SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 1/0 1 1 -50/1 -50/1 1 26 -49/1 -49/1 1 26 -48/1 -48/1 1 26 -47/1 -47/1 1 26 -46/1 -46/1 1 26 -45/1 -45/1 1 26 -44/1 -44/1 1 26 -43/1 -43/1 1 26 -42/1 -42/1 1 26 -41/1 -41/1 1 26 -40/1 -40/1 1 26 -39/1 -39/1 1 26 -38/1 -38/1 1 26 -37/1 -37/1 1 26 -36/1 -36/1 1 26 -35/1 -35/1 1 26 -34/1 -34/1 1 26 -33/1 -33/1 1 26 -32/1 -32/1 1 26 -31/1 -31/1 1 26 -30/1 -30/1 1 26 -29/1 -29/1 1 26 -28/1 -28/1 1 26 -27/1 -27/1 1 26 -26/1 -26/1 1 26 -25/1 -25/1 1 26 -24/1 -24/1 1 26 -23/1 -23/1 1 26 -22/1 -22/1 1 26 -21/1 -21/1 1 26 -20/1 -20/1 1 26 -19/1 -19/1 1 26 -18/1 -18/1 1 26 -17/1 -17/1 1 26 -16/1 -16/1 1 26 -15/1 -15/1 1 26 -14/1 -14/1 1 26 -13/1 -13/1 1 26 -12/1 -12/1 1 26 -11/1 -11/1 1 26 -10/1 -10/1 1 26 -9/1 -9/1 1 26 -8/1 -8/1 1 26 -7/1 -7/1 1 26 -6/1 -6/1 1 26 -5/1 -5/1 1 26 -4/1 -4/1 1 26 -3/1 -3/1 1 26 -2/1 -2/1 1 26 -1/1 -1/1 1 26 0/1 0/1 1 26 1/1 1/1 1 26 2/1 2/1 1 26 3/1 3/1 1 26 4/1 4/1 1 26 5/1 5/1 1 26 6/1 6/1 1 26 7/1 7/1 1 26 8/1 8/1 1 26 9/1 9/1 1 26 10/1 10/1 1 26 11/1 11/1 1 26 12/1 12/1 1 26 13/1 13/1 1 26 14/1 14/1 1 26 15/1 15/1 1 26 16/1 16/1 1 26 17/1 17/1 1 26 18/1 18/1 1 26 19/1 19/1 1 26 20/1 20/1 1 26 21/1 21/1 1 26 22/1 22/1 1 26 23/1 23/1 1 26 24/1 24/1 1 26 25/1 25/1 1 26 26/1 26/1 1 26 27/1 27/1 1 26 28/1 28/1 1 26 29/1 29/1 1 26 30/1 30/1 1 26 31/1 31/1 1 26 32/1 32/1 1 26 33/1 33/1 1 26 34/1 34/1 1 26 35/1 35/1 1 26 36/1 36/1 1 26 37/1 37/1 1 26 38/1 38/1 1 26 39/1 39/1 1 26 40/1 40/1 1 26 41/1 41/1 1 26 42/1 42/1 1 26 43/1 43/1 1 26 44/1 44/1 1 26 45/1 45/1 1 26 46/1 46/1 1 26 47/1 47/1 1 26 48/1 48/1 1 26 49/1 49/1 1 26 50/1 50/1 1 26 -49/2 0 13 -47/2 0 13 -45/2 0 13 -43/2 0 13 -41/2 0 13 -39/2 0 13 -37/2 0 13 -35/2 0 13 -33/2 0 13 -31/2 0 13 -29/2 0 13 -27/2 0 13 -25/2 0 13 -23/2 0 13 -21/2 0 13 -19/2 0 13 -17/2 0 13 -15/2 0 13 -13/2 0 13 -11/2 0 13 -9/2 0 13 -7/2 0 13 -5/2 0 13 -3/2 0 13 -1/2 0 13 1/2 0 13 3/2 0 13 5/2 0 13 7/2 0 13 9/2 0 13 11/2 0 13 13/2 0 13 15/2 0 13 17/2 0 13 19/2 0 13 21/2 0 13 23/2 0 13 25/2 0 13 27/2 0 13 29/2 0 13 31/2 0 13 33/2 0 13 35/2 0 13 37/2 0 13 39/2 0 13 41/2 0 13 43/2 0 13 45/2 0 13 47/2 0 13 49/2 0 13 -50/3 -16/1 1 26 0.059990 In 0.059833 0.060148 -49/3 -17/1 1 26 0.061236 In 0.061072 0.061400 -47/3 -15/1 1 26 0.063819 In 0.063640 0.063997 -46/3 -16/1 1 26 0.065230 In 0.065044 0.065416 -44/3 -14/1 1 26 0.068169 In 0.067966 0.068373 -43/3 -15/1 1 26 0.069782 In 0.069569 0.069995 -41/3 -13/1 1 26 0.073156 In 0.072922 0.073390 -40/3 -14/1 1 26 0.075017 In 0.074771 0.075263 -38/3 -12/1 1 26 0.078930 In 0.078658 0.079203 -37/3 -13/1 1 26 0.081101 In 0.080813 0.081389 -35/3 -11/1 1 26 0.085694 In 0.085373 0.086016 -34/3 -12/1 1 26 0.088259 In 0.087918 0.088600 -32/3 -10/1 1 26 0.093726 In 0.093342 0.094111 -31/3 -11/1 1 26 0.096803 In 0.096393 0.097213 -29/3 -9/1 1 26 0.103420 In 0.102952 0.103888 -28/3 -10/1 1 26 0.107178 In 0.106675 0.107681 -26/3 -8/1 1 26 0.115349 In 0.114767 0.115932 -25/3 -9/1 1 26 0.120045 In 0.119414 0.120675 -23/3 -7/1 1 26 0.130390 In 0.129646 0.131134 -22/3 -8/1 1 26 0.136422 In 0.135607 0.137236 -20/3 -6/1 1 26 0.149942 In 0.148958 0.150926 -19/3 -7/1 1 26 0.157974 In 0.156881 0.159066 -17/3 -5/1 1 26 0.176392 In 0.175030 0.177754 -16/3 -6/1 1 26 0.187613 In 0.186073 0.189154 -14/3 -4/1 1 26 0.214173 In 0.212166 0.216181 -13/3 -5/1 1 26 0.230945 In 0.228611 0.233279 -11/3 -3/1 1 26 0.272553 In 0.269303 0.275804 -10/3 -4/1 1 26 0.300310 In 0.296363 0.304256 -8/3 -2/1 1 26 0.374699 In 0.368555 0.380842 -7/3 -3/1 1 26 0.429249 In 0.421187 0.437311 -5/3 -1/1 1 26 0.599384 In 0.583670 0.615097 -4/3 -2/1 1 26 0.752427 In 0.727675 0.777180 -2/3 0/1 1 26 1.500000 In 1.401942 1.598058 -1/3 -1/1 1 26 3.080000 In 2.672078 3.487922 1/3 1/1 1 26 -3.080000 In -3.487922 -2.672078 2/3 0/1 1 26 -1.500000 In -1.598058 -1.401942 4/3 2/1 1 26 -0.752427 In -0.777180 -0.727675 5/3 1/1 1 26 -0.599384 In -0.615097 -0.583670 7/3 3/1 1 26 -0.429249 In -0.437311 -0.421187 8/3 2/1 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-0.075017 In -0.075263 -0.074771 41/3 13/1 1 26 -0.073156 In -0.073390 -0.072922 43/3 15/1 1 26 -0.069782 In -0.069995 -0.069569 44/3 14/1 1 26 -0.068169 In -0.068373 -0.067966 46/3 16/1 1 26 -0.065230 In -0.065416 -0.065044 47/3 15/1 1 26 -0.063819 In -0.063997 -0.063640 49/3 17/1 1 26 -0.061236 In -0.061400 -0.061072 50/3 16/1 1 26 -0.059990 In -0.060148 -0.059833 -49/4 -25/2 1 13 0.081666 In 0.081430 0.081902 -47/4 -23/2 1 13 0.085072 In 0.084816 0.085327 -45/4 -23/2 1 13 0.088929 In 0.088649 0.089208 -43/4 -21/2 1 13 0.092982 In 0.092676 0.093287 -41/4 -21/2 1 13 0.097609 In 0.097272 0.097946 -39/4 -19/2 1 13 0.102514 In 0.102142 0.102885 -37/4 -19/2 1 13 0.108167 In 0.107753 0.108581 -35/4 -17/2 1 13 0.114224 In 0.113762 0.114685 -33/4 -17/2 1 13 0.121286 In 0.120766 0.121806 -31/4 -15/2 1 13 0.128953 In 0.128366 0.129541 -29/4 -15/2 1 13 0.138028 In 0.137354 0.138701 -27/4 -13/2 1 13 0.148045 In 0.147270 0.148819 -25/4 -13/2 1 13 0.160131 In 0.159224 0.161037 -23/4 -11/2 1 13 0.173771 In 0.172704 0.174839 -21/4 -11/2 1 13 0.190663 In 0.189378 0.191948 -19/4 -9/2 1 13 0.210321 In 0.208757 0.211884 -17/4 -9/2 1 13 0.235582 In 0.233620 0.237544 -15/4 -7/2 1 13 0.266342 In 0.263835 0.268849 -13/4 -7/2 1 13 0.308194 In 0.304837 0.311551 -11/4 -5/2 1 13 0.363049 In 0.358391 0.367707 -9/4 -5/2 1 13 0.445525 In 0.438511 0.452540 -7/4 -3/2 1 13 0.570064 In 0.558581 0.581546 -5/4 -3/2 1 13 0.803797 In 0.780978 0.826617 -3/4 -1/2 1 13 1.327586 In 1.265422 1.389751 -1/4 -1/2 1 13 4.166667 In 3.565741 4.767592 1/4 1/2 1 13 -4.166667 In -4.767592 -3.565741 3/4 1/2 1 13 -1.327586 In -1.389751 -1.265422 5/4 3/2 1 13 -0.803797 In -0.826617 -0.780978 7/4 3/2 1 13 -0.570064 In -0.581546 -0.558581 9/4 5/2 1 13 -0.445525 In -0.452540 -0.438511 11/4 5/2 1 13 -0.363049 In -0.367707 -0.358391 13/4 7/2 1 13 -0.308194 In -0.311551 -0.304837 15/4 7/2 1 13 -0.266342 In -0.268849 -0.263835 17/4 9/2 1 13 -0.235582 In -0.237544 -0.233620 19/4 9/2 1 13 -0.210321 In -0.211884 -0.208757 21/4 11/2 1 13 -0.190663 In -0.191948 -0.189378 23/4 11/2 1 13 -0.173771 In -0.174839 -0.172704 25/4 13/2 1 13 -0.160131 In -0.161037 -0.159224 27/4 13/2 1 13 -0.148045 In -0.148819 -0.147270 29/4 15/2 1 13 -0.138028 In -0.138701 -0.137354 31/4 15/2 1 13 -0.128953 In -0.129541 -0.128366 33/4 17/2 1 13 -0.121286 In -0.121806 -0.120766 35/4 17/2 1 13 -0.114224 In -0.114685 -0.113762 37/4 19/2 1 13 -0.108167 In -0.108581 -0.107753 39/4 19/2 1 13 -0.102514 In -0.102885 -0.102142 41/4 21/2 1 13 -0.097609 In -0.097946 -0.097272 43/4 21/2 1 13 -0.092982 In -0.093287 -0.092676 45/4 23/2 1 13 -0.088929 In -0.089208 -0.088649 47/4 23/2 1 13 -0.085072 In -0.085327 -0.084816 49/4 25/2 1 13 -0.081666 In -0.081902 -0.081430 -49/5 -9/1 1 26 0.102029 In 0.101702 0.102356 -48/5 -10/1 1 26 0.104174 In 0.104003 0.104344 -47/5 -9/1 1 26 0.106376 In 0.106198 0.106554 -46/5 -10/1 1 26 0.108711 In 0.108340 0.109083 -44/5 -8/1 1 26 0.113622 In 0.113216 0.114028 -43/5 -9/1 1 26 0.116288 In 0.116075 0.116500 -42/5 -8/1 1 26 0.119039 In 0.118817 0.119262 -41/5 -9/1 1 26 0.121971 In 0.121504 0.122439 -39/5 -7/1 1 26 0.128187 In 0.127671 0.128703 -38/5 -8/1 1 26 0.131590 In 0.131318 0.131862 -37/5 -7/1 1 26 0.135124 In 0.134838 0.135411 -36/5 -8/1 1 26 0.138915 In 0.138309 0.139522 -34/5 -6/1 1 26 0.147035 In 0.146356 0.147715 -33/5 -7/1 1 26 0.151530 In 0.151169 0.151891 -32/5 -6/1 1 26 0.156236 In 0.155852 0.156619 -31/5 -7/1 1 26 0.161327 In 0.160509 0.162144 -29/5 -5/1 1 26 0.172382 In 0.171448 0.173316 -28/5 -6/1 1 26 0.178592 In 0.178091 0.179094 -27/5 -5/1 1 26 0.185166 In 0.184627 0.185704 -26/5 -6/1 1 26 0.192360 In 0.191197 0.193523 -24/5 -4/1 1 26 0.208289 In 0.206925 0.209652 -23/5 -5/1 1 26 0.217423 In 0.216680 0.218166 -22/5 -4/1 1 26 0.227244 In 0.226432 0.228055 -21/5 -5/1 1 26 0.238178 In 0.236396 0.239961 -19/5 -3/1 1 26 0.263091 In 0.260915 0.265266 -18/5 -4/1 1 26 0.277831 In 0.276618 0.279044 -17/5 -3/1 1 26 0.294071 In 0.292712 0.295429 -16/5 -4/1 1 26 0.312651 In 0.309579 0.315722 -14/5 -2/1 1 26 0.357031 In 0.353025 0.361036 -13/5 -3/1 1 26 0.384721 In 0.382395 0.387046 -12/5 -2/1 1 26 0.416578 In 0.413851 0.419304 -11/5 -3/1 1 26 0.454893 In 0.448391 0.461395 -9/5 -1/1 1 26 0.555344 In 0.545655 0.565034 -8/5 -2/1 1 26 0.625301 In 0.619158 0.631445 -7/5 -1/1 1 26 0.714061 In 0.706050 0.722072 -6/5 -2/1 1 26 0.834764 In 0.812880 0.856648 -4/5 0/1 1 26 1.250000 In 1.200971 1.299029 -3/5 -1/1 1 26 1.669528 In 1.625759 1.713296 -2/5 0/1 1 26 2.500000 In 2.401942 2.598058 -1/5 -1/1 1 26 5.160000 In 4.344157 5.975843 1/5 1/1 1 26 -5.160000 In -5.975843 -4.344157 2/5 0/1 1 26 -2.500000 In -2.598058 -2.401942 3/5 1/1 1 26 -1.669528 In -1.713296 -1.625759 4/5 0/1 1 26 -1.250000 In -1.299029 -1.200971 6/5 2/1 1 26 -0.834764 In -0.856648 -0.812880 7/5 1/1 1 26 -0.714061 In -0.722072 -0.706050 8/5 2/1 1 26 -0.625301 In -0.631445 -0.619158 9/5 1/1 1 26 -0.555344 In -0.565034 -0.545655 11/5 3/1 1 26 -0.454893 In -0.461395 -0.448391 12/5 2/1 1 26 -0.416578 In -0.419304 -0.413851 13/5 3/1 1 26 -0.384721 In -0.387046 -0.382395 14/5 2/1 1 26 -0.357031 In -0.361036 -0.353025 16/5 4/1 1 26 -0.312651 In -0.315722 -0.309579 17/5 3/1 1 26 -0.294071 In -0.295429 -0.292712 18/5 4/1 1 26 -0.277831 In -0.279044 -0.276618 19/5 3/1 1 26 -0.263091 In -0.265266 -0.260915 21/5 5/1 1 26 -0.238178 In -0.239961 -0.236396 22/5 4/1 1 26 -0.227244 In -0.228055 -0.226432 23/5 5/1 1 26 -0.217423 In -0.218166 -0.216680 24/5 4/1 1 26 -0.208289 In -0.209652 -0.206925 26/5 6/1 1 26 -0.192360 In -0.193523 -0.191197 27/5 5/1 1 26 -0.185166 In -0.185704 -0.184627 28/5 6/1 1 26 -0.178592 In -0.179094 -0.178091 29/5 5/1 1 26 -0.172382 In -0.173316 -0.171448 31/5 7/1 1 26 -0.161327 In -0.162144 -0.160509 32/5 6/1 1 26 -0.156236 In -0.156619 -0.155852 33/5 7/1 1 26 -0.151530 In -0.151891 -0.151169 34/5 6/1 1 26 -0.147035 In -0.147715 -0.146356 36/5 8/1 1 26 -0.138915 In -0.139522 -0.138309 37/5 7/1 1 26 -0.135124 In -0.135411 -0.134838 38/5 8/1 1 26 -0.131590 In -0.131862 -0.131318 39/5 7/1 1 26 -0.128187 In -0.128703 -0.127671 41/5 9/1 1 26 -0.121971 In -0.122439 -0.121504 42/5 8/1 1 26 -0.119039 In -0.119262 -0.118817 43/5 9/1 1 26 -0.116288 In -0.116500 -0.116075 44/5 8/1 1 26 -0.113622 In -0.114028 -0.113216 46/5 10/1 1 26 -0.108711 In -0.109083 -0.108340 47/5 9/1 1 26 -0.106376 In -0.106554 -0.106198 48/5 10/1 1 26 -0.104174 In -0.104344 -0.104003 49/5 9/1 1 26 -0.102029 In -0.102356 -0.101702 -49/6 0 13 -47/6 0 13 -43/6 0 13 -41/6 0 13 -37/6 0 13 -35/6 0 13 -31/6 0 13 -29/6 0 13 -25/6 0 13 -23/6 0 13 -19/6 0 13 -17/6 0 13 -13/6 0 13 -11/6 0 13 -7/6 0 13 -5/6 0 13 -1/6 0 13 1/6 0 13 5/6 0 13 7/6 0 13 11/6 0 13 13/6 0 13 17/6 0 13 19/6 0 13 23/6 0 13 25/6 0 13 29/6 0 13 31/6 0 13 35/6 0 13 37/6 0 13 41/6 0 13 43/6 0 13 47/6 0 13 49/6 0 13 -50/7 -6/1 1 26 0.139985 In 0.139357 0.140613 -48/7 -8/1 1 26 0.145856 In 0.145174 0.146537 -47/7 -5/1 1 26 0.148914 In 0.147848 0.149980 -46/7 -6/1 1 26 0.152164 In 0.151793 0.152535 -45/7 -7/1 1 26 0.155567 In 0.155180 0.155955 -44/7 -8/1 1 26 0.159134 In 0.157917 0.160351 -43/7 -5/1 1 26 0.162771 In 0.161922 0.163620 -41/7 -7/1 1 26 0.170763 In 0.169829 0.171697 -40/7 -4/1 1 26 0.174971 In 0.173500 0.176443 -39/7 -5/1 1 26 0.179474 In 0.178958 0.179990 -38/7 -6/1 1 26 0.184227 In 0.183684 0.184771 -37/7 -7/1 1 26 0.189253 In 0.187532 0.190974 -36/7 -4/1 1 26 0.194418 In 0.193207 0.195629 -34/7 -6/1 1 26 0.205929 In 0.204571 0.207288 -33/7 -3/1 1 26 0.212083 In 0.209921 0.214244 -32/7 -4/1 1 26 0.218731 In 0.217965 0.219498 -31/7 -5/1 1 26 0.225832 In 0.225015 0.226649 -30/7 -6/1 1 26 0.233436 In 0.230817 0.236055 -29/7 -3/1 1 26 0.241341 In 0.239475 0.243208 -27/7 -5/1 1 26 0.259338 In 0.257183 0.261493 -26/7 -2/1 1 26 0.269178 In 0.265696 0.272660 -25/7 -3/1 1 26 0.279970 In 0.278715 0.281226 -24/7 -4/1 1 26 0.291711 In 0.290348 0.293075 -23/7 -5/1 1 26 0.304538 In 0.300081 0.308995 -22/7 -2/1 1 26 0.318124 In 0.314881 0.321367 -20/7 -4/1 1 26 0.350154 In 0.346226 0.354082 -19/7 -1/1 1 26 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