Photometric File Details

  Filename:   BOLRD-PS24C-Q-3C-BK-180R-40K.IES
 
  More Information:   https://stanprols.com/
 
  Classification:  
Luminaire Lumens1488
EfficiencyN.A.
IES ClassificationType III
Longitudinal ClassificationVery Short
Cutoff Classification (deprecated)N.A.
Upward Waste Light Ratio0.07
CIE TypeDirect
Luminaire Efficacy Rating (LER)65
NEMA Horizontal BeamN.A.
NEMA Vertical BeamN.A.
Bug RatingB0-U3-G1
 
  Contents:  
IESNA:LM-63-2002 [TEST] 001 [TESTLAB] [TESTDATE] 2025-06-24 [ISSUEDATE] 2025-06-25 11:44:01 [LAMPPOSITION] 0,0 [OTHER] EVERFINE GO-2000B_V1 SYSTEM [MANUFAC] STANPRO [LUMINAIRE] BOLRD-PS24C-Q-3C-BK-180R-40K [LUMCAT] BOLRD-PS24C-Q-3C-BK-180R-40K [LAMP] 1488 LUMENS [_SEARCH_SOURCETYPE] LED [_SEARCH_APPLICATION] Outdoor, Bollard, Wet Location [_SEARCH_CERTIFICATION] CSA, DLC [_SEARCH_CLASSIFICATION] IP65, IK08 TILT=NONE 1 -1 1 73 145 1 2 -0.104 -0.104 0 1 1 23.0131 0 2.5 5 7.5 10 12.5 15 17.5 20 22.5 25 27.5 30 32.5 35 37.5 40 42.5 45 47.5 50 52.5 55 57.5 60 62.5 65 67.5 70 72.5 75 77.5 80 82.5 85 87.5 90 92.5 95 97.5 100 102.5 105 107.5 110 112.5 115 117.5 120 122.5 125 127.5 130 132.5 135 137.5 140 142.5 145 147.5 150 152.5 155 157.5 160 162.5 165 167.5 170 172.5 175 177.5 180 0 2.5 5 7.5 10 12.5 15 17.5 20 22.5 25 27.5 30 32.5 35 37.5 40 42.5 45 47.5 50 52.5 55 57.5 60 62.5 65 67.5 70 72.5 75 77.5 80 82.5 85 87.5 90 92.5 95 97.5 100 102.5 105 107.5 110 112.5 115 117.5 120 122.5 125 127.5 130 132.5 135 137.5 140 142.5 145 147.5 150 152.5 155 157.5 160 162.5 165 167.5 170 172.5 175 177.5 180 182.5 185 187.5 190 192.5 195 197.5 200 202.5 205 207.5 210 212.5 215 217.5 220 222.5 225 227.5 230 232.5 235 237.5 240 242.5 245 247.5 250 252.5 255 257.5 260 262.5 265 267.5 270 272.5 275 277.5 280 282.5 285 287.5 290 292.5 295 297.5 300 302.5 305 307.5 310 312.5 315 317.5 320 322.5 325 327.5 330 332.5 335 337.5 340 342.5 345 347.5 350 352.5 355 357.5 360 0.125 0.142 0.151 0.385 1.177 9.568 45.654 89.276 138.43 195.02 261.61 314.045 353.28 393.645 434.37 473.965 504.71 558.735 595.40 623.80 633.74 633.95 616.62 592.375 559.21 520.41 481.34 438.47 395.69 346.55 296.45 245.765 202.41 166.855 133.47 111.71 92.185 74.361 60.343 50.01 42.715 37.538 33.62 30.177 27.01 24.00 21.108 18.442 16.061 14.048 12.349 10.947 9.716 8.667 7.749 6.982 6.269 5.60 4.968 4.343 3.771 3.235 2.785 2.465 2.187 1.993 1.811 1.641 1.487 1.142 0.675 0.714 1.00 0.125 0.141 0.152 0.382 1.178 9.422 44.93 88.868 137.932 194.872 261.748 313.862 352.381 390.358 429.072 468.867 502.198 555.788 592.278 620.266 630.074 631.208 614.613 589.523 556.333 517.935 478.719 435.903 392.967 344.131 294.178 243.882 201.407 166.183 132.798 111.135 91.649 73.973 60.025 49.713 42.389 37.169 33.221 29.751 26.556 23.526 20.634 17.987 15.64 13.667 12.008 10.644 9.444 8.416 7.505 6.734 6.035 5.399 4.807 4.225 3.687 3.162 2.716 2.398 2.128 1.939 1.761 1.598 1.457 1.115 0.674 0.715 1.00 0.125 0.141 0.152 0.379 1.178 9.276 44.207 88.46 137.434 194.724 261.886 313.679 351.482 387.071 423.774 463.768 499.686 552.841 589.156 616.731 626.409 628.466 612.607 586.672 553.457 515.46 476.098 433.336 390.243 341.712 291.906 241.998 200.403 165.511 132.126 110.56 91.113 73.586 59.707 49.416 42.064 36.80 32.822 29.325 26.101 23.052 20.161 17.532 15.219 13.286 11.668 10.34 9.172 8.165 7.261 6.487 5.801 5.198 4.645 4.108 3.603 3.088 2.646 2.332 2.07 1.884 1.712 1.555 1.428 1.089 0.674 0.716 1.00 0.125 0.14 0.153 0.376 1.179 9.129 43.483 88.052 136.937 194.577 262.023 313.497 350.583 383.783 418.477 458.67 497.173 549.893 586.033 613.197 622.743 625.723 610.60 583.82 550.58 512.985 473.477 430.768 387.52 339.293 289.633 240.115 199.40 164.838 131.453 109.985 90.576 73.199 59.39 49.12 41.738 36.432 32.424 28.90 25.647 22.578 19.687 17.078 14.798 12.906 11.327 10.037 8.90 7.914 7.016 6.239 5.567 4.997 4.484 3.99 3.519 3.015 2.577 2.265 2.011 1.83 1.662 1.512 1.398 1.063 0.673 0.718 1.00 0.125 0.14 0.153 0.373 1.179 8.983 42.759 87.644 136.439 194.429 262.161 313.314 349.684 380.496 413.179 453.572 494.661 546.946 582.911 609.662 619.078 622.981 608.593 580.968 547.703 510.51 470.856 428.201 384.797 336.874 287.361 238.232 198.397 164.166 130.781 109.41 90.04 72.812 59.072 48.823 41.413 36.063 32.025 28.474 25.193 22.104 19.214 16.623 14.377 12.525 10.986 9.734 8.628 7.663 6.772 5.992 5.333 4.796 4.323 3.873 3.435 2.941 2.508 2.199 1.953 1.776 1.612 1.469 1.369 1.037 0.672 0.719 1.00 0.125 0.139 0.154 0.37 1.18 8.837 42.036 87.236 135.941 194.281 262.299 313.131 348.786 377.209 407.881 448.473 492.149 543.999 579.789 606.128 615.412 620.239 606.587 578.117 544.827 508.035 468.234 425.634 382.073 334.456 285.089 236.348 197.393 163.494 130.109 108.835 89.504 72.425 58.754 48.527 41.087 35.694 31.626 28.048 24.738 21.631 18.74 16.168 13.955 12.144 10.646 9.43 8.357 7.412 6.528 5.744 5.099 4.595 4.161 3.755 3.351 2.868 2.438 2.132 1.894 1.722 1.563 1.426 1.339 1.01 0.672 0.72 1.00 0.125 0.139 0.154 0.367 1.18 8.691 41.312 86.829 135.443 194.133 262.437 312.948 347.887 373.922 402.583 443.375 489.637 541.052 576.667 602.593 611.747 617.497 604.58 575.265 541.95 505.56 465.613 423.067 379.35 332.037 282.817 234.465 196.39 162.822 129.437 108.26 88.968 72.038 58.436 48.23 40.762 35.325 31.227 27.622 24.284 21.157 18.267 15.714 13.534 11.764 10.305 9.127 8.085 7.161 6.284 5.497 4.865 4.394 4.00 3.638 3.267 2.795 2.369 2.066 1.836 1.667 1.513 1.383 1.31 0.984 0.671 0.722 1.00 0.125 0.138 0.155 0.364 1.181 8.544 40.588 86.421 134.946 193.986 262.574 312.766 346.988 370.634 397.286 438.277 487.124 538.104 573.544 599.059 608.081 614.754 602.573 572.413 539.073 503.085 462.992 420.499 376.627 329.618 280.544 232.582 195.387 162.149 128.764 107.685 88.431 71.65 58.119 47.934 40.436 34.956 30.829 27.196 23.83 20.683 17.793 15.259 13.113 11.383 9.964 8.824 7.813 6.91 6.039 5.249 4.631 4.193 3.839 3.52 3.183 2.721 2.30 1.999 1.777 1.613 1.463 1.34 1.28 0.958 0.67 0.723 1.00 0.125 0.138 0.155 0.361 1.181 8.398 39.865 86.013 134.448 193.838 262.712 312.583 346.089 367.347 391.988 433.178 484.612 535.157 570.422 595.524 604.416 612.012 600.567 569.562 536.197 500.61 460.371 417.932 373.903 327.199 278.272 230.698 194.383 161.477 128.092 107.11 87.895 71.263 57.801 47.637 40.111 34.587 30.43 26.77 23.375 20.209 17.32 14.805 12.692 11.002 9.624 8.52 7.541 6.659 5.795 5.002 4.397 3.992 3.677 3.403 3.099 2.648 2.23 1.933 1.719 1.559 1.414 1.297 1.251 0.932 0.67 0.724 1.00 0.125 0.137 0.156 0.358 1.182 8.252 39.141 85.605 133.95 193.69 262.85 312.40 345.19 364.06 386.69 428.08 482.10 532.21 567.30 591.99 600.75 609.27 598.56 566.71 533.32 498.135 457.75 415.365 371.18 324.78 276.00 228.815 193.38 160.805 127.42 106.535 87.359 70.876 57.483 47.341 39.785 34.219 30.031 26.345 22.921 19.736 16.846 14.35 12.271 10.622 9.283 8.217 7.269 6.408 5.551 4.755 4.163 3.791 3.516 3.286 3.015 2.575 2.161 1.867 1.66 1.505 1.364 1.255 1.221 0.906 0.669 0.726 1.00 0.125 0.137 0.157 0.403 1.286 10.319 43.788 92.168 142.551 205.15 275.886 327.224 362.196 385.399 411.26 454.222 508.12 557.494 596.334 621.731 632.182 640.792 628.739 595.537 560.583 523.063 480.873 436.686 390.514 341.738 290.78 241.379 203.667 169.579 134.894 112.759 92.437 74.951 60.822 50.186 42.323 36.551 32.186 28.312 24.687 21.296 18.205 15.522 13.278 11.49 10.033 8.871 7.837 6.899 5.977 5.131 4.497 4.085 3.778 3.51 3.193 2.711 2.271 1.953 1.728 1.566 1.428 1.328 1.294 0.966 0.719 0.772 1.00 0.125 0.138 0.158 0.449 1.39 12.386 48.435 98.732 151.152 216.61 288.921 342.049 379.201 406.738 435.83 480.363 534.14 582.779 625.369 651.471 663.614 672.313 658.918 624.363 587.847 547.992 503.997 458.007 409.849 358.696 305.56 253.943 213.953 178.354 142.369 118.983 97.515 79.027 64.161 53.032 44.862 38.883 34.341 30.279 26.453 22.857 19.563 16.694 14.285 12.358 10.783 9.524 8.405 7.391 6.403 5.508 4.83 4.38 4.039 3.734 3.371 2.848 2.381 2.039 1.797 1.627 1.491 1.401 1.366 1.026 0.769 0.818 1.00 0.125 0.138 0.159 0.495 1.494 14.454 53.081 105.295 159.753 228.07 301.957 356.873 396.207 428.077 460.40 506.505 560.16 608.063 654.403 681.212 695.047 703.835 689.097 653.19 615.11 572.92 527.12 479.328 429.183 375.653 320.34 266.507 224.24 187.128 149.843 125.207 102.593 83.102 67.50 55.878 47.40 41.215 36.497 32.247 28.219 24.418 20.922 17.867 15.291 13.226 11.534 10.178 8.973 7.883 6.828 5.885 5.164 4.674 4.301 3.958 3.55 2.984 2.49 2.125 1.865 1.688 1.555 1.474 1.439 1.086 0.819 0.864 1.00 0.125 0.138 0.16 0.541 1.598 16.521 57.728 111.858 168.354 239.53 314.992 371.698 413.212 449.416 484.97 532.647 586.18 633.348 683.438 710.952 726.479 735.357 719.276 682.017 642.373 597.848 550.243 500.649 448.518 392.611 335.12 279.071 234.527 195.903 157.318 131.431 107.671 87.178 70.839 58.723 49.939 43.547 38.652 34.214 29.985 25.979 22.281 19.039 16.298 14.094 12.284 10.831 9.541 8.375 7.254 6.262 5.497 4.969 4.563 4.182 3.728 3.121 2.60 2.211 1.934 1.749 1.619 1.547 1.512 1.146 0.869 0.91 1.00 0.125 0.138 0.16 0.587 1.702 18.588 62.375 118.422 176.956 250.99 328.028 386.522 430.218 470.754 509.54 558.788 612.20 658.632 712.472 740.693 757.911 766.878 749.454 710.843 669.637 622.777 573.367 521.971 467.852 409.569 349.90 291.634 244.813 204.677 164.792 137.654 112.748 91.253 74.177 61.569 52.477 45.879 40.807 36.181 31.752 27.54 23.639 20.211 17.305 14.962 13.034 11.485 10.11 8.866 7.68 6.638 5.831 5.263 4.824 4.406 3.906 3.257 2.71 2.298 2.002 1.81 1.682 1.62 1.584 1.206 0.918 0.957 1.00 0.125 0.139 0.161 0.633 1.806 20.655 67.022 124.985 185.557 262.45 341.063 401.347 447.223 492.093 534.11 584.93 638.22 683.917 741.507 770.433 789.343 798.40 779.633 739.67 696.90 647.705 596.49 543.292 487.187 426.527 364.68 304.198 255.10 213.452 172.267 143.878 117.826 95.329 77.516 64.415 55.016 48.211 42.962 38.149 33.518 29.101 24.998 21.383 18.312 15.831 13.784 12.139 10.678 9.358 8.106 7.015 6.164 5.557 5.086 4.63 4.084 3.394 2.82 2.384 2.071 1.871 1.746 1.694 1.657 1.266 0.968 1.003 1.00 0.125 0.139 0.162 0.679 1.91 22.722 71.668 131.548 194.158 273.91 354.099 416.171 464.229 513.432 558.68 611.072 664.24 709.201 770.541 800.174 820.776 829.922 809.812 768.497 724.163 672.633 619.613 564.613 506.521 443.484 379.46 316.762 265.387 222.226 179.741 150.102 122.904 99.404 80.855 67.261 57.554 50.543 45.118 40.116 35.284 30.662 26.357 22.555 19.318 16.699 14.535 12.792 11.246 9.85 8.531 7.392 6.498 5.852 5.348 4.854 4.263 3.53 2.929 2.47 2.139 1.932 1.81 1.767 1.73 1.326 1.018 1.049 1.00 0.125 0.139 0.163 0.725 2.014 24.789 76.315 138.112 202.759 285.37 367.134 430.996 481.234 534.771 583.25 637.213 690.26 734.486 799.576 829.914 852.208 861.443 839.991 797.323 751.427 697.562 642.737 585.934 525.856 460.442 394.24 329.326 275.673 231.001 187.216 156.326 127.982 103.48 84.194 70.106 60.093 52.875 47.273 42.084 37.05 32.223 27.715 23.727 20.325 17.567 15.285 13.446 11.814 10.342 8.957 7.769 6.831 6.146 5.609 5.078 4.441 3.667 3.039 2.556 2.208 1.993 1.873 1.84 1.802 1.386 1.068 1.095 1.00 0.125 0.14 0.164 0.771 2.118 26.857 80.962 144.675 211.36 296.83 380.17 445.82 498.24 556.11 607.82 663.355 716.28 759.77 828.61 859.655 883.64 892.965 870.17 826.15 778.69 722.49 665.86 607.255 545.19 477.40 409.02 341.89 285.96 239.775 194.69 162.55 133.06 107.555 87.533 72.952 62.631 55.207 49.428 44.051 38.816 33.784 29.074 24.90 21.332 18.435 16.035 14.10 12.382 10.834 9.383 8.146 7.165 6.441 5.871 5.303 4.619 3.803 3.149 2.643 2.276 2.054 1.937 1.913 1.875 1.446 1.118 1.142 1.00 0.125 0.139 0.163 0.743 2.039 26.073 78.17 138.594 201.811 283.903 363.421 424.885 474.473 529.557 579.353 633.405 683.921 727.699 790.589 819.899 842.001 850.627 828.219 785.82 741.187 688.317 634.65 578.855 520.046 455.688 390.753 327.251 274.254 230.325 187.808 156.716 128.138 103.518 84.221 70.216 60.338 53.253 47.734 42.592 37.581 32.746 28.203 24.162 20.704 17.897 15.577 13.706 12.05 10.568 9.188 8.005 7.054 6.332 5.754 5.179 4.506 3.722 3.091 2.604 2.249 2.029 1.907 1.875 1.836 1.423 1.101 1.124 1.00 0.125 0.138 0.162 0.716 1.96 25.29 75.377 132.512 192.262 270.977 346.672 403.95 450.707 503.003 550.887 603.455 651.562 695.628 752.568 780.144 800.362 808.288 786.268 745.49 703.683 654.144 603.44 550.455 494.901 433.977 372.487 312.612 262.549 220.875 180.926 150.882 123.217 99.48 80.908 67.48 58.044 51.299 46.04 41.134 36.346 31.709 27.331 23.424 20.077 17.359 15.119 13.313 11.718 10.303 8.993 7.865 6.943 6.224 5.637 5.056 4.392 3.641 3.033 2.565 2.222 2.005 1.877 1.837 1.796 1.40 1.084 1.107 1.00 0.125 0.137 0.161 0.688 1.881 24.506 72.585 126.431 182.713 258.05 329.923 383.015 426.94 476.45 522.42 573.505 619.203 663.557 714.547 740.388 758.723 765.95 744.317 705.16 666.18 619.972 572.23 522.055 469.757 412.265 354.22 297.973 250.843 211.425 174.043 145.048 118.295 95.443 77.596 64.744 55.751 49.345 44.346 39.675 35.111 30.671 26.46 22.687 19.449 16.821 14.661 12.92 11.386 10.038 8.799 7.725 6.832 6.116 5.52 4.933 4.279 3.56 2.975 2.526 2.195 1.98 1.847 1.799 1.757 1.377 1.067 1.09 1.00 0.125 0.136 0.16 0.66 1.802 23.723 69.792 120.349 173.164 245.123 313.174 362.08 403.173 449.897 493.953 543.555 586.844 631.486 676.526 700.633 717.084 723.612 702.366 664.83 628.677 585.799 541.02 493.655 444.612 390.553 335.953 283.334 239.138 201.975 167.161 139.214 113.374 91.406 74.284 62.008 53.458 47.391 42.652 38.217 33.876 29.634 25.588 21.949 18.821 16.283 14.203 12.527 11.054 9.772 8.604 7.584 6.721 6.008 5.403 4.81 4.166 3.478 2.917 2.487 2.168 1.956 1.817 1.761 1.717 1.354 1.05 1.073 1.00 0.125 0.135 0.159 0.633 1.724 22.94 67.00 114.268 163.616 232.197 296.426 341.145 379.407 423.343 465.487 513.605 554.486 599.414 638.504 660.877 675.446 681.273 660.414 624.50 591.173 551.626 509.81 465.255 419.468 368.842 317.687 268.696 227.432 192.525 160.279 133.381 108.452 87.369 70.971 59.273 51.164 45.437 40.957 36.758 32.642 28.596 24.717 21.211 18.194 15.745 13.746 12.134 10.721 9.507 8.409 7.444 6.609 5.90 5.286 4.686 4.052 3.397 2.86 2.448 2.14 1.931 1.788 1.722 1.678 1.331 1.033 1.056 1.00 0.125 0.134 0.158 0.605 1.645 22.156 64.207 108.187 154.067 219.27 279.677 320.21 355.64 396.79 437.02 483.655 522.127 567.343 600.483 621.122 633.807 638.935 618.463 584.17 553.67 517.453 478.60 436.855 394.323 347.13 299.42 254.057 215.727 183.075 153.397 127.547 103.531 83.331 67.659 56.537 48.871 43.483 39.263 35.299 31.407 27.559 23.845 20.474 17.566 15.207 13.288 11.741 10.389 9.242 8.214 7.304 6.498 5.792 5.169 4.563 3.939 3.316 2.802 2.41 2.113 1.907 1.758 1.684 1.638 1.308 1.016 1.039 1.00 0.125 0.133 0.157 0.577 1.566 21.373 61.415 102.105 144.518 206.343 262.928 299.275 331.873 370.237 408.553 453.705 489.768 535.272 562.462 581.366 592.168 596.597 576.512 543.84 516.167 483.281 447.39 408.455 369.179 325.418 281.153 239.418 204.021 173.625 146.514 121.713 98.609 79.294 64.347 53.801 46.578 41.529 37.569 33.841 30.172 26.521 22.974 19.736 16.938 14.669 12.83 11.348 10.057 8.977 8.02 7.164 6.387 5.684 5.052 4.44 3.826 3.235 2.744 2.371 2.086 1.882 1.728 1.646 1.599 1.285 0.999 1.021 1.00 0.125 0.132 0.156 0.55 1.487 20.589 58.622 96.024 134.969 193.417 246.179 278.34 308.107 343.683 380.087 423.755 457.409 503.201 524.441 541.611 550.529 554.258 534.561 503.51 478.663 449.108 416.18 380.055 344.034 303.707 262.887 224.779 192.316 164.175 139.632 115.879 93.688 75.257 61.034 51.065 44.284 39.575 35.875 32.382 28.937 25.484 22.102 18.998 16.311 14.131 12.372 10.955 9.725 8.711 7.825 7.023 6.276 5.576 4.935 4.317 3.712 3.154 2.686 2.332 2.059 1.858 1.698 1.608 1.559 1.262 0.982 1.004 1.00 0.125 0.131 0.155 0.522 1.408 19.806 55.83 89.943 125.42 180.49 229.43 257.405 284.34 317.13 351.62 393.805 425.05 471.13 486.42 501.855 508.89 511.92 492.61 463.18 441.16 414.935 384.97 351.655 318.89 281.995 244.62 210.14 180.61 154.725 132.75 110.045 88.766 71.22 57.722 48.329 41.991 37.621 34.181 30.924 27.702 24.447 21.231 18.261 15.683 13.593 11.914 10.562 9.393 8.446 7.63 6.883 6.165 5.468 4.818 4.194 3.599 3.073 2.628 2.293 2.032 1.833 1.668 1.57 1.52 1.24 0.965 0.987 1.00 0.125 0.13 0.152 0.507 1.374 18.978 53.721 87.725 122.221 174.471 222.283 250.001 276.059 308.195 341.871 383.568 415.628 458.722 475.563 490.033 497.154 498.85 480.384 451.813 429.554 403.418 373.33 340.663 308.32 272.158 235.673 201.847 172.857 147.158 125.525 104.056 84.001 67.469 54.752 45.898 39.907 35.769 32.512 29.431 26.391 23.32 20.293 17.502 15.081 13.119 11.541 10.272 9.175 8.282 7.506 6.792 6.106 5.439 4.817 4.223 3.659 3.157 2.731 2.402 2.138 1.931 1.756 1.645 1.569 1.272 0.999 1.014 1.00 0.125 0.129 0.148 0.491 1.341 18.15 51.612 85.508 119.023 168.452 215.137 242.596 267.778 299.26 332.122 373.332 406.206 446.314 464.707 478.211 485.419 485.78 468.159 440.447 417.949 391.902 361.69 329.672 297.75 262.321 226.727 193.554 165.103 139.592 118.30 98.068 79.236 63.718 51.782 43.467 37.824 33.918 30.843 27.939 25.081 22.194 19.356 16.744 14.478 12.645 11.167 9.982 8.957 8.118 7.382 6.702 6.048 5.411 4.816 4.253 3.719 3.242 2.833 2.511 2.244 2.029 1.844 1.721 1.617 1.305 1.033 1.042 1.00 0.125 0.129 0.145 0.476 1.307 17.322 49.503 83.291 115.824 162.433 207.99 235.192 259.497 290.325 322.373 363.095 396.783 433.907 453.85 466.388 473.683 472.71 455.933 429.08 406.343 380.385 350.05 318.68 287.18 252.483 217.78 185.262 157.35 132.025 111.075 92.079 74.47 59.967 48.813 41.035 35.74 32.066 29.175 26.446 23.77 21.068 18.418 15.985 13.876 12.171 10.794 9.692 8.739 7.955 7.258 6.611 5.989 5.383 4.815 4.282 3.779 3.326 2.936 2.62 2.35 2.127 1.933 1.796 1.666 1.338 1.067 1.069 1.00 0.125 0.128 0.142 0.461 1.274 16.493 47.394 81.073 112.625 156.414 200.843 227.787 251.216 281.39 312.624 352.858 387.361 421.499 442.993 454.566 461.948 459.64 443.708 417.713 394.738 368.868 338.41 307.688 276.61 242.646 208.833 176.969 149.597 124.458 103.85 86.09 69.705 56.216 45.843 38.604 33.657 30.214 27.506 24.954 22.459 19.942 17.48 15.227 13.273 11.697 10.42 9.402 8.521 7.791 7.134 6.52 5.93 5.355 4.814 4.312 3.839 3.411 3.038 2.729 2.456 2.225 2.021 1.871 1.715 1.371 1.101 1.096 1.00 0.125 0.127 0.138 0.446 1.24 15.665 45.286 78.856 109.427 150.396 193.697 220.383 242.934 272.455 302.876 342.622 377.939 409.091 432.137 442.744 450.212 446.57 431.482 406.347 383.132 357.352 326.77 296.697 266.04 232.809 199.887 168.676 141.843 116.891 96.624 80.102 64.94 52.465 42.873 36.173 31.573 28.362 25.837 23.462 21.149 18.815 16.543 14.468 12.671 11.224 10.047 9.112 8.302 7.627 7.01 6.429 5.872 5.327 4.812 4.342 3.898 3.496 3.141 2.838 2.561 2.323 2.109 1.947 1.763 1.403 1.134 1.123 1.00 0.125 0.127 0.135 0.43 1.207 14.837 43.177 76.639 106.228 144.377 186.55 212.978 234.653 263.52 293.127 332.385 368.517 396.683 421.28 430.922 438.477 433.50 419.257 394.98 371.527 345.835 315.13 285.705 255.47 222.972 190.94 160.383 134.09 109.325 89.399 74.113 60.175 48.714 39.903 33.742 29.49 26.511 24.168 21.969 19.838 17.689 15.605 13.71 12.068 10.75 9.673 8.822 8.084 7.463 6.886 6.339 5.813 5.299 4.811 4.371 3.958 3.58 3.243 2.947 2.667 2.421 2.197 2.022 1.812 1.436 1.168 1.151 1.00 0.125 0.126 0.132 0.415 1.173 14.009 41.068 74.421 103.029 138.358 179.403 205.574 226.372 254.585 283.378 322.148 359.094 384.276 410.423 419.099 426.741 420.43 407.031 383.613 359.921 334.318 303.49 274.713 244.90 213.134 181.993 152.091 126.337 101.758 82.174 68.124 55.409 44.963 36.934 31.31 27.406 24.659 22.50 20.477 18.527 16.563 14.667 12.951 11.466 10.276 9.30 8.532 7.866 7.299 6.762 6.248 5.754 5.27 4.81 4.401 4.018 3.665 3.346 3.056 2.773 2.519 2.286 2.097 1.861 1.469 1.202 1.178 1.00 0.125 0.126 0.128 0.40 1.14 13.181 38.959 72.204 99.831 132.339 172.257 198.169 218.091 245.65 273.629 311.912 349.672 371.868 399.567 407.277 415.006 407.36 394.806 372.247 348.316 322.802 291.85 263.722 234.33 203.297 173.047 143.798 118.583 94.191 74.949 62.136 50.644 41.212 33.964 28.879 25.323 22.807 20.831 18.984 17.217 15.437 13.73 12.193 10.863 9.802 8.926 8.242 7.648 7.135 6.638 6.157 5.696 5.242 4.809 4.43 4.078 3.749 3.448 3.165 2.879 2.617 2.374 2.173 1.909 1.502 1.236 1.205 1.00 0.125 0.125 0.125 0.385 1.106 12.353 36.85 69.987 96.632 126.32 165.11 190.765 209.81 236.715 263.88 301.675 340.25 359.46 388.71 395.455 403.27 394.29 382.58 360.88 336.71 311.285 280.21 252.73 223.76 193.46 164.10 135.505 110.83 86.625 67.724 56.147 45.879 37.462 30.994 26.448 23.239 20.956 19.162 17.492 15.906 14.311 12.792 11.435 10.261 9.329 8.553 7.952 7.43 6.972 6.514 6.067 5.637 5.214 4.808 4.46 4.138 3.834 3.551 3.274 2.985 2.716 2.462 2.248 1.958 1.535 1.27 1.233 1.00 0.125 0.125 0.125 0.36 1.032 11.085 33.44 64.204 89.905 118.613 155.00 179.489 197.776 222.044 247.327 283.803 320.524 338.097 364.987 370.277 376.793 368.492 357.497 337.46 314.892 290.80 261.572 235.555 208.007 179.144 151.23 124.214 101.047 78.256 60.842 50.444 41.264 33.768 28.019 23.981 21.136 19.117 17.537 16.068 14.676 13.275 11.939 10.743 9.703 8.875 8.187 7.651 7.182 6.762 6.337 5.922 5.521 5.125 4.745 4.42 4.116 3.828 3.558 3.291 3.009 2.745 2.496 2.274 1.976 1.558 1.301 1.256 1.00 0.125 0.125 0.125 0.336 0.958 9.818 30.03 58.422 83.178 110.905 144.889 168.213 185.741 207.373 230.773 265.931 300.799 316.733 341.263 345.098 350.317 342.694 332.413 314.04 293.074 270.315 242.934 218.38 192.255 164.829 138.359 112.922 91.263 69.888 53.96 44.741 36.65 30.075 25.044 21.514 19.032 17.278 15.911 14.645 13.447 12.24 11.086 10.052 9.145 8.421 7.82 7.351 6.934 6.552 6.16 5.778 5.405 5.036 4.682 4.379 4.094 3.822 3.565 3.308 3.034 2.774 2.529 2.299 1.995 1.582 1.333 1.279 1.00 0.125 0.125 0.125 0.312 0.885 8.551 26.621 52.64 76.45 103.198 134.779 156.937 173.707 192.702 214.22 248.058 281.073 295.37 317.54 319.92 323.84 316.897 307.33 290.62 271.257 249.83 224.297 201.205 176.502 150.513 125.489 101.631 81.48 61.519 47.078 39.038 32.035 26.382 22.069 19.047 16.929 15.44 14.286 13.221 12.217 11.205 10.233 9.361 8.586 7.968 7.454 7.05 6.686 6.342 5.984 5.634 5.289 4.948 4.619 4.339 4.072 3.816 3.573 3.325 3.058 2.804 2.563 2.325 2.013 1.605 1.364 1.302 1.00 0.125 0.125 0.125 0.287 0.811 7.284 23.211 46.857 69.723 95.49 124.668 145.661 161.672 178.031 197.667 230.186 261.348 274.007 293.817 294.742 297.363 291.099 282.247 267.20 249.439 229.345 205.659 184.029 160.749 136.198 112.618 90.34 71.697 53.151 40.196 33.335 27.42 22.689 19.094 16.58 14.825 13.601 12.661 11.797 10.987 10.17 9.38 8.669 8.028 7.514 7.088 6.75 6.438 6.132 5.807 5.489 5.173 4.859 4.556 4.299 4.05 3.809 3.58 3.342 3.083 2.833 2.596 2.35 2.031 1.629 1.395 1.326 1.00 0.125 0.125 0.125 0.263 0.737 6.017 19.801 41.075 62.996 87.783 114.558 134.385 149.638 163.359 181.113 212.314 241.622 252.643 270.093 269.563 270.887 265.301 257.163 243.78 227.621 208.86 187.021 166.854 144.997 121.882 99.748 79.049 61.913 44.782 33.313 27.632 22.806 18.995 16.118 14.113 12.722 11.762 11.035 10.374 9.758 9.135 8.526 7.978 7.47 7.06 6.721 6.449 6.191 5.923 5.63 5.345 5.057 4.77 4.494 4.258 4.029 3.803 3.587 3.359 3.107 2.862 2.63 2.376 2.05 1.653 1.427 1.349 1.00 0.125 0.125 0.125 0.239 0.663 4.75 16.391 35.293 56.269 80.075 104.447 123.109 137.603 148.688 164.56 194.442 221.897 231.28 246.37 244.385 244.41 239.503 232.08 220.36 205.803 188.375 168.383 149.679 129.244 107.566 86.877 67.757 52.13 36.414 26.431 21.929 18.191 15.302 13.143 11.646 10.618 9.924 9.41 8.95 8.528 8.10 7.673 7.287 6.912 6.607 6.355 6.148 5.943 5.713 5.453 5.201 4.941 4.681 4.431 4.218 4.007 3.797 3.594 3.376 3.132 2.892 2.663 2.401 2.068 1.676 1.458 1.372 1.00 0.125 0.125 0.125 0.215 0.59 3.483 12.982 29.51 49.541 72.368 94.337 111.833 125.569 134.017 148.007 176.569 202.171 209.917 222.647 219.207 217.933 213.706 206.997 196.94 183.986 167.89 149.746 132.504 113.491 93.251 74.007 56.466 42.347 28.045 19.549 16.226 13.576 11.609 10.168 9.179 8.515 8.085 7.785 7.526 7.298 7.064 6.82 6.595 6.353 6.153 5.989 5.848 5.695 5.503 5.277 5.057 4.825 4.592 4.368 4.178 3.985 3.791 3.602 3.393 3.156 2.921 2.697 2.427 2.086 1.70 1.489 1.395 1.00 0.125 0.125 0.125 0.19 0.516 2.216 9.572 23.728 42.814 64.66 84.226 100.557 113.534 119.346 131.453 158.697 182.446 188.553 198.923 194.028 191.457 187.908 181.913 173.52 162.168 147.405 131.108 115.329 97.739 78.935 61.136 45.175 32.563 19.677 12.667 10.523 8.962 7.916 7.193 6.712 6.411 6.247 6.159 6.103 6.069 6.029 5.967 5.904 5.795 5.70 5.622 5.547 5.447 5.293 5.10 4.912 4.709 4.503 4.305 4.137 3.963 3.785 3.609 3.41 3.181 2.95 2.73 2.452 2.105 1.723 1.521 1.419 1.00 0.125 0.125 0.125 0.166 0.442 0.949 6.162 17.946 36.087 56.953 74.116 89.281 101.50 104.675 114.90 140.825 162.72 167.19 175.20 168.85 164.98 162.11 156.83 150.10 140.35 126.92 112.47 98.154 81.986 64.62 48.266 33.884 22.78 11.309 5.785 4.82 4.347 4.223 4.218 4.246 4.308 4.408 4.534 4.679 4.839 4.994 5.114 5.213 5.237 5.246 5.256 5.247 5.199 5.084 4.923 4.768 4.593 4.415 4.242 4.097 3.941 3.779 3.616 3.428 3.205 2.98 2.764 2.478 2.123 1.747 1.552 1.442 1.00 0.125 0.124 0.124 0.158 0.403 0.853 5.494 15.981 32.121 50.684 65.955 79.448 90.32 93.152 102.248 125.298 144.767 148.745 155.869 150.228 146.79 144.239 139.546 133.565 124.898 112.961 100.116 87.391 73.02 57.584 43.053 30.276 20.415 10.231 5.334 4.492 4.089 4.001 4.021 4.068 4.146 4.257 4.388 4.536 4.695 4.846 4.963 5.058 5.085 5.091 5.098 5.087 5.037 4.925 4.775 4.629 4.463 4.292 4.126 3.987 3.839 3.685 3.532 3.351 3.136 2.915 2.70 2.42 2.08 1.726 1.533 1.422 1.00 0.125 0.124 0.122 0.151 0.363 0.758 4.826 14.017 28.155 44.415 57.795 69.615 79.141 81.629 89.596 109.771 126.815 130.30 136.538 131.606 128.60 126.369 122.263 117.029 109.446 99.001 87.763 76.628 64.054 50.549 37.84 26.668 18.05 9.153 4.883 4.164 3.831 3.78 3.824 3.891 3.984 4.106 4.243 4.393 4.551 4.698 4.813 4.904 4.932 4.936 4.94 4.927 4.874 4.766 4.626 4.489 4.333 4.17 4.01 3.877 3.736 3.591 3.448 3.275 3.067 2.85 2.636 2.363 2.038 1.706 1.513 1.403 1.00 0.125 0.123 0.121 0.143 0.324 0.662 4.158 12.052 24.189 38.147 49.634 59.782 67.961 70.106 76.943 94.244 108.862 111.855 117.207 112.984 110.409 108.498 104.979 100.494 93.994 85.042 75.409 65.865 55.088 43.513 32.628 23.06 15.686 8.075 4.432 3.836 3.573 3.559 3.626 3.714 3.821 3.955 4.097 4.25 4.406 4.551 4.662 4.75 4.78 4.781 4.783 4.767 4.712 4.608 4.478 4.35 4.204 4.047 3.893 3.767 3.634 3.497 3.363 3.199 2.998 2.786 2.572 2.305 1.995 1.685 1.494 1.383 1.00 0.125 0.122 0.12 0.136 0.285 0.567 3.49 10.088 20.223 31.878 41.474 49.949 56.782 58.584 64.291 78.717 90.91 93.411 97.876 94.362 92.219 90.627 87.695 83.958 78.542 71.082 63.056 55.103 46.122 36.478 27.415 19.452 13.321 6.997 3.981 3.509 3.315 3.337 3.429 3.537 3.659 3.804 3.952 4.106 4.262 4.403 4.511 4.596 4.628 4.626 4.625 4.607 4.55 4.449 4.329 4.21 4.074 3.925 3.777 3.657 3.532 3.403 3.279 3.122 2.929 2.721 2.508 2.247 1.953 1.664 1.474 1.363 1.00 0.125 0.122 0.118 0.128 0.245 0.472 2.822 8.124 16.256 25.61 33.313 40.116 45.602 47.061 51.639 63.19 72.957 74.966 78.546 75.739 74.029 72.757 70.412 67.423 63.091 57.123 50.702 44.34 37.156 29.443 22.202 15.845 10.956 5.919 3.53 3.181 3.058 3.116 3.232 3.36 3.497 3.652 3.806 3.963 4.118 4.255 4.361 4.441 4.475 4.471 4.467 4.447 4.387 4.291 4.181 4.071 3.944 3.802 3.661 3.546 3.429 3.31 3.195 3.046 2.859 2.656 2.443 2.19 1.91 1.643 1.455 1.343 1.00 0.125 0.121 0.117 0.121 0.206 0.376 2.154 6.159 12.29 19.341 25.153 30.283 34.423 35.538 38.987 47.663 55.005 56.521 59.215 57.117 55.839 54.886 53.128 50.888 47.639 43.164 38.349 33.577 28.19 22.407 16.989 12.237 8.591 4.841 3.079 2.853 2.80 2.895 3.035 3.183 3.335 3.501 3.661 3.82 3.974 4.107 4.21 4.287 4.323 4.316 4.309 4.287 4.225 4.132 4.032 3.931 3.814 3.68 3.545 3.436 3.327 3.216 3.111 2.97 2.79 2.592 2.379 2.132 1.868 1.623 1.435 1.324 1.00 0.125 0.12 0.116 0.113 0.167 0.281 1.486 4.195 8.324 13.073 16.992 20.45 23.243 24.015 26.334 32.136 37.052 38.076 39.884 38.495 37.648 37.015 35.844 34.352 32.187 29.204 25.995 22.815 19.224 15.372 11.777 8.629 6.227 3.763 2.628 2.525 2.542 2.673 2.837 3.006 3.172 3.35 3.515 3.677 3.829 3.96 4.059 4.133 4.171 4.161 4.152 4.127 4.063 3.974 3.884 3.792 3.685 3.557 3.428 3.326 3.225 3.122 3.026 2.894 2.721 2.527 2.315 2.074 1.825 1.602 1.416 1.304 1.00 0.125 0.12 0.114 0.106 0.127 0.185 0.818 2.23 4.358 6.804 8.832 10.617 12.064 12.492 13.682 16.609 19.10 19.631 20.553 19.873 19.458 19.145 18.561 17.817 16.735 15.245 13.642 12.052 10.258 8.336 6.564 5.021 3.862 2.685 2.177 2.198 2.284 2.452 2.64 2.829 3.01 3.199 3.37 3.534 3.685 3.812 3.909 3.979 4.018 4.006 3.994 3.967 3.90 3.815 3.735 3.652 3.555 3.435 3.312 3.216 3.122 3.028 2.942 2.817 2.652 2.462 2.251 2.017 1.783 1.581 1.396 1.284 1.00 0.125 0.119 0.113 0.098 0.088 0.09 0.15 0.266 0.392 0.536 0.671 0.784 0.884 0.97 1.03 1.083 1.147 1.187 1.222 1.251 1.268 1.274 1.277 1.282 1.283 1.286 1.288 1.29 1.292 1.301 1.351 1.414 1.497 1.608 1.726 1.87 2.026 2.231 2.443 2.652 2.848 3.048 3.224 3.391 3.541 3.664 3.758 3.825 3.866 3.851 3.836 3.807 3.738 3.657 3.587 3.513 3.425 3.312 3.196 3.106 3.02 2.935 2.858 2.741 2.583 2.398 2.187 1.959 1.74 1.561 1.377 1.265 1.00 0.125 0.119 0.112 0.098 0.088 0.09 0.143 0.247 0.359 0.486 0.607 0.708 0.798 0.874 0.929 0.977 1.035 1.072 1.104 1.132 1.15 1.158 1.163 1.172 1.178 1.187 1.197 1.208 1.222 1.243 1.305 1.379 1.473 1.595 1.724 1.879 2.046 2.258 2.478 2.695 2.90 3.108 3.292 3.466 3.622 3.75 3.847 3.915 3.954 3.943 3.928 3.895 3.826 3.742 3.667 3.585 3.492 3.376 3.256 3.163 3.073 2.983 2.901 2.782 2.623 2.436 2.225 2.00 1.781 1.593 1.403 1.283 1.00 0.125 0.118 0.111 0.097 0.089 0.09 0.137 0.227 0.325 0.437 0.543 0.632 0.712 0.778 0.828 0.871 0.922 0.957 0.987 1.014 1.031 1.041 1.05 1.062 1.073 1.088 1.106 1.126 1.153 1.186 1.259 1.344 1.449 1.582 1.721 1.887 2.066 2.286 2.512 2.738 2.952 3.167 3.36 3.541 3.702 3.835 3.936 4.006 4.042 4.034 4.019 3.983 3.913 3.827 3.746 3.658 3.559 3.439 3.316 3.22 3.126 3.031 2.944 2.823 2.663 2.475 2.264 2.042 1.822 1.625 1.429 1.302 1.00 0.125 0.118 0.111 0.097 0.089 0.09 0.13 0.208 0.292 0.388 0.479 0.556 0.626 0.683 0.727 0.765 0.81 0.842 0.869 0.895 0.913 0.925 0.936 0.952 0.968 0.989 1.014 1.044 1.083 1.128 1.212 1.309 1.425 1.569 1.719 1.896 2.086 2.314 2.547 2.782 3.005 3.227 3.429 3.616 3.783 3.921 4.025 4.097 4.13 4.126 4.111 4.072 4.001 3.912 3.826 3.731 3.626 3.503 3.376 3.277 3.178 3.079 2.987 2.865 2.702 2.514 2.302 2.083 1.863 1.657 1.455 1.321 1.00 0.125 0.118 0.11 0.096 0.089 0.09 0.124 0.188 0.258 0.339 0.415 0.48 0.54 0.587 0.626 0.659 0.697 0.728 0.752 0.776 0.794 0.808 0.823 0.843 0.863 0.89 0.923 0.963 1.013 1.071 1.166 1.274 1.401 1.556 1.717 1.905 2.106 2.342 2.582 2.825 3.057 3.287 3.497 3.691 3.863 4.007 4.114 4.187 4.218 4.218 4.202 4.16 4.088 3.997 3.906 3.803 3.693 3.567 3.436 3.333 3.231 3.127 3.03 2.906 2.742 2.552 2.34 2.125 1.904 1.689 1.481 1.34 1.00 0.125 0.117 0.109 0.096 0.09 0.091 0.117 0.169 0.225 0.29 0.352 0.405 0.455 0.491 0.524 0.553 0.585 0.613 0.634 0.658 0.676 0.692 0.709 0.733 0.757 0.791 0.832 0.881 0.944 1.013 1.12 1.239 1.378 1.543 1.714 1.914 2.126 2.369 2.616 2.868 3.109 3.347 3.565 3.766 3.944 4.092 4.204 4.278 4.306 4.31 4.294 4.249 4.176 4.082 3.985 3.876 3.761 3.63 3.496 3.39 3.284 3.175 3.073 2.947 2.782 2.591 2.379 2.166 1.944 1.722 1.508 1.359 1.00 0.125 0.117 0.108 0.095 0.09 0.091 0.111 0.149 0.191 0.241 0.288 0.329 0.369 0.396 0.423 0.448 0.472 0.498 0.517 0.539 0.557 0.576 0.596 0.623 0.652 0.692 0.741 0.799 0.874 0.956 1.074 1.204 1.354 1.53 1.712 1.922 2.146 2.397 2.651 2.912 3.161 3.406 3.633 3.842 4.024 4.178 4.293 4.369 4.394 4.401 4.385 4.337 4.263 4.167 4.065 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3.176 3.196 3.194 3.176 3.136 3.079 3.012 2.934 2.849 2.757 2.663 2.57 2.485 2.397 2.301 2.199 2.084 1.95 1.808 1.65 1.477 1.303 1.125 0.974 1.00 0.125 0.117 0.106 0.095 0.091 0.087 0.083 0.081 0.081 0.08 0.079 0.078 0.076 0.079 0.082 0.088 0.091 0.101 0.112 0.121 0.126 0.145 0.16 0.182 0.209 0.241 0.28 0.336 0.397 0.474 0.566 0.674 0.79 0.928 1.07 1.231 1.402 1.586 1.775 1.967 2.156 2.34 2.513 2.67 2.81 2.928 3.03 3.103 3.153 3.173 3.172 3.154 3.113 3.056 2.988 2.91 2.827 2.735 2.643 2.553 2.468 2.381 2.287 2.185 2.07 1.938 1.798 1.643 1.471 1.298 1.121 0.974 1.00 0.125 0.117 0.106 0.095 0.089 0.084 0.079 0.077 0.077 0.076 0.075 0.074 0.073 0.075 0.078 0.083 0.085 0.095 0.106 0.115 0.121 0.139 0.154 0.177 0.203 0.235 0.274 0.329 0.391 0.467 0.56 0.666 0.783 0.92 1.061 1.221 1.393 1.576 1.764 1.955 2.142 2.326 2.498 2.652 2.791 2.908 3.008 3.08 3.13 3.15 3.15 3.131 3.09 3.033 2.964 2.887 2.804 2.713 2.623 2.535 2.451 2.365 2.273 2.172 2.056 1.926 1.787 1.635 1.465 1.293 1.118 0.974 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2.807 2.90 2.966 3.013 3.035 3.038 3.02 2.977 2.916 2.846 2.77 2.69 2.605 2.525 2.446 2.366 2.287 2.201 2.104 1.988 1.866 1.735 1.598 1.435 1.266 1.10 0.973 1.00 0.125 0.116 0.105 0.093 0.083 0.073 0.069 0.072 0.083 0.092 0.106 0.119 0.132 0.145 0.155 0.161 0.169 0.183 0.196 0.21 0.219 0.233 0.25 0.273 0.294 0.325 0.365 0.412 0.474 0.544 0.634 0.732 0.843 0.976 1.116 1.272 1.449 1.632 1.823 2.018 2.206 2.395 2.567 2.719 2.857 2.976 3.075 3.144 3.193 3.216 3.22 3.201 3.157 3.095 3.023 2.945 2.863 2.774 2.689 2.607 2.524 2.444 2.358 2.264 2.145 2.014 1.869 1.704 1.517 1.337 1.163 1.029 1.00 0.125 0.114 0.104 0.093 0.084 0.076 0.076 0.085 0.107 0.128 0.157 0.183 0.21 0.236 0.256 0.268 0.283 0.302 0.318 0.333 0.343 0.357 0.375 0.396 0.417 0.446 0.482 0.527 0.585 0.653 0.739 0.833 0.941 1.071 1.212 1.37 1.548 1.739 1.937 2.141 2.337 2.534 2.713 2.874 3.018 3.144 3.249 3.323 3.374 3.397 3.402 3.382 3.338 3.273 3.20 3.12 3.035 2.943 2.853 2.768 2.683 2.601 2.516 2.424 2.302 2.163 2.003 1.811 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0.703 0.714 0.73 0.749 0.763 0.785 0.807 0.835 0.871 0.919 0.981 1.056 1.138 1.236 1.358 1.502 1.663 1.847 2.057 2.278 2.509 2.729 2.948 3.151 3.339 3.503 3.65 3.773 3.86 3.915 3.939 3.947 3.925 3.879 3.809 3.73 3.646 3.553 3.45 3.344 3.251 3.158 3.072 2.988 2.905 2.773 2.609 2.406 2.132 1.844 1.621 1.414 1.255 1.00 0.125 0.108 0.097 0.093 0.089 0.088 0.107 0.14 0.206 0.274 0.362 0.44 0.52 0.597 0.658 0.693 0.738 0.778 0.808 0.826 0.838 0.854 0.874 0.886 0.908 0.928 0.953 0.986 1.03 1.09 1.162 1.24 1.334 1.453 1.599 1.761 1.947 2.164 2.392 2.632 2.86 3.087 3.297 3.494 3.664 3.819 3.948 4.039 4.095 4.12 4.129 4.106 4.06 3.988 3.907 3.822 3.726 3.619 3.508 3.412 3.317 3.229 3.146 3.065 2.93 2.757 2.54 2.239 1.926 1.692 1.477 1.312 1.00 0.125 0.107 0.095 0.092 0.09 0.091 0.115 0.154 0.231 0.311 0.414 0.504 0.597 0.687 0.758 0.799 0.851 0.897 0.931 0.949 0.962 0.978 0.998 1.008 1.031 1.048 1.071 1.101 1.142 1.199 1.268 1.341 1.433 1.549 1.696 1.858 2.047 2.27 2.505 2.755 2.991 3.225 3.443 3.649 3.826 3.988 4.123 4.218 4.275 4.301 4.31 4.287 4.24 4.167 4.083 3.997 3.899 3.788 3.671 3.573 3.475 3.386 3.303 3.226 3.087 2.906 2.675 2.345 2.008 1.763 1.54 1.368 1.00 0.125 0.105 0.094 0.092 0.091 0.094 0.122 0.167 0.255 0.347 0.465 0.568 0.675 0.778 0.859 0.906 0.965 1.016 1.053 1.072 1.086 1.102 1.123 1.131 1.154 1.169 1.188 1.215 1.253 1.308 1.373 1.443 1.531 1.644 1.792 1.956 2.146 2.376 2.619 2.878 3.122 3.363 3.589 3.804 3.987 4.156 4.297 4.397 4.456 4.482 4.492 4.468 4.421 4.345 4.26 4.173 4.071 3.957 3.835 3.734 3.634 3.543 3.461 3.386 3.244 3.054 2.809 2.452 2.09 1.834 1.603 1.425 1.00 0.125 0.104 0.092 0.092 0.092 0.097 0.13 0.181 0.28 0.384 0.516 0.632 0.752 0.868 0.959 1.012 1.079 1.135 1.176 1.195 1.21 1.227 1.248 1.253 1.277 1.289 1.306 1.33 1.364 1.417 1.479 1.545 1.629 1.74 1.889 2.054 2.246 2.483 2.733 3.001 3.253 3.502 3.735 3.959 4.149 4.325 4.472 4.576 4.636 4.663 4.674 4.65 4.601 4.524 4.437 4.348 4.244 4.126 3.999 3.895 3.792 3.701 3.618 3.546 3.401 3.203 2.943 2.559 2.172 1.905 1.666 1.481 1.00 0.125 0.105 0.094 0.096 0.10 0.116 0.176 0.498 1.437 2.831 4.295 6.022 7.595 9.647 11.673 13.441 14.652 15.287 15.239 14.496 14.107 14.067 13.924 13.439 12.691 11.942 10.86 9.611 8.279 6.918 5.433 4.172 3.092 2.289 2.106 2.167 2.318 2.527 2.751 2.994 3.227 3.459 3.68 3.894 4.077 4.246 4.387 4.488 4.548 4.575 4.587 4.566 4.523 4.448 4.36 4.267 4.159 4.036 3.907 3.80 3.696 3.60 3.515 3.44 3.299 3.112 2.87 2.511 2.142 1.855 1.617 1.442 1.00 0.125 0.106 0.096 0.099 0.108 0.136 0.222 0.815 2.594 5.279 8.075 11.412 14.438 18.426 22.387 25.87 28.226 29.439 29.301 27.797 27.003 26.908 26.60 25.626 24.104 22.596 20.414 17.892 15.194 12.419 9.386 6.799 4.555 2.838 2.322 2.281 2.389 2.571 2.769 2.988 3.202 3.417 3.624 3.829 4.004 4.166 4.302 4.40 4.46 4.488 4.50 4.482 4.444 4.372 4.283 4.186 4.074 3.947 3.814 3.705 3.599 3.50 3.411 3.335 3.198 3.02 2.797 2.464 2.112 1.806 1.568 1.403 1.00 0.125 0.107 0.098 0.103 0.115 0.156 0.268 1.132 3.751 7.727 11.854 16.802 21.282 27.206 33.10 38.30 41.799 43.591 43.364 41.098 39.90 39.749 39.275 37.812 35.518 33.249 29.968 26.172 22.109 17.921 13.34 9.426 6.018 3.387 2.539 2.394 2.461 2.615 2.787 2.982 3.176 3.375 3.569 3.763 3.932 4.087 4.217 4.312 4.372 4.401 4.413 4.398 4.366 4.296 4.206 4.105 3.988 3.857 3.722 3.611 3.503 3.40 3.308 3.229 3.096 2.929 2.724 2.416 2.082 1.756 1.518 1.364 1.00 0.125 0.108 0.10 0.107 0.123 0.176 0.314 1.449 4.908 10.174 15.633 22.192 28.125 35.985 43.814 50.729 55.373 57.744 57.427 54.399 52.797 52.59 51.951 49.998 46.932 43.903 39.522 34.453 29.024 23.422 17.294 12.053 7.481 3.936 2.755 2.508 2.533 2.66 2.805 2.976 3.151 3.333 3.513 3.698 3.86 4.007 4.132 4.224 4.284 4.314 4.326 4.314 4.288 4.22 4.129 4.024 3.903 3.768 3.629 3.516 3.406 3.30 3.205 3.124 2.994 2.837 2.651 2.369 2.052 1.707 1.469 1.325 1.00 0.125 0.11 0.102 0.11 0.131 0.196 0.36 1.766 6.065 12.622 19.413 27.583 34.968 44.764 54.528 63.158 68.946 71.896 71.489 67.701 65.693 65.431 64.627 62.185 58.345 54.556 49.076 42.734 35.938 28.923 21.247 14.68 8.944 4.485 2.972 2.622 2.604 2.704 2.824 2.97 3.125 3.291 3.458 3.633 3.787 3.928 4.048 4.136 4.196 4.227 4.24 4.23 4.209 4.144 4.053 3.944 3.818 3.678 3.537 3.421 3.31 3.20 3.101 3.018 2.893 2.746 2.579 2.321 2.021 1.658 1.42 1.285 1.00 0.125 0.111 0.104 0.114 0.139 0.216 0.406 2.083 7.222 15.07 23.192 32.973 41.811 53.543 65.242 75.587 82.52 86.048 85.552 81.002 78.59 78.272 77.303 74.371 69.759 65.209 58.63 51.015 42.853 34.424 25.201 17.308 10.407 5.034 3.188 2.735 2.676 2.748 2.842 2.964 3.10 3.249 3.402 3.568 3.715 3.848 3.963 4.049 4.108 4.14 4.153 4.146 4.131 4.068 3.976 3.863 3.733 3.589 3.444 3.326 3.213 3.10 2.998 2.913 2.791 2.655 2.506 2.274 1.991 1.608 1.371 1.246 1.00 0.125 0.112 0.106 0.118 0.146 0.236 0.452 2.40 8.379 17.517 26.971 38.363 48.655 62.322 75.955 88.017 96.093 100.20 99.615 94.303 91.487 91.113 89.978 86.557 81.173 75.863 68.184 59.295 49.768 39.925 29.155 19.935 11.87 5.583 3.405 2.849 2.748 2.792 2.86 2.958 3.074 3.207 3.347 3.502 3.643 3.769 3.878 3.961 4.02 4.053 4.066 4.062 4.053 3.992 3.899 3.782 3.647 3.499 3.352 3.232 3.117 2.999 2.895 2.807 2.689 2.563 2.433 2.226 1.961 1.559 1.321 1.207 1.00 0.125 0.113 0.108 0.121 0.154 0.256 0.498 2.717 9.536 19.965 30.751 43.753 55.498 71.101 86.669 100.446 109.667 114.353 113.677 107.604 104.383 103.954 102.654 98.744 92.586 86.516 77.738 67.576 56.683 45.426 33.108 22.562 13.333 6.132 3.621 2.962 2.819 2.837 2.878 2.952 3.049 3.165 3.291 3.437 3.57 3.689 3.793 3.873 3.932 3.966 3.979 3.978 3.974 3.916 3.822 3.701 3.562 3.41 3.259 3.137 3.02 2.899 2.791 2.702 2.588 2.472 2.36 2.179 1.931 1.509 1.272 1.168 1.00 0.125 0.115 0.11 0.125 0.162 0.276 0.544 3.034 10.693 22.413 34.53 49.143 62.341 79.881 97.383 112.875 123.24 128.505 127.74 120.905 117.28 116.795 115.33 110.93 104.00 97.17 87.292 75.857 63.598 50.928 37.062 25.189 14.796 6.681 3.838 3.076 2.891 2.881 2.896 2.946 3.023 3.123 3.236 3.372 3.498 3.61 3.708 3.785 3.844 3.879 3.892 3.894 3.896 3.841 3.745 3.62 3.477 3.32 3.167 3.042 2.924 2.799 2.688 2.596 2.486 2.381 2.287 2.131 1.901 1.46 1.223 1.129 1.00 0.125 0.116 0.112 0.134 0.203 0.526 1.881 6.125 15.413 28.993 43.752 60.783 75.993 94.845 113.062 128.229 138.361 145.231 147.423 143.594 140.77 140.708 138.778 133.321 125.254 116.89 105.875 93.133 79.706 65.524 50.074 36.512 24.484 15.337 11.047 9.075 7.806 6.865 6.138 5.635 5.31 5.119 4.996 4.919 4.851 4.781 4.707 4.627 4.547 4.467 4.383 4.301 4.229 4.115 3.973 3.809 3.633 3.444 3.259 3.098 2.947 2.794 2.654 2.547 2.433 2.33 2.241 2.102 1.899 1.476 1.227 1.14 1.00 0.125 0.117 0.114 0.144 0.244 0.777 3.218 9.216 20.134 35.574 52.974 72.423 89.645 109.81 128.74 143.584 153.482 161.956 167.107 166.283 164.26 164.62 162.225 155.712 146.509 136.61 124.458 110.41 95.814 80.12 63.086 47.836 34.172 23.994 18.256 15.074 12.72 10.85 9.38 8.325 7.597 7.116 6.756 6.465 6.203 5.952 5.706 5.469 5.25 5.056 4.874 4.709 4.561 4.39 4.20 3.999 3.788 3.568 3.351 3.153 2.97 2.788 2.619 2.497 2.381 2.279 2.194 2.072 1.898 1.493 1.23 1.152 1.00 0.125 0.118 0.117 0.153 0.284 1.027 4.555 12.306 24.854 42.154 62.197 84.064 103.297 124.775 144.419 158.938 168.603 178.682 186.79 188.972 187.75 188.533 185.673 178.103 167.763 156.33 143.041 127.686 111.922 94.717 76.098 59.159 43.861 32.65 25.464 21.073 17.635 14.834 12.622 11.014 9.883 9.113 8.516 8.012 7.556 7.123 6.704 6.311 5.952 5.644 5.366 5.117 4.894 4.664 4.428 4.188 3.944 3.692 3.444 3.209 2.992 2.783 2.585 2.448 2.328 2.229 2.148 2.043 1.896 1.509 1.234 1.163 1.00 0.125 0.119 0.119 0.162 0.325 1.278 5.892 15.397 29.575 48.735 71.419 95.704 116.949 139.74 160.097 174.293 183.724 195.407 206.473 211.66 211.24 212.446 209.121 200.494 189.018 176.05 161.624 144.963 128.03 109.313 89.11 70.483 53.549 41.307 32.673 27.072 22.549 18.819 15.864 13.704 12.17 11.11 10.276 9.559 8.909 8.294 7.703 7.153 6.655 6.232 5.857 5.525 5.226 4.939 4.655 4.377 4.099 3.816 3.536 3.265 3.015 2.778 2.55 2.398 2.275 2.178 2.102 2.013 1.894 1.525 1.238 1.174 1.00 0.125 0.12 0.121 0.171 0.366 1.529 7.228 18.488 34.295 55.315 80.641 107.344 130.602 154.705 175.776 189.647 198.846 212.133 226.157 234.349 234.73 236.359 232.569 222.886 210.272 195.77 180.208 162.239 144.138 123.909 102.122 81.806 63.237 49.963 39.882 33.072 27.464 22.803 19.106 16.393 14.457 13.107 12.037 11.105 10.261 9.464 8.702 7.995 7.358 6.821 6.348 5.933 5.559 5.213 4.883 4.567 4.255 3.941 3.628 3.32 3.038 2.772 2.516 2.349 2.223 2.128 2.055 1.984 1.893 1.541 1.241 1.186 1.00 0.125 0.122 0.123 0.181 0.407 1.779 8.565 21.579 39.016 61.896 89.863 118.984 144.254 169.67 191.454 205.002 213.967 228.858 245.84 257.038 258.22 260.272 256.017 245.277 231.527 215.49 198.791 179.516 160.246 138.506 115.134 93.13 72.925 58.62 47.091 39.071 32.378 26.788 22.348 19.083 16.744 15.104 13.797 12.652 11.614 10.635 9.701 8.837 8.061 7.409 6.839 6.341 5.891 5.488 5.11 4.756 4.41 4.065 3.72 3.376 3.061 2.767 2.481 2.30 2.17 2.077 2.009 1.954 1.891 1.558 1.245 1.197 1.00 0.125 0.123 0.126 0.19 0.447 2.03 9.902 24.669 43.736 68.476 99.086 130.625 157.906 184.635 207.133 220.356 229.088 245.584 265.523 279.727 281.71 284.184 279.464 267.668 252.781 235.21 217.374 196.792 176.354 153.102 128.146 104.453 82.614 67.276 54.299 45.07 37.293 30.772 25.59 21.772 19.03 17.101 15.557 14.199 12.967 11.806 10.699 9.679 8.763 7.997 7.331 6.748 6.224 5.762 5.338 4.945 4.566 4.189 3.813 3.432 3.083 2.762 2.447 2.25 2.117 2.027 1.963 1.925 1.889 1.574 1.249 1.208 1.00 0.125 0.124 0.128 0.199 0.488 2.28 11.239 27.76 48.457 75.057 108.308 142.265 171.558 199.60 222.811 235.71 244.209 262.309 285.207 302.416 305.20 308.097 302.912 290.059 274.035 254.93 235.957 214.068 192.462 167.699 141.158 115.776 92.302 75.933 61.508 51.069 42.207 34.757 28.832 24.462 21.317 19.098 17.317 15.745 14.319 12.977 11.698 10.521 9.466 8.586 7.822 7.156 6.556 6.037 5.565 5.135 4.721 4.313 3.905 3.487 3.106 2.756 2.412 2.201 2.065 1.976 1.916 1.895 1.888 1.59 1.252 1.22 1.00 0.125 0.125 0.13 0.209 0.529 2.531 12.576 30.851 53.177 81.638 117.53 153.905 185.21 214.565 238.49 251.065 259.33 279.035 304.89 325.105 328.69 332.01 326.36 312.45 295.29 274.65 254.54 231.345 208.57 182.295 154.17 127.10 101.99 84.589 68.717 57.068 47.122 38.741 32.074 27.152 23.604 21.095 19.077 17.292 15.672 14.148 12.697 11.364 10.169 9.174 8.313 7.564 6.889 6.311 5.793 5.324 4.877 4.437 3.997 3.543 3.129 2.751 2.378 2.152 2.012 1.926 1.87 1.866 1.886 1.607 1.256 1.231 1.00 0.125 0.125 0.146 0.236 0.61 3.682 16.585 37.955 63.526 96.395 136.112 173.914 205.135 232.837 256.463 272.233 287.433 309.479 337.674 358.788 364.801 369.263 362.988 346.738 327.856 305.479 282.954 258.077 232.998 204.432 174.178 144.839 118.718 99.938 82.191 68.578 56.535 46.28 38.101 31.93 27.529 24.468 22.015 19.81 17.801 15.901 14.096 12.468 11.03 9.851 8.846 7.988 7.222 6.567 5.966 5.42 4.92 4.471 4.046 3.615 3.206 2.795 2.407 2.167 2.021 1.928 1.871 1.872 1.913 1.622 1.262 1.239 1.00 0.125 0.125 0.162 0.264 0.69 4.832 20.594 45.058 73.875 111.154 154.694 193.924 225.061 251.108 274.437 293.402 315.537 339.924 370.459 392.471 400.912 406.517 399.616 381.026 360.423 336.308 311.369 284.808 257.426 226.568 194.186 162.579 135.446 115.287 95.664 80.087 65.948 53.819 44.129 36.709 31.454 27.842 24.954 22.327 19.93 17.653 15.495 13.573 11.891 10.527 9.379 8.412 7.555 6.823 6.14 5.517 4.963 4.504 4.094 3.687 3.283 2.839 2.435 2.183 2.029 1.93 1.873 1.878 1.941 1.637 1.269 1.248 1.00 0.125 0.125 0.178 0.291 0.771 5.983 24.602 52.162 84.225 125.912 173.277 213.933 244.987 269.38 292.41 314.57 343.64 370.369 403.244 426.154 437.024 443.77 436.244 415.314 392.99 367.137 339.784 311.54 281.853 248.705 214.193 180.318 152.173 130.636 109.138 91.597 75.361 61.357 50.156 41.488 35.379 31.215 27.892 24.845 22.06 19.406 16.894 14.678 12.752 11.204 9.912 8.836 7.889 7.08 6.313 5.613 5.006 4.538 4.143 3.759 3.36 2.883 2.464 2.199 2.038 1.932 1.874 1.883 1.968 1.653 1.275 1.256 1.00 0.125 0.125 0.194 0.319 0.851 7.134 28.611 59.266 94.574 140.67 191.859 233.943 264.912 287.652 310.383 335.738 371.743 400.813 436.028 459.836 473.134 481.023 472.871 449.601 425.557 397.966 368.198 338.272 306.281 270.842 234.201 198.058 168.901 145.985 122.612 103.107 84.774 68.896 56.184 46.266 39.304 34.589 30.831 27.363 24.189 21.158 18.293 15.783 13.613 11.88 10.445 9.26 8.222 7.336 6.486 5.71 5.049 4.572 4.191 3.831 3.437 2.927 2.493 2.215 2.046 1.934 1.876 1.889 1.996 1.668 1.281 1.265 1.00 0.125 0.125 0.209 0.347 0.932 8.285 32.62 66.37 104.923 155.428 210.441 253.952 284.838 305.923 328.357 356.907 399.847 431.257 468.812 493.519 509.246 518.277 509.499 483.889 458.124 428.795 396.612 365.004 330.709 292.978 254.209 215.797 185.629 161.334 136.085 114.616 94.188 76.435 62.211 51.045 43.228 37.962 33.769 29.881 26.318 22.911 19.693 16.888 14.475 12.557 10.978 9.685 8.555 7.592 6.66 5.806 5.091 4.605 4.24 3.903 3.515 2.97 2.521 2.231 2.055 1.936 1.877 1.895 2.023 1.683 1.288 1.273 1.00 0.125 0.125 0.225 0.374 1.012 9.435 36.629 73.473 115.272 170.186 229.023 273.962 304.763 324.195 346.33 378.075 427.95 461.702 501.597 527.202 545.357 555.53 546.127 518.177 490.69 459.623 425.027 391.735 355.137 315.115 274.217 233.537 202.357 176.683 149.559 126.126 103.601 83.974 68.239 55.824 47.153 41.336 36.708 32.398 28.447 24.664 21.092 17.993 15.336 13.233 11.511 10.109 8.888 7.848 6.833 5.903 5.134 4.639 4.288 3.975 3.592 3.014 2.55 2.247 2.063 1.938 1.879 1.901 2.051 1.699 1.294 1.282 1.00 0.125 0.125 0.241 0.402 1.093 10.586 40.637 80.577 125.622 184.944 247.606 293.971 324.689 342.467 364.303 399.243 456.054 492.146 534.381 560.885 581.468 592.784 582.755 552.465 523.257 490.452 453.441 418.467 379.565 337.252 294.225 251.276 219.085 192.032 163.033 137.636 113.014 91.513 74.266 60.603 51.078 44.709 39.646 34.916 30.577 26.416 22.491 19.098 16.197 13.91 12.044 10.533 9.222 8.105 7.006 5.999 5.177 4.673 4.337 4.047 3.669 3.058 2.579 2.263 2.072 1.94 1.88 1.906 2.078 1.714 1.30 1.29 1.00 0.125 0.125 0.257 0.429 1.173 11.737 44.646 87.681 135.971 199.702 266.188 313.981 344.614 360.738 382.277 420.412 484.157 522.591 567.166 594.567 617.579 630.037 619.382 586.752 555.823 521.281 481.856 445.198 403.992 359.388 314.232 269.016 235.812 207.381 176.506 149.145 122.427 99.051 80.294 65.381 55.003 48.083 42.585 37.434 32.706 28.169 23.89 20.203 17.058 14.586 12.577 10.957 9.555 8.361 7.18 6.096 5.22 4.706 4.385 4.119 3.746 3.102 2.607 2.279 2.08 1.942 1.882 1.912 2.106 1.73 1.307 1.299 1.00 0.125 0.125 0.273 0.457 1.254 12.888 48.655 94.785 146.32 214.46 284.77 333.99 364.54 379.01 400.25 441.58 512.26 553.035 599.95 628.25 653.69 667.29 656.01 621.04 588.39 552.11 510.27 471.93 428.42 381.525 334.24 286.755 252.54 222.73 189.98 160.655 131.84 106.59 86.321 70.16 58.928 51.456 45.523 39.952 34.835 29.922 25.289 21.308 17.919 15.263 13.11 11.381 9.888 8.617 7.353 6.192 5.263 4.74 4.434 4.191 3.823 3.146 2.636 2.295 2.089 1.944 1.883 1.918 2.133 1.745 1.313 1.307 1.00 0.125 0.126 0.259 0.451 1.273 13.097 49.503 96.469 148.763 216.028 287.052 336.961 368.866 386.811 410.981 453.472 520.527 562.755 611.868 639.838 664.577 677.798 665.353 630.235 597.127 559.458 516.592 477.021 432.856 385.264 337.143 288.621 252.908 221.736 188.423 159.23 130.706 105.729 85.671 69.785 58.719 51.315 45.453 39.949 34.885 30.025 25.433 21.466 18.075 15.409 13.24 11.502 10.002 8.724 7.467 6.321 5.401 4.862 4.529 4.253 3.861 3.185 2.67 2.324 2.109 1.958 1.884 1.912 2.099 1.712 1.274 1.276 1.00 0.125 0.127 0.246 0.445 1.293 13.307 50.351 98.153 151.207 217.597 289.334 339.932 373.191 394.611 421.712 465.363 528.793 572.475 623.786 651.426 675.463 688.307 674.697 639.43 605.863 566.806 522.914 482.112 437.291 389.003 340.047 290.487 253.276 220.742 186.867 157.805 129.571 104.867 85.022 69.411 58.51 51.173 45.383 39.947 34.935 30.129 25.578 21.625 18.231 15.554 13.369 11.622 10.116 8.832 7.582 6.45 5.54 4.984 4.624 4.315 3.90 3.225 2.703 2.353 2.129 1.971 1.885 1.905 2.066 1.678 1.235 1.245 1.00 0.125 0.128 0.232 0.439 1.312 13.517 51.199 99.837 153.65 219.165 291.617 342.903 377.517 402.412 432.443 477.255 537.06 582.195 635.703 663.013 686.35 698.815 684.04 648.625 614.60 574.153 529.237 487.203 441.727 392.742 342.95 292.353 253.643 219.748 185.31 156.38 128.437 104.006 84.372 69.036 58.301 51.032 45.314 39.945 34.985 30.232 25.722 21.783 18.388 15.70 13.499 11.743 10.23 8.939 7.696 6.579 5.678 5.106 4.718 4.377 3.938 3.264 2.737 2.383 2.149 1.985 1.886 1.899 2.032 1.645 1.197 1.214 1.00 0.125 0.129 0.218 0.433 1.332 13.727 52.047 101.521 156.093 220.733 293.899 345.874 381.842 410.212 443.174 489.147 545.327 591.915 647.621 674.601 697.237 709.323 693.383 657.82 623.337 581.501 535.559 492.294 446.162 396.481 345.853 294.219 254.011 218.754 183.753 154.955 127.302 103.145 83.723 68.661 58.092 50.891 45.244 39.943 35.035 30.336 25.866 21.942 18.544 15.845 13.629 11.863 10.344 9.047 7.811 6.707 5.816 5.227 4.813 4.439 3.976 3.304 2.771 2.412 2.169 1.998 1.887 1.893 1.998 1.611 1.158 1.182 1.00 0.125 0.13 0.205 0.428 1.351 13.937 52.894 103.205 158.537 222.302 296.181 348.846 386.168 418.013 453.906 501.038 553.593 601.635 659.539 686.189 708.123 719.832 702.727 667.015 632.073 588.849 541.881 497.386 450.598 400.219 348.757 296.086 254.379 217.761 182.197 153.53 126.168 102.284 83.073 68.286 57.884 50.749 45.174 39.941 35.085 30.439 26.011 22.10 18.70 15.991 13.758 11.984 10.457 9.154 7.925 6.836 5.955 5.349 4.908 4.502 4.015 3.343 2.804 2.441 2.188 2.012 1.889 1.887 1.965 1.578 1.119 1.151 1.00 0.125 0.131 0.191 0.422 1.371 14.147 53.742 104.889 160.98 223.87 298.463 351.817 390.493 425.813 464.637 512.93 561.86 611.355 671.457 697.777 719.01 730.34 712.07 676.21 640.81 596.197 548.203 502.477 455.033 403.958 351.66 297.952 254.747 216.767 180.64 152.105 125.033 101.422 82.424 67.912 57.675 50.608 45.104 39.939 35.135 30.543 26.155 22.258 18.856 16.137 13.888 12.104 10.571 9.262 8.04 6.965 6.093 5.471 5.003 4.564 4.053 3.382 2.838 2.47 2.208 2.025 1.89 1.88 1.931 1.544 1.08 1.12 1.00 0.125 0.132 0.177 0.416 1.39 14.357 54.59 106.573 163.423 225.438 300.746 354.788 394.819 433.614 475.368 524.822 570.127 621.075 683.374 709.364 729.897 740.848 721.413 685.405 649.547 603.544 554.526 507.568 459.469 407.697 354.563 299.818 255.114 215.773 179.083 150.68 123.899 100.561 81.774 67.537 57.466 50.467 45.035 39.937 35.185 30.646 26.299 22.417 19.013 16.282 14.018 12.225 10.685 9.369 8.154 7.094 6.231 5.593 5.097 4.626 4.091 3.422 2.872 2.499 2.228 2.039 1.891 1.874 1.897 1.511 1.042 1.089 1.00 0.125 0.133 0.164 0.41 1.41 14.567 55.438 108.257 165.867 227.007 303.028 357.759 399.144 441.414 486.099 536.713 578.393 630.795 695.292 720.952 740.783 751.357 730.757 694.60 658.283 610.892 560.848 512.659 463.904 411.436 357.467 301.684 255.482 214.779 177.527 149.255 122.764 99.70 81.125 67.162 57.257 50.325 44.965 39.935 35.235 30.75 26.444 22.575 19.169 16.428 14.147 12.345 10.799 9.477 8.269 7.223 6.37 5.715 5.192 4.688 4.13 3.461 2.905 2.528 2.248 2.052 1.892 1.868 1.864 1.477 1.003 1.058 1.00 0.125 0.134 0.15 0.404 1.429 14.777 56.286 109.941 168.31 228.575 305.31 360.73 403.47 449.215 496.83 548.605 586.66 640.515 707.21 732.54 751.67 761.865 740.10 703.795 667.02 618.24 567.17 517.75 468.34 415.175 360.37 303.55 255.85 213.785 175.97 147.83 121.63 98.839 80.475 66.788 57.048 50.184 44.895 39.933 35.285 30.853 26.588 22.734 19.325 16.574 14.277 12.466 10.913 9.584 8.383 7.352 6.508 5.837 5.287 4.751 4.168 3.501 2.939 2.558 2.268 2.066 1.893 1.862 1.83 1.444 0.964 1.027 1.00 0.125 0.135 0.152 0.43 1.48 15.774 58.612 112.043 172.063 235.372 314.183 370.621 416.837 465.987 514.571 569.733 609.433 668.124 729.176 752.774 770.753 779.464 756.72 718.713 681.241 632.616 581.191 530.542 479.632 424.691 367.948 309.502 259.99 216.614 178.48 149.794 123.244 100.069 81.452 67.608 57.77 50.832 45.494 40.523 35.878 31.444 27.172 23.305 19.876 17.092 14.767 12.924 11.343 9.992 8.773 7.722 6.846 6.128 5.525 4.942 4.326 3.639 3.067 2.674 2.371 2.153 1.974 1.931 1.882 1.479 0.968 1.031 1.00 0.125 0.136 0.153 0.456 1.532 16.771 60.939 114.144 175.817 242.169 323.057 380.511 430.203 482.758 532.312 590.862 632.207 695.734 751.141 773.008 789.837 797.063 773.34 733.632 695.462 646.992 595.212 543.333 490.924 434.206 375.526 315.453 264.13 219.444 180.99 151.758 124.859 101.299 82.43 68.429 58.491 51.48 46.092 41.114 36.47 32.034 27.756 23.876 20.427 17.61 15.257 13.382 11.773 10.399 9.163 8.093 7.183 6.42 5.764 5.134 4.484 3.778 3.195 2.791 2.474 2.241 2.055 2.001 1.935 1.514 0.972 1.036 1.00 0.125 0.137 0.155 0.482 1.583 17.767 63.265 116.246 179.57 248.967 331.93 390.402 443.57 499.53 550.053 611.99 654.98 723.343 773.107 793.242 808.92 814.662 789.96 748.55 709.683 661.368 609.233 556.125 502.217 443.722 383.103 321.405 268.27 222.273 183.50 153.722 126.473 102.529 83.407 69.249 59.213 52.128 46.691 41.704 37.063 32.625 28.34 24.448 20.978 18.129 15.748 13.841 12.203 10.807 9.553 8.464 7.521 6.712 6.002 5.325 4.641 3.917 3.323 2.908 2.576 2.328 2.135 2.07 1.987 1.549 0.975 1.041 1.00 0.125 0.138 0.156 0.508 1.635 18.764 65.592 118.347 183.323 255.764 340.803 400.292 456.937 516.302 567.794 633.118 677.753 750.953 795.072 813.475 828.003 832.26 806.58 763.468 723.904 675.744 623.254 568.917 513.509 453.237 390.681 327.357 272.41 225.103 186.01 155.686 128.088 103.759 84.384 70.07 59.935 52.776 47.289 42.294 37.656 33.215 28.924 25.019 21.529 18.647 16.238 14.299 12.633 11.215 9.943 8.835 7.859 7.004 6.241 5.517 4.799 4.056 3.451 3.024 2.679 2.416 2.216 2.14 2.04 1.584 0.979 1.045 1.00 0.125 0.14 0.158 0.534 1.686 19.761 67.918 120.449 187.077 262.561 349.677 410.183 470.303 533.073 585.536 654.247 700.527 778.562 817.038 833.709 847.087 849.859 823.20 778.387 738.126 690.121 637.276 581.708 524.801 462.753 398.259 333.308 276.55 227.932 188.52 157.649 129.702 104.989 85.362 70.891 60.656 53.425 47.888 42.885 38.248 33.806 29.508 25.59 22.08 19.165 16.728 14.758 13.063 11.622 10.332 9.206 8.196 7.296 6.479 5.708 4.957 4.195 3.578 3.141 2.782 2.503 2.297 2.209 2.092 1.618 0.983 1.05 1.00 0.125 0.141 0.159 0.56 1.738 20.758 70.245 122.55 190.83 269.358 358.55 420.073 483.67 549.845 603.277 675.375 723.30 806.172 839.003 853.943 866.17 867.458 839.82 793.305 752.347 704.497 651.297 594.50 536.093 472.268 405.837 339.26 280.69 230.762 191.03 159.613 131.317 106.22 86.339 71.711 61.378 54.073 48.486 43.475 38.841 34.397 30.092 26.162 22.631 19.684 17.218 15.216 13.493 12.03 10.722 9.577 8.534 7.588 6.718 5.90 5.115 4.334 3.706 3.258 2.885 2.591 2.378 2.279 2.145 1.653 0.987 1.055 1.00 0.125 0.142 0.161 0.586 1.789 21.754 72.571 124.652 194.583 276.156 367.423 429.964 497.037 566.617 621.018 696.503 746.073 833.781 860.969 874.177 885.253 885.057 856.44 808.223 766.568 718.873 665.318 607.292 547.386 481.784 413.414 345.212 284.83 233.591 193.54 161.577 132.931 107.45 87.316 72.532 62.10 54.721 49.085 44.065 39.434 34.987 30.676 26.733 23.182 20.202 17.709 15.675 13.923 12.438 11.112 9.948 8.872 7.88 6.956 6.091 5.272 4.473 3.834 3.374 2.987 2.678 2.458 2.348 2.197 1.688 0.99 1.059 1.00 0.125 0.143 0.162 0.612 1.841 22.751 74.898 126.753 198.337 282.953 376.297 439.854 510.403 583.388 638.759 717.632 768.847 861.39 882.934 894.411 904.337 902.656 873.06 823.142 780.789 733.249 679.339 620.083 558.678 491.299 420.992 351.163 288.97 236.421 196.05 163.541 134.546 108.68 88.294 73.352 62.821 55.369 49.683 44.656 40.026 35.578 31.26 27.305 23.733 20.72 18.199 16.133 14.353 12.845 11.502 10.319 9.209 8.172 7.195 6.283 5.43 4.612 3.962 3.491 3.09 2.766 2.539 2.418 2.25 1.723 0.994 1.064 1.00 0.125 0.145 0.164 0.638 1.892 23.748 77.224 128.855 202.09 289.75 385.17 449.745 523.77 600.16 656.50 738.76 791.62 889.00 904.90 914.645 923.42 920.255 889.68 838.06 795.01 747.625 693.36 632.875 569.97 500.815 428.57 357.115 293.11 239.25 198.56 165.505 136.16 109.91 89.271 74.173 63.543 56.017 50.282 45.246 40.619 36.169 31.844 27.876 24.284 21.239 18.689 16.592 14.783 13.253 11.892 10.69 9.547 8.464 7.433 6.474 5.588 4.751 4.09 3.608 3.193 2.854 2.62 2.487 2.302 1.758 0.998 1.069 1.00 0.125 0.144 0.163 0.609 1.813 22.172 73.716 124.457 195.017 279.225 371.441 434.667 504.827 577.214 631.819 709.339 759.741 852.304 870.511 882.329 891.234 888.444 859.34 810.762 768.81 722.379 669.802 611.275 550.606 483.675 413.89 344.743 283.032 231.206 191.328 159.528 131.274 105.96 86.057 71.488 61.229 53.964 48.431 43.572 39.107 34.816 30.651 26.828 23.37 20.44 17.985 15.964 14.22 12.743 11.432 10.278 9.183 8.145 7.159 6.237 5.386 4.582 3.945 3.481 3.081 2.758 2.53 2.393 2.211 1.69 0.962 1.029 1.00 0.125 0.144 0.161 0.581 1.733 20.597 70.208 120.06 187.943 268.699 357.712 419.589 485.883 554.268 607.138 679.917 727.862 815.608 836.122 850.013 859.047 856.632 829.00 783.463 742.61 697.133 646.244 589.674 531.241 466.534 399.21 332.371 272.954 223.162 184.096 153.551 126.388 102.01 82.843 68.803 58.915 51.911 46.579 41.897 37.595 33.464 29.458 25.779 22.457 19.641 17.28 15.337 13.657 12.234 10.971 9.866 8.819 7.827 6.885 6.00 5.184 4.414 3.80 3.354 2.969 2.662 2.44 2.299 2.121 1.621 0.926 0.99 1.00 0.125 0.144 0.16 0.553 1.654 19.021 66.701 115.662 180.87 258.173 343.983 404.512 466.94 531.322 582.457 650.495 695.983 778.911 801.733 817.696 826.86 824.82 798.66 756.165 716.41 671.887 622.687 568.073 511.877 449.393 384.53 319.998 262.877 215.118 176.863 147.573 121.502 98.06 79.628 66.118 56.60 49.857 44.728 40.223 36.083 32.112 28.265 24.731 21.543 18.842 16.576 14.71 13.094 11.724 10.511 9.454 8.454 7.509 6.611 5.764 4.982 4.245 3.655 3.227 2.858 2.567 2.35 2.205 2.03 1.553 0.89 0.95 1.00 0.125 0.143 0.158 0.525 1.574 17.446 63.193 111.264 173.797 247.648 330.254 389.434 447.997 508.376 557.776 621.073 664.104 742.216 767.344 785.381 794.673 793.008 768.32 728.867 690.21 646.641 599.129 546.473 492.512 432.253 369.85 307.626 252.799 207.074 169.631 141.596 116.616 94.11 76.414 63.434 54.286 47.804 42.877 38.549 34.571 30.76 27.072 23.683 20.629 18.043 15.871 14.083 12.531 11.215 10.051 9.042 8.09 7.191 6.337 5.527 4.78 4.077 3.51 3.10 2.746 2.471 2.26 2.111 1.94 1.484 0.854 0.911 1.00 0.125 0.143 0.157 0.497 1.495 15.87 59.685 106.866 166.723 237.122 316.526 374.356 429.053 485.429 533.094 591.652 632.226 705.519 732.956 753.064 762.487 761.197 737.98 701.568 664.01 621.394 575.571 524.872 473.148 415.112 355.17 295.254 242.721 199.031 162.399 135.619 111.729 90.16 73.20 60.749 51.972 45.751 41.025 36.874 33.058 29.408 25.88 22.635 19.716 17.244 15.167 13.456 11.968 10.705 9.59 8.63 7.726 6.872 6.064 5.29 4.579 3.909 3.365 2.973 2.634 2.375 2.171 2.017 1.849 1.416 0.819 0.871 1.00 0.125 0.143 0.155 0.469 1.415 14.295 56.177 102.469 159.65 226.597 302.797 359.278 410.11 462.483 508.413 562.23 600.347 668.823 698.567 720.748 730.30 729.385 707.64 674.27 637.81 596.148 552.013 503.272 453.783 397.972 340.49 282.882 232.643 190.987 155.167 129.642 106.843 86.21 69.986 58.064 49.658 43.698 39.174 35.20 31.546 28.056 24.687 21.586 18.802 16.445 14.462 12.829 11.405 10.195 9.13 8.218 7.362 6.554 5.79 5.053 4.377 3.74 3.22 2.846 2.522 2.28 2.081 1.923 1.759 1.347 0.783 0.832 1.00 0.125 0.142 0.154 0.441 1.336 12.719 52.67 98.071 152.577 216.071 289.068 344.201 391.167 439.537 483.732 532.808 568.468 632.127 664.178 688.432 698.113 697.573 677.30 646.972 611.61 570.902 528.456 481.671 434.419 380.831 325.81 270.509 222.566 182.943 147.934 123.664 101.957 82.26 66.771 55.379 47.343 41.644 37.323 33.526 30.034 26.704 23.494 20.538 17.888 15.646 13.758 12.201 10.842 9.686 8.67 7.806 6.997 6.236 5.516 4.816 4.175 3.572 3.075 2.719 2.411 2.184 1.991 1.829 1.668 1.279 0.747 0.792 1.00 0.125 0.142 0.152 0.413 1.256 11.144 49.162 93.673 145.503 205.546 275.339 329.123 372.223 416.591 459.051 503.387 536.589 595.431 629.789 656.116 665.927 665.762 646.96 619.673 585.41 545.656 504.898 460.071 415.054 363.691 311.13 258.137 212.488 174.899 140.702 117.687 97.071 78.31 63.557 52.694 45.029 39.591 35.471 31.851 28.522 25.352 22.301 19.49 16.975 14.847 13.053 11.574 10.279 9.176 8.209 7.394 6.633 5.918 5.242 4.579 3.973 3.403 2.93 2.592 2.299 2.089 1.901 1.735 1.578 1.21 0.711 0.753 1.00 0.125 0.142 0.151 0.385 1.177 9.568 45.654 89.276 138.43 195.02 261.61 314.045 353.28 393.645 434.37 473.965 504.71 558.735 595.40 623.80 633.74 633.95 616.62 592.375 559.21 520.41 481.34 438.47 395.69 346.55 296.45 245.765 202.41 166.855 133.47 111.71 92.185 74.361 60.343 50.01 42.715 37.538 33.62 30.177 27.01 24.00 21.108 18.442 16.061 14.048 12.349 10.947 9.716 8.667 7.749 6.982 6.269 5.60 4.968 4.343 3.771 3.235 2.785 2.465 2.187 1.993 1.811 1.641 1.487 1.142 0.675 0.714 1.00