SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 1 -50/1 0/1 1 29 0.020000 In 0.016286 0.023714 -49/1 1/0 1 29 0.020408 In 0.020331 0.020486 -48/1 0/1 1 29 0.020833 In 0.016965 0.024702 -47/1 1/0 1 29 0.021277 In 0.021193 0.021361 -46/1 0/1 1 29 0.021739 In 0.017702 0.025776 -45/1 1/0 1 29 0.022223 In 0.022131 0.022314 -44/1 0/1 1 29 0.022727 In 0.018507 0.026948 -43/1 1/0 1 29 0.023256 In 0.023156 0.023357 -42/1 0/1 1 29 0.023810 In 0.019388 0.028231 -41/1 1/0 1 29 0.024391 In 0.024280 0.024501 -40/1 0/1 1 29 0.025000 In 0.020358 0.029642 -39/1 1/0 1 29 0.025642 In 0.025520 0.025764 -38/1 0/1 1 29 0.026316 In 0.021429 0.031203 -37/1 1/0 1 29 0.027028 In 0.026892 0.027163 -36/1 0/1 1 29 0.027778 In 0.022620 0.032936 -35/1 1/0 1 29 0.028572 In 0.028421 0.028724 -34/1 0/1 1 29 0.029412 In 0.023950 0.034873 -33/1 1/0 1 29 0.030304 In 0.030133 0.030475 -32/1 0/1 1 29 0.031250 In 0.025447 0.037053 -31/1 1/0 1 29 0.032259 In 0.032066 0.032452 -30/1 0/1 1 29 0.033333 In 0.027143 0.039523 -29/1 1/0 1 29 0.034484 In 0.034263 0.034705 -28/1 0/1 1 29 0.035714 In 0.029082 0.042346 -27/1 1/0 1 29 0.037039 In 0.036784 0.037294 -26/1 0/1 1 29 0.038462 In 0.031319 0.045604 -25/1 1/0 1 29 0.040002 In 0.039705 0.040299 -24/1 0/1 1 29 0.041667 In 0.033929 0.049404 -23/1 1/0 1 29 0.043481 In 0.043130 0.043832 -22/1 0/1 1 29 0.045455 In 0.037014 0.053895 -21/1 1/0 1 29 0.047623 In 0.047202 0.048044 -20/1 0/1 1 29 0.050000 In 0.040715 0.059285 -19/1 1/0 1 29 0.052637 In 0.052122 0.053151 -18/1 0/1 1 29 0.055556 In 0.045239 0.065872 -17/1 1/0 1 29 0.058831 In 0.058188 0.059473 -16/1 0/1 1 29 0.062500 In 0.050894 0.074106 -15/1 1/0 1 29 0.066677 In 0.065851 0.067502 -14/1 0/1 1 29 0.071429 In 0.058165 0.084693 -13/1 1/0 1 29 0.076939 In 0.075840 0.078038 -12/1 0/1 1 29 0.083333 In 0.067859 0.098808 -11/1 1/0 1 29 0.090935 In 0.089400 0.092470 -10/1 0/1 1 29 0.100000 In 0.081430 0.118570 -9/1 1/0 1 29 0.111158 In 0.108865 0.113452 -8/1 0/1 1 29 0.125000 In 0.101788 0.148212 -7/1 1/0 1 29 0.142958 In 0.139165 0.146750 -6/1 0/1 1 29 0.166667 In 0.135717 0.197616 -5/1 1/0 1 29 0.200276 In 0.192838 0.207714 -4/1 0/1 1 29 0.250000 In 0.203576 0.296424 -3/1 1/0 1 29 0.334615 In 0.313903 0.355328 -2/1 0/1 1 29 0.500000 In 0.407152 0.592848 -1/1 1/0 1 29 1.035714 In 0.843387 1.228042 0/1 0/1 1 29 1/1 1/0 1 29 -1.035714 In -1.228042 -0.843387 2/1 0/1 1 29 -0.500000 In -0.592848 -0.407152 3/1 1/0 1 29 -0.334615 In -0.355328 -0.313903 4/1 0/1 1 29 -0.250000 In -0.296424 -0.203576 5/1 1/0 1 29 -0.200276 In -0.207714 -0.192838 6/1 0/1 1 29 -0.166667 In -0.197616 -0.135717 7/1 1/0 1 29 -0.142958 In -0.146750 -0.139165 8/1 0/1 1 29 -0.125000 In -0.148212 -0.101788 9/1 1/0 1 29 -0.111158 In -0.113452 -0.108865 10/1 0/1 1 29 -0.100000 In -0.118570 -0.081430 11/1 1/0 1 29 -0.090935 In -0.092470 -0.089400 12/1 0/1 1 29 -0.083333 In -0.098808 -0.067859 13/1 1/0 1 29 -0.076939 In -0.078038 -0.075840 14/1 0/1 1 29 -0.071429 In -0.084693 -0.058165 15/1 1/0 1 29 -0.066677 In -0.067502 -0.065851 16/1 0/1 1 29 -0.062500 In -0.074106 -0.050894 17/1 1/0 1 29 -0.058831 In -0.059473 -0.058188 18/1 0/1 1 29 -0.055556 In -0.065872 -0.045239 19/1 1/0 1 29 -0.052637 In -0.053151 -0.052122 20/1 0/1 1 29 -0.050000 In -0.059285 -0.040715 21/1 1/0 1 29 -0.047623 In -0.048044 -0.047202 22/1 0/1 1 29 -0.045455 In -0.053895 -0.037014 23/1 1/0 1 29 -0.043481 In -0.043832 -0.043130 24/1 0/1 1 29 -0.041667 In -0.049404 -0.033929 25/1 1/0 1 29 -0.040002 In -0.040299 -0.039705 26/1 0/1 1 29 -0.038462 In -0.045604 -0.031319 27/1 1/0 1 29 -0.037039 In -0.037294 -0.036784 28/1 0/1 1 29 -0.035714 In -0.042346 -0.029082 29/1 1/0 1 29 -0.034484 In -0.034705 -0.034263 30/1 0/1 1 29 -0.033333 In -0.039523 -0.027143 31/1 1/0 1 29 -0.032259 In -0.032452 -0.032066 32/1 0/1 1 29 -0.031250 In -0.037053 -0.025447 33/1 1/0 1 29 -0.030304 In -0.030475 -0.030133 34/1 0/1 1 29 -0.029412 In -0.034873 -0.023950 35/1 1/0 1 29 -0.028572 In -0.028724 -0.028421 36/1 0/1 1 29 -0.027778 In -0.032936 -0.022620 37/1 1/0 1 29 -0.027028 In -0.027163 -0.026892 38/1 0/1 1 29 -0.026316 In -0.031203 -0.021429 39/1 1/0 1 29 -0.025642 In -0.025764 -0.025520 40/1 0/1 1 29 -0.025000 In -0.029642 -0.020358 41/1 1/0 1 29 -0.024391 In -0.024501 -0.024280 42/1 0/1 1 29 -0.023810 In -0.028231 -0.019388 43/1 1/0 1 29 -0.023256 In -0.023357 -0.023156 44/1 0/1 1 29 -0.022727 In -0.026948 -0.018507 45/1 1/0 1 29 -0.022223 In -0.022314 -0.022131 46/1 0/1 1 29 -0.021739 In -0.025776 -0.017702 47/1 1/0 1 29 -0.021277 In -0.021361 -0.021193 48/1 0/1 1 29 -0.020833 In -0.024702 -0.016965 49/1 1/0 1 29 -0.020408 In -0.020486 -0.020331 50/1 0/1 1 29 -0.020000 In -0.023714 -0.016286 -49/2 -1/1 1 29 0.040803 In 0.037167 0.044438 -47/2 1/1 1 29 0.042569 In 0.038450 0.046689 -45/2 -1/1 1 29 0.044428 In 0.040485 0.048371 -43/2 1/1 1 29 0.046531 In 0.042012 0.051051 -41/2 -1/1 1 29 0.048761 In 0.044453 0.053069 -39/2 1/1 1 29 0.051306 In 0.046300 0.056312 -37/2 -1/1 1 29 0.054030 In 0.049283 0.058778 -35/2 1/1 1 29 0.057173 In 0.051564 0.062782 -33/2 -1/1 1 29 0.060576 In 0.055290 0.065863 -31/2 1/1 1 29 0.064554 In 0.058177 0.070931 -29/2 -1/1 1 29 0.068927 In 0.062965 0.074889 -27/2 1/1 1 29 0.074125 In 0.066737 0.081512 -25/2 -1/1 1 29 0.079949 In 0.073115 0.086783 -23/2 1/1 1 29 0.087027 In 0.078251 0.095804 -21/2 -1/1 1 29 0.095167 In 0.087166 0.103168 -19/2 1/1 1 29 0.105369 In 0.094565 0.116172 -17/2 -1/1 1 29 0.117542 In 0.107902 0.127181 -15/2 1/1 1 29 0.133507 In 0.119475 0.147540 -13/2 -1/1 1 29 0.153673 In 0.141584 0.165763 -11/2 1/1 1 29 0.182155 In 0.162199 0.202112 -9/2 -1/1 1 29 0.221891 In 0.205836 0.237946 -7/2 1/1 1 29 0.286620 In 0.252488 0.320751 -5/2 -1/1 1 29 0.399171 In 0.376857 0.421485 -3/2 1/1 1 29 0.673077 In 0.569516 0.776638 -1/2 -1/1 1 29 2.035714 In 1.843387 2.228042 1/2 1/1 1 29 -2.035714 In -2.228042 -1.843387 3/2 -1/1 1 29 -0.673077 In -0.776638 -0.569516 5/2 1/1 1 29 -0.399171 In -0.421485 -0.376857 7/2 -1/1 1 29 -0.286620 In -0.320751 -0.252488 9/2 1/1 1 29 -0.221891 In -0.237946 -0.205836 11/2 -1/1 1 29 -0.182155 In -0.202112 -0.162199 13/2 1/1 1 29 -0.153673 In -0.165763 -0.141584 15/2 -1/1 1 29 -0.133507 In -0.147540 -0.119475 17/2 1/1 1 29 -0.117542 In -0.127181 -0.107902 19/2 -1/1 1 29 -0.105369 In -0.116172 -0.094565 21/2 1/1 1 29 -0.095167 In -0.103168 -0.087166 23/2 -1/1 1 29 -0.087027 In -0.095804 -0.078251 25/2 1/1 1 29 -0.079949 In -0.086783 -0.073115 27/2 -1/1 1 29 -0.074125 In -0.081512 -0.066737 29/2 1/1 1 29 -0.068927 In -0.074889 -0.062965 31/2 -1/1 1 29 -0.064554 In -0.070931 -0.058177 33/2 1/1 1 29 -0.060576 In -0.065863 -0.055290 35/2 -1/1 1 29 -0.057173 In -0.062782 -0.051564 37/2 1/1 1 29 -0.054030 In -0.058778 -0.049283 39/2 -1/1 1 29 -0.051306 In -0.056312 -0.046300 41/2 1/1 1 29 -0.048761 In -0.053069 -0.044453 43/2 -1/1 1 29 -0.046531 In -0.051051 -0.042012 45/2 1/1 1 29 -0.044428 In -0.048371 -0.040485 47/2 -1/1 1 29 -0.042569 In -0.046689 -0.038450 49/2 1/1 1 29 -0.040803 In -0.044438 -0.037167 -50/3 0/1 1 29 0.060000 In 0.056286 0.063714 -49/3 1/0 1 29 0.061225 In 0.060993 0.061457 -47/3 1/0 1 29 0.063831 In 0.063579 0.064083 -46/3 0/1 1 29 0.065217 In 0.061181 0.069254 -44/3 0/1 1 29 0.068182 In 0.063961 0.072402 -43/3 1/0 1 29 0.069769 In 0.069467 0.070070 -41/3 1/0 1 29 0.073172 In 0.072841 0.073504 -40/3 0/1 1 29 0.075000 In 0.070358 0.079642 -38/3 0/1 1 29 0.078947 In 0.074061 0.083834 -37/3 1/0 1 29 0.081083 In 0.080676 0.081490 -35/3 1/0 1 29 0.085717 In 0.085262 0.086171 -34/3 0/1 1 29 0.088235 In 0.082774 0.093697 -32/3 0/1 1 29 0.093750 In 0.087947 0.099553 -31/3 1/0 1 29 0.096778 In 0.096198 0.097357 -29/3 1/0 1 29 0.103453 In 0.102790 0.104115 -28/3 0/1 1 29 0.107143 In 0.100511 0.113775 -26/3 0/1 1 29 0.115385 In 0.108242 0.122527 -25/3 1/0 1 29 0.120007 In 0.119115 0.120898 -23/3 1/0 1 29 0.130443 In 0.129390 0.131496 -22/3 0/1 1 29 0.136364 In 0.127923 0.144804 -20/3 0/1 1 29 0.150000 In 0.140715 0.159285 -19/3 1/0 1 29 0.157910 In 0.156366 0.159453 -17/3 1/0 1 29 0.176492 In 0.174564 0.178420 -16/3 0/1 1 29 0.187500 In 0.175894 0.199106 -14/3 0/1 1 29 0.214286 In 0.201022 0.227550 -13/3 1/0 1 29 0.230816 In 0.227519 0.234113 -11/3 1/0 1 29 0.272805 In 0.268200 0.277410 -10/3 0/1 1 29 0.300000 In 0.281430 0.318570 -8/3 0/1 1 29 0.375000 In 0.351788 0.398212 -7/3 1/0 1 29 0.428873 In 0.417496 0.440250 -5/3 1/0 1 29 0.600829 In 0.578515 0.623143 -4/3 0/1 1 29 0.750000 In 0.703576 0.796424 -2/3 0/1 1 29 1.500000 In 1.407152 1.592848 -1/3 1/0 1 29 3.107143 In 2.530161 3.684125 1/3 1/0 1 29 -3.107143 In -3.684125 -2.530161 2/3 0/1 1 29 -1.500000 In -1.592848 -1.407152 4/3 0/1 1 29 -0.750000 In -0.796424 -0.703576 5/3 1/0 1 29 -0.600829 In -0.623143 -0.578515 7/3 1/0 1 29 -0.428873 In -0.440250 -0.417496 8/3 0/1 1 29 -0.375000 In -0.398212 -0.351788 10/3 0/1 1 29 -0.300000 In -0.318570 -0.281430 11/3 1/0 1 29 -0.272805 In -0.277410 -0.268200 13/3 1/0 1 29 -0.230816 In -0.234113 -0.227519 14/3 0/1 1 29 -0.214286 In -0.227550 -0.201022 16/3 0/1 1 29 -0.187500 In -0.199106 -0.175894 17/3 1/0 1 29 -0.176492 In -0.178420 -0.174564 19/3 1/0 1 29 -0.157910 In -0.159453 -0.156366 20/3 0/1 1 29 -0.150000 In -0.159285 -0.140715 22/3 0/1 1 29 -0.136364 In -0.144804 -0.127923 23/3 1/0 1 29 -0.130443 In -0.131496 -0.129390 25/3 1/0 1 29 -0.120007 In -0.120898 -0.119115 26/3 0/1 1 29 -0.115385 In -0.122527 -0.108242 28/3 0/1 1 29 -0.107143 In -0.113775 -0.100511 29/3 1/0 1 29 -0.103453 In -0.104115 -0.102790 31/3 1/0 1 29 -0.096778 In -0.097357 -0.096198 32/3 0/1 1 29 -0.093750 In -0.099553 -0.087947 34/3 0/1 1 29 -0.088235 In -0.093697 -0.082774 35/3 1/0 1 29 -0.085717 In -0.086171 -0.085262 37/3 1/0 1 29 -0.081083 In -0.081490 -0.080676 38/3 0/1 1 29 -0.078947 In -0.083834 -0.074061 40/3 0/1 1 29 -0.075000 In -0.079642 -0.070358 41/3 1/0 1 29 -0.073172 In -0.073504 -0.072841 43/3 1/0 1 29 -0.069769 In -0.070070 -0.069467 44/3 0/1 1 29 -0.068182 In -0.072402 -0.063961 46/3 0/1 1 29 -0.065217 In -0.069254 -0.061181 47/3 1/0 1 29 -0.063831 In -0.064083 -0.063579 49/3 1/0 1 29 -0.061225 In -0.061457 -0.060993 50/3 0/1 1 29 -0.060000 In -0.063714 -0.056286 -49/4 -1/1 1 29 0.081619 In 0.078139 0.085100 -47/4 1/1 1 29 0.085123 In 0.080836 0.089411 -45/4 1/1 1 29 0.088907 In 0.084414 0.093401 -43/4 -1/1 1 29 0.093006 In 0.089089 0.096923 -41/4 -1/1 1 29 0.097542 In 0.093455 0.101630 -39/4 1/1 1 29 0.102589 In 0.097339 0.107839 -37/4 1/1 1 29 0.108136 In 0.102575 0.113698 -35/4 -1/1 1 29 0.114261 In 0.109561 0.118960 -33/4 -1/1 1 29 0.121184 In 0.116239 0.126130 -31/4 1/1 1 29 0.129073 In 0.122309 0.135836 -29/4 1/1 1 29 0.137978 In 0.130691 0.145264 -27/4 -1/1 1 29 0.148108 In 0.142249 0.153967 -25/4 -1/1 1 29 0.159954 In 0.153714 0.166193 -23/4 1/1 1 29 0.173990 In 0.164511 0.183468 -21/4 1/1 1 29 0.190569 In 0.180042 0.201097 -19/4 -1/1 1 29 0.210451 In 0.202734 0.218168 -17/4 -1/1 1 29 0.235203 In 0.226849 0.243557 -15/4 1/1 1 29 0.266861 In 0.251177 0.282544 -13/4 1/1 1 29 0.307959 In 0.289276 0.326642 -11/4 -1/1 1 29 0.363455 In 0.352709 0.374201 -9/4 -1/1 1 29 0.444208 In 0.432740 0.455675 -7/4 1/1 1 29 0.572535 In 0.530819 0.614251 -5/4 1/1 1 29 0.802486 In 0.735544 0.869429 -3/4 -1/1 1 29 1.334615 In 1.313903 1.355328 -1/4 -1/1 1 29 4.107143 In 3.530161 4.684125 1/4 1/1 1 29 -4.107143 In -4.684125 -3.530161 3/4 1/1 1 29 -1.334615 In -1.355328 -1.313903 5/4 -1/1 1 29 -0.802486 In -0.869429 -0.735544 7/4 -1/1 1 29 -0.572535 In -0.614251 -0.530819 9/4 1/1 1 29 -0.444208 In -0.455675 -0.432740 11/4 1/1 1 29 -0.363455 In -0.374201 -0.352709 13/4 -1/1 1 29 -0.307959 In -0.326642 -0.289276 15/4 -1/1 1 29 -0.266861 In -0.282544 -0.251177 17/4 1/1 1 29 -0.235203 In -0.243557 -0.226849 19/4 1/1 1 29 -0.210451 In -0.218168 -0.202734 21/4 -1/1 1 29 -0.190569 In -0.201097 -0.180042 23/4 -1/1 1 29 -0.173990 In -0.183468 -0.164511 25/4 1/1 1 29 -0.159954 In -0.166193 -0.153714 27/4 1/1 1 29 -0.148108 In -0.153967 -0.142249 29/4 -1/1 1 29 -0.137978 In -0.145264 -0.130691 31/4 -1/1 1 29 -0.129073 In -0.135836 -0.122309 33/4 1/1 1 29 -0.121184 In -0.126130 -0.116239 35/4 1/1 1 29 -0.114261 In -0.118960 -0.109561 37/4 -1/1 1 29 -0.108136 In -0.113698 -0.102575 39/4 -1/1 1 29 -0.102589 In -0.107839 -0.097339 41/4 1/1 1 29 -0.097542 In -0.101630 -0.093455 43/4 1/1 1 29 -0.093006 In -0.096923 -0.089089 45/4 -1/1 1 29 -0.088907 In -0.093401 -0.084414 47/4 -1/1 1 29 -0.085123 In -0.089411 -0.080836 49/4 1/1 1 29 -0.081619 In -0.085100 -0.078139 -49/5 1/2 1 29 0.102071 In 0.094105 0.110037 -48/5 0/1 1 29 0.104167 In 0.100298 0.108035 -47/5 1/0 1 29 0.106385 In 0.105964 0.106805 -46/5 2/1 1 29 0.108735 In 0.103821 0.113650 -44/5 -2/1 1 29 0.113609 In 0.110347 0.116870 -43/5 1/0 1 29 0.116281 In 0.115779 0.116783 -42/5 0/1 1 29 0.119048 In 0.114626 0.123469 -41/5 -1/2 1 29 0.121913 In 0.113407 0.130419 -39/5 1/2 1 29 0.128253 In 0.118120 0.138387 -38/5 0/1 1 29 0.131579 In 0.126692 0.136466 -37/5 1/0 1 29 0.135139 In 0.134460 0.135817 -36/5 2/1 1 29 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