# Torneträsk 1500 Year Tree Ring MXD and TRW Temperature Reconstructions #----------------------------------------------------------------------- # World Data Center for Paleoclimatology, Boulder # and # NOAA Paleoclimatology Program #----------------------------------------------------------------------- # NOTE: Please cite Publication, and Online_Resource and date accessed when using these data. # If there is no publication information, please cite Investigators, Title, and Online_Resource and date accessed. # # # Online_Resource: http://ncdc.noaa.gov/paleo/study/17175 # # Original_Source_URL: ftp://ftp.ncdc.noaa.gov/pub/data/paleo/treering/reconstructions/europe/sweden/tornetrask2013temp-mxd.txt # # Description/Documentation lines begin with # # Data lines have no # # # Archive: Climate Reconstructions #-------------------- # Contribution_Date # Date: 2014-09-10 #-------------------- # Title # Study_Name: Torneträsk 1500 Year Tree Ring MXD and TRW Temperature Reconstructions #-------------------- # Investigators # Investigators: Melvin, T.M.; Grudd, H.; Briffa, K.R. #-------------------- # Description_and_Notes # Description: Summer (May to August) temperature reconstructions for Torneträsk in northern Sweden derived # using firstly MXD measurements from 130 pine trees (Pinus sylvestris-Scots Pine) for AD 441 to 2010 # and secondly TRW measurements from 650 pine trees for AD -39 to 2010. MXD data are derived from dry dead wood # and living trees while the TRW data was also derived from subfossil lake material. The 10-year low pass # chronologies are similar but the TRW has smaller error margins. # For further information see Melvin et al. (2012) paper. Metadata, supplementary data, computer programs and # code are all online at: http://www.cru.uea.ac.uk/cru/papers/melvin2012holocene/ #-------------------- # Publication # Authors: Thomas M. Melvin, Håkan Grudd, Keith R. Briffa # Published_Date_or_Year: 2013-03-01 # Published_Title: Potential bias in 'updating' tree-ring chronologies using regional curve standardisation: Re-processing 1500 years of Torneträsk density and ring-width data. # Journal_Name: The Holocene # Volume: 23 # Issue: 3 # Pages: 364-373 # DOI: 10.1177/0959683612460791 # Abstract: We describe the analysis of existing and new maximum-latewood-density (MXD) and tree-ring width (TRW) data from the Torneträsk region of northern Sweden and the construction of 1500 year chronologies. Some previous work found that MXD and TRW chronologies from Torneträsk were inconsistent over the most recent 200 years, even though they both reflect predominantly summer temperature influences on tree growth. We show that this was partly a result of systematic bias in MXD data measurements and partly a result of inhomogeneous sample selection from living trees (modern sample bias). We use refinements of the simple Regional Curve Standardisation (RCS) method of chronology construction to identify and mitigate these biases. The new MXD and TRW chronologies now present a largely consistent picture of long-timescale changes in past summer temperature in this region over their full length, indicating similar levels of summer warmth in the medieval period (MWP, c. ce 900-1100) and the latter half of the 20th century. Future work involving the updating of MXD chronologies using differently sourced measurements may require similar analysis and appropriate adjustment to that described here to make the data suitable for the production of un-biased RCS chronologies. The use of 'growth-rate' based multiple RCS curves is recommended to identify and mitigate the problem of 'modern sample bias'. #------------------ # Funding_Agency # Funding_Agency_Name: UK Natural Environment Research Council # Grant: NE/G018863/1 #------------------ # Funding_Agency_Name: Swedish Research Councils VR and FORMAS # Grant: Bert Bolin Centre Linnaeus Grant and VR70454201 #------------------ # Funding_Agency_Name: European Union # Grant: FP6 grant 017008, 'Millennium' project #------------------ # Funding_Agency_Name: The Royal Swedish Academy of Sciences # Grant: FOA09V-063 #------------------ # Site_Information # Site_Name: Torneträsk # Location: Europe>Northern Europe>Scandanavia>Sweden # Country: Sweden # Northernmost_Latitude: 68.31 # Southernmost_Latitude: 68.21 # Easternmost_Longitude: 19.80 # Westernmost_Longitude: 19.45 # Elevation: 350 m to 450 m #------------------ # Data_Collection # Collection_Name: Tornetrask2013MXDtemp # Earliest_Year: 441 # Most_Recent_Year: 2010 # Time_Unit: Year AD # Core_Length: # Notes: #------------------ # Chronology: # # # # #---------------- # Variables # # Data variables follow that are preceded by "##" in columns one and two. # Data line variables format: Variables list, one per line, shortname-tab-longname-tab-longname components (9 components: what, material, error, units, seasonality, archive, detail, method, C or N for Character or Numeric data) # ##age_AD age, , , years AD, , , Astronomical calendar year, ,N ##samp_num Sample Number, , , , , , number of tree ring samples, ,N ##temp-MJJA surface temperature, , , degrees C, May-August, , , tree-ring maximum density reconstruction,N ##temp-MJJAerr surface temperature 2SE error, , , degrees C, , , calculated when sample count >4 trees, ,N ##temp-MJJA10lp surface temperature 10 year low-pass filtered, , , degrees C, , , , tree-ring maximum density reconstruction 10yr low pass filter,N # #---------------- # Data: # Data lines follow (have no #) # Data line format - tab-delimited text, variable short name as header # Missing Values: # age_AD samp_num temp-MJJA temp-MJJAerr temp-MJJA10lp 441 1 10.078 0.000 10.563 442 1 10.920 0.000 10.756 443 1 11.460 0.000 10.877 444 1 10.773 0.000 10.889 445 1 11.029 0.000 10.812 446 1 10.984 0.000 10.680 447 1 9.720 0.000 10.550 448 2 10.180 0.000 10.497 449 2 10.709 0.000 10.509 450 2 10.690 0.000 10.524 451 2 10.594 0.000 10.498 452 3 10.963 0.000 10.412 453 3 9.731 0.000 10.275 454 3 10.341 0.000 10.141 455 3 9.258 0.000 10.028 456 3 10.008 0.000 9.940 457 3 11.206 0.000 9.810 458 3 9.384 0.000 9.592 459 3 8.653 0.000 9.382 460 3 8.615 0.000 9.271 461 3 10.078 0.000 9.253 462 3 9.080 0.000 9.256 463 3 9.352 0.000 9.272 464 3 8.894 0.000 9.299 465 3 9.581 0.000 9.328 466 3 10.224 0.000 9.315 467 3 8.295 0.000 9.257 468 3 8.875 0.000 9.228 469 3 9.776 0.000 9.214 470 3 9.711 0.000 9.155 471 3 8.440 0.000 9.057 472 3 8.603 0.000 8.979 473 3 9.805 0.000 8.923 474 3 8.456 0.000 8.856 475 3 8.849 0.000 8.819 476 3 8.940 0.000 8.835 477 3 8.406 0.000 8.921 478 3 8.597 0.000 9.093 479 3 9.471 0.000 9.305 480 3 10.836 0.000 9.447 481 3 9.298 0.000 9.453 482 3 8.767 0.000 9.400 483 3 9.449 0.000 9.366 484 3 9.170 0.000 9.367 485 3 9.262 0.000 9.400 486 3 10.189 0.000 9.444 487 3 9.097 0.000 9.478 488 3 9.191 0.000 9.542 489 3 9.911 0.000 9.649 490 3 9.635 0.000 9.772 491 3 9.773 0.000 9.899 492 3 10.278 0.000 10.004 493 3 10.558 0.000 10.057 494 3 9.153 0.000 10.062 495 3 10.696 0.000 10.059 496 3 9.623 0.000 10.026 497 4 10.277 0.763 9.969 498 4 10.122 0.398 9.880 499 4 9.047 0.596 9.777 500 4 10.140 0.379 9.693 501 4 9.128 0.702 9.603 502 4 10.359 0.703 9.498 503 4 9.803 0.227 9.351 504 4 7.791 0.627 9.227 505 4 9.162 0.393 9.220 506 4 9.591 0.566 9.288 507 4 9.824 0.747 9.350 508 4 9.115 0.788 9.371 509 4 9.970 0.866 9.363 510 4 9.368 0.552 9.344 511 4 7.724 0.708 9.383 512 4 9.770 0.769 9.530 513 4 10.938 0.481 9.666 514 4 10.151 0.740 9.688 515 4 8.643 0.180 9.643 516 4 9.414 0.487 9.632 517 5 9.604 1.014 9.661 518 5 9.838 0.681 9.685 519 5 10.497 0.687 9.650 520 5 9.285 0.504 9.539 521 5 8.972 0.666 9.423 522 5 9.371 0.580 9.352 523 5 9.496 0.665 9.327 524 5 8.919 0.544 9.342 525 5 9.707 0.133 9.399 526 5 9.602 0.789 9.467 527 5 8.993 0.819 9.541 528 5 10.359 0.561 9.623 529 5 9.665 1.317 9.679 530 5 8.845 0.580 9.741 531 5 10.094 0.787 9.830 532 5 10.158 1.087 9.886 533 5 9.912 1.066 9.856 534 5 10.149 0.863 9.725 535 5 10.093 1.212 9.502 536 5 7.895 0.835 9.257 537 5 9.690 0.701 9.096 538 5 8.042 0.400 9.017 539 5 9.884 0.546 9.015 540 5 9.213 0.594 9.025 541 5 7.846 0.560 9.050 542 6 10.787 0.897 9.106 543 6 8.450 0.668 9.130 544 6 8.512 0.944 9.187 545 6 9.605 0.748 9.295 546 6 9.488 0.952 9.394 547 9 9.613 0.494 9.442 548 9 10.166 0.714 9.416 549 9 8.741 0.520 9.336 550 9 9.300 1.025 9.287 551 9 8.509 0.565 9.313 552 9 9.705 1.006 9.423 553 9 10.173 0.827 9.548 554 9 9.433 0.754 9.646 555 9 9.227 1.141 9.741 556 9 10.555 0.857 9.839 557 10 8.949 0.270 9.903 558 10 11.010 0.800 9.935 559 10 10.062 0.707 9.882 560 10 8.794 0.470 9.786 561 10 10.093 0.608 9.705 562 10 10.073 0.557 9.613 563 10 9.318 0.442 9.509 564 10 8.954 0.360 9.444 565 10 9.441 0.669 9.449 566 10 9.656 0.546 9.499 567 10 9.461 0.496 9.558 568 10 10.005 0.880 9.608 569 10 8.683 0.476 9.629 570 10 10.437 1.374 9.621 571 10 10.061 0.873 9.512 572 10 9.194 0.677 9.310 573 10 9.497 0.598 9.094 574 10 7.514 0.598 8.956 575 10 8.827 0.554 8.993 576 10 9.470 0.357 9.153 577 10 9.737 0.403 9.342 578 10 9.431 0.652 9.503 579 10 9.271 0.758 9.626 580 10 10.192 0.627 9.695 581 10 10.321 0.747 9.668 582 10 8.878 0.692 9.561 583 10 9.519 1.065 9.457 584 10 9.560 0.783 9.383 585 10 8.552 0.697 9.359 586 10 9.435 0.664 9.408 587 10 10.331 0.706 9.470 588 10 9.811 0.817 9.491 589 10 8.112 0.362 9.516 590 10 10.319 0.835 9.608 591 11 9.270 0.546 9.713 592 11 10.375 0.962 9.800 593 10 9.506 0.667 9.827 594 10 10.311 0.810 9.793 595 10 9.822 0.676 9.689 596 10 9.408 0.582 9.557 597 10 8.904 0.572 9.462 598 10 9.468 0.679 9.442 599 10 9.658 0.621 9.474 600 10 9.646 0.858 9.529 601 10 9.233 0.680 9.598 602 10 10.171 0.945 9.682 603 10 8.704 0.589 9.759 604 10 10.749 0.907 9.821 605 10 9.822 0.618 9.787 606 11 10.678 0.726 9.645 607 11 8.339 0.477 9.439 608 11 9.134 0.612 9.293 609 11 8.951 0.757 9.237 610 11 9.780 0.942 9.251 611 11 8.667 0.773 9.293 612 11 10.178 0.983 9.354 613 11 9.104 0.661 9.394 614 11 9.067 0.667 9.435 615 11 9.404 0.705 9.480 616 11 11.090 0.866 9.485 617 11 8.463 0.505 9.432 618 11 8.839 0.824 9.439 619 11 8.616 0.745 9.553 620 11 11.231 0.974 9.706 621 11 9.539 0.818 9.760 622 11 10.134 0.769 9.703 623 11 9.703 0.800 9.552 624 11 8.943 0.689 9.366 625 11 9.174 0.657 9.220 626 12 9.065 0.674 9.149 627 12 8.672 0.714 9.169 628 12 9.600 0.860 9.274 629 12 9.389 0.717 9.411 630 12 9.862 0.785 9.549 631 12 9.076 0.546 9.671 632 12 9.808 0.576 9.777 633 12 10.716 0.905 9.813 634 12 10.069 0.819 9.736 635 12 8.846 0.689 9.608 636 12 8.928 0.528 9.527 637 12 10.044 0.716 9.507 638 12 9.798 0.589 9.491 639 11 8.740 0.808 9.473 640 11 9.842 0.706 9.473 641 11 9.766 0.887 9.451 642 11 9.414 0.549 9.396 643 11 8.780 0.498 9.340 644 11 9.072 0.522 9.309 645 11 10.229 0.508 9.266 646 11 9.645 0.424 9.160 647 11 7.989 0.502 9.046 648 10 8.636 0.534 9.026 649 10 9.644 1.205 9.097 650 10 9.147 0.954 9.201 651 10 8.689 1.180 9.324 652 10 10.140 1.342 9.446 653 10 9.877 1.329 9.496 654 10 9.386 1.424 9.471 655 10 8.700 1.359 9.421 656 10 9.480 1.257 9.378 657 10 9.901 1.276 9.302 658 10 9.441 1.175 9.158 659 10 8.260 1.132 8.985 660 10 9.255 0.944 8.846 661 10 8.604 0.782 8.751 662 10 8.160 0.470 8.724 663 10 9.245 0.925 8.774 664 11 8.828 1.201 8.858 665 11 8.807 0.859 8.968 666 11 8.843 1.184 9.099 667 11 9.898 1.003 9.223 668 12 9.625 0.995 9.299 669 12 8.494 0.956 9.356 670 12 9.377 0.888 9.454 671 13 9.799 1.041 9.570 672 12 9.680 0.929 9.656 673 12 9.564 1.037 9.685 674 12 10.445 0.844 9.638 675 12 9.708 0.954 9.502 676 12 8.220 0.885 9.353 677 12 9.445 0.775 9.276 678 12 9.515 0.912 9.253 679 12 8.949 0.874 9.256 680 12 9.433 0.649 9.285 681 12 9.191 0.802 9.315 682 12 9.444 0.822 9.329 683 12 10.349 0.996 9.300 684 12 8.381 0.877 9.239 685 12 8.578 0.795 9.249 686 12 9.981 0.851 9.349 687 12 8.745 0.963 9.485 688 12 10.022 0.941 9.633 689 12 10.084 1.008 9.717 690 12 10.277 0.962 9.691 691 13 9.682 0.822 9.575 692 13 8.590 0.881 9.459 693 13 9.539 0.911 9.439 694 13 8.774 1.068 9.526 695 12 9.656 0.758 9.698 696 12 10.610 0.865 9.859 697 12 10.666 0.954 9.906 698 12 9.253 0.765 9.834 699 12 10.188 0.797 9.720 700 13 9.259 0.795 9.614 701 13 8.904 0.819 9.590 702 13 9.380 0.824 9.680 703 13 10.368 1.128 9.826 704 12 10.308 0.996 9.936 705 12 9.571 0.925 9.976 706 12 10.128 1.073 9.954 707 12 10.393 0.951 9.852 708 12 9.746 0.630 9.671 709 12 9.225 0.731 9.476 710 12 9.046 0.703 9.346 711 12 9.054 0.699 9.330 712 12 9.319 0.623 9.431 713 12 9.466 0.789 9.611 714 12 10.384 0.823 9.813 715 12 9.821 0.751 9.974 716 12 10.239 0.719 10.083 717 12 10.241 0.921 10.132 718 12 9.960 1.012 10.130 719 12 10.269 0.819 10.094 720 12 9.624 0.820 10.033 721 11 10.600 0.760 9.958 722 11 9.821 0.885 9.859 723 11 9.386 0.865 9.781 724 11 9.486 0.749 9.772 725 11 9.812 0.790 9.830 726 11 10.818 0.943 9.912 727 11 9.249 0.668 9.991 728 11 9.640 0.705 10.114 729 11 10.587 1.117 10.260 730 11 11.151 0.696 10.351 731 11 9.940 0.544 10.350 732 11 10.379 0.582 10.300 733 11 9.851 0.477 10.226 734 11 10.392 0.979 10.140 735 11 9.520 0.692 10.022 736 11 11.070 0.595 9.859 737 11 9.493 0.682 9.620 738 11 8.897 0.679 9.387 739 11 8.760 0.867 9.244 740 11 9.161 0.760 9.212 741 11 9.530 0.811 9.245 742 11 9.784 0.567 9.287 743 11 9.243 0.912 9.323 744 11 8.932 0.848 9.397 745 11 9.214 0.897 9.544 746 11 10.358 0.935 9.738 747 12 9.813 0.805 9.927 748 12 9.808 0.814 10.108 749 11 10.859 0.726 10.277 750 11 10.066 0.854 10.409 751 11 10.976 0.852 10.525 752 11 9.942 0.557 10.635 753 11 10.688 0.757 10.770 754 11 11.635 0.667 10.897 755 11 10.892 0.911 10.979 756 11 10.148 0.550 11.049 757 11 11.826 0.851 11.125 758 11 11.457 0.870 11.152 759 11 10.313 0.872 11.129 760 11 11.830 0.793 11.083 761 11 11.104 0.929 10.986 762 11 10.159 0.738 10.869 763 11 11.210 0.704 10.776 764 11 10.702 0.754 10.690 765 11 10.504 0.522 10.622 766 11 9.888 0.841 10.594 767 11 11.132 0.675 10.595 768 11 11.126 0.534 10.554 769 11 10.385 0.688 10.450 770 11 9.733 0.720 10.337 771 11 10.905 0.975 10.259 772 11 9.392 0.864 10.212 773 11 10.363 0.916 10.223 774 11 10.758 0.812 10.255 775 11 10.393 0.967 10.276 776 10 9.171 0.878 10.313 777 10 10.866 0.883 10.389 778 10 10.553 0.945 10.423 779 10 11.193 0.746 10.359 780 10 10.294 1.020 10.188 781 10 9.206 0.625 9.991 782 10 9.872 0.748 9.865 783 10 9.360 0.712 9.827 784 10 9.857 0.908 9.860 785 9 10.623 0.956 9.903 786 9 9.685 0.925 9.898 787 9 10.863 0.959 9.856 788 9 8.639 0.833 9.813 789 9 9.022 0.882 9.872 790 9 10.857 0.876 10.019 791 9 9.675 0.856 10.141 792 9 10.942 0.989 10.180 793 9 10.770 0.731 10.071 794 9 9.282 1.048 9.833 795 9 9.017 0.784 9.564 796 9 10.003 0.836 9.310 797 9 8.602 0.695 9.061 798 9 9.099 0.760 8.854 799 9 8.734 0.706 8.705 800 9 7.737 0.505 8.641 801 10 9.237 0.760 8.676 802 10 8.612 0.929 8.746 803 10 8.887 0.651 8.818 804 10 9.261 0.804 8.862 805 11 8.836 0.567 8.861 806 11 8.622 0.525 8.841 807 11 8.859 0.519 8.832 808 11 8.720 0.528 8.837 809 11 8.923 0.465 8.858 810 11 8.854 0.816 8.883 811 11 9.226 0.862 8.907 812 11 8.790 0.866 8.928 813 11 8.819 0.652 8.976 814 11 8.494 0.846 9.070 815 10 9.435 0.752 9.193 816 10 10.151 0.785 9.271 817 10 9.329 0.776 9.263 818 10 8.601 0.684 9.230 819 10 8.773 0.910 9.242 820 10 9.563 0.731 9.296 821 10 9.825 0.915 9.331 822 10 9.550 0.602 9.314 823 10 9.065 0.646 9.275 824 10 8.644 0.612 9.278 825 10 9.620 0.880 9.353 826 10 9.294 0.576 9.467 827 10 9.912 0.665 9.593 828 10 9.658 0.859 9.702 829 10 9.698 0.814 9.790 830 10 10.006 0.669 9.857 831 10 9.814 0.538 9.897 832 10 10.183 0.591 9.911 833 10 10.014 0.640 9.906 834 10 8.792 0.819 9.916 835 10 10.832 0.754 9.966 836 10 9.636 0.718 9.987 837 10 10.868 0.710 9.964 838 10 9.360 0.565 9.890 839 10 9.795 0.491 9.829 840 10 9.400 0.854 9.814 841 10 10.054 0.826 9.849 842 11 9.837 0.682 9.899 843 11 10.271 0.805 9.940 844 11 9.362 0.658 9.954 845 11 10.723 0.544 9.939 846 11 9.372 0.476 9.864 847 11 10.028 0.597 9.748 848 11 9.410 0.488 9.589 849 11 9.730 0.605 9.395 850 12 9.426 0.503 9.173 851 12 8.696 0.422 8.963 852 12 8.524 0.504 8.838 853 12 8.091 0.452 8.837 854 12 9.187 0.585 8.945 855 12 9.631 0.619 9.063 856 12 9.728 0.551 9.116 857 12 8.317 0.397 9.108 858 12 9.220 0.416 9.103 859 12 9.255 0.609 9.098 860 12 8.935 0.713 9.090 861 12 9.117 0.767 9.089 862 12 9.309 0.771 9.093 863 12 8.972 0.905 9.108 864 12 9.699 0.661 9.156 865 12 8.187 0.556 9.266 866 12 9.329 0.987 9.492 867 13 9.782 0.631 9.786 868 13 10.399 0.637 10.054 869 13 11.203 0.638 10.208 870 13 9.679 0.442 10.220 871 13 10.394 0.673 10.162 872 13 9.655 0.464 10.079 873 13 10.074 0.692 10.018 874 13 9.551 0.723 9.988 875 13 10.100 0.558 9.980 876 13 11.081 0.492 9.947 877 13 8.481 0.611 9.871 878 13 10.561 0.692 9.818 879 13 9.882 0.677 9.761 880 13 10.116 0.632 9.715 881 13 8.238 0.468 9.738 882 13 10.175 0.711 9.893 883 13 10.545 0.619 10.106 884 13 10.190 0.578 10.305 885 13 10.317 0.459 10.467 886 13 11.138 0.573 10.565 887 13 11.049 0.530 10.569 888 13 9.600 0.726 10.516 889 13 9.979 0.548 10.484 890 13 11.084 0.583 10.456 891 13 11.643 0.679 10.355 892 13 9.012 0.504 10.189 893 13 9.864 0.693 10.086 894 13 9.919 0.633 10.079 895 12 10.116 0.619 10.143 896 12 10.419 0.846 10.231 897 12 10.539 0.556 10.293 898 12 10.079 0.534 10.303 899 13 11.032 0.634 10.263 900 13 9.598 0.721 10.174 901 13 10.187 0.729 10.100 902 13 10.005 0.634 10.064 903 13 9.408 0.745 10.085 904 13 10.303 0.838 10.158 905 13 10.654 0.599 10.211 906 13 10.941 0.871 10.179 907 13 9.076 0.535 10.070 908 13 10.242 0.751 9.953 909 13 10.427 0.648 9.825 910 13 9.176 0.514 9.699 911 13 8.684 0.570 9.647 912 13 10.566 0.708 9.675 913 13 9.884 0.687 9.702 914 13 9.181 0.709 9.717 915 13 10.338 0.750 9.737 916 13 9.696 0.783 9.744 917 13 9.169 0.657 9.767 918 13 9.807 0.709 9.832 919 13 10.566 0.712 9.898 920 13 10.073 0.666 9.927 921 12 9.052 0.626 9.949 922 12 10.793 0.686 10.009 923 12 9.353 0.659 10.077 924 12 10.743 0.856 10.167 925 12 10.159 0.780 10.251 926 12 10.643 0.658 10.339 927 12 9.545 0.602 10.455 928 12 10.823 0.591 10.630 929 12 10.916 0.736 10.811 930 12 11.539 0.755 10.944 931 13 10.321 0.832 11.010 932 13 11.342 0.923 11.032 933 13 10.705 0.697 10.987 934 13 11.488 0.953 10.861 935 13 11.193 0.698 10.632 936 13 9.441 0.719 10.351 937 13 10.021 0.477 10.122 938 13 9.819 0.566 9.962 939 13 10.927 0.571 9.855 940 13 8.752 0.528 9.793 941 13 9.842 0.767 9.848 942 13 9.556 0.659 10.012 943 13 10.339 0.859 10.239 944 13 10.889 0.630 10.436 945 13 10.837 0.580 10.522 946 13 10.817 0.861 10.471 947 13 10.436 0.731 10.313 948 13 9.552 0.646 10.126 949 13 9.812 0.670 9.991 950 13 9.374 0.702 9.932 951 13 11.041 0.906 9.923 952 13 9.494 0.711 9.904 953 13 9.735 0.704 9.909 954 13 9.872 0.562 9.950 955 13 10.177 0.587 10.010 956 13 9.901 0.641 10.066 957 13 10.433 0.688 10.102 958 14 9.704 0.736 10.100 959 14 10.664 0.659 10.063 960 14 10.821 0.615 9.974 961 14 8.112 0.452 9.893 962 14 10.087 0.810 9.936 963 14 10.003 0.539 10.059 964 14 11.175 0.630 10.187 965 14 9.923 0.539 10.269 966 14 10.043 0.685 10.347 967 14 10.638 0.586 10.442 968 14 10.324 0.782 10.543 969 14 11.053 0.552 10.644 970 14 9.951 0.717 10.732 971 14 10.880 0.731 10.810 972 14 11.943 0.688 10.815 973 14 10.797 0.634 10.698 974 14 9.728 0.580 10.531 975 14 10.557 0.606 10.406 976 14 9.829 0.703 10.339 977 14 10.678 0.809 10.325 978 14 11.113 0.823 10.322 979 14 9.330 0.529 10.329 980 14 10.479 0.823 10.412 981 14 9.781 0.410 10.557 982 14 11.912 0.686 10.708 983 14 11.266 0.571 10.762 984 14 10.043 0.604 10.736 985 13 10.232 0.725 10.711 986 13 11.296 0.669 10.697 987 13 10.891 0.716 10.651 988 13 10.498 0.651 10.587 989 13 9.481 0.605 10.559 990 13 11.551 0.512 10.586 991 13 10.192 0.379 10.600 992 13 11.273 0.678 10.596 993 13 10.100 0.445 10.566 994 13 10.185 0.559 10.552 995 13 11.221 0.586 10.556 996 13 10.344 0.366 10.546 997 13 10.614 0.522 10.544 998 13 10.214 0.643 10.570 999 13 10.084 0.513 10.638 1000 13 11.788 0.644 10.712 1001 13 10.303 0.641 10.716 1002 13 11.232 0.841 10.664 1003 13 9.987 0.560 10.565 1004 13 10.566 0.586 10.466 1005 13 10.263 0.524 10.367 1006 13 10.546 0.466 10.264 1007 13 10.559 0.602 10.151 1008 13 8.814 0.530 10.059 1009 13 10.554 0.796 10.036 1010 13 9.810 0.743 10.024 1011 13 10.681 0.976 9.983 1012 13 9.810 0.794 9.882 1013 13 9.665 0.866 9.753 1014 13 9.743 0.679 9.638 1015 13 9.481 0.624 9.570 1016 12 9.479 0.732 9.588 1017 12 8.770 0.540 9.725 1018 12 10.186 0.648 9.970 1019 12 10.688 0.759 10.219 1020 11 10.733 0.861 10.378 1021 11 10.699 0.958 10.416 1022 11 10.514 0.556 10.357 1023 11 9.770 0.689 10.270 1024 11 9.496 0.815 10.233 1025 11 11.094 1.307 10.256 1026 10 9.783 0.840 10.284 1027 10 10.445 0.944 10.315 1028 10 10.849 0.894 10.321 1029 10 9.829 0.743 10.287 1030 10 10.758 1.026 10.244 1031 10 9.915 0.740 10.204 1032 10 9.983 0.972 10.213 1033 10 10.164 0.962 10.294 1034 10 10.623 1.029 10.433 1035 10 10.223 1.130 10.605 1036 10 10.280 1.085 10.791 1037 9 12.230 0.909 10.921 1038 9 10.854 0.791 10.899 1039 9 10.711 0.672 10.749 1040 9 11.023 0.617 10.526 1041 8 9.744 0.865 10.288 1042 8 9.649 0.597 10.135 1043 8 9.840 0.625 10.106 1044 8 10.292 0.947 10.171 1045 8 10.779 0.620 10.264 1046 8 10.818 0.759 10.334 1047 8 8.789 0.438 10.403 1048 8 11.958 1.202 10.514 1049 8 10.393 0.591 10.592 1050 8 9.211 0.689 10.663 1051 8 12.477 1.143 10.735 1052 9 10.987 0.516 10.703 1053 9 9.821 0.600 10.616 1054 9 10.453 0.921 10.574 1055 9 10.537 0.720 10.599 1056 9 10.496 1.076 10.680 1057 9 10.926 0.858 10.788 1058 9 11.452 0.973 10.882 1059 9 10.200 0.866 10.940 1060 9 11.196 0.946 10.988 1061 9 11.208 1.129 10.993 1062 9 10.996 0.699 10.929 1063 9 10.566 0.935 10.803 1064 9 10.874 1.029 10.624 1065 9 10.687 0.484 10.389 1066 9 10.231 0.682 10.118 1067 9 9.936 0.314 9.876 1068 9 8.935 0.475 9.745 1069 9 9.342 0.511 9.797 1070 9 9.784 0.485 10.010 1071 9 10.755 0.707 10.287 1072 9 10.783 0.499 10.508 1073 9 11.010 0.570 10.605 1074 9 10.883 0.561 10.558 1075 9 10.232 0.429 10.406 1076 9 10.363 0.674 10.229 1077 10 9.353 0.552 10.100 1078 10 9.262 0.653 10.081 1079 10 10.857 0.967 10.138 1080 10 11.149 0.813 10.155 1081 10 10.083 0.997 10.091 1082 10 9.472 0.883 10.029 1083 10 9.282 0.459 10.061 1084 10 10.914 0.609 10.203 1085 10 9.627 0.497 10.392 1086 10 11.615 0.928 10.598 1087 10 10.558 0.633 10.760 1088 10 10.793 0.597 10.893 1089 10 10.581 0.681 11.017 1090 10 11.160 0.661 11.127 1091 9 11.329 0.912 11.167 1092 10 12.175 0.857 11.080 1093 10 10.554 0.720 10.855 1094 10 10.539 0.772 10.590 1095 10 9.929 0.756 10.380 1096 10 9.572 0.483 10.294 1097 10 10.866 0.668 10.336 1098 10 10.504 0.545 10.434 1099 10 10.685 0.926 10.556 1100 10 10.434 0.593 10.696 1101 10 10.946 0.895 10.853 1102 10 10.571 0.783 11.007 1103 10 11.191 0.587 11.128 1104 10 11.712 0.839 11.146 1105 10 10.769 0.807 10.999 1106 10 11.975 0.841 10.682 1107 10 10.122 0.549 10.214 1108 10 9.594 0.721 9.737 1109 10 8.002 0.808 9.417 1110 10 9.047 0.956 9.365 1111 9 9.572 0.566 9.530 1112 9 9.629 0.605 9.796 1113 9 11.182 0.962 10.038 1114 9 10.696 0.470 10.143 1115 9 9.399 0.487 10.128 1116 9 10.316 0.569 10.078 1117 9 9.396 0.617 10.023 1118 9 10.692 0.949 9.982 1119 9 9.593 0.857 9.934 1120 9 9.856 0.511 9.906 1121 9 9.365 0.505 9.907 1122 9 10.521 0.795 9.919 1123 9 10.015 0.735 9.880 1124 9 9.922 0.743 9.782 1125 9 9.104 0.624 9.648 1126 9 10.303 0.862 9.506 1127 9 8.761 0.606 9.353 1128 9 9.293 0.737 9.238 1129 9 9.418 0.795 9.171 1130 9 8.196 0.536 9.159 1131 9 9.521 0.521 9.210 1132 9 10.163 0.644 9.248 1133 9 8.664 0.691 9.227 1134 9 8.687 0.751 9.190 1135 9 10.106 0.944 9.130 1136 9 8.490 0.600 9.003 1137 9 9.238 0.507 8.836 1138 9 9.003 0.509 8.640 1139 9 7.731 0.880 8.464 1140 10 8.240 0.767 8.386 1141 10 8.241 0.655 8.413 1142 10 8.286 0.651 8.515 1143 10 9.694 0.439 8.633 1144 10 8.456 0.716 8.706 1145 10 8.696 0.975 8.773 1146 10 8.437 0.631 8.872 1147 10 8.935 0.474 9.015 1148 9 9.902 0.633 9.164 1149 9 9.135 0.388 9.281 1150 9 9.051 0.776 9.400 1151 9 9.216 0.808 9.548 1152 9 9.984 1.003 9.704 1153 9 10.139 0.903 9.813 1154 9 10.043 0.935 9.846 1155 9 9.968 0.727 9.820 1156 9 9.888 1.197 9.788 1157 9 8.809 0.830 9.822 1158 9 10.129 0.746 9.986 1159 9 10.284 0.841 10.241 1160 9 9.965 0.665 10.541 1161 9 11.671 0.793 10.830 1162 9 11.246 0.451 11.019 1163 9 10.690 0.406 11.095 1164 9 11.376 0.723 11.079 1165 9 11.174 0.573 10.965 1166 10 10.550 0.475 10.773 1167 10 10.586 0.586 10.545 1168 10 10.993 0.512 10.308 1169 10 9.206 0.758 10.105 1170 11 9.849 0.940 10.026 1171 11 9.384 0.640 10.083 1172 11 11.254 0.905 10.227 1173 11 9.917 0.701 10.359 1174 11 10.525 0.741 10.457 1175 11 11.345 0.739 10.482 1176 11 10.300 0.832 10.412 1177 10 9.604 0.555 10.314 1178 10 10.653 0.676 10.247 1179 10 9.729 0.583 10.205 1180 10 10.616 0.579 10.192 1181 10 10.135 0.559 10.184 1182 10 9.669 0.329 10.190 1183 10 10.477 0.437 10.208 1184 10 10.568 0.691 10.190 1185 10 10.615 0.880 10.110 1186 10 9.083 0.702 10.004 1187 10 9.881 0.331 9.944 1188 10 10.256 0.369 9.921 1189 10 9.520 0.387 9.900 1190 10 10.507 0.436 9.873 1191 10 9.748 0.331 9.816 1192 10 8.585 0.598 9.759 1193 10 11.590 0.390 9.713 1194 10 8.141 0.369 9.611 1195 10 10.499 0.466 9.515 1196 10 9.657 0.550 9.407 1197 10 7.900 0.499 9.340 1198 10 9.562 0.533 9.381 1199 10 10.170 0.660 9.460 1200 10 9.457 0.476 9.504 1201 10 9.855 0.527 9.519 1202 10 8.365 0.478 9.535 1203 10 9.950 0.620 9.581 1204 10 10.059 0.700 9.586 1205 10 10.028 0.567 9.499 1206 10 9.057 0.354 9.341 1207 10 8.950 0.635 9.192 1208 10 8.404 0.671 9.112 1209 10 9.870 0.730 9.110 1210 10 8.710 0.786 9.132 1211 10 9.311 0.520 9.177 1212 9 9.849 1.049 9.222 1213 9 8.782 0.606 9.263 1214 9 9.357 0.901 9.353 1215 9 8.955 0.546 9.509 1216 9 9.509 0.503 9.725 1217 9 10.817 0.532 9.929 1218 9 10.286 0.490 10.037 1219 9 10.144 0.630 10.058 1220 9 8.784 0.749 10.051 1221 9 10.928 0.766 10.058 1222 9 10.243 0.640 10.015 1223 9 9.380 0.736 9.921 1224 9 10.410 0.441 9.808 1225 9 9.414 0.751 9.672 1226 9 8.509 0.630 9.551 1227 9 11.256 0.786 9.446 1228 8 8.394 0.479 9.289 1229 8 9.817 0.586 9.150 1230 8 8.276 0.463 9.071 1231 8 9.434 0.421 9.117 1232 8 8.041 0.563 9.298 1233 8 10.006 0.708 9.604 1234 8 10.424 0.697 9.912 1235 8 10.489 0.529 10.122 1236 8 9.898 0.424 10.206 1237 8 11.414 1.009 10.182 1238 8 8.530 0.573 10.074 1239 8 10.223 0.850 9.989 1240 8 10.027 1.067 9.909 1241 8 9.863 1.022 9.805 1242 9 9.675 0.610 9.668 1243 9 9.989 0.679 9.497 1244 9 8.556 0.597 9.308 1245 9 9.861 0.787 9.147 1246 9 8.543 0.500 9.014 1247 9 8.834 0.696 8.951 1248 9 8.680 0.525 8.967 1249 9 9.218 0.860 9.039 1250 9 9.581 0.748 9.117 1251 9 8.939 0.552 9.171 1252 9 9.131 0.798 9.222 1253 9 9.595 0.697 9.273 1254 9 8.940 0.576 9.322 1255 9 9.227 0.722 9.387 1256 9 8.899 0.466 9.451 1257 9 10.976 0.755 9.456 1258 9 9.527 0.764 9.322 1259 9 8.383 0.920 9.118 1260 9 8.683 0.704 8.953 1261 9 9.052 0.743 8.861 1262 8 8.798 0.820 8.832 1263 8 8.906 0.759 8.867 1264 8 8.140 0.677 8.972 1265 8 10.295 0.830 9.133 1266 8 9.307 0.719 9.280 1267 9 8.479 0.850 9.444 1268 9 9.597 0.934 9.663 1269 9 10.614 0.941 9.877 1270 9 9.977 0.572 10.009 1271 9 9.911 0.566 10.058 1272 9 9.867 0.708 10.035 1273 9 10.710 0.581 9.931 1274 9 9.257 0.512 9.735 1275 9 10.138 0.695 9.501 1276 9 8.740 0.512 9.268 1277 9 8.637 0.588 9.117 1278 9 9.215 0.841 9.079 1279 9 8.825 1.040 9.123 1280 9 9.901 0.665 9.212 1281 9 9.058 0.626 9.300 1282 9 8.864 0.753 9.400 1283 9 10.134 0.696 9.502 1284 9 9.554 0.759 9.551 1285 9 9.934 0.975 9.544 1286 9 8.969 0.737 9.504 1287 9 9.643 0.605 9.482 1288 9 9.073 0.526 9.486 1289 9 9.638 0.600 9.518 1290 9 9.434 0.635 9.543 1291 9 10.119 0.519 9.526 1292 10 9.616 0.574 9.439 1293 10 9.162 0.650 9.315 1294 10 8.458 0.738 9.221 1295 10 10.280 0.621 9.189 1296 10 8.414 0.609 9.198 1297 10 9.225 0.771 9.299 1298 9 9.233 0.879 9.489 1299 9 9.732 1.051 9.731 1300 9 10.822 0.940 9.958 1301 9 9.606 0.869 10.120 1302 9 10.249 0.777 10.241 1303 10 10.359 0.868 10.318 1304 10 10.188 0.738 10.333 1305 10 10.622 0.599 10.272 1306 10 10.811 1.040 10.112 1307 10 9.511 0.732 9.886 1308 10 9.408 0.657 9.695 1309 10 8.528 0.776 9.612 1310 10 10.452 0.688 9.645 1311 10 10.231 0.711 9.700 1312 10 9.503 0.478 9.754 1313 9 9.683 0.574 9.853 1314 9 9.190 0.523 10.026 1315 10 10.503 0.967 10.257 1316 11 11.534 0.748 10.444 1317 11 9.702 0.591 10.519 1318 11 11.305 0.502 10.510 1319 10 9.984 0.589 10.410 1320 10 10.829 0.501 10.264 1321 10 9.443 0.642 10.107 1322 10 10.141 0.695 10.003 1323 10 9.447 0.619 9.966 1324 10 9.658 0.570 9.995 1325 10 10.692 0.655 10.029 1326 10 10.234 0.702 9.976 1327 10 10.613 0.440 9.808 1328 10 8.896 0.539 9.566 1329 10 8.943 0.447 9.362 1330 10 9.216 0.574 9.248 1331 10 9.461 0.516 9.214 1332 10 8.920 0.561 9.244 1333 10 8.900 0.639 9.337 1334 10 10.254 0.573 9.452 1335 10 9.695 0.482 9.518 1336 11 9.246 0.578 9.538 1337 11 9.600 0.944 9.549 1338 11 9.408 0.612 9.562 1339 10 9.763 1.000 9.582 1340 10 9.709 0.873 9.604 1341 10 8.876 0.672 9.642 1342 10 9.683 0.679 9.703 1343 10 10.647 0.531 9.718 1344 10 9.728 1.238 9.622 1345 10 9.464 0.940 9.446 1346 10 8.270 0.662 9.258 1347 10 10.162 0.774 9.103 1348 11 8.662 0.712 8.954 1349 11 8.552 0.608 8.859 1350 11 8.526 0.849 8.857 1351 11 9.268 0.936 8.935 1352 11 8.816 0.814 9.051 1353 12 9.234 0.732 9.181 1354 12 9.836 0.857 9.284 1355 12 8.933 0.766 9.338 1356 12 9.747 0.947 9.364 1357 11 9.269 0.869 9.370 1358 11 9.096 0.830 9.386 1359 11 9.318 0.615 9.438 1360 11 9.754 0.728 9.513 1361 11 9.798 0.676 9.586 1362 11 10.008 0.611 9.659 1363 11 8.241 0.672 9.771 1364 11 10.466 0.722 9.965 1365 11 10.572 0.520 10.145 1366 11 10.826 0.430 10.239 1367 11 9.285 0.671 10.248 1368 11 11.374 0.832 10.219 1369 11 9.493 0.655 10.147 1370 11 9.299 0.600 10.101 1371 11 10.431 0.651 10.095 1372 11 11.001 0.465 10.049 1373 11 9.252 0.675 9.922 1374 11 10.267 0.784 9.764 1375 11 9.321 0.633 9.593 1376 11 9.817 0.546 9.454 1377 11 8.820 0.648 9.388 1378 11 8.862 0.855 9.451 1379 11 9.772 0.604 9.633 1380 11 10.046 0.629 9.853 1381 11 10.173 0.623 10.035 1382 11 10.162 0.902 10.127 1383 10 10.849 0.831 10.101 1384 10 10.225 0.709 9.952 1385 10 8.795 0.957 9.764 1386 10 9.580 0.775 9.642 1387 10 9.774 0.953 9.596 1388 10 9.277 0.896 9.608 1389 10 9.442 0.804 9.671 1390 10 10.071 0.961 9.739 1391 10 10.401 1.354 9.744 1392 10 9.641 1.097 9.663 1393 10 9.632 1.210 9.551 1394 10 8.418 0.815 9.476 1395 11 9.694 1.095 9.490 1396 11 10.111 1.188 9.541 1397 11 9.353 0.730 9.587 1398 11 9.722 0.944 9.641 1399 11 9.773 0.809 9.713 1400 12 9.383 0.926 9.813 1401 12 9.963 1.173 9.951 1402 12 10.423 1.013 10.093 1403 12 10.154 1.054 10.203 1404 12 10.323 0.859 10.279 1405 12 10.326 1.098 10.324 1406 12 10.447 1.153 10.344 1407 12 10.433 1.009 10.348 1408 12 9.983 0.673 10.359 1409 12 10.237 1.079 10.402 1410 12 10.308 1.234 10.460 1411 12 11.800 1.057 10.487 1412 12 9.511 0.725 10.447 1413 12 10.597 0.888 10.417 1414 12 9.772 0.941 10.411 1415 12 10.861 1.109 10.426 1416 12 11.257 1.099 10.403 1417 12 9.466 0.714 10.338 1418 12 10.497 1.019 10.302 1419 12 10.145 0.911 10.305 1420 12 10.108 0.826 10.349 1421 12 11.192 0.849 10.417 1422 12 9.900 1.018 10.485 1423 12 10.235 0.690 10.588 1424 12 10.979 0.826 10.710 1425 12 11.218 0.905 10.791 1426 12 10.481 0.730 10.801 1427 12 11.447 0.792 10.751 1428 12 10.238 0.832 10.651 1429 12 10.640 0.732 10.563 1430 12 10.173 0.931 10.525 1431 12 10.344 0.838 10.564 1432 12 10.807 0.850 10.668 1433 12 10.485 0.873 10.794 1434 13 11.100 0.785 10.902 1435 13 11.546 0.812 10.929 1436 13 10.628 0.543 10.838 1437 13 11.072 0.705 10.658 1438 13 10.425 0.682 10.422 1439 13 9.404 0.923 10.201 1440 13 9.936 0.611 10.057 1441 13 10.720 0.750 9.966 1442 13 9.467 0.527 9.889 1443 14 9.916 0.509 9.853 1444 14 9.664 0.383 9.862 1445 14 10.178 0.615 9.908 1446 15 9.901 0.408 9.974 1447 15 9.955 0.516 10.063 1448 16 9.914 0.562 10.175 1449 16 9.977 0.628 10.289 1450 16 11.175 0.714 10.348 1451 16 10.574 0.597 10.275 1452 16 10.912 0.591 10.080 1453 15 8.058 0.544 9.847 1454 15 10.175 0.661 9.706 1455 16 9.235 0.535 9.639 1456 16 9.896 0.824 9.614 1457 16 10.066 0.637 9.582 1458 16 9.001 0.468 9.522 1459 16 9.879 0.501 9.458 1460 16 9.410 0.473 9.384 1461 16 9.318 0.440 9.323 1462 16 9.221 0.344 9.313 1463 16 8.631 0.422 9.391 1464 16 9.489 0.499 9.562 1465 16 10.668 0.667 9.748 1466 16 9.691 0.519 9.870 1467 16 9.621 0.323 9.936 1468 16 10.514 0.574 9.951 1469 16 9.470 0.632 9.898 1470 16 10.353 0.502 9.799 1471 16 9.497 0.328 9.659 1472 16 9.371 0.427 9.528 1473 16 8.793 0.284 9.448 1474 16 10.006 0.519 9.423 1475 16 9.708 0.649 9.400 1476 16 8.757 0.481 9.379 1477 16 10.102 0.608 9.390 1478 16 8.625 0.434 9.424 1479 16 9.861 0.608 9.511 1480 16 9.424 0.592 9.624 1481 16 9.928 0.546 9.746 1482 16 10.142 0.356 9.854 1483 16 9.099 0.353 9.948 1484 16 10.509 0.586 10.036 1485 16 10.948 0.724 10.062 1486 17 9.594 0.450 10.018 1487 17 9.708 0.623 9.989 1488 17 9.436 0.411 10.033 1489 17 10.246 0.585 10.151 1490 17 10.756 0.576 10.279 1491 17 10.417 0.590 10.357 1492 17 10.495 0.542 10.381 1493 17 9.658 0.413 10.369 1494 17 10.890 0.724 10.330 1495 17 10.233 0.423 10.222 1496 17 11.289 0.655 10.039 1497 17 8.407 0.323 9.824 1498 17 9.543 0.524 9.716 1499 17 9.581 0.534 9.731 1500 17 10.108 0.666 9.829 1501 17 9.871 0.660 9.957 1502 16 10.226 0.529 10.082 1503 16 9.993 0.444 10.178 1504 16 10.261 0.333 10.222 1505 16 10.842 0.574 10.180 1506 16 10.664 0.544 10.032 1507 16 8.416 0.455 9.847 1508 16 10.334 0.835 9.738 1509 16 9.207 0.505 9.699 1510 16 9.561 0.536 9.741 1511 16 10.281 0.564 9.830 1512 16 9.564 0.486 9.914 1513 16 10.480 0.582 9.975 1514 16 9.813 0.702 9.982 1515 16 10.399 0.869 9.944 1516 16 9.299 0.768 9.877 1517 15 9.619 0.440 9.824 1518 15 10.488 0.300 9.777 1519 15 9.513 0.370 9.707 1520 15 9.273 0.377 9.651 1521 15 9.663 0.426 9.634 1522 15 9.662 0.579 9.635 1523 14 10.017 0.476 9.631 1524 14 9.475 0.362 9.609 1525 14 9.600 0.583 9.596 1526 13 9.213 0.402 9.614 1527 13 10.168 0.602 9.670 1528 13 9.339 0.436 9.746 1529 13 10.235 0.585 9.852 1530 13 9.349 0.580 9.978 1531 13 10.077 0.514 10.130 1532 13 10.689 0.527 10.256 1533 13 10.909 0.674 10.291 1534 13 10.180 0.795 10.233 1535 13 9.911 0.610 10.153 1536 13 9.174 0.625 10.124 1537 13 10.330 0.507 10.173 1538 13 10.808 0.717 10.220 1539 13 10.521 0.777 10.196 1540 13 9.804 0.673 10.105 1541 13 10.244 0.826 9.991 1542 13 9.701 0.673 9.883 1543 13 9.698 0.564 9.823 1544 13 8.874 0.585 9.836 1545 13 11.148 0.962 9.908 1546 13 9.762 0.647 9.950 1547 13 9.956 0.625 9.975 1548 13 9.888 0.597 10.008 1549 13 10.062 0.714 10.061 1550 13 9.760 0.626 10.137 1551 13 10.474 0.686 10.224 1552 13 10.601 0.613 10.277 1553 13 10.224 0.680 10.278 1554 13 10.176 0.677 10.245 1555 13 10.221 0.607 10.198 1556 13 10.215 0.691 10.151 1557 13 9.614 0.782 10.117 1558 13 11.111 0.882 10.107 1559 13 9.452 0.535 10.102 1560 13 9.868 0.684 10.163 1561 13 10.412 0.470 10.299 1562 13 9.656 0.707 10.474 1563 13 11.334 0.698 10.636 1564 13 11.543 0.631 10.668 1565 13 10.991 0.720 10.527 1566 13 9.911 0.709 10.294 1567 13 8.853 0.816 10.106 1568 13 9.749 0.695 10.044 1569 13 11.271 0.636 10.039 1570 13 10.073 0.615 9.992 1571 13 9.197 0.700 9.924 1572 13 10.333 0.586 9.880 1573 13 9.569 0.548 9.843 1574 13 9.566 0.505 9.816 1575 13 10.256 0.463 9.780 1576 13 9.734 0.547 9.693 1577 13 9.730 0.737 9.560 1578 13 9.408 0.602 9.405 1579 13 9.340 0.524 9.272 1580 13 8.551 0.443 9.210 1581 13 8.917 0.476 9.259 1582 13 9.725 0.458 9.384 1583 13 9.401 0.454 9.506 1584 13 10.105 0.639 9.568 1585 13 9.788 0.528 9.528 1586 13 9.539 0.593 9.402 1587 13 8.241 0.437 9.250 1588 13 9.876 0.665 9.128 1589 13 8.983 0.484 9.008 1590 13 8.715 0.653 8.916 1591 13 8.781 0.628 8.888 1592 13 8.776 0.508 8.935 1593 13 9.257 0.625 9.048 1594 13 8.948 0.663 9.204 1595 13 9.373 0.654 9.392 1596 13 9.614 0.703 9.578 1597 13 9.484 0.899 9.721 1598 13 10.519 0.826 9.775 1599 13 9.789 0.727 9.694 1600 13 10.019 0.598 9.502 1601 13 8.137 0.507 9.266 1602 13 9.186 0.525 9.081 1603 12 9.360 0.419 8.940 1604 12 8.566 0.325 8.829 1605 12 8.468 0.422 8.775 1606 12 9.175 0.454 8.776 1607 12 8.629 0.485 8.807 1608 12 8.805 0.718 8.869 1609 12 8.564 0.725 8.953 1610 12 9.689 0.699 9.031 1611 12 9.192 0.667 9.046 1612 11 8.430 0.554 9.007 1613 12 10.235 0.890 8.938 1614 12 7.936 0.614 8.842 1615 12 8.617 0.513 8.816 1616 13 8.422 0.626 8.895 1617 14 9.854 0.579 9.053 1618 14 8.342 0.460 9.235 1619 14 10.205 0.675 9.430 1620 14 9.475 0.880 9.577 1621 14 9.555 0.750 9.670 1622 14 10.295 0.734 9.710 1623 14 9.798 0.926 9.696 1624 14 9.195 0.800 9.689 1625 14 9.123 0.803 9.765 1626 14 9.874 0.700 9.931 1627 14 10.358 0.827 10.114 1628 14 10.448 0.863 10.228 1629 14 10.692 0.695 10.211 1630 14 10.089 0.632 10.048 1631 14 10.784 0.626 9.777 1632 14 8.563 0.579 9.480 1633 13 7.863 0.357 9.323 1634 13 9.642 0.568 9.361 1635 13 9.574 0.671 9.484 1636 13 10.877 0.722 9.575 1637 13 9.451 0.568 9.566 1638 13 8.357 0.486 9.526 1639 13 9.262 0.665 9.515 1640 14 11.332 0.799 9.459 1641 14 8.252 0.401 9.280 1642 14 9.622 0.668 9.059 1643 14 8.268 0.601 8.834 1644 14 9.301 0.651 8.661 1645 14 8.083 0.641 8.567 1646 14 8.392 0.650 8.619 1647 14 7.865 0.484 8.844 1648 14 9.631 0.798 9.207 1649 14 10.186 0.750 9.577 1650 15 9.673 0.767 9.859 1651 15 10.401 0.682 10.025 1652 15 11.077 1.028 10.054 1653 15 8.949 0.607 9.986 1654 15 9.169 0.767 9.950 1655 15 10.624 0.657 9.974 1656 15 9.857 0.562 9.994 1657 15 9.965 0.559 9.990 1658 15 10.408 0.707 9.945 1659 15 9.665 0.432 9.846 1660 15 9.766 0.738 9.725 1661 16 9.787 0.513 9.606 1662 16 9.143 0.664 9.518 1663 16 8.653 0.628 9.502 1664 16 10.274 0.938 9.540 1665 16 10.116 0.844 9.536 1666 17 9.383 0.877 9.466 1667 16 9.154 0.628 9.379 1668 16 8.974 0.620 9.327 1669 16 9.292 0.625 9.326 1670 16 9.318 0.618 9.351 1671 16 10.146 0.556 9.361 1672 16 9.003 0.682 9.331 1673 16 9.082 0.556 9.311 1674 16 9.532 0.578 9.328 1675 16 8.808 0.632 9.384 1676 16 9.366 0.750 9.481 1677 16 10.401 0.878 9.562 1678 16 9.512 0.757 9.567 1679 16 9.626 0.597 9.516 1680 16 9.207 0.580 9.451 1681 17 9.052 0.574 9.415 1682 17 9.181 0.521 9.422 1683 17 10.023 0.677 9.434 1684 17 9.702 0.744 9.392 1685 17 9.509 0.747 9.304 1686 17 8.706 0.661 9.228 1687 17 9.009 0.611 9.237 1688 17 8.437 0.586 9.352 1689 17 10.888 0.804 9.531 1690 17 9.515 0.586 9.667 1691 17 9.100 0.578 9.766 1692 17 10.376 0.688 9.837 1693 17 10.356 0.623 9.828 1694 17 9.836 0.601 9.741 1695 17 8.987 0.526 9.649 1696 17 9.440 0.672 9.632 1697 17 9.258 0.682 9.698 1698 17 10.809 0.797 9.807 1699 16 9.548 0.588 9.892 1700 16 10.080 0.687 9.973 1701 16 9.178 0.619 10.061 1702 16 10.099 0.576 10.147 1703 16 12.268 0.647 10.131 1704 17 9.467 0.785 9.943 1705 17 8.983 0.644 9.718 1706 17 8.695 0.644 9.580 1707 18 10.871 0.675 9.541 1708 18 8.903 0.572 9.536 1709 18 9.576 0.658 9.600 1710 18 9.268 0.675 9.736 1711 18 10.406 0.641 9.914 1712 18 9.900 0.678 10.071 1713 18 10.261 0.663 10.174 1714 18 10.318 0.674 10.191 1715 18 10.597 0.706 10.098 1716 18 9.850 0.610 9.895 1717 18 9.683 0.602 9.642 1718 18 9.141 0.582 9.404 1719 18 9.170 0.608 9.245 1720 18 8.613 0.607 9.197 1721 18 9.607 0.714 9.266 1722 18 9.364 0.618 9.403 1723 18 9.569 0.718 9.578 1724 18 9.338 0.545 9.765 1725 18 10.302 0.565 9.925 1726 18 10.493 0.637 9.987 1727 18 10.900 0.535 9.918 1728 18 8.557 0.546 9.773 1729 18 9.175 0.574 9.693 1730 17 9.994 0.496 9.703 1731 17 9.780 0.604 9.750 1732 17 10.447 0.666 9.798 1733 18 9.377 0.632 9.842 1734 18 9.384 0.688 9.928 1735 17 9.820 0.754 10.061 1736 17 11.347 0.865 10.168 1737 17 9.723 0.749 10.169 1738 17 10.485 0.793 10.089 1739 17 9.644 0.671 9.946 1740 17 10.162 0.758 9.781 1741 17 9.431 0.676 9.624 1742 17 9.022 0.687 9.530 1743 17 9.349 0.764 9.532 1744 17 10.061 0.721 9.602 1745 17 9.415 0.674 9.688 1746 17 10.127 0.586 9.776 1747 18 9.977 0.625 9.846 1748 18 9.614 0.525 9.909 1749 18 10.178 0.718 9.991 1750 18 9.882 0.677 10.097 1751 18 10.062 0.545 10.236 1752 18 10.656 0.590 10.397 1753 18 10.439 0.666 10.552 1754 18 10.813 0.578 10.690 1755 18 11.210 0.673 10.801 1756 18 9.941 0.536 10.894 1757 18 11.667 0.563 10.999 1758 18 11.209 0.646 11.076 1759 18 10.226 0.627 11.132 1760 18 11.496 0.656 11.182 1761 18 12.149 0.597 11.160 1762 18 10.789 0.745 11.032 1763 18 10.751 0.632 10.871 1764 18 9.946 0.577 10.746 1765 18 10.227 0.770 10.687 1766 18 11.989 0.598 10.627 1767 18 10.925 0.624 10.464 1768 18 9.617 0.560 10.238 1769 18 9.506 0.681 10.056 1770 18 10.704 0.526 9.960 1771 18 10.010 0.797 9.935 1772 18 8.280 0.539 10.035 1773 19 11.172 0.614 10.291 1774 19 10.317 0.495 10.580 1775 19 11.254 0.658 10.816 1776 19 12.182 0.639 10.922 1777 19 9.734 0.519 10.891 1778 19 10.359 0.530 10.829 1779 20 11.572 0.608 10.740 1780 20 10.646 0.617 10.574 1781 20 10.122 0.539 10.354 1782 20 10.261 0.495 10.128 1783 21 9.699 0.409 9.925 1784 21 9.750 0.441 9.776 1785 21 9.612 0.540 9.690 1786 23 9.954 0.467 9.667 1787 23 8.984 0.465 9.704 1788 23 9.854 0.532 9.810 1789 23 11.315 0.601 9.925 1790 21 8.760 0.539 10.011 1791 23 10.246 0.576 10.146 1792 24 10.155 0.317 10.314 1793 24 10.587 0.376 10.473 1794 24 11.115 0.474 10.571 1795 24 10.532 0.391 10.578 1796 26 10.325 0.462 10.520 1797 26 10.121 0.349 10.431 1798 26 10.864 0.452 10.312 1799 27 10.517 0.429 10.143 1800 28 9.314 0.332 9.963 1801 28 10.012 0.404 9.845 1802 29 9.086 0.341 9.811 1803 29 9.805 0.360 9.865 1804 29 10.749 0.445 9.937 1805 29 9.803 0.401 9.952 1806 30 9.972 0.400 9.918 1807 31 9.443 0.324 9.846 1808 32 10.592 0.352 9.740 1809 34 9.453 0.261 9.585 1810 34 9.020 0.375 9.440 1811 34 9.710 0.403 9.365 1812 34 8.220 0.257 9.377 1813 34 9.943 0.357 9.492 1814 34 10.083 0.436 9.624 1815 35 9.949 0.368 9.716 1816 35 9.500 0.326 9.776 1817 36 9.421 0.308 9.844 1818 36 9.546 0.305 9.923 1819 36 11.351 0.394 9.957 1820 36 10.410 0.354 9.874 1821 36 8.094 0.277 9.754 1822 37 9.922 0.470 9.723 1823 37 10.058 0.442 9.755 1824 37 10.001 0.352 9.809 1825 39 9.138 0.336 9.887 1826 41 10.705 0.342 9.998 1827 42 9.753 0.282 10.096 1828 43 10.541 0.368 10.182 1829 44 9.811 0.306 10.248 1830 44 9.497 0.329 10.303 1831 45 12.058 0.404 10.298 1832 46 9.931 0.336 10.137 1833 47 9.659 0.348 9.878 1834 47 9.471 0.353 9.599 1835 47 9.314 0.330 9.347 1836 48 9.141 0.259 9.148 1837 48 8.985 0.330 9.022 1838 48 9.013 0.314 8.985 1839 48 8.852 0.340 9.052 1840 48 9.076 0.368 9.232 1841 48 9.111 0.379 9.513 1842 48 10.219 0.323 9.849 1843 48 9.970 0.350 10.158 1844 48 11.199 0.420 10.382 1845 48 10.002 0.363 10.473 1846 48 10.914 0.337 10.453 1847 48 10.855 0.326 10.325 1848 49 9.897 0.264 10.144 1849 49 8.892 0.281 10.026 1850 49 10.467 0.361 10.042 1851 49 9.334 0.281 10.154 1852 49 10.793 0.329 10.315 1853 49 10.713 0.284 10.417 1854 50 11.523 0.350 10.388 1855 50 10.317 0.358 10.229 1856 50 8.441 0.260 10.068 1857 50 9.842 0.327 10.031 1858 50 11.072 0.386 10.069 1859 50 9.228 0.315 10.100 1860 50 10.566 0.361 10.119 1861 50 10.769 0.327 10.066 1862 50 9.644 0.283 9.924 1863 50 9.801 0.307 9.754 1864 50 8.987 0.291 9.607 1865 50 9.753 0.297 9.515 1866 50 9.676 0.336 9.452 1867 50 9.027 0.296 9.409 1868 50 9.982 0.350 9.394 1869 50 8.873 0.284 9.398 1870 50 9.721 0.388 9.450 1871 50 8.759 0.294 9.544 1872 50 10.009 0.354 9.672 1873 50 10.701 0.326 9.757 1874 50 9.063 0.306 9.763 1875 50 9.970 0.330 9.744 1876 50 10.091 0.304 9.707 1877 50 8.551 0.250 9.680 1878 50 10.000 0.331 9.703 1879 50 10.787 0.370 9.719 1880 50 9.359 0.302 9.699 1881 50 8.159 0.254 9.725 1882 50 10.020 0.296 9.830 1883 50 11.597 0.379 9.879 1884 50 10.019 0.329 9.764 1885 50 8.272 0.209 9.564 1886 50 10.072 0.367 9.396 1887 50 8.768 0.269 9.268 1888 50 8.863 0.263 9.211 1889 50 9.638 0.225 9.214 1890 50 9.906 0.231 9.226 1891 50 9.062 0.241 9.249 1892 50 8.213 0.222 9.362 1893 50 9.192 0.279 9.615 1894 50 10.692 0.386 9.918 1895 50 10.672 0.368 10.130 1896 50 9.851 0.336 10.195 1897 50 11.027 0.345 10.121 1898 50 9.861 0.297 9.920 1899 50 8.398 0.258 9.688 1900 50 9.372 0.244 9.503 1901 50 11.220 0.370 9.307 1902 50 8.167 0.256 9.041 1903 50 8.776 0.296 8.821 1904 50 7.990 0.241 8.721 1905 50 8.780 0.347 8.766 1906 50 9.052 0.295 8.908 1907 50 9.146 0.272 9.082 1908 51 9.590 0.283 9.242 1909 51 9.074 0.260 9.361 1910 51 9.990 0.340 9.441 1911 51 9.208 0.332 9.478 1912 51 9.472 0.307 9.513 1913 51 9.536 0.371 9.569 1914 51 9.638 0.326 9.659 1915 52 9.669 0.292 9.788 1916 52 9.544 0.268 9.960 1917 52 10.322 0.345 10.150 1918 52 11.106 0.289 10.294 1919 52 9.906 0.338 10.356 1920 52 10.585 0.319 10.376 1921 52 10.213 0.369 10.376 1922 52 10.908 0.405 10.382 1923 52 8.883 0.304 10.423 1924 52 11.008 0.405 10.538 1925 53 10.884 0.321 10.632 1926 53 11.334 0.372 10.625 1927 53 11.020 0.366 10.495 1928 54 9.336 0.315 10.311 1929 54 9.691 0.313 10.193 1930 54 11.310 0.356 10.159 1931 54 9.210 0.288 10.177 1932 54 9.880 0.335 10.300 1933 54 11.066 0.312 10.498 1934 54 11.355 0.355 10.686 1935 54 9.938 0.290 10.847 1936 54 10.277 0.410 11.023 1937 55 12.654 0.382 11.159 1938 55 11.264 0.303 11.138 1939 55 11.109 0.354 10.984 1940 55 10.708 0.328 10.775 1941 56 9.788 0.329 10.602 1942 56 10.709 0.316 10.533 1943 57 10.450 0.308 10.554 1944 57 10.155 0.285 10.644 1945 58 11.224 0.312 10.765 1946 60 11.050 0.266 10.836 1947 63 11.587 0.303 10.817 1948 62 10.232 0.233 10.721 1949 63 9.793 0.253 10.635 1950 64 11.462 0.291 10.595 1951 65 10.276 0.229 10.556 1952 66 9.984 0.256 10.536 1953 69 11.362 0.253 10.532 1954 71 10.278 0.232 10.497 1955 71 10.766 0.245 10.452 1956 71 10.041 0.223 10.423 1957 71 9.993 0.261 10.455 1958 73 10.429 0.277 10.548 1959 73 10.753 0.272 10.643 1960 73 11.538 0.320 10.656 1961 73 10.772 0.265 10.538 1962 73 9.720 0.229 10.338 1963 75 10.672 0.284 10.138 1964 75 9.546 0.206 9.974 1965 76 9.357 0.205 9.913 1966 76 10.325 0.248 9.973 1967 76 10.002 0.222 10.117 1968 76 9.404 0.213 10.324 1969 76 11.619 0.275 10.547 1970 76 11.242 0.243 10.669 1971 76 10.109 0.258 10.675 1972 76 10.856 0.319 10.623 1973 76 10.507 0.238 10.532 1974 76 10.731 0.249 10.431 1975 76 9.556 0.219 10.359 1976 76 10.578 0.250 10.368 1977 76 10.151 0.247 10.436 1978 70 10.411 0.257 10.536 1979 70 10.626 0.234 10.613 1980 69 12.014 0.283 10.595 1981 59 9.998 0.236 10.440 1982 59 9.997 0.232 10.245 1983 59 10.053 0.247 10.093 1984 59 9.372 0.268 10.027 1985 59 10.038 0.243 10.060 1986 59 11.118 0.299 10.140 1987 59 9.378 0.208 10.219 1988 59 10.253 0.239 10.326 1989 59 10.799 0.255 10.429 1990 59 10.941 0.314 10.477 1991 59 10.450 0.297 10.463 1992 59 10.150 0.234 10.444 1993 59 9.632 0.219 10.473 1994 59 11.522 0.304 10.557 1995 59 10.200 0.251 10.627 1996 59 10.550 0.300 10.687 1997 59 11.998 0.284 10.714 1998 59 9.942 0.219 10.694 1999 59 10.405 0.253 10.725 2000 59 10.883 0.250 10.850 2001 59 10.025 0.244 11.061 2002 46 12.149 0.340 11.319 2003 40 12.259 0.331 11.497 2004 34 11.349 0.361 11.549 2005 30 11.046 0.426 11.526 2006 14 12.034 0.510 11.462 2007 14 11.166 0.447 11.355 2008 14 10.609 0.493 11.242 2009 5 11.865 0.423 11.139 2010 5 10.738 0.449 11.013