SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 28 -50/1 1/1 1 14 0.020029 In 0.014577 0.025481 -49/1 1/1 2 4 0.020621 In 0.005892 0.035349 -48/1 0 7 -47/1 1/2 1 28 0.021309 In 0.013182 0.029437 -46/1 1/1 1 14 0.021774 In 0.015837 0.027710 -45/1 1/0 1 28 0.022223 In 0.022129 0.022316 -44/1 0 7 -43/1 1/2 1 28 0.023295 In 0.014403 0.032187 -42/1 1/1 2 2 0.024390 In 0.000000 0.048780 -41/1 1/0 1 28 0.024391 In 0.024278 0.024503 -40/1 0 7 -39/1 3/2 1 28 0.025787 In 0.015721 0.035854 -38/1 1/1 1 14 0.026367 In 0.019148 0.033585 -37/1 1/0 1 28 0.027028 In 0.026890 0.027166 -36/1 0 7 -35/1 1/1 2 4 0.028991 In 0.008203 0.049780 -34/1 1/1 1 14 0.029475 In 0.021383 0.037568 -33/1 1/0 1 28 0.030304 In 0.030130 0.030478 -32/1 0 7 -31/1 1/0 1 28 0.032259 In 0.032063 0.032456 -30/1 1/1 1 14 0.033415 In 0.024209 0.042622 -29/1 1/2 1 28 0.034569 In 0.021311 0.047828 -28/1 1/1 2 1 0.038363 In -0.014082 0.090808 -27/1 3/2 1 28 0.037347 In 0.022565 0.052130 -26/1 1/1 1 14 0.038571 In 0.027896 0.049247 -25/1 1/0 1 28 0.040002 In 0.039700 0.040305 -24/1 0 7 -23/1 1/0 1 28 0.043481 In 0.043124 0.043838 -22/1 1/1 1 14 0.045609 In 0.032907 0.058311 -21/1 1/1 2 4 0.048808 In 0.013493 0.084123 -20/1 0 7 -19/1 1/0 1 28 0.052637 In 0.052113 0.053160 -18/1 1/1 1 14 0.055788 In 0.040112 0.071464 -17/1 1/2 1 28 0.059078 In 0.036188 0.081968 -16/1 0 7 -15/1 1/0 1 28 0.066677 In 0.065837 0.067517 -14/1 1/1 2 2 0.076923 In 0.000000 0.153846 -13/1 3/2 1 28 0.078340 In 0.045849 0.110831 -12/1 0 7 -11/1 1/0 1 28 0.090936 In 0.089374 0.092498 -10/1 1/1 1 14 0.100786 In 0.071367 0.130206 -9/1 3/2 1 28 0.114210 In 0.065019 0.163400 -8/1 0 7 -7/1 1/1 2 4 0.154639 In 0.038003 0.271275 -6/1 1/1 1 14 0.168986 In 0.116915 0.221057 -5/1 1/0 1 28 0.200286 In 0.192716 0.207856 -4/1 0 7 -3/1 1/0 1 28 0.334661 In 0.313580 0.355743 -2/1 1/1 1 14 0.527273 In 0.323182 0.731363 -1/1 1/0 1 28 1.037037 In 0.841055 1.233019 0/1 0 1 1/1 1/0 1 28 -1.037037 In -1.233019 -0.841055 2/1 1/1 1 14 -0.490909 In -0.558939 -0.422879 3/1 1/0 1 28 -0.334661 In -0.355743 -0.313580 4/1 0 7 5/1 1/0 1 28 -0.200286 In -0.207856 -0.192716 6/1 1/1 1 14 -0.165010 In -0.202203 -0.127817 7/1 1/1 2 4 -0.134021 In -0.221498 -0.046543 8/1 0 7 9/1 1/2 1 28 -0.110278 In -0.149958 -0.070597 10/1 1/1 1 14 -0.099357 In -0.123427 -0.075286 11/1 1/0 1 28 -0.090936 In -0.092498 -0.089374 12/1 0 7 13/1 1/2 1 28 -0.076517 In -0.104478 -0.048555 14/1 1/1 2 2 -0.066667 In -0.133333 0.000000 15/1 1/0 1 28 -0.066677 In -0.067517 -0.065837 16/1 0 7 17/1 3/2 1 28 -0.058147 In -0.078441 -0.037853 18/1 1/1 1 14 -0.055347 In -0.069373 -0.041321 19/1 1/0 1 28 -0.052637 In -0.053160 -0.052113 20/1 0 7 21/1 1/1 2 4 -0.046538 In -0.078643 -0.014433 22/1 1/1 1 14 -0.045314 In -0.056911 -0.033716 23/1 1/0 1 28 -0.043481 In -0.043838 -0.043124 24/1 0 7 25/1 1/0 1 28 -0.040002 In -0.040305 -0.039700 26/1 1/1 1 14 -0.038360 In -0.048245 -0.028475 27/1 1/2 1 28 -0.036941 In -0.050681 -0.023201 28/1 1/1 2 1 -0.033248 In -0.082076 0.015580 29/1 3/2 1 28 -0.034241 In -0.046605 -0.021877 30/1 1/1 1 14 -0.033257 In -0.041869 -0.024644 31/1 1/0 1 28 -0.032259 In -0.032456 -0.032063 32/1 0 7 33/1 1/0 1 28 -0.030304 In -0.030478 -0.030130 34/1 1/1 1 14 -0.029352 In -0.036982 -0.021722 35/1 1/1 2 4 -0.028175 In -0.047809 -0.008541 36/1 0 7 37/1 1/0 1 28 -0.027028 In -0.027166 -0.026890 38/1 1/1 1 14 -0.026268 In -0.033116 -0.019419 39/1 1/2 1 28 -0.025595 In -0.035162 -0.016027 40/1 0 7 41/1 1/0 1 28 -0.024391 In -0.024503 -0.024278 42/1 1/1 2 2 -0.023256 In -0.046512 0.000000 43/1 3/2 1 28 -0.023144 In -0.031629 -0.014659 44/1 0 7 45/1 1/0 1 28 -0.022223 In -0.022316 -0.022129 46/1 1/1 1 14 -0.021706 In -0.027390 -0.016022 47/1 3/2 1 28 -0.021183 In -0.028969 -0.013396 48/1 0 7 49/1 1/1 2 4 -0.020204 In -0.034343 -0.006065 50/1 1/1 1 14 -0.019972 In -0.025210 -0.014734 -49/2 1/0 1 4 0.040821 In 0.040404 0.041237 -47/2 0 28 -45/2 0 28 -43/2 0 28 -41/2 0 28 -39/2 0 28 -37/2 0 28 -35/2 1/0 1 4 0.057155 In 0.056338 0.057971 -33/2 0 28 -31/2 0 28 -29/2 0 28 -27/2 0 28 -25/2 0 28 -23/2 0 28 -21/2 1/0 1 4 0.095292 In 0.093023 0.097561 -19/2 0 28 -17/2 0 28 -15/2 0 28 -13/2 0 28 -11/2 0 28 -9/2 0 28 -7/2 1/0 1 4 0.287179 In 0.266667 0.307692 -5/2 0 28 -3/2 0 28 -1/2 0 28 1/2 0 28 3/2 0 28 5/2 0 28 7/2 1/0 1 4 -0.287179 In -0.307692 -0.266667 9/2 0 28 11/2 0 28 13/2 0 28 15/2 0 28 17/2 0 28 19/2 0 28 21/2 1/0 1 4 -0.095292 In -0.097561 -0.093023 23/2 0 28 25/2 0 28 27/2 0 28 29/2 0 28 31/2 0 28 33/2 0 28 35/2 1/0 1 4 -0.057155 In -0.057971 -0.056338 37/2 0 28 39/2 0 28 41/2 0 28 43/2 0 28 45/2 0 28 47/2 0 28 49/2 1/0 1 4 -0.040821 In -0.041237 -0.040404 -50/3 1/1 1 14 0.060030 In 0.054364 0.065696 -49/3 1/1 1 4 0.061335 In 0.050505 0.072165 -47/3 1/0 1 28 0.063831 In 0.063574 0.064087 -46/3 -1/1 1 14 0.065186 In 0.059755 0.070617 -44/3 0/1 1 7 0.068182 In 0.059592 0.076772 -43/3 1/2 1 28 0.069807 In 0.060711 0.078904 -41/3 5/4 1 28 0.073635 In 0.053500 0.093769 -40/3 2/1 1 7 0.075205 In 0.064335 0.086076 -38/3 1/1 1 14 0.079001 In 0.071412 0.086590 -37/3 1/0 1 28 0.081083 In 0.080669 0.081497 -35/3 1/1 1 4 0.085936 In 0.070423 0.101449 -34/3 1/1 1 14 0.088303 In 0.079748 0.096857 -32/3 2/1 1 7 0.094082 In 0.080048 0.108115 -31/3 1/0 1 28 0.096778 In 0.096188 0.097368 -29/3 1/2 1 28 0.103538 In 0.089830 0.117246 -28/3 1/1 6 1 0.115681 In 0.018079 0.213283 -26/3 5/3 1 14 0.117279 In 0.080414 0.154145 -25/3 1/0 1 28 0.120007 In 0.119100 0.120914 -23/3 1/0 1 28 0.130444 In 0.129372 0.131515 -22/3 1/1 1 14 0.136531 In 0.122725 0.150338 -20/3 2/1 1 7 0.150930 In 0.126327 0.175533 -19/3 1/0 1 28 0.157910 In 0.156340 0.159481 -17/3 3/4 1 28 0.178152 In 0.127744 0.228559 -16/3 2/1 1 7 0.189038 In 0.156484 0.221592 -14/3 1/1 2 2 0.220513 In 0.133333 0.307692 -13/3 7/4 1 28 0.239163 In 0.156677 0.321648 -11/3 1/0 1 28 0.272808 In 0.268121 0.277495 -10/3 1/1 1 14 0.300929 In 0.266160 0.335698 -8/3 0/1 1 7 0.375000 In 0.327754 0.422246 -7/3 1/1 1 4 0.435897 In 0.333333 0.538462 -5/3 1/0 1 28 0.600858 In 0.578148 0.623569 -4/3 2/1 1 7 0.796296 In 0.551319 1.041273 -2/3 1/1 1 14 1.545455 In 1.205304 1.885605 -1/3 1/0 1 28 3.111111 In 2.523166 3.699056 1/3 1/0 1 28 -3.111111 In -3.699056 -2.523166 2/3 1/1 1 14 -1.509091 In -1.577121 -1.441061 4/3 0/1 1 7 -0.750000 In -0.844491 -0.655509 5/3 1/0 1 28 -0.600858 In -0.623569 -0.578148 7/3 1/1 1 4 -0.425641 In -0.466667 -0.384615 8/3 2/1 1 7 -0.373874 In -0.385792 -0.361956 10/3 1/1 1 14 -0.299500 In -0.318221 -0.280778 11/3 1/0 1 28 -0.272808 In -0.277495 -0.268121 13/3 1/4 1 28 -0.229973 In -0.284778 -0.175167 14/3 1/1 2 2 -0.210256 In -0.266667 -0.153846 16/3 0/1 1 7 -0.187500 In -0.211123 -0.163877 17/3 5/4 1 28 -0.174538 In -0.209303 -0.139773 19/3 1/0 1 28 -0.157910 In -0.159481 -0.156340 20/3 0/1 1 7 -0.150000 In -0.168898 -0.131102 22/3 1/1 1 14 -0.136236 In -0.146729 -0.125743 23/3 1/0 1 28 -0.130444 In -0.131515 -0.129372 25/3 1/0 1 28 -0.120007 In -0.120914 -0.119100 26/3 1/3 1 14 -0.115080 In -0.144735 -0.085425 28/3 1/1 6 1 -0.100257 In -0.178968 -0.021546 29/3 3/2 1 28 -0.103233 In -0.114248 -0.092218 31/3 1/0 1 28 -0.096778 In -0.097368 -0.096188 32/3 0/1 1 7 -0.093750 In -0.105561 -0.081939 34/3 1/1 1 14 -0.088179 In -0.095346 -0.081011 35/3 1/1 1 4 -0.085528 In -0.098592 -0.072464 37/3 1/0 1 28 -0.081083 In -0.081497 -0.080669 38/3 1/1 1 14 -0.078902 In -0.085380 -0.072424 40/3 0/1 1 7 -0.075000 In -0.084449 -0.065551 41/3 3/4 1 28 -0.072930 In -0.090359 -0.055501 43/3 3/2 1 28 -0.069664 In -0.077535 -0.061792 44/3 2/1 1 7 -0.068054 In -0.075475 -0.060633 46/3 3/1 1 14 -0.065136 In -0.069811 -0.060461 47/3 1/0 1 28 -0.063831 In -0.064087 -0.063574 49/3 1/1 1 4 -0.061127 In -0.070707 -0.051546 50/3 1/1 1 14 -0.059973 In -0.064998 -0.054948 -49/4 1/1 2 4 0.081858 In 0.066246 0.097470 -47/4 0 28 -45/4 0 28 -43/4 0 28 -41/4 0 28 -39/4 0 28 -37/4 0 28 -35/4 1/1 2 4 0.114741 In 0.092220 0.137262 -33/4 0 28 -31/4 0 28 -29/4 0 28 -27/4 0 28 -25/4 0 28 -23/4 0 28 -21/4 1/1 2 4 0.191827 In 0.151697 0.231958 -19/4 0 28 -17/4 0 28 -15/4 0 28 -13/4 0 28 -11/4 0 28 -9/4 0 28 -7/4 1/1 2 4 0.587629 In 0.427254 0.748004 -5/4 0 28 -3/4 0 28 -1/4 0 28 1/4 0 28 3/4 0 28 5/4 0 28 7/4 1/1 2 4 -0.567010 In -0.610749 -0.523272 9/4 0 28 11/4 0 28 13/4 0 28 15/4 0 28 17/4 0 28 19/4 0 28 21/4 1/1 2 4 -0.189557 In -0.216846 -0.162268 23/4 0 28 25/4 0 28 27/4 0 28 29/4 0 28 31/4 0 28 33/4 0 28 35/4 1/1 2 4 -0.113924 In -0.131825 -0.096023 37/4 0 28 39/4 0 28 41/4 0 28 43/4 0 28 45/4 0 28 47/4 0 28 49/4 1/1 2 4 -0.081441 In -0.094697 -0.068186 -49/5 0/1 1 4 0.102041 In 0.091837 0.112245 -48/5 2/3 1 7 0.104565 In 0.079295 0.129834 -47/5 9/10 1 28 0.107979 In 0.063863 0.152096 -46/5 1/1 1 14 0.108733 In 0.102291 0.115175 -44/5 2/1 1 7 0.113818 In 0.103272 0.124363 -43/5 9/4 1 28 0.117158 In 0.094944 0.139372 -42/5 1/0 3 2 0.119149 In 0.115674 0.122623 -41/5 3/2 1 28 0.122102 In 0.111195 0.133009 -39/5 1/0 1 28 0.128208 In 0.127587 0.128829 -38/5 1/1 1 14 0.131635 In 0.123676 0.139594 -37/5 1/2 1 28 0.135191 In 0.124285 0.146097 -36/5 2/3 1 7 0.139612 In 0.105183 0.174040 -34/5 1/1 1 14 0.147130 In 0.138113 0.156147 -33/5 3/2 1 28 0.151757 In 0.137696 0.165817 -32/5 2/1 1 7 0.156616 In 0.141105 0.172128 -31/5 1/0 1 28 0.161296 In 0.160313 0.162280 -29/5 1/0 1 28 0.172421 In 0.171298 0.173545 -28/5 1/1 8 1 0.190722 In 0.070441 0.311003 -27/5 3/2 1 28 0.185561 In 0.167666 0.203456 -26/5 7/5 1 14 0.197026 In 0.131453 0.262599 -24/5 0/1 1 7 0.208333 In 0.192585 0.224082 -23/5 3/2 1 28 0.217929 In 0.196124 0.239734 -22/5 1/1 1 14 0.227454 In 0.212542 0.242365 -21/5 2/1 1 4 0.239773 In 0.204545 0.275000 -19/5 1/0 1 28 0.263184 In 0.260566 0.265802 -18/5 3/1 1 14 0.278993 In 0.251718 0.306268 -17/5 3/2 1 28 0.295187 In 0.263110 0.327265 -16/5 2/1 1 7 0.314318 In 0.275845 0.352791 -14/5 1/0 3 2 0.359897 In 0.328413 0.391382 -13/5 1/2 1 28 0.385119 In 0.350447 0.419792 -12/5 0/1 1 7 0.416667 In 0.385170 0.448164 -11/5 1/2 1 28 0.455270 In 0.413088 0.497452 -9/5 1/0 1 28 0.555801 In 0.544130 0.567471 -8/5 2/1 1 7 0.635135 In 0.527875 0.742395 -7/5 2/1 1 4 0.739583 In 0.562500 0.916667 -6/5 3/1 1 14 0.854545 In 0.695808 1.013282 -4/5 0/1 1 7 1.250000 In 1.155509 1.344491 -3/5 1/0 1 28 1.673307 In 1.567898 1.778715 -2/5 1/1 1 14 2.563636 In 2.087425 3.039847 -1/5 1/0 1 28 5.185185 In 4.205277 6.165093 1/5 1/0 1 28 -5.185185 In -6.165093 -4.205277 2/5 1/1 1 14 -2.527273 In -2.731363 -2.323182 3/5 1/0 1 28 -1.673307 In -1.778715 -1.567898 4/5 2/1 1 7 -1.277778 In -1.424764 -1.130792 6/5 -1/1 1 14 -0.836978 In -0.918804 -0.755153 7/5 0/1 1 4 -0.714286 In -0.785714 -0.642857 8/5 0/1 1 7 -0.625000 In -0.672246 -0.577754 9/5 1/0 1 28 -0.555801 In -0.567471 -0.544130 11/5 3/2 1 28 -0.453980 In -0.464942 -0.443018 12/5 2/1 1 7 -0.416335 In -0.421605 -0.411064 13/5 3/2 1 28 -0.384078 In -0.396402 -0.371754 14/5 1/0 3 2 -0.359897 In -0.391382 -0.328413 16/5 0/1 1 7 -0.312500 In -0.336123 -0.288877 17/5 1/2 1 28 -0.293907 In -0.312873 -0.274941 18/5 -1/1 1 14 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