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 7 -49/1 -49/1 1 7 -48/1 -48/1 1 7 -47/1 -47/1 1 7 -46/1 -46/1 1 7 -45/1 -45/1 1 7 -44/1 -44/1 1 7 -43/1 -43/1 1 7 -42/1 -42/1 1 7 -41/1 -41/1 1 7 -40/1 -40/1 1 7 -39/1 -39/1 1 7 -38/1 -38/1 1 7 -37/1 -37/1 1 7 -36/1 -36/1 1 7 -35/1 -35/1 1 7 -34/1 -34/1 1 7 -33/1 -33/1 1 7 -32/1 -32/1 1 7 -31/1 -31/1 1 7 -30/1 -30/1 1 7 -29/1 -29/1 1 7 -28/1 -28/1 1 7 -27/1 -27/1 1 7 -26/1 -26/1 1 7 -25/1 -25/1 1 7 -24/1 -24/1 1 7 -23/1 -23/1 1 7 -22/1 -22/1 1 7 -21/1 -21/1 1 7 -20/1 -20/1 1 7 -19/1 -19/1 1 7 -18/1 -18/1 1 7 -17/1 -17/1 1 7 -16/1 -16/1 1 7 -15/1 -15/1 1 7 -14/1 -14/1 1 7 -13/1 -13/1 1 7 -12/1 -12/1 1 7 -11/1 -11/1 1 7 -10/1 -10/1 1 7 -9/1 -9/1 1 7 -8/1 -8/1 1 7 -7/1 -7/1 1 7 -6/1 -6/1 1 7 -5/1 -5/1 1 7 -4/1 -4/1 1 7 -3/1 -3/1 1 7 -2/1 -2/1 1 7 -1/1 -1/1 1 7 0/1 0/1 1 7 1/1 1/1 1 7 2/1 2/1 1 7 3/1 3/1 1 7 4/1 4/1 1 7 5/1 5/1 1 7 6/1 6/1 1 7 7/1 7/1 1 7 8/1 8/1 1 7 9/1 9/1 1 7 10/1 10/1 1 7 11/1 11/1 1 7 12/1 12/1 1 7 13/1 13/1 1 7 14/1 14/1 1 7 15/1 15/1 1 7 16/1 16/1 1 7 17/1 17/1 1 7 18/1 18/1 1 7 19/1 19/1 1 7 20/1 20/1 1 7 21/1 21/1 1 7 22/1 22/1 1 7 23/1 23/1 1 7 24/1 24/1 1 7 25/1 25/1 1 7 26/1 26/1 1 7 27/1 27/1 1 7 28/1 28/1 1 7 29/1 29/1 1 7 30/1 30/1 1 7 31/1 31/1 1 7 32/1 32/1 1 7 33/1 33/1 1 7 34/1 34/1 1 7 35/1 35/1 1 7 36/1 36/1 1 7 37/1 37/1 1 7 38/1 38/1 1 7 39/1 39/1 1 7 40/1 40/1 1 7 41/1 41/1 1 7 42/1 42/1 1 7 43/1 43/1 1 7 44/1 44/1 1 7 45/1 45/1 1 7 46/1 46/1 1 7 47/1 47/1 1 7 48/1 48/1 1 7 49/1 49/1 1 7 50/1 50/1 1 7 -49/2 1/0 1 7 0.040819 In 0.040504 0.041134 -47/2 1/0 1 7 0.042556 In 0.042214 0.042898 -45/2 1/0 1 7 0.044448 In 0.044074 0.044821 -43/2 1/0 1 7 0.046515 In 0.046106 0.046924 -41/2 1/0 1 7 0.048785 In 0.048335 0.049234 -39/2 1/0 1 7 0.051287 In 0.050790 0.051784 -37/2 1/0 1 7 0.054060 In 0.053507 0.054612 -35/2 1/0 1 7 0.057150 In 0.056532 0.057767 -33/2 1/0 1 7 0.060614 In 0.059920 0.061308 -31/2 1/0 1 7 0.064526 In 0.063739 0.065312 -29/2 1/0 1 7 0.068977 In 0.068078 0.069876 -27/2 1/0 1 7 0.074089 In 0.073051 0.075126 -25/2 1/0 1 7 0.080018 In 0.078809 0.081228 -23/2 1/0 1 7 0.086980 In 0.085551 0.088409 -21/2 1/0 1 7 0.095269 In 0.093554 0.096984 -19/2 1/0 1 7 0.105305 In 0.103210 0.107400 -17/2 1/0 1 7 0.117705 In 0.115088 0.120322 -15/2 1/0 1 7 0.133418 In 0.130056 0.136780 -13/2 1/0 1 7 0.153976 In 0.149500 0.158453 -11/2 1/0 1 7 0.182033 In 0.175778 0.188288 -9/2 1/0 1 7 0.222615 In 0.213266 0.231964 -7/2 1/0 1 7 0.286550 In 0.271077 0.302022 -5/2 1/0 1 7 0.402299 In 0.371888 0.432710 -3/2 1/0 1 7 0.677419 In 0.592073 0.762766 -1/2 1/0 1 7 2.333333 In 1.451416 3.215250 1/2 1/0 1 7 -2.333333 In -3.215250 -1.451416 3/2 1/0 1 7 -0.677419 In -0.762766 -0.592073 5/2 1/0 1 7 -0.402299 In -0.432710 -0.371888 7/2 1/0 1 7 -0.286550 In -0.302022 -0.271077 9/2 1/0 1 7 -0.222615 In -0.231964 -0.213266 11/2 1/0 1 7 -0.182033 In -0.188288 -0.175778 13/2 1/0 1 7 -0.153976 In -0.158453 -0.149500 15/2 1/0 1 7 -0.133418 In -0.136780 -0.130056 17/2 1/0 1 7 -0.117705 In -0.120322 -0.115088 19/2 1/0 1 7 -0.105305 In -0.107400 -0.103210 21/2 1/0 1 7 -0.095269 In -0.096984 -0.093554 23/2 1/0 1 7 -0.086980 In -0.088409 -0.085551 25/2 1/0 1 7 -0.080018 In -0.081228 -0.078809 27/2 1/0 1 7 -0.074089 In -0.075126 -0.073051 29/2 1/0 1 7 -0.068977 In -0.069876 -0.068078 31/2 1/0 1 7 -0.064526 In -0.065312 -0.063739 33/2 1/0 1 7 -0.060614 In -0.061308 -0.059920 35/2 1/0 1 7 -0.057150 In -0.057767 -0.056532 37/2 1/0 1 7 -0.054060 In -0.054612 -0.053507 39/2 1/0 1 7 -0.051287 In -0.051784 -0.050790 41/2 1/0 1 7 -0.048785 In -0.049234 -0.048335 43/2 1/0 1 7 -0.046515 In -0.046924 -0.046106 45/2 1/0 1 7 -0.044448 In -0.044821 -0.044074 47/2 1/0 1 7 -0.042556 In -0.042898 -0.042214 49/2 1/0 1 7 -0.040819 In -0.041134 -0.040504 -50/3 -16/1 1 7 0.059963 In 0.059656 0.060270 -49/3 -17/1 1 7 0.061266 In 0.060946 0.061587 -47/3 -15/1 1 7 0.063788 In 0.063441 0.064135 -46/3 -16/1 1 7 0.065265 In 0.064902 0.065629 -44/3 -14/1 1 7 0.068134 In 0.067738 0.068530 -43/3 -15/1 1 7 0.069822 In 0.069406 0.070238 -41/3 -13/1 1 7 0.073116 In 0.072660 0.073572 -40/3 -14/1 1 7 0.075064 In 0.074583 0.075544 -38/3 -12/1 1 7 0.078884 In 0.078353 0.079415 -37/3 -13/1 1 7 0.081156 In 0.080594 0.081718 -35/3 -11/1 1 7 0.085640 In 0.085014 0.086266 -34/3 -12/1 1 7 0.088324 In 0.087658 0.088990 -32/3 -10/1 1 7 0.093662 In 0.092913 0.094410 -31/3 -11/1 1 7 0.096882 In 0.096081 0.097683 -29/3 -9/1 1 7 0.103341 In 0.102430 0.104253 -28/3 -10/1 1 7 0.107275 In 0.106293 0.108258 -26/3 -8/1 1 7 0.115253 In 0.114119 0.116386 -25/3 -9/1 1 7 0.120168 In 0.118935 0.121400 -23/3 -7/1 1 7 0.130268 In 0.128820 0.131716 -22/3 -8/1 1 7 0.136582 In 0.134991 0.138174 -20/3 -6/1 1 7 0.149783 In 0.147868 0.151697 -19/3 -7/1 1 7 0.158192 In 0.156057 0.160327 -17/3 -5/1 1 7 0.176176 In 0.173528 0.178825 -16/3 -6/1 1 7 0.187927 In 0.184914 0.190940 -14/3 -4/1 1 7 0.213864 In 0.209962 0.217767 -13/3 -5/1 1 7 0.231434 In 0.226864 0.236003 -11/3 -3/1 1 7 0.272076 In 0.265762 0.278391 -10/3 -4/1 1 7 0.301170 In 0.293433 0.308906 -8/3 -2/1 1 7 0.373874 In 0.361956 0.385792 -7/3 -3/1 1 7 0.431138 In 0.415295 0.446981 -5/3 -1/1 1 7 0.597701 In 0.567290 0.628112 -4/3 -2/1 1 7 0.759259 In 0.710264 0.808255 -2/3 0/1 1 7 1.500000 In 1.311018 1.688982 -1/3 -1/1 1 7 3.333333 In 2.451416 4.215250 1/3 1/1 1 7 -3.333333 In -4.215250 -2.451416 2/3 0/1 1 7 -1.500000 In -1.688982 -1.311018 4/3 2/1 1 7 -0.759259 In -0.808255 -0.710264 5/3 1/1 1 7 -0.597701 In -0.628112 -0.567290 7/3 3/1 1 7 -0.431138 In -0.446981 -0.415295 8/3 2/1 1 7 -0.373874 In -0.385792 -0.361956 10/3 4/1 1 7 -0.301170 In -0.308906 -0.293433 11/3 3/1 1 7 -0.272076 In -0.278391 -0.265762 13/3 5/1 1 7 -0.231434 In -0.236003 -0.226864 14/3 4/1 1 7 -0.213864 In -0.217767 -0.209962 16/3 6/1 1 7 -0.187927 In -0.190940 -0.184914 17/3 5/1 1 7 -0.176176 In -0.178825 -0.173528 19/3 7/1 1 7 -0.158192 In -0.160327 -0.156057 20/3 6/1 1 7 -0.149783 In -0.151697 -0.147868 22/3 8/1 1 7 -0.136582 In -0.138174 -0.134991 23/3 7/1 1 7 -0.130268 In -0.131716 -0.128820 25/3 9/1 1 7 -0.120168 In -0.121400 -0.118935 26/3 8/1 1 7 -0.115253 In -0.116386 -0.114119 28/3 10/1 1 7 -0.107275 In -0.108258 -0.106293 29/3 9/1 1 7 -0.103341 In -0.104253 -0.102430 31/3 11/1 1 7 -0.096882 In -0.097683 -0.096081 32/3 10/1 1 7 -0.093662 In -0.094410 -0.092913 34/3 12/1 1 7 -0.088324 In -0.088990 -0.087658 35/3 11/1 1 7 -0.085640 In -0.086266 -0.085014 37/3 13/1 1 7 -0.081156 In -0.081718 -0.080594 38/3 12/1 1 7 -0.078884 In -0.079415 -0.078353 40/3 14/1 1 7 -0.075064 In -0.075544 -0.074583 41/3 13/1 1 7 -0.073116 In -0.073572 -0.072660 43/3 15/1 1 7 -0.069822 In -0.070238 -0.069406 44/3 14/1 1 7 -0.068134 In -0.068530 -0.067738 46/3 16/1 1 7 -0.065265 In -0.065629 -0.064902 47/3 15/1 1 7 -0.063788 In -0.064135 -0.063441 49/3 17/1 1 7 -0.061266 In -0.061587 -0.060946 50/3 16/1 1 7 -0.059963 In -0.060270 -0.059656 -49/4 -25/2 1 7 0.081696 In 0.081369 0.082023 -47/4 -23/2 1 7 0.085041 In 0.084687 0.085395 -45/4 -23/2 1 7 0.088964 In 0.088576 0.089352 -43/4 -21/2 1 7 0.092945 In 0.092522 0.093368 -41/4 -21/2 1 7 0.097651 In 0.097184 0.098119 -39/4 -19/2 1 7 0.102469 In 0.101955 0.102984 -37/4 -19/2 1 7 0.108219 In 0.107646 0.108793 -35/4 -17/2 1 7 0.114168 In 0.113530 0.114807 -33/4 -17/2 1 7 0.121353 In 0.120631 0.122074 -31/4 -15/2 1 7 0.128883 In 0.128070 0.129697 -29/4 -15/2 1 7 0.138114 In 0.137179 0.139048 -27/4 -13/2 1 7 0.147953 In 0.146881 0.149025 -25/4 -13/2 1 7 0.160247 In 0.158989 0.161505 -23/4 -11/2 1 7 0.173646 In 0.172169 0.175123 -21/4 -11/2 1 7 0.190829 In 0.189045 0.192613 -19/4 -9/2 1 7 0.210139 In 0.207976 0.212302 -17/4 -9/2 1 7 0.235839 In 0.233115 0.238564 -15/4 -7/2 1 7 0.266055 In 0.262587 0.269523 -13/4 -7/2 1 7 0.308642 In 0.303976 0.313308 -11/4 -5/2 1 7 0.362530 In 0.356093 0.368968 -9/4 -5/2 1 7 0.446494 In 0.436732 0.456257 -7/4 -3/2 1 7 0.568862 In 0.553019 0.584705 -5/4 -3/2 1 7 0.807229 In 0.775352 0.839105 -3/4 -1/2 1 7 1.322581 In 1.237234 1.407927 -1/4 -1/2 1 7 4.333333 In 3.451416 5.215250 1/4 1/2 1 7 -4.333333 In -5.215250 -3.451416 3/4 1/2 1 7 -1.322581 In -1.407927 -1.237234 5/4 3/2 1 7 -0.807229 In -0.839105 -0.775352 7/4 3/2 1 7 -0.568862 In -0.584705 -0.553019 9/4 5/2 1 7 -0.446494 In -0.456257 -0.436732 11/4 5/2 1 7 -0.362530 In -0.368968 -0.356093 13/4 7/2 1 7 -0.308642 In -0.313308 -0.303976 15/4 7/2 1 7 -0.266055 In -0.269523 -0.262587 17/4 9/2 1 7 -0.235839 In -0.238564 -0.233115 19/4 9/2 1 7 -0.210139 In -0.212302 -0.207976 21/4 11/2 1 7 -0.190829 In -0.192613 -0.189045 23/4 11/2 1 7 -0.173646 In -0.175123 -0.172169 25/4 13/2 1 7 -0.160247 In -0.161505 -0.158989 27/4 13/2 1 7 -0.147953 In -0.149025 -0.146881 29/4 15/2 1 7 -0.138114 In -0.139048 -0.137179 31/4 15/2 1 7 -0.128883 In -0.129697 -0.128070 33/4 17/2 1 7 -0.121353 In -0.122074 -0.120631 35/4 17/2 1 7 -0.114168 In -0.114807 -0.113530 37/4 19/2 1 7 -0.108219 In -0.108793 -0.107646 39/4 19/2 1 7 -0.102469 In -0.102984 -0.101955 41/4 21/2 1 7 -0.097651 In -0.098119 -0.097184 43/4 21/2 1 7 -0.092945 In -0.093368 -0.092522 45/4 23/2 1 7 -0.088964 In -0.089352 -0.088576 47/4 23/2 1 7 -0.085041 In -0.085395 -0.084687 49/4 25/2 1 7 -0.081696 In -0.082023 -0.081369 -49/5 -29/3 1 7 0.101967 In 0.101635 0.102298 -48/5 -10/1 1 7 0.104193 In 0.103863 0.104523 -47/5 -9/1 1 7 0.106358 In 0.106014 0.106702 -46/5 -28/3 1 7 0.108782 In 0.108405 0.109160 -44/5 -26/3 1 7 0.113545 In 0.113134 0.113956 -43/5 -9/1 1 7 0.116312 In 0.115900 0.116723 -42/5 -8/1 1 7 0.119017 In 0.118586 0.119447 -41/5 -25/3 1 7 0.122061 In 0.121586 0.122536 -39/5 -23/3 1 7 0.128089 In 0.127566 0.128612 -38/5 -8/1 1 7 0.131621 In 0.131094 0.132148 -37/5 -7/1 1 7 0.135095 In 0.134540 0.135650 -36/5 -22/3 1 7 0.139031 In 0.138415 0.139647 -34/5 -20/3 1 7 0.146906 In 0.146218 0.147594 -33/5 -7/1 1 7 0.151571 In 0.150873 0.152270 -32/5 -6/1 1 7 0.156197 In 0.155455 0.156939 -31/5 -19/3 1 7 0.161483 In 0.160652 0.162314 -29/5 -17/3 1 7 0.172204 In 0.171259 0.173150 -28/5 -6/1 1 7 0.178650 In 0.177679 0.179621 -27/5 -5/1 1 7 0.185112 In 0.184070 0.186154 -26/5 -16/3 1 7 0.192583 In 0.191400 0.193765 -24/5 -14/3 1 7 0.208029 In 0.206650 0.209409 -23/5 -5/1 1 7 0.217510 In 0.216071 0.218948 -22/5 -4/1 1 7 0.227165 In 0.225596 0.228734 -21/5 -13/3 1 7 0.238520 In 0.236706 0.240333 -19/5 -11/3 1 7 0.262677 In 0.260477 0.264876 -18/5 -4/1 1 7 0.277975 In 0.275625 0.280325 -17/5 -3/1 1 7 0.293942 In 0.291315 0.296570 -16/5 -10/3 1 7 0.313239 In 0.310111 0.316366 -14/5 -8/3 1 7 0.356269 In 0.352224 0.360315 -13/5 -3/1 1 7 0.385009 In 0.380501 0.389516 -12/5 -2/1 1 7 0.416335 In 0.411064 0.421605 -11/5 -7/3 1 7 0.456140 In 0.449509 0.462771 -9/5 -5/3 1 7 0.553506 In 0.543743 0.563268 -8/5 -2/1 1 7 0.626126 In 0.614208 0.638044 -7/5 -1/1 1 7 0.713450 In 0.697978 0.728923 -6/5 -4/3 1 7 0.838983 In 0.816561 0.861405 -4/5 -2/3 1 7 1.240741 In 1.191745 1.289736 -3/5 -1/1 1 7 1.677419 In 1.592073 1.762766 -2/5 0/1 1 7 2.500000 In 2.311018 2.688982 -1/5 -1/3 1 7 5.333333 In 4.451416 6.215250 1/5 1/3 1 7 -5.333333 In -6.215250 -4.451416 2/5 0/1 1 7 -2.500000 In -2.688982 -2.311018 3/5 1/1 1 7 -1.677419 In -1.762766 -1.592073 4/5 2/3 1 7 -1.240741 In -1.289736 -1.191745 6/5 4/3 1 7 -0.838983 In -0.861405 -0.816561 7/5 1/1 1 7 -0.713450 In -0.728923 -0.697978 8/5 2/1 1 7 -0.626126 In -0.638044 -0.614208 9/5 5/3 1 7 -0.553506 In -0.563268 -0.543743 11/5 7/3 1 7 -0.456140 In -0.462771 -0.449509 12/5 2/1 1 7 -0.416335 In -0.421605 -0.411064 13/5 3/1 1 7 -0.385009 In -0.389516 -0.380501 14/5 8/3 1 7 -0.356269 In -0.360315 -0.352224 16/5 10/3 1 7 -0.313239 In -0.316366 -0.310111 17/5 3/1 1 7 -0.293942 In -0.296570 -0.291315 18/5 4/1 1 7 -0.277975 In -0.280325 -0.275625 19/5 11/3 1 7 -0.262677 In -0.264876 -0.260477 21/5 13/3 1 7 -0.238520 In -0.240333 -0.236706 22/5 4/1 1 7 -0.227165 In -0.228734 -0.225596 23/5 5/1 1 7 -0.217510 In -0.218948 -0.216071 24/5 14/3 1 7 -0.208029 In -0.209409 -0.206650 26/5 16/3 1 7 -0.192583 In -0.193765 -0.191400 27/5 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