de_mean() computes group- and de-meaned versions of a variable that can be used in regression analysis to model the between- and within-subject effect.

de_mean(x, ..., grp, append = TRUE, suffix.dm = "_dm", suffix.gm = "_gm")

Arguments

x

A data frame.

...

Names of variables that should be group- and de-meaned.

grp

Quoted or unquoted name of the variable that indicates the group- or cluster-ID.

append

Logical, if TRUE (the default) and x is a data frame, x including the new variables as additional columns is returned; if FALSE, only the new variables are returned.

suffix.dm, suffix.gm

String value, will be appended to the names of the group-meaned and de-meaned variables of x. By default, de-meaned variables will be suffixed with "_dm" and grouped-meaned variables with "_gm".

Value

For append = TRUE, x including the group-/de-meaned variables as new columns is returned; if append = FALSE, only the group-/de-meaned variables will be returned.

Details

de_mean() is intended to create group- and de-meaned variables for complex random-effect-within-between models (see Bell et al. 2018), where group-effects (random effects) and fixed effects correlate (see Bafumi and Gelman 2006)). This violation of one of the Gauss-Markov-assumptions can happen, for instance, when analysing panel data. To control for correlating predictors and group effects, it is recommended to include the group-meaned and de-meaned version of time-varying covariates in the model. By this, one can fit complex multilevel models for panel data, including time-varying, time-invariant predictors and random effects. This approach is superior to simple fixed-effects models, which lack information of variation in the group-effects or between-subject effects.

A description of how to translate the formulas described in Bell et al. 2018 into R using lmer() from lme4 or glmmTMB() from glmmTMB can be found here: for lmer() and for glmmTMB().

References

Bafumi J, Gelman A. 2006. Fitting Multilevel Models When Predictors and Group Effects Correlate. In. Philadelphia, PA: Annual meeting of the American Political Science Association.

Bell A, Fairbrother M, Jones K. 2018. Fixed and Random Effects Models: Making an Informed Choice. Quality & Quantity. doi: 10.1007/s11135-018-0802-x

Examples

data(efc)
efc$ID <- sample(1:4, nrow(efc), replace = TRUE) # fake-ID
de_mean(efc, c12hour, barthtot, grp = ID, append = FALSE)
#>     c12hour barthtot  c12hour_dm barthtot_dm c12hour_gm barthtot_gm
#> 1        16       75 -28.8412698  12.7837838   44.84127    62.21622
#> 2       148       75 110.7384615   8.6770428   37.26154    66.32296
#> 3        70       35  26.7623318 -28.6757991   43.23767    63.67580
#> 4       168        0 124.7623318 -63.6757991   43.23767    63.67580
#> 5       168       25 123.1587302 -37.2162162   44.84127    62.21622
#> 6        16       60 -29.3869565  -5.2927928   45.38696    65.29279
#> 7       161        5 117.7623318 -58.6757991   43.23767    63.67580
#> 8       110       35  65.1587302 -27.2162162   44.84127    62.21622
#> 9        28       15 -16.8412698 -47.2162162   44.84127    62.21622
#> 10       40        0  -5.3869565 -65.2927928   45.38696    65.29279
#> 11      100       25  54.6130435 -40.2927928   45.38696    65.29279
#> 12       25       85 -12.2615385  18.6770428   37.26154    66.32296
#> 13       25       15 -12.2615385 -51.3229572   37.26154    66.32296
#> 14       24       70 -13.2615385   3.6770428   37.26154    66.32296
#> 15       56       NA  12.7623318          NA   43.23767    63.67580
#> 16       20        0 -23.2376682 -63.6757991   43.23767    63.67580
#> 17       25       95 -19.8412698  32.7837838   44.84127    62.21622
#> 18      126       55  88.7384615 -11.3229572   37.26154    66.32296
#> 19      168       55 122.6130435 -10.2927928   45.38696    65.29279
#> 20      118       45  72.6130435 -20.2927928   45.38696    65.29279
#> 21      150        0 105.1587302 -62.2162162   44.84127    62.21622
#> 22       50       70  12.7384615   3.6770428   37.26154    66.32296
#> 23       18       20 -26.8412698 -42.2162162   44.84127    62.21622
#> 24      168        0 124.7623318 -63.6757991   43.23767    63.67580
#> 25       15       95 -28.2376682  31.3242009   43.23767    63.67580
#> 26      168       10 122.6130435 -55.2927928   45.38696    65.29279
#> 27       12       75 -25.2615385   8.6770428   37.26154    66.32296
#> 28        7       90 -37.8412698  27.7837838   44.84127    62.21622
#> 29       35       60  -8.2376682  -3.6757991   43.23767    63.67580
#> 30      168       20 130.7384615 -46.3229572   37.26154    66.32296
#> 31      150       NA 104.6130435          NA   45.38696    65.29279
#> 32      168       50 123.1587302 -12.2162162   44.84127    62.21622
#> 33      168       75 130.7384615   8.6770428   37.26154    66.32296
#> 34      119       50  81.7384615 -16.3229572   37.26154    66.32296
#> 35      168       30 130.7384615 -36.3229572   37.26154    66.32296
#> 36      168        0 124.7623318 -63.6757991   43.23767    63.67580
#> 37      168       30 123.1587302 -32.2162162   44.84127    62.21622
#> 38       28       90 -15.2376682  26.3242009   43.23767    63.67580
#> 39      168       15 122.6130435 -50.2927928   45.38696    65.29279
#> 40       30       70 -15.3869565   4.7072072   45.38696    65.29279
#> 41       14       85 -29.2376682  21.3242009   43.23767    63.67580
#> 42      168       NA 122.6130435          NA   45.38696    65.29279
#> 43      168        0 130.7384615 -66.3229572   37.26154    66.32296
#> 44       50       30  12.7384615 -36.3229572   37.26154    66.32296
#> 45      168       60 124.7623318  -3.6757991   43.23767    63.67580
#> 46       24       25 -13.2615385 -41.3229572   37.26154    66.32296
#> 47      168       NA 122.6130435          NA   45.38696    65.29279
#> 48       42       30   4.7384615 -36.3229572   37.26154    66.32296
#> 49      154       85 109.1587302  22.7837838   44.84127    62.21622
#> 50       60        0  15.1587302 -62.2162162   44.84127    62.21622
#> 51      168        0 122.6130435 -65.2927928   45.38696    65.29279
#> 52      168        0 124.7623318 -63.6757991   43.23767    63.67580
#> 53       24       10 -13.2615385 -56.3229572   37.26154    66.32296
#> 54      168       10 124.7623318 -53.6757991   43.23767    63.67580
#> 55      150       20 104.6130435 -45.2927928   45.38696    65.29279
#> 56      168        0 123.1587302 -62.2162162   44.84127    62.21622
#> 57      168        0 130.7384615 -66.3229572   37.26154    66.32296
#> 58      168       50 122.6130435 -15.2927928   45.38696    65.29279
#> 59      168       85 124.7623318  21.3242009   43.23767    63.67580
#> 60      168        5 123.1587302 -57.2162162   44.84127    62.21622
#> 61      128        0  90.7384615 -66.3229572   37.26154    66.32296
#> 62      168       40 124.7623318 -23.6757991   43.23767    63.67580
#> 63       11       50 -34.3869565 -15.2927928   45.38696    65.29279
#> 64       50       80  12.7384615  13.6770428   37.26154    66.32296
#> 65       80       70  42.7384615   3.6770428   37.26154    66.32296
#> 66       15       70 -29.8412698   7.7837838   44.84127    62.21622
#> 67        7       65 -38.3869565  -0.2927928   45.38696    65.29279
#> 68       21       90 -16.2615385  23.6770428   37.26154    66.32296
#> 69      168        0 130.7384615 -66.3229572   37.26154    66.32296
#> 70       24       50 -20.8412698 -12.2162162   44.84127    62.21622
#> 71        6       70 -38.8412698   7.7837838   44.84127    62.21622
#> 72       30       70 -14.8412698   7.7837838   44.84127    62.21622
#> 73      168       45 130.7384615 -21.3229572   37.26154    66.32296
#> 74       42       40   4.7384615 -26.3229572   37.26154    66.32296
#> 75       30       20  -7.2615385 -46.3229572   37.26154    66.32296
#> 76       85       85  47.7384615  18.6770428   37.26154    66.32296
#> 77       35       15  -2.2615385 -51.3229572   37.26154    66.32296
#> 78       70       85  24.6130435  19.7072072   45.38696    65.29279
#> 79        9       80 -28.2615385  13.6770428   37.26154    66.32296
#> 80      168       20 122.6130435 -45.2927928   45.38696    65.29279
#> 81       77       NA  33.7623318          NA   43.23767    63.67580
#> 82       24       85 -13.2615385  18.6770428   37.26154    66.32296
#> 83       91       45  47.7623318 -18.6757991   43.23767    63.67580
#> 84        6       NA -39.3869565          NA   45.38696    65.29279
#> 85       22       50 -22.8412698 -12.2162162   44.84127    62.21622
#> 86      168        0 123.1587302 -62.2162162   44.84127    62.21622
#> 87      168       10 123.1587302 -52.2162162   44.84127    62.21622
#> 88      168       50 124.7623318 -13.6757991   43.23767    63.67580
#> 89      168       35 124.7623318 -28.6757991   43.23767    63.67580
#> 90       50       50   5.1587302 -12.2162162   44.84127    62.21622
#> 91       40       75  -5.3869565   9.7072072   45.38696    65.29279
#> 92        9       95 -35.8412698  32.7837838   44.84127    62.21622
#> 93       25       95 -19.8412698  32.7837838   44.84127    62.21622
#> 94       14      100 -23.2615385  33.6770428   37.26154    66.32296
#> 95       49       80   4.1587302  17.7837838   44.84127    62.21622
#> 96        5       90 -38.2376682  26.3242009   43.23767    63.67580
#> 97        7       75 -36.2376682  11.3242009   43.23767    63.67580
#> 98       21       60 -24.3869565  -5.2927928   45.38696    65.29279
#> 99       24       NA -19.2376682          NA   43.23767    63.67580
#> 100       7       60 -36.2376682  -3.6757991   43.23767    63.67580
#> 101     168       65 124.7623318   1.3242009   43.23767    63.67580
#> 102     168       75 122.6130435   9.7072072   45.38696    65.29279
#> 103       4       80 -33.2615385  13.6770428   37.26154    66.32296
#> 104     168        0 124.7623318 -63.6757991   43.23767    63.67580
#> 105     168       30 124.7623318 -33.6757991   43.23767    63.67580
#> 106      15       65 -28.2376682   1.3242009   43.23767    63.67580
#> 107     168       80 124.7623318  16.3242009   43.23767    63.67580
#> 108     168       90 123.1587302  27.7837838   44.84127    62.21622
#> 109      20       65 -24.8412698   2.7837838   44.84127    62.21622
#> 110      59       55  15.7623318  -8.6757991   43.23767    63.67580
#> 111      24       50 -13.2615385 -16.3229572   37.26154    66.32296
#> 112       7       75 -30.2615385   8.6770428   37.26154    66.32296
#> 113     100       35  54.6130435 -30.2927928   45.38696    65.29279
#> 114     168       15 123.1587302 -47.2162162   44.84127    62.21622
#> 115     168       25 122.6130435 -40.2927928   45.38696    65.29279
#> 116      28       80 -15.2376682  16.3242009   43.23767    63.67580
#> 117      20       80 -23.2376682  16.3242009   43.23767    63.67580
#> 118      50       80   6.7623318  16.3242009   43.23767    63.67580
#> 119      89       30  45.7623318 -33.6757991   43.23767    63.67580
#> 120     168       70 124.7623318   6.3242009   43.23767    63.67580
#> 121      12       55 -31.2376682  -8.6757991   43.23767    63.67580
#> 122      24       55 -20.8412698  -7.2162162   44.84127    62.21622
#> 123      91        5  47.7623318 -58.6757991   43.23767    63.67580
#> 124     168       35 123.1587302 -27.2162162   44.84127    62.21622
#> 125     168      100 124.7623318  36.3242009   43.23767    63.67580
#> 126     168        5 124.7623318 -58.6757991   43.23767    63.67580
#> 127      11      100 -33.8412698  37.7837838   44.84127    62.21622
#> 128      35        0  -9.8412698 -62.2162162   44.84127    62.21622
#> 129      10       80 -34.8412698  17.7837838   44.84127    62.21622
#> 130     125       45  81.7623318 -18.6757991   43.23767    63.67580
#> 131     140       80  95.1587302  17.7837838   44.84127    62.21622
#> 132      28       70  -9.2615385   3.6770428   37.26154    66.32296
#> 133      84        0  39.1587302 -62.2162162   44.84127    62.21622
#> 134      15       75 -28.2376682  11.3242009   43.23767    63.67580
#> 135      15       60 -28.2376682  -3.6757991   43.23767    63.67580
#> 136      14       65 -31.3869565  -0.2927928   45.38696    65.29279
#> 137      24       10 -20.8412698 -52.2162162   44.84127    62.21622
#> 138       4       75 -41.3869565   9.7072072   45.38696    65.29279
#> 139     140        0  94.6130435 -65.2927928   45.38696    65.29279
#> 140     168       80 123.1587302  17.7837838   44.84127    62.21622
#> 141       6       55 -31.2615385 -11.3229572   37.26154    66.32296
#> 142      10       45 -33.2376682 -18.6757991   43.23767    63.67580
#> 143      20       60 -23.2376682  -3.6757991   43.23767    63.67580
#> 144      15       60 -22.2615385  -6.3229572   37.26154    66.32296
#> 145      65       35  27.7384615 -31.3229572   37.26154    66.32296
#> 146      35       40 -10.3869565 -25.2927928   45.38696    65.29279
#> 147     105       10  60.1587302 -52.2162162   44.84127    62.21622
#> 148      50       30   4.6130435 -35.2927928   45.38696    65.29279
#> 149     168       45 123.1587302 -17.2162162   44.84127    62.21622
#> 150      77       50  39.7384615 -16.3229572   37.26154    66.32296
#> 151     168       15 130.7384615 -51.3229572   37.26154    66.32296
#> 152      42       10  -3.3869565 -55.2927928   45.38696    65.29279
#> 153       4       75 -40.8412698  12.7837838   44.84127    62.21622
#> 154     168        5 122.6130435 -60.2927928   45.38696    65.29279
#> 155     168        0 130.7384615 -66.3229572   37.26154    66.32296
#> 156      42       75  -2.8412698  12.7837838   44.84127    62.21622
#> 157       6       60 -39.3869565  -5.2927928   45.38696    65.29279
#> 158     168        5 130.7384615 -61.3229572   37.26154    66.32296
#> 159      70       60  24.6130435  -5.2927928   45.38696    65.29279
#> 160      15       45 -28.2376682 -18.6757991   43.23767    63.67580
#> 161      30       65 -13.2376682   1.3242009   43.23767    63.67580
#> 162       9       50 -28.2615385 -16.3229572   37.26154    66.32296
#> 163      16       30 -21.2615385 -36.3229572   37.26154    66.32296
#> 164      35        0  -2.2615385 -66.3229572   37.26154    66.32296
#> 165      28       75 -15.2376682  11.3242009   43.23767    63.67580
#> 166     168        0 124.7623318 -63.6757991   43.23767    63.67580
#> 167       9       70 -28.2615385   3.6770428   37.26154    66.32296
#> 168     168        5 122.6130435 -60.2927928   45.38696    65.29279
#> 169      15       75 -29.8412698  12.7837838   44.84127    62.21622
#> 170       6       30 -37.2376682 -33.6757991   43.23767    63.67580
#> 171      14       90 -30.8412698  27.7837838   44.84127    62.21622
#> 172      35       70  -8.2376682   6.3242009   43.23767    63.67580
#> 173       7       75 -36.2376682  11.3242009   43.23767    63.67580
#> 174      12       75 -31.2376682  11.3242009   43.23767    63.67580
#> 175      50       35   5.1587302 -27.2162162   44.84127    62.21622
#> 176       6       50 -37.2376682 -13.6757991   43.23767    63.67580
#> 177      22       65 -21.2376682   1.3242009   43.23767    63.67580
#> 178      35       45  -8.2376682 -18.6757991   43.23767    63.67580
#> 179       6       55 -37.2376682  -8.6757991   43.23767    63.67580
#> 180     168       15 124.7623318 -48.6757991   43.23767    63.67580
#> 181      28        5 -15.2376682 -58.6757991   43.23767    63.67580
#> 182      10       85 -34.8412698  22.7837838   44.84127    62.21622
#> 183      91       70  45.6130435   4.7072072   45.38696    65.29279
#> 184       8       60 -35.2376682  -3.6757991   43.23767    63.67580
#> 185     168       15 124.7623318 -48.6757991   43.23767    63.67580
#> 186      24       15 -21.3869565 -50.2927928   45.38696    65.29279
#> 187     168        5 124.7623318 -58.6757991   43.23767    63.67580
#> 188     168       45 130.7384615 -21.3229572   37.26154    66.32296
#> 189      14       85 -29.2376682  21.3242009   43.23767    63.67580
#> 190      28       45 -16.8412698 -17.2162162   44.84127    62.21622
#> 191      16       50 -28.8412698 -12.2162162   44.84127    62.21622
#> 192     168       30 124.7623318 -33.6757991   43.23767    63.67580
#> 193       6       95 -31.2615385  28.6770428   37.26154    66.32296
#> 194     168        0 122.6130435 -65.2927928   45.38696    65.29279
#> 195      28       75  -9.2615385   8.6770428   37.26154    66.32296
#> 196     160       95 122.7384615  28.6770428   37.26154    66.32296
#> 197      39       55  -6.3869565 -10.2927928   45.38696    65.29279
#> 198      15       NA -29.8412698          NA   44.84127    62.21622
#> 199      10       NA -34.8412698          NA   44.84127    62.21622
#> 200      10       85 -35.3869565  19.7072072   45.38696    65.29279
#> 201      17       90 -26.2376682  26.3242009   43.23767    63.67580
#> 202     168       10 124.7623318 -53.6757991   43.23767    63.67580
#> 203      70       65  32.7384615  -1.3229572   37.26154    66.32296
#> 204      50       NA  12.7384615          NA   37.26154    66.32296
#> 205      12       75 -33.3869565   9.7072072   45.38696    65.29279
#> 206      10       90 -35.3869565  24.7072072   45.38696    65.29279
#> 207     168        0 122.6130435 -65.2927928   45.38696    65.29279
#> 208     168       25 123.1587302 -37.2162162   44.84127    62.21622
#> 209     168       75 130.7384615   8.6770428   37.26154    66.32296
#> 210      28       55  -9.2615385 -11.3229572   37.26154    66.32296
#> 211      12       65 -32.8412698   2.7837838   44.84127    62.21622
#> 212       8       55 -37.3869565 -10.2927928   45.38696    65.29279
#> 213      21       70 -22.2376682   6.3242009   43.23767    63.67580
#> 214      24       30 -20.8412698 -32.2162162   44.84127    62.21622
#> 215      15       85 -30.3869565  19.7072072   45.38696    65.29279
#> 216       8       75 -37.3869565   9.7072072   45.38696    65.29279
#> 217      16       40 -29.3869565 -25.2927928   45.38696    65.29279
#> 218      56       40  11.1587302 -22.2162162   44.84127    62.21622
#> 219      42       75  -3.3869565   9.7072072   45.38696    65.29279
#> 220       4      100 -41.3869565  34.7072072   45.38696    65.29279
#> 221      25       60 -12.2615385  -6.3229572   37.26154    66.32296
#> 222      35       40  -2.2615385 -26.3229572   37.26154    66.32296
#> 223      30       70 -15.3869565   4.7072072   45.38696    65.29279
#> 224       6       65 -37.2376682   1.3242009   43.23767    63.67580
#> 225     110       15  72.7384615 -51.3229572   37.26154    66.32296
#> 226      30       60 -15.3869565  -5.2927928   45.38696    65.29279
#> 227      24       45 -21.3869565 -20.2927928   45.38696    65.29279
#> 228      14       65 -31.3869565  -0.2927928   45.38696    65.29279
#> 229       4       95 -40.8412698  32.7837838   44.84127    62.21622
#> 230      20      100 -17.2615385  33.6770428   37.26154    66.32296
#> 231      10       60 -35.3869565  -5.2927928   45.38696    65.29279
#> 232       7       75 -36.2376682  11.3242009   43.23767    63.67580
#> 233     161       15 123.7384615 -51.3229572   37.26154    66.32296
#> 234      28       80 -15.2376682  16.3242009   43.23767    63.67580
#> 235      14       45 -31.3869565 -20.2927928   45.38696    65.29279
#> 236       4       60 -33.2615385  -6.3229572   37.26154    66.32296
#> 237      50       95  12.7384615  28.6770428   37.26154    66.32296
#> 238      10       90 -27.2615385  23.6770428   37.26154    66.32296
#> 239      18       95 -19.2615385  28.6770428   37.26154    66.32296
#> 240      15       85 -30.3869565  19.7072072   45.38696    65.29279
#> 241       6       95 -38.8412698  32.7837838   44.84127    62.21622
#> 242      17       70 -20.2615385   3.6770428   37.26154    66.32296
#> 243      14       70 -31.3869565   4.7072072   45.38696    65.29279
#> 244       5       85 -32.2615385  18.6770428   37.26154    66.32296
#> 245      10       65 -34.8412698   2.7837838   44.84127    62.21622
#> 246      30       75 -15.3869565   9.7072072   45.38696    65.29279
#> 247      10       95 -27.2615385  28.6770428   37.26154    66.32296
#> 248      10      100 -33.2376682  36.3242009   43.23767    63.67580
#> 249      84       80  46.7384615  13.6770428   37.26154    66.32296
#> 250      10       60 -35.3869565  -5.2927928   45.38696    65.29279
#> 251       6      100 -37.2376682  36.3242009   43.23767    63.67580
#> 252      15       75 -30.3869565   9.7072072   45.38696    65.29279
#> 253      40      100  -4.8412698  37.7837838   44.84127    62.21622
#> 254      21       10 -23.8412698 -52.2162162   44.84127    62.21622
#> 255      11      100 -34.3869565  34.7072072   45.38696    65.29279
#> 256       8       75 -36.8412698  12.7837838   44.84127    62.21622
#> 257       5       95 -32.2615385  28.6770428   37.26154    66.32296
#> 258      12       15 -32.8412698 -47.2162162   44.84127    62.21622
#> 259      10       90 -34.8412698  27.7837838   44.84127    62.21622
#> 260      20       90 -25.3869565  24.7072072   45.38696    65.29279
#> 261      12       60 -32.8412698  -2.2162162   44.84127    62.21622
#> 262      24       30 -13.2615385 -36.3229572   37.26154    66.32296
#> 263      27       40 -10.2615385 -26.3229572   37.26154    66.32296
#> 264      14       80 -23.2615385  13.6770428   37.26154    66.32296
#> 265      18       75 -25.2376682  11.3242009   43.23767    63.67580
#> 266     168       75 122.6130435   9.7072072   45.38696    65.29279
#> 267      14       90 -31.3869565  24.7072072   45.38696    65.29279
#> 268      10       NA -33.2376682          NA   43.23767    63.67580
#> 269       6      100 -39.3869565  34.7072072   45.38696    65.29279
#> 270      21       65 -16.2615385  -1.3229572   37.26154    66.32296
#> 271      16       85 -21.2615385  18.6770428   37.26154    66.32296
#> 272      15       70 -22.2615385   3.6770428   37.26154    66.32296
#> 273      20       85 -25.3869565  19.7072072   45.38696    65.29279
#> 274      10       90 -35.3869565  24.7072072   45.38696    65.29279
#> 275      22       60 -23.3869565  -5.2927928   45.38696    65.29279
#> 276      35       60 -10.3869565  -5.2927928   45.38696    65.29279
#> 277      30       70  -7.2615385   3.6770428   37.26154    66.32296
#> 278      16       70 -21.2615385   3.6770428   37.26154    66.32296
#> 279      24       95 -20.8412698  32.7837838   44.84127    62.21622
#> 280     168       75 122.6130435   9.7072072   45.38696    65.29279
#> 281     168       90 130.7384615  23.6770428   37.26154    66.32296
#> 282      40       95  -5.3869565  29.7072072   45.38696    65.29279
#> 283      40      100  -5.3869565  34.7072072   45.38696    65.29279
#> 284      50      100   4.6130435  34.7072072   45.38696    65.29279
#> 285      20      100 -23.2376682  36.3242009   43.23767    63.67580
#> 286      20      100 -17.2615385  33.6770428   37.26154    66.32296
#> 287       6       NA -39.3869565          NA   45.38696    65.29279
#> 288       5       80 -40.3869565  14.7072072   45.38696    65.29279
#> 289      48       65   3.1587302   2.7837838   44.84127    62.21622
#> 290     168       25 122.6130435 -40.2927928   45.38696    65.29279
#> 291       6       90 -37.2376682  26.3242009   43.23767    63.67580
#> 292       8       65 -37.3869565  -0.2927928   45.38696    65.29279
#> 293      43       90   5.7384615  23.6770428   37.26154    66.32296
#> 294      90       55  45.1587302  -7.2162162   44.84127    62.21622
#> 295     100       60  55.1587302  -2.2162162   44.84127    62.21622
#> 296       8       95 -29.2615385  28.6770428   37.26154    66.32296
#> 297      15       70 -30.3869565   4.7072072   45.38696    65.29279
#> 298       5       80 -38.2376682  16.3242009   43.23767    63.67580
#> 299       8       80 -35.2376682  16.3242009   43.23767    63.67580
#> 300      10       95 -35.3869565  29.7072072   45.38696    65.29279
#> 301      30       50 -15.3869565 -15.2927928   45.38696    65.29279
#> 302     168       40 122.6130435 -25.2927928   45.38696    65.29279
#> 303      20       70 -25.3869565   4.7072072   45.38696    65.29279
#> 304      30       60  -7.2615385  -6.3229572   37.26154    66.32296
#> 305      30      100  -7.2615385  33.6770428   37.26154    66.32296
#> 306      12       75 -32.8412698  12.7837838   44.84127    62.21622
#> 307      30       55 -15.3869565 -10.2927928   45.38696    65.29279
#> 308      30       95 -14.8412698  32.7837838   44.84127    62.21622
#> 309      14       85 -23.2615385  18.6770428   37.26154    66.32296
#> 310      15       90 -22.2615385  23.6770428   37.26154    66.32296
#> 311      50       65   4.6130435  -0.2927928   45.38696    65.29279
#> 312      20       50 -23.2376682 -13.6757991   43.23767    63.67580
#> 313      25       55 -12.2615385 -11.3229572   37.26154    66.32296
#> 314      40       10  -5.3869565 -55.2927928   45.38696    65.29279
#> 315       9       80 -35.8412698  17.7837838   44.84127    62.21622
#> 316      18       60 -25.2376682  -3.6757991   43.23767    63.67580
#> 317      25       50 -20.3869565 -15.2927928   45.38696    65.29279
#> 318     100       45  54.6130435 -20.2927928   45.38696    65.29279
#> 319       6       95 -38.8412698  32.7837838   44.84127    62.21622
#> 320      25       95 -12.2615385  28.6770428   37.26154    66.32296
#> 321      15       75 -22.2615385   8.6770428   37.26154    66.32296
#> 322      20      100 -25.3869565  34.7072072   45.38696    65.29279
#> 323      10      100 -27.2615385  33.6770428   37.26154    66.32296
#> 324      28        0 -16.8412698 -62.2162162   44.84127    62.21622
#> 325      10       85 -34.8412698  22.7837838   44.84127    62.21622
#> 326      30       60  -7.2615385  -6.3229572   37.26154    66.32296
#> 327       6       70 -37.2376682   6.3242009   43.23767    63.67580
#> 328      40       55   2.7384615 -11.3229572   37.26154    66.32296
#> 329       7      100 -38.3869565  34.7072072   45.38696    65.29279
#> 330       8      100 -35.2376682  36.3242009   43.23767    63.67580
#> 331      15      100 -22.2615385  33.6770428   37.26154    66.32296
#> 332       4       15 -40.8412698 -47.2162162   44.84127    62.21622
#> 333       4       50 -33.2615385 -16.3229572   37.26154    66.32296
#> 334     168        0 122.6130435 -65.2927928   45.38696    65.29279
#> 335       7       85 -36.2376682  21.3242009   43.23767    63.67580
#> 336      22       75 -23.3869565   9.7072072   45.38696    65.29279
#> 337      30       50 -13.2376682 -13.6757991   43.23767    63.67580
#> 338      15       65 -29.8412698   2.7837838   44.84127    62.21622
#> 339      30       75 -15.3869565   9.7072072   45.38696    65.29279
#> 340      20      100 -25.3869565  34.7072072   45.38696    65.29279
#> 341      25      100 -19.8412698  37.7837838   44.84127    62.21622
#> 342      20       90 -17.2615385  23.6770428   37.26154    66.32296
#> 343      20      100 -24.8412698  37.7837838   44.84127    62.21622
#> 344      25       95 -18.2376682  31.3242009   43.23767    63.67580
#> 345      14       55 -29.2376682  -8.6757991   43.23767    63.67580
#> 346      30       80 -13.2376682  16.3242009   43.23767    63.67580
#> 347      20       80 -17.2615385  13.6770428   37.26154    66.32296
#> 348      15       50 -28.2376682 -13.6757991   43.23767    63.67580
#> 349       6      100 -39.3869565  34.7072072   45.38696    65.29279
#> 350       5       90 -32.2615385  23.6770428   37.26154    66.32296
#> 351      50       10   5.1587302 -52.2162162   44.84127    62.21622
#> 352       8      100 -29.2615385  33.6770428   37.26154    66.32296
#> 353      20       75 -17.2615385   8.6770428   37.26154    66.32296
#> 354      14       95 -30.8412698  32.7837838   44.84127    62.21622
#> 355      18       70 -26.8412698   7.7837838   44.84127    62.21622
#> 356      16       60 -27.2376682  -3.6757991   43.23767    63.67580
#> 357      20       35 -25.3869565 -30.2927928   45.38696    65.29279
#> 358      15       NA -22.2615385          NA   37.26154    66.32296
#> 359      25       65 -18.2376682   1.3242009   43.23767    63.67580
#> 360      18      100 -27.3869565  34.7072072   45.38696    65.29279
#> 361      22       55 -23.3869565 -10.2927928   45.38696    65.29279
#> 362      18       75 -19.2615385   8.6770428   37.26154    66.32296
#> 363      48       95   3.1587302  32.7837838   44.84127    62.21622
#> 364      60       70  22.7384615   3.6770428   37.26154    66.32296
#> 365      10       85 -35.3869565  19.7072072   45.38696    65.29279
#> 366       7      100 -30.2615385  33.6770428   37.26154    66.32296
#> 367       5      100 -40.3869565  34.7072072   45.38696    65.29279
#> 368      35       70  -2.2615385   3.6770428   37.26154    66.32296
#> 369      28       90  -9.2615385  23.6770428   37.26154    66.32296
#> 370       5       90 -32.2615385  23.6770428   37.26154    66.32296
#> 371      25       90 -12.2615385  23.6770428   37.26154    66.32296
#> 372      40       50   2.7384615 -16.3229572   37.26154    66.32296
#> 373      49       25   5.7623318 -38.6757991   43.23767    63.67580
#> 374       4       95 -33.2615385  28.6770428   37.26154    66.32296
#> 375      70       90  25.1587302  27.7837838   44.84127    62.21622
#> 376       6       65 -38.8412698   2.7837838   44.84127    62.21622
#> 377       7       65 -38.3869565  -0.2927928   45.38696    65.29279
#> 378      40       85  -4.8412698  22.7837838   44.84127    62.21622
#> 379      50       35   4.6130435 -30.2927928   45.38696    65.29279
#> 380      30        5  -7.2615385 -61.3229572   37.26154    66.32296
#> 381      70       35  25.1587302 -27.2162162   44.84127    62.21622
#> 382      14       85 -30.8412698  22.7837838   44.84127    62.21622
#> 383      70       50  32.7384615 -16.3229572   37.26154    66.32296
#> 384       7       40 -36.2376682 -23.6757991   43.23767    63.67580
#> 385       6       70 -37.2376682   6.3242009   43.23767    63.67580
#> 386      14      100 -29.2376682  36.3242009   43.23767    63.67580
#> 387      10       95 -33.2376682  31.3242009   43.23767    63.67580
#> 388      25       20 -12.2615385 -46.3229572   37.26154    66.32296
#> 389       5       85 -39.8412698  22.7837838   44.84127    62.21622
#> 390      11       75 -26.2615385   8.6770428   37.26154    66.32296
#> 391     120       10  76.7623318 -53.6757991   43.23767    63.67580
#> 392      18       80 -25.2376682  16.3242009   43.23767    63.67580
#> 393       6      100 -39.3869565  34.7072072   45.38696    65.29279
#> 394      20       65 -25.3869565  -0.2927928   45.38696    65.29279
#> 395      15       60 -22.2615385  -6.3229572   37.26154    66.32296
#> 396      35       10  -2.2615385 -56.3229572   37.26154    66.32296
#> 397      15       55 -30.3869565 -10.2927928   45.38696    65.29279
#> 398      15       55 -29.8412698  -7.2162162   44.84127    62.21622
#> 399     120       25  75.1587302 -37.2162162   44.84127    62.21622
#> 400      28       65 -17.3869565  -0.2927928   45.38696    65.29279
#> 401      10       10 -33.2376682 -53.6757991   43.23767    63.67580
#> 402     120       55  74.6130435 -10.2927928   45.38696    65.29279
#> 403     100       40  54.6130435 -25.2927928   45.38696    65.29279
#> 404      18       80 -25.2376682  16.3242009   43.23767    63.67580
#> 405       8      100 -35.2376682  36.3242009   43.23767    63.67580
#> 406      40      100   2.7384615  33.6770428   37.26154    66.32296
#> 407     140       75  96.7623318  11.3242009   43.23767    63.67580
#> 408       6       85 -31.2615385  18.6770428   37.26154    66.32296
#> 409      11       35 -34.3869565 -30.2927928   45.38696    65.29279
#> 410      15       65 -28.2376682   1.3242009   43.23767    63.67580
#> 411      80       10  42.7384615 -56.3229572   37.26154    66.32296
#> 412       5       95 -39.8412698  32.7837838   44.84127    62.21622
#> 413       6       95 -37.2376682  31.3242009   43.23767    63.67580
#> 414      40       80  -3.2376682  16.3242009   43.23767    63.67580
#> 415       5       90 -32.2615385  23.6770428   37.26154    66.32296
#> 416       7       85 -37.8412698  22.7837838   44.84127    62.21622
#> 417       4       95 -39.2376682  31.3242009   43.23767    63.67580
#> 418      24       45 -19.2376682 -18.6757991   43.23767    63.67580
#> 419      28       15  -9.2615385 -51.3229572   37.26154    66.32296
#> 420      25       55 -20.3869565 -10.2927928   45.38696    65.29279
#> 421     140       50  94.6130435 -15.2927928   45.38696    65.29279
#> 422      14       70 -30.8412698   7.7837838   44.84127    62.21622
#> 423      40       15  -3.2376682 -48.6757991   43.23767    63.67580
#> 424       5       70 -39.8412698   7.7837838   44.84127    62.21622
#> 425      20       40 -24.8412698 -22.2162162   44.84127    62.21622
#> 426     168        5 130.7384615 -61.3229572   37.26154    66.32296
#> 427      40       70   2.7384615   3.6770428   37.26154    66.32296
#> 428      80       35  42.7384615 -31.3229572   37.26154    66.32296
#> 429     120       10  75.1587302 -52.2162162   44.84127    62.21622
#> 430     160       75 116.7623318  11.3242009   43.23767    63.67580
#> 431       7       95 -38.3869565  29.7072072   45.38696    65.29279
#> 432       7       70 -37.8412698   7.7837838   44.84127    62.21622
#> 433       4       80 -33.2615385  13.6770428   37.26154    66.32296
#> 434       6       95 -38.8412698  32.7837838   44.84127    62.21622
#> 435      14       85 -23.2615385  18.6770428   37.26154    66.32296
#> 436       7      100 -37.8412698  37.7837838   44.84127    62.21622
#> 437      28       75 -16.8412698  12.7837838   44.84127    62.21622
#> 438      25       30 -12.2615385 -36.3229572   37.26154    66.32296
#> 439      28       80 -17.3869565  14.7072072   45.38696    65.29279
#> 440       7       80 -30.2615385  13.6770428   37.26154    66.32296
#> 441      21       NA -23.8412698          NA   44.84127    62.21622
#> 442      30       50 -15.3869565 -15.2927928   45.38696    65.29279
#> 443      25       40 -12.2615385 -26.3229572   37.26154    66.32296
#> 444      65       85  27.7384615  18.6770428   37.26154    66.32296
#> 445      18       75 -25.2376682  11.3242009   43.23767    63.67580
#> 446      40       15  -5.3869565 -50.2927928   45.38696    65.29279
#> 447      20       65 -17.2615385  -1.3229572   37.26154    66.32296
#> 448      80       40  36.7623318 -23.6757991   43.23767    63.67580
#> 449       7       60 -38.3869565  -5.2927928   45.38696    65.29279
#> 450      50       60  12.7384615  -6.3229572   37.26154    66.32296
#> 451      30       85 -14.8412698  22.7837838   44.84127    62.21622
#> 452      10      100 -33.2376682  36.3242009   43.23767    63.67580
#> 453       8      100 -37.3869565  34.7072072   45.38696    65.29279
#> 454       6       95 -39.3869565  29.7072072   45.38696    65.29279
#> 455       6       80 -37.2376682  16.3242009   43.23767    63.67580
#> 456      42       35  -1.2376682 -28.6757991   43.23767    63.67580
#> 457      10       95 -34.8412698  32.7837838   44.84127    62.21622
#> 458      30       25 -13.2376682 -38.6757991   43.23767    63.67580
#> 459      15       95 -30.3869565  29.7072072   45.38696    65.29279
#> 460      10       95 -27.2615385  28.6770428   37.26154    66.32296
#> 461      10       80 -27.2615385  13.6770428   37.26154    66.32296
#> 462     130       75  86.7623318  11.3242009   43.23767    63.67580
#> 463     160        0 114.6130435 -65.2927928   45.38696    65.29279
#> 464     168       45 130.7384615 -21.3229572   37.26154    66.32296
#> 465      24       15 -21.3869565 -50.2927928   45.38696    65.29279
#> 466      24       15 -20.8412698 -47.2162162   44.84127    62.21622
#> 467      30       15  -7.2615385 -51.3229572   37.26154    66.32296
#> 468      20       90 -23.2376682  26.3242009   43.23767    63.67580
#> 469      10       90 -27.2615385  23.6770428   37.26154    66.32296
#> 470       7       95 -37.8412698  32.7837838   44.84127    62.21622
#> 471     120       15  74.6130435 -50.2927928   45.38696    65.29279
#> 472       6       95 -37.2376682  31.3242009   43.23767    63.67580
#> 473       6       85 -37.2376682  21.3242009   43.23767    63.67580
#> 474      10      100 -33.2376682  36.3242009   43.23767    63.67580
#> 475      20      100 -17.2615385  33.6770428   37.26154    66.32296
#> 476       5       NA -40.3869565          NA   45.38696    65.29279
#> 477      60       35  22.7384615 -31.3229572   37.26154    66.32296
#> 478      20       90 -25.3869565  24.7072072   45.38696    65.29279
#> 479       6      100 -37.2376682  36.3242009   43.23767    63.67580
#> 480      10       75 -35.3869565   9.7072072   45.38696    65.29279
#> 481      84       10  46.7384615 -56.3229572   37.26154    66.32296
#> 482       8       85 -29.2615385  18.6770428   37.26154    66.32296
#> 483     168       65 122.6130435  -0.2927928   45.38696    65.29279
#> 484      40       55  -4.8412698  -7.2162162   44.84127    62.21622
#> 485      40       55   2.7384615 -11.3229572   37.26154    66.32296
#> 486      20       55 -17.2615385 -11.3229572   37.26154    66.32296
#> 487      56       60  11.1587302  -2.2162162   44.84127    62.21622
#> 488       6      100 -37.2376682  36.3242009   43.23767    63.67580
#> 489       7      100 -38.3869565  34.7072072   45.38696    65.29279
#> 490      12       80 -33.3869565  14.7072072   45.38696    65.29279
#> 491      10       75 -27.2615385   8.6770428   37.26154    66.32296
#> 492      14       75 -29.2376682  11.3242009   43.23767    63.67580
#> 493      28       45  -9.2615385 -21.3229572   37.26154    66.32296
#> 494      12       75 -25.2615385   8.6770428   37.26154    66.32296
#> 495      28       65  -9.2615385  -1.3229572   37.26154    66.32296
#> 496      11       75 -34.3869565   9.7072072   45.38696    65.29279
#> 497      16       85 -29.3869565  19.7072072   45.38696    65.29279
#> 498      12       65 -25.2615385  -1.3229572   37.26154    66.32296
#> 499      22       65 -22.8412698   2.7837838   44.84127    62.21622
#> 500      17       95 -28.3869565  29.7072072   45.38696    65.29279
#> 501      16       85 -29.3869565  19.7072072   45.38696    65.29279
#> 502      50        0   4.6130435 -65.2927928   45.38696    65.29279
#> 503       6       85 -39.3869565  19.7072072   45.38696    65.29279
#> 504       5       75 -38.2376682  11.3242009   43.23767    63.67580
#> 505      45       10   1.7623318 -53.6757991   43.23767    63.67580
#> 506      16       40 -21.2615385 -26.3229572   37.26154    66.32296
#> 507      15       65 -30.3869565  -0.2927928   45.38696    65.29279
#> 508      20       45 -23.2376682 -18.6757991   43.23767    63.67580
#> 509      20       55 -24.8412698  -7.2162162   44.84127    62.21622
#> 510       8       45 -29.2615385 -21.3229572   37.26154    66.32296
#> 511       8       90 -35.2376682  26.3242009   43.23767    63.67580
#> 512      15       60 -29.8412698  -2.2162162   44.84127    62.21622
#> 513      10       50 -35.3869565 -15.2927928   45.38696    65.29279
#> 514      15       90 -22.2615385  23.6770428   37.26154    66.32296
#> 515      27       80 -17.8412698  17.7837838   44.84127    62.21622
#> 516      14       70 -29.2376682   6.3242009   43.23767    63.67580
#> 517      28       50  -9.2615385 -16.3229572   37.26154    66.32296
#> 518     168       20 124.7623318 -43.6757991   43.23767    63.67580
#> 519     168        0 123.1587302 -62.2162162   44.84127    62.21622
#> 520      21       95 -24.3869565  29.7072072   45.38696    65.29279
#> 521      12       95 -25.2615385  28.6770428   37.26154    66.32296
#> 522      62       55  18.7623318  -8.6757991   43.23767    63.67580
#> 523      20       85 -17.2615385  18.6770428   37.26154    66.32296
#> 524       7       80 -38.3869565  14.7072072   45.38696    65.29279
#> 525      10       80 -34.8412698  17.7837838   44.84127    62.21622
#> 526      20       80 -23.2376682  16.3242009   43.23767    63.67580
#> 527       8       90 -36.8412698  27.7837838   44.84127    62.21622
#> 528       9       90 -36.3869565  24.7072072   45.38696    65.29279
#> 529      12       90 -33.3869565  24.7072072   45.38696    65.29279
#> 530      10       90 -27.2615385  23.6770428   37.26154    66.32296
#> 531      35       45  -2.2615385 -21.3229572   37.26154    66.32296
#> 532       5      100 -39.8412698  37.7837838   44.84127    62.21622
#> 533      18       45 -25.2376682 -18.6757991   43.23767    63.67580
#> 534      15       90 -28.2376682  26.3242009   43.23767    63.67580
#> 535       6       95 -39.3869565  29.7072072   45.38696    65.29279
#> 536       8      100 -35.2376682  36.3242009   43.23767    63.67580
#> 537      12      100 -25.2615385  33.6770428   37.26154    66.32296
#> 538      25        0 -12.2615385 -66.3229572   37.26154    66.32296
#> 539      10       60 -34.8412698  -2.2162162   44.84127    62.21622
#> 540      40       NA   2.7384615          NA   37.26154    66.32296
#> 541      20       45 -24.8412698 -17.2162162   44.84127    62.21622
#> 542       6       75 -31.2615385   8.6770428   37.26154    66.32296
#> 543     168       80 122.6130435  14.7072072   45.38696    65.29279
#> 544       4      100 -39.2376682  36.3242009   43.23767    63.67580
#> 545     168       95 123.1587302  32.7837838   44.84127    62.21622
#> 546      24       80 -13.2615385  13.6770428   37.26154    66.32296
#> 547      25       65 -19.8412698   2.7837838   44.84127    62.21622
#> 548      40       25  -3.2376682 -38.6757991   43.23767    63.67580
#> 549      18       75 -25.2376682  11.3242009   43.23767    63.67580
#> 550      20       75 -25.3869565   9.7072072   45.38696    65.29279
#> 551      40       55  -3.2376682  -8.6757991   43.23767    63.67580
#> 552       6      100 -39.3869565  34.7072072   45.38696    65.29279
#> 553       5      100 -40.3869565  34.7072072   45.38696    65.29279
#> 554      30      100 -15.3869565  34.7072072   45.38696    65.29279
#> 555      14       90 -30.8412698  27.7837838   44.84127    62.21622
#> 556       8      100 -29.2615385  33.6770428   37.26154    66.32296
#> 557      28       15 -17.3869565 -50.2927928   45.38696    65.29279
#> 558      45        0   1.7623318 -63.6757991   43.23767    63.67580
#> 559      40       15  -3.2376682 -48.6757991   43.23767    63.67580
#> 560      30       55 -13.2376682  -8.6757991   43.23767    63.67580
#> 561      28       35 -16.8412698 -27.2162162   44.84127    62.21622
#> 562      50       60   6.7623318  -3.6757991   43.23767    63.67580
#> 563      84       35  39.1587302 -27.2162162   44.84127    62.21622
#> 564      12       75 -25.2615385   8.6770428   37.26154    66.32296
#> 565      40       50   2.7384615 -16.3229572   37.26154    66.32296
#> 566      10       90 -35.3869565  24.7072072   45.38696    65.29279
#> 567      15      100 -28.2376682  36.3242009   43.23767    63.67580
#> 568      40       65   2.7384615  -1.3229572   37.26154    66.32296
#> 569      24       50 -19.2376682 -13.6757991   43.23767    63.67580
#> 570     168        5 123.1587302 -57.2162162   44.84127    62.21622
#> 571     160       50 122.7384615 -16.3229572   37.26154    66.32296
#> 572     162        5 124.7384615 -61.3229572   37.26154    66.32296
#> 573     100        0  54.6130435 -65.2927928   45.38696    65.29279
#> 574     110       45  65.1587302 -17.2162162   44.84127    62.21622
#> 575     140       10  95.1587302 -52.2162162   44.84127    62.21622
#> 576      25       65 -12.2615385  -1.3229572   37.26154    66.32296
#> 577      15       45 -22.2615385 -21.3229572   37.26154    66.32296
#> 578      35       95 -10.3869565  29.7072072   45.38696    65.29279
#> 579      30       45 -14.8412698 -17.2162162   44.84127    62.21622
#> 580      40       65  -5.3869565  -0.2927928   45.38696    65.29279
#> 581      10        0 -33.2376682 -63.6757991   43.23767    63.67580
#> 582      25       95 -20.3869565  29.7072072   45.38696    65.29279
#> 583      12       80 -32.8412698  17.7837838   44.84127    62.21622
#> 584      35       65  -2.2615385  -1.3229572   37.26154    66.32296
#> 585      10      100 -27.2615385  33.6770428   37.26154    66.32296
#> 586      30      100 -13.2376682  36.3242009   43.23767    63.67580
#> 587      10       95 -27.2615385  28.6770428   37.26154    66.32296
#> 588     100        0  54.6130435 -65.2927928   45.38696    65.29279
#> 589      12       50 -31.2376682 -13.6757991   43.23767    63.67580
#> 590      56       40  18.7384615 -26.3229572   37.26154    66.32296
#> 591      40       80   2.7384615  13.6770428   37.26154    66.32296
#> 592      30        0 -13.2376682 -63.6757991   43.23767    63.67580
#> 593      60       30  15.1587302 -32.2162162   44.84127    62.21622
#> 594     100       45  56.7623318 -18.6757991   43.23767    63.67580
#> 595      20       35 -25.3869565 -30.2927928   45.38696    65.29279
#> 596      35        5  -9.8412698 -57.2162162   44.84127    62.21622
#> 597     168       50 122.6130435 -15.2927928   45.38696    65.29279
#> 598      22       90 -23.3869565  24.7072072   45.38696    65.29279
#> 599      60        0  22.7384615 -66.3229572   37.26154    66.32296
#> 600      24       10 -19.2376682 -53.6757991   43.23767    63.67580
#> 601      20       50 -23.2376682 -13.6757991   43.23767    63.67580
#> 602      70       10  32.7384615 -56.3229572   37.26154    66.32296
#> 603      25       65 -12.2615385  -1.3229572   37.26154    66.32296
#> 604       6      100 -31.2615385  33.6770428   37.26154    66.32296
#> 605      18       95 -19.2615385  28.6770428   37.26154    66.32296
#> 606      10       95 -33.2376682  31.3242009   43.23767    63.67580
#> 607      15      100 -22.2615385  33.6770428   37.26154    66.32296
#> 608      20       95 -17.2615385  28.6770428   37.26154    66.32296
#> 609      20       90 -24.8412698  27.7837838   44.84127    62.21622
#> 610      10       90 -33.2376682  26.3242009   43.23767    63.67580
#> 611      22       75 -22.8412698  12.7837838   44.84127    62.21622
#> 612      15       50 -30.3869565 -15.2927928   45.38696    65.29279
#> 613      48       45   3.1587302 -17.2162162   44.84127    62.21622
#> 614      80       30  35.1587302 -32.2162162   44.84127    62.21622
#> 615      77       85  39.7384615  18.6770428   37.26154    66.32296
#> 616       6       85 -39.3869565  19.7072072   45.38696    65.29279
#> 617       6       65 -31.2615385  -1.3229572   37.26154    66.32296
#> 618       8       85 -29.2615385  18.6770428   37.26154    66.32296
#> 619      20       80 -24.8412698  17.7837838   44.84127    62.21622
#> 620      20       40 -25.3869565 -25.2927928   45.38696    65.29279
#> 621       8       85 -36.8412698  22.7837838   44.84127    62.21622
#> 622       6       95 -37.2376682  31.3242009   43.23767    63.67580
#> 623       8       85 -29.2615385  18.6770428   37.26154    66.32296
#> 624      15       45 -28.2376682 -18.6757991   43.23767    63.67580
#> 625      10       60 -27.2615385  -6.3229572   37.26154    66.32296
#> 626      10       85 -27.2615385  18.6770428   37.26154    66.32296
#> 627      15       30 -22.2615385 -36.3229572   37.26154    66.32296
#> 628       8       25 -35.2376682 -38.6757991   43.23767    63.67580
#> 629       6       80 -31.2615385  13.6770428   37.26154    66.32296
#> 630      56       85  11.1587302  22.7837838   44.84127    62.21622
#> 631       6       85 -37.2376682  21.3242009   43.23767    63.67580
#> 632       8       25 -37.3869565 -40.2927928   45.38696    65.29279
#> 633      28       90 -17.3869565  24.7072072   45.38696    65.29279
#> 634      20       90 -17.2615385  23.6770428   37.26154    66.32296
#> 635      70       55  24.6130435 -10.2927928   45.38696    65.29279
#> 636       8      100 -29.2615385  33.6770428   37.26154    66.32296
#> 637       7       75 -36.2376682  11.3242009   43.23767    63.67580
#> 638      10       85 -34.8412698  22.7837838   44.84127    62.21622
#> 639      10       80 -33.2376682  16.3242009   43.23767    63.67580
#> 640      10       55 -34.8412698  -7.2162162   44.84127    62.21622
#> 641     168       85 130.7384615  18.6770428   37.26154    66.32296
#> 642      40       60  -4.8412698  -2.2162162   44.84127    62.21622
#> 643      40       65  -4.8412698   2.7837838   44.84127    62.21622
#> 644      30       60  -7.2615385  -6.3229572   37.26154    66.32296
#> 645      30       75  -7.2615385   8.6770428   37.26154    66.32296
#> 646      28       70 -16.8412698   7.7837838   44.84127    62.21622
#> 647      14       NA -31.3869565          NA   45.38696    65.29279
#> 648      40       40  -3.2376682 -23.6757991   43.23767    63.67580
#> 649      10       80 -35.3869565  14.7072072   45.38696    65.29279
#> 650       4       90 -33.2615385  23.6770428   37.26154    66.32296
#> 651      14       90 -31.3869565  24.7072072   45.38696    65.29279
#> 652      42       60   4.7384615  -6.3229572   37.26154    66.32296
#> 653      42       45  -1.2376682 -18.6757991   43.23767    63.67580
#> 654      65       20  19.6130435 -45.2927928   45.38696    65.29279
#> 655       5      100 -32.2615385  33.6770428   37.26154    66.32296
#> 656      10       95 -33.2376682  31.3242009   43.23767    63.67580
#> 657      45       65  -0.3869565  -0.2927928   45.38696    65.29279
#> 658      55       75   9.6130435   9.7072072   45.38696    65.29279
#> 659      50       75   4.6130435   9.7072072   45.38696    65.29279
#> 660      35       45  -8.2376682 -18.6757991   43.23767    63.67580
#> 661      40       80  -3.2376682  16.3242009   43.23767    63.67580
#> 662      15       90 -22.2615385  23.6770428   37.26154    66.32296
#> 663       8       95 -36.8412698  32.7837838   44.84127    62.21622
#> 664      25       60 -18.2376682  -3.6757991   43.23767    63.67580
#> 665       5       95 -39.8412698  32.7837838   44.84127    62.21622
#> 666       5       95 -40.3869565  29.7072072   45.38696    65.29279
#> 667       4       95 -39.2376682  31.3242009   43.23767    63.67580
#> 668      14       95 -30.8412698  32.7837838   44.84127    62.21622
#> 669      20      100 -24.8412698  37.7837838   44.84127    62.21622
#> 670      10       80 -27.2615385  13.6770428   37.26154    66.32296
#> 671      50       80   6.7623318  16.3242009   43.23767    63.67580
#> 672      16       75 -21.2615385   8.6770428   37.26154    66.32296
#> 673      22       70 -23.3869565   4.7072072   45.38696    65.29279
#> 674     100       NA  54.6130435          NA   45.38696    65.29279
#> 675     100       30  55.1587302 -32.2162162   44.84127    62.21622
#> 676      30       95 -14.8412698  32.7837838   44.84127    62.21622
#> 677     120       30  74.6130435 -35.2927928   45.38696    65.29279
#> 678     100       55  54.6130435 -10.2927928   45.38696    65.29279
#> 679      10       95 -35.3869565  29.7072072   45.38696    65.29279
#> 680     120       75  75.1587302  12.7837838   44.84127    62.21622
#> 681       6      100 -31.2615385  33.6770428   37.26154    66.32296
#> 682       6       95 -38.8412698  32.7837838   44.84127    62.21622
#> 683       5       90 -32.2615385  23.6770428   37.26154    66.32296
#> 684      10       65 -33.2376682   1.3242009   43.23767    63.67580
#> 685       9       90 -34.2376682  26.3242009   43.23767    63.67580
#> 686       9       95 -28.2615385  28.6770428   37.26154    66.32296
#> 687      12       95 -25.2615385  28.6770428   37.26154    66.32296
#> 688      20       90 -24.8412698  27.7837838   44.84127    62.21622
#> 689      10       95 -34.8412698  32.7837838   44.84127    62.21622
#> 690     160       70 122.7384615   3.6770428   37.26154    66.32296
#> 691     100       65  54.6130435  -0.2927928   45.38696    65.29279
#> 692      20       45 -24.8412698 -17.2162162   44.84127    62.21622
#> 693      56       50  18.7384615 -16.3229572   37.26154    66.32296
#> 694       7       95 -30.2615385  28.6770428   37.26154    66.32296
#> 695      35       10  -9.8412698 -52.2162162   44.84127    62.21622
#> 696     120       40  74.6130435 -25.2927928   45.38696    65.29279
#> 697      60       85  14.6130435  19.7072072   45.38696    65.29279
#> 698      10        5 -35.3869565 -60.2927928   45.38696    65.29279
#> 699      14       65 -23.2615385  -1.3229572   37.26154    66.32296
#> 700      21       10 -16.2615385 -56.3229572   37.26154    66.32296
#> 701      10       75 -27.2615385   8.6770428   37.26154    66.32296
#> 702       7      100 -38.3869565  34.7072072   45.38696    65.29279
#> 703      18       40 -25.2376682 -23.6757991   43.23767    63.67580
#> 704       4      100 -33.2615385  33.6770428   37.26154    66.32296
#> 705       8       90 -37.3869565  24.7072072   45.38696    65.29279
#> 706      10       45 -34.8412698 -17.2162162   44.84127    62.21622
#> 707       6       80 -37.2376682  16.3242009   43.23767    63.67580
#> 708      10       90 -33.2376682  26.3242009   43.23767    63.67580
#> 709      30       55  -7.2615385 -11.3229572   37.26154    66.32296
#> 710      10       95 -34.8412698  32.7837838   44.84127    62.21622
#> 711       9      100 -28.2615385  33.6770428   37.26154    66.32296
#> 712      36        0  -1.2615385 -66.3229572   37.26154    66.32296
#> 713      15       60 -28.2376682  -3.6757991   43.23767    63.67580
#> 714      35       NA  -9.8412698          NA   44.84127    62.21622
#> 715      21       65 -16.2615385  -1.3229572   37.26154    66.32296
#> 716     168       45 124.7623318 -18.6757991   43.23767    63.67580
#> 717     168       40 122.6130435 -25.2927928   45.38696    65.29279
#> 718      10       85 -35.3869565  19.7072072   45.38696    65.29279
#> 719       6      100 -37.2376682  36.3242009   43.23767    63.67580
#> 720      20       55 -23.2376682  -8.6757991   43.23767    63.67580
#> 721       6       95 -37.2376682  31.3242009   43.23767    63.67580
#> 722       8      100 -29.2615385  33.6770428   37.26154    66.32296
#> 723      15       90 -30.3869565  24.7072072   45.38696    65.29279
#> 724      84        5  39.1587302 -57.2162162   44.84127    62.21622
#> 725      45       75   0.1587302  12.7837838   44.84127    62.21622
#> 726      40       70   2.7384615   3.6770428   37.26154    66.32296
#> 727      90        0  44.6130435 -65.2927928   45.38696    65.29279
#> 728      35       90  -8.2376682  26.3242009   43.23767    63.67580
#> 729      70       65  25.1587302   2.7837838   44.84127    62.21622
#> 730       5       80 -38.2376682  16.3242009   43.23767    63.67580
#> 731      20       65 -24.8412698   2.7837838   44.84127    62.21622
#> 732      35       60 -10.3869565  -5.2927928   45.38696    65.29279
#> 733       8       90 -29.2615385  23.6770428   37.26154    66.32296
#> 734      30        5  -7.2615385 -61.3229572   37.26154    66.32296
#> 735       4       90 -39.2376682  26.3242009   43.23767    63.67580
#> 736      84       75  40.7623318  11.3242009   43.23767    63.67580
#> 737      10       90 -33.2376682  26.3242009   43.23767    63.67580
#> 738      25       75 -20.3869565   9.7072072   45.38696    65.29279
#> 739      60       95  15.1587302  32.7837838   44.84127    62.21622
#> 740       6      100 -38.8412698  37.7837838   44.84127    62.21622
#> 741      26        0 -11.2615385 -66.3229572   37.26154    66.32296
#> 742      12       90 -25.2615385  23.6770428   37.26154    66.32296
#> 743      25       70 -18.2376682   6.3242009   43.23767    63.67580
#> 744      15      100 -22.2615385  33.6770428   37.26154    66.32296
#> 745      50       25   5.1587302 -37.2162162   44.84127    62.21622
#> 746      18       85 -19.2615385  18.6770428   37.26154    66.32296
#> 747      12       75 -25.2615385   8.6770428   37.26154    66.32296
#> 748      22       75 -22.8412698  12.7837838   44.84127    62.21622
#> 749      21       55 -22.2376682  -8.6757991   43.23767    63.67580
#> 750      70       70  25.1587302   7.7837838   44.84127    62.21622
#> 751     168       30 123.1587302 -32.2162162   44.84127    62.21622
#> 752       5       15 -32.2615385 -51.3229572   37.26154    66.32296
#> 753      30       65 -13.2376682   1.3242009   43.23767    63.67580
#> 754      70       40  24.6130435 -25.2927928   45.38696    65.29279
#> 755     168       90 130.7384615  23.6770428   37.26154    66.32296
#> 756       9       95 -28.2615385  28.6770428   37.26154    66.32296
#> 757       6       90 -31.2615385  23.6770428   37.26154    66.32296
#> 758       4       35 -41.3869565 -30.2927928   45.38696    65.29279
#> 759      20       45 -24.8412698 -17.2162162   44.84127    62.21622
#> 760       8       85 -37.3869565  19.7072072   45.38696    65.29279
#> 761      14       80 -23.2615385  13.6770428   37.26154    66.32296
#> 762       9       50 -35.8412698 -12.2162162   44.84127    62.21622
#> 763       6       90 -31.2615385  23.6770428   37.26154    66.32296
#> 764      14       95 -31.3869565  29.7072072   45.38696    65.29279
#> 765       7       90 -30.2615385  23.6770428   37.26154    66.32296
#> 766       6      100 -37.2376682  36.3242009   43.23767    63.67580
#> 767      20       70 -24.8412698   7.7837838   44.84127    62.21622
#> 768      20       70 -17.2615385   3.6770428   37.26154    66.32296
#> 769      48       85   4.7623318  21.3242009   43.23767    63.67580
#> 770      10       90 -33.2376682  26.3242009   43.23767    63.67580
#> 771       5      100 -40.3869565  34.7072072   45.38696    65.29279
#> 772       6       85 -31.2615385  18.6770428   37.26154    66.32296
#> 773       8       75 -36.8412698  12.7837838   44.84127    62.21622
#> 774       8      100 -29.2615385  33.6770428   37.26154    66.32296
#> 775       8       65 -37.3869565  -0.2927928   45.38696    65.29279
#> 776       8       80 -37.3869565  14.7072072   45.38696    65.29279
#> 777       4       90 -41.3869565  24.7072072   45.38696    65.29279
#> 778       4       80 -39.2376682  16.3242009   43.23767    63.67580
#> 779       8       85 -37.3869565  19.7072072   45.38696    65.29279
#> 780      25       60 -12.2615385  -6.3229572   37.26154    66.32296
#> 781      20       90 -23.2376682  26.3242009   43.23767    63.67580
#> 782       6       85 -31.2615385  18.6770428   37.26154    66.32296
#> 783      21       65 -23.8412698   2.7837838   44.84127    62.21622
#> 784      28       75 -17.3869565   9.7072072   45.38696    65.29279
#> 785      70       45  26.7623318 -18.6757991   43.23767    63.67580
#> 786       8       70 -35.2376682   6.3242009   43.23767    63.67580
#> 787      21       20 -16.2615385 -46.3229572   37.26154    66.32296
#> 788      28       70 -17.3869565   4.7072072   45.38696    65.29279
#> 789      14       20 -30.8412698 -42.2162162   44.84127    62.21622
#> 790       4      100 -39.2376682  36.3242009   43.23767    63.67580
#> 791       5      100 -32.2615385  33.6770428   37.26154    66.32296
#> 792       6       95 -31.2615385  28.6770428   37.26154    66.32296
#> 793       7       90 -37.8412698  27.7837838   44.84127    62.21622
#> 794     140       40 102.7384615 -26.3229572   37.26154    66.32296
#> 795       4       90 -41.3869565  24.7072072   45.38696    65.29279
#> 796       8       90 -37.3869565  24.7072072   45.38696    65.29279
#> 797       7       90 -30.2615385  23.6770428   37.26154    66.32296
#> 798       8       95 -37.3869565  29.7072072   45.38696    65.29279
#> 799       7      100 -38.3869565  34.7072072   45.38696    65.29279
#> 800      30       60  -7.2615385  -6.3229572   37.26154    66.32296
#> 801      40       60  -3.2376682  -3.6757991   43.23767    63.67580
#> 802      50       45   5.1587302 -17.2162162   44.84127    62.21622
#> 803      35       55  -8.2376682  -8.6757991   43.23767    63.67580
#> 804      42       15  -1.2376682 -48.6757991   43.23767    63.67580
#> 805      40       85  -3.2376682  21.3242009   43.23767    63.67580
#> 806     168       85 123.1587302  22.7837838   44.84127    62.21622
#> 807     150       80 105.1587302  17.7837838   44.84127    62.21622
#> 808     168       60 122.6130435  -5.2927928   45.38696    65.29279
#> 809     168       40 124.7623318 -23.6757991   43.23767    63.67580
#> 810     168       45 124.7623318 -18.6757991   43.23767    63.67580
#> 811      14       60 -30.8412698  -2.2162162   44.84127    62.21622
#> 812       6       85 -38.8412698  22.7837838   44.84127    62.21622
#> 813       8       70 -35.2376682   6.3242009   43.23767    63.67580
#> 814      22       55 -22.8412698  -7.2162162   44.84127    62.21622
#> 815      10       95 -35.3869565  29.7072072   45.38696    65.29279
#> 816       6       90 -38.8412698  27.7837838   44.84127    62.21622
#> 817      30       90 -14.8412698  27.7837838   44.84127    62.21622
#> 818       8       90 -35.2376682  26.3242009   43.23767    63.67580
#> 819      10      100 -33.2376682  36.3242009   43.23767    63.67580
#> 820      10       65 -27.2615385  -1.3229572   37.26154    66.32296
#> 821      12       95 -33.3869565  29.7072072   45.38696    65.29279
#> 822      20       95 -25.3869565  29.7072072   45.38696    65.29279
#> 823      15       85 -30.3869565  19.7072072   45.38696    65.29279
#> 824      20       75 -17.2615385   8.6770428   37.26154    66.32296
#> 825      15       80 -30.3869565  14.7072072   45.38696    65.29279
#> 826      20       90 -25.3869565  24.7072072   45.38696    65.29279
#> 827      25       95 -18.2376682  31.3242009   43.23767    63.67580
#> 828       7       65 -38.3869565  -0.2927928   45.38696    65.29279
#> 829       4       95 -39.2376682  31.3242009   43.23767    63.67580
#> 830      20       40 -17.2615385 -26.3229572   37.26154    66.32296
#> 831      10       90 -27.2615385  23.6770428   37.26154    66.32296
#> 832      50       40   5.1587302 -22.2162162   44.84127    62.21622
#> 833      20       85 -23.2376682  21.3242009   43.23767    63.67580
#> 834      25       90 -12.2615385  23.6770428   37.26154    66.32296
#> 835       5       95 -40.3869565  29.7072072   45.38696    65.29279
#> 836       7       90 -30.2615385  23.6770428   37.26154    66.32296
#> 837       5       95 -32.2615385  28.6770428   37.26154    66.32296
#> 838      12       95 -33.3869565  29.7072072   45.38696    65.29279
#> 839      35       80 -10.3869565  14.7072072   45.38696    65.29279
#> 840      35       65  -8.2376682   1.3242009   43.23767    63.67580
#> 841      30       10  -7.2615385 -56.3229572   37.26154    66.32296
#> 842      40       70  -3.2376682   6.3242009   43.23767    63.67580
#> 843      15       90 -22.2615385  23.6770428   37.26154    66.32296
#> 844      10       90 -33.2376682  26.3242009   43.23767    63.67580
#> 845       8       95 -29.2615385  28.6770428   37.26154    66.32296
#> 846       5       80 -40.3869565  14.7072072   45.38696    65.29279
#> 847      14       95 -29.2376682  31.3242009   43.23767    63.67580
#> 848      14       95 -30.8412698  32.7837838   44.84127    62.21622
#> 849       6       95 -37.2376682  31.3242009   43.23767    63.67580
#> 850      14       90 -29.2376682  26.3242009   43.23767    63.67580
#> 851       7       90 -37.8412698  27.7837838   44.84127    62.21622
#> 852      20       55 -17.2615385 -11.3229572   37.26154    66.32296
#> 853       6       95 -31.2615385  28.6770428   37.26154    66.32296
#> 854      10      100 -27.2615385  33.6770428   37.26154    66.32296
#> 855      30       55 -13.2376682  -8.6757991   43.23767    63.67580
#> 856      14       70 -31.3869565   4.7072072   45.38696    65.29279
#> 857      10       85 -27.2615385  18.6770428   37.26154    66.32296
#> 858      10       80 -34.8412698  17.7837838   44.84127    62.21622
#> 859      28       85 -16.8412698  22.7837838   44.84127    62.21622
#> 860       8      100 -35.2376682  36.3242009   43.23767    63.67580
#> 861       6      100 -39.3869565  34.7072072   45.38696    65.29279
#> 862      20      100 -17.2615385  33.6770428   37.26154    66.32296
#> 863       5       95 -38.2376682  31.3242009   43.23767    63.67580
#> 864       7       95 -30.2615385  28.6770428   37.26154    66.32296
#> 865      20       90 -25.3869565  24.7072072   45.38696    65.29279
#> 866      18      100 -26.8412698  37.7837838   44.84127    62.21622
#> 867      12       90 -25.2615385  23.6770428   37.26154    66.32296
#> 868      17       90 -28.3869565  24.7072072   45.38696    65.29279
#> 869      14       85 -31.3869565  19.7072072   45.38696    65.29279
#> 870       5      100 -38.2376682  36.3242009   43.23767    63.67580
#> 871       6      100 -31.2615385  33.6770428   37.26154    66.32296
#> 872       4      100 -39.2376682  36.3242009   43.23767    63.67580
#> 873       4      100 -39.2376682  36.3242009   43.23767    63.67580
#> 874       6      100 -31.2615385  33.6770428   37.26154    66.32296
#> 875      10      100 -33.2376682  36.3242009   43.23767    63.67580
#> 876       6      100 -38.8412698  37.7837838   44.84127    62.21622
#> 877      14       10 -29.2376682 -53.6757991   43.23767    63.67580
#> 878      30       65 -13.2376682   1.3242009   43.23767    63.67580
#> 879      35       50  -2.2615385 -16.3229572   37.26154    66.32296
#> 880      10      100 -33.2376682  36.3242009   43.23767    63.67580
#> 881     100      100  54.6130435  34.7072072   45.38696    65.29279
#> 882       8      100 -37.3869565  34.7072072   45.38696    65.29279
#> 883      10      100 -27.2615385  33.6770428   37.26154    66.32296
#> 884      20       35 -17.2615385 -31.3229572   37.26154    66.32296
#> 885      40       55  -5.3869565 -10.2927928   45.38696    65.29279
#> 886      40       65  -5.3869565  -0.2927928   45.38696    65.29279
#> 887      40       10  -5.3869565 -55.2927928   45.38696    65.29279
#> 888       6       60 -38.8412698  -2.2162162   44.84127    62.21622
#> 889      30       85 -15.3869565  19.7072072   45.38696    65.29279
#> 890      28       85 -15.2376682  21.3242009   43.23767    63.67580
#> 891      20       85 -25.3869565  19.7072072   45.38696    65.29279
#> 892      25       70 -19.8412698   7.7837838   44.84127    62.21622
#> 893      30       55 -13.2376682  -8.6757991   43.23767    63.67580
#> 894      50       50   4.6130435 -15.2927928   45.38696    65.29279
#> 895      20       70 -25.3869565   4.7072072   45.38696    65.29279
#> 896      15      100 -29.8412698  37.7837838   44.84127    62.21622
#> 897     110       35  64.6130435 -30.2927928   45.38696    65.29279
#> 898      28       80 -17.3869565  14.7072072   45.38696    65.29279
#> 899      85       70  39.6130435   4.7072072   45.38696    65.29279
#> 900     160       25 116.7623318 -38.6757991   43.23767    63.67580
#> 901      10      100 -35.3869565  34.7072072   45.38696    65.29279
#> 902       8       85 -35.2376682  21.3242009   43.23767    63.67580
#> 903      NA       NA          NA          NA   45.38696    65.29279
#> 904      NA       NA          NA          NA   44.84127    62.21622
#> 905      NA       NA          NA          NA   45.38696    65.29279
#> 906      NA       NA          NA          NA   45.38696    65.29279
#> 907      NA       NA          NA          NA   43.23767    63.67580
#> 908      NA       NA          NA          NA   43.23767    63.67580