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 7 -49/1 1/0 1 7 0.020409 In 0.020252 0.020567 -48/1 -48/1 1 7 -47/1 1/0 1 7 0.021278 In 0.021107 0.021449 -46/1 -46/1 1 7 -45/1 1/0 1 7 0.022224 In 0.022037 0.022410 -44/1 -44/1 1 7 -43/1 1/0 1 7 0.023258 In 0.023053 0.023462 -42/1 -42/1 1 7 -41/1 1/0 1 7 0.024392 In 0.024167 0.024617 -40/1 -40/1 1 7 -39/1 1/0 1 7 0.025643 In 0.025395 0.025892 -38/1 -38/1 1 7 -37/1 1/0 1 7 0.027030 In 0.026754 0.027306 -36/1 -36/1 1 7 -35/1 1/0 1 7 0.028575 In 0.028266 0.028883 -34/1 -34/1 1 7 -33/1 1/0 1 7 0.030307 In 0.029960 0.030654 -32/1 -32/1 1 7 -31/1 1/0 1 7 0.032263 In 0.031869 0.032656 -30/1 -30/1 1 7 -29/1 1/0 1 7 0.034489 In 0.034039 0.034938 -28/1 -28/1 1 7 -27/1 1/0 1 7 0.037044 In 0.036526 0.037563 -26/1 -26/1 1 7 -25/1 1/0 1 7 0.040009 In 0.039404 0.040614 -24/1 -24/1 1 7 -23/1 1/0 1 7 0.043490 In 0.042775 0.044205 -22/1 -22/1 1 7 -21/1 1/0 1 7 0.047634 In 0.046777 0.048492 -20/1 -20/1 1 7 -19/1 1/0 1 7 0.052652 In 0.051605 0.053700 -18/1 -18/1 1 7 -17/1 1/0 1 7 0.058853 In 0.057544 0.060161 -16/1 -16/1 1 7 -15/1 1/0 1 7 0.066709 In 0.065028 0.068390 -14/1 -14/1 1 7 -13/1 1/0 1 7 0.076988 In 0.074750 0.079227 -12/1 -12/1 1 7 -11/1 1/0 1 7 0.091017 In 0.087889 0.094144 -10/1 -10/1 1 7 -9/1 1/0 1 7 0.111307 In 0.106633 0.115982 -8/1 -8/1 1 7 -7/1 1/0 1 7 0.143275 In 0.135539 0.151011 -6/1 -6/1 1 7 -5/1 1/0 1 7 0.201149 In 0.185944 0.216355 -4/1 -4/1 1 7 -3/1 1/0 1 7 0.338710 In 0.296036 0.381383 -2/1 -2/1 1 7 -1/1 1/0 1 7 1.166667 In 0.725708 1.607625 0/1 0/1 1 7 1/1 1/0 1 7 -1.166667 In -1.607625 -0.725708 2/1 2/1 1 7 3/1 1/0 1 7 -0.338710 In -0.381383 -0.296036 4/1 4/1 1 7 5/1 1/0 1 7 -0.201149 In -0.216355 -0.185944 6/1 6/1 1 7 7/1 1/0 1 7 -0.143275 In -0.151011 -0.135539 8/1 8/1 1 7 9/1 1/0 1 7 -0.111307 In -0.115982 -0.106633 10/1 10/1 1 7 11/1 1/0 1 7 -0.091017 In -0.094144 -0.087889 12/1 12/1 1 7 13/1 1/0 1 7 -0.076988 In -0.079227 -0.074750 14/1 14/1 1 7 15/1 1/0 1 7 -0.066709 In -0.068390 -0.065028 16/1 16/1 1 7 17/1 1/0 1 7 -0.058853 In -0.060161 -0.057544 18/1 18/1 1 7 19/1 1/0 1 7 -0.052652 In -0.053700 -0.051605 20/1 20/1 1 7 21/1 1/0 1 7 -0.047634 In -0.048492 -0.046777 22/1 22/1 1 7 23/1 1/0 1 7 -0.043490 In -0.044205 -0.042775 24/1 24/1 1 7 25/1 1/0 1 7 -0.040009 In -0.040614 -0.039404 26/1 26/1 1 7 27/1 1/0 1 7 -0.037044 In -0.037563 -0.036526 28/1 28/1 1 7 29/1 1/0 1 7 -0.034489 In -0.034938 -0.034039 30/1 30/1 1 7 31/1 1/0 1 7 -0.032263 In -0.032656 -0.031869 32/1 32/1 1 7 33/1 1/0 1 7 -0.030307 In -0.030654 -0.029960 34/1 34/1 1 7 35/1 1/0 1 7 -0.028575 In -0.028883 -0.028266 36/1 36/1 1 7 37/1 1/0 1 7 -0.027030 In -0.027306 -0.026754 38/1 38/1 1 7 39/1 1/0 1 7 -0.025643 In -0.025892 -0.025395 40/1 40/1 1 7 41/1 1/0 1 7 -0.024392 In -0.024617 -0.024167 42/1 42/1 1 7 43/1 1/0 1 7 -0.023258 In -0.023462 -0.023053 44/1 44/1 1 7 45/1 1/0 1 7 -0.022224 In -0.022410 -0.022037 46/1 46/1 1 7 47/1 1/0 1 7 -0.021278 In -0.021449 -0.021107 48/1 48/1 1 7 49/1 1/0 1 7 -0.020409 In -0.020567 -0.020252 50/1 50/1 1 7 -49/2 -25/1 1 7 0.040848 In 0.040684 0.041011 -47/2 -23/1 1 7 0.042520 In 0.042343 0.042698 -45/2 -23/1 1 7 0.044482 In 0.044288 0.044676 -43/2 -21/1 1 7 0.046473 In 0.046261 0.046684 -41/2 -21/1 1 7 0.048826 In 0.048592 0.049059 -39/2 -19/1 1 7 0.051235 In 0.050977 0.051492 -37/2 -19/1 1 7 0.054110 In 0.053823 0.054397 -35/2 -17/1 1 7 0.057084 In 0.056765 0.057404 -33/2 -17/1 1 7 0.060676 In 0.060316 0.061037 -31/2 -15/1 1 7 0.064442 In 0.064035 0.064849 -29/2 -15/1 1 7 0.069057 In 0.068590 0.069524 -27/2 -13/1 1 7 0.073976 In 0.073440 0.074513 -25/2 -13/1 1 7 0.080124 In 0.079495 0.080753 -23/2 -11/1 1 7 0.086823 In 0.086084 0.087562 -21/2 -11/1 1 7 0.095415 In 0.094523 0.096307 -19/2 -9/1 1 7 0.105070 In 0.103988 0.106151 -17/2 -9/1 1 7 0.117920 In 0.116557 0.119282 -15/2 -7/1 1 7 0.133028 In 0.131294 0.134761 -13/2 -7/1 1 7 0.154321 In 0.151988 0.156654 -11/2 -5/1 1 7 0.181265 In 0.178047 0.184484 -9/2 -5/1 1 7 0.223247 In 0.218366 0.228129 -7/2 -3/1 1 7 0.284431 In 0.276510 0.292353 -5/2 -3/1 1 7 0.403614 In 0.387676 0.419553 -3/2 -1/1 1 7 0.661290 In 0.618617 0.703964 -1/2 -1/1 1 7 2.166667 In 1.725708 2.607625 1/2 1/1 1 7 -2.166667 In -2.607625 -1.725708 3/2 1/1 1 7 -0.661290 In -0.703964 -0.618617 5/2 3/1 1 7 -0.403614 In -0.419553 -0.387676 7/2 3/1 1 7 -0.284431 In -0.292353 -0.276510 9/2 5/1 1 7 -0.223247 In -0.228129 -0.218366 11/2 5/1 1 7 -0.181265 In -0.184484 -0.178047 13/2 7/1 1 7 -0.154321 In -0.156654 -0.151988 15/2 7/1 1 7 -0.133028 In -0.134761 -0.131294 17/2 9/1 1 7 -0.117920 In -0.119282 -0.116557 19/2 9/1 1 7 -0.105070 In -0.106151 -0.103988 21/2 11/1 1 7 -0.095415 In -0.096307 -0.094523 23/2 11/1 1 7 -0.086823 In -0.087562 -0.086084 25/2 13/1 1 7 -0.080124 In -0.080753 -0.079495 27/2 13/1 1 7 -0.073976 In -0.074513 -0.073440 29/2 15/1 1 7 -0.069057 In -0.069524 -0.068590 31/2 15/1 1 7 -0.064442 In -0.064849 -0.064035 33/2 17/1 1 7 -0.060676 In -0.061037 -0.060316 35/2 17/1 1 7 -0.057084 In -0.057404 -0.056765 37/2 19/1 1 7 -0.054110 In -0.054397 -0.053823 39/2 19/1 1 7 -0.051235 In -0.051492 -0.050977 41/2 21/1 1 7 -0.048826 In -0.049059 -0.048592 43/2 21/1 1 7 -0.046473 In -0.046684 -0.046261 45/2 23/1 1 7 -0.044482 In -0.044676 -0.044288 47/2 23/1 1 7 -0.042520 In -0.042698 -0.042343 49/2 25/1 1 7 -0.040848 In -0.041011 -0.040684 -50/3 -18/1 1 7 0.060084 In 0.059468 0.060700 -49/3 -33/2 1 7 0.061267 In 0.061099 0.061436 -47/3 -31/2 1 7 0.063784 In 0.063602 0.063967 -46/3 -14/1 1 7 0.065134 In 0.064410 0.065858 -44/3 -16/1 1 7 0.068291 In 0.067495 0.069087 -43/3 -29/2 1 7 0.069823 In 0.069605 0.070042 -41/3 -27/2 1 7 0.073111 In 0.072871 0.073351 -40/3 -12/1 1 7 0.074891 In 0.073934 0.075849 -38/3 -14/1 1 7 0.079096 In 0.078028 0.080164 -37/3 -25/2 1 7 0.081157 In 0.080861 0.081452 -35/3 -23/2 1 7 0.085633 In 0.085304 0.085961 -34/3 -10/1 1 7 0.088088 In 0.086764 0.089412 -32/3 -12/1 1 7 0.093964 In 0.092457 0.095470 -31/3 -21/2 1 7 0.096882 In 0.096461 0.097303 -29/3 -19/2 1 7 0.103330 In 0.102851 0.103808 -28/3 -8/1 1 7 0.106932 In 0.104981 0.108883 -26/3 -10/1 1 7 0.115717 In 0.113432 0.118002 -25/3 -17/2 1 7 0.120166 In 0.119519 0.120814 -23/3 -15/2 1 7 0.130247 In 0.129487 0.131008 -22/3 -6/1 1 7 0.136038 In 0.132881 0.139195 -20/3 -8/1 1 7 0.150585 In 0.146717 0.154453 -19/3 -13/2 1 7 0.158185 In 0.157063 0.159307 -17/3 -11/2 1 7 0.176130 In 0.174739 0.177521 -16/3 -4/1 1 7 0.186937 In 0.180978 0.192896 -14/3 -6/1 1 7 0.215569 In 0.207647 0.223490 -13/3 -9/2 1 7 0.231397 In 0.228997 0.233798 -11/3 -7/2 1 7 0.271930 In 0.268614 0.275245 -10/3 -2/1 1 7 0.298851 In 0.283645 0.314056 -8/3 -4/1 1 7 0.379630 In 0.355132 0.404127 -7/3 -5/2 1 7 0.430818 In 0.422498 0.439138 -5/3 -3/2 1 7 0.596386 In 0.580447 0.612324 -4/3 0/1 1 7 0.750000 In 0.655509 0.844491 -2/3 -2/1 1 7 1.666667 In 1.225708 2.107625 -1/3 -1/2 1 7 3.166667 In 2.725708 3.607625 1/3 1/2 1 7 -3.166667 In -3.607625 -2.725708 2/3 2/1 1 7 -1.666667 In -2.107625 -1.225708 4/3 0/1 1 7 -0.750000 In -0.844491 -0.655509 5/3 3/2 1 7 -0.596386 In -0.612324 -0.580447 7/3 5/2 1 7 -0.430818 In -0.439138 -0.422498 8/3 4/1 1 7 -0.379630 In -0.404127 -0.355132 10/3 2/1 1 7 -0.298851 In -0.314056 -0.283645 11/3 7/2 1 7 -0.271930 In -0.275245 -0.268614 13/3 9/2 1 7 -0.231397 In -0.233798 -0.228997 14/3 6/1 1 7 -0.215569 In -0.223490 -0.207647 16/3 4/1 1 7 -0.186937 In -0.192896 -0.180978 17/3 11/2 1 7 -0.176130 In -0.177521 -0.174739 19/3 13/2 1 7 -0.158185 In -0.159307 -0.157063 20/3 8/1 1 7 -0.150585 In -0.154453 -0.146717 22/3 6/1 1 7 -0.136038 In -0.139195 -0.132881 23/3 15/2 1 7 -0.130247 In -0.131008 -0.129487 25/3 17/2 1 7 -0.120166 In -0.120814 -0.119519 26/3 10/1 1 7 -0.115717 In -0.118002 -0.113432 28/3 8/1 1 7 -0.106932 In -0.108883 -0.104981 29/3 19/2 1 7 -0.103330 In -0.103808 -0.102851 31/3 21/2 1 7 -0.096882 In -0.097303 -0.096461 32/3 12/1 1 7 -0.093964 In -0.095470 -0.092457 34/3 10/1 1 7 -0.088088 In -0.089412 -0.086764 35/3 23/2 1 7 -0.085633 In -0.085961 -0.085304 37/3 25/2 1 7 -0.081157 In -0.081452 -0.080861 38/3 14/1 1 7 -0.079096 In -0.080164 -0.078028 40/3 12/1 1 7 -0.074891 In -0.075849 -0.073934 41/3 27/2 1 7 -0.073111 In -0.073351 -0.072871 43/3 29/2 1 7 -0.069823 In -0.070042 -0.069605 44/3 16/1 1 7 -0.068291 In -0.069087 -0.067495 46/3 14/1 1 7 -0.065134 In -0.065858 -0.064410 47/3 31/2 1 7 -0.063784 In -0.063967 -0.063602 49/3 33/2 1 7 -0.061267 In -0.061436 -0.061099 50/3 18/1 1 7 -0.060084 In -0.060700 -0.059468 -49/4 -11/1 1 7 0.081565 In 0.080773 0.082358 -47/4 -13/1 1 7 0.085197 In 0.084332 0.086062 -45/4 -11/1 1 7 0.088871 In 0.088683 0.089060 -43/4 -11/1 1 7 0.093043 In 0.092837 0.093250 -41/4 -9/1 1 7 0.097467 In 0.096335 0.098599 -39/4 -11/1 1 7 0.102698 In 0.101441 0.103955 -37/4 -9/1 1 7 0.108083 In 0.107804 0.108361 -35/4 -9/1 1 7 0.114316 In 0.114005 0.114627 -33/4 -7/1 1 7 0.121072 In 0.119325 0.122819 -31/4 -9/1 1 7 0.129251 In 0.127260 0.131241 -29/4 -7/1 1 7 0.137890 In 0.137436 0.138343 -27/4 -7/1 1 7 0.148199 In 0.147676 0.148723 -25/4 -5/1 1 7 0.159770 In 0.156729 0.162811 -23/4 -7/1 1 7 0.174330 In 0.170709 0.177950 -21/4 -5/1 1 7 0.190398 In 0.189534 0.191262 -19/4 -5/1 1 7 0.210631 In 0.209574 0.211689 -17/4 -3/1 1 7 0.234856 In 0.228288 0.241424 -15/4 -5/1 1 7 0.267742 In 0.259207 0.276277 -13/4 -3/1 1 7 0.307496 In 0.305242 0.309749 -11/4 -3/1 1 7 0.363962 In 0.360805 0.367119 -9/4 -1/1 1 7 0.443463 In 0.420091 0.466835 -7/4 -3/1 1 7 0.577844 In 0.538237 0.617451 -5/4 -1/1 1 7 0.798851 In 0.783645 0.814056 -3/4 -1/1 1 7 1.338710 In 1.296036 1.381383 -1/4 1/1 1 7 4.833333 In 2.628541 7.038126 1/4 -1/1 1 7 -4.833333 In -7.038126 -2.628541 3/4 1/1 1 7 -1.338710 In -1.381383 -1.296036 5/4 1/1 1 7 -0.798851 In -0.814056 -0.783645 7/4 3/1 1 7 -0.577844 In -0.617451 -0.538237 9/4 1/1 1 7 -0.443463 In -0.466835 -0.420091 11/4 3/1 1 7 -0.363962 In -0.367119 -0.360805 13/4 3/1 1 7 -0.307496 In -0.309749 -0.305242 15/4 5/1 1 7 -0.267742 In -0.276277 -0.259207 17/4 3/1 1 7 -0.234856 In -0.241424 -0.228288 19/4 5/1 1 7 -0.210631 In -0.211689 -0.209574 21/4 5/1 1 7 -0.190398 In -0.191262 -0.189534 23/4 7/1 1 7 -0.174330 In -0.177950 -0.170709 25/4 5/1 1 7 -0.159770 In -0.162811 -0.156729 27/4 7/1 1 7 -0.148199 In -0.148723 -0.147676 29/4 7/1 1 7 -0.137890 In -0.138343 -0.137436 31/4 9/1 1 7 -0.129251 In -0.131241 -0.127260 33/4 7/1 1 7 -0.121072 In -0.122819 -0.119325 35/4 9/1 1 7 -0.114316 In -0.114627 -0.114005 37/4 9/1 1 7 -0.108083 In -0.108361 -0.107804 39/4 11/1 1 7 -0.102698 In -0.103955 -0.101441 41/4 9/1 1 7 -0.097467 In -0.098599 -0.096335 43/4 11/1 1 7 -0.093043 In -0.093250 -0.092837 45/4 11/1 1 7 -0.088871 In -0.089060 -0.088683 47/4 13/1 1 7 -0.085197 In -0.086062 -0.084332 49/4 11/1 1 7 -0.081565 In -0.082358 -0.080773 -49/5 1/0 1 7 0.102047 In 0.101260 0.102834 -48/5 -28/3 1 7 0.104015 In 0.103325 0.104704 -47/5 1/0 1 7 0.106390 In 0.105534 0.107245 -46/5 -10/1 1 7 0.108755 In 0.108035 0.109474 -44/5 -8/1 1 7 0.113582 In 0.112798 0.114367 -43/5 1/0 1 7 0.116288 In 0.115266 0.117310 -42/5 -26/3 1 7 0.119260 In 0.118353 0.120166 -41/5 1/0 1 7 0.121962 In 0.120837 0.123086 -39/5 1/0 1 7 0.128217 In 0.126975 0.129460 -38/5 -22/3 1 7 0.131338 In 0.130239 0.132438 -37/5 1/0 1 7 0.135149 In 0.133769 0.136530 -36/5 -8/1 1 7 0.138988 In 0.137813 0.140162 -34/5 -6/1 1 7 0.146971 In 0.145658 0.148285 -33/5 1/0 1 7 0.151535 In 0.149799 0.153271 -32/5 -20/3 1 7 0.156619 In 0.155056 0.158183 -31/5 1/0 1 7 0.161314 In 0.159347 0.163281 -29/5 1/0 1 7 0.172443 In 0.170196 0.174691 -28/5 -16/3 1 7 0.178135 In 0.176112 0.180157 -27/5 1/0 1 7 0.185221 In 0.182629 0.187814 -26/5 -6/1 1 7 0.192504 In 0.190251 0.194758 -24/5 -4/1 1 7 0.208167 In 0.205532 0.210803 -23/5 1/0 1 7 0.217450 In 0.213877 0.221023 -22/5 -14/3 1 7 0.228070 In 0.224755 0.231386 -21/5 1/0 1 7 0.238172 In 0.233886 0.242459 -19/5 1/0 1 7 0.263262 In 0.258025 0.268499 -18/5 -10/3 1 7 0.276753 In 0.271871 0.281634 -17/5 1/0 1 7 0.294263 In 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