matrix 0 [[1. 0. 0. 0.] [0. 1. 0. 0.] [0. 0. 1. 0.]] matrix 1 [[-0.80901699 -0.11026409 0.57735027 0. ] [-0.11026409 -0.936339 -0.33333333 0. ] [ 0.57735027 -0.33333333 0.74535599 0. ]] matrix 2 [[ 0. -0.35682209 -0.93417236 0. ] [ 0.93417236 -0.33333333 0.127322 0. ] [-0.35682209 -0.872678 0.33333333 0. ]] matrix 3 [[ 0.80901699 0.46708618 0.35682209 0. ] [-0.11026409 -0.47568366 0.872678 0. ] [ 0.57735027 -0.74535599 -0.33333333 0. ]] matrix 4 [[ 5.00000000e-01 6.45497224e-01 -5.77350269e-01 0.00000000e+00] [ 8.66025404e-01 -3.72677996e-01 3.33333333e-01 0.00000000e+00] [ 1.66533454e-16 -6.66666667e-01 -7.45355992e-01 0.00000000e+00]] matrix 5 [[-0.30901699 0.75576131 0.57735027 0. ] [-0.17841104 -0.64235033 0.74535599 0. ] [ 0.93417236 0.127322 0.33333333 0. ]] matrix 6 [[-0.80901699 0.11026409 -0.57735027 0. ] [ 0.11026409 -0.936339 -0.33333333 0. ] [-0.57735027 -0.33333333 0.74535599 0. ]] matrix 7 [[-0.80901699 0.46708618 0.35682209 0. ] [-0.46708618 -0.14235033 -0.872678 0. ] [-0.35682209 -0.872678 0.33333333 0. ]] matrix 8 [[-0.30901699 0.17841104 -0.93417236 0. ] [ 0.75576131 0.64235033 -0.127322 0. ] [ 0.57735027 -0.74535599 -0.33333333 0. ]] matrix 9 [[ 5.00000000e-01 8.66025404e-01 1.66533454e-16 0.00000000e+00] [-6.45497224e-01 3.72677996e-01 6.66666667e-01 0.00000000e+00] [ 5.77350269e-01 -3.33333333e-01 7.45355992e-01 0.00000000e+00]] matrix 10 [[ 0. 0.93417236 -0.35682209 0. ] [ 0.35682209 0.33333333 0.872678 0. ] [ 0.93417236 -0.127322 -0.33333333 0. ]] matrix 11 [[-5.00000000e-01 8.66025404e-01 1.66533454e-16 0.00000000e+00] [-8.66025404e-01 -5.00000000e-01 -1.11022302e-16 0.00000000e+00] [-1.66533454e-16 -1.66533454e-16 1.00000000e+00 0.00000000e+00]] matrix 12 [[-0.5 0.64549722 -0.57735027 0. ] [ 0.64549722 -0.16666667 -0.74535599 0. ] [-0.57735027 -0.74535599 -0.33333333 0. ]] matrix 13 [[-0.30901699 0.75576131 0.57735027 0. ] [ 0.17841104 0.64235033 -0.74535599 0. ] [-0.93417236 -0.127322 -0.33333333 0. ]] matrix 14 [[-0.80901699 0.11026409 -0.57735027 0. ] [-0.11026409 0.936339 0.33333333 0. ] [ 0.57735027 0.33333333 -0.74535599 0. ]] matrix 15 [[ 5.00000000e-01 6.45497224e-01 -5.77350269e-01 0.00000000e+00] [-8.66025404e-01 3.72677996e-01 -3.33333333e-01 0.00000000e+00] [-1.66533454e-16 6.66666667e-01 7.45355992e-01 0.00000000e+00]] matrix 16 [[-0.5 0.64549722 -0.57735027 0. ] [-0.64549722 0.16666667 0.74535599 0. ] [ 0.57735027 0.74535599 0.33333333 0. ]] matrix 17 [[ 0. 0.93417236 -0.35682209 0. ] [-0.35682209 -0.33333333 -0.872678 0. ] [-0.93417236 0.127322 0.33333333 0. ]] matrix 18 [[-5.00000000e-01 8.66025404e-01 1.66533454e-16 0.00000000e+00] [ 8.66025404e-01 5.00000000e-01 1.11022302e-16 0.00000000e+00] [ 1.66533454e-16 1.66533454e-16 -1.00000000e+00 0.00000000e+00]] matrix 19 [[ 0. 0.35682209 0.93417236 0. ] [ 0.93417236 0.33333333 -0.127322 0. ] [-0.35682209 0.872678 -0.33333333 0. ]] matrix 20 [[-0.80901699 -0.46708618 -0.35682209 0. ] [-0.46708618 0.14235033 0.872678 0. ] [-0.35682209 0.872678 -0.33333333 0. ]] matrix 21 [[ 0.80901699 0.11026409 -0.57735027 0. ] [-0.46708618 -0.47568366 -0.74535599 0. ] [-0.35682209 0.872678 -0.33333333 0. ]] matrix 22 [[-0.30901699 0.17841104 -0.93417236 0. ] [-0.75576131 -0.64235033 0.127322 0. ] [-0.57735027 0.74535599 0.33333333 0. ]] matrix 23 [[ 5.00000000e-01 8.66025404e-01 1.66533454e-16 0.00000000e+00] [ 6.45497224e-01 -3.72677996e-01 -6.66666667e-01 0.00000000e+00] [-5.77350269e-01 3.33333333e-01 -7.45355992e-01 0.00000000e+00]] matrix 24 [[-0.80901699 0.46708618 0.35682209 0. ] [ 0.46708618 0.14235033 0.872678 0. ] [ 0.35682209 0.872678 -0.33333333 0. ]] matrix 25 [[-0.30901699 -0.17841104 0.93417236 0. ] [ 0.75576131 -0.64235033 0.127322 0. ] [ 0.57735027 0.74535599 0.33333333 0. ]] matrix 26 [[-0.30901699 -0.75576131 -0.57735027 0. ] [ 0.17841104 -0.64235033 0.74535599 0. ] [-0.93417236 0.127322 0.33333333 0. ]] matrix 27 [[ 1. -0. 0. 0.] [ 0. -1. 0. 0.] [ 0. 0. -1. 0.]] matrix 28 [[ 0.30901699 0.17841104 -0.93417236 0. ] [ 0.17841104 -0.97568366 -0.127322 0. ] [-0.93417236 -0.127322 -0.33333333 0. ]] matrix 29 [[ 0.30901699 0.75576131 0.57735027 0. ] [ 0.75576131 -0.563661 0.33333333 0. ] [ 0.57735027 0.33333333 -0.74535599 0. ]] matrix 30 [[-1. 0. 0. 0. ] [ 0. -0.74535599 0.66666667 0. ] [ 0. 0.66666667 0.74535599 0. ]] matrix 31 [[ 0.80901699 0.11026409 -0.57735027 0. ] [ 0.46708618 0.47568366 0.74535599 0. ] [ 0.35682209 -0.872678 0.33333333 0. ]] matrix 32 [[ 0. 0.35682209 0.93417236 0. ] [-0.93417236 -0.33333333 0.127322 0. ] [ 0.35682209 -0.872678 0.33333333 0. ]] matrix 33 [[-0.80901699 -0.46708618 -0.35682209 0. ] [ 0.46708618 -0.14235033 -0.872678 0. ] [ 0.35682209 -0.872678 0.33333333 0. ]] matrix 34 [[-0.5 -0.64549722 0.57735027 0. ] [-0.64549722 -0.16666667 -0.74535599 0. ] [ 0.57735027 -0.74535599 -0.33333333 0. ]] matrix 35 [[ 0.30901699 -0.75576131 -0.57735027 0. ] [ 0.75576131 0.563661 -0.33333333 0. ] [ 0.57735027 -0.33333333 0.74535599 0. ]] matrix 36 [[ 0.80901699 -0.11026409 0.57735027 0. ] [-0.46708618 0.47568366 0.74535599 0. ] [-0.35682209 -0.872678 0.33333333 0. ]] matrix 37 [[ 0.80901699 -0.46708618 -0.35682209 0. ] [ 0.11026409 -0.47568366 0.872678 0. ] [-0.57735027 -0.74535599 -0.33333333 0. ]] matrix 38 [[ 0.30901699 -0.17841104 0.93417236 0. ] [-0.17841104 -0.97568366 -0.127322 0. ] [ 0.93417236 -0.127322 -0.33333333 0. ]] matrix 39 [[-5.00000000e-01 -8.66025404e-01 -1.66533454e-16 0.00000000e+00] [ 8.66025404e-01 -5.00000000e-01 -1.11022302e-16 0.00000000e+00] [ 1.66533454e-16 -1.66533454e-16 1.00000000e+00 0.00000000e+00]] matrix 40 [[ 0. -0.93417236 0.35682209 0. ] [ 0.35682209 -0.33333333 -0.872678 0. ] [ 0.93417236 0.127322 0.33333333 0. ]] matrix 41 [[ 5.00000000e-01 -8.66025404e-01 -1.66533454e-16 0.00000000e+00] [ 6.45497224e-01 3.72677996e-01 6.66666667e-01 0.00000000e+00] [-5.77350269e-01 -3.33333333e-01 7.45355992e-01 0.00000000e+00]] matrix 42 [[ 5.00000000e-01 -6.45497224e-01 5.77350269e-01 0.00000000e+00] [-8.66025404e-01 -3.72677996e-01 3.33333333e-01 0.00000000e+00] [-1.66533454e-16 -6.66666667e-01 -7.45355992e-01 0.00000000e+00]] matrix 43 [[ 0.30901699 -0.75576131 -0.57735027 0. ] [-0.75576131 -0.563661 0.33333333 0. ] [-0.57735027 0.33333333 -0.74535599 0. ]] matrix 44 [[ 0.80901699 -0.11026409 0.57735027 0. ] [ 0.46708618 -0.47568366 -0.74535599 0. ] [ 0.35682209 0.872678 -0.33333333 0. ]] matrix 45 [[-0.5 -0.64549722 0.57735027 0. ] [ 0.64549722 0.16666667 0.74535599 0. ] [-0.57735027 0.74535599 0.33333333 0. ]] matrix 46 [[ 5.00000000e-01 -6.45497224e-01 5.77350269e-01 0.00000000e+00] [ 8.66025404e-01 3.72677996e-01 -3.33333333e-01 0.00000000e+00] [ 1.66533454e-16 6.66666667e-01 7.45355992e-01 0.00000000e+00]] matrix 47 [[ 0. -0.93417236 0.35682209 0. ] [-0.35682209 0.33333333 0.872678 0. ] [-0.93417236 -0.127322 -0.33333333 0. ]] matrix 48 [[ 5.00000000e-01 -8.66025404e-01 -1.66533454e-16 0.00000000e+00] [-6.45497224e-01 -3.72677996e-01 -6.66666667e-01 0.00000000e+00] [ 5.77350269e-01 3.33333333e-01 -7.45355992e-01 0.00000000e+00]] matrix 49 [[ 0. -0.35682209 -0.93417236 0. ] [-0.93417236 0.33333333 -0.127322 0. ] [ 0.35682209 0.872678 -0.33333333 0. ]] matrix 50 [[ 0.80901699 0.46708618 0.35682209 0. ] [ 0.11026409 0.47568366 -0.872678 0. ] [-0.57735027 0.74535599 0.33333333 0. ]] matrix 51 [[-0.80901699 -0.11026409 0.57735027 0. ] [ 0.11026409 0.936339 0.33333333 0. ] [-0.57735027 0.33333333 -0.74535599 0. ]] matrix 52 [[ 0.30901699 -0.17841104 0.93417236 0. ] [ 0.17841104 0.97568366 0.127322 0. ] [-0.93417236 0.127322 0.33333333 0. ]] matrix 53 [[-5.00000000e-01 -8.66025404e-01 -1.66533454e-16 0.00000000e+00] [-8.66025404e-01 5.00000000e-01 1.11022302e-16 0.00000000e+00] [-1.66533454e-16 1.66533454e-16 -1.00000000e+00 0.00000000e+00]] matrix 54 [[ 0.80901699 -0.46708618 -0.35682209 0. ] [-0.11026409 0.47568366 -0.872678 0. ] [ 0.57735027 0.74535599 0.33333333 0. ]] matrix 55 [[ 0.30901699 0.17841104 -0.93417236 0. ] [-0.17841104 0.97568366 0.127322 0. ] [ 0.93417236 0.127322 0.33333333 0. ]] matrix 56 [[ 0.30901699 0.75576131 0.57735027 0. ] [-0.75576131 0.563661 -0.33333333 0. ] [-0.57735027 -0.33333333 0.74535599 0. ]] matrix 57 [[-1. 0. -0. 0. ] [ 0. 0.74535599 -0.66666667 0. ] [ 0. -0.66666667 -0.74535599 0. ]] matrix 58 [[-0.30901699 -0.17841104 0.93417236 0. ] [-0.75576131 0.64235033 -0.127322 0. ] [-0.57735027 -0.74535599 -0.33333333 0. ]] matrix 59 [[-0.30901699 -0.75576131 -0.57735027 0. ] [-0.17841104 0.64235033 -0.74535599 0. ] [ 0.93417236 -0.127322 -0.33333333 0. ]]