SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 1/0 1 1 -50/1 0 21 -49/1 -49/1 1 21 -48/1 0 21 -47/1 -47/1 1 21 -46/1 0 21 -45/1 -45/1 1 21 -44/1 0 21 -43/1 -43/1 1 21 -42/1 0 21 -41/1 -41/1 1 21 -40/1 0 21 -39/1 -39/1 1 21 -38/1 0 21 -37/1 -37/1 1 21 -36/1 0 21 -35/1 -35/1 1 21 -34/1 0 21 -33/1 -33/1 1 21 -32/1 0 21 -31/1 -31/1 1 21 -30/1 0 21 -29/1 -29/1 1 21 -28/1 0 21 -27/1 -27/1 1 21 -26/1 0 21 -25/1 -25/1 1 21 -24/1 0 21 -23/1 -23/1 1 21 -22/1 0 21 -21/1 -21/1 1 21 -20/1 0 21 -19/1 -19/1 1 21 -18/1 0 21 -17/1 -17/1 1 21 -16/1 0 21 -15/1 -15/1 1 21 -14/1 0 21 -13/1 -13/1 1 21 -12/1 0 21 -11/1 -11/1 1 21 -10/1 0 21 -9/1 -9/1 1 21 -8/1 0 21 -7/1 -7/1 1 21 -6/1 0 21 -5/1 -5/1 1 21 -4/1 0 21 -3/1 -3/1 1 21 -2/1 0 21 -1/1 -1/1 1 21 0/1 0 21 1/1 1/1 1 21 2/1 0 21 3/1 3/1 1 21 4/1 0 21 5/1 5/1 1 21 6/1 0 21 7/1 7/1 1 21 8/1 0 21 9/1 9/1 1 21 10/1 0 21 11/1 11/1 1 21 12/1 0 21 13/1 13/1 1 21 14/1 0 21 15/1 15/1 1 21 16/1 0 21 17/1 17/1 1 21 18/1 0 21 19/1 19/1 1 21 20/1 0 21 21/1 21/1 1 21 22/1 0 21 23/1 23/1 1 21 24/1 0 21 25/1 25/1 1 21 26/1 0 21 27/1 27/1 1 21 28/1 0 21 29/1 29/1 1 21 30/1 0 21 31/1 31/1 1 21 32/1 0 21 33/1 33/1 1 21 34/1 0 21 35/1 35/1 1 21 36/1 0 21 37/1 37/1 1 21 38/1 0 21 39/1 39/1 1 21 40/1 0 21 41/1 41/1 1 21 42/1 0 21 43/1 43/1 1 21 44/1 0 21 45/1 45/1 1 21 46/1 0 21 47/1 47/1 1 21 48/1 0 21 49/1 49/1 1 21 50/1 0 21 -49/2 -25/1 1 21 0.040827 In 0.040735 0.040919 -47/2 -23/1 1 21 0.042543 In 0.042443 0.042642 -45/2 -23/1 1 21 0.044457 In 0.044347 0.044566 -43/2 -21/1 1 21 0.046499 In 0.046380 0.046618 -41/2 -21/1 1 21 0.048795 In 0.048664 0.048927 -39/2 -19/1 1 21 0.051267 In 0.051122 0.051412 -37/2 -19/1 1 21 0.054072 In 0.053911 0.054234 -35/2 -17/1 1 21 0.057124 In 0.056944 0.057304 -33/2 -17/1 1 21 0.060629 In 0.060426 0.060832 -31/2 -15/1 1 21 0.064492 In 0.064262 0.064722 -29/2 -15/1 1 21 0.068995 In 0.068732 0.069258 -27/2 -13/1 1 21 0.074042 In 0.073740 0.074345 -25/2 -13/1 1 21 0.080040 In 0.079686 0.080394 -23/2 -11/1 1 21 0.086913 In 0.086496 0.087330 -21/2 -11/1 1 21 0.095295 In 0.094794 0.095797 -19/2 -9/1 1 21 0.105200 In 0.104589 0.105811 -17/2 -9/1 1 21 0.117735 In 0.116970 0.118501 -15/2 -7/1 1 21 0.133234 In 0.132254 0.134214 -13/2 -7/1 1 21 0.154000 In 0.152691 0.155309 -11/2 -5/1 1 21 0.181638 In 0.179816 0.183459 -9/2 -5/1 1 21 0.222554 In 0.219819 0.225288 -7/2 -3/1 1 21 0.285294 In 0.280801 0.289787 -5/2 -3/1 1 21 0.401163 In 0.392282 0.410044 -3/2 -1/1 1 21 0.664894 In 0.640518 0.689269 -1/2 -1/1 1 21 2.050000 In 1.820871 2.279129 1/2 1/1 1 21 -2.050000 In -2.279129 -1.820871 3/2 1/1 1 21 -0.664894 In -0.689269 -0.640518 5/2 3/1 1 21 -0.401163 In -0.410044 -0.392282 7/2 3/1 1 21 -0.285294 In -0.289787 -0.280801 9/2 5/1 1 21 -0.222554 In -0.225288 -0.219819 11/2 5/1 1 21 -0.181638 In -0.183459 -0.179816 13/2 7/1 1 21 -0.154000 In -0.155309 -0.152691 15/2 7/1 1 21 -0.133234 In -0.134214 -0.132254 17/2 9/1 1 21 -0.117735 In -0.118501 -0.116970 19/2 9/1 1 21 -0.105200 In -0.105811 -0.104589 21/2 11/1 1 21 -0.095295 In -0.095797 -0.094794 23/2 11/1 1 21 -0.086913 In -0.087330 -0.086496 25/2 13/1 1 21 -0.080040 In -0.080394 -0.079686 27/2 13/1 1 21 -0.074042 In -0.074345 -0.073740 29/2 15/1 1 21 -0.068995 In -0.069258 -0.068732 31/2 15/1 1 21 -0.064492 In -0.064722 -0.064262 33/2 17/1 1 21 -0.060629 In -0.060832 -0.060426 35/2 17/1 1 21 -0.057124 In -0.057304 -0.056944 37/2 19/1 1 21 -0.054072 In -0.054234 -0.053911 39/2 19/1 1 21 -0.051267 In -0.051412 -0.051122 41/2 21/1 1 21 -0.048795 In -0.048927 -0.048664 43/2 21/1 1 21 -0.046499 In -0.046618 -0.046380 45/2 23/1 1 21 -0.044457 In -0.044566 -0.044347 47/2 23/1 1 21 -0.042543 In -0.042642 -0.042443 49/2 25/1 1 21 -0.040827 In -0.040919 -0.040735 -50/3 0 7 -49/3 0 7 -47/3 0 7 -46/3 0 7 -44/3 0 7 -43/3 0 7 -41/3 0 7 -40/3 0 7 -38/3 0 7 -37/3 0 7 -35/3 0 7 -34/3 0 7 -32/3 0 7 -31/3 0 7 -29/3 0 7 -28/3 0 7 -26/3 0 7 -25/3 0 7 -23/3 0 7 -22/3 0 7 -20/3 0 7 -19/3 0 7 -17/3 0 7 -16/3 0 7 -14/3 0 7 -13/3 0 7 -11/3 0 7 -10/3 0 7 -8/3 0 7 -7/3 0 7 -5/3 0 7 -4/3 0 7 -2/3 0 7 -1/3 0 7 1/3 0 7 2/3 0 7 4/3 0 7 5/3 0 7 7/3 0 7 8/3 0 7 10/3 0 7 11/3 0 7 13/3 0 7 14/3 0 7 16/3 0 7 17/3 0 7 19/3 0 7 20/3 0 7 22/3 0 7 23/3 0 7 25/3 0 7 26/3 0 7 28/3 0 7 29/3 0 7 31/3 0 7 32/3 0 7 34/3 0 7 35/3 0 7 37/3 0 7 38/3 0 7 40/3 0 7 41/3 0 7 43/3 0 7 44/3 0 7 46/3 0 7 47/3 0 7 49/3 0 7 50/3 0 7 -49/4 -11/1 1 21 0.081610 In 0.081155 0.082066 -47/4 -13/1 1 21 0.085136 In 0.084641 0.085632 -45/4 -13/1 1 21 0.088937 In 0.088179 0.089694 -43/4 -9/1 1 21 0.092985 In 0.092158 0.093813 -41/4 -9/1 1 21 0.097530 In 0.096879 0.098180 -39/4 -11/1 1 21 0.102608 In 0.101888 0.103329 -37/4 -11/1 1 21 0.108181 In 0.107060 0.109301 -35/4 -7/1 1 21 0.114231 In 0.112982 0.115481 -33/4 -7/1 1 21 0.121166 In 0.120162 0.122170 -31/4 -9/1 1 21 0.129104 In 0.127965 0.130244 -29/4 -9/1 1 21 0.138055 In 0.136230 0.139879 -27/4 -5/1 1 21 0.148063 In 0.145965 0.150162 -25/4 -5/1 1 21 0.159924 In 0.158175 0.161673 -23/4 -7/1 1 21 0.174051 In 0.171979 0.176122 -21/4 -7/1 1 21 0.190729 In 0.187247 0.194212 -19/4 -3/1 1 21 0.210380 In 0.206144 0.214617 -17/4 -3/1 1 21 0.235149 In 0.231368 0.238930 -15/4 -5/1 1 21 0.267021 In 0.262146 0.271896 -13/4 -5/1 1 21 0.308456 In 0.299354 0.317559 -11/4 -1/1 1 21 0.363386 In 0.350757 0.376015 -9/4 -1/1 1 21 0.444118 In 0.430639 0.457596 -7/4 -3/1 1 21 0.573529 In 0.551066 0.595993 -5/4 -3/1 1 21 0.808140 In 0.745973 0.870306 -3/4 1/1 1 21 1.345745 In 1.175117 1.516372 -1/4 1/1 1 21 4.250000 In 3.104356 5.395644 1/4 -1/1 1 21 -4.250000 In -5.395644 -3.104356 3/4 -1/1 1 21 -1.345745 In -1.516372 -1.175117 5/4 3/1 1 21 -0.808140 In -0.870306 -0.745973 7/4 3/1 1 21 -0.573529 In -0.595993 -0.551066 9/4 1/1 1 21 -0.444118 In -0.457596 -0.430639 11/4 1/1 1 21 -0.363386 In -0.376015 -0.350757 13/4 5/1 1 21 -0.308456 In -0.317559 -0.299354 15/4 5/1 1 21 -0.267021 In -0.271896 -0.262146 17/4 3/1 1 21 -0.235149 In -0.238930 -0.231368 19/4 3/1 1 21 -0.210380 In -0.214617 -0.206144 21/4 7/1 1 21 -0.190729 In -0.194212 -0.187247 23/4 7/1 1 21 -0.174051 In -0.176122 -0.171979 25/4 5/1 1 21 -0.159924 In -0.161673 -0.158175 27/4 5/1 1 21 -0.148063 In -0.150162 -0.145965 29/4 9/1 1 21 -0.138055 In -0.139879 -0.136230 31/4 9/1 1 21 -0.129104 In -0.130244 -0.127965 33/4 7/1 1 21 -0.121166 In -0.122170 -0.120162 35/4 7/1 1 21 -0.114231 In -0.115481 -0.112982 37/4 11/1 1 21 -0.108181 In -0.109301 -0.107060 39/4 11/1 1 21 -0.102608 In -0.103329 -0.101888 41/4 9/1 1 21 -0.097530 In -0.098180 -0.096879 43/4 9/1 1 21 -0.092985 In -0.093813 -0.092158 45/4 13/1 1 21 -0.088937 In -0.089694 -0.088179 47/4 13/1 1 21 -0.085136 In -0.085632 -0.084641 49/4 11/1 1 21 -0.081610 In -0.082066 -0.081155 -49/5 -9/1 1 21 0.102026 In 0.101662 0.102390 -48/5 0 21 -47/5 -9/1 1 21 0.106375 In 0.106177 0.106573 -46/5 0 21 -44/5 0 21 -43/5 -9/1 1 21 0.116290 In 0.116053 0.116526 -42/5 0 21 -41/5 -9/1 1 21 0.121976 In 0.121456 0.122497 -39/5 -7/1 1 21 0.128183 In 0.127608 0.128757 -38/5 0 21 -37/5 -7/1 1 21 0.135122 In 0.134803 0.135441 -36/5 0 21 -34/5 0 21 -33/5 -7/1 1 21 0.151534 In 0.151132 0.151935 -32/5 0 21 -31/5 -7/1 1 21 0.161335 In 0.160425 0.162246 -29/5 -5/1 1 21 0.172375 In 0.171335 0.173414 -28/5 0 21 -27/5 -5/1 1 21 0.185161 In 0.184561 0.185761 -26/5 0 21 -24/5 0 21 -23/5 -5/1 1 21 0.217431 In 0.216604 0.218257 -22/5 0 21 -21/5 -5/1 1 21 0.238198 In 0.236214 0.240183 -19/5 -3/1 1 21 0.263074 In 0.260654 0.265495 -18/5 0 21 -17/5 -3/1 1 21 0.294059 In 0.292547 0.295572 -16/5 0 21 -14/5 0 21 -13/5 -3/1 1 21 0.384746 In 0.382157 0.387335 -12/5 0 21 -11/5 -3/1 1 21 0.454976 In 0.447737 0.462216 -9/5 -1/1 1 21 0.555294 In 0.544512 0.566077 -8/5 0 21 -7/5 -1/1 1 21 0.714008 In 0.705092 0.722923 -6/5 0 21 -4/5 0 21 -3/5 -1/1 1 21 1.670213 In 1.621462 1.718964 -2/5 0 21 -1/5 -1/1 1 21 5.200000 In 4.283485 6.116515 1/5 1/1 1 21 -5.200000 In -6.116515 -4.283485 2/5 0 21 3/5 1/1 1 21 -1.670213 In -1.718964 -1.621462 4/5 0 21 6/5 0 21 7/5 1/1 1 21 -0.714008 In -0.722923 -0.705092 8/5 0 21 9/5 1/1 1 21 -0.555294 In -0.566077 -0.544512 11/5 3/1 1 21 -0.454976 In -0.462216 -0.447737 12/5 0 21 13/5 3/1 1 21 -0.384746 In -0.387335 -0.382157 14/5 0 21 16/5 0 21 17/5 3/1 1 21 -0.294059 In -0.295572 -0.292547 18/5 0 21 19/5 3/1 1 21 -0.263074 In -0.265495 -0.260654 21/5 5/1 1 21 -0.238198 In -0.240183 -0.236214 22/5 0 21 23/5 5/1 1 21 -0.217431 In -0.218257 -0.216604 24/5 0 21 26/5 0 21 27/5 5/1 1 21 -0.185161 In -0.185761 -0.184561 28/5 0 21 29/5 5/1 1 21 -0.172375 In -0.173414 -0.171335 31/5 7/1 1 21 -0.161335 In -0.162246 -0.160425 32/5 0 21 33/5 7/1 1 21 -0.151534 In -0.151935 -0.151132 34/5 0 21 36/5 0 21 37/5 7/1 1 21 -0.135122 In -0.135441 -0.134803 38/5 0 21 39/5 7/1 1 21 -0.128183 In -0.128757 -0.127608 41/5 9/1 1 21 -0.121976 In -0.122497 -0.121456 42/5 0 21 43/5 9/1 1 21 -0.116290 In -0.116526 -0.116053 44/5 0 21 46/5 0 21 47/5 9/1 1 21 -0.106375 In -0.106573 -0.106177 48/5 0 21 49/5 9/1 1 21 -0.102026 In -0.102390 -0.101662 -49/6 0 7 -47/6 0 7 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-29/7 1/0 1 3 0.241475 In 0.236668 0.246282 -27/7 1/0 1 3 0.259378 In 0.253831 0.264924 -26/7 -4/1 2 3 0.269539 In 0.267085 0.271993 -25/7 -4/1 1 3 0.280258 In 0.277463 0.283053 -24/7 0 3 -23/7 1/0 2 3 0.304732 In 0.293914 0.315550 -22/7 -4/1 2 3 0.319718 In 0.309368 0.330068 -20/7 -2/1 2 3 0.348993 In 0.336664 0.361323 -19/7 1/0 2 3 0.369103 In 0.353241 0.384964 -18/7 0 3 -17/7 -2/1 1 3 0.411356 In 0.405335 0.417377 -16/7 -2/1 2 3 0.436842 In 0.430396 0.443288 -15/7 1/0 1 3 0.467359 In 0.449370 0.485348 -13/7 1/0 1 3 0.539526 In 0.515565 0.563487 -12/7 -2/1 2 3 0.584906 In 0.573351 0.596460 -11/7 -2/1 1 3 0.637883 In 0.623409 0.652357 -10/7 0 3 -9/7 1/0 2 3 0.784232 In 0.713085 0.855379 -8/7 -2/1 2 3 0.891304 In 0.811430 0.971179 -6/7 0/1 2 3 1.166667 In 1.030584 1.302749 -5/7 1/0 2 3 1.438356 In 1.203474 1.673239 -4/7 0 3 -3/7 0/1 1 3 2.333333 In 2.140883 2.525783 -2/7 0/1 2 3 3.500000 In 3.091752 3.908248 -1/7 1/0 1 3 10.500000 In 4.437822 16.562178 1/7 1/0 1 3 -10.500000 In -16.562178 -4.437822 2/7 0/1 2 3 -3.500000 In -3.908248 -3.091752 3/7 0/1 1 3 -2.333333 In -2.525783 -2.140883 4/7 0 3 5/7 1/0 2 3 -1.438356 In -1.673239 -1.203474 6/7 0/1 2 3 -1.166667 In -1.302749 -1.030584 8/7 2/1 2 3 -0.891304 In -0.971179 -0.811430 9/7 1/0 2 3 -0.784232 In -0.855379 -0.713085 10/7 0 3 11/7 2/1 1 3 -0.637883 In -0.652357 -0.623409 12/7 2/1 2 3 -0.584906 In -0.596460 -0.573351 13/7 1/0 1 3 -0.539526 In -0.563487 -0.515565 15/7 1/0 1 3 -0.467359 In -0.485348 -0.449370 16/7 2/1 2 3 -0.436842 In -0.443288 -0.430396 17/7 2/1 1 3 -0.411356 In -0.417377 -0.405335 18/7 0 3 19/7 1/0 2 3 -0.369103 In -0.384964 -0.353241 20/7 2/1 2 3 -0.348993 In -0.361323 -0.336664 22/7 4/1 2 3 -0.319718 In -0.330068 -0.309368 23/7 1/0 2 3 -0.304732 In -0.315550 -0.293914 24/7 0 3 25/7 4/1 1 3 -0.280258 In -0.283053 -0.277463 26/7 4/1 2 3 -0.269539 In -0.271993 -0.267085 27/7 1/0 1 3 -0.259378 In -0.264924 -0.253831 29/7 1/0 1 3 -0.241475 In -0.246282 -0.236668 30/7 4/1 2 3 -0.233133 In 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