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 10 -49/1 -49/1 1 10 -48/1 -48/1 1 10 -47/1 -47/1 1 10 -46/1 -46/1 1 10 -45/1 -45/1 1 10 -44/1 -44/1 1 10 -43/1 -43/1 1 10 -42/1 -42/1 1 10 -41/1 -41/1 1 10 -40/1 -40/1 1 10 -39/1 -39/1 1 10 -38/1 -38/1 1 10 -37/1 -37/1 1 10 -36/1 -36/1 1 10 -35/1 -35/1 1 10 -34/1 -34/1 1 10 -33/1 -33/1 1 10 -32/1 -32/1 1 10 -31/1 -31/1 1 10 -30/1 -30/1 1 10 -29/1 -29/1 1 10 -28/1 -28/1 1 10 -27/1 -27/1 1 10 -26/1 -26/1 1 10 -25/1 -25/1 1 10 -24/1 -24/1 1 10 -23/1 -23/1 1 10 -22/1 -22/1 1 10 -21/1 -21/1 1 10 -20/1 -20/1 1 10 -19/1 -19/1 1 10 -18/1 -18/1 1 10 -17/1 -17/1 1 10 -16/1 -16/1 1 10 -15/1 -15/1 1 10 -14/1 -14/1 1 10 -13/1 -13/1 1 10 -12/1 -12/1 1 10 -11/1 -11/1 1 10 -10/1 -10/1 1 10 -9/1 -9/1 1 10 -8/1 -8/1 1 10 -7/1 -7/1 1 10 -6/1 -6/1 1 10 -5/1 -5/1 1 10 -4/1 -4/1 1 10 -3/1 -3/1 1 10 -2/1 -2/1 1 10 -1/1 -1/1 1 10 0/1 0/1 1 10 1/1 1/1 1 10 2/1 2/1 1 10 3/1 3/1 1 10 4/1 4/1 1 10 5/1 5/1 1 10 6/1 6/1 1 10 7/1 7/1 1 10 8/1 8/1 1 10 9/1 9/1 1 10 10/1 10/1 1 10 11/1 11/1 1 10 12/1 12/1 1 10 13/1 13/1 1 10 14/1 14/1 1 10 15/1 15/1 1 10 16/1 16/1 1 10 17/1 17/1 1 10 18/1 18/1 1 10 19/1 19/1 1 10 20/1 20/1 1 10 21/1 21/1 1 10 22/1 22/1 1 10 23/1 23/1 1 10 24/1 24/1 1 10 25/1 25/1 1 10 26/1 26/1 1 10 27/1 27/1 1 10 28/1 28/1 1 10 29/1 29/1 1 10 30/1 30/1 1 10 31/1 31/1 1 10 32/1 32/1 1 10 33/1 33/1 1 10 34/1 34/1 1 10 35/1 35/1 1 10 36/1 36/1 1 10 37/1 37/1 1 10 38/1 38/1 1 10 39/1 39/1 1 10 40/1 40/1 1 10 41/1 41/1 1 10 42/1 42/1 1 10 43/1 43/1 1 10 44/1 44/1 1 10 45/1 45/1 1 10 46/1 46/1 1 10 47/1 47/1 1 10 48/1 48/1 1 10 49/1 49/1 1 10 50/1 50/1 1 10 -49/2 1/0 1 5 0.040820 In 0.040447 0.041192 -47/2 1/0 1 5 0.042557 In 0.042152 0.042962 -45/2 1/0 1 5 0.044449 In 0.044007 0.044891 -43/2 1/0 1 5 0.046517 In 0.046033 0.047000 -41/2 1/0 1 5 0.048786 In 0.048254 0.049318 -39/2 1/0 1 5 0.051289 In 0.050701 0.051877 -37/2 1/0 1 5 0.054062 In 0.053409 0.054715 -35/2 1/0 1 5 0.057152 In 0.056422 0.057882 -33/2 1/0 1 5 0.060617 In 0.059796 0.061439 -31/2 1/0 1 5 0.064530 In 0.063599 0.065460 -29/2 1/0 1 5 0.068982 In 0.067918 0.070046 -27/2 1/0 1 5 0.074094 In 0.072867 0.075322 -25/2 1/0 1 5 0.080026 In 0.078594 0.081457 -23/2 1/0 1 5 0.086989 In 0.085298 0.088681 -21/2 1/0 1 5 0.095281 In 0.093252 0.097310 -19/2 1/0 1 5 0.105322 In 0.102842 0.107801 -17/2 1/0 1 5 0.117729 In 0.114631 0.120826 -15/2 1/0 1 5 0.133452 In 0.129473 0.137431 -13/2 1/0 1 5 0.154028 In 0.148730 0.159327 -11/2 1/0 1 5 0.182119 In 0.174715 0.189523 -9/2 1/0 1 5 0.222772 In 0.211703 0.233842 -7/2 1/0 1 5 0.286885 In 0.268557 0.305214 -5/2 1/0 1 5 0.403226 In 0.367160 0.439291 -3/2 1/0 1 5 0.681818 In 0.580179 0.783458 -1/2 1/0 1 5 2.500000 In 1.381966 3.618034 1/2 1/0 1 5 -2.500000 In -3.618034 -1.381966 3/2 1/0 1 5 -0.681818 In -0.783458 -0.580179 5/2 1/0 1 5 -0.403226 In -0.439291 -0.367160 7/2 1/0 1 5 -0.286885 In -0.305214 -0.268557 9/2 1/0 1 5 -0.222772 In -0.233842 -0.211703 11/2 1/0 1 5 -0.182119 In -0.189523 -0.174715 13/2 1/0 1 5 -0.154028 In -0.159327 -0.148730 15/2 1/0 1 5 -0.133452 In -0.137431 -0.129473 17/2 1/0 1 5 -0.117729 In -0.120826 -0.114631 19/2 1/0 1 5 -0.105322 In -0.107801 -0.102842 21/2 1/0 1 5 -0.095281 In -0.097310 -0.093252 23/2 1/0 1 5 -0.086989 In -0.088681 -0.085298 25/2 1/0 1 5 -0.080026 In -0.081457 -0.078594 27/2 1/0 1 5 -0.074094 In -0.075322 -0.072867 29/2 1/0 1 5 -0.068982 In -0.070046 -0.067918 31/2 1/0 1 5 -0.064530 In -0.065460 -0.063599 33/2 1/0 1 5 -0.060617 In -0.061439 -0.059796 35/2 1/0 1 5 -0.057152 In -0.057882 -0.056422 37/2 1/0 1 5 -0.054062 In -0.054715 -0.053409 39/2 1/0 1 5 -0.051289 In -0.051877 -0.050701 41/2 1/0 1 5 -0.048786 In -0.049318 -0.048254 43/2 1/0 1 5 -0.046517 In -0.047000 -0.046033 45/2 1/0 1 5 -0.044449 In -0.044891 -0.044007 47/2 1/0 1 5 -0.042557 In -0.042962 -0.042152 49/2 1/0 1 5 -0.040820 In -0.041192 -0.040447 -50/3 -16/1 1 10 0.059974 In 0.059719 0.060230 -49/3 -17/1 1 10 0.061254 In 0.060987 0.061520 -47/3 -15/1 1 10 0.063801 In 0.063511 0.064090 -46/3 -16/1 1 10 0.065251 In 0.064948 0.065553 -44/3 -14/1 1 10 0.068149 In 0.067819 0.068479 -43/3 -15/1 1 10 0.069806 In 0.069459 0.070152 -41/3 -13/1 1 10 0.073133 In 0.072753 0.073513 -40/3 -14/1 1 10 0.075044 In 0.074644 0.075444 -38/3 -12/1 1 10 0.078903 In 0.078461 0.079346 -37/3 -13/1 1 10 0.081133 In 0.080665 0.081601 -35/3 -11/1 1 10 0.085662 In 0.085141 0.086184 -34/3 -12/1 1 10 0.088297 In 0.087743 0.088851 -32/3 -10/1 1 10 0.093688 In 0.093065 0.094312 -31/3 -11/1 1 10 0.096849 In 0.096182 0.097515 -29/3 -9/1 1 10 0.103374 In 0.102614 0.104133 -28/3 -10/1 1 10 0.107235 In 0.106418 0.108052 -26/3 -8/1 1 10 0.115293 In 0.114348 0.116237 -25/3 -9/1 1 10 0.120117 In 0.119091 0.121142 -23/3 -7/1 1 10 0.130319 In 0.129112 0.131525 -22/3 -8/1 1 10 0.136516 In 0.135192 0.137840 -20/3 -6/1 1 10 0.149849 In 0.148253 0.151444 -19/3 -7/1 1 10 0.158102 In 0.156326 0.159878 -17/3 -5/1 1 10 0.176265 In 0.174058 0.178473 -16/3 -6/1 1 10 0.187797 In 0.185291 0.190303 -14/3 -4/1 1 10 0.213992 In 0.210738 0.217245 -13/3 -5/1 1 10 0.231231 In 0.227433 0.235030 -11/3 -3/1 1 10 0.272273 In 0.267007 0.277539 -10/3 -4/1 1 10 0.300813 In 0.294386 0.307240 -8/3 -2/1 1 10 0.374214 In 0.364270 0.384158 -7/3 -3/1 1 10 0.430353 In 0.417205 0.443502 -5/3 -1/1 1 10 0.598394 In 0.572994 0.623793 -4/3 -2/1 1 10 0.756410 In 0.715868 0.796952 -2/3 0/1 1 10 1.500000 In 1.341886 1.658114 -1/3 -1/1 1 10 3.222222 In 2.519494 3.924951 1/3 1/1 1 10 -3.222222 In -3.924951 -2.519494 2/3 0/1 1 10 -1.500000 In -1.658114 -1.341886 4/3 2/1 1 10 -0.756410 In -0.796952 -0.715868 5/3 1/1 1 10 -0.598394 In -0.623793 -0.572994 7/3 3/1 1 10 -0.430353 In -0.443502 -0.417205 8/3 2/1 1 10 -0.374214 In -0.384158 -0.364270 10/3 4/1 1 10 -0.300813 In -0.307240 -0.294386 11/3 3/1 1 10 -0.272273 In -0.277539 -0.267007 13/3 5/1 1 10 -0.231231 In -0.235030 -0.227433 14/3 4/1 1 10 -0.213992 In -0.217245 -0.210738 16/3 6/1 1 10 -0.187797 In -0.190303 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0.131384 In 0.129890 0.132879 -37/5 -8/1 1 2 0.135378 In 0.133791 0.136964 -36/5 -7/1 1 2 0.138812 In 0.138256 0.139369 -34/5 -7/1 1 2 0.147150 In 0.146525 0.147775 -33/5 -6/1 1 2 0.151261 In 0.149280 0.153241 -32/5 -7/1 1 2 0.156578 In 0.154456 0.158701 -31/5 -6/1 1 2 0.161188 In 0.160438 0.161938 -29/5 -6/1 1 2 0.172539 In 0.171680 0.173399 -28/5 -5/1 1 2 0.178224 In 0.175475 0.180974 -27/5 -6/1 1 2 0.185654 In 0.182670 0.188638 -26/5 -5/1 1 2 0.192163 In 0.191097 0.193228 -24/5 -5/1 1 2 0.208518 In 0.207263 0.209773 -23/5 -4/1 1 2 0.216891 In 0.212819 0.220962 -22/5 -5/1 1 2 0.227996 In 0.223497 0.232495 -21/5 -4/1 1 2 0.237875 In 0.236242 0.239508 -19/5 -4/1 1 2 0.263456 In 0.261453 0.265459 -18/5 -3/1 1 2 0.276995 In 0.270356 0.283635 -17/5 -4/1 1 2 0.295374 In 0.287824 0.302923 -16/5 -3/1 1 2 0.312127 In 0.309316 0.314939 -14/5 -3/1 1 2 0.357702 In 0.354010 0.361395 -13/5 -2/1 1 2 0.383234 In 0.370531 0.395936 -12/5 -3/1 1 2 0.419355 In 0.404148 0.434561 -11/5 -2/1 1 2 0.453782 In 0.447839 0.459724 -9/5 -2/1 1 2 0.556962 In 0.548011 0.565913 -8/5 -1/1 1 2 0.622047 In 0.588641 0.655454 -7/5 -2/1 1 2 0.723404 In 0.678270 0.768539 -6/5 -1/1 1 2 0.830986 In 0.811067 0.850904 -4/5 -1/1 1 2 1.258065 In 1.212445 1.303684 -3/5 0/1 1 2 1.666667 In 1.430964 1.902369 -2/5 -1/1 1 2 2.714286 In 2.108194 3.320377 -1/5 0/1 1 2 5.000000 In 4.292893 5.707107 1/5 0/1 1 2 -5.000000 In -5.707107 -4.292893 2/5 1/1 1 2 -2.714286 In -3.320377 -2.108194 3/5 0/1 1 2 -1.666667 In -1.902369 -1.430964 4/5 1/1 1 2 -1.258065 In -1.303684 -1.212445 6/5 1/1 1 2 -0.830986 In -0.850904 -0.811067 7/5 2/1 1 2 -0.723404 In -0.768539 -0.678270 8/5 1/1 1 2 -0.622047 In -0.655454 -0.588641 9/5 2/1 1 2 -0.556962 In -0.565913 -0.548011 11/5 2/1 1 2 -0.453782 In -0.459724 -0.447839 12/5 3/1 1 2 -0.419355 In -0.434561 -0.404148 13/5 2/1 1 2 -0.383234 In -0.395936 -0.370531 14/5 3/1 1 2 -0.357702 In -0.361395 -0.354010 16/5 3/1 1 2 -0.312127 In -0.314939 -0.309316 17/5 4/1 1 2 -0.295374 In -0.302923 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