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 29 -49/1 -49/1 1 29 -48/1 -48/1 1 29 -47/1 -47/1 1 29 -46/1 -46/1 1 29 -45/1 -45/1 1 29 -44/1 -44/1 1 29 -43/1 -43/1 1 29 -42/1 -42/1 1 29 -41/1 -41/1 1 29 -40/1 -40/1 1 29 -39/1 -39/1 1 29 -38/1 -38/1 1 29 -37/1 -37/1 1 29 -36/1 -36/1 1 29 -35/1 -35/1 1 29 -34/1 -34/1 1 29 -33/1 -33/1 1 29 -32/1 -32/1 1 29 -31/1 -31/1 1 29 -30/1 -30/1 1 29 -29/1 -29/1 1 29 -28/1 -28/1 1 29 -27/1 -27/1 1 29 -26/1 -26/1 1 29 -25/1 -25/1 1 29 -24/1 -24/1 1 29 -23/1 -23/1 1 29 -22/1 -22/1 1 29 -21/1 -21/1 1 29 -20/1 -20/1 1 29 -19/1 -19/1 1 29 -18/1 -18/1 1 29 -17/1 -17/1 1 29 -16/1 -16/1 1 29 -15/1 -15/1 1 29 -14/1 -14/1 1 29 -13/1 -13/1 1 29 -12/1 -12/1 1 29 -11/1 -11/1 1 29 -10/1 -10/1 1 29 -9/1 -9/1 1 29 -8/1 -8/1 1 29 -7/1 -7/1 1 29 -6/1 -6/1 1 29 -5/1 -5/1 1 29 -4/1 -4/1 1 29 -3/1 -3/1 1 29 -2/1 -2/1 1 29 -1/1 -1/1 1 29 0/1 0/1 1 29 1/1 1/1 1 29 2/1 2/1 1 29 3/1 3/1 1 29 4/1 4/1 1 29 5/1 5/1 1 29 6/1 6/1 1 29 7/1 7/1 1 29 8/1 8/1 1 29 9/1 9/1 1 29 10/1 10/1 1 29 11/1 11/1 1 29 12/1 12/1 1 29 13/1 13/1 1 29 14/1 14/1 1 29 15/1 15/1 1 29 16/1 16/1 1 29 17/1 17/1 1 29 18/1 18/1 1 29 19/1 19/1 1 29 20/1 20/1 1 29 21/1 21/1 1 29 22/1 22/1 1 29 23/1 23/1 1 29 24/1 24/1 1 29 25/1 25/1 1 29 26/1 26/1 1 29 27/1 27/1 1 29 28/1 28/1 1 29 29/1 29/1 1 29 30/1 30/1 1 29 31/1 31/1 1 29 32/1 32/1 1 29 33/1 33/1 1 29 34/1 34/1 1 29 35/1 35/1 1 29 36/1 36/1 1 29 37/1 37/1 1 29 38/1 38/1 1 29 39/1 39/1 1 29 40/1 40/1 1 29 41/1 41/1 1 29 42/1 42/1 1 29 43/1 43/1 1 29 44/1 44/1 1 29 45/1 45/1 1 29 46/1 46/1 1 29 47/1 47/1 1 29 48/1 48/1 1 29 49/1 49/1 1 29 50/1 50/1 1 29 -49/2 -49/2 1 29 -47/2 -47/2 1 29 -45/2 -45/2 1 29 -43/2 -43/2 1 29 -41/2 -41/2 1 29 -39/2 -39/2 1 29 -37/2 -37/2 1 29 -35/2 -35/2 1 29 -33/2 -33/2 1 29 -31/2 -31/2 1 29 -29/2 -29/2 1 29 -27/2 -27/2 1 29 -25/2 -25/2 1 29 -23/2 -23/2 1 29 -21/2 -21/2 1 29 -19/2 -19/2 1 29 -17/2 -17/2 1 29 -15/2 -15/2 1 29 -13/2 -13/2 1 29 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In 0.087556 0.088845 -32/3 -12/1 1 29 0.093801 In 0.093072 0.094530 -31/3 -9/1 1 29 0.096732 In 0.095957 0.097508 -29/3 -11/1 1 29 0.103511 In 0.102623 0.104398 -28/3 -8/1 1 29 0.107092 In 0.106142 0.108043 -26/3 -10/1 1 29 0.115463 In 0.114359 0.116568 -25/3 -7/1 1 29 0.119938 In 0.118746 0.121130 -23/3 -9/1 1 29 0.130537 In 0.129126 0.131949 -22/3 -6/1 1 29 0.136286 In 0.134747 0.137824 -20/3 -8/1 1 29 0.150139 In 0.148271 0.152006 -19/3 -5/1 1 29 0.157794 In 0.155731 0.159856 -17/3 -7/1 1 29 0.176668 In 0.174083 0.179254 -16/3 -4/1 1 29 0.187365 In 0.184457 0.190273 -14/3 -6/1 1 29 0.214589 In 0.210775 0.218403 -13/3 -3/1 1 29 0.230581 In 0.226177 0.234984 -11/3 -5/1 1 29 0.273249 In 0.267066 0.279432 -10/3 -2/1 1 29 0.299724 In 0.292286 0.307162 -8/3 -4/1 1 29 0.376087 In 0.364380 0.387794 -7/3 -1/1 1 29 0.428169 In 0.413000 0.443338 -5/3 -3/1 1 29 0.603352 In 0.573267 0.633437 -4/3 0/1 1 29 0.750000 In 0.703576 0.796424 -2/3 -2/1 1 29 1.535714 In 1.343387 1.728042 -1/3 1/1 1 29 3.142857 In 2.373548 3.912166 1/3 -1/1 1 29 -3.142857 In -3.912166 -2.373548 2/3 2/1 1 29 -1.535714 In -1.728042 -1.343387 4/3 0/1 1 29 -0.750000 In -0.796424 -0.703576 5/3 3/1 1 29 -0.603352 In -0.633437 -0.573267 7/3 1/1 1 29 -0.428169 In -0.443338 -0.413000 8/3 4/1 1 29 -0.376087 In -0.387794 -0.364380 10/3 2/1 1 29 -0.299724 In -0.307162 -0.292286 11/3 5/1 1 29 -0.273249 In -0.279432 -0.267066 13/3 3/1 1 29 -0.230581 In -0.234984 -0.226177 14/3 6/1 1 29 -0.214589 In -0.218403 -0.210775 16/3 4/1 1 29 -0.187365 In -0.190273 -0.184457 17/3 7/1 1 29 -0.176668 In -0.179254 -0.174083 19/3 5/1 1 29 -0.157794 In -0.159856 -0.155731 20/3 8/1 1 29 -0.150139 In -0.152006 -0.148271 22/3 6/1 1 29 -0.136286 In -0.137824 -0.134747 23/3 9/1 1 29 -0.130537 In -0.131949 -0.129126 25/3 7/1 1 29 -0.119938 In -0.121130 -0.118746 26/3 10/1 1 29 -0.115463 In -0.116568 -0.114359 28/3 8/1 1 29 -0.107092 In -0.108043 -0.106142 29/3 11/1 1 29 -0.103511 In -0.104398 -0.102623 31/3 9/1 1 29 -0.096732 In 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0.114895 -33/4 1/0 1 29 0.121216 In 0.120534 0.121898 -31/4 1/0 1 29 0.129037 In 0.128264 0.129810 -29/4 1/0 1 29 0.137937 In 0.137053 0.138820 -27/4 1/0 1 29 0.148155 In 0.147136 0.149174 -25/4 1/0 1 29 0.160009 In 0.158820 0.161197 -23/4 1/0 1 29 0.173924 In 0.172520 0.175329 -21/4 1/0 1 29 0.190491 In 0.188807 0.192176 -19/4 1/0 1 29 0.210546 In 0.208489 0.212604 -17/4 1/0 1 29 0.235322 In 0.232752 0.237893 -15/4 1/0 1 29 0.266708 In 0.263406 0.270009 -13/4 1/0 1 29 0.307755 In 0.303359 0.312151 -11/4 1/0 1 29 0.363740 In 0.357600 0.369880 -9/4 1/0 1 29 0.444634 In 0.435460 0.453808 -7/4 1/0 1 29 0.571831 In 0.556662 0.587000 -5/4 1/0 1 29 0.801105 In 0.771353 0.830857 -3/4 1/0 1 29 1.338462 In 1.255613 1.421310 -1/4 1/0 1 29 4.142857 In 3.373548 4.912166 1/4 1/0 1 29 -4.142857 In -4.912166 -3.373548 3/4 1/0 1 29 -1.338462 In -1.421310 -1.255613 5/4 1/0 1 29 -0.801105 In -0.830857 -0.771353 7/4 1/0 1 29 -0.571831 In -0.587000 -0.556662 9/4 1/0 1 29 -0.444634 In -0.453808 -0.435460 11/4 1/0 1 29 -0.363740 In -0.369880 -0.357600 13/4 1/0 1 29 -0.307755 In -0.312151 -0.303359 15/4 1/0 1 29 -0.266708 In -0.270009 -0.263406 17/4 1/0 1 29 -0.235322 In -0.237893 -0.232752 19/4 1/0 1 29 -0.210546 In -0.212604 -0.208489 21/4 1/0 1 29 -0.190491 In -0.192176 -0.188807 23/4 1/0 1 29 -0.173924 In -0.175329 -0.172520 25/4 1/0 1 29 -0.160009 In -0.161197 -0.158820 27/4 1/0 1 29 -0.148155 In -0.149174 -0.147136 29/4 1/0 1 29 -0.137937 In -0.138820 -0.137053 31/4 1/0 1 29 -0.129037 In -0.129810 -0.128264 33/4 1/0 1 29 -0.121216 In -0.121898 -0.120534 35/4 1/0 1 29 -0.114289 In -0.114895 -0.113683 37/4 1/0 1 29 -0.108111 In -0.108653 -0.107568 39/4 1/0 1 29 -0.102566 In -0.103055 -0.102078 41/4 1/0 1 29 -0.097563 In -0.098005 -0.097121 43/4 1/0 1 29 -0.093025 In -0.093427 -0.092623 45/4 1/0 1 29 -0.088890 In -0.089257 -0.088524 47/4 1/0 1 29 -0.085108 In -0.085444 -0.084771 49/4 1/0 1 29 -0.081634 In -0.081943 -0.081324 -49/5 -31/3 1 29 0.102115 In 0.101487 0.102742 -48/5 -12/1 1 29 0.104212 In 0.103242 0.105181 -47/5 -7/1 1 29 0.106355 In 0.105346 0.107365 -46/5 -26/3 1 29 0.108621 In 0.107911 0.109331 -44/5 -28/3 1 29 0.113728 In 0.112950 0.114507 -43/5 -11/1 1 29 0.116336 In 0.115129 0.117544 -42/5 -6/1 1 29 0.119014 In 0.117750 0.120278 -41/5 -23/3 1 29 0.121858 In 0.120965 0.122752 -39/5 -25/3 1 29 0.128323 In 0.127332 0.129314 -38/5 -10/1 1 29 0.131655 In 0.130108 0.133201 -37/5 -5/1 1 29 0.135094 In 0.133466 0.136723 -36/5 -20/3 1 29 0.138769 In 0.137611 0.139928 -34/5 -22/3 1 29 0.147215 In 0.145912 0.148519 -33/5 -9/1 1 29 0.151619 In 0.149568 0.153671 -32/5 -4/1 1 29 0.156199 In 0.154022 0.158377 -31/5 -17/3 1 29 0.161131 In 0.159569 0.162693 -29/5 -19/3 1 29 0.172632 In 0.170839 0.174425 -28/5 -8/1 1 29 0.178723 In 0.175872 0.181573 -27/5 -3/1 1 29 0.185122 In 0.182064 0.188180 -26/5 -14/3 1 29 0.192086 In 0.189866 0.194306 -24/5 -16/3 1 29 0.208658 In 0.206038 0.211277 -23/5 -7/1 1 29 0.217630 In 0.213404 0.221856 -22/5 -2/1 1 29 0.227195 In 0.222590 0.231800 -21/5 -11/3 1 29 0.237764 In 0.234364 0.241165 -19/5 -13/3 1 29 0.263689 In 0.259507 0.267872 -18/5 -6/1 1 29 0.278205 In 0.271301 0.285109 -17/5 -1/1 1 29 0.294033 In 0.286322 0.301745 -16/5 -8/3 1 29 0.311957 In 0.306103 0.317810 -14/5 -10/3 1 29 0.358166 In 0.350451 0.365881 -13/5 -5/1 1 29 0.385562 In 0.372309 0.398815 -12/5 0/1 1 29 0.416667 In 0.401192 0.432141 -11/5 -5/3 1 29 0.453502 In 0.441136 0.465867 -9/5 -7/3 1 29 0.558261 In 0.539530 0.576992 -8/5 -4/1 1 29 0.628261 In 0.593140 0.663382 -7/5 1/1 1 29 0.715493 In 0.669985 0.761001 -6/5 -2/3 1 29 0.830769 In 0.789345 0.872194 -4/5 -4/3 1 29 1.267857 In 1.171693 1.364021 -3/5 -3/1 1 29 1.714286 In 1.457849 1.970722 -2/5 2/1 1 29 2.607143 In 2.030161 3.184125 -1/5 1/3 1 29 5.285714 In 3.747096 6.824333 1/5 -1/3 1 29 -5.285714 In -6.824333 -3.747096 2/5 -2/1 1 29 -2.607143 In -3.184125 -2.030161 3/5 3/1 1 29 -1.714286 In -1.970722 -1.457849 4/5 4/3 1 29 -1.267857 In -1.364021 -1.171693 6/5 2/3 1 29 -0.830769 In -0.872194 -0.789345 7/5 -1/1 1 29 -0.715493 In -0.761001 -0.669985 8/5 4/1 1 29 -0.628261 In -0.663382 -0.593140 9/5 7/3 1 29 -0.558261 In -0.576992 -0.539530 11/5 5/3 1 29 -0.453502 In -0.465867 -0.441136 12/5 0/1 1 29 -0.416667 In -0.432141 -0.401192 13/5 5/1 1 29 -0.385562 In -0.398815 -0.372309 14/5 10/3 1 29 -0.358166 In -0.365881 -0.350451 16/5 8/3 1 29 -0.311957 In -0.317810 -0.306103 17/5 1/1 1 29 -0.294033 In -0.301745 -0.286322 18/5 6/1 1 29 -0.278205 In -0.285109 -0.271301 19/5 13/3 1 29 -0.263689 In -0.267872 -0.259507 21/5 11/3 1 29 -0.237764 In -0.241165 -0.234364 22/5 2/1 1 29 -0.227195 In -0.231800 -0.222590 23/5 7/1 1 29 -0.217630 In -0.221856 -0.213404 24/5 16/3 1 29 -0.208658 In -0.211277 -0.206038 26/5 14/3 1 29 -0.192086 In -0.194306 -0.189866 27/5 3/1 1 29 -0.185122 In -0.188180 -0.182064 28/5 8/1 1 29 -0.178723 In -0.181573 -0.175872 29/5 19/3 1 29 -0.172632 In -0.174425 -0.170839 31/5 17/3 1 29 -0.161131 In -0.162693 -0.159569 32/5 4/1 1 29 -0.156199 In 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