Dynamic Complexity

Calculates Dynamic Complexity, a complexity index for short and coarse grained time series.

dc_win(
  df,
  win = 0,
  scale_min,
  scale_max,
  doPlot = FALSE,
  doPlotF = FALSE,
  doPlotD = FALSE,
  returnFandD = FALSE,
  useVarNames = TRUE,
  colOrder = TRUE,
  useTimeVector = NA,
  timeStamp = "31-01-1999",
  markID = NA,
  markIDcolour = "grey",
  markIDlabel = "Time points of interest marked grey",
  markIDalpha = 0.5,
  NAdates = 1:(win - 1),
  trimFirstWin = TRUE
)

Arguments

df

A data frame containing multivariate time series data from 1 person. Rows should indicate time, columns should indicate the time series variables. All time series in df should be on the same scale, an error will be thrown if the range of the time series indf is not [scale_min,scale_max].

win

Size of window in which to calculate Dynamic Complexity. If win < NROW(df) the window will move along the time series with a stepsize of 1 (default = NROW(df))

scale_min

The theoretical minimum value of the scale. Used to calculate expected values, so it is important to set this to the correct value.

scale_max

The theoretical maximum value of the scale. Used to calculate expected values, so it is important to set this to the correct value.

doPlot

If TRUE shows a Complexity Resonance Diagram of the Dynamic Complexity and returns an invisible ggplot2::ggplot() object. (default = FALSE)

doPlotF

If TRUE shows a Complexity Resonance Diagram of the Fluctuation Intensity and returns an invisible ggplot2::ggplot() object. (default = FALSE)

doPlotD

If TRUE shows a Complexity Resonance Diagram of the Distribution Uniformity and returns an invisible ggplot2::ggplot() object. (default = FALSE)

returnFandD

Returns a list object containing the dynamic complexity series as well as the F and D series. (default = FALSE)

useVarNames

Use the column names of df as variable names in the Complexity Resonance Diagram (default = TRUE)

colOrder

If TRUE, the order of the columns in df determines the of variables on the y-axis. Use FALSE for alphabetic/numeric order. Use NA to sort by by mean value of Dynamic Complexity (default = TRUE)

useTimeVector

Parameter used for plotting. A vector of length NROW(df), containing date/time information (default = NA)

timeStamp

If useTimeVector is not NA, a character string that can be passed to lubridate::stamp() to format the the dates/times passed in useTimeVector (default = "01-01-1999")

markID

Numeric vector of integers in the range [length of window, length of timeseries]. Vertical lines will be drawn at these indices (default = NA)

markIDcolour

Colour of time point markers (default = "red")

markIDlabel

Label added to subtitle explaining time point markers (default = Time points of interest marked red)

markIDalpha

Alpha of time point marker colour (default = .5)

NAdates

Should some dates be considered NA? Provide a numerical vector with indices, the default is to set 1:(win-1) to NA. (default = 1:(win-1))

trimFirstWin

Display the first empty window (1:win-1)? (default = TRUE)

plotMeanCD

Plot the mean Dynamic Complexity at the top row of the resonance diagram? (default = TRUE)

Value

If doPlot = TRUE, a list object containing a data frame of Dynamic Complexity values and a ggplot2 object of the dynamic complexity resonance diagram. If doPlot = FALSE the data frame with Dynamic Complexity series is returned.

References

Haken H, & Schiepek G. (2006). Synergetik in der Psychologie. Selbstorganisation verstehen und gestalten. Hogrefe, Göttingen.

Schiepek, G. (2003). A Dynamic Systems Approach to Clinical Case Formulation. European Journal of Psychological Assessment, 19, 175-184. https://doi.org/10.1027//1015-5759.19.3.175

Schiepek, G., & Strunk, G. (2010). The identification of critical fluctuations and phase transitions in short term and coarse-grained time series-a method for the real-time monitoring of human change processes. Biological cybernetics, 102(3), 197-207. https://doi.org/10.1007/s00422-009-0362-1

See also

Other Dynamic Complexity functions: dc_ccp(), dc_d(), dc_f(), plotDC_ccp(), plotDC_lvl(), plotDC_res()

Author

Merlijn Olthof

Fred Hasselman

Examples

 # Dynamic Complexity analysis on part of the coloured noise dataset:
 data(ColouredNoise)
 # Make unit scale
 df <- data.frame(Brownianish = elascer(rowSums(ColouredNoise[,1:6])), pinkish = elascer(rowSums(ColouredNoise[,7:12])), whiteish = elascer(rowSums(ColouredNoise[,12:17])))
 dc_win(df = df, win = 56, scale_min = 0, scale_max = 1, doPlot = TRUE)
#> Warning: Removed 292 rows containing missing values or values outside the scale range
#> (`geom_raster()`).
#> Warning: Removed 17 rows containing missing values or values outside the scale range
#> (`geom_vline()`).

#>      Brownianish    pinkish   whiteish
#> 1             NA         NA         NA
#> 2             NA         NA         NA
#> 3             NA         NA         NA
#> 4             NA         NA         NA
#> 5             NA         NA         NA
#> 6             NA         NA         NA
#> 7             NA         NA         NA
#> 8             NA         NA         NA
#> 9             NA         NA         NA
#> 10            NA         NA         NA
#> 11            NA         NA         NA
#> 12            NA         NA         NA
#> 13            NA         NA         NA
#> 14            NA         NA         NA
#> 15            NA         NA         NA
#> 16            NA         NA         NA
#> 17            NA         NA         NA
#> 18            NA         NA         NA
#> 19            NA         NA         NA
#> 20            NA         NA         NA
#> 21            NA         NA         NA
#> 22            NA         NA         NA
#> 23            NA         NA         NA
#> 24            NA         NA         NA
#> 25            NA         NA         NA
#> 26            NA         NA         NA
#> 27            NA         NA         NA
#> 28            NA         NA         NA
#> 29            NA         NA         NA
#> 30            NA         NA         NA
#> 31            NA         NA         NA
#> 32            NA         NA         NA
#> 33            NA         NA         NA
#> 34            NA         NA         NA
#> 35            NA         NA         NA
#> 36            NA         NA         NA
#> 37            NA         NA         NA
#> 38            NA         NA         NA
#> 39            NA         NA         NA
#> 40            NA         NA         NA
#> 41            NA         NA         NA
#> 42            NA         NA         NA
#> 43            NA         NA         NA
#> 44            NA         NA         NA
#> 45            NA         NA         NA
#> 46            NA         NA         NA
#> 47            NA         NA         NA
#> 48            NA         NA         NA
#> 49            NA         NA         NA
#> 50            NA         NA         NA
#> 51            NA         NA         NA
#> 52            NA         NA         NA
#> 53            NA         NA         NA
#> 54            NA         NA         NA
#> 55            NA         NA         NA
#> 56   0.003929900 0.03607258 0.04571277
#> 57   0.004043764 0.03666900 0.04557053
#> 58   0.003953497 0.03652056 0.04493158
#> 59   0.004023677 0.03495402 0.04324170
#> 60   0.003918914 0.03715114 0.04415901
#> 61   0.003896964 0.03734544 0.04041702
#> 62   0.003779347 0.03677859 0.03821905
#> 63   0.003945333 0.03786404 0.03935656
#> 64   0.003813665 0.03627042 0.04013129
#> 65   0.003681358 0.03670096 0.03595956
#> 66   0.003540753 0.03692233 0.03522253
#> 67   0.003694116 0.03845643 0.03581366
#> 68   0.003436674 0.03722190 0.03574860
#> 69   0.003364864 0.03753353 0.03482548
#> 70   0.003433082 0.03619703 0.03422516
#> 71   0.003609212 0.03580571 0.03397984
#> 72   0.003651787 0.03853801 0.03471532
#> 73   0.003805398 0.04032058 0.03434232
#> 74   0.003967355 0.03841984 0.03249007
#> 75   0.004207725 0.03538255 0.02803693
#> 76   0.004213398 0.03675444 0.02994383
#> 77   0.004390273 0.03593419 0.03453370
#> 78   0.004572671 0.03532578 0.03368464
#> 79   0.004674539 0.03510117 0.03249847
#> 80   0.004829240 0.03848655 0.03341792
#> 81   0.004894546 0.03635498 0.03235643
#> 82   0.004850531 0.03433824 0.03177136
#> 83   0.004897688 0.03345706 0.03215366
#> 84   0.005007301 0.03191085 0.03356707
#> 85   0.005043068 0.02786589 0.03213994
#> 86   0.004960506 0.02961292 0.02872515
#> 87   0.004897311 0.03047342 0.02874721
#> 88   0.004967373 0.02802458 0.02915760
#> 89   0.005296388 0.02775776 0.02939595
#> 90   0.004918246 0.02767047 0.02821505
#> 91   0.004656906 0.02809094 0.02680865
#> 92   0.004527568 0.02699221 0.02850514
#> 93   0.004568185 0.02709480 0.02927024
#> 94   0.004532701 0.02798049 0.03096481
#> 95   0.004499212 0.02751578 0.03165106
#> 96   0.004813074 0.02919708 0.03137783
#> 97   0.004949102 0.02424411 0.03220807
#> 98   0.005197136 0.02445046 0.03186289
#> 99   0.005064470 0.02322695 0.03219129
#> 100  0.005026769 0.02345613 0.03645196
#> 101  0.004757719 0.02220718 0.03784772
#> 102  0.004609247 0.02187315 0.03807998
#> 103  0.004343164 0.02164795 0.03904706
#> 104  0.004424111 0.01984067 0.03937440
#> 105  0.004278671 0.02044857 0.03797899
#> 106  0.003857625 0.01898241 0.03589337
#> 107  0.003735506 0.01906052 0.03533511
#> 108  0.003589131 0.01936465 0.03823549
#> 109  0.003526800 0.01742435 0.03769201
#> 110  0.003541519 0.01784574 0.03720314
#> 111  0.003263479 0.01868734 0.03733928
#> 112  0.003102905 0.02039051 0.03814001
#> 113  0.003232871 0.02085986 0.03784013
#> 114  0.003166797 0.02098312 0.04201834
#> 115  0.003206885 0.02182167 0.04520419
#> 116  0.003244860 0.02208308 0.04577717
#> 117  0.003095213 0.02247869 0.04553629
#> 118  0.002941201 0.02261991 0.04698124
#> 119  0.003051987 0.02279230 0.04613118
#> 120  0.002961985 0.02349572 0.04760215
#> 121  0.002931487 0.02450569 0.04807814
#> 122  0.002958750 0.02594107 0.05102586
#> 123  0.002897530 0.02626240 0.05301249
#> 124  0.002896700 0.02523605 0.05640882
#> 125  0.002843033 0.02643293 0.06010816
#> 126  0.002714601 0.02849855 0.06065827
#> 127  0.002748935 0.02867703 0.06056876
#> 128  0.002833130 0.03035095 0.06141768
#> 129  0.002894844 0.03240505 0.06106880
#> 130  0.002939488 0.03186205 0.05892402
#> 131  0.003250576 0.03106697 0.05782241
#> 132  0.003269283 0.03244792 0.05475100
#> 133  0.003316433 0.03292127 0.05421424
#> 134  0.003198200 0.03222115 0.05569449
#> 135  0.003128151 0.03234660 0.05362304
#> 136  0.003080616 0.03221374 0.05460888
#> 137  0.003132196 0.03193137 0.05363196
#> 138  0.003062491 0.03142496 0.05375154
#> 139  0.003194313 0.03093481 0.05585429
#> 140  0.002931996 0.03116583 0.05566249
#> 141  0.002664044 0.03014104 0.05570169
#> 142  0.002529225 0.03016643 0.05512134
#> 143  0.002333114 0.03020726 0.05428190
#> 144  0.002183660 0.03327608 0.05986806
#> 145  0.002187410 0.03392556 0.06231562
#> 146  0.002194967 0.03655424 0.06321086
#> 147  0.002146537 0.03629597 0.06347061
#> 148  0.002151152 0.03458718 0.06536179
#> 149  0.002209964 0.03410623 0.06629188
#> 150  0.002125386 0.03281699 0.06947843
#> 151  0.002021462 0.03262271 0.06650892
#> 152  0.001962220 0.03406116 0.06251350
#> 153  0.002000282 0.03157369 0.06559737
#> 154  0.002000744 0.02955609 0.06813696
#> 155  0.002024673 0.02808654 0.06512822
#> 156  0.002206786 0.02732140 0.06142730
#> 157  0.002128381 0.02798914 0.06316457
#> 158  0.002068498 0.02843972 0.06321711
#> 159  0.001952227 0.02812065 0.06359850
#> 160  0.001826075 0.02738340 0.06264730
#> 161  0.001944557 0.02916413 0.06258695
#> 162  0.001910846 0.02877137 0.06498108
#> 163  0.002013813 0.02841080 0.06542902
#> 164  0.002008503 0.03008594 0.06527593
#> 165  0.002096127 0.02995945 0.06615784
#> 166  0.002224651 0.03039861 0.06791696
#> 167  0.002375412 0.03178825 0.06683899
#> 168  0.002563170 0.03216691 0.06869780
#> 169  0.002548925 0.03115654 0.06653590
#> 170  0.002742119 0.03195058 0.06103490
#> 171  0.002720753 0.03527366 0.05898663
#> 172  0.002710582 0.03534968 0.05933564
#> 173  0.002673811 0.03584741 0.06380450
#> 174  0.002642062 0.03550050 0.06580495
#> 175  0.002635361 0.03347524 0.06493501
#> 176  0.002695896 0.03295559 0.06220062
#> 177  0.002772900 0.02906379 0.06013159
#> 178  0.002792376 0.03239190 0.05709704
#> 179  0.002918368 0.03469539 0.05316432
#> 180  0.003156039 0.03217186 0.05023306
#> 181  0.003174399 0.03022347 0.05249436
#> 182  0.003240925 0.02965949 0.05363202
#> 183  0.003193000 0.03007368 0.05274279
#> 184  0.003359742 0.03118097 0.05310251
#> 185  0.003341602 0.03086540 0.05291661
#> 186  0.003201450 0.03118133 0.05331103
#> 187  0.002876907 0.03022391 0.05420218
#> 188  0.002909752 0.03306940 0.05208706
#> 189  0.002881864 0.03345683 0.05269929
#> 190  0.002984548 0.03360877 0.05543505
#> 191  0.002978340 0.03314812 0.05708970
#> 192  0.002948316 0.03230110 0.05642159
#> 193  0.002813527 0.03185106 0.05669842
#> 194  0.002780566 0.03313421 0.05832515
#> 195  0.002906810 0.03301253 0.05896967
#> 196  0.002926261 0.03518255 0.05648307
#> 197  0.002884776 0.03247158 0.05678121
#> 198  0.003272928 0.03349096 0.05714106
#> 199  0.003339042 0.03240107 0.05250564
#> 200  0.003256135 0.03057728 0.04810845
#> 201  0.003143294 0.02947440 0.05237712
#> 202  0.003538951 0.02908899 0.05278482
#> 203  0.003733745 0.02953281 0.05402165
#> 204  0.004047631 0.03037376 0.05483621
#> 205  0.004099850 0.03082192 0.05327234
#> 206  0.004290077 0.02963213 0.05399367
#> 207  0.004379160 0.02760664 0.05239650
#> 208  0.004662823 0.02750494 0.05107643
#> 209  0.004757648 0.02740702 0.04666486
#> 210  0.005009010 0.02664912 0.04742916
#> 211  0.004652381 0.02648156 0.04739779
#> 212  0.004631473 0.02444331 0.04627806
#> 213  0.005367568 0.02307360 0.04492263
#> 214  0.005220595 0.02359150 0.04742953
#> 215  0.005551234 0.02417745 0.04922441
#> 216  0.006012206 0.02438342 0.04949344
#> 217  0.006301877 0.02456646 0.05081125
#> 218  0.006432855 0.02350886 0.05037964
#> 219  0.006296364 0.02543837 0.05141424
#> 220  0.006345563 0.02612631 0.04984433
#> 221  0.006334599 0.02681767 0.04686269
#> 222  0.006146245 0.02749564 0.04549620
#> 223  0.005933633 0.02930219 0.04221390
#> 224  0.006095501 0.02862013 0.04126286
#> 225  0.005930391 0.03029239 0.04017949
#> 226  0.005831636 0.02777038 0.04233264
#> 227  0.005791108 0.02718710 0.04209763
#> 228  0.005862051 0.02873899 0.03822640
#> 229  0.005754064 0.02925436 0.03481543
#> 230  0.005836107 0.03106351 0.03470841
#> 231  0.006227429 0.02880502 0.03444247
#> 232  0.005521371 0.02931737 0.03815182
#> 233  0.005185624 0.02670759 0.03958298
#> 234  0.004817870 0.02706426 0.03749156
#> 235  0.004684564 0.02785197 0.03605846
#> 236  0.004553750 0.02758645 0.03372248
#> 237  0.004481431 0.02757262 0.03357216
#> 238  0.004538027 0.02711585 0.03547849
#> 239  0.004266848 0.02659347 0.03568994
#> 240  0.004350420 0.02702545 0.03744631
#> 241  0.004317758 0.02585314 0.03753688
#> 242  0.004170006 0.02695538 0.03701305
#> 243  0.004060868 0.02447200 0.03777781
#> 244  0.003961112 0.02432591 0.03724807
#> 245  0.004027214 0.02310583 0.03397421
#> 246  0.003928586 0.02326909 0.03170240
#> 247  0.004197406 0.02317739 0.03117743
#> 248  0.004232602 0.02314505 0.03144933
#> 249  0.004104474 0.02326338 0.03103324
#> 250  0.004171123 0.02258340 0.03196666
#> 251  0.004197056 0.02152115 0.03339045
#> 252  0.004183036 0.02146585 0.03437934
#> 253  0.004129482 0.02186428 0.03667151
#> 254  0.004229323 0.02392248 0.03642669
#> 255  0.004539709 0.02481581 0.03637596
#> 256  0.004574015 0.02512787 0.03816197
#> 257  0.004302342 0.02562692 0.03501553
#> 258  0.004422321 0.02621053 0.03305007
#> 259  0.004342416 0.02579264 0.03016646
#> 260  0.004695374 0.02497025 0.03162507
#> 261  0.005092867 0.02418177 0.03114350
#> 262  0.005270870 0.02388729 0.03355381
#> 263  0.005530975 0.02396997 0.03354766
#> 264  0.005849894 0.02314627 0.03481778
#> 265  0.006036592 0.02323742 0.03536095
#> 266  0.006395496 0.02703106 0.03594338
#> 267  0.006835417 0.02613260 0.03720733
#> 268  0.006789774 0.02780261 0.03885608
#> 269  0.007052551 0.03049101 0.03940102
#> 270  0.007132177 0.03122940 0.03963692
#> 271  0.007031824 0.03153773 0.03854706
#> 272  0.006894829 0.03314328 0.03818742
#> 273  0.006987560 0.03379905 0.03933956
#> 274  0.007152337 0.03511264 0.04288591
#> 275  0.007097947 0.03506957 0.04365774
#> 276  0.006993403 0.03604906 0.04184048
#> 277  0.006724592 0.03627399 0.04464944
#> 278  0.006575975 0.03710062 0.04557321
#> 279  0.006377687 0.03698190 0.04867231
#> 280  0.006531234 0.03659643 0.05063176
#> 281  0.006358479 0.03818097 0.05601688
#> 282  0.006163906 0.03818286 0.05828188
#> 283  0.005987435 0.04057214 0.06073698
#> 284  0.005773834 0.04021524 0.06325191
#> 285  0.005499857 0.03923849 0.06401961
#> 286  0.005404768 0.04175772 0.06435786
#> 287  0.005167223 0.04252023 0.06043887
#> 288  0.005163037 0.04255205 0.05733618
#> 289  0.004940919 0.04219021 0.05735568
#> 290  0.004628581 0.04289782 0.05769363
#> 291  0.004530749 0.04433115 0.05691907
#> 292  0.004045862 0.04594034 0.05912661
#> 293  0.004015147 0.04584055 0.05989150
#> 294  0.003936943 0.04418951 0.06039602
#> 295  0.003836827 0.04207386 0.06078079
#> 296  0.003522231 0.04091749 0.06269796
#> 297  0.003561260 0.03957829 0.06345757
#> 298  0.003671358 0.03970438 0.06471612
#> 299  0.003615934 0.04004831 0.06172753
#> 300  0.003329527 0.04048031 0.05935838
#> 301  0.003288274 0.03919314 0.06078464
#> 302  0.003141033 0.03915030 0.06153669
#> 303  0.002960459 0.03714768 0.05862457
#> 304  0.002956354 0.03501864 0.05773982
#> 305  0.002778992 0.03414010 0.05955705
#> 306  0.002687745 0.03300130 0.05844842
#> 307  0.002580387 0.03235286 0.06229491
#> 308  0.002553369 0.03078404 0.06308538
#> 309  0.002418082 0.02869432 0.06148528
#> 310  0.002559131 0.02789236 0.06413738
#> 311  0.002444786 0.02752552 0.06053340
#> 312  0.002382887 0.02798990 0.06213048
#> 313  0.002329742 0.02719718 0.06439567
#> 314  0.002083906 0.02695229 0.06423617
#> 315  0.001987931 0.02780750 0.06246867
#> 316  0.002050881 0.02468596 0.06255761
#> 317  0.002040094 0.02387133 0.06168508
#> 318  0.002157543 0.02227560 0.05881322
#> 319  0.002234009 0.02220861 0.05989046
#> 320  0.002409231 0.02323230 0.05851210
#> 321  0.002453202 0.02183420 0.05733312
#> 322  0.002405641 0.02280823 0.05630559
#> 323  0.002334590 0.02122356 0.05395425
#> 324  0.002237245 0.02169147 0.05521510
#> 325  0.002237155 0.02261178 0.05193603
#> 326  0.002178538 0.02216629 0.05393351
#> 327  0.002203353 0.02239912 0.05435963
#> 328  0.002185779 0.02226076 0.05015873
#> 329  0.002185446 0.02341186 0.04978753
#> 330  0.002253139 0.02269307 0.04972012
#> 331  0.002495128 0.02211134 0.04717598
#> 332  0.002614236 0.02178514 0.04443762
#> 333  0.002650557 0.02200865 0.04327626
#> 334  0.002894284 0.02177402 0.04474552
#> 335  0.002855820 0.02172651 0.04263429
#> 336  0.003047661 0.02237008 0.03836114
#> 337  0.003209254 0.02257036 0.03473504
#> 338  0.003395272 0.02241555 0.03515987
#> 339  0.003285711 0.02157027 0.03313375
#> 340  0.003424525 0.02222887 0.03375981
#> 341  0.003454294 0.02005236 0.03303722
#> 342  0.003586179 0.01902156 0.03110115
#> 343  0.003893883 0.01872646 0.03419647
#> 344  0.004204894 0.01804702 0.03489861
#> 345  0.004380988 0.01970841 0.03487414
#> 346  0.004556915 0.01924347 0.03573546
#> 347  0.004577091 0.01699202 0.03265016
#> 348  0.004640123 0.01707489 0.03078135
#> 349  0.004559143 0.01809082 0.03086961
#> 350  0.004608473 0.01837903 0.03127733
#> 351  0.004552330 0.01860351 0.03251903
#> 352  0.004389946 0.01748284 0.03179260
#> 353  0.003954936 0.01839957 0.03087441
#> 354  0.003966980 0.01889866 0.03184713
#> 355  0.003939034 0.01946485 0.03206670
#> 356  0.003769246 0.01895949 0.03116579
#> 357  0.003795994 0.01827860 0.03124834
#> 358  0.003720131 0.01838443 0.03113269
#> 359  0.003454752 0.01852335 0.03124966
#> 360  0.003278270 0.01937092 0.03032144
#> 361  0.003221764 0.02085341 0.03091757
#> 362  0.003180191 0.02035854 0.02961989
#> 363  0.003265909 0.02058914 0.02818372
#> 364  0.003218617 0.02064797 0.02862788
#> 365  0.003297515 0.02195203 0.03081011
#> 366  0.003364153 0.02244253 0.02940150
#> 367  0.003162558 0.02166477 0.02982600
#> 368  0.003234293 0.02074998 0.03085172
#> 369  0.003317653 0.01928560 0.03044613
#> 370  0.003454959 0.01926676 0.03127637
#> 371  0.003299609 0.01917808 0.03066537
#> 372  0.003223204 0.02034533 0.03138815
#> 373  0.003240985 0.01905733 0.03238223
#> 374  0.003641485 0.01975398 0.03211689
#> 375  0.003504214 0.01777719 0.03064279
#> 376  0.003684723 0.01926264 0.02910128
#> 377  0.004058770 0.02035774 0.03100525
#> 378  0.004096220 0.02388536 0.03277050
#> 379  0.004186624 0.02165860 0.03152301
#> 380  0.004610236 0.02126658 0.03548235
#> 381  0.004948286 0.02073651 0.03516945
#> 382  0.005141159 0.02024091 0.03549743
#> 383  0.005270995 0.02012351 0.03651646
#> 384  0.005483280 0.02040519 0.03583917
#> 385  0.005681246 0.02042173 0.03450615
#> 386  0.005824440 0.02010237 0.03689124
#> 387  0.006246098 0.01956304 0.03690532
#> 388  0.006220588 0.01952500 0.03842140
#> 389  0.006734978 0.02075366 0.04078542
#> 390  0.007017546 0.02075663 0.04139443
#> 391  0.007131403 0.01994756 0.04316245
#> 392  0.007118694 0.01994802 0.04499756
#> 393  0.007372237 0.01955997 0.04579394
#> 394  0.007410497 0.02095998 0.04528316
#> 395  0.007829628 0.02053496 0.04624344
#> 396  0.007408138 0.02042752 0.04839598
#> 397  0.007119443 0.02166696 0.05082690
#> 398  0.006705411 0.02222714 0.04960624
#> 399  0.006106349 0.02270139 0.04821797
#> 400  0.005891904 0.02205452 0.04843214
#> 401  0.005613367 0.01950743 0.04858772
#> 402  0.005501004 0.02096849 0.05090061
#> 403  0.005560950 0.02231239 0.05202951
#> 404  0.005008809 0.02312387 0.05548387
#> 405  0.004820469 0.02287391 0.05536643
#> 406  0.004472983 0.02373979 0.05192175
#> 407  0.004333029 0.02361949 0.05168797
#> 408  0.004338032 0.02300385 0.05748722
#> 409  0.004167526 0.02341579 0.05884942
#> 410  0.004095797 0.02526985 0.05974588
#> 411  0.004013254 0.02695803 0.06008322
#> 412  0.003705886 0.02780298 0.06085576
#> 413  0.003813442 0.02867069 0.06108485
#> 414  0.003992890 0.03068100 0.06191232
#> 415  0.003701977 0.02939201 0.05939640
#> 416  0.003735896 0.02870559 0.06306290
#> 417  0.003596542 0.02934912 0.06380914
#> 418  0.003508411 0.02997254 0.06627984
#> 419  0.003745029 0.03065858 0.06731537
#> 420  0.003467745 0.03022393 0.06243994
#> 421  0.003419777 0.03111510 0.06331989
#> 422  0.003396093 0.03215876 0.06181891
#> 423  0.003365973 0.03181146 0.06362439
#> 424  0.003299578 0.03186168 0.06617328
#> 425  0.003617790 0.03164910 0.06359008
#> 426  0.003772809 0.03147960 0.06584267
#> 427  0.003999252 0.02978537 0.06603332
#> 428  0.003967857 0.02935315 0.06571019
#> 429  0.003809980 0.02957915 0.06281103
#> 430  0.003683331 0.03069172 0.06237631
#> 431  0.003670080 0.02998537 0.06421344
#> 432  0.003733111 0.02860224 0.06311794
#> 433  0.004182389 0.02736721 0.06223659
#> 434  0.004212815 0.02561783 0.06057042
#> 435  0.004037915 0.02666899 0.05964039
#> 436  0.004183700 0.02419191 0.05946650
#> 437  0.004241541 0.02329607 0.05920459
#> 438  0.004230206 0.02322302 0.05626683
#> 439  0.004647813 0.02308745 0.05660874
#> 440  0.004737602 0.02401193 0.05557261
#> 441  0.004729033 0.02475070 0.05644089
#> 442  0.004439752 0.02480077 0.05695396
#> 443  0.004415474 0.02444719 0.05508096
#> 444  0.004176095 0.02275578 0.05371650
#> 445  0.004195914 0.02186647 0.05241723
#> 446  0.004228681 0.02237053 0.05343247
#> 447  0.003945561 0.02187700 0.05213183
#> 448  0.004041331 0.02323002 0.05105279
#> 449  0.003683700 0.02255535 0.05097720
#> 450  0.003585009 0.02302064 0.05124441
#> 451  0.003739093 0.02410163 0.05176632
#> 452  0.003973349 0.02308802 0.05286996
#> 453  0.004119184 0.02431222 0.05352997
#> 454  0.004143097 0.02554320 0.05203751
#> 455  0.004390019 0.02613374 0.05013414
#> 456  0.004632947 0.02885998 0.05520457
#> 457  0.004747845 0.03140354 0.05576775
#> 458  0.004998741 0.02918755 0.05345003
#> 459  0.005009802 0.03230060 0.05138295
#> 460  0.005151189 0.03385931 0.05292341
#> 461  0.005080445 0.03694051 0.05352974
#> 462  0.004985364 0.03871208 0.05678306
#> 463  0.004854782 0.04041476 0.05386667
#> 464  0.004676334 0.04332492 0.05283330
#> 465  0.004404828 0.04375542 0.05211314
#> 466  0.004153141 0.04408383 0.05316266
#> 467  0.004003601 0.04592160 0.05433528
#> 468  0.003539603 0.04614484 0.05880004
#> 469  0.003398036 0.04489635 0.06313038
#> 470  0.003238360 0.04691123 0.06507158
#> 471  0.003252819 0.04943437 0.06319156
#> 472  0.003279531 0.05308125 0.06558961
#> 473  0.003274342 0.05360728 0.06267515
#> 474  0.003161968 0.05327064 0.05934215
#> 475  0.003116391 0.05204437 0.06151157
#> 476  0.003035187 0.05322643 0.06228032
#> 477  0.003085490 0.05337538 0.06481302
#> 478  0.003085736 0.05568568 0.06537780
#> 479  0.003307492 0.05611402 0.06450878
#> 480  0.003095484 0.05417140 0.06235689
#> 481  0.003030552 0.05294718 0.06424526
#> 482  0.003018555 0.05454520 0.06552581
#> 483  0.002932733 0.05583405 0.06548887
#> 484  0.003066741 0.05419713 0.06707256
#> 485  0.003200186 0.05090414 0.06869438
#> 486  0.003181393 0.04915953 0.06816840
#> 487  0.003086426 0.04911391 0.06632617
#> 488  0.003026553 0.04952869 0.06645651
#> 489  0.003041484 0.04951304 0.07158027
#> 490  0.003011584 0.05083476 0.07425574
#> 491  0.002873514 0.05070020 0.07450943
#> 492  0.002768587 0.05177020 0.07122301
#> 493  0.002932966 0.05251854 0.07138479
#> 494  0.002801424 0.05052439 0.06957104
#> 495  0.002854103 0.04751436 0.07259150
#> 496  0.003013615 0.04830790 0.07288124
#> 497  0.003156108 0.04725841 0.06947972
#> 498  0.003171402 0.04697502 0.06834398
#> 499  0.003161342 0.04582150 0.06650018
#> 500  0.003089139 0.04508357 0.07051556
#> 501  0.003106557 0.04433990 0.06945385
#> 502  0.003118062 0.04438345 0.06575832
#> 503  0.003268609 0.04190035 0.06370711
#> 504  0.003246865 0.04155592 0.06316919
#> 505  0.003377710 0.04383790 0.06191105
#> 506  0.003217818 0.04333957 0.05908647
#> 507  0.003275296 0.04220016 0.05488887
#> 508  0.002940718 0.04198623 0.05767121
#> 509  0.003082812 0.04205242 0.05767733
#> 510  0.003035923 0.04132294 0.05831639
#> 511  0.002786086 0.04110286 0.05247561
#> 512  0.002957369 0.04006847 0.05032084
#> 513  0.003089927 0.04046671 0.04930384
#> 514  0.002944741 0.03755782 0.05025490
#> 515  0.002995840 0.03836388 0.04994537
#> 516  0.002830071 0.03615738 0.04682351
#> 517  0.002887189 0.03834378 0.04836312
#> 518  0.002684773 0.03683487 0.04411864
#> 519  0.002834709 0.03674415 0.04596757
#> 520  0.002930110 0.03640179 0.04490180
#> 521  0.002855940 0.03693804 0.04551527
#> 522  0.002859030 0.03832885 0.04584641
#> 523  0.003128326 0.03805281 0.04583314
#> 524  0.002982287 0.03830573 0.04026694
#> 525  0.003080188 0.03718047 0.03923412
#> 526  0.003290464 0.03669398 0.04112032
#> 527  0.003345336 0.03580805 0.04073406
#> 528  0.003275124 0.03788773 0.04067792
#> 529  0.003392605 0.03865871 0.04137488
#> 530  0.003719780 0.03651986 0.04165011
#> 531  0.003993966 0.03533007 0.04061006
#> 532  0.003854146 0.03338688 0.04164053
#> 533  0.003891611 0.03145282 0.04113750
#> 534  0.003890088 0.03088430 0.03811169
#> 535  0.003962696 0.02963913 0.03958501
#> 536  0.003980923 0.03049274 0.04016226
#> 537  0.003818124 0.03046172 0.03904278
#> 538  0.003988996 0.03072536 0.03900036
#> 539  0.003965886 0.02945076 0.03670731
#> 540  0.004061611 0.02904339 0.03597275
#> 541  0.004045054 0.03142952 0.03744094
#> 542  0.004112443 0.03226653 0.03932258
#> 543  0.004335154 0.03217542 0.03781044
#> 544  0.004810339 0.03236328 0.03386911
#> 545  0.004883709 0.03238802 0.03365263
#> 546  0.005060493 0.03556250 0.03101005
#> 547  0.005178455 0.03654888 0.03054934
#> 548  0.005255817 0.03620937 0.02828888
#> 549  0.005453281 0.03690420 0.03056847
#> 550  0.005307077 0.03705136 0.03166770
#> 551  0.005301638 0.03711908 0.02996971
#> 552  0.005324775 0.03563306 0.03040325
#> 553  0.005136728 0.03548645 0.03075901
#> 554  0.005289928 0.03566648 0.03179596
#> 555  0.005449112 0.03522688 0.02964754
#> 556  0.005561478 0.03413021 0.02965959
#> 557  0.005315811 0.03363842 0.02927961
#> 558  0.005135469 0.03361653 0.02789574
#> 559  0.005304746 0.03326334 0.02596978
#> 560  0.005443867 0.03094475 0.02624106
#> 561  0.005262919 0.03011044 0.02567091
#> 562  0.004830678 0.02956057 0.02684059
#> 563  0.004882047 0.03006845 0.02592842
#> 564  0.004817005 0.03089832 0.02616375
#> 565  0.004841668 0.03046021 0.02574191
#> 566  0.004914934 0.03214062 0.02730503
#> 567  0.004789535 0.03227678 0.02859876
#> 568  0.004754906 0.03160854 0.03116760
#> 569  0.004962370 0.03106271 0.03238335
#> 570  0.005263443 0.03099672 0.03182107
#> 571  0.005232579 0.03055687 0.03076448
#> 572  0.005250014 0.02940239 0.03025739
#> 573  0.005268905 0.02917481 0.03043255
#> 574  0.005397279 0.02932925 0.02857632
#> 575  0.005284016 0.02926857 0.02888870
#> 576  0.005410002 0.03076754 0.02888652
#> 577  0.005447599 0.03098650 0.02787458
#> 578  0.005430462 0.03072770 0.02682705
#> 579  0.005231916 0.03214154 0.02716331
#> 580  0.005057603 0.03143994 0.02807222
#> 581  0.004875556 0.03102306 0.02676423
#> 582  0.004837445 0.03065896 0.02645199
#> 583  0.004841298 0.02999881 0.02648140
#> 584  0.004604872 0.02812319 0.02701529
#> 585  0.003979851 0.02726805 0.02819230
#> 586  0.003886089 0.02689119 0.03010276
#> 587  0.003990174 0.02824412 0.03067679
#> 588  0.004285688 0.02787677 0.02985287
#> 589  0.004265427 0.02766256 0.02799448
#> 590  0.003986005 0.02777343 0.03049017
#> 591  0.004108522 0.02880904 0.03102821
#> 592  0.004412513 0.03042257 0.03291239
#> 593  0.004626977 0.02992707 0.03487013
#> 594  0.004540764 0.02985501 0.03399972
#> 595  0.004882531 0.03014021 0.03429377
#> 596  0.004763667 0.02814304 0.03450605
#> 597  0.004887288 0.02879528 0.03687808
#> 598  0.004624902 0.02868644 0.03623968
#> 599  0.004460835 0.02668581 0.03544800
#> 600  0.004376556 0.02745995 0.03525898
#> 601  0.004477243 0.02620474 0.03761646
#> 602  0.004267696 0.02438393 0.03936472
#> 603  0.004000335 0.02387323 0.04011422
#> 604  0.003860969 0.02353293 0.03901468
#> 605  0.003659825 0.02331181 0.03788351
#> 606  0.003535242 0.02394877 0.03775577
#> 607  0.003540495 0.02397826 0.03859469
#> 608  0.003374672 0.02235546 0.03674654
#> 609  0.003263363 0.02457990 0.03671482
#> 610  0.003086639 0.02601932 0.03561702
#> 611  0.003221633 0.02619567 0.03463197
#> 612  0.003023641 0.02624929 0.03587162
#> 613  0.002917302 0.02867604 0.03655249
#> 614  0.002784638 0.02941762 0.03819848
#> 615  0.002889331 0.02891768 0.04008083
#> 616  0.003030512 0.02905695 0.04027145
#> 617  0.003082202 0.02917729 0.04069396
#> 618  0.002977531 0.02885737 0.04119747
#> 619  0.002950006 0.02849603 0.04007036
#> 620  0.003138708 0.02904714 0.04205873
#> 621  0.003089619 0.02902531 0.03755045
#> 622  0.003165305 0.02724096 0.03802254
#> 623  0.003350788 0.03037246 0.03902234
#> 624  0.003536426 0.03128808 0.03844048
#> 625  0.003409663 0.03248674 0.03979227
#> 626  0.003355880 0.03244638 0.03954998
#> 627  0.003413402 0.03393771 0.03990836
#> 628  0.003270727 0.03476717 0.04322163
#> 629  0.003222201 0.03451945 0.04538219
#> 630  0.003322713 0.03114422 0.04543367
#> 631  0.003140355 0.03023871 0.04971617
#> 632  0.003089560 0.03026681 0.05230325
#> 633  0.002929529 0.02894083 0.05028931
#> 634  0.002943771 0.02915271 0.04858151
#> 635  0.003006305 0.02813973 0.04809031
#> 636  0.003127998 0.03136835 0.04875664
#> 637  0.003063455 0.03113476 0.05167310
#> 638  0.002920910 0.03060380 0.05161913
#> 639  0.002949368 0.03107069 0.05442366
#> 640  0.003019432 0.03181352 0.05315740
#> 641  0.003353354 0.03114846 0.05072256
#> 642  0.003219083 0.03172860 0.05073805
#> 643  0.003256068 0.03079481 0.05481531
#> 644  0.003531214 0.03144754 0.05473764
#> 645  0.003532920 0.03136051 0.05233303
#> 646  0.003375190 0.03079094 0.04885691
#> 647  0.003269033 0.02915088 0.04779113
#> 648  0.003359716 0.02931368 0.04694254
#> 649  0.003388899 0.03092159 0.04959217
#> 650  0.003233784 0.03094901 0.04884671
#> 651  0.003372062 0.03037135 0.04801616
#> 652  0.003226446 0.03076159 0.04670502
#> 653  0.003422797 0.03226973 0.04748297
#> 654  0.003466921 0.03240023 0.04644579
#> 655  0.003277691 0.03115480 0.04730656
#> 656  0.003174004 0.03156942 0.04571155
#> 657  0.003314634 0.03215344 0.04302786
#> 658  0.003370239 0.03266679 0.04354648
#> 659  0.003285581 0.03333451 0.04277627
#> 660  0.003374273 0.03482022 0.04316617
#> 661  0.003286280 0.03485806 0.04268479
#> 662  0.003305993 0.03679378 0.04177770
#> 663  0.003538827 0.03729011 0.04219380
#> 664  0.003864914 0.03684127 0.04406040
#> 665  0.003591093 0.03600219 0.04666774
#> 666  0.003713476 0.03637690 0.04850839
#> 667  0.003701583 0.03773617 0.04675761
#> 668  0.003468707 0.03663456 0.04880902
#> 669  0.003404560 0.03505125 0.04815562
#> 670  0.003427696 0.03511790 0.05059491
#> 671  0.003325393 0.03672025 0.05312533
#> 672  0.003484521 0.03858561 0.05242481
#> 673  0.003653556 0.03814419 0.05582865
#> 674  0.003776326 0.03835980 0.05603297
#> 675  0.003773932 0.03699909 0.05351857
#> 676  0.003750953 0.03690998 0.05317522
#> 677  0.003742497 0.03863494 0.05379087
#> 678  0.003565620 0.03525932 0.05126777
#> 679  0.003493034 0.03264777 0.05061318
#> 680  0.003775908 0.03272264 0.05050726
#> 681  0.003712454 0.03160606 0.05021256
#> 682  0.003731239 0.02841329 0.05021162
#> 683  0.003840554 0.02732893 0.04733175
#> 684  0.003808481 0.02763953 0.04661391
#> 685  0.003867666 0.02935812 0.04296355
#> 686  0.003991425 0.02896058 0.04029135
#> 687  0.004000025 0.03040386 0.04238887
#> 688  0.004191225 0.02900932 0.04378210
#> 689  0.004327055 0.02711576 0.04216911
#> 690  0.004223529 0.02838672 0.04428690
#> 691  0.004155841 0.02707949 0.04565537
#> 692  0.004122700 0.02555657 0.04866653
#> 693  0.004130596 0.02598321 0.05015975
#> 694  0.004252924 0.02618934 0.04877657
#> 695  0.004408476 0.02582612 0.04683631
#> 696  0.004312581 0.02382863 0.04683599
#> 697  0.004357028 0.02266087 0.04470890
#> 698  0.004574089 0.02154713 0.04267703
#> 699  0.004486219 0.02052904 0.04367036
#> 700  0.004593961 0.02008801 0.04393986
#> 701  0.004575064 0.02167632 0.04524362
#> 702  0.004473384 0.02352871 0.04637994
#> 703  0.004376477 0.02359691 0.04573326
#> 704  0.004426962 0.02338780 0.04445882
#> 705  0.004338936 0.02393342 0.04453256
#> 706  0.004405467 0.02518895 0.04276208
#> 707  0.004586976 0.02444129 0.04114041
#> 708  0.004510314 0.02278261 0.04209887
#> 709  0.004477519 0.02402330 0.04305878
#> 710  0.004826010 0.02437881 0.04357424
#> 711  0.004851487 0.02571993 0.04587081
#> 712  0.004674839 0.02606715 0.04456536
#> 713  0.005176498 0.02652438 0.04514845
#> 714  0.005013221 0.02639272 0.04835271
#> 715  0.004967314 0.02634874 0.04891292
#> 716  0.005188040 0.02641418 0.05136238
#> 717  0.005726227 0.02638578 0.05379976
#> 718  0.005321450 0.02662112 0.05666432
#> 719  0.005473903 0.02601428 0.05163622
#> 720  0.005435400 0.02761679 0.04757316
#> 721  0.005648175 0.02668925 0.04694069
#> 722  0.005867939 0.02589660 0.04578294
#> 723  0.005989329 0.02640962 0.04410655
#> 724  0.006488952 0.02609699 0.04324674
#> 725  0.006540771 0.02474870 0.04164168
#> 726  0.006590428 0.02314326 0.04221934
#> 727  0.007084816 0.02258917 0.04293671
#> 728  0.006564215 0.02235166 0.04102880
#> 729  0.006405163 0.02244020 0.04382910
#> 730  0.006237136 0.02458127 0.04343024
#> 731  0.006254733 0.02416581 0.04964740
#> 732  0.006429551 0.02469297 0.04751413
#> 733  0.006451425 0.02472136 0.04941910
#> 734  0.006639534 0.02486241 0.04933498
#> 735  0.006307738 0.02465539 0.05003522
#> 736  0.006486343 0.02534002 0.05329233
#> 737  0.006282168 0.02732138 0.05315671
#> 738  0.006457499 0.02903832 0.05096045
#> 739  0.006261758 0.02921557 0.05080162
#> 740  0.005992148 0.02714284 0.04915007
#> 741  0.005989695 0.02775181 0.04957567
#> 742  0.005847026 0.02707963 0.04905310
#> 743  0.005445826 0.02850602 0.05021818
#> 744  0.005142872 0.02863527 0.05034990
#> 745  0.005065607 0.02986516 0.04836615
#> 746  0.004918224 0.02890213 0.04723858
#> 747  0.004867686 0.02916350 0.04159177
#> 748  0.004720203 0.02942450 0.03931716
#> 749  0.004758900 0.02894319 0.03958862
#> 750  0.004669620 0.03012199 0.04074381
#> 751  0.004673309 0.03078056 0.04174436
#> 752  0.004515588 0.03260055 0.04348487
#> 753  0.004652714 0.03378963 0.04257644
#> 754  0.004562176 0.03467857 0.04307343
#> 755  0.004572234 0.03505183 0.04355241
#> 756  0.004592017 0.03377933 0.04148792
#> 757  0.004738106 0.03231682 0.04441366
#> 758  0.004905277 0.03406862 0.04509692
#> 759  0.004915131 0.03401308 0.04623707
#> 760  0.004950455 0.03416482 0.04839446
#> 761  0.005098301 0.03352311 0.04836939
#> 762  0.005025268 0.03242640 0.04983490
#> 763  0.005334773 0.03348753 0.04941279
#> 764  0.005348112 0.03179797 0.04871650
#> 765  0.005141482 0.02948478 0.04711776
#> 766  0.005352252 0.02818013 0.04770485
#> 767  0.005682680 0.02848060 0.05047525
#> 768  0.005726732 0.02790279 0.05038095
#> 769  0.005924989 0.02986934 0.04475809
#> 770  0.005973494 0.02873431 0.04406728
#> 771  0.005685638 0.02765747 0.04404875
#> 772  0.005835326 0.02840973 0.04524190
#> 773  0.005388020 0.02910534 0.04927661
#> 774  0.005545195 0.02771647 0.05055707
#> 775  0.005465908 0.02527053 0.04933390
#> 776  0.005155981 0.02634605 0.04747689
#> 777  0.005177310 0.02661019 0.05214448
#> 778  0.005166494 0.02595285 0.05594084
#> 779  0.005216611 0.02463698 0.05605420
#> 780  0.004807781 0.02894135 0.05899424
#> 781  0.004644937 0.03046802 0.05824980
#> 782  0.004678326 0.02968419 0.05382728
#> 783  0.004947393 0.02884003 0.05238208
#> 784  0.005070328 0.02914389 0.04987997
#> 785  0.005109871 0.02985551 0.04943914
#> 786  0.005036901 0.02907789 0.04792690
#> 787  0.005042086 0.02659477 0.04561947
#> 788  0.004679019 0.02749264 0.04566117
#> 789  0.004711382 0.02945558 0.05054932
#> 790  0.004357783 0.02878599 0.05167039
#> 791  0.004331456 0.02925795 0.05048161
#> 792  0.004448718 0.02976116 0.04991731
#> 793  0.004424452 0.03001349 0.05214181
#> 794  0.004446836 0.02995270 0.05343097
#> 795  0.004401659 0.03050387 0.05785300
#> 796  0.004553748 0.03153582 0.06083126
#> 797  0.004100241 0.03362778 0.05713041
#> 798  0.003870935 0.03630167 0.05567909
#> 799  0.003999375 0.03764175 0.05995548
#> 800  0.003937796 0.03715368 0.06099895
#> 801  0.003822867 0.04071608 0.05807180
#> 802  0.003642609 0.03977143 0.06052816
#> 803  0.003404487 0.03809932 0.06224193
#> 804  0.003068463 0.03710912 0.06214415
#> 805  0.003007731 0.03667454 0.06089353
#> 806  0.002911327 0.03579450 0.05897886
#> 807  0.002878881 0.03500879 0.05938939
#> 808  0.002810980 0.03618301 0.06152323
#> 809  0.002728599 0.03636895 0.06164700
#> 810  0.002819817 0.03858710 0.06123429
#> 811  0.003014630 0.03972841 0.06358673
#> 812  0.002989385 0.04087080 0.06357765
#> 813  0.003113613 0.04220915 0.06561617
#> 814  0.003132893 0.04193370 0.06503958
#> 815  0.003044139 0.04049458 0.06402106
#> 816  0.003175583 0.03823951 0.06669301
#> 817  0.003308691 0.03707352 0.07026847
#> 818  0.003442054 0.03687778 0.07160091
#> 819  0.003469485 0.03680256 0.07583914
#> 820  0.003614693 0.03831779 0.07499156
#> 821  0.003377145 0.03669018 0.07868086
#> 822  0.003380443 0.03612219 0.07909423
#> 823  0.003385076 0.03743859 0.07470455
#> 824  0.003255744 0.03784013 0.07556071
#> 825  0.003201034 0.03907989 0.07592951
#> 826  0.003075756 0.03999740 0.07728929
#> 827  0.003127751 0.04012020 0.07552000
#> 828  0.003073649 0.03941483 0.06817043
#> 829  0.003114392 0.03893427 0.06652006
#> 830  0.003273383 0.03753026 0.06542533
#> 831  0.003101032 0.03649233 0.06918386
#> 832  0.003078894 0.03671398 0.06539613
#> 833  0.003057880 0.03677645 0.06010701
#> 834  0.002932079 0.03563367 0.06344693
#> 835  0.002924842 0.03161038 0.06155550
#> 836  0.003181551 0.03030259 0.05902729
#> 837  0.002811531 0.03112971 0.05879031
#> 838  0.002651569 0.03226940 0.05950632
#> 839  0.002696644 0.03129645 0.06029927
#> 840  0.002798674 0.03167551 0.06015387
#> 841  0.002865426 0.03220341 0.05984591
#> 842  0.002778014 0.03188989 0.05947830
#> 843  0.002780658 0.03145867 0.06080822
#> 844  0.002778706 0.02962186 0.05981523
#> 845  0.002840952 0.03003007 0.05509253
#> 846  0.002807023 0.03069295 0.05402614
#> 847  0.002480563 0.03027672 0.05413060
#> 848  0.002548380 0.03004199 0.05294622
#> 849  0.002438080 0.03031799 0.05759705
#> 850  0.002259224 0.03199118 0.05020566
#> 851  0.002102870 0.03049869 0.04808742
#> 852  0.002022194 0.02794774 0.04689268
#> 853  0.002191516 0.02738667 0.04713060
#> 854  0.002056124 0.02633946 0.04657149
#> 855  0.002061873 0.02669882 0.04629292
#> 856  0.002036945 0.02619763 0.04636399
#> 857  0.002147519 0.02598601 0.04446873
#> 858  0.002304689 0.02698173 0.04470508
#> 859  0.002322612 0.02732951 0.04274796
#> 860  0.002422074 0.02682021 0.04489738
#> 861  0.002505968 0.02623903 0.04574782
#> 862  0.002411356 0.02610673 0.04682794
#> 863  0.002429977 0.02499115 0.04782073
#> 864  0.002393222 0.02482064 0.04928259
#> 865  0.002271365 0.02426743 0.04531478
#> 866  0.002131000 0.02374196 0.04533112
#> 867  0.002157536 0.02345299 0.04453101
#> 868  0.002316741 0.02417742 0.04400177
#> 869  0.002398323 0.02376459 0.04391341
#> 870  0.002458009 0.02504610 0.04285169
#> 871  0.002412284 0.02437511 0.04548832
#> 872  0.002379077 0.02560874 0.04355378
#> 873  0.002254684 0.02590100 0.04108594
#> 874  0.002117772 0.02452299 0.04096570
#> 875  0.002020391 0.02457484 0.03756192
#> 876  0.001952521 0.02276664 0.03850984
#> 877  0.002034655 0.02416026 0.03517353
#> 878  0.002081562 0.02494424 0.03462704
#> 879  0.002102852 0.02393768 0.03701588
#> 880  0.002312101 0.02300489 0.03634619
#> 881  0.002368639 0.02225128 0.03600002
#> 882  0.002429327 0.02176491 0.03623629
#> 883  0.002541357 0.02143162 0.03512971
#> 884  0.002677548 0.02059011 0.03603391
#> 885  0.002833040 0.02093574 0.03598708
#> 886  0.002841955 0.02199209 0.03798959
#> 887  0.003002480 0.02150654 0.03917904
#> 888  0.003349900 0.02107757 0.03924543
#> 889  0.003476306 0.02072489 0.04000482
#> 890  0.003620307 0.02110339 0.03826571
#> 891  0.004025818 0.02109421 0.03923233
#> 892  0.003910690 0.02185064 0.04045851
#> 893  0.004213893 0.02363363 0.04372464
#> 894  0.004243290 0.02537729 0.04068166
#> 895  0.004142284 0.02605294 0.04064325
#> 896  0.004147825 0.02694070 0.04107796
#> 897  0.004419902 0.02946488 0.04460418
#> 898  0.004878536 0.02745290 0.04135495
#> 899  0.005172636 0.02803277 0.03892830
#> 900  0.005196703 0.02986563 0.03899188
#> 901  0.005150460 0.03069036 0.03761662
#> 902  0.005275755 0.03199070 0.03720145
#> 903  0.005393025 0.03244142 0.03648119
#> 904  0.006008765 0.03216624 0.03512681
#> 905  0.005999237 0.03110338 0.03438603
#> 906  0.006113809 0.03168020 0.03387050
#> 907  0.005948601 0.03594916 0.03441869
#> 908  0.005630398 0.03539073 0.03254392
#> 909  0.005959599 0.03538975 0.03144820
#> 910  0.006178320 0.03424276 0.02959212
#> 911  0.005700198 0.03271098 0.02835312
#> 912  0.005745585 0.03507099 0.02853231
#> 913  0.005682352 0.03601484 0.02869404
#> 914  0.005311804 0.03542720 0.02901421
#> 915  0.005274414 0.03526912 0.02927629
#> 916  0.005223419 0.03639516 0.03317586
#> 917  0.005066331 0.03765450 0.03466748
#> 918  0.005560199 0.03731278 0.03361126
#> 919  0.005571690 0.03698958 0.03344079
#> 920  0.005656941 0.03592280 0.03417097
#> 921  0.005494740 0.03579967 0.03528254
#> 922  0.005875471 0.03727831 0.03606795
#> 923  0.005438579 0.03609411 0.03300064
#> 924  0.005413682 0.03480861 0.03332816
#> 925  0.005055638 0.03430409 0.03270810
#> 926  0.005094328 0.03444640 0.03345932
#> 927  0.005366721 0.03388327 0.03394278
#> 928  0.005281867 0.03286397 0.03355181
#> 929  0.005352924 0.03390635 0.03335221
#> 930  0.005482286 0.03774818 0.03340644
#> 931  0.005888184 0.03921816 0.03425704
#> 932  0.006124469 0.03560181 0.03522957
#> 933  0.006146377 0.03304907 0.03575682
#> 934  0.005980446 0.03334040 0.03402436
#> 935  0.005619857 0.03136993 0.03532194
#> 936  0.005580897 0.03099852 0.03508483
#> 937  0.005999435 0.03213522 0.03659626
#> 938  0.006331003 0.03021392 0.03783801
#> 939  0.006521146 0.03028322 0.03633516
#> 940  0.006507433 0.03099939 0.03540916
#> 941  0.006367654 0.03075443 0.03832950
#> 942  0.006587771 0.03014909 0.03937297
#> 943  0.006538799 0.03129629 0.03746986
#> 944  0.006914564 0.03010920 0.03645521
#> 945  0.006469531 0.02979781 0.03605668
#> 946  0.006845789 0.02861849 0.03792920
#> 947  0.006838465 0.02747892 0.03830930
#> 948  0.006592614 0.02461410 0.03671994
#> 949  0.006294338 0.02484098 0.03805529
#> 950  0.006666787 0.02537580 0.04126912
#> 951  0.006404544 0.02492442 0.04048994
#> 952  0.006161680 0.02435180 0.04159820
#> 953  0.005437668 0.02533267 0.03992368
#> 954  0.005297130 0.02474925 0.04199486
#> 955  0.005158212 0.02591437 0.04359032
#> 956  0.005196078 0.02704732 0.04306852
#> 957  0.004829554 0.02730467 0.04443965
#> 958  0.004535491 0.02691480 0.04469017
#> 959  0.004310229 0.02791129 0.04555088
#> 960  0.004348258 0.02937134 0.04608136
#> 961  0.003845905 0.02838010 0.04526409
#> 962  0.003812339 0.02734881 0.04750392
#> 963  0.003669165 0.02749609 0.05026082
#> 964  0.003430717 0.02632845 0.04834393
#> 965  0.003261947 0.02608708 0.05064642
#> 966  0.003033666 0.02684019 0.05280675
#> 967  0.002928502 0.02622318 0.05386741
#> 968  0.002838964 0.02568213 0.05059690
#> 969  0.002974910 0.02675980 0.05224238
#> 970  0.002890411 0.02669538 0.05048283
#> 971  0.003132959 0.02762728 0.05050121
#> 972  0.003159286 0.02903050 0.05020718
#> 973  0.003158741 0.02835106 0.05021667
#> 974  0.003257968 0.02873638 0.04837186
#> 975  0.003322717 0.03059844 0.04831994
#> 976  0.003236935 0.03284316 0.04599745
#> 977  0.003109062 0.03097953 0.04439836
#> 978  0.003161109 0.02967663 0.04305836
#> 979  0.003308045 0.03029138 0.04275985
#> 980  0.003256664 0.03121140 0.04551542
#> 981  0.003274052 0.03044804 0.04813006
#> 982  0.003324061 0.02980053 0.04820570
#> 983  0.003305612 0.03087353 0.04702119
#> 984  0.003388591 0.03092541 0.04757143
#> 985  0.003387679 0.02964243 0.04659278
#> 986  0.003607565 0.02822935 0.04681647
#> 987  0.003601402 0.02802814 0.04467172
#> 988  0.003710436 0.02815193 0.04653981
#> 989  0.003909360 0.02732925 0.04729705
#> 990  0.003950999 0.02589878 0.05074752
#> 991  0.003995085 0.02645391 0.04649728
#> 992  0.004309614 0.02607876 0.04579589
#> 993  0.004286364 0.02750921 0.04433724
#> 994  0.004255678 0.02928557 0.04762100
#> 995  0.004289572 0.03013694 0.05220701
#> 996  0.004580609 0.03021813 0.04665679
#> 997  0.004949965 0.02997254 0.04824104
#> 998  0.004648839 0.02941349 0.04758730
#> 999  0.004783063 0.02988998 0.04605087
#> 1000 0.004770971 0.03072983 0.04488333
#> 1001 0.004366542 0.03151723 0.04512918
#> 1002 0.004482144 0.03252014 0.04514822
#> 1003 0.004431513 0.03228325 0.04488940
#> 1004 0.004417866 0.03204823 0.04851019
#> 1005 0.004217933 0.03113898 0.04760751
#> 1006 0.004254401 0.03387169 0.04765964
#> 1007 0.004224638 0.03425119 0.04551636
#> 1008 0.004200605 0.03297274 0.04315422
#> 1009 0.004042421 0.03290019 0.04173450
#> 1010 0.004060636 0.03388854 0.04114432
#> 1011 0.003923718 0.03243006 0.04221278
#> 1012 0.003893760 0.03388692 0.04508292
#> 1013 0.003954146 0.03280374 0.04331651
#> 1014 0.003842478 0.03075694 0.04251641
#> 1015 0.004165850 0.02906119 0.04202305
#> 1016 0.004203863 0.02807487 0.04313800
#> 1017 0.004220713 0.02838271 0.04514222
#> 1018 0.004274087 0.02700628 0.04558842
#> 1019 0.004390046 0.02623848 0.04411494
#> 1020 0.004449152 0.02552085 0.04195761
#> 1021 0.004511331 0.02504481 0.04123128
#> 1022 0.004632842 0.02529061 0.04101115
#> 1023 0.004770929 0.02582122 0.04305058
#> 1024 0.004433824 0.02606959 0.04114508