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 -25/1 1 27 0.040824 In 0.040743 0.040905 -47/2 -23/1 1 27 0.042545 In 0.042457 0.042633 -45/2 -23/1 1 27 0.044454 In 0.044358 0.044550 -43/2 -21/1 1 27 0.046502 In 0.046397 0.046607 -41/2 -21/1 1 27 0.048792 In 0.048676 0.048907 -39/2 -19/1 1 27 0.051270 In 0.051142 0.051398 -37/2 -19/1 1 27 0.054068 In 0.053926 0.054210 -35/2 -17/1 1 27 0.057128 In 0.056970 0.057287 -33/2 -17/1 1 27 0.060624 In 0.060445 0.060802 -31/2 -15/1 1 27 0.064497 In 0.064295 0.064699 -29/2 -15/1 1 27 0.068989 In 0.068757 0.069220 -27/2 -13/1 1 27 0.074049 In 0.073783 0.074316 -25/2 -13/1 1 27 0.080031 In 0.079720 0.080342 -23/2 -11/1 1 27 0.086923 In 0.086556 0.087290 -21/2 -11/1 1 27 0.095283 In 0.094842 0.095723 -19/2 -9/1 1 27 0.105214 In 0.104677 0.105752 -17/2 -9/1 1 27 0.117716 In 0.117043 0.118389 -15/2 -7/1 1 27 0.133256 In 0.132394 0.134118 -13/2 -7/1 1 27 0.153965 In 0.152814 0.155117 -11/2 -5/1 1 27 0.181678 In 0.180075 0.183281 -9/2 -5/1 1 27 0.222479 In 0.220076 0.224883 -7/2 -3/1 1 27 0.285388 In 0.281434 0.289343 -5/2 -3/1 1 27 0.400901 In 0.393099 0.408703 -3/2 -1/1 1 27 0.665289 In 0.643818 0.686761 -1/2 -1/1 1 27 2.038462 In 1.838610 2.238314 1/2 1/1 1 27 -2.038462 In -2.238314 -1.838610 3/2 1/1 1 27 -0.665289 In -0.686761 -0.643818 5/2 3/1 1 27 -0.400901 In -0.408703 -0.393099 7/2 3/1 1 27 -0.285388 In -0.289343 -0.281434 9/2 5/1 1 27 -0.222479 In -0.224883 -0.220076 11/2 5/1 1 27 -0.181678 In -0.183281 -0.180075 13/2 7/1 1 27 -0.153965 In -0.155117 -0.152814 15/2 7/1 1 27 -0.133256 In -0.134118 -0.132394 17/2 9/1 1 27 -0.117716 In -0.118389 -0.117043 19/2 9/1 1 27 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1 27 0.173867 In 0.172774 0.174961 -21/4 -5/1 1 27 0.190456 In 0.190019 0.190893 -19/4 -5/1 1 27 0.210553 In 0.210019 0.211088 -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 -3/1 1 27 0.307642 In 0.306501 0.308783 -11/4 -3/1 1 27 0.363720 In 0.362125 0.365315 -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 -1/1 1 27 0.799703 In 0.791994 0.807413 -3/4 -1/1 1 27 1.334711 In 1.313239 1.356182 -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 1/1 1 27 -1.334711 In -1.356182 -1.313239 5/4 1/1 1 27 -0.799703 In -0.807413 -0.791994 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 3/1 1 27 -0.363720 In -0.365315 -0.362125 13/4 3/1 1 27 -0.307642 In -0.308783 -0.306501 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 5/1 1 27 -0.210553 In -0.211088 -0.210019 21/4 5/1 1 27 -0.190456 In -0.190893 -0.190019 23/4 5/1 1 27 -0.173867 In -0.174961 -0.172774 25/4 7/1 1 27 -0.160050 In -0.160976 -0.159123 27/4 7/1 1 27 -0.148161 In -0.148426 -0.147897 29/4 7/1 1 27 -0.137920 In -0.138150 -0.137691 31/4 7/1 1 27 -0.129006 In -0.129608 -0.128404 33/4 9/1 1 27 -0.121240 In -0.121772 -0.120708 35/4 9/1 1 27 -0.114294 In -0.114451 -0.114136 37/4 9/1 1 27 -0.108102 In -0.108242 -0.107961 39/4 9/1 1 27 -0.102547 In -0.102928 -0.102167 41/4 11/1 1 27 -0.097579 In -0.097923 -0.097234 43/4 11/1 1 27 -0.093028 In -0.093133 -0.092924 45/4 11/1 1 27 -0.088884 In -0.088980 -0.088789 47/4 11/1 1 27 -0.085095 In -0.085356 -0.084833 49/4 13/1 1 27 -0.081645 In -0.081886 -0.081404 -49/5 -11/1 1 27 0.102062 In 0.101580 0.102543 -48/5 0 27 -47/5 -11/1 1 27 0.106414 In 0.105716 0.107113 -46/5 0 27 -44/5 0 27 -43/5 -7/1 1 27 0.116253 In 0.115419 0.117086 -42/5 0 27 -41/5 -7/1 1 27 0.121929 In 0.121241 0.122616 -39/5 -9/1 1 27 0.128239 In 0.127478 0.129000 -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 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27 -20/7 0 27 -19/7 -3/1 1 27 0.368453 In 0.367386 0.369521 -18/7 0 27 -17/7 -3/1 1 27 0.411855 In 0.409189 0.414522 -16/7 0 27 -15/7 -3/1 1 27 0.466864 In 0.461725 0.472004 -13/7 -1/1 1 27 0.538360 In 0.531526 0.545194 -12/7 0 27 -11/7 -1/1 1 27 0.636252 In 0.629888 0.642616 -10/7 0 27 -9/7 -1/1 1 27 0.777676 In 0.772922 0.782430 -8/7 0 27 -6/7 0 27 -5/7 -1/1 1 27 1.400593 In 1.385175 1.416012 -4/7 0 27 -3/7 -1/1 1 27 2.338843 In 2.252956 2.424730 -2/7 0 27 -1/7 -1/1 1 27 7.230769 In 6.031657 8.429881 1/7 1/1 1 27 -7.230769 In -8.429881 -6.031657 2/7 0 27 3/7 1/1 1 27 -2.338843 In -2.424730 -2.252956 4/7 0 27 5/7 1/1 1 27 -1.400593 In -1.416012 -1.385175 6/7 0 27 8/7 0 27 9/7 1/1 1 27 -0.777676 In -0.782430 -0.772922 10/7 0 27 11/7 1/1 1 27 -0.636252 In -0.642616 -0.629888 12/7 0 27 13/7 1/1 1 27 -0.538360 In -0.545194 -0.531526 15/7 3/1 1 27 -0.466864 In -0.472004 -0.461725 16/7 0 27 17/7 3/1 1 27 -0.411855 In -0.414522 -0.409189 18/7 0 27 19/7 3/1 1 27 -0.368453 In -0.369521 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