SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 6 -50/1 0 2 -49/1 0 3 -48/1 0/1 1 6 0.020833 In 0.012328 0.029339 -47/1 1/0 1 1 0.021286 In 0.020833 0.021739 -46/1 -2/1 1 6 0.021588 In 0.013097 0.030080 -45/1 0 3 -44/1 0 2 -43/1 0 3 -42/1 0/1 1 6 0.023810 In 0.014089 0.033530 -41/1 1/0 1 1 0.024405 In 0.023810 0.025000 -40/1 -2/1 1 6 0.024802 In 0.015102 0.034502 -39/1 0 3 -38/1 0 2 -37/1 0 3 -36/1 0/1 1 6 0.027778 In 0.016438 0.039118 -35/1 1/0 1 1 0.028595 In 0.027778 0.029412 -34/1 -2/1 1 6 0.029140 In 0.017833 0.040448 -33/1 0 3 -32/1 0 2 -31/1 0 3 -30/1 0/1 1 6 0.033333 In 0.019725 0.046942 -29/1 1/0 1 1 0.034524 In 0.033333 0.035714 -28/1 -2/1 1 6 0.035319 In 0.021769 0.048870 -27/1 0 3 -26/1 0 2 -25/1 0 3 -24/1 0/1 1 6 0.041667 In 0.024656 0.058677 -23/1 1/0 1 1 0.043561 In 0.041667 0.045455 -22/1 -2/1 1 6 0.044828 In 0.027935 0.061721 -21/1 0 3 -20/1 0 2 -19/1 0 3 -18/1 0/1 1 6 0.055556 In 0.032875 0.078236 -17/1 1/0 1 1 0.059028 In 0.055556 0.062500 -16/1 -2/1 1 6 0.061358 In 0.038973 0.083742 -15/1 0 3 -14/1 0 2 -13/1 0 3 -12/1 0/1 1 6 0.083333 In 0.049313 0.117354 -11/1 1/0 1 1 0.091667 In 0.083333 0.100000 -10/1 -2/1 1 6 0.097315 In 0.064436 0.130194 -9/1 0 3 -8/1 0 2 -7/1 0 3 -6/1 0/1 1 6 0.166667 In 0.098625 0.234708 -5/1 1/0 1 1 0.208333 In 0.166667 0.250000 -4/1 -2/1 1 6 0.239130 In 0.185881 0.292380 -3/1 0 3 -2/1 0 2 -1/1 0 3 0/1 0/1 1 6 1/1 1/0 1 1 -0.500000 Left 2/1 -2/1 1 6 -0.700000 In -1.189898 -0.210102 3/1 0 3 4/1 0 2 5/1 0 3 6/1 0/1 1 6 -0.166667 In -0.234708 -0.098625 7/1 1/0 1 1 -0.145833 In -0.166667 -0.125000 8/1 -2/1 1 6 -0.131579 In -0.196039 -0.067119 9/1 0 3 10/1 0 2 11/1 0 3 12/1 0/1 1 6 -0.083333 In -0.117354 -0.049313 13/1 1/0 1 1 -0.077381 In -0.083333 -0.071429 14/1 -2/1 1 6 -0.073379 In -0.106819 -0.039939 15/1 0 3 16/1 0 2 17/1 0 3 18/1 0/1 1 6 -0.055556 In -0.078236 -0.032875 19/1 1/0 1 1 -0.052778 In -0.055556 -0.050000 20/1 -2/1 1 6 -0.050918 In -0.073409 -0.028427 21/1 0 3 22/1 0 2 23/1 0 3 24/1 0/1 1 6 -0.041667 In -0.058677 -0.024656 25/1 1/0 1 1 -0.040064 In -0.041667 -0.038462 26/1 -2/1 1 6 -0.038993 In -0.055919 -0.022067 27/1 0 3 28/1 0 2 29/1 0 3 30/1 0/1 1 6 -0.033333 In -0.046942 -0.019725 31/1 1/0 1 1 -0.032292 In -0.033333 -0.031250 32/1 -2/1 1 6 -0.031596 In -0.045160 -0.018032 33/1 0 3 34/1 0 2 35/1 0 3 36/1 0/1 1 6 -0.027778 In -0.039118 -0.016438 37/1 1/0 1 1 -0.027047 In -0.027778 -0.026316 38/1 -2/1 1 6 -0.026559 In -0.037873 -0.015245 39/1 0 3 40/1 0 2 41/1 0 3 42/1 0/1 1 6 -0.023810 In -0.033530 -0.014089 43/1 1/0 1 1 -0.023268 In -0.023810 -0.022727 44/1 -2/1 1 6 -0.022907 In -0.032611 -0.013204 45/1 0 3 46/1 0 2 47/1 0 3 48/1 0/1 1 6 -0.020833 In -0.029339 -0.012328 49/1 1/0 1 1 -0.020417 In -0.020833 -0.020000 50/1 -2/1 1 6 -0.020139 In -0.028633 -0.011645 -49/2 0 2 -47/2 0 6 -45/2 0 6 -43/2 0 2 -41/2 0 6 -39/2 0 6 -37/2 0 2 -35/2 0 6 -33/2 0 6 -31/2 0 2 -29/2 0 6 -27/2 0 6 -25/2 0 2 -23/2 0 6 -21/2 0 6 -19/2 0 2 -17/2 0 6 -15/2 0 6 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0 3 -10/3 -2/1 1 6 0.298658 In 0.282218 0.315097 -8/3 -2/1 1 6 0.373684 In 0.360792 0.386576 -7/3 0 3 -5/3 0 3 -4/3 0/1 1 6 0.750000 In 0.647938 0.852062 -2/3 0/1 1 6 1.500000 In 1.295876 1.704124 -1/3 0 3 1/3 0 3 2/3 2/1 1 6 -1.700000 In -2.189898 -1.210102 4/3 -4/1 1 6 -0.950000 In -1.439898 -0.460102 5/3 0 3 7/3 0 3 8/3 -2/1 1 6 -0.384211 In -0.474455 -0.293966 10/3 -2/1 1 6 -0.305369 In -0.371127 -0.239611 11/3 0 3 13/3 0 3 14/3 0/1 1 6 -0.214286 In -0.243446 -0.185125 16/3 0/1 1 6 -0.187500 In -0.213016 -0.161984 17/3 0 3 19/3 0 3 20/3 2/1 1 6 -0.149416 In -0.163728 -0.135103 22/3 -4/1 1 6 -0.138504 In -0.167342 -0.109667 23/3 0 3 25/3 0 3 26/3 -2/1 1 6 -0.115992 In -0.135337 -0.096648 28/3 -2/1 1 6 -0.107660 In -0.125379 -0.089940 29/3 0 3 31/3 0 3 32/3 0/1 1 6 -0.093750 In -0.106508 -0.080992 34/3 0/1 1 6 -0.088235 In -0.100243 -0.076228 35/3 0 3 37/3 0 3 38/3 2/1 1 6 -0.078753 In -0.087804 -0.069702 40/3 -4/1 1 6 -0.075543 In -0.088833 -0.062252 41/3 0 3 43/3 0 3 44/3 -2/1 1 6 -0.068378 In -0.078925 -0.057830 46/3 -2/1 1 6 -0.065396 In -0.075431 -0.055360 47/3 0 3 49/3 0 3 50/3 0/1 1 6 -0.060000 In -0.068165 -0.051835 -49/4 0 6 -47/4 0 2 -45/4 0 6 -43/4 0 6 -41/4 0 2 -39/4 0 6 -37/4 0 6 -35/4 0 2 -33/4 0 6 -31/4 0 6 -29/4 0 2 -27/4 0 6 -25/4 0 6 -23/4 0 2 -21/4 0 6 -19/4 0 6 -17/4 0 2 -15/4 0 6 -13/4 0 6 -11/4 0 2 -9/4 0 6 -7/4 0 6 -5/4 0 2 -3/4 0 6 -1/4 0 6 1/4 0 2 3/4 0 6 5/4 0 6 7/4 0 2 9/4 0 6 11/4 0 6 13/4 0 2 15/4 0 6 17/4 0 6 19/4 0 2 21/4 0 6 23/4 0 6 25/4 0 2 27/4 0 6 29/4 0 6 31/4 0 2 33/4 0 6 35/4 0 6 37/4 0 2 39/4 0 6 41/4 0 6 43/4 0 2 45/4 0 6 47/4 0 6 49/4 0 2 -49/5 -1/1 1 1 0.101667 In 0.083333 0.120000 -48/5 -2/1 1 6 0.104052 In 0.097317 0.110787 -47/5 0 3 -46/5 0 2 -44/5 -2/1 1 6 0.113503 In 0.106331 0.120675 -43/5 -1/1 1 1 0.115801 In 0.095238 0.136364 -42/5 0/1 1 6 0.119048 In 0.109327 0.128768 -41/5 0 3 -39/5 0 3 -38/5 -2/1 1 6 0.131409 In 0.123489 0.139329 -37/5 -1/1 1 1 0.134503 In 0.111111 0.157895 -36/5 0/1 1 6 0.138889 In 0.127549 0.150229 -34/5 0 2 -33/5 0 3 -32/5 0/1 1 6 0.156250 In 0.143492 0.169008 -31/5 -1/1 1 1 0.160417 In 0.133333 0.187500 -29/5 0 3 -28/5 0 2 -27/5 0 3 -26/5 4/1 1 6 0.194059 In 0.166169 0.221950 -24/5 -6/1 1 6 0.208772 In 0.204475 0.213069 -23/5 0 3 -22/5 0 2 -21/5 0 3 -19/5 -1/1 1 1 0.261111 In 0.222222 0.300000 -18/5 -2/1 1 6 0.277320 In 0.267219 0.287421 -17/5 0 3 -16/5 0 2 -14/5 -2/1 1 6 0.356655 In 0.348295 0.365015 -13/5 -1/1 1 1 0.380952 In 0.333333 0.428571 -12/5 0/1 1 6 0.416667 In 0.382646 0.450687 -11/5 0 3 -9/5 0 3 -8/5 -2/1 1 6 0.626316 In 0.613424 0.639208 -7/5 -1/1 1 1 0.708333 In 0.666667 0.750000 -6/5 0/1 1 6 0.833333 In 0.765292 0.901375 -4/5 0 2 -3/5 0 3 -2/5 0/1 1 6 2.500000 In 2.295876 2.704124 -1/5 -1/1 1 1 3.000000 Right 1/5 0 3 2/5 0 2 3/5 0 3 4/5 4/1 1 6 -1.450000 In -1.939898 -0.960102 6/5 -6/1 1 6 -1.033333 In -1.523231 -0.543435 7/5 0 3 8/5 0 2 9/5 0 3 11/5 -1/1 1 1 -0.466667 In -0.600000 -0.333333 12/5 -2/1 1 6 -0.420930 In -0.483592 -0.358269 13/5 0 3 14/5 0 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0 3 -46/9 8/1 1 6 0.197277 In 0.174395 0.220158 -44/9 -10/1 1 6 0.205453 In 0.195669 0.215238 -43/9 0 3 -41/9 0 3 -40/9 -4/1 1 6 0.224958 In 0.223936 0.225981 -38/9 -2/1 1 6 0.236721 In 0.231064 0.242378 -37/9 0 3 -35/9 0 3 -34/9 0/1 1 6 0.264706 In 0.252699 0.276713 -32/9 -2/1 1 6 0.281107 In 0.275522 0.286693 -31/9 0 3 -29/9 0 3 -28/9 -2/1 1 6 0.321277 In 0.316065 0.326488 -26/9 -2/1 1 6 0.346002 In 0.341166 0.350838 -25/9 0 3 -23/9 0 3 -22/9 -2/1 1 6 0.408966 In 0.405587 0.412344 -20/9 -2/1 1 6 0.449917 In 0.447872 0.451961 -19/9 0 3 -17/9 0 3 -16/9 0/1 1 6 0.562500 In 0.536984 0.588016 -14/9 0/1 1 6 0.642857 In 0.613697 0.672018 -13/9 0 3 -11/9 0 3 -10/9 0/1 1 6 0.900000 In 0.859175 0.940825 -8/9 0/1 1 6 1.125000 In 1.073969 1.176031 -7/9 0 3 -5/9 0 3 -4/9 0/1 1 6 2.250000 In 2.147938 2.352062 -2/9 -2/1 1 6 5.300000 In 3.340408 7.259592 -1/9 0 3 1/9 0 3 2/9 0/1 1 6 -4.500000 In -4.704124 -4.295876 4/9 2/1 1 6 -2.326087 In -2.698835 -1.953339 5/9 0 3 7/9 0 3 8/9 8/1 1 6 -1.325000 In 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