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 39 -49/1 -49/1 1 39 -48/1 -48/1 1 39 -47/1 -47/1 1 39 -46/1 -46/1 1 39 -45/1 -45/1 1 39 -44/1 -44/1 1 39 -43/1 -43/1 1 39 -42/1 -42/1 1 39 -41/1 -41/1 1 39 -40/1 -40/1 1 39 -39/1 -39/1 1 39 -38/1 -38/1 1 39 -37/1 -37/1 1 39 -36/1 -36/1 1 39 -35/1 -35/1 1 39 -34/1 -34/1 1 39 -33/1 -33/1 1 39 -32/1 -32/1 1 39 -31/1 -31/1 1 39 -30/1 -30/1 1 39 -29/1 -29/1 1 39 -28/1 -28/1 1 39 -27/1 -27/1 1 39 -26/1 -26/1 1 39 -25/1 -25/1 1 39 -24/1 -24/1 1 39 -23/1 -23/1 1 39 -22/1 -22/1 1 39 -21/1 -21/1 1 39 -20/1 -20/1 1 39 -19/1 -19/1 1 39 -18/1 -18/1 1 39 -17/1 -17/1 1 39 -16/1 -16/1 1 39 -15/1 -15/1 1 39 -14/1 -14/1 1 39 -13/1 -13/1 1 39 -12/1 -12/1 1 39 -11/1 -11/1 1 39 -10/1 -10/1 1 39 -9/1 -9/1 1 39 -8/1 -8/1 1 39 -7/1 -7/1 1 39 -6/1 -6/1 1 39 -5/1 -5/1 1 39 -4/1 -4/1 1 39 -3/1 -3/1 1 39 -2/1 -2/1 1 39 -1/1 -1/1 1 39 0/1 0/1 1 39 1/1 1/1 1 39 2/1 2/1 1 39 3/1 3/1 1 39 4/1 4/1 1 39 5/1 5/1 1 39 6/1 6/1 1 39 7/1 7/1 1 39 8/1 8/1 1 39 9/1 9/1 1 39 10/1 10/1 1 39 11/1 11/1 1 39 12/1 12/1 1 39 13/1 13/1 1 39 14/1 14/1 1 39 15/1 15/1 1 39 16/1 16/1 1 39 17/1 17/1 1 39 18/1 18/1 1 39 19/1 19/1 1 39 20/1 20/1 1 39 21/1 21/1 1 39 22/1 22/1 1 39 23/1 23/1 1 39 24/1 24/1 1 39 25/1 25/1 1 39 26/1 26/1 1 39 27/1 27/1 1 39 28/1 28/1 1 39 29/1 29/1 1 39 30/1 30/1 1 39 31/1 31/1 1 39 32/1 32/1 1 39 33/1 33/1 1 39 34/1 34/1 1 39 35/1 35/1 1 39 36/1 36/1 1 39 37/1 37/1 1 39 38/1 38/1 1 39 39/1 39/1 1 39 40/1 40/1 1 39 41/1 41/1 1 39 42/1 42/1 1 39 43/1 43/1 1 39 44/1 44/1 1 39 45/1 45/1 1 39 46/1 46/1 1 39 47/1 47/1 1 39 48/1 48/1 1 39 49/1 49/1 1 39 50/1 50/1 1 39 -49/2 1/0 1 39 0.040817 In 0.040683 0.040950 -47/2 1/0 1 39 0.042554 In 0.042409 0.042699 -45/2 1/0 1 39 0.044445 In 0.044287 0.044603 -43/2 1/0 1 39 0.046512 In 0.046339 0.046685 -41/2 1/0 1 39 0.048781 In 0.048591 0.048972 -39/2 1/0 1 39 0.051283 In 0.051072 0.051493 -37/2 1/0 1 39 0.054055 In 0.053821 0.054289 -35/2 1/0 1 39 0.057144 In 0.056883 0.057405 -33/2 1/0 1 39 0.060607 In 0.060313 0.060902 -31/2 1/0 1 39 0.064518 In 0.064185 0.064851 -29/2 1/0 1 39 0.068968 In 0.068587 0.069348 -27/2 1/0 1 39 0.074077 In 0.073637 0.074516 -25/2 1/0 1 39 0.080003 In 0.079491 0.080516 -23/2 1/0 1 39 0.086961 In 0.086355 0.087566 -21/2 1/0 1 39 0.095244 In 0.094517 0.095970 -19/2 1/0 1 39 0.105271 In 0.104383 0.106158 -17/2 1/0 1 39 0.117657 In 0.116549 0.118766 -15/2 1/0 1 39 0.133349 In 0.131925 0.134772 -13/2 1/0 1 39 0.153869 In 0.151974 0.155765 -11/2 1/0 1 39 0.181857 In 0.179209 0.184504 -9/2 1/0 1 39 0.222293 In 0.218338 0.226248 -7/2 1/0 1 39 0.285864 In 0.279325 0.292403 -5/2 1/0 1 39 0.400411 In 0.387587 0.413234 -3/2 1/0 1 39 0.668571 In 0.632886 0.704257 -1/2 1/0 1 39 2.052632 In 1.723947 2.381316 1/2 1/0 1 39 -2.052632 In -2.381316 -1.723947 3/2 1/0 1 39 -0.668571 In -0.704257 -0.632886 5/2 1/0 1 39 -0.400411 In -0.413234 -0.387587 7/2 1/0 1 39 -0.285864 In -0.292403 -0.279325 9/2 1/0 1 39 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In 0.059757 0.060204 -49/3 -17/1 1 13 0.061247 In 0.061014 0.061480 -47/3 -15/1 1 13 0.063807 In 0.063554 0.064060 -46/3 -16/1 1 13 0.065243 In 0.064978 0.065508 -44/3 -14/1 1 13 0.068156 In 0.067868 0.068445 -43/3 -15/1 1 13 0.069797 In 0.069494 0.070100 -41/3 -13/1 1 13 0.073141 In 0.072809 0.073474 -40/3 -14/1 1 13 0.075034 In 0.074684 0.075384 -38/3 -12/1 1 13 0.078913 In 0.078526 0.079301 -37/3 -13/1 1 13 0.081121 In 0.080712 0.081530 -35/3 -11/1 1 13 0.085675 In 0.085218 0.086131 -34/3 -12/1 1 13 0.088283 In 0.087798 0.088767 -32/3 -10/1 1 13 0.093703 In 0.093157 0.094248 -31/3 -11/1 1 13 0.096832 In 0.096249 0.097414 -29/3 -9/1 1 13 0.103391 In 0.102727 0.104056 -28/3 -10/1 1 13 0.107214 In 0.106499 0.107928 -26/3 -8/1 1 13 0.115314 In 0.114487 0.116141 -25/3 -9/1 1 13 0.120090 In 0.119193 0.120986 -23/3 -7/1 1 13 0.130346 In 0.129290 0.131402 -22/3 -8/1 1 13 0.136480 In 0.135323 0.137638 -20/3 -6/1 1 13 0.149884 In 0.148487 0.151280 -19/3 -7/1 1 13 0.158053 In 0.156501 0.159606 -17/3 -5/1 1 13 0.176313 In 0.174381 0.178245 -16/3 -6/1 1 13 0.187728 In 0.185537 0.189918 -14/3 -4/1 1 13 0.214060 In 0.211212 0.216908 -13/3 -5/1 1 13 0.231123 In 0.227803 0.234443 -11/3 -3/1 1 13 0.272379 In 0.267768 0.276989 -10/3 -4/1 1 13 0.300623 In 0.295007 0.306239 -8/3 -2/1 1 13 0.374396 In 0.365687 0.383105 -7/3 -3/1 1 13 0.429936 In 0.418454 0.441419 -5/3 -1/1 1 13 0.598765 In 0.576509 0.621022 -4/3 -2/1 1 13 0.754902 In 0.719553 0.790251 -2/3 0/1 1 13 1.500000 In 1.361325 1.638675 -1/3 -1/1 1 13 3.166667 In 2.565741 3.767592 1/3 1/1 1 13 -3.166667 In -3.767592 -2.565741 2/3 0/1 1 13 -1.500000 In -1.638675 -1.361325 4/3 2/1 1 13 -0.754902 In -0.790251 -0.719553 5/3 1/1 1 13 -0.598765 In -0.621022 -0.576509 7/3 3/1 1 13 -0.429936 In -0.441419 -0.418454 8/3 2/1 1 13 -0.374396 In -0.383105 -0.365687 10/3 4/1 1 13 -0.300623 In -0.306239 -0.295007 11/3 3/1 1 13 -0.272379 In -0.276989 -0.267768 13/3 5/1 1 13 -0.231123 In -0.234443 -0.227803 14/3 4/1 1 13 -0.214060 In -0.216908 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-13/4 -7/2 1 39 0.307857 In 0.305948 0.309766 -11/4 -5/2 1 39 0.363443 In 0.360782 0.366104 -9/4 -5/2 1 39 0.444799 In 0.440814 0.448784 -7/4 -3/2 1 39 0.570978 In 0.564411 0.577545 -5/4 -3/2 1 39 0.801242 In 0.788313 0.814172 -3/4 -1/2 1 39 1.331429 In 1.295743 1.367114 -1/4 -1/2 1 39 4.052632 In 3.723947 4.381316 1/4 1/2 1 39 -4.052632 In -4.381316 -3.723947 3/4 1/2 1 39 -1.331429 In -1.367114 -1.295743 5/4 3/2 1 39 -0.801242 In -0.814172 -0.788313 7/4 3/2 1 39 -0.570978 In -0.577545 -0.564411 9/4 5/2 1 39 -0.444799 In -0.448784 -0.440814 11/4 5/2 1 39 -0.363443 In -0.366104 -0.360782 13/4 7/2 1 39 -0.307857 In -0.309766 -0.305948 15/4 7/2 1 39 -0.266560 In -0.267991 -0.265128 17/4 9/2 1 39 -0.235389 In -0.236505 -0.234273 19/4 9/2 1 39 -0.210459 In -0.211351 -0.209566 21/4 11/2 1 39 -0.190538 In -0.191269 -0.189806 23/4 11/2 1 39 -0.173866 In -0.174475 -0.173257 25/4 13/2 1 39 -0.160043 In -0.160559 -0.159527 27/4 13/2 1 39 -0.148114 In -0.148556 -0.147672 29/4 15/2 1 39 -0.137963 In -0.138346 -0.137579 31/4 15/2 1 39 -0.129006 In -0.129342 -0.128671 33/4 17/2 1 39 -0.121237 In -0.121533 -0.120940 35/4 17/2 1 39 -0.114265 In -0.114528 -0.114002 37/4 19/2 1 39 -0.108127 In -0.108363 -0.107892 39/4 19/2 1 39 -0.102548 In -0.102759 -0.102336 41/4 21/2 1 39 -0.097577 In -0.097769 -0.097385 43/4 21/2 1 39 -0.093010 In -0.093184 -0.092835 45/4 23/2 1 39 -0.088902 In -0.089061 -0.088743 47/4 23/2 1 39 -0.085095 In -0.085241 -0.084949 49/4 25/2 1 39 -0.081644 In -0.081778 -0.081509 -49/5 -9/1 1 39 0.102033 In 0.101766 0.102300 -48/5 -10/1 1 39 0.104171 In 0.104032 0.104310 -47/5 -9/1 1 39 0.106379 In 0.106233 0.106524 -46/5 -10/1 1 39 0.108706 In 0.108403 0.109009 -44/5 -8/1 1 39 0.113627 In 0.113296 0.113958 -43/5 -9/1 1 39 0.116285 In 0.116111 0.116458 -42/5 -8/1 1 39 0.119042 In 0.118860 0.119224 -41/5 -9/1 1 39 0.121965 In 0.121583 0.122346 -39/5 -7/1 1 39 0.128193 In 0.127772 0.128614 -38/5 -8/1 1 39 0.131586 In 0.131364 0.131808 -37/5 -7/1 1 39 0.135128 In 0.134894 0.135362 -36/5 -8/1 1 39 0.138906 In 0.138412 0.139401 -34/5 -6/1 1 39 0.147043 In 0.146489 0.147598 -33/5 -7/1 1 39 0.151525 In 0.151231 0.151820 -32/5 -6/1 1 39 0.156241 In 0.155928 0.156554 -31/5 -7/1 1 39 0.161314 In 0.160647 0.161982 -29/5 -5/1 1 39 0.172393 In 0.171631 0.173155 -28/5 -6/1 1 39 0.178585 In 0.178176 0.178994 -27/5 -5/1 1 39 0.185172 In 0.184732 0.185612 -26/5 -6/1 1 39 0.192343 In 0.191394 0.193292 -24/5 -4/1 1 39 0.208304 In 0.207191 0.209416 -23/5 -5/1 1 39 0.217412 In 0.216806 0.218019 -22/5 -4/1 1 39 0.227253 In 0.226591 0.227916 -21/5 -5/1 1 39 0.238151 In 0.236696 0.239605 -19/5 -3/1 1 39 0.263113 In 0.261338 0.264888 -18/5 -4/1 1 39 0.277813 In 0.276823 0.278803 -17/5 -3/1 1 39 0.294086 In 0.292977 0.295195 -16/5 -4/1 1 39 0.312600 In 0.310094 0.315106 -14/5 -2/1 1 39 0.357068 In 0.353798 0.360338 -13/5 -3/1 1 39 0.384686 In 0.382788 0.386583 -12/5 -2/1 1 39 0.416607 In 0.414382 0.418833 -11/5 -3/1 1 39 0.454777 In 0.449473 0.460081 -9/5 -1/1 1 39 0.555415 In 0.547505 0.563325 -8/5 -2/1 1 39 0.625201 In 0.620189 0.630213 -7/5 -1/1 1 39 0.714136 In 0.707597 0.720675 -6/5 -2/1 1 39 0.834286 In 0.816443 0.852129 -4/5 0/1 1 39 1.250000 In 1.209968 1.290032 -3/5 -1/1 1 39 1.668571 In 1.632886 1.704257 -2/5 0/1 1 39 2.500000 In 2.419936 2.580064 -1/5 -1/1 1 39 5.105263 In 4.447895 5.762631 1/5 1/1 1 39 -5.105263 In -5.762631 -4.447895 2/5 0/1 1 39 -2.500000 In -2.580064 -2.419936 3/5 1/1 1 39 -1.668571 In -1.704257 -1.632886 4/5 0/1 1 39 -1.250000 In -1.290032 -1.209968 6/5 2/1 1 39 -0.834286 In -0.852129 -0.816443 7/5 1/1 1 39 -0.714136 In -0.720675 -0.707597 8/5 2/1 1 39 -0.625201 In -0.630213 -0.620189 9/5 1/1 1 39 -0.555415 In -0.563325 -0.547505 11/5 3/1 1 39 -0.454777 In -0.460081 -0.449473 12/5 2/1 1 39 -0.416607 In -0.418833 -0.414382 13/5 3/1 1 39 -0.384686 In -0.386583 -0.382788 14/5 2/1 1 39 -0.357068 In -0.360338 -0.353798 16/5 4/1 1 39 -0.312600 In -0.315106 -0.310094 17/5 3/1 1 39 -0.294086 In -0.295195 -0.292977 18/5 4/1 1 39 -0.277813 In -0.278803 -0.276823 19/5 3/1 1 39 -0.263113 In -0.264888 -0.261338 21/5 5/1 1 39 -0.238151 In -0.239605 -0.236696 22/5 4/1 1 39 -0.227253 In -0.227916 -0.226591 23/5 5/1 1 39 -0.217412 In -0.218019 -0.216806 24/5 4/1 1 39 -0.208304 In -0.209416 -0.207191 26/5 6/1 1 39 -0.192343 In -0.193292 -0.191394 27/5 5/1 1 39 -0.185172 In -0.185612 -0.184732 28/5 6/1 1 39 -0.178585 In -0.178994 -0.178176 29/5 5/1 1 39 -0.172393 In -0.173155 -0.171631 31/5 7/1 1 39 -0.161314 In -0.161982 -0.160647 32/5 6/1 1 39 -0.156241 In -0.156554 -0.155928 33/5 7/1 1 39 -0.151525 In -0.151820 -0.151231 34/5 6/1 1 39 -0.147043 In -0.147598 -0.146489 36/5 8/1 1 39 -0.138906 In -0.139401 -0.138412 37/5 7/1 1 39 -0.135128 In -0.135362 -0.134894 38/5 8/1 1 39 -0.131586 In -0.131808 -0.131364 39/5 7/1 1 39 -0.128193 In -0.128614 -0.127772 41/5 9/1 1 39 -0.121965 In -0.122346 -0.121583 42/5 8/1 1 39 -0.119042 In -0.119224 -0.118860 43/5 9/1 1 39 -0.116285 In -0.116458 -0.116111 44/5 8/1 1 39 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