SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 1/0 3 1 -50/1 -150/1 1 14 0.044000 In 0.014067 0.073933 -49/1 -147/1 1 14 0.044898 In 0.014354 0.075442 -48/1 -144/1 1 14 0.045833 In 0.014653 0.077014 -47/1 -141/1 1 14 0.046809 In 0.014965 0.078652 -46/1 -138/1 1 14 0.047826 In 0.015290 0.080362 -45/1 -135/1 1 14 0.048889 In 0.015630 0.082148 -44/1 -132/1 1 14 0.050000 In 0.015985 0.084015 -43/1 -129/1 1 14 0.051163 In 0.016357 0.085969 -42/1 -126/1 1 14 0.052381 In 0.016746 0.088016 -41/1 -123/1 1 14 0.053659 In 0.017155 0.090163 -40/1 -120/1 1 14 0.055000 In 0.017583 0.092417 -39/1 -117/1 1 14 0.056410 In 0.018034 0.094786 -38/1 -114/1 1 14 0.057895 In 0.018509 0.097281 -37/1 -111/1 1 14 0.059459 In 0.019009 0.099910 -36/1 -108/1 1 14 0.061111 In 0.019537 0.102685 -35/1 -105/1 1 14 0.062857 In 0.020095 0.105619 -34/1 -102/1 1 14 0.064706 In 0.020686 0.108725 -33/1 -99/1 1 14 0.066667 In 0.021313 0.112020 -32/1 -96/1 1 14 0.068750 In 0.021979 0.115521 -31/1 -93/1 1 14 0.070968 In 0.022688 0.119247 -30/1 -90/1 1 14 0.073333 In 0.023445 0.123222 -29/1 -87/1 1 14 0.075862 In 0.024253 0.127471 -28/1 -84/1 1 14 0.078571 In 0.025119 0.132024 -27/1 -81/1 1 14 0.081481 In 0.026050 0.136913 -26/1 -78/1 1 14 0.084615 In 0.027051 0.142179 -25/1 -75/1 1 14 0.088000 In 0.028133 0.147867 -24/1 -72/1 1 14 0.091667 In 0.029306 0.154028 -23/1 -69/1 1 14 0.095652 In 0.030580 0.160724 -22/1 -66/1 1 14 0.100000 In 0.031970 0.168030 -21/1 -63/1 1 14 0.104762 In 0.033492 0.176032 -20/1 -60/1 1 14 0.110000 In 0.035167 0.184833 -19/1 -57/1 1 14 0.115789 In 0.037018 0.194561 -18/1 -54/1 1 14 0.122222 In 0.039074 0.205370 -17/1 -51/1 1 14 0.129412 In 0.041373 0.217451 -16/1 -48/1 1 14 0.137500 In 0.043959 0.231041 -15/1 -45/1 1 14 0.146667 In 0.046889 0.246444 -14/1 -42/1 1 14 0.157143 In 0.050238 0.264047 -13/1 -39/1 1 14 0.169231 In 0.054103 0.284359 -12/1 -36/1 1 14 0.183333 In 0.058611 0.308055 -11/1 -33/1 1 14 0.200000 In 0.063940 0.336060 -10/1 -30/1 1 14 0.220000 In 0.070334 0.369666 -9/1 -27/1 1 14 0.244444 In 0.078149 0.410740 -8/1 -24/1 1 14 0.275000 In 0.087917 0.462083 -7/1 -21/1 1 14 0.314286 In 0.100477 0.528095 -6/1 -18/1 1 14 0.366667 In 0.117223 0.616110 -5/1 -15/1 1 14 0.440000 In 0.140667 0.739333 -4/1 -12/1 1 14 0.550000 In 0.175834 0.924166 -3/1 -9/1 1 14 0.733333 In 0.234446 1.232221 -2/1 -6/1 1 14 1.100000 In 0.351669 1.848331 -1/1 -3/1 1 14 2.200000 In 0.703337 3.696663 0/1 0/1 1 14 1/1 3/1 1 14 -2.200000 In -3.696663 -0.703337 2/1 6/1 1 14 -1.100000 In -1.848331 -0.351669 3/1 9/1 1 14 -0.733333 In -1.232221 -0.234446 4/1 12/1 1 14 -0.550000 In -0.924166 -0.175834 5/1 15/1 1 14 -0.440000 In -0.739333 -0.140667 6/1 18/1 1 14 -0.366667 In -0.616110 -0.117223 7/1 21/1 1 14 -0.314286 In -0.528095 -0.100477 8/1 24/1 1 14 -0.275000 In -0.462083 -0.087917 9/1 27/1 1 14 -0.244444 In -0.410740 -0.078149 10/1 30/1 1 14 -0.220000 In -0.369666 -0.070334 11/1 33/1 1 14 -0.200000 In -0.336060 -0.063940 12/1 36/1 1 14 -0.183333 In -0.308055 -0.058611 13/1 39/1 1 14 -0.169231 In -0.284359 -0.054103 14/1 42/1 1 14 -0.157143 In -0.264047 -0.050238 15/1 45/1 1 14 -0.146667 In -0.246444 -0.046889 16/1 48/1 1 14 -0.137500 In -0.231041 -0.043959 17/1 51/1 1 14 -0.129412 In -0.217451 -0.041373 18/1 54/1 1 14 -0.122222 In -0.205370 -0.039074 19/1 57/1 1 14 -0.115789 In -0.194561 -0.037018 20/1 60/1 1 14 -0.110000 In -0.184833 -0.035167 21/1 63/1 1 14 -0.104762 In -0.176032 -0.033492 22/1 66/1 1 14 -0.100000 In -0.168030 -0.031970 23/1 69/1 1 14 -0.095652 In -0.160724 -0.030580 24/1 72/1 1 14 -0.091667 In -0.154028 -0.029306 25/1 75/1 1 14 -0.088000 In -0.147867 -0.028133 26/1 78/1 1 14 -0.084615 In -0.142179 -0.027051 27/1 81/1 1 14 -0.081481 In -0.136913 -0.026050 28/1 84/1 1 14 -0.078571 In -0.132024 -0.025119 29/1 87/1 1 14 -0.075862 In -0.127471 -0.024253 30/1 90/1 1 14 -0.073333 In -0.123222 -0.023445 31/1 93/1 1 14 -0.070968 In -0.119247 -0.022688 32/1 96/1 1 14 -0.068750 In -0.115521 -0.021979 33/1 99/1 1 14 -0.066667 In -0.112020 -0.021313 34/1 102/1 1 14 -0.064706 In -0.108725 -0.020686 35/1 105/1 1 14 -0.062857 In -0.105619 -0.020095 36/1 108/1 1 14 -0.061111 In -0.102685 -0.019537 37/1 111/1 1 14 -0.059459 In -0.099910 -0.019009 38/1 114/1 1 14 -0.057895 In -0.097281 -0.018509 39/1 117/1 1 14 -0.056410 In -0.094786 -0.018034 40/1 120/1 1 14 -0.055000 In -0.092417 -0.017583 41/1 123/1 1 14 -0.053659 In -0.090163 -0.017155 42/1 126/1 1 14 -0.052381 In -0.088016 -0.016746 43/1 129/1 1 14 -0.051163 In -0.085969 -0.016357 44/1 132/1 1 14 -0.050000 In -0.084015 -0.015985 45/1 135/1 1 14 -0.048889 In -0.082148 -0.015630 46/1 138/1 1 14 -0.047826 In -0.080362 -0.015290 47/1 141/1 1 14 -0.046809 In -0.078652 -0.014965 48/1 144/1 1 14 -0.045833 In -0.077014 -0.014653 49/1 147/1 1 14 -0.044898 In -0.075442 -0.014354 50/1 150/1 1 14 -0.044000 In -0.073933 -0.014067 -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 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0.120306 -29/3 -29/1 1 14 0.108753 In 0.088904 0.128603 -28/3 -28/1 1 14 0.112637 In 0.092079 0.133196 -26/3 -26/1 1 14 0.121302 In 0.099162 0.143442 -25/3 -25/1 1 14 0.126154 In 0.103128 0.149179 -23/3 -23/1 1 14 0.137124 In 0.112096 0.162152 -22/3 -22/1 1 14 0.143357 In 0.117191 0.169522 -20/3 -20/1 1 14 0.157692 In 0.128910 0.186474 -19/3 -19/1 1 14 0.165992 In 0.135695 0.196289 -17/3 -17/1 1 14 0.185520 In 0.151659 0.219382 -16/3 -16/1 1 14 0.197115 In 0.161138 0.233093 -14/3 -14/1 1 14 0.225275 In 0.184158 0.266392 -13/3 -13/1 1 14 0.242604 In 0.198324 0.286884 -11/3 -11/1 1 14 0.286713 In 0.234382 0.339044 -10/3 -10/1 1 14 0.315385 In 0.257821 0.372949 -8/3 -8/1 1 14 0.394231 In 0.322276 0.466186 -7/3 -7/1 1 14 0.450549 In 0.368315 0.532784 -5/3 -5/1 1 14 0.630769 In 0.515641 0.745897 -4/3 -4/1 1 14 0.788462 In 0.644552 0.932371 -2/3 -2/1 1 14 1.576923 In 1.289103 1.864743 -1/3 -1/1 1 14 3.153846 In 2.578207 3.729486 1/3 1/1 1 14 -3.153846 In -3.729486 -2.578207 2/3 2/1 1 14 -1.576923 In -1.864743 -1.289103 4/3 4/1 1 14 -0.788462 In -0.932371 -0.644552 5/3 5/1 1 14 -0.630769 In -0.745897 -0.515641 7/3 7/1 1 14 -0.450549 In -0.532784 -0.368315 8/3 8/1 1 14 -0.394231 In -0.466186 -0.322276 10/3 10/1 1 14 -0.315385 In -0.372949 -0.257821 11/3 11/1 1 14 -0.286713 In -0.339044 -0.234382 13/3 13/1 1 14 -0.242604 In -0.286884 -0.198324 14/3 14/1 1 14 -0.225275 In -0.266392 -0.184158 16/3 16/1 1 14 -0.197115 In -0.233093 -0.161138 17/3 17/1 1 14 -0.185520 In -0.219382 -0.151659 19/3 19/1 1 14 -0.165992 In -0.196289 -0.135695 20/3 20/1 1 14 -0.157692 In -0.186474 -0.128910 22/3 22/1 1 14 -0.143357 In -0.169522 -0.117191 23/3 23/1 1 14 -0.137124 In -0.162152 -0.112096 25/3 25/1 1 14 -0.126154 In -0.149179 -0.103128 26/3 26/1 1 14 -0.121302 In -0.143442 -0.099162 28/3 28/1 1 14 -0.112637 In -0.133196 -0.092079 29/3 29/1 1 14 -0.108753 In -0.128603 -0.088904 31/3 31/1 1 14 -0.101737 In -0.120306 -0.083168 32/3 32/1 1 14 -0.098558 In -0.116546 -0.080569 34/3 34/1 1 14 -0.092760 In -0.109691 -0.075830 35/3 35/1 1 14 -0.090110 In -0.106557 -0.073663 37/3 37/1 1 14 -0.085239 In -0.100797 -0.069681 38/3 38/1 1 14 -0.082996 In -0.098144 -0.067848 40/3 40/1 1 14 -0.078846 In -0.093237 -0.064455 41/3 41/1 1 14 -0.076923 In -0.090963 -0.062883 43/3 43/1 1 14 -0.073345 In -0.086732 -0.059958 44/3 44/1 1 14 -0.071678 In -0.084761 -0.058596 46/3 46/1 1 14 -0.068562 In -0.081076 -0.056048 47/3 47/1 1 14 -0.067103 In -0.079351 -0.054855 49/3 49/1 1 14 -0.064364 In -0.076112 -0.052616 50/3 50/1 1 14 -0.063077 In -0.074590 -0.051564 -49/4 1/0 1 7 0.081638 In 0.081008 0.082267 -47/4 1/0 1 7 0.085112 In 0.084427 0.085796 -45/4 1/0 1 7 0.088895 In 0.088149 0.089642 -43/4 1/0 1 7 0.093030 In 0.092213 0.093848 -41/4 1/0 1 7 0.097569 In 0.096670 0.098469 -39/4 1/0 1 7 0.102574 In 0.101580 0.103568 -37/4 1/0 1 7 0.108119 In 0.107015 0.109224 -35/4 1/0 1 7 0.114299 In 0.113065 0.115533 -33/4 1/0 1 7 0.121228 In 0.119840 0.122617 -31/4 1/0 1 7 0.129051 In 0.127478 0.130625 -29/4 1/0 1 7 0.137954 In 0.136156 0.139752 -27/4 1/0 1 7 0.148177 In 0.146103 0.150251 -25/4 1/0 1 7 0.160037 In 0.157617 0.162456 -23/4 1/0 1 7 0.173960 In 0.171101 0.176819 -21/4 1/0 1 7 0.190538 In 0.187109 0.193967 -19/4 1/0 1 7 0.210610 In 0.206420 0.214799 -17/4 1/0 1 7 0.235410 In 0.230177 0.240644 -15/4 1/0 1 7 0.266836 In 0.260112 0.273560 -13/4 1/0 1 7 0.307953 In 0.298999 0.316906 -11/4 1/0 1 7 0.364066 In 0.351557 0.376576 -9/4 1/0 1 7 0.445230 In 0.426532 0.463928 -7/4 1/0 1 7 0.573099 In 0.542155 0.604044 -5/4 1/0 1 7 0.804598 In 0.743776 0.865420 -3/4 1/0 1 7 1.354839 In 1.184145 1.525532 -1/4 1/0 1 7 4.666667 In 2.902832 6.430501 1/4 1/0 1 7 -4.666667 In -6.430501 -2.902832 3/4 1/0 1 7 -1.354839 In -1.525532 -1.184145 5/4 1/0 1 7 -0.804598 In -0.865420 -0.743776 7/4 1/0 1 7 -0.573099 In -0.604044 -0.542155 9/4 1/0 1 7 -0.445230 In -0.463928 -0.426532 11/4 1/0 1 7 -0.364066 In -0.376576 -0.351557 13/4 1/0 1 7 -0.307953 In -0.316906 -0.298999 15/4 1/0 1 7 -0.266836 In -0.273560 -0.260112 17/4 1/0 1 7 -0.235410 In -0.240644 -0.230177 19/4 1/0 1 7 -0.210610 In -0.214799 -0.206420 21/4 1/0 1 7 -0.190538 In -0.193967 -0.187109 23/4 1/0 1 7 -0.173960 In -0.176819 -0.171101 25/4 1/0 1 7 -0.160037 In -0.162456 -0.157617 27/4 1/0 1 7 -0.148177 In -0.150251 -0.146103 29/4 1/0 1 7 -0.137954 In -0.139752 -0.136156 31/4 1/0 1 7 -0.129051 In -0.130625 -0.127478 33/4 1/0 1 7 -0.121228 In -0.122617 -0.119840 35/4 1/0 1 7 -0.114299 In -0.115533 -0.113065 37/4 1/0 1 7 -0.108119 In -0.109224 -0.107015 39/4 1/0 1 7 -0.102574 In -0.103568 -0.101580 41/4 1/0 1 7 -0.097569 In -0.098469 -0.096670 43/4 1/0 1 7 -0.093030 In -0.093848 -0.092213 45/4 1/0 1 7 -0.088895 In -0.089642 -0.088149 47/4 1/0 1 7 -0.085112 In -0.085796 -0.084427 49/4 1/0 1 7 -0.081638 In -0.082267 -0.081008 -49/5 -29/1 1 14 0.103774 In 0.092814 0.114735 -48/5 -28/1 1 14 0.105872 In 0.094934 0.116810 -47/5 -29/1 1 14 0.108393 In 0.096205 0.120581 -46/5 -28/1 1 14 0.110680 In 0.098484 0.122875 -44/5 -26/1 1 14 0.115559 In 0.103383 0.127735 -43/5 -25/1 1 14 0.118166 In 0.106021 0.130312 -42/5 -26/1 1 14 0.121316 In 0.107608 0.135024 -41/5 -25/1 1 14 0.124187 In 0.110468 0.137906 -39/5 -23/1 1 14 0.130364 In 0.116669 0.144058 -38/5 -22/1 1 14 0.133691 In 0.120039 0.147344 -37/5 -23/1 1 14 0.137737 In 0.122077 0.153396 -36/5 -22/1 1 14 0.141450 In 0.125771 0.157128 -34/5 -20/1 1 14 0.149518 In 0.133873 0.165164 -33/5 -19/1 1 14 0.153913 In 0.138328 0.169498 -32/5 -20/1 1 14 0.159300 In 0.141042 0.177557 -31/5 -19/1 1 14 0.164286 In 0.145997 0.182576 -29/5 -17/1 1 14 0.175272 In 0.157028 0.193516 -28/5 -16/1 1 14 0.181343 In 0.163193 0.199493 -27/5 -17/1 1 14 0.188868 In 0.166984 0.210751 -26/5 -16/1 1 14 0.195917 In 0.173974 0.217859 -24/5 -14/1 1 14 0.211744 In 0.189868 0.233619 -23/5 -13/1 1 14 0.220672 In 0.198957 0.242386 -22/5 -14/1 1 14 0.231915 In 0.204620 0.259210 -21/5 -13/1 1 14 0.242631 In 0.215215 0.270047 -19/5 -11/1 1 14 0.267383 In 0.240077 0.294689 -18/5 -10/1 1 14 0.281785 In 0.254794 0.308777 -17/5 -11/1 1 14 0.300382 In 0.264157 0.336607 -16/5 -10/1 1 14 0.318599 In 0.282085 0.355114 -14/5 -8/1 1 14 0.362687 In 0.326387 0.398986 -13/5 -7/1 1 14 0.389728 In 0.354201 0.425255 -12/5 -8/1 1 14 0.426230 In 0.372558 0.479901 -11/5 -7/1 1 14 0.463830 In 0.409240 0.518419 -9/5 -5/1 1 14 0.563571 In 0.509588 0.617553 -8/5 -4/1 1 14 0.631818 In 0.580796 0.682841 -7/5 -5/1 1 14 0.733737 In 0.631846 0.835628 -6/5 -4/1 1 14 0.852459 In 0.745116 0.959802 -4/5 -2/1 1 14 1.263636 In 1.161591 1.365682 -3/5 -1/1 1 14 1.672000 In 1.612133 1.731867 -2/5 -2/1 1 14 2.653846 In 2.078207 3.229486 -1/5 -1/1 1 14 5.307692 In 4.156413 6.458972 1/5 1/1 1 14 -5.307692 In -6.458972 -4.156413 2/5 2/1 1 14 -2.653846 In -3.229486 -2.078207 3/5 1/1 1 14 -1.672000 In -1.731867 -1.612133 4/5 2/1 1 14 -1.263636 In -1.365682 -1.161591 6/5 4/1 1 14 -0.852459 In -0.959802 -0.745116 7/5 5/1 1 14 -0.733737 In -0.835628 -0.631846 8/5 4/1 1 14 -0.631818 In -0.682841 -0.580796 9/5 5/1 1 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