SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 1 -50/1 0 30 -49/1 0 30 -48/1 0 30 -47/1 0 30 -46/1 0 30 -45/1 0 30 -44/1 0 30 -43/1 0 30 -42/1 0 30 -41/1 0 30 -40/1 0 30 -39/1 0 30 -38/1 0 30 -37/1 0 30 -36/1 0 30 -35/1 0 30 -34/1 0 30 -33/1 0 30 -32/1 0 30 -31/1 0 30 -30/1 0 30 -29/1 0 30 -28/1 0 30 -27/1 0 30 -26/1 0 30 -25/1 0 30 -24/1 0 30 -23/1 0 30 -22/1 0 30 -21/1 0 30 -20/1 0 30 -19/1 0 30 -18/1 0 30 -17/1 0 30 -16/1 0 30 -15/1 0 30 -14/1 0 30 -13/1 0 30 -12/1 0 30 -11/1 0 30 -10/1 0 30 -9/1 0 30 -8/1 0 30 -7/1 0 30 -6/1 0 30 -5/1 0 30 -4/1 0 30 -3/1 0 30 -2/1 0 30 -1/1 0 30 0/1 0 30 1/1 0 30 2/1 0 30 3/1 0 30 4/1 0 30 5/1 0 30 6/1 0 30 7/1 0 30 8/1 0 30 9/1 0 30 10/1 0 30 11/1 0 30 12/1 0 30 13/1 0 30 14/1 0 30 15/1 0 30 16/1 0 30 17/1 0 30 18/1 0 30 19/1 0 30 20/1 0 30 21/1 0 30 22/1 0 30 23/1 0 30 24/1 0 30 25/1 0 30 26/1 0 30 27/1 0 30 28/1 0 30 29/1 0 30 30/1 0 30 31/1 0 30 32/1 0 30 33/1 0 30 34/1 0 30 35/1 0 30 36/1 0 30 37/1 0 30 38/1 0 30 39/1 0 30 40/1 0 30 41/1 0 30 42/1 0 30 43/1 0 30 44/1 0 30 45/1 0 30 46/1 0 30 47/1 0 30 48/1 0 30 49/1 0 30 50/1 0 30 -49/2 0/1 1 15 0.040816 In 0.035547 0.046086 -47/2 2/1 1 15 0.042619 In 0.036657 0.048581 -45/2 0/1 1 15 0.044444 In 0.038707 0.050182 -43/2 2/1 1 15 0.046590 In 0.040026 0.053155 -41/2 0/1 1 15 0.048780 In 0.042483 0.055078 -39/2 2/1 1 15 0.051379 In 0.044078 0.058680 -37/2 0/1 1 15 0.054054 In 0.047076 0.061032 -35/2 2/1 1 15 0.057264 In 0.049042 0.065486 -33/2 0/1 1 15 0.060606 In 0.052782 0.068430 -31/2 2/1 1 15 0.064673 In 0.055267 0.074079 -29/2 0/1 1 15 0.068966 In 0.060062 0.077869 -27/2 2/1 1 15 0.074284 In 0.063300 0.085268 -25/2 0/1 1 15 0.080000 In 0.069672 0.090328 -23/2 2/1 1 15 0.087253 In 0.074068 0.100438 -21/2 0/1 1 15 0.095238 In 0.082943 0.107533 -19/2 2/1 1 15 0.105711 In 0.089248 0.122173 -17/2 0/1 1 15 0.117647 In 0.102459 0.132835 -15/2 2/1 1 15 0.134085 In 0.112256 0.155914 -13/2 0/1 1 15 0.153846 In 0.133985 0.173708 -11/2 2/1 1 15 0.183324 In 0.151245 0.215403 -9/2 0/1 1 15 0.222222 In 0.193533 0.250911 -7/2 2/1 1 15 0.290014 In 0.231733 0.348294 -5/2 0/1 1 15 0.400000 In 0.348360 0.451640 -3/2 2/1 1 15 0.702290 In 0.495337 0.909243 -1/2 0/1 1 15 2.000000 In 1.741801 2.258199 1/2 2/1 1 15 -2.545455 In -3.601723 -1.489186 3/2 0/1 1 15 -0.666667 In -0.752733 -0.580600 5/2 2/1 1 15 -0.398922 In -0.409361 -0.388483 7/2 0/1 1 15 -0.285714 In -0.322600 -0.248829 9/2 2/1 1 15 -0.221305 In -0.237296 -0.205314 11/2 0/1 1 15 -0.181818 In -0.205291 -0.158346 13/2 2/1 1 15 -0.153299 In -0.167071 -0.139527 15/2 0/1 1 15 -0.133333 In -0.150547 -0.116120 17/2 2/1 1 15 -0.117294 In -0.128919 -0.105669 19/2 0/1 1 15 -0.105263 In -0.118853 -0.091674 21/2 2/1 1 15 -0.094993 In -0.104952 -0.085034 23/2 0/1 1 15 -0.086957 In -0.098183 -0.075730 25/2 2/1 1 15 -0.079821 In -0.088500 -0.071142 27/2 0/1 1 15 -0.074074 In -0.083637 -0.064511 29/2 2/1 1 15 -0.068829 In -0.076507 -0.061151 31/2 0/1 1 15 -0.064516 In -0.072845 -0.056187 33/2 2/1 1 15 -0.060498 In -0.067376 -0.053621 35/2 0/1 1 15 -0.057143 In -0.064520 -0.049766 37/2 2/1 1 15 -0.053967 In -0.060192 -0.047742 39/2 0/1 1 15 -0.051282 In -0.057903 -0.044662 41/2 2/1 1 15 -0.048709 In -0.054393 -0.043025 43/2 0/1 1 15 -0.046512 In -0.052516 -0.040507 45/2 2/1 1 15 -0.044384 In -0.049613 -0.039156 47/2 0/1 1 15 -0.042553 In -0.048047 -0.037060 49/2 2/1 1 15 -0.040765 In -0.045605 -0.035926 -50/3 1/0 1 10 0.060002 In 0.059623 0.060382 -49/3 1/1 1 10 0.061269 In 0.054420 0.068118 -47/3 1/1 1 10 0.063878 In 0.056720 0.071036 -46/3 1/0 1 10 0.065220 In 0.064772 0.065669 -44/3 1/0 1 10 0.068185 In 0.067695 0.068675 -43/3 1/1 1 10 0.069825 In 0.061958 0.077693 -41/3 1/1 1 10 0.073235 In 0.064957 0.081512 -40/3 1/0 1 10 0.075005 In 0.074412 0.075598 -38/3 1/0 1 10 0.078953 In 0.078296 0.079610 -37/3 1/1 1 10 0.081160 In 0.071920 0.090400 -35/3 1/1 1 10 0.085803 In 0.075993 0.095613 -34/3 1/0 1 10 0.088243 In 0.087422 0.089064 -32/3 1/0 1 10 0.093759 In 0.092833 0.094686 -31/3 1/1 1 10 0.096888 In 0.085699 0.108078 -29/3 1/1 1 10 0.103579 In 0.091546 0.115613 -28/3 1/0 1 10 0.107157 In 0.105946 0.108367 -26/3 1/0 1 10 0.115402 In 0.113998 0.116805 -25/3 1/1 1 10 0.120179 In 0.106010 0.134348 -23/3 1/1 1 10 0.130649 In 0.115103 0.146194 -22/3 1/0 1 10 0.136392 In 0.134431 0.138352 -20/3 1/0 1 10 0.150038 In 0.147665 0.152410 -19/3 1/1 1 10 0.158216 In 0.138939 0.177492 -17/3 1/1 1 10 0.176878 In 0.154986 0.198770 -16/3 1/0 1 10 0.187573 In 0.183866 0.191281 -14/3 1/0 1 10 0.214395 In 0.209552 0.219238 -13/3 1/1 1 10 0.231498 In 0.201541 0.261454 -11/3 1/1 1 10 0.273780 In 0.237161 0.310399 -10/3 1/0 1 10 0.300300 In 0.290804 0.309797 -8/3 1/0 1 10 0.375587 In 0.360740 0.390433 -7/3 1/1 1 10 0.431493 In 0.366825 0.496161 -5/3 1/1 1 10 0.606426 In 0.504826 0.708025 -4/3 1/0 1 10 0.754717 In 0.695051 0.814383 -2/3 1/0 1 10 1.538462 In 1.295209 1.781714 -1/3 1/1 1 10 3.444444 In 2.038988 4.849901 1/3 1/1 1 10 -3.222222 In -3.924951 -2.519494 2/3 1/0 1 10 -1.538462 In -1.781714 -1.295209 4/3 1/0 1 10 -0.754717 In -0.814383 -0.695051 5/3 1/1 1 10 -0.598394 In -0.623793 -0.572994 7/3 1/1 1 10 -0.427403 In -0.453270 -0.401536 8/3 1/0 1 10 -0.375587 In -0.390433 -0.360740 10/3 1/0 1 10 -0.300300 In -0.309797 -0.290804 11/3 1/1 1 10 -0.272126 In -0.293051 -0.251201 13/3 1/1 1 10 -0.230314 In -0.249037 -0.211591 14/3 1/0 1 10 -0.214395 In -0.219238 -0.209552 16/3 1/0 1 10 -0.187573 In -0.191281 -0.183866 17/3 1/1 1 10 -0.176186 In -0.191510 -0.160861 19/3 1/1 1 10 -0.157661 In -0.171681 -0.143642 20/3 1/0 1 10 -0.150038 In -0.152410 -0.147665 22/3 1/0 1 10 -0.136392 In -0.138352 -0.134431 23/3 1/1 1 10 -0.130270 In -0.142228 -0.118312 25/3 1/1 1 10 -0.119859 In -0.130992 -0.108726 26/3 1/0 1 10 -0.115402 In -0.116805 -0.113998 28/3 1/0 1 10 -0.107157 In -0.108367 -0.105946 29/3 1/1 1 10 -0.103342 In -0.113119 -0.093564 31/3 1/1 1 10 -0.096680 In -0.105895 -0.087466 32/3 1/0 1 10 -0.093759 In -0.094686 -0.092833 34/3 1/0 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0.139688 -29/4 2/1 1 15 0.138133 In 0.126770 0.149497 -27/4 0/1 1 15 0.148148 In 0.138585 0.157711 -25/4 0/1 1 15 0.160000 In 0.149672 0.170328 -23/4 2/1 1 15 0.174253 In 0.159115 0.189391 -21/4 2/1 1 15 0.190894 In 0.173905 0.207883 -19/4 0/1 1 15 0.210526 In 0.196937 0.224116 -17/4 0/1 1 15 0.235294 In 0.220106 0.250482 -15/4 2/1 1 15 0.267576 In 0.241151 0.294001 -13/4 2/1 1 15 0.308969 In 0.276834 0.341103 -11/4 0/1 1 15 0.363636 In 0.340164 0.387109 -9/4 0/1 1 15 0.444444 In 0.415756 0.473133 -7/4 2/1 1 15 0.577291 In 0.497818 0.656764 -5/4 2/1 1 15 0.814016 In 0.678305 0.949727 -3/4 0/1 1 15 1.333333 In 1.247267 1.419400 -1/4 0/1 1 15 4.000000 In 3.741801 4.258199 1/4 2/1 1 15 -5.272727 In -7.737353 -2.808102 3/4 2/1 1 15 -1.358779 In -1.506602 -1.210955 5/4 0/1 1 15 -0.800000 In -0.851640 -0.748360 7/4 0/1 1 15 -0.571429 In -0.608314 -0.534543 9/4 2/1 1 15 -0.444261 In -0.447459 -0.441063 11/4 2/1 1 15 -0.363335 In -0.369751 -0.356919 13/4 0/1 1 15 -0.307692 In -0.327554 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6 0.108704 In 0.107739 0.109669 -44/5 1/0 1 6 0.113646 In 0.112592 0.114701 -43/5 1/0 1 6 0.116290 In 0.115185 0.117394 -42/5 1/1 1 6 0.119153 In 0.108275 0.130032 -41/5 1/1 1 6 0.122062 In 0.110890 0.133235 -39/5 1/1 1 6 0.128329 In 0.116518 0.140140 -38/5 1/1 1 6 0.131710 In 0.119551 0.143868 -37/5 1/0 1 6 0.135152 In 0.133660 0.136643 -36/5 1/0 1 6 0.138907 In 0.137332 0.140482 -34/5 1/0 1 6 0.147080 In 0.145314 0.148846 -33/5 1/0 1 6 0.151538 In 0.149664 0.153413 -32/5 1/1 1 6 0.156438 In 0.141685 0.171192 -31/5 1/1 1 6 0.161492 In 0.146196 0.176788 -29/5 1/1 1 6 0.172646 In 0.156138 0.189154 -28/5 1/1 1 6 0.178822 In 0.161634 0.196010 -27/5 1/0 1 6 0.185228 In 0.182427 0.188028 -26/5 1/0 1 6 0.192355 In 0.189335 0.195375 -24/5 1/0 1 6 0.208394 In 0.204849 0.211938 -23/5 1/0 1 6 0.217460 In 0.213600 0.221320 -22/5 1/1 1 6 0.227695 In 0.204913 0.250478 -21/5 1/1 1 6 0.238563 In 0.214485 0.262641 -19/5 1/1 1 6 0.263741 In 0.236588 0.290895 -18/5 1/1 1 6 0.278435 In 0.249440 0.307431 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