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 1 -50/1 0 30 -49/1 0 30 -48/1 0 30 -47/1 0 30 -46/1 0 30 -45/1 0 30 -44/1 0 30 -43/1 0 30 -42/1 0 30 -41/1 0 30 -40/1 0 30 -39/1 0 30 -38/1 0 30 -37/1 0 30 -36/1 0 30 -35/1 0 30 -34/1 0 30 -33/1 0 30 -32/1 0 30 -31/1 0 30 -30/1 0 30 -29/1 0 30 -28/1 0 30 -27/1 0 30 -26/1 0 30 -25/1 0 30 -24/1 0 30 -23/1 0 30 -22/1 0 30 -21/1 0 30 -20/1 0 30 -19/1 0 30 -18/1 0 30 -17/1 0 30 -16/1 0 30 -15/1 0 30 -14/1 0 30 -13/1 0 30 -12/1 0 30 -11/1 0 30 -10/1 0 30 -9/1 0 30 -8/1 0 30 -7/1 0 30 -6/1 0 30 -5/1 0 30 -4/1 0 30 -3/1 0 30 -2/1 0 30 -1/1 0 30 0/1 0 30 1/1 0 30 2/1 0 30 3/1 0 30 4/1 0 30 5/1 0 30 6/1 0 30 7/1 0 30 8/1 0 30 9/1 0 30 10/1 0 30 11/1 0 30 12/1 0 30 13/1 0 30 14/1 0 30 15/1 0 30 16/1 0 30 17/1 0 30 18/1 0 30 19/1 0 30 20/1 0 30 21/1 0 30 22/1 0 30 23/1 0 30 24/1 0 30 25/1 0 30 26/1 0 30 27/1 0 30 28/1 0 30 29/1 0 30 30/1 0 30 31/1 0 30 32/1 0 30 33/1 0 30 34/1 0 30 35/1 0 30 36/1 0 30 37/1 0 30 38/1 0 30 39/1 0 30 40/1 0 30 41/1 0 30 42/1 0 30 43/1 0 30 44/1 0 30 45/1 0 30 46/1 0 30 47/1 0 30 48/1 0 30 49/1 0 30 50/1 0 30 -49/2 1/0 1 15 0.040817 In 0.040602 0.041033 -47/2 1/0 1 15 0.042554 In 0.042321 0.042788 -45/2 1/0 1 15 0.044446 In 0.044191 0.044701 -43/2 1/0 1 15 0.046513 In 0.046234 0.046793 -41/2 1/0 1 15 0.048782 In 0.048475 0.049090 -39/2 1/0 1 15 0.051284 In 0.050945 0.051624 -37/2 1/0 1 15 0.054057 In 0.053679 0.054434 -35/2 1/0 1 15 0.057146 In 0.056724 0.057568 -33/2 1/0 1 15 0.060610 In 0.060136 0.061084 -31/2 1/0 1 15 0.064521 In 0.063983 0.065058 -29/2 1/0 1 15 0.068971 In 0.068357 0.069585 -27/2 1/0 1 15 0.074081 In 0.073372 0.074789 -25/2 1/0 1 15 0.080009 In 0.079182 0.080835 -23/2 1/0 1 15 0.086967 In 0.085991 0.087944 -21/2 1/0 1 15 0.095252 In 0.094081 0.096424 -19/2 1/0 1 15 0.105283 In 0.103852 0.106713 -17/2 1/0 1 15 0.117674 In 0.115887 0.119461 -15/2 1/0 1 15 0.133373 In 0.131077 0.135669 -13/2 1/0 1 15 0.153907 In 0.150850 0.156964 -11/2 1/0 1 15 0.181918 In 0.177648 0.186189 -9/2 1/0 1 15 0.222405 In 0.216025 0.228786 -7/2 1/0 1 15 0.286104 In 0.275550 0.296657 -5/2 1/0 1 15 0.401070 In 0.380358 0.421781 -3/2 1/0 1 15 0.671642 In 0.613836 0.729448 -1/2 1/0 1 15 2.142857 In 1.589574 2.696140 1/2 1/0 1 15 -2.142857 In -2.696140 -1.589574 3/2 1/0 1 15 -0.671642 In -0.729448 -0.613836 5/2 1/0 1 15 -0.401070 In -0.421781 -0.380358 7/2 1/0 1 15 -0.286104 In -0.296657 -0.275550 9/2 1/0 1 15 -0.222405 In -0.228786 -0.216025 11/2 1/0 1 15 -0.181918 In -0.186189 -0.177648 13/2 1/0 1 15 -0.153907 In -0.156964 -0.150850 15/2 1/0 1 15 -0.133373 In -0.135669 -0.131077 17/2 1/0 1 15 -0.117674 In -0.119461 -0.115887 19/2 1/0 1 15 -0.105283 In -0.106713 -0.103852 21/2 1/0 1 15 -0.095252 In -0.096424 -0.094081 23/2 1/0 1 15 -0.086967 In -0.087944 -0.085991 25/2 1/0 1 15 -0.080009 In -0.080835 -0.079182 27/2 1/0 1 15 -0.074081 In -0.074789 -0.073372 29/2 1/0 1 15 -0.068971 In -0.069585 -0.068357 31/2 1/0 1 15 -0.064521 In -0.065058 -0.063983 33/2 1/0 1 15 -0.060610 In -0.061084 -0.060136 35/2 1/0 1 15 -0.057146 In -0.057568 -0.056724 37/2 1/0 1 15 -0.054057 In -0.054434 -0.053679 39/2 1/0 1 15 -0.051284 In -0.051624 -0.050945 41/2 1/0 1 15 -0.048782 In -0.049090 -0.048475 43/2 1/0 1 15 -0.046513 In -0.046793 -0.046234 45/2 1/0 1 15 -0.044446 In -0.044701 -0.044191 47/2 1/0 1 15 -0.042554 In -0.042788 -0.042321 49/2 1/0 1 15 -0.040817 In -0.041033 -0.040602 -50/3 0 10 -49/3 1/0 1 10 0.061227 In 0.060832 0.061622 -47/3 1/0 1 10 0.063833 In 0.063403 0.064262 -46/3 0 10 -44/3 0 10 -43/3 1/0 1 10 0.069771 In 0.069258 0.070284 -41/3 1/0 1 10 0.073175 In 0.072611 0.073739 -40/3 0 10 -38/3 0 10 -37/3 1/0 1 10 0.081087 In 0.080394 0.081780 -35/3 1/0 1 10 0.085721 In 0.084947 0.086496 -34/3 0 10 -32/3 0 10 -31/3 1/0 1 10 0.096784 In 0.095797 0.097772 -29/3 1/0 1 10 0.103461 In 0.102332 0.104589 -28/3 0 10 -26/3 0 10 -25/3 1/0 1 10 0.120019 In 0.118501 0.121537 -23/3 1/0 1 10 0.130459 In 0.128666 0.132253 -22/3 0 10 -20/3 0 10 -19/3 1/0 1 10 0.157938 In 0.155310 0.160567 -17/3 1/0 1 10 0.176532 In 0.173248 0.179815 -16/3 0 10 -14/3 0 10 -13/3 1/0 1 10 0.230906 In 0.225289 0.236523 -11/3 1/0 1 10 0.272953 In 0.265106 0.280800 -10/3 0 10 -8/3 0 10 -7/3 1/0 1 10 0.429448 In 0.410047 0.448848 -5/3 1/0 1 10 0.602410 In 0.564310 0.640509 -4/3 0 10 -2/3 0 10 -1/3 1/0 1 10 3.333333 In 2.279241 4.387426 1/3 1/0 1 10 -3.333333 In -4.387426 -2.279241 2/3 0 10 4/3 0 10 5/3 1/0 1 10 -0.602410 In -0.640509 -0.564310 7/3 1/0 1 10 -0.429448 In -0.448848 -0.410047 8/3 0 10 10/3 0 10 11/3 1/0 1 10 -0.272953 In -0.280800 -0.265106 13/3 1/0 1 10 -0.230906 In -0.236523 -0.225289 14/3 0 10 16/3 0 10 17/3 1/0 1 10 -0.176532 In -0.179815 -0.173248 19/3 1/0 1 10 -0.157938 In -0.160567 -0.155310 20/3 0 10 22/3 0 10 23/3 1/0 1 10 -0.130459 In -0.132253 -0.128666 25/3 1/0 1 10 -0.120019 In -0.121537 -0.118501 26/3 0 10 28/3 0 10 29/3 1/0 1 10 -0.103461 In -0.104589 -0.102332 31/3 1/0 1 10 -0.096784 In -0.097772 -0.095797 32/3 0 10 34/3 0 10 35/3 1/0 1 10 -0.085721 In -0.086496 -0.084947 37/3 1/0 1 10 -0.081087 In -0.081780 -0.080394 38/3 0 10 40/3 0 10 41/3 1/0 1 10 -0.073175 In -0.073739 -0.072611 43/3 1/0 1 10 -0.069771 In -0.070284 -0.069258 44/3 0 10 46/3 0 10 47/3 1/0 1 10 -0.063833 In -0.064262 -0.063403 49/3 1/0 1 10 -0.061227 In -0.061622 -0.060832 50/3 0 10 -49/4 1/0 1 15 0.081635 In 0.081205 0.082065 -47/4 1/0 1 15 0.085109 In 0.084641 0.085577 -45/4 1/0 1 15 0.088892 In 0.088382 0.089402 -43/4 1/0 1 15 0.093027 In 0.092468 0.093585 -41/4 1/0 1 15 0.097565 In 0.096950 0.098179 -39/4 1/0 1 15 0.102569 In 0.101890 0.103248 -37/4 1/0 1 15 0.108113 In 0.107359 0.108868 -35/4 1/0 1 15 0.114292 In 0.113449 0.115135 -33/4 1/0 1 15 0.121220 In 0.120271 0.122168 -31/4 1/0 1 15 0.129041 In 0.127966 0.130116 -29/4 1/0 1 15 0.137942 In 0.136714 0.139170 -27/4 1/0 1 15 0.148162 In 0.146745 0.149579 -25/4 1/0 1 15 0.160017 In 0.158364 0.161670 -23/4 1/0 1 15 0.173935 In 0.171982 0.175888 -21/4 1/0 1 15 0.190505 In 0.188163 0.192847 -19/4 1/0 1 15 0.210565 In 0.207704 0.213427 -17/4 1/0 1 15 0.235348 In 0.231774 0.238923 -15/4 1/0 1 15 0.266746 In 0.262154 0.271337 -13/4 1/0 1 15 0.307814 In 0.301700 0.313927 -11/4 1/0 1 15 0.363837 In 0.355297 0.372377 -9/4 1/0 1 15 0.444811 In 0.432049 0.457572 -7/4 1/0 1 15 0.572207 In 0.551101 0.593313 -5/4 1/0 1 15 0.802139 In 0.760717 0.843561 -3/4 1/0 1 15 1.343284 In 1.227672 1.458895 -1/4 1/0 1 15 4.285714 In 3.179148 5.392281 1/4 1/0 1 15 -4.285714 In -5.392281 -3.179148 3/4 1/0 1 15 -1.343284 In -1.458895 -1.227672 5/4 1/0 1 15 -0.802139 In -0.843561 -0.760717 7/4 1/0 1 15 -0.572207 In -0.593313 -0.551101 9/4 1/0 1 15 -0.444811 In -0.457572 -0.432049 11/4 1/0 1 15 -0.363837 In -0.372377 -0.355297 13/4 1/0 1 15 -0.307814 In -0.313927 -0.301700 15/4 1/0 1 15 -0.266746 In -0.271337 -0.262154 17/4 1/0 1 15 -0.235348 In -0.238923 -0.231774 19/4 1/0 1 15 -0.210565 In -0.213427 -0.207704 21/4 1/0 1 15 -0.190505 In -0.192847 -0.188163 23/4 1/0 1 15 -0.173935 In -0.175888 -0.171982 25/4 1/0 1 15 -0.160017 In -0.161670 -0.158364 27/4 1/0 1 15 -0.148162 In -0.149579 -0.146745 29/4 1/0 1 15 -0.137942 In -0.139170 -0.136714 31/4 1/0 1 15 -0.129041 In -0.130116 -0.127966 33/4 1/0 1 15 -0.121220 In -0.122168 -0.120271 35/4 1/0 1 15 -0.114292 In -0.115135 -0.113449 37/4 1/0 1 15 -0.108113 In -0.108868 -0.107359 39/4 1/0 1 15 -0.102569 In -0.103248 -0.101890 41/4 1/0 1 15 -0.097565 In -0.098179 -0.096950 43/4 1/0 1 15 -0.093027 In -0.093585 -0.092468 45/4 1/0 1 15 -0.088892 In -0.089402 -0.088382 47/4 1/0 1 15 -0.085109 In -0.085577 -0.084641 49/4 1/0 1 15 -0.081635 In -0.082065 -0.081205 -49/5 -10/1 1 6 0.102055 In 0.101884 0.102226 -48/5 -10/1 2 6 0.104228 In 0.103719 0.104736 -47/5 -10/1 3 6 0.106531 In 0.105548 0.107513 -46/5 -10/1 2 6 0.108835 In 0.107726 0.109944 -44/5 -8/1 2 6 0.113510 In 0.112304 0.114716 -43/5 -8/1 3 6 0.116125 In 0.114958 0.117293 -42/5 -8/1 2 6 0.118975 In 0.118312 0.119637 -41/5 -8/1 1 6 0.121932 In 0.121687 0.122176 -39/5 -8/1 1 6 0.128228 In 0.127957 0.128498 -38/5 -8/1 2 6 0.131678 In 0.130866 0.132489 -37/5 -8/1 3 6 0.135378 In 0.133791 0.136964 -36/5 -8/1 2 6 0.139121 In 0.137310 0.140933 -34/5 -6/1 2 6 0.146853 In 0.144834 0.148872 -33/5 -6/1 3 6 0.151261 In 0.149280 0.153241 -32/5 -6/1 2 6 0.156126 In 0.154985 0.157267 -31/5 -6/1 1 6 0.161257 In 0.160829 0.161684 -29/5 -6/1 1 6 0.172455 In 0.171966 0.172944 -28/5 -6/1 2 6 0.178756 In 0.177261 0.180252 -27/5 -6/1 3 6 0.185654 In 0.182670 0.188638 -26/5 -6/1 2 6 0.192771 In 0.189293 0.196249 -24/5 -4/1 2 6 0.207944 In 0.203897 0.211991 -23/5 -4/1 3 6 0.216891 In 0.212819 0.220962 -22/5 -4/1 2 6 0.227019 In 0.224607 0.229432 -21/5 -4/1 1 6 0.238023 In 0.237091 0.238954 -19/5 -4/1 1 6 0.263256 In 0.262117 0.264395 -18/5 -4/1 2 6 0.278243 In 0.274619 0.281866 -17/5 -4/1 3 6 0.295374 In 0.287824 0.302923 -16/5 -4/1 2 6 0.313830 In 0.304617 0.323043 -14/5 -2/1 2 6 0.356164 In 0.344301 0.368028 -13/5 -2/1 3 6 0.383234 In 0.370531 0.395936 -12/5 -2/1 2 6 0.415888 In 0.407794 0.423982 -11/5 -2/1 1 6 0.454294 In 0.450901 0.457686 -9/5 -2/1 1 6 0.556017 In 0.550935 0.561099 -8/5 -2/1 2 6 0.627660 In 0.609234 0.646086 -7/5 -2/1 3 6 0.723404 In 0.678270 0.768539 -6/5 -2/1 2 6 0.846154 In 0.779537 0.912771 -4/5 0/1 2 6 1.250000 In 1.105662 1.394338 -3/5 0/1 3 6 1.666667 In 1.430964 1.902369 -2/5 0/1 2 6 2.500000 In 2.211325 2.788675 -1/5 0/1 1 6 5.000000 In 4.591752 5.408248 1/5 0/1 1 6 -5.000000 In -5.408248 -4.591752 2/5 0/1 2 6 -2.500000 In -2.788675 -2.211325 3/5 0/1 3 6 -1.666667 In -1.902369 -1.430964 4/5 0/1 2 6 -1.250000 In -1.394338 -1.105662 6/5 2/1 2 6 -0.846154 In -0.912771 -0.779537 7/5 2/1 3 6 -0.723404 In -0.768539 -0.678270 8/5 2/1 2 6 -0.627660 In -0.646086 -0.609234 9/5 2/1 1 6 -0.556017 In -0.561099 -0.550935 11/5 2/1 1 6 -0.454294 In -0.457686 -0.450901 12/5 2/1 2 6 -0.415888 In -0.423982 -0.407794 13/5 2/1 3 6 -0.383234 In -0.395936 -0.370531 14/5 2/1 2 6 -0.356164 In -0.368028 -0.344301 16/5 4/1 2 6 -0.313830 In 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-0.116125 In -0.117293 -0.114958 44/5 8/1 2 6 -0.113510 In -0.114716 -0.112304 46/5 10/1 2 6 -0.108835 In -0.109944 -0.107726 47/5 10/1 3 6 -0.106531 In -0.107513 -0.105548 48/5 10/1 2 6 -0.104228 In -0.104736 -0.103719 49/5 10/1 1 6 -0.102055 In -0.102226 -0.101884 -49/6 1/0 1 5 0.122459 In 0.121342 0.123577 -47/6 1/0 1 5 0.127671 In 0.126456 0.128886 -43/6 0 5 -41/6 0 5 -37/6 1/0 1 5 0.162186 In 0.160226 0.164146 -35/6 1/0 1 5 0.171457 In 0.169266 0.173647 -31/6 0 5 -29/6 0 5 -25/6 1/0 1 5 0.240077 In 0.235782 0.244371 -23/6 1/0 1 5 0.260968 In 0.255894 0.266043 -19/6 0 5 -17/6 0 5 -13/6 1/0 1 5 0.462085 In 0.446189 0.477982 -11/6 1/0 1 5 0.546358 In 0.524145 0.568570 -7/6 0 5 -5/6 0 5 -1/6 1/0 1 5 7.500000 In 4.145898 10.854102 1/6 1/0 1 5 -7.500000 In -10.854102 -4.145898 5/6 0 5 7/6 0 5 11/6 1/0 1 5 -0.546358 In -0.568570 -0.524145 13/6 1/0 1 5 -0.462085 In -0.477982 -0.446189 17/6 0 5 19/6 0 5 23/6 1/0 1 5 -0.260968 In -0.266043 -0.255894 25/6 1/0 1 5 -0.240077 In -0.244371 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