SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 3 -50/1 0 6 -49/1 1/1 1 6 0.020479 In 0.011977 0.028981 -48/1 0 6 -47/1 1/0 1 6 0.021278 In 0.021093 0.021463 -46/1 1/0 1 6 0.021741 In 0.021548 0.021934 -45/1 0/1 2 6 0.022222 In 0.009392 0.035052 -44/1 0 6 -43/1 1/1 1 6 0.023348 In 0.013632 0.033064 -42/1 0 6 -41/1 1/0 1 6 0.024393 In 0.024150 0.024636 -40/1 1/0 1 6 0.025003 In 0.024747 0.025258 -39/1 0/1 2 6 0.025641 In 0.010837 0.040445 -38/1 0 6 -37/1 1/1 1 6 0.027152 In 0.015819 0.038485 -36/1 0 6 -35/1 1/0 1 6 0.028575 In 0.028242 0.028909 -34/1 1/0 1 6 0.029416 In 0.029063 0.029769 -33/1 0/1 2 6 0.030303 In 0.012808 0.047798 -32/1 0 6 -31/1 1/1 1 6 0.032437 In 0.018841 0.046034 -30/1 0 6 -29/1 1/0 1 6 0.034490 In 0.034004 0.034975 -28/1 1/0 1 6 0.035722 In 0.035201 0.036243 -27/1 0/1 2 6 0.037037 In 0.015654 0.058420 -26/1 0 6 -25/1 1/1 1 6 0.040277 In 0.023290 0.057265 -24/1 0 6 -23/1 1/0 1 6 0.043492 In 0.042720 0.044264 -22/1 1/0 1 6 0.045470 In 0.044626 0.046314 -21/1 0/1 2 6 0.047619 In 0.020126 0.075112 -20/1 0 6 -19/1 1/1 1 6 0.053118 In 0.030490 0.075746 -18/1 0 6 -17/1 1/0 1 6 0.058857 In 0.057444 0.060271 -16/1 1/0 1 6 0.062541 In 0.060945 0.064136 -15/1 0/1 2 6 0.066667 In 0.028177 0.105157 -14/1 0 6 -13/1 1/1 1 6 0.077986 In 0.044133 0.111839 -12/1 0 6 -11/1 1/0 1 6 0.091034 In 0.087656 0.094413 -10/1 1/0 1 6 0.100167 In 0.096078 0.104256 -9/1 0/1 2 6 0.111111 In 0.046961 0.175261 -8/1 0 6 -7/1 1/1 1 6 0.146758 In 0.079877 0.213638 -6/1 0 6 -5/1 1/0 1 6 0.201342 In 0.184903 0.217782 -4/1 1/0 1 6 0.252632 In 0.226847 0.278416 -3/1 0/1 2 6 0.333333 In 0.140883 0.525783 -2/1 0 6 -1/1 1/1 1 6 1.400000 In 0.420204 2.379796 0/1 0 6 1/1 1/0 1 6 -1.200000 In -1.689898 -0.710102 2/1 1/0 1 6 -0.521739 In -0.628239 -0.415240 3/1 0/1 2 6 -0.333333 In -0.525783 -0.140883 4/1 0 6 5/1 1/1 1 6 -0.194631 In -0.260389 -0.128873 6/1 0 6 7/1 1/0 1 6 -0.143345 In -0.151705 -0.134985 8/1 1/0 1 6 -0.125326 In -0.131722 -0.118931 9/1 0/1 2 6 -0.111111 In -0.175261 -0.046961 10/1 0 6 11/1 1/1 1 6 -0.089655 In -0.123441 -0.055869 12/1 0 6 13/1 1/0 1 6 -0.076999 In -0.079417 -0.074581 14/1 1/0 1 6 -0.071489 In -0.073574 -0.069405 15/1 0/1 2 6 -0.066667 In -0.105157 -0.028177 16/1 0 6 17/1 1/1 1 6 -0.058280 In -0.080895 -0.035665 18/1 0 6 19/1 1/0 1 6 -0.052656 In -0.053787 -0.051524 20/1 1/0 1 6 -0.050021 In -0.051042 -0.049000 21/1 0/1 2 6 -0.047619 In -0.075112 -0.020126 22/1 0 6 23/1 1/1 1 6 -0.043177 In -0.060160 -0.026193 24/1 0 6 25/1 1/0 1 6 -0.040011 In -0.040664 -0.039357 26/1 1/0 1 6 -0.038471 In -0.039075 -0.037867 27/1 0/1 2 6 -0.037037 In -0.058420 -0.015654 28/1 0 6 29/1 1/1 1 6 -0.034291 In -0.047886 -0.020697 30/1 0 6 31/1 1/0 1 6 -0.032264 In -0.032689 -0.031839 32/1 1/0 1 6 -0.031255 In -0.031654 -0.030856 33/1 0/1 2 6 -0.030303 In -0.047798 -0.012808 34/1 0 6 35/1 1/1 1 6 -0.028439 In -0.039772 -0.017107 36/1 0 6 37/1 1/0 1 6 -0.027030 In -0.027329 -0.026732 38/1 1/0 1 6 -0.026319 In -0.026602 -0.026036 39/1 0/1 2 6 -0.025641 In -0.040445 -0.010837 40/1 0 6 41/1 1/1 1 6 -0.024294 In -0.034009 -0.014578 42/1 0 6 43/1 1/0 1 6 -0.023258 In -0.023479 -0.023037 44/1 1/0 1 6 -0.022729 In -0.022940 -0.022518 45/1 0/1 2 6 -0.022222 In -0.035052 -0.009392 46/1 0 6 47/1 1/1 1 6 -0.021203 In -0.029705 -0.012701 48/1 0 6 49/1 1/0 1 6 -0.020410 In -0.020580 -0.020240 50/1 1/0 1 6 -0.020001 In -0.020165 -0.019838 -49/2 1/1 2 3 0.041105 In 0.023757 0.058454 -47/2 0 3 -45/2 0/1 1 3 0.044444 In 0.031614 0.057274 -43/2 1/0 1 3 0.046520 In 0.045895 0.047145 -41/2 0/1 1 3 0.048780 In 0.034699 0.062862 -39/2 0/1 3 3 0.051282 In 0.025641 0.076923 -37/2 1/1 2 3 0.054568 In 0.031296 0.077839 -35/2 0 3 -33/2 0/1 1 3 0.060606 In 0.043111 0.078102 -31/2 1/0 1 3 0.064539 In 0.063337 0.065740 -29/2 0/1 1 3 0.068966 In 0.049057 0.088874 -27/2 0/1 3 3 0.074074 In 0.037037 0.111111 -25/2 1/1 2 3 0.081153 In 0.045843 0.116464 -23/2 0 3 -21/2 0/1 1 3 0.095238 In 0.067745 0.122731 -19/2 1/0 1 3 0.105360 In 0.102159 0.108562 -17/2 0/1 1 3 0.117647 In 0.083685 0.151609 -15/2 0/1 3 3 0.133333 In 0.066667 0.200000 -13/2 1/1 2 3 0.158416 In 0.085659 0.231173 -11/2 0 3 -9/2 0/1 1 3 0.222222 In 0.158072 0.286372 -7/2 1/0 1 3 0.287671 In 0.263945 0.311398 -5/2 0/1 1 3 0.400000 In 0.284530 0.515470 -3/2 0/1 3 3 0.666667 In 0.333333 1.000000 -1/2 1/1 2 3 8.000000 In 0.651531 15.348469 1/2 0 3 3/2 0/1 1 3 -0.666667 In -0.859117 -0.474217 5/2 1/0 1 3 -0.405405 In -0.452218 -0.358593 7/2 0/1 1 3 -0.285714 In -0.368193 -0.203236 9/2 0/1 3 3 -0.222222 In -0.333333 -0.111111 11/2 1/1 2 3 -0.177285 In -0.238353 -0.116218 13/2 0 3 15/2 0/1 1 3 -0.133333 In -0.171823 -0.094843 17/2 1/0 1 3 -0.117783 In -0.121783 -0.113783 19/2 0/1 1 3 -0.105263 In -0.135650 -0.074876 21/2 0/1 3 3 -0.095238 In -0.142857 -0.047619 23/2 1/1 2 3 -0.085804 In -0.118258 -0.053351 25/2 0 3 27/2 0/1 1 3 -0.074074 In -0.095457 -0.052691 29/2 1/0 1 3 -0.068993 In -0.070366 -0.067619 31/2 0/1 1 3 -0.064516 In -0.083140 -0.045892 33/2 0/1 3 3 -0.060606 In -0.090909 -0.030303 35/2 1/1 2 3 -0.056629 In -0.078637 -0.034622 37/2 0 3 39/2 0/1 1 3 -0.051282 In -0.066086 -0.036478 41/2 1/0 1 3 -0.048790 In -0.049477 -0.048103 43/2 0/1 1 3 -0.046512 In -0.059938 -0.033085 45/2 0/1 3 3 -0.044444 In -0.066667 -0.022222 47/2 1/1 2 3 -0.042264 In -0.058902 -0.025626 49/2 0 3 -50/3 1/0 1 6 0.060004 In 0.059514 0.060494 -49/3 1/1 1 6 0.061298 In 0.052456 0.070140 -47/3 1/1 1 6 0.063910 In 0.054669 0.073151 -46/3 1/0 1 6 0.065223 In 0.064644 0.065801 -44/3 1/0 1 6 0.068188 In 0.067555 0.068820 -43/3 1/1 1 6 0.069864 In 0.059706 0.080021 -41/3 -1/1 1 6 0.073079 In 0.063849 0.082308 -40/3 1/2 1 6 0.075216 In 0.054036 0.096396 -38/3 1/2 1 6 0.079187 In 0.056850 0.101525 -37/3 1/1 1 6 0.081213 In 0.069283 0.093143 -35/3 1/1 1 6 0.085862 In 0.073196 0.098528 -34/3 1/0 1 6 0.088248 In 0.087188 0.089308 -32/3 1/0 1 6 0.093765 In 0.092569 0.094961 -31/3 1/1 1 6 0.096964 In 0.082518 0.111411 -29/3 1/1 1 6 0.103667 In 0.088130 0.119204 -28/3 1/0 1 6 0.107166 In 0.105603 0.108728 -26/3 1/0 1 6 0.115413 In 0.113601 0.117225 -25/3 1/1 1 6 0.120299 In 0.102004 0.138593 -23/3 -1/1 1 6 0.130161 In 0.114721 0.145600 -22/3 1/2 1 6 0.137100 In 0.097442 0.176757 -20/3 1/2 1 6 0.150896 In 0.106991 0.194801 -19/3 1/1 1 6 0.158430 In 0.133539 0.183320 -17/3 1/1 1 6 0.177149 In 0.148881 0.205418 -16/3 1/0 1 6 0.187622 In 0.182835 0.192409 -14/3 1/0 1 6 0.214468 In 0.208214 0.220722 -13/3 1/1 1 6 0.231984 In 0.193295 0.270673 -11/3 1/1 1 6 0.274483 In 0.227182 0.321783 -10/3 1/0 1 6 0.300501 In 0.288233 0.312769 -8/3 1/0 1 6 0.375979 In 0.356793 0.395166 -7/3 1/1 1 6 0.433447 In 0.349847 0.517047 -5/3 -1/1 1 6 0.597315 In 0.564436 0.630194 -4/3 1/2 1 6 0.778947 In 0.495322 1.062572 -2/3 1/2 1 6 1.652174 In 0.906677 2.397671 -1/3 1/1 1 6 3.800000 In 1.840408 5.759592 1/3 1/1 1 6 -3.400000 In -4.379796 -2.420204 2/3 1/0 1 6 -1.565217 In -1.884716 -1.245719 4/3 1/0 1 6 -0.757895 In -0.835247 -0.680542 5/3 1/1 1 6 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38/3 1/0 1 6 -0.078956 In -0.079805 -0.078108 40/3 1/0 1 6 -0.075008 In -0.075773 -0.074242 41/3 1/1 1 6 -0.073079 In -0.082308 -0.063849 43/3 1/1 1 6 -0.069684 In -0.078516 -0.060851 44/3 1/0 1 6 -0.068188 In -0.068820 -0.067555 46/3 1/0 1 6 -0.065223 In -0.065801 -0.064644 47/3 1/1 1 6 -0.063759 In -0.071891 -0.055627 49/3 -1/1 1 6 -0.061298 In -0.070140 -0.052456 50/3 1/2 1 6 -0.059871 In -0.075712 -0.044030 -49/4 1/1 3 3 0.082083 In 0.060000 0.104167 -47/4 1/1 2 3 0.085434 In 0.066578 0.104290 -45/4 2/1 1 3 0.089277 In 0.074156 0.104398 -43/4 1/0 3 3 0.093074 In 0.090909 0.095238 -41/4 1/0 1 3 0.097580 In 0.096206 0.098954 -39/4 0/1 3 3 0.102564 In 0.076923 0.128205 -37/4 -1/1 3 3 0.107456 In 0.083333 0.131579 -35/4 1/1 2 3 0.114892 In 0.088884 0.140901 -33/4 0/1 1 3 0.121212 In 0.103717 0.138708 -31/4 1/0 3 3 0.129167 In 0.125000 0.133333 -29/4 1/2 1 3 0.138779 In 0.096199 0.181359 -27/4 0/1 3 3 0.148148 In 0.111111 0.185185 -25/4 1/1 3 3 0.161859 In 0.115385 0.208333 -23/4 1/1 2 3 0.175394 In 0.133668 0.217121 -21/4 2/1 1 3 0.192570 In 0.154489 0.230652 -19/4 1/0 3 3 0.211111 In 0.200000 0.222222 -17/4 1/0 1 3 0.235566 In 0.227566 0.243566 -15/4 0/1 3 3 0.266667 In 0.200000 0.333333 -13/4 -1/1 3 3 0.303571 In 0.250000 0.357143 -11/4 1/1 2 3 0.371191 In 0.269412 0.472970 -9/4 0/1 1 3 0.444444 In 0.380294 0.508594 -7/4 1/0 3 3 0.583333 In 0.500000 0.666667 -5/4 1/2 1 3 0.837838 In 0.510153 1.165523 -3/4 0/1 3 3 1.333333 In 1.000000 1.666667 -1/4 1/1 3 3 1.500000 Right 1/4 1/1 2 3 -10.000000 In -17.348469 -2.651531 3/4 2/1 1 3 -1.478261 In -1.854794 -1.101728 5/4 1/0 3 3 -0.833333 In -1.000000 -0.666667 7/4 1/0 1 3 -0.575342 In -0.622796 -0.527889 9/4 0/1 3 3 -0.444444 In -0.555556 -0.333333 11/4 -1/1 3 3 -0.375000 In -0.500000 -0.250000 13/4 1/1 2 3 -0.304950 In -0.348605 -0.261296 15/4 0/1 1 3 -0.266667 In -0.305157 -0.228177 17/4 1/0 3 3 -0.236111 In -0.250000 -0.222222 19/4 1/2 1 3 -0.208872 In -0.263299 -0.154446 21/4 0/1 3 3 -0.190476 In -0.238095 -0.142857 23/4 1/1 3 3 -0.172348 In -0.208333 -0.136364 25/4 1/1 2 3 -0.159103 In -0.186567 -0.131639 27/4 2/1 1 3 -0.147503 In -0.162579 -0.132428 29/4 1/0 3 3 -0.138095 In -0.142857 -0.133333 31/4 1/0 1 3 -0.129077 In -0.131481 -0.126673 33/4 0/1 3 3 -0.121212 In -0.151515 -0.090909 35/4 -1/1 3 3 -0.115196 In -0.147059 -0.083333 37/4 1/1 2 3 -0.107674 In -0.127365 -0.087982 39/4 0/1 1 3 -0.102564 In -0.117368 -0.087760 41/4 1/0 3 3 -0.097619 In -0.100000 -0.095238 43/4 1/2 1 3 -0.092679 In -0.118289 -0.067070 45/4 0/1 3 3 -0.088889 In -0.111111 -0.066667 47/4 1/1 3 3 -0.084692 In -0.104167 -0.065217 49/4 1/1 2 3 -0.081378 In -0.096685 -0.066070 -49/5 -1/2 1 6 0.101909 In 0.086095 0.117723 -48/5 0 6 -47/5 -1/1 1 6 0.106316 In 0.098553 0.114078 -46/5 0 6 -44/5 1/2 1 6 0.113818 In 0.094206 0.133431 -43/5 1/0 1 6 0.116290 In 0.115185 0.117394 -42/5 0 6 -41/5 1/1 1 6 0.122062 In 0.110890 0.133235 -39/5 2/1 2 6 0.128756 In 0.110140 0.147372 -38/5 -1/2 1 6 0.131363 In 0.111288 0.151439 -37/5 1/4 1 6 0.135639 In 0.090007 0.181270 -36/5 0 6 -34/5 0 6 -33/5 2/3 2 6 0.153540 In 0.095681 0.211399 -32/5 1/0 1 6 0.156275 In 0.154282 0.158269 -31/5 1/0 1 6 0.161318 In 0.159194 0.163443 -29/5 1/1 1 6 0.172646 In 0.156138 0.189154 -28/5 0 6 -27/5 2/1 2 6 0.186441 In 0.157084 0.215797 -26/5 1/0 1 6 0.192355 In 0.189335 0.195375 -24/5 0 6 -23/5 -1/1 1 6 0.217145 In 0.203249 0.231040 -22/5 0 6 -21/5 0/1 2 6 0.238095 In 0.210602 0.265588 -19/5 -1/2 1 6 0.262356 In 0.225019 0.299692 -18/5 0 6 -17/5 -1/1 1 6 0.293710 In 0.276749 0.310672 -16/5 0 6 -14/5 1/2 1 6 0.359149 In 0.290355 0.427943 -13/5 1/0 1 6 0.384995 In 0.372905 0.397085 -12/5 0 6 -11/5 1/1 1 6 0.456552 In 0.402494 0.510609 -9/5 2/1 2 6 0.573222 In 0.435527 0.710916 -8/5 -1/2 1 6 0.621410 In 0.551059 0.691761 -7/5 1/4 1 6 0.730375 In 0.454494 1.006257 -6/5 0 6 -4/5 0 6 -3/5 2/3 2 6 2.217391 In 0.786567 3.648216 -2/5 1/0 1 6 2.608696 In 2.076198 3.141193 -1/5 1/0 1 6 6.000000 In 3.550510 8.449490 1/5 1/1 1 6 -5.800000 In -7.759592 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