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 27 0.020000 In 0.016151 0.023849 -49/1 1/0 1 27 0.020408 In 0.020328 0.020489 -48/1 0/1 1 27 0.020833 In 0.016824 0.024843 -47/1 1/0 1 27 0.021277 In 0.021190 0.021364 -46/1 0/1 1 27 0.021739 In 0.017555 0.025923 -45/1 1/0 1 27 0.022223 In 0.022128 0.022318 -44/1 0/1 1 27 0.022727 In 0.018353 0.027101 -43/1 1/0 1 27 0.023256 In 0.023152 0.023360 -42/1 0/1 1 27 0.023810 In 0.019227 0.028392 -41/1 1/0 1 27 0.024391 In 0.024276 0.024505 -40/1 0/1 1 27 0.025000 In 0.020189 0.029811 -39/1 1/0 1 27 0.025642 In 0.025515 0.025768 -38/1 0/1 1 27 0.026316 In 0.021251 0.031380 -37/1 1/0 1 27 0.027028 In 0.026887 0.027168 -36/1 0/1 1 27 0.027778 In 0.022432 0.033124 -35/1 1/0 1 27 0.028572 In 0.028415 0.028729 -34/1 0/1 1 27 0.029412 In 0.023751 0.035072 -33/1 1/0 1 27 0.030304 In 0.030127 0.030481 -32/1 0/1 1 27 0.031250 In 0.025236 0.037264 -31/1 1/0 1 27 0.032259 In 0.032059 0.032460 -30/1 0/1 1 27 0.033333 In 0.026918 0.039748 -29/1 1/0 1 27 0.034484 In 0.034255 0.034713 -28/1 0/1 1 27 0.035714 In 0.028841 0.042588 -27/1 1/0 1 27 0.037039 In 0.036775 0.037303 -26/1 0/1 1 27 0.038462 In 0.031060 0.045863 -25/1 1/0 1 27 0.040002 In 0.039694 0.040310 -24/1 0/1 1 27 0.041667 In 0.033648 0.049685 -23/1 1/0 1 27 0.043481 In 0.043117 0.043845 -22/1 0/1 1 27 0.045455 In 0.036707 0.054202 -21/1 1/0 1 27 0.047623 In 0.047187 0.048059 -20/1 0/1 1 27 0.050000 In 0.040377 0.059623 -19/1 1/0 1 27 0.052637 In 0.052104 0.053170 -18/1 0/1 1 27 0.055556 In 0.044864 0.066247 -17/1 1/0 1 27 0.058831 In 0.058165 0.059497 -16/1 0/1 1 27 0.062500 In 0.050472 0.074528 -15/1 1/0 1 27 0.066678 In 0.065822 0.067533 -14/1 0/1 1 27 0.071429 In 0.057682 0.085175 -13/1 1/0 1 27 0.076940 In 0.075801 0.078079 -12/1 0/1 1 27 0.083333 In 0.067296 0.099371 -11/1 1/0 1 27 0.090937 In 0.089346 0.092528 -10/1 0/1 1 27 0.100000 In 0.080755 0.119245 -9/1 1/0 1 27 0.111162 In 0.108785 0.113539 -8/1 0/1 1 27 0.125000 In 0.100944 0.149056 -7/1 1/0 1 27 0.142965 In 0.139035 0.146896 -6/1 0/1 1 27 0.166667 In 0.134592 0.198742 -5/1 1/0 1 27 0.200297 In 0.192587 0.208006 -4/1 0/1 1 27 0.250000 In 0.201887 0.298113 -3/1 1/0 1 27 0.334711 In 0.313239 0.356182 -2/1 0/1 1 27 0.500000 In 0.403775 0.596225 -1/1 1/0 1 27 1.038462 In 0.838610 1.238314 0/1 0/1 1 27 1/1 1/0 1 27 -1.038462 In -1.238314 -0.838610 2/1 0/1 1 27 -0.500000 In -0.596225 -0.403775 3/1 1/0 1 27 -0.334711 In -0.356182 -0.313239 4/1 0/1 1 27 -0.250000 In -0.298113 -0.201887 5/1 1/0 1 27 -0.200297 In -0.208006 -0.192587 6/1 0/1 1 27 -0.166667 In -0.198742 -0.134592 7/1 1/0 1 27 -0.142965 In -0.146896 -0.139035 8/1 0/1 1 27 -0.125000 In -0.149056 -0.100944 9/1 1/0 1 27 -0.111162 In -0.113539 -0.108785 10/1 0/1 1 27 -0.100000 In -0.119245 -0.080755 11/1 1/0 1 27 -0.090937 In -0.092528 -0.089346 12/1 0/1 1 27 -0.083333 In -0.099371 -0.067296 13/1 1/0 1 27 -0.076940 In -0.078079 -0.075801 14/1 0/1 1 27 -0.071429 In -0.085175 -0.057682 15/1 1/0 1 27 -0.066678 In -0.067533 -0.065822 16/1 0/1 1 27 -0.062500 In -0.074528 -0.050472 17/1 1/0 1 27 -0.058831 In -0.059497 -0.058165 18/1 0/1 1 27 -0.055556 In -0.066247 -0.044864 19/1 1/0 1 27 -0.052637 In -0.053170 -0.052104 20/1 0/1 1 27 -0.050000 In -0.059623 -0.040377 21/1 1/0 1 27 -0.047623 In -0.048059 -0.047187 22/1 0/1 1 27 -0.045455 In -0.054202 -0.036707 23/1 1/0 1 27 -0.043481 In -0.043845 -0.043117 24/1 0/1 1 27 -0.041667 In -0.049685 -0.033648 25/1 1/0 1 27 -0.040002 In -0.040310 -0.039694 26/1 0/1 1 27 -0.038462 In -0.045863 -0.031060 27/1 1/0 1 27 -0.037039 In -0.037303 -0.036775 28/1 0/1 1 27 -0.035714 In -0.042588 -0.028841 29/1 1/0 1 27 -0.034484 In -0.034713 -0.034255 30/1 0/1 1 27 -0.033333 In -0.039748 -0.026918 31/1 1/0 1 27 -0.032259 In -0.032460 -0.032059 32/1 0/1 1 27 -0.031250 In -0.037264 -0.025236 33/1 1/0 1 27 -0.030304 In -0.030481 -0.030127 34/1 0/1 1 27 -0.029412 In -0.035072 -0.023751 35/1 1/0 1 27 -0.028572 In -0.028729 -0.028415 36/1 0/1 1 27 -0.027778 In -0.033124 -0.022432 37/1 1/0 1 27 -0.027028 In -0.027168 -0.026887 38/1 0/1 1 27 -0.026316 In -0.031380 -0.021251 39/1 1/0 1 27 -0.025642 In -0.025768 -0.025515 40/1 0/1 1 27 -0.025000 In -0.029811 -0.020189 41/1 1/0 1 27 -0.024391 In -0.024505 -0.024276 42/1 0/1 1 27 -0.023810 In -0.028392 -0.019227 43/1 1/0 1 27 -0.023256 In -0.023360 -0.023152 44/1 0/1 1 27 -0.022727 In -0.027101 -0.018353 45/1 1/0 1 27 -0.022223 In -0.022318 -0.022128 46/1 0/1 1 27 -0.021739 In -0.025923 -0.017555 47/1 1/0 1 27 -0.021277 In -0.021364 -0.021190 48/1 0/1 1 27 -0.020833 In -0.024843 -0.016824 49/1 1/0 1 27 -0.020408 In -0.020489 -0.020328 50/1 0/1 1 27 -0.020000 In -0.023849 -0.016151 -49/2 1/1 1 27 0.040832 In 0.036744 0.044920 -47/2 -1/1 1 27 0.042537 In 0.038617 0.046458 -45/2 1/1 1 27 0.044464 In 0.039997 0.048930 -43/2 -1/1 1 27 0.046493 In 0.042225 0.050760 -41/2 1/1 1 27 0.048804 In 0.043881 0.053727 -39/2 -1/1 1 27 0.051259 In 0.046577 0.055941 -37/2 1/1 1 27 0.054083 In 0.048600 0.059565 -35/2 -1/1 1 27 0.057114 In 0.051930 0.062299 -33/2 1/1 1 27 0.060642 In 0.054457 0.066828 -31/2 -1/1 1 27 0.064480 In 0.058672 0.070288 -29/2 1/1 1 27 0.069013 In 0.061918 0.076107 -27/2 -1/1 1 27 0.074027 In 0.067427 0.080627 -25/2 1/1 1 27 0.080064 In 0.071750 0.088378 -23/2 -1/1 1 27 0.086893 In 0.079252 0.094533 -21/2 1/1 1 27 0.095330 In 0.085292 0.105368 -19/2 -1/1 1 27 0.105171 In 0.096108 0.114235 -17/2 1/1 1 27 0.117790 In 0.105136 0.130444 -15/2 -1/1 1 27 0.133191 In 0.122069 0.144312 -13/2 1/1 1 27 0.154099 In 0.137014 0.171184 -11/2 -1/1 1 27 0.181568 In 0.167249 0.195887 -9/2 1/1 1 27 0.222781 In 0.196634 0.248928 -7/2 -1/1 1 27 0.285174 In 0.265521 0.304827 -5/2 1/1 1 27 0.402077 In 0.348111 0.456043 -3/2 -1/1 1 27 0.665289 In 0.643818 0.686761 -1/2 1/1 1 27 2.115385 In 1.515829 2.714941 1/2 -1/1 1 27 -2.115385 In -2.714941 -1.515829 3/2 1/1 1 27 -0.665289 In -0.686761 -0.643818 5/2 -1/1 1 27 -0.402077 In -0.456043 -0.348111 7/2 1/1 1 27 -0.285174 In -0.304827 -0.265521 9/2 -1/1 1 27 -0.222781 In -0.248928 -0.196634 11/2 1/1 1 27 -0.181568 In -0.195887 -0.167249 13/2 -1/1 1 27 -0.154099 In -0.171184 -0.137014 15/2 1/1 1 27 -0.133191 In -0.144312 -0.122069 17/2 -1/1 1 27 -0.117790 In -0.130444 -0.105136 19/2 1/1 1 27 -0.105171 In -0.114235 -0.096108 21/2 -1/1 1 27 -0.095330 In -0.105368 -0.085292 23/2 1/1 1 27 -0.086893 In -0.094533 -0.079252 25/2 -1/1 1 27 -0.080064 In -0.088378 -0.071750 27/2 1/1 1 27 -0.074027 In -0.080627 -0.067427 29/2 -1/1 1 27 -0.069013 In -0.076107 -0.061918 31/2 1/1 1 27 -0.064480 In -0.070288 -0.058672 33/2 -1/1 1 27 -0.060642 In -0.066828 -0.054457 35/2 1/1 1 27 -0.057114 In -0.062299 -0.051930 37/2 -1/1 1 27 -0.054083 In -0.059565 -0.048600 39/2 1/1 1 27 -0.051259 In -0.055941 -0.046577 41/2 -1/1 1 27 -0.048804 In -0.053727 -0.043881 43/2 1/1 1 27 -0.046493 In -0.050760 -0.042225 45/2 -1/1 1 27 -0.044464 In -0.048930 -0.039997 47/2 1/1 1 27 -0.042537 In -0.046458 -0.038617 49/2 -1/1 1 27 -0.040832 In -0.044920 -0.036744 -50/3 0/1 3 9 0.060000 In 0.048453 0.071547 -49/3 1/0 3 9 0.061233 In 0.060512 0.061954 -47/3 1/0 3 9 0.063839 In 0.063055 0.064624 -46/3 0/1 3 9 0.065217 In 0.052666 0.077768 -44/3 0/1 3 9 0.068182 In 0.055060 0.081303 -43/3 1/0 3 9 0.069780 In 0.068843 0.070717 -41/3 1/0 3 9 0.073185 In 0.072155 0.074216 -40/3 0/1 3 9 0.075000 In 0.060566 0.089434 -38/3 0/1 3 9 0.078947 In 0.063754 0.094141 -37/3 1/0 3 9 0.081101 In 0.079835 0.082366 -35/3 1/0 3 9 0.085738 In 0.084323 0.087152 -34/3 0/1 3 9 0.088235 In 0.071254 0.105216 -32/3 0/1 3 9 0.093750 In 0.075708 0.111792 -31/3 1/0 3 9 0.096808 In 0.095005 0.098611 -29/3 1/0 3 9 0.103489 In 0.101429 0.105550 -28/3 0/1 3 9 0.107143 In 0.086523 0.127763 -26/3 0/1 3 9 0.115385 In 0.093179 0.137590 -25/3 1/0 3 9 0.120064 In 0.117291 0.122837 -23/3 1/0 3 9 0.130517 In 0.127241 0.133793 -22/3 0/1 3 9 0.136364 In 0.110120 0.162607 -20/3 0/1 3 9 0.150000 In 0.121132 0.178868 -19/3 1/0 3 9 0.158041 In 0.153238 0.162843 -17/3 1/0 3 9 0.176674 In 0.170674 0.182675 -16/3 0/1 3 9 0.187500 In 0.151416 0.223584 -14/3 0/1 3 9 0.214286 In 0.173046 0.255525 -13/3 1/0 3 9 0.231225 In 0.220956 0.241494 -11/3 1/0 3 9 0.273481 In 0.259127 0.287835 -10/3 0/1 3 9 0.300000 In 0.242265 0.357735 -8/3 0/1 3 9 0.375000 In 0.302831 0.447169 -7/3 1/0 3 9 0.431507 In 0.395917 0.467097 -5/3 1/0 3 9 0.608108 In 0.537890 0.678326 -4/3 0/1 3 9 0.750000 In 0.605662 0.894338 -2/3 0/1 3 9 1.500000 In 1.211325 1.788675 -1/3 1/0 3 9 4.500000 In 1.901924 7.098076 1/3 1/0 3 9 -4.500000 In -7.098076 -1.901924 2/3 0/1 3 9 -1.500000 In -1.788675 -1.211325 4/3 0/1 3 9 -0.750000 In -0.894338 -0.605662 5/3 1/0 3 9 -0.608108 In -0.678326 -0.537890 7/3 1/0 3 9 -0.431507 In -0.467097 -0.395917 8/3 0/1 3 9 -0.375000 In -0.447169 -0.302831 10/3 0/1 3 9 -0.300000 In -0.357735 -0.242265 11/3 1/0 3 9 -0.273481 In -0.287835 -0.259127 13/3 1/0 3 9 -0.231225 In -0.241494 -0.220956 14/3 0/1 3 9 -0.214286 In -0.255525 -0.173046 16/3 0/1 3 9 -0.187500 In -0.223584 -0.151416 17/3 1/0 3 9 -0.176674 In -0.182675 -0.170674 19/3 1/0 3 9 -0.158041 In -0.162843 -0.153238 20/3 0/1 3 9 -0.150000 In -0.178868 -0.121132 22/3 0/1 3 9 -0.136364 In -0.162607 -0.110120 23/3 1/0 3 9 -0.130517 In -0.133793 -0.127241 25/3 1/0 3 9 -0.120064 In -0.122837 -0.117291 26/3 0/1 3 9 -0.115385 In -0.137590 -0.093179 28/3 0/1 3 9 -0.107143 In -0.127763 -0.086523 29/3 1/0 3 9 -0.103489 In -0.105550 -0.101429 31/3 1/0 3 9 -0.096808 In -0.098611 -0.095005 32/3 0/1 3 9 -0.093750 In -0.111792 -0.075708 34/3 0/1 3 9 -0.088235 In -0.105216 -0.071254 35/3 1/0 3 9 -0.085738 In -0.087152 -0.084323 37/3 1/0 3 9 -0.081101 In -0.082366 -0.079835 38/3 0/1 3 9 -0.078947 In -0.094141 -0.063754 40/3 0/1 3 9 -0.075000 In -0.089434 -0.060566 41/3 1/0 3 9 -0.073185 In -0.074216 -0.072155 43/3 1/0 3 9 -0.069780 In -0.070717 -0.068843 44/3 0/1 3 9 -0.068182 In -0.081303 -0.055060 46/3 0/1 3 9 -0.065217 In -0.077768 -0.052666 47/3 1/0 3 9 -0.063839 In -0.064624 -0.063055 49/3 1/0 3 9 -0.061233 In -0.061954 -0.060512 50/3 0/1 3 9 -0.060000 In -0.071547 -0.048453 -49/4 -1/1 1 27 0.081618 In 0.078011 0.085225 -47/4 1/1 1 27 0.085125 In 0.080681 0.089568 -45/4 1/1 1 27 0.088909 In 0.084252 0.093566 -43/4 -1/1 1 27 0.093005 In 0.088946 0.097064 -41/4 -1/1 1 27 0.097541 In 0.093305 0.101777 -39/4 1/1 1 27 0.102591 In 0.097150 0.108032 -37/4 1/1 1 27 0.108138 In 0.102374 0.113902 -35/4 -1/1 1 27 0.114259 In 0.109389 0.119129 -33/4 -1/1 1 27 0.121182 In 0.116057 0.126307 -31/4 1/1 1 27 0.129076 In 0.122066 0.136085 -29/4 1/1 1 27 0.137981 In 0.130429 0.145533 -27/4 -1/1 1 27 0.148105 In 0.142033 0.154177 -25/4 -1/1 1 27 0.159950 In 0.153484 0.166417 -23/4 1/1 1 27 0.173995 In 0.164172 0.183819 -21/4 1/1 1 27 0.190576 In 0.179665 0.201487 -19/4 -1/1 1 27 0.210445 In 0.202448 0.218443 -17/4 -1/1 1 27 0.235196 In 0.226538 0.243854 -15/4 1/1 1 27 0.266875 In 0.250621 0.283129 -13/4 1/1 1 27 0.307979 In 0.288616 0.327342 -11/4 -1/1 1 27 0.363442 In 0.352305 0.374578 -9/4 -1/1 1 27 0.444190 In 0.432305 0.456075 -7/4 1/1 1 27 0.572617 In 0.529381 0.615853 -5/4 1/1 1 27 0.802671 In 0.733286 0.872055 -3/4 -1/1 1 27 1.334711 In 1.313239 1.356182 -1/4 -1/1 1 27 4.115385 In 3.515829 4.714941 1/4 1/1 1 27 -4.115385 In -4.714941 -3.515829 3/4 1/1 1 27 -1.334711 In -1.356182 -1.313239 5/4 -1/1 1 27 -0.802671 In -0.872055 -0.733286 7/4 -1/1 1 27 -0.572617 In -0.615853 -0.529381 9/4 1/1 1 27 -0.444190 In -0.456075 -0.432305 11/4 1/1 1 27 -0.363442 In -0.374578 -0.352305 13/4 -1/1 1 27 -0.307979 In -0.327342 -0.288616 15/4 -1/1 1 27 -0.266875 In -0.283129 -0.250621 17/4 1/1 1 27 -0.235196 In -0.243854 -0.226538 19/4 1/1 1 27 -0.210445 In -0.218443 -0.202448 21/4 -1/1 1 27 -0.190576 In -0.201487 -0.179665 23/4 -1/1 1 27 -0.173995 In -0.183819 -0.164172 25/4 1/1 1 27 -0.159950 In -0.166417 -0.153484 27/4 1/1 1 27 -0.148105 In -0.154177 -0.142033 29/4 -1/1 1 27 -0.137981 In -0.145533 -0.130429 31/4 -1/1 1 27 -0.129076 In -0.136085 -0.122066 33/4 1/1 1 27 -0.121182 In -0.126307 -0.116057 35/4 1/1 1 27 -0.114259 In -0.119129 -0.109389 37/4 -1/1 1 27 -0.108138 In -0.113902 -0.102374 39/4 -1/1 1 27 -0.102591 In -0.108032 -0.097150 41/4 1/1 1 27 -0.097541 In -0.101777 -0.093305 43/4 1/1 1 27 -0.093005 In -0.097064 -0.088946 45/4 -1/1 1 27 -0.088909 In -0.093566 -0.084252 47/4 -1/1 1 27 -0.085125 In -0.089568 -0.080681 49/4 1/1 1 27 -0.081618 In -0.085225 -0.078011 -49/5 1/0 1 27 0.102042 In 0.101642 0.102443 -48/5 -2/1 1 27 0.104141 In 0.100967 0.107316 -47/5 -1/2 1 27 0.106351 In 0.098597 0.114105 -46/5 0/1 1 27 0.108696 In 0.104512 0.112879 -44/5 0/1 1 27 0.113636 In 0.109262 0.118010 -43/5 1/2 1 27 0.116321 In 0.106850 0.125793 -42/5 2/1 1 27 0.119100 In 0.113426 0.124773 -41/5 1/0 1 27 0.121954 In 0.121381 0.122526 -39/5 1/0 1 27 0.128208 In 0.127576 0.128841 -38/5 -2/1 1 27 0.131541 In 0.127809 0.135273 -37/5 -1/2 1 27 0.135085 In 0.125385 0.144785 -36/5 0/1 1 27 0.138889 In 0.133543 0.144235 -34/5 0/1 1 27 0.147059 In 0.141399 0.152719 -33/5 1/2 1 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