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 11 -49/1 -49/1 1 11 -48/1 -48/1 1 11 -47/1 -47/1 1 11 -46/1 -46/1 1 11 -45/1 -45/1 1 11 -44/1 -44/1 1 11 -43/1 -43/1 1 11 -42/1 -42/1 1 11 -41/1 -41/1 1 11 -40/1 -40/1 1 11 -39/1 -39/1 1 11 -38/1 -38/1 1 11 -37/1 -37/1 1 11 -36/1 -36/1 1 11 -35/1 -35/1 1 11 -34/1 -34/1 1 11 -33/1 -33/1 1 11 -32/1 -32/1 1 11 -31/1 -31/1 1 11 -30/1 -30/1 1 11 -29/1 -29/1 1 11 -28/1 -28/1 1 11 -27/1 -27/1 1 11 -26/1 -26/1 1 11 -25/1 -25/1 1 11 -24/1 -24/1 1 11 -23/1 -23/1 1 11 -22/1 -22/1 1 11 -21/1 -21/1 1 11 -20/1 -20/1 1 11 -19/1 -19/1 1 11 -18/1 -18/1 1 11 -17/1 -17/1 1 11 -16/1 -16/1 1 11 -15/1 -15/1 1 11 -14/1 -14/1 1 11 -13/1 -13/1 1 11 -12/1 -12/1 1 11 -11/1 -11/1 1 11 -10/1 -10/1 1 11 -9/1 -9/1 1 11 -8/1 -8/1 1 11 -7/1 -7/1 1 11 -6/1 -6/1 1 11 -5/1 -5/1 1 11 -4/1 -4/1 1 11 -3/1 -3/1 1 11 -2/1 -2/1 1 11 -1/1 -1/1 1 11 0/1 0/1 1 11 1/1 1/1 1 11 2/1 2/1 1 11 3/1 3/1 1 11 4/1 4/1 1 11 5/1 5/1 1 11 6/1 6/1 1 11 7/1 7/1 1 11 8/1 8/1 1 11 9/1 9/1 1 11 10/1 10/1 1 11 11/1 11/1 1 11 12/1 12/1 1 11 13/1 13/1 1 11 14/1 14/1 1 11 15/1 15/1 1 11 16/1 16/1 1 11 17/1 17/1 1 11 18/1 18/1 1 11 19/1 19/1 1 11 20/1 20/1 1 11 21/1 21/1 1 11 22/1 22/1 1 11 23/1 23/1 1 11 24/1 24/1 1 11 25/1 25/1 1 11 26/1 26/1 1 11 27/1 27/1 1 11 28/1 28/1 1 11 29/1 29/1 1 11 30/1 30/1 1 11 31/1 31/1 1 11 32/1 32/1 1 11 33/1 33/1 1 11 34/1 34/1 1 11 35/1 35/1 1 11 36/1 36/1 1 11 37/1 37/1 1 11 38/1 38/1 1 11 39/1 39/1 1 11 40/1 40/1 1 11 41/1 41/1 1 11 42/1 42/1 1 11 43/1 43/1 1 11 44/1 44/1 1 11 45/1 45/1 1 11 46/1 46/1 1 11 47/1 47/1 1 11 48/1 48/1 1 11 49/1 49/1 1 11 50/1 50/1 1 11 -49/2 1/0 1 11 0.040818 In 0.040567 0.041069 -47/2 1/0 1 11 0.042555 In 0.042282 0.042828 -45/2 1/0 1 11 0.044446 In 0.044149 0.044744 -43/2 1/0 1 11 0.046514 In 0.046188 0.046840 -41/2 1/0 1 11 0.048783 In 0.048424 0.049142 -39/2 1/0 1 11 0.051285 In 0.050889 0.051682 -37/2 1/0 1 11 0.054058 In 0.053617 0.054498 -35/2 1/0 1 11 0.057147 In 0.056655 0.057639 -33/2 1/0 1 11 0.060611 In 0.060057 0.061165 -31/2 1/0 1 11 0.064522 In 0.063895 0.065150 -29/2 1/0 1 11 0.068973 In 0.068256 0.069690 -27/2 1/0 1 11 0.074083 In 0.073256 0.074911 -25/2 1/0 1 11 0.080012 In 0.079047 0.080977 -23/2 1/0 1 11 0.086971 In 0.085831 0.088112 -21/2 1/0 1 11 0.095258 In 0.093890 0.096625 -19/2 1/0 1 11 0.105290 In 0.103619 0.106961 -17/2 1/0 1 11 0.117684 In 0.115597 0.119771 -15/2 1/0 1 11 0.133387 In 0.130706 0.136068 -13/2 1/0 1 11 0.153929 In 0.150359 0.157499 -11/2 1/0 1 11 0.181955 In 0.176967 0.186942 -9/2 1/0 1 11 0.222472 In 0.215019 0.229925 -7/2 1/0 1 11 0.286245 In 0.273916 0.298575 -5/2 1/0 1 11 0.401460 In 0.377251 0.425669 -3/2 1/0 1 11 0.673469 In 0.605783 0.741156 -1/2 1/0 1 11 2.200000 In 1.536675 2.863325 1/2 1/0 1 11 -2.200000 In -2.863325 -1.536675 3/2 1/0 1 11 -0.673469 In -0.741156 -0.605783 5/2 1/0 1 11 -0.401460 In -0.425669 -0.377251 7/2 1/0 1 11 -0.286245 In -0.298575 -0.273916 9/2 1/0 1 11 -0.222472 In -0.229925 -0.215019 11/2 1/0 1 11 -0.181955 In -0.186942 -0.176967 13/2 1/0 1 11 -0.153929 In -0.157499 -0.150359 15/2 1/0 1 11 -0.133387 In -0.136068 -0.130706 17/2 1/0 1 11 -0.117684 In -0.119771 -0.115597 19/2 1/0 1 11 -0.105290 In -0.106961 -0.103619 21/2 1/0 1 11 -0.095258 In -0.096625 -0.093890 23/2 1/0 1 11 -0.086971 In -0.088112 -0.085831 25/2 1/0 1 11 -0.080012 In -0.080977 -0.079047 27/2 1/0 1 11 -0.074083 In -0.074911 -0.073256 29/2 1/0 1 11 -0.068973 In -0.069690 -0.068256 31/2 1/0 1 11 -0.064522 In -0.065150 -0.063895 33/2 1/0 1 11 -0.060611 In -0.061165 -0.060057 35/2 1/0 1 11 -0.057147 In -0.057639 -0.056655 37/2 1/0 1 11 -0.054058 In -0.054498 -0.053617 39/2 1/0 1 11 -0.051285 In -0.051682 -0.050889 41/2 1/0 1 11 -0.048783 In -0.049142 -0.048424 43/2 1/0 1 11 -0.046514 In -0.046840 -0.046188 45/2 1/0 1 11 -0.044446 In -0.044744 -0.044149 47/2 1/0 1 11 -0.042555 In -0.042828 -0.042282 49/2 1/0 1 11 -0.040818 In -0.041069 -0.040567 -50/3 -16/1 1 11 0.059977 In 0.059733 0.060220 -49/3 -17/1 1 11 0.061251 In 0.060997 0.061505 -47/3 -15/1 1 11 0.063803 In 0.063528 0.064079 -46/3 -16/1 1 11 0.065248 In 0.064959 0.065536 -44/3 -14/1 1 11 0.068152 In 0.067837 0.068466 -43/3 -15/1 1 11 0.069802 In 0.069472 0.070132 -41/3 -13/1 1 11 0.073136 In 0.072774 0.073498 -40/3 -14/1 1 11 0.075040 In 0.074659 0.075421 -38/3 -12/1 1 11 0.078907 In 0.078486 0.079329 -37/3 -13/1 1 11 0.081128 In 0.080683 0.081574 -35/3 -11/1 1 11 0.085667 In 0.085170 0.086164 -34/3 -12/1 1 11 0.088291 In 0.087764 0.088819 -32/3 -10/1 1 11 0.093694 In 0.093100 0.094288 -31/3 -11/1 1 11 0.096842 In 0.096207 0.097477 -29/3 -9/1 1 11 0.103381 In 0.102657 0.104104 -28/3 -10/1 1 11 0.107227 In 0.106448 0.108005 -26/3 -8/1 1 11 0.115301 In 0.114401 0.116201 -25/3 -9/1 1 11 0.120106 In 0.119130 0.121082 -23/3 -7/1 1 11 0.130329 In 0.129180 0.131479 -22/3 -8/1 1 11 0.136502 In 0.135241 0.137763 -20/3 -6/1 1 11 0.149863 In 0.148343 0.151383 -19/3 -7/1 1 11 0.158083 In 0.156391 0.159774 -17/3 -5/1 1 11 0.176284 In 0.174181 0.178387 -16/3 -6/1 1 11 0.187770 In 0.185384 0.190156 -14/3 -4/1 1 11 0.214019 In 0.210919 0.217118 -13/3 -5/1 1 11 0.231189 In 0.227572 0.234805 -11/3 -3/1 1 11 0.272315 In 0.267297 0.277332 -10/3 -4/1 1 11 0.300738 In 0.294619 0.306857 -8/3 -2/1 1 11 0.374286 In 0.364810 0.383762 -7/3 -3/1 1 11 0.430189 In 0.417673 0.442704 -5/3 -1/1 1 11 0.598540 In 0.574331 0.622749 -4/3 -2/1 1 11 0.755814 In 0.717249 0.794379 -2/3 0/1 1 11 1.500000 In 1.349244 1.650756 -1/3 -1/1 1 11 3.200000 In 2.536675 3.863325 1/3 1/1 1 11 -3.200000 In -3.863325 -2.536675 2/3 0/1 1 11 -1.500000 In -1.650756 -1.349244 4/3 2/1 1 11 -0.755814 In -0.794379 -0.717249 5/3 1/1 1 11 -0.598540 In -0.622749 -0.574331 7/3 3/1 1 11 -0.430189 In -0.442704 -0.417673 8/3 2/1 1 11 -0.374286 In -0.383762 -0.364810 10/3 4/1 1 11 -0.300738 In -0.306857 -0.294619 11/3 3/1 1 11 -0.272315 In -0.277332 -0.267297 13/3 5/1 1 11 -0.231189 In -0.234805 -0.227572 14/3 4/1 1 11 -0.214019 In -0.217118 -0.210919 16/3 6/1 1 11 -0.187770 In -0.190156 -0.185384 17/3 5/1 1 11 -0.176284 In -0.178387 -0.174181 19/3 7/1 1 11 -0.158083 In -0.159774 -0.156391 20/3 6/1 1 11 -0.149863 In -0.151383 -0.148343 22/3 8/1 1 11 -0.136502 In -0.137763 -0.135241 23/3 7/1 1 11 -0.130329 In -0.131479 -0.129180 25/3 9/1 1 11 -0.120106 In -0.121082 -0.119130 26/3 8/1 1 11 -0.115301 In -0.116201 -0.114401 28/3 10/1 1 11 -0.107227 In -0.108005 -0.106448 29/3 9/1 1 11 -0.103381 In -0.104104 -0.102657 31/3 11/1 1 11 -0.096842 In -0.097477 -0.096207 32/3 10/1 1 11 -0.093694 In -0.094288 -0.093100 34/3 12/1 1 11 -0.088291 In -0.088819 -0.087764 35/3 11/1 1 11 -0.085667 In -0.086164 -0.085170 37/3 13/1 1 11 -0.081128 In -0.081574 -0.080683 38/3 12/1 1 11 -0.078907 In -0.079329 -0.078486 40/3 14/1 1 11 -0.075040 In -0.075421 -0.074659 41/3 13/1 1 11 -0.073136 In -0.073498 -0.072774 43/3 15/1 1 11 -0.069802 In -0.070132 -0.069472 44/3 14/1 1 11 -0.068152 In -0.068466 -0.067837 46/3 16/1 1 11 -0.065248 In -0.065536 -0.064959 47/3 15/1 1 11 -0.063803 In -0.064079 -0.063528 49/3 17/1 1 11 -0.061251 In -0.061505 -0.060997 50/3 16/1 1 11 -0.059977 In -0.060220 -0.059733 -49/4 1/0 1 11 0.081636 In 0.081133 0.082138 -47/4 1/0 1 11 0.085110 In 0.084564 0.085656 -45/4 1/0 1 11 0.088893 In 0.088297 0.089488 -43/4 1/0 1 11 0.093028 In 0.092376 0.093680 -41/4 1/0 1 11 0.097566 In 0.096849 0.098284 -39/4 1/0 1 11 0.102570 In 0.101777 0.103363 -37/4 1/0 1 11 0.108115 In 0.107234 0.108996 -35/4 1/0 1 11 0.114294 In 0.113310 0.115279 -33/4 1/0 1 11 0.121222 In 0.120115 0.122330 -31/4 1/0 1 11 0.129044 In 0.127789 0.130300 -29/4 1/0 1 11 0.137946 In 0.136512 0.139380 -27/4 1/0 1 11 0.148167 In 0.146512 0.149821 -25/4 1/0 1 11 0.160023 In 0.158093 0.161953 -23/4 1/0 1 11 0.173943 In 0.171663 0.176223 -21/4 1/0 1 11 0.190515 In 0.187780 0.193251 -19/4 1/0 1 11 0.210579 In 0.207238 0.213921 -17/4 1/0 1 11 0.235368 In 0.231194 0.239543 -15/4 1/0 1 11 0.266774 In 0.261412 0.272137 -13/4 1/0 1 11 0.307858 In 0.300718 0.314998 -11/4 1/0 1 11 0.363910 In 0.353935 0.373885 -9/4 1/0 1 11 0.444944 In 0.430038 0.459850 -7/4 1/0 1 11 0.572491 In 0.547832 0.597150 -5/4 1/0 1 11 0.802920 In 0.754502 0.851338 -3/4 1/0 1 11 1.346939 In 1.211566 1.482311 -1/4 1/0 1 11 4.400000 In 3.073350 5.726650 1/4 1/0 1 11 -4.400000 In -5.726650 -3.073350 3/4 1/0 1 11 -1.346939 In -1.482311 -1.211566 5/4 1/0 1 11 -0.802920 In -0.851338 -0.754502 7/4 1/0 1 11 -0.572491 In -0.597150 -0.547832 9/4 1/0 1 11 -0.444944 In -0.459850 -0.430038 11/4 1/0 1 11 -0.363910 In -0.373885 -0.353935 13/4 1/0 1 11 -0.307858 In -0.314998 -0.300718 15/4 1/0 1 11 -0.266774 In -0.272137 -0.261412 17/4 1/0 1 11 -0.235368 In -0.239543 -0.231194 19/4 1/0 1 11 -0.210579 In -0.213921 -0.207238 21/4 1/0 1 11 -0.190515 In -0.193251 -0.187780 23/4 1/0 1 11 -0.173943 In -0.176223 -0.171663 25/4 1/0 1 11 -0.160023 In -0.161953 -0.158093 27/4 1/0 1 11 -0.148167 In -0.149821 -0.146512 29/4 1/0 1 11 -0.137946 In -0.139380 -0.136512 31/4 1/0 1 11 -0.129044 In -0.130300 -0.127789 33/4 1/0 1 11 -0.121222 In -0.122330 -0.120115 35/4 1/0 1 11 -0.114294 In -0.115279 -0.113310 37/4 1/0 1 11 -0.108115 In -0.108996 -0.107234 39/4 1/0 1 11 -0.102570 In -0.103363 -0.101777 41/4 1/0 1 11 -0.097566 In -0.098284 -0.096849 43/4 1/0 1 11 -0.093028 In -0.093680 -0.092376 45/4 1/0 1 11 -0.088893 In -0.089488 -0.088297 47/4 1/0 1 11 -0.085110 In -0.085656 -0.084564 49/4 1/0 1 11 -0.081636 In -0.082138 -0.081133 -49/5 -9/1 1 11 0.102013 In 0.101509 0.102517 -48/5 -10/1 1 11 0.104183 In 0.103920 0.104446 -47/5 -9/1 1 11 0.106367 In 0.106093 0.106641 -46/5 -10/1 1 11 0.108733 In 0.108161 0.109306 -44/5 -8/1 1 11 0.113602 In 0.112977 0.114227 -43/5 -9/1 1 11 0.116300 In 0.115972 0.116627 -42/5 -8/1 1 11 0.119028 In 0.118685 0.119371 -41/5 -9/1 1 11 0.121999 In 0.121278 0.122720 -39/5 -7/1 1 11 0.128162 In 0.127367 0.128957 -38/5 -8/1 1 11 0.131606 In 0.131186 0.132025 -37/5 -7/1 1 11 0.135110 In 0.134668 0.135552 -36/5 -8/1 1 11 0.138952 In 0.138017 0.139886 -34/5 -6/1 1 11 0.147003 In 0.145957 0.148049 -33/5 -7/1 1 11 0.151551 In 0.150995 0.152107 -32/5 -6/1 1 11 0.156217 In 0.155626 0.156807 -31/5 -7/1 1 11 0.161376 In 0.160115 0.162637 -29/5 -5/1 1 11 0.172339 In 0.170901 0.173777 -28/5 -6/1 1 11 0.178621 In 0.177849 0.179394 -27/5 -5/1 1 11 0.185139 In 0.184309 0.185969 -26/5 -6/1 1 11 0.192432 In 0.190640 0.194225 -24/5 -4/1 1 11 0.208228 In 0.206129 0.210327 -23/5 -5/1 1 11 0.217466 In 0.216321 0.218611 -22/5 -4/1 1 11 0.227204 In 0.225955 0.228454 -21/5 -5/1 1 11 0.238293 In 0.235544 0.241042 -19/5 -3/1 1 11 0.262998 In 0.259650 0.266347 -18/5 -4/1 1 11 0.277903 In 0.276033 0.279773 -17/5 -3/1 1 11 0.294006 In 0.291914 0.296099 -16/5 -4/1 1 11 0.312857 In 0.308119 0.317595 -14/5 -2/1 1 11 0.356877 In 0.350713 0.363042 -13/5 -3/1 1 11 0.384865 In 0.381279 0.388450 -12/5 -2/1 1 11 0.416456 In 0.412257 0.420654 -11/5 -3/1 1 11 0.455371 In 0.445335 0.465406 -9/5 -1/1 1 11 0.555056 In 0.540150 0.569962 -8/5 -2/1 1 11 0.625714 In 0.616238 0.635190 -7/5 -1/1 1 11 0.713755 In 0.701425 0.726084 -6/5 -2/1 1 11 0.836735 In 0.802892 0.870578 -4/5 0/1 1 11 1.250000 In 1.174622 1.325378 -3/5 -1/1 1 11 1.673469 In 1.605783 1.741156 -2/5 0/1 1 11 2.500000 In 2.349244 2.650756 -1/5 -1/1 1 11 5.400000 In 4.073350 6.726650 1/5 1/1 1 11 -5.400000 In -6.726650 -4.073350 2/5 0/1 1 11 -2.500000 In -2.650756 -2.349244 3/5 1/1 1 11 -1.673469 In -1.741156 -1.605783 4/5 0/1 1 11 -1.250000 In -1.325378 -1.174622 6/5 2/1 1 11 -0.836735 In -0.870578 -0.802892 7/5 1/1 1 11 -0.713755 In -0.726084 -0.701425 8/5 2/1 1 11 -0.625714 In -0.635190 -0.616238 9/5 1/1 1 11 -0.555056 In -0.569962 -0.540150 11/5 3/1 1 11 -0.455371 In -0.465406 -0.445335 12/5 2/1 1 11 -0.416456 In -0.420654 -0.412257 13/5 3/1 1 11 -0.384865 In -0.388450 -0.381279 14/5 2/1 1 11 -0.356877 In -0.363042 -0.350713 16/5 4/1 1 11 -0.312857 In -0.317595 -0.308119 17/5 3/1 1 11 -0.294006 In -0.296099 -0.291914 18/5 4/1 1 11 -0.277903 In -0.279773 -0.276033 19/5 3/1 1 11 -0.262998 In 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