time (sec)	input	output
0.0	0.0	0.0
0.002	0.00125789462466	9.18674819335e-05
0.004	0.00503155859502	0.000536377901772
0.006	0.0113208127795	0.00164611958978
0.008	0.0201249605727	0.00368005848446
0.01	0.0314421909191	0.00686619280707
0.012	0.0452687429244	0.0114030082381
0.014	0.0615978328313	0.0174524830462
0.016	0.0804183449306	0.0251576000779
0.018	0.101713289197	0.0346356284646
0.02	0.12545803018	0.0459897595408
0.022	0.151618294022	0.0592932869365
0.024	0.180147963528	0.0746113793826
0.026	0.210986675024	0.0919905083532
0.028	0.244057235399	0.111461358645
0.03	0.279262883293	0.133036666632
0.032	0.316484424918	0.156711952251
0.034	0.355577282439	0.182465095044
0.036	0.396368501302	0.210253072921
0.038	0.438653772233	0.240012899936
0.04	0.482194533802	0.271658708316
0.042	0.526715232355	0.305080178777
0.044	0.571900827501	0.340141102697
0.046	0.617394643058	0.37667390878
0.048	0.662796674964	0.414483730159
0.05	0.707662478887	0.453339438821
0.052	0.751502770542	0.492975993745
0.054	0.793783880496	0.53311332679
0.056	0.833929211912	0.573392121105
0.058	0.871321853448	0.613449703754
0.06	0.905308499583	0.652876244697
0.062	0.93520482614	0.691224861349
0.064	0.96030245874	0.728008610097
0.066	0.979877655381	0.762713544922
0.068	0.993201800457	0.794792154281
0.07	0.999553775222	0.823672790825
0.072	0.998234228392	0.848763494352
0.074	0.988581719497	0.869458775126
0.076	0.969990646375	0.885153196327
0.078	0.941930796861	0.895237245728
0.08	0.903968283462	0.899135000399
0.082	0.855787529514	0.896285466606
0.084	0.797213877396	0.886182881284
0.086	0.728236285779	0.868370192778
0.088	0.649029476517	0.842478886985
0.09	0.559974786138	0.808232800779
0.092	0.461678876405	0.765456180595
0.094	0.354989368349	0.714114149088
0.096	0.2410063905	0.654309623042
0.098	0.121088981574	0.586304777783
0.1	-0.00314473220774	0.510553742451
0.102	-0.129824647016	0.427680454803
0.104	-0.25684407678	0.338510297404
0.106	-0.381884315773	0.244066421017
0.108	-0.502449074353	0.145564847908
0.11	-0.615909253567	0.0444267096827
0.112	-0.719558216581	-0.0577543658621
0.114	-0.810677339119	-0.159224078999
0.116	-0.886611180052	-0.258098326751
0.118	-0.944851113626	-0.352386554346
0.12	-0.983125717796	-0.440046009728
0.122	-0.99949563492	-0.519025029101
0.124	-0.992450033142	-0.587316285928
0.126	-0.961001226065	-0.643025710995
0.128	-0.904773486745	-0.684433012416
0.13	-0.824081656103	-0.710061584043
0.132	-0.719994835565	-0.718739821157
0.134	-0.594380310922	-0.709691067075
0.136	-0.449922920828	-0.68256639855
0.138	-0.290115398123	-0.637510543332
0.14	-0.119215808736	-0.575204930969
0.142	0.0578308843413	-0.496895112278
0.144	0.235508883803	-0.404403876417
0.146	0.407885465207	-0.300098938736
0.148	0.568801123103	-0.186894375466
0.15	0.712092285431	-0.0681400761451
0.152	0.83184069015	0.0523940031872
0.154	0.922641210216	0.170689760428
0.156	0.979877655381	0.282581486393
0.158	0.999994016935	0.383920489238
0.16	0.98074691722	0.470736148453
0.162	0.921423852412	0.539418633329
0.164	0.82301134823	0.58689707885
0.166	0.688297545769	0.610816972624
0.168	0.521895134856	0.609687761651
0.17	0.330173050401	0.583032313652
0.172	0.121088981574	0.531462349041
0.174	-0.0960805193255	0.456740403789
0.176	-0.31110982006	0.361775079248
0.178	-0.513284882209	0.250568709906
0.18	-0.691938868978	0.128054046099
0.182	-0.837039718333	-3.78519482651e-05
0.184	-0.939800130673	-0.127454061766
0.186	-0.993274816802	-0.247720050854
0.188	-0.992905806514	-0.35446562762
0.19	-0.936974699267	-0.441788737426
0.192	-0.826921456735	-0.504621810519
0.194	-0.667493089723	-0.539068683668
0.196	-0.466692607665	-0.542710645477
0.198	-0.235508883803	-0.514841869311
0.2	0.0125786178387	-0.456612972747
0.202	0.262310565504	-0.371077828672
0.204	0.497546920454	-0.263090223731
0.206	0.702309775427	-0.139115326319
0.208	0.861908343052	-0.00689142812691
0.21	0.964070346816	0.125034675198
0.212	0.999994016935	0.247832419705
0.214	0.965230546071	0.352997217959
0.216	0.860309500361	0.432968857857
0.218	0.69103017686	0.481734878435
0.22	0.468360536333	0.495351885745
0.222	0.207911690818	0.472354706051
0.224	-0.0710112490129	0.413996635525
0.226	-0.346743932391	0.324285046284
0.228	-0.5969063155	0.209812846725
0.23	-0.800241322654	0.0793443560618
0.232	-0.938503881017	-0.0567793850669
0.234	-0.998234228392	-0.187439818394
0.236	-0.972241301393	-0.301646664475
0.238	-0.86062995004	-0.389485483579
0.24	-0.671231219341	-0.443044951517
0.242	-0.419337890257	-0.4572220275
0.244	-0.126705886833	-0.430302237674
0.246	0.180147963528	-0.364285264705
0.248	0.472245875131	-0.264861498077
0.25	0.720867218925	-0.141036935258
0.252	0.900441917217	-0.00441155423706
0.254	0.991331611231	0.131849927608
0.256	0.982192843987	0.254265865399
0.258	0.871630313141	0.350392968487
0.26	0.668896873744	0.410148205295
0.262	0.393479389461	0.426974455935
0.264	0.073520460482	0.398674390501
0.266	-0.25684407678	0.327842819165
0.268	-0.561016520948	0.221765583443
0.27	-0.803997130367	0.0918186305716
0.272	-0.956534318458	-0.0476766179392
0.274	-0.998872773839	-0.180945323485
0.276	-0.923608527512	-0.292554268022
0.278	-0.737224220687	-0.36923652253
0.28	-0.460004337399	-0.401569343993
0.282	-0.124209975016	-0.385273154353
0.284	0.229391700378	-0.321913093302
0.286	0.556321747505	-0.218944847533
0.288	0.813978533842	-0.0889911293489
0.29	0.967335548397	0.0515906647373
0.292	0.993983365253	0.18469394987
0.294	0.887771964961	0.292783984737
0.296	0.660438623999	0.361287640789
0.298	0.34083783844	0.380654801732
0.3	-0.0282988580831	0.34784015097
0.302	-0.395790991607	0.266978776093
0.304	-0.708994368137	0.149057165294
0.306	-0.921423852412	0.010571256438
0.308	-0.999916880969	-0.128667995736
0.31	-0.930215730829	-0.248321629827
0.312	-0.719994835565	-0.330534325019
0.314	-0.398676969865	-0.362709413276
0.316	-0.0138364029948	-0.339591080364
0.318	0.375481151499	-0.26434516315
0.32	0.707662478887	-0.148318162058
0.322	0.928357307357	-0.00951901076012
0.324	0.999675596651	0.130035278647
0.326	0.907169758283	0.247783654767
0.328	0.663267499345	0.32429847831
0.33	0.306324019607	0.346625470101
0.332	-0.104841209113	0.310655090696
0.334	-0.500272317519	0.22210558757
0.336	-0.810677339119	0.0958492379036
0.338	-0.979751924263	-0.046393078631
0.34	-0.974827846675	-0.179698513186
0.342	-0.793783880496	-0.280272386364
0.344	-0.466692607665	-0.329787034312
0.346	-0.0515508332403	-0.318900847188
0.348	0.375481151499	-0.24924817963
0.35	0.733815325277	-0.133457026402
0.352	0.95374058882	0.00689940964915
0.354	0.990398926888	0.145188941068
0.356	0.833581948853	0.254712291753
0.358	0.511124163235	0.313929279044
0.36	0.0848059244755	0.310856311678
0.362	-0.360862151775	0.245749729252
0.364	-0.735095842789	0.13139204189
0.366	-0.959420452999	-0.00917790402071
0.368	-0.984588542773	-0.147112155277
0.37	-0.802123192755	-0.253645773433
0.372	-0.447674729438	-0.306159940948
0.374	0.00503155859502	-0.293174418917
0.376	0.458887067862	-0.21713056473
0.378	0.813978533842	-0.0942340173218
0.38	0.989780715724	0.0487428048966
0.382	0.944024202752	0.180150160213
0.384	0.683721398062	0.270426881986
0.386	0.265343883174	0.298884527643
0.388	-0.216516368133	0.258687529286
0.39	-0.649985923054	0.158791824231
0.392	-0.931822534575	0.0222632934093
0.394	-0.992450033142	-0.118825389842
0.396	-0.813978533842	-0.230829580566
0.398	-0.436391556389	-0.286609410606
0.4	0.0502945703634	-0.272315180015
0.402	0.526715232355	-0.191117955111
0.404	0.873167437243	-0.0628671102304
0.406	0.999999950553	0.0805004968172
0.408	0.871630313141	0.202754283675
0.41	0.517596560462	0.272539449085
0.412	0.0270414448477	0.271598540686
0.414	-0.472800178052	0.199860191543
0.416	-0.84921256033	0.0758779112102
0.418	-0.99949563492	-0.0676450080899
0.42	-0.879827995816	-0.192303468264
0.422	-0.51921006732	-0.264276976846
0.424	-0.0138364029948	-0.263666085016
0.426	0.497546920454	-0.190325945707
0.428	0.871321853448	-0.0643598155018
0.43	0.999642767662	0.0790649388269
0.432	0.842503222037	0.19936011601
0.434	0.441477636154	0.262009277891
0.436	-0.0898182833182	0.248685564931
0.438	-0.5969063155	0.162959821294
0.44	-0.929056972954	0.0297427518533
0.442	-0.984588542773	-0.111647429208
0.444	-0.743144825477	-0.21892690848
0.446	-0.274427971826	-0.259573134633
0.448	0.280470511245	-0.220941296592
0.45	0.750672305253	-0.114595726438
0.452	0.988102965062	0.0267598328195
0.454	0.914946976958	0.159060621178
0.456	0.550559498954	0.24054470244
0.458	0.00817622611609	0.24510321878
0.46	-0.53895622236	0.170986806166
0.462	-0.912390628316	0.0418854625865
0.464	-0.987116145889	-0.100266096418
0.466	-0.734669294179	-0.208730384128
0.468	-0.235508883803	-0.24738063421
0.47	0.344973533795	-0.203042738092
0.472	0.810308934349	-0.0903789689306
0.474	0.999515410406	0.0525054183125
0.476	0.843855788572	0.17669464908
0.478	0.393479389461	0.239157365437
0.48	-0.196824941468	0.217916139156
0.482	-0.719558216581	0.120119646682
0.484	-0.98721658561	-0.0197910750039
0.486	-0.900441917217	-0.151965619337
0.488	-0.486596398214	-0.228755900594
0.49	0.106717465371	-0.222103695427
0.492	0.662796674964	-0.134168382724
0.494	0.974546616643	0.00286566672623
0.496	0.922398468218	0.138190946128
0.498	0.521895134856	0.22107818706
0.5	-0.0785374715657	0.22005829335
0.502	-0.650941341118	0.135251873731
0.504	-0.973836796185	-0.00105802782467
0.506	-0.918713607042	-0.136321343254
0.508	-0.502992767209	-0.217831414438
0.51	0.112968871429	-0.213427374144
0.512	0.686012864031	-0.12459382458
0.514	0.985669007931	0.013504779761
0.516	0.887771964961	0.145540983948
0.518	0.427883764942	0.218058976167
0.52	-0.209141932938	0.201317941016
0.522	-0.761782833333	0.101944458346
0.524	-0.998902430957	-0.039170481568
0.526	-0.81761593449	-0.163301263417
0.528	-0.290115398123	-0.218262381066
0.53	0.362621213782	-0.180608092314
0.532	0.861908343052	-0.0661390346723
0.534	0.990398926888	0.0762059260937
0.536	0.688297545769	0.184940431929
0.538	0.0835524943364	0.212608417214
0.54	-0.559974786138	0.146872109174
0.542	-0.956534318458	0.0165102220567
0.544	-0.926001232517	-0.120600216009
0.546	-0.477780461796	-0.203021354474
0.548	0.188802074339	-0.193408463894
0.55	0.771074212699	-0.0959038581548
0.552	0.999995994807	0.0450723688483
0.554	0.765842265421	0.164630745875
0.556	0.173338472909	0.207210572806
0.558	-0.502449074353	0.152723705624
0.56	-0.942352461534	0.0265835218934
0.562	-0.934311008126	-0.111588712839
0.564	-0.477780461796	-0.195877922777
0.566	0.210986675024	-0.185660348282
0.568	0.799108400737	-0.0856574707579
0.57	0.997497796594	0.0556218369839
0.572	0.704544947844	0.168992550385
0.574	0.0609700675507	0.198417116228
0.576	-0.614917775389	0.129089210417
0.578	-0.983355048166	-0.00452473568802
0.58	-0.854809891307	-0.135262533231
0.582	-0.290115398123	-0.196833076628
0.584	0.425039334025	-0.157661995111
0.586	0.922641210216	-0.0376628908792
0.588	0.941930796861	0.101281348584
0.59	0.468360536333	0.186888013913
0.592	-0.253195168105	0.174201923577
0.594	-0.842503222037	0.0697067173102
0.596	-0.983921565969	-0.071320732566
0.598	-0.597410808851	-0.173627768535
0.6	0.112968871429	-0.1821397497
0.602	0.763816326206	-0.0920705614056
0.604	0.998380508528	0.0477305427987
0.606	0.683721398062	0.160763429091
0.608	-0.0106919034082	0.184651519189
0.61	-0.700965336768	0.105973647667
0.612	-0.999675596651	-0.0315297709847
0.614	-0.734669294179	-0.150715301222
0.616	-0.0515508332403	-0.184167347071
0.618	0.662796674964	-0.112707201056
0.62	0.997715189196	0.0229545983566
0.622	0.756049039286	0.144801258109
0.624	0.073520460482	0.182205452141
0.626	-0.653801409366	0.113217769251
0.628	-0.997585937512	-0.0218797274866
0.63	-0.750672305253	-0.143472517684
0.632	-0.0553191245076	-0.179355737876
0.634	0.674952355571	-0.107957315233
0.636	0.999515410406	0.0280036550476
0.638	0.717808895982	0.146443842443
0.64	-0.00314473220775	0.175316661505
0.642	-0.723911569196	0.0968189580714
0.644	-0.998872773839	-0.040912325729
0.646	-0.653325376795	-0.15272121735
0.648	0.101713289197	-0.168956322265
0.65	0.794548303912	-0.0793025320778
0.652	0.986194621697	0.0599193301254
0.654	0.550559498954	0.160576403599
0.656	-0.238563997083	0.15846582161
0.658	-0.875912490087	0.0547926292134
0.66	-0.94749724672	-0.0837542924365
0.662	-0.402134936953	-0.167394713665
0.664	0.407885465207	-0.141514396986
0.666	0.951056516295	-0.0229328410021
0.668	0.865395771316	0.110263767265
0.67	0.202987452027	0.169750864154
0.672	-0.5969063155	0.115758941648
0.674	-0.99642410851	-0.0156484861908
0.676	-0.721738461656	-0.135931472055
0.678	0.0452687429245	-0.163494813376
0.68	0.782950626208	-0.0794157167253
0.682	0.982894831826	0.0587718568466
0.684	0.502449074353	0.15582894516
0.686	-0.328985436764	0.144399630646
0.688	-0.931822534575	0.0323258849804
0.69	-0.879827995816	-0.101933772512
0.692	-0.204834650496	-0.163758545766
0.694	0.617394643058	-0.109248903669
0.696	0.999515410406	0.0228807498315
0.698	0.663267499345	0.138048733331
0.7	-0.153483051896	0.15327902249
0.702	-0.860309500361	0.0574318925241
0.704	-0.93958501797	-0.0798215084646
0.706	-0.32839143462	-0.158058026598
0.708	0.526715232355	-0.119641502883
0.71	0.992294967655	0.00712317838257
0.712	0.717808895982	0.128051061297
0.714	-0.0960805193255	0.152731757546
0.716	-0.839098495401	0.0625197188084
0.718	-0.947094267786	-0.0745360039803
0.72	-0.333139794742	-0.154401592717
0.722	0.537365912802	-0.116057569778
0.724	0.995582656697	0.0111780557765
0.726	0.683721398062	0.129250530135
0.728	-0.160936552771	0.146619050657
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