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 10 -50/1 1/0 4 1 0.020032 In 0.019231 0.020833 -49/1 0 10 -48/1 -6/1 1 5 0.020376 In 0.012198 0.028554 -47/1 0 10 -46/1 -5/1 1 5 0.021317 In 0.012631 0.030003 -45/1 -4/1 1 2 0.021319 In 0.006945 0.035692 -44/1 -4/1 1 5 0.022351 In 0.013096 0.031606 -43/1 0 10 -42/1 -3/1 1 5 0.023493 In 0.013596 0.033391 -41/1 0 10 -40/1 0 1 -39/1 0 10 -38/1 -3/1 1 5 0.025933 In 0.015079 0.036786 -37/1 0 10 -36/1 -2/1 1 5 0.027486 In 0.015746 0.039226 -35/1 -2/1 1 2 0.027800 In 0.008721 0.046880 -34/1 -1/1 1 5 0.029244 In 0.016475 0.042013 -33/1 0 10 -32/1 0/1 1 5 0.031250 In 0.017275 0.045225 -31/1 0 10 -30/1 1/0 4 1 0.033482 In 0.031250 0.035714 -29/1 0 10 -28/1 -4/1 1 5 0.034836 In 0.021090 0.048582 -27/1 0 10 -26/1 -3/1 1 5 0.037674 In 0.022418 0.052931 -25/1 -2/1 1 2 0.038523 In 0.012418 0.064628 -24/1 -2/1 1 5 0.041029 In 0.023924 0.058134 -23/1 0 10 -22/1 -1/1 1 5 0.045060 In 0.025648 0.064472 -21/1 0 10 -20/1 0 1 -19/1 0 10 -18/1 -1/1 1 5 0.054972 In 0.031493 0.078452 -17/1 0 10 -16/1 0/1 1 5 0.062500 In 0.034549 0.090451 -15/1 0/1 1 2 0.066667 In 0.019526 0.113807 -14/1 1/1 1 5 0.072523 In 0.038262 0.106783 -13/1 0 10 -12/1 2/1 1 5 0.086592 In 0.042870 0.130314 -11/1 0 10 -10/1 1/0 4 1 0.104167 In 0.083333 0.125000 -9/1 0 10 -8/1 -2/1 1 5 0.120253 In 0.077796 0.162710 -7/1 0 10 -6/1 -1/1 1 5 0.162011 In 0.099551 0.224471 -5/1 0/1 1 2 0.200000 In 0.058579 0.341421 -4/1 0/1 1 5 0.250000 In 0.138197 0.361803 -3/1 0 10 -2/1 1/1 1 5 0.578947 In 0.225884 0.932011 -1/1 0 10 0/1 0 1 1/1 0 10 2/1 1/1 1 5 -0.473684 In -0.591372 -0.355996 3/1 0 10 4/1 2/1 1 5 -0.236842 In -0.295686 -0.177998 5/1 2/1 1 2 -0.173913 In -0.266144 -0.081682 6/1 3/1 1 5 -0.157895 In -0.197124 -0.118665 7/1 0 10 8/1 4/1 1 5 -0.118421 In -0.147843 -0.088999 9/1 0 10 10/1 1/0 4 1 -0.104167 In -0.125000 -0.083333 11/1 0 10 12/1 0/1 1 5 -0.083333 In -0.120601 -0.046066 13/1 0 10 14/1 1/1 1 5 -0.070480 In -0.100173 -0.040788 15/1 2/1 1 2 -0.062780 In -0.104002 -0.021559 16/1 2/1 1 5 -0.061129 In -0.085662 -0.036595 17/1 0 10 18/1 3/1 1 5 -0.054004 In -0.074824 -0.033184 19/1 0 10 20/1 0 1 21/1 0 10 22/1 3/1 1 5 -0.044380 In -0.062001 -0.026758 23/1 0 10 24/1 4/1 1 5 -0.040503 In -0.056118 -0.024888 25/1 4/1 1 2 -0.037277 In -0.061344 -0.013210 26/1 5/1 1 5 -0.037258 In -0.051254 -0.023262 27/1 0 10 28/1 6/1 1 5 -0.034501 In -0.047166 -0.021835 29/1 0 10 30/1 1/0 4 1 -0.033482 In -0.035714 -0.031250 31/1 0 10 32/1 2/1 1 5 -0.030884 In -0.043996 -0.017771 33/1 0 10 34/1 3/1 1 5 -0.028938 In -0.040949 -0.016926 35/1 4/1 1 2 -0.027116 In -0.045128 -0.009104 36/1 4/1 1 5 -0.027228 In -0.038297 -0.016158 37/1 0 10 38/1 5/1 1 5 -0.025712 In -0.035968 -0.015457 39/1 0 10 40/1 0 1 41/1 0 10 42/1 5/1 1 5 -0.023309 In -0.032716 -0.013902 43/1 0 10 44/1 6/1 1 5 -0.022190 In -0.031001 -0.013379 45/1 6/1 1 2 -0.020927 In -0.034667 -0.007186 46/1 7/1 1 5 -0.021176 In -0.029457 -0.012895 47/1 0 10 48/1 8/1 1 5 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10 0.222497 In 0.214679 0.230315 -7/2 1/0 1 10 0.286299 In 0.273365 0.299232 -5/2 1/1 1 2 0.428571 In 0.226541 0.630602 -3/2 1/0 1 10 0.674157 In 0.603095 0.745220 -1/2 1/0 1 10 2.222222 In 1.519494 2.924951 1/2 1/0 1 10 -2.222222 In -2.924951 -1.519494 3/2 1/0 1 10 -0.674157 In -0.745220 -0.603095 5/2 1/1 1 2 -0.387755 In -0.474340 -0.301171 7/2 1/0 1 10 -0.286299 In -0.299232 -0.273365 9/2 1/0 1 10 -0.222497 In -0.230315 -0.214679 11/2 5/2 1 10 -0.177215 In -0.209238 -0.145192 13/2 1/0 1 10 -0.153937 In -0.157682 -0.150193 15/2 3/1 1 2 -0.129252 In -0.158113 -0.100390 17/2 1/0 1 10 -0.117688 In -0.119877 -0.115499 19/2 1/0 1 10 -0.105292 In -0.107045 -0.103540 21/2 1/0 1 10 -0.095260 In -0.096694 -0.093825 23/2 1/0 1 10 -0.086973 In -0.088169 -0.085777 25/2 1/1 1 2 -0.079263 In -0.105306 -0.053221 27/2 1/0 1 10 -0.074084 In -0.074952 -0.073217 29/2 3/2 1 10 -0.068325 In -0.087899 -0.048752 31/2 1/0 1 10 -0.064523 In -0.065181 -0.063865 33/2 1/0 1 10 -0.060612 In -0.061192 -0.060031 35/2 3/1 1 2 -0.056125 In -0.072926 -0.039323 37/2 1/0 1 10 -0.054058 In -0.054520 -0.053596 39/2 1/0 1 10 -0.051285 In -0.051701 -0.050870 41/2 1/0 1 10 -0.048783 In -0.049160 -0.048407 43/2 1/0 1 10 -0.046514 In -0.046856 -0.046172 45/2 3/1 1 2 -0.043801 In -0.057450 -0.030152 47/2 1/0 1 10 -0.042555 In -0.042841 -0.042269 49/2 1/0 1 10 -0.040818 In -0.041081 -0.040555 -50/3 0/1 1 1 0.060000 In 0.040000 0.080000 -49/3 0 10 -47/3 0 10 -46/3 -1/1 1 5 0.065129 In 0.056040 0.074218 -44/3 0/1 1 5 0.068182 In 0.058018 0.078346 -43/3 0 10 -41/3 0 10 -40/3 0 1 -38/3 1/1 1 5 0.079097 In 0.066397 0.091796 -37/3 0 10 -35/3 0 2 -34/3 3/1 1 5 0.088893 In 0.072232 0.105554 -32/3 6/1 1 5 0.095594 In 0.073603 0.117585 -31/3 0 10 -29/3 0 10 -28/3 -6/1 1 5 0.106591 In 0.100834 0.112348 -26/3 -3/1 1 5 0.114803 In 0.103526 0.126079 -25/3 0 2 -23/3 0 10 -22/3 -1/1 1 5 0.136007 In 0.118443 0.153570 -20/3 0 1 -19/3 0 10 -17/3 0 10 -16/3 0/1 1 5 0.187500 In 0.159549 0.215451 -14/3 1/1 1 5 0.215526 In 0.176697 0.254355 -13/3 0 10 -11/3 0 10 -10/3 0/1 1 1 0.300000 In 0.200000 0.400000 -8/3 0/1 1 5 0.375000 In 0.319098 0.430902 -7/3 0 10 -5/3 0 2 -4/3 0/1 1 5 0.750000 In 0.638197 0.861803 -2/3 1/1 1 5 1.631579 In 1.043140 2.220018 -1/3 0 10 1/3 0 10 2/3 1/1 1 5 -1.526316 In -1.644004 -1.408628 4/3 2/1 1 5 -0.763158 In -0.822002 -0.704314 5/3 0 2 7/3 0 10 8/3 2/1 1 5 -0.373418 In -0.387570 -0.359265 10/3 2/1 1 1 -0.291667 In -0.333333 -0.250000 11/3 0 10 13/3 0 10 14/3 1/1 1 5 -0.213483 In -0.238608 -0.188359 16/3 2/1 1 5 -0.186520 In -0.204044 -0.168996 17/3 0 10 19/3 0 10 20/3 0 1 22/3 3/1 1 5 -0.135628 In -0.147685 -0.123572 23/3 0 10 25/3 0 2 26/3 5/1 1 5 -0.114754 In -0.122085 -0.107423 28/3 8/1 1 5 -0.106846 In -0.109166 -0.104527 29/3 0 10 31/3 0 10 32/3 -4/1 1 5 -0.094828 In -0.114104 -0.075551 34/3 -1/1 1 5 -0.088424 In -0.102740 -0.074107 35/3 0 2 37/3 0 10 38/3 1/1 1 5 -0.078820 In -0.089661 -0.067979 40/3 0 1 41/3 0 10 43/3 0 10 44/3 2/1 1 5 -0.068003 In -0.076785 -0.059222 46/3 3/1 1 5 -0.064989 In -0.072816 -0.057163 47/3 0 10 49/3 0 10 50/3 2/1 1 1 -0.059295 In -0.076923 -0.041667 -49/4 1/0 1 10 0.081636 In 0.081109 0.082163 -47/4 1/0 1 10 0.085110 In 0.084538 0.085683 -45/4 3/1 1 2 0.089829 In 0.069881 0.109777 -43/4 1/0 1 10 0.093028 In 0.092344 0.093712 -41/4 1/0 1 10 0.097567 In 0.096814 0.098319 -39/4 1/0 1 10 0.102571 In 0.101739 0.103403 -37/4 1/0 1 10 0.108116 In 0.107192 0.109040 -35/4 -3/1 1 2 0.113478 In 0.100153 0.126803 -33/4 1/0 1 10 0.121223 In 0.120062 0.122385 -31/4 1/0 1 10 0.129046 In 0.127729 0.130362 -29/4 1/0 1 10 0.137947 In 0.136443 0.139452 -27/4 1/0 1 10 0.148168 In 0.146433 0.149904 -25/4 -1/1 1 2 0.159327 In 0.135550 0.183105 -23/4 -1/2 1 10 0.173568 In 0.148456 0.198679 -21/4 -1/2 1 10 0.190066 In 0.162811 0.217321 -19/4 1/2 1 10 0.211139 In 0.174338 0.247940 -17/4 1/0 1 10 0.235376 In 0.230997 0.239754 -15/4 1/1 1 2 0.269488 In 0.209644 0.329332 -13/4 1/2 1 10 0.309059 In 0.252890 0.365227 -11/4 1/2 1 10 0.365591 In 0.297585 0.433597 -9/4 1/0 1 10 0.444994 In 0.429358 0.460629 -7/4 1/0 1 10 0.572597 In 0.546730 0.598464 -5/4 1/1 1 2 0.836735 In 0.576981 1.096488 -3/4 1/0 1 10 1.348315 In 1.206190 1.490439 -1/4 1/0 1 10 4.444444 In 3.038988 5.849901 1/4 1/0 1 10 -4.444444 In -5.849901 -3.038988 3/4 1/0 1 10 -1.348315 In -1.490439 -1.206190 5/4 1/1 1 2 -0.795918 In -0.824780 -0.767057 7/4 1/0 1 10 -0.572597 In -0.598464 -0.546730 9/4 1/0 1 10 -0.444994 In -0.460629 -0.429358 11/4 3/2 1 10 -0.361366 In -0.387696 -0.335035 13/4 3/2 1 10 -0.305770 In -0.332107 -0.279434 15/4 1/1 1 2 -0.265033 In -0.299680 -0.230387 17/4 1/0 1 10 -0.235376 In -0.239754 -0.230997 19/4 3/2 1 10 -0.209386 In -0.232219 -0.186554 21/4 5/2 1 10 -0.189282 In -0.205147 -0.173416 23/4 5/2 1 10 -0.172840 In -0.188456 -0.157223 25/4 3/1 1 2 -0.158743 In -0.173557 -0.143928 27/4 1/0 1 10 -0.148168 In -0.149904 -0.146433 29/4 1/0 1 10 -0.137947 In -0.139452 -0.136443 31/4 1/0 1 10 -0.129046 In -0.130362 -0.127729 33/4 1/0 1 10 -0.121223 In -0.122385 -0.120062 35/4 5/1 1 2 -0.113402 In -0.122150 -0.104654 37/4 1/0 1 10 -0.108116 In -0.109040 -0.107192 39/4 1/0 1 10 -0.102571 In -0.103403 -0.101739 41/4 1/0 1 10 -0.097567 In -0.098319 -0.096814 43/4 1/0 1 10 -0.093028 In -0.093712 -0.092344 45/4 -1/1 1 2 -0.089158 In -0.106272 -0.072043 47/4 1/0 1 10 -0.085110 In -0.085683 -0.084538 49/4 1/0 1 10 -0.081636 In -0.082163 -0.081109 -49/5 0 10 -48/5 -10/1 1 5 0.104203 In 0.103812 0.104595 -47/5 0 10 -46/5 -5/1 1 5 0.108479 In 0.104031 0.112928 -44/5 -4/1 1 5 0.113411 In 0.107857 0.118964 -43/5 0 10 -42/5 -3/1 1 5 0.118829 In 0.111977 0.125681 -41/5 0 10 -39/5 0 10 -38/5 -1/1 1 5 0.131459 In 0.121237 0.141680 -37/5 0 10 -36/5 0/1 1 5 0.138889 In 0.126466 0.151311 -34/5 -1/1 1 5 0.146911 In 0.135690 0.158132 -33/5 0 10 -32/5 -2/1 1 5 0.155981 In 0.146366 0.165597 -31/5 0 10 -29/5 0 10 -28/5 0/1 1 5 0.178571 In 0.162600 0.194543 -27/5 0 10 -26/5 -1/3 1 5 0.191477 In 0.143169 0.239785 -24/5 0/1 1 5 0.208333 In 0.189699 0.226967 -23/5 0 10 -22/5 1/1 1 5 0.227780 In 0.202822 0.252738 -21/5 0 10 -19/5 0 10 -18/5 1/1 1 5 0.278567 In 0.246801 0.310333 -17/5 0 10 -16/5 0/1 1 5 0.312500 In 0.284549 0.340451 -14/5 1/1 1 5 0.358529 In 0.315132 0.401926 -13/5 0 10 -12/5 2/1 1 5 0.421788 In 0.353082 0.490494 -11/5 0 10 -9/5 0 10 -8/5 2/1 1 5 0.639241 In 0.511870 0.766611 -7/5 0 10 -6/5 1/1 1 5 0.843575 In 0.706163 0.980987 -4/5 2/1 1 5 1.342105 In 0.930198 1.754013 -3/5 0 10 -2/5 1/1 1 5 2.684211 In 1.860396 3.508025 -1/5 0 10 1/5 0 10 2/5 1/1 1 5 -2.578947 In -2.932011 -2.225884 3/5 0 10 4/5 0/1 1 5 -1.250000 In -1.361803 -1.138197 6/5 1/1 1 5 -0.832402 In -0.844894 -0.819910 7/5 0 10 8/5 0/1 1 5 -0.625000 In -0.680902 -0.569098 9/5 0 10 11/5 0 10 12/5 0/1 1 5 -0.416667 In -0.453934 -0.379399 13/5 0 10 14/5 1/1 1 5 -0.356486 In -0.377043 -0.335930 16/5 2/1 1 5 -0.311912 In -0.322427 -0.301398 17/5 0 10 18/5 1/1 1 5 -0.277332 In -0.295287 -0.259377 19/5 0 10 21/5 0 10 22/5 1/1 1 5 -0.226953 In 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-25/6 -1/1 1 2 0.239392 In 0.217878 0.260905 -23/6 1/2 1 10 0.261297 In 0.230206 0.292388 -19/6 1/2 1 10 0.316431 In 0.277877 0.354985 -17/6 1/2 1 10 0.353756 In 0.309972 0.397539 -13/6 1/2 1 10 0.462996 In 0.403083 0.522909 -11/6 3/2 1 10 0.554538 In 0.449216 0.659859 -7/6 1/0 1 10 0.858896 In 0.820095 0.897697 -5/6 1/1 1 2 1.244898 In 0.927421 1.562374 -1/6 1/0 1 10 6.666667 In 4.558482 8.774852 1/6 1/0 1 10 -6.666667 In -8.774852 -4.558482 5/6 1/1 1 2 -1.204082 In -1.232943 -1.175220 7/6 1/0 1 10 -0.858896 In -0.897697 -0.820095 11/6 1/2 1 10 -0.544251 In -0.586101 -0.502402 13/6 3/2 1 10 -0.460440 In -0.475490 -0.445391 17/6 3/2 1 10 -0.351961 In -0.369523 -0.334399 19/6 3/2 1 10 -0.314913 In -0.332476 -0.297349 23/6 3/2 1 10 -0.260178 In -0.276944 -0.243412 25/6 3/1 1 2 -0.239323 In -0.247300 -0.231346 29/6 3/2 1 10 -0.206404 In -0.221461 -0.191347 31/6 9/4 1 10 -0.191416 In -0.214646 -0.168186 35/6 3/1 1 2 -0.170832 In -0.180681 -0.160983 37/6 1/0 1 10 -0.162174 In -0.163560 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