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 21 0.020000 In 0.015636 0.024364 -49/1 1/0 1 21 0.020409 In 0.020318 0.020499 -48/1 0/1 1 21 0.020833 In 0.016287 0.025380 -47/1 1/0 1 21 0.021277 In 0.021178 0.021376 -46/1 0/1 1 21 0.021739 In 0.016995 0.026483 -45/1 1/0 1 21 0.022223 In 0.022115 0.022331 -44/1 0/1 1 21 0.022727 In 0.017768 0.027687 -43/1 1/0 1 21 0.023256 In 0.023138 0.023374 -42/1 0/1 1 21 0.023810 In 0.018614 0.029005 -41/1 1/0 1 21 0.024391 In 0.024261 0.024521 -40/1 0/1 1 21 0.025000 In 0.019545 0.030455 -39/1 1/0 1 21 0.025642 In 0.025498 0.025785 -38/1 0/1 1 21 0.026316 In 0.020573 0.032058 -37/1 1/0 1 21 0.027028 In 0.026869 0.027187 -36/1 0/1 1 21 0.027778 In 0.021716 0.033839 -35/1 1/0 1 21 0.028573 In 0.028394 0.028751 -34/1 0/1 1 21 0.029412 In 0.022994 0.035830 -33/1 1/0 1 21 0.030304 In 0.030104 0.030505 -32/1 0/1 1 21 0.031250 In 0.024431 0.038069 -31/1 1/0 1 21 0.032260 In 0.032033 0.032487 -30/1 0/1 1 21 0.033333 In 0.026059 0.040607 -29/1 1/0 1 21 0.034485 In 0.034225 0.034744 -28/1 0/1 1 21 0.035714 In 0.027921 0.043508 -27/1 1/0 1 21 0.037039 In 0.036740 0.037339 -26/1 0/1 1 21 0.038462 In 0.030069 0.046855 -25/1 1/0 1 21 0.040003 In 0.039654 0.040352 -24/1 0/1 1 21 0.041667 In 0.032574 0.050759 -23/1 1/0 1 21 0.043482 In 0.043070 0.043895 -22/1 0/1 1 21 0.045455 In 0.035536 0.055374 -21/1 1/0 1 21 0.047624 In 0.047129 0.048119 -20/1 0/1 1 21 0.050000 In 0.039089 0.060911 -19/1 1/0 1 21 0.052639 In 0.052034 0.053243 -18/1 0/1 1 21 0.055556 In 0.043432 0.067679 -17/1 1/0 1 21 0.058833 In 0.058078 0.059588 -16/1 0/1 1 21 0.062500 In 0.048861 0.076139 -15/1 1/0 1 21 0.066681 In 0.065711 0.067651 -14/1 0/1 1 21 0.071429 In 0.055842 0.087016 -13/1 1/0 1 21 0.076945 In 0.075653 0.078236 -12/1 0/1 1 21 0.083333 In 0.065149 0.101518 -11/1 1/0 1 21 0.090945 In 0.089141 0.092749 -10/1 0/1 1 21 0.100000 In 0.078178 0.121822 -9/1 1/0 1 21 0.111176 In 0.108481 0.113872 -8/1 0/1 1 21 0.125000 In 0.097723 0.152277 -7/1 1/0 1 21 0.142996 In 0.138538 0.147454 -6/1 0/1 1 21 0.166667 In 0.130297 0.203036 -5/1 1/0 1 21 0.200382 In 0.191636 0.209127 -4/1 0/1 1 21 0.250000 In 0.195446 0.304554 -3/1 1/0 1 21 0.335106 In 0.310731 0.359482 -2/1 0/1 1 21 0.500000 In 0.390891 0.609109 -1/1 1/0 1 21 1.050000 In 0.820871 1.279129 0/1 0/1 1 21 1/1 1/0 1 21 -1.050000 In -1.279129 -0.820871 2/1 0/1 1 21 -0.500000 In -0.609109 -0.390891 3/1 1/0 1 21 -0.335106 In -0.359482 -0.310731 4/1 0/1 1 21 -0.250000 In -0.304554 -0.195446 5/1 1/0 1 21 -0.200382 In -0.209127 -0.191636 6/1 0/1 1 21 -0.166667 In -0.203036 -0.130297 7/1 1/0 1 21 -0.142996 In -0.147454 -0.138538 8/1 0/1 1 21 -0.125000 In -0.152277 -0.097723 9/1 1/0 1 21 -0.111176 In -0.113872 -0.108481 10/1 0/1 1 21 -0.100000 In -0.121822 -0.078178 11/1 1/0 1 21 -0.090945 In -0.092749 -0.089141 12/1 0/1 1 21 -0.083333 In -0.101518 -0.065149 13/1 1/0 1 21 -0.076945 In -0.078236 -0.075653 14/1 0/1 1 21 -0.071429 In -0.087016 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36/1 0/1 1 21 -0.027778 In -0.033839 -0.021716 37/1 1/0 1 21 -0.027028 In -0.027187 -0.026869 38/1 0/1 1 21 -0.026316 In -0.032058 -0.020573 39/1 1/0 1 21 -0.025642 In -0.025785 -0.025498 40/1 0/1 1 21 -0.025000 In -0.030455 -0.019545 41/1 1/0 1 21 -0.024391 In -0.024521 -0.024261 42/1 0/1 1 21 -0.023810 In -0.029005 -0.018614 43/1 1/0 1 21 -0.023256 In -0.023374 -0.023138 44/1 0/1 1 21 -0.022727 In -0.027687 -0.017768 45/1 1/0 1 21 -0.022223 In -0.022331 -0.022115 46/1 0/1 1 21 -0.021739 In -0.026483 -0.016995 47/1 1/0 1 21 -0.021277 In -0.021376 -0.021178 48/1 0/1 1 21 -0.020833 In -0.025380 -0.016287 49/1 1/0 1 21 -0.020409 In -0.020499 -0.020318 50/1 0/1 1 21 -0.020000 In -0.024364 -0.015636 -49/2 -1/1 1 21 0.040797 In 0.036526 0.045069 -47/2 1/1 1 21 0.042576 In 0.037735 0.047416 -45/2 -1/1 1 21 0.044422 In 0.039788 0.049056 -43/2 1/1 1 21 0.046539 In 0.041228 0.051850 -41/2 -1/1 1 21 0.048754 In 0.043691 0.053816 -39/2 1/1 1 21 0.051315 In 0.045433 0.057197 -37/2 -1/1 1 21 0.054021 In 0.048442 0.059600 -35/2 1/1 1 21 0.057184 In 0.050593 0.063775 -33/2 -1/1 1 21 0.060565 In 0.054353 0.066777 -31/2 1/1 1 21 0.064569 In 0.057075 0.072063 -29/2 -1/1 1 21 0.068913 In 0.061907 0.075919 -27/2 1/1 1 21 0.074144 In 0.065463 0.082826 -25/2 -1/1 1 21 0.079930 In 0.071899 0.087961 -23/2 1/1 1 21 0.087054 In 0.076741 0.097368 -21/2 -1/1 1 21 0.095140 In 0.085738 0.104543 -19/2 1/1 1 21 0.105409 In 0.092713 0.118105 -17/2 -1/1 1 21 0.117502 In 0.106174 0.128830 -15/2 1/1 1 21 0.133573 In 0.117082 0.150064 -13/2 -1/1 1 21 0.153608 In 0.139400 0.167815 -11/2 1/1 1 21 0.182283 In 0.158829 0.205738 -9/2 -1/1 1 21 0.221765 In 0.202895 0.240634 -7/2 1/1 1 21 0.286965 In 0.246845 0.327085 -5/2 -1/1 1 21 0.398855 In 0.372619 0.425091 -3/2 1/1 1 21 0.675532 In 0.553655 0.797409 -1/2 -1/1 1 21 2.050000 In 1.820871 2.279129 1/2 1/1 1 21 -2.050000 In -2.279129 -1.820871 3/2 -1/1 1 21 -0.675532 In -0.797409 -0.553655 5/2 1/1 1 21 -0.398855 In -0.425091 -0.372619 7/2 -1/1 1 21 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-0.040797 In -0.045069 -0.036526 -50/3 0 7 -49/3 0 7 -47/3 0 7 -46/3 0 7 -44/3 0 7 -43/3 0 7 -41/3 0 7 -40/3 0 7 -38/3 0 7 -37/3 0 7 -35/3 0 7 -34/3 0 7 -32/3 0 7 -31/3 0 7 -29/3 0 7 -28/3 0 7 -26/3 0 7 -25/3 0 7 -23/3 0 7 -22/3 0 7 -20/3 0 7 -19/3 0 7 -17/3 0 7 -16/3 0 7 -14/3 0 7 -13/3 0 7 -11/3 0 7 -10/3 0 7 -8/3 0 7 -7/3 0 7 -5/3 0 7 -4/3 0 7 -2/3 0 7 -1/3 0 7 1/3 0 7 2/3 0 7 4/3 0 7 5/3 0 7 7/3 0 7 8/3 0 7 10/3 0 7 11/3 0 7 13/3 0 7 14/3 0 7 16/3 0 7 17/3 0 7 19/3 0 7 20/3 0 7 22/3 0 7 23/3 0 7 25/3 0 7 26/3 0 7 28/3 0 7 29/3 0 7 31/3 0 7 32/3 0 7 34/3 0 7 35/3 0 7 37/3 0 7 38/3 0 7 40/3 0 7 41/3 0 7 43/3 0 7 44/3 0 7 46/3 0 7 47/3 0 7 49/3 0 7 50/3 0 7 -49/4 -1/3 1 21 0.081575 In 0.068578 0.094572 -47/4 1/3 1 21 0.085173 In 0.070849 0.099497 -45/4 3/1 1 21 0.088978 In 0.082835 0.095122 -43/4 -3/1 1 21 0.092968 In 0.089308 0.096627 -41/4 -1/3 1 21 0.097479 In 0.082030 0.112927 -39/4 1/3 1 21 0.102661 In 0.085301 0.120022 -37/4 3/1 1 21 0.108246 In 0.100433 0.116059 -35/4 -3/1 1 21 0.114209 In 0.110110 0.118308 -33/4 -1/3 1 21 0.121086 In 0.102049 0.140124 -31/4 1/3 1 21 0.129187 In 0.107160 0.151215 -29/4 3/1 1 21 0.138171 In 0.127527 0.148815 -27/4 -3/1 1 21 0.148039 In 0.143546 0.152532 -25/4 -1/3 1 21 0.159784 In 0.134992 0.184575 -23/4 1/3 1 21 0.174199 In 0.144083 0.204315 -21/4 3/1 1 21 0.190986 In 0.174641 0.207331 -19/4 -3/1 1 21 0.210380 In 0.206144 0.214617 -17/4 -1/3 1 21 0.234838 In 0.199344 0.270333 -15/4 1/3 1 21 0.267358 In 0.219825 0.314891 -13/4 3/1 1 21 0.309322 In 0.276959 0.341685 -11/4 -3/1 1 21 0.363744 In 0.361934 0.365554 -9/4 -1/3 1 21 0.442941 In 0.380942 0.504941 -7/4 1/3 1 21 0.574903 In 0.463459 0.686347 -5/4 3/1 1 21 0.819767 In 0.668791 0.970744 -3/4 -3/1 1 21 1.383333 In 1.154205 1.612462 -1/4 -1/3 1 21 4.050000 In 3.820871 4.279129 1/4 1/3 1 21 -4.050000 In -4.279129 -3.820871 3/4 3/1 1 21 -1.383333 In -1.612462 -1.154205 5/4 -3/1 1 21 -0.819767 In -0.970744 -0.668791 7/4 -1/3 1 21 -0.574903 In -0.686347 -0.463459 9/4 1/3 1 21 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0.102122 In 0.083854 0.120391 -48/5 2/3 1 21 0.104299 In 0.089712 0.118886 -47/5 3/2 1 21 0.106533 In 0.095763 0.117303 -46/5 4/1 1 21 0.108825 In 0.102016 0.115634 -44/5 -4/1 1 21 0.113583 In 0.110876 0.116289 -43/5 -3/2 1 21 0.116151 In 0.107770 0.124533 -42/5 -2/3 1 21 0.118898 In 0.104547 0.133250 -41/5 -1/4 1 21 0.121841 In 0.101200 0.142482 -39/5 1/4 1 21 0.128334 In 0.105235 0.151434 -38/5 2/3 1 21 0.131794 In 0.113053 0.150536 -37/5 3/2 1 21 0.135386 In 0.121195 0.149577 -36/5 4/1 1 21 0.139118 In 0.129683 0.148552 -34/5 -4/1 1 21 0.146991 In 0.144346 0.149635 -33/5 -3/2 1 21 0.151312 In 0.141089 0.161536 -32/5 -2/3 1 21 0.156000 In 0.137670 0.174330 -31/5 -1/4 1 21 0.161100 In 0.134077 0.188123 -29/5 1/4 1 21 0.172650 In 0.141252 0.204048 -28/5 2/3 1 21 0.178979 In 0.152809 0.205150 -27/5 3/2 1 21 0.185686 In 0.165020 0.206353 -26/5 4/1 1 21 0.192807 In 0.177941 0.207673 -24/5 -4/1 1 21 0.208278 In 0.206761 0.209796 -23/5 -3/2 1 21 0.217027 In 0.204229 0.229825 -22/5 -2/3 1 21 0.226772 In 0.201513 0.252030 -21/5 -1/4 1 21 0.237689 In 0.198594 0.276784 -19/5 1/4 1 21 0.263720 In 0.214751 0.312690 -18/5 2/3 1 21 0.278824 In 0.235693 0.321954 -17/5 3/2 1 21 0.295545 In 0.258491 0.332598 -16/5 4/1 1 21 0.314179 In 0.283401 0.344958 -14/5 -4/1 1 21 0.357561 In 0.350855 0.364267 -13/5 -3/2 1 21 0.383898 In 0.369659 0.398138 -12/5 -2/3 1 21 0.415232 In 0.375779 0.454684 -11/5 -1/4 1 21 0.453150 In 0.382787 0.523512 -9/5 1/4 1 21 0.558235 In 0.447714 0.668756 -8/5 2/3 1 21 0.631343 In 0.515069 0.747618 -7/5 3/2 1 21 0.726471 In 0.596182 0.856760 -6/5 4/1 1 21 0.856757 In 0.695747 1.017766 -4/5 -4/1 1 21 1.300000 In 1.070871 1.529129 -3/5 -3/2 1 21 1.716667 In 1.487538 1.945795 -2/5 -2/3 1 21 2.550000 In 2.320871 2.779129 -1/5 -1/4 1 21 5.050000 In 4.820871 5.279129 1/5 1/4 1 21 -5.050000 In -5.279129 -4.820871 2/5 2/3 1 21 -2.550000 In -2.779129 -2.320871 3/5 3/2 1 21 -1.716667 In -1.945795 -1.487538 4/5 4/1 1 21 -1.300000 In -1.529129 -1.070871 6/5 -4/1 1 21 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