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 19 0.020000 In 0.015412 0.024588 -49/1 1/0 1 19 0.020409 In 0.020313 0.020504 -48/1 0/1 1 19 0.020833 In 0.016054 0.025613 -47/1 1/0 1 19 0.021277 In 0.021173 0.021381 -46/1 0/1 1 19 0.021739 In 0.016752 0.026726 -45/1 1/0 1 19 0.022223 In 0.022110 0.022336 -44/1 0/1 1 19 0.022727 In 0.017513 0.027941 -43/1 1/0 1 19 0.023256 In 0.023132 0.023381 -42/1 0/1 1 19 0.023810 In 0.018347 0.029272 -41/1 1/0 1 19 0.024391 In 0.024255 0.024527 -40/1 0/1 1 19 0.025000 In 0.019265 0.030735 -39/1 1/0 1 19 0.025642 In 0.025491 0.025793 -38/1 0/1 1 19 0.026316 In 0.020279 0.032353 -37/1 1/0 1 19 0.027028 In 0.026860 0.027196 -36/1 0/1 1 19 0.027778 In 0.021405 0.034150 -35/1 1/0 1 19 0.028573 In 0.028385 0.028760 -34/1 0/1 1 19 0.029412 In 0.022664 0.036159 -33/1 1/0 1 19 0.030304 In 0.030094 0.030515 -32/1 0/1 1 19 0.031250 In 0.024081 0.038419 -31/1 1/0 1 19 0.032260 In 0.032021 0.032499 -30/1 0/1 1 19 0.033333 In 0.025686 0.040981 -29/1 1/0 1 19 0.034485 In 0.034212 0.034758 -28/1 0/1 1 19 0.035714 In 0.027521 0.043908 -27/1 1/0 1 19 0.037040 In 0.036725 0.037354 -26/1 0/1 1 19 0.038462 In 0.029638 0.047285 -25/1 1/0 1 19 0.040003 In 0.039636 0.040370 -24/1 0/1 1 19 0.041667 In 0.032108 0.051226 -23/1 1/0 1 19 0.043483 In 0.043049 0.043916 -22/1 0/1 1 19 0.045455 In 0.035027 0.055883 -21/1 1/0 1 19 0.047625 In 0.047104 0.048145 -20/1 0/1 1 19 0.050000 In 0.038529 0.061471 -19/1 1/0 1 19 0.052639 In 0.052004 0.053275 -18/1 0/1 1 19 0.055556 In 0.042810 0.068301 -17/1 1/0 1 19 0.058834 In 0.058040 0.059628 -16/1 0/1 1 19 0.062500 In 0.048162 0.076838 -15/1 1/0 1 19 0.066682 In 0.065662 0.067702 -14/1 0/1 1 19 0.071429 In 0.055042 0.087815 -13/1 1/0 1 19 0.076947 In 0.075589 0.078305 -12/1 0/1 1 19 0.083333 In 0.064215 0.102451 -11/1 1/0 1 19 0.090949 In 0.089052 0.092845 -10/1 0/1 1 19 0.100000 In 0.077058 0.122942 -9/1 1/0 1 19 0.111183 In 0.108349 0.114017 -8/1 0/1 1 19 0.125000 In 0.096323 0.153677 -7/1 1/0 1 19 0.143011 In 0.138324 0.147698 -6/1 0/1 1 19 0.166667 In 0.128431 0.204903 -5/1 1/0 1 19 0.200422 In 0.191226 0.209618 -4/1 0/1 1 19 0.250000 In 0.192646 0.307354 -3/1 1/0 1 19 0.335294 In 0.309654 0.360935 -2/1 0/1 1 19 0.500000 In 0.385292 0.614708 -1/1 1/0 1 19 1.055556 In 0.813395 1.297717 0/1 0/1 1 19 1/1 1/0 1 19 -1.055556 In -1.297717 -0.813395 2/1 0/1 1 19 -0.500000 In -0.614708 -0.385292 3/1 1/0 1 19 -0.335294 In -0.360935 -0.309654 4/1 0/1 1 19 -0.250000 In -0.307354 -0.192646 5/1 1/0 1 19 -0.200422 In -0.209618 -0.191226 6/1 0/1 1 19 -0.166667 In -0.204903 -0.128431 7/1 1/0 1 19 -0.143011 In -0.147698 -0.138324 8/1 0/1 1 19 -0.125000 In -0.153677 -0.096323 9/1 1/0 1 19 -0.111183 In -0.114017 -0.108349 10/1 0/1 1 19 -0.100000 In -0.122942 -0.077058 11/1 1/0 1 19 -0.090949 In -0.092845 -0.089052 12/1 0/1 1 19 -0.083333 In -0.102451 -0.064215 13/1 1/0 1 19 -0.076947 In -0.078305 -0.075589 14/1 0/1 1 19 -0.071429 In -0.087815 -0.055042 15/1 1/0 1 19 -0.066682 In -0.067702 -0.065662 16/1 0/1 1 19 -0.062500 In -0.076838 -0.048162 17/1 1/0 1 19 -0.058834 In -0.059628 -0.058040 18/1 0/1 1 19 -0.055556 In -0.068301 -0.042810 19/1 1/0 1 19 -0.052639 In -0.053275 -0.052004 20/1 0/1 1 19 -0.050000 In -0.061471 -0.038529 21/1 1/0 1 19 -0.047625 In -0.048145 -0.047104 22/1 0/1 1 19 -0.045455 In -0.055883 -0.035027 23/1 1/0 1 19 -0.043483 In -0.043916 -0.043049 24/1 0/1 1 19 -0.041667 In -0.051226 -0.032108 25/1 1/0 1 19 -0.040003 In -0.040370 -0.039636 26/1 0/1 1 19 -0.038462 In -0.047285 -0.029638 27/1 1/0 1 19 -0.037040 In -0.037354 -0.036725 28/1 0/1 1 19 -0.035714 In -0.043908 -0.027521 29/1 1/0 1 19 -0.034485 In -0.034758 -0.034212 30/1 0/1 1 19 -0.033333 In -0.040981 -0.025686 31/1 1/0 1 19 -0.032260 In -0.032499 -0.032021 32/1 0/1 1 19 -0.031250 In -0.038419 -0.024081 33/1 1/0 1 19 -0.030304 In -0.030515 -0.030094 34/1 0/1 1 19 -0.029412 In -0.036159 -0.022664 35/1 1/0 1 19 -0.028573 In -0.028760 -0.028385 36/1 0/1 1 19 -0.027778 In -0.034150 -0.021405 37/1 1/0 1 19 -0.027028 In -0.027196 -0.026860 38/1 0/1 1 19 -0.026316 In -0.032353 -0.020279 39/1 1/0 1 19 -0.025642 In -0.025793 -0.025491 40/1 0/1 1 19 -0.025000 In -0.030735 -0.019265 41/1 1/0 1 19 -0.024391 In -0.024527 -0.024255 42/1 0/1 1 19 -0.023810 In -0.029272 -0.018347 43/1 1/0 1 19 -0.023256 In -0.023381 -0.023132 44/1 0/1 1 19 -0.022727 In -0.027941 -0.017513 45/1 1/0 1 19 -0.022223 In -0.022336 -0.022110 46/1 0/1 1 19 -0.021739 In -0.026726 -0.016752 47/1 1/0 1 19 -0.021277 In -0.021381 -0.021173 48/1 0/1 1 19 -0.020833 In -0.025613 -0.016054 49/1 1/0 1 19 -0.020409 In -0.020504 -0.020313 50/1 0/1 1 19 -0.020000 In -0.024588 -0.015412 -49/2 -1/1 1 19 0.040795 In 0.036304 0.045286 -47/2 1/1 1 19 0.042578 In 0.037489 0.047667 -45/2 -1/1 1 19 0.044420 In 0.039548 0.049291 -43/2 1/1 1 19 0.046541 In 0.040958 0.052125 -41/2 -1/1 1 19 0.048751 In 0.043428 0.054073 -39/2 1/1 1 19 0.051318 In 0.045134 0.057503 -37/2 -1/1 1 19 0.054018 In 0.048152 0.059883 -35/2 1/1 1 19 0.057188 In 0.050259 0.064118 -33/2 -1/1 1 19 0.060561 In 0.054030 0.067092 -31/2 1/1 1 19 0.064574 In 0.056696 0.072453 -29/2 -1/1 1 19 0.068907 In 0.061541 0.076273 -27/2 1/1 1 19 0.074152 In 0.065025 0.083279 -25/2 -1/1 1 19 0.079923 In 0.071479 0.088366 -23/2 1/1 1 19 0.087065 In 0.076222 0.097908 -21/2 -1/1 1 19 0.095130 In 0.085245 0.105015 -19/2 1/1 1 19 0.105424 In 0.092077 0.118772 -17/2 -1/1 1 19 0.117486 In 0.105577 0.129396 -15/2 1/1 1 19 0.133599 In 0.116261 0.150936 -13/2 -1/1 1 19 0.153583 In 0.138646 0.168520 -11/2 1/1 1 19 0.182332 In 0.157674 0.206991 -9/2 -1/1 1 19 0.221717 In 0.201878 0.241555 -7/2 1/1 1 19 0.287097 In 0.244914 0.329280 -5/2 -1/1 1 19 0.398734 In 0.371146 0.426322 -3/2 1/1 1 19 0.676471 In 0.548268 0.804673 -1/2 -1/1 1 19 2.055556 In 1.813395 2.297717 1/2 1/1 1 19 -2.055556 In -2.297717 -1.813395 3/2 -1/1 1 19 -0.676471 In -0.804673 -0.548268 5/2 1/1 1 19 -0.398734 In -0.426322 -0.371146 7/2 -1/1 1 19 -0.287097 In -0.329280 -0.244914 9/2 1/1 1 19 -0.221717 In -0.241555 -0.201878 11/2 -1/1 1 19 -0.182332 In -0.206991 -0.157674 13/2 1/1 1 19 -0.153583 In -0.168520 -0.138646 15/2 -1/1 1 19 -0.133599 In -0.150936 -0.116261 17/2 1/1 1 19 -0.117486 In -0.129396 -0.105577 19/2 -1/1 1 19 -0.105424 In -0.118772 -0.092077 21/2 1/1 1 19 -0.095130 In -0.105015 -0.085245 23/2 -1/1 1 19 -0.087065 In -0.097908 -0.076222 25/2 1/1 1 19 -0.079923 In -0.088366 -0.071479 27/2 -1/1 1 19 -0.074152 In -0.083279 -0.065025 29/2 1/1 1 19 -0.068907 In -0.076273 -0.061541 31/2 -1/1 1 19 -0.064574 In -0.072453 -0.056696 33/2 1/1 1 19 -0.060561 In -0.067092 -0.054030 35/2 -1/1 1 19 -0.057188 In -0.064118 -0.050259 37/2 1/1 1 19 -0.054018 In -0.059883 -0.048152 39/2 -1/1 1 19 -0.051318 In -0.057503 -0.045134 41/2 1/1 1 19 -0.048751 In -0.054073 -0.043428 43/2 -1/1 1 19 -0.046541 In -0.052125 -0.040958 45/2 1/1 1 19 -0.044420 In -0.049291 -0.039548 47/2 -1/1 1 19 -0.042578 In -0.047667 -0.037489 49/2 1/1 1 19 -0.040795 In -0.045286 -0.036304 -50/3 -2/1 1 19 0.059963 In 0.055925 0.064001 -49/3 -1/2 1 19 0.061182 In 0.052105 0.070259 -47/3 1/2 1 19 0.063879 In 0.053805 0.073953 -46/3 2/1 1 19 0.065274 In 0.059635 0.070912 -44/3 -2/1 1 19 0.068135 In 0.063631 0.072638 -43/3 -1/2 1 19 0.069712 In 0.059414 0.080011 -41/3 1/2 1 19 0.073236 In 0.061635 0.084836 -40/3 2/1 1 19 0.075076 In 0.068479 0.081672 -38/3 -2/1 1 19 0.078886 In 0.073801 0.083971 -37/3 -1/2 1 19 0.081007 In 0.069109 0.092906 -35/3 1/2 1 19 0.085804 In 0.072132 0.099476 -34/3 2/1 1 19 0.088342 In 0.080403 0.096282 -32/3 -2/1 1 19 0.093666 In 0.087840 0.099493 -31/3 -1/2 1 19 0.096670 In 0.082584 0.110756 -29/3 1/2 1 19 0.103580 In 0.086939 0.120221 -28/3 2/1 1 19 0.107306 In 0.097354 0.117258 -26/3 -2/1 1 19 0.115265 In 0.108475 0.122054 -25/3 -1/2 1 19 0.119842 In 0.102588 0.137095 -23/3 1/2 1 19 0.130647 In 0.109394 0.151899 -22/3 2/1 1 19 0.136641 In 0.123363 0.149918 -20/3 -2/1 1 19 0.149816 In 0.141782 0.157849 -19/3 -1/2 1 19 0.157626 In 0.135380 0.179872 -17/3 1/2 1 19 0.176867 In 0.147490 0.206244 -16/3 2/1 1 19 0.188066 In 0.168334 0.207797 -14/3 -2/1 1 19 0.213978 In 0.204605 0.223352 -13/3 -1/2 1 19 0.230218 In 0.198986 0.261450 -11/3 1/2 1 19 0.273716 In 0.226296 0.321137 -10/3 2/1 1 19 0.301688 In 0.264904 0.338472 -8/3 -2/1 1 19 0.374587 In 0.367395 0.381780 -7/3 -1/2 1 19 0.426882 In 0.375325 0.478439 -5/3 1/2 1 19 0.605485 In 0.485937 0.725033 -4/3 2/1 1 19 0.766667 In 0.621370 0.911963 -2/3 -2/1 1 19 1.555556 In 1.313395 1.797717 -1/3 -1/2 1 19 3.055556 In 2.813395 3.297717 1/3 1/2 1 19 -3.055556 In -3.297717 -2.813395 2/3 2/1 1 19 -1.555556 In -1.797717 -1.313395 4/3 -2/1 1 19 -0.766667 In -0.911963 -0.621370 5/3 -1/2 1 19 -0.605485 In -0.725033 -0.485937 7/3 1/2 1 19 -0.426882 In -0.478439 -0.375325 8/3 2/1 1 19 -0.374587 In -0.381780 -0.367395 10/3 -2/1 1 19 -0.301688 In -0.338472 -0.264904 11/3 -1/2 1 19 -0.273716 In -0.321137 -0.226296 13/3 1/2 1 19 -0.230218 In -0.261450 -0.198986 14/3 2/1 1 19 -0.213978 In -0.223352 -0.204605 16/3 -2/1 1 19 -0.188066 In -0.207797 -0.168334 17/3 -1/2 1 19 -0.176867 In -0.206244 -0.147490 19/3 1/2 1 19 -0.157626 In -0.179872 -0.135380 20/3 2/1 1 19 -0.149816 In -0.157849 -0.141782 22/3 -2/1 1 19 -0.136641 In -0.149918 -0.123363 23/3 -1/2 1 19 -0.130647 In -0.151899 -0.109394 25/3 1/2 1 19 -0.119842 In -0.137095 -0.102588 26/3 2/1 1 19 -0.115265 In -0.122054 -0.108475 28/3 -2/1 1 19 -0.107306 In -0.117258 -0.097354 29/3 -1/2 1 19 -0.103580 In -0.120221 -0.086939 31/3 1/2 1 19 -0.096670 In -0.110756 -0.082584 32/3 2/1 1 19 -0.093666 In -0.099493 -0.087840 34/3 -2/1 1 19 -0.088342 In -0.096282 -0.080403 35/3 -1/2 1 19 -0.085804 In -0.099476 -0.072132 37/3 1/2 1 19 -0.081007 In -0.092906 -0.069109 38/3 2/1 1 19 -0.078886 In -0.083971 -0.073801 40/3 -2/1 1 19 -0.075076 In -0.081672 -0.068479 41/3 -1/2 1 19 -0.073236 In -0.084836 -0.061635 43/3 1/2 1 19 -0.069712 In -0.080011 -0.059414 44/3 2/1 1 19 -0.068135 In -0.072638 -0.063631 46/3 -2/1 1 19 -0.065274 In -0.070912 -0.059635 47/3 -1/2 1 19 -0.063879 In -0.073953 -0.053805 49/3 1/2 1 19 -0.061182 In -0.070259 -0.052105 50/3 2/1 1 19 -0.059963 In -0.064001 -0.055925 -49/4 -1/1 1 19 0.081613 In 0.077313 0.085912 -47/4 1/1 1 19 0.085132 In 0.079836 0.090429 -45/4 1/1 1 19 0.088917 In 0.083366 0.094469 -43/4 -1/1 1 19 0.092997 In 0.088158 0.097837 -41/4 -1/1 1 19 0.097533 In 0.092483 0.102582 -39/4 1/1 1 19 0.102602 In 0.096116 0.109088 -37/4 1/1 1 19 0.108151 In 0.101280 0.115022 -35/4 -1/1 1 19 0.114248 In 0.108442 0.120054 -33/4 -1/1 1 19 0.121170 In 0.115060 0.127279 -31/4 1/1 1 19 0.129094 In 0.120738 0.137450 -29/4 1/1 1 19 0.138002 In 0.129000 0.147005 -27/4 -1/1 1 19 0.148087 In 0.140848 0.155325 -25/4 -1/1 1 19 0.159929 In 0.152220 0.167638 -23/4 1/1 1 19 0.174030 In 0.162319 0.185740 -21/4 1/1 1 19 0.190618 In 0.177611 0.203625 -19/4 -1/1 1 19 0.210411 In 0.200877 0.219945 -17/4 -1/1 1 19 0.235155 In 0.224833 0.245476 -15/4 1/1 1 19 0.266963 In 0.247586 0.286340 -13/4 1/1 1 19 0.308100 In 0.285015 0.331184 -11/4 -1/1 1 19 0.363359 In 0.350082 0.376637 -9/4 -1/1 1 19 0.444083 In 0.429913 0.458254 -7/4 1/1 1 19 0.573118 In 0.521561 0.624675 -5/4 1/1 1 19 0.803797 In 0.721034 0.886561 -3/4 -1/1 1 19 1.335294 In 1.309654 1.360935 -1/4 -1/1 1 19 4.166667 In 3.440184 4.893150 1/4 1/1 1 19 -4.166667 In -4.893150 -3.440184 3/4 1/1 1 19 -1.335294 In -1.360935 -1.309654 5/4 -1/1 1 19 -0.803797 In -0.886561 -0.721034 7/4 -1/1 1 19 -0.573118 In -0.624675 -0.521561 9/4 1/1 1 19 -0.444083 In -0.458254 -0.429913 11/4 1/1 1 19 -0.363359 In -0.376637 -0.350082 13/4 -1/1 1 19 -0.308100 In -0.331184 -0.285015 15/4 -1/1 1 19 -0.266963 In -0.286340 -0.247586 17/4 1/1 1 19 -0.235155 In -0.245476 -0.224833 19/4 1/1 1 19 -0.210411 In -0.219945 -0.200877 21/4 -1/1 1 19 -0.190618 In -0.203625 -0.177611 23/4 -1/1 1 19 -0.174030 In -0.185740 -0.162319 25/4 1/1 1 19 -0.159929 In -0.167638 -0.152220 27/4 1/1 1 19 -0.148087 In -0.155325 -0.140848 29/4 -1/1 1 19 -0.138002 In -0.147005 -0.129000 31/4 -1/1 1 19 -0.129094 In -0.137450 -0.120738 33/4 1/1 1 19 -0.121170 In -0.127279 -0.115060 35/4 1/1 1 19 -0.114248 In -0.120054 -0.108442 37/4 -1/1 1 19 -0.108151 In -0.115022 -0.101280 39/4 -1/1 1 19 -0.102602 In -0.109088 -0.096116 41/4 1/1 1 19 -0.097533 In -0.102582 -0.092483 43/4 1/1 1 19 -0.092997 In -0.097837 -0.088158 45/4 -1/1 1 19 -0.088917 In -0.094469 -0.083366 47/4 -1/1 1 19 -0.085132 In -0.090429 -0.079836 49/4 1/1 1 19 -0.081613 In -0.085912 -0.077313 -49/5 1/0 1 19 0.102043 In 0.101565 0.102521 -48/5 0/1 1 19 0.104167 In 0.099387 0.108946 -47/5 1/0 1 19 0.106386 In 0.105866 0.106905 -46/5 0/1 1 19 0.108696 In 0.103708 0.113683 -44/5 0/1 1 19 0.113636 In 0.108422 0.118850 -43/5 1/0 1 19 0.116282 In 0.115662 0.116903 -42/5 0/1 1 19 0.119048 In 0.113585 0.124510 -41/5 1/0 1 19 0.121955 In 0.121273 0.122637 -39/5 1/0 1 19 0.128210 In 0.127455 0.128964 -38/5 0/1 1 19 0.131579 In 0.125542 0.137616 -37/5 1/0 1 19 0.135140 In 0.134302 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