Join two data frames using a Bloom filter pre-filter
Arguments
- x, y
Data frames to join.
- by
A character vector or named character vector specifying the join columns, just like the
byargument in the dplyr join verbs.- type
Type of join to perform. One of
"inner","left","right","full","semi", or"anti".- engine
Probabilistic pre-filter to use. Currently only
"bloom"is implemented;"auto"resolves to"bloom"and"fuse"is reserved for a future binary-fuse implementation.- prefilter_side
Which input to pre-filter.
"x"filters the first table,"y"filters the second table, and"auto"picks a side based on join semantics and distinct-count estimates.- fpr
Target false positive rate for the Bloom filter. Must be between 0 and 1.
- n_hint
Optional estimated distinct counts for the join keys. Supply a numeric scalar to use the same hint for both tables or a named list/vector with entries
xand/ory.- verbose
Logical flag controlling diagnostic output.
Value
A data frame identical to the corresponding dplyr join with an
additional "bloomjoin" class and a bloom_metadata attribute describing
the pre-filter decision.
Examples
x <- data.frame(id = 1:100000, value_x = rnorm(100000))
y <- data.frame(id = 50001:60000, value_y = rnorm(10000))
bloom_join(x, y, by = "id", verbose = TRUE)
#> Prefilter retained 10757 of 100000 rows from 'x'
#> id value_x value_y
#> 1 50001 1.711280e-01 0.0899147415
#> 2 50002 2.312016e+00 0.3799959351
#> 3 50003 -5.785021e-02 -0.0560342945
#> 4 50004 -9.757096e-01 0.7008630276
#> 5 50005 -2.586332e-01 0.2532184274
#> 6 50006 -8.437459e-01 -0.6956937886
#> 7 50007 -3.719046e-01 -0.1025827216
#> 8 50008 7.208423e-01 1.4417507751
#> 9 50009 -5.966828e-02 -1.8649283210
#> 10 50010 1.155675e+00 0.3408222239
#> 11 50011 -2.219723e-01 -0.7322364510
#> 12 50012 1.637224e+00 1.3939248345
#> 13 50013 3.661734e-01 1.8629702321
#> 14 50014 6.415324e-01 -0.9115477061
#> 15 50015 1.055475e-01 1.0289350761
#> 16 50016 4.109025e-02 -1.5471438237
#> 17 50017 5.404792e-01 0.4157670683
#> 18 50018 -1.625363e-01 -2.4703518818
#> 19 50019 2.180358e-01 0.5350485376
#> 20 50020 3.387834e-01 0.8821888595
#> 21 50021 4.061058e-01 -0.5879454058
#> 22 50022 -1.435092e+00 0.2464862973
#> 23 50023 8.306277e-01 -1.3385163776
#> 24 50024 7.285942e-01 0.2355880044
#> 25 50025 1.053592e+00 -1.2749546249
#> 26 50026 -9.341966e-01 0.7054147569
#> 27 50027 4.266626e-01 -1.2298262882
#> 28 50028 5.716003e-01 0.4003998657
#> 29 50029 5.770103e-01 0.8849567513
#> 30 50030 -6.218034e-01 0.6176771287
#> 31 50031 1.141468e+00 -1.1057929950
#> 32 50032 -7.104957e-01 0.9624912807
#> 33 50033 -4.459662e-01 0.1475696073
#> 34 50034 3.485128e-01 -0.8087333183
#> 35 50035 -1.262528e+00 0.0822248824
#> 36 50036 2.627104e-01 2.4876365586
#> 37 50037 -9.331936e-01 1.4654213804
#> 38 50038 1.174927e-01 0.3312583248
#> 39 50039 1.869008e+00 0.1099392859
#> 40 50040 3.253902e-01 -1.2103027821
#> 41 50041 -5.067992e-01 -0.9132839079
#> 42 50042 -1.685208e+00 0.5644187253
#> 43 50043 -2.917159e-01 0.0098634258
#> 44 50044 -8.951024e-02 0.1859740052
#> 45 50045 -1.599104e+00 -0.3483418151
#> 46 50046 2.483101e-01 -0.3710935391
#> 47 50047 -3.918036e-02 0.9075242363
#> 48 50048 4.539992e-01 0.8036690481
#> 49 50049 -4.649202e-01 -0.2537444650
#> 50 50050 6.648119e-01 0.6988982494
#> 51 50051 -7.617241e-01 1.1958779261
#> 52 50052 2.511257e+00 0.7951267968
#> 53 50053 5.775938e-01 -0.7789738949
#> 54 50054 -2.743637e-01 0.1355838686
#> 55 50055 5.943512e-01 -0.0355382905
#> 56 50056 1.605378e-01 -0.8613101411
#> 57 50057 -1.784295e-01 -1.0234695142
#> 58 50058 1.921225e+00 0.1829568722
#> 59 50059 -2.371910e-01 -1.1662443053
#> 60 50060 1.271386e+00 -0.8198016196
#> 61 50061 3.635748e-01 -0.5903420515
#> 62 50062 1.189064e-01 -0.5078982631
#> 63 50063 -8.368930e-01 -1.1310837530
#> 64 50064 -3.896639e-01 -0.1658145363
#> 65 50065 2.173272e+00 1.9088784763
#> 66 50066 9.429695e-01 -0.1091080631
#> 67 50067 1.099187e+00 1.0062041910
#> 68 50068 6.471661e-01 -0.3727465821
#> 69 50069 -1.405536e-01 -0.3177448475
#> 70 50070 -2.854361e-01 2.0268369324
#> 71 50071 -7.302410e-01 -0.6680449340
#> 72 50072 1.158772e+00 1.0762363960
#> 73 50073 1.020355e+00 1.1174667092
#> 74 50074 9.724855e-01 0.2555075641
#> 75 50075 -8.410551e-02 -2.5738624482
#> 76 50076 -1.948068e-01 -1.1266756979
#> 77 50077 -6.826246e-01 -0.1798834997
#> 78 50078 2.173078e-01 -0.7483872982
#> 79 50079 2.519265e-01 -2.8224743403
#> 80 50080 -1.087351e+00 -0.3408932818
#> 81 50081 4.097746e-01 -0.5846815587
#> 82 50082 -3.365818e-01 -2.0591447205
#> 83 50083 3.546159e-01 2.2803088717
#> 84 50084 7.800922e-01 -1.3710812356
#> 85 50085 -9.110507e-01 0.8070392487
#> 86 50086 -5.476541e-01 -0.8553781572
#> 87 50087 6.512099e-02 0.2144873811
#> 88 50088 6.382526e-05 0.1067706617
#> 89 50089 -1.084741e+00 -0.5430324121
#> 90 50090 -5.877071e-01 1.2103044138
#> 91 50091 -6.470953e-02 -0.7006531129
#> 92 50092 -2.521941e-02 -1.0947223502
#> 93 50093 -1.785761e+00 -0.3691655482
#> 94 50094 8.937208e-01 1.4329740192
#> 95 50095 -2.436184e-01 -0.8283999470
#> 96 50096 -5.942923e-01 -1.3057393285
#> 97 50097 6.215715e-01 -0.3773832151
#> 98 50098 -4.088285e-01 -0.0941378672
#> 99 50099 3.702675e-01 0.3011306062
#> 100 50100 7.500722e-01 -0.5233086444
#> 101 50101 -4.083666e-01 2.1987475200
#> 102 50102 2.744876e-01 0.8226182640
#> 103 50103 -4.863112e-01 0.1034704422
#> 104 50104 3.632380e-01 1.2565606078
#> 105 50105 2.708921e-01 -1.7151002148
#> 106 50106 1.092358e+00 -1.3361847440
#> 107 50107 2.686223e+00 0.5296494428
#> 108 50108 4.785328e-01 -0.2996015326
#> 109 50109 1.420084e+00 1.4323600121
#> 110 50110 4.279088e-02 1.2202273117
#> 111 50111 3.102061e-01 -0.4213565847
#> 112 50112 -9.674734e-02 0.0683611224
#> 113 50113 -3.865424e-01 0.1926519754
#> 114 50114 -1.051115e+00 1.1930115720
#> 115 50115 5.461337e-01 -2.4160901202
#> 116 50116 6.290804e-01 0.1081541427
#> 117 50117 -1.210978e+00 -0.5732536212
#> 118 50118 1.327147e+00 -0.0915925329
#> 119 50119 1.489069e+00 1.0355710110
#> 120 50120 -1.857365e-01 0.0355448493
#> 121 50121 4.283584e-01 -0.6361559474
#> 122 50122 2.539339e-01 -1.2851801234
#> 123 50123 3.649756e-01 -1.9735806870
#> 124 50124 -8.144807e-01 -0.8024656712
#> 125 50125 -9.496267e-01 0.5968438295
#> 126 50126 1.632976e+00 -0.1910042683
#> 127 50127 -1.586669e-01 0.1047981430
#> 128 50128 8.971157e-01 -0.4374682092
#> 129 50129 1.282360e-01 1.2423409946
#> 130 50130 5.945530e-01 1.2413075859
#> 131 50131 -1.393785e+00 1.3927054560
#> 132 50132 -2.290550e+00 -0.6833150913
#> 133 50133 -1.237449e+00 -0.4657746382
#> 134 50134 9.549556e-01 -0.5794635051
#> 135 50135 2.508264e-01 -0.2588140273
#> 136 50136 2.025093e+00 0.3561600154
#> 137 50137 -3.729095e-01 -1.7168726425
#> 138 50138 -2.755033e-01 0.0421033216
#> 139 50139 -1.438498e+00 0.4470971588
#> 140 50140 3.849996e-02 -1.0977482371
#> 141 50141 1.446246e-01 0.8953695867
#> 142 50142 -1.282622e+00 -0.7658247561
#> 143 50143 1.928805e-01 -0.0809605730
#> 144 50144 2.374373e-01 -2.5713125479
#> 145 50145 -1.971793e+00 0.5892549699
#> 146 50146 1.476822e-02 -0.2116916153
#> 147 50147 -1.666060e+00 -0.9358973314
#> 148 50148 5.182423e-01 0.4913324966
#> 149 50149 -1.096253e+00 1.9292262186
#> 150 50150 5.042986e-01 -2.0101105069
#> 151 50151 -9.150590e-01 -0.6486515216
#> 152 50152 2.299012e-01 0.6511720803
#> 153 50153 5.916545e-02 -0.4382930179
#> 154 50154 -2.926487e-01 -0.2866100398
#> 155 50155 1.130185e+00 0.3766352002
#> 156 50156 2.089031e-02 -1.3365718081
#> 157 50157 -1.173415e+00 2.0804318775
#> 158 50158 -2.509362e-01 1.2644627658
#> 159 50159 -2.185941e+00 -2.1170850408
#> 160 50160 -3.609577e-02 -1.2055354593
#> 161 50161 6.226101e-01 0.7429399418
#> 162 50162 5.687696e-01 1.2427616919
#> 163 50163 -2.775120e+00 1.0498525752
#> 164 50164 1.548343e+00 -0.9154589086
#> 165 50165 1.412700e+00 -0.6991417275
#> 166 50166 6.350763e-01 -0.5266670689
#> 167 50167 1.282679e+00 -0.0109757434
#> 168 50168 8.846797e-01 -0.2627937231
#> 169 50169 1.164885e-01 -0.4205476389
#> 170 50170 5.061888e-01 -0.3943086975
#> 171 50171 -6.055440e-01 2.0931613762
#> 172 50172 -1.703662e+00 0.5564491314
#> 173 50173 -1.077756e+00 0.7149148098
#> 174 50174 -1.005583e+00 1.5469173175
#> 175 50175 -2.338161e-01 0.4539087956
#> 176 50176 5.231177e-01 1.0047473744
#> 177 50177 1.399853e-01 0.0448631481
#> 178 50178 -8.460124e-01 -0.3690233487
#> 179 50179 6.059694e-01 -2.5659861198
#> 180 50180 -1.632163e-01 -0.1459786617
#> 181 50181 -2.110077e-01 0.1846780745
#> 182 50182 -9.896878e-01 0.9064286953
#> 183 50183 -1.140834e+00 1.9103709591
#> 184 50184 2.297819e-01 0.9010843886
#> 185 50185 1.140910e+00 1.6431553347
#> 186 50186 2.332480e-01 1.1544881680
#> 187 50187 1.986943e+00 -0.2753692064
#> 188 50188 -1.023843e+00 1.6811275018
#> 189 50189 -2.051554e-03 -0.8602573823
#> 190 50190 6.140090e-01 -0.9085020981
#> 191 50191 -1.675262e-02 -0.9349633425
#> 192 50192 4.752274e-01 -0.4258181906
#> 193 50193 -7.146004e-01 -0.0595629518
#> 194 50194 6.572646e-01 1.3332036169
#> 195 50195 -4.320261e-01 -0.0323404244
#> 196 50196 -1.820545e+00 1.1692907233
#> 197 50197 -5.743833e-01 -1.7461195685
#> 198 50198 -1.495617e+00 0.1723651355
#> 199 50199 3.134380e-01 0.2089674683
#> 200 50200 -4.144412e-02 0.2411608485
#> 201 50201 -3.980011e-01 -0.9472849173
#> 202 50202 2.371692e-01 -0.0504382612
#> 203 50203 1.913850e-01 -0.3043106561
#> 204 50204 1.617598e+00 -1.5668879404
#> 205 50205 7.216305e-01 0.3810660225
#> 206 50206 1.204548e+00 1.0950108261
#> 207 50207 -1.477255e+00 0.4790772308
#> 208 50208 -2.094766e-01 -0.0820155067
#> 209 50209 8.292435e-01 -1.1697936912
#> 210 50210 -6.423016e-01 2.3466367499
#> 211 50211 1.690195e-02 1.1567466039
#> 212 50212 1.736267e+00 -1.2588646763
#> 213 50213 1.554841e+00 0.4463256742
#> 214 50214 -2.263407e-02 -1.8135102628
#> 215 50215 9.247005e-01 -0.5182153732
#> 216 50216 -7.579482e-02 -0.3475336995
#> 217 50217 -8.409952e-01 1.3560238689
#> 218 50218 4.932605e-01 -0.1952263095
#> 219 50219 -6.662548e-01 -2.0060161279
#> 220 50220 7.404878e-01 -0.2315407567
#> 221 50221 -2.766492e-01 -2.7133791883
#> 222 50222 1.269990e+00 0.5843775507
#> 223 50223 9.448265e-01 1.3563212988
#> 224 50224 1.017972e+00 0.8589028787
#> 225 50225 -4.149317e-01 1.8288222613
#> 226 50226 2.611769e-01 -1.5346406426
#> 227 50227 2.143416e+00 0.8520434093
#> 228 50228 -6.406331e-01 -0.1684587586
#> 229 50229 3.058782e-03 -0.4923795362
#> 230 50230 -3.752544e-02 0.4611059943
#> 231 50231 -3.548958e-01 -0.6089789428
#> 232 50232 -1.104574e+00 1.4410398355
#> 233 50233 -4.872685e-01 1.0420900631
#> 234 50234 -5.723023e-01 -0.5496908302
#> 235 50235 7.136765e-02 -1.2035837668
#> 236 50236 2.199288e+00 0.0829342645
#> 237 50237 1.158361e+00 0.4437381573
#> 238 50238 1.296578e+00 -0.1714666218
#> 239 50239 -2.947624e-02 0.7476115362
#> 240 50240 -6.952653e-02 -0.2488293950
#> 241 50241 2.133239e-01 -0.4275769404
#> 242 50242 -1.268636e+00 -0.7725834064
#> 243 50243 8.980390e-02 0.0647400720
#> 244 50244 -5.172772e-01 0.1356043111
#> 245 50245 5.914788e-01 0.6774589572
#> 246 50246 -1.444219e+00 -0.0570718081
#> 247 50247 4.964635e-01 -0.1766306878
#> 248 50248 -1.356809e-01 -0.7764852875
#> 249 50249 5.682730e-02 -0.0903993600
#> 250 50250 -4.270863e-01 -0.9886326432
#> 251 50251 -7.377425e-01 0.2135522507
#> 252 50252 1.692267e-01 0.9089061252
#> 253 50253 -1.102485e+00 1.7531475288
#> 254 50254 -7.489908e-02 0.3416767771
#> 255 50255 1.191944e-01 -1.0266159345
#> 256 50256 2.921648e-01 1.5785420742
#> 257 50257 -4.939266e-01 0.4977143221
#> 258 50258 -5.847105e-01 -0.8643606990
#> 259 50259 -9.803689e-01 0.3694304687
#> 260 50260 -6.531581e-01 -1.4317085521
#> 261 50261 -9.859181e-01 -0.0403858390
#> 262 50262 1.715928e+00 1.8826450556
#> 263 50263 5.397292e-01 0.4756624317
#> 264 50264 1.378464e+00 1.3669158228
#> 265 50265 8.040730e-01 -1.7134296153
#> 266 50266 2.754769e-01 0.0181817820
#> 267 50267 -1.910966e+00 1.1057646581
#> 268 50268 -8.610880e-02 -0.7691386744
#> 269 50269 -7.626459e-01 0.5496848768
#> 270 50270 7.184585e-02 0.6776533338
#> 271 50271 -1.897144e-02 1.6892926185
#> 272 50272 -2.174904e+00 -0.0435035503
#> 273 50273 3.075313e-01 -1.0356595798
#> 274 50274 -2.790471e+00 0.3093010480
#> 275 50275 1.944177e-01 0.6693122568
#> 276 50276 -7.544079e-01 0.2820413017
#> 277 50277 -1.426593e+00 0.8620212638
#> 278 50278 8.553213e-01 0.5306789185
#> 279 50279 1.034511e+00 -0.4487165491
#> 280 50280 -8.021860e-01 0.0492428586
#> 281 50281 -5.459240e-01 -1.6340351926
#> 282 50282 3.653766e-01 0.0180018380
#> 283 50283 -4.449110e-01 -0.5190261548
#> 284 50284 1.878231e+00 -0.6825822624
#> 285 50285 7.745340e-01 -0.0587972060
#> 286 50286 -8.045512e-01 -0.4683972997
#> 287 50287 8.854863e-01 -0.4195531992
#> 288 50288 -3.149750e-01 0.3186296032
#> 289 50289 5.699642e-01 -0.8494154792
#> 290 50290 -2.731918e-02 -0.1344358270
#> 291 50291 1.252083e+00 -0.2916397433
#> 292 50292 1.067880e+00 1.0793024960
#> 293 50293 -1.013115e+00 -0.5441599607
#> 294 50294 3.014478e-01 -0.0174740795
#> 295 50295 2.068027e+00 1.5158339800
#> 296 50296 -2.770167e-01 -0.7955916354
#> 297 50297 -3.070700e-01 -1.1184198355
#> 298 50298 -1.256391e+00 0.1431250092
#> 299 50299 8.986713e-01 1.0196240325
#> 300 50300 -5.761137e-01 -1.0762005441
#> 301 50301 3.070181e-01 -0.1636071851
#> 302 50302 1.283613e+00 0.4292480681
#> 303 50303 6.494719e-01 0.2568157949
#> 304 50304 1.289604e+00 -0.4403827027
#> 305 50305 2.160055e+00 -1.5885833174
#> 306 50306 3.484414e-02 1.0172552731
#> 307 50307 -1.826399e+00 -2.5569365843
#> 308 50308 2.167385e-01 -0.5826273611
#> 309 50309 1.193132e+00 -1.0567460990
#> 310 50310 1.823930e-01 0.1351933624
#> 311 50311 -1.407961e+00 -0.4885053425
#> 312 50312 -1.082658e+00 0.5240671292
#> 313 50313 1.386203e+00 1.6794974967
#> 314 50314 -4.206998e-02 -1.1577039481
#> 315 50315 1.176233e+00 -0.6874075486
#> 316 50316 6.961369e-01 1.4508215634
#> 317 50317 1.145538e-01 0.6476958642
#> 318 50318 1.329275e+00 2.0915562899
#> 319 50319 1.131994e+00 -0.0514756068
#> 320 50320 -1.379041e+00 0.0013035210
#> 321 50321 -8.426352e-01 0.6637816588
#> 322 50322 1.255212e+00 1.1049444792
#> 323 50323 -1.247919e+00 0.6435451771
#> 324 50324 3.900992e-01 0.3445352903
#> 325 50325 -2.338162e-01 -0.7474547854
#> 326 50326 1.847484e-01 -0.9527405540
#> 327 50327 -1.538487e+00 -0.6781272594
#> 328 50328 -6.351337e-01 0.0075303707
#> 329 50329 -1.562013e+00 -0.5886366775
#> 330 50330 3.218094e-01 0.1639347698
#> 331 50331 -8.167766e-01 0.0529233741
#> 332 50332 3.056994e-02 0.9112420185
#> 333 50333 7.769403e-01 0.7101531539
#> 334 50334 -2.337651e-01 1.0990951880
#> 335 50335 7.472433e-02 -0.3093927966
#> 336 50336 -9.639384e-01 1.1399070786
#> 337 50337 -2.692279e-01 0.5958113399
#> 338 50338 -2.013623e+00 1.1188697699
#> 339 50339 9.823363e-01 -0.0604208839
#> 340 50340 7.335891e-01 1.3015059918
#> 341 50341 -7.340354e-01 0.7908384023
#> 342 50342 -1.322784e-01 1.1419820690
#> 343 50343 1.168075e+00 0.4733166372
#> 344 50344 -3.290094e-01 -0.4336373938
#> 345 50345 8.940305e-01 0.8498991282
#> 346 50346 4.486917e-01 -0.2100027022
#> 347 50347 -9.915209e-01 -0.2047022751
#> 348 50348 3.840777e-02 -1.0758381774
#> 349 50349 -4.411989e-01 -1.6007795944
#> 350 50350 -1.020266e+00 -1.4300505897
#> 351 50351 -6.421692e-01 1.3756035621
#> 352 50352 -1.234514e+00 -0.1320895971
#> 353 50353 5.011602e-01 1.6130309192
#> 354 50354 1.449280e-02 0.6234222771
#> 355 50355 -1.785997e-02 0.0870931820
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#> 1082 51082 -1.944570e+00 -0.4586713273
#> 1083 51083 -1.337163e-01 -0.0206456241
#> 1084 51084 5.647494e-01 -0.5792687001
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#> 1086 51086 7.303915e-01 1.0513545056
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#> 1088 51088 -7.406928e-01 0.3500855637
#> 1089 51089 1.117909e+00 1.2803209808
#> 1090 51090 -1.215051e+00 -0.0416861382
#> 1091 51091 2.081413e-02 -1.4103372480
#> 1092 51092 4.123621e-01 -1.8339235912
#> 1093 51093 -2.011358e-01 1.8888825590
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#> 1095 51095 -1.071552e-01 -1.4960054183
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#> 1097 51097 -2.713748e-01 0.3280579603
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#> 1099 51099 -6.349589e-01 -0.5806509525
#> 1100 51100 -7.359866e-02 1.1265709004
#> 1101 51101 -4.056878e-01 -0.1418860966
#> 1102 51102 1.075315e+00 0.4258382825
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#> 1104 51104 -7.408505e-01 -2.0392894906
#> 1105 51105 -1.961264e+00 -0.1708661323
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#> 1111 51111 -1.328523e+00 0.6620841027
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#> 1118 51118 -3.296528e-01 0.3837820914
#> 1119 51119 -8.508421e-01 -0.8665978487
#> 1120 51120 -7.144812e-02 2.3841363051
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#> 1130 51130 -3.216027e-01 0.5608749981
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#> 1148 51148 -9.211855e-02 1.4186940280
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#> 1158 51158 -6.778093e-02 -0.3681867226
#> 1159 51159 -3.175603e-02 -0.2102785461
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#> 1181 51181 -1.007110e+00 0.0012786491
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#> 1199 51199 7.571312e-01 0.5869015022
#> 1200 51200 6.265734e-01 -0.4881795017
#> 1201 51201 9.475015e-01 -0.2677928272
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#> 1204 51204 -1.485778e+00 -0.2413687304
#> 1205 51205 -6.149425e-01 -0.4890727467
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#> 1412 51412 -5.521855e-01 1.9983184048
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#> 1416 51416 -4.451615e-02 -1.6116730660
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#> 1418 51418 -1.292459e+00 1.5403275299
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#> 1421 51421 1.368824e+00 1.3521486345
#> 1422 51422 -2.424013e-01 -0.7306276706
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#> 1424 51424 -8.324619e-01 -1.2073220632
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#> 1428 51428 -6.146251e-01 -1.7348973543
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#> 1430 51430 -3.716019e-01 0.5186082254
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#> 1786 51786 5.110422e-01 0.5510677984
#> 1787 51787 -1.379831e+00 2.1847014113
#> 1788 51788 1.383619e-01 0.9955355584
#> 1789 51789 1.649429e+00 0.5872747362
#> 1790 51790 2.997871e-01 -0.3413921129
#> 1791 51791 8.476904e-01 0.4263284845
#> 1792 51792 4.221663e-01 -0.9319013411
#> 1793 51793 7.218985e-01 -1.9896619336
#> 1794 51794 -5.526651e-01 -0.0046256161
#> 1795 51795 5.804706e-01 -0.6094385161
#> 1796 51796 -1.444105e+00 -0.5865220367
#> 1797 51797 1.035705e+00 0.3053354342
#> 1798 51798 -7.990089e-01 -1.2511509429
#> 1799 51799 -1.898915e-01 -0.1005355222
#> 1800 51800 5.119698e-01 1.1788421910
#> 1801 51801 1.003163e+00 0.8863358187
#> 1802 51802 2.889639e-01 -1.8289805077
#> 1803 51803 -1.463661e+00 0.2776341769
#> 1804 51804 2.007328e+00 -0.3554580953
#> 1805 51805 -6.495204e-01 0.6595915640
#> 1806 51806 -8.803915e-01 1.0532197333
#> 1807 51807 3.443642e-02 -1.2375662614
#> 1808 51808 -6.630979e-01 -0.7357830247
#> 1809 51809 -1.500145e+00 -0.0611716543
#> 1810 51810 2.175170e-01 -0.4107949394
#> 1811 51811 -9.149841e-01 0.8814137691
#> 1812 51812 -7.889342e-01 -0.0441362332
#> 1813 51813 4.997127e-01 -0.1404032580
#> 1814 51814 7.426389e-01 -0.0998623464
#> 1815 51815 8.130826e-01 -0.5594082783
#> 1816 51816 -3.358875e-01 -0.0835009848
#> 1817 51817 1.142380e+00 -0.8816224023
#> 1818 51818 -9.764149e-01 -1.6688045484
#> 1819 51819 -1.074306e+00 1.5061403456
#> 1820 51820 2.297012e+00 1.0085649175
#> 1821 51821 -8.987835e-02 -0.0283487452
#> 1822 51822 4.385392e-01 -0.1004127129
#> 1823 51823 5.009248e-02 -1.6579876145
#> 1824 51824 -3.658045e-01 -0.1725245453
#> 1825 51825 6.533834e-02 -1.1235715973
#> 1826 51826 -3.078570e-01 -0.5365176006
#> 1827 51827 7.291796e-01 0.5739768817
#> 1828 51828 -7.224234e-01 1.3071621422
#> 1829 51829 1.777787e-01 0.9166712835
#> 1830 51830 -4.814746e-02 -0.1263965196
#> 1831 51831 1.038216e+00 -0.2538491159
#> 1832 51832 -1.412613e+00 -0.5325011426
#> 1833 51833 -2.583146e+00 -1.3663689886
#> 1834 51834 1.674771e-01 -0.4033670831
#> 1835 51835 2.431369e-01 -1.4466927585
#> 1836 51836 -2.040980e-01 -0.2262363307
#> 1837 51837 5.969870e-03 0.1891158189
#> 1838 51838 9.255122e-01 2.1078564407
#> 1839 51839 -9.605643e-01 -1.1591383237
#> 1840 51840 -5.926929e-02 0.2882062823
#> 1841 51841 9.239249e-01 0.3187046036
#> 1842 51842 -6.972266e-01 1.0393678855
#> 1843 51843 -6.691546e-01 -0.4382025972
#> 1844 51844 1.145840e+00 0.2008182109
#> 1845 51845 -4.289289e-02 -0.2749377613
#> 1846 51846 1.393018e+00 -0.4658960439
#> 1847 51847 3.063790e+00 -0.3943712250
#> 1848 51848 7.051502e-01 -1.1597446949
#> 1849 51849 -2.230151e+00 -0.0262649523
#> 1850 51850 3.103790e-01 -0.5776839817
#> 1851 51851 -1.915283e-03 -0.2509205541
#> 1852 51852 4.893147e-01 -0.6558683946
#> 1853 51853 2.665603e-01 -0.6614796059
#> 1854 51854 -2.339663e+00 -0.9119910245
#> 1855 51855 -1.278021e-01 0.4148996306
#> 1856 51856 3.762839e-01 0.2354878995
#> 1857 51857 1.529583e+00 -1.0968070638
#> 1858 51858 -3.350869e-01 -0.1469538357
#> 1859 51859 -6.554771e-01 0.9189944247
#> 1860 51860 6.210513e-01 1.2072631008
#> 1861 51861 -1.724793e+00 0.9109385504
#> 1862 51862 2.163374e+00 0.5119544123
#> 1863 51863 8.441608e-01 1.2148764500
#> 1864 51864 -5.598753e-01 -0.1498008823
#> 1865 51865 -3.456142e-01 1.5417633347
#> 1866 51866 -1.616535e-01 0.6704377473
#> 1867 51867 -6.706491e-02 1.0135397132
#> 1868 51868 -1.456776e+00 0.6651550777
#> 1869 51869 -1.849924e-01 -0.3914547519
#> 1870 51870 1.386597e+00 0.5526548408
#> 1871 51871 6.311373e-01 -0.0546220339
#> 1872 51872 1.131158e-02 0.0097629553
#> 1873 51873 -1.283813e+00 0.6843994077
#> 1874 51874 1.600291e+00 -0.1458287646
#> 1875 51875 1.188645e+00 -0.6722081159
#> 1876 51876 3.362446e-02 1.6923680513
#> 1877 51877 6.235531e-01 0.6089502075
#> 1878 51878 5.124596e-01 0.6121342020
#> 1879 51879 3.849344e-01 0.7174249904
#> 1880 51880 2.117548e-01 0.5108069508
#> 1881 51881 -1.282044e+00 0.2094153043
#> 1882 51882 -1.839788e+00 -0.6779643702
#> 1883 51883 7.251046e-01 0.6802624988
#> 1884 51884 -4.286124e-01 1.1989152218
#> 1885 51885 -6.747917e-01 -0.5624041030
#> 1886 51886 -1.681864e+00 1.1225742779
#> 1887 51887 -1.143884e+00 -0.3285628344
#> 1888 51888 -1.238621e+00 0.9552386208
#> 1889 51889 1.639578e+00 1.1207388139
#> 1890 51890 -3.925752e-01 -0.4231316704
#> 1891 51891 7.582818e-01 -0.4610708216
#> 1892 51892 -7.373052e-02 0.0422260102
#> 1893 51893 -9.196183e-03 -0.8710709348
#> 1894 51894 1.551425e-01 0.1448148904
#> 1895 51895 1.179846e+00 -0.0768182575
#> 1896 51896 5.100247e-02 2.2648339013
#> 1897 51897 8.868409e-01 -0.6958449690
#> 1898 51898 1.161322e+00 -0.1196126080
#> 1899 51899 -1.012837e+00 -0.0318036467
#> 1900 51900 -2.103644e-01 0.5470956913
#> 1901 51901 8.436444e-01 1.4702278118
#> 1902 51902 -8.317684e-01 2.1459247881
#> 1903 51903 -2.272507e+00 -0.8406204650
#> 1904 51904 1.396595e+00 -1.4709301142
#> 1905 51905 -2.815995e+00 0.6318520478
#> 1906 51906 1.084682e-01 -0.1937318982
#> 1907 51907 -3.922320e-01 -0.6913444983
#> 1908 51908 1.009264e+00 0.3243923900
#> 1909 51909 3.800407e-03 -1.1263890802
#> 1910 51910 1.054924e+00 -0.1633100427
#> 1911 51911 -4.265587e-02 0.6027347561
#> 1912 51912 -1.345873e+00 -1.3898794029
#> 1913 51913 -6.745233e-01 1.2643714326
#> 1914 51914 6.918179e-01 -0.1611620789
#> 1915 51915 4.850826e-01 0.7113763001
#> 1916 51916 3.266760e-01 -1.0365542914
#> 1917 51917 -2.097146e+00 -0.2874732001
#> 1918 51918 -4.951891e-01 -1.7894902396
#> 1919 51919 1.223469e+00 1.1998964513
#> 1920 51920 -1.214398e-01 -0.5704498935
#> 1921 51921 1.793734e-01 -0.4799376186
#> 1922 51922 -1.919653e+00 0.0108937344
#> 1923 51923 -3.617058e-01 0.9545688417
#> 1924 51924 8.038387e-01 2.1916951890
#> 1925 51925 1.755016e+00 -1.1483804350
#> 1926 51926 -7.925258e-02 -0.7384287302
#> 1927 51927 -2.159948e-01 -1.4511529326
#> 1928 51928 -2.460481e-01 2.7249930246
#> 1929 51929 3.574404e-01 0.6723564077
#> 1930 51930 -9.727646e-02 0.8801030341
#> 1931 51931 2.305766e-01 -0.7952733191
#> 1932 51932 -1.758650e+00 -1.4499908326
#> 1933 51933 -7.309432e-01 0.8420921433
#> 1934 51934 1.265682e+00 0.1204108964
#> 1935 51935 -7.352801e-01 0.1988220304
#> 1936 51936 1.322665e+00 0.0817742455
#> 1937 51937 -1.490029e-01 -1.6036768722
#> 1938 51938 1.211970e+00 -0.1307602411
#> 1939 51939 7.296670e-01 0.0973581108
#> 1940 51940 -8.856179e-01 -1.3770461472
#> 1941 51941 1.216908e+00 0.2921556799
#> 1942 51942 1.184013e+00 0.7107568425
#> 1943 51943 2.270613e-01 1.5658653102
#> 1944 51944 -4.188246e-01 0.7894500992
#> 1945 51945 -1.097905e+00 -1.2960958146
#> 1946 51946 2.164109e+00 -0.1589014111
#> 1947 51947 -5.523758e-01 0.2076622358
#> 1948 51948 1.450994e-01 2.1778401110
#> 1949 51949 7.205318e-01 0.7679760167
#> 1950 51950 -2.411621e-02 -0.5025265158
#> 1951 51951 3.057836e-01 -1.7702792233
#> 1952 51952 -7.574270e-01 2.1670978647
#> 1953 51953 -1.899835e+00 0.2908521026
#> 1954 51954 1.166166e+00 -0.7219523234
#> 1955 51955 -2.301543e+00 0.9004811506
#> 1956 51956 -3.516492e-01 -0.3967600567
#> 1957 51957 8.880967e-01 -0.7287394661
#> 1958 51958 -3.855782e-01 -0.1998220677
#> 1959 51959 -4.622332e-01 -0.5300581550
#> 1960 51960 -1.176917e+00 -0.8432389266
#> 1961 51961 -1.274520e+00 0.7395621683
#> 1962 51962 8.406803e-02 0.1358903610
#> 1963 51963 -9.189616e-01 0.2470694153
#> 1964 51964 -1.096727e+00 0.7895892135
#> 1965 51965 1.232534e-01 0.9722397638
#> 1966 51966 1.192052e+00 -0.1606701846
#> 1967 51967 7.444010e-01 -1.1221606829
#> 1968 51968 2.297514e+00 -1.5364562876
#> 1969 51969 -4.910326e-01 1.1664824476
#> 1970 51970 -1.978601e-01 -1.2383007121
#> 1971 51971 -7.766426e-01 -0.9114417174
#> 1972 51972 7.978456e-01 1.3976375300
#> 1973 51973 9.599147e-01 0.3180303955
#> 1974 51974 2.107590e-01 -1.3526111554
#> 1975 51975 -5.442720e-01 -0.1090014570
#> 1976 51976 8.377934e-02 0.5640471324
#> 1977 51977 1.258791e+00 1.3933321750
#> 1978 51978 -6.936243e-01 0.0757621061
#> 1979 51979 6.588252e-01 1.0259051477
#> 1980 51980 -2.245251e+00 0.2347398053
#> 1981 51981 -6.349363e-01 0.2649187898
#> 1982 51982 -6.366022e-01 -0.4474690901
#> 1983 51983 2.839122e-01 2.7135444959
#> 1984 51984 -1.630039e+00 0.8674311376
#> 1985 51985 9.413154e-01 -0.5635583727
#> 1986 51986 -7.204589e-01 -0.0596263138
#> 1987 51987 -1.733061e+00 0.0513149141
#> 1988 51988 -1.373142e-01 -0.1018134699
#> 1989 51989 3.336966e+00 1.2241965940
#> 1990 51990 -1.220966e+00 -0.0738547509
#> 1991 51991 1.246180e+00 -1.0330765968
#> 1992 51992 -9.247173e-01 -0.0133519763
#> 1993 51993 6.736510e-01 -0.1574059593
#> 1994 51994 3.739036e-01 -0.0763589656
#> 1995 51995 -1.090095e+00 0.9114356146
#> 1996 51996 -2.616336e-01 -1.3101444673
#> 1997 51997 9.523546e-01 -0.2369484132
#> 1998 51998 9.703366e-01 -0.2013723941
#> 1999 51999 1.462568e+00 -0.2229535395
#> 2000 52000 7.693211e-01 -1.1472059830
#> 2001 52001 6.519041e-01 -0.0392858613
#> 2002 52002 -7.329260e-01 -2.2603642600
#> 2003 52003 -1.382323e+00 0.1770742232
#> 2004 52004 9.311702e-01 1.1938860777
#> 2005 52005 -7.178840e-01 1.3132776579
#> 2006 52006 -1.166037e+00 0.9227903906
#> 2007 52007 1.420736e+00 1.0182418027
#> 2008 52008 -1.921202e+00 -1.0594589515
#> 2009 52009 7.989436e-02 -0.6815385962
#> 2010 52010 -1.037270e+00 1.0125516959
#> 2011 52011 -1.445626e+00 -0.9953779185
#> 2012 52012 2.288050e-01 -0.5333403594
#> 2013 52013 -7.409847e-01 -0.5615288369
#> 2014 52014 -7.468028e-01 -0.2460811520
#> 2015 52015 1.287649e+00 -0.9016738873
#> 2016 52016 -3.017117e-01 -0.5764919791
#> 2017 52017 4.753233e-02 -0.7569702503
#> 2018 52018 7.008629e-01 0.8888022476
#> 2019 52019 -4.738689e-01 1.3212513932
#> 2020 52020 9.230069e-02 0.1058701481
#> 2021 52021 -8.022883e-01 -0.5651461242
#> 2022 52022 2.264795e+00 1.1714530685
#> 2023 52023 4.494438e-01 1.1130179527
#> 2024 52024 -4.295670e-01 0.9758969653
#> 2025 52025 1.663593e+00 0.3475148522
#> 2026 52026 3.606516e-01 0.2879490808
#> 2027 52027 3.659710e-01 -0.5188254321
#> 2028 52028 -1.458967e-01 -2.2202960669
#> 2029 52029 2.664673e+00 0.5498139808
#> 2030 52030 8.479658e-01 -0.8955528576
#> 2031 52031 -2.544861e+00 1.0142869866
#> 2032 52032 8.099590e-01 -0.6483446788
#> 2033 52033 3.257430e-01 -1.0377027543
#> 2034 52034 -5.679044e-01 2.2638895152
#> 2035 52035 -7.975929e-01 -1.8022062337
#> 2036 52036 -1.160337e+00 -0.1128028132
#> 2037 52037 4.953488e-01 -0.5830853999
#> 2038 52038 -6.858039e-01 -0.4877517688
#> 2039 52039 2.400714e-01 -0.9380910957
#> 2040 52040 -1.052404e+00 -1.0212059864
#> 2041 52041 -1.653558e+00 0.7279474875
#> 2042 52042 -1.142049e+00 -0.9567158521
#> 2043 52043 -5.426032e-01 1.1750917364
#> 2044 52044 3.857296e-01 1.3193823369
#> 2045 52045 -8.719489e-02 -0.6546346720
#> 2046 52046 -3.198959e-01 -0.5188628653
#> 2047 52047 9.675528e-01 0.1571576126
#> 2048 52048 1.523398e+00 0.8400928228
#> 2049 52049 -1.714066e+00 -0.9428407046
#> 2050 52050 2.126613e+00 -0.2082599706
#> 2051 52051 -1.697231e+00 0.9685672053
#> 2052 52052 3.694037e-01 0.1048585780
#> 2053 52053 4.527359e-01 -0.3417927543
#> 2054 52054 -2.282381e-01 -0.1453052143
#> 2055 52055 2.390539e+00 -0.8316234910
#> 2056 52056 3.701234e-02 0.6594442636
#> 2057 52057 2.590782e-01 0.2933883825
#> 2058 52058 9.677102e-01 0.8610394485
#> 2059 52059 5.013306e-02 -0.0569898967
#> 2060 52060 -2.405220e-01 -0.6884325490
#> 2061 52061 -7.019598e-01 0.3780558903
#> 2062 52062 1.116889e+00 1.0916903262
#> 2063 52063 3.571424e-02 0.7674489679
#> 2064 52064 8.387893e-02 0.3132285242
#> 2065 52065 1.472611e+00 0.6804920562
#> 2066 52066 -2.124875e+00 0.1083732918
#> 2067 52067 -7.161076e-01 0.4005394191
#> 2068 52068 1.426627e+00 0.5386039596
#> 2069 52069 -2.804136e-01 -0.4365079212
#> 2070 52070 -8.194693e-01 -0.1005935423
#> 2071 52071 1.087292e+00 0.3936400731
#> 2072 52072 -1.192064e+00 -0.6297261596
#> 2073 52073 -2.938179e-01 -0.4837175923
#> 2074 52074 8.783220e-01 0.1966985311
#> 2075 52075 3.359311e-01 -0.2343272261
#> 2076 52076 -3.485975e-01 -0.6689265192
#> 2077 52077 -1.421442e+00 0.0522842147
#> 2078 52078 -4.117870e-02 -1.0062277522
#> 2079 52079 -1.562129e+00 0.2675299493
#> 2080 52080 -2.633528e+00 1.1656860511
#> 2081 52081 -8.845155e-01 -0.1912435574
#> 2082 52082 9.695990e-01 0.1327395086
#> 2083 52083 6.279602e-03 0.2259183889
#> 2084 52084 -3.566254e-01 -1.0356827705
#> 2085 52085 -2.149174e-01 0.3605963558
#> 2086 52086 -7.692436e-01 -0.7124025188
#> 2087 52087 -1.575976e+00 -1.5854268597
#> 2088 52088 -7.522055e-01 -0.8478984739
#> 2089 52089 1.727419e+00 -0.8448470625
#> 2090 52090 -2.173050e-02 -0.2318196187
#> 2091 52091 2.204249e-01 -2.1293149793
#> 2092 52092 2.307294e-01 0.2781928365
#> 2093 52093 -1.037202e+00 0.1151208460
#> 2094 52094 -9.635955e-01 0.0863169069
#> 2095 52095 -1.735017e+00 0.7077748436
#> 2096 52096 1.084466e-01 -0.2524128444
#> 2097 52097 5.279361e-01 0.7678021925
#> 2098 52098 6.409040e-02 1.5528779084
#> 2099 52099 -9.404685e-01 -2.0809771628
#> 2100 52100 -8.201445e-01 -0.0529846223
#> 2101 52101 -7.464639e-01 0.6303636383
#> 2102 52102 1.120723e+00 -0.4844969342
#> 2103 52103 -1.861290e+00 -0.3854508472
#> 2104 52104 3.952612e-01 -0.4468564783
#> 2105 52105 7.878250e-02 1.9485531718
#> 2106 52106 -9.751639e-01 -0.4835351523
#> 2107 52107 5.173013e-01 0.1794888669
#> 2108 52108 6.074807e-02 -0.5268264806
#> 2109 52109 1.459126e+00 -0.5446069493
#> 2110 52110 2.308942e+00 0.5827866703
#> 2111 52111 -3.173990e-02 2.0580915819
#> 2112 52112 -1.520109e+00 0.0486625820
#> 2113 52113 1.145251e-01 0.5562152498
#> 2114 52114 8.437764e-01 -1.3430948640
#> 2115 52115 1.531446e-01 1.9154860975
#> 2116 52116 2.425599e+00 0.2302176567
#> 2117 52117 -1.788070e-01 -0.2011410126
#> 2118 52118 7.947241e-01 -0.5789523449
#> 2119 52119 -4.167931e-01 0.7887513724
#> 2120 52120 5.199761e-01 0.3005898704
#> 2121 52121 8.010640e-01 2.2116407685
#> 2122 52122 -2.772070e+00 0.0948039831
#> 2123 52123 -2.285343e+00 2.0458342909
#> 2124 52124 8.699797e-01 -2.0246357468
#> 2125 52125 -5.362876e-01 -1.1862280266
#> 2126 52126 -1.276546e+00 -0.4047788596
#> 2127 52127 7.487812e-01 0.6176692447
#> 2128 52128 -3.322892e-01 -0.2322806997
#> 2129 52129 -5.551689e-01 -0.3896185173
#> 2130 52130 9.711809e-02 0.7047485907
#> 2131 52131 -3.147301e-02 -1.8375007545
#> 2132 52132 1.022237e+00 0.5280697492
#> 2133 52133 1.176806e-01 0.4119849804
#> 2134 52134 8.804325e-01 0.9537296061
#> 2135 52135 1.253733e-01 0.9771581604
#> 2136 52136 -3.590767e-01 0.0566880870
#> 2137 52137 -1.395636e+00 0.4313896730
#> 2138 52138 -3.280148e-01 0.1430918306
#> 2139 52139 -1.379847e+00 0.6455167884
#> 2140 52140 1.085980e+00 0.3707314246
#> 2141 52141 7.064814e-01 0.2239793150
#> 2142 52142 7.127714e-01 1.7073674905
#> 2143 52143 8.649531e-01 -1.5150180083
#> 2144 52144 1.038034e-01 -1.2744040928
#> 2145 52145 2.984390e-01 -0.0415538785
#> 2146 52146 1.456235e+00 0.3609459192
#> 2147 52147 -2.532158e-01 0.9306978273
#> 2148 52148 -1.871869e+00 0.3541814293
#> 2149 52149 -1.769759e-01 0.2114319362
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#> 2201 52201 -3.103986e+00 0.6174567521
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#> 2302 52302 -1.040315e+00 0.6499241102
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#> 2311 52311 -5.920027e-01 -1.1618652527
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#> 2314 52314 -2.439645e+00 0.4733768036
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#> 2316 52316 -4.076919e-02 2.0890244223
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#> 2318 52318 -9.462717e-01 -1.6013354139
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#> 2321 52321 -5.666443e-01 -1.5424152360
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#> 2330 52330 -1.681389e-01 -0.5797060299
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#> 2335 52335 -1.264636e+00 1.3691464157
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#> 2340 52340 -4.737695e-01 0.1679100786
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#> 2344 52344 -1.387682e+00 -1.8616272503
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#> 2346 52346 3.452750e-01 0.1192771570
#> 2347 52347 -3.536587e-01 -0.6997937498
#> 2348 52348 9.237218e-01 0.3371558423
#> 2349 52349 7.384318e-01 0.6478410852
#> 2350 52350 -1.669531e-01 -0.2478712870
#> 2351 52351 7.758314e-01 -1.0647766420
#> 2352 52352 -7.894937e-02 0.8478109296
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#> 2378 52378 -6.178853e-01 -0.4321815156
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#> 2380 52380 1.464586e+00 1.2628428115
#> 2381 52381 -6.109876e-01 -1.4123315732
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#> 2388 52388 -1.395845e+00 -0.1712947602
#> 2389 52389 1.532916e+00 1.1586025222
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#> 2391 52391 -1.360019e+00 -0.4065065781
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#> 2393 52393 -5.735242e-01 -0.4710041438
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#> 2400 52400 9.007773e-01 0.7651325645
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#> 2404 52404 -1.330890e+00 1.1606343855
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#> 2411 52411 -2.093749e+00 1.6117669064
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#> 2415 52415 -6.184112e-01 0.4905232538
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#> 2427 52427 -1.074698e+00 0.5263497488
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#> 2429 52429 -7.720151e-01 0.1263768109
#> 2430 52430 7.871181e-01 0.6366557641
#> 2431 52431 -7.738190e-01 -0.9497719403
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#> 2475 52475 1.466919e-01 1.0249514076
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#> 2480 52480 -8.390414e-02 0.5169992895
#> 2481 52481 -5.774056e-01 -0.5054763807
#> 2482 52482 -3.242948e-01 -0.0178898856
#> 2483 52483 5.324115e-01 -1.3532481331
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#> 2485 52485 -1.513202e+00 0.2716919937
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#> 2488 52488 4.229202e-02 0.2872888689
#> 2489 52489 -2.224916e+00 1.0782362337
#> 2490 52490 2.001345e+00 -0.1305269021
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#> 2493 52493 -1.021217e+00 -1.6194705408
#> 2494 52494 -6.321339e-01 -1.6778571736
#> 2495 52495 2.905761e-01 -0.1929634671
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#> 2498 52498 1.330980e+00 -1.8117114101
#> 2499 52499 -7.715007e-01 1.1969259764
#> 2500 52500 1.039353e+00 0.4899119421
#> 2501 52501 -1.115119e+00 0.6399835517
#> 2502 52502 7.164982e-02 -0.1397688514
#> 2503 52503 1.255005e+00 -0.1231225760
#> 2504 52504 -1.792602e-01 -0.7097304368
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#> 2850 52850 -3.266172e-01 1.9504830751
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#> 5699 55699 -3.395408e+00 0.7257061986
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#> 5701 55701 -2.237479e+00 -1.2192917890
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#> 5704 55704 -1.990168e-01 -0.1903950746
#> 5705 55705 1.171316e+00 0.6758562936
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#> 5713 55713 -4.211089e-02 -1.0710277669
#> 5714 55714 -5.389584e-01 -0.1508289947
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#> 5718 55718 -2.026801e-01 0.6245511846
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#> 5721 55721 -9.155772e-01 -0.7657227696
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#> 5726 55726 -1.200501e+00 0.4750045555
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#> 5738 55738 -1.624068e+00 -1.3092758317
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#> 5745 55745 -4.805534e-03 1.2588239772
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#> 5788 55788 -4.142015e-01 -0.4378616897
#> 5789 55789 7.718688e-01 1.0120075479
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#> 5822 55822 -4.320670e-01 1.0769387556
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#> 5824 55824 1.815337e+00 0.1521852194
#> 5825 55825 -2.602870e+00 1.7115971533
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#> 5827 55827 -5.887632e-01 -0.3010460856
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#> 5834 55834 -1.260034e+00 -1.4263896868
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#> 5838 55838 1.056451e+00 1.2576347716
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#> 5849 55849 -1.441835e-01 0.3304283746
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#> 5855 55855 -3.302498e-01 1.3868565324
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#> 5859 55859 -6.449986e-01 -0.2154107943
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#> 5864 55864 1.266342e-01 0.1635379757
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#> 5867 55867 -8.153125e-01 0.6580985587
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#> 5869 55869 -2.609560e-01 -0.7465245278
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#> 5873 55873 -1.341478e-01 -1.4687911270
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#> 5877 55877 -1.081887e+00 0.5992253195
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#> 5879 55879 -9.605325e-01 0.0009854387
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#> 5889 55889 -2.167083e+00 0.8229793849
#> 5890 55890 1.755478e+00 1.3602430641
#> 5891 55891 -5.911788e-01 0.0839292924
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#> 5893 55893 2.170182e-01 0.6169565111
#> 5894 55894 5.683305e-01 1.8265196173
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#> 5897 55897 -5.009046e-01 1.9321068168
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#> 5900 55900 -5.263350e-01 -0.3249735289
#> 5901 55901 1.083824e-01 -1.1200387295
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#> 5903 55903 1.609588e+00 0.0631152741
#> 5904 55904 -1.461565e-01 -2.6484290433
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#> 5914 55914 1.136951e+00 -0.6939743001
#> 5915 55915 -1.761577e-01 -1.2809181612
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#> 5921 55921 -1.227350e+00 -0.7747328600
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#> 5932 55932 -4.938804e-01 0.3421959932
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#> 6000 56000 1.647125e+00 0.9774657731
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#> 6014 56014 -5.594963e-01 0.4893427986
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#> 6019 56019 -1.049576e+00 0.3494886881
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#> 6022 56022 -1.139688e+00 -1.9460717515
#> 6023 56023 -2.982801e-01 -1.3330519059
#> 6024 56024 -9.783561e-01 -0.5262041694
#> 6025 56025 -1.717091e+00 0.9071361092
#> 6026 56026 -1.688195e+00 0.3043795244
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#> 6028 56028 8.408626e-01 1.0088118658
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#> 6030 56030 -9.199738e-01 0.2264560722
#> 6031 56031 -8.129570e-01 0.0719472641
#> 6032 56032 -2.687724e+00 1.2856448807
#> 6033 56033 1.663344e-01 -0.8755917207
#> 6034 56034 -3.306611e-01 -0.6869689197
#> 6035 56035 -4.835747e-02 -1.6470185273
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#> 6039 56039 -6.594290e-01 -0.5487858363
#> 6040 56040 -1.188743e+00 -0.2024673263
#> 6041 56041 1.890846e-01 -0.8295713420
#> 6042 56042 -2.000751e+00 1.7870978681
#> 6043 56043 1.005443e+00 0.5786071184
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#> 6045 56045 1.814613e+00 -0.9033563912
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#> 6047 56047 -3.024739e-01 0.5277096173
#> 6048 56048 -5.119758e-01 1.9041473124
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#> 6061 56061 -6.806026e-01 0.5941292052
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#> 6068 56068 -1.078015e-01 0.1787889013
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#> 6090 56090 -4.335094e-01 -0.7361027361
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#> 6100 56100 -2.259637e+00 0.5909067069
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#> 6210 56210 4.116465e-01 -1.8095175491
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#> 6212 56212 1.377513e+00 -0.2767669611
#> 6213 56213 -3.931418e-01 2.2394882138
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#> 9933 59933 -2.072922e+00 1.2545099423
#> 9934 59934 2.214631e+00 1.2525620708
#> 9935 59935 1.578448e+00 -1.1225480688
#> 9936 59936 1.224043e+00 1.0008461974
#> 9937 59937 -4.916270e-02 -1.7332542139
#> 9938 59938 3.466276e-01 -0.3750610383
#> 9939 59939 2.195099e+00 0.6414825609
#> 9940 59940 5.789880e-01 0.3410834891
#> 9941 59941 -6.974766e-01 -0.2949894255
#> 9942 59942 4.480827e-01 -2.3679353452
#> 9943 59943 3.308335e-01 0.0697019226
#> 9944 59944 -9.974119e-01 1.2062029930
#> 9945 59945 -1.412586e-01 0.9456099394
#> 9946 59946 -9.083373e-01 0.0833136527
#> 9947 59947 5.506475e-01 0.4514147451
#> 9948 59948 -8.080956e-01 -1.0704755197
#> 9949 59949 -1.838936e+00 -0.4819250448
#> 9950 59950 9.055324e-01 1.2577071847
#> 9951 59951 -1.458752e+00 -0.8681245590
#> 9952 59952 -8.016470e-01 0.0595703324
#> 9953 59953 -9.107848e-01 0.6612965908
#> 9954 59954 -1.405367e+00 -1.5198505724
#> 9955 59955 2.194685e+00 -0.8719416788
#> 9956 59956 -1.138694e+00 0.6999623986
#> 9957 59957 1.822600e-01 -1.4417191434
#> 9958 59958 -3.206102e-01 0.5583328031
#> 9959 59959 4.063791e-01 0.4416877664
#> 9960 59960 -6.228697e-01 0.6315259656
#> 9961 59961 -7.322529e-01 -1.8124548208
#> 9962 59962 2.540571e-01 -1.0720210889
#> 9963 59963 1.513072e-01 0.6433405227
#> 9964 59964 -4.464694e-01 -0.2229934381
#> 9965 59965 2.632531e-01 -0.0626553776
#> 9966 59966 1.709084e+00 0.4526400340
#> 9967 59967 1.292454e+00 -1.1098483147
#> 9968 59968 1.181277e-02 2.2397304710
#> 9969 59969 6.508180e-01 -0.7393979005
#> 9970 59970 -9.376149e-01 -0.5521899928
#> 9971 59971 -2.363968e-01 -0.5088642427
#> 9972 59972 -1.837148e+00 -1.3991977172
#> 9973 59973 2.254955e-01 -0.1474236253
#> 9974 59974 2.823558e-02 -0.6974453895
#> 9975 59975 9.717454e-01 0.4033449119
#> 9976 59976 -1.467972e-01 0.3256495224
#> 9977 59977 -5.358913e-01 -0.7104556349
#> 9978 59978 1.043206e+00 0.0125520509
#> 9979 59979 -1.764530e-01 0.3191221962
#> 9980 59980 1.711648e+00 0.8989544111
#> 9981 59981 3.210551e-01 0.5629231087
#> 9982 59982 1.666602e+00 0.0935284367
#> 9983 59983 4.829806e-02 -0.2410023736
#> 9984 59984 -2.036672e+00 0.2529206633
#> 9985 59985 -1.400436e+00 0.7767539120
#> 9986 59986 -3.708938e-01 0.3746481447
#> 9987 59987 -1.273393e+00 0.5577016577
#> 9988 59988 -3.704573e-01 -1.1198276191
#> 9989 59989 -9.280106e-01 -1.8408395438
#> 9990 59990 1.243220e-01 -0.0513457733
#> 9991 59991 1.087482e-01 -0.6206536601
#> 9992 59992 6.227053e-02 -0.3343832361
#> 9993 59993 -1.801041e-01 0.0738110341
#> 9994 59994 3.130859e-01 0.3464717863
#> 9995 59995 1.179955e+00 1.4135988066
#> 9996 59996 5.610449e-01 -1.4446153760
#> 9997 59997 1.945646e+00 -0.1806469980
#> 9998 59998 -1.166299e+00 0.4013780634
#> 9999 59999 -3.161725e-01 -0.9657092207
#> 10000 60000 -8.726540e-02 -0.6878532968