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")A data frame.
Names of variables that should be group- and de-meaned.
Quoted or unquoted name of the variable that indicates the group- or cluster-ID.
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.
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".
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.
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().
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
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 -23.6445498 10.4126214 39.64455 64.58738
#> 2 148 75 102.4770642 11.0981308 45.52294 63.90187
#> 3 70 35 26.7041667 -29.5319149 43.29583 64.53191
#> 4 168 0 124.7041667 -64.5319149 43.29583 64.53191
#> 5 168 25 122.4770642 -38.9018692 45.52294 63.90187
#> 6 16 60 -25.0472103 -5.1315789 41.04721 65.13158
#> 7 161 5 119.9527897 -60.1315789 41.04721 65.13158
#> 8 110 35 66.7041667 -29.5319149 43.29583 64.53191
#> 9 28 15 -15.2958333 -49.5319149 43.29583 64.53191
#> 10 40 0 -1.0472103 -65.1315789 41.04721 65.13158
#> 11 100 25 58.9527897 -40.1315789 41.04721 65.13158
#> 12 25 85 -14.6445498 20.4126214 39.64455 64.58738
#> 13 25 15 -20.5229358 -48.9018692 45.52294 63.90187
#> 14 24 70 -17.0472103 4.8684211 41.04721 65.13158
#> 15 56 NA 10.4770642 NA 45.52294 63.90187
#> 16 20 0 -21.0472103 -65.1315789 41.04721 65.13158
#> 17 25 95 -14.6445498 30.4126214 39.64455 64.58738
#> 18 126 55 80.4770642 -8.9018692 45.52294 63.90187
#> 19 168 55 126.9527897 -10.1315789 41.04721 65.13158
#> 20 118 45 74.7041667 -19.5319149 43.29583 64.53191
#> 21 150 0 106.7041667 -64.5319149 43.29583 64.53191
#> 22 50 70 6.7041667 5.4680851 43.29583 64.53191
#> 23 18 20 -23.0472103 -45.1315789 41.04721 65.13158
#> 24 168 0 124.7041667 -64.5319149 43.29583 64.53191
#> 25 15 95 -26.0472103 29.8684211 41.04721 65.13158
#> 26 168 10 122.4770642 -53.9018692 45.52294 63.90187
#> 27 12 75 -33.5229358 11.0981308 45.52294 63.90187
#> 28 7 90 -34.0472103 24.8684211 41.04721 65.13158
#> 29 35 60 -6.0472103 -5.1315789 41.04721 65.13158
#> 30 168 20 128.3554502 -44.5873786 39.64455 64.58738
#> 31 150 NA 110.3554502 NA 39.64455 64.58738
#> 32 168 50 122.4770642 -13.9018692 45.52294 63.90187
#> 33 168 75 126.9527897 9.8684211 41.04721 65.13158
#> 34 119 50 79.3554502 -14.5873786 39.64455 64.58738
#> 35 168 30 122.4770642 -33.9018692 45.52294 63.90187
#> 36 168 0 122.4770642 -63.9018692 45.52294 63.90187
#> 37 168 30 122.4770642 -33.9018692 45.52294 63.90187
#> 38 28 90 -13.0472103 24.8684211 41.04721 65.13158
#> 39 168 15 124.7041667 -49.5319149 43.29583 64.53191
#> 40 30 70 -15.5229358 6.0981308 45.52294 63.90187
#> 41 14 85 -25.6445498 20.4126214 39.64455 64.58738
#> 42 168 NA 124.7041667 NA 43.29583 64.53191
#> 43 168 0 122.4770642 -63.9018692 45.52294 63.90187
#> 44 50 30 6.7041667 -34.5319149 43.29583 64.53191
#> 45 168 60 128.3554502 -4.5873786 39.64455 64.58738
#> 46 24 25 -17.0472103 -40.1315789 41.04721 65.13158
#> 47 168 NA 124.7041667 NA 43.29583 64.53191
#> 48 42 30 2.3554502 -34.5873786 39.64455 64.58738
#> 49 154 85 114.3554502 20.4126214 39.64455 64.58738
#> 50 60 0 14.4770642 -63.9018692 45.52294 63.90187
#> 51 168 0 126.9527897 -65.1315789 41.04721 65.13158
#> 52 168 0 124.7041667 -64.5319149 43.29583 64.53191
#> 53 24 10 -17.0472103 -55.1315789 41.04721 65.13158
#> 54 168 10 124.7041667 -54.5319149 43.29583 64.53191
#> 55 150 20 104.4770642 -43.9018692 45.52294 63.90187
#> 56 168 0 122.4770642 -63.9018692 45.52294 63.90187
#> 57 168 0 122.4770642 -63.9018692 45.52294 63.90187
#> 58 168 50 122.4770642 -13.9018692 45.52294 63.90187
#> 59 168 85 126.9527897 19.8684211 41.04721 65.13158
#> 60 168 5 126.9527897 -60.1315789 41.04721 65.13158
#> 61 128 0 86.9527897 -65.1315789 41.04721 65.13158
#> 62 168 40 124.7041667 -24.5319149 43.29583 64.53191
#> 63 11 50 -32.2958333 -14.5319149 43.29583 64.53191
#> 64 50 80 8.9527897 14.8684211 41.04721 65.13158
#> 65 80 70 36.7041667 5.4680851 43.29583 64.53191
#> 66 15 70 -26.0472103 4.8684211 41.04721 65.13158
#> 67 7 65 -32.6445498 0.4126214 39.64455 64.58738
#> 68 21 90 -18.6445498 25.4126214 39.64455 64.58738
#> 69 168 0 128.3554502 -64.5873786 39.64455 64.58738
#> 70 24 50 -17.0472103 -15.1315789 41.04721 65.13158
#> 71 6 70 -35.0472103 4.8684211 41.04721 65.13158
#> 72 30 70 -11.0472103 4.8684211 41.04721 65.13158
#> 73 168 45 126.9527897 -20.1315789 41.04721 65.13158
#> 74 42 40 -3.5229358 -23.9018692 45.52294 63.90187
#> 75 30 20 -15.5229358 -43.9018692 45.52294 63.90187
#> 76 85 85 39.4770642 21.0981308 45.52294 63.90187
#> 77 35 15 -8.2958333 -49.5319149 43.29583 64.53191
#> 78 70 85 30.3554502 20.4126214 39.64455 64.58738
#> 79 9 80 -36.5229358 16.0981308 45.52294 63.90187
#> 80 168 20 122.4770642 -43.9018692 45.52294 63.90187
#> 81 77 NA 35.9527897 NA 41.04721 65.13158
#> 82 24 85 -21.5229358 21.0981308 45.52294 63.90187
#> 83 91 45 49.9527897 -20.1315789 41.04721 65.13158
#> 84 6 NA -37.2958333 NA 43.29583 64.53191
#> 85 22 50 -21.2958333 -14.5319149 43.29583 64.53191
#> 86 168 0 124.7041667 -64.5319149 43.29583 64.53191
#> 87 168 10 122.4770642 -53.9018692 45.52294 63.90187
#> 88 168 50 124.7041667 -14.5319149 43.29583 64.53191
#> 89 168 35 122.4770642 -28.9018692 45.52294 63.90187
#> 90 50 50 10.3554502 -14.5873786 39.64455 64.58738
#> 91 40 75 -3.2958333 10.4680851 43.29583 64.53191
#> 92 9 95 -34.2958333 30.4680851 43.29583 64.53191
#> 93 25 95 -16.0472103 29.8684211 41.04721 65.13158
#> 94 14 100 -25.6445498 35.4126214 39.64455 64.58738
#> 95 49 80 5.7041667 15.4680851 43.29583 64.53191
#> 96 5 90 -34.6445498 25.4126214 39.64455 64.58738
#> 97 7 75 -34.0472103 9.8684211 41.04721 65.13158
#> 98 21 60 -22.2958333 -4.5319149 43.29583 64.53191
#> 99 24 NA -17.0472103 NA 41.04721 65.13158
#> 100 7 60 -38.5229358 -3.9018692 45.52294 63.90187
#> 101 168 65 128.3554502 0.4126214 39.64455 64.58738
#> 102 168 75 126.9527897 9.8684211 41.04721 65.13158
#> 103 4 80 -41.5229358 16.0981308 45.52294 63.90187
#> 104 168 0 126.9527897 -65.1315789 41.04721 65.13158
#> 105 168 30 126.9527897 -35.1315789 41.04721 65.13158
#> 106 15 65 -30.5229358 1.0981308 45.52294 63.90187
#> 107 168 80 122.4770642 16.0981308 45.52294 63.90187
#> 108 168 90 122.4770642 26.0981308 45.52294 63.90187
#> 109 20 65 -21.0472103 -0.1315789 41.04721 65.13158
#> 110 59 55 19.3554502 -9.5873786 39.64455 64.58738
#> 111 24 50 -21.5229358 -13.9018692 45.52294 63.90187
#> 112 7 75 -38.5229358 11.0981308 45.52294 63.90187
#> 113 100 35 56.7041667 -29.5319149 43.29583 64.53191
#> 114 168 15 128.3554502 -49.5873786 39.64455 64.58738
#> 115 168 25 128.3554502 -39.5873786 39.64455 64.58738
#> 116 28 80 -17.5229358 16.0981308 45.52294 63.90187
#> 117 20 80 -21.0472103 14.8684211 41.04721 65.13158
#> 118 50 80 8.9527897 14.8684211 41.04721 65.13158
#> 119 89 30 47.9527897 -35.1315789 41.04721 65.13158
#> 120 168 70 122.4770642 6.0981308 45.52294 63.90187
#> 121 12 55 -27.6445498 -9.5873786 39.64455 64.58738
#> 122 24 55 -15.6445498 -9.5873786 39.64455 64.58738
#> 123 91 5 47.7041667 -59.5319149 43.29583 64.53191
#> 124 168 35 124.7041667 -29.5319149 43.29583 64.53191
#> 125 168 100 122.4770642 36.0981308 45.52294 63.90187
#> 126 168 5 122.4770642 -58.9018692 45.52294 63.90187
#> 127 11 100 -32.2958333 35.4680851 43.29583 64.53191
#> 128 35 0 -8.2958333 -64.5319149 43.29583 64.53191
#> 129 10 80 -31.0472103 14.8684211 41.04721 65.13158
#> 130 125 45 85.3554502 -19.5873786 39.64455 64.58738
#> 131 140 80 96.7041667 15.4680851 43.29583 64.53191
#> 132 28 70 -11.6445498 5.4126214 39.64455 64.58738
#> 133 84 0 44.3554502 -64.5873786 39.64455 64.58738
#> 134 15 75 -28.2958333 10.4680851 43.29583 64.53191
#> 135 15 60 -28.2958333 -4.5319149 43.29583 64.53191
#> 136 14 65 -27.0472103 -0.1315789 41.04721 65.13158
#> 137 24 10 -17.0472103 -55.1315789 41.04721 65.13158
#> 138 4 75 -37.0472103 9.8684211 41.04721 65.13158
#> 139 140 0 96.7041667 -64.5319149 43.29583 64.53191
#> 140 168 80 126.9527897 14.8684211 41.04721 65.13158
#> 141 6 55 -33.6445498 -9.5873786 39.64455 64.58738
#> 142 10 45 -31.0472103 -20.1315789 41.04721 65.13158
#> 143 20 60 -21.0472103 -5.1315789 41.04721 65.13158
#> 144 15 60 -28.2958333 -4.5319149 43.29583 64.53191
#> 145 65 35 21.7041667 -29.5319149 43.29583 64.53191
#> 146 35 40 -4.6445498 -24.5873786 39.64455 64.58738
#> 147 105 10 59.4770642 -53.9018692 45.52294 63.90187
#> 148 50 30 8.9527897 -35.1315789 41.04721 65.13158
#> 149 168 45 124.7041667 -19.5319149 43.29583 64.53191
#> 150 77 50 35.9527897 -15.1315789 41.04721 65.13158
#> 151 168 15 124.7041667 -49.5319149 43.29583 64.53191
#> 152 42 10 2.3554502 -54.5873786 39.64455 64.58738
#> 153 4 75 -37.0472103 9.8684211 41.04721 65.13158
#> 154 168 5 128.3554502 -59.5873786 39.64455 64.58738
#> 155 168 0 124.7041667 -64.5319149 43.29583 64.53191
#> 156 42 75 2.3554502 10.4126214 39.64455 64.58738
#> 157 6 60 -35.0472103 -5.1315789 41.04721 65.13158
#> 158 168 5 124.7041667 -59.5319149 43.29583 64.53191
#> 159 70 60 26.7041667 -4.5319149 43.29583 64.53191
#> 160 15 45 -24.6445498 -19.5873786 39.64455 64.58738
#> 161 30 65 -13.2958333 0.4680851 43.29583 64.53191
#> 162 9 50 -32.0472103 -15.1315789 41.04721 65.13158
#> 163 16 30 -23.6445498 -34.5873786 39.64455 64.58738
#> 164 35 0 -4.6445498 -64.5873786 39.64455 64.58738
#> 165 28 75 -15.2958333 10.4680851 43.29583 64.53191
#> 166 168 0 122.4770642 -63.9018692 45.52294 63.90187
#> 167 9 70 -30.6445498 5.4126214 39.64455 64.58738
#> 168 168 5 126.9527897 -60.1315789 41.04721 65.13158
#> 169 15 75 -28.2958333 10.4680851 43.29583 64.53191
#> 170 6 30 -33.6445498 -34.5873786 39.64455 64.58738
#> 171 14 90 -29.2958333 25.4680851 43.29583 64.53191
#> 172 35 70 -10.5229358 6.0981308 45.52294 63.90187
#> 173 7 75 -34.0472103 9.8684211 41.04721 65.13158
#> 174 12 75 -29.0472103 9.8684211 41.04721 65.13158
#> 175 50 35 6.7041667 -29.5319149 43.29583 64.53191
#> 176 6 50 -39.5229358 -13.9018692 45.52294 63.90187
#> 177 22 65 -23.5229358 1.0981308 45.52294 63.90187
#> 178 35 45 -6.0472103 -20.1315789 41.04721 65.13158
#> 179 6 55 -37.2958333 -9.5319149 43.29583 64.53191
#> 180 168 15 126.9527897 -50.1315789 41.04721 65.13158
#> 181 28 5 -13.0472103 -60.1315789 41.04721 65.13158
#> 182 10 85 -35.5229358 21.0981308 45.52294 63.90187
#> 183 91 70 51.3554502 5.4126214 39.64455 64.58738
#> 184 8 60 -37.5229358 -3.9018692 45.52294 63.90187
#> 185 168 15 122.4770642 -48.9018692 45.52294 63.90187
#> 186 24 15 -21.5229358 -48.9018692 45.52294 63.90187
#> 187 168 5 126.9527897 -60.1315789 41.04721 65.13158
#> 188 168 45 124.7041667 -19.5319149 43.29583 64.53191
#> 189 14 85 -29.2958333 20.4680851 43.29583 64.53191
#> 190 28 45 -13.0472103 -20.1315789 41.04721 65.13158
#> 191 16 50 -23.6445498 -14.5873786 39.64455 64.58738
#> 192 168 30 122.4770642 -33.9018692 45.52294 63.90187
#> 193 6 95 -35.0472103 29.8684211 41.04721 65.13158
#> 194 168 0 124.7041667 -64.5319149 43.29583 64.53191
#> 195 28 75 -13.0472103 9.8684211 41.04721 65.13158
#> 196 160 95 118.9527897 29.8684211 41.04721 65.13158
#> 197 39 55 -6.5229358 -8.9018692 45.52294 63.90187
#> 198 15 NA -30.5229358 NA 45.52294 63.90187
#> 199 10 NA -29.6445498 NA 39.64455 64.58738
#> 200 10 85 -31.0472103 19.8684211 41.04721 65.13158
#> 201 17 90 -26.2958333 25.4680851 43.29583 64.53191
#> 202 168 10 128.3554502 -54.5873786 39.64455 64.58738
#> 203 70 65 26.7041667 0.4680851 43.29583 64.53191
#> 204 50 NA 8.9527897 NA 41.04721 65.13158
#> 205 12 75 -29.0472103 9.8684211 41.04721 65.13158
#> 206 10 90 -33.2958333 25.4680851 43.29583 64.53191
#> 207 168 0 122.4770642 -63.9018692 45.52294 63.90187
#> 208 168 25 122.4770642 -38.9018692 45.52294 63.90187
#> 209 168 75 126.9527897 9.8684211 41.04721 65.13158
#> 210 28 55 -13.0472103 -10.1315789 41.04721 65.13158
#> 211 12 65 -29.0472103 -0.1315789 41.04721 65.13158
#> 212 8 55 -37.5229358 -8.9018692 45.52294 63.90187
#> 213 21 70 -18.6445498 5.4126214 39.64455 64.58738
#> 214 24 30 -17.0472103 -35.1315789 41.04721 65.13158
#> 215 15 85 -24.6445498 20.4126214 39.64455 64.58738
#> 216 8 75 -35.2958333 10.4680851 43.29583 64.53191
#> 217 16 40 -25.0472103 -25.1315789 41.04721 65.13158
#> 218 56 40 14.9527897 -25.1315789 41.04721 65.13158
#> 219 42 75 -1.2958333 10.4680851 43.29583 64.53191
#> 220 4 100 -37.0472103 34.8684211 41.04721 65.13158
#> 221 25 60 -20.5229358 -3.9018692 45.52294 63.90187
#> 222 35 40 -4.6445498 -24.5873786 39.64455 64.58738
#> 223 30 70 -13.2958333 5.4680851 43.29583 64.53191
#> 224 6 65 -35.0472103 -0.1315789 41.04721 65.13158
#> 225 110 15 70.3554502 -49.5873786 39.64455 64.58738
#> 226 30 60 -13.2958333 -4.5319149 43.29583 64.53191
#> 227 24 45 -17.0472103 -20.1315789 41.04721 65.13158
#> 228 14 65 -29.2958333 0.4680851 43.29583 64.53191
#> 229 4 95 -37.0472103 29.8684211 41.04721 65.13158
#> 230 20 100 -19.6445498 35.4126214 39.64455 64.58738
#> 231 10 60 -35.5229358 -3.9018692 45.52294 63.90187
#> 232 7 75 -36.2958333 10.4680851 43.29583 64.53191
#> 233 161 15 121.3554502 -49.5873786 39.64455 64.58738
#> 234 28 80 -11.6445498 15.4126214 39.64455 64.58738
#> 235 14 45 -27.0472103 -20.1315789 41.04721 65.13158
#> 236 4 60 -41.5229358 -3.9018692 45.52294 63.90187
#> 237 50 95 8.9527897 29.8684211 41.04721 65.13158
#> 238 10 90 -35.5229358 26.0981308 45.52294 63.90187
#> 239 18 95 -21.6445498 30.4126214 39.64455 64.58738
#> 240 15 85 -24.6445498 20.4126214 39.64455 64.58738
#> 241 6 95 -37.2958333 30.4680851 43.29583 64.53191
#> 242 17 70 -28.5229358 6.0981308 45.52294 63.90187
#> 243 14 70 -25.6445498 5.4126214 39.64455 64.58738
#> 244 5 85 -34.6445498 20.4126214 39.64455 64.58738
#> 245 10 65 -29.6445498 0.4126214 39.64455 64.58738
#> 246 30 75 -13.2958333 10.4680851 43.29583 64.53191
#> 247 10 95 -35.5229358 31.0981308 45.52294 63.90187
#> 248 10 100 -31.0472103 34.8684211 41.04721 65.13158
#> 249 84 80 44.3554502 15.4126214 39.64455 64.58738
#> 250 10 60 -33.2958333 -4.5319149 43.29583 64.53191
#> 251 6 100 -33.6445498 35.4126214 39.64455 64.58738
#> 252 15 75 -30.5229358 11.0981308 45.52294 63.90187
#> 253 40 100 -3.2958333 35.4680851 43.29583 64.53191
#> 254 21 10 -18.6445498 -54.5873786 39.64455 64.58738
#> 255 11 100 -32.2958333 35.4680851 43.29583 64.53191
#> 256 8 75 -31.6445498 10.4126214 39.64455 64.58738
#> 257 5 95 -36.0472103 29.8684211 41.04721 65.13158
#> 258 12 15 -31.2958333 -49.5319149 43.29583 64.53191
#> 259 10 90 -33.2958333 25.4680851 43.29583 64.53191
#> 260 20 90 -21.0472103 24.8684211 41.04721 65.13158
#> 261 12 60 -29.0472103 -5.1315789 41.04721 65.13158
#> 262 24 30 -17.0472103 -35.1315789 41.04721 65.13158
#> 263 27 40 -12.6445498 -24.5873786 39.64455 64.58738
#> 264 14 80 -29.2958333 15.4680851 43.29583 64.53191
#> 265 18 75 -21.6445498 10.4126214 39.64455 64.58738
#> 266 168 75 126.9527897 9.8684211 41.04721 65.13158
#> 267 14 90 -25.6445498 25.4126214 39.64455 64.58738
#> 268 10 NA -33.2958333 NA 43.29583 64.53191
#> 269 6 100 -35.0472103 34.8684211 41.04721 65.13158
#> 270 21 65 -18.6445498 0.4126214 39.64455 64.58738
#> 271 16 85 -29.5229358 21.0981308 45.52294 63.90187
#> 272 15 70 -26.0472103 4.8684211 41.04721 65.13158
#> 273 20 85 -25.5229358 21.0981308 45.52294 63.90187
#> 274 10 90 -33.2958333 25.4680851 43.29583 64.53191
#> 275 22 60 -19.0472103 -5.1315789 41.04721 65.13158
#> 276 35 60 -8.2958333 -4.5319149 43.29583 64.53191
#> 277 30 70 -9.6445498 5.4126214 39.64455 64.58738
#> 278 16 70 -27.2958333 5.4680851 43.29583 64.53191
#> 279 24 95 -21.5229358 31.0981308 45.52294 63.90187
#> 280 168 75 124.7041667 10.4680851 43.29583 64.53191
#> 281 168 90 126.9527897 24.8684211 41.04721 65.13158
#> 282 40 95 0.3554502 30.4126214 39.64455 64.58738
#> 283 40 100 -1.0472103 34.8684211 41.04721 65.13158
#> 284 50 100 8.9527897 34.8684211 41.04721 65.13158
#> 285 20 100 -25.5229358 36.0981308 45.52294 63.90187
#> 286 20 100 -23.2958333 35.4680851 43.29583 64.53191
#> 287 6 NA -35.0472103 NA 41.04721 65.13158
#> 288 5 80 -34.6445498 15.4126214 39.64455 64.58738
#> 289 48 65 4.7041667 0.4680851 43.29583 64.53191
#> 290 168 25 128.3554502 -39.5873786 39.64455 64.58738
#> 291 6 90 -33.6445498 25.4126214 39.64455 64.58738
#> 292 8 65 -31.6445498 0.4126214 39.64455 64.58738
#> 293 43 90 -0.2958333 25.4680851 43.29583 64.53191
#> 294 90 55 50.3554502 -9.5873786 39.64455 64.58738
#> 295 100 60 56.7041667 -4.5319149 43.29583 64.53191
#> 296 8 95 -37.5229358 31.0981308 45.52294 63.90187
#> 297 15 70 -30.5229358 6.0981308 45.52294 63.90187
#> 298 5 80 -40.5229358 16.0981308 45.52294 63.90187
#> 299 8 80 -37.5229358 16.0981308 45.52294 63.90187
#> 300 10 95 -33.2958333 30.4680851 43.29583 64.53191
#> 301 30 50 -13.2958333 -14.5319149 43.29583 64.53191
#> 302 168 40 124.7041667 -24.5319149 43.29583 64.53191
#> 303 20 70 -25.5229358 6.0981308 45.52294 63.90187
#> 304 30 60 -13.2958333 -4.5319149 43.29583 64.53191
#> 305 30 100 -13.2958333 35.4680851 43.29583 64.53191
#> 306 12 75 -31.2958333 10.4680851 43.29583 64.53191
#> 307 30 55 -13.2958333 -9.5319149 43.29583 64.53191
#> 308 30 95 -11.0472103 29.8684211 41.04721 65.13158
#> 309 14 85 -29.2958333 20.4680851 43.29583 64.53191
#> 310 15 90 -30.5229358 26.0981308 45.52294 63.90187
#> 311 50 65 4.4770642 1.0981308 45.52294 63.90187
#> 312 20 50 -25.5229358 -13.9018692 45.52294 63.90187
#> 313 25 55 -14.6445498 -9.5873786 39.64455 64.58738
#> 314 40 10 -3.2958333 -54.5319149 43.29583 64.53191
#> 315 9 80 -34.2958333 15.4680851 43.29583 64.53191
#> 316 18 60 -21.6445498 -4.5873786 39.64455 64.58738
#> 317 25 50 -20.5229358 -13.9018692 45.52294 63.90187
#> 318 100 45 54.4770642 -18.9018692 45.52294 63.90187
#> 319 6 95 -35.0472103 29.8684211 41.04721 65.13158
#> 320 25 95 -20.5229358 31.0981308 45.52294 63.90187
#> 321 15 75 -30.5229358 11.0981308 45.52294 63.90187
#> 322 20 100 -21.0472103 34.8684211 41.04721 65.13158
#> 323 10 100 -33.2958333 35.4680851 43.29583 64.53191
#> 324 28 0 -13.0472103 -65.1315789 41.04721 65.13158
#> 325 10 85 -29.6445498 20.4126214 39.64455 64.58738
#> 326 30 60 -11.0472103 -5.1315789 41.04721 65.13158
#> 327 6 70 -37.2958333 5.4680851 43.29583 64.53191
#> 328 40 55 -3.2958333 -9.5319149 43.29583 64.53191
#> 329 7 100 -36.2958333 35.4680851 43.29583 64.53191
#> 330 8 100 -35.2958333 35.4680851 43.29583 64.53191
#> 331 15 100 -24.6445498 35.4126214 39.64455 64.58738
#> 332 4 15 -39.2958333 -49.5319149 43.29583 64.53191
#> 333 4 50 -39.2958333 -14.5319149 43.29583 64.53191
#> 334 168 0 128.3554502 -64.5873786 39.64455 64.58738
#> 335 7 85 -32.6445498 20.4126214 39.64455 64.58738
#> 336 22 75 -23.5229358 11.0981308 45.52294 63.90187
#> 337 30 50 -11.0472103 -15.1315789 41.04721 65.13158
#> 338 15 65 -28.2958333 0.4680851 43.29583 64.53191
#> 339 30 75 -13.2958333 10.4680851 43.29583 64.53191
#> 340 20 100 -21.0472103 34.8684211 41.04721 65.13158
#> 341 25 100 -20.5229358 36.0981308 45.52294 63.90187
#> 342 20 90 -25.5229358 26.0981308 45.52294 63.90187
#> 343 20 100 -23.2958333 35.4680851 43.29583 64.53191
#> 344 25 95 -20.5229358 31.0981308 45.52294 63.90187
#> 345 14 55 -25.6445498 -9.5873786 39.64455 64.58738
#> 346 30 80 -11.0472103 14.8684211 41.04721 65.13158
#> 347 20 80 -19.6445498 15.4126214 39.64455 64.58738
#> 348 15 50 -26.0472103 -15.1315789 41.04721 65.13158
#> 349 6 100 -35.0472103 34.8684211 41.04721 65.13158
#> 350 5 90 -34.6445498 25.4126214 39.64455 64.58738
#> 351 50 10 8.9527897 -55.1315789 41.04721 65.13158
#> 352 8 100 -31.6445498 35.4126214 39.64455 64.58738
#> 353 20 75 -19.6445498 10.4126214 39.64455 64.58738
#> 354 14 95 -27.0472103 29.8684211 41.04721 65.13158
#> 355 18 70 -23.0472103 4.8684211 41.04721 65.13158
#> 356 16 60 -29.5229358 -3.9018692 45.52294 63.90187
#> 357 20 35 -21.0472103 -30.1315789 41.04721 65.13158
#> 358 15 NA -28.2958333 NA 43.29583 64.53191
#> 359 25 65 -18.2958333 0.4680851 43.29583 64.53191
#> 360 18 100 -23.0472103 34.8684211 41.04721 65.13158
#> 361 22 55 -19.0472103 -10.1315789 41.04721 65.13158
#> 362 18 75 -23.0472103 9.8684211 41.04721 65.13158
#> 363 48 95 8.3554502 30.4126214 39.64455 64.58738
#> 364 60 70 14.4770642 6.0981308 45.52294 63.90187
#> 365 10 85 -33.2958333 20.4680851 43.29583 64.53191
#> 366 7 100 -38.5229358 36.0981308 45.52294 63.90187
#> 367 5 100 -36.0472103 34.8684211 41.04721 65.13158
#> 368 35 70 -10.5229358 6.0981308 45.52294 63.90187
#> 369 28 90 -15.2958333 25.4680851 43.29583 64.53191
#> 370 5 90 -38.2958333 25.4680851 43.29583 64.53191
#> 371 25 90 -16.0472103 24.8684211 41.04721 65.13158
#> 372 40 50 -3.2958333 -14.5319149 43.29583 64.53191
#> 373 49 25 5.7041667 -39.5319149 43.29583 64.53191
#> 374 4 95 -39.2958333 30.4680851 43.29583 64.53191
#> 375 70 90 30.3554502 25.4126214 39.64455 64.58738
#> 376 6 65 -39.5229358 1.0981308 45.52294 63.90187
#> 377 7 65 -38.5229358 1.0981308 45.52294 63.90187
#> 378 40 85 -3.2958333 20.4680851 43.29583 64.53191
#> 379 50 35 6.7041667 -29.5319149 43.29583 64.53191
#> 380 30 5 -9.6445498 -59.5873786 39.64455 64.58738
#> 381 70 35 30.3554502 -29.5873786 39.64455 64.58738
#> 382 14 85 -31.5229358 21.0981308 45.52294 63.90187
#> 383 70 50 24.4770642 -13.9018692 45.52294 63.90187
#> 384 7 40 -34.0472103 -25.1315789 41.04721 65.13158
#> 385 6 70 -37.2958333 5.4680851 43.29583 64.53191
#> 386 14 100 -27.0472103 34.8684211 41.04721 65.13158
#> 387 10 95 -33.2958333 30.4680851 43.29583 64.53191
#> 388 25 20 -14.6445498 -44.5873786 39.64455 64.58738
#> 389 5 85 -38.2958333 20.4680851 43.29583 64.53191
#> 390 11 75 -34.5229358 11.0981308 45.52294 63.90187
#> 391 120 10 80.3554502 -54.5873786 39.64455 64.58738
#> 392 18 80 -25.2958333 15.4680851 43.29583 64.53191
#> 393 6 100 -35.0472103 34.8684211 41.04721 65.13158
#> 394 20 65 -25.5229358 1.0981308 45.52294 63.90187
#> 395 15 60 -26.0472103 -5.1315789 41.04721 65.13158
#> 396 35 10 -4.6445498 -54.5873786 39.64455 64.58738
#> 397 15 55 -28.2958333 -9.5319149 43.29583 64.53191
#> 398 15 55 -28.2958333 -9.5319149 43.29583 64.53191
#> 399 120 25 76.7041667 -39.5319149 43.29583 64.53191
#> 400 28 65 -15.2958333 0.4680851 43.29583 64.53191
#> 401 10 10 -31.0472103 -55.1315789 41.04721 65.13158
#> 402 120 55 78.9527897 -10.1315789 41.04721 65.13158
#> 403 100 40 56.7041667 -24.5319149 43.29583 64.53191
#> 404 18 80 -25.2958333 15.4680851 43.29583 64.53191
#> 405 8 100 -33.0472103 34.8684211 41.04721 65.13158
#> 406 40 100 -1.0472103 34.8684211 41.04721 65.13158
#> 407 140 75 94.4770642 11.0981308 45.52294 63.90187
#> 408 6 85 -33.6445498 20.4126214 39.64455 64.58738
#> 409 11 35 -32.2958333 -29.5319149 43.29583 64.53191
#> 410 15 65 -28.2958333 0.4680851 43.29583 64.53191
#> 411 80 10 34.4770642 -53.9018692 45.52294 63.90187
#> 412 5 95 -34.6445498 30.4126214 39.64455 64.58738
#> 413 6 95 -35.0472103 29.8684211 41.04721 65.13158
#> 414 40 80 -1.0472103 14.8684211 41.04721 65.13158
#> 415 5 90 -36.0472103 24.8684211 41.04721 65.13158
#> 416 7 85 -32.6445498 20.4126214 39.64455 64.58738
#> 417 4 95 -39.2958333 30.4680851 43.29583 64.53191
#> 418 24 45 -21.5229358 -18.9018692 45.52294 63.90187
#> 419 28 15 -13.0472103 -50.1315789 41.04721 65.13158
#> 420 25 55 -18.2958333 -9.5319149 43.29583 64.53191
#> 421 140 50 100.3554502 -14.5873786 39.64455 64.58738
#> 422 14 70 -25.6445498 5.4126214 39.64455 64.58738
#> 423 40 15 -5.5229358 -48.9018692 45.52294 63.90187
#> 424 5 70 -38.2958333 5.4680851 43.29583 64.53191
#> 425 20 40 -21.0472103 -25.1315789 41.04721 65.13158
#> 426 168 5 122.4770642 -58.9018692 45.52294 63.90187
#> 427 40 70 -1.0472103 4.8684211 41.04721 65.13158
#> 428 80 35 40.3554502 -29.5873786 39.64455 64.58738
#> 429 120 10 78.9527897 -55.1315789 41.04721 65.13158
#> 430 160 75 116.7041667 10.4680851 43.29583 64.53191
#> 431 7 95 -38.5229358 31.0981308 45.52294 63.90187
#> 432 7 70 -32.6445498 5.4126214 39.64455 64.58738
#> 433 4 80 -41.5229358 16.0981308 45.52294 63.90187
#> 434 6 95 -33.6445498 30.4126214 39.64455 64.58738
#> 435 14 85 -25.6445498 20.4126214 39.64455 64.58738
#> 436 7 100 -32.6445498 35.4126214 39.64455 64.58738
#> 437 28 75 -15.2958333 10.4680851 43.29583 64.53191
#> 438 25 30 -18.2958333 -34.5319149 43.29583 64.53191
#> 439 28 80 -11.6445498 15.4126214 39.64455 64.58738
#> 440 7 80 -34.0472103 14.8684211 41.04721 65.13158
#> 441 21 NA -18.6445498 NA 39.64455 64.58738
#> 442 30 50 -11.0472103 -15.1315789 41.04721 65.13158
#> 443 25 40 -20.5229358 -23.9018692 45.52294 63.90187
#> 444 65 85 19.4770642 21.0981308 45.52294 63.90187
#> 445 18 75 -23.0472103 9.8684211 41.04721 65.13158
#> 446 40 15 -3.2958333 -49.5319149 43.29583 64.53191
#> 447 20 65 -25.5229358 1.0981308 45.52294 63.90187
#> 448 80 40 38.9527897 -25.1315789 41.04721 65.13158
#> 449 7 60 -32.6445498 -4.5873786 39.64455 64.58738
#> 450 50 60 6.7041667 -4.5319149 43.29583 64.53191
#> 451 30 85 -15.5229358 21.0981308 45.52294 63.90187
#> 452 10 100 -33.2958333 35.4680851 43.29583 64.53191
#> 453 8 100 -31.6445498 35.4126214 39.64455 64.58738
#> 454 6 95 -35.0472103 29.8684211 41.04721 65.13158
#> 455 6 80 -35.0472103 14.8684211 41.04721 65.13158
#> 456 42 35 -3.5229358 -28.9018692 45.52294 63.90187
#> 457 10 95 -35.5229358 31.0981308 45.52294 63.90187
#> 458 30 25 -9.6445498 -39.5873786 39.64455 64.58738
#> 459 15 95 -24.6445498 30.4126214 39.64455 64.58738
#> 460 10 95 -29.6445498 30.4126214 39.64455 64.58738
#> 461 10 80 -29.6445498 15.4126214 39.64455 64.58738
#> 462 130 75 90.3554502 10.4126214 39.64455 64.58738
#> 463 160 0 118.9527897 -65.1315789 41.04721 65.13158
#> 464 168 45 128.3554502 -19.5873786 39.64455 64.58738
#> 465 24 15 -21.5229358 -48.9018692 45.52294 63.90187
#> 466 24 15 -15.6445498 -49.5873786 39.64455 64.58738
#> 467 30 15 -9.6445498 -49.5873786 39.64455 64.58738
#> 468 20 90 -23.2958333 25.4680851 43.29583 64.53191
#> 469 10 90 -33.2958333 25.4680851 43.29583 64.53191
#> 470 7 95 -38.5229358 31.0981308 45.52294 63.90187
#> 471 120 15 76.7041667 -49.5319149 43.29583 64.53191
#> 472 6 95 -37.2958333 30.4680851 43.29583 64.53191
#> 473 6 85 -39.5229358 21.0981308 45.52294 63.90187
#> 474 10 100 -33.2958333 35.4680851 43.29583 64.53191
#> 475 20 100 -23.2958333 35.4680851 43.29583 64.53191
#> 476 5 NA -34.6445498 NA 39.64455 64.58738
#> 477 60 35 14.4770642 -28.9018692 45.52294 63.90187
#> 478 20 90 -23.2958333 25.4680851 43.29583 64.53191
#> 479 6 100 -39.5229358 36.0981308 45.52294 63.90187
#> 480 10 75 -33.2958333 10.4680851 43.29583 64.53191
#> 481 84 10 42.9527897 -55.1315789 41.04721 65.13158
#> 482 8 85 -35.2958333 20.4680851 43.29583 64.53191
#> 483 168 65 128.3554502 0.4126214 39.64455 64.58738
#> 484 40 55 -3.2958333 -9.5319149 43.29583 64.53191
#> 485 40 55 -1.0472103 -10.1315789 41.04721 65.13158
#> 486 20 55 -25.5229358 -8.9018692 45.52294 63.90187
#> 487 56 60 10.4770642 -3.9018692 45.52294 63.90187
#> 488 6 100 -37.2958333 35.4680851 43.29583 64.53191
#> 489 7 100 -34.0472103 34.8684211 41.04721 65.13158
#> 490 12 80 -27.6445498 15.4126214 39.64455 64.58738
#> 491 10 75 -35.5229358 11.0981308 45.52294 63.90187
#> 492 14 75 -31.5229358 11.0981308 45.52294 63.90187
#> 493 28 45 -11.6445498 -19.5873786 39.64455 64.58738
#> 494 12 75 -29.0472103 9.8684211 41.04721 65.13158
#> 495 28 65 -17.5229358 1.0981308 45.52294 63.90187
#> 496 11 75 -30.0472103 9.8684211 41.04721 65.13158
#> 497 16 85 -25.0472103 19.8684211 41.04721 65.13158
#> 498 12 65 -29.0472103 -0.1315789 41.04721 65.13158
#> 499 22 65 -19.0472103 -0.1315789 41.04721 65.13158
#> 500 17 95 -22.6445498 30.4126214 39.64455 64.58738
#> 501 16 85 -27.2958333 20.4680851 43.29583 64.53191
#> 502 50 0 8.9527897 -65.1315789 41.04721 65.13158
#> 503 6 85 -35.0472103 19.8684211 41.04721 65.13158
#> 504 5 75 -34.6445498 10.4126214 39.64455 64.58738
#> 505 45 10 -0.5229358 -53.9018692 45.52294 63.90187
#> 506 16 40 -27.2958333 -24.5319149 43.29583 64.53191
#> 507 15 65 -30.5229358 1.0981308 45.52294 63.90187
#> 508 20 45 -21.0472103 -20.1315789 41.04721 65.13158
#> 509 20 55 -21.0472103 -10.1315789 41.04721 65.13158
#> 510 8 45 -35.2958333 -19.5319149 43.29583 64.53191
#> 511 8 90 -31.6445498 25.4126214 39.64455 64.58738
#> 512 15 60 -30.5229358 -3.9018692 45.52294 63.90187
#> 513 10 50 -35.5229358 -13.9018692 45.52294 63.90187
#> 514 15 90 -26.0472103 24.8684211 41.04721 65.13158
#> 515 27 80 -16.2958333 15.4680851 43.29583 64.53191
#> 516 14 70 -25.6445498 5.4126214 39.64455 64.58738
#> 517 28 50 -15.2958333 -14.5319149 43.29583 64.53191
#> 518 168 20 124.7041667 -44.5319149 43.29583 64.53191
#> 519 168 0 124.7041667 -64.5319149 43.29583 64.53191
#> 520 21 95 -22.2958333 30.4680851 43.29583 64.53191
#> 521 12 95 -29.0472103 29.8684211 41.04721 65.13158
#> 522 62 55 20.9527897 -10.1315789 41.04721 65.13158
#> 523 20 85 -19.6445498 20.4126214 39.64455 64.58738
#> 524 7 80 -38.5229358 16.0981308 45.52294 63.90187
#> 525 10 80 -31.0472103 14.8684211 41.04721 65.13158
#> 526 20 80 -19.6445498 15.4126214 39.64455 64.58738
#> 527 8 90 -37.5229358 26.0981308 45.52294 63.90187
#> 528 9 90 -36.5229358 26.0981308 45.52294 63.90187
#> 529 12 90 -33.5229358 26.0981308 45.52294 63.90187
#> 530 10 90 -35.5229358 26.0981308 45.52294 63.90187
#> 531 35 45 -10.5229358 -18.9018692 45.52294 63.90187
#> 532 5 100 -36.0472103 34.8684211 41.04721 65.13158
#> 533 18 45 -23.0472103 -20.1315789 41.04721 65.13158
#> 534 15 90 -26.0472103 24.8684211 41.04721 65.13158
#> 535 6 95 -39.5229358 31.0981308 45.52294 63.90187
#> 536 8 100 -35.2958333 35.4680851 43.29583 64.53191
#> 537 12 100 -31.2958333 35.4680851 43.29583 64.53191
#> 538 25 0 -20.5229358 -63.9018692 45.52294 63.90187
#> 539 10 60 -33.2958333 -4.5319149 43.29583 64.53191
#> 540 40 NA -5.5229358 NA 45.52294 63.90187
#> 541 20 45 -21.0472103 -20.1315789 41.04721 65.13158
#> 542 6 75 -35.0472103 9.8684211 41.04721 65.13158
#> 543 168 80 122.4770642 16.0981308 45.52294 63.90187
#> 544 4 100 -41.5229358 36.0981308 45.52294 63.90187
#> 545 168 95 124.7041667 30.4680851 43.29583 64.53191
#> 546 24 80 -21.5229358 16.0981308 45.52294 63.90187
#> 547 25 65 -14.6445498 0.4126214 39.64455 64.58738
#> 548 40 25 -1.0472103 -40.1315789 41.04721 65.13158
#> 549 18 75 -21.6445498 10.4126214 39.64455 64.58738
#> 550 20 75 -25.5229358 11.0981308 45.52294 63.90187
#> 551 40 55 0.3554502 -9.5873786 39.64455 64.58738
#> 552 6 100 -39.5229358 36.0981308 45.52294 63.90187
#> 553 5 100 -36.0472103 34.8684211 41.04721 65.13158
#> 554 30 100 -9.6445498 35.4126214 39.64455 64.58738
#> 555 14 90 -25.6445498 25.4126214 39.64455 64.58738
#> 556 8 100 -37.5229358 36.0981308 45.52294 63.90187
#> 557 28 15 -13.0472103 -50.1315789 41.04721 65.13158
#> 558 45 0 1.7041667 -64.5319149 43.29583 64.53191
#> 559 40 15 0.3554502 -49.5873786 39.64455 64.58738
#> 560 30 55 -11.0472103 -10.1315789 41.04721 65.13158
#> 561 28 35 -11.6445498 -29.5873786 39.64455 64.58738
#> 562 50 60 6.7041667 -4.5319149 43.29583 64.53191
#> 563 84 35 44.3554502 -29.5873786 39.64455 64.58738
#> 564 12 75 -31.2958333 10.4680851 43.29583 64.53191
#> 565 40 50 -1.0472103 -15.1315789 41.04721 65.13158
#> 566 10 90 -35.5229358 26.0981308 45.52294 63.90187
#> 567 15 100 -28.2958333 35.4680851 43.29583 64.53191
#> 568 40 65 -3.2958333 0.4680851 43.29583 64.53191
#> 569 24 50 -17.0472103 -15.1315789 41.04721 65.13158
#> 570 168 5 124.7041667 -59.5319149 43.29583 64.53191
#> 571 160 50 116.7041667 -14.5319149 43.29583 64.53191
#> 572 162 5 116.4770642 -58.9018692 45.52294 63.90187
#> 573 100 0 56.7041667 -64.5319149 43.29583 64.53191
#> 574 110 45 70.3554502 -19.5873786 39.64455 64.58738
#> 575 140 10 98.9527897 -55.1315789 41.04721 65.13158
#> 576 25 65 -18.2958333 0.4680851 43.29583 64.53191
#> 577 15 45 -26.0472103 -20.1315789 41.04721 65.13158
#> 578 35 95 -6.0472103 29.8684211 41.04721 65.13158
#> 579 30 45 -11.0472103 -20.1315789 41.04721 65.13158
#> 580 40 65 0.3554502 0.4126214 39.64455 64.58738
#> 581 10 0 -29.6445498 -64.5873786 39.64455 64.58738
#> 582 25 95 -18.2958333 30.4680851 43.29583 64.53191
#> 583 12 80 -33.5229358 16.0981308 45.52294 63.90187
#> 584 35 65 -8.2958333 0.4680851 43.29583 64.53191
#> 585 10 100 -35.5229358 36.0981308 45.52294 63.90187
#> 586 30 100 -13.2958333 35.4680851 43.29583 64.53191
#> 587 10 95 -29.6445498 30.4126214 39.64455 64.58738
#> 588 100 0 54.4770642 -63.9018692 45.52294 63.90187
#> 589 12 50 -27.6445498 -14.5873786 39.64455 64.58738
#> 590 56 40 10.4770642 -23.9018692 45.52294 63.90187
#> 591 40 80 -1.0472103 14.8684211 41.04721 65.13158
#> 592 30 0 -9.6445498 -64.5873786 39.64455 64.58738
#> 593 60 30 18.9527897 -35.1315789 41.04721 65.13158
#> 594 100 45 60.3554502 -19.5873786 39.64455 64.58738
#> 595 20 35 -23.2958333 -29.5319149 43.29583 64.53191
#> 596 35 5 -8.2958333 -59.5319149 43.29583 64.53191
#> 597 168 50 126.9527897 -15.1315789 41.04721 65.13158
#> 598 22 90 -21.2958333 25.4680851 43.29583 64.53191
#> 599 60 0 20.3554502 -64.5873786 39.64455 64.58738
#> 600 24 10 -17.0472103 -55.1315789 41.04721 65.13158
#> 601 20 50 -19.6445498 -14.5873786 39.64455 64.58738
#> 602 70 10 24.4770642 -53.9018692 45.52294 63.90187
#> 603 25 65 -14.6445498 0.4126214 39.64455 64.58738
#> 604 6 100 -39.5229358 36.0981308 45.52294 63.90187
#> 605 18 95 -23.0472103 29.8684211 41.04721 65.13158
#> 606 10 95 -31.0472103 29.8684211 41.04721 65.13158
#> 607 15 100 -30.5229358 36.0981308 45.52294 63.90187
#> 608 20 95 -25.5229358 31.0981308 45.52294 63.90187
#> 609 20 90 -21.0472103 24.8684211 41.04721 65.13158
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#> 611 22 75 -23.5229358 11.0981308 45.52294 63.90187
#> 612 15 50 -28.2958333 -14.5319149 43.29583 64.53191
#> 613 48 45 6.9527897 -20.1315789 41.04721 65.13158
#> 614 80 30 36.7041667 -34.5319149 43.29583 64.53191
#> 615 77 85 31.4770642 21.0981308 45.52294 63.90187
#> 616 6 85 -39.5229358 21.0981308 45.52294 63.90187
#> 617 6 65 -35.0472103 -0.1315789 41.04721 65.13158
#> 618 8 85 -33.0472103 19.8684211 41.04721 65.13158
#> 619 20 80 -25.5229358 16.0981308 45.52294 63.90187
#> 620 20 40 -23.2958333 -24.5319149 43.29583 64.53191
#> 621 8 85 -33.0472103 19.8684211 41.04721 65.13158
#> 622 6 95 -39.5229358 31.0981308 45.52294 63.90187
#> 623 8 85 -33.0472103 19.8684211 41.04721 65.13158
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#> 626 10 85 -35.5229358 21.0981308 45.52294 63.90187
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#> 629 6 80 -39.5229358 16.0981308 45.52294 63.90187
#> 630 56 85 16.3554502 20.4126214 39.64455 64.58738
#> 631 6 85 -33.6445498 20.4126214 39.64455 64.58738
#> 632 8 25 -31.6445498 -39.5873786 39.64455 64.58738
#> 633 28 90 -15.2958333 25.4680851 43.29583 64.53191
#> 634 20 90 -25.5229358 26.0981308 45.52294 63.90187
#> 635 70 55 28.9527897 -10.1315789 41.04721 65.13158
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#> 639 10 80 -29.6445498 15.4126214 39.64455 64.58738
#> 640 10 55 -35.5229358 -8.9018692 45.52294 63.90187
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#> 646 28 70 -15.2958333 5.4680851 43.29583 64.53191
#> 647 14 NA -27.0472103 NA 41.04721 65.13158
#> 648 40 40 0.3554502 -24.5873786 39.64455 64.58738
#> 649 10 80 -33.2958333 15.4680851 43.29583 64.53191
#> 650 4 90 -35.6445498 25.4126214 39.64455 64.58738
#> 651 14 90 -27.0472103 24.8684211 41.04721 65.13158
#> 652 42 60 0.9527897 -5.1315789 41.04721 65.13158
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#> 654 65 20 19.4770642 -43.9018692 45.52294 63.90187
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#> 656 10 95 -33.2958333 30.4680851 43.29583 64.53191
#> 657 45 65 -0.5229358 1.0981308 45.52294 63.90187
#> 658 55 75 11.7041667 10.4680851 43.29583 64.53191
#> 659 50 75 6.7041667 10.4680851 43.29583 64.53191
#> 660 35 45 -8.2958333 -19.5319149 43.29583 64.53191
#> 661 40 80 -5.5229358 16.0981308 45.52294 63.90187
#> 662 15 90 -28.2958333 25.4680851 43.29583 64.53191
#> 663 8 95 -33.0472103 29.8684211 41.04721 65.13158
#> 664 25 60 -14.6445498 -4.5873786 39.64455 64.58738
#> 665 5 95 -38.2958333 30.4680851 43.29583 64.53191
#> 666 5 95 -34.6445498 30.4126214 39.64455 64.58738
#> 667 4 95 -35.6445498 30.4126214 39.64455 64.58738
#> 668 14 95 -29.2958333 30.4680851 43.29583 64.53191
#> 669 20 100 -21.0472103 34.8684211 41.04721 65.13158
#> 670 10 80 -29.6445498 15.4126214 39.64455 64.58738
#> 671 50 80 6.7041667 15.4680851 43.29583 64.53191
#> 672 16 75 -25.0472103 9.8684211 41.04721 65.13158
#> 673 22 70 -19.0472103 4.8684211 41.04721 65.13158
#> 674 100 NA 60.3554502 NA 39.64455 64.58738
#> 675 100 30 54.4770642 -33.9018692 45.52294 63.90187
#> 676 30 95 -9.6445498 30.4126214 39.64455 64.58738
#> 677 120 30 76.7041667 -34.5319149 43.29583 64.53191
#> 678 100 55 60.3554502 -9.5873786 39.64455 64.58738
#> 679 10 95 -29.6445498 30.4126214 39.64455 64.58738
#> 680 120 75 74.4770642 11.0981308 45.52294 63.90187
#> 681 6 100 -37.2958333 35.4680851 43.29583 64.53191
#> 682 6 95 -39.5229358 31.0981308 45.52294 63.90187
#> 683 5 90 -40.5229358 26.0981308 45.52294 63.90187
#> 684 10 65 -35.5229358 1.0981308 45.52294 63.90187
#> 685 9 90 -34.2958333 25.4680851 43.29583 64.53191
#> 686 9 95 -32.0472103 29.8684211 41.04721 65.13158
#> 687 12 95 -33.5229358 31.0981308 45.52294 63.90187
#> 688 20 90 -23.2958333 25.4680851 43.29583 64.53191
#> 689 10 95 -35.5229358 31.0981308 45.52294 63.90187
#> 690 160 70 118.9527897 4.8684211 41.04721 65.13158
#> 691 100 65 58.9527897 -0.1315789 41.04721 65.13158
#> 692 20 45 -19.6445498 -19.5873786 39.64455 64.58738
#> 693 56 50 14.9527897 -15.1315789 41.04721 65.13158
#> 694 7 95 -38.5229358 31.0981308 45.52294 63.90187
#> 695 35 10 -4.6445498 -54.5873786 39.64455 64.58738
#> 696 120 40 78.9527897 -25.1315789 41.04721 65.13158
#> 697 60 85 20.3554502 20.4126214 39.64455 64.58738
#> 698 10 5 -31.0472103 -60.1315789 41.04721 65.13158
#> 699 14 65 -29.2958333 0.4680851 43.29583 64.53191
#> 700 21 10 -18.6445498 -54.5873786 39.64455 64.58738
#> 701 10 75 -29.6445498 10.4126214 39.64455 64.58738
#> 702 7 100 -32.6445498 35.4126214 39.64455 64.58738
#> 703 18 40 -25.2958333 -24.5319149 43.29583 64.53191
#> 704 4 100 -41.5229358 36.0981308 45.52294 63.90187
#> 705 8 90 -35.2958333 25.4680851 43.29583 64.53191
#> 706 10 45 -29.6445498 -19.5873786 39.64455 64.58738
#> 707 6 80 -37.2958333 15.4680851 43.29583 64.53191
#> 708 10 90 -29.6445498 25.4126214 39.64455 64.58738
#> 709 30 55 -9.6445498 -9.5873786 39.64455 64.58738
#> 710 10 95 -31.0472103 29.8684211 41.04721 65.13158
#> 711 9 100 -30.6445498 35.4126214 39.64455 64.58738
#> 712 36 0 -9.5229358 -63.9018692 45.52294 63.90187
#> 713 15 60 -30.5229358 -3.9018692 45.52294 63.90187
#> 714 35 NA -10.5229358 NA 45.52294 63.90187
#> 715 21 65 -24.5229358 1.0981308 45.52294 63.90187
#> 716 168 45 126.9527897 -20.1315789 41.04721 65.13158
#> 717 168 40 128.3554502 -24.5873786 39.64455 64.58738
#> 718 10 85 -29.6445498 20.4126214 39.64455 64.58738
#> 719 6 100 -35.0472103 34.8684211 41.04721 65.13158
#> 720 20 55 -23.2958333 -9.5319149 43.29583 64.53191
#> 721 6 95 -39.5229358 31.0981308 45.52294 63.90187
#> 722 8 100 -31.6445498 35.4126214 39.64455 64.58738
#> 723 15 90 -26.0472103 24.8684211 41.04721 65.13158
#> 724 84 5 40.7041667 -59.5319149 43.29583 64.53191
#> 725 45 75 5.3554502 10.4126214 39.64455 64.58738
#> 726 40 70 -5.5229358 6.0981308 45.52294 63.90187
#> 727 90 0 48.9527897 -65.1315789 41.04721 65.13158
#> 728 35 90 -6.0472103 24.8684211 41.04721 65.13158
#> 729 70 65 30.3554502 0.4126214 39.64455 64.58738
#> 730 5 80 -40.5229358 16.0981308 45.52294 63.90187
#> 731 20 65 -25.5229358 1.0981308 45.52294 63.90187
#> 732 35 60 -8.2958333 -4.5319149 43.29583 64.53191
#> 733 8 90 -31.6445498 25.4126214 39.64455 64.58738
#> 734 30 5 -13.2958333 -59.5319149 43.29583 64.53191
#> 735 4 90 -39.2958333 25.4680851 43.29583 64.53191
#> 736 84 75 42.9527897 9.8684211 41.04721 65.13158
#> 737 10 90 -29.6445498 25.4126214 39.64455 64.58738
#> 738 25 75 -18.2958333 10.4680851 43.29583 64.53191
#> 739 60 95 18.9527897 29.8684211 41.04721 65.13158
#> 740 6 100 -35.0472103 34.8684211 41.04721 65.13158
#> 741 26 0 -13.6445498 -64.5873786 39.64455 64.58738
#> 742 12 90 -33.5229358 26.0981308 45.52294 63.90187
#> 743 25 70 -20.5229358 6.0981308 45.52294 63.90187
#> 744 15 100 -26.0472103 34.8684211 41.04721 65.13158
#> 745 50 25 6.7041667 -39.5319149 43.29583 64.53191
#> 746 18 85 -23.0472103 19.8684211 41.04721 65.13158
#> 747 12 75 -29.0472103 9.8684211 41.04721 65.13158
#> 748 22 75 -21.2958333 10.4680851 43.29583 64.53191
#> 749 21 55 -22.2958333 -9.5319149 43.29583 64.53191
#> 750 70 70 26.7041667 5.4680851 43.29583 64.53191
#> 751 168 30 128.3554502 -34.5873786 39.64455 64.58738
#> 752 5 15 -40.5229358 -48.9018692 45.52294 63.90187
#> 753 30 65 -11.0472103 -0.1315789 41.04721 65.13158
#> 754 70 40 30.3554502 -24.5873786 39.64455 64.58738
#> 755 168 90 126.9527897 24.8684211 41.04721 65.13158
#> 756 9 95 -30.6445498 30.4126214 39.64455 64.58738
#> 757 6 90 -35.0472103 24.8684211 41.04721 65.13158
#> 758 4 35 -37.0472103 -30.1315789 41.04721 65.13158
#> 759 20 45 -25.5229358 -18.9018692 45.52294 63.90187
#> 760 8 85 -37.5229358 21.0981308 45.52294 63.90187
#> 761 14 80 -29.2958333 15.4680851 43.29583 64.53191
#> 762 9 50 -34.2958333 -14.5319149 43.29583 64.53191
#> 763 6 90 -33.6445498 25.4126214 39.64455 64.58738
#> 764 14 95 -31.5229358 31.0981308 45.52294 63.90187
#> 765 7 90 -38.5229358 26.0981308 45.52294 63.90187
#> 766 6 100 -35.0472103 34.8684211 41.04721 65.13158
#> 767 20 70 -19.6445498 5.4126214 39.64455 64.58738
#> 768 20 70 -21.0472103 4.8684211 41.04721 65.13158
#> 769 48 85 6.9527897 19.8684211 41.04721 65.13158
#> 770 10 90 -33.2958333 25.4680851 43.29583 64.53191
#> 771 5 100 -38.2958333 35.4680851 43.29583 64.53191
#> 772 6 85 -37.2958333 20.4680851 43.29583 64.53191
#> 773 8 75 -33.0472103 9.8684211 41.04721 65.13158
#> 774 8 100 -35.2958333 35.4680851 43.29583 64.53191
#> 775 8 65 -37.5229358 1.0981308 45.52294 63.90187
#> 776 8 80 -31.6445498 15.4126214 39.64455 64.58738
#> 777 4 90 -39.2958333 25.4680851 43.29583 64.53191
#> 778 4 80 -35.6445498 15.4126214 39.64455 64.58738
#> 779 8 85 -33.0472103 19.8684211 41.04721 65.13158
#> 780 25 60 -18.2958333 -4.5319149 43.29583 64.53191
#> 781 20 90 -19.6445498 25.4126214 39.64455 64.58738
#> 782 6 85 -35.0472103 19.8684211 41.04721 65.13158
#> 783 21 65 -24.5229358 1.0981308 45.52294 63.90187
#> 784 28 75 -17.5229358 11.0981308 45.52294 63.90187
#> 785 70 45 28.9527897 -20.1315789 41.04721 65.13158
#> 786 8 70 -31.6445498 5.4126214 39.64455 64.58738
#> 787 21 20 -18.6445498 -44.5873786 39.64455 64.58738
#> 788 28 70 -17.5229358 6.0981308 45.52294 63.90187
#> 789 14 20 -25.6445498 -44.5873786 39.64455 64.58738
#> 790 4 100 -41.5229358 36.0981308 45.52294 63.90187
#> 791 5 100 -34.6445498 35.4126214 39.64455 64.58738
#> 792 6 95 -37.2958333 30.4680851 43.29583 64.53191
#> 793 7 90 -36.2958333 25.4680851 43.29583 64.53191
#> 794 140 40 98.9527897 -25.1315789 41.04721 65.13158
#> 795 4 90 -39.2958333 25.4680851 43.29583 64.53191
#> 796 8 90 -35.2958333 25.4680851 43.29583 64.53191
#> 797 7 90 -38.5229358 26.0981308 45.52294 63.90187
#> 798 8 95 -31.6445498 30.4126214 39.64455 64.58738
#> 799 7 100 -32.6445498 35.4126214 39.64455 64.58738
#> 800 30 60 -13.2958333 -4.5319149 43.29583 64.53191
#> 801 40 60 -5.5229358 -3.9018692 45.52294 63.90187
#> 802 50 45 4.4770642 -18.9018692 45.52294 63.90187
#> 803 35 55 -6.0472103 -10.1315789 41.04721 65.13158
#> 804 42 15 -3.5229358 -48.9018692 45.52294 63.90187
#> 805 40 85 -5.5229358 21.0981308 45.52294 63.90187
#> 806 168 85 122.4770642 21.0981308 45.52294 63.90187
#> 807 150 80 104.4770642 16.0981308 45.52294 63.90187
#> 808 168 60 126.9527897 -5.1315789 41.04721 65.13158
#> 809 168 40 128.3554502 -24.5873786 39.64455 64.58738
#> 810 168 45 122.4770642 -18.9018692 45.52294 63.90187
#> 811 14 60 -31.5229358 -3.9018692 45.52294 63.90187
#> 812 6 85 -37.2958333 20.4680851 43.29583 64.53191
#> 813 8 70 -37.5229358 6.0981308 45.52294 63.90187
#> 814 22 55 -17.6445498 -9.5873786 39.64455 64.58738
#> 815 10 95 -29.6445498 30.4126214 39.64455 64.58738
#> 816 6 90 -35.0472103 24.8684211 41.04721 65.13158
#> 817 30 90 -13.2958333 25.4680851 43.29583 64.53191
#> 818 8 90 -33.0472103 24.8684211 41.04721 65.13158
#> 819 10 100 -31.0472103 34.8684211 41.04721 65.13158
#> 820 10 65 -33.2958333 0.4680851 43.29583 64.53191
#> 821 12 95 -33.5229358 31.0981308 45.52294 63.90187
#> 822 20 95 -21.0472103 29.8684211 41.04721 65.13158
#> 823 15 85 -26.0472103 19.8684211 41.04721 65.13158
#> 824 20 75 -19.6445498 10.4126214 39.64455 64.58738
#> 825 15 80 -26.0472103 14.8684211 41.04721 65.13158
#> 826 20 90 -19.6445498 25.4126214 39.64455 64.58738
#> 827 25 95 -14.6445498 30.4126214 39.64455 64.58738
#> 828 7 65 -38.5229358 1.0981308 45.52294 63.90187
#> 829 4 95 -37.0472103 29.8684211 41.04721 65.13158
#> 830 20 40 -25.5229358 -23.9018692 45.52294 63.90187
#> 831 10 90 -35.5229358 26.0981308 45.52294 63.90187
#> 832 50 40 6.7041667 -24.5319149 43.29583 64.53191
#> 833 20 85 -23.2958333 20.4680851 43.29583 64.53191
#> 834 25 90 -18.2958333 25.4680851 43.29583 64.53191
#> 835 5 95 -36.0472103 29.8684211 41.04721 65.13158
#> 836 7 90 -34.0472103 24.8684211 41.04721 65.13158
#> 837 5 95 -36.0472103 29.8684211 41.04721 65.13158
#> 838 12 95 -33.5229358 31.0981308 45.52294 63.90187
#> 839 35 80 -8.2958333 15.4680851 43.29583 64.53191
#> 840 35 65 -4.6445498 0.4126214 39.64455 64.58738
#> 841 30 10 -15.5229358 -53.9018692 45.52294 63.90187
#> 842 40 70 0.3554502 5.4126214 39.64455 64.58738
#> 843 15 90 -24.6445498 25.4126214 39.64455 64.58738
#> 844 10 90 -31.0472103 24.8684211 41.04721 65.13158
#> 845 8 95 -35.2958333 30.4680851 43.29583 64.53191
#> 846 5 80 -36.0472103 14.8684211 41.04721 65.13158
#> 847 14 95 -25.6445498 30.4126214 39.64455 64.58738
#> 848 14 95 -25.6445498 30.4126214 39.64455 64.58738
#> 849 6 95 -33.6445498 30.4126214 39.64455 64.58738
#> 850 14 90 -31.5229358 26.0981308 45.52294 63.90187
#> 851 7 90 -32.6445498 25.4126214 39.64455 64.58738
#> 852 20 55 -19.6445498 -9.5873786 39.64455 64.58738
#> 853 6 95 -39.5229358 31.0981308 45.52294 63.90187
#> 854 10 100 -33.2958333 35.4680851 43.29583 64.53191
#> 855 30 55 -13.2958333 -9.5319149 43.29583 64.53191
#> 856 14 70 -25.6445498 5.4126214 39.64455 64.58738
#> 857 10 85 -33.2958333 20.4680851 43.29583 64.53191
#> 858 10 80 -29.6445498 15.4126214 39.64455 64.58738
#> 859 28 85 -15.2958333 20.4680851 43.29583 64.53191
#> 860 8 100 -33.0472103 34.8684211 41.04721 65.13158
#> 861 6 100 -39.5229358 36.0981308 45.52294 63.90187
#> 862 20 100 -19.6445498 35.4126214 39.64455 64.58738
#> 863 5 95 -34.6445498 30.4126214 39.64455 64.58738
#> 864 7 95 -36.2958333 30.4680851 43.29583 64.53191
#> 865 20 90 -25.5229358 26.0981308 45.52294 63.90187
#> 866 18 100 -21.6445498 35.4126214 39.64455 64.58738
#> 867 12 90 -33.5229358 26.0981308 45.52294 63.90187
#> 868 17 90 -26.2958333 25.4680851 43.29583 64.53191
#> 869 14 85 -29.2958333 20.4680851 43.29583 64.53191
#> 870 5 100 -38.2958333 35.4680851 43.29583 64.53191
#> 871 6 100 -33.6445498 35.4126214 39.64455 64.58738
#> 872 4 100 -39.2958333 35.4680851 43.29583 64.53191
#> 873 4 100 -35.6445498 35.4126214 39.64455 64.58738
#> 874 6 100 -33.6445498 35.4126214 39.64455 64.58738
#> 875 10 100 -35.5229358 36.0981308 45.52294 63.90187
#> 876 6 100 -39.5229358 36.0981308 45.52294 63.90187
#> 877 14 10 -27.0472103 -55.1315789 41.04721 65.13158
#> 878 30 65 -15.5229358 1.0981308 45.52294 63.90187
#> 879 35 50 -4.6445498 -14.5873786 39.64455 64.58738
#> 880 10 100 -31.0472103 34.8684211 41.04721 65.13158
#> 881 100 100 58.9527897 34.8684211 41.04721 65.13158
#> 882 8 100 -31.6445498 35.4126214 39.64455 64.58738
#> 883 10 100 -35.5229358 36.0981308 45.52294 63.90187
#> 884 20 35 -25.5229358 -28.9018692 45.52294 63.90187
#> 885 40 55 -3.2958333 -9.5319149 43.29583 64.53191
#> 886 40 65 0.3554502 0.4126214 39.64455 64.58738
#> 887 40 10 -5.5229358 -53.9018692 45.52294 63.90187
#> 888 6 60 -35.0472103 -5.1315789 41.04721 65.13158
#> 889 30 85 -13.2958333 20.4680851 43.29583 64.53191
#> 890 28 85 -15.2958333 20.4680851 43.29583 64.53191
#> 891 20 85 -23.2958333 20.4680851 43.29583 64.53191
#> 892 25 70 -14.6445498 5.4126214 39.64455 64.58738
#> 893 30 55 -9.6445498 -9.5873786 39.64455 64.58738
#> 894 50 50 10.3554502 -14.5873786 39.64455 64.58738
#> 895 20 70 -21.0472103 4.8684211 41.04721 65.13158
#> 896 15 100 -26.0472103 34.8684211 41.04721 65.13158
#> 897 110 35 66.7041667 -29.5319149 43.29583 64.53191
#> 898 28 80 -15.2958333 15.4680851 43.29583 64.53191
#> 899 85 70 39.4770642 6.0981308 45.52294 63.90187
#> 900 160 25 120.3554502 -39.5873786 39.64455 64.58738
#> 901 10 100 -33.2958333 35.4680851 43.29583 64.53191
#> 902 8 85 -31.6445498 20.4126214 39.64455 64.58738
#> 903 NA NA NA NA 41.04721 65.13158
#> 904 NA NA NA NA 41.04721 65.13158
#> 905 NA NA NA NA 45.52294 63.90187
#> 906 NA NA NA NA 45.52294 63.90187
#> 907 NA NA NA NA 43.29583 64.53191
#> 908 NA NA NA NA 39.64455 64.58738