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 2 9 0.020000 In 0.010572 0.029428 -49/1 0/1 1 9 0.020408 In 0.013605 0.027211 -48/1 0 9 -47/1 2/1 1 9 0.021381 In 0.013986 0.028777 -46/1 0 9 -45/1 0/1 1 9 0.022222 In 0.014815 0.029630 -44/1 0/1 2 9 0.022727 In 0.012014 0.033441 -43/1 0/1 1 9 0.023256 In 0.015504 0.031008 -42/1 0 9 -41/1 2/1 1 9 0.024529 In 0.016000 0.033058 -40/1 0 9 -39/1 0/1 1 9 0.025641 In 0.017094 0.034188 -38/1 0/1 2 9 0.026316 In 0.013910 0.038721 -37/1 0/1 1 9 0.027027 In 0.018018 0.036036 -36/1 0 9 -35/1 2/1 1 9 0.028763 In 0.018692 0.038835 -34/1 0 9 -33/1 0/1 1 9 0.030303 In 0.020202 0.040404 -32/1 0/1 2 9 0.031250 In 0.016519 0.045981 -31/1 0/1 1 9 0.032258 In 0.021505 0.043011 -30/1 0 9 -29/1 2/1 1 9 0.034765 In 0.022472 0.047059 -28/1 0 9 -27/1 0/1 1 9 0.037037 In 0.024691 0.049383 -26/1 0/1 2 9 0.038462 In 0.020331 0.056592 -25/1 0/1 1 9 0.040000 In 0.026667 0.053333 -24/1 0 9 -23/1 2/1 1 9 0.043935 In 0.028169 0.059701 -22/1 0 9 -21/1 0/1 1 9 0.047619 In 0.031746 0.063492 -20/1 0/1 2 9 0.050000 In 0.026430 0.073570 -19/1 0/1 1 9 0.052632 In 0.035088 0.070175 -18/1 0 9 -17/1 2/1 1 9 0.059684 In 0.037736 0.081633 -16/1 0 9 -15/1 0/1 1 9 0.066667 In 0.044444 0.088889 -14/1 0/1 2 9 0.071429 In 0.037757 0.105100 -13/1 0/1 1 9 0.076923 In 0.051282 0.102564 -12/1 0 9 -11/1 2/1 1 9 0.093088 In 0.057143 0.129032 -10/1 0 9 -9/1 0/1 1 9 0.111111 In 0.074074 0.148148 -8/1 0/1 2 9 0.125000 In 0.066074 0.183926 -7/1 0/1 1 9 0.142857 In 0.095238 0.190476 -6/1 0 9 -5/1 2/1 1 9 0.212670 In 0.117647 0.307692 -4/1 0 9 -3/1 0/1 1 9 0.333333 In 0.222222 0.444444 -2/1 0/1 2 9 0.500000 In 0.264298 0.735702 -1/1 0/1 1 9 1.000000 In 0.666667 1.333333 0/1 0 9 1/1 2/1 1 9 -1.400000 In -2.000000 -0.800000 2/1 0 9 3/1 0/1 1 9 -0.333333 In -0.444444 -0.222222 4/1 0/1 2 9 -0.250000 In -0.367851 -0.132149 5/1 0/1 1 9 -0.200000 In -0.266667 -0.133333 6/1 0 9 7/1 2/1 1 9 -0.139588 In -0.173913 -0.105263 8/1 0 9 9/1 0/1 1 9 -0.111111 In -0.148148 -0.074074 10/1 0/1 2 9 -0.100000 In -0.147140 -0.052860 11/1 0/1 1 9 -0.090909 In -0.121212 -0.060606 12/1 0 9 13/1 2/1 1 9 -0.075808 In -0.097561 -0.054054 14/1 0 9 15/1 0/1 1 9 -0.066667 In -0.088889 -0.044444 16/1 0/1 2 9 -0.062500 In -0.091963 -0.033037 17/1 0/1 1 9 -0.058824 In -0.078431 -0.039216 18/1 0 9 19/1 2/1 1 9 -0.052080 In -0.067797 -0.036364 20/1 0 9 21/1 0/1 1 9 -0.047619 In -0.063492 -0.031746 22/1 0/1 2 9 -0.045455 In -0.066882 -0.024027 23/1 0/1 1 9 -0.043478 In -0.057971 -0.028986 24/1 0 9 25/1 2/1 1 9 -0.039673 In -0.051948 -0.027397 26/1 0 9 27/1 0/1 1 9 -0.037037 In -0.049383 -0.024691 28/1 0/1 2 9 -0.035714 In -0.052550 -0.018878 29/1 0/1 1 9 -0.034483 In -0.045977 -0.022989 30/1 0 9 31/1 2/1 1 9 -0.032042 In -0.042105 -0.021978 32/1 0 9 33/1 0/1 1 9 -0.030303 In -0.040404 -0.020202 34/1 0/1 2 9 -0.029412 In -0.043277 -0.015547 35/1 0/1 1 9 -0.028571 In -0.038095 -0.019048 36/1 0 9 37/1 2/1 1 9 -0.026873 In -0.035398 -0.018349 38/1 0 9 39/1 0/1 1 9 -0.025641 In -0.034188 -0.017094 40/1 0/1 2 9 -0.025000 In -0.036785 -0.013215 41/1 0/1 1 9 -0.024390 In -0.032520 -0.016260 42/1 0 9 43/1 2/1 1 9 -0.023141 In -0.030534 -0.015748 44/1 0 9 45/1 0/1 1 9 -0.022222 In -0.029630 -0.014815 46/1 0/1 2 9 -0.021739 In -0.031987 -0.011491 47/1 0/1 1 9 -0.021277 In -0.028369 -0.014184 48/1 0 9 49/1 2/1 1 9 -0.020319 In -0.026846 -0.013793 50/1 0 9 -49/2 0/1 1 9 0.040816 In 0.034014 0.047619 -47/2 2/1 1 9 0.042662 In 0.034965 0.050360 -45/2 2/1 1 9 0.044564 In 0.036496 0.052632 -43/2 0/1 1 9 0.046512 In 0.038760 0.054264 -41/2 0/1 1 9 0.048780 In 0.040650 0.056911 -39/2 0/1 1 9 0.051282 In 0.042735 0.059829 -37/2 0/1 1 9 0.054054 In 0.045045 0.063063 -35/2 2/1 1 9 0.057345 In 0.046729 0.067961 -33/2 2/1 1 9 0.060835 In 0.049505 0.072165 -31/2 0/1 1 9 0.064516 In 0.053763 0.075269 -29/2 0/1 1 9 0.068966 In 0.057471 0.080460 -27/2 0/1 1 9 0.074074 In 0.061728 0.086420 -25/2 0/1 1 9 0.080000 In 0.066667 0.093333 -23/2 2/1 1 9 0.087450 In 0.070423 0.104478 -21/2 2/1 1 9 0.095839 In 0.076923 0.114754 -19/2 0/1 1 9 0.105263 In 0.087719 0.122807 -17/2 0/1 1 9 0.117647 In 0.098039 0.137255 -15/2 0/1 1 9 0.133333 In 0.111111 0.155556 -13/2 0/1 1 9 0.153846 In 0.128205 0.179487 -11/2 2/1 1 9 0.184332 In 0.142857 0.225806 -9/2 2/1 1 9 0.226207 In 0.172414 0.280000 -7/2 0/1 1 9 0.285714 In 0.238095 0.333333 -5/2 0/1 1 9 0.400000 In 0.333333 0.466667 -3/2 0/1 1 9 0.666667 In 0.555556 0.777778 -1/2 0/1 1 9 2.000000 In 1.666667 2.333333 1/2 2/1 1 9 -3.200000 In -5.000000 -1.400000 3/2 2/1 1 9 -0.675325 In -0.714286 -0.636364 5/2 0/1 1 9 -0.400000 In -0.466667 -0.333333 7/2 0/1 1 9 -0.285714 In -0.333333 -0.238095 9/2 0/1 1 9 -0.222222 In -0.259259 -0.185185 11/2 0/1 1 9 -0.181818 In -0.212121 -0.151515 13/2 2/1 1 9 -0.152933 In -0.170732 -0.135135 15/2 2/1 1 9 -0.132608 In -0.148936 -0.116279 17/2 0/1 1 9 -0.117647 In -0.137255 -0.098039 19/2 0/1 1 9 -0.105263 In -0.122807 -0.087719 21/2 0/1 1 9 -0.095238 In -0.111111 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0.097401 -38/3 1/1 4 3 0.079945 In 0.047128 0.112761 -37/3 1/1 5 3 0.082399 In 0.044632 0.120166 -35/3 1/1 4 3 0.086897 In 0.051039 0.122756 -34/3 1/1 2 3 0.088863 In 0.062715 0.115012 -32/3 1/0 2 3 0.093811 In 0.091417 0.096205 -31/3 1/0 4 3 0.096909 In 0.093299 0.100518 -29/3 1/0 5 3 0.103654 In 0.099039 0.108268 -28/3 1/0 4 3 0.107325 In 0.102899 0.111751 -26/3 1/0 2 3 0.115499 In 0.111871 0.119126 -25/3 1/0 1 3 0.120064 In 0.117291 0.122837 -23/3 1/1 1 3 0.131148 In 0.102753 0.159542 -22/3 1/1 2 3 0.137931 In 0.095698 0.180164 -20/3 1/1 4 3 0.153846 In 0.087229 0.220463 -19/3 1/1 5 3 0.163265 In 0.084225 0.242306 -17/3 1/1 4 3 0.181924 In 0.101643 0.262204 -16/3 1/1 2 3 0.190601 In 0.129843 0.251358 -14/3 1/0 2 3 0.215017 In 0.202477 0.227557 -13/3 1/0 4 3 0.232604 In 0.211944 0.253265 -11/3 1/0 5 3 0.276536 In 0.244081 0.308991 -10/3 1/0 4 3 0.304054 In 0.268945 0.339163 -8/3 1/0 2 3 0.378947 In 0.340271 0.417624 -7/3 1/0 1 3 0.431507 In 0.395917 0.467097 -5/3 1/1 1 3 0.621622 In 0.434373 0.808870 -4/3 1/1 2 3 0.826087 In 0.453339 1.198835 -2/3 1/1 4 3 2.750000 In 0.584936 4.915064 -1/3 1/1 5 3 -7.000000 Out -14.745967 0.745967 1/3 1/1 4 3 5.000000 Out -1.928203 11.928203 2/3 1/1 2 3 -1.600000 In -1.844949 -1.355051 4/3 1/0 2 3 -0.782609 In -0.942358 -0.622859 5/3 1/0 4 3 -0.633803 In -0.780173 -0.487432 7/3 1/0 5 3 -0.443662 In -0.525486 -0.361838 8/3 1/0 4 3 -0.382979 In -0.438257 -0.327701 10/3 1/0 2 3 -0.302013 In -0.326673 -0.277354 11/3 1/0 1 3 -0.273481 In -0.287835 -0.259127 13/3 1/1 1 3 -0.229249 In -0.263479 -0.195019 14/3 1/1 2 3 -0.211604 In -0.257584 -0.165624 16/3 1/1 4 3 -0.183246 In -0.242190 -0.124302 17/3 1/1 5 3 -0.171694 In -0.234596 -0.108791 19/3 1/1 4 3 -0.154773 In -0.206141 -0.103405 20/3 1/1 2 3 -0.148581 In -0.183340 -0.113822 22/3 1/0 2 3 -0.136552 In -0.141620 -0.131484 23/3 1/0 4 3 -0.130764 In -0.137329 -0.124199 25/3 1/0 5 3 -0.120321 In -0.126534 -0.114108 26/3 1/0 4 3 -0.115613 In -0.120747 -0.110478 28/3 1/0 2 3 -0.107234 In 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0.100917 0.115044 -35/4 2/1 1 9 0.114509 In 0.102804 0.126214 -33/4 0/1 1 9 0.121212 In 0.111111 0.131313 -31/4 0/1 1 9 0.129032 In 0.118280 0.139785 -29/4 2/1 1 9 0.138268 In 0.123596 0.152941 -27/4 2/3 1 9 0.149154 In 0.108434 0.189873 -25/4 2/1 1 9 0.160470 In 0.142857 0.178082 -23/4 0/1 1 9 0.173913 In 0.159420 0.188406 -21/4 2/1 1 9 0.191173 In 0.169231 0.213115 -19/4 2/1 1 9 0.211402 In 0.186441 0.236364 -17/4 0/1 1 9 0.235294 In 0.215686 0.254902 -15/4 2/1 1 9 0.268184 In 0.234043 0.302326 -13/4 -2/1 1 9 0.307185 In 0.297297 0.317073 -11/4 2/1 1 9 0.366820 In 0.314286 0.419355 -9/4 0/1 1 9 0.444444 In 0.407407 0.481481 -7/4 0/1 1 9 0.571429 In 0.523810 0.619048 -5/4 2/1 1 9 0.823529 In 0.647059 1.000000 -3/4 2/3 1 9 1.480519 In 0.818182 2.142857 -1/4 2/1 1 9 7.600000 In 2.200000 13.000000 1/4 0/1 1 9 -4.000000 In -4.333333 -3.666667 3/4 2/1 1 9 -1.376623 In -1.571429 -1.181818 5/4 2/1 1 9 -0.805430 In -0.846154 -0.764706 7/4 0/1 1 9 -0.571429 In -0.619048 -0.523810 9/4 2/1 1 9 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