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 15 -49/1 1/0 1 15 0.020409 In 0.020301 0.020516 -48/1 -48/1 1 15 -47/1 1/0 1 15 0.021277 In 0.021160 0.021394 -46/1 -46/1 1 15 -45/1 1/0 1 15 0.022223 In 0.022095 0.022350 -44/1 -44/1 1 15 -43/1 1/0 1 15 0.023257 In 0.023117 0.023396 -42/1 -42/1 1 15 -41/1 1/0 1 15 0.024391 In 0.024238 0.024545 -40/1 -40/1 1 15 -39/1 1/0 1 15 0.025642 In 0.025472 0.025812 -38/1 -38/1 1 15 -37/1 1/0 1 15 0.027028 In 0.026840 0.027217 -36/1 -36/1 1 15 -35/1 1/0 1 15 0.028573 In 0.028362 0.028784 -34/1 -34/1 1 15 -33/1 1/0 1 15 0.030305 In 0.030068 0.030542 -32/1 -32/1 1 15 -31/1 1/0 1 15 0.032260 In 0.031992 0.032529 -30/1 -30/1 1 15 -29/1 1/0 1 15 0.034485 In 0.034178 0.034793 -28/1 -28/1 1 15 -27/1 1/0 1 15 0.037040 In 0.036686 0.037395 -26/1 -26/1 1 15 -25/1 1/0 1 15 0.040004 In 0.039591 0.040417 -24/1 -24/1 1 15 -23/1 1/0 1 15 0.043484 In 0.042996 0.043972 -22/1 -22/1 1 15 -21/1 1/0 1 15 0.047626 In 0.047041 0.048212 -20/1 -20/1 1 15 -19/1 1/0 1 15 0.052641 In 0.051926 0.053357 -18/1 -18/1 1 15 -17/1 1/0 1 15 0.058837 In 0.057943 0.059731 -16/1 -16/1 1 15 -15/1 1/0 1 15 0.066686 In 0.065539 0.067834 -14/1 -14/1 1 15 -13/1 1/0 1 15 0.076953 In 0.075425 0.078482 -12/1 -12/1 1 15 -11/1 1/0 1 15 0.090959 In 0.088824 0.093094 -10/1 -10/1 1 15 -9/1 1/0 1 15 0.111203 In 0.108012 0.114393 -8/1 -8/1 1 15 -7/1 1/0 1 15 0.143052 In 0.137775 0.148328 -6/1 -6/1 1 15 -5/1 1/0 1 15 0.200535 In 0.190179 0.210890 -4/1 -4/1 1 15 -3/1 1/0 1 15 0.335821 In 0.306918 0.364724 -2/1 -2/1 1 15 -1/1 1/0 1 15 1.071429 In 0.794787 1.348070 0/1 0/1 1 15 1/1 1/0 1 15 -1.071429 In -1.348070 -0.794787 2/1 2/1 1 15 3/1 1/0 1 15 -0.335821 In -0.364724 -0.306918 4/1 4/1 1 15 5/1 1/0 1 15 -0.200535 In -0.210890 -0.190179 6/1 6/1 1 15 7/1 1/0 1 15 -0.143052 In -0.148328 -0.137775 8/1 8/1 1 15 9/1 1/0 1 15 -0.111203 In -0.114393 -0.108012 10/1 10/1 1 15 11/1 1/0 1 15 -0.090959 In -0.093094 -0.088824 12/1 12/1 1 15 13/1 1/0 1 15 -0.076953 In -0.078482 -0.075425 14/1 14/1 1 15 15/1 1/0 1 15 -0.066686 In -0.067834 -0.065539 16/1 16/1 1 15 17/1 1/0 1 15 -0.058837 In -0.059731 -0.057943 18/1 18/1 1 15 19/1 1/0 1 15 -0.052641 In -0.053357 -0.051926 20/1 20/1 1 15 21/1 1/0 1 15 -0.047626 In -0.048212 -0.047041 22/1 22/1 1 15 23/1 1/0 1 15 -0.043484 In -0.043972 -0.042996 24/1 24/1 1 15 25/1 1/0 1 15 -0.040004 In -0.040417 -0.039591 26/1 26/1 1 15 27/1 1/0 1 15 -0.037040 In -0.037395 -0.036686 28/1 28/1 1 15 29/1 1/0 1 15 -0.034485 In -0.034793 -0.034178 30/1 30/1 1 15 31/1 1/0 1 15 -0.032260 In -0.032529 -0.031992 32/1 32/1 1 15 33/1 1/0 1 15 -0.030305 In -0.030542 -0.030068 34/1 34/1 1 15 35/1 1/0 1 15 -0.028573 In -0.028784 -0.028362 36/1 36/1 1 15 37/1 1/0 1 15 -0.027028 In -0.027217 -0.026840 38/1 38/1 1 15 39/1 1/0 1 15 -0.025642 In -0.025812 -0.025472 40/1 40/1 1 15 41/1 1/0 1 15 -0.024391 In -0.024545 -0.024238 42/1 42/1 1 15 43/1 1/0 1 15 -0.023257 In -0.023396 -0.023117 44/1 44/1 1 15 45/1 1/0 1 15 -0.022223 In -0.022350 -0.022095 46/1 46/1 1 15 47/1 1/0 1 15 -0.021277 In -0.021394 -0.021160 48/1 48/1 1 15 49/1 1/0 1 15 -0.020409 In -0.020516 -0.020301 50/1 50/1 1 15 -49/2 -25/1 1 15 0.040831 In 0.040721 0.040940 -47/2 -23/1 1 15 0.042538 In 0.042419 0.042657 -45/2 -23/1 1 15 0.044462 In 0.044332 0.044591 -43/2 -21/1 1 15 0.046494 In 0.046352 0.046636 -41/2 -21/1 1 15 0.048801 In 0.048645 0.048957 -39/2 -19/1 1 15 0.051260 In 0.051088 0.051433 -37/2 -19/1 1 15 0.054080 In 0.053888 0.054271 -35/2 -17/1 1 15 0.057116 In 0.056902 0.057330 -33/2 -17/1 1 15 0.060638 In 0.060397 0.060880 -31/2 -15/1 1 15 0.064482 In 0.064209 0.064755 -29/2 -15/1 1 15 0.069007 In 0.068695 0.069320 -27/2 -13/1 1 15 0.074029 In 0.073670 0.074389 -25/2 -13/1 1 15 0.080056 In 0.079636 0.080477 -23/2 -11/1 1 15 0.086895 In 0.086400 0.087391 -21/2 -11/1 1 15 0.095319 In 0.094722 0.095915 -19/2 -9/1 1 15 0.105174 In 0.104448 0.105900 -17/2 -9/1 1 15 0.117772 In 0.116861 0.118682 -15/2 -7/1 1 15 0.133193 In 0.132029 0.134357 -13/2 -7/1 1 15 0.154063 In 0.152505 0.155621 -11/2 -5/1 1 15 0.181564 In 0.179401 0.183728 -9/2 -5/1 1 15 0.222689 In 0.219434 0.225944 -7/2 -3/1 1 15 0.285124 In 0.279789 0.290459 -5/2 -3/1 1 15 0.401639 In 0.391057 0.412221 -3/2 -1/1 1 15 0.664179 In 0.635276 0.693082 -1/2 -1/1 1 15 2.071429 In 1.794787 2.348070 1/2 1/1 1 15 -2.071429 In -2.348070 -1.794787 3/2 1/1 1 15 -0.664179 In -0.693082 -0.635276 5/2 3/1 1 15 -0.401639 In -0.412221 -0.391057 7/2 3/1 1 15 -0.285124 In -0.290459 -0.279789 9/2 5/1 1 15 -0.222689 In -0.225944 -0.219434 11/2 5/1 1 15 -0.181564 In -0.183728 -0.179401 13/2 7/1 1 15 -0.154063 In -0.155621 -0.152505 15/2 7/1 1 15 -0.133193 In -0.134357 -0.132029 17/2 9/1 1 15 -0.117772 In -0.118682 -0.116861 19/2 9/1 1 15 -0.105174 In -0.105900 -0.104448 21/2 11/1 1 15 -0.095319 In -0.095915 -0.094722 23/2 11/1 1 15 -0.086895 In -0.087391 -0.086400 25/2 13/1 1 15 -0.080056 In -0.080477 -0.079636 27/2 13/1 1 15 -0.074029 In -0.074389 -0.073670 29/2 15/1 1 15 -0.069007 In -0.069320 -0.068695 31/2 15/1 1 15 -0.064482 In -0.064755 -0.064209 33/2 17/1 1 15 -0.060638 In -0.060880 -0.060397 35/2 17/1 1 15 -0.057116 In -0.057330 -0.056902 37/2 19/1 1 15 -0.054080 In -0.054271 -0.053888 39/2 19/1 1 15 -0.051260 In -0.051433 -0.051088 41/2 21/1 1 15 -0.048801 In -0.048957 -0.048645 43/2 21/1 1 15 -0.046494 In -0.046636 -0.046352 45/2 23/1 1 15 -0.044462 In -0.044591 -0.044332 47/2 23/1 1 15 -0.042538 In -0.042657 -0.042419 49/2 25/1 1 15 -0.040831 In -0.040940 -0.040721 -50/3 -18/1 1 5 0.060118 In 0.059384 0.060853 -49/3 -17/1 1 5 0.061284 In 0.060902 0.061665 -47/3 -15/1 1 5 0.063771 In 0.063357 0.064184 -46/3 -14/1 1 5 0.065100 In 0.064239 0.065962 -44/3 -16/1 1 5 0.068336 In 0.067387 0.069285 -43/3 -15/1 1 5 0.069845 In 0.069349 0.070341 -41/3 -13/1 1 5 0.073094 In 0.072551 0.073637 -40/3 -12/1 1 5 0.074847 In 0.073709 0.075986 -38/3 -14/1 1 5 0.079157 In 0.077884 0.080431 -37/3 -13/1 1 5 0.081186 In 0.080516 0.081856 -35/3 -11/1 1 5 0.085610 In 0.084865 0.086354 -34/3 -10/1 1 5 0.088028 In 0.086453 0.089603 -32/3 -12/1 1 5 0.094051 In 0.092254 0.095849 -31/3 -11/1 1 5 0.096926 In 0.095971 0.097880 -29/3 -9/1 1 5 0.103298 In 0.102213 0.104382 -28/3 -8/1 1 5 0.106846 In 0.104527 0.109166 -26/3 -10/1 1 5 0.115854 In 0.113127 0.118581 -25/3 -9/1 1 5 0.120237 In 0.118767 0.121706 -23/3 -7/1 1 5 0.130200 In 0.128478 0.131923 -22/3 -6/1 1 5 0.135906 In 0.132154 0.139658 -20/3 -8/1 1 5 0.150826 In 0.146206 0.155446 -19/3 -7/1 1 5 0.158314 In 0.155768 0.160861 -17/3 -5/1 1 5 0.176056 In 0.172907 0.179206 -16/3 -4/1 1 5 0.186709 In 0.179633 0.193785 -14/3 -6/1 1 5 0.216102 In 0.206627 0.225577 -13/3 -5/1 1 5 0.231707 In 0.226253 0.237161 -11/3 -3/1 1 5 0.271812 In 0.264308 0.279316 -10/3 -2/1 1 5 0.298387 In 0.280354 0.316420 -8/3 -4/1 1 5 0.381579 In 0.352157 0.411001 -7/3 -3/1 1 5 0.432203 In 0.413254 0.451153 -5/3 -1/1 1 5 0.596774 In 0.560709 0.632840 -4/3 0/1 1 5 0.750000 In 0.638197 0.861803 -2/3 -2/1 1 5 1.750000 In 1.190983 2.309017 -1/3 -1/1 1 5 3.500000 In 2.381966 4.618034 1/3 1/1 1 5 -3.500000 In -4.618034 -2.381966 2/3 2/1 1 5 -1.750000 In -2.309017 -1.190983 4/3 0/1 1 5 -0.750000 In -0.861803 -0.638197 5/3 1/1 1 5 -0.596774 In -0.632840 -0.560709 7/3 3/1 1 5 -0.432203 In -0.451153 -0.413254 8/3 4/1 1 5 -0.381579 In -0.411001 -0.352157 10/3 2/1 1 5 -0.298387 In -0.316420 -0.280354 11/3 3/1 1 5 -0.271812 In -0.279316 -0.264308 13/3 5/1 1 5 -0.231707 In -0.237161 -0.226253 14/3 6/1 1 5 -0.216102 In -0.225577 -0.206627 16/3 4/1 1 5 -0.186709 In -0.193785 -0.179633 17/3 5/1 1 5 -0.176056 In -0.179206 -0.172907 19/3 7/1 1 5 -0.158314 In -0.160861 -0.155768 20/3 8/1 1 5 -0.150826 In -0.155446 -0.146206 22/3 6/1 1 5 -0.135906 In -0.139658 -0.132154 23/3 7/1 1 5 -0.130200 In -0.131923 -0.128478 25/3 9/1 1 5 -0.120237 In -0.121706 -0.118767 26/3 10/1 1 5 -0.115854 In -0.118581 -0.113127 28/3 8/1 1 5 -0.106846 In -0.109166 -0.104527 29/3 9/1 1 5 -0.103298 In -0.104382 -0.102213 31/3 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0.114300 In 0.114088 0.114511 -33/4 -7/1 1 15 0.121147 In 0.119958 0.122336 -31/4 -9/1 1 15 0.129134 In 0.127783 0.130485 -29/4 -7/1 1 15 0.137912 In 0.137604 0.138220 -27/4 -7/1 1 15 0.148172 In 0.147816 0.148528 -25/4 -5/1 1 15 0.159893 In 0.157822 0.161964 -23/4 -7/1 1 15 0.174106 In 0.171650 0.176562 -21/4 -5/1 1 15 0.190440 In 0.189852 0.191028 -19/4 -5/1 1 15 0.210575 In 0.209857 0.211294 -17/4 -3/1 1 15 0.235090 In 0.230614 0.239567 -15/4 -5/1 1 15 0.267164 In 0.261384 0.272945 -13/4 -3/1 1 15 0.307601 In 0.306068 0.309134 -11/4 -3/1 1 15 0.363787 In 0.361643 0.365932 -9/4 -1/1 1 15 0.443987 In 0.428035 0.459938 -7/4 -3/1 1 15 0.574380 In 0.547707 0.601054 -5/4 -1/1 1 15 0.799465 In 0.789110 0.809821 -3/4 -1/1 1 15 1.335821 In 1.306918 1.364724 -1/4 1/1 1 15 4.357143 In 2.973935 5.740351 1/4 -1/1 1 15 -4.357143 In -5.740351 -2.973935 3/4 1/1 1 15 -1.335821 In -1.364724 -1.306918 5/4 1/1 1 15 -0.799465 In -0.809821 -0.789110 7/4 3/1 1 15 -0.574380 In -0.601054 -0.547707 9/4 1/1 1 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0.101938 In 0.100965 0.102910 -48/5 -10/1 1 3 0.104228 In 0.103719 0.104736 -47/5 -9/1 1 3 0.106324 In 0.105795 0.106854 -46/5 -8/1 1 3 0.108530 In 0.106876 0.110183 -44/5 -10/1 1 3 0.113875 In 0.112055 0.115696 -43/5 -9/1 1 3 0.116356 In 0.115722 0.116989 -42/5 -8/1 1 3 0.118975 In 0.118312 0.119637 -41/5 -9/1 1 3 0.122128 In 0.120732 0.123524 -39/5 -7/1 1 3 0.128046 In 0.126511 0.129581 -38/5 -8/1 1 3 0.131678 In 0.130866 0.132489 -37/5 -7/1 1 3 0.135042 In 0.134188 0.135896 -36/5 -6/1 1 3 0.138629 In 0.135931 0.141327 -34/5 -8/1 1 3 0.147474 In 0.144421 0.150527 -33/5 -7/1 1 3 0.151647 In 0.150571 0.152723 -32/5 -6/1 1 3 0.156126 In 0.154985 0.157267 -31/5 -7/1 1 3 0.161609 In 0.159164 0.164054 -29/5 -5/1 1 3 0.172138 In 0.169364 0.174911 -28/5 -6/1 1 3 0.178756 In 0.177261 0.180252 -27/5 -5/1 1 3 0.185014 In 0.183412 0.186616 -26/5 -4/1 1 3 0.191849 In 0.186684 0.197014 -24/5 -6/1 1 3 0.209220 In 0.203078 0.215362 -23/5 -5/1 1 3 0.217670 In 0.215452 0.219887 -22/5 -4/1 1 3 0.227019 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