SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 1/0 1 1 -50/1 -50/1 1 37 -49/1 0 37 -48/1 -48/1 1 37 -47/1 0 37 -46/1 -46/1 1 37 -45/1 0 37 -44/1 -44/1 1 37 -43/1 0 37 -42/1 -42/1 1 37 -41/1 0 37 -40/1 -40/1 1 37 -39/1 0 37 -38/1 -38/1 1 37 -37/1 0 37 -36/1 -36/1 1 37 -35/1 0 37 -34/1 -34/1 1 37 -33/1 0 37 -32/1 -32/1 1 37 -31/1 0 37 -30/1 -30/1 1 37 -29/1 0 37 -28/1 -28/1 1 37 -27/1 0 37 -26/1 -26/1 1 37 -25/1 0 37 -24/1 -24/1 1 37 -23/1 0 37 -22/1 -22/1 1 37 -21/1 0 37 -20/1 -20/1 1 37 -19/1 0 37 -18/1 -18/1 1 37 -17/1 0 37 -16/1 -16/1 1 37 -15/1 0 37 -14/1 -14/1 1 37 -13/1 0 37 -12/1 -12/1 1 37 -11/1 0 37 -10/1 -10/1 1 37 -9/1 0 37 -8/1 -8/1 1 37 -7/1 0 37 -6/1 -6/1 1 37 -5/1 0 37 -4/1 -4/1 1 37 -3/1 0 37 -2/1 -2/1 1 37 -1/1 0 37 0/1 0/1 1 37 1/1 0 37 2/1 2/1 1 37 3/1 0 37 4/1 4/1 1 37 5/1 0 37 6/1 6/1 1 37 7/1 0 37 8/1 8/1 1 37 9/1 0 37 10/1 10/1 1 37 11/1 0 37 12/1 12/1 1 37 13/1 0 37 14/1 14/1 1 37 15/1 0 37 16/1 16/1 1 37 17/1 0 37 18/1 18/1 1 37 19/1 0 37 20/1 20/1 1 37 21/1 0 37 22/1 22/1 1 37 23/1 0 37 24/1 24/1 1 37 25/1 0 37 26/1 26/1 1 37 27/1 0 37 28/1 28/1 1 37 29/1 0 37 30/1 30/1 1 37 31/1 0 37 32/1 32/1 1 37 33/1 0 37 34/1 34/1 1 37 35/1 0 37 36/1 36/1 1 37 37/1 0 37 38/1 38/1 1 37 39/1 0 37 40/1 40/1 1 37 41/1 0 37 42/1 42/1 1 37 43/1 0 37 44/1 44/1 1 37 45/1 0 37 46/1 46/1 1 37 47/1 0 37 48/1 48/1 1 37 49/1 0 37 50/1 50/1 1 37 -49/2 0 37 -47/2 0 37 -45/2 0 37 -43/2 0 37 -41/2 0 37 -39/2 0 37 -37/2 0 37 -35/2 0 37 -33/2 0 37 -31/2 0 37 -29/2 0 37 -27/2 0 37 -25/2 0 37 -23/2 0 37 -21/2 0 37 -19/2 0 37 -17/2 0 37 -15/2 0 37 -13/2 0 37 -11/2 0 37 -9/2 0 37 -7/2 0 37 -5/2 0 37 -3/2 0 37 -1/2 0 37 1/2 0 37 3/2 0 37 5/2 0 37 7/2 0 37 9/2 0 37 11/2 0 37 13/2 0 37 15/2 0 37 17/2 0 37 19/2 0 37 21/2 0 37 23/2 0 37 25/2 0 37 27/2 0 37 29/2 0 37 31/2 0 37 33/2 0 37 35/2 0 37 37/2 0 37 39/2 0 37 41/2 0 37 43/2 0 37 45/2 0 37 47/2 0 37 49/2 0 37 -50/3 -16/1 1 37 0.059993 In 0.059861 0.060125 -49/3 0 37 -47/3 0 37 -46/3 -16/1 1 37 0.065226 In 0.065070 0.065382 -44/3 -14/1 1 37 0.068173 In 0.068003 0.068343 -43/3 0 37 -41/3 0 37 -40/3 -14/1 1 37 0.075012 In 0.074806 0.075218 -38/3 -12/1 1 37 0.078936 In 0.078707 0.079164 -37/3 0 37 -35/3 0 37 -34/3 -12/1 1 37 0.088252 In 0.087966 0.088537 -32/3 -10/1 1 37 0.093733 In 0.093412 0.094055 -31/3 0 37 -29/3 0 37 -28/3 -10/1 1 37 0.107168 In 0.106747 0.107588 -26/3 -8/1 1 37 0.115360 In 0.114872 0.115848 -25/3 0 37 -23/3 0 37 -22/3 -8/1 1 37 0.136404 In 0.135723 0.137086 -20/3 -6/1 1 37 0.149959 In 0.149135 0.150783 -19/3 0 37 -17/3 0 37 -16/3 -6/1 1 37 0.187579 In 0.186290 0.188869 -14/3 -4/1 1 37 0.214207 In 0.212525 0.215888 -13/3 0 37 -11/3 0 37 -10/3 -4/1 1 37 0.300217 In 0.296915 0.303519 -8/3 -2/1 1 37 0.374788 In 0.369642 0.379935 -7/3 0 37 -5/3 0 37 -4/3 -2/1 1 37 0.751701 In 0.731011 0.772390 -2/3 0/1 1 37 1.500000 In 1.417801 1.582199 -1/3 0 37 1/3 0 37 2/3 0/1 1 37 -1.500000 In -1.582199 -1.417801 4/3 2/1 1 37 -0.751701 In -0.772390 -0.731011 5/3 0 37 7/3 0 37 8/3 2/1 1 37 -0.374788 In -0.379935 -0.369642 10/3 4/1 1 37 -0.300217 In -0.303519 -0.296915 11/3 0 37 13/3 0 37 14/3 4/1 1 37 -0.214207 In -0.215888 -0.212525 16/3 6/1 1 37 -0.187579 In -0.188869 -0.186290 17/3 0 37 19/3 0 37 20/3 6/1 1 37 -0.149959 In -0.150783 -0.149135 22/3 8/1 1 37 -0.136404 In -0.137086 -0.135723 23/3 0 37 25/3 0 37 26/3 8/1 1 37 -0.115360 In -0.115848 -0.114872 28/3 10/1 1 37 -0.107168 In -0.107588 -0.106747 29/3 0 37 31/3 0 37 32/3 10/1 1 37 -0.093733 In -0.094055 -0.093412 34/3 12/1 1 37 -0.088252 In -0.088537 -0.087966 35/3 0 37 37/3 0 37 38/3 12/1 1 37 -0.078936 In -0.079164 -0.078707 40/3 14/1 1 37 -0.075012 In -0.075218 -0.074806 41/3 0 37 43/3 0 37 44/3 14/1 1 37 -0.068173 In -0.068343 -0.068003 46/3 16/1 1 37 -0.065226 In -0.065382 -0.065070 47/3 0 37 49/3 0 37 50/3 16/1 1 37 -0.059993 In -0.060125 -0.059861 -49/4 0 37 -47/4 0 37 -45/4 0 37 -43/4 0 37 -41/4 0 37 -39/4 0 37 -37/4 0 37 -35/4 0 37 -33/4 0 37 -31/4 0 37 -29/4 0 37 -27/4 0 37 -25/4 0 37 -23/4 0 37 -21/4 0 37 -19/4 0 37 -17/4 0 37 -15/4 0 37 -13/4 0 37 -11/4 0 37 -9/4 0 37 -7/4 0 37 -5/4 0 37 -3/4 0 37 -1/4 0 37 1/4 0 37 3/4 0 37 5/4 0 37 7/4 0 37 9/4 0 37 11/4 0 37 13/4 0 37 15/4 0 37 17/4 0 37 19/4 0 37 21/4 0 37 23/4 0 37 25/4 0 37 27/4 0 37 29/4 0 37 31/4 0 37 33/4 0 37 35/4 0 37 37/4 0 37 39/4 0 37 41/4 0 37 43/4 0 37 45/4 0 37 47/4 0 37 49/4 0 37 -49/5 0 37 -48/5 -10/1 1 37 0.104172 In 0.104029 0.104314 -47/5 0 37 -46/5 -28/3 1 37 0.108711 In 0.108554 0.108868 -44/5 -26/3 1 37 0.113620 In 0.113448 0.113791 -43/5 0 37 -42/5 -8/1 1 37 0.119042 In 0.118855 0.119228 -41/5 0 37 -39/5 0 37 -38/5 -8/1 1 37 0.131587 In 0.131359 0.131815 -37/5 0 37 -36/5 -22/3 1 37 0.138915 In 0.138658 0.139171 -34/5 -20/3 1 37 0.147031 In 0.146744 0.147318 -33/5 0 37 -32/5 -6/1 1 37 0.156240 In 0.155919 0.156561 -31/5 0 37 -29/5 0 37 -28/5 -6/1 1 37 0.178586 In 0.178166 0.179006 -27/5 0 37 -26/5 -16/3 1 37 0.192357 In 0.191866 0.192849 -24/5 -14/3 1 37 0.208278 In 0.207702 0.208854 -23/5 0 37 -22/5 -4/1 1 37 0.227252 In 0.226572 0.227932 -21/5 0 37 -19/5 0 37 -18/5 -4/1 1 37 0.277815 In 0.276799 0.278831 -17/5 0 37 -16/5 -10/3 1 37 0.312633 In 0.311335 0.313931 -14/5 -8/3 1 37 0.356984 In 0.355291 0.358676 -13/5 0 37 -12/5 -2/1 1 37 0.416604 In 0.414319 0.418889 -11/5 0 37 -9/5 0 37 -8/5 -2/1 1 37 0.625212 In 0.620065 0.630358 -7/5 0 37 -6/5 -4/3 1 37 0.834347 In 0.825102 0.843591 -4/5 -2/3 1 37 1.248299 In 1.227610 1.268989 -3/5 0 37 -2/5 0/1 1 37 2.500000 In 2.417801 2.582199 -1/5 0 37 1/5 0 37 2/5 0/1 1 37 -2.500000 In -2.582199 -2.417801 3/5 0 37 4/5 2/3 1 37 -1.248299 In -1.268989 -1.227610 6/5 4/3 1 37 -0.834347 In -0.843591 -0.825102 7/5 0 37 8/5 2/1 1 37 -0.625212 In -0.630358 -0.620065 9/5 0 37 11/5 0 37 12/5 2/1 1 37 -0.416604 In -0.418889 -0.414319 13/5 0 37 14/5 8/3 1 37 -0.356984 In -0.358676 -0.355291 16/5 10/3 1 37 -0.312633 In -0.313931 -0.311335 17/5 0 37 18/5 4/1 1 37 -0.277815 In -0.278831 -0.276799 19/5 0 37 21/5 0 37 22/5 4/1 1 37 -0.227252 In -0.227932 -0.226572 23/5 0 37 24/5 14/3 1 37 -0.208278 In -0.208854 -0.207702 26/5 16/3 1 37 -0.192357 In -0.192849 -0.191866 27/5 0 37 28/5 6/1 1 37 -0.178586 In -0.179006 -0.178166 29/5 0 37 31/5 0 37 32/5 6/1 1 37 -0.156240 In -0.156561 -0.155919 33/5 0 37 34/5 20/3 1 37 -0.147031 In -0.147318 -0.146744 36/5 22/3 1 37 -0.138915 In -0.139171 -0.138658 37/5 0 37 38/5 8/1 1 37 -0.131587 In -0.131815 -0.131359 39/5 0 37 41/5 0 37 42/5 8/1 1 37 -0.119042 In -0.119228 -0.118855 43/5 0 37 44/5 26/3 1 37 -0.113620 In -0.113791 -0.113448 46/5 28/3 1 37 -0.108711 In -0.108868 -0.108554 47/5 0 37 48/5 10/1 1 37 -0.104172 In -0.104314 -0.104029 49/5 0 37 -49/6 0 37 -47/6 0 37 -43/6 0 37 -41/6 0 37 -37/6 0 37 -35/6 0 37 -31/6 0 37 -29/6 0 37 -25/6 0 37 -23/6 0 37 -19/6 0 37 -17/6 0 37 -13/6 0 37 -11/6 0 37 -7/6 0 37 -5/6 0 37 -1/6 0 37 1/6 0 37 5/6 0 37 7/6 0 37 11/6 0 37 13/6 0 37 17/6 0 37 19/6 0 37 23/6 0 37 25/6 0 37 29/6 0 37 31/6 0 37 35/6 0 37 37/6 0 37 41/6 0 37 43/6 0 37 47/6 0 37 49/6 0 37 -50/7 -22/3 1 37 0.140019 In 0.139755 0.140284 -48/7 -20/3 1 37 0.145814 In 0.145527 0.146100 -47/7 0 37 -46/7 -6/1 1 37 0.152167 In 0.151856 0.152478 -45/7 0 37 -44/7 -20/3 1 37 0.159142 In 0.158459 0.159825 -43/7 0 37 -41/7 0 37 -40/7 -16/3 1 37 0.174946 In 0.174120 0.175771 -39/7 0 37 -38/7 -6/1 1 37 0.184222 In 0.183767 0.184678 -37/7 0 37 -36/7 -16/3 1 37 0.194482 In 0.193972 0.194992 -34/7 -14/3 1 37 0.205844 In 0.205272 0.206415 -33/7 0 37 -32/7 -4/1 1 37 0.218737 In 0.218094 0.219379 -31/7 0 37 -30/7 -14/3 1 37 0.233446 In 0.231976 0.234916 -29/7 0 37 -27/7 0 37 -26/7 -10/3 1 37 0.269107 In 0.267154 0.271061 -25/7 0 37 -24/7 -4/1 1 37 0.291698 In 0.290555 0.292840 -23/7 0 37 -22/7 -10/3 1 37 0.318284 In 0.316918 0.319650 -20/7 -8/3 1 37 0.349891 In 0.348240 0.351543 -19/7 0 37 -18/7 -2/1 1 37 0.388852 In 0.386822 0.390882 -17/7 0 37 -16/7 -8/3 1 37 0.437925 In 0.432753 0.443098 -15/7 0 37 -13/7 0 37 -12/7 -4/3 1 37 0.582831 In 0.573671 0.591992 -11/7 0 37 -10/7 -2/1 1 37 0.700216 In 0.693633 0.706800 -9/7 0 37 -8/7 -4/3 1 37 0.875850 In 0.865506 0.886195 -6/7 -2/3 1 37 1.165663 In 1.147341 1.183984 -5/7 0 37 -4/7 0/1 1 37 1.750000 In 1.708900 1.791100 -3/7 0 37 -2/7 -2/3 1 37 3.555556 In 3.217624 3.893487 -1/7 0 37 1/7 0 37 2/7 2/3 1 37 -3.555556 In -3.893487 -3.217624 3/7 0 37 4/7 0/1 1 37 -1.750000 In -1.791100 -1.708900 5/7 0 37 6/7 2/3 1 37 -1.165663 In -1.183984 -1.147341 8/7 4/3 1 37 -0.875850 In -0.886195 -0.865506 9/7 0 37 10/7 2/1 1 37 -0.700216 In -0.706800 -0.693633 11/7 0 37 12/7 4/3 1 37 -0.582831 In -0.591992 -0.573671 13/7 0 37 15/7 0 37 16/7 8/3 1 37 -0.437925 In -0.443098 -0.432753 17/7 0 37 18/7 2/1 1 37 -0.388852 In -0.390882 -0.386822 19/7 0 37 20/7 8/3 1 37 -0.349891 In -0.351543 -0.348240 22/7 10/3 1 37 -0.318284 In -0.319650 -0.316918 23/7 0 37 24/7 4/1 1 37 -0.291698 In -0.292840 -0.290555 25/7 0 37 26/7 10/3 1 37 -0.269107 In -0.271061 -0.267154 27/7 0 37 29/7 0 37 30/7 14/3 1 37 -0.233446 In -0.234916 -0.231976 31/7 0 37 32/7 4/1 1 37 -0.218737 In -0.219379 -0.218094 33/7 0 37 34/7 14/3 1 37 -0.205844 In -0.206415 -0.205272 36/7 16/3 1 37 -0.194482 In -0.194992 -0.193972 37/7 0 37 38/7 6/1 1 37 -0.184222 In -0.184678 -0.183767 39/7 0 37 40/7 16/3 1 37 -0.174946 In -0.175771 -0.174120 41/7 0 37 43/7 0 37 44/7 20/3 1 37 -0.159142 In -0.159825 -0.158459 45/7 0 37 46/7 6/1 1 37 -0.152167 In -0.152478 -0.151856 47/7 0 37 48/7 20/3 1 37 -0.145814 In -0.146100 -0.145527 50/7 22/3 1 37 -0.140019 In -0.140284 -0.139755 -49/8 0 37 -47/8 0 37 -45/8 0 37 -43/8 0 37 -41/8 0 37 -39/8 0 37 -37/8 0 37 -35/8 0 37 -33/8 0 37 -31/8 0 37 -29/8 0 37 -27/8 0 37 -25/8 0 37 -23/8 0 37 -21/8 0 37 -19/8 0 37 -17/8 0 37 -15/8 0 37 -13/8 0 37 -11/8 0 37 -9/8 0 37 -7/8 0 37 -5/8 0 37 -3/8 0 37 -1/8 0 37 1/8 0 37 3/8 0 37 5/8 0 37 7/8 0 37 9/8 0 37 11/8 0 37 13/8 0 37 15/8 0 37 17/8 0 37 19/8 0 37 21/8 0 37 23/8 0 37 25/8 0 37 27/8 0 37 29/8 0 37 31/8 0 37 33/8 0 37 35/8 0 37 37/8 0 37 39/8 0 37 41/8 0 37 43/8 0 37 45/8 0 37 47/8 0 37 49/8 0 37 -50/9 -6/1 1 37 0.180005 In 0.179742 0.180268 -49/9 0 37 -47/9 0 37 -46/9 -6/1 1 37 0.195666 In 0.195044 0.196287 -44/9 -4/1 1 37 0.204535 In 0.203856 0.205215 -43/9 0 37 -41/9 0 37 -40/9 -4/1 1 37 0.224993 In 0.224582 0.225404 -38/9 -4/1 1 37 0.236838 In 0.236610 0.237066 -37/9 0 37 -35/9 0 37 -34/9 -4/1 1 37 0.264711 In 0.264427 0.264996 -32/9 -4/1 1 37 0.281263 In 0.280621 0.281906 -31/9 0 37 -29/9 0 37 -28/9 -4/1 1 37 0.321468 In 0.319790 0.323146 -26/9 -2/1 1 37 0.346129 In 0.344183 0.348075 -25/9 0 37 -23/9 0 37 -22/9 -2/1 1 37 0.409071 In 0.407712 0.410430 -20/9 -2/1 1 37 0.449986 In 0.449164 0.450809 -19/9 0 37 -17/9 0 37 -16/9 -2/1 1 37 0.562526 In 0.561241 0.563811 -14/9 -2/1 1 37 0.642936 In 0.639579 0.646293 -13/9 0 37 -11/9 0 37 -10/9 -2/1 1 37 0.900433 In 0.887267 0.913599 -8/9 0/1 1 37 1.125000 In 1.104450 1.145550 -7/9 0 37 -5/9 0 37 -4/9 0/1 1 37 2.250000 In 2.208900 2.291100 -2/9 0/1 1 37 4.500000 In 4.417801 4.582199 -1/9 0 37 1/9 0 37 2/9 0/1 1 37 -4.500000 In -4.582199 -4.417801 4/9 0/1 1 37 -2.250000 In -2.291100 -2.208900 5/9 0 37 7/9 0 37 8/9 0/1 1 37 -1.125000 In -1.145550 -1.104450 10/9 2/1 1 37 -0.900433 In -0.913599 -0.887267 11/9 0 37 13/9 0 37 14/9 2/1 1 37 -0.642936 In -0.646293 -0.639579 16/9 2/1 1 37 -0.562526 In -0.563811 -0.561241 17/9 0 37 19/9 0 37 20/9 2/1 1 37 -0.449986 In -0.450809 -0.449164 22/9 2/1 1 37 -0.409071 In -0.410430 -0.407712 23/9 0 37 25/9 0 37 26/9 2/1 1 37 -0.346129 In -0.348075 -0.344183 28/9 4/1 1 37 -0.321468 In -0.323146 -0.319790 29/9 0 37 31/9 0 37 32/9 4/1 1 37 -0.281263 In -0.281906 -0.280621 34/9 4/1 1 37 -0.264711 In -0.264996 -0.264427 35/9 0 37 37/9 0 37 38/9 4/1 1 37 -0.236838 In -0.237066 -0.236610 40/9 4/1 1 37 -0.224993 In -0.225404 -0.224582 41/9 0 37 43/9 0 37 44/9 4/1 1 37 -0.204535 In -0.205215 -0.203856 46/9 6/1 1 37 -0.195666 In -0.196287 -0.195044 47/9 0 37 49/9 0 37 50/9 6/1 1 37 -0.180005 In -0.180268 -0.179742 -49/10 0 37 -47/10 0 37 -43/10 0 37 -41/10 0 37 -39/10 0 37 -37/10 0 37 -33/10 0 37 -31/10 0 37 -29/10 0 37 -27/10 0 37 -23/10 0 37 -21/10 0 37 -19/10 0 37 -17/10 0 37 -13/10 0 37 -11/10 0 37 -9/10 0 37 -7/10 0 37 -3/10 0 37 -1/10 0 37 1/10 0 37 3/10 0 37 7/10 0 37 9/10 0 37 11/10 0 37 13/10 0 37 17/10 0 37 19/10 0 37 21/10 0 37 23/10 0 37 27/10 0 37 29/10 0 37 31/10 0 37 33/10 0 37 37/10 0 37 39/10 0 37 41/10 0 37 43/10 0 37 47/10 0 37 49/10 0 37 -50/11 -2/1 1 37 0.219988 In 0.218147 0.221829 -49/11 0 37 -48/11 -6/1 1 37 0.229193 In 0.227908 0.230478 -47/11 0 37 -46/11 -14/3 1 37 0.239193 In 0.237947 0.240439 -45/11 0 37 -43/11 0 37 -42/11 -10/3 1 37 0.261846 In 0.260353 0.263340 -41/11 0 37 -40/11 -2/1 1 37 0.274985 In 0.273135 0.276834 -39/11 0 37 -38/11 -6/1 1 37 0.289556 In 0.286367 0.292746 -37/11 0 37 -36/11 -4/1 1 37 0.305574 In 0.304559 0.306589 -35/11 0 37 -34/11 -10/3 1 37 0.323585 In 0.322444 0.324725 -32/11 -8/3 1 37 0.343697 In 0.342411 0.344984 -31/11 0 37 -30/11 -2/1 1 37 0.366651 In 0.365189 0.368112 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