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 22 -49/1 -49/1 1 22 -48/1 -48/1 1 22 -47/1 -47/1 1 22 -46/1 -46/1 1 22 -45/1 -45/1 1 22 -44/1 -44/1 1 22 -43/1 -43/1 1 22 -42/1 -42/1 1 22 -41/1 -41/1 1 22 -40/1 -40/1 1 22 -39/1 -39/1 1 22 -38/1 -38/1 1 22 -37/1 -37/1 1 22 -36/1 -36/1 1 22 -35/1 -35/1 1 22 -34/1 -34/1 1 22 -33/1 -33/1 1 22 -32/1 -32/1 1 22 -31/1 -31/1 1 22 -30/1 -30/1 1 22 -29/1 -29/1 1 22 -28/1 -28/1 1 22 -27/1 -27/1 1 22 -26/1 -26/1 1 22 -25/1 -25/1 1 22 -24/1 -24/1 1 22 -23/1 -23/1 1 22 -22/1 -22/1 1 22 -21/1 -21/1 1 22 -20/1 -20/1 1 22 -19/1 -19/1 1 22 -18/1 -18/1 1 22 -17/1 -17/1 1 22 -16/1 -16/1 1 22 -15/1 -15/1 1 22 -14/1 -14/1 1 22 -13/1 -13/1 1 22 -12/1 -12/1 1 22 -11/1 -11/1 1 22 -10/1 -10/1 1 22 -9/1 -9/1 1 22 -8/1 -8/1 1 22 -7/1 -7/1 1 22 -6/1 -6/1 1 22 -5/1 -5/1 1 22 -4/1 -4/1 1 22 -3/1 -3/1 1 22 -2/1 -2/1 1 22 -1/1 -1/1 1 22 0/1 0/1 1 22 1/1 1/1 1 22 2/1 2/1 1 22 3/1 3/1 1 22 4/1 4/1 1 22 5/1 5/1 1 22 6/1 6/1 1 22 7/1 7/1 1 22 8/1 8/1 1 22 9/1 9/1 1 22 10/1 10/1 1 22 11/1 11/1 1 22 12/1 12/1 1 22 13/1 13/1 1 22 14/1 14/1 1 22 15/1 15/1 1 22 16/1 16/1 1 22 17/1 17/1 1 22 18/1 18/1 1 22 19/1 19/1 1 22 20/1 20/1 1 22 21/1 21/1 1 22 22/1 22/1 1 22 23/1 23/1 1 22 24/1 24/1 1 22 25/1 25/1 1 22 26/1 26/1 1 22 27/1 27/1 1 22 28/1 28/1 1 22 29/1 29/1 1 22 30/1 30/1 1 22 31/1 31/1 1 22 32/1 32/1 1 22 33/1 33/1 1 22 34/1 34/1 1 22 35/1 35/1 1 22 36/1 36/1 1 22 37/1 37/1 1 22 38/1 38/1 1 22 39/1 39/1 1 22 40/1 40/1 1 22 41/1 41/1 1 22 42/1 42/1 1 22 43/1 43/1 1 22 44/1 44/1 1 22 45/1 45/1 1 22 46/1 46/1 1 22 47/1 47/1 1 22 48/1 48/1 1 22 49/1 49/1 1 22 50/1 50/1 1 22 -49/2 0 11 -47/2 0 11 -45/2 0 11 -43/2 0 11 -41/2 0 11 -39/2 0 11 -37/2 0 11 -35/2 0 11 -33/2 0 11 -31/2 0 11 -29/2 0 11 -27/2 0 11 -25/2 0 11 -23/2 0 11 -21/2 0 11 -19/2 0 11 -17/2 0 11 -15/2 0 11 -13/2 0 11 -11/2 0 11 -9/2 0 11 -7/2 0 11 -5/2 0 11 -3/2 0 11 -1/2 0 11 1/2 0 11 3/2 0 11 5/2 0 11 7/2 0 11 9/2 0 11 11/2 0 11 13/2 0 11 15/2 0 11 17/2 0 11 19/2 0 11 21/2 0 11 23/2 0 11 25/2 0 11 27/2 0 11 29/2 0 11 31/2 0 11 33/2 0 11 35/2 0 11 37/2 0 11 39/2 0 11 41/2 0 11 43/2 0 11 45/2 0 11 47/2 0 11 49/2 0 11 -50/3 -16/1 1 22 0.059988 In 0.059817 0.060160 -49/3 -17/1 1 22 0.061238 In 0.061059 0.061416 -47/3 -15/1 1 22 0.063817 In 0.063623 0.064011 -46/3 -16/1 1 22 0.065232 In 0.065030 0.065435 -44/3 -14/1 1 22 0.068167 In 0.067946 0.068388 -43/3 -15/1 1 22 0.069785 In 0.069553 0.070017 -41/3 -13/1 1 22 0.073154 In 0.072899 0.073408 -40/3 -14/1 1 22 0.075020 In 0.074752 0.075288 -38/3 -12/1 1 22 0.078927 In 0.078631 0.079224 -37/3 -13/1 1 22 0.081105 In 0.080791 0.081418 -35/3 -11/1 1 22 0.085691 In 0.085341 0.086041 -34/3 -12/1 1 22 0.088263 In 0.087892 0.088634 -32/3 -10/1 1 22 0.093722 In 0.093304 0.094140 -31/3 -11/1 1 22 0.096808 In 0.096362 0.097254 -29/3 -9/1 1 22 0.103415 In 0.102905 0.103924 -28/3 -10/1 1 22 0.107185 In 0.106637 0.107732 -26/3 -8/1 1 22 0.115343 In 0.114710 0.115977 -25/3 -9/1 1 22 0.120053 In 0.119366 0.120739 -23/3 -7/1 1 22 0.130382 In 0.129573 0.131192 -22/3 -8/1 1 22 0.136432 In 0.135546 0.137319 -20/3 -6/1 1 22 0.149932 In 0.148861 0.151002 -19/3 -7/1 1 22 0.157988 In 0.156800 0.159177 -17/3 -5/1 1 22 0.176378 In 0.174896 0.177859 -16/3 -6/1 1 22 0.187634 In 0.185958 0.189310 -14/3 -4/1 1 22 0.214153 In 0.211969 0.216336 -13/3 -5/1 1 22 0.230978 In 0.228437 0.233518 -11/3 -3/1 1 22 0.272522 In 0.268986 0.276058 -10/3 -4/1 1 22 0.300366 In 0.296071 0.304662 -8/3 -2/1 1 22 0.374644 In 0.367962 0.381325 -7/3 -3/1 1 22 0.429373 In 0.420598 0.438149 -5/3 -1/1 1 22 0.599271 In 0.582184 0.616359 -4/3 -2/1 1 22 0.752874 In 0.725917 0.779830 -2/3 0/1 1 22 1.500000 In 1.393400 1.606600 -1/3 -1/1 1 22 3.095238 In 2.648532 3.541944 1/3 1/1 1 22 -3.095238 In -3.541944 -2.648532 2/3 0/1 1 22 -1.500000 In -1.606600 -1.393400 4/3 2/1 1 22 -0.752874 In -0.779830 -0.725917 5/3 1/1 1 22 -0.599271 In -0.616359 -0.582184 7/3 3/1 1 22 -0.429373 In -0.438149 -0.420598 8/3 2/1 1 22 -0.374644 In -0.381325 -0.367962 10/3 4/1 1 22 -0.300366 In -0.304662 -0.296071 11/3 3/1 1 22 -0.272522 In -0.276058 -0.268986 13/3 5/1 1 22 -0.230978 In -0.233518 -0.228437 14/3 4/1 1 22 -0.214153 In -0.216336 -0.211969 16/3 6/1 1 22 -0.187634 In -0.189310 -0.185958 17/3 5/1 1 22 -0.176378 In -0.177859 -0.174896 19/3 7/1 1 22 -0.157988 In -0.159177 -0.156800 20/3 6/1 1 22 -0.149932 In -0.151002 -0.148861 22/3 8/1 1 22 -0.136432 In -0.137319 -0.135546 23/3 7/1 1 22 -0.130382 In -0.131192 -0.129573 25/3 9/1 1 22 -0.120053 In -0.120739 -0.119366 26/3 8/1 1 22 -0.115343 In -0.115977 -0.114710 28/3 10/1 1 22 -0.107185 In -0.107732 -0.106637 29/3 9/1 1 22 -0.103415 In -0.103924 -0.102905 31/3 11/1 1 22 -0.096808 In -0.097254 -0.096362 32/3 10/1 1 22 -0.093722 In -0.094140 -0.093304 34/3 12/1 1 22 -0.088263 In -0.088634 -0.087892 35/3 11/1 1 22 -0.085691 In -0.086041 -0.085341 37/3 13/1 1 22 -0.081105 In -0.081418 -0.080791 38/3 12/1 1 22 -0.078927 In -0.079224 -0.078631 40/3 14/1 1 22 -0.075020 In -0.075288 -0.074752 41/3 13/1 1 22 -0.073154 In -0.073408 -0.072899 43/3 15/1 1 22 -0.069785 In -0.070017 -0.069553 44/3 14/1 1 22 -0.068167 In -0.068388 -0.067946 46/3 16/1 1 22 -0.065232 In -0.065435 -0.065030 47/3 15/1 1 22 -0.063817 In -0.064011 -0.063623 49/3 17/1 1 22 -0.061238 In -0.061416 -0.061059 50/3 16/1 1 22 -0.059988 In -0.060160 -0.059817 -49/4 1/0 1 11 0.081636 In 0.081133 0.082138 -47/4 1/0 1 11 0.085110 In 0.084564 0.085656 -45/4 1/0 1 11 0.088893 In 0.088297 0.089488 -43/4 1/0 1 11 0.093028 In 0.092376 0.093680 -41/4 1/0 1 11 0.097566 In 0.096849 0.098284 -39/4 1/0 1 11 0.102570 In 0.101777 0.103363 -37/4 1/0 1 11 0.108115 In 0.107234 0.108996 -35/4 1/0 1 11 0.114294 In 0.113310 0.115279 -33/4 1/0 1 11 0.121222 In 0.120115 0.122330 -31/4 1/0 1 11 0.129044 In 0.127789 0.130300 -29/4 1/0 1 11 0.137946 In 0.136512 0.139380 -27/4 1/0 1 11 0.148167 In 0.146512 0.149821 -25/4 1/0 1 11 0.160023 In 0.158093 0.161953 -23/4 1/0 1 11 0.173943 In 0.171663 0.176223 -21/4 1/0 1 11 0.190515 In 0.187780 0.193251 -19/4 1/0 1 11 0.210579 In 0.207238 0.213921 -17/4 1/0 1 11 0.235368 In 0.231194 0.239543 -15/4 1/0 1 11 0.266774 In 0.261412 0.272137 -13/4 1/0 1 11 0.307858 In 0.300718 0.314998 -11/4 1/0 1 11 0.363910 In 0.353935 0.373885 -9/4 1/0 1 11 0.444944 In 0.430038 0.459850 -7/4 1/0 1 11 0.572491 In 0.547832 0.597150 -5/4 1/0 1 11 0.802920 In 0.754502 0.851338 -3/4 1/0 1 11 1.346939 In 1.211566 1.482311 -1/4 1/0 1 11 4.400000 In 3.073350 5.726650 1/4 1/0 1 11 -4.400000 In -5.726650 -3.073350 3/4 1/0 1 11 -1.346939 In -1.482311 -1.211566 5/4 1/0 1 11 -0.802920 In -0.851338 -0.754502 7/4 1/0 1 11 -0.572491 In -0.597150 -0.547832 9/4 1/0 1 11 -0.444944 In -0.459850 -0.430038 11/4 1/0 1 11 -0.363910 In -0.373885 -0.353935 13/4 1/0 1 11 -0.307858 In -0.314998 -0.300718 15/4 1/0 1 11 -0.266774 In -0.272137 -0.261412 17/4 1/0 1 11 -0.235368 In -0.239543 -0.231194 19/4 1/0 1 11 -0.210579 In -0.213921 -0.207238 21/4 1/0 1 11 -0.190515 In -0.193251 -0.187780 23/4 1/0 1 11 -0.173943 In -0.176223 -0.171663 25/4 1/0 1 11 -0.160023 In -0.161953 -0.158093 27/4 1/0 1 11 -0.148167 In -0.149821 -0.146512 29/4 1/0 1 11 -0.137946 In -0.139380 -0.136512 31/4 1/0 1 11 -0.129044 In -0.130300 -0.127789 33/4 1/0 1 11 -0.121222 In -0.122330 -0.120115 35/4 1/0 1 11 -0.114294 In -0.115279 -0.113310 37/4 1/0 1 11 -0.108115 In -0.108996 -0.107234 39/4 1/0 1 11 -0.102570 In -0.103363 -0.101777 41/4 1/0 1 11 -0.097566 In -0.098284 -0.096849 43/4 1/0 1 11 -0.093028 In -0.093680 -0.092376 45/4 1/0 1 11 -0.088893 In -0.089488 -0.088297 47/4 1/0 1 11 -0.085110 In -0.085656 -0.084564 49/4 1/0 1 11 -0.081636 In -0.082138 -0.081133 -49/5 -29/3 1 22 0.102018 In 0.101838 0.102199 -48/5 -10/1 1 22 0.104175 In 0.103989 0.104360 -47/5 -9/1 1 22 0.106375 In 0.106182 0.106568 -46/5 -28/3 1 22 0.108722 In 0.108517 0.108927 -44/5 -26/3 1 22 0.113608 In 0.113384 0.113832 -43/5 -9/1 1 22 0.116289 In 0.116058 0.116520 -42/5 -8/1 1 22 0.119038 In 0.118796 0.119280 -41/5 -25/3 1 22 0.121985 In 0.121727 0.122243 -39/5 -23/3 1 22 0.128169 In 0.127884 0.128454 -38/5 -8/1 1 22 0.131592 In 0.131296 0.131888 -37/5 -7/1 1 22 0.135123 In 0.134811 0.135435 -36/5 -22/3 1 22 0.138932 In 0.138598 0.139267 -34/5 -20/3 1 22 0.147012 In 0.146637 0.147387 -33/5 -7/1 1 22 0.151533 In 0.151141 0.151925 -32/5 -6/1 1 22 0.156233 In 0.155816 0.156650 -31/5 -19/3 1 22 0.161349 In 0.160898 0.161801 -29/5 -17/3 1 22 0.172349 In 0.171834 0.172864 -28/5 -6/1 1 22 0.178596 In 0.178051 0.179141 -27/5 -5/1 1 22 0.185162 In 0.184576 0.185748 -26/5 -16/3 1 22 0.192392 In 0.191750 0.193034 -24/5 -14/3 1 22 0.208240 In 0.207488 0.208992 -23/5 -5/1 1 22 0.217429 In 0.216621 0.218237 -22/5 -4/1 1 22 0.227239 In 0.226356 0.228121 -21/5 -13/3 1 22 0.238225 In 0.237241 0.239209 -19/5 -11/3 1 22 0.263010 In 0.261810 0.264209 -18/5 -4/1 1 22 0.277840 In 0.276521 0.279159 -17/5 -3/1 1 22 0.294062 In 0.292585 0.295540 -16/5 -10/3 1 22 0.312726 In 0.311030 0.314422 -14/5 -8/3 1 22 0.356874 In 0.354666 0.359082 -13/5 -3/1 1 22 0.384740 In 0.382211 0.387269 -12/5 -2/1 1 22 0.416561 In 0.413596 0.419526 -11/5 -7/3 1 22 0.455033 In 0.451442 0.458623 -9/5 -5/3 1 22 0.554923 In 0.549584 0.560262 -8/5 -2/1 1 22 0.625356 In 0.618675 0.632038 -7/5 -1/1 1 22 0.714020 In 0.705310 0.722731 -6/5 -4/3 1 22 0.835052 In 0.822963 0.847140 -4/5 -2/3 1 22 1.247126 In 1.220170 1.274083 -3/5 -1/1 1 22 1.670051 In 1.622432 1.717669 -2/5 0/1 1 22 2.500000 In 2.393400 2.606600 -1/5 -1/3 1 22 5.095238 In 4.648532 5.541944 1/5 1/3 1 22 -5.095238 In -5.541944 -4.648532 2/5 0/1 1 22 -2.500000 In -2.606600 -2.393400 3/5 1/1 1 22 -1.670051 In -1.717669 -1.622432 4/5 2/3 1 22 -1.247126 In -1.274083 -1.220170 6/5 4/3 1 22 -0.835052 In -0.847140 -0.822963 7/5 1/1 1 22 -0.714020 In -0.722731 -0.705310 8/5 2/1 1 22 -0.625356 In -0.632038 -0.618675 9/5 5/3 1 22 -0.554923 In -0.560262 -0.549584 11/5 7/3 1 22 -0.455033 In -0.458623 -0.451442 12/5 2/1 1 22 -0.416561 In -0.419526 -0.413596 13/5 3/1 1 22 -0.384740 In -0.387269 -0.382211 14/5 8/3 1 22 -0.356874 In -0.359082 -0.354666 16/5 10/3 1 22 -0.312726 In -0.314422 -0.311030 17/5 3/1 1 22 -0.294062 In -0.295540 -0.292585 18/5 4/1 1 22 -0.277840 In -0.279159 -0.276521 19/5 11/3 1 22 -0.263010 In -0.264209 -0.261810 21/5 13/3 1 22 -0.238225 In -0.239209 -0.237241 22/5 4/1 1 22 -0.227239 In -0.228121 -0.226356 23/5 5/1 1 22 -0.217429 In -0.218237 -0.216621 24/5 14/3 1 22 -0.208240 In -0.208992 -0.207488 26/5 16/3 1 22 -0.192392 In -0.193034 -0.191750 27/5 5/1 1 22 -0.185162 In -0.185748 -0.184576 28/5 6/1 1 22 -0.178596 In -0.179141 -0.178051 29/5 17/3 1 22 -0.172349 In -0.172864 -0.171834 31/5 19/3 1 22 -0.161349 In -0.161801 -0.160898 32/5 6/1 1 22 -0.156233 In -0.156650 -0.155816 33/5 7/1 1 22 -0.151533 In -0.151925 -0.151141 34/5 20/3 1 22 -0.147012 In -0.147387 -0.146637 36/5 22/3 1 22 -0.138932 In -0.139267 -0.138598 37/5 7/1 1 22 -0.135123 In -0.135435 -0.134811 38/5 8/1 1 22 -0.131592 In -0.131888 -0.131296 39/5 23/3 1 22 -0.128169 In -0.128454 -0.127884 41/5 25/3 1 22 -0.121985 In -0.122243 -0.121727 42/5 8/1 1 22 -0.119038 In -0.119280 -0.118796 43/5 9/1 1 22 -0.116289 In -0.116520 -0.116058 44/5 26/3 1 22 -0.113608 In -0.113832 -0.113384 46/5 28/3 1 22 -0.108722 In -0.108927 -0.108517 47/5 9/1 1 22 -0.106375 In -0.106568 -0.106182 48/5 10/1 1 22 -0.104175 In -0.104360 -0.103989 49/5 29/3 1 22 -0.102018 In -0.102199 -0.101838 -49/6 0 11 -47/6 0 11 -43/6 0 11 -41/6 0 11 -37/6 0 11 -35/6 0 11 -31/6 0 11 -29/6 0 11 -25/6 0 11 -23/6 0 11 -19/6 0 11 -17/6 0 11 -13/6 0 11 -11/6 0 11 -7/6 0 11 -5/6 0 11 -1/6 0 11 1/6 0 11 5/6 0 11 7/6 0 11 11/6 0 11 13/6 0 11 17/6 0 11 19/6 0 11 23/6 0 11 25/6 0 11 29/6 0 11 31/6 0 11 35/6 0 11 37/6 0 11 41/6 0 11 43/6 0 11 47/6 0 11 49/6 0 11 -50/7 -8/1 1 22 0.140017 In 0.139505 0.140530 -48/7 -6/1 1 22 0.145819 In 0.145263 0.146374 -47/7 -7/1 1 22 0.148942 In 0.148749 0.149136 -46/7 -6/1 1 22 0.152163 In 0.151759 0.152566 -45/7 -7/1 1 22 0.155570 In 0.155148 0.155991 -44/7 -6/1 1 22 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