Xu, Duo; Song, Baofang; Avila, Marc (2022): Optimal growth (classic, Re=2000,A=1,Wo=15): time series for selected t0 [dataset]. PANGAEA, https://doi.org/10.1594/PANGAEA.949055
Always quote citation above when using data! You can download the citation in several formats below.
Published: 2022-09-26 • DOI registered: 2023-01-13
Abstract:
The data are obtained via an in-house Matlab script (developed by Dr. Baofang Song) to compute the non-modal transient growth of disturbances in pulsatile and oscillatory pipe flows. In this study, a Newtonian fluid driven by pulsatile and oscillatory flow rate flows in a straight pipe. In pulsatile flow, there are three governing parameters: steady Reynolds number (defined by the steady flow component), pulsation amplitude (ratio of oscillatory and steady flow component) and Womersley number (dimensionless pulsation and oscillation frequency). In oscillatory flow, due to vanishment of steady flow component, oscillatory Reynolds number (defined by the oscillation flow component) and Womersley number. The Reynolds number defined by the thickness of Stokes layer is alternatively used for the oscillatory Reynolds number. The study was carried out in a manner that one governing parameter varies while other governing parameters are fixed.
The data file 'time_TG_all.dat' shows the maximum energy amplification over all modes at each time instant.
This file includes three columns: the first column indicates dimensionless time; the second column indicates the time normalized by the pulsation period; the third column indicates the energy amplification at a time instant (first column).
Comment:
#(Re,A,Wo)=(2000,1.00,15.00)
VARIABLES = VARIABLES = k_z, k_theta, phase, time, G(t)
ZONE T="enveloped TG", I=10000, J=1
Parameter(s):
License:
Creative Commons Attribution 4.0 International (CC-BY-4.0)
Status:
Curation Level: Enhanced curation (CurationLevelC) * Processing Level: PANGAEA data processing level 2 (ProcLevel2)
Size:
2805 data points
Data
| 1 k_z | 2 k_θ | 3 phi | 4 t | 5 TG |
|---|---|---|---|---|
| 0 | 1 | 0.0 | 0.00000000 | 1.00000000 |
| 0 | 1 | 0.0 | 11.17500000 | 25.97449099 |
| 0 | 1 | 0.0 | 22.35000000 | 78.99767241 |
| 0 | 1 | 0.0 | 33.50000000 | 137.79759002 |
| 0 | 1 | 0.0 | 44.67500000 | 188.36050896 |
| 0 | 1 | 0.0 | 55.85000000 | 227.41412554 |
| 0 | 1 | 0.0 | 67.02500000 | 257.70766428 |
| 0 | 1 | 0.0 | 78.20000000 | 279.91377959 |
| 0 | 1 | 0.0 | 89.35000000 | 291.61424087 |
| 0 | 1 | 0.0 | 100.52500000 | 292.42259403 |
| 0 | 1 | 0.0 | 111.70000000 | 285.71873527 |
| 0 | 1 | 0.0 | 122.87500000 | 275.43655788 |
| 0 | 1 | 0.0 | 134.05000000 | 262.84337252 |
| 0 | 1 | 0.0 | 145.20000000 | 247.39539931 |
| 0 | 1 | 0.0 | 156.37500000 | 229.27228011 |
| 0 | 1 | 0.0 | 167.55000000 | 210.20047093 |
| 0 | 1 | 0.0 | 178.72500000 | 191.75520518 |
| 0 | 1 | 0.0 | 189.90000000 | 174.24256810 |
| 0 | 1 | 0.0 | 201.05000000 | 157.29196691 |
| 0 | 1 | 0.0 | 212.22500000 | 140.79925479 |
| 0 | 1 | 0.0 | 223.40000000 | 125.31905920 |
| 0 | 1 | 0.0 | 234.57500000 | 111.27953475 |
| 0 | 1 | 0.0 | 245.75000000 | 98.62588828 |
| 0 | 1 | 0.0 | 256.90000000 | 87.09385032 |
| 0 | 1 | 0.0 | 268.07500000 | 76.50954160 |
| 0 | 1 | 0.0 | 279.25000000 | 66.98348335 |
| 0 | 1 | 0.0 | 290.42500000 | 58.56977110 |
| 0 | 1 | 0.0 | 301.60000000 | 51.15992962 |
| 0 | 1 | 0.0 | 312.77500000 | 44.57808806 |
| 0 | 1 | 0.0 | 323.92500000 | 38.73177833 |
| 0 | 1 | 0.0 | 335.10000000 | 33.56900523 |
| 0 | 1 | 0.0 | 346.27500000 | 29.07303967 |
| 0 | 1 | 0.0 | 357.45000000 | 25.16380957 |
| 0 | 1 | 0.0 | 368.62500000 | 21.74520396 |
| 0 | 1 | 0.0 | 379.77500000 | 18.75728969 |
| 0 | 1 | 0.0 | 390.95000000 | 16.15142879 |
| 0 | 1 | 0.0 | 402.12500000 | 13.90126222 |
| 0 | 1 | 0.0 | 413.30000000 | 11.95999927 |
| 0 | 1 | 0.0 | 424.47500000 | 10.27863589 |
| 0 | 1 | 0.0 | 435.62500000 | 8.82379228 |
| 0 | 1 | 0.0 | 446.80000000 | 7.56490296 |
| 0 | 1 | 0.0 | 457.97500000 | 6.48371463 |
| 0 | 1 | 0.0 | 469.15000000 | 5.55566727 |
| 0 | 1 | 0.0 | 480.32500000 | 4.75688481 |
| 0 | 1 | 0.0 | 491.47500000 | 4.07024267 |
| 0 | 1 | 0.0 | 502.65000000 | 3.47915028 |
| 0 | 1 | 0.0 | 513.82500000 | 2.97331687 |
| 0 | 1 | 0.0 | 525.00000000 | 2.54060310 |
| 0 | 1 | 0.0 | 536.17500000 | 2.16972482 |
| 0 | 1 | 0.0 | 547.32500000 | 1.85232281 |
| 0 | 1 | 0.0 | 558.50000000 | 1.58004461 |
| 0 | 1 | 0.1 | 5.58505361 | 1.00000000 |
| 0 | 1 | 0.1 | 16.76005361 | 27.77868918 |
| 0 | 1 | 0.1 | 27.93505361 | 81.71792996 |
| 0 | 1 | 0.1 | 39.08505361 | 138.98181283 |
| 0 | 1 | 0.1 | 50.26005361 | 188.01703524 |
| 0 | 1 | 0.1 | 61.43505361 | 227.74066213 |
| 0 | 1 | 0.1 | 72.61005361 | 259.78773084 |
| 0 | 1 | 0.1 | 83.78505361 | 282.26675525 |
| 0 | 1 | 0.1 | 94.93505361 | 292.62914447 |
| 0 | 1 | 0.1 | 106.11005361 | 292.44921395 |
| 0 | 1 | 0.1 | 117.28505361 | 286.13694795 |
| 0 | 1 | 0.1 | 128.46005361 | 276.67672850 |
| 0 | 1 | 0.1 | 139.63505361 | 264.09797290 |
| 0 | 1 | 0.1 | 150.78505361 | 247.96993525 |
| 0 | 1 | 0.1 | 161.96005361 | 229.40535826 |
| 0 | 1 | 0.1 | 173.13505361 | 210.50468250 |
| 0 | 1 | 0.1 | 184.31005361 | 192.37526687 |
| 0 | 1 | 0.1 | 195.48505361 | 174.83151885 |
| 0 | 1 | 0.1 | 206.63505361 | 157.58912478 |
| 0 | 1 | 0.1 | 217.81005361 | 140.91823930 |
| 0 | 1 | 0.1 | 228.98505361 | 125.49855406 |
| 0 | 1 | 0.1 | 240.16005361 | 111.56651060 |
| 0 | 1 | 0.1 | 251.33505361 | 98.88832453 |
| 0 | 1 | 0.1 | 262.48505361 | 87.24065427 |
| 0 | 1 | 0.1 | 273.66005361 | 76.58708419 |
| 0 | 1 | 0.1 | 284.83505361 | 67.07863643 |
| 0 | 1 | 0.1 | 296.01005361 | 58.69794649 |
| 0 | 1 | 0.1 | 307.18505361 | 51.27438241 |
| 0 | 1 | 0.1 | 318.36005361 | 44.64827518 |
| 0 | 1 | 0.1 | 329.51005361 | 38.77539315 |
| 0 | 1 | 0.1 | 340.68505361 | 33.61639069 |
| 0 | 1 | 0.1 | 351.86005361 | 29.12940081 |
| 0 | 1 | 0.1 | 363.03505361 | 25.21335876 |
| 0 | 1 | 0.1 | 374.21005361 | 21.77805337 |
| 0 | 1 | 0.1 | 385.36005361 | 18.77985615 |
| 0 | 1 | 0.1 | 396.53505361 | 16.17412000 |
| 0 | 1 | 0.1 | 407.71005361 | 13.92589901 |
| 0 | 1 | 0.1 | 418.88505361 | 11.98143251 |
| 0 | 1 | 0.1 | 430.06005361 | 10.29375405 |
| 0 | 1 | 0.1 | 441.21005361 | 8.83487968 |
| 0 | 1 | 0.1 | 452.38505361 | 7.57549380 |
| 0 | 1 | 0.1 | 463.56005361 | 6.49446933 |
| 0 | 1 | 0.1 | 474.73505361 | 5.56495630 |
| 0 | 1 | 0.1 | 485.91005361 | 4.76375811 |
| 0 | 1 | 0.1 | 497.06005361 | 4.07550971 |
| 0 | 1 | 0.1 | 508.23505361 | 3.48400864 |
| 0 | 1 | 0.1 | 519.41005361 | 2.97801450 |
| 0 | 1 | 0.1 | 530.58505361 | 2.54464013 |
| 0 | 1 | 0.1 | 541.76005361 | 2.17282219 |
| 0 | 1 | 0.1 | 552.91005361 | 1.85476889 |
| 0 | 1 | 0.1 | 564.08505361 | 1.58224693 |
| 0 | 1 | 0.2 | 11.17010721 | 1.00000000 |
| 0 | 1 | 0.2 | 22.34510721 | 28.64901341 |
| 0 | 1 | 0.2 | 33.52010721 | 81.97470115 |
| 0 | 1 | 0.2 | 44.67010721 | 137.28606061 |
| 0 | 1 | 0.2 | 55.84510721 | 185.73609157 |
| 0 | 1 | 0.2 | 67.02010721 | 227.04605481 |
| 0 | 1 | 0.2 | 78.19510721 | 260.46260477 |
| 0 | 1 | 0.2 | 89.37010721 | 282.29804647 |
| 0 | 1 | 0.2 | 100.52010721 | 291.28699750 |
| 0 | 1 | 0.2 | 111.69510721 | 290.93917569 |
| 0 | 1 | 0.2 | 122.87010721 | 285.63919806 |
| 0 | 1 | 0.2 | 134.04510721 | 276.87572298 |
| 0 | 1 | 0.2 | 145.22010721 | 263.96636720 |
| 0 | 1 | 0.2 | 156.37010721 | 247.24054044 |
| 0 | 1 | 0.2 | 167.54510721 | 228.66736768 |
| 0 | 1 | 0.2 | 178.72010721 | 210.23677489 |
| 0 | 1 | 0.2 | 189.89510721 | 192.39662562 |
| 0 | 1 | 0.2 | 201.07010721 | 174.71599980 |
| 0 | 1 | 0.2 | 212.22010721 | 157.24910480 |
| 0 | 1 | 0.2 | 223.39510721 | 140.59400103 |
| 0 | 1 | 0.2 | 234.57010721 | 125.36494138 |
| 0 | 1 | 0.2 | 245.74510721 | 111.54382661 |
| 0 | 1 | 0.2 | 256.92010721 | 98.81659852 |
| 0 | 1 | 0.2 | 268.07010721 | 87.09187196 |
| 0 | 1 | 0.2 | 279.24510721 | 76.45023861 |
| 0 | 1 | 0.2 | 290.42010721 | 67.01411867 |
| 0 | 1 | 0.2 | 301.59510721 | 58.67466252 |
| 0 | 1 | 0.2 | 312.77010721 | 51.23549467 |
| 0 | 1 | 0.2 | 323.94510721 | 44.58471817 |
| 0 | 1 | 0.2 | 335.09510721 | 38.71831859 |
| 0 | 1 | 0.2 | 346.27010721 | 33.58590966 |
| 0 | 1 | 0.2 | 357.44510721 | 29.11413419 |
| 0 | 1 | 0.2 | 368.62010721 | 25.19374317 |
| 0 | 1 | 0.2 | 379.79510721 | 21.75109563 |
| 0 | 1 | 0.2 | 390.94510721 | 18.75603020 |
| 0 | 1 | 0.2 | 402.12010721 | 16.15996527 |
| 0 | 1 | 0.2 | 413.29510721 | 13.91739235 |
| 0 | 1 | 0.2 | 424.47010721 | 11.97196162 |
| 0 | 1 | 0.2 | 435.64510721 | 10.28230127 |
| 0 | 1 | 0.2 | 446.79510721 | 8.82487000 |
| 0 | 1 | 0.2 | 457.97010721 | 7.56900915 |
| 0 | 1 | 0.2 | 469.14510721 | 6.49011145 |
| 0 | 1 | 0.2 | 480.32010721 | 5.56051113 |
| 0 | 1 | 0.2 | 491.49510721 | 4.75886851 |
| 0 | 1 | 0.2 | 502.64510721 | 4.07127027 |
| 0 | 1 | 0.2 | 513.82010721 | 3.48106856 |
| 0 | 1 | 0.2 | 524.99510721 | 2.97589050 |
| 0 | 1 | 0.2 | 536.17010721 | 2.54259306 |
| 0 | 1 | 0.2 | 547.34510721 | 2.17072259 |
| 0 | 1 | 0.2 | 558.49510721 | 1.85295896 |
| 0 | 1 | 0.2 | 569.67010721 | 1.58092428 |
| 0 | 1 | 0.3 | 16.75516082 | 1.00000000 |
| 0 | 1 | 0.3 | 27.93016082 | 28.37155050 |
| 0 | 1 | 0.3 | 39.10516082 | 79.99821914 |
| 0 | 1 | 0.3 | 50.25516082 | 133.56827681 |
| 0 | 1 | 0.3 | 61.43016082 | 182.47474777 |
| 0 | 1 | 0.3 | 72.60516082 | 225.63085910 |
| 0 | 1 | 0.3 | 83.78016082 | 259.49370975 |
| 0 | 1 | 0.3 | 94.95516082 | 280.04907155 |
| 0 | 1 | 0.3 | 106.10516082 | 288.15779154 |
| 0 | 1 | 0.3 | 117.28016082 | 288.51168256 |
| 0 | 1 | 0.3 | 128.45516082 | 284.43969598 |
| 0 | 1 | 0.3 | 139.63016082 | 275.97100993 |
| 0 | 1 | 0.3 | 150.80516082 | 262.51888794 |
| 0 | 1 | 0.3 | 161.95516082 | 245.50894574 |
| 0 | 1 | 0.3 | 173.13016082 | 227.35951505 |
| 0 | 1 | 0.3 | 184.30516082 | 209.51125329 |
| 0 | 1 | 0.3 | 195.48016082 | 191.81868008 |
| 0 | 1 | 0.3 | 206.65516082 | 173.94899201 |
| 0 | 1 | 0.3 | 217.80516082 | 156.41167577 |
| 0 | 1 | 0.3 | 228.98016082 | 139.95884644 |
| 0 | 1 | 0.3 | 240.15516082 | 124.97491165 |
| 0 | 1 | 0.3 | 251.33016082 | 111.22397558 |
| 0 | 1 | 0.3 | 262.50516082 | 98.44211807 |
| 0 | 1 | 0.3 | 273.65516082 | 86.70859248 |
| 0 | 1 | 0.3 | 284.83016082 | 76.15492495 |
| 0 | 1 | 0.3 | 296.00516082 | 66.81713601 |
| 0 | 1 | 0.3 | 307.18016082 | 58.51066408 |
| 0 | 1 | 0.3 | 318.35516082 | 51.05993648 |
| 0 | 1 | 0.3 | 329.53016082 | 44.41352991 |
| 0 | 1 | 0.3 | 340.68016082 | 38.58392596 |
| 0 | 1 | 0.3 | 351.85516082 | 33.49035525 |
| 0 | 1 | 0.3 | 363.03016082 | 29.03394197 |
| 0 | 1 | 0.3 | 374.20516082 | 25.11327374 |
| 0 | 1 | 0.3 | 385.38016082 | 21.67542130 |
| 0 | 1 | 0.3 | 396.53016082 | 18.69559002 |
| 0 | 1 | 0.3 | 407.70516082 | 16.11488515 |
| 0 | 1 | 0.3 | 418.88016082 | 13.87939359 |
| 0 | 1 | 0.3 | 430.05516082 | 11.93557105 |
| 0 | 1 | 0.3 | 441.23016082 | 10.24899619 |
| 0 | 1 | 0.3 | 452.38016082 | 8.79787983 |
| 0 | 1 | 0.3 | 463.55516082 | 7.54815471 |
| 0 | 1 | 0.3 | 474.73016082 | 6.47248877 |
| 0 | 1 | 0.3 | 485.90516082 | 5.54419342 |
| 0 | 1 | 0.3 | 497.08016082 | 4.74423331 |
| 0 | 1 | 0.3 | 508.23016082 | 4.05927107 |
| 0 | 1 | 0.3 | 519.40516082 | 3.47155463 |
| 0 | 1 | 0.3 | 530.58016082 | 2.96783886 |
| 0 | 1 | 0.3 | 541.75516082 | 2.53531663 |
| 0 | 1 | 0.3 | 552.93016082 | 2.16429327 |
| 0 | 1 | 0.3 | 564.08016082 | 1.84763988 |
| 0 | 1 | 0.3 | 575.25516082 | 1.57662688 |
| 0 | 1 | 0.4 | 22.34021443 | 1.00000000 |
| 0 | 1 | 0.4 | 33.51521443 | 27.35051197 |
| 0 | 1 | 0.4 | 44.69021443 | 76.78542838 |
| 0 | 1 | 0.4 | 55.84021443 | 129.26561965 |
| 0 | 1 | 0.4 | 67.01521443 | 179.47290123 |
| 0 | 1 | 0.4 | 78.19021443 | 224.05552045 |
| 0 | 1 | 0.4 | 89.36521443 | 257.30435255 |
| 0 | 1 | 0.4 | 100.54021443 | 276.42770974 |
| 0 | 1 | 0.4 | 111.69021443 | 284.45022583 |
| 0 | 1 | 0.4 | 122.86521443 | 286.10072486 |
| 0 | 1 | 0.4 | 134.04021443 | 283.00668524 |
| 0 | 1 | 0.4 | 145.21521443 | 274.32376832 |
| 0 | 1 | 0.4 | 156.39021443 | 260.32131408 |
| 0 | 1 | 0.4 | 167.54021443 | 243.44099788 |
| 0 | 1 | 0.4 | 178.71521443 | 225.98455210 |
| 0 | 1 | 0.4 | 189.89021443 | 208.60960666 |
| 0 | 1 | 0.4 | 201.06521443 | 190.86752493 |
| 0 | 1 | 0.4 | 212.24021443 | 172.82741209 |
| 0 | 1 | 0.4 | 223.39021443 | 155.39821048 |
| 0 | 1 | 0.4 | 234.56521443 | 139.25663863 |
| 0 | 1 | 0.4 | 245.74021443 | 124.47917593 |
| 0 | 1 | 0.4 | 256.91521443 | 110.73103887 |
| 0 | 1 | 0.4 | 268.09021443 | 97.90923601 |
| 0 | 1 | 0.4 | 279.24021443 | 86.23776328 |
| 0 | 1 | 0.4 | 290.41521443 | 75.81443098 |
| 0 | 1 | 0.4 | 301.59021443 | 66.56359705 |
| 0 | 1 | 0.4 | 312.76521443 | 58.26928735 |
| 0 | 1 | 0.4 | 323.94021443 | 50.81522808 |
| 0 | 1 | 0.4 | 335.11521443 | 44.20031162 |
| 0 | 1 | 0.4 | 346.26521443 | 38.42374310 |
| 0 | 1 | 0.4 | 357.44021443 | 33.36648230 |
| 0 | 1 | 0.4 | 368.61521443 | 28.91971097 |
| 0 | 1 | 0.4 | 379.79021443 | 25.00285744 |
| 0 | 1 | 0.4 | 390.96521443 | 21.58002266 |
| 0 | 1 | 0.4 | 402.11521443 | 18.62170135 |
| 0 | 1 | 0.4 | 413.29021443 | 16.05619786 |
| 0 | 1 | 0.4 | 424.46521443 | 13.82651306 |
| 0 | 1 | 0.4 | 435.64021443 | 11.88622578 |
| 0 | 1 | 0.4 | 446.81521443 | 10.20659709 |
| 0 | 1 | 0.4 | 457.96521443 | 8.76425185 |
| 0 | 1 | 0.4 | 469.14021443 | 7.52093509 |
| 0 | 1 | 0.4 | 480.31521443 | 6.44836932 |
| 0 | 1 | 0.4 | 491.49021443 | 5.52226158 |
| 0 | 1 | 0.4 | 502.66521443 | 4.72545852 |
| 0 | 1 | 0.4 | 513.81521443 | 4.04410957 |
| 0 | 1 | 0.4 | 524.99021443 | 3.45911640 |
| 0 | 1 | 0.4 | 536.16521443 | 2.95694941 |
| 0 | 1 | 0.4 | 547.34021443 | 2.52560052 |
| 0 | 1 | 0.4 | 558.51521443 | 2.15599690 |
| 0 | 1 | 0.4 | 569.66521443 | 1.84084944 |
| 0 | 1 | 0.4 | 580.84021443 | 1.57100251 |
| 0 | 1 | 0.5 | 27.92526803 | 1.00000000 |
| 0 | 1 | 0.5 | 39.10026803 | 26.03917511 |
| 0 | 1 | 0.5 | 50.27526803 | 73.45836315 |
| 0 | 1 | 0.5 | 61.42526803 | 125.89533457 |
| 0 | 1 | 0.5 | 72.60026803 | 177.84163839 |
| 0 | 1 | 0.5 | 83.77526803 | 222.92079107 |
| 0 | 1 | 0.5 | 94.95026803 | 254.75909260 |
| 0 | 1 | 0.5 | 106.12526803 | 272.82985905 |
| 0 | 1 | 0.5 | 117.27526803 | 281.58161034 |
| 0 | 1 | 0.5 | 128.45026803 | 284.62769551 |
| 0 | 1 | 0.5 | 139.62526803 | 281.88859259 |
| 0 | 1 | 0.5 | 150.80026803 | 272.57355208 |
| 0 | 1 | 0.5 | 161.97526803 | 258.22388585 |
| 0 | 1 | 0.5 | 173.12526803 | 241.83376931 |
| 0 | 1 | 0.5 | 184.30026803 | 225.07113235 |
| 0 | 1 | 0.5 | 195.47526803 | 207.87825195 |
| 0 | 1 | 0.5 | 206.65026803 | 189.91134952 |
| 0 | 1 | 0.5 | 217.82526803 | 171.78542084 |
| 0 | 1 | 0.5 | 228.97526803 | 154.60018081 |
| 0 | 1 | 0.5 | 240.15026803 | 138.75801859 |
| 0 | 1 | 0.5 | 251.32526803 | 124.06869490 |
| 0 | 1 | 0.5 | 262.50026803 | 110.25572453 |
| 0 | 1 | 0.5 | 273.67526803 | 97.42424596 |
| 0 | 1 | 0.5 | 284.82526803 | 85.86140354 |
| 0 | 1 | 0.5 | 296.00026803 | 75.56016403 |
| 0 | 1 | 0.5 | 307.17526803 | 66.35132490 |
| 0 | 1 | 0.5 | 318.35026803 | 58.04391188 |
| 0 | 1 | 0.5 | 329.52526803 | 50.59610048 |
| 0 | 1 | 0.5 | 340.70026803 | 44.02752523 |
| 0 | 1 | 0.5 | 351.85026803 | 38.29964222 |
| 0 | 1 | 0.5 | 363.02526803 | 33.26213302 |
| 0 | 1 | 0.5 | 374.20026803 | 28.81563529 |
| 0 | 1 | 0.5 | 385.37526803 | 24.90523613 |
| 0 | 1 | 0.5 | 396.55026803 | 21.50180341 |
| 0 | 1 | 0.5 | 407.70026803 | 18.56292066 |
| 0 | 1 | 0.5 | 418.87526803 | 16.00658423 |
| 0 | 1 | 0.5 | 430.05026803 | 13.77921071 |
| 0 | 1 | 0.5 | 441.22526803 | 11.84302619 |
| 0 | 1 | 0.5 | 452.40026803 | 10.17150776 |
| 0 | 1 | 0.5 | 463.55026803 | 8.73698768 |
| 0 | 1 | 0.5 | 474.72526803 | 7.49787429 |
| 0 | 1 | 0.5 | 485.90026803 | 6.42708567 |
| 0 | 1 | 0.5 | 497.07526803 | 5.50320447 |
| 0 | 1 | 0.5 | 508.25026803 | 4.70980857 |
| 0 | 1 | 0.5 | 519.40026803 | 4.03164928 |
| 0 | 1 | 0.5 | 530.57526803 | 3.44856425 |
| 0 | 1 | 0.5 | 541.75026803 | 2.94743581 |
| 0 | 1 | 0.5 | 552.92526803 | 2.51720528 |
| 0 | 1 | 0.5 | 564.10026803 | 2.14904374 |
| 0 | 1 | 0.5 | 575.25026803 | 1.83521428 |
| 0 | 1 | 0.5 | 586.42526803 | 1.56622678 |
| 0 | 1 | 0.6 | 33.51032164 | 1.00000000 |
| 0 | 1 | 0.6 | 44.68532164 | 24.75083074 |
| 0 | 1 | 0.6 | 55.86032164 | 70.96123470 |
| 0 | 1 | 0.6 | 67.01032164 | 124.57464888 |
| 0 | 1 | 0.6 | 78.18532164 | 178.13379838 |
| 0 | 1 | 0.6 | 89.36032164 | 222.61494531 |
| 0 | 1 | 0.6 | 100.53532164 | 252.76874894 |
| 0 | 1 | 0.6 | 111.71032164 | 270.53969509 |
| 0 | 1 | 0.6 | 122.86032164 | 280.57739478 |
| 0 | 1 | 0.6 | 134.03532164 | 284.60821502 |
| 0 | 1 | 0.6 | 145.21032164 | 281.48097416 |
| 0 | 1 | 0.6 | 156.38532164 | 271.35802776 |
| 0 | 1 | 0.6 | 167.56032164 | 256.99069427 |
| 0 | 1 | 0.6 | 178.71032164 | 241.26917870 |
| 0 | 1 | 0.6 | 189.88532164 | 224.94460390 |
| 0 | 1 | 0.6 | 201.06032164 | 207.57972239 |
| 0 | 1 | 0.6 | 212.23532164 | 189.30005738 |
| 0 | 1 | 0.6 | 223.41032164 | 171.20462296 |
| 0 | 1 | 0.6 | 234.56032164 | 154.30799986 |
| 0 | 1 | 0.6 | 245.73532164 | 138.64245117 |
| 0 | 1 | 0.6 | 256.91032164 | 123.89204687 |
| 0 | 1 | 0.6 | 268.08532164 | 109.97227055 |
| 0 | 1 | 0.6 | 279.26032164 | 97.16509218 |
| 0 | 1 | 0.6 | 290.41032164 | 85.71686409 |
| 0 | 1 | 0.6 | 301.58532164 | 75.48424278 |
| 0 | 1 | 0.6 | 312.76032164 | 66.25753409 |
| 0 | 1 | 0.6 | 323.93532164 | 57.91721952 |
| 0 | 1 | 0.6 | 335.11032164 | 50.48300812 |
| 0 | 1 | 0.6 | 346.28532164 | 43.95834180 |
| 0 | 1 | 0.6 | 357.43532164 | 38.25677450 |
| 0 | 1 | 0.6 | 368.61032164 | 33.21538083 |
| 0 | 1 | 0.6 | 379.78532164 | 28.75991088 |
| 0 | 1 | 0.6 | 390.96032164 | 24.85626079 |
| 0 | 1 | 0.6 | 402.13532164 | 21.46939585 |
| 0 | 1 | 0.6 | 413.28532164 | 18.54069373 |
| 0 | 1 | 0.6 | 424.46032164 | 15.98418210 |
| 0 | 1 | 0.6 | 435.63532164 | 13.75484987 |
| 0 | 1 | 0.6 | 446.81032164 | 11.82183792 |
| 0 | 1 | 0.6 | 457.98532164 | 10.15658370 |
| 0 | 1 | 0.6 | 469.13532164 | 8.72605326 |
| 0 | 1 | 0.6 | 480.31032164 | 7.48741388 |
| 0 | 1 | 0.6 | 491.48532164 | 6.41645118 |
| 0 | 1 | 0.6 | 502.66032164 | 5.49402092 |
| 0 | 1 | 0.6 | 513.83532164 | 4.70302050 |
| 0 | 1 | 0.6 | 524.98532164 | 4.02645074 |
| 0 | 1 | 0.6 | 536.16032164 | 3.44376429 |
| 0 | 1 | 0.6 | 547.33532164 | 2.94279072 |
| 0 | 1 | 0.6 | 558.51032164 | 2.51321394 |
| 0 | 1 | 0.6 | 569.68532164 | 2.14598382 |
| 0 | 1 | 0.6 | 580.83532164 | 1.83279874 |
| 0 | 1 | 0.6 | 592.01032164 | 1.56405049 |
| 0 | 1 | 0.7 | 39.09537524 | 1.00000000 |
| 0 | 1 | 0.7 | 50.27037524 | 23.78000514 |
| 0 | 1 | 0.7 | 61.44537524 | 70.12617428 |
| 0 | 1 | 0.7 | 72.59537524 | 125.87383427 |
| 0 | 1 | 0.7 | 83.77037524 | 180.27458741 |
| 0 | 1 | 0.7 | 94.94537524 | 223.24914109 |
| 0 | 1 | 0.7 | 106.12037524 | 252.04718100 |
| 0 | 1 | 0.7 | 117.29537524 | 270.40226220 |
| 0 | 1 | 0.7 | 128.44537524 | 281.82441945 |
| 0 | 1 | 0.7 | 139.62037524 | 286.05508629 |
| 0 | 1 | 0.7 | 150.79537524 | 281.93756989 |
| 0 | 1 | 0.7 | 161.97037524 | 271.12912120 |
| 0 | 1 | 0.7 | 173.14537524 | 257.08399979 |
| 0 | 1 | 0.7 | 184.29537524 | 241.96282484 |
| 0 | 1 | 0.7 | 195.47037524 | 225.65457929 |
| 0 | 1 | 0.7 | 206.64537524 | 207.82708041 |
| 0 | 1 | 0.7 | 217.82037524 | 189.26319410 |
| 0 | 1 | 0.7 | 228.99537524 | 171.30403354 |
| 0 | 1 | 0.7 | 240.14537524 | 154.63312249 |
| 0 | 1 | 0.7 | 251.32037524 | 138.95444143 |
| 0 | 1 | 0.7 | 262.49537524 | 124.01624913 |
| 0 | 1 | 0.7 | 273.67037524 | 109.98758706 |
| 0 | 1 | 0.7 | 284.84537524 | 97.22980308 |
| 0 | 1 | 0.7 | 295.99537524 | 85.85926478 |
| 0 | 1 | 0.7 | 307.17037524 | 75.61575811 |
| 0 | 1 | 0.7 | 318.34537524 | 66.31784587 |
| 0 | 1 | 0.7 | 329.52037524 | 57.93712108 |
| 0 | 1 | 0.7 | 340.69537524 | 50.51881258 |
| 0 | 1 | 0.7 | 351.87037524 | 44.01913845 |
| 0 | 1 | 0.7 | 363.02037524 | 38.31152800 |
| 0 | 1 | 0.7 | 374.19537524 | 33.24399560 |
| 0 | 1 | 0.7 | 385.37037524 | 28.77364958 |
| 0 | 1 | 0.7 | 396.54537524 | 24.87451764 |
| 0 | 1 | 0.7 | 407.72037524 | 21.49515294 |
| 0 | 1 | 0.7 | 418.87037524 | 18.56350687 |
| 0 | 1 | 0.7 | 430.04537524 | 15.99751095 |
| 0 | 1 | 0.7 | 441.22037524 | 13.76267242 |
| 0 | 1 | 0.7 | 452.39537524 | 11.83070964 |
| 0 | 1 | 0.7 | 463.57037524 | 10.16751247 |
| 0 | 1 | 0.7 | 474.72037524 | 8.73562004 |
| 0 | 1 | 0.7 | 485.89537524 | 7.49353354 |
| 0 | 1 | 0.7 | 497.07037524 | 6.42050440 |
| 0 | 1 | 0.7 | 508.24537524 | 5.49820187 |
| 0 | 1 | 0.7 | 519.42037524 | 4.70768084 |
| 0 | 1 | 0.7 | 530.57037524 | 4.03049615 |
| 0 | 1 | 0.7 | 541.74537524 | 3.44654321 |
| 0 | 1 | 0.7 | 552.92037524 | 2.94477951 |
| 0 | 1 | 0.7 | 564.09537524 | 2.51514452 |
| 0 | 1 | 0.7 | 575.27037524 | 2.14798293 |
| 0 | 1 | 0.7 | 586.42037524 | 1.83452355 |
| 0 | 1 | 0.7 | 597.59537524 | 1.56530202 |
| 0 | 1 | 0.8 | 44.68042885 | 1.00000000 |
| 0 | 1 | 0.8 | 55.85542885 | 23.49536197 |
| 0 | 1 | 0.8 | 67.03042885 | 71.51969843 |
| 0 | 1 | 0.8 | 78.18042885 | 129.48402370 |
| 0 | 1 | 0.8 | 89.35542885 | 183.50106256 |
| 0 | 1 | 0.8 | 100.53042885 | 224.60648155 |
| 0 | 1 | 0.8 | 111.70542885 | 252.89757334 |
| 0 | 1 | 0.8 | 122.88042885 | 272.52305653 |
| 0 | 1 | 0.8 | 134.03042885 | 284.88436974 |
| 0 | 1 | 0.8 | 145.20542885 | 288.43655692 |
| 0 | 1 | 0.8 | 156.38042885 | 283.10114428 |
| 0 | 1 | 0.8 | 167.55542885 | 271.99074905 |
| 0 | 1 | 0.8 | 178.73042885 | 258.48646129 |
| 0 | 1 | 0.8 | 189.88042885 | 243.66244440 |
| 0 | 1 | 0.8 | 201.05542885 | 226.93862753 |
| 0 | 1 | 0.8 | 212.23042885 | 208.53426415 |
| 0 | 1 | 0.8 | 223.40542885 | 189.82281049 |
| 0 | 1 | 0.8 | 234.58042885 | 172.05295357 |
| 0 | 1 | 0.8 | 245.73042885 | 155.45638978 |
| 0 | 1 | 0.8 | 256.90542885 | 139.57863210 |
| 0 | 1 | 0.8 | 268.08042885 | 124.39763389 |
| 0 | 1 | 0.8 | 279.25542885 | 110.29937270 |
| 0 | 1 | 0.8 | 290.43042885 | 97.59667331 |
| 0 | 1 | 0.8 | 301.58042885 | 86.23634412 |
| 0 | 1 | 0.8 | 312.75542885 | 75.90616495 |
| 0 | 1 | 0.8 | 323.93042885 | 66.51087380 |
| 0 | 1 | 0.8 | 335.10542885 | 58.09755022 |
| 0 | 1 | 0.8 | 346.28042885 | 50.69110796 |
| 0 | 1 | 0.8 | 357.45542885 | 44.18762034 |
| 0 | 1 | 0.8 | 368.60542885 | 38.44374247 |
| 0 | 1 | 0.8 | 379.78042885 | 33.33776609 |
| 0 | 1 | 0.8 | 390.95542885 | 28.85226253 |
| 0 | 1 | 0.8 | 402.13042885 | 24.95357483 |
| 0 | 1 | 0.8 | 413.30542885 | 21.56964474 |
| 0 | 1 | 0.8 | 424.45542885 | 18.62298291 |
| 0 | 1 | 0.8 | 435.63042885 | 16.04179269 |
| 0 | 1 | 0.8 | 446.80542885 | 13.79997319 |
| 0 | 1 | 0.8 | 457.98042885 | 11.86648552 |
| 0 | 1 | 0.8 | 469.15542885 | 10.20030014 |
| 0 | 1 | 0.8 | 480.30542885 | 8.76218405 |
| 0 | 1 | 0.8 | 491.48042885 | 7.51403244 |
| 0 | 1 | 0.8 | 502.65542885 | 6.43781890 |
| 0 | 1 | 0.8 | 513.83042885 | 5.51425106 |
| 0 | 1 | 0.8 | 525.00542885 | 4.72208934 |
| 0 | 1 | 0.8 | 536.15542885 | 4.04230716 |
| 0 | 1 | 0.8 | 547.33042885 | 3.45589933 |
| 0 | 1 | 0.8 | 558.50542885 | 2.95269518 |
| 0 | 1 | 0.8 | 569.68042885 | 2.52230337 |
| 0 | 1 | 0.8 | 580.85542885 | 2.15431280 |
| 0 | 1 | 0.8 | 592.00542885 | 1.83975958 |
| 0 | 1 | 0.8 | 603.18042885 | 1.56952953 |
| 0 | 1 | 0.9 | 50.26548246 | 1.00000000 |
| 0 | 1 | 0.9 | 61.44048246 | 24.24917045 |
| 0 | 1 | 0.9 | 72.61548246 | 74.95099959 |
| 0 | 1 | 0.9 | 83.76548246 | 134.11699607 |
| 0 | 1 | 0.9 | 94.94048246 | 186.62142181 |
| 0 | 1 | 0.9 | 106.11548246 | 226.20635730 |
| 0 | 1 | 0.9 | 117.29048246 | 255.06014388 |
| 0 | 1 | 0.9 | 128.46548246 | 276.17108794 |
| 0 | 1 | 0.9 | 139.61548246 | 288.64410333 |
| 0 | 1 | 0.9 | 150.79048246 | 290.88215048 |
| 0 | 1 | 0.9 | 161.96548246 | 284.55303019 |
| 0 | 1 | 0.9 | 173.14048246 | 273.64116853 |
| 0 | 1 | 0.9 | 184.31548246 | 260.69439966 |
| 0 | 1 | 0.9 | 195.46548246 | 245.74630137 |
| 0 | 1 | 0.9 | 206.64048246 | 228.32684476 |
| 0 | 1 | 0.9 | 217.81548246 | 209.44508550 |
| 0 | 1 | 0.9 | 228.99048246 | 190.77809224 |
| 0 | 1 | 0.9 | 240.16548246 | 173.17941280 |
| 0 | 1 | 0.9 | 251.31548246 | 156.47596340 |
| 0 | 1 | 0.9 | 262.49048246 | 140.28628717 |
| 0 | 1 | 0.9 | 273.66548246 | 124.89741605 |
| 0 | 1 | 0.9 | 284.84048246 | 110.79466918 |
| 0 | 1 | 0.9 | 296.01548246 | 98.13184495 |
| 0 | 1 | 0.9 | 307.16548246 | 86.70970631 |
| 0 | 1 | 0.9 | 318.34048246 | 76.24894467 |
| 0 | 1 | 0.9 | 329.51548246 | 66.76616436 |
| 0 | 1 | 0.9 | 340.69048246 | 58.34009295 |
| 0 | 1 | 0.9 | 351.86548246 | 50.93687340 |
| 0 | 1 | 0.9 | 363.04048246 | 44.40191884 |
| 0 | 1 | 0.9 | 374.19048246 | 38.60489459 |
| 0 | 1 | 0.9 | 385.36548246 | 33.46239795 |
| 0 | 1 | 0.9 | 396.54048246 | 28.96704071 |
| 0 | 1 | 0.9 | 407.71548246 | 25.06447280 |
| 0 | 1 | 0.9 | 418.89048246 | 21.66550981 |
| 0 | 1 | 0.9 | 430.04048246 | 18.69728593 |
| 0 | 1 | 0.9 | 441.21548246 | 16.10081019 |
| 0 | 1 | 0.9 | 452.39048246 | 13.85310436 |
| 0 | 1 | 0.9 | 463.56548246 | 11.91604819 |
| 0 | 1 | 0.9 | 474.74048246 | 10.24290199 |
| 0 | 1 | 0.9 | 485.89048246 | 8.79599037 |
| 0 | 1 | 0.9 | 497.06548246 | 7.54139628 |
| 0 | 1 | 0.9 | 508.24048246 | 6.46205162 |
| 0 | 1 | 0.9 | 519.41548246 | 5.53628036 |
| 0 | 1 | 0.9 | 530.59048246 | 4.74095262 |
| 0 | 1 | 0.9 | 541.74048246 | 4.05754584 |
| 0 | 1 | 0.9 | 552.91548246 | 3.46840072 |
| 0 | 1 | 0.9 | 564.09048246 | 2.96363539 |
| 0 | 1 | 0.9 | 575.26548246 | 2.53206295 |
| 0 | 1 | 0.9 | 586.44048246 | 2.16264789 |
| 0 | 1 | 0.9 | 597.59048246 | 1.84658357 |
| 0 | 1 | 0.9 | 608.76548246 | 1.57518161 |
| 0 | 1 | 1.0 | 55.85053606 | 1.00000000 |
| 0 | 1 | 1.0 | 67.02553606 | 25.97430172 |
| 0 | 1 | 1.0 | 78.20053606 | 78.99731830 |
| 0 | 1 | 1.0 | 89.35053606 | 137.79733912 |
| 0 | 1 | 1.0 | 100.52553606 | 188.36043694 |
| 0 | 1 | 1.0 | 111.70053606 | 227.41404614 |
| 0 | 1 | 1.0 | 122.87553606 | 257.70742020 |
| 0 | 1 | 1.0 | 134.05053606 | 279.91346514 |
| 0 | 1 | 1.0 | 145.20053606 | 291.61403544 |
| 0 | 1 | 1.0 | 156.37553606 | 292.42251306 |
| 0 | 1 | 1.0 | 167.55053606 | 285.71865354 |
| 0 | 1 | 1.0 | 178.72553606 | 275.43640149 |
| 0 | 1 | 1.0 | 189.90053606 | 262.84319721 |
| 0 | 1 | 1.0 | 201.05053606 | 247.39528475 |
| 0 | 1 | 1.0 | 212.22553606 | 229.27222447 |
| 0 | 1 | 1.0 | 223.40053606 | 210.20041631 |
| 0 | 1 | 1.0 | 234.57553606 | 191.75512294 |
| 0 | 1 | 1.0 | 245.75053606 | 174.24248304 |
| 0 | 1 | 1.0 | 256.90053606 | 157.29190958 |
| 0 | 1 | 1.0 | 268.07553606 | 140.79922221 |
| 0 | 1 | 1.0 | 279.25053606 | 125.31902823 |
| 0 | 1 | 1.0 | 290.42553606 | 111.27949502 |
| 0 | 1 | 1.0 | 301.60053606 | 98.62584934 |
| 0 | 1 | 1.0 | 312.75053606 | 87.09382298 |
| 0 | 1 | 1.0 | 323.92553606 | 76.50952418 |
| 0 | 1 | 1.0 | 335.10053606 | 66.98346725 |
| 0 | 1 | 1.0 | 346.27553606 | 58.56975268 |
| 0 | 1 | 1.0 | 357.45053606 | 51.15991225 |
| 0 | 1 | 1.0 | 368.62553606 | 44.57807538 |
| 0 | 1 | 1.0 | 379.77553606 | 38.73176955 |
| 0 | 1 | 1.0 | 390.95053606 | 33.56899730 |
| 0 | 1 | 1.0 | 402.12553606 | 29.07303131 |
| 0 | 1 | 1.0 | 413.30053606 | 25.16380191 |
| 0 | 1 | 1.0 | 424.47553606 | 21.74519817 |
| 0 | 1 | 1.0 | 435.62553606 | 18.75728543 |
| 0 | 1 | 1.0 | 446.80053606 | 16.15142502 |
| 0 | 1 | 1.0 | 457.97553606 | 13.90125848 |
| 0 | 1 | 1.0 | 469.15053606 | 11.95999590 |
| 0 | 1 | 1.0 | 480.32553606 | 10.27863327 |
| 0 | 1 | 1.0 | 491.47553606 | 8.82379028 |
| 0 | 1 | 1.0 | 502.65053606 | 7.56490120 |
| 0 | 1 | 1.0 | 513.82553606 | 6.48371296 |
| 0 | 1 | 1.0 | 525.00053606 | 5.55566579 |
| 0 | 1 | 1.0 | 536.17553606 | 4.75688363 |
| 0 | 1 | 1.0 | 547.32553606 | 4.07024174 |
| 0 | 1 | 1.0 | 558.50053606 | 3.47914947 |
| 0 | 1 | 1.0 | 569.67553606 | 2.97331613 |
| 0 | 1 | 1.0 | 580.85053606 | 2.54060245 |
| 0 | 1 | 1.0 | 592.02553606 | 2.16972429 |
| 0 | 1 | 1.0 | 603.17553606 | 1.85232239 |
| 0 | 1 | 1.0 | 614.35053606 | 1.58004425 |