SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 1 -50/1 0/1 1 14 0.020000 In 0.014655 0.025345 -49/1 1/0 1 14 0.020409 In 0.020297 0.020520 -48/1 0/1 1 14 0.020833 In 0.015265 0.026401 -47/1 1/0 1 14 0.021277 In 0.021156 0.021398 -46/1 0/1 1 14 0.021739 In 0.015929 0.027549 -45/1 1/0 1 14 0.022223 In 0.022091 0.022355 -44/1 0/1 1 14 0.022727 In 0.016653 0.028801 -43/1 1/0 1 14 0.023257 In 0.023112 0.023401 -42/1 0/1 1 14 0.023810 In 0.017446 0.030173 -41/1 1/0 1 14 0.024391 In 0.024232 0.024550 -40/1 0/1 1 14 0.025000 In 0.018318 0.031682 -39/1 1/0 1 14 0.025642 In 0.025467 0.025818 -38/1 0/1 1 14 0.026316 In 0.019283 0.033349 -37/1 1/0 1 14 0.027028 In 0.026833 0.027224 -36/1 0/1 1 14 0.027778 In 0.020354 0.035202 -35/1 1/0 1 14 0.028573 In 0.028355 0.028791 -34/1 0/1 1 14 0.029412 In 0.021551 0.037272 -33/1 1/0 1 14 0.030305 In 0.030060 0.030550 -32/1 0/1 1 14 0.031250 In 0.022898 0.039602 -31/1 1/0 1 14 0.032260 In 0.031982 0.032539 -30/1 0/1 1 14 0.033333 In 0.024425 0.042242 -29/1 1/0 1 14 0.034486 In 0.034168 0.034804 -28/1 0/1 1 14 0.035714 In 0.026169 0.045259 -27/1 1/0 1 14 0.037041 In 0.036674 0.037407 -26/1 0/1 1 14 0.038462 In 0.028182 0.048741 -25/1 1/0 1 14 0.040005 In 0.039577 0.040432 -24/1 0/1 1 14 0.041667 In 0.030531 0.052803 -23/1 1/0 1 14 0.043484 In 0.042979 0.043989 -22/1 0/1 1 14 0.045455 In 0.033306 0.057603 -21/1 1/0 1 14 0.047627 In 0.047021 0.048233 -20/1 0/1 1 14 0.050000 In 0.036637 0.063363 -19/1 1/0 1 14 0.052642 In 0.051902 0.053382 -18/1 0/1 1 14 0.055556 In 0.040708 0.070403 -17/1 1/0 1 14 0.058838 In 0.057913 0.059763 -16/1 0/1 1 14 0.062500 In 0.045796 0.079204 -15/1 1/0 1 14 0.066688 In 0.065500 0.067876 -14/1 0/1 1 14 0.071429 In 0.052338 0.090519 -13/1 1/0 1 14 0.076956 In 0.075374 0.078538 -12/1 0/1 1 14 0.083333 In 0.061062 0.105605 -11/1 1/0 1 14 0.090963 In 0.088753 0.093173 -10/1 0/1 1 14 0.100000 In 0.073274 0.126726 -9/1 1/0 1 14 0.111209 In 0.107907 0.114512 -8/1 0/1 1 14 0.125000 In 0.091592 0.158408 -7/1 1/0 1 14 0.143066 In 0.137603 0.148528 -6/1 0/1 1 14 0.166667 In 0.122123 0.211210 -5/1 1/0 1 14 0.200573 In 0.189852 0.211294 -4/1 0/1 1 14 0.250000 In 0.183185 0.316815 -3/1 1/0 1 14 0.336000 In 0.306067 0.365933 -2/1 0/1 1 14 0.500000 In 0.366369 0.633631 -1/1 1/0 1 14 1.076923 In 0.789103 1.364743 0/1 0/1 1 14 1/1 1/0 1 14 -1.076923 In -1.364743 -0.789103 2/1 0/1 1 14 -0.500000 In -0.633631 -0.366369 3/1 1/0 1 14 -0.336000 In -0.365933 -0.306067 4/1 0/1 1 14 -0.250000 In -0.316815 -0.183185 5/1 1/0 1 14 -0.200573 In -0.211294 -0.189852 6/1 0/1 1 14 -0.166667 In -0.211210 -0.122123 7/1 1/0 1 14 -0.143066 In -0.148528 -0.137603 8/1 0/1 1 14 -0.125000 In -0.158408 -0.091592 9/1 1/0 1 14 -0.111209 In -0.114512 -0.107907 10/1 0/1 1 14 -0.100000 In -0.126726 -0.073274 11/1 1/0 1 14 -0.090963 In -0.093173 -0.088753 12/1 0/1 1 14 -0.083333 In -0.105605 -0.061062 13/1 1/0 1 14 -0.076956 In -0.078538 -0.075374 14/1 0/1 1 14 -0.071429 In -0.090519 -0.052338 15/1 1/0 1 14 -0.066688 In -0.067876 -0.065500 16/1 0/1 1 14 -0.062500 In -0.079204 -0.045796 17/1 1/0 1 14 -0.058838 In -0.059763 -0.057913 18/1 0/1 1 14 -0.055556 In -0.070403 -0.040708 19/1 1/0 1 14 -0.052642 In -0.053382 -0.051902 20/1 0/1 1 14 -0.050000 In -0.063363 -0.036637 21/1 1/0 1 14 -0.047627 In -0.048233 -0.047021 22/1 0/1 1 14 -0.045455 In -0.057603 -0.033306 23/1 1/0 1 14 -0.043484 In -0.043989 -0.042979 24/1 0/1 1 14 -0.041667 In -0.052803 -0.030531 25/1 1/0 1 14 -0.040005 In -0.040432 -0.039577 26/1 0/1 1 14 -0.038462 In -0.048741 -0.028182 27/1 1/0 1 14 -0.037041 In -0.037407 -0.036674 28/1 0/1 1 14 -0.035714 In -0.045259 -0.026169 29/1 1/0 1 14 -0.034486 In -0.034804 -0.034168 30/1 0/1 1 14 -0.033333 In -0.042242 -0.024425 31/1 1/0 1 14 -0.032260 In -0.032539 -0.031982 32/1 0/1 1 14 -0.031250 In -0.039602 -0.022898 33/1 1/0 1 14 -0.030305 In -0.030550 -0.030060 34/1 0/1 1 14 -0.029412 In -0.037272 -0.021551 35/1 1/0 1 14 -0.028573 In -0.028791 -0.028355 36/1 0/1 1 14 -0.027778 In -0.035202 -0.020354 37/1 1/0 1 14 -0.027028 In -0.027224 -0.026833 38/1 0/1 1 14 -0.026316 In -0.033349 -0.019283 39/1 1/0 1 14 -0.025642 In -0.025818 -0.025467 40/1 0/1 1 14 -0.025000 In -0.031682 -0.018318 41/1 1/0 1 14 -0.024391 In -0.024550 -0.024232 42/1 0/1 1 14 -0.023810 In -0.030173 -0.017446 43/1 1/0 1 14 -0.023257 In -0.023401 -0.023112 44/1 0/1 1 14 -0.022727 In -0.028801 -0.016653 45/1 1/0 1 14 -0.022223 In -0.022355 -0.022091 46/1 0/1 1 14 -0.021739 In -0.027549 -0.015929 47/1 1/0 1 14 -0.021277 In -0.021398 -0.021156 48/1 0/1 1 14 -0.020833 In -0.026401 -0.015265 49/1 1/0 1 14 -0.020409 In -0.020520 -0.020297 50/1 0/1 1 14 -0.020000 In -0.025345 -0.014655 -49/2 0 7 -47/2 0 7 -45/2 0 7 -43/2 0 7 -41/2 0 7 -39/2 0 7 -37/2 0 7 -35/2 0 7 -33/2 0 7 -31/2 0 7 -29/2 0 7 -27/2 0 7 -25/2 0 7 -23/2 0 7 -21/2 0 7 -19/2 0 7 -17/2 0 7 -15/2 0 7 -13/2 0 7 -11/2 0 7 -9/2 0 7 -7/2 0 7 -5/2 0 7 -3/2 0 7 -1/2 0 7 1/2 0 7 3/2 0 7 5/2 0 7 7/2 0 7 9/2 0 7 11/2 0 7 13/2 0 7 15/2 0 7 17/2 0 7 19/2 0 7 21/2 0 7 23/2 0 7 25/2 0 7 27/2 0 7 29/2 0 7 31/2 0 7 33/2 0 7 35/2 0 7 37/2 0 7 39/2 0 7 41/2 0 7 43/2 0 7 45/2 0 7 47/2 0 7 49/2 0 7 -50/3 0/1 1 14 0.060000 In 0.054655 0.065345 -49/3 1/0 1 14 0.061226 In 0.060892 0.061560 -47/3 1/0 1 14 0.063832 In 0.063469 0.064195 -46/3 0/1 1 14 0.065217 In 0.059407 0.071027 -44/3 0/1 1 14 0.068182 In 0.062108 0.074256 -43/3 1/0 1 14 0.069770 In 0.069336 0.070204 -41/3 1/0 1 14 0.073174 In 0.072697 0.073651 -40/3 0/1 1 14 0.075000 In 0.068318 0.081682 -38/3 0/1 1 14 0.078947 In 0.071914 0.085981 -37/3 1/0 1 14 0.081085 In 0.080500 0.081671 -35/3 1/0 1 14 0.085719 In 0.085065 0.086374 -34/3 0/1 1 14 0.088235 In 0.080375 0.096096 -32/3 0/1 1 14 0.093750 In 0.085398 0.102102 -31/3 1/0 1 14 0.096781 In 0.095947 0.097616 -29/3 1/0 1 14 0.103457 In 0.102504 0.104411 -28/3 0/1 1 14 0.107143 In 0.097598 0.116688 -26/3 0/1 1 14 0.115385 In 0.105105 0.125664 -25/3 1/0 1 14 0.120014 In 0.118731 0.121297 -23/3 1/0 1 14 0.130452 In 0.128937 0.131968 -22/3 0/1 1 14 0.136364 In 0.124215 0.148512 -20/3 0/1 1 14 0.150000 In 0.136637 0.163363 -19/3 1/0 1 14 0.157926 In 0.155705 0.160147 -17/3 1/0 1 14 0.176514 In 0.173739 0.179289 -16/3 0/1 1 14 0.187500 In 0.170796 0.204204 -14/3 0/1 1 14 0.214286 In 0.195196 0.233376 -13/3 1/0 1 14 0.230867 In 0.226121 0.235613 -11/3 1/0 1 14 0.272888 In 0.266258 0.279519 -10/3 0/1 1 14 0.300000 In 0.273274 0.326726 -8/3 0/1 1 14 0.375000 In 0.341592 0.408408 -7/3 1/0 1 14 0.429197 In 0.412810 0.445584 -5/3 1/0 1 14 0.601719 In 0.569556 0.633882 -4/3 0/1 1 14 0.750000 In 0.683185 0.816815 -2/3 0/1 1 14 1.500000 In 1.366369 1.633631 -1/3 1/0 1 14 3.230769 In 2.367310 4.094229 1/3 1/0 1 14 -3.230769 In -4.094229 -2.367310 2/3 0/1 1 14 -1.500000 In -1.633631 -1.366369 4/3 0/1 1 14 -0.750000 In -0.816815 -0.683185 5/3 1/0 1 14 -0.601719 In -0.633882 -0.569556 7/3 1/0 1 14 -0.429197 In -0.445584 -0.412810 8/3 0/1 1 14 -0.375000 In -0.408408 -0.341592 10/3 0/1 1 14 -0.300000 In -0.326726 -0.273274 11/3 1/0 1 14 -0.272888 In -0.279519 -0.266258 13/3 1/0 1 14 -0.230867 In -0.235613 -0.226121 14/3 0/1 1 14 -0.214286 In -0.233376 -0.195196 16/3 0/1 1 14 -0.187500 In -0.204204 -0.170796 17/3 1/0 1 14 -0.176514 In -0.179289 -0.173739 19/3 1/0 1 14 -0.157926 In -0.160147 -0.155705 20/3 0/1 1 14 -0.150000 In -0.163363 -0.136637 22/3 0/1 1 14 -0.136364 In -0.148512 -0.124215 23/3 1/0 1 14 -0.130452 In -0.131968 -0.128937 25/3 1/0 1 14 -0.120014 In -0.121297 -0.118731 26/3 0/1 1 14 -0.115385 In -0.125664 -0.105105 28/3 0/1 1 14 -0.107143 In -0.116688 -0.097598 29/3 1/0 1 14 -0.103457 In -0.104411 -0.102504 31/3 1/0 1 14 -0.096781 In -0.097616 -0.095947 32/3 0/1 1 14 -0.093750 In -0.102102 -0.085398 34/3 0/1 1 14 -0.088235 In -0.096096 -0.080375 35/3 1/0 1 14 -0.085719 In -0.086374 -0.085065 37/3 1/0 1 14 -0.081085 In -0.081671 -0.080500 38/3 0/1 1 14 -0.078947 In -0.085981 -0.071914 40/3 0/1 1 14 -0.075000 In -0.081682 -0.068318 41/3 1/0 1 14 -0.073174 In -0.073651 -0.072697 43/3 1/0 1 14 -0.069770 In -0.070204 -0.069336 44/3 0/1 1 14 -0.068182 In -0.074256 -0.062108 46/3 0/1 1 14 -0.065217 In -0.071027 -0.059407 47/3 1/0 1 14 -0.063832 In -0.064195 -0.063469 49/3 1/0 1 14 -0.061226 In -0.061560 -0.060892 50/3 0/1 1 14 -0.060000 In -0.065345 -0.054655 -49/4 -1/1 1 7 0.081578 In 0.074494 0.088662 -47/4 1/1 1 7 0.085177 In 0.076450 0.093903 -45/4 1/1 1 7 0.088966 In 0.079819 0.098112 -43/4 -1/1 1 7 0.092953 In 0.084980 0.100926 -41/4 -1/1 1 7 0.097484 In 0.089164 0.105804 -39/4 1/1 1 7 0.102668 In 0.091981 0.113354 -37/4 1/1 1 7 0.108224 In 0.096903 0.119545 -35/4 -1/1 1 7 0.114182 In 0.104616 0.123748 -33/4 -1/1 1 7 0.121097 In 0.111030 0.131163 -31/4 1/1 1 7 0.129200 In 0.115432 0.142968 -29/4 1/1 1 7 0.138124 In 0.123291 0.152958 -27/4 -1/1 1 7 0.147981 In 0.136054 0.159908 -25/4 -1/1 1 7 0.159808 In 0.147105 0.172510 -23/4 1/1 1 7 0.174230 In 0.154934 0.193527 -21/4 1/1 1 7 0.190862 In 0.169428 0.212295 -19/4 -1/1 1 7 0.210214 In 0.194503 0.225925 -17/4 -1/1 1 7 0.234916 In 0.217906 0.251926 -15/4 1/1 1 7 0.267471 In 0.235534 0.299409 -13/4 1/1 1 7 0.308799 In 0.270746 0.346851 -11/4 -1/1 1 7 0.362884 In 0.340993 0.384776 -9/4 -1/1 1 7 0.443463 In 0.420091 0.466835 -7/4 1/1 1 7 0.576023 In 0.490926 0.661121 -5/4 1/1 1 7 0.810345 In 0.673496 0.947194 -3/4 -1/1 1 7 1.338710 In 1.296036 1.381383 -1/4 -1/1 1 7 4.500000 In 3.177124 5.822876 1/4 1/1 1 7 -4.500000 In -5.822876 -3.177124 3/4 1/1 1 7 -1.338710 In -1.381383 -1.296036 5/4 -1/1 1 7 -0.810345 In -0.947194 -0.673496 7/4 -1/1 1 7 -0.576023 In -0.661121 -0.490926 9/4 1/1 1 7 -0.443463 In -0.466835 -0.420091 11/4 1/1 1 7 -0.362884 In -0.384776 -0.340993 13/4 -1/1 1 7 -0.308799 In -0.346851 -0.270746 15/4 -1/1 1 7 -0.267471 In -0.299409 -0.235534 17/4 1/1 1 7 -0.234916 In -0.251926 -0.217906 19/4 1/1 1 7 -0.210214 In -0.225925 -0.194503 21/4 -1/1 1 7 -0.190862 In -0.212295 -0.169428 23/4 -1/1 1 7 -0.174230 In -0.193527 -0.154934 25/4 1/1 1 7 -0.159808 In -0.172510 -0.147105 27/4 1/1 1 7 -0.147981 In -0.159908 -0.136054 29/4 -1/1 1 7 -0.138124 In -0.152958 -0.123291 31/4 -1/1 1 7 -0.129200 In -0.142968 -0.115432 33/4 1/1 1 7 -0.121097 In -0.131163 -0.111030 35/4 1/1 1 7 -0.114182 In -0.123748 -0.104616 37/4 -1/1 1 7 -0.108224 In -0.119545 -0.096903 39/4 -1/1 1 7 -0.102668 In -0.113354 -0.091981 41/4 1/1 1 7 -0.097484 In -0.105804 -0.089164 43/4 1/1 1 7 -0.092953 In -0.100926 -0.084980 45/4 -1/1 1 7 -0.088966 In -0.098112 -0.079819 47/4 -1/1 1 7 -0.085177 In -0.093903 -0.076450 49/4 1/1 1 7 -0.081578 In -0.088662 -0.074494 -49/5 1/0 1 14 0.102044 In 0.101487 0.102600 -48/5 0/1 1 14 0.104167 In 0.098599 0.109735 -47/5 1/0 1 14 0.106386 In 0.105781 0.106991 -46/5 0/1 1 14 0.108696 In 0.102886 0.114506 -44/5 0/1 1 14 0.113636 In 0.107562 0.119710 -43/5 1/0 1 14 0.116284 In 0.115561 0.117006 -42/5 0/1 1 14 0.119048 In 0.112684 0.125411 -41/5 1/0 1 14 0.121956 In 0.121161 0.122751 -39/5 1/0 1 14 0.128211 In 0.127333 0.129090 -38/5 0/1 1 14 0.131579 In 0.124546 0.138612 -37/5 1/0 1 14 0.135142 In 0.134166 0.136118 -36/5 0/1 1 14 0.138889 In 0.131465 0.146313 -34/5 0/1 1 14 0.147059 In 0.139198 0.154919 -33/5 1/0 1 14 0.151525 In 0.150298 0.152752 -32/5 0/1 1 14 0.156250 In 0.147898 0.164602 -31/5 1/0 1 14 0.161302 In 0.159912 0.162693 -29/5 1/0 1 14 0.172428 In 0.170839 0.174018 -28/5 0/1 1 14 0.178571 In 0.169026 0.188116 -27/5 1/0 1 14 0.185203 In 0.183370 0.187037 -26/5 0/1 1 14 0.192308 In 0.182028 0.202587 -24/5 0/1 1 14 0.208333 In 0.197197 0.219469 -23/5 1/0 1 14 0.217421 In 0.214894 0.219947 -22/5 0/1 1 14 0.227273 In 0.215124 0.239421 -21/5 1/0 1 14 0.238134 In 0.235103 0.241164 -19/5 1/0 1 14 0.263210 In 0.259508 0.266912 -18/5 0/1 1 14 0.277778 In 0.262930 0.292626 -17/5 1/0 1 14 0.294190 In 0.289565 0.298815 -16/5 0/1 1 14 0.312500 In 0.295796 0.329204 -14/5 0/1 1 14 0.357143 In 0.338053 0.376233 -13/5 1/0 1 14 0.384778 In 0.376868 0.392688 -12/5 0/1 1 14 0.416667 In 0.394395 0.438938 -11/5 1/0 1 14 0.454814 In 0.443764 0.465864 -9/5 1/0 1 14 0.556046 In 0.539534 0.572558 -8/5 0/1 1 14 0.625000 In 0.591592 0.658408 -7/5 1/0 1 14 0.715328 In 0.688017 0.742640 -6/5 0/1 1 14 0.833333 In 0.788790 0.877877 -4/5 0/1 1 14 1.250000 In 1.183185 1.316815 -3/5 1/0 1 14 1.680000 In 1.530334 1.829666 -2/5 0/1 1 14 2.500000 In 2.366369 2.633631 -1/5 1/0 1 14 5.384615 In 3.945516 6.823714 1/5 1/0 1 14 -5.384615 In -6.823714 -3.945516 2/5 0/1 1 14 -2.500000 In -2.633631 -2.366369 3/5 1/0 1 14 -1.680000 In -1.829666 -1.530334 4/5 0/1 1 14 -1.250000 In -1.316815 -1.183185 6/5 0/1 1 14 -0.833333 In -0.877877 -0.788790 7/5 1/0 1 14 -0.715328 In -0.742640 -0.688017 8/5 0/1 1 14 -0.625000 In -0.658408 -0.591592 9/5 1/0 1 14 -0.556046 In -0.572558 -0.539534 11/5 1/0 1 14 -0.454814 In -0.465864 -0.443764 12/5 0/1 1 14 -0.416667 In -0.438938 -0.394395 13/5 1/0 1 14 -0.384778 In -0.392688 -0.376868 14/5 0/1 1 14 -0.357143 In -0.376233 -0.338053 16/5 0/1 1 14 -0.312500 In -0.329204 -0.295796 17/5 1/0 1 14 -0.294190 In -0.298815 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