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 21 -49/1 0 21 -48/1 0 21 -47/1 0 21 -46/1 0 21 -45/1 0 21 -44/1 0 21 -43/1 0 21 -42/1 0 21 -41/1 0 21 -40/1 0 21 -39/1 0 21 -38/1 0 21 -37/1 0 21 -36/1 0 21 -35/1 0 21 -34/1 0 21 -33/1 0 21 -32/1 0 21 -31/1 0 21 -30/1 0 21 -29/1 0 21 -28/1 0 21 -27/1 0 21 -26/1 0 21 -25/1 0 21 -24/1 0 21 -23/1 0 21 -22/1 0 21 -21/1 0 21 -20/1 0 21 -19/1 0 21 -18/1 0 21 -17/1 0 21 -16/1 0 21 -15/1 0 21 -14/1 0 21 -13/1 0 21 -12/1 0 21 -11/1 0 21 -10/1 0 21 -9/1 0 21 -8/1 0 21 -7/1 0 21 -6/1 0 21 -5/1 0 21 -4/1 0 21 -3/1 0 21 -2/1 0 21 -1/1 0 21 0/1 0 21 1/1 0 21 2/1 0 21 3/1 0 21 4/1 0 21 5/1 0 21 6/1 0 21 7/1 0 21 8/1 0 21 9/1 0 21 10/1 0 21 11/1 0 21 12/1 0 21 13/1 0 21 14/1 0 21 15/1 0 21 16/1 0 21 17/1 0 21 18/1 0 21 19/1 0 21 20/1 0 21 21/1 0 21 22/1 0 21 23/1 0 21 24/1 0 21 25/1 0 21 26/1 0 21 27/1 0 21 28/1 0 21 29/1 0 21 30/1 0 21 31/1 0 21 32/1 0 21 33/1 0 21 34/1 0 21 35/1 0 21 36/1 0 21 37/1 0 21 38/1 0 21 39/1 0 21 40/1 0 21 41/1 0 21 42/1 0 21 43/1 0 21 44/1 0 21 45/1 0 21 46/1 0 21 47/1 0 21 48/1 0 21 49/1 0 21 50/1 0 21 -49/2 2/1 1 21 0.040859 In 0.036042 0.045677 -47/2 0/1 1 21 0.042553 In 0.037910 0.047196 -45/2 2/1 1 21 0.044496 In 0.039215 0.049776 -43/2 0/1 1 21 0.046512 In 0.041437 0.051586 -41/2 2/1 1 21 0.048843 In 0.043000 0.054685 -39/2 0/1 1 21 0.051282 In 0.045687 0.056877 -37/2 2/1 1 21 0.054131 In 0.047595 0.060667 -35/2 0/1 1 21 0.057143 In 0.050908 0.063378 -33/2 2/1 1 21 0.060704 In 0.053289 0.068120 -31/2 0/1 1 21 0.064516 In 0.057477 0.071555 -29/2 2/1 1 21 0.069094 In 0.060530 0.077659 -27/2 0/1 1 21 0.074074 In 0.065992 0.082156 -25/2 2/1 1 21 0.080177 In 0.070048 0.090305 -23/2 0/1 1 21 0.086957 In 0.077469 0.096444 -21/2 2/1 1 21 0.095495 In 0.083119 0.107871 -19/2 0/1 1 21 0.105263 In 0.093778 0.116748 -17/2 2/1 1 21 0.118054 In 0.102187 0.133922 -15/2 0/1 1 21 0.133333 In 0.118785 0.147881 -13/2 2/1 1 21 0.154584 In 0.132608 0.176560 -11/2 0/1 1 21 0.181818 In 0.161980 0.201656 -9/2 2/1 1 21 0.223925 In 0.188819 0.259030 -7/2 0/1 1 21 0.285714 In 0.254540 0.316888 -5/2 2/1 1 21 0.406910 In 0.327748 0.486071 -3/2 0/1 1 21 0.666667 In 0.593927 0.739406 -1/2 2/1 1 21 2.588235 In 1.240419 3.936052 1/2 0/1 1 21 -2.000000 In -2.218218 -1.781782 3/2 2/1 1 21 -0.670270 In -0.695041 -0.645500 5/2 0/1 1 21 -0.400000 In -0.443644 -0.356356 7/2 2/1 1 21 -0.284878 In -0.298290 -0.271466 9/2 0/1 1 21 -0.222222 In -0.246469 -0.197976 11/2 2/1 1 21 -0.181317 In -0.193961 -0.168672 13/2 0/1 1 21 -0.153846 In -0.170632 -0.137060 15/2 2/1 1 21 -0.133023 In -0.143700 -0.122345 17/2 0/1 1 21 -0.117647 In -0.130483 -0.104811 19/2 2/1 1 21 -0.105055 In -0.114127 -0.095983 21/2 0/1 1 21 -0.095238 In -0.105629 -0.084847 23/2 2/1 1 21 -0.086808 In -0.094648 -0.078967 25/2 0/1 1 21 -0.080000 In -0.088729 -0.071271 27/2 2/1 1 21 -0.073963 In -0.080849 -0.067076 29/2 0/1 1 21 -0.068966 In -0.076490 -0.061441 31/2 2/1 1 21 -0.064430 In -0.070562 -0.058298 33/2 0/1 1 21 -0.060606 In -0.067219 -0.053993 35/2 2/1 1 21 -0.057074 In -0.062597 -0.051551 37/2 0/1 1 21 -0.054054 In -0.059952 -0.048156 39/2 2/1 1 21 -0.051226 In -0.056248 -0.046204 41/2 0/1 1 21 -0.048780 In -0.054103 -0.043458 43/2 2/1 1 21 -0.046465 In -0.051068 -0.041862 45/2 0/1 1 21 -0.044444 In -0.049294 -0.039595 47/2 2/1 1 21 -0.042514 In -0.046762 -0.038266 49/2 0/1 1 21 -0.040816 In -0.045270 -0.036363 -50/3 0 7 -49/3 0 7 -47/3 0 7 -46/3 0 7 -44/3 0 7 -43/3 0 7 -41/3 0 7 -40/3 0 7 -38/3 0 7 -37/3 0 7 -35/3 0 7 -34/3 0 7 -32/3 0 7 -31/3 0 7 -29/3 0 7 -28/3 0 7 -26/3 0 7 -25/3 0 7 -23/3 0 7 -22/3 0 7 -20/3 0 7 -19/3 0 7 -17/3 0 7 -16/3 0 7 -14/3 0 7 -13/3 0 7 -11/3 0 7 -10/3 0 7 -8/3 0 7 -7/3 0 7 -5/3 0 7 -4/3 0 7 -2/3 0 7 -1/3 0 7 1/3 0 7 2/3 0 7 4/3 0 7 5/3 0 7 7/3 0 7 8/3 0 7 10/3 0 7 11/3 0 7 13/3 0 7 14/3 0 7 16/3 0 7 17/3 0 7 19/3 0 7 20/3 0 7 22/3 0 7 23/3 0 7 25/3 0 7 26/3 0 7 28/3 0 7 29/3 0 7 31/3 0 7 32/3 0 7 34/3 0 7 35/3 0 7 37/3 0 7 38/3 0 7 40/3 0 7 41/3 0 7 43/3 0 7 44/3 0 7 46/3 0 7 47/3 0 7 49/3 0 7 50/3 0 7 -49/4 0/1 1 21 0.081633 In 0.077179 0.086086 -47/4 2/1 1 21 0.085157 In 0.079723 0.090591 -45/4 2/1 1 21 0.088944 In 0.083232 0.094656 -43/4 0/1 1 21 0.093023 In 0.087948 0.098098 -41/4 0/1 1 21 0.097561 In 0.092239 0.102883 -39/4 2/1 1 21 0.102640 In 0.095896 0.109384 -37/4 2/1 1 21 0.108193 In 0.101019 0.115367 -35/4 0/1 1 21 0.114286 In 0.108051 0.120521 -33/4 0/1 1 21 0.121212 In 0.114599 0.127825 -31/4 2/1 1 21 0.129157 In 0.120299 0.138015 -29/4 2/1 1 21 0.138076 In 0.128473 0.147678 -27/4 0/1 1 21 0.148148 In 0.140066 0.156230 -25/4 0/1 1 21 0.160000 In 0.151271 0.168729 -23/4 2/1 1 21 0.174156 In 0.161363 0.186948 -21/4 2/1 1 21 0.190775 In 0.176418 0.205131 -19/4 0/1 1 21 0.210526 In 0.199041 0.222011 -17/4 0/1 1 21 0.235294 In 0.222458 0.248130 -15/4 2/1 1 21 0.267316 In 0.244991 0.289642 -13/4 2/1 1 21 0.308604 In 0.281457 0.335750 -11/4 0/1 1 21 0.363636 In 0.343798 0.383474 -9/4 0/1 1 21 0.444444 In 0.420198 0.468691 -7/4 2/1 1 21 0.575610 In 0.508548 0.642672 -5/4 2/1 1 21 0.809981 In 0.695636 0.924325 -3/4 0/1 1 21 1.333333 In 1.260594 1.406073 -1/4 0/1 1 21 4.000000 In 3.781782 4.218218 1/4 2/1 1 21 -4.823529 In -6.710472 -2.936586 3/4 2/1 1 21 -1.351351 In -1.475205 -1.227498 5/4 0/1 1 21 -0.800000 In -0.843644 -0.756356 7/4 0/1 1 21 -0.571429 In -0.602603 -0.540255 9/4 2/1 1 21 -0.444313 In -0.447014 -0.441613 11/4 2/1 1 21 -0.363421 In -0.368840 -0.358002 13/4 0/1 1 21 -0.307692 In -0.324478 -0.290906 15/4 0/1 1 21 -0.266667 In -0.281215 -0.252119 17/4 2/1 1 21 -0.235120 In -0.241920 -0.228319 19/4 2/1 1 21 -0.210373 In -0.217026 -0.203721 21/4 0/1 1 21 -0.190476 In -0.200868 -0.180085 23/4 0/1 1 21 -0.173913 In -0.183401 -0.164425 25/4 2/1 1 21 -0.159896 In -0.165834 -0.153959 27/4 2/1 1 21 -0.148056 In -0.153745 -0.142367 29/4 0/1 1 21 -0.137931 In -0.145456 -0.130406 31/4 0/1 1 21 -0.129032 In -0.136072 -0.121993 33/4 2/1 1 21 -0.121146 In -0.126156 -0.116135 35/4 2/1 1 21 -0.114226 In -0.119036 -0.109415 37/4 0/1 1 21 -0.108108 In -0.114006 -0.102210 39/4 0/1 1 21 -0.102564 In -0.108159 -0.096969 41/4 2/1 1 21 -0.097515 In -0.101800 -0.093231 43/4 2/1 1 21 -0.092981 In -0.097112 -0.088850 45/4 0/1 1 21 -0.088889 In -0.093738 -0.084040 47/4 0/1 1 21 -0.085106 In -0.089749 -0.080463 49/4 2/1 1 21 -0.081599 In -0.085326 -0.077873 -49/5 0 21 -48/5 0 21 -47/5 0 21 -46/5 0 21 -44/5 0 21 -43/5 0 21 -42/5 0 21 -41/5 0 21 -39/5 0 21 -38/5 0 21 -37/5 0 21 -36/5 0 21 -34/5 0 21 -33/5 0 21 -32/5 0 21 -31/5 0 21 -29/5 0 21 -28/5 0 21 -27/5 0 21 -26/5 0 21 -24/5 0 21 -23/5 0 21 -22/5 0 21 -21/5 0 21 -19/5 0 21 -18/5 0 21 -17/5 0 21 -16/5 0 21 -14/5 0 21 -13/5 0 21 -12/5 0 21 -11/5 0 21 -9/5 0 21 -8/5 0 21 -7/5 0 21 -6/5 0 21 -4/5 0 21 -3/5 0 21 -2/5 0 21 -1/5 0 21 1/5 0 21 2/5 0 21 3/5 0 21 4/5 0 21 6/5 0 21 7/5 0 21 8/5 0 21 9/5 0 21 11/5 0 21 12/5 0 21 13/5 0 21 14/5 0 21 16/5 0 21 17/5 0 21 18/5 0 21 19/5 0 21 21/5 0 21 22/5 0 21 23/5 0 21 24/5 0 21 26/5 0 21 27/5 0 21 28/5 0 21 29/5 0 21 31/5 0 21 32/5 0 21 33/5 0 21 34/5 0 21 36/5 0 21 37/5 0 21 38/5 0 21 39/5 0 21 41/5 0 21 42/5 0 21 43/5 0 21 44/5 0 21 46/5 0 21 47/5 0 21 48/5 0 21 49/5 0 21 -49/6 0/1 1 7 0.122449 In 0.114735 0.130163 -47/6 2/1 1 7 0.127822 In 0.117724 0.137920 -43/6 2/1 1 7 0.139733 In 0.128486 0.150979 -41/6 0/1 1 7 0.146341 In 0.137123 0.155560 -37/6 0/1 1 7 0.162162 In 0.151947 0.172377 -35/6 2/1 1 7 0.171742 In 0.157234 0.186250 -31/6 2/1 1 7 0.193961 In 0.177039 0.210883 -29/6 0/1 1 7 0.206897 In 0.193863 0.219930 -25/6 0/1 1 7 0.240000 In 0.224881 0.255119 -23/6 2/1 1 7 0.261692 In 0.236658 0.286726 -19/6 2/1 1 7 0.317083 In 0.284575 0.349591 -17/6 0/1 1 7 0.352941 In 0.330708 0.375174 -13/6 0/1 1 7 0.461538 In 0.432464 0.490613 -11/6 2/1 1 7 0.550415 In 0.478230 0.622601 -7/6 2/1 1 7 0.873156 In 0.724869 1.021443 -5/6 0/1 1 7 1.200000 In 1.124407 1.275593 -1/6 0/1 1 7 6.000000 In 5.622036 6.377964 1/6 2/1 1 7 -13.333333 In -23.034421 -3.632245 5/6 2/1 1 7 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