Engineering Tables/Chi-Squared Distibution

From Wikibooks, open books for an open world
< Engineering Tables
Jump to: navigation, search
Table of values of χ2 in a Chi-Squared Distribution with k degrees of freedom such that p is the area between χ2 and +∞ Chi-Squared Distribution Diagram.svg
k Probability Content, p, between χ2 and +∞
0.995 0.99 0.975 0.95 0.9 0.75 0.5 0.25 0.1 0.05 0.025 0.01 0.005 0.002 0.001
1 3.927e-5 1.570e-4 9.820e-4 0.00393 0.0157 0.102 0.455 1.323 2.706 3.841 5.024 6.635 7.879 9.550 10.828
2 0.0100 0.0201 0.0506 0.103 0.211 0.575 1.386 2.773 4.605 5.991 7.378 9.210 10.597 12.429 13.816
3 0.0717 0.115 0.216 0.352 0.584 1.213 2.366 4.108 6.251 7.815 9.348 11.345 12.838 14.796 16.266
4 0.207 0.297 0.484 0.711 1.064 1.923 3.357 5.385 7.779 9.488 11.143 13.277 14.860 16.924 18.467
5 0.412 0.554 0.831 1.145 1.610 2.675 4.351 6.626 9.236 11.070 12.833 15.086 16.750 18.907 20.515
6 0.676 0.872 1.237 1.635 2.204 3.455 5.348 7.841 10.645 12.592 14.449 16.812 18.548 20.791 22.458
7 0.989 1.239 1.690 2.167 2.833 4.255 6.346 9.037 12.017 14.067 16.013 18.475 20.278 22.601 24.322
8 1.344 1.646 2.180 2.733 3.490 5.071 7.344 10.219 13.362 15.507 17.535 20.090 21.955 24.352 26.124
9 1.735 2.088 2.700 3.325 4.168 5.899 8.343 11.389 14.684 16.919 19.023 21.666 23.589 26.056 27.877
10 2.156 2.558 3.247 3.940 4.865 6.737 9.342 12.549 15.987 18.307 20.483 23.209 25.188 27.722 29.588
11 2.603 3.053 3.816 4.575 5.578 7.584 10.341 13.701 17.275 19.675 21.920 24.725 26.757 29.354 31.264
12 3.074 3.571 4.404 5.226 6.304 8.438 11.340 14.845 18.549 21.026 23.337 26.217 28.300 30.957 32.909
13 3.565 4.107 5.009 5.892 7.042 9.299 12.340 15.984 19.812 22.362 24.736 27.688 29.819 32.535 34.528
14 4.075 4.660 5.629 6.571 7.790 10.165 13.339 17.117 21.064 23.685 26.119 29.141 31.319 34.091 36.123
15 4.601 5.229 6.262 7.261 8.547 11.037 14.339 18.245 22.307 24.996 27.488 30.578 32.801 35.628 37.697
16 5.142 5.812 6.908 7.962 9.312 11.912 15.338 19.369 23.542 26.296 28.845 32.000 34.267 37.146 39.252
17 5.697 6.408 7.564 8.672 10.085 12.792 16.338 20.489 24.769 27.587 30.191 33.409 35.718 38.648 40.790
18 6.265 7.015 8.231 9.390 10.865 13.675 17.338 21.605 25.989 28.869 31.526 34.805 37.156 40.136 42.312
19 6.844 7.633 8.907 10.117 11.651 14.562 18.338 22.718 27.204 30.144 32.852 36.191 38.582 41.610 43.820
20 7.434 8.260 9.591 10.851 12.443 15.452 19.337 23.828 28.412 31.410 34.170 37.566 39.997 43.072 45.315
21 8.034 8.897 10.283 11.591 13.240 16.344 20.337 24.935 29.615 32.671 35.479 38.932 41.401 44.522 46.797
22 8.643 9.542 10.982 12.338 14.041 17.240 21.337 26.039 30.813 33.924 36.781 40.289 42.796 45.962 48.268
23 9.260 10.196 11.689 13.091 14.848 18.137 22.337 27.141 32.007 35.172 38.076 41.638 44.181 47.391 49.728
24 9.886 10.856 12.401 13.848 15.659 19.037 23.337 28.241 33.196 36.415 39.364 42.980 45.559 48.812 51.179
25 10.520 11.524 13.120 14.611 16.473 19.939 24.337 29.339 34.382 37.652 40.646 44.314 46.928 50.223 52.620
26 11.160 12.198 13.844 15.379 17.292 20.843 25.336 30.435 35.563 38.885 41.923 45.642 48.290 51.627 54.052
27 11.808 12.879 14.573 16.151 18.114 21.749 26.336 31.528 36.741 40.113 43.195 46.963 49.645 53.023 55.476
28 12.461 13.565 15.308 16.928 18.939 22.657 27.336 32.620 37.916 41.337 44.461 48.278 50.993 54.411 56.892
29 13.121 14.256 16.047 17.708 19.768 23.567 28.336 33.711 39.087 42.557 45.722 49.588 52.336 55.792 58.301
30 13.787 14.953 16.791 18.493 20.599 24.478 29.336 34.800 40.256 43.773 46.979 50.892 53.672 57.167 59.703
31 14.458 15.655 17.539 19.281 21.434 25.390 30.336 35.887 41.422 44.985 48.232 52.191 55.003 58.536 61.098
32 15.134 16.362 18.291 20.072 22.271 26.304 31.336 36.973 42.585 46.194 49.480 53.486 56.328 59.899 62.487
33 15.815 17.074 19.047 20.867 23.110 27.219 32.336 38.058 43.745 47.400 50.725 54.776 57.648 61.256 63.870
34 16.501 17.789 19.806 21.664 23.952 28.136 33.336 39.141 44.903 48.602 51.966 56.061 58.964 62.608 65.247
35 17.192 18.509 20.569 22.465 24.797 29.054 34.336 40.223 46.059 49.802 53.203 57.342 60.275 63.955 66.619
36 17.887 19.233 21.336 23.269 25.643 29.973 35.336 41.304 47.212 50.998 54.437 58.619 61.581 65.296 67.985
37 18.586 19.960 22.106 24.075 26.492 30.893 36.336 42.383 48.363 52.192 55.668 59.893 62.883 66.633 69.346
38 19.289 20.691 22.878 24.884 27.343 31.815 37.335 43.462 49.513 53.384 56.896 61.162 64.181 67.966 70.703
39 19.996 21.426 23.654 25.695 28.196 32.737 38.335 44.539 50.660 54.572 58.120 62.428 65.476 69.294 72.055
40 20.707 22.164 24.433 26.509 29.051 33.660 39.335 45.616 51.805 55.758 59.342 63.691 66.766 70.618 73.402
41 21.421 22.906 25.215 27.326 29.907 34.585 40.335 46.692 52.949 56.942 60.561 64.950 68.053 71.938 74.745
42 22.138 23.650 25.999 28.144 30.765 35.510 41.335 47.766 54.090 58.124 61.777 66.206 69.336 73.254 76.084
43 22.859 24.398 26.785 28.965 31.625 36.436 42.335 48.840 55.230 59.304 62.990 67.459 70.616 74.566 77.419
44 23.584 25.148 27.575 29.787 32.487 37.363 43.335 49.913 56.369 60.481 64.201 68.710 71.893 75.874 78.750
45 24.311 25.901 28.366 30.612 33.350 38.291 44.335 50.985 57.505 61.656 65.410 69.957 73.166 77.179 80.077
46 25.041 26.657 29.160 31.439 34.215 39.220 45.335 52.056 58.641 62.830 66.617 71.201 74.437 78.481 81.400
47 25.775 27.416 29.956 32.268 35.081 40.149 46.335 53.127 59.774 64.001 67.821 72.443 75.704 79.780 82.720
48 26.511 28.177 30.755 33.098 35.949 41.079 47.335 54.196 60.907 65.171 69.023 73.683 76.969 81.075 84.037
49 27.249 28.941 31.555 33.930 36.818 42.010 48.335 55.265 62.038 66.339 70.222 74.919 78.231 82.367 85.351
50 27.991 29.707 32.357 34.764 37.689 42.942 49.335 56.334 63.167 67.505 71.420 76.154 79.490 83.657 86.661
51 28.735 30.475 33.162 35.600 38.560 43.874 50.335 57.401 64.295 68.669 72.616 77.386 80.747 84.943 87.968
52 29.481 31.246 33.968 36.437 39.433 44.808 51.335 58.468 65.422 69.832 73.810 78.616 82.001 86.227 89.272
53 30.230 32.018 34.776 37.276 40.308 45.741 52.335 59.534 66.548 70.993 75.002 79.843 83.253 87.507 90.573
54 30.981 32.793 35.586 38.116 41.183 46.676 53.335 60.600 67.673 72.153 76.192 81.069 84.502 88.786 91.872
55 31.735 33.570 36.398 38.958 42.060 47.610 54.335 61.665 68.796 73.311 77.380 82.292 85.749 90.061 93.168
56 32.490 34.350 37.212 39.801 42.937 48.546 55.335 62.729 69.919 74.468 78.567 83.513 86.994 91.335 94.461
57 33.248 35.131 38.027 40.646 43.816 49.482 56.335 63.793 71.040 75.624 79.752 84.733 88.236 92.605 95.751
58 34.008 35.913 38.844 41.492 44.696 50.419 57.335 64.857 72.160 76.778 80.936 85.950 89.477 93.874 97.039
59 34.770 36.698 39.662 42.339 45.577 51.356 58.335 65.919 73.279 77.931 82.117 87.166 90.715 95.140 98.324
60 35.534 37.485 40.482 43.188 46.459 52.294 59.335 66.981 74.397 79.082 83.298 88.379 91.952 96.404 99.607
61 36.301 38.273 41.303 44.038 47.342 53.232 60.335 68.043 75.514 80.232 84.476 89.591 93.186 97.665 100.888
62 37.068 39.063 42.126 44.889 48.226 54.171 61.335 69.104 76.630 81.381 85.654 90.802 94.419 98.925 102.166
63 37.838 39.855 42.950 45.741 49.111 55.110 62.335 70.165 77.745 82.529 86.830 92.010 95.649 100.182 103.442
64 38.610 40.649 43.776 46.595 49.996 56.050 63.335 71.225 78.860 83.675 88.004 93.217 96.878 101.437 104.716
65 39.383 41.444 44.603 47.450 50.883 56.990 64.335 72.285 79.973 84.821 89.177 94.422 98.105 102.691 105.988
66 40.158 42.240 45.431 48.305 51.770 57.931 65.335 73.344 81.085 85.965 90.349 95.626 99.330 103.942 107.258
67 40.935 43.038 46.261 49.162 52.659 58.872 66.335 74.403 82.197 87.108 91.519 96.828 100.554 105.192 108.526
68 41.713 43.838 47.092 50.020 53.548 59.814 67.335 75.461 83.308 88.250 92.689 98.028 101.776 106.440 109.791
69 42.494 44.639 47.924 50.879 54.438 60.756 68.334 76.519 84.418 89.391 93.856 99.228 102.996 107.685 111.055
70 43.275 45.442 48.758 51.739 55.329 61.698 69.334 77.577 85.527 90.531 95.023 100.425 104.215 108.929 112.317
71 44.058 46.246 49.592 52.600 56.221 62.641 70.334 78.634 86.635 91.670 96.189 101.621 105.432 110.172 113.577
72 44.843 47.051 50.428 53.462 57.113 63.585 71.334 79.690 87.743 92.808 97.353 102.816 106.648 111.412 114.835
73 45.629 47.858 51.265 54.325 58.006 64.528 72.334 80.747 88.850 93.945 98.516 104.010 107.862 112.651 116.092
74 46.417 48.666 52.103 55.189 58.900 65.472 73.334 81.803 89.956 95.081 99.678 105.202 109.074 113.889 117.346
75 47.206 49.475 52.942 56.054 59.795 66.417 74.334 82.858 91.061 96.217 100.839 106.393 110.286 115.125 118.599
76 47.997 50.286 53.782 56.920 60.690 67.362 75.334 83.913 92.166 97.351 101.999 107.583 111.495 116.359 119.850
77 48.788 51.097 54.623 57.786 61.586 68.307 76.334 84.968 93.270 98.484 103.158 108.771 112.704 117.591 121.100
78 49.582 51.910 55.466 58.654 62.483 69.252 77.334 86.022 94.374 99.617 104.316 109.958 113.911 118.823 122.348
79 50.376 52.725 56.309 59.522 63.380 70.198 78.334 87.077 95.476 100.749 105.473 111.144 115.117 120.052 123.594
80 51.172 53.540 57.153 60.391 64.278 71.145 79.334 88.130 96.578 101.879 106.629 112.329 116.321 121.280 124.839
81 51.969 54.357 57.998 61.261 65.176 72.091 80.334 89.184 97.680 103.010 107.783 113.512 117.524 122.507 126.083
82 52.767 55.174 58.845 62.132 66.076 73.038 81.334 90.237 98.780 104.139 108.937 114.695 118.726 123.733 127.324
83 53.567 55.993 59.692 63.004 66.976 73.985 82.334 91.289 99.880 105.267 110.090 115.876 119.927 124.957 128.565
84 54.368 56.813 60.540 63.876 67.876 74.933 83.334 92.342 100.980 106.395 111.242 117.057 121.126 126.179 129.804
85 55.170 57.634 61.389 64.749 68.777 75.881 84.334 93.394 102.079 107.522 112.393 118.236 122.325 127.401 131.041
86 55.973 58.456 62.239 65.623 69.679 76.829 85.334 94.446 103.177 108.648 113.544 119.414 123.522 128.621 132.277
87 56.777 59.279 63.089 66.498 70.581 77.777 86.334 95.497 104.275 109.773 114.693 120.591 124.718 129.840 133.512
88 57.582 60.103 63.941 67.373 71.484 78.726 87.334 96.548 105.372 110.898 115.841 121.767 125.913 131.057 134.745
89 58.389 60.928 64.793 68.249 72.387 79.675 88.334 97.599 106.469 112.022 116.989 122.942 127.106 132.273 135.978
90 59.196 61.754 65.647 69.126 73.291 80.625 89.334 98.650 107.565 113.145 118.136 124.116 128.299 133.489 137.208
91 60.005 62.581 66.501 70.003 74.196 81.574 90.334 99.700 108.661 114.268 119.282 125.289 129.491 134.702 138.438
92 60.815 63.409 67.356 70.882 75.100 82.524 91.334 100.750 109.756 115.390 120.427 126.462 130.681 135.915 139.666
93 61.625 64.238 68.211 71.760 76.006 83.474 92.334 101.800 110.850 116.511 121.571 127.633 131.871 137.127 140.893
94 62.437 65.068 69.068 72.640 76.912 84.425 93.334 102.850 111.944 117.632 122.715 128.803 133.059 138.337 142.119
95 63.250 65.898 69.925 73.520 77.818 85.376 94.334 103.899 113.038 118.752 123.858 129.973 134.247 139.546 143.344
96 64.063 66.730 70.783 74.401 78.725 86.327 95.334 104.948 114.131 119.871 125.000 131.141 135.433 140.755 144.567
97 64.878 67.562 71.642 75.282 79.633 87.278 96.334 105.997 115.223 120.990 126.141 132.309 136.619 141.962 145.789
98 65.694 68.396 72.501 76.164 80.541 88.229 97.334 107.045 116.315 122.108 127.282 133.476 137.803 143.168 147.010
99 66.510 69.230 73.361 77.046 81.449 89.181 98.334 108.093 117.407 123.225 128.422 134.642 138.987 144.373 148.230
100 67.328 70.065 74.222 77.929 82.358 90.133 99.334 109.141 118.498 124.342 129.561 135.807 140.169 145.577 149.449
101 68.146 70.901 75.083 78.813 83.267 91.085 100.334 110.189 119.589 125.458 130.700 136.971 141.351 146.780 150.667
102 68.965 71.737 75.946 79.697 84.177 92.038 101.334 111.236 120.679 126.574 131.838 138.134 142.532 147.982 151.884
103 69.785 72.575 76.809 80.582 85.088 92.991 102.334 112.284 121.769 127.689 132.975 139.297 143.712 149.183 153.099
104 70.606 73.413 77.672 81.468 85.998 93.944 103.334 113.331 122.858 128.804 134.111 140.459 144.891 150.383 154.314
105 71.428 74.252 78.536 82.354 86.909 94.897 104.334 114.378 123.947 129.918 135.247 141.620 146.070 151.582 155.528
106 72.251 75.092 79.401 83.240 87.821 95.850 105.334 115.424 125.035 131.031 136.382 142.780 147.247 152.780 156.740
107 73.075 75.932 80.267 84.127 88.733 96.804 106.334 116.471 126.123 132.144 137.517 143.940 148.424 153.977 157.952
108 73.899 76.774 81.133 85.015 89.645 97.758 107.334 117.517 127.211 133.257 138.651 145.099 149.599 155.173 159.162
109 74.724 77.616 82.000 85.903 90.558 98.712 108.334 118.563 128.298 134.369 139.784 146.257 150.774 156.369 160.372
110 75.550 78.458 82.867 86.792 91.471 99.666 109.334 119.608 129.385 135.480 140.917 147.414 151.948 157.563 161.581
111 76.377 79.302 83.735 87.681 92.385 100.620 110.334 120.654 130.472 136.591 142.049 148.571 153.122 158.757 162.788
112 77.204 80.146 84.604 88.570 93.299 101.575 111.334 121.699 131.558 137.701 143.180 149.727 154.294 159.950 163.995
113 78.033 80.991 85.473 89.461 94.213 102.530 112.334 122.744 132.643 138.811 144.311 150.882 155.466 161.141 165.201
114 78.862 81.836 86.342 90.351 95.128 103.485 113.334 123.789 133.729 139.921 145.441 152.037 156.637 162.332 166.406
115 79.692 82.682 87.213 91.242 96.043 104.440 114.334 124.834 134.813 141.030 146.571 153.191 157.808 163.523 167.610
116 80.522 83.529 88.084 92.134 96.958 105.396 115.334 125.878 135.898 142.138 147.700 154.344 158.977 164.712 168.813
117 81.353 84.377 88.955 93.026 97.874 106.352 116.334 126.923 136.982 143.246 148.829 155.496 160.146 165.900 170.016
118 82.185 85.225 89.827 93.918 98.790 107.307 117.334 127.967 138.066 144.354 149.957 156.648 161.314 167.088 171.217
119 83.018 86.074 90.700 94.811 99.707 108.263 118.334 129.011 139.149 145.461 151.084 157.800 162.481 168.275 172.418
120 83.852 86.923 91.573 95.705 100.624 109.220 119.334 130.055 140.233 146.567 152.211 158.950 163.648 169.461 173.617
121 84.686 87.773 92.446 96.598 101.541 110.176 120.334 131.098 141.315 147.674 153.338 160.100 164.814 170.647 174.816
122 85.520 88.624 93.320 97.493 102.458 111.133 121.334 132.142 142.398 148.779 154.464 161.250 165.980 171.831 176.014
123 86.356 89.475 94.195 98.387 103.376 112.089 122.334 133.185 143.480 149.885 155.589 162.398 167.144 173.015 177.212
124 87.192 90.327 95.070 99.283 104.295 113.046 123.334 134.228 144.562 150.989 156.714 163.546 168.308 174.198 178.408
125 88.029 91.180 95.946 100.178 105.213 114.004 124.334 135.271 145.643 152.094 157.839 164.694 169.471 175.380 179.604
126 88.866 92.033 96.822 101.074 106.132 114.961 125.334 136.313 146.724 153.198 158.962 165.841 170.634 176.562 180.799
127 89.704 92.887 97.698 101.971 107.051 115.918 126.334 137.356 147.805 154.302 160.086 166.987 171.796 177.743 181.993
128 90.543 93.741 98.576 102.867 107.971 116.876 127.334 138.398 148.885 155.405 161.209 168.133 172.957 178.923 183.186
129 91.382 94.596 99.453 103.765 108.891 117.834 128.334 139.440 149.965 156.508 162.331 169.278 174.118 180.103 184.379
130 92.222 95.451 100.331 104.662 109.811 118.792 129.334 140.482 151.045 157.610 163.453 170.423 175.278 181.282 185.571
131 93.063 96.307 101.210 105.560 110.732 119.750 130.334 141.524 152.125 158.712 164.575 171.567 176.438 182.460 186.762
132 93.904 97.163 102.089 106.459 111.652 120.708 131.334 142.566 153.204 159.814 165.696 172.711 177.597 183.637 187.953
133 94.746 98.020 102.968 107.357 112.573 121.667 132.334 143.608 154.283 160.915 166.816 173.854 178.755 184.814 189.142
134 95.588 98.878 103.848 108.257 113.495 122.625 133.334 144.649 155.361 162.016 167.936 174.996 179.913 185.990 190.331
135 96.431 99.736 104.729 109.156 114.417 123.584 134.334 145.690 156.440 163.116 169.056 176.138 181.070 187.165 191.520
136 97.275 100.595 105.609 110.056 115.338 124.543 135.334 146.731 157.518 164.216 170.175 177.280 182.226 188.340 192.707
137 98.119 101.454 106.491 110.956 116.261 125.502 136.334 147.772 158.595 165.316 171.294 178.421 183.382 189.514 193.894
138 98.964 102.314 107.372 111.857 117.183 126.461 137.334 148.813 159.673 166.415 172.412 179.561 184.538 190.688 195.080
139 99.809 103.174 108.254 112.758 118.106 127.421 138.334 149.854 160.750 167.514 173.530 180.701 185.693 191.861 196.266
140 100.655 104.034 109.137 113.659 119.029 128.380 139.334 150.894 161.827 168.613 174.648 181.840 186.847 193.033 197.451
141 101.501 104.896 110.020 114.561 119.953 129.340 140.334 151.934 162.904 169.711 175.765 182.979 188.001 194.205 198.635
142 102.348 105.757 110.903 115.463 120.876 130.299 141.334 152.975 163.980 170.809 176.882 184.118 189.154 195.376 199.819
143 103.196 106.619 111.787 116.366 121.800 131.259 142.334 154.015 165.056 171.907 177.998 185.256 190.306 196.546 201.002
144 104.044 107.482 112.671 117.268 122.724 132.219 143.334 155.055 166.132 173.004 179.114 186.393 191.458 197.716 202.184
145 104.892 108.345 113.556 118.171 123.649 133.180 144.334 156.094 167.207 174.101 180.229 187.530 192.610 198.885 203.366
146 105.741 109.209 114.441 119.075 124.574 134.140 145.334 157.134 168.283 175.198 181.344 188.666 193.761 200.054 204.547
147 106.591 110.073 115.326 119.979 125.499 135.101 146.334 158.174 169.358 176.294 182.459 189.802 194.912 201.222 205.727
148 107.441 110.937 116.212 120.883 126.424 136.061 147.334 159.213 170.432 177.390 183.573 190.938 196.062 202.390 206.907
149 108.291 111.802 117.098 121.787 127.349 137.022 148.334 160.252 171.507 178.485 184.687 192.073 197.211 203.557 208.086
150 109.142 112.668 117.985 122.692 128.275 137.983 149.334 161.291 172.581 179.581 185.800 193.208 198.360 204.723 209.265
151 109.994 113.533 118.871 123.597 129.201 138.944 150.334 162.330 173.655 180.676 186.914 194.342 199.509 205.889 210.443
152 110.846 114.400 119.759 124.502 130.127 139.905 151.334 163.369 174.729 181.770 188.026 195.476 200.657 207.054 211.620
153 111.698 115.266 120.646 125.408 131.054 140.866 152.334 164.408 175.803 182.865 189.139 196.609 201.804 208.219 212.797
154 112.551 116.134 121.534 126.314 131.980 141.828 153.334 165.446 176.876 183.959 190.251 197.742 202.951 209.383 213.973
155 113.405 117.001 122.423 127.220 132.907 142.789 154.334 166.485 177.949 185.052 191.362 198.874 204.098 210.547 215.149
156 114.259 117.869 123.312 128.127 133.835 143.751 155.334 167.523 179.022 186.146 192.474 200.006 205.244 211.710 216.324
157 115.113 118.738 124.201 129.034 134.762 144.713 156.334 168.561 180.094 187.239 193.584 201.138 206.390 212.873 217.499
158 115.968 119.607 125.090 129.941 135.690 145.675 157.334 169.599 181.167 188.332 194.695 202.269 207.535 214.035 218.673
159 116.823 120.476 125.980 130.848 136.618 146.637 158.334 170.637 182.239 189.424 195.805 203.400 208.680 215.197 219.846
160 117.679 121.346 126.870 131.756 137.546 147.599 159.334 171.675 183.311 190.516 196.915 204.530 209.824 216.358 221.019
161 118.536 122.216 127.761 132.664 138.474 148.561 160.334 172.713 184.382 191.608 198.025 205.660 210.968 217.518 222.191
162 119.392 123.086 128.651 133.572 139.403 149.523 161.334 173.751 185.454 192.700 199.134 206.790 212.111 218.678 223.363
163 120.249 123.957 129.543 134.481 140.331 150.486 162.334 174.788 186.525 193.791 200.243 207.919 213.254 219.838 224.535
164 121.107 124.828 130.434 135.390 141.260 151.449 163.334 175.825 187.596 194.883 201.351 209.047 214.396 220.997 225.705
165 121.965 125.700 131.326 136.299 142.190 152.411 164.334 176.863 188.667 195.973 202.459 210.176 215.539 222.156 226.876
166 122.823 126.572 132.218 137.209 143.119 153.374 165.334 177.900 189.737 197.064 203.567 211.304 216.680 223.314 228.045
167 123.682 127.445 133.111 138.118 144.049 154.337 166.334 178.937 190.808 198.154 204.675 212.431 217.821 224.472 229.215
168 124.541 128.318 134.003 139.028 144.979 155.300 167.334 179.974 191.878 199.244 205.782 213.558 218.962 225.629 230.383
169 125.401 129.191 134.897 139.939 145.909 156.263 168.334 181.011 192.948 200.334 206.889 214.685 220.102 226.786 231.552
170 126.261 130.064 135.790 140.849 146.839 157.227 169.334 182.047 194.017 201.423 207.995 215.812 221.242 227.942 232.719
171 127.122 130.938 136.684 141.760 147.769 158.190 170.334 183.084 195.087 202.513 209.102 216.938 222.382 229.098 233.887
172 127.983 131.813 137.578 142.671 148.700 159.154 171.334 184.120 196.156 203.602 210.208 218.063 223.521 230.253 235.053
173 128.844 132.687 138.472 143.582 149.631 160.117 172.334 185.157 197.225 204.690 211.313 219.189 224.660 231.408 236.220
174 129.706 133.563 139.367 144.494 150.562 161.081 173.334 186.193 198.294 205.779 212.419 220.314 225.798 232.563 237.385
175 130.568 134.438 140.262 145.406 151.493 162.045 174.334 187.229 199.363 206.867 213.524 221.438 226.936 233.717 238.551
176 131.430 135.314 141.157 146.318 152.425 163.009 175.334 188.265 200.432 207.955 214.628 222.563 228.074 234.870 239.716
177 132.293 136.190 142.053 147.230 153.356 163.973 176.334 189.301 201.500 209.042 215.733 223.687 229.211 236.023 240.880
178 133.157 137.066 142.949 148.143 154.288 164.937 177.334 190.337 202.568 210.130 216.837 224.810 230.347 237.176 242.044
179 134.020 137.943 143.845 149.056 155.220 165.901 178.334 191.373 203.636 211.217 217.941 225.933 231.484 238.328 243.207
180 134.884 138.820 144.741 149.969 156.153 166.865 179.334 192.409 204.704 212.304 219.044 227.056 232.620 239.480 244.370
181 135.749 139.698 145.638 150.882 157.085 167.830 180.334 193.444 205.771 213.391 220.148 228.179 233.755 240.632 245.533
182 136.614 140.576 146.535 151.796 158.018 168.794 181.334 194.480 206.839 214.477 221.251 229.301 234.891 241.783 246.695
183 137.479 141.454 147.432 152.709 158.951 169.759 182.334 195.515 207.906 215.563 222.353 230.423 236.026 242.933 247.857
184 138.344 142.332 148.330 153.623 159.883 170.724 183.334 196.550 208.973 216.649 223.456 231.544 237.160 244.084 249.018
185 139.210 143.211 149.228 154.538 160.817 171.688 184.334 197.586 210.040 217.735 224.558 232.665 238.294 245.234 250.179
186 140.077 144.090 150.126 155.452 161.750 172.653 185.334 198.621 211.106 218.820 225.660 233.786 239.428 246.383 251.339
187 140.943 144.970 151.024 156.367 162.684 173.618 186.334 199.656 212.173 219.906 226.761 234.907 240.561 247.532 252.499
188 141.810 145.850 151.923 157.282 163.617 174.583 187.334 200.690 213.239 220.991 227.863 236.027 241.694 248.681 253.659
189 142.678 146.730 152.822 158.197 164.551 175.549 188.334 201.725 214.305 222.076 228.964 237.147 242.827 249.829 254.818
190 143.545 147.610 153.721 159.113 165.485 176.514 189.334 202.760 215.371 223.160 230.064 238.266 243.959 250.977 255.976
191 144.413 148.491 154.621 160.028 166.419 177.479 190.334 203.795 216.437 224.245 231.165 239.386 245.091 252.124 257.135
192 145.282 149.372 155.521 160.944 167.354 178.445 191.334 204.829 217.502 225.329 232.265 240.505 246.223 253.271 258.292
193 146.150 150.254 156.421 161.860 168.288 179.410 192.334 205.864 218.568 226.413 233.365 241.623 247.354 254.418 259.450
194 147.020 151.135 157.321 162.776 169.223 180.376 193.334 206.898 219.633 227.496 234.465 242.742 248.485 255.564 260.607
195 147.889 152.017 158.221 163.693 170.158 181.342 194.334 207.932 220.698 228.580 235.564 243.860 249.616 256.710 261.763
196 148.759 152.900 159.122 164.610 171.093 182.308 195.334 208.966 221.763 229.663 236.664 244.977 250.746 257.855 262.920
197 149.629 153.782 160.023 165.527 172.029 183.273 196.334 210.000 222.828 230.746 237.763 246.095 251.876 259.001 264.075
198 150.499 154.665 160.925 166.444 172.964 184.239 197.334 211.034 223.892 231.829 238.861 247.212 253.006 260.145 265.231
199 151.370 155.548 161.826 167.361 173.900 185.205 198.334 212.068 224.957 232.912 239.960 248.329 254.135 261.290 266.386
200 152.241 156.432 162.728 168.279 174.835 186.172 199.334 213.102 226.021 233.994 241.058 249.445 255.264 262.434 267.541
201 153.112 157.316 163.630 169.196 175.771 187.138 200.334 214.136 227.085 235.077 242.156 250.561 256.393 263.578 268.695
202 153.984 158.200 164.532 170.114 176.707 188.104 201.334 215.170 228.149 236.159 243.254 251.677 257.521 264.721 269.849
203 154.856 159.084 165.435 171.032 177.643 189.071 202.334 216.203 229.213 237.240 244.351 252.793 258.649 265.864 271.002
204 155.728 159.969 166.338 171.951 178.580 190.037 203.334 217.237 230.276 238.322 245.448 253.908 259.777 267.007 272.155
205 156.601 160.854 167.241 172.869 179.516 191.004 204.334 218.270 231.340 239.403 246.545 255.023 260.904 268.149 273.308
206 157.474 161.739 168.144 173.788 180.453 191.970 205.334 219.303 232.403 240.485 247.642 256.138 262.031 269.291 274.460
207 158.347 162.624 169.047 174.707 181.390 192.937 206.334 220.337 233.466 241.566 248.739 257.253 263.158 270.432 275.612
208 159.221 163.510 169.951 175.626 182.327 193.904 207.334 221.370 234.529 242.647 249.835 258.367 264.285 271.574 276.764
209 160.095 164.396 170.855 176.546 183.264 194.871 208.334 222.403 235.592 243.727 250.931 259.481 265.411 272.715 277.915
210 160.969 165.283 171.759 177.465 184.201 195.838 209.334 223.436 236.655 244.808 252.027 260.595 266.537 273.855 279.066
211 161.843 166.169 172.664 178.385 185.139 196.805 210.334 224.469 237.717 245.888 253.122 261.708 267.662 274.995 280.217
212 162.718 167.056 173.568 179.305 186.076 197.772 211.334 225.502 238.780 246.968 254.218 262.821 268.788 276.135 281.367
213 163.593 167.943 174.473 180.225 187.014 198.739 212.334 226.534 239.842 248.048 255.313 263.934 269.912 277.275 282.517
214 164.469 168.831 175.378 181.145 187.952 199.707 213.334 227.567 240.904 249.128 256.408 265.047 271.037 278.414 283.666
215 165.344 169.718 176.283 182.066 188.890 200.674 214.334 228.600 241.966 250.207 257.503 266.159 272.162 279.553 284.815
216 166.220 170.606 177.189 182.987 189.828 201.642 215.334 229.632 243.028 251.286 258.597 267.271 273.286 280.692 285.964
217 167.096 171.494 178.095 183.907 190.767 202.609 216.334 230.665 244.090 252.365 259.691 268.383 274.409 281.830 287.112
218 167.973 172.383 179.001 184.828 191.705 203.577 217.334 231.697 245.151 253.444 260.785 269.495 275.533 282.968 288.261
219 168.850 173.271 179.907 185.750 192.644 204.544 218.334 232.729 246.213 254.523 261.879 270.606 276.656 284.106 289.408
220 169.727 174.160 180.813 186.671 193.582 205.512 219.334 233.762 247.274 255.602 262.973 271.717 277.779 285.243 290.556
221 170.604 175.050 181.720 187.593 194.521 206.480 220.334 234.794 248.335 256.680 264.066 272.828 278.902 286.380 291.703
222 171.482 175.939 182.627 188.514 195.460 207.448 221.334 235.826 249.396 257.758 265.159 273.939 280.024 287.517 292.850
223 172.360 176.829 183.534 189.436 196.400 208.416 222.334 236.858 250.457 258.837 266.252 275.049 281.146 288.653 293.996
224 173.238 177.719 184.441 190.359 197.339 209.384 223.334 237.890 251.517 259.914 267.345 276.159 282.268 289.789 295.142
225 174.116 178.609 185.348 191.281 198.278 210.352 224.334 238.922 252.578 260.992 268.438 277.269 283.390 290.925 296.288
226 174.995 179.499 186.256 192.203 199.218 211.320 225.334 239.954 253.638 262.070 269.530 278.379 284.511 292.061 297.433
227 175.874 180.390 187.164 193.126 200.158 212.288 226.334 240.985 254.699 263.147 270.622 279.488 285.632 293.196 298.579
228 176.753 181.281 188.072 194.049 201.097 213.257 227.334 242.017 255.759 264.224 271.714 280.597 286.753 294.331 299.723
229 177.633 182.172 188.980 194.972 202.037 214.225 228.334 243.049 256.819 265.301 272.806 281.706 287.874 295.465 300.868
230 178.512 183.063 189.889 195.895 202.978 215.194 229.334 244.080 257.879 266.378 273.898 282.814 288.994 296.600 302.012
231 179.392 183.955 190.797 196.818 203.918 216.162 230.334 245.112 258.939 267.455 274.989 283.923 290.114 297.734 303.156
232 180.273 184.847 191.706 197.742 204.858 217.131 231.334 246.143 259.998 268.531 276.080 285.031 291.234 298.867 304.299
233 181.153 185.739 192.615 198.665 205.799 218.099 232.334 247.174 261.058 269.608 277.171 286.139 292.353 300.001 305.443
234 182.034 186.631 193.524 199.589 206.739 219.068 233.334 248.206 262.117 270.684 278.262 287.247 293.472 301.134 306.586
235 182.915 187.524 194.434 200.513 207.680 220.037 234.334 249.237 263.176 271.760 279.352 288.354 294.591 302.267 307.728
236 183.796 188.417 195.343 201.437 208.621 221.006 235.334 250.268 264.235 272.836 280.443 289.461 295.710 303.400 308.871
237 184.678 189.310 196.253 202.362 209.562 221.975 236.334 251.299 265.294 273.911 281.533 290.568 296.828 304.532 310.013
238 185.560 190.203 197.163 203.286 210.503 222.944 237.334 252.330 266.353 274.987 282.623 291.675 297.947 305.664 311.154
239 186.442 191.096 198.073 204.211 211.444 223.913 238.334 253.361 267.412 276.062 283.713 292.782 299.065 306.796 312.296
240 187.324 191.990 198.984 205.135 212.386 224.882 239.334 254.392 268.471 277.138 284.802 293.888 300.182 307.927 313.437
241 188.207 192.884 199.894 206.060 213.327 225.851 240.334 255.423 269.529 278.213 285.892 294.994 301.300 309.058 314.578
242 189.090 193.778 200.805 206.985 214.269 226.820 241.334 256.453 270.588 279.288 286.981 296.100 302.417 310.189 315.718
243 189.973 194.672 201.716 207.911 215.210 227.790 242.334 257.484 271.646 280.362 288.070 297.206 303.534 311.320 316.859
244 190.856 195.567 202.627 208.836 216.152 228.759 243.334 258.515 272.704 281.437 289.159 298.311 304.651 312.450 317.999
245 191.739 196.462 203.539 209.762 217.094 229.729 244.334 259.545 273.762 282.511 290.248 299.417 305.767 313.580 319.138
246 192.623 197.357 204.450 210.687 218.036 230.698 245.334 260.576 274.820 283.586 291.336 300.522 306.883 314.710 320.278
247 193.507 198.252 205.362 211.613 218.979 231.668 246.334 261.606 275.878 284.660 292.425 301.626 307.999 315.840 321.417
248 194.391 199.147 206.274 212.539 219.921 232.637 247.334 262.636 276.935 285.734 293.513 302.731 309.115 316.969 322.556
249 195.276 200.043 207.186 213.465 220.863 233.607 248.334 263.667 277.993 286.808 294.601 303.835 310.231 318.098 323.694
250 196.161 200.939 208.098 214.392 221.806 234.577 249.334 264.697 279.050 287.882 295.689 304.940 311.346 319.227 324.832
300 240.663 245.972 253.912 260.878 269.068 283.135 299.334 316.138 331.789 341.395 349.874 359.906 366.844 375.369 381.425
350 285.608 291.406 300.064 307.648 316.550 331.810 349.334 367.464 384.306 394.626 403.723 414.474 421.900 431.017 437.488
400 330.903 337.155 346.482 354.641 364.207 380.577 399.334 418.697 436.649 447.632 457.305 468.724 476.606 486.274 493.132
450 376.483 383.163 393.118 401.817 412.007 429.418 449.334 469.855 488.849 500.456 510.670 522.717 531.026 541.212 548.432
500 422.303 429.388 439.936 449.147 459.926 478.323 499.333 520.950 540.930 553.127 563.852 576.493 585.207 595.882 603.446
550 468.328 475.796 486.910 496.607 507.947 527.281 549.333 571.992 592.909 605.667 616.878 630.084 639.183 650.324 658.215
600 514.529 522.365 534.019 544.180 556.056 576.286 599.333 622.988 644.800 658.094 669.769 683.516 692.982 704.568 712.771
650 560.885 569.074 581.245 591.853 604.242 625.331 649.333 673.942 696.614 710.421 722.542 736.807 746.625 758.639 767.141
700 607.380 615.907 628.577 639.613 652.497 674.413 699.333 724.861 748.359 762.661 775.211 789.974 800.131 812.556 821.347
750 653.997 662.852 676.003 687.452 700.814 723.526 749.333 775.747 800.043 814.822 827.785 843.029 853.514 866.336 875.404
800 700.725 709.897 723.513 735.362 749.185 772.669 799.333 826.604 851.671 866.911 880.275 895.984 906.786 919.991 929.329
850 747.554 757.033 771.099 783.337 797.607 821.839 849.333 877.435 903.249 918.937 932.689 948.848 959.957 973.534 983.133
900 794.475 804.252 818.756 831.370 846.075 871.032 899.333 928.241 954.782 970.904 985.032 1001.630 1013.036 1026.974 1036.826
950 841.480 851.547 866.477 879.457 894.584 920.248 949.333 979.026 1006.272 1022.816 1037.311 1054.334 1066.031 1080.320 1090.418
1000 888.564 898.912 914.257 927.594 943.133 969.484 999.333 1029.790 1057.724 1074.679 1089.531 1106.969 1118.948 1133.579 1143.917