SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 1/0 1 1 -50/1 0 18 -49/1 -49/1 1 18 -48/1 0 18 -47/1 -47/1 1 18 -46/1 0 18 -45/1 -45/1 1 18 -44/1 0 18 -43/1 -43/1 1 18 -42/1 0 18 -41/1 -41/1 1 18 -40/1 0 18 -39/1 -39/1 1 18 -38/1 0 18 -37/1 -37/1 1 18 -36/1 0 18 -35/1 -35/1 1 18 -34/1 0 18 -33/1 -33/1 1 18 -32/1 0 18 -31/1 -31/1 1 18 -30/1 0 18 -29/1 -29/1 1 18 -28/1 0 18 -27/1 -27/1 1 18 -26/1 0 18 -25/1 -25/1 1 18 -24/1 0 18 -23/1 -23/1 1 18 -22/1 0 18 -21/1 -21/1 1 18 -20/1 0 18 -19/1 -19/1 1 18 -18/1 0 18 -17/1 -17/1 1 18 -16/1 0 18 -15/1 -15/1 1 18 -14/1 0 18 -13/1 -13/1 1 18 -12/1 0 18 -11/1 -11/1 1 18 -10/1 0 18 -9/1 -9/1 1 18 -8/1 0 18 -7/1 -7/1 1 18 -6/1 0 18 -5/1 -5/1 1 18 -4/1 0 18 -3/1 -3/1 1 18 -2/1 0 18 -1/1 -1/1 1 18 0/1 0 18 1/1 1/1 1 18 2/1 0 18 3/1 3/1 1 18 4/1 0 18 5/1 5/1 1 18 6/1 0 18 7/1 7/1 1 18 8/1 0 18 9/1 9/1 1 18 10/1 0 18 11/1 11/1 1 18 12/1 0 18 13/1 13/1 1 18 14/1 0 18 15/1 15/1 1 18 16/1 0 18 17/1 17/1 1 18 18/1 0 18 19/1 19/1 1 18 20/1 0 18 21/1 21/1 1 18 22/1 0 18 23/1 23/1 1 18 24/1 0 18 25/1 25/1 1 18 26/1 0 18 27/1 27/1 1 18 28/1 0 18 29/1 29/1 1 18 30/1 0 18 31/1 31/1 1 18 32/1 0 18 33/1 33/1 1 18 34/1 0 18 35/1 35/1 1 18 36/1 0 18 37/1 37/1 1 18 38/1 0 18 39/1 39/1 1 18 40/1 0 18 41/1 41/1 1 18 42/1 0 18 43/1 43/1 1 18 44/1 0 18 45/1 45/1 1 18 46/1 0 18 47/1 47/1 1 18 48/1 0 18 49/1 49/1 1 18 50/1 0 18 -49/2 -25/1 1 9 0.040841 In 0.040698 0.040984 -47/2 -23/1 1 9 0.042528 In 0.042373 0.042683 -45/2 -23/1 1 9 0.044473 In 0.044304 0.044643 -43/2 -21/1 1 9 0.046481 In 0.046296 0.046667 -41/2 -21/1 1 9 0.048815 In 0.048611 0.049020 -39/2 -19/1 1 9 0.051245 In 0.051020 0.051471 -37/2 -19/1 1 9 0.054097 In 0.053846 0.054348 -35/2 -17/1 1 9 0.057098 In 0.056818 0.057377 -33/2 -17/1 1 9 0.060660 In 0.060345 0.060976 -31/2 -15/1 1 9 0.064459 In 0.064103 0.064815 -29/2 -15/1 1 9 0.069036 In 0.068627 0.069444 -27/2 -13/1 1 9 0.073999 In 0.073529 0.074468 -25/2 -13/1 1 9 0.080095 In 0.079545 0.080645 -23/2 -11/1 1 9 0.086853 In 0.086207 0.087500 -21/2 -11/1 1 9 0.095374 In 0.094595 0.096154 -19/2 -9/1 1 9 0.105114 In 0.104167 0.106061 -17/2 -9/1 1 9 0.117857 In 0.116667 0.119048 -15/2 -7/1 1 9 0.133097 In 0.131579 0.134615 -13/2 -7/1 1 9 0.154212 In 0.152174 0.156250 -11/2 -5/1 1 9 0.181391 In 0.178571 0.184211 -9/2 -5/1 1 9 0.223011 In 0.218750 0.227273 -7/2 -3/1 1 9 0.284722 In 0.277778 0.291667 -5/2 -3/1 1 9 0.402778 In 0.388889 0.416667 -3/2 -1/1 1 9 0.662500 In 0.625000 0.700000 -1/2 -1/1 1 9 2.125000 In 1.750000 2.500000 1/2 1/1 1 9 -2.125000 In -2.500000 -1.750000 3/2 1/1 1 9 -0.662500 In -0.700000 -0.625000 5/2 3/1 1 9 -0.402778 In -0.416667 -0.388889 7/2 3/1 1 9 -0.284722 In -0.291667 -0.277778 9/2 5/1 1 9 -0.223011 In -0.227273 -0.218750 11/2 5/1 1 9 -0.181391 In -0.184211 -0.178571 13/2 7/1 1 9 -0.154212 In -0.156250 -0.152174 15/2 7/1 1 9 -0.133097 In -0.134615 -0.131579 17/2 9/1 1 9 -0.117857 In -0.119048 -0.116667 19/2 9/1 1 9 -0.105114 In -0.106061 -0.104167 21/2 11/1 1 9 -0.095374 In -0.096154 -0.094595 23/2 11/1 1 9 -0.086853 In -0.087500 -0.086207 25/2 13/1 1 9 -0.080095 In -0.080645 -0.079545 27/2 13/1 1 9 -0.073999 In -0.074468 -0.073529 29/2 15/1 1 9 -0.069036 In -0.069444 -0.068627 31/2 15/1 1 9 -0.064459 In -0.064815 -0.064103 33/2 17/1 1 9 -0.060660 In -0.060976 -0.060345 35/2 17/1 1 9 -0.057098 In -0.057377 -0.056818 37/2 19/1 1 9 -0.054097 In -0.054348 -0.053846 39/2 19/1 1 9 -0.051245 In -0.051471 -0.051020 41/2 21/1 1 9 -0.048815 In -0.049020 -0.048611 43/2 21/1 1 9 -0.046481 In -0.046667 -0.046296 45/2 23/1 1 9 -0.044473 In -0.044643 -0.044304 47/2 23/1 1 9 -0.042528 In -0.042683 -0.042373 49/2 25/1 1 9 -0.040841 In -0.040984 -0.040698 -50/3 0 6 -49/3 -17/1 1 6 0.061274 In 0.060927 0.061621 -47/3 -15/1 1 6 0.063781 In 0.063405 0.064157 -46/3 0 6 -44/3 0 6 -43/3 -15/1 1 6 0.069832 In 0.069381 0.070282 -41/3 -13/1 1 6 0.073107 In 0.072613 0.073601 -40/3 0 6 -38/3 0 6 -37/3 -13/1 1 6 0.081168 In 0.080559 0.081777 -35/3 -11/1 1 6 0.085627 In 0.084950 0.086305 -34/3 0 6 -32/3 0 6 -31/3 -11/1 1 6 0.096900 In 0.096032 0.097768 -29/3 -9/1 1 6 0.103323 In 0.102337 0.104310 -28/3 0 6 -26/3 0 6 -25/3 -9/1 1 6 0.120196 In 0.118861 0.121531 -23/3 -7/1 1 6 0.130240 In 0.128672 0.131808 -22/3 0 6 -20/3 0 6 -19/3 -7/1 1 6 0.158243 In 0.155929 0.160557 -17/3 -5/1 1 6 0.176126 In 0.173260 0.178993 -16/3 0 6 -14/3 0 6 -13/3 -5/1 1 6 0.231547 In 0.226594 0.236500 -11/3 -3/1 1 6 0.271967 In 0.265134 0.278799 -10/3 0 6 -8/3 0 6 -7/3 -3/1 1 6 0.431579 In 0.414390 0.448768 -5/3 -1/1 1 6 0.597315 In 0.564436 0.630194 -4/3 0 6 -2/3 0 6 -1/3 -1/1 1 6 3.400000 In 2.420204 4.379796 1/3 1/1 1 6 -3.400000 In -4.379796 -2.420204 2/3 0 6 4/3 0 6 5/3 1/1 1 6 -0.597315 In -0.630194 -0.564436 7/3 3/1 1 6 -0.431579 In -0.448768 -0.414390 8/3 0 6 10/3 0 6 11/3 3/1 1 6 -0.271967 In -0.278799 -0.265134 13/3 5/1 1 6 -0.231547 In -0.236500 -0.226594 14/3 0 6 16/3 0 6 17/3 5/1 1 6 -0.176126 In -0.178993 -0.173260 19/3 7/1 1 6 -0.158243 In -0.160557 -0.155929 20/3 0 6 22/3 0 6 23/3 7/1 1 6 -0.130240 In -0.131808 -0.128672 25/3 9/1 1 6 -0.120196 In -0.121531 -0.118861 26/3 0 6 28/3 0 6 29/3 9/1 1 6 -0.103323 In -0.104310 -0.102337 31/3 11/1 1 6 -0.096900 In -0.097768 -0.096032 32/3 0 6 34/3 0 6 35/3 11/1 1 6 -0.085627 In -0.086305 -0.084950 37/3 13/1 1 6 -0.081168 In -0.081777 -0.080559 38/3 0 6 40/3 0 6 41/3 13/1 1 6 -0.073107 In -0.073601 -0.072613 43/3 15/1 1 6 -0.069832 In -0.070282 -0.069381 44/3 0 6 46/3 0 6 47/3 15/1 1 6 -0.063781 In -0.064157 -0.063405 49/3 17/1 1 6 -0.061274 In -0.061621 -0.060927 50/3 0 6 -49/4 -13/1 1 9 0.081670 In 0.081250 0.082090 -47/4 -11/1 1 9 0.085071 In 0.084615 0.085526 -45/4 -11/1 1 9 0.088875 In 0.088710 0.089041 -43/4 -11/1 1 9 0.093039 In 0.092857 0.093220 -41/4 -11/1 1 9 0.097615 In 0.097015 0.098214 -39/4 -9/1 1 9 0.102513 In 0.101852 0.103175 -37/4 -9/1 1 9 0.108088 In 0.107843 0.108333 -35/4 -9/1 1 9 0.114309 In 0.114035 0.114583 -33/4 -9/1 1 9 0.121296 In 0.120370 0.122222 -31/4 -7/1 1 9 0.128953 In 0.127907 0.130000 -29/4 -7/1 1 9 0.137899 In 0.137500 0.138298 -27/4 -7/1 1 9 0.148188 In 0.147727 0.148649 -25/4 -7/1 1 9 0.160151 In 0.158537 0.161765 -23/4 -5/1 1 9 0.173775 In 0.171875 0.175676 -21/4 -5/1 1 9 0.190416 In 0.189655 0.191176 -19/4 -5/1 1 9 0.210608 In 0.209677 0.211538 -17/4 -5/1 1 9 0.235637 In 0.232143 0.239130 -15/4 -3/1 1 9 0.266369 In 0.261905 0.270833 -13/4 -3/1 1 9 0.307540 In 0.305556 0.309524 -11/4 -3/1 1 9 0.363889 In 0.361111 0.366667 -9/4 -3/1 1 9 0.445833 In 0.433333 0.458333 -7/4 -1/1 1 9 0.570455 In 0.550000 0.590909 -5/4 -1/1 1 9 0.799107 In 0.785714 0.812500 -3/4 -1/1 1 9 1.337500 In 1.300000 1.375000 -1/4 -1/1 1 9 4.375000 In 3.250000 5.500000 1/4 1/1 1 9 -4.375000 In -5.500000 -3.250000 3/4 1/1 1 9 -1.337500 In -1.375000 -1.300000 5/4 1/1 1 9 -0.799107 In -0.812500 -0.785714 7/4 1/1 1 9 -0.570455 In -0.590909 -0.550000 9/4 3/1 1 9 -0.445833 In -0.458333 -0.433333 11/4 3/1 1 9 -0.363889 In -0.366667 -0.361111 13/4 3/1 1 9 -0.307540 In 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0.116372 In 0.114836 0.117907 -42/5 0 18 -41/5 -7/1 1 18 0.121917 In 0.121075 0.122760 -39/5 -9/1 1 18 0.128256 In 0.127323 0.129188 -38/5 0 18 -37/5 -5/1 1 18 0.135069 In 0.133001 0.137137 -36/5 0 18 -34/5 0 18 -33/5 -9/1 1 18 0.151683 In 0.149075 0.154291 -32/5 0 18 -31/5 -5/1 1 18 0.161234 In 0.159761 0.162708 -29/5 -7/1 1 18 0.172510 In 0.170823 0.174197 -28/5 0 18 -27/5 -3/1 1 18 0.185084 In 0.181201 0.188966 -26/5 0 18 -24/5 0 18 -23/5 -7/1 1 18 0.217777 In 0.212402 0.223151 -22/5 0 18 -21/5 -3/1 1 18 0.237987 In 0.234777 0.241198 -19/5 -5/1 1 18 0.263402 In 0.259469 0.267334 -18/5 0 18 -17/5 -1/1 1 18 0.293982 In 0.284193 0.303771 -16/5 0 18 -14/5 0 18 -13/5 -5/1 1 18 0.386145 In 0.369270 0.403020 -12/5 0 18 -11/5 -1/1 1 18 0.454295 In 0.442602 0.465988 -9/5 -3/1 1 18 0.556936 In 0.539368 0.574504 -8/5 0 18 -7/5 1/1 1 18 0.716232 In 0.658443 0.774020 -6/5 0 18 -4/5 0 18 -3/5 -3/1 1 18 1.745098 In 1.412342 2.077854 -2/5 0 18 -1/5 1/1 1 18 5.352941 In 3.855539 6.850344 1/5 -1/1 1 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44/5 0 18 46/5 0 18 47/5 7/1 1 18 -0.106338 In -0.107620 -0.105056 48/5 0 18 49/5 11/1 1 18 -0.102072 In -0.102663 -0.101481 -49/6 0 3 -47/6 0 3 -43/6 0 3 -41/6 0 3 -37/6 0 3 -35/6 0 3 -31/6 0 3 -29/6 0 3 -25/6 0 3 -23/6 0 3 -19/6 0 3 -17/6 0 3 -13/6 0 3 -11/6 0 3 -7/6 0 3 -5/6 0 3 -1/6 0 3 1/6 0 3 5/6 0 3 7/6 0 3 11/6 0 3 13/6 0 3 17/6 0 3 19/6 0 3 23/6 0 3 25/6 0 3 29/6 0 3 31/6 0 3 35/6 0 3 37/6 0 3 41/6 0 3 43/6 0 3 47/6 0 3 49/6 0 3 -50/7 0 18 -48/7 0 18 -47/7 -9/1 1 18 0.149013 In 0.147303 0.150724 -46/7 0 18 -45/7 -5/1 1 18 0.155525 In 0.154360 0.156690 -44/7 0 18 -43/7 -7/1 1 18 0.162820 In 0.162054 0.163586 -41/7 -5/1 1 18 0.170708 In 0.169866 0.171549 -40/7 0 18 -39/7 -7/1 1 18 0.179553 In 0.178000 0.181105 -38/7 0 18 -37/7 -3/1 1 18 0.189137 In 0.186381 0.191892 -36/7 0 18 -34/7 0 18 -33/7 -7/1 1 18 0.212295 In 0.208823 0.215766 -32/7 0 18 -31/7 -3/1 1 18 0.225750 In 0.223297 0.228204 -30/7 0 18 -29/7 -5/1 1 18 0.241448 In 0.239763 0.243132 -27/7 -3/1 1 18 0.259208 In 0.257267 0.261150 -26/7 0 18 -25/7 -5/1 1 18 0.280178 In 0.276399 0.283958 -24/7 0 18 -23/7 -1/1 1 18 0.304275 In 0.297145 0.311405 -22/7 0 18 -20/7 0 18 -19/7 -5/1 1 18 0.369072 In 0.358585 0.379559 -18/7 0 18 -17/7 -1/1 1 18 0.411652 In 0.403494 0.419809 -16/7 0 18 -15/7 -3/1 1 18 0.466964 In 0.460664 0.473263 -13/7 -1/1 1 18 0.538310 In 0.529939 0.546681 -12/7 0 18 -11/7 -3/1 1 18 0.637621 In 0.618061 0.657181 -10/7 0 18 -9/7 1/1 1 18 0.778998 In 0.732408 0.825588 -8/7 0 18 -6/7 0 18 -5/7 -3/1 1 18 1.421769 In 1.267841 1.575697 -4/7 0 18 -3/7 1/1 1 18 2.354037 In 2.090519 2.617555 -2/7 0 18 -1/7 -1/1 1 18 7.352941 In 5.855539 8.850344 1/7 1/1 1 18 -7.352941 In -8.850344 -5.855539 2/7 0 18 3/7 -1/1 1 18 -2.354037 In -2.617555 -2.090519 4/7 0 18 5/7 3/1 1 18 -1.421769 In -1.575697 -1.267841 6/7 0 18 8/7 0 18 9/7 -1/1 1 18 -0.778998 In -0.825588 -0.732408 10/7 0 18 11/7 3/1 1 18 -0.637621 In -0.657181 -0.618061 12/7 0 18 13/7 1/1 1 18 -0.538310 In -0.546681 -0.529939 15/7 3/1 1 18 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