SLOPE FUNCTION AND HALF-SPACE INFORMATION p/q p'/q' c d Center/ Shading C-R C+R x-value 1/0 0 5 -50/1 0/1 1 5 0.020000 In 0.011056 0.028944 -49/1 0 5 -48/1 0/1 1 5 0.020833 In 0.011516 0.030150 -47/1 1/1 1 5 0.021369 In 0.011651 0.031088 -46/1 1/1 1 5 0.021836 In 0.011901 0.031770 -45/1 0/1 1 5 0.022222 In 0.012284 0.032160 -44/1 1/1 2 5 0.022939 In 0.008235 0.037642 -43/1 1/1 2 5 0.023477 In 0.008424 0.038531 -42/1 1/0 1 5 0.023812 In 0.023559 0.024066 -41/1 1/0 1 5 0.024393 In 0.024127 0.024659 -40/1 0/1 1 5 0.025000 In 0.013820 0.036180 -39/1 0 5 -38/1 0/1 1 5 0.026316 In 0.014547 0.038085 -37/1 1/1 1 5 0.027177 In 0.014762 0.039592 -36/1 1/1 1 5 0.027936 In 0.015167 0.040706 -35/1 0/1 1 5 0.028571 In 0.015794 0.041349 -34/1 1/1 2 5 0.029768 In 0.010613 0.048923 -33/1 1/1 2 5 0.030682 In 0.010928 0.050435 -32/1 1/0 1 5 0.031256 In 0.030819 0.031693 -31/1 1/0 1 5 0.032265 In 0.031799 0.032730 -30/1 0/1 1 5 0.033333 In 0.018426 0.048240 -29/1 0 5 -28/1 0/1 1 5 0.035714 In 0.019742 0.051686 -27/1 1/1 1 5 0.037322 In 0.020140 0.054503 -26/1 1/1 1 5 0.038769 In 0.020901 0.056636 -25/1 0/1 1 5 0.040000 In 0.022111 0.057889 -24/1 1/1 2 5 0.042391 In 0.014921 0.069860 -23/1 1/1 2 5 0.044268 In 0.015553 0.072983 -22/1 1/0 1 5 0.045473 In 0.044549 0.046398 -21/1 1/0 1 5 0.047641 In 0.046626 0.048655 -20/1 0/1 1 5 0.050000 In 0.027639 0.072361 -19/1 0 5 -18/1 0/1 1 5 0.055556 In 0.030710 0.080401 -17/1 1/1 1 5 0.059557 In 0.031683 0.087430 -16/1 1/1 1 5 0.063331 In 0.033610 0.093052 -15/1 0/1 1 5 0.066667 In 0.036852 0.096481 -14/1 1/1 2 5 0.073620 In 0.025118 0.122121 -13/1 1/1 2 5 0.079478 In 0.026961 0.131995 -12/1 1/0 1 5 0.083449 In 0.080339 0.086559 -11/1 1/0 1 5 0.091060 In 0.087358 0.094762 -10/1 0/1 1 5 0.100000 In 0.055279 0.144721 -9/1 0 5 -8/1 0/1 1 5 0.125000 In 0.069098 0.180902 -7/1 1/1 1 5 0.147541 In 0.074227 0.220855 -6/1 1/1 1 5 0.173184 In 0.085740 0.260628 -5/1 0/1 1 5 0.200000 In 0.110557 0.289443 -4/1 1/1 2 5 0.282051 In 0.079341 0.484761 -3/1 1/1 2 5 0.395349 In 0.101183 0.689514 -2/1 1/0 1 5 0.526316 In 0.408628 0.644004 -1/1 1/0 1 5 1.250000 In 0.690983 1.809017 0/1 0/1 1 5 1/1 0 5 2/1 0/1 1 5 -0.500000 In -0.723607 -0.276393 3/1 1/1 1 5 -0.318182 In -0.419821 -0.216542 4/1 1/1 1 5 -0.240506 In -0.325420 -0.155592 5/1 0/1 1 5 -0.200000 In -0.289443 -0.110557 6/1 1/1 2 5 -0.157303 In -0.246131 -0.068475 7/1 1/1 2 5 -0.135802 In -0.213883 -0.057722 8/1 1/0 1 5 -0.125392 In -0.132401 -0.118382 9/1 1/0 1 5 -0.111386 In -0.116921 -0.105851 10/1 0/1 1 5 -0.100000 In -0.144721 -0.055279 11/1 0 5 12/1 0/1 1 5 -0.083333 In -0.120601 -0.046066 13/1 1/1 1 5 -0.075829 In -0.107622 -0.044037 14/1 1/1 1 5 -0.070480 In -0.100173 -0.040788 15/1 0/1 1 5 -0.066667 In -0.096481 -0.036852 16/1 1/1 2 5 -0.061033 In -0.098149 -0.023917 17/1 1/1 2 5 -0.057519 In -0.092582 -0.022456 18/1 1/0 1 5 -0.055590 In -0.056971 -0.054209 19/1 1/0 1 5 -0.052661 In -0.053900 -0.051421 20/1 0/1 1 5 -0.050000 In -0.072361 -0.027639 21/1 0 5 22/1 0/1 1 5 -0.045455 In -0.065782 -0.025127 23/1 1/1 1 5 -0.043116 In -0.061722 -0.024511 24/1 1/1 1 5 -0.041334 In -0.059197 -0.023470 25/1 0/1 1 5 -0.040000 In -0.057889 -0.022111 26/1 1/1 2 5 -0.037892 In -0.061296 -0.014489 27/1 1/1 2 5 -0.036508 In -0.059077 -0.013939 28/1 1/0 1 5 -0.035723 In -0.036294 -0.035153 29/1 1/0 1 5 -0.034491 In -0.035023 -0.033959 30/1 0/1 1 5 -0.033333 In -0.048240 -0.018426 31/1 0 5 32/1 0/1 1 5 -0.031250 In -0.045225 -0.017275 33/1 1/1 1 5 -0.030125 In -0.043269 -0.016981 34/1 1/1 1 5 -0.029244 In -0.042013 -0.016475 35/1 0/1 1 5 -0.028571 In -0.041349 -0.015794 36/1 1/1 2 5 -0.027478 In -0.044563 -0.010392 37/1 1/1 2 5 -0.026743 In -0.043379 -0.010106 38/1 1/0 1 5 -0.026319 In -0.026629 -0.026010 39/1 1/0 1 5 -0.025644 In -0.025938 -0.025350 40/1 0/1 1 5 -0.025000 In -0.036180 -0.013820 41/1 0 5 42/1 0/1 1 5 -0.023810 In -0.034457 -0.013162 43/1 1/1 1 5 -0.023150 In -0.033310 -0.012991 44/1 1/1 1 5 -0.022626 In -0.032560 -0.012692 45/1 0/1 1 5 -0.022222 In -0.032160 -0.012284 46/1 1/1 2 5 -0.021554 In -0.035007 -0.008101 47/1 1/1 2 5 -0.021099 In -0.034272 -0.007927 48/1 1/0 1 5 -0.020835 In -0.021029 -0.020641 49/1 1/0 1 5 -0.020410 In -0.020596 -0.020224 50/1 0/1 1 5 -0.020000 In -0.028944 -0.011056 -49/2 1/1 1 5 0.040903 In 0.031403 0.050403 -47/2 1/0 1 5 0.042557 In 0.042152 0.042962 -45/2 2/1 2 5 0.044875 In 0.029559 0.060191 -43/2 1/1 1 5 0.046625 In 0.035740 0.057510 -41/2 1/0 1 5 0.048786 In 0.048254 0.049318 -39/2 1/1 1 5 0.051420 In 0.039364 0.063477 -37/2 1/0 1 5 0.054062 In 0.053409 0.054715 -35/2 0/1 2 5 0.057143 In 0.039073 0.075213 -33/2 1/1 1 5 0.060801 In 0.046425 0.075177 -31/2 1/0 1 5 0.064530 In 0.063599 0.065460 -29/2 1/1 1 5 0.069220 In 0.052731 0.085708 -27/2 1/0 1 5 0.074094 In 0.072867 0.075322 -25/2 2/1 2 5 0.081489 In 0.052067 0.110910 -23/2 1/1 1 5 0.087368 In 0.066225 0.108510 -21/2 1/0 1 5 0.095281 In 0.093252 0.097310 -19/2 1/1 1 5 0.105876 In 0.079846 0.131905 -17/2 1/0 1 5 0.117729 In 0.114631 0.120826 -15/2 0/1 2 5 0.133333 In 0.091170 0.175497 -13/2 1/1 1 5 0.155213 In 0.115473 0.194954 -11/2 1/0 1 5 0.182119 In 0.174715 0.189523 -9/2 1/1 1 5 0.225248 In 0.164364 0.286131 -7/2 1/0 1 5 0.286885 In 0.268557 0.305214 -5/2 2/1 2 5 0.461538 In 0.218286 0.704791 -3/2 1/1 1 5 0.704545 In 0.450447 0.958644 -1/2 1/0 1 5 2.500000 In 1.381966 3.618034 1/2 1/1 1 5 -2.250000 In -2.809017 -1.690983 3/2 1/0 1 5 -0.681818 In -0.783458 -0.580179 5/2 0/1 2 5 -0.400000 In -0.526491 -0.273509 7/2 1/1 1 5 -0.282787 In -0.328608 -0.236966 9/2 1/0 1 5 -0.222772 In -0.233842 -0.211703 11/2 1/1 1 5 -0.180464 In -0.213782 -0.147145 13/2 1/0 1 5 -0.154028 In -0.159327 -0.148730 15/2 2/1 2 5 -0.130707 In -0.161849 -0.099566 17/2 1/1 1 5 -0.117036 In -0.140264 -0.093808 19/2 1/0 1 5 -0.105322 In -0.107801 -0.102842 21/2 1/1 1 5 -0.094828 In -0.114104 -0.075551 23/2 1/0 1 5 -0.086989 In -0.088681 -0.085298 25/2 0/1 2 5 -0.080000 In -0.105298 -0.054702 27/2 1/1 1 5 -0.073820 In -0.089161 -0.058479 29/2 1/0 1 5 -0.068982 In 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0.089738 0.125113 -26/3 1/0 1 5 0.115419 In 0.113433 0.117404 -25/3 0/1 2 5 0.120000 In 0.094702 0.145298 -23/3 0 5 -22/3 1/2 1 5 0.137247 In 0.093801 0.180693 -20/3 0/1 3 5 0.150000 In 0.111270 0.188730 -19/3 1/1 1 5 0.158537 In 0.131267 0.185806 -17/3 1/0 2 5 0.176715 In 0.170141 0.183290 -16/3 1/0 1 5 0.187647 In 0.182402 0.192891 -14/3 0 5 -13/3 0 5 -11/3 0 5 -10/3 0/1 3 5 0.300000 In 0.222540 0.377460 -8/3 1/1 1 5 0.379310 In 0.302205 0.456416 -7/3 1/0 2 5 0.432099 In 0.393058 0.471139 -5/3 0/1 2 5 0.600000 In 0.473509 0.726491 -4/3 0 5 -2/3 1/0 1 5 1.578947 In 1.225884 1.932011 -1/3 0 5 1/3 1/1 1 5 -3.500000 In -4.618034 -2.381966 2/3 1/1 1 5 -1.526316 In -1.644004 -1.408628 4/3 1/0 1 5 -0.759494 In -0.844408 -0.674580 5/3 0/1 2 5 -0.600000 In -0.726491 -0.473509 7/3 0 5 8/3 1/2 1 5 -0.369906 In -0.461031 -0.278781 10/3 0/1 3 5 -0.300000 In -0.377460 -0.222540 11/3 1/1 1 5 -0.271523 In -0.301140 -0.241906 13/3 1/0 2 5 -0.231317 In -0.242570 -0.220063 14/3 1/0 1 5 -0.214505 In 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-35/4 0/1 1 5 0.114286 In 0.101508 0.127063 -33/4 0 5 -31/4 0/1 1 5 0.129032 In 0.114606 0.143459 -29/4 0 5 -27/4 1/0 2 5 0.148229 In 0.144757 0.151702 -25/4 0/1 1 5 0.160000 In 0.142111 0.177889 -23/4 0 5 -21/4 0/1 1 5 0.190476 In 0.169180 0.211772 -19/4 0 5 -17/4 1/2 2 5 0.238392 In 0.155117 0.321668 -15/4 2/1 1 5 0.269402 In 0.223524 0.315281 -13/4 0 5 -11/4 2/1 1 5 0.369384 In 0.298693 0.440075 -9/4 0 5 -7/4 1/0 2 5 0.576132 In 0.524078 0.628186 -5/4 2/1 1 5 0.842975 In 0.602736 1.083214 -3/4 0 5 -1/4 0/1 1 5 4.000000 In 3.552786 4.447214 1/4 0 5 3/4 1/0 2 5 -1.395349 In -1.689514 -1.101183 5/4 0/1 1 5 -0.800000 In -0.889443 -0.710557 7/4 0 5 9/4 0/1 1 5 -0.444444 In -0.494135 -0.394754 11/4 0 5 13/4 1/0 2 5 -0.308422 In -0.323427 -0.293417 15/4 0/1 1 5 -0.266667 In -0.296481 -0.236852 17/4 0 5 19/4 0/1 1 5 -0.210526 In -0.234064 -0.186989 21/4 0 5 23/4 1/2 2 5 -0.172531 In -0.222783 -0.122279 25/4 2/1 1 5 -0.159564 In -0.171744 -0.147384 27/4 0 5 29/4 2/1 1 5 -0.137586 In 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0/1 1 5 0.161290 In 0.146864 0.175717 -29/5 2/1 1 5 0.173054 In 0.152295 0.193813 -28/5 1/1 1 5 0.178872 In 0.160043 0.197701 -27/5 1/0 1 5 0.185236 In 0.182168 0.188304 -26/5 1/0 2 5 0.192422 In 0.187741 0.197102 -24/5 1/2 2 5 0.209868 In 0.151633 0.268103 -23/5 1/2 1 5 0.218230 In 0.175099 0.261361 -22/5 1/1 1 5 0.227780 In 0.202822 0.252738 -21/5 2/3 1 5 0.241254 In 0.167091 0.315417 -19/5 2/1 1 5 0.264853 In 0.228847 0.300858 -18/5 1/1 1 5 0.278567 In 0.246801 0.310333 -17/5 1/0 1 5 0.294321 In 0.286579 0.302064 -16/5 1/2 2 5 0.316119 In 0.224566 0.407672 -14/5 3/2 2 5 0.376299 In 0.234950 0.517649 -13/5 3/2 1 5 0.395933 In 0.286269 0.505597 -12/5 3/1 1 5 0.426160 In 0.341246 0.511074 -11/5 2/1 1 5 0.460899 In 0.382766 0.539031 -9/5 0/1 1 5 0.555556 In 0.505865 0.605246 -8/5 1/1 1 5 0.630094 In 0.538969 0.721219 -7/5 1/0 1 5 0.717213 In 0.671392 0.763034 -6/5 1/0 2 5 0.842697 In 0.753869 0.931525 -4/5 1/0 2 5 1.282051 In 1.079341 1.484761 -3/5 1/0 1 5 1.704545 In 1.450447 1.958644 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