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 12 0.020000 In 0.014226 0.025774 -49/1 1/0 1 12 0.020409 In 0.020289 0.020529 -48/1 0/1 1 12 0.020833 In 0.014819 0.026847 -47/1 1/0 1 12 0.021277 In 0.021147 0.021408 -46/1 0/1 1 12 0.021739 In 0.015464 0.028015 -45/1 1/0 1 12 0.022223 In 0.022081 0.022366 -44/1 0/1 1 12 0.022727 In 0.016166 0.029288 -43/1 1/0 1 12 0.023257 In 0.023101 0.023413 -42/1 0/1 1 12 0.023810 In 0.016936 0.030683 -41/1 1/0 1 12 0.024391 In 0.024220 0.024563 -40/1 0/1 1 12 0.025000 In 0.017783 0.032217 -39/1 1/0 1 12 0.025642 In 0.025453 0.025832 -38/1 0/1 1 12 0.026316 In 0.018719 0.033913 -37/1 1/0 1 12 0.027029 In 0.026818 0.027240 -36/1 0/1 1 12 0.027778 In 0.019759 0.035797 -35/1 1/0 1 12 0.028573 In 0.028338 0.028809 -34/1 0/1 1 12 0.029412 In 0.020921 0.037902 -33/1 1/0 1 12 0.030305 In 0.030040 0.030570 -32/1 0/1 1 12 0.031250 In 0.022229 0.040271 -31/1 1/0 1 12 0.032261 In 0.031960 0.032561 -30/1 0/1 1 12 0.033333 In 0.023711 0.042956 -29/1 1/0 1 12 0.034486 In 0.034143 0.034829 -28/1 0/1 1 12 0.035714 In 0.025404 0.046024 -27/1 1/0 1 12 0.037041 In 0.036645 0.037437 -26/1 0/1 1 12 0.038462 In 0.027359 0.049564 -25/1 1/0 1 12 0.040005 In 0.039543 0.040467 -24/1 0/1 1 12 0.041667 In 0.029639 0.053695 -23/1 1/0 1 12 0.043485 In 0.042939 0.044031 -22/1 0/1 1 12 0.045455 In 0.032333 0.058576 -21/1 1/0 1 12 0.047628 In 0.046973 0.048283 -20/1 0/1 1 12 0.050000 In 0.035566 0.064434 -19/1 1/0 1 12 0.052644 In 0.051844 0.053444 -18/1 0/1 1 12 0.055556 In 0.039518 0.071593 -17/1 1/0 1 12 0.058840 In 0.057841 0.059840 -16/1 0/1 1 12 0.062500 In 0.044458 0.080542 -15/1 1/0 1 12 0.066691 In 0.065408 0.067975 -14/1 0/1 1 12 0.071429 In 0.050809 0.092048 -13/1 1/0 1 12 0.076961 In 0.075252 0.078670 -12/1 0/1 1 12 0.083333 In 0.059277 0.107390 -11/1 1/0 1 12 0.090972 In 0.088584 0.093359 -10/1 0/1 1 12 0.100000 In 0.071132 0.128868 -9/1 1/0 1 12 0.111226 In 0.107658 0.114793 -8/1 0/1 1 12 0.125000 In 0.088916 0.161084 -7/1 1/0 1 12 0.143101 In 0.137199 0.149002 -6/1 0/1 1 12 0.166667 In 0.118554 0.214779 -5/1 1/0 1 12 0.200669 In 0.189083 0.212255 -4/1 0/1 1 12 0.250000 In 0.177831 0.322169 -3/1 1/0 1 12 0.336449 In 0.304074 0.368823 -2/1 0/1 1 12 0.500000 In 0.355662 0.644338 -1/1 1/0 1 12 1.090909 In 0.775991 1.405827 0/1 0/1 1 12 1/1 1/0 1 12 -1.090909 In -1.405827 -0.775991 2/1 0/1 1 12 -0.500000 In -0.644338 -0.355662 3/1 1/0 1 12 -0.336449 In -0.368823 -0.304074 4/1 0/1 1 12 -0.250000 In -0.322169 -0.177831 5/1 1/0 1 12 -0.200669 In -0.212255 -0.189083 6/1 0/1 1 12 -0.166667 In -0.214779 -0.118554 7/1 1/0 1 12 -0.143101 In -0.149002 -0.137199 8/1 0/1 1 12 -0.125000 In -0.161084 -0.088916 9/1 1/0 1 12 -0.111226 In -0.114793 -0.107658 10/1 0/1 1 12 -0.100000 In -0.128868 -0.071132 11/1 1/0 1 12 -0.090972 In -0.093359 -0.088584 12/1 0/1 1 12 -0.083333 In -0.107390 -0.059277 13/1 1/0 1 12 -0.076961 In -0.078670 -0.075252 14/1 0/1 1 12 -0.071429 In -0.092048 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36/1 0/1 1 12 -0.027778 In -0.035797 -0.019759 37/1 1/0 1 12 -0.027029 In -0.027240 -0.026818 38/1 0/1 1 12 -0.026316 In -0.033913 -0.018719 39/1 1/0 1 12 -0.025642 In -0.025832 -0.025453 40/1 0/1 1 12 -0.025000 In -0.032217 -0.017783 41/1 1/0 1 12 -0.024391 In -0.024563 -0.024220 42/1 0/1 1 12 -0.023810 In -0.030683 -0.016936 43/1 1/0 1 12 -0.023257 In -0.023413 -0.023101 44/1 0/1 1 12 -0.022727 In -0.029288 -0.016166 45/1 1/0 1 12 -0.022223 In -0.022366 -0.022081 46/1 0/1 1 12 -0.021739 In -0.028015 -0.015464 47/1 1/0 1 12 -0.021277 In -0.021408 -0.021147 48/1 0/1 1 12 -0.020833 In -0.026847 -0.014819 49/1 1/0 1 12 -0.020409 In -0.020529 -0.020289 50/1 0/1 1 12 -0.020000 In -0.025774 -0.014226 -49/2 0 6 -47/2 0 6 -45/2 0 6 -43/2 0 6 -41/2 0 6 -39/2 0 6 -37/2 0 6 -35/2 0 6 -33/2 0 6 -31/2 0 6 -29/2 0 6 -27/2 0 6 -25/2 0 6 -23/2 0 6 -21/2 0 6 -19/2 0 6 -17/2 0 6 -15/2 0 6 -13/2 0 6 -11/2 0 6 -9/2 0 6 -7/2 0 6 -5/2 0 6 -3/2 0 6 -1/2 0 6 1/2 0 6 3/2 0 6 5/2 0 6 7/2 0 6 9/2 0 6 11/2 0 6 13/2 0 6 15/2 0 6 17/2 0 6 19/2 0 6 21/2 0 6 23/2 0 6 25/2 0 6 27/2 0 6 29/2 0 6 31/2 0 6 33/2 0 6 35/2 0 6 37/2 0 6 39/2 0 6 41/2 0 6 43/2 0 6 45/2 0 6 47/2 0 6 49/2 0 6 -50/3 0/1 1 4 0.060000 In 0.050000 0.070000 -49/3 1/0 1 4 0.061231 In 0.060606 0.061856 -47/3 1/0 1 4 0.063837 In 0.063158 0.064516 -46/3 0/1 1 4 0.065217 In 0.054348 0.076087 -44/3 0/1 1 4 0.068182 In 0.056818 0.079545 -43/3 1/0 1 4 0.069777 In 0.068966 0.070588 -41/3 1/0 1 4 0.073182 In 0.072289 0.074074 -40/3 0/1 1 4 0.075000 In 0.062500 0.087500 -38/3 0/1 1 4 0.078947 In 0.065789 0.092105 -37/3 1/0 1 4 0.081096 In 0.080000 0.082192 -35/3 1/0 1 4 0.085732 In 0.084507 0.086957 -34/3 0/1 1 4 0.088235 In 0.073529 0.102941 -32/3 0/1 1 4 0.093750 In 0.078125 0.109375 -31/3 1/0 1 4 0.096799 In 0.095238 0.098361 -29/3 1/0 1 4 0.103479 In 0.101695 0.105263 -28/3 0/1 1 4 0.107143 In 0.089286 0.125000 -26/3 0/1 1 4 0.115385 In 0.096154 0.134615 -25/3 1/0 1 4 0.120048 In 0.117647 0.122449 -23/3 1/0 1 4 0.130496 In 0.127660 0.133333 -22/3 0/1 1 4 0.136364 In 0.113636 0.159091 -20/3 0/1 1 4 0.150000 In 0.125000 0.175000 -19/3 1/0 1 4 0.158004 In 0.153846 0.162162 -17/3 1/0 1 4 0.176623 In 0.171429 0.181818 -16/3 0/1 1 4 0.187500 In 0.156250 0.218750 -14/3 0/1 1 4 0.214286 In 0.178571 0.250000 -13/3 1/0 1 4 0.231111 In 0.222222 0.240000 -11/3 1/0 1 4 0.273292 In 0.260870 0.285714 -10/3 0/1 1 4 0.300000 In 0.250000 0.350000 -8/3 0/1 1 4 0.375000 In 0.312500 0.437500 -7/3 1/0 1 4 0.430769 In 0.400000 0.461538 -5/3 1/0 1 4 0.606061 In 0.545455 0.666667 -4/3 0/1 1 4 0.750000 In 0.625000 0.875000 -2/3 0/1 1 4 1.500000 In 1.250000 1.750000 -1/3 1/0 1 4 4.000000 In 2.000000 6.000000 1/3 1/0 1 4 -4.000000 In -6.000000 -2.000000 2/3 0/1 1 4 -1.500000 In -1.750000 -1.250000 4/3 0/1 1 4 -0.750000 In -0.875000 -0.625000 5/3 1/0 1 4 -0.606061 In -0.666667 -0.545455 7/3 1/0 1 4 -0.430769 In -0.461538 -0.400000 8/3 0/1 1 4 -0.375000 In -0.437500 -0.312500 10/3 0/1 1 4 -0.300000 In -0.350000 -0.250000 11/3 1/0 1 4 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44/3 0/1 1 4 -0.068182 In -0.079545 -0.056818 46/3 0/1 1 4 -0.065217 In -0.076087 -0.054348 47/3 1/0 1 4 -0.063837 In -0.064516 -0.063158 49/3 1/0 1 4 -0.061231 In -0.061856 -0.060606 50/3 0/1 1 4 -0.060000 In -0.070000 -0.050000 -49/4 0 3 -47/4 0 3 -45/4 0 3 -43/4 0 3 -41/4 0 3 -39/4 0 3 -37/4 0 3 -35/4 0 3 -33/4 0 3 -31/4 0 3 -29/4 0 3 -27/4 0 3 -25/4 0 3 -23/4 0 3 -21/4 0 3 -19/4 0 3 -17/4 0 3 -15/4 0 3 -13/4 0 3 -11/4 0 3 -9/4 0 3 -7/4 0 3 -5/4 0 3 -3/4 0 3 -1/4 0 3 1/4 0 3 3/4 0 3 5/4 0 3 7/4 0 3 9/4 0 3 11/4 0 3 13/4 0 3 15/4 0 3 17/4 0 3 19/4 0 3 21/4 0 3 23/4 0 3 25/4 0 3 27/4 0 3 29/4 0 3 31/4 0 3 33/4 0 3 35/4 0 3 37/4 0 3 39/4 0 3 41/4 0 3 43/4 0 3 45/4 0 3 47/4 0 3 49/4 0 3 -49/5 1/0 1 12 0.102044 In 0.101443 0.102646 -48/5 0/1 1 12 0.104167 In 0.098153 0.110181 -47/5 1/0 1 12 0.106387 In 0.105734 0.107040 -46/5 0/1 1 12 0.108696 In 0.102420 0.114971 -44/5 0/1 1 12 0.113636 In 0.107076 0.120197 -43/5 1/0 1 12 0.116284 In 0.115504 0.117065 -42/5 0/1 1 12 0.119048 In 0.112174 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