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 3 -50/1 -16/1 2 3 0.016886 In 0.004968 0.028804 -49/1 -15/1 1 3 0.018917 In 0.010477 0.027356 -48/1 0 3 -47/1 -15/1 1 3 0.019681 In 0.011024 0.028339 -46/1 -14/1 2 3 0.018469 In 0.005308 0.031629 -45/1 1/0 1 3 0.022226 In 0.021941 0.022511 -44/1 -14/1 2 3 0.019202 In 0.005634 0.032770 -43/1 -13/1 1 3 0.021569 In 0.011907 0.031231 -42/1 0 3 -41/1 -13/1 1 3 0.022569 In 0.012619 0.032519 -40/1 -12/1 2 3 0.021277 In 0.006076 0.036477 -39/1 1/0 1 3 0.025647 In 0.025267 0.026026 -38/1 -12/1 2 3 0.022255 In 0.006507 0.038004 -37/1 -11/1 1 3 0.025088 In 0.013790 0.036386 -36/1 0 3 -35/1 -11/1 1 3 0.026449 In 0.014753 0.038146 -34/1 -10/1 2 3 0.025092 In 0.007103 0.043081 -33/1 1/0 1 3 0.030312 In 0.029782 0.030843 -32/1 -10/1 2 3 0.026462 In 0.007699 0.045226 -31/1 -9/1 1 3 0.029979 In 0.016379 0.043578 -30/1 0 3 -29/1 -9/1 1 3 0.031941 In 0.017756 0.046127 -28/1 -8/1 2 3 0.030576 In 0.008548 0.052603 -27/1 1/0 1 3 0.037054 In 0.036262 0.037846 -26/1 -8/1 2 3 0.032632 In 0.009426 0.055837 -25/1 -7/1 1 3 0.037240 In 0.020166 0.054314 -24/1 0 3 -23/1 -7/1 1 3 0.040312 In 0.022293 0.058331 -22/1 -6/1 2 3 0.039130 In 0.010731 0.067530 -21/1 1/0 1 3 0.047655 In 0.046345 0.048965 -20/1 -6/1 2 3 0.042553 In 0.012152 0.072955 -19/1 -5/1 1 3 0.049149 In 0.026230 0.072069 -18/1 0 3 -17/1 -5/1 1 3 0.054632 In 0.029947 0.079317 -16/1 -4/1 2 3 0.054348 In 0.014410 0.094285 -15/1 1/0 1 3 0.066766 In 0.064196 0.069335 -14/1 -4/1 2 3 0.061151 In 0.017096 0.105207 -13/1 -3/1 1 3 0.072289 In 0.037509 0.107069 -12/1 0 3 -11/1 -3/1 1 3 0.084746 In 0.045603 0.123888 -10/1 -2/1 2 3 0.089041 In 0.021932 0.156150 -9/1 1/0 1 3 0.111570 In 0.104413 0.118727 -8/1 -2/1 2 3 0.108696 In 0.028821 0.188570 -7/1 -1/1 1 3 0.136986 In 0.065806 0.208166 -6/1 0 3 -5/1 -1/1 1 3 0.189189 In 0.095565 0.282814 -4/1 0/1 2 3 0.250000 In 0.045876 0.454124 -3/1 1/0 1 3 0.346154 In 0.279537 0.412771 -2/1 0/1 2 3 0.500000 In 0.091752 0.908248 -1/1 1/1 1 3 2.000000 In 0.267949 3.732051 0/1 0 3 1/1 1/1 1 3 2/1 2/1 2 3 3/1 1/0 1 3 -0.346154 In -0.412771 -0.279537 4/1 2/1 2 3 -0.200000 In -0.322474 -0.077526 5/1 3/1 1 3 -0.181818 In -0.234305 -0.129332 6/1 0 3 7/1 3/1 1 3 -0.130435 In -0.180639 -0.080230 8/1 4/1 2 3 -0.100000 In -0.161237 -0.038763 9/1 1/0 1 3 -0.111570 In -0.118727 -0.104413 10/1 4/1 2 3 -0.082090 In -0.136929 -0.027250 11/1 5/1 1 3 -0.082840 In -0.113587 -0.052094 12/1 0 3 13/1 5/1 1 3 -0.070539 In -0.099287 -0.041792 14/1 6/1 2 3 -0.058140 In -0.096116 -0.020163 15/1 1/0 1 3 -0.066766 In -0.069335 -0.064196 16/1 6/1 2 3 -0.051724 In -0.086918 -0.016530 17/1 7/1 1 3 -0.053790 In -0.074964 -0.032616 18/1 0 3 19/1 7/1 1 3 -0.048356 In -0.068457 -0.028255 20/1 8/1 2 3 -0.041045 In -0.068464 -0.013625 21/1 1/0 1 3 -0.047655 In -0.048965 -0.046345 22/1 8/1 2 3 -0.037764 In -0.063665 -0.011863 23/1 9/1 1 3 -0.039841 In -0.055942 -0.023739 24/1 0 3 25/1 9/1 1 3 -0.036789 In -0.052237 -0.021342 26/1 10/1 2 3 -0.031729 In -0.053168 -0.010289 27/1 1/0 1 3 -0.037054 In -0.037846 -0.036262 28/1 10/1 2 3 -0.029740 In -0.050228 -0.009251 29/1 11/1 1 3 -0.031640 In -0.044620 -0.018661 30/1 0 3 31/1 11/1 1 3 -0.029689 In -0.042231 -0.017147 32/1 12/1 2 3 -0.025862 In -0.043459 -0.008265 33/1 1/0 1 3 -0.030312 In -0.030843 -0.029782 34/1 12/1 2 3 -0.024528 In -0.041474 -0.007582 35/1 13/1 1 3 -0.026241 In -0.037109 -0.015372 36/1 0 3 37/1 13/1 1 3 -0.024886 In -0.035442 -0.014330 38/1 14/1 2 3 -0.021827 In -0.036748 -0.006907 39/1 1/0 1 3 -0.025647 In -0.026026 -0.025267 40/1 14/1 2 3 -0.020871 In -0.035319 -0.006423 41/1 15/1 1 3 -0.022416 In -0.031763 -0.013069 42/1 0 3 43/1 15/1 1 3 -0.021421 In -0.030533 -0.012308 44/1 16/1 2 3 -0.018882 In -0.031833 -0.005932 45/1 1/0 1 3 -0.022226 In -0.022511 -0.021941 46/1 16/1 2 3 -0.018163 In -0.030755 -0.005572 47/1 17/1 1 3 -0.019565 In -0.027763 -0.011366 48/1 0 3 49/1 17/1 1 3 -0.018802 In -0.026819 -0.010786 50/1 18/1 2 3 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In 0.187750 0.401291 -5/2 -1/1 1 3 0.391892 In 0.321674 0.462110 -3/2 1/2 1 3 0.769231 In 0.236292 1.302169 -1/2 1/1 1 3 3.500000 In 0.901924 6.098076 1/2 1/1 1 3 -2.500000 In -3.366025 -1.633975 3/2 3/2 1 3 5/2 3/1 1 3 -0.409091 In -0.435334 -0.382848 7/2 1/1 1 3 -0.280822 In -0.340139 -0.221505 9/2 5/2 1 3 -0.201835 In -0.265396 -0.138273 11/2 3/1 1 3 -0.177966 In -0.202430 -0.153502 13/2 3/1 1 3 -0.150602 In -0.174949 -0.126256 15/2 7/2 1 3 -0.121406 In -0.165675 -0.077136 17/2 5/1 1 3 -0.115202 In -0.129601 -0.100802 19/2 3/1 1 3 -0.103352 In -0.124317 -0.082387 21/2 9/2 1 3 -0.086957 In -0.120426 -0.053487 23/2 5/1 1 3 -0.085147 In -0.099563 -0.070732 25/2 5/1 1 3 -0.078378 In -0.092422 -0.064335 27/2 11/2 1 3 -0.067764 In -0.094591 -0.040936 29/2 7/1 1 3 -0.067502 In -0.078004 -0.057001 31/2 5/1 1 3 -0.063331 In -0.076058 -0.050604 33/2 13/2 1 3 -0.055520 In -0.077883 -0.033156 35/2 7/1 1 3 -0.055985 In -0.066016 -0.045953 37/2 7/1 1 3 -0.052982 In -0.062799 -0.043165 39/2 15/2 1 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In 0.159389 0.398622 -10/3 0 3 -8/3 0 3 -7/3 -1/2 1 3 0.417808 In 0.287311 0.548305 -5/3 1/2 1 3 0.635135 In 0.330856 0.939414 -4/3 0 3 -2/3 0 3 -1/3 1/0 1 3 4.500000 In 1.901924 7.098076 1/3 1/0 1 3 -4.500000 In -7.098076 -1.901924 2/3 0 3 4/3 0 3 5/3 3/2 1 3 -0.590909 In -0.617152 -0.564666 7/3 5/2 1 3 -0.434426 In -0.448623 -0.420229 8/3 0 3 10/3 0 3 11/3 3/2 1 3 -0.262712 In -0.326318 -0.199105 13/3 5/2 1 3 -0.221992 In -0.261520 -0.182464 14/3 0 3 16/3 0 3 17/3 1/0 1 3 -0.176674 In -0.182675 -0.170674 19/3 1/0 1 3 -0.158041 In -0.162843 -0.153238 20/3 0 3 22/3 0 3 23/3 7/2 1 3 -0.125488 In -0.153642 -0.097333 25/3 9/2 1 3 -0.115385 In -0.137590 -0.093179 26/3 0 3 28/3 0 3 29/3 7/2 1 3 -0.099838 In -0.125742 -0.073935 31/3 9/2 1 3 -0.093148 In -0.114783 -0.071513 32/3 0 3 34/3 0 3 35/3 1/0 1 3 -0.085738 In -0.087152 -0.084323 37/3 1/0 1 3 -0.081101 In -0.082366 -0.079835 38/3 0 3 40/3 0 3 41/3 11/2 1 3 -0.070500 In -0.087743 -0.053257 43/3 13/2 1 3 -0.067125 In -0.082262 -0.051988 44/3 0 3 46/3 0 3 47/3 11/2 1 3 -0.061635 In -0.077875 -0.045396 49/3 13/2 1 3 -0.058999 In -0.073527 -0.044471 50/3 0 3 -49/4 -3/1 1 3 0.081318 In 0.072410 0.090226 -47/4 -3/1 1 3 0.084769 In 0.075609 0.093929 -45/4 1/0 1 3 0.088904 In 0.087763 0.090044 -43/4 -3/1 1 3 0.092633 In 0.082937 0.102328 -41/4 -7/3 1 3 0.094313 In 0.061365 0.127262 -39/4 -3/2 1 3 0.101449 In 0.076347 0.126551 -37/4 -1/1 1 3 0.107891 In 0.093970 0.121811 -35/4 -3/1 1 3 0.113748 In 0.102881 0.124615 -33/4 -5/2 1 3 0.119062 In 0.094487 0.143638 -31/4 -5/3 1 3 0.124913 In 0.080672 0.169153 -29/4 -1/1 1 3 0.137589 In 0.120420 0.154759 -27/4 1/0 1 3 0.148216 In 0.145047 0.151385 -25/4 -1/1 1 3 0.159552 In 0.140142 0.178961 -23/4 -1/1 1 3 0.173392 In 0.152643 0.194142 -21/4 1/0 1 3 0.190620 In 0.185380 0.195861 -19/4 -1/1 1 3 0.209797 In 0.185785 0.233808 -17/4 -1/3 1 3 0.232102 In 0.138099 0.326104 -15/4 1/2 1 3 0.270030 In 0.182656 0.357403 -13/4 1/1 1 3 0.310277 In 0.252085 0.368468 -11/4 -1/1 1 3 0.361878 In 0.328386 0.395371 -9/4 -1/2 1 3 0.438017 In 0.337815 0.538218 -7/4 1/3 1 3 0.595890 In 0.299306 0.892474 -5/4 1/1 1 3 0.824324 In 0.613669 1.034979 -3/4 1/0 1 3 1.384615 In 1.118146 1.651085 -1/4 1/1 1 3 6.500000 In 2.169873 10.830127 1/4 1/1 1 3 -5.500000 In -8.098076 -2.901924 3/4 1/0 1 3 -1.384615 In -1.651085 -1.118146 5/4 1/1 1 3 -0.797297 In -0.820703 -0.773891 7/4 5/3 1 3 -0.565574 In -0.579771 -0.551377 9/4 5/2 1 3 -0.449541 In -0.465432 -0.433651 11/4 3/1 1 3 -0.364407 In -0.369300 -0.359514 13/4 1/1 1 3 -0.306324 In -0.337131 -0.275517 15/4 3/2 1 3 -0.261261 In -0.308073 -0.214449 17/4 7/3 1 3 -0.223716 In -0.272417 -0.175016 19/4 3/1 1 3 -0.209497 In -0.220786 -0.198208 21/4 1/0 1 3 -0.190620 In -0.195861 -0.185380 23/4 3/1 1 3 -0.173004 In -0.185078 -0.160930 25/4 3/1 1 3 -0.159164 In -0.171231 -0.147097 27/4 1/0 1 3 -0.148216 In -0.151385 -0.145047 29/4 3/1 1 3 -0.137232 In -0.148944 -0.125519 31/4 11/3 1 3 -0.122737 In -0.153465 -0.092009 33/4 9/2 1 3 -0.118644 In 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