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 13 0.050000 In 0.013944 0.086056 -49/1 -147/1 1 13 0.051020 In 0.014229 0.087812 -48/1 -144/1 1 13 0.052083 In 0.014526 0.089641 -47/1 -141/1 1 13 0.053191 In 0.014835 0.091548 -46/1 -138/1 1 13 0.054348 In 0.015157 0.093539 -45/1 -135/1 1 13 0.055556 In 0.015494 0.095617 -44/1 -132/1 1 13 0.056818 In 0.015846 0.097790 -43/1 -129/1 1 13 0.058140 In 0.016215 0.100065 -42/1 -126/1 1 13 0.059524 In 0.016601 0.102447 -41/1 -123/1 1 13 0.060976 In 0.017005 0.104946 -40/1 -120/1 1 13 0.062500 In 0.017431 0.107569 -39/1 -117/1 1 13 0.064103 In 0.017878 0.110328 -38/1 -114/1 1 13 0.065789 In 0.018348 0.113231 -37/1 -111/1 1 13 0.067568 In 0.018844 0.116291 -36/1 -108/1 1 13 0.069444 In 0.019367 0.119522 -35/1 -105/1 1 13 0.071429 In 0.019921 0.122936 -34/1 -102/1 1 13 0.073529 In 0.020507 0.126552 -33/1 -99/1 1 13 0.075758 In 0.021128 0.130387 -32/1 -96/1 1 13 0.078125 In 0.021788 0.134462 -31/1 -93/1 1 13 0.080645 In 0.022491 0.138799 -30/1 -90/1 1 13 0.083333 In 0.023241 0.143426 -29/1 -87/1 1 13 0.086207 In 0.024042 0.148372 -28/1 -84/1 1 13 0.089286 In 0.024901 0.153671 -27/1 -81/1 1 13 0.092593 In 0.025823 0.159362 -26/1 -78/1 1 13 0.096154 In 0.026816 0.165491 -25/1 -75/1 1 13 0.100000 In 0.027889 0.172111 -24/1 -72/1 1 13 0.104167 In 0.029051 0.179282 -23/1 -69/1 1 13 0.108696 In 0.030314 0.187077 -22/1 -66/1 1 13 0.113636 In 0.031692 0.195581 -21/1 -63/1 1 13 0.119048 In 0.033201 0.204894 -20/1 -60/1 1 13 0.125000 In 0.034861 0.215139 -19/1 -57/1 1 13 0.131579 In 0.036696 0.226462 -18/1 -54/1 1 13 0.138889 In 0.038735 0.239043 -17/1 -51/1 1 13 0.147059 In 0.041013 0.253104 -16/1 -48/1 1 13 0.156250 In 0.043577 0.268923 -15/1 -45/1 1 13 0.166667 In 0.046482 0.286852 -14/1 -42/1 1 13 0.178571 In 0.049802 0.307341 -13/1 -39/1 1 13 0.192308 In 0.053633 0.330983 -12/1 -36/1 1 13 0.208333 In 0.058102 0.358565 -11/1 -33/1 1 13 0.227273 In 0.063384 0.391161 -10/1 -30/1 1 13 0.250000 In 0.069722 0.430278 -9/1 -27/1 1 13 0.277778 In 0.077469 0.478086 -8/1 -24/1 1 13 0.312500 In 0.087153 0.537847 -7/1 -21/1 1 13 0.357143 In 0.099603 0.614682 -6/1 -18/1 1 13 0.416667 In 0.116204 0.717129 -5/1 -15/1 1 13 0.500000 In 0.139445 0.860555 -4/1 -12/1 1 13 0.625000 In 0.174306 1.075694 -3/1 -9/1 1 13 0.833333 In 0.232408 1.434259 -2/1 -6/1 1 13 1.250000 In 0.348612 2.151388 -1/1 -3/1 1 13 2.500000 In 0.697224 4.302776 0/1 0/1 1 13 1/1 3/1 1 13 -2.500000 In -4.302776 -0.697224 2/1 6/1 1 13 -1.250000 In -2.151388 -0.348612 3/1 9/1 1 13 -0.833333 In -1.434259 -0.232408 4/1 12/1 1 13 -0.625000 In -1.075694 -0.174306 5/1 15/1 1 13 -0.500000 In -0.860555 -0.139445 6/1 18/1 1 13 -0.416667 In -0.717129 -0.116204 7/1 21/1 1 13 -0.357143 In -0.614682 -0.099603 8/1 24/1 1 13 -0.312500 In -0.537847 -0.087153 9/1 27/1 1 13 -0.277778 In -0.478086 -0.077469 10/1 30/1 1 13 -0.250000 In -0.430278 -0.069722 11/1 33/1 1 13 -0.227273 In -0.391161 -0.063384 12/1 36/1 1 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0.044172 0.044720 -43/2 1/0 1 13 0.046514 In 0.046214 0.046814 -41/2 1/0 1 13 0.048783 In 0.048453 0.049113 -39/2 1/0 1 13 0.051285 In 0.050920 0.051649 -37/2 1/0 1 13 0.054057 In 0.053652 0.054462 -35/2 1/0 1 13 0.057146 In 0.056694 0.057599 -33/2 1/0 1 13 0.060610 In 0.060101 0.061120 -31/2 1/0 1 13 0.064521 In 0.063944 0.065099 -29/2 1/0 1 13 0.068972 In 0.068312 0.069631 -27/2 1/0 1 13 0.074082 In 0.073321 0.074843 -25/2 1/0 1 13 0.080010 In 0.079122 0.080897 -23/2 1/0 1 13 0.086969 In 0.085920 0.088018 -21/2 1/0 1 13 0.095255 In 0.093997 0.096513 -19/2 1/0 1 13 0.105286 In 0.103749 0.106822 -17/2 1/0 1 13 0.117678 In 0.115758 0.119598 -15/2 1/0 1 13 0.133379 In 0.130913 0.135845 -13/2 1/0 1 13 0.153916 In 0.150632 0.157200 -11/2 1/0 1 13 0.181934 In 0.177347 0.186521 -9/2 1/0 1 13 0.222433 In 0.215579 0.229288 -7/2 1/0 1 13 0.286164 In 0.274825 0.297502 -5/2 1/0 1 13 0.401235 In 0.378978 0.423491 -3/2 1/0 1 13 0.672414 In 0.610249 0.734578 -1/2 1/0 1 13 2.166667 In 1.565741 2.767592 1/2 1/0 1 13 -2.166667 In -2.767592 -1.565741 3/2 1/0 1 13 -0.672414 In -0.734578 -0.610249 5/2 1/0 1 13 -0.401235 In -0.423491 -0.378978 7/2 1/0 1 13 -0.286164 In -0.297502 -0.274825 9/2 1/0 1 13 -0.222433 In -0.229288 -0.215579 11/2 1/0 1 13 -0.181934 In -0.186521 -0.177347 13/2 1/0 1 13 -0.153916 In -0.157200 -0.150632 15/2 1/0 1 13 -0.133379 In -0.135845 -0.130913 17/2 1/0 1 13 -0.117678 In -0.119598 -0.115758 19/2 1/0 1 13 -0.105286 In -0.106822 -0.103749 21/2 1/0 1 13 -0.095255 In -0.096513 -0.093997 23/2 1/0 1 13 -0.086969 In -0.088018 -0.085920 25/2 1/0 1 13 -0.080010 In -0.080897 -0.079122 27/2 1/0 1 13 -0.074082 In -0.074843 -0.073321 29/2 1/0 1 13 -0.068972 In -0.069631 -0.068312 31/2 1/0 1 13 -0.064521 In -0.065099 -0.063944 33/2 1/0 1 13 -0.060610 In -0.061120 -0.060101 35/2 1/0 1 13 -0.057146 In -0.057599 -0.056694 37/2 1/0 1 13 -0.054057 In -0.054462 -0.053652 39/2 1/0 1 13 -0.051285 In -0.051649 -0.050920 41/2 1/0 1 13 -0.048783 In -0.049113 -0.048453 43/2 1/0 1 13 -0.046514 In -0.046814 -0.046214 45/2 1/0 1 13 -0.044446 In -0.044720 -0.044172 47/2 1/0 1 13 -0.042555 In -0.042806 -0.042304 49/2 1/0 1 13 -0.040818 In -0.041049 -0.040587 -50/3 -50/1 1 13 0.063333 In 0.051315 0.075352 -49/3 -49/1 1 13 0.064626 In 0.052362 0.076890 -47/3 -47/1 1 13 0.067376 In 0.054590 0.080162 -46/3 -46/1 1 13 0.068841 In 0.055777 0.081904 -44/3 -44/1 1 13 0.071970 In 0.058312 0.085627 -43/3 -43/1 1 13 0.073643 In 0.059668 0.087618 -41/3 -41/1 1 13 0.077236 In 0.062579 0.091892 -40/3 -40/1 1 13 0.079167 In 0.064144 0.094190 -38/3 -38/1 1 13 0.083333 In 0.067520 0.099147 -37/3 -37/1 1 13 0.085586 In 0.069344 0.101827 -35/3 -35/1 1 13 0.090476 In 0.073307 0.107645 -34/3 -34/1 1 13 0.093137 In 0.075463 0.110812 -32/3 -32/1 1 13 0.098958 In 0.080179 0.117737 -31/3 -31/1 1 13 0.102151 In 0.082766 0.121535 -29/3 -29/1 1 13 0.109195 In 0.088474 0.129917 -28/3 -28/1 1 13 0.113095 In 0.091634 0.134557 -26/3 -26/1 1 13 0.121795 In 0.098682 0.144907 -25/3 -25/1 1 13 0.126667 In 0.102630 0.150704 -23/3 -23/1 1 13 0.137681 In 0.111554 0.163808 -22/3 -22/1 1 13 0.143939 In 0.116625 0.171254 -20/3 -20/1 1 13 0.158333 In 0.128287 0.188380 -19/3 -19/1 1 13 0.166667 In 0.135039 0.198294 -17/3 -17/1 1 13 0.186275 In 0.150926 0.221623 -16/3 -16/1 1 13 0.197917 In 0.160359 0.235474 -14/3 -14/1 1 13 0.226190 In 0.183267 0.269114 -13/3 -13/1 1 13 0.243590 In 0.197365 0.289815 -11/3 -11/1 1 13 0.287879 In 0.233249 0.342508 -10/3 -10/1 1 13 0.316667 In 0.256574 0.376759 -8/3 -8/1 1 13 0.395833 In 0.320718 0.470949 -7/3 -7/1 1 13 0.452381 In 0.366534 0.538227 -5/3 -5/1 1 13 0.633333 In 0.513148 0.753518 -4/3 -4/1 1 13 0.791667 In 0.641435 0.941898 -2/3 -2/1 1 13 1.583333 In 1.282871 1.883796 -1/3 -1/1 1 13 3.166667 In 2.565741 3.767592 1/3 1/1 1 13 -3.166667 In -3.767592 -2.565741 2/3 2/1 1 13 -1.583333 In -1.883796 -1.282871 4/3 4/1 1 13 -0.791667 In -0.941898 -0.641435 5/3 5/1 1 13 -0.633333 In -0.753518 -0.513148 7/3 7/1 1 13 -0.452381 In -0.538227 -0.366534 8/3 8/1 1 13 -0.395833 In -0.470949 -0.320718 10/3 10/1 1 13 -0.316667 In -0.376759 -0.256574 11/3 11/1 1 13 -0.287879 In -0.342508 -0.233249 13/3 13/1 1 13 -0.243590 In -0.289815 -0.197365 14/3 14/1 1 13 -0.226190 In -0.269114 -0.183267 16/3 16/1 1 13 -0.197917 In -0.235474 -0.160359 17/3 17/1 1 13 -0.186275 In -0.221623 -0.150926 19/3 19/1 1 13 -0.166667 In -0.198294 -0.135039 20/3 20/1 1 13 -0.158333 In -0.188380 -0.128287 22/3 22/1 1 13 -0.143939 In -0.171254 -0.116625 23/3 23/1 1 13 -0.137681 In -0.163808 -0.111554 25/3 25/1 1 13 -0.126667 In -0.150704 -0.102630 26/3 26/1 1 13 -0.121795 In -0.144907 -0.098682 28/3 28/1 1 13 -0.113095 In -0.134557 -0.091634 29/3 29/1 1 13 -0.109195 In -0.129917 -0.088474 31/3 31/1 1 13 -0.102151 In -0.121535 -0.082766 32/3 32/1 1 13 -0.098958 In -0.117737 -0.080179 34/3 34/1 1 13 -0.093137 In -0.110812 -0.075463 35/3 35/1 1 13 -0.090476 In -0.107645 -0.073307 37/3 37/1 1 13 -0.085586 In -0.101827 -0.069344 38/3 38/1 1 13 -0.083333 In -0.099147 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0.173938 In 0.171841 0.176036 -21/4 1/0 1 13 0.190509 In 0.187993 0.193026 -19/4 1/0 1 13 0.210571 In 0.207497 0.213645 -17/4 1/0 1 13 0.235357 In 0.231517 0.239197 -15/4 1/0 1 13 0.266758 In 0.261826 0.271690 -13/4 1/0 1 13 0.307832 In 0.301265 0.314400 -11/4 1/0 1 13 0.363868 In 0.354693 0.373042 -9/4 1/0 1 13 0.444867 In 0.431158 0.458576 -7/4 1/0 1 13 0.572327 In 0.549651 0.595003 -5/4 1/0 1 13 0.802469 In 0.757956 0.846982 -3/4 1/0 1 13 1.344828 In 1.220498 1.469157 -1/4 1/0 1 13 4.333333 In 3.131483 5.535184 1/4 1/0 1 13 -4.333333 In -5.535184 -3.131483 3/4 1/0 1 13 -1.344828 In -1.469157 -1.220498 5/4 1/0 1 13 -0.802469 In -0.846982 -0.757956 7/4 1/0 1 13 -0.572327 In -0.595003 -0.549651 9/4 1/0 1 13 -0.444867 In -0.458576 -0.431158 11/4 1/0 1 13 -0.363868 In -0.373042 -0.354693 13/4 1/0 1 13 -0.307832 In -0.314400 -0.301265 15/4 1/0 1 13 -0.266758 In -0.271690 -0.261826 17/4 1/0 1 13 -0.235357 In -0.239197 -0.231517 19/4 1/0 1 13 -0.210571 In -0.213645 -0.207497 21/4 1/0 1 13 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