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 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-0.040795 In -0.045286 -0.036304 -50/3 0/1 1 19 0.060000 In 0.055412 0.064588 -49/3 1/0 1 19 0.061226 In 0.060939 0.061512 -47/3 1/0 1 19 0.063831 In 0.063520 0.064143 -46/3 0/1 1 19 0.065217 In 0.060230 0.070205 -44/3 0/1 1 19 0.068182 In 0.062968 0.073396 -43/3 1/0 1 19 0.069769 In 0.069397 0.070142 -41/3 1/0 1 19 0.073173 In 0.072764 0.073582 -40/3 0/1 1 19 0.075000 In 0.069265 0.080735 -38/3 0/1 1 19 0.078947 In 0.072910 0.084985 -37/3 1/0 1 19 0.081084 In 0.080581 0.081587 -35/3 1/0 1 19 0.085718 In 0.085156 0.086280 -34/3 0/1 1 19 0.088235 In 0.081488 0.094983 -32/3 0/1 1 19 0.093750 In 0.086581 0.100919 -31/3 1/0 1 19 0.096779 In 0.096063 0.097496 -29/3 1/0 1 19 0.103455 In 0.102636 0.104273 -28/3 0/1 1 19 0.107143 In 0.098949 0.115336 -26/3 0/1 1 19 0.115385 In 0.106561 0.124208 -25/3 1/0 1 19 0.120010 In 0.118909 0.121111 -23/3 1/0 1 19 0.130448 In 0.129147 0.131749 -22/3 0/1 1 19 0.136364 In 0.125936 0.146792 -20/3 0/1 1 19 0.150000 In 0.138529 0.161471 -19/3 1/0 1 19 0.157918 In 0.156011 0.159825 -17/3 1/0 1 19 0.176503 In 0.174121 0.178885 -16/3 0/1 1 19 0.187500 In 0.173162 0.201838 -14/3 0/1 1 19 0.214286 In 0.197899 0.230673 -13/3 1/0 1 19 0.230841 In 0.226767 0.234915 -11/3 1/0 1 19 0.272846 In 0.267155 0.278536 -10/3 0/1 1 19 0.300000 In 0.277058 0.322942 -8/3 0/1 1 19 0.375000 In 0.346323 0.403677 -7/3 1/0 1 19 0.429032 In 0.414971 0.443093 -5/3 1/0 1 19 0.601266 In 0.573678 0.628854 -4/3 0/1 1 19 0.750000 In 0.692646 0.807354 -2/3 0/1 1 19 1.500000 In 1.385292 1.614708 -1/3 1/0 1 19 3.166667 In 2.440184 3.893150 1/3 1/0 1 19 -3.166667 In -3.893150 -2.440184 2/3 0/1 1 19 -1.500000 In -1.614708 -1.385292 4/3 0/1 1 19 -0.750000 In -0.807354 -0.692646 5/3 1/0 1 19 -0.601266 In -0.628854 -0.573678 7/3 1/0 1 19 -0.429032 In -0.443093 -0.414971 8/3 0/1 1 19 -0.375000 In -0.403677 -0.346323 10/3 0/1 1 19 -0.300000 In -0.322942 -0.277058 11/3 1/0 1 19 -0.272846 In -0.278536 -0.267155 13/3 1/0 1 19 -0.230841 In -0.234915 -0.226767 14/3 0/1 1 19 -0.214286 In -0.230673 -0.197899 16/3 0/1 1 19 -0.187500 In -0.201838 -0.173162 17/3 1/0 1 19 -0.176503 In -0.178885 -0.174121 19/3 1/0 1 19 -0.157918 In -0.159825 -0.156011 20/3 0/1 1 19 -0.150000 In -0.161471 -0.138529 22/3 0/1 1 19 -0.136364 In -0.146792 -0.125936 23/3 1/0 1 19 -0.130448 In -0.131749 -0.129147 25/3 1/0 1 19 -0.120010 In -0.121111 -0.118909 26/3 0/1 1 19 -0.115385 In -0.124208 -0.106561 28/3 0/1 1 19 -0.107143 In -0.115336 -0.098949 29/3 1/0 1 19 -0.103455 In -0.104273 -0.102636 31/3 1/0 1 19 -0.096779 In -0.097496 -0.096063 32/3 0/1 1 19 -0.093750 In -0.100919 -0.086581 34/3 0/1 1 19 -0.088235 In -0.094983 -0.081488 35/3 1/0 1 19 -0.085718 In -0.086280 -0.085156 37/3 1/0 1 19 -0.081084 In -0.081587 -0.080581 38/3 0/1 1 19 -0.078947 In -0.084985 -0.072910 40/3 0/1 1 19 -0.075000 In -0.080735 -0.069265 41/3 1/0 1 19 -0.073173 In -0.073582 -0.072764 43/3 1/0 1 19 -0.069769 In -0.070142 -0.069397 44/3 0/1 1 19 -0.068182 In -0.073396 -0.062968 46/3 0/1 1 19 -0.065217 In -0.070205 -0.060230 47/3 1/0 1 19 -0.063831 In -0.064143 -0.063520 49/3 1/0 1 19 -0.061226 In -0.061512 -0.060939 50/3 0/1 1 19 -0.060000 In -0.064588 -0.055412 -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 1/2 1 19 0.102087 In 0.092245 0.111929 -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 2/1 1 19 0.108756 In 0.102684 0.114828 -44/5 -2/1 1 19 0.113594 In 0.109565 0.117624 -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 -1/2 1 19 0.121892 In 0.111383 0.132401 -39/5 1/2 1 19 0.128279 In 0.115759 0.140798 -38/5 0/1 1 19 0.131579 In 0.125542 0.137616 -37/5 1/0 1 19 0.135140 In 0.134302 0.135978 -36/5 2/1 1 19 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