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 -50/1 1 38 -49/1 0 38 -48/1 -48/1 1 38 -47/1 0 38 -46/1 -46/1 1 38 -45/1 0 38 -44/1 -44/1 1 38 -43/1 0 38 -42/1 -42/1 1 38 -41/1 0 38 -40/1 -40/1 1 38 -39/1 0 38 -38/1 -38/1 1 38 -37/1 0 38 -36/1 -36/1 1 38 -35/1 0 38 -34/1 -34/1 1 38 -33/1 0 38 -32/1 -32/1 1 38 -31/1 0 38 -30/1 -30/1 1 38 -29/1 0 38 -28/1 -28/1 1 38 -27/1 0 38 -26/1 -26/1 1 38 -25/1 0 38 -24/1 -24/1 1 38 -23/1 0 38 -22/1 -22/1 1 38 -21/1 0 38 -20/1 -20/1 1 38 -19/1 0 38 -18/1 -18/1 1 38 -17/1 0 38 -16/1 -16/1 1 38 -15/1 0 38 -14/1 -14/1 1 38 -13/1 0 38 -12/1 -12/1 1 38 -11/1 0 38 -10/1 -10/1 1 38 -9/1 0 38 -8/1 -8/1 1 38 -7/1 0 38 -6/1 -6/1 1 38 -5/1 0 38 -4/1 -4/1 1 38 -3/1 0 38 -2/1 -2/1 1 38 -1/1 0 38 0/1 0/1 1 38 1/1 0 38 2/1 2/1 1 38 3/1 0 38 4/1 4/1 1 38 5/1 0 38 6/1 6/1 1 38 7/1 0 38 8/1 8/1 1 38 9/1 0 38 10/1 10/1 1 38 11/1 0 38 12/1 12/1 1 38 13/1 0 38 14/1 14/1 1 38 15/1 0 38 16/1 16/1 1 38 17/1 0 38 18/1 18/1 1 38 19/1 0 38 20/1 20/1 1 38 21/1 0 38 22/1 22/1 1 38 23/1 0 38 24/1 24/1 1 38 25/1 0 38 26/1 26/1 1 38 27/1 0 38 28/1 28/1 1 38 29/1 0 38 30/1 30/1 1 38 31/1 0 38 32/1 32/1 1 38 33/1 0 38 34/1 34/1 1 38 35/1 0 38 36/1 36/1 1 38 37/1 0 38 38/1 38/1 1 38 39/1 0 38 40/1 40/1 1 38 41/1 0 38 42/1 42/1 1 38 43/1 0 38 44/1 44/1 1 38 45/1 0 38 46/1 46/1 1 38 47/1 0 38 48/1 48/1 1 38 49/1 0 38 50/1 50/1 1 38 -49/2 -25/1 1 19 0.040828 In 0.040731 0.040925 -47/2 -23/1 1 19 0.042541 In 0.042436 0.042647 -45/2 -23/1 1 19 0.044458 In 0.044343 0.044573 -43/2 -21/1 1 19 0.046498 In 0.046372 0.046623 -41/2 -21/1 1 19 0.048797 In 0.048658 0.048935 -39/2 -19/1 1 19 0.051265 In 0.051112 0.051418 -37/2 -19/1 1 19 0.054074 In 0.053904 0.054244 -35/2 -17/1 1 19 0.057122 In 0.056932 0.057311 -33/2 -17/1 1 19 0.060631 In 0.060418 0.060845 -31/2 -15/1 1 19 0.064489 In 0.064248 0.064731 -29/2 -15/1 1 19 0.068998 In 0.068722 0.069275 -27/2 -13/1 1 19 0.074039 In 0.073720 0.074357 -25/2 -13/1 1 19 0.080044 In 0.079672 0.080417 -23/2 -11/1 1 19 0.086908 In 0.086469 0.087347 -21/2 -11/1 1 19 0.095302 In 0.094774 0.095829 -19/2 -9/1 1 19 0.105193 In 0.104550 0.105836 -17/2 -9/1 1 19 0.117745 In 0.116939 0.118551 -15/2 -7/1 1 19 0.133223 In 0.132191 0.134254 -13/2 -7/1 1 19 0.154016 In 0.152638 0.155395 -11/2 -5/1 1 19 0.181618 In 0.179701 0.183535 -9/2 -5/1 1 19 0.222589 In 0.219710 0.225468 -7/2 -3/1 1 19 0.285249 In 0.280522 0.289977 -5/2 -3/1 1 19 0.401288 In 0.391934 0.410641 -3/2 -1/1 1 19 0.664706 In 0.639065 0.690346 -1/2 -1/1 1 19 2.055556 In 1.813395 2.297717 1/2 1/1 1 19 -2.055556 In -2.297717 -1.813395 3/2 1/1 1 19 -0.664706 In -0.690346 -0.639065 5/2 3/1 1 19 -0.401288 In -0.410641 -0.391934 7/2 3/1 1 19 -0.285249 In -0.289977 -0.280522 9/2 5/1 1 19 -0.222589 In -0.225468 -0.219710 11/2 5/1 1 19 -0.181618 In -0.183535 -0.179701 13/2 7/1 1 19 -0.154016 In -0.155395 -0.152638 15/2 7/1 1 19 -0.133223 In -0.134254 -0.132191 17/2 9/1 1 19 -0.117745 In -0.118551 -0.116939 19/2 9/1 1 19 -0.105193 In -0.105836 -0.104550 21/2 11/1 1 19 -0.095302 In -0.095829 -0.094774 23/2 11/1 1 19 -0.086908 In -0.087347 -0.086469 25/2 13/1 1 19 -0.080044 In -0.080417 -0.079672 27/2 13/1 1 19 -0.074039 In -0.074357 -0.073720 29/2 15/1 1 19 -0.068998 In -0.069275 -0.068722 31/2 15/1 1 19 -0.064489 In -0.064731 -0.064248 33/2 17/1 1 19 -0.060631 In -0.060845 -0.060418 35/2 17/1 1 19 -0.057122 In -0.057311 -0.056932 37/2 19/1 1 19 -0.054074 In -0.054244 -0.053904 39/2 19/1 1 19 -0.051265 In -0.051418 -0.051112 41/2 21/1 1 19 -0.048797 In -0.048935 -0.048658 43/2 21/1 1 19 -0.046498 In -0.046623 -0.046372 45/2 23/1 1 19 -0.044458 In -0.044573 -0.044343 47/2 23/1 1 19 -0.042541 In -0.042647 -0.042436 49/2 25/1 1 19 -0.040828 In -0.040925 -0.040731 -50/3 -18/1 1 38 0.060015 In 0.059755 0.060276 -49/3 0 38 -47/3 0 38 -46/3 -14/1 1 38 0.065202 In 0.064895 0.065510 -44/3 -16/1 1 38 0.068202 In 0.067865 0.068538 -43/3 0 38 -41/3 0 38 -40/3 -12/1 1 38 0.074980 In 0.074574 0.075387 -38/3 -14/1 1 38 0.078974 In 0.078523 0.079425 -37/3 0 38 -35/3 0 38 -34/3 -10/1 1 38 0.088208 In 0.087646 0.088771 -32/3 -12/1 1 38 0.093789 In 0.093153 0.094425 -31/3 0 38 -29/3 0 38 -28/3 -8/1 1 38 0.107104 In 0.106275 0.107934 -26/3 -10/1 1 38 0.115445 In 0.114481 0.116408 -25/3 0 38 -23/3 0 38 -22/3 -6/1 1 38 0.136304 In 0.134961 0.137648 -20/3 -8/1 1 38 0.150106 In 0.148477 0.151735 -19/3 0 38 -17/3 0 38 -16/3 -4/1 1 38 0.187397 In 0.184858 0.189936 -14/3 -6/1 1 38 0.214517 In 0.211190 0.217844 -13/3 0 38 -11/3 0 38 -10/3 -2/1 1 38 0.299789 In 0.293294 0.306285 -8/3 -4/1 1 38 0.375828 In 0.365622 0.386034 -7/3 0 38 -5/3 0 38 -4/3 0/1 1 38 0.750000 In 0.709445 0.790555 -2/3 -2/1 1 38 1.527027 In 1.360421 1.693633 -1/3 0 38 1/3 0 38 2/3 2/1 1 38 -1.527027 In -1.693633 -1.360421 4/3 0/1 1 38 -0.750000 In -0.790555 -0.709445 5/3 0 38 7/3 0 38 8/3 4/1 1 38 -0.375828 In -0.386034 -0.365622 10/3 2/1 1 38 -0.299789 In -0.306285 -0.293294 11/3 0 38 13/3 0 38 14/3 6/1 1 38 -0.214517 In 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1 19 0.108112 In 0.107442 0.108783 -35/4 1/0 1 19 0.114291 In 0.113541 0.115040 -33/4 -17/2 1 19 0.121263 In 0.120835 0.121690 -31/4 -15/2 1 19 0.128979 In 0.128495 0.129462 -29/4 1/0 1 19 0.137940 In 0.136848 0.139031 -27/4 1/0 1 19 0.148159 In 0.146900 0.149418 -25/4 -13/2 1 19 0.160089 In 0.159344 0.160834 -23/4 -11/2 1 19 0.173817 In 0.172939 0.174695 -21/4 1/0 1 19 0.190499 In 0.188418 0.192580 -19/4 1/0 1 19 0.210557 In 0.208015 0.213099 -17/4 -9/2 1 19 0.235490 In 0.233878 0.237101 -15/4 -7/2 1 19 0.266446 In 0.264383 0.268509 -13/4 1/0 1 19 0.307788 In 0.302357 0.313220 -11/4 1/0 1 19 0.363795 In 0.356207 0.371382 -9/4 -5/2 1 19 0.445178 In 0.439420 0.450936 -7/4 -3/2 1 19 0.570499 In 0.561044 0.579954 -5/4 1/0 1 19 0.801688 In 0.764904 0.838472 -3/4 1/0 1 19 1.341176 In 1.238614 1.443739 -1/4 -1/2 1 19 4.111111 In 3.626789 4.595433 1/4 1/2 1 19 -4.111111 In -4.595433 -3.626789 3/4 1/0 1 19 -1.341176 In -1.443739 -1.238614 5/4 1/0 1 19 -0.801688 In -0.838472 -0.764904 7/4 3/2 1 19 -0.570499 In -0.579954 -0.561044 9/4 5/2 1 19 -0.445178 In -0.450936 -0.439420 11/4 1/0 1 19 -0.363795 In -0.371382 -0.356207 13/4 1/0 1 19 -0.307788 In -0.313220 -0.302357 15/4 7/2 1 19 -0.266446 In -0.268509 -0.264383 17/4 9/2 1 19 -0.235490 In -0.237101 -0.233878 19/4 1/0 1 19 -0.210557 In -0.213099 -0.208015 21/4 1/0 1 19 -0.190499 In -0.192580 -0.188418 23/4 11/2 1 19 -0.173817 In -0.174695 -0.172939 25/4 13/2 1 19 -0.160089 In -0.160834 -0.159344 27/4 1/0 1 19 -0.148159 In -0.149418 -0.146900 29/4 1/0 1 19 -0.137940 In -0.139031 -0.136848 31/4 15/2 1 19 -0.128979 In -0.129462 -0.128495 33/4 17/2 1 19 -0.121263 In -0.121690 -0.120835 35/4 1/0 1 19 -0.114291 In -0.115040 -0.113541 37/4 1/0 1 19 -0.108112 In -0.108783 -0.107442 39/4 19/2 1 19 -0.102530 In -0.102835 -0.102224 41/4 21/2 1 19 -0.097593 In -0.097870 -0.097317 43/4 1/0 1 19 -0.093026 In -0.093522 -0.092530 45/4 1/0 1 19 -0.088891 In -0.089344 -0.088438 47/4 23/2 1 19 -0.085083 In -0.085293 -0.084872 49/4 25/2 1 19 -0.081655 In -0.081849 -0.081462 -49/5 0 38 -48/5 -10/1 1 38 0.104171 In 0.104030 0.104312 -47/5 0 38 -46/5 -8/1 1 38 0.108683 In 0.108222 0.109143 -44/5 -10/1 1 38 0.113655 In 0.113151 0.114158 -43/5 0 38 -42/5 -8/1 1 38 0.119042 In 0.118858 0.119226 -41/5 0 38 -39/5 0 38 -38/5 -8/1 1 38 0.131587 In 0.131362 0.131812 -37/5 0 38 -36/5 -6/1 1 38 0.138869 In 0.138117 0.139620 -34/5 -8/1 1 38 0.147091 In 0.146248 0.147934 -33/5 0 38 -32/5 -6/1 1 38 0.156240 In 0.155923 0.156557 -31/5 0 38 -29/5 0 38 -28/5 -6/1 1 38 0.178586 In 0.178172 0.179000 -27/5 0 38 -26/5 -4/1 1 38 0.192272 In 0.190831 0.193712 -24/5 -6/1 1 38 0.208402 In 0.206709 0.210095 -23/5 0 38 -22/5 -4/1 1 38 0.227253 In 0.226582 0.227924 -21/5 0 38 -19/5 0 38 -18/5 -4/1 1 38 0.277814 In 0.276811 0.278817 -17/5 0 38 -16/5 -2/1 1 38 0.312423 In 0.308619 0.316226 -14/5 -4/1 1 38 0.357374 In 0.352397 0.362350 -13/5 0 38 -12/5 -2/1 1 38 0.416606 In 0.414351 0.418860 -11/5 0 38 -9/5 0 38 -8/5 -2/1 1 38 0.625206 In 0.620128 0.630284 -7/5 0 38 -6/5 0/1 1 38 0.833333 In 0.806296 0.860370 -4/5 -2/1 1 38 1.254967 In 1.193731 1.316203 -3/5 0 38 -2/5 0/1 1 38 2.500000 In 2.418889 2.581111 -1/5 0 38 1/5 0 38 2/5 0/1 1 38 -2.500000 In -2.581111 -2.418889 3/5 0 38 4/5 2/1 1 38 -1.254967 In -1.316203 -1.193731 6/5 0/1 1 38 -0.833333 In -0.860370 -0.806296 7/5 0 38 8/5 2/1 1 38 -0.625206 In -0.630284 -0.620128 9/5 0 38 11/5 0 38 12/5 2/1 1 38 -0.416606 In -0.418860 -0.414351 13/5 0 38 14/5 4/1 1 38 -0.357374 In -0.362350 -0.352397 16/5 2/1 1 38 -0.312423 In -0.316226 -0.308619 17/5 0 38 18/5 4/1 1 38 -0.277814 In -0.278817 -0.276811 19/5 0 38 21/5 0 38 22/5 4/1 1 38 -0.227253 In -0.227924 -0.226582 23/5 0 38 24/5 6/1 1 38 -0.208402 In -0.210095 -0.206709 26/5 4/1 1 38 -0.192272 In -0.193712 -0.190831 27/5 0 38 28/5 6/1 1 38 -0.178586 In -0.179000 -0.178172 29/5 0 38 31/5 0 38 32/5 6/1 1 38 -0.156240 In -0.156557 -0.155923 33/5 0 38 34/5 8/1 1 38 -0.147091 In -0.147934 -0.146248 36/5 6/1 1 38 -0.138869 In -0.139620 -0.138117 37/5 0 38 38/5 8/1 1 38 -0.131587 In -0.131812 -0.131362 39/5 0 38 41/5 0 38 42/5 8/1 1 38 -0.119042 In -0.119226 -0.118858 43/5 0 38 44/5 10/1 1 38 -0.113655 In -0.114158 -0.113151 46/5 8/1 1 38 -0.108683 In -0.109143 -0.108222 47/5 0 38 48/5 10/1 1 38 -0.104171 In -0.104312 -0.104030 49/5 0 38 -49/6 -25/3 1 19 0.122483 In 0.122192 0.122774 -47/6 -23/3 1 19 0.127624 In 0.127309 0.127940 -43/6 -7/1 1 19 0.139530 In 0.139406 0.139654 -41/6 -7/1 1 19 0.146347 In 0.146210 0.146484 -37/6 -19/3 1 19 0.162222 In 0.161712 0.162732 -35/6 -17/3 1 19 0.171365 In 0.170796 0.171934 -31/6 -5/1 1 19 0.193540 In 0.193300 0.193779 -29/6 -5/1 1 19 0.206907 In 0.206634 0.207181 -25/6 -13/3 1 19 0.240133 In 0.239016 0.241250 -23/6 -11/3 1 19 0.260725 In 0.259408 0.262042 -19/6 -3/1 1 19 0.315766 In 0.315130 0.316403 -17/6 -3/1 1 19 0.352973 In 0.352178 0.353768 -13/6 -7/3 1 19 0.462049 In 0.457914 0.466185 -11/6 -5/3 1 19 0.544855 In 0.539104 0.550605 -7/6 -1/1 1 19 0.856989 In 0.852302 0.861676 -5/6 -1/1 1 19 1.200422 In 1.191226 1.209618 -1/6 -1/3 1 19 6.166667 In 5.440184 6.893150 1/6 1/3 1 19 -6.166667 In -6.893150 -5.440184 5/6 1/1 1 19 -1.200422 In -1.209618 -1.191226 7/6 1/1 1 19 -0.856989 In -0.861676 -0.852302 11/6 5/3 1 19 -0.544855 In -0.550605 -0.539104 13/6 7/3 1 19 -0.462049 In -0.466185 -0.457914 17/6 3/1 1 19 -0.352973 In -0.353768 -0.352178 19/6 3/1 1 19 -0.315766 In -0.316403 -0.315130 23/6 11/3 1 19 -0.260725 In -0.262042 -0.259408 25/6 13/3 1 19 -0.240133 In -0.241250 -0.239016 29/6 5/1 1 19 -0.206907 In -0.207181 -0.206634 31/6 5/1 1 19 -0.193540 In -0.193779 -0.193300 35/6 17/3 1 19 -0.171365 In -0.171934 -0.170796 37/6 19/3 1 19 -0.162222 In -0.162732 -0.161712 41/6 7/1 1 19 -0.146347 In -0.146484 -0.146210 43/6 7/1 1 19 -0.139530 In -0.139654 -0.139406 47/6 23/3 1 19 -0.127624 In -0.127940 -0.127309 49/6 25/3 1 19 -0.122483 In -0.122774 -0.122192 -50/7 -8/1 1 38 0.140010 In 0.139621 0.140400 -48/7 -6/1 1 38 0.145825 In 0.145402 0.146247 -47/7 0 38 -46/7 -6/1 1 38 0.152167 In 0.151861 0.152474 -45/7 0 38 -44/7 -6/1 1 38 0.159087 In 0.158920 0.159255 -43/7 0 38 -41/7 0 38 -40/7 -6/1 1 38 0.175005 In 0.174802 0.175208 -39/7 0 38 -38/7 -6/1 1 38 0.184222 In 0.183772 0.184672 -37/7 0 38 -36/7 -6/1 1 38 0.194465 In 0.193713 0.195216 -34/7 -4/1 1 38 0.205866 In 0.205024 0.206709 -33/7 0 38 -32/7 -4/1 1 38 0.218737 In 0.218103 0.219371 -31/7 0 38 -30/7 -4/1 1 38 0.233326 In 0.232965 0.233686 -29/7 0 38 -27/7 0 38 -26/7 -4/1 1 38 0.269243 In 0.268763 0.269723 -25/7 0 38 -24/7 -4/1 1 38 0.291697 In 0.290570 0.292825 -23/7 0 38 -22/7 -4/1 1 38 0.318241 In 0.316228 0.320254 -20/7 -2/1 1 38 0.349961 In 0.347527 0.352394 -19/7 0 38 -18/7 -2/1 1 38 0.388853 In 0.386849 0.390856 -17/7 0 38 -16/7 -2/1 1 38 0.437474 In 0.436206 0.438742 -15/7 0 38 -13/7 0 38 -12/7 -2/1 1 38 0.583394 In 0.581140 0.585649 -11/7 0 38 -10/7 -2/1 1 38 0.700211 In 0.693715 0.706706 -9/7 0 38 -8/7 -2/1 1 38 0.875618 In 0.860384 0.890851 -6/7 0/1 1 38 1.166667 In 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