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 27 0.020000 In 0.016151 0.023849 -49/1 1/0 1 27 0.020408 In 0.020328 0.020489 -48/1 0/1 1 27 0.020833 In 0.016824 0.024843 -47/1 1/0 1 27 0.021277 In 0.021190 0.021364 -46/1 0/1 1 27 0.021739 In 0.017555 0.025923 -45/1 1/0 1 27 0.022223 In 0.022128 0.022318 -44/1 0/1 1 27 0.022727 In 0.018353 0.027101 -43/1 1/0 1 27 0.023256 In 0.023152 0.023360 -42/1 0/1 1 27 0.023810 In 0.019227 0.028392 -41/1 1/0 1 27 0.024391 In 0.024276 0.024505 -40/1 0/1 1 27 0.025000 In 0.020189 0.029811 -39/1 1/0 1 27 0.025642 In 0.025515 0.025768 -38/1 0/1 1 27 0.026316 In 0.021251 0.031380 -37/1 1/0 1 27 0.027028 In 0.026887 0.027168 -36/1 0/1 1 27 0.027778 In 0.022432 0.033124 -35/1 1/0 1 27 0.028572 In 0.028415 0.028729 -34/1 0/1 1 27 0.029412 In 0.023751 0.035072 -33/1 1/0 1 27 0.030304 In 0.030127 0.030481 -32/1 0/1 1 27 0.031250 In 0.025236 0.037264 -31/1 1/0 1 27 0.032259 In 0.032059 0.032460 -30/1 0/1 1 27 0.033333 In 0.026918 0.039748 -29/1 1/0 1 27 0.034484 In 0.034255 0.034713 -28/1 0/1 1 27 0.035714 In 0.028841 0.042588 -27/1 1/0 1 27 0.037039 In 0.036775 0.037303 -26/1 0/1 1 27 0.038462 In 0.031060 0.045863 -25/1 1/0 1 27 0.040002 In 0.039694 0.040310 -24/1 0/1 1 27 0.041667 In 0.033648 0.049685 -23/1 1/0 1 27 0.043481 In 0.043117 0.043845 -22/1 0/1 1 27 0.045455 In 0.036707 0.054202 -21/1 1/0 1 27 0.047623 In 0.047187 0.048059 -20/1 0/1 1 27 0.050000 In 0.040377 0.059623 -19/1 1/0 1 27 0.052637 In 0.052104 0.053170 -18/1 0/1 1 27 0.055556 In 0.044864 0.066247 -17/1 1/0 1 27 0.058831 In 0.058165 0.059497 -16/1 0/1 1 27 0.062500 In 0.050472 0.074528 -15/1 1/0 1 27 0.066678 In 0.065822 0.067533 -14/1 0/1 1 27 0.071429 In 0.057682 0.085175 -13/1 1/0 1 27 0.076940 In 0.075801 0.078079 -12/1 0/1 1 27 0.083333 In 0.067296 0.099371 -11/1 1/0 1 27 0.090937 In 0.089346 0.092528 -10/1 0/1 1 27 0.100000 In 0.080755 0.119245 -9/1 1/0 1 27 0.111162 In 0.108785 0.113539 -8/1 0/1 1 27 0.125000 In 0.100944 0.149056 -7/1 1/0 1 27 0.142965 In 0.139035 0.146896 -6/1 0/1 1 27 0.166667 In 0.134592 0.198742 -5/1 1/0 1 27 0.200297 In 0.192587 0.208006 -4/1 0/1 1 27 0.250000 In 0.201887 0.298113 -3/1 1/0 1 27 0.334711 In 0.313239 0.356182 -2/1 0/1 1 27 0.500000 In 0.403775 0.596225 -1/1 1/0 1 27 1.038462 In 0.838610 1.238314 0/1 0/1 1 27 1/1 1/0 1 27 -1.038462 In -1.238314 -0.838610 2/1 0/1 1 27 -0.500000 In -0.596225 -0.403775 3/1 1/0 1 27 -0.334711 In -0.356182 -0.313239 4/1 0/1 1 27 -0.250000 In -0.298113 -0.201887 5/1 1/0 1 27 -0.200297 In -0.208006 -0.192587 6/1 0/1 1 27 -0.166667 In -0.198742 -0.134592 7/1 1/0 1 27 -0.142965 In -0.146896 -0.139035 8/1 0/1 1 27 -0.125000 In -0.149056 -0.100944 9/1 1/0 1 27 -0.111162 In -0.113539 -0.108785 10/1 0/1 1 27 -0.100000 In -0.119245 -0.080755 11/1 1/0 1 27 -0.090937 In -0.092528 -0.089346 12/1 0/1 1 27 -0.083333 In -0.099371 -0.067296 13/1 1/0 1 27 -0.076940 In -0.078079 -0.075801 14/1 0/1 1 27 -0.071429 In -0.085175 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36/1 0/1 1 27 -0.027778 In -0.033124 -0.022432 37/1 1/0 1 27 -0.027028 In -0.027168 -0.026887 38/1 0/1 1 27 -0.026316 In -0.031380 -0.021251 39/1 1/0 1 27 -0.025642 In -0.025768 -0.025515 40/1 0/1 1 27 -0.025000 In -0.029811 -0.020189 41/1 1/0 1 27 -0.024391 In -0.024505 -0.024276 42/1 0/1 1 27 -0.023810 In -0.028392 -0.019227 43/1 1/0 1 27 -0.023256 In -0.023360 -0.023152 44/1 0/1 1 27 -0.022727 In -0.027101 -0.018353 45/1 1/0 1 27 -0.022223 In -0.022318 -0.022128 46/1 0/1 1 27 -0.021739 In -0.025923 -0.017555 47/1 1/0 1 27 -0.021277 In -0.021364 -0.021190 48/1 0/1 1 27 -0.020833 In -0.024843 -0.016824 49/1 1/0 1 27 -0.020408 In -0.020489 -0.020328 50/1 0/1 1 27 -0.020000 In -0.023849 -0.016151 -49/2 -1/1 1 27 0.040802 In 0.037034 0.044569 -47/2 1/1 1 27 0.042571 In 0.038302 0.046840 -45/2 -1/1 1 27 0.044427 In 0.040340 0.048514 -43/2 1/1 1 27 0.046533 In 0.041849 0.051216 -41/2 -1/1 1 27 0.048760 In 0.044294 0.053225 -39/2 1/1 1 27 0.051308 In 0.046120 0.056495 -37/2 -1/1 1 27 0.054028 In 0.049108 0.058949 -35/2 1/1 1 27 0.057175 In 0.051362 0.062988 -33/2 -1/1 1 27 0.060574 In 0.055096 0.066053 -31/2 1/1 1 27 0.064557 In 0.057948 0.071166 -29/2 -1/1 1 27 0.068925 In 0.062746 0.075103 -27/2 1/1 1 27 0.074129 In 0.066472 0.081785 -25/2 -1/1 1 27 0.079945 In 0.072863 0.087028 -23/2 1/1 1 27 0.087033 In 0.077937 0.096128 -21/2 -1/1 1 27 0.095162 In 0.086870 0.103454 -19/2 1/1 1 27 0.105377 In 0.094180 0.116573 -17/2 -1/1 1 27 0.117534 In 0.107544 0.127524 -15/2 1/1 1 27 0.133520 In 0.118977 0.148063 -13/2 -1/1 1 27 0.153661 In 0.141132 0.166190 -11/2 1/1 1 27 0.182180 In 0.161497 0.202863 -9/2 -1/1 1 27 0.221866 In 0.205227 0.238506 -7/2 1/1 1 27 0.286687 In 0.251312 0.322062 -5/2 -1/1 1 27 0.399110 In 0.375982 0.422238 -3/2 1/1 1 27 0.673554 In 0.566195 0.780912 -1/2 -1/1 1 27 2.038462 In 1.838610 2.238314 1/2 1/1 1 27 -2.038462 In -2.238314 -1.838610 3/2 -1/1 1 27 -0.673554 In -0.780912 -0.566195 5/2 1/1 1 27 -0.399110 In -0.422238 -0.375982 7/2 -1/1 1 27 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-0.040802 In -0.044569 -0.037034 -50/3 0 9 -49/3 0 9 -47/3 0 9 -46/3 0 9 -44/3 0 9 -43/3 0 9 -41/3 0 9 -40/3 0 9 -38/3 0 9 -37/3 0 9 -35/3 0 9 -34/3 0 9 -32/3 0 9 -31/3 0 9 -29/3 0 9 -28/3 0 9 -26/3 0 9 -25/3 0 9 -23/3 0 9 -22/3 0 9 -20/3 0 9 -19/3 0 9 -17/3 0 9 -16/3 0 9 -14/3 0 9 -13/3 0 9 -11/3 0 9 -10/3 0 9 -8/3 0 9 -7/3 0 9 -5/3 0 9 -4/3 0 9 -2/3 0 9 -1/3 0 9 1/3 0 9 2/3 0 9 4/3 0 9 5/3 0 9 7/3 0 9 8/3 0 9 10/3 0 9 11/3 0 9 13/3 0 9 14/3 0 9 16/3 0 9 17/3 0 9 19/3 0 9 20/3 0 9 22/3 0 9 23/3 0 9 25/3 0 9 26/3 0 9 28/3 0 9 29/3 0 9 31/3 0 9 32/3 0 9 34/3 0 9 35/3 0 9 37/3 0 9 38/3 0 9 40/3 0 9 41/3 0 9 43/3 0 9 44/3 0 9 46/3 0 9 47/3 0 9 49/3 0 9 50/3 0 9 -49/4 1/1 1 27 0.081649 In 0.077401 0.085898 -47/4 -1/1 1 27 0.085091 In 0.081345 0.088837 -45/4 -1/1 1 27 0.088872 In 0.084976 0.092769 -43/4 1/1 1 27 0.093045 In 0.088153 0.097937 -41/4 1/1 1 27 0.097585 In 0.092433 0.102737 -39/4 -1/1 1 27 0.102542 In 0.098114 0.106971 -37/4 -1/1 1 27 0.108084 In 0.103445 0.112723 -35/4 1/1 1 27 0.114319 In 0.108192 0.120447 -33/4 1/1 1 27 0.121250 In 0.114711 0.127789 -31/4 -1/1 1 27 0.128999 In 0.123591 0.134406 -29/4 -1/1 1 27 0.137893 In 0.132172 0.143614 -27/4 1/1 1 27 0.148206 In 0.140022 0.156391 -25/4 1/1 1 27 0.160069 In 0.151139 0.168999 -23/4 -1/1 1 27 0.173855 In 0.166943 0.180768 -21/4 -1/1 1 27 0.190408 In 0.182989 0.197828 -19/4 1/1 1 27 0.210651 In 0.198388 0.222913 -17/4 1/1 1 27 0.235452 In 0.221466 0.249439 -15/4 -1/1 1 27 0.266546 In 0.257136 0.275956 -13/4 -1/1 1 27 0.307541 In 0.297289 0.317792 -11/4 1/1 1 27 0.364054 In 0.340189 0.387919 -9/4 1/1 1 27 0.445105 In 0.414204 0.476006 -7/4 -1/1 1 27 0.571104 In 0.559313 0.582896 -5/4 -1/1 1 27 0.799703 In 0.791994 0.807413 -3/4 1/1 1 27 1.342975 In 1.192673 1.493277 -1/4 1/1 1 27 4.192308 In 3.193048 5.191568 1/4 -1/1 1 27 -4.192308 In -5.191568 -3.193048 3/4 -1/1 1 27 -1.342975 In -1.493277 -1.192673 5/4 1/1 1 27 -0.799703 In -0.807413 -0.791994 7/4 1/1 1 27 -0.571104 In -0.582896 -0.559313 9/4 -1/1 1 27 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0.102073 In 0.093817 0.110329 -48/5 2/3 1 27 0.104270 In 0.091406 0.117134 -47/5 3/2 1 27 0.106500 In 0.097002 0.115997 -46/5 2/1 1 27 0.108738 In 0.103645 0.113832 -44/5 -2/1 1 27 0.113607 In 0.110227 0.116987 -43/5 -3/2 1 27 0.116180 In 0.108789 0.123571 -42/5 -2/3 1 27 0.118932 In 0.106275 0.131588 -41/5 -1/2 1 27 0.121910 In 0.113094 0.130725 -39/5 1/2 1 27 0.128257 In 0.117755 0.138759 -38/5 2/3 1 27 0.131746 In 0.115218 0.148274 -37/5 3/2 1 27 0.135330 In 0.122816 0.147845 -36/5 2/1 1 27 0.138962 In 0.132130 0.145794 -34/5 -2/1 1 27 0.147014 In 0.143018 0.151010 -33/5 -3/2 1 27 0.151357 In 0.142342 0.160373 -32/5 -2/3 1 27 0.156056 In 0.139890 0.172221 -31/5 -1/2 1 27 0.161219 In 0.149804 0.172635 -29/5 1/2 1 27 0.172509 In 0.158092 0.186927 -28/5 2/3 1 27 0.178889 In 0.155810 0.201967 -27/5 3/2 1 27 0.185575 In 0.167351 0.203799 -26/5 2/1 1 27 0.192459 In 0.182208 0.202711 -24/5 -2/1 1 27 0.208258 In 0.203579 0.212937 -23/5 -3/2 1 27 0.217108 In 0.205823 0.228393 -22/5 -2/3 1 27 0.226883 In 0.204609 0.249157 -21/5 -1/2 1 27 0.237947 In 0.221799 0.254095 -19/5 1/2 1 27 0.263390 In 0.240464 0.286316 -18/5 2/3 1 27 0.278591 In 0.240559 0.316623 -17/5 3/2 1 27 0.295227 In 0.262559 0.327895 -16/5 2/1 1 27 0.312970 In 0.293413 0.332527 -14/5 -2/1 1 27 0.357035 In 0.353104 0.360965 -13/5 -3/2 1 27 0.384058 In 0.371507 0.396609 -12/5 -2/3 1 27 0.415551 In 0.380767 0.450335 -11/5 -1/2 1 27 0.454072 In 0.427026 0.481119 -9/5 1/2 1 27 0.556725 In 0.502053 0.611396 -8/5 2/3 1 27 0.629930 In 0.527454 0.732407 -7/5 3/2 1 27 0.723744 In 0.609065 0.838423 -6/5 2/1 1 27 0.838843 In 0.752956 0.924730 -4/5 -2/1 1 27 1.257009 In 1.184166 1.329853 -3/5 -3/2 1 27 1.705128 In 1.505276 1.904980 -2/5 -2/3 1 27 2.538462 In 2.338610 2.738314 -1/5 -1/2 1 27 5.115385 In 4.515829 5.714941 1/5 1/2 1 27 -5.115385 In -5.714941 -4.515829 2/5 2/3 1 27 -2.538462 In -2.738314 -2.338610 3/5 3/2 1 27 -1.705128 In -1.904980 -1.505276 4/5 2/1 1 27 -1.257009 In -1.329853 -1.184166 6/5 -2/1 1 27 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