SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 5 -50/1 0/1 1 5 0.020000 In 0.011056 0.028944 -49/1 1/1 1 5 0.020493 In 0.011179 0.029807 -48/1 0/1 1 5 0.020833 In 0.011516 0.030150 -47/1 0/1 2 5 0.021277 In 0.007820 0.034733 -46/1 0/1 1 5 0.021739 In 0.012017 0.031461 -45/1 1/2 1 5 0.022422 In 0.002323 0.042521 -44/1 1/2 1 5 0.022936 In 0.002375 0.043497 -43/1 1/1 1 5 0.023367 In 0.012723 0.034010 -42/1 1/1 2 5 0.024042 In 0.008621 0.039462 -41/1 1/1 1 5 0.024512 In 0.013337 0.035687 -40/1 0/1 1 5 0.025000 In 0.013820 0.036180 -39/1 1/1 1 5 0.025776 In 0.014013 0.037538 -38/1 0/1 1 5 0.026316 In 0.014547 0.038085 -37/1 0/1 2 5 0.027027 In 0.009934 0.044120 -36/1 0/1 1 5 0.027778 In 0.015355 0.040200 -35/1 1/2 1 5 0.028903 In 0.002978 0.054827 -34/1 1/2 1 5 0.029763 In 0.003065 0.056461 -33/1 1/1 1 5 0.030492 In 0.016527 0.044457 -32/1 1/1 2 5 0.031653 In 0.011263 0.052043 -31/1 1/1 1 5 0.032473 In 0.017578 0.047368 -30/1 0/1 1 5 0.033333 In 0.018426 0.048240 -29/1 1/1 1 5 0.034729 In 0.018772 0.050686 -28/1 0/1 1 5 0.035714 In 0.019742 0.051686 -27/1 0/1 2 5 0.037037 In 0.013613 0.060461 -26/1 0/1 1 5 0.038462 In 0.021261 0.055662 -25/1 1/2 1 5 0.040653 In 0.004149 0.077157 -24/1 1/2 1 5 0.042376 In 0.004318 0.080433 -23/1 1/1 1 5 0.043873 In 0.023576 0.064170 -22/1 1/1 2 5 0.046319 In 0.016240 0.076399 -21/1 1/1 1 5 0.048094 In 0.025774 0.070414 -20/1 0/1 1 5 0.050000 In 0.027639 0.072361 -19/1 1/1 1 5 0.053215 In 0.028425 0.078005 -18/1 0/1 1 5 0.055556 In 0.030710 0.080401 -17/1 0/1 2 5 0.058824 In 0.021620 0.096027 -16/1 0/1 1 5 0.062500 In 0.034549 0.090451 -15/1 1/2 1 5 0.068505 In 0.006834 0.130176 -14/1 1/2 1 5 0.073544 In 0.007307 0.139781 -13/1 1/1 1 5 0.078199 In 0.041108 0.115290 -12/1 1/1 2 5 0.086351 In 0.029095 0.143607 -11/1 1/1 1 5 0.092715 In 0.048290 0.137140 -10/1 0/1 1 5 0.100000 In 0.055279 0.144721 -9/1 1/1 1 5 0.113861 In 0.058513 0.169210 -8/1 0/1 1 5 0.125000 In 0.069098 0.180902 -7/1 0/1 2 5 0.142857 In 0.052506 0.233208 -6/1 0/1 1 5 0.166667 In 0.092131 0.241202 -5/1 1/2 1 5 0.217742 In 0.019381 0.416103 -4/1 1/2 1 5 0.278481 In 0.023739 0.533223 -3/1 1/1 1 5 0.363636 In 0.160357 0.566915 -2/1 1/1 2 5 0.666667 In 0.139620 1.193713 -1/1 1/1 1 5 1.500000 In 0.381966 2.618034 0/1 0/1 1 5 1/1 1/1 1 5 2/1 0/1 1 5 -0.500000 In -0.723607 -0.276393 3/1 0/1 2 5 -0.333333 In -0.544152 -0.122515 4/1 0/1 1 5 -0.250000 In -0.361803 -0.138197 5/1 1/2 1 5 -0.185484 In -0.347779 -0.023189 6/1 1/2 1 5 -0.156425 In -0.293837 -0.019013 7/1 1/1 1 5 -0.139344 In -0.194330 -0.084359 8/1 1/1 2 5 -0.119497 In -0.189107 -0.049887 9/1 1/1 1 5 -0.108911 In -0.153189 -0.064632 10/1 0/1 1 5 -0.100000 In -0.144721 -0.055279 11/1 1/1 1 5 -0.089404 In -0.126425 -0.052383 12/1 0/1 1 5 -0.083333 In -0.120601 -0.046066 13/1 0/1 2 5 -0.076923 In -0.125574 -0.028273 14/1 0/1 1 5 -0.071429 In -0.103372 -0.039485 15/1 1/2 1 5 -0.064947 In -0.122639 -0.007254 16/1 1/2 1 5 -0.060985 In -0.115182 -0.006788 17/1 1/1 1 5 -0.058172 In -0.082948 -0.033395 18/1 1/1 2 5 -0.054388 In -0.087614 -0.021163 19/1 1/1 1 5 -0.052106 In -0.074418 -0.029795 20/1 0/1 1 5 -0.050000 In -0.072361 -0.027639 21/1 1/1 1 5 -0.047187 In -0.067478 -0.026896 22/1 0/1 1 5 -0.045455 In -0.065782 -0.025127 23/1 0/1 2 5 -0.043478 In -0.070976 -0.015980 24/1 0/1 1 5 -0.041667 In -0.060301 -0.023033 25/1 1/2 1 5 -0.039373 In -0.074445 -0.004300 26/1 1/2 1 5 -0.037881 In -0.071631 -0.004132 27/1 1/1 1 5 -0.036773 In -0.052727 -0.020818 28/1 1/1 2 5 -0.035222 In -0.057014 -0.013430 29/1 1/1 1 5 -0.034253 In -0.049146 -0.019360 30/1 0/1 1 5 -0.033333 In -0.048240 -0.018426 31/1 1/1 1 5 -0.032057 In -0.046020 -0.018093 32/1 0/1 1 5 -0.031250 In -0.045225 -0.017275 33/1 0/1 2 5 -0.030303 In -0.049468 -0.011138 34/1 0/1 1 5 -0.029412 In -0.042565 -0.016258 35/1 1/2 1 5 -0.028250 In -0.053444 -0.003055 36/1 1/2 1 5 -0.027473 In -0.051977 -0.002969 37/1 1/1 1 5 -0.026885 In -0.038647 -0.015123 38/1 1/1 2 5 -0.026046 In -0.042256 -0.009836 39/1 1/1 1 5 -0.025513 In -0.036687 -0.014338 40/1 0/1 1 5 -0.025000 In -0.036180 -0.013820 41/1 1/1 1 5 -0.024274 In -0.034917 -0.013631 42/1 0/1 1 5 -0.023810 In -0.034457 -0.013162 43/1 0/1 2 5 -0.023256 In -0.037964 -0.008548 44/1 0/1 1 5 -0.022727 In -0.032891 -0.012563 45/1 1/2 1 5 -0.022027 In -0.041684 -0.002370 46/1 1/2 1 5 -0.021552 In -0.040787 -0.002318 47/1 1/1 1 5 -0.021188 In -0.030502 -0.011874 48/1 1/1 2 5 -0.020663 In -0.033567 -0.007759 49/1 1/1 1 5 -0.020327 In -0.029268 -0.011385 50/1 0/1 1 5 -0.020000 In -0.028944 -0.011056 -49/2 0 5 -47/2 0 5 -45/2 1/1 1 5 0.044548 In 0.034167 0.054928 -43/2 0/1 1 5 0.046512 In 0.036111 0.056912 -41/2 0 5 -39/2 0 5 -37/2 0 5 -35/2 1/1 1 5 0.057315 In 0.043806 0.070825 -33/2 0/1 1 5 0.060606 In 0.047054 0.074158 -31/2 0 5 -29/2 0 5 -27/2 0 5 -25/2 1/1 1 5 0.080346 In 0.061020 0.099672 -23/2 0/1 1 5 0.086957 In 0.067512 0.106401 -21/2 0 5 -19/2 0 5 -17/2 0 5 -15/2 1/1 1 5 0.134342 In 0.100522 0.168161 -13/2 0/1 1 5 0.153846 In 0.119445 0.188247 -11/2 0 5 -9/2 0 5 -7/2 0 5 -5/2 1/1 1 5 0.411290 In 0.285061 0.537520 -3/2 0/1 1 5 0.666667 In 0.517595 0.815738 -1/2 0 5 1/2 0 5 3/2 0 5 5/2 1/1 1 5 -0.395161 In -0.449260 -0.341063 7/2 0/1 1 5 -0.285714 In -0.349602 -0.221827 9/2 0 5 11/2 0 5 13/2 0 5 15/2 1/1 1 5 -0.132562 In -0.158424 -0.106700 17/2 0/1 1 5 -0.117647 In -0.143954 -0.091340 19/2 0 5 21/2 0 5 23/2 0 5 25/2 1/1 1 5 -0.079706 In -0.096168 -0.063243 27/2 0/1 1 5 -0.074074 In -0.090638 -0.057511 29/2 0 5 31/2 0 5 33/2 0 5 35/2 1/1 1 5 -0.056989 In -0.069038 -0.044940 37/2 0/1 1 5 -0.054054 In -0.066141 -0.041967 39/2 0 5 41/2 0 5 43/2 0 5 45/2 1/1 1 5 -0.044350 In -0.053847 -0.034853 47/2 0/1 1 5 -0.042553 In -0.052068 -0.033038 49/2 0 5 -50/3 0/1 1 5 0.060000 In 0.051056 0.068944 -49/3 0 5 -47/3 1/3 1 5 0.064107 In 0.034952 0.093263 -46/3 1/2 1 5 0.065413 In 0.045333 0.085493 -44/3 0 5 -43/3 0 5 -41/3 1/2 1 5 0.073417 In 0.050801 0.096034 -40/3 2/3 1 5 0.075788 In 0.040552 0.111024 -38/3 0 5 -37/3 1/1 1 5 0.081239 In 0.068170 0.094308 -35/3 1/0 1 5 0.085728 In 0.084633 0.086824 -34/3 0 5 -32/3 1/0 1 5 0.093768 In 0.092458 0.095079 -31/3 1/0 1 5 0.096794 In 0.095398 0.098191 -29/3 0 5 -28/3 0 5 -26/3 1/0 1 5 0.115419 In 0.113433 0.117404 -25/3 1/0 1 5 0.120038 In 0.117891 0.122186 -23/3 0 5 -22/3 1/0 1 5 0.136420 In 0.133647 0.139193 -20/3 0/1 1 5 0.150000 In 0.127639 0.172361 -19/3 0 5 -17/3 1/3 1 5 0.178670 In 0.095050 0.262291 -16/3 1/2 1 5 0.189210 In 0.128020 0.250401 -14/3 0 5 -13/3 0 5 -11/3 1/2 1 5 0.276490 In 0.183938 0.369043 -10/3 2/3 1 5 0.314516 In 0.152221 0.476811 -8/3 0 5 -7/3 1/1 1 5 0.434426 In 0.342784 0.526068 -5/3 1/0 1 5 0.604839 In 0.550740 0.658937 -4/3 0 5 -2/3 1/0 1 5 1.578947 In 1.225884 1.932011 -1/3 1/0 1 5 3.750000 In 2.072949 5.427051 1/3 0 5 2/3 0 5 4/3 1/0 1 5 -0.759494 In -0.844408 -0.674580 5/3 1/0 1 5 -0.604839 In -0.658937 -0.550740 7/3 0 5 8/3 1/0 1 5 -0.376176 In -0.397204 -0.355147 10/3 0/1 1 5 -0.300000 In -0.344721 -0.255279 11/3 0 5 13/3 1/3 1 5 -0.227488 In -0.322865 -0.132111 14/3 1/2 1 5 -0.212462 In -0.269563 -0.155361 16/3 0 5 17/3 0 5 19/3 1/2 1 5 -0.156874 In -0.200256 -0.113491 20/3 2/3 1 5 -0.147295 In -0.207789 -0.086800 22/3 0 5 23/3 1/1 1 5 -0.130106 In -0.147020 -0.113192 25/3 1/0 1 5 -0.120038 In -0.122186 -0.117891 26/3 0 5 28/3 1/0 1 5 -0.107170 In -0.108882 -0.105458 29/3 1/0 1 5 -0.103473 In -0.105069 -0.101877 31/3 0 5 32/3 0 5 34/3 1/0 1 5 -0.088251 In -0.089411 -0.087090 35/3 1/0 1 5 -0.085728 In -0.086824 -0.084633 37/3 0 5 38/3 1/0 1 5 -0.078958 In -0.079888 -0.078029 40/3 0/1 1 5 -0.075000 In -0.086180 -0.063820 41/3 0 5 43/3 1/3 1 5 -0.069450 In -0.099929 -0.038972 44/3 1/2 1 5 -0.067982 In -0.087619 -0.048345 46/3 0 5 47/3 0 5 49/3 1/2 1 5 -0.061063 In -0.078759 -0.043367 50/3 2/3 1 5 -0.059539 In -0.085307 -0.033771 -49/4 1/2 1 5 0.081806 In 0.062806 0.100806 -47/4 1/0 1 5 0.085114 In 0.084304 0.085924 -45/4 1/1 1 5 0.088996 In 0.078174 0.099819 -43/4 0 5 -41/4 0/1 1 5 0.097561 In 0.086653 0.108469 -39/4 1/2 1 5 0.102841 In 0.078727 0.126954 -37/4 1/2 1 5 0.108416 In 0.082932 0.133900 -35/4 1/1 1 5 0.114468 In 0.100228 0.128708 -33/4 0 5 -31/4 0/1 1 5 0.129032 In 0.114606 0.143459 -29/4 1/0 1 5 0.137964 In 0.135836 0.140091 -27/4 1/2 1 5 0.148738 In 0.113147 0.184328 -25/4 1/1 1 5 0.160371 In 0.139614 0.181129 -23/4 0 5 -21/4 0/1 1 5 0.190476 In 0.169180 0.211772 -19/4 1/2 1 5 0.211752 In 0.159692 0.263811 -17/4 1/2 1 5 0.236842 In 0.177998 0.295686 -15/4 1/1 1 5 0.267794 In 0.229995 0.305592 -13/4 0 5 -11/4 0/1 1 5 0.363636 In 0.322981 0.404292 -9/4 1/2 1 5 0.450495 In 0.328729 0.572261 -7/4 1/0 1 5 0.573770 In 0.537114 0.610427 -5/4 1/1 1 5 0.814516 In 0.652221 0.976811 -3/4 0 5 -1/4 0/1 1 5 4.000000 In 3.552786 4.447214 1/4 1/2 1 5 -4.500000 In -5.618034 -3.381966 3/4 1/2 1 5 -1.318182 In -1.419821 -1.216542 5/4 1/1 1 5 -0.798387 In -0.816420 -0.780354 7/4 0 5 9/4 0/1 1 5 -0.444444 In -0.494135 -0.394754 11/4 1/0 1 5 -0.364238 In -0.379047 -0.349430 13/4 1/2 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0.119061 In 0.117793 0.120329 -41/5 0/1 2 5 0.121951 In 0.106525 0.137377 -39/5 0/1 2 5 0.128205 In 0.111988 0.144422 -38/5 1/2 1 5 0.131874 In 0.106785 0.156964 -37/5 1/0 1 5 0.135155 In 0.133521 0.136788 -36/5 -1/1 2 5 0.138623 In 0.123490 0.153756 -34/5 1/3 2 5 0.148148 In 0.089587 0.206709 -33/5 1/2 1 5 0.151910 In 0.122748 0.181073 -32/5 1/2 1 5 0.156671 In 0.126531 0.186812 -31/5 0/1 2 5 0.161290 In 0.140889 0.181692 -29/5 0/1 2 5 0.172414 In 0.150605 0.194223 -28/5 1/2 1 5 0.179127 In 0.144322 0.213932 -27/5 1/2 1 5 0.185785 In 0.149581 0.221989 -26/5 1/3 2 5 0.194198 In 0.116498 0.271897 -24/5 1/1 2 5 0.209173 In 0.177309 0.241038 -23/5 1/2 1 5 0.218230 In 0.175099 0.261361 -22/5 1/2 1 5 0.228193 In 0.182899 0.273488 -21/5 0/1 2 5 0.238095 In 0.207978 0.268212 -19/5 2/3 2 5 0.271007 In 0.153104 0.388911 -18/5 1/2 1 5 0.279185 In 0.222558 0.335811 -17/5 1/2 1 5 0.295706 In 0.235314 0.356099 -16/5 1/1 2 5 0.314554 In 0.262592 0.366516 -14/5 1/1 2 5 0.359918 In 0.298483 0.421353 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