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 29 -49/1 0 29 -48/1 -48/1 1 29 -47/1 0 29 -46/1 -46/1 1 29 -45/1 0 29 -44/1 -44/1 1 29 -43/1 0 29 -42/1 -42/1 1 29 -41/1 0 29 -40/1 -40/1 1 29 -39/1 0 29 -38/1 -38/1 1 29 -37/1 0 29 -36/1 -36/1 1 29 -35/1 0 29 -34/1 -34/1 1 29 -33/1 0 29 -32/1 -32/1 1 29 -31/1 0 29 -30/1 -30/1 1 29 -29/1 0 29 -28/1 -28/1 1 29 -27/1 0 29 -26/1 -26/1 1 29 -25/1 0 29 -24/1 -24/1 1 29 -23/1 0 29 -22/1 -22/1 1 29 -21/1 0 29 -20/1 -20/1 1 29 -19/1 0 29 -18/1 -18/1 1 29 -17/1 0 29 -16/1 -16/1 1 29 -15/1 0 29 -14/1 -14/1 1 29 -13/1 0 29 -12/1 -12/1 1 29 -11/1 0 29 -10/1 -10/1 1 29 -9/1 0 29 -8/1 -8/1 1 29 -7/1 0 29 -6/1 -6/1 1 29 -5/1 0 29 -4/1 -4/1 1 29 -3/1 0 29 -2/1 -2/1 1 29 -1/1 0 29 0/1 0/1 1 29 1/1 0 29 2/1 2/1 1 29 3/1 0 29 4/1 4/1 1 29 5/1 0 29 6/1 6/1 1 29 7/1 0 29 8/1 8/1 1 29 9/1 0 29 10/1 10/1 1 29 11/1 0 29 12/1 12/1 1 29 13/1 0 29 14/1 14/1 1 29 15/1 0 29 16/1 16/1 1 29 17/1 0 29 18/1 18/1 1 29 19/1 0 29 20/1 20/1 1 29 21/1 0 29 22/1 22/1 1 29 23/1 0 29 24/1 24/1 1 29 25/1 0 29 26/1 26/1 1 29 27/1 0 29 28/1 28/1 1 29 29/1 0 29 30/1 30/1 1 29 31/1 0 29 32/1 32/1 1 29 33/1 0 29 34/1 34/1 1 29 35/1 0 29 36/1 36/1 1 29 37/1 0 29 38/1 38/1 1 29 39/1 0 29 40/1 40/1 1 29 41/1 0 29 42/1 42/1 1 29 43/1 0 29 44/1 44/1 1 29 45/1 0 29 46/1 46/1 1 29 47/1 0 29 48/1 48/1 1 29 49/1 0 29 50/1 50/1 1 29 -49/2 0 29 -47/2 0 29 -45/2 0 29 -43/2 0 29 -41/2 0 29 -39/2 0 29 -37/2 0 29 -35/2 0 29 -33/2 0 29 -31/2 0 29 -29/2 0 29 -27/2 0 29 -25/2 0 29 -23/2 0 29 -21/2 0 29 -19/2 0 29 -17/2 0 29 -15/2 0 29 -13/2 0 29 -11/2 0 29 -9/2 0 29 -7/2 0 29 -5/2 0 29 -3/2 0 29 -1/2 0 29 1/2 0 29 3/2 0 29 5/2 0 29 7/2 0 29 9/2 0 29 11/2 0 29 13/2 0 29 15/2 0 29 17/2 0 29 19/2 0 29 21/2 0 29 23/2 0 29 25/2 0 29 27/2 0 29 29/2 0 29 31/2 0 29 33/2 0 29 35/2 0 29 37/2 0 29 39/2 0 29 41/2 0 29 43/2 0 29 45/2 0 29 47/2 0 29 49/2 0 29 -50/3 -16/1 1 29 0.059991 In 0.059842 0.060140 -49/3 0 29 -47/3 0 29 -46/3 -16/1 1 29 0.065229 In 0.065053 0.065405 -44/3 -14/1 1 29 0.068170 In 0.067978 0.068363 -43/3 0 29 -41/3 0 29 -40/3 -14/1 1 29 0.075015 In 0.074782 0.075248 -38/3 -12/1 1 29 0.078932 In 0.078674 0.079190 -37/3 0 29 -35/3 0 29 -34/3 -12/1 1 29 0.088256 In 0.087934 0.088579 -32/3 -10/1 1 29 0.093729 In 0.093365 0.094093 -31/3 0 29 -29/3 0 29 -28/3 -10/1 1 29 0.107174 In 0.106699 0.107650 -26/3 -8/1 1 29 0.115353 In 0.114802 0.115904 -25/3 0 29 -23/3 0 29 -22/3 -8/1 1 29 0.136416 In 0.135645 0.137187 -20/3 -6/1 1 29 0.149948 In 0.149017 0.150879 -19/3 0 29 -17/3 0 29 -16/3 -6/1 1 29 0.187602 In 0.186144 0.189059 -14/3 -4/1 1 29 0.214185 In 0.212285 0.216085 -13/3 0 29 -11/3 0 29 -10/3 -4/1 1 29 0.300277 In 0.296543 0.304012 -8/3 -2/1 1 29 0.374730 In 0.368915 0.380546 -7/3 0 29 -5/3 0 29 -4/3 -2/1 1 29 0.752174 In 0.728760 0.775588 -2/3 0/1 1 29 1.500000 In 1.407152 1.592848 -1/3 0 29 1/3 0 29 2/3 0/1 1 29 -1.500000 In -1.592848 -1.407152 4/3 2/1 1 29 -0.752174 In -0.775588 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0.207003 0.209584 -23/5 0 29 -22/5 -6/1 1 29 0.227429 In 0.224351 0.230506 -21/5 0 29 -19/5 0 29 -18/5 -2/1 1 29 0.277683 In 0.273096 0.282270 -17/5 0 29 -16/5 -4/1 1 29 0.312635 In 0.309727 0.315543 -14/5 -2/1 1 29 0.357042 In 0.353250 0.360835 -13/5 0 29 -12/5 -4/1 1 29 0.417308 In 0.406952 0.427664 -11/5 0 29 -9/5 0 29 -8/5 0/1 1 29 0.625000 In 0.601788 0.648212 -7/5 0 29 -6/5 -2/1 1 29 0.834615 In 0.813903 0.855328 -4/5 0/1 1 29 1.250000 In 1.203576 1.296424 -3/5 0 29 -2/5 -2/1 1 29 2.571429 In 2.186774 2.956083 -1/5 0 29 1/5 0 29 2/5 2/1 1 29 -2.571429 In -2.956083 -2.186774 3/5 0 29 4/5 0/1 1 29 -1.250000 In -1.296424 -1.203576 6/5 2/1 1 29 -0.834615 In -0.855328 -0.813903 7/5 0 29 8/5 0/1 1 29 -0.625000 In -0.648212 -0.601788 9/5 0 29 11/5 0 29 12/5 4/1 1 29 -0.417308 In -0.427664 -0.406952 13/5 0 29 14/5 2/1 1 29 -0.357042 In -0.360835 -0.353250 16/5 4/1 1 29 -0.312635 In -0.315543 -0.309727 17/5 0 29 18/5 2/1 1 29 -0.277683 In -0.282270 -0.273096 19/5 0 29 21/5 0 29 22/5 6/1 1 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0 29 49/6 0 29 -50/7 -8/1 1 29 0.140013 In 0.139567 0.140459 -48/7 -6/1 1 29 0.145822 In 0.145338 0.146306 -47/7 0 29 -46/7 -6/1 1 29 0.152165 In 0.151814 0.152517 -45/7 0 29 -44/7 -6/1 1 29 0.159086 In 0.158894 0.159278 -43/7 0 29 -41/7 0 29 -40/7 -6/1 1 29 0.175006 In 0.174774 0.175239 -39/7 0 29 -38/7 -6/1 1 29 0.184226 In 0.183711 0.184740 -37/7 0 29 -36/7 -6/1 1 29 0.194471 In 0.193611 0.195332 -34/7 -4/1 1 29 0.205861 In 0.204897 0.206826 -33/7 0 29 -32/7 -4/1 1 29 0.218733 In 0.218007 0.219459 -31/7 0 29 -30/7 -4/1 1 29 0.233323 In 0.232910 0.233736 -29/7 0 29 -27/7 0 29 -26/7 -4/1 1 29 0.269246 In 0.268697 0.269796 -25/7 0 29 -24/7 -4/1 1 29 0.291707 In 0.290416 0.292997 -23/7 0 29 -22/7 -4/1 1 29 0.318260 In 0.315955 0.320564 -20/7 -2/1 1 29 0.349948 In 0.347162 0.352735 -19/7 0 29 -18/7 -2/1 1 29 0.388842 In 0.386548 0.391135 -17/7 0 29 -16/7 -2/1 1 29 0.437466 In 0.436015 0.438918 -15/7 0 29 -13/7 0 29 -12/7 -2/1 1 29 0.583413 In 0.580832 0.585995 -11/7 0 29 -10/7 -2/1 1 29 0.700276 In 0.692838 0.707714 -9/7 0 29 -8/7 -2/1 1 29 0.875810 In 0.858363 0.893256 -6/7 0/1 1 29 1.166667 In 1.135717 1.197616 -5/7 0 29 -4/7 0/1 1 29 1.750000 In 1.703576 1.796424 -3/7 0 29 -2/7 0/1 1 29 3.500000 In 3.407152 3.592848 -1/7 0 29 1/7 0 29 2/7 0/1 1 29 -3.500000 In -3.592848 -3.407152 3/7 0 29 4/7 0/1 1 29 -1.750000 In -1.796424 -1.703576 5/7 0 29 6/7 0/1 1 29 -1.166667 In -1.197616 -1.135717 8/7 2/1 1 29 -0.875810 In -0.893256 -0.858363 9/7 0 29 10/7 2/1 1 29 -0.700276 In -0.707714 -0.692838 11/7 0 29 12/7 2/1 1 29 -0.583413 In -0.585995 -0.580832 13/7 0 29 15/7 0 29 16/7 2/1 1 29 -0.437466 In -0.438918 -0.436015 17/7 0 29 18/7 2/1 1 29 -0.388842 In -0.391135 -0.386548 19/7 0 29 20/7 2/1 1 29 -0.349948 In -0.352735 -0.347162 22/7 4/1 1 29 -0.318260 In -0.320564 -0.315955 23/7 0 29 24/7 4/1 1 29 -0.291707 In -0.292997 -0.290416 25/7 0 29 26/7 4/1 1 29 -0.269246 In -0.269796 -0.268697 27/7 0 29 29/7 0 29 30/7 4/1 1 29 -0.233323 In -0.233736 -0.232910 31/7 0 29 32/7 4/1 1 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-50/9 -6/1 1 29 0.180007 In 0.179709 0.180304 -49/9 0 29 -47/9 0 29 -46/9 -26/5 1 29 0.195689 In 0.195334 0.196044 -44/9 -24/5 1 29 0.204506 In 0.204119 0.204894 -43/9 0 29 -41/9 0 29 -40/9 -4/1 1 29 0.224991 In 0.224527 0.225456 -38/9 -22/5 1 29 0.236954 In 0.235913 0.237995 -37/9 0 29 -35/9 0 29 -34/9 -18/5 1 29 0.264578 In 0.263281 0.265876 -32/9 -4/1 1 29 0.281267 In 0.280541 0.281993 -31/9 0 29 -29/9 0 29 -28/9 -16/5 1 29 0.321530 In 0.320572 0.322488 -26/9 -14/5 1 29 0.346043 In 0.344933 0.347153 -25/9 0 29 -23/9 0 29 -22/9 -2/1 1 29 0.409065 In 0.407530 0.410600 -20/9 -12/5 1 29 0.450419 In 0.446658 0.454180 -19/9 0 29 -17/9 0 29 -16/9 -8/5 1 29 0.561957 In 0.556103 0.567810 -14/9 -2/1 1 29 0.642958 In 0.639165 0.646750 -13/9 0 29 -11/9 0 29 -10/9 -6/5 1 29 0.900838 In 0.893317 0.908359 -8/9 -4/5 1 29 1.123913 In 1.112206 1.135620 -7/9 0 29 -5/9 0 29 -4/9 0/1 1 29 2.250000 In 2.203576 2.296424 -2/9 -2/5 1 29 4.571429 In 4.186774 4.956083 -1/9 0 29 1/9 0 29 2/9 2/5 1 29 -4.571429 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