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 31 0.020000 In 0.016408 0.023592 -49/1 1/0 1 31 0.020408 In 0.020334 0.020483 -48/1 0/1 1 31 0.020833 In 0.017092 0.024575 -47/1 1/0 1 31 0.021277 In 0.021196 0.021358 -46/1 0/1 1 31 0.021739 In 0.017835 0.025644 -45/1 1/0 1 31 0.022223 In 0.022134 0.022311 -44/1 0/1 1 31 0.022727 In 0.018645 0.026809 -43/1 1/0 1 31 0.023256 In 0.023159 0.023353 -42/1 0/1 1 31 0.023810 In 0.019533 0.028086 -41/1 1/0 1 31 0.024391 In 0.024284 0.024498 -40/1 0/1 1 31 0.025000 In 0.020510 0.029490 -39/1 1/0 1 31 0.025642 In 0.025523 0.025760 -38/1 0/1 1 31 0.026316 In 0.021589 0.031042 -37/1 1/0 1 31 0.027028 In 0.026896 0.027159 -36/1 0/1 1 31 0.027778 In 0.022789 0.032767 -35/1 1/0 1 31 0.028572 In 0.028426 0.028719 -34/1 0/1 1 31 0.029412 In 0.024129 0.034694 -33/1 1/0 1 31 0.030304 In 0.030139 0.030469 -32/1 0/1 1 31 0.031250 In 0.025637 0.036863 -31/1 1/0 1 31 0.032259 In 0.032072 0.032446 -30/1 0/1 1 31 0.033333 In 0.027346 0.039320 -29/1 1/0 1 31 0.034484 In 0.034271 0.034698 -28/1 0/1 1 31 0.035714 In 0.029300 0.042129 -27/1 1/0 1 31 0.037039 In 0.036792 0.037285 -26/1 0/1 1 31 0.038462 In 0.031554 0.045369 -25/1 1/0 1 31 0.040002 In 0.039715 0.040289 -24/1 0/1 1 31 0.041667 In 0.034183 0.049150 -23/1 1/0 1 31 0.043481 In 0.043141 0.043820 -22/1 0/1 1 31 0.045455 In 0.037291 0.053618 -21/1 1/0 1 31 0.047623 In 0.047215 0.048030 -20/1 0/1 1 31 0.050000 In 0.041020 0.058980 -19/1 1/0 1 31 0.052636 In 0.052139 0.053134 -18/1 0/1 1 31 0.055556 In 0.045577 0.065534 -17/1 1/0 1 31 0.058830 In 0.058209 0.059452 -16/1 0/1 1 31 0.062500 In 0.051275 0.073725 -15/1 1/0 1 31 0.066676 In 0.065878 0.067475 -14/1 0/1 1 31 0.071429 In 0.058600 0.084258 -13/1 1/0 1 31 0.076938 In 0.075875 0.078001 -12/1 0/1 1 31 0.083333 In 0.068366 0.098300 -11/1 1/0 1 31 0.090933 In 0.089449 0.092418 -10/1 0/1 1 31 0.100000 In 0.082039 0.117961 -9/1 1/0 1 31 0.111155 In 0.108937 0.113374 -8/1 0/1 1 31 0.125000 In 0.102549 0.147451 -7/1 1/0 1 31 0.142951 In 0.139283 0.146619 -6/1 0/1 1 31 0.166667 In 0.136732 0.196601 -5/1 1/0 1 31 0.200258 In 0.193065 0.207452 -4/1 0/1 1 31 0.250000 In 0.205099 0.294901 -3/1 1/0 1 31 0.334532 In 0.314504 0.354560 -2/1 0/1 1 31 0.500000 In 0.410197 0.589803 -1/1 1/0 1 31 1.033333 In 0.847741 1.218925 0/1 0/1 1 31 1/1 1/0 1 31 -1.033333 In -1.218925 -0.847741 2/1 0/1 1 31 -0.500000 In -0.589803 -0.410197 3/1 1/0 1 31 -0.334532 In -0.354560 -0.314504 4/1 0/1 1 31 -0.250000 In -0.294901 -0.205099 5/1 1/0 1 31 -0.200258 In -0.207452 -0.193065 6/1 0/1 1 31 -0.166667 In -0.196601 -0.136732 7/1 1/0 1 31 -0.142951 In -0.146619 -0.139283 8/1 0/1 1 31 -0.125000 In -0.147451 -0.102549 9/1 1/0 1 31 -0.111155 In -0.113374 -0.108937 10/1 0/1 1 31 -0.100000 In -0.117961 -0.082039 11/1 1/0 1 31 -0.090933 In -0.092418 -0.089449 12/1 0/1 1 31 -0.083333 In -0.098300 -0.068366 13/1 1/0 1 31 -0.076938 In -0.078001 -0.075875 14/1 0/1 1 31 -0.071429 In -0.084258 -0.058600 15/1 1/0 1 31 -0.066676 In -0.067475 -0.065878 16/1 0/1 1 31 -0.062500 In -0.073725 -0.051275 17/1 1/0 1 31 -0.058830 In -0.059452 -0.058209 18/1 0/1 1 31 -0.055556 In -0.065534 -0.045577 19/1 1/0 1 31 -0.052636 In -0.053134 -0.052139 20/1 0/1 1 31 -0.050000 In -0.058980 -0.041020 21/1 1/0 1 31 -0.047623 In -0.048030 -0.047215 22/1 0/1 1 31 -0.045455 In -0.053618 -0.037291 23/1 1/0 1 31 -0.043481 In -0.043820 -0.043141 24/1 0/1 1 31 -0.041667 In -0.049150 -0.034183 25/1 1/0 1 31 -0.040002 In -0.040289 -0.039715 26/1 0/1 1 31 -0.038462 In -0.045369 -0.031554 27/1 1/0 1 31 -0.037039 In -0.037285 -0.036792 28/1 0/1 1 31 -0.035714 In -0.042129 -0.029300 29/1 1/0 1 31 -0.034484 In -0.034698 -0.034271 30/1 0/1 1 31 -0.033333 In -0.039320 -0.027346 31/1 1/0 1 31 -0.032259 In -0.032446 -0.032072 32/1 0/1 1 31 -0.031250 In -0.036863 -0.025637 33/1 1/0 1 31 -0.030304 In -0.030469 -0.030139 34/1 0/1 1 31 -0.029412 In -0.034694 -0.024129 35/1 1/0 1 31 -0.028572 In -0.028719 -0.028426 36/1 0/1 1 31 -0.027778 In -0.032767 -0.022789 37/1 1/0 1 31 -0.027028 In -0.027159 -0.026896 38/1 0/1 1 31 -0.026316 In -0.031042 -0.021589 39/1 1/0 1 31 -0.025642 In -0.025760 -0.025523 40/1 0/1 1 31 -0.025000 In -0.029490 -0.020510 41/1 1/0 1 31 -0.024391 In -0.024498 -0.024284 42/1 0/1 1 31 -0.023810 In -0.028086 -0.019533 43/1 1/0 1 31 -0.023256 In -0.023353 -0.023159 44/1 0/1 1 31 -0.022727 In -0.026809 -0.018645 45/1 1/0 1 31 -0.022223 In -0.022311 -0.022134 46/1 0/1 1 31 -0.021739 In -0.025644 -0.017835 47/1 1/0 1 31 -0.021277 In -0.021358 -0.021196 48/1 0/1 1 31 -0.020833 In -0.024575 -0.017092 49/1 1/0 1 31 -0.020408 In -0.020483 -0.020334 50/1 0/1 1 31 -0.020000 In -0.023592 -0.016408 -49/2 -1/1 1 31 0.040803 In 0.037288 0.044319 -47/2 1/1 1 31 0.042568 In 0.038584 0.046552 -45/2 -1/1 1 31 0.044429 In 0.040615 0.048243 -43/2 1/1 1 31 0.046530 In 0.042159 0.050901 -41/2 -1/1 1 31 0.048762 In 0.044595 0.052929 -39/2 1/1 1 31 0.051304 In 0.046463 0.056146 -37/2 -1/1 1 31 0.054032 In 0.049440 0.058624 -35/2 1/1 1 31 0.057171 In 0.051746 0.062596 -33/2 -1/1 1 31 0.060578 In 0.055465 0.065691 -31/2 1/1 1 31 0.064552 In 0.058384 0.070720 -29/2 -1/1 1 31 0.068930 In 0.063163 0.074696 -27/2 1/1 1 31 0.074122 In 0.066976 0.081267 -25/2 -1/1 1 31 0.079953 In 0.073343 0.086562 -23/2 1/1 1 31 0.087023 In 0.078534 0.095511 -21/2 -1/1 1 31 0.095172 In 0.087433 0.102911 -19/2 1/1 1 31 0.105362 In 0.094913 0.115811 -17/2 -1/1 1 31 0.117549 In 0.108225 0.126872 -15/2 1/1 1 31 0.133496 In 0.119924 0.147068 -13/2 -1/1 1 31 0.153685 In 0.141992 0.165377 -11/2 1/1 1 31 0.182133 In 0.162832 0.201435 -9/2 -1/1 1 31 0.221912 In 0.206385 0.237440 -7/2 1/1 1 31 0.286561 In 0.253551 0.319572 -5/2 -1/1 1 31 0.399225 In 0.377644 0.420805 -3/2 1/1 1 31 0.672662 In 0.572522 0.772802 -1/2 -1/1 1 31 2.033333 In 1.847741 2.218925 1/2 1/1 1 31 -2.033333 In -2.218925 -1.847741 3/2 -1/1 1 31 -0.672662 In -0.772802 -0.572522 5/2 1/1 1 31 -0.399225 In -0.420805 -0.377644 7/2 -1/1 1 31 -0.286561 In -0.319572 -0.253551 9/2 1/1 1 31 -0.221912 In -0.237440 -0.206385 11/2 -1/1 1 31 -0.182133 In -0.201435 -0.162832 13/2 1/1 1 31 -0.153685 In -0.165377 -0.141992 15/2 -1/1 1 31 -0.133496 In -0.147068 -0.119924 17/2 1/1 1 31 -0.117549 In -0.126872 -0.108225 19/2 -1/1 1 31 -0.105362 In -0.115811 -0.094913 21/2 1/1 1 31 -0.095172 In -0.102911 -0.087433 23/2 -1/1 1 31 -0.087023 In -0.095511 -0.078534 25/2 1/1 1 31 -0.079953 In -0.086562 -0.073343 27/2 -1/1 1 31 -0.074122 In -0.081267 -0.066976 29/2 1/1 1 31 -0.068930 In -0.074696 -0.063163 31/2 -1/1 1 31 -0.064552 In -0.070720 -0.058384 33/2 1/1 1 31 -0.060578 In -0.065691 -0.055465 35/2 -1/1 1 31 -0.057171 In -0.062596 -0.051746 37/2 1/1 1 31 -0.054032 In -0.058624 -0.049440 39/2 -1/1 1 31 -0.051304 In -0.056146 -0.046463 41/2 1/1 1 31 -0.048762 In -0.052929 -0.044595 43/2 -1/1 1 31 -0.046530 In -0.050901 -0.042159 45/2 1/1 1 31 -0.044429 In -0.048243 -0.040615 47/2 -1/1 1 31 -0.042568 In -0.046552 -0.038584 49/2 1/1 1 31 -0.040803 In -0.044319 -0.037288 -50/3 0/1 1 31 0.060000 In 0.056408 0.063592 -49/3 1/0 1 31 0.061225 In 0.061001 0.061450 -47/3 1/0 1 31 0.063831 In 0.063587 0.064075 -46/3 0/1 1 31 0.065217 In 0.061313 0.069122 -44/3 0/1 1 31 0.068182 In 0.064100 0.072264 -43/3 1/0 1 31 0.069769 In 0.069477 0.070060 -41/3 1/0 1 31 0.073172 In 0.072852 0.073493 -40/3 0/1 1 31 0.075000 In 0.070510 0.079490 -38/3 0/1 1 31 0.078947 In 0.074221 0.083674 -37/3 1/0 1 31 0.081083 In 0.080689 0.081477 -35/3 1/0 1 31 0.085717 In 0.085277 0.086156 -34/3 0/1 1 31 0.088235 In 0.082953 0.093518 -32/3 0/1 1 31 0.093750 In 0.088137 0.099363 -31/3 1/0 1 31 0.096777 In 0.096217 0.097338 -29/3 1/0 1 31 0.103452 In 0.102812 0.104093 -28/3 0/1 1 31 0.107143 In 0.100728 0.113557 -26/3 0/1 1 31 0.115385 In 0.108477 0.122293 -25/3 1/0 1 31 0.120006 In 0.119144 0.120868 -23/3 1/0 1 31 0.130443 In 0.129424 0.131461 -22/3 0/1 1 31 0.136364 In 0.128200 0.144528 -20/3 0/1 1 31 0.150000 In 0.141020 0.158980 -19/3 1/0 1 31 0.157909 In 0.156416 0.159402 -17/3 1/0 1 31 0.176490 In 0.174626 0.178355 -16/3 0/1 1 31 0.187500 In 0.176275 0.198725 -14/3 0/1 1 31 0.214286 In 0.201457 0.227115 -13/3 1/0 1 31 0.230813 In 0.227624 0.234002 -11/3 1/0 1 31 0.272800 In 0.268346 0.277254 -10/3 0/1 1 31 0.300000 In 0.282039 0.317961 -8/3 0/1 1 31 0.375000 In 0.352549 0.397451 -7/3 1/0 1 31 0.428854 In 0.417850 0.439857 -5/3 1/0 1 31 0.600775 In 0.579195 0.622356 -4/3 0/1 1 31 0.750000 In 0.705099 0.794901 -2/3 0/1 1 31 1.500000 In 1.410197 1.589803 -1/3 1/0 1 31 3.100000 In 2.543224 3.656776 1/3 1/0 1 31 -3.100000 In -3.656776 -2.543224 2/3 0/1 1 31 -1.500000 In -1.589803 -1.410197 4/3 0/1 1 31 -0.750000 In -0.794901 -0.705099 5/3 1/0 1 31 -0.600775 In -0.622356 -0.579195 7/3 1/0 1 31 -0.428854 In -0.439857 -0.417850 8/3 0/1 1 31 -0.375000 In -0.397451 -0.352549 10/3 0/1 1 31 -0.300000 In -0.317961 -0.282039 11/3 1/0 1 31 -0.272800 In -0.277254 -0.268346 13/3 1/0 1 31 -0.230813 In -0.234002 -0.227624 14/3 0/1 1 31 -0.214286 In -0.227115 -0.201457 16/3 0/1 1 31 -0.187500 In -0.198725 -0.176275 17/3 1/0 1 31 -0.176490 In -0.178355 -0.174626 19/3 1/0 1 31 -0.157909 In -0.159402 -0.156416 20/3 0/1 1 31 -0.150000 In -0.158980 -0.141020 22/3 0/1 1 31 -0.136364 In -0.144528 -0.128200 23/3 1/0 1 31 -0.130443 In -0.131461 -0.129424 25/3 1/0 1 31 -0.120006 In -0.120868 -0.119144 26/3 0/1 1 31 -0.115385 In -0.122293 -0.108477 28/3 0/1 1 31 -0.107143 In -0.113557 -0.100728 29/3 1/0 1 31 -0.103452 In -0.104093 -0.102812 31/3 1/0 1 31 -0.096777 In -0.097338 -0.096217 32/3 0/1 1 31 -0.093750 In -0.099363 -0.088137 34/3 0/1 1 31 -0.088235 In -0.093518 -0.082953 35/3 1/0 1 31 -0.085717 In -0.086156 -0.085277 37/3 1/0 1 31 -0.081083 In -0.081477 -0.080689 38/3 0/1 1 31 -0.078947 In -0.083674 -0.074221 40/3 0/1 1 31 -0.075000 In -0.079490 -0.070510 41/3 1/0 1 31 -0.073172 In -0.073493 -0.072852 43/3 1/0 1 31 -0.069769 In -0.070060 -0.069477 44/3 0/1 1 31 -0.068182 In -0.072264 -0.064100 46/3 0/1 1 31 -0.065217 In -0.069122 -0.061313 47/3 1/0 1 31 -0.063831 In -0.064075 -0.063587 49/3 1/0 1 31 -0.061225 In -0.061450 -0.061001 50/3 0/1 1 31 -0.060000 In -0.063592 -0.056408 -49/4 -1/1 1 31 0.081620 In 0.078254 0.084987 -47/4 1/1 1 31 0.085122 In 0.080976 0.089269 -45/4 1/1 1 31 0.088906 In 0.084560 0.093252 -43/4 -1/1 1 31 0.093007 In 0.089219 0.096796 -41/4 -1/1 1 31 0.097544 In 0.093590 0.101497 -39/4 1/1 1 31 0.102587 In 0.097510 0.107665 -37/4 1/1 1 31 0.108134 In 0.102755 0.113513 -35/4 -1/1 1 31 0.114262 In 0.109717 0.118808 -33/4 -1/1 1 31 0.121186 In 0.116403 0.125969 -31/4 1/1 1 31 0.129070 In 0.122529 0.135612 -29/4 1/1 1 31 0.137975 In 0.130927 0.145022 -27/4 -1/1 1 31 0.148110 In 0.142444 0.153777 -25/4 -1/1 1 31 0.159957 In 0.153922 0.165992 -23/4 1/1 1 31 0.173985 In 0.164817 0.183152 -21/4 1/1 1 31 0.190563 In 0.180381 0.200746 -19/4 -1/1 1 31 0.210456 In 0.202992 0.217919 -17/4 -1/1 1 31 0.235209 In 0.227129 0.243289 -15/4 1/1 1 31 0.266848 In 0.251679 0.282017 -13/4 1/1 1 31 0.307942 In 0.289872 0.326012 -11/4 -1/1 1 31 0.363467 In 0.353074 0.373860 -9/4 -1/1 1 31 0.444223 In 0.433132 0.455314 -7/4 1/1 1 31 0.572464 In 0.532118 0.612810 -5/4 1/1 1 31 0.802326 In 0.737584 0.867067 -3/4 -1/1 1 31 1.334532 In 1.314504 1.354560 -1/4 -1/1 1 31 4.100000 In 3.543224 4.656776 1/4 1/1 1 31 -4.100000 In -4.656776 -3.543224 3/4 1/1 1 31 -1.334532 In -1.354560 -1.314504 5/4 -1/1 1 31 -0.802326 In -0.867067 -0.737584 7/4 -1/1 1 31 -0.572464 In -0.612810 -0.532118 9/4 1/1 1 31 -0.444223 In -0.455314 -0.433132 11/4 1/1 1 31 -0.363467 In -0.373860 -0.353074 13/4 -1/1 1 31 -0.307942 In -0.326012 -0.289872 15/4 -1/1 1 31 -0.266848 In -0.282017 -0.251679 17/4 1/1 1 31 -0.235209 In -0.243289 -0.227129 19/4 1/1 1 31 -0.210456 In -0.217919 -0.202992 21/4 -1/1 1 31 -0.190563 In -0.200746 -0.180381 23/4 -1/1 1 31 -0.173985 In -0.183152 -0.164817 25/4 1/1 1 31 -0.159957 In -0.165992 -0.153922 27/4 1/1 1 31 -0.148110 In -0.153777 -0.142444 29/4 -1/1 1 31 -0.137975 In -0.145022 -0.130927 31/4 -1/1 1 31 -0.129070 In -0.135612 -0.122529 33/4 1/1 1 31 -0.121186 In -0.125969 -0.116403 35/4 1/1 1 31 -0.114262 In -0.118808 -0.109717 37/4 -1/1 1 31 -0.108134 In -0.113513 -0.102755 39/4 -1/1 1 31 -0.102587 In -0.107665 -0.097510 41/4 1/1 1 31 -0.097544 In -0.101497 -0.093590 43/4 1/1 1 31 -0.093007 In -0.096796 -0.089219 45/4 -1/1 1 31 -0.088906 In -0.093252 -0.084560 47/4 -1/1 1 31 -0.085122 In -0.089269 -0.080976 49/4 1/1 1 31 -0.081620 In -0.084987 -0.078254 -49/5 1/2 1 31 0.102069 In 0.094364 0.109774 -48/5 -2/1 1 31 0.104144 In 0.101182 0.107107 -47/5 -1/2 1 31 0.106355 In 0.099119 0.113592 -46/5 2/1 1 31 0.108733 In 0.103979 0.113486 -44/5 -2/1 1 31 0.113611 In 0.110456 0.116765 -43/5 1/2 1 31 0.116316 In 0.107476 0.125156 -42/5 2/1 1 31 0.119093 In 0.113798 0.124388 -41/5 -1/2 1 31 0.121915 In 0.113688 0.130142 -39/5 1/2 1 31 0.128250 In 0.118449 0.138051 -38/5 -2/1 1 31 0.131546 In 0.128063 0.135029 -37/5 -1/2 1 31 0.135091 In 0.126039 0.144144 -36/5 2/1 1 31 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