SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 28 -50/1 0/1 1 28 0.020000 In 0.016220 0.023780 -49/1 1/0 1 14 0.020409 In 0.020297 0.020520 -48/1 1/0 2 4 0.020838 In 0.020531 0.021145 -47/1 0 7 -46/1 2/1 1 28 0.021774 In 0.017487 0.026062 -45/1 1/0 1 14 0.022223 In 0.022091 0.022355 -44/1 0/1 1 28 0.022727 In 0.018432 0.027022 -43/1 0 7 -42/1 2/1 1 28 0.023852 In 0.019138 0.028566 -41/1 1/0 2 2 0.024405 In 0.023810 0.025000 -40/1 0/1 1 28 0.025000 In 0.020275 0.029725 -39/1 0 7 -38/1 -2/1 1 28 0.026269 In 0.021557 0.030981 -37/1 1/0 1 14 0.027028 In 0.026833 0.027224 -36/1 0/1 1 28 0.027778 In 0.022528 0.033027 -35/1 0 7 -34/1 1/0 2 4 0.029424 In 0.028813 0.030036 -33/1 1/0 1 14 0.030305 In 0.030060 0.030550 -32/1 0/1 1 28 0.031250 In 0.025344 0.037156 -31/1 0 7 -30/1 0/1 1 28 0.033333 In 0.027034 0.039633 -29/1 1/0 1 14 0.034486 In 0.034168 0.034804 -28/1 2/1 1 28 0.035812 In 0.028579 0.043045 -27/1 1/0 2 1 0.037139 In 0.035194 0.039084 -26/1 -2/1 1 28 0.038364 In 0.031653 0.045075 -25/1 1/0 1 14 0.040005 In 0.039577 0.040432 -24/1 0/1 1 28 0.041667 In 0.033792 0.049541 -23/1 0 7 -22/1 0/1 1 28 0.045455 In 0.036864 0.054045 -21/1 1/0 1 14 0.047627 In 0.047021 0.048233 -20/1 1/0 2 4 0.050063 In 0.048293 0.051833 -19/1 0 7 -18/1 0/1 1 28 0.055556 In 0.045057 0.066055 -17/1 1/0 1 14 0.058838 In 0.057913 0.059763 -16/1 2/1 1 28 0.062814 In 0.049519 0.076109 -15/1 0 7 -14/1 0/1 1 28 0.071429 In 0.057930 0.084927 -13/1 1/0 2 2 0.077381 In 0.071429 0.083333 -12/1 -2/1 1 28 0.082920 In 0.069783 0.096056 -11/1 0 7 -10/1 0/1 1 28 0.100000 In 0.081102 0.118898 -9/1 1/0 1 14 0.111209 In 0.107907 0.114512 -8/1 -2/1 1 28 0.124161 In 0.106404 0.141918 -7/1 0 7 -6/1 1/0 2 4 0.169014 In 0.149096 0.188933 -5/1 1/0 1 14 0.200573 In 0.189852 0.211294 -4/1 0/1 1 28 0.250000 In 0.202754 0.297246 -3/1 0 7 -2/1 0/1 1 28 0.500000 In 0.405509 0.594491 -1/1 1/0 1 14 1.076923 In 0.789103 1.364743 0/1 0/1 1 28 1/1 0 1 2/1 0/1 1 28 -0.500000 In 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-0.029361 29/1 1/0 2 1 -0.034565 In -0.036251 -0.032879 30/1 -2/1 1 28 -0.033418 In -0.040138 -0.026698 31/1 1/0 1 14 -0.032260 In -0.032539 -0.031982 32/1 0/1 1 28 -0.031250 In -0.037156 -0.025344 33/1 0 7 34/1 0/1 1 28 -0.029412 In -0.034970 -0.023853 35/1 1/0 1 14 -0.028573 In -0.028791 -0.028355 36/1 1/0 2 4 -0.027788 In -0.028334 -0.027243 37/1 0 7 38/1 0/1 1 28 -0.026316 In -0.031289 -0.021343 39/1 1/0 1 14 -0.025642 In -0.025818 -0.025467 40/1 2/1 1 28 -0.024958 In -0.029446 -0.020469 41/1 0 7 42/1 0/1 1 28 -0.023810 In -0.028309 -0.019310 43/1 1/0 2 2 -0.023268 In -0.023810 -0.022727 44/1 -2/1 1 28 -0.022766 In -0.027256 -0.018275 45/1 0 7 46/1 0/1 1 28 -0.021739 In -0.025847 -0.017631 47/1 1/0 1 14 -0.021277 In -0.021398 -0.021156 48/1 -2/1 1 28 -0.020866 In -0.024967 -0.016764 49/1 0 7 50/1 1/0 2 4 -0.020004 In -0.020287 -0.019721 -49/2 0 28 -47/2 0/1 1 4 0.042553 In 0.031915 0.053191 -45/2 0 28 -43/2 0 28 -41/2 0 28 -39/2 0 28 -37/2 0 28 -35/2 0 28 -33/2 0/1 1 4 0.060606 In 0.045455 0.075758 -31/2 0 28 -29/2 0 28 -27/2 0 28 -25/2 0 28 -23/2 0 28 -21/2 0 28 -19/2 0/1 1 4 0.105263 In 0.078947 0.131579 -17/2 0 28 -15/2 0 28 -13/2 0 28 -11/2 0 28 -9/2 0 28 -7/2 0 28 -5/2 0/1 1 4 0.400000 In 0.300000 0.500000 -3/2 0 28 -1/2 0 28 1/2 0 28 3/2 0 28 5/2 0 28 7/2 0 28 9/2 0/1 1 4 -0.222222 In -0.277778 -0.166667 11/2 0 28 13/2 0 28 15/2 0 28 17/2 0 28 19/2 0 28 21/2 0 28 23/2 0/1 1 4 -0.086957 In -0.108696 -0.065217 25/2 0 28 27/2 0 28 29/2 0 28 31/2 0 28 33/2 0 28 35/2 0 28 37/2 0/1 1 4 -0.054054 In -0.067568 -0.040541 39/2 0 28 41/2 0 28 43/2 0 28 45/2 0 28 47/2 0 28 49/2 0 28 -50/3 0/1 1 28 0.060000 In 0.056220 0.063780 -49/3 1/1 1 7 0.061288 In 0.053101 0.069474 -47/3 1/0 1 14 0.063832 In 0.063469 0.064195 -46/3 1/0 1 4 0.065225 In 0.064516 0.065934 -44/3 0/1 1 28 0.068182 In 0.063887 0.072477 -43/3 1/2 1 14 0.069847 In 0.056983 0.082712 -41/3 1/1 1 7 0.073262 In 0.063368 0.083156 -40/3 2/1 1 28 0.075051 In 0.069618 0.080485 -38/3 -4/1 1 28 0.078880 In 0.075476 0.082284 -37/3 -1/1 1 7 0.080985 In 0.071597 0.090373 -35/3 1/0 1 14 0.085719 In 0.085065 0.086374 -34/3 0/1 1 28 0.088235 In 0.082677 0.093794 -32/3 1/0 1 4 0.093773 In 0.092308 0.095238 -31/3 1/0 1 14 0.096781 In 0.095947 0.097616 -29/3 -1/1 1 7 0.103296 In 0.091609 0.114983 -28/3 0/1 1 28 0.107143 In 0.100393 0.113892 -26/3 2/1 1 28 0.115515 In 0.106567 0.124462 -25/3 1/0 6 1 0.121163 In 0.109292 0.133035 -23/3 -3/2 1 14 0.129782 In 0.111066 0.148498 -22/3 0/1 1 28 0.136364 In 0.127774 0.144954 -20/3 0/1 1 28 0.150000 In 0.140551 0.159449 -19/3 1/0 1 14 0.157926 In 0.155705 0.160147 -17/3 -1/1 1 7 0.176063 In 0.157745 0.194382 -16/3 0/1 1 28 0.187500 In 0.175689 0.199311 -14/3 4/1 1 28 0.215643 In 0.190501 0.240786 -13/3 -1/1 1 7 0.230118 In 0.207735 0.252502 -11/3 1/0 2 2 0.275000 In 0.250000 0.300000 -10/3 -4/3 1 28 0.297414 In 0.263201 0.331626 -8/3 0/1 1 28 0.375000 In 0.351377 0.398623 -7/3 1/0 1 14 0.429197 In 0.412810 0.445584 -5/3 1/1 1 7 0.609195 In 0.487552 0.730839 -4/3 1/0 1 4 0.761905 In 0.666667 0.857143 -2/3 0/1 1 28 1.500000 In 1.405509 1.594491 -1/3 -1/1 1 7 3.333333 In 2.451416 4.215250 1/3 1/0 1 14 -3.230769 In -4.094229 -2.367310 2/3 0/1 1 28 -1.500000 In -1.594491 -1.405509 4/3 0/1 1 28 -0.750000 In -0.797246 -0.702754 5/3 1/0 1 14 -0.601719 In -0.633882 -0.569556 7/3 1/1 1 7 -0.426901 In -0.457845 -0.395956 8/3 0/1 1 28 -0.375000 In -0.398623 -0.351377 10/3 1/0 1 4 -0.300752 In -0.315789 -0.285714 11/3 -1/1 1 7 -0.274232 In -0.318015 -0.230449 13/3 1/0 1 14 -0.230867 In -0.235613 -0.226121 14/3 0/1 1 28 -0.214286 In -0.227784 -0.200787 16/3 4/3 1 28 -0.186242 In -0.212877 -0.159607 17/3 1/0 2 2 -0.177083 In -0.187500 -0.166667 19/3 1/1 1 7 -0.157561 In -0.174320 -0.140803 20/3 -4/1 1 28 -0.150572 In -0.165712 -0.135432 22/3 0/1 1 28 -0.136364 In -0.144954 -0.127774 23/3 1/1 1 7 -0.130200 In -0.144494 -0.115906 25/3 1/0 1 14 -0.120014 In -0.121297 -0.118731 26/3 0/1 1 28 -0.115385 In -0.122653 -0.108116 28/3 0/1 1 28 -0.107143 In -0.113892 -0.100393 29/3 3/2 1 14 -0.103017 In -0.118601 -0.087434 31/3 1/0 6 1 -0.097382 In -0.105077 -0.089687 32/3 -2/1 1 28 -0.093833 In -0.100847 -0.086819 34/3 0/1 1 28 -0.088235 In -0.093794 -0.082677 35/3 1/1 1 7 -0.085608 In -0.095482 -0.075733 37/3 1/0 1 14 -0.081085 In -0.081671 -0.080500 38/3 1/0 1 4 -0.078961 In -0.080000 -0.077922 40/3 0/1 1 28 -0.075000 In -0.079725 -0.070275 41/3 1/0 1 14 -0.073174 In -0.073651 -0.072697 43/3 1/1 1 7 -0.069696 In -0.077873 -0.061518 44/3 4/1 1 28 -0.068128 In -0.071253 -0.065004 46/3 -2/1 1 28 -0.065256 In -0.069900 -0.060611 47/3 -1/1 1 7 -0.063899 In -0.072454 -0.055343 49/3 -1/2 1 14 -0.061286 In -0.072529 -0.050043 50/3 0/1 1 28 -0.060000 In -0.063780 -0.056220 -49/4 0 28 -47/4 0 28 -45/4 1/0 2 4 0.088911 In 0.087514 0.090308 -43/4 0 28 -41/4 0 28 -39/4 0 28 -37/4 0 28 -35/4 0 28 -33/4 0 28 -31/4 1/0 2 4 0.129099 In 0.126155 0.132044 -29/4 0 28 -27/4 0 28 -25/4 0 28 -23/4 0 28 -21/4 0 28 -19/4 0 28 -17/4 1/0 2 4 0.235702 In 0.225898 0.245506 -15/4 0 28 -13/4 0 28 -11/4 0 28 -9/4 0 28 -7/4 0 28 -5/4 0 28 -3/4 1/0 2 4 1.411765 In 1.079009 1.744521 -1/4 0 28 1/4 0 28 3/4 0 28 5/4 0 28 7/4 0 28 9/4 0 28 11/4 1/0 2 4 -0.365145 In -0.388618 -0.341673 13/4 0 28 15/4 0 28 17/4 0 28 19/4 0 28 21/4 0 28 23/4 0 28 25/4 1/0 2 4 -0.160128 In -0.164657 -0.155599 27/4 0 28 29/4 0 28 31/4 0 28 33/4 0 28 35/4 0 28 37/4 0 28 39/4 1/0 2 4 -0.102598 In -0.104458 -0.100738 41/4 0 28 43/4 0 28 45/4 0 28 47/4 0 28 49/4 0 28 -49/5 1/0 1 14 0.102044 In 0.101487 0.102600 -48/5 0/1 1 28 0.104167 In 0.100230 0.108104 -47/5 1/1 1 7 0.106455 In 0.097557 0.115352 -46/5 4/5 1 28 0.109063 In 0.086729 0.131396 -44/5 1/1 1 4 0.113780 In 0.101124 0.126437 -43/5 3/1 1 7 0.116592 In 0.104728 0.128456 -42/5 10/1 1 28 0.119492 In 0.109616 0.129368 -41/5 1/0 1 14 0.121956 In 0.121161 0.122751 -39/5 -1/1 1 7 0.128123 In 0.119674 0.136573 -38/5 -4/5 1 28 0.131136 In 0.108879 0.153394 -37/5 0/1 3 2 0.135135 In 0.102034 0.168236 -36/5 -2/1 1 28 0.138849 In 0.135057 0.142641 -34/5 0/1 1 28 0.147059 In 0.141501 0.152617 -33/5 1/0 1 14 0.151525 In 0.150298 0.152752 -32/5 2/1 1 28 0.156342 In 0.148589 0.164094 -31/5 3/1 1 7 0.161953 In 0.143837 0.180069 -29/5 1/0 1 14 0.172428 In 0.170839 0.174018 -28/5 -2/1 1 28 0.178513 In 0.174173 0.182853 -27/5 -1/1 1 7 0.185025 In 0.173617 0.196434 -26/5 0/1 1 28 0.192308 In 0.185039 0.199576 -24/5 0/1 1 28 0.208333 In 0.200459 0.216208 -23/5 1/0 8 1 0.220729 In 0.193585 0.247874 -22/5 -2/1 1 28 0.227192 In 0.222505 0.231879 -21/5 -5/2 1 14 0.237437 In 0.227093 0.247781 -19/5 1/1 1 7 0.263658 In 0.238520 0.288796 -18/5 -2/1 1 28 0.277680 In 0.273011 0.282348 -17/5 1/0 1 14 0.294190 In 0.289565 0.298815 -16/5 -1/1 1 4 0.311828 In 0.290323 0.333333 -14/5 0/1 1 28 0.357143 In 0.343644 0.370642 -13/5 -1/2 1 14 0.383932 In 0.350708 0.417156 -12/5 -2/1 1 28 0.416584 In 0.413957 0.419211 -11/5 -1/1 1 7 0.453901 In 0.435137 0.472665 -9/5 0/1 3 2 0.555556 In 0.419473 0.691638 -8/5 2/1 1 28 0.627517 In 0.574247 0.680787 -7/5 1/1 1 7 0.719298 In 0.626465 0.812132 -6/5 2/1 1 28 0.838645 In 0.754319 0.922972 -4/5 0/1 1 28 1.250000 In 1.202754 1.297246 -3/5 -1/1 1 7 1.677419 In 1.592073 1.762766 -2/5 -1/1 1 4 2.600000 In 2.200000 3.000000 -1/5 -1/2 1 14 5.230769 In 4.367310 6.094229 1/5 1/1 1 7 -5.666667 In -7.430501 -3.902832 2/5 0/1 1 28 -2.500000 In -2.594491 -2.405509 3/5 1/0 1 14 -1.680000 In -1.829666 -1.530334 4/5 0/1 1 28 -1.250000 In -1.297246 -1.202754 6/5 0/1 1 28 -0.833333 In -0.864830 -0.801836 7/5 1/0 1 14 -0.715328 In -0.742640 -0.688017 8/5 0/1 1 28 -0.625000 In -0.648623 -0.601377 9/5 -1/1 1 7 -0.558304 In -0.623746 -0.492861 11/5 1/2 1 14 -0.453633 In -0.491204 -0.416061 12/5 1/1 1 4 -0.415652 In -0.440000 -0.391304 13/5 1/1 1 7 -0.384095 In -0.402002 -0.366188 14/5 0/1 1 28 -0.357143 In -0.370642 -0.343644 16/5 -2/1 1 28 -0.312954 In -0.332158 -0.293749 17/5 -1/1 1 7 -0.294758 In -0.323544 -0.265971 18/5 -2/1 1 28 -0.278121 In -0.294460 -0.261782 19/5 0/1 3 2 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-0.111885 -0.105454 47/5 0/1 3 2 -0.106383 In -0.132441 -0.080325 48/5 4/5 1 28 -0.103882 In -0.121932 -0.085833 49/5 1/1 1 7 -0.101987 In -0.108914 -0.095061 -49/6 0 28 -47/6 0 28 -43/6 0/1 1 4 0.139535 In 0.127907 0.151163 -41/6 0 28 -37/6 0 28 -35/6 0 28 -31/6 0 28 -29/6 0/1 1 4 0.206897 In 0.189655 0.224138 -25/6 0 28 -23/6 0 28 -19/6 0 28 -17/6 0 28 -13/6 0 28 -11/6 0 28 -7/6 0 28 -5/6 0 28 -1/6 0/1 1 4 6.000000 In 5.500000 6.500000 1/6 0 28 5/6 0 28 7/6 0 28 11/6 0 28 13/6 0/1 1 4 -0.461538 In -0.500000 -0.423077 17/6 0 28 19/6 0 28 23/6 0 28 25/6 0 28 29/6 0 28 31/6 0 28 35/6 0 28 37/6 0 28 41/6 0/1 1 4 -0.146341 In -0.158537 -0.134146 43/6 0 28 47/6 0 28 49/6 0 28 -50/7 0/1 1 28 0.140000 In 0.136220 0.143780 -48/7 0/1 1 28 0.145833 In 0.141896 0.149770 -47/7 1/0 1 14 0.148941 In 0.148094 0.149788 -46/7 0/1 1 28 0.152174 In 0.148066 0.156282 -45/7 0 7 -44/7 2/1 1 28 0.159140 In 0.153477 0.164802 -43/7 1/0 1 14 0.162797 In 0.161785 0.163809 -41/7 0 7 -40/7 0/1 1 28 0.175000 In 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