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 | 4001.467 | 4001.365 |
| 639 | 4000.558 | 3999.179 | 4000.815 | 4001.55 | 4001.369 |
| 640 | 4000.535 | 3999.236 | 4000.961 | 4001.248 | 4001.366 |
| 641 | 4000.549 | 3999.205 | 4000.803 | 4001.513 | 4001.37 |
| 642 | 4000.649 | 3999.271 | 4000.826 | 4001.736 | 4001.379 |
| 643 | 4000.626 | 3999.271 | 4000.867 | 4001.617 | 4001.385 |
| 644 | 4000.715 | 3999.435 | 4001.235 | 4001.295 | 4001.383 |
| 645 | 4000.837 | 3999.276 | 4001.252 | 4001.81 | 4001.394 |
| 646 | 4000.697 | 3999.053 | 4001.09 | 4001.775 | 4001.403 |
| 647 | 4000.697 | 3999.135 | 4001.02 | 4001.782 | 4001.413 |
| 648 | 4000.875 | 3999.396 | 4001.174 | 4001.912 | 4001.425 |
| 649 | 4000.807 | 3999.218 | 4001.329 | 4001.676 | 4001.431 |
| 650 | 4000.715 | 3999.193 | 4001.021 | 4001.783 | 4001.44 |
| 651 | 4000.789 | 3999.248 | 4001.143 | 4001.819 | 4001.45 |
| 652 | 4000.818 | 3999.508 | 4001.028 | 4001.801 | 4001.458 |
| 653 | 4000.752 | 3999.34 | 4001 | 4001.787 | 4001.467 |
| 654 | 4000.576 | 3998.997 | 4000.969 | 4001.593 | 4001.47 |
| 655 | 4000.795 | 3999.364 | 4001.389 | 4001.428 | 4001.469 |
| 656 | 4000.853 | 3999.295 | 4001.349 | 4001.727 | 4001.475 |
| 657 | 4000.738 | 3999.138 | 4001.079 | 4001.837 | 4001.484 |
| 658 | 4000.718 | 3999.324 | 4001.142 | 4001.523 | 4001.485 |
| 659 | 4000.62 | 3998.98 | 4001.152 | 4001.525 | 4001.486 |
| 660 | 4000.892 | 3999.274 | 4001.466 | 4001.727 | 4001.492 |
| 661 | 4000.822 | 3999.23 | 4001.296 | 4001.752 | 4001.499 |
| 662 | 4000.847 | 3999.024 | 4001.495 | 4001.786 | 4001.506 |
| 663 | 4000.841 | 3999.049 | 4001.396 | 4001.862 | 4001.515 |
| 664 | 4000.547 | 3998.819 | 4001.065 | 4001.553 | 4001.516 |
| 665 | 4000.795 | 3999.206 | 4001.119 | 4001.906 | 4001.525 |
| 666 | 4000.876 | 3999.272 | 4001.229 | 4001.964 | 4001.536 |
| 667 | 4000.931 | 3999.2 | 4001.354 | 4002.054 | 4001.549 |
| 668 | 4000.81 | 3998.945 | 4001.451 | 4001.797 | 4001.556 |
| 669 | 4000.855 | 3999.061 | 4001.391 | 4001.902 | 4001.564 |
| 670 | 4000.759 | 3999.232 | 4001.316 | 4001.529 | 4001.563 |
| 671 | 4000.768 | 3999.222 | 4001.158 | 4001.756 | 4001.568 |
| 672 | 4000.895 | 3999.488 | 4001.151 | 4001.916 | 4001.577 |
| 673 | 4000.826 | 3999.363 | 4000.894 | 4002.128 | 4001.591 |
| 674 | 4000.668 | 3999.013 | 4000.767 | 4002.112 | 4001.604 |
| 675 | 4000.803 | 3999.19 | 4000.902 | 4002.207 | 4001.619 |
| 676 | 4000.694 | 3999.15 | 4000.898 | 4001.907 | 4001.626 |
| 677 | 4000.737 | 3999.122 | 4001.03 | 4001.908 | 4001.633 |
| 678 | 4000.771 | 3999.011 | 4001.164 | 4001.96 | 4001.641 |
| 679 | 4000.921 | 3998.743 | 4001.602 | 4002.154 | 4001.654 |
| 680 | 4001.024 | 3999.209 | 4001.469 | 4002.2 | 4001.668 |
| 681 | 4000.913 | 3999.139 | 4001.255 | 4002.174 | 4001.68 |
| 682 | 4000.611 | 3998.856 | 4000.753 | 4002.099 | 4001.691 |
| 683 | 4000.732 | 3999.252 | 4000.808 | 4002.037 | 4001.699 |
| 684 | 4000.719 | 3998.921 | 4001.029 | 4002.045 | 4001.708 |
| 685 | 4000.81 | 3999.162 | 4001.146 | 4001.961 | 4001.714 |
| 686 | 4000.701 | 3999.169 | 4000.881 | 4001.931 | 4001.72 |
| 687 | 4000.827 | 3998.934 | 4001.088 | 4002.3 | 4001.734 |
| 688 | 4000.773 | 3998.882 | 4001.032 | 4002.248 | 4001.747 |
| 689 | 4000.844 | 3999.132 | 4001.067 | 4002.191 | 4001.758 |
| 690 | 4000.68 | 3999.085 | 4000.586 | 4002.301 | 4001.772 |
| 691 | 4000.538 | 3998.819 | 4000.529 | 4002.175 | 4001.782 |
| 692 | 4000.758 | 3998.973 | 4000.868 | 4002.311 | 4001.795 |
| 693 | 4000.825 | 3999.092 | 4000.701 | 4002.613 | 4001.816 |
| 694 | 4000.849 | 3999.161 | 4000.866 | 4002.422 | 4001.831 |
| 695 | 4000.673 | 3999.077 | 4000.694 | 4002.155 | 4001.839 |
| 696 | 4000.629 | 3998.922 | 4000.612 | 4002.262 | 4001.849 |
| 697 | 4000.706 | 3999.1 | 4000.582 | 4002.373 | 4001.863 |
| 698 | 4000.507 | 3999.013 | 4000.23 | 4002.254 | 4001.872 |
| 699 | 4000.627 | 3999.309 | 4000.345 | 4002.214 | 4001.881 |
| 700 | 4000.468 | 3998.912 | 4000.352 | 4002.078 | 4001.886 |
| 701 | 4000.728 | 3999.153 | 4000.626 | 4002.341 | 4001.897 |
| 702 | 4000.758 | 3999.074 | 4000.888 | 4002.191 | 4001.904 |
| 703 | 4000.976 | 3999.005 | 4001.459 | 4002.255 | 4001.913 |
| 704 | 4001.059 | 3999.099 | 4001.412 | 4002.486 | 4001.928 |
| 705 | 4000.919 | 3998.983 | 4001.133 | 4002.49 | 4001.942 |
| 706 | 4000.83 | 3998.72 | 4001.082 | 4002.518 | 4001.956 |
| 707 | 4000.952 | 3999.092 | 4001.099 | 4002.533 | 4001.97 |
| 708 | 4000.948 | 3999.078 | 4001.005 | 4002.646 | 4001.987 |
| 709 | 4000.856 | 3998.842 | 4001.015 | 4002.565 | 4002.002 |
| 710 | 4000.799 | 3998.815 | 4000.989 | 4002.443 | 4002.013 |
| 711 | 4000.892 | 3999.118 | 4001.016 | 4002.418 | 4002.023 |
| 712 | 4000.86 | 3999.052 | 4000.887 | 4002.537 | 4002.036 |
| 713 | 4000.973 | 3999.086 | 4000.946 | 4002.787 | 4002.055 |
| 714 | 4000.881 | 3999.126 | 4001.069 | 4002.311 | 4002.061 |
| 715 | 4000.863 | 3999.126 | 4000.885 | 4002.478 | 4002.071 |
| 716 | 4000.973 | 3999.037 | 4001.074 | 4002.681 | 4002.087 |
| 717 | 4000.855 | 3998.768 | 4001.096 | 4002.536 | 4002.098 |
| 718 | 4000.897 | 3998.758 | 4001.139 | 4002.625 | 4002.111 |
| 719 | 4000.915 | 3998.777 | 4001.054 | 4002.767 | 4002.127 |
| 720 | 4000.841 | 3998.365 | 4001.011 | 4002.973 | 4002.149 |
| 721 | 4000.872 | 3998.861 | 4000.7 | 4002.979 | 4002.169 |
| 722 | 4000.907 | 3998.639 | 4000.951 | 4002.996 | 4002.19 |
| 723 | 4000.948 | 3998.928 | 4001.161 | 4002.599 | 4002.2 |
| 724 | 4000.88 | 3998.674 | 4001.251 | 4002.516 | 4002.208 |
| 725 | 4000.763 | 3998.565 | 4001.104 | 4002.428 | 4002.214 |
| 726 | 4000.69 | 3998.713 | 4000.89 | 4002.316 | 4002.216 |
| 727 | 4000.636 | 3998.635 | 4000.747 | 4002.393 | 4002.221 |
| 728 | 4000.847 | 3998.855 | 4001.074 | 4002.454 | 4002.226 |
| 729 | 4000.837 | 3999.053 | 4000.883 | 4002.467 | 4002.232 |
| 730 | 4000.776 | 3998.89 | 4000.953 | 4002.342 | 4002.235 |
| 731 | 4000.794 | 3998.845 | 4001.071 | 4002.3 | 4002.237 |
| 732 | 4000.843 | 3998.989 | 4000.944 | 4002.473 | 4002.243 |
| 733 | 4000.853 | 3998.824 | 4001.001 | 4002.593 | 4002.251 |
| 734 | 4000.693 | 3998.835 | 4000.484 | 4002.702 | 4002.263 |
| 735 | 4000.834 | 3999.019 | 4000.699 | 4002.714 | 4002.274 |
| 736 | 4000.972 | 3998.883 | 4001.081 | 4002.814 | 4002.288 |
| 737 | 4000.812 | 3998.618 | 4000.983 | 4002.677 | 4002.297 |
| 738 | 4000.828 | 3998.778 | 4000.851 | 4002.738 | 4002.308 |
| 739 | 4000.738 | 3998.708 | 4000.619 | 4002.801 | 4002.321 |
| 740 | 4000.872 | 3998.827 | 4000.991 | 4002.658 | 4002.329 |
| 741 | 4000.84 | 3998.81 | 4000.885 | 4002.703 | 4002.338 |
| 742 | 4000.885 | 3998.833 | 4001.084 | 4002.582 | 4002.344 |
| 743 | 4000.788 | 3998.517 | 4001.144 | 4002.505 | 4002.348 |
| 744 | 4000.857 | 3998.68 | 4001.017 | 4002.722 | 4002.358 |
| 745 | 4000.857 | 3998.646 | 4001.105 | 4002.648 | 4002.365 |
| 746 | 4000.998 | 3998.808 | 4001.244 | 4002.768 | 4002.375 |
| 747 | 4001.027 | 3998.939 | 4001.313 | 4002.655 | 4002.382 |
| 748 | 4000.91 | 3998.997 | 4001.136 | 4002.443 | 4002.384 |
| 749 | 4000.758 | 3999.118 | 4000.649 | 4002.438 | 4002.385 |
| 750 | 4000.782 | 3998.855 | 4000.88 | 4002.485 | 4002.388 |
| 751 | 4000.946 | 3999.279 | 4000.794 | 4002.704 | 4002.395 |
| 752 | 4000.901 | 3998.761 | 4001.102 | 4002.68 | 4002.403 |
| 753 | 4000.866 | 3998.766 | 4001.137 | 4002.523 | 4002.406 |
| 754 | 4000.838 | 3998.856 | 4001.128 | 4002.362 | 4002.404 |
| 755 | 4000.996 | 3998.943 | 4001.159 | 4002.739 | 4002.413 |
| 756 | 4000.994 | 3998.748 | 4001.259 | 4002.796 | 4002.422 |
| 757 | 4000.735 | 3998.716 | 4000.682 | 4002.708 | 4002.43 |
| 758 | 4000.726 | 3998.69 | 4000.753 | 4002.619 | 4002.434 |
| 759 | 4000.985 | 3999.031 | 4001.038 | 4002.768 | 4002.443 |
| 760 | 4001.024 | 3998.847 | 4001.161 | 4002.916 | 4002.454 |
| 761 | 4001.041 | 3999.2 | 4001.026 | 4002.8 | 4002.463 |
| 762 | 4001.188 | 3999.226 | 4001.262 | 4002.951 | 4002.475 |
| 763 | 4001.063 | 3998.966 | 4001.099 | 4003.001 | 4002.488 |
| 764 | 4001.136 | 3999.009 | 4001.517 | 4002.684 | 4002.493 |
| 765 | 4001.028 | 3998.778 | 4001.451 | 4002.643 | 4002.497 |
| 766 | 4001.033 | 3999.137 | 4001.006 | 4002.857 | 4002.506 |
| 767 | 4001.002 | 3999.056 | 4001.012 | 4002.828 | 4002.514 |
| 768 | 4000.862 | 3998.918 | 4001.038 | 4002.486 | 4002.513 |
| 769 | 4000.887 | 3999.028 | 4000.923 | 4002.599 | 4002.516 |
| 770 | 4000.751 | 3998.793 | 4000.895 | 4002.428 | 4002.513 |
| 771 | 4000.923 | 3998.996 | 4001.15 | 4002.471 | 4002.512 |
| 772 | 4000.802 | 3998.763 | 4001.03 | 4002.453 | 4002.511 |
| 773 | 4000.933 | 3999.009 | 4001.25 | 4002.37 | 4002.507 |
| 774 | 4000.977 | 3999.068 | 4001.205 | 4002.507 | 4002.507 |
| 775 | 4000.961 | 3999.041 | 4001.063 | 4002.65 | 4002.511 |
| 776 | 4001.028 | 3999.117 | 4001.215 | 4002.607 | 4002.513 |
| 777 | 4000.996 | 3999.199 | 4001.047 | 4002.631 | 4002.516 |
| 778 | 4000.772 | 3999.081 | 4000.867 | 4002.255 | 4002.51 |
| 779 | 4000.891 | 3998.808 | 4001.017 | 4002.706 | 4002.515 |
| 780 | 4001.018 | 3998.956 | 4001.174 | 4002.777 | 4002.521 |
| 781 | 4000.961 | 3999.122 | 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 | 3998.611 | 4001.142 | 4002.715 | 4002.528 |
| 785 | 4000.842 | 3998.969 | 4000.715 | 4002.764 | 4002.534 |
| 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 | 3998.653 | 4000.857 | 4002.274 | 4002.504 |
| 792 | 4000.368 | 3998.509 | 4000.58 | 4001.869 | 4002.488 |
| 793 | 4000.705 | 3999.054 | 4000.718 | 4002.25 | 4002.482 |
| 794 | 4000.471 | 3998.669 | 4000.414 | 4002.241 | 4002.476 |
| 795 | 4000.496 | 3999.032 | 4000.36 | 4002.045 | 4002.465 |
| 796 | 4000.453 | 3999.044 | 4000.433 | 4001.81 | 4002.449 |
| 797 | 4000.612 | 3999.184 | 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 | 4002.027 | 4002.41 |
| 801 | 4000.322 | 3998.371 | 4000.332 | 4002.153 | 4002.404 |
| 802 | 4000.415 | 3998.576 | 4000.683 | 4001.827 | 4002.389 |
| 803 | 4000.446 | 3998.379 | 4000.732 | 4002.052 | 4002.381 |
| 804 | 4000.384 | 3998.359 | 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 |
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 | 4001.467 | 4001.365 |
| 639 | 4000.558 | 3999.179 | 4000.815 | 4001.55 | 4001.369 |
| 640 | 4000.535 | 3999.236 | 4000.961 | 4001.248 | 4001.366 |
| 641 | 4000.549 | 3999.205 | 4000.803 | 4001.513 | 4001.37 |
| 642 | 4000.649 | 3999.271 | 4000.826 | 4001.736 | 4001.379 |
| 643 | 4000.626 | 3999.271 | 4000.867 | 4001.617 | 4001.385 |
| 644 | 4000.715 | 3999.435 | 4001.235 | 4001.295 | 4001.383 |
| 645 | 4000.837 | 3999.276 | 4001.252 | 4001.81 | 4001.394 |
| 646 | 4000.697 | 3999.053 | 4001.09 | 4001.775 | 4001.403 |
| 647 | 4000.697 | 3999.135 | 4001.02 | 4001.782 | 4001.413 |
| 648 | 4000.875 | 3999.396 | 4001.174 | 4001.912 | 4001.425 |
| 649 | 4000.807 | 3999.218 | 4001.329 | 4001.676 | 4001.431 |
| 650 | 4000.715 | 3999.193 | 4001.021 | 4001.783 | 4001.44 |
| 651 | 4000.789 | 3999.248 | 4001.143 | 4001.819 | 4001.45 |
| 652 | 4000.818 | 3999.508 | 4001.028 | 4001.801 | 4001.458 |
| 653 | 4000.752 | 3999.34 | 4001 | 4001.787 | 4001.467 |
| 654 | 4000.576 | 3998.997 | 4000.969 | 4001.593 | 4001.47 |
| 655 | 4000.795 | 3999.364 | 4001.389 | 4001.428 | 4001.469 |
| 656 | 4000.853 | 3999.295 | 4001.349 | 4001.727 | 4001.475 |
| 657 | 4000.738 | 3999.138 | 4001.079 | 4001.837 | 4001.484 |
| 658 | 4000.718 | 3999.324 | 4001.142 | 4001.523 | 4001.485 |
| 659 | 4000.62 | 3998.98 | 4001.152 | 4001.525 | 4001.486 |
| 660 | 4000.892 | 3999.274 | 4001.466 | 4001.727 | 4001.492 |
| 661 | 4000.822 | 3999.23 | 4001.296 | 4001.752 | 4001.499 |
| 662 | 4000.847 | 3999.024 | 4001.495 | 4001.786 | 4001.506 |
| 663 | 4000.841 | 3999.049 | 4001.396 | 4001.862 | 4001.515 |
| 664 | 4000.547 | 3998.819 | 4001.065 | 4001.553 | 4001.516 |
| 665 | 4000.795 | 3999.206 | 4001.119 | 4001.906 | 4001.525 |
| 666 | 4000.876 | 3999.272 | 4001.229 | 4001.964 | 4001.536 |
| 667 | 4000.931 | 3999.2 | 4001.354 | 4002.054 | 4001.549 |
| 668 | 4000.81 | 3998.945 | 4001.451 | 4001.797 | 4001.556 |
| 669 | 4000.855 | 3999.061 | 4001.391 | 4001.902 | 4001.564 |
| 670 | 4000.759 | 3999.232 | 4001.316 | 4001.529 | 4001.563 |
| 671 | 4000.768 | 3999.222 | 4001.158 | 4001.756 | 4001.568 |
| 672 | 4000.895 | 3999.488 | 4001.151 | 4001.916 | 4001.577 |
| 673 | 4000.826 | 3999.363 | 4000.894 | 4002.128 | 4001.591 |
| 674 | 4000.668 | 3999.013 | 4000.767 | 4002.112 | 4001.604 |
| 675 | 4000.803 | 3999.19 | 4000.902 | 4002.207 | 4001.619 |
| 676 | 4000.694 | 3999.15 | 4000.898 | 4001.907 | 4001.626 |
| 677 | 4000.737 | 3999.122 | 4001.03 | 4001.908 | 4001.633 |
| 678 | 4000.771 | 3999.011 | 4001.164 | 4001.96 | 4001.641 |
| 679 | 4000.921 | 3998.743 | 4001.602 | 4002.154 | 4001.654 |
| 680 | 4001.024 | 3999.209 | 4001.469 | 4002.2 | 4001.668 |
| 681 | 4000.913 | 3999.139 | 4001.255 | 4002.174 | 4001.68 |
| 682 | 4000.611 | 3998.856 | 4000.753 | 4002.099 | 4001.691 |
| 683 | 4000.732 | 3999.252 | 4000.808 | 4002.037 | 4001.699 |
| 684 | 4000.719 | 3998.921 | 4001.029 | 4002.045 | 4001.708 |
| 685 | 4000.81 | 3999.162 | 4001.146 | 4001.961 | 4001.714 |
| 686 | 4000.701 | 3999.169 | 4000.881 | 4001.931 | 4001.72 |
| 687 | 4000.827 | 3998.934 | 4001.088 | 4002.3 | 4001.734 |
| 688 | 4000.773 | 3998.882 | 4001.032 | 4002.248 | 4001.747 |
| 689 | 4000.844 | 3999.132 | 4001.067 | 4002.191 | 4001.758 |
| 690 | 4000.68 | 3999.085 | 4000.586 | 4002.301 | 4001.772 |
| 691 | 4000.538 | 3998.819 | 4000.529 | 4002.175 | 4001.782 |
| 692 | 4000.758 | 3998.973 | 4000.868 | 4002.311 | 4001.795 |
| 693 | 4000.825 | 3999.092 | 4000.701 | 4002.613 | 4001.816 |
| 694 | 4000.849 | 3999.161 | 4000.866 | 4002.422 | 4001.831 |
| 695 | 4000.673 | 3999.077 | 4000.694 | 4002.155 | 4001.839 |
| 696 | 4000.629 | 3998.922 | 4000.612 | 4002.262 | 4001.849 |
| 697 | 4000.706 | 3999.1 | 4000.582 | 4002.373 | 4001.863 |
| 698 | 4000.507 | 3999.013 | 4000.23 | 4002.254 | 4001.872 |
| 699 | 4000.627 | 3999.309 | 4000.345 | 4002.214 | 4001.881 |
| 700 | 4000.468 | 3998.912 | 4000.352 | 4002.078 | 4001.886 |
| 701 | 4000.728 | 3999.153 | 4000.626 | 4002.341 | 4001.897 |
| 702 | 4000.758 | 3999.074 | 4000.888 | 4002.191 | 4001.904 |
| 703 | 4000.976 | 3999.005 | 4001.459 | 4002.255 | 4001.913 |
| 704 | 4001.059 | 3999.099 | 4001.412 | 4002.486 | 4001.928 |
| 705 | 4000.919 | 3998.983 | 4001.133 | 4002.49 | 4001.942 |
| 706 | 4000.83 | 3998.72 | 4001.082 | 4002.518 | 4001.956 |
| 707 | 4000.952 | 3999.092 | 4001.099 | 4002.533 | 4001.97 |
| 708 | 4000.948 | 3999.078 | 4001.005 | 4002.646 | 4001.987 |
| 709 | 4000.856 | 3998.842 | 4001.015 | 4002.565 | 4002.002 |
| 710 | 4000.799 | 3998.815 | 4000.989 | 4002.443 | 4002.013 |
| 711 | 4000.892 | 3999.118 | 4001.016 | 4002.418 | 4002.023 |
| 712 | 4000.86 | 3999.052 | 4000.887 | 4002.537 | 4002.036 |
| 713 | 4000.973 | 3999.086 | 4000.946 | 4002.787 | 4002.055 |
| 714 | 4000.881 | 3999.126 | 4001.069 | 4002.311 | 4002.061 |
| 715 | 4000.863 | 3999.126 | 4000.885 | 4002.478 | 4002.071 |
| 716 | 4000.973 | 3999.037 | 4001.074 | 4002.681 | 4002.087 |
| 717 | 4000.855 | 3998.768 | 4001.096 | 4002.536 | 4002.098 |
| 718 | 4000.897 | 3998.758 | 4001.139 | 4002.625 | 4002.111 |
| 719 | 4000.915 | 3998.777 | 4001.054 | 4002.767 | 4002.127 |
| 720 | 4000.841 | 3998.365 | 4001.011 | 4002.973 | 4002.149 |
| 721 | 4000.872 | 3998.861 | 4000.7 | 4002.979 | 4002.169 |
| 722 | 4000.907 | 3998.639 | 4000.951 | 4002.996 | 4002.19 |
| 723 | 4000.948 | 3998.928 | 4001.161 | 4002.599 | 4002.2 |
| 724 | 4000.88 | 3998.674 | 4001.251 | 4002.516 | 4002.208 |
| 725 | 4000.763 | 3998.565 | 4001.104 | 4002.428 | 4002.214 |
| 726 | 4000.69 | 3998.713 | 4000.89 | 4002.316 | 4002.216 |
| 727 | 4000.636 | 3998.635 | 4000.747 | 4002.393 | 4002.221 |
| 728 | 4000.847 | 3998.855 | 4001.074 | 4002.454 | 4002.226 |
| 729 | 4000.837 | 3999.053 | 4000.883 | 4002.467 | 4002.232 |
| 730 | 4000.776 | 3998.89 | 4000.953 | 4002.342 | 4002.235 |
| 731 | 4000.794 | 3998.845 | 4001.071 | 4002.3 | 4002.237 |
| 732 | 4000.843 | 3998.989 | 4000.944 | 4002.473 | 4002.243 |
| 733 | 4000.853 | 3998.824 | 4001.001 | 4002.593 | 4002.251 |
| 734 | 4000.693 | 3998.835 | 4000.484 | 4002.702 | 4002.263 |
| 735 | 4000.834 | 3999.019 | 4000.699 | 4002.714 | 4002.274 |
| 736 | 4000.972 | 3998.883 | 4001.081 | 4002.814 | 4002.288 |
| 737 | 4000.812 | 3998.618 | 4000.983 | 4002.677 | 4002.297 |
| 738 | 4000.828 | 3998.778 | 4000.851 | 4002.738 | 4002.308 |
| 739 | 4000.738 | 3998.708 | 4000.619 | 4002.801 | 4002.321 |
| 740 | 4000.872 | 3998.827 | 4000.991 | 4002.658 | 4002.329 |
| 741 | 4000.84 | 3998.81 | 4000.885 | 4002.703 | 4002.338 |
| 742 | 4000.885 | 3998.833 | 4001.084 | 4002.582 | 4002.344 |
| 743 | 4000.788 | 3998.517 | 4001.144 | 4002.505 | 4002.348 |
| 744 | 4000.857 | 3998.68 | 4001.017 | 4002.722 | 4002.358 |
| 745 | 4000.857 | 3998.646 | 4001.105 | 4002.648 | 4002.365 |
| 746 | 4000.998 | 3998.808 | 4001.244 | 4002.768 | 4002.375 |
| 747 | 4001.027 | 3998.939 | 4001.313 | 4002.655 | 4002.382 |
| 748 | 4000.91 | 3998.997 | 4001.136 | 4002.443 | 4002.384 |
| 749 | 4000.758 | 3999.118 | 4000.649 | 4002.438 | 4002.385 |
| 750 | 4000.782 | 3998.855 | 4000.88 | 4002.485 | 4002.388 |
| 751 | 4000.946 | 3999.279 | 4000.794 | 4002.704 | 4002.395 |
| 752 | 4000.901 | 3998.761 | 4001.102 | 4002.68 | 4002.403 |
| 753 | 4000.866 | 3998.766 | 4001.137 | 4002.523 | 4002.406 |
| 754 | 4000.838 | 3998.856 | 4001.128 | 4002.362 | 4002.404 |
| 755 | 4000.996 | 3998.943 | 4001.159 | 4002.739 | 4002.413 |
| 756 | 4000.994 | 3998.748 | 4001.259 | 4002.796 | 4002.422 |
| 757 | 4000.735 | 3998.716 | 4000.682 | 4002.708 | 4002.43 |
| 758 | 4000.726 | 3998.69 | 4000.753 | 4002.619 | 4002.434 |
| 759 | 4000.985 | 3999.031 | 4001.038 | 4002.768 | 4002.443 |
| 760 | 4001.024 | 3998.847 | 4001.161 | 4002.916 | 4002.454 |
| 761 | 4001.041 | 3999.2 | 4001.026 | 4002.8 | 4002.463 |
| 762 | 4001.188 | 3999.226 | 4001.262 | 4002.951 | 4002.475 |
| 763 | 4001.063 | 3998.966 | 4001.099 | 4003.001 | 4002.488 |
| 764 | 4001.136 | 3999.009 | 4001.517 | 4002.684 | 4002.493 |
| 765 | 4001.028 | 3998.778 | 4001.451 | 4002.643 | 4002.497 |
| 766 | 4001.033 | 3999.137 | 4001.006 | 4002.857 | 4002.506 |
| 767 | 4001.002 | 3999.056 | 4001.012 | 4002.828 | 4002.514 |
| 768 | 4000.862 | 3998.918 | 4001.038 | 4002.486 | 4002.513 |
| 769 | 4000.887 | 3999.028 | 4000.923 | 4002.599 | 4002.516 |
| 770 | 4000.751 | 3998.793 | 4000.895 | 4002.428 | 4002.513 |
| 771 | 4000.923 | 3998.996 | 4001.15 | 4002.471 | 4002.512 |
| 772 | 4000.802 | 3998.763 | 4001.03 | 4002.453 | 4002.511 |
| 773 | 4000.933 | 3999.009 | 4001.25 | 4002.37 | 4002.507 |
| 774 | 4000.977 | 3999.068 | 4001.205 | 4002.507 | 4002.507 |
| 775 | 4000.961 | 3999.041 | 4001.063 | 4002.65 | 4002.511 |
| 776 | 4001.028 | 3999.117 | 4001.215 | 4002.607 | 4002.513 |
| 777 | 4000.996 | 3999.199 | 4001.047 | 4002.631 | 4002.516 |
| 778 | 4000.772 | 3999.081 | 4000.867 | 4002.255 | 4002.51 |
| 779 | 4000.891 | 3998.808 | 4001.017 | 4002.706 | 4002.515 |
| 780 | 4001.018 | 3998.956 | 4001.174 | 4002.777 | 4002.521 |
| 781 | 4000.961 | 3999.122 | 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 | 3998.611 | 4001.142 | 4002.715 | 4002.528 |
| 785 | 4000.842 | 3998.969 | 4000.715 | 4002.764 | 4002.534 |
| 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 | 3998.653 | 4000.857 | 4002.274 | 4002.504 |
| 792 | 4000.368 | 3998.509 | 4000.58 | 4001.869 | 4002.488 |
| 793 | 4000.705 | 3999.054 | 4000.718 | 4002.25 | 4002.482 |
| 794 | 4000.471 | 3998.669 | 4000.414 | 4002.241 | 4002.476 |
| 795 | 4000.496 | 3999.032 | 4000.36 | 4002.045 | 4002.465 |
| 796 | 4000.453 | 3999.044 | 4000.433 | 4001.81 | 4002.449 |
| 797 | 4000.612 | 3999.184 | 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 | 4002.027 | 4002.41 |
| 801 | 4000.322 | 3998.371 | 4000.332 | 4002.153 | 4002.404 |
| 802 | 4000.415 | 3998.576 | 4000.683 | 4001.827 | 4002.389 |
| 803 | 4000.446 | 3998.379 | 4000.732 | 4002.052 | 4002.381 |
| 804 | 4000.384 | 3998.359 | 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 |
Post the code you ran.
Do not double-post.
Thanks, I read and run the code there, https://blogs.sas.com/content/iml/2019/09/16/hull-moving-average-sas.html
But as the pic there show, SMA(green) is ahead of HULL(Orange).
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