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 0 6 -47/3 0 6 -46/3 0 6 -44/3 0 6 -43/3 0 6 -41/3 0 6 -40/3 0 6 -38/3 0 6 -37/3 0 6 -35/3 0 6 -34/3 0 6 -32/3 0 6 -31/3 0 6 -29/3 0 6 -28/3 0 6 -26/3 0 6 -25/3 0 6 -23/3 0 6 -22/3 0 6 -20/3 0 6 -19/3 0 6 -17/3 0 6 -16/3 0 6 -14/3 0 6 -13/3 0 6 -11/3 0 6 -10/3 0 6 -8/3 0 6 -7/3 0 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0.185714 0.196429 -19/4 -3/1 1 9 0.210185 In 0.203704 0.216667 -17/4 -3/1 1 9 0.234954 In 0.229167 0.240741 -15/4 -5/1 1 9 0.267500 In 0.260000 0.275000 -13/4 -5/1 1 9 0.309492 In 0.295455 0.323529 -11/4 -1/1 1 9 0.363051 In 0.343750 0.382353 -9/4 -1/1 1 9 0.443681 In 0.423077 0.464286 -7/4 -3/1 1 9 0.576389 In 0.541667 0.611111 -5/4 -3/1 1 9 0.819444 In 0.722222 0.916667 -3/4 1/1 1 9 1.362500 In 1.100000 1.625000 -1/4 1/1 1 9 4.625000 In 2.750000 6.500000 1/4 -1/1 1 9 -4.625000 In -6.500000 -2.750000 3/4 -1/1 1 9 -1.362500 In -1.625000 -1.100000 5/4 3/1 1 9 -0.819444 In -0.916667 -0.722222 7/4 3/1 1 9 -0.576389 In -0.611111 -0.541667 9/4 1/1 1 9 -0.443681 In -0.464286 -0.423077 11/4 1/1 1 9 -0.363051 In -0.382353 -0.343750 13/4 5/1 1 9 -0.309492 In -0.323529 -0.295455 15/4 5/1 1 9 -0.267500 In -0.275000 -0.260000 17/4 3/1 1 9 -0.234954 In -0.240741 -0.229167 19/4 3/1 1 9 -0.210185 In -0.216667 -0.203704 21/4 7/1 1 9 -0.191071 In -0.196429 -0.185714 23/4 7/1 1 9 -0.174236 In -0.177419 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0.151103 0.151971 -32/5 0 18 -31/5 -7/1 1 18 0.161343 In 0.160359 0.162327 -29/5 -5/1 1 18 0.172368 In 0.171245 0.173491 -28/5 0 18 -27/5 -5/1 1 18 0.185157 In 0.184509 0.185805 -26/5 0 18 -24/5 0 18 -23/5 -5/1 1 18 0.217437 In 0.216544 0.218331 -22/5 0 18 -21/5 -5/1 1 18 0.238216 In 0.236071 0.240360 -19/5 -3/1 1 18 0.263061 In 0.260445 0.265676 -18/5 0 18 -17/5 -3/1 1 18 0.294050 In 0.292416 0.295684 -16/5 0 18 -14/5 0 18 -13/5 -3/1 1 18 0.384768 In 0.381970 0.387565 -12/5 0 18 -11/5 -3/1 1 18 0.455048 In 0.447224 0.462873 -9/5 -1/1 1 18 0.555251 In 0.543603 0.566898 -8/5 0 18 -7/5 -1/1 1 18 0.713961 In 0.704330 0.723593 -6/5 0 18 -4/5 0 18 -3/5 -1/1 1 18 1.670807 In 1.618104 1.723511 -2/5 0 18 -1/5 -1/1 1 18 5.235294 In 4.237026 6.233563 1/5 1/1 1 18 -5.235294 In -6.233563 -4.237026 2/5 0 18 3/5 1/1 1 18 -1.670807 In -1.723511 -1.618104 4/5 0 18 6/5 0 18 7/5 1/1 1 18 -0.713961 In -0.723593 -0.704330 8/5 0 18 9/5 1/1 1 18 -0.555251 In -0.566898 -0.543603 11/5 3/1 1 18 -0.455048 In 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0 3 -35/6 0 3 -31/6 -5/1 1 3 0.193492 In 0.192886 0.194098 -29/6 -5/1 1 3 0.206966 In 0.206272 0.207659 -25/6 0 3 -23/6 0 3 -19/6 -3/1 1 3 0.315642 In 0.314030 0.317255 -17/6 -3/1 1 3 0.353147 In 0.351128 0.355166 -13/6 0 3 -11/6 0 3 -7/6 -1/1 1 3 0.856164 In 0.844301 0.868028 -5/6 -1/1 1 3 1.202703 In 1.179297 1.226109 -1/6 0 3 1/6 0 3 5/6 1/1 1 3 -1.202703 In -1.226109 -1.179297 7/6 1/1 1 3 -0.856164 In -0.868028 -0.844301 11/6 0 3 13/6 0 3 17/6 3/1 1 3 -0.353147 In -0.355166 -0.351128 19/6 3/1 1 3 -0.315642 In -0.317255 -0.314030 23/6 0 3 25/6 0 3 29/6 5/1 1 3 -0.206966 In -0.207659 -0.206272 31/6 5/1 1 3 -0.193492 In -0.194098 -0.192886 35/6 0 3 37/6 0 3 41/6 7/1 1 3 -0.146376 In -0.146722 -0.146029 43/6 7/1 1 3 -0.139505 In -0.139820 -0.139190 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 -0.466964 In -0.473263 -0.460664 16/7 0 18 17/7 1/1 1 18 -0.411652 In -0.419809 -0.403494 18/7 0 18 19/7 5/1 1 18 -0.369072 In -0.379559 -0.358585 20/7 0 18 22/7 0 18 23/7 1/1 1 18 -0.304275 In -0.311405 -0.297145 24/7 0 18 25/7 5/1 1 18 -0.280178 In -0.283958 -0.276399 26/7 0 18 27/7 3/1 1 18 -0.259208 In -0.261150 -0.257267 29/7 5/1 1 18 -0.241448 In -0.243132 -0.239763 30/7 0 18 31/7 3/1 1 18 -0.225750 In -0.228204 -0.223297 32/7 0 18 33/7 7/1 1 18 -0.212295 In -0.215766 -0.208823 34/7 0 18 36/7 0 18 37/7 3/1 1 18 -0.189137 In -0.191892 -0.186381 38/7 0 18 39/7 7/1 1 18 -0.179553 In -0.181105 -0.178000 40/7 0 18 41/7 5/1 1 18 -0.170708 In -0.171549 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