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 13 0.020000 In 0.014453 0.025547 -49/1 1/0 1 13 0.020409 In 0.020293 0.020524 -48/1 0/1 1 13 0.020833 In 0.015055 0.026611 -47/1 1/0 1 13 0.021277 In 0.021152 0.021403 -46/1 0/1 1 13 0.021739 In 0.015710 0.027768 -45/1 1/0 1 13 0.022223 In 0.022086 0.022360 -44/1 0/1 1 13 0.022727 In 0.016424 0.029031 -43/1 1/0 1 13 0.023257 In 0.023107 0.023407 -42/1 0/1 1 13 0.023810 In 0.017206 0.030413 -41/1 1/0 1 13 0.024391 In 0.024226 0.024556 -40/1 0/1 1 13 0.025000 In 0.018066 0.031934 -39/1 1/0 1 13 0.025642 In 0.025460 0.025825 -38/1 0/1 1 13 0.026316 In 0.019017 0.033614 -37/1 1/0 1 13 0.027029 In 0.026826 0.027231 -36/1 0/1 1 13 0.027778 In 0.020074 0.035482 -35/1 1/0 1 13 0.028573 In 0.028347 0.028800 -34/1 0/1 1 13 0.029412 In 0.021254 0.037569 -33/1 1/0 1 13 0.030305 In 0.030050 0.030560 -32/1 0/1 1 13 0.031250 In 0.022583 0.039917 -31/1 1/0 1 13 0.032261 In 0.031972 0.032549 -30/1 0/1 1 13 0.033333 In 0.024088 0.042578 -29/1 1/0 1 13 0.034486 In 0.034156 0.034816 -28/1 0/1 1 13 0.035714 In 0.025809 0.045620 -27/1 1/0 1 13 0.037041 In 0.036660 0.037421 -26/1 0/1 1 13 0.038462 In 0.027794 0.049129 -25/1 1/0 1 13 0.040005 In 0.039561 0.040449 -24/1 0/1 1 13 0.041667 In 0.030110 0.053223 -23/1 1/0 1 13 0.043485 In 0.042960 0.044009 -22/1 0/1 1 13 0.045455 In 0.032848 0.058061 -21/1 1/0 1 13 0.047627 In 0.046998 0.048256 -20/1 0/1 1 13 0.050000 In 0.036132 0.063868 -19/1 1/0 1 13 0.052643 In 0.051874 0.053411 -18/1 0/1 1 13 0.055556 In 0.040147 0.070964 -17/1 1/0 1 13 0.058839 In 0.057879 0.059799 -16/1 0/1 1 13 0.062500 In 0.045166 0.079834 -15/1 1/0 1 13 0.066689 In 0.065456 0.067923 -14/1 0/1 1 13 0.071429 In 0.051618 0.091239 -13/1 1/0 1 13 0.076958 In 0.075316 0.078600 -12/1 0/1 1 13 0.083333 In 0.060221 0.106446 -11/1 1/0 1 13 0.090967 In 0.088673 0.093261 -10/1 0/1 1 13 0.100000 In 0.072265 0.127735 -9/1 1/0 1 13 0.111217 In 0.107789 0.114644 -8/1 0/1 1 13 0.125000 In 0.090331 0.159669 -7/1 1/0 1 13 0.143082 In 0.137413 0.148751 -6/1 0/1 1 13 0.166667 In 0.120442 0.212892 -5/1 1/0 1 13 0.200617 In 0.189489 0.211746 -4/1 0/1 1 13 0.250000 In 0.180662 0.319338 -3/1 1/0 1 13 0.336207 In 0.305125 0.367289 -2/1 0/1 1 13 0.500000 In 0.361325 0.638675 -1/1 1/0 1 13 1.083333 In 0.782871 1.383796 0/1 0/1 1 13 1/1 1/0 1 13 -1.083333 In -1.383796 -0.782871 2/1 0/1 1 13 -0.500000 In -0.638675 -0.361325 3/1 1/0 1 13 -0.336207 In -0.367289 -0.305125 4/1 0/1 1 13 -0.250000 In -0.319338 -0.180662 5/1 1/0 1 13 -0.200617 In -0.211746 -0.189489 6/1 0/1 1 13 -0.166667 In -0.212892 -0.120442 7/1 1/0 1 13 -0.143082 In -0.148751 -0.137413 8/1 0/1 1 13 -0.125000 In -0.159669 -0.090331 9/1 1/0 1 13 -0.111217 In -0.114644 -0.107789 10/1 0/1 1 13 -0.100000 In -0.127735 -0.072265 11/1 1/0 1 13 -0.090967 In -0.093261 -0.088673 12/1 0/1 1 13 -0.083333 In -0.106446 -0.060221 13/1 1/0 1 13 -0.076958 In -0.078600 -0.075316 14/1 0/1 1 13 -0.071429 In -0.091239 -0.051618 15/1 1/0 1 13 -0.066689 In -0.067923 -0.065456 16/1 0/1 1 13 -0.062500 In -0.079834 -0.045166 17/1 1/0 1 13 -0.058839 In -0.059799 -0.057879 18/1 0/1 1 13 -0.055556 In -0.070964 -0.040147 19/1 1/0 1 13 -0.052643 In -0.053411 -0.051874 20/1 0/1 1 13 -0.050000 In -0.063868 -0.036132 21/1 1/0 1 13 -0.047627 In -0.048256 -0.046998 22/1 0/1 1 13 -0.045455 In -0.058061 -0.032848 23/1 1/0 1 13 -0.043485 In -0.044009 -0.042960 24/1 0/1 1 13 -0.041667 In -0.053223 -0.030110 25/1 1/0 1 13 -0.040005 In -0.040449 -0.039561 26/1 0/1 1 13 -0.038462 In -0.049129 -0.027794 27/1 1/0 1 13 -0.037041 In -0.037421 -0.036660 28/1 0/1 1 13 -0.035714 In -0.045620 -0.025809 29/1 1/0 1 13 -0.034486 In -0.034816 -0.034156 30/1 0/1 1 13 -0.033333 In -0.042578 -0.024088 31/1 1/0 1 13 -0.032261 In -0.032549 -0.031972 32/1 0/1 1 13 -0.031250 In -0.039917 -0.022583 33/1 1/0 1 13 -0.030305 In -0.030560 -0.030050 34/1 0/1 1 13 -0.029412 In -0.037569 -0.021254 35/1 1/0 1 13 -0.028573 In -0.028800 -0.028347 36/1 0/1 1 13 -0.027778 In -0.035482 -0.020074 37/1 1/0 1 13 -0.027029 In -0.027231 -0.026826 38/1 0/1 1 13 -0.026316 In -0.033614 -0.019017 39/1 1/0 1 13 -0.025642 In -0.025825 -0.025460 40/1 0/1 1 13 -0.025000 In -0.031934 -0.018066 41/1 1/0 1 13 -0.024391 In -0.024556 -0.024226 42/1 0/1 1 13 -0.023810 In -0.030413 -0.017206 43/1 1/0 1 13 -0.023257 In -0.023407 -0.023107 44/1 0/1 1 13 -0.022727 In -0.029031 -0.016424 45/1 1/0 1 13 -0.022223 In -0.022360 -0.022086 46/1 0/1 1 13 -0.021739 In -0.027768 -0.015710 47/1 1/0 1 13 -0.021277 In -0.021403 -0.021152 48/1 0/1 1 13 -0.020833 In -0.026611 -0.015055 49/1 1/0 1 13 -0.020409 In -0.020524 -0.020293 50/1 0/1 1 13 -0.020000 In -0.025547 -0.014453 -49/2 -1/1 1 13 0.040786 In 0.035356 0.046215 -47/2 1/1 1 13 0.042589 In 0.036437 0.048742 -45/2 -1/1 1 13 0.044408 In 0.038519 0.050298 -43/2 1/1 1 13 0.046555 In 0.039805 0.053305 -41/2 -1/1 1 13 0.048737 In 0.042302 0.055172 -39/2 1/1 1 13 0.051335 In 0.043859 0.058812 -37/2 -1/1 1 13 0.054001 In 0.046910 0.061092 -35/2 1/1 1 13 0.057209 In 0.048832 0.065587 -33/2 -1/1 1 13 0.060540 In 0.052644 0.068435 -31/2 1/1 1 13 0.064601 In 0.055077 0.074126 -29/2 -1/1 1 13 0.068880 In 0.059975 0.077785 -27/2 1/1 1 13 0.074187 In 0.063153 0.085222 -25/2 -1/1 1 13 0.079887 In 0.069679 0.090094 -23/2 1/1 1 13 0.087115 In 0.074005 0.100224 -21/2 -1/1 1 13 0.095080 In 0.083129 0.107032 -19/2 1/1 1 13 0.105499 In 0.089361 0.121636 -17/2 -1/1 1 13 0.117412 In 0.103013 0.131811 -15/2 1/1 1 13 0.133721 In 0.112758 0.154683 -13/2 -1/1 1 13 0.153461 In 0.135400 0.171521 -11/2 1/1 1 13 0.182570 In 0.152753 0.212387 -9/2 -1/1 1 13 0.221483 In 0.197492 0.245474 -7/2 1/1 1 13 0.287736 In 0.236714 0.338758 -5/2 -1/1 1 13 0.398148 In 0.364763 0.431533 -3/2 1/1 1 13 0.681034 In 0.525623 0.836446 -1/2 -1/1 1 13 2.083333 In 1.782871 2.383796 1/2 1/1 1 13 -2.083333 In -2.383796 -1.782871 3/2 -1/1 1 13 -0.681034 In -0.836446 -0.525623 5/2 1/1 1 13 -0.398148 In -0.431533 -0.364763 7/2 -1/1 1 13 -0.287736 In -0.338758 -0.236714 9/2 1/1 1 13 -0.221483 In -0.245474 -0.197492 11/2 -1/1 1 13 -0.182570 In -0.212387 -0.152753 13/2 1/1 1 13 -0.153461 In -0.171521 -0.135400 15/2 -1/1 1 13 -0.133721 In -0.154683 -0.112758 17/2 1/1 1 13 -0.117412 In -0.131811 -0.103013 19/2 -1/1 1 13 -0.105499 In -0.121636 -0.089361 21/2 1/1 1 13 -0.095080 In -0.107032 -0.083129 23/2 -1/1 1 13 -0.087115 In -0.100224 -0.074005 25/2 1/1 1 13 -0.079887 In -0.090094 -0.069679 27/2 -1/1 1 13 -0.074187 In -0.085222 -0.063153 29/2 1/1 1 13 -0.068880 In -0.077785 -0.059975 31/2 -1/1 1 13 -0.064601 In -0.074126 -0.055077 33/2 1/1 1 13 -0.060540 In -0.068435 -0.052644 35/2 -1/1 1 13 -0.057209 In -0.065587 -0.048832 37/2 1/1 1 13 -0.054001 In -0.061092 -0.046910 39/2 -1/1 1 13 -0.051335 In -0.058812 -0.043859 41/2 1/1 1 13 -0.048737 In -0.055172 -0.042302 43/2 -1/1 1 13 -0.046555 In -0.053305 -0.039805 45/2 1/1 1 13 -0.044408 In -0.050298 -0.038519 47/2 -1/1 1 13 -0.042589 In -0.048742 -0.036437 49/2 1/1 1 13 -0.040786 In -0.046215 -0.035356 -50/3 0/1 1 13 0.060000 In 0.054453 0.065547 -49/3 1/0 1 13 0.061226 In 0.060880 0.061573 -47/3 1/0 1 13 0.063832 In 0.063455 0.064209 -46/3 0/1 1 13 0.065217 In 0.059188 0.071247 -44/3 0/1 1 13 0.068182 In 0.061878 0.074485 -43/3 1/0 1 13 0.069770 In 0.069320 0.070220 -41/3 1/0 1 13 0.073174 In 0.072679 0.073669 -40/3 0/1 1 13 0.075000 In 0.068066 0.081934 -38/3 0/1 1 13 0.078947 In 0.071649 0.086246 -37/3 1/0 1 13 0.081086 In 0.080478 0.081693 -35/3 1/0 1 13 0.085720 In 0.085040 0.086399 -34/3 0/1 1 13 0.088235 In 0.080078 0.096393 -32/3 0/1 1 13 0.093750 In 0.085083 0.102417 -31/3 1/0 1 13 0.096782 In 0.095916 0.097648 -29/3 1/0 1 13 0.103458 In 0.102468 0.104447 -28/3 0/1 1 13 0.107143 In 0.097237 0.117048 -26/3 0/1 1 13 0.115385 In 0.104717 0.126052 -25/3 1/0 1 13 0.120015 In 0.118683 0.121346 -23/3 1/0 1 13 0.130454 In 0.128881 0.132027 -22/3 0/1 1 13 0.136364 In 0.123757 0.148970 -20/3 0/1 1 13 0.150000 In 0.136132 0.163868 -19/3 1/0 1 13 0.157928 In 0.155623 0.160234 -17/3 1/0 1 13 0.176518 In 0.173638 0.179397 -16/3 0/1 1 13 0.187500 In 0.170166 0.204834 -14/3 0/1 1 13 0.214286 In 0.194475 0.234096 -13/3 1/0 1 13 0.230874 In 0.225949 0.235800 -11/3 1/0 1 13 0.272901 In 0.266020 0.279782 -10/3 0/1 1 13 0.300000 In 0.272265 0.327735 -8/3 0/1 1 13 0.375000 In 0.340331 0.409669 -7/3 1/0 1 13 0.429245 In 0.412238 0.446253 -5/3 1/0 1 13 0.601852 In 0.568467 0.635237 -4/3 0/1 1 13 0.750000 In 0.680662 0.819338 -2/3 0/1 1 13 1.500000 In 1.361325 1.638675 -1/3 1/0 1 13 3.250000 In 2.348612 4.151388 1/3 1/0 1 13 -3.250000 In -4.151388 -2.348612 2/3 0/1 1 13 -1.500000 In -1.638675 -1.361325 4/3 0/1 1 13 -0.750000 In -0.819338 -0.680662 5/3 1/0 1 13 -0.601852 In -0.635237 -0.568467 7/3 1/0 1 13 -0.429245 In -0.446253 -0.412238 8/3 0/1 1 13 -0.375000 In -0.409669 -0.340331 10/3 0/1 1 13 -0.300000 In -0.327735 -0.272265 11/3 1/0 1 13 -0.272901 In -0.279782 -0.266020 13/3 1/0 1 13 -0.230874 In -0.235800 -0.225949 14/3 0/1 1 13 -0.214286 In -0.234096 -0.194475 16/3 0/1 1 13 -0.187500 In -0.204834 -0.170166 17/3 1/0 1 13 -0.176518 In -0.179397 -0.173638 19/3 1/0 1 13 -0.157928 In -0.160234 -0.155623 20/3 0/1 1 13 -0.150000 In -0.163868 -0.136132 22/3 0/1 1 13 -0.136364 In -0.148970 -0.123757 23/3 1/0 1 13 -0.130454 In -0.132027 -0.128881 25/3 1/0 1 13 -0.120015 In -0.121346 -0.118683 26/3 0/1 1 13 -0.115385 In -0.126052 -0.104717 28/3 0/1 1 13 -0.107143 In -0.117048 -0.097237 29/3 1/0 1 13 -0.103458 In -0.104447 -0.102468 31/3 1/0 1 13 -0.096782 In -0.097648 -0.095916 32/3 0/1 1 13 -0.093750 In -0.102417 -0.085083 34/3 0/1 1 13 -0.088235 In -0.096393 -0.080078 35/3 1/0 1 13 -0.085720 In -0.086399 -0.085040 37/3 1/0 1 13 -0.081086 In -0.081693 -0.080478 38/3 0/1 1 13 -0.078947 In -0.086246 -0.071649 40/3 0/1 1 13 -0.075000 In -0.081934 -0.068066 41/3 1/0 1 13 -0.073174 In -0.073669 -0.072679 43/3 1/0 1 13 -0.069770 In -0.070220 -0.069320 44/3 0/1 1 13 -0.068182 In -0.074485 -0.061878 46/3 0/1 1 13 -0.065217 In -0.071247 -0.059188 47/3 1/0 1 13 -0.063832 In -0.064209 -0.063455 49/3 1/0 1 13 -0.061226 In -0.061573 -0.060880 50/3 0/1 1 13 -0.060000 In -0.065547 -0.054453 -49/4 -1/1 1 13 0.081603 In 0.076405 0.086802 -47/4 1/1 1 13 0.085144 In 0.078741 0.091548 -45/4 1/1 1 13 0.088930 In 0.082219 0.095642 -43/4 -1/1 1 13 0.092986 In 0.087135 0.098836 -41/4 -1/1 1 13 0.097520 In 0.091415 0.103625 -39/4 1/1 1 13 0.102620 In 0.094779 0.110461 -37/4 1/1 1 13 0.108170 In 0.099864 0.116477 -35/4 -1/1 1 13 0.114230 In 0.107211 0.121249 -33/4 -1/1 1 13 0.121150 In 0.113764 0.128536 -31/4 1/1 1 13 0.129123 In 0.119021 0.139225 -29/4 1/1 1 13 0.138035 In 0.127151 0.148919 -27/4 -1/1 1 13 0.148058 In 0.139307 0.156810 -25/4 -1/1 1 13 0.159897 In 0.150576 0.169217 -23/4 1/1 1 13 0.174084 In 0.159926 0.188242 -21/4 1/1 1 13 0.190684 In 0.174958 0.206409 -19/4 -1/1 1 13 0.210358 In 0.198831 0.221885 -17/4 -1/1 1 13 0.235091 In 0.222611 0.247570 -15/4 1/1 1 13 0.267100 In 0.243671 0.290529 -13/4 1/1 1 13 0.308288 In 0.280376 0.336200 -11/4 -1/1 1 13 0.363232 In 0.347176 0.379287 -9/4 -1/1 1 13 0.443916 In 0.426780 0.461053 -7/4 1/1 1 13 0.573899 In 0.511539 0.636260 -5/4 1/1 1 13 0.805556 In 0.705401 0.905710 -3/4 -1/1 1 13 1.336207 In 1.305125 1.367289 -1/4 -1/1 1 13 4.250000 In 3.348612 5.151388 1/4 1/1 1 13 -4.250000 In -5.151388 -3.348612 3/4 1/1 1 13 -1.336207 In -1.367289 -1.305125 5/4 -1/1 1 13 -0.805556 In -0.905710 -0.705401 7/4 -1/1 1 13 -0.573899 In -0.636260 -0.511539 9/4 1/1 1 13 -0.443916 In -0.461053 -0.426780 11/4 1/1 1 13 -0.363232 In -0.379287 -0.347176 13/4 -1/1 1 13 -0.308288 In -0.336200 -0.280376 15/4 -1/1 1 13 -0.267100 In -0.290529 -0.243671 17/4 1/1 1 13 -0.235091 In -0.247570 -0.222611 19/4 1/1 1 13 -0.210358 In -0.221885 -0.198831 21/4 -1/1 1 13 -0.190684 In -0.206409 -0.174958 23/4 -1/1 1 13 -0.174084 In -0.188242 -0.159926 25/4 1/1 1 13 -0.159897 In -0.169217 -0.150576 27/4 1/1 1 13 -0.148058 In -0.156810 -0.139307 29/4 -1/1 1 13 -0.138035 In -0.148919 -0.127151 31/4 -1/1 1 13 -0.129123 In -0.139225 -0.119021 33/4 1/1 1 13 -0.121150 In -0.128536 -0.113764 35/4 1/1 1 13 -0.114230 In -0.121249 -0.107211 37/4 -1/1 1 13 -0.108170 In -0.116477 -0.099864 39/4 -1/1 1 13 -0.102620 In -0.110461 -0.094779 41/4 1/1 1 13 -0.097520 In -0.103625 -0.091415 43/4 1/1 1 13 -0.092986 In -0.098836 -0.087135 45/4 -1/1 1 13 -0.088930 In -0.095642 -0.082219 47/4 -1/1 1 13 -0.085144 In -0.091548 -0.078741 49/4 1/1 1 13 -0.081603 In -0.086802 -0.076405 -49/5 1/2 1 13 0.102108 In 0.090210 0.114007 -48/5 0/1 1 13 0.104167 In 0.098389 0.109945 -47/5 1/0 1 13 0.106387 In 0.105759 0.107014 -46/5 2/1 1 13 0.108784 In 0.101443 0.116125 -44/5 -2/1 1 13 0.113575 In 0.108703 0.118447 -43/5 1/0 1 13 0.116284 In 0.115534 0.117034 -42/5 0/1 1 13 0.119048 In 0.112444 0.125651 -41/5 -1/2 1 13 0.121865 In 0.109160 0.134570 -39/5 1/2 1 13 0.128313 In 0.113177 0.143448 -38/5 0/1 1 13 0.131579 In 0.124280 0.138878 -37/5 1/0 1 13 0.135143 In 0.134130 0.136156 -36/5 2/1 1 13 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