SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 1 -50/1 0/1 1 20 0.020000 In 0.015528 0.024472 -49/1 0/1 1 20 0.020408 In 0.015845 0.024972 -48/1 0/1 1 20 0.020833 In 0.016175 0.025492 -47/1 0/1 1 20 0.021277 In 0.016519 0.026034 -46/1 0/1 1 20 0.021739 In 0.016878 0.026600 -45/1 0/1 1 20 0.022222 In 0.017253 0.027191 -44/1 0/1 1 20 0.022727 In 0.017645 0.027809 -43/1 0/1 1 20 0.023256 In 0.018056 0.028456 -42/1 0/1 1 20 0.023810 In 0.018486 0.029133 -41/1 0/1 1 20 0.024390 In 0.018936 0.029844 -40/1 0/1 1 20 0.025000 In 0.019410 0.030590 -39/1 0/1 1 20 0.025641 In 0.019908 0.031375 -38/1 0/1 1 20 0.026316 In 0.020431 0.032200 -37/1 0/1 1 20 0.027027 In 0.020984 0.033070 -36/1 0/1 1 20 0.027778 In 0.021566 0.033989 -35/1 0/1 1 20 0.028571 In 0.022183 0.034960 -34/1 0/1 1 20 0.029412 In 0.022835 0.035988 -33/1 0/1 1 20 0.030303 In 0.023527 0.037079 -32/1 0/1 1 20 0.031250 In 0.024262 0.038238 -31/1 0/1 1 20 0.032258 In 0.025045 0.039471 -30/1 0/1 1 20 0.033333 In 0.025880 0.040787 -29/1 0/1 1 20 0.034483 In 0.026772 0.042193 -28/1 0/1 1 20 0.035714 In 0.027728 0.043700 -27/1 0/1 1 20 0.037037 In 0.028755 0.045319 -26/1 0/1 1 20 0.038462 In 0.029861 0.047062 -25/1 0/1 1 20 0.040000 In 0.031056 0.048944 -24/1 0/1 1 20 0.041667 In 0.032350 0.050984 -23/1 0/1 1 20 0.043478 In 0.033756 0.053200 -22/1 0/1 1 20 0.045455 In 0.035291 0.055618 -21/1 0/1 1 20 0.047619 In 0.036971 0.058267 -20/1 0/1 1 20 0.050000 In 0.038820 0.061180 -19/1 0/1 1 20 0.052632 In 0.040863 0.064400 -18/1 0/1 1 20 0.055556 In 0.043133 0.067978 -17/1 0/1 1 20 0.058824 In 0.045670 0.071977 -16/1 0/1 1 20 0.062500 In 0.048525 0.076475 -15/1 0/1 1 20 0.066667 In 0.051760 0.081574 -14/1 0/1 1 20 0.071429 In 0.055457 0.087400 -13/1 0/1 1 20 0.076923 In 0.059723 0.094124 -12/1 0/1 1 20 0.083333 In 0.064699 0.101967 -11/1 0/1 1 20 0.090909 In 0.070581 0.111237 -10/1 0/1 1 20 0.100000 In 0.077639 0.122361 -9/1 0/1 1 20 0.111111 In 0.086266 0.135956 -8/1 0/1 1 20 0.125000 In 0.097049 0.152951 -7/1 0/1 1 20 0.142857 In 0.110913 0.174801 -6/1 0/1 1 20 0.166667 In 0.129399 0.203934 -5/1 0/1 1 20 0.200000 In 0.155279 0.244721 -4/1 0/1 1 20 0.250000 In 0.194098 0.305902 -3/1 0/1 1 20 0.333333 In 0.258798 0.407869 -2/1 0/1 1 20 0.500000 In 0.388197 0.611803 -1/1 0/1 1 20 1.000000 In 0.776393 1.223607 0/1 0/1 1 20 1/1 0/1 1 20 -1.000000 In -1.223607 -0.776393 2/1 0/1 1 20 -0.500000 In -0.611803 -0.388197 3/1 0/1 1 20 -0.333333 In -0.407869 -0.258798 4/1 0/1 1 20 -0.250000 In -0.305902 -0.194098 5/1 0/1 1 20 -0.200000 In -0.244721 -0.155279 6/1 0/1 1 20 -0.166667 In -0.203934 -0.129399 7/1 0/1 1 20 -0.142857 In -0.174801 -0.110913 8/1 0/1 1 20 -0.125000 In -0.152951 -0.097049 9/1 0/1 1 20 -0.111111 In -0.135956 -0.086266 10/1 0/1 1 20 -0.100000 In -0.122361 -0.077639 11/1 0/1 1 20 -0.090909 In -0.111237 -0.070581 12/1 0/1 1 20 -0.083333 In -0.101967 -0.064699 13/1 0/1 1 20 -0.076923 In -0.094124 -0.059723 14/1 0/1 1 20 -0.071429 In -0.087400 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36/1 0/1 1 20 -0.027778 In -0.033989 -0.021566 37/1 0/1 1 20 -0.027027 In -0.033070 -0.020984 38/1 0/1 1 20 -0.026316 In -0.032200 -0.020431 39/1 0/1 1 20 -0.025641 In -0.031375 -0.019908 40/1 0/1 1 20 -0.025000 In -0.030590 -0.019410 41/1 0/1 1 20 -0.024390 In -0.029844 -0.018936 42/1 0/1 1 20 -0.023810 In -0.029133 -0.018486 43/1 0/1 1 20 -0.023256 In -0.028456 -0.018056 44/1 0/1 1 20 -0.022727 In -0.027809 -0.017645 45/1 0/1 1 20 -0.022222 In -0.027191 -0.017253 46/1 0/1 1 20 -0.021739 In -0.026600 -0.016878 47/1 0/1 1 20 -0.021277 In -0.026034 -0.016519 48/1 0/1 1 20 -0.020833 In -0.025492 -0.016175 49/1 0/1 1 20 -0.020408 In -0.024972 -0.015845 50/1 0/1 1 20 -0.020000 In -0.024472 -0.015528 -49/2 0 10 -47/2 0 10 -45/2 0 10 -43/2 0 10 -41/2 0 10 -39/2 0 10 -37/2 0 10 -35/2 0 10 -33/2 0 10 -31/2 0 10 -29/2 0 10 -27/2 0 10 -25/2 0 10 -23/2 0 10 -21/2 0 10 -19/2 0 10 -17/2 0 10 -15/2 0 10 -13/2 0 10 -11/2 0 10 -9/2 0 10 -7/2 0 10 -5/2 0 10 -3/2 0 10 -1/2 0 10 1/2 0 10 3/2 0 10 5/2 0 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-2/1 1 20 0.119878 In 0.113079 0.126678 -23/3 2/1 1 20 0.130673 In 0.118410 0.142936 -22/3 -2/1 1 20 0.136213 In 0.128818 0.143608 -20/3 2/1 1 20 0.150325 In 0.135783 0.164867 -19/3 -2/1 1 20 0.157705 In 0.149648 0.165762 -17/3 2/1 1 20 0.176939 In 0.159131 0.194747 -16/3 -2/1 1 20 0.187256 In 0.178514 0.195997 -14/3 2/1 1 20 0.215015 In 0.192175 0.237856 -13/3 -2/1 1 20 0.230450 In 0.221177 0.239723 -11/3 2/1 1 20 0.274007 In 0.242539 0.305474 -10/3 -2/1 1 20 0.299599 In 0.290637 0.308561 -8/3 2/1 1 20 0.377743 In 0.328676 0.426810 -7/3 -2/1 1 20 0.428279 In 0.423697 0.432861 -5/3 2/1 1 20 0.608871 In 0.509691 0.708051 -4/3 -2/1 1 20 0.753165 In 0.724860 0.781469 -2/3 2/1 1 20 1.605263 In 1.134512 2.076014 -1/3 -2/1 1 20 3.625000 In 2.227458 5.022542 1/3 2/1 1 20 -3.625000 In -5.022542 -2.227458 2/3 -2/1 1 20 -1.605263 In -2.076014 -1.134512 4/3 2/1 1 20 -0.753165 In -0.781469 -0.724860 5/3 -2/1 1 20 -0.608871 In -0.708051 -0.509691 7/3 2/1 1 20 -0.428279 In -0.432861 -0.423697 8/3 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0.098901 0.118280 -44/5 1/1 1 4 0.113780 In 0.101124 0.126437 -43/5 1/0 2 4 0.116311 In 0.114398 0.118223 -42/5 1/0 2 4 0.119081 In 0.117077 0.121086 -41/5 -1/1 1 4 0.121821 In 0.111111 0.132530 -39/5 1/1 1 4 0.128391 In 0.113924 0.142857 -38/5 1/0 2 4 0.131625 In 0.129175 0.134074 -37/5 1/0 2 4 0.135185 In 0.132601 0.137768 -36/5 -1/1 1 4 0.138723 In 0.126761 0.150685 -34/5 1/1 1 4 0.147307 In 0.130435 0.164179 -33/5 1/0 2 4 0.151585 In 0.148337 0.154833 -32/5 1/0 2 4 0.156326 In 0.152872 0.159781 -31/5 -1/1 1 4 0.161072 In 0.147541 0.174603 -29/5 1/1 1 4 0.172762 In 0.152542 0.192982 -28/5 1/0 2 4 0.178685 In 0.174173 0.183198 -27/5 1/0 2 4 0.185312 In 0.180459 0.190165 -26/5 -1/1 1 4 0.192009 In 0.176471 0.207547 -24/5 1/1 1 4 0.208858 In 0.183673 0.234043 -23/5 1/0 2 4 0.217597 In 0.210907 0.224287 -22/5 1/0 2 4 0.227508 In 0.220195 0.234820 -21/5 -1/1 1 4 0.237663 In 0.219512 0.255814 -19/5 1/1 1 4 0.264033 In 0.230769 0.297297 -18/5 1/0 2 4 0.278207 In 0.267278 0.289136 -17/5 1/0 2 4 0.294627 In 0.282372 0.306882 -16/5 -1/1 1 4 0.311828 In 0.290323 0.333333 -14/5 1/1 1 4 0.358876 In 0.310345 0.407407 -13/5 1/0 2 4 0.385757 In 0.364774 0.406739 -12/5 1/0 2 4 0.418118 In 0.393481 0.442756 -11/5 -1/1 1 4 0.453416 In 0.428571 0.478261 -9/5 1/1 1 4 0.560372 In 0.473684 0.647059 -8/5 1/0 2 4 0.629921 In 0.574244 0.685599 -7/5 1/0 2 4 0.721649 In 0.648752 0.794547 -6/5 -1/1 1 4 0.832168 In 0.818182 0.846154 -4/5 1/1 1 4 1.285714 In 1.000000 1.571429 -3/5 1/0 2 4 1.764706 In 1.348761 2.180651 -2/5 1/0 2 4 2.857143 In 1.846990 3.867295 -1/5 -1/1 1 4 6.333333 In 3.666667 9.000000 1/5 1/1 1 4 -6.333333 In -9.000000 -3.666667 2/5 1/0 2 4 -2.857143 In -3.867295 -1.846990 3/5 1/0 2 4 -1.764706 In -2.180651 -1.348761 4/5 -1/1 1 4 -1.285714 In -1.571429 -1.000000 6/5 1/1 1 4 -0.832168 In -0.846154 -0.818182 7/5 1/0 2 4 -0.721649 In -0.794547 -0.648752 8/5 1/0 2 4 -0.629921 In -0.685599 -0.574244 9/5 -1/1 1 4 -0.560372 In -0.647059 -0.473684 11/5 1/1 1 4 -0.453416 In -0.478261 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