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 -50/1 1 23 -49/1 -49/1 1 23 -48/1 -48/1 1 23 -47/1 -47/1 1 23 -46/1 -46/1 1 23 -45/1 -45/1 1 23 -44/1 -44/1 1 23 -43/1 -43/1 1 23 -42/1 -42/1 1 23 -41/1 -41/1 1 23 -40/1 -40/1 1 23 -39/1 -39/1 1 23 -38/1 -38/1 1 23 -37/1 -37/1 1 23 -36/1 -36/1 1 23 -35/1 -35/1 1 23 -34/1 -34/1 1 23 -33/1 -33/1 1 23 -32/1 -32/1 1 23 -31/1 -31/1 1 23 -30/1 -30/1 1 23 -29/1 -29/1 1 23 -28/1 -28/1 1 23 -27/1 -27/1 1 23 -26/1 -26/1 1 23 -25/1 -25/1 1 23 -24/1 -24/1 1 23 -23/1 -23/1 1 23 -22/1 -22/1 1 23 -21/1 -21/1 1 23 -20/1 -20/1 1 23 -19/1 -19/1 1 23 -18/1 -18/1 1 23 -17/1 -17/1 1 23 -16/1 -16/1 1 23 -15/1 -15/1 1 23 -14/1 -14/1 1 23 -13/1 -13/1 1 23 -12/1 -12/1 1 23 -11/1 -11/1 1 23 -10/1 -10/1 1 23 -9/1 -9/1 1 23 -8/1 -8/1 1 23 -7/1 -7/1 1 23 -6/1 -6/1 1 23 -5/1 -5/1 1 23 -4/1 -4/1 1 23 -3/1 -3/1 1 23 -2/1 -2/1 1 23 -1/1 -1/1 1 23 0/1 0/1 1 23 1/1 1/1 1 23 2/1 2/1 1 23 3/1 3/1 1 23 4/1 4/1 1 23 5/1 5/1 1 23 6/1 6/1 1 23 7/1 7/1 1 23 8/1 8/1 1 23 9/1 9/1 1 23 10/1 10/1 1 23 11/1 11/1 1 23 12/1 12/1 1 23 13/1 13/1 1 23 14/1 14/1 1 23 15/1 15/1 1 23 16/1 16/1 1 23 17/1 17/1 1 23 18/1 18/1 1 23 19/1 19/1 1 23 20/1 20/1 1 23 21/1 21/1 1 23 22/1 22/1 1 23 23/1 23/1 1 23 24/1 24/1 1 23 25/1 25/1 1 23 26/1 26/1 1 23 27/1 27/1 1 23 28/1 28/1 1 23 29/1 29/1 1 23 30/1 30/1 1 23 31/1 31/1 1 23 32/1 32/1 1 23 33/1 33/1 1 23 34/1 34/1 1 23 35/1 35/1 1 23 36/1 36/1 1 23 37/1 37/1 1 23 38/1 38/1 1 23 39/1 39/1 1 23 40/1 40/1 1 23 41/1 41/1 1 23 42/1 42/1 1 23 43/1 43/1 1 23 44/1 44/1 1 23 45/1 45/1 1 23 46/1 46/1 1 23 47/1 47/1 1 23 48/1 48/1 1 23 49/1 49/1 1 23 50/1 50/1 1 23 -49/2 1/0 1 23 0.040817 In 0.040643 0.040991 -47/2 1/0 1 23 0.042554 In 0.042365 0.042743 -45/2 1/0 1 23 0.044445 In 0.044239 0.044651 -43/2 1/0 1 23 0.046513 In 0.046287 0.046738 -41/2 1/0 1 23 0.048782 In 0.048534 0.049030 -39/2 1/0 1 23 0.051284 In 0.051009 0.051558 -37/2 1/0 1 23 0.054056 In 0.053751 0.054360 -35/2 1/0 1 23 0.057145 In 0.056804 0.057485 -33/2 1/0 1 23 0.060608 In 0.060226 0.060991 -31/2 1/0 1 23 0.064519 In 0.064085 0.064953 -29/2 1/0 1 23 0.068969 In 0.068473 0.069465 -27/2 1/0 1 23 0.074078 In 0.073506 0.074651 -25/2 1/0 1 23 0.080006 In 0.079338 0.080673 -23/2 1/0 1 23 0.086964 In 0.086175 0.087752 -21/2 1/0 1 23 0.095247 In 0.094302 0.096193 -19/2 1/0 1 23 0.105276 In 0.104120 0.106431 -17/2 1/0 1 23 0.117665 In 0.116222 0.119108 -15/2 1/0 1 23 0.133359 In 0.131505 0.135213 -13/2 1/0 1 23 0.153886 In 0.151417 0.156354 -11/2 1/0 1 23 0.181884 In 0.178436 0.185331 -9/2 1/0 1 23 0.222342 In 0.217190 0.227493 -7/2 1/0 1 23 0.285968 In 0.277450 0.294486 -5/2 1/0 1 23 0.400697 In 0.383987 0.417407 -3/2 1/0 1 23 0.669903 In 0.623341 0.716464 -1/2 1/0 1 23 2.090909 In 1.654924 2.526894 1/2 1/0 1 23 -2.090909 In -2.526894 -1.654924 3/2 1/0 1 23 -0.669903 In -0.716464 -0.623341 5/2 1/0 1 23 -0.400697 In -0.417407 -0.383987 7/2 1/0 1 23 -0.285968 In -0.294486 -0.277450 9/2 1/0 1 23 -0.222342 In -0.227493 -0.217190 11/2 1/0 1 23 -0.181884 In -0.185331 -0.178436 13/2 1/0 1 23 -0.153886 In -0.156354 -0.151417 15/2 1/0 1 23 -0.133359 In -0.135213 -0.131505 17/2 1/0 1 23 -0.117665 In -0.119108 -0.116222 19/2 1/0 1 23 -0.105276 In -0.106431 -0.104120 21/2 1/0 1 23 -0.095247 In -0.096193 -0.094302 23/2 1/0 1 23 -0.086964 In -0.087752 -0.086175 25/2 1/0 1 23 -0.080006 In -0.080673 -0.079338 27/2 1/0 1 23 -0.074078 In -0.074651 -0.073506 29/2 1/0 1 23 -0.068969 In -0.069465 -0.068473 31/2 1/0 1 23 -0.064519 In -0.064953 -0.064085 33/2 1/0 1 23 -0.060608 In -0.060991 -0.060226 35/2 1/0 1 23 -0.057145 In -0.057485 -0.056804 37/2 1/0 1 23 -0.054056 In -0.054360 -0.053751 39/2 1/0 1 23 -0.051284 In -0.051558 -0.051009 41/2 1/0 1 23 -0.048782 In -0.049030 -0.048534 43/2 1/0 1 23 -0.046513 In -0.046738 -0.046287 45/2 1/0 1 23 -0.044445 In -0.044651 -0.044239 47/2 1/0 1 23 -0.042554 In -0.042743 -0.042365 49/2 1/0 1 23 -0.040817 In -0.040991 -0.040643 -50/3 -16/1 1 23 0.059989 In 0.059821 0.060156 -49/3 -17/1 1 23 0.061237 In 0.061063 0.061412 -47/3 -15/1 1 23 0.063817 In 0.063628 0.064007 -46/3 -16/1 1 23 0.065232 In 0.065034 0.065430 -44/3 -14/1 1 23 0.068167 In 0.067951 0.068384 -43/3 -15/1 1 23 0.069784 In 0.069557 0.070011 -41/3 -13/1 1 23 0.073154 In 0.072905 0.073403 -40/3 -14/1 1 23 0.075019 In 0.074757 0.075281 -38/3 -12/1 1 23 0.078928 In 0.078638 0.079218 -37/3 -13/1 1 23 0.081104 In 0.080797 0.081410 -35/3 -11/1 1 23 0.085692 In 0.085350 0.086034 -34/3 -12/1 1 23 0.088262 In 0.087899 0.088625 -32/3 -10/1 1 23 0.093723 In 0.093314 0.094132 -31/3 -11/1 1 23 0.096806 In 0.096370 0.097243 -29/3 -9/1 1 23 0.103416 In 0.102918 0.103914 -28/3 -10/1 1 23 0.107183 In 0.106648 0.107718 -26/3 -8/1 1 23 0.115345 In 0.114725 0.115964 -25/3 -9/1 1 23 0.120050 In 0.119379 0.120721 -23/3 -7/1 1 23 0.130385 In 0.129593 0.131176 -22/3 -8/1 1 23 0.136429 In 0.135563 0.137296 -20/3 -6/1 1 23 0.149935 In 0.148888 0.150981 -19/3 -7/1 1 23 0.157984 In 0.156822 0.159146 -17/3 -5/1 1 23 0.176382 In 0.174933 0.177830 -16/3 -6/1 1 23 0.187628 In 0.185989 0.189267 -14/3 -4/1 1 23 0.214159 In 0.212023 0.216294 -13/3 -5/1 1 23 0.230968 In 0.228485 0.233452 -11/3 -3/1 1 23 0.272531 In 0.269073 0.275988 -10/3 -4/1 1 23 0.300350 In 0.296151 0.304550 -8/3 -2/1 1 23 0.374659 In 0.368126 0.381193 -7/3 -3/1 1 23 0.429338 In 0.420759 0.437917 -5/3 -1/1 1 23 0.599303 In 0.582593 0.616013 -4/3 -2/1 1 23 0.752747 In 0.726397 0.779098 -2/3 0/1 1 23 1.500000 In 1.395743 1.604257 -1/3 -1/1 1 23 3.090909 In 2.654924 3.526894 1/3 1/1 1 23 -3.090909 In -3.526894 -2.654924 2/3 0/1 1 23 -1.500000 In -1.604257 -1.395743 4/3 2/1 1 23 -0.752747 In -0.779098 -0.726397 5/3 1/1 1 23 -0.599303 In -0.616013 -0.582593 7/3 3/1 1 23 -0.429338 In -0.437917 -0.420759 8/3 2/1 1 23 -0.374659 In -0.381193 -0.368126 10/3 4/1 1 23 -0.300350 In -0.304550 -0.296151 11/3 3/1 1 23 -0.272531 In -0.275988 -0.269073 13/3 5/1 1 23 -0.230968 In -0.233452 -0.228485 14/3 4/1 1 23 -0.214159 In -0.216294 -0.212023 16/3 6/1 1 23 -0.187628 In -0.189267 -0.185989 17/3 5/1 1 23 -0.176382 In -0.177830 -0.174933 19/3 7/1 1 23 -0.157984 In -0.159146 -0.156822 20/3 6/1 1 23 -0.149935 In -0.150981 -0.148888 22/3 8/1 1 23 -0.136429 In -0.137296 -0.135563 23/3 7/1 1 23 -0.130385 In -0.131176 -0.129593 25/3 9/1 1 23 -0.120050 In -0.120721 -0.119379 26/3 8/1 1 23 -0.115345 In -0.115964 -0.114725 28/3 10/1 1 23 -0.107183 In -0.107718 -0.106648 29/3 9/1 1 23 -0.103416 In -0.103914 -0.102918 31/3 11/1 1 23 -0.096806 In -0.097243 -0.096370 32/3 10/1 1 23 -0.093723 In -0.094132 -0.093314 34/3 12/1 1 23 -0.088262 In -0.088625 -0.087899 35/3 11/1 1 23 -0.085692 In -0.086034 -0.085350 37/3 13/1 1 23 -0.081104 In -0.081410 -0.080797 38/3 12/1 1 23 -0.078928 In -0.079218 -0.078638 40/3 14/1 1 23 -0.075019 In -0.075281 -0.074757 41/3 13/1 1 23 -0.073154 In -0.073403 -0.072905 43/3 15/1 1 23 -0.069784 In -0.070011 -0.069557 44/3 14/1 1 23 -0.068167 In -0.068384 -0.067951 46/3 16/1 1 23 -0.065232 In -0.065430 -0.065034 47/3 15/1 1 23 -0.063817 In -0.064007 -0.063628 49/3 17/1 1 23 -0.061237 In -0.061412 -0.061063 50/3 16/1 1 23 -0.059989 In -0.060156 -0.059821 -49/4 1/0 1 23 0.081634 In 0.081287 0.081982 -47/4 1/0 1 23 0.085108 In 0.084730 0.085486 -45/4 1/0 1 23 0.088891 In 0.088479 0.089303 -43/4 1/0 1 23 0.093025 In 0.092574 0.093477 -41/4 1/0 1 23 0.097563 In 0.097067 0.098060 -39/4 1/0 1 23 0.102567 In 0.102019 0.103115 -37/4 1/0 1 23 0.108112 In 0.107502 0.108721 -35/4 1/0 1 23 0.114290 In 0.113609 0.114971 -33/4 1/0 1 23 0.121217 In 0.120451 0.121983 -31/4 1/0 1 23 0.129038 In 0.128170 0.129906 -29/4 1/0 1 23 0.137938 In 0.136946 0.138930 -27/4 1/0 1 23 0.148157 In 0.147013 0.149301 -25/4 1/0 1 23 0.160011 In 0.158677 0.161346 -23/4 1/0 1 23 0.173927 In 0.172351 0.175504 -21/4 1/0 1 23 0.190495 In 0.188603 0.192386 -19/4 1/0 1 23 0.210552 In 0.208241 0.212862 -17/4 1/0 1 23 0.235330 In 0.232443 0.238216 -15/4 1/0 1 23 0.266718 In 0.263011 0.270426 -13/4 1/0 1 23 0.307771 In 0.302835 0.312708 -11/4 1/0 1 23 0.363767 In 0.356872 0.370663 -9/4 1/0 1 23 0.444683 In 0.434381 0.454986 -7/4 1/0 1 23 0.571936 In 0.554899 0.588973 -5/4 1/0 1 23 0.801394 In 0.767973 0.834814 -3/4 1/0 1 23 1.339806 In 1.246683 1.432929 -1/4 1/0 1 23 4.181818 In 3.309849 5.053788 1/4 1/0 1 23 -4.181818 In -5.053788 -3.309849 3/4 1/0 1 23 -1.339806 In -1.432929 -1.246683 5/4 1/0 1 23 -0.801394 In -0.834814 -0.767973 7/4 1/0 1 23 -0.571936 In -0.588973 -0.554899 9/4 1/0 1 23 -0.444683 In -0.454986 -0.434381 11/4 1/0 1 23 -0.363767 In -0.370663 -0.356872 13/4 1/0 1 23 -0.307771 In -0.312708 -0.302835 15/4 1/0 1 23 -0.266718 In -0.270426 -0.263011 17/4 1/0 1 23 -0.235330 In -0.238216 -0.232443 19/4 1/0 1 23 -0.210552 In -0.212862 -0.208241 21/4 1/0 1 23 -0.190495 In -0.192386 -0.188603 23/4 1/0 1 23 -0.173927 In -0.175504 -0.172351 25/4 1/0 1 23 -0.160011 In -0.161346 -0.158677 27/4 1/0 1 23 -0.148157 In -0.149301 -0.147013 29/4 1/0 1 23 -0.137938 In -0.138930 -0.136946 31/4 1/0 1 23 -0.129038 In 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-34/5 -6/1 1 23 0.147032 In 0.146310 0.147755 -33/5 -5/1 1 23 0.151467 In 0.149933 0.153000 -32/5 -8/1 1 23 0.156335 In 0.154702 0.157969 -31/5 -7/1 1 23 0.161331 In 0.160461 0.162201 -29/5 -5/1 1 23 0.172378 In 0.171385 0.173371 -28/5 -4/1 1 23 0.178508 In 0.176378 0.180638 -27/5 -7/1 1 23 0.185309 In 0.183014 0.187604 -26/5 -6/1 1 23 0.192367 In 0.191131 0.193604 -24/5 -4/1 1 23 0.208283 In 0.206833 0.209733 -23/5 -3/1 1 23 0.217305 In 0.214150 0.220461 -22/5 -6/1 1 23 0.227469 In 0.224012 0.230927 -21/5 -5/1 1 23 0.238189 In 0.236293 0.240085 -19/5 -3/1 1 23 0.263082 In 0.260769 0.265395 -18/5 -2/1 1 23 0.277658 In 0.272507 0.282810 -17/5 -5/1 1 23 0.294473 In 0.288679 0.300267 -16/5 -4/1 1 23 0.312670 In 0.309403 0.315937 -14/5 -2/1 1 23 0.357016 In 0.352757 0.361275 -13/5 -1/1 1 23 0.384457 In 0.374584 0.394330 -12/5 -4/1 1 23 0.417476 In 0.405835 0.429116 -11/5 -3/1 1 23 0.454939 In 0.448023 0.461854 -9/5 -1/1 1 23 0.555317 In 0.545014 0.565619 -8/5 0/1 1 23 0.625000 In 0.598936 0.651064 -7/5 -3/1 1 23 0.717352 In 0.683035 0.751670 -6/5 -2/1 1 23 0.834951 In 0.811671 0.858232 -4/5 0/1 1 23 1.250000 In 1.197871 1.302129 -3/5 1/1 1 23 1.679612 In 1.493366 1.865858 -2/5 -2/1 1 23 2.590909 In 2.154924 3.026894 -1/5 -1/1 1 23 5.181818 In 4.309849 6.053788 1/5 1/1 1 23 -5.181818 In -6.053788 -4.309849 2/5 2/1 1 23 -2.590909 In -3.026894 -2.154924 3/5 -1/1 1 23 -1.679612 In -1.865858 -1.493366 4/5 0/1 1 23 -1.250000 In -1.302129 -1.197871 6/5 2/1 1 23 -0.834951 In -0.858232 -0.811671 7/5 3/1 1 23 -0.717352 In -0.751670 -0.683035 8/5 0/1 1 23 -0.625000 In -0.651064 -0.598936 9/5 1/1 1 23 -0.555317 In -0.565619 -0.545014 11/5 3/1 1 23 -0.454939 In -0.461854 -0.448023 12/5 4/1 1 23 -0.417476 In -0.429116 -0.405835 13/5 1/1 1 23 -0.384457 In -0.394330 -0.374584 14/5 2/1 1 23 -0.357016 In -0.361275 -0.352757 16/5 4/1 1 23 -0.312670 In -0.315937 -0.309403 17/5 5/1 1 23 -0.294473 In -0.300267 -0.288679 18/5 2/1 1 23 -0.277658 In -0.282810 -0.272507 19/5 3/1 1 23 -0.263082 In -0.265395 -0.260769 21/5 5/1 1 23 -0.238189 In -0.240085 -0.236293 22/5 6/1 1 23 -0.227469 In -0.230927 -0.224012 23/5 3/1 1 23 -0.217305 In -0.220461 -0.214150 24/5 4/1 1 23 -0.208283 In -0.209733 -0.206833 26/5 6/1 1 23 -0.192367 In -0.193604 -0.191131 27/5 7/1 1 23 -0.185309 In -0.187604 -0.183014 28/5 4/1 1 23 -0.178508 In -0.180638 -0.176378 29/5 5/1 1 23 -0.172378 In -0.173371 -0.171385 31/5 7/1 1 23 -0.161331 In -0.162201 -0.160461 32/5 8/1 1 23 -0.156335 In -0.157969 -0.154702 33/5 5/1 1 23 -0.151467 In -0.153000 -0.149933 34/5 6/1 1 23 -0.147032 In -0.147755 -0.146310 36/5 8/1 1 23 -0.138919 In -0.139564 -0.138274 37/5 9/1 1 23 -0.135197 In -0.136419 -0.133975 38/5 6/1 1 23 -0.131541 In -0.132697 -0.130384 39/5 7/1 1 23 -0.128185 In -0.128734 -0.127635 41/5 9/1 1 23 -0.121974 In -0.122471 -0.121477 42/5 10/1 1 23 -0.119095 In -0.120043 -0.118147 43/5 7/1 1 23 -0.116248 In -0.117152 -0.115345 44/5 8/1 1 23 -0.113620 In -0.114051 -0.113189 46/5 10/1 1 23 -0.108714 In 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