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 7 0.020000 In 0.012441 0.027559 -49/1 1/0 1 7 0.020409 In 0.020252 0.020567 -48/1 0/1 1 7 0.020833 In 0.012959 0.028708 -47/1 1/0 1 7 0.021278 In 0.021107 0.021449 -46/1 0/1 1 7 0.021739 In 0.013523 0.029956 -45/1 1/0 1 7 0.022224 In 0.022037 0.022410 -44/1 0/1 1 7 0.022727 In 0.014137 0.031317 -43/1 1/0 1 7 0.023258 In 0.023053 0.023462 -42/1 0/1 1 7 0.023810 In 0.014810 0.032809 -41/1 1/0 1 7 0.024392 In 0.024167 0.024617 -40/1 0/1 1 7 0.025000 In 0.015551 0.034449 -39/1 1/0 1 7 0.025643 In 0.025395 0.025892 -38/1 0/1 1 7 0.026316 In 0.016369 0.036262 -37/1 1/0 1 7 0.027030 In 0.026754 0.027306 -36/1 0/1 1 7 0.027778 In 0.017279 0.038277 -35/1 1/0 1 7 0.028575 In 0.028266 0.028883 -34/1 0/1 1 7 0.029412 In 0.018295 0.040528 -33/1 1/0 1 7 0.030307 In 0.029960 0.030654 -32/1 0/1 1 7 0.031250 In 0.019439 0.043061 -31/1 1/0 1 7 0.032263 In 0.031869 0.032656 -30/1 0/1 1 7 0.033333 In 0.020735 0.045932 -29/1 1/0 1 7 0.034489 In 0.034039 0.034938 -28/1 0/1 1 7 0.035714 In 0.022216 0.049213 -27/1 1/0 1 7 0.037044 In 0.036526 0.037563 -26/1 0/1 1 7 0.038462 In 0.023924 0.052999 -25/1 1/0 1 7 0.040009 In 0.039404 0.040614 -24/1 0/1 1 7 0.041667 In 0.025918 0.057415 -23/1 1/0 1 7 0.043490 In 0.042775 0.044205 -22/1 0/1 1 7 0.045455 In 0.028274 0.062635 -21/1 1/0 1 7 0.047634 In 0.046777 0.048492 -20/1 0/1 1 7 0.050000 In 0.031102 0.068898 -19/1 1/0 1 7 0.052652 In 0.051605 0.053700 -18/1 0/1 1 7 0.055556 In 0.034558 0.076554 -17/1 1/0 1 7 0.058853 In 0.057544 0.060161 -16/1 0/1 1 7 0.062500 In 0.038877 0.086123 -15/1 1/0 1 7 0.066709 In 0.065028 0.068390 -14/1 0/1 1 7 0.071429 In 0.044431 0.098426 -13/1 1/0 1 7 0.076988 In 0.074750 0.079227 -12/1 0/1 1 7 0.083333 In 0.051836 0.114830 -11/1 1/0 1 7 0.091017 In 0.087889 0.094144 -10/1 0/1 1 7 0.100000 In 0.062204 0.137796 -9/1 1/0 1 7 0.111307 In 0.106633 0.115982 -8/1 0/1 1 7 0.125000 In 0.077754 0.172246 -7/1 1/0 1 7 0.143275 In 0.135539 0.151011 -6/1 0/1 1 7 0.166667 In 0.103673 0.229661 -5/1 1/0 1 7 0.201149 In 0.185944 0.216355 -4/1 0/1 1 7 0.250000 In 0.155509 0.344491 -3/1 1/0 1 7 0.338710 In 0.296036 0.381383 -2/1 0/1 1 7 0.500000 In 0.311018 0.688982 -1/1 1/0 1 7 1.166667 In 0.725708 1.607625 0/1 0/1 1 7 1/1 1/0 1 7 -1.166667 In -1.607625 -0.725708 2/1 0/1 1 7 -0.500000 In -0.688982 -0.311018 3/1 1/0 1 7 -0.338710 In -0.381383 -0.296036 4/1 0/1 1 7 -0.250000 In -0.344491 -0.155509 5/1 1/0 1 7 -0.201149 In -0.216355 -0.185944 6/1 0/1 1 7 -0.166667 In -0.229661 -0.103673 7/1 1/0 1 7 -0.143275 In -0.151011 -0.135539 8/1 0/1 1 7 -0.125000 In -0.172246 -0.077754 9/1 1/0 1 7 -0.111307 In -0.115982 -0.106633 10/1 0/1 1 7 -0.100000 In -0.137796 -0.062204 11/1 1/0 1 7 -0.091017 In -0.094144 -0.087889 12/1 0/1 1 7 -0.083333 In -0.114830 -0.051836 13/1 1/0 1 7 -0.076988 In -0.079227 -0.074750 14/1 0/1 1 7 -0.071429 In -0.098426 -0.044431 15/1 1/0 1 7 -0.066709 In -0.068390 -0.065028 16/1 0/1 1 7 -0.062500 In -0.086123 -0.038877 17/1 1/0 1 7 -0.058853 In -0.060161 -0.057544 18/1 0/1 1 7 -0.055556 In -0.076554 -0.034558 19/1 1/0 1 7 -0.052652 In -0.053700 -0.051605 20/1 0/1 1 7 -0.050000 In -0.068898 -0.031102 21/1 1/0 1 7 -0.047634 In -0.048492 -0.046777 22/1 0/1 1 7 -0.045455 In -0.062635 -0.028274 23/1 1/0 1 7 -0.043490 In -0.044205 -0.042775 24/1 0/1 1 7 -0.041667 In -0.057415 -0.025918 25/1 1/0 1 7 -0.040009 In -0.040614 -0.039404 26/1 0/1 1 7 -0.038462 In -0.052999 -0.023924 27/1 1/0 1 7 -0.037044 In -0.037563 -0.036526 28/1 0/1 1 7 -0.035714 In -0.049213 -0.022216 29/1 1/0 1 7 -0.034489 In -0.034938 -0.034039 30/1 0/1 1 7 -0.033333 In -0.045932 -0.020735 31/1 1/0 1 7 -0.032263 In -0.032656 -0.031869 32/1 0/1 1 7 -0.031250 In -0.043061 -0.019439 33/1 1/0 1 7 -0.030307 In -0.030654 -0.029960 34/1 0/1 1 7 -0.029412 In -0.040528 -0.018295 35/1 1/0 1 7 -0.028575 In -0.028883 -0.028266 36/1 0/1 1 7 -0.027778 In -0.038277 -0.017279 37/1 1/0 1 7 -0.027030 In -0.027306 -0.026754 38/1 0/1 1 7 -0.026316 In -0.036262 -0.016369 39/1 1/0 1 7 -0.025643 In -0.025892 -0.025395 40/1 0/1 1 7 -0.025000 In -0.034449 -0.015551 41/1 1/0 1 7 -0.024392 In -0.024617 -0.024167 42/1 0/1 1 7 -0.023810 In -0.032809 -0.014810 43/1 1/0 1 7 -0.023258 In -0.023462 -0.023053 44/1 0/1 1 7 -0.022727 In -0.031317 -0.014137 45/1 1/0 1 7 -0.022224 In -0.022410 -0.022037 46/1 0/1 1 7 -0.021739 In -0.029956 -0.013523 47/1 1/0 1 7 -0.021278 In -0.021449 -0.021107 48/1 0/1 1 7 -0.020833 In -0.028708 -0.012959 49/1 1/0 1 7 -0.020409 In -0.020567 -0.020252 50/1 0/1 1 7 -0.020000 In -0.027559 -0.012441 -49/2 -1/1 1 7 0.040759 In 0.033360 0.048158 -47/2 1/1 1 7 0.042621 In 0.034236 0.051005 -45/2 -1/1 1 7 0.044377 In 0.036351 0.052404 -43/2 1/1 1 7 0.046592 In 0.037393 0.055792 -41/2 -1/1 1 7 0.048700 In 0.039930 0.057469 -39/2 1/1 1 7 0.051381 In 0.041191 0.061570 -37/2 -1/1 1 7 0.053955 In 0.044291 0.063619 -35/2 1/1 1 7 0.057266 In 0.045849 0.068684 -33/2 -1/1 1 7 0.060483 In 0.049722 0.071244 -31/2 1/1 1 7 0.064674 In 0.051693 0.077655 -29/2 -1/1 1 7 0.068807 In 0.056671 0.080944 -27/2 1/1 1 7 0.074285 In 0.059246 0.089323 -25/2 -1/1 1 7 0.079790 In 0.065877 0.093702 -23/2 1/1 1 7 0.087250 In 0.069383 0.105117 -21/2 -1/1 1 7 0.094945 In 0.078655 0.111234 -19/2 1/1 1 7 0.105701 In 0.083705 0.127696 -17/2 -1/1 1 7 0.117211 In 0.097583 0.136838 -15/2 1/1 1 7 0.134053 In 0.105478 0.162629 -13/2 -1/1 1 7 0.153130 In 0.128508 0.177752 -11/2 1/1 1 7 0.183215 In 0.142559 0.223871 -9/2 -1/1 1 7 0.220848 In 0.188127 0.253569 -7/2 1/1 1 7 0.289474 In 0.219849 0.359099 -5/2 -1/1 1 7 0.396552 In 0.350935 0.442168 -3/2 1/1 1 7 0.693548 In 0.480181 0.906915 -1/2 -1/1 1 7 2.166667 In 1.725708 2.607625 1/2 1/1 1 7 -2.166667 In -2.607625 -1.725708 3/2 -1/1 1 7 -0.693548 In -0.906915 -0.480181 5/2 1/1 1 7 -0.396552 In -0.442168 -0.350935 7/2 -1/1 1 7 -0.289474 In -0.359099 -0.219849 9/2 1/1 1 7 -0.220848 In -0.253569 -0.188127 11/2 -1/1 1 7 -0.183215 In -0.223871 -0.142559 13/2 1/1 1 7 -0.153130 In -0.177752 -0.128508 15/2 -1/1 1 7 -0.134053 In -0.162629 -0.105478 17/2 1/1 1 7 -0.117211 In -0.136838 -0.097583 19/2 -1/1 1 7 -0.105701 In -0.127696 -0.083705 21/2 1/1 1 7 -0.094945 In -0.111234 -0.078655 23/2 -1/1 1 7 -0.087250 In -0.105117 -0.069383 25/2 1/1 1 7 -0.079790 In -0.093702 -0.065877 27/2 -1/1 1 7 -0.074285 In -0.089323 -0.059246 29/2 1/1 1 7 -0.068807 In -0.080944 -0.056671 31/2 -1/1 1 7 -0.064674 In -0.077655 -0.051693 33/2 1/1 1 7 -0.060483 In -0.071244 -0.049722 35/2 -1/1 1 7 -0.057266 In -0.068684 -0.045849 37/2 1/1 1 7 -0.053955 In -0.063619 -0.044291 39/2 -1/1 1 7 -0.051381 In -0.061570 -0.041191 41/2 1/1 1 7 -0.048700 In -0.057469 -0.039930 43/2 -1/1 1 7 -0.046592 In -0.055792 -0.037393 45/2 1/1 1 7 -0.044377 In -0.052404 -0.036351 47/2 -1/1 1 7 -0.042621 In -0.051005 -0.034236 49/2 1/1 1 7 -0.040759 In -0.048158 -0.033360 -50/3 0/1 1 7 0.060000 In 0.052441 0.067559 -49/3 1/0 1 7 0.061228 In 0.060756 0.061700 -47/3 1/0 1 7 0.063834 In 0.063321 0.064347 -46/3 0/1 1 7 0.065217 In 0.057001 0.073434 -44/3 0/1 1 7 0.068182 In 0.059592 0.076772 -43/3 1/0 1 7 0.069773 In 0.069160 0.070386 -41/3 1/0 1 7 0.073177 In 0.072502 0.073852 -40/3 0/1 1 7 0.075000 In 0.065551 0.084449 -38/3 0/1 1 7 0.078947 In 0.069001 0.088894 -37/3 1/0 1 7 0.081090 In 0.080261 0.081918 -35/3 1/0 1 7 0.085724 In 0.084799 0.086650 -34/3 0/1 1 7 0.088235 In 0.077119 0.099352 -32/3 0/1 1 7 0.093750 In 0.081939 0.105561 -31/3 1/0 1 7 0.096789 In 0.095608 0.097969 -29/3 1/0 1 7 0.103466 In 0.102117 0.104814 -28/3 0/1 1 7 0.107143 In 0.093644 0.120642 -26/3 0/1 1 7 0.115385 In 0.100848 0.129922 -25/3 1/0 1 7 0.120027 In 0.118213 0.121842 -23/3 1/0 1 7 0.130470 In 0.128326 0.132614 -22/3 0/1 1 7 0.136364 In 0.119183 0.153544 -20/3 0/1 1 7 0.150000 In 0.131102 0.168898 -19/3 1/0 1 7 0.157957 In 0.154815 0.161099 -17/3 1/0 1 7 0.176558 In 0.172632 0.180483 -16/3 0/1 1 7 0.187500 In 0.163877 0.211123 -14/3 0/1 1 7 0.214286 In 0.187288 0.241283 -13/3 1/0 1 7 0.230964 In 0.224249 0.237680 -11/3 1/0 1 7 0.273050 In 0.263668 0.282432 -10/3 0/1 1 7 0.300000 In 0.262204 0.337796 -8/3 0/1 1 7 0.375000 In 0.327754 0.422246 -7/3 1/0 1 7 0.429825 In 0.406616 0.453033 -5/3 1/0 1 7 0.603448 In 0.557832 0.649065 -4/3 0/1 1 7 0.750000 In 0.655509 0.844491 -2/3 0/1 1 7 1.500000 In 1.311018 1.688982 -1/3 1/0 1 7 3.500000 In 2.177124 4.822876 1/3 1/0 1 7 -3.500000 In -4.822876 -2.177124 2/3 0/1 1 7 -1.500000 In -1.688982 -1.311018 4/3 0/1 1 7 -0.750000 In -0.844491 -0.655509 5/3 1/0 1 7 -0.603448 In -0.649065 -0.557832 7/3 1/0 1 7 -0.429825 In -0.453033 -0.406616 8/3 0/1 1 7 -0.375000 In -0.422246 -0.327754 10/3 0/1 1 7 -0.300000 In -0.337796 -0.262204 11/3 1/0 1 7 -0.273050 In -0.282432 -0.263668 13/3 1/0 1 7 -0.230964 In -0.237680 -0.224249 14/3 0/1 1 7 -0.214286 In -0.241283 -0.187288 16/3 0/1 1 7 -0.187500 In -0.211123 -0.163877 17/3 1/0 1 7 -0.176558 In -0.180483 -0.172632 19/3 1/0 1 7 -0.157957 In -0.161099 -0.154815 20/3 0/1 1 7 -0.150000 In -0.168898 -0.131102 22/3 0/1 1 7 -0.136364 In -0.153544 -0.119183 23/3 1/0 1 7 -0.130470 In -0.132614 -0.128326 25/3 1/0 1 7 -0.120027 In -0.121842 -0.118213 26/3 0/1 1 7 -0.115385 In -0.129922 -0.100848 28/3 0/1 1 7 -0.107143 In -0.120642 -0.093644 29/3 1/0 1 7 -0.103466 In -0.104814 -0.102117 31/3 1/0 1 7 -0.096789 In -0.097969 -0.095608 32/3 0/1 1 7 -0.093750 In -0.105561 -0.081939 34/3 0/1 1 7 -0.088235 In -0.099352 -0.077119 35/3 1/0 1 7 -0.085724 In -0.086650 -0.084799 37/3 1/0 1 7 -0.081090 In -0.081918 -0.080261 38/3 0/1 1 7 -0.078947 In -0.088894 -0.069001 40/3 0/1 1 7 -0.075000 In -0.084449 -0.065551 41/3 1/0 1 7 -0.073177 In -0.073852 -0.072502 43/3 1/0 1 7 -0.069773 In -0.070386 -0.069160 44/3 0/1 1 7 -0.068182 In -0.076772 -0.059592 46/3 0/1 1 7 -0.065217 In -0.073434 -0.057001 47/3 1/0 1 7 -0.063834 In -0.064347 -0.063321 49/3 1/0 1 7 -0.061228 In -0.061700 -0.060756 50/3 0/1 1 7 -0.060000 In -0.067559 -0.052441 -49/4 -1/1 1 7 0.081578 In 0.074494 0.088662 -47/4 1/1 1 7 0.085177 In 0.076450 0.093903 -45/4 1/1 1 7 0.088966 In 0.079819 0.098112 -43/4 -1/1 1 7 0.092953 In 0.084980 0.100926 -41/4 -1/1 1 7 0.097484 In 0.089164 0.105804 -39/4 1/1 1 7 0.102668 In 0.091981 0.113354 -37/4 1/1 1 7 0.108224 In 0.096903 0.119545 -35/4 -1/1 1 7 0.114182 In 0.104616 0.123748 -33/4 -1/1 1 7 0.121097 In 0.111030 0.131163 -31/4 1/1 1 7 0.129200 In 0.115432 0.142968 -29/4 1/1 1 7 0.138124 In 0.123291 0.152958 -27/4 -1/1 1 7 0.147981 In 0.136054 0.159908 -25/4 -1/1 1 7 0.159808 In 0.147105 0.172510 -23/4 1/1 1 7 0.174230 In 0.154934 0.193527 -21/4 1/1 1 7 0.190862 In 0.169428 0.212295 -19/4 -1/1 1 7 0.210214 In 0.194503 0.225925 -17/4 -1/1 1 7 0.234916 In 0.217906 0.251926 -15/4 1/1 1 7 0.267471 In 0.235534 0.299409 -13/4 1/1 1 7 0.308799 In 0.270746 0.346851 -11/4 -1/1 1 7 0.362884 In 0.340993 0.384776 -9/4 -1/1 1 7 0.443463 In 0.420091 0.466835 -7/4 1/1 1 7 0.576023 In 0.490926 0.661121 -5/4 1/1 1 7 0.810345 In 0.673496 0.947194 -3/4 -1/1 1 7 1.338710 In 1.296036 1.381383 -1/4 -1/1 1 7 4.500000 In 3.177124 5.822876 1/4 1/1 1 7 -4.500000 In -5.822876 -3.177124 3/4 1/1 1 7 -1.338710 In -1.381383 -1.296036 5/4 -1/1 1 7 -0.810345 In -0.947194 -0.673496 7/4 -1/1 1 7 -0.576023 In -0.661121 -0.490926 9/4 1/1 1 7 -0.443463 In -0.466835 -0.420091 11/4 1/1 1 7 -0.362884 In -0.384776 -0.340993 13/4 -1/1 1 7 -0.308799 In -0.346851 -0.270746 15/4 -1/1 1 7 -0.267471 In -0.299409 -0.235534 17/4 1/1 1 7 -0.234916 In -0.251926 -0.217906 19/4 1/1 1 7 -0.210214 In -0.225925 -0.194503 21/4 -1/1 1 7 -0.190862 In -0.212295 -0.169428 23/4 -1/1 1 7 -0.174230 In -0.193527 -0.154934 25/4 1/1 1 7 -0.159808 In -0.172510 -0.147105 27/4 1/1 1 7 -0.147981 In -0.159908 -0.136054 29/4 -1/1 1 7 -0.138124 In -0.152958 -0.123291 31/4 -1/1 1 7 -0.129200 In -0.142968 -0.115432 33/4 1/1 1 7 -0.121097 In -0.131163 -0.111030 35/4 1/1 1 7 -0.114182 In -0.123748 -0.104616 37/4 -1/1 1 7 -0.108224 In -0.119545 -0.096903 39/4 -1/1 1 7 -0.102668 In -0.113354 -0.091981 41/4 1/1 1 7 -0.097484 In -0.105804 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