SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 31 -50/1 0/1 1 31 0.020000 In 0.016408 0.023592 -49/1 0 31 -48/1 0/1 1 31 0.020833 In 0.017092 0.024575 -47/1 0 31 -46/1 2/1 1 31 0.021771 In 0.017696 0.025845 -45/1 0 31 -44/1 0/1 1 31 0.022727 In 0.018645 0.026809 -43/1 0 31 -42/1 -2/1 1 31 0.023775 In 0.019702 0.027848 -41/1 0 31 -40/1 0/1 1 31 0.025000 In 0.020510 0.029490 -39/1 0 31 -38/1 2/1 1 31 0.026363 In 0.021387 0.031338 -37/1 0 31 -36/1 0/1 1 31 0.027778 In 0.022789 0.032767 -35/1 0 31 -34/1 0/1 1 31 0.029412 In 0.024129 0.034694 -33/1 0 31 -32/1 2/1 1 31 0.031317 In 0.025353 0.037281 -31/1 0 31 -30/1 1/0 2 1 0.033408 In 0.031833 0.034982 -29/1 0 31 -28/1 -2/1 1 31 0.035638 In 0.029681 0.041595 -27/1 0 31 -26/1 0/1 1 31 0.038462 In 0.031554 0.045369 -25/1 0 31 -24/1 0/1 1 31 0.041667 In 0.034183 0.049150 -23/1 0 31 -22/1 -2/1 1 31 0.045333 In 0.037910 0.052757 -21/1 0 31 -20/1 0/1 1 31 0.050000 In 0.041020 0.058980 -19/1 0 31 -18/1 2/1 1 31 0.055777 In 0.044686 0.066868 -17/1 0 31 -16/1 0/1 1 31 0.062500 In 0.051275 0.073725 -15/1 0 31 -14/1 -2/1 1 31 0.071146 In 0.060143 0.082150 -13/1 0 31 -12/1 0/1 1 31 0.083333 In 0.068366 0.098300 -11/1 0 31 -10/1 0/1 1 31 0.100000 In 0.082039 0.117961 -9/1 0 31 -8/1 0/1 1 31 0.125000 In 0.102549 0.147451 -7/1 0 31 -6/1 0/1 1 31 0.166667 In 0.136732 0.196601 -5/1 0 31 -4/1 -2/1 1 31 0.247967 In 0.225334 0.270601 -3/1 0 31 -2/1 0/1 1 31 0.500000 In 0.410197 0.589803 -1/1 0 31 0/1 0/1 1 31 1/1 0 1 2/1 0/1 1 31 -0.500000 In -0.589803 -0.410197 3/1 0 31 4/1 0/1 1 31 -0.250000 In -0.294901 -0.205099 5/1 0 31 6/1 2/1 1 31 -0.165468 In -0.185496 -0.145440 7/1 0 31 8/1 0/1 1 31 -0.125000 In -0.147451 -0.102549 9/1 0 31 10/1 0/1 1 31 -0.100000 In -0.117961 -0.082039 11/1 0 31 12/1 0/1 1 31 -0.083333 In -0.098300 -0.068366 13/1 0 31 14/1 0/1 1 31 -0.071429 In -0.084258 -0.058600 15/1 0 31 16/1 2/1 1 31 -0.062279 In -0.072106 -0.052452 17/1 0 31 18/1 0/1 1 31 -0.055556 In -0.065534 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31 -35/2 0 31 -33/2 0 31 -31/2 0 31 -29/2 1/0 4 1 0.069295 In 0.064516 0.074074 -27/2 0 31 -25/2 0 31 -23/2 0 31 -21/2 0 31 -19/2 0 31 -17/2 0 31 -15/2 0 31 -13/2 0 31 -11/2 0 31 -9/2 0 31 -7/2 0 31 -5/2 0 31 -3/2 0 31 -1/2 0 31 1/2 0 31 3/2 0 31 5/2 0 31 7/2 0 31 9/2 0 31 11/2 0 31 13/2 0 31 15/2 0 31 17/2 0 31 19/2 0 31 21/2 0 31 23/2 0 31 25/2 0 31 27/2 0 31 29/2 0 31 31/2 0 31 33/2 1/0 4 1 -0.060829 In -0.064516 -0.057143 35/2 0 31 37/2 0 31 39/2 0 31 41/2 0 31 43/2 0 31 45/2 0 31 47/2 0 31 49/2 0 31 -50/3 0/1 1 31 0.060000 In 0.056408 0.063592 -49/3 0 31 -47/3 0 31 -46/3 0/1 1 31 0.065217 In 0.061313 0.069122 -44/3 6/1 1 31 0.068323 In 0.062567 0.074078 -43/3 0 31 -41/3 0 31 -40/3 -4/3 1 31 0.074782 In 0.062655 0.086909 -38/3 0/1 1 31 0.078947 In 0.074221 0.083674 -37/3 0 31 -35/3 0 31 -34/3 0/1 1 31 0.088235 In 0.082953 0.093518 -32/3 0/1 1 31 0.093750 In 0.088137 0.099363 -31/3 0 31 -29/3 0 31 -28/3 1/0 6 1 0.107969 In 0.098524 0.117414 -26/3 -4/1 1 31 0.115282 In 0.111559 0.119004 -25/3 0 31 -23/3 0 31 -22/3 0/1 1 31 0.136364 In 0.128200 0.144528 -20/3 -6/1 1 31 0.149951 In 0.149051 0.150852 -19/3 0 31 -17/3 0 31 -16/3 2/1 1 31 0.187847 In 0.172404 0.203289 -14/3 -2/1 1 31 0.214097 In 0.206762 0.221433 -13/3 0 31 -11/3 0 31 -10/3 -2/1 1 31 0.299742 In 0.292548 0.306935 -8/3 -2/1 1 31 0.374747 In 0.369123 0.380371 -7/3 0 31 -5/3 0 31 -4/3 0/1 1 31 0.750000 In 0.705099 0.794901 -2/3 0/1 1 31 1.500000 In 1.410197 1.589803 -1/3 0 31 1/3 0 31 2/3 0/1 1 31 -1.500000 In -1.589803 -1.410197 4/3 0/1 1 31 -0.750000 In -0.794901 -0.705099 5/3 0 31 7/3 0 31 8/3 0/1 1 31 -0.375000 In -0.397451 -0.352549 10/3 0/1 1 31 -0.300000 In -0.317961 -0.282039 11/3 0 31 13/3 0 31 14/3 2/1 1 31 -0.214097 In -0.221433 -0.206762 16/3 2/1 1 31 -0.187342 In -0.194362 -0.180323 17/3 0 31 19/3 0 31 20/3 2/1 1 31 -0.149887 In -0.156175 -0.143599 22/3 -2/1 1 31 -0.136533 In -0.146926 -0.126140 23/3 0 31 25/3 0 31 26/3 6/1 1 31 -0.115296 In -0.117426 -0.113167 28/3 0/1 1 31 -0.107143 In 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31 49/4 0 31 -49/5 0 31 -48/5 4/1 1 31 0.104246 In 0.098944 0.109548 -47/5 0 31 -46/5 -4/1 1 31 0.108661 In 0.106454 0.110869 -44/5 -2/1 1 31 0.113611 In 0.110456 0.116765 -43/5 0 31 -42/5 0/1 1 31 0.119048 In 0.114771 0.123324 -41/5 0 31 -39/5 0 31 -38/5 -2/1 1 31 0.131546 In 0.128063 0.135029 -37/5 0 31 -36/5 2/1 1 31 0.138953 In 0.132577 0.145328 -34/5 10/1 1 31 0.147750 In 0.134663 0.160838 -33/5 0 31 -32/5 -2/1 1 31 0.156207 In 0.152347 0.160066 -31/5 0 31 -29/5 0 31 -28/5 -2/1 1 31 0.178519 In 0.174394 0.182643 -27/5 0 31 -26/5 1/0 10 1 0.195195 In 0.171454 0.218936 -24/5 -6/1 1 31 0.208418 In 0.206543 0.210292 -23/5 0 31 -22/5 -2/1 1 31 0.227200 In 0.222746 0.231654 -21/5 0 31 -19/5 0 31 -18/5 -2/1 1 31 0.277689 In 0.273253 0.282126 -17/5 0 31 -16/5 -2/1 1 31 0.312405 In 0.308194 0.316617 -14/5 -2/1 1 31 0.357049 In 0.353381 0.360717 -13/5 0 31 -12/5 0/1 1 31 0.416667 In 0.401700 0.431634 -11/5 0 31 -9/5 0 31 -8/5 0/1 1 31 0.625000 In 0.602549 0.647451 -7/5 0 31 -6/5 -2/1 1 31 0.834532 In 0.814504 0.854560 -4/5 -2/1 1 31 1.256098 In 1.188198 1.323997 -3/5 0 31 -2/5 0/1 1 31 2.500000 In 2.410197 2.589803 -1/5 0 31 1/5 0 31 2/5 0/1 1 31 -2.500000 In -2.589803 -2.410197 3/5 0 31 4/5 0/1 1 31 -1.250000 In -1.294901 -1.205099 6/5 0/1 1 31 -0.833333 In -0.863268 -0.803399 7/5 0 31 8/5 0/1 1 31 -0.625000 In -0.647451 -0.602549 9/5 0 31 11/5 0 31 12/5 0/1 1 31 -0.416667 In -0.431634 -0.401700 13/5 0 31 14/5 2/1 1 31 -0.357049 In -0.360717 -0.353381 16/5 2/1 1 31 -0.312405 In -0.316617 -0.308194 17/5 0 31 18/5 0/1 1 31 -0.277778 In -0.287756 -0.267800 19/5 0 31 21/5 0 31 22/5 0/1 1 31 -0.227273 In -0.235437 -0.219109 23/5 0 31 24/5 2/1 1 31 -0.208268 In -0.212634 -0.203902 26/5 2/1 1 31 -0.192249 In -0.196501 -0.187997 27/5 0 31 28/5 2/1 1 31 -0.178519 In -0.182643 -0.174394 29/5 0 31 31/5 0 31 32/5 2/1 1 31 -0.156207 In -0.160066 -0.152347 33/5 0 31 34/5 6/1 1 31 -0.147039 In -0.147661 -0.146417 36/5 1/0 10 1 -0.139969 In -0.152264 -0.127674 37/5 0 31 38/5 2/1 1 31 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In 0.177803 0.190740 -37/7 0 31 -36/7 -6/1 1 31 0.194469 In 0.193637 0.195302 -34/7 0/1 1 31 0.205882 In 0.200600 0.211165 -33/7 0 31 -32/7 0/1 1 31 0.218750 In 0.213137 0.224363 -31/7 0 31 -30/7 0/1 1 31 0.233333 In 0.227346 0.239320 -29/7 0 31 -27/7 0 31 -26/7 -2/5 1 31 0.268805 In 0.237979 0.299631 -25/7 0 31 -24/7 1/0 3 1 0.293194 In 0.272034 0.314353 -23/7 0 31 -22/7 -8/7 1 31 0.315797 In 0.279274 0.352319 -20/7 0/1 1 31 0.350000 In 0.341020 0.358980 -19/7 0 31 -18/7 0/1 1 31 0.388889 In 0.378911 0.398867 -17/7 0 31 -16/7 -2/1 1 31 0.437468 In 0.436065 0.438872 -15/7 0 31 -13/7 0 31 -12/7 0/1 1 31 0.583333 In 0.568366 0.598300 -11/7 0 31 -10/7 2/1 1 31 0.701550 In 0.658389 0.744711 -9/7 0 31 -8/7 0/1 1 31 0.875000 In 0.852549 0.897451 -6/7 0/1 1 31 1.166667 In 1.136732 1.196601 -5/7 0 31 -4/7 -2/1 1 31 1.760163 In 1.646997 1.873329 -3/7 0 31 -2/7 -2/3 1 31 3.566667 In 3.195482 3.937851 -1/7 0 31 1/7 0 31 2/7 0/1 1 31 -3.500000 In -3.589803 -3.410197 3/7 0 31 4/7 0/1 1 31 -1.750000 In -1.794901 -1.705099 5/7 0 31 6/7 0/1 1 31 -1.166667 In -1.196601 -1.136732 8/7 0/1 1 31 -0.875000 In -0.897451 -0.852549 9/7 0 31 10/7 0/1 1 31 -0.700000 In -0.717961 -0.682039 11/7 0 31 12/7 0/1 1 31 -0.583333 In -0.598300 -0.568366 13/7 0 31 15/7 0 31 16/7 2/3 1 31 -0.436964 In -0.460830 -0.413098 17/7 0 31 18/7 2/1 1 31 -0.388845 In -0.391063 -0.386626 19/7 0 31 20/7 0/1 1 31 -0.350000 In -0.358980 -0.341020 22/7 0/1 1 31 -0.318182 In -0.326346 -0.310018 23/7 0 31 24/7 -2/1 1 31 -0.291844 In -0.303696 -0.279992 25/7 0 31 26/7 0/1 1 31 -0.269231 In -0.276139 -0.262323 27/7 0 31 29/7 0 31 30/7 2/1 1 31 -0.233295 In -0.236489 -0.230102 31/7 0 31 32/7 0/1 1 31 -0.218750 In -0.224363 -0.213137 33/7 0 31 34/7 0/1 1 31 -0.205882 In -0.211165 -0.200600 36/7 8/7 1 31 -0.193359 In -0.220564 -0.166153 37/7 0 31 38/7 1/0 3 1 -0.184594 In -0.193008 -0.176180 39/7 0 31 40/7 2/5 1 31 -0.174812 In -0.195693 -0.153932 41/7 0 31 43/7 0 31 44/7 0/1 1 31 -0.159091 In -0.163173 -0.155009 45/7 0 31 46/7 0/1 1 31 -0.152174 In -0.156078 -0.148269 47/7 0 31 48/7 0/1 1 31 -0.145833 In -0.149575 -0.142092 50/7 6/1 1 31 -0.139988 In -0.140563 -0.139413 -49/8 0 31 -47/8 0 31 -45/8 0 31 -43/8 0 31 -41/8 0 31 -39/8 0 31 -37/8 0 31 -35/8 0 31 -33/8 0 31 -31/8 0 31 -29/8 0 31 -27/8 0 31 -25/8 0 31 -23/8 0/1 1 1 0.347826 In 0.304348 0.391304 -21/8 0 31 -19/8 0 31 -17/8 0 31 -15/8 0 31 -13/8 0 31 -11/8 0 31 -9/8 0 31 -7/8 0 31 -5/8 0 31 -3/8 0 31 -1/8 0 31 1/8 0 31 3/8 0 31 5/8 0 31 7/8 0 31 9/8 0 31 11/8 0 31 13/8 0 31 15/8 0 31 17/8 0 31 19/8 0 31 21/8 0 31 23/8 0 31 25/8 0 31 27/8 0 31 29/8 0 31 31/8 0 31 33/8 0 31 35/8 0 31 37/8 0 31 39/8 0/1 1 1 -0.205128 In -0.230769 -0.179487 41/8 0 31 43/8 0 31 45/8 0 31 47/8 0 31 49/8 0 31 -50/9 0/1 1 31 0.180000 In 0.176408 0.183592 -49/9 0 31 -47/9 0 31 -46/9 -4/1 1 31 0.195639 In 0.194790 0.196488 -44/9 0/1 1 31 0.204545 In 0.200464 0.208627 -43/9 0 31 -41/9 0 31 -40/9 -2/1 1 31 0.224978 In 0.222508 0.227448 -38/9 2/1 1 31 0.236908 In 0.229942 0.243874 -37/9 0 31 -35/9 0 31 -34/9 -10/9 1 31 0.262928 In 0.229275 0.296582 -32/9 0/1 1 31 0.281250 In 0.275637 0.286863 -31/9 0 31 -29/9 0 31 -28/9 -2/3 1 31 0.321235 In 0.306112 0.336357 -26/9 0/1 1 31 0.346154 In 0.339246 0.353062 -25/9 0 31 -23/9 0 31 -22/9 0/1 5 1 0.409091 In 0.307451 0.510730 -20/9 -2/5 1 31 0.449338 In 0.412508 0.486169 -19/9 0 31 -17/9 0 31 -16/9 0/1 1 31 0.562500 In 0.551275 0.573725 -14/9 0/1 1 31 0.642857 In 0.630028 0.655686 -13/9 0 31 -11/9 0 31 -10/9 0/1 1 31 0.900000 In 0.882039 0.917961 -8/9 -2/1 1 31 1.126263 In 1.098143 1.154383 -7/9 0 31 -5/9 0 31 -4/9 -2/1 1 31 2.264228 In 2.105795 2.422660 -2/9 0/1 1 31 4.500000 In 4.410197 4.589803 -1/9 0 31 1/9 0 31 2/9 0/1 1 31 -4.500000 In -4.589803 -4.410197 4/9 2/1 1 31 -2.264228 In -2.422660 -2.105795 5/9 0 31 7/9 0 31 8/9 0/1 1 31 -1.125000 In -1.147451 -1.102549 10/9 0/1 1 31 -0.900000 In -0.917961 -0.882039 11/9 0 31 13/9 0 31 14/9 -2/1 1 31 -0.643610 In -0.672953 -0.614267 16/9 0/1 1 31 -0.562500 In 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