Tephra3d: Tephra Lagrangian Transport Model
In rTephra: Tephra Transport Modeling
Description
Usage
Arguments
Examples
Description
This function models the transport of a single particle through a spatially variable, windy, turbulent atmosphere with gravity. It allows 4D-varying atmospheric wind and density. Currently, only Rayleigh drag (low Re) is permitted.
Usage
1
2
3
4
Arguments
vx0
initial x component of velocity [m/s]
vy0
initial y component of velocity [m/s]
vz0
initial z component of velocity [m/s]
x0
initial easting [m]
y0
initial northing [m]
z0
initial elevation [m]
t0
initial time [s]
rho_r
density of tephra particle [kg/m^3]
r
rock radius [m]
dt
model time interval [s]
Cd
drag coefficient [unitless]
verbose
logical: print runtime info to screen?
rho_a
scalar or function(x,y,z,t) or function(z) giving atmospheric density [kg/m^3]. If NULL, use a variable-density isothermal atmosphere (T = 0 deg C)
zt
function(x,y) giving topographic height [m]
wx
scalar or function(x,y,z,t) or function(z) giving component of wind to the east [m/s]
wy
scalar or function(x,y,z,t) or function(z) giving component of wind to the north [m/s]
wz
scalar or function(x,y,z,t) or function(z) giving upward component of wind [m/s]
mindist
minimum distance a particle must travel before simulation can stop. This is to prevent early model ends due to spurious collision with crater.
TOPO
DEM: list containing vectors x and y and matrix z with dimensions (length(x), length(y))
Kh
horizontal eddy diffusivity [m^2/s]
Kz
vertical eddy diffusivity (often neglected) [m^2/s]
eddy_timescale
1/e decay time of turbulent eddies [s]
g
gravitational acceleration [m/s^2]
Examples
1
Tephra3d(vx0 = 40, vy0 = 0, vz0 = 40, z0 = 0)
Example output
$x
[1] 0.0000000 0.3999836 0.7999342 1.1998521 1.5997372 1.9995895
[7] 2.3994091 2.7991962 3.1989506 3.5986725 3.9983619 4.3980188
[13] 4.7976433 5.1972355 5.5967954 5.9963229 6.3958183 6.7952815
[19] 7.1947126 7.5941116 7.9934786 8.3928135 8.7921166 9.1913877
[25] 9.5906270 9.9898345 10.3890102 10.7881542 11.1872665 11.5863472
[31] 11.9853964 12.3844140 12.7834001 13.1823547 13.5812780 13.9801699
[37] 14.3790305 14.7778599 15.1766580 15.5754249 15.9741607 16.3728655
[43] 16.7715391 17.1701818 17.5687935 17.9673744 18.3659243 18.7644434
[49] 19.1629318 19.5613894 19.9598163 20.3582126 20.7565782 21.1549133
[55] 21.5532179 21.9514920 22.3497357 22.7479490 23.1461319 23.5442846
[61] 23.9424069 24.3404991 24.7385611 25.1365929 25.5345947 25.9325664
[67] 26.3305081 26.7284198 27.1263016 27.5241536 27.9219757 28.3197680
[73] 28.7175305 29.1152633 29.5129665 29.9106400 30.3082840 30.7058983
[79] 31.1034832 31.5010387 31.8985647 32.2960613 32.6935285 33.0909665
[85] 33.4883752 33.8857547 34.2831050 34.6804262 35.0777183 35.4749813
[91] 35.8722153 36.2694203 36.6665964 37.0637435 37.4608619 37.8579514
[97] 38.2550121 38.6520441 39.0490473 39.4460220 39.8429680 40.2398854
[103] 40.6367742 41.0336346 41.4304665 41.8272700 42.2240451 42.6207918
[109] 43.0175102 43.4142004 43.8108623 44.2074960 44.6041016 45.0006790
[115] 45.3972284 45.7937497 46.1902430 46.5867084 46.9831458 47.3795553
[121] 47.7759370 48.1722908 48.5686169 48.9649152 49.3611858 49.7574288
[127] 50.1536441 50.5498318 50.9459919 51.3421246 51.7382297 52.1343074
[133] 52.5303577 52.9263806 53.3223762 53.7183444 54.1142854 54.5101992
[139] 54.9060857 55.3019451 55.6977774 56.0935825 56.4893606 56.8851117
[145] 57.2808358 57.6765330 58.0722032 58.4678466 58.8634631 59.2590528
[151] 59.6546157 60.0501519 60.4456614 60.8411442 61.2366003 61.6320299
[157] 62.0274329 62.4228093 62.8181592 63.2134827 63.6087797 64.0040503
[163] 64.3992946 64.7945125 65.1897041 65.5848694 65.9800085 66.3751214
[169] 66.7702081 67.1652687 67.5603032 67.9553116 68.3502939 68.7452502
[175] 69.1401806 69.5350850 69.9299635 70.3248161 70.7196428 71.1144438
[181] 71.5092189 71.9039683 72.2986920 72.6933899 73.0880622 73.4827089
[187] 73.8773299 74.2719254 74.6664954 75.0610398 75.4555588 75.8500523
[193] 76.2445203 76.6389630 77.0333804 77.4277724 77.8221391 78.2164805
[199] 78.6107967 79.0050876 79.3993534 79.7935941 80.1878096 80.5820000
[205] 80.9761653 81.3703056 81.7644209 82.1585112 82.5525766 82.9466170
[211] 83.3406325 83.7346232 84.1285890 84.5225300 84.9164462 85.3103377
[217] 85.7042044 86.0980465 86.4918638 86.8856565 87.2794246 87.6731681
[223] 88.0668870 88.4605813 88.8542512 89.2478966 89.6415175 90.0351139
[229] 90.4286860 90.8222337 91.2157570 91.6092559 92.0027306 92.3961810
[235] 92.7896071 93.1830090 93.5763867 93.9697402 94.3630696 94.7563748
[241] 95.1496559 95.5429129 95.9361459 96.3293548 96.7225397 97.1157007
[247] 97.5088376 97.9019507 98.2950398 98.6881050 99.0811464 99.4741639
[253] 99.8671576 100.2601274 100.6530736 101.0459959 101.4388945 101.8317695
[259] 102.2246207 102.6174483 103.0102522 103.4030325 103.7957892 104.1885224
[265] 104.5812319 104.9739180 105.3665805 105.7592196 106.1518352 106.5444273
[271] 106.9369960 107.3295413 107.7220632 108.1145618 108.5070370 108.8994889
[277] 109.2919174 109.6843227 110.0767047 110.4690635 110.8613991 111.2537114
[283] 111.6460006 112.0382666 112.4305095 112.8227292 113.2149258 113.6070993
[289] 113.9992498 114.3913771 114.7834815 115.1755628 115.5676212 115.9596565
[295] 116.3516689 116.7436584 117.1356249 117.5275685 117.9194892 118.3113870
[301] 118.7032620 119.0951141 119.4869434 119.8787499 120.2705336 120.6622946
[307] 121.0540327 121.4457481 121.8374408 122.2291108 122.6207581 123.0123827
[313] 123.4039846 123.7955638 124.1871205 124.5786545 124.9701659 125.3616547
[319] 125.7531210 126.1445646 126.5359858 126.9273843 127.3187604 127.7101140
[325] 128.1014450 128.4927536 128.8840397 129.2753034 129.6665446 130.0577635
[331] 130.4489598 130.8401338 131.2312854 131.6224147 132.0135215 132.4046060
[337] 132.7956682 133.1867080 133.5777256 133.9687208 134.3596937 134.7506444
[343] 135.1415728 135.5324789 135.9233628 136.3142244 136.7050638 137.0958810
[349] 137.4866760 137.8774488 138.2681994 138.6589279 139.0496341 139.4403183
[355] 139.8309802 140.2216201 140.6122378 141.0028334 141.3934069 141.7839583
[361] 142.1744876 142.5649948 142.9554799 143.3459430 143.7363840 144.1268030
[367] 144.5171999 144.9075748 145.2979277 145.6882585 146.0785673 146.4688542
[373] 146.8591190 147.2493619 147.6395827 148.0297816 148.4199585 148.8101135
[379] 149.2002465 149.5903575 149.9804466 150.3705137 150.7605590 151.1505823
[385] 151.5405836 151.9305631 152.3205206 152.7104562 153.1003700 153.4902618
[391] 153.8801317 154.2699798 154.6598059 155.0496102 155.4393926 155.8291531
[397] 156.2188918 156.6086085 156.9983035 157.3879765 157.7776277 158.1672571
[403] 158.5568646 158.9464502 159.3360140 159.7255559 160.1150761 160.5045743
[409] 160.8940508 161.2835054 161.6729381 162.0623491 162.4517382 162.8411054
[415] 163.2304509 163.6197745 164.0090763 164.3983562 164.7876144 165.1768507
[421] 165.5660651 165.9552578 166.3444286 166.7335776 167.1227048 167.5118101
[427] 167.9008937 168.2899554 168.6789952 169.0680133 169.4570095 169.8459838
[433] 170.2349364 170.6238671 171.0127760 171.4016630 171.7905282 172.1793715
[439] 172.5681930 172.9569927 173.3457705 173.7345264 174.1232605 174.5119728
[445] 174.9006631 175.2893317 175.6779783 176.0666031 176.4552060 176.8437870
[451] 177.2323461 177.6208834 178.0093987 178.3978922 178.7863638 179.1748134
[457] 179.5632412 179.9516470 180.3400309 180.7283929 181.1167330 181.5050511
[463] 181.8933473 182.2816215 182.6698738 183.0581041 183.4463125 183.8344989
[469] 184.2226633 184.6108058 184.9989262 185.3870247 185.7751011 186.1631555
[475] 186.5511880 186.9391983 187.3271867 187.7151530 188.1030973 188.4910195
[481] 188.8789197 189.2667978 189.6546538 190.0424877 190.4302995 190.8180892
[487] 191.2058568 191.5936023 191.9813257 192.3690269 192.7567060 193.1443629
[493] 193.5319976 193.9196101 194.3072005 194.6947687 195.0823146 195.4698384
[499] 195.8573399 196.2448192 196.6322762 197.0197110 197.4071235 197.7945137
[505] 198.1818816 198.5692272 198.9565505 199.3438515 199.7311301 200.1183864
[511] 200.5056203 200.8928319 201.2800211 201.6671878 202.0543322 202.4414541
[517] 202.8285536 203.2156307 203.6026853 203.9897174 204.3767271 204.7637142
[523] 205.1506788 205.5376209 205.9245405 206.3114375 206.6983119 207.0851638
[529] 207.4719931 207.8587997 208.2455838 208.6323451 209.0190839 209.4058000
[535] 209.7924934 210.1791641 210.5658121 210.9524373 211.3390399 211.7256196
[541] 212.1121766 212.4987109 212.8852223 213.2717109 213.6581766 214.0446195
[547] 214.4310396 214.8174367 215.2038110 215.5901623 215.9764907 216.3627962
[553] 216.7490787 217.1353382 217.5215748 217.9077883 218.2939787 218.6801462
[559] 219.0662905 219.4524118 219.8385099 220.2245850 220.6106369 220.9966657
[565] 221.3826712 221.7686536 222.1546128 222.5405487 222.9264614 223.3123509
[571] 223.6982170 224.0840598 224.4698794 224.8556755 225.2414483 225.6271978
[577] 226.0129238 226.3986264 226.7843056 227.1699613 227.5555936 227.9412023
[583] 228.3267875 228.7123492 229.0978873 229.4834019 229.8688928 230.2543602
[589] 230.6398039 231.0252239 231.4106202 231.7959929 232.1813418 232.5666670
[595] 232.9519684 233.3372460 233.7224998 234.1077298 234.4929360 234.8781182
[601] 235.2632766 235.6484111 236.0335216 236.4186081 236.8036707 237.1887093
[607] 237.5737238 237.9587143 238.3436807 238.7286230 239.1135412 239.4984353
[613] 239.8833052 240.2681509 240.6529724 241.0377697 241.4225427 241.8072915
[619] 242.1920159 242.5767160 242.9613918 243.3460432 243.7306701 244.1152727
[625] 244.4998508 244.8844045 245.2689336 245.6534383 246.0379184 246.4223739
[631] 246.8068049 247.1912112 247.5755929 247.9599499 248.3442822 248.7285899
[637] 249.1128727 249.4971309 249.8813642 250.2655727 250.6497564 251.0339152
[643] 251.4180491 251.8021581 252.1862421 252.5703012 252.9543353 253.3383443
[649] 253.7223284 254.1062873 254.4902211 254.8741299 255.2580134 255.6418718
[655] 256.0257050 256.4095130 256.7932957 257.1770531 257.5607852 257.9444919
[661] 258.3281733 258.7118293 259.0954599 259.4790650 259.8626447 260.2461989
[667] 260.6297275 261.0132306 261.3967081 261.7801599 262.1635862 262.5469868
[673] 262.9303616 263.3137108 263.6970342 264.0803318 264.4636036 264.8468496
[679] 265.2300697 265.6132640 265.9964323 266.3795746 266.7626910 267.1457814
[685] 267.5288457 267.9118840 268.2948961 268.6778822 269.0608421 269.4437758
[691] 269.8266833 270.2095646 270.5924196 270.9752483 271.3580507 271.7408267
[697] 272.1235763 272.5062996 272.8889963 273.2716666 273.6543104 274.0369277
[703] 274.4195184 274.8020825 275.1846200 275.5671308 275.9496149 276.3320723
[709] 276.7145030 277.0969069 277.4792840 277.8616342 278.2439576 278.6262541
[715] 279.0085236 279.3907662 279.7729818 280.1551704 280.5373319 280.9194664
[721] 281.3015737 281.6836539 282.0657069 282.4477327 282.8297312 283.2117025
[727] 283.5936465 283.9755631 284.3574524 284.7393143 285.1211487 285.5029557
[733] 285.8847352 286.2664871 286.6482115 287.0299084 287.4115775 287.7932191
[739] 288.1748329 288.5564191 288.9379775 289.3195081 289.7010109 290.0824858
[745] 290.4639329 290.8453520 291.2267432 291.6081065 291.9894417 292.3707489
[751] 292.7520280 293.1332789 293.5145018 293.8956965 294.2768629 294.6580012
[757] 295.0391111 295.4201928 295.8012461 296.1822710 296.5632675 296.9442356
[763] 297.3251752 297.7060863 298.0869689 298.4678229 298.8486483 299.2294450
[769] 299.6102131 299.9909524 300.3716631 300.7523449 301.1329979 301.5136221
[775] 301.8942174 302.2747838 302.6553213 303.0358297 303.4163092 303.7967596
[781] 304.1771809 304.5575731 304.9379362 305.3182700 305.6985747 306.0788501
[787] 306.4590962 306.8393129 307.2195003 307.5996584 307.9797870 308.3598861
[793] 308.7399557 309.1199958 309.5000063 309.8799873 310.2599385 310.6398602
[799] 311.0197521 311.3996142 311.7794466 312.1592492 312.5390219 312.9187648
[805] 313.2984777 313.6781606 314.0578136 314.4374366 314.8170295 314.9385063
$y
[1] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[38] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[75] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[112] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[149] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[186] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[223] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[260] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[297] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[334] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[371] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[408] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[445] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[482] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[519] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[556] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[593] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[630] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[667] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[704] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[741] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[778] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
$z
[1] 0.0000000 0.3994935 0.7979742 1.1954421 1.5918975 1.9873403
[7] 2.3817708 2.7751890 3.1675952 3.5589894 3.9493717 4.3387423
[13] 4.7271013 5.1144488 5.5007850 5.8861099 6.2704237 6.6537266
[19] 7.0360186 7.4172998 7.7975705 8.1768306 8.5550804 8.9323199
[25] 9.3085493 9.6837687 10.0579783 10.4311780 10.8033681 11.1745487
[31] 11.5447199 11.9138818 12.2820345 12.6491782 13.0153130 13.3804390
[37] 13.7445562 14.1076649 14.4697651 14.8308570 15.1909407 15.5500163
[43] 15.9080838 16.2651435 16.6211955 16.9762398 17.3302766 17.6833059
[49] 18.0353280 18.3863428 18.7363506 19.0853515 19.4333455 19.7803328
[55] 20.1263134 20.4712876 20.8152553 21.1582168 21.5001721 21.8411214
[61] 22.1810647 22.5200021 22.8579339 23.1948600 23.5307806 23.8656958
[67] 24.1996058 24.5325106 24.8644103 25.1953050 25.5251949 25.8540800
[73] 26.1819606 26.5088365 26.8347081 27.1595754 27.4834384 27.8062974
[79] 28.1281523 28.4490034 28.7688507 29.0876943 29.4055344 29.7223710
[85] 30.0382042 30.3530342 30.6668610 30.9796848 31.2915056 31.6023236
[91] 31.9121388 32.2209514 32.5287615 32.8355691 33.1413745 33.4461776
[97] 33.7499785 34.0527775 34.3545745 34.6553697 34.9551632 35.2539550
[103] 35.5517454 35.8485343 36.1443219 36.4391082 36.7328935 37.0256777
[109] 37.3174610 37.6082435 37.8980252 38.1868063 38.4745869 38.7613670
[115] 39.0471468 39.3319263 39.6157057 39.8984851 40.1802644 40.4610440
[121] 40.7408237 41.0196038 41.2973843 41.5741654 41.8499470 42.1247294
[127] 42.3985125 42.6712966 42.9430817 43.2138678 43.4836551 43.7524437
[133] 44.0202336 44.2870250 44.5528179 44.8176125 45.0814088 45.3442069
[139] 45.6060070 45.8668090 46.1266131 46.3854194 46.6432280 46.9000390
[145] 47.1558524 47.4106683 47.6644869 47.9173082 48.1691323 48.4199593
[151] 48.6697893 48.9186224 49.1664586 49.4132981 49.6591409 49.9039871
[157] 50.1478369 50.3906902 50.6325473 50.8734081 51.1132727 51.3521413
[163] 51.5900140 51.8268907 52.0627716 52.2976569 52.5315465 52.7644405
[169] 52.9963391 53.2272423 53.4571502 53.6860629 53.9139805 54.1409030
[175] 54.3668306 54.5917633 54.8157011 55.0386443 55.2605928 55.4815468
[181] 55.7015064 55.9204715 56.1384423 56.3554189 56.5714014 56.7863898
[187] 57.0003842 57.2133847 57.4253913 57.6364043 57.8464236 58.0554492
[193] 58.2634814 58.4705202 58.6765656 58.8816177 59.0856767 59.2887425
[199] 59.4908153 59.6918952 59.8919821 60.0910763 60.2891777 60.4862865
[205] 60.6824028 60.8775265 61.0716578 61.2647968 61.4569435 61.6480980
[211] 61.8382604 62.0274307 62.2156091 62.4027956 62.5889903 62.7741933
[217] 62.9584046 63.1416243 63.3238524 63.5050892 63.6853346 63.8645886
[223] 64.0428515 64.2201232 64.3964038 64.5716935 64.7459922 64.9193000
[229] 65.0916171 65.2629434 65.4332791 65.6026242 65.7709789 65.9383431
[235] 66.1047169 66.2701005 66.4344939 66.5978971 66.7603102 66.9217334
[241] 67.0821666 67.2416099 67.4000635 67.5575273 67.7140015 67.8694861
[247] 68.0239812 68.1774868 68.3300031 68.4815301 68.6320678 68.7816163
[253] 68.9301758 69.0777462 69.2243277 69.3699202 69.5145239 69.6581389
[259] 69.8007652 69.9424028 70.0830519 70.2227125 70.3613846 70.4990684
[265] 70.6357639 70.7714712 70.9061903 71.0399213 71.1726643 71.3044194
[271] 71.4351865 71.5649658 71.6937573 71.8215611 71.9483773 72.0742059
[277] 72.1990470 72.3229006 72.4457669 72.5676459 72.6885376 72.8084421
[283] 72.9273595 73.0452898 73.1622332 73.2781896 73.3931591 73.5071418
[289] 73.6201378 73.7321471 73.8431698 73.9532059 74.0622556 74.1703188
[295] 74.2773956 74.3834862 74.4885905 74.5927086 74.6958406 74.7979865
[301] 74.8991465 74.9993205 75.0985086 75.1967109 75.2939275 75.3901584
[307] 75.4854037 75.5796634 75.6729375 75.7652263 75.8565296 75.9468477
[313] 76.0361804 76.1245280 76.2118904 76.2982677 76.3836600 76.4680674
[319] 76.5514898 76.6339274 76.7153802 76.7958483 76.8753317 76.9538305
[325] 77.0313447 77.1078745 77.1834198 77.2579808 77.3315574 77.4041498
[331] 77.4757580 77.5463820 77.6160220 77.6846780 77.7523500 77.8190380
[337] 77.8847423 77.9494627 78.0131994 78.0759525 78.1377219 78.1985078
[343] 78.2583102 78.3171291 78.3749646 78.4318169 78.4876858 78.5425715
[349] 78.5964741 78.6493936 78.7013300 78.7522835 78.8022540 78.8512417
[355] 78.8992465 78.9462686 78.9923080 79.0373647 79.0814388 79.1245305
[361] 79.1666396 79.2077663 79.2479107 79.2870727 79.3252525 79.3624502
[367] 79.3986656 79.4338990 79.4681504 79.5014198 79.5337073 79.5650129
[373] 79.5953367 79.6246788 79.6530392 79.6804179 79.7068151 79.7322308
[379] 79.7566649 79.7801177 79.8025891 79.8240792 79.8445881 79.8641158
[385] 79.8826623 79.9002278 79.9168122 79.9324157 79.9470382 79.9606799
[391] 79.9733408 79.9850209 79.9957204 80.0054392 80.0141774 80.0219351
[397] 80.0287123 80.0345091 80.0393256 80.0431617 80.0460176 80.0478933
[403] 80.0487888 80.0487043 80.0476397 80.0455951 80.0425706 80.0385663
[409] 80.0335821 80.0276182 80.0206746 80.0127513 80.0038484 79.9939660
[415] 79.9831042 79.9712628 79.9584421 79.9446421 79.9298629 79.9141044
[421] 79.8973667 79.8796500 79.8609542 79.8412795 79.8206258 79.7989932
[427] 79.7763818 79.7527916 79.7282227 79.7026752 79.6761490 79.6486443
[433] 79.6201611 79.5906995 79.5602595 79.5288411 79.4964445 79.4630697
[439] 79.4287167 79.3933856 79.3570764 79.3197893 79.2815242 79.2422812
[445] 79.2020604 79.1608618 79.1186855 79.0755315 79.0313999 78.9862908
[451] 78.9402042 78.8931401 78.8450986 78.7960799 78.7460838 78.6951105
[457] 78.6431601 78.5902325 78.5363279 78.4814463 78.4255878 78.3687524
[463] 78.3109401 78.2521511 78.1923854 78.1316430 78.0699240 78.0072285
[469] 77.9435565 77.8789081 77.8132832 77.7466821 77.6791047 77.6105511
[475] 77.5410213 77.4705155 77.3990336 77.3265757 77.2531420 77.1787323
[481] 77.1033469 77.0269857 76.9496488 76.8713363 76.7920482 76.7117846
[487] 76.6305455 76.5483311 76.4651412 76.3809761 76.2958358 76.2097203
[493] 76.1226297 76.0345640 75.9455233 75.8555077 75.7645172 75.6725519
[499] 75.5796119 75.4856971 75.3908077 75.2949437 75.1981052 75.1002922
[505] 75.0015048 74.9017430 74.8010070 74.6992967 74.5966122 74.4929537
[511] 74.3883211 74.2827145 74.1761339 74.0685795 73.9600513 73.8505494
[517] 73.7400737 73.6286244 73.5162015 73.4028052 73.2884354 73.1730922
[523] 73.0567756 72.9394858 72.8212228 72.7019867 72.5817774 72.4605952
[529] 72.3384400 72.2153119 72.0912109 71.9661372 71.8400908 71.7130717
[535] 71.5850800 71.4561158 71.3261792 71.1952701 71.0633887 70.9305351
[541] 70.7967092 70.6619112 70.5261411 70.3893989 70.2516848 70.1129989
[547] 69.9733410 69.8327115 69.6911102 69.5485373 69.4049928 69.2604768
[553] 69.1149893 68.9685305 68.8211003 68.6726989 68.5233263 68.3729826
[559] 68.2216679 68.0693821 67.9161254 67.7618979 67.6066995 67.4505305
[565] 67.2933908 67.1352804 66.9761996 66.8161483 66.6551266 66.4931346
[571] 66.3301723 66.1662398 66.0013372 65.8354645 65.6686218 65.5008092
[577] 65.3320268 65.1622745 64.9915526 64.8198610 64.6471998 64.4735690
[583] 64.2989689 64.1233994 63.9468605 63.7693524 63.5908752 63.4114288
[589] 63.2310134 63.0496291 62.8672758 62.6839538 62.4996630 62.3144035
[595] 62.1281754 61.9409787 61.7528136 61.5636801 61.3735783 61.1825082
[601] 60.9904699 60.7974635 60.6034891 60.4085467 60.2126364 60.0157583
[607] 59.8179124 59.6190989 59.4193178 59.2185691 59.0168530 58.8141694
[613] 58.6105186 58.4059005 58.2003153 57.9937630 57.7862436 57.5777574
[619] 57.3683042 57.1578843 56.9464976 56.7341443 56.5208245 56.3065381
[625] 56.0912853 55.8750662 55.6578808 55.4397293 55.2206116 55.0005279
[631] 54.7794782 54.5574627 54.3344813 54.1105342 53.8856215 53.6597432
[637] 53.4328994 53.2050902 52.9763156 52.7465758 52.5158708 52.2842007
[643] 52.0515656 51.8179655 51.5834006 51.3478708 51.1113764 50.8739174
[649] 50.6354937 50.3961057 50.1557532 49.9144365 49.6721555 49.4289103
[655] 49.1847011 48.9395280 48.6933909 48.4462900 48.1982253 47.9491971
[661] 47.6992052 47.4482498 47.1963311 46.9434490 46.6896037 46.4347952
[667] 46.1790236 45.9222891 45.6645916 45.4059313 45.1463083 44.8857226
[673] 44.6241744 44.3616636 44.0981905 43.8337550 43.5683573 43.3019975
[679] 43.0346756 42.7663918 42.4971460 42.2269385 41.9557692 41.6836383
[685] 41.4105459 41.1364920 40.8614768 40.5855002 40.3085625 40.0306637
[691] 39.7518039 39.4719831 39.1912015 38.9094592 38.6267562 38.3430926
[697] 38.0584686 37.7728841 37.4863394 37.1988344 36.9103694 36.6209443
[703] 36.3305592 36.0392143 35.7469097 35.4536454 35.1594215 34.8642381
[709] 34.5680954 34.2709933 33.9729320 33.6739116 33.3739322 33.0729939
[715] 32.7710967 32.4682408 32.1644263 31.8596532 31.5539216 31.2472316
[721] 30.9395834 30.6309770 30.3214126 30.0108901 29.6994098 29.3869716
[727] 29.0735758 28.7592223 28.4439114 28.1276430 27.8104173 27.4922344
[733] 27.1730944 26.8529973 26.5319434 26.2099326 25.8869650 25.5630409
[739] 25.2381602 24.9123230 24.5855295 24.2577798 23.9290740 23.5994121
[745] 23.2687942 22.9372206 22.6046912 22.2712061 21.9367655 21.6013695
[751] 21.2650181 20.9277115 20.5894498 20.2502330 19.9100613 19.5689347
[757] 19.2268535 18.8838176 18.5398272 18.1948823 17.8489832 17.5021298
[763] 17.1543224 16.8055609 16.4558455 16.1051763 15.7535535 15.4009770
[769] 15.0474471 14.6929638 14.3375272 13.9811375 13.6237946 13.2654989
[775] 12.9062503 12.5460489 12.1848949 11.8227884 11.4597295 11.0957182
[781] 10.7307548 10.3648392 9.9979717 9.6301522 9.2613811 8.8916582
[787] 8.5209838 8.1493579 7.7767807 7.4032523 7.0287728 6.6533422
[793] 6.2769608 5.8996285 5.5213456 5.1421122 4.7619283 4.3807940
[799] 3.9987095 3.6156749 3.2316903 2.8467558 2.4608715 2.0740376
[805] 1.6862541 1.2975211 0.9078389 0.5172074 0.1256268 0.0000000
$t
[1] 0.0000 0.0100 0.0200 0.0300 0.0400 0.0500 0.0600 0.0700 0.0800 0.0900
[11] 0.1000 0.1100 0.1200 0.1300 0.1400 0.1500 0.1600 0.1700 0.1800 0.1900
[21] 0.2000 0.2100 0.2200 0.2300 0.2400 0.2500 0.2600 0.2700 0.2800 0.2900
[31] 0.3000 0.3100 0.3200 0.3300 0.3400 0.3500 0.3600 0.3700 0.3800 0.3900
[41] 0.4000 0.4100 0.4200 0.4300 0.4400 0.4500 0.4600 0.4700 0.4800 0.4900
[51] 0.5000 0.5100 0.5200 0.5300 0.5400 0.5500 0.5600 0.5700 0.5800 0.5900
[61] 0.6000 0.6100 0.6200 0.6300 0.6400 0.6500 0.6600 0.6700 0.6800 0.6900
[71] 0.7000 0.7100 0.7200 0.7300 0.7400 0.7500 0.7600 0.7700 0.7800 0.7900
[81] 0.8000 0.8100 0.8200 0.8300 0.8400 0.8500 0.8600 0.8700 0.8800 0.8900
[91] 0.9000 0.9100 0.9200 0.9300 0.9400 0.9500 0.9600 0.9700 0.9800 0.9900
[101] 1.0000 1.0100 1.0200 1.0300 1.0400 1.0500 1.0600 1.0700 1.0800 1.0900
[111] 1.1000 1.1100 1.1200 1.1300 1.1400 1.1500 1.1600 1.1700 1.1800 1.1900
[121] 1.2000 1.2100 1.2200 1.2300 1.2400 1.2500 1.2600 1.2700 1.2800 1.2900
[131] 1.3000 1.3100 1.3200 1.3300 1.3400 1.3500 1.3600 1.3700 1.3800 1.3900
[141] 1.4000 1.4100 1.4200 1.4300 1.4400 1.4500 1.4600 1.4700 1.4800 1.4900
[151] 1.5000 1.5100 1.5200 1.5300 1.5400 1.5500 1.5600 1.5700 1.5800 1.5900
[161] 1.6000 1.6100 1.6200 1.6300 1.6400 1.6500 1.6600 1.6700 1.6800 1.6900
[171] 1.7000 1.7100 1.7200 1.7300 1.7400 1.7500 1.7600 1.7700 1.7800 1.7900
[181] 1.8000 1.8100 1.8200 1.8300 1.8400 1.8500 1.8600 1.8700 1.8800 1.8900
[191] 1.9000 1.9100 1.9200 1.9300 1.9400 1.9500 1.9600 1.9700 1.9800 1.9900
[201] 2.0000 2.0100 2.0200 2.0300 2.0400 2.0500 2.0600 2.0700 2.0800 2.0900
[211] 2.1000 2.1100 2.1200 2.1300 2.1400 2.1500 2.1600 2.1700 2.1800 2.1900
[221] 2.2000 2.2100 2.2200 2.2300 2.2400 2.2500 2.2600 2.2700 2.2800 2.2900
[231] 2.3000 2.3100 2.3200 2.3300 2.3400 2.3500 2.3600 2.3700 2.3800 2.3900
[241] 2.4000 2.4100 2.4200 2.4300 2.4400 2.4500 2.4600 2.4700 2.4800 2.4900
[251] 2.5000 2.5100 2.5200 2.5300 2.5400 2.5500 2.5600 2.5700 2.5800 2.5900
[261] 2.6000 2.6100 2.6200 2.6300 2.6400 2.6500 2.6600 2.6700 2.6800 2.6900
[271] 2.7000 2.7100 2.7200 2.7300 2.7400 2.7500 2.7600 2.7700 2.7800 2.7900
[281] 2.8000 2.8100 2.8200 2.8300 2.8400 2.8500 2.8600 2.8700 2.8800 2.8900
[291] 2.9000 2.9100 2.9200 2.9300 2.9400 2.9500 2.9600 2.9700 2.9800 2.9900
[301] 3.0000 3.0100 3.0200 3.0300 3.0400 3.0500 3.0600 3.0700 3.0800 3.0900
[311] 3.1000 3.1100 3.1200 3.1300 3.1400 3.1500 3.1600 3.1700 3.1800 3.1900
[321] 3.2000 3.2100 3.2200 3.2300 3.2400 3.2500 3.2600 3.2700 3.2800 3.2900
[331] 3.3000 3.3100 3.3200 3.3300 3.3400 3.3500 3.3600 3.3700 3.3800 3.3900
[341] 3.4000 3.4100 3.4200 3.4300 3.4400 3.4500 3.4600 3.4700 3.4800 3.4900
[351] 3.5000 3.5100 3.5200 3.5300 3.5400 3.5500 3.5600 3.5700 3.5800 3.5900
[361] 3.6000 3.6100 3.6200 3.6300 3.6400 3.6500 3.6600 3.6700 3.6800 3.6900
[371] 3.7000 3.7100 3.7200 3.7300 3.7400 3.7500 3.7600 3.7700 3.7800 3.7900
[381] 3.8000 3.8100 3.8200 3.8300 3.8400 3.8500 3.8600 3.8700 3.8800 3.8900
[391] 3.9000 3.9100 3.9200 3.9300 3.9400 3.9500 3.9600 3.9700 3.9800 3.9900
[401] 4.0000 4.0100 4.0200 4.0300 4.0400 4.0500 4.0600 4.0700 4.0800 4.0900
[411] 4.1000 4.1100 4.1200 4.1300 4.1400 4.1500 4.1600 4.1700 4.1800 4.1900
[421] 4.2000 4.2100 4.2200 4.2300 4.2400 4.2500 4.2600 4.2700 4.2800 4.2900
[431] 4.3000 4.3100 4.3200 4.3300 4.3400 4.3500 4.3600 4.3700 4.3800 4.3900
[441] 4.4000 4.4100 4.4200 4.4300 4.4400 4.4500 4.4600 4.4700 4.4800 4.4900
[451] 4.5000 4.5100 4.5200 4.5300 4.5400 4.5500 4.5600 4.5700 4.5800 4.5900
[461] 4.6000 4.6100 4.6200 4.6300 4.6400 4.6500 4.6600 4.6700 4.6800 4.6900
[471] 4.7000 4.7100 4.7200 4.7300 4.7400 4.7500 4.7600 4.7700 4.7800 4.7900
[481] 4.8000 4.8100 4.8200 4.8300 4.8400 4.8500 4.8600 4.8700 4.8800 4.8900
[491] 4.9000 4.9100 4.9200 4.9300 4.9400 4.9500 4.9600 4.9700 4.9800 4.9900
[501] 5.0000 5.0100 5.0200 5.0300 5.0400 5.0500 5.0600 5.0700 5.0800 5.0900
[511] 5.1000 5.1100 5.1200 5.1300 5.1400 5.1500 5.1600 5.1700 5.1800 5.1900
[521] 5.2000 5.2100 5.2200 5.2300 5.2400 5.2500 5.2600 5.2700 5.2800 5.2900
[531] 5.3000 5.3100 5.3200 5.3300 5.3400 5.3500 5.3600 5.3700 5.3800 5.3900
[541] 5.4000 5.4100 5.4200 5.4300 5.4400 5.4500 5.4600 5.4700 5.4800 5.4900
[551] 5.5000 5.5100 5.5200 5.5300 5.5400 5.5500 5.5600 5.5700 5.5800 5.5900
[561] 5.6000 5.6100 5.6200 5.6300 5.6400 5.6500 5.6600 5.6700 5.6800 5.6900
[571] 5.7000 5.7100 5.7200 5.7300 5.7400 5.7500 5.7600 5.7700 5.7800 5.7900
[581] 5.8000 5.8100 5.8200 5.8300 5.8400 5.8500 5.8600 5.8700 5.8800 5.8900
[591] 5.9000 5.9100 5.9200 5.9300 5.9400 5.9500 5.9600 5.9700 5.9800 5.9900
[601] 6.0000 6.0100 6.0200 6.0300 6.0400 6.0500 6.0600 6.0700 6.0800 6.0900
[611] 6.1000 6.1100 6.1200 6.1300 6.1400 6.1500 6.1600 6.1700 6.1800 6.1900
[621] 6.2000 6.2100 6.2200 6.2300 6.2400 6.2500 6.2600 6.2700 6.2800 6.2900
[631] 6.3000 6.3100 6.3200 6.3300 6.3400 6.3500 6.3600 6.3700 6.3800 6.3900
[641] 6.4000 6.4100 6.4200 6.4300 6.4400 6.4500 6.4600 6.4700 6.4800 6.4900
[651] 6.5000 6.5100 6.5200 6.5300 6.5400 6.5500 6.5600 6.5700 6.5800 6.5900
[661] 6.6000 6.6100 6.6200 6.6300 6.6400 6.6500 6.6600 6.6700 6.6800 6.6900
[671] 6.7000 6.7100 6.7200 6.7300 6.7400 6.7500 6.7600 6.7700 6.7800 6.7900
[681] 6.8000 6.8100 6.8200 6.8300 6.8400 6.8500 6.8600 6.8700 6.8800 6.8900
[691] 6.9000 6.9100 6.9200 6.9300 6.9400 6.9500 6.9600 6.9700 6.9800 6.9900
[701] 7.0000 7.0100 7.0200 7.0300 7.0400 7.0500 7.0600 7.0700 7.0800 7.0900
[711] 7.1000 7.1100 7.1200 7.1300 7.1400 7.1500 7.1600 7.1700 7.1800 7.1900
[721] 7.2000 7.2100 7.2200 7.2300 7.2400 7.2500 7.2600 7.2700 7.2800 7.2900
[731] 7.3000 7.3100 7.3200 7.3300 7.3400 7.3500 7.3600 7.3700 7.3800 7.3900
[741] 7.4000 7.4100 7.4200 7.4300 7.4400 7.4500 7.4600 7.4700 7.4800 7.4900
[751] 7.5000 7.5100 7.5200 7.5300 7.5400 7.5500 7.5600 7.5700 7.5800 7.5900
[761] 7.6000 7.6100 7.6200 7.6300 7.6400 7.6500 7.6600 7.6700 7.6800 7.6900
[771] 7.7000 7.7100 7.7200 7.7300 7.7400 7.7500 7.7600 7.7700 7.7800 7.7900
[781] 7.8000 7.8100 7.8200 7.8300 7.8400 7.8500 7.8600 7.8700 7.8800 7.8900
[791] 7.9000 7.9100 7.9200 7.9300 7.9400 7.9500 7.9600 7.9700 7.9800 7.9900
[801] 8.0000 8.0100 8.0200 8.0300 8.0400 8.0500 8.0600 8.0700 8.0800 8.0832
$xf
[1] 314.9385
$yf
[1] 0
$zf
[1] 0
$tf
[1] 8.0832
$vx
[1] 40.00000 39.99671 39.99343 39.99014 39.98687 39.98360 39.98033 39.97707
[9] 39.97381 39.97056 39.96731 39.96407 39.96083 39.95760 39.95437 39.95115
[17] 39.94793 39.94471 39.94150 39.93830 39.93510 39.93190 39.92871 39.92552
[25] 39.92234 39.91916 39.91598 39.91282 39.90965 39.90649 39.90334 39.90018
[33] 39.89704 39.89390 39.89076 39.88762 39.88450 39.88137 39.87825 39.87514
[41] 39.87203 39.86892 39.86582 39.86272 39.85963 39.85654 39.85345 39.85037
[49] 39.84730 39.84423 39.84116 39.83810 39.83504 39.83198 39.82893 39.82589
[57] 39.82285 39.81981 39.81678 39.81375 39.81073 39.80771 39.80469 39.80168
[65] 39.79867 39.79567 39.79267 39.78968 39.78669 39.78370 39.78072 39.77774
[73] 39.77477 39.77180 39.76883 39.76587 39.76292 39.75996 39.75701 39.75407
[81] 39.75113 39.74819 39.74526 39.74233 39.73941 39.73649 39.73357 39.73066
[89] 39.72775 39.72485 39.72195 39.71905 39.71616 39.71327 39.71039 39.70751
[97] 39.70463 39.70176 39.69889 39.69603 39.69317 39.69031 39.68746 39.68461
[105] 39.68177 39.67893 39.67609 39.67326 39.67043 39.66760 39.66478 39.66196
[113] 39.65915 39.65634 39.65353 39.65073 39.64793 39.64514 39.64235 39.63956
[121] 39.63677 39.63399 39.63122 39.62845 39.62568 39.62291 39.62015 39.61739
[129] 39.61464 39.61189 39.60914 39.60640 39.60366 39.60092 39.59819 39.59546
[137] 39.59274 39.59001 39.58730 39.58458 39.58187 39.57916 39.57646 39.57376
[145] 39.57106 39.56837 39.56568 39.56299 39.56031 39.55763 39.55495 39.55228
[153] 39.54961 39.54695 39.54428 39.54163 39.53897 39.53632 39.53367 39.53102
[161] 39.52838 39.52574 39.52311 39.52047 39.51785 39.51522 39.51260 39.50998
[169] 39.50736 39.50475 39.50214 39.49954 39.49693 39.49433 39.49174 39.48914
[177] 39.48655 39.48397 39.48138 39.47880 39.47623 39.47365 39.47108 39.46851
[185] 39.46595 39.46339 39.46083 39.45827 39.45572 39.45317 39.45062 39.44808
[193] 39.44554 39.44300 39.44047 39.43793 39.43541 39.43288 39.43036 39.42784
[201] 39.42532 39.42281 39.42029 39.41779 39.41528 39.41278 39.41028 39.40778
[209] 39.40529 39.40280 39.40031 39.39782 39.39534 39.39286 39.39038 39.38791
[217] 39.38544 39.38297 39.38050 39.37804 39.37558 39.37312 39.37066 39.36821
[225] 39.36576 39.36331 39.36087 39.35843 39.35599 39.35355 39.35111 39.34868
[233] 39.34625 39.34382 39.34140 39.33898 39.33656 39.33414 39.33173 39.32932
[241] 39.32691 39.32450 39.32209 39.31969 39.31729 39.31489 39.31250 39.31011
[249] 39.30772 39.30533 39.30294 39.30056 39.29818 39.29580 39.29342 39.29105
[257] 39.28868 39.28631 39.28394 39.28157 39.27921 39.27685 39.27449 39.27214
[265] 39.26978 39.26743 39.26508 39.26273 39.26039 39.25804 39.25570 39.25336
[273] 39.25102 39.24869 39.24635 39.24402 39.24169 39.23937 39.23704 39.23472
[281] 39.23239 39.23008 39.22776 39.22544 39.22313 39.22082 39.21851 39.21620
[289] 39.21389 39.21159 39.20928 39.20698 39.20468 39.20239 39.20009 39.19780
[297] 39.19551 39.19322 39.19093 39.18864 39.18635 39.18407 39.18179 39.17951
[305] 39.17723 39.17495 39.17268 39.17040 39.16813 39.16586 39.16359 39.16133
[313] 39.15906 39.15679 39.15453 39.15227 39.15001 39.14775 39.14550 39.14324
[321] 39.14099 39.13873 39.13648 39.13423 39.13198 39.12974 39.12749 39.12524
[329] 39.12300 39.12076 39.11852 39.11628 39.11404 39.11180 39.10957 39.10733
[337] 39.10510 39.10287 39.10064 39.09841 39.09618 39.09395 39.09173 39.08950
[345] 39.08728 39.08505 39.08283 39.08061 39.07839 39.07617 39.07395 39.07174
[353] 39.06952 39.06730 39.06509 39.06288 39.06067 39.05845 39.05624 39.05403
[361] 39.05183 39.04962 39.04741 39.04520 39.04300 39.04079 39.03859 39.03639
[369] 39.03419 39.03198 39.02978 39.02758 39.02538 39.02319 39.02099 39.01879
[377] 39.01659 39.01440 39.01220 39.01001 39.00781 39.00562 39.00343 39.00123
[385] 38.99904 38.99685 38.99466 38.99247 38.99028 38.98809 38.98590 38.98371
[393] 38.98152 38.97933 38.97715 38.97496 38.97277 38.97058 38.96840 38.96621
[401] 38.96403 38.96184 38.95966 38.95747 38.95529 38.95310 38.95092 38.94874
[409] 38.94655 38.94437 38.94218 38.94000 38.93782 38.93564 38.93345 38.93127
[417] 38.92909 38.92690 38.92472 38.92254 38.92036 38.91817 38.91599 38.91381
[425] 38.91163 38.90944 38.90726 38.90508 38.90290 38.90071 38.89853 38.89635
[433] 38.89416 38.89198 38.88979 38.88761 38.88543 38.88324 38.88106 38.87887
[441] 38.87669 38.87450 38.87232 38.87013 38.86794 38.86576 38.86357 38.86138
[449] 38.85920 38.85701 38.85482 38.85263 38.85044 38.84825 38.84606 38.84387
[457] 38.84168 38.83949 38.83730 38.83510 38.83291 38.83072 38.82852 38.82633
[465] 38.82413 38.82193 38.81974 38.81754 38.81534 38.81314 38.81095 38.80875
[473] 38.80654 38.80434 38.80214 38.79994 38.79773 38.79553 38.79333 38.79112
[481] 38.78891 38.78670 38.78450 38.78229 38.78008 38.77787 38.77565 38.77344
[489] 38.77123 38.76901 38.76680 38.76458 38.76236 38.76015 38.75793 38.75571
[497] 38.75349 38.75126 38.74904 38.74682 38.74459 38.74236 38.74014 38.73791
[505] 38.73568 38.73345 38.73121 38.72898 38.72675 38.72451 38.72227 38.72004
[513] 38.71780 38.71556 38.71332 38.71107 38.70883 38.70658 38.70434 38.70209
[521] 38.69984 38.69759 38.69534 38.69308 38.69083 38.68857 38.68632 38.68406
[529] 38.68180 38.67953 38.67727 38.67501 38.67274 38.67047 38.66821 38.66594
[537] 38.66366 38.66139 38.65912 38.65684 38.65456 38.65228 38.65000 38.64772
[545] 38.64543 38.64315 38.64086 38.63857 38.63628 38.63399 38.63169 38.62940
[553] 38.62710 38.62480 38.62250 38.62020 38.61790 38.61559 38.61328 38.61097
[561] 38.60866 38.60635 38.60403 38.60172 38.59940 38.59708 38.59476 38.59243
[569] 38.59011 38.58778 38.58545 38.58312 38.58079 38.57845 38.57611 38.57377
[577] 38.57143 38.56909 38.56675 38.56440 38.56205 38.55970 38.55735 38.55499
[585] 38.55263 38.55028 38.54791 38.54555 38.54319 38.54082 38.53845 38.53608
[593] 38.53371 38.53133 38.52895 38.52657 38.52419 38.52181 38.51942 38.51703
[601] 38.51464 38.51225 38.50985 38.50746 38.50506 38.50266 38.50025 38.49785
[609] 38.49544 38.49303 38.49061 38.48820 38.48578 38.48336 38.48094 38.47852
[617] 38.47609 38.47366 38.47123 38.46879 38.46636 38.46392 38.46148 38.45904
[625] 38.45659 38.45414 38.45169 38.44924 38.44678 38.44432 38.44186 38.43940
[633] 38.43694 38.43447 38.43200 38.42953 38.42705 38.42457 38.42209 38.41961
[641] 38.41712 38.41464 38.41215 38.40965 38.40716 38.40466 38.40216 38.39965
[649] 38.39715 38.39464 38.39213 38.38962 38.38710 38.38458 38.38206 38.37953
[657] 38.37701 38.37448 38.37194 38.36941 38.36687 38.36433 38.36179 38.35924
[665] 38.35669 38.35414 38.35159 38.34903 38.34647 38.34391 38.34134 38.33877
[673] 38.33620 38.33363 38.33105 38.32847 38.32589 38.32331 38.32072 38.31813
[681] 38.31553 38.31294 38.31034 38.30774 38.30513 38.30252 38.29991 38.29730
[689] 38.29468 38.29206 38.28944 38.28681 38.28419 38.28156 38.27892 38.27628
[697] 38.27364 38.27100 38.26835 38.26571 38.26305 38.26040 38.25774 38.25508
[705] 38.25242 38.24975 38.24708 38.24441 38.24173 38.23905 38.23637 38.23368
[713] 38.23099 38.22830 38.22561 38.22291 38.22021 38.21751 38.21480 38.21209
[721] 38.20938 38.20666 38.20394 38.20122 38.19849 38.19576 38.19303 38.19030
[729] 38.18756 38.18482 38.18207 38.17932 38.17657 38.17382 38.17106 38.16830
[737] 38.16554 38.16277 38.16000 38.15723 38.15445 38.15167 38.14889 38.14610
[745] 38.14331 38.14052 38.13772 38.13492 38.13212 38.12931 38.12651 38.12369
[753] 38.12088 38.11806 38.11524 38.11241 38.10958 38.10675 38.10391 38.10107
[761] 38.09823 38.09539 38.09254 38.08968 38.08683 38.08397 38.08111 38.07824
[769] 38.07537 38.07250 38.06962 38.06674 38.06386 38.06098 38.05809 38.05519
[777] 38.05230 38.04940 38.04649 38.04359 38.04068 38.03776 38.03485 38.03193
[785] 38.02900 38.02608 38.02314 38.02021 38.01727 38.01433 38.01139 38.00844
[793] 38.00549 38.00253 37.99957 37.99661 37.99365 37.99068 37.98770 37.98473
[801] 37.98175 37.97877 37.97578 37.97279 37.96980 37.96680 37.96380 37.96079
[809] 37.95778 37.95477
$vy
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$vz
[1] 40.00000000 39.89870714 39.79742705 39.69615971 39.59490509
[6] 39.49366316 39.39243389 39.29121724 39.19001320 39.08882172
[11] 38.98764278 38.88647635 38.78532240 38.68418089 38.58305181
[16] 38.48193512 38.38083079 38.27973878 38.17865908 38.07759166
[21] 37.97653647 37.87549350 37.77446271 37.67344408 37.57243757
[26] 37.47144316 37.37046081 37.26949050 37.16853221 37.06758589
[31] 36.96665152 36.86572907 36.76481852 36.66391983 36.56303298
[36] 36.46215793 36.36129467 36.26044315 36.15960335 36.05877524
[41] 35.95795880 35.85715399 35.75636079 35.65557917 35.55480909
[46] 35.45405054 35.35330348 35.25256789 35.15184373 35.05113099
[51] 34.95042962 34.84973960 34.74906091 34.64839352 34.54773740
[56] 34.44709251 34.34645884 34.24583636 34.14522503 34.04462483
[61] 33.94403573 33.84345771 33.74289074 33.64233479 33.54178982
[66] 33.44125583 33.34073277 33.24022062 33.13971935 33.03922894
[71] 32.93874935 32.83828057 32.73782257 32.63737531 32.53693877
[76] 32.43651292 32.33609774 32.23569320 32.13529927 32.03491593
[81] 31.93454315 31.83418090 31.73382916 31.63348789 31.53315708
[86] 31.43283670 31.33252672 31.23222711 31.13193785 31.03165891
[91] 30.93139026 30.83113188 30.73088375 30.63064583 30.53041811
[96] 30.43020055 30.32999312 30.22979581 30.12960859 30.02943143
[101] 29.92926431 29.82910719 29.72896006 29.62882289 29.52869565
[106] 29.42857832 29.32847088 29.22837329 29.12828553 29.02820758
[111] 28.92813941 28.82808099 28.72803231 28.62799334 28.52796404
[116] 28.42794440 28.32793439 28.22793399 28.12794317 28.02796191
[121] 27.92799018 27.82802796 27.72807522 27.62813194 27.52819810
[126] 27.42827366 27.32835861 27.22845292 27.12855657 27.02866953
[131] 26.92879178 26.82892329 26.72906404 26.62921401 26.52937318
[136] 26.42954151 26.32971898 26.22990558 26.13010128 26.03030605
[141] 25.93051987 25.83074271 25.73097456 25.63121539 25.53146518
[146] 25.43172390 25.33199153 25.23226804 25.13255342 25.03284764
[151] 24.93315068 24.83346252 24.73378312 24.63411248 24.53445056
[156] 24.43479734 24.33515281 24.23551693 24.13588969 24.03627106
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[166] 23.43873893 23.33917997 23.23962945 23.14008734 23.04055363
[171] 22.94102828 22.84151128 22.74200261 22.64250225 22.54301017
[176] 22.44352635 22.34405077 22.24458342 22.14512426 22.04567327
[181] 21.94623045 21.84679575 21.74736918 21.64795069 21.54854028
[186] 21.44913791 21.34974358 21.25035726 21.15097893 21.05160856
[191] 20.95224614 20.85289165 20.75354507 20.65420638 20.55487555
[196] 20.45555256 20.35623741 20.25693006 20.15763049 20.05833870
[201] 19.95905465 19.85977832 19.76050971 19.66124878 19.56199552
[206] 19.46274990 19.36351192 19.26428155 19.16505877 19.06584356
[211] 18.96663590 18.86743577 18.76824316 18.66905805 18.56988041
[216] 18.47071023 18.37154749 18.27239217 18.17324425 18.07410371
[221] 17.97497054 17.87584472 17.77672623 17.67761504 17.57851115
[226] 17.47941454 17.38032518 17.28124305 17.18216815 17.08310046
[231] 16.98403994 16.88498660 16.78594041 16.68690135 16.58786940
[236] 16.48884456 16.38982679 16.29081609 16.19181244 16.09281582
[241] 15.99382621 15.89484359 15.79586796 15.69689929 15.59793757
[246] 15.49898278 15.40003490 15.30109392 15.20215982 15.10323259
[251] 15.00431221 14.90539866 14.80649193 14.70759200 14.60869885
[256] 14.50981248 14.41093286 14.31205998 14.21319382 14.11433438
[261] 14.01548162 13.91663555 13.81779614 13.71896337 13.62013724
[266] 13.52131773 13.42250483 13.32369851 13.22489877 13.12610558
[271] 13.02731895 12.92853884 12.82976526 12.73099818 12.63223758
[276] 12.53348346 12.43473581 12.33599460 12.23725983 12.13853147
[281] 12.03980953 11.94109398 11.84238481 11.74368200 11.64498555
[286] 11.54629545 11.44761167 11.34893420 11.25026304 11.15159817
[291] 11.05293958 10.95428725 10.85564117 10.75700134 10.65836773
[296] 10.55974034 10.46111916 10.36250416 10.26389535 10.16529270
[301] 10.06669621 9.96810587 9.86952166 9.77094358 9.67237160
[306] 9.57380573 9.47524594 9.37669223 9.27814459 9.17960301
[311] 9.08106747 8.98253797 8.88401449 8.78549703 8.68698557
[316] 8.58848011 8.48998063 8.39148712 8.29299957 8.19451799
[321] 8.09604234 7.99757263 7.89910884 7.80065098 7.70219901
[326] 7.60375295 7.50531277 7.40687847 7.30845004 7.21002748
[331] 7.11161077 7.01319990 6.91479486 6.81639566 6.71800227
[336] 6.61961469 6.52123292 6.42285694 6.32448674 6.22612233
[341] 6.12776369 6.02941081 5.93106369 5.83272231 5.73438668
[346] 5.63605678 5.53773261 5.43941415 5.34110142 5.24279438
[351] 5.14449305 5.04619741 4.94790746 4.84962319 4.75134459
[356] 4.65307166 4.55480439 4.45654278 4.35828682 4.26003650
[361] 4.16179183 4.06355278 3.96531936 3.86709157 3.76886939
[366] 3.67065283 3.57244187 3.47423651 3.37603676 3.27784259
[371] 3.17965401 3.08147102 2.98329361 2.88512177 2.78695550
[376] 2.68879480 2.59063966 2.49249009 2.39434606 2.29620759
[381] 2.19807467 2.09994729 2.00182545 1.90370916 1.80559839
[386] 1.70749316 1.60939346 1.51129929 1.41321064 1.31512751
[391] 1.21704990 1.11897781 1.02091123 0.92285016 0.82479461
[396] 0.72674456 0.62870002 0.53066098 0.43262745 0.33459941
[401] 0.23657688 0.13855985 0.04054831 -0.05745772 -0.15545827
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[446] -4.16874606 -4.26651524 -4.36427887 -4.46203694 -4.55978944
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[691] -27.93403149 -28.03011961 -28.12619886 -28.22226922 -28.31833067
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[716] -30.33352573 -30.42938586 -30.52523660 -30.62107792 -30.71690981
[721] -30.81273224 -30.90854520 -31.00434866 -31.10014259 -31.19592699
[726] -31.29170182 -31.38746707 -31.48322271 -31.57896872 -31.67470509
[731] -31.77043178 -31.86614878 -31.96185607 -32.05755362 -32.15324142
[736] -32.24891944 -32.34458765 -32.44024605 -32.53589460 -32.63153328
[741] -32.72716208 -32.82278097 -32.91838993 -33.01398893 -33.10957796
[746] -33.20515699 -33.30072600 -33.39628498 -33.49183388 -33.58737271
[751] -33.68290143 -33.77842002 -33.87392845 -33.96942672 -34.06491479
[756] -34.16039264 -34.25586025 -34.35131760 -34.44676467 -34.54220143
[761] -34.63762787 -34.73304395 -34.82844966 -34.92384497 -35.01922987
[766] -35.11460432 -35.20996832 -35.30532183 -35.40066483 -35.49599731
[771] -35.59131923 -35.68663058 -35.78193133 -35.87722146 -35.97250095
[776] -36.06776977 -36.16302791 -36.25827534 -36.35351204 -36.44873798
[781] -36.54395315 -36.63915752 -36.73435106 -36.82953376 -36.92470559
[786] -37.01986653 -37.11501656 -37.21015565 -37.30528378 -37.40040093
[791] -37.49550708 -37.59060220 -37.68568627 -37.78075926 -37.87582117
[796] -37.97087195 -38.06591159 -38.16094007 -38.25595736 -38.35096344
[801] -38.44595829 -38.54094188 -38.63591420 -38.73087521 -38.82582490
[806] -38.92076324 -39.01569021 -39.11060578 -39.20550994 -39.30040266
$vxf
[1] 37.95477
$vyf
[1] 0
$vzf
[1] -39.3004
rTephra documentation built on May 2, 2019, 1:30 p.m.
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Description Usage Arguments Examples
Description
This function models the transport of a single particle through a spatially variable, windy, turbulent atmosphere with gravity. It allows 4D-varying atmospheric wind and density. Currently, only Rayleigh drag (low Re) is permitted.
Usage
1 2 3 4 |
Arguments
vx0 |
initial x component of velocity [m/s] |
vy0 |
initial y component of velocity [m/s] |
vz0 |
initial z component of velocity [m/s] |
x0 |
initial easting [m] |
y0 |
initial northing [m] |
z0 |
initial elevation [m] |
t0 |
initial time [s] |
rho_r |
density of tephra particle [kg/m^3] |
r |
rock radius [m] |
dt |
model time interval [s] |
Cd |
drag coefficient [unitless] |
verbose |
logical: print runtime info to screen? |
rho_a |
scalar or function(x,y,z,t) or function(z) giving atmospheric density [kg/m^3]. If NULL, use a variable-density isothermal atmosphere (T = 0 deg C) |
zt |
function(x,y) giving topographic height [m] |
wx |
scalar or function(x,y,z,t) or function(z) giving component of wind to the east [m/s] |
wy |
scalar or function(x,y,z,t) or function(z) giving component of wind to the north [m/s] |
wz |
scalar or function(x,y,z,t) or function(z) giving upward component of wind [m/s] |
mindist |
minimum distance a particle must travel before simulation can stop. This is to prevent early model ends due to spurious collision with crater. |
TOPO |
DEM: list containing vectors x and y and matrix z with dimensions (length(x), length(y)) |
Kh |
horizontal eddy diffusivity [m^2/s] |
Kz |
vertical eddy diffusivity (often neglected) [m^2/s] |
eddy_timescale |
1/e decay time of turbulent eddies [s] |
g |
gravitational acceleration [m/s^2] |
Examples
1 | Tephra3d(vx0 = 40, vy0 = 0, vz0 = 40, z0 = 0)
|
Example output
$x
[1] 0.0000000 0.3999836 0.7999342 1.1998521 1.5997372 1.9995895
[7] 2.3994091 2.7991962 3.1989506 3.5986725 3.9983619 4.3980188
[13] 4.7976433 5.1972355 5.5967954 5.9963229 6.3958183 6.7952815
[19] 7.1947126 7.5941116 7.9934786 8.3928135 8.7921166 9.1913877
[25] 9.5906270 9.9898345 10.3890102 10.7881542 11.1872665 11.5863472
[31] 11.9853964 12.3844140 12.7834001 13.1823547 13.5812780 13.9801699
[37] 14.3790305 14.7778599 15.1766580 15.5754249 15.9741607 16.3728655
[43] 16.7715391 17.1701818 17.5687935 17.9673744 18.3659243 18.7644434
[49] 19.1629318 19.5613894 19.9598163 20.3582126 20.7565782 21.1549133
[55] 21.5532179 21.9514920 22.3497357 22.7479490 23.1461319 23.5442846
[61] 23.9424069 24.3404991 24.7385611 25.1365929 25.5345947 25.9325664
[67] 26.3305081 26.7284198 27.1263016 27.5241536 27.9219757 28.3197680
[73] 28.7175305 29.1152633 29.5129665 29.9106400 30.3082840 30.7058983
[79] 31.1034832 31.5010387 31.8985647 32.2960613 32.6935285 33.0909665
[85] 33.4883752 33.8857547 34.2831050 34.6804262 35.0777183 35.4749813
[91] 35.8722153 36.2694203 36.6665964 37.0637435 37.4608619 37.8579514
[97] 38.2550121 38.6520441 39.0490473 39.4460220 39.8429680 40.2398854
[103] 40.6367742 41.0336346 41.4304665 41.8272700 42.2240451 42.6207918
[109] 43.0175102 43.4142004 43.8108623 44.2074960 44.6041016 45.0006790
[115] 45.3972284 45.7937497 46.1902430 46.5867084 46.9831458 47.3795553
[121] 47.7759370 48.1722908 48.5686169 48.9649152 49.3611858 49.7574288
[127] 50.1536441 50.5498318 50.9459919 51.3421246 51.7382297 52.1343074
[133] 52.5303577 52.9263806 53.3223762 53.7183444 54.1142854 54.5101992
[139] 54.9060857 55.3019451 55.6977774 56.0935825 56.4893606 56.8851117
[145] 57.2808358 57.6765330 58.0722032 58.4678466 58.8634631 59.2590528
[151] 59.6546157 60.0501519 60.4456614 60.8411442 61.2366003 61.6320299
[157] 62.0274329 62.4228093 62.8181592 63.2134827 63.6087797 64.0040503
[163] 64.3992946 64.7945125 65.1897041 65.5848694 65.9800085 66.3751214
[169] 66.7702081 67.1652687 67.5603032 67.9553116 68.3502939 68.7452502
[175] 69.1401806 69.5350850 69.9299635 70.3248161 70.7196428 71.1144438
[181] 71.5092189 71.9039683 72.2986920 72.6933899 73.0880622 73.4827089
[187] 73.8773299 74.2719254 74.6664954 75.0610398 75.4555588 75.8500523
[193] 76.2445203 76.6389630 77.0333804 77.4277724 77.8221391 78.2164805
[199] 78.6107967 79.0050876 79.3993534 79.7935941 80.1878096 80.5820000
[205] 80.9761653 81.3703056 81.7644209 82.1585112 82.5525766 82.9466170
[211] 83.3406325 83.7346232 84.1285890 84.5225300 84.9164462 85.3103377
[217] 85.7042044 86.0980465 86.4918638 86.8856565 87.2794246 87.6731681
[223] 88.0668870 88.4605813 88.8542512 89.2478966 89.6415175 90.0351139
[229] 90.4286860 90.8222337 91.2157570 91.6092559 92.0027306 92.3961810
[235] 92.7896071 93.1830090 93.5763867 93.9697402 94.3630696 94.7563748
[241] 95.1496559 95.5429129 95.9361459 96.3293548 96.7225397 97.1157007
[247] 97.5088376 97.9019507 98.2950398 98.6881050 99.0811464 99.4741639
[253] 99.8671576 100.2601274 100.6530736 101.0459959 101.4388945 101.8317695
[259] 102.2246207 102.6174483 103.0102522 103.4030325 103.7957892 104.1885224
[265] 104.5812319 104.9739180 105.3665805 105.7592196 106.1518352 106.5444273
[271] 106.9369960 107.3295413 107.7220632 108.1145618 108.5070370 108.8994889
[277] 109.2919174 109.6843227 110.0767047 110.4690635 110.8613991 111.2537114
[283] 111.6460006 112.0382666 112.4305095 112.8227292 113.2149258 113.6070993
[289] 113.9992498 114.3913771 114.7834815 115.1755628 115.5676212 115.9596565
[295] 116.3516689 116.7436584 117.1356249 117.5275685 117.9194892 118.3113870
[301] 118.7032620 119.0951141 119.4869434 119.8787499 120.2705336 120.6622946
[307] 121.0540327 121.4457481 121.8374408 122.2291108 122.6207581 123.0123827
[313] 123.4039846 123.7955638 124.1871205 124.5786545 124.9701659 125.3616547
[319] 125.7531210 126.1445646 126.5359858 126.9273843 127.3187604 127.7101140
[325] 128.1014450 128.4927536 128.8840397 129.2753034 129.6665446 130.0577635
[331] 130.4489598 130.8401338 131.2312854 131.6224147 132.0135215 132.4046060
[337] 132.7956682 133.1867080 133.5777256 133.9687208 134.3596937 134.7506444
[343] 135.1415728 135.5324789 135.9233628 136.3142244 136.7050638 137.0958810
[349] 137.4866760 137.8774488 138.2681994 138.6589279 139.0496341 139.4403183
[355] 139.8309802 140.2216201 140.6122378 141.0028334 141.3934069 141.7839583
[361] 142.1744876 142.5649948 142.9554799 143.3459430 143.7363840 144.1268030
[367] 144.5171999 144.9075748 145.2979277 145.6882585 146.0785673 146.4688542
[373] 146.8591190 147.2493619 147.6395827 148.0297816 148.4199585 148.8101135
[379] 149.2002465 149.5903575 149.9804466 150.3705137 150.7605590 151.1505823
[385] 151.5405836 151.9305631 152.3205206 152.7104562 153.1003700 153.4902618
[391] 153.8801317 154.2699798 154.6598059 155.0496102 155.4393926 155.8291531
[397] 156.2188918 156.6086085 156.9983035 157.3879765 157.7776277 158.1672571
[403] 158.5568646 158.9464502 159.3360140 159.7255559 160.1150761 160.5045743
[409] 160.8940508 161.2835054 161.6729381 162.0623491 162.4517382 162.8411054
[415] 163.2304509 163.6197745 164.0090763 164.3983562 164.7876144 165.1768507
[421] 165.5660651 165.9552578 166.3444286 166.7335776 167.1227048 167.5118101
[427] 167.9008937 168.2899554 168.6789952 169.0680133 169.4570095 169.8459838
[433] 170.2349364 170.6238671 171.0127760 171.4016630 171.7905282 172.1793715
[439] 172.5681930 172.9569927 173.3457705 173.7345264 174.1232605 174.5119728
[445] 174.9006631 175.2893317 175.6779783 176.0666031 176.4552060 176.8437870
[451] 177.2323461 177.6208834 178.0093987 178.3978922 178.7863638 179.1748134
[457] 179.5632412 179.9516470 180.3400309 180.7283929 181.1167330 181.5050511
[463] 181.8933473 182.2816215 182.6698738 183.0581041 183.4463125 183.8344989
[469] 184.2226633 184.6108058 184.9989262 185.3870247 185.7751011 186.1631555
[475] 186.5511880 186.9391983 187.3271867 187.7151530 188.1030973 188.4910195
[481] 188.8789197 189.2667978 189.6546538 190.0424877 190.4302995 190.8180892
[487] 191.2058568 191.5936023 191.9813257 192.3690269 192.7567060 193.1443629
[493] 193.5319976 193.9196101 194.3072005 194.6947687 195.0823146 195.4698384
[499] 195.8573399 196.2448192 196.6322762 197.0197110 197.4071235 197.7945137
[505] 198.1818816 198.5692272 198.9565505 199.3438515 199.7311301 200.1183864
[511] 200.5056203 200.8928319 201.2800211 201.6671878 202.0543322 202.4414541
[517] 202.8285536 203.2156307 203.6026853 203.9897174 204.3767271 204.7637142
[523] 205.1506788 205.5376209 205.9245405 206.3114375 206.6983119 207.0851638
[529] 207.4719931 207.8587997 208.2455838 208.6323451 209.0190839 209.4058000
[535] 209.7924934 210.1791641 210.5658121 210.9524373 211.3390399 211.7256196
[541] 212.1121766 212.4987109 212.8852223 213.2717109 213.6581766 214.0446195
[547] 214.4310396 214.8174367 215.2038110 215.5901623 215.9764907 216.3627962
[553] 216.7490787 217.1353382 217.5215748 217.9077883 218.2939787 218.6801462
[559] 219.0662905 219.4524118 219.8385099 220.2245850 220.6106369 220.9966657
[565] 221.3826712 221.7686536 222.1546128 222.5405487 222.9264614 223.3123509
[571] 223.6982170 224.0840598 224.4698794 224.8556755 225.2414483 225.6271978
[577] 226.0129238 226.3986264 226.7843056 227.1699613 227.5555936 227.9412023
[583] 228.3267875 228.7123492 229.0978873 229.4834019 229.8688928 230.2543602
[589] 230.6398039 231.0252239 231.4106202 231.7959929 232.1813418 232.5666670
[595] 232.9519684 233.3372460 233.7224998 234.1077298 234.4929360 234.8781182
[601] 235.2632766 235.6484111 236.0335216 236.4186081 236.8036707 237.1887093
[607] 237.5737238 237.9587143 238.3436807 238.7286230 239.1135412 239.4984353
[613] 239.8833052 240.2681509 240.6529724 241.0377697 241.4225427 241.8072915
[619] 242.1920159 242.5767160 242.9613918 243.3460432 243.7306701 244.1152727
[625] 244.4998508 244.8844045 245.2689336 245.6534383 246.0379184 246.4223739
[631] 246.8068049 247.1912112 247.5755929 247.9599499 248.3442822 248.7285899
[637] 249.1128727 249.4971309 249.8813642 250.2655727 250.6497564 251.0339152
[643] 251.4180491 251.8021581 252.1862421 252.5703012 252.9543353 253.3383443
[649] 253.7223284 254.1062873 254.4902211 254.8741299 255.2580134 255.6418718
[655] 256.0257050 256.4095130 256.7932957 257.1770531 257.5607852 257.9444919
[661] 258.3281733 258.7118293 259.0954599 259.4790650 259.8626447 260.2461989
[667] 260.6297275 261.0132306 261.3967081 261.7801599 262.1635862 262.5469868
[673] 262.9303616 263.3137108 263.6970342 264.0803318 264.4636036 264.8468496
[679] 265.2300697 265.6132640 265.9964323 266.3795746 266.7626910 267.1457814
[685] 267.5288457 267.9118840 268.2948961 268.6778822 269.0608421 269.4437758
[691] 269.8266833 270.2095646 270.5924196 270.9752483 271.3580507 271.7408267
[697] 272.1235763 272.5062996 272.8889963 273.2716666 273.6543104 274.0369277
[703] 274.4195184 274.8020825 275.1846200 275.5671308 275.9496149 276.3320723
[709] 276.7145030 277.0969069 277.4792840 277.8616342 278.2439576 278.6262541
[715] 279.0085236 279.3907662 279.7729818 280.1551704 280.5373319 280.9194664
[721] 281.3015737 281.6836539 282.0657069 282.4477327 282.8297312 283.2117025
[727] 283.5936465 283.9755631 284.3574524 284.7393143 285.1211487 285.5029557
[733] 285.8847352 286.2664871 286.6482115 287.0299084 287.4115775 287.7932191
[739] 288.1748329 288.5564191 288.9379775 289.3195081 289.7010109 290.0824858
[745] 290.4639329 290.8453520 291.2267432 291.6081065 291.9894417 292.3707489
[751] 292.7520280 293.1332789 293.5145018 293.8956965 294.2768629 294.6580012
[757] 295.0391111 295.4201928 295.8012461 296.1822710 296.5632675 296.9442356
[763] 297.3251752 297.7060863 298.0869689 298.4678229 298.8486483 299.2294450
[769] 299.6102131 299.9909524 300.3716631 300.7523449 301.1329979 301.5136221
[775] 301.8942174 302.2747838 302.6553213 303.0358297 303.4163092 303.7967596
[781] 304.1771809 304.5575731 304.9379362 305.3182700 305.6985747 306.0788501
[787] 306.4590962 306.8393129 307.2195003 307.5996584 307.9797870 308.3598861
[793] 308.7399557 309.1199958 309.5000063 309.8799873 310.2599385 310.6398602
[799] 311.0197521 311.3996142 311.7794466 312.1592492 312.5390219 312.9187648
[805] 313.2984777 313.6781606 314.0578136 314.4374366 314.8170295 314.9385063
$y
[1] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[38] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[75] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[112] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[149] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[186] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[223] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[260] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[297] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[334] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[371] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[408] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[445] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[482] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[519] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[556] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[593] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[630] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[667] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[704] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[741] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[778] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
$z
[1] 0.0000000 0.3994935 0.7979742 1.1954421 1.5918975 1.9873403
[7] 2.3817708 2.7751890 3.1675952 3.5589894 3.9493717 4.3387423
[13] 4.7271013 5.1144488 5.5007850 5.8861099 6.2704237 6.6537266
[19] 7.0360186 7.4172998 7.7975705 8.1768306 8.5550804 8.9323199
[25] 9.3085493 9.6837687 10.0579783 10.4311780 10.8033681 11.1745487
[31] 11.5447199 11.9138818 12.2820345 12.6491782 13.0153130 13.3804390
[37] 13.7445562 14.1076649 14.4697651 14.8308570 15.1909407 15.5500163
[43] 15.9080838 16.2651435 16.6211955 16.9762398 17.3302766 17.6833059
[49] 18.0353280 18.3863428 18.7363506 19.0853515 19.4333455 19.7803328
[55] 20.1263134 20.4712876 20.8152553 21.1582168 21.5001721 21.8411214
[61] 22.1810647 22.5200021 22.8579339 23.1948600 23.5307806 23.8656958
[67] 24.1996058 24.5325106 24.8644103 25.1953050 25.5251949 25.8540800
[73] 26.1819606 26.5088365 26.8347081 27.1595754 27.4834384 27.8062974
[79] 28.1281523 28.4490034 28.7688507 29.0876943 29.4055344 29.7223710
[85] 30.0382042 30.3530342 30.6668610 30.9796848 31.2915056 31.6023236
[91] 31.9121388 32.2209514 32.5287615 32.8355691 33.1413745 33.4461776
[97] 33.7499785 34.0527775 34.3545745 34.6553697 34.9551632 35.2539550
[103] 35.5517454 35.8485343 36.1443219 36.4391082 36.7328935 37.0256777
[109] 37.3174610 37.6082435 37.8980252 38.1868063 38.4745869 38.7613670
[115] 39.0471468 39.3319263 39.6157057 39.8984851 40.1802644 40.4610440
[121] 40.7408237 41.0196038 41.2973843 41.5741654 41.8499470 42.1247294
[127] 42.3985125 42.6712966 42.9430817 43.2138678 43.4836551 43.7524437
[133] 44.0202336 44.2870250 44.5528179 44.8176125 45.0814088 45.3442069
[139] 45.6060070 45.8668090 46.1266131 46.3854194 46.6432280 46.9000390
[145] 47.1558524 47.4106683 47.6644869 47.9173082 48.1691323 48.4199593
[151] 48.6697893 48.9186224 49.1664586 49.4132981 49.6591409 49.9039871
[157] 50.1478369 50.3906902 50.6325473 50.8734081 51.1132727 51.3521413
[163] 51.5900140 51.8268907 52.0627716 52.2976569 52.5315465 52.7644405
[169] 52.9963391 53.2272423 53.4571502 53.6860629 53.9139805 54.1409030
[175] 54.3668306 54.5917633 54.8157011 55.0386443 55.2605928 55.4815468
[181] 55.7015064 55.9204715 56.1384423 56.3554189 56.5714014 56.7863898
[187] 57.0003842 57.2133847 57.4253913 57.6364043 57.8464236 58.0554492
[193] 58.2634814 58.4705202 58.6765656 58.8816177 59.0856767 59.2887425
[199] 59.4908153 59.6918952 59.8919821 60.0910763 60.2891777 60.4862865
[205] 60.6824028 60.8775265 61.0716578 61.2647968 61.4569435 61.6480980
[211] 61.8382604 62.0274307 62.2156091 62.4027956 62.5889903 62.7741933
[217] 62.9584046 63.1416243 63.3238524 63.5050892 63.6853346 63.8645886
[223] 64.0428515 64.2201232 64.3964038 64.5716935 64.7459922 64.9193000
[229] 65.0916171 65.2629434 65.4332791 65.6026242 65.7709789 65.9383431
[235] 66.1047169 66.2701005 66.4344939 66.5978971 66.7603102 66.9217334
[241] 67.0821666 67.2416099 67.4000635 67.5575273 67.7140015 67.8694861
[247] 68.0239812 68.1774868 68.3300031 68.4815301 68.6320678 68.7816163
[253] 68.9301758 69.0777462 69.2243277 69.3699202 69.5145239 69.6581389
[259] 69.8007652 69.9424028 70.0830519 70.2227125 70.3613846 70.4990684
[265] 70.6357639 70.7714712 70.9061903 71.0399213 71.1726643 71.3044194
[271] 71.4351865 71.5649658 71.6937573 71.8215611 71.9483773 72.0742059
[277] 72.1990470 72.3229006 72.4457669 72.5676459 72.6885376 72.8084421
[283] 72.9273595 73.0452898 73.1622332 73.2781896 73.3931591 73.5071418
[289] 73.6201378 73.7321471 73.8431698 73.9532059 74.0622556 74.1703188
[295] 74.2773956 74.3834862 74.4885905 74.5927086 74.6958406 74.7979865
[301] 74.8991465 74.9993205 75.0985086 75.1967109 75.2939275 75.3901584
[307] 75.4854037 75.5796634 75.6729375 75.7652263 75.8565296 75.9468477
[313] 76.0361804 76.1245280 76.2118904 76.2982677 76.3836600 76.4680674
[319] 76.5514898 76.6339274 76.7153802 76.7958483 76.8753317 76.9538305
[325] 77.0313447 77.1078745 77.1834198 77.2579808 77.3315574 77.4041498
[331] 77.4757580 77.5463820 77.6160220 77.6846780 77.7523500 77.8190380
[337] 77.8847423 77.9494627 78.0131994 78.0759525 78.1377219 78.1985078
[343] 78.2583102 78.3171291 78.3749646 78.4318169 78.4876858 78.5425715
[349] 78.5964741 78.6493936 78.7013300 78.7522835 78.8022540 78.8512417
[355] 78.8992465 78.9462686 78.9923080 79.0373647 79.0814388 79.1245305
[361] 79.1666396 79.2077663 79.2479107 79.2870727 79.3252525 79.3624502
[367] 79.3986656 79.4338990 79.4681504 79.5014198 79.5337073 79.5650129
[373] 79.5953367 79.6246788 79.6530392 79.6804179 79.7068151 79.7322308
[379] 79.7566649 79.7801177 79.8025891 79.8240792 79.8445881 79.8641158
[385] 79.8826623 79.9002278 79.9168122 79.9324157 79.9470382 79.9606799
[391] 79.9733408 79.9850209 79.9957204 80.0054392 80.0141774 80.0219351
[397] 80.0287123 80.0345091 80.0393256 80.0431617 80.0460176 80.0478933
[403] 80.0487888 80.0487043 80.0476397 80.0455951 80.0425706 80.0385663
[409] 80.0335821 80.0276182 80.0206746 80.0127513 80.0038484 79.9939660
[415] 79.9831042 79.9712628 79.9584421 79.9446421 79.9298629 79.9141044
[421] 79.8973667 79.8796500 79.8609542 79.8412795 79.8206258 79.7989932
[427] 79.7763818 79.7527916 79.7282227 79.7026752 79.6761490 79.6486443
[433] 79.6201611 79.5906995 79.5602595 79.5288411 79.4964445 79.4630697
[439] 79.4287167 79.3933856 79.3570764 79.3197893 79.2815242 79.2422812
[445] 79.2020604 79.1608618 79.1186855 79.0755315 79.0313999 78.9862908
[451] 78.9402042 78.8931401 78.8450986 78.7960799 78.7460838 78.6951105
[457] 78.6431601 78.5902325 78.5363279 78.4814463 78.4255878 78.3687524
[463] 78.3109401 78.2521511 78.1923854 78.1316430 78.0699240 78.0072285
[469] 77.9435565 77.8789081 77.8132832 77.7466821 77.6791047 77.6105511
[475] 77.5410213 77.4705155 77.3990336 77.3265757 77.2531420 77.1787323
[481] 77.1033469 77.0269857 76.9496488 76.8713363 76.7920482 76.7117846
[487] 76.6305455 76.5483311 76.4651412 76.3809761 76.2958358 76.2097203
[493] 76.1226297 76.0345640 75.9455233 75.8555077 75.7645172 75.6725519
[499] 75.5796119 75.4856971 75.3908077 75.2949437 75.1981052 75.1002922
[505] 75.0015048 74.9017430 74.8010070 74.6992967 74.5966122 74.4929537
[511] 74.3883211 74.2827145 74.1761339 74.0685795 73.9600513 73.8505494
[517] 73.7400737 73.6286244 73.5162015 73.4028052 73.2884354 73.1730922
[523] 73.0567756 72.9394858 72.8212228 72.7019867 72.5817774 72.4605952
[529] 72.3384400 72.2153119 72.0912109 71.9661372 71.8400908 71.7130717
[535] 71.5850800 71.4561158 71.3261792 71.1952701 71.0633887 70.9305351
[541] 70.7967092 70.6619112 70.5261411 70.3893989 70.2516848 70.1129989
[547] 69.9733410 69.8327115 69.6911102 69.5485373 69.4049928 69.2604768
[553] 69.1149893 68.9685305 68.8211003 68.6726989 68.5233263 68.3729826
[559] 68.2216679 68.0693821 67.9161254 67.7618979 67.6066995 67.4505305
[565] 67.2933908 67.1352804 66.9761996 66.8161483 66.6551266 66.4931346
[571] 66.3301723 66.1662398 66.0013372 65.8354645 65.6686218 65.5008092
[577] 65.3320268 65.1622745 64.9915526 64.8198610 64.6471998 64.4735690
[583] 64.2989689 64.1233994 63.9468605 63.7693524 63.5908752 63.4114288
[589] 63.2310134 63.0496291 62.8672758 62.6839538 62.4996630 62.3144035
[595] 62.1281754 61.9409787 61.7528136 61.5636801 61.3735783 61.1825082
[601] 60.9904699 60.7974635 60.6034891 60.4085467 60.2126364 60.0157583
[607] 59.8179124 59.6190989 59.4193178 59.2185691 59.0168530 58.8141694
[613] 58.6105186 58.4059005 58.2003153 57.9937630 57.7862436 57.5777574
[619] 57.3683042 57.1578843 56.9464976 56.7341443 56.5208245 56.3065381
[625] 56.0912853 55.8750662 55.6578808 55.4397293 55.2206116 55.0005279
[631] 54.7794782 54.5574627 54.3344813 54.1105342 53.8856215 53.6597432
[637] 53.4328994 53.2050902 52.9763156 52.7465758 52.5158708 52.2842007
[643] 52.0515656 51.8179655 51.5834006 51.3478708 51.1113764 50.8739174
[649] 50.6354937 50.3961057 50.1557532 49.9144365 49.6721555 49.4289103
[655] 49.1847011 48.9395280 48.6933909 48.4462900 48.1982253 47.9491971
[661] 47.6992052 47.4482498 47.1963311 46.9434490 46.6896037 46.4347952
[667] 46.1790236 45.9222891 45.6645916 45.4059313 45.1463083 44.8857226
[673] 44.6241744 44.3616636 44.0981905 43.8337550 43.5683573 43.3019975
[679] 43.0346756 42.7663918 42.4971460 42.2269385 41.9557692 41.6836383
[685] 41.4105459 41.1364920 40.8614768 40.5855002 40.3085625 40.0306637
[691] 39.7518039 39.4719831 39.1912015 38.9094592 38.6267562 38.3430926
[697] 38.0584686 37.7728841 37.4863394 37.1988344 36.9103694 36.6209443
[703] 36.3305592 36.0392143 35.7469097 35.4536454 35.1594215 34.8642381
[709] 34.5680954 34.2709933 33.9729320 33.6739116 33.3739322 33.0729939
[715] 32.7710967 32.4682408 32.1644263 31.8596532 31.5539216 31.2472316
[721] 30.9395834 30.6309770 30.3214126 30.0108901 29.6994098 29.3869716
[727] 29.0735758 28.7592223 28.4439114 28.1276430 27.8104173 27.4922344
[733] 27.1730944 26.8529973 26.5319434 26.2099326 25.8869650 25.5630409
[739] 25.2381602 24.9123230 24.5855295 24.2577798 23.9290740 23.5994121
[745] 23.2687942 22.9372206 22.6046912 22.2712061 21.9367655 21.6013695
[751] 21.2650181 20.9277115 20.5894498 20.2502330 19.9100613 19.5689347
[757] 19.2268535 18.8838176 18.5398272 18.1948823 17.8489832 17.5021298
[763] 17.1543224 16.8055609 16.4558455 16.1051763 15.7535535 15.4009770
[769] 15.0474471 14.6929638 14.3375272 13.9811375 13.6237946 13.2654989
[775] 12.9062503 12.5460489 12.1848949 11.8227884 11.4597295 11.0957182
[781] 10.7307548 10.3648392 9.9979717 9.6301522 9.2613811 8.8916582
[787] 8.5209838 8.1493579 7.7767807 7.4032523 7.0287728 6.6533422
[793] 6.2769608 5.8996285 5.5213456 5.1421122 4.7619283 4.3807940
[799] 3.9987095 3.6156749 3.2316903 2.8467558 2.4608715 2.0740376
[805] 1.6862541 1.2975211 0.9078389 0.5172074 0.1256268 0.0000000
$t
[1] 0.0000 0.0100 0.0200 0.0300 0.0400 0.0500 0.0600 0.0700 0.0800 0.0900
[11] 0.1000 0.1100 0.1200 0.1300 0.1400 0.1500 0.1600 0.1700 0.1800 0.1900
[21] 0.2000 0.2100 0.2200 0.2300 0.2400 0.2500 0.2600 0.2700 0.2800 0.2900
[31] 0.3000 0.3100 0.3200 0.3300 0.3400 0.3500 0.3600 0.3700 0.3800 0.3900
[41] 0.4000 0.4100 0.4200 0.4300 0.4400 0.4500 0.4600 0.4700 0.4800 0.4900
[51] 0.5000 0.5100 0.5200 0.5300 0.5400 0.5500 0.5600 0.5700 0.5800 0.5900
[61] 0.6000 0.6100 0.6200 0.6300 0.6400 0.6500 0.6600 0.6700 0.6800 0.6900
[71] 0.7000 0.7100 0.7200 0.7300 0.7400 0.7500 0.7600 0.7700 0.7800 0.7900
[81] 0.8000 0.8100 0.8200 0.8300 0.8400 0.8500 0.8600 0.8700 0.8800 0.8900
[91] 0.9000 0.9100 0.9200 0.9300 0.9400 0.9500 0.9600 0.9700 0.9800 0.9900
[101] 1.0000 1.0100 1.0200 1.0300 1.0400 1.0500 1.0600 1.0700 1.0800 1.0900
[111] 1.1000 1.1100 1.1200 1.1300 1.1400 1.1500 1.1600 1.1700 1.1800 1.1900
[121] 1.2000 1.2100 1.2200 1.2300 1.2400 1.2500 1.2600 1.2700 1.2800 1.2900
[131] 1.3000 1.3100 1.3200 1.3300 1.3400 1.3500 1.3600 1.3700 1.3800 1.3900
[141] 1.4000 1.4100 1.4200 1.4300 1.4400 1.4500 1.4600 1.4700 1.4800 1.4900
[151] 1.5000 1.5100 1.5200 1.5300 1.5400 1.5500 1.5600 1.5700 1.5800 1.5900
[161] 1.6000 1.6100 1.6200 1.6300 1.6400 1.6500 1.6600 1.6700 1.6800 1.6900
[171] 1.7000 1.7100 1.7200 1.7300 1.7400 1.7500 1.7600 1.7700 1.7800 1.7900
[181] 1.8000 1.8100 1.8200 1.8300 1.8400 1.8500 1.8600 1.8700 1.8800 1.8900
[191] 1.9000 1.9100 1.9200 1.9300 1.9400 1.9500 1.9600 1.9700 1.9800 1.9900
[201] 2.0000 2.0100 2.0200 2.0300 2.0400 2.0500 2.0600 2.0700 2.0800 2.0900
[211] 2.1000 2.1100 2.1200 2.1300 2.1400 2.1500 2.1600 2.1700 2.1800 2.1900
[221] 2.2000 2.2100 2.2200 2.2300 2.2400 2.2500 2.2600 2.2700 2.2800 2.2900
[231] 2.3000 2.3100 2.3200 2.3300 2.3400 2.3500 2.3600 2.3700 2.3800 2.3900
[241] 2.4000 2.4100 2.4200 2.4300 2.4400 2.4500 2.4600 2.4700 2.4800 2.4900
[251] 2.5000 2.5100 2.5200 2.5300 2.5400 2.5500 2.5600 2.5700 2.5800 2.5900
[261] 2.6000 2.6100 2.6200 2.6300 2.6400 2.6500 2.6600 2.6700 2.6800 2.6900
[271] 2.7000 2.7100 2.7200 2.7300 2.7400 2.7500 2.7600 2.7700 2.7800 2.7900
[281] 2.8000 2.8100 2.8200 2.8300 2.8400 2.8500 2.8600 2.8700 2.8800 2.8900
[291] 2.9000 2.9100 2.9200 2.9300 2.9400 2.9500 2.9600 2.9700 2.9800 2.9900
[301] 3.0000 3.0100 3.0200 3.0300 3.0400 3.0500 3.0600 3.0700 3.0800 3.0900
[311] 3.1000 3.1100 3.1200 3.1300 3.1400 3.1500 3.1600 3.1700 3.1800 3.1900
[321] 3.2000 3.2100 3.2200 3.2300 3.2400 3.2500 3.2600 3.2700 3.2800 3.2900
[331] 3.3000 3.3100 3.3200 3.3300 3.3400 3.3500 3.3600 3.3700 3.3800 3.3900
[341] 3.4000 3.4100 3.4200 3.4300 3.4400 3.4500 3.4600 3.4700 3.4800 3.4900
[351] 3.5000 3.5100 3.5200 3.5300 3.5400 3.5500 3.5600 3.5700 3.5800 3.5900
[361] 3.6000 3.6100 3.6200 3.6300 3.6400 3.6500 3.6600 3.6700 3.6800 3.6900
[371] 3.7000 3.7100 3.7200 3.7300 3.7400 3.7500 3.7600 3.7700 3.7800 3.7900
[381] 3.8000 3.8100 3.8200 3.8300 3.8400 3.8500 3.8600 3.8700 3.8800 3.8900
[391] 3.9000 3.9100 3.9200 3.9300 3.9400 3.9500 3.9600 3.9700 3.9800 3.9900
[401] 4.0000 4.0100 4.0200 4.0300 4.0400 4.0500 4.0600 4.0700 4.0800 4.0900
[411] 4.1000 4.1100 4.1200 4.1300 4.1400 4.1500 4.1600 4.1700 4.1800 4.1900
[421] 4.2000 4.2100 4.2200 4.2300 4.2400 4.2500 4.2600 4.2700 4.2800 4.2900
[431] 4.3000 4.3100 4.3200 4.3300 4.3400 4.3500 4.3600 4.3700 4.3800 4.3900
[441] 4.4000 4.4100 4.4200 4.4300 4.4400 4.4500 4.4600 4.4700 4.4800 4.4900
[451] 4.5000 4.5100 4.5200 4.5300 4.5400 4.5500 4.5600 4.5700 4.5800 4.5900
[461] 4.6000 4.6100 4.6200 4.6300 4.6400 4.6500 4.6600 4.6700 4.6800 4.6900
[471] 4.7000 4.7100 4.7200 4.7300 4.7400 4.7500 4.7600 4.7700 4.7800 4.7900
[481] 4.8000 4.8100 4.8200 4.8300 4.8400 4.8500 4.8600 4.8700 4.8800 4.8900
[491] 4.9000 4.9100 4.9200 4.9300 4.9400 4.9500 4.9600 4.9700 4.9800 4.9900
[501] 5.0000 5.0100 5.0200 5.0300 5.0400 5.0500 5.0600 5.0700 5.0800 5.0900
[511] 5.1000 5.1100 5.1200 5.1300 5.1400 5.1500 5.1600 5.1700 5.1800 5.1900
[521] 5.2000 5.2100 5.2200 5.2300 5.2400 5.2500 5.2600 5.2700 5.2800 5.2900
[531] 5.3000 5.3100 5.3200 5.3300 5.3400 5.3500 5.3600 5.3700 5.3800 5.3900
[541] 5.4000 5.4100 5.4200 5.4300 5.4400 5.4500 5.4600 5.4700 5.4800 5.4900
[551] 5.5000 5.5100 5.5200 5.5300 5.5400 5.5500 5.5600 5.5700 5.5800 5.5900
[561] 5.6000 5.6100 5.6200 5.6300 5.6400 5.6500 5.6600 5.6700 5.6800 5.6900
[571] 5.7000 5.7100 5.7200 5.7300 5.7400 5.7500 5.7600 5.7700 5.7800 5.7900
[581] 5.8000 5.8100 5.8200 5.8300 5.8400 5.8500 5.8600 5.8700 5.8800 5.8900
[591] 5.9000 5.9100 5.9200 5.9300 5.9400 5.9500 5.9600 5.9700 5.9800 5.9900
[601] 6.0000 6.0100 6.0200 6.0300 6.0400 6.0500 6.0600 6.0700 6.0800 6.0900
[611] 6.1000 6.1100 6.1200 6.1300 6.1400 6.1500 6.1600 6.1700 6.1800 6.1900
[621] 6.2000 6.2100 6.2200 6.2300 6.2400 6.2500 6.2600 6.2700 6.2800 6.2900
[631] 6.3000 6.3100 6.3200 6.3300 6.3400 6.3500 6.3600 6.3700 6.3800 6.3900
[641] 6.4000 6.4100 6.4200 6.4300 6.4400 6.4500 6.4600 6.4700 6.4800 6.4900
[651] 6.5000 6.5100 6.5200 6.5300 6.5400 6.5500 6.5600 6.5700 6.5800 6.5900
[661] 6.6000 6.6100 6.6200 6.6300 6.6400 6.6500 6.6600 6.6700 6.6800 6.6900
[671] 6.7000 6.7100 6.7200 6.7300 6.7400 6.7500 6.7600 6.7700 6.7800 6.7900
[681] 6.8000 6.8100 6.8200 6.8300 6.8400 6.8500 6.8600 6.8700 6.8800 6.8900
[691] 6.9000 6.9100 6.9200 6.9300 6.9400 6.9500 6.9600 6.9700 6.9800 6.9900
[701] 7.0000 7.0100 7.0200 7.0300 7.0400 7.0500 7.0600 7.0700 7.0800 7.0900
[711] 7.1000 7.1100 7.1200 7.1300 7.1400 7.1500 7.1600 7.1700 7.1800 7.1900
[721] 7.2000 7.2100 7.2200 7.2300 7.2400 7.2500 7.2600 7.2700 7.2800 7.2900
[731] 7.3000 7.3100 7.3200 7.3300 7.3400 7.3500 7.3600 7.3700 7.3800 7.3900
[741] 7.4000 7.4100 7.4200 7.4300 7.4400 7.4500 7.4600 7.4700 7.4800 7.4900
[751] 7.5000 7.5100 7.5200 7.5300 7.5400 7.5500 7.5600 7.5700 7.5800 7.5900
[761] 7.6000 7.6100 7.6200 7.6300 7.6400 7.6500 7.6600 7.6700 7.6800 7.6900
[771] 7.7000 7.7100 7.7200 7.7300 7.7400 7.7500 7.7600 7.7700 7.7800 7.7900
[781] 7.8000 7.8100 7.8200 7.8300 7.8400 7.8500 7.8600 7.8700 7.8800 7.8900
[791] 7.9000 7.9100 7.9200 7.9300 7.9400 7.9500 7.9600 7.9700 7.9800 7.9900
[801] 8.0000 8.0100 8.0200 8.0300 8.0400 8.0500 8.0600 8.0700 8.0800 8.0832
$xf
[1] 314.9385
$yf
[1] 0
$zf
[1] 0
$tf
[1] 8.0832
$vx
[1] 40.00000 39.99671 39.99343 39.99014 39.98687 39.98360 39.98033 39.97707
[9] 39.97381 39.97056 39.96731 39.96407 39.96083 39.95760 39.95437 39.95115
[17] 39.94793 39.94471 39.94150 39.93830 39.93510 39.93190 39.92871 39.92552
[25] 39.92234 39.91916 39.91598 39.91282 39.90965 39.90649 39.90334 39.90018
[33] 39.89704 39.89390 39.89076 39.88762 39.88450 39.88137 39.87825 39.87514
[41] 39.87203 39.86892 39.86582 39.86272 39.85963 39.85654 39.85345 39.85037
[49] 39.84730 39.84423 39.84116 39.83810 39.83504 39.83198 39.82893 39.82589
[57] 39.82285 39.81981 39.81678 39.81375 39.81073 39.80771 39.80469 39.80168
[65] 39.79867 39.79567 39.79267 39.78968 39.78669 39.78370 39.78072 39.77774
[73] 39.77477 39.77180 39.76883 39.76587 39.76292 39.75996 39.75701 39.75407
[81] 39.75113 39.74819 39.74526 39.74233 39.73941 39.73649 39.73357 39.73066
[89] 39.72775 39.72485 39.72195 39.71905 39.71616 39.71327 39.71039 39.70751
[97] 39.70463 39.70176 39.69889 39.69603 39.69317 39.69031 39.68746 39.68461
[105] 39.68177 39.67893 39.67609 39.67326 39.67043 39.66760 39.66478 39.66196
[113] 39.65915 39.65634 39.65353 39.65073 39.64793 39.64514 39.64235 39.63956
[121] 39.63677 39.63399 39.63122 39.62845 39.62568 39.62291 39.62015 39.61739
[129] 39.61464 39.61189 39.60914 39.60640 39.60366 39.60092 39.59819 39.59546
[137] 39.59274 39.59001 39.58730 39.58458 39.58187 39.57916 39.57646 39.57376
[145] 39.57106 39.56837 39.56568 39.56299 39.56031 39.55763 39.55495 39.55228
[153] 39.54961 39.54695 39.54428 39.54163 39.53897 39.53632 39.53367 39.53102
[161] 39.52838 39.52574 39.52311 39.52047 39.51785 39.51522 39.51260 39.50998
[169] 39.50736 39.50475 39.50214 39.49954 39.49693 39.49433 39.49174 39.48914
[177] 39.48655 39.48397 39.48138 39.47880 39.47623 39.47365 39.47108 39.46851
[185] 39.46595 39.46339 39.46083 39.45827 39.45572 39.45317 39.45062 39.44808
[193] 39.44554 39.44300 39.44047 39.43793 39.43541 39.43288 39.43036 39.42784
[201] 39.42532 39.42281 39.42029 39.41779 39.41528 39.41278 39.41028 39.40778
[209] 39.40529 39.40280 39.40031 39.39782 39.39534 39.39286 39.39038 39.38791
[217] 39.38544 39.38297 39.38050 39.37804 39.37558 39.37312 39.37066 39.36821
[225] 39.36576 39.36331 39.36087 39.35843 39.35599 39.35355 39.35111 39.34868
[233] 39.34625 39.34382 39.34140 39.33898 39.33656 39.33414 39.33173 39.32932
[241] 39.32691 39.32450 39.32209 39.31969 39.31729 39.31489 39.31250 39.31011
[249] 39.30772 39.30533 39.30294 39.30056 39.29818 39.29580 39.29342 39.29105
[257] 39.28868 39.28631 39.28394 39.28157 39.27921 39.27685 39.27449 39.27214
[265] 39.26978 39.26743 39.26508 39.26273 39.26039 39.25804 39.25570 39.25336
[273] 39.25102 39.24869 39.24635 39.24402 39.24169 39.23937 39.23704 39.23472
[281] 39.23239 39.23008 39.22776 39.22544 39.22313 39.22082 39.21851 39.21620
[289] 39.21389 39.21159 39.20928 39.20698 39.20468 39.20239 39.20009 39.19780
[297] 39.19551 39.19322 39.19093 39.18864 39.18635 39.18407 39.18179 39.17951
[305] 39.17723 39.17495 39.17268 39.17040 39.16813 39.16586 39.16359 39.16133
[313] 39.15906 39.15679 39.15453 39.15227 39.15001 39.14775 39.14550 39.14324
[321] 39.14099 39.13873 39.13648 39.13423 39.13198 39.12974 39.12749 39.12524
[329] 39.12300 39.12076 39.11852 39.11628 39.11404 39.11180 39.10957 39.10733
[337] 39.10510 39.10287 39.10064 39.09841 39.09618 39.09395 39.09173 39.08950
[345] 39.08728 39.08505 39.08283 39.08061 39.07839 39.07617 39.07395 39.07174
[353] 39.06952 39.06730 39.06509 39.06288 39.06067 39.05845 39.05624 39.05403
[361] 39.05183 39.04962 39.04741 39.04520 39.04300 39.04079 39.03859 39.03639
[369] 39.03419 39.03198 39.02978 39.02758 39.02538 39.02319 39.02099 39.01879
[377] 39.01659 39.01440 39.01220 39.01001 39.00781 39.00562 39.00343 39.00123
[385] 38.99904 38.99685 38.99466 38.99247 38.99028 38.98809 38.98590 38.98371
[393] 38.98152 38.97933 38.97715 38.97496 38.97277 38.97058 38.96840 38.96621
[401] 38.96403 38.96184 38.95966 38.95747 38.95529 38.95310 38.95092 38.94874
[409] 38.94655 38.94437 38.94218 38.94000 38.93782 38.93564 38.93345 38.93127
[417] 38.92909 38.92690 38.92472 38.92254 38.92036 38.91817 38.91599 38.91381
[425] 38.91163 38.90944 38.90726 38.90508 38.90290 38.90071 38.89853 38.89635
[433] 38.89416 38.89198 38.88979 38.88761 38.88543 38.88324 38.88106 38.87887
[441] 38.87669 38.87450 38.87232 38.87013 38.86794 38.86576 38.86357 38.86138
[449] 38.85920 38.85701 38.85482 38.85263 38.85044 38.84825 38.84606 38.84387
[457] 38.84168 38.83949 38.83730 38.83510 38.83291 38.83072 38.82852 38.82633
[465] 38.82413 38.82193 38.81974 38.81754 38.81534 38.81314 38.81095 38.80875
[473] 38.80654 38.80434 38.80214 38.79994 38.79773 38.79553 38.79333 38.79112
[481] 38.78891 38.78670 38.78450 38.78229 38.78008 38.77787 38.77565 38.77344
[489] 38.77123 38.76901 38.76680 38.76458 38.76236 38.76015 38.75793 38.75571
[497] 38.75349 38.75126 38.74904 38.74682 38.74459 38.74236 38.74014 38.73791
[505] 38.73568 38.73345 38.73121 38.72898 38.72675 38.72451 38.72227 38.72004
[513] 38.71780 38.71556 38.71332 38.71107 38.70883 38.70658 38.70434 38.70209
[521] 38.69984 38.69759 38.69534 38.69308 38.69083 38.68857 38.68632 38.68406
[529] 38.68180 38.67953 38.67727 38.67501 38.67274 38.67047 38.66821 38.66594
[537] 38.66366 38.66139 38.65912 38.65684 38.65456 38.65228 38.65000 38.64772
[545] 38.64543 38.64315 38.64086 38.63857 38.63628 38.63399 38.63169 38.62940
[553] 38.62710 38.62480 38.62250 38.62020 38.61790 38.61559 38.61328 38.61097
[561] 38.60866 38.60635 38.60403 38.60172 38.59940 38.59708 38.59476 38.59243
[569] 38.59011 38.58778 38.58545 38.58312 38.58079 38.57845 38.57611 38.57377
[577] 38.57143 38.56909 38.56675 38.56440 38.56205 38.55970 38.55735 38.55499
[585] 38.55263 38.55028 38.54791 38.54555 38.54319 38.54082 38.53845 38.53608
[593] 38.53371 38.53133 38.52895 38.52657 38.52419 38.52181 38.51942 38.51703
[601] 38.51464 38.51225 38.50985 38.50746 38.50506 38.50266 38.50025 38.49785
[609] 38.49544 38.49303 38.49061 38.48820 38.48578 38.48336 38.48094 38.47852
[617] 38.47609 38.47366 38.47123 38.46879 38.46636 38.46392 38.46148 38.45904
[625] 38.45659 38.45414 38.45169 38.44924 38.44678 38.44432 38.44186 38.43940
[633] 38.43694 38.43447 38.43200 38.42953 38.42705 38.42457 38.42209 38.41961
[641] 38.41712 38.41464 38.41215 38.40965 38.40716 38.40466 38.40216 38.39965
[649] 38.39715 38.39464 38.39213 38.38962 38.38710 38.38458 38.38206 38.37953
[657] 38.37701 38.37448 38.37194 38.36941 38.36687 38.36433 38.36179 38.35924
[665] 38.35669 38.35414 38.35159 38.34903 38.34647 38.34391 38.34134 38.33877
[673] 38.33620 38.33363 38.33105 38.32847 38.32589 38.32331 38.32072 38.31813
[681] 38.31553 38.31294 38.31034 38.30774 38.30513 38.30252 38.29991 38.29730
[689] 38.29468 38.29206 38.28944 38.28681 38.28419 38.28156 38.27892 38.27628
[697] 38.27364 38.27100 38.26835 38.26571 38.26305 38.26040 38.25774 38.25508
[705] 38.25242 38.24975 38.24708 38.24441 38.24173 38.23905 38.23637 38.23368
[713] 38.23099 38.22830 38.22561 38.22291 38.22021 38.21751 38.21480 38.21209
[721] 38.20938 38.20666 38.20394 38.20122 38.19849 38.19576 38.19303 38.19030
[729] 38.18756 38.18482 38.18207 38.17932 38.17657 38.17382 38.17106 38.16830
[737] 38.16554 38.16277 38.16000 38.15723 38.15445 38.15167 38.14889 38.14610
[745] 38.14331 38.14052 38.13772 38.13492 38.13212 38.12931 38.12651 38.12369
[753] 38.12088 38.11806 38.11524 38.11241 38.10958 38.10675 38.10391 38.10107
[761] 38.09823 38.09539 38.09254 38.08968 38.08683 38.08397 38.08111 38.07824
[769] 38.07537 38.07250 38.06962 38.06674 38.06386 38.06098 38.05809 38.05519
[777] 38.05230 38.04940 38.04649 38.04359 38.04068 38.03776 38.03485 38.03193
[785] 38.02900 38.02608 38.02314 38.02021 38.01727 38.01433 38.01139 38.00844
[793] 38.00549 38.00253 37.99957 37.99661 37.99365 37.99068 37.98770 37.98473
[801] 37.98175 37.97877 37.97578 37.97279 37.96980 37.96680 37.96380 37.96079
[809] 37.95778 37.95477
$vy
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$vz
[1] 40.00000000 39.89870714 39.79742705 39.69615971 39.59490509
[6] 39.49366316 39.39243389 39.29121724 39.19001320 39.08882172
[11] 38.98764278 38.88647635 38.78532240 38.68418089 38.58305181
[16] 38.48193512 38.38083079 38.27973878 38.17865908 38.07759166
[21] 37.97653647 37.87549350 37.77446271 37.67344408 37.57243757
[26] 37.47144316 37.37046081 37.26949050 37.16853221 37.06758589
[31] 36.96665152 36.86572907 36.76481852 36.66391983 36.56303298
[36] 36.46215793 36.36129467 36.26044315 36.15960335 36.05877524
[41] 35.95795880 35.85715399 35.75636079 35.65557917 35.55480909
[46] 35.45405054 35.35330348 35.25256789 35.15184373 35.05113099
[51] 34.95042962 34.84973960 34.74906091 34.64839352 34.54773740
[56] 34.44709251 34.34645884 34.24583636 34.14522503 34.04462483
[61] 33.94403573 33.84345771 33.74289074 33.64233479 33.54178982
[66] 33.44125583 33.34073277 33.24022062 33.13971935 33.03922894
[71] 32.93874935 32.83828057 32.73782257 32.63737531 32.53693877
[76] 32.43651292 32.33609774 32.23569320 32.13529927 32.03491593
[81] 31.93454315 31.83418090 31.73382916 31.63348789 31.53315708
[86] 31.43283670 31.33252672 31.23222711 31.13193785 31.03165891
[91] 30.93139026 30.83113188 30.73088375 30.63064583 30.53041811
[96] 30.43020055 30.32999312 30.22979581 30.12960859 30.02943143
[101] 29.92926431 29.82910719 29.72896006 29.62882289 29.52869565
[106] 29.42857832 29.32847088 29.22837329 29.12828553 29.02820758
[111] 28.92813941 28.82808099 28.72803231 28.62799334 28.52796404
[116] 28.42794440 28.32793439 28.22793399 28.12794317 28.02796191
[121] 27.92799018 27.82802796 27.72807522 27.62813194 27.52819810
[126] 27.42827366 27.32835861 27.22845292 27.12855657 27.02866953
[131] 26.92879178 26.82892329 26.72906404 26.62921401 26.52937318
[136] 26.42954151 26.32971898 26.22990558 26.13010128 26.03030605
[141] 25.93051987 25.83074271 25.73097456 25.63121539 25.53146518
[146] 25.43172390 25.33199153 25.23226804 25.13255342 25.03284764
[151] 24.93315068 24.83346252 24.73378312 24.63411248 24.53445056
[156] 24.43479734 24.33515281 24.23551693 24.13588969 24.03627106
[161] 23.93666103 23.83705956 23.73746664 23.63788224 23.53830634
[166] 23.43873893 23.33917997 23.23962945 23.14008734 23.04055363
[171] 22.94102828 22.84151128 22.74200261 22.64250225 22.54301017
[176] 22.44352635 22.34405077 22.24458342 22.14512426 22.04567327
[181] 21.94623045 21.84679575 21.74736918 21.64795069 21.54854028
[186] 21.44913791 21.34974358 21.25035726 21.15097893 21.05160856
[191] 20.95224614 20.85289165 20.75354507 20.65420638 20.55487555
[196] 20.45555256 20.35623741 20.25693006 20.15763049 20.05833870
[201] 19.95905465 19.85977832 19.76050971 19.66124878 19.56199552
[206] 19.46274990 19.36351192 19.26428155 19.16505877 19.06584356
[211] 18.96663590 18.86743577 18.76824316 18.66905805 18.56988041
[216] 18.47071023 18.37154749 18.27239217 18.17324425 18.07410371
[221] 17.97497054 17.87584472 17.77672623 17.67761504 17.57851115
[226] 17.47941454 17.38032518 17.28124305 17.18216815 17.08310046
[231] 16.98403994 16.88498660 16.78594041 16.68690135 16.58786940
[236] 16.48884456 16.38982679 16.29081609 16.19181244 16.09281582
[241] 15.99382621 15.89484359 15.79586796 15.69689929 15.59793757
[246] 15.49898278 15.40003490 15.30109392 15.20215982 15.10323259
[251] 15.00431221 14.90539866 14.80649193 14.70759200 14.60869885
[256] 14.50981248 14.41093286 14.31205998 14.21319382 14.11433438
[261] 14.01548162 13.91663555 13.81779614 13.71896337 13.62013724
[266] 13.52131773 13.42250483 13.32369851 13.22489877 13.12610558
[271] 13.02731895 12.92853884 12.82976526 12.73099818 12.63223758
[276] 12.53348346 12.43473581 12.33599460 12.23725983 12.13853147
[281] 12.03980953 11.94109398 11.84238481 11.74368200 11.64498555
[286] 11.54629545 11.44761167 11.34893420 11.25026304 11.15159817
[291] 11.05293958 10.95428725 10.85564117 10.75700134 10.65836773
[296] 10.55974034 10.46111916 10.36250416 10.26389535 10.16529270
[301] 10.06669621 9.96810587 9.86952166 9.77094358 9.67237160
[306] 9.57380573 9.47524594 9.37669223 9.27814459 9.17960301
[311] 9.08106747 8.98253797 8.88401449 8.78549703 8.68698557
[316] 8.58848011 8.48998063 8.39148712 8.29299957 8.19451799
[321] 8.09604234 7.99757263 7.89910884 7.80065098 7.70219901
[326] 7.60375295 7.50531277 7.40687847 7.30845004 7.21002748
[331] 7.11161077 7.01319990 6.91479486 6.81639566 6.71800227
[336] 6.61961469 6.52123292 6.42285694 6.32448674 6.22612233
[341] 6.12776369 6.02941081 5.93106369 5.83272231 5.73438668
[346] 5.63605678 5.53773261 5.43941415 5.34110142 5.24279438
[351] 5.14449305 5.04619741 4.94790746 4.84962319 4.75134459
[356] 4.65307166 4.55480439 4.45654278 4.35828682 4.26003650
[361] 4.16179183 4.06355278 3.96531936 3.86709157 3.76886939
[366] 3.67065283 3.57244187 3.47423651 3.37603676 3.27784259
[371] 3.17965401 3.08147102 2.98329361 2.88512177 2.78695550
[376] 2.68879480 2.59063966 2.49249009 2.39434606 2.29620759
[381] 2.19807467 2.09994729 2.00182545 1.90370916 1.80559839
[386] 1.70749316 1.60939346 1.51129929 1.41321064 1.31512751
[391] 1.21704990 1.11897781 1.02091123 0.92285016 0.82479461
[396] 0.72674456 0.62870002 0.53066098 0.43262745 0.33459941
[401] 0.23657688 0.13855985 0.04054831 -0.05745772 -0.15545827
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[441] -3.67981695 -3.77761385 -3.87540522 -3.97319104 -4.07097132
[446] -4.16874606 -4.26651524 -4.36427887 -4.46203694 -4.55978944
[451] -4.65753639 -4.75527776 -4.85301356 -4.95074378 -5.04846841
[456] -5.14618746 -5.24390092 -5.34160879 -5.43931105 -5.53700771
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[466] -6.12306968 -6.22072696 -6.31837859 -6.41602457 -6.51366490
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[501] -9.53767235 -9.63512798 -9.73257770 -9.83002152 -9.92745941
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[526] -11.97227047 -12.06957563 -12.16687464 -12.26416749 -12.36145416
[531] -12.45873464 -12.55600892 -12.65327699 -12.75053884 -12.84779446
[536] -12.94504384 -13.04228695 -13.13952380 -13.23675437 -13.33397864
[541] -13.43119661 -13.52840826 -13.62561359 -13.72281257 -13.82000520
[546] -13.91719146 -14.01437134 -14.11154483 -14.20871192 -14.30587259
[551] -14.40302683 -14.50017462 -14.59731596 -14.69445083 -14.79157922
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[566] -15.85955982 -15.95660937 -16.05365225 -16.15068846 -16.24771798
[571] -16.34474080 -16.44175690 -16.53876627 -16.63576890 -16.73276476
[576] -16.82975385 -16.92673614 -17.02371163 -17.12068031 -17.21764214
[581] -17.31459713 -17.41154525 -17.50848649 -17.60542083 -17.70234827
[586] -17.79926878 -17.89618234 -17.99308895 -18.08998859 -18.18688124
[591] -18.28376689 -18.38064552 -18.47751711 -18.57438165 -18.67123912
[596] -18.76808952 -18.86493281 -18.96176899 -19.05859804 -19.15541994
[601] -19.25223468 -19.34904223 -19.44584260 -19.54263575 -19.63942167
[606] -19.73620034 -19.83297176 -19.92973589 -20.02649273 -20.12324226
[611] -20.21998446 -20.31671931 -20.41344681 -20.51016692 -20.60687963
[616] -20.70358493 -20.80028280 -20.89697322 -20.99365618 -21.09033165
[621] -21.18699963 -21.28366008 -21.38031300 -21.47695837 -21.57359617
[626] -21.67022638 -21.76684898 -21.86346397 -21.96007131 -22.05667099
[631] -22.15326300 -22.24984731 -22.34642391 -22.44299278 -22.53955390
[636] -22.63610725 -22.73265282 -22.82919058 -22.92572053 -23.02224263
[641] -23.11875688 -23.21526325 -23.31176172 -23.40825228 -23.50473491
[646] -23.60120959 -23.69767630 -23.79413503 -23.89058574 -23.98702843
[651] -24.08346308 -24.17988966 -24.27630816 -24.37271856 -24.46912084
[656] -24.56551498 -24.66190097 -24.75827877 -24.85464838 -24.95100978
[661] -25.04736294 -25.14370784 -25.24004447 -25.33637281 -25.43269284
[666] -25.52900454 -25.62530788 -25.72160286 -25.81788944 -25.91416761
[671] -26.01043736 -26.10669866 -26.20295148 -26.29919582 -26.39543165
[676] -26.49165895 -26.58787771 -26.68408789 -26.78028949 -26.87648248
[681] -26.97266684 -27.06884255 -27.16500960 -27.26116796 -27.35731761
[686] -27.45345853 -27.54959070 -27.64571410 -27.74182871 -27.83793451
[691] -27.93403149 -28.03011961 -28.12619886 -28.22226922 -28.31833067
[696] -28.41438318 -28.51042674 -28.60646133 -28.70248693 -28.79850350
[701] -28.89451105 -28.99050953 -29.08649894 -29.18247925 -29.27845045
[706] -29.37441250 -29.47036539 -29.56630910 -29.66224361 -29.75816889
[711] -29.85408493 -29.94999171 -30.04588920 -30.14177738 -30.23765623
[716] -30.33352573 -30.42938586 -30.52523660 -30.62107792 -30.71690981
[721] -30.81273224 -30.90854520 -31.00434866 -31.10014259 -31.19592699
[726] -31.29170182 -31.38746707 -31.48322271 -31.57896872 -31.67470509
[731] -31.77043178 -31.86614878 -31.96185607 -32.05755362 -32.15324142
[736] -32.24891944 -32.34458765 -32.44024605 -32.53589460 -32.63153328
[741] -32.72716208 -32.82278097 -32.91838993 -33.01398893 -33.10957796
[746] -33.20515699 -33.30072600 -33.39628498 -33.49183388 -33.58737271
[751] -33.68290143 -33.77842002 -33.87392845 -33.96942672 -34.06491479
[756] -34.16039264 -34.25586025 -34.35131760 -34.44676467 -34.54220143
[761] -34.63762787 -34.73304395 -34.82844966 -34.92384497 -35.01922987
[766] -35.11460432 -35.20996832 -35.30532183 -35.40066483 -35.49599731
[771] -35.59131923 -35.68663058 -35.78193133 -35.87722146 -35.97250095
[776] -36.06776977 -36.16302791 -36.25827534 -36.35351204 -36.44873798
[781] -36.54395315 -36.63915752 -36.73435106 -36.82953376 -36.92470559
[786] -37.01986653 -37.11501656 -37.21015565 -37.30528378 -37.40040093
[791] -37.49550708 -37.59060220 -37.68568627 -37.78075926 -37.87582117
[796] -37.97087195 -38.06591159 -38.16094007 -38.25595736 -38.35096344
[801] -38.44595829 -38.54094188 -38.63591420 -38.73087521 -38.82582490
[806] -38.92076324 -39.01569021 -39.11060578 -39.20550994 -39.30040266
$vxf
[1] 37.95477
$vyf
[1] 0
$vzf
[1] -39.3004
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