time (sec)	input	output
0.0	0.0	0.0
0.002	0.00125789462466	8.5817067377e-007
0.004	0.00503155859502	8.5555874011e-006
0.006	0.0113208127795	3.83801035871e-005
0.008	0.0201249605727	0.00011559716229
0.01	0.0314421909191	0.000275216395031
0.012	0.0452687429244	0.000561716727655
0.014	0.0615978328313	0.0010287282345
0.016	0.0804183449306	0.00173866821208
0.018	0.101713289197	0.00276232820021
0.02	0.12545803018	0.00417840796975
0.022	0.151618294022	0.00607299183173
0.024	0.180147963528	0.00853896201383
0.026	0.210986675024	0.0116753433121
0.028	0.244057235399	0.0155865727739
0.03	0.279262883293	0.0203816878253
0.032	0.316484424918	0.0261734260384
0.034	0.355577282439	0.0330772296788
0.036	0.396368501302	0.0412101482958
0.038	0.438653772233	0.0506896329592
0.04	0.482194533802	0.0616322163381
0.042	0.526715232355	0.0741520736917
0.044	0.571900827501	0.0883594610427
0.046	0.617394643058	0.104359028361
0.048	0.662796674964	0.122248007542
0.05	0.707662478887	0.142114277346
0.052	0.751502770542	0.164034310321
0.054	0.793783880496	0.188071010054
0.056	0.833929211912	0.214271450927
0.058	0.871321853448	0.242664536906
0.06	0.905308499583	0.273258600705
0.062	0.93520482614	0.306038969988
0.064	0.96030245874	0.340965532976
0.066	0.979877655381	0.377970341937
0.068	0.993201800457	0.416955299327
0.07	0.999553775222	0.457789977858
0.072	0.998234228392	0.500309632152
0.074	0.988581719497	0.544313465872
0.076	0.969990646375	0.589563223965
0.078	0.941930796861	0.635782184631
0.08	0.903968283462	0.682654629676
0.082	0.855787529514	0.729825874484
0.084	0.797213877396	0.776902939782
0.086	0.728236285779	0.823455946146
0.088	0.649029476517	0.869020308527
0.09	0.559974786138	0.913099801489
0.092	0.461678876405	0.955170556058
0.094	0.354989368349	0.994686035689
0.096	0.2410063905	1.03108302167
0.098	0.121088981574	1.06378861707
0.1	-0.00314473220774	1.09222825297
0.102	-0.129824647016	1.11583465172
0.104	-0.25684407678	1.13405766842
0.106	-0.381884315773	1.14637489621
0.108	-0.502449074353	1.15230288138
0.11	-0.615909253567	1.15140875403
0.112	-0.719558216581	1.14332203867
0.114	-0.810677339119	1.12774636903
0.116	-0.886611180052	1.10447079328
0.118	-0.944851113626	1.07338032298
0.12	-0.983125717796	1.0344653522
0.122	-0.99949563492	0.987829555631
0.124	-0.992450033142	0.933695867677
0.126	-0.961001226065	0.872410151408
0.128	-0.904773486745	0.804442188555
0.13	-0.824081656103	0.730383661283
0.132	-0.719994835565	0.650942854844
0.134	-0.594380310922	0.56693588803
0.136	-0.449922920828	0.479274375566
0.138	-0.290115398123	0.388949542358
0.14	-0.119215808736	0.297012941783
0.142	0.0578308843413	0.204554075729
0.144	0.235508883803	0.112675368506
0.146	0.407885465207	0.0224651042474
0.148	0.568801123103	-0.0650309088984
0.15	0.712092285431	-0.148838042551
0.152	0.83184069015	-0.228080893352
0.154	0.922641210216	-0.302009551761
0.156	0.979877655381	-0.370022924242
0.158	0.999994016935	-0.431687934569
0.16	0.98074691722	-0.486753481494
0.162	0.921423852412	-0.535158143314
0.164	0.82301134823	-0.577030798145
0.166	0.688297545769	-0.612683572345
0.168	0.521895134856	-0.642596834937
0.17	0.330173050401	-0.667396315253
0.172	0.121088981574	-0.687822821926
0.174	-0.0960805193255	-0.704695466964
0.176	-0.31110982006	-0.718869727458
0.178	-0.513284882209	-0.731192084697
0.18	-0.691938868978	-0.74245333825
0.182	-0.837039718333	-0.75334297216
0.184	-0.939800130673	-0.764407123235
0.186	-0.993274816802	-0.776012741711
0.188	-0.992905806514	-0.788320421476
0.19	-0.936974699267	-0.801268096691
0.192	-0.826921456735	-0.814567350039
0.194	-0.667493089723	-0.827713462027
0.196	-0.466692607665	-0.840009571008
0.198	-0.235508883803	-0.850604443272
0.2	0.0125786178387	-0.858542418643
0.202	0.262310565504	-0.862823157784
0.204	0.497546920454	-0.862467940569
0.206	0.702309775427	-0.856588522981
0.208	0.861908343052	-0.844454025907
0.21	0.964070346816	-0.825551069654
0.212	0.999994016935	-0.799632437646
0.214	0.965230546071	-0.766749986823
0.216	0.860309500361	-0.727268331377
0.218	0.69103017686	-0.681856991033
0.22	0.468360536333	-0.63146016277
0.222	0.207911690818	-0.577244960207
0.224	-0.0710112490129	-0.520530751285
0.226	-0.346743932391	-0.46270397144
0.228	-0.5969063155	-0.405124339523
0.23	-0.800241322654	-0.34902959758
0.232	-0.938503881017	-0.295446585277
0.234	-0.998234228392	-0.245116524722
0.236	-0.972241301393	-0.198441754795
0.238	-0.86062995004	-0.155459796239
0.24	-0.671231219341	-0.115848597986
0.242	-0.419337890257	-0.0789642322857
0.244	-0.126705886833	-0.0439093627646
0.246	0.180147963528	-0.00962775778066
0.248	0.472245875131	0.0249827436921
0.25	0.720867218925	0.0609487727974
0.252	0.900441917217	0.0991030071206
0.254	0.991331611231	0.139980835958
0.256	0.982192843987	0.183743481257
0.258	0.871630313141	0.230136991075
0.26	0.668896873744	0.27849339172
0.262	0.393479389461	0.327776198824
0.264	0.073520460482	0.37666780818
0.266	-0.25684407678	0.423691486929
0.268	-0.561016520948	0.467356306682
0.27	-0.803997130367	0.506309956519
0.272	-0.956534318458	0.539482445663
0.274	-0.998872773839	0.566203629508
0.276	-0.923608527512	0.58627945829
0.278	-0.737224220687	0.600015810204
0.28	-0.460004337399	0.608184426362
0.282	-0.124209975016	0.611932259036
0.284	0.229391700378	0.612642712791
0.286	0.556321747505	0.611763903973
0.288	0.813978533842	0.610624263547
0.29	0.967335548397	0.610258734138
0.292	0.993983365253	0.611268859778
0.294	0.887771964961	0.613736967043
0.296	0.660438623999	0.617208532948
0.298	0.34083783844	0.620748314018
0.3	-0.0282988580831	0.623065866754
0.302	-0.395790991607	0.622696026348
0.304	-0.708994368137	0.618211183051
0.306	-0.921423852412	0.608436207963
0.308	-0.999916880969	0.592634764323
0.31	-0.930215730829	0.570638150898
0.312	-0.719994835565	0.54289478078
0.314	-0.398676969865	0.510429212701
0.316	-0.0138364029948	0.474712955568
0.318	0.375481151499	0.437463160986
0.32	0.707662478887	0.400397623409
0.322	0.928357307357	0.364983094153
0.324	0.999675596651	0.332217066761
0.326	0.907169758283	0.302479938121
0.328	0.663267499345	0.275484817778
0.33	0.306324019607	0.250337369046
0.332	-0.104841209113	0.225700058609
0.334	-0.500272317519	0.200036950631
0.336	-0.810677339119	0.171899898667
0.338	-0.979751924263	0.140207617438
0.34	-0.974827846675	0.104467806912
0.342	-0.793783880496	0.0649001191258
0.344	-0.466692607665	0.022433592088
0.346	-0.0515508332403	-0.0214260905151
0.348	0.375481151499	-0.0648401599792
0.35	0.733815325277	-0.105949927821
0.352	0.95374058882	-0.14320297756
0.354	0.990398926888	-0.175630417397
0.356	0.833581948853	-0.203019617968
0.358	0.511124163235	-0.225944629558
0.36	0.0848059244755	-0.245642893182
0.362	-0.360862151775	-0.263757199952
0.364	-0.735095842789	-0.281990174336
0.366	-0.959420452999	-0.301738841653
0.368	-0.984588542773	-0.323784260757
0.37	-0.802123192755	-0.348103268853
0.372	-0.447674729438	-0.373846702719
0.374	0.00503155859502	-0.399494889805
0.376	0.458887067862	-0.423163309561
0.378	0.813978533842	-0.442997167577
0.38	0.989780715724	-0.457571074628
0.382	0.944024202752	-0.466204957333
0.384	0.683721398062	-0.469122099074
0.386	0.265343883174	-0.467407779501
0.388	-0.216516368133	-0.462771000037
0.39	-0.649985923054	-0.457157709302
0.392	-0.931822534575	-0.452301036413
0.394	-0.992450033142	-0.449312847702
0.396	-0.813978533842	-0.448415711817
0.398	-0.436391556389	-0.448884778174
0.4	0.0502945703634	-0.449220825391
0.402	0.526715232355	-0.447519588555
0.404	0.873167437243	-0.44195199825
0.406	0.999999950553	-0.43123830895
0.408	0.871630313141	-0.414995560376
0.41	0.517596560462	-0.39386510975
0.412	0.0270414448477	-0.369379941701
0.414	-0.472800178052	-0.343597797067
0.416	-0.84921256033	-0.318589093439
0.418	-0.99949563492	-0.295911065854
0.42	-0.879827995816	-0.276208783288
0.422	-0.51921006732	-0.2590551239
0.424	-0.0138364029948	-0.243080964714
0.426	0.497546920454	-0.226368692998
0.428	0.871321853448	-0.207007540612
0.43	0.999642767662	-0.183659507137
0.432	0.842503222037	-0.155975471777
0.434	0.441477636154	-0.124737568109
0.436	-0.0898182833182	-0.0916781259607
0.438	-0.5969063155	-0.0590179383689
0.44	-0.929056972954	-0.0288510083351
0.442	-0.984588542773	-0.00255360614102
0.444	-0.743144825477	0.0196048035345
0.446	-0.274427971826	0.0385253002715
0.448	0.280470511245	0.0559889020659
0.45	0.750672305253	0.0740905489193
0.452	0.988102965062	0.0945651701354
0.454	0.914946976958	0.118213562627
0.456	0.550559498954	0.144612221042
0.458	0.00817622611609	0.172207800801
0.46	-0.53895622236	0.198777117932
0.462	-0.912390628316	0.222114417351
0.464	-0.987116145889	0.240728184549
0.466	-0.734669294179	0.254318499726
0.468	-0.235508883803	0.263870345241
0.47	0.344973533795	0.271320864397
0.472	0.810308934349	0.278900950839
0.474	0.999515410406	0.28836614278
0.476	0.843855788572	0.30037762907
0.478	0.393479389461	0.314251638183
0.48	-0.196824941468	0.328174751122
0.482	-0.719558216581	0.339822211349
0.484	-0.98721658561	0.347171088852
0.486	-0.900441917217	0.349223072196
0.488	-0.486596398214	0.346374145094
0.49	0.106717465371	0.340287451559
0.492	0.662796674964	0.333302559348
0.494	0.974546616643	0.327586607491
0.496	0.922398468218	0.324335970864
0.498	0.521895134856	0.323328780684
0.5	-0.0785374715657	0.323006371492
0.502	-0.650941341118	0.321066384265
0.504	-0.973836796185	0.315353305338
0.506	-0.918713607042	0.304709931784
0.508	-0.502992767209	0.289457127501
0.51	0.112968871429	0.27130402423
0.512	0.686012864031	0.252709558062
0.514	0.985669007931	0.235935653132
0.516	0.887771964961	0.222164170439
0.518	0.427883764942	0.21103619076
0.52	-0.209141932938	0.200811762173
0.522	-0.761782833333	0.189099844969
0.524	-0.998902430957	0.173870596785
0.526	-0.81761593449	0.154335128115
0.528	-0.290115398123	0.131320153535
0.53	0.362621213782	0.106966692221
0.532	0.861908343052	0.0838645522844
0.534	0.990398926888	0.0639800534394
0.536	0.688297545769	0.0478351356597
0.538	0.0835524943364	0.0343009608912
0.54	-0.559974786138	0.0211109946701
0.542	-0.956534318458	0.00588402675549
0.544	-0.926001232517	-0.0127857698188
0.546	-0.477780461796	-0.0346583679908
0.548	0.188802074339	-0.0579092898694
0.55	0.771074212699	-0.0799121888876
0.552	0.999995994807	-0.0984015967465
0.554	0.765842265421	-0.11248928855
0.556	0.173338472909	-0.123059705162
0.558	-0.502449074353	-0.132345675415
0.56	-0.942352461534	-0.142865319952
0.562	-0.934311008126	-0.156208993325
0.564	-0.477780461796	-0.172251159788
0.566	0.210986675024	-0.189175062762
0.568	0.799108400737	-0.204316535083
0.57	0.997497796594	-0.215434790435
0.572	0.704544947844	-0.221797353951
0.574	0.0609700675507	-0.224540142022
0.576	-0.614917775389	-0.22610804448
0.578	-0.983355048166	-0.229035410336
0.58	-0.854809891307	-0.234665462169
0.582	-0.290115398123	-0.24245571653
0.584	0.425039334025	-0.250236084017
0.586	0.922641210216	-0.255307725882
0.588	0.941930796861	-0.255833215171
0.59	0.468360536333	-0.251801620662
0.592	-0.253195168105	-0.245054554029
0.594	-0.842503222037	-0.238339550805
0.596	-0.983921565969	-0.233871897619
0.598	-0.597410808851	-0.232161590166
0.6	0.112968871429	-0.231740544982
0.602	0.763816326206	-0.229956060248
0.604	0.998380508528	-0.224421146019
0.606	0.683721398062	-0.214341700367
0.608	-0.0106919034082	-0.200987223872
0.61	-0.700965336768	-0.187026678112
0.612	-0.999675596651	-0.175076535106
0.614	-0.734669294179	-0.166259445609
0.616	-0.0515508332403	-0.159587203737
0.618	0.662796674964	-0.152534897242
0.62	0.997715189196	-0.142501821682
0.622	0.756049039286	-0.128336654894
0.624	0.073520460482	-0.111045664267
0.626	-0.653801409366	-0.0932554447425
0.628	-0.997585937512	-0.0777201843149
0.63	-0.750672305253	-0.065734088028
0.632	-0.0553191245076	-0.0563879920922
0.634	0.674952355571	-0.0471297134166
0.636	0.999515410406	-0.0353170523589
0.638	0.717808895982	-0.0198452018578
0.64	-0.00314473220775	-0.00186186663081
0.642	-0.723911569196	0.0158841859542
0.644	-0.998872773839	0.03068706152
0.646	-0.653325376795	0.0415232161355
0.648	0.101713289197	0.049667442626
0.65	0.794548303912	0.0578811317412
0.652	0.986194621697	0.0686567077968
0.654	0.550559498954	0.0826112375899
0.656	-0.238563997083	0.0980540865334
0.658	-0.875912490087	0.112027052738
0.66	-0.94749724672	0.122174739082
0.662	-0.402134936953	0.128249802555
0.664	0.407885465207	0.13226660396
0.666	0.951056516295	0.137178175926
0.668	0.865395771316	0.144920956739
0.67	0.202987452027	0.155110620016
0.672	-0.5969063155	0.165269149566
0.674	-0.99642410851	0.172458494681
0.676	-0.721738461656	0.175245774419
0.678	0.0452687429245	0.174675177792
0.68	0.782950626208	0.173567241874
0.682	0.982894831826	0.174595889863
0.684	0.502449074353	0.178445766408
0.686	-0.328985436764	0.183326907896
0.688	-0.931822534575	0.186208120905
0.69	-0.879827995816	0.184935496359
0.692	-0.204834650496	0.179760389503
0.694	0.617394643058	0.173185540129
0.696	0.999515410406	0.168210008635
0.698	0.663267499345	0.166200918303
0.7	-0.153483051896	0.165916033523
0.702	-0.860309500361	0.164403149411
0.704	-0.93958501797	0.159154037585
0.706	-0.32839143462	0.149959934542
0.708	0.526715232355	0.139100452069
0.71	0.992294967655	0.129698618239
0.712	0.717808895982	0.123432818416
0.714	-0.0960805193255	0.119302518828
0.716	-0.839098495401	0.114390921434
0.718	-0.947094267786	0.106081892694
0.72	-0.333139794742	0.0940740798267
0.722	0.537365912802	0.0806539837941
0.724	0.995582656697	0.068990583836
0.726	0.683721398062	0.0607325987836
0.728	-0.160936552771	0.054756562662
0.73	-0.88131831211	0.0480577709211
0.732	-0.910059053167	0.0381214107678
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