This code gives me the average of 2 lines and the Standard Deviation. I am not sure though whether it calculates the Standard Deviation from each row of the 2 variables or it calculates it from one common X value for both variables. I want it to be the later one. In my full data the X axis of both values is normalised from 0-100. However, as you can see the x value on the 1st variable is slightly different from the 2nd, and it also has missing values. My aim is to be able to plot an average line of the 2, being calculated from a common x value for both variables and also the average line to show ± SD. Anyone can help me with this? Thank you in advance. '''
setwd()
library(ggplot2)
test = read.csv("foldername.csv")
library(data.table)
library(ggplot2)
newdat <- data.table::melt(as.data.table(test),
measure = patterns("^distance","^grey"),
value.name = c("distance", "grey"))
newdat
test$mean <- (test$grey1 test$grey2) / 2
test$d <- (test$distance1 test$distance2) / 2
test$sd <- unlist(Map(function(a, b) sd(c(a, b)), test$grey1, test$grey2))
ggplot(newdat)
geom_line(aes(distance, grey, color = variable))
geom_ribbon(data = test, aes(d, ymin = mean - sd, ymax = mean sd),
alpha = 0.15)
geom_line(data = test, aes(d, mean, color = "Avg"))
geom_point(data = test, aes(d, mean))
geom_point(aes(distance, grey))
theme_light(base_size = 16)
CodePudding user response：
distance1 gray1 distance2 grey2 distance3 grey3
0 1042.785 0 1044.665 0 1200.192
0.195386947 1039.821 0.227877345 1053.033 0.234281375 1212.334
0.390773894 1041.813 0.455754691 1058.786 0.46856275 1217.542
0.585860708 1037.697 0.683281994 1056.7 0.702484246 1215.882
0.781247655 1043.458 0.911159339 1063.985 0.936765621 1217.297
0.976634602 1040.869 1.139036684 1071.012 1.171046997 1220.952
1.17202155 1045.371 1.36691403 1067.917 1.405328372 1214.435
1.367108363 1048.531 1.594441333 1068.959 1.639249868 1206.786
1.56249531 1046.701 1.822318678 1071.712 1.873531243 1214.916
1.757882258 1046.911 2.050196024 1073.503 2.107812618 1227.63
1.953269205 1048.985 2.278073369 1071.605 2.342093993 1228.631
2.148356018 1042.638 2.505600672 1076.041 2.576015489 1222.493
2.343742966 1048.493 2.733478017 1071.618 2.810296864 1225.806
2.539129913 1050.859 2.961355363 1077.015 3.04457824 1234.175
2.73451686 1049.103 3.189232708 1085.241 3.278859615 1231.391
2.929603674 1048.691 3.416760011 1089.369 3.512781111 1240.373
3.124990621 1051.555 3.644637356 1088.564 3.747062486 1247.924
3.320377568 1052.885 3.872514702 1086.538 3.981343861 1244.93
3.515764515 1048.694 4.100392047 1097.495 4.215625236 1252.445
3.710851329 1046.575 4.32791935 1096.249 4.449546732 1248.823
3.906238276 1048.734 4.555796696 1097.516 4.683828107 1255.153
4.101625223 1047.27 4.783674041 1093.409 4.918109482 1255.064
4.29701217 1045.747 5.011551386 1093.76 5.152390858 1254.582
4.492098984 1048.787 5.239078689 1097.244 5.386312354 1264.992
4.687485931 1047.795 5.466956035 1094.916 5.620593729 1260.951
4.882872878 1055.342 5.69483338 1094.181 5.854875104 1258.917
5.078259826 1052.105 5.922710725 1110.82 6.089156479 1271.708
5.273346639 1059.567 6.150238029 1104.228 6.323077975 1264.552
5.468733586 1060.937 6.378115374 1104.371 6.55735935 1256.417
5.664120534 1053.673 6.605992719 1100.831 6.791640725 1260.252
5.859507481 1055.474 6.833870064 1100.399 7.025922101 1256.935
6.054594294 1055.06 7.061397368 1104.706 7.259843596 1269.913
6.249981242 1062.142 7.289274713 1105.707 7.494124972 1258.87
6.445368189 1057.556 7.517152058 1102.611 7.728406347 1263.644
6.640755136 1060.193 7.745029404 1108.61 7.962687722 1265.441
6.83584195 1056.597 7.972556707 1112.92 8.196609218 1260.239
7.031228897 1067.107 8.200434052 1113.085 8.430890593 1266.42
7.226615844 1062.53 8.428311397 1115.292 8.665171968 1267.115
7.422002791 1064.208 8.656188743 1110.612 8.899453343 1261.555
7.617089605 1068.159 8.883716046 1110.147 9.133374839 1273.59
7.812476552 1068.63 9.111593391 1114.918 9.367656215 1270.774
8.007863499 1071.127 9.339470736 1113.384 9.60193759 1261.617
8.203250446 1069.542 9.567348082 1111.732 9.836218965 1263.81
8.39833726 1070.19 9.794875385 1109.679 10.07014046 1266.964
8.593724207 1079.781 10.02275273 1109.003 10.30442184 1268.929
8.789111154 1075.442 10.25063008 1114.957 10.53870321 1261.915
8.984498102 1072.463 10.47850742 1120.371 10.77298459 1273.484
9.179584915 1076.578 10.70603472 1120.071 11.00690608 1272.091
9.374971862 1076.262 10.93391207 1122.063 11.24118746 1267.805
9.57035881 1080.995 11.16178941 1124.497 11.47546883 1268.162
9.765745757 1080.967 11.38966676 1135.618 11.70975021 1268.836
9.96083257 1081.731 11.61719406 1136.011 11.9436717 1271.251
10.15621952 1091.051 11.84507141 1123.679 12.17795308 1265.521
10.35160646 1085.902 12.07294875 1135.364 12.41223445 1260.88
10.54699341 1087.284 12.3008261 1142.031 12.64651583 1259.269
10.74208023 1101.745 12.5283534 1136.739 12.88043733 1264.392
10.93746717 1097.782 12.75623075 1135.531 13.1147187 1267.703
11.13285412 1102.222 12.98410809 1144.287 13.34900008 1260.322
11.32824107 1099.452 13.21198544 1146.434 13.58328145 1259.842
11.52332788 1106.742 13.43951274 1145.084 13.81720295 1262.868
11.71871483 1106.248 13.66739009 1148.82 14.05148432 1265.225
11.91410178 1113.173 13.89526743 1148.494 14.2857657 1272.55
12.10948872 1110.402 14.12314478 1160.856 14.52004707 1270.038
12.30457554 1121.621 14.35067208 1159.72 14.75396857 1275.29
12.49996248 1118.431 14.57854943 1164.241 14.98824994 1278.44
12.69534943 1121.764 14.80642677 1162.461 15.22253132 1277.094
12.89073638 1126.576 15.03430412 1169.802 15.45681269 1276.44
13.08582319 1130.101 15.26183142 1164.974 15.69073419 1286.831
13.28121014 1140.481 15.48970877 1168.441 15.92501556 1291.644
13.47659709 1140.594 15.71758611 1168.935 16.15929694 1298.652
13.67198403 1147.892 15.94546346 1164.132 16.39357832 1295.963
13.86707085 1151.127 16.17299076 1175.286 16.62749981 1292.062
14.06245779 1164.337 16.4008681 1171.964 16.86178119 1293.062
14.25784474 1163.867 16.62874545 1177.042 17.09606256 1299.555
14.45323169 1176.062 16.85662279 1178.729 17.33034394 1293.133
14.6483185 1179.273 17.0841501 1178.849 17.56426543 1289.666
14.84370545 1184.558 17.31202744 1189.056 17.79854681 1300.859
15.0390924 1199.634 17.53990479 1179.348 18.03282818 1306.159
15.23447934 1202.2 17.76778213 1178.475 18.26710956 1295.766
15.42956616 1212.207 17.99530944 1181.635 18.50103105 1305.796
15.6249531 1215.651 18.22318678 1185.596 18.73531243 1308.884
15.82034005 1220.462 18.45106413 1185.594 18.9695938 1306.153
16.015727 1225.722 18.67894147 1187.991 19.20387518 1304.794
16.21081381 1238.398 18.90646878 1193.549 19.43779668 1304.268
16.40620076 1240.127 19.13434612 1183.931 19.67207805 1304.158
16.60158771 1242.841 19.36222347 1177.376 19.90635943 1311.717
16.79697465 1255.348 19.59010081 1187.719 20.1406408 1302.97
16.99206147 1255.422 19.81762812 1194.028 20.3745623 1299.852
17.18744841 1257.395 20.04550546 1196.38 20.60884367 1306.7
17.38283536 1254.955 20.27338281 1199.424 20.84312505 1299.812
17.57822231 1261.917 20.50126015 1191.503 21.07740642 1305.75
17.77330912 1259.959 20.72878745 1197.416 21.31132792 1309.79
17.96869607 1262.609 20.9566648 1200.042 21.54560929 1306.776
18.16408302 1261.415 21.18454215 1196.512 21.77989067 1302.339
18.35946996 1265.141 21.41241949 1204.008 22.01417204 1312.566
18.55455678 1270.111 21.63994679 1208.454 22.24809354 1308.931
18.74994372 1283.496 21.86782414 1206.104 22.48237491 1306.14
18.94533067 1280.073 22.09570148 1202.004 22.71665629 1298.986
19.14071762 1276.348 22.32357883 1209.411 22.95093767 1298.414
19.33580443 1276.538 22.55110613 1217.433 23.18485916 1305.019
19.53119138 1280.927 22.77898348 1211.858 23.41914054 1304.943
19.72657833 1278.517 23.00686082 1212.866 23.65342191 1303.843
19.92196527 1273.389 23.23473817 1219.386 23.88770329 1312.771
20.11705209 1265.021 23.46226547 1211.222 24.12162478 1312.889
20.31243904 1270.686 23.69014282 1214.322 24.35590616 1300.83
20.50782598 1271.871 23.91802016 1205.37 24.59018753 1303.399
20.70321293 1270.333 24.14589751 1207.617 24.82446891 1296.856
20.89829974 1266.767 24.37342481 1207.627 25.0583904 1313.285
21.09368669 1270.221 24.60130216 1202.03 25.29267178 1316.43
21.28907364 1261.229 24.8291795 1202.048 25.52695315 1319.065
21.48446058 1264.154 25.05705685 1211.856 25.76123453 1319.923
21.6795474 1265.315 25.28458415 1216.535 25.99515603 1323.764
21.87493435 1259.762 25.5124615 1218.574 26.2294374 1331.434
22.07032129 1250.067 25.74033884 1214.723 26.46371878 1331.983
22.26570824 1248.453 25.96821619 1220.235 26.69800015 1333.196
22.46079505 1258.728 26.19574349 1222.794 26.93192165 1329.207
22.656182 1263.645 26.42362083 1217.513 27.16620302 1339.686
22.85156895 1263.428 26.65149818 1214.087 27.4004844 1332.976
23.0469559 1266.516 26.87937553 1225.965 27.63476577 1327.948
23.24204271 1268.666 27.10690283 1235.721 27.86868727 1325.549
23.43742966 1255.853 27.33478017 1229.547 28.10296864 1328.612
23.6328166 1259.221 27.56265752 1231.347 28.33725002 1330.375
23.82820355 1261.574 27.79053486 1234.503 28.57153139 1325.951
24.02329036 1270.838 28.01806217 1230.809 28.80545289 1330.339
24.21867731 1273.371 28.24593951 1237.396 29.03973427 1327.25
24.41406426 1269.835 28.47381686 1236.809 29.27401564 1330.634
24.60945121 1266.713 28.7016942 1241.027 29.50829702 1320.868
24.80453802 1275.839 28.92922151 1240.808 29.74221851 1321.274
24.99992497 1274.524 29.15709885 1237.861 29.97649989 1322.013
25.19531191 1273.947 29.3849762 1244.811 30.21078126 1324.63
25.39069886 1273.316 29.61285354 1256.42 30.44506264 1322.006
25.58578567 1270.673 29.84038085 1255.099 30.67898413 1326.767
25.78117262 1272.068 30.06825819 1258.272 30.91326551 1318.591
25.97655957 1276.38 30.29613554 1262.526 31.14754688 1319.324
26.17194652 1274.375 30.52401288 1256.864 31.38182826 1323.928
26.36703333 1269.057 30.75154018 1259.304 31.61574975 1321.33
26.56242028 1278.399 30.97941753 1266.155 31.85003113 1319.697
26.75780722 1279.283 31.20729488 1264.378 32.0843125 1322.651
26.95319417 1286.107 31.43517222 1260.529 32.31859388 1329.691
27.14828099 1288.766 31.66269952 1259.727 32.55251538 1330.029
27.34366793 1284.196 31.89057687 1257.918 32.78679675 1335.289
27.53905488 1276.177 32.11845421 1261.104 33.02107813 1337.297
27.73444183 1280.679 32.34633156 1264.63 33.2553595 1330.079
27.92952864 1277.787 32.57385886 1262.937 33.489281 1335.586
28.12491559 1283.116 32.80173621 1266.648 33.72356237 1340.431
28.32030253 1284.408 33.02961355 1260.039 33.95784375 1346.398
28.51568948 1275.073 33.2574909 1257.602 34.19212512 1347.401
28.71107643 1275.578 33.48536824 1245.593 34.4264065 1345.878
28.90616324 1280.876 33.71289555 1259.246 34.66032799 1337.836
29.10155019 1280.23 33.94077289 1263.294 34.89460937 1334.334
29.29693714 1272.904 34.16865024 1258.028 35.12889074 1331.395
29.49232408 1277.38 34.39652758 1258.524 35.36317212 1324.142
29.6874109 1270.53 34.62405489 1259.911 35.59709362 1326.864
29.88279785 1269.179 34.85193223 1263.922 35.83137499 1329.095
30.07818479 1270.867 35.07980958 1269.997 36.06565637 1325.685
30.27357174 1267.747 35.30768692 1269.89 36.29993774 1325.067
30.46865855 1268.156 35.53521423 1269.676 36.53385924 1319.241
30.6640455 1262.504 35.76309157 1279.297 36.76814061 1317.559
30.85943245 1270.514 35.99096892 1276.366 37.00242199 1316.047
31.05481939 1262.134 36.21884626 1270.392 37.23670336 1316.642
31.24990621 1267.405 36.44637356 1275.914 37.47062486 1308.388
31.44529316 1271.278 36.67425091 1267.72 37.70490623 1311.707
31.6406801 1266.706 36.90212826 1271.408 37.93918761 1308.14
31.83606705 1267.077 37.1300056 1273.148 38.17346898 1307.796
32.03115386 1260.824 37.3575329 1276.741 38.40739048 1307.959
32.22654081 1262.083 37.58541025 1272.879 38.64167185 1306.284
32.42192776 1262.978 37.81328759 1265.619 38.87595323 1301.775
32.61731471 1263.02 38.04116494 1266.175 39.11023461 1314.69
32.81240152 1258.545 38.26869224 1270.528 39.3441561 1309.956
33.00778847 1265.995 38.49656959 1267.736 39.57843748 1307.676
33.20317541 1262.967 38.72444693 1265.208 39.81271885 1305.026
33.39856236 1267.341 38.95232428 1262.028 40.04700023 1303.623
33.59364917 1264.786 39.17985158 1267.735 40.28092172 1297.713
33.78903612 1262.82 39.40772893 1269.511 40.5152031 1297.501
33.98442307 1268.272 39.63560627 1274.675 40.74948447 1295.841
34.17981002 1261.765 39.86348362 1266.729 40.98376585 1292.558
34.37489683 1262.576 40.09101092 1268.411 41.21768734 1292.379
34.57028378 1258.144 40.31888827 1271.119 41.45196872 1293.682
34.76567072 1261.936 40.54676561 1270.274 41.68625009 1290.106
34.96105767 1266.564 40.77464296 1278.749 41.92053147 1279.904
35.15614448 1266.756 41.00217026 1280.645 42.15445297 1282.822
35.35153143 1267.157 41.23004761 1268.709 42.38873434 1274.595
35.54691838 1259.672 41.45792495 1272.349 42.62301572 1281.033
35.74230533 1268.914 41.6858023 1277.417 42.85729709 1283.563
35.93739214 1254.852 41.9133296 1285.868 43.09121859 1284.36
36.13277909 1257.348 42.14120694 1284.004 43.32549996 1280.907
36.32816603 1257.96 42.36908429 1295.894 43.55978134 1283.262
36.52355298 1247.64 42.59696164 1279.08 43.79406271 1274.061
36.71863979 1256.518 42.82448894 1292.385 44.02798421 1279.032
36.91402674 1250.124 43.05236628 1295.563 44.26226558 1281.568
37.10941369 1247.72 43.28024363 1293.011 44.49654696 1284.691
37.30480064 1244.501 43.50812097 1295.585 44.73082833 1287.341
37.49988745 1262.397 43.73564828 1297.248 44.96474983 1280.797
37.6952744 1267.534 43.96352562 1296.157 45.19903121 1286.481
37.89066134 1255.294 44.19140297 1304.498 45.43331258 1280.994
38.08604829 1254.956 44.41928031 1297.142 45.66759396 1286.02
38.28113511 1261.282 44.64680762 1289.692 45.90151545 1279.334
38.47652205 1267.596 44.87468496 1294.326 46.13579683 1265.482
38.671909 1256.404 45.10256231 1295.012 46.3700782 1272.581
38.86729595 1266.605 45.33043965 1293.822 46.60435958 1261.219
39.06238276 1265.015 45.55796696 1290.819 46.83828107 1262.109
39.25776971 1259.04 45.7858443 1285.323 47.07256245 1263.576
39.45315665 1262.89 46.01372165 1283.232 47.30684382 1259.797
39.6485436 1250.507 46.24159899 1289.957 47.5411252 1266.345
39.84363042 1253.144 46.4691263 1291.784 47.77504669 1256.556
40.03901736 1256.887 46.69700364 1286.12 48.00932807 1258.346
40.23440431 1253.23 46.92488099 1282.41 48.24360944 1265.127
40.42979126 1243.157 47.15275833 1283.986 48.47789082 1271.631
40.62487807 1247.459 47.38028563 1281.936 48.71181232 1270.644
40.82026502 1236.372 47.60816298 1281.947 48.94609369 1270.149
41.01565197 1240.389 47.83604032 1279.841 49.18037507 1271.337
41.21103891 1241.786 48.06391767 1273.789 49.41465644 1271.843
41.40612573 1243.51 48.29144497 1280.297 49.64857794 1272.989
41.60151267 1240.374 48.51932232 1282.257 49.88285931 1272.105
41.79689962 1239.282 48.74719966 1274.528 50.11714069 1259.891
41.99228657 1237.781 48.97507701 1275.872 50.35142206 1265.185
42.18737338 1227.766 49.20260431 1281.407 50.58534356 1261.342
42.38276033 1221.885 49.43048166 1272.137 50.81962493 1262.537
42.57814728 1230.133 49.658359 1272.458 51.05390631 1254.1
42.77353422 1228.39 49.88623635 1276.477 51.28818768 1250.648
42.96862104 1231.625 50.11376365 1276.906 51.52210918 1253.437
43.16400798 1222.88 50.341641 1275.092 51.75639056 1252.758
43.35939493 1222.077 50.56951834 1270.251 51.99067193 1243.454
43.55478188 1205.827 50.79739569 1273.155 52.22495331 1248.885
43.74986869 1215 51.02492299 1267.187 52.4588748 1240.177
43.94525564 1206.464 51.25280034 1263.293 52.69315618 1242.195
44.14064259 1213.185 51.48067768 1272.024 52.92743755 1233.923
44.33602953 1207.712 51.70855503 1271.514 53.16171893 1228.824
44.53111635 1208.891 51.93608233 1275.289 53.39564042 1232.582
44.72650329 1204.577 52.16395968 1270.977 53.6299218 1232.048
44.92189024 1212.341 52.39183702 1282.892 53.86420317 1232.551
45.11727719 1206.814 52.61971437 1278.11 54.09848455 1229.491
45.312364 1199.861 52.84724167 1280.85 54.33240604 1234
45.50775095 1191.17 53.07511901 1277.2 54.56668742 1235.219
45.7031379 1195.391 53.30299636 1281.152 54.80096879 1237.032
45.89852484 1196.429 53.5308737 1283.686 55.03525017 1237.628
46.09361166 1201.87 53.75840101 1280.803 55.26917167 1237.014
46.2889986 1202.308 53.98627835 1282.1 55.50345304 1247.458
46.48438555 1199.01 54.2141557 1278.739 55.73773442 1254.408
46.6797725 1191.272 54.44203304 1270.621 55.97201579 1262.279
46.87485931 1185.373 54.66956035 1281.76 56.20593729 1268.596
47.07024626 1182.136 54.89743769 1280.316 56.44021866 1268.195
47.26563321 1178.456 55.12531504 1276.358 56.67450004 1274.734
47.46102015 1188.129 55.35319238 1283.118 56.90878141 1286.824
47.65610697 1189.636 55.58071969 1281.043 57.14270291 1291.14
47.85149391 1193.698 55.80859703 1282.239 57.37698428 1300.478
48.04688086 1185.979 56.03647438 1276.929 57.61126566 1300.545
48.24226781 1191.271 56.26435172 1289.537 57.84554703 1313.551
48.43735462 1192.961 56.49187903 1296.965 58.07946853 1312.275
48.63274157 1190.991 56.71975637 1298.647 58.31374991 1320.119
48.82812852 1185.052 56.94763372 1312.614 58.54803128 1318.936
49.02351546 1191.066 57.17551106 1315.535 58.78231266 1330.281
49.21860228 1190.043 57.40303836 1320.54 59.01623415 1327.708
49.41398923 1186.524 57.63091571 1329.055 59.25051553 1326.495
49.60937617 1180.292 57.85879306 1320.027 59.4847969 1341.372
49.80476312 1182.784 58.0866704 1325.3 59.71907828 1348.28
49.99984993 1179.376 58.3141977 1314.137 59.95299977 1357.462
50.19523688 1176.451 58.54207505 1316.386 60.18728115 1359.423
50.39062383 1175.014 58.76995239 1316.119 60.42156252 1365.734
50.58601077 1175.495 58.99782974 1318.764 60.6558439 1370.08
50.78109759 1174.257 59.22535704 1334.29 60.88976539 1372.876
50.97648454 1187.144 59.45323439 1334.159 61.12404677 1387.1
51.17187148 1185.775 59.68111173 1356.101 61.35832815 1396.225
51.36725843 1188.639 59.90898908 1350.83 61.59260952 1407.736
51.56234524 1185.028 60.13651638 1354.13 61.82653102 1415.577
51.75773219 1186.037 60.36439373 1367.271 62.06081239 1435.526
51.95311914 1190.458 60.59227107 1375.902 62.29509377 1451.533
52.14850609 1188.198 60.82014842 1394.84 62.52937514 1471.518
52.3435929 1185.897 61.04767572 1401.792 62.76329664 1495.467
52.53897985 1188.896 61.27555307 1407.609 62.99757801 1519.875
52.73436679 1181.076 61.50343041 1422.148 63.23185939 1545.549
52.92975374 1177.398 61.73130776 1431.899 63.46614076 1568.987
53.12484055 1179.343 61.95883506 1437.025 63.70006226 1599.854
53.3202275 1178.094 62.18671241 1448.6 63.93434363 1636.341
53.51561445 1182.618 62.41458975 1457.882 64.16862501 1657.11
53.7110014 1178.708 62.6424671 1463.948 64.40290638 1679.032
53.90608821 1179.489 62.8699944 1471.205 64.63682788 1720.26
54.10147516 1180.855 63.09787174 1479.598 64.87110926 1750.025
54.2968621 1180.77 63.32574909 1479.287 65.10539063 1774.429
54.49224905 1180.362 63.55362644 1475.932 65.33967201 1792.277
54.68733586 1172.25 63.78115374 1490.668 65.5735935 1808.372
54.88272281 1178.812 64.00903108 1500.34 65.80787488 1830.696
55.07810976 1176.289 64.23690843 1510.222 66.04215625 1852.178
55.27349671 1180.064 64.46478577 1530.78 66.27643763 1868.419
55.46858352 1177.502 64.69231308 1528.691 66.51035912 1887.312
55.66397047 1180.039 64.92019042 1528.815 66.7446405 1907.991
55.85935741 1174.591 65.14806777 1531.351 66.97892187 1917
56.05474436 1179.807 65.37594511 1547.44 67.21320325 1917.319
56.25013131 1181.26 65.60382246 1541.742 67.44748462 1931.076
56.44521812 1183.912 65.83134976 1550.731 67.68140612 1935.605
56.64060507 1183.677 66.05922711 1554.437 67.9156875 1951.967
56.83599202 1180.237 66.28710445 1560.202 68.14996887 1959.203
57.03137896 1182.418 66.5149818 1576.801 68.38425025 1974.814
57.22646578 1193.587 66.7425091 1579.647 68.61817174 1975.935
57.42185272 1195.957 66.97038645 1594.158 68.85245312 1982.103
57.61723967 1200.535 67.19826379 1604.523 69.08673449 1984.685
57.81262662 1203.053 67.42614114 1623.636 69.32101587 1996.127
58.00771343 1207.191 67.65366844 1640.598 69.55493736 2002.657
58.20310038 1216.577 67.88154579 1644.387 69.78921874 2016.813
58.39848733 1218.874 68.10942313 1662.07 70.02350011 2027.398
58.59387427 1222.839 68.33730048 1677.048 70.25778149 2033.911
58.78896109 1235.142 68.56482778 1690.482 70.49170298 2055.863
58.98434803 1231.07 68.79270512 1686.96 70.72598436 2074.211
59.17973498 1230.983 69.02058247 1696.465 70.96026573 2081.649
59.37512193 1239.605 69.24845982 1707.292 71.19454711 2100.683
59.57020874 1242.955 69.47598712 1723.958 71.42846861 2096.335
59.76559569 1249.099 69.70386446 1720.939 71.66274998 2105.564
59.96098264 1253.643 69.93174181 1735.843 71.89703136 2113.44
60.15636958 1255.775 70.15961915 1737.126 72.13131273 2110.921
60.3514564 1261.427 70.38714646 1751.79 72.36523423 2127.123
60.54684335 1257.901 70.6150238 1764.772 72.5995156 2122.038
60.74223029 1264.37 70.84290115 1784.799 72.83379698 2142.254
60.93761724 1268.466 71.07077849 1804.148 73.06807835 2146.934
61.13270405 1276.994 71.2983058 1822.835 73.30199985 2162.755
61.328091 1276.724 71.52618314 1840.102 73.53628122 2172.515
61.52347795 1288.212 71.75406049 1860.876 73.7705626 2175.381
61.71886489 1285.771 71.98193783 1891.899 74.00484397 2188.528
61.91395171 1285.589 72.20946514 1898.153 74.23876547 2199.969
62.10933866 1293.058 72.43734248 1915.565 74.47304685 2220.001
62.3047256 1296.144 72.66521983 1926.155 74.70732822 2224.626
62.50011255 1298.43 72.89309717 1923.384 74.9416096 2233.806
62.69519936 1301.872 73.12062447 1915.506 75.17553109 2245.535
62.89058631 1296.875 73.34850182 1939.946 75.40981247 2254.988
63.08597326 1289.286 73.57637917 1955.845 75.64409384 2271.927
63.28136021 1290.178 73.80425651 1963.435 75.87837522 2283.161
63.47644702 1298.047 74.03178381 1965.297 76.11229671 2289.592
63.67183397 1296.653 74.25966116 1997.774 76.34657809 2301.178
63.86722091 1298.865 74.4875385 2016.366 76.58085946 2301.462
64.06260786 1309.23 74.71541585 2021.985 76.81514084 2293.286
64.25769467 1308.123 74.94294315 2046.057 77.04906233 2279.317
64.45308162 1313.581 75.1708205 2078.271 77.28334371 2274.366
64.64846857 1325.644 75.39869784 2092.549 77.51762509 2258.078
64.84385552 1326.668 75.62657519 2102.894 77.75190646 2232.809
65.03894233 1329.844 75.85410249 2136.226 77.98582796 2219.475
65.23432928 1338.079 76.08197984 2147.428 78.22010933 2204.092
65.42971622 1331.554 76.30985718 2157.531 78.45439071 2181.507
65.62510317 1340.53 76.53773453 2156.997 78.68867208 2154.852
65.82018998 1335.017 76.76526183 2156.958 78.92259358 2145.615
66.01557693 1336.335 76.99313918 2140.064 79.15687495 2123.053
66.21096388 1343.65 77.22101652 2124.298 79.39115633 2107.074
66.40635083 1351.036 77.44889387 2117.136 79.6254377 2099.833
66.60143764 1357.288 77.67642117 2099.826 79.8593592 2091.036
66.79682459 1365.56 77.90429852 2084.747 80.09364057 2096.691
66.99221153 1343.035 78.13217586 2063.832 80.32792195 2118.663
67.18759848 1359.641 78.36005321 2057.571 80.56220332 2120.531
67.38268529 1358.499 78.58758051 2053.788 80.79612482 2136.495
67.57807224 1349.543 78.81545785 2049.701 81.0304062 2140.338
67.77345919 1349.057 79.0433352 2040.784 81.26468757 2142.352
67.96884614 1357.421 79.27121255 2036.142 81.49896895 2145.631
68.16393295 1355.127 79.49873985 2031.427 81.73289044 2144.712
68.3593199 1362.27 79.72661719 2039.564 81.96717182 2121.603
68.55470684 1360.612 79.95449454 2045.726 82.20145319 2108.833
68.75009379 1361.997 80.18237188 2035.744 82.43573457 2097.616
68.94518061 1376.965 80.40989919 2046.304 82.66965606 2083.577
69.14056755 1381.501 80.63777653 2050.502 82.90393744 2073.309
69.3359545 1387.866 80.86565388 2056.951 83.13821881 2065.762
69.53134145 1397.778 81.09353122 2048.294 83.37250019 2065.044
69.72642826 1405.987 81.32105853 2041.393 83.60642168 2064.912
69.92181521 1412.51 81.54893587 2027.322 83.84070306 2075.443
70.11720215 1409.658 81.77681322 2029.718 84.07498444 2083.698
70.3125891 1425.674 82.00469056 2018.92 84.30926581 2087.095
70.50767592 1422.538 82.23221787 2019.598 84.54318731 2089.336
70.70306286 1413.651 82.46009521 2012.278 84.77746868 2098.657
70.89844981 1427.284 82.68797256 2006.041 85.01175006 2120.575
71.09383676 1423.044 82.9158499 2007.608 85.24603143 2149.515
71.28892357 1424.464 83.14337721 1996.632 85.47995293 2160.771
71.48431052 1427.781 83.37125455 2000.753 85.7142343 2182.059
71.67969747 1428.257 83.5991319 1992.076 85.94851568 2213.923
71.87508441 1423.692 83.82700924 2011.199 86.18279705 2230.813
72.07017123 1430.871 84.05453654 2022.255 86.41671855 2251.498
72.26555817 1437.886 84.28241389 2037.361 86.65099992 2267.747
72.46094512 1442.134 84.51029123 2043.161 86.8852813 2285.884
72.65633207 1454.257 84.73816858 2061.688 87.11956267 2292.733
72.85141888 1465.162 84.96569588 2077.299 87.35348417 2301.616
73.04680583 1486.434 85.19357323 2108.792 87.58776555 2314.968
73.24219278 1510.091 85.42145057 2112.299 87.82204692 2322.847
73.43757972 1541.27 85.64932792 2141.01 88.0563283 2346.1
73.63266654 1576.056 85.87685522 2152.631 88.29024979 2366.663
73.82805348 1600.854 86.10473257 2170.012 88.52453117 2395.322
74.02344043 1627.349 86.33260991 2188.086 88.75881254 2409.828
74.21882738 1663.645 86.56048726 2195.611 88.99309392 2428.756
74.41391419 1694.601 86.78801456 2190.323 89.22701541 2441.494
74.60930114 1708.452 87.01589191 2215.415 89.46129679 2435.314
74.80468809 1728.447 87.24376925 2212.544 89.69557816 2410.859
75.00007503 1767.046 87.4716466 2215.644 89.92985954 2382.735
75.19516185 1787.85 87.6991739 2226.579 90.16378104 2356.402
75.39054879 1818.605 87.92705125 2211.397 90.39806241 2319.247
75.58593574 1844.125 88.15492859 2205.946 90.63234379 2281.804
75.78132269 1851.533 88.38280594 2204.915 90.86662516 2252.137
75.9764095 1878.14 88.61033324 2190.382 91.10054666 2220.047
76.17179645 1890.373 88.83821059 2176.404 91.33482803 2194.386
76.3671834 1896.27 89.06608793 2161.429 91.56910941 2176.124
76.56257034 1908.274 89.29396528 2163.168 91.80339078 2181.918
76.75765716 1915.822 89.52149258 2162.387 92.03731228 2189.776
76.9530441 1954.387 89.74936992 2150.162 92.27159365 2216.542
77.14843105 1960.739 89.97724727 2147.05 92.50587503 2229.851
77.343818 1981.194 90.20512461 2141.054 92.7401564 2251.147
77.53890481 2022.806 90.43265192 2132.501 92.9740779 2267.448
77.73429176 2044.99 90.66052926 2130.861 93.20835927 2272.591
77.92967871 2074.013 90.88840661 2118.505 93.44264065 2257.713
78.12506565 2102.402 91.11628395 2122.159 93.67692202 2236.556
78.32015247 2137.748 91.34381126 2139.659 93.91084352 2209.66
78.51553942 2152.239 91.5716886 2138.118 94.1451249 2176.827
78.71092636 2160.393 91.79956595 2148.866 94.37940627 2134.504
78.90631331 2170.924 92.02744329 2156.126 94.61368765 2092.327
79.10140012 2184.47 92.2549706 2140.743 94.84760914 2043.45
79.29678707 2193.477 92.48284794 2122.816 95.08189052 1998.126
79.49217402 2224.39 92.71072529 2130.157 95.31617189 1941.972
79.68756096 2231.489 92.93860263 2121.949 95.55045327 1893.985
79.88264778 2236.18 93.16612994 2117.948 95.78437476 1850.962
80.07803473 2237.527 93.39400728 2102.601 96.01865614 1822.539
80.27342167 2231.84 93.62188463 2081.846 96.25293751 1783.319
80.46880862 2250.712 93.84976197 2053.464 96.48721889 1764.87
80.66389543 2260.198 94.07728927 2034.901 96.72114039 1748.792
80.85928238 2255.465 94.30516662 2027.98 96.95542176 1727.581
81.05466933 2262.62 94.53304397 2006.726 97.18970314 1694.929
81.25005628 2273.95 94.76092131 1992.966 97.42398451 1669.758
81.44514309 2257.958 94.98844861 1969.021 97.65790601 1636.053
81.64053004 2245.562 95.21632596 1952.287 97.89218738 1608.15
81.83591698 2225.173 95.4442033 1936.346 98.12646876 1576.101
82.03130393 2198.592 95.67208065 1922.252 98.36075013 1515.692
82.22639074 2179.263 95.89960795 1874.425 98.59467163 1488.061
82.42177769 2148.892 96.1274853 1853.664 98.828953 1448.425
82.61716464 2116.719 96.35536264 1831.384 99.06323438 1397.268
82.81255159 2100.717 96.58323999 1794.029 99.29751575 1355.717
83.0076384 2090.508 96.81076729 1758.89 99.53143725 1329.739
83.20302535 2065.061 97.03864464 1731.598 99.76571862 1296.793
83.39841229 2050.854 97.26652198 1713.487 100 1257.241
83.59379924 2040.492 97.49439933 1677.765
83.78888605 2040.322 97.72192663 1674.917
83.984273 2035.772 97.94980398 1662.389
84.17965995 2044.099 98.17768132 1642.568
84.3750469 2044.25 98.40555867 1633.19
84.57043384 2050.526 98.63343601 1617.934
84.76552066 2052.062 98.86096332 1611.145
84.9609076 2061.378 99.08884066 1595.799
85.15629455 2075.489 99.31671801 1573.702
85.3516815 2096.737 99.54459535 1534.946
85.54676831 2092.632 99.77212265 1504.292
85.74215526 2109.604 100 1461.003
85.93754221 2141.326
86.13292915 2144.713
86.32801597 2160.355
86.52340291 2169.707
86.71878986 2194.609
86.91417681 2205.215
87.10926362 2223.762
87.30465057 2230.832
87.50003752 2229.607
87.69542446 2246.726
87.89051128 2253.896
88.08589822 2248.059
88.28128517 2257.528
88.47667212 2258.268
88.67175893 2235.478
88.86714588 2225.722
89.06253283 2221.924
89.25791977 2208.82
89.45300659 2188.229
89.64839354 2178.863
89.84378048 2191.26
90.03916743 2180.9
90.23425424 2178.216
90.42964119 2181.684
90.62502814 2171.685
90.82041508 2165.909
91.0155019 2164.717
91.21088885 2146.029
91.40627579 2154.498
91.60166274 2159.514
91.79674955 2150.546
91.9921365 2152.278
92.18752345 2160.359
92.3829104 2136.148
92.57799721 2125.964
92.77338416 2124.083
92.9687711 2116.051
93.16415805 2123.932
93.35924486 2103.822
93.55463181 2072.381
93.75001876 2056.456
93.94540571 2027.103
94.14049252 2000.528
94.33587947 1960.458
94.53126641 1931.848
94.72665336 1908.658
94.92174017 1872.342
95.11712712 1862.123
95.31251407 1816.906
95.50790102 1797.595
95.70298783 1773.479
95.89837478 1748.537
96.09376172 1725.848
96.28914867 1689.956
96.48423548 1660.641
96.67962243 1633.764
96.87500938 1618.012
97.07039633 1597.76
97.26548314 1584.849
97.46087009 1579.388
97.65625703 1568.659
97.85164398 1557.276
98.0467308 1546.187
98.24211774 1534.488
98.43750469 1510.142
98.63289164 1491.203
98.82797845 1471.416
99.0233654 1431.345
99.21875234 1403.688
99.41413929 1368.222
99.60922611 1326.034
99.80461305 1291.5
100 1262.928