# 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-trw.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: Tornetrask2013TRWtemp # Earliest_Year: -39 # 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 width 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 width 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 -39 1 11.757 0.000 10.802 -38 2 9.505 0.000 10.418 -37 2 9.913 0.000 10.160 -36 2 8.950 0.000 10.051 -35 2 11.509 0.000 10.036 -34 2 10.675 0.000 9.980 -33 2 9.555 0.000 9.889 -32 2 9.289 0.000 9.869 -31 2 9.475 0.000 9.998 -30 2 10.419 0.000 10.267 -29 2 10.477 0.000 10.606 -28 2 11.112 0.000 10.941 -27 2 11.972 0.000 11.193 -26 2 11.606 0.000 11.319 -25 2 11.158 0.000 11.367 -24 2 10.501 0.000 11.432 -23 2 11.449 0.000 11.568 -22 2 12.474 0.000 11.725 -21 2 11.987 0.000 11.836 -20 3 11.480 0.000 11.912 -19 4 11.815 0.236 11.988 -18 5 11.961 0.276 12.053 -17 5 12.218 0.447 12.065 -16 5 12.194 0.476 11.973 -15 6 12.851 0.694 11.742 -14 6 10.278 0.764 11.396 -13 7 11.344 0.816 11.050 -12 7 11.207 0.380 10.739 -11 7 9.520 0.726 10.511 -10 7 10.169 0.520 10.446 -9 7 10.706 0.269 10.524 -8 7 10.991 0.375 10.678 -7 7 10.727 0.437 10.857 -6 7 10.647 0.293 11.048 -5 7 11.824 0.250 11.219 -4 7 11.116 0.409 11.310 -3 8 11.718 0.228 11.309 -2 8 11.407 0.445 11.209 -1 8 11.128 0.489 11.045 0 8 10.414 0.833 10.888 1 8 10.567 0.691 10.809 2 8 10.583 0.591 10.823 3 8 10.456 0.564 10.906 4 8 11.923 0.471 10.988 5 9 10.785 0.495 10.972 6 9 11.300 0.456 10.839 7 10 10.882 0.617 10.589 8 10 9.890 0.734 10.273 9 10 10.004 0.689 9.973 10 10 9.318 0.827 9.740 11 10 9.568 0.852 9.610 12 10 9.498 0.447 9.570 13 10 9.624 0.317 9.594 14 10 9.667 0.368 9.646 15 10 9.801 0.494 9.691 16 10 10.155 0.542 9.704 17 10 9.591 0.344 9.679 18 10 9.178 0.325 9.659 19 10 9.889 0.395 9.677 20 10 9.751 0.385 9.721 21 10 9.703 0.573 9.788 22 10 9.793 0.744 9.879 23 10 10.235 0.854 9.990 24 10 9.972 0.577 10.107 25 10 10.079 0.590 10.238 26 10 10.210 0.523 10.381 27 11 10.957 0.519 10.506 28 11 10.771 0.531 10.575 29 11 10.623 0.497 10.598 30 11 10.078 0.516 10.617 31 12 10.614 0.559 10.667 32 12 10.964 0.442 10.727 33 12 10.753 0.463 10.764 34 12 10.805 0.490 10.766 35 12 10.830 0.410 10.728 36 12 10.525 0.471 10.651 37 12 10.733 0.565 10.545 38 12 10.540 0.592 10.413 39 12 10.147 0.474 10.279 40 12 9.782 0.568 10.181 41 12 10.260 0.466 10.137 42 13 10.161 0.498 10.123 43 13 10.438 0.569 10.117 44 13 9.934 0.412 10.114 45 13 9.958 0.460 10.138 46 13 10.268 0.545 10.199 47 14 10.163 0.650 10.285 48 14 10.240 0.816 10.381 49 14 10.802 0.892 10.460 50 15 10.678 0.857 10.487 51 14 10.131 0.943 10.460 52 14 10.623 0.818 10.401 53 14 10.372 0.814 10.306 54 14 10.013 0.707 10.189 55 14 10.192 0.641 10.071 56 14 9.841 0.751 9.959 57 15 10.062 0.601 9.867 58 15 9.488 0.618 9.803 59 15 10.105 0.542 9.785 60 15 9.290 0.687 9.811 61 16 9.889 0.757 9.890 62 16 9.994 0.725 9.986 63 16 10.431 0.575 10.050 64 16 10.345 0.564 10.043 65 16 9.917 0.558 9.974 66 16 9.752 0.557 9.890 67 16 9.608 0.520 9.840 68 16 9.539 0.533 9.847 69 16 9.843 0.563 9.902 70 16 10.341 0.632 9.954 71 16 10.146 0.559 9.949 72 16 9.749 0.498 9.876 73 16 10.127 0.545 9.753 74 16 9.190 0.567 9.598 75 16 9.784 0.588 9.454 76 17 8.965 0.645 9.341 77 16 9.151 0.621 9.291 78 16 9.322 0.624 9.305 79 15 9.477 0.710 9.356 80 15 9.080 0.598 9.421 81 16 9.959 0.606 9.481 82 15 9.525 0.612 9.497 83 15 9.664 0.613 9.472 84 15 9.445 0.484 9.427 85 15 8.958 0.476 9.407 86 15 9.322 0.585 9.452 87 15 9.484 0.690 9.550 88 15 9.923 0.740 9.665 89 15 9.884 0.661 9.756 90 15 10.117 0.592 9.810 91 15 9.161 0.524 9.842 92 15 10.161 0.511 9.885 93 16 9.900 0.562 9.918 94 16 10.209 0.584 9.927 95 16 9.595 0.632 9.913 96 15 10.007 0.570 9.898 97 15 9.855 0.513 9.879 98 16 9.777 0.539 9.857 99 16 10.033 0.542 9.831 100 16 9.914 0.513 9.797 101 16 9.617 0.475 9.770 102 17 9.475 0.505 9.783 103 17 9.986 0.466 9.844 104 18 10.027 0.499 9.931 105 18 9.749 0.529 10.031 106 18 10.189 0.546 10.136 107 19 10.563 0.487 10.214 108 19 10.213 0.538 10.240 109 19 10.161 0.539 10.226 110 19 10.427 0.544 10.189 111 19 9.817 0.528 10.143 112 19 9.950 0.543 10.119 113 19 10.586 0.525 10.113 114 19 9.719 0.483 10.111 115 19 10.055 0.429 10.131 116 20 10.427 0.448 10.160 117 19 9.912 0.540 10.176 118 19 10.520 0.559 10.175 119 19 10.088 0.484 10.141 120 19 9.997 0.541 10.086 121 19 9.886 0.578 10.022 122 20 10.203 0.960 9.949 123 20 10.162 0.574 9.856 124 19 9.348 0.640 9.763 125 19 9.531 0.660 9.716 126 19 9.730 0.635 9.725 127 19 9.983 0.739 9.765 128 20 9.854 0.680 9.816 129 21 9.970 0.637 9.882 130 22 9.342 0.591 9.976 131 22 10.076 0.641 10.107 132 22 11.024 0.581 10.220 133 23 10.445 0.564 10.258 134 23 10.219 0.501 10.255 135 23 9.675 0.438 10.284 136 23 10.171 0.386 10.402 137 23 10.705 0.404 10.595 138 23 10.528 0.365 10.814 139 23 11.502 0.420 11.008 140 23 11.239 0.443 11.111 141 23 10.986 0.478 11.103 142 23 11.263 0.469 10.989 143 23 10.997 0.507 10.773 144 24 10.450 0.455 10.489 145 24 9.882 0.476 10.198 146 23 9.716 0.544 9.960 147 23 9.776 0.539 9.790 148 23 9.754 0.523 9.671 149 23 9.901 0.503 9.580 150 23 9.325 0.545 9.512 151 22 9.460 0.507 9.491 152 21 9.419 0.564 9.529 153 21 9.461 0.428 9.629 154 21 9.751 0.367 9.776 155 21 10.279 0.442 9.934 156 21 10.027 0.706 10.069 157 21 10.144 0.802 10.182 158 21 10.215 0.571 10.275 159 22 10.170 0.446 10.347 160 23 10.600 0.372 10.383 161 23 10.854 0.361 10.352 162 23 10.039 0.350 10.258 163 23 9.942 0.401 10.155 164 24 10.031 0.414 10.081 165 24 10.116 0.392 10.045 166 24 9.755 0.462 10.048 167 24 10.345 0.458 10.090 168 24 9.798 0.524 10.147 169 25 10.264 0.592 10.207 170 27 10.769 0.588 10.229 171 27 10.098 0.456 10.181 172 27 9.906 0.446 10.089 173 27 10.206 0.396 9.978 174 27 10.003 0.358 9.859 175 27 9.779 0.324 9.764 176 28 9.170 0.438 9.750 177 28 9.296 0.455 9.859 178 28 10.366 0.360 10.062 179 28 10.575 0.420 10.264 180 28 10.767 0.406 10.395 181 28 10.110 0.597 10.433 182 30 10.894 0.423 10.397 183 31 10.299 0.399 10.294 184 32 9.803 0.464 10.173 185 31 9.965 0.441 10.088 186 32 10.190 0.377 10.052 187 32 9.773 0.470 10.058 188 33 10.176 0.404 10.104 189 34 10.055 0.404 10.163 190 34 10.517 0.410 10.204 191 34 10.262 0.346 10.198 192 35 10.308 0.394 10.145 193 35 9.802 0.396 10.064 194 35 10.132 0.358 9.987 195 35 9.545 0.345 9.926 196 36 10.152 0.384 9.890 197 36 9.836 0.335 9.861 198 36 9.902 0.432 9.837 199 38 9.834 0.378 9.823 200 40 9.676 0.370 9.828 201 40 10.092 0.326 9.860 202 38 9.556 0.331 9.921 203 38 9.906 0.395 10.021 204 38 10.403 0.346 10.134 205 39 10.307 0.404 10.221 206 39 10.452 0.351 10.272 207 39 10.234 0.358 10.294 208 41 10.127 0.343 10.317 209 42 10.151 0.318 10.361 210 41 10.828 0.291 10.422 211 41 10.017 0.289 10.479 212 42 10.597 0.286 10.536 213 42 10.683 0.302 10.559 214 42 10.920 0.304 10.515 215 42 10.299 0.298 10.393 216 41 10.215 0.283 10.226 217 41 10.103 0.284 10.049 218 41 9.412 0.283 9.892 219 41 10.137 0.290 9.780 220 41 9.789 0.320 9.699 221 41 9.364 0.315 9.659 222 42 9.400 0.363 9.685 223 41 10.007 0.353 9.765 224 44 9.669 0.305 9.853 225 44 10.079 0.306 9.921 226 44 10.392 0.276 9.929 227 45 9.893 0.543 9.861 228 45 9.177 0.360 9.754 229 45 10.159 0.286 9.647 230 45 9.295 0.318 9.532 231 46 9.185 0.328 9.432 232 46 9.534 0.329 9.353 233 46 9.316 0.315 9.276 234 46 9.462 0.295 9.193 235 47 9.325 0.280 9.112 236 46 8.564 0.321 9.076 237 46 8.602 0.405 9.144 238 46 9.384 0.349 9.312 239 44 9.824 0.345 9.511 240 44 9.947 0.348 9.671 241 44 9.845 0.319 9.764 242 45 9.834 0.293 9.801 243 45 9.461 0.293 9.812 244 45 9.907 0.271 9.819 245 45 9.964 0.282 9.815 246 45 10.021 0.254 9.794 247 45 9.214 0.286 9.774 248 45 10.037 0.274 9.787 249 45 9.682 0.264 9.820 250 45 9.769 0.286 9.865 251 45 9.915 0.237 9.906 252 45 10.423 0.258 9.913 253 45 9.953 0.285 9.869 254 45 9.255 0.307 9.810 255 45 9.804 0.311 9.780 256 45 9.984 0.338 9.770 257 45 9.935 0.312 9.762 258 46 9.403 0.311 9.769 259 44 9.862 0.303 9.814 260 44 9.704 0.294 9.891 261 44 9.825 0.305 9.981 262 43 10.416 0.286 10.046 263 43 10.194 0.289 10.036 264 43 10.260 0.318 9.937 265 44 9.150 0.358 9.773 266 44 10.139 0.323 9.586 267 44 9.429 0.340 9.379 268 43 8.739 0.401 9.196 269 43 9.207 0.370 9.088 270 43 8.246 0.459 9.065 271 43 9.573 0.312 9.114 272 43 9.507 0.323 9.153 273 44 9.411 0.358 9.137 274 44 8.919 0.334 9.076 275 44 8.872 0.339 9.011 276 44 8.981 0.364 8.974 277 44 9.004 0.362 8.977 278 44 8.936 0.347 9.030 279 44 9.084 0.380 9.143 280 44 9.376 0.344 9.316 281 44 9.243 0.352 9.541 282 44 9.659 0.330 9.808 283 44 10.282 0.304 10.074 284 44 10.814 0.286 10.277 285 44 10.091 0.283 10.388 286 43 10.308 0.261 10.430 287 42 10.616 0.243 10.408 288 41 10.747 0.291 10.311 289 41 10.019 0.268 10.157 290 41 9.468 0.295 10.013 291 41 9.987 0.297 9.927 292 41 10.192 0.321 9.888 293 41 9.561 0.369 9.887 294 41 9.742 0.380 9.938 295 40 10.141 0.353 10.025 296 39 10.181 0.322 10.105 297 39 10.184 0.348 10.144 298 39 10.242 0.399 10.120 299 39 10.242 0.326 10.023 300 39 9.675 0.347 9.857 301 39 9.919 0.281 9.653 302 39 9.291 0.406 9.432 303 38 9.287 0.357 9.235 304 38 8.617 0.486 9.096 305 38 9.217 0.392 9.041 306 38 9.078 0.379 9.050 307 38 8.984 0.487 9.108 308 38 9.233 0.428 9.209 309 37 9.443 0.367 9.330 310 37 9.398 0.391 9.454 311 38 9.317 0.450 9.573 312 38 9.890 0.414 9.672 313 38 10.185 0.399 9.710 314 38 9.477 0.461 9.677 315 37 9.732 0.451 9.612 316 36 9.147 0.434 9.548 317 36 9.539 0.460 9.516 318 36 9.581 0.455 9.507 319 36 9.304 0.480 9.509 320 36 9.607 0.642 9.511 321 36 9.715 0.421 9.485 322 35 9.628 0.389 9.413 323 35 9.188 0.446 9.311 324 35 9.015 0.401 9.219 325 35 9.137 0.308 9.164 326 35 9.079 0.389 9.148 327 35 9.205 0.476 9.163 328 35 9.561 0.434 9.195 329 35 8.613 0.524 9.242 330 35 9.597 0.404 9.324 331 34 9.186 0.346 9.413 332 32 9.648 0.375 9.487 333 32 9.743 0.441 9.510 334 32 9.698 0.396 9.465 335 33 9.295 0.437 9.370 336 32 8.775 0.510 9.269 337 32 9.178 0.522 9.192 338 32 9.609 0.438 9.118 339 32 8.970 0.531 9.021 340 33 8.652 0.482 8.927 341 34 8.853 0.628 8.861 342 34 9.058 0.513 8.817 343 34 8.655 0.602 8.789 344 34 8.730 0.641 8.792 345 34 8.857 0.500 8.830 346 34 8.772 0.605 8.900 347 34 9.055 0.559 8.995 348 33 9.238 0.560 9.100 349 33 9.202 0.731 9.202 350 33 8.987 0.677 9.307 351 34 9.633 0.607 9.417 352 35 9.592 0.641 9.503 353 34 9.729 0.538 9.555 354 34 9.467 0.482 9.582 355 33 9.588 0.505 9.609 356 32 9.514 0.506 9.655 357 32 9.689 0.508 9.728 358 31 9.598 0.486 9.820 359 31 10.216 0.505 9.912 360 32 10.086 0.394 9.967 361 33 10.050 0.469 9.976 362 33 9.831 0.455 9.954 363 32 9.663 0.478 9.923 364 32 10.285 0.440 9.886 365 32 9.697 0.455 9.828 366 31 9.663 0.466 9.765 367 31 9.705 0.434 9.706 368 31 9.996 0.348 9.647 369 31 9.342 0.469 9.589 370 31 9.610 0.454 9.565 371 31 9.358 0.570 9.590 372 31 9.209 0.477 9.674 373 31 10.303 0.428 9.789 374 32 10.052 0.389 9.868 375 31 9.817 0.419 9.890 376 31 9.829 0.445 9.865 377 31 9.846 0.542 9.798 378 30 9.968 0.452 9.690 379 29 9.318 0.574 9.554 380 29 9.533 0.488 9.426 381 29 9.187 0.424 9.328 382 29 9.200 0.478 9.283 383 29 9.177 0.437 9.301 384 29 9.323 0.440 9.375 385 29 9.900 0.462 9.483 386 29 9.447 0.543 9.603 387 29 9.323 0.490 9.754 388 29 9.890 0.489 9.938 389 28 10.339 0.442 10.103 390 28 10.848 0.428 10.192 391 28 9.903 0.361 10.187 392 28 10.225 0.298 10.133 393 28 9.984 0.352 10.071 394 28 9.842 0.299 10.037 395 28 10.280 0.383 10.059 396 28 9.967 0.359 10.145 397 29 9.909 0.413 10.319 398 29 10.512 0.339 10.580 399 29 10.810 0.386 10.878 400 29 11.610 0.494 11.145 401 30 11.609 0.359 11.314 402 31 11.373 0.437 11.373 403 31 11.329 0.436 11.355 404 32 11.392 0.401 11.297 405 32 10.314 0.361 11.237 406 32 11.783 0.398 11.198 407 32 11.294 0.383 11.125 408 32 10.746 0.466 11.003 409 32 10.867 0.568 10.843 410 31 10.968 0.518 10.637 411 32 10.579 0.406 10.379 412 32 10.160 0.374 10.103 413 32 9.166 0.435 9.876 414 32 9.767 0.405 9.754 415 33 9.690 0.448 9.724 416 32 9.939 0.435 9.756 417 31 9.510 0.499 9.818 418 31 9.923 0.471 9.891 419 30 10.713 0.501 9.928 420 30 10.118 0.482 9.900 421 30 8.930 0.509 9.863 422 30 10.036 0.389 9.894 423 30 10.295 0.426 9.981 424 30 9.801 0.421 10.113 425 30 10.272 0.395 10.303 426 30 10.464 0.387 10.544 427 31 10.594 0.376 10.812 428 32 10.809 0.385 11.069 429 32 12.027 0.389 11.246 430 32 11.869 0.362 11.261 431 32 10.945 0.352 11.122 432 32 10.520 0.381 10.918 433 32 10.341 0.361 10.722 434 32 10.756 0.424 10.553 435 32 10.710 0.349 10.384 436 34 10.004 0.326 10.210 437 34 10.061 0.354 10.058 438 34 10.167 0.346 9.943 439 35 9.646 0.367 9.879 440 35 9.655 0.374 9.899 441 36 9.898 0.379 10.011 442 36 10.444 0.348 10.189 443 39 10.197 0.372 10.396 444 39 10.812 0.320 10.610 445 39 10.861 0.313 10.805 446 39 11.125 0.313 10.970 447 40 10.938 0.298 11.107 448 39 10.659 0.285 11.236 449 40 11.737 0.339 11.344 450 40 11.740 0.368 11.366 451 41 11.405 0.356 11.272 452 42 10.982 0.379 11.085 453 45 11.320 0.318 10.848 454 46 9.746 0.381 10.610 455 46 10.102 0.385 10.443 456 46 10.615 0.330 10.334 457 45 10.668 0.331 10.216 458 44 10.404 0.317 10.058 459 45 9.250 0.347 9.891 460 46 9.517 0.363 9.775 461 46 10.147 0.284 9.709 462 47 9.529 0.314 9.658 463 47 9.692 0.336 9.623 464 47 9.414 0.330 9.603 465 48 9.558 0.334 9.599 466 46 9.931 0.371 9.591 467 45 9.528 0.440 9.559 468 45 9.413 0.377 9.516 469 45 9.538 0.362 9.478 470 46 9.520 0.405 9.453 471 46 9.121 0.370 9.450 472 46 9.445 0.351 9.482 473 46 9.861 0.382 9.527 474 46 9.549 0.366 9.559 475 46 9.395 0.415 9.586 476 46 9.351 0.330 9.617 477 47 10.008 0.338 9.638 478 46 10.066 0.414 9.607 479 46 9.432 0.399 9.528 480 46 9.063 0.433 9.462 481 46 9.282 0.399 9.457 482 46 9.493 0.413 9.516 483 46 9.824 0.383 9.612 484 46 9.670 0.405 9.716 485 47 9.936 0.385 9.819 486 47 9.745 0.405 9.918 487 48 10.501 0.447 10.015 488 47 9.903 0.367 10.109 489 47 9.940 0.350 10.240 490 47 10.082 0.362 10.432 491 48 10.923 0.369 10.664 492 48 10.836 0.324 10.875 493 45 11.307 0.353 11.024 494 44 11.310 0.342 11.077 495 45 10.812 0.394 11.036 496 44 11.658 0.372 10.929 497 44 10.164 0.438 10.785 498 44 10.207 0.400 10.687 499 44 10.632 0.389 10.661 500 44 10.636 0.414 10.663 501 44 11.204 0.366 10.637 502 42 10.456 0.407 10.535 503 42 10.543 0.406 10.367 504 42 10.438 0.426 10.153 505 42 9.588 0.497 9.936 506 42 9.526 0.473 9.787 507 42 9.375 0.462 9.739 508 43 9.921 0.463 9.779 509 43 9.785 0.453 9.856 510 44 10.321 0.364 9.920 511 44 10.066 0.385 9.929 512 45 9.754 0.372 9.882 513 45 10.023 0.427 9.802 514 45 9.696 0.422 9.706 515 45 9.314 0.422 9.634 516 47 9.255 0.408 9.618 517 47 9.814 0.376 9.649 518 47 9.969 0.376 9.677 519 47 9.754 0.376 9.667 520 47 9.571 0.402 9.619 521 47 10.075 0.419 9.551 522 47 8.681 0.403 9.489 523 47 9.402 0.409 9.495 524 46 9.734 0.382 9.553 525 46 9.770 0.455 9.627 526 46 9.754 0.444 9.696 527 46 9.680 0.440 9.763 528 47 9.728 0.400 9.838 529 47 9.917 0.352 9.919 530 46 9.989 0.367 9.994 531 46 10.127 0.393 10.045 532 46 10.007 0.346 10.056 533 46 10.085 0.381 10.020 534 46 10.086 0.387 9.926 535 46 10.375 0.409 9.774 536 44 8.669 0.440 9.598 537 45 9.088 0.433 9.476 538 45 10.015 0.450 9.392 539 45 9.276 0.461 9.284 540 45 9.259 0.428 9.143 541 46 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10.986 0.281 10.573 970 63 11.040 0.253 10.724 971 62 10.536 0.271 10.796 972 62 11.174 0.311 10.803 973 62 10.588 0.280 10.748 974 62 10.506 0.274 10.660 975 62 10.659 0.270 10.559 976 60 10.474 0.253 10.447 977 60 10.226 0.253 10.334 978 59 10.661 0.264 10.230 979 58 9.722 0.253 10.148 980 58 9.752 0.260 10.132 981 58 10.242 0.261 10.181 982 57 10.614 0.278 10.248 983 56 10.573 0.278 10.290 984 54 10.226 0.282 10.311 985 53 9.639 0.308 10.352 986 51 10.589 0.270 10.435 987 51 11.254 0.267 10.510 988 52 9.981 0.297 10.541 989 54 10.545 0.275 10.562 990 55 11.089 0.259 10.566 991 56 10.316 0.295 10.544 992 57 10.537 0.261 10.534 993 59 9.957 0.302 10.567 994 58 11.236 0.314 10.647 995 58 10.598 0.284 10.736 996 58 10.638 0.280 10.835 997 58 11.135 0.293 10.939 998 59 10.998 0.268 11.027 999 59 11.001 0.297 11.092 1000 59 11.543 0.289 11.125 1001 60 10.966 0.298 11.119 1002 61 11.056 0.331 11.104 1003 61 10.718 0.319 11.103 1004 61 11.122 0.314 11.122 1005 62 11.230 0.290 11.123 1006 62 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0.309 10.110 1043 56 10.560 0.309 10.189 1044 56 10.668 0.284 10.232 1045 55 10.467 0.311 10.210 1046 54 9.617 0.345 10.153 1047 54 10.027 0.307 10.117 1048 54 10.333 0.304 10.105 1049 54 9.930 0.272 10.104 1050 54 9.984 0.302 10.118 1051 54 10.399 0.383 10.134 1052 54 10.671 0.327 10.129 1053 55 9.674 0.310 10.116 1054 55 9.778 0.324 10.160 1055 57 10.123 0.279 10.288 1056 57 10.659 0.319 10.465 1057 56 10.727 0.350 10.640 1058 56 11.038 0.342 10.777 1059 56 10.970 0.329 10.861 1060 56 10.195 0.369 10.910 1061 56 11.153 0.322 10.940 1062 55 11.678 0.309 10.905 1063 55 10.593 0.323 10.778 1064 55 10.284 0.385 10.615 1065 55 10.340 0.287 10.466 1066 55 10.699 0.298 10.335 1067 55 10.064 0.286 10.216 1068 53 10.015 0.324 10.134 1069 53 9.862 0.353 10.102 1070 53 10.098 0.334 10.114 1071 53 10.455 0.374 10.133 1072 53 10.024 0.368 10.123 1073 53 10.183 0.354 10.079 1074 54 9.947 0.347 9.998 1075 55 9.971 0.361 9.881 1076 55 9.934 0.382 9.731 1077 56 9.418 0.375 9.562 1078 56 9.267 0.397 9.412 1079 56 9.429 0.427 9.300 1080 56 9.258 0.466 9.234 1081 56 8.967 0.527 9.229 1082 56 9.285 0.448 9.302 1083 56 9.560 0.461 9.441 1084 56 9.544 0.457 9.628 1085 57 10.040 0.394 9.856 1086 56 10.005 0.376 10.118 1087 56 10.130 0.323 10.419 1088 56 10.641 0.290 10.752 1089 55 11.579 0.339 11.071 1090 55 10.602 0.338 11.328 1091 54 11.907 0.322 11.503 1092 53 12.215 0.350 11.524 1093 54 11.532 0.354 11.364 1094 54 11.040 0.440 11.077 1095 55 10.513 0.387 10.756 1096 55 9.757 0.351 10.486 1097 55 10.649 0.321 10.307 1098 55 10.335 0.309 10.186 1099 55 9.886 0.322 10.111 1100 52 10.013 0.366 10.087 1101 51 10.160 0.357 10.099 1102 50 10.394 0.349 10.120 1103 50 9.801 0.382 10.135 1104 50 10.394 0.337 10.148 1105 51 10.044 0.351 10.145 1106 51 10.293 0.389 10.123 1107 51 10.011 0.342 10.083 1108 51 9.907 0.365 10.036 1109 51 10.518 0.361 9.988 1110 49 9.096 0.551 9.944 1111 49 10.261 0.354 9.937 1112 49 9.770 0.340 9.936 1113 48 10.199 0.332 9.916 1114 47 9.850 0.376 9.851 1115 47 9.889 0.342 9.740 1116 45 9.725 0.384 9.593 1117 45 9.215 0.404 9.440 1118 44 9.362 0.345 9.321 1119 43 8.993 0.359 9.258 1120 43 9.122 0.317 9.265 1121 42 9.332 0.345 9.325 1122 42 9.364 0.346 9.399 1123 42 9.915 0.369 9.445 1124 41 9.385 0.476 9.430 1125 41 9.110 0.528 9.368 1126 39 9.602 0.476 9.272 1127 38 9.321 0.453 9.138 1128 38 8.664 0.498 8.992 1129 38 8.981 0.437 8.882 1130 38 8.396 0.407 8.827 1131 38 8.957 0.328 8.836 1132 37 9.021 0.348 8.880 1133 38 8.669 0.428 8.937 1134 37 9.104 0.450 8.993 1135 37 9.329 0.359 9.012 1136 38 9.134 0.380 8.975 1137 38 8.815 0.467 8.899 1138 38 8.671 0.420 8.825 1139 38 8.533 0.392 8.785 1140 37 8.788 0.356 8.786 1141 37 9.061 0.358 8.806 1142 36 8.873 0.331 8.822 1143 34 8.772 0.384 8.840 1144 34 8.780 0.455 8.874 1145 34 8.889 0.408 8.933 1146 34 8.952 0.339 9.010 1147 33 9.082 0.457 9.092 1148 33 9.362 0.460 9.158 1149 33 9.332 0.413 9.189 1150 34 9.074 0.487 9.190 1151 34 9.133 0.519 9.186 1152 35 9.228 0.489 9.189 1153 35 9.292 0.430 9.205 1154 33 8.936 0.484 9.246 1155 33 9.525 0.493 9.325 1156 33 9.316 0.388 9.430 1157 32 9.664 0.422 9.558 1158 32 9.682 0.417 9.705 1159 32 9.736 0.501 9.870 1160 31 10.031 0.423 10.054 1161 31 10.345 0.377 10.237 1162 30 10.361 0.337 10.401 1163 30 10.521 0.409 10.536 1164 30 10.762 0.369 10.628 1165 30 10.981 0.370 10.667 1166 29 10.467 0.447 10.663 1167 30 10.311 0.408 10.657 1168 29 10.827 0.391 10.670 1169 28 10.827 0.382 10.684 1170 25 10.627 0.380 10.693 1171 25 10.513 0.371 10.710 1172 25 10.584 0.527 10.737 1173 24 11.198 0.414 10.751 1174 24 10.321 0.453 10.720 1175 24 11.248 0.500 10.644 1176 23 10.530 0.460 10.509 1177 23 9.956 0.520 10.353 1178 23 10.282 0.537 10.223 1179 23 9.848 0.561 10.124 1180 24 10.429 0.526 10.053 1181 24 10.052 0.566 9.988 1182 24 9.394 0.576 9.941 1183 24 10.163 0.513 9.927 1184 24 10.195 0.522 9.909 1185 24 9.888 0.540 9.872 1186 26 9.611 0.443 9.835 1187 25 9.700 0.411 9.821 1188 25 10.215 0.443 9.825 1189 25 9.560 0.523 9.836 1190 25 9.664 0.499 9.872 1191 25 9.905 0.414 9.928 1192 25 10.272 0.404 9.968 1193 25 10.072 0.377 9.958 1194 22 9.826 0.402 9.896 1195 21 9.775 0.554 9.799 1196 22 9.835 0.422 9.679 1197 22 9.738 0.476 9.547 1198 23 8.797 0.669 9.435 1199 23 9.621 0.528 9.384 1200 22 9.308 0.549 9.376 1201 22 9.359 0.590 9.404 1202 22 9.286 0.471 9.455 1203 22 9.586 0.468 9.508 1204 22 9.874 0.526 9.523 1205 22 9.607 0.506 9.474 1206 21 9.523 0.573 9.378 1207 21 8.977 0.533 9.276 1208 21 9.069 0.442 9.221 1209 21 9.293 0.390 9.237 1210 21 8.744 0.446 9.322 1211 21 9.708 0.461 9.464 1212 21 10.257 0.374 9.597 1213 21 9.536 0.504 9.684 1214 21 9.801 0.366 9.757 1215 21 9.171 0.580 9.852 1216 21 10.081 0.499 9.989 1217 21 10.520 0.501 10.118 1218 21 10.454 0.397 10.195 1219 21 10.068 0.439 10.224 1220 21 9.973 0.463 10.243 1221 21 10.570 0.514 10.275 1222 21 9.920 0.679 10.316 1223 21 10.196 0.666 10.378 1224 21 10.607 0.649 10.432 1225 20 10.945 0.721 10.426 1226 20 9.933 0.540 10.335 1227 20 10.590 0.512 10.182 1228 20 10.223 0.477 9.972 1229 20 9.148 0.511 9.748 1230 20 9.789 0.489 9.575 1231 20 9.322 0.650 9.467 1232 20 9.124 0.553 9.440 1233 20 9.497 0.548 9.495 1234 20 9.478 0.567 9.593 1235 20 10.054 0.501 9.687 1236 20 9.793 0.489 9.725 1237 20 10.062 0.631 9.695 1238 20 9.289 0.527 9.608 1239 20 9.676 0.601 9.509 1240 21 9.170 0.600 9.421 1241 22 9.360 0.492 9.373 1242 23 9.354 0.507 9.370 1243 23 9.176 0.567 9.407 1244 23 9.808 0.482 9.475 1245 23 9.563 0.505 9.545 1246 23 9.776 0.497 9.621 1247 23 9.256 0.502 9.719 1248 23 9.888 0.581 9.860 1249 24 9.967 0.539 10.021 1250 26 10.713 0.550 10.170 1251 26 10.233 0.446 10.282 1252 26 9.560 0.559 10.387 1253 26 11.092 0.486 10.504 1254 26 10.517 0.412 10.577 1255 25 10.602 0.412 10.590 1256 25 10.357 0.398 10.536 1257 26 11.013 0.406 10.404 1258 26 10.387 0.411 10.178 1259 26 9.488 0.377 9.908 1260 26 9.496 0.367 9.670 1261 25 9.625 0.433 9.499 1262 25 9.314 0.441 9.402 1263 25 8.917 0.544 9.393 1264 25 9.621 0.427 9.469 1265 27 9.895 0.427 9.577 1266 29 9.782 0.403 9.677 1267 29 9.608 0.458 9.769 1268 28 9.862 0.443 9.867 1269 28 9.883 0.450 9.971 1270 30 10.219 0.397 10.075 1271 30 9.996 0.375 10.166 1272 30 10.427 0.374 10.240 1273 32 10.236 0.365 10.285 1274 32 10.044 0.302 10.301 1275 31 10.665 0.394 10.281 1276 32 10.328 0.356 10.202 1277 33 9.886 0.361 10.076 1278 33 10.233 0.394 9.933 1279 33 9.625 0.394 9.796 1280 35 9.611 0.453 9.706 1281 36 9.384 0.456 9.696 1282 36 9.564 0.499 9.775 1283 36 10.403 0.467 9.910 1284 36 9.716 0.430 10.052 1285 36 10.221 0.442 10.190 1286 37 10.713 0.381 10.290 1287 37 10.166 0.484 10.326 1288 38 10.368 0.405 10.309 1289 39 10.351 0.438 10.249 1290 39 10.133 0.418 10.159 1291 40 9.934 0.383 10.064 1292 40 10.066 0.420 9.985 1293 40 9.740 0.451 9.933 1294 39 9.984 0.407 9.917 1295 39 10.014 0.409 9.929 1296 40 10.042 0.460 9.968 1297 40 9.496 0.476 10.044 1298 40 10.560 0.438 10.163 1299 40 10.263 0.474 10.284 1300 40 10.478 0.444 10.397 1301 40 10.667 0.412 10.498 1302 39 10.552 0.381 10.597 1303 39 10.429 0.366 10.724 1304 40 10.452 0.368 10.898 1305 39 10.942 0.353 11.097 1306 39 12.058 0.373 11.240 1307 39 11.247 0.362 11.240 1308 38 11.378 0.395 11.089 1309 38 10.827 0.358 10.812 1310 38 10.280 0.359 10.463 1311 39 10.458 0.350 10.098 1312 39 9.671 0.380 9.767 1313 40 8.796 0.397 9.550 1314 41 8.976 0.374 9.503 1315 43 10.020 0.372 9.593 1316 43 10.226 0.379 9.719 1317 44 9.549 0.331 9.826 1318 44 10.099 0.352 9.916 1319 44 10.144 0.321 9.979 1320 46 9.372 0.325 10.022 1321 46 10.551 0.298 10.056 1322 47 10.107 0.289 10.043 1323 48 10.086 0.315 9.980 1324 48 9.690 0.329 9.887 1325 48 9.809 0.321 9.789 1326 48 9.575 0.299 9.698 1327 48 9.834 0.352 9.617 1328 47 9.435 0.294 9.543 1329 47 9.502 0.343 9.490 1330 48 9.266 0.335 9.466 1331 48 9.981 0.281 9.473 1332 48 9.222 0.329 9.506 1333 48 9.151 0.321 9.597 1334 48 9.866 0.327 9.755 1335 48 10.070 0.311 9.935 1336 48 10.214 0.289 10.096 1337 48 10.356 0.301 10.217 1338 48 9.791 0.356 10.296 1339 48 10.834 0.343 10.338 1340 48 10.161 0.402 10.309 1341 49 10.466 0.411 10.210 1342 52 9.903 0.383 10.048 1343 52 10.069 0.335 9.846 1344 52 9.400 0.346 9.627 1345 54 9.441 0.320 9.427 1346 53 9.082 0.284 9.263 1347 53 9.654 0.362 9.145 1348 53 8.594 0.322 9.076 1349 53 8.910 0.373 9.096 1350 53 9.137 0.428 9.202 1351 53 9.429 0.387 9.357 1352 52 9.902 0.316 9.517 1353 52 9.434 0.334 9.651 1354 52 9.704 0.330 9.766 1355 52 9.889 0.305 9.853 1356 52 10.295 0.357 9.894 1357 52 9.652 0.391 9.882 1358 52 9.829 0.368 9.847 1359 52 9.823 0.382 9.805 1360 52 9.764 0.361 9.765 1361 52 9.951 0.330 9.738 1362 52 9.687 0.364 9.739 1363 52 9.429 0.360 9.806 1364 52 9.397 0.403 9.965 1365 52 10.239 0.342 10.190 1366 52 11.083 0.300 10.385 1367 52 10.981 0.297 10.462 1368 52 10.462 0.342 10.421 1369 52 9.954 0.320 10.337 1370 53 9.652 0.327 10.291 1371 53 10.187 0.311 10.307 1372 53 10.776 0.310 10.332 1373 53 10.544 0.293 10.295 1374 53 10.694 0.350 10.174 1375 53 9.900 0.373 9.998 1376 52 9.264 0.446 9.854 1377 53 9.517 0.369 9.817 1378 53 9.748 0.360 9.890 1379 53 10.065 0.355 10.028 1380 53 10.372 0.325 10.163 1381 52 10.799 0.308 10.230 1382 52 9.932 0.327 10.206 1383 52 10.316 0.301 10.122 1384 52 9.958 0.301 10.002 1385 51 9.432 0.332 9.883 1386 51 9.986 0.291 9.787 1387 50 10.028 0.307 9.697 1388 50 9.502 0.382 9.613 1389 50 9.034 0.364 9.568 1390 49 9.644 0.352 9.584 1391 49 10.096 0.339 9.621 1392 49 9.453 0.380 9.647 1393 49 9.642 0.338 9.674 1394 48 9.620 0.332 9.705 1395 49 9.460 0.332 9.735 1396 49 10.406 0.341 9.739 1397 49 9.634 0.377 9.680 1398 49 9.548 0.375 9.584 1399 49 9.797 0.395 9.484 1400 49 9.061 0.442 9.420 1401 49 9.102 0.397 9.452 1402 48 9.531 0.376 9.605 1403 48 9.830 0.307 9.852 1404 48 10.134 0.305 10.151 1405 47 10.760 0.377 10.457 1406 47 10.748 0.398 10.727 1407 47 10.843 0.366 10.952 1408 46 11.053 0.302 11.130 1409 46 11.510 0.319 11.245 1410 45 11.152 0.287 11.278 1411 45 11.722 0.348 11.232 1412 45 10.883 0.312 11.117 1413 45 11.082 0.311 10.985 1414 45 10.621 0.345 10.878 1415 45 10.539 0.312 10.835 1416 43 10.659 0.312 10.865 1417 43 11.291 0.320 10.932 1418 43 10.738 0.386 10.982 1419 43 11.473 0.328 10.985 1420 43 11.198 0.404 10.910 1421 43 10.695 0.521 10.776 1422 43 10.336 0.421 10.643 1423 43 9.917 0.416 10.560 1424 43 10.815 0.411 10.529 1425 43 11.106 0.441 10.483 1426 42 10.327 0.391 10.382 1427 42 10.074 0.427 10.260 1428 42 10.303 0.412 10.156 1429 41 9.850 0.465 10.091 1430 43 10.023 0.385 10.090 1431 43 10.018 0.325 10.156 1432 43 10.256 0.301 10.275 1433 44 10.443 0.328 10.416 1434 47 10.747 0.357 10.544 1435 48 10.672 0.363 10.630 1436 49 10.723 0.340 10.670 1437 48 10.606 0.431 10.669 1438 49 10.829 0.330 10.639 1439 48 10.227 0.433 10.589 1440 49 10.633 0.338 10.541 1441 52 10.640 0.305 10.481 1442 52 10.547 0.293 10.405 1443 54 10.103 0.283 10.327 1444 57 10.098 0.312 10.278 1445 58 10.430 0.304 10.261 1446 56 10.343 0.311 10.261 1447 57 10.132 0.320 10.279 1448 56 10.043 0.339 10.323 1449 56 10.151 0.385 10.382 1450 58 11.160 0.363 10.405 1451 56 10.426 0.363 10.329 1452 54 10.434 0.341 10.168 1453 53 9.393 0.423 9.972 1454 56 9.806 0.485 9.804 1455 58 9.757 0.319 9.675 1456 57 9.550 0.369 9.585 1457 57 9.134 0.390 9.539 1458 58 9.978 0.352 9.532 1459 58 9.588 0.333 9.525 1460 58 9.363 0.375 9.520 1461 58 9.429 0.418 9.530 1462 58 9.856 0.471 9.552 1463 59 9.439 0.515 9.576 1464 61 9.512 0.368 9.618 1465 66 9.701 0.315 9.685 1466 67 9.725 0.262 9.768 1467 68 9.756 0.239 9.857 1468 68 9.976 0.254 9.938 1469 68 9.877 0.270 9.982 1470 66 10.446 0.258 9.962 1471 67 10.191 0.250 9.851 1472 68 9.406 0.303 9.681 1473 67 9.094 0.323 9.522 1474 67 9.637 0.323 9.416 1475 67 9.235 0.313 9.358 1476 68 9.311 0.289 9.351 1477 68 9.380 0.314 9.391 1478 70 9.237 0.288 9.465 1479 70 9.813 0.308 9.553 1480 72 9.828 0.295 9.618 1481 71 9.751 0.288 9.650 1482 71 9.623 0.277 9.668 1483 71 9.385 0.283 9.708 1484 72 9.425 0.285 9.794 1485 75 10.739 0.271 9.907 1486 74 9.644 0.272 10.002 1487 74 9.873 0.318 10.101 1488 75 10.295 0.309 10.205 1489 77 10.567 0.293 10.286 1490 78 10.347 0.260 10.325 1491 79 10.394 0.245 10.335 1492 80 9.885 0.231 10.342 1493 81 10.533 0.202 10.365 1494 82 10.655 0.232 10.381 1495 83 10.124 0.230 10.383 1496 83 10.622 0.256 10.386 1497 84 10.347 0.209 10.393 1498 84 9.967 0.260 10.425 1499 85 10.468 0.255 10.491 1500 86 10.852 0.228 10.551 1501 85 11.056 0.238 10.558 1502 85 10.411 0.262 10.509 1503 86 9.741 0.303 10.459 1504 87 10.714 0.312 10.446 1505 87 10.545 0.264 10.437 1506 88 10.491 0.242 10.413 1507 89 10.399 0.242 10.374 1508 90 10.362 0.296 10.331 1509 89 10.143 0.274 10.302 1510 90 10.055 0.287 10.303 1511 90 10.338 0.292 10.329 1512 90 10.762 0.273 10.345 1513 92 10.465 0.302 10.320 1514 92 9.962 0.305 10.274 1515 93 10.495 0.308 10.240 1516 93 9.465 0.296 10.233 1517 94 10.591 0.259 10.264 1518 95 10.589 0.245 10.279 1519 95 10.401 0.237 10.248 1520 97 10.012 0.227 10.184 1521 97 9.868 0.237 10.122 1522 96 9.895 0.247 10.073 1523 96 10.720 0.225 10.015 1524 97 9.506 0.236 9.919 1525 97 9.795 0.246 9.813 1526 98 10.138 0.233 9.700 1527 98 9.275 0.271 9.582 1528 97 9.689 0.260 9.498 1529 95 9.160 0.290 9.472 1530 96 9.347 0.258 9.533 1531 96 9.468 0.276 9.673 1532 95 10.053 0.234 9.858 1533 95 10.255 0.256 10.026 1534 94 10.115 0.278 10.142 1535 95 10.743 0.289 10.195 1536 95 9.764 0.252 10.193 1537 96 9.774 0.269 10.190 1538 97 10.405 0.249 10.195 1539 96 10.704 0.267 10.173 1540 95 9.907 0.275 10.110 1541 95 9.782 0.274 10.049 1542 96 10.177 0.243 10.020 1543 96 9.961 0.280 10.021 1544 96 9.945 0.267 10.060 1545 96 9.940 0.271 10.139 1546 97 10.493 0.239 10.242 1547 97 10.185 0.269 10.335 1548 97 10.766 0.251 10.402 1549 96 10.314 0.255 10.427 1550 95 10.244 0.247 10.424 1551 95 10.662 0.241 10.401 1552 96 10.096 0.260 10.353 1553 96 10.754 0.248 10.287 1554 96 9.862 0.256 10.205 1555 96 10.218 0.251 10.141 1556 96 10.165 0.260 10.108 1557 96 9.810 0.266 10.119 1558 96 10.239 0.269 10.189 1559 96 10.273 0.252 10.299 1560 97 10.617 0.255 10.432 1561 97 10.103 0.244 10.571 1562 98 11.108 0.251 10.706 1563 99 10.576 0.236 10.793 1564 100 11.054 0.243 10.815 1565 100 11.092 0.250 10.744 1566 99 10.645 0.274 10.585 1567 99 10.113 0.280 10.385 1568 99 9.845 0.268 10.198 1569 100 10.170 0.264 10.044 1570 100 10.203 0.231 9.901 1571 100 9.513 0.261 9.759 1572 100 9.624 0.273 9.639 1573 98 9.836 0.252 9.539 1574 98 8.706 0.288 9.461 1575 98 9.777 0.263 9.416 1576 96 9.765 0.258 9.353 1577 96 9.248 0.257 9.251 1578 96 8.856 0.289 9.140 1579 95 9.296 0.287 9.054 1580 93 8.628 0.303 9.004 1581 92 8.905 0.287 9.008 1582 92 9.177 0.292 9.049 1583 92 9.114 0.271 9.093 1584 92 9.098 0.268 9.117 1585 92 9.287 0.276 9.103 1586 90 9.257 0.262 9.037 1587 90 8.924 0.266 8.928 1588 90 8.631 0.276 8.814 1589 90 8.886 0.252 8.734 1590 90 8.388 0.284 8.709 1591 90 8.514 0.286 8.766 1592 89 9.108 0.257 8.893 1593 89 8.838 0.293 9.052 1594 89 9.527 0.272 9.212 1595 89 9.352 0.296 9.336 1596 90 9.368 0.273 9.414 1597 90 9.496 0.260 9.444 1598 90 9.141 0.286 9.421 1599 90 9.923 0.262 9.339 1600 90 9.672 0.264 9.175 1601 88 8.087 0.357 8.977 1602 87 8.590 0.289 8.833 1603 87 9.112 0.253 8.749 1604 87 8.728 0.227 8.688 1605 87 8.316 0.277 8.648 1606 87 9.010 0.284 8.632 1607 86 8.639 0.306 8.618 1608 85 8.575 0.329 8.616 1609 84 8.269 0.346 8.647 1610 84 8.667 0.363 8.717 1611 84 9.119 0.333 8.792 1612 84 8.852 0.322 8.831 1613 84 9.002 0.336 8.826 1614 83 8.856 0.284 8.784 1615 85 8.543 0.277 8.734 1616 85 8.398 0.289 8.711 1617 85 8.941 0.261 8.723 1618 86 8.926 0.291 8.748 1619 85 8.736 0.354 8.783 1620 85 8.425 0.357 8.846 1621 85 9.297 0.301 8.946 1622 85 9.108 0.331 9.055 1623 85 9.085 0.320 9.172 1624 84 9.187 0.291 9.308 1625 84 9.248 0.322 9.464 1626 84 9.904 0.301 9.619 1627 83 9.717 0.313 9.735 1628 82 9.669 0.316 9.799 1629 81 10.515 0.279 9.797 1630 81 9.307 0.328 9.721 1631 81 9.533 0.317 9.625 1632 81 9.749 0.274 9.535 1633 79 9.123 0.271 9.461 1634 79 9.563 0.278 9.426 1635 78 9.179 0.287 9.427 1636 78 9.336 0.313 9.458 1637 78 9.692 0.269 9.491 1638 77 9.484 0.259 9.480 1639 75 9.537 0.256 9.399 1640 75 10.074 0.280 9.233 1641 73 8.477 0.322 9.000 1642 71 8.076 0.411 8.796 1643 71 9.311 0.301 8.668 1644 73 8.563 0.359 8.589 1645 72 8.129 0.501 8.580 1646 70 8.583 0.385 8.665 1647 70 9.062 0.370 8.817 1648 70 9.055 0.398 8.998 1649 70 9.070 0.403 9.191 1650 70 9.428 0.382 9.391 1651 70 9.701 0.368 9.582 1652 71 9.811 0.399 9.752 1653 71 9.875 0.355 9.903 1654 71 9.644 0.410 10.047 1655 70 10.659 0.382 10.181 1656 70 10.061 0.361 10.277 1657 71 10.213 0.300 10.335 1658 72 10.834 0.325 10.346 1659 72 10.015 0.300 10.293 1660 73 10.547 0.303 10.200 1661 74 9.826 0.349 10.084 1662 74 9.748 0.326 9.983 1663 74 9.845 0.328 9.913 1664 72 10.007 0.354 9.854 1665 73 10.117 0.329 9.781 1666 72 9.681 0.328 9.687 1667 72 9.188 0.340 9.608 1668 72 9.744 0.319 9.575 1669 71 9.345 0.377 9.580 1670 71 9.538 0.356 9.615 1671 70 9.970 0.352 9.651 1672 71 9.665 0.345 9.652 1673 71 9.764 0.395 9.615 1674 71 9.462 0.397 9.548 1675 71 9.297 0.367 9.476 1676 71 9.446 0.382 9.413 1677 71 9.481 0.335 9.350 1678 71 9.260 0.378 9.285 1679 70 9.616 0.370 9.226 1680 70 8.548 0.422 9.194 1681 68 8.882 0.336 9.232 1682 67 9.595 0.344 9.318 1683 68 9.731 0.333 9.383 1684 67 9.572 0.312 9.387 1685 68 9.369 0.348 9.337 1686 68 9.169 0.361 9.272 1687 69 9.235 0.360 9.233 1688 69 8.699 0.353 9.254 1689 69 9.675 0.331 9.351 1690 70 9.291 0.332 9.490 1691 70 9.529 0.343 9.653 1692 71 9.865 0.329 9.805 1693 71 10.283 0.323 9.896 1694 71 10.287 0.345 9.887 1695 71 9.796 0.376 9.792 1696 70 9.248 0.448 9.677 1697 71 9.437 0.413 9.608 1698 72 9.710 0.395 9.602 1699 71 9.479 0.387 9.649 1700 71 9.523 0.408 9.743 1701 69 9.831 0.375 9.855 1702 68 10.153 0.362 9.930 1703 68 10.499 0.376 9.911 1704 69 10.198 0.383 9.778 1705 69 8.971 0.430 9.587 1706 69 8.770 0.509 9.441 1707 69 9.947 0.383 9.368 1708 69 9.448 0.371 9.328 1709 69 8.832 0.382 9.328 1710 70 9.370 0.346 9.386 1711 70 9.445 0.348 9.474 1712 70 9.744 0.350 9.549 1713 69 9.896 0.388 9.566 1714 69 9.465 0.385 9.512 1715 69 9.402 0.388 9.410 1716 68 9.169 0.366 9.288 1717 68 9.080 0.378 9.168 1718 65 9.332 0.342 9.057 1719 64 8.846 0.320 8.958 1720 66 8.674 0.370 8.896 1721 66 8.763 0.349 8.888 1722 65 9.239 0.332 8.919 1723 64 8.641 0.347 8.965 1724 64 9.052 0.362 9.024 1725 65 9.392 0.359 9.068 1726 66 9.032 0.400 9.075 1727 66 9.412 0.403 9.053 1728 63 8.521 0.361 9.024 1729 63 8.820 0.352 9.034 1730 63 9.314 0.368 9.080 1731 63 9.225 0.355 9.131 1732 63 9.304 0.380 9.174 1733 64 9.417 0.370 9.219 1734 64 8.608 0.481 9.294 1735 64 9.320 0.343 9.436 1736 62 9.907 0.332 9.610 1737 61 9.435 0.336 9.761 1738 60 10.299 0.313 9.852 1739 61 10.575 0.315 9.833 1740 60 9.435 0.318 9.710 1741 59 8.885 0.354 9.571 1742 59 9.628 0.311 9.476 1743 59 9.533 0.325 9.413 1744 60 9.376 0.378 9.368 1745 61 9.095 0.328 9.347 1746 60 9.585 0.327 9.349 1747 60 9.273 0.322 9.358 1748 60 9.633 0.317 9.370 1749 61 9.467 0.330 9.386 1750 61 9.294 0.365 9.437 1751 61 9.108 0.343 9.563 1752 61 9.874 0.297 9.778 1753 60 10.118 0.296 10.051 1754 60 10.132 0.304 10.349 1755 60 11.067 0.302 10.642 1756 60 10.875 0.265 10.893 1757 59 11.222 0.282 11.101 1758 59 11.297 0.262 11.278 1759 59 10.978 0.276 11.448 1760 59 11.449 0.300 11.629 1761 58 12.017 0.314 11.785 1762 57 12.212 0.323 11.856 1763 57 11.950 0.345 11.809 1764 57 11.228 0.367 11.659 1765 57 11.243 0.404 11.435 1766 57 12.114 0.357 11.118 1767 57 10.944 0.367 10.683 1768 58 9.877 0.360 10.211 1769 58 9.131 0.348 9.830 1770 59 9.516 0.384 9.619 1771 59 9.411 0.295 9.573 1772 59 9.772 0.299 9.655 1773 59 9.593 0.325 9.811 1774 59 10.303 0.319 9.991 1775 60 10.484 0.329 10.131 1776 59 10.194 0.320 10.205 1777 58 9.967 0.317 10.231 1778 58 10.289 0.337 10.226 1779 59 10.124 0.340 10.185 1780 59 10.581 0.274 10.097 1781 59 9.605 0.306 9.962 1782 59 9.966 0.290 9.818 1783 61 9.384 0.314 9.682 1784 61 9.587 0.333 9.571 1785 61 9.904 0.278 9.472 1786 61 9.040 0.284 9.382 1787 64 9.197 0.316 9.330 1788 64 9.236 0.330 9.320 1789 63 9.555 0.293 9.330 1790 65 9.474 0.312 9.330 1791 66 9.233 0.359 9.319 1792 70 9.456 0.300 9.311 1793 72 9.028 0.292 9.320 1794 76 9.322 0.295 9.365 1795 77 9.431 0.290 9.438 1796 79 9.489 0.295 9.517 1797 80 9.622 0.260 9.580 1798 80 9.741 0.275 9.602 1799 83 10.024 0.245 9.564 1800 86 9.023 0.294 9.476 1801 87 9.462 0.297 9.387 1802 88 9.382 0.289 9.313 1803 89 8.712 0.322 9.267 1804 93 9.555 0.282 9.257 1805 94 9.685 0.246 9.244 1806 95 8.672 0.311 9.217 1807 98 9.195 0.267 9.201 1808 100 9.430 0.250 9.179 1809 102 9.218 0.261 9.126 1810 103 9.079 0.265 9.044 1811 104 9.229 0.263 8.951 1812 105 8.539 0.255 8.881 1813 105 8.649 0.330 8.886 1814 106 8.916 0.280 8.986 1815 105 8.984 0.285 9.164 1816 105 9.410 0.242 9.386 1817 108 9.742 0.237 9.598 1818 108 10.067 0.249 9.747 1819 110 10.263 0.228 9.805 1820 113 9.725 0.231 9.790 1821 112 9.439 0.259 9.777 1822 112 9.292 0.247 9.837 1823 112 10.317 0.235 9.990 1824 116 10.122 0.205 10.197 1825 119 9.939 0.200 10.439 1826 121 11.225 0.210 10.685 1827 123 11.029 0.195 10.863 1828 125 10.883 0.201 10.949 1829 127 11.029 0.200 10.948 1830 129 10.621 0.199 10.867 1831 131 11.196 0.196 10.710 1832 132 10.359 0.194 10.471 1833 136 9.953 0.209 10.187 1834 137 10.091 0.229 9.888 1835 140 9.505 0.214 9.582 1836 141 9.725 0.206 9.291 1837 141 8.349 0.277 9.046 1838 142 8.986 0.269 8.901 1839 142 8.865 0.309 8.852 1840 143 8.856 0.296 8.888 1841 144 8.794 0.259 8.998 1842 144 9.352 0.242 9.163 1843 144 9.398 0.247 9.348 1844 145 9.410 0.239 9.534 1845 145 10.011 0.205 9.707 1846 143 9.671 0.196 9.850 1847 143 10.200 0.181 9.972 1848 146 9.973 0.174 10.074 1849 146 10.213 0.181 10.175 1850 149 9.915 0.193 10.290 1851 149 10.388 0.185 10.425 1852 149 10.798 0.175 10.548 1853 148 10.373 0.189 10.620 1854 151 11.179 0.178 10.620 1855 151 10.820 0.150 10.523 1856 151 10.304 0.170 10.362 1857 151 9.398 0.189 10.216 1858 151 10.572 0.196 10.144 1859 151 9.710 0.195 10.128 1860 151 10.048 0.196 10.163 1861 152 10.663 0.195 10.209 1862 152 10.178 0.161 10.216 1863 152 10.107 0.160 10.175 1864 153 10.331 0.172 10.085 1865 153 9.944 0.170 9.942 1866 153 9.927 0.172 9.768 1867 153 9.508 0.179 9.592 1868 153 9.241 0.188 9.461 1869 153 9.336 0.203 9.411 1870 153 9.239 0.206 9.448 1871 153 9.477 0.210 9.564 1872 153 9.796 0.214 9.721 1873 153 10.444 0.227 9.871 1874 153 9.409 0.215 9.985 1875 153 9.955 0.213 10.080 1876 153 10.743 0.178 10.128 1877 153 10.155 0.176 10.085 1878 153 9.807 0.195 9.972 1879 153 10.108 0.209 9.828 1880 153 9.572 0.193 9.686 1881 153 8.761 0.174 9.598 1882 153 9.767 0.156 9.590 1883 153 10.110 0.164 9.606 1884 153 9.732 0.146 9.594 1885 153 9.428 0.149 9.568 1886 152 9.363 0.168 9.564 1887 152 9.732 0.173 9.599 1888 152 9.117 0.183 9.674 1889 152 9.810 0.163 9.780 1890 153 10.550 0.148 9.856 1891 153 10.377 0.138 9.848 1892 153 9.251 0.160 9.789 1893 153 9.259 0.199 9.769 1894 153 9.714 0.188 9.824 1895 152 10.101 0.142 9.920 1896 152 10.217 0.133 10.005 1897 152 9.847 0.167 10.045 1898 152 10.422 0.163 10.029 1899 151 9.985 0.158 9.943 1900 151 9.124 0.165 9.807 1901 152 10.534 0.175 9.639 1902 151 9.639 0.175 9.411 1903 149 8.654 0.213 9.176 1904 149 8.571 0.218 9.019 1905 149 8.987 0.192 8.967 1906 149 9.001 0.211 8.988 1907 149 9.086 0.200 9.037 1908 149 9.648 0.190 9.076 1909 148 9.046 0.182 9.086 1910 148 8.882 0.187 9.107 1911 149 8.784 0.188 9.185 1912 149 9.449 0.173 9.330 1913 149 9.400 0.163 9.508 1914 149 9.919 0.162 9.685 1915 150 10.074 0.168 9.823 1916 150 10.031 0.170 9.913 1917 150 9.497 0.186 9.982 1918 149 10.324 0.167 10.063 1919 149 10.057 0.165 10.146 1920 149 10.184 0.182 10.236 1921 149 10.113 0.195 10.333 1922 149 10.673 0.206 10.423 1923 149 10.425 0.180 10.477 1924 149 10.510 0.191 10.481 1925 150 10.839 0.161 10.426 1926 150 10.239 0.182 10.314 1927 150 10.386 0.182 10.188 1928 151 9.424 0.189 10.100 1929 150 9.509 0.186 10.104 1930 150 11.110 0.166 10.172 1931 150 10.264 0.156 10.221 1932 150 9.981 0.165 10.253 1933 150 10.212 0.175 10.288 1934 150 11.042 0.196 10.320 1935 150 9.913 0.184 10.347 1936 149 9.492 0.199 10.427 1937 149 11.286 0.184 10.568 1938 150 11.119 0.173 10.688 1939 150 10.555 0.165 10.767 1940 150 10.329 0.184 10.842 1941 151 11.421 0.169 10.927 1942 151 10.771 0.165 10.990 1943 152 11.015 0.165 11.031 1944 152 11.150 0.173 11.039 1945 152 11.273 0.171 10.998 1946 155 10.710 0.169 10.914 1947 158 10.819 0.168 10.815 1948 159 10.737 0.175 10.716 1949 161 10.536 0.164 10.629 1950 162 10.650 0.179 10.566 1951 163 10.424 0.174 10.530 1952 165 10.100 0.167 10.529 1953 167 10.930 0.166 10.550 1954 169 11.039 0.157 10.545 1955 171 10.311 0.168 10.504 1956 170 10.121 0.167 10.476 1957 171 10.579 0.172 10.491 1958 172 10.175 0.165 10.541 1959 173 10.697 0.177 10.607 1960 172 11.279 0.178 10.639 1961 173 10.573 0.182 10.601 1962 175 10.401 0.171 10.526 1963 176 9.861 0.202 10.458 1964 177 11.195 0.168 10.412 1965 178 10.018 0.159 10.358 1966 177 10.211 0.174 10.320 1967 175 10.341 0.149 10.309 1968 175 10.316 0.142 10.314 1969 175 10.400 0.153 10.324 1970 176 10.388 0.151 10.333 1971 176 10.108 0.156 10.343 1972 176 10.412 0.153 10.357 1973 177 10.759 0.155 10.359 1974 177 10.132 0.158 10.340 1975 177 10.004 0.177 10.331 1976 177 10.557 0.187 10.341 1977 176 10.338 0.177 10.348 1978 153 10.236 0.169 10.340 1979 151 10.584 0.163 10.311 1980 151 10.518 0.162 10.248 1981 119 9.954 0.180 10.171 1982 116 9.874 0.173 10.130 1983 116 10.097 0.183 10.154 1984 116 9.893 0.191 10.235 1985 116 10.806 0.185 10.348 1986 116 10.498 0.188 10.438 1987 116 10.361 0.174 10.495 1988 116 10.670 0.183 10.519 1989 116 10.471 0.188 10.506 1990 116 10.571 0.192 10.460 1991 116 10.350 0.198 10.390 1992 116 10.163 0.195 10.314 1993 116 10.485 0.220 10.243 1994 96 10.268 0.225 10.181 1995 96 9.872 0.226 10.153 1996 96 9.979 0.219 10.193 1997 96 10.345 0.206 10.302 1998 65 10.645 0.227 10.453 1999 65 10.431 0.213 10.623 2000 65 10.790 0.245 10.805 2001 64 10.965 0.239 10.977 2002 64 11.005 0.226 11.108 2003 46 12.130 0.301 11.165 2004 41 10.907 0.359 11.129 2005 30 10.795 0.405 11.072 2006 14 10.959 0.594 11.059 2007 14 10.966 0.619 11.122 2008 14 10.793 0.571 11.268 2009 5 12.148 0.807 11.474 2010 5 11.576 0.654 11.681