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 5 0.020000 In 0.011056 0.028944 -49/1 1/0 1 5 0.020410 In 0.020224 0.020596 -48/1 0/1 1 5 0.020833 In 0.011516 0.030150 -47/1 1/0 1 5 0.021279 In 0.021076 0.021481 -46/1 0/1 1 5 0.021739 In 0.012017 0.031461 -45/1 1/0 1 5 0.022224 In 0.022004 0.022445 -44/1 0/1 1 5 0.022727 In 0.012563 0.032891 -43/1 1/0 1 5 0.023258 In 0.023016 0.023500 -42/1 0/1 1 5 0.023810 In 0.013162 0.034457 -41/1 1/0 1 5 0.024393 In 0.024127 0.024659 -40/1 0/1 1 5 0.025000 In 0.013820 0.036180 -39/1 1/0 1 5 0.025644 In 0.025350 0.025938 -38/1 0/1 1 5 0.026316 In 0.014547 0.038085 -37/1 1/0 1 5 0.027031 In 0.026704 0.027358 -36/1 0/1 1 5 0.027778 In 0.015355 0.040200 -35/1 1/0 1 5 0.028576 In 0.028211 0.028941 -34/1 0/1 1 5 0.029412 In 0.016258 0.042565 -33/1 1/0 1 5 0.030309 In 0.029898 0.030719 -32/1 0/1 1 5 0.031250 In 0.017275 0.045225 -31/1 1/0 1 5 0.032265 In 0.031799 0.032730 -30/1 0/1 1 5 0.033333 In 0.018426 0.048240 -29/1 1/0 1 5 0.034491 In 0.033959 0.035023 -28/1 0/1 1 5 0.035714 In 0.019742 0.051686 -27/1 1/0 1 5 0.037047 In 0.036434 0.037661 -26/1 0/1 1 5 0.038462 In 0.021261 0.055662 -25/1 1/0 1 5 0.040013 In 0.039297 0.040729 -24/1 0/1 1 5 0.041667 In 0.023033 0.060301 -23/1 1/0 1 5 0.043495 In 0.042649 0.044340 -22/1 0/1 1 5 0.045455 In 0.025127 0.065782 -21/1 1/0 1 5 0.047641 In 0.046626 0.048655 -20/1 0/1 1 5 0.050000 In 0.027639 0.072361 -19/1 1/0 1 5 0.052661 In 0.051421 0.053900 -18/1 0/1 1 5 0.055556 In 0.030710 0.080401 -17/1 1/0 1 5 0.058864 In 0.057316 0.060413 -16/1 0/1 1 5 0.062500 In 0.034549 0.090451 -15/1 1/0 1 5 0.066726 In 0.064737 0.068715 -14/1 0/1 1 5 0.071429 In 0.039485 0.103372 -13/1 1/0 1 5 0.077014 In 0.074365 0.079664 -12/1 0/1 1 5 0.083333 In 0.046066 0.120601 -11/1 1/0 1 5 0.091060 In 0.087358 0.094762 -10/1 0/1 1 5 0.100000 In 0.055279 0.144721 -9/1 1/0 1 5 0.111386 In 0.105851 0.116921 -8/1 0/1 1 5 0.125000 In 0.069098 0.180902 -7/1 1/0 1 5 0.143443 In 0.134278 0.152607 -6/1 0/1 1 5 0.166667 In 0.092131 0.241202 -5/1 1/0 1 5 0.201613 In 0.183580 0.219646 -4/1 0/1 1 5 0.250000 In 0.138197 0.361803 -3/1 1/0 1 5 0.340909 In 0.290089 0.391729 -2/1 0/1 1 5 0.500000 In 0.276393 0.723607 -1/1 1/0 1 5 1.250000 In 0.690983 1.809017 0/1 0/1 1 5 1/1 1/0 1 5 -1.250000 In -1.809017 -0.690983 2/1 0/1 1 5 -0.500000 In -0.723607 -0.276393 3/1 1/0 1 5 -0.340909 In -0.391729 -0.290089 4/1 0/1 1 5 -0.250000 In -0.361803 -0.138197 5/1 1/0 1 5 -0.201613 In -0.219646 -0.183580 6/1 0/1 1 5 -0.166667 In -0.241202 -0.092131 7/1 1/0 1 5 -0.143443 In -0.152607 -0.134278 8/1 0/1 1 5 -0.125000 In -0.180902 -0.069098 9/1 1/0 1 5 -0.111386 In -0.116921 -0.105851 10/1 0/1 1 5 -0.100000 In -0.144721 -0.055279 11/1 1/0 1 5 -0.091060 In -0.094762 -0.087358 12/1 0/1 1 5 -0.083333 In -0.120601 -0.046066 13/1 1/0 1 5 -0.077014 In -0.079664 -0.074365 14/1 0/1 1 5 -0.071429 In -0.103372 -0.039485 15/1 1/0 1 5 -0.066726 In -0.068715 -0.064737 16/1 0/1 1 5 -0.062500 In -0.090451 -0.034549 17/1 1/0 1 5 -0.058864 In -0.060413 -0.057316 18/1 0/1 1 5 -0.055556 In -0.080401 -0.030710 19/1 1/0 1 5 -0.052661 In -0.053900 -0.051421 20/1 0/1 1 5 -0.050000 In -0.072361 -0.027639 21/1 1/0 1 5 -0.047641 In -0.048655 -0.046626 22/1 0/1 1 5 -0.045455 In -0.065782 -0.025127 23/1 1/0 1 5 -0.043495 In -0.044340 -0.042649 24/1 0/1 1 5 -0.041667 In -0.060301 -0.023033 25/1 1/0 1 5 -0.040013 In -0.040729 -0.039297 26/1 0/1 1 5 -0.038462 In -0.055662 -0.021261 27/1 1/0 1 5 -0.037047 In -0.037661 -0.036434 28/1 0/1 1 5 -0.035714 In -0.051686 -0.019742 29/1 1/0 1 5 -0.034491 In -0.035023 -0.033959 30/1 0/1 1 5 -0.033333 In -0.048240 -0.018426 31/1 1/0 1 5 -0.032265 In -0.032730 -0.031799 32/1 0/1 1 5 -0.031250 In -0.045225 -0.017275 33/1 1/0 1 5 -0.030309 In -0.030719 -0.029898 34/1 0/1 1 5 -0.029412 In -0.042565 -0.016258 35/1 1/0 1 5 -0.028576 In -0.028941 -0.028211 36/1 0/1 1 5 -0.027778 In -0.040200 -0.015355 37/1 1/0 1 5 -0.027031 In -0.027358 -0.026704 38/1 0/1 1 5 -0.026316 In -0.038085 -0.014547 39/1 1/0 1 5 -0.025644 In -0.025938 -0.025350 40/1 0/1 1 5 -0.025000 In -0.036180 -0.013820 41/1 1/0 1 5 -0.024393 In -0.024659 -0.024127 42/1 0/1 1 5 -0.023810 In -0.034457 -0.013162 43/1 1/0 1 5 -0.023258 In -0.023500 -0.023016 44/1 0/1 1 5 -0.022727 In -0.032891 -0.012563 45/1 1/0 1 5 -0.022224 In -0.022445 -0.022004 46/1 0/1 1 5 -0.021739 In -0.031461 -0.012017 47/1 1/0 1 5 -0.021279 In -0.021481 -0.021076 48/1 0/1 1 5 -0.020833 In -0.030150 -0.011516 49/1 1/0 1 5 -0.020410 In -0.020596 -0.020224 50/1 0/1 1 5 -0.020000 In -0.028944 -0.011056 -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 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0.083656 -46/3 2/1 1 5 0.065431 In 0.054437 0.076425 -44/3 -2/1 1 5 0.068003 In 0.059222 0.076785 -43/3 -1/2 1 5 0.069559 In 0.049481 0.089636 -41/3 1/2 1 5 0.073417 In 0.050801 0.096034 -40/3 2/1 1 5 0.075288 In 0.062424 0.088151 -38/3 -2/1 1 5 0.078714 In 0.068798 0.088630 -37/3 -1/2 1 5 0.080801 In 0.057604 0.103998 -35/3 1/2 1 5 0.086055 In 0.059400 0.112709 -34/3 2/1 1 5 0.088643 In 0.073157 0.104128 -32/3 -2/1 1 5 0.093432 In 0.082068 0.104796 -31/3 -1/2 1 5 0.096378 In 0.068916 0.123840 -29/3 1/2 1 5 0.103949 In 0.071503 0.136394 -28/3 2/1 1 5 0.107763 In 0.088349 0.127177 -26/3 -2/1 1 5 0.114929 In 0.101682 0.128176 -25/3 -1/2 1 5 0.119398 In 0.085757 0.153039 -23/3 1/2 1 5 0.131241 In 0.089801 0.172681 -22/3 2/1 1 5 0.137417 In 0.111503 0.163332 -20/3 -2/1 1 5 0.149299 In 0.133615 0.164982 -19/3 -1/2 1 5 0.156874 In 0.113491 0.200256 -17/3 1/2 1 5 0.177978 In 0.120682 0.235273 -16/3 2/1 1 5 0.189655 In 0.151102 0.228208 -14/3 -2/1 1 5 0.213115 In 0.194786 0.231443 -13/3 -1/2 1 5 0.228673 In 0.167737 0.289608 -11/3 1/2 1 5 0.276490 In 0.183938 0.369043 -10/3 2/1 1 5 0.306452 In 0.234320 0.378583 -8/3 -2/1 1 5 0.373418 In 0.359265 0.387570 -7/3 -1/2 1 5 0.422131 In 0.321325 0.522937 -5/3 1/2 1 5 0.620968 In 0.386541 0.855394 -4/3 2/1 1 5 0.815789 In 0.521570 1.110009 -2/3 -2/1 1 5 1.750000 In 1.190983 2.309017 -1/3 -1/2 1 5 3.250000 In 2.690983 3.809017 1/3 1/2 1 5 -3.250000 In -3.809017 -2.690983 2/3 2/1 1 5 -1.750000 In -2.309017 -1.190983 4/3 -2/1 1 5 -0.815789 In -1.110009 -0.521570 5/3 -1/2 1 5 -0.620968 In -0.855394 -0.386541 7/3 1/2 1 5 -0.422131 In -0.522937 -0.321325 8/3 2/1 1 5 -0.373418 In -0.387570 -0.359265 10/3 -2/1 1 5 -0.306452 In -0.378583 -0.234320 11/3 -1/2 1 5 -0.276490 In -0.369043 -0.183938 13/3 1/2 1 5 -0.228673 In -0.289608 -0.167737 14/3 2/1 1 5 -0.213115 In -0.231443 -0.194786 16/3 -2/1 1 5 -0.189655 In -0.228208 -0.151102 17/3 -1/2 1 5 -0.177978 In -0.235273 -0.120682 19/3 1/2 1 5 -0.156874 In -0.200256 -0.113491 20/3 2/1 1 5 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0.108027 -47/4 1/3 1 5 0.085386 In 0.056028 0.114744 -45/4 3/1 1 5 0.089265 In 0.076665 0.101864 -43/4 -3/1 1 5 0.092789 In 0.085284 0.100294 -41/4 -1/3 1 5 0.097216 In 0.065553 0.128878 -39/4 1/3 1 5 0.102972 In 0.067390 0.138554 -37/4 3/1 1 5 0.108689 In 0.092661 0.124717 -35/4 -3/1 1 5 0.113963 In 0.105554 0.122372 -33/4 -1/3 1 5 0.120683 In 0.081663 0.159704 -31/4 1/3 1 5 0.129684 In 0.084534 0.174833 -29/4 3/1 1 5 0.138942 In 0.117093 0.160791 -27/4 -3/1 1 5 0.147690 In 0.138465 0.156914 -25/4 -1/3 1 5 0.159091 In 0.108271 0.209911 -23/4 1/3 1 5 0.175113 In 0.113376 0.236851 -21/4 3/1 1 5 0.192623 In 0.159021 0.226225 -19/4 -3/1 1 5 0.209911 In 0.201196 0.218626 -17/4 -1/3 1 5 0.233380 In 0.160599 0.306160 -15/4 1/3 1 5 0.269573 In 0.172093 0.367053 -13/4 3/1 1 5 0.314593 In 0.247725 0.381461 -11/4 -3/1 1 5 0.364094 In 0.360342 0.367846 -9/4 -1/3 1 5 0.438119 In 0.310818 0.565420 -7/4 1/3 1 5 0.586066 In 0.356960 0.815171 -5/4 3/1 1 5 0.887931 In 0.560231 1.215631 -3/4 -3/1 1 5 1.583333 In 1.024316 2.142350 -1/4 -1/3 1 5 4.250000 In 3.690983 4.809017 1/4 1/3 1 5 -4.250000 In -4.809017 -3.690983 3/4 3/1 1 5 -1.583333 In -2.142350 -1.024316 5/4 -3/1 1 5 -0.887931 In -1.215631 -0.560231 7/4 -1/3 1 5 -0.586066 In -0.815171 -0.356960 9/4 1/3 1 5 -0.438119 In -0.565420 -0.310818 11/4 3/1 1 5 -0.364094 In -0.367846 -0.360342 13/4 -3/1 1 5 -0.314593 In -0.381461 -0.247725 15/4 -1/3 1 5 -0.269573 In -0.367053 -0.172093 17/4 1/3 1 5 -0.233380 In -0.306160 -0.160599 19/4 3/1 1 5 -0.209911 In -0.218626 -0.201196 21/4 -3/1 1 5 -0.192623 In -0.226225 -0.159021 23/4 -1/3 1 5 -0.175113 In -0.236851 -0.113376 25/4 1/3 1 5 -0.159091 In -0.209911 -0.108271 27/4 3/1 1 5 -0.147690 In -0.156914 -0.138465 29/4 -3/1 1 5 -0.138942 In -0.160791 -0.117093 31/4 -1/3 1 5 -0.129684 In -0.174833 -0.084534 33/4 1/3 1 5 -0.120683 In -0.159704 -0.081663 35/4 3/1 1 5 -0.113963 In -0.122372 -0.105554 37/4 -3/1 1 5 -0.108689 In -0.124717 -0.092661 39/4 -1/3 1 5 -0.102972 In -0.138554 -0.067390 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