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 35 -49/1 0 35 -48/1 -48/1 1 35 -47/1 0 35 -46/1 -46/1 1 35 -45/1 0 35 -44/1 -44/1 1 35 -43/1 0 35 -42/1 -42/1 1 35 -41/1 0 35 -40/1 -40/1 1 35 -39/1 0 35 -38/1 -38/1 1 35 -37/1 0 35 -36/1 -36/1 1 35 -35/1 0 35 -34/1 -34/1 1 35 -33/1 0 35 -32/1 -32/1 1 35 -31/1 0 35 -30/1 -30/1 1 35 -29/1 0 35 -28/1 -28/1 1 35 -27/1 0 35 -26/1 -26/1 1 35 -25/1 0 35 -24/1 -24/1 1 35 -23/1 0 35 -22/1 -22/1 1 35 -21/1 0 35 -20/1 -20/1 1 35 -19/1 0 35 -18/1 -18/1 1 35 -17/1 0 35 -16/1 -16/1 1 35 -15/1 0 35 -14/1 -14/1 1 35 -13/1 0 35 -12/1 -12/1 1 35 -11/1 0 35 -10/1 -10/1 1 35 -9/1 0 35 -8/1 -8/1 1 35 -7/1 0 35 -6/1 -6/1 1 35 -5/1 0 35 -4/1 -4/1 1 35 -3/1 0 35 -2/1 -2/1 1 35 -1/1 0 35 0/1 0/1 1 35 1/1 0 35 2/1 2/1 1 35 3/1 0 35 4/1 4/1 1 35 5/1 0 35 6/1 6/1 1 35 7/1 0 35 8/1 8/1 1 35 9/1 0 35 10/1 10/1 1 35 11/1 0 35 12/1 12/1 1 35 13/1 0 35 14/1 14/1 1 35 15/1 0 35 16/1 16/1 1 35 17/1 0 35 18/1 18/1 1 35 19/1 0 35 20/1 20/1 1 35 21/1 0 35 22/1 22/1 1 35 23/1 0 35 24/1 24/1 1 35 25/1 0 35 26/1 26/1 1 35 27/1 0 35 28/1 28/1 1 35 29/1 0 35 30/1 30/1 1 35 31/1 0 35 32/1 32/1 1 35 33/1 0 35 34/1 34/1 1 35 35/1 0 35 36/1 36/1 1 35 37/1 0 35 38/1 38/1 1 35 39/1 0 35 40/1 40/1 1 35 41/1 0 35 42/1 42/1 1 35 43/1 0 35 44/1 44/1 1 35 45/1 0 35 46/1 46/1 1 35 47/1 0 35 48/1 48/1 1 35 49/1 0 35 50/1 50/1 1 35 -49/2 0 35 -47/2 0 35 -45/2 0 35 -43/2 0 35 -41/2 0 35 -39/2 0 35 -37/2 0 35 -35/2 0 35 -33/2 0 35 -31/2 0 35 -29/2 0 35 -27/2 0 35 -25/2 0 35 -23/2 0 35 -21/2 0 35 -19/2 0 35 -17/2 0 35 -15/2 0 35 -13/2 0 35 -11/2 0 35 -9/2 0 35 -7/2 0 35 -5/2 0 35 -3/2 0 35 -1/2 0 35 1/2 0 35 3/2 0 35 5/2 0 35 7/2 0 35 9/2 0 35 11/2 0 35 13/2 0 35 15/2 0 35 17/2 0 35 19/2 0 35 21/2 0 35 23/2 0 35 25/2 0 35 27/2 0 35 29/2 0 35 31/2 0 35 33/2 0 35 35/2 0 35 37/2 0 35 39/2 0 35 41/2 0 35 43/2 0 35 45/2 0 35 47/2 0 35 49/2 0 35 -50/3 -16/1 1 35 0.059993 In 0.059857 0.060128 -49/3 0 35 -47/3 0 35 -46/3 -16/1 1 35 0.065227 In 0.065066 0.065387 -44/3 -14/1 1 35 0.068172 In 0.067997 0.068348 -43/3 0 35 -41/3 0 35 -40/3 -14/1 1 35 0.075013 In 0.074801 0.075225 -38/3 -12/1 1 35 0.078935 In 0.078700 0.079170 -37/3 0 35 -35/3 0 35 -34/3 -12/1 1 35 0.088253 In 0.087959 0.088546 -32/3 -10/1 1 35 0.093733 In 0.093401 0.094064 -31/3 0 35 -29/3 0 35 -28/3 -10/1 1 35 0.107169 In 0.106736 0.107602 -26/3 -8/1 1 35 0.115359 In 0.114857 0.115860 -25/3 0 35 -23/3 0 35 -22/3 -8/1 1 35 0.136407 In 0.135706 0.137108 -20/3 -6/1 1 35 0.149957 In 0.149110 0.150804 -19/3 0 35 -17/3 0 35 -16/3 -6/1 1 35 0.187584 In 0.186258 0.188910 -14/3 -4/1 1 35 0.214202 In 0.212473 0.215931 -13/3 0 35 -11/3 0 35 -10/3 -4/1 1 35 0.300230 In 0.296833 0.303626 -8/3 -2/1 1 35 0.374776 In 0.369485 0.380068 -7/3 0 35 -5/3 0 35 -4/3 -2/1 1 35 0.751799 In 0.730518 0.773079 -2/3 0/1 1 35 1.500000 In 1.415485 1.584515 -1/3 0 35 1/3 0 35 2/3 0/1 1 35 -1.500000 In -1.584515 -1.415485 4/3 2/1 1 35 -0.751799 In -0.773079 -0.730518 5/3 0 35 7/3 0 35 8/3 2/1 1 35 -0.374776 In -0.380068 -0.369485 10/3 4/1 1 35 -0.300230 In -0.303626 -0.296833 11/3 0 35 13/3 0 35 14/3 4/1 1 35 -0.214202 In -0.215931 -0.212473 16/3 6/1 1 35 -0.187584 In -0.188910 -0.186258 17/3 0 35 19/3 0 35 20/3 6/1 1 35 -0.149957 In -0.150804 -0.149110 22/3 8/1 1 35 -0.136407 In -0.137108 -0.135706 23/3 0 35 25/3 0 35 26/3 8/1 1 35 -0.115359 In -0.115860 -0.114857 28/3 10/1 1 35 -0.107169 In -0.107602 -0.106736 29/3 0 35 31/3 0 35 32/3 10/1 1 35 -0.093733 In -0.094064 -0.093401 34/3 12/1 1 35 -0.088253 In -0.088546 -0.087959 35/3 0 35 37/3 0 35 38/3 12/1 1 35 -0.078935 In -0.079170 -0.078700 40/3 14/1 1 35 -0.075013 In -0.075225 -0.074801 41/3 0 35 43/3 0 35 44/3 14/1 1 35 -0.068172 In -0.068348 -0.067997 46/3 16/1 1 35 -0.065227 In -0.065387 -0.065066 47/3 0 35 49/3 0 35 50/3 16/1 1 35 -0.059993 In -0.060128 -0.059857 -49/4 0 35 -47/4 0 35 -45/4 0 35 -43/4 0 35 -41/4 0 35 -39/4 0 35 -37/4 0 35 -35/4 0 35 -33/4 0 35 -31/4 0 35 -29/4 0 35 -27/4 0 35 -25/4 0 35 -23/4 0 35 -21/4 0 35 -19/4 0 35 -17/4 0 35 -15/4 0 35 -13/4 0 35 -11/4 0 35 -9/4 0 35 -7/4 0 35 -5/4 0 35 -3/4 0 35 -1/4 0 35 1/4 0 35 3/4 0 35 5/4 0 35 7/4 0 35 9/4 0 35 11/4 0 35 13/4 0 35 15/4 0 35 17/4 0 35 19/4 0 35 21/4 0 35 23/4 0 35 25/4 0 35 27/4 0 35 29/4 0 35 31/4 0 35 33/4 0 35 35/4 0 35 37/4 0 35 39/4 0 35 41/4 0 35 43/4 0 35 45/4 0 35 47/4 0 35 49/4 0 35 -49/5 -9/1 1 7 0.101997 In 0.101364 0.102630 -48/5 1/0 1 7 0.104173 In 0.103353 0.104993 -47/5 -10/1 1 7 0.106425 In 0.105908 0.106941 -46/5 -9/1 2 7 0.108669 In 0.108414 0.108924 -44/5 -9/1 2 7 0.113667 In 0.113387 0.113946 -43/5 -8/1 1 7 0.116236 In 0.115619 0.116852 -42/5 1/0 1 7 0.119057 In 0.117986 0.120129 -41/5 -9/1 1 7 0.122026 In 0.121121 0.122932 -39/5 -7/1 1 7 0.128137 In 0.127139 0.129136 -38/5 1/0 1 7 0.131592 In 0.130283 0.132901 -37/5 -8/1 1 7 0.135203 In 0.134369 0.136037 -36/5 -7/1 2 7 0.138846 In 0.138429 0.139262 -34/5 -7/1 2 7 0.147110 In 0.146642 0.147578 -33/5 -6/1 1 7 0.151443 In 0.150397 0.152489 -32/5 1/0 1 7 0.156272 In 0.154426 0.158118 -31/5 -7/1 1 7 0.161426 In 0.159841 0.163010 -29/5 -5/1 1 7 0.172296 In 0.170491 0.174102 -28/5 1/0 1 7 0.178604 In 0.176193 0.181015 -27/5 -6/1 1 7 0.185317 In 0.183750 0.186883 -26/5 -5/1 2 7 0.192226 In 0.191426 0.193025 -24/5 -5/1 2 7 0.208438 In 0.207498 0.209378 -23/5 -4/1 1 7 0.217250 In 0.215097 0.219403 -22/5 1/0 1 7 0.227340 In 0.223434 0.231246 -21/5 -5/1 1 7 0.238406 In 0.234950 0.241863 -19/5 -3/1 1 7 0.262907 In 0.258704 0.267110 -18/5 1/0 1 7 0.277900 In 0.272065 0.283736 -17/5 -4/1 1 7 0.294469 In 0.290515 0.298424 -16/5 -3/1 2 7 0.312289 In 0.310179 0.314398 -14/5 -3/1 2 7 0.357459 In 0.354696 0.360223 -13/5 -2/1 1 7 0.384224 In 0.377492 0.390956 -12/5 1/0 1 7 0.417080 In 0.403944 0.430217 -11/5 -3/1 1 7 0.455847 In 0.443218 0.468476 -9/5 -1/1 1 7 0.554770 In 0.536072 0.573468 -8/5 1/0 1 7 0.626398 In 0.596804 0.655993 -7/5 -2/1 1 7 0.716814 In 0.693400 0.740228 -6/5 -1/1 2 7 0.832000 In 0.817033 0.846967 -4/5 -1/1 2 7 1.254545 In 1.220530 1.288561 -3/5 0/1 1 7 1.666667 In 1.540679 1.792655 -2/5 1/0 1 7 2.592593 In 2.102639 3.082547 -1/5 -1/1 1 7 5.666667 In 3.902832 7.430501 1/5 1/1 1 7 -5.666667 In -7.430501 -3.902832 2/5 1/0 1 7 -2.592593 In -3.082547 -2.102639 3/5 0/1 1 7 -1.666667 In -1.792655 -1.540679 4/5 1/1 2 7 -1.254545 In -1.288561 -1.220530 6/5 1/1 2 7 -0.832000 In -0.846967 -0.817033 7/5 2/1 1 7 -0.716814 In -0.740228 -0.693400 8/5 1/0 1 7 -0.626398 In -0.655993 -0.596804 9/5 1/1 1 7 -0.554770 In -0.573468 -0.536072 11/5 3/1 1 7 -0.455847 In -0.468476 -0.443218 12/5 1/0 1 7 -0.417080 In -0.430217 -0.403944 13/5 2/1 1 7 -0.384224 In -0.390956 -0.377492 14/5 3/1 2 7 -0.357459 In -0.360223 -0.354696 16/5 3/1 2 7 -0.312289 In -0.314398 -0.310179 17/5 4/1 1 7 -0.294469 In -0.298424 -0.290515 18/5 1/0 1 7 -0.277900 In -0.283736 -0.272065 19/5 3/1 1 7 -0.262907 In -0.267110 -0.258704 21/5 5/1 1 7 -0.238406 In -0.241863 -0.234950 22/5 1/0 1 7 -0.227340 In -0.231246 -0.223434 23/5 4/1 1 7 -0.217250 In -0.219403 -0.215097 24/5 5/1 2 7 -0.208438 In -0.209378 -0.207498 26/5 5/1 2 7 -0.192226 In -0.193025 -0.191426 27/5 6/1 1 7 -0.185317 In -0.186883 -0.183750 28/5 1/0 1 7 -0.178604 In -0.181015 -0.176193 29/5 5/1 1 7 -0.172296 In -0.174102 -0.170491 31/5 7/1 1 7 -0.161426 In -0.163010 -0.159841 32/5 1/0 1 7 -0.156272 In -0.158118 -0.154426 33/5 6/1 1 7 -0.151443 In -0.152489 -0.150397 34/5 7/1 2 7 -0.147110 In -0.147578 -0.146642 36/5 7/1 2 7 -0.138846 In -0.139262 -0.138429 37/5 8/1 1 7 -0.135203 In -0.136037 -0.134369 38/5 1/0 1 7 -0.131592 In -0.132901 -0.130283 39/5 7/1 1 7 -0.128137 In -0.129136 -0.127139 41/5 9/1 1 7 -0.122026 In -0.122932 -0.121121 42/5 1/0 1 7 -0.119057 In -0.120129 -0.117986 43/5 8/1 1 7 -0.116236 In -0.116852 -0.115619 44/5 9/1 2 7 -0.113667 In -0.113946 -0.113387 46/5 9/1 2 7 -0.108669 In -0.108924 -0.108414 47/5 10/1 1 7 -0.106425 In -0.106941 -0.105908 48/5 1/0 1 7 -0.104173 In -0.104993 -0.103353 49/5 9/1 1 7 -0.101997 In -0.102630 -0.101364 -49/6 0 35 -47/6 0 35 -43/6 0 35 -41/6 0 35 -37/6 0 35 -35/6 0 35 -31/6 0 35 -29/6 0 35 -25/6 0 35 -23/6 0 35 -19/6 0 35 -17/6 0 35 -13/6 0 35 -11/6 0 35 -7/6 0 35 -5/6 0 35 -1/6 0 35 1/6 0 35 5/6 0 35 7/6 0 35 11/6 0 35 13/6 0 35 17/6 0 35 19/6 0 35 23/6 0 35 25/6 0 35 29/6 0 35 31/6 0 35 35/6 0 35 37/6 0 35 41/6 0 35 43/6 0 35 47/6 0 35 49/6 0 35 -50/7 -7/1 4 5 0.139954 In 0.139591 0.140318 -48/7 -7/1 4 5 0.145885 In 0.145490 0.146280 -47/7 -6/1 2 5 0.148820 In 0.147379 0.150261 -46/7 1/0 2 5 0.152203 In 0.150110 0.154295 -45/7 -7/1 1 5 0.155617 In 0.154730 0.156505 -44/7 -6/1 1 5 0.159063 In 0.158599 0.159526 -43/7 -7/1 1 5 0.162897 In 0.161438 0.164356 -41/7 -5/1 1 5 0.170644 In 0.169043 0.172245 -40/7 -6/1 1 5 0.175038 In 0.174476 0.175599 -39/7 -5/1 1 5 0.179420 In 0.178240 0.180600 -38/7 1/0 2 5 0.184262 In 0.181195 0.187328 -37/7 -6/1 2 5 0.189429 In 0.187094 0.191763 -36/7 -5/1 4 5 0.194357 In 0.193656 0.195058 -34/7 -5/1 4 5 0.205986 In 0.205199 0.206773 -33/7 -4/1 2 5 0.211897 In 0.208976 0.214818 -32/7 1/0 2 5 0.218835 In 0.214510 0.223161 -31/7 -5/1 1 5 0.225941 In 0.224070 0.227813 -30/7 -4/1 1 5 0.233274 In 0.232277 0.234271 -29/7 -5/1 1 5 0.241627 In 0.238417 0.244836 -27/7 -3/1 1 5 0.259076 In 0.255386 0.262766 -26/7 -4/1 1 5 0.269322 In 0.267993 0.270652 -25/7 -3/1 1 5 0.279846 In 0.276976 0.282716 -24/7 1/0 2 5 0.291869 In 0.284178 0.299561 -23/7 -4/1 2 5 0.305013 In 0.298962 0.311064 -22/7 -3/1 4 5 0.317953 In 0.316077 0.319829 -20/7 -3/1 4 5 0.350305 In 0.348028 0.352583 -19/7 -2/1 2 5 0.367835 In 0.359037 0.376634 -18/7 1/0 2 5 0.389370 In 0.375689 0.403051 -17/7 -3/1 1 5 0.412256 In 0.406028 0.418485 -16/7 -2/1 1 5 0.437304 In 0.433799 0.440809 -15/7 -3/1 1 5 0.467742 In 0.455720 0.479764 -13/7 -1/1 1 5 0.537915 In 0.522018 0.553811 -12/7 -2/1 1 5 0.583799 In 0.577553 0.590045 -11/7 -1/1 1 5 0.635762 In 0.620953 0.650570 -10/7 1/0 2 5 0.702811 In 0.658362 0.747261 -9/7 -2/1 2 5 0.783375 In 0.743548 0.823202 -8/7 -1/1 4 5 0.873418 In 0.859265 0.887570 -6/7 -1/1 4 5 1.170455 In 1.145045 1.195864 -5/7 0/1 2 5 1.400000 In 1.273509 1.526491 -4/7 1/0 2 5 1.794872 In 1.511078 2.078666 -3/7 -1/1 1 5 2.363636 In 2.160357 2.566915 -2/7 0/1 1 5 3.500000 In 3.276393 3.723607 -1/7 -1/1 1 5 8.500000 In 5.145898 11.854102 1/7 1/1 1 5 -8.500000 In -11.854102 -5.145898 2/7 0/1 1 5 -3.500000 In -3.723607 -3.276393 3/7 1/1 1 5 -2.363636 In -2.566915 -2.160357 4/7 1/0 2 5 -1.794872 In -2.078666 -1.511078 5/7 0/1 2 5 -1.400000 In -1.526491 -1.273509 6/7 1/1 4 5 -1.170455 In -1.195864 -1.145045 8/7 1/1 4 5 -0.873418 In -0.887570 -0.859265 9/7 2/1 2 5 -0.783375 In -0.823202 -0.743548 10/7 1/0 2 5 -0.702811 In -0.747261 -0.658362 11/7 1/1 1 5 -0.635762 In -0.650570 -0.620953 12/7 2/1 1 5 -0.583799 In -0.590045 -0.577553 13/7 1/1 1 5 -0.537915 In -0.553811 -0.522018 15/7 3/1 1 5 -0.467742 In -0.479764 -0.455720 16/7 2/1 1 5 -0.437304 In -0.440809 -0.433799 17/7 3/1 1 5 -0.412256 In -0.418485 -0.406028 18/7 1/0 2 5 -0.389370 In -0.403051 -0.375689 19/7 2/1 2 5 -0.367835 In -0.376634 -0.359037 20/7 3/1 4 5 -0.350305 In -0.352583 -0.348028 22/7 3/1 4 5 -0.317953 In -0.319829 -0.316077 23/7 4/1 2 5 -0.305013 In -0.311064 -0.298962 24/7 1/0 2 5 -0.291869 In -0.299561 -0.284178 25/7 3/1 1 5 -0.279846 In -0.282716 -0.276976 26/7 4/1 1 5 -0.269322 In -0.270652 -0.267993 27/7 3/1 1 5 -0.259076 In -0.262766 -0.255386 29/7 5/1 1 5 -0.241627 In -0.244836 -0.238417 30/7 4/1 1 5 -0.233274 In -0.234271 -0.232277 31/7 5/1 1 5 -0.225941 In -0.227813 -0.224070 32/7 1/0 2 5 -0.218835 In -0.223161 -0.214510 33/7 4/1 2 5 -0.211897 In -0.214818 -0.208976 34/7 5/1 4 5 -0.205986 In -0.206773 -0.205199 36/7 5/1 4 5 -0.194357 In -0.195058 -0.193656 37/7 6/1 2 5 -0.189429 In -0.191763 -0.187094 38/7 1/0 2 5 -0.184262 In -0.187328 -0.181195 39/7 5/1 1 5 -0.179420 In -0.180600 -0.178240 40/7 6/1 1 5 -0.175038 In -0.175599 -0.174476 41/7 5/1 1 5 -0.170644 In -0.172245 -0.169043 43/7 7/1 1 5 -0.162897 In -0.164356 -0.161438 44/7 6/1 1 5 -0.159063 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