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#vel[0] v time
0.0000000000000	0.0000000000000
0.1250000000000	0.4107051878437
0.2500000000000	0.4822727837859
0.3750000000000	0.5176482344358
0.5000000000000	0.5401995082898
0.6250000000000	0.5569562615232
0.7500000000000	0.5739656064174
0.8750000000000	0.6076048234315
1.0000000000000	0.6328482647648
1.1250000000000	0.6515541611097
1.2500000000000	0.6655747170474
1.3750000000000	0.6763390726055
1.5000000000000	0.6845591362475
1.6250000000000	0.6907710622225
1.7500000000000	0.6954029128477
1.8750000000000	0.6988982056229
2.0000000000000	0.7013968432797
2.1250000000000	0.7029762515138
2.2500000000000	0.7061454826140
2.3750000000000	0.7103179168564
2.5000000000000	0.7137785341071
2.6250000000000	0.7165817210708
2.7500000000000	0.7188627341481
2.8750000000000	0.7206722610651
3.0000000000000	0.7219744689438
3.1250000000000	0.7227038512927
3.2500000000000	0.7228086291917
3.3750000000000	0.7227783077515
3.5000000000000	0.7241079136648
3.6250000000000	0.7250896683831
3.7500000000000	0.7257564223683
3.8750000000000	0.7261998338294
4.0000000000000	0.7264175333748
4.1250000000000	0.7263836350138
4.2500000000000	0.7260587506846
4.3750000000000	0.7254420346484
4.5000000000000	0.7256860764357
4.6250000000000	0.7258714208040
4.7500000000000	0.7259284772838
4.8750000000000	0.7258327250012
5.0000000000000	0.7256037663225
5.1250000000000	0.7252596172151
5.2500000000000	0.7248015217257
5.3750000000000	0.7244260087417
5.5000000000000	0.7243996285193
5.6250000000000	0.7243017151258
5.7500000000000	0.7241234929619
5.8750000000000	0.7238696671884
6.0000000000000	0.7235435574795
6.1250000000000	0.7231622928276
6.2500000000000	0.7227555846924
6.3750000000000	0.7225892106732
6.5000000000000	0.7224573044129
6.6250000000000	0.7222749604164
6.7500000000000	0.7220382075414
6.8750000000000	0.7270193065698
7.0000000000000	0.7327048272279
7.1250000000000	0.7374019527211
7.2500000000000	0.7412638656521
7.3750000000000	0.7444278449735
7.5000000000000	0.7470172876031
7.6250000000000	0.7491286438061
7.7500000000000	0.7536597294618
7.8750000000000	0.7575441741055
8.0000000000000	0.7607862786697
8.1250000000000	0.7635267354020
8.2500000000000	0.7658647761111
8.3750000000000	0.7678856772271
8.5000000000000	0.7696450738766
8.6250000000000	0.7711789621004
8.7500000000000	0.7725122254686
8.8750000000000	0.7736733051955
9.0000000000000	0.7754020504123
9.1250000000000	0.7775014965341
9.2500000000000	0.7793111786332
9.3750000000000	0.7808747216318
9.5000000000000	0.7822273905302
9.6250000000000	0.7833996958179
9.7500000000000	0.7844109647692
9.8750000000000	0.7852830366941
10.0000000000000	0.7863818498554
10.1250000000000	0.7880050272961
10.2500000000000	0.7894030199204
10.3750000000000	0.7906126645478
10.5000000000000	0.7916645612262
10.6250000000000	0.7925829739896
10.7500000000000	0.7933904173779
10.8750000000000	0.7941082219702
11.0000000000000	0.7954917998468
11.1250000000000	0.7969662197245
11.2500000000000	0.7982879194368
11.3750000000000	0.7994732995726
11.5000000000000	0.8005377813134
11.6250000000000	0.8014949806438
11.7500000000000	0.8023563084791
11.8750000000000	0.8031316257513
12.0000000000000	0.8038297986076
12.1250000000000	0.8044527333807
12.2500000000000	0.8049922239116
12.3750000000000	0.8054564053974
12.5000000000000	0.8058585577228