SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 30 -50/1 1/1 6 3 0.020817 In -0.008056 0.049690 -49/1 3/2 1 30 0.020494 In 0.012813 0.028175 -48/1 0 5 -47/1 1/0 1 30 0.021277 In 0.021194 0.021360 -46/1 1/0 1 15 0.021740 In 0.021618 0.021862 -45/1 0/1 1 2 0.022222 In 0.006509 0.037936 -44/1 0 15 -43/1 1/2 1 30 0.023292 In 0.014702 0.031883 -42/1 1/1 2 5 0.024042 In 0.008621 0.039462 -41/1 1/2 1 30 0.024430 In 0.015416 0.033445 -40/1 0 3 -39/1 0 10 -38/1 1/2 1 15 0.026409 In 0.012640 0.040178 -37/1 3/4 1 30 0.027325 In 0.007183 0.047467 -36/1 0 5 -35/1 4/5 1 6 0.031361 In -0.028424 0.091145 -34/1 5/6 1 15 0.031187 In -0.015562 0.077936 -33/1 0 10 -32/1 0 15 -31/1 25/26 1 30 0.056018 In -0.105356 0.217393 -30/1 1/1 26 1 0.064073 In -0.116784 0.244931 -29/1 27/26 1 30 0.064161 In -0.110433 0.238754 -28/1 0 15 -27/1 0 10 -26/1 7/6 1 15 0.042810 In -0.019750 0.105371 -25/1 6/5 1 6 0.048465 In -0.037933 0.134864 -24/1 0 5 -23/1 5/4 1 30 0.044809 In 0.011279 0.078340 -22/1 3/2 1 15 0.046338 In 0.021234 0.071443 -21/1 0 10 -20/1 0 3 -19/1 3/2 1 30 0.053230 In 0.032477 0.073983 -18/1 1/1 2 5 0.056860 In 0.019726 0.093995 -17/1 3/2 1 30 0.059577 In 0.036179 0.082976 -16/1 0 15 -15/1 2/1 1 2 0.071749 In 0.017844 0.125654 -14/1 1/0 1 15 0.071453 In 0.070135 0.072771 -13/1 1/0 1 30 0.076938 In 0.075858 0.078019 -12/1 0 5 -11/1 1/2 1 30 0.091485 In 0.056772 0.126199 -10/1 1/1 6 3 0.122449 In -0.036289 0.281187 -9/1 0 10 -8/1 0 15 -7/1 1/0 1 30 0.142954 In 0.139226 0.146683 -6/1 1/1 2 5 0.179775 In 0.055416 0.304135 -5/1 2/1 1 6 0.219178 In 0.101737 0.336619 -4/1 0 15 -3/1 0 10 -2/1 1/0 1 15 0.508475 In 0.442831 0.574118 -1/1 1/0 1 30 1.034483 In 0.845613 1.223353 0/1 0 1 1/1 1/0 1 30 -1.034483 In -1.223353 -0.845613 2/1 1/0 1 15 -0.508475 In -0.574118 -0.442831 3/1 0 10 4/1 0 15 5/1 0/1 1 6 -0.200000 In -0.281650 -0.118350 6/1 1/1 2 5 -0.157303 In -0.246131 -0.068475 7/1 1/0 1 30 -0.142954 In -0.146683 -0.139226 8/1 0 15 9/1 0 10 10/1 1/1 6 3 -0.081633 In -0.211509 0.048244 11/1 3/2 1 30 -0.089478 In -0.118218 -0.060738 12/1 0 5 13/1 1/0 1 30 -0.076938 In -0.078019 -0.075858 14/1 1/0 1 15 -0.071453 In -0.072771 -0.070135 15/1 0/1 1 2 -0.066667 In -0.113807 -0.019526 16/1 0 15 17/1 1/2 1 30 -0.058600 In -0.079450 -0.037750 18/1 1/1 2 5 -0.054388 In -0.087614 -0.021163 19/1 1/2 1 30 -0.052452 In -0.071166 -0.033737 20/1 0 3 21/1 0 10 22/1 1/2 1 15 -0.045185 In -0.068128 -0.022243 23/1 3/4 1 30 -0.042746 In -0.073480 -0.012012 24/1 0 5 25/1 4/5 1 6 -0.034815 In -0.114191 0.044560 26/1 5/6 1 15 -0.035591 In -0.093408 0.022226 27/1 0 10 28/1 0 15 29/1 25/26 1 30 -0.008941 In -0.171221 0.153339 30/1 1/1 26 1 -0.004577 In -0.173766 0.164613 31/1 27/26 1 30 -0.008114 In -0.159950 0.143723 32/1 0 15 33/1 0 10 34/1 7/6 1 15 -0.027066 In -0.071192 0.017060 35/1 6/5 1 6 -0.024610 In -0.081209 0.031988 36/1 0 5 37/1 5/4 1 30 -0.026556 In -0.045639 -0.007474 38/1 3/2 1 15 -0.026050 In -0.039108 -0.012991 39/1 0 10 40/1 0 3 41/1 3/2 1 30 -0.024276 In -0.032857 -0.015694 42/1 1/1 2 5 -0.023588 In -0.038291 -0.008885 43/1 3/2 1 30 -0.023151 In -0.031348 -0.014954 44/1 0 15 45/1 2/1 1 2 -0.021750 In -0.036780 -0.006720 46/1 1/0 1 15 -0.021740 In -0.021862 -0.021618 47/1 1/0 1 30 -0.021277 In -0.021360 -0.021194 48/1 0 5 49/1 1/2 1 30 -0.020381 In -0.027757 -0.013005 50/1 1/1 6 3 -0.019215 In -0.046956 0.008525 -49/2 0 30 -47/2 0 30 -45/2 4/3 2 2 0.050772 In -0.020408 0.121951 -43/2 0 30 -41/2 0 30 -39/2 1/1 1 10 0.051351 In 0.042826 0.059876 -37/2 0 30 -35/2 1/1 1 6 0.057287 In 0.044954 0.069619 -33/2 1/1 1 10 0.060703 In 0.050539 0.070868 -31/2 0 30 -29/2 0 30 -27/2 1/1 1 10 0.074221 In 0.061640 0.086803 -25/2 1/1 1 6 0.080288 In 0.062647 0.097929 -23/2 0 30 -21/2 1/1 1 10 0.095487 In 0.078990 0.111983 -19/2 0 30 -17/2 0 30 -15/2 2/1 2 2 0.144796 In 0.058824 0.230769 -13/2 0 30 -11/2 0 30 -9/2 1/1 1 10 0.223733 In 0.180735 0.266731 -7/2 0 30 -5/2 1/1 1 6 0.409396 In 0.294319 0.524473 -3/2 1/1 1 10 0.685393 In 0.507737 0.863049 -1/2 0 30 1/2 0 30 3/2 1/1 1 10 -0.662921 In -0.698453 -0.627390 5/2 1/1 1 6 -0.395973 In -0.445292 -0.346655 7/2 0 30 9/2 1/1 1 10 -0.221261 In -0.248623 -0.193899 11/2 0 30 13/2 0 30 15/2 0/1 2 2 -0.133333 In -0.200000 -0.066667 17/2 0 30 19/2 0 30 21/2 1/1 1 10 -0.095033 In -0.108660 -0.081405 23/2 0 30 25/2 1/1 1 6 -0.079755 In -0.094782 -0.064727 27/2 1/1 1 10 -0.073947 In -0.084793 -0.063101 29/2 0 30 31/2 0 30 33/2 1/1 1 10 -0.060520 In -0.069523 -0.051517 35/2 1/1 1 6 -0.057015 In -0.068014 -0.046015 37/2 0 30 39/2 1/1 1 10 -0.051220 In -0.058913 -0.043527 41/2 0 30 43/2 0 30 45/2 2/3 2 2 -0.041564 In -0.106383 0.023256 47/2 0 30 49/2 0 30 -50/3 3/2 2 3 0.061748 In 0.026063 0.097433 -49/3 3/2 1 30 0.061315 In 0.053178 0.069453 -47/3 7/4 1 30 0.064300 In 0.047013 0.081587 -46/3 3/2 1 15 0.065425 In 0.053097 0.077753 -44/3 0 15 -43/3 5/2 1 30 0.069979 In 0.060002 0.079957 -41/3 1/0 1 30 0.073172 In 0.072846 0.073498 -40/3 0 3 -38/3 1/0 1 15 0.078951 In 0.078415 0.079487 -37/3 1/0 1 30 0.081083 In 0.080683 0.081483 -35/3 1/1 2 6 0.086010 In 0.068095 0.103924 -34/3 1/0 1 15 0.088240 In 0.087570 0.088910 -32/3 0 15 -31/3 13/16 1 30 0.104602 In 0.002362 0.206843 -29/3 23/20 1 30 0.124286 In -0.019623 0.268196 -28/3 0 15 -26/3 3/2 1 15 0.116079 In 0.092760 0.139399 -25/3 1/1 2 6 0.120598 In 0.094719 0.146477 -23/3 3/2 1 30 0.130887 In 0.111894 0.149880 -22/3 1/0 1 15 0.136382 In 0.134782 0.137983 -20/3 0 3 -19/3 1/0 1 30 0.157909 In 0.156392 0.159427 -17/3 1/0 1 30 0.176491 In 0.174595 0.178386 -16/3 0 15 -14/3 1/0 1 15 0.214359 In 0.210405 0.218312 -13/3 1/0 1 30 0.230815 In 0.227573 0.234056 -11/3 1/0 1 30 0.272802 In 0.268275 0.277330 -10/3 1/0 2 3 0.302013 In 0.277354 0.326673 -8/3 0 15 -7/3 1/0 1 30 0.428863 In 0.417678 0.440049 -5/3 1/1 2 6 0.621622 In 0.434373 0.808870 -4/3 0 15 -2/3 1/0 1 15 1.525424 In 1.328492 1.722355 -1/3 1/0 1 30 3.103448 In 2.536839 3.670058 1/3 1/0 1 30 -3.103448 In -3.670058 -2.536839 2/3 1/0 1 15 -1.525424 In -1.722355 -1.328492 4/3 0 15 5/3 1/1 2 6 -0.594595 In -0.641407 -0.547782 7/3 1/0 1 30 -0.428863 In -0.440049 -0.417678 8/3 0 15 10/3 1/0 2 3 -0.302013 In -0.326673 -0.277354 11/3 1/0 1 30 -0.272802 In -0.277330 -0.268275 13/3 1/0 1 30 -0.230815 In -0.234056 -0.227573 14/3 1/0 1 15 -0.214359 In -0.218312 -0.210405 16/3 0 15 17/3 1/0 1 30 -0.176491 In -0.178386 -0.174595 19/3 1/0 1 30 -0.157909 In -0.159427 -0.156392 20/3 0 3 22/3 1/0 1 15 -0.136382 In -0.137983 -0.134782 23/3 1/2 1 30 -0.130317 In -0.145159 -0.115475 25/3 1/1 2 6 -0.119530 In -0.139864 -0.099197 26/3 1/2 1 15 -0.115199 In -0.133916 -0.096481 28/3 0 15 29/3 17/20 1 30 -0.091015 In -0.207187 0.025157 31/3 19/16 1 30 -0.087323 In -0.171783 -0.002863 32/3 0 15 34/3 1/0 1 15 -0.088240 In -0.088910 -0.087570 35/3 1/1 2 6 -0.085465 In -0.100551 -0.070380 37/3 1/0 1 30 -0.081083 In -0.081483 -0.080683 38/3 1/0 1 15 -0.078951 In -0.079487 -0.078415 40/3 0 3 41/3 1/0 1 30 -0.073172 In -0.073498 -0.072846 43/3 -1/2 1 30 -0.069805 In -0.078593 -0.061017 44/3 0 15 46/3 1/2 1 15 -0.065156 In -0.076017 -0.054296 47/3 1/4 1 30 -0.063770 In -0.079061 -0.048480 49/3 1/2 1 30 -0.061198 In -0.068422 -0.053974 50/3 1/2 2 3 -0.059483 In -0.091171 -0.027794 -49/4 0 30 -47/4 0 30 -45/4 0/1 3 2 0.088889 In 0.061672 0.116105 -43/4 0 30 -41/4 0 30 -39/4 1/1 1 10 0.102637 In 0.093696 0.111577 -37/4 0 30 -35/4 3/2 1 6 0.115243 In 0.087882 0.142604 -33/4 7/5 1 10 0.124988 In 0.068691 0.181286 -31/4 0 30 -29/4 0 30 -27/4 1/1 1 10 0.148306 In 0.134857 0.161755 -25/4 1/0 1 6 0.160043 In 0.157429 0.162656 -23/4 0 30 -21/4 5/3 1 10 0.194983 In 0.135127 0.254839 -19/4 0 30 -17/4 0 30 -15/4 2/1 3 2 0.287671 In 0.159045 0.416297 -13/4 0 30 -11/4 0 30 -9/4 -1/1 1 10 0.443758 In 0.424213 0.463302 -7/4 0 30 -5/4 1/0 1 6 0.805369 In 0.739611 0.871127 -3/4 1/1 1 10 1.359551 In 1.110832 1.608269 -1/4 0 30 1/4 0 30 3/4 1/1 1 10 -1.337079 In -1.372610 -1.301547 5/4 1/0 1 6 -0.805369 In -0.871127 -0.739611 7/4 0 30 9/4 3/1 1 10 -0.445693 In 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0.147067 In 0.145950 0.148184 -33/5 0 10 -32/5 0 15 -31/5 1/6 1 30 0.161504 In 0.125216 0.197792 -29/5 19/14 1 30 0.185613 In 0.075271 0.295954 -28/5 0 15 -27/5 0 10 -26/5 3/2 1 15 0.193071 In 0.167457 0.218684 -24/5 2/1 3 5 0.211297 In 0.165383 0.257211 -23/5 1/0 1 30 0.217405 In 0.215679 0.219131 -22/5 1/0 1 15 0.227304 In 0.224636 0.229972 -21/5 0 10 -19/5 3/2 1 30 0.263931 In 0.237104 0.290758 -18/5 2/1 1 5 0.279703 In 0.240959 0.318447 -17/5 1/0 1 30 0.294152 In 0.290992 0.297311 -16/5 0 15 -14/5 1/0 1 15 0.357264 In 0.350675 0.363853 -13/5 1/2 1 30 0.385086 In 0.351589 0.418582 -12/5 2/1 3 5 0.432203 In 0.311856 0.552550 -11/5 1/2 1 30 0.455222 In 0.414471 0.495973 -9/5 0 10 -8/5 0 15 -7/5 1/0 1 30 0.714772 In 0.696129 0.733415 -6/5 2/1 1 5 0.863636 In 0.660357 1.066915 -4/5 0 15 -3/5 0 10 -2/5 1/0 1 15 2.542373 In 2.214154 2.870592 -1/5 1/0 1 30 5.172414 In 4.228065 6.116763 1/5 1/0 1 30 -5.172414 In -6.116763 -4.228065 2/5 1/0 1 15 -2.542373 In -2.870592 -2.214154 3/5 0 10 4/5 0 15 6/5 0/1 1 5 -0.833333 In -0.907869 -0.758798 7/5 1/0 1 30 -0.714772 In -0.733415 -0.696129 8/5 0 15 9/5 0 10 11/5 3/2 1 30 -0.454018 In -0.464607 -0.443430 12/5 0/1 3 5 -0.416667 In -0.481216 -0.352117 13/5 3/2 1 30 -0.384114 In -0.396018 -0.372209 14/5 1/0 1 15 -0.357264 In -0.363853 -0.350675 16/5 0 15 17/5 1/0 1 30 -0.294152 In -0.297311 -0.290992 18/5 0/1 1 5 -0.277778 In -0.302623 -0.252933 19/5 1/2 1 30 -0.262998 In -0.279689 -0.246306 21/5 0 10 22/5 1/0 1 15 -0.227304 In -0.229972 -0.224636 23/5 1/0 1 30 -0.217405 In -0.219131 -0.215679 24/5 0/1 3 5 -0.208333 In -0.240608 -0.176058 26/5 1/2 1 15 -0.192129 In -0.210083 -0.174176 27/5 0 10 28/5 0 15 29/5 9/14 1 30 -0.167959 In -0.246582 -0.089336 31/5 11/6 1 30 -0.159671 In -0.184664 -0.134678 32/5 0 15 33/5 0 10 34/5 1/0 1 15 -0.147067 In -0.148184 -0.145950 36/5 0/1 3 5 -0.138889 In -0.160405 -0.117372 37/5 -1/2 1 30 -0.135187 In -0.145723 -0.124651 38/5 1/4 1 15 -0.131400 In -0.157686 -0.105114 39/5 0 10 41/5 1/2 1 30 -0.121914 In -0.130277 -0.113551 42/5 0/1 1 5 -0.119048 In -0.129696 -0.108400 43/5 1/2 1 30 -0.116245 In -0.124243 -0.108247 44/5 0 15 46/5 3/4 1 15 -0.108348 In -0.128976 -0.087721 47/5 1/2 1 30 -0.106354 In -0.113710 -0.098998 48/5 4/5 3 5 -0.099372 In -0.173645 -0.025100 49/5 9/10 1 30 -0.100905 In -0.134781 -0.067029 -49/6 0 30 -47/6 0 30 -43/6 0 30 -41/6 0 30 -37/6 0 30 -35/6 5/4 1 6 0.174744 In 0.117896 0.231592 -31/6 0 30 -29/6 0 30 -25/6 3/2 1 6 0.242181 In 0.197657 0.286706 -23/6 0 30 -19/6 0 30 -17/6 0 30 -13/6 0 30 -11/6 0 30 -7/6 0 30 -5/6 1/0 1 6 1.208054 In 1.109417 1.306691 -1/6 0 30 1/6 0 30 5/6 1/0 1 6 -1.208054 In -1.306691 -1.109417 7/6 0 30 11/6 0 30 13/6 0 30 17/6 0 30 19/6 0 30 23/6 0 30 25/6 1/2 1 6 -0.239531 In -0.268279 -0.210782 29/6 0 30 31/6 0 30 35/6 3/4 1 6 -0.170004 In -0.210712 -0.129296 37/6 0 30 41/6 0 30 43/6 0 30 47/6 0 30 49/6 0 30 -50/7 2/1 1 3 0.140342 In 0.125553 0.155130 -48/7 0/1 3 5 0.145833 In 0.129696 0.161971 -47/7 1/0 1 30 0.148938 In 0.148360 0.149517 -46/7 1/0 1 15 0.152179 In 0.151325 0.153033 -45/7 1/1 6 2 0.157270 In 0.112727 0.201813 -44/7 0 15 -43/7 3/4 1 30 0.163033 In 0.143973 0.182094 -41/7 5/4 1 30 0.171213 In 0.149589 0.192837 -40/7 2/1 1 3 0.175563 In 0.156061 0.195065 -39/7 0 10 -38/7 3/2 1 15 0.184564 In 0.167213 0.201916 -37/7 3/2 1 30 0.189377 In 0.176705 0.202049 -36/7 2/1 3 5 0.195733 In 0.165793 0.225672 -34/7 1/0 1 15 0.205894 In 0.204331 0.207458 -33/7 0 10 -32/7 0 15 -31/7 11/4 1 30 0.228291 In 0.189943 0.266638 -30/7 1/1 2 1 0.236080 In 0.177811 0.294350 -29/7 15/8 1 30 0.248350 In 0.174532 0.322169 -27/7 0 10 -26/7 5/2 1 15 0.270885 In 0.237573 0.304197 -25/7 3/1 2 6 0.282958 In 0.240260 0.325656 -24/7 2/1 3 5 0.294979 In 0.243663 0.346295 -23/7 1/0 1 30 0.304367 In 0.301951 0.306783 -22/7 1/0 1 15 0.318226 In 0.314491 0.321960 -20/7 2/1 1 3 0.352843 In 0.303604 0.402082 -19/7 1/0 1 30 0.368455 In 0.364915 0.371996 -18/7 0/1 1 5 0.388889 In 0.364044 0.413734 -17/7 1/0 1 30 0.411812 In 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