Photometric File Details

  Filename:   BOLRD-PS24C-Q-3C-BK-180R-30K.IES
 
  More Information:   https://stanprols.com/
 
  Classification:  
Luminaire Lumens1484
EfficiencyN.A.
IES ClassificationType III
Longitudinal ClassificationVery Short
Cutoff Classification (deprecated)N.A.
Upward Waste Light Ratio0.07
CIE TypeDirect
Luminaire Efficacy Rating (LER)62
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 11:44:19 [LAMPPOSITION] 0,0 [OTHER] EVERFINE GO-2000B_V1 SYSTEM [MANUFAC] STANPRO [LUMINAIRE] BOLRD-PS24C-Q-3C-BK-180R-30K [LUMCAT] BOLRD-PS24C-Q-3C-BK-180R-30K [LAMP] 1484 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 24.0944 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 0.144 0.153 0.36 1.149 7.602 45.319 86.807 140.77 195.20 260.05 311.925 348.39 381.38 420.09 450.58 468.30 563.095 594.36 603.985 613.59 614.84 599.85 580.08 541.69 509.405 467.61 424.42 383.62 337.01 287.90 239.66 197.43 165.165 130.65 108.745 89.748 72.484 58.737 48.636 41.491 36.436 32.613 29.245 26.17 23.249 20.455 17.902 15.59 13.624 11.968 10.607 9.433 8.399 7.502 6.766 6.086 5.444 4.835 4.233 3.686 3.166 2.739 2.433 2.165 1.968 1.786 1.597 1.476 1.135 0.662 0.703 1.00 0.125 0.143 0.153 0.36 1.153 7.70 44.906 86.568 140.398 194.411 260.109 312.007 347.541 379.676 417.644 448.467 467.399 560.911 591.342 601.503 611.297 613.796 598.967 577.995 540.248 508.054 466.509 422.989 382.088 335.508 286.508 238.472 196.936 164.60 130.20 108.394 89.388 72.233 58.544 48.455 41.278 36.163 32.299 28.898 25.787 22.837 20.033 17.49 15.205 13.276 11.658 10.332 9.186 8.171 7.279 6.536 5.866 5.258 4.687 4.129 3.612 3.10 2.674 2.372 2.109 1.917 1.739 1.56 1.448 1.11 0.664 0.707 1.00 0.125 0.142 0.153 0.361 1.158 7.799 44.493 86.33 140.026 193.622 260.168 312.089 346.692 377.972 415.199 446.353 466.498 558.727 588.324 599.022 609.003 612.751 598.083 575.91 538.806 506.704 465.408 421.558 380.556 334.006 285.116 237.284 196.441 164.035 129.75 108.044 89.027 71.983 58.351 48.273 41.065 35.891 31.986 28.55 25.405 22.426 19.611 17.078 14.82 12.928 11.347 10.058 8.938 7.943 7.056 6.307 5.646 5.072 4.54 4.025 3.538 3.033 2.609 2.31 2.053 1.866 1.693 1.523 1.42 1.085 0.666 0.712 1.00 0.125 0.142 0.153 0.361 1.162 7.897 44.08 86.091 139.653 192.833 260.227 312.172 345.843 376.268 412.753 444.24 465.597 556.543 585.307 596.54 606.71 611.707 597.20 573.825 537.363 505.353 464.307 420.127 379.023 332.503 283.723 236.097 195.947 163.47 129.30 107.693 88.667 71.733 58.159 48.092 40.852 35.619 31.672 28.203 25.022 22.015 19.19 16.667 14.436 12.58 11.037 9.783 8.691 7.715 6.834 6.077 5.426 4.886 4.392 3.922 3.464 2.967 2.544 2.249 1.998 1.815 1.646 1.486 1.392 1.06 0.667 0.716 1.00 0.125 0.141 0.153 0.362 1.166 7.996 43.667 85.853 139.281 192.044 260.286 312.254 344.994 374.564 410.308 442.127 464.696 554.359 582.289 594.058 604.417 610.662 596.317 571.74 535.921 504.003 463.206 418.696 377.491 331.001 282.331 234.909 195.452 162.905 128.85 107.343 88.307 71.483 57.966 47.91 40.639 35.346 31.359 27.855 24.639 21.604 18.768 16.255 14.051 12.232 10.726 9.509 8.443 7.488 6.611 5.848 5.206 4.70 4.244 3.818 3.39 2.901 2.479 2.187 1.942 1.763 1.60 1.449 1.364 1.035 0.669 0.72 1.00 0.125 0.14 0.153 0.362 1.171 8.094 43.255 85.614 138.909 191.256 260.344 312.336 344.146 372.861 407.862 440.013 463.794 552.176 579.271 591.577 602.123 609.618 595.433 569.655 534.479 502.652 462.104 417.264 375.959 329.499 280.939 233.721 194.958 162.34 128.40 106.992 87.946 71.233 57.773 47.729 40.426 35.074 31.045 27.508 24.257 21.192 18.346 15.843 13.666 11.885 10.416 9.234 8.196 7.26 6.388 5.619 4.987 4.514 4.097 3.714 3.316 2.835 2.414 2.126 1.886 1.712 1.553 1.413 1.335 1.01 0.671 0.725 1.00 0.125 0.139 0.153 0.362 1.175 8.193 42.842 85.376 138.537 190.467 260.403 312.418 343.297 371.157 405.417 437.90 462.893 549.992 576.253 589.095 599.83 608.573 594.55 567.57 533.037 501.302 461.003 415.833 374.427 327.997 279.547 232.533 194.463 161.775 127.95 106.642 87.586 70.983 57.58 47.548 40.213 34.802 30.732 27.161 23.874 20.781 17.924 15.432 13.281 11.537 10.105 8.96 7.948 7.032 6.165 5.389 4.767 4.328 3.949 3.611 3.242 2.768 2.349 2.064 1.83 1.661 1.507 1.376 1.307 0.985 0.673 0.729 1.00 0.125 0.139 0.153 0.363 1.179 8.291 42.429 85.137 138.164 189.678 260.462 312.501 342.448 369.453 402.971 435.787 461.992 547.808 573.236 586.613 597.537 607.529 593.667 565.485 531.594 499.951 459.902 414.402 372.894 326.494 278.154 231.346 193.969 161.21 127.50 106.291 87.226 70.733 57.388 47.366 40.00 34.53 30.418 26.813 23.491 20.37 17.503 15.02 12.897 11.189 9.795 8.685 7.701 6.804 5.943 5.16 4.547 4.142 3.801 3.507 3.168 2.702 2.284 2.003 1.775 1.61 1.46 1.339 1.279 0.96 0.674 0.733 1.00 0.125 0.138 0.153 0.363 1.184 8.39 42.016 84.899 137.792 188.889 260.521 312.583 341.599 367.749 400.526 433.673 461.091 545.624 570.218 584.132 595.243 606.484 592.783 563.40 530.152 498.601 458.801 412.971 371.362 324.992 276.762 230.158 193.474 160.645 127.05 105.941 86.865 70.483 57.195 47.185 39.787 34.257 30.105 26.466 23.109 19.959 17.081 14.608 12.512 10.841 9.484 8.411 7.453 6.577 5.72 4.93 4.327 3.956 3.654 3.404 3.094 2.636 2.219 1.941 1.719 1.559 1.414 1.302 1.251 0.935 0.676 0.738 1.00 0.125 0.137 0.153 0.364 1.188 8.488 41.603 84.66 137.42 188.10 260.58 312.665 340.75 366.045 398.08 431.56 460.19 543.44 567.20 581.65 592.95 605.44 591.90 561.315 528.71 497.25 457.70 411.54 369.83 323.49 275.37 228.97 192.98 160.08 126.60 105.59 86.505 70.233 57.002 47.004 39.574 33.985 29.791 26.119 22.726 19.548 16.659 14.197 12.127 10.494 9.174 8.137 7.206 6.349 5.497 4.701 4.107 3.77 3.506 3.30 3.02 2.57 2.154 1.88 1.663 1.508 1.367 1.265 1.223 0.91 0.678 0.742 1.00 0.125 0.138 0.155 0.415 1.306 10.817 46.602 92.316 146.371 201.049 274.978 327.839 358.561 387.702 421.967 462.389 489.914 570.882 599.317 614.494 627.476 639.674 624.674 592.538 558.344 523.846 482.423 434.786 391.013 341.774 291.189 242.582 203.812 169.188 134.642 112.278 91.957 74.592 60.572 50.053 42.297 36.495 32.117 28.251 24.645 21.245 18.143 15.477 13.227 11.442 9.996 8.849 7.825 6.885 5.959 5.108 4.467 4.088 3.787 3.539 3.213 2.718 2.273 1.972 1.737 1.577 1.439 1.345 1.302 0.975 0.733 0.793 1.00 0.125 0.14 0.157 0.466 1.423 13.145 51.601 99.972 155.322 213.998 289.376 343.013 376.372 409.359 445.853 493.219 519.639 598.324 631.433 647.338 662.001 673.909 657.449 623.762 587.979 550.442 507.147 458.032 412.197 360.058 307.008 256.194 214.644 178.296 142.684 118.966 97.408 78.951 64.143 53.102 45.02 39.005 34.443 30.383 26.563 22.943 19.626 16.757 14.328 12.39 10.817 9.562 8.445 7.422 6.422 5.515 4.827 4.405 4.069 3.779 3.406 2.867 2.393 2.065 1.811 1.647 1.512 1.426 1.381 1.04 0.788 0.845 1.00 0.125 0.141 0.159 0.517 1.541 15.474 56.601 107.628 164.273 226.947 303.773 358.187 394.183 431.017 469.74 524.048 549.363 625.767 663.55 680.182 696.527 708.143 690.223 654.985 617.613 577.038 531.87 481.278 433.38 378.342 322.827 269.807 225.477 187.403 150.727 125.653 102.86 83.31 67.713 56.151 47.743 41.515 36.769 32.515 28.482 24.64 21.11 18.037 15.428 13.338 11.639 10.275 9.064 7.958 6.884 5.922 5.187 4.723 4.35 4.018 3.599 3.016 2.512 2.157 1.885 1.717 1.584 1.506 1.46 1.104 0.843 0.896 1.00 0.125 0.143 0.161 0.568 1.659 17.803 61.60 115.284 173.224 239.896 318.171 373.361 411.994 452.674 493.627 554.878 579.088 653.209 695.667 713.026 731.052 742.378 722.998 686.208 647.248 603.634 556.593 504.524 454.563 396.626 338.646 283.419 236.309 196.511 158.769 132.341 108.312 87.669 71.284 59.20 50.466 44.025 39.095 34.647 30.40 26.338 22.594 19.317 16.528 14.286 12.46 10.988 9.684 8.495 7.346 6.329 5.547 5.041 4.631 4.258 3.792 3.164 2.631 2.25 1.959 1.787 1.657 1.587 1.539 1.169 0.898 0.948 1.00 0.125 0.144 0.162 0.619 1.776 20.131 66.599 122.941 182.176 252.844 332.569 388.534 429.806 474.331 517.513 585.707 608.812 680.651 727.783 745.869 765.578 776.612 755.772 717.432 676.882 630.231 581.317 527.771 475.747 414.909 354.464 297.031 247.141 205.619 166.811 139.029 113.763 92.029 74.854 62.249 53.19 46.535 41.42 36.779 32.319 28.035 24.077 20.597 17.629 15.234 13.282 11.70 10.303 9.031 7.809 6.736 5.907 5.359 4.913 4.497 3.984 3.313 2.751 2.342 2.034 1.857 1.729 1.667 1.618 1.234 0.952 0.999 1.00 0.125 0.146 0.164 0.671 1.894 22.46 71.598 130.597 191.127 265.793 346.967 403.708 447.617 495.988 541.40 616.537 638.537 708.093 759.90 778.713 800.103 810.847 788.547 748.655 706.517 656.827 606.04 551.017 496.93 433.193 370.283 310.643 257.973 214.727 174.853 145.717 119.215 96.388 78.425 65.298 55.913 49.045 43.746 38.911 34.237 29.733 25.561 21.877 18.729 16.182 14.103 12.413 10.923 9.567 8.271 7.143 6.267 5.676 5.194 4.736 4.177 3.462 2.87 2.435 2.108 1.927 1.802 1.747 1.697 1.299 1.007 1.05 1.00 0.125 0.147 0.166 0.722 2.012 24.789 76.598 138.253 200.078 278.742 361.364 418.882 465.428 517.646 565.287 647.366 668.261 735.536 792.017 811.557 834.629 845.081 821.321 779.878 736.151 683.423 630.763 574.263 518.113 451.477 386.102 324.256 268.806 223.834 182.896 152.404 124.667 100.747 81.995 68.347 58.636 51.555 46.072 41.043 36.156 31.43 27.045 23.157 19.829 17.13 14.925 13.126 11.542 10.104 8.733 7.55 6.627 5.994 5.475 4.976 4.37 3.611 2.989 2.527 2.182 1.997 1.874 1.828 1.776 1.363 1.062 1.102 1.00 0.125 0.149 0.168 0.773 2.129 27.117 81.597 145.909 209.029 291.691 375.762 434.056 483.239 539.303 589.173 678.196 697.986 762.978 824.133 844.401 869.154 879.316 854.096 811.102 765.786 710.019 655.487 597.509 539.297 469.761 401.921 337.868 279.638 232.942 190.938 159.092 130.118 105.106 85.566 71.396 61.359 54.065 48.398 43.175 38.074 33.128 28.528 24.437 20.93 18.078 15.746 13.839 12.162 10.64 9.196 7.957 6.987 6.312 5.757 5.215 4.563 3.759 3.109 2.62 2.256 2.067 1.947 1.908 1.855 1.428 1.117 1.153 1.00 0.125 0.15 0.17 0.824 2.247 29.446 86.596 153.565 217.98 304.64 390.16 449.23 501.05 560.96 613.06 709.025 727.71 790.42 856.25 877.245 903.68 913.55 886.87 842.325 795.42 736.615 680.21 620.755 560.48 488.045 417.74 351.48 290.47 242.05 198.98 165.78 135.57 109.465 89.136 74.445 64.082 56.575 50.724 45.307 39.993 34.826 30.012 25.718 22.03 19.026 16.568 14.552 12.781 11.177 9.658 8.365 7.347 6.63 6.038 5.455 4.756 3.908 3.228 2.712 2.33 2.137 2.019 1.989 1.934 1.493 1.172 1.205 1.00 0.125 0.149 0.168 0.792 2.165 28.509 84.327 147.956 208.721 291.743 374.034 428.777 477.022 534.615 585.97 674.584 693.426 757.551 817.968 838.546 862.72 871.387 845.193 801.916 757.101 701.486 647.962 591.719 534.244 465.447 398.859 336.12 278.546 232.664 191.881 159.776 130.515 105.336 85.74 71.626 61.701 54.545 48.962 43.781 38.697 33.737 29.095 24.943 21.373 18.463 16.086 14.137 12.431 10.895 9.451 8.216 7.229 6.513 5.914 5.323 4.634 3.82 3.166 2.669 2.30 2.107 1.983 1.945 1.89 1.468 1.153 1.184 1.00 0.125 0.148 0.167 0.76 2.082 27.573 82.059 142.346 199.462 278.846 357.909 408.324 452.994 508.27 558.88 640.144 659.141 724.682 779.686 799.846 821.76 829.223 803.517 761.506 718.782 666.356 615.714 562.684 508.009 442.848 379.978 320.76 266.621 223.278 184.782 153.771 125.459 101.208 82.344 68.808 59.32 52.516 47.20 42.255 37.401 32.649 28.178 24.169 20.716 17.901 15.605 13.723 12.081 10.614 9.244 8.068 7.111 6.396 5.789 5.192 4.512 3.733 3.104 2.627 2.27 2.076 1.947 1.902 1.846 1.444 1.134 1.164 1.00 0.125 0.147 0.165 0.729 2.00 26.636 79.79 136.737 190.203 265.948 341.783 387.872 428.967 481.925 531.79 605.703 624.857 691.813 741.403 761.147 780.80 787.06 761.84 721.097 680.463 631.227 583.467 533.648 481.773 420.25 361.097 305.40 254.697 213.892 177.683 147.767 120.404 97.079 78.948 65.989 56.94 50.486 45.438 40.729 36.105 31.56 27.261 23.395 20.058 17.339 15.123 13.308 11.731 10.333 9.038 7.919 6.994 6.279 5.665 5.061 4.39 3.645 3.041 2.584 2.241 2.046 1.911 1.859 1.802 1.419 1.115 1.144 1.00 0.125 0.146 0.164 0.697 1.918 25.699 77.521 131.128 180.944 253.051 325.658 367.419 404.939 455.58 504.70 571.263 590.572 658.944 703.121 722.447 739.84 744.897 720.163 680.687 642.144 596.097 551.219 504.613 455.538 397.652 342.216 290.04 242.772 204.506 170.584 141.762 115.349 92.95 75.552 63.171 54.559 48.456 43.676 39.202 34.809 30.472 26.344 22.62 19.401 16.777 14.642 12.894 11.381 10.052 8.831 7.771 6.876 6.163 5.541 4.93 4.268 3.557 2.979 2.541 2.211 2.015 1.875 1.816 1.758 1.394 1.096 1.124 1.00 0.125 0.145 0.162 0.665 1.835 24.762 75.253 125.519 171.686 240.154 309.532 346.966 380.911 429.235 477.61 536.822 556.288 626.076 664.839 683.748 698.88 702.733 678.487 640.278 603.826 560.968 518.971 475.577 429.302 375.053 323.334 274.68 230.848 195.119 163.486 135.758 110.293 88.822 72.155 60.352 52.178 46.426 41.915 37.676 33.512 29.383 25.428 21.846 18.744 16.215 14.16 12.48 11.03 9.771 8.624 7.623 6.758 6.046 5.416 4.799 4.145 3.469 2.917 2.498 2.181 1.985 1.838 1.773 1.715 1.369 1.077 1.104 1.00 0.125 0.144 0.161 0.633 1.753 23.826 72.984 119.909 162.427 227.257 293.407 326.513 356.883 402.89 450.52 502.382 522.003 593.207 626.557 645.048 657.92 660.57 636.81 599.868 565.507 525.838 486.723 446.542 403.067 352.455 304.453 259.32 218.923 185.733 156.387 129.753 105.238 84.693 68.759 57.534 49.797 44.397 40.153 36.15 32.216 28.295 24.511 21.072 18.087 15.653 13.679 12.065 10.68 9.49 8.417 7.474 6.64 5.929 5.292 4.668 4.023 3.382 2.855 2.456 2.151 1.954 1.802 1.73 1.671 1.345 1.058 1.084 1.00 0.125 0.143 0.159 0.601 1.671 22.889 70.715 114.30 153.168 214.359 277.281 306.061 332.856 376.545 423.43 467.941 487.719 560.338 588.274 606.349 616.96 618.407 595.133 559.459 527.188 490.709 454.476 417.506 376.831 329.857 285.572 243.96 206.999 176.347 149.288 123.749 100.183 80.564 65.363 54.715 47.417 42.367 38.391 34.624 30.92 27.206 23.594 20.297 17.429 15.09 13.197 11.651 10.33 9.208 8.211 7.326 6.523 5.812 5.168 4.537 3.901 3.294 2.792 2.413 2.122 1.924 1.766 1.686 1.627 1.32 1.039 1.064 1.00 0.125 0.142 0.158 0.569 1.588 21.952 68.447 108.691 143.909 201.462 261.156 285.608 308.828 350.20 396.34 433.501 453.434 527.469 549.992 567.649 576.00 576.243 553.457 519.049 488.869 455.579 422.228 388.471 350.596 307.258 266.691 228.60 195.074 166.961 142.189 117.744 95.127 76.436 61.967 51.897 45.036 40.337 36.629 33.098 29.624 26.118 22.677 19.523 16.772 14.528 12.716 11.236 9.98 8.927 8.004 7.177 6.405 5.696 5.043 4.406 3.779 3.206 2.73 2.37 2.092 1.893 1.73 1.643 1.583 1.295 1.02 1.044 1.00 0.125 0.141 0.156 0.538 1.506 21.016 66.178 103.082 134.65 188.565 245.03 265.155 284.80 323.855 369.25 399.06 419.15 494.60 511.71 528.95 535.04 534.08 511.78 478.64 450.55 420.45 389.98 359.435 324.36 284.66 247.81 213.24 183.15 157.575 135.09 111.74 90.072 72.307 58.571 49.078 42.655 38.308 34.867 31.572 28.328 25.029 21.76 18.749 16.115 13.966 12.234 10.822 9.63 8.646 7.797 7.029 6.287 5.579 4.919 4.275 3.657 3.119 2.668 2.328 2.062 1.863 1.694 1.60 1.539 1.271 1.001 1.024 1.00 0.125 0.139 0.153 0.52 1.461 20.187 62.568 98.977 129.921 181.26 235.648 255.936 275.186 312.953 356.911 385.657 410.256 480.26 496.032 512.011 518.529 516.482 495.94 464.31 436.634 407.743 376.894 347.492 312.901 274.614 238.49 204.707 175.272 149.965 127.826 105.724 85.282 68.514 55.55 46.584 40.511 36.391 33.128 30.007 26.94 23.826 20.748 17.916 15.443 13.428 11.804 10.486 9.37 8.447 7.644 6.914 6.21 5.536 4.907 4.297 3.713 3.201 2.771 2.435 2.165 1.956 1.778 1.669 1.583 1.299 1.031 1.048 1.00 0.125 0.137 0.15 0.503 1.415 19.358 58.959 94.873 125.193 173.955 226.266 246.716 265.571 302.051 344.572 372.254 401.361 465.92 480.354 495.071 502.018 498.884 480.10 449.98 422.719 395.036 363.809 335.549 301.442 264.569 229.17 196.174 167.394 142.355 120.561 99.708 80.493 64.72 52.528 44.09 38.366 34.474 31.388 28.443 25.552 22.623 19.736 17.084 14.771 12.89 11.374 10.15 9.11 8.248 7.491 6.798 6.134 5.493 4.895 4.318 3.77 3.284 2.874 2.543 2.267 2.05 1.863 1.738 1.627 1.328 1.062 1.072 1.00 0.125 0.135 0.147 0.485 1.37 18.529 55.349 90.769 120.464 166.65 216.883 237.497 255.957 291.148 332.233 358.852 392.467 451.58 464.677 478.132 485.507 481.287 464.26 435.65 408.803 382.328 350.723 323.607 289.983 254.523 219.85 187.642 159.517 134.745 113.297 93.692 75.703 60.927 49.507 41.596 36.222 32.557 29.649 26.879 24.164 21.419 18.724 16.252 14.099 12.352 10.943 9.813 8.85 8.049 7.337 6.683 6.057 5.451 4.883 4.34 3.826 3.367 2.977 2.651 2.37 2.143 1.947 1.807 1.671 1.357 1.092 1.096 1.00 0.125 0.134 0.144 0.468 1.324 17.701 51.739 86.665 115.736 159.345 207.501 228.277 246.342 280.246 319.894 345.449 383.572 437.24 448.999 461.192 468.996 463.689 448.42 421.32 394.888 369.621 337.638 311.664 278.524 244.478 210.53 179.109 151.639 127.135 106.033 87.675 70.914 57.134 46.485 39.102 34.077 30.64 27.91 25.314 22.776 20.216 17.712 15.42 13.427 11.814 10.513 9.477 8.59 7.85 7.184 6.567 5.981 5.408 4.871 4.362 3.882 3.45 3.08 2.759 2.472 2.237 2.032 1.876 1.715 1.385 1.122 1.12 1.00 0.125 0.132 0.141 0.45 1.279 16.872 48.13 82.561 111.007 152.04 198.119 219.058 236.728 269.344 307.556 332.046 374.678 422.90 433.321 444.253 452.484 446.091 432.58 406.99 380.972 356.914 324.552 299.721 267.066 234.432 201.21 170.576 143.761 119.525 98.768 81.659 66.124 53.34 43.464 36.607 31.933 28.724 26.17 23.75 21.389 19.013 16.701 14.588 12.754 11.275 10.083 9.141 8.331 7.651 7.031 6.452 5.904 5.365 4.86 4.383 3.939 3.533 3.182 2.867 2.575 2.33 2.116 1.945 1.76 1.414 1.153 1.143 1.00 0.125 0.13 0.138 0.433 1.233 16.043 44.52 78.457 106.279 144.735 188.737 209.838 227.113 258.442 295.217 318.643 365.783 408.56 417.643 427.313 435.973 428.493 416.74 392.66 367.057 344.207 311.467 287.778 255.607 224.387 191.89 162.043 135.883 111.915 91.504 75.643 61.335 49.547 40.442 34.113 29.788 26.807 24.431 22.186 20.001 17.81 15.689 13.756 12.082 10.737 9.653 8.805 8.071 7.452 6.878 6.337 5.828 5.322 4.848 4.405 3.995 3.616 3.285 2.975 2.677 2.424 2.201 2.014 1.804 1.443 1.183 1.167 1.00 0.125 0.128 0.135 0.415 1.188 15.214 40.91 74.353 101.55 137.43 179.354 200.619 217.499 247.539 282.878 305.241 356.889 394.22 401.966 410.374 419.462 410.896 400.90 378.33 353.141 331.499 298.381 275.836 244.148 214.341 182.57 153.511 128.006 104.305 84.24 69.627 56.545 45.754 37.421 31.619 27.644 24.89 22.692 20.622 18.613 16.606 14.677 12.923 11.41 10.199 9.222 8.468 7.811 7.253 6.724 6.221 5.751 5.28 4.836 4.427 4.051 3.698 3.388 3.082 2.78 2.517 2.285 2.083 1.848 1.471 1.213 1.191 1.00 0.125 0.127 0.132 0.398 1.142 14.386 37.301 70.249 96.822 130.125 169.972 191.399 207.884 236.637 270.539 291.838 347.994 379.88 386.288 393.434 402.951 393.298 385.06 364.00 339.226 318.792 285.296 263.893 232.689 204.296 173.25 144.978 120.128 96.695 76.975 63.611 51.756 41.96 34.399 29.125 25.499 22.973 20.952 19.057 17.225 15.403 13.665 12.091 10.738 9.661 8.792 8.132 7.551 7.054 6.571 6.106 5.675 5.237 4.824 4.448 4.108 3.781 3.491 3.19 2.882 2.611 2.37 2.152 1.892 1.50 1.244 1.215 1.00 0.125 0.125 0.129 0.38 1.097 13.557 33.691 66.145 92.093 122.82 160.59 182.18 198.27 225.735 258.20 278.435 339.10 365.54 370.61 376.495 386.44 375.70 369.22 349.67 325.31 306.085 272.21 251.95 221.23 194.25 163.93 136.445 112.25 89.085 69.711 57.595 46.966 38.167 31.378 26.631 23.355 21.057 19.213 17.493 15.837 14.20 12.653 11.259 10.066 9.123 8.362 7.796 7.291 6.855 6.418 5.991 5.598 5.194 4.812 4.47 4.164 3.864 3.594 3.298 2.985 2.704 2.454 2.221 1.936 1.529 1.274 1.239 1.00 0.125 0.125 0.129 0.356 1.018 12.147 30.224 60.959 85.332 115.891 151.507 172.509 189.091 214.503 243.656 261.598 320.879 344.338 348.286 353.504 361.563 351.45 345.159 326.978 304.863 286.261 253.859 234.709 205.753 179.623 150.874 124.772 101.997 80.379 62.598 51.724 42.223 34.397 28.358 24.138 21.233 19.202 17.577 16.066 14.611 13.173 11.811 10.582 9.525 8.688 8.011 7.507 7.053 6.651 6.246 5.848 5.483 5.105 4.747 4.427 4.138 3.852 3.594 3.31 3.006 2.731 2.484 2.246 1.956 1.552 1.304 1.264 1.00 0.125 0.125 0.128 0.332 0.939 10.736 26.758 55.773 78.572 108.961 142.424 162.838 179.912 203.271 229.111 244.761 302.658 323.136 325.961 330.514 336.687 327.20 321.098 304.286 284.417 266.436 235.508 217.469 190.275 164.996 137.818 113.098 91.744 71.673 55.484 45.853 37.481 30.627 25.337 21.645 19.11 17.347 15.942 14.639 13.385 12.146 10.969 9.905 8.983 8.254 7.661 7.218 6.815 6.447 6.074 5.705 5.368 5.016 4.682 4.384 4.111 3.84 3.594 3.321 3.026 2.757 2.514 2.271 1.976 1.575 1.335 1.29 1.00 0.125 0.125 0.128 0.309 0.86 9.326 23.291 50.588 71.811 102.032 133.341 153.168 170.733 192.038 214.567 227.923 284.437 301.933 303.637 307.523 311.81 302.95 297.037 281.593 263.97 246.612 217.157 200.229 174.798 150.37 124.762 101.425 81.492 62.967 48.371 39.983 32.738 26.858 22.317 19.151 16.988 15.493 14.306 13.212 12.159 11.12 10.127 9.227 8.442 7.819 7.31 6.929 6.577 6.243 5.901 5.562 5.253 4.927 4.617 4.341 4.085 3.828 3.595 3.333 3.047 2.784 2.544 2.296 1.996 1.598 1.365 1.315 1.00 0.125 0.125 0.127 0.285 0.781 7.915 19.824 45.402 65.051 95.102 124.258 143.497 161.554 180.806 200.022 211.086 266.216 280.731 281.312 284.533 286.933 278.70 272.976 258.901 243.523 226.787 198.806 182.988 159.321 135.743 111.706 89.751 71.239 54.261 41.257 34.112 27.995 23.088 19.297 16.658 14.865 13.638 12.671 11.785 10.933 10.093 9.285 8.55 7.90 7.384 6.959 6.64 6.339 6.039 5.729 5.419 5.138 4.838 4.552 4.297 4.058 3.816 3.595 3.344 3.067 2.811 2.574 2.321 2.016 1.621 1.395 1.34 1.00 0.125 0.125 0.127 0.261 0.703 6.505 16.358 40.217 58.29 88.173 115.176 133.826 152.376 169.574 185.478 194.249 247.994 259.529 258.988 261.542 262.057 254.45 248.914 236.209 223.077 206.963 180.454 165.748 143.843 121.116 98.649 78.078 60.986 45.555 34.144 28.241 23.253 19.318 16.276 14.165 12.743 11.784 11.035 10.357 9.708 9.066 8.442 7.873 7.359 6.949 6.609 6.352 6.101 5.836 5.557 5.277 5.022 4.748 4.487 4.254 4.032 3.804 3.595 3.356 3.088 2.837 2.604 2.346 2.037 1.644 1.426 1.366 1.00 0.125 0.125 0.126 0.237 0.624 5.095 12.891 35.031 51.53 81.243 106.093 124.155 143.197 158.342 170.933 177.412 229.773 238.327 236.663 238.552 237.18 230.20 224.853 213.517 202.63 187.138 162.103 148.507 128.366 106.489 85.593 66.404 50.733 36.849 27.03 22.371 18.51 15.548 13.256 11.672 10.62 9.929 9.40 8.93 8.482 8.039 7.60 7.196 6.817 6.515 6.258 6.063 5.863 5.632 5.385 5.134 4.907 4.659 4.422 4.211 4.005 3.792 3.595 3.368 3.108 2.864 2.634 2.371 2.057 1.668 1.456 1.391 1.00 0.125 0.125 0.126 0.214 0.545 3.684 9.424 29.846 44.769 74.314 97.01 114.484 134.018 147.109 156.389 160.574 211.552 217.124 214.339 215.561 212.303 205.95 200.792 190.824 182.183 167.314 143.752 131.267 112.889 91.862 72.537 54.731 40.481 28.143 19.917 16.50 13.767 11.778 10.236 9.178 8.498 8.075 7.764 7.503 7.256 7.013 6.758 6.518 6.276 6.08 5.907 5.774 5.625 5.428 5.212 4.991 4.792 4.57 4.357 4.168 3.979 3.78 3.596 3.379 3.129 2.891 2.664 2.396 2.077 1.691 1.486 1.416 1.00 0.125 0.125 0.125 0.19 0.466 2.274 5.958 24.66 38.009 67.384 87.927 104.813 124.839 135.877 141.844 143.737 193.331 195.922 192.014 192.571 187.427 181.70 176.731 168.132 161.737 147.489 125.401 114.026 97.411 77.235 59.481 43.057 30.228 19.437 12.803 10.63 9.025 8.008 7.215 6.685 6.375 6.22 6.129 6.076 6.03 5.986 5.916 5.841 5.734 5.645 5.557 5.485 5.387 5.224 5.04 4.848 4.677 4.481 4.292 4.125 3.952 3.768 3.596 3.391 3.149 2.917 2.694 2.421 2.097 1.714 1.517 1.442 1.00 0.125 0.125 0.125 0.166 0.387 0.864 2.491 19.475 31.248 60.455 78.844 95.143 115.66 124.645 127.30 126.90 175.11 174.72 169.69 169.58 162.55 157.45 152.67 145.44 141.29 127.665 107.05 96.786 81.934 62.609 46.425 31.384 19.975 10.731 5.69 4.759 4.282 4.239 4.195 4.192 4.253 4.366 4.493 4.649 4.804 4.959 5.074 5.164 5.193 5.211 5.206 5.196 5.149 5.021 4.868 4.706 4.562 4.392 4.227 4.082 3.926 3.756 3.596 3.403 3.17 2.944 2.724 2.446 2.117 1.737 1.547 1.467 1.00 0.125 0.124 0.123 0.158 0.354 0.778 2.231 17.343 27.821 53.796 70.16 84.663 102.913 110.91 113.277 112.926 155.785 155.443 150.975 150.878 144.63 140.098 135.849 129.424 125.735 113.624 95.30 86.176 72.975 55.797 41.415 28.052 17.92 9.714 5.247 4.435 4.029 4.012 3.997 4.017 4.094 4.215 4.349 4.506 4.659 4.811 4.924 5.011 5.04 5.055 5.049 5.037 4.988 4.864 4.721 4.568 4.431 4.268 4.108 3.97 3.822 3.662 3.511 3.325 3.101 2.88 2.661 2.389 2.074 1.716 1.528 1.446 1.00 0.125 0.123 0.121 0.15 0.321 0.692 1.971 15.212 24.394 47.138 61.476 74.183 90.165 97.174 99.254 98.953 136.461 136.166 132.26 132.177 126.71 122.746 119.029 113.408 110.181 99.584 83.55 75.566 64.016 48.986 36.406 24.721 15.865 8.698 4.804 4.11 3.775 3.785 3.798 3.843 3.934 4.064 4.204 4.363 4.514 4.663 4.773 4.857 4.887 4.899 4.892 4.877 4.827 4.708 4.573 4.431 4.301 4.144 3.989 3.858 3.718 3.568 3.425 3.248 3.032 2.816 2.597 2.333 2.031 1.696 1.509 1.426 1.00 0.125 0.122 0.119 0.143 0.287 0.606 1.711 13.08 20.967 40.479 52.792 63.703 77.418 83.439 85.231 84.979 117.136 116.889 113.545 113.475 108.789 105.393 102.208 97.392 94.626 85.543 71.80 64.957 55.056 42.174 31.396 21.389 13.81 7.681 4.362 3.786 3.522 3.559 3.60 3.668 3.775 3.913 4.06 4.22 4.369 4.515 4.623 4.704 4.734 4.744 4.735 4.718 4.666 4.551 4.426 4.293 4.17 4.02 3.871 3.747 3.614 3.474 3.34 3.17 2.963 2.753 2.534 2.277 1.989 1.675 1.49 1.405 1.00 0.125 0.121 0.117 0.135 0.254 0.52 1.451 10.949 17.54 33.82 44.108 53.224 64.671 69.704 71.208 71.006 97.811 97.612 94.83 94.774 90.869 88.041 85.388 81.376 79.071 71.502 60.05 54.347 46.097 35.363 26.387 18.058 11.755 6.664 3.919 3.461 3.268 3.332 3.402 3.494 3.616 3.762 3.916 4.077 4.224 4.367 4.472 4.55 4.581 4.588 4.578 4.558 4.505 4.395 4.278 4.156 4.04 3.896 3.752 3.635 3.51 3.38 3.255 3.093 2.894 2.689 2.47 2.221 1.946 1.654 1.471 1.384 1.00 0.125 0.119 0.116 0.127 0.221 0.434 1.19 8.817 14.112 27.162 35.423 42.744 51.923 55.969 57.185 57.032 78.487 78.334 76.115 76.072 72.949 70.689 68.567 65.361 63.517 57.461 48.299 43.738 37.138 28.551 21.377 14.726 9.70 5.647 3.476 3.137 3.015 3.106 3.203 3.319 3.456 3.612 3.771 3.933 4.079 4.218 4.322 4.397 4.428 4.433 4.422 4.399 4.344 4.238 4.131 4.018 3.909 3.773 3.633 3.523 3.407 3.286 3.169 3.015 2.825 2.625 2.407 2.165 1.903 1.633 1.453 1.364 1.00 0.125 0.118 0.114 0.119 0.188 0.348 0.93 6.686 10.685 20.503 26.739 32.264 39.176 42.233 43.162 43.059 59.162 59.057 57.40 57.371 55.029 53.337 51.747 49.345 47.962 43.421 36.549 33.128 28.179 21.74 16.368 11.394 7.645 4.631 3.033 2.812 2.761 2.879 3.005 3.144 3.297 3.461 3.627 3.79 3.934 4.07 4.171 4.243 4.275 4.277 4.265 4.239 4.183 4.082 3.983 3.881 3.779 3.649 3.514 3.412 3.303 3.192 3.084 2.938 2.756 2.561 2.343 2.109 1.86 1.613 1.434 1.343 1.00 0.125 0.117 0.112 0.112 0.154 0.262 0.67 4.554 7.258 13.844 18.055 21.784 26.429 28.498 29.139 29.086 39.837 39.78 38.685 38.669 37.108 35.984 34.926 33.329 32.407 29.38 24.799 22.519 19.219 14.928 11.358 8.063 5.59 3.614 2.591 2.488 2.508 2.653 2.807 2.97 3.138 3.31 3.483 3.647 3.789 3.922 4.021 4.09 4.122 4.122 4.108 4.08 4.022 3.925 3.836 3.743 3.648 3.525 3.396 3.30 3.199 3.098 2.999 2.86 2.687 2.498 2.28 2.053 1.818 1.592 1.415 1.322 1.00 0.125 0.116 0.11 0.104 0.121 0.176 0.41 2.423 3.831 7.186 9.371 11.305 13.681 14.763 15.116 15.112 20.513 20.503 19.97 19.968 19.188 18.632 18.106 17.313 16.853 15.339 13.049 11.91 10.26 8.117 6.349 4.731 3.535 2.597 2.148 2.163 2.254 2.426 2.608 2.795 2.978 3.159 3.338 3.504 3.644 3.774 3.87 3.936 3.969 3.966 3.951 3.92 3.861 3.769 3.688 3.606 3.518 3.401 3.277 3.188 3.095 3.004 2.913 2.783 2.618 2.434 2.216 1.997 1.775 1.571 1.396 1.302 1.00 0.125 0.115 0.108 0.096 0.088 0.09 0.15 0.291 0.404 0.527 0.687 0.825 0.934 1.028 1.093 1.139 1.188 1.226 1.255 1.266 1.268 1.28 1.285 1.297 1.298 1.299 1.299 1.30 1.301 1.306 1.339 1.40 1.48 1.581 1.705 1.839 2.001 2.20 2.41 2.621 2.819 3.009 3.194 3.361 3.499 3.626 3.72 3.783 3.816 3.811 3.794 3.761 3.70 3.613 3.541 3.469 3.387 3.277 3.158 3.077 2.991 2.91 2.828 2.706 2.549 2.37 2.153 1.941 1.732 1.551 1.377 1.281 1.00 0.125 0.115 0.107 0.095 0.088 0.09 0.143 0.268 0.369 0.479 0.621 0.744 0.841 0.926 0.984 1.026 1.071 1.106 1.133 1.145 1.149 1.162 1.17 1.184 1.19 1.196 1.204 1.214 1.226 1.243 1.288 1.36 1.452 1.563 1.696 1.84 2.012 2.217 2.434 2.651 2.857 3.054 3.245 3.419 3.562 3.693 3.791 3.855 3.888 3.884 3.867 3.831 3.769 3.68 3.603 3.524 3.436 3.324 3.203 3.119 3.03 2.944 2.859 2.735 2.578 2.397 2.183 1.973 1.764 1.576 1.399 1.293 1.00 0.125 0.115 0.107 0.094 0.088 0.09 0.136 0.246 0.334 0.431 0.555 0.663 0.748 0.824 0.876 0.913 0.954 0.986 1.011 1.024 1.03 1.044 1.054 1.071 1.083 1.094 1.109 1.128 1.151 1.181 1.237 1.32 1.423 1.545 1.686 1.842 2.023 2.235 2.458 2.682 2.896 3.10 3.297 3.476 3.626 3.76 3.861 3.928 3.959 3.957 3.94 3.901 3.838 3.747 3.665 3.58 3.486 3.371 3.248 3.161 3.069 2.979 2.89 2.764 2.606 2.425 2.214 2.006 1.795 1.601 1.42 1.305 1.00 0.125 0.115 0.106 0.093 0.088 0.089 0.129 0.223 0.299 0.382 0.489 0.582 0.655 0.722 0.767 0.80 0.837 0.866 0.889 0.903 0.91 0.926 0.939 0.958 0.975 0.991 1.015 1.042 1.076 1.119 1.187 1.28 1.395 1.527 1.677 1.843 2.033 2.253 2.482 2.713 2.934 3.146 3.348 3.534 3.689 3.828 3.932 4.001 4.031 4.03 4.012 3.971 3.906 3.814 3.728 3.635 3.535 3.418 3.293 3.204 3.107 3.014 2.921 2.793 2.635 2.452 2.244 2.038 1.827 1.627 1.442 1.318 1.00 0.125 0.115 0.105 0.092 0.088 0.089 0.122 0.201 0.264 0.334 0.423 0.501 0.562 0.62 0.659 0.687 0.72 0.746 0.767 0.782 0.791 0.808 0.823 0.845 0.868 0.889 0.92 0.956 1.001 1.057 1.136 1.241 1.367 1.509 1.667 1.845 2.044 2.271 2.506 2.744 2.973 3.191 3.399 3.591 3.752 3.895 4.003 4.074 4.102 4.104 4.085 4.042 3.975 3.881 3.79 3.691 3.584 3.465 3.338 3.246 3.146 3.048 2.952 2.822 2.663 2.479 2.274 2.071 1.859 1.652 1.464 1.33 1.00 0.125 0.116 0.105 0.092 0.088 0.089 0.116 0.178 0.228 0.286 0.357 0.421 0.469 0.518 0.55 0.574 0.603 0.626 0.646 0.661 0.672 0.69 0.708 0.733 0.76 0.786 0.825 0.871 0.927 0.994 1.085 1.201 1.338 1.491 1.658 1.846 2.055 2.289 2.531 2.775 3.011 3.237 3.451 3.649 3.816 3.962 4.073 4.147 4.174 4.177 4.158 4.112 4.044 3.948 3.852 3.746 3.634 3.511 3.382 3.288 3.185 3.083 2.984 2.852 2.692 2.507 2.305 2.103 1.89 1.677 1.485 1.342 1.00 0.125 0.116 0.104 0.091 0.088 0.089 0.109 0.156 0.193 0.238 0.291 0.34 0.376 0.417 0.442 0.462 0.486 0.506 0.524 0.54 0.553 0.572 0.592 0.62 0.653 0.684 0.73 0.785 0.852 0.932 1.034 1.161 1.31 1.474 1.648 1.847 2.066 2.307 2.555 2.806 3.05 3.283 3.502 3.706 3.879 4.029 4.144 4.22 4.245 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2.903 3.002 3.082 3.122 3.134 3.143 3.129 3.089 3.032 2.967 2.889 2.809 2.719 2.631 2.54 2.459 2.368 2.273 2.171 2.056 1.928 1.789 1.643 1.475 1.294 1.117 0.973 1.00 0.125 0.113 0.101 0.095 0.079 0.078 0.076 0.075 0.073 0.073 0.073 0.075 0.074 0.078 0.081 0.084 0.091 0.099 0.109 0.115 0.126 0.143 0.154 0.178 0.204 0.237 0.28 0.33 0.395 0.469 0.558 0.666 0.784 0.918 1.054 1.215 1.386 1.568 1.755 1.942 2.129 2.312 2.484 2.632 2.771 2.889 2.987 3.066 3.106 3.12 3.129 3.114 3.073 3.016 2.95 2.873 2.793 2.704 2.618 2.529 2.449 2.359 2.266 2.164 2.049 1.921 1.784 1.639 1.472 1.293 1.117 0.975 1.00 0.125 0.113 0.101 0.095 0.079 0.076 0.074 0.072 0.069 0.07 0.07 0.071 0.07 0.074 0.076 0.079 0.084 0.093 0.103 0.11 0.121 0.137 0.148 0.173 0.199 0.232 0.275 0.325 0.39 0.465 0.552 0.661 0.779 0.913 1.048 1.209 1.38 1.561 1.748 1.935 2.12 2.303 2.473 2.621 2.758 2.875 2.972 3.05 3.091 3.106 3.114 3.099 3.058 3.001 2.934 2.857 2.777 2.689 2.606 2.518 2.439 2.351 2.258 2.157 2.042 1.915 1.779 1.634 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2.42 2.565 2.692 2.805 2.896 2.968 3.015 3.036 3.04 3.025 2.982 2.923 2.851 2.777 2.699 2.616 2.543 2.464 2.387 2.309 2.219 2.12 2.006 1.882 1.752 1.613 1.453 1.284 1.118 0.987 1.00 0.125 0.114 0.098 0.094 0.078 0.073 0.071 0.075 0.085 0.096 0.11 0.125 0.14 0.154 0.164 0.17 0.178 0.194 0.209 0.216 0.229 0.243 0.254 0.282 0.305 0.335 0.376 0.423 0.482 0.559 0.638 0.743 0.859 0.991 1.125 1.288 1.459 1.644 1.838 2.033 2.22 2.41 2.584 2.74 2.875 2.994 3.092 3.169 3.22 3.239 3.244 3.229 3.185 3.123 3.05 2.973 2.892 2.804 2.725 2.642 2.562 2.483 2.393 2.297 2.183 2.049 1.903 1.734 1.547 1.365 1.191 1.051 1.00 0.125 0.114 0.097 0.094 0.08 0.077 0.079 0.093 0.117 0.14 0.168 0.197 0.229 0.255 0.275 0.288 0.303 0.325 0.343 0.35 0.363 0.377 0.388 0.414 0.436 0.464 0.502 0.545 0.601 0.675 0.751 0.851 0.964 1.094 1.231 1.395 1.568 1.762 1.964 2.169 2.364 2.565 2.748 2.914 3.058 3.184 3.289 3.37 3.425 3.443 3.448 3.433 3.388 3.324 3.248 3.17 3.085 2.992 2.907 2.821 2.738 2.658 2.567 2.475 2.359 2.216 2.055 1.856 1.641 1.446 1.263 1.116 1.00 0.125 0.113 0.097 0.094 0.082 0.081 0.086 0.11 0.15 0.183 0.225 0.27 0.317 0.357 0.387 0.405 0.429 0.456 0.476 0.484 0.497 0.511 0.523 0.546 0.567 0.593 0.627 0.667 0.72 0.791 0.864 0.96 1.069 1.197 1.337 1.502 1.678 1.879 2.09 2.304 2.509 2.72 2.913 3.089 3.241 3.374 3.485 3.572 3.63 3.647 3.653 3.637 3.591 3.524 3.447 3.367 3.278 3.181 3.089 3.00 2.913 2.832 2.741 2.652 2.536 2.383 2.206 1.978 1.735 1.527 1.336 1.181 1.00 0.125 0.113 0.097 0.094 0.084 0.085 0.094 0.127 0.183 0.227 0.283 0.342 0.405 0.459 0.499 0.523 0.554 0.587 0.61 0.618 0.631 0.645 0.657 0.678 0.698 0.722 0.753 0.789 0.839 0.907 0.977 1.068 1.174 1.30 1.443 1.609 1.787 1.996 2.216 2.44 2.654 2.875 3.077 3.263 3.424 3.564 3.682 3.773 3.835 3.85 3.857 3.841 3.794 3.725 3.645 3.563 3.471 3.369 3.271 3.179 3.089 3.007 2.915 2.829 2.712 2.55 2.357 2.099 1.829 1.608 1.409 1.246 1.00 0.125 0.112 0.096 0.094 0.087 0.089 0.101 0.144 0.215 0.271 0.341 0.415 0.494 0.56 0.61 0.641 0.68 0.718 0.743 0.751 0.766 0.779 0.792 0.81 0.828 0.851 0.879 0.911 0.957 1.023 1.091 1.177 1.278 1.404 1.55 1.716 1.897 2.114 2.342 2.575 2.798 3.03 3.241 3.438 3.606 3.754 3.878 3.974 4.039 4.054 4.061 4.045 3.996 3.926 3.844 3.76 3.665 3.557 3.454 3.358 3.264 3.181 3.09 3.007 2.889 2.717 2.509 2.221 1.922 1.688 1.481 1.31 1.00 0.125 0.112 0.096 0.095 0.089 0.093 0.109 0.162 0.248 0.315 0.399 0.487 0.582 0.662 0.722 0.759 0.805 0.849 0.877 0.885 0.90 0.913 0.926 0.942 0.959 0.98 1.005 1.034 1.076 1.14 1.204 1.285 1.383 1.507 1.656 1.823 2.006 2.231 2.468 2.711 2.943 3.185 3.405 3.612 3.789 3.944 4.075 4.175 4.244 4.258 4.265 4.249 4.199 4.126 4.042 3.957 3.858 3.745 3.636 3.537 3.44 3.355 3.264 3.184 3.065 2.884 2.66 2.343 2.016 1.769 1.554 1.375 1.00 0.125 0.111 0.096 0.095 0.091 0.097 0.116 0.179 0.281 0.358 0.456 0.56 0.67 0.764 0.834 0.876 0.931 0.98 1.01 1.019 1.034 1.047 1.061 1.074 1.09 1.109 1.13 1.156 1.195 1.256 1.317 1.394 1.488 1.61 1.762 1.93 2.116 2.348 2.594 2.846 3.088 3.34 3.57 3.787 3.972 4.134 4.271 4.377 4.449 4.461 4.47 4.453 4.402 4.327 4.241 4.154 4.051 3.933 3.818 3.716 3.615 3.53 3.438 3.361 3.242 3.051 2.811 2.465 2.11 1.85 1.627 1.44 1.00 0.125 0.111 0.095 0.095 0.093 0.101 0.124 0.196 0.313 0.402 0.514 0.632 0.759 0.865 0.945 0.994 1.056 1.111 1.144 1.153 1.168 1.181 1.195 1.206 1.221 1.238 1.256 1.278 1.314 1.372 1.43 1.502 1.593 1.713 1.868 2.037 2.225 2.466 2.72 2.982 3.232 3.495 3.734 3.961 4.155 4.324 4.468 4.578 4.654 4.665 4.674 4.657 4.605 4.527 4.439 4.35 4.244 4.121 4.00 3.895 3.791 3.704 3.612 3.539 3.418 3.218 2.963 2.586 2.204 1.931 1.699 1.505 1.00 0.125 0.11 0.095 0.095 0.095 0.105 0.131 0.214 0.346 0.446 0.572 0.705 0.847 0.967 1.057 1.112 1.182 1.242 1.277 1.287 1.302 1.315 1.33 1.338 1.352 1.368 1.382 1.40 1.433 1.488 1.543 1.611 1.698 1.817 1.974 2.145 2.335 2.583 2.846 3.117 3.377 3.65 3.898 4.136 4.338 4.514 4.664 4.779 4.859 4.869 4.878 4.861 4.808 4.728 4.638 4.547 4.437 4.31 4.182 4.074 3.966 3.879 3.786 3.716 3.595 3.385 3.114 2.708 2.298 2.012 1.772 1.57 1.00 0.125 0.111 0.097 0.098 0.099 0.128 0.186 0.781 2.40 3.761 5.405 7.376 9.423 10.716 12.665 16.645 16.317 15.793 15.854 14.975 14.94 15.121 14.82 14.202 13.435 12.531 11.341 9.613 8.379 6.99 5.249 4.057 3.137 2.271 2.197 2.262 2.408 2.625 2.86 3.109 3.348 3.602 3.836 4.063 4.258 4.427 4.572 4.682 4.758 4.77 4.781 4.766 4.719 4.643 4.552 4.457 4.343 4.213 4.082 3.972 3.863 3.771 3.676 3.602 3.484 3.286 3.035 2.656 2.263 1.96 1.718 1.527 1.00 0.125 0.113 0.099 0.101 0.103 0.15 0.241 1.348 4.454 7.077 10.237 14.047 17.999 20.465 24.273 32.177 31.453 30.344 30.431 28.662 28.577 28.927 28.31 27.067 25.518 23.694 21.299 17.826 15.325 12.491 8.955 6.504 4.576 2.725 2.42 2.38 2.48 2.668 2.875 3.10 3.32 3.554 3.774 3.99 4.178 4.341 4.479 4.584 4.658 4.672 4.684 4.671 4.63 4.558 4.467 4.367 4.248 4.116 3.982 3.87 3.76 3.663 3.566 3.489 3.373 3.186 2.956 2.603 2.228 1.908 1.665 1.484 1.00 0.125 0.114 0.101 0.104 0.107 0.173 0.295 1.916 6.508 10.392 15.07 20.719 26.575 30.213 35.881 47.71 46.588 44.895 45.008 42.35 42.215 42.733 41.80 39.932 37.601 34.858 31.258 26.039 22.271 17.993 12.661 8.951 6.015 3.18 2.643 2.498 2.553 2.71 2.889 3.092 3.291 3.507 3.712 3.917 4.099 4.254 4.387 4.487 4.557 4.573 4.587 4.577 4.54 4.473 4.381 4.277 4.154 4.019 3.883 3.768 3.657 3.556 3.456 3.375 3.261 3.087 2.876 2.551 2.193 1.856 1.611 1.441 1.00 0.125 0.115 0.103 0.107 0.111 0.195 0.35 2.483 8.562 13.707 19.903 27.39 35.151 39.962 47.489 63.242 61.723 59.446 59.585 56.037 55.852 56.539 55.29 52.796 49.684 46.021 41.217 34.252 29.217 23.494 16.367 11.397 7.454 3.634 2.866 2.616 2.625 2.753 2.904 3.083 3.263 3.459 3.65 3.844 4.019 4.168 4.295 4.389 4.457 4.475 4.49 4.482 4.451 4.388 4.296 4.187 4.059 3.922 3.783 3.666 3.554 3.448 3.346 3.262 3.15 2.988 2.797 2.498 2.158 1.804 1.558 1.398 1.00 0.125 0.116 0.106 0.111 0.116 0.218 0.405 3.05 10.617 17.022 24.735 34.061 43.728 49.711 59.098 78.775 76.859 73.996 74.162 69.725 69.49 70.345 68.78 65.661 61.768 57.185 51.175 42.465 36.163 28.996 20.074 13.844 8.894 4.089 3.09 2.734 2.698 2.795 2.918 3.075 3.234 3.411 3.588 3.771 3.939 4.082 4.202 4.292 4.356 4.377 4.392 4.387 4.362 4.303 4.21 4.097 3.965 3.825 3.683 3.563 3.45 3.341 3.235 3.148 3.039 2.889 2.718 2.446 2.124 1.753 1.504 1.355 1.00 0.125 0.118 0.108 0.114 0.12 0.241 0.46 3.618 12.671 20.338 29.568 40.733 52.304 59.46 70.706 94.307 91.994 88.547 88.739 83.412 83.127 84.152 82.27 78.526 73.851 68.348 61.134 50.678 43.109 34.498 23.78 16.291 10.333 4.543 3.313 2.852 2.77 2.838 2.933 3.066 3.206 3.364 3.526 3.699 3.859 3.995 4.11 4.194 4.256 4.278 4.295 4.293 4.273 4.218 4.125 4.007 3.87 3.728 3.583 3.461 3.347 3.233 3.125 3.035 2.928 2.789 2.639 2.393 2.089 1.701 1.451 1.312 1.00 0.125 0.119 0.11 0.117 0.124 0.263 0.514 4.185 14.725 23.653 34.401 47.404 60.88 69.208 82.314 109.84 107.129 103.098 103.316 97.10 96.765 97.958 95.76 91.391 85.934 79.512 71.093 58.891 50.055 39.999 27.486 18.738 11.772 4.998 3.536 2.97 2.843 2.88 2.947 3.058 3.177 3.316 3.464 3.626 3.78 3.909 4.018 4.097 4.155 4.18 4.198 4.198 4.183 4.133 4.039 3.917 3.776 3.631 3.484 3.359 3.244 3.126 3.015 2.921 2.816 2.69 2.559 2.341 2.054 1.649 1.397 1.269 1.00 0.125 0.12 0.112 0.12 0.128 0.286 0.569 4.752 16.779 26.968 39.233 54.076 69.456 78.957 93.922 125.372 122.265 117.649 117.893 110.787 110.402 111.764 109.25 104.255 98.017 90.675 81.051 67.104 57.001 45.501 31.192 21.184 13.211 5.452 3.759 3.088 2.915 2.923 2.962 3.049 3.149 3.268 3.402 3.553 3.70 3.822 3.925 3.999 4.055 4.081 4.101 4.104 4.094 4.048 3.954 3.827 3.681 3.534 3.384 3.257 3.141 3.018 2.905 2.808 2.705 2.591 2.48 2.288 2.019 1.597 1.344 1.226 1.00 0.125 0.122 0.114 0.123 0.132 0.309 0.624 5.32 18.833 30.284 44.066 60.747 78.032 88.706 105.53 140.905 137.40 132.20 132.47 124.475 124.04 125.57 122.74 117.12 110.10 101.839 91.01 75.317 63.947 51.003 34.898 23.631 14.65 5.907 3.982 3.206 2.988 2.965 2.976 3.041 3.12 3.221 3.34 3.48 3.62 3.736 3.833 3.902 3.954 3.983 4.004 4.009 4.005 3.963 3.868 3.737 3.587 3.438 3.284 3.155 3.038 2.911 2.795 2.694 2.594 2.492 2.401 2.236 1.984 1.545 1.29 1.184 1.00 0.125 0.122 0.116 0.13 0.172 0.399 2.191 8.264 23.689 36.739 53.761 72.963 92.145 104.564 121.009 153.332 151.294 150.752 155.432 149.204 148.93 150.965 147.864 141.331 132.637 123.045 111.466 93.746 81.477 66.986 49.36 36.036 25.258 15.505 11.927 9.736 8.334 7.295 6.478 5.924 5.556 5.336 5.202 5.115 5.048 4.973 4.891 4.795 4.701 4.607 4.519 4.433 4.35 4.244 4.101 3.93 3.744 3.561 3.374 3.208 3.055 2.898 2.754 2.639 2.534 2.434 2.345 2.198 1.979 1.555 1.29 1.191 1.00 0.125 0.123 0.118 0.138 0.212 0.49 3.758 11.208 28.544 43.194 63.456 85.179 106.258 120.421 136.488 165.758 165.189 169.304 178.394 173.933 173.82 176.36 172.989 165.542 155.173 144.252 131.921 112.175 99.008 82.97 63.823 48.441 35.866 25.103 19.873 16.267 13.681 11.626 9.98 8.807 7.993 7.451 7.063 6.749 6.476 6.21 5.948 5.689 5.447 5.231 5.034 4.858 4.695 4.525 4.333 4.123 3.901 3.684 3.463 3.26 3.072 2.886 2.713 2.584 2.474 2.376 2.29 2.16 1.974 1.565 1.289 1.198 1.00 0.125 0.124 0.119 0.145 0.251 0.581 5.324 14.152 33.40 49.649 73.151 97.395 120.371 136.279 151.967 178.185 179.083 187.857 201.357 198.662 198.71 201.755 198.113 189.753 177.71 165.459 152.377 130.604 116.538 98.953 78.285 60.846 46.473 34.701 27.818 22.798 19.027 15.956 13.481 11.691 10.429 9.567 8.925 8.384 7.905 7.447 7.006 6.582 6.194 5.856 5.549 5.282 5.039 4.806 4.566 4.316 4.057 3.807 3.553 3.313 3.09 2.874 2.672 2.529 2.414 2.319 2.234 2.122 1.969 1.576 1.289 1.205 1.00 0.125 0.125 0.121 0.152 0.291 0.671 6.891 17.096 38.255 56.104 82.846 109.61 134.484 152.137 167.445 190.612 192.978 206.409 224.319 223.39 223.60 227.15 223.238 213.964 200.247 186.666 172.832 149.034 134.068 114.937 92.748 73.25 57.081 44.299 35.763 29.329 24.374 20.287 16.983 14.574 12.865 11.682 10.786 10.018 9.333 8.684 8.064 7.476 6.94 6.48 6.064 5.707 5.384 5.087 4.798 4.508 4.214 3.93 3.643 3.366 3.107 2.862 2.631 2.474 2.354 2.261 2.178 2.084 1.964 1.586 1.288 1.212 1.00 0.125 0.126 0.123 0.16 0.331 0.762 8.458 20.041 43.111 62.559 92.54 121.826 148.598 167.994 182.924 203.038 206.872 224.961 247.281 248.119 248.49 252.545 248.362 238.176 222.783 207.873 193.288 167.463 151.599 130.921 107.21 85.655 67.689 53.897 43.709 35.859 29.72 24.617 20.485 17.458 15.302 13.797 12.648 11.653 10.761 9.92 9.121 8.369 7.687 7.104 6.58 6.131 5.729 5.368 5.031 4.701 4.371 4.053 3.732 3.419 3.124 2.849 2.59 2.419 2.295 2.203 2.123 2.046 1.958 1.596 1.288 1.219 1.00 0.125 0.127 0.125 0.167 0.371 0.853 10.025 22.985 47.966 69.014 102.235 134.042 162.711 183.852 198.403 215.465 220.767 243.513 270.243 272.848 273.38 277.94 273.487 262.387 245.32 229.079 213.743 185.892 169.129 146.904 121.673 98.06 78.297 63.495 51.654 42.39 35.067 28.947 23.987 20.341 17.738 15.912 14.509 13.287 12.189 11.157 10.179 9.263 8.433 7.728 7.095 6.556 6.074 5.649 5.263 4.894 4.528 4.176 3.822 3.471 3.141 2.837 2.549 2.364 2.235 2.146 2.067 2.008 1.953 1.606 1.287 1.227 1.00 0.125 0.128 0.126 0.174 0.41 0.944 11.591 25.929 52.822 75.47 111.93 146.258 176.824 199.71 213.882 227.892 234.661 262.066 293.206 297.577 298.27 303.335 298.611 286.598 267.857 250.286 234.199 204.321 186.659 162.888 136.135 110.465 88.904 73.093 59.599 48.921 40.413 33.278 27.488 23.225 20.174 18.028 16.371 14.922 13.618 12.394 11.237 10.156 9.18 8.353 7.61 6.98 6.418 5.93 5.496 5.087 4.684 4.299 3.912 3.524 3.159 2.825 2.508 2.309 2.175 2.088 2.011 1.97 1.948 1.616 1.287 1.234 1.00 0.125 0.129 0.128 0.182 0.45 1.034 13.158 28.873 57.677 81.925 121.625 158.474 190.937 215.567 229.361 240.318 248.555 280.618 316.168 322.306 323.16 328.73 323.735 310.809 290.393 271.493 254.654 222.751 204.19 178.871 150.597 122.87 99.512 82.691 67.545 55.452 45.76 37.608 30.99 26.108 22.611 20.143 18.232 16.556 15.046 13.631 12.294 11.05 9.926 8.977 8.125 7.405 6.763 6.211 5.728 5.28 4.841 4.422 4.001 3.577 3.176 2.813 2.467 2.254 2.115 2.031 1.956 1.932 1.943 1.626 1.286 1.241 1.00 0.125 0.13 0.13 0.189 0.49 1.125 14.725 31.818 62.533 88.38 131.32 170.69 205.05 231.425 244.84 252.745 262.45 299.17 339.13 347.035 348.05 354.125 348.86 335.02 312.93 292.70 275.11 241.18 221.72 194.855 165.06 135.275 110.12 92.29 75.49 61.983 51.106 41.939 34.492 28.992 25.047 22.259 20.094 18.191 16.474 14.868 13.352 11.944 10.673 9.601 8.64 7.829 7.108 6.492 5.961 5.473 4.998 4.545 4.091 3.63 3.193 2.801 2.426 2.199 2.055 1.973 1.90 1.894 1.938 1.637 1.286 1.248 1.00 0.125 0.129 0.145 0.216 0.568 2.238 18.331 37.339 71.232 101.752 147.61 187.172 220.721 244.945 260.283 274.923 287.943 325.487 368.691 377.704 381.115 388.235 381.684 365.968 342.855 321.302 301.82 266.425 244.58 215.839 184.251 152.379 126.217 106.797 88.365 72.987 60.112 49.153 40.263 33.569 28.794 25.499 22.909 20.595 18.505 16.532 14.667 12.967 11.461 10.216 9.128 8.219 7.415 6.726 6.117 5.552 5.024 4.566 4.135 3.698 3.267 2.841 2.45 2.211 2.06 1.972 1.898 1.897 1.959 1.649 1.292 1.257 1.00 0.125 0.129 0.16 0.244 0.645 3.35 21.937 42.861 79.93 115.124 163.90 203.654 236.392 258.466 275.727 297.101 313.437 351.803 398.252 408.373 414.181 422.346 414.509 396.917 372.781 349.903 328.53 291.67 267.44 236.823 203.442 169.484 142.313 121.304 101.241 83.991 69.118 56.368 46.033 38.147 32.541 28.739 25.724 22.999 20.536 18.196 15.982 13.99 12.249 10.832 9.615 8.609 7.722 6.961 6.272 5.631 5.05 4.588 4.179 3.766 3.342 2.882 2.475 2.222 2.066 1.97 1.896 1.90 1.979 1.662 1.298 1.267 1.00 0.125 0.128 0.174 0.271 0.723 4.463 25.543 48.383 88.629 128.497 180.19 220.137 252.063 271.987 291.17 319.278 338.93 378.12 427.814 439.042 447.247 456.457 447.334 427.865 402.707 378.505 355.24 316.915 290.30 257.807 222.633 186.588 158.41 135.811 114.117 94.995 78.124 63.582 51.804 42.724 36.288 31.979 28.54 25.403 22.567 19.859 17.297 15.014 13.038 11.447 10.103 8.999 8.029 7.196 6.428 5.711 5.076 4.61 4.223 3.835 3.416 2.923 2.499 2.234 2.071 1.969 1.894 1.903 2.00 1.675 1.303 1.276 1.00 0.125 0.128 0.189 0.298 0.80 5.576 29.149 53.905 97.327 141.869 196.48 236.619 267.734 285.507 306.613 341.456 364.423 404.437 457.374 469.711 480.312 490.567 480.158 458.813 432.632 407.107 381.95 342.16 313.16 278.791 241.824 203.693 174.507 150.319 126.992 105.999 87.13 70.797 57.575 47.302 40.035 35.219 31.355 27.807 24.598 21.523 18.612 16.037 13.826 12.063 10.591 9.388 8.336 7.431 6.584 5.79 5.102 4.632 4.267 3.903 3.491 2.964 2.524 2.245 2.077 1.968 1.892 1.906 2.02 1.688 1.309 1.285 1.00 0.125 0.127 0.204 0.325 0.878 6.689 32.756 59.427 106.026 155.241 212.77 253.101 283.406 299.028 322.057 363.634 389.917 430.754 486.936 500.38 513.378 524.678 512.982 489.762 462.558 435.709 408.66 367.405 336.02 299.775 261.016 220.797 190.603 164.826 139.868 117.003 96.136 78.012 63.345 51.879 43.782 38.459 34.17 30.211 26.629 23.187 19.928 17.061 14.614 12.678 11.078 9.778 8.644 7.665 6.739 5.869 5.128 4.654 4.312 3.972 3.565 3.005 2.548 2.257 2.082 1.967 1.891 1.909 2.041 1.701 1.315 1.295 1.00 0.125 0.127 0.219 0.353 0.955 7.801 36.362 64.949 114.724 168.613 229.06 269.583 299.077 312.548 337.50 385.812 415.41 457.07 516.497 531.048 546.443 558.788 545.807 520.71 492.483 464.31 435.37 392.65 358.88 320.758 280.207 237.902 206.70 179.333 152.743 128.008 105.142 85.226 69.116 56.457 47.529 41.70 36.985 32.615 28.66 24.851 21.243 18.084 15.402 13.293 11.566 10.168 8.951 7.90 6.895 5.949 5.154 4.676 4.356 4.04 3.64 3.046 2.573 2.268 2.088 1.965 1.889 1.912 2.061 1.714 1.321 1.304 1.00 0.125 0.126 0.233 0.38 1.033 8.914 39.968 70.47 123.423 181.986 245.35 286.066 314.748 326.069 352.943 407.99 440.903 483.387 546.058 561.717 579.509 592.899 578.631 551.658 522.409 492.912 462.08 417.895 381.74 341.742 299.398 255.006 222.797 193.841 165.619 139.012 114.148 92.441 74.887 61.034 51.276 44.94 39.801 35.019 30.691 26.514 22.558 19.108 16.191 13.909 12.054 10.558 9.258 8.135 7.051 6.028 5.18 4.698 4.40 4.109 3.714 3.086 2.597 2.28 2.093 1.964 1.887 1.915 2.082 1.727 1.326 1.313 1.00 0.125 0.126 0.248 0.407 1.11 10.027 43.574 75.992 132.121 195.358 261.64 302.548 330.419 339.589 368.387 430.167 466.397 509.703 575.619 592.386 612.574 627.009 611.456 582.607 552.334 521.513 488.79 443.14 404.60 362.726 318.589 272.111 238.893 208.348 178.494 150.016 123.154 99.655 80.657 65.612 55.023 48.18 42.616 37.423 32.722 28.178 23.873 20.131 16.979 14.524 12.541 10.948 9.565 8.37 7.206 6.107 5.206 4.72 4.444 4.177 3.789 3.127 2.622 2.291 2.099 1.963 1.885 1.918 2.102 1.74 1.332 1.323 1.00 0.125 0.125 0.263 0.435 1.188 11.14 47.18 81.514 140.82 208.73 277.93 319.03 346.09 353.11 383.83 452.345 491.89 536.02 605.18 623.055 645.64 661.12 644.28 613.555 582.26 550.115 515.50 468.385 427.46 383.71 337.78 289.215 254.99 222.855 191.37 161.02 132.16 106.87 86.428 70.189 58.77 51.42 45.431 39.827 34.753 29.842 25.188 21.155 17.767 15.14 13.029 11.338 9.872 8.605 7.362 6.187 5.232 4.742 4.488 4.246 3.863 3.168 2.646 2.303 2.104 1.962 1.883 1.921 2.123 1.753 1.338 1.332 1.00 0.125 0.126 0.25 0.432 1.208 11.707 48.29 84.792 144.167 211.163 281.032 324.005 353.019 364.039 396.048 466.159 504.831 546.742 616.024 634.664 656.992 671.614 654.021 622.506 590.999 557.064 520.178 472.866 431.056 386.323 339.667 290.285 254.679 221.399 189.511 159.456 130.887 105.895 85.695 69.755 58.529 51.242 45.34 39.813 34.794 29.938 25.33 21.318 17.933 15.29 13.158 11.453 9.977 8.706 7.47 6.313 5.37 4.859 4.573 4.30 3.895 3.205 2.679 2.332 2.123 1.973 1.889 1.918 2.093 1.72 1.299 1.30 1.00 0.125 0.127 0.238 0.429 1.228 12.274 49.40 88.071 147.513 213.597 284.134 328.98 359.948 374.968 408.266 479.973 517.772 557.463 626.869 646.273 668.345 682.108 663.762 631.457 599.738 564.014 524.856 477.347 434.651 388.936 341.553 291.355 254.368 219.944 187.652 157.892 129.613 104.919 84.962 69.32 58.288 51.064 45.249 39.799 34.835 30.034 25.471 21.482 18.099 15.441 13.287 11.568 10.082 8.807 7.578 6.44 5.509 4.975 4.657 4.354 3.927 3.242 2.713 2.361 2.142 1.984 1.896 1.915 2.063 1.688 1.26 1.269 1.00 0.125 0.128 0.225 0.426 1.249 12.841 50.51 91.349 150.86 216.03 287.237 333.955 366.877 385.897 420.483 493.787 530.713 568.185 637.713 657.882 679.697 692.602 673.503 640.408 608.477 570.963 529.533 481.828 438.247 391.548 343.44 292.425 254.057 218.488 185.793 156.328 128.34 103.944 84.229 68.886 58.048 50.886 45.158 39.785 34.875 30.13 25.613 21.645 18.265 15.592 13.416 11.684 10.187 8.909 7.686 6.567 5.647 5.092 4.742 4.409 3.959 3.28 2.746 2.39 2.161 1.996 1.902 1.912 2.032 1.655 1.222 1.237 1.00 0.125 0.129 0.213 0.423 1.269 13.408 51.62 94.628 154.207 218.463 290.339 338.93 373.806 396.826 432.701 507.601 543.654 578.907 648.558 669.491 691.049 703.096 683.244 649.359 617.216 577.913 534.211 486.309 441.842 394.161 345.327 293.495 253.746 217.033 183.934 154.764 127.067 102.968 83.496 68.451 57.807 50.707 45.067 39.771 34.916 30.226 25.754 21.809 18.431 15.742 13.545 11.799 10.292 9.01 7.794 6.694 5.786 5.208 4.826 4.463 3.991 3.317 2.78 2.419 2.18 2.007 1.909 1.91 2.002 1.623 1.183 1.205 1.00 0.125 0.13 0.20 0.42 1.289 13.975 52.73 97.906 157.553 220.897 293.441 343.905 380.734 407.754 444.919 521.414 556.596 589.628 659.402 681.099 702.401 713.589 692.986 658.311 625.954 584.862 538.889 490.791 445.438 396.774 347.213 294.565 253.434 215.577 182.076 153.201 125.793 101.993 82.764 68.017 57.566 50.529 44.977 39.757 34.957 30.322 25.896 21.972 18.598 15.893 13.673 11.914 10.396 9.111 7.901 6.821 5.924 5.325 4.911 4.518 4.023 3.354 2.813 2.448 2.20 2.018 1.915 1.907 1.972 1.591 1.144 1.174 1.00 0.125 0.131 0.188 0.417 1.309 14.542 53.84 101.185 160.90 223.33 296.543 348.88 387.663 418.683 457.137 535.228 569.537 600.35 670.247 692.708 713.753 724.083 702.727 667.262 634.693 591.812 543.567 495.272 449.033 399.387 349.10 295.635 253.123 214.122 180.217 151.637 124.52 101.017 82.031 67.583 57.325 50.351 44.886 39.743 34.998 30.418 26.037 22.136 18.764 16.044 13.802 12.03 10.501 9.213 8.009 6.948 6.063 5.441 4.995 4.572 4.055 3.391 2.847 2.477 2.219 2.03 1.922 1.904 1.942 1.558 1.105 1.142 1.00 0.125 0.132 0.175 0.414 1.33 15.109 54.95 104.463 164.247 225.763 299.646 353.855 394.592 429.612 469.354 549.042 582.478 611.072 681.091 704.317 725.106 734.577 712.468 676.213 643.432 598.761 548.244 499.753 452.629 401.999 350.987 296.705 252.812 212.666 178.358 150.073 123.247 100.042 81.298 67.148 57.085 50.173 44.795 39.729 35.038 30.514 26.179 22.299 18.93 16.194 13.931 12.145 10.606 9.314 8.117 7.075 6.201 5.558 5.08 4.627 4.087 3.428 2.88 2.506 2.238 2.041 1.928 1.901 1.911 1.526 1.067 1.11 1.00 0.125 0.133 0.163 0.411 1.35 15.676 56.06 107.742 167.593 228.197 302.748 358.83 401.521 440.541 481.572 562.856 595.419 621.793 691.936 715.926 736.458 745.071 722.209 685.164 652.171 605.711 552.922 504.234 456.224 404.612 352.873 297.775 252.501 211.211 176.499 148.509 121.973 99.066 80.565 66.714 56.844 49.995 44.704 39.715 35.079 30.61 26.32 22.463 19.096 16.345 14.06 12.26 10.711 9.416 8.225 7.202 6.34 5.674 5.164 4.681 4.119 3.465 2.914 2.535 2.257 2.052 1.935 1.899 1.881 1.493 1.028 1.079 1.00 0.125 0.134 0.15 0.408 1.37 16.243 57.17 111.02 170.94 230.63 305.85 363.805 408.45 451.47 493.79 576.67 608.36 632.515 702.78 727.535 747.81 755.565 731.95 694.115 660.91 612.66 557.60 508.715 459.82 407.225 354.76 298.845 252.19 209.755 174.64 146.945 120.70 98.091 79.832 66.28 56.603 49.817 44.613 39.702 35.12 30.706 26.462 22.627 19.262 16.496 14.189 12.376 10.816 9.517 8.333 7.329 6.478 5.791 5.249 4.736 4.151 3.503 2.947 2.564 2.276 2.064 1.941 1.896 1.851 1.461 0.989 1.047 1.00 0.125 0.134 0.151 0.431 1.415 17.055 59.407 112.534 174.043 236.392 314.069 372.042 419.131 465.606 509.364 592.13 623.953 656.859 721.059 743.781 762.843 769.198 744.936 706.004 671.333 623.226 568.528 519.016 468.974 414.822 360.387 303.281 255.362 211.763 176.123 148.045 121.579 98.764 80.365 66.733 57.015 50.188 44.962 40.066 35.505 31.115 26.889 23.064 19.694 16.914 14.594 12.758 11.181 9.863 8.665 7.645 6.77 6.045 5.454 4.896 4.283 3.619 3.055 2.664 2.364 2.141 2.007 1.953 1.892 1.486 0.987 1.045 1.00 0.125 0.135 0.152 0.455 1.46 17.868 61.645 114.048 177.147 242.153 322.288 380.279 429.812 479.741 524.939 607.59 639.547 681.204 739.338 760.027 777.877 782.832 757.921 717.893 681.757 633.792 579.456 529.316 478.129 422.419 366.013 307.717 258.534 213.772 177.607 149.145 122.458 99.437 80.898 67.187 57.427 50.56 45.311 40.431 35.891 31.524 27.316 23.501 20.126 17.332 14.999 13.141 11.546 10.208 8.997 7.962 7.062 6.299 5.659 5.056 4.416 3.736 3.164 2.764 2.453 2.219 2.073 2.011 1.934 1.511 0.986 1.044 1.00 0.125 0.136 0.153 0.478 1.506 18.68 63.882 115.562 180.25 247.915 330.507 388.517 440.493 493.877 540.513 623.05 655.14 705.548 757.617 776.273 792.91 796.465 770.907 729.782 692.18 644.358 590.383 539.617 487.283 430.017 371.64 312.153 261.707 215.78 179.09 150.245 123.337 100.111 81.431 67.64 57.839 50.932 45.66 40.795 36.276 31.933 27.743 23.938 20.559 17.75 15.404 13.524 11.911 10.554 9.33 8.279 7.354 6.553 5.865 5.216 4.548 3.852 3.272 2.865 2.541 2.296 2.139 2.068 1.975 1.536 0.984 1.042 1.00 0.125 0.137 0.154 0.502 1.551 19.493 66.119 117.076 183.353 253.677 338.726 396.754 451.174 508.012 556.088 638.51 670.733 729.893 775.895 792.519 807.943 810.098 783.892 741.67 702.603 654.924 601.311 549.917 496.438 437.614 377.267 316.589 264.879 217.788 180.573 151.345 124.216 100.784 81.964 68.094 58.251 51.304 46.009 41.16 36.662 32.342 28.17 24.375 20.991 18.168 15.809 13.907 12.276 10.90 9.662 8.596 7.646 6.807 6.07 5.376 4.68 3.969 3.38 2.965 2.63 2.374 2.205 2.126 2.016 1.56 0.983 1.04 1.00 0.125 0.138 0.154 0.525 1.596 20.305 68.357 118.589 186.457 259.438 346.944 404.991 461.856 522.148 571.662 653.97 686.327 754.237 794.174 808.766 822.977 823.732 796.878 753.559 713.027 665.491 612.239 560.218 505.592 445.211 382.893 321.026 268.051 219.797 182.057 152.445 125.094 101.457 82.497 68.547 58.662 51.676 46.359 41.524 37.047 32.751 28.598 24.813 21.423 18.586 16.215 14.29 12.64 11.245 9.994 8.912 7.938 7.061 6.275 5.536 4.813 4.085 3.489 3.065 2.718 2.451 2.27 2.183 2.058 1.585 0.981 1.038 1.00 0.125 0.139 0.155 0.549 1.641 21.118 70.594 120.103 189.56 265.20 355.163 413.228 472.537 536.283 587.237 669.43 701.92 778.582 812.453 825.012 838.01 837.365 809.863 765.448 723.45 676.057 623.167 570.518 514.747 452.808 388.52 325.462 271.223 221.805 183.54 153.545 125.973 102.13 83.03 69.001 59.074 52.048 46.708 41.889 37.433 33.16 29.025 25.25 21.855 19.005 16.62 14.673 13.005 11.591 10.326 9.229 8.23 7.316 6.48 5.696 4.945 4.202 3.597 3.166 2.807 2.529 2.336 2.24 2.099 1.61 0.98 1.037 1.00 0.125 0.14 0.156 0.572 1.687 21.93 72.831 121.617 192.663 270.962 363.382 421.466 483.218 550.419 602.811 684.89 717.513 802.926 830.732 841.258 853.043 850.998 822.849 777.337 733.873 686.623 634.094 580.819 523.901 460.406 394.147 329.898 274.396 223.813 185.023 154.645 126.852 102.803 83.563 69.454 59.486 52.42 47.057 42.253 37.818 33.569 29.452 25.687 22.288 19.423 17.025 15.055 13.37 11.937 10.659 9.546 8.522 7.57 6.686 5.856 5.077 4.318 3.705 3.266 2.895 2.606 2.402 2.298 2.14 1.635 0.978 1.035 1.00 0.125 0.141 0.157 0.596 1.732 22.743 75.069 123.131 195.767 276.723 371.601 429.703 493.899 564.554 618.385 700.35 733.107 827.27 849.011 857.504 868.077 864.632 835.834 789.226 744.297 697.189 645.022 591.119 533.056 468.003 399.773 334.334 277.568 225.822 186.507 155.745 127.731 103.476 84.096 69.908 59.898 52.792 47.406 42.618 38.204 33.978 29.879 26.124 22.72 19.841 17.43 15.438 13.735 12.282 10.991 9.863 8.814 7.824 6.891 6.016 5.21 4.435 3.814 3.367 2.984 2.684 2.468 2.355 2.182 1.66 0.977 1.033 1.00 0.125 0.142 0.158 0.619 1.777 23.555 77.306 124.645 198.87 282.485 379.82 437.94 504.58 578.69 633.96 715.81 748.70 851.615 867.29 873.75 883.11 878.265 848.82 801.115 754.72 707.755 655.95 601.42 542.21 475.60 405.40 338.77 280.74 227.83 187.99 156.845 128.61 104.15 84.629 70.362 60.31 53.164 47.755 42.982 38.589 34.387 30.306 26.562 23.152 20.259 17.835 15.821 14.10 12.628 11.323 10.18 9.106 8.078 7.096 6.176 5.342 4.552 3.922 3.467 3.072 2.762 2.534 2.413 2.223 1.685 0.975 1.032 1.00 0.125 0.142 0.157 0.59 1.707 21.782 73.752 120.441 192.414 272.787 366.512 423.938 487.226 556.767 610.197 686.34 717.545 819.557 836.965 843.776 853.164 848.996 821.157 776.556 731.05 685.716 635.023 581.753 524.589 460.201 392.345 327.758 271.483 220.867 181.619 151.501 124.292 100.631 81.752 67.948 58.219 51.305 46.073 41.456 37.209 33.149 29.211 25.599 22.312 19.522 17.183 15.242 13.581 12.158 10.898 9.80 8.77 7.785 6.845 5.96 5.158 4.398 3.791 3.352 2.971 2.673 2.451 2.322 2.14 1.623 0.94 0.995 1.00 0.125 0.142 0.157 0.561 1.637 20.01 70.198 116.237 185.959 263.088 353.204 409.937 469.871 534.843 586.433 656.87 686.389 787.499 806.639 813.802 823.217 819.726 793.493 751.996 707.38 663.677 614.097 562.087 506.968 444.802 379.289 316.746 262.227 213.904 175.248 146.156 119.974 97.113 78.875 65.534 56.128 49.446 44.39 39.929 35.829 31.911 28.117 24.637 21.472 18.784 16.531 14.662 13.063 11.688 10.474 9.421 8.435 7.493 6.594 5.744 4.974 4.244 3.659 3.237 2.87 2.585 2.368 2.231 2.057 1.562 0.905 0.959 1.00 0.125 0.142 0.156 0.533 1.568 18.237 66.644 112.032 179.503 253.39 339.897 395.935 452.517 512.92 562.67 627.40 655.233 755.441 776.313 783.828 793.27 790.456 765.83 727.436 683.71 641.638 593.17 542.42 489.347 429.403 366.233 305.733 252.97 206.942 168.877 140.812 115.656 93.594 75.998 63.12 54.037 47.587 42.708 38.403 34.449 30.674 27.022 23.675 20.631 18.047 15.879 14.083 12.544 11.218 10.049 9.042 8.099 7.20 6.342 5.528 4.79 4.09 3.528 3.122 2.77 2.497 2.285 2.141 1.974 1.501 0.871 0.922 1.00 0.125 0.143 0.156 0.504 1.498 16.465 63.09 107.828 173.048 243.692 326.589 381.933 435.162 490.997 538.907 597.93 624.078 723.384 745.988 753.854 763.323 761.187 738.167 702.877 660.04 619.599 572.243 522.753 471.726 414.004 353.178 294.721 243.713 199.979 162.506 135.467 111.338 90.076 73.121 60.706 51.946 45.729 41.025 36.877 33.069 29.436 25.928 22.713 19.791 17.31 15.227 13.503 12.026 10.748 9.625 8.662 7.764 6.907 6.091 5.312 4.606 3.936 3.396 3.007 2.669 2.409 2.202 2.05 1.891 1.44 0.836 0.886 1.00 0.125 0.143 0.155 0.475 1.428 14.692 59.535 103.624 166.592 233.993 313.281 367.932 417.808 469.073 515.143 568.46 592.922 691.326 715.662 723.881 733.377 731.918 710.503 678.318 636.37 597.561 551.317 503.087 454.104 398.606 340.122 283.709 234.457 193.016 156.134 130.123 107.02 86.557 70.245 58.292 49.855 43.87 39.343 35.35 31.69 28.199 24.833 21.75 18.951 16.573 14.576 12.924 11.507 10.278 9.20 8.283 7.428 6.614 5.84 5.096 4.422 3.782 3.265 2.893 2.568 2.321 2.118 1.959 1.808 1.379 0.801 0.849 1.00 0.125 0.143 0.155 0.446 1.358 12.92 55.981 99.42 160.137 224.295 299.973 353.93 400.453 447.15 491.38 538.99 561.767 659.268 685.337 693.907 703.43 702.648 682.84 653.758 612.70 575.522 530.39 483.42 436.483 383.207 327.067 272.697 225.20 186.053 149.763 124.778 102.702 83.039 67.368 55.878 47.764 42.012 37.66 33.824 30.31 26.961 23.739 20.788 18.111 15.835 13.924 12.345 10.989 9.808 8.776 7.904 7.093 6.322 5.589 4.88 4.238 3.628 3.133 2.778 2.467 2.233 2.035 1.869 1.725 1.318 0.766 0.813 1.00 0.125 0.143 0.154 0.418 1.289 11.147 52.427 95.215 153.681 214.597 286.666 339.928 383.099 425.227 467.617 509.52 530.611 627.211 655.011 663.933 673.483 673.379 655.177 629.199 589.03 553.483 509.463 463.753 418.862 367.808 314.011 261.684 215.943 179.091 143.392 119.434 98.384 79.52 64.491 53.464 45.673 40.153 35.978 32.298 28.93 25.724 22.644 19.826 17.27 15.098 13.272 11.765 10.47 9.338 8.351 7.524 6.757 6.029 5.337 4.664 4.054 3.474 3.002 2.663 2.367 2.144 1.952 1.778 1.642 1.257 0.732 0.776 1.00 0.125 0.144 0.154 0.389 1.219 9.375 48.873 91.011 147.226 204.898 273.358 325.927 365.744 403.303 443.853 480.05 499.456 595.153 624.686 633.959 643.537 644.109 627.513 604.639 565.36 531.444 488.537 444.087 401.241 352.409 300.956 250.672 206.687 172.128 137.021 114.089 94.066 76.002 61.614 51.05 43.582 38.294 34.295 30.771 27.55 24.486 21.55 18.864 16.43 14.361 12.62 11.186 9.952 8.868 7.927 7.145 6.422 5.736 5.086 4.448 3.87 3.32 2.87 2.548 2.266 2.056 1.869 1.688 1.559 1.196 0.697 0.74 1.00 0.125 0.144 0.153 0.36 1.149 7.602 45.319 86.807 140.77 195.20 260.05 311.925 348.39 381.38 420.09 450.58 468.30 563.095 594.36 603.985 613.59 614.84 599.85 580.08 541.69 509.405 467.61 424.42 383.62 337.01 287.90 239.66 197.43 165.165 130.65 108.745 89.748 72.484 58.737 48.636 41.491 36.436 32.613 29.245 26.17 23.249 20.455 17.902 15.59 13.624 11.968 10.607 9.433 8.399 7.502 6.766 6.086 5.444 4.835 4.233 3.686 3.166 2.739 2.433 2.165 1.968 1.786 1.597 1.476 1.135 0.662 0.703 1.00