Photometric File Details

  Filename:   BOLRD-PS14L-Q-3C-BK-180R-40K.IES
 
  More Information:   https://stanprols.com/
 
  Classification:  
Luminaire Lumens512
EfficiencyN.A.
IES ClassificationType IV
Longitudinal ClassificationShort
Cutoff Classification (deprecated)N.A.
Upward Waste Light Ratio0.30
CIE TypeSemi-Direct
Luminaire Efficacy Rating (LER)41
NEMA Horizontal BeamN.A.
NEMA Vertical BeamN.A.
Bug RatingB0-U3-G1
 
  Contents:  
IESNA:LM-63-2002 [TEST] 001 [TESTLAB] [TESTDATE] 2025-06-23 [ISSUEDATE] 2025-06-23 11:46:12 [LAMPPOSITION] 0,0 [OTHER] EVERFINE GO-2000B_V1 SYSTEM [MANUFAC] STANPRO [LUMINAIRE] BOLRD-PS14L-Q-3C-BK-180R-40K [LUMCAT] BOLRD-PS14L-Q-3C-BK-180R-40K [LAMP] 512 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 12.643 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 0.044 0.044 0.044 0.266 0.829 2.062 11.57 21.208 42.488 54.799 67.461 73.899 77.995 83.802 85.959 92.261 104.14 120.825 128.47 136.735 143.07 157.365 168.60 175.67 189.80 204.15 198.27 202.795 197.39 196.645 192.26 180.945 184.16 170.235 161.35 167.17 156.06 152.55 143.22 131.215 123.14 115.06 108.09 99.655 90.52 81.03 71.716 62.623 53.927 45.842 38.373 31.686 25.774 20.945 17.151 14.534 12.648 11.266 10.236 9.255 8.225 7.064 5.884 4.738 3.482 2.451 1.733 1.266 1.135 0.695 0.117 0.11 0.00 0.044 0.044 0.045 0.255 0.788 1.975 10.897 20.302 40.102 51.969 63.769 69.793 73.735 79.208 81.26 87.091 98.185 113.645 120.973 128.649 134.845 147.86 158.102 165.296 178.45 191.401 186.392 190.482 185.575 184.839 180.589 170.416 173.278 160.341 152.203 157.655 147.429 144.054 135.322 124.107 116.534 108.929 102.331 94.336 85.666 76.636 67.778 59.165 50.93 43.175 36.028 29.704 24.137 19.597 16.023 13.562 11.798 10.507 9.54 8.606 7.631 6.53 5.43 4.37 3.215 2.268 1.611 1.182 1.064 0.642 0.11 0.105 0.00 0.044 0.044 0.045 0.245 0.747 1.888 10.223 19.396 37.717 49.14 60.077 65.688 69.475 74.614 76.56 81.922 92.23 106.464 113.476 120.563 126.62 138.355 147.604 154.923 167.099 178.651 174.514 178.169 173.76 173.032 168.918 159.887 162.397 150.447 143.055 148.139 138.799 135.558 127.425 116.999 109.929 102.798 96.572 89.018 80.812 72.242 63.84 55.708 47.933 40.509 33.683 27.722 22.50 18.249 14.895 12.59 10.949 9.748 8.844 7.957 7.037 5.996 4.976 4.003 2.948 2.085 1.488 1.098 0.993 0.588 0.103 0.099 0.00 0.044 0.044 0.046 0.235 0.706 1.801 9.55 18.491 35.331 46.311 56.386 61.582 65.214 70.021 71.861 76.753 86.276 99.284 105.979 112.476 118.394 128.851 137.106 144.549 155.749 165.902 162.635 165.856 161.945 161.226 157.247 149.358 151.515 140.553 133.908 138.624 130.168 127.063 119.527 109.89 103.323 96.667 90.814 83.699 75.958 67.849 59.902 52.251 44.936 37.843 31.337 25.74 20.862 16.902 13.767 11.618 10.099 8.99 8.149 7.309 6.442 5.462 4.523 3.635 2.68 1.902 1.366 1.014 0.922 0.535 0.097 0.094 0.00 0.044 0.044 0.047 0.225 0.665 1.714 8.877 17.585 32.945 43.482 52.694 57.476 60.954 65.427 67.161 71.584 80.321 92.104 98.482 104.39 110.169 119.346 126.608 134.176 144.399 153.152 150.757 153.543 150.13 149.42 145.576 138.829 140.634 130.659 124.761 129.109 121.538 118.567 111.63 102.782 96.718 90.536 85.055 78.38 71.104 63.455 55.964 48.793 41.939 35.176 28.992 23.758 19.225 15.554 12.639 10.646 9.25 8.231 7.453 6.66 5.848 4.928 4.069 3.268 2.413 1.718 1.243 0.93 0.851 0.482 0.09 0.089 0.00 0.044 0.044 0.047 0.215 0.624 1.627 8.203 16.679 30.56 40.653 49.002 53.37 56.694 60.833 62.462 66.415 74.366 84.923 90.985 96.304 101.944 109.841 116.109 123.802 133.048 140.403 138.879 141.23 138.316 137.613 133.905 128.299 129.752 120.765 115.613 119.594 112.907 110.071 103.732 95.674 90.112 84.406 79.296 73.061 66.249 59.061 52.026 45.336 38.943 32.51 26.647 21.776 17.588 14.206 11.51 9.674 8.40 7.472 6.757 6.011 5.254 4.394 3.615 2.90 2.146 1.535 1.121 0.847 0.78 0.428 0.083 0.083 0.00 0.044 0.044 0.048 0.205 0.583 1.54 7.53 15.773 28.174 37.824 45.31 49.265 52.434 56.24 57.762 61.246 68.411 77.743 83.488 88.218 93.719 100.336 105.611 113.429 121.698 127.653 127.001 128.917 126.501 125.807 122.234 117.77 118.871 110.871 106.466 110.078 104.277 101.575 95.835 88.566 83.507 78.275 73.537 67.743 61.395 54.667 48.088 41.879 35.946 29.844 24.302 19.794 15.951 12.859 10.382 8.702 7.551 6.714 6.061 5.362 4.66 3.86 3.161 2.533 1.879 1.352 0.998 0.763 0.709 0.375 0.076 0.078 0.00 0.044 0.044 0.049 0.194 0.542 1.453 6.857 14.867 25.788 34.994 41.619 45.159 48.173 51.646 53.063 56.077 62.457 70.563 75.991 80.131 85.493 90.831 95.113 103.055 110.348 114.904 115.122 116.604 114.686 114.001 110.563 107.241 107.989 100.977 97.319 100.563 95.646 93.079 87.937 81.457 76.901 72.144 67.779 62.424 56.541 50.273 44.15 38.421 32.949 27.177 21.956 17.812 14.313 11.511 9.254 7.73 6.701 5.955 5.366 4.713 4.065 3.326 2.708 2.165 1.611 1.169 0.876 0.679 0.638 0.322 0.07 0.073 0.00 0.044 0.044 0.049 0.184 0.501 1.366 6.183 13.961 23.403 32.165 37.927 41.053 43.913 47.052 48.363 50.908 56.502 63.382 68.494 72.045 77.268 81.326 84.615 92.682 98.997 102.154 103.244 104.291 102.871 102.194 98.892 96.712 97.108 91.083 88.171 91.048 87.016 84.583 80.04 74.349 70.296 66.013 62.02 57.105 51.687 45.879 40.212 34.964 29.952 24.511 19.611 15.83 12.676 10.164 8.126 6.758 5.852 5.196 4.67 4.064 3.471 2.792 2.254 1.798 1.344 0.986 0.753 0.595 0.567 0.268 0.063 0.067 0.00 0.044 0.044 0.05 0.174 0.46 1.279 5.51 13.056 21.017 29.336 34.235 36.948 39.653 42.459 43.664 45.739 50.547 56.202 60.997 63.959 69.043 71.822 74.117 82.308 87.647 89.405 91.366 91.978 91.056 90.388 87.221 86.183 86.226 81.189 79.024 81.533 78.385 76.088 72.142 67.241 63.69 59.882 56.261 51.787 46.833 41.486 36.274 31.507 26.955 21.845 17.266 13.849 11.039 8.816 6.998 5.786 5.002 4.438 3.974 3.416 2.877 2.258 1.80 1.43 1.077 0.803 0.631 0.511 0.496 0.215 0.056 0.062 0.00 0.044 0.044 0.05 0.212 0.567 1.61 7.132 15.719 25.681 35.00 40.905 44.649 48.42 52.178 53.777 56.568 63.041 70.935 77.168 81.18 87.27 91.489 95.511 105.403 111.882 115.776 117.354 118.253 116.725 115.882 111.813 109.779 109.706 102.648 99.766 102.937 98.679 95.413 89.506 83.26 78.532 73.721 69.199 63.374 56.824 49.772 43.063 37.013 31.29 25.115 19.632 15.525 12.281 9.779 7.773 6.408 5.57 4.987 4.491 3.847 3.212 2.455 1.942 1.543 1.169 0.879 0.703 0.59 0.551 0.234 0.068 0.074 0.00 0.044 0.044 0.051 0.249 0.674 1.941 8.754 18.383 30.344 40.664 47.575 52.35 57.188 61.898 63.89 67.397 75.534 85.667 93.34 98.401 105.498 111.157 116.904 128.498 136.117 142.147 143.342 144.528 142.395 141.375 136.405 133.376 133.187 124.108 120.508 124.341 118.973 114.739 106.87 99.28 93.374 87.559 82.136 74.961 66.815 58.059 49.852 42.52 35.624 28.386 21.998 17.201 13.523 10.741 8.547 7.029 6.139 5.537 5.008 4.278 3.548 2.652 2.084 1.656 1.261 0.956 0.774 0.669 0.606 0.253 0.081 0.086 0.00 0.044 0.044 0.051 0.287 0.781 2.272 10.376 21.047 35.008 46.329 54.246 60.052 65.955 71.617 74.003 78.226 88.028 100.40 109.511 115.623 123.725 130.824 138.298 151.594 160.351 168.518 169.331 170.803 168.064 166.869 160.997 156.972 156.667 145.567 141.249 145.745 139.267 134.065 124.235 115.299 108.217 101.398 95.074 86.548 76.805 66.345 56.64 48.026 39.959 31.657 24.363 18.878 14.765 11.704 9.322 7.651 6.707 6.086 5.525 4.709 3.883 2.849 2.227 1.77 1.353 1.032 0.846 0.748 0.661 0.272 0.093 0.097 0.00 0.044 0.044 0.051 0.324 0.888 2.603 11.998 23.711 39.671 51.993 60.916 67.753 74.723 81.337 84.116 89.055 100.522 115.132 125.683 132.844 141.953 150.492 159.692 174.689 184.586 194.889 195.319 197.079 193.733 192.362 185.589 180.568 180.148 167.027 161.991 167.149 159.561 153.391 141.599 131.318 123.059 115.237 108.012 98.135 86.796 74.632 63.429 53.533 44.294 34.927 26.729 20.554 16.007 12.667 10.096 8.272 7.275 6.636 6.042 5.14 4.218 3.046 2.369 1.883 1.445 1.109 0.918 0.827 0.716 0.291 0.106 0.109 0.00 0.044 0.044 0.052 0.362 0.995 2.935 13.621 26.375 44.335 57.657 67.586 75.454 83.49 91.057 94.228 99.884 113.015 129.865 141.854 150.065 160.18 170.16 181.085 197.784 208.821 221.26 221.307 223.354 219.403 217.856 210.182 204.165 203.628 188.487 182.733 188.553 179.854 172.717 158.963 147.338 137.901 129.075 120.949 109.722 96.787 82.919 70.218 59.04 48.628 38.198 29.095 22.23 17.25 13.63 10.871 8.894 7.844 7.185 6.558 5.572 4.554 3.243 2.511 1.996 1.538 1.186 0.989 0.907 0.77 0.31 0.118 0.121 0.00 0.044 0.044 0.052 0.399 1.102 3.266 15.243 29.039 48.998 63.321 74.256 83.156 92.258 100.776 104.341 110.713 125.509 144.597 158.026 167.286 178.408 189.827 202.479 220.879 233.056 247.632 247.295 249.629 245.072 243.349 234.774 227.761 227.109 209.946 203.475 209.958 200.148 192.043 176.327 163.357 152.743 142.914 133.887 121.309 106.778 91.205 77.007 64.546 52.963 41.469 31.461 23.907 18.492 14.592 11.645 9.516 8.412 7.735 7.075 6.003 4.889 3.441 2.653 2.109 1.63 1.262 1.061 0.986 0.825 0.329 0.131 0.133 0.00 0.044 0.044 0.052 0.437 1.209 3.597 16.865 31.702 53.662 68.986 80.927 90.857 101.025 110.496 114.454 121.542 138.003 159.33 174.197 184.508 196.635 209.495 223.873 243.975 257.29 274.003 273.284 275.904 270.741 268.843 259.366 251.357 250.589 231.406 224.216 231.362 220.442 211.368 193.692 179.376 167.586 156.753 146.825 132.896 116.768 99.492 83.795 70.053 57.298 44.74 33.826 25.583 19.734 15.555 12.42 10.137 8.98 8.284 7.592 6.434 5.224 3.638 2.796 2.223 1.722 1.339 1.133 1.065 0.88 0.348 0.143 0.144 0.00 0.044 0.044 0.053 0.474 1.316 3.928 18.487 34.366 58.325 74.65 87.597 98.559 109.793 120.215 124.567 132.371 150.496 174.062 190.369 201.729 214.863 229.162 245.266 267.07 281.525 300.374 299.272 302.18 296.411 294.336 283.958 274.954 274.07 252.865 244.958 252.766 240.736 230.694 211.056 195.396 182.428 170.591 159.762 144.483 126.759 107.778 90.584 75.559 61.632 48.01 36.192 27.259 20.976 16.518 13.194 10.759 9.549 8.834 8.109 6.865 5.56 3.835 2.938 2.336 1.814 1.415 1.204 1.144 0.935 0.367 0.156 0.156 0.00 0.044 0.044 0.053 0.512 1.423 4.26 20.109 37.03 62.989 80.314 94.267 106.26 118.56 129.935 134.68 143.20 162.99 188.795 206.54 218.95 233.09 248.83 266.66 290.165 305.76 326.745 325.26 328.455 322.08 319.83 308.55 298.55 297.55 274.325 265.70 274.17 261.03 250.02 228.42 211.415 197.27 184.43 172.70 156.07 136.75 116.065 97.373 81.066 65.967 51.281 38.558 28.936 22.218 17.481 13.969 11.381 10.117 9.383 8.626 7.297 5.895 4.032 3.08 2.449 1.906 1.492 1.276 1.223 0.99 0.386 0.168 0.168 0.00 0.044 0.044 0.052 0.474 1.31 3.914 18.592 34.088 58.118 74.111 86.88 97.868 109.219 119.665 124.043 131.946 150.362 174.278 190.671 201.943 215.039 229.733 246.083 267.722 282.284 301.809 300.242 303.174 297.33 295.352 284.817 275.568 274.694 253.212 245.403 253.267 241.163 230.789 210.796 195.109 182.047 170.20 159.38 144.109 126.412 107.491 90.348 75.35 61.429 47.917 36.191 27.274 20.989 16.522 13.207 10.776 9.562 8.844 8.109 6.875 5.568 3.849 2.945 2.336 1.808 1.40 1.185 1.122 0.903 0.356 0.157 0.157 0.00 0.044 0.044 0.052 0.436 1.197 3.568 17.074 31.145 53.248 67.909 79.492 89.475 99.878 109.394 113.406 120.692 137.733 159.76 174.801 184.935 196.989 210.636 225.505 245.279 258.807 276.874 275.224 277.894 272.581 270.873 261.084 252.585 251.838 232.099 225.105 232.365 221.295 211.558 193.172 178.804 166.825 155.969 146.061 132.147 116.073 98.918 83.323 69.635 56.891 44.554 33.825 25.612 19.761 15.563 12.444 10.171 9.007 8.305 7.592 6.453 5.24 3.667 2.809 2.223 1.71 1.309 1.094 1.021 0.817 0.326 0.145 0.146 0.00 0.044 0.044 0.051 0.398 1.083 3.222 15.557 28.203 48.377 61.706 72.105 81.083 90.538 99.124 102.769 109.439 125.105 145.243 158.932 167.928 178.938 191.539 204.928 222.836 235.331 251.938 250.207 252.613 247.831 246.395 237.351 229.603 228.983 210.986 204.808 211.462 201.428 192.327 175.547 162.498 151.602 141.739 132.741 120.186 105.735 90.344 76.298 63.919 52.353 41.19 31.458 23.951 18.532 14.604 11.682 9.566 8.451 7.766 7.074 6.031 4.913 3.484 2.674 2.11 1.612 1.217 1.003 0.92 0.73 0.296 0.134 0.135 0.00 0.044 0.044 0.05 0.36 0.97 2.876 14.04 25.26 43.506 55.503 64.717 72.691 81.197 88.853 92.132 98.185 112.477 130.726 143.063 150.92 160.888 172.442 184.35 200.393 211.854 227.003 225.189 227.333 223.082 221.917 213.618 206.62 206.127 189.873 184.51 190.559 181.56 173.095 157.923 146.192 136.379 127.509 119.421 108.225 95.397 81.77 69.273 58.204 47.815 37.827 29.091 22.289 17.303 13.645 10.919 8.961 7.896 7.227 6.557 5.609 4.585 3.302 2.539 1.997 1.514 1.126 0.912 0.819 0.644 0.266 0.122 0.124 0.00 0.044 0.044 0.05 0.322 0.857 2.53 12.522 22.318 38.636 49.30 57.33 64.299 71.856 78.583 81.495 86.931 99.848 116.209 127.193 133.913 142.837 153.344 163.773 177.951 188.378 202.067 200.171 202.052 198.332 197.439 189.884 183.638 183.271 168.76 164.213 169.657 161.693 153.864 140.299 129.887 121.157 113.278 106.102 96.264 85.058 73.196 62.248 52.488 43.276 34.463 26.725 20.627 16.075 12.686 10.157 8.356 7.341 6.688 6.04 5.187 4.258 3.119 2.403 1.883 1.416 1.034 0.822 0.719 0.557 0.236 0.111 0.113 0.00 0.044 0.044 0.049 0.284 0.744 2.184 11.005 19.375 33.765 43.098 49.942 55.906 62.515 68.313 70.858 75.677 87.22 101.691 111.324 116.905 124.787 134.247 143.195 155.508 164.901 177.132 175.153 176.772 173.583 172.96 166.151 160.655 160.415 147.647 143.915 148.754 141.825 134.633 122.675 113.581 105.934 99.048 92.782 84.302 74.72 64.623 55.223 46.773 38.738 31.10 24.358 18.966 14.846 11.728 9.394 7.751 6.786 6.149 5.523 4.765 3.93 2.936 2.268 1.77 1.318 0.942 0.731 0.618 0.471 0.206 0.099 0.102 0.00 0.044 0.044 0.048 0.246 0.63 1.838 9.488 16.433 28.894 36.895 42.555 47.514 53.175 58.042 60.221 64.423 74.592 87.174 95.455 99.898 106.736 115.15 122.618 133.065 141.425 152.196 150.136 151.491 148.833 148.482 142.418 137.673 137.56 126.534 123.618 127.851 121.958 115.402 105.05 97.275 90.711 84.818 79.462 72.341 64.382 56.049 48.198 41.057 34.20 27.736 21.991 17.304 13.617 10.769 8.632 7.146 6.23 5.61 5.005 4.343 3.603 2.754 2.133 1.657 1.22 0.851 0.64 0.517 0.384 0.176 0.088 0.091 0.00 0.044 0.044 0.048 0.208 0.517 1.492 7.97 13.49 24.024 30.692 35.167 39.122 43.834 47.772 49.584 53.169 61.963 72.657 79.585 82.89 88.686 96.053 102.04 110.622 117.948 127.261 125.118 126.211 124.084 124.004 118.685 114.69 114.704 105.421 103.32 106.949 102.09 96.171 87.426 80.97 75.489 70.587 66.143 60.38 54.043 47.475 41.173 35.342 29.662 24.373 19.625 15.643 12.389 9.81 7.869 6.541 5.675 5.071 4.488 3.921 3.275 2.571 1.997 1.544 1.122 0.759 0.549 0.416 0.298 0.146 0.076 0.08 0.00 0.044 0.044 0.047 0.17 0.404 1.147 6.453 10.548 19.153 24.49 27.78 30.73 34.493 37.502 38.947 41.916 49.335 58.14 63.716 65.883 70.635 76.956 81.463 88.179 94.472 102.325 100.10 100.93 99.334 99.526 94.952 91.708 91.848 84.308 83.023 86.046 82.223 76.94 69.802 64.664 60.266 56.357 52.823 48.419 43.705 38.902 34.148 29.626 25.124 21.009 17.258 13.981 11.16 8.851 7.107 5.936 5.12 4.532 3.971 3.50 2.948 2.389 1.862 1.431 1.024 0.668 0.458 0.315 0.211 0.116 0.065 0.07 0.00 0.044 0.044 0.047 0.161 0.388 1.085 5.97 9.95 17.894 23.132 26.245 28.991 32.476 35.237 36.523 39.142 45.833 53.952 59.214 61.324 65.699 71.435 75.724 82.062 87.831 94.912 93.226 94.009 92.381 92.57 88.537 85.564 85.646 78.729 77.537 80.396 76.862 71.967 65.406 60.68 56.616 52.993 49.674 45.54 41.121 36.617 32.158 27.912 23.693 19.834 16.311 13.232 10.582 8.417 6.787 5.694 4.934 4.386 3.863 3.418 2.896 2.359 1.85 1.427 1.024 0.674 0.464 0.323 0.218 0.12 0.067 0.071 0.00 0.044 0.044 0.046 0.153 0.373 1.023 5.486 9.352 16.636 21.774 24.711 27.252 30.459 32.972 34.10 36.369 42.331 49.765 54.711 56.766 60.764 65.914 69.984 75.944 81.19 87.499 86.352 87.088 85.429 85.615 82.122 79.42 79.444 73.151 72.051 74.745 71.501 66.995 61.009 56.695 52.967 49.628 46.525 42.662 38.538 34.332 30.168 26.199 22.262 18.659 15.364 12.483 10.004 7.982 6.467 5.452 4.748 4.239 3.755 3.336 2.844 2.33 1.839 1.423 1.024 0.681 0.469 0.33 0.226 0.124 0.069 0.072 0.00 0.044 0.044 0.046 0.145 0.357 0.961 5.003 8.754 15.377 20.416 23.176 25.514 28.442 30.707 31.676 33.596 38.829 45.578 50.209 52.208 55.828 60.393 64.245 69.827 74.549 80.086 79.479 80.168 78.476 78.659 75.707 73.276 73.242 67.572 66.564 69.095 66.139 62.023 56.613 52.711 49.317 46.264 43.375 39.783 35.954 32.048 28.178 24.485 20.832 17.484 14.417 11.735 9.425 7.548 6.147 5.211 4.562 4.093 3.647 3.254 2.792 2.301 1.827 1.419 1.024 0.687 0.475 0.338 0.233 0.128 0.072 0.074 0.00 0.044 0.044 0.046 0.137 0.342 0.899 4.519 8.156 14.118 19.058 21.642 23.775 26.425 28.442 29.253 30.823 35.327 41.391 45.706 47.65 50.892 54.872 58.506 63.709 67.908 72.673 72.605 73.247 71.523 71.704 69.292 67.132 67.04 61.993 61.078 63.444 60.778 57.051 52.216 48.726 45.668 42.899 40.226 36.905 33.371 29.763 26.188 22.771 19.401 16.308 13.47 10.986 8.847 7.113 5.827 4.969 4.376 3.946 3.539 3.173 2.74 2.271 1.816 1.415 1.024 0.694 0.48 0.345 0.24 0.131 0.074 0.075 0.00 0.044 0.044 0.045 0.128 0.326 0.837 4.036 7.558 12.86 17.70 20.107 22.036 24.407 26.177 26.829 28.049 31.826 37.204 41.204 43.092 45.957 49.352 52.766 57.592 61.268 65.261 65.731 66.326 64.571 64.748 62.876 60.987 60.837 56.415 55.592 57.794 55.417 52.079 47.82 44.742 42.018 39.535 37.077 34.026 30.787 27.478 24.199 21.058 17.97 15.133 12.523 10.237 8.269 6.679 5.508 4.727 4.19 3.80 3.43 3.091 2.687 2.242 1.804 1.411 1.025 0.701 0.486 0.353 0.248 0.135 0.076 0.076 0.00 0.044 0.044 0.045 0.12 0.311 0.776 3.552 6.96 11.601 16.343 18.573 20.298 22.39 23.912 24.406 25.276 28.324 33.017 36.701 38.534 41.021 43.831 47.027 51.475 54.627 57.848 58.857 59.405 57.618 57.793 56.461 54.843 54.635 50.836 50.106 52.143 50.056 47.107 43.423 40.757 38.369 36.17 33.928 31.148 28.204 25.194 22.209 19.344 16.539 13.958 11.576 9.488 7.691 6.244 5.188 4.486 4.004 3.653 3.322 3.009 2.635 2.213 1.793 1.407 1.025 0.707 0.491 0.36 0.255 0.139 0.078 0.078 0.00 0.044 0.044 0.045 0.112 0.295 0.714 3.069 6.362 10.342 14.985 17.038 18.559 20.373 21.647 21.982 22.503 24.822 28.83 32.199 33.975 36.085 38.31 41.288 45.357 47.986 50.435 51.984 52.484 50.665 50.837 50.046 48.699 48.433 45.257 44.619 46.493 44.694 42.134 39.027 36.773 34.719 32.806 30.778 28.269 25.62 22.909 20.219 17.63 15.109 12.783 10.629 8.739 7.112 5.81 4.868 4.244 3.818 3.507 3.214 2.927 2.583 2.184 1.781 1.403 1.025 0.714 0.497 0.368 0.262 0.143 0.081 0.079 0.00 0.044 0.044 0.044 0.104 0.28 0.652 2.585 5.764 9.084 13.627 15.504 16.821 18.356 19.382 19.559 19.73 21.32 24.643 27.696 29.417 31.15 32.789 35.548 39.24 41.345 43.022 45.11 45.563 43.713 43.882 43.631 42.555 42.231 39.679 39.133 40.842 39.333 37.162 34.63 32.788 31.07 29.441 27.629 25.391 23.037 20.625 18.229 15.917 13.678 11.608 9.682 7.99 6.534 5.375 4.548 4.003 3.632 3.36 3.106 2.846 2.531 2.154 1.77 1.399 1.025 0.72 0.502 0.375 0.27 0.147 0.083 0.081 0.00 0.044 0.044 0.044 0.096 0.264 0.59 2.102 5.166 7.825 12.269 13.969 15.082 16.339 17.117 17.135 16.957 17.818 20.456 23.194 24.859 26.214 27.268 29.809 33.123 34.704 35.609 38.236 38.643 36.76 36.927 37.216 36.411 36.029 34.10 33.647 35.192 33.972 32.19 30.234 28.804 27.42 26.077 24.48 22.512 20.453 18.34 16.239 14.203 12.247 10.433 8.735 7.242 5.956 4.941 4.228 3.761 3.446 3.214 2.998 2.764 2.479 2.125 1.758 1.395 1.025 0.727 0.508 0.383 0.277 0.151 0.085 0.082 0.00 0.044 0.044 0.044 0.092 0.249 0.55 1.914 4.838 7.411 11.519 13.205 14.004 15.035 15.697 15.711 15.568 16.365 18.758 21.244 22.766 23.992 24.92 27.145 30.054 31.432 32.233 34.579 34.964 33.316 33.479 33.722 32.966 32.585 30.844 30.428 31.782 30.653 29.05 27.291 26.003 24.76 23.55 22.112 20.344 18.493 16.593 14.702 12.87 11.11 9.48 7.956 6.615 5.464 4.555 3.916 3.496 3.212 3.001 2.803 2.586 2.323 1.996 1.657 1.318 0.975 0.696 0.491 0.371 0.265 0.146 0.087 0.083 0.00 0.044 0.045 0.045 0.089 0.233 0.51 1.727 4.51 6.997 10.769 12.441 12.926 13.731 14.277 14.287 14.18 14.913 17.059 19.295 20.672 21.77 22.571 24.481 26.986 28.16 28.856 30.921 31.286 29.873 30.032 30.227 29.521 29.141 27.587 27.208 28.372 27.334 25.91 24.347 23.203 22.099 21.023 19.745 18.175 16.533 14.845 13.165 11.537 9.974 8.528 7.176 5.989 4.972 4.168 3.604 3.232 2.978 2.789 2.607 2.409 2.168 1.867 1.556 1.24 0.924 0.666 0.475 0.358 0.254 0.142 0.089 0.085 0.00 0.044 0.045 0.045 0.085 0.218 0.47 1.539 4.183 6.582 10.019 11.678 11.848 12.427 12.858 12.864 12.791 13.46 15.361 17.345 18.579 19.549 20.223 21.817 23.917 24.888 25.48 27.264 27.608 26.429 26.585 26.733 26.077 25.698 24.331 23.989 24.962 24.016 22.77 21.404 20.403 19.439 18.496 17.377 16.007 14.572 13.098 11.628 10.205 8.837 7.575 6.397 5.363 4.48 3.782 3.292 2.967 2.744 2.576 2.412 2.231 2.012 1.738 1.454 1.163 0.874 0.635 0.458 0.346 0.242 0.138 0.091 0.086 0.00 0.044 0.046 0.046 0.082 0.202 0.43 1.351 3.855 6.168 9.268 10.914 10.77 11.123 11.438 11.44 11.403 12.007 13.662 15.395 16.486 17.327 17.875 19.153 20.849 21.616 22.103 23.606 23.93 22.985 23.137 23.238 22.632 22.254 21.075 20.77 21.552 20.697 19.63 18.461 17.602 16.778 15.969 15.009 13.838 12.612 11.35 10.091 8.872 7.701 6.623 5.618 4.737 3.988 3.395 2.98 2.702 2.51 2.363 2.217 2.053 1.857 1.609 1.353 1.085 0.824 0.604 0.442 0.333 0.23 0.133 0.093 0.088 0.00 0.044 0.046 0.046 0.078 0.187 0.39 1.164 3.527 5.754 8.518 10.15 9.693 9.818 10.018 10.016 10.015 10.555 11.964 13.446 14.392 15.105 15.526 16.488 17.78 18.344 18.727 19.949 20.252 19.542 19.69 19.744 19.187 18.81 17.818 17.55 18.142 17.378 16.491 15.517 14.802 14.118 13.442 12.642 11.67 10.652 9.603 8.555 7.539 6.564 5.67 4.838 4.111 3.495 3.009 2.668 2.437 2.276 2.15 2.021 1.876 1.701 1.481 1.252 1.008 0.773 0.574 0.425 0.321 0.219 0.129 0.095 0.089 0.00 0.044 0.047 0.047 0.075 0.171 0.35 0.976 3.199 5.34 7.768 9.386 8.615 8.514 8.599 8.592 8.626 9.102 10.265 11.496 12.299 12.883 13.178 13.824 14.712 15.072 15.351 16.291 16.574 16.098 16.243 16.249 15.742 15.366 14.562 14.331 14.732 14.059 13.351 12.574 12.002 11.457 10.915 10.274 9.502 8.692 7.855 7.018 6.206 5.428 4.718 4.059 3.485 3.003 2.622 2.356 2.173 2.042 1.938 1.826 1.698 1.546 1.352 1.151 0.931 0.723 0.543 0.409 0.309 0.207 0.125 0.097 0.091 0.00 0.044 0.047 0.047 0.071 0.156 0.31 0.788 2.872 4.925 7.018 8.623 7.537 7.21 7.179 7.169 7.238 7.649 8.567 9.546 10.206 10.662 10.83 11.16 11.643 11.80 11.974 12.634 12.896 12.654 12.795 12.755 12.297 11.923 11.306 11.112 11.322 10.741 10.211 9.631 9.201 8.797 8.388 7.906 7.333 6.731 6.108 5.481 4.873 4.291 3.765 3.28 2.859 2.511 2.236 2.044 1.908 1.808 1.725 1.631 1.52 1.39 1.223 1.049 0.853 0.673 0.512 0.392 0.296 0.195 0.121 0.099 0.092 0.00 0.044 0.048 0.048 0.068 0.14 0.27 0.601 2.544 4.511 6.268 7.859 6.459 5.906 5.76 5.745 5.849 6.197 6.868 7.597 8.112 8.44 8.481 8.496 8.575 8.528 8.598 8.976 9.218 9.211 9.348 9.26 8.852 8.479 8.049 7.892 7.912 7.422 7.071 6.687 6.401 6.136 5.861 5.539 5.165 4.771 4.36 3.944 3.54 3.155 2.813 2.50 2.233 2.019 1.849 1.732 1.643 1.574 1.512 1.435 1.343 1.235 1.094 0.948 0.776 0.622 0.482 0.376 0.284 0.184 0.116 0.101 0.094 0.00 0.044 0.048 0.048 0.065 0.125 0.23 0.413 2.216 4.097 5.518 7.095 5.381 4.602 4.34 4.321 4.461 4.744 5.17 5.647 6.019 6.218 6.133 5.832 5.507 5.256 5.222 5.319 5.54 5.767 5.901 5.766 5.408 5.035 4.793 4.673 4.503 4.103 3.931 3.744 3.601 3.476 3.335 3.171 2.997 2.811 2.613 2.407 2.208 2.018 1.861 1.721 1.607 1.527 1.463 1.42 1.379 1.34 1.30 1.24 1.165 1.079 0.965 0.847 0.699 0.572 0.451 0.359 0.272 0.172 0.112 0.103 0.095 0.00 0.044 0.048 0.048 0.062 0.116 0.209 0.373 1.979 3.655 4.923 6.33 4.813 4.127 3.90 3.889 4.023 4.285 4.667 5.093 5.426 5.605 5.532 5.268 4.982 4.761 4.732 4.821 5.019 5.222 5.342 5.224 4.907 4.578 4.366 4.259 4.111 3.76 3.61 3.446 3.322 3.212 3.087 2.941 2.786 2.621 2.445 2.261 2.082 1.911 1.768 1.64 1.534 1.46 1.398 1.357 1.316 1.277 1.238 1.179 1.109 1.029 0.922 0.813 0.676 0.558 0.446 0.358 0.274 0.181 0.12 0.11 0.101 0.00 0.044 0.047 0.047 0.06 0.107 0.189 0.332 1.741 3.213 4.328 5.565 4.244 3.652 3.46 3.457 3.585 3.827 4.164 4.54 4.833 4.993 4.932 4.704 4.457 4.266 4.243 4.323 4.498 4.677 4.783 4.681 4.406 4.121 3.938 3.845 3.72 3.417 3.289 3.149 3.044 2.949 2.839 2.711 2.575 2.431 2.276 2.116 1.956 1.803 1.675 1.559 1.46 1.392 1.333 1.294 1.253 1.214 1.176 1.119 1.053 0.978 0.879 0.778 0.654 0.545 0.441 0.357 0.277 0.189 0.129 0.116 0.106 0.00 0.044 0.047 0.047 0.058 0.098 0.168 0.292 1.504 2.77 3.733 4.80 3.676 3.177 3.021 3.026 3.148 3.368 3.66 3.986 4.24 4.38 4.331 4.141 3.933 3.771 3.754 3.825 3.977 4.132 4.225 4.139 3.906 3.665 3.511 3.432 3.329 3.074 2.968 2.851 2.766 2.685 2.591 2.482 2.365 2.24 2.108 1.97 1.83 1.696 1.582 1.478 1.387 1.325 1.267 1.23 1.191 1.151 1.114 1.058 0.997 0.928 0.836 0.744 0.632 0.531 0.435 0.357 0.279 0.198 0.137 0.123 0.112 0.00 0.044 0.046 0.046 0.055 0.089 0.147 0.251 1.267 2.328 3.138 4.035 3.108 2.702 2.581 2.594 2.71 2.909 3.157 3.433 3.647 3.767 3.73 3.577 3.408 3.276 3.265 3.327 3.456 3.587 3.666 3.597 3.405 3.208 3.083 3.018 2.937 2.731 2.647 2.554 2.487 2.421 2.343 2.252 2.154 2.05 1.939 1.824 1.705 1.589 1.489 1.397 1.313 1.257 1.202 1.167 1.128 1.088 1.052 0.998 0.941 0.878 0.793 0.71 0.61 0.518 0.43 0.356 0.282 0.207 0.145 0.129 0.117 0.00 0.044 0.046 0.046 0.053 0.08 0.127 0.211 1.03 1.886 2.543 3.27 2.54 2.227 2.141 2.162 2.272 2.451 2.654 2.879 3.054 3.155 3.129 3.013 2.883 2.782 2.776 2.828 2.935 3.041 3.108 3.054 2.905 2.751 2.656 2.604 2.546 2.389 2.326 2.256 2.209 2.158 2.096 2.022 1.943 1.86 1.771 1.679 1.579 1.481 1.396 1.317 1.24 1.19 1.137 1.104 1.065 1.025 0.99 0.937 0.885 0.827 0.749 0.675 0.588 0.504 0.425 0.355 0.284 0.215 0.153 0.136 0.123 0.00 0.044 0.045 0.045 0.051 0.071 0.106 0.17 0.792 1.444 1.948 2.505 1.971 1.752 1.701 1.73 1.834 1.992 2.151 2.326 2.461 2.542 2.529 2.449 2.359 2.287 2.287 2.33 2.414 2.496 2.549 2.512 2.404 2.294 2.229 2.19 2.155 2.046 2.005 1.959 1.931 1.894 1.848 1.792 1.733 1.67 1.603 1.533 1.453 1.374 1.303 1.236 1.167 1.122 1.072 1.041 1.003 0.962 0.928 0.877 0.829 0.777 0.706 0.641 0.566 0.491 0.42 0.354 0.287 0.224 0.162 0.142 0.128 0.00 0.044 0.045 0.045 0.049 0.062 0.085 0.13 0.555 1.001 1.353 1.74 1.403 1.277 1.261 1.299 1.396 1.533 1.647 1.772 1.868 1.929 1.928 1.886 1.834 1.792 1.798 1.832 1.893 1.951 1.991 1.97 1.904 1.838 1.801 1.777 1.763 1.703 1.684 1.661 1.653 1.63 1.60 1.563 1.522 1.479 1.434 1.387 1.327 1.267 1.21 1.155 1.093 1.055 1.006 0.977 0.94 0.899 0.866 0.816 0.773 0.727 0.663 0.607 0.543 0.477 0.414 0.354 0.289 0.233 0.17 0.149 0.134 0.00 0.044 0.044 0.044 0.046 0.053 0.065 0.089 0.318 0.559 0.758 0.975 0.835 0.802 0.821 0.867 0.958 1.075 1.144 1.219 1.275 1.317 1.327 1.322 1.31 1.297 1.309 1.334 1.372 1.406 1.432 1.427 1.403 1.381 1.374 1.363 1.372 1.36 1.363 1.364 1.374 1.367 1.352 1.333 1.312 1.289 1.266 1.242 1.202 1.159 1.117 1.074 1.02 0.987 0.941 0.914 0.877 0.836 0.804 0.756 0.717 0.676 0.62 0.572 0.521 0.464 0.409 0.353 0.292 0.241 0.178 0.155 0.139 0.00 0.044 0.044 0.044 0.044 0.044 0.044 0.049 0.081 0.117 0.164 0.21 0.267 0.327 0.382 0.435 0.521 0.616 0.641 0.665 0.683 0.704 0.727 0.758 0.785 0.802 0.82 0.836 0.851 0.861 0.874 0.885 0.903 0.924 0.947 0.949 0.981 1.017 1.042 1.066 1.096 1.103 1.105 1.103 1.101 1.099 1.098 1.096 1.076 1.052 1.025 0.993 0.947 0.92 0.876 0.851 0.815 0.773 0.742 0.695 0.661 0.626 0.577 0.538 0.499 0.45 0.404 0.352 0.294 0.25 0.187 0.162 0.145 0.00 0.044 0.044 0.044 0.044 0.044 0.044 0.048 0.076 0.109 0.151 0.194 0.245 0.299 0.35 0.398 0.477 0.565 0.589 0.613 0.632 0.654 0.678 0.71 0.738 0.757 0.777 0.796 0.814 0.828 0.844 0.859 0.879 0.904 0.927 0.935 0.967 1.002 1.027 1.049 1.077 1.083 1.084 1.083 1.08 1.076 1.074 1.071 1.051 1.026 0.998 0.967 0.922 0.896 0.853 0.826 0.791 0.75 0.719 0.674 0.639 0.605 0.558 0.519 0.481 0.434 0.391 0.341 0.286 0.245 0.183 0.159 0.141 0.00 0.044 0.044 0.044 0.044 0.044 0.044 0.048 0.072 0.102 0.139 0.177 0.224 0.272 0.318 0.362 0.434 0.513 0.537 0.561 0.581 0.604 0.629 0.662 0.691 0.712 0.735 0.756 0.777 0.795 0.814 0.832 0.856 0.883 0.908 0.921 0.953 0.987 1.012 1.032 1.058 1.063 1.064 1.063 1.059 1.054 1.05 1.045 1.025 1.00 0.972 0.941 0.897 0.871 0.829 0.802 0.767 0.727 0.696 0.652 0.618 0.584 0.538 0.50 0.463 0.418 0.378 0.33 0.278 0.24 0.18 0.156 0.138 0.00 0.044 0.044 0.044 0.044 0.044 0.044 0.047 0.068 0.094 0.127 0.161 0.202 0.244 0.287 0.325 0.39 0.462 0.486 0.509 0.531 0.555 0.581 0.614 0.644 0.667 0.693 0.716 0.741 0.762 0.784 0.806 0.832 0.863 0.889 0.907 0.939 0.972 0.997 1.016 1.039 1.043 1.044 1.042 1.038 1.031 1.026 1.02 1.00 0.975 0.946 0.915 0.873 0.847 0.806 0.777 0.744 0.705 0.673 0.631 0.597 0.563 0.519 0.481 0.445 0.401 0.365 0.318 0.27 0.234 0.177 0.153 0.135 0.00 0.044 0.044 0.044 0.044 0.044 0.044 0.047 0.064 0.087 0.115 0.144 0.181 0.217 0.255 0.289 0.347 0.411 0.434 0.457 0.48 0.505 0.532 0.566 0.597 0.622 0.65 0.676 0.704 0.729 0.754 0.78 0.809 0.843 0.87 0.893 0.925 0.957 0.982 0.999 1.02 1.023 1.024 1.022 1.017 1.008 1.002 0.995 0.974 0.949 0.92 0.889 0.848 0.823 0.782 0.753 0.72 0.682 0.65 0.609 0.575 0.542 0.50 0.462 0.427 0.385 0.352 0.307 0.261 0.229 0.174 0.15 0.131 0.00 0.044 0.044 0.044 0.044 0.044 0.044 0.046 0.06 0.079 0.103 0.128 0.159 0.189 0.223 0.252 0.304 0.359 0.382 0.406 0.43 0.455 0.483 0.518 0.55 0.577 0.608 0.636 0.667 0.696 0.724 0.753 0.786 0.822 0.85 0.88 0.911 0.942 0.968 0.982 1.00 1.004 1.003 1.002 0.996 0.986 0.979 0.969 0.949 0.923 0.894 0.862 0.823 0.798 0.759 0.728 0.696 0.659 0.627 0.588 0.554 0.52 0.48 0.442 0.409 0.369 0.339 0.296 0.253 0.224 0.171 0.148 0.128 0.00 0.044 0.044 0.044 0.044 0.044 0.044 0.046 0.056 0.072 0.091 0.111 0.138 0.162 0.192 0.216 0.26 0.308 0.33 0.354 0.379 0.405 0.435 0.47 0.503 0.532 0.566 0.596 0.63 0.663 0.694 0.727 0.762 0.802 0.831 0.866 0.897 0.927 0.953 0.965 0.981 0.984 0.983 0.982 0.975 0.963 0.955 0.944 0.923 0.897 0.868 0.836 0.799 0.774 0.736 0.704 0.673 0.636 0.604 0.566 0.533 0.499 0.461 0.423 0.391 0.353 0.326 0.285 0.245 0.219 0.168 0.145 0.125 0.00 0.044 0.044 0.044 0.044 0.044 0.044 0.045 0.052 0.064 0.079 0.095 0.116 0.134 0.16 0.179 0.217 0.257 0.278 0.302 0.329 0.356 0.386 0.422 0.456 0.487 0.523 0.556 0.594 0.63 0.664 0.701 0.739 0.782 0.812 0.852 0.883 0.912 0.938 0.949 0.962 0.964 0.963 0.961 0.954 0.94 0.931 0.919 0.898 0.872 0.841 0.81 0.774 0.75 0.712 0.679 0.649 0.614 0.581 0.545 0.512 0.478 0.442 0.404 0.373 0.336 0.313 0.273 0.237 0.213 0.165 0.142 0.122 0.00 0.044 0.044 0.044 0.044 0.044 0.044 0.045 0.048 0.057 0.067 0.078 0.095 0.107 0.129 0.143 0.173 0.205 0.226 0.25 0.278 0.306 0.338 0.374 0.409 0.442 0.481 0.516 0.557 0.597 0.634 0.674 0.715 0.761 0.793 0.838 0.869 0.897 0.923 0.932 0.943 0.944 0.943 0.941 0.933 0.918 0.907 0.893 0.872 0.846 0.815 0.784 0.75 0.725 0.689 0.655 0.625 0.591 0.558 0.523 0.49 0.457 0.422 0.385 0.355 0.32 0.30 0.262 0.229 0.208 0.162 0.139 0.118 0.00 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.049 0.055 0.062 0.073 0.079 0.097 0.106 0.13 0.154 0.175 0.198 0.228 0.256 0.289 0.326 0.362 0.397 0.439 0.476 0.52 0.564 0.604 0.648 0.692 0.741 0.774 0.824 0.855 0.882 0.908 0.915 0.924 0.924 0.923 0.921 0.912 0.895 0.884 0.868 0.847 0.82 0.789 0.758 0.725 0.701 0.666 0.63 0.602 0.568 0.536 0.502 0.469 0.436 0.403 0.366 0.338 0.304 0.287 0.251 0.221 0.203 0.159 0.136 0.115 0.00 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.048 0.055 0.062 0.073 0.079 0.097 0.107 0.131 0.156 0.177 0.202 0.232 0.261 0.295 0.333 0.37 0.406 0.448 0.488 0.532 0.577 0.617 0.662 0.707 0.756 0.79 0.84 0.871 0.898 0.925 0.932 0.941 0.941 0.94 0.939 0.929 0.914 0.903 0.886 0.865 0.838 0.808 0.777 0.744 0.719 0.683 0.648 0.619 0.585 0.551 0.517 0.483 0.448 0.413 0.376 0.347 0.312 0.294 0.256 0.226 0.206 0.162 0.139 0.12 0.00 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.048 0.054 0.062 0.072 0.079 0.098 0.108 0.132 0.158 0.179 0.206 0.236 0.265 0.301 0.339 0.379 0.415 0.458 0.50 0.544 0.589 0.63 0.676 0.721 0.771 0.807 0.855 0.888 0.915 0.943 0.949 0.957 0.958 0.958 0.956 0.947 0.934 0.922 0.904 0.883 0.857 0.827 0.796 0.762 0.736 0.701 0.666 0.636 0.602 0.567 0.531 0.498 0.46 0.424 0.386 0.356 0.32 0.301 0.261 0.231 0.208 0.165 0.141 0.125 0.00 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.047 0.054 0.062 0.072 0.078 0.098 0.109 0.134 0.16 0.182 0.209 0.241 0.27 0.308 0.346 0.387 0.425 0.468 0.512 0.556 0.602 0.643 0.689 0.736 0.786 0.823 0.871 0.904 0.931 0.96 0.966 0.974 0.976 0.976 0.974 0.964 0.953 0.941 0.922 0.901 0.875 0.846 0.816 0.781 0.754 0.718 0.684 0.653 0.619 0.583 0.546 0.512 0.472 0.434 0.396 0.366 0.328 0.308 0.266 0.236 0.211 0.168 0.144 0.13 0.00 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.047 0.054 0.062 0.071 0.078 0.098 0.11 0.135 0.162 0.184 0.213 0.245 0.275 0.314 0.353 0.396 0.434 0.477 0.524 0.568 0.615 0.656 0.703 0.751 0.801 0.84 0.886 0.921 0.948 0.977 0.983 0.991 0.993 0.994 0.992 0.982 0.972 0.96 0.94 0.919 0.894 0.865 0.835 0.799 0.771 0.736 0.702 0.67 0.636 0.599 0.56 0.526 0.484 0.444 0.406 0.375 0.336 0.315 0.271 0.241 0.213 0.171 0.147 0.135 0.00 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.046 0.054 0.061 0.071 0.078 0.098 0.112 0.136 0.163 0.186 0.217 0.25 0.279 0.32 0.359 0.404 0.443 0.487 0.536 0.58 0.627 0.67 0.717 0.765 0.816 0.857 0.902 0.937 0.964 0.995 1.001 1.007 1.01 1.012 1.009 0.999 0.992 0.979 0.958 0.937 0.912 0.885 0.854 0.818 0.789 0.753 0.721 0.687 0.654 0.614 0.575 0.54 0.497 0.455 0.417 0.384 0.343 0.322 0.277 0.246 0.216 0.175 0.149 0.14 0.00 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.046 0.053 0.061 0.07 0.078 0.099 0.113 0.137 0.165 0.189 0.221 0.254 0.284 0.326 0.366 0.413 0.452 0.497 0.548 0.592 0.64 0.683 0.731 0.78 0.831 0.873 0.917 0.953 0.981 1.012 1.018 1.024 1.027 1.03 1.027 1.016 1.011 0.998 0.976 0.955 0.931 0.904 0.873 0.837 0.806 0.771 0.739 0.704 0.671 0.63 0.589 0.555 0.509 0.465 0.427 0.394 0.351 0.329 0.282 0.252 0.218 0.178 0.152 0.145 0.00 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.045 0.053 0.061 0.07 0.077 0.099 0.114 0.138 0.167 0.191 0.224 0.259 0.289 0.332 0.373 0.421 0.462 0.507 0.56 0.604 0.653 0.696 0.744 0.795 0.846 0.89 0.933 0.97 0.997 1.029 1.035 1.041 1.045 1.048 1.045 1.034 1.03 1.017 0.994 0.973 0.949 0.923 0.893 0.855 0.824 0.788 0.757 0.721 0.688 0.646 0.604 0.569 0.521 0.475 0.437 0.403 0.359 0.336 0.287 0.257 0.221 0.181 0.155 0.15 0.00 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.045 0.053 0.061 0.069 0.077 0.099 0.115 0.139 0.169 0.194 0.228 0.263 0.293 0.338 0.379 0.43 0.471 0.516 0.572 0.616 0.665 0.709 0.758 0.809 0.861 0.906 0.948 0.986 1.014 1.047 1.052 1.057 1.062 1.066 1.062 1.051 1.05 1.036 1.012 0.991 0.968 0.942 0.912 0.874 0.841 0.806 0.775 0.738 0.705 0.662 0.618 0.583 0.533 0.486 0.447 0.412 0.367 0.343 0.292 0.262 0.223 0.184 0.157 0.155 0.00 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.053 0.061 0.069 0.077 0.10 0.116 0.141 0.171 0.196 0.232 0.268 0.298 0.345 0.386 0.438 0.48 0.526 0.584 0.628 0.678 0.722 0.772 0.824 0.876 0.923 0.964 1.003 1.03 1.064 1.069 1.074 1.079 1.084 1.08 1.069 1.069 1.055 1.03 1.009 0.986 0.961 0.931 0.893 0.859 0.824 0.793 0.755 0.722 0.678 0.633 0.598 0.545 0.496 0.457 0.422 0.375 0.35 0.297 0.267 0.226 0.188 0.16 0.16 0.00 0.044 0.044 0.044 0.044 0.043 0.043 0.042 0.042 0.042 0.05 0.057 0.064 0.071 0.092 0.107 0.13 0.158 0.183 0.218 0.25 0.281 0.323 0.363 0.412 0.452 0.496 0.55 0.593 0.64 0.683 0.73 0.779 0.828 0.873 0.913 0.95 0.977 1.009 1.015 1.022 1.027 1.031 1.028 1.018 1.019 1.006 0.984 0.963 0.942 0.917 0.888 0.852 0.819 0.786 0.757 0.721 0.689 0.647 0.605 0.571 0.521 0.475 0.437 0.403 0.359 0.334 0.285 0.257 0.218 0.182 0.155 0.154 0.00 0.044 0.043 0.043 0.043 0.042 0.041 0.04 0.04 0.04 0.047 0.053 0.059 0.066 0.085 0.099 0.12 0.145 0.17 0.203 0.233 0.263 0.302 0.34 0.385 0.424 0.466 0.517 0.557 0.601 0.643 0.688 0.735 0.781 0.824 0.861 0.897 0.923 0.954 0.961 0.969 0.974 0.979 0.976 0.968 0.968 0.958 0.938 0.918 0.898 0.874 0.846 0.811 0.78 0.749 0.721 0.687 0.657 0.617 0.577 0.544 0.497 0.453 0.417 0.385 0.343 0.319 0.273 0.246 0.209 0.176 0.151 0.147 0.00 0.044 0.043 0.043 0.043 0.041 0.04 0.038 0.038 0.038 0.044 0.049 0.055 0.06 0.077 0.09 0.11 0.133 0.157 0.189 0.216 0.246 0.281 0.317 0.359 0.396 0.436 0.483 0.522 0.563 0.604 0.646 0.69 0.733 0.774 0.81 0.844 0.87 0.899 0.908 0.917 0.922 0.926 0.924 0.918 0.918 0.909 0.892 0.872 0.853 0.83 0.803 0.771 0.74 0.712 0.685 0.653 0.624 0.587 0.548 0.517 0.473 0.432 0.398 0.366 0.327 0.303 0.262 0.236 0.201 0.171 0.146 0.141 0.00 0.044 0.043 0.043 0.043 0.04 0.038 0.036 0.036 0.036 0.041 0.045 0.05 0.054 0.07 0.081 0.10 0.12 0.144 0.175 0.198 0.228 0.259 0.294 0.333 0.368 0.406 0.45 0.486 0.524 0.564 0.604 0.645 0.685 0.724 0.759 0.791 0.816 0.844 0.854 0.865 0.87 0.874 0.872 0.867 0.868 0.86 0.846 0.827 0.809 0.787 0.76 0.73 0.701 0.675 0.649 0.619 0.592 0.557 0.52 0.49 0.449 0.41 0.378 0.348 0.311 0.287 0.25 0.226 0.192 0.165 0.141 0.135 0.00 0.044 0.042 0.042 0.042 0.039 0.037 0.034 0.034 0.034 0.038 0.042 0.045 0.049 0.062 0.073 0.089 0.107 0.131 0.16 0.181 0.211 0.238 0.271 0.307 0.341 0.376 0.416 0.451 0.486 0.525 0.562 0.60 0.638 0.675 0.707 0.739 0.763 0.79 0.80 0.813 0.817 0.821 0.821 0.817 0.817 0.811 0.801 0.781 0.765 0.743 0.718 0.69 0.661 0.638 0.614 0.585 0.559 0.527 0.492 0.463 0.425 0.389 0.358 0.33 0.296 0.272 0.238 0.216 0.184 0.159 0.137 0.128 0.00 0.044 0.042 0.042 0.042 0.038 0.035 0.032 0.032 0.032 0.035 0.038 0.04 0.043 0.055 0.064 0.079 0.094 0.118 0.146 0.164 0.193 0.217 0.248 0.28 0.313 0.346 0.383 0.415 0.447 0.485 0.52 0.556 0.59 0.625 0.656 0.686 0.709 0.735 0.746 0.76 0.765 0.769 0.769 0.767 0.767 0.763 0.755 0.736 0.721 0.699 0.675 0.649 0.622 0.601 0.578 0.551 0.527 0.497 0.464 0.436 0.401 0.367 0.338 0.311 0.28 0.256 0.226 0.205 0.175 0.154 0.132 0.122 0.00 0.044 0.042 0.042 0.042 0.037 0.034 0.03 0.03 0.03 0.032 0.034 0.036 0.037 0.047 0.055 0.069 0.082 0.105 0.132 0.146 0.176 0.196 0.225 0.254 0.285 0.316 0.349 0.38 0.409 0.446 0.478 0.511 0.542 0.575 0.605 0.633 0.656 0.68 0.693 0.708 0.713 0.716 0.717 0.716 0.717 0.714 0.709 0.69 0.676 0.656 0.632 0.609 0.582 0.564 0.542 0.517 0.494 0.467 0.435 0.409 0.377 0.346 0.319 0.293 0.264 0.24 0.215 0.195 0.167 0.148 0.127 0.116 0.00 0.044 0.041 0.041 0.041 0.036 0.032 0.028 0.028 0.028 0.029 0.03 0.031 0.032 0.04 0.047 0.059 0.069 0.092 0.117 0.129 0.158 0.174 0.202 0.228 0.257 0.286 0.316 0.344 0.37 0.406 0.436 0.466 0.495 0.526 0.553 0.58 0.602 0.625 0.639 0.656 0.66 0.664 0.665 0.666 0.666 0.665 0.663 0.645 0.632 0.612 0.59 0.568 0.543 0.527 0.506 0.483 0.462 0.437 0.407 0.382 0.353 0.324 0.299 0.274 0.248 0.225 0.203 0.185 0.158 0.142 0.123 0.109 0.00 0.044 0.041 0.041 0.041 0.035 0.031 0.026 0.026 0.026 0.026 0.026 0.026 0.026 0.032 0.038 0.049 0.056 0.079 0.103 0.112 0.141 0.153 0.179 0.202 0.229 0.256 0.282 0.309 0.332 0.367 0.394 0.422 0.447 0.476 0.502 0.528 0.549 0.57 0.585 0.604 0.608 0.611 0.613 0.616 0.616 0.617 0.617 0.60 0.588 0.569 0.547 0.528 0.503 0.49 0.47 0.449 0.429 0.407 0.379 0.355 0.329 0.303 0.279 0.256 0.232 0.209 0.191 0.175 0.15 0.137 0.118 0.103 0.00 0.044 0.041 0.041 0.041 0.036 0.034 0.034 0.041 0.052 0.058 0.069 0.079 0.091 0.105 0.123 0.146 0.169 0.20 0.224 0.238 0.266 0.284 0.314 0.34 0.368 0.397 0.423 0.45 0.473 0.508 0.536 0.566 0.591 0.623 0.649 0.677 0.702 0.726 0.74 0.758 0.763 0.766 0.769 0.77 0.77 0.768 0.765 0.745 0.729 0.708 0.682 0.657 0.628 0.609 0.584 0.56 0.539 0.51 0.478 0.449 0.418 0.386 0.355 0.326 0.293 0.265 0.244 0.213 0.176 0.157 0.137 0.12 0.00 0.044 0.042 0.042 0.042 0.037 0.038 0.042 0.057 0.077 0.091 0.112 0.132 0.156 0.179 0.208 0.243 0.283 0.321 0.345 0.364 0.392 0.415 0.449 0.478 0.507 0.538 0.564 0.592 0.615 0.649 0.679 0.711 0.736 0.769 0.796 0.826 0.854 0.882 0.895 0.912 0.917 0.921 0.925 0.925 0.924 0.919 0.913 0.89 0.871 0.848 0.817 0.786 0.754 0.729 0.699 0.671 0.649 0.612 0.577 0.543 0.507 0.469 0.431 0.396 0.355 0.321 0.297 0.251 0.203 0.178 0.156 0.136 0.00 0.044 0.042 0.042 0.042 0.038 0.041 0.05 0.072 0.103 0.123 0.156 0.185 0.22 0.252 0.293 0.34 0.396 0.442 0.465 0.49 0.517 0.546 0.584 0.616 0.646 0.679 0.705 0.733 0.756 0.79 0.821 0.856 0.88 0.916 0.943 0.975 1.007 1.038 1.051 1.066 1.072 1.076 1.08 1.08 1.078 1.071 1.061 1.036 1.012 0.987 0.952 0.916 0.879 0.848 0.813 0.782 0.759 0.715 0.676 0.637 0.595 0.552 0.506 0.466 0.416 0.377 0.351 0.29 0.229 0.198 0.176 0.153 0.00 0.044 0.042 0.042 0.042 0.039 0.045 0.058 0.087 0.128 0.156 0.199 0.238 0.285 0.325 0.378 0.437 0.509 0.563 0.586 0.616 0.643 0.677 0.719 0.755 0.785 0.82 0.846 0.875 0.898 0.931 0.963 1.00 1.024 1.062 1.09 1.124 1.159 1.194 1.206 1.22 1.226 1.231 1.236 1.235 1.232 1.222 1.209 1.181 1.153 1.127 1.087 1.045 1.004 0.968 0.927 0.894 0.869 0.817 0.775 0.732 0.684 0.635 0.582 0.536 0.477 0.433 0.404 0.328 0.255 0.219 0.195 0.169 0.00 0.044 0.043 0.043 0.043 0.04 0.048 0.065 0.102 0.154 0.188 0.242 0.291 0.35 0.399 0.463 0.534 0.623 0.684 0.707 0.743 0.768 0.808 0.853 0.893 0.925 0.961 0.988 1.016 1.039 1.072 1.106 1.145 1.169 1.209 1.237 1.273 1.312 1.351 1.361 1.374 1.381 1.387 1.392 1.39 1.385 1.373 1.356 1.327 1.295 1.266 1.223 1.174 1.13 1.087 1.042 1.005 0.979 0.92 0.873 0.826 0.773 0.717 0.658 0.606 0.539 0.49 0.457 0.366 0.282 0.239 0.214 0.186 0.00 0.044 0.043 0.043 0.043 0.041 0.052 0.073 0.118 0.179 0.22 0.285 0.344 0.415 0.472 0.548 0.631 0.736 0.805 0.828 0.869 0.894 0.939 0.988 1.031 1.064 1.102 1.129 1.158 1.181 1.213 1.248 1.29 1.313 1.355 1.384 1.422 1.464 1.507 1.516 1.528 1.535 1.542 1.548 1.545 1.539 1.525 1.504 1.472 1.436 1.406 1.358 1.304 1.255 1.207 1.156 1.116 1.089 1.023 0.972 0.92 0.862 0.80 0.734 0.676 0.60 0.546 0.51 0.405 0.308 0.26 0.233 0.202 0.00 0.044 0.043 0.043 0.043 0.042 0.055 0.081 0.133 0.205 0.253 0.329 0.397 0.479 0.545 0.633 0.728 0.849 0.926 0.948 0.995 1.019 1.07 1.123 1.169 1.203 1.243 1.27 1.299 1.322 1.354 1.39 1.434 1.457 1.502 1.531 1.571 1.617 1.663 1.672 1.682 1.69 1.697 1.703 1.70 1.693 1.676 1.652 1.618 1.577 1.545 1.493 1.433 1.38 1.326 1.27 1.227 1.199 1.125 1.071 1.014 0.95 0.883 0.809 0.746 0.661 0.602 0.564 0.443 0.334 0.28 0.253 0.219 0.00 0.044 0.044 0.044 0.044 0.043 0.059 0.089 0.148 0.23 0.285 0.372 0.45 0.544 0.619 0.718 0.825 0.963 1.047 1.069 1.121 1.145 1.201 1.258 1.308 1.342 1.384 1.411 1.441 1.464 1.495 1.533 1.579 1.602 1.648 1.678 1.72 1.769 1.819 1.827 1.836 1.844 1.852 1.859 1.855 1.847 1.828 1.80 1.763 1.719 1.685 1.628 1.563 1.506 1.446 1.385 1.339 1.309 1.228 1.17 1.109 1.039 0.966 0.885 0.816 0.723 0.658 0.617 0.481 0.361 0.301 0.272 0.235 0.00 0.044 0.044 0.044 0.044 0.044 0.062 0.097 0.164 0.256 0.318 0.415 0.503 0.609 0.692 0.803 0.922 1.076 1.168 1.19 1.248 1.27 1.332 1.393 1.446 1.481 1.525 1.552 1.583 1.605 1.636 1.675 1.724 1.746 1.795 1.825 1.869 1.922 1.975 1.982 1.991 1.999 2.007 2.015 2.01 2.001 1.979 1.948 1.909 1.86 1.825 1.763 1.692 1.631 1.565 1.499 1.45 1.419 1.331 1.269 1.203 1.128 1.049 0.961 0.886 0.784 0.714 0.67 0.52 0.387 0.322 0.291 0.252 0.00 0.044 0.044 0.043 0.043 0.045 0.07 0.116 0.303 0.579 0.766 0.947 0.961 0.961 0.994 1.078 1.19 1.352 1.474 1.537 1.616 1.654 1.708 1.739 1.757 1.762 1.79 1.816 1.863 1.909 1.958 1.995 2.011 1.999 2.021 2.04 2.069 2.079 2.114 2.107 2.103 2.101 2.098 2.092 2.072 2.048 2.011 1.966 1.913 1.854 1.807 1.74 1.665 1.603 1.537 1.474 1.425 1.393 1.309 1.247 1.181 1.106 1.026 0.937 0.858 0.759 0.689 0.64 0.498 0.37 0.302 0.271 0.235 0.00 0.044 0.044 0.043 0.042 0.047 0.078 0.135 0.443 0.903 1.215 1.48 1.42 1.312 1.295 1.353 1.458 1.629 1.78 1.883 1.985 2.037 2.084 2.085 2.068 2.043 2.056 2.08 2.144 2.213 2.281 2.314 2.299 2.252 2.248 2.255 2.269 2.236 2.253 2.231 2.215 2.203 2.188 2.168 2.134 2.096 2.044 1.984 1.918 1.847 1.79 1.716 1.638 1.574 1.509 1.448 1.40 1.366 1.287 1.225 1.158 1.084 1.003 0.913 0.831 0.733 0.664 0.61 0.476 0.353 0.283 0.252 0.219 0.00 0.044 0.044 0.042 0.042 0.048 0.086 0.154 0.582 1.226 1.663 2.012 1.878 1.664 1.597 1.628 1.726 1.905 2.086 2.23 2.354 2.421 2.46 2.432 2.38 2.324 2.321 2.344 2.425 2.517 2.604 2.634 2.587 2.505 2.474 2.471 2.469 2.392 2.392 2.356 2.328 2.305 2.279 2.245 2.196 2.143 2.076 2.002 1.923 1.841 1.772 1.693 1.611 1.546 1.481 1.423 1.375 1.34 1.266 1.204 1.136 1.063 0.98 0.889 0.804 0.708 0.639 0.58 0.455 0.336 0.264 0.232 0.203 0.00 0.044 0.044 0.041 0.041 0.049 0.094 0.173 0.722 1.549 2.112 2.544 2.337 2.015 1.899 1.903 1.994 2.181 2.391 2.577 2.722 2.804 2.836 2.778 2.691 2.605 2.586 2.608 2.705 2.821 2.927 2.954 2.875 2.758 2.701 2.686 2.669 2.549 2.531 2.481 2.44 2.407 2.369 2.321 2.258 2.191 2.109 2.02 1.928 1.834 1.755 1.669 1.584 1.517 1.453 1.397 1.35 1.313 1.244 1.182 1.113 1.041 0.957 0.865 0.777 0.683 0.614 0.55 0.433 0.319 0.245 0.213 0.187 0.00 0.044 0.044 0.041 0.04 0.051 0.102 0.191 0.862 1.873 2.561 3.077 2.795 2.367 2.20 2.177 2.262 2.458 2.697 2.923 3.091 3.188 3.212 3.124 3.002 2.885 2.851 2.873 2.986 3.126 3.25 3.273 3.163 3.012 2.928 2.901 2.869 2.706 2.671 2.605 2.552 2.51 2.46 2.398 2.32 2.238 2.141 2.038 1.933 1.828 1.738 1.646 1.557 1.489 1.425 1.372 1.325 1.287 1.222 1.16 1.091 1.019 0.934 0.84 0.75 0.657 0.588 0.52 0.411 0.303 0.226 0.193 0.171 0.00 0.044 0.044 0.04 0.039 0.052 0.11 0.21 1.001 2.196 3.009 3.609 3.253 2.718 2.502 2.452 2.53 2.734 3.003 3.27 3.46 3.571 3.588 3.47 3.313 3.166 3.117 3.137 3.267 3.43 3.573 3.593 3.451 3.265 3.154 3.116 3.069 2.863 2.81 2.73 2.665 2.612 2.55 2.474 2.382 2.286 2.173 2.056 1.938 1.821 1.72 1.622 1.53 1.46 1.397 1.346 1.30 1.26 1.201 1.138 1.068 0.997 0.911 0.816 0.723 0.632 0.563 0.49 0.39 0.286 0.207 0.174 0.155 0.00 0.044 0.044 0.039 0.038 0.053 0.118 0.229 1.141 2.519 3.458 4.141 3.712 3.07 2.804 2.727 2.798 3.01 3.309 3.617 3.829 3.955 3.964 3.817 3.625 3.447 3.382 3.401 3.548 3.734 3.895 3.913 3.739 3.518 3.381 3.332 3.269 3.019 2.949 2.855 2.777 2.714 2.641 2.551 2.444 2.333 2.206 2.074 1.943 1.815 1.703 1.599 1.503 1.432 1.369 1.321 1.275 1.234 1.179 1.117 1.046 0.976 0.888 0.792 0.696 0.607 0.538 0.46 0.368 0.269 0.188 0.154 0.138 0.00 0.044 0.044 0.039 0.037 0.055 0.126 0.248 1.28 2.843 3.906 4.674 4.17 3.421 3.105 3.002 3.066 3.287 3.615 3.963 4.197 4.338 4.34 4.163 3.936 3.728 3.647 3.665 3.828 4.038 4.218 4.232 4.027 3.771 3.607 3.547 3.469 3.176 3.088 2.979 2.89 2.816 2.731 2.627 2.506 2.381 2.238 2.092 1.948 1.808 1.685 1.575 1.476 1.403 1.341 1.295 1.25 1.207 1.158 1.095 1.023 0.954 0.865 0.768 0.669 0.581 0.513 0.43 0.347 0.252 0.169 0.135 0.122 0.00 0.044 0.044 0.038 0.037 0.056 0.134 0.267 1.42 3.166 4.355 5.206 4.629 3.773 3.407 3.277 3.334 3.563 3.921 4.31 4.566 4.722 4.716 4.509 4.247 4.009 3.913 3.929 4.109 4.342 4.541 4.552 4.315 4.024 3.834 3.762 3.67 3.333 3.227 3.104 3.002 2.918 2.822 2.704 2.569 2.428 2.271 2.11 1.953 1.802 1.668 1.552 1.45 1.375 1.314 1.27 1.226 1.181 1.136 1.073 1.001 0.932 0.842 0.744 0.642 0.556 0.488 0.40 0.325 0.235 0.15 0.115 0.106 0.00 0.044 0.044 0.039 0.043 0.076 0.172 0.427 1.848 3.606 5.149 6.184 5.763 5.133 4.909 4.81 4.842 5.069 5.693 6.313 6.743 7.091 7.183 7.158 7.541 7.562 7.477 7.946 8.114 8.191 8.218 8.248 7.983 7.547 7.313 7.056 7.106 6.685 6.421 6.052 5.857 5.595 5.361 5.106 4.79 4.455 4.098 3.735 3.381 3.034 2.717 2.427 2.168 1.954 1.78 1.643 1.532 1.436 1.351 1.258 1.159 1.062 0.945 0.824 0.701 0.593 0.504 0.407 0.329 0.24 0.153 0.112 0.104 0.00 0.044 0.044 0.039 0.05 0.096 0.211 0.587 2.276 4.045 5.942 7.162 6.898 6.494 6.411 6.343 6.351 6.575 7.466 8.316 8.919 9.46 9.65 9.806 10.835 11.115 11.042 11.963 12.119 12.04 11.895 11.945 11.65 11.071 10.792 10.35 10.542 10.037 9.615 8.999 8.711 8.272 7.90 7.508 7.012 6.481 5.925 5.361 4.808 4.266 3.766 3.301 2.886 2.533 2.246 2.017 1.838 1.691 1.567 1.443 1.317 1.193 1.049 0.904 0.761 0.63 0.52 0.414 0.334 0.246 0.155 0.11 0.103 0.00 0.044 0.044 0.04 0.057 0.115 0.25 0.746 2.704 4.485 6.736 8.141 8.032 7.854 7.913 7.876 7.86 8.08 9.239 10.32 11.096 11.829 12.118 12.455 14.129 14.668 14.607 15.98 16.124 15.889 15.573 15.641 15.318 14.594 14.271 13.644 13.978 13.39 12.809 11.947 11.566 10.949 10.44 9.91 9.234 8.508 7.752 6.986 6.236 5.499 4.816 4.176 3.604 3.111 2.712 2.39 2.144 1.946 1.782 1.628 1.476 1.323 1.152 0.984 0.82 0.666 0.537 0.422 0.338 0.251 0.158 0.107 0.101 0.00 0.044 0.044 0.041 0.063 0.135 0.288 0.906 3.132 4.925 7.529 9.119 9.167 9.215 9.415 9.409 9.369 9.586 11.011 12.323 13.272 14.198 14.585 15.103 17.423 18.221 18.172 19.997 20.129 19.738 19.25 19.337 18.985 18.118 17.75 16.938 17.414 16.742 16.003 14.895 14.42 13.626 12.979 12.312 11.455 10.535 9.579 8.611 7.664 6.731 5.865 5.05 4.322 3.69 3.178 2.764 2.451 2.201 1.998 1.813 1.634 1.453 1.256 1.064 0.88 0.703 0.553 0.429 0.343 0.256 0.161 0.104 0.099 0.00 0.044 0.044 0.041 0.07 0.155 0.327 1.066 3.561 5.364 8.323 10.097 10.302 10.575 10.917 10.942 10.878 11.092 12.784 14.326 15.449 16.568 17.052 17.752 20.716 21.774 21.736 24.014 24.134 23.587 22.927 23.034 22.653 21.641 21.228 20.231 20.851 20.094 19.198 17.842 17.275 16.303 15.518 14.715 13.677 12.561 11.406 10.237 9.092 7.963 6.914 5.925 5.041 4.269 3.644 3.137 2.757 2.457 2.213 1.998 1.792 1.584 1.359 1.143 0.939 0.74 0.569 0.436 0.347 0.262 0.164 0.102 0.098 0.00 0.044 0.044 0.042 0.077 0.175 0.366 1.226 3.989 5.804 9.116 11.075 11.436 11.936 12.419 12.475 12.387 12.598 14.556 16.329 17.625 18.937 19.519 20.40 24.01 25.327 25.301 28.031 28.139 27.436 26.604 26.73 26.32 25.165 24.707 23.525 24.287 23.446 22.392 20.79 20.129 18.98 18.058 17.117 15.899 14.588 13.233 11.862 10.519 9.195 7.963 6.799 5.759 4.848 4.111 3.511 3.063 2.712 2.428 2.183 1.95 1.714 1.462 1.223 0.998 0.777 0.585 0.443 0.352 0.267 0.166 0.099 0.096 0.00 0.044 0.044 0.043 0.083 0.194 0.405 1.385 4.417 6.244 9.91 12.054 12.571 13.296 13.921 14.008 13.895 14.103 16.329 18.333 19.802 21.306 21.987 23.049 27.304 28.88 28.866 32.048 32.144 31.285 30.281 30.426 29.988 28.688 28.186 26.819 27.723 26.799 25.586 23.738 22.984 21.657 20.597 19.519 18.121 16.615 15.06 13.487 11.947 10.428 9.013 7.674 6.477 5.426 4.577 3.884 3.369 2.967 2.644 2.368 2.108 1.844 1.566 1.303 1.058 0.813 0.601 0.451 0.356 0.272 0.169 0.096 0.094 0.00 0.044 0.044 0.043 0.09 0.214 0.443 1.545 4.845 6.683 10.703 13.032 13.705 14.657 15.423 15.541 15.404 15.609 18.102 20.336 21.978 23.675 24.454 25.697 30.598 32.433 32.431 36.065 36.149 35.134 33.958 34.123 33.655 32.212 31.665 30.113 31.159 30.151 28.78 26.685 25.838 24.334 23.137 21.921 20.342 18.641 16.887 15.113 13.375 11.66 10.062 8.548 7.195 6.005 5.043 4.258 3.676 3.222 2.859 2.553 2.266 1.975 1.669 1.383 1.117 0.85 0.617 0.458 0.361 0.278 0.172 0.094 0.093 0.00 0.044 0.044 0.044 0.097 0.234 0.482 1.705 5.273 7.123 11.497 14.01 14.84 16.017 16.925 17.074 16.913 17.115 19.875 22.339 24.155 26.044 26.922 28.346 33.892 35.986 35.996 40.082 40.154 38.983 37.636 37.819 37.323 35.735 35.144 33.407 34.596 33.503 31.974 29.633 28.693 27.011 25.676 24.323 22.564 20.668 18.714 16.738 14.803 12.892 11.111 9.423 7.914 6.584 5.509 4.631 3.982 3.477 3.075 2.738 2.425 2.105 1.773 1.463 1.177 0.887 0.634 0.465 0.365 0.283 0.175 0.091 0.091 0.00 0.044 0.044 0.044 0.101 0.253 0.564 2.349 6.024 8.791 13.646 16.328 17.471 18.95 20.113 20.42 20.66 21.763 25.345 28.313 30.336 32.382 34.257 36.75 42.111 44.919 46.346 49.527 49.957 48.489 47.058 47.094 45.703 44.362 42.981 40.618 42.015 40.646 38.618 35.726 34.146 31.991 30.251 28.563 26.456 24.162 21.81 19.456 17.148 14.877 12.669 10.594 8.804 7.274 6.039 5.023 4.265 3.691 3.242 2.868 2.511 2.158 1.792 1.461 1.171 0.884 0.635 0.475 0.378 0.292 0.182 0.092 0.091 0.00 0.044 0.044 0.044 0.105 0.272 0.645 2.993 6.775 10.459 15.795 18.646 20.103 21.884 23.301 23.767 24.408 26.411 30.815 34.286 36.517 38.719 41.592 45.154 50.329 53.851 56.697 58.973 59.761 57.996 56.481 56.368 54.082 52.989 50.818 47.829 49.434 47.789 45.263 41.819 39.60 36.971 34.827 32.802 30.349 27.655 24.907 22.174 19.494 16.863 14.227 11.766 9.695 7.964 6.57 5.416 4.547 3.905 3.41 2.999 2.598 2.21 1.812 1.459 1.166 0.88 0.637 0.484 0.39 0.302 0.19 0.094 0.091 0.00 0.044 0.044 0.044 0.109 0.291 0.727 3.637 7.526 12.127 17.944 20.964 22.734 24.817 26.489 27.113 28.155 31.06 36.285 40.26 42.699 45.057 48.927 53.557 58.548 62.784 67.047 68.418 69.564 67.502 65.904 65.643 62.462 61.617 58.654 55.04 56.854 54.932 51.908 47.911 45.053 41.951 39.402 37.042 34.241 31.149 28.003 24.893 21.839 18.848 15.785 12.937 10.585 8.655 7.10 5.808 4.83 4.119 3.578 3.129 2.685 2.263 1.832 1.457 1.16 0.877 0.639 0.494 0.403 0.311 0.197 0.095 0.091 0.00 0.044 0.044 0.044 0.114 0.31 0.808 4.281 8.276 13.795 20.093 23.282 25.365 27.75 29.677 30.459 31.902 35.708 41.755 46.233 48.88 51.395 56.262 61.961 66.767 71.717 77.398 77.863 79.368 77.008 75.326 74.917 70.842 70.244 66.491 62.251 64.273 62.075 58.552 54.004 50.506 46.931 43.977 41.282 38.133 34.643 31.099 27.611 24.185 20.834 17.343 14.108 11.476 9.345 7.631 6.201 5.112 4.333 3.745 3.26 2.772 2.316 1.851 1.455 1.155 0.873 0.64 0.503 0.416 0.32 0.205 0.096 0.091 0.00 0.044 0.044 0.044 0.118 0.33 0.89 4.924 9.027 15.463 22.242 25.60 27.996 30.684 32.865 33.806 35.649 40.356 47.225 52.207 55.061 57.732 63.597 70.365 74.985 80.649 87.748 87.309 89.171 86.515 84.749 84.192 79.221 78.871 74.328 69.461 71.692 69.217 65.197 60.097 55.959 51.912 48.552 45.521 42.025 38.136 34.196 30.329 26.53 22.819 18.90 15.28 12.367 10.035 8.161 6.593 5.395 4.547 3.913 3.39 2.859 2.368 1.871 1.452 1.15 0.87 0.642 0.513 0.428 0.33 0.213 0.098 0.09 0.00 0.044 0.044 0.044 0.122 0.349 0.972 5.568 9.778 17.131 24.391 27.918 30.628 33.617 36.053 37.152 39.397 45.004 52.695 58.18 61.242 64.07 70.933 78.769 83.204 89.582 98.099 96.754 98.975 96.021 94.172 93.466 87.601 87.498 82.165 76.672 79.112 76.36 71.841 66.19 61.413 56.892 53.128 49.761 45.918 41.63 37.292 33.047 28.876 24.805 20.458 16.451 13.257 10.725 8.692 6.986 5.678 4.761 4.081 3.521 2.946 2.421 1.891 1.45 1.144 0.866 0.644 0.522 0.441 0.339 0.22 0.099 0.09 0.00 0.044 0.044 0.044 0.126 0.368 1.053 6.212 10.529 18.799 26.54 30.236 33.259 36.55 39.241 40.498 43.144 49.653 58.165 64.154 67.424 70.408 78.268 87.173 91.423 98.515 108.449 106.199 108.778 105.527 103.595 102.741 95.981 96.126 90.002 83.883 86.531 83.503 78.486 72.282 66.866 61.872 57.703 54.001 49.81 45.124 40.388 35.766 31.221 26.79 22.016 17.622 14.148 11.416 9.222 7.378 5.96 4.975 4.249 3.651 3.033 2.474 1.91 1.448 1.139 0.863 0.646 0.532 0.454 0.348 0.228 0.10 0.09 0.00 0.044 0.044 0.044 0.131 0.387 1.135 6.856 11.28 20.467 28.689 32.554 35.89 39.484 42.429 43.845 46.891 54.301 63.635 70.127 73.605 76.745 85.603 95.576 99.641 107.447 118.80 115.645 118.582 115.034 113.017 112.015 104.36 104.753 97.838 91.094 93.951 90.646 85.13 78.375 72.319 66.852 62.278 58.24 53.702 48.617 43.485 38.484 33.567 28.776 23.574 18.794 15.038 12.106 9.753 7.771 6.243 5.189 4.416 3.782 3.12 2.526 1.93 1.446 1.133 0.859 0.647 0.541 0.466 0.358 0.235 0.102 0.09 0.00 0.044 0.044 0.044 0.135 0.406 1.217 7.50 12.031 22.135 30.838 34.872 38.522 42.417 45.618 47.191 50.639 58.949 69.105 76.101 79.786 83.083 92.938 103.98 107.86 116.38 129.15 125.09 128.385 124.54 122.44 121.29 112.74 113.38 105.675 98.305 101.37 97.789 91.775 84.468 77.773 71.832 66.854 62.48 57.595 52.111 46.581 41.202 35.913 30.761 25.132 19.965 15.929 12.796 10.283 8.163 6.526 5.403 4.584 3.912 3.207 2.579 1.95 1.444 1.128 0.856 0.649 0.551 0.479 0.367 0.243 0.103 0.09 0.00 0.044 0.045 0.046 0.145 0.434 1.273 7.703 12.607 23.193 32.115 36.371 40.368 44.72 48.326 50.038 53.559 62.11 72.49 79.925 83.967 87.539 97.433 108.457 113.304 122.248 134.977 131.42 134.794 130.912 128.514 127.28 118.614 118.87 111.233 103.409 106.357 102.675 96.603 89.128 81.981 75.725 70.484 65.782 60.221 54.024 48.062 42.303 36.462 31.014 25.315 19.903 15.736 12.632 10.127 8.065 6.465 5.393 4.626 3.99 3.288 2.64 1.965 1.452 1.134 0.862 0.657 0.565 0.512 0.411 0.258 0.101 0.091 0.00 0.044 0.045 0.047 0.155 0.462 1.329 7.906 13.183 24.251 33.393 37.87 42.214 47.023 51.035 52.885 56.48 65.271 75.875 83.75 88.148 91.996 101.927 112.933 118.749 128.116 140.803 137.75 141.204 137.284 134.588 133.27 124.488 124.36 116.791 108.513 111.343 107.56 101.431 93.788 86.189 79.618 74.115 69.084 62.847 55.936 49.542 43.404 37.012 31.267 25.497 19.841 15.542 12.467 9.971 7.966 6.404 5.383 4.668 4.068 3.37 2.701 1.98 1.46 1.14 0.869 0.664 0.58 0.545 0.455 0.273 0.099 0.092 0.00 0.044 0.046 0.049 0.165 0.49 1.386 8.11 13.76 25.308 34.67 39.369 44.06 49.326 53.743 55.732 59.401 68.432 79.261 87.574 92.329 96.452 106.422 117.41 124.193 133.983 146.63 144.08 147.613 143.657 140.662 139.26 130.362 129.85 122.348 113.617 116.33 112.446 106.26 98.449 90.397 83.511 77.745 72.387 65.473 57.849 51.023 44.506 37.562 31.52 25.68 19.778 15.349 12.303 9.816 7.868 6.343 5.374 4.71 4.146 3.451 2.761 1.995 1.468 1.146 0.875 0.672 0.594 0.578 0.498 0.288 0.096 0.094 0.00 0.044 0.046 0.051 0.175 0.518 1.442 8.313 14.336 26.366 35.948 40.868 45.906 51.629 56.452 58.579 62.322 71.593 82.646 91.398 96.51 100.908 110.917 121.887 129.638 139.851 152.457 150.41 154.023 150.029 146.736 145.25 136.236 135.34 127.906 118.721 121.317 117.332 111.088 103.109 94.605 87.404 81.376 75.689 68.099 59.762 52.504 45.607 38.112 31.773 25.862 19.716 15.155 12.139 9.66 7.769 6.282 5.364 4.752 4.224 3.533 2.822 2.01 1.476 1.152 0.882 0.68 0.608 0.611 0.542 0.303 0.094 0.095 0.00 0.044 0.047 0.052 0.185 0.546 1.499 8.516 14.913 27.424 37.225 42.366 47.752 53.932 59.16 61.427 65.243 74.755 86.031 95.223 100.691 105.365 115.411 126.363 135.082 145.719 158.283 156.74 160.432 156.401 152.809 151.24 142.109 140.83 133.464 123.824 126.303 122.217 115.916 107.769 98.813 91.298 85.006 78.991 70.725 61.674 53.984 46.708 38.662 32.026 26.045 19.654 14.962 11.974 9.504 7.671 6.221 5.354 4.793 4.303 3.614 2.883 2.025 1.483 1.158 0.888 0.688 0.623 0.644 0.586 0.317 0.092 0.096 0.00 0.044 0.047 0.054 0.195 0.574 1.555 8.719 15.489 28.482 38.503 43.865 49.598 56.235 61.869 64.274 68.164 77.916 89.416 99.047 104.872 109.821 119.906 130.84 140.527 151.587 164.11 163.07 166.842 162.773 158.883 157.23 147.983 146.32 139.022 128.928 131.29 127.103 120.745 112.429 103.021 95.191 88.637 82.293 73.351 63.587 55.465 47.809 39.212 32.279 26.227 19.592 14.768 11.81 9.348 7.572 6.16 5.344 4.835 4.381 3.695 2.944 2.04 1.491 1.164 0.895 0.695 0.637 0.677 0.63 0.332 0.09 0.097 0.00 0.044 0.048 0.056 0.205 0.602 1.612 8.923 16.066 29.539 39.78 45.364 51.444 58.538 64.577 67.121 71.085 81.077 92.801 102.871 109.053 114.277 124.401 135.317 145.971 157.454 169.937 169.40 173.251 169.146 164.957 163.22 153.857 151.81 144.579 134.032 136.277 131.989 125.573 117.09 107.229 99.084 92.267 85.596 75.977 65.50 56.946 48.911 39.761 32.532 26.41 19.529 14.575 11.646 9.192 7.474 6.099 5.335 4.877 4.459 3.777 3.004 2.055 1.499 1.17 0.901 0.703 0.651 0.71 0.673 0.347 0.087 0.098 0.00 0.044 0.048 0.057 0.215 0.63 1.668 9.126 16.642 30.597 41.058 46.863 53.29 60.841 67.286 69.968 74.006 84.238 96.186 106.696 113.234 118.734 128.895 139.793 151.416 163.322 175.763 175.73 179.661 175.518 171.031 169.21 159.731 157.30 150.137 139.136 141.263 136.874 130.402 121.75 111.437 102.977 95.898 88.898 78.603 67.412 58.426 50.012 40.311 32.785 26.592 19.467 14.381 11.481 9.036 7.375 6.038 5.325 4.919 4.537 3.858 3.065 2.07 1.507 1.176 0.908 0.711 0.666 0.743 0.717 0.362 0.085 0.099 0.00 0.044 0.049 0.059 0.225 0.658 1.725 9.329 17.219 31.655 42.335 48.362 55.136 63.144 69.994 72.815 76.927 87.399 99.572 110.52 117.415 123.19 133.39 144.27 156.86 169.19 181.59 182.06 186.07 181.89 177.105 175.20 165.605 162.79 155.695 144.24 146.25 141.76 135.23 126.41 115.645 106.87 99.529 92.20 81.229 69.325 59.907 51.113 40.861 33.038 26.775 19.405 14.188 11.317 8.881 7.277 5.977 5.315 4.961 4.615 3.94 3.126 2.086 1.515 1.183 0.914 0.719 0.68 0.776 0.761 0.377 0.083 0.101 0.00 0.044 0.048 0.057 0.221 0.656 1.736 9.165 17.339 31.523 42.523 48.709 55.127 62.776 69.24 71.887 75.86 85.99 97.722 108.22 114.847 120.582 130.401 140.452 152.867 164.821 176.467 176.989 180.848 176.953 172.50 170.381 161.402 158.901 151.894 141.068 143.193 138.729 132.557 124.131 113.79 105.384 98.241 91.152 80.729 69.40 60.259 51.663 41.799 34.063 27.745 20.525 15.307 12.257 9.684 7.919 6.524 5.754 5.308 4.889 4.195 3.379 2.354 1.761 1.386 1.065 0.823 0.74 0.795 0.769 0.395 0.083 0.098 0.00 0.044 0.048 0.056 0.218 0.654 1.748 9.001 17.459 31.391 42.711 49.057 55.118 62.408 68.486 70.959 74.793 84.582 95.873 105.92 112.278 117.975 127.412 136.634 148.873 160.452 171.343 171.918 175.626 172.017 167.895 165.562 157.199 155.012 148.094 137.896 140.137 135.698 129.883 121.852 111.936 103.898 96.954 90.105 80.23 69.476 60.611 52.212 42.736 35.089 28.715 21.646 16.426 13.198 10.488 8.561 7.072 6.192 5.656 5.162 4.45 3.632 2.623 2.008 1.59 1.217 0.927 0.80 0.815 0.777 0.413 0.083 0.095 0.00 0.044 0.047 0.054 0.215 0.653 1.76 8.837 17.579 31.259 42.899 49.404 55.109 62.04 67.732 70.031 73.726 83.173 94.024 103.62 109.71 115.367 124.423 132.817 144.88 156.083 166.22 166.847 170.403 167.08 163.29 160.743 152.997 151.123 144.293 134.723 137.08 132.667 127.21 119.573 110.081 102.412 95.667 89.057 79.73 69.551 60.963 52.762 43.674 36.114 29.685 22.766 17.545 14.138 11.291 9.204 7.62 6.631 6.003 5.436 4.705 3.885 2.892 2.254 1.793 1.368 1.031 0.859 0.835 0.785 0.431 0.084 0.092 0.00 0.044 0.047 0.052 0.211 0.651 1.772 8.673 17.699 31.127 43.087 49.752 55.10 61.672 66.978 69.103 72.659 81.764 92.175 101.32 107.142 112.759 121.434 128.999 140.887 151.714 161.097 161.776 165.181 162.143 158.685 155.924 148.794 147.234 140.493 131.551 134.023 129.636 124.537 117.294 108.226 100.926 94.379 88.01 79.231 69.627 61.315 53.311 44.611 37.14 30.655 23.887 18.664 15.079 12.095 9.846 8.168 7.069 6.35 5.71 4.96 4.138 3.16 2.50 1.997 1.52 1.135 0.919 0.855 0.793 0.449 0.084 0.089 0.00 0.044 0.046 0.051 0.208 0.649 1.784 8.51 17.819 30.994 43.274 50.099 55.09 61.304 66.225 68.174 71.592 80.356 90.325 99.02 104.573 110.152 118.446 125.181 136.893 147.346 155.973 156.704 159.959 157.207 154.08 151.106 144.591 143.346 136.692 128.379 130.967 126.604 121.863 115.016 106.372 99.439 93.092 86.962 78.731 69.702 61.667 53.861 45.549 38.165 31.625 25.007 19.784 16.019 12.898 10.488 8.715 7.508 6.697 5.983 5.215 4.39 3.429 2.747 2.201 1.671 1.239 0.979 0.875 0.802 0.467 0.084 0.086 0.00 0.044 0.046 0.049 0.205 0.647 1.796 8.346 17.94 30.862 43.462 50.447 55.081 60.936 65.471 67.246 70.525 78.947 88.476 96.72 102.005 107.544 115.457 121.363 132.90 142.977 150.85 151.633 154.737 152.27 149.475 146.287 140.388 139.457 132.892 125.207 127.91 123.573 119.19 112.737 104.517 97.953 91.805 85.915 78.232 69.778 62.019 54.41 46.487 39.191 32.596 26.128 20.903 16.96 13.702 11.13 9.263 7.946 7.045 6.257 5.47 4.643 3.698 2.993 2.404 1.823 1.343 1.039 0.895 0.81 0.485 0.084 0.084 0.00 0.044 0.045 0.047 0.202 0.646 1.808 8.182 18.06 30.73 43.65 50.794 55.072 60.568 64.717 66.318 69.458 77.538 86.627 94.42 99.437 104.936 112.468 117.546 128.907 138.608 145.727 146.562 149.514 147.333 144.87 141.468 136.186 135.568 129.091 122.034 124.853 120.542 116.517 110.458 102.662 96.467 90.518 84.867 77.732 69.853 62.371 54.96 47.424 40.216 33.566 27.248 22.022 17.90 14.505 11.773 9.811 8.385 7.392 6.531 5.725 4.896 3.967 3.239 2.608 1.974 1.447 1.098 0.915 0.818 0.503 0.085 0.081 0.00 0.044 0.045 0.046 0.198 0.644 1.82 8.018 18.18 30.598 43.838 51.142 55.063 60.20 63.963 65.39 68.391 76.13 84.778 92.12 96.868 102.329 109.479 113.728 124.913 134.239 140.603 141.491 144.292 142.397 140.265 136.649 131.983 131.679 125.291 118.862 121.797 117.511 113.843 108.179 100.808 94.981 89.23 83.82 77.233 69.929 62.723 55.509 48.362 41.242 34.536 28.369 23.141 18.841 15.309 12.415 10.359 8.823 7.739 6.804 5.98 5.149 4.235 3.486 2.811 2.126 1.551 1.158 0.935 0.826 0.521 0.085 0.078 0.00 0.044 0.044 0.044 0.195 0.642 1.832 7.854 18.30 30.466 44.026 51.489 55.054 59.832 63.209 64.462 67.325 74.721 82.929 89.82 94.30 99.721 106.49 109.91 120.92 129.87 135.48 136.42 139.07 137.46 135.66 131.83 127.78 127.79 121.49 115.69 118.74 114.48 111.17 105.90 98.953 93.495 87.943 82.772 76.734 70.004 63.075 56.059 49.30 42.267 35.506 29.489 24.261 19.781 16.112 13.057 10.907 9.262 8.087 7.078 6.235 5.402 4.504 3.732 3.015 2.277 1.655 1.218 0.955 0.834 0.539 0.085 0.075 0.00 0.044 0.044 0.044 0.203 0.663 1.858 8.267 18.623 31.802 45.223 53.264 57.148 61.85 65.497 66.851 70.095 77.99 87.139 94.114 99.015 104.538 112.143 116.431 127.003 136.529 143.11 143.292 146.151 144.119 142.436 138.544 133.687 134.053 126.906 120.763 124.121 119.10 115.768 110.047 102.538 96.789 90.956 85.585 79.28 72.284 65.07 57.799 50.78 43.563 36.654 30.476 25.086 20.447 16.649 13.512 11.31 9.638 8.44 7.429 6.571 5.716 4.788 3.971 3.206 2.411 1.743 1.275 0.99 0.867 0.556 0.089 0.079 0.00 0.044 0.044 0.044 0.211 0.684 1.883 8.68 18.946 33.138 46.42 55.038 59.242 63.868 67.785 69.239 72.866 81.259 91.35 98.409 103.73 109.354 117.796 122.952 133.087 143.188 150.74 150.164 153.231 150.778 149.212 145.259 139.594 140.317 132.322 125.837 129.502 123.72 120.366 114.193 106.122 100.083 93.969 88.398 81.827 74.563 67.065 59.538 52.26 44.858 37.803 31.463 25.911 21.113 17.186 13.967 11.713 10.014 8.793 7.78 6.906 6.029 5.073 4.21 3.398 2.545 1.832 1.332 1.024 0.901 0.574 0.092 0.083 0.00 0.044 0.044 0.044 0.219 0.704 1.909 9.093 19.269 34.473 47.617 56.813 61.336 65.886 70.073 71.628 75.637 84.527 95.561 102.703 108.445 114.171 123.448 129.473 139.17 149.847 158.37 157.037 160.312 157.437 155.988 151.973 145.502 146.58 137.738 130.91 134.883 128.34 124.963 118.34 109.707 103.377 96.982 91.211 84.374 76.843 69.06 61.278 53.741 46.154 38.951 32.45 26.736 21.779 17.723 14.422 12.116 10.391 9.146 8.131 7.242 6.343 5.357 4.449 3.589 2.679 1.92 1.39 1.059 0.934 0.591 0.096 0.087 0.00 0.044 0.044 0.044 0.226 0.725 1.934 9.506 19.592 35.809 48.814 58.588 63.43 67.904 72.361 74.016 78.407 87.796 99.771 106.998 113.16 118.987 129.101 135.994 145.253 156.506 166.00 163.909 167.392 164.096 162.764 158.688 151.409 152.843 143.154 135.983 140.264 132.96 129.561 122.487 113.292 106.671 99.995 94.024 86.921 79.122 71.055 63.018 55.221 47.449 40.10 33.437 27.561 22.445 18.26 14.877 12.519 10.767 9.499 8.482 7.577 6.657 5.642 4.688 3.781 2.813 2.009 1.447 1.093 0.968 0.608 0.099 0.091 0.00 0.044 0.044 0.044 0.234 0.746 1.96 9.918 19.916 37.145 50.011 60.362 65.523 69.923 74.649 76.405 81.178 91.065 103.982 111.292 117.875 123.804 134.754 142.516 151.337 163.164 173.63 170.781 174.473 170.754 169.541 165.402 157.316 159.107 148.571 141.057 145.646 137.58 134.159 126.633 116.876 109.964 103.008 96.838 89.468 81.402 73.05 64.757 56.701 48.745 41.248 34.425 28.386 23.11 18.797 15.331 12.922 11.143 9.853 8.832 7.913 6.97 5.926 4.928 3.972 2.946 2.097 1.504 1.128 1.001 0.626 0.103 0.094 0.00 0.044 0.044 0.044 0.242 0.767 1.985 10.331 20.239 38.481 51.208 62.137 67.617 71.941 76.937 78.793 83.949 94.334 108.193 115.587 122.59 128.62 140.407 149.037 157.42 169.823 181.26 177.653 181.553 177.413 176.317 172.117 163.223 165.37 153.987 146.13 151.027 142.20 138.757 130.78 120.461 113.258 106.021 99.651 92.015 83.681 75.045 66.497 58.182 50.04 42.396 35.412 29.211 23.776 19.334 15.786 13.325 11.519 10.206 9.183 8.248 7.284 6.211 5.167 4.164 3.08 2.186 1.561 1.162 1.035 0.643 0.106 0.098 0.00 0.044 0.044 0.044 0.25 0.787 2.011 10.744 20.562 39.816 52.405 63.912 69.711 73.959 79.225 81.182 86.719 97.602 112.404 119.881 127.305 133.437 146.059 155.558 163.503 176.482 188.89 184.526 188.634 184.072 183.093 178.831 169.131 171.633 159.403 151.203 156.408 146.82 143.354 134.927 124.046 116.552 109.034 102.464 94.561 85.961 77.04 68.237 59.662 51.336 43.545 36.399 30.036 24.442 19.871 16.241 13.728 11.896 10.559 9.534 8.584 7.598 6.495 5.406 4.355 3.214 2.274 1.619 1.197 1.068 0.66 0.11 0.102 0.00 0.044 0.044 0.044 0.258 0.808 2.036 11.157 20.885 41.152 53.602 65.686 71.805 75.977 81.513 83.57 89.49 100.871 116.614 124.176 132.02 138.253 151.712 162.079 169.587 183.141 196.52 191.398 195.714 190.731 189.869 185.546 175.038 177.897 164.819 156.277 161.789 151.44 147.952 139.073 127.63 119.846 112.047 105.277 97.108 88.24 79.035 69.976 61.142 52.631 44.693 37.386 30.861 25.108 20.408 16.696 14.131 12.272 10.912 9.885 8.919 7.911 6.78 5.645 4.547 3.348 2.363 1.676 1.231 1.102 0.678 0.113 0.106 0.00 0.044 0.044 0.044 0.266 0.829 2.062 11.57 21.208 42.488 54.799 67.461 73.899 77.995 83.802 85.959 92.261 104.14 120.825 128.47 136.735 143.07 157.365 168.60 175.67 189.80 204.15 198.27 202.795 197.39 196.645 192.26 180.945 184.16 170.235 161.35 167.17 156.06 152.55 143.22 131.215 123.14 115.06 108.09 99.655 90.52 81.03 71.716 62.623 53.927 45.842 38.373 31.686 25.774 20.945 17.151 14.534 12.648 11.266 10.236 9.255 8.225 7.064 5.884 4.738 3.482 2.451 1.733 1.266 1.135 0.695 0.117 0.11 0.00