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 14 0.020000 In 0.014655 0.025345 -49/1 0/1 1 14 0.020408 In 0.014954 0.025862 -48/1 0/1 1 14 0.020833 In 0.015265 0.026401 -47/1 0/1 1 14 0.021277 In 0.015590 0.026963 -46/1 0/1 1 14 0.021739 In 0.015929 0.027549 -45/1 0/1 1 14 0.022222 In 0.016283 0.028161 -44/1 0/1 1 14 0.022727 In 0.016653 0.028801 -43/1 0/1 1 14 0.023256 In 0.017040 0.029471 -42/1 0/1 1 14 0.023810 In 0.017446 0.030173 -41/1 0/1 1 14 0.024390 In 0.017872 0.030909 -40/1 0/1 1 14 0.025000 In 0.018318 0.031682 -39/1 0/1 1 14 0.025641 In 0.018788 0.032494 -38/1 0/1 1 14 0.026316 In 0.019283 0.033349 -37/1 0/1 1 14 0.027027 In 0.019804 0.034250 -36/1 0/1 1 14 0.027778 In 0.020354 0.035202 -35/1 0/1 1 14 0.028571 In 0.020935 0.036207 -34/1 0/1 1 14 0.029412 In 0.021551 0.037272 -33/1 0/1 1 14 0.030303 In 0.022204 0.038402 -32/1 0/1 1 14 0.031250 In 0.022898 0.039602 -31/1 0/1 1 14 0.032258 In 0.023637 0.040879 -30/1 0/1 1 14 0.033333 In 0.024425 0.042242 -29/1 0/1 1 14 0.034483 In 0.025267 0.043699 -28/1 0/1 1 14 0.035714 In 0.026169 0.045259 -27/1 0/1 1 14 0.037037 In 0.027138 0.046936 -26/1 0/1 1 14 0.038462 In 0.028182 0.048741 -25/1 0/1 1 14 0.040000 In 0.029310 0.050690 -24/1 0/1 1 14 0.041667 In 0.030531 0.052803 -23/1 0/1 1 14 0.043478 In 0.031858 0.055098 -22/1 0/1 1 14 0.045455 In 0.033306 0.057603 -21/1 0/1 1 14 0.047619 In 0.034892 0.060346 -20/1 0/1 1 14 0.050000 In 0.036637 0.063363 -19/1 0/1 1 14 0.052632 In 0.038565 0.066698 -18/1 0/1 1 14 0.055556 In 0.040708 0.070403 -17/1 0/1 1 14 0.058824 In 0.043102 0.074545 -16/1 0/1 1 14 0.062500 In 0.045796 0.079204 -15/1 0/1 1 14 0.066667 In 0.048849 0.084484 -14/1 0/1 1 14 0.071429 In 0.052338 0.090519 -13/1 0/1 1 14 0.076923 In 0.056365 0.097482 -12/1 0/1 1 14 0.083333 In 0.061062 0.105605 -11/1 0/1 1 14 0.090909 In 0.066613 0.115206 -10/1 0/1 1 14 0.100000 In 0.073274 0.126726 -9/1 0/1 1 14 0.111111 In 0.081415 0.140807 -8/1 0/1 1 14 0.125000 In 0.091592 0.158408 -7/1 0/1 1 14 0.142857 In 0.104677 0.181037 -6/1 0/1 1 14 0.166667 In 0.122123 0.211210 -5/1 0/1 1 14 0.200000 In 0.146548 0.253452 -4/1 0/1 1 14 0.250000 In 0.183185 0.316815 -3/1 0/1 1 14 0.333333 In 0.244246 0.422420 -2/1 0/1 1 14 0.500000 In 0.366369 0.633631 -1/1 0/1 1 14 1.000000 In 0.732739 1.267261 0/1 0/1 1 14 1/1 0/1 1 14 -1.000000 In -1.267261 -0.732739 2/1 0/1 1 14 -0.500000 In -0.633631 -0.366369 3/1 0/1 1 14 -0.333333 In -0.422420 -0.244246 4/1 0/1 1 14 -0.250000 In -0.316815 -0.183185 5/1 0/1 1 14 -0.200000 In -0.253452 -0.146548 6/1 0/1 1 14 -0.166667 In -0.211210 -0.122123 7/1 0/1 1 14 -0.142857 In -0.181037 -0.104677 8/1 0/1 1 14 -0.125000 In -0.158408 -0.091592 9/1 0/1 1 14 -0.111111 In -0.140807 -0.081415 10/1 0/1 1 14 -0.100000 In -0.126726 -0.073274 11/1 0/1 1 14 -0.090909 In -0.115206 -0.066613 12/1 0/1 1 14 -0.083333 In -0.105605 -0.061062 13/1 0/1 1 14 -0.076923 In -0.097482 -0.056365 14/1 0/1 1 14 -0.071429 In -0.090519 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36/1 0/1 1 14 -0.027778 In -0.035202 -0.020354 37/1 0/1 1 14 -0.027027 In -0.034250 -0.019804 38/1 0/1 1 14 -0.026316 In -0.033349 -0.019283 39/1 0/1 1 14 -0.025641 In -0.032494 -0.018788 40/1 0/1 1 14 -0.025000 In -0.031682 -0.018318 41/1 0/1 1 14 -0.024390 In -0.030909 -0.017872 42/1 0/1 1 14 -0.023810 In -0.030173 -0.017446 43/1 0/1 1 14 -0.023256 In -0.029471 -0.017040 44/1 0/1 1 14 -0.022727 In -0.028801 -0.016653 45/1 0/1 1 14 -0.022222 In -0.028161 -0.016283 46/1 0/1 1 14 -0.021739 In -0.027549 -0.015929 47/1 0/1 1 14 -0.021277 In -0.026963 -0.015590 48/1 0/1 1 14 -0.020833 In -0.026401 -0.015265 49/1 0/1 1 14 -0.020408 In -0.025862 -0.014954 50/1 0/1 1 14 -0.020000 In -0.025345 -0.014655 -49/2 0 7 -47/2 0 7 -45/2 0 7 -43/2 0 7 -41/2 0 7 -39/2 0 7 -37/2 0 7 -35/2 0 7 -33/2 0 7 -31/2 0 7 -29/2 0 7 -27/2 0 7 -25/2 0 7 -23/2 0 7 -21/2 0 7 -19/2 0 7 -17/2 0 7 -15/2 0 7 -13/2 0 7 -11/2 0 7 -9/2 0 7 -7/2 0 7 -5/2 0 7 -3/2 0 7 -1/2 0 7 1/2 0 7 3/2 0 7 5/2 0 7 7/2 0 7 9/2 0 7 11/2 0 7 13/2 0 7 15/2 0 7 17/2 0 7 19/2 0 7 21/2 0 7 23/2 0 7 25/2 0 7 27/2 0 7 29/2 0 7 31/2 0 7 33/2 0 7 35/2 0 7 37/2 0 7 39/2 0 7 41/2 0 7 43/2 0 7 45/2 0 7 47/2 0 7 49/2 0 7 -50/3 0/1 1 14 0.060000 In 0.054655 0.065345 -49/3 0/1 1 14 0.061224 In 0.055770 0.066679 -47/3 0/1 1 14 0.063830 In 0.058143 0.069516 -46/3 0/1 1 14 0.065217 In 0.059407 0.071027 -44/3 0/1 1 14 0.068182 In 0.062108 0.074256 -43/3 0/1 1 14 0.069767 In 0.063552 0.075983 -41/3 0/1 1 14 0.073171 In 0.066652 0.079689 -40/3 0/1 1 14 0.075000 In 0.068318 0.081682 -38/3 0/1 1 14 0.078947 In 0.071914 0.085981 -37/3 0/1 1 14 0.081081 In 0.073858 0.088304 -35/3 0/1 1 14 0.085714 In 0.078078 0.093350 -34/3 0/1 1 14 0.088235 In 0.080375 0.096096 -32/3 0/1 1 14 0.093750 In 0.085398 0.102102 -31/3 0/1 1 14 0.096774 In 0.088153 0.105396 -29/3 0/1 1 14 0.103448 In 0.094232 0.112664 -28/3 0/1 1 14 0.107143 In 0.097598 0.116688 -26/3 0/1 1 14 0.115385 In 0.105105 0.125664 -25/3 0/1 1 14 0.120000 In 0.109310 0.130690 -23/3 0/1 1 14 0.130435 In 0.118815 0.142055 -22/3 0/1 1 14 0.136364 In 0.124215 0.148512 -20/3 0/1 1 14 0.150000 In 0.136637 0.163363 -19/3 0/1 1 14 0.157895 In 0.143828 0.171961 -17/3 0/1 1 14 0.176471 In 0.160749 0.192192 -16/3 0/1 1 14 0.187500 In 0.170796 0.204204 -14/3 0/1 1 14 0.214286 In 0.195196 0.233376 -13/3 0/1 1 14 0.230769 In 0.210211 0.251328 -11/3 0/1 1 14 0.272727 In 0.248431 0.297024 -10/3 0/1 1 14 0.300000 In 0.273274 0.326726 -8/3 0/1 1 14 0.375000 In 0.341592 0.408408 -7/3 0/1 1 14 0.428571 In 0.390391 0.466752 -5/3 0/1 1 14 0.600000 In 0.546548 0.653452 -4/3 0/1 1 14 0.750000 In 0.683185 0.816815 -2/3 0/1 1 14 1.500000 In 1.366369 1.633631 -1/3 0/1 1 14 3.000000 In 2.732739 3.267261 1/3 0/1 1 14 -3.000000 In -3.267261 -2.732739 2/3 0/1 1 14 -1.500000 In -1.633631 -1.366369 4/3 0/1 1 14 -0.750000 In -0.816815 -0.683185 5/3 0/1 1 14 -0.600000 In -0.653452 -0.546548 7/3 0/1 1 14 -0.428571 In -0.466752 -0.390391 8/3 0/1 1 14 -0.375000 In -0.408408 -0.341592 10/3 0/1 1 14 -0.300000 In -0.326726 -0.273274 11/3 0/1 1 14 -0.272727 In -0.297024 -0.248431 13/3 0/1 1 14 -0.230769 In -0.251328 -0.210211 14/3 0/1 1 14 -0.214286 In -0.233376 -0.195196 16/3 0/1 1 14 -0.187500 In -0.204204 -0.170796 17/3 0/1 1 14 -0.176471 In -0.192192 -0.160749 19/3 0/1 1 14 -0.157895 In -0.171961 -0.143828 20/3 0/1 1 14 -0.150000 In -0.163363 -0.136637 22/3 0/1 1 14 -0.136364 In -0.148512 -0.124215 23/3 0/1 1 14 -0.130435 In -0.142055 -0.118815 25/3 0/1 1 14 -0.120000 In -0.130690 -0.109310 26/3 0/1 1 14 -0.115385 In -0.125664 -0.105105 28/3 0/1 1 14 -0.107143 In -0.116688 -0.097598 29/3 0/1 1 14 -0.103448 In -0.112664 -0.094232 31/3 0/1 1 14 -0.096774 In -0.105396 -0.088153 32/3 0/1 1 14 -0.093750 In -0.102102 -0.085398 34/3 0/1 1 14 -0.088235 In -0.096096 -0.080375 35/3 0/1 1 14 -0.085714 In -0.093350 -0.078078 37/3 0/1 1 14 -0.081081 In -0.088304 -0.073858 38/3 0/1 1 14 -0.078947 In -0.085981 -0.071914 40/3 0/1 1 14 -0.075000 In -0.081682 -0.068318 41/3 0/1 1 14 -0.073171 In -0.079689 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0.116279 In 0.110064 0.122494 -42/5 0/1 1 14 0.119048 In 0.112684 0.125411 -41/5 -2/1 1 14 0.121887 In 0.116957 0.126816 -39/5 2/1 1 14 0.128323 In 0.119712 0.136935 -38/5 0/1 1 14 0.131579 In 0.124546 0.138612 -37/5 0/1 1 14 0.135135 In 0.127912 0.142358 -36/5 -2/1 1 14 0.138809 In 0.133446 0.144172 -34/5 2/1 1 14 0.147219 In 0.137044 0.157394 -33/5 0/1 1 14 0.151515 In 0.143416 0.159614 -32/5 0/1 1 14 0.156250 In 0.147898 0.164602 -31/5 -2/1 1 14 0.161190 In 0.155348 0.167032 -29/5 2/1 1 14 0.172642 In 0.160244 0.185040 -28/5 0/1 1 14 0.178571 In 0.169026 0.188116 -27/5 0/1 1 14 0.185185 In 0.175287 0.195084 -26/5 -2/1 1 14 0.192178 In 0.185849 0.198506 -24/5 2/1 1 14 0.208685 In 0.192901 0.224469 -23/5 0/1 1 14 0.217391 In 0.205771 0.229011 -22/5 0/1 1 14 0.227273 In 0.215124 0.239421 -21/5 -2/1 1 14 0.237925 In 0.231255 0.244596 -19/5 2/1 1 14 0.263762 In 0.242276 0.285249 -18/5 0/1 1 14 0.277778 In 0.262930 0.292626 -17/5 0/1 1 14 0.294118 In 0.278396 0.309839 -16/5 -2/1 1 14 0.312291 In 0.306020 0.318561 -14/5 2/1 1 14 0.358394 In 0.325621 0.391168 -13/5 0/1 1 14 0.384615 In 0.364057 0.405174 -12/5 0/1 1 14 0.416667 In 0.394395 0.438938 -11/5 -2/1 1 14 0.454438 In 0.452224 0.456652 -9/5 2/1 1 14 0.559292 In 0.496379 0.622205 -8/5 0/1 1 14 0.625000 In 0.591592 0.658408 -7/5 0/1 1 14 0.714286 In 0.676106 0.752466 -6/5 -2/1 1 14 0.836000 In 0.806067 0.865933 -4/5 2/1 1 14 1.281818 In 1.043713 1.519924 -3/5 0/1 1 14 1.666667 In 1.577580 1.755754 -2/5 0/1 1 14 2.500000 In 2.366369 2.633631 -1/5 -2/1 1 14 6.800000 In 3.432508 10.167492 1/5 2/1 1 14 -6.800000 In -10.167492 -3.432508 2/5 0/1 1 14 -2.500000 In -2.633631 -2.366369 3/5 0/1 1 14 -1.666667 In -1.755754 -1.577580 4/5 -2/1 1 14 -1.281818 In -1.519924 -1.043713 6/5 2/1 1 14 -0.836000 In -0.865933 -0.806067 7/5 0/1 1 14 -0.714286 In -0.752466 -0.676106 8/5 0/1 1 14 -0.625000 In -0.658408 -0.591592 9/5 -2/1 1 14 -0.559292 In -0.622205 -0.496379 11/5 2/1 1 14 -0.454438 In -0.456652 -0.452224 12/5 0/1 1 14 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