SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 2 -50/1 0/1 1 20 0.020000 In 0.015528 0.024472 -49/1 0 20 -48/1 0/1 1 20 0.020833 In 0.016175 0.025492 -47/1 0 20 -46/1 0/1 1 20 0.021739 In 0.016878 0.026600 -45/1 0 20 -44/1 0/1 1 20 0.022727 In 0.017645 0.027809 -43/1 0 20 -42/1 0/1 1 20 0.023810 In 0.018486 0.029133 -41/1 0 20 -40/1 0/1 1 20 0.025000 In 0.019410 0.030590 -39/1 0 20 -38/1 0/1 1 20 0.026316 In 0.020431 0.032200 -37/1 0 20 -36/1 0/1 1 20 0.027778 In 0.021566 0.033989 -35/1 0 20 -34/1 0/1 1 20 0.029412 In 0.022835 0.035988 -33/1 0 20 -32/1 0/1 1 20 0.031250 In 0.024262 0.038238 -31/1 0 20 -30/1 0/1 1 20 0.033333 In 0.025880 0.040787 -29/1 0 20 -28/1 0/1 1 20 0.035714 In 0.027728 0.043700 -27/1 0 20 -26/1 0/1 1 20 0.038462 In 0.029861 0.047062 -25/1 0 20 -24/1 0/1 1 20 0.041667 In 0.032350 0.050984 -23/1 0 20 -22/1 0/1 1 20 0.045455 In 0.035291 0.055618 -21/1 0 20 -20/1 0/1 1 20 0.050000 In 0.038820 0.061180 -19/1 0 20 -18/1 0/1 1 20 0.055556 In 0.043133 0.067978 -17/1 0 20 -16/1 0/1 1 20 0.062500 In 0.048525 0.076475 -15/1 0 20 -14/1 0/1 1 20 0.071429 In 0.055457 0.087400 -13/1 0 20 -12/1 0/1 1 20 0.083333 In 0.064699 0.101967 -11/1 0 20 -10/1 0/1 1 20 0.100000 In 0.077639 0.122361 -9/1 0 20 -8/1 0/1 1 20 0.125000 In 0.097049 0.152951 -7/1 0 20 -6/1 0/1 1 20 0.166667 In 0.129399 0.203934 -5/1 0 20 -4/1 0/1 1 20 0.250000 In 0.194098 0.305902 -3/1 0 20 -2/1 0/1 1 20 0.500000 In 0.388197 0.611803 -1/1 0 20 0/1 0/1 1 20 1/1 0 20 2/1 0/1 1 20 -0.500000 In -0.611803 -0.388197 3/1 0 20 4/1 0/1 1 20 -0.250000 In -0.305902 -0.194098 5/1 0 20 6/1 0/1 1 20 -0.166667 In -0.203934 -0.129399 7/1 0 20 8/1 0/1 1 20 -0.125000 In -0.152951 -0.097049 9/1 0 20 10/1 0/1 1 20 -0.100000 In -0.122361 -0.077639 11/1 0 20 12/1 0/1 1 20 -0.083333 In -0.101967 -0.064699 13/1 0 20 14/1 0/1 1 20 -0.071429 In -0.087400 -0.055457 15/1 0 20 16/1 0/1 1 20 -0.062500 In -0.076475 -0.048525 17/1 0 20 18/1 0/1 1 20 -0.055556 In -0.067978 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0.035586 0.049615 -45/2 1/0 1 10 0.044447 In 0.044134 0.044759 -43/2 1/1 1 10 0.046568 In 0.038872 0.054265 -41/2 1/0 1 10 0.048783 In 0.048407 0.049160 -39/2 1/1 1 10 0.051351 In 0.042826 0.059876 -37/2 1/0 1 10 0.054058 In 0.053596 0.054520 -35/2 1/1 1 10 0.057229 In 0.047677 0.066781 -33/2 1/0 1 10 0.060612 In 0.060031 0.061192 -31/2 1/1 1 10 0.064627 In 0.053767 0.075487 -29/2 1/0 1 10 0.068974 In 0.068222 0.069726 -27/2 1/1 1 10 0.074221 In 0.061640 0.086803 -25/2 1/0 1 10 0.080013 In 0.079001 0.081025 -23/2 1/1 1 10 0.087162 In 0.072215 0.102109 -21/2 1/0 1 10 0.095260 In 0.093825 0.096694 -19/2 1/1 1 10 0.105569 In 0.087169 0.123970 -17/2 1/0 1 10 0.117688 In 0.115499 0.119877 -15/2 1/1 1 10 0.133837 In 0.109934 0.157741 -13/2 1/0 1 10 0.153937 In 0.150193 0.157682 -11/2 1/1 1 10 0.182796 In 0.148793 0.216799 -9/2 1/0 1 10 0.222497 In 0.214679 0.230315 -7/2 1/1 1 10 0.288344 In 0.230142 0.346545 -5/2 1/0 1 10 0.401606 In 0.376207 0.427006 -3/2 1/1 1 10 0.685393 In 0.507737 0.863049 -1/2 1/0 1 10 2.222222 In 1.519494 2.924951 1/2 1/1 1 10 -2.111111 In -2.462475 -1.759747 3/2 1/0 1 10 -0.674157 In -0.745220 -0.603095 5/2 1/1 1 10 -0.397590 In -0.435690 -0.359491 7/2 1/0 1 10 -0.286299 In -0.299232 -0.273365 9/2 1/1 1 10 -0.221261 In -0.248623 -0.193899 11/2 1/0 1 10 -0.181969 In -0.187200 -0.176737 13/2 1/1 1 10 -0.153345 In -0.173940 -0.132750 15/2 1/0 1 10 -0.133393 In -0.136205 -0.130580 17/2 1/1 1 10 -0.117342 In -0.133761 -0.100923 19/2 1/0 1 10 -0.105292 In -0.107045 -0.103540 21/2 1/1 1 10 -0.095033 In -0.108660 -0.081405 23/2 1/0 1 10 -0.086973 In -0.088169 -0.085777 25/2 1/1 1 10 -0.079853 In -0.091492 -0.068214 27/2 1/0 1 10 -0.074084 In -0.074952 -0.073217 29/2 1/1 1 10 -0.068855 In -0.079008 -0.058701 31/2 1/0 1 10 -0.064523 In -0.065181 -0.063865 33/2 1/1 1 10 -0.060520 In -0.069523 -0.051517 35/2 1/0 1 10 -0.057148 In -0.057664 -0.056631 37/2 1/1 1 10 -0.053985 In -0.062070 -0.045900 39/2 1/0 1 10 -0.051285 In -0.051701 -0.050870 41/2 1/1 1 10 -0.048724 In -0.056061 -0.041387 43/2 1/0 1 10 -0.046514 In -0.046856 -0.046172 45/2 1/1 1 10 -0.044397 In -0.051113 -0.037682 47/2 1/0 1 10 -0.042555 In -0.042841 -0.042269 49/2 1/1 1 10 -0.040776 In -0.046967 -0.034586 -50/3 0/1 1 20 0.060000 In 0.055528 0.064472 -49/3 0 20 -47/3 0 20 -46/3 0/1 1 20 0.065217 In 0.060356 0.070078 -44/3 0/1 1 20 0.068182 In 0.063100 0.073264 -43/3 0 20 -41/3 0 20 -40/3 0/1 1 20 0.075000 In 0.069410 0.080590 -38/3 0/1 1 20 0.078947 In 0.073063 0.084832 -37/3 0 20 -35/3 0 20 -34/3 0/1 1 20 0.088235 In 0.081659 0.094812 -32/3 0/1 1 20 0.093750 In 0.086762 0.100738 -31/3 0 20 -29/3 0 20 -28/3 0/1 1 20 0.107143 In 0.099157 0.115129 -26/3 0/1 1 20 0.115385 In 0.106784 0.123985 -25/3 0 20 -23/3 0 20 -22/3 0/1 1 20 0.136364 In 0.126200 0.146528 -20/3 0/1 1 20 0.150000 In 0.138820 0.161180 -19/3 0 20 -17/3 0 20 -16/3 0/1 1 20 0.187500 In 0.173525 0.201475 -14/3 0/1 1 20 0.214286 In 0.198314 0.230258 -13/3 0 20 -11/3 0 20 -10/3 0/1 1 20 0.300000 In 0.277639 0.322361 -8/3 0/1 1 20 0.375000 In 0.347049 0.402951 -7/3 0 20 -5/3 0 20 -4/3 0/1 1 20 0.750000 In 0.694098 0.805902 -2/3 0/1 1 20 1.500000 In 1.388197 1.611803 -1/3 0 20 1/3 0 20 2/3 0/1 1 20 -1.500000 In -1.611803 -1.388197 4/3 0/1 1 20 -0.750000 In -0.805902 -0.694098 5/3 0 20 7/3 0 20 8/3 0/1 1 20 -0.375000 In -0.402951 -0.347049 10/3 0/1 1 20 -0.300000 In -0.322361 -0.277639 11/3 0 20 13/3 0 20 14/3 0/1 1 20 -0.214286 In -0.230258 -0.198314 16/3 0/1 1 20 -0.187500 In -0.201475 -0.173525 17/3 0 20 19/3 0 20 20/3 0/1 1 20 -0.150000 In -0.161180 -0.138820 22/3 0/1 1 20 -0.136364 In -0.146528 -0.126200 23/3 0 20 25/3 0 20 26/3 0/1 1 20 -0.115385 In -0.123985 -0.106784 28/3 0/1 1 20 -0.107143 In -0.115129 -0.099157 29/3 0 20 31/3 0 20 32/3 0/1 1 20 -0.093750 In -0.100738 -0.086762 34/3 0/1 1 20 -0.088235 In -0.094812 -0.081659 35/3 0 20 37/3 0 20 38/3 0/1 1 20 -0.078947 In -0.084832 -0.073063 40/3 0/1 1 20 -0.075000 In -0.080590 -0.069410 41/3 0 20 43/3 0 20 44/3 0/1 1 20 -0.068182 In 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1/1 1 4 0.139109 In 0.123288 0.154930 -34/5 1/0 3 4 0.147154 In 0.143406 0.150903 -33/5 1/0 3 4 0.151620 In 0.147641 0.155599 -32/5 1/0 1 4 0.156288 In 0.153846 0.158730 -31/5 0/1 2 4 0.161290 In 0.138480 0.184100 -29/5 0/1 1 4 0.172414 In 0.155172 0.189655 -28/5 1/1 2 4 0.179324 In 0.149541 0.209106 -27/5 1/1 2 4 0.185999 In 0.154938 0.217059 -26/5 1/1 1 4 0.192749 In 0.169811 0.215686 -24/5 1/0 3 4 0.208605 In 0.201078 0.216132 -23/5 1/0 3 4 0.217700 In 0.209503 0.225897 -22/5 1/0 1 4 0.227390 In 0.222222 0.232558 -21/5 0/1 2 4 0.238095 In 0.204423 0.271767 -19/5 0/1 1 4 0.263158 In 0.236842 0.289474 -18/5 1/1 2 4 0.279753 In 0.229479 0.330026 -17/5 1/1 2 4 0.296360 In 0.242439 0.350282 -16/5 1/1 1 4 0.313783 In 0.272727 0.354839 -14/5 1/0 3 4 0.358515 In 0.336337 0.380692 -13/5 1/0 3 4 0.386330 In 0.360594 0.412066 -12/5 1/0 1 4 0.417391 In 0.400000 0.434783 -11/5 0/1 2 4 0.454545 In 0.390263 0.518828 -9/5 0/1 1 4 0.555556 In 0.500000 0.611111 -8/5 1/1 2 4 0.637795 In 0.493033 0.782557 -7/5 1/1 2 4 0.731959 In 0.557005 0.906913 -6/5 1/1 1 4 0.846154 In 0.692308 1.000000 -4/5 1/0 3 4 1.311475 In 1.027533 1.595418 -3/5 1/0 3 4 1.818182 In 1.293318 2.343046 -2/5 1/0 1 4 2.666667 In 2.000000 3.333333 -1/5 0/1 2 4 5.000000 In 4.292893 5.707107 1/5 0/1 1 4 -5.000000 In -5.500000 -4.500000 2/5 1/1 2 4 -2.714286 In -3.320377 -2.108194 3/5 1/1 2 4 -1.705882 In -1.872260 -1.539504 4/5 1/1 1 4 -1.253968 In -1.285714 -1.222222 6/5 1/0 3 4 -0.851064 In -0.973904 -0.728223 7/5 1/0 3 4 -0.725389 In -0.815132 -0.635645 8/5 1/0 1 4 -0.627451 In -0.666667 -0.588235 9/5 0/1 2 4 -0.555556 In -0.634123 -0.476988 11/5 0/1 1 4 -0.454545 In -0.500000 -0.409091 12/5 1/1 2 4 -0.414634 In -0.449127 -0.380141 13/5 1/1 2 4 -0.382789 In -0.416361 -0.349217 14/5 1/1 1 4 -0.356322 In -0.379310 -0.333333 16/5 1/0 3 4 -0.313418 In -0.330382 -0.296454 17/5 1/0 3 4 -0.294883 In -0.309905 -0.279861 18/5 1/0 1 4 -0.277992 In -0.285714 -0.270270 19/5 0/1 2 4 -0.263158 In -0.300374 -0.225942 21/5 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