q=0.29289 a=0.0100: primal ratio 0.975671232, upper 0.975671236, margin 2.433e-02  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.29289 a=0.0300: primal ratio 0.975340108, upper 0.975340112, margin 2.466e-02  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.29289 a=0.0500: primal ratio 0.974677436, upper 0.974677436, margin 2.532e-02  (maxrc 6.7e-16, lead>0 True, it 12) 
q=0.29289 a=0.0800: primal ratio 0.973059790, upper 0.973059815, margin 2.694e-02  (maxrc 1.1e-08, lead>0 True, it 60) 
q=0.29289 a=0.1000: primal ratio 0.971563568, upper 0.971563568, margin 2.844e-02  (maxrc 2.2e-16, lead>0 True, it 13) 
q=0.29289 a=0.1300: primal ratio 0.968687645, upper 0.968687645, margin 3.131e-02  (maxrc 6.7e-16, lead>0 True, it 12) 
q=0.29289 a=0.1600: primal ratio 0.965046002, upper 0.965046026, margin 3.495e-02  (maxrc 1.1e-08, lead>0 True, it 60) 
q=0.29289 a=0.2000: primal ratio 0.958979767, upper 0.958979767, margin 4.102e-02  (maxrc 6.7e-16, lead>0 True, it 13) 
q=0.29289 a=0.2500: primal ratio 0.949401702, upper 0.949401702, margin 5.060e-02  (maxrc 1.4e-17, lead>0 True, it 10) 
q=0.29289 a=0.3000: primal ratio 0.937553248, upper 0.937553248, margin 6.245e-02  (maxrc 4.0e-15, lead>0 True, it 8) 
q=0.29289 a=0.3500: primal ratio 0.932270080, upper 0.932270082, margin 6.773e-02  (maxrc 1.0e-09, lead>0 True, it 60) 
q=0.29289 a=0.4000: primal ratio 0.936468603, upper 0.936468606, margin 6.353e-02  (maxrc 1.2e-09, lead>0 True, it 60) 
q=0.29289 a=0.4500: primal ratio 0.945146172, upper 0.945146173, margin 5.485e-02  (maxrc 4.9e-10, lead>0 True, it 60) 
q=0.29289 a=0.5000: primal ratio 0.955776339, upper 0.955776343, margin 4.422e-02  (maxrc 1.6e-09, lead>0 True, it 60) 
q=0.29289 a=0.5500: primal ratio 0.966674357, upper 0.966674361, margin 3.333e-02  (maxrc 1.5e-09, lead>0 True, it 60) 
q=0.29289 a=0.6000: primal ratio 0.976607247, upper 0.976607253, margin 2.339e-02  (maxrc 2.7e-09, lead>0 True, it 60) 
q=0.29289 a=0.6500: primal ratio 0.986209007, upper 0.986209010, margin 1.379e-02  (maxrc 1.8e-09, lead>0 True, it 60) 
q=0.29289 a=0.6800: primal ratio 0.992666603, upper 0.992666605, margin 7.333e-03  (maxrc 7.7e-10, lead>0 True, it 60) 
q=0.29289 a=0.7000: primal ratio 0.997873693, upper 0.997873695, margin 2.126e-03  (maxrc 6.9e-10, lead>0 True, it 60) 
q=0.29289 a=0.7071: primal ratio 0.999997887, upper 0.999997892, margin 2.108e-06  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.29289 a=0.7150: primal ratio 0.999936989, upper 0.999937170, margin 6.283e-05  (maxrc 8.2e-08, lead>0 True, it 60) 
q=0.29289 a=0.7300: primal ratio 0.999458061, upper 0.999458061, margin 5.419e-04  (maxrc 2.7e-15, lead>0 False, it 11) 
q=0.29289 a=0.7600: primal ratio 0.996965994, upper 0.997157290, margin 2.843e-03  (maxrc 8.7e-05, lead>0 True, it 60) 
q=0.29289 a=0.8000: primal ratio 0.989949493, upper 0.989949493, margin 1.005e-02  (maxrc 8.1e-14, lead>0 True, it 40) 
q=0.29289 a=0.8500: primal ratio 0.973662569, upper 0.973662866, margin 2.634e-02  (maxrc 1.4e-07, lead>0 False, it 60) 
q=0.29289 a=0.9000: primal ratio 0.959257890, upper 0.959257935, margin 4.074e-02  (maxrc 2.0e-08, lead>0 False, it 60) 
q=0.29289 a=0.9500: primal ratio 0.963982425, upper 0.963982425, margin 3.602e-02  (maxrc 2.4e-16, lead>0 True, it 60) 
q=0.29289 a=0.9800: primal ratio 0.980577826, upper 0.980577835, margin 1.942e-02  (maxrc 4.1e-09, lead>0 True, it 60) 
== q=0.29289: min margin 2.108e-06 at a=0.7071
q=0.29350 a=0.0100: primal ratio 0.975080545, upper 0.975080549, margin 2.492e-02  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.29350 a=0.0300: primal ratio 0.974749049, upper 0.974749053, margin 2.525e-02  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.29350 a=0.0500: primal ratio 0.974085636, upper 0.974085636, margin 2.591e-02  (maxrc 3.3e-16, lead>0 True, it 13) 
q=0.29350 a=0.0800: primal ratio 0.972466205, upper 0.972466230, margin 2.753e-02  (maxrc 1.1e-08, lead>0 True, it 60) 
q=0.29350 a=0.1000: primal ratio 0.970968364, upper 0.970968364, margin 2.903e-02  (maxrc 4.4e-16, lead>0 True, it 13) 
q=0.29350 a=0.1300: primal ratio 0.968089410, upper 0.968089415, margin 3.191e-02  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.29350 a=0.1600: primal ratio 0.964444090, upper 0.964444090, margin 3.556e-02  (maxrc 4.4e-16, lead>0 True, it 10) 
q=0.29350 a=0.2000: primal ratio 0.958372127, upper 0.958372135, margin 4.163e-02  (maxrc 3.7e-09, lead>0 True, it 60) 
q=0.29350 a=0.2500: primal ratio 0.948786067, upper 0.948786067, margin 5.121e-02  (maxrc 2.2e-16, lead>0 True, it 9) 
q=0.29350 a=0.3000: primal ratio 0.936928262, upper 0.936928295, margin 6.307e-02  (maxrc 1.5e-08, lead>0 True, it 60) 
q=0.29350 a=0.3500: primal ratio 0.931619104, upper 0.931619131, margin 6.838e-02  (maxrc 1.2e-08, lead>0 True, it 60) 
q=0.29350 a=0.4000: primal ratio 0.935797365, upper 0.935797366, margin 6.420e-02  (maxrc 3.8e-10, lead>0 True, it 60) 
q=0.29350 a=0.4500: primal ratio 0.944477278, upper 0.944477279, margin 5.552e-02  (maxrc 6.0e-10, lead>0 True, it 60) 
q=0.29350 a=0.5000: primal ratio 0.955096911, upper 0.955096912, margin 4.490e-02  (maxrc 6.0e-10, lead>0 True, it 60) 
q=0.29350 a=0.5500: primal ratio 0.965994330, upper 0.965994331, margin 3.401e-02  (maxrc 5.6e-10, lead>0 True, it 60) 
q=0.29350 a=0.6000: primal ratio 0.975907804, upper 0.975907810, margin 2.409e-02  (maxrc 2.6e-09, lead>0 True, it 60) 
q=0.29350 a=0.6500: primal ratio 0.985452897, upper 0.985452900, margin 1.455e-02  (maxrc 1.3e-09, lead>0 True, it 60) 
q=0.29350 a=0.6800: primal ratio 0.991858184, upper 0.991858184, margin 8.142e-03  (maxrc 4.4e-16, lead>0 True, it 18) 
q=0.29350 a=0.7000: primal ratio 0.997028140, upper 0.997028140, margin 2.972e-03  (maxrc 0.0e+00, lead>0 True, it 16) 
q=0.29350 a=0.7071: primal ratio 0.999139781, upper 0.999139781, margin 8.602e-04  (maxrc 1.8e-15, lead>0 True, it 22) 
q=0.29350 a=0.7150: primal ratio 0.999078244, upper 1.000203133, margin -2.031e-04  (maxrc 5.1e-04, lead>0 True, it 60) possible violation (dual)
q=0.29350 a=0.7300: primal ratio 0.998600408, upper 0.998600408, margin 1.400e-03  (maxrc 2.0e-13, lead>0 False, it 11) 
q=0.29350 a=0.7600: primal ratio 0.996110059, upper 0.997199780, margin 2.800e-03  (maxrc 5.0e-04, lead>0 True, it 60) 
q=0.29350 a=0.8000: primal ratio 0.989100000, upper 0.989100000, margin 1.090e-02  (maxrc 6.1e-14, lead>0 True, it 30) 
q=0.29350 a=0.8500: primal ratio 0.972751743, upper 0.972751743, margin 2.725e-02  (maxrc 2.0e-18, lead>0 True, it 13) 
q=0.29350 a=0.9000: primal ratio 0.958856962, upper 0.958857009, margin 4.114e-02  (maxrc 2.1e-08, lead>0 False, it 60) 
q=0.29350 a=0.9500: primal ratio 0.963862295, upper 0.963862295, margin 3.614e-02  (maxrc 1.7e-11, lead>0 True, it 16) 
q=0.29350 a=0.9800: primal ratio 0.980571515, upper 0.980571524, margin 1.943e-02  (maxrc 4.1e-09, lead>0 True, it 60) 
== q=0.29350: min margin -2.031e-04 at a=0.715
q=0.29500 a=0.0100: primal ratio 0.973632321, upper 0.973632338, margin 2.637e-02  (maxrc 7.6e-09, lead>0 True, it 60) 
q=0.29500 a=0.0300: primal ratio 0.973299917, upper 0.973299917, margin 2.670e-02  (maxrc 3.3e-16, lead>0 True, it 11) 
q=0.29500 a=0.0500: primal ratio 0.972634696, upper 0.972634696, margin 2.737e-02  (maxrc 0.0e+00, lead>0 True, it 13) 
q=0.29500 a=0.0800: primal ratio 0.971010910, upper 0.971010910, margin 2.899e-02  (maxrc 5.6e-17, lead>0 True, it 12) 
q=0.29500 a=0.1000: primal ratio 0.969509109, upper 0.969509109, margin 3.049e-02  (maxrc 4.4e-16, lead>0 True, it 13) 
q=0.29500 a=0.1300: primal ratio 0.966622746, upper 0.966622750, margin 3.338e-02  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.29500 a=0.1600: primal ratio 0.962968419, upper 0.962968419, margin 3.703e-02  (maxrc 2.2e-16, lead>0 True, it 13) 
q=0.29500 a=0.2000: primal ratio 0.956882405, upper 0.956882405, margin 4.312e-02  (maxrc 4.4e-16, lead>0 True, it 11) 
q=0.29500 a=0.2500: primal ratio 0.947276643, upper 0.947276647, margin 5.272e-02  (maxrc 1.8e-09, lead>0 True, it 60) 
q=0.29500 a=0.3000: primal ratio 0.935395806, upper 0.935395806, margin 6.460e-02  (maxrc 1.1e-15, lead>0 True, it 9) 
q=0.29500 a=0.3500: primal ratio 0.930022940, upper 0.930022943, margin 6.998e-02  (maxrc 1.0e-09, lead>0 True, it 60) 
q=0.29500 a=0.4000: primal ratio 0.934149527, upper 0.934149528, margin 6.585e-02  (maxrc 2.7e-10, lead>0 True, it 60) 
q=0.29500 a=0.4500: primal ratio 0.942836640, upper 0.942836641, margin 5.716e-02  (maxrc 6.0e-10, lead>0 True, it 60) 
q=0.29500 a=0.5000: primal ratio 0.953426640, upper 0.953426644, margin 4.657e-02  (maxrc 1.5e-09, lead>0 True, it 60) 
q=0.29500 a=0.5500: primal ratio 0.964323348, upper 0.964323351, margin 3.568e-02  (maxrc 1.2e-09, lead>0 True, it 60) 
q=0.29500 a=0.6000: primal ratio 0.974189933, upper 0.974189936, margin 2.581e-02  (maxrc 1.4e-09, lead>0 True, it 60) 
q=0.29500 a=0.6500: primal ratio 0.983591153, upper 0.983591157, margin 1.641e-02  (maxrc 1.8e-09, lead>0 True, it 60) 
q=0.29500 a=0.6800: primal ratio 0.989863438, upper 0.989863440, margin 1.014e-02  (maxrc 7.1e-10, lead>0 True, it 60) 
q=0.29500 a=0.7000: primal ratio 0.994938852, upper 0.994938852, margin 5.061e-03  (maxrc 3.5e-16, lead>0 True, it 24) 
q=0.29500 a=0.7071: primal ratio 0.997018491, upper 0.997018491, margin 2.982e-03  (maxrc 1.7e-13, lead>0 True, it 58) 
q=0.29500 a=0.7150: primal ratio 0.996957739, upper 0.996957739, margin 3.042e-03  (maxrc 3.0e-13, lead>0 False, it 55) 
q=0.29500 a=0.7300: primal ratio 0.996478032, upper 0.996552247, margin 3.448e-03  (maxrc 3.4e-05, lead>0 True, it 60) 
q=0.29500 a=0.7600: primal ratio 0.993995766, upper 0.993995770, margin 6.004e-03  (maxrc 1.8e-09, lead>0 True, it 60) 
q=0.29500 a=0.8000: primal ratio 0.986997732, upper 0.987095513, margin 1.290e-02  (maxrc 4.5e-05, lead>0 True, it 60) 
q=0.29500 a=0.8500: primal ratio 0.970785544, upper 0.970785544, margin 2.921e-02  (maxrc 5.2e-13, lead>0 True, it 60) 
q=0.29500 a=0.9000: primal ratio 0.957882470, upper 0.957882523, margin 4.212e-02  (maxrc 2.4e-08, lead>0 False, it 60) 
q=0.29500 a=0.9500: primal ratio 0.963565613, upper 0.963565613, margin 3.643e-02  (maxrc 1.5e-11, lead>0 True, it 60) 
q=0.29500 a=0.9800: primal ratio 0.980556259, upper 0.980556269, margin 1.944e-02  (maxrc 4.5e-09, lead>0 True, it 60) 
== q=0.29500: min margin 2.982e-03 at a=0.7071
q=0.30000 a=0.0100: primal ratio 0.968926086, upper 0.968926102, margin 3.107e-02  (maxrc 7.6e-09, lead>0 True, it 60) 
q=0.30000 a=0.0300: primal ratio 0.968590771, upper 0.968590776, margin 3.141e-02  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.30000 a=0.0500: primal ratio 0.967919754, upper 0.967919791, margin 3.208e-02  (maxrc 1.7e-08, lead>0 True, it 60) 
q=0.30000 a=0.0800: primal ratio 0.966281990, upper 0.966281990, margin 3.372e-02  (maxrc 6.7e-16, lead>0 True, it 11) 
q=0.30000 a=0.1000: primal ratio 0.964767467, upper 0.964767467, margin 3.523e-02  (maxrc 8.9e-16, lead>0 True, it 12) 
q=0.30000 a=0.1300: primal ratio 0.961857223, upper 0.961857227, margin 3.814e-02  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.30000 a=0.1600: primal ratio 0.958173749, upper 0.958173765, margin 4.183e-02  (maxrc 7.4e-09, lead>0 True, it 60) 
q=0.30000 a=0.2000: primal ratio 0.952041958, upper 0.952041994, margin 4.796e-02  (maxrc 1.7e-08, lead>0 True, it 60) 
q=0.30000 a=0.2500: primal ratio 0.942371237, upper 0.942371237, margin 5.763e-02  (maxrc 4.4e-16, lead>0 True, it 13) 
q=0.30000 a=0.3000: primal ratio 0.930414406, upper 0.930414413, margin 6.959e-02  (maxrc 3.4e-09, lead>0 True, it 60) 
q=0.30000 a=0.3500: primal ratio 0.924834566, upper 0.924834568, margin 7.517e-02  (maxrc 1.0e-09, lead>0 True, it 60) 
q=0.30000 a=0.4000: primal ratio 0.928804424, upper 0.928804425, margin 7.120e-02  (maxrc 6.2e-10, lead>0 True, it 60) 
q=0.30000 a=0.4500: primal ratio 0.937498596, upper 0.937498620, margin 6.250e-02  (maxrc 1.1e-08, lead>0 True, it 60) 
q=0.30000 a=0.5000: primal ratio 0.948007487, upper 0.948007530, margin 5.199e-02  (maxrc 2.0e-08, lead>0 True, it 60) 
q=0.30000 a=0.5500: primal ratio 0.958893099, upper 0.958893105, margin 4.111e-02  (maxrc 3.0e-09, lead>0 True, it 60) 
q=0.30000 a=0.6000: primal ratio 0.968577721, upper 0.968577723, margin 3.142e-02  (maxrc 6.0e-10, lead>0 True, it 60) 
q=0.30000 a=0.6500: primal ratio 0.977460818, upper 0.977460819, margin 2.254e-02  (maxrc 7.1e-10, lead>0 True, it 60) 
q=0.30000 a=0.6800: primal ratio 0.983252082, upper 0.983252084, margin 1.675e-02  (maxrc 8.0e-10, lead>0 True, it 60) 
q=0.30000 a=0.7000: primal ratio 0.987984414, upper 0.987984420, margin 1.202e-02  (maxrc 2.9e-09, lead>0 True, it 60) 
q=0.30000 a=0.7071: primal ratio 0.989949242, upper 0.989949242, margin 1.005e-02  (maxrc 2.1e-14, lead>0 False, it 60) 
q=0.30000 a=0.7150: primal ratio 0.989884002, upper 0.990188326, margin 9.812e-03  (maxrc 1.4e-04, lead>0 True, it 60) 
q=0.30000 a=0.7300: primal ratio 0.989413001, upper 0.989413001, margin 1.059e-02  (maxrc 1.2e-16, lead>0 True, it 60) 
q=0.30000 a=0.7600: primal ratio 0.986946151, upper 0.986946151, margin 1.305e-02  (maxrc 1.1e-16, lead>0 True, it 60) 
q=0.30000 a=0.8000: primal ratio 0.979947130, upper 0.980411621, margin 1.959e-02  (maxrc 2.1e-04, lead>0 True, it 60) 
q=0.30000 a=0.8500: primal ratio 0.964572665, upper 0.964572811, margin 3.543e-02  (maxrc 6.7e-08, lead>0 True, it 60) 
q=0.30000 a=0.9000: primal ratio 0.954796286, upper 0.954796360, margin 4.520e-02  (maxrc 3.4e-08, lead>0 False, it 60) 
q=0.30000 a=0.9500: primal ratio 0.962579230, upper 0.962579230, margin 3.742e-02  (maxrc 6.9e-17, lead>0 True, it 60) 
q=0.30000 a=0.9800: primal ratio 0.980508764, upper 0.980508776, margin 1.949e-02  (maxrc 5.5e-09, lead>0 True, it 60) 
== q=0.30000: min margin 9.812e-03 at a=0.715
q=0.32000 a=0.0100: primal ratio 0.951853129, upper 0.951853133, margin 4.815e-02  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.32000 a=0.0300: primal ratio 0.951507797, upper 0.951507797, margin 4.849e-02  (maxrc 2.2e-16, lead>0 True, it 12) 
q=0.32000 a=0.0500: primal ratio 0.950816795, upper 0.950816795, margin 4.918e-02  (maxrc 4.4e-16, lead>0 True, it 13) 
q=0.32000 a=0.0800: primal ratio 0.949130587, upper 0.949130591, margin 5.087e-02  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.32000 a=0.1000: primal ratio 0.947571698, upper 0.947571698, margin 5.243e-02  (maxrc 4.4e-16, lead>0 True, it 13) 
q=0.32000 a=0.1300: primal ratio 0.944577386, upper 0.944577386, margin 5.542e-02  (maxrc 2.2e-16, lead>0 True, it 10) 
q=0.32000 a=0.1600: primal ratio 0.940789810, upper 0.940789810, margin 5.921e-02  (maxrc 1.1e-15, lead>0 True, it 13) 
q=0.32000 a=0.2000: primal ratio 0.934490679, upper 0.934490683, margin 6.551e-02  (maxrc 1.8e-09, lead>0 True, it 60) 
q=0.32000 a=0.2500: primal ratio 0.924572213, upper 0.924572217, margin 7.543e-02  (maxrc 1.8e-09, lead>0 True, it 60) 
q=0.32000 a=0.3000: primal ratio 0.912322287, upper 0.912322291, margin 8.768e-02  (maxrc 1.7e-09, lead>0 True, it 60) 
q=0.32000 a=0.3500: primal ratio 0.905990277, upper 0.905990277, margin 9.401e-02  (maxrc 5.6e-17, lead>0 True, it 8) 
q=0.32000 a=0.4000: primal ratio 0.909406388, upper 0.909406396, margin 9.059e-02  (maxrc 3.7e-09, lead>0 True, it 60) 
q=0.32000 a=0.4500: primal ratio 0.918051528, upper 0.918051531, margin 8.195e-02  (maxrc 1.3e-09, lead>0 True, it 60) 
q=0.32000 a=0.5000: primal ratio 0.928330790, upper 0.928330791, margin 7.167e-02  (maxrc 4.1e-10, lead>0 True, it 60) 
q=0.32000 a=0.5500: primal ratio 0.939079936, upper 0.939079941, margin 6.092e-02  (maxrc 2.1e-09, lead>0 True, it 60) 
q=0.32000 a=0.6000: primal ratio 0.947828080, upper 0.947828084, margin 5.217e-02  (maxrc 1.8e-09, lead>0 True, it 60) 
q=0.32000 a=0.6500: primal ratio 0.954074423, upper 0.954074423, margin 4.593e-02  (maxrc 4.0e-15, lead>0 True, it 25) 
q=0.32000 a=0.6800: primal ratio 0.957373420, upper 0.957373420, margin 4.263e-02  (maxrc 2.8e-17, lead>0 True, it 21) 
q=0.32000 a=0.7000: primal ratio 0.960313498, upper 0.960313504, margin 3.969e-02  (maxrc 2.5e-09, lead>0 True, it 60) 
q=0.32000 a=0.7071: primal ratio 0.961663834, upper 0.961663834, margin 3.834e-02  (maxrc 4.4e-16, lead>0 True, it 19) 
q=0.32000 a=0.7150: primal ratio 0.961542019, upper 0.961950513, margin 3.805e-02  (maxrc 1.9e-04, lead>0 True, it 60) 
q=0.32000 a=0.7300: primal ratio 0.961083471, upper 0.961514566, margin 3.849e-02  (maxrc 2.0e-04, lead>0 True, it 60) 
q=0.32000 a=0.7600: primal ratio 0.958691382, upper 0.959168684, margin 4.083e-02  (maxrc 2.2e-04, lead>0 True, it 60) 
q=0.32000 a=0.8000: primal ratio 0.952000826, upper 0.952000850, margin 4.800e-02  (maxrc 1.1e-08, lead>0 True, it 60) 
q=0.32000 a=0.8500: primal ratio 0.944278046, upper 0.944278048, margin 5.572e-02  (maxrc 1.1e-09, lead>0 True, it 60) 
q=0.32000 a=0.9000: primal ratio 0.944533549, upper 0.944533755, margin 5.547e-02  (maxrc 9.6e-08, lead>0 False, it 60) 
q=0.32000 a=0.9500: primal ratio 0.959202160, upper 0.959202169, margin 4.080e-02  (maxrc 4.2e-09, lead>0 True, it 60) 
q=0.32000 a=0.9800: primal ratio 0.980369040, upper 0.980369041, margin 1.963e-02  (maxrc 8.2e-10, lead>0 True, it 60) 
== q=0.32000: min margin 1.963e-02 at a=0.98
q=0.35000 a=0.0100: primal ratio 0.930909782, upper 0.930909786, margin 6.909e-02  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.35000 a=0.0300: primal ratio 0.930553303, upper 0.930553307, margin 6.945e-02  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.35000 a=0.0500: primal ratio 0.929839979, upper 0.929839983, margin 7.016e-02  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.35000 a=0.0800: primal ratio 0.928099198, upper 0.928099202, margin 7.190e-02  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.35000 a=0.1000: primal ratio 0.926489733, upper 0.926489737, margin 7.351e-02  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.35000 a=0.1300: primal ratio 0.923397948, upper 0.923397983, margin 7.660e-02  (maxrc 1.7e-08, lead>0 True, it 60) 
q=0.35000 a=0.1600: primal ratio 0.919486477, upper 0.919486524, margin 8.051e-02  (maxrc 2.2e-08, lead>0 True, it 60) 
q=0.35000 a=0.2000: primal ratio 0.912979895, upper 0.912979895, margin 8.702e-02  (maxrc 4.4e-16, lead>0 True, it 13) 
q=0.35000 a=0.2500: primal ratio 0.902731562, upper 0.902731570, margin 9.727e-02  (maxrc 3.6e-09, lead>0 True, it 60) 
q=0.35000 a=0.3000: primal ratio 0.890068638, upper 0.890068660, margin 1.099e-01  (maxrc 1.1e-08, lead>0 True, it 60) 
q=0.35000 a=0.3500: primal ratio 0.882807582, upper 0.882807584, margin 1.172e-01  (maxrc 1.0e-09, lead>0 True, it 60) 
q=0.35000 a=0.4000: primal ratio 0.885585799, upper 0.885585807, margin 1.144e-01  (maxrc 3.5e-09, lead>0 True, it 60) 
q=0.35000 a=0.4500: primal ratio 0.894030956, upper 0.894030973, margin 1.060e-01  (maxrc 8.5e-09, lead>0 True, it 60) 
q=0.35000 a=0.5000: primal ratio 0.904202266, upper 0.904202273, margin 9.580e-02  (maxrc 3.5e-09, lead>0 True, it 60) 
q=0.35000 a=0.5500: primal ratio 0.914577068, upper 0.914577071, margin 8.542e-02  (maxrc 1.7e-09, lead>0 True, it 60) 
q=0.35000 a=0.6000: primal ratio 0.921493250, upper 0.921493250, margin 7.851e-02  (maxrc 0.0e+00, lead>0 True, it 18) 
q=0.35000 a=0.6500: primal ratio 0.923377779, upper 0.923377779, margin 7.662e-02  (maxrc 3.0e-14, lead>0 True, it 14) 
q=0.35000 a=0.6800: primal ratio 0.923560456, upper 0.923560456, margin 7.644e-02  (maxrc 1.7e-14, lead>0 True, it 15) 
q=0.35000 a=0.7000: primal ratio 0.923292304, upper 0.923292304, margin 7.671e-02  (maxrc 1.6e-11, lead>0 True, it 13) 
q=0.35000 a=0.7071: primal ratio 0.923122060, upper 0.923122104, margin 7.688e-02  (maxrc 2.1e-08, lead>0 True, it 60) 
q=0.35000 a=0.7150: primal ratio 0.922366041, upper 0.922366041, margin 7.763e-02  (maxrc 3.0e-14, lead>0 True, it 13) 
q=0.35000 a=0.7300: primal ratio 0.920599066, upper 0.920599066, margin 7.940e-02  (maxrc 2.0e-10, lead>0 True, it 60) 
q=0.35000 a=0.7600: primal ratio 0.917450883, upper 0.917450883, margin 8.255e-02  (maxrc 6.9e-14, lead>0 True, it 8) 
q=0.35000 a=0.8000: primal ratio 0.917873814, upper 0.917873820, margin 8.213e-02  (maxrc 2.8e-09, lead>0 True, it 60) 
q=0.35000 a=0.8500: primal ratio 0.922505716, upper 0.922505716, margin 7.749e-02  (maxrc 4.1e-13, lead>0 False, it 60) 
q=0.35000 a=0.9000: primal ratio 0.933464814, upper 0.933464929, margin 6.654e-02  (maxrc 5.5e-08, lead>0 False, it 60) 
q=0.35000 a=0.9500: primal ratio 0.955682299, upper 0.955682306, margin 4.432e-02  (maxrc 3.5e-09, lead>0 True, it 60) 
q=0.35000 a=0.9800: primal ratio 0.980233920, upper 0.980233920, margin 1.977e-02  (maxrc 2.1e-10, lead>0 True, it 60) 
== q=0.35000: min margin 1.977e-02 at a=0.98
q=0.37500 a=0.0100: primal ratio 0.917153330, upper 0.917153334, margin 8.285e-02  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.37500 a=0.0300: primal ratio 0.916790202, upper 0.916790209, margin 8.321e-02  (maxrc 3.8e-09, lead>0 True, it 60) 
q=0.37500 a=0.0500: primal ratio 0.916063512, upper 0.916063520, margin 8.394e-02  (maxrc 3.8e-09, lead>0 True, it 60) 
q=0.37500 a=0.0800: primal ratio 0.914289778, upper 0.914289814, margin 8.571e-02  (maxrc 1.7e-08, lead>0 True, it 60) 
q=0.37500 a=0.1000: primal ratio 0.912649423, upper 0.912649423, margin 8.735e-02  (maxrc 1.1e-16, lead>0 True, it 12) 
q=0.37500 a=0.1300: primal ratio 0.909497112, upper 0.909497116, margin 9.050e-02  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.37500 a=0.1600: primal ratio 0.905506776, upper 0.905506780, margin 9.449e-02  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.37500 a=0.2000: primal ratio 0.898863043, upper 0.898863077, margin 1.011e-01  (maxrc 1.7e-08, lead>0 True, it 60) 
q=0.37500 a=0.2500: primal ratio 0.888400838, upper 0.888400849, margin 1.116e-01  (maxrc 5.1e-09, lead>0 True, it 60) 
q=0.37500 a=0.3000: primal ratio 0.875501865, upper 0.875501865, margin 1.245e-01  (maxrc 1.0e-15, lead>0 True, it 8) 
q=0.37500 a=0.3500: primal ratio 0.867525791, upper 0.867525800, margin 1.325e-01  (maxrc 4.1e-09, lead>0 True, it 60) 
q=0.37500 a=0.4000: primal ratio 0.869903381, upper 0.869903396, margin 1.301e-01  (maxrc 6.9e-09, lead>0 True, it 60) 
q=0.37500 a=0.4500: primal ratio 0.878152549, upper 0.878152550, margin 1.218e-01  (maxrc 3.5e-10, lead>0 True, it 60) 
q=0.37500 a=0.5000: primal ratio 0.888377326, upper 0.888377328, margin 1.116e-01  (maxrc 6.9e-10, lead>0 True, it 60) 
q=0.37500 a=0.5500: primal ratio 0.898409098, upper 0.898409107, margin 1.016e-01  (maxrc 4.2e-09, lead>0 True, it 60) 
q=0.37500 a=0.6000: primal ratio 0.903636363, upper 0.903636363, margin 9.636e-02  (maxrc 2.7e-15, lead>0 True, it 11) 
q=0.37500 a=0.6500: primal ratio 0.905277155, upper 0.905277155, margin 9.472e-02  (maxrc 4.0e-15, lead>0 True, it 16) 
q=0.37500 a=0.6800: primal ratio 0.905949687, upper 0.905949766, margin 9.405e-02  (maxrc 3.8e-08, lead>0 True, it 60) 
q=0.37500 a=0.7000: primal ratio 0.906016516, upper 0.906016516, margin 9.398e-02  (maxrc 1.0e-11, lead>0 True, it 12) 
q=0.37500 a=0.7071: primal ratio 0.905944828, upper 0.905944828, margin 9.406e-02  (maxrc 1.1e-16, lead>0 True, it 12) 
q=0.37500 a=0.7150: primal ratio 0.905675221, upper 0.905675221, margin 9.432e-02  (maxrc 1.0e-10, lead>0 True, it 60) 
q=0.37500 a=0.7300: primal ratio 0.905061327, upper 0.905061328, margin 9.494e-02  (maxrc 7.1e-10, lead>0 True, it 60) 
q=0.37500 a=0.7600: primal ratio 0.903345603, upper 0.903345603, margin 9.665e-02  (maxrc 1.4e-13, lead>0 True, it 60) 
q=0.37500 a=0.8000: primal ratio 0.900393183, upper 0.900393212, margin 9.961e-02  (maxrc 1.4e-08, lead>0 True, it 60) 
q=0.37500 a=0.8500: primal ratio 0.909547639, upper 0.909547785, margin 9.045e-02  (maxrc 7.1e-08, lead>0 False, it 60) 
q=0.37500 a=0.9000: primal ratio 0.926587563, upper 0.926587563, margin 7.341e-02  (maxrc 5.6e-17, lead>0 True, it 11) 
q=0.37500 a=0.9500: primal ratio 0.953808315, upper 0.953808330, margin 4.619e-02  (maxrc 7.7e-09, lead>0 True, it 60) 
q=0.37500 a=0.9800: primal ratio 0.980162641, upper 0.980162651, margin 1.984e-02  (maxrc 5.3e-09, lead>0 True, it 60) 
== q=0.37500: min margin 1.984e-02 at a=0.98
q=0.42000 a=0.0100: primal ratio 0.899619211, upper 0.899619215, margin 1.004e-01  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.42000 a=0.0300: primal ratio 0.899259254, upper 0.899259254, margin 1.007e-01  (maxrc 4.4e-16, lead>0 True, it 60) 
q=0.42000 a=0.0500: primal ratio 0.898538910, upper 0.898538910, margin 1.015e-01  (maxrc 0.0e+00, lead>0 True, it 60) 
q=0.42000 a=0.0800: primal ratio 0.896780648, upper 0.896780651, margin 1.032e-01  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.42000 a=0.1000: primal ratio 0.895154556, upper 0.895154745, margin 1.048e-01  (maxrc 9.3e-08, lead>0 True, it 60) 
q=0.42000 a=0.1300: primal ratio 0.892029638, upper 0.892029642, margin 1.080e-01  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.42000 a=0.1600: primal ratio 0.888073833, upper 0.888073833, margin 1.119e-01  (maxrc 2.2e-16, lead>0 True, it 60) 
q=0.42000 a=0.2000: primal ratio 0.881487286, upper 0.881487290, margin 1.185e-01  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.42000 a=0.2500: primal ratio 0.871096110, upper 0.871096114, margin 1.289e-01  (maxrc 1.8e-09, lead>0 True, it 60) 
q=0.42000 a=0.3000: primal ratio 0.858224945, upper 0.858224945, margin 1.418e-01  (maxrc 2.1e-10, lead>0 True, it 60) 
q=0.42000 a=0.3500: primal ratio 0.848085670, upper 0.848085675, margin 1.519e-01  (maxrc 2.4e-09, lead>0 True, it 60) 
q=0.42000 a=0.4000: primal ratio 0.849843698, upper 0.849843699, margin 1.502e-01  (maxrc 5.5e-10, lead>0 True, it 60) 
q=0.42000 a=0.4500: primal ratio 0.857829274, upper 0.857829275, margin 1.422e-01  (maxrc 6.4e-10, lead>0 True, it 60) 
q=0.42000 a=0.5000: primal ratio 0.868255688, upper 0.868255689, margin 1.317e-01  (maxrc 3.3e-10, lead>0 True, it 60) 
q=0.42000 a=0.5500: primal ratio 0.877764844, upper 0.877764844, margin 1.222e-01  (maxrc 3.8e-10, lead>0 True, it 60) 
q=0.42000 a=0.6000: primal ratio 0.881169304, upper 0.881169304, margin 1.188e-01  (maxrc 1.2e-10, lead>0 True, it 60) 
q=0.42000 a=0.6500: primal ratio 0.884928701, upper 0.884928701, margin 1.151e-01  (maxrc 1.3e-15, lead>0 True, it 18) 
q=0.42000 a=0.6800: primal ratio 0.887961797, upper 0.887961801, margin 1.120e-01  (maxrc 2.2e-09, lead>0 True, it 60) 
q=0.42000 a=0.7000: primal ratio 0.889566524, upper 0.889566524, margin 1.104e-01  (maxrc 1.8e-14, lead>0 True, it 60) 
q=0.42000 a=0.7071: primal ratio 0.889994683, upper 0.889994755, margin 1.100e-01  (maxrc 3.5e-08, lead>0 True, it 60) 
q=0.42000 a=0.7150: primal ratio 0.890378481, upper 0.890378658, margin 1.096e-01  (maxrc 8.7e-08, lead>0 True, it 60) 
q=0.42000 a=0.7300: primal ratio 0.890825310, upper 0.890825310, margin 1.092e-01  (maxrc 0.0e+00, lead>0 True, it 60) 
q=0.42000 a=0.7600: primal ratio 0.890505871, upper 0.890505874, margin 1.095e-01  (maxrc 1.4e-09, lead>0 True, it 60) 
q=0.42000 a=0.8000: primal ratio 0.887968031, upper 0.887968167, margin 1.120e-01  (maxrc 6.8e-08, lead>0 True, it 60) 
q=0.42000 a=0.8500: primal ratio 0.895608481, upper 0.895608674, margin 1.044e-01  (maxrc 9.5e-08, lead>0 False, it 60) 
q=0.42000 a=0.9000: primal ratio 0.917305307, upper 0.917305423, margin 8.269e-02  (maxrc 5.7e-08, lead>0 True, it 60) 
q=0.42000 a=0.9500: primal ratio 0.951854147, upper 0.951854219, margin 4.815e-02  (maxrc 3.6e-08, lead>0 True, it 60) 
q=0.42000 a=0.9800: primal ratio 0.980086550, upper 0.980086550, margin 1.991e-02  (maxrc 1.2e-10, lead>0 True, it 60) 
== q=0.42000: min margin 1.991e-02 at a=0.98
q=0.50000 a=0.0100: primal ratio 0.888029430, upper 0.888029434, margin 1.120e-01  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.50000 a=0.0300: primal ratio 0.887674110, upper 0.887674114, margin 1.123e-01  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.50000 a=0.0500: primal ratio 0.886963046, upper 0.886963050, margin 1.130e-01  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.50000 a=0.0800: primal ratio 0.885227436, upper 0.885227439, margin 1.148e-01  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.50000 a=0.1000: primal ratio 0.883622307, upper 0.883622311, margin 1.164e-01  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.50000 a=0.1300: primal ratio 0.880537633, upper 0.880537655, margin 1.195e-01  (maxrc 1.1e-08, lead>0 True, it 60) 
q=0.50000 a=0.1600: primal ratio 0.876632791, upper 0.876632795, margin 1.234e-01  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.50000 a=0.2000: primal ratio 0.870131098, upper 0.870131102, margin 1.299e-01  (maxrc 1.9e-09, lead>0 True, it 60) 
q=0.50000 a=0.2500: primal ratio 0.859873791, upper 0.859873813, margin 1.401e-01  (maxrc 1.1e-08, lead>0 True, it 60) 
q=0.50000 a=0.3000: primal ratio 0.847168443, upper 0.847168447, margin 1.528e-01  (maxrc 1.8e-09, lead>0 True, it 60) 
q=0.50000 a=0.3500: primal ratio 0.835807540, upper 0.835807543, margin 1.642e-01  (maxrc 1.6e-09, lead>0 True, it 60) 
q=0.50000 a=0.4000: primal ratio 0.836525968, upper 0.836525970, margin 1.635e-01  (maxrc 1.3e-09, lead>0 True, it 60) 
q=0.50000 a=0.4500: primal ratio 0.844375629, upper 0.844375637, margin 1.556e-01  (maxrc 3.5e-09, lead>0 True, it 60) 
q=0.50000 a=0.5000: primal ratio 0.854967461, upper 0.854967463, margin 1.450e-01  (maxrc 6.4e-10, lead>0 True, it 60) 
q=0.50000 a=0.5500: primal ratio 0.864105046, upper 0.864105071, margin 1.359e-01  (maxrc 1.2e-08, lead>0 True, it 60) 
q=0.50000 a=0.6000: primal ratio 0.866661244, upper 0.866661244, margin 1.333e-01  (maxrc 0.0e+00, lead>0 False, it 3) 
q=0.50000 a=0.6500: primal ratio 0.872089716, upper 0.872089716, margin 1.279e-01  (maxrc 5.6e-14, lead>0 False, it 60) 
q=0.50000 a=0.6800: primal ratio 0.876466865, upper 0.876466865, margin 1.235e-01  (maxrc 1.7e-14, lead>0 False, it 60) 
q=0.50000 a=0.7000: primal ratio 0.878665883, upper 0.878665883, margin 1.213e-01  (maxrc 1.7e-16, lead>0 False, it 60) 
q=0.50000 a=0.7071: primal ratio 0.879295840, upper 0.879295840, margin 1.207e-01  (maxrc 1.1e-16, lead>0 False, it 60) 
q=0.50000 a=0.7150: primal ratio 0.879899408, upper 0.879899410, margin 1.201e-01  (maxrc 8.6e-10, lead>0 False, it 60) 
q=0.50000 a=0.7300: primal ratio 0.880750575, upper 0.880750575, margin 1.192e-01  (maxrc 1.4e-16, lead>0 False, it 60) 
q=0.50000 a=0.7600: primal ratio 0.881194010, upper 0.881194010, margin 1.188e-01  (maxrc 2.4e-14, lead>0 False, it 60) 
q=0.50000 a=0.8000: primal ratio 0.879203403, upper 0.879203461, margin 1.208e-01  (maxrc 2.9e-08, lead>0 False, it 60) 
q=0.50000 a=0.8500: primal ratio 0.887413833, upper 0.887413833, margin 1.126e-01  (maxrc 1.4e-16, lead>0 False, it 60) 
q=0.50000 a=0.9000: primal ratio 0.911205820, upper 0.911205824, margin 8.879e-02  (maxrc 1.6e-09, lead>0 True, it 60) 
q=0.50000 a=0.9500: primal ratio 0.950768360, upper 0.950768360, margin 4.923e-02  (maxrc 1.5e-18, lead>0 True, it 60) 
q=0.50000 a=0.9800: primal ratio 0.980032914, upper 0.980032929, margin 1.997e-02  (maxrc 7.4e-09, lead>0 True, it 60) 
== q=0.50000: min margin 1.997e-02 at a=0.98
