time (sec)	input	output
0.0	0.0	0.0
0.002	0.00125789462466	9.23931304789e-005
0.004	0.00503155859502	0.000536486450723
0.006	0.0113208127795	0.00164219042904
0.008	0.0201249605727	0.00367496854995
0.01	0.0314421909191	0.00686208475887
0.012	0.0452687429244	0.0113978531827
0.014	0.0615978328313	0.0174479989268
0.016	0.0804183449306	0.0251532233375
0.018	0.101713289197	0.0346320540575
0.02	0.12545803018	0.0459830492272
0.022	0.151618294022	0.0592864160713
0.024	0.180147963528	0.0746050966932
0.026	0.210986675024	0.0919853680347
0.028	0.244057235399	0.111456998543
0.03	0.279262883293	0.133033001043
0.032	0.316484424918	0.15670901955
0.034	0.355577282439	0.1824623873
0.036	0.396368501302	0.210250893947
0.038	0.438653772233	0.240011301801
0.04	0.482194533802	0.271657653998
0.042	0.526715232355	0.305079421556
0.044	0.571900827501	0.340139541429
0.046	0.617394643058	0.376672403666
0.048	0.662796674964	0.414481852614
0.05	0.707662478887	0.453339274642
0.052	0.751502770542	0.492981852755
0.054	0.793783880496	0.533111076698
0.056	0.833929211912	0.573391605236
0.058	0.871321853448	0.613450584982
0.06	0.905308499583	0.652877537013
0.062	0.93520482614	0.691224928053
0.064	0.96030245874	0.728009546702
0.066	0.979877655381	0.76271480645
0.068	0.993201800457	0.794794095385
0.07	0.999553775222	0.823675286881
0.072	0.998234228392	0.848766515482
0.074	0.988581719497	0.869463306897
0.076	0.969990646375	0.885157129878
0.078	0.941930796861	0.8952454101
0.08	0.903968283462	0.899143011572
0.082	0.855787529514	0.896295149114
0.084	0.797213877396	0.886191645991
0.086	0.728236285779	0.868382394008
0.088	0.649029476517	0.842493809631
0.09	0.559974786138	0.808246009961
0.092	0.461678876405	0.765470357834
0.094	0.354989368349	0.71412694786
0.096	0.2410063905	0.654321527124
0.098	0.121088981574	0.586321268538
0.1	-0.00314473220774	0.510568744922
0.102	-0.129824647016	0.427693391966
0.104	-0.25684407678	0.338519702729
0.106	-0.381884315773	0.24407137042
0.108	-0.502449074353	0.145570594993
0.11	-0.615909253567	0.0444317980021
0.112	-0.719558216581	-0.0577509457591
0.114	-0.810677339119	-0.159223347257
0.116	-0.886611180052	-0.258097652605
0.118	-0.944851113626	-0.352386948522
0.12	-0.983125717796	-0.440047028285
0.122	-0.99949563492	-0.519025535236
0.124	-0.992450033142	-0.587317771165
0.126	-0.961001226065	-0.643028191481
0.128	-0.904773486745	-0.684436217816
0.13	-0.824081656103	-0.710064595132
0.132	-0.719994835565	-0.718748121378
0.134	-0.594380310922	-0.709700203754
0.136	-0.449922920828	-0.682574370101
0.138	-0.290115398123	-0.637517612805
0.14	-0.119215808736	-0.575212293183
0.142	0.0578308843413	-0.496903314253
0.144	0.235508883803	-0.404407405199
0.146	0.407885465207	-0.300101674754
0.148	0.568801123103	-0.186889100544
0.15	0.712092285431	-0.0681393371971
0.152	0.83184069015	0.0523958525135
0.154	0.922641210216	0.170692124243
0.156	0.979877655381	0.282585335003
0.158	0.999994016935	0.383924473576
0.16	0.98074691722	0.470740154613
0.162	0.921423852412	0.539422623754
0.164	0.82301134823	0.586901846397
0.166	0.688297545769	0.610821071347
0.168	0.521895134856	0.609694378965
0.17	0.330173050401	0.583038249275
0.172	0.121088981574	0.531467220394
0.174	-0.0960805193255	0.456744339115
0.176	-0.31110982006	0.361778397138
0.178	-0.513284882209	0.250561929251
0.18	-0.691938868978	0.128046612407
0.182	-0.837039718333	-4.40137659699e-005
0.184	-0.939800130673	-0.127460800212
0.186	-0.993274816802	-0.247726397585
0.188	-0.992905806514	-0.354471791342
0.19	-0.936974699267	-0.441795900823
0.192	-0.826921456735	-0.504628644703
0.194	-0.667493089723	-0.539075171601
0.196	-0.466692607665	-0.542717415393
0.198	-0.235508883803	-0.514849060777
0.2	0.0125786178387	-0.456621635173
0.202	0.262310565504	-0.371082923657
0.204	0.497546920454	-0.263094256466
0.206	0.702309775427	-0.139120316973
0.208	0.861908343052	-0.00689366961292
0.21	0.964070346816	0.125034251763
0.212	0.999994016935	0.247834049751
0.214	0.965230546071	0.353000011348
0.216	0.860309500361	0.432973091243
0.218	0.69103017686	0.481739706351
0.22	0.468360536333	0.495357677415
0.222	0.207911690818	0.472361198804
0.224	-0.0710112490129	0.414001434193
0.226	-0.346743932391	0.324288401382
0.228	-0.5969063155	0.209813022696
0.23	-0.800241322654	0.0793449509762
0.232	-0.938503881017	-0.0567790285425
0.234	-0.998234228392	-0.187441042146
0.236	-0.972241301393	-0.301648266155
0.238	-0.86062995004	-0.389488229085
0.24	-0.671231219341	-0.443050567521
0.242	-0.419337890257	-0.457227367193
0.244	-0.126705886833	-0.430307087857
0.246	0.180147963528	-0.364288735063
0.248	0.472245875131	-0.26486335302
0.25	0.720867218925	-0.141038070231
0.252	0.900441917217	-0.00441184201707
0.254	0.991331611231	0.13185121324
0.256	0.982192843987	0.254269045025
0.258	0.871630313141	0.350396576047
0.26	0.668896873744	0.410153318147
0.262	0.393479389461	0.426979270504
0.264	0.073520460482	0.398680460551
0.266	-0.25684407678	0.327847725253
0.268	-0.561016520948	0.221770392582
0.27	-0.803997130367	0.0918177701643
0.272	-0.956534318458	-0.0476788459149
0.274	-0.998872773839	-0.180948881792
0.276	-0.923608527512	-0.292558309596
0.278	-0.737224220687	-0.369243093232
0.28	-0.460004337399	-0.401580938515
0.282	-0.124209975016	-0.385283648508
0.284	0.229391700378	-0.321922149656
0.286	0.556321747505	-0.21895342593
0.288	0.813978533842	-0.0889986109055
0.29	0.967335548397	0.0515839510237
0.292	0.993983365253	0.184689117134
0.294	0.887771964961	0.292789577184
0.296	0.660438623999	0.361301233869
0.298	0.34083783844	0.380666832655
0.3	-0.0282988580831	0.347849471966
0.302	-0.395790991607	0.266987481681
0.304	-0.708994368137	0.149063766556
0.306	-0.921423852412	0.0105752981285
0.308	-0.999916880969	-0.12866479729
0.31	-0.930215730829	-0.248320147682
0.312	-0.719994835565	-0.330535855143
0.314	-0.398676969865	-0.362710592207
0.316	-0.0138364029948	-0.339594682872
0.318	0.375481151499	-0.264346130693
0.32	0.707662478887	-0.14831539076
0.322	0.928357307357	-0.00951774949706
0.324	0.999675596651	0.130036865243
0.326	0.907169758283	0.247786143713
0.328	0.663267499345	0.324303919617
0.33	0.306324019607	0.34663031727
0.332	-0.104841209113	0.310657578921
0.334	-0.500272317519	0.222107942325
0.336	-0.810677339119	0.0958539956787
0.338	-0.979751924263	-0.0463920389517
0.34	-0.974827846675	-0.179699972246
0.342	-0.793783880496	-0.280275120463
0.344	-0.466692607665	-0.329791383586
0.346	-0.0515508332403	-0.318905050989
0.348	0.375481151499	-0.249250593073
0.35	0.733815325277	-0.133460793295
0.352	0.95374058882	0.0068983831989
0.354	0.990398926888	0.145191418845
0.356	0.833581948853	0.254718127018
0.358	0.511124163235	0.313934440926
0.36	0.0848059244755	0.310861308874
0.362	-0.360862151775	0.245752563513
0.364	-0.735095842789	0.131389535183
0.366	-0.959420452999	-0.00917953139534
0.368	-0.984588542773	-0.14711534282
0.37	-0.802123192755	-0.253650506078
0.372	-0.447674729438	-0.306164668391
0.374	0.00503155859502	-0.293179246317
0.376	0.458887067862	-0.217135508422
0.378	0.813978533842	-0.0942383549211
0.38	0.989780715724	0.0487432196645
0.382	0.944024202752	0.180151522045
0.384	0.683721398062	0.270428898574
0.386	0.265343883174	0.29888782343
0.388	-0.216516368133	0.25869095234
0.39	-0.649985923054	0.158796308712
0.392	-0.931822534575	0.0222668121501
0.394	-0.992450033142	-0.118824660476
0.396	-0.813978533842	-0.230830648816
0.398	-0.436391556389	-0.28661122493
0.4	0.0502945703634	-0.272314376147
0.402	0.526715232355	-0.191119074011
0.404	0.873167437243	-0.0628684809724
0.406	0.999999950553	0.0805002982844
0.408	0.871630313141	0.202756109004
0.41	0.517596560462	0.272543838518
0.412	0.0270414448477	0.271607089755
0.414	-0.472800178052	0.199868347526
0.416	-0.84921256033	0.0758855045548
0.418	-0.99949563492	-0.0676392860084
0.42	-0.879827995816	-0.192303907937
0.422	-0.51921006732	-0.264278938311
0.424	-0.0138364029948	-0.263668477986
0.426	0.497546920454	-0.190327767611
0.428	0.871321853448	-0.0643609212081
0.43	0.999642767662	0.0790666071291
0.432	0.842503222037	0.199363420843
0.434	0.441477636154	0.262014060994
0.436	-0.0898182833182	0.248691632829
0.438	-0.5969063155	0.162966562207
0.44	-0.929056972954	0.0297459413287
0.442	-0.984588542773	-0.111646278081
0.444	-0.743144825477	-0.218929088255
0.446	-0.274427971826	-0.259576247971
0.448	0.280470511245	-0.220945579934
0.45	0.750672305253	-0.114599484609
0.452	0.988102965062	0.0267584273016
0.454	0.914946976958	0.159062461228
0.456	0.550559498954	0.240550742778
0.458	0.00817622611609	0.24510975636
0.46	-0.53895622236	0.170990494855
0.462	-0.912390628316	0.0418876508074
0.464	-0.987116145889	-0.100266387593
0.466	-0.734669294179	-0.208732749762
0.468	-0.235508883803	-0.247390254182
0.47	0.344973533795	-0.203051894108
0.472	0.810308934349	-0.0903881584166
0.474	0.999515410406	0.0525010344968
0.476	0.843855788572	0.176692855305
0.478	0.393479389461	0.239159081582
0.48	-0.196824941468	0.217901597549
0.482	-0.719558216581	0.120112135233
0.484	-0.98721658561	-0.0197995523421
0.486	-0.900441917217	-0.151972948376
0.488	-0.486596398214	-0.228766501106
0.49	0.106717465371	-0.222111921627
0.492	0.662796674964	-0.134174800176
0.494	0.974546616643	0.0028603906059
0.496	0.922398468218	0.138188531198
0.498	0.521895134856	0.22108065995
0.5	-0.0785374715657	0.220059170474
0.502	-0.650941341118	0.135252725887
0.504	-0.973836796185	-0.00105764079488
0.506	-0.918713607042	-0.136323784914
0.508	-0.502992767209	-0.217837513719
0.51	0.112968871429	-0.213432797527
0.512	0.686012864031	-0.124597284045
0.514	0.985669007931	0.0135028501274
0.516	0.887771964961	0.145539439043
0.518	0.427883764942	0.218057986681
0.52	-0.209141932938	0.201317914817
0.522	-0.761782833333	0.101942766322
0.524	-0.998902430957	-0.0391708627784
0.526	-0.81761593449	-0.163301645848
0.528	-0.290115398123	-0.218262959384
0.53	0.362621213782	-0.180609285049
0.532	0.861908343052	-0.066138472019
0.534	0.990398926888	0.0762079471896
0.536	0.688297545769	0.184942782084
0.538	0.0835524943364	0.212611017158
0.54	-0.559974786138	0.146860639012
0.542	-0.956534318458	0.0165048188778
0.544	-0.926001232517	-0.120604716269
0.546	-0.477780461796	-0.203026171328
0.548	0.188802074339	-0.193413762304
0.55	0.771074212699	-0.0959071011033
0.552	0.999995994807	0.0450706552054
0.554	0.765842265421	0.164629991476
0.556	0.173338472909	0.207211857836
0.558	-0.502449074353	0.152723727223
0.56	-0.942352461534	0.0265830525664
0.562	-0.934311008126	-0.111590813072
0.564	-0.477780461796	-0.195882892357
0.566	0.210986675024	-0.185664023845
0.568	0.799108400737	-0.0856604416803
0.57	0.997497796594	0.0556221039868
0.572	0.704544947844	0.168993725077
0.574	0.0609700675507	0.198420848685
0.576	-0.614917775389	0.129091683858
0.578	-0.983355048166	-0.00452235760068
0.58	-0.854809891307	-0.135262560372
0.582	-0.290115398123	-0.196834198491
0.584	0.425039334025	-0.157664759953
0.586	0.922641210216	-0.037664583409
0.588	0.941930796861	0.10128087255
0.59	0.468360536333	0.186889151252
0.592	-0.253195168105	0.174200907073
0.594	-0.842503222037	0.0697070395791
0.596	-0.983921565969	-0.071320925417
0.598	-0.597410808851	-0.173628082134
0.6	0.112968871429	-0.182141609868
0.602	0.763816326206	-0.0920727007207
0.604	0.998380508528	0.0477309296115
0.606	0.683721398062	0.160764750268
0.608	-0.0106919034082	0.184654049248
0.61	-0.700965336768	0.105976891671
0.612	-0.999675596651	-0.031528471628
0.614	-0.734669294179	-0.150715203892
0.616	-0.0515508332403	-0.184169764814
0.618	0.662796674964	-0.112707699455
0.62	0.997715189196	0.0229548614406
0.622	0.756049039286	0.144803041219
0.624	0.073520460482	0.182209495291
0.626	-0.653801409366	0.113221536161
0.628	-0.997585937512	-0.0218775849149
0.63	-0.750672305253	-0.143476103729
0.632	-0.0553191245076	-0.179360597945
0.634	0.674952355571	-0.107957313743
0.636	0.999515410406	0.0280051695184
0.638	0.717808895982	0.146446904127
0.64	-0.00314473220775	0.175319092058
0.642	-0.723911569196	0.0968199217245
0.644	-0.998872773839	-0.0409158656031
0.646	-0.653325376795	-0.152727429915
0.648	0.101713289197	-0.168961693954
0.65	0.794548303912	-0.0793082627284
0.652	0.986194621697	0.0599162159926
0.654	0.550559498954	0.160573996743
0.656	-0.238563997083	0.158463528745
0.658	-0.875912490087	0.0547902437215
0.66	-0.94749724672	-0.0837567706909
0.662	-0.402134936953	-0.16739875502
0.664	0.407885465207	-0.14151961892
0.666	0.951056516295	-0.0229412218223
0.668	0.865395771316	0.110256437453
0.67	0.202987452027	0.16974818571
0.672	-0.5969063155	0.115755805829
0.674	-0.99642410851	-0.0156517611306
0.676	-0.721738461656	-0.135935640198
0.678	0.0452687429245	-0.16349328454
0.68	0.782950626208	-0.0794125860684
0.682	0.982894831826	0.0587753756433
0.684	0.502449074353	0.155832597407
0.686	-0.328985436764	0.144403335402
0.688	-0.931822534575	0.0323289824553
0.69	-0.879827995816	-0.10193136983
0.692	-0.204834650496	-0.163757888598
0.694	0.617394643058	-0.109247384767
0.696	0.999515410406	0.0228844694539
0.698	0.663267499345	0.138053457767
0.7	-0.153483051896	0.153280299795
0.702	-0.860309500361	0.0574308525019
0.704	-0.93958501797	-0.0798246668218
0.706	-0.32839143462	-0.158061296717
0.708	0.526715232355	-0.119646740573
0.71	0.992294967655	0.00711804915797
0.712	0.717808895982	0.128047380596
0.714	-0.0960805193255	0.152728435728
0.716	-0.839098495401	0.0625205427206
0.718	-0.947094267786	-0.0745357091736
0.72	-0.333139794742	-0.154402424385
0.722	0.537365912802	-0.116060827331
0.724	0.995582656697	0.0111749152562
0.726	0.683721398062	0.12924885989
0.728	-0.160936552771	0.146616094076
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