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 14 -49/1 0 14 -48/1 -48/1 1 14 -47/1 0 14 -46/1 -46/1 1 14 -45/1 0 14 -44/1 -44/1 1 14 -43/1 0 14 -42/1 -42/1 1 14 -41/1 0 14 -40/1 -40/1 1 14 -39/1 0 14 -38/1 -38/1 1 14 -37/1 0 14 -36/1 -36/1 1 14 -35/1 0 14 -34/1 -34/1 1 14 -33/1 0 14 -32/1 -32/1 1 14 -31/1 0 14 -30/1 -30/1 1 14 -29/1 0 14 -28/1 -28/1 1 14 -27/1 0 14 -26/1 -26/1 1 14 -25/1 0 14 -24/1 -24/1 1 14 -23/1 0 14 -22/1 -22/1 1 14 -21/1 0 14 -20/1 -20/1 1 14 -19/1 0 14 -18/1 -18/1 1 14 -17/1 0 14 -16/1 -16/1 1 14 -15/1 0 14 -14/1 -14/1 1 14 -13/1 0 14 -12/1 -12/1 1 14 -11/1 0 14 -10/1 -10/1 1 14 -9/1 0 14 -8/1 -8/1 1 14 -7/1 0 14 -6/1 -6/1 1 14 -5/1 0 14 -4/1 -4/1 1 14 -3/1 0 14 -2/1 -2/1 1 14 -1/1 0 14 0/1 0/1 1 14 1/1 0 14 2/1 2/1 1 14 3/1 0 14 4/1 4/1 1 14 5/1 0 14 6/1 6/1 1 14 7/1 0 14 8/1 8/1 1 14 9/1 0 14 10/1 10/1 1 14 11/1 0 14 12/1 12/1 1 14 13/1 0 14 14/1 14/1 1 14 15/1 0 14 16/1 16/1 1 14 17/1 0 14 18/1 18/1 1 14 19/1 0 14 20/1 20/1 1 14 21/1 0 14 22/1 22/1 1 14 23/1 0 14 24/1 24/1 1 14 25/1 0 14 26/1 26/1 1 14 27/1 0 14 28/1 28/1 1 14 29/1 0 14 30/1 30/1 1 14 31/1 0 14 32/1 32/1 1 14 33/1 0 14 34/1 34/1 1 14 35/1 0 14 36/1 36/1 1 14 37/1 0 14 38/1 38/1 1 14 39/1 0 14 40/1 40/1 1 14 41/1 0 14 42/1 42/1 1 14 43/1 0 14 44/1 44/1 1 14 45/1 0 14 46/1 46/1 1 14 47/1 0 14 48/1 48/1 1 14 49/1 0 14 50/1 50/1 1 14 -49/2 0 7 -47/2 0 7 -45/2 0 7 -43/2 0 7 -41/2 0 7 -39/2 0 7 -37/2 0 7 -35/2 0 7 -33/2 0 7 -31/2 0 7 -29/2 0 7 -27/2 0 7 -25/2 0 7 -23/2 0 7 -21/2 0 7 -19/2 0 7 -17/2 0 7 -15/2 0 7 -13/2 0 7 -11/2 0 7 -9/2 0 7 -7/2 0 7 -5/2 0 7 -3/2 0 7 -1/2 0 7 1/2 0 7 3/2 0 7 5/2 0 7 7/2 0 7 9/2 0 7 11/2 0 7 13/2 0 7 15/2 0 7 17/2 0 7 19/2 0 7 21/2 0 7 23/2 0 7 25/2 0 7 27/2 0 7 29/2 0 7 31/2 0 7 33/2 0 7 35/2 0 7 37/2 0 7 39/2 0 7 41/2 0 7 43/2 0 7 45/2 0 7 47/2 0 7 49/2 0 7 -50/3 -16/1 1 14 0.059982 In 0.059766 0.060197 -49/3 0 14 -47/3 0 14 -46/3 -16/1 1 14 0.065241 In 0.064986 0.065496 -44/3 -14/1 1 14 0.068158 In 0.067880 0.068436 -43/3 0 14 -41/3 0 14 -40/3 -14/1 1 14 0.075032 In 0.074695 0.075369 -38/3 -12/1 1 14 0.078916 In 0.078543 0.079289 -37/3 0 14 -35/3 0 14 -34/3 -12/1 1 14 0.088279 In 0.087813 0.088746 -32/3 -10/1 1 14 0.093706 In 0.093180 0.094232 -31/3 0 14 -29/3 0 14 -28/3 -10/1 1 14 0.107209 In 0.106520 0.107897 -26/3 -8/1 1 14 0.115319 In 0.114523 0.116115 -25/3 0 14 -23/3 0 14 -22/3 -8/1 1 14 0.136472 In 0.135357 0.137587 -20/3 -6/1 1 14 0.149892 In 0.148547 0.151237 -19/3 0 14 -17/3 0 14 -16/3 -6/1 1 14 0.187711 In 0.185602 0.189821 -14/3 -4/1 1 14 0.214076 In 0.211333 0.216819 -13/3 0 14 -11/3 0 14 -10/3 -4/1 1 14 0.300578 In 0.295171 0.305985 -8/3 -2/1 1 14 0.374439 In 0.366050 0.382829 -7/3 0 14 -5/3 0 14 -4/3 -2/1 1 14 0.754545 In 0.720530 0.788561 -2/3 0/1 1 14 1.500000 In 1.366369 1.633631 -1/3 0 14 1/3 0 14 2/3 0/1 1 14 -1.500000 In -1.633631 -1.366369 4/3 2/1 1 14 -0.754545 In -0.788561 -0.720530 5/3 0 14 7/3 0 14 8/3 2/1 1 14 -0.374439 In 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-4/1 1 14 0.277876 In 0.276221 0.279532 -17/5 0 14 -16/5 -4/1 1 14 0.312780 In 0.308586 0.316975 -14/5 -2/1 1 14 0.356934 In 0.351472 0.362397 -13/5 0 14 -12/5 -2/1 1 14 0.416501 In 0.412782 0.420220 -11/5 0 14 -9/5 0 14 -8/5 -2/1 1 14 0.625561 In 0.617171 0.633950 -7/5 0 14 -6/5 -2/1 1 14 0.836000 In 0.806067 0.865933 -4/5 0/1 1 14 1.250000 In 1.183185 1.316815 -3/5 0 14 -2/5 0/1 1 14 2.500000 In 2.366369 2.633631 -1/5 0 14 1/5 0 14 2/5 0/1 1 14 -2.500000 In -2.633631 -2.366369 3/5 0 14 4/5 0/1 1 14 -1.250000 In -1.316815 -1.183185 6/5 2/1 1 14 -0.836000 In -0.865933 -0.806067 7/5 0 14 8/5 2/1 1 14 -0.625561 In -0.633950 -0.617171 9/5 0 14 11/5 0 14 12/5 2/1 1 14 -0.416501 In -0.420220 -0.412782 13/5 0 14 14/5 2/1 1 14 -0.356934 In -0.362397 -0.351472 16/5 4/1 1 14 -0.312780 In -0.316975 -0.308586 17/5 0 14 18/5 4/1 1 14 -0.277876 In -0.279532 -0.276221 19/5 0 14 21/5 0 14 22/5 4/1 1 14 -0.227219 In -0.228326 -0.226112 23/5 0 14 24/5 4/1 1 14 -0.208250 In -0.210110 -0.206391 26/5 6/1 1 14 -0.192406 In -0.193993 -0.190818 27/5 0 14 28/5 6/1 1 14 -0.178611 In -0.179295 -0.177927 29/5 0 14 31/5 0 14 32/5 6/1 1 14 -0.156224 In -0.156747 -0.155700 33/5 0 14 34/5 6/1 1 14 -0.147015 In -0.147942 -0.146088 36/5 8/1 1 14 -0.138938 In -0.139766 -0.138110 37/5 0 14 38/5 8/1 1 14 -0.131600 In -0.131971 -0.131228 39/5 0 14 41/5 0 14 42/5 8/1 1 14 -0.119032 In -0.119336 -0.118728 43/5 0 14 44/5 8/1 1 14 -0.113609 In -0.114163 -0.113056 46/5 10/1 1 14 -0.108725 In -0.109232 -0.108218 47/5 0 14 48/5 10/1 1 14 -0.104180 In -0.104412 -0.103947 49/5 0 14 -49/6 0 7 -47/6 0 7 -43/6 0 7 -41/6 0 7 -37/6 0 7 -35/6 0 7 -31/6 0 7 -29/6 0 7 -25/6 0 7 -23/6 0 7 -19/6 0 7 -17/6 0 7 -13/6 0 7 -11/6 0 7 -7/6 0 7 -5/6 0 7 -1/6 0 7 1/6 0 7 5/6 0 7 7/6 0 7 11/6 0 7 13/6 0 7 17/6 0 7 19/6 0 7 23/6 0 7 25/6 0 7 29/6 0 7 31/6 0 7 35/6 0 7 37/6 0 7 41/6 0 7 43/6 0 7 47/6 0 7 49/6 0 7 -50/7 -8/1 1 2 0.140194 In 0.138475 0.141914 -48/7 -6/1 1 2 0.145669 In 0.143813 0.147525 -47/7 0 2 -46/7 -6/1 1 2 0.152050 In 0.150701 0.153398 -45/7 0 2 -44/7 -6/1 1 2 0.159020 In 0.158282 0.159757 -43/7 0 2 -41/7 0 2 -40/7 -6/1 1 2 0.175095 In 0.174201 0.175989 -39/7 0 2 -38/7 -6/1 1 2 0.184432 In 0.182449 0.186415 -37/7 0 2 -36/7 -6/1 1 2 0.194836 In 0.191516 0.198155 -34/7 -4/1 1 2 0.205575 In 0.201879 0.209271 -33/7 0 2 -32/7 -4/1 1 2 0.218504 In 0.215720 0.221288 -31/7 0 2 -30/7 -4/1 1 2 0.233184 In 0.231598 0.234769 -29/7 0 2 -27/7 0 2 -26/7 -4/1 1 2 0.269461 In 0.267344 0.271578 -25/7 0 2 -24/7 -4/1 1 2 0.292254 In 0.287274 0.297233 -23/7 0 2 -22/7 -4/1 1 2 0.319328 In 0.310415 0.328241 -20/7 -2/1 1 2 0.349246 In 0.338586 0.359906 -19/7 0 2 -18/7 -2/1 1 2 0.388199 In 0.379415 0.396983 -17/7 0 2 -16/7 -2/1 1 2 0.437008 In 0.431440 0.442576 -15/7 0 2 -13/7 0 2 -12/7 -2/1 1 2 0.584507 In 0.574548 0.594466 -11/7 0 2 -10/7 -2/1 1 2 0.704082 In 0.675220 0.732943 -9/7 0 2 -8/7 -2/1 1 2 0.887097 In 0.818667 0.955526 -6/7 0/1 1 2 1.166667 In 1.048816 1.284518 -5/7 0 2 -4/7 0/1 1 2 1.750000 In 1.573223 1.926777 -3/7 0 2 -2/7 0/1 1 2 3.500000 In 3.146447 3.853553 -1/7 0 2 1/7 0 2 2/7 0/1 1 2 -3.500000 In -3.853553 -3.146447 3/7 0 2 4/7 0/1 1 2 -1.750000 In -1.926777 -1.573223 5/7 0 2 6/7 0/1 1 2 -1.166667 In -1.284518 -1.048816 8/7 2/1 1 2 -0.887097 In -0.955526 -0.818667 9/7 0 2 10/7 2/1 1 2 -0.704082 In -0.732943 -0.675220 11/7 0 2 12/7 2/1 1 2 -0.584507 In -0.594466 -0.574548 13/7 0 2 15/7 0 2 16/7 2/1 1 2 -0.437008 In -0.442576 -0.431440 17/7 0 2 18/7 2/1 1 2 -0.388199 In -0.396983 -0.379415 19/7 0 2 20/7 2/1 1 2 -0.349246 In -0.359906 -0.338586 22/7 4/1 1 2 -0.319328 In -0.328241 -0.310415 23/7 0 2 24/7 4/1 1 2 -0.292254 In -0.297233 -0.287274 25/7 0 2 26/7 4/1 1 2 -0.269461 In -0.271578 -0.267344 27/7 0 2 29/7 0 2 30/7 4/1 1 2 -0.233184 In -0.234769 -0.231598 31/7 0 2 32/7 4/1 1 2 -0.218504 In -0.221288 -0.215720 33/7 0 2 34/7 4/1 1 2 -0.205575 In -0.209271 -0.201879 36/7 6/1 1 2 -0.194836 In -0.198155 -0.191516 37/7 0 2 38/7 6/1 1 2 -0.184432 In -0.186415 -0.182449 39/7 0 2 40/7 6/1 1 2 -0.175095 In -0.175989 -0.174201 41/7 0 2 43/7 0 2 44/7 6/1 1 2 -0.159020 In -0.159757 -0.158282 45/7 0 2 46/7 6/1 1 2 -0.152050 In -0.153398 -0.150701 47/7 0 2 48/7 6/1 1 2 -0.145669 In -0.147525 -0.143813 50/7 8/1 1 2 -0.140194 In -0.141914 -0.138475 -49/8 0 7 -47/8 0 7 -45/8 0 7 -43/8 0 7 -41/8 0 7 -39/8 0 7 -37/8 0 7 -35/8 0 7 -33/8 0 7 -31/8 0 7 -29/8 0 7 -27/8 0 7 -25/8 0 7 -23/8 0 7 -21/8 0 7 -19/8 0 7 -17/8 0 7 -15/8 0 7 -13/8 0 7 -11/8 0 7 -9/8 0 7 -7/8 0 7 -5/8 0 7 -3/8 0 7 -1/8 0 7 1/8 0 7 3/8 0 7 5/8 0 7 7/8 0 7 9/8 0 7 11/8 0 7 13/8 0 7 15/8 0 7 17/8 0 7 19/8 0 7 21/8 0 7 23/8 0 7 25/8 0 7 27/8 0 7 29/8 0 7 31/8 0 7 33/8 0 7 35/8 0 7 37/8 0 7 39/8 0 7 41/8 0 7 43/8 0 7 45/8 0 7 47/8 0 7 49/8 0 7 -50/9 -6/1 1 14 0.180014 In 0.179586 0.180442 -49/9 0 14 -47/9 0 14 -46/9 -16/3 1 14 0.195723 In 0.194959 0.196488 -44/9 -14/3 1 14 0.204475 In 0.203640 0.205309 -43/9 0 14 -41/9 0 14 -40/9 -4/1 1 14 0.224982 In 0.224313 0.225651 -38/9 -2/1 1 14 0.236790 In 0.233088 0.240492 -37/9 0 14 -35/9 0 14 -34/9 -6/1 1 14 0.264924 In 0.260290 0.269559 -32/9 -4/1 1 14 0.281285 In 0.280240 0.282330 -31/9 0 14 -29/9 0 14 -28/9 -10/3 1 14 0.321626 In 0.319561 0.323690 -26/9 -8/3 1 14 0.345957 In 0.343569 0.348346 -25/9 0 14 -23/9 0 14 -22/9 -2/1 1 14 0.409037 In 0.406827 0.411247 -20/9 0/1 1 14 0.450000 In 0.436637 0.463363 -19/9 0 14 -17/9 0 14 -16/9 -4/1 1 14 0.563901 In 0.542928 0.584875 -14/9 -2/1 1 14 0.643066 In 0.637603 0.648528 -13/9 0 14 -11/9 0 14 -10/9 -4/3 1 14 0.901734 In 0.885513 0.917955 -8/9 -2/3 1 14 1.123318 In 1.098150 1.148486 -7/9 0 14 -5/9 0 14 -4/9 0/1 1 14 2.250000 In 2.183185 2.316815 -2/9 2/1 1 14 4.884615 In 3.445516 6.323714 -1/9 0 14 1/9 0 14 2/9 -2/1 1 14 -4.884615 In -6.323714 -3.445516 4/9 0/1 1 14 -2.250000 In -2.316815 -2.183185 5/9 0 14 7/9 0 14 8/9 2/3 1 14 -1.123318 In -1.148486 -1.098150 10/9 4/3 1 14 -0.901734 In -0.917955 -0.885513 11/9 0 14 13/9 0 14 14/9 2/1 1 14 -0.643066 In -0.648528 -0.637603 16/9 4/1 1 14 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