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 0 27 -49/1 -49/1 1 27 -48/1 0 27 -47/1 -47/1 1 27 -46/1 0 27 -45/1 -45/1 1 27 -44/1 0 27 -43/1 -43/1 1 27 -42/1 0 27 -41/1 -41/1 1 27 -40/1 0 27 -39/1 -39/1 1 27 -38/1 0 27 -37/1 -37/1 1 27 -36/1 0 27 -35/1 -35/1 1 27 -34/1 0 27 -33/1 -33/1 1 27 -32/1 0 27 -31/1 -31/1 1 27 -30/1 0 27 -29/1 -29/1 1 27 -28/1 0 27 -27/1 -27/1 1 27 -26/1 0 27 -25/1 -25/1 1 27 -24/1 0 27 -23/1 -23/1 1 27 -22/1 0 27 -21/1 -21/1 1 27 -20/1 0 27 -19/1 -19/1 1 27 -18/1 0 27 -17/1 -17/1 1 27 -16/1 0 27 -15/1 -15/1 1 27 -14/1 0 27 -13/1 -13/1 1 27 -12/1 0 27 -11/1 -11/1 1 27 -10/1 0 27 -9/1 -9/1 1 27 -8/1 0 27 -7/1 -7/1 1 27 -6/1 0 27 -5/1 -5/1 1 27 -4/1 0 27 -3/1 -3/1 1 27 -2/1 0 27 -1/1 -1/1 1 27 0/1 0 27 1/1 1/1 1 27 2/1 0 27 3/1 3/1 1 27 4/1 0 27 5/1 5/1 1 27 6/1 0 27 7/1 7/1 1 27 8/1 0 27 9/1 9/1 1 27 10/1 0 27 11/1 11/1 1 27 12/1 0 27 13/1 13/1 1 27 14/1 0 27 15/1 15/1 1 27 16/1 0 27 17/1 17/1 1 27 18/1 0 27 19/1 19/1 1 27 20/1 0 27 21/1 21/1 1 27 22/1 0 27 23/1 23/1 1 27 24/1 0 27 25/1 25/1 1 27 26/1 0 27 27/1 27/1 1 27 28/1 0 27 29/1 29/1 1 27 30/1 0 27 31/1 31/1 1 27 32/1 0 27 33/1 33/1 1 27 34/1 0 27 35/1 35/1 1 27 36/1 0 27 37/1 37/1 1 27 38/1 0 27 39/1 39/1 1 27 40/1 0 27 41/1 41/1 1 27 42/1 0 27 43/1 43/1 1 27 44/1 0 27 45/1 45/1 1 27 46/1 0 27 47/1 47/1 1 27 48/1 0 27 49/1 49/1 1 27 50/1 0 27 -49/2 -23/1 1 27 0.040794 In 0.040552 0.041037 -47/2 -25/1 1 27 0.042580 In 0.042316 0.042844 -45/2 -21/1 1 27 0.044419 In 0.044131 0.044706 -43/2 -23/1 1 27 0.046544 In 0.046229 0.046860 -41/2 -19/1 1 27 0.048750 In 0.048403 0.049096 -39/2 -21/1 1 27 0.051322 In 0.050938 0.051706 -37/2 -17/1 1 27 0.054016 In 0.053591 0.054442 -35/2 -19/1 1 27 0.057193 In 0.056716 0.057669 -33/2 -15/1 1 27 0.060559 In 0.060025 0.061094 -31/2 -17/1 1 27 0.064580 In 0.063973 0.065188 -29/2 -13/1 1 27 0.068906 In 0.068214 0.069598 -27/2 -15/1 1 27 0.074160 In 0.073359 0.074961 -25/2 -11/1 1 27 0.079921 In 0.078991 0.080852 -23/2 -13/1 1 27 0.087077 In 0.085972 0.088181 -21/2 -9/1 1 27 0.095129 In 0.093811 0.096448 -19/2 -11/1 1 27 0.105444 In 0.103824 0.107063 -17/2 -7/1 1 27 0.117488 In 0.115477 0.119498 -15/2 -9/1 1 27 0.133634 In 0.131033 0.136234 -13/2 -5/1 1 27 0.153592 In 0.150157 0.157027 -11/2 -7/1 1 27 0.182411 In 0.177567 0.187256 -9/2 -3/1 1 27 0.221763 In 0.214606 0.228920 -7/2 -5/1 1 27 0.287365 In 0.275356 0.299375 -5/2 -1/1 1 27 0.399110 In 0.375982 0.422238 -3/2 -3/1 1 27 0.679487 In 0.612870 0.746105 -1/2 1/1 1 27 2.115385 In 1.515829 2.714941 1/2 -1/1 1 27 -2.115385 In -2.714941 -1.515829 3/2 3/1 1 27 -0.679487 In -0.746105 -0.612870 5/2 1/1 1 27 -0.399110 In -0.422238 -0.375982 7/2 5/1 1 27 -0.287365 In -0.299375 -0.275356 9/2 3/1 1 27 -0.221763 In -0.228920 -0.214606 11/2 7/1 1 27 -0.182411 In -0.187256 -0.177567 13/2 5/1 1 27 -0.153592 In -0.157027 -0.150157 15/2 9/1 1 27 -0.133634 In -0.136234 -0.131033 17/2 7/1 1 27 -0.117488 In -0.119498 -0.115477 19/2 11/1 1 27 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-5/1 1 27 0.173867 In 0.172774 0.174961 -21/4 -17/3 1 27 0.190825 In 0.188588 0.193061 -19/4 -13/3 1 27 0.210169 In 0.207457 0.212882 -17/4 -5/1 1 27 0.235408 In 0.233403 0.237412 -15/4 -3/1 1 27 0.266568 In 0.263998 0.269138 -13/4 -11/3 1 27 0.308645 In 0.302796 0.314494 -11/4 -7/3 1 27 0.362648 In 0.354574 0.370721 -9/4 -3/1 1 27 0.444904 In 0.437746 0.452061 -7/4 -1/1 1 27 0.571104 In 0.559313 0.582896 -5/4 -5/3 1 27 0.807692 In 0.767722 0.847663 -3/4 -1/3 1 27 1.326446 In 1.219088 1.433805 -1/4 -1/1 1 27 4.115385 In 3.515829 4.714941 1/4 1/1 1 27 -4.115385 In -4.714941 -3.515829 3/4 1/3 1 27 -1.326446 In -1.433805 -1.219088 5/4 5/3 1 27 -0.807692 In -0.847663 -0.767722 7/4 1/1 1 27 -0.571104 In -0.582896 -0.559313 9/4 3/1 1 27 -0.444904 In -0.452061 -0.437746 11/4 7/3 1 27 -0.362648 In -0.370721 -0.354574 13/4 11/3 1 27 -0.308645 In -0.314494 -0.302796 15/4 3/1 1 27 -0.266568 In -0.269138 -0.263998 17/4 5/1 1 27 -0.235408 In -0.237412 -0.233403 19/4 13/3 1 27 -0.210169 In -0.212882 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-38/5 0 27 -37/5 -9/1 1 27 0.135188 In 0.134061 0.136315 -36/5 0 27 -34/5 0 27 -33/5 -5/1 1 27 0.151474 In 0.150059 0.152889 -32/5 0 27 -31/5 -5/1 1 27 0.161253 In 0.160050 0.162456 -29/5 -7/1 1 27 0.172478 In 0.171102 0.173854 -28/5 0 27 -27/5 -7/1 1 27 0.185291 In 0.183174 0.187408 -26/5 0 27 -24/5 0 27 -23/5 -3/1 1 27 0.217318 In 0.214406 0.220230 -22/5 0 27 -21/5 -3/1 1 27 0.238023 In 0.235403 0.240644 -19/5 -5/1 1 27 0.263320 In 0.260113 0.266527 -18/5 0 27 -17/5 -5/1 1 27 0.294420 In 0.289076 0.299765 -16/5 0 27 -14/5 0 27 -13/5 -1/1 1 27 0.384480 In 0.375368 0.393593 -12/5 0 27 -11/5 -1/1 1 27 0.454378 In 0.444833 0.463924 -9/5 -3/1 1 27 0.556474 In 0.542159 0.570788 -8/5 0 27 -7/5 -3/1 1 27 0.716895 In 0.685259 0.748531 -6/5 0 27 -4/5 0 27 -3/5 1/1 1 27 1.677686 In 1.505912 1.849460 -2/5 0 27 -1/5 1/1 1 27 5.230769 In 4.031657 6.429881 1/5 -1/1 1 27 -5.230769 In -6.429881 -4.031657 2/5 0 27 3/5 -1/1 1 27 -1.677686 In -1.849460 -1.505912 4/5 0 27 6/5 0 27 7/5 3/1 1 27 -0.716895 In -0.748531 -0.685259 8/5 0 27 9/5 3/1 1 27 -0.556474 In -0.570788 -0.542159 11/5 1/1 1 27 -0.454378 In -0.463924 -0.444833 12/5 0 27 13/5 1/1 1 27 -0.384480 In -0.393593 -0.375368 14/5 0 27 16/5 0 27 17/5 5/1 1 27 -0.294420 In -0.299765 -0.289076 18/5 0 27 19/5 5/1 1 27 -0.263320 In -0.266527 -0.260113 21/5 3/1 1 27 -0.238023 In -0.240644 -0.235403 22/5 0 27 23/5 3/1 1 27 -0.217318 In -0.220230 -0.214406 24/5 0 27 26/5 0 27 27/5 7/1 1 27 -0.185291 In -0.187408 -0.183174 28/5 0 27 29/5 7/1 1 27 -0.172478 In -0.173854 -0.171102 31/5 5/1 1 27 -0.161253 In -0.162456 -0.160050 32/5 0 27 33/5 5/1 1 27 -0.151474 In -0.152889 -0.150059 34/5 0 27 36/5 0 27 37/5 9/1 1 27 -0.135188 In -0.136315 -0.134061 38/5 0 27 39/5 9/1 1 27 -0.128239 In -0.129000 -0.127478 41/5 7/1 1 27 -0.121929 In -0.122616 -0.121241 42/5 0 27 43/5 7/1 1 27 -0.116253 In -0.117086 -0.115419 44/5 0 27 46/5 0 27 47/5 11/1 1 27 -0.106414 In -0.107113 -0.105716 48/5 0 27 49/5 11/1 1 27 -0.102062 In -0.102543 -0.101580 -49/6 0 9 -47/6 0 9 -43/6 0 9 -41/6 0 9 -37/6 0 9 -35/6 0 9 -31/6 0 9 -29/6 0 9 -25/6 0 9 -23/6 0 9 -19/6 0 9 -17/6 0 9 -13/6 0 9 -11/6 0 9 -7/6 0 9 -5/6 0 9 -1/6 0 9 1/6 0 9 5/6 0 9 7/6 0 9 11/6 0 9 13/6 0 9 17/6 0 9 19/6 0 9 23/6 0 9 25/6 0 9 29/6 0 9 31/6 0 9 35/6 0 9 37/6 0 9 41/6 0 9 43/6 0 9 47/6 0 9 49/6 0 9 -50/7 0 27 -48/7 0 27 -47/7 -7/1 1 27 0.148941 In 0.148767 0.149116 -46/7 0 27 -45/7 -7/1 1 27 0.155567 In 0.155186 0.155947 -44/7 0 27 -43/7 -7/1 1 27 0.162810 In 0.162185 0.163435 -41/7 -5/1 1 27 0.170716 In 0.170028 0.171403 -40/7 0 27 -39/7 -5/1 1 27 0.179475 In 0.178968 0.179981 -38/7 0 27 -37/7 -5/1 1 27 0.189182 In 0.188901 0.189463 -36/7 0 27 -34/7 0 27 -33/7 -5/1 1 27 0.212132 In 0.211778 0.212485 -32/7 0 27 -31/7 -5/1 1 27 0.225831 In 0.225030 0.226633 -30/7 0 27 -29/7 -5/1 1 27 0.241425 In 0.240050 0.242799 -27/7 -3/1 1 27 0.259225 In 0.257641 0.260810 -26/7 0 27 -25/7 -3/1 1 27 0.279972 In 0.278739 0.281204 -24/7 0 27 -23/7 -3/1 1 27 0.304330 In 0.303601 0.305058 -22/7 0 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