SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 2 -50/1 0/1 1 8 0.020000 In 0.012929 0.027071 -49/1 1/1 1 8 0.020461 In 0.013098 0.027824 -48/1 0/1 1 8 0.020833 In 0.013468 0.028199 -47/1 1/1 1 8 0.021334 In 0.013651 0.029017 -46/1 0/1 1 8 0.021739 In 0.014053 0.029425 -45/1 1/1 1 8 0.022285 In 0.014253 0.030317 -44/1 0/1 1 8 0.022727 In 0.014692 0.030763 -43/1 1/1 1 8 0.023325 In 0.014911 0.031739 -42/1 0/1 1 8 0.023810 In 0.015392 0.032227 -41/1 1/1 1 8 0.024466 In 0.015632 0.033301 -40/1 0/1 1 8 0.025000 In 0.016161 0.033839 -39/1 1/1 1 8 0.025725 In 0.016427 0.035024 -38/1 0/1 1 8 0.026316 In 0.017012 0.035620 -37/1 1/1 1 8 0.027121 In 0.017306 0.036935 -36/1 0/1 1 8 0.027778 In 0.017957 0.037599 -35/1 1/1 1 8 0.028676 In 0.018285 0.039068 -34/1 0/1 1 8 0.029412 In 0.019013 0.039810 -33/1 1/1 1 8 0.030421 In 0.019382 0.041461 -32/1 0/1 1 8 0.031250 In 0.020201 0.042299 -31/1 1/1 1 8 0.032392 In 0.020618 0.044167 -30/1 0/1 1 8 0.033333 In 0.021548 0.045118 -29/1 1/1 1 8 0.034637 In 0.022023 0.047250 -28/1 0/1 1 8 0.035714 In 0.023087 0.048341 -27/1 1/1 1 8 0.037215 In 0.023633 0.050797 -26/1 0/1 1 8 0.038462 In 0.024863 0.052060 -25/1 1/1 1 8 0.040208 In 0.025497 0.054919 -24/1 0/1 1 8 0.041667 In 0.026935 0.056398 -23/1 1/1 1 8 0.043725 In 0.027681 0.059769 -22/1 0/1 1 8 0.045455 In 0.029384 0.061525 -21/1 1/1 1 8 0.047916 In 0.030273 0.065559 -20/1 0/1 1 8 0.050000 In 0.032322 0.067678 -19/1 1/1 1 8 0.052996 In 0.033402 0.072590 -18/1 0/1 1 8 0.055556 In 0.035914 0.075197 -17/1 1/1 1 8 0.059282 In 0.037252 0.081312 -16/1 0/1 1 8 0.062500 In 0.040403 0.084597 -15/1 1/1 1 8 0.067260 In 0.042104 0.092415 -14/1 0/1 1 8 0.071429 In 0.046175 0.096682 -13/1 1/1 1 8 0.077720 In 0.048410 0.107030 -12/1 0/1 1 8 0.083333 In 0.053871 0.112796 -11/1 1/1 1 8 0.092037 In 0.056938 0.127137 -10/1 0/1 1 8 0.100000 In 0.064645 0.135355 -9/1 1/1 1 8 0.112828 In 0.069112 0.156544 -8/1 0/1 1 8 0.125000 In 0.080806 0.169194 -7/1 1/1 1 8 0.145780 In 0.087909 0.203651 -6/1 0/1 1 8 0.166667 In 0.107741 0.225592 -5/1 1/1 1 8 0.206030 In 0.120751 0.291309 -4/1 0/1 1 8 0.250000 In 0.161612 0.338388 -3/1 1/1 1 8 0.352113 In 0.192765 0.511461 -2/1 0/1 1 8 0.500000 In 0.323223 0.676777 -1/1 1/1 1 8 1.285714 In 0.477592 2.093836 0/1 0/1 1 8 1/1 1/1 1 8 2/1 0/1 1 8 -0.500000 In -0.676777 -0.323223 3/1 1/1 1 8 -0.323944 In -0.403618 -0.244270 4/1 0/1 1 8 -0.250000 In -0.338388 -0.161612 5/1 1/1 1 8 -0.195980 In -0.252833 -0.139127 6/1 0/1 1 8 -0.166667 In -0.225592 -0.107741 7/1 1/1 1 8 -0.140665 In -0.184068 -0.097262 8/1 0/1 1 8 -0.125000 In -0.169194 -0.080806 9/1 1/1 1 8 -0.109737 In -0.144710 -0.074764 10/1 0/1 1 8 -0.100000 In -0.135355 -0.064645 11/1 1/1 1 8 -0.089969 In -0.119218 -0.060719 12/1 0/1 1 8 -0.083333 In -0.112796 -0.053871 13/1 1/1 1 8 -0.076240 In -0.101363 -0.051117 14/1 0/1 1 8 -0.071429 In -0.096682 -0.046175 15/1 1/1 1 8 -0.066148 In -0.088159 -0.044137 16/1 0/1 1 8 -0.062500 In -0.084597 -0.040403 17/1 1/1 1 8 -0.058416 In -0.077999 -0.038834 18/1 0/1 1 8 -0.055556 In -0.075197 -0.035914 19/1 1/1 1 8 -0.052303 In -0.069938 -0.034669 20/1 0/1 1 8 -0.050000 In -0.067678 -0.032322 21/1 1/1 1 8 -0.047349 In -0.063388 -0.031310 22/1 0/1 1 8 -0.045455 In -0.061525 -0.029384 23/1 1/1 1 8 -0.043252 In -0.057959 -0.028545 24/1 0/1 1 8 -0.041667 In -0.056398 -0.026935 25/1 1/1 1 8 -0.039808 In -0.053387 -0.026229 26/1 0/1 1 8 -0.038462 In -0.052060 -0.024863 27/1 1/1 1 8 -0.036872 In -0.049484 -0.024260 28/1 0/1 1 8 -0.035714 In -0.048341 -0.023087 29/1 1/1 1 8 -0.034339 In -0.046112 -0.022566 30/1 0/1 1 8 -0.033333 In -0.045118 -0.021548 31/1 1/1 1 8 -0.032132 In -0.043171 -0.021094 32/1 0/1 1 8 -0.031250 In -0.042299 -0.020201 33/1 1/1 1 8 -0.030192 In -0.040582 -0.019801 34/1 0/1 1 8 -0.029412 In -0.039810 -0.019013 35/1 1/1 1 8 -0.028472 In -0.038286 -0.018658 36/1 0/1 1 8 -0.027778 In -0.037599 -0.017957 37/1 1/1 1 8 -0.026938 In -0.036236 -0.017640 38/1 0/1 1 8 -0.026316 In -0.035620 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1/0 2 4 0.117851 In 0.112949 0.122753 -15/2 0 4 -13/2 1/0 2 4 0.154303 In 0.145910 0.162696 -11/2 0 4 -9/2 1/0 2 4 0.223602 In 0.206035 0.241170 -7/2 0 4 -5/2 1/0 2 4 0.408163 In 0.350440 0.465886 -3/2 0 4 -1/2 1/0 2 4 4.000000 In 1.171573 6.828427 1/2 0 4 3/2 1/0 2 4 -0.705882 In -0.872260 -0.539504 5/2 0 4 7/2 1/0 2 4 -0.288660 In -0.317819 -0.259501 9/2 0 4 11/2 1/0 2 4 -0.182573 In -0.194309 -0.170836 13/2 0 4 15/2 1/0 2 4 -0.133630 In -0.139930 -0.127331 17/2 0 4 19/2 1/0 2 4 -0.105409 In -0.109332 -0.101486 21/2 0 4 23/2 1/0 2 4 -0.087039 In -0.089715 -0.084363 25/2 0 4 27/2 1/0 2 4 -0.074125 In -0.076066 -0.072184 29/2 0 4 31/2 1/0 2 4 -0.064550 In -0.066022 -0.063077 33/2 0 4 35/2 1/0 2 4 -0.057166 In -0.058321 -0.056011 37/2 0 4 39/2 1/0 2 4 -0.051299 In -0.052229 -0.050369 41/2 0 4 43/2 1/0 2 4 -0.046524 In -0.047289 -0.045759 45/2 0 4 47/2 1/0 2 4 -0.042563 In -0.043203 -0.041922 49/2 0 4 -50/3 2/1 1 8 0.060112 In 0.052191 0.068033 -49/3 -1/1 1 8 0.061176 In 0.054402 0.067950 -47/3 1/1 1 8 0.063890 In 0.055887 0.071893 -46/3 0/1 1 8 0.065217 In 0.057531 0.072903 -44/3 2/1 1 8 0.068329 In 0.059195 0.077462 -43/3 -1/1 1 8 0.069705 In 0.062056 0.077354 -41/3 1/1 1 8 0.073251 In 0.063996 0.082505 -40/3 0/1 1 8 0.075000 In 0.066161 0.083839 -38/3 2/1 1 8 0.079148 In 0.068371 0.089925 -37/3 -1/1 1 8 0.080997 In 0.072216 0.089779 -35/3 1/1 1 8 0.085825 In 0.074857 0.096794 -34/3 0/1 1 8 0.088235 In 0.077837 0.098634 -32/3 2/1 1 8 0.094040 In 0.080914 0.107167 -31/3 -1/1 1 8 0.096657 In 0.086354 0.106959 -29/3 1/1 1 8 0.103612 In 0.090158 0.117067 -28/3 0/1 1 8 0.107143 In 0.094516 0.119770 -26/3 2/1 1 8 0.115840 In 0.099091 0.132589 -25/3 -1/1 1 8 0.119824 In 0.107376 0.132272 -23/3 1/1 1 8 0.130702 In 0.113321 0.148083 -22/3 0/1 1 8 0.136364 In 0.120293 0.152434 -20/3 2/1 1 8 0.150814 In 0.127804 0.173823 -19/3 -1/1 1 8 0.157603 In 0.141928 0.173278 -17/3 1/1 1 8 0.176980 In 0.152502 0.201458 -16/3 0/1 1 8 0.187500 In 0.165403 0.209597 -14/3 2/1 1 8 0.216113 In 0.179943 0.252282 -13/3 -1/1 1 8 0.230200 In 0.209264 0.251136 -11/3 1/1 1 8 0.274043 In 0.233094 0.314993 -10/3 0/1 1 8 0.300000 In 0.264645 0.335355 -8/3 2/1 1 8 0.381890 In 0.303941 0.459839 -7/3 -1/1 1 8 0.427110 In 0.398175 0.456045 -5/3 1/1 1 8 0.608040 In 0.494335 0.721746 -4/3 0/1 1 8 0.750000 In 0.661612 0.838388 -2/3 2/1 1 8 1.785714 In 0.977592 2.593836 -1/3 -1/1 1 8 3.285714 In 2.477592 4.093836 1/3 1/1 1 8 -3.285714 In -4.093836 -2.477592 2/3 0/1 1 8 -1.500000 In -1.676777 -1.323223 4/3 2/1 1 8 -0.758065 In -0.803684 -0.712445 5/3 -1/1 1 8 -0.608040 In -0.721746 -0.494335 7/3 1/1 1 8 -0.427110 In -0.456045 -0.398175 8/3 0/1 1 8 -0.375000 In -0.419194 -0.330806 10/3 2/1 1 8 -0.298995 In -0.313208 -0.284782 11/3 -1/1 1 8 -0.274043 In -0.314993 -0.233094 13/3 1/1 1 8 -0.230200 In -0.251136 -0.209264 14/3 0/1 1 8 -0.214286 In -0.239540 -0.189032 16/3 2/1 1 8 -0.186888 In -0.200726 -0.173051 17/3 -1/1 1 8 -0.176980 In -0.201458 -0.152502 19/3 1/1 1 8 -0.157603 In 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2 2 0.081633 In 0.061224 0.102041 -47/4 1/1 2 2 0.085598 In 0.062500 0.108696 -45/4 0/1 2 2 0.088889 In 0.066667 0.111111 -43/4 1/1 2 2 0.093615 In 0.068182 0.119048 -41/4 0/1 2 2 0.097561 In 0.073171 0.121951 -39/4 1/1 2 2 0.103289 In 0.075000 0.131579 -37/4 0/1 2 2 0.108108 In 0.081081 0.135135 -35/4 1/1 2 2 0.115196 In 0.083333 0.147059 -33/4 0/1 2 2 0.121212 In 0.090909 0.151515 -31/4 1/1 2 2 0.130208 In 0.093750 0.166667 -29/4 0/1 2 2 0.137931 In 0.103448 0.172414 -27/4 1/1 2 2 0.149725 In 0.107143 0.192308 -25/4 0/1 2 2 0.160000 In 0.120000 0.200000 -23/4 1/1 2 2 0.176136 In 0.125000 0.227273 -21/4 0/1 2 2 0.190476 In 0.142857 0.238095 -19/4 1/1 2 2 0.213889 In 0.150000 0.277778 -17/4 0/1 2 2 0.235294 In 0.176471 0.294118 -15/4 1/1 2 2 0.272321 In 0.187500 0.357143 -13/4 0/1 2 2 0.307692 In 0.230769 0.384615 -11/4 1/1 2 2 0.375000 In 0.250000 0.500000 -9/4 0/1 2 2 0.444444 In 0.333333 0.555556 -7/4 1/1 2 2 0.604167 In 0.375000 0.833333 -5/4 0/1 2 2 0.800000 In 0.600000 1.000000 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