SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 3 -50/1 0/1 1 9 0.020000 In 0.013333 0.026667 -49/1 1/1 1 9 0.020455 In 0.013514 0.027397 -48/1 0/1 1 9 0.020833 In 0.013889 0.027778 -47/1 1/1 1 9 0.021328 In 0.014085 0.028571 -46/1 0/1 1 9 0.021739 In 0.014493 0.028986 -45/1 1/1 1 9 0.022278 In 0.014706 0.029851 -44/1 0/1 1 9 0.022727 In 0.015152 0.030303 -43/1 1/1 1 9 0.023317 In 0.015385 0.031250 -42/1 0/1 1 9 0.023810 In 0.015873 0.031746 -41/1 1/1 1 9 0.024458 In 0.016129 0.032787 -40/1 0/1 1 9 0.025000 In 0.016667 0.033333 -39/1 1/1 1 9 0.025716 In 0.016949 0.034483 -38/1 0/1 1 9 0.026316 In 0.017544 0.035088 -37/1 1/1 1 9 0.027110 In 0.017857 0.036364 -36/1 0/1 1 9 0.027778 In 0.018519 0.037037 -35/1 1/1 1 9 0.028665 In 0.018868 0.038462 -34/1 0/1 1 9 0.029412 In 0.019608 0.039216 -33/1 1/1 1 9 0.030408 In 0.020000 0.040816 -32/1 0/1 1 9 0.031250 In 0.020833 0.041667 -31/1 1/1 1 9 0.032377 In 0.021277 0.043478 -30/1 0/1 1 9 0.033333 In 0.022222 0.044444 -29/1 1/1 1 9 0.034619 In 0.022727 0.046512 -28/1 0/1 1 9 0.035714 In 0.023810 0.047619 -27/1 1/1 1 9 0.037195 In 0.024390 0.050000 -26/1 0/1 1 9 0.038462 In 0.025641 0.051282 -25/1 1/1 1 9 0.040185 In 0.026316 0.054054 -24/1 0/1 1 9 0.041667 In 0.027778 0.055556 -23/1 1/1 1 9 0.043697 In 0.028571 0.058824 -22/1 0/1 1 9 0.045455 In 0.030303 0.060606 -21/1 1/1 1 9 0.047883 In 0.031250 0.064516 -20/1 0/1 1 9 0.050000 In 0.033333 0.066667 -19/1 1/1 1 9 0.052956 In 0.034483 0.071429 -18/1 0/1 1 9 0.055556 In 0.037037 0.074074 -17/1 1/1 1 9 0.059231 In 0.038462 0.080000 -16/1 0/1 1 9 0.062500 In 0.041667 0.083333 -15/1 1/1 1 9 0.067194 In 0.043478 0.090909 -14/1 0/1 1 9 0.071429 In 0.047619 0.095238 -13/1 1/1 1 9 0.077632 In 0.050000 0.105263 -12/1 0/1 1 9 0.083333 In 0.055556 0.111111 -11/1 1/1 1 9 0.091912 In 0.058824 0.125000 -10/1 0/1 1 9 0.100000 In 0.066667 0.133333 -9/1 1/1 1 9 0.112637 In 0.071429 0.153846 -8/1 0/1 1 9 0.125000 In 0.083333 0.166667 -7/1 1/1 1 9 0.145455 In 0.090909 0.200000 -6/1 0/1 1 9 0.166667 In 0.111111 0.222222 -5/1 1/1 1 9 0.205357 In 0.125000 0.285714 -4/1 0/1 1 9 0.250000 In 0.166667 0.333333 -3/1 1/1 1 9 0.350000 In 0.200000 0.500000 -2/1 0/1 1 9 0.500000 In 0.333333 0.666667 -1/1 1/1 1 9 1.250000 In 0.500000 2.000000 0/1 0/1 1 9 1/1 1/1 1 9 2/1 0/1 1 9 -0.500000 In -0.666667 -0.333333 3/1 1/1 1 9 -0.325000 In -0.400000 -0.250000 4/1 0/1 1 9 -0.250000 In -0.333333 -0.166667 5/1 1/1 1 9 -0.196429 In -0.250000 -0.142857 6/1 0/1 1 9 -0.166667 In -0.222222 -0.111111 7/1 1/1 1 9 -0.140909 In -0.181818 -0.100000 8/1 0/1 1 9 -0.125000 In -0.166667 -0.083333 9/1 1/1 1 9 -0.109890 In -0.142857 -0.076923 10/1 0/1 1 9 -0.100000 In -0.133333 -0.066667 11/1 1/1 1 9 -0.090074 In -0.117647 -0.062500 12/1 0/1 1 9 -0.083333 In -0.111111 -0.055556 13/1 1/1 1 9 -0.076316 In -0.100000 -0.052632 14/1 0/1 1 9 -0.071429 In -0.095238 -0.047619 15/1 1/1 1 9 -0.066206 In -0.086957 -0.045455 16/1 0/1 1 9 -0.062500 In -0.083333 -0.041667 17/1 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0.086957 -29/2 1/0 1 9 0.068975 In 0.068182 0.069767 -27/2 1/2 1 9 0.074390 In 0.048780 0.100000 -25/2 1/0 1 9 0.080014 In 0.078947 0.081081 -23/2 1/2 1 9 0.087395 In 0.057143 0.117647 -21/2 1/0 1 9 0.095262 In 0.093750 0.096774 -19/2 1/2 1 9 0.105911 In 0.068966 0.142857 -17/2 1/0 1 9 0.117692 In 0.115385 0.120000 -15/2 1/2 1 9 0.134387 In 0.086957 0.181818 -13/2 1/0 1 9 0.153947 In 0.150000 0.157895 -11/2 1/2 1 9 0.183824 In 0.117647 0.250000 -9/2 1/0 1 9 0.222527 In 0.214286 0.230769 -7/2 1/2 1 9 0.290909 In 0.181818 0.400000 -5/2 1/0 1 9 0.401786 In 0.375000 0.428571 -3/2 1/2 1 9 0.700000 In 0.400000 1.000000 -1/2 1/0 1 9 2.250000 In 1.500000 3.000000 1/2 1/2 1 9 3/2 1/0 1 9 -0.675000 In -0.750000 -0.600000 5/2 1/2 1 9 -0.392857 In -0.500000 -0.285714 7/2 1/0 1 9 -0.286364 In -0.300000 -0.272727 9/2 1/2 1 9 -0.219780 In -0.285714 -0.153846 11/2 1/0 1 9 -0.181985 In -0.187500 -0.176471 13/2 1/2 1 9 -0.152632 In -0.200000 -0.105263 15/2 1/0 1 9 -0.133399 In -0.136364 -0.130435 17/2 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-43/3 0/1 1 3 0.069767 In 0.056341 0.083194 -41/3 0/1 1 3 0.073171 In 0.059089 0.087252 -40/3 1/1 1 3 0.075224 In 0.059704 0.090744 -38/3 1/1 1 3 0.079196 In 0.062800 0.095593 -37/3 0/1 1 3 0.081081 In 0.065477 0.096685 -35/3 0/1 1 3 0.085714 In 0.069219 0.102210 -34/3 1/1 1 3 0.088549 In 0.070065 0.107034 -32/3 1/1 1 3 0.094106 In 0.074366 0.113846 -31/3 0/1 1 3 0.096774 In 0.078150 0.115398 -29/3 0/1 1 3 0.103448 In 0.083540 0.123357 -28/3 1/1 1 3 0.107614 In 0.084775 0.130452 -26/3 1/1 1 3 0.115935 In 0.091155 0.140715 -25/3 0/1 1 3 0.120000 In 0.096906 0.143094 -23/3 0/1 1 3 0.130435 In 0.105333 0.155537 -22/3 1/1 1 3 0.137147 In 0.107304 0.166989 -20/3 1/1 1 3 0.150959 In 0.117734 0.184184 -19/3 0/1 1 3 0.157895 In 0.127508 0.188282 -17/3 0/1 1 3 0.176471 In 0.142509 0.210432 -16/3 1/1 1 3 0.189048 In 0.146142 0.231954 -14/3 1/1 1 3 0.216354 In 0.166193 0.266516 -13/3 0/1 1 3 0.230769 In 0.186358 0.275181 -11/3 0/1 1 3 0.272727 In 0.220241 0.325214 -10/3 1/1 1 3 0.304348 In 0.229041 0.379654 -8/3 1/1 1 3 0.382199 In 0.282447 0.481951 -7/3 0/1 1 3 0.428571 In 0.346093 0.511050 -5/3 0/1 1 3 0.600000 In 0.484530 0.715470 -4/3 1/1 1 3 0.787234 In 0.529269 1.045199 -2/3 1/1 1 3 1.727273 In 0.939977 2.514569 -1/3 0/1 1 3 3.000000 In 2.422650 3.577350 1/3 0/1 1 3 -3.000000 In -3.577350 -2.422650 2/3 1/1 1 3 -1.545455 In -1.702914 -1.387995 4/3 1/1 1 3 -0.744681 In -0.781533 -0.707829 5/3 0/1 1 3 -0.600000 In -0.715470 -0.484530 7/3 0/1 1 3 -0.428571 In -0.511050 -0.346093 8/3 1/1 1 3 -0.371728 In -0.417069 -0.326386 10/3 1/1 1 3 -0.297659 In -0.338209 -0.257109 11/3 0/1 1 3 -0.272727 In -0.325214 -0.220241 13/3 0/1 1 3 -0.230769 In -0.275181 -0.186358 14/3 1/1 1 3 -0.212947 In -0.245405 -0.180490 16/3 1/1 1 3 -0.186441 In -0.215797 -0.157084 17/3 0/1 1 3 -0.176471 In -0.210432 -0.142509 19/3 0/1 1 3 -0.157895 In -0.188282 -0.127508 20/3 1/1 1 3 -0.149291 In -0.173849 -0.124733 22/3 1/1 1 3 -0.135768 In -0.158449 -0.113088 23/3 0/1 1 3 -0.130435 In -0.155537 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0.092308 0.093750 -41/4 1/0 1 9 0.097567 In 0.096774 0.098361 -39/4 1/2 1 9 0.102718 In 0.084746 0.120690 -37/4 1/2 1 9 0.108279 In 0.089286 0.127273 -35/4 1/0 1 9 0.114296 In 0.113208 0.115385 -33/4 1/0 1 9 0.121224 In 0.120000 0.122449 -31/4 1/2 1 9 0.129278 In 0.106383 0.152174 -29/4 1/2 1 9 0.138214 In 0.113636 0.162791 -27/4 1/0 1 9 0.148171 In 0.146341 0.150000 -25/4 1/0 1 9 0.160028 In 0.157895 0.162162 -23/4 1/2 1 9 0.174370 In 0.142857 0.205882 -21/4 1/2 1 9 0.191028 In 0.156250 0.225806 -19/4 1/0 1 9 0.210591 In 0.206897 0.214286 -17/4 1/0 1 9 0.235385 In 0.230769 0.240000 -15/4 1/2 1 9 0.267787 In 0.217391 0.318182 -13/4 1/2 1 9 0.309211 In 0.250000 0.368421 -11/4 1/0 1 9 0.363971 In 0.352941 0.375000 -9/4 1/0 1 9 0.445055 In 0.428571 0.461538 -7/4 1/2 1 9 0.577273 In 0.454545 0.700000 -5/4 1/2 1 9 0.812500 In 0.625000 1.000000 -3/4 1/0 1 9 1.350000 In 1.200000 1.500000 -1/4 1/0 1 9 4.500000 In 3.000000 6.000000 1/4 1/2 1 9 -4.250000 In -5.000000 -3.500000 3/4 1/2 1 9 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