SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 1/0 2 2 -50/1 -50/1 1 6 -49/1 -49/1 1 6 -48/1 -48/1 1 6 -47/1 1/0 1 6 0.021278 In 0.021093 0.021463 -46/1 -46/1 1 6 -45/1 -45/1 1 6 -44/1 -44/1 1 6 -43/1 1/0 1 6 0.023258 In 0.023037 0.023479 -42/1 -42/1 1 6 -41/1 -41/1 1 6 -40/1 -40/1 1 6 -39/1 1/0 1 6 0.025644 In 0.025375 0.025912 -38/1 -38/1 1 6 -37/1 -37/1 1 6 -36/1 -36/1 1 6 -35/1 1/0 1 6 0.028575 In 0.028242 0.028909 -34/1 -34/1 1 6 -33/1 -33/1 1 6 -32/1 -32/1 1 6 -31/1 1/0 1 6 0.032264 In 0.031839 0.032689 -30/1 -30/1 1 6 -29/1 -29/1 1 6 -28/1 -28/1 1 6 -27/1 1/0 1 6 0.037046 In 0.036485 0.037606 -26/1 -26/1 1 6 -25/1 -25/1 1 6 -24/1 -24/1 1 6 -23/1 1/0 1 6 0.043492 In 0.042720 0.044264 -22/1 -22/1 1 6 -21/1 -21/1 1 6 -20/1 -20/1 1 6 -19/1 1/0 1 6 0.052656 In 0.051524 0.053787 -18/1 -18/1 1 6 -17/1 -17/1 1 6 -16/1 -16/1 1 6 -15/1 1/0 1 6 0.066716 In 0.064900 0.068532 -14/1 -14/1 1 6 -13/1 -13/1 1 6 -12/1 -12/1 1 6 -11/1 1/0 1 6 0.091034 In 0.087656 0.094413 -10/1 -10/1 1 6 -9/1 -9/1 1 6 -8/1 -8/1 1 6 -7/1 1/0 1 6 0.143345 In 0.134985 0.151705 -6/1 -6/1 1 6 -5/1 -5/1 1 6 -4/1 -4/1 1 6 -3/1 1/0 1 6 0.339623 In 0.293406 0.385839 -2/1 -2/1 1 6 -1/1 -1/1 1 6 0/1 0/1 1 6 1/1 1/0 1 6 -1.200000 In -1.689898 -0.710102 2/1 2/1 1 6 3/1 3/1 1 6 4/1 4/1 1 6 5/1 1/0 1 6 -0.201342 In -0.217782 -0.184903 6/1 6/1 1 6 7/1 7/1 1 6 8/1 8/1 1 6 9/1 1/0 1 6 -0.111340 In -0.116391 -0.106290 10/1 10/1 1 6 11/1 11/1 1 6 12/1 12/1 1 6 13/1 1/0 1 6 -0.076999 In -0.079417 -0.074581 14/1 14/1 1 6 15/1 15/1 1 6 16/1 16/1 1 6 17/1 1/0 1 6 -0.058857 In -0.060271 -0.057444 18/1 18/1 1 6 19/1 19/1 1 6 20/1 20/1 1 6 21/1 1/0 1 6 -0.047637 In -0.048563 -0.046711 22/1 22/1 1 6 23/1 23/1 1 6 24/1 24/1 1 6 25/1 1/0 1 6 -0.040011 In -0.040664 -0.039357 26/1 26/1 1 6 27/1 27/1 1 6 28/1 28/1 1 6 29/1 1/0 1 6 -0.034490 In -0.034975 -0.034004 30/1 30/1 1 6 31/1 31/1 1 6 32/1 32/1 1 6 33/1 1/0 1 6 -0.030308 In -0.030683 -0.029933 34/1 34/1 1 6 35/1 35/1 1 6 36/1 36/1 1 6 37/1 1/0 1 6 -0.027030 In -0.027329 -0.026732 38/1 38/1 1 6 39/1 39/1 1 6 40/1 40/1 1 6 41/1 1/0 1 6 -0.024393 In -0.024636 -0.024150 42/1 42/1 1 6 43/1 43/1 1 6 44/1 44/1 1 6 45/1 1/0 1 6 -0.022224 In -0.022426 -0.022022 46/1 46/1 1 6 47/1 47/1 1 6 48/1 48/1 1 6 49/1 1/0 1 6 -0.020410 In -0.020580 -0.020240 50/1 50/1 1 6 -49/2 -25/1 1 6 0.040853 In 0.040676 0.041031 -47/2 -23/1 1 6 0.042515 In 0.042322 0.042707 -45/2 -23/1 1 6 0.044488 In 0.044278 0.044699 -43/2 -21/1 1 6 0.046466 In 0.046236 0.046696 -41/2 -21/1 1 6 0.048834 In 0.048580 0.049088 -39/2 -19/1 1 6 0.051226 In 0.050947 0.051506 -37/2 -19/1 1 6 0.054119 In 0.053808 0.054431 -35/2 -17/1 1 6 0.057074 In 0.056727 0.057421 -33/2 -17/1 1 6 0.060689 In 0.060296 0.061081 -31/2 -15/1 1 6 0.064429 In 0.063987 0.064871 -29/2 -15/1 1 6 0.069073 In 0.068565 0.069581 -27/2 -13/1 1 6 0.073960 In 0.073377 0.074542 -25/2 -13/1 1 6 0.080145 In 0.079461 0.080829 -23/2 -11/1 1 6 0.086800 In 0.085998 0.087602 -21/2 -11/1 1 6 0.095446 In 0.094475 0.096416 -19/2 -9/1 1 6 0.105036 In 0.103861 0.106211 -17/2 -9/1 1 6 0.117967 In 0.116485 0.119449 -15/2 -7/1 1 6 0.132975 In 0.131092 0.134857 -13/2 -7/1 1 6 0.154404 In 0.151866 0.156942 -11/2 -5/1 1 6 0.181170 In 0.177675 0.184664 -9/2 -5/1 1 6 0.223427 In 0.218114 0.228741 -7/2 -3/1 1 6 0.284211 In 0.275616 0.292805 -5/2 -3/1 1 6 0.404255 In 0.386883 0.421628 -3/2 -1/1 1 6 0.660377 In 0.614161 0.706594 -1/2 -1/1 1 6 2.200000 In 1.710102 2.689898 1/2 1/1 1 6 -2.200000 In -2.689898 -1.710102 3/2 1/1 1 6 -0.660377 In -0.706594 -0.614161 5/2 3/1 1 6 -0.404255 In -0.421628 -0.386883 7/2 3/1 1 6 -0.284211 In -0.292805 -0.275616 9/2 5/1 1 6 -0.223427 In -0.228741 -0.218114 11/2 5/1 1 6 -0.181170 In -0.184664 -0.177675 13/2 7/1 1 6 -0.154404 In -0.156942 -0.151866 15/2 7/1 1 6 -0.132975 In -0.134857 -0.131092 17/2 9/1 1 6 -0.117967 In -0.119449 -0.116485 19/2 9/1 1 6 -0.105036 In -0.106211 -0.103861 21/2 11/1 1 6 -0.095446 In -0.096416 -0.094475 23/2 11/1 1 6 -0.086800 In -0.087602 -0.085998 25/2 13/1 1 6 -0.080145 In -0.080829 -0.079461 27/2 13/1 1 6 -0.073960 In -0.074542 -0.073377 29/2 15/1 1 6 -0.069073 In -0.069581 -0.068565 31/2 15/1 1 6 -0.064429 In -0.064871 -0.063987 33/2 17/1 1 6 -0.060689 In -0.061081 -0.060296 35/2 17/1 1 6 -0.057074 In -0.057421 -0.056727 37/2 19/1 1 6 -0.054119 In -0.054431 -0.053808 39/2 19/1 1 6 -0.051226 In -0.051506 -0.050947 41/2 21/1 1 6 -0.048834 In -0.049088 -0.048580 43/2 21/1 1 6 -0.046466 In -0.046696 -0.046236 45/2 23/1 1 6 -0.044488 In -0.044699 -0.044278 47/2 23/1 1 6 -0.042515 In -0.042707 -0.042322 49/2 25/1 1 6 -0.040853 In -0.041031 -0.040676 -50/3 0 2 -49/3 -16/1 1 2 0.061153 In 0.060842 0.061464 -47/3 -15/1 2 2 0.063508 In 0.062500 0.064516 -46/3 0 2 -44/3 0 2 -43/3 -15/1 2 2 0.070197 In 0.068966 0.071429 -41/3 -14/1 1 2 0.073279 In 0.072832 0.073725 -40/3 0 2 -38/3 0 2 -37/3 -12/1 1 2 0.080956 In 0.080411 0.081501 -35/3 -11/1 2 2 0.085145 In 0.083333 0.086957 -34/3 0 2 -32/3 0 2 -31/3 -11/1 2 2 0.097619 In 0.095238 0.100000 -29/3 -10/1 1 2 0.103666 In 0.102772 0.104560 -28/3 0 2 -26/3 0 2 -25/3 -8/1 1 2 0.119730 In 0.118538 0.120923 -23/3 -7/1 2 2 0.129167 In 0.125000 0.133333 -22/3 0 2 -20/3 0 2 -19/3 -7/1 2 2 0.160256 In 0.153846 0.166667 -17/3 -6/1 1 2 0.177122 In 0.174513 0.179731 -16/3 0 2 -14/3 0 2 -13/3 -4/1 1 2 0.229814 In 0.225422 0.234206 -11/3 -3/1 2 2 0.267857 In 0.250000 0.285714 -10/3 0 2 -8/3 0 2 -7/3 -3/1 2 2 0.450000 In 0.400000 0.500000 -5/3 -2/1 1 2 0.608696 In 0.577952 0.639439 -4/3 0 2 -2/3 0 2 -1/3 0/1 1 2 3.000000 In 2.292893 3.707107 1/3 1/1 2 2 -2.000000 Left 2/3 0 2 4/3 0 2 5/3 1/1 2 2 -0.583333 In -0.666667 -0.500000 7/3 2/1 1 2 -0.425532 In -0.440577 -0.410487 8/3 0 2 10/3 0 2 11/3 4/1 1 2 -0.274336 In -0.280594 -0.268079 13/3 5/1 2 2 -0.236111 In -0.250000 -0.222222 14/3 0 2 16/3 0 2 17/3 5/1 2 2 -0.174242 In -0.181818 -0.166667 19/3 6/1 1 2 -0.157434 In -0.159496 -0.155373 20/3 0 2 22/3 0 2 23/3 8/1 1 2 -0.130785 In -0.132207 -0.129362 25/3 9/1 2 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0.148182 In 0.145941 0.150423 -25/4 -13/2 1 6 0.160290 In 0.158922 0.161658 -23/4 1/0 1 6 0.173968 In 0.170880 0.177056 -21/4 1/0 1 6 0.190548 In 0.186844 0.194253 -19/4 1/0 1 6 0.210624 In 0.206098 0.215149 -17/4 1/0 1 6 0.235430 In 0.229776 0.241084 -15/4 -7/2 1 6 0.265949 In 0.262184 0.269715 -13/4 1/0 1 6 0.307996 In 0.298324 0.317668 -11/4 1/0 1 6 0.364138 In 0.350624 0.377652 -9/4 -5/2 1 6 0.446855 In 0.436228 0.457482 -7/4 1/0 1 6 0.573379 In 0.539939 0.606819 -5/4 1/0 1 6 0.805369 In 0.739611 0.871127 -3/4 1/0 1 6 1.358491 In 1.173623 1.543358 -1/4 1/0 1 6 4.800000 In 2.840408 6.759592 1/4 1/2 1 6 -4.400000 In -5.379796 -3.420204 3/4 1/0 1 6 -1.358491 In -1.543358 -1.173623 5/4 1/0 1 6 -0.805369 In -0.871127 -0.739611 7/4 3/2 1 6 -0.568421 In -0.585610 -0.551232 9/4 1/0 1 6 -0.445361 In -0.465563 -0.425159 11/4 1/0 1 6 -0.364138 In -0.377652 -0.350624 13/4 1/0 1 6 -0.307996 In -0.317668 -0.298324 15/4 1/0 1 6 -0.266864 In -0.274127 -0.259601 17/4 9/2 1 6 -0.235935 In -0.238898 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In 0.115185 0.117394 -42/5 -8/1 1 6 0.119011 In 0.118546 0.119477 -41/5 -9/1 1 6 0.122039 In 0.121060 0.123018 -39/5 -15/2 1 6 0.128075 In 0.127250 0.128901 -38/5 -6/1 1 6 0.131433 In 0.129161 0.133704 -37/5 -7/1 1 6 0.135089 In 0.134489 0.135689 -36/5 -6/1 1 6 0.138760 In 0.136861 0.140659 -34/5 -8/1 1 6 0.147264 In 0.145126 0.149403 -33/5 -7/1 1 6 0.151581 In 0.150825 0.152336 -32/5 -8/1 1 6 0.156579 In 0.153356 0.159802 -31/5 -13/2 1 6 0.161515 In 0.160202 0.162828 -29/5 -5/1 1 6 0.172276 In 0.170325 0.174228 -28/5 -6/1 1 6 0.178663 In 0.177614 0.179713 -27/5 1/0 1 6 0.185228 In 0.182427 0.188028 -26/5 -6/1 1 6 0.192537 In 0.190100 0.194975 -24/5 -4/1 1 6 0.208140 In 0.205291 0.210988 -23/5 1/0 1 6 0.217460 In 0.213600 0.221320 -22/5 -4/1 1 6 0.227147 In 0.225450 0.228843 -21/5 -5/1 1 6 0.238459 In 0.234720 0.242197 -19/5 -7/2 1 6 0.262636 In 0.259165 0.266107 -18/5 -2/1 1 6 0.277320 In 0.267219 0.287421 -17/5 -3/1 1 6 0.293913 In 0.291073 0.296753 -16/5 -2/1 1 6 0.312010 In 0.302417 0.321604 -14/5 -4/1 1 6 0.358621 In 0.345951 0.371290 -13/5 -3/1 1 6 0.385075 In 0.380200 0.389949 -12/5 -4/1 1 6 0.419811 In 0.396703 0.442920 -11/5 -5/2 1 6 0.456491 In 0.446008 0.466974 -9/5 -1/1 1 6 0.554639 In 0.534437 0.574841 -8/5 -2/1 1 6 0.626316 In 0.613424 0.639208 -7/5 1/0 1 6 0.716724 In 0.674923 0.758524 -6/5 -2/1 1 6 0.839623 In 0.793406 0.885839 -4/5 0/1 1 6 1.250000 In 1.147938 1.352062 -3/5 1/0 1 6 1.698113 In 1.467029 1.929197 -2/5 0/1 1 6 2.500000 In 2.295876 2.704124 -1/5 -1/1 1 6 5.800000 In 3.840408 7.759592 1/5 1/2 1 6 -5.600000 In -7.069694 -4.130306 2/5 2/1 1 6 -2.900000 In -3.879796 -1.920204 3/5 1/1 1 6 -1.679245 In -1.771679 -1.586812 4/5 2/1 1 6 -1.282609 In -1.442358 -1.122859 6/5 0/1 1 6 -0.833333 In -0.901375 -0.765292 7/5 1/1 1 6 -0.713311 In -0.730031 -0.696591 8/5 0/1 1 6 -0.625000 In -0.676031 -0.573969 9/5 3/2 1 6 -0.553459 In -0.568865 -0.538054 11/5 3/1 1 6 -0.456067 In -0.469732 -0.442402 12/5 2/1 1 6 -0.416279 In -0.421976 -0.410583 13/5 1/0 1 6 -0.384995 In -0.397085 -0.372905 14/5 2/1 1 6 -0.356655 In -0.365015 -0.348295 16/5 4/1 1 6 -0.313158 In -0.319604 -0.306712 17/5 1/0 1 6 -0.294287 In -0.301355 -0.287220 18/5 4/1 1 6 -0.278008 In -0.280549 -0.275467 19/5 3/1 1 6 -0.262865 In -0.267407 -0.258323 21/5 9/2 1 6 -0.238596 In -0.241461 -0.235732 22/5 6/1 1 6 -0.228033 In -0.234866 -0.221201 23/5 5/1 1 6 -0.217529 In -0.219085 -0.215974 24/5 6/1 1 6 -0.208772 In -0.213069 -0.204475 26/5 4/1 1 6 -0.192079 In -0.195717 -0.188441 27/5 5/1 1 6 -0.185100 In -0.186226 -0.183974 28/5 4/1 1 6 -0.178328 In -0.182508 -0.174148 29/5 11/2 1 6 -0.172183 In -0.173675 -0.170691 31/5 7/1 1 6 -0.161448 In -0.163162 -0.159734 32/5 6/1 1 6 -0.156189 In -0.156991 -0.155387 33/5 1/0 1 6 -0.151538 In -0.153413 -0.149664 34/5 6/1 1 6 -0.146957 In -0.148377 -0.145537 36/5 8/1 1 6 -0.139004 In -0.140275 -0.137734 37/5 1/0 1 6 -0.135152 In -0.136643 -0.133660 38/5 8/1 1 6 -0.131628 In -0.132198 -0.131058 39/5 7/1 1 6 -0.128126 In 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