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 1/0 1 20 0.020409 In 0.020315 0.020502 -48/1 0/1 1 20 0.020833 In 0.016175 0.025492 -47/1 1/0 1 20 0.021277 In 0.021176 0.021378 -46/1 0/1 1 20 0.021739 In 0.016878 0.026600 -45/1 1/0 1 20 0.022223 In 0.022112 0.022333 -44/1 0/1 1 20 0.022727 In 0.017645 0.027809 -43/1 1/0 1 20 0.023256 In 0.023136 0.023377 -42/1 0/1 1 20 0.023810 In 0.018486 0.029133 -41/1 1/0 1 20 0.024391 In 0.024258 0.024524 -40/1 0/1 1 20 0.025000 In 0.019410 0.030590 -39/1 1/0 1 20 0.025642 In 0.025495 0.025789 -38/1 0/1 1 20 0.026316 In 0.020431 0.032200 -37/1 1/0 1 20 0.027028 In 0.026865 0.027191 -36/1 0/1 1 20 0.027778 In 0.021566 0.033989 -35/1 1/0 1 20 0.028573 In 0.028390 0.028755 -34/1 0/1 1 20 0.029412 In 0.022835 0.035988 -33/1 1/0 1 20 0.030304 In 0.030099 0.030510 -32/1 0/1 1 20 0.031250 In 0.024262 0.038238 -31/1 1/0 1 20 0.032260 In 0.032027 0.032492 -30/1 0/1 1 20 0.033333 In 0.025880 0.040787 -29/1 1/0 1 20 0.034485 In 0.034219 0.034751 -28/1 0/1 1 20 0.035714 In 0.027728 0.043700 -27/1 1/0 1 20 0.037040 In 0.036733 0.037346 -26/1 0/1 1 20 0.038462 In 0.029861 0.047062 -25/1 1/0 1 20 0.040003 In 0.039645 0.040361 -24/1 0/1 1 20 0.041667 In 0.032350 0.050984 -23/1 1/0 1 20 0.043482 In 0.043060 0.043905 -22/1 0/1 1 20 0.045455 In 0.035291 0.055618 -21/1 1/0 1 20 0.047624 In 0.047117 0.048132 -20/1 0/1 1 20 0.050000 In 0.038820 0.061180 -19/1 1/0 1 20 0.052639 In 0.052019 0.053258 -18/1 0/1 1 20 0.055556 In 0.043133 0.067978 -17/1 1/0 1 20 0.058834 In 0.058060 0.059608 -16/1 0/1 1 20 0.062500 In 0.048525 0.076475 -15/1 1/0 1 20 0.066681 In 0.065687 0.067676 -14/1 0/1 1 20 0.071429 In 0.055457 0.087400 -13/1 1/0 1 20 0.076946 In 0.075622 0.078269 -12/1 0/1 1 20 0.083333 In 0.064699 0.101967 -11/1 1/0 1 20 0.090947 In 0.089098 0.092795 -10/1 0/1 1 20 0.100000 In 0.077639 0.122361 -9/1 1/0 1 20 0.111180 In 0.108417 0.113942 -8/1 0/1 1 20 0.125000 In 0.097049 0.152951 -7/1 1/0 1 20 0.143003 In 0.138435 0.147571 -6/1 0/1 1 20 0.166667 In 0.129399 0.203934 -5/1 1/0 1 20 0.200401 In 0.191439 0.209363 -4/1 0/1 1 20 0.250000 In 0.194098 0.305902 -3/1 1/0 1 20 0.335196 In 0.310212 0.360180 -2/1 0/1 1 20 0.500000 In 0.388197 0.611803 -1/1 1/0 1 20 1.052632 In 0.817256 1.288007 0/1 0/1 1 20 1/1 1/0 1 20 -1.052632 In -1.288007 -0.817256 2/1 0/1 1 20 -0.500000 In -0.611803 -0.388197 3/1 1/0 1 20 -0.335196 In -0.360180 -0.310212 4/1 0/1 1 20 -0.250000 In -0.305902 -0.194098 5/1 1/0 1 20 -0.200401 In -0.209363 -0.191439 6/1 0/1 1 20 -0.166667 In -0.203934 -0.129399 7/1 1/0 1 20 -0.143003 In -0.147571 -0.138435 8/1 0/1 1 20 -0.125000 In -0.152951 -0.097049 9/1 1/0 1 20 -0.111180 In -0.113942 -0.108417 10/1 0/1 1 20 -0.100000 In -0.122361 -0.077639 11/1 1/0 1 20 -0.090947 In -0.092795 -0.089098 12/1 0/1 1 20 -0.083333 In -0.101967 -0.064699 13/1 1/0 1 20 -0.076946 In -0.078269 -0.075622 14/1 0/1 1 20 -0.071429 In -0.087400 -0.055457 15/1 1/0 1 20 -0.066681 In -0.067676 -0.065687 16/1 0/1 1 20 -0.062500 In -0.076475 -0.048525 17/1 1/0 1 20 -0.058834 In -0.059608 -0.058060 18/1 0/1 1 20 -0.055556 In -0.067978 -0.043133 19/1 1/0 1 20 -0.052639 In -0.053258 -0.052019 20/1 0/1 1 20 -0.050000 In -0.061180 -0.038820 21/1 1/0 1 20 -0.047624 In -0.048132 -0.047117 22/1 0/1 1 20 -0.045455 In -0.055618 -0.035291 23/1 1/0 1 20 -0.043482 In -0.043905 -0.043060 24/1 0/1 1 20 -0.041667 In -0.050984 -0.032350 25/1 1/0 1 20 -0.040003 In -0.040361 -0.039645 26/1 0/1 1 20 -0.038462 In -0.047062 -0.029861 27/1 1/0 1 20 -0.037040 In -0.037346 -0.036733 28/1 0/1 1 20 -0.035714 In -0.043700 -0.027728 29/1 1/0 1 20 -0.034485 In -0.034751 -0.034219 30/1 0/1 1 20 -0.033333 In -0.040787 -0.025880 31/1 1/0 1 20 -0.032260 In -0.032492 -0.032027 32/1 0/1 1 20 -0.031250 In -0.038238 -0.024262 33/1 1/0 1 20 -0.030304 In -0.030510 -0.030099 34/1 0/1 1 20 -0.029412 In -0.035988 -0.022835 35/1 1/0 1 20 -0.028573 In -0.028755 -0.028390 36/1 0/1 1 20 -0.027778 In -0.033989 -0.021566 37/1 1/0 1 20 -0.027028 In -0.027191 -0.026865 38/1 0/1 1 20 -0.026316 In -0.032200 -0.020431 39/1 1/0 1 20 -0.025642 In -0.025789 -0.025495 40/1 0/1 1 20 -0.025000 In -0.030590 -0.019410 41/1 1/0 1 20 -0.024391 In -0.024524 -0.024258 42/1 0/1 1 20 -0.023810 In -0.029133 -0.018486 43/1 1/0 1 20 -0.023256 In -0.023377 -0.023136 44/1 0/1 1 20 -0.022727 In -0.027809 -0.017645 45/1 1/0 1 20 -0.022223 In -0.022333 -0.022112 46/1 0/1 1 20 -0.021739 In -0.026600 -0.016878 47/1 1/0 1 20 -0.021277 In -0.021378 -0.021176 48/1 0/1 1 20 -0.020833 In -0.025492 -0.016175 49/1 1/0 1 20 -0.020409 In -0.020502 -0.020315 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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0.120010 In 0.118936 0.121083 -23/3 1/0 1 20 0.130447 In 0.129179 0.131715 -22/3 0/1 1 20 0.136364 In 0.126200 0.146528 -20/3 0/1 1 20 0.150000 In 0.138820 0.161180 -19/3 1/0 1 20 0.157917 In 0.156058 0.159775 -17/3 1/0 1 20 0.176501 In 0.174180 0.178823 -16/3 0/1 1 20 0.187500 In 0.173525 0.201475 -14/3 0/1 1 20 0.214286 In 0.198314 0.230258 -13/3 1/0 1 20 0.230838 In 0.226867 0.234808 -11/3 1/0 1 20 0.272840 In 0.267294 0.278386 -10/3 0/1 1 20 0.300000 In 0.277639 0.322361 -8/3 0/1 1 20 0.375000 In 0.347049 0.402951 -7/3 1/0 1 20 0.429009 In 0.415305 0.442713 -5/3 1/0 1 20 0.601202 In 0.574316 0.628089 -4/3 0/1 1 20 0.750000 In 0.694098 0.805902 -2/3 0/1 1 20 1.500000 In 1.388197 1.611803 -1/3 1/0 1 20 3.157895 In 2.451768 3.864021 1/3 1/0 1 20 -3.157895 In -3.864021 -2.451768 2/3 0/1 1 20 -1.500000 In -1.611803 -1.388197 4/3 0/1 1 20 -0.750000 In -0.805902 -0.694098 5/3 1/0 1 20 -0.601202 In -0.628089 -0.574316 7/3 1/0 1 20 -0.429009 In -0.442713 -0.415305 8/3 0/1 1 20 -0.375000 In 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0.216380 -19/4 -1/1 1 5 0.210089 In 0.191496 0.228681 -17/4 -1/1 1 5 0.234765 In 0.214634 0.254895 -15/4 1/1 1 5 0.267794 In 0.229995 0.305592 -13/4 1/1 1 5 0.309242 In 0.264202 0.354281 -11/4 -1/1 1 5 0.362583 In 0.336668 0.388497 -9/4 -1/1 1 5 0.443069 In 0.415395 0.470743 -7/4 1/1 1 5 0.577869 In 0.477063 0.678675 -5/4 1/1 1 5 0.814516 In 0.652221 0.976811 -3/4 -1/1 1 5 1.340909 In 1.290089 1.391729 -1/4 -1/1 1 5 4.750000 In 3.072949 6.427051 1/4 1/1 1 5 -4.750000 In -6.427051 -3.072949 3/4 1/1 1 5 -1.340909 In -1.391729 -1.290089 5/4 -1/1 1 5 -0.814516 In -0.976811 -0.652221 7/4 -1/1 1 5 -0.577869 In -0.678675 -0.477063 9/4 1/1 1 5 -0.443069 In -0.470743 -0.415395 11/4 1/1 1 5 -0.362583 In -0.388497 -0.336668 13/4 -1/1 1 5 -0.309242 In -0.354281 -0.264202 15/4 -1/1 1 5 -0.267794 In -0.305592 -0.229995 17/4 1/1 1 5 -0.234765 In -0.254895 -0.214634 19/4 1/1 1 5 -0.210089 In -0.228681 -0.191496 21/4 -1/1 1 5 -0.191016 In -0.216380 -0.165653 23/4 -1/1 1 5 -0.174357 In -0.197191 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0/1 1 4 0.156250 In 0.140625 0.171875 -31/5 0 4 -29/5 0 4 -28/5 0/1 1 4 0.178571 In 0.160714 0.196429 -27/5 1/0 1 4 0.185249 In 0.181818 0.188679 -26/5 0 4 -24/5 0 4 -23/5 1/0 1 4 0.217494 In 0.212766 0.222222 -22/5 0/1 1 4 0.227273 In 0.204545 0.250000 -21/5 0 4 -19/5 0 4 -18/5 0/1 1 4 0.277778 In 0.250000 0.305556 -17/5 1/0 1 4 0.294372 In 0.285714 0.303030 -16/5 0 4 -14/5 0 4 -13/5 1/0 1 4 0.385185 In 0.370370 0.400000 -12/5 0/1 1 4 0.416667 In 0.375000 0.458333 -11/5 0 4 -9/5 0 4 -8/5 0/1 1 4 0.625000 In 0.562500 0.687500 -7/5 1/0 1 4 0.717949 In 0.666667 0.769231 -6/5 0 4 -4/5 0 4 -3/5 1/0 1 4 1.714286 In 1.428571 2.000000 -2/5 0/1 1 4 2.500000 In 2.250000 2.750000 -1/5 0 4 1/5 0 4 2/5 0/1 1 4 -2.500000 In -2.750000 -2.250000 3/5 1/0 1 4 -1.714286 In -2.000000 -1.428571 4/5 0 4 6/5 0 4 7/5 1/0 1 4 -0.717949 In -0.769231 -0.666667 8/5 0/1 1 4 -0.625000 In -0.687500 -0.562500 9/5 0 4 11/5 0 4 12/5 0/1 1 4 -0.416667 In -0.458333 -0.375000 13/5 1/0 1 4 -0.385185 In -0.400000 -0.370370 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