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 23 0.020000 In 0.015830 0.024170 -49/1 1/0 1 23 0.020409 In 0.020322 0.020495 -48/1 0/1 1 23 0.020833 In 0.016489 0.025177 -47/1 1/0 1 23 0.021277 In 0.021183 0.021371 -46/1 0/1 1 23 0.021739 In 0.017206 0.026272 -45/1 1/0 1 23 0.022223 In 0.022120 0.022326 -44/1 0/1 1 23 0.022727 In 0.017988 0.027466 -43/1 1/0 1 23 0.023256 In 0.023144 0.023369 -42/1 0/1 1 23 0.023810 In 0.018845 0.028774 -41/1 1/0 1 23 0.024391 In 0.024267 0.024515 -40/1 0/1 1 23 0.025000 In 0.019787 0.030213 -39/1 1/0 1 23 0.025642 In 0.025505 0.025779 -38/1 0/1 1 23 0.026316 In 0.020829 0.031803 -37/1 1/0 1 23 0.027028 In 0.026876 0.027180 -36/1 0/1 1 23 0.027778 In 0.021986 0.033570 -35/1 1/0 1 23 0.028572 In 0.028402 0.028743 -34/1 0/1 1 23 0.029412 In 0.023279 0.035545 -33/1 1/0 1 23 0.030304 In 0.030113 0.030496 -32/1 0/1 1 23 0.031250 In 0.024734 0.037766 -31/1 1/0 1 23 0.032260 In 0.032043 0.032477 -30/1 0/1 1 23 0.033333 In 0.026383 0.040284 -29/1 1/0 1 23 0.034485 In 0.034237 0.034732 -28/1 0/1 1 23 0.035714 In 0.028267 0.043161 -27/1 1/0 1 23 0.037039 In 0.036753 0.037325 -26/1 0/1 1 23 0.038462 In 0.030442 0.046481 -25/1 1/0 1 23 0.040003 In 0.039669 0.040336 -24/1 0/1 1 23 0.041667 In 0.032979 0.050355 -23/1 1/0 1 23 0.043482 In 0.043088 0.043876 -22/1 0/1 1 23 0.045455 In 0.035977 0.054932 -21/1 1/0 1 23 0.047624 In 0.047151 0.048097 -20/1 0/1 1 23 0.050000 In 0.039574 0.060426 -19/1 1/0 1 23 0.052638 In 0.052060 0.053216 -18/1 0/1 1 23 0.055556 In 0.043971 0.067140 -17/1 1/0 1 23 0.058832 In 0.058111 0.059554 -16/1 0/1 1 23 0.062500 In 0.049468 0.075532 -15/1 1/0 1 23 0.066680 In 0.065753 0.067606 -14/1 0/1 1 23 0.071429 In 0.056535 0.086322 -13/1 1/0 1 23 0.076943 In 0.075709 0.078177 -12/1 0/1 1 23 0.083333 In 0.065957 0.100710 -11/1 1/0 1 23 0.090942 In 0.089218 0.092666 -10/1 0/1 1 23 0.100000 In 0.079149 0.120851 -9/1 1/0 1 23 0.111171 In 0.108595 0.113746 -8/1 0/1 1 23 0.125000 In 0.098936 0.151064 -7/1 1/0 1 23 0.142984 In 0.138725 0.147243 -6/1 0/1 1 23 0.166667 In 0.131914 0.201419 -5/1 1/0 1 23 0.200348 In 0.191993 0.208704 -4/1 0/1 1 23 0.250000 In 0.197871 0.302129 -3/1 1/0 1 23 0.334951 In 0.311671 0.358232 -2/1 0/1 1 23 0.500000 In 0.395743 0.604257 -1/1 1/0 1 23 1.045455 In 0.827462 1.263447 0/1 0/1 1 23 1/1 1/0 1 23 -1.045455 In -1.263447 -0.827462 2/1 0/1 1 23 -0.500000 In -0.604257 -0.395743 3/1 1/0 1 23 -0.334951 In -0.358232 -0.311671 4/1 0/1 1 23 -0.250000 In -0.302129 -0.197871 5/1 1/0 1 23 -0.200348 In -0.208704 -0.191993 6/1 0/1 1 23 -0.166667 In -0.201419 -0.131914 7/1 1/0 1 23 -0.142984 In -0.147243 -0.138725 8/1 0/1 1 23 -0.125000 In -0.151064 -0.098936 9/1 1/0 1 23 -0.111171 In -0.113746 -0.108595 10/1 0/1 1 23 -0.100000 In -0.120851 -0.079149 11/1 1/0 1 23 -0.090942 In -0.092666 -0.089218 12/1 0/1 1 23 -0.083333 In -0.100710 -0.065957 13/1 1/0 1 23 -0.076943 In -0.078177 -0.075709 14/1 0/1 1 23 -0.071429 In -0.086322 -0.056535 15/1 1/0 1 23 -0.066680 In -0.067606 -0.065753 16/1 0/1 1 23 -0.062500 In -0.075532 -0.049468 17/1 1/0 1 23 -0.058832 In -0.059554 -0.058111 18/1 0/1 1 23 -0.055556 In -0.067140 -0.043971 19/1 1/0 1 23 -0.052638 In -0.053216 -0.052060 20/1 0/1 1 23 -0.050000 In -0.060426 -0.039574 21/1 1/0 1 23 -0.047624 In -0.048097 -0.047151 22/1 0/1 1 23 -0.045455 In -0.054932 -0.035977 23/1 1/0 1 23 -0.043482 In -0.043876 -0.043088 24/1 0/1 1 23 -0.041667 In -0.050355 -0.032979 25/1 1/0 1 23 -0.040003 In -0.040336 -0.039669 26/1 0/1 1 23 -0.038462 In -0.046481 -0.030442 27/1 1/0 1 23 -0.037039 In -0.037325 -0.036753 28/1 0/1 1 23 -0.035714 In -0.043161 -0.028267 29/1 1/0 1 23 -0.034485 In -0.034732 -0.034237 30/1 0/1 1 23 -0.033333 In -0.040284 -0.026383 31/1 1/0 1 23 -0.032260 In -0.032477 -0.032043 32/1 0/1 1 23 -0.031250 In -0.037766 -0.024734 33/1 1/0 1 23 -0.030304 In -0.030496 -0.030113 34/1 0/1 1 23 -0.029412 In -0.035545 -0.023279 35/1 1/0 1 23 -0.028572 In -0.028743 -0.028402 36/1 0/1 1 23 -0.027778 In -0.033570 -0.021986 37/1 1/0 1 23 -0.027028 In -0.027180 -0.026876 38/1 0/1 1 23 -0.026316 In -0.031803 -0.020829 39/1 1/0 1 23 -0.025642 In -0.025779 -0.025505 40/1 0/1 1 23 -0.025000 In -0.030213 -0.019787 41/1 1/0 1 23 -0.024391 In -0.024515 -0.024267 42/1 0/1 1 23 -0.023810 In -0.028774 -0.018845 43/1 1/0 1 23 -0.023256 In -0.023369 -0.023144 44/1 0/1 1 23 -0.022727 In -0.027466 -0.017988 45/1 1/0 1 23 -0.022223 In -0.022326 -0.022120 46/1 0/1 1 23 -0.021739 In -0.026272 -0.017206 47/1 1/0 1 23 -0.021277 In -0.021371 -0.021183 48/1 0/1 1 23 -0.020833 In -0.025177 -0.016489 49/1 1/0 1 23 -0.020409 In -0.020495 -0.020322 50/1 0/1 1 23 -0.020000 In -0.024170 -0.015830 -49/2 1/1 1 23 0.040835 In 0.036406 0.045264 -47/2 -1/1 1 23 0.042534 In 0.038287 0.046782 -45/2 1/1 1 23 0.044467 In 0.039627 0.049307 -43/2 -1/1 1 23 0.046489 In 0.041865 0.051113 -41/2 1/1 1 23 0.048808 In 0.043474 0.054142 -39/2 -1/1 1 23 0.051255 In 0.046182 0.056327 -37/2 1/1 1 23 0.054088 In 0.048147 0.060028 -35/2 -1/1 1 23 0.057109 In 0.051492 0.062727 -33/2 1/1 1 23 0.060648 In 0.053947 0.067350 -31/2 -1/1 1 23 0.064474 In 0.058181 0.070766 -29/2 1/1 1 23 0.069021 In 0.061334 0.076707 -27/2 -1/1 1 23 0.074019 In 0.066868 0.081170 -25/2 1/1 1 23 0.080075 In 0.071067 0.089084 -23/2 -1/1 1 23 0.086881 In 0.078603 0.095160 -21/2 1/1 1 23 0.095346 In 0.084470 0.106222 -19/2 -1/1 1 23 0.105155 In 0.095335 0.114976 -17/2 1/1 1 23 0.117815 In 0.104105 0.131526 -15/2 -1/1 1 23 0.133166 In 0.121116 0.145216 -13/2 1/1 1 23 0.154143 In 0.135631 0.172655 -11/2 -1/1 1 23 0.181524 In 0.166009 0.197039 -9/2 1/1 1 23 0.222879 In 0.194547 0.251211 -7/2 -1/1 1 23 0.285080 In 0.263784 0.306376 -5/2 1/1 1 23 0.402439 In 0.343953 0.460925 -3/2 -1/1 1 23 0.665049 In 0.641768 0.688329 -1/2 1/1 1 23 2.136364 In 1.482387 2.790341 1/2 -1/1 1 23 -2.136364 In -2.790341 -1.482387 3/2 1/1 1 23 -0.665049 In -0.688329 -0.641768 5/2 -1/1 1 23 -0.402439 In -0.460925 -0.343953 7/2 1/1 1 23 -0.285080 In -0.306376 -0.263784 9/2 -1/1 1 23 -0.222879 In -0.251211 -0.194547 11/2 1/1 1 23 -0.181524 In -0.197039 -0.166009 13/2 -1/1 1 23 -0.154143 In -0.172655 -0.135631 15/2 1/1 1 23 -0.133166 In -0.145216 -0.121116 17/2 -1/1 1 23 -0.117815 In -0.131526 -0.104105 19/2 1/1 1 23 -0.105155 In -0.114976 -0.095335 21/2 -1/1 1 23 -0.095346 In -0.106222 -0.084470 23/2 1/1 1 23 -0.086881 In -0.095160 -0.078603 25/2 -1/1 1 23 -0.080075 In -0.089084 -0.071067 27/2 1/1 1 23 -0.074019 In -0.081170 -0.066868 29/2 -1/1 1 23 -0.069021 In -0.076707 -0.061334 31/2 1/1 1 23 -0.064474 In -0.070766 -0.058181 33/2 -1/1 1 23 -0.060648 In -0.067350 -0.053947 35/2 1/1 1 23 -0.057109 In -0.062727 -0.051492 37/2 -1/1 1 23 -0.054088 In -0.060028 -0.048147 39/2 1/1 1 23 -0.051255 In -0.056327 -0.046182 41/2 -1/1 1 23 -0.048808 In -0.054142 -0.043474 43/2 1/1 1 23 -0.046489 In -0.051113 -0.041865 45/2 -1/1 1 23 -0.044467 In -0.049307 -0.039627 47/2 1/1 1 23 -0.042534 In -0.046782 -0.038287 49/2 -1/1 1 23 -0.040835 In -0.045264 -0.036406 -50/3 0/1 1 23 0.060000 In 0.055830 0.064170 -49/3 1/0 1 23 0.061226 In 0.060965 0.061486 -47/3 1/0 1 23 0.063831 In 0.063548 0.064114 -46/3 0/1 1 23 0.065217 In 0.060684 0.069750 -44/3 0/1 1 23 0.068182 In 0.063443 0.072921 -43/3 1/0 1 23 0.069769 In 0.069431 0.070107 -41/3 1/0 1 23 0.073173 In 0.072800 0.073545 -40/3 0/1 1 23 0.075000 In 0.069787 0.080213 -38/3 0/1 1 23 0.078947 In 0.073460 0.084435 -37/3 1/0 1 23 0.081084 In 0.080627 0.081541 -35/3 1/0 1 23 0.085717 In 0.085207 0.086228 -34/3 0/1 1 23 0.088235 In 0.082103 0.094368 -32/3 0/1 1 23 0.093750 In 0.087234 0.100266 -31/3 1/0 1 23 0.096779 In 0.096128 0.097430 -29/3 1/0 1 23 0.103454 In 0.102710 0.104197 -28/3 0/1 1 23 0.107143 In 0.099696 0.114590 -26/3 0/1 1 23 0.115385 In 0.107365 0.123404 -25/3 1/0 1 23 0.120008 In 0.119007 0.121009 -23/3 1/0 1 23 0.130446 In 0.129263 0.131628 -22/3 0/1 1 23 0.136364 In 0.126886 0.145842 -20/3 0/1 1 23 0.150000 In 0.139574 0.160426 -19/3 1/0 1 23 0.157914 In 0.156181 0.159647 -17/3 1/0 1 23 0.176497 In 0.174332 0.178662 -16/3 0/1 1 23 0.187500 In 0.174468 0.200532 -14/3 0/1 1 23 0.214286 In 0.199392 0.229180 -13/3 1/0 1 23 0.230829 In 0.227126 0.234531 -11/3 1/0 1 23 0.272825 In 0.267654 0.277997 -10/3 0/1 1 23 0.300000 In 0.279149 0.320851 -8/3 0/1 1 23 0.375000 In 0.348936 0.401064 -7/3 1/0 1 23 0.428952 In 0.416175 0.441730 -5/3 1/0 1 23 0.601045 In 0.575980 0.626111 -4/3 0/1 1 23 0.750000 In 0.697871 0.802129 -2/3 0/1 1 23 1.500000 In 1.395743 1.604257 -1/3 1/0 1 23 3.136364 In 2.482387 3.790341 1/3 1/0 1 23 -3.136364 In -3.790341 -2.482387 2/3 0/1 1 23 -1.500000 In -1.604257 -1.395743 4/3 0/1 1 23 -0.750000 In -0.802129 -0.697871 5/3 1/0 1 23 -0.601045 In -0.626111 -0.575980 7/3 1/0 1 23 -0.428952 In -0.441730 -0.416175 8/3 0/1 1 23 -0.375000 In -0.401064 -0.348936 10/3 0/1 1 23 -0.300000 In -0.320851 -0.279149 11/3 1/0 1 23 -0.272825 In -0.277997 -0.267654 13/3 1/0 1 23 -0.230829 In -0.234531 -0.227126 14/3 0/1 1 23 -0.214286 In -0.229180 -0.199392 16/3 0/1 1 23 -0.187500 In -0.200532 -0.174468 17/3 1/0 1 23 -0.176497 In -0.178662 -0.174332 19/3 1/0 1 23 -0.157914 In -0.159647 -0.156181 20/3 0/1 1 23 -0.150000 In -0.160426 -0.139574 22/3 0/1 1 23 -0.136364 In -0.145842 -0.126886 23/3 1/0 1 23 -0.130446 In -0.131628 -0.129263 25/3 1/0 1 23 -0.120008 In -0.121009 -0.119007 26/3 0/1 1 23 -0.115385 In -0.123404 -0.107365 28/3 0/1 1 23 -0.107143 In -0.114590 -0.099696 29/3 1/0 1 23 -0.103454 In -0.104197 -0.102710 31/3 1/0 1 23 -0.096779 In -0.097430 -0.096128 32/3 0/1 1 23 -0.093750 In -0.100266 -0.087234 34/3 0/1 1 23 -0.088235 In -0.094368 -0.082103 35/3 1/0 1 23 -0.085717 In -0.086228 -0.085207 37/3 1/0 1 23 -0.081084 In -0.081541 -0.080627 38/3 0/1 1 23 -0.078947 In -0.084435 -0.073460 40/3 0/1 1 23 -0.075000 In -0.080213 -0.069787 41/3 1/0 1 23 -0.073173 In -0.073545 -0.072800 43/3 1/0 1 23 -0.069769 In -0.070107 -0.069431 44/3 0/1 1 23 -0.068182 In -0.072921 -0.063443 46/3 0/1 1 23 -0.065217 In -0.069750 -0.060684 47/3 1/0 1 23 -0.063831 In -0.064114 -0.063548 49/3 1/0 1 23 -0.061226 In -0.061486 -0.060965 50/3 0/1 1 23 -0.060000 In -0.064170 -0.055830 -49/4 -1/1 1 23 0.081616 In 0.077708 0.085524 -47/4 1/1 1 23 0.085128 In 0.080314 0.089942 -45/4 1/1 1 23 0.088912 In 0.083867 0.093958 -43/4 -1/1 1 23 0.093002 In 0.088604 0.097400 -41/4 -1/1 1 23 0.097538 In 0.092948 0.102127 -39/4 1/1 1 23 0.102596 In 0.096701 0.108491 -37/4 1/1 1 23 0.108143 In 0.101898 0.114388 -35/4 -1/1 1 23 0.114254 In 0.108977 0.119531 -33/4 -1/1 1 23 0.121177 In 0.115624 0.126730 -31/4 1/1 1 23 0.129083 In 0.121489 0.136678 -29/4 1/1 1 23 0.137990 In 0.129808 0.146172 -27/4 -1/1 1 23 0.148097 In 0.141518 0.154676 -25/4 -1/1 1 23 0.159942 In 0.152935 0.166948 -23/4 1/1 1 23 0.174010 In 0.163366 0.184653 -21/4 1/1 1 23 0.190594 In 0.178772 0.202415 -19/4 -1/1 1 23 0.210431 In 0.201766 0.219096 -17/4 -1/1 1 23 0.235179 In 0.225798 0.244560 -15/4 1/1 1 23 0.266911 In 0.249300 0.284523 -13/4 1/1 1 23 0.308029 In 0.287049 0.329009 -11/4 -1/1 1 23 0.363408 In 0.351340 0.375475 -9/4 -1/1 1 23 0.444146 In 0.431268 0.457024 -7/4 1/1 1 23 0.572824 In 0.525973 0.619675 -5/4 1/1 1 23 0.803136 In 0.727940 0.878332 -3/4 -1/1 1 23 1.334951 In 1.311671 1.358232 -1/4 -1/1 1 23 4.136364 In 3.482387 4.790341 1/4 1/1 1 23 -4.136364 In -4.790341 -3.482387 3/4 1/1 1 23 -1.334951 In -1.358232 -1.311671 5/4 -1/1 1 23 -0.803136 In -0.878332 -0.727940 7/4 -1/1 1 23 -0.572824 In -0.619675 -0.525973 9/4 1/1 1 23 -0.444146 In -0.457024 -0.431268 11/4 1/1 1 23 -0.363408 In -0.375475 -0.351340 13/4 -1/1 1 23 -0.308029 In -0.329009 -0.287049 15/4 -1/1 1 23 -0.266911 In -0.284523 -0.249300 17/4 1/1 1 23 -0.235179 In -0.244560 -0.225798 19/4 1/1 1 23 -0.210431 In -0.219096 -0.201766 21/4 -1/1 1 23 -0.190594 In -0.202415 -0.178772 23/4 -1/1 1 23 -0.174010 In -0.184653 -0.163366 25/4 1/1 1 23 -0.159942 In -0.166948 -0.152935 27/4 1/1 1 23 -0.148097 In -0.154676 -0.141518 29/4 -1/1 1 23 -0.137990 In -0.146172 -0.129808 31/4 -1/1 1 23 -0.129083 In -0.136678 -0.121489 33/4 1/1 1 23 -0.121177 In -0.126730 -0.115624 35/4 1/1 1 23 -0.114254 In -0.119531 -0.108977 37/4 -1/1 1 23 -0.108143 In -0.114388 -0.101898 39/4 -1/1 1 23 -0.102596 In -0.108491 -0.096701 41/4 1/1 1 23 -0.097538 In -0.102127 -0.092948 43/4 1/1 1 23 -0.093002 In -0.097400 -0.088604 45/4 -1/1 1 23 -0.088912 In -0.093958 -0.083867 47/4 -1/1 1 23 -0.085128 In -0.089942 -0.080314 49/4 1/1 1 23 -0.081616 In -0.085524 -0.077708 -49/5 1/0 1 23 0.102043 In 0.101608 0.102477 -48/5 0/1 1 23 0.104167 In 0.099823 0.108511 -47/5 1/0 1 23 0.106385 In 0.105913 0.106857 -46/5 0/1 1 23 0.108696 In 0.104163 0.113229 -44/5 0/1 1 23 0.113636 In 0.108897 0.118375 -43/5 1/0 1 23 0.116282 In 0.115718 0.116846 -42/5 0/1 1 23 0.119048 In 0.114083 0.124012 -41/5 1/0 1 23 0.121954 In 0.121334 0.122575 -39/5 1/0 1 23 0.128209 In 0.127523 0.128894 -38/5 0/1 1 23 0.131579 In 0.126092 0.137066 -37/5 1/0 1 23 0.135139 In 0.134378 0.135901 -36/5 0/1 1 23 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