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 0/1 1 23 0.020000 In 0.015830 0.024170 -49/1 0/1 1 23 0.020408 In 0.016153 0.024664 -48/1 0/1 1 23 0.020833 In 0.016489 0.025177 -47/1 0/1 1 23 0.021277 In 0.016840 0.025713 -46/1 0/1 1 23 0.021739 In 0.017206 0.026272 -45/1 0/1 1 23 0.022222 In 0.017589 0.026856 -44/1 0/1 1 23 0.022727 In 0.017988 0.027466 -43/1 0/1 1 23 0.023256 In 0.018407 0.028105 -42/1 0/1 1 23 0.023810 In 0.018845 0.028774 -41/1 0/1 1 23 0.024390 In 0.019305 0.029476 -40/1 0/1 1 23 0.025000 In 0.019787 0.030213 -39/1 0/1 1 23 0.025641 In 0.020295 0.030988 -38/1 0/1 1 23 0.026316 In 0.020829 0.031803 -37/1 0/1 1 23 0.027027 In 0.021392 0.032663 -36/1 0/1 1 23 0.027778 In 0.021986 0.033570 -35/1 0/1 1 23 0.028571 In 0.022614 0.034529 -34/1 0/1 1 23 0.029412 In 0.023279 0.035545 -33/1 0/1 1 23 0.030303 In 0.023984 0.036622 -32/1 0/1 1 23 0.031250 In 0.024734 0.037766 -31/1 0/1 1 23 0.032258 In 0.025532 0.038984 -30/1 0/1 1 23 0.033333 In 0.026383 0.040284 -29/1 0/1 1 23 0.034483 In 0.027293 0.041673 -28/1 0/1 1 23 0.035714 In 0.028267 0.043161 -27/1 0/1 1 23 0.037037 In 0.029314 0.044760 -26/1 0/1 1 23 0.038462 In 0.030442 0.046481 -25/1 0/1 1 23 0.040000 In 0.031659 0.048341 -24/1 0/1 1 23 0.041667 In 0.032979 0.050355 -23/1 0/1 1 23 0.043478 In 0.034412 0.052544 -22/1 0/1 1 23 0.045455 In 0.035977 0.054932 -21/1 0/1 1 23 0.047619 In 0.037690 0.057548 -20/1 0/1 1 23 0.050000 In 0.039574 0.060426 -19/1 0/1 1 23 0.052632 In 0.041657 0.063606 -18/1 0/1 1 23 0.055556 In 0.043971 0.067140 -17/1 0/1 1 23 0.058824 In 0.046558 0.071089 -16/1 0/1 1 23 0.062500 In 0.049468 0.075532 -15/1 0/1 1 23 0.066667 In 0.052766 0.080568 -14/1 0/1 1 23 0.071429 In 0.056535 0.086322 -13/1 0/1 1 23 0.076923 In 0.060884 0.092963 -12/1 0/1 1 23 0.083333 In 0.065957 0.100710 -11/1 0/1 1 23 0.090909 In 0.071953 0.109865 -10/1 0/1 1 23 0.100000 In 0.079149 0.120851 -9/1 0/1 1 23 0.111111 In 0.087943 0.134279 -8/1 0/1 1 23 0.125000 In 0.098936 0.151064 -7/1 0/1 1 23 0.142857 In 0.113069 0.172645 -6/1 0/1 1 23 0.166667 In 0.131914 0.201419 -5/1 0/1 1 23 0.200000 In 0.158297 0.241703 -4/1 0/1 1 23 0.250000 In 0.197871 0.302129 -3/1 0/1 1 23 0.333333 In 0.263829 0.402838 -2/1 0/1 1 23 0.500000 In 0.395743 0.604257 -1/1 0/1 1 23 1.000000 In 0.791486 1.208514 0/1 0/1 1 23 1/1 0/1 1 23 -1.000000 In -1.208514 -0.791486 2/1 0/1 1 23 -0.500000 In -0.604257 -0.395743 3/1 0/1 1 23 -0.333333 In -0.402838 -0.263829 4/1 0/1 1 23 -0.250000 In -0.302129 -0.197871 5/1 0/1 1 23 -0.200000 In -0.241703 -0.158297 6/1 0/1 1 23 -0.166667 In -0.201419 -0.131914 7/1 0/1 1 23 -0.142857 In -0.172645 -0.113069 8/1 0/1 1 23 -0.125000 In -0.151064 -0.098936 9/1 0/1 1 23 -0.111111 In -0.134279 -0.087943 10/1 0/1 1 23 -0.100000 In -0.120851 -0.079149 11/1 0/1 1 23 -0.090909 In -0.109865 -0.071953 12/1 0/1 1 23 -0.083333 In -0.100710 -0.065957 13/1 0/1 1 23 -0.076923 In -0.092963 -0.060884 14/1 0/1 1 23 -0.071429 In -0.086322 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36/1 0/1 1 23 -0.027778 In -0.033570 -0.021986 37/1 0/1 1 23 -0.027027 In -0.032663 -0.021392 38/1 0/1 1 23 -0.026316 In -0.031803 -0.020829 39/1 0/1 1 23 -0.025641 In -0.030988 -0.020295 40/1 0/1 1 23 -0.025000 In -0.030213 -0.019787 41/1 0/1 1 23 -0.024390 In -0.029476 -0.019305 42/1 0/1 1 23 -0.023810 In -0.028774 -0.018845 43/1 0/1 1 23 -0.023256 In -0.028105 -0.018407 44/1 0/1 1 23 -0.022727 In -0.027466 -0.017988 45/1 0/1 1 23 -0.022222 In -0.026856 -0.017589 46/1 0/1 1 23 -0.021739 In -0.026272 -0.017206 47/1 0/1 1 23 -0.021277 In -0.025713 -0.016840 48/1 0/1 1 23 -0.020833 In -0.025177 -0.016489 49/1 0/1 1 23 -0.020408 In -0.024664 -0.016153 50/1 0/1 1 23 -0.020000 In -0.024170 -0.015830 -49/2 0 23 -47/2 0 23 -45/2 0 23 -43/2 0 23 -41/2 0 23 -39/2 0 23 -37/2 0 23 -35/2 0 23 -33/2 0 23 -31/2 0 23 -29/2 0 23 -27/2 0 23 -25/2 0 23 -23/2 0 23 -21/2 0 23 -19/2 0 23 -17/2 0 23 -15/2 0 23 -13/2 0 23 -11/2 0 23 -9/2 0 23 -7/2 0 23 -5/2 0 23 -3/2 0 23 -1/2 0 23 1/2 0 23 3/2 0 23 5/2 0 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-2/1 1 23 0.119894 In 0.113554 0.126235 -23/3 2/1 1 23 0.130642 In 0.119208 0.142077 -22/3 -2/1 1 23 0.136233 In 0.129337 0.143128 -20/3 2/1 1 23 0.150283 In 0.136723 0.163842 -19/3 -2/1 1 23 0.157730 In 0.150217 0.165242 -17/3 2/1 1 23 0.176878 In 0.160273 0.193482 -16/3 -2/1 1 23 0.187288 In 0.179137 0.195438 -14/3 2/1 1 23 0.214920 In 0.193624 0.236216 -13/3 -2/1 1 23 0.230492 In 0.221846 0.239137 -11/3 2/1 1 23 0.273840 In 0.244502 0.303177 -10/3 -2/1 1 23 0.299652 In 0.291296 0.308007 -8/3 2/1 1 23 0.377384 In 0.331647 0.423121 -7/3 -2/1 1 23 0.428317 In 0.424046 0.432588 -5/3 2/1 1 23 0.607706 In 0.515317 0.700095 -4/3 -2/1 1 23 0.752747 In 0.726397 0.779098 -2/3 2/1 1 23 1.590909 In 1.154924 2.026894 -1/3 -2/1 1 23 3.526316 In 2.264255 4.788377 1/3 2/1 1 23 -3.526316 In -4.788377 -2.264255 2/3 -2/1 1 23 -1.590909 In -2.026894 -1.154924 4/3 2/1 1 23 -0.752747 In -0.779098 -0.726397 5/3 -2/1 1 23 -0.607706 In -0.700095 -0.515317 7/3 2/1 1 23 -0.428317 In -0.432588 -0.424046 8/3 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2/1 1 23 -0.074954 In -0.079385 -0.070522 41/3 -2/1 1 23 -0.073230 In -0.079061 -0.067399 43/3 2/1 1 23 -0.069727 In -0.073900 -0.065554 44/3 -2/1 1 23 -0.068233 In -0.073619 -0.062847 46/3 2/1 1 23 -0.065182 In -0.069124 -0.061240 47/3 -2/1 1 23 -0.063874 In -0.068877 -0.058871 49/3 2/1 1 23 -0.061193 In -0.064927 -0.057458 50/3 -2/1 1 23 -0.060039 In -0.064710 -0.055368 -49/4 0 23 -47/4 0 23 -45/4 0 23 -43/4 0 23 -41/4 0 23 -39/4 0 23 -37/4 0 23 -35/4 0 23 -33/4 0 23 -31/4 0 23 -29/4 0 23 -27/4 0 23 -25/4 0 23 -23/4 0 23 -21/4 0 23 -19/4 0 23 -17/4 0 23 -15/4 0 23 -13/4 0 23 -11/4 0 23 -9/4 0 23 -7/4 0 23 -5/4 0 23 -3/4 0 23 -1/4 0 23 1/4 0 23 3/4 0 23 5/4 0 23 7/4 0 23 9/4 0 23 11/4 0 23 13/4 0 23 15/4 0 23 17/4 0 23 19/4 0 23 21/4 0 23 23/4 0 23 25/4 0 23 27/4 0 23 29/4 0 23 31/4 0 23 33/4 0 23 35/4 0 23 37/4 0 23 39/4 0 23 41/4 0 23 43/4 0 23 45/4 0 23 47/4 0 23 49/4 0 23 -49/5 0/1 1 23 0.102041 In 0.097785 0.106296 -48/5 0/1 1 23 0.104167 In 0.099823 0.108511 -47/5 0/1 1 23 0.106383 In 0.101947 0.110819 -46/5 0/1 1 23 0.108696 In 0.104163 0.113229 -44/5 0/1 1 23 0.113636 In 0.108897 0.118375 -43/5 0/1 1 23 0.116279 In 0.111430 0.121128 -42/5 0/1 1 23 0.119048 In 0.114083 0.124012 -41/5 0/1 1 23 0.121951 In 0.116866 0.127037 -39/5 0/1 1 23 0.128205 In 0.122859 0.133552 -38/5 0/1 1 23 0.131579 In 0.126092 0.137066 -37/5 0/1 1 23 0.135135 In 0.129500 0.140771 -36/5 0/1 1 23 0.138889 In 0.133097 0.144681 -34/5 0/1 1 23 0.147059 In 0.140926 0.153192 -33/5 0/1 1 23 0.151515 In 0.145197 0.157834 -32/5 0/1 1 23 0.156250 In 0.149734 0.162766 -31/5 0/1 1 23 0.161290 In 0.154564 0.168017 -29/5 0/1 1 23 0.172414 In 0.165224 0.179604 -28/5 0/1 1 23 0.178571 In 0.171124 0.186018 -27/5 0/1 1 23 0.185185 In 0.177462 0.192908 -26/5 0/1 1 23 0.192308 In 0.184288 0.200327 -24/5 0/1 1 23 0.208333 In 0.199645 0.217021 -23/5 0/1 1 23 0.217391 In 0.208325 0.226457 -22/5 0/1 1 23 0.227273 In 0.217795 0.236751 -21/5 0/1 1 23 0.238095 In 0.228166 0.248024 -19/5 0/1 1 23 0.263158 In 0.252183 0.274132 -18/5 0/1 1 23 0.277778 In 0.266194 0.289362 -17/5 0/1 1 23 0.294118 In 0.281852 0.306383 -16/5 0/1 1 23 0.312500 In 0.299468 0.325532 -14/5 0/1 1 23 0.357143 In 0.342249 0.372037 -13/5 0/1 1 23 0.384615 In 0.368576 0.400655 -12/5 0/1 1 23 0.416667 In 0.399290 0.434043 -11/5 0/1 1 23 0.454545 In 0.435590 0.473501 -9/5 0/1 1 23 0.555556 In 0.532387 0.578724 -8/5 0/1 1 23 0.625000 In 0.598936 0.651064 -7/5 0/1 1 23 0.714286 In 0.684498 0.744073 -6/5 0/1 1 23 0.833333 In 0.798581 0.868086 -4/5 0/1 1 23 1.250000 In 1.197871 1.302129 -3/5 0/1 1 23 1.666667 In 1.597162 1.736171 -2/5 0/1 1 23 2.500000 In 2.395743 2.604257 -1/5 0/1 1 23 5.000000 In 4.791486 5.208514 1/5 0/1 1 23 -5.000000 In -5.208514 -4.791486 2/5 0/1 1 23 -2.500000 In -2.604257 -2.395743 3/5 0/1 1 23 -1.666667 In -1.736171 -1.597162 4/5 0/1 1 23 -1.250000 In -1.302129 -1.197871 6/5 0/1 1 23 -0.833333 In -0.868086 -0.798581 7/5 0/1 1 23 -0.714286 In -0.744073 -0.684498 8/5 0/1 1 23 -0.625000 In -0.651064 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