time (sec)	input	output
0.0	0.0	0.0
0.002	0.00125789462466	1.00641179406e-06
0.004	0.00503155859502	8.84271950431e-06
0.006	0.0113208127795	3.88174754652e-05
0.008	0.0201249605727	0.000116253835634
0.01	0.0314421909191	0.000276034439714
0.012	0.0452687429244	0.000562725173427
0.014	0.0615978328313	0.00102989809934
0.016	0.0804183449306	0.00174000840966
0.018	0.101713289197	0.00276396463897
0.02	0.12545803018	0.00418038558369
0.022	0.151618294022	0.00607528888362
0.024	0.180147963528	0.00854156883252
0.026	0.210986675024	0.0116783008506
0.028	0.244057235399	0.0155901720894
0.03	0.279262883293	0.02038567487
0.032	0.316484424918	0.0261777437054
0.034	0.355577282439	0.0330818697104
0.036	0.396368501302	0.0412149345077
0.038	0.438653772233	0.0506948051064
0.04	0.482194533802	0.0616385123557
0.042	0.526715232355	0.0741586491716
0.044	0.571900827501	0.0883663929685
0.046	0.617394643058	0.104366763179
0.048	0.662796674964	0.122255844034
0.05	0.707662478887	0.142122027345
0.052	0.751502770542	0.164042048342
0.054	0.793783880496	0.18807873744
0.056	0.833929211912	0.214279096483
0.058	0.871321853448	0.242672017131
0.06	0.905308499583	0.273265869276
0.062	0.93520482614	0.306045981486
0.064	0.96030245874	0.340972248522
0.066	0.979877655381	0.377976599277
0.068	0.993201800457	0.416961046312
0.07	0.999553775222	0.457795406844
0.072	0.998234228392	0.500313666723
0.074	0.988581719497	0.544316826734
0.076	0.969990646375	0.589562513936
0.078	0.941930796861	0.635779382002
0.08	0.903968283462	0.682650259367
0.082	0.855787529514	0.72981951463
0.084	0.797213877396	0.776895742186
0.086	0.728236285779	0.823447916398
0.088	0.649029476517	0.869012051556
0.09	0.559974786138	0.913091368417
0.092	0.461678876405	0.95516199491
0.094	0.354989368349	0.994677378505
0.096	0.2410063905	1.03107426755
0.098	0.121088981574	1.06377923351
0.1	-0.00314473220774	1.09221826906
0.102	-0.129824647016	1.11582403885
0.104	-0.25684407678	1.13404650987
0.106	-0.381884315773	1.14636337249
0.108	-0.502449074353	1.15229102843
0.11	-0.615909253567	1.15139669029
0.112	-0.719558216581	1.14330984525
0.114	-0.810677339119	1.12773413721
0.116	-0.886611180052	1.10445890009
0.118	-0.944851113626	1.07336846908
0.12	-0.983125717796	1.03445262274
0.122	-0.99949563492	0.987815473445
0.124	-0.992450033142	0.933682475144
0.126	-0.961001226065	0.872396929229
0.128	-0.904773486745	0.804429236458
0.13	-0.824081656103	0.730371359859
0.132	-0.719994835565	0.650931231597
0.134	-0.594380310922	0.566925202808
0.136	-0.449922920828	0.479268891595
0.138	-0.290115398123	0.388947003846
0.14	-0.119215808736	0.297011251197
0.142	0.0578308843413	0.204552467542
0.144	0.235508883803	0.112674470469
0.146	0.407885465207	0.0224648610278
0.148	0.568801123103	-0.0650305473796
0.15	0.712092285431	-0.148837509801
0.152	0.83184069015	-0.228080192193
0.154	0.922641210216	-0.302008714174
0.156	0.979877655381	-0.37002166812
0.158	0.999994016935	-0.431686313587
0.16	0.98074691722	-0.486751416787
0.162	0.921423852412	-0.535155615948
0.164	0.82301134823	-0.577027662172
0.166	0.688297545769	-0.612680408096
0.168	0.521895134856	-0.642593538477
0.17	0.330173050401	-0.667393010241
0.172	0.121088981574	-0.687818788752
0.174	-0.0960805193255	-0.704692280574
0.176	-0.31110982006	-0.718869764837
0.178	-0.513284882209	-0.731191882897
0.18	-0.691938868978	-0.742452748846
0.182	-0.837039718333	-0.753342266371
0.184	-0.939800130673	-0.764405652512
0.186	-0.993274816802	-0.776011047023
0.188	-0.992905806514	-0.788318162134
0.19	-0.936974699267	-0.801262049459
0.192	-0.826921456735	-0.814561265251
0.194	-0.667493089723	-0.827706764059
0.196	-0.466692607665	-0.84000287719
0.198	-0.235508883803	-0.850596739141
0.2	0.0125786178387	-0.858533964862
0.202	0.262310565504	-0.862814065318
0.204	0.497546920454	-0.862458377431
0.206	0.702309775427	-0.856579035266
0.208	0.861908343052	-0.844444661471
0.21	0.964070346816	-0.825541318797
0.212	0.999994016935	-0.799622446601
0.214	0.965230546071	-0.766739781645
0.216	0.860309500361	-0.727258606796
0.218	0.69103017686	-0.681847167813
0.22	0.468360536333	-0.631450408216
0.222	0.207911690818	-0.577240958016
0.224	-0.0710112490129	-0.52052683653
0.226	-0.346743932391	-0.462700250207
0.228	-0.5969063155	-0.405120027679
0.23	-0.800241322654	-0.349025342682
0.232	-0.938503881017	-0.295442372834
0.234	-0.998234228392	-0.245113601756
0.236	-0.972241301393	-0.198438820712
0.238	-0.86062995004	-0.155457040463
0.24	-0.671231219341	-0.115846199388
0.242	-0.419337890257	-0.0789579340335
0.244	-0.126705886833	-0.0439028011141
0.246	0.180147963528	-0.00962098200253
0.248	0.472245875131	0.024989657748
0.25	0.720867218925	0.0609557695152
0.252	0.900441917217	0.0991105086648
0.254	0.991331611231	0.139988331752
0.256	0.982192843987	0.183751105416
0.258	0.871630313141	0.230140699044
0.26	0.668896873744	0.278496848998
0.262	0.393479389461	0.327780074513
0.264	0.073520460482	0.37667140535
0.266	-0.25684407678	0.423694755083
0.268	-0.561016520948	0.467356893657
0.27	-0.803997130367	0.506310638625
0.272	-0.956534318458	0.539482853813
0.274	-0.998872773839	0.566204253256
0.276	-0.923608527512	0.586279991572
0.278	-0.737224220687	0.600016377678
0.28	-0.460004337399	0.608184965191
0.282	-0.124209975016	0.611938796159
0.284	0.229391700378	0.612649455984
0.286	0.556321747505	0.611771534439
0.288	0.813978533842	0.610631814675
0.29	0.967335548397	0.610265736425
0.292	0.993983365253	0.61127567233
0.294	0.887771964961	0.613741678926
0.296	0.660438623999	0.617212839149
0.298	0.34083783844	0.620748458723
0.3	-0.0282988580831	0.623065638445
0.302	-0.395790991607	0.622695469997
0.304	-0.708994368137	0.618210966202
0.306	-0.921423852412	0.60843564821
0.308	-0.999916880969	0.592633763636
0.31	-0.930215730829	0.570636993955
0.312	-0.719994835565	0.542893567141
0.314	-0.398676969865	0.510433804701
0.316	-0.0138364029948	0.47471731106
0.318	0.375481151499	0.437467304492
0.32	0.707662478887	0.400401518058
0.322	0.928357307357	0.364987233078
0.324	0.999675596651	0.332221110037
0.326	0.907169758283	0.302483661534
0.328	0.663267499345	0.275484427188
0.33	0.306324019607	0.250336473752
0.332	-0.104841209113	0.225698706317
0.334	-0.500272317519	0.200035162289
0.336	-0.810677339119	0.171897608493
0.338	-0.979751924263	0.140204947386
0.34	-0.974827846675	0.104464864179
0.342	-0.793783880496	0.0648988035092
0.344	-0.466692607665	0.0224320607862
0.346	-0.0515508332403	-0.0214276150081
0.348	0.375481151499	-0.0648424240257
0.35	0.733815325277	-0.105951993983
0.352	0.95374058882	-0.143205248449
0.354	0.990398926888	-0.17563262144
0.356	0.833581948853	-0.203022107114
0.358	0.511124163235	-0.225952589092
0.36	0.0848059244755	-0.245652666798
0.362	-0.360862151775	-0.263770756741
0.364	-0.735095842789	-0.282003927178
0.366	-0.959420452999	-0.301752608972
0.368	-0.984588542773	-0.32379805275
0.37	-0.802123192755	-0.348114232008
0.372	-0.447674729438	-0.373857414794
0.374	0.00503155859502	-0.399505287648
0.376	0.458887067862	-0.423173375873
0.378	0.813978533842	-0.443006385529
0.38	0.989780715724	-0.457579661231
0.382	0.944024202752	-0.466213366155
0.384	0.683721398062	-0.469130402487
0.386	0.265343883174	-0.467424401862
0.388	-0.216516368133	-0.462787317423
0.39	-0.649985923054	-0.457178562383
0.392	-0.931822534575	-0.452321531117
0.394	-0.992450033142	-0.449332808897
0.396	-0.813978533842	-0.448431918045
0.398	-0.436391556389	-0.448899808859
0.4	0.0502945703634	-0.449235000671
0.402	0.526715232355	-0.447533404897
0.404	0.873167437243	-0.441964676962
0.406	0.999999950553	-0.431249914252
0.408	0.871630313141	-0.415005957559
0.41	0.517596560462	-0.393880798199
0.412	0.0270414448477	-0.369394519881
0.414	-0.472800178052	-0.343611735418
0.416	-0.84921256033	-0.318601855084
0.418	-0.99949563492	-0.295922767184
0.42	-0.879827995816	-0.276219935594
0.422	-0.51921006732	-0.25906494873
0.424	-0.0138364029948	-0.243089262512
0.426	0.497546920454	-0.226375271028
0.428	0.871321853448	-0.207012418708
0.43	0.999642767662	-0.183662663206
0.432	0.842503222037	-0.155976848894
0.434	0.441477636154	-0.124737138024
0.436	-0.0898182833182	-0.0916765444975
0.438	-0.5969063155	-0.0590153733934
0.44	-0.929056972954	-0.0288469825837
0.442	-0.984588542773	-0.00254879362515
0.444	-0.743144825477	0.0196145117603
0.446	-0.274427971826	0.0385364736105
0.448	0.280470511245	0.0560018572876
0.45	0.750672305253	0.0741049507397
0.452	0.988102965062	0.0945808006197
0.454	0.914946976958	0.118230198803
0.456	0.550559498954	0.144630031942
0.458	0.00817622611609	0.172226278431
0.46	-0.53895622236	0.198796215163
0.462	-0.912390628316	0.222133898731
0.464	-0.987116145889	0.240748253697
0.466	-0.734669294179	0.254339048931
0.468	-0.235508883803	0.263893915678
0.47	0.344973533795	0.271344803213
0.472	0.810308934349	0.278925465568
0.474	0.999515410406	0.288391097505
0.476	0.843855788572	0.300396752561
0.478	0.393479389461	0.314270882108
0.48	-0.196824941468	0.328193445255
0.482	-0.719558216581	0.339840600505
0.484	-0.98721658561	0.347189179365
0.486	-0.900441917217	0.349240742122
0.488	-0.486596398214	0.346398213699
0.49	0.106717465371	0.340310340343
0.492	0.662796674964	0.333326077135
0.494	0.974546616643	0.32760958737
0.496	0.922398468218	0.324357596114
0.498	0.521895134856	0.323347714899
0.5	-0.0785374715657	0.32302479666
0.502	-0.650941341118	0.321082762999
0.504	-0.973836796185	0.315368555688
0.506	-0.918713607042	0.30472396577
0.508	-0.502992767209	0.28948042781
0.51	0.112968871429	0.271326012953
0.512	0.686012864031	0.252729607681
0.514	0.985669007931	0.235954458759
0.516	0.887771964961	0.222181619667
0.518	0.427883764942	0.21105255553
0.52	-0.209141932938	0.200827185093
0.522	-0.761782833333	0.189114213351
0.524	-0.998902430957	0.17388333861
0.526	-0.81761593449	0.154346284607
0.528	-0.290115398123	0.131329810996
0.53	0.362621213782	0.106975001272
0.532	0.861908343052	0.0838721261931
0.534	0.990398926888	0.0639862323517
0.536	0.688297545769	0.047834777458
0.538	0.0835524943364	0.0342989709263
0.54	-0.559974786138	0.0211063019639
0.542	-0.956534318458	0.00587777199623
0.544	-0.926001232517	-0.0127935520556
0.546	-0.477780461796	-0.0346673135654
0.548	0.188802074339	-0.057919681534
0.55	0.771074212699	-0.0799236840119
0.552	0.999995994807	-0.0984144741804
0.554	0.765842265421	-0.112503632873
0.556	0.173338472909	-0.123075635881
0.558	-0.502449074353	-0.13236289828
0.56	-0.942352461534	-0.142883951212
0.562	-0.934311008126	-0.156228607388
0.564	-0.477780461796	-0.172271765439
0.566	0.210986675024	-0.189196558858
0.568	0.799108400737	-0.20433881002
0.57	0.997497796594	-0.21545737568
0.572	0.704544947844	-0.221820451326
0.574	0.0609700675507	-0.224563356668
0.576	-0.614917775389	-0.226132809012
0.578	-0.983355048166	-0.229060550875
0.58	-0.854809891307	-0.234690832651
0.582	-0.290115398123	-0.242481147985
0.584	0.425039334025	-0.250261490199
0.586	0.922641210216	-0.255332657755
0.588	0.941930796861	-0.255850320443
0.59	0.468360536333	-0.25181837542
0.592	-0.253195168105	-0.245070923616
0.594	-0.842503222037	-0.238355548893
0.596	-0.983921565969	-0.23388741671
0.598	-0.597410808851	-0.232176640431
0.6	0.112968871429	-0.2317548704
0.602	0.763816326206	-0.229969563353
0.604	0.998380508528	-0.224433811851
0.606	0.683721398062	-0.214358742441
0.608	-0.0106919034082	-0.201003388672
0.61	-0.700965336768	-0.187041870388
0.612	-0.999675596651	-0.175090748461
0.614	-0.734669294179	-0.166266436331
0.616	-0.0515508332403	-0.159592933115
0.618	0.662796674964	-0.152539296517
0.62	0.997715189196	-0.142504526176
0.622	0.756049039286	-0.12833807699
0.624	0.073520460482	-0.111045406622
0.626	-0.653801409366	-0.0932552471661
0.628	-0.997585937512	-0.0777188093119
0.63	-0.750672305253	-0.0657314294509
0.632	-0.0553191245076	-0.0563849683124
0.634	0.674952355571	-0.0471262638698
0.636	0.999515410406	-0.0353121802345
0.638	0.717808895982	-0.0198441197313
0.64	-0.00314473220775	-0.00185976325116
0.642	-0.723911569196	0.0158853866375
0.644	-0.998872773839	0.0306892708648
0.646	-0.653325376795	0.0415312962051
0.648	0.101713289197	0.0496775274987
0.65	0.794548303912	0.0578922458543
0.652	0.986194621697	0.0686689787496
0.654	0.550559498954	0.0826241604234
0.656	-0.238563997083	0.0980675495025
0.658	-0.875912490087	0.112040202262
0.66	-0.94749724672	0.122188355089
0.662	-0.402134936953	0.12826396483
0.664	0.407885465207	0.132280612616
0.666	0.951056516295	0.137192627644
0.668	0.865395771316	0.144935650169
0.67	0.202987452027	0.155124078967
0.672	-0.5969063155	0.165282435283
0.674	-0.99642410851	0.172471732723
0.676	-0.721738461656	0.175259217155
0.678	0.0452687429245	0.17468831359
0.68	0.782950626208	0.173580288906
0.682	0.982894831826	0.174608602285
0.684	0.502449074353	0.178458153779
0.686	-0.328985436764	0.183338537295
0.688	-0.931822534575	0.18621995331
0.69	-0.879827995816	0.184946850291
0.692	-0.204834650496	0.179771312623
0.694	0.617394643058	0.17319598695
0.696	0.999515410406	0.168219894912
0.698	0.663267499345	0.166210103042
0.7	-0.153483051896	0.165924225795
0.702	-0.860309500361	0.16441038443
0.704	-0.93958501797	0.159160457408
0.706	-0.32839143462	0.149965572204
0.708	0.526715232355	0.139105384344
0.71	0.992294967655	0.129702994387
0.712	0.717808895982	0.123432102705
0.714	-0.0960805193255	0.119301071874
0.716	-0.839098495401	0.114388853209
0.718	-0.947094267786	0.106079006693
0.72	-0.333139794742	0.0940705458877
0.722	0.537365912802	0.0806506448873
0.724	0.995582656697	0.0689868536082
0.726	0.683721398062	0.0607229806521
0.728	-0.160936552771	0.0547462591448
0.73	-0.88131831211	0.0480471738255
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