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 21 0.020000 In 0.015636 0.024364 -49/1 1/0 1 21 0.020409 In 0.020318 0.020499 -48/1 0/1 1 21 0.020833 In 0.016287 0.025380 -47/1 1/0 1 21 0.021277 In 0.021178 0.021376 -46/1 0/1 1 21 0.021739 In 0.016995 0.026483 -45/1 1/0 1 21 0.022223 In 0.022115 0.022331 -44/1 0/1 1 21 0.022727 In 0.017768 0.027687 -43/1 1/0 1 21 0.023256 In 0.023138 0.023374 -42/1 0/1 1 21 0.023810 In 0.018614 0.029005 -41/1 1/0 1 21 0.024391 In 0.024261 0.024521 -40/1 0/1 1 21 0.025000 In 0.019545 0.030455 -39/1 1/0 1 21 0.025642 In 0.025498 0.025785 -38/1 0/1 1 21 0.026316 In 0.020573 0.032058 -37/1 1/0 1 21 0.027028 In 0.026869 0.027187 -36/1 0/1 1 21 0.027778 In 0.021716 0.033839 -35/1 1/0 1 21 0.028573 In 0.028394 0.028751 -34/1 0/1 1 21 0.029412 In 0.022994 0.035830 -33/1 1/0 1 21 0.030304 In 0.030104 0.030505 -32/1 0/1 1 21 0.031250 In 0.024431 0.038069 -31/1 1/0 1 21 0.032260 In 0.032033 0.032487 -30/1 0/1 1 21 0.033333 In 0.026059 0.040607 -29/1 1/0 1 21 0.034485 In 0.034225 0.034744 -28/1 0/1 1 21 0.035714 In 0.027921 0.043508 -27/1 1/0 1 21 0.037039 In 0.036740 0.037339 -26/1 0/1 1 21 0.038462 In 0.030069 0.046855 -25/1 1/0 1 21 0.040003 In 0.039654 0.040352 -24/1 0/1 1 21 0.041667 In 0.032574 0.050759 -23/1 1/0 1 21 0.043482 In 0.043070 0.043895 -22/1 0/1 1 21 0.045455 In 0.035536 0.055374 -21/1 1/0 1 21 0.047624 In 0.047129 0.048119 -20/1 0/1 1 21 0.050000 In 0.039089 0.060911 -19/1 1/0 1 21 0.052639 In 0.052034 0.053243 -18/1 0/1 1 21 0.055556 In 0.043432 0.067679 -17/1 1/0 1 21 0.058833 In 0.058078 0.059588 -16/1 0/1 1 21 0.062500 In 0.048861 0.076139 -15/1 1/0 1 21 0.066681 In 0.065711 0.067651 -14/1 0/1 1 21 0.071429 In 0.055842 0.087016 -13/1 1/0 1 21 0.076945 In 0.075653 0.078236 -12/1 0/1 1 21 0.083333 In 0.065149 0.101518 -11/1 1/0 1 21 0.090945 In 0.089141 0.092749 -10/1 0/1 1 21 0.100000 In 0.078178 0.121822 -9/1 1/0 1 21 0.111176 In 0.108481 0.113872 -8/1 0/1 1 21 0.125000 In 0.097723 0.152277 -7/1 1/0 1 21 0.142996 In 0.138538 0.147454 -6/1 0/1 1 21 0.166667 In 0.130297 0.203036 -5/1 1/0 1 21 0.200382 In 0.191636 0.209127 -4/1 0/1 1 21 0.250000 In 0.195446 0.304554 -3/1 1/0 1 21 0.335106 In 0.310731 0.359482 -2/1 0/1 1 21 0.500000 In 0.390891 0.609109 -1/1 1/0 1 21 1.050000 In 0.820871 1.279129 0/1 0/1 1 21 1/1 1/0 1 21 -1.050000 In -1.279129 -0.820871 2/1 0/1 1 21 -0.500000 In -0.609109 -0.390891 3/1 1/0 1 21 -0.335106 In -0.359482 -0.310731 4/1 0/1 1 21 -0.250000 In -0.304554 -0.195446 5/1 1/0 1 21 -0.200382 In -0.209127 -0.191636 6/1 0/1 1 21 -0.166667 In -0.203036 -0.130297 7/1 1/0 1 21 -0.142996 In -0.147454 -0.138538 8/1 0/1 1 21 -0.125000 In -0.152277 -0.097723 9/1 1/0 1 21 -0.111176 In -0.113872 -0.108481 10/1 0/1 1 21 -0.100000 In -0.121822 -0.078178 11/1 1/0 1 21 -0.090945 In -0.092749 -0.089141 12/1 0/1 1 21 -0.083333 In -0.101518 -0.065149 13/1 1/0 1 21 -0.076945 In -0.078236 -0.075653 14/1 0/1 1 21 -0.071429 In -0.087016 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36/1 0/1 1 21 -0.027778 In -0.033839 -0.021716 37/1 1/0 1 21 -0.027028 In -0.027187 -0.026869 38/1 0/1 1 21 -0.026316 In -0.032058 -0.020573 39/1 1/0 1 21 -0.025642 In -0.025785 -0.025498 40/1 0/1 1 21 -0.025000 In -0.030455 -0.019545 41/1 1/0 1 21 -0.024391 In -0.024521 -0.024261 42/1 0/1 1 21 -0.023810 In -0.029005 -0.018614 43/1 1/0 1 21 -0.023256 In -0.023374 -0.023138 44/1 0/1 1 21 -0.022727 In -0.027687 -0.017768 45/1 1/0 1 21 -0.022223 In -0.022331 -0.022115 46/1 0/1 1 21 -0.021739 In -0.026483 -0.016995 47/1 1/0 1 21 -0.021277 In -0.021376 -0.021178 48/1 0/1 1 21 -0.020833 In -0.025380 -0.016287 49/1 1/0 1 21 -0.020409 In -0.020499 -0.020318 50/1 0/1 1 21 -0.020000 In -0.024364 -0.015636 -49/2 1/1 1 21 0.040837 In 0.036202 0.045472 -47/2 -1/1 1 21 0.042533 In 0.038087 0.046978 -45/2 1/1 1 21 0.044469 In 0.039404 0.049534 -43/2 -1/1 1 21 0.046487 In 0.041648 0.051326 -41/2 1/1 1 21 0.048810 In 0.043228 0.054392 -39/2 -1/1 1 21 0.051252 In 0.045944 0.056561 -37/2 1/1 1 21 0.054091 In 0.047874 0.060308 -35/2 -1/1 1 21 0.057106 In 0.051227 0.062985 -33/2 1/1 1 21 0.060652 In 0.053639 0.067666 -31/2 -1/1 1 21 0.064470 In 0.057884 0.071055 -29/2 1/1 1 21 0.069026 In 0.060982 0.077070 -27/2 -1/1 1 21 0.074014 In 0.066530 0.081498 -25/2 1/1 1 21 0.080082 In 0.070655 0.089510 -23/2 -1/1 1 21 0.086874 In 0.078211 0.095538 -21/2 1/1 1 21 0.095356 In 0.083974 0.106739 -19/2 -1/1 1 21 0.105145 In 0.094868 0.115423 -17/2 1/1 1 21 0.117831 In 0.103482 0.132180 -15/2 -1/1 1 21 0.133150 In 0.120539 0.145761 -13/2 1/1 1 21 0.154171 In 0.134797 0.173545 -11/2 -1/1 1 21 0.181496 In 0.165259 0.197734 -9/2 1/1 1 21 0.222941 In 0.193289 0.252593 -7/2 -1/1 1 21 0.285019 In 0.262731 0.307308 -5/2 1/1 1 21 0.402672 In 0.341454 0.463889 -3/2 -1/1 1 21 0.664894 In 0.640518 0.689269 -1/2 1/1 1 21 2.150000 In 1.462614 2.837386 1/2 -1/1 1 21 -2.150000 In -2.837386 -1.462614 3/2 1/1 1 21 -0.664894 In -0.689269 -0.640518 5/2 -1/1 1 21 -0.402672 In -0.463889 -0.341454 7/2 1/1 1 21 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-0.040837 In -0.045472 -0.036202 -50/3 0 7 -49/3 0 7 -47/3 0 7 -46/3 0 7 -44/3 0 7 -43/3 0 7 -41/3 0 7 -40/3 0 7 -38/3 0 7 -37/3 0 7 -35/3 0 7 -34/3 0 7 -32/3 0 7 -31/3 0 7 -29/3 0 7 -28/3 0 7 -26/3 0 7 -25/3 0 7 -23/3 0 7 -22/3 0 7 -20/3 0 7 -19/3 0 7 -17/3 0 7 -16/3 0 7 -14/3 0 7 -13/3 0 7 -11/3 0 7 -10/3 0 7 -8/3 0 7 -7/3 0 7 -5/3 0 7 -4/3 0 7 -2/3 0 7 -1/3 0 7 1/3 0 7 2/3 0 7 4/3 0 7 5/3 0 7 7/3 0 7 8/3 0 7 10/3 0 7 11/3 0 7 13/3 0 7 14/3 0 7 16/3 0 7 17/3 0 7 19/3 0 7 20/3 0 7 22/3 0 7 23/3 0 7 25/3 0 7 26/3 0 7 28/3 0 7 29/3 0 7 31/3 0 7 32/3 0 7 34/3 0 7 35/3 0 7 37/3 0 7 38/3 0 7 40/3 0 7 41/3 0 7 43/3 0 7 44/3 0 7 46/3 0 7 47/3 0 7 49/3 0 7 50/3 0 7 -49/4 -1/1 1 21 0.081614 In 0.077524 0.085704 -47/4 1/1 1 21 0.085130 In 0.080092 0.090168 -45/4 1/1 1 21 0.088914 In 0.083634 0.094195 -43/4 -1/1 1 21 0.093000 In 0.088397 0.097603 -41/4 -1/1 1 21 0.097535 In 0.092732 0.102339 -39/4 1/1 1 21 0.102599 In 0.096429 0.108768 -37/4 1/1 1 21 0.108147 In 0.101611 0.114682 -35/4 -1/1 1 21 0.114251 In 0.108729 0.119774 -33/4 -1/1 1 21 0.121174 In 0.115362 0.126985 -31/4 1/1 1 21 0.129088 In 0.121140 0.137036 -29/4 1/1 1 21 0.137995 In 0.129432 0.146559 -27/4 -1/1 1 21 0.148093 In 0.141207 0.154978 -25/4 -1/1 1 21 0.159936 In 0.152603 0.167269 -23/4 1/1 1 21 0.174019 In 0.162880 0.185158 -21/4 1/1 1 21 0.190605 In 0.178233 0.202977 -19/4 -1/1 1 21 0.210422 In 0.201354 0.219491 -17/4 -1/1 1 21 0.235168 In 0.225350 0.244986 -15/4 1/1 1 21 0.266935 In 0.248504 0.285366 -13/4 1/1 1 21 0.308061 In 0.286104 0.330018 -11/4 -1/1 1 21 0.363386 In 0.350757 0.376015 -9/4 -1/1 1 21 0.444118 In 0.430639 0.457596 -7/4 1/1 1 21 0.572957 In 0.523922 0.621993 -5/4 1/1 1 21 0.803435 In 0.724727 0.882143 -3/4 -1/1 1 21 1.335106 In 1.310731 1.359482 -1/4 -1/1 1 21 4.150000 In 3.462614 4.837386 1/4 1/1 1 21 -4.150000 In -4.837386 -3.462614 3/4 1/1 1 21 -1.335106 In -1.359482 -1.310731 5/4 -1/1 1 21 -0.803435 In -0.882143 -0.724727 7/4 -1/1 1 21 -0.572957 In -0.621993 -0.523922 9/4 1/1 1 21 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0.102083 In 0.092721 0.111444 -48/5 -2/1 1 21 0.104134 In 0.100535 0.107733 -47/5 -1/2 1 21 0.106342 In 0.097550 0.115134 -46/5 2/1 1 21 0.108750 In 0.102975 0.114526 -44/5 -2/1 1 21 0.113598 In 0.109766 0.117431 -43/5 1/2 1 21 0.116334 In 0.105594 0.127074 -42/5 2/1 1 21 0.119114 In 0.112681 0.125548 -41/5 -1/2 1 21 0.121898 In 0.111902 0.131894 -39/5 1/2 1 21 0.128272 In 0.116363 0.140180 -38/5 -2/1 1 21 0.131530 In 0.127298 0.135762 -37/5 -1/2 1 21 0.135070 In 0.124071 0.146069 -36/5 2/1 1 21 0.138983 In 0.131236 0.146729 -34/5 -2/1 1 21 0.147001 In 0.142469 0.151532 -33/5 1/2 1 21 0.151609 In 0.137381 0.165837 -32/5 2/1 1 21 0.156372 In 0.147420 0.165324 -31/5 -1/2 1 21 0.161199 In 0.148255 0.174143 -29/5 1/2 1 21 0.172537 In 0.156189 0.188885 -28/5 -2/1 1 21 0.178493 In 0.173482 0.183505 -27/5 -1/2 1 21 0.185067 In 0.170398 0.199735 -26/5 2/1 1 21 0.192503 In 0.180878 0.204127 -24/5 -2/1 1 21 0.208237 In 0.202931 0.213543 -23/5 1/2 1 21 0.217591 In 0.196551 0.238631 -22/5 2/1 1 21 0.227559 In 0.213126 0.241992 -21/5 -1/2 1 21 0.237905 In 0.219594 0.256215 -19/5 1/2 1 21 0.263456 In 0.237460 0.289453 -18/5 -2/1 1 21 0.277647 In 0.272256 0.283038 -17/5 -1/2 1 21 0.293837 In 0.271936 0.315737 -16/5 2/1 1 21 0.313105 In 0.290926 0.335284 -14/5 -2/1 1 21 0.357004 In 0.352546 0.361462 -13/5 1/2 1 21 0.385287 In 0.345248 0.425327 -12/5 2/1 1 21 0.417881 In 0.384498 0.451264 -11/5 -1/2 1 21 0.453937 In 0.423266 0.484608 -9/5 1/2 1 21 0.557059 In 0.495059 0.619058 -8/5 -2/1 1 21 0.625373 In 0.618533 0.632213 -7/5 -1/2 1 21 0.713035 In 0.672915 0.753155 -6/5 2/1 1 21 0.840426 In 0.742924 0.937927 -4/5 -2/1 1 21 1.259036 In 1.176219 1.341854 -3/5 1/2 1 21 1.686170 In 1.418041 1.954300 -2/5 2/1 1 21 2.650000 In 1.962614 3.337386 -1/5 -1/2 1 21 5.150000 In 4.462614 5.837386 1/5 1/2 1 21 -5.150000 In -5.837386 -4.462614 2/5 -2/1 1 21 -2.650000 In -3.337386 -1.962614 3/5 -1/2 1 21 -1.686170 In -1.954300 -1.418041 4/5 2/1 1 21 -1.259036 In -1.341854 -1.176219 6/5 -2/1 1 21 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