SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 31 -50/1 0 31 -49/1 1/0 1 31 0.020408 In 0.020334 0.020483 -48/1 0 31 -47/1 -3/2 1 31 0.021192 In 0.013792 0.028592 -46/1 0 31 -45/1 1/0 1 31 0.022223 In 0.022134 0.022311 -44/1 0 31 -43/1 -1/2 1 31 0.023221 In 0.014965 0.031478 -42/1 0 31 -41/1 1/0 1 31 0.024391 In 0.024284 0.024498 -40/1 0 31 -39/1 -3/2 1 31 0.025519 In 0.016661 0.034377 -38/1 0 31 -37/1 1/0 1 31 0.027028 In 0.026896 0.027159 -36/1 0 31 -35/1 1/0 1 31 0.028572 In 0.028426 0.028719 -34/1 0 31 -33/1 -3/2 1 31 0.030133 In 0.019740 0.040526 -32/1 0 31 -31/1 -1/1 2 1 0.030240 In -0.014000 0.074480 -30/1 0 31 -29/1 -1/2 1 31 0.034407 In 0.022234 0.046581 -28/1 0 31 -27/1 1/0 1 31 0.037039 In 0.036792 0.037285 -26/1 0 31 -25/1 1/0 1 31 0.040002 In 0.039715 0.040289 -24/1 0 31 -23/1 -1/2 1 31 0.043359 In 0.028080 0.058638 -22/1 0 31 -21/1 1/0 1 31 0.047623 In 0.047215 0.048030 -20/1 0 31 -19/1 -3/2 1 31 0.052137 In 0.034710 0.069565 -18/1 0 31 -17/1 1/0 1 31 0.058830 In 0.058209 0.059452 -16/1 0 31 -15/1 -1/2 1 31 0.066389 In 0.043237 0.089542 -14/1 0 31 -13/1 1/0 1 31 0.076938 In 0.075875 0.078001 -12/1 0 31 -11/1 1/0 1 31 0.090933 In 0.089449 0.092418 -10/1 0 31 -9/1 1/0 1 31 0.111155 In 0.108937 0.113374 -8/1 0 31 -7/1 1/0 1 31 0.142951 In 0.139283 0.146619 -6/1 0 31 -5/1 -1/2 1 31 0.197674 In 0.132933 0.262416 -4/1 0 31 -3/1 1/0 1 31 0.334532 In 0.314504 0.354560 -2/1 0 31 -1/1 1/0 1 31 1.033333 In 0.847741 1.218925 0/1 0 1 1/1 1/0 1 31 -1.033333 In -1.218925 -0.847741 2/1 0 31 3/1 1/0 1 31 -0.334532 In -0.354560 -0.314504 4/1 0 31 5/1 -3/2 1 31 -0.210183 In -0.304675 -0.115691 6/1 0 31 7/1 1/0 1 31 -0.142951 In -0.146619 -0.139283 8/1 0 31 9/1 1/0 1 31 -0.111155 In -0.113374 -0.108937 10/1 0 31 11/1 1/0 1 31 -0.090933 In -0.092418 -0.089449 12/1 0 31 13/1 1/0 1 31 -0.076938 In -0.078001 -0.075875 14/1 0 31 15/1 -3/2 1 31 -0.067614 In -0.093990 -0.041238 16/1 0 31 17/1 1/0 1 31 -0.058830 In -0.059452 -0.058209 18/1 0 31 19/1 -1/2 1 31 -0.052815 In -0.072220 -0.033410 20/1 0 31 21/1 1/0 1 31 -0.047623 In -0.048030 -0.047215 22/1 0 31 23/1 -3/2 1 31 -0.043868 In -0.060514 -0.027223 24/1 0 31 25/1 1/0 1 31 -0.040002 In -0.040289 -0.039715 26/1 0 31 27/1 1/0 1 31 -0.037039 In -0.037285 -0.036792 28/1 0 31 29/1 -3/2 1 31 -0.034725 In -0.047757 -0.021693 30/1 0 31 31/1 -1/1 2 1 -0.034411 In -0.081600 0.012779 32/1 0 31 33/1 -1/2 1 31 -0.030363 In -0.041414 -0.019313 34/1 0 31 35/1 1/0 1 31 -0.028572 In -0.028719 -0.028426 36/1 0 31 37/1 1/0 1 31 -0.027028 In -0.027159 -0.026896 38/1 0 31 39/1 -1/2 1 31 -0.025684 In -0.035013 -0.016355 40/1 0 31 41/1 1/0 1 31 -0.024391 In -0.024498 -0.024284 42/1 0 31 43/1 -3/2 1 31 -0.023364 In -0.032011 -0.014718 44/1 0 31 45/1 1/0 1 31 -0.022223 In -0.022311 -0.022134 46/1 0 31 47/1 -1/2 1 31 -0.021306 In -0.029030 -0.013582 48/1 0 31 49/1 1/0 1 31 -0.020408 In -0.020483 -0.020334 50/1 0 31 -49/2 0 31 -47/2 0 31 -45/2 0 31 -43/2 0 31 -41/2 0 31 -39/2 0 31 -37/2 0 31 -35/2 0 31 -33/2 0 31 -31/2 -1/1 4 1 0.060606 In 0.000000 0.121212 -29/2 0 31 -27/2 0 31 -25/2 0 31 -23/2 0 31 -21/2 0 31 -19/2 0 31 -17/2 0 31 -15/2 0 31 -13/2 0 31 -11/2 0 31 -9/2 0 31 -7/2 0 31 -5/2 0 31 -3/2 0 31 -1/2 0 31 1/2 0 31 3/2 0 31 5/2 0 31 7/2 0 31 9/2 0 31 11/2 0 31 13/2 0 31 15/2 0 31 17/2 0 31 19/2 0 31 21/2 0 31 23/2 0 31 25/2 0 31 27/2 0 31 29/2 0 31 31/2 -1/1 4 1 -0.068966 In -0.137931 0.000000 33/2 0 31 35/2 0 31 37/2 0 31 39/2 0 31 41/2 0 31 43/2 0 31 45/2 0 31 47/2 0 31 49/2 0 31 -50/3 0 31 -49/3 1/0 1 31 0.061225 In 0.061001 0.061450 -47/3 -7/6 1 31 0.063262 In 0.042026 0.084498 -46/3 0 31 -44/3 0 31 -43/3 -1/4 1 31 0.069699 In 0.053283 0.086115 -41/3 1/0 1 31 0.073172 In 0.072852 0.073493 -40/3 0 31 -38/3 0 31 -37/3 1/0 1 31 0.081083 In 0.080689 0.081477 -35/3 1/0 1 31 0.085717 In 0.085277 0.086156 -34/3 0 31 -32/3 0 31 -31/3 -1/1 6 1 0.091099 In 0.019282 0.162917 -29/3 -3/4 1 31 0.103024 In 0.080165 0.125883 -28/3 0 31 -26/3 0 31 -25/3 1/0 1 31 0.120006 In 0.119144 0.120868 -23/3 -5/6 1 31 0.128802 In 0.086977 0.170626 -22/3 0 31 -20/3 0 31 -19/3 -3/2 1 31 0.157485 In 0.143046 0.171925 -17/3 -1/2 1 31 0.176267 In 0.156999 0.195535 -16/3 0 31 -14/3 0 31 -13/3 -1/2 1 31 0.230431 In 0.205983 0.254879 -11/3 -1/2 1 31 0.272267 In 0.244057 0.300477 -10/3 0 31 -8/3 0 31 -7/3 1/0 1 31 0.428854 In 0.417850 0.439857 -5/3 1/0 1 31 0.600775 In 0.579195 0.622356 -4/3 0 31 -2/3 0 31 -1/3 1/0 1 31 3.100000 In 2.543224 3.656776 1/3 1/0 1 31 -3.100000 In -3.656776 -2.543224 2/3 0 31 4/3 0 31 5/3 1/0 1 31 -0.600775 In -0.622356 -0.579195 7/3 1/0 1 31 -0.428854 In -0.439857 -0.417850 8/3 0 31 10/3 0 31 11/3 -3/2 1 31 -0.274987 In -0.321112 -0.228861 13/3 -3/2 1 31 -0.232314 In -0.269574 -0.195053 14/3 0 31 16/3 0 31 17/3 -3/2 1 31 -0.177318 In -0.204069 -0.150568 19/3 -1/2 1 31 -0.158088 In -0.178488 -0.137687 20/3 0 31 22/3 0 31 23/3 -7/6 1 31 -0.133394 In -0.187540 -0.079249 25/3 1/0 1 31 -0.120006 In -0.120868 -0.119144 26/3 0 31 28/3 0 31 29/3 -5/4 1 31 -0.104315 In -0.132319 -0.076312 31/3 -1/1 6 1 -0.103665 In -0.190872 -0.016458 32/3 0 31 34/3 0 31 35/3 1/0 1 31 -0.085717 In -0.086156 -0.085277 37/3 1/0 1 31 -0.081083 In -0.081477 -0.080689 38/3 0 31 40/3 0 31 41/3 1/0 1 31 -0.073172 In -0.073493 -0.072852 43/3 -7/4 1 31 -0.070316 In -0.089079 -0.051553 44/3 0 31 46/3 0 31 47/3 -5/6 1 31 -0.064291 In -0.088448 -0.040135 49/3 1/0 1 31 -0.061225 In -0.061450 -0.061001 50/3 0 31 -49/4 0 31 -47/4 0 31 -45/4 0 31 -43/4 0 31 -41/4 0 31 -39/4 0 31 -37/4 0 31 -35/4 0 31 -33/4 0 31 -31/4 -1/1 8 1 0.121721 In 0.041587 0.201855 -29/4 0 31 -27/4 0 31 -25/4 0 31 -23/4 0 31 -21/4 0 31 -19/4 0 31 -17/4 0 31 -15/4 0 31 -13/4 0 31 -11/4 0 31 -9/4 0 31 -7/4 0 31 -5/4 0 31 -3/4 0 31 -1/4 0 31 1/4 0 31 3/4 0 31 5/4 0 31 7/4 0 31 9/4 0 31 11/4 0 31 13/4 0 31 15/4 0 31 17/4 0 31 19/4 0 31 21/4 0 31 23/4 0 31 25/4 0 31 27/4 0 31 29/4 0 31 31/4 -1/1 8 1 -0.138510 In -0.242387 -0.034633 33/4 0 31 35/4 0 31 37/4 0 31 39/4 0 31 41/4 0 31 43/4 0 31 45/4 0 31 47/4 0 31 49/4 0 31 -49/5 -1/2 1 31 0.102015 In 0.095058 0.108972 -48/5 0 31 -47/5 1/0 1 31 0.106385 In 0.105978 0.106791 -46/5 0 31 -44/5 0 31 -43/5 -1/2 1 31 0.116246 In 0.108378 0.124114 -42/5 0 31 -41/5 -3/2 1 31 0.121857 In 0.114697 0.129017 -39/5 -11/10 1 31 0.126196 In 0.086536 0.165856 -38/5 0 31 -37/5 -1/2 1 31 0.135091 In 0.126039 0.144144 -36/5 0 31 -34/5 0 31 -33/5 -1/2 1 31 0.151460 In 0.141400 0.161521 -32/5 0 31 -31/5 -1/1 10 1 0.152471 In 0.066016 0.238927 -29/5 -5/6 1 31 0.171427 In 0.139576 0.203279 -28/5 0 31 -27/5 -1/2 1 31 0.185105 In 0.173032 0.197178 -26/5 0 31 -24/5 0 31 -23/5 -1/2 1 31 0.217283 In 0.203361 0.231204 -22/5 0 31 -21/5 -1/2 1 31 0.237966 In 0.222896 0.253036 -19/5 -1/2 1 31 0.263003 In 0.246583 0.279422 -18/5 0 31 -17/5 1/0 1 31 0.294150 In 0.291043 0.297258 -16/5 0 31 -14/5 0 31 -13/5 1/0 1 31 0.384689 In 0.379374 0.390004 -12/5 0 31 -11/5 -1/2 1 31 0.454133 In 0.428893 0.479374 -9/5 -1/2 1 31 0.554980 In 0.526143 0.583817 -8/5 0 31 -7/5 1/0 1 31 0.714756 In 0.696417 0.733095 -6/5 0 31 -4/5 0 31 -3/5 1/0 1 31 1.672662 In 1.572522 1.772802 -2/5 0 31 -1/5 1/0 1 31 5.166667 In 4.238706 6.094627 1/5 1/0 1 31 -5.166667 In -6.094627 -4.238706 2/5 0 31 3/5 1/0 1 31 -1.672662 In -1.772802 -1.572522 4/5 0 31 6/5 0 31 7/5 1/0 1 31 -0.714756 In -0.733095 -0.696417 8/5 0 31 9/5 -3/2 1 31 -0.559952 In -0.633388 -0.486516 11/5 -3/2 1 31 -0.457242 In -0.512295 -0.402189 12/5 0 31 13/5 1/0 1 31 -0.384689 In -0.390004 -0.379374 14/5 0 31 16/5 0 31 17/5 1/0 1 31 -0.294150 In -0.297258 -0.291043 18/5 0 31 19/5 -3/2 1 31 -0.263906 In -0.290296 -0.237516 21/5 -3/2 1 31 -0.238691 In -0.261921 -0.215462 22/5 0 31 23/5 -3/2 1 31 -0.217877 In -0.238599 -0.197155 24/5 0 31 26/5 0 31 27/5 -3/2 1 31 -0.185525 In -0.202531 -0.168518 28/5 0 31 29/5 -7/6 1 31 -0.174352 In -0.219071 -0.129634 31/5 -1/1 10 1 -0.173502 In -0.293209 -0.053794 32/5 0 31 33/5 -3/2 1 31 -0.151733 In -0.165096 -0.138371 34/5 0 31 36/5 0 31 37/5 -3/2 1 31 -0.135305 In -0.146984 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0.180318 -38/7 0 31 -37/7 1/0 1 31 0.189194 In 0.188275 0.190112 -36/7 0 31 -34/7 0 31 -33/7 3/2 1 31 0.212356 In 0.198003 0.226708 -32/7 0 31 -31/7 -1/1 3 1 0.223382 In 0.179990 0.266774 -30/7 0 31 -29/7 -1/8 1 31 0.241082 In 0.193029 0.289135 -27/7 1/0 1 31 0.259271 In 0.257546 0.260995 -26/7 0 31 -25/7 1/0 1 31 0.280014 In 0.278003 0.282026 -24/7 0 31 -23/7 -1/2 1 31 0.304244 In 0.291002 0.317486 -22/7 0 31 -20/7 0 31 -19/7 1/0 1 31 0.368454 In 0.364971 0.371937 -18/7 0 31 -17/7 -3/2 1 31 0.411508 In 0.403421 0.419596 -16/7 0 31 -15/7 1/0 1 31 0.466734 In 0.461145 0.472322 -13/7 1/0 1 31 0.538564 In 0.531124 0.546005 -12/7 0 31 -11/7 -1/2 1 31 0.636000 In 0.613729 0.658271 -10/7 0 31 -9/7 1/2 1 31 0.778884 In 0.723429 0.834340 -8/7 0 31 -6/7 0 31 -5/7 1/0 1 31 1.401809 In 1.351454 1.452163 -4/7 0 31 -3/7 1/0 1 31 2.341727 In 2.201531 2.481922 -2/7 0 31 -1/7 1/0 1 31 7.233333 In 5.934188 8.532478 1/7 1/0 1 31 -7.233333 In -8.532478 -5.934188 2/7 0 31 3/7 1/0 1 31 -2.341727 In 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