SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 1 -50/1 0/1 1 10 0.020000 In 0.013675 0.026325 -49/1 1/0 1 10 0.020409 In 0.020277 0.020541 -48/1 0/1 1 10 0.020833 In 0.014245 0.027421 -47/1 1/0 1 10 0.021278 In 0.021134 0.021421 -46/1 0/1 1 10 0.021739 In 0.014865 0.028614 -45/1 1/0 1 10 0.022223 In 0.022067 0.022379 -44/1 0/1 1 10 0.022727 In 0.015540 0.029914 -43/1 1/0 1 10 0.023257 In 0.023086 0.023428 -42/1 0/1 1 10 0.023810 In 0.016280 0.031339 -41/1 1/0 1 10 0.024392 In 0.024204 0.024580 -40/1 0/1 1 10 0.025000 In 0.017094 0.032906 -39/1 1/0 1 10 0.025643 In 0.025435 0.025851 -38/1 0/1 1 10 0.026316 In 0.017994 0.034638 -37/1 1/0 1 10 0.027029 In 0.026798 0.027260 -36/1 0/1 1 10 0.027778 In 0.018994 0.036562 -35/1 1/0 1 10 0.028574 In 0.028316 0.028832 -34/1 0/1 1 10 0.029412 In 0.020111 0.038713 -33/1 1/0 1 10 0.030306 In 0.030015 0.030596 -32/1 0/1 1 10 0.031250 In 0.021368 0.041132 -31/1 1/0 1 10 0.032261 In 0.031932 0.032591 -30/1 0/1 1 10 0.033333 In 0.022792 0.043874 -29/1 1/0 1 10 0.034487 In 0.034111 0.034863 -28/1 0/1 1 10 0.035714 In 0.024420 0.047008 -27/1 1/0 1 10 0.037042 In 0.036608 0.037476 -26/1 0/1 1 10 0.038462 In 0.026299 0.050624 -25/1 1/0 1 10 0.040006 In 0.039500 0.040512 -24/1 0/1 1 10 0.041667 In 0.028491 0.054843 -23/1 1/0 1 10 0.043486 In 0.042889 0.044084 -22/1 0/1 1 10 0.045455 In 0.031081 0.059829 -21/1 1/0 1 10 0.047630 In 0.046913 0.048347 -20/1 0/1 1 10 0.050000 In 0.034189 0.065811 -19/1 1/0 1 10 0.052646 In 0.051770 0.053522 -18/1 0/1 1 10 0.055556 In 0.037987 0.073124 -17/1 1/0 1 10 0.058844 In 0.057749 0.059938 -16/1 0/1 1 10 0.062500 In 0.042736 0.082264 -15/1 1/0 1 10 0.066696 In 0.065290 0.068102 -14/1 0/1 1 10 0.071429 In 0.048841 0.094016 -13/1 1/0 1 10 0.076969 In 0.075096 0.078841 -12/1 0/1 1 10 0.083333 In 0.056981 0.109686 -11/1 1/0 1 10 0.090984 In 0.088369 0.093600 -10/1 0/1 1 10 0.100000 In 0.068377 0.131623 -9/1 1/0 1 10 0.111248 In 0.107340 0.115157 -8/1 0/1 1 10 0.125000 In 0.085472 0.164528 -7/1 1/0 1 10 0.143149 In 0.136682 0.149616 -6/1 0/1 1 10 0.166667 In 0.113962 0.219371 -5/1 1/0 1 10 0.200803 In 0.188103 0.213503 -4/1 0/1 1 10 0.250000 In 0.170943 0.329057 -3/1 1/0 1 10 0.337079 In 0.301547 0.372610 -2/1 0/1 1 10 0.500000 In 0.341886 0.658114 -1/1 1/0 1 10 1.111111 In 0.759747 1.462475 0/1 0/1 1 10 1/1 1/0 1 10 -1.111111 In -1.462475 -0.759747 2/1 0/1 1 10 -0.500000 In -0.658114 -0.341886 3/1 1/0 1 10 -0.337079 In -0.372610 -0.301547 4/1 0/1 1 10 -0.250000 In -0.329057 -0.170943 5/1 1/0 1 10 -0.200803 In -0.213503 -0.188103 6/1 0/1 1 10 -0.166667 In -0.219371 -0.113962 7/1 1/0 1 10 -0.143149 In -0.149616 -0.136682 8/1 0/1 1 10 -0.125000 In -0.164528 -0.085472 9/1 1/0 1 10 -0.111248 In -0.115157 -0.107340 10/1 0/1 1 10 -0.100000 In -0.131623 -0.068377 11/1 1/0 1 10 -0.090984 In -0.093600 -0.088369 12/1 0/1 1 10 -0.083333 In -0.109686 -0.056981 13/1 1/0 1 10 -0.076969 In -0.078841 -0.075096 14/1 0/1 1 10 -0.071429 In -0.094016 -0.048841 15/1 1/0 1 10 -0.066696 In -0.068102 -0.065290 16/1 0/1 1 10 -0.062500 In -0.082264 -0.042736 17/1 1/0 1 10 -0.058844 In -0.059938 -0.057749 18/1 0/1 1 10 -0.055556 In -0.073124 -0.037987 19/1 1/0 1 10 -0.052646 In -0.053522 -0.051770 20/1 0/1 1 10 -0.050000 In -0.065811 -0.034189 21/1 1/0 1 10 -0.047630 In -0.048347 -0.046913 22/1 0/1 1 10 -0.045455 In -0.059829 -0.031081 23/1 1/0 1 10 -0.043486 In -0.044084 -0.042889 24/1 0/1 1 10 -0.041667 In -0.054843 -0.028491 25/1 1/0 1 10 -0.040006 In -0.040512 -0.039500 26/1 0/1 1 10 -0.038462 In -0.050624 -0.026299 27/1 1/0 1 10 -0.037042 In -0.037476 -0.036608 28/1 0/1 1 10 -0.035714 In -0.047008 -0.024420 29/1 1/0 1 10 -0.034487 In -0.034863 -0.034111 30/1 0/1 1 10 -0.033333 In -0.043874 -0.022792 31/1 1/0 1 10 -0.032261 In -0.032591 -0.031932 32/1 0/1 1 10 -0.031250 In -0.041132 -0.021368 33/1 1/0 1 10 -0.030306 In -0.030596 -0.030015 34/1 0/1 1 10 -0.029412 In -0.038713 -0.020111 35/1 1/0 1 10 -0.028574 In -0.028832 -0.028316 36/1 0/1 1 10 -0.027778 In -0.036562 -0.018994 37/1 1/0 1 10 -0.027029 In -0.027260 -0.026798 38/1 0/1 1 10 -0.026316 In -0.034638 -0.017994 39/1 1/0 1 10 -0.025643 In -0.025851 -0.025435 40/1 0/1 1 10 -0.025000 In -0.032906 -0.017094 41/1 1/0 1 10 -0.024392 In -0.024580 -0.024204 42/1 0/1 1 10 -0.023810 In -0.031339 -0.016280 43/1 1/0 1 10 -0.023257 In -0.023428 -0.023086 44/1 0/1 1 10 -0.022727 In -0.029914 -0.015540 45/1 1/0 1 10 -0.022223 In -0.022379 -0.022067 46/1 0/1 1 10 -0.021739 In -0.028614 -0.014865 47/1 1/0 1 10 -0.021278 In -0.021421 -0.021134 48/1 0/1 1 10 -0.020833 In -0.027421 -0.014245 49/1 1/0 1 10 -0.020409 In -0.020541 -0.020277 50/1 0/1 1 10 -0.020000 In -0.026325 -0.013675 -49/2 -1/1 1 5 0.040736 In 0.031981 0.049491 -47/2 1/1 1 5 0.042648 In 0.032727 0.052569 -45/2 -1/1 1 5 0.044350 In 0.034853 0.053847 -43/2 1/1 1 5 0.046625 In 0.035740 0.057510 -41/2 -1/1 1 5 0.048667 In 0.038290 0.059044 -39/2 1/1 1 5 0.051420 In 0.039364 0.063477 -37/2 -1/1 1 5 0.053916 In 0.042481 0.065351 -35/2 1/1 1 5 0.057315 In 0.043806 0.070825 -33/2 -1/1 1 5 0.060434 In 0.047701 0.073166 -31/2 1/1 1 5 0.064738 In 0.049378 0.080098 -29/2 -1/1 1 5 0.068744 In 0.054383 0.083105 -27/2 1/1 1 5 0.074369 In 0.056574 0.092164 -25/2 -1/1 1 5 0.079706 In 0.063243 0.096168 -23/2 1/1 1 5 0.087368 In 0.066225 0.108510 -21/2 -1/1 1 5 0.094828 In 0.075551 0.114104 -19/2 1/1 1 5 0.105876 In 0.079846 0.131905 -17/2 -1/1 1 5 0.117036 In 0.093808 0.140264 -15/2 1/1 1 5 0.134342 In 0.100522 0.168161 -13/2 -1/1 1 5 0.152844 In 0.123701 0.181987 -11/2 1/1 1 5 0.183775 In 0.135648 0.231902 -9/2 -1/1 1 5 0.220297 In 0.181553 0.259041 -7/2 1/1 1 5 0.290984 In 0.208506 0.373462 -5/2 -1/1 1 5 0.395161 In 0.341063 0.449260 -3/2 1/1 1 5 0.704545 In 0.450447 0.958644 -1/2 -1/1 1 5 2.250000 In 1.690983 2.809017 1/2 1/1 1 5 -2.250000 In -2.809017 -1.690983 3/2 -1/1 1 5 -0.704545 In -0.958644 -0.450447 5/2 1/1 1 5 -0.395161 In -0.449260 -0.341063 7/2 -1/1 1 5 -0.290984 In -0.373462 -0.208506 9/2 1/1 1 5 -0.220297 In -0.259041 -0.181553 11/2 -1/1 1 5 -0.183775 In -0.231902 -0.135648 13/2 1/1 1 5 -0.152844 In -0.181987 -0.123701 15/2 -1/1 1 5 -0.134342 In -0.168161 -0.100522 17/2 1/1 1 5 -0.117036 In -0.140264 -0.093808 19/2 -1/1 1 5 -0.105876 In -0.131905 -0.079846 21/2 1/1 1 5 -0.094828 In -0.114104 -0.075551 23/2 -1/1 1 5 -0.087368 In -0.108510 -0.066225 25/2 1/1 1 5 -0.079706 In -0.096168 -0.063243 27/2 -1/1 1 5 -0.074369 In -0.092164 -0.056574 29/2 1/1 1 5 -0.068744 In -0.083105 -0.054383 31/2 -1/1 1 5 -0.064738 In -0.080098 -0.049378 33/2 1/1 1 5 -0.060434 In -0.073166 -0.047701 35/2 -1/1 1 5 -0.057315 In -0.070825 -0.043806 37/2 1/1 1 5 -0.053916 In -0.065351 -0.042481 39/2 -1/1 1 5 -0.051420 In -0.063477 -0.039364 41/2 1/1 1 5 -0.048667 In -0.059044 -0.038290 43/2 -1/1 1 5 -0.046625 In -0.057510 -0.035740 45/2 1/1 1 5 -0.044350 In -0.053847 -0.034853 47/2 -1/1 1 5 -0.042648 In -0.052569 -0.032727 49/2 1/1 1 5 -0.040736 In -0.049491 -0.031981 -50/3 -2/1 1 10 0.059930 In 0.054363 0.065496 -49/3 -1/2 1 10 0.061144 In 0.048631 0.073656 -47/3 1/2 1 10 0.063923 In 0.050037 0.077810 -46/3 2/1 1 10 0.065324 In 0.057552 0.073097 -44/3 -2/1 1 10 0.068093 In 0.061884 0.074301 -43/3 -1/2 1 10 0.069663 In 0.055467 0.083859 -41/3 1/2 1 10 0.073294 In 0.057303 0.089285 -40/3 2/1 1 10 0.075144 In 0.066050 0.084238 -38/3 -2/1 1 10 0.078831 In 0.071821 0.085840 -37/3 -1/2 1 10 0.080941 In 0.064539 0.097343 -35/3 1/2 1 10 0.085885 In 0.067038 0.104731 -34/3 2/1 1 10 0.088439 In 0.077493 0.099385 -32/3 -2/1 1 10 0.093591 In 0.085559 0.101624 -31/3 -1/2 1 10 0.096576 In 0.077159 0.115993 -29/3 1/2 1 10 0.103698 In 0.080759 0.126638 -28/3 2/1 1 10 0.107453 In 0.093732 0.121174 -26/3 -2/1 1 10 0.115157 In 0.105796 0.124518 -25/3 -1/2 1 10 0.119699 In 0.095915 0.143483 -23/3 1/2 1 10 0.130838 In 0.101541 0.160135 -22/3 2/1 1 10 0.136890 In 0.118581 0.155199 -20/3 -2/1 1 10 0.149650 In 0.138571 0.160729 -19/3 -1/2 1 10 0.157384 In 0.126717 0.188052 -17/3 1/2 1 10 0.177224 In 0.136724 0.217724 -16/3 2/1 1 10 0.188576 In 0.161358 0.215794 -14/3 -2/1 1 10 0.213701 In 0.200768 0.226635 -13/3 -1/2 1 10 0.229722 In 0.186659 0.272784 -11/3 1/2 1 10 0.274607 In 0.209217 0.339997 -10/3 2/1 1 10 0.303213 In 0.252413 0.354012 -8/3 -2/1 1 10 0.374214 In 0.364270 0.384158 -7/3 -1/2 1 10 0.425358 In 0.354223 0.496493 -5/3 1/2 1 10 0.610442 In 0.445343 0.775541 -4/3 2/1 1 10 0.782051 In 0.579341 0.984761 -2/3 -2/1 1 10 1.611111 In 1.259747 1.962475 -1/3 -1/2 1 10 3.111111 In 2.759747 3.462475 1/3 1/2 1 10 -3.111111 In -3.462475 -2.759747 2/3 2/1 1 10 -1.611111 In -1.962475 -1.259747 4/3 -2/1 1 10 -0.782051 In -0.984761 -0.579341 5/3 -1/2 1 10 -0.610442 In -0.775541 -0.445343 7/3 1/2 1 10 -0.425358 In -0.496493 -0.354223 8/3 2/1 1 10 -0.374214 In -0.384158 -0.364270 10/3 -2/1 1 10 -0.303213 In -0.354012 -0.252413 11/3 -1/2 1 10 -0.274607 In -0.339997 -0.209217 13/3 1/2 1 10 -0.229722 In -0.272784 -0.186659 14/3 2/1 1 10 -0.213701 In -0.226635 -0.200768 16/3 -2/1 1 10 -0.188576 In -0.215794 -0.161358 17/3 -1/2 1 10 -0.177224 In -0.217724 -0.136724 19/3 1/2 1 10 -0.157384 In -0.188052 -0.126717 20/3 2/1 1 10 -0.149650 In -0.160729 -0.138571 22/3 -2/1 1 10 -0.136890 In -0.155199 -0.118581 23/3 -1/2 1 10 -0.130838 In -0.160135 -0.101541 25/3 1/2 1 10 -0.119699 In -0.143483 -0.095915 26/3 2/1 1 10 -0.115157 In -0.124518 -0.105796 28/3 -2/1 1 10 -0.107453 In -0.121174 -0.093732 29/3 -1/2 1 10 -0.103698 In -0.126638 -0.080759 31/3 1/2 1 10 -0.096576 In -0.115993 -0.077159 32/3 2/1 1 10 -0.093591 In -0.101624 -0.085559 34/3 -2/1 1 10 -0.088439 In -0.099385 -0.077493 35/3 -1/2 1 10 -0.085885 In -0.104731 -0.067038 37/3 1/2 1 10 -0.080941 In -0.097343 -0.064539 38/3 2/1 1 10 -0.078831 In -0.085840 -0.071821 40/3 -2/1 1 10 -0.075144 In -0.084238 -0.066050 41/3 -1/2 1 10 -0.073294 In -0.089285 -0.057303 43/3 1/2 1 10 -0.069663 In -0.083859 -0.055467 44/3 2/1 1 10 -0.068093 In -0.074301 -0.061884 46/3 -2/1 1 10 -0.065324 In -0.073097 -0.057552 47/3 -1/2 1 10 -0.063923 In -0.077810 -0.050037 49/3 1/2 1 10 -0.061144 In -0.073656 -0.048631 50/3 2/1 1 10 -0.059930 In -0.065496 -0.054363 -49/4 0 5 -47/4 0 5 -45/4 0 5 -43/4 0 5 -41/4 0 5 -39/4 0 5 -37/4 0 5 -35/4 0 5 -33/4 0 5 -31/4 0 5 -29/4 0 5 -27/4 0 5 -25/4 0 5 -23/4 0 5 -21/4 0 5 -19/4 0 5 -17/4 0 5 -15/4 0 5 -13/4 0 5 -11/4 0 5 -9/4 0 5 -7/4 0 5 -5/4 0 5 -3/4 0 5 -1/4 0 5 1/4 0 5 3/4 0 5 5/4 0 5 7/4 0 5 9/4 0 5 11/4 0 5 13/4 0 5 15/4 0 5 17/4 0 5 19/4 0 5 21/4 0 5 23/4 0 5 25/4 0 5 27/4 0 5 29/4 0 5 31/4 0 5 33/4 0 5 35/4 0 5 37/4 0 5 39/4 0 5 41/4 0 5 43/4 0 5 45/4 0 5 47/4 0 5 49/4 0 5 -49/5 0 2 -48/5 0/1 1 2 0.104167 In 0.089435 0.118898 -47/5 1/0 1 2 0.106407 In 0.104806 0.108008 -46/5 0 2 -44/5 0 2 -43/5 1/0 1 2 0.116311 In 0.114398 0.118223 -42/5 0/1 1 2 0.119048 In 0.102212 0.135883 -41/5 0 2 -39/5 0 2 -38/5 0/1 1 2 0.131579 In 0.112971 0.150187 -37/5 1/0 1 2 0.135185 In 0.132601 0.137768 -36/5 0 2 -34/5 0 2 -33/5 1/0 1 2 0.151585 In 0.148337 0.154833 -32/5 0/1 1 2 0.156250 In 0.134153 0.178347 -31/5 0 2 -29/5 0 2 -28/5 0/1 1 2 0.178571 In 0.153318 0.203825 -27/5 1/0 1 2 0.185312 In 0.180459 0.190165 -26/5 0 2 -24/5 0 2 -23/5 1/0 1 2 0.217597 In 0.210907 0.224287 -22/5 0/1 1 2 0.227273 In 0.195132 0.259414 -21/5 0 2 -19/5 0 2 -18/5 0/1 1 2 0.277778 In 0.238494 0.317061 -17/5 1/0 1 2 0.294627 In 0.282372 0.306882 -16/5 0 2 -14/5 0 2 -13/5 1/0 1 2 0.385757 In 0.364774 0.406739 -12/5 0/1 1 2 0.416667 In 0.357741 0.475592 -11/5 0 2 -9/5 0 2 -8/5 0/1 1 2 0.625000 In 0.536612 0.713388 -7/5 1/0 1 2 0.721649 In 0.648752 0.794547 -6/5 0 2 -4/5 0 2 -3/5 1/0 1 2 1.764706 In 1.348761 2.180651 -2/5 0/1 1 2 2.500000 In 2.146447 2.853553 -1/5 0 2 1/5 0 2 2/5 0/1 1 2 -2.500000 In -2.853553 -2.146447 3/5 1/0 1 2 -1.764706 In -2.180651 -1.348761 4/5 0 2 6/5 0 2 7/5 1/0 1 2 -0.721649 In -0.794547 -0.648752 8/5 0/1 1 2 -0.625000 In -0.713388 -0.536612 9/5 0 2 11/5 0 2 12/5 0/1 1 2 -0.416667 In -0.475592 -0.357741 13/5 1/0 1 2 -0.385757 In -0.406739 -0.364774 14/5 0 2 16/5 0 2 17/5 1/0 1 2 -0.294627 In -0.306882 -0.282372 18/5 0/1 1 2 -0.277778 In -0.317061 -0.238494 19/5 0 2 21/5 0 2 22/5 0/1 1 2 -0.227273 In -0.259414 -0.195132 23/5 1/0 1 2 -0.217597 In -0.224287 -0.210907 24/5 0 2 26/5 0 2 27/5 1/0 1 2 -0.185312 In -0.190165 -0.180459 28/5 0/1 1 2 -0.178571 In -0.203825 -0.153318 29/5 0 2 31/5 0 2 32/5 0/1 1 2 -0.156250 In -0.178347 -0.134153 33/5 1/0 1 2 -0.151585 In -0.154833 -0.148337 34/5 0 2 36/5 0 2 37/5 1/0 1 2 -0.135185 In -0.137768 -0.132601 38/5 0/1 1 2 -0.131579 In -0.150187 -0.112971 39/5 0 2 41/5 0 2 42/5 0/1 1 2 -0.119048 In -0.135883 -0.102212 43/5 1/0 1 2 -0.116311 In -0.118223 -0.114398 44/5 0 2 46/5 0 2 47/5 1/0 1 2 -0.106407 In -0.108008 -0.104806 48/5 0/1 1 2 -0.104167 In -0.118898 -0.089435 49/5 0 2 -49/6 -1/1 1 5 0.122376 In 0.114366 0.130386 -47/6 1/1 1 5 0.127762 In 0.117031 0.138493 -43/6 1/1 1 5 0.139658 In 0.127805 0.151511 -41/6 -1/1 1 5 0.146240 In 0.136927 0.155552 -37/6 -1/1 1 5 0.162040 In 0.151911 0.172168 -35/6 1/1 1 5 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