SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 36 -50/1 0 18 -49/1 0 36 -48/1 0 3 -47/1 0 36 -46/1 0 18 -45/1 2/3 2 4 0.023727 In -0.024159 0.071613 -44/1 0 9 -43/1 0 36 -42/1 4/5 2 6 0.027672 In -0.042581 0.097926 -41/1 0 36 -40/1 0 9 -39/1 10/11 1 12 0.031842 In -0.051936 0.115620 -38/1 0 18 -37/1 0 36 -36/1 1/1 32 1 0.053797 In -0.111791 0.219386 -35/1 0 36 -34/1 0 18 -33/1 12/11 1 12 0.040854 In -0.059659 0.141368 -32/1 0 9 -31/1 0 36 -30/1 6/5 2 6 0.045045 In -0.056381 0.146471 -29/1 0 36 -28/1 0 9 -27/1 4/3 2 4 0.045770 In -0.037592 0.129132 -26/1 0 18 -25/1 0 36 -24/1 0 3 -23/1 0 36 -22/1 0 18 -21/1 4/3 1 12 0.050038 In 0.006047 0.094029 -20/1 0 9 -19/1 0 36 -18/1 2/1 2 2 0.062500 In 0.000000 0.125000 -17/1 0 36 -16/1 0 9 -15/1 2/1 1 12 0.067507 In 0.045664 0.089351 -14/1 0 18 -13/1 0 36 -12/1 1/1 8 3 0.103774 In -0.046431 0.253978 -11/1 0 36 -10/1 0 18 -9/1 2/1 2 4 0.126582 In 0.028124 0.225040 -8/1 0 9 -7/1 0 36 -6/1 2/1 2 6 0.192308 In 0.059073 0.325542 -5/1 0 36 -4/1 0 9 -3/1 2/1 1 12 0.365385 In 0.198841 0.531928 -2/1 0 18 -1/1 0 36 0/1 0 1 1/1 0 36 2/1 0 18 3/1 0/1 1 12 -0.333333 In -0.429558 -0.237108 4/1 0 9 5/1 0 36 6/1 0/1 2 6 -0.166667 In -0.262892 -0.070442 7/1 0 36 8/1 0 9 9/1 0/1 2 4 -0.111111 In -0.189679 -0.032544 10/1 0 18 11/1 0 36 12/1 1/1 8 3 -0.066038 In -0.193134 0.061058 13/1 0 36 14/1 0 18 15/1 0/1 1 12 -0.066667 In -0.085912 -0.047422 16/1 0 9 17/1 0 36 18/1 0/1 2 2 -0.055556 In -0.111111 0.000000 19/1 0 36 20/1 0 9 21/1 2/3 1 12 -0.046520 In -0.086481 -0.006560 22/1 0 18 23/1 0 36 24/1 0 3 25/1 0 36 26/1 0 18 27/1 2/3 2 4 -0.033012 In -0.109851 0.043826 28/1 0 9 29/1 0 36 30/1 4/5 2 6 -0.026080 In -0.120298 0.068137 31/1 0 36 32/1 0 9 33/1 10/11 1 12 -0.022054 In -0.116350 0.072242 34/1 0 18 35/1 0 36 36/1 1/1 32 1 -0.003165 In -0.159802 0.153473 37/1 0 36 38/1 0 18 39/1 12/11 1 12 -0.018555 In -0.098328 0.061218 40/1 0 9 41/1 0 36 42/1 6/5 2 6 -0.018265 In -0.085491 0.048961 43/1 0 36 44/1 0 9 45/1 4/3 2 4 -0.019336 In -0.065261 0.026589 46/1 0 18 47/1 0 36 48/1 0 3 49/1 0 36 50/1 0 18 -49/2 0 36 -47/2 0 36 -45/2 2/1 4 4 0.045522 In 0.021277 0.069767 -43/2 0 36 -41/2 0 36 -39/2 4/3 1 12 0.051985 In 0.028240 0.075730 -37/2 0 36 -35/2 0 36 -33/2 2/1 1 12 0.060778 In 0.050967 0.070589 -31/2 0 36 -29/2 0 36 -27/2 0/1 4 4 0.074074 In 0.037037 0.111111 -25/2 0 36 -23/2 0 36 -21/2 2/1 1 12 0.095688 In 0.079311 0.112066 -19/2 0 36 -17/2 0 36 -15/2 0/1 1 12 0.133333 In 0.114088 0.152578 -13/2 0 36 -11/2 0 36 -9/2 2/1 4 4 0.259740 In 0.090909 0.428571 -7/2 0 36 -5/2 0 36 -3/2 0/1 1 12 0.666667 In 0.570442 0.762892 -1/2 0 36 1/2 0 36 3/2 2/1 1 12 -0.673077 In -0.706386 -0.639768 5/2 0 36 7/2 0 36 9/2 0/1 4 4 -0.222222 In -0.333333 -0.111111 11/2 0 36 13/2 0 36 15/2 2/1 1 12 -0.132789 In -0.146923 -0.118655 17/2 0 36 19/2 0 36 21/2 0/1 1 12 -0.095238 In -0.108985 -0.081492 23/2 0 36 25/2 0 36 27/2 2/1 4 4 -0.071724 In -0.103448 -0.040000 29/2 0 36 31/2 0 36 33/2 0/1 1 12 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0.111618 -37/4 0 36 -35/4 0 36 -33/4 0/1 1 12 0.121212 In 0.112464 0.129960 -31/4 0 36 -29/4 0 36 -27/4 4/3 1 4 0.153103 In 0.086207 0.220000 -25/4 0 36 -23/4 0 36 -21/4 0/1 1 12 0.190476 In 0.176730 0.204223 -19/4 0 36 -17/4 0 36 -15/4 2/1 1 12 0.267804 In 0.238251 0.297357 -13/4 0 36 -11/4 0 36 -9/4 2/1 1 4 0.456250 In 0.350000 0.562500 -7/4 0 36 -5/4 0 36 -3/4 2/1 1 12 1.403846 In 1.037451 1.770242 -1/4 0 36 1/4 0 36 3/4 0/1 1 12 -1.333333 In -1.429558 -1.237108 5/4 0 36 7/4 0 36 9/4 0/1 1 4 -0.444444 In -0.500000 -0.388889 11/4 0 36 13/4 0 36 15/4 0/1 1 12 -0.266667 In -0.285912 -0.247422 17/4 0 36 19/4 0 36 21/4 2/1 1 12 -0.190242 In -0.198758 -0.181726 23/4 0 36 25/4 0 36 27/4 2/3 1 4 -0.146291 In -0.196429 -0.096154 29/4 0 36 31/4 0 36 33/4 2/1 1 12 -0.121096 In -0.127725 -0.114467 35/4 0 36 37/4 0 36 39/4 0/1 1 12 -0.102564 In -0.109966 -0.095162 41/4 0 36 43/4 0 36 45/4 4/5 1 4 -0.086591 In -0.138298 -0.034884 47/4 0 36 49/4 0 36 -49/5 0 36 -48/5 0 3 -47/5 0 36 -46/5 0 18 -44/5 0 9 -43/5 0 36 -42/5 2/1 2 6 0.119516 In 0.102484 0.136548 -41/5 0 36 -39/5 0/1 1 12 0.128205 In 0.120803 0.135607 -38/5 0 18 -37/5 0 36 -36/5 1/1 16 1 0.153125 In 0.025000 0.281250 -34/5 0 18 -33/5 2/1 1 12 0.151715 In 0.140313 0.163117 -32/5 0 9 -31/5 0 36 -29/5 0 36 -28/5 0 9 -27/5 2/1 1 4 0.186126 In 0.160714 0.211538 -26/5 0 18 -24/5 0 3 -23/5 0 36 -22/5 0 18 -21/5 2/1 1 12 0.238654 In 0.218346 0.258961 -19/5 0 36 -18/5 2/1 8 2 0.318182 In 0.136364 0.500000 -17/5 0 36 -16/5 0 9 -14/5 0 18 -13/5 0 36 -12/5 1/0 8 3 0.424528 In 0.366757 0.482299 -11/5 0 36 -9/5 0/1 1 4 0.555556 In 0.500000 0.611111 -8/5 0 9 -7/5 0 36 -6/5 0/1 2 6 0.833333 In 0.737108 0.929558 -4/5 0 9 -3/5 0/1 1 12 1.666667 In 1.570442 1.762892 -2/5 0 18 -1/5 0 36 1/5 0 36 2/5 0 18 3/5 2/1 1 12 -1.711538 In -1.944699 -1.478378 4/5 0 9 6/5 2/1 2 6 -0.846154 In -0.912771 -0.779537 7/5 0 36 8/5 0 9 9/5 2/1 1 4 -0.556250 In -0.562500 -0.550000 11/5 0 36 12/5 1/0 8 3 -0.424528 In -0.482299 -0.366757 13/5 0 36 14/5 0 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36 -40/7 0 9 -39/7 2/1 1 12 0.179636 In 0.169575 0.189697 -38/7 0 18 -37/7 0 36 -36/7 1/1 8 1 0.201863 In 0.107436 0.296291 -34/7 0 18 -33/7 4/3 1 12 0.213301 In 0.179594 0.247007 -32/7 0 9 -31/7 0 36 -30/7 2/1 2 6 0.234421 In 0.206153 0.262689 -29/7 0 36 -27/7 2/1 4 4 0.263448 In 0.206897 0.320000 -26/7 0 18 -25/7 0 36 -24/7 0 3 -23/7 0 36 -22/7 0 18 -20/7 0 9 -19/7 0 36 -18/7 2/1 4 2 0.411392 In 0.268181 0.554604 -17/7 0 36 -16/7 0 9 -15/7 6/1 1 12 0.475225 In 0.401106 0.549345 -13/7 0 36 -12/7 1/0 8 3 0.594340 In 0.513460 0.675219 -11/7 0 36 -10/7 0 18 -9/7 0/1 4 4 0.777778 In 0.666667 0.888889 -8/7 0 9 -6/7 2/1 2 6 1.230769 In 0.897683 1.563856 -5/7 0 36 -4/7 0 9 -3/7 2/1 1 12 2.442308 In 1.876060 3.008555 -2/7 0 18 -1/7 0 36 1/7 0 36 2/7 0 18 3/7 0/1 1 12 -2.333333 In -2.429558 -2.237108 4/7 0 9 5/7 0 36 6/7 0/1 2 6 -1.166667 In -1.262892 -1.070442 8/7 0 9 9/7 2/1 4 4 -0.792208 In -0.857143 -0.727273 10/7 0 18 11/7 0 36 12/7 1/0 8 3 -0.594340 In -0.675219 -0.513460 13/7 0 36 15/7 -4/1 1 12 -0.470939 In -0.526437 -0.415441 16/7 0 9 17/7 0 36 18/7 0/1 4 2 -0.388889 In -0.467456 -0.310321 19/7 0 36 20/7 0 9 22/7 0 18 23/7 0 36 24/7 0 3 25/7 0 36 26/7 0 18 27/7 0/1 4 4 -0.259259 In -0.296296 -0.222222 29/7 0 36 30/7 0/1 2 6 -0.233333 In -0.252578 -0.214088 31/7 0 36 32/7 0 9 33/7 2/3 1 12 -0.211727 In -0.234266 -0.189188 34/7 0 18 36/7 1/1 8 1 -0.189441 In -0.253125 -0.125757 37/7 0 36 38/7 0 18 39/7 0/1 1 12 -0.179487 In -0.186889 -0.172085 40/7 0 9 41/7 0 36 43/7 0 36 44/7 0 9 45/7 2/3 4 4 -0.152895 In -0.212766 -0.093023 46/7 0 18 47/7 0 36 48/7 0 3 50/7 0 18 -49/8 0 36 -47/8 0 36 -45/8 0/1 2 4 0.177778 In 0.162064 0.193491 -43/8 0 36 -41/8 0 36 -39/8 0/1 1 12 0.205128 In 0.197726 0.212530 -37/8 0 36 -35/8 0 36 -33/8 2/1 1 12 0.242652 In 0.229659 0.255645 -31/8 0 36 -29/8 0 36 -27/8 2/1 2 4 0.298487 In 0.256664 0.340310 -25/8 0 36 -23/8 0 36 -21/8 2/1 1 12 0.381619 In 0.357381 0.405857 -19/8 0 36 -17/8 0 36 -15/8 -4/1 1 12 0.535022 In 0.513081 0.556963 -13/8 0 36 -11/8 0 36 -9/8 0/1 2 4 0.888889 In 0.810321 0.967456 -7/8 0 36 -5/8 0 36 -3/8 0/1 1 12 2.666667 In 2.570442 2.762892 -1/8 0 36 1/8 0 36 3/8 2/1 1 12 -2.750000 In -3.183013 -2.316987 5/8 0 36 7/8 0 36 9/8 2/1 2 4 -0.898734 In -0.961389 -0.836079 11/8 0 36 13/8 0 36 15/8 6/1 1 12 -0.538288 In -0.581199 -0.495377 17/8 0 36 19/8 0 36 21/8 0/1 1 12 -0.380952 In -0.394699 -0.367206 23/8 0 36 25/8 0 36 27/8 0/1 2 4 -0.296296 In -0.322485 -0.270107 29/8 0 36 31/8 0 36 33/8 0/1 1 12 -0.242424 In -0.251172 -0.233677 35/8 0 36 37/8 0 36 39/8 2/1 1 12 -0.205064 In -0.209430 -0.200697 41/8 0 36 43/8 0 36 45/8 2/1 2 4 -0.177459 In -0.187596 -0.167323 47/8 0 36 49/8 0 36 -50/9 0 18 -49/9 0 36 -47/9 0 36 -46/9 0 18 -44/9 0 9 -43/9 0 36 -41/9 0 36 -40/9 0 9 -38/9 0 18 -37/9 0 36 -35/9 0 36 -34/9 0 18 -32/9 0 9 -31/9 0 36 -29/9 0 36 -28/9 0 9 -26/9 0 18 -25/9 0 36 -23/9 0 36 -22/9 0 18 -20/9 0 9 -19/9 0 36 -17/9 0 36 -16/9 0 9 -14/9 0 18 -13/9 0 36 -11/9 0 36 -10/9 0 18 -8/9 0 9 -7/9 0 36 -5/9 0 36 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23/10 0 36 27/10 2/1 2 4 -0.370014 In -0.376822 -0.363205 29/10 0 36 31/10 0 36 33/10 -2/1 1 12 -0.303276 In -0.317330 -0.289222 37/10 0 36 39/10 0/1 1 12 -0.256410 In -0.263812 -0.249008 41/10 0 36 43/10 0 36 47/10 0 36 49/10 0 36 -50/11 0 18 -49/11 0 36 -48/11 0 3 -47/11 0 36 -46/11 0 18 -45/11 2/1 4 4 0.245918 In 0.212766 0.279070 -43/11 0 36 -42/11 2/1 2 6 0.262481 In 0.241518 0.283444 -41/11 0 36 -40/11 0 9 -39/11 12/5 1 12 0.287608 In 0.225052 0.350164 -38/11 0 18 -37/11 0 36 -36/11 1/0 8 1 0.307453 In 0.283298 0.331609 -35/11 0 36 -34/11 0 18 -32/11 0 9 -31/11 0 36 -30/11 0/1 2 6 0.366667 In 0.347422 0.385912 -29/11 0 36 -28/11 0 9 -27/11 4/1 4 4 0.422160 In 0.322581 0.521739 -26/11 0 18 -25/11 0 36 -24/11 0 3 -23/11 0 36 -21/11 6/1 1 12 0.528539 In 0.471199 0.585878 -20/11 0 9 -19/11 0 36 -18/11 0/1 4 2 0.611111 In 0.532544 0.689679 -17/11 0 36 -16/11 0 9 -15/11 0/1 1 12 0.733333 In 0.714088 0.752578 -14/11 0 18 -13/11 0 36 -12/11 1/1 8 3 0.952830 In 0.687084 1.218577 -10/11 0 18 -9/11 2/1 4 4 1.311688 In 0.909091 1.714286 -8/11 0 9 -7/11 0 36 -6/11 0/1 2 6 1.833333 In 1.737108 1.929558 -5/11 0 36 -4/11 0 9 -3/11 0/1 1 12 3.666667 In 3.570442 3.762892 -2/11 0 18 -1/11 0 36 1/11 0 36 2/11 0 18 3/11 2/1 1 12 -3.788462 In -4.421326 -3.155597 4/11 0 9 5/11 0 36 6/11 2/1 2 6 -1.884615 In -2.151085 -1.618146 7/11 0 36 8/11 0 9 9/11 0/1 4 4 -1.222222 In -1.333333 -1.111111 10/11 0 18 12/11 1/1 8 3 -0.915094 In -0.926649 -0.903540 13/11 0 36 14/11 0 18 15/11 2/1 1 12 -0.733680 In -0.742674 -0.724685 16/11 0 9 17/11 0 36 18/11 2/1 4 2 -0.613924 In -0.631825 -0.596023 19/11 0 36 20/11 0 9 21/11 -4/1 1 12 -0.526156 In -0.568834 -0.483479 23/11 0 36 24/11 0 3 25/11 0 36 26/11 0 18 27/11 -2/1 4 4 -0.412414 In -0.480000 -0.344828 28/11 0 9 29/11 0 36 30/11 2/1 2 6 -0.366469 In -0.371608 -0.361329 31/11 0 36 32/11 0 9 34/11 0 18 35/11 0 36 36/11 1/0 8 1 -0.307453 In -0.331609 -0.283298 37/11 0 36 38/11 0 18 39/11 -2/5 1 12 -0.282661 In -0.323855 -0.241467 40/11 0 9 41/11 0 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