SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 3 -50/1 0 9 -49/1 1/0 1 9 0.020409 In 0.020270 0.020548 -48/1 0/1 1 9 0.020833 In 0.013889 0.027778 -47/1 0 9 -46/1 0/1 1 9 0.021739 In 0.014493 0.028986 -45/1 1/1 1 9 0.022278 In 0.014706 0.029851 -44/1 0 9 -43/1 1/0 1 9 0.023257 In 0.023077 0.023438 -42/1 0/1 1 9 0.023810 In 0.015873 0.031746 -41/1 0 9 -40/1 0/1 1 9 0.025000 In 0.016667 0.033333 -39/1 1/1 1 9 0.025716 In 0.016949 0.034483 -38/1 0 9 -37/1 1/0 1 9 0.027029 In 0.026786 0.027273 -36/1 0/1 1 9 0.027778 In 0.018519 0.037037 -35/1 0 9 -34/1 0/1 1 9 0.029412 In 0.019608 0.039216 -33/1 1/1 1 9 0.030408 In 0.020000 0.040816 -32/1 0 9 -31/1 1/0 1 9 0.032262 In 0.031915 0.032609 -30/1 0/1 1 9 0.033333 In 0.022222 0.044444 -29/1 0 9 -28/1 0/1 1 9 0.035714 In 0.023810 0.047619 -27/1 1/1 1 9 0.037195 In 0.024390 0.050000 -26/1 0 9 -25/1 1/0 1 9 0.040007 In 0.039474 0.040541 -24/1 0/1 1 9 0.041667 In 0.027778 0.055556 -23/1 0 9 -22/1 0/1 1 9 0.045455 In 0.030303 0.060606 -21/1 1/1 1 9 0.047883 In 0.031250 0.064516 -20/1 0 9 -19/1 1/0 1 9 0.052648 In 0.051724 0.053571 -18/1 0/1 1 9 0.055556 In 0.037037 0.074074 -17/1 0 9 -16/1 0/1 1 9 0.062500 In 0.041667 0.083333 -15/1 1/1 1 9 0.067194 In 0.043478 0.090909 -14/1 0 9 -13/1 1/0 1 9 0.076974 In 0.075000 0.078947 -12/1 0/1 1 9 0.083333 In 0.055556 0.111111 -11/1 0 9 -10/1 0/1 1 9 0.100000 In 0.066667 0.133333 -9/1 1/1 1 9 0.112637 In 0.071429 0.153846 -8/1 0 9 -7/1 1/0 1 9 0.143182 In 0.136364 0.150000 -6/1 0/1 1 9 0.166667 In 0.111111 0.222222 -5/1 0 9 -4/1 0/1 1 9 0.250000 In 0.166667 0.333333 -3/1 1/1 1 9 0.350000 In 0.200000 0.500000 -2/1 0 9 -1/1 1/0 1 9 1.125000 In 0.750000 1.500000 0/1 0/1 1 9 1/1 0 9 2/1 0/1 1 9 -0.500000 In -0.666667 -0.333333 3/1 1/1 1 9 -0.325000 In -0.400000 -0.250000 4/1 0 9 5/1 1/0 1 9 -0.200893 In -0.214286 -0.187500 6/1 0/1 1 9 -0.166667 In -0.222222 -0.111111 7/1 0 9 8/1 0/1 1 9 -0.125000 In -0.166667 -0.083333 9/1 1/1 1 9 -0.109890 In 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9 0.182904 In 0.147059 0.218750 -9/2 1/0 1 9 0.222527 In 0.214286 0.230769 -7/2 0 9 -5/2 1/1 1 9 0.406250 In 0.312500 0.500000 -3/2 1/0 1 9 0.675000 In 0.600000 0.750000 -1/2 0 9 1/2 1/1 1 9 -2.125000 In -2.500000 -1.750000 3/2 1/0 1 9 -0.675000 In -0.750000 -0.600000 5/2 0 9 7/2 1/1 1 9 -0.284091 In -0.318182 -0.250000 9/2 1/0 1 9 -0.222527 In -0.230769 -0.214286 11/2 0 9 13/2 1/1 1 9 -0.153289 In -0.175000 -0.131579 15/2 1/0 1 9 -0.133399 In -0.136364 -0.130435 17/2 0 9 19/2 1/1 1 9 -0.104988 In -0.120690 -0.089286 21/2 1/0 1 9 -0.095262 In -0.096774 -0.093750 23/2 0 9 25/2 1/1 1 9 -0.079836 In -0.092105 -0.067568 27/2 1/0 1 9 -0.074085 In -0.075000 -0.073171 29/2 0 9 31/2 1/1 1 9 -0.064408 In -0.074468 -0.054348 33/2 1/0 1 9 -0.060612 In -0.061224 -0.060000 35/2 0 9 37/2 1/1 1 9 -0.053977 In -0.062500 -0.045455 39/2 1/0 1 9 -0.051286 In -0.051724 -0.050847 41/2 0 9 43/2 1/1 1 9 -0.046454 In -0.053846 -0.039062 45/2 1/0 1 9 -0.044447 In -0.044776 -0.044118 47/2 0 9 49/2 1/1 1 9 -0.040772 In -0.047297 -0.034247 -50/3 0/1 1 3 0.060000 In 0.048453 0.071547 -49/3 0/1 1 3 0.061224 In 0.049442 0.073007 -47/3 1/1 1 3 0.063990 In 0.050920 0.077060 -46/3 0/1 3 3 0.065217 In 0.043478 0.086957 -44/3 0/1 1 3 0.068182 In 0.055060 0.081303 -43/3 1/1 4 3 0.070539 In 0.041792 0.099287 -41/3 1/1 1 3 0.073384 In 0.058268 0.088499 -40/3 0 3 -38/3 0/1 1 3 0.078947 In 0.063754 0.094141 -37/3 1/0 1 3 0.081101 In 0.079835 0.082366 -35/3 1/1 1 3 0.086010 In 0.068095 0.103924 -34/3 0 3 -32/3 0/1 1 3 0.093750 In 0.075708 0.111792 -31/3 0/1 1 3 0.096774 In 0.078150 0.115398 -29/3 1/1 1 3 0.103886 In 0.081909 0.125863 -28/3 0/1 3 3 0.107143 In 0.071429 0.142857 -26/3 0/1 1 3 0.115385 In 0.093179 0.137590 -25/3 1/1 4 3 0.122394 In 0.070553 0.174236 -23/3 1/1 1 3 0.131148 In 0.102753 0.159542 -22/3 0 3 -20/3 0/1 1 3 0.150000 In 0.121132 0.178868 -19/3 1/0 1 3 0.158041 In 0.153238 0.162843 -17/3 1/1 1 3 0.177829 In 0.137828 0.217830 -16/3 0 3 -14/3 0/1 1 3 0.214286 In 0.173046 0.255525 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0.129163 In 0.117021 0.141304 -29/4 0 9 -27/4 1/0 1 9 0.148171 In 0.146341 0.150000 -25/4 -1/1 1 9 0.159851 In 0.148649 0.171053 -23/4 0 9 -21/4 1/0 1 9 0.190524 In 0.187500 0.193548 -19/4 -1/1 1 9 0.210283 In 0.196429 0.224138 -17/4 0 9 -15/4 1/2 1 9 0.267787 In 0.217391 0.318182 -13/4 1/3 1 9 0.309868 In 0.225000 0.394737 -11/4 0 9 -9/4 3/2 1 9 0.458333 In 0.333333 0.583333 -7/4 1/1 1 9 0.575000 In 0.500000 0.650000 -5/4 0 9 -3/4 1/0 1 9 1.350000 In 1.200000 1.500000 -1/4 -1/1 1 9 4.375000 In 3.250000 5.500000 1/4 0 9 3/4 1/0 1 9 -1.350000 In -1.500000 -1.200000 5/4 -1/1 1 9 -0.808036 In -0.928571 -0.687500 7/4 0 9 9/4 1/2 1 9 -0.442308 In -0.500000 -0.384615 11/4 1/3 1 9 -0.361213 In -0.441176 -0.281250 13/4 0 9 15/4 3/2 1 9 -0.264881 In -0.291667 -0.238095 17/4 1/1 1 9 -0.235000 In -0.250000 -0.220000 19/4 0 9 21/4 1/0 1 9 -0.190524 In -0.193548 -0.187500 23/4 -1/1 1 9 -0.174160 In -0.191176 -0.157143 25/4 0 9 27/4 1/0 1 9 -0.148171 In -0.150000 -0.146341 29/4 -1/1 1 9 -0.138081 In 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In 0.194444 0.222222 -23/5 1/0 1 9 0.217437 In 0.214286 0.220588 -22/5 0 9 -21/5 1/1 1 9 0.238407 In 0.218750 0.258065 -19/5 0 9 -18/5 2/1 1 9 0.278846 In 0.250000 0.307692 -17/5 1/0 1 9 0.294231 In 0.288462 0.300000 -16/5 0 9 -14/5 2/1 1 9 0.359091 In 0.318182 0.400000 -13/5 0 9 -12/5 2/3 1 9 0.422601 In 0.315789 0.529412 -11/5 1/0 1 9 0.454963 In 0.441176 0.468750 -9/5 -1/1 1 9 0.554945 In 0.538462 0.571429 -8/5 2/1 1 9 0.632867 In 0.538462 0.727273 -7/5 0 9 -6/5 0/1 1 9 0.833333 In 0.777778 0.888889 -4/5 0 9 -3/5 1/1 1 9 1.700000 In 1.400000 2.000000 -2/5 0/1 1 9 2.500000 In 2.333333 2.666667 -1/5 0 9 1/5 1/0 1 9 -5.625000 In -7.500000 -3.750000 2/5 0 9 3/5 1/1 1 9 -1.675000 In -1.750000 -1.600000 4/5 0/1 1 9 -1.250000 In -1.333333 -1.166667 6/5 0/1 1 9 -0.833333 In -0.888889 -0.777778 7/5 1/0 1 9 -0.715909 In -0.750000 -0.681818 8/5 0 9 9/5 1/1 1 9 -0.554945 In -0.571429 -0.538462 11/5 0 9 12/5 2/1 1 9 -0.416409 In -0.421053 -0.411765 13/5 1/0 1 9 -0.384868 In -0.394737 -0.375000 14/5 0 9 16/5 2/1 1 9 -0.312174 In -0.320000 -0.304348 17/5 0 9 18/5 2/3 1 9 -0.276099 In -0.321429 -0.230769 19/5 1/0 1 9 -0.263239 In -0.267857 -0.258621 21/5 -1/1 1 9 -0.238407 In -0.258065 -0.218750 22/5 2/1 1 9 -0.227022 In -0.235294 -0.218750 23/5 0 9 24/5 0/1 1 9 -0.208333 In -0.222222 -0.194444 26/5 0 9 27/5 1/1 1 9 -0.185061 In -0.195122 -0.175000 28/5 0/1 1 9 -0.178571 In -0.190476 -0.166667 29/5 0 9 31/5 1/0 1 9 -0.161309 In -0.163043 -0.159574 32/5 0 9 33/5 1/1 1 9 -0.151429 In -0.160000 -0.142857 34/5 0/1 1 9 -0.147059 In -0.156863 -0.137255 36/5 0/1 1 9 -0.138889 In -0.148148 -0.129630 37/5 1/0 1 9 -0.135146 In -0.136364 -0.133929 38/5 0 9 39/5 1/1 1 9 -0.128141 In -0.135593 -0.120690 41/5 0 9 42/5 2/1 1 9 -0.118952 In -0.125000 -0.112903 43/5 1/0 1 9 -0.116286 In -0.117188 -0.115385 44/5 0 9 46/5 2/1 1 9 -0.108613 In -0.114286 -0.102941 47/5 0 9 48/5 2/3 1 9 -0.103897 In -0.123288 -0.084507 49/5 1/0 1 9 -0.102046 In -0.102740 -0.101351 -49/6 1/0 1 3 0.122466 In 0.121023 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