I have time-series data (see pic, and data below).
My interest is in bumpy Blue line(v6); the Yellow line(v8) turns ahead of v6, as a precursor.
My challenge is how to use SAS to ID the turn of Yellow line(v8, v15 is ema of v8), with some metrics.
Any help, Thanks. Coding is appreciated.
v3
v6
v8
v11
v14
v15
375
4000.548
4001.694
4000.787
3999.176
3999.176
376
4000.554
4001.499
4000.72
3999.459
3999.459
377
4000.336
4001.189
4000.508
3999.322
3999.456
378
4000.353
4001.269
4000.469
3999.347
3999.453
379
4000.402
4001.002
4000.868
3999.27
3999.449
380
4000.444
4001.007
4000.888
3999.377
3999.447
381
4000.317
4001.012
4000.456
3999.492
3999.448
382
4000.512
4001.097
4000.458
4000.025
3999.462
383
4000.619
4001.029
4000.704
4000.13
3999.479
384
4000.53
4001.003
4000.696
3999.883
3999.489
385
4000.456
4000.852
4000.648
3999.85
3999.498
386
4000.554
4001.018
4000.737
3999.894
3999.508
387
4000.464
4000.965
4000.798
3999.586
3999.51
388
4000.363
4000.866
4000.611
3999.59
3999.512
389
4000.374
4001.105
4000.458
3999.583
3999.514
390
4000.48
4000.893
4000.822
3999.678
3999.518
391
4000.458
4000.935
4000.707
3999.707
3999.523
392
4000.392
4000.984
4000.534
3999.662
3999.526
393
4000.445
4000.963
4000.318
4000.111
3999.541
394
4000.581
4001.141
4000.644
3999.975
3999.552
395
4000.736
4001.314
4000.687
4000.249
3999.569
396
4000.68
4001.242
4000.684
4000.144
3999.583
397
4000.685
4001.092
4000.867
4000.08
3999.596
398
4000.603
4001.239
4000.7
3999.884
3999.603
399
4000.532
4001.318
4000.234
4000.148
3999.617
400
4000.538
4001.301
4000.497
3999.866
3999.623
401
4000.432
4001.12
4000.521
3999.675
3999.624
402
4000.416
4001.103
4000.355
3999.84
3999.63
403
4000.445
4001.057
4000.54
3999.753
3999.633
404
4000.612
4001.259
4000.729
3999.86
3999.638
405
4000.437
4001.049
4000.544
3999.73
3999.641
406
4000.396
4000.889
4000.558
3999.736
3999.643
407
4000.526
4001.067
4000.586
3999.942
3999.651
408
4000.599
4001.423
4000.576
3999.849
3999.655
409
4000.458
4000.994
4000.794
3999.545
3999.653
410
4000.463
4001.007
4000.474
3999.937
3999.66
411
4000.485
4001.242
4000.336
3999.95
3999.667
412
4000.504
4001.041
4000.489
4000.015
3999.676
413
4000.635
4001.207
4000.568
4000.175
3999.688
414
4000.52
4000.926
4000.644
3999.986
3999.696
415
4000.435
4000.939
4000.559
3999.809
3999.699
416
4000.582
4001.354
4000.62
3999.808
3999.701
417
4000.523
4001.089
4000.826
3999.623
3999.699
418
4000.511
4000.83
4000.73
3999.944
3999.705
419
4000.48
4000.817
4000.615
3999.998
3999.713
420
4000.404
4000.932
4000.311
4000.018
3999.72
421
4000.394
4000.791
4000.342
4000.08
3999.729
422
4000.316
4000.804
4000.246
3999.94
3999.735
423
4000.473
4000.883
4000.517
4000.031
3999.742
424
4000.486
4000.772
4000.59
4000.09
3999.751
425
4000.451
4000.691
4000.717
3999.902
3999.755
426
4000.65
4000.812
4001.03
4000.038
3999.762
427
4000.529
4000.845
4000.781
3999.927
3999.766
428
4000.486
4000.756
4000.831
3999.814
3999.767
429
4000.247
4000.883
4000.148
3999.766
3999.767
430
4000.275
4000.816
4000.167
3999.894
3999.77
431
4000.339
4000.813
4000.332
3999.9
3999.773
432
4000.268
4000.862
4000.136
3999.866
3999.776
433
4000.486
4001.011
4000.536
3999.931
3999.78
434
4000.394
4000.777
4000.49
3999.917
3999.783
435
4000.332
4000.865
4000.142
4000.058
3999.79
436
4000.271
4000.533
4000.289
4000.002
3999.795
437
4000.294
4000.498
4000.37
4000.011
3999.801
438
4000.377
4000.594
4000.567
3999.941
3999.804
439
4000.243
4000.606
4000.391
3999.72
3999.802
440
4000.334
4000.343
4000.791
3999.774
3999.801
441
4000.306
4000.41
4000.702
3999.729
3999.8
442
4000.699
4001.315
4000.756
4000.048
3999.806
443
4000.223
4000.314
4000.348
3999.986
3999.81
444
4000.258
4000.333
4000.395
4000.02
3999.815
445
4000.336
4000.585
4000.524
3999.872
3999.817
446
4000.226
4000.127
4000.456
4000.042
3999.823
447
4000.268
4000.295
4000.313
4000.188
3999.832
448
4000.374
4000.286
4000.585
4000.201
3999.841
449
4000.323
4000.231
4000.506
4000.188
3999.85
450
4000.425
4000.535
4000.474
4000.263
3999.86
451
4000.409
4000.372
4000.491
4000.344
3999.872
452
4000.3
4000.256
4000.612
3999.966
3999.874
453
4000.394
4000.356
4000.489
4000.316
3999.885
454
4000.526
4000.324
4000.569
4000.664
3999.905
455
4000.442
4000.295
4000.671
4000.303
3999.915
456
4000.439
4000.444
4000.447
4000.423
3999.928
457
4000.362
4000.173
4000.561
4000.3
3999.937
458
4000.541
4000.509
4000.609
4000.49
3999.951
459
4000.713
4000.583
4000.856
4000.662
3999.968
460
4000.485
4000.304
4000.454
4000.693
3999.987
461
4000.443
4000.141
4000.466
4000.701
4000.004
462
4000.499
4000.359
4000.695
4000.396
4000.014
463
4000.559
4000.236
4000.651
4000.752
4000.033
464
4000.551
4000.357
4000.801
4000.431
4000.043
465
4000.441
4000.004
4000.762
4000.466
4000.053
466
4000.394
4000.123
4000.509
4000.512
4000.065
467
4000.34
4000.002
4000.224
4000.8
4000.083
468
4000.383
3999.981
4000.389
4000.754
4000.1
469
4000.304
3999.992
4000.268
4000.641
4000.113
470
4000.501
4000.371
4000.514
4000.607
4000.126
471
4000.435
4000.314
4000.331
4000.674
4000.139
472
4000.709
4000.565
4000.75
4000.796
4000.156
473
4000.592
4000.379
4000.786
4000.558
4000.166
474
4000.404
4000.348
4000.427
4000.43
4000.173
475
4000.478
4000.358
4000.466
4000.607
4000.183
476
4000.573
4000.246
4000.702
4000.728
4000.197
477
4000.315
3999.896
4000.348
4000.669
4000.209
478
4000.399
4000.126
4000.623
4000.386
4000.213
479
4000.497
4000.321
4000.516
4000.641
4000.224
480
4000.473
4000.202
4000.405
4000.81
4000.239
481
4000.514
3999.956
4000.539
4001.01
4000.258
482
4000.471
4000.148
4000.25
4001.044
4000.278
483
4000.358
4000.332
4000.212
4000.56
4000.285
484
4000.319
4000.069
4000.531
4000.298
4000.285
485
4000.437
4000.031
4000.841
4000.332
4000.286
486
4000.164
3999.602
4000.584
4000.186
4000.284
487
4000.313
3999.653
4000.582
4000.611
4000.292
488
4000.391
3999.974
4000.664
4000.455
4000.296
489
4000.287
3999.77
4000.501
4000.515
4000.301
490
4000.533
4000.219
4000.722
4000.601
4000.309
491
4000.638
4000.333
4000.641
4000.923
4000.324
492
4000.399
3999.968
4000.549
4000.626
4000.332
493
4000.317
3999.713
4000.478
4000.693
4000.341
494
4000.15
3999.605
4000.263
4000.528
4000.345
495
4000.393
3999.825
4000.626
4000.648
4000.353
496
4000.433
3999.769
4000.721
4000.713
4000.362
497
4000.557
4000.116
4000.953
4000.493
4000.365
498
4000.358
3999.978
4000.537
4000.502
4000.369
499
4000.421
3999.932
4000.546
4000.733
4000.378
500
4000.566
4000.092
4000.735
4000.812
4000.389
501
4000.366
3999.916
4000.395
4000.758
4000.398
502
4000.615
4000.192
4000.778
4000.819
4000.408
503
4000.44
3999.695
4000.582
4000.971
4000.422
504
4000.39
3999.746
4000.622
4000.718
4000.43
505
4000.471
4000.155
4000.463
4000.778
4000.439
506
4000.553
3999.816
4000.62
4001.167
4000.457
507
4000.546
3999.715
4000.753
4001.082
4000.472
508
4000.579
3999.825
4000.738
4001.098
4000.488
509
4000.729
4000.056
4000.952
4001.096
4000.503
510
4000.539
3999.781
4000.84
4000.891
4000.513
511
4000.665
4000.013
4000.809
4001.107
4000.528
512
4000.682
4000.105
4000.738
4001.158
4000.544
513
4000.614
3999.954
4000.902
4000.89
4000.552
514
4000.699
4000.077
4001.092
4000.812
4000.559
515
4000.76
4000.227
4000.967
4001.014
4000.57
516
4000.774
4000.275
4000.985
4000.989
4000.581
517
4000.591
4000.167
4000.76
4000.787
4000.586
518
4000.69
4000.239
4000.593
4001.231
4000.602
519
4000.613
3999.996
4000.716
4001.072
4000.614
520
4000.676
4000.185
4000.869
4000.908
4000.621
521
4000.685
4000.267
4000.866
4000.86
4000.627
522
4000.714
4000.098
4000.949
4001.012
4000.637
523
4000.595
3999.919
4000.879
4000.892
4000.643
524
4000.598
4000.198
4000.692
4000.863
4000.648
525
4000.375
3999.791
4000.415
4000.879
4000.654
526
4000.53
3999.825
4000.738
4000.946
4000.662
527
4000.568
4000.096
4000.616
4000.956
4000.669
528
4000.511
4000.052
4000.473
4000.992
4000.677
529
4000.622
4000.029
4000.582
4001.23
4000.691
530
4000.554
3999.807
4001.02
4000.698
4000.691
531
4000.481
3999.96
4000.738
4000.663
4000.69
532
4000.494
3999.713
4000.645
4001.049
4000.699
533
4000.506
3999.787
4000.622
4001.047
4000.708
534
4000.656
4000.005
4000.746
4001.162
4000.719
535
4000.742
4000.114
4001.086
4000.918
4000.724
536
4000.516
3999.684
4000.878
4000.865
4000.728
537
4000.636
3999.898
4000.741
4001.205
4000.74
538
4000.653
3999.838
4000.772
4001.278
4000.753
539
4000.668
3999.921
4000.737
4001.29
4000.767
540
4000.424
3999.695
4000.431
4001.106
4000.775
541
4000.453
3999.792
4000.279
4001.287
4000.788
542
4000.577
3999.961
4000.574
4001.163
4000.797
543
4000.479
3999.698
4000.472
4001.227
4000.808
544
4000.765
4000.2
4000.942
4001.085
4000.815
545
4000.804
4000.036
4001.094
4001.178
4000.824
546
4000.779
3999.649
4001.379
4001.122
4000.831
547
4000.781
3999.932
4001.293
4000.963
4000.835
548
4000.606
3999.783
4000.872
4001.064
4000.84
549
4000.683
3999.646
4001.047
4001.222
4000.85
550
4000.632
3999.682
4000.783
4001.349
4000.862
551
4000.713
3999.773
4001.078
4001.161
4000.87
552
4000.637
3999.531
4001.084
4001.142
4000.877
553
4000.639
3999.625
4001.04
4001.114
4000.883
554
4000.556
3999.636
4000.647
4001.315
4000.893
555
4000.586
3999.838
4000.47
4001.433
4000.907
556
4000.801
4000.019
4000.936
4001.376
4000.919
557
4000.643
3999.743
4000.953
4001.118
4000.924
558
4000.73
3999.742
4001.144
4001.163
4000.93
559
4000.769
3999.92
4001.175
4001.081
4000.933
560
4000.63
3999.598
4000.913
4001.263
4000.942
561
4000.569
3999.788
4000.675
4001.179
4000.948
562
4000.611
3999.94
4000.64
4001.209
4000.954
563
4000.476
3999.718
4000.694
4000.928
4000.953
564
4000.567
3999.756
4000.819
4001.028
4000.955
565
4000.709
3999.822
4000.988
4001.209
4000.962
566
4000.617
3999.761
4000.908
4001.073
4000.964
567
4000.654
3999.629
4000.787
4001.461
4000.977
568
4000.73
3999.784
4000.765
4001.583
4000.992
569
4000.781
3999.898
4000.847
4001.535
4001.006
570
4000.535
3999.621
4000.476
4001.468
4001.017
571
4000.51
3999.646
4000.399
4001.46
4001.028
572
4000.615
3999.63
4000.536
4001.64
4001.044
573
4000.714
3999.661
4000.872
4001.519
4001.055
574
4000.65
3999.515
4000.846
4001.485
4001.066
575
4000.5
3999.554
4000.676
4001.181
4001.069
576
4000.675
3999.65
4001.037
4001.205
4001.072
577
4000.628
3999.863
4000.906
4001.014
4001.071
578
4000.693
3999.817
4000.922
4001.244
4001.075
579
4000.897
3999.759
4001.119
4001.702
4001.091
580
4000.738
3999.479
4000.877
4001.76
4001.108
581
4000.654
3999.359
4000.964
4001.501
4001.118
582
4000.74
3999.574
4001.13
4001.369
4001.124
583
4000.617
3999.496
4001.085
4001.111
4001.123
584
4000.643
3999.735
4000.927
4001.159
4001.124
585
4000.733
3999.764
4000.933
4001.408
4001.131
586
4000.664
3999.65
4000.96
4001.265
4001.135
587
4000.522
3999.537
4000.677
4001.266
4001.138
588
4000.469
3999.719
4000.525
4001.11
4001.137
589
4000.624
3999.613
4000.924
4001.216
4001.139
590
4000.624
3999.543
4000.882
4001.335
4001.144
591
4000.581
3999.515
4000.618
4001.544
4001.154
592
4000.461
3999.651
4000.439
4001.252
4001.157
593
4000.384
3999.626
4000.389
4001.095
4001.155
594
4000.397
3999.422
4000.552
4001.13
4001.154
595
4000.6
3999.509
4000.892
4001.277
4001.158
596
4000.595
3999.57
4001.122
4000.927
4001.152
597
4000.506
3999.553
4000.808
4001.042
4001.149
598
4000.759
3999.429
4001.133
4001.563
4001.159
599
4000.704
3999.545
4001.08
4001.347
4001.164
600
4000.802
3999.569
4001.305
4001.36
4001.169
601
4000.686
3999.407
4001.085
4001.413
4001.175
602
4000.769
3999.55
4001.197
4001.404
4001.181
603
4000.622
3999.349
4001.122
4001.219
4001.182
604
4000.679
3999.494
4001.144
4001.236
4001.183
605
4000.527
3999.276
4000.992
4001.146
4001.182
606
4000.563
3999.524
4000.917
4001.118
4001.181
607
4000.761
3999.582
4001.039
4001.538
4001.19
608
4000.745
3999.796
4000.822
4001.549
4001.199
609
4000.779
3999.583
4001.08
4001.545
4001.207
610
4000.699
3999.541
4001.044
4001.374
4001.211
611
4000.774
3999.461
4001.23
4001.465
4001.218
612
4000.591
3999.284
4000.954
4001.387
4001.222
613
4000.454
3999.191
4000.639
4001.424
4001.227
614
4000.593
3999.371
4000.657
4001.672
4001.238
615
4000.615
3999.478
4000.672
4001.622
4001.248
616
4000.584
3999.372
4000.713
4001.573
4001.256
617
4000.596
3999.373
4000.925
4001.354
4001.258
618
4000.454
3999.313
4000.655
4001.29
4001.259
619
4000.625
3999.528
4000.876
4001.358
4001.262
620
4000.631
3999.342
4000.812
4001.631
4001.271
621
4000.624
3999.249
4000.708
4001.823
4001.285
622
4000.79
3999.573
4001.084
4001.586
4001.292
623
4000.774
3999.615
4001.141
4001.427
4001.295
624
4000.657
3999.471
4000.959
4001.413
4001.298
625
4000.687
3999.088
4001.088
4001.713
4001.309
626
4000.677
3999.462
4000.828
4001.642
4001.317
627
4000.324
3998.906
4000.544
4001.399
4001.319
628
4000.789
3999.471
4001.066
4001.699
4001.329
629
4000.549
3998.91
4000.75
4001.857
4001.342
630
4000.52
3998.797
4001.017
4001.546
4001.347
631
4000.537
3998.894
4000.946
4001.596
4001.353
632
4000.286
3998.733
4000.807
4001.126
4001.347
633
4000.451
3999.33
4000.691
4001.221
4001.344
634
4000.644
3999.191
4000.92
4001.682
4001.353
635
4000.567
3999.176
4000.884
4001.5
4001.356
636
4000.823
3999.377
4001.336
4001.57
4001.362
637
4000.731
3999.306
4001.314
4001.373
4001.362
638
4000.421
3999.248
4000.472
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641
4000.549
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642
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643
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644
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649
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651
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652
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4001
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654
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655
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658
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659
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660
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661
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662
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663
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665
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666
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667
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668
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669
4000.855
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670
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671
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673
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674
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675
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676
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677
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678
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679
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681
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682
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683
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684
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685
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686
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687
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688
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689
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690
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691
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692
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693
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694
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695
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697
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698
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699
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700
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701
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702
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703
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704
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705
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706
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707
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708
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709
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710
4000.799
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4000.989
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711
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712
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713
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714
4000.881
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715
4000.863
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4000.885
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4002.071
716
4000.973
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717
4000.855
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718
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719
4000.915
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720
4000.841
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721
4000.872
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4000.7
4002.979
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722
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4000.951
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723
4000.948
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724
4000.88
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725
4000.763
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4002.428
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726
4000.69
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4000.89
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727
4000.636
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4000.747
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728
4000.847
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729
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730
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731
4000.794
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4002.237
732
4000.843
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4000.944
4002.473
4002.243
733
4000.853
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4001.001
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4002.251
734
4000.693
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4000.484
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735
4000.834
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736
4000.972
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737
4000.812
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738
4000.828
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4002.308
739
4000.738
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4000.619
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740
4000.872
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4000.991
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741
4000.84
3998.81
4000.885
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742
4000.885
3998.833
4001.084
4002.582
4002.344
743
4000.788
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4001.144
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4002.348
744
4000.857
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745
4000.857
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746
4000.998
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747
4001.027
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748
4000.91
3998.997
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4002.443
4002.384
749
4000.758
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4000.649
4002.438
4002.385
750
4000.782
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4000.88
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4002.388
751
4000.946
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752
4000.901
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753
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754
4000.838
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755
4000.996
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756
4000.994
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757
4000.735
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4000.682
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758
4000.726
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4000.753
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759
4000.985
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4001.038
4002.768
4002.443
760
4001.024
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4002.916
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761
4001.041
3999.2
4001.026
4002.8
4002.463
762
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763
4001.063
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4001.099
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764
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4001.517
4002.684
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765
4001.028
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766
4001.033
3999.137
4001.006
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767
4001.002
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768
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769
4000.887
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770
4000.751
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771
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772
4000.802
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773
4000.933
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774
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775
4000.961
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4001.063
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776
4001.028
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777
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4001.047
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778
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779
4000.891
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780
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4002.521
781
4000.961
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4001.15
4002.469
4002.52
782
4000.951
3998.952
4001.153
4002.594
4002.522
783
4000.909
3999.046
4000.989
4002.573
4002.523
784
4000.882
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4001.142
4002.715
4002.528
785
4000.842
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4002.764
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786
4000.708
3998.968
4000.637
4002.439
4002.531
787
4000.763
3998.959
4000.789
4002.435
4002.529
788
4000.5
3998.649
4000.383
4002.39
4002.525
789
4000.54
3998.745
4000.585
4002.181
4002.517
790
4000.542
3998.505
4000.745
4002.221
4002.509
791
4000.646
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4000.857
4002.274
4002.504
792
4000.368
3998.509
4000.58
4001.869
4002.488
793
4000.705
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4000.718
4002.25
4002.482
794
4000.471
3998.669
4000.414
4002.241
4002.476
795
4000.496
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4002.045
4002.465
796
4000.453
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4000.433
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4002.449
797
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4000.551
4002.036
4002.438
798
4000.578
3998.936
4000.669
4002.02
4002.428
799
4000.299
3998.247
4000.399
4002.116
4002.42
800
4000.293
3998.363
4000.367
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801
4000.322
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802
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803
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804
4000.384
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4000.59
4002.046
4002.373
805
4000.416
3998.656
4000.466
4002.02
4002.364
806
4000.333
3998.397
4000.35
4002.142
4002.358
807
4000.273
3998.335
4000.307
4002.063
4002.351
808
4000.407
3998.27
4000.467
4002.355
4002.351
809
4000.347
3998.329
4000.417
4002.169
4002.346
810
4000.301
3998.182
4000.421
4002.159
4002.342
811
4000.301
3998.216
4000.459
4002.078
4002.335
812
4000.194
3998.192
4000.237
4002.033
4002.328
813
4000.243
3998.394
4000.22
4002.019
4002.32
814
4000.311
3998.418
4000.423
4001.965
4002.311
815
4000.489
3998.416
4000.568
4002.352
4002.312
816
4000.56
3998.763
4000.73
4002.053
4002.305
817
4000.777
3999.345
4000.771
4002.136
4002.301
818
4000.722
3999.224
4000.576
4002.316
4002.302
819
4000.792
3999.18
4001.031
4002.026
4002.295
820
4000.678
3998.515
4000.972
4002.365
4002.296
821
4000.518
3998.307
4000.918
4002.123
4002.292
822
4000.536
3998.424
4000.85
4002.151
4002.289
823
4000.593
3998.679
4000.85
4002.09
4002.284
824
4000.535
3998.613
4001.122
4001.641
4002.268
825
4000.393
3998.583
4000.716
4001.713
4002.254
826
4000.488
3998.599
4000.715
4001.999
4002.247
827
4000.57
3998.901
4000.847
4001.811
4002.236
828
4000.632
3999.227
4000.826
4001.725
4002.224
829
4000.686
3999.269
4000.89
4001.78
4002.213
830
4000.711
3999.469
4000.928
4001.621
4002.198
831
4000.638
3998.858
4001.021
4001.856
4002.189
832
4000.799
3998.888
4001.167
4002.159
4002.188
833
4000.729
3998.776
4001.139
4002.08
4002.186
834
4000.623
3998.813
4000.886
4002.017
4002.182
835
4000.691
3998.745
4001.023
4002.127
4002.18
836
4000.59
3998.78
4000.889
4001.939
4002.174
837
4000.738
3998.829
4001.187
4002
4002.17
838
4000.632
3998.816
4001.085
4001.8
4002.161
839
4000.614
3999.003
4000.898
4001.794
4002.151
840
4000.6
3998.975
4000.942
4001.721
4002.141
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