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 34 -49/1 -49/1 1 34 -48/1 -48/1 1 34 -47/1 -47/1 1 34 -46/1 -46/1 1 34 -45/1 -45/1 1 34 -44/1 -44/1 1 34 -43/1 -43/1 1 34 -42/1 -42/1 1 34 -41/1 -41/1 1 34 -40/1 -40/1 1 34 -39/1 -39/1 1 34 -38/1 -38/1 1 34 -37/1 -37/1 1 34 -36/1 -36/1 1 34 -35/1 -35/1 1 34 -34/1 -34/1 1 34 -33/1 -33/1 1 34 -32/1 -32/1 1 34 -31/1 -31/1 1 34 -30/1 -30/1 1 34 -29/1 -29/1 1 34 -28/1 -28/1 1 34 -27/1 -27/1 1 34 -26/1 -26/1 1 34 -25/1 -25/1 1 34 -24/1 -24/1 1 34 -23/1 -23/1 1 34 -22/1 -22/1 1 34 -21/1 -21/1 1 34 -20/1 -20/1 1 34 -19/1 -19/1 1 34 -18/1 -18/1 1 34 -17/1 -17/1 1 34 -16/1 -16/1 1 34 -15/1 -15/1 1 34 -14/1 -14/1 1 34 -13/1 -13/1 1 34 -12/1 -12/1 1 34 -11/1 -11/1 1 34 -10/1 -10/1 1 34 -9/1 -9/1 1 34 -8/1 -8/1 1 34 -7/1 -7/1 1 34 -6/1 -6/1 1 34 -5/1 -5/1 1 34 -4/1 -4/1 1 34 -3/1 -3/1 1 34 -2/1 -2/1 1 34 -1/1 -1/1 1 34 0/1 0/1 1 34 1/1 1/1 1 34 2/1 2/1 1 34 3/1 3/1 1 34 4/1 4/1 1 34 5/1 5/1 1 34 6/1 6/1 1 34 7/1 7/1 1 34 8/1 8/1 1 34 9/1 9/1 1 34 10/1 10/1 1 34 11/1 11/1 1 34 12/1 12/1 1 34 13/1 13/1 1 34 14/1 14/1 1 34 15/1 15/1 1 34 16/1 16/1 1 34 17/1 17/1 1 34 18/1 18/1 1 34 19/1 19/1 1 34 20/1 20/1 1 34 21/1 21/1 1 34 22/1 22/1 1 34 23/1 23/1 1 34 24/1 24/1 1 34 25/1 25/1 1 34 26/1 26/1 1 34 27/1 27/1 1 34 28/1 28/1 1 34 29/1 29/1 1 34 30/1 30/1 1 34 31/1 31/1 1 34 32/1 32/1 1 34 33/1 33/1 1 34 34/1 34/1 1 34 35/1 35/1 1 34 36/1 36/1 1 34 37/1 37/1 1 34 38/1 38/1 1 34 39/1 39/1 1 34 40/1 40/1 1 34 41/1 41/1 1 34 42/1 42/1 1 34 43/1 43/1 1 34 44/1 44/1 1 34 45/1 45/1 1 34 46/1 46/1 1 34 47/1 47/1 1 34 48/1 48/1 1 34 49/1 49/1 1 34 50/1 50/1 1 34 -49/2 0 17 -47/2 0 17 -45/2 0 17 -43/2 0 17 -41/2 0 17 -39/2 0 17 -37/2 0 17 -35/2 0 17 -33/2 0 17 -31/2 0 17 -29/2 0 17 -27/2 0 17 -25/2 0 17 -23/2 0 17 -21/2 0 17 -19/2 0 17 -17/2 0 17 -15/2 0 17 -13/2 0 17 -11/2 0 17 -9/2 0 17 -7/2 0 17 -5/2 0 17 -3/2 0 17 -1/2 0 17 1/2 0 17 3/2 0 17 5/2 0 17 7/2 0 17 9/2 0 17 11/2 0 17 13/2 0 17 15/2 0 17 17/2 0 17 19/2 0 17 21/2 0 17 23/2 0 17 25/2 0 17 27/2 0 17 29/2 0 17 31/2 0 17 33/2 0 17 35/2 0 17 37/2 0 17 39/2 0 17 41/2 0 17 43/2 0 17 45/2 0 17 47/2 0 17 49/2 0 17 -50/3 -16/1 1 34 0.059992 In 0.059855 0.060130 -49/3 -17/1 1 34 0.061233 In 0.061090 0.061376 -47/3 -15/1 1 34 0.063821 In 0.063666 0.063977 -46/3 -16/1 1 34 0.065227 In 0.065064 0.065390 -44/3 -14/1 1 34 0.068172 In 0.067994 0.068350 -43/3 -15/1 1 34 0.069779 In 0.069592 0.069965 -41/3 -13/1 1 34 0.073160 In 0.072955 0.073364 -40/3 -14/1 1 34 0.075013 In 0.074798 0.075228 -38/3 -12/1 1 34 0.078934 In 0.078696 0.079173 -37/3 -13/1 1 34 0.081096 In 0.080845 0.081348 -35/3 -11/1 1 34 0.085699 In 0.085418 0.085980 -34/3 -12/1 1 34 0.088253 In 0.087956 0.088551 -32/3 -10/1 1 34 0.093732 In 0.093396 0.094068 -31/3 -11/1 1 34 0.096796 In 0.096438 0.097154 -29/3 -9/1 1 34 0.103427 In 0.103018 0.103836 -28/3 -10/1 1 34 0.107170 In 0.106731 0.107609 -26/3 -8/1 1 34 0.115358 In 0.114849 0.115867 -25/3 -9/1 1 34 0.120034 In 0.119483 0.120585 -23/3 -7/1 1 34 0.130401 In 0.129751 0.131051 -22/3 -8/1 1 34 0.136408 In 0.135697 0.137119 -20/3 -6/1 1 34 0.149956 In 0.149096 0.150816 -19/3 -7/1 1 34 0.157955 In 0.157001 0.158909 -17/3 -5/1 1 34 0.176411 In 0.175221 0.177600 -16/3 -6/1 1 34 0.187587 In 0.186241 0.188932 -14/3 -4/1 1 34 0.214200 In 0.212446 0.215954 -13/3 -5/1 1 34 0.230904 In 0.228865 0.232942 -11/3 -3/1 1 34 0.272594 In 0.269753 0.275435 -10/3 -4/1 1 34 0.300236 In 0.296790 0.303683 -8/3 -2/1 1 34 0.374770 In 0.369401 0.380139 -7/3 -3/1 1 34 0.429089 In 0.422051 0.436127 -5/3 -1/1 1 34 0.599529 In 0.585793 0.613265 -4/3 -2/1 1 34 0.751852 In 0.730256 0.773448 -2/3 0/1 1 34 1.500000 In 1.414251 1.585749 -1/3 -1/1 1 34 3.060606 In 2.707215 3.413997 1/3 1/1 1 34 -3.060606 In -3.413997 -2.707215 2/3 0/1 1 34 -1.500000 In -1.585749 -1.414251 4/3 2/1 1 34 -0.751852 In -0.773448 -0.730256 5/3 1/1 1 34 -0.599529 In -0.613265 -0.585793 7/3 3/1 1 34 -0.429089 In -0.436127 -0.422051 8/3 2/1 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-0.075013 In -0.075228 -0.074798 41/3 13/1 1 34 -0.073160 In -0.073364 -0.072955 43/3 15/1 1 34 -0.069779 In -0.069965 -0.069592 44/3 14/1 1 34 -0.068172 In -0.068350 -0.067994 46/3 16/1 1 34 -0.065227 In -0.065390 -0.065064 47/3 15/1 1 34 -0.063821 In -0.063977 -0.063666 49/3 17/1 1 34 -0.061233 In -0.061376 -0.061090 50/3 16/1 1 34 -0.059992 In -0.060130 -0.059855 -49/4 -25/2 1 17 0.081658 In 0.081453 0.081863 -47/4 -23/2 1 17 0.085080 In 0.084857 0.085303 -45/4 -23/2 1 17 0.088919 In 0.088676 0.089162 -43/4 -21/2 1 17 0.092992 In 0.092726 0.093258 -41/4 -21/2 1 17 0.097597 In 0.097304 0.097890 -39/4 -19/2 1 17 0.102526 In 0.102202 0.102849 -37/4 -19/2 1 17 0.108153 In 0.107793 0.108513 -35/4 -17/2 1 17 0.114238 In 0.113837 0.114640 -33/4 -17/2 1 17 0.121269 In 0.120816 0.121721 -31/4 -15/2 1 17 0.128972 In 0.128460 0.129484 -29/4 -15/2 1 17 0.138005 In 0.137419 0.138591 -27/4 -13/2 1 17 0.148069 In 0.147395 0.148744 -25/4 -13/2 1 17 0.160099 In 0.159311 0.160888 -23/4 -11/2 1 17 0.173805 In 0.172876 0.174735 -21/4 -11/2 1 17 0.190618 In 0.189500 0.191736 -19/4 -9/2 1 17 0.210370 In 0.209008 0.211732 -17/4 -9/2 1 17 0.235513 In 0.233807 0.237220 -15/4 -7/2 1 17 0.266419 In 0.264236 0.268603 -13/4 -7/2 1 17 0.308074 In 0.305154 0.310994 -11/4 -5/2 1 17 0.363189 In 0.359131 0.367247 -9/4 -5/2 1 17 0.445266 In 0.439167 0.451366 -7/4 -3/2 1 17 0.570388 In 0.560381 0.580396 -5/4 -3/2 1 17 0.802885 In 0.783062 0.822707 -3/4 -1/2 1 17 1.328947 In 1.274696 1.383199 -1/4 -1/2 1 17 4.125000 In 3.609612 4.640388 1/4 1/2 1 17 -4.125000 In -4.640388 -3.609612 3/4 1/2 1 17 -1.328947 In -1.383199 -1.274696 5/4 3/2 1 17 -0.802885 In -0.822707 -0.783062 7/4 3/2 1 17 -0.570388 In -0.580396 -0.560381 9/4 5/2 1 17 -0.445266 In -0.451366 -0.439167 11/4 5/2 1 17 -0.363189 In -0.367247 -0.359131 13/4 7/2 1 17 -0.308074 In -0.310994 -0.305154 15/4 7/2 1 17 -0.266419 In -0.268603 -0.264236 17/4 9/2 1 17 -0.235513 In -0.237220 -0.233807 19/4 9/2 1 17 -0.210370 In -0.211732 -0.209008 21/4 11/2 1 17 -0.190618 In -0.191736 -0.189500 23/4 11/2 1 17 -0.173805 In -0.174735 -0.172876 25/4 13/2 1 17 -0.160099 In -0.160888 -0.159311 27/4 13/2 1 17 -0.148069 In -0.148744 -0.147395 29/4 15/2 1 17 -0.138005 In -0.138591 -0.137419 31/4 15/2 1 17 -0.128972 In -0.129484 -0.128460 33/4 17/2 1 17 -0.121269 In -0.121721 -0.120816 35/4 17/2 1 17 -0.114238 In -0.114640 -0.113837 37/4 19/2 1 17 -0.108153 In -0.108513 -0.107793 39/4 19/2 1 17 -0.102526 In -0.102849 -0.102202 41/4 21/2 1 17 -0.097597 In -0.097890 -0.097304 43/4 21/2 1 17 -0.092992 In -0.093258 -0.092726 45/4 23/2 1 17 -0.088919 In -0.089162 -0.088676 47/4 23/2 1 17 -0.085080 In -0.085303 -0.084857 49/4 25/2 1 17 -0.081658 In -0.081863 -0.081453 -49/5 -9/1 1 34 0.102032 In 0.101746 0.102318 -48/5 -10/1 1 34 0.104172 In 0.104023 0.104321 -47/5 -9/1 1 34 0.106378 In 0.106222 0.106533 -46/5 -10/1 1 34 0.108708 In 0.108383 0.109032 -44/5 -8/1 1 34 0.113625 In 0.113271 0.113980 -43/5 -9/1 1 34 0.116286 In 0.116100 0.116471 -42/5 -8/1 1 34 0.119041 In 0.118847 0.119236 -41/5 -9/1 1 34 0.121967 In 0.121558 0.122375 -39/5 -7/1 1 34 0.128191 In 0.127740 0.128643 -38/5 -8/1 1 34 0.131588 In 0.131350 0.131825 -37/5 -7/1 1 34 0.135127 In 0.134876 0.135378 -36/5 -8/1 1 34 0.138909 In 0.138379 0.139439 -34/5 -6/1 1 34 0.147041 In 0.146447 0.147635 -33/5 -7/1 1 34 0.151527 In 0.151211 0.151842 -32/5 -6/1 1 34 0.156239 In 0.155904 0.156575 -31/5 -7/1 1 34 0.161318 In 0.160603 0.162033 -29/5 -5/1 1 34 0.172390 In 0.171573 0.173206 -28/5 -6/1 1 34 0.178588 In 0.178149 0.179026 -27/5 -5/1 1 34 0.185170 In 0.184699 0.185641 -26/5 -6/1 1 34 0.192348 In 0.191332 0.193364 -24/5 -4/1 1 34 0.208299 In 0.207107 0.209491 -23/5 -5/1 1 34 0.217416 In 0.216766 0.218065 -22/5 -4/1 1 34 0.227251 In 0.226541 0.227960 -21/5 -5/1 1 34 0.238159 In 0.236601 0.239717 -19/5 -3/1 1 34 0.263106 In 0.261205 0.265008 -18/5 -4/1 1 34 0.277818 In 0.276758 0.278878 -17/5 -3/1 1 34 0.294082 In 0.292894 0.295270 -16/5 -4/1 1 34 0.312615 In 0.309931 0.315300 -14/5 -2/1 1 34 0.357057 In 0.353555 0.360559 -13/5 -3/1 1 34 0.384696 In 0.382663 0.386729 -12/5 -2/1 1 34 0.416599 In 0.414215 0.418982 -11/5 -3/1 1 34 0.454811 In 0.449129 0.460493 -9/5 -1/1 1 34 0.555394 In 0.546922 0.563866 -8/5 -2/1 1 34 0.625230 In 0.619861 0.630599 -7/5 -1/1 1 34 0.714114 In 0.707110 0.721118 -6/5 -2/1 1 34 0.834426 In 0.815308 0.853544 -4/5 0/1 1 34 1.250000 In 1.207125 1.292875 -3/5 -1/1 1 34 1.668852 In 1.630617 1.707088 -2/5 0/1 1 34 2.500000 In 2.414251 2.585749 -1/5 -1/1 1 34 5.121212 In 4.414430 5.827994 1/5 1/1 1 34 -5.121212 In -5.827994 -4.414430 2/5 0/1 1 34 -2.500000 In -2.585749 -2.414251 3/5 1/1 1 34 -1.668852 In -1.707088 -1.630617 4/5 0/1 1 34 -1.250000 In -1.292875 -1.207125 6/5 2/1 1 34 -0.834426 In -0.853544 -0.815308 7/5 1/1 1 34 -0.714114 In -0.721118 -0.707110 8/5 2/1 1 34 -0.625230 In -0.630599 -0.619861 9/5 1/1 1 34 -0.555394 In -0.563866 -0.546922 11/5 3/1 1 34 -0.454811 In -0.460493 -0.449129 12/5 2/1 1 34 -0.416599 In -0.418982 -0.414215 13/5 3/1 1 34 -0.384696 In -0.386729 -0.382663 14/5 2/1 1 34 -0.357057 In -0.360559 -0.353555 16/5 4/1 1 34 -0.312615 In -0.315300 -0.309931 17/5 3/1 1 34 -0.294082 In -0.295270 -0.292894 18/5 4/1 1 34 -0.277818 In -0.278878 -0.276758 19/5 3/1 1 34 -0.263106 In -0.265008 -0.261205 21/5 5/1 1 34 -0.238159 In -0.239717 -0.236601 22/5 4/1 1 34 -0.227251 In -0.227960 -0.226541 23/5 5/1 1 34 -0.217416 In -0.218065 -0.216766 24/5 4/1 1 34 -0.208299 In -0.209491 -0.207107 26/5 6/1 1 34 -0.192348 In -0.193364 -0.191332 27/5 5/1 1 34 -0.185170 In -0.185641 -0.184699 28/5 6/1 1 34 -0.178588 In -0.179026 -0.178149 29/5 5/1 1 34 -0.172390 In -0.173206 -0.171573 31/5 7/1 1 34 -0.161318 In -0.162033 -0.160603 32/5 6/1 1 34 -0.156239 In -0.156575 -0.155904 33/5 7/1 1 34 -0.151527 In -0.151842 -0.151211 34/5 6/1 1 34 -0.147041 In -0.147635 -0.146447 36/5 8/1 1 34 -0.138909 In -0.139439 -0.138379 37/5 7/1 1 34 -0.135127 In -0.135378 -0.134876 38/5 8/1 1 34 -0.131588 In -0.131825 -0.131350 39/5 7/1 1 34 -0.128191 In -0.128643 -0.127740 41/5 9/1 1 34 -0.121967 In -0.122375 -0.121558 42/5 8/1 1 34 -0.119041 In -0.119236 -0.118847 43/5 9/1 1 34 -0.116286 In -0.116471 -0.116100 44/5 8/1 1 34 -0.113625 In -0.113980 -0.113271 46/5 10/1 1 34 -0.108708 In -0.109032 -0.108383 47/5 9/1 1 34 -0.106378 In -0.106533 -0.106222 48/5 10/1 1 34 -0.104172 In -0.104321 -0.104023 49/5 9/1 1 34 -0.102032 In -0.102318 -0.101746 -49/6 0 17 -47/6 0 17 -43/6 0 17 -41/6 0 17 -37/6 0 17 -35/6 0 17 -31/6 0 17 -29/6 0 17 -25/6 0 17 -23/6 0 17 -19/6 0 17 -17/6 0 17 -13/6 0 17 -11/6 0 17 -7/6 0 17 -5/6 0 17 -1/6 0 17 1/6 0 17 5/6 0 17 7/6 0 17 11/6 0 17 13/6 0 17 17/6 0 17 19/6 0 17 23/6 0 17 25/6 0 17 29/6 0 17 31/6 0 17 35/6 0 17 37/6 0 17 41/6 0 17 43/6 0 17 47/6 0 17 49/6 0 17 -50/7 -6/1 1 34 0.139989 In 0.139440 0.140538 -48/7 -8/1 1 34 0.145850 In 0.145254 0.146446 -47/7 -7/1 1 34 0.148940 In 0.148785 0.149096 -46/7 -8/1 1 34 0.152198 In 0.151387 0.153009 -45/7 -5/1 1 34 0.155539 In 0.154692 0.156387 -44/7 -6/1 1 34 0.159087 In 0.158909 0.159264 -43/7 -5/1 1 34 0.162776 In 0.162034 0.163518 -41/7 -7/1 1 34 0.170756 In 0.169939 0.171573 -40/7 -6/1 1 34 0.175006 In 0.174791 0.175220 -39/7 -7/1 1 34 0.179522 In 0.178393 0.180651 -38/7 -4/1 1 34 0.184189 In 0.183001 0.185377 -37/7 -5/1 1 34 0.189183 In 0.188933 0.189434 -36/7 -4/1 1 34 0.194424 In 0.193365 0.195483 -34/7 -6/1 1 34 0.205918 In 0.204730 0.207106 -33/7 -5/1 1 34 0.212129 In 0.211814 0.212445 -32/7 -6/1 1 34 0.218804 In 0.217127 0.220480 -31/7 -3/1 1 34 0.225777 In 0.223992 0.227562 -30/7 -4/1 1 34 0.233325 In 0.232943 0.233706 -29/7 -3/1 1 34 0.241350 In 0.239718 0.242982 -27/7 -5/1 1 34 0.259319 In 0.257435 0.261203 -26/7 -4/1 1 34 0.269244 In 0.268736 0.269752 -25/7 -5/1 1 34 0.280094 In 0.277347 0.282841 -24/7 -2/1 1 34 0.291624 In 0.288646 0.294602 -23/7 -3/1 1 34 0.304333 In 0.303685 0.304982 -22/7 -2/1 1 34 0.318138 In 0.315302 0.320973 -20/7 -4/1 1 34 0.350118 In 0.346684 0.353552 -19/7 -3/1 1 34 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