SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 1/0 1 1 -50/1 -50/1 1 21 -49/1 -49/1 1 21 -48/1 -48/1 1 21 -47/1 -47/1 1 21 -46/1 -46/1 1 21 -45/1 -45/1 1 21 -44/1 -44/1 1 21 -43/1 -43/1 1 21 -42/1 -42/1 1 21 -41/1 -41/1 1 21 -40/1 -40/1 1 21 -39/1 -39/1 1 21 -38/1 -38/1 1 21 -37/1 -37/1 1 21 -36/1 -36/1 1 21 -35/1 -35/1 1 21 -34/1 -34/1 1 21 -33/1 -33/1 1 21 -32/1 -32/1 1 21 -31/1 -31/1 1 21 -30/1 -30/1 1 21 -29/1 -29/1 1 21 -28/1 -28/1 1 21 -27/1 -27/1 1 21 -26/1 -26/1 1 21 -25/1 -25/1 1 21 -24/1 -24/1 1 21 -23/1 -23/1 1 21 -22/1 -22/1 1 21 -21/1 -21/1 1 21 -20/1 -20/1 1 21 -19/1 -19/1 1 21 -18/1 -18/1 1 21 -17/1 -17/1 1 21 -16/1 -16/1 1 21 -15/1 -15/1 1 21 -14/1 -14/1 1 21 -13/1 -13/1 1 21 -12/1 -12/1 1 21 -11/1 -11/1 1 21 -10/1 -10/1 1 21 -9/1 -9/1 1 21 -8/1 -8/1 1 21 -7/1 -7/1 1 21 -6/1 -6/1 1 21 -5/1 -5/1 1 21 -4/1 -4/1 1 21 -3/1 -3/1 1 21 -2/1 -2/1 1 21 -1/1 -1/1 1 21 0/1 0/1 1 21 1/1 1/1 1 21 2/1 2/1 1 21 3/1 3/1 1 21 4/1 4/1 1 21 5/1 5/1 1 21 6/1 6/1 1 21 7/1 7/1 1 21 8/1 8/1 1 21 9/1 9/1 1 21 10/1 10/1 1 21 11/1 11/1 1 21 12/1 12/1 1 21 13/1 13/1 1 21 14/1 14/1 1 21 15/1 15/1 1 21 16/1 16/1 1 21 17/1 17/1 1 21 18/1 18/1 1 21 19/1 19/1 1 21 20/1 20/1 1 21 21/1 21/1 1 21 22/1 22/1 1 21 23/1 23/1 1 21 24/1 24/1 1 21 25/1 25/1 1 21 26/1 26/1 1 21 27/1 27/1 1 21 28/1 28/1 1 21 29/1 29/1 1 21 30/1 30/1 1 21 31/1 31/1 1 21 32/1 32/1 1 21 33/1 33/1 1 21 34/1 34/1 1 21 35/1 35/1 1 21 36/1 36/1 1 21 37/1 37/1 1 21 38/1 38/1 1 21 39/1 39/1 1 21 40/1 40/1 1 21 41/1 41/1 1 21 42/1 42/1 1 21 43/1 43/1 1 21 44/1 44/1 1 21 45/1 45/1 1 21 46/1 46/1 1 21 47/1 47/1 1 21 48/1 48/1 1 21 49/1 49/1 1 21 50/1 50/1 1 21 -49/2 1/0 1 21 0.040817 In 0.040635 0.040999 -47/2 1/0 1 21 0.042554 In 0.042357 0.042752 -45/2 1/0 1 21 0.044445 In 0.044230 0.044661 -43/2 1/0 1 21 0.046513 In 0.046277 0.046749 -41/2 1/0 1 21 0.048782 In 0.048522 0.049042 -39/2 1/0 1 21 0.051284 In 0.050997 0.051571 -37/2 1/0 1 21 0.054056 In 0.053737 0.054375 -35/2 1/0 1 21 0.057145 In 0.056789 0.057501 -33/2 1/0 1 21 0.060609 In 0.060208 0.061009 -31/2 1/0 1 21 0.064519 In 0.064065 0.064973 -29/2 1/0 1 21 0.068969 In 0.068450 0.069488 -27/2 1/0 1 21 0.074079 In 0.073480 0.074678 -25/2 1/0 1 21 0.080006 In 0.079308 0.080704 -23/2 1/0 1 21 0.086964 In 0.086139 0.087789 -21/2 1/0 1 21 0.095248 In 0.094259 0.096238 -19/2 1/0 1 21 0.105277 In 0.104068 0.106486 -17/2 1/0 1 21 0.117666 In 0.116156 0.119177 -15/2 1/0 1 21 0.133362 In 0.131421 0.135302 -13/2 1/0 1 21 0.153890 In 0.151306 0.156473 -11/2 1/0 1 21 0.181890 In 0.178281 0.185498 -9/2 1/0 1 21 0.222353 In 0.216962 0.227744 -7/2 1/0 1 21 0.285992 In 0.277077 0.294908 -5/2 1/0 1 21 0.400763 In 0.383273 0.418254 -3/2 1/0 1 21 0.670213 In 0.621462 0.718964 -1/2 1/0 1 21 2.100000 In 1.641742 2.558258 1/2 1/0 1 21 -2.100000 In -2.558258 -1.641742 3/2 1/0 1 21 -0.670213 In -0.718964 -0.621462 5/2 1/0 1 21 -0.400763 In -0.418254 -0.383273 7/2 1/0 1 21 -0.285992 In -0.294908 -0.277077 9/2 1/0 1 21 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0.059656 0.060270 -49/3 -17/1 1 7 0.061266 In 0.060946 0.061587 -47/3 -15/1 1 7 0.063788 In 0.063441 0.064135 -46/3 -16/1 1 7 0.065265 In 0.064902 0.065629 -44/3 -14/1 1 7 0.068134 In 0.067738 0.068530 -43/3 -15/1 1 7 0.069822 In 0.069406 0.070238 -41/3 -13/1 1 7 0.073116 In 0.072660 0.073572 -40/3 -14/1 1 7 0.075064 In 0.074583 0.075544 -38/3 -12/1 1 7 0.078884 In 0.078353 0.079415 -37/3 -13/1 1 7 0.081156 In 0.080594 0.081718 -35/3 -11/1 1 7 0.085640 In 0.085014 0.086266 -34/3 -12/1 1 7 0.088324 In 0.087658 0.088990 -32/3 -10/1 1 7 0.093662 In 0.092913 0.094410 -31/3 -11/1 1 7 0.096882 In 0.096081 0.097683 -29/3 -9/1 1 7 0.103341 In 0.102430 0.104253 -28/3 -10/1 1 7 0.107275 In 0.106293 0.108258 -26/3 -8/1 1 7 0.115253 In 0.114119 0.116386 -25/3 -9/1 1 7 0.120168 In 0.118935 0.121400 -23/3 -7/1 1 7 0.130268 In 0.128820 0.131716 -22/3 -8/1 1 7 0.136582 In 0.134991 0.138174 -20/3 -6/1 1 7 0.149783 In 0.147868 0.151697 -19/3 -7/1 1 7 0.158192 In 0.156057 0.160327 -17/3 -5/1 1 7 0.176176 In 0.173528 0.178825 -16/3 -6/1 1 7 0.187927 In 0.184914 0.190940 -14/3 -4/1 1 7 0.213864 In 0.209962 0.217767 -13/3 -5/1 1 7 0.231434 In 0.226864 0.236003 -11/3 -3/1 1 7 0.272076 In 0.265762 0.278391 -10/3 -4/1 1 7 0.301170 In 0.293433 0.308906 -8/3 -2/1 1 7 0.373874 In 0.361956 0.385792 -7/3 -3/1 1 7 0.431138 In 0.415295 0.446981 -5/3 -1/1 1 7 0.597701 In 0.567290 0.628112 -4/3 -2/1 1 7 0.759259 In 0.710264 0.808255 -2/3 0/1 1 7 1.500000 In 1.311018 1.688982 -1/3 -1/1 1 7 3.333333 In 2.451416 4.215250 1/3 1/1 1 7 -3.333333 In -4.215250 -2.451416 2/3 0/1 1 7 -1.500000 In -1.688982 -1.311018 4/3 2/1 1 7 -0.759259 In -0.808255 -0.710264 5/3 1/1 1 7 -0.597701 In -0.628112 -0.567290 7/3 3/1 1 7 -0.431138 In -0.446981 -0.415295 8/3 2/1 1 7 -0.373874 In -0.385792 -0.361956 10/3 4/1 1 7 -0.301170 In -0.308906 -0.293433 11/3 3/1 1 7 -0.272076 In -0.278391 -0.265762 13/3 5/1 1 7 -0.231434 In -0.236003 -0.226864 14/3 4/1 1 7 -0.213864 In -0.217767 -0.209962 16/3 6/1 1 7 -0.187927 In -0.190940 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7 -0.061266 In -0.061587 -0.060946 50/3 16/1 1 7 -0.059963 In -0.060270 -0.059656 -49/4 -25/2 1 21 0.081653 In 0.081469 0.081837 -47/4 -23/2 1 21 0.085085 In 0.084885 0.085285 -45/4 -23/2 1 21 0.088913 In 0.088695 0.089131 -43/4 -21/2 1 21 0.092998 In 0.092759 0.093237 -41/4 -21/2 1 21 0.097590 In 0.097327 0.097853 -39/4 -19/2 1 21 0.102533 In 0.102243 0.102823 -37/4 -19/2 1 21 0.108144 In 0.107821 0.108467 -35/4 -17/2 1 21 0.114248 In 0.113887 0.114608 -33/4 -17/2 1 21 0.121258 In 0.120852 0.121664 -31/4 -15/2 1 21 0.128984 In 0.128524 0.129443 -29/4 -15/2 1 21 0.137990 In 0.137465 0.138516 -27/4 -13/2 1 21 0.148085 In 0.147479 0.148690 -25/4 -13/2 1 21 0.160080 In 0.159373 0.160788 -23/4 -11/2 1 21 0.173826 In 0.172992 0.174660 -21/4 -11/2 1 21 0.190591 In 0.189588 0.191594 -19/4 -9/2 1 21 0.210400 In 0.209178 0.211622 -17/4 -9/2 1 21 0.235471 In 0.233940 0.237002 -15/4 -7/2 1 21 0.266467 In 0.264507 0.268427 -13/4 -7/2 1 21 0.308000 In 0.305381 0.310619 -11/4 -5/2 1 21 0.363275 In 0.359632 0.366918 -9/4 -5/2 1 21 0.445107 In 0.439639 0.450576 -7/4 -3/2 1 21 0.570588 In 0.561603 0.579574 -5/4 -3/2 1 21 0.802326 In 0.784564 0.820088 -3/4 -1/2 1 21 1.329787 In 1.281036 1.378538 -1/4 -1/2 1 21 4.100000 In 3.641742 4.558258 1/4 1/2 1 21 -4.100000 In -4.558258 -3.641742 3/4 1/2 1 21 -1.329787 In -1.378538 -1.281036 5/4 3/2 1 21 -0.802326 In -0.820088 -0.784564 7/4 3/2 1 21 -0.570588 In -0.579574 -0.561603 9/4 5/2 1 21 -0.445107 In -0.450576 -0.439639 11/4 5/2 1 21 -0.363275 In -0.366918 -0.359632 13/4 7/2 1 21 -0.308000 In -0.310619 -0.305381 15/4 7/2 1 21 -0.266467 In -0.268427 -0.264507 17/4 9/2 1 21 -0.235471 In -0.237002 -0.233940 19/4 9/2 1 21 -0.210400 In -0.211622 -0.209178 21/4 11/2 1 21 -0.190591 In -0.191594 -0.189588 23/4 11/2 1 21 -0.173826 In -0.174660 -0.172992 25/4 13/2 1 21 -0.160080 In -0.160788 -0.159373 27/4 13/2 1 21 -0.148085 In -0.148690 -0.147479 29/4 15/2 1 21 -0.137990 In -0.138516 -0.137465 31/4 15/2 1 21 -0.128984 In -0.129443 -0.128524 33/4 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21 0.147010 In 0.146626 0.147393 -33/5 -5/1 1 21 0.151462 In 0.149857 0.153067 -32/5 -8/1 1 21 0.156343 In 0.154633 0.158053 -31/5 -19/3 1 21 0.161352 In 0.160890 0.161815 -29/5 -17/3 1 21 0.172346 In 0.171819 0.172874 -28/5 -4/1 1 21 0.178502 In 0.176273 0.180731 -27/5 -7/1 1 21 0.185321 In 0.182919 0.187723 -26/5 -16/3 1 21 0.192396 In 0.191739 0.193053 -24/5 -14/3 1 21 0.208235 In 0.207465 0.209005 -23/5 -3/1 1 21 0.217297 In 0.213995 0.220600 -22/5 -6/1 1 21 0.227488 In 0.223868 0.231108 -21/5 -13/3 1 21 0.238231 In 0.237223 0.239239 -19/5 -11/3 1 21 0.263003 In 0.261774 0.264231 -18/5 -2/1 1 21 0.277647 In 0.272256 0.283038 -17/5 -5/1 1 21 0.294507 In 0.288441 0.300573 -16/5 -10/3 1 21 0.312737 In 0.311000 0.314474 -14/5 -8/3 1 21 0.356861 In 0.354599 0.359123 -13/5 -1/1 1 21 0.384442 In 0.374109 0.394775 -12/5 -4/1 1 21 0.417553 In 0.405365 0.429741 -11/5 -7/3 1 21 0.455056 In 0.451378 0.458734 -9/5 -5/3 1 21 0.554893 In 0.549424 0.560361 -8/5 0/1 1 21 0.625000 In 0.597723 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