SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 1/0 2 1 -50/1 -100/1 1 33 0.021379 In 0.017418 0.025341 -49/1 -98/1 1 33 0.021816 In 0.017773 0.025858 -48/1 -96/1 1 33 0.022270 In 0.018143 0.026397 -47/1 -94/1 1 33 0.022744 In 0.018529 0.026959 -46/1 -92/1 1 33 0.023238 In 0.018932 0.027545 -45/1 -90/1 1 33 0.023755 In 0.019353 0.028157 -44/1 -88/1 1 33 0.024295 In 0.019793 0.028797 -43/1 -86/1 1 33 0.024860 In 0.020253 0.029466 -42/1 -84/1 1 33 0.025452 In 0.020735 0.030168 -41/1 -82/1 1 33 0.026072 In 0.021241 0.030904 -40/1 -80/1 1 33 0.026724 In 0.021772 0.031676 -39/1 -78/1 1 33 0.027409 In 0.022330 0.032489 -38/1 -76/1 1 33 0.028131 In 0.022918 0.033344 -37/1 -74/1 1 33 0.028891 In 0.023537 0.034245 -36/1 -72/1 1 33 0.029693 In 0.024191 0.035196 -35/1 -70/1 1 33 0.030542 In 0.024882 0.036202 -34/1 -68/1 1 33 0.031440 In 0.025614 0.037266 -33/1 -66/1 1 33 0.032393 In 0.026390 0.038396 -32/1 -64/1 1 33 0.033405 In 0.027215 0.039595 -31/1 -62/1 1 33 0.034483 In 0.028093 0.040873 -30/1 -60/1 1 33 0.035632 In 0.029029 0.042235 -29/1 -58/1 1 33 0.036861 In 0.030030 0.043692 -28/1 -56/1 1 33 0.038177 In 0.031103 0.045252 -27/1 -54/1 1 33 0.039591 In 0.032255 0.046928 -26/1 -52/1 1 33 0.041114 In 0.033495 0.048733 -25/1 -50/1 1 33 0.042759 In 0.034835 0.050682 -24/1 -48/1 1 33 0.044540 In 0.036287 0.052794 -23/1 -46/1 1 33 0.046477 In 0.037864 0.055089 -22/1 -44/1 1 33 0.048589 In 0.039585 0.057593 -21/1 -42/1 1 33 0.050903 In 0.041470 0.060336 -20/1 -40/1 1 33 0.053448 In 0.043544 0.063353 -19/1 -38/1 1 33 0.056261 In 0.045836 0.066687 -18/1 -36/1 1 33 0.059387 In 0.048382 0.070392 -17/1 -34/1 1 33 0.062880 In 0.051228 0.074533 -16/1 -32/1 1 33 0.066810 In 0.054430 0.079191 -15/1 -30/1 1 33 0.071264 In 0.058058 0.084470 -14/1 -28/1 1 33 0.076355 In 0.062206 0.090504 -13/1 -26/1 1 33 0.082228 In 0.066991 0.097466 -12/1 -24/1 1 33 0.089080 In 0.072573 0.105588 -11/1 -22/1 1 33 0.097179 In 0.079171 0.115187 -10/1 -20/1 1 33 0.106897 In 0.087088 0.126705 -9/1 -18/1 1 33 0.118774 In 0.096764 0.140784 -8/1 -16/1 1 33 0.133621 In 0.108860 0.158382 -7/1 -14/1 1 33 0.152709 In 0.124411 0.181008 -6/1 -12/1 1 33 0.178161 In 0.145146 0.211176 -5/1 -10/1 1 33 0.213793 In 0.174175 0.253411 -4/1 -8/1 1 33 0.267241 In 0.217719 0.316763 -3/1 -6/1 1 33 0.356322 In 0.290292 0.422351 -2/1 -4/1 1 33 0.534483 In 0.435439 0.633527 -1/1 -2/1 1 33 1.068966 In 0.870877 1.267054 0/1 0/1 1 33 1/1 2/1 1 33 -1.068966 In -1.267054 -0.870877 2/1 4/1 1 33 -0.534483 In -0.633527 -0.435439 3/1 6/1 1 33 -0.356322 In -0.422351 -0.290292 4/1 8/1 1 33 -0.267241 In -0.316763 -0.217719 5/1 10/1 1 33 -0.213793 In -0.253411 -0.174175 6/1 12/1 1 33 -0.178161 In -0.211176 -0.145146 7/1 14/1 1 33 -0.152709 In -0.181008 -0.124411 8/1 16/1 1 33 -0.133621 In -0.158382 -0.108860 9/1 18/1 1 33 -0.118774 In -0.140784 -0.096764 10/1 20/1 1 33 -0.106897 In -0.126705 -0.087088 11/1 22/1 1 33 -0.097179 In -0.115187 -0.079171 12/1 24/1 1 33 -0.089080 In 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In 0.088437 0.109391 -29/3 -19/1 1 11 0.105512 In 0.095066 0.115958 -28/3 -19/1 1 11 0.109524 In 0.097884 0.121164 -26/3 -17/1 1 11 0.117672 In 0.106070 0.129273 -25/3 -17/1 1 11 0.122684 In 0.109591 0.135778 -23/3 -15/1 1 11 0.133000 In 0.119956 0.146043 -22/3 -15/1 1 11 0.139439 In 0.124479 0.154399 -20/3 -13/1 1 11 0.152919 In 0.138025 0.167813 -19/3 -13/1 1 11 0.161494 In 0.144047 0.178941 -17/3 -11/1 1 11 0.179856 In 0.162503 0.197209 -16/3 -11/1 1 11 0.191837 In 0.170916 0.212758 -14/3 -9/1 1 11 0.218313 In 0.197534 0.239092 -13/3 -9/1 1 11 0.236220 In 0.210105 0.262336 -11/3 -7/1 1 11 0.277691 In 0.251820 0.303562 -10/3 -7/1 1 11 0.307326 In 0.272614 0.342039 -8/3 -5/1 1 11 0.381443 In 0.347251 0.415635 -7/3 -5/1 1 11 0.439689 In 0.388068 0.491309 -5/3 -3/1 1 11 0.609023 In 0.559148 0.658897 -4/3 -3/1 1 11 0.772455 In 0.673155 0.871755 -2/3 -1/1 1 11 1.511628 In 1.434497 1.588759 -1/3 -1/1 1 11 3.200000 In 2.536675 3.863325 1/3 1/1 1 11 -3.200000 In -3.863325 -2.536675 2/3 1/1 1 11 -1.511628 In -1.588759 -1.434497 4/3 3/1 1 11 -0.772455 In -0.871755 -0.673155 5/3 3/1 1 11 -0.609023 In -0.658897 -0.559148 7/3 5/1 1 11 -0.439689 In -0.491309 -0.388068 8/3 5/1 1 11 -0.381443 In -0.415635 -0.347251 10/3 7/1 1 11 -0.307326 In -0.342039 -0.272614 11/3 7/1 1 11 -0.277691 In -0.303562 -0.251820 13/3 9/1 1 11 -0.236220 In -0.262336 -0.210105 14/3 9/1 1 11 -0.218313 In -0.239092 -0.197534 16/3 11/1 1 11 -0.191837 In -0.212758 -0.170916 17/3 11/1 1 11 -0.179856 In -0.197209 -0.162503 19/3 13/1 1 11 -0.161494 In -0.178941 -0.144047 20/3 13/1 1 11 -0.152919 In -0.167813 -0.138025 22/3 15/1 1 11 -0.139439 In -0.154399 -0.124479 23/3 15/1 1 11 -0.133000 In -0.146043 -0.119956 25/3 17/1 1 11 -0.122684 In -0.135778 -0.109591 26/3 17/1 1 11 -0.117672 In -0.129273 -0.106070 28/3 19/1 1 11 -0.109524 In -0.121164 -0.097884 29/3 19/1 1 11 -0.105512 In -0.115958 -0.095066 31/3 21/1 1 11 -0.098914 In -0.109391 -0.088437 32/3 21/1 1 11 -0.095630 In -0.105129 -0.086130 34/3 23/1 1 11 -0.090178 In -0.099703 -0.080653 35/3 23/1 1 11 -0.087440 In -0.096151 -0.078730 37/3 25/1 1 11 -0.082860 In -0.091592 -0.074128 38/3 25/1 1 11 -0.080543 In -0.088585 -0.072500 40/3 27/1 1 11 -0.076640 In -0.084700 -0.068580 41/3 27/1 1 11 -0.074654 In -0.082123 -0.067185 43/3 29/1 1 11 -0.071289 In -0.078774 -0.063805 44/3 29/1 1 11 -0.069567 In -0.076539 -0.062595 46/3 31/1 1 11 -0.066637 In -0.073622 -0.059651 47/3 31/1 1 11 -0.065130 In -0.071667 -0.058593 49/3 33/1 1 11 -0.062554 In -0.069103 -0.056005 50/3 33/1 1 11 -0.061224 In -0.067378 -0.055071 -49/4 0 33 -47/4 0 33 -45/4 0 33 -43/4 0 33 -41/4 0 33 -39/4 0 33 -37/4 0 33 -35/4 0 33 -33/4 0 33 -31/4 0 33 -29/4 0 33 -27/4 0 33 -25/4 0 33 -23/4 0 33 -21/4 0 33 -19/4 0 33 -17/4 0 33 -15/4 0 33 -13/4 0 33 -11/4 0 33 -9/4 0 33 -7/4 0 33 -5/4 0 33 -3/4 0 33 -1/4 0 33 1/4 0 33 3/4 0 33 5/4 0 33 7/4 0 33 9/4 0 33 11/4 0 33 13/4 0 33 15/4 0 33 17/4 0 33 19/4 0 33 21/4 0 33 23/4 0 33 25/4 0 33 27/4 0 33 29/4 0 33 31/4 0 33 33/4 0 33 35/4 0 33 37/4 0 33 39/4 0 33 41/4 0 33 43/4 0 33 45/4 0 33 47/4 0 33 49/4 0 33 -49/5 -58/3 1 33 0.104272 In 0.093444 0.115099 -48/5 -18/1 1 33 0.104375 In 0.101188 0.107562 -47/5 -20/1 1 33 0.106694 In 0.102494 0.110894 -46/5 -56/3 1 33 0.111288 In 0.099056 0.123519 -44/5 -52/3 1 33 0.116109 In 0.104091 0.128127 -43/5 -16/1 1 33 0.116506 In 0.113008 0.120004 -42/5 -18/1 1 33 0.119403 In 0.114640 0.124166 -41/5 -50/3 1 33 0.124875 In 0.111103 0.138647 -39/5 -46/3 1 33 0.130977 In 0.117475 0.144479 -38/5 -14/1 1 33 0.131827 In 0.127954 0.135701 -37/5 -16/1 1 33 0.135549 In 0.130050 0.141048 -36/5 -44/3 1 33 0.142241 In 0.126484 0.157998 -34/5 -40/3 1 33 0.150213 In 0.134810 0.165617 -33/5 -12/1 1 33 0.151789 In 0.147456 0.156123 -32/5 -14/1 1 33 0.156745 In 0.150247 0.163242 -31/5 -38/3 1 33 0.165219 In 0.146810 0.183628 -29/5 -34/3 1 33 0.176072 In 0.158146 0.193999 -28/5 -10/1 1 33 0.178876 In 0.173973 0.183780 -27/5 -12/1 1 33 0.185799 In 0.177871 0.193726 -26/5 -32/3 1 33 0.197049 In 0.174918 0.219181 -24/5 -28/3 1 33 0.212687 In 0.191252 0.234122 -23/5 -8/1 1 33 0.217731 In 0.212117 0.223346 -22/5 -10/1 1 33 0.228075 In 0.217941 0.238209 -21/5 -26/3 1 33 0.244073 In 0.216337 0.271808 -19/5 -22/3 1 33 0.268527 In 0.241888 0.295167 -18/5 -6/1 1 33 0.278153 In 0.271684 0.284622 -17/5 -8/1 1 33 0.295260 In 0.281313 0.309208 -16/5 -20/3 1 33 0.320577 In 0.283460 0.357693 -14/5 -16/3 1 33 0.364134 In 0.328993 0.399275 -13/5 -4/1 1 33 0.385003 In 0.377772 0.392234 -12/5 -6/1 1 33 0.418575 In 0.396649 0.440501 -11/5 -14/3 1 33 0.466948 In 0.410969 0.522926 -9/5 -10/3 1 33 0.565488 In 0.514137 0.616838 -8/5 -2/1 1 33 0.625237 In 0.619787 0.630687 -7/5 -4/1 1 33 0.718926 In 0.672280 0.765571 -6/5 -8/3 1 33 0.859431 In 0.746993 0.971869 -4/5 -4/3 1 33 1.265625 In 1.175866 1.355384 -3/5 0/1 1 33 1.666667 In 1.608641 1.724693 -2/5 -2/1 1 33 2.562500 In 2.203465 2.921535 -1/5 -2/3 1 33 5.482759 In 4.096140 6.869377 1/5 2/3 1 33 -5.482759 In -6.869377 -4.096140 2/5 2/1 1 33 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