Ns +1svUIeyvlrA09KQdPvHxucS743x+uk26/U07lHZ/5bLxING7mGTjn8nt0EOv ++fqYJ4not364VF7QDh6l7MQKttd919NFde0gy7pTIucu/n1T0mZufzvsmrZW +u3cP91/W0vjshXagivCdOeOF+6HrGeHsf+1Q8dWYnfY+iXY5p4Tl7OgAjSP7 +y6uw7yc+6cs/2AEeZ5/oBj3A9Xn8ElOpZAd4vk0p0vTG9UsieU/12Q6YLo7Z +wvaQRJaIsr3JoAOu7XUQa8N2+ls30XO9Awx2yUm/8iGRlt+XT5NuHeDDwLrH +1Bf3o337VInHHRApTNvL44fPZ92nZoY3HeD3XejeIHZ52Q/Yk9wBARVvqO/9 +SeR9nf2NaEEH1FtbGVk9IpGdBn3X2boOIGPevjgSgM+bkuC/S/0dcFLHLGUK +e16ZntVtAa/PPP1j8mNc7/wPMIb96wCliPS7tk9wvb1BM/ttRyfkpDqIHwvE +z38omdt4EFufpnIRmxor67As2Qm6fHdl04NINFIYw7FTuRPSEmeDnILxvMAy ++UHOsBPGjG0Kjz/F54P6bv+1G50g+Impfg07eqfO42D3Tng00VeY9YxED8Qf +9mc/6YRnNmSwWwiuhxfyDo696QQRG1s5meckSoryN+BI6QSBndo1JPbVJ7fd +lAs7gelJhnRuKIl608nH7vWdUN742dfjBa7H0xmBXwY64cT8+W+yYTi/pAS8 +Rhc7wavxXQEF+3fjgDnPZieUXqxIzA3H9UvISvoiexecMq5x9nhJItsp+C+c +rwvEXxbzykaQiHWMJrdFqguaSvJSSOx4YckbHOe6wNO3jisnEj+f5hKj0cUu +oHdmsnJ7RaK0EcZ3UdZdwLbXL1T6NYmue1YLDXt2gSxxIXYN+2XyoS+CwV0w +au8WlPmGRE+fJ/C5xHTB2UlOY6coEom5D74oTe2C7tSTDBLRJCLGTUiWki4Y +oSNfLmK/jfxgYN7UBU/5zOm+xpDI1fNccvpwFziI+hvYxuLzn9VCoV/tguen +PR4JvSXRnoQ2RTO6bjCz1Hw1hZ0/2O37fWc3MLzZGZTwDp9/YYcSFoFumG4Y +uWwVR6IXT/hJG9lu4J6uYj/0nkTXjj0R+qHWDfyoNWkQOzXwiKngpW5w49l7 +IPYDiWJOPw8Itu2Ge7lfPUw/4nn+qG7a4n38e5W4DK5PJMo1/t1p+LwbOq5t +1rdh8+zZ97corhvqE0ZrX8Tj8zitwnc0oxvooow/ayWQ6IAfverL8m74mOt4 +a1sirl9ts7Y07d1w3FFxWw32C9rAMKeJbvjG3xHin4TPu4Nd3hjZDRaiymuK +n0nElC44YszUAwLN0fL/YQ+Ea21v5O4Bfu0Fq7xkElnw2smfF+mBtA4NB9cU +HK+wXXZIoQcqntVclvhCoslrfR8UtHsgOMRJdB6bF3T6C672gMrYpcGkVDw/ +ctLtO+XUAwzPI5ytvuL8/S/wWrFfDygGiM/wfsPzkIHLV6WIHlBNUzjbi/3m +i+FmTUIPaM3VP4hMw99njaWXdHN7wHPrSoxuOu7PSLW490cPiLflxzJn4Pmq +9KGgdW8PPN6Q9anGvgx/Yom5Hvhz+v5530wS1a1p8Tz+2wN3pF4vnfpOos5y +5vg9O3rht0eUF4l9v/mH7NeDvXAg6uVsehY+f3e5u5SP94LI7lcKttm4/hqG ++/Ur98LIrQynIzkkWpD4Ie9h1Aty/xFBQ9jpe3U3Oa17wVnCNSAql0THLpa2 +ZXr2QsAlhesGeXgetPySbRDcC7eqzAVY8vF+/0pOJGN6ITBzrq4aO55VLynm +K16P0ZqhTwGJglpk8s6W9sJgT0CZXCGJPnxZ6Zlr7gV98+/sa9g3lPawvB7F +///99FxqEd5fZyV9lfVesMs5cOVGMYn+mdKnrDH0wb0IbxPeEhx/LerOhN19 +oBSUJ9uF/XEw66WJUB9I+A78Di0lkXtviwDrqT44cOXvBzWE65f6VGOVZh/U +rR09RlNGIm3HkGcPzfvAgPNObD42tfGyxSnHPjB62L/kVE6i4UOLF3759sHG +QsBR4QoS2V/r1cx/2QdWO+4qj2JLlBfc9EroA93AKuXoShIpZgtGKeb2wXni +nqB+FYkYpovHGWr74OTE55Wt1fh7RmXnhcbePrgzaB5Xhs27WlX7Zr4P3lql +St6t+f9+3Ll+418flI6//yzxg0R0zAl7pdn6Ia9eg34aewvBuEDP1w/c3kUq +cbX4+mOS/V1S/fBUm/b2xZ8kcmEumk491w9Nz0RdWepIdEpAhfORcT/kP7hg +VYk9p3vj8hWbfmgzs5X1qsfxiy2sPOnVD89N3y1LNuB6azKmyRXSD5nvVp9P +Y9Oy3yWId/1wTsODI64Rz2fh3KVd6f3g6X7Ky6gJe+JaSmF5Pxw8pl3L3Izz +W28p90N7P2Q4lfxXhs1vfnU6aLIf2pVidnm24Hxr0lFwpfaDUegap1gr7vef +zbMstg1A1tlOyhi27zFhPZ19AxCnoF8W1Yb3f1CXE8QGIMbI3VGnHffr+05/ +jsMA3L2sx8DQQSIRJpFtgvoDwLF79WEBNg3aBweuD8B2Zethh04c38OTb/e4 +D4BjZKnAkS7sZQH+nYEDUF241aAXW/PIwzb26AG4Z2p4I7Qbf69sPk9lTx2A +71u/XVHpwfPNJpnGWTIAelePKPzCPjFuPLi7eQDYJn9sfu0l0bNk/ZO8owMA +B5O+WPaRqCo0sERgfQCMHjcq7O7H+cQV4yS5ZRASn2ll1WHf3hDRP7NnEDSi +j3P4DJDo24UBCy3hQRDmeHZRehB/T8jrvTNXGAQ77Vu+09g/DYSZnbUHYVtc +R3jsEO73psyfn1gMgoT2aLDuMD4PBq/d4pwHgTMm1oZ+BM+zT5xc8x8NwkQ5 +h3gettnD0wkdrwbBcV2/z3aURJlb4pjWPw9Cp6mt/YExXE+F5eN2Fg7CnZ23 +p1uxH5z8biPbMAgMilfUH4/jfK/4duvy0CBEzumHyU3gfvG2JdZ/ZRC285ui +eewdg2jLV7ohGJh/0Bk3ietl/6Gk7l1DcEexqU1/Cs+TJ6K9twgOgRe7WR7D +NJ6HqptCZOSHIFpH/FEednz6rY5bmkPA02sqaztDovcmzBffmg/Bh5fTLftn +SaRw05yt3XEI3urMGDRjv6lkYmDxHwJqn02x3xyJIj9mSKtFDgEnjSfriXkS +xTpvxgUkDYGV9yHVKWzhuVjVqvwhIJldraMWSPR4i7goY/0QBJs9cNBYJJEx +3VVtjcEh0OXSuPoX2+Z6x7ew5SFgHJmVSVsi0eqyvHYv7TB4Gt8mLZZJ9CPr +5LEju4ZBh7nrLccKiUI2PTSdjw7D85Azxyqxs20+ppbJ4etvfIt3WyXRq5/X +tDk1h6FuhzT90TUSDZ21OG5tPgwSTAMa3diXZdVMix2HYaI4xytoHddr/cqK +Xf7DYPyu8aU8gfPx0UNnx8hhyN9+PGIOe4HmyM2GpGFQubl4P5bE8VW1iBMt +GAYhWnZtLQqOF9cA7/P6YeCXTGL8h/2fm+rEyuAw1MuVJH+jkqg4S2PNeGUY +vlhaSV/9RaLtWRoJFrQjkDH+KWnHbxKFZc2uRzKPQAD5jA5h2yyY2tTvHIH5 +ShE1xz94/uBYpqXnHYFgrxC3g//h/P9LV65wdASKT5U+bcZ+lzSf6C4xAod4 +G4N9/pLIT5ImM0NuBMbla5wl/pGof+DN2MLZEdB+m6s8jO3MyawgojkCaXqp +f0M3SPT3clqhjdEIDBtlvlfcxPXZZsAy2XwEspM6RZewGZgXJGetR0BAQeDj +OxoKEpOTERJ1GgEpum+bWrQUVM3Kru5wbwSixu6p/cU2qesI++4/AvZlUXdT +6SgoorWf7tezEXjnuTvCjJ6CalK94xRfjQDP8ObrbQwU9HzLzhtP4kaA/GEZ +kI9tmEEYNn8eAfn/1C/f2kJB7J/uO+zNHIESxYp9uxkpKIikyb5ROAJuun3V +Vdg2c4NHMitHgGvq3SVXJgpinbQr32gYgYqcvd18WymIx5HhqXYXjo+dmWIL +9h9ZWp93wyOQl3rnxcNtFOTLXvxhaWYEtnGb1x1jpqDHROiy0hp+nrbcch82 +0HbYRf43ApvDzBtB2ynI1GuSa5ZhFE5ajFJkWShorJZ3SXHHKKwY1vZOYN+5 +30282jMKEyoNSS9Z8e9V7UWWDo1C9Nff5ko7KEiJ/tQLNZFRaGA031zEFv8e +xf9JehQe1tA9i2WjoOi7E9P/To9CiwmV5gI7Be34dHfATHUU7I6oWVKwBT9k +0BbojoJv6EZqPAcF2TLPmHBfGoXhVeFRPU4K+hHnNXzXahSefu6k2cDWOVsV +1Wc3Cvq0O7an7qQgr7+HAs64j0KhxvCmyS4KkqNd/Pjx4Si8qb84zMBFQb+S +AtYYg0ZBqMY7JRM7w+6ch334KPy6e/3q1d0UxEsEiXXGjMLxPTs3mPdQ0Nft +6dyKCaOw2hEVlIedl7BTLvnbKAQO02xc56Yg756dITvzRkHtqslV9r0UJDXN +wuVbNgrsLskpxdgn5K60L/4chV45mhEbHgraY2bx40r7KBTX29Jy7aOgFDq3 +1YaBUZA7TbCWY29j+6WvOIXj+zp5i/1+Cup9dGE2Y3kUxKciZrh5KUjieU3e +kd+joCFWkVuF3fSwsSSabgw07cDJ6QCOd0fxf2wsYzD4eg/X/oMUdEVy3TmQ +awwyko0Tf2A/utp8iObgGAyEbOVzPYTPp37GVi+hMfCVkA86wIfXc4QUJo+P +gZcn0fcTe5HnX4Czwhg0KKvudT+Mz/d7QZ7lc2MQ7nhK5RA/BXWpdsza64yB +QseAaT326QYrYtFkDFKV5c08jlCQ2y7pU46WY5AbfFmNT4CCEo4lFq3ajoGA +k+6hBmwfjb333N3GIKHo0KTHUQp61rDs8sd7DAiR/ld8gvh8nApO8Q0cg7i7 +T6UasLVUVHm3ho/BhtmpIg8hHP/ywKawmDH44kuR4BOmoJnctBKehDE4E1MX +Vo+9R3f/fOK3MRjWrhh0F6GgiqHjJlJ5Y9B3Znb3IVGcPxN6dGVlYxDFrHm6 +DruIsX9Bp24MsnTWtd2OUVDiHqk9w+1j8DhuUfOAGAV95Mj3cxocg/Jn52Vr +seX2Nh+jn8b3i2dkdRGnoO8PernfrIyBpOPpln0S+P/Z8qrH/ozBvOOaTzX2 +X0uDnAr6cWgXPLHfUZKCtA2eWJuxjsMIO2si93Ec//tyZuu7x8HyUxBPBXbR +Rn3Y80PjcFfn+wM7KQr6djSBWVhkHNL8X9XvkqYg2ttHaqulxwGlnGEqxR6+ +mfHz+plxEBXKlbh1AteLmVQ2erVx2HuN+Ty7DK4PE14x8XrjsJR2Xq0Ae+OB +n+15s3FgsXOVtZKloJv/8fvOXB8Hqfk4zu0nKehuV01/iP04yPm292dhh6Y3 +eUt5jkOP6/6XV+QoSNfwg3Wv7zi0sj2W2SJPQa8LPrz2ezoORlHcNd+we7bI +7BCNHIddWmMqxqcoKPVJRWPnu3HgtllM28B+lZvW6fd5HAyPnGf6rIDPh4LF +UYnMcXiURWjpnqagymn5ssHCceg/x+RLxc7KT4h/XjUOIvRBH96fwfWiZ0ur +YtM4mPP4p6kp4vyOrVRf7R6HhS80X5axuZ+c2544Og5f2ndEvAEK6ji3zG02 +Pw6/vufdBiUKKvsu4sJOjoPTNUbxaWy6bvM9tRvjMLO0ZST0LAVJTy5v9ds6 +AUUO5T6yyhSUe0ZdTYFzAtIXVFiHsCPtm9oo+yZg2Dkq6LEKBTWKz6VmCUzA +Fvq61WPnKOiCDX27s8QEOMSNq3dg/xbzVz8uPwGfz608v3+egpjLm1jWlCfg +6eKfssOqFNT/Qv9QttYE1IXtGPuJrS/r+sjTeALM98muOqlRkL33W9nT1yag +1vfB0h51Cjp0RfYUne0EaCQv9JZid1JSQn+6ToCgV3jWzQv4fd9fO/HSGz+/ +1/0+iwYFyXdXil4JnAD2zwnHs7BZNM+4C4ZPAF+JUNclTQry7JblIGImYCvB +cptGi4L6nvDQVCRMgBrflbkk7K5wA+XwtAnw3cNnpq1NQZYWF3os8yfg9ifr +/HVshse3K6QrJqA75OSWGB1cn2p4aZkaJmD6XZySki4+P3taI/s7JyAuKsl2 +Crsnask7cxivX9HsUYgeBcnEjhYHzU7AQfWqp1L6FCQQx2VguT4BVMdl3x5s +ZT3KGYV/EyDqOHXzoQEFWb9Y9t3NNAlCa1nyRwzx/Wzs962zT4LDF6u/P7HF +9g6wtvJMQonKv2+ORrj+sSSbZhyZhOkboTpcFyno09CZv2HikxD5/dBQIfaZ +y8y/XeQmYa6p9Mo1Y9wfvL10jZUnIdvUtW6LCQXdcP5v85TWJDydURdMxZ4M +/8PMZzwJxVwarnqmuF/aTjptvTYJMR5+aST2hXxhqdXbk6Ac+7sn5hIF+VnL +6Pa7TkIuR8kamFHQw5cetTXek2B5veu/Ceza4MtxWYGTkMWtRwRfxvlUZ9D6 +MXwSDHNPDIhfoaC9DPWW4bGTQBSFZrVjG+6W1vNPnATVZBuvu+YU5M75561b ++iQ0kw2SvFfxeTj1Qt2mYBLu76/pKsempbcyNK+cBLnwq3esLSjoH9tYiWHj +JBys/LDKfI2Crsn5BGl2T4LFkTfW6djWASlZ50YnweeAVr2hJQWVirUCzE/C +D+66g7+wNT9YiymQOL539914a4X7472+B3KbkzDxSSNK6To+z8HvxE9umwJT +imXxBHZu2yGVkzun4FmjXUvQDQp6ENRZKMc7BQb+Lh3HbuL+xyn2WkFwChbs +fGtbsEO2RnfC8SkIGXr/1c2agmZPPrt3XmEKHgn1+3Lfwv0pzt1f6/wUbI05 +fb4Ym9axbsVIdwqWHjT9trChoBaWv1VXL02B+t7YOPrbFLSd3Xvz9vUp0M/6 +Kv0Z+6VK2QcP+yl4E8paoGFLQdmJcikBnlPAvvBDfAlbyubS3ki/KahimIoM +t8PxXnm1mvBsCvi5XOZP3KGgg92WUnmvpsDI0EOqB9t3VnKg7v0UjBJ/b9+3 +x/OUkOfycMoU9AizvzzggOtlbfIdStYUWBwu/FKOHSp1ymhH6RREbduSfcOR +gq4zfEgSrJ2C8G3/fWNyoqD3bLo3lNumQONCUtQX7Kdmxc+vDkwB0zy7m7Yz +BfEfMud/MDUFF3aeV1rBPtKSJBC7MgVCQ1r/XrpQ0Hk2tldFf6bg922pVBlX +XM/ytrsMMkzDl4bNCz3YJV2cJTRs03CcD/V6uVEQzfcYD4G90xDu5WXG605B +byr2vtfknwaNGYUGhH0rj/Gkq9g09D9glbDywPONe4/i25PT8EP5tz+DJwU5 +7WbMqzk7DdMq22qTsF3mGT+saU4DY7DahvpdCvLwMvhz0Bj/f1epwDy2gO+1 +Gp1r09Cx6KH4/B72cjKDj+00FLM/UJfwoiC0Ep+T4TYN0ve7VVqxb0787B1/ +OA2sIhGSrvdxvK9FOHMHTwMNV8EOrgd4PpK6560TMQ3Oxw2HcrGdzIl/j99N +Q7qr3XtTbwpS4H24Xvp5Gg40bTf4g/1j/MXV35nTQIopUmIfUlCgWTzIFE+D +tR9LyBkfClK0knrjUjMNlAzfncPY93fm3cxsmYb2xIQQX18Kki1NTV3tm4ZH +5/2pfH54f+ee3paenIZtLvxGldjfTJrfeyxPwy/Wl59u+ON6v7GuU/R7Gn6S +3WNbHuHzzermScswA/JbN3d9xn61VLf3wo4ZOMjLIa8eQEHLZ91kX3LPQBMz +t+4s9s7R+caBwzPAmMpr8vQxBR0e+jYiJDYDDs2i+qJPKGhXgKyjx8kZmFTV +OtOAPWZM51V9dgZURoP22Qfi+W1nKO1urRmIs5ufZw2ioKUMY0Yb4xlIyfBO +S8M+dLU3qOjaDOzzvHBdN5iC0gMigtntZuD0E1PmFWzPH3TbbrnPwNeP2fFh +T3G9pE9kQj4zEBB8S+L4M7x+nV+PuZ/OQMim17dW7LN/vAJcI2egruwXr0sI +vn94Kn1LHF5P0Jwv53N8v56tDOIpM3CT1azrOzZDC8eT51kzUL9N/4BhKJ7/ +vp9/ulQyA4lSvabr2F/X+Tn0a2eAWf7v44gXuP6eO7Yvp20GHjdXJkqH4foU +NpTMMzgDufHy+e3YBv8KC/2mZ0D/+q0S13A8Hy+c1Z9bnYGwQuOcnS/xfPZn +/Y7R3xnYpcvxIQubhsZgRxnjLFB/fvA2jKCgOo5BGTGOWVBp2aGzjl3us3si +dt8sSDPc5IiIxPHt9NnLcnQWHBi//ZB6RUFRAzFd3pKzUO654tSGHRA1u2/1 +1Cx8WZdjdXmN+43G0uzN87NwgSvsLccbPE86iZ4d0J2FW+6bBzKxu6v4DxuZ +zUJIWlikXhTOd0Wz5403ZsHJUPvfMvY6h8EjdcdZyKEqXnoRjefljFCG6nuz +4CrmmCweg/f/ZwSHSsAsDDyZnmvE/qI2+aUiFD8/NPOQfSzOL2OmVpXoWWhr +7brA8hb3kysPA2riZ0Gr/5p1KvavjaZqjbRZKJK55KHxDs/zhx++asmfhaM3 +f96bxY6eZidMKmfBYrnQKSiOgjjSWcZGGmeB2/jkZcH3uH/voVrY9czifqEu +X4Mt8O+iA3VsFrJrKMw3P+B+8yCd9fHiLHjVabXQf6Qg59VgxV2/ZuFBsmHw +J+wQwo42kW4Obvbvkj37CddHiwHjk6xzEN4X3TWMLaBpBfV75mA374Ltw3ic +/2yPi64dngPDfVzr+xPw99+5hnrqsTm4ev6AYxF2bzlyCjs5B8fYOIYvJVKQ +0fvpLyLKc/BqhqL8C3vwRINXjdYcWCr3xrxOwvM7D2XkuskcpD8pnzrxGfdn +4aVBOqs5SD1ccLQd+4XXGZf4O3Pw0+enmXMy/n63sY877zkHUUx//dlSKIjt +OdP1Wb85MD9k9v4b9ufqV2WhIXMwI7aYrvkF54vEpzyZN3OQG1GaPYtdIJSn +PvRxDjjzur8FplLQZQMLt6Cvc7CfcjZW4CvuB6ECCify5iA/jdG7EruR5tW7 +0fI5uKYoYWj5jYLuscm/DWuYgzKGat5N7HqrdyfPds9BrWnrwNs03M8ntZ3W +R+fgT4R52Kl03L+qulQ/L8zBuR2ucj3Y9x2riq5Q54Dg3dfpnoHn2ej45p10 +8/COy8J6ZyaOlxztowaWeUi6oL6QgR0eYNv1ZM88mLCMWOt8p6CwP3fqlA/P +g95Xia557B1mry1oxOZh5Z7SqeAsCjJOcnuNTs4DtWxfxNFsCmo4+trRV3ke +xJvqRiqxw62D55W15+HLgjG/ZQ7+XpEZZGYynQfT6z/NNrCZkw41NVjNQ8d9 +0cDYXDyvc4zLRNrPw9UHT5Ll8vD/ubKVze/Ow6uU8dJO7PRwflLw0Tz4qWrV +ueRTkFVauTbxfB7IyJ91bAUUdLz7gHZF1Dw49t4o+4otVFK/Hh4/Dxy6gqkX +CvF8YHJJ+XoaXv9JnmdT2K6jpvKyBfOw2aR67VERnheGLvcyV81DjX6uyKFi +vH+7icOjTfPw4bfzXDH2k6is3QW98+D1z//9pRIKKsw/lvNyYh5UYtYuULC7 +ONc27JfnYQdD3ezLUlzvgl8TGn/mYciR00cC4X5z7ttr4S0LwLGrc1sDdnL2 +z8lt7AsQwrfvqU0ZBb0L9xmb51mAV3WLmwzleL7utXreLLAASUrGdh+xI9qZ +prMlF0Asy7zhTAUF7WOlX4lVWAAHPVb+Pmz7K7PJAaoL0H/ewdGjkoLShnU5 +HfUX4HlJcCZnFQWZ/as/dvnKAuhO2MymYQfcWP+lfgs/b3zXHs1q3D9YrnjK +ufzfr09NY1vLvk0W9l4Aze2/DB/VUBCTncbz/UELoOV/9vrBHxSk4/1PgCNi +AUzvPLApwr4YrOXKFLcAR5Yyr5vU4v0kmtw3kxegWmTeaB17zGG/+O+sBVg+ +d/z0i584n1Yb3hKlC6Bv/nyvaB2uv6V3K1Z/LsCvl1sXa7Azbua/X+lYgEz6 +r7lW9fg8lB6RWR1eAL1WX48N7MI540frcwvwcVfYsZgGCnK7NPOUSi6A59xY +j0wjvr7SResfzSKE2Pvfb8X2Ew2rZWBZBOECz132TThfx/o2Wfcsgut4ffzW +ZgpS9V9c4z68CJ0MQcIJ2N5rVp8ExBbhtkxOIrRQUM7Nrh0n5BZB6tkV7n7s +MbNxuXMqi5CxN9DPoxXf/50An7HOItSsnRnlaMP3Oy9fe/vSIkyKPz35DftP +bqG4z41FaOx3C1Bvx/NngurF146LcGI7U+04dsF2r9PpXovQ0nyBzqeDgt7K +r038fIx/L6MqzdNJQbY/tHSnwhZhQGvL5Rzsu28FHzC8XYSVw2H39Lrw/iwd +unPk8yJA1XLoPLYjdB9U/b4IbYpisU+68feK1eyb2yWLkB+tH8fXQ0EVHpSO +0NpF6B29GVWMnT7/rjunfRG4D7gGm/Ti78uHPh+Ghhah9ZK/8xo27RkFyW1z +i3Ap5q3e8z48L/o7B8qQi1A7XXdUqB/37z8VSddplmC/+m6iApv7Y0toxPYl +2CgLzDcfoKD5MgWl6t1LwH9RyO0X9gsysegX3xK82kYrGDGI66lIJq242BK0 +j/C0ig39//02OW/KLUHj0EOXWuzobumVdypLUE8ru/36MO5vhSvRPTpL0KF5 +IfYfdpFLLzuX2RL4lJYfjhqhoGm/8IuGN5dAyiT5o9Qont8Kim0inPD9dzJy +N2L7nN7U6Ly/BGLE+ONbY3g+8Pv3lztwCVIJjXnacTy/6FzxufpyCZo5zqm/ +xR4qLWtLfLcE46o9b2UnKGhEsYW6lLwEj0LZZ1uwW59LLstnL4HfJHnMbpKC +BEsDC56gJTiuEm6zZQrvh8wDk866JWD8NB/7Hrvya/ZPga4l+PyL9Yf8ND7/ +kj3sd0eXQF2Zdq4dm/ZwqFjDwhIwuDUxOMzg+Urm4aHDv5Yg8tHDPVtnKWjB +RW/uHv0yaNvyHP6E3Sz37Vn7jmXw35d65PQcBXHJn9kiwbMML57JH+zCtvdK +MQkRWAaV9CYOp3kKUr8U+2hechlEH7j+3bZAQTyBxcFap5fh9rjkcDw22/Y8 +23S1ZZDtZis8s4jfR1lGcJfhMuRq7n3eja09PIq8ri6Di5SxqfMSrn/zt2TG +by+D/oPmfduX8ffBD5cgbfdleLcntDsBO0AoraDAdxk8yZhniiu4f+2v+SkY +sgwxTJsne7CjmW4VvHmzDA2nKwecV/H+JZ4J3ha/DFM+K/e2r+H4M1PlvdOW +gbvyBVsi9oePSg1rBcvgtpbyTnGdguLFapVsq5eB/q/akR7sW3UKUeMty5Ba +7xLvTFAQ3cKF9qsDyxCgLb1vO0lBFhYf1/qnlyHH4eWzBOzzGqsUs/VlEN8X +TZyh4HooOjvSv7EMwqf0jLux2R3emkpsWQGj4rIMJyr+flFVz15lXoHRwHV6 +5l8UtHKzhT6HfQWKnqzqxmN/U3yudm/3CpxLqIw8/Rt/Tzl3+yjuXwGi1qWt +E5u5nukbw+EV0B5i2ub4h4KOqnk21wuugHr9M7mt/1HQf6w+0xFiK3Dfk8ny +I3aR+13yivQKDDU+8j/1F8+3dCW/j8qvwJPsbe/asbVuJhGriiswxf4p484/ +/P3zMHSq5NwK9NRdLNmygfvxlebmpxr4fj/FKuOwx09VZpjqrcCndamKk5sU +pBZQFSxovAK84g6FLdjtrWKXqZdXoPLqTOptGioSn78kUGuJr7f78pqOlorq +a+Jnom+tgIh8iVcs9lKwdeId+xWgpAqbnqCjoomgf5eVXFfg85df4o3YFNUq +Fq57K7CwR3rzJj0V1Xjszp97uALvu0drN7B1/uheLQ9YgcPNrCFvGKjo91jD +ZtTTFYgcR+qSW6io33n2rXPYCgwQNJu12Ol76GQ1X6+A50xvmiUjFfG5u9YL +vF2Bvx8MTf9g/zCLMaf9hONN5/nfSyYqsvzZvjD4eQWClrWiRLdS0djqg3tF +31bA9sKQeBV2rMw6fUzWCjgQ0ujKNiq6dDQy5F7BCtS3GV8gseOelOw0Q3j/ +a3UbnzNTke+FxmiF6hXIyRTUPLqdio5G8B08UL8C1h7TFaXYIfncCbStKxBD +fXPChIWK/gKH8FQXXi+X8odl7ImR22n1AysQ9X1pSxArFfEH+J34PobPU0bS +zUM7qEjqXF5R9MwK8K+6oHzs7fa25/yXVqDB6MpOfTYqev7gT5MdsQIupXaW +s9hBh39cNv6zAmFsX1L82KmoWUly/izNKtAKHVrYy0FFNvOvvMUZV6F2pkvo +O3a5jenO/SyrcFem20KDE7//8Z6vzJyrwLEsHD6GbbXqrvFnzyrQkd3FXjup +SOXJy4U53lWQEZkb49xFRadoX0QM8K8Ci+Nt+lRsg6QGaBZeBZekqwdUuKgo +Y+HraoXEKrxIa5Puxy5+GJ6SJ7MKmXZNKq67qejiqYFb3xRW4b9iM53te6io +W3L5WMLZVTB64msYj33587HfsWqrUJasbqjATUXVu6kNkdqrcIy+WLsd+7do +ZnKo4SrY3htXtttLRQs/SkKCL63i+eOHFD0PFc1v+tx7bLEK2UouvLHYd3kv +O/rfXIU6w3k66X14PXHfHXztVqFz++nxOuznsnOePs6rEK5mX2q1n4oCGm4+ +8/FchYKZwMg/2NLewSm+3qvg0Rl58yUvft+Ygjb/R/j3i2+PixygotwvZkxP +gldBiyvlVzk2sm1Ve/piFeaOVRReOkhFEg3+kS9erYIAz6rnKnYgpX3xVSyO +H1KUDD5ERbxqIkbvPq6C+0bW+CE+KpLUn/+R+BnHo+TSy3zs40MPLqR/wx6Q +O613mIoyF8/1FmStgoWy2eg0dk1Oimd1wSpsb6/x8+GnItZ4DoE2tAqGToG8 +e45QUZ3p+Ohw9Srk0CRmp2GLZD5OW6pfBXo7ITVVASq6UGLxbKN1Fc6F8XQO +Yj+s7rnL1rMKY6YBV92PUtHtC6aefEOrYJfsMM4iSEXrm+cDT0ysQuiNsesJ +2E3d21LU51ZB2X1mWEGIiu5Qtw+ar6zC15Jgk3Zs2pJsfjfKKggJN9fZClPR +r9I73s/+rsKBmHJ5OhEqGq5/OxdPtwYlf24nRGPHzn2zK9m6BkbHW5mPi1JR +vNk22p4da3BVkMa+FntXJHfq+q418KzYrLM4RkXtaudt2fetQdN8zxEq9ojF +b0VxvjW4HhrpFSpGRWc244S1BddALEKhQUAcv6//BxF7sTXIHunaW4I9+tBG +OVR6DbyvO143kqCiK1WWzhny+P6MO1Lmsf9dpua1wxow5hTN+UtS0WRQ5O5f +59fgsImfEM9xnB+1Cc95tdYA+m5ZZWK/bo3gPWewBhYid6PUpaio8XVjjZ3p +GnSeKKobxpY5VxoceXUNbkzI//aQxvt1ts269MYa8Aj9499xgoocJTyuztqu +gcciq2YitvfCbmcu5zVQ53d3OC2D8z2M772y5xrY5CqEtmObONLPOnmvweAb +2y+2slQkxi2i++HRGgjnMVfSnqQiDmP6tpbgNdClF+iJwh6S+OdMF7YGEXcq +ZiXkqOjpzGMJmddr8GlynlqDLb25ffvtt2vAcu0L3VV5KropscEQ92kNJhsY +mUlsGed63o7kNXh1kHlHyCkquvF77OL29DWw1CzZwa+A66V89jeVnDX475ww +SyF2+kiagHfRGnzYNGbUP01Frn3KpXnla+DgoPtvGttYb8Rz/ccanHm6b/Xh +GSo6m0I1kGxagy3qVaNcijifg3/rOnSswf73Bs1fsWs6jB2/9a2BYUBzgQpQ +0eMvvpmLI2tQvarysQ+b13Zmt8T0GkgM5z92VsL1PmPzvfPiGhw4f/LW1rP/ +7w9y2jnr+P0O1p5/jx3oz3Dwz+81oLnpxierTEVTfl1cSjTrMLDr/J8G7I+r +h6QCGdfhsaBKy3UVKlpNMXZrZlmHnmjP+D/Y9yrmBrh3roOP3bxr+Dkcz5d6 +d67vXQerN5/PCp3H5yPzv8PpB9fhNW8OC8LuJS1o/wqsA/F7f+dFVSrK81xl +0ji2Dr8lZ2IWsL+EHjkZLbUO1mUHrz5SoyLGdvsXs3LrYJDScIBHnYrmeJU5 +FGAdrixSBzKwXYN3lzw/vw40EV+i1C5QUb7TtYhRzXWYi17UH8I2c3oVKWuw +Dj+21G1116AiAWvR8hDTdXAfUi/ZronPp3PU3omr6xAr5Or4CXuIMIg7fXMd +Wub0D8prUdHAy1bd13brgISXGpqx3x5/Jr7qjN9/Te+utTYVGf6mnNK+uw6L +6o/4/mG3GIW4f3m4DhT50NoIHSoqWq0Y2vp4HQ62etmL6FLRtzJOT5tn65C8 +x4C9HPs+ua74M3wd1Hh4M030qEiTaVhWNGodlCcndJewJzK0LELj1mH+8feF +AH0qKlvJyV9LwPFjexG4zwD3i22RKqap6zD9/NGh79g6ftdoUOY6HOWMzlM3 +xPWc/9Xy0fx1yPrWozWM7bWZyhFWug4B7poj7kZUZHv74K0/VevQee+PM8tF +/P8/t1du1q9Da9MSbTz2vzDGtLbWdXw+j4fJG1PRVT2nD0o966BdWb+/BXvs +4+Ha9KF1eP6i5rO1CX7+iWiBQ5N4/7eKHv+Hbf1XtyB8fh1mz9MVRJhS0R6Z +ykcMa/h5lhdB5BKuFxaOj+/+WofrnmJVZdjRKq2lixvrcO9jhJqJGRXFLN+U +vLGFgGf/wn4uYm8v+NLXv50A4VRxjYDLVORxmrfUiJOAnTXuP3muUFGhuUJ/ +EzcBIc6OapnYhuqPpDQOEhDUcKRKzRzXZ0fXqhoBAg79ioMhbNnQp+HnjhFA +3Ttd4HaVitiS1WIqpQjwMGSU3m5BRUlbRYZV5AkIrNuS+hFb+1zmtWogQOnz +Ep/cNSoSlTM/qK5KgPuOujdN2NbMafsatAjYJfyR5aYlFVmIHDHWNySA94i3 +73/YDXpKzd2XCLDkv7UeboXrle+jQItrBMib2twUuk5FfQyOPjPWBFQvBHeV +Yp9yD8hzsSdAjb1T9eINKqJmnpfccCXg8JpB7jz2hakTc0+9CHhSxiLgfxP3 +t6COSW4/AkrTtkdwW+N+ZvqZPzmQgOZlU5p0bM3rkglyoQTY5v67c/4WFTHR +rN+qiyRgqyx9bz92Y6uLo3ksAeWfXc652FCR/Q/potWPBDgoX0zfehvn375C +zcBkAkTPZO99j21l/JTvQDoB6W1Rj2RsqShRQ/hMbg4BXMCyWI/NuXf/e91i +ArhL9hhb2VHRFokZtbkKAvKCq0p/YXOr7ZR78pOAnMl9gi/u4H51m9+Jv4WA +cE7BFwL2uD/Mx62UdxHAqbVMKcIed2QptBwkILvH+6qBA96P2bUGugkCFP/1 +V89gC77pFU6cI+DcBqeYjyOON5N6q/oqATwHj0VyOeH34a6pXKQSYPFV8r9U +bBmynzZyg4C/C8JWys5U5L+XM0RhCwkxonw/e7B19FatJraTUJN1UNLRBd8/ +my4wlJOE8nbxN1tcqf+juL7jsfr+AIA/xmNvssrIiqwyMlLnyKhQMgqRVZIG +kSgkSiRZqZSRkDLLKCI5hJBVRH1LSSSzMp97r/U7vz/fr2ece8/5rIMePesm +DCQWgNoXh9V07EsrQy9HZRaAv/gjL61A3N/zG1tuKy2A3i8bOluxS3jXFE3V +F8CP4HYdt/MMlPpZ+uO89gJgNq/OWMC+xP6057HhAvh79y/rzSDcP8b15A4b +LwCzxuAzcsEMxCq7p5FvzwL4Lefc/xLbMvNkZdP+BZAvmAusL+B+9Vh1OfTg +Aigadyz4hR3VI3ZHx2UBTLJFC4ddxPnGXRv5x3MBfGzVDhcKwfGSkPemwGcB +SCefGs/HXj/h4Xj87AKYeLXtIAjF/YH5solC8AJofPagoQ9bky8uavjSAhDv +KdY4HYb7Q6rIhkdRC0A3+mQG8yUGSrhUyHU8bgF81xniuo9NzX49oHJrARSY +SoZohuN+dVn/7/S9BVCuIDPRjF22Zj1akbUA/hmRh10uMxBnXvm20Mf4fZfK +Omaxkxb//TApWQBJXbYgNgLH5/v0X7zPF0CO2q9ymUgGMj1uavZfzQIoiQzY +VIkdDcJojxsWwIgJa6bVFVyvt/eJBbYugIvjucLD2JuShuJMuhfAytjhuItX +8Xzdpn1EpH8BiNVqsQpE4XjocL05OrAA3vynE/4Yu65nQaJmeAE8e3OSNLqG ++9nZm2yJEwtgYO7b+V7srMRKW6+ZBbBnInXOJ5qBOAI51oyIBZz/OQG0GAaS +rRblEV1bAFbabHN3sY/YBYX8oy+CsLjOQPXrDKSXVGvRwbMIbGqYiEbsq6KX +LxUIL4L/TIrDDscyUNGonfB1yUXgVdXPPIM9dvgDz4mNi+BO5o0bMTfw+psS +Tu5VXgSPIz8IS8fh7ztvVFfTXAQBs88fPMeOdZc7KLBtEVyO3qlqeRP3V0p5 +eMFoEci1B1cPYTfu7fw0YLIIZg+e3HshnoG42p5oN1ssgoTXMl/5EvDvrW0Y +T20WgdK9bN887IMCR+XTHBeBRCTJYpTIQL/Tgl5Guy0CO5Gt6T3Ydl8VqwKP +L4LeaRsdnyS8niS37LEzi8CkxKt7DVt/rX7OPnARBM2dP303Gcf/zZ9au0MX +wbtjN7nVb+H6qcD93fDKItj/qLy4EVsrun9BM3YRPHOatT6cgvtR948QpaRF +MKBxcOEftnv42zPSqYtA991IRsxtBvp3WqFb7MEiuDlQaC59B88H/alZQnmL +oFK4bPY5tvnBukG+Yvw8skzZlnfxvDKsm8RTgf3skc1P7JtfM8q4a/D+h+ax +XkzF8zuRbMrTsAg49Hlr+O8xkIX98718rYugLeuX/2Psb6dzGwS7F0HkCX21 +HffxejJrxaL9i0Dejn+8F/tYkTeP1LdFcE8yMP9kGgMJlF/6oTCyCLZcPnuS +KR3Xs20/VTQmF8GqGZ/mPezxrG3j+rOLQG+rw6JGBgPxVG6QMSPx+bAfrG/G +Ppy3rcOWxgCryYLxLpn4/r2iNOPBzgBH0+66zGHXlCYlBPAxAMf0tMaNB7i/ +i4nlRa1jgJLDG1k3ZuF5YuqI7r0NDFBWajhQhX3VhhOWyDOAWKtJ1f6HuN68 +e93cuJkBNvua3/mFLWEi2/J1KwNEh1sFhWXj/OHuN13QZ4C5D26HhXNwfP8X +BQQgA2SY3TAuxM5v66lS280A3573qRrnMtC82/GnFvsZQJxmJfEZWyx6VP7k +QQYI52Jw+j1ioPPxlHicCwNkVf1Yoefh/dG0SCg5ygC+00ILGdg5cZeiPpxk +gOe3U/9qP2YgK7Udy4v+DGCbdmH6HXYRs9ai1EUG6B5Dfzye/L9/0M+ZRzDA +SEDwHIGdI+9x7mwMA1grFSwl5uP52u0vIz2BASDlyr6pANebisNMbXcY4NxI +jmgd9nHZ/UmMDAbYNhCucrAQ76/w+bxNjxgADCyDKWwRz1BjpyIGuPZL6fDV +Ilw/rXm9bpYzwMYFtguSxQy0EPNJoKGaAWq4n9wvw+5TjDFj1DNAiIYg2lOC ++8vTNhbNVgbYddx6bBB7p8g+qxPdDPCw+tS64KcMpFKJZHL7GeCQ7llzvmcM +9MH9ffjgNwZ4PHo8NA97136Nk1K/GKD/m9Nzo1IGilOK/ekyxQA2mnYzvdii +tOSxzDkGGJh20TpV9v/9Xwz7QTHAkS2RwczlOP8MTz5UYCZA9rp39fexj85m +2p3kJEBCpTHf1grcz5xNUssECPBZa9atFdu+muc0JUYA3cJfL9ye4/qHintM +ZQjgYqYkwMAeSe5vT1IiQJBSnW/CCzxPtOxw/K5OgAMXqj4oVjLQmtfdC+q6 +BNjpvcHgNTZt7LZ6uBEBMmUZj+yr8Pyr/yf4vQkBrvfZrJvCjnvh4KhgSeB4 +2Hbj6ktcL7fEdF+0JQAvrZRlfTWuL9Na3987EUBppCWyHLvhkeA1FQ8CLGZf +Z7WoYaCpK1+arp4ggNX55bgh7EZlsweDfgQIz1IXv/gKzy9FnEI7ggnw3VOp +QKAWz8+pP2QzwgkgQp/ZmY9dNnmlffkaAVTep/4HXuP+J1Mo5BZPgFxexYuf +sD/ICDDe3CbAKneulF8dAzke8LuonEGA1xIbWtgQ7ndxV9IScwnAFZ92/gG2 +gSLdmSgkQP4rZZVt9TgfR8tfeZYTQGL1/VAntrvQntdd1QSIKc7M8mrAz3Ms +0t2ogQAjKvc9V7BJgQ2Pi1oJ4NHTufnOG7z/b/sSNrwnQDu/OaHWyECSxafX +J34iwOAunvYm7FfHsqxYBgnA+Lw516UJ9yNedfmLowT4bVQcMY+9YtSX9W+a +AH7f0o7ebMbxy+HY6LNAgPdqTFYKb3G8rpxPGFkmQOHDcYNa7E6Vf0werCRY +feaqbt+C80PkuvQgNwlg/0mlKWz5xrURV2ESKCWKK0a14vtntcShH5IkaDwS +oLKhDc9PjHsBR+VIUN90Rfs5NtcK3D6mQoKHu+1NrN7heay1r9R3Kwl2B8w4 +jmB39q//uKhPgsSeY4Fh7TjfFD/nRUASjM+/vCPSgeflLe+VePaQ4OoporYY ++9ZCm8N9axKYd6pPmHbieJ6LM1B2IIFd+VGpb9gGKt86XrqSYOj5o0Pnu3A8 +iV8TsjxOgtcBS3d4uxloT5Ml9+AZEtxOCviah71aTlYFnidBcanIpp3v8bwy +7SDBc4kEG0OnLvRj29O2bMmLIsHIPdYPvh9w/C9ZroCbJLhW463J3sNA3YFB +kQMpJJhJlr2dhV0QFfI6JJ0Eip0Ga3q9OP7fyZdL5pJgh0rd2ffYe312utcW +koDh+nLsxEcG+syT2upWTgJZVW1vpj58//hFTbLWkCDU2mDqPvbzIr32ogYS +zCf1BWv14/vFg/Xe9m0kWHkhxNWOPR11vn71PQmexizlHP2E8/GZyOfCzyS4 +2Ju2axlbcKH1qeMPEticWRq7/ZmBvr70NOMYI8EjZeW76v8xUO6v8ozqvyT4 ++1XV4i22+MyNF6cZJJD2EKS7fWGgwK+1SRvXSKB/f/gtA1tiy3rNz2wU2His +JDHpKwPN0i8mJ/FRoOjxRTeVAQYi1gpeWohSQM7Cbtsb7Jx9V/LYpCmwR99M +xPkbA0UU9Ts2KVIAeB4m57D9j4b1XlWngG1V5q+b33G+7NsraqZLgYStkv8p +DjJQbbewHMcOCvC2fOmtw344WM7oMKXAUNBEn8MP/PxMq6kpVhS4A+wH/2E7 +WXSyuNhTYJ+C/L/YIdzvXcntSi4U0FX35JD/ieeXc87Gs0cpMO21QbkWO8Km +U6T+FAXQFxfrg8N4/jigUpV4jgJPMjXC/2ArOFuoeIRSQLM543nMCO73/7hP +61ylgOvJ8lnZX/g8N1pEcMZRgCkvRL8G+++toeM/blHgRzot2m4U3+/Cn8lW +p1GAy8/66xT2oYrkpyk5FPhjGqAf/Rv309vHBc8WUqBvb2CmzBgDlUryWuwv +x58Xu3NVY//uP+akUUOBnQ92XbYdx/P2331Q4A0FLA8qLk9i98oVrM21UWCA +UyTy2gQDvXzrcO+/DxSwX5bgk5nE+dW2nbvhPwqonNqV+xI7pELPqXCIAnrp +96DtFP7+I42rd8YpwNm3aXQSO9CR9caVGQqQXksp16YZSEMh09efpMDPTGkL +mT/498S3rZ5MSwB0Z3BUY5/3KP5oz7kEgm0ju23/MtCJmD8OewWXQMHVTw+m +sI9pxtUCiSXQ+KYwKPofnrde+bDob1wCUWfZHGRnGKhHNUBdS2UJjM4vgBrs +M9Lx2zW2LoHK2qit9rN4Xnyfq6FmsAQ26dSp/sF+I/2QXc14CWi/L9G4Poe/ +f+10i/reJVBDdzOUm2eg+xvnfbfaLIFk22/7a7EPlMmtbXNaAvJaOqcPLeD7 +0+2RCzs9loDYJr9b/7B9OpS+7fZZArTa+w03FvH9YrVfzc5/Cd/XEKnAwPvr +P3zC/eISCJ+aNETYE0Lbb/lFLoHoJ5uvOREMNOTfWRARuwQizWI+z2GvNt4o +TUleAnquvLoJJAPBkaNP8u8vATKpNU2ZwvcLO4tElL0ExK80cTZinzbc4vO5 +YAn0fua5cmSJgeK9ObbNlS2BOOMSFgJ7r+3bRf6aJSDnU5Zwa5mBgiRdizXe +LAFJVkV59RUGarre5GD9bgnc7BBuaMEe5P9L+vcsAc2w2BOeqwx0r6M35e6X +JZD1KVliBftdtI/S659LgDlL/2PqGgNVlD0p/zWxBFgexN7TohGo63S0gcAc +fv+spOOd2GpRq6+MlvD/X3DaeYKJQDb+nNtPsSwDv9W/MizMBCpwzq5K514G +HzjduR9gb5Ro0OoSXgY7LrygGbAQaETjWAnzhmXQuGV5rRf774doZQOFZbBd +HHL6sRIo+rdinr/aMtBaH7+Bi06grWxAoVhnGTzY9NcgD/vn+fePx4yWwS6d +AA/IRiCJrf+pbzJbBtZGcilf/+9fjjXe+5bBmAF3dxA7gepmrfcVHlwGb7YY +rBPiIJCuH/r958gy2LrppVcJdphCwQ3d48tg5+bb9Xs48fMl8+uF+y6Dq+b/ +KY5gS08vTLcGLYPlxJQ7l7kIFCPnXrru8jKok+/mX89NINZ+28vHYpaBp9S9 +25XYEUd7nV8k4vXSKXlbHrz+4G9zjnvLgNbOXDeN/Vk81fjIw2VwqrfWM5aX +QOtTx6ye5y+DO6M6Qop8BLqYOeLDW7YMZPSDO+qxgzffvn+iehmUrCUmu/AT +KJKgfWtuWAap4XEeBPZyuK6u4rtlMMk4b3RbgED5s0a50T3L4Em5s9wWQQKd +NZdXnviyDGrJPcId2JJqC03Ww8sgaqMF/wkhAv0QqQ+pmlwGLmGnRFmFCWSi +dcti4/wySPOpVn6InR0Uohu/vAyem0NzIxECLd65brTEugLig3n8PmPfYut0 +P8W7Al6c3JwbuA6/L5NT7rd1KyA05vFPAVECeUftpNtKr4BV83j1Euw166SY +VqUVsCQzeXWvGIFkJz1UjTVXgE1Sx69f2Co5LTOv9FaAifhOuyviBJK73v9V +H64ANlOrDmkJAu0PfjRRtWcFiKSz2LzCZhLaI2NgswK+l54dcpAkEGz8HFLr +tAJEZR9emscuQL6rxp64RV96oJi8nkAEXb6o7eQK2Ot/4T/1DQQadOO/Yndu +BXy6b3j/HfZ7z/1Rg6ErYPeTmWPeUgSqPrtUfiZqBfBYFhqxShMo86UW/+rN +FTCk5y+bjZ2kJ5iWdGcFyKnYCeyUIdC+6uf2ig9WwL9vLjxfsQX/2w5rH6+A +YZl0kQuyBDJifnvk4LMV8PyFpMq6jdj+557+q1oB733H9pZjH9fx0k6oXwGG +coLB1nIEOqD2elq9Da9fmF06hS3I++B794cV0Dn6eDFWHseTqyp74JcVUPdK +fe8mBQLlhceekBxeAaZiJvlN2BpZ31gaJ1fA1OicsKcigZ617ftyZn4FWMns +u7mGHf6dNi25sgJkXjsLZioRSPiu9I539FWQ06iWa7iJQN2R3e2hfKugR6vT ++DN2Os+ONE2xVZAhYTF9XplAVGhywS+ZVXDhRmmesAqBnvxjUJnKq+BAOu+p +MuxT3hmJjltXwYvjvjusN+Pnryk6sc5wFcjz/9gwjc3z0C7m465VMFPrxxmn +SqBzz95M3bFcBf8yN7OoqBGo5ohympP9Krg5KsXVgp1Ke5Ekc2QVRLw7JO2l +TqDmrvsffnutgrEbPwGLBs7XIQ7Xct9VMHCmyzcbe1pLV+9y8Cq4XLOpCGji ++Mm1dd0fsQo+NizNf8PuWrjzUSZ2FSR/drAK20Ign16d9LnkVfDGZW+Z5FYC +CbR7VbSlrYLAwm/y1dhLtu7SObmr4PtmuUcOWgTa2ebyLax4FaTtV9BaxK4K +vD3j9GIVbL8+03lbm0C/rxm7GNStAi7L1GBtHVwvxLOk17esgr0S8po92Le3 +jhusda+CPSE582d1CXSl2eXZr8+rYPOiXCv/NgKxP9eL6BpaBVNS5QVPsX3b +X5ZUT6yCP9eP3N+nRyC2NhmDJ3OrIKVPK3UKW/lwiXzqMn6+xyA3Tp9ACxty +fWPpa4Cel/x6swHOx2yT9eF8a4C6vG20DVv8ZM/m82JroOvPdikfQ/z5dMoD +X9k18LT4mSfHdgLR73YGn1RZA+FhWZVPsPc2NVed0FoDI4oSEruNCDTZ1ejm +s30NvA7efGMUm5dVwP+06RpI3j3EGb2DQFKFc1P++9ZAvL/lPcWdOJ9o1R8v +HloDTn1Bus3YfcZFKlFua4DPzX/oGCDQ+RzR6aQTa2CM3JPBCnF9stsj+9B/ +DZSncx9/hH0kKqGpLGQNJBm37DQ1JtBRd/2vzVfXwOGpWKUR7DPCd70Gbq6B +zDwPqahdBFppJY4t3FkDxEUXeQUTAj0oKf8ikLUGzCKv6zdhM/6Ktmrkr4HQ +z3Mux0xx/Wy4qGFdtgYmHhYnsZoRyNxxC39AzRrwYWnofYSd+CfpVGrjGtin +A5TMzHF+Nc+aoo41YOKte/0XNo/C04zxvjUg+qmMvLabQF8PbwgUHVwD/7re +hCjtweu/Se0wG1sDEqlB3C3YfnWhT4Jn1kDE5a9F3ntxfalVYCum1oDS0Joz +hwWB+tcTgTNMNOgmM7u+ADvXWXpzAhsNmj+on9xrSaDGMR15NW4aNGq72D6B +/XvdlHs7Pw2qSqi9irMiEK1ufviUCA1WsI3WqO3D+W9KK+GVoEH/dZXvOrH/ +3K2vLZWiwaX2wgnf/QQKUR0TPihHg4xXPZIC1gQKYtlcQSnR4LvLRs5l2L8L +DdKzVWlQ8Plike0BHP8G7R17t9Cg2Co/7zz2rE3KnjkdGizkSg2/Y0MgTsXd +/A8MaJAzIY2mZ0ugLL+MjRY7aTDPVCXlM7Z/2N4Ixi4avP7HZluIHYFuKNDV +Hu+mweWD8hPr7Ql0pzta8ZAVDe62Ln76GvtpYPQZdhu8H8+WrrodxPuTVsta +cxC/v5PsSaZDBLrp9HPyzGEavLxFxSMX286pTF7ejQYNlBR9zBwI5PJxuPi/ +ozTYryZ/5Tf2wl2d68knaPCtuVZxrCOOb5pbpcUZGtwX7PFb1QnHH7OMPj2A +Bo+1I+0ubGXFrXwNQTRoYeeSfPYwnoeu2BqEh+Ln0zCnCTsTiPsdrDGKoMG/ +ETcjXmCX7KpJXo6iQUf/nUKOLgSyaL1U/zqWBmd0T72gsFc7LXZHJOD9YJM7 +mXkE12PXISXTFBr8oxKwBboSKGMDszvnPRpMHjnJMYz918R3rjsDv2/c+tlr +bgTyKvg9lJpNgxuDUqaV3fF5vtqi5vGYBqfZflLt2DLXeHpVi2hQI19U0s+D +QPcLdn5iPKPBtLfQUsgT1+OTcQbNz2lQYtgv4QV2cm4VlVJNg+4XKoYdjxJo +z/vr64/V0eBe/vWWy9iaHM0Zuo00yLejsinrGD4fJu3LHK34fe7fPmDiRaBW +wbTGgQ68f83Nf0axu9XfnCz/QIPbTjpl3ThOIObJc+dj+/H/Gbp5anjjfLh8 +YcTjKw1++TOq14N9r/H+y+0/aHDYkiYbdIJAfFtzZkV/0eBV0VeSkj4EUvjl +kjI3juNNZZNyHfath3fSP/yhwZLD9ns8TxLIqlWcp2yOBucTbEPZTuF55njF +r2QCx1Pp1oZC7CUVbZXAFXz+VUyS1qdx/Poc/+TAzARdMnuuzWF/lt0wY8TO +BKNOPWe9d4ZA2xfkg+V5mOClzVV3jXxxPdPef5JbkAl+m5vYPoRt+f5U+/w6 +Jqgx6jZ/zQ/369P70wclmWCqilL95rN43rJp/dIuwwRjp/ZldWOXnyu+Ua3A +BKt9ficH+hOIDOwqyldhgoajzPckAnA9y2EG9zWYoFV+aVkddvKilFmcNhM8 +z8w0ePQcgZQkF+vC9ZngRgdWWc5AXD+OeZSc28EEt7K3Bz7F3jCwTfDkLibo +dtnrm915HI/6+yc9djNBZ/0RJxL71yBOZCsm6P3CYeJBEF5/6hH9kA0T5L/0 +PsE0mEBDm1N32x5igvGybrsnsG3Ft7IccGaCN4xERJIuEKjj9z4Da3f8/0G0 +Bd2LOJ8i2iasvZjg1xCdia/YfuER4rYnmSATU8NcZAiBQnUONB70Y4JmLZWC +yqEEQkWiU4cDmWBtupJpF7ZCXnmKx0UmSFlujAsMw/l4n+WVTzgTLHxeNSp5 +CZ9v7bjnuatMMLyBOtSAbUua3Qy/zgQrnZe+eofj82GQenHxTLAt9N15vssE +eiM+dvz+LSY4pHhR4QV2QdicREEqE3x1XHzMOQI//+qaTU0GE9Q6UF3PHEmg +Xv1Z/s5sJijNeuZpAbbA1Wf2Q4+ZYNAT07IDV/B6C1IbGUX492dt2hjYj70V +gvjKmGDi/UeLD64SaMu5QvtNlUxQyNvawDwKx1fAvdfGr5hg6OajydPYXVGf +yo7UM8EfO2ZWb1/D7xdroxXajM+XifuKUTSef5VnQNo7Jrh9uEFyBFvzXfbX +mm4muOSyqS0uhkCbs63Zvn1kggUzVvHa1wnU8uh3Pe0LE8zeZOr9FTv3tgOP +0iATvH1b2uFqLM5/In7caoQJvhmYdlG9QSAgH+J0fpwJOhY0XujFjtLkOZL1 +hwn+LSorDI0j0AdW3YV3c0wQPWyblb+J8+fQqBxBMMGeQ1I2HdhMj4R+K60y +wZisuubAeLy/20t2ObAwQxlbdEAqgUCihoXbYjmYoZ/71tlmbPG41cZaXmbY +/UKp0DeRQPaTWZMzQsww1K7sglgSrodjUU+VxZnhpx3DR+qxbYcf8XpIMcPV +6C4nn2TcX/kIznQ5ZnjG+tppoVsE+s8/+FH/Jmb48pXE3VfYyeMbvgurM8Oh +1cz+Yyl4PlEerrLVYobHHBU0+G7j+aCyWStFjxlGcKGMKuychXrrPiNmeMM3 +Qs7jDr6vyvTwS+xihq7fQxDXXQK1mzPOue5mht+b6s89x1500ryUZ8UMPe4c +A66puD7Ihaj9sWGGCp0X5Dju4fnX7PMVfQdmeJ/BL1WOHbzbMjLKhRleKzDS +dLmP14vtU+7xYIaT1wSd2NLwPLIvJGSjN35+7ey00v/7+Y7ggNPMcPDk6tzh +dDyvNyjINvszwy0z273oGQS6dFg3SCKYGW5LOf3nGXbS7qAQvzBmqK+Um3g4 +E+er7l/1lkhmuC55dg/9Aa4vL/OTZWOY4ULTGclS7CfmxY9DbzJD1bpNrM5Z +BGozZvX9nMwMN13RZmN7iONz5tXYtlRmOCv3SLYMWz52UCw1gxnuarpp55KN +67F82DKRzQwlY2lZ7DkEOtiWleryBJ9HiRBLBXayr9NEQzEzNAzsv+yai+ej +hZcLyuXMUGCT2zquRwTi1+iuSa5ihk2y9Y0vsGX+KzFcrmWGnW08cR55BLr6 +xDvoxBtm+PSO4ynex3geNhLw62/B779Weawa202tVtG8kxm2JG4P9npCoN3M +kelVPcwwboTMEczH/dHo/IfNn/H7ptHHXmMvWpe2Zn1jhuVeAeYnC3C85Ftc +ER1mhj+X7epECwn0sujIWsIY3n+VOutG7KxKFmPOP8zww5smyq+IQPpyjnuu +zTHDvvxQtKEY1/9dwaIsJDNkbVnMbMN+7RNefGWVGWZLWtwNKiGQxGgcNysr +C/yWH5sv/xTXfzakE8PJAs2ut318j02I66vw8LPA1T6p9eHPCKTrKz5xS4QF +irxJC1UtxfnqeOXCekkWKBptv/gZ+5XG/b48GRaofsItLrqMQCOWkcxaiizw +JOo21CknULGgO61+MwsMmKhm/Yn9d8z5vfUWvL6z1nhiBYFYTDLODemywH83 +9o3teI7zIX3vZOB2FpjDJMs8hT0VFK/PZcwCFR3rtqW9wPPbiVsu2eYs8LTO +jug9lQQKFIhyNLTCz29c9m8Ru2B9onqfDQukQ82gvCp8f9szNODvwALvrbSL +2r/E86ZXgbfAERbodiijh7ka3//sxbpLPVlgnMqLgjLsaS4XEbsTLLD6nGqG +ew2BDicX6DPOsMDubSKF/K9wP+LQ3pF5jgXeiIjqrcM2fKwmb3aRBdYHJIv7 +1uL/f9U++SecBcpqH7go9ZpAMeXm99Ki8Ocs/Qsd2Hn8fSp7brDAp5v1E8Lq +CFQa+CybkcgC0UrcLjWE57dsfqaCOyzQZ2hUaABbOXDLXpd0fB5Wrmtx9Xie +mtoXKpiN96OancOoAc/nqnn3Wh+zwLVXhNoUtlZQYE5kMV5/wdw34w2BCnWW +7huVs8C73BwdVo04vhcvRpBVLDCp1sZ8BTvzrJbDy9cskKfH4FtJE67nV71l +LjayQE+l/iTXZgJFbDvyZXsbC0zMNvLgf0sgIeQYS+tmgek6V/fXY3OHP1Rv ++cgC9/5Gjv4tuD8xh7UmfmGB2l0cEXKtBLrAo+N8+AeOB67Apl5snThcj0dZ +4PkuMaVrbTg+sz3PLEyyQI3DXHnb3hGo7PHZv80zLJCT2dN4DFtZ6YbvPQY+ +L1ndpfvt+H48vDJ5eoUF1sin9Vh2EOj55/U+Jiys0CXxSctKx//zUff3ek5W +GDJ97suzTgKdvJThvcjHCjd8Xcft2YU/t8ib7BFhhcP0R04i3QRSjX8UWCbJ +CtM26b59i80T8I/lliwrrBP8ceDie1yfvH6kBSqxwpr7r0jVD7i+rOs0dFJj +hXGl3+u/Y2sGC/wCWqww6YD74+QeHC+N9HRlfVZofc2h0LQXz6ehnK7CO1mh +w4mvHQxsxxMXNWmmrDB+Ewtf0UcC1WQ9F/i7F3/ONHrGtY9AE5HrWX5Ys0Jn +kD4l2I/nk9f8HL0HWaHOTsMbzdiT1vOyrc74fU5/Mb/4CdeX6+rWyIMVLu9O +kVP/jPOffePtl96ssNMjTGoIm7dJd6biDP7/AyV6d/4jkCfHR++yc6zwXscO +/71fCBQZ7EWWXmSFu1PM3q1gn+E9+KT8MisUDhzYVf4V54Ms/7nKa/j3ByW/ +Hh8g0DYvJtfaOFa4R0UsZf03nG+TaT5NyaxwcWHi5HvsUEWr1K5UVjjaXuJ5 +7TvOz1/RY18yWaH2x+AQw0FcvzzqXMdzWaG6pUf5X2y6rvcSWcAKIy5e4cr7 +QaCzHgzEU8oKm17MXTk8hOcZm9GSjZWsUOFs53qBn/g8Pxe/1a9lhfeVlfua +sef0mrlt37BC8syGZ6HD+L4jVRR+ppUVBv14U7B1BPeLJ19l47pYYYKuTvNv +7CCvvrnCj6xQQCuW6cEvAmU7ipMdX1ihzPMvrvajuN8QilozP1ihXLrxN67f ++Px0Ih+K/WaFD6b6wxqwD/o/NYPTrDCmomLHhTFcn5O15U/NsUI634yM5jiB +uOZSDe+RrHBIK19+FHuL/7H4ljVW+Onk7J7MCVwvTshLkXQ6jOQaT7SfxP28 +0n1SjYcOP4TlEdxTBLr8uoD0FKLDvcbGVxuxS73i96aL06H7WJ9m6DR+XumM +gT5pOqTEL61q/cH5NuT9XEiRDidjDvydwPbWieqxUaVD2SUf5ty/BDJWidZP +2UqHos7Des7/CDTmyTrWr0eHIvH9icIzBLq4LvXnhp10WJ12hKsDu5Pjs4qX +KR2eSLv1JGoWzz9pnuiZBR0eqUn03jFHIAPU+2j5AB066/lZLGJ7sb37aulA +h34elgeezeN6l/bLK/MIHQo+2nnxxAKBVExbTWeO0uHtwKPNGxfx+qfWhew+ +SYfjxz7qfMXesCGA/eFZOoyXKG65zcD9keXaHyqIDrtM6OH7CXzfCl7c4niJ +DmMqKQcOEtf/c2ffV12lw5cWTw6+wRbMedAlcYMODzAUg8MofB89qKEenkSH +3U3JtduWcD6ndE2P3KXDkg90pRnsp7xbhPZn0qHN/syKomUCXVenZ1Tn0uHd +q+e8jq8QqJ6fOX5TIR3+fpe7feMq7v+xA6OppXRolL532wC2l7JVEVcVHSYG +RRxMXcPxqs81cPk1Xn/h6H1bGokevPkQwmikw6kP/Mx8TCRaTnKL9X9Hh7Xv +shLbsEu3BHD+eU+Hp+o1d11jJhHnfNvy6U90ePPRVwljFhJpLyh7/flGh47h +SHQFW1/czjRghA6jfRj61awkSuDlyyAm6JD1flbEeTqJTO03+kbO0KGE88fp +rWwkyjE6VMtD4N/zlkf8wQ6YCL6etkqHgwoHDYrYSeTsYPdxM50NKmt+ETvB +QSLXg1XZr7nZYHv3kQ2KnCSySA6ctRVig1N1y+Y/sfXvHGmdEGeDjl29qVlc +JFp8Z654TYYN/vq5xneEm0QR4WzcckpsUJf2oFiSB7//j8DQBjU2eFGv/exn +7AOcpy8c1WaDsOqR811eEh2nWlg4DNlga/3uM/Z8JGLOOS7zDLJB79IPeUL8 +JNr5bVOn4242eJt0o3/ALg2Z5qPvZ4N7FAVuJgqQSGhH+miFPRuc6Fkz2C9I +ok/fRA95ObNBjSYrfl4hEvXw73GT8GSDZ1tEeDqwhyLFWd+fYIPa9ee3xAmT +qGLonHmsHxtUr4oPsxAhkeT33cpmQWxw+G3IP851JLLeHFXEcokNzkg532zD +VomQ7Gm6ygafcew7ECuK9zt3NfP6DTYY8MfXaK8YiU4cVRK0TsbvbzV4gFOc +RLezYtXF77HB+We18W3Y+XvkFoYfsMH8TsW5WAkS7Ts25VOexwZHzxhEWkiS +eB4Yjb9azAbX/EX1udfj/b/Cf9Shgg3+ef9VrANbWfDUpHoNGxR7kC8bv4FE +u7auKLM3sEF2ngzb/VIk6gzpkBpuYYOBnn0l/NIkGikaam/oYoNHGee0PmCX +Fe3Wze1jg9kHUn/ckiHRtnhul5gBNvib5vbSXhafxy2jXb7DbHB/1US16Eb8 +vppT4w4TbHBwx+Ffn7F382gcNJ1hg5rnOw3T5Uh0g0s8Wptggzc8jtUckSfR +N7M34YprbPCTJDgmq0CideK7jSXZ2KHYx0v6w9gRGxq7BXnZoeMPqPdYkURP +tQ6q8YiwQ+aCfHcfJRLVREo7ca5nh6fL+56rbSKRd+guR045duiSNab9D/vo +4Kgqjwo7rNdg/l6hTCKfOu1+wS3s8LquSUWwCokuXLJzktRjh43FHRXbN5No +y38BVYo72WHQQzS4hs0+Xj+rbcYOy0x26DWp4vOR8+M1s2KHR74fr7muRqL/ +XMo4nezY4bbuIz771ElU3vt63O8wO/TPMDEV0iCRlGrns1gPdqg5aWD5CTsv +QNL18Ql26HfaMzxDk0RvlYcXm/3w91e+f/PYQqKTO73DxoLYIT3lg8+mrSSy +kRz/xxvODqVMXeSmsUMzSg5tu8YOq4yy2Su0SPRr4/Izj5vsMLD9jcRFbRJl +xUivJaaww1nnYUegQ6IxDQ/zhjR2eOyiYjNdF+cTTfj6QjY7nGgtcu3AjvW7 +9latgB02C91XTNlGoulwHlbvUnb4Xk9A8rAezqfG1V2PqtghJ9Ax2qhPos3e +L66N1LHDFhPlm2PYWpo3uza9ZYeZN/i5Sg1IpHlpSMa3kx0e9+OtDDbEn9uL +hlV9ZIfs58ySwHYSmbgk/GIZYIfvtny9x25EIvnRZ652w+xQz2O2uxtb6+/w +eN4EO/QZf6p7bweJLBXvxi7NsMO2Op137jtJFDahA+1Jdnh26Um8CiCRjNNW +gVIaB3zwXS1iFvvl7rUlPg4OmPj2d/YrSKJBq3Vs/vwckFl9ZTbKGOdn49SW +flEOKFmYfG7/LhKNdzJd3inNAQvp7+TFTUgU79w7W6DIAdtF21l+Yl9VHU4Q +V+eA0d+qhYtNSeTw4cXBGzoc8EnoK7sgMxKJV/fsXdvOAXP0FhqhOYkOqjad +CTbhgOv9bh7j3k2iRBuxplkLDrin8LFuP7aqoYu1vy0HdIn30cveQ6J/A4pC +c04c8Mpvyuf0XhJJy3DxX/DggME5EZ16FiRq/ZS9h+bDAfneyXqyWOL4/Hi9 +Ie4sB5xIYlLuxt42cCRM8gIHvGixVybdCp9/5ZvQ4ssc0Oms9B7vfSS6pu7y +xjiGAxakPsnR3k+in0I9tl8SOODrSG5NmjWJKNNuzaC7HJCD03+6A3umnMll +3QMOSBmufbt/gETmHpJfqvI4IKvBN5q3DYku+XYWHynhgMdstQ7p2JKoWayn +n+0FB2xiKH5nsiOR7eufhytqOWD668F73diXftduP9rEAX8eiYnOtCfRdsuN +YaIdHJDrpemTUwdJ9LerV7qzlwPO9YIlg0M4HhLTlWK+ckCL3odXOBxIFDi8 +667pMAec5kja8Qnb6mjqWfokBzwwrqv22JFE5ITPy7ZZDniL/9X+804ksn+Y +cDaZ4oCP9fbkmR4m0SpjIN2FmRPOWrFtEXEmkV6N5g5VLk546bD032HsYXYv +hxVBThh1q/pnhQuut26u0z0SnNDPjok76giO91wac/FGTii/XuaEvSvO9/U6 +966rcMLPKUaUghuuBxEj5Se2csJDiVcbFrDdKdpBKwNOeJUuXffWHZ/X5rBI +bWNOaLFu279UD1yv1K22S+/lhJvZFh18PEm0Me/kNR4bTnjT6vqC4VESibz8 +6LnqyAm9L4u18Rwj0bn1cf1z7pyQ7tnV8x37geit4akTnDDl+yehMi8SMcXO +3Bw/ywn3s7nFXj1Oout/n/eNX+CE09KJ2w554/58crJ+OoITnruRIqlyAteT +N09sFq5zQpavqbrL2IW+tDhaMifsbG+J6fbB55nGf5b/Pif8bmYtmHsS9wPV +ORa5bE444XC4J+gU7o9vO/bqF3DCZaN17Ran8fn1NZjalnFC/iPFS9JnSNSX +sMTwq+aEC5ZWx+awjxKPjyc3cEKe5o30Vl/cj//Np1S2ccIdT52+Z/iRiKEl +eXXwAyfsk9v4z/8siVqOWOvxfOGE1z3yDHf743mBeF9h9JMTMr4L120IwP04 +dHDp7AQn7FJLC5nFjrFDQgWznFBI9PjZ1nMkqht7uTRCccLK23lZDwJJlPFY +vEaBhQuatEZznD9Posc0TZsT3FywdFWvyDII16OLB5qeCXPBm7W/Y+SCSWSY +3ye6tJ4LVpQ0PSCxf8P1VhYKXHB74crf9xdItF7iinemGhesrW8Izb9Iov2a +fqfndbhgiRLcFRGC56cyS1frHVzwjmW+iWMo7oes1+BTMy4Y2KASsSWMRCst +N0UF93PBH7bzDI5LJCoY+jwcfIgL7iH0ioawYcRw0U9XLnhgQCGtJhzHj4Jq +gI03F9zsNNmUcplEgo+1DJv8uGD9/CvVMxEkqtoRyb79Ahfs82/pMo8kkVls +zrcXEfjzqp1PZa+QSPa2Ur1OLBfcOGX7jsI2/Z5dXpXMBVucdOX7ruL8Plry +cmcaFzweK1b9LIpE77NH+9pyuKCXpurNG9dwPcz5y+tUxAUfaudkeEWTaH7N +99hUBX6el08nYAyJwqf5v12t5YLu9KtBG66TSA1cCZVp5oL78m0ggS3kH2KC +OrngpP2+PR9jSfT1aZn+0X4uuH8hP6H0BolSv/5y5R7kgtqFqcLxcbh+3P+v +uuo3F9TrtfrkcxPXxwP2+07844KzM0v/mcfjedhATkqK5ILZHZ/XKySQKMlT +RL2fiRtudRTLZErE8V1Fi0zh4obdbZNHBrGduN9sOCjMDatCbri+TsLzrKw+ +6/oN3FCDVzkrPRnv17Pd238pcMMbtqRMyC0SHfH70lyhzg3dDmkPOabg+JEZ +fBK9jRuO2XEP690m0c2Evb+OAG6Y11GpKHYH9/scoSsGe/D6vqcKFrF3H9W/ +ImHDDcFmN9/+u3h9Wt34ihM3ZJNtDaxMxfnztah21JMb+j0bqL17j0REMv9a +7yluyOLXax58H58/8/Lz5kBueEd3WMgxDdcDx9ifry5xw2UOk40G6SQqEu6L +q4zmhrsMNgdIZpBISZj5xYtEbmhs/p6+jB2Uru9ZfY8bbp88PfAtk0T3PR6n +NmRzwyAF/UX0gERvUsKdugrxfmw5aZeTRaLgn2TRYAU3PBq8fT7qIe5nNw6l +LNRyw8xnI5+9s0kEXD4LC7zlhrdaHjBZ5pBIrq11q2Y3N2SdzPHVyMXxNB40 +Y/uZG45Hb5YVekQirhg9h9Ahbqhi5Ce6iO2p7OWdP8ENpxmFNl/ycD8Td1f6 +MscNnQfFeuoe4/obkHBPYIUbyjr9S819QqK2zS5vLNl44BiXX+71fBJli23P +j+PngbWDXfNnCnB/XM3Z/16cB+qtWty0K8T1NE2wRkKOB75rkT5pUESiF0Vc +f71VeSD39LUEmWJc35bEZmt0eKCscy1JL8Hz5em2FqGdPDARrBZNYb9cex7o +t5sHenJez+t9iuejX0Er7w/wwFvBd0drnpHI8UrZcb3DPNAu+LhfTimJ6i/x +vsg5ygPnrXThjTISCbcbTAud4YFKftApoBzPey8mha8H8cCOsuaawxU4Hse/ +qzNH8MAFSRYvk+ck6r/SByJjeeC2xW2Oai9I9Hrdvf30FB74ciDr9rpKXM9q +FlwTMvD65WGSa9gpEk3nNzzmgevv8UyMVeF4DBpMffaMB7pTCSy9L0nkUbv5 +3e5qHnghycT7dTWuP9cTBX+94YGmNifX5dfgeUlvNSCmgwe2RJnwpbwiEf3f +mTmNfvz9V/y24bW4nj4bSP06yAOTmvmHfF6TKNPB2it+nAfmfop6dbCORAOV +H9xN53jg0v7SIWNEool7QYm0FR64brLXTqMex+97h8UGNl6Ynb9VaH0Dvk+Y +3027LsALZ4e4pTje4P7FcjjSXpIXtm7NC1zA1tjZ80xRgRfGhUCJ4UY8X/vo +qi6r80IuQpb7QxPOn50NxCc9XiildcMCNeN5oLNGqtqYF+LW/KnkLZ4HYnyz +six5odN5toqMFny++7dcjTvICx15cgbiWkkUGencFebGC10TP9mHtuF6z2kX +fc6HFwazTa0/9Y5EO3wiS/3O8cLb3xS0nNtJ1NHqaOt/iRf+19SSatlBIje6 +nf+FGF74tU1yn1EnPs+6GaFrybywy+iYrXoXvu8drTNKTeeFgR8nnkh34/8z +sZh/mscLC+IX9gm8x/0yTQN0POOFeqjdlPkDvm/k8Mj/reaFGcIvbs5jo4z4 +PLEmXigYTSr+7iGR76hnh1kXL1z0HxL40ovrLat55sXPvFAz4sW+zo8kelZB +SFX85IW5ZXUD9X0kMmaY2s9O8UIhd/O65/0kmlVeMdNj8ELarruz+Z/wvMO+ +TEQy8UHLY8TFzM94Pm5TONfDzQd3KVTZ3/qPRDxKR2uURfngdTOpqzFfcH6d +KfoYJcsH/305T7/0FcdjCtUyupkP1h3jGQgYIFGJ8aG0/bp8kPuhGrvPNzw/ +j3bY1AI++LRVLsbtO65Hb8/Pa1rwQX/37S6HBnH+8vlfL7DH/7e/MXrfD9y/ +h34Lq7jxwaFednazITwPnObJfOrDB2PuHfpm9BPff+YkNhsG8kHe9BVO3WES +/Rizb2gP54MyJpbx6iO4vxFcPkdj+aC8ZYK30i98H5BO2cR0mw+e+rHuvswo +3o/n+1jyHvDB0uitchK/8XlGP2K2LuCDHHJbWYTH8O9/camtVfDByrVjRrzj +JGqqXLn2oo4PLvRJdbFP4PViWMQC2vjgmaril8yT+PvZxb90PvJB2rqjyyvY +WZIpxMp3Pjj/36375BS+P48fPtQ5zgd5LBKSFqbxfMAoo+fO80Ex3vyhmT8k +itM7wHt5jQ+G79KO//MX518F45wHFz8ccL+aMvkPz1ePAvEsyA/N7Kfmx2ZI +JBCdedFAlh+u+r8pG50l0YdNdkqaqvyw0Pfwu5E5/P+NEftUt/HDynBOMDxP +olyhDYvqxvywXk1R4OcCidZcFTfpWfHDsissO4cWSaSf/uS3uQM/7P5Dtf5g +kEg06OXOI578MMXas+wHQaJXfhe0Q87ww2FGEuMHSSLFv0KdmRf44daH39OH +KHzeDnVCrVf5YWJI7oOfS3gek67lJhP4obSqPm1kmUSTQ45oSxo/lG9eqP+1 +QqLqsCkdvzx+GNqtO/R7Ffc7mS/nnpfyw3JjW4+JNRJt8Eq6Sqvlh2J384yn +aRRSOhV7yq6FH3YV3bjyj4lCib8ttEt6+CH3oIvCPDOFbsLjP3m/88N0jgub +CBYKfc+9EHF+nB/OBurfXGalULK06rqReX64Mk7ZMrFR6NRhiY9qNAFI5mwI +Y2OnkNCOfNlJugA857HEzsNBoa6PyvPF3AIw5dDCoiAnhYwGY2wDBAWgiaHP +XnEuCt01fwm2iwnAs/qVa9LcFNLWqEDsUgJQk8NIUomHQgJrwf2f5ATgZPfh +++q8FHobyHO9SFkADhmfu6TLR6H9hWGfr2gIwJC40bc7+CmkvOlr+xEdAZh6 +XDTIXIBC/lPwuJGhAFSjecVZC1JI9UpnkTQUgLZ8uuxOQhR6xfrkIau5ALT+ +Mj7uKUyhAC1qzx9LAcgr9Vv7jAiFNC5S+V9tBKC8cvKv4HUUgqw/mzocBKDw +O6u1K6IUcnk387DhiADMcLscmSBGoZx0f+OaowKQ6Eg4nSZOIeYtpYWVPgIw +69pQ/WMJCp3WZRmq9BOAu8O+h1dIUijKtWWs5rwAfGA8/bh+PYW0/N3fvgkV +gLmT5w26NlAo7KBBeFekAGxdP7RtQIpCJxSaRL7HCMCH7PeyJqQpZKwXkjAT +LwDvBbMGkjIUqt828JfjtgB0b056zrGRQkmbA3YopOHff33iIS5HoeLr7aEm +DwXghM6LUGV5CnmaXX52/LEAfD6mwGKgQKHln6rf4osF4Inio8ReRQrNRAZz +VpcLwMUX352dlSgkPMNvMPZSALaNsmic2UShideFZ9cjAbjjtbHfZWUK2ZjR +X9g2C0B2Y3bZWyoU2tQ0wpXQLgCZpZpg3mYKbTghGtz5QQBy5I59eKlKoT/u +fqsCn/HnVb96O9QodHWmI8/xuwD8M6a2e0idQq6RIgGPRgQgj8cWtUUNCpk9 +1T4xPyEApX55XuXeQiHyiGz8nhkB+OqP3r6NWymk+P7zr4cMAVhyU/6GnhaF +XpYeDV5ZEYAfL6YZ7temUKfKe3NXVkFYIiHk5qVDodeLuk6NXILwchCNCNOl +0JWgFxVqgoKwHw7Q72yj0JO6YOc0MUF4YXBDbIkehW48fXqQR1oQDjsaXnmr +T6FY5jtPrigIwkvHSmYGDSj02Nv30MpmQfjF9+8n0pBCcokx3mFbBeFcXIiu +iBGFbu3a9mNNTxCmJrRxae6g0I/g/5pjdgpCthkHR4udFGry+k9KxEwQ9v3M +lj4OKGRy78n0I0tBuHW/gusVSKHLdGRoaCsIn/a7iGUZ4/eRe8T10VEQnulr +s6jdRaEv5IhngJsg1Do0QfxnQiGwU2LvuuOC0H3LTjnClEKCR3++qT0tCGP+ +mrWImlNotnSy78Q5QZj/5cqY7m58Xi4TMRIhgnCJCoo+uIdCEumZ37siBGGz +cl72+b34+Wq7Bq/HCELhP0mGdy3w8wOb5N0JgvBaZp1NlSWFRseZSa47gjDH +ruL3ZysKXfjevqE3XRDSVueXqX0U4qx6wPwwRxAaGHPdkrKmUGPahVL/AkH4 +617IE3iAQs8OeajtKRWEA2ZdO47ZUEgv6FSYfJUgVPVJOHjdlkJtzs8fs9QJ +wsyfpn+L7fD7Oh0rG2vC++saxt1jTyHRjqc5Pe2CcC2gvpBxkEK8W3siGnoE +4d/LmZ1SDhT6bCJu++I/QRhe8zDQ1JFCB0X7Nzz9IQidVB0fnnLC+aV6+nfR +b0F4sN7WJuUwhXqTzV8+/SMIT1vIXn/lTCGZtYE7lQuCcMjNxmzEhUKtE+XR +jcuCUO5GcCyvK4UkCx2S+1iEYKWu4kE9N1z/4o7XTnEJQdPi6XwPd5wf89F8 +nEJCUHWd17WbHhSKDDmdsFlCCFomyU5WeVLoEOunXTayQjBWtvLL8FEKcYzc +0rq0SQhuKa61F/DC8bpw4dhTDSH4mavDacdxClm+9h0c0RWCf/gvTZz0ppBT +1PFC2R1C8GyAD/v9ExSiXXTr8DAVgh1fVMtafHA8d3hZ5VsKwdNzbmOLJ/H+ +9t7aOm8rBIMP5JQonabQUzneq2aHhaB2YhKTwxmcbxUcezI8hGCKQdtIjC+F +/NbexhAnhODUl0mHaj8K/aeQuvfwWSEYwXffefIsfn56/+2GYCE4bx/wTyqA +Qr4n/pzVuCwEH+yTFLM5RyExKadfD6OFoFu8zvuoQLxfGzJJ8QT8+yqvDdXn +cf0stH5x944Q/HjNbnk6iELul0RkJTOFYFP+o7PyFyjU8TXTOPeREFT8Rwtx +ukghi6bijVrFQlBjl6BEUgiFDgsItr6twO9/+fL+llAK2d8vMPJ4hf+/aVFy +LYxCWUeOxTA1CsF+DfnLeuE43h/vLH3yTgiiubLQs5cplKlmhux6hOBwuI1g +YQTOD+PbtfQvQjDQrAyOROLnXXAofT0kBEuGI7lkrlLovWFHTui4EPTWPO93 +OIpC6ut2ZIAZIVjItfPs3WsU2lfLlsdJCsGc20m8vdE4/lvuNP9HE4ZpwnJ7 +BK5TyM7em62UQxiW0Qpk98dSaJsu59mbAsKQnftb6s0bFJIWk+T2E8dmC37a +HofP5+neHw6ywvCE3FYv7nh8/sOOhLmyMDz58G2tZQKFeJYkXIy2CMOe9fMv +biZSiPH2rIi+vjBs9wq26UqiUMJ7282GUBhGpfMnCdyiUHp0y+Nde4Qhl/il +ALsUCq0/PXbL5oAwzLkaSd69jfuT+RDjuKMw9Pw4qPj1Du7f+/59v+IuDPvt +XQiZVNwPnY7b5J0QhsV3a/297uF5Yd0Tx66zwvB4bMutovsUqt2qsrpyQRgW +XjBzmU2jkHlSkKVOpDBU5qJ1G2TgeAlTs/CPFYY82m8mIzMptPhlieVFsjCu +p44V7x7g/uJacGXtvjAUO5mkJPIQn0ct7/sDOcLw7AUDc9dsnM8/1i3mFwpD +Vh0F4YIcCpXJNa6yVwjDkVy5hPlcnA+XVOfPvBKGyQ4cL2EehUybL/740igM +b1gWJsc/xu/7Y7pzf4cwjF38vv7rEwqJrwy8bfsoDIFJuINKAa5/XWV9lt+E +IUuFh9mFQty/G6ZY+34JQ1NwbLSliEJSRgpuXn+Eof8pz+3iJRQq6GP9u7wo +DDdaGpr5PMXzRYoNSl8ThkdD21lfPcP1aNPIF2MOEZikywjhLcP9QaXE6q+A +CKzc/TDfvZxCqYefyzySEIEvRIsSnldQyPGnuJu7nAhsrlpR53yB9zNeUFRB +VQTe/nA5xrUSz2OC09Z/tUUgrJTMeF6F5zdLIfE3RiLw+6nq09zVFJK9RgvJ +MBOB/+XvoTxrcDxUWkeG7xeBAd2VZq9e4f7SWWpwwgGvR8xZi7ymEN/09FMn +dxEYyj0r4VuH+1XNxJStjwi0zHz0qBXhfHn4aM0uQASWizLNyDfg9UW151xC +RSCVvbp2+Q2F/k639J6JEoFnde72DDTi/pD6rCQ6XgTSS974GDbj/A6wiX9y +VwSW5Ea8vfeWQkUiWy6/zxKBfI+7xhkteH/TxhOZCvDzCJR8dGij0MqcXodh +uQh8ZSh9/eU7CoXrzMCwVyIw3ESJLtmB57+f7EvNTSLw39F2q7BOCjnviWMX +7xKBh8rWuQ92Uaiu9cm5gE8icMqQH5q8x/G75YlV3w8RyCXSNP3kA34f7pks +OCECJ1x3neTtpZD+Elfo8zkReEkjrfLcRwpl8N2f3LIiAjmef+v90keheHHX +tRds6+AP/Y2Nuz7heYHLqMlEYB3UFQy9VvQZ9xNrnT1f/ldilYdT9b1fUSpJ +g+7gurjXPM+KCm8aRClCoYiUoVCSSipUIkmkMnwUkjRSylh5oxApiUTGDJWi +Ugr3nHN9z+/57f/28+xh7bXWu/YrwwDTF2JcxkcBaqv5pYUpMcDi6/uYiA4B +4nSZGr4OA7RXSNV/6xTgxuGbne8WM2BP86v+zd00/ub07/HAgNx6vdbnPTQ+ +0eRp9rYMOHDJ/ZrBJwEeOLhFh+vEgKbmIzZZfbTe1m+PjbozYG1cQcO8AQEO +z5kl+taXAdbjKjqRgwL0Au26kmAGfMuQCBj9TOt9/1zfzXAG6J6Mj/P+KsDr +PVnuOdEM2D7ceaZ1SIC1B4U2eecZ4HhBb4/tdwHOK/AueZTGgIrL5Xo4TPff +lYVFr3JofOeK24x/0P2/yx+n4XsMYFzy8L3zU4A2wk25zFIGDC/51ak4KkCT +iyoltlUMiD97Z+l/vwVYXD2YHtvAgIzVzVGLxgT4KcLE620rA2xz7j5M+Ev3 +57u7OYqfGHA8KqJp9jiNz/Nd27HvDHjndbkzekKA/r+07vb/ZQD/oEWrqIDO +r/e6NxxFmNCaW4uRBO2f8LVtryWYcP3EqfQpUoBjx+Y7bWIwISWg3jdCKECB +jo3WJwUm9KWNqouIEHiG2bv3iCYTZpNOPVHTCFSP/mEkb8IEtv+m+OliBLpK +l59psGTC2TRbg9jpBJ4yLDoZbcsED9PsRklxArnlEcY2zkxwbXnid2EmgQ8O +fclneTLh7R9xIXs2gTqVX2eM7maC2vLhxCwJAltmF6x/H8qEijWdihqSBF47 +fOnyi0gmDFbbFBXOJfBxlNp4xVkm+MXetjGfR9D9N//Ei8tMOJpw6NPL+QSm +bwte9z6bCQOzdI47LyRQhrvEd/QuE+7Z2vL7pQkMuFg9xC5lQiHl0BDMIPDH +rJwv654zQShfHzmNRWBv85nQuDdMqBlaBhfYBF5a4H+zpZ0JxuLGksocAkXs +dl3SHGSCXoLV52JZAm302x3ifzFhIylotJWjz1+y+c8kwYT1O8bqe+QJXLUr +93zITBbkmNS1hfIIFKNql08uZMG3ayxCUpHAN8sn5p+VZ8GWnVFGuUoEhnBv +K2posiCu685JCxUC26TiY5tNWOCiDCNtqjTfNTGucStYUDX3e/ABdXo/WXXX +zo4Fplbu0gs0CdSwyEqTc2VBud665nwtApuLcYlgJwv0VAMf2ukQuGKGSGb/ +PhakH48oGtEl8KtUxJf2oyxQ32HVkaBPYG5bukZXLAseKB1RNTAk8NmO38dG +LrKAju3UFiMC82J9KIlsFrBPBxqHmRA40c+pNLnHggiLGoH8EgJ/PzzYF1jG +gprpb0aqTQnsqlUJf1jNgoFf7vOClhJoHSSTK/6OBTeCHL1YywmM8z1zxLeb +BeCQOFhpTvujc4zR+o0Fua8EVwItCdRzU7qwaZwFc9KPxXNWEPikUUWiS4wN +NydnPnxpReCM5C1pofPZEFd1TvrwKgI3+m3fypVjw8+gmffV1xC4KUE/oEmD +DTlL98d9tCZwQ+OcrxcXs0Fc6e31czYEfr4c+d1nJRsmvqtNs1pH3ycZlGxt +zwaTddHZ4+vp8w2mU4vd2fDt80RM/gYCI8SrV5vsZgN7b2qxjz2Bj4qiz1od +YsN49nE93ia6Xir2DnucYoOl06uxj44EymuJxsQlsaE7K2dWijOBEnULj1Rf +pfEIDAKdthCIvo0D8+6yIVXkhrK0K4ENXPzsX8aGJ93GBs1uBMaee57ZXMOG +kxoyly5uI/CLBUffroUNFxYlb9riQev93b209RMb7u/6ukfWk0C3rhjXfT/Z +MC1lZ3+vF4H3HEeNORQbVo64PM7zJnDBF6eAFgkZUE3i/tu7i8ByQSM/ky0D +Ww9LXjbzJdDMYODQEVUZWFB59sp0fwLDvh5O8jGWgZRLYvOadhP46klnkreV +DIwb9g9fDSDQUbo2I9heBnx1ssyCgmg/3XZtTfSQgT17isct9tH1b6LoXRkg +Aydtb2os2E8g45+sn1i4DAzGCJsGQmi9Ax5IbDkjA4oZa/+UhRIoJVqx70mK +DMxK4yYmHiLwYOX5Z0Y3ZKB/J+uOXxidF+wh3tNHMnChsnONVTiBpVdEy1ye +y0CpG8tH7hiBkwPx98XfyYDN5OE5guMEZjsX6tX2ysDfq+VmbZEEzp4nsz39 +pwwwvTP+lJwg8GrzgG+kUAaq2geXpZ0i8LSwNCRsLgeOCHcxjp4msCOq/G40 +lwP2+/6c8Iwl0OhnknmuFgfMvAJi1sTReRcX6NC2lAMXu4tVdOMJvOUjtkjB +lgOSnc88WQl0fsQnPwhz5YChYeQy0UTafzrfNn/140Dt+O/SH0kEdnZ7Gew5 +zAHePoXOzmQCtw4MBonGcmDUctHNhku0PlFj5vkpHKg68lWhIoXW3y37dVAe +fX/T4zUP0gjc3ZNit6qEA1R+scKN/wh8WSn3Q7eWAzk7JPIzrtB8hDN6dT9w +wEB2dOxiJoFBvSLOq75wYI1V/nhCNoFlpWIRe8c5kOSRUBaXQ+C04M+J92fK +wvHTX8xjcwkcaGJXzGTLgo+GTGxMHoEHXj5aGqouC8aB8f/F3iJw+fKoZZOm +svDG7lH42TsEto6N/U22kYVrz+dqJ94jEBLMsla7yUJ9g8L9ywW0X47qBkvt +kQWH++FzMh8QWKUQkPUjXBYKDJ+uuPWQwKdDa3w+x8sCxsRtLioi0DTpHfH3 +iiyMvLho97yE1s91MF2uQBZYT1M0m8sINPaTPe7+TBbEzrqNDjwm0MnoY29R +kyzMW12QO/GUwG2TjlOq/bLw+nrIOqlndH47nmU+GJOFne8TP6tU0fP3m3c6 +iXNBs5c4YvmCQJ/anWoL2FxYXFYkubWGrudfFplfNLhQcehV5uGXND+hGyTb +lnGhKH6zaWo9zf/rnoI+Oy5c/n30Y1kD/V81qTbM9OTCwuDguK43BKZ2WF23 +3s+FFxkh68WaCFwpsvLotVNc6F3zVlmrmcART800dgoXDHI+sZzfEzh0cQxu +3+KCe/A8zagPBNprp5dvecKFw8satxe0E1izjrGB38gFs/TrT3s66P94p8+q +mX1c2ODJX7uwm85jsbQvs/9y4UvdoJh1L4FTL16e0JglB0yR7L/H+ghM2ay6 +w0dWDuTmLVAsGSBQLZd890xXDsrUxRJ+fyZQi1esZGYlB/6znSz0hwj0lO/L +aXSWgxcGv5bs+06v37H0+il/OahTbokoHKH9VXHzoMsxObDNlJQd/0ngzp71 +QeuS5KD1b7GUxW8Cz+me6HHPlQMrl2meMWMEMgcGFRLL5ODzLK1Fzf/ofDZx +P933Wg6C357S508SaH5Hdo9znxws4QSXBxP0+zNvqQ39k4MJr50lLygaf883 +5tU58jB0blCbI0LitnCVSwd48uAlmcDbL0qiWvkskUATeXAOk0htmE6infmj +4hhbeRi8wUnTmEkizw5lqrfLg47qBY0zs0lc7wxnVULlgchw2fh9Don3E1qC +bsXJg8Kg/3x7KXp/e56GQ5Y8jLW17i+ZT+Kxl0cV5YrlQdWl+ihfmsRpfY8q +5zbIQ3/zPuMEBokiC1yDlfrkoeuSZhbFIpFlr3jFY0Ie2je41ezlkDh25kQh +SinA3IDj9wa4JMY8usezVlGAgz7a27YpkPhJJcfl7zIFsAxa0N7KJ3Gx2pLX +9ZsU4Fv+b00nZRJtq7l/av0VYPzFPZcWVRJf9/2EkUgFMLA089+iQeK7s5Z6 +y1IVwEI517tLi8SmhFTTwgIFqPaS3eijS6LqtsT2TbUKkKzRa/hbn0Qt3beJ +cj0K8KF4EzPKiMSco7yeheMKcCpvRER6MYkjHuU5aTN50HzMWpBnSq9/HJ6H +0jy4vl5aApaRSG44W0Eo8GBMh2/aYU6igdZLnQ3aPPje6REfBiSOU5bLSkx5 +sNylTUp2JX1erYnuktU88FlTWourSVz6TH3jGwce3P65Fn3Xkpju1/HlqAcP +GBlj1MJ1JF5odlu5cg8PlM3XxFfakTgoJ57PP8wDM8Vv+0PsSRSVuxzKjuZB +4aP8cnVHEk+vUhlSu8CDYm50wCdnEkNeLHG1z+RBmtiJpCsuJD7/9Jx14S4P +vNjdhu5bSSw8u/TwSBkPCqzGXXkeJB7VS2zcUUvfJ7Sf/8WT5q9h9YHfLTzo +trm0/YE3iY52+ysy+nggtfuSQ4QPib94DTN3/OLB/Nnrftn7kzhD8eEdKyEP +tha1rVYNIHHr86UzLSX5MPd93LapIBLnnjUO28LhQ+HdNovOYBI7OpbuiFfn +g/HyXeNPDpB4Y8ET5e7FfOjZKpKUfYjENb9nqNit5sPyTXnMuCMk1oc61LU7 +8kFu9enkg8doPr+9CTu1gw8egomFvpE0nsOFWXbBfAiQiM/aepLEW2IrbptE +8uFtC2XtdJrEiANd083P82HvH0uGwxnav4FM/s6rfDj05dCiTfEkZu16FHzn +Hh/MH4hs2nKexJ3mL/dIP+VDQ9uej54XSFxrWX46o4EPBkUnyoMukViV6brc +upMP3jXWU5GpJOaFDc9aNEzf/2e8KOU/En3Xwx4xkg8h5JzhwqskEqKPBxiS +ivCm06zgXTZdD6cDJtdxFcHZ4uDc8eskyn3m6d/QVoSa2f8W8W6SWD0vZKGK +uSJsL9NrsbtDorl+r3adnSLMte1yjcwnUa+gQyrZQxGMT1OPSh6QOPtjv+3J +vYrw/e37sT+PaP+ZpxxMj1SE54wxdZNSWv/yes32JEVw36zvFf6YxFXOWWKQ +owi/T+Tfq6kg8eLbq1mNjxRhfnivPKuK5p9Vfz22RhH8Z8RWB1TTeMKfFO9p +U4Tgj6WFtS9J7Gl/Fhn2TRGupnwcV2ug92eP3C8kFWHyx+0b5xpJ3NEKk6x5 +SnBKBpom3pHoN+fpvNt8JZj8KRHn30qikX9Mvr+xEihZtff3tJMoUSN+cYu1 +EohvbRvd2kViXbfYyQNuSvA3IaW2q5f2S3m9VWWgEnyaOyds1wCJ9jZ2mRZR +StDy7Rznzxdan1XW/iMXleD+/cFnp7/T/Pp5H3xzUwmMv6+K4v0ksVN6R3bf +EyVQWbAh+Nnv/6vfFfWaTUoQeoeZ5/OP5svHpzVvUAmS4zXNpAV0Pi2su+8m +UALC67xFDUVi1Cqe7ap5yiC8UfsmYhqFTiXz03YpK0OQc+s0mEHhYxv3dDRT +htBWq1/isylcaSnj4LhRGVqzuQ9bJClcdqyzhr9LGSY0prxvzafQrmNyjna4 +MnztZMhFL6LwU1bJkpAkZcg/wpv0ZVMobxPnN5GnDPY5h6Q3cSmMvu3w4kmF +MmTMWxC7kkehZFbq4cr3ymAWfypkuTKFb+w/lM8cUYbVjfP/LFenUGZp6cvE +6SpguDtLebU2hXO4nl/duSow7N6o6qxPoeWvUr99xioQrf+LHWhMYYnUs+y6 +9SogJ7VQ9pwpPb/7YWz3LhVITBTfULScQvFe2dfOx1WgMdK3eRAoXO30OPNs +igock7j6Wn41hSKfHYfnPlABxaqv2z1tKOQ5OZp316vAh0s78m/bUXgZtqkL +B1Rg6X6JbsqBPv9xwYa9UypQ4Fe/yG0zhYJL/7kbcVShLiMiDN0ozH8yIrXe +RBW8Tooa626ncOHnAI3H9qpwa75e4A1vCkM/bI46EaAKraMjG9T9KFxyeWAi +J5Zef8F8+qMACmVbWyL5uaqQXbmszCaYQlsRik1VqsKpV3r/DYVSqG346a1p +jyqIVl1sSz5C4dp0x5etpCp0jitnr42gMDFLVr+dowYKDwZUZp2i0M8u19bK +TA3yC3XT3sVSGBdQFrDIRQ3szjzTvXmOwuyfFkKHQ2qQlVMre+YChVYK4uHU +ZTWI+PzjcmgKhZP6V0NkStSgWS2wLTCDxjtgknDzgxo8NlrE2Z9N4ZUPMTH3 +JtRAeYtnyokbFO5b12ykxVGHM7diz2XeoVBfri9Cebk6xNkmLau7T7+/ibs/ +w0MdDrC29U0VUZiadE/rcpQ6vL/75MXKxzTfjIdDi3LVYS8rXu3SMwqPnjwl +zq1Th6qWpw5j1RRae88k8kfUYV1haLzXKwo/trM9mxZqQJmKglLXWxpP2Jxf +p001wPF2tLdvK4XOkstimz3oufePKyKdFHZ+LNF8HK0BonZGKrc+UfhjwRwR +q3sa4GbTs8HrC4WrJJiuAe81YLhxfYjGCIVeLlIPLIQaQJa9GJn2h/ZTWWrB +UzVNSPiaxf0+Qftn4QytHw6aYGcX5DUopOj+9Z7m+6OasJojzR+dLkQ3r+ND +h25qwgrh3+dSc4SobJ3V1tGiCYICtWKLBUIsObnlmrioFgQYn/eNYglRgSup +I9TTgsQx9voPckJsr425+tJDC/JNv3bQnxyevr97e0CCFoiln02u0BTi3bcd +8r8qtGCfismYvYEQX1SGtbr90oJjlX9PTiwRYr1J0puHitpgZUe+LrIQ4mj/ +1Wuim7UhOa9tx5nVQgwxVFqzMU4b1og/bwtZL0SJxDezr6E29L/++irUUYim +LKlssX/a0LPyafd5NyFyO0XUj+noQM4e+/IqLyEO8Hs02D46cObgHal5/kJc +k9uV152pAwePGieH7hPiY9NUXsdHHRi8wpo5fkiIjWrzU9ksXXj4o9TgYoQQ +b/HWZ11z0oVdZrr9djFC1P99c0d0si7khlWOKZ8XotT84Vuvm3WhSeuYDSdF +iA0VmiOxDD1QLKh6o5tJv280fWu1ix58vzBy1DtPiN1rdw0lXdGD6r5pLmUF +QuzafcFd2K8HytL++wxKhVh1JvX+XKY+XNd/2t/wjOa795s1tVQfbnfd6Iqv +E2LToYZVHzz1QSapPnX/OyEG1HmczI3Rh5hbr7ZHdAjxjm3Kwf0F+jAtYFfC +owH6fZbTjW3a9Ol6z7gg/UOI4peLIk1EDcDYWuLHlXEhJjbt6VmpYwDreq2X +OE+bwvBSo6woVwMITDgsu2zOFBJv00fJ0wYQ3y7Y7sCYwstiBX9eFBnATf6K +gTSFKXShRF8PDRoAO6w9h6k5hZm7JyuPsgzBbvGN0jrjKczj5mxItDWExRFO +7kWWU2jVELPSNMIQPm6T+tVhO4VORMXgmSJDuKoS9tdy8xQOXX+zMGPEEApD +xbgDXlPYUtbmF6NmBOp/kixfBU5h1qqSEB9vIzhglhw4ETaFV3yqepyzjUBO +KX4o6PQUFshxHx74ZATuK3QMDZOn8ItGdMKAkjEsixWduSaLnk+M/KvzM4b3 +Na1B+fem8NBi/Vvr7xuD+nh/xd7HU5g0kjOZIjCGw96j1xLqpnDlyrQVHdYm +4NAYrTq/bQo9H2i426aawI/EzTj5eQq/3dy8XH7YBObm6rk6/JvCYgsVw3L+ +YhD5//Hsf6wn8LY= "]]}}, {{}, {}}}, AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], Axes->{True, True}, @@ -6711,8 +11689,9 @@ pfhh2xpXk7w56C6d33B+8TLs8+bUMePXc3B6X3xFv85yzPj/77//A+4gh5I= 3.817666920031568*^9}, 3.817717344544537*^9, 3.817718092358396*^9, 3.8177181969386377`*^9, 3.8177185119133673`*^9, 3.817718668158907*^9, 3.818229624035777*^9, 3.818229672725284*^9, 3.8190213889956207`*^9, - 3.82575870929382*^9}, - CellLabel->"Out[18]=",ExpressionUUID->"c4e1303c-8b0e-4dbb-b0fa-408ffa6b6520"] + 3.82575870929382*^9, {3.826007834466917*^9, 3.826007854865335*^9}}, + CellLabel-> + "Out[130]=",ExpressionUUID->"11addea4-5f17-44f9-80f6-b7d15dd56efa"] }, Open ]], Cell[BoxData[ @@ -30114,906 +35093,3749 @@ Cell[BoxData[ SubscriptBox["H", "-"], TraditionalForm]}, BoxRatios->{1, 1, 0.4}, DisplayFunction->Identity, - FaceGrids->None, - FaceGridsStyle->Automatic, - ImageSize->{478.7522421044958, 452.368165020367}, - ImageSizeRaw->Automatic, - Lighting->{{"Ambient", - GrayLevel[0.5]}, {"Directional", - GrayLevel[0.5], - ImageScaled[{0, 2, 2}]}, {"Directional", - GrayLevel[0.5], - ImageScaled[{2, 2, 2}]}, {"Directional", - GrayLevel[0.5], - ImageScaled[{2, 0, 2}]}}, - PlotRange->{{-4.602112642270262, 2.217630397907264}, {-4.559285356128904, - 4.559285356128904}, Automatic}, + FaceGrids->None, + FaceGridsStyle->Automatic, + ImageSize->{478.7522421044958, 452.368165020367}, + ImageSizeRaw->Automatic, + Lighting->{{"Ambient", + GrayLevel[0.5]}, {"Directional", + GrayLevel[0.5], + ImageScaled[{0, 2, 2}]}, {"Directional", + GrayLevel[0.5], + ImageScaled[{2, 2, 2}]}, {"Directional", + GrayLevel[0.5], + ImageScaled[{2, 0, 2}]}}, + PlotRange->{{-4.602112642270262, 2.217630397907264}, {-4.559285356128904, + 4.559285356128904}, Automatic}, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.02]}, {0, 0}}, + Ticks->{Automatic, Automatic, Automatic}, + ViewPoint->{2.191826357682425, 0.6664688256175513, 2.4903245817058757`}, + ViewVertical->{-0.5702438624884033, -0.5676162000299144, + 0.5938297624386193}]], "Output", + CellChangeTimes->{3.819029598753941*^9, 3.819029712437339*^9, + 3.819029915252583*^9, 3.819030016824148*^9}, + CellLabel->"Out[87]=",ExpressionUUID->"c6c9c8e8-7cb0-4ad0-a6c6-fb0a70db55da"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ListPlot3D", "[", + RowBox[{"Flatten", "[", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"R", " ", + RowBox[{"t", "[", "#1", "]"}]}], "-", + RowBox[{"R", " ", "#3"}]}], ",", + RowBox[{ + RowBox[{ + SuperscriptBox["R", + RowBox[{"\[CapitalDelta]", "[", "2", "]"}]], + RowBox[{"h2", "[", "#1", "]"}]}], "-", + RowBox[{ + SuperscriptBox["R", + RowBox[{"\[CapitalDelta]", "[", "2", "]"}]], "#2"}]}], ",", + RowBox[{ + RowBox[{ + SuperscriptBox["R", + RowBox[{"\[CapitalDelta]", "[", "2", "]"}]], + RowBox[{"h2", "[", "#1", "]"}]}], "+", + RowBox[{ + SuperscriptBox["R", + RowBox[{"\[CapitalDelta]", "[", "2", "]"}]], "#2"}]}]}], + "}"}], "/.", "sol2"}], "/.", + RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], ")"}], "&"}], "@@@", + "EM\[Theta]2"}], ")"}], "/.", + RowBox[{"R", "\[Rule]", + RowBox[{"Range", "[", + RowBox[{"0.01", ",", "1", ",", "0.01"}], "]"}]}]}], ",", + RowBox[{"{", "1", "}"}]}], "]"}], "]"}]], "Input", + CellChangeTimes->{{3.819021988126603*^9, 3.819022137857568*^9}, { + 3.819022170506069*^9, 3.819022282412702*^9}, {3.8190223707428083`*^9, + 3.81902244172019*^9}, {3.819022480000938*^9, 3.819022501898999*^9}, { + 3.81902262904527*^9, 3.819022650595937*^9}, 3.819023085694929*^9}, + CellLabel->"In[51]:=",ExpressionUUID->"4355674b-0fd6-4516-8896-cd33a8476ab5"], + +Cell[BoxData["$Aborted"], "Output", + CellChangeTimes->{{3.819022065254901*^9, 3.8190220870412683`*^9}, { + 3.819022207596888*^9, 3.81902228293076*^9}, {3.819022400620535*^9, + 3.81902241317201*^9}, {3.819022617754589*^9, 3.819022643540184*^9}, + 3.8190227114934464`*^9, 3.819023161868698*^9}, + CellLabel->"Out[51]=",ExpressionUUID->"b8a18520-7b45-49b0-af16-64f6d0a9c819"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"ListPlot3D", "[", + RowBox[{"{", + RowBox[{",", + RowBox[{"PlotRange", "\[Rule]", "All"}]}]}]}], "]"}]], "Input", + CellChangeTimes->{{3.819021460212605*^9, 3.819021469579661*^9}, { + 3.819021588470067*^9, 3.819021590837883*^9}, {3.819021685295993*^9, + 3.819021713775837*^9}, {3.819021850562304*^9, + 3.819021858282761*^9}},ExpressionUUID->"ee6beea5-4d88-4650-837d-\ +58c8d3c6363b"], + +Cell[BoxData[ + GraphicsBox[{{}, + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.004583333333333334], + AbsoluteThickness[1.6], PointBox[CompressedData[" +1:eJw923VYFF8fBXALxUbBwlbsxlb02Iod2KKInWAXiiIqYjeiIiggGEhs77I7 +AiJISHc3LLG7IIr403fB7339x2cfYHbmzr3nc3Znpr+l1epdzZo0aeLbokmT +hv/Zv8th4YfGbuPht7c6bpnlSiToHDSf8P/XFqg8sXzkLO3rXxf2y44/2Ivd +s3emrfn/z60xuanTHivt63MGPgtzzx5HoTwi/v7/f/807tek9JFrX58pHTxO +970N5t26u0j9/7+/iPwCycqRFjyYZK+49eSwHTzCuk22smDbs8fcU1vrxdrX +EtN2zUZcu4rpbjNetNvOtu+Aifs299qjfT2NF3ZS/tIR5jvXng7fzt7vJsKc +Od/xljyI+lxRrhLdRsW1YZ89LNn730W/ngb8vjt4eB7Sz/fo3nvQE9Xbuu1g ++3Mf2yavGTRiJw/pdY1viMHF9u6ynWz/HsLrhub32l089ByTadTy0iPUbvs+ +6scutr+Pcbtr1iTX3Txs2jm9YYswTqvpumoP238nuC4/E9V6Lw/OTxv/Yf29 +Vxu/7mXH44zD015K7u/jITX6x5p8j2ewN39UZbmfHd9zODm++jHtAA89Wqzr +MMr/Beqi02MND7LjdYGpYNn5Zod42DC1cYM4v+T3T/UhdvyuyOuRP7f0MA9L +J1+fbVHoiqmjv28psWLj4Yasbr3nVlnzUL6qYYtuSCo1+f7fETY+r9DRZPRR +g2M83DhYXO+tfoVXI4NExsfZeL3Gb4tPXzac4GHEta7aQ3iNGa3KX1w9ycbP +HXbJdVNlp3iIcJsvqP7PHfO7ODvXnWbj6YFPd4/JZ57l4YB2tLq38MQ2LyP3 +G+fY+Hpi5OK5i3NseGiT/Np6Rps3MP++5aPJBTbeb5AirY11teXhbcPh6nlB +MfeWb7tLbPy90CH8oelFOx4WN2yuqzfQ98yz+svsfHij2v+F+4UrPJQ1DHev +t/C+Yb6j9TV2ft7i4rK2Sc8ceGgYvZgB76Cepv410ZGdr3dwmbQqJvkGD8O2 +3An6PvQ9ZnzeaXbpFjt/77Gro/kV4zs8hGu3ZjjmA07nW25X3mXn8wNeCB8X +vbvPw757FTaY6APeOz394w/Z+fXB2hs5BXMf86DdOe0hf4TyW/tNPZ3Y+f4I +/qsn1r+e8mCmnTzaU4qirOODc5+x8++LBP2HZ7694MFdO3rJr33R81r6ns8v +2XzwRfKkYVVBbjzU/JdwunSwH/LSV7cPe83mhx96lw/iEjx4mNc4AfwgfL5H +p/QNmy9+uFqQkNbiLQ8PuzceEI5fGDBz6Hs2f/yRpvw9co0PD/92zx9VJ3U9 +rviy+eSP+RNzXyv8eRjf+C8Aa9v0HNKUz+ZXADTes0cuFvJwmfuqnUEBqHRO +8XUWs/kWAM+pm/01Uh7itWdfOybwlZiMXi1n84+HC6NK+os5HgY2bpCH9rac +45BgNh+188am3+4Xn3k4trfhBPDhnbTJzzCMzU8+ZgyU7Hv5lYfg70O1Z5iP +KbkXb46IYvNVgPqzpV0V33jQ/7eDmGs6uOWmODZ/BRj+ePv63wk8NO5dmACt +XANbeSaz+SyE9XMzg/VpPPi/qHoTukQISKec7ZjJ5rcQj4cdn/Qtm4dmjQcs +RK1B6wWP89h8F2G9j9pjZyEPq/9NGJiO6rdmWgmb/yL0jb+wuJuSh1cNh5sg +Qs/KKof6CrYexOBnLGtbrOJB07C5DWIE6x2ITq1m60OMjM6dv8XX8jCnYfqn +i/Hwik6bxDq2XiTIHdrEJvM3D/cbpu9WCfZn8vpX/GXrR4L6N9E/mjfnI/ds +wwmRoJan+tW/JZ/WkxQBmwVDFrbmY1zjBJei84CAs8fa8Wl9SfFTcVTl2ZGP +S4/maqeMFKkDzlzJ7cyn9SbD3CNzJg3sykfsgMYTjDsd5v490INP608Ga5fi +DGkvPvo3pH+FDI91H0V07sen9RiIYzZeX6wH8nGkYXlYByLj+KmoxMF8Wp/a +19IVqbOH8/Gp4exWB2Lv4VPFvFF8Wq9yGDcZVTN6HB+d/i1InMeb+o8T+LR+ +5ajd0OXX5Cl8NA5fnRyP012UodP5tJ4VuCbbEblFO+8ad89GgT6bbZzq5vBp +fSvA2dctebGAj3+acyg5XZC3cDGf1juHcRUzN9Yt48MrdIl2RXNY0an5O79V +fFr/HKY8GJhgvZaPldrV2Pkyh76vb8RM2sinPODg86PP8+bmfPxs0CeEQ884 +sXGyBZ/ygcOqZuPu+u3kw9WwYUF8wnjlKt/7e/mUF58QdDXv9tmDfCxqPMGf +sHO/25B91nzKj0+YEDH/5NbjfKjeNOzgJxjb2Z7cdJpPefIJUr0fA81t+HBq +2LuvnyBzX3Z290U+5Yv2/Xr3PnHSno9Z2sll2i4Ipzr87HjLgU95EwR+6L4F +b2/yUVLfcMBB2Ly6Vj/6Lp/yJwhOFw2P/3zIR8Ns0U4ZRBYvsRz2lE95FIQu +ZT9TLV7w0Xi4MUHIFDskubjxKZ+CsGXrZu3I8NG4uc7BmCoKXzL6LZ/yKhjD +rg6S2vrw0RhHa4Jxfp/4ebI/n/IrGAVlYcqJQj7+1Ydg6Njefe0s5VOeBWPK +jfkKHY6PxjhIDsas/V2nnQrhU74Fo8WR4R2rwviwbVjO3UOwvdpt6qEoPuVd +CLIWPeapY/kY0riAQnA3tsc5myQ+5V8Icn5Ndmifzse3xnoRAut535Pcs/mU +hyEom7fCck4BH6calkNmCJp8NBlUVMKnfAzBtHUfDO9W8NG3YTr3+Ywf4x1n +zNLwKS8/Y+tBvkNtLR9fGqafxWeYrWnzw7+eT/n5GReOmF8+0UQAq4bT6/YZ +S6/bDJ2pI6A8/QzVs9G57doI0K1xwX+GY+V4r9wOAsrXUPTsuOC0TF8ARcPu +GYVCkNpt6YvuAsrbUNw/v7aPfW8B9uxu+BeK4XbupdYDBJS/oTga+dprxxAB +GsqTNmHx87Vy7ZaRAsrjUHQRtS/fNE6AhnQ8XRqKwYMe7do2SUD5/AWhZ1oG +7psuwNbGDX6Briy7/MwsAeX1F4Qddqq6o839lo0B9QXZj90U7xYLKL+/4CK3 +a33UCgEazoaBzxdcbWHqV2MmoDz/All77y/9NwnQ2O6qvsCsT+ZDs20Cyvcw +GHWZpH9rpwB/GpbbuDAYHvtjErFPQHkfBneLs+06Wgng2TCdj4ahe0DxuQ3H +BZT/YRisOX/lzRkBlv87YEw2Pzzw9wUBeRCGdur8FevsBahtOB3fw9DrUHMd +wXUB+RCO9huVJj3vCODScLiTw7G+DU995aGAvAgHz9uqd+1TARY0DmA4vKcM +lxx4KSA/wmH0pPRTkbsAlY08hKPl9Q+j97wVkCfh4KRWv8o/CvC4Id7rw5EV +MbDvab6AfPkKyWLhY12pADMbT8hX6IV02uzCCcibr3gebLB7aqgARQ3xeuEr +ctKe+aVGCMifr/DztJlsGyvAv/j7ClXCVfWwZAF59BWLh9unpmYI0BgvzSKQ +dW1K6e08AfkUgf9U2w1NSwRoXL5zI1B5V7Rbt1JAXkXgGVf5JbJagMblcSUC +u9r5TX5cJyC/IlAx1fPjzr8C/Jt+EYhbZjVsio6QPIuA7b03LnpthUhsOL26 +kWj2tEC3Uk9IvkUiY5Fge0xXodaVhj2MREy65ythLyF5F4mgkmmfXw8QYlDj +BIyE81510MOhQvIvEh1kcx85jhYiKrLxH276eUy8MkFIHkZi3I0rL+ynCXHi +QUOgRuFai6WhDrOE5GMUnDZs8b63QIjejRM6CvyFBrNeLhWSl1Fw7B152W+1 +EJ8bP15FIVeQdChsg5D8jIL02qUf+VuFONQQp3FRMHEzMGyxS0ieRuGWMC56 +6AEhujQukGj8GVLXYfURIfkajYQ/injbU0IENsTBumhY/7exq/95IXkbjemu +Nd9KLguxq/HjVzQ8jER1Ax2F5G80Jt75cnPHXSHa/VtweOA3y+7NYyF5HA27 +sSbxVc+FaJwuht9Qcz3qtMlrIfn8Db16Nj94y1uIxtOx5RuODC7yyPsoJK+/ +ISz1bF8TgRD/Pp59g6UZF/tUJiS/v6HpB19+fZAQjZvL/obmP2eFbA8Xkucx +OLhse23ENyGt9xjof/s9b1qSkHyPwVufOq/3GUJa/zEoGj+158B8IXkfA+eg +Jw9flAopD2KQllPevpdKSP7HoP2MthddaoWUDzEYyOPyjf4TUh+Igf/6pHEf +m4soL2LQ4bjejhltRNQPYnDt8Wjrb9qe+S8/YnDxgXLVrm4i6gsxuHvzvyZ/ +e4soT2IQWtvl5HMjEfWHGEhdc71njBBRvsQgSqT7KG+ciPpELGbFjx57Y4qI +8iYWZ1WaY5Mhon4RC6PLVRuK54sof2Kx56Qk2XmpiPpGLNpOKCxZtUZEeRSL +T29/27fbJKL+EYspZtfdv1qIKJ+0fz+946ybe0TUR2Iha9Zh5arDIsqrWJiW +NYnqcUJE/SQWvxK3fiw8J6L8ikXMGucqnp2I+kosur/qf/XadRHlWSyc+FsP +mN8VUX/R/j6ETyY9EVG+xWIU/2ZzfRcR9Zk4zFpj8kbjLqK8i0P14L7nEt+J +qN/EIaaz4ympv4jyLw5DEqMeuotF1HfisKbD5Ii7nIjyMA4VCzroX/wiov4T +h5a1T3YejRahcbpfiMO+awaiPYki6kNx+LKd07HIEOHf1wdx+FseP39zvoj6 +URzmOl223lgmovyMw4Gcv+c3qUXUl+LQY92J3Vt/iihP41D3ut2AXX9F1J+0 +7/+ozOtwSzHlazx4hmOrz7YXU5+KR981v35eNxBT3sbj0B1L/2c9xdSv4pG8 +8UI33wFiyt94/Di3rd+XYWLqW/FoomPwOWesmPI4Hr9WeP73e7KY+lc8ilv3 +DuoJMeWz9ueTz7WZsUBMfSwe6hlctMUyMeV1PDoXFLe8ZiamfhaPG+Zlbz9u +FlN+x+PJcpl/mqWY+lo8vOKWd9XdL6Y8j8cHuztRk4+Iqb/FY/S5vTH7Tosp +3xPwyJLr6mIrpj6XgIVWZ50Sroop7xOQfejksva3xdTvErDjy91Rix6JKf8T +sOXaq7FXnoup7yWgn+Wl5SGvxeRBAjIlfy/ovBNT/0tAkXe5eJG/mHxIQEgz +gx+3xGLqgwmw3DRzdCInJi8SMKP9uPV9wsTUDxNweb7Pvn3fxORHAtD0hLkg +SUx9MQGnu88erpMlJk8SsG5uxJe1hWLqjwmY0i98lFe5mHxJxPepFWt+V4up +TyYiuH3xuNX1YvImEU867VB4N5NQv0xEJ0mbmmZtJORPItwv2n8x7yShvpmI +96XHxkm6S8ijRDxzPDOsez8J9c9E1HUc/+bUEAn5lIjjc6e/ShktoT6aCN3O +wztPnyQhrxLR/P7DSpcZEuqniTBs3X5Mi/kS8kv795oBEfuXSqivJoLfYock +bo2EPEtEtynra6ZvllB/TYJZ5FVrT0sJ+ZaEsOUnB3feL6E+m4TLrm/a2x6R +kHdJGPj7ae+K0xLqt0koqg9ftuWihPxLAvfS71HkNQn13SQsXRNWPuOOhDxM +gl+13WLfxxLqv0kISFzjOdBFgn9fTyZBEPH2xxMPCfXhJDwZ8X1i+w8S8lL7 +9wkvNlzmSagfJ+HLxPbrf0kl5GcS/q72Hno0WEJ9OQlBEYkhZV8l5GkSfHKq +B+yMk1B/TsbVM5bTslIl5GsyWo640GxjroT6dDLSTdyOJpRIyNtkHP440G6l +SkL9OhllszcPjfohIX+T8ePUsy2L/0qobyfjycuJXcNaSsnjZLRNPr10QQcp +9e9kyDv714Z0kZLPycgbMLLdvN5S6uPJOCoeYx9sJCWvk6Gyar5u7kgp9fNk +TIxSng4eLyW/kzFoyYiCudOl1NeT8XpLszshc6TkeQoGH/toPX+xlDxPwcsW +VhdDV0nJ8xT0vXeOv3CjlDxPQYBX+1bhFlLyPAW/VZsPLt4rJc9ToB7+LCPC +Skqep+DDlD/Ll52SkucpqBkgkERfkJLnKdDrq+m68qqUPE+B+cPsTbG3pOR5 +CpoOeHt+9SMpeZ6C2+7nTsY/l5Ln2u1PtzExc5eS5yngrYgLTXgnJc9TsObJ +q3ZrA6TkeQoG9tbTSZRIyfNUTJ1v8sYsSEqepyIpbkFZfLiUPE9FWsWyz6tj +peR5KvYPPTwmNkVKnqfivH1Q3xU5UvI8FSZndt6KLJaS56mI/HnAyrRKSp6n +4sWJKtnnWil5noo/xc0Pzf4jJc9T8TxedlKmIyPPU1GzdGTspPYy8jwVn/9Y +HvM1kJHn2u2NsTYb1ktGnqdi+JftB9wGysjzVIjWzPvYfYSMPE/F044Du90x +lpHnaXhU1Mq5xTQZeZ4G43P1o8/MlpHnaRg5UieqfJGMPE9DWo8RB7atlJHn +adg04miT2PUy8jwNvQyyLs/eJiPP0zBi45Fy390y+ryThrnrRo3re1iGu42e +p+Hq3M6mN0/I6PNPGpZO6zvip42MPE9D6rTV0Zb2MvI8DcvHeQ2LvCEjz9PQ +qb7XhAkPZOR5GqoOvCtwdpaR52nYu2aZcZNXMvI8HSWX6vV3esvI83R8jfpw +MdRXRp6nI7j7ZqshIhl5no48s7qkqwoZeZ6O0OvnfQpCZeR5OvxT08tnRcvI +83TIrra6/ixRRp6no+KH5kxNhow8T8cY+R3BkgIZeZ6Ot0+jJ7opZeR5Oo5e +eFlZo5GR5+lo5qxOXvBLRp5rt7c+oORx00DyPB36e+K6FeoGkufpuCifvmWc +XiB5ng7XV+nvz3ULJM8ztL6+aBLSJ5A8z8DgoIPL2wwOJM8zMGHi+FvLRwWS +5xmo+ZAWcHdCIHmeAYsZS8Ux0wPJ8wwYb7N+2GFuIHmeAd2/o00WLw4kzzPQ ++bzVm8urAslz7euA7lGSDYHkeQY61Om5V20LJM8zsHL4zIED9gSS59rff3tl +9urDgeR5Bg7ujfxueyKQPM/A76LaSe9sAsnzDEhmlNbHXw4kzzMQ0vfa9F+O +geR5JtrlBJT3vh9Inmtfn1zdEk8DyfNMPLebb2vuGkieZ+K4mdXyM28CyfNM +NKnw23/fJ5A8z0RLnaqvXvxA8jwTQzrp7pbJAsnzTIgWZBlHBQeS55mY4Lp6 +aPrXQPI8E5W582cUxQaS55l46OK0tzIlkDzPRNH0EW7V2YHkeSZ0f2Rmfi8K +JM8zsbj0bpfvFYHkeSYutjOCuiaQPM+CO06tKqsPJM+zYLJk/9ycZnLyPAtl +hRlt41vLyfMsRIp83IL05OR5Fup2KOp9usnJ8yz8sqvUc+ojJ8+z0MuvZ8r5 +QXLyPAsltwYvshgph7TR8yyc/lS5HuPl9Hk3C1VNzP4YTpOjY+OEzoJn50nG +1bPk5HkW/OKOl31ZKCfPs9Bysqr30+Vy8jwL39c4BO9eKyfPs7Daonfc2C1y +8jwLIvGdWT8s5eR5NgpLFDqSfXLyPBtFHre7n7GWk+fZWJeRYTXhlJw8z8bZ +jzealZ+Xk+fZcL1g8+WlvZw8z8bg0rv8FTfk5Hk2fOPeBtffk5Pn2Vix533J +ayc5eZ6Nx31P91z0Uk6eZyM0RLW6xENOnmcj7njdFfv3cvI8G86eJ971CpCT +59kQjzKV+Irl5Hk2UmZu8J7FycnzbJw7ds0qMlROnudgarS0uVmUnNZ7Dmzl +aVuS4+Xkew6+Gn09si5NTus/BxfWWU+NzZGT9zkQ9+e9XVgspzzIwd1YG5m4 +Qk7+5+DtOP9dQ2rklA852Hrf5MXdX3LqAzmwiWyx6XsTBeVFDgbOr7m/tpWC ++kEOROqamX7tFZQfOXDerDbTNVBQX8hBZ/eEiE2GCsqTHOg5ODp79VNQf8hB ++Y6/QvVgBeVLDkwm9+s5aZSC+kQObnilSU6MV1De5KBf6963facqqF9o939D +0o0iKCh/clC3qPZttwUK6hs58Jl9KG/uUgXlUQ4Kd4wcdmC1gvpHDipvDTp5 +a4OC8kk7nluXcG+3KqiP5KB26r0/QTsVlFfav1+sHJK0X0H9JAc8h+XjC6wV +lF85cBX7dqs4qaC+koNXJ3UjVTYKyrMctBuzbGGVnYL6Sw7KRpy6WOKgoHzL +wYsHtoczbiuoz+RiwyEL3YiHCsq7XDx2N5jPc1ZQv8nF7XZOPZ1cFZR/ufiw +o9jupKeC+k4uytY1ObrivYLyMBc7ruRmD/BXUP/JhcNlx2CVUEH5mAunrHp9 +caCC+lAu2vSbHHYuWEF5mYu4mJnJU8IV1I9y4WvTdYoqWkH5mQsPflCuW4KC ++lIuunYzjViWpqA8zUUPU19ldbaC+lMulM2bTHtYqKB8zUVl59kfRisV1Kdy +0WLDeZNglYLyNhdfohVZq2oV1K9yEXbH4EZavYLyNxfR++Y992nCUd/KhcG5 +LlUHm3OUx7nINrkydWhLjvpXLgx1ep3K0eUon7X7y1m+ftSWoz6Wi2p1nnhh +B47yOhdmosGCWj2O+lkuIiNED17pc5TfuTh+yWj5kq4c9bVcHI78nqPqzlGe +52IrxAsf9OSov+Xid/vf5437cJTvebjaYaltdD+O+lweFkknL9wzkKO8z0Or +Cctjfw/iqN/l4Qn69rgzlKP8z8PIZdMN+4zgqO/lofLE+BjvURx5kIcdF55O +Mh7LUf/LQ17y30VCY458yIPKra7Z1Ikc9cE8RL8ztBBO5siLPISf+LHZeBpH +/TAP74wHabxNOPIjD2PCp/bpA476Yh5WJEak357NoTH+T+ZB5H108O+5HH0f +lIfhq0Lrdi3g6PNiHmLvbFsVuYij74fy4F6QPHTMEo4+P+YhxDH83O1lHH1f +lIf4s9/ml63g6PNkHhYfvGI3ZzVHfTMPEUnXRj0x48ijPFyuPjanZB1H/TMP +++TFsokbOfIpD84/LjnZbuaoj+bhpVFezGdzjrzKg+ye13ZdC476aR6w5uSC +hZYc+aX9+YKKs3Y7Oeqredhm4PtLvJsjz/LQb6zlp4q9HPXXfHRNf/O19wGO +fMuHv9HgzosPcdRn81GptHtw1Ioj7/LhnrNz8ZMjHPXbfPjaHzMWHePIv3xM +GrV+YeIJjvpuPqKai+0rT3HkYT5CW80tan6Wo/6bj6UdXfd0seHIx3w4h51r +MfACR304H8OldqKRFznyMh9Viyxtje046sf5sPgYZjbBniM/8/FJd9cE46sc +9eV8zF1W3GOkA0ee5sPArEnTAY4c9ed8uCRsL9S/yZGv+XiyRx7U9DZHfTof +4xzCHyrvcORtPro9mrw+9h5H/TofkthAnYAHHPmrPf49nZ/ffcRR386H067y +LvufcORxPtJDmlvhKUf9Ox+1uzq91nvGkc/5aGfw7UPmc476eD42X/nh6OnC +kdf52LNlwaQDrhz183z8GHr63YhXHPmdj777FhcVv+aor+djk+O5vJceHHle +gFNlX5+tecOR5wVQpPxs39ybI88LkPs4dILPW448L0Dtxtq2a99z5HkBbi9Z +cufHB448L4CH43XJo48ceV4Az5Enr4/x48jzAqybmfwjxJ8jzwtQGnKs6Toe +R55rX8v1X+XxOfK8AH0GXUzcL+TI8wI8U9o9qRRx5HkB3jQrzj8k4cjzAviu +Py0okXLkeQGMkpq33RbIkecFuLF3fWaMnCPPC4C62cNmchx5XoATxx6UeX7i +yPMC9A3p1bttMEeeFyA+7aNsfwhHnhfg7du+nz9/5sjzAvQfMcu41xeOPC/A +nw1Ffw+FceR5AcZPLhkmDefI8wIIvvV63zyCI8+14zNhi93CSI48L4C/ra3X +1SiOPC9ARqKF4adojjwvwI5d6fG13zjyvADd9kbEDInlyPMCRA/s0N4sjiPP +C7BIecn+XDxHnheirk/L8S4JHHleiNBR5wxkiRx5XogWj4OMEpM48lz7+4Xy +baXJHHleiHzZmk8/UzjyvBBeEbvmN0/jyPNCPEhMK9ZN58jzQgzze+reOoMj +zwtRtsjxlE4mR54XovnzR1t+a1//87wQXRUeKyqzOPK8EC0zPZamZ3PkeSGc +J9utCM7hyPNCLB061MwzlyPPC1He7+o6+zyOPC/E+fc3Vpvnc+R5ISRWw+aN +K+DI80Johq0a0qSQI8+1x8P//iNc+/qf54WY2rqt/+0i5nkhBJOvrlpezDwv +xM4j5nG6JczzQhxv4TBWXsI8L0SQ+Z89h0uZ54U42lpyvEcZ87wQlwP4qxVl +zPNCPBpa8d82JfO8EGfWmR+tVzLPC1G6tMX7e+XM80K0nZnrOaCCeV6IwbY1 +W30qmOdFmH8dMRMqmedFkNeF1PIrmedFKL7vED2uinlehMcmd9Z4VTHPi/C1 +RfalHirmeRHm9bNde0XFPC9CF+Wpr0oV87wI40rjMpaqmedFqA91dvBSM8+L +8GdjevgfNfO8CBPd3J6v0DDPi5D+uf63s4Z5XoTUnnVFORrmeRHWDHi7rn81 +R58PizDJvt+iLdrX/74PKkJQdyvhvWrmeRFaFXi7fqpmnhfhRLeiv8pq5nkR +tneeFqtXwzwvwlnLQL2xNczzIqwMcZCY1jDPi1AyUPDVvIZ5XoROLyxmHKxh +nhdBx8a9w4ka5nkR4ma8nHa6hnlehMK7VoENP//neRH2r5344FAN87wIMS86 +ibbVMM+LYPpx8NClNczzIhg3c8o2rmGeF+HSHMc0/RrmeTHmrBzYpaqaeV6M +DrMcb4RUM8+LsXlz8dSH1czzYuj339lrazXzvBh580eMGVDNPC+GB2/v4Ybx +/+d5MQpvmyY5aZjnxRg36rflEg3zvBj2fX31fqqZ58X4OOpxuouaeV4M8foc +BdTM82IsTvokTlMxz4vRrqfVZysV87wYOrG9s/9UMc+LUZ3RorlDFfO8GHzz +LaPaVjHPi/Hqvfkmh0rmeTHSzOde/VvBPC/Gl1mmH6wrmOfFGG/xPiK9nHle +jPxm7zJnlTPPixH8zj77pZJ5Xox5hmejfpYxz7XHszjq9ZIy5nkx3E9+2upU +yjzXHk+XZ7+ySpjnxRCkvTzWt4R5XoxHkq6hG4uZ58X4Xbiw8lYR87wYraJs +SqSFzPNifO7TxC+/gHleAufw3vN0CpjnJbCuH+DSL595XoIBA7ZKJ+Yxz0vg +qezjNC+XeV6CFQsEY5flMM9LMHb7yUsrspnnJRj/3v/qkizmeQkcUxQmszOZ +5yWQpVS/HJvBPC9Bh1yP9z3Smecl4O0Zve13KvO8BH+NigNSUpjnJfDVH/HG +J5l5XoI+R9ZNvJDEPC+BTWDopoWJzPMStJWl6bdJYJ6XYNsxzZbQOOa59vhH +WRnbxDLPS9DqdMDdETHM8xL4GQ08nhDNPC/BINOBqSejmOcl2A9DWedI5nkJ +fnpY9fD6yjwvQc62mxWT/u95Cbo/Spug+MI8L8EL/8/KWaHM8xLc3y/pIAth +npfgNG+w89hg5nkJlkadcXT5xDwvgXiyUYYOxzwvgYnsyY3dcuZ5CVbuW/iI +kzHPS2H34M13fSnzvBSyxFHeFmLmeSkGdFr13lPIPC/F7UPX6wv5zPNSbNm4 +8kEfHvO8FNHX+1mv9Geel6Lq14nb53yZ59rXVVFlL32Y56VoU+15KfA987wU +YYkXVyS8ZZ6X4pdvxsoCL+Z5KSoLTOwqPJnnpTjZY1BOlTvzvBR6Mw33KF8x +z0tRfv2Vfo4r87wUnWzm50W5MM9LYZF+4xvvOfO8FO8Ff5MfOjPPS1G0c+TP +Q07M81K0veIyctZj5nkpFvzJP9L2IfO8FK2b3Az5do95XopmzYb0v3WHeV6K +GSEL7OfeYp6XYuKKC2UaR+Z5KUKqt6985sA8L8XyJdf8Ta4yz0vhN/lK++TL +zPNSWOVXm++/xDzXns9PB11rLzDPS/H8lmPsORvmeRk6Li2tqDvDPC/DZ9PB +GutTzPMybO2Vk5ZznHlehvGvBO6mR5nnZVjUbMnSd1bM8zKYvUe0ziHmeRmi +NkwZsnE/87wMobppazz2MM/LYNgyYmXZTuZ5GVbm+xsOtWSel8Hl3DSfrduY +52WI1bTVvb2FeV4GG36ckWAj87wMH09Pb5q8jnlehoHTap6q1jDPy9Bn1ntl +s1Ucff9bBqseBtXtl3N0vacMm19kvu+k/Xz+7/vgMrxRSrt00H5+/3f9R/v7 +B3cMbz6feV6GBTHXi1WzmedlKOtYZJo8k3lehrMHxy4XTGeel2Gm1QD1rSnM +8zI4lZ4cs3Ui87wMut9LdYYYM8/L0LZ6ypGS0czzMnS/NeDwqxHM8zLs4O2u +MxvKPC+DwavQjk0GMc/LUJTUwud1f+a5ErN7FsagD/NcCQPbkScSDJnnSog2 +uj3Z3o15roTKtO3EYn3muRIeE8cv3qXHPFfiP9P8+PR2zHMlRtQXRS9uzTxX +YlqLtlP8dZjnSgzb07td52bMcyX6p6bdSfitIM+VeLDwScyJ7wryXIlfIfoJ +rSoV5LkSPtdrHzgWKchzJRZtKmn9J0tBnishvPZwjGWygjxXgqv0+iP4piDP +lfjzI9H69xcFea7E/ifRtsacgjxXom7JokEbRQryXAmnvvWbrH0V5LkSLp5u +hqe9FOS5Eml/f5pbuyrIcyVC47k+G50U5LkSb8yk64zvKshz7XjP/PC3/pqC +PFfiZIK5vsBWQZ4rUVPw+IbFKQV5rkSnz0aW9YcV5LkSU1cn3b26W0GeK7FT +bdOp2VYFea7E99vlmYfWKsjzcvR0qa8KX6ogz8vxqPvl2V3nKcjzcsy5sDVy +9XQFeV6O4oQDjrbGCvK8HC5vbpx4PkxBnpfDpqXbNe9+CvK8HJuv3pN4dlOQ +5+XQnTVf92EHBXlejq0xnvuP6LDv28vhuP51+szfcvK8HDdPD1/7WyMnz8ux +aOPoWO9SOXlejr1ur00X5sjJ83I4nL0kSkiSk+fa37/zqdvqKDl5Xo55bS22 +K4Ll5Ln2/Z033+klkZPn5di4l/9sn6+cPC/Hzn5HLnp6ysnzctwofzg5/rmc +PC/H4xPDpFX35eR5OX7mTtX57SAnz8uRlhjf8ecFOXlejg1HWyXmH5eT5+Vo +vbZ4uWK/nDzXjucTh1OOFnLyvBxjvzUznb9OTp6XI6OtdWDVEjl5Xo5xKeXR +12fLyfNyeExxOqU/WU6el2P0uwd+N0fKyXPt/g5ufup7fzl5XoHyHu2DlnWT +k+cVaHMw7eajdnLyvAItzz2OjWwqJ88rcLOnlWN1bSB5XoHrTg/9Wpez648V +mOQ/dXbH3EDyvAK1Lx6Mb5HErkdWwEInza7kayB5XoEwnYXDZAp2fbICSWO6 +9bflBZLnFQi5en3nOG92vbICt22zK+JeBJLnFUhsYi7ccZ9dv6yAZPsiaf7V +QPK8Ai77yqpXn2PXMyuwb8XtzX5WgeR5BRSiS+V/drDrmxV4LjZwm74hkDyv +wNX4p8f2LGXXOyvwo2bXVrtZgeR5BZ6cjtl8cwK7/lmBIKPxu68MDSTPKxA5 +vOzUoV7semgF5g42uzFPL5A8r8CUXnHObVqw66MVyDn7xVXxg90PUYGt3Z2f +7FDKyPMKvDL2P1Obxe6PqMDSw2dnn46TkecVGJK0rbTkM7tfogKr0mIPLBLL +yPNKSFbMCX78nt0/UYkhVoPK4l/KyPNKfEpQp/29z+6nqIS+bb+7hldl5Hkl +dkePbGF0ht1fUYkR9g/H9TooI88rUfIpuXPzbex+i0rk6Z55lbJKRp5XInzK +f2nP57H7LyrhekcpWDFZRp5XYrFX1Fj1MHY/RiXmnB0z91IvGXleCacNL0v+ +dmD3Z1RisPpDz0NNZeR5JVKXVCaFVUvJ80p8Dv9uoF8kJc8rcdloS8ySFCl5 +XgnjQ9Lmx75KyfNKvGrr6+0gk5LnlfALTJHd9JHS9d5KrHmcNNnWVYqCRs8r +ce/30i4W96XkeSXavstdMcZeSp5XosrHJK/8hJQ8r0T2bt0vTnuk5Ln2eOzU +P403SsnzSjxq+uaodLGUPNeOt3HaaGMTKXleiQi/mUOfjJKS55Wo2Oe4sayP +lDzXvt/dE4Ej9KTkeRXSvSTLNzeVkudV0LvQVfeMRkKeV+HM4EUF9vnsfrEq +pDXplHUhQUKeV8E5YIJq92d2/1gVDEee6TJDICHPq2D+wnNR0zfsfrIqWNle +sw94IiHPq2B6uyR4jQO7v6wKOWFOTfNOS8jzKrSy3jdl6z52v1kVInRG7wjb +KCHPq1C/RGbTbzG7/6wKD+eW2+6eJiHPq3BxhNMe5+ES8rwKL22fj5YZSsjz +Koh+JH+LaCMhz7Wvr45YEP6L3Y+qHY+NZ2/yysTkeRV2Jni/uJXG7k+tQsYj +t+NmX8XkeRWuHFnSrrWE3a9ahUDrB9veeYvJ8ypkx+7ZN/0pu39VO74txUZi +BzF5XoU9/mduGp1m97NW4e9bl2fn94jJ8yo8+t5nWcg6dn9rFY6EVj/7OV9M +nlehwLb7ZcOJ7H7XKpT5Ov43zEhMnqvQ2mBxyyH6YlrvKsy4vcGpUzN2P6wK +oaMkPqUqdj+0CllDT8z7mC0i71XgMu6ZWUaLKA9UmBNpmNYsUET+q/DYpVfM +3Xfs/mkVFvTxHNfOWUR9QAXN5LC64w4iygsVwn4+GhhxUkT9QIW3t4zedtjF +7rdWwWb2DQesEVFfUMHSJl9sPltEeaLCz0+Lpu4bI6L+oMJO35Smlr3Z/dna +7f3x77CorYj6hAqic3WbetYJKW+0x9suJje9iD3PocLy91tcricIKX9UMNn7 +5YZRELufX4Wu26d5vP/Inn9QoU9YbmH/F0LqHypsyVIusncUUj5p31/jEB5/ +it3/rz1+C6Wl3i4hGuNqtwrz7i7Um7aaPT+i/Xt1fORKCNEYN4dV8P8v7IHZ +SPa8gApGE7dbzO8hpOuH2vHonTpqYEsh9RcV5LD6UaER0PVEFVoO3SnyyBZQ +n9Eev+WvA4sj2fNYKrifO9k+QySgfqPCpN99nDZ5COj7SRU67zdpFXqPPb+k +wuD5Pdb1uSCg7ytV2Nqy2cUd+wXUf7TH13v+xUfrBPT9pQqr1careXME1IdU +GJnWW60YzZ7/0m7faNMGkaGA+pEK09rOvPyipYA+D2nPp6T/ISsNn/qSCtam +2zqNzmLPc6pwVrr6QGo4e35OBZffG08e4fMpX7XnJzdhVK0re55Shf0DBt3a +c5NPeavdn60+dz6f4lO/UqFAP2ms3g72/KF2vF83P7hwOZ/6lnb7pq4mB6by +KY9VmNW/m8s5I/a8nnZ8+iTeON2RPV+rgnM706aWv9jz3dr1dDu/bnIhj/Ja +BV7Pbkd+feNRP9Nuv369pbeEPY+twq8FvcLnefCor6nwJz/dNfIOj/Jchb32 +eoWzzrLnp7Xz4fXEe247eZTvagy9HOZauZxHfU4N1fBFHYdOZc87q3F758SU +ZQN51O/UkIk7/9jWnkf5r4bL0Z17tv4IoL6nxrT7vkamuQHkgRp7Ey8M7xcR +QP1PDYHPhuP5vADyQY2t88P/u+8SQH1QjTZHzYNGOwSQF9rtyV4HCo4EUD9U +Q7J+pHL45gDyQ40mA64vuDEvgPqiGo9fLotIHhVAnqhR+7PDCb1uAdQf1Zj1 +cwcmNgkgX9Qo0ikctKDUn/qkGsMHjzSaG+dP3mj//nvCxJFSf+qXasS8sVnX +1N2f/FHDsGnQpaCb/tQ3teOxbn6A1Ql/8kiNkOteRbpb/al/qvGrxZ1utxf4 +k09qFIhezP472p/6qBo23c9ZbOnmT16psanrNyuPv37UT9Ww7zf3QFqxH/ml +hm9vu+X13/yor6rRed+ULroiP/JMjZ/R+tImrn7UX9VYdz14euE1P/JNjUnT +f97nW/lRn1UjqWKH7Mh6P/JOjRbtJAE94Ef9Vo2TWz8e/zDYj/xTw7LVr18j +O/hR31Xj7YVVc5y++5KHauy/dXhBVYYv9V81Lpq2bW4c4ks+at+/U/4xi3e+ +1IfVSLjq//DsfV/yUjs+NyZvv3jGl/qx9vdNxiUesfAlP9U4WLqtfPlCX+rL +aoR2ufKq22hf8lSN0VY7qiMMfKk/a8/fg/P85NqP5Kt2Pk8SeVUGf6Q+rcaE +0maijLsfyVs1yuuUaW7mH6lfa8czuXnrmcM/kr9qlLTKnOpX60N9Ww2uW7td +9UE+5LH2/NwfYtfrjg/1bzXuVn9xMNjsQz6rMc/5mnX+YB/q42roypqNu675 +QF5rt7c++ZOO/AP1c+3vD/Ew3Hj9A/mt/fm99uMvm32gvq6G3vOAZvZ9P5Dn +GoxNn35pc9l78lyDizuWerbmvyfPNVCJb+67bfuePNegXbBHUKnpe/JcgxYB +s717GrwnzzUQ1bftYpT1jjzXQNfE779mXu/Icw2WjszeJDryjjzXYOSteUbz +pr8jz7X7o39vlWeLd+S5Bs/XnEjLinpLnmtQ/vGVoOLxW/JcgwmzIjLjtr0l +zzXYK3dbeHvoW/JcA1+rVGVftTd5rsHKdoODrom9yXMNHLynB32+5E2ea7DI +NTo/1dSbPNdgy7EHfUI6eZPnGgTxZ+63T/UizzVwrrKXG7p5keca9LIz1L+2 +14s818DVMWBb+Bgv8lwD45Dmz3Nr35DnGszZL1d8C3xDnz80kHd5HPTA/g15 +rkGTlybPRy15Q59HNPD5aTnvRac35LkGoe3F/nnJnuS5BjbPK7L+e+FJnmtg +1sGHq9zhSZ5r0Ga15wr+ME/yXIMi34uXV1V5kOca7HQvXBPM8yDPtePrfU7U +5qwHea6Bl16x1xB4kOca9IsJ72XYwoM81+Dq8uC2eWHu5Ll2PMdaH7K95U6e +a5DQd/9UzSp38lyD+w8X7pnW1Z0810Dw5Fnl+rTX5Ll2f+y/hy52eU2ea1AZ +llPc2fI1ea5B2cuCRb6DXpPn2vMfcTl3QOkr8lx7/heaeO9//4o810Dv79Un +16xekefa83sy+fUZ41fkuQbTTj37POu7G3muQTRvWk2G0I081+7foa5Dlp91 +I8816Nzy+tqHJm7kuQYlLoUnP/5xJc810Pc8ZfeScyXPNciwsLPaaedKnmuw +2mrWxD9zXclzDeoW5X89qONKnmvAWQ5aYXHrJXmuwYKFKfZ3O74kzzVIOtRi +0P57LuS5BgeVwt4VnV3Icw2MtpRs6fHwBXleje67j8RUGrwgz6sxwEh/96FH +z8nzajQ5bd32UZfn5Hk16ia199n16Bl5Xg3raUunZxs8I8+rsXHhIdemD53J +82qkRjp+jezsTJ5Xg3fsieese0/J82rsPbe5v3nHp+R5NSozjgwZcMuJPNe+ +/7D5HnfaOJHn1Rjbr901j2tP8D+UPfCG + "]]}, {{}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + Method->{ + "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + Identity[ + Part[#, 1]], + Identity[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + Identity[ + Part[#, 1]], + Identity[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.199}, {0, 0.13246062147525933`}}, + PlotRangeClipping->True, PlotRangePadding->{{ Scaled[0.02], Scaled[0.02]}, { Scaled[0.02], - Scaled[0.02]}, {0, 0}}, - Ticks->{Automatic, Automatic, Automatic}, - ViewPoint->{2.191826357682425, 0.6664688256175513, 2.4903245817058757`}, - ViewVertical->{-0.5702438624884033, -0.5676162000299144, - 0.5938297624386193}]], "Output", - CellChangeTimes->{3.819029598753941*^9, 3.819029712437339*^9, - 3.819029915252583*^9, 3.819030016824148*^9}, - CellLabel->"Out[87]=",ExpressionUUID->"c6c9c8e8-7cb0-4ad0-a6c6-fb0a70db55da"] + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{{3.819021465308202*^9, 3.819021502573079*^9}, + 3.819021591030007*^9, {3.8190216893878736`*^9, 3.819021701664556*^9}}, + CellLabel->"Out[30]=",ExpressionUUID->"a27bcc82-f8f9-42d8-854c-a204a73d483f"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"M\[Xi]2", "=", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"h2", "[", "\[Theta]", "]"}], + SuperscriptBox[ + RowBox[{"t", "[", "\[Theta]", "]"}], + RowBox[{"-", + RowBox[{"\[CapitalDelta]", "[", "2", "]"}]}]]}], ",", + RowBox[{ + RowBox[{"-", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"Transpose", "[", + RowBox[{"Inverse", "[", + RowBox[{ + RowBox[{"D", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"R", " ", + RowBox[{"t", "[", "\[Theta]p", "]"}]}], ",", + RowBox[{ + SuperscriptBox["R", + RowBox[{"\[CapitalDelta]", "[", "2", "]"}]], + RowBox[{"h2", "[", "\[Theta]p", "]"}]}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"{", + RowBox[{"R", ",", "\[Theta]p"}], "}"}], "}"}]}], "]"}], "/.", + RowBox[{"\[Theta]p", "\[Rule]", "\[Theta]"}]}], "]"}], + "]"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"D", "[", + RowBox[{ + RowBox[{ + SuperscriptBox["R", "2"], + RowBox[{"(", + RowBox[{ + RowBox[{"F2", "[", "\[Theta]p", "]"}], "+", + RowBox[{ + SuperscriptBox[ + RowBox[{"t", "[", "\[Theta]p", "]"}], "2"], + RowBox[{ + RowBox[{"Log", "[", + SuperscriptBox["R", "2"], "]"}], "/", + RowBox[{"(", + RowBox[{"8", "\[Pi]"}], ")"}]}]}]}], ")"}]}], ",", + RowBox[{"{", + RowBox[{"{", + RowBox[{"R", ",", "\[Theta]p"}], "}"}], "}"}]}], "]"}], "/.", + RowBox[{"\[Theta]p", "\[Rule]", "\[Theta]"}]}], ")"}]}], + ")"}], "[", + RowBox[{"[", "2", "]"}], "]"}]}], "/", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"R", " ", + RowBox[{"t", "[", "\[Theta]", "]"}]}], ")"}], + RowBox[{"1", "/", "8"}]]}]}], "}"}], "/.", + RowBox[{"B", "\[Rule]", + RowBox[{"ruleB", "[", "h2", "]"}]}]}], "/.", "sol2"}], "/.", + RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], "/.", + RowBox[{"R", "\[Rule]", "1"}]}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{"1", "+", "0.001"}], ",", + RowBox[{"\[Theta]c1", "-", "0.001"}], ",", "0.001"}], "}"}]}], "]"}]}], + ";"}]], "Input", + CellChangeTimes->{{3.818229681077404*^9, 3.818229685396946*^9}}, + CellLabel-> + "In[238]:=",ExpressionUUID->"5894652c-ea9c-458f-866d-b40d1a5efb75"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ListPlot", "[", + RowBox[{"M\[Xi]2", ",", + RowBox[{"Joined", "\[Rule]", "True"}]}], "]"}]], "Input", + CellChangeTimes->CompressedData[" +1:eJxTTMoPSmViYGAQBmIQfazAM7uv8I1jjcr1AhD9Tay+FETfv7+gCUR/uDO9 +A0QfOjUbTCvU7OwF0QVqhyeBaJ5pM6eB6H9NO2eA6Pbp++eB5f3fg+l3B5oW +g+gfSw+vBtHaIkp/JgDpqR91eCcC6WvJ84RB9J47MyVAtJu4iiKIvljKrQyi +76u+twfRd3QmOoLofK2rriCaaUOIB4j2kFKOANHb//BGgmhxRr9CEC2f/gRM +v+M4KT0f5K+7F8C0IIOCPoie0+1sA6If6P/3A9Fsq7T8QfS9zBrbHUB6L5+G +HYjOPvHu68aiN46nVph+B9EAWi+f9Q== + "], + CellLabel-> + "In[239]:=",ExpressionUUID->"3fee7ec2-e0c4-4420-8192-c46efe85e265"], + +Cell[BoxData[ + GraphicsBox[{{}, {{}, {}, + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.009166666666666668], + AbsoluteThickness[1.6], LineBox[CompressedData[" +1:eJwVVHc41+0XtuO1Z2mpKIoWGQ3dD0WvJJIKb1alpKGUQtGSvERUROVNmkZv +Ul5lJd8yy8iIspO9+TzfYfT7/v4413Od65zn3Oe+zrnPwn1etu5CAgICH/j2 +/1dMbdjlgLMXkfc2EAzNm4LBzKEdkanHySXxXsvON1NQ47G0Ff09iJO7n3Gr +xRS2l3ZrfZ7aTwTXvcuv65vE2VLHr7sfuZK8m7bKy2InscmvczxrwV6S4On6 +cHjbJF4uf1EToWJPrj18MZwlPomTboLWDT/syBl9n1PHSycwIWGVdGCDLck6 +Nnv/8qgJzI0KzPJTtCEHJUzvm++dQIrGth7r8G1Elg75L9OeQPz+dZumgyyI +QFIoZ98UD/XiK3+2D5uTRjcpTvhXHtrEnaK/ZW0mJXmW8g7JPJyMu9RRUGVK +dH2kDwcG8WA6dny1mZYJ6a4/aFHgysOLO1MXbh4C+XBfy3xkIw8eyXcc0r5t +IIFnmoub5/PwWkqywfDWOnKrNLh3vwAPEZ8EB0VuGJEgK6cQ559c+Mak+Q5/ +MCAaTsrBaUVcLNOUaT2ooU+anTz08IKLjjnGNjPT9Mhfd/d9Gb3FhXxjyMYM +F11iHflC+b9zXChqivxTtGI1qd11fMLnABdPRJkTl1VXkYBRK9uF27nIWDAe +arN2BQniCEQ/N+Kiz9/p7k9PHeKUvebVlDoXlW87Do0XLCNuxwx/KMpxobY0 +zMnZeCk5LyDm0TLJwStFjF+r0yQfdV6k7urlQKqb42gVtoQ8VldrP1rPwc6g +HQ2D9ouJ+Z1iqblFHHiumacnZKxBvnnZdDn+x/elo/0P6qsTt+czKhc+5fvx +Zk1rySJys+rR28MxHERXpshW/bWQiOQOzdS5xoHAX7XSacELyKtH2k37fDn4 +g3utb8YFNXL9WNsBcU8OUj/uvrP+j/mkQWzi+My9HKRcNxJqTJ1LNJ2GlcO2 +czBrVvJGQfc5ZDm7u9DZhAPdzdbM2KrZ5OGh9HURazgoleela8qqkpnmJ72U +tTho3+PJ05+eSU7L0cThORzkJ1pMNkyqkI6ziVZz5TjI2FPR2C+hQhpJ+bxo +ET5eZID3Pg1l4j83fmwPlw37r6+PmlsqkdXFRk1ug2z0B4RXvwtQJDruBxTT +frIx26egZjhLgVQ5uFA0sLHlvFr1KiEF8tZMVlK2gg2PWdkvy23lSXPMYc7s +T2w4xTqYLU+VI7p6Klfdstl4LxwmmyMtR6y9zKJbX7HxpnZ0qG9AhoQYvNGK +ec5GQIdFaH65NHne2GB/8QEbeTmd2xRzpcix6PV74mPYOHte9o3CW0mSOdV2 +pC+cjfzhhK+TeX+QrdcGxjyusuF9ZNPYvCoJwhswd1UKYGNBnbJTxYA4mdA+ +vKb/NBuljz8anlESJ8cfm4oOHWXDTu1q2OXNM4iun7bvHHc2rig1OxwPECMx +a4ZMTjjx8e1DPufkiRI6v3tx/y42ZK6J+nJniBLRgmVM+HY2zM7XvMy0FyEF +JD/cbgsb4bs8e6PShIm15WDDRsLPH7DSWyorTNbdDquwXMvGufafSRqnhUhd +oYuXvy4b41sfSa5uESR5yhEfS7TZiOu48aeAjSBxDZfoMFrMBnecLrAoFCDV +ngr9hfPZ8N0cUlZoIkD6PmULn5rFRpLxhNnJoN94PuTruEGBDZ6LbgYrYhpG +I680F0mxUfs79aRC4hQKnjonq4uxQet8Xo7kTmIz75kWEWDD0vFKzUQb/+6U +Rwyd4VHc6WmQqpKewH79WNuicYoxWfUuFRMeEv4OTFk1RNHL5nLO8nX6RaPL +Ib2HIm45CX2Uw4Hpjrksyw4Kh3vN5lb8vQowLNsx2UyRWuROdWzZMLj4yYfV +QDH4UXrt9BMKjaOFjxJqKLY5Jlpc/M3goeb6Xbcq+P/TRlk+zgxyNWTE75VS +GF9y93pcMA4DC5+NmZ8oLPz/kq7VHoc+qyCwK5/Cf7e8dnXcGDocjHZq51D4 +rcuiR6XG0CjfZHE5k+IeomaeujKKI4K7xvvSKX6VPA15Oz2CO6uzuw79S/Hb +X++MQuAI7h8LyGGSKNLXYp694Ai2tq2Vieb3yRLzerEvZBjix/45Z/aQYrtW +pY604jA0b1s8FYunCPVksjxMh+A8mKpbH0uxya7K4pj7IOTERore3aZoXMHq +6YoYQErEd9mUSIoPqtlH7uX1w6Ql7b+U63z+d0Lcrcb70PNg8ZHsEAqp+hbJ +wpV9uHrHuLkhiELZ7K1M5YleuFxfxxK7RMHR/n7WKLMH9YuDK0wCKE4Ung4r +F+qBHys+K9SP4kZJbPL+nd3QXf/buM2Hn+9zxrDseRe6vFWUzbwpSmPJue9C +XTAu0Z7KOE6xZUtsuIdbJ9Zt2pmhd4Ri78pDxts//kLn6b3TuYcotO3kJty1 +f+HwbNZduwP8/otbWWExHXBxSNjOdqXYkZQiEy/aAYOH91ueOFHY/RH4ztf3 +JxZqtCu5OlK0TttzpgfbEdYsm7l4D4WYattm+cPtuKO1PJLupBBgxrbf7GyD +Xkn8ka82FOU+yoPuh9qw5KqKyjsrim/2zxRP9rWCq37TKXkrhf3r5tw471Zs +/mUu/3QLhU3wt7pwbgvSXO8Lpm6mmB9zU+2DYgvkPi8UyDGhKKm2lXug14yl +iUEttRspDBQGFk7YN2Hi6bVT3PUUS/D+bPKVRoRu4kUuWUvRv7ri85XXP6Bh +kCbtZECh5t/q5tL9HaG3/PLv61H0tHj3qyz6jjClOZd+raIIWXM/+KprAyxe +mGsZrqBwG057cO1RPZw9b9+I0qbI+vVygNf7DX5R56LGtSjmyBx0yTP4hlzB +bRKuS/j1lxDZ9OA6nKrSrK5Wp7h0Ot8g83sthpdMlVkv5Ovn3xuL0nRrUfbn +xarq+RTOAQs0L0bU4FDH4gKXuRSqz5qiJQer0XxtXsCYKsXovh/phjuqIWy1 +rT1iJsWrzyIpvZlfMfV6y9fVyhQ+DXmhkou+Ii7ZZkWjAkXlbd6ayzeqcPn9 +9vpwOT6fL2mOhgJVSAwsSzeXoTiV8sFb6XQlOpiBBDEpiuViBw/MqKtApsuZ +4C8SFCqTkRKtJeUIGH235d4Mvl5E2iVDWV+gV/1PiZcoP86VGG8q+AyFZbEj +W4Upfg4m3sgoKoPKnsQnOoIUTpvqO/qqSuFhjs9K/DuwbEPcEqe2EtA2723C +Uwy+77RO6mSKcTLhvTSHx8AoS77+oGwxf0/VOaMcBpH11stylxeh0lBxfIwy +CFMeUC21KcTEBv9e3jiDcZtiVS/fT3C5+ebjjDEGUoNJ1yMef4SJZ/jR2SMM +jvjfypGsZSGat/6z7hCDs7ZHv5ZKsKCU6VpuM8DHrxYrTzMtwIMEIefTfQxs +eX6Bjy58QNzz6wfjexhUe5b5/52fjyjNsuqyLgZTBp2zt4rmI8G9J+r3LwbH +gjPa7t7Lw9/6XuFGHQxCx4qDOHq52JWw8fWZdgaL1A+IXqzOBpMQNfyulcGz +yu+xov5Z6B1i6wq1MPgtJ/DWWfMdBpvsPKybGAhaqSvt+5EJuw1NgQ9/MPhn +8Nz1ruj/MLJT2Z3TwKCwaVq9eHcGLLvLJezqGagqxbGb5r3Bsy2ae9/UMahv +Kl0j0pcOzUNXLVVrGahdeSA3M+8V1CViiy5XM/B2nMobi0lD9tDO/OEqBhU1 +t2uGe/+F9KzRxfsrGTQyrN3ir1Px4PdAd0M5A5FVL4UHryYjYVSYZ/eFP48A +8bj9+58jwm3l1poyBjkKGUE6lk/Rj6TSPaUMthVM1UkbP8Zpj86jLcV8Pkkm ++uVGiVAVj1l0pIhBfMHiL/obE8CSSWjifWKwwtQ3cu7d+1B6rB4Z8ZHB+Zr1 +F81KYxGa4KOzhMXnl9DpfkEqGqYSak8+fGAQo1k67O4ahbvhP/pd8xkkt3z+ +sSIsDGWisVT4PYM/974+ePhsEFjDJzKSc/nzWblUN0jiHD4Npc3dlcMga7ma +kXypJyRRoSaczeB/DiUesg== + "]]}}, {{}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 1.3303316622908086`}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + Method->{ + "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + Identity[ + Part[#, 1]], + Identity[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + Identity[ + Part[#, 1]], + Identity[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 33.21001948227897}, {1.3303316622908086`, + 1.8590183303232417`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{{3.817637498101*^9, 3.817637523899531*^9}, + 3.8176379865886707`*^9, {3.817638080223015*^9, 3.817638097089458*^9}, { + 3.817638411035137*^9, 3.817638418380022*^9}, {3.817638453141902*^9, + 3.817638469864127*^9}, 3.817638603759224*^9, 3.817638801668243*^9, + 3.8176402094564*^9, 3.817640385397132*^9, {3.817667011743911*^9, + 3.8176670445182667`*^9}, 3.817667195320567*^9, {3.817718248426116*^9, + 3.81771826978881*^9}, 3.818229626300428*^9, 3.818229690058893*^9, + 3.819021395997566*^9, 3.825762989816481*^9}, + CellLabel-> + "Out[239]=",ExpressionUUID->"2bfc8e2b-006d-4096-8c4b-8422da967dcb"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"\[Chi]\[Xi]2", "=", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"h2", "[", "\[Theta]", "]"}], + SuperscriptBox[ + RowBox[{"t", "[", "\[Theta]", "]"}], + RowBox[{"-", + RowBox[{"\[CapitalDelta]", "[", "2", "]"}]}]]}], ",", + RowBox[{ + RowBox[{"-", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"Transpose", "[", + RowBox[{"Inverse", "[", + RowBox[{"D", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"R", " ", + RowBox[{"t", "[", "\[Theta]p", "]"}]}], ",", + RowBox[{ + SuperscriptBox["R", + RowBox[{"\[CapitalDelta]", "[", "2", "]"}]], + RowBox[{"h2", "[", "\[Theta]p", "]"}]}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"{", + RowBox[{"R", ",", "\[Theta]p"}], "}"}], "}"}]}], "]"}], + "]"}], "]"}], ".", + RowBox[{"D", "[", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"Transpose", "[", + RowBox[{"Inverse", "[", + RowBox[{"D", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"R", " ", + RowBox[{"t", "[", "\[Theta]p", "]"}]}], ",", + RowBox[{ + SuperscriptBox["R", + RowBox[{"\[CapitalDelta]", "[", "2", "]"}]], + RowBox[{"h2", "[", "\[Theta]p", "]"}]}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"{", + RowBox[{"R", ",", "\[Theta]p"}], "}"}], "}"}]}], "]"}], + "]"}], "]"}], ".", + RowBox[{"D", "[", + RowBox[{ + RowBox[{ + SuperscriptBox["R", "2"], + RowBox[{"(", + RowBox[{ + RowBox[{"F2", "[", "\[Theta]p", "]"}], "+", + RowBox[{ + SuperscriptBox[ + RowBox[{"t", "[", "\[Theta]p", "]"}], "2"], + RowBox[{ + RowBox[{"Log", "[", + SuperscriptBox["R", "2"], "]"}], "/", + RowBox[{"(", + RowBox[{"8", "\[Pi]"}], ")"}]}]}]}], ")"}]}], ",", + RowBox[{"{", + RowBox[{"{", + RowBox[{"R", ",", "\[Theta]p"}], "}"}], "}"}]}], "]"}]}], + ")"}], "[", + RowBox[{"[", "2", "]"}], "]"}], ",", + RowBox[{"{", + RowBox[{"{", + RowBox[{"R", ",", "\[Theta]p"}], "}"}], "}"}]}], "]"}]}], + ")"}], "[", + RowBox[{"[", "2", "]"}], "]"}]}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{"R", " ", + RowBox[{"t", "[", "\[Theta]p", "]"}]}], ")"}], + RowBox[{"7", "/", "4"}]]}]}], "}"}], "/.", + RowBox[{"\[Theta]p", "\[Rule]", "\[Theta]"}]}], "/.", + RowBox[{"B", "\[Rule]", + RowBox[{"ruleB", "[", "h2", "]"}]}]}], "/.", "sol2"}], "/.", + RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], "/.", + RowBox[{"R", "\[Rule]", "1"}]}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{"1", "+", "0.001"}], ",", + RowBox[{"\[Theta]c1", "-", "0.001"}], ",", "0.001"}], "}"}]}], "]"}]}], + ";"}]], "Input", + CellChangeTimes->{{3.8182296960555153`*^9, 3.8182296994771023`*^9}}, + CellLabel-> + "In[240]:=",ExpressionUUID->"16683f20-3a25-47da-8c9c-58bfb1a56ae7"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ListPlot", "[", + RowBox[{"\[Chi]\[Xi]2", ",", + RowBox[{"Joined", "\[Rule]", "True"}]}], "]"}]], "Input", + CellChangeTimes->{{3.8176326022950163`*^9, 3.8176326467232037`*^9}, { + 3.817632683971553*^9, 3.817632789027328*^9}, {3.81763283674572*^9, + 3.8176328368685007`*^9}, {3.817632877796402*^9, 3.817632918098442*^9}, { + 3.8176329487995663`*^9, 3.8176329657972403`*^9}, {3.817633013987247*^9, + 3.817633015478447*^9}, {3.817633052086051*^9, 3.81763311811401*^9}, { + 3.817637857064962*^9, 3.81763799340449*^9}, {3.817638044949687*^9, + 3.817638084808195*^9}, {3.817638153127841*^9, 3.817638168358132*^9}, { + 3.817638399473373*^9, 3.817638412536726*^9}, {3.81763844666143*^9, + 3.8176384666464853`*^9}, {3.817638593096958*^9, 3.817638600437099*^9}, { + 3.817638794437633*^9, 3.817638799137588*^9}, {3.817638894386457*^9, + 3.817638959881351*^9}, {3.81763900605718*^9, 3.817639007860661*^9}, + 3.8176391897006083`*^9, {3.817639366190852*^9, 3.817639373670949*^9}, { + 3.817639408490509*^9, 3.817639409929799*^9}, {3.817639455026854*^9, + 3.817639465324203*^9}, {3.817640238475677*^9, 3.8176402389305267`*^9}, { + 3.817640391548546*^9, 3.817640391871228*^9}, {3.8176672347145987`*^9, + 3.817667293531107*^9}, {3.817667331524941*^9, 3.817667335774218*^9}, { + 3.8177182801379957`*^9, 3.8177182902808867`*^9}, {3.8182296949258347`*^9, + 3.818229707461006*^9}}, + CellLabel-> + "In[241]:=",ExpressionUUID->"0c28b27c-3e81-49ce-9293-512f19f95aeb"], + +Cell[BoxData[ + GraphicsBox[{{}, {{}, {}, + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.009166666666666668], + AbsoluteThickness[1.6], LineBox[CompressedData[" +1:eJwVxXc8FXzDB2BElFVWGd2koSi3keoufH8JUUgaKBKSURIVIhJCTlZ2kYys +YxznWKlklJWZLaTIjAhlped9/7g+11YLBwMrFiYmpur/8/9vjFvW071ZQwJl +zT5OxY6rCk2Wq4sGZhLflh1R1mfWQjXSvO0eI4ZwvXtObUsXgmES9+FK6iNy +Znd1K3ehJA55idh4VnuT1DHj+ZlYGYg7M6b9g91IJGExVJ9TwL4l/+/ZH26S +lAM7w1KqD2L/ph+nQrOuE4OVzy/cAIgvVcrwu9mQsAP7V9Okj0KvbnRX/R9L +4t+aEfaO+Rhc6s5/PJd8iexW+OAQK3kCR+8Mz5VImJCJdv+bPwJPIndvdluw +kBFRjaAlWIgZwNGc+WT3pzOEs6tlVDLyDJbX6WZcVjYgJZvo1AFZQ4iFeZbc +4dcnUu9NPrSOGoO6XWfsZJAOkfZ8VnakwgTxloeOrvpqExkdnxb3EjN0cfw7 ++HVak/z+gcbrNub4wmEa2VmiTth/C/+0YrGEY+z9oYoWNaL7fqSqO/My1Gav +y2vsOkJmCrotfc2vIDv6z73H1iCJd5R2bdtpA5vMaGNapzKJ3rd41XnBFgwu +zu4D4YfI0prjh490XUXwe+Yp1pCDpORyq4j2e3u4RtFcp8v3kxf/PGs9+9YB +0lI8A1e2KxFfRnTS5sEbGBJV0d9EUyQceh7PWr87YmNvgGqBmQJZOi2bUbHi +BH4p1mfVsvLk5piKZQPfLbxgm7/hLSxH3CzLFXtlb6NAYi5Q/z9Z0nDQ4nCX +vjMm3EyfDNrtIXoa+VpUVxc0Fw9Zz1VIE5n2tAakukJ8N8X0ospu4v97rt2r ++w7y+DHn3yFFDAssVo353ME1unBel7KT7JhuvlakfxenfU91TxntICbyP2oe +RHjAbt8WRRaV7aQ5IUiJ3ucJO+5ItytK28iGkcM7BIW8YBev0fcfkSTsj63Y +p956IbKZyttyYSvRVe1fPH/tPpgutHPT/CRI698B69Oi3li/6D/Bfk+cuHZw +TjbWeyPr3bnow+v/IXGsJ06/9/IB9dFBlt4sMdL0aixU9oAvNm/OVGW2EiXd +le+qWKZ9oaB+cn5WToQYbI9TPUR9gLqNS3QpXmGSLX3ftsHGD18N7ZaUVjcR +fruL/fm7/FGWpL3SvSJEPodHG42N+6PAsKn3+zohUoW3hZa5AaCGejhZbBck +scOXFsWcH8LoI+Oa5gkBcsm37wgPAvHdI6j1pQc/OXvLuEVuPQUityvapkv4 +yAONEnbPTgqO3RVvlWPhIxFGDIsfqY9gs/lVbqPBRlKnPHDX0zUIpjHGGnuz +NpDDHRNcO3SC8XYNhfc19wZSY1c51Ls1BPntP39MTPKQ1dq26YTFEHgMaQeW +NXITdjuqaL5tKEpfD+vwv+EiZT0NE9GdoXC5y5vPV8xJ+EQKfV01w1A2/fzj +Sul6wlKpxHO6MAxOV4/ObmlZRxLCyl9tl3oMiQ5B06ZJDqLOI1M/HvMYdSnv +DjgLcJD770wfJnGG44z4A4q3Ojt5XS+upX0vHD4C/cbXPdaSv+7t1r2z4Sg1 +Cqh/XcpGRrm1DIxtI8Djz+a6yM5GAkQc3N98joDG3bbcIiNWIlusbL7WMBJB +Z+3Gw2hryBbJaxT5pkjwTOoq7uZdQ3wqDCjKWlFw/zqYsf0WC6E8YCxvr4jC +3PFkTvnPzGTcIMJrVDkasUMhWkz6zEQ5VrDatzgai3O/JLSrmIhRy4kHv/fF +wFU94EPVESZi3S/ipkqPQYbKsoaj718UqvDbG8rFYslMoaAyeBVrJvRlSW4s +2v9mOfIl/cHQ+IWoX7JP8Kvjdu7MmxXM2a33c819ghPnfdqWvywjxeLycKXc +U0SPdXO1cC9jNCcgvYP+FLO820aEjizB5HH4+xylOIz/XlxwcV/Eaqif6vGX +cYjdSwKTXy/gZLy8WJpKPIyf9mvqsi5gIWCLQ2VFPLKqrX7tMfgNI5rLyXit +Z5h6x/3f6otfEOpY7VVoegad80naXn/nQd09o+p9LgHGtJ+Vty/OA/bLyQ/7 +E6By38ohpWIO9FiBxGTF59B2u8DdLjOHdOGrVBPX53A7t1GmNXYWRqf1+R3e +PMedQyW/rnHN4pVhzmo3SyKeImzTTZ+fYLvEGh2nlYhvtakBxasz2HPffF1h +cCL+uik683nOYKDHzG9HeyLo/2GLEfMMOo9KqI2LJqFyrUO2RcA0Ouw1b62x +TILeruY93PzTyPGZN7yRmYRAu/kSG7UfYKg0yMj9TMLRMy3a9lZTcLYfkVc7 +lIxe2cqxkeBJ/Fxtz33hnYxy4VdXn5Z+h7Zj4pTxh2ToRAdY6c5N4El59aGL +Aing6vrMWfXvBPobDw/lmaZAUKOYp/nGOPzkrVTPpKVgQabH5WDRGBIpEs/V +Z1Jwo+oWpZFlDFo6ZZbeh18gpDYm0/L0KAR+cI9w+b3Awm3nAx/SR0Cnn6AM +Nr9AXQxx72EZgVnt/gI2sVQcOxYTZGM+DGb29Q1O1qkw+ddaRe/dNzRx3leV +ZqRC5syGZSuZbyib+uQq8zcV5TUDlZSoITTYDU7dPpGGUxlUnni2IRSHTgqt +i0nDmfWeL11dB6HPNGg3NJSGgVWjhdWpr/iWqW7DrpCOtcJf1DfafoXJDoVQ +x3vpYJqf1Xs8/AUMyg1ryYZ0NN4WnLKy/oKHvxydhUUz0GmUxu84MQDFMFPt +c7YZMGL0v4l1GkCQ+uYbXUUZ0Pfr7Aha/AxOHj3PhLWZ+CfqsXg5/2doLrlz +Us9morbVYEOCYj8kGpboSymZ2M83uXXZqA/95usFgucysRNvXTJ9ehFZ0ddy +WZ2K7/JN9T6MT9Bekx7uGUGFuNuAudloD/qHMlg/DVEx9tnpu5BkDxZOkLY7 +SlkI2Bfn9+BSN4YfzRac98uC+TQtwT+5C/JJ/uYenVko+ZY7uTTeiVZN7vAv +u7IhynPFrHR/J9J559b7u2VDfCfhpft14LXPlmD7+mzcv1W2v6inHaxqM98i +/slBVk6IJE2hHac1nQZWbuTgooeElFdwG1LPntV/UZkD4bS+SM6pVpxN2Mwd +LJSLnxaf6AdOtWIpQ2y20DYXefWs1PGijzCJLR0Uf5OL292lgZySH0GbeGlx +mYOG5oilfd4hLShLni03UqAhoIF2/gBTCxqZuDjsTWi4SS13ErjVDONeZblE +Pxr2rr1ymb2jCb63KAfnaTQIrYSuG6hthJd9z1bbTzRUsn7lDKxsQE3jyo8V +tjwILa6b66uohz9nXQZNLg+DU0khBdUf4LlT0dj3Qh5Mj3YNTbTUYYXJmNPV +Lw/SyrE7Tb/UwnM0uZmSl4ee0yczhudrsPNO7+u3vXk4WLKx6wpvDaTHNEb4 +OegI7Top/WZvNdg7XtoFKNJBEZwUrtOvglTOe6stZnTM6dcIO7i+B3tL7dLH +QDq4pjIeBae8g5mfiH5GIR1X3cJfc7ZXYmZWMvT5VzpcDK59rFtXiafbA8eK +eRjoaV3bSFOrQJL5+ZCfhxgwWLrjmXyvHNVz0i91rRlotfvg9rCsDKohOsl1 +4Qz82T8scpytDFX+C8G2ZQzY+xV8efK0FI92+lRITzIQOFvju6D4Bg6aYQ95 +RPIhue0ym1frKxwNOKUkeCwfac09MWxuJSh2eimGW/n4u4Gp+KLUSwjVVsU9 +SswHs+42AYtPRXj04P3m1cZ8PJtyfzQSWYi4T0+WwlfyUdW3uq3mXAGUigQZ +etIFEBaI/d23JR/5uholskYF6Oqr28c6QceARkfIPr8CiPskbNhUmgdFOZdX +l/IL4HT+T+lsFA21rBoNjK8FaGqLaJsez4GQH7kou7EQvfOV5zgYWbhzt2FD +CwrBKpe7ZupBJthHlMPirhci1IMj1tIyHXYWllFh8YV4zVfgu+dEKpL3qXyl +1RdCp+JPB7dKCpizE9WWlwvBnHFEqfFgEoKq2B87yhQhvmJHg5Lqc2RqXCwW +uFAEWTXXULEncRBnWqJ+CyzC3bbDXhp1MXA/G+/0raQIws+Hre5xRYI/Ik5S +cKIIUVJ101aXwsAZt23otmgxMj/Xf5KlUCDDnPSTQ6cYWiaMK7YuvihcsXzW +dLcY9v/uVvBd544trWZ6H7KLUbJX/ODGOjsEDal5/+kvxv8A7N8JkQ== + + "]]}}, {{}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + Method->{ + "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + Identity[ + Part[#, 1]], + Identity[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + Identity[ + Part[#, 1]], + Identity[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 33.21001948227897}, {0, 0.09715256147582547}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{{3.817637498101*^9, 3.817637523899531*^9}, + 3.8176379865886707`*^9, {3.817638080223015*^9, 3.817638097089458*^9}, { + 3.817638411035137*^9, 3.817638418380022*^9}, {3.817638453141902*^9, + 3.817638469864127*^9}, 3.817638603759224*^9, 3.817638801668243*^9, { + 3.817638950488543*^9, 3.8176389801125393`*^9}, 3.817639384560536*^9, { + 3.8176394648201838`*^9, 3.817639475564313*^9}, {3.817640221335127*^9, + 3.817640248053196*^9}, 3.817640401002247*^9, {3.81766728274492*^9, + 3.817667297661644*^9}, 3.8176673405798473`*^9, 3.817718316939249*^9, + 3.818229637085619*^9, {3.818229702780876*^9, 3.8182297078089457`*^9}, + 3.825762991626536*^9}, + CellLabel-> + "Out[241]=",ExpressionUUID->"a225487e-1b09-4625-b1b4-0393225de258"] }, Open ]], +Cell[BoxData[{ + RowBox[{ + RowBox[{"h3", "=", + RowBox[{"h", "[", "2", "]"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"F3", "=", + RowBox[{"RF", "[", "2", "]"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"eq3", "=", + RowBox[{ + RowBox[{"eq", "[", + RowBox[{"2", ",", "h3"}], "]"}], "[", "4", "]"}]}], ";"}]}], "Input", + CellChangeTimes->{ + 3.817563268660089*^9, {3.817563829122241*^9, 3.817563846550528*^9}, { + 3.817563950998456*^9, 3.817563956525237*^9}, {3.8175645239988813`*^9, + 3.817564534320574*^9}, {3.81756485534698*^9, 3.817564862343175*^9}, { + 3.817564919676697*^9, 3.8175649235785027`*^9}, {3.817565106996109*^9, + 3.8175651474217367`*^9}, {3.8175652415905113`*^9, 3.817565250029232*^9}, { + 3.8175657444559927`*^9, 3.8175657689660788`*^9}, 3.8175669120549498`*^9, { + 3.8175677716518087`*^9, 3.817567773706285*^9}, {3.817579700926876*^9, + 3.817579701354711*^9}, {3.8175810533593073`*^9, 3.817581114447541*^9}, { + 3.817581149854197*^9, 3.8175811499220247`*^9}, {3.817581265163169*^9, + 3.81758126542041*^9}, {3.81758144220247*^9, 3.8175814490334673`*^9}, { + 3.8175815152710047`*^9, 3.817581521148234*^9}, {3.817581635837187*^9, + 3.817581700879589*^9}, {3.817581767691791*^9, 3.817581768673394*^9}, { + 3.8175821842992363`*^9, 3.8175821844066353`*^9}, {3.817582286431714*^9, + 3.817582297101211*^9}, {3.817582488847374*^9, 3.817582488974349*^9}, { + 3.817582803954041*^9, 3.817582804222094*^9}, {3.817618756754203*^9, + 3.817618757439868*^9}, {3.81761900296082*^9, 3.817619003035212*^9}, { + 3.8176203963382673`*^9, 3.817620396528458*^9}, {3.817626242723531*^9, + 3.817626282042306*^9}, {3.817627870666265*^9, 3.817627904779098*^9}, { + 3.817629704809123*^9, 3.8176297360288*^9}, {3.818229759701996*^9, + 3.81822980267845*^9}, 3.825758726252138*^9, {3.826007884715208*^9, + 3.826007887211458*^9}, {3.826008571401293*^9, 3.826008579185329*^9}}, + CellLabel-> + "In[468]:=",ExpressionUUID->"78606265-f50f-49dc-888d-33550f059b83"], + Cell[CellGroupData[{ Cell[BoxData[ - RowBox[{"ListPlot3D", "[", - RowBox[{"Flatten", "[", + RowBox[{"sol3", "=", + RowBox[{"newSol", "[", + RowBox[{"eq3", ",", "sol2", ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "1", "]"}], ",", + RowBox[{"gC", "[", "2", "]"}], ",", + RowBox[{"FC", "[", "2", "]"}]}], "}"}]}], "]"}]}]], "Input", + CellChangeTimes->{{3.8175612726329412`*^9, 3.81756128486736*^9}, { + 3.8175614038617268`*^9, 3.817561415404965*^9}, {3.817561511096093*^9, + 3.817561563944231*^9}, {3.81756250196518*^9, 3.817562507914916*^9}, { + 3.817562967760625*^9, 3.81756298304041*^9}, 3.817563161460335*^9, { + 3.817563206558021*^9, 3.81756320676147*^9}, {3.817563530710863*^9, + 3.817563550054001*^9}, {3.817563775700533*^9, 3.817563804069632*^9}, { + 3.817563971222761*^9, 3.817564086350409*^9}, {3.817564155680212*^9, + 3.8175641623358994`*^9}, {3.81756424029494*^9, 3.817564240399859*^9}, { + 3.8175645416987743`*^9, 3.817564542202907*^9}, {3.817564715061411*^9, + 3.817564723202471*^9}, {3.8175648450855713`*^9, 3.817564883921851*^9}, { + 3.8175650025642157`*^9, 3.817565074155829*^9}, {3.817565217921039*^9, + 3.817565230520749*^9}, {3.817565359356901*^9, 3.8175654247402163`*^9}, { + 3.817565602697175*^9, 3.817565635407323*^9}, {3.817566059389201*^9, + 3.817566077942937*^9}, {3.817566269837482*^9, 3.817566273547044*^9}, { + 3.8175663066250553`*^9, 3.817566306784181*^9}, {3.817566684914805*^9, + 3.81756668549652*^9}, {3.817566919102108*^9, 3.817566934549343*^9}, { + 3.8175696638331223`*^9, 3.817569664744486*^9}, {3.817579706169273*^9, + 3.8175797767735577`*^9}, {3.817581067506674*^9, 3.8175810689721537`*^9}, { + 3.817581121371869*^9, 3.817581169115347*^9}, {3.817581207766066*^9, + 3.817581270669099*^9}, 3.817581309702499*^9, {3.817581355857291*^9, + 3.817581356026667*^9}, {3.817581392130506*^9, 3.817581416424316*^9}, { + 3.817581457365512*^9, 3.8175814943565397`*^9}, {3.81758152586852*^9, + 3.817581526654297*^9}, {3.8175819155874557`*^9, 3.81758195123713*^9}, { + 3.8175820720836487`*^9, 3.817582073079625*^9}, {3.817582192281794*^9, + 3.8175821927535973`*^9}, {3.8175824979646*^9, 3.817582531058486*^9}, { + 3.817582601242318*^9, 3.817582616669943*^9}, {3.817582763042087*^9, + 3.817582823261053*^9}, {3.817582997786705*^9, 3.817583024595161*^9}, { + 3.817584829987904*^9, 3.817584859074748*^9}, {3.81758494165969*^9, + 3.81758496226119*^9}, {3.81758499940244*^9, 3.8175849995669928`*^9}, { + 3.817585077390765*^9, 3.817585077573927*^9}, {3.817585156651001*^9, + 3.817585156823139*^9}, {3.817585322721836*^9, 3.817585349348461*^9}, { + 3.817585456385895*^9, 3.817585457280986*^9}, {3.817585513558703*^9, + 3.8175855137401114`*^9}, {3.817613675501788*^9, 3.817613676578967*^9}, { + 3.8176168804169617`*^9, 3.81761688926372*^9}, {3.817618774003889*^9, + 3.817618793385603*^9}, {3.8176190151288853`*^9, 3.817619038205636*^9}, + 3.8176190698677187`*^9, {3.817619141079945*^9, 3.8176191871342373`*^9}, { + 3.817619234638775*^9, 3.817619240400311*^9}, {3.817619299848545*^9, + 3.817619332922262*^9}, {3.817619399549685*^9, 3.817619401809965*^9}, { + 3.8176196502657223`*^9, 3.817619664950913*^9}, {3.817619740359915*^9, + 3.8176197551387*^9}, {3.81761980328899*^9, 3.8176198034943733`*^9}, { + 3.817620410694891*^9, 3.817620463869529*^9}, {3.817620674916114*^9, + 3.817620678055534*^9}, {3.817620745057685*^9, 3.817620761178657*^9}, { + 3.817626286376536*^9, 3.8176263645243196`*^9}, {3.817627920512431*^9, + 3.817627961648692*^9}, {3.8176289379929667`*^9, 3.8176289382553997`*^9}, { + 3.817628977854362*^9, 3.817628981182324*^9}, 3.81762904026398*^9, { + 3.817629751676261*^9, 3.8176297825415983`*^9}, {3.818229743661914*^9, + 3.8182297488938627`*^9}, {3.8182298139507504`*^9, 3.818229816310824*^9}, + 3.818229853009067*^9, {3.826007900867858*^9, 3.8260079401484003`*^9}, { + 3.826008127440681*^9, 3.826008150233103*^9}, {3.8260082971323853`*^9, + 3.8260082972439747`*^9}, {3.826008404190578*^9, 3.826008404238015*^9}, { + 3.826008585010708*^9, 3.826008594433675*^9}, {3.826012704405863*^9, + 3.826012724301502*^9}}, + CellLabel-> + "In[471]:=",ExpressionUUID->"396a3ca5-637b-4194-943d-7ec379bcf47e"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{ RowBox[{ - RowBox[{ - RowBox[{"(", + RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "0.34617933981510546`"}], ",", + RowBox[{"A", "\[Rule]", "0.00025559611441859203`"}], ",", + RowBox[{ + RowBox[{"FC", "[", "0", "]"}], "\[Rule]", + RowBox[{"-", "0.05428446959381453`"}]}], ",", + RowBox[{"\[Theta]c", "\[Rule]", "1.154444079823068`"}], ",", + RowBox[{ + RowBox[{"FC", "[", "1", "]"}], "\[Rule]", + RowBox[{"-", "0.07438916235687108`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "1", "]"}], "\[Rule]", + RowBox[{"-", "0.02840058006998751`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "2", "]"}], "\[Rule]", "0.000997254233277863`"}], ",", + + RowBox[{ + RowBox[{"FC", "[", "2", "]"}], "\[Rule]", "0.0503395675616951`"}]}], + "}"}]], "Output", + CellChangeTimes->{ + 3.817582243098262*^9, {3.817582385638481*^9, 3.817582397851478*^9}, { + 3.817582440404005*^9, 3.8175824479120073`*^9}, {3.8175825951659813`*^9, + 3.817582624284917*^9}, {3.817582771007656*^9, 3.817582790104224*^9}, { + 3.81758295912363*^9, 3.8175829694259653`*^9}, {3.817583027875955*^9, + 3.817583190779282*^9}, 3.817584063702273*^9, 3.817584867935519*^9, { + 3.8175849339417667`*^9, 3.817584980641724*^9}, 3.817585038615395*^9, + 3.817585139927609*^9, 3.8175851869224243`*^9, 3.817585430610086*^9, + 3.817585477765168*^9, 3.8175855203843403`*^9, 3.8175855792410593`*^9, + 3.817613703655264*^9, {3.817613820666153*^9, 3.817613850447565*^9}, + 3.817613970041641*^9, {3.817616894358282*^9, 3.817616938169628*^9}, + 3.817618971174425*^9, 3.8176190263238583`*^9, {3.817619068552326*^9, + 3.817619077160112*^9}, {3.81761912964554*^9, 3.817619175572*^9}, + 3.8176192081695538`*^9, {3.817619251398644*^9, 3.8176192611467113`*^9}, { + 3.817619296755875*^9, 3.8176193494538918`*^9}, {3.817619385600893*^9, + 3.817619417396243*^9}, 3.817619473822008*^9, 3.817619517658676*^9, { + 3.817619647045698*^9, 3.817619702143152*^9}, {3.817619744218728*^9, + 3.81761983514673*^9}, {3.8176206689279957`*^9, 3.817620689262381*^9}, { + 3.817620739706464*^9, 3.817620790926754*^9}, 3.8176208714846783`*^9, + 3.817626520486795*^9, 3.817627350228532*^9, 3.8176277415834227`*^9, + 3.817628956472193*^9, 3.817629002825632*^9, 3.817629056020689*^9, + 3.818233161500917*^9, 3.8257607803594303`*^9, 3.825761120850746*^9, + 3.8257632795319233`*^9, 3.825764106769557*^9, {3.826007923264882*^9, + 3.826008038405919*^9}, {3.826008123160612*^9, 3.826008165509284*^9}, + 3.8260082910872498`*^9, 3.826008330378909*^9, 3.826008492624241*^9, + 3.826008594737713*^9, 3.826009192420003*^9, 3.826012724637988*^9}, + CellLabel-> + "Out[471]=",ExpressionUUID->"032de8e5-e62b-4c2c-a2db-afe60e4c0f47"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"GraphicsRow", "[", + RowBox[{"{", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{"h3", "[", "\[Theta]", "]"}], "/.", "sol3"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol3"}]}], "}"}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"Plot", "[", + RowBox[{ RowBox[{ RowBox[{ - RowBox[{"(", - RowBox[{ - RowBox[{ - RowBox[{"{", - RowBox[{ - RowBox[{ - RowBox[{"R", " ", - RowBox[{"t", "[", "#1", "]"}]}], "-", - RowBox[{"R", " ", "#3"}]}], ",", - RowBox[{ - RowBox[{ - SuperscriptBox["R", - RowBox[{"\[CapitalDelta]", "[", "2", "]"}]], - RowBox[{"h2", "[", "#1", "]"}]}], "-", - RowBox[{ - SuperscriptBox["R", - RowBox[{"\[CapitalDelta]", "[", "2", "]"}]], "#2"}]}], ",", - RowBox[{ - RowBox[{ - SuperscriptBox["R", - RowBox[{"\[CapitalDelta]", "[", "2", "]"}]], - RowBox[{"h2", "[", "#1", "]"}]}], "+", - RowBox[{ - SuperscriptBox["R", - RowBox[{"\[CapitalDelta]", "[", "2", "]"}]], "#2"}]}]}], - "}"}], "/.", "sol2"}], "/.", - RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], ")"}], "&"}], "@@@", - "EM\[Theta]2"}], ")"}], "/.", - RowBox[{"R", "\[Rule]", - RowBox[{"Range", "[", - RowBox[{"0.01", ",", "1", ",", "0.01"}], "]"}]}]}], ",", - RowBox[{"{", "1", "}"}]}], "]"}], "]"}]], "Input", - CellChangeTimes->{{3.819021988126603*^9, 3.819022137857568*^9}, { - 3.819022170506069*^9, 3.819022282412702*^9}, {3.8190223707428083`*^9, - 3.81902244172019*^9}, {3.819022480000938*^9, 3.819022501898999*^9}, { - 3.81902262904527*^9, 3.819022650595937*^9}, 3.819023085694929*^9}, - CellLabel->"In[51]:=",ExpressionUUID->"4355674b-0fd6-4516-8896-cd33a8476ab5"], + RowBox[{"F3", "[", "\[Theta]", "]"}], "/.", + RowBox[{"B", "\[Rule]", + RowBox[{"ruleB", "[", "h3", "]"}]}]}], "/.", "sol3"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol3"}]}], "}"}]}], "]"}]}], + "\[IndentingNewLine]", "}"}], "]"}]], "Input", + CellChangeTimes->{{3.8175672854849167`*^9, 3.8175673108365*^9}, { + 3.817567343605356*^9, 3.817567515945986*^9}, {3.817567689779602*^9, + 3.8175677001061993`*^9}, {3.817567852209393*^9, 3.8175678553653107`*^9}, { + 3.817569677608418*^9, 3.8175696880410147`*^9}, {3.817581502775428*^9, + 3.817581583359663*^9}, {3.817582250277421*^9, 3.817582268443882*^9}, { + 3.8176137509420633`*^9, 3.817613772032806*^9}, {3.817616947220008*^9, + 3.817616967115974*^9}, {3.8176195353257837`*^9, 3.817619546043696*^9}, { + 3.817627764775979*^9, 3.8176278238158283`*^9}, {3.818229824671139*^9, + 3.818229831606958*^9}, {3.818233166561644*^9, 3.81823316664911*^9}, + 3.8182444139503117`*^9, {3.826008373734087*^9, 3.826008396493952*^9}}, + CellLabel-> + "In[472]:=",ExpressionUUID->"050da7fc-1308-4d49-81b4-1f4efc54c09a"], + +Cell[BoxData[ + GraphicsBox[{{}, {InsetBox[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwV1nk4VWsbBnAhRIQkyVRpkChCUrmJ4pNwUFGROqEiSmigQRk6yUYoSZMM +kTJmFnuVksqUqZOKvdfaxgzbUKiv7/3+Wtfvutbe73qH53nvJYd87d0FBQQE +5swSEPj/88do3Znl1s7GTqLuw41XTI3VpY133dfbAMljKpfFZdTAUhmr8Naz +wJF6xRU90uvwMu3DCQe9PSitr7FrkTaBa19Z3XY9T2yc89HytbQdNCPzTpvo +ncY8m1cN2dJukO1cY7NFLwJdRauxW/oEwkKPlW7Su4VEsbZMoXmXwLIJOzRP ++zF2/j7i+/Z5DOyEO97aTuZBVj80yqImETduB3xSLCnG1C6xJkmbByjXaFra +OFkJ2bKBnf6XU3FY7LvbMYaNzwq244zbY7ietfvQLVkDt72LxSouZiNAxPB5 +0spa7BfzZBcb5eK38aTFjMQ7lMwOfuYolo8p/7gfjdr1KDcQXKwzXID1T4Q0 +VrIa0SgTXnE64zmmMv/Ehf9uwjuX7oeBlsU4u9IrSu36R5xLVrmoOlOCvGnT +/VICrQhO2vkw/0IZHllfLTWIa4Pyp3+0KiQrkJod0/JHpQPDDqfk8y9UwuWQ +cI1SzCf0f37bq8V+gcabPWb+ap8hYR1oIiBUjV9qBomqNztxw1Pd3oxVDY7G ++LnZml/xl5tqp/hCNtpM/BdfL/kGZ5t5d1xYbLDbciwLErpgusqxpmSYjcTr +JX7tiV2ojHl+ymSUDZ+t7OSZO104OLBR8Q2fDaVnzSNmKV1oOChg2zTBxpmw +icSWZ13ovtNu/2mGDW29TX0Tb7qwKXb3vWJRCkmxr/8xnO7CY60UxWwVCv7W +X+oqXbvJ73+5e/2HwmRHTHL2wW5Mj2nYJ1lROONu7nPncDf491Vsa3dQOH/h +iczZY92osmk9t8SGQnjuWSe9wG6UTVUn1NpTSJST52VFdUPajVvet49CRafN +rMSKbhQlXu0MPE7B+Kjgx/CqblBuU/cjfChUTzxPDaC6MS/6h+8tXwo1UsqW +DrXdUKtYoF94kkK9yQBLqqUbUvu07DgBFLpSI5TCBrohYeyfLX2BgtDx6g1+ +ihwkeLjMfx5FIeX8sJW9MgeMoOjRFBYFE5aKq64aB9Gj+Y2saArBOcGh/OUc +SGbFtx6OJfMdNWzy0+Eg1Fsuf3YChd7AvGOnLDnYZlCUpJhMxr+Uctc/kANd ++rFdTCYF79imXMezHGyV35x1IIuCRIrAK71gDhrPDMloP6Fg+dK1fzyEA76+ +vkRtNgX27MUbAqI4qBPrfziSQ6HwWlxjQCoHEu2T5nJFZD/iQ4VON3NQO+h1 +LZVNwSC0MTKhlYNdfuv/PkxRaD6lJFfYwYGIYa3ispcU5jgUqo9+5eDf7Mrl +d1+R/ZGht3kNcOC542b6lTcU9rDMrh4Q5qJ74JeO4gcK/PPR0hdEuehUd2Xe +ELOOf05MFufCQk81wL+ewmvrU5mfpLmokl2hUddAxpd4VOegzMVtj7nfPJsp +yF0VlLQ04GLHoUA373YKuadtEjw2cqEqXv5GtIOCtWeScthmLlaemBRLIb6y +XVeb2srFm9pihY+fyPjCh2w323Kh8VXn6MpOCk0h7Nh1R7goCQrKTuwi3xN0 +SX5REhfl4XPyknsptJqe3i54l4s+xXXaEn0UlMR8Agfuc3HNY0nGGeIn8fva +KtO44Ir0Rdr1U6h9anDzUB4XZvtylMcHKAh2DS7IruWioN3IQnyYwn/SudsS +3nHx3Svd7whxjPe/ARfqufhdO3qrhlh16k2rXQsXQolPG4JHKGyWfZQw8Y0L +A7dDI19HKQSaOy/ADy4+e8t2nhynUClut23VNBezvLRuVRELN20PkPlNnGZi +NXeCQpyLXitXkMYWt7ZbKcS5gfMSrkrRuF1x/AM1SeHHZpGakzI04q2mzMV+ +kHoQ+j2+V47GlfhrBdbEH6L7HbUUaWx02RbQTNz/uEaueTkNrasfIpp+UtDx +rTAvX0VjVaphodQU2X/9Av9UTRpC7cVtVsSi1IOWQB0azPDZ31XE6p+D4hdv +oVFWyK6/O03B66HfK2ETGn/0Lz9uJs73PDr+fSuN+8Iep0VmKJiO73astqQR +5aE6fozYVVJXzt2Rhq2IjMfKXxQe5W8rvb6HRl2oafwe4t49zq6Fe2lUveqM +CCc+mXLpsdBBGgeWl7/oIi6yiN+peZiGglr+rLm/KUwPZvDtPWkciwmaY0Ac +uqFhc8pxGkFl3z3CiWs7Od1vT9AI8beqyCaWvDwZPnqKRnZqd2sT8c33yk0m +58j3Jq/cpfBfCpkHvd2/hdO46DV48SbxkMglcdFrNEr1f/DziXWz43K0o2jM +d5HUqCeumCybOh9HozP21ReBPxQEkuvvpd2kkSaruF+BeJspx+zDbRo72rnJ +2sT1kXNYSg9o1Ftscd9DPF9Heb35IxrXo0IGjxI7ta3r8EqnwbV6pB9EnBxk +fj4uk0ZTR7BJJHG3mtPS8mwa6gm9c5OIV7z2esPJIfPjVCdlEB/zuugtXkDW +a1VXXwFxjnScjG4RDYmPatMviMefpxc5l9JId3B5V0u8cV/ZvpAKGhpqJ1ya +iC8I1AtkVtH4u2B9bgcxldad1kjRmLl++eVXYtEdE1Y/a2h462y4xSW2HhEb +UX1LQ3L1Gs0e4pgEpQSL9zTmzd58sY+41WidkW8DjTO7TOP6iRW7zL7dbKax +pkDe8/8+ELYn9EUrDV7Zzele4tTVXhq8DhomUsk7ecS9DRfqJTtp5DjMcuMQ +awXcOKX/jcZlg4c6X4j9FNMVXDg0ejx2U23ERVWllaEMjd7bMzINxDOHPxzK +7qXh+4+X2mtiE/Fu0ZYBGmbjl76XE4fljGfPDJH1uSd/Npe4zlHMfhmfho2t +6MtHxFLTi39YTdDwa9V6l0DscH9tst9Pcj4F3WPDiRPNzUyTZmgcfBaxIJC4 +s283j/1fsv6FJ/YcJvbQu7BOZjYDOadZcluIsz7FthqKMbB77cpaSTx8Ie2c +mwSDqbVDNdLEZ96+f5Ujw+D4eynvb+R8Vfp0HW2XY8BM7vr3FbGg3LjUn4UM +Vs7dNDuTONJ1sbONCgMrpR0xx4kHI7LguYRBoWdXuA2xdd7GFZfUGcT3G27T +JpYSdhrLW81AYSpDoZ+cf1+tnk91Wgyc2Ge0XhM37g6s5q5jYGYUMuch8Y3M ++KgFGxjc7nsq70A81rzMX9uIgVbIdYvVxI6/8vdabGHwOnIhBIgX2DatPGvG +oHgoI+QxqdfEcUmq05aB4l3Grp/U/5Ty3ccT9gysXfcVFBPvtVgTLbWbgfKY +5+crxIuTrPab7GewSrU8SIH4HiImHx1hsHBDyJQu6S9p1wQ0vUIYtOs5v1tD ++pdIYbRMaCiD77clTvNIf/P4ovIzOYKBiqgW7x7xqnVbauqjGEQ/Xi81lzi7 +9ewB3SQG0s3RIe2kn+arjcVN5TOQt4pt1x0j9Wh1+ZxsEYNksxVZHXySZ07J +HNQsZbBeUdT4PLH+67XaLlUMWAbqmRTp5yVe3rXV7xhUKMj9Y0z6fVUR8yuC +ZsA3WmQ/PUjhfZFqpFcPg4mcz8lxxB1Fzots+xnMHwtt1CQeKfqgLz/CQNhZ +he9E7pslxc99UmcY9DzwWZxO7qcrxWFd1bI8VBU+GJLgkfoqrvJJXcCDtuas +8jiG9IfiqV8RCjys4cT5KBIXFh9fZKvCw3ov7jV1mgJTvMv+iwYPW5atT9Dk +ULAoWf5qyoSHzGJOh/BXsn8lB+y/mPHgqVAgEfSFglvJ7a7q7TwceyGsPkLu +1zMlkr8jrHmYVKgWbv9M+mPJhL68Ew9nr6ZduUXuY4nSmgxdXx6alz05wG2h +0FDqHul1l4c4e5fWtDoy38QKVtQDHgR3GLf0vaXAOT3/Rs4j8r7bxOU1xJP6 +7MSxTB58a12Hn5K8oZSvlB5UxEN653GBhySPHMv6WB3ZwMPQf8R4Fi/Ift8x +nXwyqwdGkzEtt3IpSJ9LnPog3IP31sui8kgeUnQe/jUs2oOKS/tH3z4j/WLh +XSE9qR4kDBpXTJL85Bj3U7pCsQc+tLqTCclfDyNzNN+v74FpAisy7iG5r4OV +Dw6696Dycs60Iclzozqqcz8d6QGrsFjJKIZCeo9acY1XD/Qkk2SNSP6TdlCX +vH+yB5d8rpw1IHmR0dAs/et8D/q8Z+ss+YfkkXZDmeL4HggtKF774hLp37qO +7JCXPTDctLxwAcmn4X3Xlixc0gvloupV+pYkby0Tk5pY1guBltapke3k/LqE +TTev6EVc3JbUJ9sovGu8+JG1phcFkmmhymZk/BL/MBHDXqzerX9ybAvJf+Gu +fRM2vZC750d7rqfwbJluXktwL562frnup0yh3eWTyY2OXsxdfqdyzhAb6YGn +Up597oXKg5i1zoNs+EdLCr/72gvLxvvI6GdDlm36RojpxdfIhI3oYcNaPWtn +wGgv7hlmxLp2sUH1n9vrJN6HJR1lJXub2Xh2WslfZXMf1n0/KW/5nI2w2AMZ +Wff7kDH+b9VIIBvzTtz56e3cj/w/hpuCx6oxKTkv9v3SASxPder926YaZbsN +5dq+DoB9QFJwx5YqhKVvnVx7axCFUXOPxJdX4unzUNWVB75j4NrelOD+cuT5 +Bq+vXTQErfKI+nGJMsj2PWGJ0EMwqB4K3dFSjHNHKywTsobhazvAKvR/Djcr +9iRPZwSTwfId4dIFyEP14F83R1Cec9ijfHsuTogrdsiMj6DD9hFrYCoLBU40 +f8p2FMVavgLfV6UhLdwqL7dgFPFvcsxF+5Ix+5qEe4U0H+kT1RWWNtFwm1PX +uU+Wj03Xd3ckt7BQdvWq48x8Ph5dP7a0ZS8LJyJmmxst5MMkJheDHlH4N/TP +0hJlPuRrTVnU+UjkXhzrKljNx1Dj31Mi6RHYG/B5/xNzPng/9VXa2BdROH67 +xWo7H6nyIhUWby5gnr+Tdb8FH2lU1Y2L78/jlV/rJo0dfLwYz+KZtgVh7YkG +xYy/+JAMyheX6TkNYa+XHSmufDgI6+TnzvjCtT/Ebqsbn9RFrtTeP8dRetSk +tvsgHxXi+eXRgt7wOVJZrOZO/r9hxZ/7okfwyb345j0vPuSOFIw5zHWDHhMg +ZXycj50blhpWKewH67Be+BcfPp5Fjs4ZXugE87/zApT8+PirZ9GSxPl2uMfx +/V5+io8FNtsrl6pZYuqgtvu+AD7qPE0Xb19oAsfuwc7pQD6MTjc81lu0Ds/c +njgmneEjUj5vu9BBW+P/AW4/ick= + "]]}, + Annotation[#, "Charting`Private`Tag$165015#1"]& ]}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{13.821428571428575`, 0.37499999999994316`}, { + 4.095234920676575, 0.3750000000000284}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.154444079823068}, {0., 0.14843494596668072`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {143.04997677474404, -84.72370844417306}, + ImageScaled[{0.5, 0.5}], {268.07932208561704, 161.37849227461535}], + InsetBox[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwV1nk4VV0XAPBrKsqUoohSEcpQUimyVEJmMlVvpgxFRKZQqMykqEwJpTJG +5ntv3rsIZahQSHlTIdxz7zXcpFLqO9/55zy/Zz/POXuvvddae4PbWRsPXgqF +4sJDofz//X2287yi2VE9yv8f8YeNCuJ6dvlau4FC+ZHdvc+dkbrua+MZLSOg +RCv+DNkXw4jNKZww8LIGStOEGH9bBqPlwUv/I1oOQJlpcD287z6Dt+r7T1ee +E0D5NK1Uk1/JkB++vl/byxUo/rIGH1vrGTiqGIfm7kA5VaNft8hgODHpnYZa +XkDRHzuvtq+VsThlKfZKxhsoA7x9Xnc6GLlzY0fseHyBInjcIjG/m6GzEJb1 +38RZoET6N7ZveMPgRMVPbfcKAEr9GTa2DjAaeV9fD35/DiiS7K8l1PeMlFjZ +HTTzIKAs+ZQYtzjM2JpcFaqvFQoUn/diy/eNMRZEfkvHFJ0Hynp57bHBcUbn +dcPG5zLhQPlr8mPnHSbDO2OIYslzESiKA/4H8qcZe6U3F6YHRQLlouSJSL9Z +hlCu/6GBiSiIVilyytzwldHXw9um7nUJKJfcwi60zjN0JZQzeuQvA0Xd3tK4 +9gfj/hFzr3PvL0P09rYIS+oCI3AgU6jePAaiL2TsF1v8w5D4T9Vin1Y8UJI+ +Chbr8mO4nM36j5x4iP4Ea8NiBXDEKXQmuigBoodcNLwGl2DV5+b0Vpkk0H9l +sJCdK4RWE/ZvTXmuQrSxGTjkiSFV+UIxh056W0vrklxxlPe+G3YtKBUKXO/+ +mfZdgdNs1to3E9eAMlEQyJZfiUZh+tvUvNLAirWzMLlFChek36z505IGj8WC +qvqpq7GC7sHTLZ8OBbFfrdRq1qDU76TX/u/T4XqFwC/+Bhkcj+wPqjW/CQVC +6sSRX+swNsabpqOVCY6KNB0NHQWc5M8+NJSVCTN3NR+IsxXQJPZ5b/hiJrj8 +LQ9i5iuiaJwCQXuWBdtMzQUviSthVvywjPbRHHDZSTc0lNyCpUk2F7Qi78Ca +HwraV+23ofDyS4J9I3dAWXluf92zbeiXXHkz0CgPdJ8FBjtqb8cdKcKPqsXz +wUXmmaa4vCYOG476ZVkXgJV44MxBHi08ZXwnX2rsLvTZDR6vWaaN2Qm1Hp5S +92DbhYQdiena2NnetbXe+B5M7rBIfrd2D6odXmiwe3QPgrwOpzA19yL3sEPP +zZBCMO7eHdt2ThcjTFfwrBR6AI9NT+6pytXHVItYNzH1YtBKnjFnzhzCkJ+H +C4VOFENu0bTaUUNDdLovOsaXUgz2XbOWvrmGqLGQ6fGDWQzLzrrrXzYxwp4H +pac+PygBqcE1ck4Vxiix2O1XI1cGkz8Vp97eNMXMMpkIB5EKuDw0ZG89ZYXR +9h+fWOtWgE3OQzTcZI2neO7/NvWpgEdWdm+vOlqjtoNapH5HBSi8jOJb0WqN +73n1L6nEVoKGf/YwkWeDoo+qWy5GPoZVFH1B5klbtOIf7LCcr4I44x1bZrc4 +4oNwqXl7kWp46ugdPHDKERdmbDc6KVSD9ByFIVTkiPc/9IafsakGC57gnccU +juKP+q6tiRXV8CDGFu5tPIYFp/HqU88aEL24+0mn2j84++qh9c63tVB+S2yJ +Orig4aEvF3WnamHIpv/nLzcXzH2yqfSgQB0Q/jH5M3HkeHEBr82OOtBYYzxv +3u2COZdyavyu1cHkUa+EQVdXPKCVKllsVA+ePZ2cLalumJ4d/E6G2gBGyZF5 +VXwe+Hrp7QrJ3gYYjtLGFg0PXBnSdEWcaACdXj0K3z8eeNNmufoSWSpUslX7 +BOs8MHP53cuzUVQwnc4+uv20J+ZefLG13YgG+rfVIrnvvPCh66bI4Ld0eJQ7 +EiH9wRufqPRu7Jn/FxatfhDxtf7oaG6+U16UAUFHba6bvfLHOf8OI39FBsxt +bPNUmPRHVWrzGXFbBljsPJgvIhuAuYbV9VZVDMi9EyD4LCYAI0/eMOn1QZDb +uVvg5dFzePfVlj2n/ZtA1EenSFEiCN0FOS7eX5pBRPPY3ZQnoegUZvXys0gb +pFbVBYrYRWPwEu26HKV2+BHVGPr9eCwu6s0b/VreBVtaoqs2Zyfhz6Ab33vU +X8HZ5Zuc685cxx1lfCpKqT3QvCN0yeGsG/iz5O+NuMVeyHReLefDzsAwJZ+r +8ilvQGpRV8WxJQerFvb/I0rph760Hcf1k/Kw0CyBtuvGAPzQc9SA03fxfvn1 +vr/rBmGz+Zi8R1YhnnDjb5O9/g62X7v+JLrqAfZkTBwMkh+CiRcSo8ECxfhb +flfW+oz/IOViXQx9bymOqMyFC2wdhrE0X5/e++U4oB+0NoX6Edbcu/HsGX8l +Ng9UGtfc+gQG8wevH8t9jEFmHzr/dfoMZXz32z51VCGfb9PuczIjwEnX69j4 +oRpzbsbwhb4egXWtRfEDIzWYGhEtJZ0zCrLjOt3fubXoJKK5ysN2DCLXuXka +jdZhstPaoxbrvoCFRHbF2/56xPovv+PHvoDc4Xea9RUN2E3zSPa5Mw604FPP +Vp6k4mBWY+rVgnHgPGGZTXtQcSR0ZXpl4Ti8uOUm1nGKivM7m7O+loyDQcYN +g1A/KspWyz6MqB+H0t639owwKnqXvmlK7h6H5nUq1vPXqLjk9v75Mp4J4Pc9 +bbz0CRV1L8i5sj0mgPt1VCt8OQ1nt68XfndqAlq///5eK0LDhxPyDW0+E3A3 +yuIPR4yG4kcURPIDJqDC41bvsVU0/KKylWZ9cQJWmMZeXC9Hw9S32isabk5A +opHWflt1Gn7WtG2+1DIBvw9IKHpa0jBj0u6M37MJIJ5XDnhZ09Asz2H18Y4J +UJTfUuN1hIb1Qsd9tbonwPpKIdPVgYZJn1ylJ95PwMNjSrv1nWmolXo2wIw7 +AXNmUsWFfjSMYyZtWL1hEvao14dRUmjosElQ9NumSTgpUrDu36s0VD4Ru/B6 +8yS0ys1Ohl6jYVdP1JtU1Ukw1npHTKST66EGxS7RngT3JRrXqrJpmBPnxPxm +MQkG16TqiIc0rNikWdV3YRLeF/maTCMNo05U3qmOmoQspQT1s800tMpUTbp+ +eRK4Z9zkOU9p+HWZ0kmzhEnoiz2+ZbSNhtrctZKtNyZBkBH1tKGLhk+bBMJq +SidBJuPQP7xvafj2xDv99MFJmHP7OL+aTcY7JPBexdAk1E0+Mgzk0DDomgh/ +1/Ak3M29oPFiioYSzfuf832ZBBPqvvaQWTJ+CqXmwbP/X5/er4p58vtE+DHH +ZUy4r2OeWkqhYxqfZGOQCBNuxy7+HOaho4tspVyaOBNcC1WnxfnouGg++qlD +iglXOjee8xWgo3aVqZfOJibUSCmj4DI6VoTKBq3TZYLQ8185zyXoePF6ff9e +YMLHqOsqfSvpaFZitdvhABOEX/FpDq+iI/N9zMI1Yybkfs4uJ6ToqKDHieax +Y8LNzUvVvsjQMYefcXXMlwmU/pxI5410PC3nOE0JYELIaeWdBzeR/9/FtZIL +YoJaQL+dggId+702r7IPZ0LbYHbvsCIdxbtSc57HMaFPRzpTS4WOsWnORaX5 +TEhLn49w06Aj5dL9x2n3mBDZYvlXbBsdw/2ZtPMPmGBdTNd6QtrPMvCFYRkT +op0Sq5dp0tFeJH52pJ4J21e5jF7VomPP766FDhoT7Nbf+aS8k44mbHH+qkYm +JK0PSGwmDV05UlFPmcA3mveetYuOyokVOmtfMWEq3cZdYQ8d753/asDbywSR +pYlF5aRlT2lbMN8wIfFt/zXNveT8jZ66NLxjwq0Yf7PdOnT8yT8Qe+QLE9yr +BpwU9tExaE7m2t5JJuRbcGqySU+NOmdtYDGB2n+jSFiPjiNPmaXTM0woKjP1 +YpHujF7sTv7NhLK8yO0p+nQ08D/w7txfcj72au5TpBnO8SNHeQkYLP+obrGf +jtV6K74pCRLwxmJp4pIDdFRVt/8jupyApWcHpZxJP5S7vXRehIC1/e576kjf +/q0g07qSAIa0555jB+koxT69qUyKgD0rdkmWkL4+VKGaLk3A6ejQy99Ix9C1 +wWU9AQ7zfKLxBnQ8c97M/fcWAuaDNF+nHKLjuFea76gaAWG8kRvbSbs4DIR0 +biNgk2DhIsWQjna7XBKzdhEQi1utfUj3KD5Ij9pDwHXHyee5pE0kidueugS4 +am971kVaby6wQusAOZ4tYb/RiI7UUWrD2kMEiBgJjB8mrflmsYnXmIDUGzsW +/EiXPz3QyTQhIP9YR1oa6c3V8W96zAnwc+GWVZEuuPvivwYrcr3W7426Scuk +rRjPO0IAq6XcnSB9M9p+OtaegGmtWzx8xnQU87/948xRAo4tRzlp0nF6iyHp +/xCwspOtr076j7DztwZnAoKFVwXokw4Zagr84EaA+x3FR5akp0o2cnk9CQhU +kpg7TtrzfIy/8mkCvmh1GniQ/mA4PmV+hoBSDb08H9K2ksa+gWfJeLs6/fUj +/WK0hJV1joCArzJeZ0kbVC/3ZgQT8HzqZN8Z0k+ifSdHz5P7qati6EVa07Lb +U+gCuf+Fx544kS6V2/5FPYoAnlcTmkdIb2Snn7S9TIDXgaYyA9LZ9LnPYbEE +hJ96o7CDtHiivUt+AgEn4sXvrCOd4EAdbk0m59vmuXIpacpmmRNEKgEZW9ri +2GS8QucihsTSCXhwW2b+Femppx+O7rxFwI9hO5cK0p5pMHgsi4DNOR6tSaSH +ne/aR98m42GjvcGdtL06X/+DPAL+O9MYvJf0oa5nvTP3CTCkp/EMk/vfmK1s +JVVMQIkk7iojrXUq6ZVOGQGcTfbOwaQVBCy64qrI/TU8H/f/85X7pvJweS0B +N6OHLzeT52/lvRXtvQ0E+NLc/aJI80J/qyyDgGKxOFEueX7DRXYfPNBMQITV +r6aHpGeHspq9WglgDhg4OZL+dP4fRnUnAcJZS+2qyfPvaMTQHXxJQOvXo+X/ +z5ceSfkniz0EiL3VJP6S+YTVow3GbwlYkFCR3E9616VDu/zek+tPWkf5QOZn +hWVR7Y0PZHzaTF4Gk85je1cNjxJw2GNeKI/M5wubuaVBM2R+KB6faifzf27u +iErOVwK+xbW/MCXt01JXhPMEJK15HtNF1o9jLmH3ly0SsD5348VmXTruyaHk +FQixoKTlu388WY/mRcTSXmxkwcvk/oBwsr5J16xtaFRkwXjyFpUBsh7qOip/ +KFdmwUCmnoQG6cv39qtcVWfB9E6pkEGyforuDmo238uC9uE8HyGyviq5vJt9 +Zc2CI1P5hqNkfTYRGF+Ntiww8JSpXEHar5S7r9KBBa62Ejr7lOlYO7c86doJ +Fli8Hqclb6ajfqLeRqvTLFiolNi7hOwHjtWFNr3RLHDaWxzhv5aOEQ6Pzzdf +YUHEw5DH/mQ/yfvdmFcVxwJtj1MLvtJ0HDMcINJSWHB8fm2n82o6+g8JXrHJ +YgG7MwHkyX6VyO9X86aSBR1dR6gryf5Gt9deNTDMgltd4cmMbzT8GdUU0fCZ +BY6v/03xnCP7d4nxaNYYC0wMD99f/pWGDb8cq48TLDih2iFhPkPD2oIwq8/f +WBC4YNdfTtDwEUFPYQuzoS/qrsbHYRoWRO4T4NNhQ/yAsaoQeR/4WNR2Zmwf +G9zKEk1sWmi4rte8r02fDSu8PU5mkfeJ3E1OhQmGbAgROHdpLYOG2e2R+0Vt +2NDuFma/WE/DdImmi9Kn2TDd3lKgXkzD2IcH5jUy2cBupd3an0D2/4qJ15Y5 +bMhxfV25EEvDP/UplWfvsEG3ZUzm8RUann8+cKqykA2jJ0M+ikXR0HvSe0j9 +MRtsNrXwFgbT0HLLjSa1DjbIzZrWSbnRULpiNGnrLzZ8KJn/sFWbhvb1CV6m +f9jAY980fmYnOR+GmoEPDweizhrIlmrSULg7dLF0KQc0O1mC0mrk/6eX+29Z +xQElF2xv30DD0e1adipqHLDabTfit4yMV13MeiVnDgz++zD45SAVM272Fa5w +4wCvrZBGRz8VIwMVlH+7c2DZvojA5tdUtNjeuq3XmwN3Kjqzi15Qcaqc70BE +CAdW+D7db9JERfX7l927r3Lg424Z1cmHVKxMjy4JbeSAcEnVy6gAKmYF9Ki5 +IQcKDslILifvy9FW8tVmTzkwssamI92bilaiTfQN7RwQVXINyiTv3zOJf7u6 +3pDjS23pwXZU3HYpcmo9iwM/hH9oxGpTsershR3t0lMQ86tanPmrATPUmKqz +slPglOmnXv69AS+w7DbLyE/B02fO37y/NqCxl4b0mc1TcGDsV9gQ0YDDTiN/ +xHZMwVvhFp2Edw24zMK408FsCvJVXVPF6hvQTXWV60TkFJR9but+4dOAEsyy +1CVjUxD/YplDY0c9rtp6s0N+Ygr63wWsCmutR0nfC/w6xBQ0rrlnvx3rcc2s +WfjZmSkIz77tfrO2Htf/5HgM/p6Ce/w5sQr59agqtG1fqeQ0DODtHp/AejRU +qWWZG03DLkHNralr6jH8dKPxrdJpEHjEd2PYtg6VLltuDX80DaFKG3I+W9Rh +X86IiPPjaYhXnAv9ZFyH6i8E3yjXT0Mlp7WmV7cOR9TtTjQ2T8Mtf1vxywp1 +aDrHCRgdnAYJoflI6a+1mIrXXmbxzUCUwxcd2au16GLSPD++fQYKHxrt2lNb +g1XQxLbOIMf/5UQUFFSh/zKZwRVzM1BiaVrV3FyBNY5j3J+Ws2DCvzve6UkJ +PogzqXpcMwuDt3e9j7laiAJJyz0axblQeod3XdHGHHQR6vzvuAQXFLoyZ89/ +yUZ6QoLtr5VciFJ9kKdWnI3+8QIGe1dzwWbhhQ+oZeP7mL8bqXJcCH1WJ8+/ +KwsfR339VLOFC/4X0z2FD2TgseChf8oMuPBq5OAg62A6Wc+y+0wMuWA/+DtR +mC8dxYIczQgjLgjrnj8s9jQNW8/166iYcuF7yaZBOqShhn+3TJE1F8rzdl4q +2XMd+X1aBu85cUHyZ30PwzIFnYhLVgdcuMBkZrB1OpORdlq//bMrF6ZnVjpc +MEhGv1P/Nsh7cOFl6M0xQ+0kfOfRkJHnQ37f7Vg4j1wCan0JFtXz5YKoyevC +zFvxmOquFffBjwtuGbvrZkTi0eBkVbDsOS7MrD39D2sxFvNGznKeBHLh7oMr +gynBsfjTVd3jeDAXBvWUhWbZMWj7mf3fQggX9GQufl7tHoMVLmW2Oee5ELSy +2JZn6Ar+D0eDZdw= + "]]}, + Annotation[#, "Charting`Private`Tag$165061#1"]& ]}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{18.281728316326532`, 0.375}, {4.095234920676575, + 0.3750000000000284}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.154444079823068}, {-0.1026677729341381, 0.}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {431.38008019668115, -84.72370844417306}, + ImageScaled[{0.5, 0.5}], {272.53962183051505, 161.37849227461535}]}, {}}, + ImageSize->{ + UpTo[540], + UpTo[167]}, + PlotRange->{{0, 576.6602068438742}, {-169.4474168883461, 0}}, + PlotRangePadding->{6, 5}]], "Output", + CellChangeTimes->{3.826008397009801*^9, 3.826008507422884*^9, + 3.826008595888225*^9, 3.826009193863812*^9, 3.826012726730015*^9}, + CellLabel-> + "Out[472]=",ExpressionUUID->"5c8a355d-e522-4c74-8a53-b7d46e9c333f"] +}, Open ]], + +Cell[BoxData[{ + RowBox[{ + RowBox[{"h4", "=", + RowBox[{"h", "[", "3", "]"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"F4", "=", + RowBox[{"RF", "[", "2", "]"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"eq4", "=", + RowBox[{ + RowBox[{"eq", "[", + RowBox[{"2", ",", "h4"}], "]"}], "[", "5", "]"}]}], ";"}]}], "Input", + CellChangeTimes->{ + 3.817563268660089*^9, {3.817563829122241*^9, 3.817563846550528*^9}, { + 3.817563950998456*^9, 3.817563956525237*^9}, {3.8175645239988813`*^9, + 3.817564534320574*^9}, {3.81756485534698*^9, 3.817564862343175*^9}, { + 3.817564919676697*^9, 3.8175649235785027`*^9}, {3.817565106996109*^9, + 3.8175651474217367`*^9}, {3.8175652415905113`*^9, 3.817565250029232*^9}, { + 3.8175657444559927`*^9, 3.8175657689660788`*^9}, 3.8175669120549498`*^9, { + 3.8175677716518087`*^9, 3.817567773706285*^9}, {3.817579700926876*^9, + 3.817579701354711*^9}, {3.8175810533593073`*^9, 3.817581114447541*^9}, { + 3.817581149854197*^9, 3.8175811499220247`*^9}, {3.817581265163169*^9, + 3.81758126542041*^9}, {3.81758144220247*^9, 3.8175814490334673`*^9}, { + 3.8175815152710047`*^9, 3.817581521148234*^9}, {3.817581635837187*^9, + 3.817581700879589*^9}, {3.817581767691791*^9, 3.817581768673394*^9}, { + 3.8175821842992363`*^9, 3.8175821844066353`*^9}, {3.817582286431714*^9, + 3.817582297101211*^9}, {3.817582488847374*^9, 3.817582488974349*^9}, { + 3.817582803954041*^9, 3.817582804222094*^9}, {3.817618756754203*^9, + 3.817618757439868*^9}, {3.81761900296082*^9, 3.817619003035212*^9}, { + 3.8176203963382673`*^9, 3.817620396528458*^9}, {3.817626242723531*^9, + 3.817626282042306*^9}, {3.817627870666265*^9, 3.817627904779098*^9}, { + 3.817629704809123*^9, 3.8176297360288*^9}, {3.818229759701996*^9, + 3.81822980267845*^9}, 3.825758726252138*^9, {3.826007884715208*^9, + 3.826007887211458*^9}, {3.826008571401293*^9, 3.826008579185329*^9}, { + 3.826008613577992*^9, 3.826008639890254*^9}, {3.826008725532415*^9, + 3.826008766732915*^9}}, + CellLabel-> + "In[537]:=",ExpressionUUID->"37ec5e26-c9a1-4c3e-b046-f5bdcb69b8db"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"sol4", "=", + RowBox[{"newSol", "[", + RowBox[{"eq4", ",", "sol3", ",", + RowBox[{"{", + RowBox[{"gC", "[", "3", "]"}], "}"}], ",", "1"}], "]"}]}]], "Input", + CellChangeTimes->{{3.8175612726329412`*^9, 3.81756128486736*^9}, { + 3.8175614038617268`*^9, 3.817561415404965*^9}, {3.817561511096093*^9, + 3.817561563944231*^9}, {3.81756250196518*^9, 3.817562507914916*^9}, { + 3.817562967760625*^9, 3.81756298304041*^9}, 3.817563161460335*^9, { + 3.817563206558021*^9, 3.81756320676147*^9}, {3.817563530710863*^9, + 3.817563550054001*^9}, {3.817563775700533*^9, 3.817563804069632*^9}, { + 3.817563971222761*^9, 3.817564086350409*^9}, {3.817564155680212*^9, + 3.8175641623358994`*^9}, {3.81756424029494*^9, 3.817564240399859*^9}, { + 3.8175645416987743`*^9, 3.817564542202907*^9}, {3.817564715061411*^9, + 3.817564723202471*^9}, {3.8175648450855713`*^9, 3.817564883921851*^9}, { + 3.8175650025642157`*^9, 3.817565074155829*^9}, {3.817565217921039*^9, + 3.817565230520749*^9}, {3.817565359356901*^9, 3.8175654247402163`*^9}, { + 3.817565602697175*^9, 3.817565635407323*^9}, {3.817566059389201*^9, + 3.817566077942937*^9}, {3.817566269837482*^9, 3.817566273547044*^9}, { + 3.8175663066250553`*^9, 3.817566306784181*^9}, {3.817566684914805*^9, + 3.81756668549652*^9}, {3.817566919102108*^9, 3.817566934549343*^9}, { + 3.8175696638331223`*^9, 3.817569664744486*^9}, {3.817579706169273*^9, + 3.8175797767735577`*^9}, {3.817581067506674*^9, 3.8175810689721537`*^9}, { + 3.817581121371869*^9, 3.817581169115347*^9}, {3.817581207766066*^9, + 3.817581270669099*^9}, 3.817581309702499*^9, {3.817581355857291*^9, + 3.817581356026667*^9}, {3.817581392130506*^9, 3.817581416424316*^9}, { + 3.817581457365512*^9, 3.8175814943565397`*^9}, {3.81758152586852*^9, + 3.817581526654297*^9}, {3.8175819155874557`*^9, 3.81758195123713*^9}, { + 3.8175820720836487`*^9, 3.817582073079625*^9}, {3.817582192281794*^9, + 3.8175821927535973`*^9}, {3.8175824979646*^9, 3.817582531058486*^9}, { + 3.817582601242318*^9, 3.817582616669943*^9}, {3.817582763042087*^9, + 3.817582823261053*^9}, {3.817582997786705*^9, 3.817583024595161*^9}, { + 3.817584829987904*^9, 3.817584859074748*^9}, {3.81758494165969*^9, + 3.81758496226119*^9}, {3.81758499940244*^9, 3.8175849995669928`*^9}, { + 3.817585077390765*^9, 3.817585077573927*^9}, {3.817585156651001*^9, + 3.817585156823139*^9}, {3.817585322721836*^9, 3.817585349348461*^9}, { + 3.817585456385895*^9, 3.817585457280986*^9}, {3.817585513558703*^9, + 3.8175855137401114`*^9}, {3.817613675501788*^9, 3.817613676578967*^9}, { + 3.8176168804169617`*^9, 3.81761688926372*^9}, {3.817618774003889*^9, + 3.817618793385603*^9}, {3.8176190151288853`*^9, 3.817619038205636*^9}, + 3.8176190698677187`*^9, {3.817619141079945*^9, 3.8176191871342373`*^9}, { + 3.817619234638775*^9, 3.817619240400311*^9}, {3.817619299848545*^9, + 3.817619332922262*^9}, {3.817619399549685*^9, 3.817619401809965*^9}, { + 3.8176196502657223`*^9, 3.817619664950913*^9}, {3.817619740359915*^9, + 3.8176197551387*^9}, {3.81761980328899*^9, 3.8176198034943733`*^9}, { + 3.817620410694891*^9, 3.817620463869529*^9}, {3.817620674916114*^9, + 3.817620678055534*^9}, {3.817620745057685*^9, 3.817620761178657*^9}, { + 3.817626286376536*^9, 3.8176263645243196`*^9}, {3.817627920512431*^9, + 3.817627961648692*^9}, {3.8176289379929667`*^9, 3.8176289382553997`*^9}, { + 3.817628977854362*^9, 3.817628981182324*^9}, 3.81762904026398*^9, { + 3.817629751676261*^9, 3.8176297825415983`*^9}, {3.818229743661914*^9, + 3.8182297488938627`*^9}, {3.8182298139507504`*^9, 3.818229816310824*^9}, + 3.818229853009067*^9, {3.826007900867858*^9, 3.8260079401484003`*^9}, { + 3.826008127440681*^9, 3.826008150233103*^9}, {3.8260082971323853`*^9, + 3.8260082972439747`*^9}, {3.826008404190578*^9, 3.826008404238015*^9}, { + 3.826008585010708*^9, 3.826008594433675*^9}, {3.826008644130653*^9, + 3.8260087820215483`*^9}, {3.8260127336630707`*^9, 3.82601274582996*^9}, { + 3.8260128082075777`*^9, 3.826012825871472*^9}, 3.8260129563388166`*^9}, + CellLabel-> + "In[540]:=",ExpressionUUID->"aafc8bea-bd59-4ab7-b436-168abec75b4d"], Cell[BoxData["$Aborted"], "Output", - CellChangeTimes->{{3.819022065254901*^9, 3.8190220870412683`*^9}, { - 3.819022207596888*^9, 3.81902228293076*^9}, {3.819022400620535*^9, - 3.81902241317201*^9}, {3.819022617754589*^9, 3.819022643540184*^9}, - 3.8190227114934464`*^9, 3.819023161868698*^9}, - CellLabel->"Out[51]=",ExpressionUUID->"b8a18520-7b45-49b0-af16-64f6d0a9c819"] + CellChangeTimes->{ + 3.817582243098262*^9, {3.817582385638481*^9, 3.817582397851478*^9}, { + 3.817582440404005*^9, 3.8175824479120073`*^9}, {3.8175825951659813`*^9, + 3.817582624284917*^9}, {3.817582771007656*^9, 3.817582790104224*^9}, { + 3.81758295912363*^9, 3.8175829694259653`*^9}, {3.817583027875955*^9, + 3.817583190779282*^9}, 3.817584063702273*^9, 3.817584867935519*^9, { + 3.8175849339417667`*^9, 3.817584980641724*^9}, 3.817585038615395*^9, + 3.817585139927609*^9, 3.8175851869224243`*^9, 3.817585430610086*^9, + 3.817585477765168*^9, 3.8175855203843403`*^9, 3.8175855792410593`*^9, + 3.817613703655264*^9, {3.817613820666153*^9, 3.817613850447565*^9}, + 3.817613970041641*^9, {3.817616894358282*^9, 3.817616938169628*^9}, + 3.817618971174425*^9, 3.8176190263238583`*^9, {3.817619068552326*^9, + 3.817619077160112*^9}, {3.81761912964554*^9, 3.817619175572*^9}, + 3.8176192081695538`*^9, {3.817619251398644*^9, 3.8176192611467113`*^9}, { + 3.817619296755875*^9, 3.8176193494538918`*^9}, {3.817619385600893*^9, + 3.817619417396243*^9}, 3.817619473822008*^9, 3.817619517658676*^9, { + 3.817619647045698*^9, 3.817619702143152*^9}, {3.817619744218728*^9, + 3.81761983514673*^9}, {3.8176206689279957`*^9, 3.817620689262381*^9}, { + 3.817620739706464*^9, 3.817620790926754*^9}, 3.8176208714846783`*^9, + 3.817626520486795*^9, 3.817627350228532*^9, 3.8176277415834227`*^9, + 3.817628956472193*^9, 3.817629002825632*^9, 3.817629056020689*^9, + 3.818233161500917*^9, 3.8257607803594303`*^9, 3.825761120850746*^9, + 3.8257632795319233`*^9, 3.825764106769557*^9, {3.826007923264882*^9, + 3.826008038405919*^9}, {3.826008123160612*^9, 3.826008165509284*^9}, + 3.8260082910872498`*^9, 3.826008330378909*^9, 3.826008492624241*^9, + 3.826008594737713*^9, {3.82600870352409*^9, 3.826008812118639*^9}, { + 3.826009197443756*^9, 3.8260092453227787`*^9}, {3.826012743344294*^9, + 3.8260129762296553`*^9}, 3.826013052307476*^9}, + CellLabel-> + "Out[540]=",ExpressionUUID->"823a15e6-d4d4-45cf-b711-54e7c88841d0"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"GraphicsRow", "[", + RowBox[{"{", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{"h4", "[", "\[Theta]", "]"}], "/.", "sol4"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol4"}]}], "}"}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"F4", "[", "\[Theta]", "]"}], "/.", + RowBox[{"B", "\[Rule]", + RowBox[{"ruleB", "[", "h4", "]"}]}]}], "/.", "sol4"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol4"}]}], "}"}]}], "]"}]}], + "\[IndentingNewLine]", "}"}], "]"}]], "Input", + CellChangeTimes->{{3.8175672854849167`*^9, 3.8175673108365*^9}, { + 3.817567343605356*^9, 3.817567515945986*^9}, {3.817567689779602*^9, + 3.8175677001061993`*^9}, {3.817567852209393*^9, 3.8175678553653107`*^9}, { + 3.817569677608418*^9, 3.8175696880410147`*^9}, {3.817581502775428*^9, + 3.817581583359663*^9}, {3.817582250277421*^9, 3.817582268443882*^9}, { + 3.8176137509420633`*^9, 3.817613772032806*^9}, {3.817616947220008*^9, + 3.817616967115974*^9}, {3.8176195353257837`*^9, 3.817619546043696*^9}, { + 3.817627764775979*^9, 3.8176278238158283`*^9}, {3.818229824671139*^9, + 3.818229831606958*^9}, {3.818233166561644*^9, 3.81823316664911*^9}, + 3.8182444139503117`*^9, {3.826008373734087*^9, 3.826008396493952*^9}, { + 3.826008816966032*^9, 3.826008840830307*^9}}, + CellLabel-> + "In[534]:=",ExpressionUUID->"d90b515e-65bf-42c5-a9d8-7ebc27861a0a"], + +Cell[BoxData[ + GraphicsBox[{{}, {InsetBox[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwV13k4lO0XB3AhUaJkqURIlggRlfCN9GZLWUpUyFa21xJFslQkRRtFRNkK +85RsadGElCXJvs9G1pgZ0qa3/J7fX3N9rmvmee57zrnPObe8W4CtJy8PD4/b +Ih6e/3+e/3F+SlX1kFHo9V89EVA3asrI1l5qvxXi67KaoyeE8L52H5NmZ4qS ++fZFeyfWwLR7Q2W9nT3UnJYlq06ogo95LafKzgP7vq15JjmxA8Mepqsr7ULw +jzPj6X/j5rBTXm9XbhcLWR0Ji8fjjrh6OZFbapeC401DwRFj3rgWXlKcqJGP +98+7+lp/nkVEn8c9u7BiGNZ1WhO8sXike9xoe305BBbfcHV3vYI62frRMrzE +Fa58nFDWDWyVafN+4fQGW9KPDtQ1JmNKJkHsTlAtKhr8LL9opKJyh/j0Z5V3 ++NNlRu8/nQ4115nysJJ6NPGWvSTOZOKF5OTqt4FN2Mt+3Lxg+wDcnq0+tos+ +wqX6q6ZlXTYebPTZ/iP2E5omPgWdVMhFxfljNoXr23DMhVlfdy0PnG8akeGe +7TjFXh7+ty0fetoiP/Led2DGNonnjPQjvCh30zwi34WdKhzD+X8KcNPAlV7m +0Y3eWyG1R/4pxOlE34ETb3vwYAdvgqNRET4c09eNa+hBUuDlsy+NiyCnKXQ9 +52MPKjXa7q3ZU4SmtocmtJ4eZDQoB7VbFkFGaqjQdqoHLguOezUci1CXfTjM +UKIXEZYhMtdOFUGsco/EqhO9SPbLFp18WIRi1vr91KV9aG3L3sxdQoHipJKk ++Yo+DIafOy+5jIL02c20Dok+3HQovKQvQkEsn4HvhFwfxo/2Z0eIU3B44+F4 +8W19iPeoWzwkRwGP9403Pu59WHAL6DLaQYEtl0dLqqoPpxqgonOSgvqfS35k +1/ShbyJgo4gvBQaLRKnq9X24Nan9atSfAiUxGSuT9j6I3Hd7fOMUBb91dpz0 +H++DGVUwtT6KgrwzQQ/eivcj8BynszqFgm9/WSsC/fuxyP168QCVXN/gEC8r +uB8dFxp8jtZQIPZyeM4mrB85Ty687n9LgUboSK/OxX54BRUqtTZQ4PVl/MGP +tH74uEnMZbZT0N3D0Yqu6wedJ5deN0LBs6d/DlyTHoDMxW2SO5cSML3212RB +bgCveidP+AsTaPdd2BqoNIBggTn9TBECbKVFa2y3DCCgYb/bNzECSpn8LIm9 +AzjH0MyNlyaQmrAsKDN4AOKlLod01AmEua25STQOQPVIfmeOJYF1n+eEq1sG +4OJy5ZP7PgJvPFsvd3QMoEV3VaLCfgIC3vEx87QBRH+b3XvXlkBywLcAs9kB +1D9UrvJ1JPDkXJv157WDUGxhy+V5Efh8J0F4nd8gNo4+0HeJJnB5tedlzaBB +pHaFnOiJIaCWvot/9+lBCP05vmffBQLBmT9+e8cM4kFMrJh2HIGFXM8vlSmD +6PKgDzOuEFhbYtxk93oQvw3x9cNtAvs//Iq/KkLDiWRXu6FCAmKxy4OExWlo +ol6fVaEQ6DaQd0paQ4O3Q2GDH0HA+YmZ+nVFGsyfa0lNPSHgdzO19ZY+Db05 +FeqNZeT6HHTXpHvRYKs6UvZfFQGrFea80n40PEz7HC5JJSDaePRLRhANfVoW +/pvfELijH/s68xwNjzZ+7bOtIZAn03E8+xYNJv9Gv4x4R6BmOLCogEpDet8n +qT0fCcTei01WraOBqy8QsKWFgNnBtHNFjTQg8ezk2k8EWt+/sSY6adgnwrQc +aSVALxT5WjxJvj9KqNChk0COm8KgFpeGgPxUsc1dBDyl9d6VfKNBduhrxgLp +qcRjqWU8dHySGF12r4fAfACxs1KSjsb2Uzal/QSoKtWK29fRYXtYuyhwgMB5 +VsfyF/J0rNU9Kas+SEDQ7jfjpTodRlqSDuk0ApJ6FrFUEzr4k1Ln7ZgEdP4b +a373Lx1LKL4pO0cICDt2Y+IUHRtKNWZrSH+uqCsVDqfjUKT82z2j5P8TkJ1m +d5GOZ4vZVXvGyPUMOXmwUuk4mJHOrzxBoAPmPfyZdPQa2XDTSBP3tlmo5NAR +68+xFJwk43VIXCuAoKP2uqkNg3Rt48ff/1XTQcStSvh3ikCGUtW/cu/pGG59 +N/6BdMjFItbuD3SoZalXKE2T+W8YX3+li46rD2JvdZJeuBuq/6Sfjh1yj3OU +2QR6v7s/bmPQUVz5UyaMdMLTXcmrJ+mgXfK1X8kh4LZcU8CAQ4dzfbOIE2l9 +H5lwlzk6Xm95p/2A9NSGeeeHf+mI8fhaocgl8C5mvK2Rj4Efvz3F3Uln0bpN +pwUZGDsy0Z9F+kBq2aatqxjwmr6fJTJDQHUuO9NhNQPOVWIZJqR5bW6siJBh +QOu6xN9TpAceR13MUmBATMq8Pod0+VL/7zXKDNi7Wn9vIZ104oj3iDoDl9vf +X/lJ2qvOfFBQm4EBLfvY9bMEpKKUavcbkE7Qy/ckze0X1z1lzMC37tYPsaQb +tvEV3PmHgRsVSw9lk85OmVn70pKBoGfxu1+RPjvDSKIdYCCi/ktyO2k76xae +RYcYGNEZ+GeMtDql6pTiEQZi8uaP/CK9WJAyuteVgan1nHbBr2T+etx19PVk +YHqpM0WCdGVNfPM1Hwbuq0x/Xk/6huxplAYwUJFuEq1M2jvCo7QrhAEqi/+s +OmmTXtuNv8IZ8Kf1d2qQltY1TlsXzUBDs+/1/3vupuayXbEMRFm7FKqRbmbL +RLknMCB+/JiCEul8S+GZS9cY2O4uMi9DOqpg3r0omYHZVdJaq0gfWjzR/TGN +Ac4t9brFpDXdesxnMhmodp2q+EbuR/DNuyrxXAbWuvAvHibNki7X3F7AwMo2 +2ZKPpF+G5eQceUyu78joiwrSyV03JKJLGWjiF1ifQdpPO/pyTiUDC7qqzEjS +zh4nlIgqBl40NOc6kz5wZ39dRQ0DoQwZmgFpk4Ztbm/eM8Db//HqatI68+t5 +Gj8w8O7UteIZMr6K6oJZ7a3k896uNGsgLenM3TnYReab4dKD90jP11Sf4TAY +mDNX+mBAeuprgcSvzwyM33iqI0SavvFmGe8kA5O+kaIdZD7WJBznSMwxkLH3 +6XoX0nUq53Vk+ZnQ/WaWfpjM79fGoby5Aky4lpSlrCD9zMm7TVmIiWfOy3ne +k+elINEmYIsIE41vfFRUSSdy5Smmq5mYHGZXtpLnMU5I8mzjWiZW9nO2hJCO +Ulhqbi3DhDgrd60E6UD72VEHBSaoh0W27f9C5tfzWgVfdSZGXrql5JH1wKrt +2QxHg4lcl4BzOqRNJ4uqQ7Yw8cNvWdubcQJ665Kdo/SY2L9tjNpK1pe1Me7p +N3cx8Tn0V34HWY9W3XXwltzNBP9diy/7/l+vSi23Z+xholdVLuPdZwJ/h3W6 +8yyYUI512vF4mMDQXn6x5/ZMRL/R9D7GIs+f60+mgQMT3nrvfteS9a8zfKq4 +xpGJVpPp7xtJv6d07vvgzMSjN3xKn+kECkXzE+gnmbi7q97VmKyngT17Fi2O +ZMJ6ZFgiupvAr2Xdl6qjmbgcPX+wiKzXF3Z5CZ+7wMTxQMG4drK+pxRekvoa +z4T2xx9P1nQQeB5Rv5l1iwmnP7WbLpL9gUfO3Ol1ARPHzMYu19aT9cq+jxFG +YeJsxNm7Ve/J/pfg7bn1CRO7D/1NKSP7j+JsQiCljIkVM5OWaW/JflPXdOku +lYkllX9KDcj+deOkVVloJxOaf7R1ZyoIrMkc3L6lh4l2kb39L8rJftPmR53q +Y2Lel+YVTfbHcv2kRncGGe/GJt1FJWT9FG5h2Ewy0c3jks8g+61cyX5hDR4W +mtZr5S7JJlDyy9ZzVI2FmwOPf/ImkPGLadU8pcFC1IWtby/Gk78XsJ5f0GKh +jmrUs+gSuT9x8+tr9Fh49ztq4Bs5D1hr4IXVLhYuPN1i+/ocmc9uasvL7Fnw +OSY32hhA1vdmvoroSBYktw1p9dmR59H2fLRwDAsG4b5L+Mj5xLrvr/ndCywo +08M2bjpAIHT0F700ngXrId7tgVZkvvNwBUdvsmCmv/HZgCmB47qDR60esnDs +9rSYli6Be1nl/Gs+seCQILOvZRWB6l0tcYNtLKR+VDAIXkn2u6ExgQedLHz3 +3fRLTJScZ5SlhZT7ye97htAsyHntZfH55bojLMSoXD6QwkPut9pa0uY3C5RW +BidpigLx4XHlBOUhaHUxKtbVUrA9jrfQatMQMiMmE53eUHBUed2mFZuHcFFX +TPd2FQW5vvvVU7WHcO6szS+eSgq05yq08g2HUFI7frCUQsGBxRd31NgNQeDp +TOw5cj5NUpax/BU9hMA7/6x86k6BUXkZq/jCEHiHtNVSXSlg77II84obgs7i +th0RxyiwdjqT33FlCH6OUnr6DhSIJrUtPL49hKElBSXJFhTcnI0rd6MM4f7F +A+xyLQpuv2bLNHcP4eCiQ6dK54uQaVfNzdo8DNOkhEVEXBEOa5s2K2kN474S +V1jiAjn/r2x49ER7GDoLcnERUUW43PLJmbptGG+zbF7vOlOEEHNGM814GNd+ +bXAgThbBCn8L1h0axp60Q7GC5P1ifpPB8fSoYTyYdIzrWV4EB97nbbc/DWMq +6o/V+NVCSN1+5qgf/RlXLkp9unmgABeKhGS0Noxg/uMyLwW+R1jmnoovb0fg +IcZ3eyw9HxkLakL2waNgrw9/r/w1F12yEiIiEmPIeW2S93VfDiQUFr8MfTeG +fxneM08CHmDhkXm2hs84fLs5F0T3ZkKwrWGMWDYBHE/+dKziLqTo1l29LyeQ +Iumn4dF/G23+qn8POk/CSN5DpfvgLdxkLW2JEf0CrQeO5166JCHgp9KfwNdf +4Li8vsCp9BJ+3kw9UeoyBZ5JOd4MofNgB9A2BLtNoW1UMj1kNgaf921gbvGc +gqxVUpfTQAzahIoPl/hMIeA1jux7HIOi8+/Nn4ZOQe1RftYHmxgcDfqm9uTq +FFTit1d560ej+oAdt7ByCu5fbstyI84hXlQ0PFt0GjK5sl8Nbc/gMkzOaotN +Y9PcFLw3kw4IjXgrPo1HYnSTJ4JncOXTQOTImmlsFHHJjHtzGteuF1xQVZxG +brYir6/GadwRNUks2T6NM+yTdtIrQ5EnGnq/5vg01nfe0PCaDEY+Ch7Yekxj +YYv2R0ZDMB4GDGQPe03jv/Hz90MeBaPgk3HeYr9psLxnlnE9gkG5LlJofnoa +/wYN6GuyglAqWlDadmUaxb/zonvpgagWHXjHKpuGnuk9WWO6P6w3XR30fEau +r/FOyeFcfwyY7vw68XwaSXkHVjw66Y/v4Rlys6+nEfbMNXz8qx/UPh+J4G0g +n8czx14Q9sOd54NaGwanYXxU7dUNcx/4HadnePCzYUoX5ime8sJ8xLXScQE2 +nnScUa157oX4O0aNfkJsCErxaQrHeSHnQ9b3EBE2NswbC+2T9UKProtN3Go2 +Uo4EXY+w84TJUqbAQ3U2cgu+q6Y1uGN1GStozJ6NLV5FaWp0V+hNbEaOAxsf +C3zfFD52hd36s8LHnNgInKW99It0xbWrYo/aXdiwkPjjVSPjCn6P3YOvfdho +C7Zebf3WGVzx/H9SYtjgCVZ1o00dQf3pk9LGBBtNTEZKZMEhfCbKx38/YaOh +POw87fAh8A7zPHtWwsbxoMiORqFDMNh/94B6JbleP4WRvf4HUarcFCdVy8bT +8X0HB/TtkdWrxp3uYSPcTL3ah2uD0/qcunQ+DpSS/lowr1giq1alR0mAA3G2 +RZmSlCXeW7hNlApykBdvGO+eZwHJI13LPyznwJ7aElFdY47KiFeHfktx0HPF +rXyJoBl+VsWPH1HnwH9B5FtjrSnk9tTMj2lwMKupX3fa2RRmH+eFQ7ZwUKrl +07Hm926k0fy3JOpxMGSWnGSybTd2/LU7W7WLgyL+DHOZV8Y4CzlhmYMcaBi6 +O/eyDJFT7yhb6MDB6uMHPNjbDNG0P1lL14lD3hvq13CuG2Ctq8DBfS4cCPzI +nyjesxOvYqYyI705+CrxSn5Tw3b8V/Nckx7JgSDPprEOla1QtJg19onh4Fw/ +/5vITB1YtavZf7/AQejKljERcR3cG8oKE7nMQRlDeN2ogDYM+eJqjG5xIFnA +b+LKp4UoUxu7+w85eCG81jT6iQqWRl3deaaQg52jifGOr5Rxu/Ldhv0EB0Fu +HZUjzUogNunP/S3hwF2N8kL0ryL6V2y47fyag90CQ6KJafLwsjgWqVfNwYHw +EqKnSQ4zF1M9Rd5ykPuEz6V5kRwEfyzTozZw8EN93fHDv9dhG22uW6aTg+gH +j5fvcZJCraTmm2/dHNC97n1RFpKE9QHvRx/7yOefko01qxGH11vamUgGB/ul +G7u37RPD7H9SrgeHyPge9p3mkV+JSD1bs80jHLCaFtg/f4uS88z71bRJDkx3 +nDf++3AZ5IZ5FlVMc2Am3x3DkyYEyrqdE4lcDu6tZBbsz1hC3vOKXxh852D7 +OpWKV718sG6cyBb/xcHlE0zGBzFe9PEqXpn6zcEq4TUxoi48+KlvtbmFhwsL +SbWDm4/OG1EdvOX1ebkIOB9z7u7xH0axIZckHvJxwTJfX653dc5I9En1n0gB +LvbENPWk3WYbdTbRZiaWcLFFXWThQM2EUfrY/MhBIS76TVVSfm0dMVKS123Z +LMxFsI+Og9VYn9GUoW3t3eVctAXkpQ6eazcqdQp4tliUi8gP03ZVJvVGYWcS +i4JWcKGUEMm/z7bCyDClMIu2koux/8RdHgeepfKWvL9lvooLAY0XFoknnlEb +Pg5fqhDnYrzFfko6rI56bZInQl6SCwVp12uC2c1U+yWyAUlSXAwv0q2I72mj +rlXc6f5rNfm+h9efO7V1Upm7Djt4ruVip6VC8i6jHurDY6GWbdJcKMcJ2ETK +9lF9z96CoQwX+a3bGw8G91O1Uot1CmW52NFimiWqP0D9XtasLCHHRYTPjNFM +6AC1qnVC+rw8Fy2N06PGSgPUC9MCK6YVuCg1jbpvbtlPNVuqyO+oyIXwiOou +m5Feqoiy8c+6jVyYip4MyJnrpnbudp7SUuYiimKdGx/eSb3rGsG8p8IFX+Iu +BauQNqpzZFqn4CYyPl7bl4Q1faAqplc0hKhx8YjT5Wp29y118ll7FVOd3P+M +8Q1zSjn1aQfnqZUGF4MC/P7z6l2v/wedmxxS + "]]}, + Annotation[#, "Charting`Private`Tag$165503#1"]& ]}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{13.82142857142857, 0.37499999999994316`}, { + 4.07876143601186, 0.3750000000000284}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.0113036277779297`}, {-6.547144024338977*^-6, + 0.056542838557500065`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {141.92984575055743, -83.98424948095438}, + ImageScaled[{0.5, 0.5}], {265.8269867708156, 159.96999901134166}], + InsetBox[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwd13c81d8bAPAbkmhIgxSu0iAiCWUcyk5JZipuGUmUSmYkSRkpZWbdD5WM +JiFxHySrFCVF9rpmfFFU0u+5P/94vV/PGc95zudzPudKHj9z0JGLRqO9mkej +cf5fnr48Ii1tqUn7/1+Lem0ipchvrkQQx+kSRqzK8n2dbWY66ECtx+IurIwC +o4x8//3oUqb1cX+WTtP6giozczSj9rx4GCvvQJponvMhdGdG6Ylo1oa39ACm +vy26niZzPJn1Nu2Du17NMTQzd9e/dBZ3Z2RasZkDunCtqXgWS11sf6NiuxNa +a2zLtacsD5vFvJnOJzlx/YwTeaycuHcqEpOn0PeO3H1ayOptDD8Z43+aM98I +z/ES1pLQ+3Xzg93R7taTGmWsrE1X+7VqzqJvPZL495rV46AjUmDmgRbnlRGv +ZQVyS22biL+AdshZcLGOtTaN20iu3ROdNV/wWj3LvKPcL93ZB20tEHiikTXu +nxbd/sgXHfSgJ6CJFbE26NHqST/0j00OT7+yKg5pd9z0D0CHW7461sZizNBn +assvoTWKo7o6WAF7A/m4gwPRD9TLNbpYokN2kpo1lwktsFS2Y66HZbZJwizP +LBh9zx/EhlhpPyM7TH9y3FmwunKYNf5m7tRY/FXsH3/yst8oK8KhPVimPYTQ +Svc5FoeMsyqo5HymcyjGc9W5TkyxhM4u3qMpEIb9H7+wP/ODxdDy//DtEZp2 +zmtvwE/WbPuRgVWT4Rg/Hf3oyQxLae1a0Rv+kYSmdcG6iPGXFTQc/kCGfhPj +tzSNk+dY9UV/FKvL0VpJXfad/1j5OaP35wXfIrTOFD4hjXlwcG8dS70mCuPd +/0385Ybw6xHjz82iCY0hp751LT8od+uHfc1GM89U+tAEoFONW2qOOwb7DxYm +DAiA0piPlWEemqYXY1mxGNotTrA6VsQRmsJ36a5GQVBYvztiUVMCxm2kpFet +hJaLfzcobr1LaIJWy74/WAnBTYVgFYIOPMJM2rkKmkPlJ9OUEwmNbuCX7yAM +QeNrbXbGJWG9wma/NayGxpLpTU7WqTj/Mr/eBRIQIJxbFv4UrZDuqlkgAdGq +BY+seZg4Xsd9LSU6aN4+px9wBD3OqGcM0OGO7qBvzSIK+79lrjyyDtRzmrrs +3NIITWSP496zGyDS59mTiK33Ca3aNf3FQVlYou/wNtcK7f42a0GZLESuEGa3 +BKIH9gpsVZCDG08uikt/Qj91KZ4W3AoRffo33ng9ILSvBmIBrfIQatruMlea +QWh8LSYP67ZBsLTARnezLFzPxuUj33YAz3SJdtxFtKp9lBldGYIr3I+y7qML +r5dLOSrDFbum6EUz6F6mLM+4MgTFUNyZSdmEdkToYT6/KgTOU+3q6svB+hY7 +9ZvtAr9mhyQz7yeEVlw4d2AHgXKT/qU5TLQH8d57lQB/5YkrPDVod+s/WZ8J +GB/a8aJl0VNCK4q/+k5NC77pqiaFH0X7HnUU6dSCGXFNl9E5dLc32aC4GxQb +DHmfaT8nNFvd6HmzOmAZwa/VZoEuv37bSEYXfPTf+ix0Qb+79PqNtS6UlhiP +HruNjvd+fjBfF0yyTBqFetAML8/K83rgesUizSM4l9B23V+zfEYfMnYc01St +yiO0078Yshv3gnEdl5xoGzrC85is3V4Yd7i3ZnYCnfSX+0T8XlCNZs+A+AtC +yxKUiBAwhtoJt1x9T/T1bLWYKWP4/sR3s9WGfKzPs/OpDftBWSZayPNKAaEd +ahR6ddgUKsSr+nNJEaEpF5rHx1sAS+/TrIQ5+qHs9emXFlB4ukMowhmtX/Tm +zDcLyGZNazpEoQ83WWaLW8Jt281xK3rQ3tmx+x9YAiMlVP9CyCtCm5TJ21Nk +BbNixg+V64oJbcVbo+apQ6Ak1nDypQ0QWp5L/PY8WxgRCxWKPVtOAqUCKfuN +jlCwc8Vo7+Y3hHZcbSzp6SnYwvgvz/tZFdFSWV75bPdZeLlqSOS1ey3R2jg8 +nWV9Aca/KLkcnFdHSt1cdjMDfYC5wUV1OvgDCbwbMbKqyx9eXD5qminRQLSW +H6of9b4MYz+2+vs4fiSMgMv2i39dAWXFJdP3Kj8RxqUNvakNIfAy77j8YcnP +pFRNzIK7OBSi1BntuQ5NhF4b0CAQEQGeEae+nXj9hQSy3d7deHwTnnRJmLD4 +m8ktB4GiNIso+DHXJeju1kLcr6h05v+6Dd7HV0fl1Hwj7g1yR8bjo8Hk7a9r +4UvaiPtT4a72NbGwfZb97s3pdsJMN3DwfBUHroqXrqcVdBDBr8Pbj6omgPsX +3Xnz/TsJXXfMKD39Ljz7ddCxf0sXqY/daS4nngRJKXk8qz90EUaKofVt12S4 +sUls769L3YRRUpCsVZICyWal4ylyPaSz8su7RQOpYK2o826jQg+haXRqS42k +gtCy6ozHij3klq1T5s7xVLj+/oMtS6WHlMamG9nOpIKHYce7Nu0eopDpbK3P +wwRjMvdwrWUP2bx7/lndFUz4LaN+7G5AD/GWrio8v50JVlyFDTEfeohzk+j+ +c6eZkDb7xd78Yw8R1HCQP+rOhNGf0z+EPveQcf6ODL1zTLgyrCJ6q6WH8I2V +2qz0ZMKTxoLjYX09RPVf+GPKnwkLMgomA/70kPiVreRCBBMK9hasdN7USzZf +/xo8L5MJXHpfMjbK9BK+mYLAkiwm7NOa3tkn20sY2uwfXjlM6FFSsT2uiO1v +HDcYeMKEpeIFD45o9JLOsalz+flMODGer2Jq1kvivR/x8lUwQTgm/9CuS71E +RHeXlU8bE1y7XivUXu4lD9UELg+0M6FcrmGBTXAvGVDSULPsZMLpyuEXPqG9 +hO525ahcDxMqpulCL+/0ElXNit21A0w4ZxNeq/IQ2y8O+1oyyYR3Egy1HQ29 +xDqY7hTCR8E6VzehN596SWmQF3flQgq8C30HzZvQz6lVPAIUrDeNifP4huvh +EUj0W0yBb1DtZG5fLwnsZvBYC1GwqU8pR/E3zrc8PeHNGgqCshaKKazvI4yY +8NduchQ4dN1ZmLuhj8x435S5sJUCPRHxnzs295HqsS2zvvIU8IcoflCT6yPx +3M3fLm+j4M6xw5f1VfpIvXbyhYs7KLgn8qjPdi/Gh55aSmlQEGKi8rFrXx+e +b+lcQpoUOIeUsRwO9BHV4kKBObTs1Oc4F4s+IsLo2tagRcGLD3OGnnZ9pJDP +KN9eh4LKkAOPb5xHs906VPdS8LCk5a6gZx+xvlH3U8CYgrAph2t3vPvIw4pb +R9vQ+4/7MBL8+4igafVKv/0UfNFIE7p/Ded/EC+SZkrBwNSkZ3Eiznf0eXqy +FQW1WwLsSUofeco6Z2BhTUHOcb4D5cw+UtoRuVXgEAVn69dKV9/H+ujsf3XW +hoLf2brfPj3B8Xx5WNJHKRCwjyPDr/uIu6E8U+c4BQEvSrrvVWL9tMaWjaLH +F/Reta3pI+Pw2eGOPQWNOQrvGt7jet5dyGx2oCD5Z411YXMf2Wx+7YbxCQoE +Dcf/nG3F+iRxD/SggxJXpW7p6CMDlI2ojzMFTlr2fSm9mJ/U8LzkkxTIh82e +vTrWRzp9Wa9qT1GQ1rpuJZnoI9586nkHXClYIW9YODOF9aFt9WtEz3yKmTv1 +G/MXzTvz2Y2CMjH58IPz+0l8+/KPxWcoUHK32LqIr5/QE7nEtrlT8KDcr+EN +fz95+rhXNh0ddqJaeKdgPxE0L4oNPEuB2bNj9yTW9JNqI5Gz9PO4X9zX9ZvF ++slm+2XlQWhVy8dDt+n9pLDm2Ptu9No/vxV4N/YTrfOKK5I8KOjTiS4ZUegn +Bn+YipMXKLCOK2I82N5PZnQc1fd44v4MdnIzlPuJ9+Oa6Vvox5FyRp/U+kmg +/M2ADV4UeH2tbHqph+3FX2UqelMwJDPqc96wn9THbRN3Rx/xXy4mZ4zz51zY +lY3WWsewZ5r2k+u7LziK+lDw3COE18a8n3z9k392P1qqKidzuRWur/wjPRC9 +0PXXWMgRXJ8083gr+iJL4o6WXT9hRDVO8PpS8F1QT/n3MYxHDdDl0Qx71+Zc +B+zvmzRsjv744vZFtxNYT5mnpt5oHb6XEptc+gnf8h7TBHS+TUd5pyvmozI1 +VIDe/Gi+090zGN+StqYRnfhvy0Lzc1gfoezuUbTIPfJfuwe2n44t4/ajINrA +rPmkF+7fqcJgYfSyUaeyKR/0HN8WaXRklG/mpYv95OHI5VxVtIByZBT/JVyv +2FoxPfT1Fson5nI/ObCh3skUPf/Si2P04H6isDv2pg06aH2NYXZIP2HaOcUe +Q/+rat2mHNpPRJar+jqhL7qOry4Lx3qncO06if4lyMNlHNmP98fiRo49XwgP +Nd3C+VKOGjqjJw9t+XjsDu7XWEusA9p9TrNoJAbr81Gm2BY9mnYwzSse8+/c +XWiJdtF3CuNKxPoyRMKM0exhn3M3krH+OkwFLbTDrRs2IkyMb/qQtQ3dpUTt +Tk/DfA8mTNPRts15Mlvv4/oLJlYuQX/zrxZ6mYHz/XjP8wvrab2u9feeLLS5 +5OsudGPlWPf7HGxf3WpSjTY9xf320JN+ojoxmZmDfr9UOLf3Ge7vmkP1kWij +PJnEM3n95JbqXNlpzv7+NT119SXWw/8912Z0GeVoJliMzzv7m8k8tKaej1oi +C8erHrX/is+T6k2mwLPX2L+uo/US+sX2vEm1StzfsFRyAK34tepbZTU+7/+t +cxRHy0qOZbfW9ZMBXYWpXHyeM99wRZ+ox/j6uMN+6I0uqy5OfMTnPczvshZa +IlfDmO8rrkf2PE8Fvi9JVqZKd1pwfx4z7ILQIrMOa8Xb+sm4bqCHJlpIN2Jk +e3c/cU7mrXmC7xvvl5YIuxGMB03OeuL7ecXvu8fQd3wf76sIrEfT6FxHL/yH +7f/xvn2H7/NvZ2m58J+Yf+yozWr0999edfk0NvG2N0uOPUfBqdTwF9rcbMK4 +57paAT2wJzX53Xw2KZww16zC86Q7otKtm59Nxg9sDfiO581n8ZVLlqxkk85n +igV0PJ+62ytyPgizyVNahUDyaQrGUjz2RomyCVM8L2YVeqFE4/UVdDZxvsmv +Mw/PNw2JO9xrtrDJww3D3XkuuF8du9Na5XC8f/VFomir1AmtFAVsb1VS7I/n +6VmJgwGSymyyOWtKVQ3P2/sSy35t0maTr+Efh+444nnRURo3uAfn29Y71I3n +N6S6K2frYb5NIQvl0c0S9ee3GmN+8CqJhef/YvrN70pWbKIlfH6iyI6CC/TF +vdpuOL7KylWb8PsS1FkcxO2OcYvjpvr4/bnJdJV8c45NZjLm7jjg9ymT/s7W +wBvj1TrSsRYUtNHDm/dfYRNr8TqXz/g905Vc+OFwAs7fED5XbkjBwa5CN7Ek +Nok/l/z3uQEFdpTzoo4UXJ+f0UiqPgU+ktWGx+9he3/f2+66FDySvFbh/AQt +pvR1BL+/K9fNL7rwhk1ob3KnTVTweVNKS+arZuN9Mid9vTI+33rkcmItm9TH +Q+SUEgUeLj4GZR/YpHS9tlikIp53z0ebFrVgfUb7Z1LxPnFrT9Nk+nc2UdA+ +c0djPd4fHDPkPgoPkPHm9jCrRXif8dJZ5ig6QOjejEf1/BTsDO2aml6Lcfmi +fj283zg/WlMstm6ACFY0x8vwUlD146bRSdkBwsyaanr/jwnBId4naNoDhPad +PzF0ggn/MgyprS4DpDRKXxU+M+HePfu7ea7Y326BQfcnJhhQ/nd2ncH4prf2 +XB+ZcOvus6t6Hjjen9NFO98zgX5jtYttwACeL5FlwZVM2H1uUDHyNsY/50uG +4/0vWD20YrRogHQayngciGbC5p3pJedLsP3UvSSh23hf21GS/wtwPh2jzIab +TPz+/vdw/psBcuvFEhe9cCbclzx0Q+wDxrOMnfiDmFDJK225r2eAHFhzT/4P +3n/5GqrZOQKDROtBhIKXHhPUBwPiTi4ZJO4+lvx39zDBfd4O/Y3LBsmBDolF +L7WY0LyNepC6apDQNu+6PLyLCVm3fRxvSw6S+mMGPOvk8f5tLtPjpYLjnae4 +G1fher+Et++2HyTMBxbylytToWJMO/Kf4yDpzKlNrYVUmFkwo1HsPEgC04dm +BF6mwjFVh+QdpzH+2MTaMzsVFBPUj2z2QX95fXbwZio02ow2L745SBgJt7X1 +rFJBuH3/569Fg4SesIW3oiMFLA0mapxKcLzoPcPXv6ZA9PMY1hRgPuXZp/Qa +UkDoWmuG4Bvs37xbKbs8BZYouPgafMD+4zHJa+6nAG/QVYnCHpxvhVBSjHMK +TG0oPhm3aIiUyvN9bR1MhgY36TkL2yH8/SnJt+1zEjAnnTNFjw0RZuEqXt23 +SXDG56F5h/0QYUw2UyZlSbD46qZs55NDhJ7cmGHwKAkMkzZY+3kMES1NJlUT +nARltZLPmWE4vs+9GR7FJHi2SdRpOB/b5+xzMrmaCFFd/O8Dlw4TrdXW4XlL +7sKIaVWkqtAwKQ1JrIvlugsG5VdMxlcME+aZsYAzPxNgLm223k50mNBPZEjz +tCeAq8P3T5obMG4q5V+UkwAG7Ibm2V3DJDDRaYONQQLQRuP7vJ1wPOWCKDvv +eDgzs/Gve8kw6bzWYX3hVSzMRMWdeG43gr9nd6rIi9yBa0uX+lBLR4nW4zA+ +3j03oHTptzdduegbv2NbTIJhv0x4q2P+KCm98dfmjGwwfNNRmxwsHCW00RYr +3oXB8NMnkT5RMkoC5z+cVSu/Alt6D/txVaP3tojWKV2B2MJWhfWt2P5jjFi5 +aBC4HmtPdOD5TgKtr5h+/3IJfvtFPh/g/U5o7z21Cm9fgmuxmjWuCzH+WdIo +Yd8lSHub8tNjCcZ3Rtunvw6ALzvsTK+KYLwgenboqT/s5u/kfSCLXiOynn3L +D0Ryu86yzbH9gh8vW095gfKgHEmzwvgyx90XNniBmYTvoqM2GJf7Ma7b4QmR +4UIZH+0wnmiyMdrME3gc9rSWuGC8WluCm+Dv/RX39aIDMV46qC2z7jxUeTqv +0c7BuNs6z9I9p6E3J2/gz2O097U5rxo34Oqh5ec/Qy8TDx82cQN1k4QDsgXo +q/w3Be1c4fmm2qvC5eg+j51xIS6Q8nXL+OgX9INtRUWzTuC5a6ziLvcYoQ12 +C32LYUBK+eYvG3nR/OYzUxoMqDQ6PvicD9360LC3zg5WHf68+O1i9FDYC1Uv +Wyjwe2X5RxjdvWb5s47DMFN8beCwLLqeViPFbwV03bLf7K1oPT82t7clGNT9 +XuSxDd14pKqebQHxbW7bIpTRHk/tdtWZw845M99iLXSl+jePJwfBl9AXiVmg +e1N1q+7tg7SqQ+KZVmhBpwX7wRhqTe4o7LBBz8SfrmnbC6IMXot9duiHvC6J +G43gVeBIsv9JtM5N6VC2HvTybXy60BU9EiIcLakHi6LsymNOoyNyO0PsdOEI +9bH/0Xl0aYGRCHsPzJYVyrf7o2nmPdeltEHKaELbJRDNE7r0vL8WGH/cYv4z +CK2gv3BfHoGk7hTvJdfRdN+ZTA0N0OC+WqZ5G/2Vf8I5UxWcwlmfaqM5+V9T +T4lVgcjlM32WcZz+86r5wpWhff0p/jNJnPk6ufRDlSBAx9Qs9QF6s+PSL80K +wB8QruaViWYKtpm9k4eYgjfrTXLQ42mzVT/kIEdm19TcM7RWRPspXxlQdfBo +bcpDdxaN7v68GV4nP654XMBZX4WcitYmaBFcH2NbwrHtz9e6UuBkdNRfuZST +/9gPrs518N+VOMclrznOMMwJlQS+aQFlVjXH6hJrVopDtIKeeOxbzvjrOlrL +1wDdJZD39HvOeFE2wpGrQaVtqkmskbMeg5oMv5VQvkoefjRx8turZpO8HPYf +OJlR18yJu2VoflsGLaHpN++3ctYnm7dghyA4vW7z8u/4f/uRT+aLYWJWmGHR +zXHsPFVPfvBXPmgg18fp/6g3p24B8LlHKMwf4Pj1jwyb+RCdWSnSNsTJhypJ +W8sN9B7avBejHJ8cFF0+D7LXqg1GjKMD3/tJ+c2xlC0vNDhMcizOK6byh1V+ +88lL9Z8cH21QPDTD2l8zSK34xRnfsjaw8wermUsqbOQPJz4tLv1ukuWgbnuu +Yo5jgWHzNROsmV3Gcu9p4+iJju114yyW1UnJXVxoWven6bIxVrBHyMoH3Bzn +ZjZkf2cZRaUvFJrPcVWvl+V31tLHpX/9eTkWueZV+p3VWNv23+ACjqX2nRgY +Y91l/+6zWMjx9rDz/eMsBo9ISxk/xz8emChPsDZK7ngvt4jjOE16zyRrRONg +ecJijm8c0x75wXpucyZ//lJOfjpFQqYzLG+viKyzgpx4/NFpwT8sjejMlLZl +HP9Ltdgyx+J6VnnbcDlay8Hr7QcaVNf1hLxYwenv3HQnnwsih2h+kqs4Xhf6 +qoYHzBeIn7khzOl//tofvgUgKqVm/0sEXXpAeInHQujUsrZyFOX4NzzmXwSn +fG8TDTFOfz31qlZBUIh7sj1THM3kVrvvLAQ/c99tWklHd96Rrlq4AoJGeQVH +13Hyyc06FC4MBvxSPIek0AztgYhTq2HJJu2Zig2c9hH2oYw1kMDw60zazBk/ +Oc75ugTY+sc38slw8vvUdL2NDlJ3X1R7bEHXZ9vwzVsHQ/kfiztlOZ6Yurd1 +PTz9NPbUeCv6wO6fB5yk4H/n4t5Y + "]]}, + Annotation[#, "Charting`Private`Tag$165549#1"]& ]}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{23.14859693877551, 0.375}, {4.07876143601186, + 0.3750000000000284}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.0113036277779297`}, {-0.03414469453716151, + 1.4432899320127035`*^-15}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {430.4531214353458, -83.98424948095438}, + ImageScaled[{0.5, 0.5}], {275.1541551381626, 159.96999901134166}]}, {}}, + + ImageSize->{ + UpTo[540], + UpTo[167]}, + PlotRange->{{0, 577.0465513695767}, {-167.96849896190875`, 0}}, + PlotRangePadding->{6, 5}]], "Output", + CellChangeTimes->{3.826008397009801*^9, 3.826008507422884*^9, + 3.826008595888225*^9, 3.826008841294518*^9, 3.826009246800181*^9, + 3.826012958478899*^9}, + CellLabel-> + "Out[534]=",ExpressionUUID->"674ddf51-ef87-4ea3-981c-9bca8b07e0de"] }, Open ]], +Cell[BoxData[{ + RowBox[{ + RowBox[{"h5", "=", + RowBox[{"h", "[", "4", "]"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"F5", "=", + RowBox[{"RF", "[", "3", "]"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"eq5", "=", + RowBox[{ + RowBox[{"eq", "[", + RowBox[{"3", ",", "h5"}], "]"}], "[", "6", "]"}]}], ";"}]}], "Input", + CellChangeTimes->{ + 3.817563268660089*^9, {3.817563829122241*^9, 3.817563846550528*^9}, { + 3.817563950998456*^9, 3.817563956525237*^9}, {3.8175645239988813`*^9, + 3.817564534320574*^9}, {3.81756485534698*^9, 3.817564862343175*^9}, { + 3.817564919676697*^9, 3.8175649235785027`*^9}, {3.817565106996109*^9, + 3.8175651474217367`*^9}, {3.8175652415905113`*^9, 3.817565250029232*^9}, { + 3.8175657444559927`*^9, 3.8175657689660788`*^9}, 3.8175669120549498`*^9, { + 3.8175677716518087`*^9, 3.817567773706285*^9}, {3.817579700926876*^9, + 3.817579701354711*^9}, {3.8175810533593073`*^9, 3.817581114447541*^9}, { + 3.817581149854197*^9, 3.8175811499220247`*^9}, {3.817581265163169*^9, + 3.81758126542041*^9}, {3.81758144220247*^9, 3.8175814490334673`*^9}, { + 3.8175815152710047`*^9, 3.817581521148234*^9}, {3.817581635837187*^9, + 3.817581700879589*^9}, {3.817581767691791*^9, 3.817581768673394*^9}, { + 3.8175821842992363`*^9, 3.8175821844066353`*^9}, {3.817582286431714*^9, + 3.817582297101211*^9}, {3.817582488847374*^9, 3.817582488974349*^9}, { + 3.817582803954041*^9, 3.817582804222094*^9}, {3.817618756754203*^9, + 3.817618757439868*^9}, {3.81761900296082*^9, 3.817619003035212*^9}, { + 3.8176203963382673`*^9, 3.817620396528458*^9}, {3.817626242723531*^9, + 3.817626282042306*^9}, {3.817627870666265*^9, 3.817627904779098*^9}, { + 3.817629704809123*^9, 3.8176297360288*^9}, {3.818229759701996*^9, + 3.81822980267845*^9}, 3.825758726252138*^9, {3.826007884715208*^9, + 3.826007887211458*^9}, {3.826008571401293*^9, 3.826008579185329*^9}, { + 3.826008613577992*^9, 3.826008639890254*^9}, {3.826008725532415*^9, + 3.826008766732915*^9}, {3.826008867270997*^9, 3.826008886791129*^9}, { + 3.826008934528173*^9, 3.82600893500001*^9}}, + CellLabel-> + "In[273]:=",ExpressionUUID->"74c29eca-8a3c-482d-b962-b5a7bc6eeeb5"], + Cell[CellGroupData[{ Cell[BoxData[ - RowBox[{ - RowBox[{"ListPlot3D", "[", - RowBox[{"{", - RowBox[{",", - RowBox[{"PlotRange", "\[Rule]", "All"}]}]}]}], "]"}]], "Input", - CellChangeTimes->{{3.819021460212605*^9, 3.819021469579661*^9}, { - 3.819021588470067*^9, 3.819021590837883*^9}, {3.819021685295993*^9, - 3.819021713775837*^9}, {3.819021850562304*^9, - 3.819021858282761*^9}},ExpressionUUID->"ee6beea5-4d88-4650-837d-\ -58c8d3c6363b"], + RowBox[{"sol5", "=", + RowBox[{"FindRoot", "[", + RowBox[{"eq5", ",", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"\[Theta]c", ",", + RowBox[{"\[Theta]c", "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"A", ",", + RowBox[{"A", "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "0", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "0", "]"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"FC", "[", "0", "]"}], ",", + RowBox[{ + RowBox[{"FC", "[", "0", "]"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"FC", "[", "1", "]"}], ",", + RowBox[{ + RowBox[{"FC", "[", "1", "]"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"FC", "[", "2", "]"}], ",", + RowBox[{ + RowBox[{"FC", "[", "2", "]"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "1", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "1", "]"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "2", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "2", "]"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "3", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "3", "]"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "4", "]"}], ",", + RowBox[{"0.1", + RowBox[{"RandomReal", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"-", "1"}], ",", "1"}], "}"}], "]"}]}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"FC", "[", "3", "]"}], ",", + RowBox[{"0.1", + RowBox[{"RandomReal", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"-", "1"}], ",", "1"}], "}"}], "]"}]}]}], "}"}]}], "}"}], + ",", + RowBox[{"MaxIterations", "\[Rule]", "50000"}]}], "]"}]}]], "Input", + CellChangeTimes->{{3.8175612726329412`*^9, 3.81756128486736*^9}, { + 3.8175614038617268`*^9, 3.817561415404965*^9}, {3.817561511096093*^9, + 3.817561563944231*^9}, {3.81756250196518*^9, 3.817562507914916*^9}, { + 3.817562967760625*^9, 3.81756298304041*^9}, 3.817563161460335*^9, { + 3.817563206558021*^9, 3.81756320676147*^9}, {3.817563530710863*^9, + 3.817563550054001*^9}, {3.817563775700533*^9, 3.817563804069632*^9}, { + 3.817563971222761*^9, 3.817564086350409*^9}, {3.817564155680212*^9, + 3.8175641623358994`*^9}, {3.81756424029494*^9, 3.817564240399859*^9}, { + 3.8175645416987743`*^9, 3.817564542202907*^9}, {3.817564715061411*^9, + 3.817564723202471*^9}, {3.8175648450855713`*^9, 3.817564883921851*^9}, { + 3.8175650025642157`*^9, 3.817565074155829*^9}, {3.817565217921039*^9, + 3.817565230520749*^9}, {3.817565359356901*^9, 3.8175654247402163`*^9}, { + 3.817565602697175*^9, 3.817565635407323*^9}, {3.817566059389201*^9, + 3.817566077942937*^9}, {3.817566269837482*^9, 3.817566273547044*^9}, { + 3.8175663066250553`*^9, 3.817566306784181*^9}, {3.817566684914805*^9, + 3.81756668549652*^9}, {3.817566919102108*^9, 3.817566934549343*^9}, { + 3.8175696638331223`*^9, 3.817569664744486*^9}, {3.817579706169273*^9, + 3.8175797767735577`*^9}, {3.817581067506674*^9, 3.8175810689721537`*^9}, { + 3.817581121371869*^9, 3.817581169115347*^9}, {3.817581207766066*^9, + 3.817581270669099*^9}, 3.817581309702499*^9, {3.817581355857291*^9, + 3.817581356026667*^9}, {3.817581392130506*^9, 3.817581416424316*^9}, { + 3.817581457365512*^9, 3.8175814943565397`*^9}, {3.81758152586852*^9, + 3.817581526654297*^9}, {3.8175819155874557`*^9, 3.81758195123713*^9}, { + 3.8175820720836487`*^9, 3.817582073079625*^9}, {3.817582192281794*^9, + 3.8175821927535973`*^9}, {3.8175824979646*^9, 3.817582531058486*^9}, { + 3.817582601242318*^9, 3.817582616669943*^9}, {3.817582763042087*^9, + 3.817582823261053*^9}, {3.817582997786705*^9, 3.817583024595161*^9}, { + 3.817584829987904*^9, 3.817584859074748*^9}, {3.81758494165969*^9, + 3.81758496226119*^9}, {3.81758499940244*^9, 3.8175849995669928`*^9}, { + 3.817585077390765*^9, 3.817585077573927*^9}, {3.817585156651001*^9, + 3.817585156823139*^9}, {3.817585322721836*^9, 3.817585349348461*^9}, { + 3.817585456385895*^9, 3.817585457280986*^9}, {3.817585513558703*^9, + 3.8175855137401114`*^9}, {3.817613675501788*^9, 3.817613676578967*^9}, { + 3.8176168804169617`*^9, 3.81761688926372*^9}, {3.817618774003889*^9, + 3.817618793385603*^9}, {3.8176190151288853`*^9, 3.817619038205636*^9}, + 3.8176190698677187`*^9, {3.817619141079945*^9, 3.8176191871342373`*^9}, { + 3.817619234638775*^9, 3.817619240400311*^9}, {3.817619299848545*^9, + 3.817619332922262*^9}, {3.817619399549685*^9, 3.817619401809965*^9}, { + 3.8176196502657223`*^9, 3.817619664950913*^9}, {3.817619740359915*^9, + 3.8176197551387*^9}, {3.81761980328899*^9, 3.8176198034943733`*^9}, { + 3.817620410694891*^9, 3.817620463869529*^9}, {3.817620674916114*^9, + 3.817620678055534*^9}, {3.817620745057685*^9, 3.817620761178657*^9}, { + 3.817626286376536*^9, 3.8176263645243196`*^9}, {3.817627920512431*^9, + 3.817627961648692*^9}, {3.8176289379929667`*^9, 3.8176289382553997`*^9}, { + 3.817628977854362*^9, 3.817628981182324*^9}, 3.81762904026398*^9, { + 3.817629751676261*^9, 3.8176297825415983`*^9}, {3.818229743661914*^9, + 3.8182297488938627`*^9}, {3.8182298139507504`*^9, 3.818229816310824*^9}, + 3.818229853009067*^9, {3.826007900867858*^9, 3.8260079401484003`*^9}, { + 3.826008127440681*^9, 3.826008150233103*^9}, {3.8260082971323853`*^9, + 3.8260082972439747`*^9}, {3.826008404190578*^9, 3.826008404238015*^9}, { + 3.826008585010708*^9, 3.826008594433675*^9}, {3.826008644130653*^9, + 3.8260087820215483`*^9}, {3.826008892431964*^9, 3.826008975209036*^9}, { + 3.826009256518217*^9, 3.826009259453992*^9}}, + CellLabel-> + "In[290]:=",ExpressionUUID->"4f2555c0-0b0b-46e3-953c-b99c2d8ef953"], Cell[BoxData[ - GraphicsBox[{{}, - {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.004583333333333334], - AbsoluteThickness[1.6], PointBox[CompressedData[" -1:eJw923VYFF8fBXALxUbBwlbsxlb02Iod2KKInWAXiiIqYjeiIiggGEhs77I7 -AiJISHc3LLG7IIr403fB7339x2cfYHbmzr3nc3Znpr+l1epdzZo0aeLbokmT -hv/Zv8th4YfGbuPht7c6bpnlSiToHDSf8P/XFqg8sXzkLO3rXxf2y44/2Ivd -s3emrfn/z60xuanTHivt63MGPgtzzx5HoTwi/v7/f/807tek9JFrX58pHTxO -970N5t26u0j9/7+/iPwCycqRFjyYZK+49eSwHTzCuk22smDbs8fcU1vrxdrX -EtN2zUZcu4rpbjNetNvOtu+Aifs299qjfT2NF3ZS/tIR5jvXng7fzt7vJsKc -Od/xljyI+lxRrhLdRsW1YZ89LNn730W/ngb8vjt4eB7Sz/fo3nvQE9Xbuu1g -+3Mf2yavGTRiJw/pdY1viMHF9u6ynWz/HsLrhub32l089ByTadTy0iPUbvs+ -6scutr+Pcbtr1iTX3Txs2jm9YYswTqvpumoP238nuC4/E9V6Lw/OTxv/Yf29 -Vxu/7mXH44zD015K7u/jITX6x5p8j2ewN39UZbmfHd9zODm++jHtAA89Wqzr -MMr/Beqi02MND7LjdYGpYNn5Zod42DC1cYM4v+T3T/UhdvyuyOuRP7f0MA9L -J1+fbVHoiqmjv28psWLj4Yasbr3nVlnzUL6qYYtuSCo1+f7fETY+r9DRZPRR -g2M83DhYXO+tfoVXI4NExsfZeL3Gb4tPXzac4GHEta7aQ3iNGa3KX1w9ycbP -HXbJdVNlp3iIcJsvqP7PHfO7ODvXnWbj6YFPd4/JZ57l4YB2tLq38MQ2LyP3 -G+fY+Hpi5OK5i3NseGiT/Np6Rps3MP++5aPJBTbeb5AirY11teXhbcPh6nlB -MfeWb7tLbPy90CH8oelFOx4WN2yuqzfQ98yz+svsfHij2v+F+4UrPJQ1DHev -t/C+Yb6j9TV2ft7i4rK2Sc8ceGgYvZgB76Cepv410ZGdr3dwmbQqJvkGD8O2 -3An6PvQ9ZnzeaXbpFjt/77Gro/kV4zs8hGu3ZjjmA07nW25X3mXn8wNeCB8X -vbvPw757FTaY6APeOz394w/Z+fXB2hs5BXMf86DdOe0hf4TyW/tNPZ3Y+f4I -/qsn1r+e8mCmnTzaU4qirOODc5+x8++LBP2HZ7694MFdO3rJr33R81r6ns8v -2XzwRfKkYVVBbjzU/JdwunSwH/LSV7cPe83mhx96lw/iEjx4mNc4AfwgfL5H -p/QNmy9+uFqQkNbiLQ8PuzceEI5fGDBz6Hs2f/yRpvw9co0PD/92zx9VJ3U9 -rviy+eSP+RNzXyv8eRjf+C8Aa9v0HNKUz+ZXADTes0cuFvJwmfuqnUEBqHRO -8XUWs/kWAM+pm/01Uh7itWdfOybwlZiMXi1n84+HC6NK+os5HgY2bpCH9rac -45BgNh+188am3+4Xn3k4trfhBPDhnbTJzzCMzU8+ZgyU7Hv5lYfg70O1Z5iP -KbkXb46IYvNVgPqzpV0V33jQ/7eDmGs6uOWmODZ/BRj+ePv63wk8NO5dmACt -XANbeSaz+SyE9XMzg/VpPPi/qHoTukQISKec7ZjJ5rcQj4cdn/Qtm4dmjQcs -RK1B6wWP89h8F2G9j9pjZyEPq/9NGJiO6rdmWgmb/yL0jb+wuJuSh1cNh5sg -Qs/KKof6CrYexOBnLGtbrOJB07C5DWIE6x2ITq1m60OMjM6dv8XX8jCnYfqn -i/Hwik6bxDq2XiTIHdrEJvM3D/cbpu9WCfZn8vpX/GXrR4L6N9E/mjfnI/ds -wwmRoJan+tW/JZ/WkxQBmwVDFrbmY1zjBJei84CAs8fa8Wl9SfFTcVTl2ZGP -S4/maqeMFKkDzlzJ7cyn9SbD3CNzJg3sykfsgMYTjDsd5v490INP608Ga5fi -DGkvPvo3pH+FDI91H0V07sen9RiIYzZeX6wH8nGkYXlYByLj+KmoxMF8Wp/a -19IVqbOH8/Gp4exWB2Lv4VPFvFF8Wq9yGDcZVTN6HB+d/i1InMeb+o8T+LR+ -5ajd0OXX5Cl8NA5fnRyP012UodP5tJ4VuCbbEblFO+8ad89GgT6bbZzq5vBp -fSvA2dctebGAj3+acyg5XZC3cDGf1juHcRUzN9Yt48MrdIl2RXNY0an5O79V -fFr/HKY8GJhgvZaPldrV2Pkyh76vb8RM2sinPODg86PP8+bmfPxs0CeEQ884 -sXGyBZ/ygcOqZuPu+u3kw9WwYUF8wnjlKt/7e/mUF58QdDXv9tmDfCxqPMGf -sHO/25B91nzKj0+YEDH/5NbjfKjeNOzgJxjb2Z7cdJpPefIJUr0fA81t+HBq -2LuvnyBzX3Z290U+5Yv2/Xr3PnHSno9Z2sll2i4Ipzr87HjLgU95EwR+6L4F -b2/yUVLfcMBB2Ly6Vj/6Lp/yJwhOFw2P/3zIR8Ns0U4ZRBYvsRz2lE95FIQu -ZT9TLV7w0Xi4MUHIFDskubjxKZ+CsGXrZu3I8NG4uc7BmCoKXzL6LZ/yKhjD -rg6S2vrw0RhHa4Jxfp/4ebI/n/IrGAVlYcqJQj7+1Ydg6Njefe0s5VOeBWPK -jfkKHY6PxjhIDsas/V2nnQrhU74Fo8WR4R2rwviwbVjO3UOwvdpt6qEoPuVd -CLIWPeapY/kY0riAQnA3tsc5myQ+5V8Icn5Ndmifzse3xnoRAut535Pcs/mU -hyEom7fCck4BH6calkNmCJp8NBlUVMKnfAzBtHUfDO9W8NG3YTr3+Ywf4x1n -zNLwKS8/Y+tBvkNtLR9fGqafxWeYrWnzw7+eT/n5GReOmF8+0UQAq4bT6/YZ -S6/bDJ2pI6A8/QzVs9G57doI0K1xwX+GY+V4r9wOAsrXUPTsuOC0TF8ARcPu -GYVCkNpt6YvuAsrbUNw/v7aPfW8B9uxu+BeK4XbupdYDBJS/oTga+dprxxAB -GsqTNmHx87Vy7ZaRAsrjUHQRtS/fNE6AhnQ8XRqKwYMe7do2SUD5/AWhZ1oG -7psuwNbGDX6Briy7/MwsAeX1F4Qddqq6o839lo0B9QXZj90U7xYLKL+/4CK3 -a33UCgEazoaBzxdcbWHqV2MmoDz/All77y/9NwnQ2O6qvsCsT+ZDs20Cyvcw -GHWZpH9rpwB/GpbbuDAYHvtjErFPQHkfBneLs+06Wgng2TCdj4ahe0DxuQ3H -BZT/YRisOX/lzRkBlv87YEw2Pzzw9wUBeRCGdur8FevsBahtOB3fw9DrUHMd -wXUB+RCO9huVJj3vCODScLiTw7G+DU995aGAvAgHz9uqd+1TARY0DmA4vKcM -lxx4KSA/wmH0pPRTkbsAlY08hKPl9Q+j97wVkCfh4KRWv8o/CvC4Id7rw5EV -MbDvab6AfPkKyWLhY12pADMbT8hX6IV02uzCCcibr3gebLB7aqgARQ3xeuEr -ctKe+aVGCMifr/DztJlsGyvAv/j7ClXCVfWwZAF59BWLh9unpmYI0BgvzSKQ -dW1K6e08AfkUgf9U2w1NSwRoXL5zI1B5V7Rbt1JAXkXgGVf5JbJagMblcSUC -u9r5TX5cJyC/IlAx1fPjzr8C/Jt+EYhbZjVsio6QPIuA7b03LnpthUhsOL26 -kWj2tEC3Uk9IvkUiY5Fge0xXodaVhj2MREy65ythLyF5F4mgkmmfXw8QYlDj -BIyE81510MOhQvIvEh1kcx85jhYiKrLxH276eUy8MkFIHkZi3I0rL+ynCXHi -QUOgRuFai6WhDrOE5GMUnDZs8b63QIjejRM6CvyFBrNeLhWSl1Fw7B152W+1 -EJ8bP15FIVeQdChsg5D8jIL02qUf+VuFONQQp3FRMHEzMGyxS0ieRuGWMC56 -6AEhujQukGj8GVLXYfURIfkajYQ/injbU0IENsTBumhY/7exq/95IXkbjemu -Nd9KLguxq/HjVzQ8jER1Ax2F5G80Jt75cnPHXSHa/VtweOA3y+7NYyF5HA27 -sSbxVc+FaJwuht9Qcz3qtMlrIfn8Db16Nj94y1uIxtOx5RuODC7yyPsoJK+/ -ISz1bF8TgRD/Pp59g6UZF/tUJiS/v6HpB19+fZAQjZvL/obmP2eFbA8Xkucx -OLhse23ENyGt9xjof/s9b1qSkHyPwVufOq/3GUJa/zEoGj+158B8IXkfA+eg -Jw9flAopD2KQllPevpdKSP7HoP2MthddaoWUDzEYyOPyjf4TUh+Igf/6pHEf -m4soL2LQ4bjejhltRNQPYnDt8Wjrb9qe+S8/YnDxgXLVrm4i6gsxuHvzvyZ/ -e4soT2IQWtvl5HMjEfWHGEhdc71njBBRvsQgSqT7KG+ciPpELGbFjx57Y4qI -8iYWZ1WaY5Mhon4RC6PLVRuK54sof2Kx56Qk2XmpiPpGLNpOKCxZtUZEeRSL -T29/27fbJKL+EYspZtfdv1qIKJ+0fz+946ybe0TUR2Iha9Zh5arDIsqrWJiW -NYnqcUJE/SQWvxK3fiw8J6L8ikXMGucqnp2I+kosur/qf/XadRHlWSyc+FsP -mN8VUX/R/j6ETyY9EVG+xWIU/2ZzfRcR9Zk4zFpj8kbjLqK8i0P14L7nEt+J -qN/EIaaz4ympv4jyLw5DEqMeuotF1HfisKbD5Ii7nIjyMA4VCzroX/wiov4T -h5a1T3YejRahcbpfiMO+awaiPYki6kNx+LKd07HIEOHf1wdx+FseP39zvoj6 -URzmOl223lgmovyMw4Gcv+c3qUXUl+LQY92J3Vt/iihP41D3ut2AXX9F1J+0 -7/+ozOtwSzHlazx4hmOrz7YXU5+KR981v35eNxBT3sbj0B1L/2c9xdSv4pG8 -8UI33wFiyt94/Di3rd+XYWLqW/FoomPwOWesmPI4Hr9WeP73e7KY+lc8ilv3 -DuoJMeWz9ueTz7WZsUBMfSwe6hlctMUyMeV1PDoXFLe8ZiamfhaPG+Zlbz9u -FlN+x+PJcpl/mqWY+lo8vOKWd9XdL6Y8j8cHuztRk4+Iqb/FY/S5vTH7Tosp -3xPwyJLr6mIrpj6XgIVWZ50Sroop7xOQfejksva3xdTvErDjy91Rix6JKf8T -sOXaq7FXnoup7yWgn+Wl5SGvxeRBAjIlfy/ovBNT/0tAkXe5eJG/mHxIQEgz -gx+3xGLqgwmw3DRzdCInJi8SMKP9uPV9wsTUDxNweb7Pvn3fxORHAtD0hLkg -SUx9MQGnu88erpMlJk8SsG5uxJe1hWLqjwmY0i98lFe5mHxJxPepFWt+V4up -TyYiuH3xuNX1YvImEU867VB4N5NQv0xEJ0mbmmZtJORPItwv2n8x7yShvpmI -96XHxkm6S8ijRDxzPDOsez8J9c9E1HUc/+bUEAn5lIjjc6e/ShktoT6aCN3O -wztPnyQhrxLR/P7DSpcZEuqniTBs3X5Mi/kS8kv795oBEfuXSqivJoLfYock -bo2EPEtEtynra6ZvllB/TYJZ5FVrT0sJ+ZaEsOUnB3feL6E+m4TLrm/a2x6R -kHdJGPj7ae+K0xLqt0koqg9ftuWihPxLAvfS71HkNQn13SQsXRNWPuOOhDxM -gl+13WLfxxLqv0kISFzjOdBFgn9fTyZBEPH2xxMPCfXhJDwZ8X1i+w8S8lL7 -9wkvNlzmSagfJ+HLxPbrf0kl5GcS/q72Hno0WEJ9OQlBEYkhZV8l5GkSfHKq -B+yMk1B/TsbVM5bTslIl5GsyWo640GxjroT6dDLSTdyOJpRIyNtkHP440G6l -SkL9OhllszcPjfohIX+T8ePUsy2L/0qobyfjycuJXcNaSsnjZLRNPr10QQcp -9e9kyDv714Z0kZLPycgbMLLdvN5S6uPJOCoeYx9sJCWvk6Gyar5u7kgp9fNk -TIxSng4eLyW/kzFoyYiCudOl1NeT8XpLszshc6TkeQoGH/toPX+xlDxPwcsW -VhdDV0nJ8xT0vXeOv3CjlDxPQYBX+1bhFlLyPAW/VZsPLt4rJc9ToB7+LCPC -Skqep+DDlD/Ll52SkucpqBkgkERfkJLnKdDrq+m68qqUPE+B+cPsTbG3pOR5 -CpoOeHt+9SMpeZ6C2+7nTsY/l5Ln2u1PtzExc5eS5yngrYgLTXgnJc9TsObJ -q3ZrA6TkeQoG9tbTSZRIyfNUTJ1v8sYsSEqepyIpbkFZfLiUPE9FWsWyz6tj -peR5KvYPPTwmNkVKnqfivH1Q3xU5UvI8FSZndt6KLJaS56mI/HnAyrRKSp6n -4sWJKtnnWil5noo/xc0Pzf4jJc9T8TxedlKmIyPPU1GzdGTspPYy8jwVn/9Y -HvM1kJHn2u2NsTYb1ktGnqdi+JftB9wGysjzVIjWzPvYfYSMPE/F044Du90x -lpHnaXhU1Mq5xTQZeZ4G43P1o8/MlpHnaRg5UieqfJGMPE9DWo8RB7atlJHn -adg04miT2PUy8jwNvQyyLs/eJiPP0zBi45Fy390y+ryThrnrRo3re1iGu42e -p+Hq3M6mN0/I6PNPGpZO6zvip42MPE9D6rTV0Zb2MvI8DcvHeQ2LvCEjz9PQ -qb7XhAkPZOR5GqoOvCtwdpaR52nYu2aZcZNXMvI8HSWX6vV3esvI83R8jfpw -MdRXRp6nI7j7ZqshIhl5no48s7qkqwoZeZ6O0OvnfQpCZeR5OvxT08tnRcvI -83TIrra6/ixRRp6no+KH5kxNhow8T8cY+R3BkgIZeZ6Ot0+jJ7opZeR5Oo5e -eFlZo5GR5+lo5qxOXvBLRp5rt7c+oORx00DyPB36e+K6FeoGkufpuCifvmWc -XiB5ng7XV+nvz3ULJM8ztL6+aBLSJ5A8z8DgoIPL2wwOJM8zMGHi+FvLRwWS -5xmo+ZAWcHdCIHmeAYsZS8Ux0wPJ8wwYb7N+2GFuIHmeAd2/o00WLw4kzzPQ -+bzVm8urAslz7euA7lGSDYHkeQY61Om5V20LJM8zsHL4zIED9gSS59rff3tl -9urDgeR5Bg7ujfxueyKQPM/A76LaSe9sAsnzDEhmlNbHXw4kzzMQ0vfa9F+O -geR5JtrlBJT3vh9Inmtfn1zdEk8DyfNMPLebb2vuGkieZ+K4mdXyM28CyfNM -NKnw23/fJ5A8z0RLnaqvXvxA8jwTQzrp7pbJAsnzTIgWZBlHBQeS55mY4Lp6 -aPrXQPI8E5W582cUxQaS55l46OK0tzIlkDzPRNH0EW7V2YHkeSZ0f2Rmfi8K -JM8zsbj0bpfvFYHkeSYutjOCuiaQPM+CO06tKqsPJM+zYLJk/9ycZnLyPAtl -hRlt41vLyfMsRIp83IL05OR5Fup2KOp9usnJ8yz8sqvUc+ojJ8+z0MuvZ8r5 -QXLyPAsltwYvshgph7TR8yyc/lS5HuPl9Hk3C1VNzP4YTpOjY+OEzoJn50nG -1bPk5HkW/OKOl31ZKCfPs9Bysqr30+Vy8jwL39c4BO9eKyfPs7Daonfc2C1y -8jwLIvGdWT8s5eR5NgpLFDqSfXLyPBtFHre7n7GWk+fZWJeRYTXhlJw8z8bZ -jzealZ+Xk+fZcL1g8+WlvZw8z8bg0rv8FTfk5Hk2fOPeBtffk5Pn2Vix533J -ayc5eZ6Nx31P91z0Uk6eZyM0RLW6xENOnmcj7njdFfv3cvI8G86eJ971CpCT -59kQjzKV+Irl5Hk2UmZu8J7FycnzbJw7ds0qMlROnudgarS0uVmUnNZ7Dmzl -aVuS4+Xkew6+Gn09si5NTus/BxfWWU+NzZGT9zkQ9+e9XVgspzzIwd1YG5m4 -Qk7+5+DtOP9dQ2rklA852Hrf5MXdX3LqAzmwiWyx6XsTBeVFDgbOr7m/tpWC -+kEOROqamX7tFZQfOXDerDbTNVBQX8hBZ/eEiE2GCsqTHOg5ODp79VNQf8hB -+Y6/QvVgBeVLDkwm9+s5aZSC+kQObnilSU6MV1De5KBf6963facqqF9o939D -0o0iKCh/clC3qPZttwUK6hs58Jl9KG/uUgXlUQ4Kd4wcdmC1gvpHDipvDTp5 -a4OC8kk7nluXcG+3KqiP5KB26r0/QTsVlFfav1+sHJK0X0H9JAc8h+XjC6wV -lF85cBX7dqs4qaC+koNXJ3UjVTYKyrMctBuzbGGVnYL6Sw7KRpy6WOKgoHzL -wYsHtoczbiuoz+RiwyEL3YiHCsq7XDx2N5jPc1ZQv8nF7XZOPZ1cFZR/ufiw -o9jupKeC+k4uytY1ObrivYLyMBc7ruRmD/BXUP/JhcNlx2CVUEH5mAunrHp9 -caCC+lAu2vSbHHYuWEF5mYu4mJnJU8IV1I9y4WvTdYoqWkH5mQsPflCuW4KC -+lIuunYzjViWpqA8zUUPU19ldbaC+lMulM2bTHtYqKB8zUVl59kfRisV1Kdy -0WLDeZNglYLyNhdfohVZq2oV1K9yEXbH4EZavYLyNxfR++Y992nCUd/KhcG5 -LlUHm3OUx7nINrkydWhLjvpXLgx1ep3K0eUon7X7y1m+ftSWoz6Wi2p1nnhh -B47yOhdmosGCWj2O+lkuIiNED17pc5TfuTh+yWj5kq4c9bVcHI78nqPqzlGe -52IrxAsf9OSov+Xid/vf5437cJTvebjaYaltdD+O+lweFkknL9wzkKO8z0Or -Cctjfw/iqN/l4Qn69rgzlKP8z8PIZdMN+4zgqO/lofLE+BjvURx5kIcdF55O -Mh7LUf/LQ17y30VCY458yIPKra7Z1Ikc9cE8RL8ztBBO5siLPISf+LHZeBpH -/TAP74wHabxNOPIjD2PCp/bpA476Yh5WJEak357NoTH+T+ZB5H108O+5HH0f -lIfhq0Lrdi3g6PNiHmLvbFsVuYij74fy4F6QPHTMEo4+P+YhxDH83O1lHH1f -lIf4s9/ml63g6PNkHhYfvGI3ZzVHfTMPEUnXRj0x48ijPFyuPjanZB1H/TMP -++TFsokbOfIpD84/LjnZbuaoj+bhpVFezGdzjrzKg+ye13ZdC476aR6w5uSC -hZYc+aX9+YKKs3Y7Oeqredhm4PtLvJsjz/LQb6zlp4q9HPXXfHRNf/O19wGO -fMuHv9HgzosPcdRn81GptHtw1Ioj7/LhnrNz8ZMjHPXbfPjaHzMWHePIv3xM -GrV+YeIJjvpuPqKai+0rT3HkYT5CW80tan6Wo/6bj6UdXfd0seHIx3w4h51r -MfACR304H8OldqKRFznyMh9Viyxtje046sf5sPgYZjbBniM/8/FJd9cE46sc -9eV8zF1W3GOkA0ee5sPArEnTAY4c9ed8uCRsL9S/yZGv+XiyRx7U9DZHfTof -4xzCHyrvcORtPro9mrw+9h5H/TofkthAnYAHHPmrPf49nZ/ffcRR386H067y -LvufcORxPtJDmlvhKUf9Ox+1uzq91nvGkc/5aGfw7UPmc476eD42X/nh6OnC -kdf52LNlwaQDrhz183z8GHr63YhXHPmdj777FhcVv+aor+djk+O5vJceHHle -gFNlX5+tecOR5wVQpPxs39ybI88LkPs4dILPW448L0Dtxtq2a99z5HkBbi9Z -cufHB448L4CH43XJo48ceV4Az5Enr4/x48jzAqybmfwjxJ8jzwtQGnKs6Toe -R55rX8v1X+XxOfK8AH0GXUzcL+TI8wI8U9o9qRRx5HkB3jQrzj8k4cjzAviu -Py0okXLkeQGMkpq33RbIkecFuLF3fWaMnCPPC4C62cNmchx5XoATxx6UeX7i -yPMC9A3p1bttMEeeFyA+7aNsfwhHnhfg7du+nz9/5sjzAvQfMcu41xeOPC/A -nw1Ffw+FceR5AcZPLhkmDefI8wIIvvV63zyCI8+14zNhi93CSI48L4C/ra3X -1SiOPC9ARqKF4adojjwvwI5d6fG13zjyvADd9kbEDInlyPMCRA/s0N4sjiPP -C7BIecn+XDxHnheirk/L8S4JHHleiNBR5wxkiRx5XogWj4OMEpM48lz7+4Xy -baXJHHleiHzZmk8/UzjyvBBeEbvmN0/jyPNCPEhMK9ZN58jzQgzze+reOoMj -zwtRtsjxlE4mR54XovnzR1t+a1//87wQXRUeKyqzOPK8EC0zPZamZ3PkeSGc -J9utCM7hyPNCLB061MwzlyPPC1He7+o6+zyOPC/E+fc3Vpvnc+R5ISRWw+aN -K+DI80Johq0a0qSQI8+1x8P//iNc+/qf54WY2rqt/+0i5nkhBJOvrlpezDwv -xM4j5nG6JczzQhxv4TBWXsI8L0SQ+Z89h0uZ54U42lpyvEcZ87wQlwP4qxVl -zPNCPBpa8d82JfO8EGfWmR+tVzLPC1G6tMX7e+XM80K0nZnrOaCCeV6IwbY1 -W30qmOdFmH8dMRMqmedFkNeF1PIrmedFKL7vED2uinlehMcmd9Z4VTHPi/C1 -RfalHirmeRHm9bNde0XFPC9CF+Wpr0oV87wI40rjMpaqmedFqA91dvBSM8+L -8GdjevgfNfO8CBPd3J6v0DDPi5D+uf63s4Z5XoTUnnVFORrmeRHWDHi7rn81 -R58PizDJvt+iLdrX/74PKkJQdyvhvWrmeRFaFXi7fqpmnhfhRLeiv8pq5nkR -tneeFqtXwzwvwlnLQL2xNczzIqwMcZCY1jDPi1AyUPDVvIZ5XoROLyxmHKxh -nhdBx8a9w4ka5nkR4ma8nHa6hnlehMK7VoENP//neRH2r5344FAN87wIMS86 -ibbVMM+LYPpx8NClNczzIhg3c8o2rmGeF+HSHMc0/RrmeTHmrBzYpaqaeV6M -DrMcb4RUM8+LsXlz8dSH1czzYuj339lrazXzvBh580eMGVDNPC+GB2/v4Ybx -/+d5MQpvmyY5aZjnxRg36rflEg3zvBj2fX31fqqZ58X4OOpxuouaeV4M8foc -BdTM82IsTvokTlMxz4vRrqfVZysV87wYOrG9s/9UMc+LUZ3RorlDFfO8GHzz -LaPaVjHPi/Hqvfkmh0rmeTHSzOde/VvBPC/Gl1mmH6wrmOfFGG/xPiK9nHle -jPxm7zJnlTPPixH8zj77pZJ5Xox5hmejfpYxz7XHszjq9ZIy5nkx3E9+2upU -yjzXHk+XZ7+ySpjnxRCkvTzWt4R5XoxHkq6hG4uZ58X4Xbiw8lYR87wYraJs -SqSFzPNifO7TxC+/gHleAufw3vN0CpjnJbCuH+DSL595XoIBA7ZKJ+Yxz0vg -qezjNC+XeV6CFQsEY5flMM9LMHb7yUsrspnnJRj/3v/qkizmeQkcUxQmszOZ -5yWQpVS/HJvBPC9Bh1yP9z3Smecl4O0Zve13KvO8BH+NigNSUpjnJfDVH/HG -J5l5XoI+R9ZNvJDEPC+BTWDopoWJzPMStJWl6bdJYJ6XYNsxzZbQOOa59vhH -WRnbxDLPS9DqdMDdETHM8xL4GQ08nhDNPC/BINOBqSejmOcl2A9DWedI5nkJ -fnpY9fD6yjwvQc62mxWT/u95Cbo/Spug+MI8L8EL/8/KWaHM8xLc3y/pIAth -npfgNG+w89hg5nkJlkadcXT5xDwvgXiyUYYOxzwvgYnsyY3dcuZ5CVbuW/iI -kzHPS2H34M13fSnzvBSyxFHeFmLmeSkGdFr13lPIPC/F7UPX6wv5zPNSbNm4 -8kEfHvO8FNHX+1mv9Geel6Lq14nb53yZ59rXVVFlL32Y56VoU+15KfA987wU -YYkXVyS8ZZ6X4pdvxsoCL+Z5KSoLTOwqPJnnpTjZY1BOlTvzvBR6Mw33KF8x -z0tRfv2Vfo4r87wUnWzm50W5MM9LYZF+4xvvOfO8FO8Ff5MfOjPPS1G0c+TP -Q07M81K0veIyctZj5nkpFvzJP9L2IfO8FK2b3Az5do95XopmzYb0v3WHeV6K -GSEL7OfeYp6XYuKKC2UaR+Z5KUKqt6985sA8L8XyJdf8Ta4yz0vhN/lK++TL -zPNSWOVXm++/xDzXns9PB11rLzDPS/H8lmPsORvmeRk6Li2tqDvDPC/DZ9PB -GutTzPMybO2Vk5ZznHlehvGvBO6mR5nnZVjUbMnSd1bM8zKYvUe0ziHmeRmi -NkwZsnE/87wMobppazz2MM/LYNgyYmXZTuZ5GVbm+xsOtWSel8Hl3DSfrduY -52WI1bTVvb2FeV4GG36ckWAj87wMH09Pb5q8jnlehoHTap6q1jDPy9Bn1ntl -s1Ucff9bBqseBtXtl3N0vacMm19kvu+k/Xz+7/vgMrxRSrt00H5+/3f9R/v7 -B3cMbz6feV6GBTHXi1WzmedlKOtYZJo8k3lehrMHxy4XTGeel2Gm1QD1rSnM -8zI4lZ4cs3Ui87wMut9LdYYYM8/L0LZ6ypGS0czzMnS/NeDwqxHM8zLs4O2u -MxvKPC+DwavQjk0GMc/LUJTUwud1f+a5ErN7FsagD/NcCQPbkScSDJnnSog2 -uj3Z3o15roTKtO3EYn3muRIeE8cv3qXHPFfiP9P8+PR2zHMlRtQXRS9uzTxX -YlqLtlP8dZjnSgzb07td52bMcyX6p6bdSfitIM+VeLDwScyJ7wryXIlfIfoJ -rSoV5LkSPtdrHzgWKchzJRZtKmn9J0tBnishvPZwjGWygjxXgqv0+iP4piDP -lfjzI9H69xcFea7E/ifRtsacgjxXom7JokEbRQryXAmnvvWbrH0V5LkSLp5u -hqe9FOS5Eml/f5pbuyrIcyVC47k+G50U5LkSb8yk64zvKshz7XjP/PC3/pqC -PFfiZIK5vsBWQZ4rUVPw+IbFKQV5rkSnz0aW9YcV5LkSU1cn3b26W0GeK7FT -bdOp2VYFea7E99vlmYfWKsjzcvR0qa8KX6ogz8vxqPvl2V3nKcjzcsy5sDVy -9XQFeV6O4oQDjrbGCvK8HC5vbpx4PkxBnpfDpqXbNe9+CvK8HJuv3pN4dlOQ -5+XQnTVf92EHBXlejq0xnvuP6LDv28vhuP51+szfcvK8HDdPD1/7WyMnz8ux -aOPoWO9SOXlejr1ur00X5sjJ83I4nL0kSkiSk+fa37/zqdvqKDl5Xo55bS22 -K4Ll5Ln2/Z033+klkZPn5di4l/9sn6+cPC/Hzn5HLnp6ysnzctwofzg5/rmc -PC/H4xPDpFX35eR5OX7mTtX57SAnz8uRlhjf8ecFOXlejg1HWyXmH5eT5+Vo -vbZ4uWK/nDzXjucTh1OOFnLyvBxjvzUznb9OTp6XI6OtdWDVEjl5Xo5xKeXR -12fLyfNyeExxOqU/WU6el2P0uwd+N0fKyXPt/g5ufup7fzl5XoHyHu2DlnWT -k+cVaHMw7eajdnLyvAItzz2OjWwqJ88rcLOnlWN1bSB5XoHrTg/9Wpez648V -mOQ/dXbH3EDyvAK1Lx6Mb5HErkdWwEInza7kayB5XoEwnYXDZAp2fbICSWO6 -9bflBZLnFQi5en3nOG92vbICt22zK+JeBJLnFUhsYi7ccZ9dv6yAZPsiaf7V -QPK8Ai77yqpXn2PXMyuwb8XtzX5WgeR5BRSiS+V/drDrmxV4LjZwm74hkDyv -wNX4p8f2LGXXOyvwo2bXVrtZgeR5BZ6cjtl8cwK7/lmBIKPxu68MDSTPKxA5 -vOzUoV7semgF5g42uzFPL5A8r8CUXnHObVqw66MVyDn7xVXxg90PUYGt3Z2f -7FDKyPMKvDL2P1Obxe6PqMDSw2dnn46TkecVGJK0rbTkM7tfogKr0mIPLBLL -yPNKSFbMCX78nt0/UYkhVoPK4l/KyPNKfEpQp/29z+6nqIS+bb+7hldl5Hkl -dkePbGF0ht1fUYkR9g/H9TooI88rUfIpuXPzbex+i0rk6Z55lbJKRp5XInzK -f2nP57H7LyrhekcpWDFZRp5XYrFX1Fj1MHY/RiXmnB0z91IvGXleCacNL0v+ -dmD3Z1RisPpDz0NNZeR5JVKXVCaFVUvJ80p8Dv9uoF8kJc8rcdloS8ySFCl5 -XgnjQ9Lmx75KyfNKvGrr6+0gk5LnlfALTJHd9JHS9d5KrHmcNNnWVYqCRs8r -ce/30i4W96XkeSXavstdMcZeSp5XosrHJK/8hJQ8r0T2bt0vTnuk5Ln2eOzU -P403SsnzSjxq+uaodLGUPNeOt3HaaGMTKXleiQi/mUOfjJKS55Wo2Oe4sayP -lDzXvt/dE4Ej9KTkeRXSvSTLNzeVkudV0LvQVfeMRkKeV+HM4EUF9vnsfrEq -pDXplHUhQUKeV8E5YIJq92d2/1gVDEee6TJDICHPq2D+wnNR0zfsfrIqWNle -sw94IiHPq2B6uyR4jQO7v6wKOWFOTfNOS8jzKrSy3jdl6z52v1kVInRG7wjb -KCHPq1C/RGbTbzG7/6wKD+eW2+6eJiHPq3BxhNMe5+ES8rwKL22fj5YZSsjz -Koh+JH+LaCMhz7Wvr45YEP6L3Y+qHY+NZ2/yysTkeRV2Jni/uJXG7k+tQsYj -t+NmX8XkeRWuHFnSrrWE3a9ahUDrB9veeYvJ8ypkx+7ZN/0pu39VO74txUZi -BzF5XoU9/mduGp1m97NW4e9bl2fn94jJ8yo8+t5nWcg6dn9rFY6EVj/7OV9M -nlehwLb7ZcOJ7H7XKpT5Ov43zEhMnqvQ2mBxyyH6YlrvKsy4vcGpUzN2P6wK -oaMkPqUqdj+0CllDT8z7mC0i71XgMu6ZWUaLKA9UmBNpmNYsUET+q/DYpVfM -3Xfs/mkVFvTxHNfOWUR9QAXN5LC64w4iygsVwn4+GhhxUkT9QIW3t4zedtjF -7rdWwWb2DQesEVFfUMHSJl9sPltEeaLCz0+Lpu4bI6L+oMJO35Smlr3Z/dna -7f3x77CorYj6hAqic3WbetYJKW+0x9suJje9iD3PocLy91tcricIKX9UMNn7 -5YZRELufX4Wu26d5vP/Inn9QoU9YbmH/F0LqHypsyVIusncUUj5p31/jEB5/ -it3/rz1+C6Wl3i4hGuNqtwrz7i7Um7aaPT+i/Xt1fORKCNEYN4dV8P8v7IHZ -SPa8gApGE7dbzO8hpOuH2vHonTpqYEsh9RcV5LD6UaER0PVEFVoO3SnyyBZQ -n9Eev+WvA4sj2fNYKrifO9k+QySgfqPCpN99nDZ5COj7SRU67zdpFXqPPb+k -wuD5Pdb1uSCg7ytV2Nqy2cUd+wXUf7TH13v+xUfrBPT9pQqr1careXME1IdU -GJnWW60YzZ7/0m7faNMGkaGA+pEK09rOvPyipYA+D2nPp6T/ISsNn/qSCtam -2zqNzmLPc6pwVrr6QGo4e35OBZffG08e4fMpX7XnJzdhVK0re55Shf0DBt3a -c5NPeavdn60+dz6f4lO/UqFAP2ms3g72/KF2vF83P7hwOZ/6lnb7pq4mB6by -KY9VmNW/m8s5I/a8nnZ8+iTeON2RPV+rgnM706aWv9jz3dr1dDu/bnIhj/Ja -BV7Pbkd+feNRP9Nuv369pbeEPY+twq8FvcLnefCor6nwJz/dNfIOj/Jchb32 -eoWzzrLnp7Xz4fXEe247eZTvagy9HOZauZxHfU4N1fBFHYdOZc87q3F758SU -ZQN51O/UkIk7/9jWnkf5r4bL0Z17tv4IoL6nxrT7vkamuQHkgRp7Ey8M7xcR -QP1PDYHPhuP5vADyQY2t88P/u+8SQH1QjTZHzYNGOwSQF9rtyV4HCo4EUD9U -Q7J+pHL45gDyQ40mA64vuDEvgPqiGo9fLotIHhVAnqhR+7PDCb1uAdQf1Zj1 -cwcmNgkgX9Qo0ikctKDUn/qkGsMHjzSaG+dP3mj//nvCxJFSf+qXasS8sVnX -1N2f/FHDsGnQpaCb/tQ3teOxbn6A1Ql/8kiNkOteRbpb/al/qvGrxZ1utxf4 -k09qFIhezP472p/6qBo23c9ZbOnmT16psanrNyuPv37UT9Ww7zf3QFqxH/ml -hm9vu+X13/yor6rRed+ULroiP/JMjZ/R+tImrn7UX9VYdz14euE1P/JNjUnT -f97nW/lRn1UjqWKH7Mh6P/JOjRbtJAE94Ef9Vo2TWz8e/zDYj/xTw7LVr18j -O/hR31Xj7YVVc5y++5KHauy/dXhBVYYv9V81Lpq2bW4c4ks+at+/U/4xi3e+ -1IfVSLjq//DsfV/yUjs+NyZvv3jGl/qx9vdNxiUesfAlP9U4WLqtfPlCX+rL -aoR2ufKq22hf8lSN0VY7qiMMfKk/a8/fg/P85NqP5Kt2Pk8SeVUGf6Q+rcaE -0maijLsfyVs1yuuUaW7mH6lfa8czuXnrmcM/kr9qlLTKnOpX60N9Ww2uW7td -9UE+5LH2/NwfYtfrjg/1bzXuVn9xMNjsQz6rMc/5mnX+YB/q42roypqNu675 -QF5rt7c++ZOO/AP1c+3vD/Ew3Hj9A/mt/fm99uMvm32gvq6G3vOAZvZ9P5Dn -GoxNn35pc9l78lyDizuWerbmvyfPNVCJb+67bfuePNegXbBHUKnpe/JcgxYB -s717GrwnzzUQ1bftYpT1jjzXQNfE779mXu/Icw2WjszeJDryjjzXYOSteUbz -pr8jz7X7o39vlWeLd+S5Bs/XnEjLinpLnmtQ/vGVoOLxW/JcgwmzIjLjtr0l -zzXYK3dbeHvoW/JcA1+rVGVftTd5rsHKdoODrom9yXMNHLynB32+5E2ea7DI -NTo/1dSbPNdgy7EHfUI6eZPnGgTxZ+63T/UizzVwrrKXG7p5keca9LIz1L+2 -14s818DVMWBb+Bgv8lwD45Dmz3Nr35DnGszZL1d8C3xDnz80kHd5HPTA/g15 -rkGTlybPRy15Q59HNPD5aTnvRac35LkGoe3F/nnJnuS5BjbPK7L+e+FJnmtg -1sGHq9zhSZ5r0Ga15wr+ME/yXIMi34uXV1V5kOca7HQvXBPM8yDPtePrfU7U -5qwHea6Bl16x1xB4kOca9IsJ72XYwoM81+Dq8uC2eWHu5Ll2PMdaH7K95U6e -a5DQd/9UzSp38lyD+w8X7pnW1Z0810Dw5Fnl+rTX5Ll2f+y/hy52eU2ea1AZ -llPc2fI1ea5B2cuCRb6DXpPn2vMfcTl3QOkr8lx7/heaeO9//4o810Dv79Un -16xekefa83sy+fUZ41fkuQbTTj37POu7G3muQTRvWk2G0I081+7foa5Dlp91 -I8816Nzy+tqHJm7kuQYlLoUnP/5xJc810Pc8ZfeScyXPNciwsLPaaedKnmuw -2mrWxD9zXclzDeoW5X89qONKnmvAWQ5aYXHrJXmuwYKFKfZ3O74kzzVIOtRi -0P57LuS5BgeVwt4VnV3Icw2MtpRs6fHwBXleje67j8RUGrwgz6sxwEh/96FH -z8nzajQ5bd32UZfn5Hk16ia199n16Bl5Xg3raUunZxs8I8+rsXHhIdemD53J -82qkRjp+jezsTJ5Xg3fsieese0/J82rsPbe5v3nHp+R5NSozjgwZcMuJPNe+ -/7D5HnfaOJHn1Rjbr901j2tP8D+UPfCG - "]]}, {{}, {}}}, - AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], - Axes->{True, True}, - AxesLabel->{None, None}, - AxesOrigin->{0, 0}, - DisplayFunction->Identity, - Frame->{{False, False}, {False, False}}, - FrameLabel->{{None, None}, {None, None}}, - FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, - GridLines->{None, None}, - GridLinesStyle->Directive[ - GrayLevel[0.5, 0.4]], - Method->{ - "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, - "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ - Identity[ - Part[#, 1]], - Identity[ - Part[#, 2]]}& ), "CopiedValueFunction" -> ({ - Identity[ - Part[#, 1]], - Identity[ - Part[#, 2]]}& )}}, - PlotRange->{{0, 1.199}, {0, 0.13246062147525933`}}, - PlotRangeClipping->True, - PlotRangePadding->{{ - Scaled[0.02], - Scaled[0.02]}, { - Scaled[0.02], - Scaled[0.05]}}, - Ticks->{Automatic, Automatic}]], "Output", - CellChangeTimes->{{3.819021465308202*^9, 3.819021502573079*^9}, - 3.819021591030007*^9, {3.8190216893878736`*^9, 3.819021701664556*^9}}, - CellLabel->"Out[30]=",ExpressionUUID->"a27bcc82-f8f9-42d8-854c-a204a73d483f"] + RowBox[{"{", + RowBox[{ + RowBox[{"\[Theta]c", "\[Rule]", "1.2229810961177494`"}], ",", + RowBox[{"A", "\[Rule]", "0.000015879518811444152`"}], ",", + RowBox[{ + RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "0.34236129177925395`"}], ",", + RowBox[{ + RowBox[{"FC", "[", "0", "]"}], "\[Rule]", + RowBox[{"-", "0.05822620272246031`"}]}], ",", + RowBox[{ + RowBox[{"FC", "[", "1", "]"}], "\[Rule]", + RowBox[{"-", "0.08280049141366622`"}]}], ",", + RowBox[{ + RowBox[{"FC", "[", "2", "]"}], "\[Rule]", "0.044202689173834485`"}], ",", + + RowBox[{ + RowBox[{"gC", "[", "1", "]"}], "\[Rule]", + RowBox[{"-", "0.0526210680227346`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "2", "]"}], "\[Rule]", + RowBox[{"-", "0.0018603936339435373`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "3", "]"}], "\[Rule]", "0.00016487176704970582`"}], + ",", + RowBox[{ + RowBox[{"gC", "[", "4", "]"}], "\[Rule]", + RowBox[{"-", "6.671961975679041`*^-6"}]}], ",", + RowBox[{ + RowBox[{"FC", "[", "3", "]"}], "\[Rule]", + RowBox[{"-", "0.0008976607648896634`"}]}]}], "}"}]], "Output", + CellChangeTimes->{ + 3.817582243098262*^9, {3.817582385638481*^9, 3.817582397851478*^9}, { + 3.817582440404005*^9, 3.8175824479120073`*^9}, {3.8175825951659813`*^9, + 3.817582624284917*^9}, {3.817582771007656*^9, 3.817582790104224*^9}, { + 3.81758295912363*^9, 3.8175829694259653`*^9}, {3.817583027875955*^9, + 3.817583190779282*^9}, 3.817584063702273*^9, 3.817584867935519*^9, { + 3.8175849339417667`*^9, 3.817584980641724*^9}, 3.817585038615395*^9, + 3.817585139927609*^9, 3.8175851869224243`*^9, 3.817585430610086*^9, + 3.817585477765168*^9, 3.8175855203843403`*^9, 3.8175855792410593`*^9, + 3.817613703655264*^9, {3.817613820666153*^9, 3.817613850447565*^9}, + 3.817613970041641*^9, {3.817616894358282*^9, 3.817616938169628*^9}, + 3.817618971174425*^9, 3.8176190263238583`*^9, {3.817619068552326*^9, + 3.817619077160112*^9}, {3.81761912964554*^9, 3.817619175572*^9}, + 3.8176192081695538`*^9, {3.817619251398644*^9, 3.8176192611467113`*^9}, { + 3.817619296755875*^9, 3.8176193494538918`*^9}, {3.817619385600893*^9, + 3.817619417396243*^9}, 3.817619473822008*^9, 3.817619517658676*^9, { + 3.817619647045698*^9, 3.817619702143152*^9}, {3.817619744218728*^9, + 3.81761983514673*^9}, {3.8176206689279957`*^9, 3.817620689262381*^9}, { + 3.817620739706464*^9, 3.817620790926754*^9}, 3.8176208714846783`*^9, + 3.817626520486795*^9, 3.817627350228532*^9, 3.8176277415834227`*^9, + 3.817628956472193*^9, 3.817629002825632*^9, 3.817629056020689*^9, + 3.818233161500917*^9, 3.8257607803594303`*^9, 3.825761120850746*^9, + 3.8257632795319233`*^9, 3.825764106769557*^9, {3.826007923264882*^9, + 3.826008038405919*^9}, {3.826008123160612*^9, 3.826008165509284*^9}, + 3.8260082910872498`*^9, 3.826008330378909*^9, 3.826008492624241*^9, + 3.826008594737713*^9, {3.82600870352409*^9, 3.826008812118639*^9}, { + 3.826008936050972*^9, 3.8260090205065403`*^9}, {3.8260092507911787`*^9, + 3.826009292248102*^9}}, + CellLabel-> + "Out[290]=",ExpressionUUID->"7ba637ff-c37f-4ab3-8f3f-c3a013477573"] }, Open ]], +Cell[CellGroupData[{ + Cell[BoxData[ - RowBox[{ - RowBox[{"M\[Xi]2", "=", - RowBox[{"Table", "[", - RowBox[{ + RowBox[{"GraphicsRow", "[", + RowBox[{"{", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{"h5", "[", "\[Theta]", "]"}], "/.", "sol5"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol5"}]}], "}"}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"Plot", "[", RowBox[{ RowBox[{ RowBox[{ - RowBox[{ - RowBox[{"{", - RowBox[{ - RowBox[{ - RowBox[{"h2", "[", "\[Theta]", "]"}], - SuperscriptBox[ - RowBox[{"t", "[", "\[Theta]", "]"}], - RowBox[{"-", - RowBox[{"\[CapitalDelta]", "[", "2", "]"}]}]]}], ",", - RowBox[{ - RowBox[{"-", - RowBox[{ - RowBox[{"(", - RowBox[{ - RowBox[{"Transpose", "[", - RowBox[{"Inverse", "[", - RowBox[{ - RowBox[{"D", "[", - RowBox[{ - RowBox[{"{", - RowBox[{ - RowBox[{"R", " ", - RowBox[{"t", "[", "\[Theta]p", "]"}]}], ",", - RowBox[{ - SuperscriptBox["R", - RowBox[{"\[CapitalDelta]", "[", "2", "]"}]], - RowBox[{"h2", "[", "\[Theta]p", "]"}]}]}], "}"}], ",", - RowBox[{"{", - RowBox[{"{", - RowBox[{"R", ",", "\[Theta]p"}], "}"}], "}"}]}], "]"}], "/.", - RowBox[{"\[Theta]p", "\[Rule]", "\[Theta]"}]}], "]"}], - "]"}], ".", - RowBox[{"(", - RowBox[{ - RowBox[{"D", "[", - RowBox[{ - RowBox[{ - SuperscriptBox["R", "2"], - RowBox[{"(", - RowBox[{ - RowBox[{"F2", "[", "\[Theta]p", "]"}], "+", - RowBox[{ - SuperscriptBox[ - RowBox[{"t", "[", "\[Theta]p", "]"}], "2"], - RowBox[{ - RowBox[{"Log", "[", - SuperscriptBox["R", "2"], "]"}], "/", - RowBox[{"(", - RowBox[{"8", "\[Pi]"}], ")"}]}]}]}], ")"}]}], ",", - RowBox[{"{", - RowBox[{"{", - RowBox[{"R", ",", "\[Theta]p"}], "}"}], "}"}]}], "]"}], "/.", - RowBox[{"\[Theta]p", "\[Rule]", "\[Theta]"}]}], ")"}]}], - ")"}], "[", - RowBox[{"[", "2", "]"}], "]"}]}], "/", - SuperscriptBox[ - RowBox[{"(", - RowBox[{"R", " ", - RowBox[{"t", "[", "\[Theta]", "]"}]}], ")"}], - RowBox[{"1", "/", "8"}]]}]}], "}"}], "/.", - RowBox[{"B", "\[Rule]", - RowBox[{"ruleB", "[", "h2", "]"}]}]}], "/.", "sol2"}], "/.", - RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], "/.", - RowBox[{"R", "\[Rule]", "1"}]}], ",", - RowBox[{"{", - RowBox[{"\[Theta]", ",", - RowBox[{"1", "+", "0.001"}], ",", - RowBox[{"\[Theta]c1", "-", "0.001"}], ",", "0.001"}], "}"}]}], "]"}]}], - ";"}]], "Input", - CellChangeTimes->{{3.818229681077404*^9, 3.818229685396946*^9}}, + RowBox[{"F5", "[", "\[Theta]", "]"}], "/.", + RowBox[{"B", "\[Rule]", + RowBox[{"ruleB", "[", "h5", "]"}]}]}], "/.", "sol5"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol5"}]}], "}"}]}], "]"}]}], + "\[IndentingNewLine]", "}"}], "]"}]], "Input", + CellChangeTimes->{{3.8175672854849167`*^9, 3.8175673108365*^9}, { + 3.817567343605356*^9, 3.817567515945986*^9}, {3.817567689779602*^9, + 3.8175677001061993`*^9}, {3.817567852209393*^9, 3.8175678553653107`*^9}, { + 3.817569677608418*^9, 3.8175696880410147`*^9}, {3.817581502775428*^9, + 3.817581583359663*^9}, {3.817582250277421*^9, 3.817582268443882*^9}, { + 3.8176137509420633`*^9, 3.817613772032806*^9}, {3.817616947220008*^9, + 3.817616967115974*^9}, {3.8176195353257837`*^9, 3.817619546043696*^9}, { + 3.817627764775979*^9, 3.8176278238158283`*^9}, {3.818229824671139*^9, + 3.818229831606958*^9}, {3.818233166561644*^9, 3.81823316664911*^9}, + 3.8182444139503117`*^9, {3.826008373734087*^9, 3.826008396493952*^9}, { + 3.826008816966032*^9, 3.826008840830307*^9}, {3.826009299311204*^9, + 3.826009316127002*^9}}, CellLabel-> - "In[238]:=",ExpressionUUID->"5894652c-ea9c-458f-866d-b40d1a5efb75"], + "In[292]:=",ExpressionUUID->"11bfaed8-b616-4bdb-acee-d6f652a0a4e6"], + +Cell[BoxData[ + GraphicsBox[{{}, {InsetBox[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwV13k4FW8bB3BJtCiREC2Ikojil1bfCJEWSRIiIksSJSFJRRQie1K0UFEq +pLKbQyTZsifLOWfOoRBOilDv8/411+eamWvu+1nu5x45+9Omjvx8fHyCM/j4 +/n/dWXRwZ0qNpfbD9DveKUd0tbt3KazYF7cJ4qHBA8rNsthURgdLxRki0mdn +66xmdbAvGrybjrVAX3PS2EjTDmzp/GU6HOuM7IDnT5hNJnCcV5fSH+sDl9/M +WxVNxzApv9WAExsK/fdp+nZNHni/zvM2OzYRR6VD5NsaA+F3M1s14u5T8A8M +H/saeAtVH6K+7hXKQYjTUpPs4dtInRv2I0H2HaxE9h16KXoftj5teRuLSzAU +/zNn8lwaIjeqZziNUZBzW9bMDHgK+8q7B7v2vkeEhTGjseo5rN48s8+L/4Ar +Fhet34y+RNO3Nut5j2tg8/ekElWfjdLcrFc3JuqQMa9i0KoyF5K99T6M6w2Q +GGo+rxmeBzvJO8ajCz7jlJLgJTutt6Cl8o03vm7CwsM7NUNH30Gp0KlsE1qQ +uUyrMvBCAdKUXR1MvrWiRPjMh8vzi/DacHt+YkQ73gV1C1gFFCN4dkpwivgX +fO296TFWVILImEMBBYWdYG5wnDAMKMWR0qSBOMMuvF22R1xtVhmOvtUMDR7r +RnCC4diDkDL8ebH/u+mnHhi9/Bqr8LsMEQ9anzjU9yC38FbFo/EyyMbZnvD+ +3APz+PDZCn/KoO93uvd2ew9c8prLV0yXIUovsrWH7kGqqvoi4ZkUFNtrGe5/ +ezCeP/TtzQIKJvz7km+o9ULUVOGxlSKFNLM9e6lbvTjG/nmyZj+F2uF1/0nE +9SK0VuTU2gMUxsNFl7km9qLU3HvvdVMKuytaBkRTeqEhcSNT5xCFof/swu2e +9SJM7nrbI0sKWpLeH/kqe6E03P9Z05HCh/YUI0z1YkRvu66fL4XRc1fWx/zr +RZZuU2+uH4WlYo5LuPxMnJnLtRq6QMF9t3L/zTlMcFz7uo4GUBAryA3tkmCi +MUVrqdpVClbJHyovrmeiQnXhwaRwCoM2PP3CE0x4i3ZmRt+jYClVltHqwsTn +w8eH41IovG+4KcJzY8Ls2bR6YiqFVD3l9jVnmaj5y0u7/YCCqbKdW8IlJvis +H1lFpVN4M1YbfSaRiS3R4p17sihcDs/oVqpmQnxWvv2MIpKvvo+e3icm5A2M +h1nElv/0n9rWM+EUo+NdUUxB80zvmfgWJpSu9rsGl1LgHJYSFGAxcT5rmjfO +oGC88ppK9yQTUyFCblnVFBbn2/nGqbLw8dyLtaatFHrE43BfnYWozfnlIm0U +np2umvVcg4UZRn+ta4j1FNWiyzezoFdQdUO3g4JX1FQGT5+FmPDgNvmvFBpP +JHQesGHBQi5TMYdJ4eaiT1gQyYLD3IB60UESrzufoHQ0C9V8kstfEK/6oFGj +GMfC5JEMJ+MhCkUBSRbb77BwZZPlUOAPCgP9Tp5uj1mIPyRR2T1C5r+U/2F1 +CQvlR5oj3X5REDy1STBkmIUmh4Tasr8UnD3f/2risZCwdM+I4T8K1efMuPK/ +WdBUNuqqJY4M8KgqnmbhRdk9iVY+BqSintz4NZeNf37G0238DCjnSImcUGRD +Idkl5IEgA+Fv0v/lKLHx9/DMHRJCDAwVaA7PUGEjbJpXGkqcU27ScHcDGwvF +bWVcZzOwrSU0phlseErxqy2fy8DeiXFJfUs2hgar84znM/By+trsmKNsFPsG +cjKJxfgXT/QcY2OkO61z7gIGWuau7/B3YsOVrpSpILZZ6pKc60Xiq5BlKi9k +oFT2dzi/Dxs/a4R1LxPLKwZfNLnAhv0iX6cWYq7qfZuBy2zsPmLFf1GUAQ+0 +yypEsuHMEzpXIMZA404n0TPRJL6WvGmhRQxoGo7NKI1jY+WMid0HiSdMRFlW +yWxw/co2cIiv2BulxTxlo9RDVXNanIHY4HdrZpazYdLNZf+QYGDL4w0JUpVs +lG1d26cgyUBPVabAumo2Rucrt1oQrxW+121RT/KJnTpfRExFX4nL6mRDx8eZ +8pViwDl3kr+8m43tiX9k04kXtHh5tDPZqJt507WB+MgSJ2OBfjI+O62LFZYw +MJxiPMNyjA2qa+GJYuL4snL30+NsVCaulmYSb2Nt7wyaZGNFYMhbAWkGQlap +v3kxg0bV8cocA2IVw6cKFQI0NhT4LjxB3OgiH90hRGPVryWHg4iXPxc/NWsB +jYTVH+4XEZfXRnRIi9JYX5CR1kbsMixoqC5O7rutiBklztWYkLeSpjFa5KS8 +UoYBy0NnojyW0diyfUHTZmK+89+ng2VpDCUOnthPbJz/te3lKhoX/k3tOk88 +/MXc4P0aGgIqfPHXieOn63K+qNDkHGLWJBFvW2EkN6JGQ+VGxEAGMXMHdVNQ +g8Zxke8/3xGH2m+dktlIY3cxm6wYBlSDcl3Wb6Zx9ZBDSRNxY5pqq8E2GvzJ +By/3EPtUputZg4a0XfLa78TL+1dke+rSOOuvVPyTuHzu7RUh+jQW1fZumiZ2 +VRGLSDakYaWdfUdgKQMi+8L+vDKmMa/4Kmcuce5pAefKfTSMDHYsWUhseeti +c+cBGrFtDRrixHw5v3RHzWg0BMhvlCRObzr9UsiCxGu8VHYJ8Z5ffcuWWdF4 +YfF05P8elbQP22BDQ6I6J+P/Ttz8ZXyXHY3JakVjKeLtVmYnjjqQ9yP7GxcT +M/0/fT7jRMP8YL+OGHHoPQOdUFcaXVYiifOJ15WWZN09RWPxL/1mIeKm3k1L +czzI/J0/P8FH7Dcz+3rVWRpe2jcFJki+soprf3/1pqH+yuvXD+L3Bo8ceL40 +SrQX19HEJ52XNc6+SOOmjeXNDuKFN+KxPJBGYNQ6zVrivEyR5xpXafyw9i8t +Jeb/MSPU5jrJR1Qt/AGxdn7zirxwGkUKqw5HEfsFP30zP4rG/V6BVn9inswB +bmE8jU1DwmMHiNW5CpfEk2h8WsUXs4XYLXtcwu0uDbcOd1qOmG2YaiDziEbn +rIOPB8h6lBX36jrzmMaD8miJemLr7l3e1Rk0nMKZm7OJm879SPN9ReOKwa7k +M8QVD7RntRXTiHPa+olF9g+/u9hdNYqG5XLRjkJi7c0czZAKGqnq8kmxxHl1 +EQ4ba2gMj4Rr7CBOn+pkxLbTiDJMqwoh+5VZ+dJqoJOGaf85N3Pi5TFBvJ09 +NJTUXlIriRPWqKzkcWjIvZoIzif1INT8wpUDP2mkW89zbCP1pFxuv/TT3zR+ +px68nUzMNyifzTdJY3/dxku2xD5Xq3tfzOBAysPJtncx2Y8vl+gsEOFAYP5j +92ZSn9IvDLY5inEQmjipEknMNCjzKFrMwWvTFcm7iC2/Oqe6LeVAw/J0eC6p +b7vnvv1XvYYDs3DP7ABSH681hyXIqxKLXPqpSkyl2qr5qXPwYE4M5wupp1u1 +hGzXaHFwb8i1Q4NYxcG8OESPA//vCn8/izAwv/inv54tBxXrtss2CzPwRHmd +d7g9B967vvznSayX4HS6yZED/s+qgsLEfh4ddg5uHHQKxbVsn8dAn3ypQZAv +ya/mh0b0HPL9kLCF5TEc9NjKfJqeRc6Dn+VzhBM4mOHmdDWYeOLYX36zJA46 +1vHx5hGrb/EcY6VycO1CybS4AAN3B8w7ZmZx4Ko8v0SSnG8+B+Qf7azi4H5i +9dfuaQqLiq3uhn3koEEkZflB4izluPjPtRw4CzpIVkxRoGfOvn68mcTzx0U9 +bZL0K3mDp64yOZi1U+zvoQkKqjLvtBhTHEwNWI/5/qTAZO//qLuei5krQ6jq +fgpl7l46pppcGBw9LitHnDqe+MZOi4uCXUk23n0UjgozHwZu5yI6rvXCMi6F +Ng0v/2IjLvb1fdKyYVOou5KousWei9i014+fdlEolO2NXB/Dxe4dLyacGinc +yZglqBPPxf5JXb2kBgp+msr+Jre5sB7efupjPYVNhmedT6dwIXhR1VK5jkLO +6Vk6zzO5cG40udfxkUJG8ZpRpXIucjbkUgIVFBKsz5jJjnGxTnO9xKU8CsJR +Iz89x8n36YAYn9cUrjA84hiTXNjaSOZ75FJwUz7dcoK/Dzn8TP6j2RR0x09a +PBfpg67XaKAi6d8GYhyttyj34UPIpxXeaRR2fLRwMLPtwxu3YM/FMRT6N8Mr +9EMf/F3oNkNXCg9uPL11v6YPOonG9jNdSL/0ZdGL/Lo+CL+LKip0olDj39c/ +0NyH7xLX+9eS/vZlyS3bA8w+7D81uHjKloK3Pnu39GQfjgddyjtO+mP+A9fl +nqn0YzisuGo/KMg4f66ti+zHsw/HWYkiFDZYPtzbHt2PLBszXxHSn+/ec7aG +GdePV8MnvwUJk/FUX1Q9dqcfzR2DR93mUOgYN62QedKPCwn7r6uS/j7pemOB +Uyl5PkDnm8+vMkhlNjz5N9yPTYLJyRqdZeQ/p+6Kmuk3dL58I6f1qAxZ7d6f +lih+x7WezqZO6TKskqBNWf3f8W2lStaikFJsfTvtrlUygKm0P/WtD0qgnvm1 +wvXaILKkX1ibry7G0Jiid57RENacULz0JKIQRulSReHLfsBHtzvZ/XE+gh43 +auuyfiD9+1zF7Py3UAu5s7bMehim/xLn1PvlIZBz2WGwYhjJOzbMzpTJhc7Q +xy1zlEZQMtYy+qb0FRqUTlq7Ro/gVfvqQa5kFhrmucsUjI0g6FDuAhnGE+RJ +KwpJHR4lfbQ3w9HwIVys12vnl47Ce9kad0O5JIQb3Bfbs5IHDI6aF4iGo7Sh +UFNAkYeV5+LaUx+GgWfdZl64ikf2W72l139hsDwrckdFmYdCjwQX2uIGlFIv +rpy/nod6p1sqw/dCUTFxRLNWm4f5h98NZa4Oxt9nYuYmljxkfJroyjnsjw2b +1vnMtubB36egdsH5C3BkGCWVHuXhmntatUG8H2raA7vU7XjgWryas6/JB0mC +P06IOvOQeSglMX/fOWgd+3i+8RwPsp7yRqv93OD6nXP7xnke5ii79lzLdcU9 +b/5CXV8eaotnP70/5AzBiM18Of48BJn5LJ5j74imd49DY67y0LMh/65umDVm +6zMyjIN5cL1bX/V20gJb67tqZobwIGbwzCv95CE84CwW9brBg9Opy0UNMXvQ +4rleQyWcB5l9etUXPPQxZ3rPIXYEDzufOY+uTdyGbaHO55MjeXh2dXz3lSQV +eCwKum12i4cSZouPS7ex9v8Af0co1A== + "]]}, + Annotation[#, "Charting`Private`Tag$26017#1"]& ]}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{13.821428571428571`, 0.37500000000005684`}, { + 4.095234920676603, 0.3750000000000284}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.2229810961177494`}, {0., 0.14929508495214835`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {143.04997677474412, -84.72370844417306}, + ImageScaled[{0.5, 0.5}], {268.07932208561715, 161.37849227461535}], + InsetBox[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwV1nk4lF8bB3CVhEoka8lelIQkS9yiQlmyZcmWbGlRsqV+JYXIyJqQXRIV +2Wce5qiQ7EtZCyGZeWZsQ0nhfd75Z67P9cycuc459/29R9LVx8J9PRsbm906 +Nrb/v+vXWupnttrrsP3/1f+yZsRARtw0SR3YRk0UHtp5UNXf/QgTTjIENt7k +k3vswqm6xbtW630sgM1FukRWJoU68d9J8kqiLbDNM5tYtvnUh8bX/NQoTsDG +YdPh7/+W+mRrW3KVjyuwxRe8/idNpk4tnF+0DHUHto2i8xy73lE1v/6ymE30 +AraMBsfPto3U6A+PSqJfXAI2znVKHoat1OFCCR55ylVgE7i65OjfRRX+NFjh +OnkNQtplSHTxL9R3R59PlPj4QgiZN7pfeoDqXeLDv7Z0A9g0efL23vtG5ZfR +1DMJ9QcJlwAqvvM71X1zRyYtMQgk7mf/KrKdpPLcTWk/sjsY2LQj+/k1adTq ++QsrYS9uQR2vhsF+QwaVe3DJXopyB2Y/aE8d8p+jDuZ/P14tGQK64yEqJ4FF +fTN60sF5MgSyYnfWFosvUm2s+B699gkFtoSJPxHSf6gKMQE5Vqr3ITZ61v7X +yb9UtqYh8t+l+zDqtM0eC1mhvtTKnzIKDQMX6ys6eTvXob9SWicnEx/CU13R +FVVbDtTpkOVIsosE3qnhVf0Pm1Dek43+qrujwMtsx/3/NLiQKXdnbuiLR9B0 +rD7Nx2ALyppzWydOiYGsshqTfD8+5Le/WbjxzmMQnhKW6j27HeWVCj2tlIyF +2Bz5ilQdfnSTcbvYcTIWbNUb277vFkBSLgbDRT7x8K+45ZW7lAjasvLn4lpX +PKhHvHPUUBZFv1JeLVqoJoDXQoli9omdqKWHb+vyUgLU9FD7Fe6KIT+Dr1qG +oUng8fncz6eikqhR8XrKROJTuCxy/fLVs3vQ3dWga/+tPQVXnqKcapG9SL09 +xEDQOwU4h7rkjEb3opdXYhcNIBWecn8bPBooj6JfFZsX0dJAqTOTerlVAZnv +m+by1cmEwsWr7tNcKoh7eXGU+2UmsNHrbd+FqaDvE6tDXVxZoHXRtl1twyGU +Ws5R5u2XBeo3Avi4NqiizVaC558ZZYNBFfWFkaAamo4/XLvGygF5+SOCSo80 +UXMwWc5YPhfydgi6ykpqoReu2olPnXJh11D4hZpqLeSicuKS8qdc+KyVZdrB +OIq6uqxELmTkwfH1VOUIL0DlvH7+jYb5oGUkwyFio4eCY0oPkNJfwmKYWsw6 +DUMUc2rK07zjJdB9PcXOJBuiXI7dOQLrCkHnKt+I5S9D1HonUjDDrRAecE4P +BlcaITEfl7U3+4uA089h4AScRnVmPF2d5Fdgqy37o8nXFG3k8/bb0VsM7vcq +p3JLLBBp0syGsaEEovdeNxfELVByvbdf+64SiBf49GlM1hIVhWS9iTctAbfd +ir2RzyzR56XN0jtLS+A27WjvthgrJEsb26xw8y2wF1Tu/n3vLGr6FPvNZFMZ +nDXiL+B5bY9aS/s3lomXgfw2pxD7OXvUkSahKKxeBjk+Owz/HT6Heq+U3Bnz +KoOIc/qxx+rOoXG+TvHA5jLYzV9wqbvfAa3abXPNIpWDwh75IE5RZ6RKJ03O +81fCUZn+n6bT55F6zxceW4VKsDlnYN0u4Iq0asSO1B6vhG13mY5B2q5IL+Z1 +RIR/JciPeqsak1yRmUqb3K4+4vs8ehnziheQd/CWSydSq2Cp+F/qkWA3lMX9 +aCZZggx3+ZUOPVLyRDa6Bd48WmTIh7OY7HlPxBPQ8OOBNRmkjrRPzcV5otvf +14auR5GB479sSfEFT2Rb7dd0eoH4/MEzj1opXojXwyl77SMFVj9rH/Ix90Yh +75QtPX1qIKU2MrQ09wpyDuqvVKMiSHtATnh0xRepPDUVofUiiHNbTpyL9EXs +1fW30mYQKF0/++Jyvi/6cstWIoS3DvIiJH9lj/iiW9jxHxPH6mCZQl/mtLyB +PmqK+bzJq4MDHqXxjdp+yFmjPfSY9zvQEg+Un5EKQI/VlAo9F99Di/5aysX9 +wcj1Y7rlsEkjDGxQd9rIForOVb1yrXzyCVyyhF70hUegz/R+h80vWmHwa4b9 +fQMSqit/8zbqTwfc2FDgLcwXj4S+dwZ9iOwCozllw4TIJHReKO30PE8PKDqs +1o8rpKAfwpTTahWfQbRpplDEMR3J1Xi+U4de0LGuo3TUZKHn+7zdztD7QOzX +P3dB3lxUYahNeUoagAkdjtIPV56jMM7MsMwdQ7A5KcR07e0L9DjB+g5W8xVK +++7dmDpUiOzqUhlJhsNQdebjgY74V8ixWvVh2OIIOFG3eQjLFaPlYjPcom0U +aqP7JVb7StBzK2OT93Hf4Zo9932dDaWI6cQ6UeMxBvhRGbP2Y2VIgHL+ZtKB +cdBqtheWv1COOK6oc0TMjoO8yImvbX4VKDGMLL+hfgIcvB2yUh9XovUz6x46 +Rf6ARWcHq8SIKrSVunD7uPMk5CY4Xe68W43GJsxa9JR/gsobN6lb58go2cHX +SmLxJ2T19LQytlHQlti5hetLP0Hu+9DRD9spKPTDtaQPf3/C0vAtSrIABV3e +59PrsX4KUucZg5o7KUhv6ZLt621TUO98LfniHgpiJLg7aO6bArel/MNeRylI +t8XWzcp5ClyYHtXjHhRE0wC/h5+moD0hTS67goJyol7GZbdOQXzSX7fWKgqy +H+IvpnRMQUxhUs0imYJab0/RGF+mANe+Q9GjUlAJinM2H5sC/RCjrw2NFBRw +YuKU6N8p8Mv/znutj4LWm0dKvlKggYQTsJv9piAsm6XTcJAGk0eZh4/+oSC/ +eUeHYRUa3Ng/7b33LwX9SFBJ5tWgQchG2tDvVQpq6h3a4n+CBvZx1PoQDgzF +OCguaTvR4Kp1JpeKAIZ2evW0dzymwZyg686tyhhSsc81GYingVXV3/4SFQyd +Mr7ROpZEAx2F1CcWqhgKVuJvXkyjQdWuLdtij2BocMmiYWcBDZ5c7hid18ZQ +amQ35llHg8sG3F42pzAkXNRVsDZLg00hH9mTz2NIKT17L9cCDS4s9Lr8ccWQ +4ePr+dt/0yC9lDvfzg1DQTf48mRXaDArz0bj98RQv5Z55mkuOiiHcGr7XMZQ +cmtnUrIkHfYJP71dF4AhwemO0IMWdLBe6TdrisRQfeTy/lvWdEgv5ytajcLQ +DVnZL422dPA5aOGvEo0R8zt4r5MzHQq/qlvGx2AoskWmNfoyHTTYkOihBAz9 +K7gpQA+ng/CWWK6lNAwVHs+jHo6ig9Z320n2dAzZjbZ73iPRIW3EQXpbBoYq +hWQowol0eGN6nrIzC0M+4e1OBtl0WKx21xPIw9DYBemCPIwOQxZ36A+LMBS7 +ZmI+S6VDx4P8c5deYUQwBS1rvafDwJODu0+/xtCz7jbjniY6/JsvSlhfjCHr +Y0Fz63rpsKMF9piXYoj9W06qyQAdXqee59xdhqHSoDb9lK90KJH0VZ0izFMi +9URpnA6KBs89/Cow1LS7TdN5lg6WrzRFLldjKIDye7yQRYcAM7KSNBlDsmel +SL9+0YFP421UH+FQUuAIaYUODkrm69UxDGn9k3xQw40Dle/AZF8tht4MBLSJ +yOLwM2tjcfx7DGXFR7MU5HDwMRUy3PEBQ/Gnc0R09+PQLnXvegLhgNo2dw9l +HPoDLXyj6jGknS2zWqqNw7qTGYLnGjGkaK8p06iLw+yItNgnwhL8Z04N6OPw +RwR/rfqR2G/YrSdrRjj0BKpcYm/CUKtXt6LxWRwWec0g/BOGqJJTVs52OPRJ +R4eOEi4ZXAn2dSCe/5ozUm/GUKKx/MenrjjY1e5zHSUcvhGYRe446HEFvlVq +IeqNasWPvHAgNw7fu0P4nFKI84+rONiMzedsb8WQMS0pbOk6DslmwvO2hHVy +ioo2++OQbXwaPSMstaPvt/ItHFqLWzp3tWFoRxtD7MQdHDZ9jeO3I8wRvv64 +7T0cTsjYdMUTpv8+EHsnAgdj5U7KKuGvJfqVcVE4VN/4N6HUjqH2i3Zf80g4 +BLcJR7gQrpPyWV8di8OEx/ksEuHSoQdyLQk4GDpvV6omnJeYajr8BAfuNs/D +o4SfmJT4zaXgkFabXryxA0M30VCdUBYOZkppa4aEvYPmJvfl4tCYNdjjQdhB +edNWnXwcaq7RRUIJm9J3HTJ/iYPSPY6uVMK6uSp2bq9wMCr0XiohrOJgeDew +GAdHzOJxPWEZAafnUaXE/QUvJ34hLNh+oyW9Aof3+emcE4Q5IyLnSqpx+MQK +pM0QXoZMoXoMB22eBrU/hBlL5dp9VOJ8U+pm1ggPv22+QH+HQ4pSPj97J9Gv +3qORK/U4mLu/zd5I+L30r2LeJhx2vRNL+f/z8q+be6VbcCip3/OHjXB+kuQ/ +tXYc+Kc2vVsm1ks2PSJ1qguHstR/M3OEH24yMXT8jIOtvm7YJOHgOter1/pw +OKTLE9JP+PLNoMT7gziMTWaPfCTspBJDefINB+8HarnlhM/guaMvR3EwddzU +nEFYL4/MUTuOw93XZpbhhFUdOxQ6J3G4WnBK5xLhPYI/LMZpOGy9eSjKhPCb +IOtcdSYOf43+Oe8jrDbUwCLN4qAyekycnTBVW+34OIs4H1uuj4PEfRpk5Seq +/ybq6YPN2TeEO9cL/SAt4zAgq9J6h7Cte8Th8RUc3IPT9xoT9trn1UtiZ0Dt +c81H34j6mo3u3zO+iQEaagFx2YRvzhgGqm9mwMT+szddCUeVywuP8zGAriVI +HyTqebtQqpe6AANMyteuxRNOvclNJgkzgGWS9eUk4SId3E5dnAG/pEVU84l+ +Uc0+V0iSYsCdC8v7zQnXbGhdHpNlQEFz3soS0W+tTa/SSAoM0Ez12AeEpy2u +fhvTYIBLgmDMc6KfAyqGD6hrM+B3GVn9COFVIbM7JF0GOE0bVDQQ/b/t20Fx +dQMGUHsPSwwQ+aDkOedCsmJAq3Bj9gCRJ9Wfzr8ds2HAzSWlOnPCxxS616mf +Y4CAZH5BI5E/FnOlOWPnGfBMgNqTT+TVjVt+E0d8GOBVxBWoW0fk/bcJVZIv +A3boKDRnIAw90LUOG/NnwFq8/8gfKpEfG9X2kG4zQHIx0jifyL/Kx789xyIZ +IOguINBPIfJg3rP6CIkBLbubHXcRbrTq5yTFMiD+EnJxJPK0T4T88kgy8fsj +gXFfqjC0lBuMR+cxoPuLb2hGOZGv1StXjyAGWNizN8QR+c+hbnfU6j0D+MTi +9d8S86G7qpzregMDyp7hA23E/PCuupRX2MKArbSPp1ZfEvdTOTAg1s+AD4Ux +e47mE+uXVxxnn2NATs99vv3EfKpX5dsuucAAxWsLRTuJ+RVbfnlE+zcDztae +MOd6hiG5cungwBUGhOeakodSMGRTFldM52KCUYb1lEMSsd+3V0S7pJigks62 +tfMRMR+UP/1kyjLhxM7LC7HEfDV9K1PBLc8E0ZmGAVNi/v4oGTI7fpAJTM5N +ae/CiTwsMQqr0mLCxSSe76H3iPN/IzubbsUEdvrThhvE/FYq+tbgHc6EQ8Nu +elxORP62ZiwERjKhWEMl8poDkddMZ+mwaCY4lY10f7Yn8vLgWEhmPBP0pJov +JdoQ/Vw+qfU5gwn7o90zZs5gaLR25q12FRMkLk7ZC+hj6HHnugzeKSb4mtzr +EpbFEGXufasYzgSLBPLv3dIYmtj+4O++aSZs2qnLKSWJIU1rDrsTC0yQ0pP5 +sVsMQ5MD3DuC2aahmJ0axNpB3Pc4f9S48DT0NLXbb2In6nlRNqDSaBqa7m/P +/zxC/J+rO9ax0WQa4tZXiOl/o6DrjxzlrM9Mw5MzEn2vByloQSJpkHV2Gp4O +uWwO+kJBy6fZQdltGlw+LjiONFPQxpyxTa/uTEPAg6L2pXIK2mWamZJdNg2P +qbK/zcIpaFgYm5+tnIaTAgzq8fsUlDnee1qXMg2RWnjB4RAKkrrJszpcNw0z +rlkjm4MpaG/ef6672qdhuFurJvIKBaksn9ufPDUNo7e6rZotKcgoX7g2WmwG +7lpqCdmKUZBpjHhCrsQMUFr8yjeLUpBFwJ6LFOkZ2Ka1vh8TpCCHk6oCU/Iz +cCRo9A0fLwVdmzS7oq82A6QZsbCE9RT0dE+E2LLpDJwTOSA+M0lGk/mL/3mG +zMBCv6c722syevCiW0dvfAaKOLbwOCmSkYSGKqRNzoAaLsjqlicjrDkJFmgz +8NY5P1xflozmmba6+bMzMNd8uEJoFxk5q44c416dgY4yI/5oLjJKH/WXurhl +FjTjehi549Uo6EqorPLeWWCM63x/mFiNDkak7X/nMAs5m3Vkp6eq0CuJu1/d +nWbh/ouWfy7jVWgfxZXE7TILKm1Glzq+VSEZpvyM5YVZSOtR4srsrkKiltWl +kxdnIcjK7gBXTRViF/+isSVwFszCoo9yxlSh/koeQ5u4WXhWzJVTqFiFQibv +uTEbZuG5fP64kWslOjbdosklNwe3v08eGystR11ylxy84+dAtiZS4Hh8Kera +fHUntjgHQnfu5x08VYIqRWU3CdvMw4HiOlFWeBG66KCsQ6mbhy9bBYxCnZ6j +6JPZ242lWTBx67RvOiMd1XXVqLLLssCtO/3vpZJ0xHLoP1uzhwUcSjW8En7p +yP7GtjSFfSx4+Um0Tf3vMySX9Z/0VmUWKHo+E1DgfIYa/tiptuuwoEbYWkJQ +LBWtvtp+9ow9Cx7srlgZUHmCVNQVgzgdWNBAxwrMWUnI/YNRap0jC/KMGdZv +ypJQ60DIsNJ5FtjC8+eCqkkolWPGg8+LBU3hYTk5hxLREZeWwG5/Fpy6q2mZ +dyAeeeOTKVGBLHDQ4Bf3ZsShjID1NXo3ifWwzIIdRXGIg6TBVnabBYEOaFxI +Lg59Jr94mHCfBQZ8T0J7JWIR54kPhafDWGCWwRt5v/Yx0uocbt0QwYJMhuBx +aY3HKGdSgM8vigV9Az7a1IMxqPe68iGFaGI/SlXe5EIS4loxtp4gsSD6E9fr +/2RJ6OhDr8Bnj1mwwMT+cmdFo2v8D1Ks4lgg/hOZnheNRv8D+rJlVA== + "]]}, + Annotation[#, "Charting`Private`Tag$26063#1"]& ]}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{18.28172831632653, 0.37500000000005684`}, { + 4.095234920676603, 0.3750000000000284}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.2229810961177494`}, {-0.10864291379529802`, 0.}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {431.3800801966813, -84.72370844417306}, + ImageScaled[{0.5, 0.5}], {272.5396218305151, 161.37849227461535}]}, {}}, + + ImageSize->{ + UpTo[540], + UpTo[167]}, + PlotRange->{{0, 576.6602068438744}, {-169.4474168883461, 0}}, + PlotRangePadding->{6, 5}]], "Output", + CellChangeTimes->{ + 3.826008397009801*^9, 3.826008507422884*^9, 3.826008595888225*^9, + 3.826008841294518*^9, {3.826009294082121*^9, 3.82600931820925*^9}}, + CellLabel-> + "Out[292]=",ExpressionUUID->"9d9174e8-24e3-40da-860e-87b1062d7e14"] +}, Open ]], + +Cell[BoxData[{ + RowBox[{ + RowBox[{"h6", "=", + RowBox[{"h", "[", "5", "]"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"F6", "=", + RowBox[{"RF", "[", "3", "]"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"eq6", "=", + RowBox[{ + RowBox[{"eq", "[", + RowBox[{"3", ",", "h6"}], "]"}], "[", "7", "]"}]}], ";"}]}], "Input", + CellChangeTimes->{ + 3.817563268660089*^9, {3.817563829122241*^9, 3.817563846550528*^9}, { + 3.817563950998456*^9, 3.817563956525237*^9}, {3.8175645239988813`*^9, + 3.817564534320574*^9}, {3.81756485534698*^9, 3.817564862343175*^9}, { + 3.817564919676697*^9, 3.8175649235785027`*^9}, {3.817565106996109*^9, + 3.8175651474217367`*^9}, {3.8175652415905113`*^9, 3.817565250029232*^9}, { + 3.8175657444559927`*^9, 3.8175657689660788`*^9}, 3.8175669120549498`*^9, { + 3.8175677716518087`*^9, 3.817567773706285*^9}, {3.817579700926876*^9, + 3.817579701354711*^9}, {3.8175810533593073`*^9, 3.817581114447541*^9}, { + 3.817581149854197*^9, 3.8175811499220247`*^9}, {3.817581265163169*^9, + 3.81758126542041*^9}, {3.81758144220247*^9, 3.8175814490334673`*^9}, { + 3.8175815152710047`*^9, 3.817581521148234*^9}, {3.817581635837187*^9, + 3.817581700879589*^9}, {3.817581767691791*^9, 3.817581768673394*^9}, { + 3.8175821842992363`*^9, 3.8175821844066353`*^9}, {3.817582286431714*^9, + 3.817582297101211*^9}, {3.817582488847374*^9, 3.817582488974349*^9}, { + 3.817582803954041*^9, 3.817582804222094*^9}, {3.817618756754203*^9, + 3.817618757439868*^9}, {3.81761900296082*^9, 3.817619003035212*^9}, { + 3.8176203963382673`*^9, 3.817620396528458*^9}, {3.817626242723531*^9, + 3.817626282042306*^9}, {3.817627870666265*^9, 3.817627904779098*^9}, { + 3.817629704809123*^9, 3.8176297360288*^9}, {3.818229759701996*^9, + 3.81822980267845*^9}, 3.825758726252138*^9, {3.826007884715208*^9, + 3.826007887211458*^9}, {3.826008571401293*^9, 3.826008579185329*^9}, { + 3.826008613577992*^9, 3.826008639890254*^9}, {3.826008725532415*^9, + 3.826008766732915*^9}, {3.826008867270997*^9, 3.826008886791129*^9}, { + 3.826008934528173*^9, 3.82600893500001*^9}, {3.826009331423201*^9, + 3.8260093457351437`*^9}}, + CellLabel-> + "In[293]:=",ExpressionUUID->"da646d41-2935-4f0b-94a9-796be9875f10"], Cell[CellGroupData[{ Cell[BoxData[ - RowBox[{"ListPlot", "[", - RowBox[{"M\[Xi]2", ",", - RowBox[{"Joined", "\[Rule]", "True"}]}], "]"}]], "Input", - CellChangeTimes->CompressedData[" -1:eJxTTMoPSmViYGAQBmIQfazAM7uv8I1jjcr1AhD9Tay+FETfv7+gCUR/uDO9 -A0QfOjUbTCvU7OwF0QVqhyeBaJ5pM6eB6H9NO2eA6Pbp++eB5f3fg+l3B5oW -g+gfSw+vBtHaIkp/JgDpqR91eCcC6WvJ84RB9J47MyVAtJu4iiKIvljKrQyi -76u+twfRd3QmOoLofK2rriCaaUOIB4j2kFKOANHb//BGgmhxRr9CEC2f/gRM -v+M4KT0f5K+7F8C0IIOCPoie0+1sA6If6P/3A9Fsq7T8QfS9zBrbHUB6L5+G -HYjOPvHu68aiN46nVph+B9EAWi+f9Q== - "], + RowBox[{"sol6", "=", + RowBox[{"FindRoot", "[", + RowBox[{"eq6", ",", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"\[Theta]c", ",", + RowBox[{"\[Theta]c", "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"A", ",", + RowBox[{"A", "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "0", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "0", "]"}], "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"FC", "[", "0", "]"}], ",", + RowBox[{ + RowBox[{"FC", "[", "0", "]"}], "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"FC", "[", "1", "]"}], ",", + RowBox[{ + RowBox[{"FC", "[", "1", "]"}], "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"FC", "[", "2", "]"}], ",", + RowBox[{ + RowBox[{"FC", "[", "2", "]"}], "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "1", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "1", "]"}], "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "2", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "2", "]"}], "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "3", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "3", "]"}], "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "4", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "4", "]"}], "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"FC", "[", "3", "]"}], ",", + RowBox[{ + RowBox[{"FC", "[", "3", "]"}], "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "5", "]"}], ",", + RowBox[{"0.1", " ", + RowBox[{"RandomReal", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"-", "1"}], ",", "1"}], "}"}], "]"}]}]}], "}"}]}], "}"}], + ",", + RowBox[{"MaxIterations", "\[Rule]", "50000"}]}], "]"}]}]], "Input", + CellChangeTimes->{{3.8175612726329412`*^9, 3.81756128486736*^9}, { + 3.8175614038617268`*^9, 3.817561415404965*^9}, {3.817561511096093*^9, + 3.817561563944231*^9}, {3.81756250196518*^9, 3.817562507914916*^9}, { + 3.817562967760625*^9, 3.81756298304041*^9}, 3.817563161460335*^9, { + 3.817563206558021*^9, 3.81756320676147*^9}, {3.817563530710863*^9, + 3.817563550054001*^9}, {3.817563775700533*^9, 3.817563804069632*^9}, { + 3.817563971222761*^9, 3.817564086350409*^9}, {3.817564155680212*^9, + 3.8175641623358994`*^9}, {3.81756424029494*^9, 3.817564240399859*^9}, { + 3.8175645416987743`*^9, 3.817564542202907*^9}, {3.817564715061411*^9, + 3.817564723202471*^9}, {3.8175648450855713`*^9, 3.817564883921851*^9}, { + 3.8175650025642157`*^9, 3.817565074155829*^9}, {3.817565217921039*^9, + 3.817565230520749*^9}, {3.817565359356901*^9, 3.8175654247402163`*^9}, { + 3.817565602697175*^9, 3.817565635407323*^9}, {3.817566059389201*^9, + 3.817566077942937*^9}, {3.817566269837482*^9, 3.817566273547044*^9}, { + 3.8175663066250553`*^9, 3.817566306784181*^9}, {3.817566684914805*^9, + 3.81756668549652*^9}, {3.817566919102108*^9, 3.817566934549343*^9}, { + 3.8175696638331223`*^9, 3.817569664744486*^9}, {3.817579706169273*^9, + 3.8175797767735577`*^9}, {3.817581067506674*^9, 3.8175810689721537`*^9}, { + 3.817581121371869*^9, 3.817581169115347*^9}, {3.817581207766066*^9, + 3.817581270669099*^9}, 3.817581309702499*^9, {3.817581355857291*^9, + 3.817581356026667*^9}, {3.817581392130506*^9, 3.817581416424316*^9}, { + 3.817581457365512*^9, 3.8175814943565397`*^9}, {3.81758152586852*^9, + 3.817581526654297*^9}, {3.8175819155874557`*^9, 3.81758195123713*^9}, { + 3.8175820720836487`*^9, 3.817582073079625*^9}, {3.817582192281794*^9, + 3.8175821927535973`*^9}, {3.8175824979646*^9, 3.817582531058486*^9}, { + 3.817582601242318*^9, 3.817582616669943*^9}, {3.817582763042087*^9, + 3.817582823261053*^9}, {3.817582997786705*^9, 3.817583024595161*^9}, { + 3.817584829987904*^9, 3.817584859074748*^9}, {3.81758494165969*^9, + 3.81758496226119*^9}, {3.81758499940244*^9, 3.8175849995669928`*^9}, { + 3.817585077390765*^9, 3.817585077573927*^9}, {3.817585156651001*^9, + 3.817585156823139*^9}, {3.817585322721836*^9, 3.817585349348461*^9}, { + 3.817585456385895*^9, 3.817585457280986*^9}, {3.817585513558703*^9, + 3.8175855137401114`*^9}, {3.817613675501788*^9, 3.817613676578967*^9}, { + 3.8176168804169617`*^9, 3.81761688926372*^9}, {3.817618774003889*^9, + 3.817618793385603*^9}, {3.8176190151288853`*^9, 3.817619038205636*^9}, + 3.8176190698677187`*^9, {3.817619141079945*^9, 3.8176191871342373`*^9}, { + 3.817619234638775*^9, 3.817619240400311*^9}, {3.817619299848545*^9, + 3.817619332922262*^9}, {3.817619399549685*^9, 3.817619401809965*^9}, { + 3.8176196502657223`*^9, 3.817619664950913*^9}, {3.817619740359915*^9, + 3.8176197551387*^9}, {3.81761980328899*^9, 3.8176198034943733`*^9}, { + 3.817620410694891*^9, 3.817620463869529*^9}, {3.817620674916114*^9, + 3.817620678055534*^9}, {3.817620745057685*^9, 3.817620761178657*^9}, { + 3.817626286376536*^9, 3.8176263645243196`*^9}, {3.817627920512431*^9, + 3.817627961648692*^9}, {3.8176289379929667`*^9, 3.8176289382553997`*^9}, { + 3.817628977854362*^9, 3.817628981182324*^9}, 3.81762904026398*^9, { + 3.817629751676261*^9, 3.8176297825415983`*^9}, {3.818229743661914*^9, + 3.8182297488938627`*^9}, {3.8182298139507504`*^9, 3.818229816310824*^9}, + 3.818229853009067*^9, {3.826007900867858*^9, 3.8260079401484003`*^9}, { + 3.826008127440681*^9, 3.826008150233103*^9}, {3.8260082971323853`*^9, + 3.8260082972439747`*^9}, {3.826008404190578*^9, 3.826008404238015*^9}, { + 3.826008585010708*^9, 3.826008594433675*^9}, {3.826008644130653*^9, + 3.8260087820215483`*^9}, {3.826008892431964*^9, 3.826008975209036*^9}, { + 3.826009256518217*^9, 3.826009259453992*^9}, {3.826009349375922*^9, + 3.826009406408629*^9}}, CellLabel-> - "In[239]:=",ExpressionUUID->"3fee7ec2-e0c4-4420-8192-c46efe85e265"], + "In[298]:=",ExpressionUUID->"bd584363-7bad-4830-803a-025a2ac0e9a6"], Cell[BoxData[ - GraphicsBox[{{}, {{}, {}, - {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.009166666666666668], - AbsoluteThickness[1.6], LineBox[CompressedData[" -1:eJwVVHc41+0XtuO1Z2mpKIoWGQ3dD0WvJJIKb1alpKGUQtGSvERUROVNmkZv -Ul5lJd8yy8iIspO9+TzfYfT7/v4413Od65zn3Oe+zrnPwn1etu5CAgICH/j2 -/1dMbdjlgLMXkfc2EAzNm4LBzKEdkanHySXxXsvON1NQ47G0Ff09iJO7n3Gr -xRS2l3ZrfZ7aTwTXvcuv65vE2VLHr7sfuZK8m7bKy2InscmvczxrwV6S4On6 -cHjbJF4uf1EToWJPrj18MZwlPomTboLWDT/syBl9n1PHSycwIWGVdGCDLck6 -Nnv/8qgJzI0KzPJTtCEHJUzvm++dQIrGth7r8G1Elg75L9OeQPz+dZumgyyI -QFIoZ98UD/XiK3+2D5uTRjcpTvhXHtrEnaK/ZW0mJXmW8g7JPJyMu9RRUGVK -dH2kDwcG8WA6dny1mZYJ6a4/aFHgysOLO1MXbh4C+XBfy3xkIw8eyXcc0r5t -IIFnmoub5/PwWkqywfDWOnKrNLh3vwAPEZ8EB0VuGJEgK6cQ559c+Mak+Q5/ -MCAaTsrBaUVcLNOUaT2ooU+anTz08IKLjjnGNjPT9Mhfd/d9Gb3FhXxjyMYM -F11iHflC+b9zXChqivxTtGI1qd11fMLnABdPRJkTl1VXkYBRK9uF27nIWDAe -arN2BQniCEQ/N+Kiz9/p7k9PHeKUvebVlDoXlW87Do0XLCNuxwx/KMpxobY0 -zMnZeCk5LyDm0TLJwStFjF+r0yQfdV6k7urlQKqb42gVtoQ8VldrP1rPwc6g -HQ2D9ouJ+Z1iqblFHHiumacnZKxBvnnZdDn+x/elo/0P6qsTt+czKhc+5fvx -Zk1rySJys+rR28MxHERXpshW/bWQiOQOzdS5xoHAX7XSacELyKtH2k37fDn4 -g3utb8YFNXL9WNsBcU8OUj/uvrP+j/mkQWzi+My9HKRcNxJqTJ1LNJ2GlcO2 -czBrVvJGQfc5ZDm7u9DZhAPdzdbM2KrZ5OGh9HURazgoleela8qqkpnmJ72U -tTho3+PJ05+eSU7L0cThORzkJ1pMNkyqkI6ziVZz5TjI2FPR2C+hQhpJ+bxo -ET5eZID3Pg1l4j83fmwPlw37r6+PmlsqkdXFRk1ug2z0B4RXvwtQJDruBxTT -frIx26egZjhLgVQ5uFA0sLHlvFr1KiEF8tZMVlK2gg2PWdkvy23lSXPMYc7s -T2w4xTqYLU+VI7p6Klfdstl4LxwmmyMtR6y9zKJbX7HxpnZ0qG9AhoQYvNGK -ec5GQIdFaH65NHne2GB/8QEbeTmd2xRzpcix6PV74mPYOHte9o3CW0mSOdV2 -pC+cjfzhhK+TeX+QrdcGxjyusuF9ZNPYvCoJwhswd1UKYGNBnbJTxYA4mdA+ -vKb/NBuljz8anlESJ8cfm4oOHWXDTu1q2OXNM4iun7bvHHc2rig1OxwPECMx -a4ZMTjjx8e1DPufkiRI6v3tx/y42ZK6J+nJniBLRgmVM+HY2zM7XvMy0FyEF -JD/cbgsb4bs8e6PShIm15WDDRsLPH7DSWyorTNbdDquwXMvGufafSRqnhUhd -oYuXvy4b41sfSa5uESR5yhEfS7TZiOu48aeAjSBxDZfoMFrMBnecLrAoFCDV -ngr9hfPZ8N0cUlZoIkD6PmULn5rFRpLxhNnJoN94PuTruEGBDZ6LbgYrYhpG -I680F0mxUfs79aRC4hQKnjonq4uxQet8Xo7kTmIz75kWEWDD0vFKzUQb/+6U -Rwyd4VHc6WmQqpKewH79WNuicYoxWfUuFRMeEv4OTFk1RNHL5nLO8nX6RaPL -Ib2HIm45CX2Uw4Hpjrksyw4Kh3vN5lb8vQowLNsx2UyRWuROdWzZMLj4yYfV -QDH4UXrt9BMKjaOFjxJqKLY5Jlpc/M3goeb6Xbcq+P/TRlk+zgxyNWTE75VS -GF9y93pcMA4DC5+NmZ8oLPz/kq7VHoc+qyCwK5/Cf7e8dnXcGDocjHZq51D4 -rcuiR6XG0CjfZHE5k+IeomaeujKKI4K7xvvSKX6VPA15Oz2CO6uzuw79S/Hb -X++MQuAI7h8LyGGSKNLXYp694Ai2tq2Vieb3yRLzerEvZBjix/45Z/aQYrtW -pY604jA0b1s8FYunCPVksjxMh+A8mKpbH0uxya7K4pj7IOTERore3aZoXMHq -6YoYQErEd9mUSIoPqtlH7uX1w6Ql7b+U63z+d0Lcrcb70PNg8ZHsEAqp+hbJ -wpV9uHrHuLkhiELZ7K1M5YleuFxfxxK7RMHR/n7WKLMH9YuDK0wCKE4Ung4r -F+qBHys+K9SP4kZJbPL+nd3QXf/buM2Hn+9zxrDseRe6vFWUzbwpSmPJue9C -XTAu0Z7KOE6xZUtsuIdbJ9Zt2pmhd4Ri78pDxts//kLn6b3TuYcotO3kJty1 -f+HwbNZduwP8/otbWWExHXBxSNjOdqXYkZQiEy/aAYOH91ueOFHY/RH4ztf3 -JxZqtCu5OlK0TttzpgfbEdYsm7l4D4WYattm+cPtuKO1PJLupBBgxrbf7GyD -Xkn8ka82FOU+yoPuh9qw5KqKyjsrim/2zxRP9rWCq37TKXkrhf3r5tw471Zs -/mUu/3QLhU3wt7pwbgvSXO8Lpm6mmB9zU+2DYgvkPi8UyDGhKKm2lXug14yl -iUEttRspDBQGFk7YN2Hi6bVT3PUUS/D+bPKVRoRu4kUuWUvRv7ri85XXP6Bh -kCbtZECh5t/q5tL9HaG3/PLv61H0tHj3qyz6jjClOZd+raIIWXM/+KprAyxe -mGsZrqBwG057cO1RPZw9b9+I0qbI+vVygNf7DX5R56LGtSjmyBx0yTP4hlzB -bRKuS/j1lxDZ9OA6nKrSrK5Wp7h0Ot8g83sthpdMlVkv5Ovn3xuL0nRrUfbn -xarq+RTOAQs0L0bU4FDH4gKXuRSqz5qiJQer0XxtXsCYKsXovh/phjuqIWy1 -rT1iJsWrzyIpvZlfMfV6y9fVyhQ+DXmhkou+Ii7ZZkWjAkXlbd6ayzeqcPn9 -9vpwOT6fL2mOhgJVSAwsSzeXoTiV8sFb6XQlOpiBBDEpiuViBw/MqKtApsuZ -4C8SFCqTkRKtJeUIGH235d4Mvl5E2iVDWV+gV/1PiZcoP86VGG8q+AyFZbEj -W4Upfg4m3sgoKoPKnsQnOoIUTpvqO/qqSuFhjs9K/DuwbEPcEqe2EtA2723C -Uwy+77RO6mSKcTLhvTSHx8AoS77+oGwxf0/VOaMcBpH11stylxeh0lBxfIwy -CFMeUC21KcTEBv9e3jiDcZtiVS/fT3C5+ebjjDEGUoNJ1yMef4SJZ/jR2SMM -jvjfypGsZSGat/6z7hCDs7ZHv5ZKsKCU6VpuM8DHrxYrTzMtwIMEIefTfQxs -eX6Bjy58QNzz6wfjexhUe5b5/52fjyjNsuqyLgZTBp2zt4rmI8G9J+r3LwbH -gjPa7t7Lw9/6XuFGHQxCx4qDOHq52JWw8fWZdgaL1A+IXqzOBpMQNfyulcGz -yu+xov5Z6B1i6wq1MPgtJ/DWWfMdBpvsPKybGAhaqSvt+5EJuw1NgQ9/MPhn -8Nz1ruj/MLJT2Z3TwKCwaVq9eHcGLLvLJezqGagqxbGb5r3Bsy2ae9/UMahv -Kl0j0pcOzUNXLVVrGahdeSA3M+8V1CViiy5XM/B2nMobi0lD9tDO/OEqBhU1 -t2uGe/+F9KzRxfsrGTQyrN3ir1Px4PdAd0M5A5FVL4UHryYjYVSYZ/eFP48A -8bj9+58jwm3l1poyBjkKGUE6lk/Rj6TSPaUMthVM1UkbP8Zpj86jLcV8Pkkm -+uVGiVAVj1l0pIhBfMHiL/obE8CSSWjifWKwwtQ3cu7d+1B6rB4Z8ZHB+Zr1 -F81KYxGa4KOzhMXnl9DpfkEqGqYSak8+fGAQo1k67O4ahbvhP/pd8xkkt3z+ -sSIsDGWisVT4PYM/974+ePhsEFjDJzKSc/nzWblUN0jiHD4Npc3dlcMga7ma -kXypJyRRoSaczeB/DiUesg== - "]]}}, {{}, {}}}, - AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], - Axes->{True, True}, - AxesLabel->{None, None}, - AxesOrigin->{0, 1.3303316622908086`}, - DisplayFunction->Identity, - Frame->{{False, False}, {False, False}}, - FrameLabel->{{None, None}, {None, None}}, - FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, - GridLines->{None, None}, - GridLinesStyle->Directive[ - GrayLevel[0.5, 0.4]], - Method->{ - "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, - "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ - Identity[ - Part[#, 1]], - Identity[ - Part[#, 2]]}& ), "CopiedValueFunction" -> ({ - Identity[ - Part[#, 1]], - Identity[ - Part[#, 2]]}& )}}, - PlotRange->{{0, 33.21001948227897}, {1.3303316622908086`, - 1.8590183303232417`}}, - PlotRangeClipping->True, - PlotRangePadding->{{ - Scaled[0.02], - Scaled[0.02]}, { - Scaled[0.05], - Scaled[0.05]}}, - Ticks->{Automatic, Automatic}]], "Output", - CellChangeTimes->{{3.817637498101*^9, 3.817637523899531*^9}, - 3.8176379865886707`*^9, {3.817638080223015*^9, 3.817638097089458*^9}, { - 3.817638411035137*^9, 3.817638418380022*^9}, {3.817638453141902*^9, - 3.817638469864127*^9}, 3.817638603759224*^9, 3.817638801668243*^9, - 3.8176402094564*^9, 3.817640385397132*^9, {3.817667011743911*^9, - 3.8176670445182667`*^9}, 3.817667195320567*^9, {3.817718248426116*^9, - 3.81771826978881*^9}, 3.818229626300428*^9, 3.818229690058893*^9, - 3.819021395997566*^9, 3.825762989816481*^9}, + RowBox[{"{", + RowBox[{ + RowBox[{"\[Theta]c", "\[Rule]", "1.2305793067707176`"}], ",", + RowBox[{"A", "\[Rule]", "4.659415307558827`*^-6"}], ",", + RowBox[{ + RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "0.3361696376723485`"}], ",", + RowBox[{ + RowBox[{"FC", "[", "0", "]"}], "\[Rule]", + RowBox[{"-", "0.05636154183159247`"}]}], ",", + RowBox[{ + RowBox[{"FC", "[", "1", "]"}], "\[Rule]", + RowBox[{"-", "0.0799434233370687`"}]}], ",", + RowBox[{ + RowBox[{"FC", "[", "2", "]"}], "\[Rule]", "0.04270212266158187`"}], ",", + RowBox[{ + RowBox[{"gC", "[", "1", "]"}], "\[Rule]", + RowBox[{"-", "0.06022114083701366`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "2", "]"}], "\[Rule]", + RowBox[{"-", "0.0028540435698168752`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "3", "]"}], "\[Rule]", "0.00003415046608613062`"}], + ",", + RowBox[{ + RowBox[{"gC", "[", "4", "]"}], "\[Rule]", "0.00005707927244342352`"}], + ",", + RowBox[{ + RowBox[{"FC", "[", "3", "]"}], "\[Rule]", + RowBox[{"-", "0.0012277166673989044`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "5", "]"}], "\[Rule]", + RowBox[{"-", "7.245872940314471`*^-6"}]}]}], "}"}]], "Output", + CellChangeTimes->{ + 3.817582243098262*^9, {3.817582385638481*^9, 3.817582397851478*^9}, { + 3.817582440404005*^9, 3.8175824479120073`*^9}, {3.8175825951659813`*^9, + 3.817582624284917*^9}, {3.817582771007656*^9, 3.817582790104224*^9}, { + 3.81758295912363*^9, 3.8175829694259653`*^9}, {3.817583027875955*^9, + 3.817583190779282*^9}, 3.817584063702273*^9, 3.817584867935519*^9, { + 3.8175849339417667`*^9, 3.817584980641724*^9}, 3.817585038615395*^9, + 3.817585139927609*^9, 3.8175851869224243`*^9, 3.817585430610086*^9, + 3.817585477765168*^9, 3.8175855203843403`*^9, 3.8175855792410593`*^9, + 3.817613703655264*^9, {3.817613820666153*^9, 3.817613850447565*^9}, + 3.817613970041641*^9, {3.817616894358282*^9, 3.817616938169628*^9}, + 3.817618971174425*^9, 3.8176190263238583`*^9, {3.817619068552326*^9, + 3.817619077160112*^9}, {3.81761912964554*^9, 3.817619175572*^9}, + 3.8176192081695538`*^9, {3.817619251398644*^9, 3.8176192611467113`*^9}, { + 3.817619296755875*^9, 3.8176193494538918`*^9}, {3.817619385600893*^9, + 3.817619417396243*^9}, 3.817619473822008*^9, 3.817619517658676*^9, { + 3.817619647045698*^9, 3.817619702143152*^9}, {3.817619744218728*^9, + 3.81761983514673*^9}, {3.8176206689279957`*^9, 3.817620689262381*^9}, { + 3.817620739706464*^9, 3.817620790926754*^9}, 3.8176208714846783`*^9, + 3.817626520486795*^9, 3.817627350228532*^9, 3.8176277415834227`*^9, + 3.817628956472193*^9, 3.817629002825632*^9, 3.817629056020689*^9, + 3.818233161500917*^9, 3.8257607803594303`*^9, 3.825761120850746*^9, + 3.8257632795319233`*^9, 3.825764106769557*^9, {3.826007923264882*^9, + 3.826008038405919*^9}, {3.826008123160612*^9, 3.826008165509284*^9}, + 3.8260082910872498`*^9, 3.826008330378909*^9, 3.826008492624241*^9, + 3.826008594737713*^9, {3.82600870352409*^9, 3.826008812118639*^9}, { + 3.826008936050972*^9, 3.8260090205065403`*^9}, {3.8260092507911787`*^9, + 3.826009292248102*^9}, {3.8260093981014147`*^9, 3.826009410209749*^9}}, CellLabel-> - "Out[239]=",ExpressionUUID->"2bfc8e2b-006d-4096-8c4b-8422da967dcb"] + "Out[298]=",ExpressionUUID->"83698929-f178-4c4d-9569-7a23e1e9c919"] }, Open ]], +Cell[CellGroupData[{ + Cell[BoxData[ - RowBox[{ - RowBox[{"\[Chi]\[Xi]2", "=", - RowBox[{"Table", "[", - RowBox[{ + RowBox[{"GraphicsRow", "[", + RowBox[{"{", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{"h6", "[", "\[Theta]", "]"}], "/.", "sol6"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol6"}]}], "}"}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"Plot", "[", RowBox[{ RowBox[{ RowBox[{ - RowBox[{ - RowBox[{ - RowBox[{"{", - RowBox[{ - RowBox[{ - RowBox[{"h2", "[", "\[Theta]", "]"}], - SuperscriptBox[ - RowBox[{"t", "[", "\[Theta]", "]"}], - RowBox[{"-", - RowBox[{"\[CapitalDelta]", "[", "2", "]"}]}]]}], ",", - RowBox[{ - RowBox[{"-", - RowBox[{ - RowBox[{"(", - RowBox[{ - RowBox[{"Transpose", "[", - RowBox[{"Inverse", "[", - RowBox[{"D", "[", - RowBox[{ - RowBox[{"{", - RowBox[{ - RowBox[{"R", " ", - RowBox[{"t", "[", "\[Theta]p", "]"}]}], ",", - RowBox[{ - SuperscriptBox["R", - RowBox[{"\[CapitalDelta]", "[", "2", "]"}]], - RowBox[{"h2", "[", "\[Theta]p", "]"}]}]}], "}"}], ",", - RowBox[{"{", - RowBox[{"{", - RowBox[{"R", ",", "\[Theta]p"}], "}"}], "}"}]}], "]"}], - "]"}], "]"}], ".", - RowBox[{"D", "[", - RowBox[{ - RowBox[{ - RowBox[{"(", - RowBox[{ - RowBox[{"Transpose", "[", - RowBox[{"Inverse", "[", - RowBox[{"D", "[", - RowBox[{ - RowBox[{"{", - RowBox[{ - RowBox[{"R", " ", - RowBox[{"t", "[", "\[Theta]p", "]"}]}], ",", - RowBox[{ - SuperscriptBox["R", - RowBox[{"\[CapitalDelta]", "[", "2", "]"}]], - RowBox[{"h2", "[", "\[Theta]p", "]"}]}]}], "}"}], ",", - RowBox[{"{", - RowBox[{"{", - RowBox[{"R", ",", "\[Theta]p"}], "}"}], "}"}]}], "]"}], - "]"}], "]"}], ".", - RowBox[{"D", "[", - RowBox[{ - RowBox[{ - SuperscriptBox["R", "2"], - RowBox[{"(", - RowBox[{ - RowBox[{"F2", "[", "\[Theta]p", "]"}], "+", - RowBox[{ - SuperscriptBox[ - RowBox[{"t", "[", "\[Theta]p", "]"}], "2"], - RowBox[{ - RowBox[{"Log", "[", - SuperscriptBox["R", "2"], "]"}], "/", - RowBox[{"(", - RowBox[{"8", "\[Pi]"}], ")"}]}]}]}], ")"}]}], ",", - RowBox[{"{", - RowBox[{"{", - RowBox[{"R", ",", "\[Theta]p"}], "}"}], "}"}]}], "]"}]}], - ")"}], "[", - RowBox[{"[", "2", "]"}], "]"}], ",", - RowBox[{"{", - RowBox[{"{", - RowBox[{"R", ",", "\[Theta]p"}], "}"}], "}"}]}], "]"}]}], - ")"}], "[", - RowBox[{"[", "2", "]"}], "]"}]}], - SuperscriptBox[ - RowBox[{"(", - RowBox[{"R", " ", - RowBox[{"t", "[", "\[Theta]p", "]"}]}], ")"}], - RowBox[{"7", "/", "4"}]]}]}], "}"}], "/.", - RowBox[{"\[Theta]p", "\[Rule]", "\[Theta]"}]}], "/.", - RowBox[{"B", "\[Rule]", - RowBox[{"ruleB", "[", "h2", "]"}]}]}], "/.", "sol2"}], "/.", - RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], "/.", - RowBox[{"R", "\[Rule]", "1"}]}], ",", - RowBox[{"{", - RowBox[{"\[Theta]", ",", - RowBox[{"1", "+", "0.001"}], ",", - RowBox[{"\[Theta]c1", "-", "0.001"}], ",", "0.001"}], "}"}]}], "]"}]}], - ";"}]], "Input", - CellChangeTimes->{{3.8182296960555153`*^9, 3.8182296994771023`*^9}}, + RowBox[{"F6", "[", "\[Theta]", "]"}], "/.", + RowBox[{"B", "\[Rule]", + RowBox[{"ruleB", "[", "h6", "]"}]}]}], "/.", "sol6"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol6"}]}], "}"}]}], "]"}]}], + "\[IndentingNewLine]", "}"}], "]"}]], "Input", + CellChangeTimes->{{3.8175672854849167`*^9, 3.8175673108365*^9}, { + 3.817567343605356*^9, 3.817567515945986*^9}, {3.817567689779602*^9, + 3.8175677001061993`*^9}, {3.817567852209393*^9, 3.8175678553653107`*^9}, { + 3.817569677608418*^9, 3.8175696880410147`*^9}, {3.817581502775428*^9, + 3.817581583359663*^9}, {3.817582250277421*^9, 3.817582268443882*^9}, { + 3.8176137509420633`*^9, 3.817613772032806*^9}, {3.817616947220008*^9, + 3.817616967115974*^9}, {3.8176195353257837`*^9, 3.817619546043696*^9}, { + 3.817627764775979*^9, 3.8176278238158283`*^9}, {3.818229824671139*^9, + 3.818229831606958*^9}, {3.818233166561644*^9, 3.81823316664911*^9}, + 3.8182444139503117`*^9, {3.826008373734087*^9, 3.826008396493952*^9}, { + 3.826008816966032*^9, 3.826008840830307*^9}, {3.826009299311204*^9, + 3.826009316127002*^9}, {3.826009419360985*^9, 3.826009431216947*^9}}, CellLabel-> - "In[240]:=",ExpressionUUID->"16683f20-3a25-47da-8c9c-58bfb1a56ae7"], + "In[299]:=",ExpressionUUID->"f7b18b38-4aa7-4d26-8653-c5282fb8bc07"], + +Cell[BoxData[ + GraphicsBox[{{}, {InsetBox[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwV13k8VPsbB3BCpFIipGQJiVKRiPIhlJAtshRJoogUqYRsyZZkC+EKFT9L +icgS5pC061oiEjNzBpHUKLeu6ve9f83r/ZqZ8/rOc57zPJ+Rdz9pe3QeDw+P +EC8Pz3+vdHyQIGad9dtSnbtt5XfqH3GXSvVq1EFx1xfJmJtyCNqXXbS50RQz +FzVPHb65CX/MD5RLNDqCPhnRvPemAYw7GjYvaDyGta7uvvo3reE5fzJgXuM5 +9PJZfJC76YazSvzL/zTEIuluaXR9vj94tJKP/mrIxJWTZkvX/RWOSrpt3Ky9 +BJn/NOkMmF2DS9bCwmtKVTBN/MO3Mj8L1oI/JpNM6+Bfmu2lOpiPhqfvPaqm +m2Fzylzy7823EHu7ZjZJrBWpZ+bX160vgd+yn10Op9rhmCbis8SrHIsKZPWP +Nz8Fv7zjj8m6e5BLya7M7X6BzMyN5x2S70MnQ2hIQ6ITbb9PpLqFVeNG6pRX +8a03iE/oV5vSrUF/wWOdnRu68Li4RvLu+1poXZbuUertRnRv2ekDV+vwYqX0 +92z3Xnz6oHxHZUkDIi5dZzot7cMPn4KH7zMaIco7X2JHTT+8hKTu4NcjDK6X +fVWJAcxXOfHvE41mPN5QY+P/cRD6A0NLxDRbMD4069RybggHbHi2ZVS3IP3+ +gMQG8WGsMgj0E93MQOFvTcVFY8PY8Ud1OjObgS0PTrcqTAzj6mBu0bwcBtp8 +Kt23TQ1jc6Wit08uA5w+9ZueM8PYFcZdq5vPgErVutUMnhHEz+j5vLjFQIWX +rFTQihEM0NS31nsM1HUKLxo2G8Eyt8hdvx8z8LpghFtVPoLCVgXLrE8MCNvX +Ki+uHMH+gOUlH6YYMBa84uRZPYIH+72ZitMM1PvoNEs1jECdc+dz6VcGbm+5 +Gh/aMYIvzf7+ZbMMhLVvl9/NGkH0AZuJIF4K6z9et3wnxcTgUpOnm8QpeOX4 +RmiuYqK5R+1/tsspFFgaVSfKMiH75qtHgAQFqaqpFVBmYkogzatSigJfiAld +qMnEJWHTXFkZCu8Wcy/4WjKh391c2qZEIW6zZQlPNBMQDT+8aSsFxW0b/shd +ZiJxRiZslTaFFoNF9obxTHCqkzMEdSh8t3rGE5nMRPqOmPp32yh4+O1y5Mtl +osGz/HngDgoo1RecX8OE55qxn2eNKXxT3Hh04RgT3LKaV3U2FJLXizSoTTDh +vnX+5ku25Pdt+bTUYoqJtuL2BKt9FNyNShsTZ5g4KbZJdcSOQufhteIivCw8 +v9As+I8DhdI82dal0iz8G8xQn3GhcFhqqbyEBQvsmdIzSscpyM0LbVa2YiHS +Xtj1BfHwxLiLti0LmhU/TE57U3Btbs12dGSh45iaeIMPBWfPs+I3PFhoeLTj +joEfBdvqIUG5UBb49axSVwZQEM0zv70pnAWOVcrx+8Sdlx8aG0axIFz+cYdp +IAXLAykR7nEs/C84dNj/DAXzebv+LUpngfdtjnDNWQrG1uVT6ypYUOD3HloS +Qu6HrvQV3UoWKgUkEjKIqTWX1cyrWegT9diyKpSCwazbsRP1LPxVFB+iGEZh +R544s6KdBRuRyGGVcApbJy/0aH5goXpSh8UTTWFtrFnjjqVsJO2J2vopntTX +13IqWYyNjYeXjR9IoPDT1laOLcFG+SMxr6fEL2Sco+Nl2Bh5/astP5HC6arj +Fm9V2Wh/flTAMIlC41DsoL8JG7dK3cJ3X6Og3JYo0mbKxtpImfcFxFdLkg0k +Ldhw3JvG94vYPTCz6JEtG7+djMrLUygIChefEHZjo0S5yp8njdRT68lcYTC5 +Xp9bvk8GhQbp5+qzoWxI2CskVhEr8rx2M4tgI6DpC34Szz7rbZu+zEajoM2f +qOsUctw4iTvS2eib03gXm0lh/q6PTcmZbHwRvcT3hPik2tQ06wYbHbViM3xZ +FHZ+/2YXX8CG9Lcw1WDi0QQBmbd32Zi8WzfukE3B+tQCK9UqUh/fVWaJxPX7 +F0eE1rChHf7Jv5k4UX45veYRG8vPB4oq3KCgUatY7v+MjQGNvTf6iG/kqHxo +fcnGklan9Xw5FPgj14tKvmHDLm1B1HritxZbzjx6S+rlNhV+gTiEabRDmCb1 +V1/SKJxLYZeMTYriGBvOKVE264iXOrqO6k+w0Vt/uXsXceHLc9cCvrBRPDRV +EEZ8QiiGc2WGDc/qdVOZxFuNUvWKZ9l4yVekfJ/42cNyevAXG2IbBQ+NEKdx +63VneWj81OhwnSV2Ve+4KspPI4fnvPmiPAoqx3vYaoI0LNsElOSIvxQyt+0S +piFX7TyhQVw/9DnJbTGN4SUeecbE0St+sYKX0pCRF9G3J5a6Kpl0V4J8vuHb +zgBi5lNF1tMVNPoFFxWHE5fxa+iwV9GYuRb4I5E4CLjyW5bGSNdK7UxiBFsw +pdbQ6LOZcisgFnrgpK2pTGMwqy+olPjvz56Je9fRaDN6cq6KOEc1cMRrPQ3N +L7c964k9j0ZsjdxI4+ZeD4MW4k35SQk5GjQcRCYFHhP/fHdjuEaLxrmvqrUd +xG3LS7Te6NDgbV1s95w4ybomfkKPRottxOALYseE1g8CoOEVdtr6JbFCe+cW +uZ00Ite/uvvf+5M8Q3G6JjRC9kb8fEb8QG9iyM6URuHAuU3/XT8s6B/Nk+Y0 +lAZu2rQRm1YKxMVZ0pBwHndpJl42uWyo0IZGoP92+zriQWU5zSY7GqsNYrXv +E98+vCG2z4Em86uO/3/E/jm677860whta2rMJ9Z9u1tjsSuNlKmoQxnE/Mvs +L689TKOh8ftkPPErC/dBQw9yvkj+o2HEmZdPbj7oRWN/bvYTf2J3KiQmyJvG +g8Db4u7Ear/iBpJ9ST2Cl1vYEs9oX99U6k8jV6XH15C46XTRpccBNJgCXec3 +EtuONW38eZ5GayqshYhXrXkRLR5KY0FEnDSX9BfHpb9fPZyGvUTHq0Hi813c +qCMxNDzl3s2UEe8U4e0PjaPxj3ycZyrxoj0i6pmJNORpFuMccX6TSt+LFBoG +OnZaBsTeP7Q2jKaT898y2atAvGWLUSRvFo29SdmWfMRPSlzWb/2LxtCc8mKK +PF9TaSnhf5XScM3vOatB7P586/G5Cho23elXhYh7eQdsnO7TyFzldeg9eX6b +/NasEasj9ZBkKUcRJ5lWP45pp6En+Nr2v+d/3kXHCtZTGkuf31JJIA56MJdh +8JJGhffAA3tiVwWTYz+7SD3UFn7nkPmiPtcj7DdCI8tKcuFPMo8KNIK5z9g0 +MtZdzGoglji+enDtGA2W6vWhC8S/ezzLR6bIeewjEv8h8+3V3Vkr+znS38Z0 +IJPMP78jK9K3S3IQMW5z9ByZn8ysR6FZ0hy4hDXaKRHv7zzs+V2GAzog+kdn +KgX9Hf/TvqfIQTfV765ILCKp926NBgfaw073G8h8rnh2UHbhXg7aO4Y0ysh8 +V+DlFTpmzYHYcLyfMXGG9q3ptn0caLCtXAeukH4u+sQIc+bg0tUeJwFiy7Aw +j69eHPTcKW7aQ/bH5835Jf2RHBSbe6mnXaYQY/b3O+UYDrZ7Xp5YQbz6CP+i +wDgOOueue+XFkO+nHfMTSeaAX90op/ASmQ/fN2ka5XIw70rnt7wocr8bGI1l +tRwci/FxdrpI6t/N/fSjnoOZZOvfz8j+y55Ukt3dxIFvgoibHvFTmfiIkTYO +1li+OShF9qVKuO0uib85YPBmbWsNJv1ozHp9cZKDrN0ZpwbJPg5zWc778jMH +gw/VJ7YRSwTt1pDmchDsmCGfQfa3yZ3StOof5HxZKW1mZL8XLQh0Gp8/ihPH +w0aK/Ek/veJn2cqP4n2i+fFVJC8MOSh/V9o/in9zho2lDpH+enzYTNdpFJI3 +jnxydiX3UzM3z/LgKEzFxC7kkHzSvER891n3UQx1dJisOkj6/QlvZoffKHIE +za+LOJH8ov1+m8/lUYS4lMk1kTzElkgLvfdwFCsPqV40NSHzIvr1m7aGUfwR +9K/1Inmq+6uwcn/TKI4VRnRdMqLw+FXEK97Hozh08UNNkyGZJzEnZfe9GcXp +Xq91a/RJXvxuxvg2Porysg/VNSTffezhFdBbOYYiTSd5obVk36F78trqMXyN +i3rwieTBjSW3u8fkx5B+dv7PN4oUAkPMizJUxkj+G0vNUCD9q5Bu9FVrDHs9 +2QuWrib5yF8lssR6DHynV3xrJflUR9jqj2TMGIZa68I2kvx6ST/nx8z0GG5t +7zUW62Ug9tdZfrGZMXyfZ7T4UTcD8Y37lmyeHYPafuW7R7sYSNZdqOT7awyn +SnUuVnUykLM12JpeMA4J3lErw+cMVKs73ulRGEfPde8KpRYGmKvF7WvsxpGy +Nk9XtIQB/T8J984+HIc148KV02cZ8Mj/xhfTMA7OKZ+Wd2cYSDA85JDWNI5+ +2e1vDQMZ6IvS+H2vbRwf28/cW3SKgQChfvOPneN4qDBPNN2bgWJR5dGD4+O4 +Z3E01t+FgWWKLTI7pT/iMz1naLuTAdp0Jn5RyEckfdqX3iLEgHToSvNd1hOo +vTChHRvSAt8FmS9NJSax35Kea3zZDKvwLq3pyUkIR4sdPezWBEsrDze3B59Q +z85PVaIboXfHt4J5fgoze1ULRS0bUDuuxVxg9Rkhj6c25vvWYR21bnJOeBri +H1Zs84mrxSN+KecnQdNYF5+Xkrf/AToSqP7s4Wnwp4kOlwpVgdl0vd7W6AuU +n+8ylqLuwcjLQsSl4gsSa5/x2dmUoapBrdV82VcYCs1En9K9g2y7J3FGgV+h +ti9y/h3BAnS472y9MvQVqWma4ccdMiEgM+bSaMhF6dPTu/csjocIV3j7WSMu +eizTIkpux0Hi6QZpDRMuxrgqh+cQB5UzAb13TLlwV9dTCT4dC7OXvy1Trbio +uet5obc3BldDlxt4u3DhH0F7SeZGYcXQTgWp81wohcbf70AwFKqP8nQFc6Gz +tu72npPnoRofO3QlhAubofeelXnnsH3rq2y+cC6olXtCtH4FwTXJSexzDHGK +nb1oXQAK9f3529O4MJWN1TZx9EaZeCozPIOLviRHvfXVx1D98UGLXiYXt/7+ +7sFc4oX2jH9DKm9wMX5zZ1Jj+xGMTcV8yyngIslTcNbewxnTbSVdDkVcZB2k +P6xc4YAf2S8ql93mIuFKbXHEy30Q3r3ML7aEi9dHDpgf8DaDmIyWhVEpF/bz +Tl4c6zTCKq6D6u8yLmrlBCT8fHWh+DRYqK6Ci2MlZjYyJ1Wx4a9cTsA9Lvkf +GpHexNij/3/tATNw + "]]}, + Annotation[#, "Charting`Private`Tag$29038#1"]& ]}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{13.82142857142857, 0.375}, {4.095234920676575, + 1.3998132040947269`}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.2305793067707176`}, {0., 0.14547125270927383`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {142.99702201301864, -85.22951890625112}, + ImageScaled[{0.5, 0.5}], {267.9800319073819, 162.34194077381164}], + InsetBox[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwV13k4VN8bAPCxZCtLkkQisrUQsoS8SkWpyJJsWQpFSSQqZCdF9mxFWUKy +ZJu5fOdIEpFEiUIozMwdYzKWVv3ub/6Z5/M885w5577nXe4Wj0vWntwkEukM +F4n0/++pxKv8sOxoTPr/Z01lyxkPqXTvFn0gFR7yERX0ol61yS3WbDEH0lDu +eJVAHHXU4D3akGQNJFrb54KubOo/C6enki2ngLSwhz9MoJSq4DKZux4/DSSV +sU05urVUhabdB4SSPIDkm2IS3EWm1sEP7FaxJ5Cy+1UujLVSD3Q2awq2nIMI +GbFXLgId1A9WN8sSBnyB9DBpbcpkN9VreL+cAO4HrexdhyJ131H/7OLpNuW6 +TKy3wf7TwHvqgcWzcTxJAUB6c3fOumuIeofSse+F1BUw4QtqYUiOUj+Eqf6N +Kg4Ck//qaq3GxqlefMxA7pYQMLGcGdotME2ten1Mo83sOrglqJvs/UKjLidX +MyIHbkBEVZah7SROTdgQ6M6Fh4O/qljwSd3vVNpFn2Q3wwjom/ouvPxznrrG +SuaCCVckjG+J83wwsEC1kwhTISVFwS7zOAqp6wf1+tLOVePW0dDX9caj+dsv +6oOhsUkkFQMRg+HKoZJ/qdP5Jg9uFseC/MNrD/nHSChYiXf9v+YEGD/9Ta2Z +nw/l8zfMj0XegnEjm11VF/lRK92zj2qWCG7KxwOKxgSQQNWr2+EDt6E1i6ae +MbEa5ere5l5hJEOZlnDkS521CEkZjY/W3IWaPBvNDglxFBC2NHbaMAUECh9e +M/spjrJcH7cYc6WCPP1LXHe/BBpTFAxZuZMGfxjnfT6+kkLsjAkv1lwa5K/J +q//UvxFx82F2Y9bpIC+5Y8HlqzRSpvloU6UyQEAq9udXCVl0qbKHFVacCfpt +u18tjsgjkk6K59/mbHC+oBZCX6WMHGXMX4FKDlx4bTkT0KGM6rhIalFpOYB5 +1XXoJqogr95LTL7zuTCYbpd4UUYN9XhbBopJ5sOu67GkzLM7UHauSKSifwGc +irdGI52aaD6iY9LzcwFQivfuZu/XQqXaoGCrWAjn+EP0Cqla6N/G5eis5EKo +kZgnf8C00bNpLzMZz4dQ6zplmdmhg6QiDvVuFS+CsDTtRKftBuhgoMK/l2ZF +MHPLcEETGaAArxUN77AisDMYlS62NUTdRxtTy2lFUH9lzVmnGCMUvlHZTh0V +A5eIvrnEsjH69mzViN6FUhAyZs/3SexHtVPt9CMd5dDgfM7FecIMTavrWpz+ +UQ5nhj3+2hibI+mQx5WXt1XAA4EGjZU8cxQllHgpO7kCfpS3bPdxOIysNSwX +p04+Ae6O5MKCkSNoIWSYFDlTCSKdZgev8R5HMnzLt514awAYxVYfLlijxopq +I0/ZGpi8miwcUGqNrCzPzfrp1oCWWEWc97g1iskePh51rgYyukdznO1sEHNb +y9rynhpIVHGh+JnaohbLyHtLGbVwuEjhovquk8glZ3VRqlIdnLFrfrBk4Ygk +LLWzZY3rwFAgcrvZXUfUw+uUVH6yDmrzM1yY/Y7IyL8i+Hl8HYQYFObtdnJC +m8wOH/1Or4PXwgVfmy85o08LcYtWVfVQe0m8urDsNDppxW0uptcINbuLxd9U +uiMRvm178y0boesVTRIbcEcdzSe0VM81gixTVvTdL3eko/Jwk0lOI8gZ5vaG +HvZAEivw/dLvRtja+kmjm+aBBp6E5b5FTXCwZ32hicZZZMX/k5lsToEHIXKl +Vz97IcfcoXCNMxRwDkoOdVrtjc7uJIv1hVHgkkHUrsuG3ijYJnj32joKePJf +26yR740eFCzeSJfF4E+qbMqC6zmE680LZc9jsOu7felD9nkUdw5XfZjfAuro +TbSH7kXU3DV6to6N4OzO9L0aagHoG09MfAdvKyhKDFFVDwYgXCHHWXttK1Az +GUu67gHoh9sLPuFtrdD2nCcqNScArRvd4NTq1AoyUpefG68OROYfWnlUUCvk +SBe8Dp4PRHUvxe0WYp/Dy4Gxfuu+IJRQ2ricvO4FXFXt0JPtuob8xH8N2F/u +gJKoUi675ki05pGc8XnUBVttOiKDtscj+bTc2vvve8Dop19l5cAdpJ8lMKYl +2QfLlo/Igp2pKC+d5V1W8g4+/+GZvLUrEw0/eqm/f+cAcAXmrnNvy0Y68dIf +lAbfg6darHHsaD7qkZFeyvUYhE0pGhLbAgpRZOy9SQexIZi5NB4bTX6E1nLx +Se5tHIYiw+2iRwVK0MgOud5a+Ax7mgTVrxs/Ri93Np7wZ4yAV3mODru6HNHH +lh1aQ8ZAdPXbboeVJyjz2WfJnRLj4P2seOZ2RBUqWtHeuoY2DiNUWR/j6zXo +7aMJTt3TCXige+ZRZV4tuqV5vJwUMwlF25snRN8+Q+5SYlskj34Flq4AK2Gq +DqkkHGnZK/YN9tR9btrKrEehk6Z7haa+gexr7c+PfjUgVkZaRMGTKdhfLps3 +Nd2I5jQLy4ejpmH6qC462t+ExuyVl5ROzsC/u0n3Tz8ko8GX7kcMHGagUJfK +rVVMRr3a9x8cd54BdcU1czyPyQiJSpgFe8xAR5q7Y1ElGRW+4sru9JuBFoX7 +5/uayMhdb3SPb/wMbDx5++PkGzL6JpkRVkOega/ZfA7ffpAR4wPXKkMZGpx4 +7rxO5wgF3YH3zNTNNHAegGfDRylIo7z0PW0LDfxV9p0NtaSgK6EWxVmqNNAr +N1pptqWgFYVM03kdGrB3eM8rulLQWn/VqHIrGlQPTstmBVKQvpDlvw1xNHBb +Mkr7m0tBnwK3zPjdosFW5ydsj/sUFDbK6X15hwZpi+vMOgooqK0m+0FgOg0O +R14YiiumIAv7yb1vC2ngvegZNPeUgk4XB4XGNdNAbnvtsEsrBcUa5/9cYNNA +rc/RpvwrBSX8DeZdt0ADnyhx6uMpCkpssRHVXKaBaPyMRfEMBaUYrFa6+JcG +nG/yvfdwCsrXvW41JUgHgT/WDuc4FFSvfurxBwU60GyrWFXcGJrcLGHXaEsH +d9Mq7TdyGJoanXN9b08HWyn3suQtGKLld/vMO9Lhnc0XteOKGGJJR0eou9Oh +RTjA6pUyhn5Kzj8pvUgH/3wnqUc7MSQm2sd9L44OzwOil34YYMj43+2aYDId +LBSEV6nYYuhs4SJPXDMdfDN8tz60w9Dtfa72GVQ67G2JPb7RHkND0VorNe10 +MGGbtfI4YihQYNiC0UeHC0rh/M9dMVS2VnnGmU4HJ73AlBEfDIlvbZXdL82A +jp7b9LSbGNJ/qXbZSpYBRq6/NryJwJCrV3r7aXkGOF/9brgqCkOVZV6+N5QZ +QM14534pBkNmO4Up9VoM2GXxQnz7LQyF6jraqlgwIGx35RVII56H+ULimlAG +fHevT/34CEONUwuXXW4ygK4fJP+tCENxUYunqqIYcGj1rDqrGEOqLUvKVrcY +8Kk+99WvUgxd0PjZlp7FACx8U99iBYbm16/8kq5lwPvITTcDnmHoxbOVCd96 +BtR3aBWdrMNQhuW/zpYmBiiu8dijX48h3Vuke6epxH78i8icBgxd+8Ot/aib +AQnRHxkWFAyRvvL7qk0zQFNJyTUCYejdTQHr63QG3DqVZGzYiqFHmwT3dDMZ +cGfSN4pD2PSkEP9FDnEessJu5zZi/11rimpIOJylZqqIvMSQvZdwIhcvDkXr +3orXE1blEblszY9Dd/8TJ/sODL02EoUFYRyE3kxxZ73CkHDN2s96MjhsTb56 +l9OFobGj4m0Jm3EQ2z5tGfMaQ1V08fLhLThUWyh5i3djyEpRIviGKg4JY4+z +lHuI82ZJrkM6ODizP0yo92LIU3vDL9E9OBz1GTapIKzbt2HCzQgHjZyPcwpv +MfRRcGM1tykO6y86GKzpw5B0mIzFISscHO/Fn6e+w5DFJSW70zY4tKp9uyLb +T8TTXcP16kkcHBR9Fa8T/nLQNLDUmfi/NE3vHQPEfdU/FkZ1xUG8RPh3JOH9 +2+zjBz1wKHQ4pvGBcLGIbx7feRy+du26euU9hgZJQSWbL+AwKHY5vpUwPye8 +WvcSDopix3WFPmDI52PaC68gYn3dDT5ZhDUKMbwjEof9hVck0wYx5JbWvjgW +g0OIvhpXN+G0mN5/S/HEfi2Z0VwfMbRwbnKdSjIOp8mDx70JKzsxZSEVh2Nn +cjOzCNsfW1Kxz8AhyqTk8gvCmKaQUXwuDhK7uqbXD2EIV5Q4VHAfB56k8HBD +wpskN1s1FRLr1daVnSZ8XEDV8W0RDsz/Gs/eJHzzl+bZmVIiPu8+1N4nXMM0 +9PtXjgNL0PUuhfDk2MGQDU9x0Ikq/NNPeN07yyiNGhy8bWk/6IQPvHC4Y1aH +Azk7JnqFcFDDmSzXRhwoni/yxIYxVPr4YmEwBQenvnkTecJDOcEVd1tw+Iu7 +BewkLHgnsv4xItZ77aShT9gg/DYVteEwdEMz2ITwBf/Mzo8vcVgluuvwIcL3 +PQr65zpxUE8tKT5MuNe2fIS/BwdRkfGEI4T/HaqblnuLw9LdnYvmhHft+Y+t +149Du9wI7QBhj+2vfll+wIHTvueMMeF02Xe854ZwuB+bcUaHcLvoZ5GIzzhE +eBnQ1QgvcU1JZY/hwOt7jSNDWGWBpVAzgcOhzILI1YRPTf/Y0fkNB7npX2k/ +iPPfGuLWG5/BYbPLsPJXwtjrNft+MHDI+ZFg1E2Y2SJpIcbC4VmD/UANYdlq +eTvV78TzSUlnpP8/Pg+3uZosEPGKToy8Qjgifff5U8uEExLvWf8/HsHmYQl/ +caLfj+7lJyzhYx1fSGLCvrqenlHiPhx0dk4l8zChr+LPx1rCZSb+JTRBJlhr +27tZEx7Wul5NEmYS87HsyGbCQkoxFCkxJrQNO7+jEffxomD2G3NJJowrhSkF +ETZf1vct2siErUEyelqEt04NC6xsYoL5w5xjTOJ+j7TKHKhTZELE5opYe8Lk +qpYJYRUm8NZfLREgnJ7vcvPcNia4Vd/raCTy5UhIASaryQRnOwtBIcLKXian +QnYzId5ISq2ayDcu24nFfj0mVHNXHTpBmKyhqJlgzITovLLgO0T+Ks+UPp63 +YILwhED2GJH/3B/MDh6zZML6MoskX8KjbbTJx9ZMOCptcm2RqBcZD7ZtdnFg +gr/jM00SYe6TVRmvvJjwuYSx+jtRf8ZMLbUUfJjQqUy/70mYosl+G3qRCV9/ +R8p9JOqVv7DWaq0rxH7YS7M1RD0ba2+IzI9kAo/spgLoJOL77KTccgwT6h1k +MvOIephZuNxyIoEJa6PvBy4Q9fJo6J4ffHeZsH/mwXQ+UU8x7f/8LuczoWN1 +++1Oov5mPWp3OtTEhKt6gmsSWzAUkOL5sxBjwrGIIbn6ZgwdC+e79/s/JnSR +/gh/xjDE62jeX9POhC2r64PkiPofsLbHXKafCbjsBscooj9YRgzosJlMyHmm +UFP9FEOJL8KW1rKZEM7oKiBXYqiDT7VJm8OERLuiduoToj8nheoH/2SC1Irg +k7ZyDKnnKhmurJqFQNfAwbISDInUB5uskZsFUUl5PlY+Eb/lLVzqCrPg6+gw +35VH9A+DnueWSrMwoG0gUJSLoZVWedP07bOwWU2s6mg2MS+86ToorT8LOrwj +b8LSiXydkbFQPTELI1mXWk4S/VZoe8fqI7azMH8/l8mbgKFDfv49vvaz8Hrp +q0FNHIaoC+3Hql1m4W3cnPpKNNFPuPysdH1mIXq62S04HEPJMq12B6JnwV2Z +engsgMgfy7Nubg2z8ODadeVrDsTvr+SfDyDPQlfWTc1+Yr4QyX0fENM8C9YS +W91VT2LozbcDsWXPZ8GmMWN7jzURr+tKFew3s7C1e4PjdwsMHS6Z5kRMz4K5 +zavY2r1Evft9Lv7hBhZE8lxw4CXmpWL5hyl10izI0txRRpIl4nNoOOelLAsM +5EdX/ZIm+nvK4Uq6IgsCtJ3xr5JEf1He9k5zFwvo90YsMkQwZHICl24zZwFX +vnO3118KMnx8sWryGgu6vrQL9A5R0IFOIwu9MBY8D3X7pztIQcfpq2m3I1jg +u9rfK3+AQtSzii068Szw+xwS5dxLzIPV0xnxGSz4mL7uU+0LYh5tcr2xo5oF +l0bTDtUQ8+W1zhPmV7+xwLZii+hSOAVF0eWnXs+wILfX4zx+g5iPhdiRcjgL +cKs0qdEQCio8mtzc+Z0FFReOBTQEUFBn32t1mX8syPHb8XuPFwVJDZuub904 +B0c2n3uUSszTTXSdSUHLOehaVDELkqQgBTeRR0rWc+BjXZamsY5Yf3DafZ/d +HCwfsM+YFqUgtxf3JkKc5kDM/lrTEUEKErr/c3zGew4sQxzP47/J6LTVf19e +RsxBVhz/eNI4GfE2HRiNfDYHJ7PWG1sT7wdqbWrMP0JssDqd+Lt2GxntvjGx +vnINGyq5NogaKZOR8e4ccBJhg95VHvG2LWRkXSqQTlnLhvx9NyafS5FRaOLM +nqtSbPjSdzYzhY94/7AuiZ9TYgN5SO/m+YkmFPhVXnHShA3dbgsHeTKa0H+8 +Uo6vrrIh0674SwmzEX2qkizzC2FDQwmpxHimES2dWr+0/joborY9PTww0YjU +n4qnnQ1jw0XBZzvZg43ogZ3wa64YNsz63Dn8o7URRZRyGxilsuF1DHnjvoxG +tN98dmPtEzZIpB46V63XiDpvtw3njrNhivn82LvLDWiSeg+zNv0Ob2Hfg/X9 +dcjU+6iIS9V3CLxjN7KnsxbVNW9/YSE+D3mOh/X/6VajXNtXt0yvzMMfIeW9 +ghcqUKfH/hdJY/PwbHNMIjWvGK2Spbm07ONA8r4VffGd95EIR8go2JQD4zZj +sUUL+Uiya6e01kEOhLa5q8m25CPVoMDBx+YcCOD94911JB8debNyPN2SA0t6 +JhdXeeehu2HrTXxcOJBiI0ATyMtBG8f2K0hd48CL28y9qt8zkUK9J2ngOgfc +Ay/7Uxsy0bbEhLGkUA5kbODPNrqeiYx0e3N5IjhQ9tERY3NnotPJDuvm4jjg +lxm1rLcuAxUZ+/N2ZHDAubK3HjTSUKVE+mREFgccT0T32cynonpGQ6thNgci +Gs/XWjakoo6s36G1eRxo+EZvXDFIRTRW3GL+Iw5ka1aF7TmYgtjt5QP2xRzw +7528dJs/Bf3M7akVL+XAlbfb5RLT7yIhM3G/hHIOUEm298byktE6WZ2jpk84 +wC60aEdyyWgTx37bSiUH5MOf7PYvSkJbu64LUKo4cITv1uScchLaWXB/OrCG +A7Qjsp3GFXfQ/wAjNqer + "]]}, + Annotation[#, "Charting`Private`Tag$29084#1"]& ]}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{18.281728316326532`, 0.37500000000005684`}, { + 4.095234920676575, 1.3998132040947269`}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.2305793067707176`}, {-0.10487809983902018`, 0.}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {431.22121591150494, -85.22951890625112}, + ImageScaled[{0.5, 0.5}], {272.4403316522799, 162.34194077381164}]}, {}}, + + ImageSize->{ + UpTo[540], + UpTo[167]}, + PlotRange->{{0, 576.4483877969726}, {-170.45903781250223`, 0}}, + PlotRangePadding->{6, 5}]], "Output", + CellChangeTimes->{ + 3.826008397009801*^9, 3.826008507422884*^9, 3.826008595888225*^9, + 3.826008841294518*^9, {3.826009294082121*^9, 3.82600931820925*^9}, + 3.8260094317201977`*^9}, + CellLabel-> + "Out[299]=",ExpressionUUID->"aeb5446a-db30-4b37-a075-fd0875fea03f"] +}, Open ]], + +Cell[BoxData[{ + RowBox[{ + RowBox[{"h7", "=", + RowBox[{"h", "[", "6", "]"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"F7", "=", + RowBox[{"RF", "[", "4", "]"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"eq7", "=", + RowBox[{ + RowBox[{"eq", "[", + RowBox[{"4", ",", "h7"}], "]"}], "[", "8", "]"}]}], ";"}]}], "Input", + CellChangeTimes->{ + 3.817563268660089*^9, {3.817563829122241*^9, 3.817563846550528*^9}, { + 3.817563950998456*^9, 3.817563956525237*^9}, {3.8175645239988813`*^9, + 3.817564534320574*^9}, {3.81756485534698*^9, 3.817564862343175*^9}, { + 3.817564919676697*^9, 3.8175649235785027`*^9}, {3.817565106996109*^9, + 3.8175651474217367`*^9}, {3.8175652415905113`*^9, 3.817565250029232*^9}, { + 3.8175657444559927`*^9, 3.8175657689660788`*^9}, 3.8175669120549498`*^9, { + 3.8175677716518087`*^9, 3.817567773706285*^9}, {3.817579700926876*^9, + 3.817579701354711*^9}, {3.8175810533593073`*^9, 3.817581114447541*^9}, { + 3.817581149854197*^9, 3.8175811499220247`*^9}, {3.817581265163169*^9, + 3.81758126542041*^9}, {3.81758144220247*^9, 3.8175814490334673`*^9}, { + 3.8175815152710047`*^9, 3.817581521148234*^9}, {3.817581635837187*^9, + 3.817581700879589*^9}, {3.817581767691791*^9, 3.817581768673394*^9}, { + 3.8175821842992363`*^9, 3.8175821844066353`*^9}, {3.817582286431714*^9, + 3.817582297101211*^9}, {3.817582488847374*^9, 3.817582488974349*^9}, { + 3.817582803954041*^9, 3.817582804222094*^9}, {3.817618756754203*^9, + 3.817618757439868*^9}, {3.81761900296082*^9, 3.817619003035212*^9}, { + 3.8176203963382673`*^9, 3.817620396528458*^9}, {3.817626242723531*^9, + 3.817626282042306*^9}, {3.817627870666265*^9, 3.817627904779098*^9}, { + 3.817629704809123*^9, 3.8176297360288*^9}, {3.818229759701996*^9, + 3.81822980267845*^9}, 3.825758726252138*^9, {3.826007884715208*^9, + 3.826007887211458*^9}, {3.826008571401293*^9, 3.826008579185329*^9}, { + 3.826008613577992*^9, 3.826008639890254*^9}, {3.826008725532415*^9, + 3.826008766732915*^9}, {3.826008867270997*^9, 3.826008886791129*^9}, { + 3.826008934528173*^9, 3.82600893500001*^9}, {3.826009331423201*^9, + 3.8260093457351437`*^9}, {3.826009510138618*^9, 3.8260095273227654`*^9}}, + CellLabel-> + "In[305]:=",ExpressionUUID->"6dd58649-2ccd-4fad-b61e-e6b84d8dc37c"], Cell[CellGroupData[{ Cell[BoxData[ - RowBox[{"ListPlot", "[", - RowBox[{"\[Chi]\[Xi]2", ",", - RowBox[{"Joined", "\[Rule]", "True"}]}], "]"}]], "Input", - CellChangeTimes->{{3.8176326022950163`*^9, 3.8176326467232037`*^9}, { - 3.817632683971553*^9, 3.817632789027328*^9}, {3.81763283674572*^9, - 3.8176328368685007`*^9}, {3.817632877796402*^9, 3.817632918098442*^9}, { - 3.8176329487995663`*^9, 3.8176329657972403`*^9}, {3.817633013987247*^9, - 3.817633015478447*^9}, {3.817633052086051*^9, 3.81763311811401*^9}, { - 3.817637857064962*^9, 3.81763799340449*^9}, {3.817638044949687*^9, - 3.817638084808195*^9}, {3.817638153127841*^9, 3.817638168358132*^9}, { - 3.817638399473373*^9, 3.817638412536726*^9}, {3.81763844666143*^9, - 3.8176384666464853`*^9}, {3.817638593096958*^9, 3.817638600437099*^9}, { - 3.817638794437633*^9, 3.817638799137588*^9}, {3.817638894386457*^9, - 3.817638959881351*^9}, {3.81763900605718*^9, 3.817639007860661*^9}, - 3.8176391897006083`*^9, {3.817639366190852*^9, 3.817639373670949*^9}, { - 3.817639408490509*^9, 3.817639409929799*^9}, {3.817639455026854*^9, - 3.817639465324203*^9}, {3.817640238475677*^9, 3.8176402389305267`*^9}, { - 3.817640391548546*^9, 3.817640391871228*^9}, {3.8176672347145987`*^9, - 3.817667293531107*^9}, {3.817667331524941*^9, 3.817667335774218*^9}, { - 3.8177182801379957`*^9, 3.8177182902808867`*^9}, {3.8182296949258347`*^9, - 3.818229707461006*^9}}, + RowBox[{"sol7", "=", + RowBox[{"FindRoot", "[", + RowBox[{"eq7", ",", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"\[Theta]c", ",", + RowBox[{"\[Theta]c", "/.", "sol6"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"A", ",", + RowBox[{"A", "/.", "sol6"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "0", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "0", "]"}], "/.", "sol6"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"FC", "[", "0", "]"}], ",", + RowBox[{ + RowBox[{"FC", "[", "0", "]"}], "/.", "sol6"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"FC", "[", "1", "]"}], ",", + RowBox[{ + RowBox[{"FC", "[", "1", "]"}], "/.", "sol6"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"FC", "[", "2", "]"}], ",", + RowBox[{ + RowBox[{"FC", "[", "2", "]"}], "/.", "sol6"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "1", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "1", "]"}], "/.", "sol6"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "2", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "2", "]"}], "/.", "sol6"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "3", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "3", "]"}], "/.", "sol6"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "4", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "4", "]"}], "/.", "sol6"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"FC", "[", "3", "]"}], ",", + RowBox[{ + RowBox[{"FC", "[", "3", "]"}], "/.", "sol6"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "5", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "5", "]"}], "/.", "sol6"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "6", "]"}], ",", + RowBox[{"0.01", " ", + RowBox[{"RandomReal", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"-", "1"}], ",", "1"}], "}"}], "]"}]}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"FC", "[", "4", "]"}], ",", + RowBox[{"0.01", " ", + RowBox[{"RandomReal", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"-", "1"}], ",", "1"}], "}"}], "]"}]}]}], "}"}]}], "}"}], + ",", + RowBox[{"MaxIterations", "\[Rule]", "50000"}]}], "]"}]}]], "Input", + CellChangeTimes->{{3.8175612726329412`*^9, 3.81756128486736*^9}, { + 3.8175614038617268`*^9, 3.817561415404965*^9}, {3.817561511096093*^9, + 3.817561563944231*^9}, {3.81756250196518*^9, 3.817562507914916*^9}, { + 3.817562967760625*^9, 3.81756298304041*^9}, 3.817563161460335*^9, { + 3.817563206558021*^9, 3.81756320676147*^9}, {3.817563530710863*^9, + 3.817563550054001*^9}, {3.817563775700533*^9, 3.817563804069632*^9}, { + 3.817563971222761*^9, 3.817564086350409*^9}, {3.817564155680212*^9, + 3.8175641623358994`*^9}, {3.81756424029494*^9, 3.817564240399859*^9}, { + 3.8175645416987743`*^9, 3.817564542202907*^9}, {3.817564715061411*^9, + 3.817564723202471*^9}, {3.8175648450855713`*^9, 3.817564883921851*^9}, { + 3.8175650025642157`*^9, 3.817565074155829*^9}, {3.817565217921039*^9, + 3.817565230520749*^9}, {3.817565359356901*^9, 3.8175654247402163`*^9}, { + 3.817565602697175*^9, 3.817565635407323*^9}, {3.817566059389201*^9, + 3.817566077942937*^9}, {3.817566269837482*^9, 3.817566273547044*^9}, { + 3.8175663066250553`*^9, 3.817566306784181*^9}, {3.817566684914805*^9, + 3.81756668549652*^9}, {3.817566919102108*^9, 3.817566934549343*^9}, { + 3.8175696638331223`*^9, 3.817569664744486*^9}, {3.817579706169273*^9, + 3.8175797767735577`*^9}, {3.817581067506674*^9, 3.8175810689721537`*^9}, { + 3.817581121371869*^9, 3.817581169115347*^9}, {3.817581207766066*^9, + 3.817581270669099*^9}, 3.817581309702499*^9, {3.817581355857291*^9, + 3.817581356026667*^9}, {3.817581392130506*^9, 3.817581416424316*^9}, { + 3.817581457365512*^9, 3.8175814943565397`*^9}, {3.81758152586852*^9, + 3.817581526654297*^9}, {3.8175819155874557`*^9, 3.81758195123713*^9}, { + 3.8175820720836487`*^9, 3.817582073079625*^9}, {3.817582192281794*^9, + 3.8175821927535973`*^9}, {3.8175824979646*^9, 3.817582531058486*^9}, { + 3.817582601242318*^9, 3.817582616669943*^9}, {3.817582763042087*^9, + 3.817582823261053*^9}, {3.817582997786705*^9, 3.817583024595161*^9}, { + 3.817584829987904*^9, 3.817584859074748*^9}, {3.81758494165969*^9, + 3.81758496226119*^9}, {3.81758499940244*^9, 3.8175849995669928`*^9}, { + 3.817585077390765*^9, 3.817585077573927*^9}, {3.817585156651001*^9, + 3.817585156823139*^9}, {3.817585322721836*^9, 3.817585349348461*^9}, { + 3.817585456385895*^9, 3.817585457280986*^9}, {3.817585513558703*^9, + 3.8175855137401114`*^9}, {3.817613675501788*^9, 3.817613676578967*^9}, { + 3.8176168804169617`*^9, 3.81761688926372*^9}, {3.817618774003889*^9, + 3.817618793385603*^9}, {3.8176190151288853`*^9, 3.817619038205636*^9}, + 3.8176190698677187`*^9, {3.817619141079945*^9, 3.8176191871342373`*^9}, { + 3.817619234638775*^9, 3.817619240400311*^9}, {3.817619299848545*^9, + 3.817619332922262*^9}, {3.817619399549685*^9, 3.817619401809965*^9}, { + 3.8176196502657223`*^9, 3.817619664950913*^9}, {3.817619740359915*^9, + 3.8176197551387*^9}, {3.81761980328899*^9, 3.8176198034943733`*^9}, { + 3.817620410694891*^9, 3.817620463869529*^9}, {3.817620674916114*^9, + 3.817620678055534*^9}, {3.817620745057685*^9, 3.817620761178657*^9}, { + 3.817626286376536*^9, 3.8176263645243196`*^9}, {3.817627920512431*^9, + 3.817627961648692*^9}, {3.8176289379929667`*^9, 3.8176289382553997`*^9}, { + 3.817628977854362*^9, 3.817628981182324*^9}, 3.81762904026398*^9, { + 3.817629751676261*^9, 3.8176297825415983`*^9}, {3.818229743661914*^9, + 3.8182297488938627`*^9}, {3.8182298139507504`*^9, 3.818229816310824*^9}, + 3.818229853009067*^9, {3.826007900867858*^9, 3.8260079401484003`*^9}, { + 3.826008127440681*^9, 3.826008150233103*^9}, {3.8260082971323853`*^9, + 3.8260082972439747`*^9}, {3.826008404190578*^9, 3.826008404238015*^9}, { + 3.826008585010708*^9, 3.826008594433675*^9}, {3.826008644130653*^9, + 3.8260087820215483`*^9}, {3.826008892431964*^9, 3.826008975209036*^9}, { + 3.826009256518217*^9, 3.826009259453992*^9}, {3.826009349375922*^9, + 3.826009406408629*^9}, {3.826009530443097*^9, 3.826009643269166*^9}, { + 3.826009700231398*^9, 3.826009706726335*^9}}, CellLabel-> - "In[241]:=",ExpressionUUID->"0c28b27c-3e81-49ce-9293-512f19f95aeb"], + "In[325]:=",ExpressionUUID->"47d19cd0-5c7e-4d2e-8522-f7af9f76b03d"], Cell[BoxData[ - GraphicsBox[{{}, {{}, {}, - {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.009166666666666668], - AbsoluteThickness[1.6], LineBox[CompressedData[" -1:eJwVxXc8FXzDB2BElFVWGd2koSi3keoufH8JUUgaKBKSURIVIhJCTlZ2kYys -YxznWKlklJWZLaTIjAhlped9/7g+11YLBwMrFiYmpur/8/9vjFvW071ZQwJl -zT5OxY6rCk2Wq4sGZhLflh1R1mfWQjXSvO0eI4ZwvXtObUsXgmES9+FK6iNy -Znd1K3ehJA55idh4VnuT1DHj+ZlYGYg7M6b9g91IJGExVJ9TwL4l/+/ZH26S -lAM7w1KqD2L/ph+nQrOuE4OVzy/cAIgvVcrwu9mQsAP7V9Okj0KvbnRX/R9L -4t+aEfaO+Rhc6s5/PJd8iexW+OAQK3kCR+8Mz5VImJCJdv+bPwJPIndvdluw -kBFRjaAlWIgZwNGc+WT3pzOEs6tlVDLyDJbX6WZcVjYgJZvo1AFZQ4iFeZbc -4dcnUu9NPrSOGoO6XWfsZJAOkfZ8VnakwgTxloeOrvpqExkdnxb3EjN0cfw7 -+HVak/z+gcbrNub4wmEa2VmiTth/C/+0YrGEY+z9oYoWNaL7fqSqO/My1Gav -y2vsOkJmCrotfc2vIDv6z73H1iCJd5R2bdtpA5vMaGNapzKJ3rd41XnBFgwu -zu4D4YfI0prjh490XUXwe+Yp1pCDpORyq4j2e3u4RtFcp8v3kxf/PGs9+9YB -0lI8A1e2KxFfRnTS5sEbGBJV0d9EUyQceh7PWr87YmNvgGqBmQJZOi2bUbHi -BH4p1mfVsvLk5piKZQPfLbxgm7/hLSxH3CzLFXtlb6NAYi5Q/z9Z0nDQ4nCX -vjMm3EyfDNrtIXoa+VpUVxc0Fw9Zz1VIE5n2tAakukJ8N8X0ospu4v97rt2r -+w7y+DHn3yFFDAssVo353ME1unBel7KT7JhuvlakfxenfU91TxntICbyP2oe -RHjAbt8WRRaV7aQ5IUiJ3ucJO+5ItytK28iGkcM7BIW8YBev0fcfkSTsj63Y -p956IbKZyttyYSvRVe1fPH/tPpgutHPT/CRI698B69Oi3li/6D/Bfk+cuHZw -TjbWeyPr3bnow+v/IXGsJ06/9/IB9dFBlt4sMdL0aixU9oAvNm/OVGW2EiXd -le+qWKZ9oaB+cn5WToQYbI9TPUR9gLqNS3QpXmGSLX3ftsHGD18N7ZaUVjcR -fruL/fm7/FGWpL3SvSJEPodHG42N+6PAsKn3+zohUoW3hZa5AaCGejhZbBck -scOXFsWcH8LoI+Oa5gkBcsm37wgPAvHdI6j1pQc/OXvLuEVuPQUityvapkv4 -yAONEnbPTgqO3RVvlWPhIxFGDIsfqY9gs/lVbqPBRlKnPHDX0zUIpjHGGnuz -NpDDHRNcO3SC8XYNhfc19wZSY1c51Ls1BPntP39MTPKQ1dq26YTFEHgMaQeW -NXITdjuqaL5tKEpfD+vwv+EiZT0NE9GdoXC5y5vPV8xJ+EQKfV01w1A2/fzj -Sul6wlKpxHO6MAxOV4/ObmlZRxLCyl9tl3oMiQ5B06ZJDqLOI1M/HvMYdSnv -DjgLcJD770wfJnGG44z4A4q3Ojt5XS+upX0vHD4C/cbXPdaSv+7t1r2z4Sg1 -Cqh/XcpGRrm1DIxtI8Djz+a6yM5GAkQc3N98joDG3bbcIiNWIlusbL7WMBJB -Z+3Gw2hryBbJaxT5pkjwTOoq7uZdQ3wqDCjKWlFw/zqYsf0WC6E8YCxvr4jC -3PFkTvnPzGTcIMJrVDkasUMhWkz6zEQ5VrDatzgai3O/JLSrmIhRy4kHv/fF -wFU94EPVESZi3S/ipkqPQYbKsoaj718UqvDbG8rFYslMoaAyeBVrJvRlSW4s -2v9mOfIl/cHQ+IWoX7JP8Kvjdu7MmxXM2a33c819ghPnfdqWvywjxeLycKXc -U0SPdXO1cC9jNCcgvYP+FLO820aEjizB5HH4+xylOIz/XlxwcV/Eaqif6vGX -cYjdSwKTXy/gZLy8WJpKPIyf9mvqsi5gIWCLQ2VFPLKqrX7tMfgNI5rLyXit -Z5h6x/3f6otfEOpY7VVoegad80naXn/nQd09o+p9LgHGtJ+Vty/OA/bLyQ/7 -E6By38ohpWIO9FiBxGTF59B2u8DdLjOHdOGrVBPX53A7t1GmNXYWRqf1+R3e -PMedQyW/rnHN4pVhzmo3SyKeImzTTZ+fYLvEGh2nlYhvtakBxasz2HPffF1h -cCL+uik683nOYKDHzG9HeyLo/2GLEfMMOo9KqI2LJqFyrUO2RcA0Ouw1b62x -TILeruY93PzTyPGZN7yRmYRAu/kSG7UfYKg0yMj9TMLRMy3a9lZTcLYfkVc7 -lIxe2cqxkeBJ/Fxtz33hnYxy4VdXn5Z+h7Zj4pTxh2ToRAdY6c5N4El59aGL -Aing6vrMWfXvBPobDw/lmaZAUKOYp/nGOPzkrVTPpKVgQabH5WDRGBIpEs/V -Z1Jwo+oWpZFlDFo6ZZbeh18gpDYm0/L0KAR+cI9w+b3Awm3nAx/SR0Cnn6AM -Nr9AXQxx72EZgVnt/gI2sVQcOxYTZGM+DGb29Q1O1qkw+ddaRe/dNzRx3leV -ZqRC5syGZSuZbyib+uQq8zcV5TUDlZSoITTYDU7dPpGGUxlUnni2IRSHTgqt -i0nDmfWeL11dB6HPNGg3NJSGgVWjhdWpr/iWqW7DrpCOtcJf1DfafoXJDoVQ -x3vpYJqf1Xs8/AUMyg1ryYZ0NN4WnLKy/oKHvxydhUUz0GmUxu84MQDFMFPt -c7YZMGL0v4l1GkCQ+uYbXUUZ0Pfr7Aha/AxOHj3PhLWZ+CfqsXg5/2doLrlz -Us9morbVYEOCYj8kGpboSymZ2M83uXXZqA/95usFgucysRNvXTJ9ehFZ0ddy -WZ2K7/JN9T6MT9Bekx7uGUGFuNuAudloD/qHMlg/DVEx9tnpu5BkDxZOkLY7 -SlkI2Bfn9+BSN4YfzRac98uC+TQtwT+5C/JJ/uYenVko+ZY7uTTeiVZN7vAv -u7IhynPFrHR/J9J559b7u2VDfCfhpft14LXPlmD7+mzcv1W2v6inHaxqM98i -/slBVk6IJE2hHac1nQZWbuTgooeElFdwG1LPntV/UZkD4bS+SM6pVpxN2Mwd -LJSLnxaf6AdOtWIpQ2y20DYXefWs1PGijzCJLR0Uf5OL292lgZySH0GbeGlx -mYOG5oilfd4hLShLni03UqAhoIF2/gBTCxqZuDjsTWi4SS13ErjVDONeZblE -Pxr2rr1ymb2jCb63KAfnaTQIrYSuG6hthJd9z1bbTzRUsn7lDKxsQE3jyo8V -tjwILa6b66uohz9nXQZNLg+DU0khBdUf4LlT0dj3Qh5Mj3YNTbTUYYXJmNPV -Lw/SyrE7Tb/UwnM0uZmSl4ee0yczhudrsPNO7+u3vXk4WLKx6wpvDaTHNEb4 -OegI7Top/WZvNdg7XtoFKNJBEZwUrtOvglTOe6stZnTM6dcIO7i+B3tL7dLH -QDq4pjIeBae8g5mfiH5GIR1X3cJfc7ZXYmZWMvT5VzpcDK59rFtXiafbA8eK -eRjoaV3bSFOrQJL5+ZCfhxgwWLrjmXyvHNVz0i91rRlotfvg9rCsDKohOsl1 -4Qz82T8scpytDFX+C8G2ZQzY+xV8efK0FI92+lRITzIQOFvju6D4Bg6aYQ95 -RPIhue0ym1frKxwNOKUkeCwfac09MWxuJSh2eimGW/n4u4Gp+KLUSwjVVsU9 -SswHs+42AYtPRXj04P3m1cZ8PJtyfzQSWYi4T0+WwlfyUdW3uq3mXAGUigQZ -etIFEBaI/d23JR/5uholskYF6Oqr28c6QceARkfIPr8CiPskbNhUmgdFOZdX -l/IL4HT+T+lsFA21rBoNjK8FaGqLaJsez4GQH7kou7EQvfOV5zgYWbhzt2FD -CwrBKpe7ZupBJthHlMPirhci1IMj1tIyHXYWllFh8YV4zVfgu+dEKpL3qXyl -1RdCp+JPB7dKCpizE9WWlwvBnHFEqfFgEoKq2B87yhQhvmJHg5Lqc2RqXCwW -uFAEWTXXULEncRBnWqJ+CyzC3bbDXhp1MXA/G+/0raQIws+Hre5xRYI/Ik5S -cKIIUVJ101aXwsAZt23otmgxMj/Xf5KlUCDDnPSTQ6cYWiaMK7YuvihcsXzW -dLcY9v/uVvBd544trWZ6H7KLUbJX/ODGOjsEDal5/+kvxv8A7N8JkQ== - - "]]}}, {{}, {}}}, - AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], - Axes->{True, True}, - AxesLabel->{None, None}, - AxesOrigin->{0, 0}, - DisplayFunction->Identity, - Frame->{{False, False}, {False, False}}, - FrameLabel->{{None, None}, {None, None}}, - FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, - GridLines->{None, None}, - GridLinesStyle->Directive[ - GrayLevel[0.5, 0.4]], - Method->{ - "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, - "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ - Identity[ - Part[#, 1]], - Identity[ - Part[#, 2]]}& ), "CopiedValueFunction" -> ({ - Identity[ - Part[#, 1]], - Identity[ - Part[#, 2]]}& )}}, - PlotRange->{{0, 33.21001948227897}, {0, 0.09715256147582547}}, - PlotRangeClipping->True, - PlotRangePadding->{{ - Scaled[0.02], - Scaled[0.02]}, { - Scaled[0.02], - Scaled[0.05]}}, - Ticks->{Automatic, Automatic}]], "Output", - CellChangeTimes->{{3.817637498101*^9, 3.817637523899531*^9}, - 3.8176379865886707`*^9, {3.817638080223015*^9, 3.817638097089458*^9}, { - 3.817638411035137*^9, 3.817638418380022*^9}, {3.817638453141902*^9, - 3.817638469864127*^9}, 3.817638603759224*^9, 3.817638801668243*^9, { - 3.817638950488543*^9, 3.8176389801125393`*^9}, 3.817639384560536*^9, { - 3.8176394648201838`*^9, 3.817639475564313*^9}, {3.817640221335127*^9, - 3.817640248053196*^9}, 3.817640401002247*^9, {3.81766728274492*^9, - 3.817667297661644*^9}, 3.8176673405798473`*^9, 3.817718316939249*^9, - 3.818229637085619*^9, {3.818229702780876*^9, 3.8182297078089457`*^9}, - 3.825762991626536*^9}, + RowBox[{"{", + RowBox[{ + RowBox[{"\[Theta]c", "\[Rule]", "1.1839725220641732`"}], ",", + RowBox[{"A", "\[Rule]", + RowBox[{"-", "2.8552724405922408`*^-6"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "0.25354311953004544`"}], ",", + RowBox[{ + RowBox[{"FC", "[", "0", "]"}], "\[Rule]", + RowBox[{"-", "0.03742386277198694`"}]}], ",", + RowBox[{ + RowBox[{"FC", "[", "1", "]"}], "\[Rule]", + RowBox[{"-", "0.050274369756879086`"}]}], ",", + RowBox[{ + RowBox[{"FC", "[", "2", "]"}], "\[Rule]", "0.03246834725680504`"}], ",", + RowBox[{ + RowBox[{"gC", "[", "1", "]"}], "\[Rule]", + RowBox[{"-", "0.023975662078226753`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "2", "]"}], "\[Rule]", + RowBox[{"-", "0.03858827239240696`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "3", "]"}], "\[Rule]", "0.01125639598067069`"}], ",", + RowBox[{ + RowBox[{"gC", "[", "4", "]"}], "\[Rule]", + RowBox[{"-", "0.005357481523453846`"}]}], ",", + RowBox[{ + RowBox[{"FC", "[", "3", "]"}], "\[Rule]", + RowBox[{"-", "0.0005984076696687108`"}]}], ",", + RowBox[{ + RowBox[{"gC", "[", "5", "]"}], "\[Rule]", "0.0011395604423330467`"}], ",", + RowBox[{ + RowBox[{"gC", "[", "6", "]"}], "\[Rule]", + RowBox[{"-", "0.00009522333221342283`"}]}], ",", + RowBox[{ + RowBox[{"FC", "[", "4", "]"}], "\[Rule]", + RowBox[{"-", "0.0002943378071679513`"}]}]}], "}"}]], "Output", + CellChangeTimes->{ + 3.817582243098262*^9, {3.817582385638481*^9, 3.817582397851478*^9}, { + 3.817582440404005*^9, 3.8175824479120073`*^9}, {3.8175825951659813`*^9, + 3.817582624284917*^9}, {3.817582771007656*^9, 3.817582790104224*^9}, { + 3.81758295912363*^9, 3.8175829694259653`*^9}, {3.817583027875955*^9, + 3.817583190779282*^9}, 3.817584063702273*^9, 3.817584867935519*^9, { + 3.8175849339417667`*^9, 3.817584980641724*^9}, 3.817585038615395*^9, + 3.817585139927609*^9, 3.8175851869224243`*^9, 3.817585430610086*^9, + 3.817585477765168*^9, 3.8175855203843403`*^9, 3.8175855792410593`*^9, + 3.817613703655264*^9, {3.817613820666153*^9, 3.817613850447565*^9}, + 3.817613970041641*^9, {3.817616894358282*^9, 3.817616938169628*^9}, + 3.817618971174425*^9, 3.8176190263238583`*^9, {3.817619068552326*^9, + 3.817619077160112*^9}, {3.81761912964554*^9, 3.817619175572*^9}, + 3.8176192081695538`*^9, {3.817619251398644*^9, 3.8176192611467113`*^9}, { + 3.817619296755875*^9, 3.8176193494538918`*^9}, {3.817619385600893*^9, + 3.817619417396243*^9}, 3.817619473822008*^9, 3.817619517658676*^9, { + 3.817619647045698*^9, 3.817619702143152*^9}, {3.817619744218728*^9, + 3.81761983514673*^9}, {3.8176206689279957`*^9, 3.817620689262381*^9}, { + 3.817620739706464*^9, 3.817620790926754*^9}, 3.8176208714846783`*^9, + 3.817626520486795*^9, 3.817627350228532*^9, 3.8176277415834227`*^9, + 3.817628956472193*^9, 3.817629002825632*^9, 3.817629056020689*^9, + 3.818233161500917*^9, 3.8257607803594303`*^9, 3.825761120850746*^9, + 3.8257632795319233`*^9, 3.825764106769557*^9, {3.826007923264882*^9, + 3.826008038405919*^9}, {3.826008123160612*^9, 3.826008165509284*^9}, + 3.8260082910872498`*^9, 3.826008330378909*^9, 3.826008492624241*^9, + 3.826008594737713*^9, {3.82600870352409*^9, 3.826008812118639*^9}, { + 3.826008936050972*^9, 3.8260090205065403`*^9}, {3.8260092507911787`*^9, + 3.826009292248102*^9}, {3.8260093981014147`*^9, 3.826009410209749*^9}, { + 3.8260095943047953`*^9, 3.826009633928136*^9}, {3.826009693966002*^9, + 3.826009738629236*^9}, {3.826009769178308*^9, 3.826009840808998*^9}}, CellLabel-> - "Out[241]=",ExpressionUUID->"a225487e-1b09-4625-b1b4-0393225de258"] + "Out[325]=",ExpressionUUID->"e4c2258c-d675-43b1-8eb8-1a175227c843"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"GraphicsRow", "[", + RowBox[{"{", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{"h7", "[", "\[Theta]", "]"}], "/.", "sol7"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol7"}]}], "}"}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"F7", "[", "\[Theta]", "]"}], "/.", + RowBox[{"B", "\[Rule]", + RowBox[{"ruleB", "[", "h7", "]"}]}]}], "/.", "sol7"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol7"}]}], "}"}]}], "]"}]}], + "\[IndentingNewLine]", "}"}], "]"}]], "Input", + CellChangeTimes->{{3.8175672854849167`*^9, 3.8175673108365*^9}, { + 3.817567343605356*^9, 3.817567515945986*^9}, {3.817567689779602*^9, + 3.8175677001061993`*^9}, {3.817567852209393*^9, 3.8175678553653107`*^9}, { + 3.817569677608418*^9, 3.8175696880410147`*^9}, {3.817581502775428*^9, + 3.817581583359663*^9}, {3.817582250277421*^9, 3.817582268443882*^9}, { + 3.8176137509420633`*^9, 3.817613772032806*^9}, {3.817616947220008*^9, + 3.817616967115974*^9}, {3.8176195353257837`*^9, 3.817619546043696*^9}, { + 3.817627764775979*^9, 3.8176278238158283`*^9}, {3.818229824671139*^9, + 3.818229831606958*^9}, {3.818233166561644*^9, 3.81823316664911*^9}, + 3.8182444139503117`*^9, {3.826008373734087*^9, 3.826008396493952*^9}, { + 3.826008816966032*^9, 3.826008840830307*^9}, {3.826009299311204*^9, + 3.826009316127002*^9}, {3.826009419360985*^9, 3.826009431216947*^9}, { + 3.826009848857473*^9, 3.8260098663291883`*^9}}, + CellLabel-> + "In[328]:=",ExpressionUUID->"e5291fe9-0a5c-4396-ac44-47a5f71d5568"], + +Cell[BoxData[ + GraphicsBox[{{}, {InsetBox[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwV1nk8lU0bB3AJLV5KSRFKq0qLLUqPH1JSKaIVIZEtS2SLUkiWkCSPaC8S +EtnuO0uWHiEhawrnnPtwyn6SaH3HX+fz/cw9Z2aumbmuUTjhdsBOUEBAYMY0 +AYGp39u6F5VqR49qa4W63h3Yv1U7LbnENa5OA9oyZuL9yxbh0XbFyON1BnjY +M2cwb5kiViy0/Fe/7jA+l5y7+e8yTXCCfO5q1J2CVs3wkZBlu1CRJ7RCuc4H +15+kOVkuOwJV41ru+rowHPu8vqBdwQHOKVk7lepuwq7Uz65xiS+OpjrX2dal +Yeby+eKKMuHY8fvK2UHnHKQdEDxbkhSH5Lwhxsm0ECefLl8QE5iIW0t+nBei +SyA0mjEa8PY23Lf3Of57rBz/DSev6TK6D97+h09KblZBv3Oy9f3JRyh54NRR +WVWNuH1uj/ZapEHT+4b9guJarDJdNeufOU8RpjB/ltdYPST9trYM9Gai+JF/ +SPSPBmS2nEnv0cqG3XH3AFPPJrAczfU1zjyHT/CcC0v+1wz30j+Z1IscdPZZ +Z8eGt0CwuapH7X0unhSaD8xc3YZzeVLZBRMvsHq9+d3Rl+3QNCh2shLJx/ee +/wVf0PiAFf1XY7eO5EN5moO7ZFMnXsf5KLl1FKDY+mzUPpNPuGj3rLLpdiFy +lZRyY0a6cOHHBoVTlkVQqv+atlS/B8FdMhdL/xYh4kn0IWmDHixMlbEZnEaB +F7JGaN7uHji+nNspLUThoZaV1XRj8r3c+C3XmRRkn9Qs6DXvAf19+54ZEhRE +Q+5deurZgz/9v5S+KVD4smW/xeYHPdgTbXPqlR6FtEfpc/YKsvDqvaHSnCAK +3e+P1YYIs/By1b7fMy9RkBIUDSueyUJB9a1F00IoBB93/rNhDguJs8eVBsIo +HF+oNCghy4K5YXdlZgwFyfDMmjZ1FoIKAzy7blMIcskOtXVkYfut+q6vNIWC +JGvdZBcWVHNl3POLKQxVz/3d7MaC8dxePZ9SCuYrPbx2erPQdp779Gs5hc1d +yrZrglmwF/ge3PaGwsD+XJ3hZBYiFaXn7mmjcFQ1/6d/AwtHfjkVdY9QEH9d +MS3wPQvz3N9+3M+nUHmkccaFVhYkTa94lnylsOH8wPzgjyz8KFD6kTBOQejN +MqVIHgtiCpr26r8oZB+PsbglwIZv3uvw1TNoiEQ4FNOb2Dg1MRHSvZjGS1nv +imJVNl7HBqTLydHweBb8pnQzGwtkU7Ydk6fxsfl2S8U2NoZ0WY/ql9J4vqRl +sHYXGzcdsi4/XEnDIk9X/qM1G3W7jU2FNtLI7ZG58CuWDe5346dxOjSyAxbZ +D19nI9djsjxRl0bGIikjdgKZj2yWcYoejcfGEourk9kotD/39p4+jaSyGQXX +09jIjzlpkLiLRtDdsaG1ZWzMrLkxT8uYRuA2fotcBRt/paO8FE1o+LcPv5z7 +mo311+IMJQ/Q8JzbHzFeS+bLm7e3z5SGfRBrVXkbaZcqyvQ/TGOvdf3xo8Ns +sBUjqEPHaRj+qt2xl89GdJGfxjorGjsT3yjhGxt6nMgVf4jRUPljxU82Zjw8 +vu+ODQ0VHTphRISDgrhnnfUnaSxamlYfJs+BimXJC7YTDW73Re18Iw5me6Ur +fDxLg6qPV/1szMFND5Efkd40YotTFWXNOOjMkfy2xYfGtltv5106xsF0TbsD +sb404g5J9xmd4mD/w9QHq87R0H6bHcMN4sA3NtRt8gINyZcVIYtCOJBae/dI +ZBCNz+mtfnvCOGga77defJFG/JVfts+vcmD/fUu9+iUa/dt3aQYmcXBjY9oC +sxAaiVR3j+QLDuD9afXmKzRcn/BbDAo48Mnb9+UJ8fZE4Vp/ioOr5ZerF4fT +GDq7Lq+njIPRNs+2SeIdyj7hGW85cBWz3XInkobM0ojz3Q0cLN68rnl6FI0R +8RTPec1kvbli4fbEyQPllr4fOGhXNtJZdZUGP1VcRb+PjCc50BUdTaM6QWG1 +zxcOMqVe6jPEKaFqsumDHKQwf8s1Ymjssj0mMneMg+OnJGZ2EN+Rf/yhU4DB +oaHHWULXaHiJFb0TF2LwINKqaTfx7l+1lbozGHw+0/+/GOLxjtGsVDEGTZlZ +VRJxZP9v/BPsKcNAXWa7jsB1Gnd5meVucgz6nkb5qxKPackLuixlIFvhOcuO +OIX9J+jkKgZm6mdXVBDz1d3KrNcw2CT9T/Yw8c7w7r8WSgyOxP+OkYkn8dpY +dv6gCoN6lcrdzsR6wZtKTNQZvPX2XXmNOKH17m8jTQYR1y+a5hEj8GLATm0G +D52G0yaI4xtGaT1dBgldgg0Lb9DgLT/xU1ufQcjtakN14tgaPX+N3Qy+7nqj +5kzMyOUWqRoxmB6W+yiYWNNj+eRGYwaqhVkOScRRldc1lUwZZOXHBT4jZi0U +8lU8RL5312DKiTc7exWsOMpAmeuV3EwcUcKML7VgULR2+WOGuEvi4GY5Kwb/ +OshM+0qsYld1VvoEA/MPKpl/iS8XquctsGMg/04/fXYCjQ+ij8ckHBjce6I4 +MZ94g5WUmrgzgx09+QmLiYNzLnvOdmUg8/u/UAXiduHvOSIeDHgpalUriZWO +nuILejFQ8WoxUyQOymhT/uvNYO+OYLU1xM1/DTx++jEw/iJ1cqpd0bQw+3sA +Ay1jR85U/4DHiiNfLzDg+pjmTP1/w2TixpFLDCS9sxqmxl9pNMttIJTBRU9T +bUli/7t+WbwrDJiMxT+n5l//9fMgE0nie6ZHRIB4mcGx9axoBt5rz9lMrd87 +qcbl0zUGhnurZnOJawa3ZnTEM3CxSxRsIZbXfdrfcpOBwML6XRXEZ+IXr2tK +IvGS0vk0Ff//+iKd6lMYiK2vLp3aH1mtX09q7pL5auqMTO2fe7TL59cPGPxc +d8l1an8XqRs5lD5h8P1brenU/rtcKU6lMxh0SF2hps5HWef6voJnDP7meLtO +nR/HS+L22XkMuhrNil8Ql7Scf5RRyGC33uThWOJ5a4aZNJqBw6ytcCKm3r2z +vfeKgdvRn/xFxOLLdR6kVDJo9VIuHSTn+4R3Nvvf/xj8EXVrKyMWlbtmE/eW +gVW+S78NsYXTAavgDgbtr51SYsj9Cp/bnlH6kfR/f2TIhDg/3/LHz24Grm/r +/plHPHe64w2vXgaPw6+2RZH7WXnrQq3dVwankxxHHWNpjOoKS98fZzCeF6gs +SyzPi7DvmiTrpdJc68j991VLmHZYgIvhddHdq4jXv83Q2CXGRdW71IQKkl+O +eaqEhszloi8qmLIjviJd2FQ2nwvNSPEPwsRsu4rTW2S4UMkIEtUh+SnhT8eD +tau52JcjoJocQePPxhlzxXS5uKal5Pr1Mo11rVGWhvpcyKc7ap4lPhIw72mo +ARcTl1N+joXSyKmW2/nHiAvjIG2XIZJfT9moBQwf48Kvu2q0muTfhjgbXqMX +F4N2po6y52n81uxTF/flQtFz97PAQBpru12Cd5/j4nd9Sv/HABoh63zlKy5y +sUKlYOcNkv81K6PNXkRzMdK459IgqQ/3vtFlCWlcWB6SH9DypCH1SHm44ikX +hYr7ZwadIffXLFVuNIvEI/nIunIPcv5y4/z35HHx1dM2VMedhr6Ho5pAORfc +VzahK0+T/DIglebYyUV+0dMbsfZkP5OjWhO6uPjvWYR4nh2Nxj2CwpUsst4t +M6PaSL2j0gdt5HlcrKXM4qVsSX5xqFz8foyLWoEzrQGkXm5iPGK2ifciqWnR +9C+k3j683lfsKNELUcWBvKFDNKS3Ww4kSPaiY0LPefQgDcH7uwxHZXohlDDx +cYTU62arJdMfr+7FIf/J9rb9NHw667zn6JL+3x0W7jQg57lp9XG2Zy+0lpu3 +3Fcj75HeH63t3r2Q4MmwAlTJeD/e7n/n14sDGw03HFQh8VjmpfvyQi+WJ8dH +CWyicfhM2YqESNLebXtIbx2pVxJH+w0f9ELq4BLRMwo0FEwifJ839WLrhvXW +F/9H6q2d5WhqSy9y5pe5LhelMdNvk9Pt9l7s3y/2smIWyfd3W80ju3oxSy5s +3l8REp+RZbD70otwlYYM62k0DsTSwtKCfWiSawx9941CyLuBuCDlPqhOdBmY +f6JgvLlFukCtD40n/B/d7yTv3ZTiu4MafThYKDLS10HhhVN01jHtPjycTNnj +0kqBEd5Uo7anDzFLLslYvKOwfZvntM8n+xCb6i/cXkZB8Mmkm0liH+53TY/U +uU/hwiURo2V/+9Dy2Sir4TiFGqO98ssEeTjNfj9RaEHet9JxwwrCPEQISHjc +OUYh/ZlcnIIoD2JyV7/YH6LQ/FGtbelCHnZPJgn0GFFQ1LC1WbKRh/GvvOf+ +2yg09peelbXi4ecIM26yiMLyg363pUp56NePYS7XFOHFmmfGM8p52LL0oeGM +6iLs/MMITlTycCzMezC0qghOqcanOmp4EDE8MBpYVoScydWbklt5yB/q+Xwk +vwh6t1tfKQyR8efdu03dK4J1nypXSe4ztimnLVnvU4TbfkPrtp/7DDcHic3v +ZIuwz6xQ29PgC5K6c4bu6BQidV8n75twP4avXl6fcbAA6n8PLApo7sdjudMJ +WzXy4fJuebfZjQEkjzlfjhLPw7nRcZbdgUFU5VpkSzTmovSNvJP/kiG073hz +YJpFDjJe3QlndQ3B6XrlDcXebNS7nd2wN2sYjrN/n048nQWm4HHY920j+LTl +n8zswXTkGZRu598agbCB19DjS6m4p3KpfEhwFKrFq8KC0x7AJnM0StJ2FPUX +ulaYce9AzOTE2UOvRlFnUnmlyCsRzfsDlyat5mOWV/SbRr1YuHXpL5wRxkd8 +7TXniKUXYa0buPH5FT7WtCQq1XQGwfhhnoF5BB8SmZONs28GQcVple+zq3xk +1b/5HS0WhLFvMzoOx/PhLzInete3QPiK1Sal3ePjReo6yKb7IWibifzul3wk +V45Y+0p5wP1O+OaxYj4kz3ganLzqDhvB8n23S/mY+FK076CQO/SqVS7wy/nY +ebDVPJo5DSEzyZ6kN3zEXtnh8iHZEeHObff6W/moumz/KG+ODfzr51A32vkY +75bUuvnLCk7Ku5rwgY/pgXFPuzossfd7oWD8Jz5cTB68fxV/FOLBSbbbGD4s +/DsKuaIm+MNtOtfL5cN5+lb9sfdGGN4lGh/bx4eiT4mWeawhGsQDKpkvfLSM +fFHtm6WLMo8XH6MH+Djxxl5YNnoLnjcPjGkO8eFZ7LVycKYy7musFOMM81FW +d3pT2EwFxCVZrrw6yodpeJGt5U0d7f8DrphY/g== + "]]}, + Annotation[#, "Charting`Private`Tag$33545#1"]& ]}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{13.899377993726967`, 4.194521692621379}, { + 4.215673401636138, 0.3750000000000142}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.1839725220641732`}, {0., 0.10776002437639426`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {143.19611561521083, -83.61091656308301}, + ImageScaled[{0.5, 0.5}], {268.35232900477445, 159.2588886915867}], + InsetBox[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwV13k8VO8XB/AhaytSZA2RRCHfyHaIKCJbpBRJEcqaUBoR2bdkiSwhZJtr +i9I8aJMkJKVEss3cGYbJVkq/+5t/7uv9z9xn7pzzOefKuPrYnOckkUguHCTS +/695hjeV38456pP+/xkraCnLpV5O69IEkipf8U0BJ2qJkWL8mS5TIJ0IaOcR +uE69lhvMOjBoDaSIdS8+pyZTd4iczjbucgBS662E15tyqV2phkbH0GkgzT9S +OMIsoWrz3FlUHjwL4Seut5ak1lCTjKLMa/vcgFT40vfPtQbqWPjVAs0udwjf ++fBrwaYWqhb14kLLS08Ir6n7MNLWRk1YOWV2EF2C7Z/3yCszX1J9JUrfn3Py +hdY19lsaojupYjrbQxUG/cAgXeZYaOp76gvH7B304wGw/VzTE73oPurlYKH3 +FX2BkMIVJTh07SP1eQPXDrWuq7DdxnG336Yh6uX+sO6fh0OAlE8LdK8aoYr+ +XAxufBkKJMW7ps/aRqneqvR3OigMvvPIr1thTFC3HnMNXtUhgyhfyfye3TTq +98ZLqS5O4UC6UlDpG41T4z5O6sgN3gSK3uQniVQWdcRNLvVWZgS4+fFeNdo+ +R9WYd56cOB4JlEXN9f+i2NRhocGUsr5boNhU5h17bYG6z+rthErXbUjo2P9z +auMfaswIr05yXAxcH6ox6h74Sx2+bJwyezgWrJge+55U/qPGJD7TrnsZB7ri +y/us2zjQUGdNshZKhHGTXyInGNxI7SRzPDssCTKaBV458/KiaLqi9opOMgRb +/qy6qMSHRLms2WecUsCzOWUgMmotapftzJUZTIWMaAHp98mbkLenh6mNVhpM +mwRv++kngERqedgRmWkw7Lr3PFlaEHkbGpmOH78DXkt3NolFCaGtLi1zD/vS +gS7ia2gfugV53a82Ue7KhAvUm93f1ksgVYOlujP7soBvYfmrOKckWvwBMqn3 +suBy0pfuoBVJFK7Yu7LgkQ0SJwc2Rf6WRul1PymIOwck/ebNfwnLopY3WuK2 +kAc/h8Vq15cqoJveN2OiHuaBgRp3QuLBnchkU+fC4w35wLnRTEzi+07UY3eq +R2IoH/pllaVcZXYhNot6MKClANwuhhumtOxGvNdGl3QdH4DlGWel+keqyLMr +as9AwgMwtuacHOZTQ12SSud9Wh/ASSsdHgEPNZTW6t9XuLMI2hqXbaN2qSMJ +Hq4qnsUiYFWE6D5t2odUUxVce9JKwNj4ceNRPk3kWOrVda6rDNrLa8689NJH +Dw0my1L/lIHSqc2XtH/oI/agSxRSLodOLrEDdxwBJay31xdPLAfhRKOfV+UN +UKufAaXP4hFIZKhZKEkYIgXdLemG7ytAYI1gyaiUEWL3UE9J91WD//0fdcEh +pgg8D2hZcNbA6IG4zxPtpihhTb3wNfUaICek6r1YfxjJ7y9/N5BWA3UldbX9 +hYdR5bs30q93UaBOUrjKqPcIGlGvT72BU2BHxb1xu0NH0aG/MVemvWohPCzD +YUObFVJIN/GKj6wFvuKncwsMK8S3m+vsrpxaKLnpkissYo06T5CPnu+sha9h +bVvnL1kjq/orct8U6yCOpXRYR8oGnfRy7e2aqIPvflN9UzG2yHdQR6XSuQH2 +ej4/+yDaHtn4/pI1u9oAl/RvUk2a7NE+3seitKQGsLzMbN2O26NFDXWuHdQG +QNwXyq5YOqBrKYpfcyQaof23ce6DbSdQtOmW2PjBRiC53/3G/cQR5TbMjHva +NoE65b8dn2RPI+Mxe3P+S02QGOjmMed8GjEFEFYa3QSVptK6ZvdPI13v5Bvj +zU1wLMIs7LHoGTQkqyp6ZnszuM4/6SMLOSOJFD9z6+lmyDz+K2E0xgXles5j +mrefgrEj19OgfFeUI/37BtdTKlRnfOM+tMsdaflZaE33UaG+WQWtHnVHA+0F +cx9xKigVpQp98HVHAhdM3UrFEFD/9Vx/2+SOblWmHzELReAf57R55YgHaswV +Wdsh0QofZ3eM2fhdRPm7avs3DLXCGq0vfr0fvJCv0dTF7JPtsGV+/YG6AF9E +O1ZcTs18Ce5xHPlZxUGIWuQ5+OJlB9Tkpds754YhraC7F7Y8ewu/pKvVbvpE +oNsym/kD57thR9e5YZ4X0ehZSeitpN894FxjZL+wMx6dP+N73TagD163SCQG +Pk9GVyM3kaXX9wPjYTvP7dg09HXKhZIS+xG0Xn9KK5W/i8qbTjH5dn6CbebU +nWZiWWinyqmCuZbPMGwcobJGMgctfV8fSdb8Agztqg4BUh5S4/DwFe77Ch07 +SelK2QXomcuVBEvrb+AV0fFtv8QDVKesXJc8OwxyeU7dm9uLkHL3z7Ltxt+h +84vnBRfnElRW8mjTUc5R2LzI9vk79BA57mtcCe0ZhQ+rR7/3+Jehuu9i5D8p +PyDZryeg50c5mhi5qd9oMQYbzwu++qdXgY7e1YsMEBsHC1abW0JRJXLytHGO +HByHzYFaNglfq1DhwtPWjLIJ6A7bovxKsAZR+3ae+REwCX4ywdofBCgIm/w9 +8DloEs58iv1WKURBxb/fHXsfMgn5r/aSo4QpKE420LCFPAkllmdb9olSkIN/ +646M+EloMA8RvCVNQbOCjowjRZOwvv88+qlCQTLWccFY3ySs8ZidXWdGQbfe +M9PC1abA3UzmCzeZgqz2f9z2WGMKhmkxjc/CKUji/rOCac0paOIMMgyMoKB6 +z6Tqk/pTMDcV5fItioLGuVU7NcynIF2Noy4/gYKMdAM46G5TIKmaID+eTUGc +5b98rLOmIGnyiKxHHQV1b/qxeDtnCgzwgIr5egq6F9QZRs2bAtM8yx5yIwWp +G+fE7y6ZAtWRp3hqMwWdHdEt5a6dAvW2VesSREGtW8KHm99OwXh60IWYtxRE +juCxkP03BZ+dHOJ0flBQp8VRKVlOGkzvCxWPHKMg4W1pLBluGlQKdpx/M05B +j2ok02TW0SAr8I+czRQF9Q9pfNouQoOZ2ksH7JgUpKh57qz0XhokjFSdFluk +oF4GuiLhTANT+wv7K/gwJPGY21TClQZ3URHpDT+GLkSYi0qcp0EgZ2/gxFoM +/RH99ETciwYnVoQdxTZgSMFk5p/YVRrIm/xaEyiIodACibhtyTR4uGYleHIb +huSOh+RtRTT41+WV/GIXhup31VjxttPAJfYyA1PCkMnqOOfyCxpcmlWevb8b +Q56lVu6DnTSQnd7C9lPBUO2vnaq5AzQ4G6z0ll8NQwfzBtpkZojzUbh8ljUx +1O+/PlBojgbZ1bdkerSI85oeVFgzTwNOr7IrDw9gKG62Km78Fw3G1LZyHNPB +UO/BKNtSbjqsN1LKStbHkMvUvgllSTqoSJq5dRtjiP30YqbkdjrcPrnmT/Ih +DN1KyT+yUY4OdC+rPVYmGCo7sK6apUiHEIMxly5TDM3G/wiq1aBD+c57c3Vm +GCKrpvJpHaWDp+7IGbDCUF7IzG6ja3RQkHVwMD6JIf7CA8yAG3SgLQbOjhMO +7LhVWXyTDjCypz/yFIaOiIir8MTQgXFJL6TFCUPz9aZ73qTTQSx8v9I2ZwyZ +zRaoHqumg9E5uwryOQw1iDBnyRgdfMIyK7jcMLQdNDFKPR2qZzKnbxNeSHyn +JvSUDobuORqx5zFUsPu3+sfXdFjnro2C3DG0eMH2v1OjdOiqJpv/9cTQ2aS8 +hfhxOkhqh8hf8MJQVwO9oWWKDlK2rlrvCBdyhe+XmqGDzX99PBneGDr6oFJz +9DcdmPwD+4UuY+jxm6UlwVU6UHqWO7wJy84dbDrIgUODdEXyS8JLMKhVzIsD +szW5yc8HQw++cWu7C+MAJiIX630xtIHb+nemCA5tfwNSSH4YClbOfdIhhkO3 +MDfNjLDFNXUdJRkcUs2y5L8QbnoQtnJyBw6zKbfWSvsT9+vseBq/Ewe36BBJ +V8LLos660yo4qGI2b38QPmfw6I+kGg6i9TLntwdgqNt9ocVSA4dLHO+VnAgX +NcbrUbRxuL96T7ObsKVdk36AKQ5/X38xzQ3EkNZ3lyOXzHDoKOkU7yAs481v +526BQ53HdTs24fnIkxdP2eIQpXeBbXgFQ982rQk8bo+D7huqvTvhVzkVN445 +4oCriEnFE86u+3PHyBmHIFXx/neEI6AkT88VB7ue0TYmYe+3FuWa53E4ZjEt +sDYIQ8cdFuvUPHDItO1ulSesP5ZH3e2FQ3vBll4grOhj+kb+Mg6sNXaGJwgL +rrA+SPvh8PK0mKAP4XEhQ/rmqzhE9kS8yyTcnUf/uSEUh5NrTJvLCT9WSlvl +DcOB7vKJ8wnhgkZtfs5wHKZlX5Z3EI47OLb5TwQOB+4WVn0kHNAdL7UYhcOT +LasbRgk7ndTYNRuDQ7awdydO2GRyaB8ej4OFcNgPNuG9/lH640k4lJe3H/9F +WHRV5chwKg6/r3XLrRLmjBuw/ZyOw5ZD6kc5rmKIsYV8pi8TB79ecjcn4f7C +nRe77uGgTjry6P+mqvQEvLqPg/lz6RES4dLm4ButBTgkSmd4/yW+L+WQTOyT +IhwalfVtlgmH9r65U/8Qh/Qtj5LnCLud9s+rLseBT9R7B52wBV2svKwSB5Wo +rQIjhPdfeV73oAYH5zYdmw+Et3N4U3NrcThufBl/SZg/UfhNRgNRv9kGnxsJ +s0WffUhpwuH1mUPiDwkPFZ8fjnuKg47ppro7hF+qbqTfouKQIaqWTyZc3dL4 +80YbDvcq9UYuEs467Lwa/AKH0dnX/jaEb/bz8ge8xmFh0tXxAGFPF8rmS504 +eBcXpkkRtmOekHJ/h8OMjYgUJ2G9YI5dZ3twcFB1WBkj6kcgxUb/+AAOz/sj +yh8Q/i2+cvjYINEPYXdDyITHSotsjwwR9SDSmn2ScCOa99D7gUPnq4qOdYQL +zO8HaE7gwOWaPjBK1Hfsp0M31Gg4jKyMqTcSdmJl3JGfwaFXku+jI2GTa5An +PUfU4wcusV2E9/LSyrbNE//XeFPFItFPnNIHqBt+4/DKMasugXCp5VfaAjcD +xPb4Hykm+tNTJZtDlZ8B1IMSGS6Eldc7iHmuZ4DAHYMRMcKUN33mw0IMWK0Z +cIv9f/8bd1a/kmbA7o0OeyyJ/AiVi3lNkmNAv/Pssd9EvuhymnzXVmBAUv6L +i8WE21CbYI0yA2JSSbfYRB51ajcHZh5ggMTrf0ZBlzCUsO1qYq8uAwb/KxcV +Imy5rPFwnQEDgqTsRyuIvPvQQPlENmHACZ7Co4NEHg6plml72DLAaNnqujiR +nzMKmaQDlxjgeVbjre4F4rzcx7cF+DLgfcnZwsdE/vqPC6lXBRDeqntOlfBS +YdI5mVAGhCVPlYoTeU2SjH7Ff5sBHuxyhcGzGBLafCXhSwED5oQGo1nEPOif +Uy8RLmbA/lX5L4cJZ/TMPrMsZUDzOaZAATE/xJO8We1VDCgu/KZwmJgvO/jd +bCqeMGBJVnbyhgOG/vtnI3q9nwE6GqqG0dYYCjp4+Rr5E3F+/194JzGvGqNi +hyO+MIBXMKhxA2Gt9a3Fsd8Z0NJOpyRaEs9zm4paJpMBLOo5xavmxDzex2tW +y8WENTHmr1nE/IwMkq1q4GVC00Dfqa2EXzTrCTSvZULp7dx1OkZEfRgEDiAB +JszxOj+9YUjMO4tR13cSTBDZS7Zi6WHIyv3pNZoGE5bF4pYD92Mo9dHAMEOT +CXe8ywTD/sNQ3/ScIUubCSdDHkOkBlH/gYp8iwZMSOgSGYxVx5DDzbvpayyY +YPtpeYG8B0NncnyqpM4zYTr7ws1NCkSevpcbsbvLhENppnubNxN5Lb5X7kgW +E65GTkOsEIaue2i76+UwYatfr7cDsc8kcliz5AuZEE3Ft81sJPp1341/i5VM +8F5OesxF7EOzmZ+ls18woXfFu3bgHwUFuiS6fPvJhA2a0rrrcAr6U5lV3LvI +hBch/op5NGIf/VVEe/mLCWRhToW9xH52N+2Jb/U/JixGk23Nif2t8cVUOHnd +NDgt5Vz2HqagZcWDhTJy01DGL37Kuo+Crs0tjp63mYaJo/zPi5ooaChFROPe +8WnIG6JMfCD2S31VrejuE9OgZsJo4GigIJJPiJKm8zQEb7x+2h4j7s9c8efz +nobPub3PxsopKGGKxFURNQ355YqeSfco6P63tQqzTdPQh5nWbw+lIPRGyjNU +egY0l23pcuoUlPculydYdgbuj2vFTuyloBu9YkVX5GdAvD50Ywmxf+sPbh3y +3T0Di/FLryV3UVALbaOlu+YM2OptZi0Q+/oT3n9qdsdmwP+9W4/BBuL3Hhr5 +pUKegTY78t+wrhpU2ZYfOzo8A+tYJO/7cjXITXSfhvSPGXC1S+PPkqxBkj6v +hp0mZuDr3+XkRJEalCQxve8zYwY0Iv7YXVxXg3yvag93L8/ADdm/NWPsaqSh +8lG9RYgFQQnrVcZaq9GzrLVDGSYssNABMr9jNer2ubLnaDULiBf1+59CqlD3 +++XmUIwFF9I0Ih75E957/VB5PQuUrRRcgr0IsyKceJ6yoNH2MS/3acI+KXGt +r1mguFlpZRSq0DufikmNURZMzAXJPuKqQpOPfd9vXDsLkRz2gn5xlWj88cPb +S7qz8FeY3t0RXYEaTJERO2cWdHsMM3u9ylGhekT7DOccCG0a/rvY9xCdrZpL +ED43B50RPnd3iRejDdauV+zb5kCca/T6+O5C1H8sbPu9nWw4dSW2t+hcDvIZ +Nhbhvc0G1TgjcoRLOnIxDNuLxbDhz9Lhlm0G6ciquMH0VBwbvpTm3y2VTkfq +ngrBNYlsyLKX2F06fAfNL/AOOqSzoVJHxWi/0x0UvOHtvbJCNkg0WRllHk9D +4brWUmYtbCDd4lO9YZiCfPNj988/Y0NUavsSSzoFneVst8xDbMhELsXYn2R0 +sEOdzG5ng+sPjjzpoGTEZSf8/d4bNqTY5VMUPJJQrNenQsYAG/QHf3nRDieg +0O5NT+5+Js6X9HdbLVcC8lQ73Adf2NDHveDj2RqPji41caZ/YwP33uj/SjXj +0cbIe+d0x9ngh4VusZGPQ6sTfdcmJ9jwYVZpLvV7LGIdXpeeMsWGXVVaza05 +sahn4/UX4zgbXn88qMYQjEWtfvVDSUw2XHmC2JNdMQjrZ85rzbDh6+ac5723 +Y9ADTfkNYyw2eGykVFYcjEFp907LJ86xId6lqzHw7230P61Nd5E= + "]]}, + Annotation[#, "Charting`Private`Tag$33591#1"]& ]}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{18.360319918924297`, 4.225988527290724}, { + 4.215673401636138, 0.3750000000000142}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.1839725220641732`}, {-0.06822221318708956, 0.}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {431.83455122556586, -83.61091656308301}, + ImageScaled[{0.5, 0.5}], {272.84473776464114, 159.2588886915867}]}, {}}, + + ImageSize->{ + UpTo[540], + UpTo[167]}, + PlotRange->{{0, 577.2768712207101}, {-167.22183312616602`, 0}}, + PlotRangePadding->{6, 5}]], "Output", + CellChangeTimes->{ + 3.826008397009801*^9, 3.826008507422884*^9, 3.826008595888225*^9, + 3.826008841294518*^9, {3.826009294082121*^9, 3.82600931820925*^9}, + 3.8260094317201977`*^9, {3.826009845996776*^9, 3.826009866844253*^9}}, + CellLabel-> + "Out[328]=",ExpressionUUID->"f761d7d5-04c8-40b2-a937-6fac9575aeda"] }, Open ]], Cell[BoxData[{ RowBox[{ - RowBox[{"h3", "=", - RowBox[{"h", "[", "5", "]"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{"h8", "=", + RowBox[{"h", "[", "7", "]"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ - RowBox[{"F3", "=", - RowBox[{"RF", "[", "2", "]"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{"F8", "=", + RowBox[{"RF", "[", "4", "]"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ - RowBox[{"eq3", "=", + RowBox[{"eq8", "=", RowBox[{ RowBox[{"eq", "[", - RowBox[{"2", ",", "h3"}], "]"}], "[", "3", "]"}]}], ";"}]}], "Input", + RowBox[{"4", ",", "h8"}], "]"}], "[", "9", "]"}]}], ";"}]}], "Input", CellChangeTimes->{ 3.817563268660089*^9, {3.817563829122241*^9, 3.817563846550528*^9}, { 3.817563950998456*^9, 3.817563956525237*^9}, {3.8175645239988813`*^9, @@ -31034,65 +38856,100 @@ Cell[BoxData[{ 3.8176203963382673`*^9, 3.817620396528458*^9}, {3.817626242723531*^9, 3.817626282042306*^9}, {3.817627870666265*^9, 3.817627904779098*^9}, { 3.817629704809123*^9, 3.8176297360288*^9}, {3.818229759701996*^9, - 3.81822980267845*^9}, 3.825758726252138*^9}, + 3.81822980267845*^9}, 3.825758726252138*^9, {3.826007884715208*^9, + 3.826007887211458*^9}, {3.826008571401293*^9, 3.826008579185329*^9}, { + 3.826008613577992*^9, 3.826008639890254*^9}, {3.826008725532415*^9, + 3.826008766732915*^9}, {3.826008867270997*^9, 3.826008886791129*^9}, { + 3.826008934528173*^9, 3.82600893500001*^9}, {3.826009331423201*^9, + 3.8260093457351437`*^9}, {3.826009510138618*^9, 3.8260095273227654`*^9}, { + 3.82600991943439*^9, 3.8260099395464363`*^9}}, CellLabel-> - "In[469]:=",ExpressionUUID->"78606265-f50f-49dc-888d-33550f059b83"], + "In[353]:=",ExpressionUUID->"034d75ed-4e94-4dfa-b0b5-fb25cd2d30d3"], Cell[CellGroupData[{ Cell[BoxData[ - RowBox[{"sol3", "=", + RowBox[{"sol8", "=", RowBox[{"FindRoot", "[", - RowBox[{ - RowBox[{"eq3", "/.", - RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], ",", + RowBox[{"eq8", ",", RowBox[{"{", RowBox[{ + RowBox[{"{", + RowBox[{"\[Theta]c", ",", + RowBox[{"\[Theta]c", "/.", "sol7"}]}], "}"}], ",", RowBox[{"{", RowBox[{"A", ",", - RowBox[{"A", "/.", "sol2"}]}], "}"}], ",", + RowBox[{"A", "/.", "sol7"}]}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{"gC", "[", "0", "]"}], ",", RowBox[{ - RowBox[{"gC", "[", "0", "]"}], "/.", "sol2"}]}], "}"}], ",", + RowBox[{"gC", "[", "0", "]"}], "/.", "sol7"}]}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{"FC", "[", "0", "]"}], ",", RowBox[{ - RowBox[{"FC", "[", "0", "]"}], "/.", "sol2"}]}], "}"}], ",", + RowBox[{"FC", "[", "0", "]"}], "/.", "sol7"}]}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{"FC", "[", "1", "]"}], ",", RowBox[{ - RowBox[{"FC", "[", "1", "]"}], "/.", "sol2"}]}], "}"}], ",", + RowBox[{"FC", "[", "1", "]"}], "/.", "sol7"}]}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{"FC", "[", "2", "]"}], ",", RowBox[{ - RowBox[{"FC", "[", "2", "]"}], "/.", "sol2"}]}], "}"}], ",", + RowBox[{"FC", "[", "2", "]"}], "/.", "sol7"}]}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{"gC", "[", "1", "]"}], ",", RowBox[{ - RowBox[{"gC", "[", "1", "]"}], "/.", "sol2"}]}], "}"}], ",", + RowBox[{"gC", "[", "1", "]"}], "/.", "sol7"}]}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{"gC", "[", "2", "]"}], ",", RowBox[{ - RowBox[{"gC", "[", "2", "]"}], "/.", "sol2"}]}], "}"}], ",", + RowBox[{"gC", "[", "2", "]"}], "/.", "sol7"}]}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{"gC", "[", "3", "]"}], ",", RowBox[{ - RowBox[{"gC", "[", "3", "]"}], "/.", "sol2"}]}], "}"}], ",", + RowBox[{"gC", "[", "3", "]"}], "/.", "sol7"}]}], "}"}], ",", RowBox[{"{", RowBox[{ - RowBox[{"gC", "[", "4", "]"}], ",", "0"}], "}"}], ",", + RowBox[{"gC", "[", "4", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "4", "]"}], "/.", "sol7"}]}], "}"}], ",", RowBox[{"{", RowBox[{ - RowBox[{"gC", "[", "5", "]"}], ",", "0"}], "}"}]}], "}"}], ",", - RowBox[{"MaxIterations", "\[Rule]", "500"}]}], "]"}]}]], "Input", + RowBox[{"FC", "[", "3", "]"}], ",", + RowBox[{ + RowBox[{"FC", "[", "3", "]"}], "/.", "sol7"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "5", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "5", "]"}], "/.", "sol7"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "6", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "6", "]"}], "/.", "sol7"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"FC", "[", "4", "]"}], ",", + RowBox[{ + RowBox[{"FC", "[", "4", "]"}], "/.", "sol7"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "7", "]"}], ",", + RowBox[{"0.01", + RowBox[{"RandomReal", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"-", "1"}], ",", "1"}], "}"}], "]"}]}]}], "}"}]}], "}"}], + ",", + RowBox[{"MaxIterations", "\[Rule]", "50000"}]}], "]"}]}]], "Input", CellChangeTimes->{{3.8175612726329412`*^9, 3.81756128486736*^9}, { 3.8175614038617268`*^9, 3.817561415404965*^9}, {3.817561511096093*^9, 3.817561563944231*^9}, {3.81756250196518*^9, 3.817562507914916*^9}, { @@ -31140,36 +38997,673 @@ Cell[BoxData[ 3.817628977854362*^9, 3.817628981182324*^9}, 3.81762904026398*^9, { 3.817629751676261*^9, 3.8176297825415983`*^9}, {3.818229743661914*^9, 3.8182297488938627`*^9}, {3.8182298139507504`*^9, 3.818229816310824*^9}, - 3.818229853009067*^9}, + 3.818229853009067*^9, {3.826007900867858*^9, 3.8260079401484003`*^9}, { + 3.826008127440681*^9, 3.826008150233103*^9}, {3.8260082971323853`*^9, + 3.8260082972439747`*^9}, {3.826008404190578*^9, 3.826008404238015*^9}, { + 3.826008585010708*^9, 3.826008594433675*^9}, {3.826008644130653*^9, + 3.8260087820215483`*^9}, {3.826008892431964*^9, 3.826008975209036*^9}, { + 3.826009256518217*^9, 3.826009259453992*^9}, {3.826009349375922*^9, + 3.826009406408629*^9}, {3.826009530443097*^9, 3.826009643269166*^9}, { + 3.826009700231398*^9, 3.826009706726335*^9}, {3.8260099423390713`*^9, + 3.826009996595956*^9}, {3.826010112863278*^9, 3.826010127358502*^9}, { + 3.826010369714923*^9, 3.826010370058804*^9}}, CellLabel-> - "In[472]:=",ExpressionUUID->"396a3ca5-637b-4194-943d-7ec379bcf47e"], + "In[363]:=",ExpressionUUID->"939e0991-1a33-48bb-8325-c6afb708b1bf"], Cell[BoxData[ RowBox[{"{", RowBox[{ - RowBox[{"A", "\[Rule]", "0.000018098167569296026`"}], ",", + RowBox[{"\[Theta]c", "\[Rule]", "1.2770723381435527`"}], ",", + RowBox[{"A", "\[Rule]", "0.0002501560877922256`"}], ",", RowBox[{ - RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "0.10239465889302198`"}], ",", + RowBox[{"gC", "[", "0", "]"}], "\[Rule]", "0.2397812549368773`"}], ",", RowBox[{ - RowBox[{"FC", "[", "0", "]"}], "\[Rule]", "0.0002025080497999256`"}], ",", + RowBox[{"FC", "[", "0", "]"}], "\[Rule]", + RowBox[{"-", "0.054578140869701815`"}]}], ",", RowBox[{ RowBox[{"FC", "[", "1", "]"}], "\[Rule]", - RowBox[{"-", "0.09888315025653512`"}]}], ",", + RowBox[{"-", "0.09901152138569407`"}]}], ",", RowBox[{ - RowBox[{"FC", "[", "2", "]"}], "\[Rule]", "0.08191587038185043`"}], ",", + RowBox[{"FC", "[", "2", "]"}], "\[Rule]", "0.019328949079947085`"}], ",", + RowBox[{ - RowBox[{"gC", "[", "1", "]"}], "\[Rule]", "0.09340929100729871`"}], ",", + RowBox[{"gC", "[", "1", "]"}], "\[Rule]", "0.12578220184879696`"}], ",", RowBox[{ RowBox[{"gC", "[", "2", "]"}], "\[Rule]", - RowBox[{"-", "0.07776053875000168`"}]}], ",", + RowBox[{"-", "0.1474871327377305`"}]}], ",", RowBox[{ - RowBox[{"gC", "[", "3", "]"}], "\[Rule]", "0.0026108984698038147`"}], ",", + RowBox[{"gC", "[", "3", "]"}], "\[Rule]", "0.18036452611312248`"}], ",", + RowBox[{ + RowBox[{"gC", "[", "4", "]"}], "\[Rule]", + RowBox[{"-", "0.11221518589536447`"}]}], ",", RowBox[{ - RowBox[{"gC", "[", "4", "]"}], "\[Rule]", "0.012674301750377637`"}], ",", + RowBox[{"FC", "[", "3", "]"}], "\[Rule]", "0.005509355207612903`"}], ",", RowBox[{ - RowBox[{"gC", "[", "5", "]"}], "\[Rule]", - RowBox[{"-", "0.003414025885744757`"}]}]}], "}"}]], "Output", + RowBox[{"gC", "[", "5", "]"}], "\[Rule]", "0.04280116738176513`"}], ",", + RowBox[{ + RowBox[{"gC", "[", "6", "]"}], "\[Rule]", + RowBox[{"-", "0.009257101181906275`"}]}], ",", + RowBox[{ + RowBox[{"FC", "[", "4", "]"}], "\[Rule]", "0.00007311894814201153`"}], + ",", + RowBox[{ + RowBox[{"gC", "[", "7", "]"}], "\[Rule]", "0.0008721637067568213`"}]}], + "}"}]], "Output", + CellChangeTimes->{ + 3.817582243098262*^9, {3.817582385638481*^9, 3.817582397851478*^9}, { + 3.817582440404005*^9, 3.8175824479120073`*^9}, {3.8175825951659813`*^9, + 3.817582624284917*^9}, {3.817582771007656*^9, 3.817582790104224*^9}, { + 3.81758295912363*^9, 3.8175829694259653`*^9}, {3.817583027875955*^9, + 3.817583190779282*^9}, 3.817584063702273*^9, 3.817584867935519*^9, { + 3.8175849339417667`*^9, 3.817584980641724*^9}, 3.817585038615395*^9, + 3.817585139927609*^9, 3.8175851869224243`*^9, 3.817585430610086*^9, + 3.817585477765168*^9, 3.8175855203843403`*^9, 3.8175855792410593`*^9, + 3.817613703655264*^9, {3.817613820666153*^9, 3.817613850447565*^9}, + 3.817613970041641*^9, {3.817616894358282*^9, 3.817616938169628*^9}, + 3.817618971174425*^9, 3.8176190263238583`*^9, {3.817619068552326*^9, + 3.817619077160112*^9}, {3.81761912964554*^9, 3.817619175572*^9}, + 3.8176192081695538`*^9, {3.817619251398644*^9, 3.8176192611467113`*^9}, { + 3.817619296755875*^9, 3.8176193494538918`*^9}, {3.817619385600893*^9, + 3.817619417396243*^9}, 3.817619473822008*^9, 3.817619517658676*^9, { + 3.817619647045698*^9, 3.817619702143152*^9}, {3.817619744218728*^9, + 3.81761983514673*^9}, {3.8176206689279957`*^9, 3.817620689262381*^9}, { + 3.817620739706464*^9, 3.817620790926754*^9}, 3.8176208714846783`*^9, + 3.817626520486795*^9, 3.817627350228532*^9, 3.8176277415834227`*^9, + 3.817628956472193*^9, 3.817629002825632*^9, 3.817629056020689*^9, + 3.818233161500917*^9, 3.8257607803594303`*^9, 3.825761120850746*^9, + 3.8257632795319233`*^9, 3.825764106769557*^9, {3.826007923264882*^9, + 3.826008038405919*^9}, {3.826008123160612*^9, 3.826008165509284*^9}, + 3.8260082910872498`*^9, 3.826008330378909*^9, 3.826008492624241*^9, + 3.826008594737713*^9, {3.82600870352409*^9, 3.826008812118639*^9}, { + 3.826008936050972*^9, 3.8260090205065403`*^9}, {3.8260092507911787`*^9, + 3.826009292248102*^9}, {3.8260093981014147`*^9, 3.826009410209749*^9}, { + 3.8260095943047953`*^9, 3.826009633928136*^9}, {3.826009693966002*^9, + 3.826009738629236*^9}, {3.826009769178308*^9, 3.826009840808998*^9}, { + 3.826009996844149*^9, 3.826010023867828*^9}, {3.8260100750706177`*^9, + 3.826010089316058*^9}, {3.8260101218293247`*^9, 3.826010127919675*^9}, { + 3.826010350308375*^9, 3.826010380830915*^9}}, + CellLabel-> + "Out[363]=",ExpressionUUID->"07c46e6f-b409-4e46-91c4-1f8deedd3b7c"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"GraphicsRow", "[", + RowBox[{"{", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{"h8", "[", "\[Theta]", "]"}], "/.", "sol8"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol8"}]}], "}"}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"F8", "[", "\[Theta]", "]"}], "/.", + RowBox[{"B", "\[Rule]", + RowBox[{"ruleB", "[", "h8", "]"}]}]}], "/.", "sol8"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol8"}]}], "}"}]}], "]"}]}], + "\[IndentingNewLine]", "}"}], "]"}]], "Input", + CellChangeTimes->{{3.8175672854849167`*^9, 3.8175673108365*^9}, { + 3.817567343605356*^9, 3.817567515945986*^9}, {3.817567689779602*^9, + 3.8175677001061993`*^9}, {3.817567852209393*^9, 3.8175678553653107`*^9}, { + 3.817569677608418*^9, 3.8175696880410147`*^9}, {3.817581502775428*^9, + 3.817581583359663*^9}, {3.817582250277421*^9, 3.817582268443882*^9}, { + 3.8176137509420633`*^9, 3.817613772032806*^9}, {3.817616947220008*^9, + 3.817616967115974*^9}, {3.8176195353257837`*^9, 3.817619546043696*^9}, { + 3.817627764775979*^9, 3.8176278238158283`*^9}, {3.818229824671139*^9, + 3.818229831606958*^9}, {3.818233166561644*^9, 3.81823316664911*^9}, + 3.8182444139503117`*^9, {3.826008373734087*^9, 3.826008396493952*^9}, { + 3.826008816966032*^9, 3.826008840830307*^9}, {3.826009299311204*^9, + 3.826009316127002*^9}, {3.826009419360985*^9, 3.826009431216947*^9}, { + 3.826009848857473*^9, 3.8260098663291883`*^9}, {3.826010394459412*^9, + 3.826010409899159*^9}}, + CellLabel-> + "In[365]:=",ExpressionUUID->"41fa3464-11f7-47db-b9f4-c04a234b3967"], + +Cell[BoxData[ + GraphicsBox[{{}, {InsetBox[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwV13k4FfsfB/AS2SpLN0sou9K1ZClF3qVUiqyh3LSQNkmLxK+EpFskWSMp +khayhojrzKmI9hKVrSznnJlzHNtxW0S/7/1rntczzzPf+S7z+bxHa9cht91i +U6ZMUZo6Zcp/V1u/WbFyv3xsT/CdW5a3Lbc90r2uM79gGcTtg9Wlr6tg8/sF +/UEFDpA5qrPtffYCrHNSpd0KtuCpZrzdw2wrrLygwF9TsA/tRqFNd7PXo/bO +TMGKgjB0Lt3ZmZ3tjZ9VcYHLC87DxbQg90L2XmTUNxdaFWTgaXyljH32CZRO +Gvek1t/Dx8UaV2bln8eSuaffUV3lWG017qYwIxkcn6Ym1RU1WHHkmLBHJwPZ +E593v0liIenHGa/02uuYLEsSyb94jO0d60tnD+XCNP2q1L4NjdC987tt3cp8 +vHiVevvww2ZMrXD3OnTyLjQCXT1C+S/RWvjOIeV/hdBUN1ndXPoGti/9S36V +F2OGpZKfl8s7mFwJXnjMsxT3v4U8q+W8x21XLfaRhjJUuUYM3b/+ATEO6glS +zg+Q5bvnuoZ1G4LOlMQMVlSAEfshr/rjI7KnVkjELq7CgMu0Z4KizwjLt+jU +u/oQz12FEljXgfMq9rfNv1ZDkYmariHWhWeO433Klo9gbvnvxbDr3WiVmGc2 +6VeLrjhpQUnxF9wq+TwxkFmHSdcW88txX9Hi6Gg5q/ofxB2Wqy/x7sG9A8nw +K63Hy47sRUpLe7EqM+XSNg8WTuZkt9dM70Nm7OWil7UsSDzaWrTxXR/0sksF ++ioUMn8ZStd/6MP7f+IsMlUpGNuO+5l96oNU8b2cGWoUvKmrqqpf+mC4/DMj +1KBQ2NgRwxnog3fnmNldHQoeLb4+UdL9WJjN3icyppA3sEuqamU/XtVPE/au +obBa88Au7eJ+iM5c1VMLomCr41CztawfyouTJFcdomClb6CYXNEP26zBeQHB +ZPw/e6lptf1YHm4wcP8IBRUrH63+Z/3QHz0nZhFKQei88cvtnn4Y+H7lqUZS +uHJ6ka+REgehT27s3HiZQnK0dOVuVQ6KJrzSvZIoJJzlzsxW5yBPtvzXrmQK +Z+Ju1s3S4WAzL3NzaCqFoHQ1jSETDnKt1K3TMsj7Fst2lDlwEPJWv7Awh4zX +xd9idYqDOObP7uWl5H3MnZsqIjko/l5AryyjsOpcmZV5DAfzVp77bl9OIcUk +TNk4joOd0ru0nSooLI+c/kEng4ND3rNvOFdTiNXScpGr4KCr6eosPYrCPH/P +tRwBB6MXBHLybyisf1hd4TfEgUUOZfov8eEZGnpfRzkQOP61qf0thScPeqd1 +/OTgWIMgIvc9hf0Sh6m3Ulx8OsQq0m2jUJkfZ1Ony8Wd3ytmf++ksIlmmaX8 +xcWlL6ErPjEUnhsXu03dwcVD5UJuJp+Md+zakSA/LkQS8Yk+Agp2v8PK1u/n +4kTzjs5PAxQs55ibTYRyURzX9lfzEAX1VbcWByRzYSF77Z/wfynwr5w3tWrm +IihvZI/yVDb2doW63HrJRV3WmqMPift0AoIV33IhF1EV4i3GRleRXYmgjYso +GdntqdPYePdk3CSnnwvf2PJasels1AwdNJGZykNu4aKgAhk2/l7vZtyxlIco +fuE3s9ls7HfetHGWNQ+Td6L77hI7eW7Yu9KWhz6rP/vm/8GGor9dbt4aHva9 +NlKTnsPGtdNmSgddeZCa47TrjRIbZZWKkxP7eXhh22dgNpeNlLpZaqZBPER+ +al2YSRz6RMZq12Ee1p72s56qxobNO7EjDaE8hJeHx78gbhwY6U+I4cFjveCL +lwYbHbrvX87P5uGR1Qy9VZps/LPoNeOaw4O7nIZUJnGO2XPJmDwekgcjvw0T +B6x8vIp3j4caw6Cf2VpsDPuUV5RU8WAhoRg3oM3G9OTka6ve8iC+XnDnLz02 +eBmXao628DC+YrVVPvHzG3Ftt9p4qF525Y2QOLHojIJMFw/N03arndJnQ635 +6Nl3DA+xvJuzEwzYMJ3qcdBPnMaFB5u3Ry1kw27Lh5zPkjTiZBevZBG7l3q2 +usrSWPY2/ucE8fGdW7BSkUasTdHPEEM2ailfBQ1NGrXtg5rei9h4pfrFPkWH +Rvk5/YaLxN2Hd4bLGtBQSyq0YxOLafv3/jAiTo9nGfzJxrrofRWt1jQyN31p +7CP2/szQTqAxFNI6X8GI7KdZ4LyndjTWbut3tCGO7wk6V+5AY+Sgqd4l4uzl +Q48MnWh0d3W+riQuTjo8lONCoz07dlMn8Tu7Y1sSvWhIXSto0Dcm5y1z7KKk +D420fVfqHYjHRo6zI3xpsHN2xh0gVrkZtujgbhoKwfsyC4gNx39u79tL491H +5c4mYmv3kyk+gTTs3KKHOcS+005POByl4am8P0HDhI1gnylm1HEaHqGeSkuJ +o8qjAqzCaZyT7wxyJs7zi3mtH0Xj4ay0xJPElY8kxLNjyPwal2y5TNw4+5zV +nL9pfN++aTiPmHl8PmfaJRrcF3UJz4h/qcm2hifR8Fl8Jvkj8cxj8TIjqTRs +0zIDuMTzXszEvgwav8/WSI4Rm+peOvoliyb9MeP4VFM2Vp2Uv+N1g0ZJ+UDZ +DGK3lssdr27SULpwsFaJ2P/P2Qprb9PQUX+dNJ84JCbFvu4ejf2hzywNiGM7 +5oRbFJH5J8rdMiK+YpFeVFBK5rNq6xcz4rvxKr3aFTQinHy5S4hr+jKUMx/S +eOHztnoZ8QsbNUeFWhpu43u9rIk7U7Ii/66nYZDzuf4/CwUaFb/ZNO7eaR9Z +TjzF/jp9vIHGCXetIStixWua84RNNFyadlRZEuuM5bjtfklDXMV5/WJiCyed +cx1vaGw3z8ldRLz2Vt4j9xYa8mOyDbrE3hN6Q81tNHLU15SpE+/bfFvXrp2G +q/NkwGzi8PsLtlR30ZBRGeyVIo6XuHfRtIeGE7d5wQRZz2nzl9UH9tPoPBSl +NkwcbvVs6A6Pxuj3pxO9xMOuXtr9fBoLXm59/YF47wGOu9YgDZa2WGIDcXdM +yNltIzQK1SJQSeyZLV6VMUbj4NPEzv/22/6t9lzFXzRkx6P6IohrmdKNm37T +cLfuc9xPbCG+6tQFMQZ6qX25HsTaS7d/EZNmwJ/boKRPnOEiVMAMBrc2G1rM +JJbff2r1/+QYbGk0sx0l53Uy62r+6BwGbucslWuJQyoNP5qoMuiyKevPJha8 +rpYOVGfQ9q3teiTxZ7GPgX3aDJT8tVtXElft/cP8gwmD6IdNqx+Q78s4+qa/ +gjkD1utbexOI86+apTktYRBw0TR0D3HKK5cfT23IfXN3FyXiYIuL9ZUODFSG +3/ADyPfOdVIfHnFkYJCu72VF7LunQNvEhYFAbdE9KWLHzKaztz0ZqNpgej6p +HwunTHe84sfgkkfMpfek/txQTT3VEsBAQspucRaxirlusfx+BtTGuw/9iKcH +2CmeD2awzSw4dJDUr57nER/DTjGwcai9/2MBG1v6Z8pURjIop2+GVBO/mcyy +HjnDYJmBodYJ4vrFj7L3X2Dg4CirPULqZVb6N3+fdAZnhnmPP5J6utkveNim +lMHXLJlNwbpsaAZdeL/3AYOjTzPfzidmTuRVpFQxSLPuwysdNiITPoYJ6hi4 +X7nVbkB8r3qlWFYzgwRGKPWK1PtJOYXZ470MnCSqxTjz2Hg2d9GYPpfBp4vj +s2OIk/Xs29wYBifdv8lqES+wDrt6b4isT4hy8X/9xi3gq87WCbKeat01VaQf +3a4ttahW4sOPtafYToWNI43PlfpV+dCTL5n5Wvm//tX/XV6Dj7GYzE1bid9x +Vev26vCxs8Mx9CDph78Uo+1VTPkI/97zVyzpny773DxDHfgQLPOzjZZn48ec +0VDLk8ScedE3JNkYOZx0OP80H5Hrb1SPk34teLn4gPIZPiQLtdM3E3edDfb9 +cZ4P47FGOwkJNp6MDaypS+fjpk67mwfp/5c+8BTsy/n43+4eydJfFDnnXQUe +DB9iB5iNu0i+mDd86tbTAT4et+qnXh4kectJ4/qSYT50EmTC6oUUZCT+SlL5 +zodHt5ucMsknQ8c+neiQEMA0p+BABU3hkUeLvb+WAPP9dS4X9VBw/aO5+6i3 +ABICZ9ElkpdKFoe23vURIJWu5ee+oyDvrPuy21eAKK+KnAckX706H1GzcbcA +2Wel17e8prDht1mqzhEBeH6nQ8RfkHzEXN3wPk6A8kU2Mxc8oWDBOlhhVi9A +k6fbv2Ek/yV3zi3cyxYg67antj/JhyM/G3OznwowKl8m5kTyY4mldqLMCwFC +jeZ3zy2mYFTQur/nowD05tyJ/HsU9NOgmTQiAHK2nYsk+VM5UCFuWG8Avbs2 +hS5JIPn68+qMwIUDSF13LLU9noKZw/Hb3D8HUL16idbpOJL39Nsfd5oPIF3y +1Wnqb5I3v+T9alo1gPD3k47mZyj862EVlLttACveez5pJnm6ZcV2V/fUASjV +eYs3bKdwWe6+coW4EMad1+RbDCnEYEB7TFKIY6xFQ8YLKZw4ZGRsKSvEwJP5 +Xn8bUNjx+v6aCgUhjqfdrF6iS/L7paLDFfOEGNYdfRpF/heezyp5XmElxAXB +UM4bOQoSs8pPVwYKsbbmQ+KmURbCZlRzq1qEqNVMlHlQwQLLKOYmt02Ig4UP +KqvKWZBydt6u3C7E6wTL7upSFtIu97ce/yoE70Hezer7LJQpKTZYCoWQ+pYh +zL/FAqN5IK9cchD+abtMrFJZ2GqpsbN4+SByM9v2mB1lwdo36nP+jUG0Z9HR +Bw1ZKHnz9r5a3iCCO9Q3fDJgQX+1dlTi7UHkb4hYsFqPBcUFjw3CiwbxNCp0 +gYImef6weIhT7SBU1/N00+awcOXs33KitkFwGtXiV09h4X+t63JvSA5hqZbs +e+c79fg0saltwHYIOfOWHaP5/2BD2Jxeg/wheN6NNsrZXoe0ubHd4krDaCy1 +PmkR+AjOHI+BtjPDoJQty20sq1Hf1Z61gRlGn9yRGqPPlZCemLFix5YRXM/a +2x0vKofM+n8j5lAjKFwmM9nLKcGJuhXvWPqjYFJTPj1RKwDL20RJLnUUH4bO ++n8dz0W95qfxX+OjML6q8PvFzFQsOHUg9dnEKEJUbxpb/ZOCxE8Txim/RxHw +eElDRFAKdiRp71o0TYSAnugf114lQ0w88NkWGRECG2LEdS4mYQ13MqVSRYSb +L8etbaYlovm+rnGwpQgW6d4R1/LPwkymqtF6qQjOf1gOzp2MwdUAh52Sy0S4 +w0/4snFzDALnB6Vk24jwkO/7sVHsDGZervr5YrUIU7f36OhtjYTLsQ2NC91E +CDWJTqgRheDhm44dY+4ifN+WNiqbeQxaRod+sjaLMLfUXsiyPYqR/mQj7y0i +2LhKN3rEBiPZqzM5docI+8ekedbqAfhVfsjIbZcIM0eKeLLb/OAvL9ao4S/C +s2njmdezdsCiSf/ngz0iVNxvu6tp6oksverkyH0i3DB8+v3jbRdIRG80cjwg +gt6Kyx6Gy9ciqKuzQfmgCAr9b0JcsQSty4N39AaJ4CG+1Xlm6Wbb/wMUcZUY + + "]]}, + Annotation[#, "Charting`Private`Tag$38049#1"]& ]}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{13.821428571428566`, 0.37499999999994316`}, { + 4.095234920676603, 0.375}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.2770723381435527`}, {0., 0.14209696643707412`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {143.04997677474404, -84.72370844417306}, + ImageScaled[{0.5, 0.5}], {268.07932208561704, 161.37849227461535}], + InsetBox[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwV1nk8Fe0XAHBJ9VPWIiUkIRQhW1mOLIm3JFFIJVuSrajopWRL5M1elmQX +N7LEleWeKRUpUgohka3EvXO5SYp+0/wzn+/nmZlnO+c8s8nZ19qNm4uLy3sJ +F9ffu4GLQJTg76MGXH8vn5yGc5/MPhbSdgIXV6PIv6nHGbadCqM+NHPgit/R +9j3lMiOor0s50vAQcAltt9+tkcAw27/+qzXNHrjIwrCqlCxG7Cdla6FVTsB1 +QUhgYqSIcW7d6+0XDV2Aa5HWraBRwbA/6Mc/cN4duGZWuEZ70hmGMcLfTGin +getkDZGUwmBsaapsoQ16AVfw47AChybGikXFQ7yr/CB08IF890gz41L6/OOG +grMQKq/Vd/zrKwZT66Wqn6E/cGmG2ElpvGE4d2bc3dwXAFzVG47Vqr5jvPf1 +Eug+fwEMi49Hhnh2Mxru8U/q04KA67uH1/WUAYaq6YAD2/RfyMZLmzyMhxh5 +Q2Uv8geDgTC018pxGGaY8t/rXLYqFELfLgS+GxlnXD4qFHuiJxSI9o7q9iMT +jNriQKNHBVch+7xt3fGvk4xte8wrvAzDgVjmLyWtwWa4J1d4POePAL/2pLGW +kmlG9uf10tJ9EWCo3JTfoMphrLky8V/n+Sgo55SJRXr+YMzTY7120a4Dl/iZ +s+kpiwyN5ZzNyYExQHzf8ni/MRf62Dj2TZnGQs+WxD5/4yU4RG6zyBm8AeUx ++Z3lDktxRGR8Dc+qeCivztzBHFmBS/QyWOVn4yFU/2dphjgvSrkceHmsh2pf +jOpmHlmJdhX0MHpBAgzyP9gb9ZUPX+6PZnsaJgGP8zy/voYwfgnQaxMrSoL+ +bz+aSqaEkSeTvPeUPxl0jP5x+VayGg0m7Jyk+pLh9hnGqVFVEayMUnz95nwq +kPwSrxs8xTANW+/r0NLAUDTw0q8UKYznUwyKFk8Hv2pZyYicjRhtf82053o6 +1H553fDMThovzBgPXPTIgHNHd+rE+m5C6y2NgnS5O+BXqTgmULsZo5qPPBK3 +yobBum2ivx4qIDcz6u6Ta9ngN7GgV3NcEUNEaiI9MRsaIt3GylcqYcBJEes6 +lRzIFjdrcT29FZ1/dUzY8+eCSYPF6ubdKgjbLSTSWvNgueOsiN52dayzDeLe +zZ0PlRGVdmtT1VEr+N6XLzvzwaq00l9oUR1VXiyv1inOBxVumqbrmx0o4dK0 +v+daATx/f1M0JlIT51L1roiZFgFzorOyY/NOrFhU+ZyCJbCuWva1UqYhRuvu +SoubKQEB0a09c/2GeDzQ1CpyCw3E/bQDTKR2I9/0UUbATRpcmin1sMndjR6j +0emHTtwHmQV/hyPlRij96rO18J9SmJbi2TQxbILN+16e3HO3HA6lL1w2LzZH +9W9W+kaPymFMNCHj5U9zzLretc6gsxxGF2Q9XlpYYMDzodeaKyqgfs5U1IRp +gTKGc/pyvhVQXXupb73uPry8Q06cByohpVD395FJS9QSv/L28UAVRI02/0w8 +bI36xo7qunNV4LRt39vGSGs08dqZ+FD4IQQ7a8jIVVvjQcbMwSKTh1AneESp +WOQQejl7vLlR8hBu8Ah+i+o6hLklBzuOXKiGmOydxWlutiigK9s+xU8HVd3D +vNIVdijqukTl1BY6uP6r/7l33A4l4gbiBg3p4C59z+StlD0qfrq9v9OfDk7M +0/cuxNmjSTh/W+0HOlxwOvU7xdsBL72cfRleUAuc85+Obd/piGNHX7xYr18H +PoMTR94snEBXgTej9XZ1cM1HK+WhtBMOET1LjgfUQZOEhEK+kRP2y33ZmUur +g+SsoH3MKCd8w1peoiReD6d5l2eoCJ/EhnCTGN0f9WCbePT+iW3OmEBDi2MV +jVCXM5AQFeKKWQu9bh2JBPgGpIT8iTmNAf2iHtV3CfhXwl1yoPI0mtdbeabf +JyCtmxzp6z2NnMDnPq7PCdhVUDCpsdUTLTgVF+d+EnB/uOCLY5snzk5EX5c+ ++RguHusdjhDzQsserVK/7U8gy0DIR7vJBxcrEzlCr5qgIfBpkKTeOVS9lfG/ +0xbNMN7mFMJvFISv2lOKzta2guyu4O/PckNR0uugzcVvbTAqG/K26lMESkts +N26t6IDM1/07lvDEIJ/mWpcjVm/hyiHdyhU2N7H0x/mWhrFOaFJQjJq8moj0 +g5fJ0rvvQb7AXnW4LwUzj5+6K6nbDQ5xyeEtumk4wf1TaP3PHhD9Gd+prXAH +p6yWtkyW9YLbsbl37bnZ+PIgcxmY9cMKTQ22Oi0XV09cXS7JPQB0CV0dg8V8 +3KE5Gxd09xNkx/x5tWBShAOxvJPlDwYhdE1UomVPMS4efLcjIXYIVjH+u+cd +dB9jzwpiud1n0BJXujS25AG29WdtXas9DDGNu3h5J8oxOCerr275CATCrThH +o0pcVu9Q9s/bEdj+usGQuF2FxtJnnGUejMLJuSeBGwWrkTnwzV4nZAzSuXV/ +pHrVoOVXQj3ZcRz2FksJrB6hY/Rea5V+7S+QfrYn/vL+R6i6xMbbhecrDHTt +4zdJrsMby0riVD9/hbv7CyeTxurR1sWPrVcxAR+X8pq5CDTiT9GZi5rB30A2 +We5b2DoGHhRp/eRvNwmZ1j+ytNYhlqtd7Co+OgmnRmpzCzcgCh2Qbft0fBIe +e0UcF9mI2H79ct0/bpPA1Vf644scosUf9ZTN5ybhOeNw2IUdiEYTGRadsZOQ +xLS/tskSUYPwrlbHSdinvzyXdhUx6aP4fY8nk3BPIs/3dQTi9HxzbtazSfg6 +VI/kNap/TZn4la8m4e5oxODW/xCVaV2en3smQfDwP5zwdET5VJBOnJ6EWqnd +Q48qEcW8hGPZclOwUTEySXUIMb/XOM1LcQoc3eOb9UcQ1c0vFI1vm4IH181f +mY0jWsr3NX3cMQUf3O8YWE8hRg3m/36xewrOnrkSZfgTcdZGxyf32BSokcOW +hv8j8J3+iYOHUqZgdtjWDKQIdL6fcKL99hS803pFi99IICn+1Ns8k/oeiB0a +lCaQb04hBvKm4E77UbdLmwk0rpx+srViCtqedV1IUyCwUj5Kg6dtCv51a9IP +UycwQbBUrJqHCftozU3fTQiMgCmZ7yuY0CuZXDVvSmCgr7KK5iomCJawfi/s +IdDpdalJtTAT1DS1b//ZS6DKzbKz1VJM+J+W4jvmPgJfCpS/rNZhQrTeqaBg +GwIZBmTXd10m1BxZiHS3pfr3Uf2sCUywKg7vszxMYHp7+Vy1KROSlm87Jm5H +oMd/FXI11kz4wut6J/MogcsEqq7UeFEO5mze70zgnP5MzKwvEybXJhhucCFw +0ntHqpY/E0xFpFLGKb9rq7pfE0TN52P90CU3AnPjHn6oiWLC0M3OiVgPAoG/ +Zgc9mwktr1NeHPYhUF1/1uBHHhMe8B0dXuFLoLy3loV2ERPK7Ms20ykLtNU4 +0UuZIMq+vUboLIH9N+hx9Dom9D3OTKD5ExjE92ic/o4JujorBaIDCSSUI/LG +u5mw/fQPlXVBBP7vwIETYn1MgBtNFwsppyaMdl0YYsIeWn1w4yVqPdaufq7J +ZEJ4yxmt98EE/tT+eNWNzYS21KTAwyEEGtrf00/hMCGjdW3ve8rtGQbVnHkm +5KaNzbZfJnBC+kx+1QoW9KakBZWEEqhmpOU0vJIFPWM3bktcpfbPZYnEGgEW +WLgbtt+gvLzwVtI5ERaYmSQFnQojUGbr0zC1TSxY+BhWsSyCwNP7bhqclGWB +5l0RDw/K5d4O8/FbWHD2ctW2F5QNysmzpDIL/rDofRGRBDpoSp58sIsFbb83 +VY5EEZhz+IvEJ30WvKe51WlfI/DLxaoegd0sGD3xrTma8oU6cysfMxa8lbRi +ykYT2NgnwpdlwYLonh88fpR5Fj41t+1nQfPPcxKPKCfCBVC2YUFYvp+56XUC +Pzjt/uV4hAVD72odoylLh/HRbziw4NijE14vKJc9zVWZdGLBnnqrYNMYAlvN +X0vSvFkgs9wR5GIJFD6T/qHXjwWWozpr7Sjb3XBLWRnAgjVE4GA05bH2X3ye +l1ggZpxpMUJZmXzekhbCglPOel8EbhAYIJwY8SKUBaZnagO0KXPbKPxWuMYC +24la2zDK5udn6HYxLCh5PFuUTzk+leEfHceCXJPwkaeUu+nXt9fGs0Br266V +w5SlPth8G0+ixtc+K/aHstv8xiKxW9T6SSTzrY8j8P6Gb85m6dT8iibHVClz +9GqkLt5hgVFab8EeyrrHr/YWZrMgsE57rwPl8o43pRvyWZC1tHW7N2V5Y5mr +8UUsWO8feTuEcmb1OZtlNBboLZChsZRXKzRtuVTGgqlVSeOplKPT1/xiVrAg +8jK79S7lRT7XdpdqFpQVJygWUg648jCnp5Ya/5G5JSWUJ9g85/c3sGD6WbE1 +jbKTq+3eJ8iCW8WK4n/bu7oKNmg3sSBV6dfhv+/vM59l0p6zYHY0e0U25cf1 +e55It7JAdSpT6RZlLZVbKSltLFj53I/xd3z3s8c9Vr5hQYDnncd/xy+zRkfv +yjsWOO/NU/87v9uR0YKcbhbc280t9Hf+AnM9nz36WNBB22lnQjnCU7Hm4wAL +llq18G6jPN8fdN36MxV/nts2C1P2O9Dq2DzKAsn7w7kz1PqPPRZX1fvKAqbW +mWudlB01ziytmGTBgRx4XU7ZbD1fSfoMC0RojDAXyg2xjiGCP6j2hye+6VBW +X7xvFTFP7YffropVlG+yC3/VcJHgjuGWxVQ8tSodcDvLTcI+yxGZAMrLXH+0 +b+UhYW20s6Ue5X+7zHKzV5Dg0ZOS/5SK3xpBctVRXhJqA3VeRVAm994+L7qK +BO3uThMjyu71X/bGCJDQgC9kqqn4z+HEV5oIkXDTkT/Sk3K/8k6JP8IkfO7f +oC5J2Tr7OstflIS7EW7ul6j8ivugZq8iRoK6ceTE33xsWd375Ms6Evau2Vn1 +ispXg0il1GMSJIyMbeQToazk+VLPbDMJAY83ll+l8t8tz79wiRwJf5zWK6+l +nN2/QahBnoRWZ6nPRVS9WHvAa1hViYRzAb+mnoRT+aLBHyOuRsI3y1qnbqoe +6XtXz7xTJ+H5heaztn/rVeGxYzc1SPi6VLOsg6pnzHVlqjw6JGyae5HLuELl +/4Jl95QBCd49wpaBVD18LnYZYwxJ4L8M775S9fOhWmnRFiMSCh5u6bGjHO+2 +KvCkKQkHDb8e2v4vgXvbmte9/4eECB3n2UaqXtdkGjo02JGgUGGKTlQ9z6/x +NbJ3IIFn10BY8Tmq/nRkKc0eJcFpcekDFlX/vXkW5refIEHIK1M3wI9AWa9H +GXlu1PytvbiOe1PP66p/jDlHwqCZ98oqdwJDbU8+2xJAQoqcefUb6jzy8Y0v +fXqehKuwpmrKlaoXecyQxUASjB7O50hS5xfXKprUuSskyKs8kj92gnq+d7OT +/Q0SpJxv3LI/QqBFkOjwlkISZESdjxpQ5/Nr3RVHxotI2CBWd3jCmECbxbnW +wmIS1JIEfiYaEXgivL9SrpR6X957ay9Q+RuXF7b5IQkdXFIihrsIvJOjJrPx +CQl5WhKOHipUfrluTh1oIuGOptfkx20E3pMXXZn1jISPNJ/lVlup84o2x5Z4 +QcKhd5s6FKn/iefV+Fi8g4R0H72oqk1UfL7Yf3LtALW+JnO9kiIEnr8B799/ +IkHn3yfyR1dT+WepZp4yRMVTmuVAshAV/+9E1ERGqf11W399gY9A8YE+rtWT +VPzN7r+dt4z6f5k+nc0/T0LW/w4PX51ETBWP+sSzlg3fx2s3uRcjPrNt3Nog +xoZdv5v+x1uAyInnXPRfz4ZIJcvE/GxE6xUuQp8l2NAkMh7y7BYiPwd242Y2 +vGGstSyLRIxo+5kbpMaG+wczI9c5IZ4L9XZn7mNDR6BfkYYgYk59fmWBJRsW +PzdGjvAidsz2LTpaUf0pHLpxgwdRxdvi1stDbKDn0rmf/WTgV/stLfcc2GCQ +8Vq+e5iBTjuGFF082GDnIt8XXMPAA2M2U93hVP9Tp+QrbRmoyr2m9mwkG47U +jTu9OsDA1VJvwlZdY8N8dIn9J3MGdtnuXwcxbLCpfBLI0mfgsWemxoXxbNDO +jRKqlWPgmXyttIA7bGiM/qdxfKYRrzmvMxWms+EpyMUVxzSix+UuQVotGzaM +a699H96IFunJvSZ1bIj685k9F9yIAm+F/AIb2SAVaZak6NuIKbt5Mz41sUF9 +9bSkyqFGzJOeJ0s72HDBLm3f4/WNiAN9mRYTbKglWAU/shtQJ89xZvkkG/7T +LK8Pud2Alac+mjdNsSFibeee+ZsNmE8OzOqy2TCdLETrutyA0dyfrZTn2FC/ +sXWrhGMDWst/4RFaPg0Mf3O+LpEGHPHmeL3fNA1bNccmRi7XI+8Cn76T/TSw +vy5TPKVRh1q5Iqv/OEzDDkFJw01KdehsJjF+x3EaKt2jFt9srMO6hK0JfSem +wfK28UmxVXXoKW8xeth9GlKXdexXG3qErQeuxe33nwYfn0u7smIfYUzukoFd +cdMQ4Z7dDx9qceXe2cuij6fhas8t4brDdBx0M952/8k0CMe1depb0LEmPP6D +0dNp4PXNSKfr0/EkKmn4NU9DNx9dLk6WjrVaJ762tk2DjtQDRHYNusu1HArt +nQbWqQ4viKnBx9zpCt9mpmG5gjjGVlVjYKP+W0J+BuzUekmvsSocDd+/6pLC +DJw+1f5jRVcVWlscM9mhNAMGF+9xpT6rwm3dwTUFyjNwZi99SWx+FQ6R9ekx +GjNgFndFtudkFVrI7nKxMZqBbRfWLJn/UIkSsVqc8WMzsGzN9uMaRAUSdtvX +CqbMwAbbSuvQ52U4+OdZW0nqDHTl/ymIyClDriLHyD23Z+CV4vVO3+AyNPx+ +nROSMQP8eltS59XKkEgYeTuZMwNB6m8LBzNKkWhNu9laNgPquhOHxzzvI6HH +wxvVMgNx26s8Er9TCSr94dfvX1T7Rd332vX5qBByJqVlYQaMW47nxMfkY/yH +BZXkPzOQZVc89dw+H50SZZy3LuXA6QzzVy9/5CE3j1eL/UoOROzuWKGpnocm +44vJNes4EJ7LTgvMzsHWUlkVP00OaL/5fav2aSaqr6Q362pzQOZe5Y94h0zM +cDc/uWInBwIvMO5KkxnotdEnOUuPA4kvzx1wE89A/gT6/CtjDrQZhH8IPZOG +VgEWzYrWHDCW8+kb/ZOCtR39Tt8PccBgi6+/bEIKblL2nSdsOeAr+Ov0OpkU +nB5NUraz54Dyt5+zG42TMenIx6QoJw6E8Z7bVnI1EX9X+SpbO3NgcfWETbxQ +IroKcTdLunKAXzFyWOluAmq8kJ9/eIoDB330a4Lr4zFT7lFS6GkOhPq/rt9h +Ho/Lwv5R3neGAxL2/Tb6pTfRZ+DjczFvDgylrWu61Pwfdu3ycxr24UD5qcKY +jUNx+H9eSAXa + "]]}, + Annotation[#, "Charting`Private`Tag$38095#1"]& ]}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->{{18.28172831632653, 0.375}, {4.095234920676603, 0.375}}, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> + None, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.2770723381435527`}, {-0.12932340179717944`, 0.}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}], {431.38008019668115, -84.72370844417306}, + ImageScaled[{0.5, 0.5}], {272.53962183051505, 161.37849227461535}]}, {}}, + ImageSize->{ + UpTo[540], + UpTo[167]}, + PlotRange->{{0, 576.6602068438742}, {-169.4474168883461, 0}}, + PlotRangePadding->{6, 5}]], "Output", + CellChangeTimes->{ + 3.826008397009801*^9, 3.826008507422884*^9, 3.826008595888225*^9, + 3.826008841294518*^9, {3.826009294082121*^9, 3.82600931820925*^9}, + 3.8260094317201977`*^9, {3.826009845996776*^9, 3.826009866844253*^9}, + 3.826010410373127*^9}, + CellLabel-> + "Out[365]=",ExpressionUUID->"e6ece27a-240d-4388-ae6d-863762fb16fc"] +}, Open ]], + +Cell[BoxData[{ + RowBox[{ + RowBox[{"h9", "=", + RowBox[{"h", "[", "8", "]"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"F9", "=", + RowBox[{"RF", "[", "5", "]"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"eq9", "=", + RowBox[{ + RowBox[{"eq", "[", + RowBox[{"5", ",", "h9"}], "]"}], "[", "10", "]"}]}], ";"}]}], "Input", + CellChangeTimes->{ + 3.817563268660089*^9, {3.817563829122241*^9, 3.817563846550528*^9}, { + 3.817563950998456*^9, 3.817563956525237*^9}, {3.8175645239988813`*^9, + 3.817564534320574*^9}, {3.81756485534698*^9, 3.817564862343175*^9}, { + 3.817564919676697*^9, 3.8175649235785027`*^9}, {3.817565106996109*^9, + 3.8175651474217367`*^9}, {3.8175652415905113`*^9, 3.817565250029232*^9}, { + 3.8175657444559927`*^9, 3.8175657689660788`*^9}, 3.8175669120549498`*^9, { + 3.8175677716518087`*^9, 3.817567773706285*^9}, {3.817579700926876*^9, + 3.817579701354711*^9}, {3.8175810533593073`*^9, 3.817581114447541*^9}, { + 3.817581149854197*^9, 3.8175811499220247`*^9}, {3.817581265163169*^9, + 3.81758126542041*^9}, {3.81758144220247*^9, 3.8175814490334673`*^9}, { + 3.8175815152710047`*^9, 3.817581521148234*^9}, {3.817581635837187*^9, + 3.817581700879589*^9}, {3.817581767691791*^9, 3.817581768673394*^9}, { + 3.8175821842992363`*^9, 3.8175821844066353`*^9}, {3.817582286431714*^9, + 3.817582297101211*^9}, {3.817582488847374*^9, 3.817582488974349*^9}, { + 3.817582803954041*^9, 3.817582804222094*^9}, {3.817618756754203*^9, + 3.817618757439868*^9}, {3.81761900296082*^9, 3.817619003035212*^9}, { + 3.8176203963382673`*^9, 3.817620396528458*^9}, {3.817626242723531*^9, + 3.817626282042306*^9}, {3.817627870666265*^9, 3.817627904779098*^9}, { + 3.817629704809123*^9, 3.8176297360288*^9}, {3.818229759701996*^9, + 3.81822980267845*^9}, 3.825758726252138*^9, {3.826007884715208*^9, + 3.826007887211458*^9}, {3.826008571401293*^9, 3.826008579185329*^9}, { + 3.826008613577992*^9, 3.826008639890254*^9}, {3.826008725532415*^9, + 3.826008766732915*^9}, {3.826008867270997*^9, 3.826008886791129*^9}, { + 3.826008934528173*^9, 3.82600893500001*^9}, {3.826009331423201*^9, + 3.8260093457351437`*^9}, {3.826009510138618*^9, 3.8260095273227654`*^9}, { + 3.82600991943439*^9, 3.8260099395464363`*^9}, {3.8260104672924356`*^9, + 3.826010487492847*^9}}, + CellLabel-> + "In[366]:=",ExpressionUUID->"5f4959b4-0631-460c-894f-e078cc08f6c0"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"sol9", "=", + RowBox[{"FindRoot", "[", + RowBox[{"eq9", ",", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"\[Theta]c", ",", + RowBox[{"\[Theta]c", "/.", "sol8"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"A", ",", + RowBox[{"A", "/.", "sol8"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "0", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "0", "]"}], "/.", "sol8"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"FC", "[", "0", "]"}], ",", + RowBox[{ + RowBox[{"FC", "[", "0", "]"}], "/.", "sol8"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"FC", "[", "1", "]"}], ",", + RowBox[{ + RowBox[{"FC", "[", "1", "]"}], "/.", "sol8"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"FC", "[", "2", "]"}], ",", + RowBox[{ + RowBox[{"FC", "[", "2", "]"}], "/.", "sol8"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "1", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "1", "]"}], "/.", "sol8"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "2", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "2", "]"}], "/.", "sol8"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "3", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "3", "]"}], "/.", "sol8"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "4", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "4", "]"}], "/.", "sol8"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"FC", "[", "3", "]"}], ",", + RowBox[{ + RowBox[{"FC", "[", "3", "]"}], "/.", "sol8"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "5", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "5", "]"}], "/.", "sol8"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "6", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "6", "]"}], "/.", "sol8"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"FC", "[", "4", "]"}], ",", + RowBox[{ + RowBox[{"FC", "[", "4", "]"}], "/.", "sol8"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "7", "]"}], ",", + RowBox[{ + RowBox[{"gC", "[", "7", "]"}], "/.", "sol8"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"gC", "[", "8", "]"}], ",", + RowBox[{"0.001", " ", + RowBox[{"RandomReal", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"-", "1"}], ",", "1"}], "}"}], "]"}]}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"FC", "[", "5", "]"}], ",", + RowBox[{"0.001", " ", + RowBox[{"RandomReal", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"-", "1"}], ",", "1"}], "}"}], "]"}]}]}], "}"}]}], "}"}], + ",", + RowBox[{"MaxIterations", "\[Rule]", "50000"}], ",", + RowBox[{"Method", "->", + RowBox[{"{", + RowBox[{"\"\\"", ",", " ", + RowBox[{ + "\"\\"", " ", "->", " ", "\"\\""}]}], + "}"}]}]}], "]"}]}]], "Input", + CellChangeTimes->{{3.8175612726329412`*^9, 3.81756128486736*^9}, { + 3.8175614038617268`*^9, 3.817561415404965*^9}, {3.817561511096093*^9, + 3.817561563944231*^9}, {3.81756250196518*^9, 3.817562507914916*^9}, { + 3.817562967760625*^9, 3.81756298304041*^9}, 3.817563161460335*^9, { + 3.817563206558021*^9, 3.81756320676147*^9}, {3.817563530710863*^9, + 3.817563550054001*^9}, {3.817563775700533*^9, 3.817563804069632*^9}, { + 3.817563971222761*^9, 3.817564086350409*^9}, {3.817564155680212*^9, + 3.8175641623358994`*^9}, {3.81756424029494*^9, 3.817564240399859*^9}, { + 3.8175645416987743`*^9, 3.817564542202907*^9}, {3.817564715061411*^9, + 3.817564723202471*^9}, {3.8175648450855713`*^9, 3.817564883921851*^9}, { + 3.8175650025642157`*^9, 3.817565074155829*^9}, {3.817565217921039*^9, + 3.817565230520749*^9}, {3.817565359356901*^9, 3.8175654247402163`*^9}, { + 3.817565602697175*^9, 3.817565635407323*^9}, {3.817566059389201*^9, + 3.817566077942937*^9}, {3.817566269837482*^9, 3.817566273547044*^9}, { + 3.8175663066250553`*^9, 3.817566306784181*^9}, {3.817566684914805*^9, + 3.81756668549652*^9}, {3.817566919102108*^9, 3.817566934549343*^9}, { + 3.8175696638331223`*^9, 3.817569664744486*^9}, {3.817579706169273*^9, + 3.8175797767735577`*^9}, {3.817581067506674*^9, 3.8175810689721537`*^9}, { + 3.817581121371869*^9, 3.817581169115347*^9}, {3.817581207766066*^9, + 3.817581270669099*^9}, 3.817581309702499*^9, {3.817581355857291*^9, + 3.817581356026667*^9}, {3.817581392130506*^9, 3.817581416424316*^9}, { + 3.817581457365512*^9, 3.8175814943565397`*^9}, {3.81758152586852*^9, + 3.817581526654297*^9}, {3.8175819155874557`*^9, 3.81758195123713*^9}, { + 3.8175820720836487`*^9, 3.817582073079625*^9}, {3.817582192281794*^9, + 3.8175821927535973`*^9}, {3.8175824979646*^9, 3.817582531058486*^9}, { + 3.817582601242318*^9, 3.817582616669943*^9}, {3.817582763042087*^9, + 3.817582823261053*^9}, {3.817582997786705*^9, 3.817583024595161*^9}, { + 3.817584829987904*^9, 3.817584859074748*^9}, {3.81758494165969*^9, + 3.81758496226119*^9}, {3.81758499940244*^9, 3.8175849995669928`*^9}, { + 3.817585077390765*^9, 3.817585077573927*^9}, {3.817585156651001*^9, + 3.817585156823139*^9}, {3.817585322721836*^9, 3.817585349348461*^9}, { + 3.817585456385895*^9, 3.817585457280986*^9}, {3.817585513558703*^9, + 3.8175855137401114`*^9}, {3.817613675501788*^9, 3.817613676578967*^9}, { + 3.8176168804169617`*^9, 3.81761688926372*^9}, {3.817618774003889*^9, + 3.817618793385603*^9}, {3.8176190151288853`*^9, 3.817619038205636*^9}, + 3.8176190698677187`*^9, {3.817619141079945*^9, 3.8176191871342373`*^9}, { + 3.817619234638775*^9, 3.817619240400311*^9}, {3.817619299848545*^9, + 3.817619332922262*^9}, {3.817619399549685*^9, 3.817619401809965*^9}, { + 3.8176196502657223`*^9, 3.817619664950913*^9}, {3.817619740359915*^9, + 3.8176197551387*^9}, {3.81761980328899*^9, 3.8176198034943733`*^9}, { + 3.817620410694891*^9, 3.817620463869529*^9}, {3.817620674916114*^9, + 3.817620678055534*^9}, {3.817620745057685*^9, 3.817620761178657*^9}, { + 3.817626286376536*^9, 3.8176263645243196`*^9}, {3.817627920512431*^9, + 3.817627961648692*^9}, {3.8176289379929667`*^9, 3.8176289382553997`*^9}, { + 3.817628977854362*^9, 3.817628981182324*^9}, 3.81762904026398*^9, { + 3.817629751676261*^9, 3.8176297825415983`*^9}, {3.818229743661914*^9, + 3.8182297488938627`*^9}, {3.8182298139507504`*^9, 3.818229816310824*^9}, + 3.818229853009067*^9, {3.826007900867858*^9, 3.8260079401484003`*^9}, { + 3.826008127440681*^9, 3.826008150233103*^9}, {3.8260082971323853`*^9, + 3.8260082972439747`*^9}, {3.826008404190578*^9, 3.826008404238015*^9}, { + 3.826008585010708*^9, 3.826008594433675*^9}, {3.826008644130653*^9, + 3.8260087820215483`*^9}, {3.826008892431964*^9, 3.826008975209036*^9}, { + 3.826009256518217*^9, 3.826009259453992*^9}, {3.826009349375922*^9, + 3.826009406408629*^9}, {3.826009530443097*^9, 3.826009643269166*^9}, { + 3.826009700231398*^9, 3.826009706726335*^9}, {3.8260099423390713`*^9, + 3.826009996595956*^9}, {3.826010112863278*^9, 3.826010127358502*^9}, { + 3.826010369714923*^9, 3.826010370058804*^9}, {3.8260104944454107`*^9, + 3.826010565496467*^9}, {3.826012235317123*^9, 3.826012308686591*^9}}, + CellLabel-> + "In[443]:=",ExpressionUUID->"42dd11c3-40d8-4229-9f2b-ea33c98a4a3d"], + +Cell[BoxData["$Aborted"], "Output", CellChangeTimes->{ 3.817582243098262*^9, {3.817582385638481*^9, 3.817582397851478*^9}, { 3.817582440404005*^9, 3.8175824479120073`*^9}, {3.8175825951659813`*^9, @@ -31192,9 +39686,21 @@ Cell[BoxData[ 3.817626520486795*^9, 3.817627350228532*^9, 3.8176277415834227`*^9, 3.817628956472193*^9, 3.817629002825632*^9, 3.817629056020689*^9, 3.818233161500917*^9, 3.8257607803594303`*^9, 3.825761120850746*^9, - 3.8257632795319233`*^9, 3.825764106769557*^9}, + 3.8257632795319233`*^9, 3.825764106769557*^9, {3.826007923264882*^9, + 3.826008038405919*^9}, {3.826008123160612*^9, 3.826008165509284*^9}, + 3.8260082910872498`*^9, 3.826008330378909*^9, 3.826008492624241*^9, + 3.826008594737713*^9, {3.82600870352409*^9, 3.826008812118639*^9}, { + 3.826008936050972*^9, 3.8260090205065403`*^9}, {3.8260092507911787`*^9, + 3.826009292248102*^9}, {3.8260093981014147`*^9, 3.826009410209749*^9}, { + 3.8260095943047953`*^9, 3.826009633928136*^9}, {3.826009693966002*^9, + 3.826009738629236*^9}, {3.826009769178308*^9, 3.826009840808998*^9}, { + 3.826009996844149*^9, 3.826010023867828*^9}, {3.8260100750706177`*^9, + 3.826010089316058*^9}, {3.8260101218293247`*^9, 3.826010127919675*^9}, { + 3.826010350308375*^9, 3.826010380830915*^9}, {3.8260105503755417`*^9, + 3.826010720934725*^9}, {3.8260122445541773`*^9, 3.82601230264856*^9}, + 3.826012557423703*^9}, CellLabel-> - "Out[472]=",ExpressionUUID->"0f0bf755-902b-438c-885e-66abfcfbd74e"] + "Out[443]=",ExpressionUUID->"d656f635-4cba-4947-8345-8861516ad400"] }, Open ]], Cell[CellGroupData[{ @@ -31206,23 +39712,21 @@ Cell[BoxData[ RowBox[{"Plot", "[", RowBox[{ RowBox[{ - RowBox[{ - RowBox[{"h3", "[", "\[Theta]", "]"}], "/.", "sol3"}], "/.", - RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], ",", + RowBox[{"h9", "[", "\[Theta]", "]"}], "/.", "sol9"}], ",", RowBox[{"{", - RowBox[{"\[Theta]", ",", "0", ",", "\[Theta]c1"}], "}"}]}], "]"}], ",", - "\[IndentingNewLine]", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol9"}]}], "}"}]}], "]"}], ",", + "\[IndentingNewLine]", RowBox[{"Plot", "[", RowBox[{ RowBox[{ RowBox[{ - RowBox[{ - RowBox[{"F3", "[", "\[Theta]", "]"}], "/.", - RowBox[{"B", "\[Rule]", - RowBox[{"ruleB", "[", "h3", "]"}]}]}], "/.", "sol3"}], "/.", - RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]c1"}]}], ",", + RowBox[{"F9", "[", "\[Theta]", "]"}], "/.", + RowBox[{"B", "\[Rule]", + RowBox[{"ruleB", "[", "h8", "]"}]}]}], "/.", "sol9"}], ",", RowBox[{"{", - RowBox[{"\[Theta]", ",", "0", ",", "\[Theta]c1"}], "}"}]}], "]"}]}], + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol9"}]}], "}"}]}], "]"}]}], "\[IndentingNewLine]", "}"}], "]"}]], "Input", CellChangeTimes->{{3.8175672854849167`*^9, 3.8175673108365*^9}, { 3.817567343605356*^9, 3.817567515945986*^9}, {3.817567689779602*^9, @@ -31233,9 +39737,13 @@ Cell[BoxData[ 3.817616967115974*^9}, {3.8176195353257837`*^9, 3.817619546043696*^9}, { 3.817627764775979*^9, 3.8176278238158283`*^9}, {3.818229824671139*^9, 3.818229831606958*^9}, {3.818233166561644*^9, 3.81823316664911*^9}, - 3.8182444139503117`*^9}, + 3.8182444139503117`*^9, {3.826008373734087*^9, 3.826008396493952*^9}, { + 3.826008816966032*^9, 3.826008840830307*^9}, {3.826009299311204*^9, + 3.826009316127002*^9}, {3.826009419360985*^9, 3.826009431216947*^9}, { + 3.826009848857473*^9, 3.8260098663291883`*^9}, {3.826010394459412*^9, + 3.826010409899159*^9}, {3.826010756425894*^9, 3.826010781266267*^9}}, CellLabel-> - "In[473]:=",ExpressionUUID->"050da7fc-1308-4d49-81b4-1f4efc54c09a"], + "In[395]:=",ExpressionUUID->"3b92c534-fe03-4b93-bce9-3935e73cd50a"], Cell[BoxData[ GraphicsBox[{{}, {InsetBox[ @@ -31243,95 +39751,95 @@ Cell[BoxData[ TagBox[ {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[1.], LineBox[CompressedData[" -1:eJwV1nk8VG0bB/CIaFFRIUQqpbIXKcsv+14ilWghS1S2iLSr3oSQEEkkYc4I -JSVSIZGiKBVJmHNmkG2kHtLDez9/zef7mZlrznXPfS2K7v4OnoLTpk0TEpg2 -7b/X2Ne18ZHUTsO+P7WWtPtyw5DfJb1RJdpQ27/I7WydAJiP2YkuJWaYULmf -6VwnjiWmcn0mJU5wGNjjaF6niCcTnxfqlngiLHztmH6dJi591l6jVRKC6BXq -YRvrjOBXQ69XL7mIQ+aFvvp12+Cur1+mWpIEJZVcP/s6NwRfjtNlbuXAWvZD -2LLIIMypEt1f31AEDzfvHysvn0BV+yJetMYjiIza9b9Si4Dpi9/Rq0WfYmaj -+Ic/Y/9D+S9/zkTFCxw4NaPLIDAa5f6N87Y9qMa/262KrVbE48hY85KvKa8g -sCkqpOl8Av7J/nrslN1rBLZXpWg+SQRPu7Hjiv5bOPS37J+UvY7CvpdXH403 -okFCPkDeMRWLPmssiPr4HjUlT2xkTqRBeO0o7W/VjC/77jdKv01HV/zGdre7 -HyAeFeluOZiB4Z6fbVHyLYj9n42xscxt7LI8Z90Y/wl1mnGa/ZpZyH8S/31J -32eoQOGwrMYdrFuy6GT2/lbwej4Or9HLRk6CrOGGZ22427zr7NCau7D9kywi -sLEd5jeptqJlObDxYYyY/G/g/1Hn9YjkQqev5HaLyHe8N1aVOv0uF1TBqQuT -6ATC3KJdk/OgEdhlnTLUiVyT7IgHBiy4Py6wep7Whfnf8mwrGlnY96nUkbrV -hevF5ZdnNLHg+qtqT9LtLviGBhtv+cDCznWfAw/ldiFU7tqK1s8s2BZOpUoV -d2HO9Dtp7Z0saOfa9/nXd+Fq2UBL6ggLotdHopaOd6G4yfxc70IKBcd03p7b -0Y3YGQqtFdspvEuNHtzk3I01OREm53ZQGH7aOX/UpRsazTP1TXZR0Joe7eTl -1o0pYVZLlQuFR3HfO6wPd+NkpM6tIncKz/Ii+QsiusFrGpQzDyDx2tokc+51 -Q+/Q2kSnKBLvX/WN+4q6YZGX9q03moKE4kUX6eJu7BLxyDl5hcJ2b/XMqNJu -3HFe8TA9nsKXn+dX+1d3Q8DyWHFDMoXOOar6uq3d2Bgr2EZnkXiGZ9zqhTgI -u58b0/+Ewm8bDr9ChANFgbGrR8opTOyyiLg/i4O5cxdW9T+lMOPovDsp8zmw -NdiVyTynIJebQXvJcXDyWZFpZQ0Fi3kvvKev5yBuwVOWQhOFW9+n+ekf4CBg -ivsumEshu99jUt2LAx81BbEyHgXWeF3sch8Oqq1OuP/bQ+HhgquFs/w5eDll -63j6B4XXFor8L+EcTFu02MBnmMJooVFwSAIH70yuFnaPU7A5GxFeUMlBi3Oi -0P7ZbOxfV4fElxzICK/Y6z6HjWCumHB4LQeyyx+8cxdj46ZtapxZAwdSH9PH -9sxjo1+6KLv9C3lf+LyDwQI2rtz/1jhrmIO0FO17GTJsZHksTxwe4aD3Zo7Z -eVk2Hkn5OH/6xcGhnUcGPOTY6Dg1yrk9wcFlzoeDy+TZULOePa4rQqPz1vDU -RUU23nXrLveWp3F7cFxnaBUbdNLpHltFGmviNlwoVmZjzPLlPa0VNM66aH0J -Wc3G0sKtupOraQSW6iWMrmEj4ISXXZI2DTPLXLSpsiG+MDG02pZGuuARUfN1 -bKysbdVnbaXxwOXouT7iTeEKgnEONBT2FI3FrGfDvZOK2b2LhqRr4fc32mw8 -yK+8zT9AQ+pV/1lNXTYczYbeKJygUewkdCNNn42ov2dYH07REEz5yZE0YKOq -eP6lS2dprKtM9o4n1lqmZTx0kcZxd1OZ04ZsSEwFlz6Lp5FYtk3RdDMb1o+E -k4Ou0bBIG1W5TxxxJPnoymQaWVa0n5wRGyNfH6vFptFQffnPtQHi5tI/2Xty -aKT1SuwMN2FjVkB0hDiLhvtxzGwlNl4lt7+GTWNw+o5BbVPy/EkGsqr3aXQM -xG/tI04IOnv1bznJzyjQ3cCcjfrV4v5Fz2hI71yaeYVYsOu2rUcljShhF7F2 -4qCt1SJvX9HY4FQTfNSCDQeVGafTmmiwR4oOxViS/DnJLls/0vh0empxI3HV -jVUbp3+mIdZ+ZlTMiuQ/02rUt53G+iu+KpHEvi9am+S/0/jmMBVZRZwV6lvY -3EXDpEFm/gSxBDfadxOPRnmK3k0va3I+6XKWg700un4fykwljth+Tymrn8b8 -Fccb6olHqho7Z47QcO04m7nKho014fueVYzSiJDMNXMkdtccTgv8h8bUUQGJ -U8TNGeI7W//ScGqi5N8Qz9qZtf7KFA2O3Mq9Q8TGc9dJGAkycFRSqxa3ZSO8 -pnpoVIjBXhNnOy3iBye3N+SJMNClDf7aE/etYyjXWQzYl4PeHSFe9iMkcr4Y -A7X6K68iiROcr5uESTCY+tYs/4S4fr6yosoiBhbma840EgvWlU5+l2Lw+Gi1 -QDfxpjNW7ddkGDh5auf8JA7SaXtisYSBvbrU4el2bFADvtcnFBhITkw5iBN3 -Z08EFy5j4CFyafcSYhnXGIcDSgy880wiVhFvW7BEQ0qZQa1Fw2t1Yr+HT08I -r2VQd0zhrg5xlJNr7U9VBvGSj6z1iHN+T0h0a5B8ZOaUGRBXXU/b+34dA07i -zZH/3KGrRz3TYbCtpPvnf5+faG37lb+RQWS9c8UGYukT4UZp+gzyjU5t0SRe -Lydz5TIYpOfU5SgT21c8+RJqzGBu9uOa/5738F7nFV5mDFjTX1HziSOnxvy3 -WzLQLPB3EiC+m5lSbmzDIJGtUTNEzqPKSFdEcwuDlcsvjn8l7uj+7KCwjUGe -Sy+/hvjP+dBbYtsZBJW33rtHLKkk1Texg0FyXbPKNWKtV4+0+5wZjCtv8ztG -vNV7x7kvrgzCspoCdxIfFv399tU+BjNkm3R0iCNZSdIl7gzep7x9KkGcba3t -cceTwU5jo+kD5L68+PGx8OpBBnF782fWEI+rLrTw82MgVuCy3Y9Y8l1xgmsg -gxKJtOsg1gpw7LAOZiBrV5syl9j3QULIqnAGP+d3NN8l97ldRzy78yID08pm -qSekHsY+Fw01RpL70GqmH0a86Li9XkU0g+jXKTLaxFvK45pTrzLQ0WkTzCP1 -9xxzBRzTGVAdj44GkXpt77xna5TJYM3BBc4KxGPn7FLU7zBY5WAz+prUt8bL -GPU5LAYnb9tZSxNnWc7eW/OQQdWeHK9U0i+e9VKs4scMilfy+tcRf42y/nW7 -jEHSLRGlt6TfLGy4HHP6BQORQ/15v4zZuLhNtHzDWwbhi/35KqRfHdwtLE1x -GLQek5dSIf0wb2rohBeXgf/C9HqK9M+e7Lbvy3oZxFaLhawi9hkqzE0bZHDc -QuOejB45nwu7N1wZZzDUdjijh/TfQwWFOwLmcTG8+em6ZaRf5zveKFOR4CKA -t3TVWdLP+8cuyPcu5OJEmcbsdi3yf5rs5rrJcFFh8vLOFU3iL0LHHJW4oOW7 -Z39RI/UguDtJR48LSc51t5lknhTkmo6PGHCRxXPSNCfzZtBWfU/hZi4qLyf/ -OEvmkf91ISVlcy503iyWH1Yi80al8OHibVyoGv4voGQZqdcdQh//enGR621/ -7CuZfyFUgUR1AheB4qreCWS+vvwVzg5M4uKugvBkPJm/EkYWpktTuBDJeRR5 -ZRYbRZ+/h5xK5yIpxDzsrCjJR0i8dUMeF4M3Ih7ZCbHhse9oRn4FF7Ztyw5c -nKDgsFBXJbmHi2s1hxS9yT5we59QjekPLgaKLkYvJ/vCMPV+z88BLsTdyjq+ -MRRijXzi7H9yISqsBFsO2Rf8bozMmuTCLfNbx7wOCptf/y09s4CHQ+Gbt2l9 -oKB+utLMx5AH0Zi1L7vIfuNefNPWwYgHs4RR+41lFJJ7Qh31THk4eK/LJbaU -wl8HNTcxax48/yT0aZRQqF+VdvK+Ew+Pxa06dxZQ8GgKLh4/zINKj2eLSiaF -lBXKilFpPJw5qbN++ByFN87TlY/e4oG3Vqbm9xkKk7Edaq63eZh1vr32zykK -nuOJ+mq5PLw+E6E4cZzsh40Cu5of8DBTRlj2WyCFhtCvsTL1PLj4KLUouVEQ -fBP7lxrj4dQfe06tAQVnoRJZ9wkeWrtagu7oUSgy+Lpp8SQPF6emPT+5kcLe -olXHL03vQYmGaoyyNoXypBe/Dsztgeoe+REPFQrB+0cG5Vb0wNfn34IAGQrc -X05dsVt74HrwwazmURbeLF3yKiinBxdtkt/fy2JhhqmDowerB1vsAnnlGSwY -e1/qdMrvQY3gGuPamyyU3eP/0X3Qg3NGwlUtySzkbXqlPlVBfr9rJacpioUL -2/1To1t64DeywNc8iAX9yMrD2UK9eOwYHS8PFgqGPBd8cu/FnE1+20++z8Nc -KW5pkmcv2vrkxiUb8nDE0Guv08FeUGYslcLXeVC54sX6eKQXCj7p+FKVB9Ya -b3wI68Wj0vfzxErykO158ND72F5Y3pqhKZCahxtffavry3qxNt8LEvvycKnW -/+hziT58thGPbeTkYs5yzmyd531QcEg1NmrJAfuf+cqW4T+wRevuH70Ld7G5 -ZWpHp3I/cmNO1WUvzcbgWtbMhdx+cBSO+xUGZcFqxtPRjxkDuN89x6o9IxM3 -euNGZO0GoZ/Xvd48Kh1C5vLBk6JD8Dt3fspAMxUe7COi3qVDMKvwn6bwKRG6 -1td81bSGMXjmDUJs42Ez8VYiNG4YGXtuFCxR+x9aNbxfRnCHYSLzfZFRTygk -WuICRXqG4W0/U6AxKhS2x0vlY3qH4VtpXG6pGopnlTOPJ/UP4y977UORoGPI -cshXzRsh3y8zc8n/E4zDwfzkhslh7Hg2lpkkGoTJxyd8pKX4oOcoLVyudhAb -XLMl06X5sPEUiK7180bAtIZqRRk+pr8/KGdV6AWOpbz82iV8KD0Jfc5R90Rd -64tmg+V8rNVudAlTd8fVCWH9A+p8ZOr5Wjra70J9hlovT4OP7ycs/rVu2AEh -053Jh7VI/A8N/pNWTjgWkzccos1H5bp5/BRjB+xeYnM3Uo+PF2POGw3dLHGt -8qiDmAEficfqBgZ3mOGt582pq4Z8bNMTzpe2NQYKBpzTjPh4rpIhV+SjizAH -SZGlJnyItx5RbbfXwoPfhg+zTUn8gTOv/jmijB83vN1Wm/MRFDASZRggjRWI -n1tgwYeX3d9i1vsNhv8Hf2D4lg== +1:eJwV1nk0VW0bBnBziZBIg8wiUkJIuD4SQqJMaXglCg0yFkWol6hEopKQOUPl +nH2SDIkkiTSQEirn7H0cKU4Rjd9+/9rrt5691rP2s5/7um9V3+At/kICAgIi +ggIC/z0NNoiO1T3aZmkj4rKe9XyFpeX+wBrZYhMU/zDlXQ+eA8P0ieVDRXZI +CLDxCQhejJVFa/a0Fnni5nv/b47BOqioen3ibtE+ECPv1RBshiCGthSj6AiC +PFMdLYMd0G7k2nOzKAlNC43U3IK9MRPBMa0quoQiXd5QTXAQRO/Xx68rLAN7 +uGNIN/UYmu6KnfbexEBo+a7Tm6JP4WwM00dC9y6wedd5ZakzSO8lHwqfbkSs +kXI6e1E6Alq6LNXNmzFyVWLd1pCLKPIf8+GGtUJnXCd5nexllFl0nSnNeYzx +a6qvxgqvwv7B+HuJ8x1gqhll75vJhej53p/zH3TBvf/F5QbH69AXOZHvM9iN +O59ucp/9LMCD/jA7wu0FHrjs9b9QUAQfL4fnb3gv0bez3vDw/hJ0lVuNP/fv +AZWQ7zomWwaHgsX8qwKv8czo0mTAmxsoJ9ymP2b0YdlZjTyN9Ar05dzK+CXx +Ft3lyVOX1asgp/NpHrewH31P1kr7d96E8rmNmiUqAzD16Nq6XOs2TDNPLzFu +GASvO7LU58ttLNkhd0Z1+XsILlLY23ejGvF937bMI9/jbPlCz5X0uR3SspXk +MT7Am6kg+HacgfUftGRWhH6E7ibBdU7HmEjWNsuq1BtGywahnP6vTIwbLTR/ +qz+MLOczOi2TTHhZTX2YZTQMB/+o2BvfmVjmzdDbYzYM7V9+4aE/mWg+o9O6 +yG4YhUnZyZNCBH59Xvwt0WcYbrsiP96fR+Aw66fr7oxhZER8uLh7JQFP64a5 +C2aGISIvr1u3h0BQWqvX3F/DSGlvHDbyJ3B8sLNQ5O8whEKeHKjaS6AgenDt +VxE2Pqg4fc4OJPCZ8de/W4aN72Rfwb5gAqfUrRtTtNmYb7E4pC2aAEOk7dBf +TzZ2r8/IvpZGoHXLs9opbzb0hptPj6cT6Mt/LfJ5Jxv9xsfWWmcQ+G3OzX63 +h4397h3vP2QSsI8Qb6sNZuNN0jMz2asEhjiOyuFJbKQLFdQZFxOQbOt+xr3D +hmjlJ96ZuwQC+3Ible+xsTP7pd2zWgKPRg5UeTSw8YN1TnleHYE4SfEzD1vY +MDN1sEhrIPDN1co2v5uNXxrn1I43E+h/V13vyWPjvHfWojlPCZTzL9x4tJSD +LdukyB8DBGaJ7L78W4U2SyRVcoiAn/yqJCMNDi7M2ZKn+J6AkmmHX4EOBy5m +D3+afCRwIUZYJdaEg9PDT85uJwlEzQ7PWuPKAWNuQab7Z/r7lNxPFp3iYIdl +SuS83/T+E7oHniZx0PEpzHCU9qFWIfdvKRx4drM8W/4QyDhwe5lNOgehdSav +DgmwMHhP4snwNQ5k9cdSGcIshHs2y6jXcHB2k+SVT+IszNK9MuNwj4OfFh6p +lXNYyP4T/DG0gYO7119+DJJg4X7xUqK5hYNe/d2lHyVZmPPtqKdvNwcq6plp +jdIs5KWtyr0+wsHtyO8hWvIsGPiJJbV/4iDyxK2lnbQfmgwET3zhoDEkQSVk +AQu8wRQrqykONOvClxMKLBjpkez3QiRuHA02W7aYhSftOboqiiTO/pXm1iqx +sPNamJy9MonY2fPabZRZGD/s8DtYjYTeuOpMJ235hdNd97VJjKaF2vSrsOCz +d2voP2tITHQ/jfqgxsKU0JzaXGcS1j9Pfbm6jN5voYRdmiuJ02Un5olosRCq +J9kT70aC08RjBtH+4ik14edNYr5pxFFDbRa4lbLLdfeSEJCfP8lYzsKy5vk1 +ioEk+Nn20tI6LPi/ltsgdYBEy2tWSSDtj4IKuydCSLwQz3FcrMtCv8eSKzUx +JCQ1vX0DV7Cw+ICi1o04EpuHpLfX0vaKX8rKPkmC0drWOUuPhVcVys9jkkkE +2Rcp59PuEtAQt8kkcd9/MLBxJQuSCzQvrblMoss/TEtoFQsOuss0ta6SUN3c +t92Gdpu7ttWc6yRm10dpPaTdVL4iqruShLL8pGW1Pgt/7uvNar5F4uKC4VIu +bYuelZlMBokZjdBTSqtZuPdXvzrrLoks4YGsf2lPyxngdB2JpodjHXdoG+sY +dkY1khgKFw8jaTPd1ozseEhCW/WpvJUBC/xA4yPObSTG48pkDtDWP2Ei+r8n +JKQv/TiWSbvyxlpV9W4SaZv2FwzT5jWa3ZJ7ScLy0f0dsw1ZWP5qnYVYL4np +4sl/dWmX/LHYNtJP4t1YiPpB2uz5oN4OkvhR9DnrDG215f+LePqBhM7u2iNl +tH0srYQb2SRigg+2ttDO22qdfosisXxFyYkB2oMB65Wv80hcEPpbPElbMdam +6sIYiZCD800ljVi4XGbbHvGVhJjpwDUj2r0Ndp77pkjMe9t+2Ja2/Et7jtcM +CffM91UetN24G8McfpF4vbrBzZ/2hd8OguZ/Sdgl/fQLpd0t63ReT4jCrBiT +wRjaUtqbliqLUnCaM7cpibaThXOFzGwKS40XzkmjfWbL5rVCEhQOKUzWZdGW +012w31CKgrJzi34O7RzhgRy/eRS+52Q8zKOt8a6wK1OOglofGXmddiURJNCm +QJtnYfefjc6tNpheTEHo1aI1/73f4D+9Z7kSBe+qn7hK29byfqa3KoXYIr99 +mbS7FiS2ndGgkPCnp/wcbY8vTjP1WhT+UXgufor2UNt83c86FKR9X588Sjsg +/+0O5ZUUrgUELdxPe/zo9VSX1RQcn0q0bad91DWgKd6IQu4Gi/MOtAV1VvEZ +JhTiiuIOm9BOEZpSZ5tR2NntGaRGW7a/3l3ekoLxY5vjErSzmSeTbK0oNBa0 +F/Pp/6V+1qH2iA2FsNQA8jXtSr95o2V2FJqeF1rU0Tay6FN860BBvON3eQ7t +evk8ZwlnCl3j03rHaW/47B9n7krh8XOFR9toe+R9Hc71pEBFdRhK/3c/jtyT +7/amENHnP5ui7+c+l3g7wV0U7FVXjdfTPiooXbHHj8LzW97ffWlf2aMTqh1C +wZ97uPcSXQ9q5hOF28IpHJEbMPahXS53tyflCIVOg4ySZf/VV+uGtWMxFL5V +fKquouvvndZuAUYKBcHfrUFFdL36CWgbDJ+jcD2Cb7KT9ljf5z1y6fT9cU6R +kaP9J/l4W+QlClJtUh+P0Xmg8ulS6roiCsKbv04b0nlR9nBX04FSCgYJQnID +dL6svqbJv1ZOQVul2PgUbWtnprtANYXpontpT+l88rvdpdjaQKFaoS1lA51f +peGiFc6vKVQmtej20Xn5LnUqfuNbCsdVJ6MDacvcoLxsBii4evyVmNGkz2Og +XcxsmEJJvRxflra9baqv5hcKb9NTWlar0/mpoLD4lxgXu7w0ly2h81rRYPbE +lDgX2cfF/NPofHdxmmmbkOTCzbB0SJj23bj+CEqWCxmrokSOIgunR/Kev1Di +QjT4V1oG3R+067STbxhz8TJ/3Dqb7i87ehb5FK3l4hw3T+arHAtpX+aY5Jlz +0ek+V86B9rT6GPuiNRdThcX3+LIsPD5b/b84Zy7iK/ceXynDQuAus2mPvVwY +7tx6YjPd/8oFnfaJZHHR5nViwojur3KDG0zHL3PR6GBg5PWLQOw9iL+7yoW1 ++3pm1E8CrmGGFczrXDj7avrXzBCYZi/+4lvFRRkVmbp0ioDd45HIBw+52HNz +fuVFup+zU5MSY79yIRI30ag7SMB5f7xn0BQXudallDw9P9y1O6btMcOFOqFo +/aefwFmB4Cd6f7mwcPyR0v6GgGGoh9TAnBEwfQ/vceghkOCumbVObQQuMiuo +bx0ElBVbiqddRlCc6fmXV0PgRV3CYg23EczauUIq9g6BxO3W5zd7jsC8vGFc +ikXPZ9kPjpbsHIFXTPwqHQaBxkVNjm5BI1jdm3zatpLALoWGiVsnRyAdq+C6 +IJ9ArmyNxb47I3CWn0yWTiSwhRHJuFA7Avm9ki47ThEQ22Ks1Vg/gmPIHihJ +oOeTdJaMfMsIrFRyN605QcBShhhufjYC/3/4kSZHCQzMrU5WGhnBtPVATjc9 +LyqKV/T0LOEhU6y6eqsjPV/yLn55osSDm93Xe9Eb6fmnI1a8SZWHpb1eHXl2 +BLJTt1iUa/Fg1nlYgL2ewEK5H0Wxhjy0v5Ul3MwJyCtvDNdy5GHq/S3h1ysI +SK2hZKOieZCYrvXdKUlAYLe6i+IbHoJSDO75tjJRLvpyrus7HmqiLPt6m5lw +K0/o+HeIB1HP3nT7JiZKv36w/cLhYZtGQq9GHRPOifkWzXweHps/utZ0m4mr +FUt1AyRHwZL4zj51lQnjKQUxAqMIVT4ebBnMxP4zkvWOJaMwzh49uE+aiaYQ +UsnhxihqC+6SEZJMLPBqirevHMXg9hfrEsTpdY1wuw2MUfg320dfFKbXG/tf +WDaOInpwYH3edwaaxstHVveOInN/IbVpiAE5j40KC8U+4b6QVZhUFQMNKomh +bP9PEJYWfSVvzUD8ev2KOtUxHD95cN4yz2o8NXXsOTY2hsT4lCs5Brfx5/LU +xuKKz4heoGER/LsKdztkb9dEfYGo/o2CbwsrwG9d5SSiNo4LEzGzvv8qxbHt +uf6748axyPm+c8lQEey9W78zyHEMevqayDhfx+lUo1VrbSfwQOJSi0z1VcSL +15cOFk7AdsUz3Z6nF9E49vPyUXE+fq/Wscx6lILgWadW2QXwkbxgVtlt4WOQ +XJt66nMgH8MxqRkW6dEoC7r8JnM/H8E7Zl+aVIrG+87Kk+xDfFgMhv/LNYuC +y8We1/ERfOQfiAnlhB+BvqpWXH0CH6n/3Nx+eSIMfLMn3auv8WFd58SuVQ1C +6oFXmm9y+bj4vJxhtjEQOrmD0XH5fAwsVFLRCwmAr+BXjWeFfEQWD0QHNe/F +y7YlUQfK+Si+cvCZT9AeEG4HVUtr+HCq32ejULANLolHIp1r+chco2etI+CF +TzXxHZP3+EjMsHC1/McDGkuyImwa+dBPtNkSorIVFz80tn94yAfL+Z106K6N +0J/frpT8iI9t3zO85HVt8dTmZZj+Yz6eOrr2vZmxhkgZtfREBx+bnA3TKtet +Rf6bidBlnXy8mXnitII0gLnEr7bOLj4CXn7zUdRZjj5zsaUR3XyQAYdHA1QX +IeKQTKjiCz7u7Cg5fjLU1PL/dIjsUw== "]]}, - Annotation[#, "Charting`Private`Tag$31756#1"]& ]}, {}}, + Annotation[#, "Charting`Private`Tag$41893#1"]& ]}, {}}, AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], Axes->{True, True}, AxesLabel->{None, None}, @@ -31343,8 +39851,8 @@ n1tgwYeX3d9i1vsNhv8Hf2D4lg== GridLines->{None, None}, GridLinesStyle->Directive[ GrayLevel[0.5, 0.4]], - ImagePadding->{{13.821428571428566`, 0.375}, {4.095234920676575, - 0.3749999999999858}}, + ImagePadding->{{13.932040756322637`, 5.794997059809248}, { + 4.266140145262625, 0.37499999999995737`}}, Method->{ "DefaultBoundaryStyle" -> Automatic, "DefaultGraphicsInteraction" -> { @@ -31364,143 +39872,135 @@ n1tgwYeX3d9i1vsNhv8Hf2D4lg== Part[#, 1]], (Identity[#]& )[ Part[#, 2]]}& )}}, - PlotRange->{{0, 1.08}, {0., 0.053323684564284844`}}, + PlotRange->{{0, 1.1762966830591175`}, {0., 0.08283433106302643}}, PlotRangeClipping->True, PlotRangePadding->{{ Scaled[0.02], Scaled[0.02]}, { Scaled[0.05], Scaled[0.05]}}, - Ticks->{Automatic, Automatic}], {141.9286855500029, -83.99219222082957}, - ImageScaled[{0.5, 0.5}], {265.82481139477585, 159.98512803967537}], + Ticks->{Automatic, Automatic}], {143.28107087591454, -83.15949095447374}, + ImageScaled[{0.5, 0.5}], {268.51253026974143, 158.39903038947378}], InsetBox[ GraphicsBox[{{{}, {}, TagBox[ {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[1.], LineBox[CompressedData[" -1:eJwV1nk8VN8bB/AJRQuJioSKvmXJUoRQj60iO6G0KLvI2mLJVkLIlt3MFaFM -QtaWaY5IsmWJyFIoM3cWQqVF8bu/+Wde79e985rzPOeczzk7nP1s3HhIJJLL -ChLp/9/Jba2p8VSHQ6T/fyoSaZcX6lgJdfuBdE5HLt3yKH2qvzjjVN1hIOGL -YnssPejGDprDv45aAWnnwTq2VihdykiSbVhnB6QF+fyfFnH0edUVf5JlTgGp -ISX2wf50+hehb3zTR88B6evJc41aeXSLm1NJ6UvOEPVA3fX8UCH96eLgRq06 -NyBdao0ftLhP3xnYTh7z9oSo6MUDTZGP6Mk4becNGW8gHT92I3V/Nf332cpy -uQ8XoVGJ50mIQD29mm0lwTzqD3pj6pfJWs/ozP+OfTxwLwCiWox9f7XQ6ZLn -DYuSlgJBL/nf/SNDL+lxg/sV9tVdhvE1ASpVFq10mojKTIzwVWgs2jH51rKd -Pm8uVz3oHQznSBb6tyK76KdfSWiHy4RBlajNOs/9ffT0ZdGl7vBrQGretlpZ -tJ/eqi3YJPMhHPTY5DP6Au/puUPLO78cjYKqxZZrllrDdPUrf2Nv/4iCcw5D -f0yCRulvRX/jGveigSTkoZnW8pHOZzlffmvpOsTnad/lGZqg+7Z8UVepuwl4 -h7YBWDDpAi4TWUPOsXCCV+IP9w1Ov0f6+CtaOA709ASt9CzZ9CGdQVq/dzxU -cd+4DUZM0w2r24xCZRJByzV9cUJ9nv7R8nWpbE8ieP7gre7a/o0ePN0k0BWe -BKrNh2mJIt/pFXK0zm0fbsO4WW1sBP8CPcnSgTp5NBVqbxr90NX8Q3fE7E41 -YKlA85G3fGq9SN89bbsu6Ucq6IqTPPgD/9KbEqx8999LAy0yNVz81RL9Z4vJ -vvildJinjv1YObgCOevqPlOqywS5uQdtaWb8iNYqpmQlmgUKQyakI+ICaLPt -t4LAgCyQOVvX5soUQO1e1JsNStlwrZC3eyJlDdqXLW6tX5oDOdGrqIOrhRDv -/Hfm8ex80OvaP9/TI4LOhvc4Xv2RD+ll/LBoLYqeCJR35dqSYZ9do9Zwvyjy -2eZS83E9BZAjfVX9p42o36w3wjMeg+jJtu7Pq8VQ37v3a+i0u5C41qBWsGor -isw1Murm3IXRhFL7cDNJtMepOnxcohCelZR8ucuWRLHs27M8IYVQEC2ezLtH -GmmvOPz+6P4iaOwq6sw7vx3dU64p7H10D+ocejbd3SGLLt1K0ZrCSmGYXXS4 -yUgenU17tDDYXgp/Xydgu+/LI5Pcjtr2hVIw5/uy69gaBSRdxr+3yuI+HDSk -PXjdp4DevImUD1u6D4vMykKyzx4kJeAvseFsGfi3SDfWNaug17FWf3WlyuEF -1fRIdaQaqkr2faZiUg67Da8dr6KpofyspGCZy+WgJegQvO6PGvIvffOdv6sc -krq/z3y8rI4kXutN9117BAOZ5WLcgP3Ib+Xej56jFdCTuXDoXpgmWtckcK69 -qwoE1ETqnAd00NWFne52n6ugbZJHplxSF00q6PuM/6qC8ynybpauuujJnZDg -BdnH8GSp6eS977rIxY2dKhP6GBQMXHyithxCzwQ6X4buqgYtXX6bldp6yMMy -RVYxsgbkJJoaJOsNUN+Nh/L1GTVgu6P1/slPBkj3SauKPrUGvHd7KDYLGCKR -HSRdh4EauE+vnNh62hDR5/2P31CsBbWNag2f+YzQxiybmyODtbAyDT/ffvYw -ahrdxExUrYfik6WcMTVjZHWu7Az7aD0wXp5Nv+tujD5+1u03dqqHzeVkjexc -Y/SH7fJyZXI9iIcmuW8nmaB9vx/nR3LqIYAawinsNkFFmyysgkobYMa/vfZM -sCm6YRH71FHyKZTf86/NmbVARo0LifICNBgNY+bGH7RFc66Tr35J0WA+TVhR -85Qtwla//deqRoMP/NLDi8G26KdNiZ+7Ew1O7txxq7XWFlGnbG3v1dNANGvV -tIfScSS89rGElNsLuD5aNdQuY4fG7LzLhJvoYLwmxmS1tAN6/sPv8+KLRlDA -lyw/251Cz/3erreubgaKvCd5Q48zuvirT2ok5zWM3KWv/ZjniX4Wj1wJN2+D -hJO49sViX8Tc//bjbd1OKHYki/lxA1El+1Va/e+38DWhV14g4wraNKgqmtDf -Az/rxVRyL4SilYrfv/iZ9MGAw+cCo6EINJF6YPR8yTuovH/6xZfcaDSLfxtO -kB4A/kn70GCRGHTCOPrY29T34GXvFr4qJxaVP039JMUehOFy3htufLeQmtSm -a8XnPsC+tnfyonWJqDR96yFN+jD8EN7Kd98gGZn9yeJfcWAUmMZv6iZiU5Gp -15T+VPkYLKzamT/ESEMa7LrCAf5PIGpf1ZKrdAdRK8JjlmAcfnyOC3RKzECq -ARPHcr6OQ4GSGkOoIxM5N1SYoPwJmC1E1y4sZqGKKxqd0faTILs1MSxAKwfN -Hoo83873GUZ5xQOWrXKRadT10IqXn0Gbpvj+m08esj38tWNb2Bd4us/coNk7 -H1mLSqmKyU3B8FbrZzV6ZORbSwtbqTgFwSdif20yIqMEu9Ot35SmQDZzhdaV -o2TUlJ1/tkdtCnJFqutVLchIXVLi9i2YggZT06zbp8ho839i7EX7Kfi+1+vX -1GUyGtXYUDx+cwrexWhuWFNGRp6OK8Wpn6fgppiN25QABT1Y/hrmzpgC5fcd -pilrKQgvHv4kw5oCiwzQ0RSiIK+vlffzZ4jncvf2RotS0IUYR83bv6fg8ElN -139SFORdUWnvv54BuUzpbVn7KMiXxzFTQ4cBpCnKsIEjBVXcN/o9f5ABzF5Z -tfLTFDRjpnKmUo8B+PrxYFEnCvLL5vtP7ggD7AbC3oy4UJD/nsraLdYMkB+h -OdlepKBAe77+v+4M+KY0XTYWSUGXqRUizekMGOwuvnHiHgW9+hH6MCCTATXr -ZXiDSihIRP+o0fYcBqwRuOyVeJ+CqgY/XQ6nMKDL3ZBZ95CCuHwbPmg+YICt -0vrUuRoKcnUKKih/wYCyfyHDPK8oyGaj1p4snAGj2tt84yYpqNCJr8WIw4AG -cvDuM18oaJbac+bbNAM2ez4uV2VQULK+V4rVNwaktZ8S62VRUJtv3vyaJQb4 -bHlj93OWgvTa/j6JFGWCkZXFk6ElClKJeHnY6xATAmzst7DEMeRcQzaz0WeC -7w6n8zkSGMrCr9rqGDGBjzo+aySJob82yucFjzHh60vGROY2DLXvzr/22I4J -Fub/TW/ehSHX3ks1v32I51oKjzP2YSh7ldWzST8mZBxw4oqpE+/rKL7sCGSC -k+u5Mzn7MbS3dOItJZgJxw0dRlO1MLQUasHWj2HC3Itl5XOHMJSzU25HQj4T -ZJrXKV81wVDHSV65IIwJ5s/Jel3HiPeTPyqfLmTCZhH5q9vNMOT2O0NX+T4T -3MXopnQLDO17u+JEXzUT/PxiggZtMdR1dSRZop0J7xTdmyLOYIj0qD6Tt4sJ -RTvMkkvPYkh9Mo3M7WbCI18dnw4nDOWZGVPpA0xwC6s9uc4ZQ5476lqcJ4h6 -S8JHLrhjiKcj+S/1FxNWdjuH5/pi6CRf3VbnRSZQCjn20X4Yqjo4or1liQkf -TDh33P0xdLZqd0gcLw4OwgXq8oEYep7Z+MNFCAdLa56fyZcxdOnc/IzkThya -8IqqkTCi3lxxof5dOJjFdtrkXsOQzLtDSonyOKTWZpgcD8dQz+FE79/KOOSu -9d3bFIEhJcWd+MABHOZfQ094NIYYP+wmki1xSJofDwmKxdBBlWukIzY4DHWv -+rkyDkMZnkXb/h3HweDI7NNMwgYjM2e8HXGQy7MSfBSPoYLGuOGjbjisMhHt -eZaAoYXfj34veeDAu0n2vGYihizU+sXrL+BwbjFY9THhvyXbHXb64/DotEYs -OQlDJxKfviOF4WAcVf7NOhlDla8+zTeE40BiFZ1+QnjV0koRvygcOvRO/d2a -gqE6fxursZs4VJSbjw4TXkcN9suIJ+q7XCKhkUqsr89YsmkiDhrZfxKTCYvY -czqfpuIQITfIq5mGIa+UDVz/OzhcuBomEEe48Y3mWrksHGLH7HX7CfvqxJhk -5eMgG89Rck/HUMslqqc5hsPx940sKmHJip44vkIchC1X9nIJd2yXeh1YigPj -kYi05x1ivEY2tq5lOPwUalQrJWzgETduV47D92Muc+OEIxJoF49W4qCi3Won -noGhZ4/m/mhV4yCdWu9kRnihZ1e8Qh0x/yOLguGE934/tUnyCQ6ZN887UQn7 -iKUVCT7HofrdY5t+wg+0X6ssv8ChfKqe8YfwlzOLtNlGHArqtSWkMzG0LVr1 -2GQzDr2S/NyDhB2L3QbfvcahqG3K0ZFwVmuea0sb0T+Tu25BhPvY3XP1nTic -4SOtvUVYUGhl5INuHBp035rkEzbeq70urw+HbOH+7VTCMcf9chMHcBAIGU6u -I9x4tXhX+BAOOseo6S8IL+Z9qPEdwSFGbZ1iE2ENupD+uY9EfeiNfTPhwAnD -t9YTOFjYPtj4knAFX8gpwy9EP1SDXJ4TZu2uwNWZOFAD5vSrCe80/Xx5FxsH -thCnooTwOV9xXvFpHPiGd5dlEianmaeunsXhQJSfynXCg7XXpRbnifV+65ae -N2GRoQYq9wfRP8eDI1aELRa5mh9/4aCw12ZpH+EEaZmW7kUc/tud8mAD4RZ9 -B5uXSzhk7H0+xCX6S3JL+lS9ggXx2ym3XxHWjX/pU8zHAp2CxZYcwsEPF35n -8rOApE6J8iJc81YxLm4NC+z1jGkahBU2ZRVeEGbB4dvvHr8m1oO7VofyaVEW -xAyB1y3ChadINPPNLMir6iIbExYvuvBeVZIFa+Jcg2jEejveUuAis40F27x+ -iQYQTsH7Z0VlWBBV0KwoQ3iVCqz9uZsFojobaSHEev7xXFTvhRoL3oXKHlwi -9ovqJ+OuCg0WZFr8upRF2IcnwvHuARZskZSXUCT8xRi/dANY0KBdcd+E2H99 -A7QyE1MWOKQ/LD9F7Feh33MaOhYsUDZ4vWeQ2M8mkrtf7bEmxud4QtiScKNz -2sf1DiwIpU3/VSPyoOKrm+h7ZxYYiMmY9BH5ISTGeJLpxoLSrpI0HcIXD7mf -tfNkgeDqwIeFRP7sue1e1n+RBZ2ygxauNzFUpuAB74JZYOcYpNV8HUMCNswv -6WEs2O07MiNC2DPEI8EmggX6J/x8nYg82/XGY6D3Bgs8Dde0zERiqNjN07sn -mQXp5+/UMIh85LuNC6emsaBocCJLkrBLrWe9ZQZRb5CWjiWRpzK8Xiu6c1ng -sZfdRA0h8u2uV3ZXMTEf8m8fa18h8n7kQnP7MxZYWFfKvSDy/A8PxzPhBQvE -vGcL6ReJfFfwFjrWyALJI2MdNB9i/kK8T7a1sKDVukCp8gKGMjf7fG3tYUG7 -JM86H+J8SLW+uLWFwYKrwb3mh4nzZjZ4ujGGxYJY5GO/4TSGLO9edDfisiDy -jM7yB0eif18vPm6eY8HfCiul8ycwlJTke7TpLwv+LHp8PEKcX3GtfkFIhA1J -05blvsZEnmT0mgdsYkNEiobT2qNEPjqrycmKs6Escaa5+DCG9P4tjMZKsUFD -iIl1GWDo176IIxZybBD6diPypy7RXyxpy9hBNtTxua9/qIqhY5fL0B9PNmx9 -YBCTsAlDTwzW5pV7s0HPx+HWc1Gi/8IXL531ZYPN+qrtrA3E+fdQVb4piA30 -a+o82kJE3o03pN+KYIPHxqeXqldhSNHstZt4Bhs+GA9o/VugoHWyn9dqIDZs -oyjqf+unoLPDtsdlmtjQThXpuNFHQY/TXpGFWthALUreJdxDQfakUiVmOxtO -RsiaS3ZQ0N0xT8uc92woMutU53lJQeo5M+l/pon/n1825y2noNOCf7YgSQ68 -OPCqoDeCuO+9uuD8cBsH1Lr1xz6EUdCKayPUbBkOUP1XNI8FU1Apm6bjL8eB -ma2i14cCiftUa+SZHeocqJMUoua6U1DM9ZWFN0w5cCH+TLiJOQU9/CksZxzK -AYGBT6vtxShIpqYzniecA3pvLfgFN1JQjm88ixbJgVLNWbFGYeL3U8vUvTc5 -UL432ldiDVHvuxmlrakcqKkc6Cv4S0bClZ1qMyUc0BFDcdxxMrriHg8ZvRxY -41QjHltKRtwdRnct+jlgJ73s/qKIjJzHlkmrBzmgdYBUOouRkeXxq03hoxwQ -bu6YO5ZNRnIG7oc9mBzQXpYpehtHRiNSRqba/zhw56ll4AZPMtIbWLYfl+PC -CcN/yuH/kVF+aPt/A4pcGP/eq9K/nYwWtmV+b1Pmgn+oiOEuSTJ6eEEhvUad -C1tk9PKfixD3eZJdV6weF5oy/+NQl/MRV4FqqHSCC13oVHfeUD7KjjquGhrH -hbyO0Xd1sfloRrFs9UYGF27RMktuvctDJ67aCS7iXOBa32bUdeWhl00rNkxy -uKATrCM81pqHMk46ilfNccF9hYW4JC0Pacet3W32jws2KkcGThfnoZuTF41i -Nk5DnvpkLzMoD0nm7ov8bjANWWOFJhLr85DJKtr3/oJpEL2z7FS8Pxe9t6sR -Tiiahs0TG3kWlXORawl1D5RMwyO3MpaZXC6KMMp1LaNOg/i6zphJiVxUe/1K -f3jdNIR9suvoX85B0suqtbs6pkGBtYnc/yYHzf8sCQpemIbg2rpTBxxyUB4r -ZX6r+Qz8SaQGO7hlI74j0peWBL6CoGiO6R7RTOT68KKAx5OvYG7gPSWbnI60 -jt25oLxvFjBn14GrwSnIdLFT5GrKLGjVXn9xODYefVD1eHWdMQttLs/4Ug5E -I5GBlAB+fBacCyNtt4pFI7OQJ9JJrFnwStAXzP4ehegvV4dkcmdBQOVgzenK -KFRkU670YJ6wc6rL9p1RyOfSXFbX0iwM3D9gvW5TBFpqCPMSF5uDTWO9eS6Z -IUjzdPFmivgcSLx5NGlsFoL8SV3NOyTmwFMoTWwdbwj6bCwtrSg1B7dW7VHc -4x+M3nxo7DsoOwcpw517+oyvorTFlbouKnOgvOqXauW3S6i9QJnFVJ2DpKfk -Yb8HlxCfkUOWz745sBNa91fwzCV0JenB7OX9c3ACuPGTLUHIUcq0JF5nDn4M -CvzjZAaiOy+DbAQPzoFO+qnsbJNA1OlGXk47NAe/cqp9t/8LQFAxfTJfnxj/ -DG9Dm0sACrbZzL/dcA4KHhtvYW8OQNULh2qLjeagt3pXPrPNH3HyPM7LH5kD -lesG+5uu+aOdkCpUcXQOgoP0xkNU/NH/APwUgwc= +1:eJwVlnk4VV0UxlGUIYmSTCU+CkWDck3L0IAiolQoUihFEQ1SpMxDZk0yZbon +ZMq8kCFEhkKFqIh7z710ldL4HX+d5/e879lnn73WfveWO+6x/yQPFxeXGTcX +1/xz805eVlXzYb2Tpbole8NpqOd26qnoo+1A2Mw5R1K8JebL+veZu6Gcv/7K +vgganti28urdKkuocomYio2k4cZMDaemTBu45WPWZBNNwx/LrE2nI+2hPGP6 +14MYGo5CRXJklSM8b7SLOxlPw2YfYyH5whOQt9IrPD+JhvTH/dfLM13gvNHS +T5fu0fD2J+cZszun4cfBRQ8aH9LQR2rW+WPkWdjZplIWk0l9L9fwrI7BOTC/ +tlttJJeGqTsElIKrzgNP9erFhQU0FB3pHunW8IISjQv63GU0vOV756504QVY +x/evv7eahqeL1gkXZV4EVcWb8n/aaThoNt3yW/YynK3o67N6RcN9k08Ddt+5 +AgIqIhMqQzTcumb3t8FIP5iszFvrME3DrCrhAqXF1+G46/Y91T9pGKHitpVm +4A/s5Txdd3i18F/zZnZgVQBkr3QjB6S1sDxefE/upRvgY744UGu9Fnoe/5nd +qREIfLtGvWS2aeGnP/WOqwpvgtMLvuMullrYutXydX5mMIQLKB8TjNLCGzwa +m185hkChal/ZxRQt1OmSiJ6TDYWGrMdOJwu0MN9txHjHnTBgeJEVjT1aGJ/u +Uf0mMhJeCfYYxq3WRrNzVqv+mUYBJ3rdRoGt2sint91HYXE0NKpquPKYaGP1 +mX9J2w1uQy68aPS5oI1qi1ssb1TFAENCm9ejWxuFpjS5VkjGwjRRtGd6Uhsn +XuflZ1+KhaQ+vjccHh1Mz4gS7NCIg/JQ9jPfbTq4HA42rSyMB/9+par7GTo4 +5z2m+TgzCXJVz6+RTNRFyealDlsFk+GI8LcWzwpd1BLXosqXDIvPBxk7Deni +lbKo1616dyD2040OQSU9/D273XN84C5w9i8tulKvh38vhtFXL0kBm1csURd+ +fZR9XtKT5ZUCa9TuVHSv1kc9ifdzG96mgHu9l07INn28Xr7FWCf7IahlS/UM +nNBH/6vunkRqKjyUUpRe3KSP3DUrl7ZqpQNTUEs8Jc4ARceIdCH3dLjJPcRq +yjfAtUsMt1mkpcPJFZGRtDYDNLQ/Y9+/KAPkFUJWL+QxxBt/6uhjrzJg1lHf +WdHbEBfonTbm8XgEsw1yGimnjJAXqwO0M3KgtfN7y77wndjJPeuyqjcHZHUZ +a6893onJO9TMv/PkgtXISif2y52o2pYmWXw8F9RtZSPjV+xC69dBxcpr8+AD +W9j+e8YuzGRajK1Ko0PnRtHIFR270VBizPhHSj60b25NzbEwRSFbWbW+znw4 +vComUMTXFPse2Kwo+ZsPR4skxCsfmeIp+bZRj6MFMB7yz7DnlykaJ9nUzAgX +gm4gBovT9+C5dJ2Dbp2FkKzyTIS1wgzryvlCjpgVgXlIjsRxYQvsdTu1p/tE +Ebg2bHympmSB47IvhI2vFoFLh+CItL4FLrkVk6BBLwKnOfqZA54WeMRSOkOE +vxg2SZ0pgQELnJncVNvcWAzf1TYu+5FriYpS9l8365TCQNyTI9MnrJDWiU9z +rUphq2K8Vl6AFe4NWOu7xq0UZIajTwWmWKHX58/cwndLofmiVGHcgBXWFXsu +nfxeCpl9erUq5tZ4eG+I8sPiMljkgl2acAAj/IodBFXKwVBfd22tpg1Om+4w +vL6jHOp+WvxQsLNBa4nX8jP25VCimOZTeN0GpYtnx9/eLodTzhonNVpskJig +nc2bLQfRnIi3szaHsMOq7rJJQwV8FB3OOOh/GIWVO2KDD1fBx108Fn6kLcb0 +jTcuCKmFTbvvR/5LdsD9T1pfNj6sBRlpp1WNjx1QNIJ4e+tpLfRvaHdJbnDA +eAPP6UWfa0Htg6LJOdIBk4k/UkK7EGr+3eIb0ndEC4MwmgBPHST9/vY4l3TE +QyvTbovW1cFikblMfgsndH3WqSev0wCPDl/fWrTTGTNPshwmvJrA6zNnc9zN +s5ij2xmeff852ASr+VkOeqJx/fSIYHQ7/GeqeGxu/UXkje77JVbfCacbdTfz +2lxF9YXXUx2GuyD7eYvkcLc/1r/z2l1i3QM8k8h1Jy0QHQ6Zdr9h9ML74Ro5 +eUYQduYZTHeffA3BX4VE6tTD0DRdknOPqx+WCWb9/jMbiXkl1j8+xA0Ar8Ea +r/tfbuPA/YK434Jv4cjf/ZceDMXicmVy2UTGOxAeTt5fLZiAqyNN/staMwRh +CfIBKspJqJkQIrWtZhjCzOd6joffQSm75eFy60egqKH0e8/Xexgw8HX/svER +eORvsDbcKAXdlXYJMYpGYa4+i8veNRWNRpVEVD0/wAcXUuzcgzQMXaeVSGz4 +COnny5P2daajjWHNEvG5jyAmOdTrK5GJQi1dLyfKPoFj8FTMOpNHaCx7IDDz +5hisHbNTehWehbM8AhUp5uNwaJ/+UFx1Nobv30fjEfwMvPYHr6a15mD2BV66 +ef9nKA/stD/Rn4t53HtdFiZOwFCrV8Gf8jxcPrxTczp5AqxbIuQ0q/PwWiXw +D96bgI446+JzmIeWXlvoxWkT8M/SQn2wKQ9/fJKcOv54Ar42+rve78nD3c8n +feobJyBVuzm+jpmHn6KCg67NTMDfPrHRSGk6rpZ+9uiHxSS0vM3dzrxIx56q +G5IK1pMgc2fGcugKHYNsDaP32UzCiWMbW1/40ZF9t/5Slv0kSFX2NGcE0rF2 +Vd0e69OTcH2XfuumaDoeXVnzpSBwEna2xOm8eETHFNGnui5lk/Dry+WDrC46 +7i/yKYqtmASh/2ytgnvpyLd/m1Jt9SSoHNX3kO2jo3tMqciKZ5PwhB9+G72j +o55IyceGl5PQzy+69cwYHYeWPAmVnZyEGW7B42pzdJTmp79+LcWAR/bOQ56y +BF5lxE+1yTJgeUhmd9AaAt+1X+Ovk2MAd73hkuS1BN6N2q+bp8SAbXyrrYsU +CZRY/jPz2hYGHKt8zmnaSOCK1SYXlPYwgMu1ic9Vj0Bhjc+il68wIMEqWTzC +lkB38W5Vdz8GmJz/9WKnPYEd3yt3Ofkz4KP5scTfRwmMqIy6YhbEgD6jWFvH +4wQK6G/7IBfLAL7tVwMWnSJw0Z5bT9pyGXDGjmht9CaQy1HeQvoNA1RE3z/9 +HkFgHm/vEstBBixqG/E6G0Wgdd6N9lvvGXAx3CzgfTSB2TOju6bGGNATxwku +jyXQPChVt4HDgER3NX69ZALv0WVUXIWYAO3O3AnpBO6w6Ji4v5QJvh5UzGcQ +yP56NatblAliPEFvFz4i0FBvUE57FRM2nztx6mQ2gRNddyWEFZkwkXD3xA86 +gdtmV/KVABPefImfdSohcORuy7MJQyZ8NF3TfKyUwFC4GCCziwn2nEMZNmUE +Dob0/Q7ay4Qt5rbXtMsJDJRKmDl8mAl2XK6+vVUEqtbteBJlx4R9m+X8CqoJ +7Dvx1f3ZMSZkjt3zDa4hUDnfiqHqzISmOEdnFSSwS1909J8nE36d4ys3bCDw +ylh9ylYfJniczjjxl2KFsPN2py4z4aeD9J/SZwRe7O3q77lO/R9706REE4Gy +ztGdjyKYYOU96vm4hcDnAhDxNpoJCgetjIyfE3i+gG2yNI4Ji0Ib2cMUN/4w +a7p0h1qPBlrnv1YC3cKFqvdkMWG7RsSFpS8IrDs/Lmuay4SQv09++FMsfqgu +wJhgQtGlDd3seV3hwu6dRUzgiFhcwg5KFzTPMyql6vE5wmhtJzXeF6UlhuVM +eDViahdAsXjtux69WibE5l/02PqS0jNLNXTrmZBd4uccQnFdWHSydiO13kZb +MgfmdRujo5ptTDgeNUSe7aJ0XZn6bR1MoK9w+1pEsbjCd3mNLiao173R/jqv +T+dNbuqjvncuKtCtm+rv/pt71d9Q8/vj7p9G8emaowUbB5lwtPZkWS/FdRma +ohveM8EhpE6ep4fyh4l6q3xgQpt7R7MqxafPkf3rx5iwpuHtAyuK6w42a62b +YMLdZduzfeb9uqkPFJlU/VU3jSbM++WvcP3HZkKjnITpE4qR39pJ/gsT+Hdo +jzynePn0hma5r0xoV2KkDc77+xatX/OdCX2PLkSS8/7q0XDZn0xQHVRO+zHv +z6hiS/9hwmI1+3dcvZQ/NMFSiosEblM7LV6K0cOjZNUCEiTlLlfP8/KDJisl ++EgY/7LQgYfiUzryV8T5SUjcYSn/ixqvdu2fweVCJMixChZOz4/P3w9iS0mw +FfLiGaX41FRh+jJREiSWsSQ75/2vw3hFVpCgV3Fu79N5f/UJV2EJEmZELRPu +z/vT9dqFpEio8Rud8Zv3h0hsFJQl4R7d29mWYjEPzm1+ORLU0x2ZWyl2PfBi +ZpECCWNVc/4C837trIN8SiQI5cb+N0jVQ2ytf8VCZRKEzwf051LsuviI9IIN +JAR7SSV4UVzL3nKdW52ES6fK7GjzetXnHX81SCDe7F5QQdW/Jq0++7cmCQei +mcOeFIuG3BP4pU3N5wmjZt28br2v67sBCRsbDl+f7zdR7fVbZneQ0DF2+ehm +il3lFiR+3U2CyMcDWgNUv4qyy2y/mJHQKJE1upJi11e3a6csSAjL6sh9QvV7 +TeVpObYVCQurVrruptg1WPYz4zAJB+9dq3Om9kfNmiDPTydJ2JB9v+hCG4HG +ra4ve11JMAicoE9T++3V+T2qz9xISDEdK3OlmNEgMp52noSv79t+7aX2p/jJ +e4eP+ZFQ8MRcfJza32lLrpWZ+5PglKTkaUixapmDmF4gCanLPHrvNlL5tkix +QzqUBNpX9VSg8sE9t1D/bTwJ0hfJ7YfrCJyzjHvQmkRC20R6fAKVNzd/ev8s +v0sCOKYzOmqp82KPdklSKgk3Hnte3UzlUzOrSekAQcLh0+pL2isIXL35nXDX +MxLKr4XHaRZR+f22xg2bSTDLrura8oTKz8DU5/mtJLxPNJlSLiRw76uTNyJf +kiA1ktgmlE/gJZ/pb6bvSAh/jl0puVTeVfIONXFIkDe73vvzIYG2ThO00m8k +hKTH+xSnEDgu2J6Y+YPqhxfER5cHBP62u20R+JeE/EgF8ca7BK77J9moL8AC +0+VLS0wSCAwwUqdXybFAJIodHxJK4MGCATpDgQWRYa+uvgum1ksqgFi1jgUz +l0IPrA+i8pjT/fjiRhaYbDDoKb1B5XG6V+EWbRb8DTRuifGl6sP1tJRuzYIe +X3Vx6zME5p45VvbWhgXio1HbD5wm8NrAoqf8tiy4IFG1wdKVmk/hoXIXRxbE +2GbE0E4Q6HfsZ6W8Owtuj3EtfkGdp4q1unX3glngs2aXxqwJgb/Wj9e1hbFA +y+XCQMZuaj0SournIlmwoz1eY+9OAn3Pvm+wiafej1izMlKf0qUDmsTSWDAS +NGTychuBl30b28IrWRC/R5rPmjrvX2juee3LYsGrn3afrL7R0WxcxvfCNAuM +zq+YC+HQsTNues3ZGRY4FD0wrZii40t2wpmjcyxwveX4UJBB3YcyRxYY8LJh +IrOP7TNMxwERn818MmwwvxCz1qWZjmMTqdG397JB9Km4QFYsHZ0TvTRC97FB +orr6lj51Hxo32vUuYD8bAtRbJfvC6TiRwlT0OsSGEZOFkZybdCStt9UeOMGG ++Nwh72kfOnLq2knJq2zQNO+/+u8wHf8mz5o8orMh8WhbpxN1X2vlj44bymdD +v9QmW34JOsZfURpaUcSGz/3nF+SK0VHZ7tC5oHI2WAYdyugToOOB1ZWJLk1s +oHvJL2T+yEPikd/H9e/ZEBb69cz33jy0LVroly86BYdqv11OvpWHivIPmsdX +TIHZtXLiun8eTsdpiKxeNQUBN98NO/jmYZC3c0b06imIiDupt+x8HhZpPm89 +pzoFHgWy/evt8lAAw8W37JqCW916Q7RNeVjeLlr49PIUbAn9Ytzdl4sVf4tn +Rq5OAeGWkCTanYuVmw5sF/Cfgpbwq0Lm7blYlZRUaxc0BebqXS7FmIu1TtId +3HFToLDKdnB7Ti4++/UfYw8xBTeUC28pXcrFThWawsjwFGSMZbekiuUip0lt +78K10zCrYvDoj2YOGvsn1PnJT8Nx72DtHZtzMEXr19bvCtNwZF0L3lLJQdOC +ZhmG0jRIfRSIn5PJwYxk+6mXG6YhzIp2OZMnB63dwmPv0aaBwVj7eFF7NpaJ +fB7YbDkNJr2TkosPZaOvbcpJR/9piAmOFlvtlIXGR5q+F41Pw965+4lHhTMx +JGqrGm3XFxje9avyQVIaBvBXZw9nfIG7zjLcrowHWMv6lXyJnwPbtxerfRtJ +Qo9FN9V2u3Jgn0KyMEs5FoVoUTfZpziQ2xInSiyLxZzTyW8S3DggRjw84vEj +Bkc6iMBP7hyotLRRWdAcgxbxr/sDvDlgFPCS18kxBtXllPyrb3CAfRMbZe7c +Ro5WW9emBxxwyGnPKZCMwqgzr/57k8IBda43OSWTkaicMnzFP5UDwh5mf1vL +I/E494zCywwOxC+QKVO0icTeFqnLZ/I4UBZPNBTER2CJ9Vm57KccGJdqjtMR +C0eLoIs+5hUc2PhPeaHLxzAknwa0f6vkgI6G0eqs4jBUkEr03lHLgb/i3t5O +1mEYP1rbOtpIcaZP7IfEUFQXa5UNbeZAXhKPeaVLKL7Y0eul/pwDs71yMzma +obgw57PM9XYOPPethRdvQzD1zRdPxQ7q/xZxrnITIagj+Lulo5MDg3tODZj7 +heCADp+Mdxc1HrP1QYl5CHq7i3hK93BA8q/Aqi1rQvB/W/LrzA== "]]}, - Annotation[#, "Charting`Private`Tag$31802#1"]& ]}, {}}, + Annotation[#, "Charting`Private`Tag$41939#1"]& ]}, {}}, AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], Axes->{True, True}, AxesLabel->{None, None}, @@ -31512,8 +40012,8 @@ lesG+5uu+aOdkCpUcXQOgoP0xkNU/NH/APwUgwc= GridLines->{None, None}, GridLinesStyle->Directive[ GrayLevel[0.5, 0.4]], - ImagePadding->{{23.148596938775505`, 0.37500000000005684`}, { - 4.095234920676575, 0.3749999999999858}}, + ImagePadding->{{18.392400184785576`, 5.797921554493428}, { + 4.266140145262625, 0.37499999999995737`}}, Method->{ "DefaultBoundaryStyle" -> Automatic, "DefaultGraphicsInteraction" -> { @@ -31533,39 +40033,215 @@ lesG+5uu+aOdkCpUcXQOgoP0xkNU/NH/APwUgwc= Part[#, 1]], (Identity[#]& )[ Part[#, 2]]}& )}}, - PlotRange->{{0, 1.08}, {-0.029868175670514443`, 0.}}, + PlotRange->{{0, 1.1762966830591175`}, {-0.05629747319886942, 0.}}, PlotRangeClipping->True, PlotRangePadding->{{ Scaled[0.02], Scaled[0.02]}, { Scaled[0.05], Scaled[0.05]}}, - Ticks->{Automatic, Automatic}], {430.4496408336822, -83.99219222082957}, - ImageScaled[{0.5, 0.5}], {275.15197976212283, 159.98512803967537}]}, {}}, + Ticks->{Automatic, Automatic}], {432.0748545893172, -83.15949095447374}, + ImageScaled[{0.5, 0.5}], {272.9758141928886, 158.39903038947378}]}, {}}, + ImageSize->{ UpTo[540], UpTo[167]}, - PlotRange->{{0, 577.0419105673586}, {-167.98438444165913`, 0}}, + PlotRange->{{0, 577.5875674268053}, {-166.31898190894748`, 0}}, PlotRangePadding->{6, 5}]], "Output", CellChangeTimes->{ - 3.8175673122534857`*^9, {3.8175674402281427`*^9, 3.817567489380693*^9}, - 3.817567520221552*^9, 3.817567705671341*^9, 3.817567793079455*^9, - 3.817567857173483*^9, 3.817569690002346*^9, {3.817581574147563*^9, - 3.81758158515839*^9}, 3.817582270590219*^9, {3.817582390618846*^9, - 3.817582400806323*^9}, 3.817582450685178*^9, 3.817582634245347*^9, - 3.817582776393298*^9, {3.817582962930173*^9, 3.817582972201144*^9}, { - 3.8175830310073977`*^9, 3.81758319355462*^9}, 3.817584882023147*^9, - 3.81758498666595*^9, 3.817585045390573*^9, 3.817585149785573*^9, - 3.817585439738227*^9, 3.817585525878573*^9, 3.817585585204454*^9, { - 3.8176137655148363`*^9, 3.817613774145886*^9}, 3.8176139295702887`*^9, - 3.8176141329700117`*^9, {3.817616943087964*^9, 3.817616969451852*^9}, - 3.8176192172908077`*^9, 3.81761927371955*^9, 3.817619365966529*^9, - 3.817619480892799*^9, {3.817619523373876*^9, 3.817619547918648*^9}, { - 3.817627771060638*^9, 3.817627777110018*^9}, {3.817627809877636*^9, - 3.8176278273754797`*^9}, {3.818233162732749*^9, 3.818233167025798*^9}, - 3.825761121944708*^9, 3.825763280318947*^9, 3.82576410771815*^9}, + 3.826008397009801*^9, 3.826008507422884*^9, 3.826008595888225*^9, + 3.826008841294518*^9, {3.826009294082121*^9, 3.82600931820925*^9}, + 3.8260094317201977`*^9, {3.826009845996776*^9, 3.826009866844253*^9}, + 3.826010410373127*^9, 3.826010781773375*^9}, CellLabel-> - "Out[473]=",ExpressionUUID->"067d7877-3b5c-43b0-8b99-62c5b588ad74"] + "Out[395]=",ExpressionUUID->"047cfbb9-7bc7-4793-b25b-33d1e4b54f0f"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ListLogPlot", "[", + RowBox[{ + RowBox[{"Abs", "[", + RowBox[{"gC", "/@", + RowBox[{"Range", "[", "9", "]"}]}], "]"}], "/.", "sol9"}], + "]"}]], "Input", + CellChangeTimes->{{3.826009882778199*^9, 3.826009909473987*^9}, { + 3.82601038610747*^9, 3.826010386218685*^9}, {3.826010726001519*^9, + 3.826010730593286*^9}}, + CellLabel-> + "In[394]:=",ExpressionUUID->"a88f2391-1bc9-4d7a-b773-d4641b529a92"], + +Cell[BoxData[ + GraphicsBox[{{}, + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.012833333333333334`], + AbsoluteThickness[1.6], + PointBox[{{1., -2.1074230457683076`}, {2., -6.75556787347994}, { + 3., -1.244965817680946}, {4., -0.7460909786167774}, { + 5., -0.8355387600078827}, {6., -1.5400260728562418`}, { + 7., -2.864573816281352}, {8., -5.052558002649983}}]}, {{}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0., -7.2258435444638565`}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + Method->{ + "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& )}}, + PlotRange->{{0., 8}, {-7.2258435444638565`, -0.7460909786167774}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{Automatic, + Charting`ScaledTicks[{Log, Exp}]}, {Automatic, {{-6.907755278982137, + FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {-5.298317366548036, + FormBox[ + TagBox[ + InterpretationBox[ + StyleBox["\"0.005\"", ShowStringCharacters -> False], 0.005, + AutoDelete -> True], NumberForm[#, { + DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, + 0.}}, {-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox[ + StyleBox["\"0.010\"", ShowStringCharacters -> False], 0.01, + AutoDelete -> True], NumberForm[#, { + DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, + 0.}}, {-2.995732273553991, + FormBox[ + TagBox[ + InterpretationBox[ + StyleBox["\"0.050\"", ShowStringCharacters -> False], 0.05, + AutoDelete -> True], NumberForm[#, { + DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, + 0.}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox[ + StyleBox["\"0.100\"", ShowStringCharacters -> False], 0.1, + AutoDelete -> True], NumberForm[#, { + DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, + 0.}}, {-0.6931471805599453, + FormBox[ + TagBox[ + InterpretationBox[ + StyleBox["\"0.500\"", ShowStringCharacters -> False], 0.5, + AutoDelete -> True], NumberForm[#, { + DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, + 0.}}, {-7.600902459542082, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.418580902748128, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.264430222920869, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.1308988302963465`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.013115794639964, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-6.214608098422191, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.809142990314028, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.521460917862246, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.115995809754082, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.961845129926823, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.8283137373023015`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.710530701645918, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.912023005428146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.506557897319982, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.2188758248682006`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.8134107167600364`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.659260036932778, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.5257286443082556`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.4079456086518722`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.6094379124341003`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.2039728043259361`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.916290731874155, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.5108256237659907, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.35667494393873245`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.2231435513142097, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.10536051565782628`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {0., + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 0.4054651081081644, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 0.6931471805599453, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 0.9162907318741551, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}}]]], "Output", + CellChangeTimes->{{3.826009892380425*^9, 3.826009909783967*^9}, + 3.8260103866019573`*^9, {3.826010727302334*^9, 3.826010730917804*^9}}, + CellLabel-> + "Out[394]=",ExpressionUUID->"900bc96d-749d-4402-b6fc-1bde2c834df4"] }, Open ]], Cell[CellGroupData[{ @@ -45884,8 +54560,8 @@ Ixn6sD9rCf0P/KIjtA== }, Open ]] }, Open ]] }, -WindowSize->{1341, 1062}, -WindowMargins->{{Automatic, 1.5}, {1.5, Automatic}}, +WindowSize->{637.5, 1062.}, +WindowMargins->{{1.5, Automatic}, {1.5, Automatic}}, FrontEndVersion->"12.2 for Linux x86 (64-bit) (December 12, 2020)", StyleDefinitions->"Default.nb", ExpressionUUID->"6f6c570c-dfc0-4320-bdc7-0f1de62bb24c" @@ -45901,199 +54577,335 @@ CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ -Cell[558, 20, 419, 7, 24, "Input",ExpressionUUID->"e595a667-7f25-4f98-9f12-a321a236d113"], +Cell[558, 20, 423, 8, 24, "Input",ExpressionUUID->"e595a667-7f25-4f98-9f12-a321a236d113"], +Cell[CellGroupData[{ +Cell[1006, 32, 156, 3, 50, "Section",ExpressionUUID->"bb531fce-8a9d-4a5f-8d6a-ec66b9fbf698"], +Cell[1165, 37, 3945, 61, 55, "Input",ExpressionUUID->"c239eacb-bd0a-49ce-8667-3aa72e4020c9"], +Cell[CellGroupData[{ +Cell[5135, 102, 5378, 82, 22, "Input",ExpressionUUID->"3d566693-1b4e-4bc5-b33b-b8036e1e4822"], +Cell[10516, 186, 415, 10, 18, "Message",ExpressionUUID->"1c182b96-c1c8-47e1-acd1-78c085fad78c"], +Cell[10934, 198, 8220, 119, 25, "Output",ExpressionUUID->"83666f30-49e7-43b4-80f6-e48366afbcad"] +}, Open ]], +Cell[CellGroupData[{ +Cell[19191, 322, 2035, 41, 71, "Input",ExpressionUUID->"d41a0bd7-fcf9-49ad-ab2c-6c1fb49d80e4"], +Cell[21229, 365, 489, 11, 18, "Message",ExpressionUUID->"ced7d64b-20bc-42c3-b577-c706eee45834"], +Cell[21721, 378, 27227, 477, 138, "Output",ExpressionUUID->"f1a29def-c507-49d5-a1eb-e27b3b7aa51f"] +}, Open ]], +Cell[CellGroupData[{ +Cell[48985, 860, 3062, 65, 157, "Input",ExpressionUUID->"6c557c5e-e6b4-4351-9c51-9653ebaa3755"], +Cell[52050, 927, 20173, 446, 138, "Output",ExpressionUUID->"550ffdb4-dbe3-4db6-a510-a3a6be0895b7"] +}, Open ]], +Cell[72238, 1376, 3616, 56, 55, "Input",ExpressionUUID->"4dc1af41-4bef-447e-a233-c8c033887359"], +Cell[CellGroupData[{ +Cell[75879, 1436, 6455, 93, 22, "Input",ExpressionUUID->"e74b775a-c745-4f15-9b63-7bb00af5a487"], +Cell[82337, 1531, 2836, 47, 42, "Output",ExpressionUUID->"c721f549-2817-44bb-ac54-1cce625d65af"] +}, Open ]], +Cell[CellGroupData[{ +Cell[85210, 1583, 2121, 44, 87, "Input",ExpressionUUID->"fb42dfa6-f948-472b-87e8-e4cb6e90ba26"], +Cell[87334, 1629, 19440, 364, 103, "Output",ExpressionUUID->"780abf21-a6d3-46d2-b547-fd3404f56c38"] +}, Open ]], +Cell[CellGroupData[{ +Cell[106811, 1998, 3105, 66, 157, "Input",ExpressionUUID->"82d96d28-401c-43fa-8337-b55bfd500552"], +Cell[109919, 2066, 10411, 229, 138, "Output",ExpressionUUID->"6f2f5da5-4600-4a92-85ae-cca01fb533fd"] +}, Open ]], +Cell[120345, 2298, 3056, 49, 55, "Input",ExpressionUUID->"172fdee0-af8e-4049-9dda-cfec26fad09c"], +Cell[CellGroupData[{ +Cell[123426, 2351, 5575, 82, 22, "Input",ExpressionUUID->"0ea1b44d-26c0-49ba-8c54-6d51b749dcee"], +Cell[129004, 2435, 2989, 50, 42, "Output",ExpressionUUID->"56c18def-f4e2-417e-9122-970061230305"] +}, Open ]], +Cell[CellGroupData[{ +Cell[132030, 2490, 2116, 46, 87, "Input",ExpressionUUID->"324ac29a-a49d-4e6b-a8d8-b259afcd34c7"], +Cell[134149, 2538, 12026, 243, 106, "Output",ExpressionUUID->"c649f99a-b980-4714-acb5-e71ec36d8280"] +}, Open ]], +Cell[CellGroupData[{ +Cell[146212, 2786, 2165, 57, 141, "Input",ExpressionUUID->"d85908e0-a479-4a49-999f-e6e49522af2d"], +Cell[148380, 2845, 12666, 283, 138, "Output",ExpressionUUID->"a6d1a118-756f-4ed0-a86e-9a8b80b25962"] +}, Open ]], +Cell[161061, 3131, 3104, 49, 55, "Input",ExpressionUUID->"4fbf2b0a-5252-416a-b90a-a12f6d946efe"], +Cell[CellGroupData[{ +Cell[164190, 3184, 6118, 89, 22, "Input",ExpressionUUID->"5ac27342-feda-4aa6-9098-1d0e7b78fae8"], +Cell[170311, 3275, 4561, 76, 58, "Output",ExpressionUUID->"27f02b30-ca65-47fc-b569-1f1337edbf82"] +}, Open ]], +Cell[CellGroupData[{ +Cell[174909, 3356, 1882, 39, 71, "Input",ExpressionUUID->"63fcec7c-aaff-46be-90dc-231bca0993d9"], +Cell[176794, 3397, 9607, 189, 138, "Output",ExpressionUUID->"3b47183d-06e0-43b9-8604-0d92f4111d12"] +}, Open ]], +Cell[CellGroupData[{ +Cell[186438, 3591, 2181, 56, 141, "Input",ExpressionUUID->"8f2cfc94-a67c-484e-bbeb-610484e18a97"], +Cell[188622, 3649, 13768, 305, 138, "Output",ExpressionUUID->"9909fce1-573c-4c13-ad95-5009778e65ae"] +}, Open ]], +Cell[202405, 3957, 3159, 50, 55, "Input",ExpressionUUID->"59993536-91f3-449a-9e8c-58cd1f6ec74c"], +Cell[CellGroupData[{ +Cell[205589, 4011, 6174, 90, 22, "Input",ExpressionUUID->"ab599d2d-27ef-4491-b1cb-534f98403e59"], +Cell[211766, 4103, 4887, 84, 58, "Output",ExpressionUUID->"5791ce89-84da-4042-b894-b02baf536b37"] +}, Open ]], +Cell[CellGroupData[{ +Cell[216690, 4192, 1882, 39, 71, "Input",ExpressionUUID->"f9bd15f0-d859-4863-9fe9-3ad2883e76d2"], +Cell[218575, 4233, 9557, 188, 138, "Output",ExpressionUUID->"27a9c152-8a0d-4899-aa74-6a603c9665b9"] +}, Open ]], +Cell[228147, 4424, 2869, 47, 55, "Input",ExpressionUUID->"1282028e-7a8e-46e3-bc91-b35b1d1604ed"], +Cell[CellGroupData[{ +Cell[231041, 4475, 5473, 80, 22, "Input",ExpressionUUID->"83c6d43c-fed0-4989-a06f-986a75bf7651"], +Cell[236517, 4557, 649, 13, 29, "Message",ExpressionUUID->"f850765e-bd6e-4983-ab5b-d0a4594f5e4f"], +Cell[237169, 4572, 3284, 67, 76, "Output",ExpressionUUID->"867e56b6-68c5-449e-9999-5d28dbd56383"] +}, Open ]], +Cell[CellGroupData[{ +Cell[240490, 4644, 1852, 38, 71, "Input",ExpressionUUID->"9903c113-3088-4e43-884e-783e3462a3bd"], +Cell[242345, 4684, 17127, 315, 136, "Output",ExpressionUUID->"ace4a267-d48c-4a17-8b21-0b8791f1d4a8"] +}, Open ]], +Cell[CellGroupData[{ +Cell[259509, 5004, 482, 11, 22, "Input",ExpressionUUID->"85ae5ebd-4d7b-469b-b177-bd88ef9a9e54"], +Cell[259994, 5017, 9927, 243, 178, "Output",ExpressionUUID->"392555db-33d5-4e50-8a31-e2a3a67d3a75"] +}, Open ]], +Cell[269936, 5263, 2967, 48, 55, "Input",ExpressionUUID->"d0ac4c0e-3fde-4f39-860c-119c61865e94"], +Cell[CellGroupData[{ +Cell[272928, 5315, 5720, 84, 24, "Input",ExpressionUUID->"31b6196c-dff7-4ae3-ba24-930461af4520"], +Cell[278651, 5401, 771, 15, 29, "Message",ExpressionUUID->"7df3f521-17b3-470c-a210-7a61feecd5cb"], +Cell[279425, 5418, 4257, 83, 76, "Output",ExpressionUUID->"ea8fe62a-dd49-4054-b383-0738f0b8f82f"] +}, Open ]], +Cell[CellGroupData[{ +Cell[283719, 5506, 1796, 36, 71, "Input",ExpressionUUID->"c89d4fc8-2254-4238-b27d-107fefc31da5"], +Cell[285518, 5544, 17264, 316, 136, "Output",ExpressionUUID->"d1455115-bd06-4d75-a8b5-99c39d1e90d7"] +}, Open ]], +Cell[CellGroupData[{ +Cell[302819, 5865, 874, 23, 22, "Input",ExpressionUUID->"d7824482-d74e-4fac-8224-3728d7d92b24"], +Cell[303696, 5890, 3739, 89, 178, "Output",ExpressionUUID->"ad65c8a7-66e9-4c1e-b599-35bacb78e113"] +}, Open ]], +Cell[CellGroupData[{ +Cell[307472, 5984, 549, 15, 22, "Input",ExpressionUUID->"93164c6e-f8e2-4fb1-ab0b-a65d379b88ef"], +Cell[308024, 6001, 234, 5, 25, "Output",ExpressionUUID->"db3875cf-f19f-4e24-a7e4-c4017292b8fe"] +}, Open ]], +Cell[CellGroupData[{ +Cell[308295, 6011, 262, 6, 22, "Input",ExpressionUUID->"40b90456-e65f-4936-94f0-aa9e157985d1"], +Cell[308560, 6019, 1039, 29, 51, "Output",ExpressionUUID->"e84b103a-4734-481c-bc68-32680f2490ae"] +}, Open ]], +Cell[CellGroupData[{ +Cell[309636, 6053, 1085, 28, 24, "Input",ExpressionUUID->"802f97e2-70b5-4c0e-b977-f8a2e505bb60"], +Cell[310724, 6083, 74312, 1240, 77, "Output",ExpressionUUID->"13540836-8492-44db-8f61-825c10092a3b"] +}, Open ]], +Cell[CellGroupData[{ +Cell[385073, 7328, 1597, 44, 40, "Input",ExpressionUUID->"9510d7f0-79c6-409e-9c06-caac79aa83b9"], +Cell[386673, 7374, 487, 11, 18, "Message",ExpressionUUID->"b9cd98f1-c229-4f5b-95ec-13d954ebd59a"], +Cell[387163, 7387, 490, 11, 18, "Message",ExpressionUUID->"ea96e00a-9fe6-4d33-80b4-d0a9eed78731"], +Cell[387656, 7400, 488, 11, 18, "Message",ExpressionUUID->"a31115cb-de8f-481d-994b-5bc9a83710b8"], +Cell[388147, 7413, 457, 10, 18, "Message",ExpressionUUID->"667a685e-0e76-4db4-8986-9eaad489f3e3"] +}, Open ]], +Cell[CellGroupData[{ +Cell[388641, 7428, 1243, 25, 24, "Input",ExpressionUUID->"4c6fe8ab-4f6a-4b57-92a5-c94e403d041d"], +Cell[389887, 7455, 257598, 4238, 182, "Output",ExpressionUUID->"11addea4-5f17-44f9-80f6-b7d15dd56efa"] +}, Open ]], +Cell[647500, 11696, 2861, 70, 41, "Input",ExpressionUUID->"bc84d748-2ae9-4f3e-87ec-0fa12dfd6954"], +Cell[CellGroupData[{ +Cell[650386, 11770, 4876, 115, 75, "Input",ExpressionUUID->"c099f9b5-a706-4293-9c42-f007146a13f7"], +Cell[655265, 11887, 372, 9, 32, "Message",ExpressionUUID->"94a73904-550c-43cf-8d0b-35b5cbc01228"], +Cell[655640, 11898, 414, 10, 19, "Message",ExpressionUUID->"3f893d05-e641-4bf4-9ea5-bcabdc4d6a95"], +Cell[656057, 11910, 374, 9, 32, "Message",ExpressionUUID->"53b27a41-4cd2-4652-a104-35161ad96bf2"], +Cell[656434, 11921, 372, 9, 32, "Message",ExpressionUUID->"413977e9-0c84-449f-b053-9df53b50e738"], +Cell[656809, 11932, 449, 10, 18, "Message",ExpressionUUID->"d499cd59-07fb-492e-b9f7-1ddddfebb272"], +Cell[657261, 11944, 412, 10, 19, "Message",ExpressionUUID->"395175e1-6469-49cf-a376-9be005af7add"], +Cell[657676, 11956, 412, 10, 19, "Message",ExpressionUUID->"8f65301b-fe48-42b3-9924-e0e8e3bea608"], +Cell[658091, 11968, 454, 10, 18, "Message",ExpressionUUID->"6d1c81df-b866-4446-8abe-657a6a8d929f"] +}, Open ]], +Cell[CellGroupData[{ +Cell[658582, 11983, 390, 10, 22, "Input",ExpressionUUID->"a66d45ff-8000-4c96-bcb2-2bc7343fd5de"], +Cell[658975, 11995, 230, 4, 305, "Output",ExpressionUUID->"5364b922-5bbc-4121-ab23-dc5bb4bec4cb"] +}, Open ]], +Cell[CellGroupData[{ +Cell[659242, 12004, 2250, 58, 59, "Input",ExpressionUUID->"8e0288f2-5922-4dde-923e-8106073adf6c"], +Cell[661495, 12064, 1066745, 23056, 352, "Output",ExpressionUUID->"c6c9c8e8-7cb0-4ad0-a6c6-fb0a70db55da"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1728277, 35125, 1775, 44, 24, "Input",ExpressionUUID->"4355674b-0fd6-4516-8896-cd33a8476ab5"], +Cell[1730055, 35171, 376, 5, 25, "Output",ExpressionUUID->"b8a18520-7b45-49b0-af16-64f6d0a9c819"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1730468, 35181, 427, 10, 24, "Input",ExpressionUUID->"ee6beea5-4d88-4650-837d-58c8d3c6363b"], +Cell[1730898, 35193, 18847, 324, 179, "Output",ExpressionUUID->"a27bcc82-f8f9-42d8-854c-a204a73d483f"] +}, Open ]], +Cell[1749760, 35520, 3136, 79, 41, "Input",ExpressionUUID->"5894652c-ea9c-458f-866d-b40d1a5efb75"], Cell[CellGroupData[{ -Cell[1002, 31, 156, 3, 50, "Section",ExpressionUUID->"bb531fce-8a9d-4a5f-8d6a-ec66b9fbf698"], -Cell[1161, 36, 1871, 33, 55, "Input",ExpressionUUID->"c239eacb-bd0a-49ce-8667-3aa72e4020c9"], -Cell[3035, 71, 2371, 34, 22, "Input",ExpressionUUID->"b0293560-4bfa-4de2-84b0-335927f7dbea"], +Cell[1752921, 35603, 592, 13, 24, "Input",ExpressionUUID->"3fee7ec2-e0c4-4420-8192-c46efe85e265"], +Cell[1753516, 35618, 5889, 112, 178, "Output",ExpressionUUID->"2bfc8e2b-006d-4096-8c4b-8422da967dcb"] +}, Open ]], +Cell[1759420, 35733, 4130, 102, 75, "Input",ExpressionUUID->"16683f20-3a25-47da-8c9c-58bfb1a56ae7"], Cell[CellGroupData[{ -Cell[5431, 109, 3458, 64, 24, "Input",ExpressionUUID->"3d566693-1b4e-4bc5-b33b-b8036e1e4822"], -Cell[8892, 175, 4601, 74, 25, "Output",ExpressionUUID->"6a66e6a0-91bc-4c05-9585-7fd8fde00881"] +Cell[1763575, 35839, 1495, 23, 24, "Input",ExpressionUUID->"0c28b27c-3e81-49ce-9293-512f19f95aeb"], +Cell[1765073, 35864, 6141, 116, 180, "Output",ExpressionUUID->"a225487e-1b09-4625-b1b4-0393225de258"] }, Open ]], +Cell[1771229, 35983, 2010, 35, 55, "Input",ExpressionUUID->"78606265-f50f-49dc-888d-33550f059b83"], Cell[CellGroupData[{ -Cell[13530, 254, 1401, 28, 22, "Input",ExpressionUUID->"a4f082dc-c86b-4fae-a5ca-c1981cd9d9cf"], -Cell[14934, 284, 590, 13, 18, "Message",ExpressionUUID->"cf9578aa-366c-48cc-bb36-0941b2af75c2"], -Cell[15527, 299, 14465, 253, 179, "Output",ExpressionUUID->"a26a160d-4d12-4697-bbb8-336fc2d122d6"] +Cell[1773264, 36022, 4151, 62, 22, "Input",ExpressionUUID->"396a3ca5-637b-4194-943d-7ec379bcf47e"], +Cell[1777418, 36086, 2707, 49, 25, "Output",ExpressionUUID->"032de8e5-e62b-4c2c-a2db-afe60e4c0f47"] }, Open ]], -Cell[30007, 555, 2050, 36, 55, "Input",ExpressionUUID->"4dc1af41-4bef-447e-a233-c8c033887359"], Cell[CellGroupData[{ -Cell[32082, 595, 5383, 97, 41, "Input",ExpressionUUID->"e74b775a-c745-4f15-9b63-7bb00af5a487"], -Cell[37468, 694, 1064, 27, 25, "Output",ExpressionUUID->"486e10ea-c283-406b-a107-3b4f8a565879"] +Cell[1780162, 36140, 1600, 34, 71, "Input",ExpressionUUID->"050da7fc-1308-4d49-81b4-1f4efc54c09a"], +Cell[1781765, 36176, 17028, 313, 136, "Output",ExpressionUUID->"5c8a355d-e522-4c74-8a53-b7d46e9c333f"] }, Open ]], +Cell[1798808, 36492, 2110, 37, 55, "Input",ExpressionUUID->"37ec5e26-c9a1-4c3e-b046-f5bdcb69b8db"], Cell[CellGroupData[{ -Cell[38569, 726, 1736, 38, 71, "Input",ExpressionUUID->"48ef1564-45f8-4d3a-b3bc-835e87c4b434"], -Cell[40308, 766, 826, 16, 18, "Message",ExpressionUUID->"7bb7d7a9-5cae-47ef-b670-10317a058f55"], -Cell[41137, 784, 27895, 488, 138, "Output",ExpressionUUID->"add111e7-71cc-467e-9820-599f10d14528"] +Cell[1800943, 36533, 4183, 60, 22, "Input",ExpressionUUID->"aafc8bea-bd59-4ab7-b436-168abec75b4d"], +Cell[1805129, 36595, 2082, 30, 25, "Output",ExpressionUUID->"823a15e6-d4d4-45cf-b711-54e7c88841d0"] }, Open ]], Cell[CellGroupData[{ -Cell[69069, 1277, 1085, 28, 24, "Input",ExpressionUUID->"802f97e2-70b5-4c0e-b977-f8a2e505bb60"], -Cell[70157, 1307, 74312, 1240, 77, "Output",ExpressionUUID->"13540836-8492-44db-8f61-825c10092a3b"] +Cell[1807248, 36630, 1650, 35, 71, "Input",ExpressionUUID->"d90b515e-65bf-42c5-a9d8-7ebc27861a0a"], +Cell[1808901, 36667, 20490, 372, 135, "Output",ExpressionUUID->"674ddf51-ef87-4ea3-981c-9bca8b07e0de"] }, Open ]], +Cell[1829406, 37042, 2205, 38, 55, "Input",ExpressionUUID->"74c29eca-8a3c-482d-b962-b5a7bc6eeeb5"], Cell[CellGroupData[{ -Cell[144506, 2552, 1621, 44, 40, "Input",ExpressionUUID->"9510d7f0-79c6-409e-9c06-caac79aa83b9"], -Cell[146130, 2598, 558, 12, 18, "Message",ExpressionUUID->"fe75665a-a91b-4812-9030-29950d98adb2"], -Cell[146691, 2612, 559, 12, 18, "Message",ExpressionUUID->"58e0a5ad-eeea-4143-a08d-fb54fe6ebba3"], -Cell[147253, 2626, 558, 12, 18, "Message",ExpressionUUID->"59272a22-6940-438a-800e-5503202b4803"], -Cell[147814, 2640, 525, 11, 18, "Message",ExpressionUUID->"1e29dc80-5173-4165-a235-b6a37303c499"] +Cell[1831636, 37084, 6088, 119, 41, "Input",ExpressionUUID->"4f2555c0-0b0b-46e3-953c-b99c2d8ef953"], +Cell[1837727, 37205, 3154, 60, 27, "Output",ExpressionUUID->"7ba637ff-c37f-4ab3-8f3f-c3a013477573"] }, Open ]], Cell[CellGroupData[{ -Cell[148376, 2656, 1239, 24, 24, "Input",ExpressionUUID->"4c6fe8ab-4f6a-4b57-92a5-c94e403d041d"], -Cell[149618, 2682, 245035, 4032, 182, "Output",ExpressionUUID->"c4e1303c-8b0e-4dbb-b0fa-408ffa6b6520"] +Cell[1840918, 37270, 1700, 36, 71, "Input",ExpressionUUID->"11bfaed8-b616-4bdb-acee-d6f652a0a4e6"], +Cell[1842621, 37308, 16873, 311, 136, "Output",ExpressionUUID->"9d9174e8-24e3-40da-860e-87b1062d7e14"] }, Open ]], -Cell[394668, 6717, 2861, 70, 41, "Input",ExpressionUUID->"bc84d748-2ae9-4f3e-87ec-0fa12dfd6954"], +Cell[1859509, 37622, 2257, 39, 55, "Input",ExpressionUUID->"da646d41-2935-4f0b-94a9-796be9875f10"], Cell[CellGroupData[{ -Cell[397554, 6791, 4876, 115, 75, "Input",ExpressionUUID->"c099f9b5-a706-4293-9c42-f007146a13f7"], -Cell[402433, 6908, 372, 9, 32, "Message",ExpressionUUID->"94a73904-550c-43cf-8d0b-35b5cbc01228"], -Cell[402808, 6919, 414, 10, 19, "Message",ExpressionUUID->"3f893d05-e641-4bf4-9ea5-bcabdc4d6a95"], -Cell[403225, 6931, 374, 9, 32, "Message",ExpressionUUID->"53b27a41-4cd2-4652-a104-35161ad96bf2"], -Cell[403602, 6942, 372, 9, 32, "Message",ExpressionUUID->"413977e9-0c84-449f-b053-9df53b50e738"], -Cell[403977, 6953, 449, 10, 18, "Message",ExpressionUUID->"d499cd59-07fb-492e-b9f7-1ddddfebb272"], -Cell[404429, 6965, 412, 10, 19, "Message",ExpressionUUID->"395175e1-6469-49cf-a376-9be005af7add"], -Cell[404844, 6977, 412, 10, 19, "Message",ExpressionUUID->"8f65301b-fe48-42b3-9924-e0e8e3bea608"], -Cell[405259, 6989, 454, 10, 18, "Message",ExpressionUUID->"6d1c81df-b866-4446-8abe-657a6a8d929f"] +Cell[1861791, 37665, 6220, 122, 41, "Input",ExpressionUUID->"bd584363-7bad-4830-803a-025a2ac0e9a6"], +Cell[1868014, 37789, 3291, 62, 27, "Output",ExpressionUUID->"83698929-f178-4c4d-9569-7a23e1e9c919"] }, Open ]], Cell[CellGroupData[{ -Cell[405750, 7004, 390, 10, 22, "Input",ExpressionUUID->"a66d45ff-8000-4c96-bcb2-2bc7343fd5de"], -Cell[406143, 7016, 230, 4, 305, "Output",ExpressionUUID->"5364b922-5bbc-4121-ab23-dc5bb4bec4cb"] +Cell[1871342, 37856, 1746, 36, 71, "Input",ExpressionUUID->"f7b18b38-4aa7-4d26-8653-c5282fb8bc07"], +Cell[1873091, 37894, 17143, 317, 136, "Output",ExpressionUUID->"aeb5446a-db30-4b37-a075-fd0875fea03f"] }, Open ]], +Cell[1890249, 38214, 2305, 39, 55, "Input",ExpressionUUID->"6dd58649-2ccd-4fad-b61e-e6b84d8dc37c"], Cell[CellGroupData[{ -Cell[406410, 7025, 2250, 58, 59, "Input",ExpressionUUID->"8e0288f2-5922-4dde-923e-8106073adf6c"], -Cell[408663, 7085, 1066745, 23056, 352, "Output",ExpressionUUID->"c6c9c8e8-7cb0-4ad0-a6c6-fb0a70db55da"] +Cell[1892579, 38257, 6753, 136, 41, "Input",ExpressionUUID->"47d19cd0-5c7e-4d2e-8522-f7af9f76b03d"], +Cell[1899335, 38395, 3674, 69, 44, "Output",ExpressionUUID->"e4c2258c-d675-43b1-8eb8-1a175227c843"] }, Open ]], Cell[CellGroupData[{ -Cell[1475445, 30146, 1775, 44, 24, "Input",ExpressionUUID->"4355674b-0fd6-4516-8896-cd33a8476ab5"], -Cell[1477223, 30192, 376, 5, 25, "Output",ExpressionUUID->"b8a18520-7b45-49b0-af16-64f6d0a9c819"] +Cell[1903046, 38469, 1798, 37, 71, "Input",ExpressionUUID->"e5291fe9-0a5c-4396-ac44-47a5f71d5568"], +Cell[1904847, 38508, 17131, 315, 134, "Output",ExpressionUUID->"f761d7d5-04c8-40b2-a937-6fac9575aeda"] }, Open ]], +Cell[1921993, 38826, 2356, 40, 55, "Input",ExpressionUUID->"034d75ed-4e94-4dfa-b0b5-fb25cd2d30d3"], Cell[CellGroupData[{ -Cell[1477636, 30202, 427, 10, 24, "Input",ExpressionUUID->"ee6beea5-4d88-4650-837d-58c8d3c6363b"], -Cell[1478066, 30214, 18847, 324, 179, "Output",ExpressionUUID->"a27bcc82-f8f9-42d8-854c-a204a73d483f"] +Cell[1924374, 38870, 6967, 140, 41, "Input",ExpressionUUID->"939e0991-1a33-48bb-8325-c6afb708b1bf"], +Cell[1931344, 39012, 3893, 74, 42, "Output",ExpressionUUID->"07c46e6f-b409-4e46-91c4-1f8deedd3b7c"] }, Open ]], -Cell[1496928, 30541, 3136, 79, 41, "Input",ExpressionUUID->"5894652c-ea9c-458f-866d-b40d1a5efb75"], Cell[CellGroupData[{ -Cell[1500089, 30624, 592, 13, 24, "Input",ExpressionUUID->"3fee7ec2-e0c4-4420-8192-c46efe85e265"], -Cell[1500684, 30639, 5889, 112, 178, "Output",ExpressionUUID->"2bfc8e2b-006d-4096-8c4b-8422da967dcb"] +Cell[1935274, 39091, 1848, 38, 71, "Input",ExpressionUUID->"41fa3464-11f7-47db-b9f4-c04a234b3967"], +Cell[1937125, 39131, 17640, 324, 136, "Output",ExpressionUUID->"e6ece27a-240d-4388-ae6d-863762fb16fc"] }, Open ]], -Cell[1506588, 30754, 4130, 102, 75, "Input",ExpressionUUID->"16683f20-3a25-47da-8c9c-58bfb1a56ae7"], +Cell[1954780, 39458, 2409, 41, 55, "Input",ExpressionUUID->"5f4959b4-0631-460c-894f-e078cc08f6c0"], Cell[CellGroupData[{ -Cell[1510743, 30860, 1495, 23, 24, "Input",ExpressionUUID->"0c28b27c-3e81-49ce-9293-512f19f95aeb"], -Cell[1512241, 30885, 6141, 116, 180, "Output",ExpressionUUID->"a225487e-1b09-4625-b1b4-0393225de258"] +Cell[1957214, 39503, 7710, 160, 57, "Input",ExpressionUUID->"42dd11c3-40d8-4229-9f2b-ea33c98a4a3d"], +Cell[1964927, 39665, 2581, 37, 25, "Output",ExpressionUUID->"d656f635-4cba-4947-8345-8861516ad400"] }, Open ]], -Cell[1518397, 31004, 1914, 34, 55, "Input",ExpressionUUID->"78606265-f50f-49dc-888d-33550f059b83"], Cell[CellGroupData[{ -Cell[1520336, 31042, 5324, 102, 41, "Input",ExpressionUUID->"396a3ca5-637b-4194-943d-7ec379bcf47e"], -Cell[1525663, 31146, 2678, 50, 25, "Output",ExpressionUUID->"0f0bf755-902b-438c-885e-66abfcfbd74e"] +Cell[1967545, 39707, 1894, 38, 71, "Input",ExpressionUUID->"3b92c534-fe03-4b93-bce9-3935e73cd50a"], +Cell[1969442, 39747, 16747, 309, 133, "Output",ExpressionUUID->"047cfbb9-7bc7-4793-b25b-33d1e4b54f0f"] }, Open ]], Cell[CellGroupData[{ -Cell[1528378, 31201, 1655, 36, 71, "Input",ExpressionUUID->"050da7fc-1308-4d49-81b4-1f4efc54c09a"], -Cell[1530036, 31239, 18067, 328, 135, "Output",ExpressionUUID->"067d7877-3b5c-43b0-8b99-62c5b588ad74"] +Cell[1986226, 40061, 433, 11, 22, "Input",ExpressionUUID->"a88f2391-1bc9-4d7a-b773-d4641b529a92"], +Cell[1986662, 40074, 6817, 169, 177, "Output",ExpressionUUID->"900bc96d-749d-4402-b6fc-1bde2c834df4"] }, Open ]], Cell[CellGroupData[{ -Cell[1548140, 31572, 1672, 45, 40, "Input",ExpressionUUID->"c2d3e68e-6754-4848-ad45-4d3a81a85373"], -Cell[1549815, 31619, 511, 11, 18, "Message",ExpressionUUID->"7042c19d-9eb1-4c6c-b9ba-e11ecd2dad61"], -Cell[1550329, 31632, 511, 11, 18, "Message",ExpressionUUID->"e96fc95a-7476-4cfa-9b6e-023e5f08ec84"], -Cell[1550843, 31645, 513, 11, 18, "Message",ExpressionUUID->"697e339d-fa4d-4453-8541-d603f6be5ebf"], -Cell[1551359, 31658, 478, 10, 18, "Message",ExpressionUUID->"a383bd1a-c1d9-49e6-a3ce-876ea12c3de9"] +Cell[1993516, 40248, 1672, 45, 40, "Input",ExpressionUUID->"c2d3e68e-6754-4848-ad45-4d3a81a85373"], +Cell[1995191, 40295, 511, 11, 18, "Message",ExpressionUUID->"7042c19d-9eb1-4c6c-b9ba-e11ecd2dad61"], +Cell[1995705, 40308, 511, 11, 18, "Message",ExpressionUUID->"e96fc95a-7476-4cfa-9b6e-023e5f08ec84"], +Cell[1996219, 40321, 513, 11, 18, "Message",ExpressionUUID->"697e339d-fa4d-4453-8541-d603f6be5ebf"], +Cell[1996735, 40334, 478, 10, 18, "Message",ExpressionUUID->"a383bd1a-c1d9-49e6-a3ce-876ea12c3de9"] }, Open ]], -Cell[1551852, 31671, 3187, 80, 41, "Input",ExpressionUUID->"7baff68f-40db-4778-a165-a239cf88cc8b"], -Cell[1555042, 31753, 4180, 103, 75, "Input",ExpressionUUID->"54ea4ab2-b182-41d0-bc24-6dda493e24b7"], -Cell[1559225, 31858, 5400, 131, 109, "Input",ExpressionUUID->"b233f772-ebe4-4d6e-82dc-3e50dc9f4a60"], +Cell[1997228, 40347, 3187, 80, 41, "Input",ExpressionUUID->"7baff68f-40db-4778-a165-a239cf88cc8b"], +Cell[2000418, 40429, 4180, 103, 75, "Input",ExpressionUUID->"54ea4ab2-b182-41d0-bc24-6dda493e24b7"], +Cell[2004601, 40534, 5400, 131, 109, "Input",ExpressionUUID->"b233f772-ebe4-4d6e-82dc-3e50dc9f4a60"], Cell[CellGroupData[{ -Cell[1564650, 31993, 1359, 27, 24, "Input",ExpressionUUID->"326e1381-0fb5-48b8-8b67-86eb59a8de43"], -Cell[1566012, 32022, 488773, 8032, 182, "Output",ExpressionUUID->"ffcf6638-e41b-4dc3-a888-cbc1ddb5bd70"] +Cell[2010026, 40669, 1359, 27, 24, "Input",ExpressionUUID->"326e1381-0fb5-48b8-8b67-86eb59a8de43"], +Cell[2011388, 40698, 488773, 8032, 182, "Output",ExpressionUUID->"ffcf6638-e41b-4dc3-a888-cbc1ddb5bd70"] }, Open ]], Cell[CellGroupData[{ -Cell[2054822, 40059, 663, 15, 24, "Input",ExpressionUUID->"a93f2c6c-20d9-4e76-bf4e-d83eb645bfe2"], -Cell[2055488, 40076, 10088, 182, 178, "Output",ExpressionUUID->"e009ecd9-f064-498f-9713-a517c7738512"] +Cell[2500198, 48735, 663, 15, 24, "Input",ExpressionUUID->"a93f2c6c-20d9-4e76-bf4e-d83eb645bfe2"], +Cell[2500864, 48752, 10088, 182, 178, "Output",ExpressionUUID->"e009ecd9-f064-498f-9713-a517c7738512"] }, Open ]], Cell[CellGroupData[{ -Cell[2065613, 40263, 1607, 25, 24, "Input",ExpressionUUID->"355b7a05-dc53-48b3-a074-381cbbaeac81"], -Cell[2067223, 40290, 27041, 593, 178, "Output",ExpressionUUID->"c021a3f3-a988-4ee0-849b-500241e51534"] +Cell[2510989, 48939, 1607, 25, 24, "Input",ExpressionUUID->"355b7a05-dc53-48b3-a074-381cbbaeac81"], +Cell[2512599, 48966, 27041, 593, 178, "Output",ExpressionUUID->"c021a3f3-a988-4ee0-849b-500241e51534"] }, Open ]], -Cell[2094279, 40886, 1994, 35, 55, "Input",ExpressionUUID->"a727ff31-abf9-4fbc-b1ba-5e10e05cc6ba"], +Cell[2539655, 49562, 1994, 35, 55, "Input",ExpressionUUID->"a727ff31-abf9-4fbc-b1ba-5e10e05cc6ba"], Cell[CellGroupData[{ -Cell[2096298, 40925, 6104, 123, 41, "Input",ExpressionUUID->"e698d719-72a9-4ac8-adc0-f3dc6de33b29"], -Cell[2102405, 41050, 599, 12, 18, "Message",ExpressionUUID->"66d8969a-eb54-4408-9ca1-e26797128b2e"], -Cell[2103007, 41064, 3201, 61, 44, "Output",ExpressionUUID->"c2ede9a0-b94f-4b1e-a656-779f19255c39"] +Cell[2541674, 49601, 6104, 123, 105, "Input",ExpressionUUID->"e698d719-72a9-4ac8-adc0-f3dc6de33b29"], +Cell[2547781, 49726, 599, 12, 29, "Message",ExpressionUUID->"66d8969a-eb54-4408-9ca1-e26797128b2e"], +Cell[2548383, 49740, 3201, 61, 60, "Output",ExpressionUUID->"c2ede9a0-b94f-4b1e-a656-779f19255c39"] }, Open ]], Cell[CellGroupData[{ -Cell[2106245, 41130, 1705, 36, 71, "Input",ExpressionUUID->"cf4b5c4b-339f-4dee-887e-9827e8e84f6a"], -Cell[2107953, 41168, 18192, 331, 135, "Output",ExpressionUUID->"59a5f5ab-6f64-4857-9cc3-85e34ce96d47"] +Cell[2551621, 49806, 1705, 36, 71, "Input",ExpressionUUID->"cf4b5c4b-339f-4dee-887e-9827e8e84f6a"], +Cell[2553329, 49844, 18192, 331, 135, "Output",ExpressionUUID->"59a5f5ab-6f64-4857-9cc3-85e34ce96d47"] }, Open ]], Cell[CellGroupData[{ -Cell[2126182, 41504, 336, 9, 22, "Input",ExpressionUUID->"284ac71a-7465-46b2-a883-7d04bfed7c1a"], -Cell[2126521, 41515, 5691, 143, 177, "Output",ExpressionUUID->"8b218d9d-8ae6-4b3f-a0aa-21817c81ea81"] +Cell[2571558, 50180, 336, 9, 22, "Input",ExpressionUUID->"284ac71a-7465-46b2-a883-7d04bfed7c1a"], +Cell[2571897, 50191, 5691, 143, 177, "Output",ExpressionUUID->"8b218d9d-8ae6-4b3f-a0aa-21817c81ea81"] }, Open ]], -Cell[2132227, 41661, 2089, 36, 55, "Input",ExpressionUUID->"7b4489a6-2b9b-4fa0-b010-a2b21dfcde45"], +Cell[2577603, 50337, 2089, 36, 55, "Input",ExpressionUUID->"7b4489a6-2b9b-4fa0-b010-a2b21dfcde45"], Cell[CellGroupData[{ -Cell[2134341, 41701, 6598, 135, 41, "Input",ExpressionUUID->"3bcb2734-3eb2-49b0-9f9e-04e4c7a4fa3a"], -Cell[2140942, 41838, 3462, 68, 44, "Output",ExpressionUUID->"babae66a-342f-4778-9bda-49d5d95c0e25"] +Cell[2579717, 50377, 6598, 135, 41, "Input",ExpressionUUID->"3bcb2734-3eb2-49b0-9f9e-04e4c7a4fa3a"], +Cell[2586318, 50514, 3462, 68, 44, "Output",ExpressionUUID->"babae66a-342f-4778-9bda-49d5d95c0e25"] }, Open ]], Cell[CellGroupData[{ -Cell[2144441, 41911, 1755, 37, 71, "Input",ExpressionUUID->"0e6a979b-40f1-49c5-87f2-c038673fb15e"], -Cell[2146199, 41950, 17980, 327, 135, "Output",ExpressionUUID->"067ae380-8bbe-4d24-910a-2d72ea259077"] +Cell[2589817, 50587, 1755, 37, 71, "Input",ExpressionUUID->"0e6a979b-40f1-49c5-87f2-c038673fb15e"], +Cell[2591575, 50626, 17980, 327, 135, "Output",ExpressionUUID->"067ae380-8bbe-4d24-910a-2d72ea259077"] }, Open ]], Cell[CellGroupData[{ -Cell[2164216, 42282, 384, 10, 22, "Input",ExpressionUUID->"a0ce8c43-76ba-466b-b075-393a38369f3e"], -Cell[2164603, 42294, 5952, 149, 177, "Output",ExpressionUUID->"efcd0ede-5fe0-410c-85a7-f2cb4a37d0c4"] +Cell[2609592, 50958, 384, 10, 22, "Input",ExpressionUUID->"a0ce8c43-76ba-466b-b075-393a38369f3e"], +Cell[2609979, 50970, 5952, 149, 177, "Output",ExpressionUUID->"efcd0ede-5fe0-410c-85a7-f2cb4a37d0c4"] }, Open ]], -Cell[2170570, 42446, 2143, 37, 55, "Input",ExpressionUUID->"64ac9234-6e5e-4a0a-889d-9a4d2d9e49eb"], +Cell[2615946, 51122, 2143, 37, 55, "Input",ExpressionUUID->"64ac9234-6e5e-4a0a-889d-9a4d2d9e49eb"], Cell[CellGroupData[{ -Cell[2172738, 42487, 7704, 168, 57, "Input",ExpressionUUID->"d5ce1c93-2d50-4d5c-a1f8-53932ea334e0"], -Cell[2180445, 42657, 3873, 76, 44, "Output",ExpressionUUID->"55d1b86b-6c0e-4346-b514-6a32ca6f4162"] +Cell[2618114, 51163, 7704, 168, 57, "Input",ExpressionUUID->"d5ce1c93-2d50-4d5c-a1f8-53932ea334e0"], +Cell[2625821, 51333, 3873, 76, 44, "Output",ExpressionUUID->"55d1b86b-6c0e-4346-b514-6a32ca6f4162"] }, Open ]], Cell[CellGroupData[{ -Cell[2184355, 42738, 1805, 38, 71, "Input",ExpressionUUID->"4639fe6e-d305-44c1-81c3-afb4e380c88d"], -Cell[2186163, 42778, 17885, 326, 136, "Output",ExpressionUUID->"ee73d4b7-147b-4902-9021-472fa1cbd2dd"] +Cell[2629731, 51414, 1805, 38, 71, "Input",ExpressionUUID->"4639fe6e-d305-44c1-81c3-afb4e380c88d"], +Cell[2631539, 51454, 17885, 326, 136, "Output",ExpressionUUID->"ee73d4b7-147b-4902-9021-472fa1cbd2dd"] }, Open ]], Cell[CellGroupData[{ -Cell[2204085, 43109, 434, 11, 22, "Input",ExpressionUUID->"487c1f18-3c65-4275-b382-bd34678bb77b"], -Cell[2204522, 43122, 5661, 140, 180, "Output",ExpressionUUID->"98313969-c467-4d0e-84c2-9301e7354fd8"] +Cell[2649461, 51785, 434, 11, 22, "Input",ExpressionUUID->"487c1f18-3c65-4275-b382-bd34678bb77b"], +Cell[2649898, 51798, 5661, 140, 180, "Output",ExpressionUUID->"98313969-c467-4d0e-84c2-9301e7354fd8"] }, Open ]], -Cell[2210198, 43265, 2143, 37, 55, "Input",ExpressionUUID->"f984095d-d7b8-42c0-84b6-f249f7191889"], +Cell[2655574, 51941, 2143, 37, 55, "Input",ExpressionUUID->"f984095d-d7b8-42c0-84b6-f249f7191889"], Cell[CellGroupData[{ -Cell[2212366, 43306, 7833, 169, 57, "Input",ExpressionUUID->"eb772438-6d55-4597-94c4-e8e4c8a28dea"], -Cell[2220202, 43477, 2018, 33, 19, "Message",ExpressionUUID->"15e11a28-3910-4175-baec-32f60966f167"], -Cell[2222223, 43512, 4286, 85, 44, "Output",ExpressionUUID->"dc1d0e6d-dbfc-4101-8f2b-a45c3ce40dc1"] +Cell[2657742, 51982, 7833, 169, 57, "Input",ExpressionUUID->"eb772438-6d55-4597-94c4-e8e4c8a28dea"], +Cell[2665578, 52153, 2018, 33, 19, "Message",ExpressionUUID->"15e11a28-3910-4175-baec-32f60966f167"], +Cell[2667599, 52188, 4286, 85, 44, "Output",ExpressionUUID->"dc1d0e6d-dbfc-4101-8f2b-a45c3ce40dc1"] }, Open ]], Cell[CellGroupData[{ -Cell[2226546, 43602, 1853, 38, 71, "Input",ExpressionUUID->"6f764f4a-8e60-4ade-81f6-342ce8502e9b"], -Cell[2228402, 43642, 17826, 324, 138, "Output",ExpressionUUID->"073b197f-bc4b-40a2-a232-0cc8f06d961e"] +Cell[2671922, 52278, 1853, 38, 71, "Input",ExpressionUUID->"6f764f4a-8e60-4ade-81f6-342ce8502e9b"], +Cell[2673778, 52318, 17826, 324, 138, "Output",ExpressionUUID->"073b197f-bc4b-40a2-a232-0cc8f06d961e"] }, Open ]], Cell[CellGroupData[{ -Cell[2246265, 43971, 480, 11, 22, "Input",ExpressionUUID->"afe99e33-748e-47f2-ba2a-c0c57008e3ff"], -Cell[2246748, 43984, 7596, 187, 177, "Output",ExpressionUUID->"76d79e7a-9d2d-45b3-bb8a-8f918994420a"] +Cell[2691641, 52647, 480, 11, 22, "Input",ExpressionUUID->"afe99e33-748e-47f2-ba2a-c0c57008e3ff"], +Cell[2692124, 52660, 7596, 187, 177, "Output",ExpressionUUID->"76d79e7a-9d2d-45b3-bb8a-8f918994420a"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[2254393, 44177, 165, 3, 50, "Section",ExpressionUUID->"747c9bc3-63ef-45c3-af83-bc456177b1c8"], -Cell[2254561, 44182, 800, 21, 40, "Input",ExpressionUUID->"ebc19a92-5a4d-4254-8fad-8cadbfa1bd32"], +Cell[2699769, 52853, 165, 3, 50, "Section",ExpressionUUID->"747c9bc3-63ef-45c3-af83-bc456177b1c8"], +Cell[2699937, 52858, 800, 21, 40, "Input",ExpressionUUID->"ebc19a92-5a4d-4254-8fad-8cadbfa1bd32"], Cell[CellGroupData[{ -Cell[2255386, 44207, 886, 24, 24, "Input",ExpressionUUID->"f224ec13-7431-41d4-919e-0ad10e8ff5b2"], -Cell[2256275, 44233, 299, 6, 25, "Output",ExpressionUUID->"5043975f-bf54-4984-bf97-09e0c59f4acf"] +Cell[2700762, 52883, 886, 24, 24, "Input",ExpressionUUID->"f224ec13-7431-41d4-919e-0ad10e8ff5b2"], +Cell[2701651, 52909, 299, 6, 25, "Output",ExpressionUUID->"5043975f-bf54-4984-bf97-09e0c59f4acf"] }, Open ]], Cell[CellGroupData[{ -Cell[2256611, 44244, 1529, 43, 24, "Input",ExpressionUUID->"bdb2aaf8-6c60-4fd6-b0aa-d74503ebfe5d"], -Cell[2258143, 44289, 216, 4, 39, "Output",ExpressionUUID->"672f3cb6-b559-424b-b6e9-dff18bdab931"] +Cell[2701987, 52920, 1529, 43, 24, "Input",ExpressionUUID->"bdb2aaf8-6c60-4fd6-b0aa-d74503ebfe5d"], +Cell[2703519, 52965, 216, 4, 39, "Output",ExpressionUUID->"672f3cb6-b559-424b-b6e9-dff18bdab931"] }, Open ]], Cell[CellGroupData[{ -Cell[2258396, 44298, 2328, 62, 24, "Input",ExpressionUUID->"9581e610-c27e-4ccd-9de0-7344556f685a"], -Cell[2260727, 44362, 584, 12, 18, "Message",ExpressionUUID->"926f5636-f494-4b80-9e0f-998a05d07881"], -Cell[2261314, 44376, 420, 8, 25, "Output",ExpressionUUID->"3c60fc73-ad7e-4b33-a3eb-fdc35776a150"] +Cell[2703772, 52974, 2328, 62, 24, "Input",ExpressionUUID->"9581e610-c27e-4ccd-9de0-7344556f685a"], +Cell[2706103, 53038, 584, 12, 18, "Message",ExpressionUUID->"926f5636-f494-4b80-9e0f-998a05d07881"], +Cell[2706690, 53052, 420, 8, 25, "Output",ExpressionUUID->"3c60fc73-ad7e-4b33-a3eb-fdc35776a150"] }, Open ]], -Cell[2261749, 44387, 1234, 32, 24, "Input",ExpressionUUID->"3a793a2c-1a2c-433a-873f-55e7861acacf"], +Cell[2707125, 53063, 1234, 32, 24, "Input",ExpressionUUID->"3a793a2c-1a2c-433a-873f-55e7861acacf"], Cell[CellGroupData[{ -Cell[2263008, 44423, 379, 9, 24, "Input",ExpressionUUID->"6a4616ab-41e4-44cc-8806-ee9851e65934"], -Cell[2263390, 44434, 21750, 374, 177, "Output",ExpressionUUID->"7ae541cc-49f0-4346-9e8f-3995505a8e9f"] +Cell[2708384, 53099, 379, 9, 24, "Input",ExpressionUUID->"6a4616ab-41e4-44cc-8806-ee9851e65934"], +Cell[2708766, 53110, 21750, 374, 177, "Output",ExpressionUUID->"7ae541cc-49f0-4346-9e8f-3995505a8e9f"] }, Open ]], -Cell[2285155, 44811, 2535, 66, 24, "Input",ExpressionUUID->"02eee1a8-8fdf-4ef6-8fa3-737b3067106e"], +Cell[2730531, 53487, 2535, 66, 24, "Input",ExpressionUUID->"02eee1a8-8fdf-4ef6-8fa3-737b3067106e"], Cell[CellGroupData[{ -Cell[2287715, 44881, 491, 10, 24, "Input",ExpressionUUID->"8858ddfc-1e71-4778-a0b8-512abba3d901"], -Cell[2288209, 44893, 22737, 390, 179, "Output",ExpressionUUID->"3a7e88f8-603a-4c66-8a1b-065c43aff3cd"] +Cell[2733091, 53557, 491, 10, 24, "Input",ExpressionUUID->"8858ddfc-1e71-4778-a0b8-512abba3d901"], +Cell[2733585, 53569, 22737, 390, 179, "Output",ExpressionUUID->"3a7e88f8-603a-4c66-8a1b-065c43aff3cd"] }, Open ]], -Cell[2310961, 45286, 3849, 95, 75, "Input",ExpressionUUID->"954f68de-17bb-4b28-b089-18f4c1840d53"], +Cell[2756337, 53962, 3849, 95, 75, "Input",ExpressionUUID->"954f68de-17bb-4b28-b089-18f4c1840d53"], Cell[CellGroupData[{ -Cell[2314835, 45385, 448, 10, 24, "Input",ExpressionUUID->"fd8d9fbd-6567-43cc-a4dc-4c986b02e466"], -Cell[2315286, 45397, 26854, 485, 178, "Output",ExpressionUUID->"b7f39439-0c1d-40f8-af40-5fed6fd931de"] +Cell[2760211, 54061, 448, 10, 24, "Input",ExpressionUUID->"fd8d9fbd-6567-43cc-a4dc-4c986b02e466"], +Cell[2760662, 54073, 26854, 485, 178, "Output",ExpressionUUID->"b7f39439-0c1d-40f8-af40-5fed6fd931de"] }, Open ]] }, Open ]] } diff --git a/schofield.wl b/schofield.wl index 646881d..8ac7ffc 100644 --- a/schofield.wl +++ b/schofield.wl @@ -1,7 +1,7 @@ BeginPackage["Schofield`"] -$Assumptions = {θc > 0, θc > 1, gC[_] ∈ Reals, B > 0, γ > 0} +$Assumptions = {θc > 0, θc > 1, gC[_] ∈ Reals, B > 0, γ > 0, ξ0 > 0} β[D_:2] := Piecewise[ { @@ -31,28 +31,43 @@ $Assumptions = {θc > 0, θc > 1, gC[_] ∈ Reals, B > 0, γ > 0} ] Δ[D_:2] := β[D] δ[D] -t[θ_] := (θ)^2 - 1 -h[n_][θ_] := (1 - (θ/θc)^2) Sum[gC[i] θ^(2i+1), {i, 0, n}] - -RFf[y_] := π^-1 y Exp[1/y] ExpIntegralEi[-1/y] -RFnonsingular[n_][θ_] := A RFf[B(θc+θ)] + Sum[FC[i] θ^(2i) , {i, 0, n}] -RF[n_][θ_] := A RFf[B(θc-θ)] + RFnonsingular[n][θ] +t[θ_] := ((θ)^2 - 1) +(* +hBasis = Orthogonalize[x^# & /@ Range[0, 20], Function[{f, g}, Integrate[f g (1 - x^2)^2, {x, -1, 1}]]] +h[n_][θ_] := (1 - (θ/θc)^2) Sum[gC[i] hBasis[[2 * i + 2]], {i, 0, n}] /. x -> θ / θc +*) +h[n_][θ_] := (1 - (θ/θc)^2) Sum[gC[i]θ^(2 * i + 1), {i, 0, n}] + +RFLow[B_, θc_][θ_] := (2 E^(1/( + B \[Theta]c)) \[Theta]c ExpIntegralEi[-(1/(B \[Theta]c))] + + E^(1/(B (-\[Theta] + \[Theta]c))) (\[Theta] - \[Theta]c) \ +ExpIntegralEi[1/(B \[Theta] - B \[Theta]c)] - + E^(1/(B \[Theta] + + B \[Theta]c)) (\[Theta] + \[Theta]c) ExpIntegralEi[-(1/( + B \[Theta] + B \[Theta]c))]) +RFHigh[ξ0_][ξ_] := (1+(ξ/ξ0)^2)^(5/6) - 1 + +RF[θ_] := AL RFLow[B, θc][θ] + AH RFHigh[θ0][θ] + AM θ^2 + +ruleB[g_] := B - π / (2 1.3578383417066) (- g'[θc] / t[θc]^Δ[2]) +ruleθ0[g_] := Simplify[g[I θ0]/(-t[I θ0])^Δ[2]/I] - 0.18930 + +eqLowRHS[F_][m_] := SeriesCoefficient[F[θ], {θ, θc, m}, Assumptions -> Join[{θ < θc, θ > 1}, $Assumptions]] + +eqLowLHS[h_][m_] :=D[ + t[θ]^2 (Gl[h[θ] t[θ]^-Δ[2]] + Log[t[θ]^2]/(8 π)), + {θ, m} ] / m! /. θ -> θc -RFfCoeff[m_] := 0 /; m < 2 -RFfCoeff[m_] := Gamma[m - 1] / π /; m > 1 +eqLow[F_, h_][m_] := eqLowRHS[F][m] - eqLowLHS[h][m] -ruleB[g_] := π / (2 1.3578383417066) (- g'[θc] / t[θc]^Δ[2]) +eqHighRHS[F_][m_] := D[F[θ], {θ, m} ] /. θ -> 0 -eqLow[n_, h_][m_] := -A B^m RFfCoeff[m] + D[ - RFnonsingular[n][θ] - t[θ]^2 (Gl[h[θ] t[θ]^-Δ[2]] + Log[t[θ]^2]/(8 π)), - {θ, m} ] / m! /. θ -> θc +eqHighLHS[h_][m_] := D[(-t[θ])^2 (Gh[h[θ] (-t[θ])^-Δ[2]] + Log[(-t[θ])^2]/(8 π)), {θ, m} ] /. θ -> 0 -eqHigh[n_, h_][m_] := D[ - RF[n][θ] - (-t[θ])^2 (Gh[h[θ] (-t[θ])^-Δ[2]] + Log[(-t[θ])^2]/(8 π)), - {θ, m} ] /. θ -> 0 +eqHigh[F_, h_][m_] := eqHighRHS[F][m] - eqHighLHS[h][m] -eqMid[n_, h_][m_] := D[ - RF[n][θ] - t[θ]^2 Log[h[θ]^2]/(8 Δ[2]π) - h[θ]^((2-α[2])/Δ[2]) Φ[η] +eqMid[F_, h_][m_] := D[ + F[θ] - t[θ]^2 Log[h[θ]^2]/(8 Δ[2]π) - h[θ]^((2-α[2])/Δ[2]) Φ[η] /. η -> t[θ] / h[θ]^(1 / Δ[2]), {θ, m} ] /. θ -> 1 @@ -76,7 +91,10 @@ Gls = { 0.18388370, -0.6591714, 2.937665, - -15.61 + -15.61, + 96.76, + -679, + 5340 } Ghs = { @@ -90,7 +108,9 @@ Ghs = { 0, 1457.62, 0, - -25891 + -25891, + 0, + 502000 } dRule[sym_][f_, i_] := Derivative[i[[1]] - 1][sym][0] -> f (i[[1]] - 1)! @@ -99,9 +119,22 @@ dRule[sym_][f_, i_] := Derivative[i[[1]] - 1][sym][0] -> f (i[[1]] - 1)! GlRules = MapIndexed[dRule[Gl], Gls]; GhRules = MapIndexed[dRule[Gh], Ghs]; -rules[g_] := Join[{B -> ruleB[g]}, ΦRules, GlRules, GhRules] - -eq[F_, g_][m_] := Flatten[Join[{eqLow[F, g][#], eqMid[F, g][#]} & /@ Range[0, m], eqHigh[F, g] /@ Range[0, m, 2]]] /. rules[g] +rules[g_] := Join[ΦRules, GlRules, GhRules] +(*ξ0 := 0.18930*) +gC[0] := 1 +tC[0] := 1 + +eq[F_, g_][m_] := Flatten[Join[{ruleB[g], ruleθ0[g]},{eqLow[F, g][#](*, eqMid[F, g][#]*)} & /@ Range[0, m], eqHigh[F, g] /@ Range[2, m, 2]]] //. rules[g] + +newSol[eqs_, oldSol_, newVars_, δ_:0, opts___] := FindRoot[ + eqs, + Join[ + oldSol /. Rule -> List, + Thread[{newVars, δ * RandomVariate[NormalDistribution[], Length[newVars]]}] + ], + MaxIterations -> 10000, + opts +] EndPackage[] -- cgit v1.2.3-70-g09d2