SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 6 -50/1 0 3 -49/1 0 6 -48/1 0 1 -47/1 0 6 -46/1 0 3 -45/1 1/1 1 2 0.022475 In 0.006408 0.038541 -44/1 2/1 1 3 0.023088 In 0.009360 0.036815 -43/1 0 6 -42/1 1/0 1 1 0.023823 In 0.023256 0.024390 -41/1 0 6 -40/1 0/1 1 3 0.025000 In 0.010566 0.039434 -39/1 1/1 1 2 0.025978 In 0.007376 0.044580 -38/1 0 3 -37/1 0 6 -36/1 0 1 -35/1 0 6 -34/1 0 3 -33/1 1/1 1 2 0.030776 In 0.008689 0.052863 -32/1 2/1 1 3 0.031943 In 0.012748 0.051137 -31/1 0 6 -30/1 1/0 1 1 0.033370 In 0.032258 0.034483 -29/1 0 6 -28/1 0/1 1 3 0.035714 In 0.015095 0.056334 -27/1 1/1 1 2 0.037749 In 0.010571 0.064927 -26/1 0 3 -25/1 0 6 -24/1 0 1 -23/1 0 6 -22/1 0 3 -21/1 1/1 1 2 0.048808 In 0.013493 0.084123 -20/1 2/1 1 3 0.051839 In 0.019979 0.083700 -19/1 0 6 -18/1 1/0 1 1 0.055728 In 0.052632 0.058824 -17/1 0 6 -16/1 0/1 1 3 0.062500 In 0.026416 0.098584 -15/1 1/1 1 2 0.069042 In 0.018647 0.119437 -14/1 0 3 -13/1 0 6 -12/1 0 1 -11/1 0 6 -10/1 0 3 -9/1 1/1 1 2 0.118012 In 0.030173 0.205852 -8/1 2/1 1 3 0.138298 In 0.046168 0.230428 -7/1 0 6 -6/1 1/0 1 1 0.171429 In 0.142857 0.200000 -5/1 0 6 -4/1 0/1 1 3 0.250000 In 0.105662 0.394338 -3/1 1/1 1 2 0.411765 In 0.079009 0.744521 -2/1 0 3 -1/1 0 6 0/1 0 1 1/1 0 6 2/1 0 3 3/1 1/1 1 2 -0.294118 In -0.460496 -0.127740 4/1 2/1 1 3 -0.227273 In -0.306002 -0.148543 5/1 0 6 6/1 1/0 1 1 -0.171429 In -0.200000 -0.142857 7/1 0 6 8/1 0/1 1 3 -0.125000 In -0.197169 -0.052831 9/1 1/1 1 2 -0.105590 In -0.175862 -0.035319 10/1 0 3 11/1 0 6 12/1 0 1 13/1 0 6 14/1 0 3 15/1 1/1 1 2 -0.064588 In -0.108684 -0.020492 16/1 2/1 1 3 -0.060209 In -0.091949 -0.028470 17/1 0 6 18/1 1/0 1 1 -0.055728 In -0.058824 -0.052632 19/1 0 6 20/1 0/1 1 3 -0.050000 In -0.078868 -0.021132 21/1 1/1 1 2 -0.046538 In -0.078643 -0.014433 22/1 0 3 23/1 0 6 24/1 0 1 25/1 0 6 26/1 0 3 27/1 1/1 1 2 -0.036376 In -0.061613 -0.011140 28/1 2/1 1 3 -0.034923 In -0.054103 -0.015744 29/1 0 6 30/1 1/0 1 1 -0.033370 In -0.034483 -0.032258 31/1 0 6 32/1 0/1 1 3 -0.031250 In -0.049292 -0.013208 33/1 1/1 1 2 -0.029858 In -0.050645 -0.009070 34/1 0 3 35/1 0 6 36/1 0 1 37/1 0 6 38/1 0 3 39/1 1/1 1 2 -0.025321 In -0.042992 -0.007649 40/1 2/1 1 3 -0.024604 In -0.038327 -0.010880 41/1 0 6 42/1 1/0 1 1 -0.023823 In -0.024390 -0.023256 43/1 0 6 44/1 0/1 1 3 -0.022727 In -0.035849 -0.009606 45/1 1/1 1 2 -0.021981 In -0.037349 -0.006613 46/1 0 3 47/1 0 6 48/1 0 1 49/1 0 6 50/1 0 3 -49/2 0 6 -47/2 0 6 -45/2 1/0 1 2 0.044455 In 0.043757 0.045154 -43/2 0 6 -41/2 0 6 -39/2 1/0 1 2 0.051299 In 0.050369 0.052229 -37/2 0 6 -35/2 0 6 -33/2 1/0 1 2 0.060634 In 0.059335 0.061933 -31/2 0 6 -29/2 0 6 -27/2 1/0 1 2 0.074125 In 0.072184 0.076066 -25/2 0 6 -23/2 0 6 -21/2 1/0 1 2 0.095346 In 0.092136 0.098557 -19/2 0 6 -17/2 0 6 -15/2 1/0 1 2 0.133630 In 0.127331 0.139930 -13/2 0 6 -11/2 0 6 -9/2 1/0 1 2 0.223602 In 0.206035 0.241170 -7/2 0 6 -5/2 0 6 -3/2 1/0 1 2 0.705882 In 0.539504 0.872260 -1/2 0 6 1/2 0 6 3/2 1/0 1 2 -0.705882 In -0.872260 -0.539504 5/2 0 6 7/2 0 6 9/2 1/0 1 2 -0.223602 In -0.241170 -0.206035 11/2 0 6 13/2 0 6 15/2 1/0 1 2 -0.133630 In -0.139930 -0.127331 17/2 0 6 19/2 0 6 21/2 1/0 1 2 -0.095346 In -0.098557 -0.092136 23/2 0 6 25/2 0 6 27/2 1/0 1 2 -0.074125 In -0.076066 -0.072184 29/2 0 6 31/2 0 6 33/2 1/0 1 2 -0.060634 In -0.061933 -0.059335 35/2 0 6 37/2 0 6 39/2 1/0 1 2 -0.051299 In -0.052229 -0.050369 41/2 0 6 43/2 0 6 45/2 1/0 1 2 -0.044455 In -0.045154 -0.043757 47/2 0 6 49/2 0 6 -50/3 0 3 -49/3 0 6 -47/3 0 6 -46/3 0 3 -44/3 2/1 1 3 0.068573 In 0.053652 0.083495 -43/3 0 6 -41/3 0 6 -40/3 0/1 1 3 0.075000 In 0.060566 0.089434 -38/3 0 3 -37/3 0 6 -35/3 0 6 -34/3 0 3 -32/3 2/1 1 3 0.094524 In 0.073071 0.115977 -31/3 0 6 -29/3 0 6 -28/3 0/1 1 3 0.107143 In 0.086523 0.127763 -26/3 0 3 -25/3 0 6 -23/3 0 6 -22/3 0 3 -20/3 2/1 1 3 0.152174 In 0.114521 0.189827 -19/3 0 6 -17/3 0 6 -16/3 0/1 1 3 0.187500 In 0.151416 0.223584 -14/3 0 3 -13/3 0 6 -11/3 0 6 -10/3 0 3 -8/3 2/1 1 3 0.393617 In 0.264635 0.522600 -7/3 0 6 -5/3 0 6 -4/3 0/1 1 3 0.750000 In 0.605662 0.894338 -2/3 0 3 -1/3 0 6 1/3 0 6 2/3 0 3 4/3 2/1 1 3 -0.772727 In -0.851457 -0.693998 5/3 0 6 7/3 0 6 8/3 0/1 1 3 -0.375000 In -0.447169 -0.302831 10/3 0 3 11/3 0 6 13/3 0 6 14/3 0 3 16/3 2/1 1 3 -0.185864 In -0.208535 -0.163193 17/3 0 6 19/3 0 6 20/3 0/1 1 3 -0.150000 In -0.178868 -0.121132 22/3 0 3 23/3 0 6 25/3 0 6 26/3 0 3 28/3 2/1 1 3 -0.106474 In -0.122702 -0.090245 29/3 0 6 31/3 0 6 32/3 0/1 1 3 -0.093750 In -0.111792 -0.075708 34/3 0 3 35/3 0 6 37/3 0 6 38/3 0 3 40/3 2/1 1 3 -0.074646 In -0.086924 -0.062367 41/3 0 6 43/3 0 6 44/3 0/1 1 3 -0.068182 In -0.081303 -0.055060 46/3 0 3 47/3 0 6 49/3 0 6 50/3 0 3 -49/4 0 6 -47/4 0 6 -45/4 1/0 1 2 0.088911 In 0.087514 0.090308 -43/4 0 6 -41/4 0 6 -39/4 1/0 1 2 0.102598 In 0.100738 0.104458 -37/4 0 6 -35/4 0 6 -33/4 3/2 1 2 0.124481 In 0.073624 0.175338 -31/4 0 6 -29/4 0 6 -27/4 1/0 1 2 0.148250 In 0.144367 0.152132 -25/4 0 6 -23/4 0 6 -21/4 1/0 1 2 0.190692 In 0.184271 0.197113 -19/4 0 6 -17/4 0 6 -15/4 1/2 1 2 0.271715 In 0.164625 0.378805 -13/4 0 6 -11/4 0 6 -9/4 1/0 1 2 0.447205 In 0.412069 0.482341 -7/4 0 6 -5/4 0 6 -3/4 1/0 1 2 1.411765 In 1.079009 1.744521 -1/4 0 6 1/4 0 6 3/4 1/0 1 2 -1.411765 In -1.744521 -1.079009 5/4 0 6 7/4 0 6 9/4 1/0 1 2 -0.447205 In -0.482341 -0.412069 11/4 0 6 13/4 0 6 15/4 3/2 1 2 -0.258503 In -0.316226 -0.200780 17/4 0 6 19/4 0 6 21/4 1/0 1 2 -0.190692 In -0.197113 -0.184271 23/4 0 6 25/4 0 6 27/4 1/0 1 2 -0.148250 In -0.152132 -0.144367 29/4 0 6 31/4 0 6 33/4 1/2 1 2 -0.120349 In -0.160625 -0.080073 35/4 0 6 37/4 0 6 39/4 1/0 1 2 -0.102598 In -0.104458 -0.100738 41/4 0 6 43/4 0 6 45/4 1/0 1 2 -0.088911 In -0.090308 -0.087514 47/4 0 6 49/4 0 6 -49/5 0 6 -48/5 0/1 1 1 0.104167 In 0.083333 0.125000 -47/5 0 6 -46/5 0 3 -44/5 4/3 1 3 0.116022 In 0.070568 0.161476 -43/5 0 6 -42/5 1/1 1 1 0.119682 In 0.093023 0.146341 -41/5 0 6 -39/5 3/1 1 2 0.129575 In 0.104396 0.154754 -38/5 0 3 -37/5 0 6 -36/5 2/1 1 1 0.140867 In 0.105263 0.176471 -34/5 0 3 -33/5 3/1 1 2 0.153527 In 0.122230 0.184824 -32/5 4/1 1 3 0.158377 In 0.128905 0.187849 -31/5 0 6 -29/5 0 6 -28/5 -2/1 1 3 0.178024 In 0.164746 0.191302 -27/5 -1/1 1 2 0.184626 In 0.163272 0.205980 -26/5 0 3 -24/5 0/1 1 1 0.208333 In 0.166667 0.250000 -23/5 0 6 -22/5 0 3 -21/5 -1/1 1 2 0.237230 In 0.211547 0.262914 -19/5 0 6 -18/5 1/1 1 1 0.281734 In 0.210526 0.352941 -17/5 0 6 -16/5 2/3 1 3 0.321990 In 0.190499 0.453480 -14/5 0 3 -13/5 0 6 -12/5 2/1 1 1 0.442857 In 0.285714 0.600000 -11/5 0 6 -9/5 1/1 1 2 0.565217 In 0.442242 0.688192 -8/5 2/1 1 3 0.648936 In 0.483102 0.814771 -7/5 0 6 -6/5 1/1 1 1 0.885714 In 0.571429 1.200000 -4/5 2/1 1 3 1.409091 In 0.857984 1.960198 -3/5 1/1 1 2 1.823529 In 1.158017 2.489042 -2/5 0 3 -1/5 0 6 1/5 0 6 2/5 0 3 3/5 1/1 1 2 -1.705882 In -1.872260 -1.539504 4/5 0/1 1 3 -1.250000 In -1.394338 -1.105662 6/5 1/1 1 1 -0.828571 In -0.857143 -0.800000 7/5 0 6 8/5 0/1 1 3 -0.625000 In -0.697169 -0.552831 9/5 1/1 1 2 -0.552795 In -0.587931 -0.517659 11/5 0 6 12/5 0/1 1 1 -0.416667 In -0.500000 -0.333333 13/5 0 6 14/5 0 3 16/5 4/3 1 3 -0.303191 In -0.367683 -0.238700 17/5 0 6 18/5 1/1 1 1 -0.275542 In -0.315789 -0.235294 19/5 0 6 21/5 3/1 1 2 -0.237113 In -0.246833 -0.227394 22/5 0 3 23/5 0 6 24/5 2/1 1 1 -0.206294 In -0.230769 -0.181818 26/5 0 3 27/5 3/1 1 2 -0.184265 In -0.195977 -0.172553 28/5 4/1 1 3 -0.178082 In -0.184014 -0.172151 29/5 0 6 31/5 0 6 32/5 -2/1 1 3 -0.157106 In -0.180817 -0.133394 33/5 -1/1 1 2 -0.152044 In -0.176729 -0.127359 34/5 0 3 36/5 0/1 1 1 -0.138889 In -0.166667 -0.111111 37/5 0 6 38/5 0 3 39/5 -1/1 1 2 -0.128576 In -0.149038 -0.108114 41/5 0 6 42/5 1/1 1 1 -0.118548 In -0.139535 -0.097561 43/5 0 6 44/5 2/3 1 3 -0.112681 In -0.149089 -0.076273 46/5 0 3 47/5 0 6 48/5 2/1 1 1 -0.103478 In -0.120000 -0.086957 49/5 0 6 -49/6 0 6 -47/6 0 6 -43/6 0 6 -41/6 0 6 -37/6 0 6 -35/6 0 6 -31/6 0 6 -29/6 0 6 -25/6 0 6 -23/6 0 6 -19/6 0 6 -17/6 0 6 -13/6 0 6 -11/6 0 6 -7/6 0 6 -5/6 0 6 -1/6 0 6 1/6 0 6 5/6 0 6 7/6 0 6 11/6 0 6 13/6 0 6 17/6 0 6 19/6 0 6 23/6 0 6 25/6 0 6 29/6 0 6 31/6 0 6 35/6 0 6 37/6 0 6 41/6 0 6 43/6 0 6 47/6 0 6 49/6 0 6 -50/7 0 3 -48/7 2/1 1 1 0.146957 In 0.120000 0.173913 -47/7 0 6 -46/7 0 3 -45/7 3/1 1 2 0.156644 In 0.133547 0.179742 -44/7 4/1 1 3 0.160221 In 0.138690 0.181752 -43/7 0 6 -41/7 0 6 -40/7 -2/1 1 3 0.174729 In 0.165339 0.184119 -39/7 -1/1 1 2 0.179217 In 0.164336 0.194099 -38/7 0 3 -37/7 0 6 -36/7 0/1 1 1 0.194444 In 0.166667 0.222222 -34/7 0 3 -33/7 1/1 1 2 0.212678 In 0.186693 0.238663 -32/7 2/1 1 3 0.219687 In 0.193718 0.245657 -31/7 0 6 -30/7 -1/1 1 1 0.232481 In 0.206897 0.258065 -29/7 0 6 -27/7 1/3 1 2 0.261496 In 0.176080 0.346912 -26/7 0 3 -25/7 0 6 -24/7 0/1 1 1 0.291667 In 0.250000 0.333333 -23/7 0 6 -22/7 0 3 -20/7 4/3 1 3 0.364865 In 0.236131 0.493598 -19/7 0 6 -18/7 1/1 1 1 0.393189 In 0.315789 0.470588 -17/7 0 6 -16/7 2/1 1 3 0.442408 In 0.374396 0.510421 -15/7 1/1 1 2 0.469933 In 0.400640 0.539226 -13/7 0 6 -12/7 2/1 1 1 0.614286 In 0.428571 0.800000 -11/7 0 6 -10/7 0 3 -9/7 1/1 1 2 0.788820 In 0.648277 0.929363 -8/7 2/1 1 3 0.904255 In 0.701569 1.106942 -6/7 1/1 1 1 1.228571 In 0.857143 1.600000 -5/7 0 6 -4/7 2/1 1 3 1.954545 In 1.245979 2.663112 -3/7 1/1 1 2 2.529412 In 1.697521 3.361302 -2/7 0 3 -1/7 0 6 1/7 0 6 2/7 0 3 3/7 1/1 1 2 -2.411765 In -2.744521 -2.079009 4/7 0/1 1 3 -1.750000 In -1.894338 -1.605662 5/7 0 6 6/7 1/1 1 1 -1.171429 In -1.200000 -1.142857 8/7 0/1 1 3 -0.875000 In -0.947169 -0.802831 9/7 1/1 1 2 -0.776398 In -0.793965 -0.758830 10/7 0 3 11/7 0 6 12/7 0/1 1 1 -0.583333 In -0.666667 -0.500000 13/7 0 6 15/7 1/1 1 2 -0.465479 In -0.490676 -0.440281 16/7 0/1 1 3 -0.437500 In -0.473584 -0.401416 17/7 0 6 18/7 1/1 1 1 -0.386997 In -0.421053 -0.352941 19/7 0 6 20/7 2/3 1 3 -0.346154 In -0.412771 -0.279537 22/7 0 3 23/7 0 6 24/7 2/1 1 1 -0.290210 In -0.307692 -0.272727 25/7 0 6 26/7 0 3 27/7 5/3 1 2 -0.253315 In -0.298712 -0.207918 29/7 0 6 30/7 3/1 1 1 -0.232323 In -0.242424 -0.222222 31/7 0 6 32/7 0/1 1 3 -0.218750 In -0.236792 -0.200708 33/7 1/1 1 2 -0.211759 In -0.228649 -0.194869 34/7 0 3 36/7 2/1 1 1 -0.193498 In -0.210526 -0.176471 37/7 0 6 38/7 0 3 39/7 3/1 1 2 -0.179031 In -0.187424 -0.170638 40/7 4/1 1 3 -0.174749 In -0.179094 -0.170405 41/7 0 6 43/7 0 6 44/7 -2/1 1 3 -0.159545 In -0.176854 -0.142237 45/7 -1/1 1 2 -0.155841 In -0.174003 -0.137679 46/7 0 3 47/7 0 6 48/7 0/1 1 1 -0.145833 In -0.166667 -0.125000 50/7 0 3 -49/8 0 6 -47/8 0 6 -45/8 1/0 1 2 0.177822 In 0.175027 0.180616 -43/8 0 6 -41/8 0 6 -39/8 1/0 1 2 0.205196 In 0.201475 0.208916 -37/8 0 6 -35/8 0 6 -33/8 -1/2 1 2 0.241617 In 0.203939 0.279295 -31/8 0 6 -29/8 0 6 -27/8 1/2 1 2 0.297872 In 0.237693 0.358052 -25/8 0 6 -23/8 0 6 -21/8 1/0 1 2 0.381385 In 0.368543 0.394227 -19/8 0 6 -17/8 0 6 -15/8 1/0 1 2 0.534521 In 0.509324 0.559719 -13/8 0 6 -11/8 0 6 -9/8 1/0 1 2 0.894410 In 0.824138 0.964681 -7/8 0 6 -5/8 0 6 -3/8 1/0 1 2 2.823529 In 2.158017 3.489042 -1/8 0 6 1/8 0 6 3/8 1/0 1 2 -2.823529 In -3.489042 -2.158017 5/8 0 6 7/8 0 6 9/8 1/0 1 2 -0.894410 In -0.964681 -0.824138 11/8 0 6 13/8 0 6 15/8 1/0 1 2 -0.534521 In -0.559719 -0.509324 17/8 0 6 19/8 0 6 21/8 1/0 1 2 -0.381385 In -0.394227 -0.368543 23/8 0 6 25/8 0 6 27/8 3/2 1 2 -0.293996 In -0.323276 -0.264716 29/8 0 6 31/8 0 6 33/8 5/2 1 2 -0.240595 In -0.257673 -0.223516 35/8 0 6 37/8 0 6 39/8 1/0 1 2 -0.205196 In -0.208916 -0.201475 41/8 0 6 43/8 0 6 45/8 1/0 1 2 -0.177822 In -0.180616 -0.175027 47/8 0 6 49/8 0 6 -50/9 0 3 -49/9 0 6 -47/9 0 6 -46/9 0 3 -44/9 0/1 1 3 0.204545 In 0.191424 0.217667 -43/9 0 6 -41/9 0 6 -40/9 -2/1 1 3 0.224771 In 0.216825 0.232716 -38/9 0 3 -37/9 0 6 -35/9 0 6 -34/9 0 3 -32/9 0/1 1 3 0.281250 In 0.263208 0.299292 -31/9 0 6 -29/9 0 6 -28/9 4/5 1 3 0.332192 In 0.201695 0.462689 -26/9 0 3 -25/9 0 6 -23/9 0 6 -22/9 0 3 -20/9 0/1 1 3 0.450000 In 0.421132 0.478868 -19/9 0 6 -17/9 0 6 -16/9 2/1 1 3 0.568063 In 0.490982 0.645144 -14/9 0 3 -13/9 0 6 -11/9 0 6 -10/9 0 3 -8/9 0/1 1 3 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