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 0 22 -48/1 -48/1 1 22 -47/1 0 22 -46/1 -46/1 1 22 -45/1 0 22 -44/1 -44/1 1 22 -43/1 0 22 -42/1 -42/1 1 22 -41/1 0 22 -40/1 -40/1 1 22 -39/1 0 22 -38/1 -38/1 1 22 -37/1 0 22 -36/1 -36/1 1 22 -35/1 0 22 -34/1 -34/1 1 22 -33/1 0 22 -32/1 -32/1 1 22 -31/1 0 22 -30/1 -30/1 1 22 -29/1 0 22 -28/1 -28/1 1 22 -27/1 0 22 -26/1 -26/1 1 22 -25/1 0 22 -24/1 -24/1 1 22 -23/1 0 22 -22/1 -22/1 1 22 -21/1 0 22 -20/1 -20/1 1 22 -19/1 0 22 -18/1 -18/1 1 22 -17/1 0 22 -16/1 -16/1 1 22 -15/1 0 22 -14/1 -14/1 1 22 -13/1 0 22 -12/1 -12/1 1 22 -11/1 0 22 -10/1 -10/1 1 22 -9/1 0 22 -8/1 -8/1 1 22 -7/1 0 22 -6/1 -6/1 1 22 -5/1 0 22 -4/1 -4/1 1 22 -3/1 0 22 -2/1 -2/1 1 22 -1/1 0 22 0/1 0/1 1 22 1/1 0 22 2/1 2/1 1 22 3/1 0 22 4/1 4/1 1 22 5/1 0 22 6/1 6/1 1 22 7/1 0 22 8/1 8/1 1 22 9/1 0 22 10/1 10/1 1 22 11/1 0 22 12/1 12/1 1 22 13/1 0 22 14/1 14/1 1 22 15/1 0 22 16/1 16/1 1 22 17/1 0 22 18/1 18/1 1 22 19/1 0 22 20/1 20/1 1 22 21/1 0 22 22/1 22/1 1 22 23/1 0 22 24/1 24/1 1 22 25/1 0 22 26/1 26/1 1 22 27/1 0 22 28/1 28/1 1 22 29/1 0 22 30/1 30/1 1 22 31/1 0 22 32/1 32/1 1 22 33/1 0 22 34/1 34/1 1 22 35/1 0 22 36/1 36/1 1 22 37/1 0 22 38/1 38/1 1 22 39/1 0 22 40/1 40/1 1 22 41/1 0 22 42/1 42/1 1 22 43/1 0 22 44/1 44/1 1 22 45/1 0 22 46/1 46/1 1 22 47/1 0 22 48/1 48/1 1 22 49/1 0 22 50/1 50/1 1 22 -49/2 -25/1 1 11 0.040836 In 0.040707 0.040965 -47/2 -23/1 1 11 0.042533 In 0.042393 0.042672 -45/2 -23/1 1 11 0.044468 In 0.044315 0.044620 -43/2 -21/1 1 11 0.046487 In 0.046320 0.046654 -41/2 -21/1 1 11 0.048809 In 0.048625 0.048993 -39/2 -19/1 1 11 0.051252 In 0.051050 0.051455 -37/2 -19/1 1 11 0.054089 In 0.053863 0.054315 -35/2 -17/1 1 11 0.057106 In 0.056854 0.057358 -33/2 -17/1 1 11 0.060650 In 0.060366 0.060934 -31/2 -15/1 1 11 0.064469 In 0.064149 0.064790 -29/2 -15/1 1 11 0.069023 In 0.068655 0.069390 -27/2 -13/1 1 11 0.074013 In 0.073590 0.074435 -25/2 -13/1 1 11 0.080078 In 0.079583 0.080572 -23/2 -11/1 1 11 0.086873 In 0.086291 0.087455 -21/2 -11/1 1 11 0.095349 In 0.094648 0.096050 -19/2 -9/1 1 11 0.105141 In 0.104289 0.105994 -17/2 -9/1 1 11 0.117818 In 0.116747 0.118889 -15/2 -7/1 1 11 0.133141 In 0.131774 0.134508 -13/2 -7/1 1 11 0.154144 In 0.152311 0.155976 -11/2 -5/1 1 11 0.181470 In 0.178931 0.184010 -9/2 -5/1 1 11 0.222864 In 0.219034 0.226694 -7/2 -3/1 1 11 0.284906 In 0.278648 0.291163 -5/2 -3/1 1 11 0.402256 In 0.389787 0.414724 -3/2 -1/1 1 11 0.663265 In 0.629422 0.697108 -1/2 -1/1 1 11 2.100000 In 1.768338 2.431662 1/2 1/1 1 11 -2.100000 In -2.431662 -1.768338 3/2 1/1 1 11 -0.663265 In -0.697108 -0.629422 5/2 3/1 1 11 -0.402256 In -0.414724 -0.389787 7/2 3/1 1 11 -0.284906 In -0.291163 -0.278648 9/2 5/1 1 11 -0.222864 In -0.226694 -0.219034 11/2 5/1 1 11 -0.181470 In -0.184010 -0.178931 13/2 7/1 1 11 -0.154144 In -0.155976 -0.152311 15/2 7/1 1 11 -0.133141 In -0.134508 -0.131774 17/2 9/1 1 11 -0.117818 In -0.118889 -0.116747 19/2 9/1 1 11 -0.105141 In -0.105994 -0.104289 21/2 11/1 1 11 -0.095349 In -0.096050 -0.094648 23/2 11/1 1 11 -0.086873 In -0.087455 -0.086291 25/2 13/1 1 11 -0.080078 In -0.080572 -0.079583 27/2 13/1 1 11 -0.074013 In -0.074435 -0.073590 29/2 15/1 1 11 -0.069023 In -0.069390 -0.068655 31/2 15/1 1 11 -0.064469 In -0.064790 -0.064149 33/2 17/1 1 11 -0.060650 In -0.060934 -0.060366 35/2 17/1 1 11 -0.057106 In -0.057358 -0.056854 37/2 19/1 1 11 -0.054089 In -0.054315 -0.053863 39/2 19/1 1 11 -0.051252 In -0.051455 -0.051050 41/2 21/1 1 11 -0.048809 In -0.048993 -0.048625 43/2 21/1 1 11 -0.046487 In -0.046654 -0.046320 45/2 23/1 1 11 -0.044468 In -0.044620 -0.044315 47/2 23/1 1 11 -0.042533 In -0.042672 -0.042393 49/2 25/1 1 11 -0.040836 In -0.040965 -0.040707 -50/3 -16/1 1 22 0.059988 In 0.059817 0.060160 -49/3 0 22 -47/3 0 22 -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 0 22 -41/3 0 22 -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 0 22 -35/3 0 22 -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 0 22 -29/3 0 22 -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 0 22 -23/3 0 22 -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 0 22 -17/3 0 22 -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 0 22 -11/3 0 22 -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 0 22 -5/3 0 22 -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 0 22 1/3 0 22 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 0 22 7/3 0 22 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 0 22 13/3 0 22 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 0 22 19/3 0 22 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 0 22 25/3 0 22 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 0 22 31/3 0 22 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 0 22 37/3 0 22 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 0 22 43/3 0 22 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 0 22 49/3 0 22 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 0 22 -48/5 -28/3 1 22 0.104120 In 0.103744 0.104496 -47/5 0 22 -46/5 -10/1 1 22 0.108714 In 0.108310 0.109118 -44/5 -8/1 1 22 0.113619 In 0.113178 0.114060 -43/5 0 22 -42/5 -26/3 1 22 0.119113 In 0.118621 0.119605 -41/5 0 22 -39/5 0 22 -38/5 -22/3 1 22 0.131505 In 0.130905 0.132105 -37/5 0 22 -36/5 -8/1 1 22 0.138920 In 0.138261 0.139580 -34/5 -6/1 1 22 0.147031 In 0.146292 0.147770 -33/5 0 22 -32/5 -20/3 1 22 0.156363 In 0.155515 0.157211 -31/5 0 22 -29/5 0 22 -28/5 -16/3 1 22 0.178437 In 0.177333 0.179541 -27/5 0 22 -26/5 -6/1 1 22 0.192370 In 0.191105 0.193635 -24/5 -4/1 1 22 0.208281 In 0.206798 0.209763 -23/5 0 22 -22/5 -14/3 1 22 0.227516 In 0.225721 0.229311 -21/5 0 22 -19/5 0 22 -18/5 -10/3 1 22 0.277462 In 0.274792 0.280131 -17/5 0 22 -16/5 -4/1 1 22 0.312678 In 0.309337 0.316019 -14/5 -2/1 1 22 0.357010 In 0.352655 0.361365 -13/5 0 22 -12/5 -8/3 1 22 0.417526 In 0.411481 0.423570 -11/5 0 22 -9/5 0 22 -8/5 -4/3 1 22 0.623563 In 0.610085 0.637041 -7/5 0 22 -6/5 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38/5 22/3 1 22 -0.131505 In -0.132105 -0.130905 39/5 0 22 41/5 0 22 42/5 26/3 1 22 -0.119113 In -0.119605 -0.118621 43/5 0 22 44/5 8/1 1 22 -0.113619 In -0.114060 -0.113178 46/5 10/1 1 22 -0.108714 In -0.109118 -0.108310 47/5 0 22 48/5 28/3 1 22 -0.104120 In -0.104496 -0.103744 49/5 0 22 -49/6 -7/1 1 11 0.122411 In 0.121530 0.123292 -47/6 -9/1 1 11 0.127715 In 0.126756 0.128674 -43/6 -7/1 1 11 0.139527 In 0.139363 0.139690 -41/6 -7/1 1 11 0.146351 In 0.146171 0.146531 -37/6 -5/1 1 11 0.162099 In 0.160555 0.163643 -35/6 -7/1 1 11 0.171533 In 0.169804 0.173262 -31/6 -5/1 1 11 0.193533 In 0.193219 0.193848 -29/6 -5/1 1 11 0.206915 In 0.206556 0.207275 -25/6 -3/1 1 11 0.239878 In 0.236496 0.243259 -23/6 -5/1 1 11 0.261132 In 0.257125 0.265139 -19/6 -3/1 1 11 0.315750 In 0.314913 0.316587 -17/6 -3/1 1 11 0.352997 In 0.351951 0.354043 -13/6 -1/1 1 11 0.461249 In 0.448753 0.473744 -11/6 -3/1 1 11 0.546899 In 0.529337 0.564460 -7/6 -1/1 1 11 0.856877 In 0.850713 0.863042 -5/6 -1/1 1 11 1.200730 In 1.188625 1.212834 -1/6 1/1 1 11 6.700000 In 4.378363 9.021637 1/6 -1/1 1 11 -6.700000 In -9.021637 -4.378363 5/6 1/1 1 11 -1.200730 In -1.212834 -1.188625 7/6 1/1 1 11 -0.856877 In -0.863042 -0.850713 11/6 3/1 1 11 -0.546899 In -0.564460 -0.529337 13/6 1/1 1 11 -0.461249 In -0.473744 -0.448753 17/6 3/1 1 11 -0.352997 In -0.354043 -0.351951 19/6 3/1 1 11 -0.315750 In -0.316587 -0.314913 23/6 5/1 1 11 -0.261132 In -0.265139 -0.257125 25/6 3/1 1 11 -0.239878 In -0.243259 -0.236496 29/6 5/1 1 11 -0.206915 In -0.207275 -0.206556 31/6 5/1 1 11 -0.193533 In -0.193848 -0.193219 35/6 7/1 1 11 -0.171533 In -0.173262 -0.169804 37/6 5/1 1 11 -0.162099 In -0.163643 -0.160555 41/6 7/1 1 11 -0.146351 In -0.146531 -0.146171 43/6 7/1 1 11 -0.139527 In -0.139690 -0.139363 47/6 9/1 1 11 -0.127715 In -0.128674 -0.126756 49/6 7/1 1 11 -0.122411 In -0.123292 -0.121530 -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 0 22 -46/7 -6/1 1 22 0.152163 In 0.151759 0.152566 -45/7 0 22 -44/7 -6/1 1 22 0.159085 In 0.158864 0.159305 -43/7 0 22 -41/7 0 22 -40/7 -6/1 1 22 0.175009 In 0.174742 0.175275 -39/7 0 22 -38/7 -6/1 1 22 0.184230 In 0.183639 0.184822 -37/7 0 22 -36/7 -6/1 1 22 0.194480 In 0.193491 0.195468 -34/7 -4/1 1 22 0.205855 In 0.204747 0.206962 -33/7 0 22 -32/7 -4/1 1 22 0.218728 In 0.217894 0.219561 -31/7 0 22 -30/7 -4/1 1 22 0.233320 In 0.232846 0.233794 -29/7 0 22 -27/7 0 22 -26/7 -4/1 1 22 0.269251 In 0.268620 0.269883 -25/7 0 22 -24/7 -4/1 1 22 0.291719 In 0.290237 0.293202 -23/7 0 22 -22/7 -4/1 1 22 0.318284 In 0.315637 0.320931 -20/7 -2/1 1 22 0.349932 In 0.346732 0.353131 -19/7 0 22 -18/7 -2/1 1 22 0.388827 In 0.386193 0.391460 -17/7 0 22 -16/7 -2/1 1 22 0.437456 In 0.435789 0.439122 -15/7 0 22 -13/7 0 22 -12/7 -2/1 1 22 0.583439 In 0.580474 0.586404 -11/7 0 22 -10/7 -2/1 1 22 0.700364 In 0.691821 0.708908 -9/7 0 22 -8/7 -2/1 1 22 0.876068 In 0.856024 0.896113 -6/7 0/1 1 22 1.166667 In 1.131133 1.202200 -5/7 0 22 -4/7 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