SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 1/0 2 1 -50/1 0 22 -49/1 0 22 -48/1 0 22 -47/1 0 22 -46/1 0 22 -45/1 0 22 -44/1 0 22 -43/1 0 22 -42/1 0 22 -41/1 0 22 -40/1 0 22 -39/1 0 22 -38/1 0 22 -37/1 0 22 -36/1 0 22 -35/1 0 22 -34/1 0 22 -33/1 0 22 -32/1 0 22 -31/1 0 22 -30/1 0 22 -29/1 0 22 -28/1 0 22 -27/1 0 22 -26/1 0 22 -25/1 0 22 -24/1 0 22 -23/1 0 22 -22/1 0 22 -21/1 0 22 -20/1 0 22 -19/1 0 22 -18/1 0 22 -17/1 0 22 -16/1 0 22 -15/1 0 22 -14/1 0 22 -13/1 0 22 -12/1 0 22 -11/1 0 22 -10/1 0 22 -9/1 0 22 -8/1 0 22 -7/1 0 22 -6/1 0 22 -5/1 0 22 -4/1 0 22 -3/1 0 22 -2/1 0 22 -1/1 0 22 0/1 0 22 1/1 0 22 2/1 0 22 3/1 0 22 4/1 0 22 5/1 0 22 6/1 0 22 7/1 0 22 8/1 0 22 9/1 0 22 10/1 0 22 11/1 0 22 12/1 0 22 13/1 0 22 14/1 0 22 15/1 0 22 16/1 0 22 17/1 0 22 18/1 0 22 19/1 0 22 20/1 0 22 21/1 0 22 22/1 0 22 23/1 0 22 24/1 0 22 25/1 0 22 26/1 0 22 27/1 0 22 28/1 0 22 29/1 0 22 30/1 0 22 31/1 0 22 32/1 0 22 33/1 0 22 34/1 0 22 35/1 0 22 36/1 0 22 37/1 0 22 38/1 0 22 39/1 0 22 40/1 0 22 41/1 0 22 42/1 0 22 43/1 0 22 44/1 0 22 45/1 0 22 46/1 0 22 47/1 0 22 48/1 0 22 49/1 0 22 50/1 0 22 -49/2 -49/1 1 11 0.042857 In 0.036089 0.049626 -47/2 -47/1 1 11 0.044681 In 0.037624 0.051737 -45/2 -45/1 1 11 0.046667 In 0.039296 0.054037 -43/2 -43/1 1 11 0.048837 In 0.041124 0.056550 -41/2 -41/1 1 11 0.051220 In 0.043130 0.059309 -39/2 -39/1 1 11 0.053846 In 0.045342 0.062350 -37/2 -37/1 1 11 0.056757 In 0.047793 0.065721 -35/2 -35/1 1 11 0.060000 In 0.050524 0.069476 -33/2 -33/1 1 11 0.063636 In 0.053586 0.073687 -31/2 -31/1 1 11 0.067742 In 0.057043 0.078441 -29/2 -29/1 1 11 0.072414 In 0.060977 0.083850 -27/2 -27/1 1 11 0.077778 In 0.065494 0.090062 -25/2 -25/1 1 11 0.084000 In 0.070734 0.097266 -23/2 -23/1 1 11 0.091304 In 0.076884 0.105724 -21/2 -21/1 1 11 0.100000 In 0.084207 0.115793 -19/2 -19/1 1 11 0.110526 In 0.093070 0.127982 -17/2 -17/1 1 11 0.123529 In 0.104020 0.143039 -15/2 -15/1 1 11 0.140000 In 0.117889 0.162111 -13/2 -13/1 1 11 0.161538 In 0.136026 0.187051 -11/2 -11/1 1 11 0.190909 In 0.160758 0.221060 -9/2 -9/1 1 11 0.233333 In 0.196482 0.270185 -7/2 -7/1 1 11 0.300000 In 0.252620 0.347380 -5/2 -5/1 1 11 0.420000 In 0.353668 0.486332 -3/2 -3/1 1 11 0.700000 In 0.589446 0.810554 -1/2 -1/1 1 11 2.100000 In 1.768338 2.431662 1/2 1/1 1 11 -2.100000 In -2.431662 -1.768338 3/2 3/1 1 11 -0.700000 In -0.810554 -0.589446 5/2 5/1 1 11 -0.420000 In -0.486332 -0.353668 7/2 7/1 1 11 -0.300000 In -0.347380 -0.252620 9/2 9/1 1 11 -0.233333 In -0.270185 -0.196482 11/2 11/1 1 11 -0.190909 In -0.221060 -0.160758 13/2 13/1 1 11 -0.161538 In -0.187051 -0.136026 15/2 15/1 1 11 -0.140000 In -0.162111 -0.117889 17/2 17/1 1 11 -0.123529 In -0.143039 -0.104020 19/2 19/1 1 11 -0.110526 In -0.127982 -0.093070 21/2 21/1 1 11 -0.100000 In -0.115793 -0.084207 23/2 23/1 1 11 -0.091304 In -0.105724 -0.076884 25/2 25/1 1 11 -0.084000 In -0.097266 -0.070734 27/2 27/1 1 11 -0.077778 In -0.090062 -0.065494 29/2 29/1 1 11 -0.072414 In 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22 22/3 0 22 23/3 0 22 25/3 0 22 26/3 0 22 28/3 0 22 29/3 0 22 31/3 0 22 32/3 0 22 34/3 0 22 35/3 0 22 37/3 0 22 38/3 0 22 40/3 0 22 41/3 0 22 43/3 0 22 44/3 0 22 46/3 0 22 47/3 0 22 49/3 0 22 50/3 0 22 -49/4 -25/1 1 11 0.082642 In 0.076082 0.089201 -47/4 -23/1 1 11 0.086033 In 0.079754 0.092312 -45/4 -23/1 1 11 0.089994 In 0.082825 0.097162 -43/4 -21/1 1 11 0.094030 In 0.087196 0.100863 -41/4 -21/1 1 11 0.098781 In 0.090880 0.106682 -39/4 -19/1 1 11 0.103665 In 0.096169 0.111162 -37/4 -19/1 1 11 0.109471 In 0.100670 0.118271 -35/4 -17/1 1 11 0.115501 In 0.107201 0.123802 -33/4 -17/1 1 11 0.122754 In 0.112824 0.132685 -31/4 -15/1 1 11 0.130389 In 0.121092 0.139685 -29/4 -15/1 1 11 0.139708 In 0.128316 0.151099 -27/4 -13/1 1 11 0.149682 In 0.139119 0.160244 -25/4 -13/1 1 11 0.162094 In 0.148740 0.175447 -23/4 -11/1 1 11 0.175676 In 0.163452 0.187899 -21/4 -11/1 1 11 0.193023 In 0.176896 0.209151 -19/4 -9/1 1 11 0.212596 In 0.198102 0.227091 -17/4 -9/1 1 11 0.238541 In 0.218200 0.258882 -15/4 -7/1 1 11 0.269167 In 0.251395 0.286940 -13/4 -7/1 1 11 0.312155 In 0.284669 0.339641 -11/4 -5/1 1 11 0.366769 In 0.343913 0.389625 -9/4 -5/1 1 11 0.451501 In 0.409373 0.493629 -7/4 -3/1 1 11 0.575472 In 0.544183 0.606761 -5/4 -3/1 1 11 0.815789 In 0.728510 0.903069 -3/4 -1/1 1 11 1.336735 In 1.302892 1.370578 -1/4 -1/1 1 11 4.300000 In 3.305013 5.294987 1/4 1/1 1 11 -4.300000 In -5.294987 -3.305013 3/4 1/1 1 11 -1.336735 In -1.370578 -1.302892 5/4 3/1 1 11 -0.815789 In -0.903069 -0.728510 7/4 3/1 1 11 -0.575472 In -0.606761 -0.544183 9/4 5/1 1 11 -0.451501 In -0.493629 -0.409373 11/4 5/1 1 11 -0.366769 In -0.389625 -0.343913 13/4 7/1 1 11 -0.312155 In -0.339641 -0.284669 15/4 7/1 1 11 -0.269167 In -0.286940 -0.251395 17/4 9/1 1 11 -0.238541 In -0.258882 -0.218200 19/4 9/1 1 11 -0.212596 In -0.227091 -0.198102 21/4 11/1 1 11 -0.193023 In -0.209151 -0.176896 23/4 11/1 1 11 -0.175676 In -0.187899 -0.163452 25/4 13/1 1 11 -0.162094 In -0.175447 -0.148740 27/4 13/1 1 11 -0.149682 In 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3/5 0 22 4/5 0 22 6/5 0 22 7/5 0 22 8/5 0 22 9/5 0 22 11/5 0 22 12/5 0 22 13/5 0 22 14/5 0 22 16/5 0 22 17/5 0 22 18/5 0 22 19/5 0 22 21/5 0 22 22/5 0 22 23/5 0 22 24/5 0 22 26/5 0 22 27/5 0 22 28/5 0 22 29/5 0 22 31/5 0 22 32/5 0 22 33/5 0 22 34/5 0 22 36/5 0 22 37/5 0 22 38/5 0 22 39/5 0 22 41/5 0 22 42/5 0 22 43/5 0 22 44/5 0 22 46/5 0 22 47/5 0 22 48/5 0 22 49/5 0 22 -49/6 -17/1 1 11 0.123153 In 0.116424 0.129882 -47/6 -15/1 1 11 0.128230 In 0.122306 0.134154 -43/6 -15/1 1 11 0.140350 In 0.132600 0.148100 -41/6 -13/1 1 11 0.146982 In 0.140284 0.153679 -37/6 -13/1 1 11 0.163130 In 0.153997 0.172262 -35/6 -11/1 1 11 0.172158 In 0.164459 0.179857 -31/6 -11/1 1 11 0.194737 In 0.183629 0.205845 -29/6 -9/1 1 11 0.207743 In 0.198701 0.216785 -25/6 -9/1 1 11 0.241537 In 0.227380 0.255694 -23/6 -7/1 1 11 0.261872 In 0.250950 0.272793 -19/6 -7/1 1 11 0.317950 In 0.298500 0.337400 -17/6 -5/1 1 11 0.354153 In 0.340483 0.367824 -13/6 -5/1 1 11 0.465104 In 0.434361 0.495847 -11/6 -3/1 1 11 0.546899 In 0.529337 0.564460 -7/6 -3/1 1 11 0.866038 In 0.797202 0.934873 -5/6 -1/1 1 11 1.200730 In 1.188625 1.212834 -1/6 -1/1 1 11 6.500000 In 4.841688 8.158312 1/6 1/1 1 11 -6.500000 In -8.158312 -4.841688 5/6 1/1 1 11 -1.200730 In -1.212834 -1.188625 7/6 3/1 1 11 -0.866038 In -0.934873 -0.797202 11/6 3/1 1 11 -0.546899 In -0.564460 -0.529337 13/6 5/1 1 11 -0.465104 In -0.495847 -0.434361 17/6 5/1 1 11 -0.354153 In -0.367824 -0.340483 19/6 7/1 1 11 -0.317950 In -0.337400 -0.298500 23/6 7/1 1 11 -0.261872 In -0.272793 -0.250950 25/6 9/1 1 11 -0.241537 In -0.255694 -0.227380 29/6 9/1 1 11 -0.207743 In -0.216785 -0.198701 31/6 11/1 1 11 -0.194737 In -0.205845 -0.183629 35/6 11/1 1 11 -0.172158 In -0.179857 -0.164459 37/6 13/1 1 11 -0.163130 In -0.172262 -0.153997 41/6 13/1 1 11 -0.146982 In -0.153679 -0.140284 43/6 15/1 1 11 -0.140350 In -0.148100 -0.132600 47/6 15/1 1 11 -0.128230 In -0.134154 -0.122306 49/6 17/1 1 11 -0.123153 In -0.129882 -0.116424 -50/7 0 22 -48/7 0 22 -47/7 0 22 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11/1 1 11 -0.186616 In -0.193998 -0.179234 45/8 11/1 1 11 -0.178252 In -0.184690 -0.171815 47/8 11/1 1 11 -0.170610 In -0.176234 -0.164985 49/8 13/1 1 11 -0.163821 In -0.170773 -0.156870 -50/9 0 22 -49/9 0 22 -47/9 0 22 -46/9 0 22 -44/9 0 22 -43/9 0 22 -41/9 0 22 -40/9 0 22 -38/9 0 22 -37/9 0 22 -35/9 0 22 -34/9 0 22 -32/9 0 22 -31/9 0 22 -29/9 0 22 -28/9 0 22 -26/9 0 22 -25/9 0 22 -23/9 0 22 -22/9 0 22 -20/9 0 22 -19/9 0 22 -17/9 0 22 -16/9 0 22 -14/9 0 22 -13/9 0 22 -11/9 0 22 -10/9 0 22 -8/9 0 22 -7/9 0 22 -5/9 0 22 -4/9 0 22 -2/9 0 22 -1/9 0 22 1/9 0 22 2/9 0 22 4/9 0 22 5/9 0 22 7/9 0 22 8/9 0 22 10/9 0 22 11/9 0 22 13/9 0 22 14/9 0 22 16/9 0 22 17/9 0 22 19/9 0 22 20/9 0 22 22/9 0 22 23/9 0 22 25/9 0 22 26/9 0 22 28/9 0 22 29/9 0 22 31/9 0 22 32/9 0 22 34/9 0 22 35/9 0 22 37/9 0 22 38/9 0 22 40/9 0 22 41/9 0 22 43/9 0 22 44/9 0 22 46/9 0 22 47/9 0 22 49/9 0 22 50/9 0 22 -49/10 -9/1 1 11 0.204368 In 0.199203 0.209532 -47/10 -9/1 1 11 0.213106 In 0.207217 0.218995 -43/10 -7/1 1 11 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