SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 6 -50/1 0 6 -49/1 1/2 1 6 0.020548 In 0.003714 0.037383 -48/1 1/1 1 2 0.021055 In 0.006013 0.036096 -47/1 0/1 1 6 0.021277 In 0.012590 0.029963 -46/1 0 6 -45/1 1/2 1 2 0.022722 In -0.009062 0.054506 -44/1 1/1 1 6 0.022815 In 0.013325 0.032305 -43/1 2/3 1 6 0.023805 In -0.005129 0.052740 -42/1 1/1 3 2 0.024681 In -0.005199 0.054561 -41/1 1/0 1 6 0.024393 In 0.024150 0.024636 -40/1 1/1 1 6 0.025107 In 0.014644 0.035569 -39/1 0/1 1 2 0.025641 In 0.007510 0.043772 -38/1 0 6 -37/1 1/2 1 6 0.027274 In 0.004905 0.049642 -36/1 1/1 1 2 0.028174 In 0.007979 0.048370 -35/1 0/1 1 6 0.028571 In 0.016907 0.040236 -34/1 0 6 -33/1 1/2 1 2 0.031236 In -0.012289 0.074760 -32/1 1/1 1 6 0.031418 In 0.018259 0.044576 -31/1 2/3 1 6 0.033322 In -0.007064 0.073707 -30/1 1/1 3 2 0.035058 In -0.007198 0.077315 -29/1 1/0 1 6 0.034490 In 0.034004 0.034975 -28/1 1/1 1 6 0.035935 In 0.020830 0.051039 -27/1 0/1 1 2 0.037037 In 0.010848 0.063226 -26/1 0 6 -25/1 1/2 1 6 0.040544 In 0.007222 0.073866 -24/1 1/1 1 2 0.042572 In 0.011855 0.073289 -23/1 0/1 1 6 0.043478 In 0.025728 0.061228 -22/1 0 6 -21/1 1/2 1 2 0.049943 In -0.019082 0.118968 -20/1 1/1 1 6 0.050438 In 0.028996 0.071880 -19/1 2/3 1 6 0.055504 In -0.011341 0.122350 -18/1 1/1 3 2 0.060465 In -0.011690 0.132621 -17/1 1/0 1 6 0.058857 In 0.057444 0.060271 -16/1 1/1 1 6 0.063192 In 0.036064 0.090320 -15/1 0/1 1 2 0.066667 In 0.019526 0.113807 -14/1 0 6 -13/1 1/2 1 6 0.078973 In 0.013686 0.144261 -12/1 1/1 1 2 0.087108 In 0.023050 0.151166 -11/1 0/1 1 6 0.090909 In 0.053796 0.128023 -10/1 0 6 -9/1 1/2 1 2 0.124224 In -0.042671 0.291118 -8/1 1/1 1 6 0.127937 In 0.070378 0.185497 -7/1 2/3 1 6 0.165517 In -0.028753 0.359787 -6/1 1/1 3 2 0.217391 In -0.031108 0.465890 -5/1 1/0 1 6 0.201342 In 0.184903 0.217782 -4/1 1/1 1 6 0.263158 In 0.134237 0.392078 -3/1 0/1 1 2 0.333333 In 0.097631 0.569036 -2/1 0 6 -1/1 1/2 1 6 1.600000 In 0.130306 3.069694 0/1 1/1 1 2 -1.000000 Out -2.414214 0.414214 1/1 0/1 1 6 -1.000000 In -1.408248 -0.591752 2/1 0 6 3/1 1/2 1 2 -0.235294 In -0.651239 0.180651 4/1 1/1 1 6 -0.242105 In -0.319458 -0.164753 5/1 2/3 1 6 -0.164384 In -0.382489 0.053722 6/1 1/1 3 2 -0.130435 In -0.307934 0.047064 7/1 1/0 1 6 -0.143345 In -0.151705 -0.134985 8/1 1/1 1 6 -0.122715 In -0.167484 -0.077947 9/1 0/1 1 2 -0.111111 In -0.189679 -0.032544 10/1 0 6 11/1 1/2 1 6 -0.088276 In -0.159227 -0.017325 12/1 1/1 1 2 -0.080139 In -0.134343 -0.025936 13/1 0/1 1 6 -0.076923 In -0.108327 -0.045519 14/1 0 6 15/1 1/2 1 2 -0.062361 In -0.153702 0.028980 16/1 1/1 1 6 -0.061889 In -0.085826 -0.037953 17/1 2/3 1 6 -0.055491 In -0.124870 0.013887 18/1 1/1 3 2 -0.051163 In -0.115723 0.013397 19/1 1/0 1 6 -0.052656 In -0.053787 -0.051524 20/1 1/1 1 6 -0.049604 In -0.069004 -0.030204 21/1 0/1 1 2 -0.047619 In -0.081291 -0.013947 22/1 0 6 23/1 1/2 1 6 -0.042862 In -0.077601 -0.008123 24/1 1/1 1 2 -0.040834 In -0.069094 -0.012574 25/1 0/1 1 6 -0.040000 In -0.056330 -0.023670 26/1 0 6 27/1 1/2 1 2 -0.035690 In -0.087133 0.015754 28/1 1/1 1 6 -0.035509 In -0.049572 -0.021447 29/1 2/3 1 6 -0.033320 In -0.074615 0.007974 30/1 1/1 3 2 -0.031720 In -0.071249 0.007810 31/1 1/0 1 6 -0.032264 In -0.032689 -0.031839 32/1 1/1 1 6 -0.031092 In -0.043453 -0.018731 33/1 0/1 1 2 -0.030303 In -0.051731 -0.008876 34/1 0 6 35/1 1/2 1 6 -0.028303 In -0.051302 -0.005305 36/1 1/1 1 2 -0.027403 In -0.046506 -0.008299 37/1 0/1 1 6 -0.027027 In -0.038061 -0.015993 38/1 0 6 39/1 1/2 1 2 -0.024992 In -0.060801 0.010817 40/1 1/1 1 6 -0.024898 In -0.034851 -0.014946 41/1 2/3 1 6 -0.023805 In -0.053203 0.005593 42/1 1/1 3 2 -0.022979 In -0.051469 0.005512 43/1 1/0 1 6 -0.023258 In -0.023479 -0.023037 44/1 1/1 1 6 -0.022643 In -0.031711 -0.013575 45/1 0/1 1 2 -0.022222 In -0.037936 -0.006509 46/1 0 6 47/1 1/2 1 6 -0.021127 In -0.038316 -0.003939 48/1 1/1 1 2 -0.020621 In -0.035048 -0.006193 49/1 0/1 1 6 -0.020408 In -0.028740 -0.012077 50/1 0 6 -49/2 0 6 -47/2 0 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47/2 0 6 49/2 0 6 -50/3 0 6 -49/3 0/1 1 6 0.061224 In 0.052893 0.069556 -47/3 1/0 1 6 0.063835 In 0.063280 0.064389 -46/3 0 6 -44/3 1/3 1 6 0.068446 In 0.039976 0.096916 -43/3 1/2 1 6 0.069954 In 0.050302 0.089606 -41/3 0/1 1 6 0.073171 In 0.063213 0.083128 -40/3 1/1 1 6 0.075112 In 0.064139 0.086085 -38/3 0 6 -37/3 2/3 1 6 0.081851 In 0.046944 0.116759 -35/3 1/0 1 6 0.085726 In 0.084726 0.086726 -34/3 0 6 -32/3 1/1 1 6 0.093928 In 0.079972 0.107884 -31/3 1/2 1 6 0.097138 In 0.069520 0.124756 -29/3 0/1 1 6 0.103448 In 0.089371 0.117526 -28/3 1/3 1 6 0.107804 In 0.062491 0.153116 -26/3 0 6 -25/3 2/3 1 6 0.121730 In 0.068764 0.174695 -23/3 1/2 1 6 0.131106 In 0.093279 0.168933 -22/3 0 6 -20/3 1/1 1 6 0.150479 In 0.126995 0.173963 -19/3 5/6 1 6 0.173751 In 0.026163 0.321338 -17/3 4/3 1 6 0.185099 In 0.095275 0.274923 -16/3 1/1 1 6 0.188274 In 0.157954 0.218593 -14/3 0 6 -13/3 0/1 1 6 0.230769 In 0.199366 0.262173 -11/3 1/0 1 6 0.273103 In 0.262968 0.283239 -10/3 0 6 -8/3 1/3 1 6 0.383812 In 0.211133 0.556491 -7/3 1/2 1 6 0.436860 In 0.294740 0.578981 -5/3 0/1 1 6 0.600000 In 0.518350 0.681650 -4/3 1/1 1 6 0.768421 In 0.587932 0.948910 -2/3 0 6 -1/3 2/3 1 6 12.000000 In 0.977296 23.022704 1/3 1/0 1 6 -3.600000 In -5.069694 -2.130306 2/3 0 6 4/3 1/1 1 6 -0.747368 In -0.773153 -0.721584 5/3 1/2 1 6 -0.590604 In -0.705681 -0.475527 7/3 0/1 1 6 -0.428571 In -0.486893 -0.370250 8/3 1/3 1 6 -0.368146 In -0.502452 -0.233840 10/3 0 6 11/3 2/3 1 6 -0.265928 In -0.357529 -0.174327 13/3 1/2 1 6 -0.229023 In -0.284638 -0.173407 14/3 0 6 16/3 1/1 1 6 -0.186971 In -0.207716 -0.166226 17/3 5/6 1 6 -0.161498 In -0.286194 -0.036802 19/3 4/3 1 6 -0.153488 In -0.204757 -0.102220 20/3 1/1 1 6 -0.149646 In -0.167003 -0.132288 22/3 0 6 23/3 0/1 1 6 -0.130435 In -0.148185 -0.112685 25/3 1/0 1 6 -0.120032 In -0.121992 -0.118072 26/3 0 6 28/3 1/3 1 6 -0.106528 In -0.148715 -0.064340 29/3 1/2 1 6 -0.103072 In -0.129776 -0.076368 31/3 0/1 1 6 -0.096774 In -0.109943 -0.083605 32/3 1/1 1 6 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0.080059 0.284960 -28/5 1/1 1 6 0.178822 In 0.161634 0.196010 -27/5 2/1 1 2 0.187070 In 0.151083 0.223058 -26/5 0 6 -24/5 0 2 -23/5 0/1 1 6 0.217391 In 0.199641 0.235141 -22/5 0 6 -21/5 1/2 1 2 0.240636 In 0.165190 0.316082 -19/5 2/1 1 6 0.264570 In 0.231714 0.297426 -18/5 0 2 -17/5 1/0 1 6 0.294287 In 0.287220 0.301355 -16/5 -1/1 1 6 0.312052 In 0.294499 0.329605 -14/5 0 6 -13/5 1/2 1 6 0.386969 In 0.312010 0.461929 -12/5 0 2 -11/5 0/1 1 6 0.454545 In 0.417432 0.491659 -9/5 1/2 1 2 0.571429 In 0.369398 0.773459 -8/5 1/3 1 6 0.634465 In 0.448994 0.819935 -7/5 2/3 1 6 0.744828 In 0.482986 1.006670 -6/5 0 2 -4/5 1/1 1 6 1.273684 In 1.041627 1.505741 -3/5 2/3 1 2 2.571429 In 0.652139 4.490718 -2/5 0 6 -1/5 3/4 1 6 -14.000000 Out -29.513435 1.513435 1/5 2/1 1 6 -14.000000 In -25.022704 -2.977296 2/5 0 6 3/5 1/0 1 2 -1.764706 In -2.180651 -1.348761 4/5 1/1 1 6 -1.252632 In -1.278416 -1.226847 6/5 0 2 7/5 1/0 1 6 -0.716724 In -0.758524 -0.674923 8/5 1/3 1 6 -0.618799 In -0.740314 -0.497284 9/5 0/1 1 2 -0.555556 In -0.634123 -0.476988 11/5 1/2 1 6 -0.452414 In -0.509850 -0.394977 12/5 0 2 13/5 0/1 1 6 -0.384615 In -0.416019 -0.353212 14/5 0 6 16/5 3/5 1 6 -0.304519 In -0.408786 -0.200251 17/5 2/3 1 6 -0.291329 In -0.349381 -0.233278 18/5 0 2 19/5 3/4 1 6 -0.258693 In -0.327964 -0.189421 21/5 0/1 1 2 -0.238095 In -0.271767 -0.204423 22/5 0 6 23/5 1/2 1 6 -0.216829 In -0.248481 -0.185178 24/5 0 2 26/5 0 6 27/5 3/4 1 2 -0.178054 In -0.268821 -0.087287 28/5 1/1 1 6 -0.178397 In -0.190376 -0.166418 29/5 8/9 1 6 -0.160177 In -0.268835 -0.051518 31/5 7/6 1 6 -0.155326 In -0.220023 -0.090629 32/5 1/1 1 6 -0.156113 In -0.166879 -0.145347 33/5 2/1 1 2 -0.150874 In -0.165836 -0.135912 34/5 0 6 36/5 0 2 37/5 0/1 1 6 -0.135135 In -0.146169 -0.124101 38/5 0 6 39/5 1/2 1 2 -0.127590 In -0.161538 -0.093641 41/5 2/1 1 6 -0.121801 In -0.129333 -0.114270 42/5 0 2 43/5 1/0 1 6 -0.116290 In -0.117394 -0.115185 44/5 -1/1 1 6 -0.113732 In -0.124066 -0.103399 46/5 0 6 47/5 1/2 1 6 -0.106240 In 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