TA Algorithm to find a lean design Runs n=36, Factors s=19. Initial Design: 1 1 1 1 1 1 1 2 2 3 3 2 2 3 3 2 2 3 3 2 2 2 1 1 1 2 2 2 3 3 3 3 2 2 3 3 2 2 1 2 1 2 2 2 2 3 3 2 2 2 2 3 3 3 3 2 2 2 1 2 2 2 1 2 3 3 2 2 3 3 2 2 2 2 3 3 1 1 1 2 1 1 2 2 3 2 3 3 1 3 1 1 2 1 2 2 2 1 1 2 1 1 2 3 2 3 1 3 1 3 2 1 2 1 1 2 2 1 1 2 2 3 2 3 2 3 1 3 1 2 1 2 1 2 1 2 2 1 2 1 3 2 3 2 1 3 1 3 1 2 1 2 1 1 2 1 2 2 1 2 3 3 2 1 2 2 1 3 1 1 3 2 2 1 2 1 2 1 2 3 3 2 2 1 1 2 1 3 3 1 1 2 2 2 2 1 1 3 2 2 3 1 2 2 1 1 3 3 1 2 1 1 1 2 2 2 3 2 2 3 2 1 1 2 3 1 1 3 1 1 1 1 1 1 1 3 3 1 1 3 3 1 1 3 3 1 1 2 2 2 1 1 1 2 3 3 1 1 1 1 3 3 1 1 3 3 1 2 1 2 2 2 2 1 1 3 3 3 3 1 1 1 1 3 3 2 1 2 2 2 1 2 1 1 3 3 1 1 3 3 3 3 1 1 1 1 1 2 1 1 2 3 1 3 1 1 2 1 2 2 3 2 3 2 2 1 1 2 1 1 3 1 3 1 2 1 2 1 3 2 3 2 1 2 2 1 1 2 2 1 3 1 3 1 2 1 2 3 2 3 2 2 1 2 2 1 2 1 1 3 1 3 2 1 2 1 2 3 2 3 1 1 2 1 2 2 1 3 1 1 3 2 3 3 2 1 2 2 1 2 2 1 2 1 2 1 3 1 1 3 3 2 2 3 2 1 1 2 1 2 2 2 2 1 1 1 3 3 1 2 3 3 2 2 1 1 2 2 1 1 1 2 2 2 1 3 3 1 3 2 2 3 1 2 2 1 1 1 1 1 1 1 1 1 1 2 2 1 1 2 2 1 1 2 2 2 2 2 1 1 1 2 1 1 2 2 2 2 1 1 2 2 1 1 1 2 1 2 2 2 2 2 2 1 1 1 1 2 2 2 2 1 1 2 1 2 2 2 1 2 2 2 1 1 2 2 1 1 1 1 2 2 1 1 1 2 1 1 2 1 2 1 2 2 3 2 3 3 1 3 1 2 2 1 1 2 1 1 1 2 1 2 3 2 3 2 1 3 1 3 1 2 2 1 1 2 2 2 1 2 1 2 3 2 3 1 3 1 3 2 1 2 2 1 2 1 2 1 2 1 3 2 3 2 3 1 3 1 1 1 2 1 2 2 1 1 2 2 1 3 1 1 3 2 3 3 2 2 2 1 2 1 2 1 1 2 2 1 1 3 3 1 3 2 2 3 1 2 2 2 2 1 1 2 1 1 2 3 1 1 3 3 2 2 3 2 1 1 1 2 2 2 2 1 1 2 1 3 3 1 2 3 3 2 Criterion: maximize Det(X(5)'X(5))*...*Det(X(36)'X(36)) Search Type:(b) - f1(x1) ... f1(xs) f2(x1) ... f2(xs) Result Design: 1 2 1 2 2 2 2 3 3 2 3 2 2 3 2 3 3 2 2 2 1 1 1 2 2 2 1 3 3 2 1 3 2 2 1 3 2 1 1 1 2 1 2 2 1 3 1 1 2 3 2 3 3 1 2 2 1 2 1 2 2 1 2 1 1 3 1 3 3 2 2 1 2 1 2 3 2 2 2 1 1 1 2 3 3 1 1 1 1 3 1 1 3 3 3 1 1 1 1 1 1 1 3 3 1 3 1 3 1 3 3 1 1 1 2 1 2 2 2 1 2 1 1 3 3 3 1 3 1 3 3 1 1 2 2 1 1 2 1 1 1 2 1 3 2 3 3 2 1 2 1 3 1 2 2 1 1 2 2 2 1 2 3 1 2 2 3 1 3 1 3 2 1 1 1 2 2 2 2 1 1 3 2 1 3 3 2 1 3 2 2 1 2 2 1 2 1 2 1 2 1 1 3 3 2 3 2 3 1 1 1 1 2 1 1 2 1 2 1 1 2 2 2 3 3 3 3 1 1 1 1 1 1 1 1 2 2 3 2 3 2 3 2 2 3 3 3 2 2 2 1 1 1 2 2 2 3 3 3 3 2 3 3 2 2 2 2 1 2 2 1 2 1 3 2 3 2 2 1 1 3 1 3 1 2 2 1 1 1 2 2 2 3 2 2 1 3 2 1 1 3 2 1 3 1 1 2 1 2 2 1 2 3 3 1 2 1 2 2 3 1 1 3 1 1 1 2 1 1 2 2 3 2 2 3 3 3 1 1 1 1 2 1 2 1 2 2 2 2 1 1 3 1 3 3 1 3 1 1 3 3 2 1 2 2 2 1 2 3 3 2 2 2 3 2 3 2 2 3 3 1 2 2 2 2 1 1 2 1 1 2 2 3 1 1 3 3 2 3 2 2 1 1 2 1 1 2 3 2 1 3 1 1 3 2 3 2 1 1 2 2 2 2 1 1 3 2 2 3 3 1 2 2 1 1 3 1 2 2 1 2 1 2 1 1 2 2 2 1 1 3 3 3 1 2 3 2 2 2 1 1 1 2 1 1 2 2 2 2 1 2 2 1 1 1 2 1 2 2 2 1 2 2 2 1 1 1 2 1 2 1 1 2 2 2 2 1 1 2 1 1 3 1 3 2 1 2 2 1 3 1 3 2 2 2 1 2 1 2 1 3 1 1 1 3 3 2 2 2 3 1 2 1 2 2 1 1 2 2 3 2 3 1 2 3 3 1 2 1 2 1 1 2 1 2 2 2 2 2 2 1 2 1 1 2 1 2 2 1 1 1 1 1 2 1 1 2 3 1 3 3 1 1 1 2 2 2 2 3 1 1 2 1 2 2 1 1 2 2 3 1 3 1 1 2 3 3 2 1 2 2 1 1 2 2 1 3 1 2 3 1 1 2 3 2 3 2 1 1 1 1 1 1 1 1 1 2 1 2 1 2 1 1 2 2 2 2 2 1 2 1 2 1 2 3 3 3 2 2 1 1 1 2 3 1 1 2 2 2 2 1 1 1 3 3 1 1 2 3 3 2 2 1 2 Runs Permutation: 3 24 21 20 14 13 16 30 31 36 32 29 1 2 8 12 9 5 15 4 35 6 11 34 26 28 18 22 7 27 17 33 19 25 10 23 Factors Permutation: 1 2 3 4 5 6 7 8 9 10 17 11 12 14 13 16 15 18 19 Max Product Det: 4.6852e-13 ============================================ Expanded Matrix: 1 -1 1 -1 1 1 1 1 1 1 0 1 0 0 1 0 1 1 0 0 -1 -1 2 -1 2 2 -1 2 -1 -1 2 2 1 1 -1 -1 -1 1 1 1 -1 1 1 0 -1 1 0 0 -1 1 0 -1 -1 -1 -1 2 -1 -1 2 2 -1 -1 2 -1 1 -1 -1 1 -1 1 1 -1 1 -1 -1 0 1 0 1 1 -1 0 0 -1 -1 -1 -1 2 -1 2 -1 -1 -1 2 2 -1 1 1 -1 1 1 -1 1 -1 -1 1 -1 1 1 0 0 -1 0 -1 0 1 -1 -1 -1 -1 -1 2 2 -1 2 -1 2 -1 1 1 1 1 -1 -1 -1 1 1 1 -1 -1 -1 -1 1 -1 -1 1 1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 -1 -1 -1 -1 -1 -1 -1 1 1 -1 1 -1 1 -1 1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 1 -1 1 1 1 -1 1 -1 -1 1 1 1 -1 1 -1 1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 1 1 -1 -1 1 -1 -1 -1 0 -1 1 0 1 1 0 -1 0 -1 1 -1 2 -1 -1 2 -1 -1 2 -1 2 -1 -1 1 -1 1 1 -1 -1 1 1 0 -1 0 1 -1 0 0 1 -1 1 -1 1 2 -1 2 -1 -1 2 2 -1 -1 -1 -1 -1 1 1 -1 -1 -1 1 1 1 0 -1 -1 1 0 -1 1 1 0 -1 1 0 2 -1 -1 -1 2 -1 -1 -1 2 -1 -1 2 1 1 -1 1 1 -1 1 -1 0 -1 0 -1 -1 1 1 0 1 0 1 -1 2 -1 2 -1 -1 -1 -1 2 -1 2 -1 -1 1 -1 -1 -1 1 -1 -1 1 -1 0 -1 -1 0 0 0 1 1 1 1 -1 -1 2 -1 -1 2 2 2 -1 -1 -1 -1 -1 1 -1 -1 -1 -1 -1 -1 -1 0 0 1 0 1 0 1 0 0 1 1 1 2 2 -1 2 -1 2 -1 2 2 -1 -1 -1 1 1 1 1 -1 -1 -1 1 0 0 1 1 1 1 0 1 1 0 0 0 2 2 -1 -1 -1 -1 2 -1 -1 2 2 2 1 1 -1 1 1 -1 1 -1 1 0 1 0 0 -1 -1 1 -1 1 -1 0 -1 2 -1 2 2 -1 -1 -1 -1 -1 -1 2 1 1 -1 -1 -1 1 1 1 1 0 0 -1 1 0 -1 -1 1 0 -1 1 -1 2 2 -1 -1 2 -1 -1 -1 2 -1 -1 1 -1 -1 1 -1 1 1 -1 0 1 1 -1 0 -1 0 0 1 -1 -1 1 2 -1 -1 -1 2 -1 2 2 -1 -1 -1 -1 1 -1 -1 -1 1 -1 -1 1 0 1 0 0 1 1 1 -1 -1 -1 -1 0 2 -1 2 2 -1 -1 -1 -1 -1 -1 -1 2 1 -1 1 -1 1 1 1 1 -1 -1 1 -1 1 1 -1 1 -1 -1 1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 1 -1 1 1 1 -1 1 1 1 0 0 0 1 0 1 0 0 1 1 -1 -1 2 2 2 -1 2 -1 2 2 -1 -1 1 -1 1 1 1 1 -1 -1 0 -1 -1 0 0 1 -1 -1 1 1 0 1 2 -1 -1 2 2 -1 -1 -1 -1 -1 2 -1 1 1 1 -1 -1 1 -1 -1 0 1 0 -1 1 -1 -1 1 0 1 0 -1 2 -1 2 -1 -1 -1 -1 -1 2 -1 2 -1 1 -1 1 1 1 1 -1 -1 1 0 0 1 1 -1 0 0 -1 -1 1 -1 -1 2 2 -1 -1 -1 2 2 -1 -1 -1 -1 1 1 1 -1 1 -1 1 -1 -1 0 0 0 -1 -1 1 1 1 -1 0 1 -1 2 2 2 -1 -1 -1 -1 -1 -1 2 -1 1 1 1 1 -1 -1 -1 1 -1 -1 0 0 0 0 -1 0 0 -1 -1 -1 -1 -1 2 2 2 2 -1 2 2 -1 -1 -1 1 1 -1 1 1 1 -1 1 0 0 -1 -1 -1 0 -1 0 -1 -1 0 0 2 2 -1 -1 -1 2 -1 2 -1 -1 2 2 1 1 1 -1 -1 1 -1 -1 1 -1 1 0 -1 0 0 -1 1 -1 1 0 -1 -1 -1 2 -1 2 2 -1 -1 -1 -1 2 1 1 1 -1 1 -1 1 -1 1 -1 -1 -1 1 1 0 0 0 1 -1 0 -1 -1 -1 -1 -1 -1 2 2 2 -1 -1 2 1 -1 1 1 -1 -1 1 1 1 0 1 -1 0 1 1 -1 0 -1 0 -1 -1 2 -1 -1 2 -1 -1 -1 2 -1 2 -1 1 -1 1 -1 1 1 1 1 0 0 -1 0 -1 -1 0 -1 0 0 -1 -1 2 2 -1 2 -1 -1 2 -1 2 2 -1 -1 1 -1 -1 -1 1 -1 -1 1 1 -1 1 1 -1 -1 -1 0 0 0 0 1 -1 -1 -1 -1 -1 -1 -1 2 2 2 2 -1 1 -1 -1 1 -1 1 1 -1 -1 0 0 1 -1 1 -1 -1 0 1 1 0 -1 2 2 -1 -1 -1 -1 -1 2 -1 -1 2 1 -1 1 1 -1 -1 1 1 -1 1 -1 0 1 -1 -1 0 1 0 1 0 -1 -1 -1 2 -1 -1 -1 2 -1 2 -1 2 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -1 0 -1 -1 0 0 0 -1 -1 2 -1 2 -1 2 -1 -1 2 2 2 1 1 1 -1 1 -1 1 -1 0 1 1 1 0 0 -1 -1 -1 0 1 -1 2 -1 -1 -1 2 2 -1 -1 -1 2 -1 -1 1 -1 1 1 1 1 -1 -1 -1 1 1 -1 -1 0 1 1 0 0 -1 0 -1 -1 -1 -1 -1 2 -1 -1 2 2 -1 2 Det(X'X)^(1/k) - Std EachStd Original --------------------------- Top 5 Left 5 Corner: 0.130675 0.940863 4.704316 Top 6 Left 6 Corner: 0.150801 0.904806 5.428835 Top 7 Left 7 Corner: 0.170761 0.878201 6.147409 Top 8 Left 8 Corner: 0.192450 0.866025 6.928203 Top 9 Left 9 Corner: 0.207257 0.802946 7.132557 Top 10 Left 10 Corner: 0.217418 0.745842 7.217392 Top 11 Left 11 Corner: 0.228464 0.715503 7.363682 Top 12 Left 12 Corner: 0.271855 0.770514 8.549526 Top 13 Left 13 Corner: 0.286722 0.763759 8.831531 Top 14 Left 14 Corner: 0.295824 0.745837 8.950932 Top 15 Left 15 Corner: 0.299994 0.711763 8.937966 Top 16 Left 16 Corner: 0.324376 0.724203 9.534679 Top 17 Left 17 Corner: 0.356962 0.746583 10.368120 Top 18 Left 18 Corner: 0.374436 0.736934 10.760969 Top 19 Left 19 Corner: 0.402809 0.738336 11.467113 Top 20 Left 20 Corner: 0.430179 0.752920 12.142175 Top 21 Left 21 Corner: 0.451891 0.753086 13.336682 Top 22 Left 22 Corner: 0.464465 0.742488 14.274881 Top 23 Left 23 Corner: 0.515861 0.788692 16.452294 Top 24 Left 24 Corner: 0.539340 0.789861 17.794719 Top 25 Left 25 Corner: 0.567837 0.801227 19.328952 Top 26 Left 26 Corner: 0.589087 0.802748 20.638474 Top 27 Left 27 Corner: 0.619143 0.813345 22.277963 Top 28 Left 28 Corner: 0.650771 0.826003 24.003345 Top 29 Left 29 Corner: 0.675217 0.831604 25.486121 Top 30 Left 30 Corner: 0.690384 0.826805 26.625657 Top 31 Left 31 Corner: 0.732358 0.848101 28.818977 Top 32 Left 32 Corner: 0.759836 0.855602 30.470123 Top 33 Left 32 Corner: 0.813841 0.888402 32.635802 Top 34 Left 32 Corner: 0.871686 0.923336 34.955408 Top 35 Left 32 Corner: 0.933641 0.960464 37.439880 Top 36 Left 32 Corner: 1.000000 1.000000 40.100938 Det Product: 4.685221221414285e-13 0.00113582167970302 4.476669166241948e+36 ============================================ Expanded Matrix for initial design: 1 -1 -1 -1 -1 -1 -1 -1 0 0 1 1 0 0 1 1 0 0 1 1 2 2 -1 -1 2 2 -1 -1 2 2 -1 -1 1 1 1 1 -1 -1 -1 1 0 0 1 1 1 1 0 0 1 1 0 0 2 2 -1 -1 -1 -1 2 2 -1 -1 2 2 1 -1 1 -1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 -1 -1 2 2 2 2 -1 -1 -1 -1 2 2 1 1 -1 1 1 1 -1 1 1 1 0 0 1 1 0 0 0 0 1 1 -1 -1 2 2 -1 -1 2 2 2 2 -1 -1 1 -1 -1 -1 1 -1 -1 1 0 1 0 1 1 -1 1 -1 -1 0 -1 0 2 -1 2 -1 -1 -1 -1 -1 -1 2 -1 2 1 1 1 -1 -1 1 -1 -1 0 1 0 1 -1 1 -1 1 0 -1 0 -1 2 -1 2 -1 -1 -1 -1 -1 2 -1 2 -1 1 -1 1 1 -1 -1 1 1 1 0 1 0 1 -1 1 -1 0 -1 0 -1 -1 2 -1 2 -1 -1 -1 -1 2 -1 2 -1 1 1 -1 1 1 -1 1 -1 1 0 1 0 -1 1 -1 1 -1 0 -1 0 -1 2 -1 2 -1 -1 -1 -1 -1 2 -1 2 1 -1 -1 1 -1 1 1 -1 0 1 1 0 -1 0 0 -1 1 -1 -1 1 2 -1 -1 2 -1 2 2 -1 -1 -1 -1 -1 1 1 1 -1 1 -1 1 -1 0 1 1 0 0 -1 -1 0 -1 1 1 -1 2 -1 -1 2 2 -1 -1 2 -1 -1 -1 -1 1 -1 1 1 1 1 -1 -1 1 0 0 1 -1 0 0 -1 -1 1 1 -1 -1 2 2 -1 -1 2 2 -1 -1 -1 -1 -1 1 1 -1 -1 -1 1 1 1 1 0 0 1 0 -1 -1 0 1 -1 -1 1 -1 2 2 -1 2 -1 -1 2 -1 -1 -1 -1 1 -1 -1 -1 -1 -1 -1 -1 1 1 -1 -1 1 1 -1 -1 1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 1 1 1 -1 -1 -1 1 1 1 -1 -1 -1 -1 1 1 -1 -1 1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 -1 1 -1 1 1 1 1 -1 -1 1 1 1 1 -1 -1 -1 -1 1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 1 -1 1 1 1 -1 1 -1 -1 1 1 -1 -1 1 1 1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 -1 -1 -1 1 -1 -1 1 1 -1 1 -1 -1 0 -1 0 0 1 0 1 -1 -1 -1 -1 -1 2 -1 2 2 -1 2 -1 1 1 1 -1 -1 1 -1 -1 1 -1 1 -1 0 -1 0 -1 1 0 1 0 -1 -1 -1 -1 2 -1 2 -1 -1 2 -1 2 1 -1 1 1 -1 -1 1 1 -1 1 -1 1 -1 0 -1 0 1 0 1 0 -1 -1 -1 -1 -1 2 -1 2 -1 2 -1 2 1 1 -1 1 1 -1 1 -1 -1 1 -1 1 0 -1 0 -1 0 1 0 1 -1 -1 -1 -1 2 -1 2 -1 2 -1 2 -1 1 -1 -1 1 -1 1 1 -1 1 -1 -1 1 0 1 1 0 -1 0 0 -1 -1 -1 -1 -1 2 -1 -1 2 -1 2 2 -1 1 1 1 -1 1 -1 1 -1 1 -1 -1 1 1 0 0 1 0 -1 -1 0 -1 -1 -1 -1 -1 2 2 -1 2 -1 -1 2 1 -1 1 1 1 1 -1 -1 -1 1 1 -1 0 1 1 0 0 -1 -1 0 -1 -1 -1 -1 2 -1 -1 2 2 -1 -1 2 1 1 -1 -1 -1 1 1 1 -1 1 1 -1 1 0 0 1 -1 0 0 -1 -1 -1 -1 -1 -1 2 2 -1 -1 2 2 -1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 -1 -1 2 2 -1 -1 2 2 -1 -1 2 2 1 1 1 1 -1 -1 -1 1 -1 -1 0 0 0 0 -1 -1 0 0 -1 -1 -1 -1 2 2 2 2 -1 -1 2 2 -1 -1 1 -1 1 -1 1 1 1 1 0 0 -1 -1 -1 -1 0 0 0 0 -1 -1 2 2 -1 -1 -1 -1 2 2 2 2 -1 -1 1 1 -1 1 1 1 -1 1 0 0 -1 -1 0 0 -1 -1 -1 -1 0 0 2 2 -1 -1 2 2 -1 -1 -1 -1 2 2 1 -1 -1 -1 1 -1 -1 1 -1 0 -1 0 0 1 0 1 1 -1 1 -1 -1 2 -1 2 2 -1 2 -1 -1 -1 -1 -1 1 1 1 -1 -1 1 -1 -1 -1 0 -1 0 1 0 1 0 -1 1 -1 1 -1 2 -1 2 -1 2 -1 2 -1 -1 -1 -1 1 -1 1 1 -1 -1 1 1 0 -1 0 -1 0 1 0 1 -1 1 -1 1 2 -1 2 -1 2 -1 2 -1 -1 -1 -1 -1 1 1 -1 1 1 -1 1 -1 0 -1 0 -1 1 0 1 0 1 -1 1 -1 2 -1 2 -1 -1 2 -1 2 -1 -1 -1 -1 1 -1 -1 1 -1 1 1 -1 -1 0 0 -1 1 -1 -1 1 0 1 1 0 -1 2 2 -1 -1 -1 -1 -1 2 -1 -1 2 1 1 1 -1 1 -1 1 -1 -1 0 0 -1 -1 1 1 -1 1 0 0 1 -1 2 2 -1 -1 -1 -1 -1 -1 2 2 -1 1 -1 1 1 1 1 -1 -1 0 -1 -1 0 1 -1 -1 1 1 0 0 1 2 -1 -1 2 -1 -1 -1 -1 -1 2 2 -1 1 1 -1 -1 -1 1 1 1 0 -1 -1 0 -1 1 1 -1 0 1 1 0 2 -1 -1 2 -1 -1 -1 -1 2 -1 -1 2 For inital design Det(X'X)^(1/k) - Std EachStd Original --------------------------- Top 5 Left 5 Corner: 0.000000 0.000614 0.000000 Top 6 Left 6 Corner: 0.111111 0.666667 4.000000 Top 7 Left 7 Corner: 0.001052 0.004848 0.000000 Top 8 Left 8 Corner: 0.002160 0.009742 0.000000 Top 9 Left 9 Corner: 0.003937 0.016472 0.000000 Top 10 Left 10 Corner: 0.004700 0.017896 0.000000 Top 11 Left 11 Corner: 0.126789 0.445614 4.086584 Top 12 Left 12 Corner: 0.010819 0.028001 0.000000 Top 13 Left 13 Corner: 0.140749 0.415034 4.335314 Top 14 Left 14 Corner: 0.179284 0.477049 5.424707 Top 15 Left 15 Corner: 0.027523 0.054219 0.000000 Top 16 Left 16 Corner: 0.004260 0.007875 0.000000 Top 17 Left 17 Corner: 0.042977 0.077597 1.000000 Top 18 Left 18 Corner: 0.271583 0.528866 7.805068 Top 19 Left 19 Corner: 0.297143 0.546018 8.459022 Top 20 Left 20 Corner: 0.066746 0.108018 1.631239 Top 21 Left 21 Corner: 0.073222 0.117278 2.033903 Top 22 Left 22 Corner: 0.080654 0.123914 2.287986 Top 23 Left 23 Corner: 0.079514 0.121319 2.574176 Top 24 Left 24 Corner: 0.020796 0.035190 0.000000 Top 25 Left 25 Corner: 0.104727 0.158959 3.480284 Top 26 Left 26 Corner: 0.116565 0.168360 3.829752 Top 27 Left 27 Corner: 0.132819 0.188509 4.778979 Top 28 Left 28 Corner: 0.047236 0.061632 1.555513 Top 29 Left 29 Corner: 0.169539 0.218165 5.952466 Top 30 Left 30 Corner: 0.576348 0.692312 22.227686 Top 31 Left 31 Corner: 0.233144 0.266477 9.011801 Top 32 Left 32 Corner: 0.261491 0.287511 9.790303 Top 33 Left 32 Corner: 0.274235 0.315104 11.126623 Top 34 Left 32 Corner: 0.298610 0.328296 11.928247 Top 35 Left 32 Corner: 0.933641 0.960464 37.439880 Top 36 Left 32 Corner: 1.000000 1.000000 40.100938 Det Product: 0+0i -3.8278e-31+2.1393e-31i 0+0i