SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 1/0 3 5 -50/1 -30/1 4 5 0.014607 In 0.004557 0.024656 -49/1 -29/1 3 5 0.016663 In 0.008494 0.024832 -48/1 -28/1 2 5 0.018489 In 0.012134 0.024844 -47/1 1/0 1 5 0.021279 In 0.021076 0.021481 -46/1 0 5 -45/1 1/0 3 5 0.022229 In 0.021846 0.022611 -44/1 0 5 -43/1 1/0 1 5 0.023258 In 0.023016 0.023500 -42/1 -26/1 2 5 0.021157 In 0.014382 0.027932 -41/1 -25/1 3 5 0.019908 In 0.010418 0.029398 -40/1 -24/1 4 5 0.018258 In 0.005696 0.030821 -39/1 -23/1 3 5 0.020937 In 0.010640 0.031234 -38/1 -22/1 2 5 0.023353 In 0.015260 0.031445 -37/1 1/0 1 5 0.027031 In 0.026704 0.027358 -36/1 0 5 -35/1 1/0 3 5 0.028585 In 0.027953 0.029218 -34/1 0 5 -33/1 1/0 1 5 0.030309 In 0.029898 0.030719 -32/1 -20/1 2 5 0.027778 In 0.018994 0.036562 -31/1 -19/1 3 5 0.026330 In 0.013843 0.038817 -30/1 -18/1 4 5 0.024345 In 0.007595 0.041094 -29/1 -17/1 3 5 0.028161 In 0.014237 0.042084 -28/1 -16/1 2 5 0.031690 In 0.020555 0.042825 -27/1 1/0 1 5 0.037047 In 0.036434 0.037661 -26/1 0 5 -25/1 1/0 3 5 0.040038 In 0.038798 0.041279 -24/1 0 5 -23/1 1/0 1 5 0.043495 In 0.042649 0.044340 -22/1 -14/1 2 5 0.040434 In 0.027959 0.052908 -21/1 -13/1 3 5 0.038869 In 0.020622 0.057117 -20/1 -12/1 4 5 0.036517 In 0.011392 0.061641 -19/1 -11/1 3 5 0.042996 In 0.021509 0.064483 -18/1 -10/1 2 5 0.049296 In 0.031480 0.067111 -17/1 1/0 1 5 0.058864 In 0.057316 0.060413 -16/1 0 5 -15/1 1/0 3 5 0.066845 In 0.063393 0.070297 -14/1 0 5 -13/1 1/0 1 5 0.077014 In 0.074365 0.079664 -12/1 -8/1 2 5 0.074324 In 0.052958 0.095691 -11/1 -7/1 3 5 0.074236 In 0.040411 0.108061 -10/1 -6/1 4 5 0.073034 In 0.022785 0.123282 -9/1 -5/1 3 5 0.090909 In 0.043964 0.137854 -8/1 -4/1 2 5 0.111111 In 0.067191 0.155032 -7/1 1/0 1 5 0.143443 In 0.134278 0.152607 -6/1 0 5 -5/1 1/0 3 5 0.204918 In 0.173172 0.236664 -4/1 0 5 -3/1 1/0 1 5 0.340909 In 0.290089 0.391729 -2/1 -2/1 2 5 -1/1 -1/1 3 5 0/1 0/1 4 5 1/1 1/1 3 5 2/1 2/1 2 5 3/1 1/0 1 5 -0.340909 In -0.391729 -0.290089 4/1 0 5 5/1 1/0 3 5 -0.204918 In -0.236664 -0.173172 6/1 0 5 7/1 1/0 1 5 -0.143443 In -0.152607 -0.134278 8/1 4/1 2 5 -0.111111 In -0.155032 -0.067191 9/1 5/1 3 5 -0.090909 In -0.137854 -0.043964 10/1 6/1 4 5 -0.073034 In -0.123282 -0.022785 11/1 7/1 3 5 -0.074236 In -0.108061 -0.040411 12/1 8/1 2 5 -0.074324 In -0.095691 -0.052958 13/1 1/0 1 5 -0.077014 In -0.079664 -0.074365 14/1 0 5 15/1 1/0 3 5 -0.066845 In -0.070297 -0.063393 16/1 0 5 17/1 1/0 1 5 -0.058864 In -0.060413 -0.057316 18/1 10/1 2 5 -0.049296 In -0.067111 -0.031480 19/1 11/1 3 5 -0.042996 In -0.064483 -0.021509 20/1 12/1 4 5 -0.036517 In -0.061641 -0.011392 21/1 13/1 3 5 -0.038869 In -0.057117 -0.020622 22/1 14/1 2 5 -0.040434 In -0.052908 -0.027959 23/1 1/0 1 5 -0.043495 In -0.044340 -0.042649 24/1 0 5 25/1 1/0 3 5 -0.040038 In -0.041279 -0.038798 26/1 0 5 27/1 1/0 1 5 -0.037047 In -0.037661 -0.036434 28/1 16/1 2 5 -0.031690 In -0.042825 -0.020555 29/1 17/1 3 5 -0.028161 In -0.042084 -0.014237 30/1 18/1 4 5 -0.024345 In -0.041094 -0.007595 31/1 19/1 3 5 -0.026330 In -0.038817 -0.013843 32/1 20/1 2 5 -0.027778 In -0.036562 -0.018994 33/1 1/0 1 5 -0.030309 In -0.030719 -0.029898 34/1 0 5 35/1 1/0 3 5 -0.028585 In -0.029218 -0.027953 36/1 0 5 37/1 1/0 1 5 -0.027031 In -0.027358 -0.026704 38/1 22/1 2 5 -0.023353 In -0.031445 -0.015260 39/1 23/1 3 5 -0.020937 In -0.031234 -0.010640 40/1 24/1 4 5 -0.018258 In -0.030821 -0.005696 41/1 25/1 3 5 -0.019908 In -0.029398 -0.010418 42/1 26/1 2 5 -0.021157 In -0.027932 -0.014382 43/1 1/0 1 5 -0.023258 In -0.023500 -0.023016 44/1 0 5 45/1 1/0 3 5 -0.022229 In -0.022611 -0.021846 46/1 0 5 47/1 1/0 1 5 -0.021279 In -0.021481 -0.021076 48/1 28/1 2 5 -0.018489 In -0.024844 -0.012134 49/1 29/1 3 5 -0.016663 In -0.024832 -0.008494 50/1 30/1 4 5 -0.014607 In -0.024656 -0.004557 -49/2 1/0 1 5 0.040820 In 0.040447 0.041192 -47/2 -15/1 1 5 0.042052 In 0.038539 0.045565 -45/2 -15/1 1 5 0.043939 In 0.040551 0.047327 -43/2 -13/1 1 5 0.045945 In 0.041757 0.050134 -41/2 -25/2 1 5 0.046272 In 0.037075 0.055470 -39/2 -23/2 1 5 0.048615 In 0.038503 0.058727 -37/2 -11/1 1 5 0.053391 In 0.048403 0.058379 -35/2 -9/1 1 5 0.056420 In 0.050130 0.062709 -33/2 -9/1 1 5 0.059843 In 0.053590 0.066096 -31/2 1/0 1 5 0.064530 In 0.063599 0.065460 -29/2 1/0 1 5 0.068982 In 0.067918 0.070046 -27/2 -9/1 1 5 0.073232 In 0.067586 0.078879 -25/2 -9/1 1 5 0.079172 In 0.074030 0.084314 -23/2 -7/1 1 5 0.085901 In 0.078149 0.093654 -21/2 -13/2 1 5 0.090373 In 0.072801 0.107946 -19/2 -11/2 1 5 0.099762 In 0.078517 0.121008 -17/2 -5/1 1 5 0.116197 In 0.105174 0.127220 -15/2 -3/1 1 5 0.131720 In 0.113688 0.149753 -13/2 -3/1 1 5 0.151914 In 0.133191 0.170637 -11/2 1/0 1 5 0.182119 In 0.174715 0.189523 -9/2 1/0 1 5 0.222772 In 0.211703 0.233842 -7/2 -3/1 1 5 0.283898 In 0.274423 0.293373 -5/2 -3/1 1 5 0.405172 In 0.385896 0.424449 -3/2 -1/1 1 5 0.659091 In 0.608271 0.709911 -1/2 -1/2 1 5 1/2 1/2 1 5 3/2 1/1 1 5 -0.659091 In -0.709911 -0.608271 5/2 3/1 1 5 -0.405172 In -0.424449 -0.385896 7/2 3/1 1 5 -0.283898 In -0.293373 -0.274423 9/2 1/0 1 5 -0.222772 In -0.233842 -0.211703 11/2 1/0 1 5 -0.182119 In -0.189523 -0.174715 13/2 3/1 1 5 -0.151914 In -0.170637 -0.133191 15/2 3/1 1 5 -0.131720 In -0.149753 -0.113688 17/2 5/1 1 5 -0.116197 In -0.127220 -0.105174 19/2 11/2 1 5 -0.099762 In -0.121008 -0.078517 21/2 13/2 1 5 -0.090373 In -0.107946 -0.072801 23/2 7/1 1 5 -0.085901 In -0.093654 -0.078149 25/2 9/1 1 5 -0.079172 In -0.084314 -0.074030 27/2 9/1 1 5 -0.073232 In -0.078879 -0.067586 29/2 1/0 1 5 -0.068982 In -0.070046 -0.067918 31/2 1/0 1 5 -0.064530 In -0.065460 -0.063599 33/2 9/1 1 5 -0.059843 In -0.066096 -0.053590 35/2 9/1 1 5 -0.056420 In -0.062709 -0.050130 37/2 11/1 1 5 -0.053391 In -0.058379 -0.048403 39/2 23/2 1 5 -0.048615 In -0.058727 -0.038503 41/2 25/2 1 5 -0.046272 In -0.055470 -0.037075 43/2 13/1 1 5 -0.045945 In -0.050134 -0.041757 45/2 15/1 1 5 -0.043939 In -0.047327 -0.040551 47/2 15/1 1 5 -0.042052 In -0.045565 -0.038539 49/2 1/0 1 5 -0.040820 In -0.041192 -0.040447 -50/3 -10/1 2 5 0.059350 In 0.054208 0.064492 -49/3 1/0 1 5 0.061230 In 0.060671 0.061788 -47/3 -9/1 1 5 0.063480 In 0.059402 0.067559 -46/3 -8/1 2 5 0.064485 In 0.057829 0.071141 -44/3 -10/1 2 5 0.067511 In 0.062841 0.072181 -43/3 -9/1 1 5 0.069402 In 0.065498 0.073306 -41/3 1/0 1 5 0.073179 In 0.072381 0.073978 -40/3 -8/1 2 5 0.074187 In 0.067760 0.080614 -38/3 0 5 -37/3 -9/1 1 5 0.080721 In 0.077416 0.084027 -35/3 -7/1 1 5 0.085253 In 0.080101 0.090406 -34/3 -8/1 2 5 0.087403 In 0.081808 0.092998 -32/3 0 5 -31/3 -13/2 1 5 0.094694 In 0.083600 0.105787 -29/3 -11/2 1 5 0.101126 In 0.087438 0.114814 -28/3 0 5 -26/3 -4/1 2 5 0.114098 In 0.100875 0.127321 -25/3 -5/1 1 5 0.119355 In 0.112142 0.126568 -23/3 -3/1 1 5 0.129742 In 0.117866 0.141618 -22/3 0 5 -20/3 -4/1 2 5 0.148374 In 0.135519 0.161229 -19/3 1/0 1 5 0.157982 In 0.154264 0.161701 -17/3 -3/1 1 5 0.175487 In 0.163030 0.187945 -16/3 -2/1 2 5 0.185535 In 0.160674 0.210395 -14/3 -4/1 2 5 0.213080 In 0.206409 0.219752 -13/3 -3/1 1 5 0.229665 In 0.218966 0.240364 -11/3 1/0 1 5 0.273179 In 0.262073 0.284285 -10/3 -2/1 2 5 0.296748 In 0.271038 0.322458 -8/3 0 5 -7/3 -3/1 1 5 0.432203 In 0.413254 0.451153 -5/3 -1/1 1 5 0.596774 In 0.560709 0.632840 -4/3 -2/1 2 5 0.777778 In 0.689937 0.865619 -2/3 0 5 -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 0 5 4/3 2/1 2 5 -0.777778 In -0.865619 -0.689937 5/3 1/1 1 5 -0.596774 In -0.632840 -0.560709 7/3 3/1 1 5 -0.432203 In -0.451153 -0.413254 8/3 0 5 10/3 2/1 2 5 -0.296748 In -0.322458 -0.271038 11/3 1/0 1 5 -0.273179 In -0.284285 -0.262073 13/3 3/1 1 5 -0.229665 In -0.240364 -0.218966 14/3 4/1 2 5 -0.213080 In -0.219752 -0.206409 16/3 2/1 2 5 -0.185535 In -0.210395 -0.160674 17/3 3/1 1 5 -0.175487 In -0.187945 -0.163030 19/3 1/0 1 5 -0.157982 In -0.161701 -0.154264 20/3 4/1 2 5 -0.148374 In -0.161229 -0.135519 22/3 0 5 23/3 3/1 1 5 -0.129742 In -0.141618 -0.117866 25/3 5/1 1 5 -0.119355 In -0.126568 -0.112142 26/3 4/1 2 5 -0.114098 In -0.127321 -0.100875 28/3 0 5 29/3 11/2 1 5 -0.101126 In -0.114814 -0.087438 31/3 13/2 1 5 -0.094694 In -0.105787 -0.083600 32/3 0 5 34/3 8/1 2 5 -0.087403 In -0.092998 -0.081808 35/3 7/1 1 5 -0.085253 In -0.090406 -0.080101 37/3 9/1 1 5 -0.080721 In -0.084027 -0.077416 38/3 0 5 40/3 8/1 2 5 -0.074187 In -0.080614 -0.067760 41/3 1/0 1 5 -0.073179 In -0.073978 -0.072381 43/3 9/1 1 5 -0.069402 In -0.073306 -0.065498 44/3 10/1 2 5 -0.067511 In -0.072181 -0.062841 46/3 8/1 2 5 -0.064485 In -0.071141 -0.057829 47/3 9/1 1 5 -0.063480 In -0.067559 -0.059402 49/3 1/0 1 5 -0.061230 In -0.061788 -0.060671 50/3 10/1 2 5 -0.059350 In -0.064492 -0.054208 -49/4 -9/1 3 5 0.081024 In 0.076743 0.085304 -47/4 -15/2 1 5 0.084104 In 0.077077 0.091130 -45/4 -15/2 3 5 0.085714 In 0.073419 0.098009 -43/4 -13/2 1 5 0.091891 In 0.083514 0.100267 -41/4 -19/3 3 5 0.088637 In 0.063776 0.113498 -39/4 -17/3 3 5 0.093054 In 0.064889 0.121219 -37/4 -11/2 1 5 0.106782 In 0.096805 0.116758 -35/4 -9/2 3 5 0.109827 In 0.087439 0.132214 -33/4 -9/2 1 5 0.119687 In 0.107181 0.132193 -31/4 -3/1 3 5 0.127878 In 0.112477 0.143279 -29/4 -3/1 3 5 0.136668 In 0.120909 0.152427 -27/4 1/0 1 5 0.148189 In 0.145734 0.150643 -25/4 1/0 3 5 0.160154 In 0.155192 0.165116 -23/4 1/0 1 5 0.173979 In 0.170596 0.177362 -21/4 -1/1 3 5 0.189373 In 0.159473 0.219274 -19/4 -5/1 3 5 0.210983 In 0.208744 0.213221 -17/4 1/0 1 5 0.235457 In 0.229263 0.241651 -15/4 1/0 3 5 0.267380 In 0.253572 0.281187 -13/4 1/0 1 5 0.308057 In 0.297459 0.318654 -11/4 -3/1 3 5 0.365052 In 0.358351 0.371753 -9/4 -3/1 3 5 0.452381 In 0.421643 0.483119 -7/4 -3/2 1 5 0.567797 In 0.548847 0.586746 -5/4 -3/2 3 5 0.836735 In 0.757694 0.915775 -3/4 -1/2 1 5 1.318182 In 1.216542 1.419821 -1/4 -1/3 3 5 5.500000 In 3.563508 7.436492 1/4 1/3 3 5 -5.500000 In -7.436492 -3.563508 3/4 1/2 1 5 -1.318182 In -1.419821 -1.216542 5/4 3/2 3 5 -0.836735 In -0.915775 -0.757694 7/4 3/2 1 5 -0.567797 In -0.586746 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0.091092 In 0.060980 0.121205 -48/5 -6/1 2 5 0.103774 In 0.098801 0.108746 -47/5 -5/1 1 5 0.106171 In 0.101707 0.110635 -46/5 -16/3 4 5 0.100251 In 0.073108 0.127395 -44/5 -14/3 4 5 0.104766 In 0.073598 0.135934 -43/5 -5/1 1 5 0.116052 In 0.111687 0.120417 -42/5 -4/1 2 5 0.118571 In 0.110654 0.126487 -41/5 -9/2 3 5 0.118966 In 0.101409 0.136523 -39/5 -7/2 3 5 0.125101 In 0.102770 0.147431 -38/5 -4/1 2 5 0.131052 In 0.123133 0.138971 -37/5 -3/1 1 5 0.134874 In 0.127678 0.142070 -36/5 -2/1 4 5 0.137995 In 0.120007 0.155983 -34/5 -4/1 4 5 0.145906 In 0.134953 0.156860 -33/5 -3/1 1 5 0.151214 In 0.143810 0.158618 -32/5 -2/1 2 5 0.155712 In 0.142103 0.169321 -31/5 1/0 3 5 0.161391 In 0.157358 0.165424 -29/5 1/0 3 5 0.172537 In 0.167928 0.177145 -28/5 -2/1 2 5 0.177914 In 0.163364 0.192464 -27/5 -3/1 1 5 0.184818 In 0.177439 0.192198 -26/5 0/1 4 5 0.192308 In 0.157907 0.226709 -24/5 -6/1 4 5 0.210526 In 0.200719 0.220334 -23/5 -3/1 1 5 0.216995 In 0.210209 0.223782 -22/5 -4/1 2 5 0.226968 In 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