fst R package for gwas summary data

Background

Scope of using fst to store summary data. e.g. matrix of snps x traits, and each element it’s a list of summary stats.

library(fst)
library(dplyr)

Attaching package: 'dplyr'

The following objects are masked from 'package:stats':

    filter, lag

The following objects are masked from 'package:base':

    intersect, setdiff, setequal, union

nsnp <- 1e7
dat <- tibble(
    rsid = paste0("rs", 1:nsnp),
    beta = rnorm(nsnp),
    af = runif(nsnp),
    se = 1/sqrt(100000) * 1/sqrt(af * (1-af)),
    pval = pnorm(abs(beta)/se, low=F)
)

dat

# A tibble: 10,000,000 × 5
   rsid    beta     af      se      pval
   <chr>  <dbl>  <dbl>   <dbl>     <dbl>
 1 rs1    1.17  0.516  0.00633 0        
 2 rs2   -0.179 0.635  0.00657 2.95e-164
 3 rs3    2.29  0.953  0.0149  0        
 4 rs4    1.81  0.227  0.00755 0        
 5 rs5    1.07  0.0420 0.0158  0        
 6 rs6    1.60  0.157  0.00870 0        
 7 rs7    0.752 0.741  0.00722 0        
 8 rs8   -0.184 0.143  0.00904 1.11e- 92
 9 rs9    1.01  0.731  0.00714 0        
10 rs10   0.252 0.0549 0.0139  8.88e- 74
# ℹ 9,999,990 more rows

write_fst(dat, path="temp.fst", compress=100)
saveRDS(dat, file="temp.rds")

fst is slightly smaller than rds

x <- read_fst("temp.fst", columns=c("beta", "se"), from=6000000, to=6500000)
x

               beta          se
1      1.366814e-02 0.006521798
2      3.957939e-01 0.020017275
3     -1.176724e-01 0.006411955
4      1.169977e+00 0.008938530
5      7.219238e-01 0.013589008
6     -9.654106e-01 0.009383551
7      7.085415e-01 0.007576774
8      5.228809e-01 0.097458954
9      1.202329e+00 0.006551770
10    -1.093983e+00 0.007563213
11    -1.560145e-01 0.006402597
12     1.078939e+00 0.018822451
13     7.376020e-01 0.009854950
14     5.002900e-01 0.017876773
15    -7.216035e-01 0.007406866
16    -2.381157e-01 0.007222535
17     7.941533e-01 0.008167164
18    -5.477820e-01 0.009043164
19     5.780417e-01 0.013271988
20    -4.038808e-01 0.008546289
21    -1.195601e+00 0.007623854
22     2.018004e+00 0.007980531
23     1.358584e-01 0.006340615
24    -1.643396e+00 0.012648249
25     4.993004e-01 0.007761632
26     5.975893e-01 0.006743934
27    -4.941033e-01 0.008309452
28     3.562277e-02 0.006774179
29     1.239650e+00 0.006326964
30     1.486969e+00 0.006659093
31     5.470578e-01 0.007378694
32    -8.801516e-02 0.007886429
33    -1.097014e+00 0.006540771
34    -8.033981e-01 0.006564382
35     1.354014e+00 0.006610483
36    -3.266062e-01 0.007034455
37     1.102932e+00 0.006494301
38    -4.586651e-01 0.006569695
39    -7.703470e-01 0.008289365
40    -1.406138e-02 0.006448825
41    -1.620065e-01 0.008715852
42     1.121607e+00 0.006324988
43    -2.622732e-01 0.006953791
44     7.400795e-01 0.006390884
45     1.709409e+00 0.007600672
46    -5.665195e-01 0.006329954
47     1.035759e-01 0.243227204
48    -1.065599e+00 0.006334676
49    -2.556318e-01 0.006450247
50     8.626191e-01 0.006478129
51     7.972759e-01 0.006478998
52    -1.683239e+00 0.006610303
53     3.033918e-01 0.006562505
54     1.544974e+00 0.018171980
55     7.242494e-01 0.027460958
56    -4.287672e-01 0.013006347
57    -3.318425e-01 0.007670426
58    -1.587062e+00 0.011632937
59    -1.455238e-01 0.008825593
60     2.238197e-01 0.006415775
61     5.694260e-01 0.007930612
62     1.433251e-01 0.007925777
63     4.394365e-01 0.007624256
64    -1.147178e+00 0.007079686
65    -5.161387e-02 0.006817835
66    -6.492042e-01 0.006326742
67    -3.946116e-01 0.006754883
68     6.969383e-01 0.006494457
69     6.492113e-01 0.006376329
70    -1.330649e+00 0.027283484
71     5.290979e-01 0.006459226
72    -8.999474e-02 0.009148943
73    -1.759310e+00 0.006438754
74    -2.111087e+00 0.018743001
75    -4.026724e-01 0.008609533
76    -3.577421e-02 0.007690289
77    -2.307175e-01 0.006409393
78     9.988446e-01 0.008438838
79    -2.044286e-01 0.011632524
80    -2.419976e-01 0.006339312
81     7.873938e-01 0.007238594
82    -1.978419e-01 0.006354678
83    -1.884403e+00 0.006356330
84     1.516626e+00 0.014126297
85    -5.152925e-01 0.006970857
86     1.989335e+00 0.006405641
87    -2.004381e-01 0.009269131
88    -2.114770e+00 0.006793756
89    -1.080510e+00 0.009268221
90     7.381059e-01 0.007761465
91     1.391313e+00 0.031097762
92     2.268516e+00 0.006395880
93    -4.703952e-01 0.006355199
94     3.237653e-01 0.006384593
95    -2.161289e+00 0.008923095
96     5.991605e-01 0.006872584
97     6.925612e-01 0.010879276
98    -6.688527e-02 0.006351308
99     1.272108e+00 0.007803192
100    8.791283e-01 0.011678639
101    5.621313e-01 0.015719723
102    9.079599e-01 0.006915520
103   -5.032088e-01 0.009703291
104    8.865017e-01 0.006326513
105    3.794951e-01 0.006331019
106    6.019721e-01 0.007596987
107   -5.886505e-01 0.007664967
108   -1.028562e+00 0.007557720
109    5.146203e-01 0.036424207
110    1.568936e+00 0.021436382
111   -3.338377e-02 0.007846868
112   -9.594064e-01 0.007071596
113    1.354229e+00 0.016415993
114    1.368157e+00 0.009750402
115   -6.701686e-01 0.006538484
116   -1.743852e+00 0.010367759
117    7.928666e-01 0.006720725
118    8.070436e-01 0.009964780
119    5.130978e-02 0.010328135
120   -4.531144e-01 0.009124058
121    3.019322e-01 0.006334368
122   -6.192814e-01 0.012029999
123    7.581675e-01 0.007634297
124    5.191180e-01 0.008078278
125    3.812657e-01 0.006968884
126   -2.249171e+00 0.006356182
127    7.521999e-01 0.006561312
128   -3.825464e-01 0.009392579
129    1.093384e+00 0.007943484
130    5.160552e-01 0.006714912
131   -2.171238e-03 0.021459448
132    1.884037e-01 0.007414795
133    1.090974e+00 0.006350769
134    2.081525e+00 0.009230529
135    3.036014e-01 0.007500382
136   -8.948383e-03 0.042642701
137   -1.678522e+00 0.006395658
138   -4.461575e-01 0.006326061
139    1.622164e+00 0.009181351
140    1.107431e-01 0.009856052
141   -4.230963e-01 0.006344848
142    1.021518e+00 0.006643331
143   -2.798113e+00 0.006622220
144    1.250567e-01 0.025609379
145   -1.523120e+00 0.006332610
146   -1.219703e+00 0.010185338
147    1.505686e+00 0.010857101
148    3.296600e-01 0.007335999
149   -6.449179e-01 0.032478747
150    2.408050e-01 0.006440224
151    5.247611e-01 0.021255367
152   -2.788305e-01 0.011856193
153   -1.080153e+00 0.009200914
154    1.919809e-01 0.008443836
155   -2.105855e+00 0.008186670
156   -4.382907e-01 0.007055605
157   -2.717851e-01 0.014954328
158    1.457585e+00 0.006589854
159   -1.082086e+00 0.006768014
160   -5.198710e-01 0.012615907
161   -1.089922e+00 0.006502490
162   -1.684553e+00 0.013744855
163    1.516210e-02 0.006576466
164   -7.686733e-01 0.013678465
165   -8.155168e-01 0.025092301
166    1.195371e+00 0.008511682
167    1.738643e-01 0.009473197
168    7.069160e-01 0.007755287
169   -1.480773e+00 0.009686677
170   -1.385776e+00 0.006953936
171    1.444790e-01 0.006332384
172    1.225309e+00 0.010481761
173   -1.489960e+00 0.007623199
174   -4.736262e-01 0.009578588
175   -1.220542e+00 0.011819245
176    5.053681e-01 0.012219981
177    9.468078e-02 0.009586024
178   -1.286557e+00 0.006516384
179    1.729836e-02 0.010080405
180    5.565647e-02 0.006353189
181   -8.578610e-01 0.007683198
182    1.352469e+00 0.010023001
183    1.202889e+00 0.014994020
184   -2.340654e-01 0.010190348
185   -6.683556e-02 0.007446053
186    5.178309e-01 0.007042298
187    2.433403e+00 0.016281386
188    1.285018e+00 0.007637512
189   -2.369187e-01 0.007137182
190   -1.405644e+00 0.006751659
191    2.209677e-01 0.008010540
192   -8.294186e-01 0.007407663
193   -1.361093e+00 0.008646202
194   -1.520536e-01 0.006646972
195    1.251351e+00 0.006343682
196    6.924196e-01 0.010714645
197    7.850739e-01 0.007218534
198   -8.862284e-01 0.006755357
199    1.379364e-01 0.006601911
200    6.941834e-02 0.007086391
201   -6.716958e-01 0.007419019
202    5.051671e-01 0.011854590
203   -5.346481e-01 0.009185832
204   -2.074941e-01 0.006339056
205    7.208475e-01 0.007053715
206    1.054622e+00 0.009002096
207   -1.131363e+00 0.006324719
208    6.699417e-01 0.007715663
209   -9.234781e-01 0.045276551
210    8.549948e-01 0.007369601
211   -1.173852e+00 0.007096752
212   -2.333362e+00 0.015406632
213   -3.052344e-01 0.009651676
214   -5.141138e-01 0.014266180
215    9.239894e-01 0.007070487
216    1.356859e-01 0.013709555
217    1.502791e+00 0.006410279
218    3.851699e-01 0.006611839
219    1.528710e+00 0.006899163
220    5.837397e-01 0.010680379
221    4.397692e-01 0.006583637
222    2.157864e+00 0.013083470
223   -1.046563e+00 0.007001380
224    6.998125e-01 0.015611834
225    6.776300e-01 0.006376555
226    3.284985e-01 0.006850571
227   -1.358867e+00 0.006347430
228    2.387808e-01 0.007668589
229   -2.002096e-01 0.009019374
230    2.658968e+00 0.008685813
231   -9.592952e-01 0.006553518
232   -9.303210e-01 0.014452926
233   -7.665415e-01 0.023482004
234   -1.193234e+00 0.006332292
235   -2.051064e-01 0.007910577
236    1.389655e-01 0.009100506
237   -4.493905e-01 0.006462296
238   -6.792056e-01 0.008480209
239   -1.194264e+00 0.006324953
240   -3.194859e-01 0.007320397
241    1.110929e-01 0.006812587
242    1.465027e+00 0.009420559
243   -8.281467e-01 0.007668365
244    5.837171e-01 0.008069666
245    1.579327e+00 0.007142150
246    9.887167e-01 0.007823829
247    6.196895e-02 0.008036608
248   -3.622616e-01 0.025849520
249    9.463847e-01 0.006499258
250    1.202051e+00 0.020981755
251   -5.149156e-01 0.006507397
252    1.677544e+00 0.007645925
253    1.097500e+00 0.013283162
254    4.482094e-02 0.040333007
255    5.015723e-01 0.006547825
256   -1.115051e+00 0.008792331
257   -7.410368e-01 0.006795255
258   -8.798886e-01 0.006679070
259    7.625841e-01 0.011815708
260   -3.184729e+00 0.049382143
261   -1.222085e+00 0.007495114
262   -5.635327e-01 0.010514011
263   -1.638284e-01 0.006711762
264   -1.231019e-01 0.006580813
265   -2.537806e-01 0.006558347
266    1.077452e-01 0.008585148
267   -6.940529e-01 0.006561866
268   -7.257626e-02 0.006994462
269   -2.199352e-01 0.007665200
270   -6.101940e-02 0.015644373
271   -1.021384e+00 0.012811690
272    4.937376e-01 0.015332233
273   -2.394596e+00 0.006818815
274   -6.865091e-01 0.015887434
275   -9.348345e-01 0.007871410
276   -5.799417e-01 0.013681257
277    4.759317e-01 0.006848205
278    1.760183e+00 0.006986442
279    1.175815e+00 0.013692364
280    3.252327e-01 0.006468933
281    5.986179e-01 0.008480596
282   -1.577367e+00 0.006640202
283   -7.533391e-01 0.008292885
284    5.309405e-01 0.007512641
285    1.067171e+00 0.007751073
286    4.832548e-01 0.006426394
287    8.618806e-01 0.006353835
288   -1.783620e-01 0.006455797
289    5.320338e-01 0.015605623
290    1.906478e+00 0.008022652
291   -6.068482e-01 0.026958913
292   -1.514909e+00 0.006517699
293   -1.278699e+00 0.006935499
294   -1.988786e+00 0.006485636
295   -3.041089e-01 0.008403432
296   -1.707194e+00 0.007450177
297   -7.858335e-02 0.007231116
298   -1.450714e+00 0.019741380
299    9.873797e-02 0.008541662
300    1.681161e+00 0.009108416
301    1.059645e-01 0.008263610
302   -9.456981e-01 0.006484734
303    7.744513e-01 0.006881301
304    7.417744e-01 0.010446924
305    7.547187e-01 0.006440588
306    1.547867e+00 0.007020014
307   -7.681428e-01 0.006360167
308   -1.188343e+00 0.006338281
309    2.831842e-02 0.006326858
310   -6.960213e-02 0.006375248
311   -2.062617e-03 0.007412971
312   -1.294510e-01 0.007827323
313    1.455811e+00 0.007294843
314    1.430847e-01 0.032796883
315   -6.223427e-01 0.006376713
316   -1.506456e+00 0.007211714
317   -5.854982e-01 0.008539938
318    1.737648e+00 0.006476300
319   -1.196080e+00 0.015577417
320    4.629173e-01 0.006798228
321    4.845256e-01 0.007133994
322   -1.411410e+00 0.006639399
323   -1.597602e+00 0.006324834
324    8.869221e-01 0.007694331
325    8.787735e-01 0.007635469
326    7.448102e-01 0.010436833
327   -5.565049e-01 0.006327990
328    5.702964e-01 0.006455346
329   -3.429373e-01 0.008182998
330    9.373580e-01 0.006335306
331   -1.369697e+00 0.007119665
332    4.972606e-02 0.007639825
333   -5.855063e-02 0.006373154
334    6.452226e-01 0.008941588
335    7.769511e-01 0.006447876
336    1.311091e+00 0.006570051
337    1.276397e+00 0.007984688
338   -1.197393e-01 0.006639255
339   -8.795030e-01 0.006782727
340   -1.924573e+00 0.006339586
341   -3.501729e-01 0.007989401
342   -5.296879e-01 0.008280486
343   -1.347341e+00 0.006562660
344    3.299696e-02 0.009011158
345   -5.566065e-01 0.006431887
346   -2.502514e-02 0.009562433
347    2.548025e-01 0.032589698
348   -1.034804e+00 0.007447915
349    1.236695e+00 0.006346631
350    1.776931e-01 0.006334908
351    1.473074e+00 0.006990414
352   -1.646947e+00 0.035460922
353   -1.177096e+00 0.006445427
354    6.769089e-01 0.006737375
355    8.231026e-01 0.051125074
356   -2.693017e-01 0.007611865
357    1.622398e-01 0.021597191
358   -8.203116e-01 0.015433497
359    1.649999e+00 0.006447310
360    1.611111e+00 0.008124699
361   -1.129632e+00 0.006757196
362   -1.915835e+00 0.006415368
363   -1.841607e-01 0.006838742
364   -8.794498e-01 0.026428370
365   -8.587150e-02 0.007218942
366    6.508899e-01 0.009464357
367   -2.127552e-01 0.007227176
368   -7.733770e-01 0.006336145
369    9.261221e-01 0.008843982
370   -1.239195e+00 0.012951275
371   -2.351805e-01 0.007828098
372   -3.994771e-01 0.027525779
373    8.638197e-02 0.007770793
374    4.604223e-02 0.010741915
375   -1.003986e-01 0.010715341
376   -1.810292e+00 0.006604289
377    2.112975e-01 0.016351581
378   -3.872473e-01 0.006352902
379   -1.590819e+00 0.019193210
380    8.937372e-02 0.007296023
381    7.644410e-01 0.007066386
382   -4.931910e-02 0.011104773
383    3.200987e-02 0.006822382
384   -1.048104e+00 0.006558744
385   -7.797760e-01 0.006783075
386   -1.190517e+00 0.036599404
387   -1.255319e+00 0.006333577
388    5.165018e-01 0.006549984
389   -2.593435e+00 0.006778627
390    1.317370e+00 0.006331104
391    2.397304e+00 0.007073721
392    4.239895e-02 0.006674872
393   -1.161592e-01 0.011601497
394    6.702869e-01 0.006346650
395    5.783942e-01 0.009313806
396    3.127650e-01 0.006989134
397    1.004637e+00 0.006372861
398   -1.610058e+00 0.006333570
399    1.013215e-01 0.006378095
400   -1.485492e+00 0.007392426
401   -2.185000e+00 0.006592558
402   -2.466482e+00 0.006346413
403   -1.314200e+00 0.012832710
404    3.556154e-03 0.006769539
405    1.212108e-01 0.006435593
406   -6.370780e-01 0.010775289
407   -1.346527e+00 0.013860041
408    1.009796e+00 0.026592517
409    1.290925e+00 0.016020982
410   -1.492216e+00 0.011101847
411    5.132480e-01 0.025871267
412    3.843183e-01 0.006411758
413   -1.756967e-01 0.010610889
414    9.190547e-01 0.007202316
415   -1.653687e+00 0.006609162
416   -2.083137e-01 0.011105003
417   -9.399287e-01 0.007929577
418    1.894598e+00 0.010164498
419    1.259997e+00 0.009670377
420    7.161152e-01 0.008142270
421   -1.839361e+00 0.006328988
422    6.472713e-02 0.007263146
423    2.345709e+00 0.006693832
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1748   7.829595e-01 0.006844386
1749   6.184187e-01 0.006845603
1750   1.062741e+00 0.006434649
1751  -1.200223e+00 0.006334680
1752   4.620676e-01 0.006988575
1753  -9.840811e-02 0.008467792
1754  -7.513717e-01 0.006874637
1755   7.182580e-01 0.019774079
1756  -5.170479e-01 0.006325039
1757  -7.315715e-02 0.006937300
1758  -3.635900e-01 0.008827129
1759  -5.135880e-01 0.006331292
1760   1.441057e+00 0.009234439
1761  -8.835706e-02 0.018534761
1762   1.019395e+00 0.022336714
1763  -1.804881e-01 0.007741024
1764   3.056411e-01 0.012444734
1765  -1.115135e+00 0.006370397
1766  -3.352047e-01 0.007196522
1767   1.259392e+00 0.006895110
1768  -1.105371e-02 0.008258520
1769   1.599860e+00 0.007110167
1770   1.906668e-01 0.006352495
1771  -1.916952e+00 0.019093700
1772  -1.055176e+00 0.006605690
1773  -1.625528e+00 0.007228965
1774   1.076792e+00 0.006603249
1775   1.173166e+00 0.009833915
1776   5.168227e-02 0.006615571
1777  -5.743458e-01 0.006648459
1778  -6.831277e-01 0.006590860
1779   3.977061e-01 0.007146591
1780   6.271892e-02 0.022457269
1781   7.063169e-01 0.010396131
1782   1.018283e+00 0.008602663
1783  -1.356671e+00 0.006355964
1784  -1.302683e+00 0.011484719
1785   7.544033e-01 0.012769714
1786   4.320213e-02 0.007606482
1787  -9.237916e-01 0.006325088
1788   1.142567e+00 0.006472532
1789   1.257652e-01 0.007965881
1790  -7.904033e-01 0.009185122
1791   1.105122e+00 0.009568177
1792  -3.402710e-01 0.008746314
1793  -3.136830e-01 0.021079809
1794   4.574987e-01 0.006444795
1795   1.912808e+00 0.008791896
1796   1.687626e+00 0.007268088
1797  -6.979850e-01 0.006921683
1798  -1.652136e+00 0.006387134
1799   1.222392e+00 0.006508413
1800   1.303588e+00 0.008754334
1801  -1.134216e+00 0.008492233
1802   1.084363e+00 0.010206201
1803  -1.335905e-01 0.275900370
1804   5.326815e-01 0.020194459
1805   5.421472e-01 0.006435197
1806  -5.910121e-01 0.012461630
1807  -5.278099e-02 0.007748888
1808   8.715193e-02 0.010279044
1809  -6.617217e-01 0.007070277
1810   8.511309e-01 0.007058631
1811  -1.224791e+00 0.006592372
1812  -2.257452e+00 0.006547279
1813   2.010002e-01 0.007516107
1814   7.167669e-01 0.007834065
1815  -1.605637e+00 0.008396160
1816  -3.146396e-01 0.006580350
1817   6.016122e-02 0.006420990
1818  -2.369730e-01 0.006445886
1819  -2.395279e+00 0.011901224
1820   1.831189e-01 0.025240573
1821  -2.085513e-01 0.007219482
1822   2.044360e+00 0.010943781
1823  -7.571688e-01 0.006445621
1824   1.066512e+00 0.006325587
1825  -9.095917e-01 0.006782294
1826  -3.967200e-01 0.006413229
1827   8.346489e-01 0.007748847
1828  -1.485398e-01 0.006327161
1829  -4.757477e-01 0.006558454
1830   1.573354e-01 0.011415219
1831   7.828802e-01 0.008675966
1832   4.193471e-01 0.006361712
1833   1.463441e-01 0.026321754
1834  -6.805237e-01 0.006374513
1835   1.051839e+00 0.013119385
1836  -1.047204e+00 0.014340923
1837  -4.464357e-01 0.007488516
1838  -5.812800e-01 0.006652437
1839   1.698599e+00 0.006331514
1840  -2.287681e+00 0.009292095
1841  -2.835072e-01 0.006404401
1842   8.281992e-01 0.007098377
1843   3.199368e-01 0.011954195
1844   7.333146e-01 0.006332372
1845  -7.555157e-02 0.006783906
1846   8.931958e-02 0.006878099
1847   9.104750e-01 0.006875336
1848  -1.009310e+00 0.006326136
1849  -1.043291e+00 0.137388675
1850  -5.297252e-02 0.109117961
1851   2.655678e-01 0.006585480
1852  -2.454448e-01 0.006587060
1853  -1.319920e+00 0.006558257
1854   2.927952e-01 0.006616470
1855   2.523321e-01 0.008537573
1856   8.815957e-01 0.012195497
1857  -8.616457e-01 0.007128084
1858   8.368932e-01 0.006361897
1859   2.630018e+00 0.008474315
1860  -5.015917e-01 0.006392025
1861  -9.608049e-01 0.009578676
1862  -7.655004e-01 0.006922155
1863  -4.349311e-01 0.014998501
1864  -3.954705e-01 0.014547126
1865   1.128305e+00 0.007485248
1866  -1.621266e+00 0.008208122
1867  -2.401153e-01 0.006333253
1868   5.329450e-01 0.006324835
1869   2.318977e-01 0.007189548
1870   2.592371e-01 0.007276268
1871   1.135048e-01 0.006350743
1872  -7.589632e-01 0.006835552
1873   1.376102e+00 0.008558110
1874   6.126349e-01 0.013685811
1875   1.207255e+00 0.009866710
1876   7.179471e-01 0.006966680
1877  -1.685336e+00 0.008653255
1878  -1.566988e+00 0.057635316
1879   1.750571e-02 0.007426456
1880   3.656839e-01 0.008065103
1881  -2.457218e-01 0.007950067
1882   7.741984e-01 0.006327652
1883  -1.289316e+00 0.015122254
1884  -1.844764e+00 0.006928684
1885   3.940452e-01 0.007164422
1886   9.543041e-03 0.006590143
1887   1.667843e+00 0.013785343
1888   1.102128e+00 0.010309817
1889  -1.114834e+00 0.006364617
1890  -8.453775e-01 0.006480964
1891   1.266648e-01 0.016184167
1892   8.729629e-01 0.006434506
1893  -9.701377e-01 0.006395967
1894  -1.094354e+00 0.048357814
1895   1.160422e-02 0.006868427
1896  -3.182027e-01 0.006508911
1897  -1.497371e+00 0.006907296
1898  -1.623428e+00 0.006341319
1899   2.034601e+00 0.007052520
1900  -1.303833e-01 0.011725451
1901  -1.433557e-01 0.009612716
1902   5.095847e-01 0.007320170
1903  -1.235924e+00 0.006884007
1904  -7.377165e-01 0.010493530
1905  -1.354147e+00 0.007087130
1906  -3.731179e-01 0.006327150
1907  -1.642690e+00 0.010479328
1908   5.941425e-01 0.006343985
1909  -2.762308e-01 0.012509085
1910   5.794014e-01 0.009303364
1911   6.369063e-01 0.009875821
1912  -1.214256e+00 0.020076942
1913  -3.732227e-01 0.006466308
1914  -1.145518e+00 0.008430044
1915   6.552470e-01 0.006392380
1916   9.619287e-01 0.007296110
1917  -1.598481e+00 0.007906028
1918   5.910059e-01 0.006665100
1919  -1.580828e-01 0.006750056
1920  -4.504356e-01 0.006383336
1921  -5.925154e-02 0.006360930
1922   1.606437e+00 0.011635013
1923  -1.037401e+00 0.009006414
1924   1.030411e+00 0.006715671
1925  -1.547376e-01 0.006940377
1926  -2.226612e-01 0.015265037
1927  -1.358219e-01 0.009372102
1928  -3.180013e-01 0.007694181
1929  -1.415285e+00 0.012189076
1930   2.678144e-01 0.022436152
1931   3.002391e-01 0.006929879
1932   2.382973e+00 0.026417098
1933   1.048807e-01 0.006596458
1934   5.744020e-01 0.006342602
1935  -1.010262e+00 0.006330297
1936   3.104917e+00 0.006361159
1937  -7.379350e-01 0.007270297
1938   4.522876e-02 0.006352727
1939  -3.078455e-01 0.013936236
1940   9.152557e-01 0.006701436
1941  -2.159512e-01 0.041738141
1942   1.198044e+00 0.028700324
1943  -7.001824e-01 0.007439018
1944  -1.442345e-01 0.006347668
1945  -1.010092e+00 0.006324868
1946  -1.395179e+00 0.019799781
1947   1.166427e+00 0.012729778
1948  -8.215383e-01 0.006401313
1949  -9.405770e-01 0.022134528
1950  -6.480441e-01 0.008756867
1951  -1.716511e+00 0.006438704
1952   9.291545e-01 0.010706111
1953  -1.204034e+00 0.006992103
1954   1.908902e+00 0.006933728
1955   7.737186e-01 0.006351720
1956   9.230808e-01 0.006479977
1957   5.962259e-01 0.010111772
1958  -5.667432e-01 0.006525350
1959  -2.082568e+00 0.023880750
1960   1.034531e+00 0.006573778
1961   2.047199e-01 0.010503857
1962   1.175929e+00 0.006347383
1963   3.194238e-01 0.032471769
1964  -7.372511e-02 0.009173445
1965  -1.614259e-01 0.006491920
1966   7.407334e-01 0.007287814
1967   1.666308e-02 0.007517030
1968   2.651243e+00 0.006324814
1969   6.508379e-01 0.007077674
1970  -8.679495e-01 0.006464776
1971  -6.188400e-01 0.006544050
1972   1.763514e+00 0.006340050
1973   4.386003e-01 0.006389064
1974  -5.243587e-01 0.007137271
1975  -7.466809e-01 0.007548418
1976   1.144342e+00 0.006325415
1977   1.502392e+00 0.006876291
1978   7.874733e-01 0.006387206
1979   1.875841e+00 0.013457036
1980   1.338960e+00 0.007466703
1981  -1.382156e+00 0.006850997
1982  -4.322187e-01 0.006510060
1983   5.020327e-01 0.007325642
1984  -8.408401e-01 0.008873226
1985   8.153463e-01 0.006885069
1986  -3.797213e-01 0.011002677
1987   1.841021e-01 0.009189313
1988   1.887735e+00 0.011418954
1989   8.029635e-01 0.008701667
1990   1.478873e-01 0.006508584
1991  -1.710529e+00 0.015161718
1992  -5.511339e-01 0.006452767
1993   4.145322e-01 0.007623864
1994  -1.277594e+00 0.010574805
1995   9.180213e-01 0.043613306
1996  -4.314054e-01 0.007581017
1997  -1.960546e+00 0.017814258
1998  -9.077952e-01 0.018040474
1999   1.362634e+00 0.006338314
2000   1.874967e+00 0.007294702
2001  -4.178126e-01 0.015060510
2002  -9.313403e-02 0.012353073
2003   7.045910e-02 0.006433665
2004  -1.174054e-01 0.006877638
2005  -9.681799e-01 0.006553991
2006   1.616274e+00 0.012461282
2007   2.993189e-01 0.012468227
2008  -7.812746e-02 0.006452206
2009   4.391157e-02 0.006931454
2010  -1.098822e+00 0.008796498
2011   1.356974e+00 0.009443725
2012  -5.299411e-01 0.006339407
2013   9.710983e-02 0.007017832
2014   2.250135e+00 0.006418226
2015   1.278860e+00 0.006863086
2016   1.094286e+00 0.006709929
2017  -3.574542e-01 0.008331392
2018   2.088732e+00 0.006457910
2019   1.526662e+00 0.008158825
2020  -1.339474e+00 0.008998180
2021   3.850191e-01 0.035827407
2022  -5.562999e-01 0.007222074
2023   1.688520e+00 0.006465226
2024   4.769118e-01 0.006468480
2025   8.152577e-01 0.008192546
2026  -2.237168e+00 0.006365746
2027   1.519714e+00 0.013132154
2028   1.049837e+00 0.012133819
2029  -6.814238e-01 0.006330449
2030   8.731672e-01 0.023188569
2031  -2.285411e-01 0.006384586
2032   3.701681e-01 0.007640737
2033  -1.294380e+00 0.007046516
2034  -1.765063e+00 0.014581753
2035  -8.739860e-01 0.028134686
2036  -4.742391e-01 0.015014206
2037   8.838030e-01 0.006417536
2038  -1.495554e-01 0.006953821
2039   8.338351e-01 0.006339305
2040  -9.818673e-01 0.006370810
2041   7.920735e-01 0.006354865
2042  -9.566462e-01 0.006890023
2043   1.029045e+00 0.008231049
2044   4.280978e-01 0.017149311
2045   2.178951e+00 0.007283388
2046   2.161099e+00 0.006667566
2047   3.609755e-01 0.007321079
2048  -2.006327e+00 0.007044207
2049   1.330675e-01 0.006641170
2050   1.283440e+00 0.006484605
2051  -1.405559e+00 0.014183670
2052   1.802628e-01 0.007992588
2053  -5.149360e-02 0.008123725
2054   1.781903e+00 0.009571119
2055   4.960863e-01 0.006355313
2056  -1.049260e+00 0.018916287
2057  -2.409973e-01 0.007157350
2058  -1.149649e+00 0.006420717
2059   3.348073e-01 0.008442428
2060  -2.057545e+00 0.011315189
2061  -6.199517e-01 0.006326500
2062  -1.790558e+00 0.006347789
2063   2.829303e+00 0.009470572
2064  -5.840455e-01 0.007267755
2065   1.735601e+00 0.019171795
2066  -7.257113e-01 0.006324955
2067  -4.802673e-01 0.007937994
2068  -1.212411e+00 0.007957665
2069  -1.116050e-01 0.014531868
2070   9.279495e-02 0.009350532
2071   2.909285e-01 0.007002682
2072   1.517213e-01 0.006326369
2073   5.043126e-01 0.010314705
2074  -1.135548e+00 0.006683188
2075  -7.233271e-01 0.006334918
2076  -6.345615e-01 0.006368111
2077   5.919235e-01 0.059195581
2078  -1.287768e+00 0.006353722
2079   1.141599e+00 0.007616074
2080  -1.890051e+00 0.006477519
2081   7.478690e-01 0.006745461
2082   1.268720e-01 0.011505181
2083  -6.911794e-01 0.006338479
2084   2.418959e+00 0.006387724
2085  -1.654881e+00 0.007775029
2086  -1.456387e+00 0.006877677
2087  -9.563151e-01 0.006555991
2088   2.464451e+00 0.033219161
2089  -3.809293e-01 0.006549058
2090  -4.418610e-02 0.006708368
2091  -8.244702e-01 0.008098789
2092   1.114986e+00 0.006509873
2093   1.004844e-01 0.006966789
2094   8.851964e-01 0.006389614
2095   1.963819e-01 0.006333202
2096   4.992424e-01 0.007413208
2097   1.439929e+00 0.006821341
2098   7.074847e-02 0.006896794
2099  -7.442685e-01 0.007541635
2100   1.314843e+00 0.006453419
2101  -3.328398e-01 0.016230161
2102  -1.926719e-01 0.006392305
2103  -2.149651e-01 0.009477640
2104   9.457199e-01 0.006587333
2105  -1.771959e-01 0.024702106
2106  -2.415720e-01 0.007239941
2107   8.836569e-01 0.010537184
2108  -4.498339e-01 0.009359101
2109  -1.521774e-01 0.007732440
2110  -1.889310e+00 0.008096020
2111  -6.277144e-01 0.006968097
2112   1.673564e-01 0.006614375
2113   1.390093e+00 0.008204301
2114  -2.053605e+00 0.011486852
2115   6.332385e-03 0.006481290
2116  -9.262569e-01 0.006678525
2117  -1.265863e+00 0.008392079
2118   6.103705e-01 0.007171016
2119  -5.603936e-01 0.007789452
2120   1.586100e+00 0.008564368
2121  -7.416805e-01 0.008255429
2122   3.761942e-01 0.019153744
2123  -5.152693e-01 0.020259015
2124  -6.101967e-01 0.009021417
2125  -1.191753e+00 0.008040818
2126   1.903540e+00 0.009514068
2127   3.976526e-01 0.008952624
2128  -1.871324e-01 0.008787571
2129  -6.338425e-01 0.006607552
2130  -9.970420e-01 0.006330639
2131   1.174617e+00 0.006683973
2132  -2.302424e+00 0.006390078
2133  -5.145569e-01 0.006640915
2134   6.230902e-02 0.006678763
2135  -3.921454e-01 0.006723402
2136  -1.879074e-01 0.009957288
2137   2.057305e-01 0.006358279
2138   5.590761e-01 0.006324689
2139   2.062687e+00 0.006711446
2140  -3.894995e-01 0.007302922
2141  -1.758433e+00 0.008339099
2142  -5.863815e-02 0.006450158
2143  -3.923090e-01 0.007166937
2144  -8.466661e-01 0.006536915
2145   2.073244e+00 0.019771391
2146   4.379093e-01 0.007953626
2147  -6.986457e-01 0.007377680
2148   1.171944e+00 0.006809046
2149  -3.185801e-01 0.006343234
2150   5.158953e-01 0.030660486
2151   3.180418e-01 0.009472866
2152   1.028675e+00 0.006738127
2153  -1.117179e-01 0.006760410
2154  -1.537187e+00 0.007305374
2155  -3.299354e-02 0.006420868
2156   1.243432e+00 0.006451787
2157  -7.612237e-02 0.006464141
2158   9.886628e-01 0.006330292
2159   1.729371e+00 0.043828289
2160  -1.405464e-01 0.008665117
2161   1.036491e+00 0.013750205
2162  -1.196737e+00 0.039780879
2163  -9.602610e-01 0.023083190
2164  -1.165282e+00 0.006347204
2165  -1.107300e+00 0.018542284
2166  -2.784412e-01 0.006717497
2167  -8.084656e-01 0.008110518
2168  -3.666764e-01 0.009171330
2169   1.233917e+00 0.007864556
2170   3.793355e-01 0.007065927
2171  -2.651021e-01 0.007914341
2172   6.337996e-01 0.006328343
2173   1.688374e-01 0.008612732
2174   2.256873e-01 0.009104848
2175   4.827164e-01 0.006969460
2176   6.499260e-01 0.007359794
2177   2.133777e-01 0.006466823
2178   5.338273e-01 0.008410287
2179   2.477149e+00 0.060705109
2180  -1.294646e+00 0.006335925
2181   1.127990e+00 0.006488304
2182  -1.331637e+00 0.008277567
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